#  MIQCP written by GAMS Convert at 02/15/18 15:46:25
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         51       51        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        626        1      625        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       1876     1251      625        0
# 
#  Reformulation has removed 1 variable and 1 equation


var b2 binary >= 0, <= 1;
var b3 binary >= 0, <= 1;
var b4 binary >= 0, <= 1;
var b5 binary >= 0, <= 1;
var b6 binary >= 0, <= 1;
var b7 binary >= 0, <= 1;
var b8 binary >= 0, <= 1;
var b9 binary >= 0, <= 1;
var b10 binary >= 0, <= 1;
var b11 binary >= 0, <= 1;
var b12 binary >= 0, <= 1;
var b13 binary >= 0, <= 1;
var b14 binary >= 0, <= 1;
var b15 binary >= 0, <= 1;
var b16 binary >= 0, <= 1;
var b17 binary >= 0, <= 1;
var b18 binary >= 0, <= 1;
var b19 binary >= 0, <= 1;
var b20 binary >= 0, <= 1;
var b21 binary >= 0, <= 1;
var b22 binary >= 0, <= 1;
var b23 binary >= 0, <= 1;
var b24 binary >= 0, <= 1;
var b25 binary >= 0, <= 1;
var b26 binary >= 0, <= 1;
var b27 binary >= 0, <= 1;
var b28 binary >= 0, <= 1;
var b29 binary >= 0, <= 1;
var b30 binary >= 0, <= 1;
var b31 binary >= 0, <= 1;
var b32 binary >= 0, <= 1;
var b33 binary >= 0, <= 1;
var b34 binary >= 0, <= 1;
var b35 binary >= 0, <= 1;
var b36 binary >= 0, <= 1;
var b37 binary >= 0, <= 1;
var b38 binary >= 0, <= 1;
var b39 binary >= 0, <= 1;
var b40 binary >= 0, <= 1;
var b41 binary >= 0, <= 1;
var b42 binary >= 0, <= 1;
var b43 binary >= 0, <= 1;
var b44 binary >= 0, <= 1;
var b45 binary >= 0, <= 1;
var b46 binary >= 0, <= 1;
var b47 binary >= 0, <= 1;
var b48 binary >= 0, <= 1;
var b49 binary >= 0, <= 1;
var b50 binary >= 0, <= 1;
var b51 binary >= 0, <= 1;
var b52 binary >= 0, <= 1;
var b53 binary >= 0, <= 1;
var b54 binary >= 0, <= 1;
var b55 binary >= 0, <= 1;
var b56 binary >= 0, <= 1;
var b57 binary >= 0, <= 1;
var b58 binary >= 0, <= 1;
var b59 binary >= 0, <= 1;
var b60 binary >= 0, <= 1;
var b61 binary >= 0, <= 1;
var b62 binary >= 0, <= 1;
var b63 binary >= 0, <= 1;
var b64 binary >= 0, <= 1;
var b65 binary >= 0, <= 1;
var b66 binary >= 0, <= 1;
var b67 binary >= 0, <= 1;
var b68 binary >= 0, <= 1;
var b69 binary >= 0, <= 1;
var b70 binary >= 0, <= 1;
var b71 binary >= 0, <= 1;
var b72 binary >= 0, <= 1;
var b73 binary >= 0, <= 1;
var b74 binary >= 0, <= 1;
var b75 binary >= 0, <= 1;
var b76 binary >= 0, <= 1;
var b77 binary >= 0, <= 1;
var b78 binary >= 0, <= 1;
var b79 binary >= 0, <= 1;
var b80 binary >= 0, <= 1;
var b81 binary >= 0, <= 1;
var b82 binary >= 0, <= 1;
var b83 binary >= 0, <= 1;
var b84 binary >= 0, <= 1;
var b85 binary >= 0, <= 1;
var b86 binary >= 0, <= 1;
var b87 binary >= 0, <= 1;
var b88 binary >= 0, <= 1;
var b89 binary >= 0, <= 1;
var b90 binary >= 0, <= 1;
var b91 binary >= 0, <= 1;
var b92 binary >= 0, <= 1;
var b93 binary >= 0, <= 1;
var b94 binary >= 0, <= 1;
var b95 binary >= 0, <= 1;
var b96 binary >= 0, <= 1;
var b97 binary >= 0, <= 1;
var b98 binary >= 0, <= 1;
var b99 binary >= 0, <= 1;
var b100 binary >= 0, <= 1;
var b101 binary >= 0, <= 1;
var b102 binary >= 0, <= 1;
var b103 binary >= 0, <= 1;
var b104 binary >= 0, <= 1;
var b105 binary >= 0, <= 1;
var b106 binary >= 0, <= 1;
var b107 binary >= 0, <= 1;
var b108 binary >= 0, <= 1;
var b109 binary >= 0, <= 1;
var b110 binary >= 0, <= 1;
var b111 binary >= 0, <= 1;
var b112 binary >= 0, <= 1;
var b113 binary >= 0, <= 1;
var b114 binary >= 0, <= 1;
var b115 binary >= 0, <= 1;
var b116 binary >= 0, <= 1;
var b117 binary >= 0, <= 1;
var b118 binary >= 0, <= 1;
var b119 binary >= 0, <= 1;
var b120 binary >= 0, <= 1;
var b121 binary >= 0, <= 1;
var b122 binary >= 0, <= 1;
var b123 binary >= 0, <= 1;
var b124 binary >= 0, <= 1;
var b125 binary >= 0, <= 1;
var b126 binary >= 0, <= 1;
var b127 binary >= 0, <= 1;
var b128 binary >= 0, <= 1;
var b129 binary >= 0, <= 1;
var b130 binary >= 0, <= 1;
var b131 binary >= 0, <= 1;
var b132 binary >= 0, <= 1;
var b133 binary >= 0, <= 1;
var b134 binary >= 0, <= 1;
var b135 binary >= 0, <= 1;
var b136 binary >= 0, <= 1;
var b137 binary >= 0, <= 1;
var b138 binary >= 0, <= 1;
var b139 binary >= 0, <= 1;
var b140 binary >= 0, <= 1;
var b141 binary >= 0, <= 1;
var b142 binary >= 0, <= 1;
var b143 binary >= 0, <= 1;
var b144 binary >= 0, <= 1;
var b145 binary >= 0, <= 1;
var b146 binary >= 0, <= 1;
var b147 binary >= 0, <= 1;
var b148 binary >= 0, <= 1;
var b149 binary >= 0, <= 1;
var b150 binary >= 0, <= 1;
var b151 binary >= 0, <= 1;
var b152 binary >= 0, <= 1;
var b153 binary >= 0, <= 1;
var b154 binary >= 0, <= 1;
var b155 binary >= 0, <= 1;
var b156 binary >= 0, <= 1;
var b157 binary >= 0, <= 1;
var b158 binary >= 0, <= 1;
var b159 binary >= 0, <= 1;
var b160 binary >= 0, <= 1;
var b161 binary >= 0, <= 1;
var b162 binary >= 0, <= 1;
var b163 binary >= 0, <= 1;
var b164 binary >= 0, <= 1;
var b165 binary >= 0, <= 1;
var b166 binary >= 0, <= 1;
var b167 binary >= 0, <= 1;
var b168 binary >= 0, <= 1;
var b169 binary >= 0, <= 1;
var b170 binary >= 0, <= 1;
var b171 binary >= 0, <= 1;
var b172 binary >= 0, <= 1;
var b173 binary >= 0, <= 1;
var b174 binary >= 0, <= 1;
var b175 binary >= 0, <= 1;
var b176 binary >= 0, <= 1;
var b177 binary >= 0, <= 1;
var b178 binary >= 0, <= 1;
var b179 binary >= 0, <= 1;
var b180 binary >= 0, <= 1;
var b181 binary >= 0, <= 1;
var b182 binary >= 0, <= 1;
var b183 binary >= 0, <= 1;
var b184 binary >= 0, <= 1;
var b185 binary >= 0, <= 1;
var b186 binary >= 0, <= 1;
var b187 binary >= 0, <= 1;
var b188 binary >= 0, <= 1;
var b189 binary >= 0, <= 1;
var b190 binary >= 0, <= 1;
var b191 binary >= 0, <= 1;
var b192 binary >= 0, <= 1;
var b193 binary >= 0, <= 1;
var b194 binary >= 0, <= 1;
var b195 binary >= 0, <= 1;
var b196 binary >= 0, <= 1;
var b197 binary >= 0, <= 1;
var b198 binary >= 0, <= 1;
var b199 binary >= 0, <= 1;
var b200 binary >= 0, <= 1;
var b201 binary >= 0, <= 1;
var b202 binary >= 0, <= 1;
var b203 binary >= 0, <= 1;
var b204 binary >= 0, <= 1;
var b205 binary >= 0, <= 1;
var b206 binary >= 0, <= 1;
var b207 binary >= 0, <= 1;
var b208 binary >= 0, <= 1;
var b209 binary >= 0, <= 1;
var b210 binary >= 0, <= 1;
var b211 binary >= 0, <= 1;
var b212 binary >= 0, <= 1;
var b213 binary >= 0, <= 1;
var b214 binary >= 0, <= 1;
var b215 binary >= 0, <= 1;
var b216 binary >= 0, <= 1;
var b217 binary >= 0, <= 1;
var b218 binary >= 0, <= 1;
var b219 binary >= 0, <= 1;
var b220 binary >= 0, <= 1;
var b221 binary >= 0, <= 1;
var b222 binary >= 0, <= 1;
var b223 binary >= 0, <= 1;
var b224 binary >= 0, <= 1;
var b225 binary >= 0, <= 1;
var b226 binary >= 0, <= 1;
var b227 binary >= 0, <= 1;
var b228 binary >= 0, <= 1;
var b229 binary >= 0, <= 1;
var b230 binary >= 0, <= 1;
var b231 binary >= 0, <= 1;
var b232 binary >= 0, <= 1;
var b233 binary >= 0, <= 1;
var b234 binary >= 0, <= 1;
var b235 binary >= 0, <= 1;
var b236 binary >= 0, <= 1;
var b237 binary >= 0, <= 1;
var b238 binary >= 0, <= 1;
var b239 binary >= 0, <= 1;
var b240 binary >= 0, <= 1;
var b241 binary >= 0, <= 1;
var b242 binary >= 0, <= 1;
var b243 binary >= 0, <= 1;
var b244 binary >= 0, <= 1;
var b245 binary >= 0, <= 1;
var b246 binary >= 0, <= 1;
var b247 binary >= 0, <= 1;
var b248 binary >= 0, <= 1;
var b249 binary >= 0, <= 1;
var b250 binary >= 0, <= 1;
var b251 binary >= 0, <= 1;
var b252 binary >= 0, <= 1;
var b253 binary >= 0, <= 1;
var b254 binary >= 0, <= 1;
var b255 binary >= 0, <= 1;
var b256 binary >= 0, <= 1;
var b257 binary >= 0, <= 1;
var b258 binary >= 0, <= 1;
var b259 binary >= 0, <= 1;
var b260 binary >= 0, <= 1;
var b261 binary >= 0, <= 1;
var b262 binary >= 0, <= 1;
var b263 binary >= 0, <= 1;
var b264 binary >= 0, <= 1;
var b265 binary >= 0, <= 1;
var b266 binary >= 0, <= 1;
var b267 binary >= 0, <= 1;
var b268 binary >= 0, <= 1;
var b269 binary >= 0, <= 1;
var b270 binary >= 0, <= 1;
var b271 binary >= 0, <= 1;
var b272 binary >= 0, <= 1;
var b273 binary >= 0, <= 1;
var b274 binary >= 0, <= 1;
var b275 binary >= 0, <= 1;
var b276 binary >= 0, <= 1;
var b277 binary >= 0, <= 1;
var b278 binary >= 0, <= 1;
var b279 binary >= 0, <= 1;
var b280 binary >= 0, <= 1;
var b281 binary >= 0, <= 1;
var b282 binary >= 0, <= 1;
var b283 binary >= 0, <= 1;
var b284 binary >= 0, <= 1;
var b285 binary >= 0, <= 1;
var b286 binary >= 0, <= 1;
var b287 binary >= 0, <= 1;
var b288 binary >= 0, <= 1;
var b289 binary >= 0, <= 1;
var b290 binary >= 0, <= 1;
var b291 binary >= 0, <= 1;
var b292 binary >= 0, <= 1;
var b293 binary >= 0, <= 1;
var b294 binary >= 0, <= 1;
var b295 binary >= 0, <= 1;
var b296 binary >= 0, <= 1;
var b297 binary >= 0, <= 1;
var b298 binary >= 0, <= 1;
var b299 binary >= 0, <= 1;
var b300 binary >= 0, <= 1;
var b301 binary >= 0, <= 1;
var b302 binary >= 0, <= 1;
var b303 binary >= 0, <= 1;
var b304 binary >= 0, <= 1;
var b305 binary >= 0, <= 1;
var b306 binary >= 0, <= 1;
var b307 binary >= 0, <= 1;
var b308 binary >= 0, <= 1;
var b309 binary >= 0, <= 1;
var b310 binary >= 0, <= 1;
var b311 binary >= 0, <= 1;
var b312 binary >= 0, <= 1;
var b313 binary >= 0, <= 1;
var b314 binary >= 0, <= 1;
var b315 binary >= 0, <= 1;
var b316 binary >= 0, <= 1;
var b317 binary >= 0, <= 1;
var b318 binary >= 0, <= 1;
var b319 binary >= 0, <= 1;
var b320 binary >= 0, <= 1;
var b321 binary >= 0, <= 1;
var b322 binary >= 0, <= 1;
var b323 binary >= 0, <= 1;
var b324 binary >= 0, <= 1;
var b325 binary >= 0, <= 1;
var b326 binary >= 0, <= 1;
var b327 binary >= 0, <= 1;
var b328 binary >= 0, <= 1;
var b329 binary >= 0, <= 1;
var b330 binary >= 0, <= 1;
var b331 binary >= 0, <= 1;
var b332 binary >= 0, <= 1;
var b333 binary >= 0, <= 1;
var b334 binary >= 0, <= 1;
var b335 binary >= 0, <= 1;
var b336 binary >= 0, <= 1;
var b337 binary >= 0, <= 1;
var b338 binary >= 0, <= 1;
var b339 binary >= 0, <= 1;
var b340 binary >= 0, <= 1;
var b341 binary >= 0, <= 1;
var b342 binary >= 0, <= 1;
var b343 binary >= 0, <= 1;
var b344 binary >= 0, <= 1;
var b345 binary >= 0, <= 1;
var b346 binary >= 0, <= 1;
var b347 binary >= 0, <= 1;
var b348 binary >= 0, <= 1;
var b349 binary >= 0, <= 1;
var b350 binary >= 0, <= 1;
var b351 binary >= 0, <= 1;
var b352 binary >= 0, <= 1;
var b353 binary >= 0, <= 1;
var b354 binary >= 0, <= 1;
var b355 binary >= 0, <= 1;
var b356 binary >= 0, <= 1;
var b357 binary >= 0, <= 1;
var b358 binary >= 0, <= 1;
var b359 binary >= 0, <= 1;
var b360 binary >= 0, <= 1;
var b361 binary >= 0, <= 1;
var b362 binary >= 0, <= 1;
var b363 binary >= 0, <= 1;
var b364 binary >= 0, <= 1;
var b365 binary >= 0, <= 1;
var b366 binary >= 0, <= 1;
var b367 binary >= 0, <= 1;
var b368 binary >= 0, <= 1;
var b369 binary >= 0, <= 1;
var b370 binary >= 0, <= 1;
var b371 binary >= 0, <= 1;
var b372 binary >= 0, <= 1;
var b373 binary >= 0, <= 1;
var b374 binary >= 0, <= 1;
var b375 binary >= 0, <= 1;
var b376 binary >= 0, <= 1;
var b377 binary >= 0, <= 1;
var b378 binary >= 0, <= 1;
var b379 binary >= 0, <= 1;
var b380 binary >= 0, <= 1;
var b381 binary >= 0, <= 1;
var b382 binary >= 0, <= 1;
var b383 binary >= 0, <= 1;
var b384 binary >= 0, <= 1;
var b385 binary >= 0, <= 1;
var b386 binary >= 0, <= 1;
var b387 binary >= 0, <= 1;
var b388 binary >= 0, <= 1;
var b389 binary >= 0, <= 1;
var b390 binary >= 0, <= 1;
var b391 binary >= 0, <= 1;
var b392 binary >= 0, <= 1;
var b393 binary >= 0, <= 1;
var b394 binary >= 0, <= 1;
var b395 binary >= 0, <= 1;
var b396 binary >= 0, <= 1;
var b397 binary >= 0, <= 1;
var b398 binary >= 0, <= 1;
var b399 binary >= 0, <= 1;
var b400 binary >= 0, <= 1;
var b401 binary >= 0, <= 1;
var b402 binary >= 0, <= 1;
var b403 binary >= 0, <= 1;
var b404 binary >= 0, <= 1;
var b405 binary >= 0, <= 1;
var b406 binary >= 0, <= 1;
var b407 binary >= 0, <= 1;
var b408 binary >= 0, <= 1;
var b409 binary >= 0, <= 1;
var b410 binary >= 0, <= 1;
var b411 binary >= 0, <= 1;
var b412 binary >= 0, <= 1;
var b413 binary >= 0, <= 1;
var b414 binary >= 0, <= 1;
var b415 binary >= 0, <= 1;
var b416 binary >= 0, <= 1;
var b417 binary >= 0, <= 1;
var b418 binary >= 0, <= 1;
var b419 binary >= 0, <= 1;
var b420 binary >= 0, <= 1;
var b421 binary >= 0, <= 1;
var b422 binary >= 0, <= 1;
var b423 binary >= 0, <= 1;
var b424 binary >= 0, <= 1;
var b425 binary >= 0, <= 1;
var b426 binary >= 0, <= 1;
var b427 binary >= 0, <= 1;
var b428 binary >= 0, <= 1;
var b429 binary >= 0, <= 1;
var b430 binary >= 0, <= 1;
var b431 binary >= 0, <= 1;
var b432 binary >= 0, <= 1;
var b433 binary >= 0, <= 1;
var b434 binary >= 0, <= 1;
var b435 binary >= 0, <= 1;
var b436 binary >= 0, <= 1;
var b437 binary >= 0, <= 1;
var b438 binary >= 0, <= 1;
var b439 binary >= 0, <= 1;
var b440 binary >= 0, <= 1;
var b441 binary >= 0, <= 1;
var b442 binary >= 0, <= 1;
var b443 binary >= 0, <= 1;
var b444 binary >= 0, <= 1;
var b445 binary >= 0, <= 1;
var b446 binary >= 0, <= 1;
var b447 binary >= 0, <= 1;
var b448 binary >= 0, <= 1;
var b449 binary >= 0, <= 1;
var b450 binary >= 0, <= 1;
var b451 binary >= 0, <= 1;
var b452 binary >= 0, <= 1;
var b453 binary >= 0, <= 1;
var b454 binary >= 0, <= 1;
var b455 binary >= 0, <= 1;
var b456 binary >= 0, <= 1;
var b457 binary >= 0, <= 1;
var b458 binary >= 0, <= 1;
var b459 binary >= 0, <= 1;
var b460 binary >= 0, <= 1;
var b461 binary >= 0, <= 1;
var b462 binary >= 0, <= 1;
var b463 binary >= 0, <= 1;
var b464 binary >= 0, <= 1;
var b465 binary >= 0, <= 1;
var b466 binary >= 0, <= 1;
var b467 binary >= 0, <= 1;
var b468 binary >= 0, <= 1;
var b469 binary >= 0, <= 1;
var b470 binary >= 0, <= 1;
var b471 binary >= 0, <= 1;
var b472 binary >= 0, <= 1;
var b473 binary >= 0, <= 1;
var b474 binary >= 0, <= 1;
var b475 binary >= 0, <= 1;
var b476 binary >= 0, <= 1;
var b477 binary >= 0, <= 1;
var b478 binary >= 0, <= 1;
var b479 binary >= 0, <= 1;
var b480 binary >= 0, <= 1;
var b481 binary >= 0, <= 1;
var b482 binary >= 0, <= 1;
var b483 binary >= 0, <= 1;
var b484 binary >= 0, <= 1;
var b485 binary >= 0, <= 1;
var b486 binary >= 0, <= 1;
var b487 binary >= 0, <= 1;
var b488 binary >= 0, <= 1;
var b489 binary >= 0, <= 1;
var b490 binary >= 0, <= 1;
var b491 binary >= 0, <= 1;
var b492 binary >= 0, <= 1;
var b493 binary >= 0, <= 1;
var b494 binary >= 0, <= 1;
var b495 binary >= 0, <= 1;
var b496 binary >= 0, <= 1;
var b497 binary >= 0, <= 1;
var b498 binary >= 0, <= 1;
var b499 binary >= 0, <= 1;
var b500 binary >= 0, <= 1;
var b501 binary >= 0, <= 1;
var b502 binary >= 0, <= 1;
var b503 binary >= 0, <= 1;
var b504 binary >= 0, <= 1;
var b505 binary >= 0, <= 1;
var b506 binary >= 0, <= 1;
var b507 binary >= 0, <= 1;
var b508 binary >= 0, <= 1;
var b509 binary >= 0, <= 1;
var b510 binary >= 0, <= 1;
var b511 binary >= 0, <= 1;
var b512 binary >= 0, <= 1;
var b513 binary >= 0, <= 1;
var b514 binary >= 0, <= 1;
var b515 binary >= 0, <= 1;
var b516 binary >= 0, <= 1;
var b517 binary >= 0, <= 1;
var b518 binary >= 0, <= 1;
var b519 binary >= 0, <= 1;
var b520 binary >= 0, <= 1;
var b521 binary >= 0, <= 1;
var b522 binary >= 0, <= 1;
var b523 binary >= 0, <= 1;
var b524 binary >= 0, <= 1;
var b525 binary >= 0, <= 1;
var b526 binary >= 0, <= 1;
var b527 binary >= 0, <= 1;
var b528 binary >= 0, <= 1;
var b529 binary >= 0, <= 1;
var b530 binary >= 0, <= 1;
var b531 binary >= 0, <= 1;
var b532 binary >= 0, <= 1;
var b533 binary >= 0, <= 1;
var b534 binary >= 0, <= 1;
var b535 binary >= 0, <= 1;
var b536 binary >= 0, <= 1;
var b537 binary >= 0, <= 1;
var b538 binary >= 0, <= 1;
var b539 binary >= 0, <= 1;
var b540 binary >= 0, <= 1;
var b541 binary >= 0, <= 1;
var b542 binary >= 0, <= 1;
var b543 binary >= 0, <= 1;
var b544 binary >= 0, <= 1;
var b545 binary >= 0, <= 1;
var b546 binary >= 0, <= 1;
var b547 binary >= 0, <= 1;
var b548 binary >= 0, <= 1;
var b549 binary >= 0, <= 1;
var b550 binary >= 0, <= 1;
var b551 binary >= 0, <= 1;
var b552 binary >= 0, <= 1;
var b553 binary >= 0, <= 1;
var b554 binary >= 0, <= 1;
var b555 binary >= 0, <= 1;
var b556 binary >= 0, <= 1;
var b557 binary >= 0, <= 1;
var b558 binary >= 0, <= 1;
var b559 binary >= 0, <= 1;
var b560 binary >= 0, <= 1;
var b561 binary >= 0, <= 1;
var b562 binary >= 0, <= 1;
var b563 binary >= 0, <= 1;
var b564 binary >= 0, <= 1;
var b565 binary >= 0, <= 1;
var b566 binary >= 0, <= 1;
var b567 binary >= 0, <= 1;
var b568 binary >= 0, <= 1;
var b569 binary >= 0, <= 1;
var b570 binary >= 0, <= 1;
var b571 binary >= 0, <= 1;
var b572 binary >= 0, <= 1;
var b573 binary >= 0, <= 1;
var b574 binary >= 0, <= 1;
var b575 binary >= 0, <= 1;
var b576 binary >= 0, <= 1;
var b577 binary >= 0, <= 1;
var b578 binary >= 0, <= 1;
var b579 binary >= 0, <= 1;
var b580 binary >= 0, <= 1;
var b581 binary >= 0, <= 1;
var b582 binary >= 0, <= 1;
var b583 binary >= 0, <= 1;
var b584 binary >= 0, <= 1;
var b585 binary >= 0, <= 1;
var b586 binary >= 0, <= 1;
var b587 binary >= 0, <= 1;
var b588 binary >= 0, <= 1;
var b589 binary >= 0, <= 1;
var b590 binary >= 0, <= 1;
var b591 binary >= 0, <= 1;
var b592 binary >= 0, <= 1;
var b593 binary >= 0, <= 1;
var b594 binary >= 0, <= 1;
var b595 binary >= 0, <= 1;
var b596 binary >= 0, <= 1;
var b597 binary >= 0, <= 1;
var b598 binary >= 0, <= 1;
var b599 binary >= 0, <= 1;
var b600 binary >= 0, <= 1;
var b601 binary >= 0, <= 1;
var b602 binary >= 0, <= 1;
var b603 binary >= 0, <= 1;
var b604 binary >= 0, <= 1;
var b605 binary >= 0, <= 1;
var b606 binary >= 0, <= 1;
var b607 binary >= 0, <= 1;
var b608 binary >= 0, <= 1;
var b609 binary >= 0, <= 1;
var b610 binary >= 0, <= 1;
var b611 binary >= 0, <= 1;
var b612 binary >= 0, <= 1;
var b613 binary >= 0, <= 1;
var b614 binary >= 0, <= 1;
var b615 binary >= 0, <= 1;
var b616 binary >= 0, <= 1;
var b617 binary >= 0, <= 1;
var b618 binary >= 0, <= 1;
var b619 binary >= 0, <= 1;
var b620 binary >= 0, <= 1;
var b621 binary >= 0, <= 1;
var b622 binary >= 0, <= 1;
var b623 binary >= 0, <= 1;
var b624 binary >= 0, <= 1;
var b625 binary >= 0, <= 1;
var b626 binary >= 0, <= 1;

minimize obj: 3864*b2*b3 + 17480*b2*b4 + 15088*b2*b5 + 10304*b2*b6 + 7544*b2*b7
     + 1104*b2*b8 + 4600*b2*b9 + 1840*b2*b10 + 736*b2*b11 + 11592*b2*b12 + 1104
    *b2*b13 + 8096*b2*b14 + 7360*b2*b15 + 13800*b2*b16 + 14536*b2*b17 + 16376*
    b2*b18 + 6440*b2*b19 + 1656*b2*b20 + 184*b2*b21 + 15640*b2*b22 + 15456*b2*
    b23 + 2208*b2*b24 + 2898*b2*b25 + 13110*b2*b26 + 11316*b2*b27 + 7728*b2*b28
     + 5658*b2*b29 + 828*b2*b30 + 3450*b2*b31 + 1380*b2*b32 + 552*b2*b33 + 8694
    *b2*b34 + 828*b2*b35 + 6072*b2*b36 + 5520*b2*b37 + 10350*b2*b38 + 10902*b2*
    b39 + 12282*b2*b40 + 4830*b2*b41 + 1242*b2*b42 + 138*b2*b43 + 11730*b2*b44
     + 11592*b2*b45 + 1656*b2*b46 + 2604*b2*b47 + 11780*b2*b48 + 10168*b2*b49
     + 6944*b2*b50 + 5084*b2*b51 + 744*b2*b52 + 3100*b2*b53 + 1240*b2*b54 + 496
    *b2*b55 + 7812*b2*b56 + 744*b2*b57 + 5456*b2*b58 + 4960*b2*b59 + 9300*b2*
    b60 + 9796*b2*b61 + 11036*b2*b62 + 4340*b2*b63 + 1116*b2*b64 + 124*b2*b65
     + 10540*b2*b66 + 10416*b2*b67 + 1488*b2*b68 + 1344*b2*b69 + 6080*b2*b70 + 
    5248*b2*b71 + 3584*b2*b72 + 2624*b2*b73 + 384*b2*b74 + 1600*b2*b75 + 640*b2
    *b76 + 256*b2*b77 + 4032*b2*b78 + 384*b2*b79 + 2816*b2*b80 + 2560*b2*b81 + 
    4800*b2*b82 + 5056*b2*b83 + 5696*b2*b84 + 2240*b2*b85 + 576*b2*b86 + 64*b2*
    b87 + 5440*b2*b88 + 5376*b2*b89 + 768*b2*b90 + 4074*b2*b91 + 18430*b2*b92
     + 15908*b2*b93 + 10864*b2*b94 + 7954*b2*b95 + 1164*b2*b96 + 4850*b2*b97 + 
    1940*b2*b98 + 776*b2*b99 + 12222*b2*b100 + 1164*b2*b101 + 8536*b2*b102 + 
    7760*b2*b103 + 14550*b2*b104 + 15326*b2*b105 + 17266*b2*b106 + 6790*b2*b107
     + 1746*b2*b108 + 194*b2*b109 + 16490*b2*b110 + 16296*b2*b111 + 2328*b2*
    b112 + 210*b2*b113 + 950*b2*b114 + 820*b2*b115 + 560*b2*b116 + 410*b2*b117
     + 60*b2*b118 + 250*b2*b119 + 100*b2*b120 + 40*b2*b121 + 630*b2*b122 + 60*
    b2*b123 + 440*b2*b124 + 400*b2*b125 + 750*b2*b126 + 790*b2*b127 + 890*b2*
    b128 + 350*b2*b129 + 90*b2*b130 + 10*b2*b131 + 850*b2*b132 + 840*b2*b133 + 
    120*b2*b134 + 1638*b2*b135 + 7410*b2*b136 + 6396*b2*b137 + 4368*b2*b138 + 
    3198*b2*b139 + 468*b2*b140 + 1950*b2*b141 + 780*b2*b142 + 312*b2*b143 + 
    4914*b2*b144 + 468*b2*b145 + 3432*b2*b146 + 3120*b2*b147 + 5850*b2*b148 + 
    6162*b2*b149 + 6942*b2*b150 + 2730*b2*b151 + 702*b2*b152 + 78*b2*b153 + 
    6630*b2*b154 + 6552*b2*b155 + 936*b2*b156 + 2100*b2*b157 + 9500*b2*b158 + 
    8200*b2*b159 + 5600*b2*b160 + 4100*b2*b161 + 600*b2*b162 + 2500*b2*b163 + 
    1000*b2*b164 + 400*b2*b165 + 6300*b2*b166 + 600*b2*b167 + 4400*b2*b168 + 
    4000*b2*b169 + 7500*b2*b170 + 7900*b2*b171 + 8900*b2*b172 + 3500*b2*b173 + 
    900*b2*b174 + 100*b2*b175 + 8500*b2*b176 + 8400*b2*b177 + 1200*b2*b178 + 
    3444*b2*b179 + 15580*b2*b180 + 13448*b2*b181 + 9184*b2*b182 + 6724*b2*b183
     + 984*b2*b184 + 4100*b2*b185 + 1640*b2*b186 + 656*b2*b187 + 10332*b2*b188
     + 984*b2*b189 + 7216*b2*b190 + 6560*b2*b191 + 12300*b2*b192 + 12956*b2*
    b193 + 14596*b2*b194 + 5740*b2*b195 + 1476*b2*b196 + 164*b2*b197 + 13940*b2
    *b198 + 13776*b2*b199 + 1968*b2*b200 + 3906*b2*b201 + 17670*b2*b202 + 15252
    *b2*b203 + 10416*b2*b204 + 7626*b2*b205 + 1116*b2*b206 + 4650*b2*b207 + 
    1860*b2*b208 + 744*b2*b209 + 11718*b2*b210 + 1116*b2*b211 + 8184*b2*b212 + 
    7440*b2*b213 + 13950*b2*b214 + 14694*b2*b215 + 16554*b2*b216 + 6510*b2*b217
     + 1674*b2*b218 + 186*b2*b219 + 15810*b2*b220 + 15624*b2*b221 + 2232*b2*
    b222 + 2982*b2*b223 + 13490*b2*b224 + 11644*b2*b225 + 7952*b2*b226 + 5822*
    b2*b227 + 852*b2*b228 + 3550*b2*b229 + 1420*b2*b230 + 568*b2*b231 + 8946*b2
    *b232 + 852*b2*b233 + 6248*b2*b234 + 5680*b2*b235 + 10650*b2*b236 + 11218*
    b2*b237 + 12638*b2*b238 + 4970*b2*b239 + 1278*b2*b240 + 142*b2*b241 + 12070
    *b2*b242 + 11928*b2*b243 + 1704*b2*b244 + 1470*b2*b245 + 6650*b2*b246 + 
    5740*b2*b247 + 3920*b2*b248 + 2870*b2*b249 + 420*b2*b250 + 1750*b2*b251 + 
    700*b2*b252 + 280*b2*b253 + 4410*b2*b254 + 420*b2*b255 + 3080*b2*b256 + 
    2800*b2*b257 + 5250*b2*b258 + 5530*b2*b259 + 6230*b2*b260 + 2450*b2*b261 + 
    630*b2*b262 + 70*b2*b263 + 5950*b2*b264 + 5880*b2*b265 + 840*b2*b266 + 588*
    b2*b267 + 2660*b2*b268 + 2296*b2*b269 + 1568*b2*b270 + 1148*b2*b271 + 168*
    b2*b272 + 700*b2*b273 + 280*b2*b274 + 112*b2*b275 + 1764*b2*b276 + 168*b2*
    b277 + 1232*b2*b278 + 1120*b2*b279 + 2100*b2*b280 + 2212*b2*b281 + 2492*b2*
    b282 + 980*b2*b283 + 252*b2*b284 + 28*b2*b285 + 2380*b2*b286 + 2352*b2*b287
     + 336*b2*b288 + 840*b2*b289 + 3800*b2*b290 + 3280*b2*b291 + 2240*b2*b292
     + 1640*b2*b293 + 240*b2*b294 + 1000*b2*b295 + 400*b2*b296 + 160*b2*b297 + 
    2520*b2*b298 + 240*b2*b299 + 1760*b2*b300 + 1600*b2*b301 + 3000*b2*b302 + 
    3160*b2*b303 + 3560*b2*b304 + 1400*b2*b305 + 360*b2*b306 + 40*b2*b307 + 
    3400*b2*b308 + 3360*b2*b309 + 480*b2*b310 + 3108*b2*b311 + 14060*b2*b312 + 
    12136*b2*b313 + 8288*b2*b314 + 6068*b2*b315 + 888*b2*b316 + 3700*b2*b317 + 
    1480*b2*b318 + 592*b2*b319 + 9324*b2*b320 + 888*b2*b321 + 6512*b2*b322 + 
    5920*b2*b323 + 11100*b2*b324 + 11692*b2*b325 + 13172*b2*b326 + 5180*b2*b327
     + 1332*b2*b328 + 148*b2*b329 + 12580*b2*b330 + 12432*b2*b331 + 1776*b2*
    b332 + 2058*b2*b333 + 9310*b2*b334 + 8036*b2*b335 + 5488*b2*b336 + 4018*b2*
    b337 + 588*b2*b338 + 2450*b2*b339 + 980*b2*b340 + 392*b2*b341 + 6174*b2*
    b342 + 588*b2*b343 + 4312*b2*b344 + 3920*b2*b345 + 7350*b2*b346 + 7742*b2*
    b347 + 8722*b2*b348 + 3430*b2*b349 + 882*b2*b350 + 98*b2*b351 + 8330*b2*
    b352 + 8232*b2*b353 + 1176*b2*b354 + 2100*b2*b355 + 9500*b2*b356 + 8200*b2*
    b357 + 5600*b2*b358 + 4100*b2*b359 + 600*b2*b360 + 2500*b2*b361 + 1000*b2*
    b362 + 400*b2*b363 + 6300*b2*b364 + 600*b2*b365 + 4400*b2*b366 + 4000*b2*
    b367 + 7500*b2*b368 + 7900*b2*b369 + 8900*b2*b370 + 3500*b2*b371 + 900*b2*
    b372 + 100*b2*b373 + 8500*b2*b374 + 8400*b2*b375 + 1200*b2*b376 + 1554*b2*
    b377 + 7030*b2*b378 + 6068*b2*b379 + 4144*b2*b380 + 3034*b2*b381 + 444*b2*
    b382 + 1850*b2*b383 + 740*b2*b384 + 296*b2*b385 + 4662*b2*b386 + 444*b2*
    b387 + 3256*b2*b388 + 2960*b2*b389 + 5550*b2*b390 + 5846*b2*b391 + 6586*b2*
    b392 + 2590*b2*b393 + 666*b2*b394 + 74*b2*b395 + 6290*b2*b396 + 6216*b2*
    b397 + 888*b2*b398 + 3318*b2*b399 + 15010*b2*b400 + 12956*b2*b401 + 8848*b2
    *b402 + 6478*b2*b403 + 948*b2*b404 + 3950*b2*b405 + 1580*b2*b406 + 632*b2*
    b407 + 9954*b2*b408 + 948*b2*b409 + 6952*b2*b410 + 6320*b2*b411 + 11850*b2*
    b412 + 12482*b2*b413 + 14062*b2*b414 + 5530*b2*b415 + 1422*b2*b416 + 158*b2
    *b417 + 13430*b2*b418 + 13272*b2*b419 + 1896*b2*b420 + 798*b2*b421 + 3610*
    b2*b422 + 3116*b2*b423 + 2128*b2*b424 + 1558*b2*b425 + 228*b2*b426 + 950*b2
    *b427 + 380*b2*b428 + 152*b2*b429 + 2394*b2*b430 + 228*b2*b431 + 1672*b2*
    b432 + 1520*b2*b433 + 2850*b2*b434 + 3002*b2*b435 + 3382*b2*b436 + 1330*b2*
    b437 + 342*b2*b438 + 38*b2*b439 + 3230*b2*b440 + 3192*b2*b441 + 456*b2*b442
     + 2142*b2*b443 + 9690*b2*b444 + 8364*b2*b445 + 5712*b2*b446 + 4182*b2*b447
     + 612*b2*b448 + 2550*b2*b449 + 1020*b2*b450 + 408*b2*b451 + 6426*b2*b452
     + 612*b2*b453 + 4488*b2*b454 + 4080*b2*b455 + 7650*b2*b456 + 8058*b2*b457
     + 9078*b2*b458 + 3570*b2*b459 + 918*b2*b460 + 102*b2*b461 + 8670*b2*b462
     + 8568*b2*b463 + 1224*b2*b464 + 2940*b2*b465 + 13300*b2*b466 + 11480*b2*
    b467 + 7840*b2*b468 + 5740*b2*b469 + 840*b2*b470 + 3500*b2*b471 + 1400*b2*
    b472 + 560*b2*b473 + 8820*b2*b474 + 840*b2*b475 + 6160*b2*b476 + 5600*b2*
    b477 + 10500*b2*b478 + 11060*b2*b479 + 12460*b2*b480 + 4900*b2*b481 + 1260*
    b2*b482 + 140*b2*b483 + 11900*b2*b484 + 11760*b2*b485 + 1680*b2*b486 + 1764
    *b2*b487 + 7980*b2*b488 + 6888*b2*b489 + 4704*b2*b490 + 3444*b2*b491 + 504*
    b2*b492 + 2100*b2*b493 + 840*b2*b494 + 336*b2*b495 + 5292*b2*b496 + 504*b2*
    b497 + 3696*b2*b498 + 3360*b2*b499 + 6300*b2*b500 + 6636*b2*b501 + 7476*b2*
    b502 + 2940*b2*b503 + 756*b2*b504 + 84*b2*b505 + 7140*b2*b506 + 7056*b2*
    b507 + 1008*b2*b508 + 1092*b2*b509 + 4940*b2*b510 + 4264*b2*b511 + 2912*b2*
    b512 + 2132*b2*b513 + 312*b2*b514 + 1300*b2*b515 + 520*b2*b516 + 208*b2*
    b517 + 3276*b2*b518 + 312*b2*b519 + 2288*b2*b520 + 2080*b2*b521 + 3900*b2*
    b522 + 4108*b2*b523 + 4628*b2*b524 + 1820*b2*b525 + 468*b2*b526 + 52*b2*
    b527 + 4420*b2*b528 + 4368*b2*b529 + 624*b2*b530 + 4108*b3*b26 + 14378*b3*
    b27 + 1738*b3*b28 + 5530*b3*b29 + 12956*b3*b30 + 4108*b3*b31 + 10902*b3*b32
     + 8848*b3*b33 + 13588*b3*b34 + 7110*b3*b35 + 14378*b3*b36 + 9322*b3*b37 + 
    2844*b3*b38 + 12008*b3*b39 + 2844*b3*b40 + 9006*b3*b41 + 5688*b3*b42 + 9638
    *b3*b43 + 5688*b3*b44 + 3318*b3*b45 + 11218*b3*b46 + 5096*b3*b48 + 17836*b3
    *b49 + 2156*b3*b50 + 6860*b3*b51 + 16072*b3*b52 + 5096*b3*b53 + 13524*b3*
    b54 + 10976*b3*b55 + 16856*b3*b56 + 8820*b3*b57 + 17836*b3*b58 + 11564*b3*
    b59 + 3528*b3*b60 + 14896*b3*b61 + 3528*b3*b62 + 11172*b3*b63 + 7056*b3*b64
     + 11956*b3*b65 + 7056*b3*b66 + 4116*b3*b67 + 13916*b3*b68 + 3120*b3*b70 + 
    10920*b3*b71 + 1320*b3*b72 + 4200*b3*b73 + 9840*b3*b74 + 3120*b3*b75 + 8280
    *b3*b76 + 6720*b3*b77 + 10320*b3*b78 + 5400*b3*b79 + 10920*b3*b80 + 7080*b3
    *b81 + 2160*b3*b82 + 9120*b3*b83 + 2160*b3*b84 + 6840*b3*b85 + 4320*b3*b86
     + 7320*b3*b87 + 4320*b3*b88 + 2520*b3*b89 + 8520*b3*b90 + 1820*b3*b92 + 
    6370*b3*b93 + 770*b3*b94 + 2450*b3*b95 + 5740*b3*b96 + 1820*b3*b97 + 4830*
    b3*b98 + 3920*b3*b99 + 6020*b3*b100 + 3150*b3*b101 + 6370*b3*b102 + 4130*b3
    *b103 + 1260*b3*b104 + 5320*b3*b105 + 1260*b3*b106 + 3990*b3*b107 + 2520*b3
    *b108 + 4270*b3*b109 + 2520*b3*b110 + 1470*b3*b111 + 4970*b3*b112 + 468*b3*
    b114 + 1638*b3*b115 + 198*b3*b116 + 630*b3*b117 + 1476*b3*b118 + 468*b3*
    b119 + 1242*b3*b120 + 1008*b3*b121 + 1548*b3*b122 + 810*b3*b123 + 1638*b3*
    b124 + 1062*b3*b125 + 324*b3*b126 + 1368*b3*b127 + 324*b3*b128 + 1026*b3*
    b129 + 648*b3*b130 + 1098*b3*b131 + 648*b3*b132 + 378*b3*b133 + 1278*b3*
    b134 + 4992*b3*b136 + 17472*b3*b137 + 2112*b3*b138 + 6720*b3*b139 + 15744*
    b3*b140 + 4992*b3*b141 + 13248*b3*b142 + 10752*b3*b143 + 16512*b3*b144 + 
    8640*b3*b145 + 17472*b3*b146 + 11328*b3*b147 + 3456*b3*b148 + 14592*b3*b149
     + 3456*b3*b150 + 10944*b3*b151 + 6912*b3*b152 + 11712*b3*b153 + 6912*b3*
    b154 + 4032*b3*b155 + 13632*b3*b156 + 3640*b3*b158 + 12740*b3*b159 + 1540*
    b3*b160 + 4900*b3*b161 + 11480*b3*b162 + 3640*b3*b163 + 9660*b3*b164 + 7840
    *b3*b165 + 12040*b3*b166 + 6300*b3*b167 + 12740*b3*b168 + 8260*b3*b169 + 
    2520*b3*b170 + 10640*b3*b171 + 2520*b3*b172 + 7980*b3*b173 + 5040*b3*b174
     + 8540*b3*b175 + 5040*b3*b176 + 2940*b3*b177 + 9940*b3*b178 + 1092*b3*b180
     + 3822*b3*b181 + 462*b3*b182 + 1470*b3*b183 + 3444*b3*b184 + 1092*b3*b185
     + 2898*b3*b186 + 2352*b3*b187 + 3612*b3*b188 + 1890*b3*b189 + 3822*b3*b190
     + 2478*b3*b191 + 756*b3*b192 + 3192*b3*b193 + 756*b3*b194 + 2394*b3*b195
     + 1512*b3*b196 + 2562*b3*b197 + 1512*b3*b198 + 882*b3*b199 + 2982*b3*b200
     + 1924*b3*b202 + 6734*b3*b203 + 814*b3*b204 + 2590*b3*b205 + 6068*b3*b206
     + 1924*b3*b207 + 5106*b3*b208 + 4144*b3*b209 + 6364*b3*b210 + 3330*b3*b211
     + 6734*b3*b212 + 4366*b3*b213 + 1332*b3*b214 + 5624*b3*b215 + 1332*b3*b216
     + 4218*b3*b217 + 2664*b3*b218 + 4514*b3*b219 + 2664*b3*b220 + 1554*b3*b221
     + 5254*b3*b222 + 1924*b3*b224 + 6734*b3*b225 + 814*b3*b226 + 2590*b3*b227
     + 6068*b3*b228 + 1924*b3*b229 + 5106*b3*b230 + 4144*b3*b231 + 6364*b3*b232
     + 3330*b3*b233 + 6734*b3*b234 + 4366*b3*b235 + 1332*b3*b236 + 5624*b3*b237
     + 1332*b3*b238 + 4218*b3*b239 + 2664*b3*b240 + 4514*b3*b241 + 2664*b3*b242
     + 1554*b3*b243 + 5254*b3*b244 + 3484*b3*b246 + 12194*b3*b247 + 1474*b3*
    b248 + 4690*b3*b249 + 10988*b3*b250 + 3484*b3*b251 + 9246*b3*b252 + 7504*b3
    *b253 + 11524*b3*b254 + 6030*b3*b255 + 12194*b3*b256 + 7906*b3*b257 + 2412*
    b3*b258 + 10184*b3*b259 + 2412*b3*b260 + 7638*b3*b261 + 4824*b3*b262 + 8174
    *b3*b263 + 4824*b3*b264 + 2814*b3*b265 + 9514*b3*b266 + 4836*b3*b268 + 
    16926*b3*b269 + 2046*b3*b270 + 6510*b3*b271 + 15252*b3*b272 + 4836*b3*b273
     + 12834*b3*b274 + 10416*b3*b275 + 15996*b3*b276 + 8370*b3*b277 + 16926*b3*
    b278 + 10974*b3*b279 + 3348*b3*b280 + 14136*b3*b281 + 3348*b3*b282 + 10602*
    b3*b283 + 6696*b3*b284 + 11346*b3*b285 + 6696*b3*b286 + 3906*b3*b287 + 
    13206*b3*b288 + 4836*b3*b290 + 16926*b3*b291 + 2046*b3*b292 + 6510*b3*b293
     + 15252*b3*b294 + 4836*b3*b295 + 12834*b3*b296 + 10416*b3*b297 + 15996*b3*
    b298 + 8370*b3*b299 + 16926*b3*b300 + 10974*b3*b301 + 3348*b3*b302 + 14136*
    b3*b303 + 3348*b3*b304 + 10602*b3*b305 + 6696*b3*b306 + 11346*b3*b307 + 
    6696*b3*b308 + 3906*b3*b309 + 13206*b3*b310 + 2028*b3*b312 + 7098*b3*b313
     + 858*b3*b314 + 2730*b3*b315 + 6396*b3*b316 + 2028*b3*b317 + 5382*b3*b318
     + 4368*b3*b319 + 6708*b3*b320 + 3510*b3*b321 + 7098*b3*b322 + 4602*b3*b323
     + 1404*b3*b324 + 5928*b3*b325 + 1404*b3*b326 + 4446*b3*b327 + 2808*b3*b328
     + 4758*b3*b329 + 2808*b3*b330 + 1638*b3*b331 + 5538*b3*b332 + 104*b3*b334
     + 364*b3*b335 + 44*b3*b336 + 140*b3*b337 + 328*b3*b338 + 104*b3*b339 + 276
    *b3*b340 + 224*b3*b341 + 344*b3*b342 + 180*b3*b343 + 364*b3*b344 + 236*b3*
    b345 + 72*b3*b346 + 304*b3*b347 + 72*b3*b348 + 228*b3*b349 + 144*b3*b350 + 
    244*b3*b351 + 144*b3*b352 + 84*b3*b353 + 284*b3*b354 + 2704*b3*b356 + 9464*
    b3*b357 + 1144*b3*b358 + 3640*b3*b359 + 8528*b3*b360 + 2704*b3*b361 + 7176*
    b3*b362 + 5824*b3*b363 + 8944*b3*b364 + 4680*b3*b365 + 9464*b3*b366 + 6136*
    b3*b367 + 1872*b3*b368 + 7904*b3*b369 + 1872*b3*b370 + 5928*b3*b371 + 3744*
    b3*b372 + 6344*b3*b373 + 3744*b3*b374 + 2184*b3*b375 + 7384*b3*b376 + 1352*
    b3*b378 + 4732*b3*b379 + 572*b3*b380 + 1820*b3*b381 + 4264*b3*b382 + 1352*
    b3*b383 + 3588*b3*b384 + 2912*b3*b385 + 4472*b3*b386 + 2340*b3*b387 + 4732*
    b3*b388 + 3068*b3*b389 + 936*b3*b390 + 3952*b3*b391 + 936*b3*b392 + 2964*b3
    *b393 + 1872*b3*b394 + 3172*b3*b395 + 1872*b3*b396 + 1092*b3*b397 + 3692*b3
    *b398 + 4680*b3*b400 + 16380*b3*b401 + 1980*b3*b402 + 6300*b3*b403 + 14760*
    b3*b404 + 4680*b3*b405 + 12420*b3*b406 + 10080*b3*b407 + 15480*b3*b408 + 
    8100*b3*b409 + 16380*b3*b410 + 10620*b3*b411 + 3240*b3*b412 + 13680*b3*b413
     + 3240*b3*b414 + 10260*b3*b415 + 6480*b3*b416 + 10980*b3*b417 + 6480*b3*
    b418 + 3780*b3*b419 + 12780*b3*b420 + 1352*b3*b422 + 4732*b3*b423 + 572*b3*
    b424 + 1820*b3*b425 + 4264*b3*b426 + 1352*b3*b427 + 3588*b3*b428 + 2912*b3*
    b429 + 4472*b3*b430 + 2340*b3*b431 + 4732*b3*b432 + 3068*b3*b433 + 936*b3*
    b434 + 3952*b3*b435 + 936*b3*b436 + 2964*b3*b437 + 1872*b3*b438 + 3172*b3*
    b439 + 1872*b3*b440 + 1092*b3*b441 + 3692*b3*b442 + 52*b3*b444 + 182*b3*
    b445 + 22*b3*b446 + 70*b3*b447 + 164*b3*b448 + 52*b3*b449 + 138*b3*b450 + 
    112*b3*b451 + 172*b3*b452 + 90*b3*b453 + 182*b3*b454 + 118*b3*b455 + 36*b3*
    b456 + 152*b3*b457 + 36*b3*b458 + 114*b3*b459 + 72*b3*b460 + 122*b3*b461 + 
    72*b3*b462 + 42*b3*b463 + 142*b3*b464 + 3536*b3*b466 + 12376*b3*b467 + 1496
    *b3*b468 + 4760*b3*b469 + 11152*b3*b470 + 3536*b3*b471 + 9384*b3*b472 + 
    7616*b3*b473 + 11696*b3*b474 + 6120*b3*b475 + 12376*b3*b476 + 8024*b3*b477
     + 2448*b3*b478 + 10336*b3*b479 + 2448*b3*b480 + 7752*b3*b481 + 4896*b3*
    b482 + 8296*b3*b483 + 4896*b3*b484 + 2856*b3*b485 + 9656*b3*b486 + 4836*b3*
    b488 + 16926*b3*b489 + 2046*b3*b490 + 6510*b3*b491 + 15252*b3*b492 + 4836*
    b3*b493 + 12834*b3*b494 + 10416*b3*b495 + 15996*b3*b496 + 8370*b3*b497 + 
    16926*b3*b498 + 10974*b3*b499 + 3348*b3*b500 + 14136*b3*b501 + 3348*b3*b502
     + 10602*b3*b503 + 6696*b3*b504 + 11346*b3*b505 + 6696*b3*b506 + 3906*b3*
    b507 + 13206*b3*b508 + 364*b3*b510 + 1274*b3*b511 + 154*b3*b512 + 490*b3*
    b513 + 1148*b3*b514 + 364*b3*b515 + 966*b3*b516 + 784*b3*b517 + 1204*b3*
    b518 + 630*b3*b519 + 1274*b3*b520 + 826*b3*b521 + 252*b3*b522 + 1064*b3*
    b523 + 252*b3*b524 + 798*b3*b525 + 504*b3*b526 + 854*b3*b527 + 504*b3*b528
     + 294*b3*b529 + 994*b3*b530 + 3318*b3*b531 + 6162*b3*b532 + 1738*b3*b533
     + 4116*b3*b534 + 7644*b3*b535 + 2156*b3*b536 + 2520*b3*b537 + 4680*b3*b538
     + 1320*b3*b539 + 1470*b3*b540 + 2730*b3*b541 + 770*b3*b542 + 378*b3*b543
     + 702*b3*b544 + 198*b3*b545 + 4032*b3*b546 + 7488*b3*b547 + 2112*b3*b548
     + 2940*b3*b549 + 5460*b3*b550 + 1540*b3*b551 + 882*b3*b552 + 1638*b3*b553
     + 462*b3*b554 + 1554*b3*b555 + 2886*b3*b556 + 814*b3*b557 + 1554*b3*b558
     + 2886*b3*b559 + 814*b3*b560 + 2814*b3*b561 + 5226*b3*b562 + 1474*b3*b563
     + 3906*b3*b564 + 7254*b3*b565 + 2046*b3*b566 + 3906*b3*b567 + 7254*b3*b568
     + 2046*b3*b569 + 1638*b3*b570 + 3042*b3*b571 + 858*b3*b572 + 84*b3*b573 + 
    156*b3*b574 + 44*b3*b575 + 2184*b3*b576 + 4056*b3*b577 + 1144*b3*b578 + 
    1092*b3*b579 + 2028*b3*b580 + 572*b3*b581 + 3780*b3*b582 + 7020*b3*b583 + 
    1980*b3*b584 + 1092*b3*b585 + 2028*b3*b586 + 572*b3*b587 + 42*b3*b588 + 78*
    b3*b589 + 22*b3*b590 + 2856*b3*b591 + 5304*b3*b592 + 1496*b3*b593 + 3906*b3
    *b594 + 7254*b3*b595 + 2046*b3*b596 + 294*b3*b597 + 546*b3*b598 + 154*b3*
    b599 + 4784*b3*b600 + 16744*b3*b601 + 2024*b3*b602 + 6440*b3*b603 + 15088*
    b3*b604 + 4784*b3*b605 + 12696*b3*b606 + 10304*b3*b607 + 15824*b3*b608 + 
    8280*b3*b609 + 16744*b3*b610 + 10856*b3*b611 + 3312*b3*b612 + 13984*b3*b613
     + 7176*b3*b614 + 3312*b3*b615 + 10488*b3*b616 + 6624*b3*b617 + 11224*b3*
    b618 + 6624*b3*b619 + 3864*b3*b620 + 13064*b3*b621 + 2024*b3*b622 + 4108*b4
    *b25 + 4582*b4*b27 + 12956*b4*b28 + 12956*b4*b29 + 948*b4*b30 + 11218*b4*
    b31 + 1264*b4*b32 + 12166*b4*b33 + 11692*b4*b34 + 4740*b4*b35 + 14062*b4*
    b36 + 12008*b4*b37 + 12008*b4*b38 + 6320*b4*b39 + 8848*b4*b40 + 158*b4*b41
     + 7900*b4*b42 + 632*b4*b43 + 5688*b4*b44 + 4266*b4*b45 + 13430*b4*b46 + 
    5096*b4*b47 + 5684*b4*b49 + 16072*b4*b50 + 16072*b4*b51 + 1176*b4*b52 + 
    13916*b4*b53 + 1568*b4*b54 + 15092*b4*b55 + 14504*b4*b56 + 5880*b4*b57 + 
    17444*b4*b58 + 14896*b4*b59 + 14896*b4*b60 + 7840*b4*b61 + 10976*b4*b62 + 
    196*b4*b63 + 9800*b4*b64 + 784*b4*b65 + 7056*b4*b66 + 5292*b4*b67 + 16660*
    b4*b68 + 3120*b4*b69 + 3480*b4*b71 + 9840*b4*b72 + 9840*b4*b73 + 720*b4*b74
     + 8520*b4*b75 + 960*b4*b76 + 9240*b4*b77 + 8880*b4*b78 + 3600*b4*b79 + 
    10680*b4*b80 + 9120*b4*b81 + 9120*b4*b82 + 4800*b4*b83 + 6720*b4*b84 + 120*
    b4*b85 + 6000*b4*b86 + 480*b4*b87 + 4320*b4*b88 + 3240*b4*b89 + 10200*b4*
    b90 + 1820*b4*b91 + 2030*b4*b93 + 5740*b4*b94 + 5740*b4*b95 + 420*b4*b96 + 
    4970*b4*b97 + 560*b4*b98 + 5390*b4*b99 + 5180*b4*b100 + 2100*b4*b101 + 6230
    *b4*b102 + 5320*b4*b103 + 5320*b4*b104 + 2800*b4*b105 + 3920*b4*b106 + 70*
    b4*b107 + 3500*b4*b108 + 280*b4*b109 + 2520*b4*b110 + 1890*b4*b111 + 5950*
    b4*b112 + 468*b4*b113 + 522*b4*b115 + 1476*b4*b116 + 1476*b4*b117 + 108*b4*
    b118 + 1278*b4*b119 + 144*b4*b120 + 1386*b4*b121 + 1332*b4*b122 + 540*b4*
    b123 + 1602*b4*b124 + 1368*b4*b125 + 1368*b4*b126 + 720*b4*b127 + 1008*b4*
    b128 + 18*b4*b129 + 900*b4*b130 + 72*b4*b131 + 648*b4*b132 + 486*b4*b133 + 
    1530*b4*b134 + 4992*b4*b135 + 5568*b4*b137 + 15744*b4*b138 + 15744*b4*b139
     + 1152*b4*b140 + 13632*b4*b141 + 1536*b4*b142 + 14784*b4*b143 + 14208*b4*
    b144 + 5760*b4*b145 + 17088*b4*b146 + 14592*b4*b147 + 14592*b4*b148 + 7680*
    b4*b149 + 10752*b4*b150 + 192*b4*b151 + 9600*b4*b152 + 768*b4*b153 + 6912*
    b4*b154 + 5184*b4*b155 + 16320*b4*b156 + 3640*b4*b157 + 4060*b4*b159 + 
    11480*b4*b160 + 11480*b4*b161 + 840*b4*b162 + 9940*b4*b163 + 1120*b4*b164
     + 10780*b4*b165 + 10360*b4*b166 + 4200*b4*b167 + 12460*b4*b168 + 10640*b4*
    b169 + 10640*b4*b170 + 5600*b4*b171 + 7840*b4*b172 + 140*b4*b173 + 7000*b4*
    b174 + 560*b4*b175 + 5040*b4*b176 + 3780*b4*b177 + 11900*b4*b178 + 1092*b4*
    b179 + 1218*b4*b181 + 3444*b4*b182 + 3444*b4*b183 + 252*b4*b184 + 2982*b4*
    b185 + 336*b4*b186 + 3234*b4*b187 + 3108*b4*b188 + 1260*b4*b189 + 3738*b4*
    b190 + 3192*b4*b191 + 3192*b4*b192 + 1680*b4*b193 + 2352*b4*b194 + 42*b4*
    b195 + 2100*b4*b196 + 168*b4*b197 + 1512*b4*b198 + 1134*b4*b199 + 3570*b4*
    b200 + 1924*b4*b201 + 2146*b4*b203 + 6068*b4*b204 + 6068*b4*b205 + 444*b4*
    b206 + 5254*b4*b207 + 592*b4*b208 + 5698*b4*b209 + 5476*b4*b210 + 2220*b4*
    b211 + 6586*b4*b212 + 5624*b4*b213 + 5624*b4*b214 + 2960*b4*b215 + 4144*b4*
    b216 + 74*b4*b217 + 3700*b4*b218 + 296*b4*b219 + 2664*b4*b220 + 1998*b4*
    b221 + 6290*b4*b222 + 1924*b4*b223 + 2146*b4*b225 + 6068*b4*b226 + 6068*b4*
    b227 + 444*b4*b228 + 5254*b4*b229 + 592*b4*b230 + 5698*b4*b231 + 5476*b4*
    b232 + 2220*b4*b233 + 6586*b4*b234 + 5624*b4*b235 + 5624*b4*b236 + 2960*b4*
    b237 + 4144*b4*b238 + 74*b4*b239 + 3700*b4*b240 + 296*b4*b241 + 2664*b4*
    b242 + 1998*b4*b243 + 6290*b4*b244 + 3484*b4*b245 + 3886*b4*b247 + 10988*b4
    *b248 + 10988*b4*b249 + 804*b4*b250 + 9514*b4*b251 + 1072*b4*b252 + 10318*
    b4*b253 + 9916*b4*b254 + 4020*b4*b255 + 11926*b4*b256 + 10184*b4*b257 + 
    10184*b4*b258 + 5360*b4*b259 + 7504*b4*b260 + 134*b4*b261 + 6700*b4*b262 + 
    536*b4*b263 + 4824*b4*b264 + 3618*b4*b265 + 11390*b4*b266 + 4836*b4*b267 + 
    5394*b4*b269 + 15252*b4*b270 + 15252*b4*b271 + 1116*b4*b272 + 13206*b4*b273
     + 1488*b4*b274 + 14322*b4*b275 + 13764*b4*b276 + 5580*b4*b277 + 16554*b4*
    b278 + 14136*b4*b279 + 14136*b4*b280 + 7440*b4*b281 + 10416*b4*b282 + 186*
    b4*b283 + 9300*b4*b284 + 744*b4*b285 + 6696*b4*b286 + 5022*b4*b287 + 15810*
    b4*b288 + 4836*b4*b289 + 5394*b4*b291 + 15252*b4*b292 + 15252*b4*b293 + 
    1116*b4*b294 + 13206*b4*b295 + 1488*b4*b296 + 14322*b4*b297 + 13764*b4*b298
     + 5580*b4*b299 + 16554*b4*b300 + 14136*b4*b301 + 14136*b4*b302 + 7440*b4*
    b303 + 10416*b4*b304 + 186*b4*b305 + 9300*b4*b306 + 744*b4*b307 + 6696*b4*
    b308 + 5022*b4*b309 + 15810*b4*b310 + 2028*b4*b311 + 2262*b4*b313 + 6396*b4
    *b314 + 6396*b4*b315 + 468*b4*b316 + 5538*b4*b317 + 624*b4*b318 + 6006*b4*
    b319 + 5772*b4*b320 + 2340*b4*b321 + 6942*b4*b322 + 5928*b4*b323 + 5928*b4*
    b324 + 3120*b4*b325 + 4368*b4*b326 + 78*b4*b327 + 3900*b4*b328 + 312*b4*
    b329 + 2808*b4*b330 + 2106*b4*b331 + 6630*b4*b332 + 104*b4*b333 + 116*b4*
    b335 + 328*b4*b336 + 328*b4*b337 + 24*b4*b338 + 284*b4*b339 + 32*b4*b340 + 
    308*b4*b341 + 296*b4*b342 + 120*b4*b343 + 356*b4*b344 + 304*b4*b345 + 304*
    b4*b346 + 160*b4*b347 + 224*b4*b348 + 4*b4*b349 + 200*b4*b350 + 16*b4*b351
     + 144*b4*b352 + 108*b4*b353 + 340*b4*b354 + 2704*b4*b355 + 3016*b4*b357 + 
    8528*b4*b358 + 8528*b4*b359 + 624*b4*b360 + 7384*b4*b361 + 832*b4*b362 + 
    8008*b4*b363 + 7696*b4*b364 + 3120*b4*b365 + 9256*b4*b366 + 7904*b4*b367 + 
    7904*b4*b368 + 4160*b4*b369 + 5824*b4*b370 + 104*b4*b371 + 5200*b4*b372 + 
    416*b4*b373 + 3744*b4*b374 + 2808*b4*b375 + 8840*b4*b376 + 1352*b4*b377 + 
    1508*b4*b379 + 4264*b4*b380 + 4264*b4*b381 + 312*b4*b382 + 3692*b4*b383 + 
    416*b4*b384 + 4004*b4*b385 + 3848*b4*b386 + 1560*b4*b387 + 4628*b4*b388 + 
    3952*b4*b389 + 3952*b4*b390 + 2080*b4*b391 + 2912*b4*b392 + 52*b4*b393 + 
    2600*b4*b394 + 208*b4*b395 + 1872*b4*b396 + 1404*b4*b397 + 4420*b4*b398 + 
    4680*b4*b399 + 5220*b4*b401 + 14760*b4*b402 + 14760*b4*b403 + 1080*b4*b404
     + 12780*b4*b405 + 1440*b4*b406 + 13860*b4*b407 + 13320*b4*b408 + 5400*b4*
    b409 + 16020*b4*b410 + 13680*b4*b411 + 13680*b4*b412 + 7200*b4*b413 + 10080
    *b4*b414 + 180*b4*b415 + 9000*b4*b416 + 720*b4*b417 + 6480*b4*b418 + 4860*
    b4*b419 + 15300*b4*b420 + 1352*b4*b421 + 1508*b4*b423 + 4264*b4*b424 + 4264
    *b4*b425 + 312*b4*b426 + 3692*b4*b427 + 416*b4*b428 + 4004*b4*b429 + 3848*
    b4*b430 + 1560*b4*b431 + 4628*b4*b432 + 3952*b4*b433 + 3952*b4*b434 + 2080*
    b4*b435 + 2912*b4*b436 + 52*b4*b437 + 2600*b4*b438 + 208*b4*b439 + 1872*b4*
    b440 + 1404*b4*b441 + 4420*b4*b442 + 52*b4*b443 + 58*b4*b445 + 164*b4*b446
     + 164*b4*b447 + 12*b4*b448 + 142*b4*b449 + 16*b4*b450 + 154*b4*b451 + 148*
    b4*b452 + 60*b4*b453 + 178*b4*b454 + 152*b4*b455 + 152*b4*b456 + 80*b4*b457
     + 112*b4*b458 + 2*b4*b459 + 100*b4*b460 + 8*b4*b461 + 72*b4*b462 + 54*b4*
    b463 + 170*b4*b464 + 3536*b4*b465 + 3944*b4*b467 + 11152*b4*b468 + 11152*b4
    *b469 + 816*b4*b470 + 9656*b4*b471 + 1088*b4*b472 + 10472*b4*b473 + 10064*
    b4*b474 + 4080*b4*b475 + 12104*b4*b476 + 10336*b4*b477 + 10336*b4*b478 + 
    5440*b4*b479 + 7616*b4*b480 + 136*b4*b481 + 6800*b4*b482 + 544*b4*b483 + 
    4896*b4*b484 + 3672*b4*b485 + 11560*b4*b486 + 4836*b4*b487 + 5394*b4*b489
     + 15252*b4*b490 + 15252*b4*b491 + 1116*b4*b492 + 13206*b4*b493 + 1488*b4*
    b494 + 14322*b4*b495 + 13764*b4*b496 + 5580*b4*b497 + 16554*b4*b498 + 14136
    *b4*b499 + 14136*b4*b500 + 7440*b4*b501 + 10416*b4*b502 + 186*b4*b503 + 
    9300*b4*b504 + 744*b4*b505 + 6696*b4*b506 + 5022*b4*b507 + 15810*b4*b508 + 
    364*b4*b509 + 406*b4*b511 + 1148*b4*b512 + 1148*b4*b513 + 84*b4*b514 + 994*
    b4*b515 + 112*b4*b516 + 1078*b4*b517 + 1036*b4*b518 + 420*b4*b519 + 1246*b4
    *b520 + 1064*b4*b521 + 1064*b4*b522 + 560*b4*b523 + 784*b4*b524 + 14*b4*
    b525 + 700*b4*b526 + 56*b4*b527 + 504*b4*b528 + 378*b4*b529 + 1190*b4*b530
     + 15010*b4*b531 + 14694*b4*b532 + 316*b4*b533 + 18620*b4*b534 + 18228*b4*
    b535 + 392*b4*b536 + 11400*b4*b537 + 11160*b4*b538 + 240*b4*b539 + 6650*b4*
    b540 + 6510*b4*b541 + 140*b4*b542 + 1710*b4*b543 + 1674*b4*b544 + 36*b4*
    b545 + 18240*b4*b546 + 17856*b4*b547 + 384*b4*b548 + 13300*b4*b549 + 13020*
    b4*b550 + 280*b4*b551 + 3990*b4*b552 + 3906*b4*b553 + 84*b4*b554 + 7030*b4*
    b555 + 6882*b4*b556 + 148*b4*b557 + 7030*b4*b558 + 6882*b4*b559 + 148*b4*
    b560 + 12730*b4*b561 + 12462*b4*b562 + 268*b4*b563 + 17670*b4*b564 + 17298*
    b4*b565 + 372*b4*b566 + 17670*b4*b567 + 17298*b4*b568 + 372*b4*b569 + 7410*
    b4*b570 + 7254*b4*b571 + 156*b4*b572 + 380*b4*b573 + 372*b4*b574 + 8*b4*
    b575 + 9880*b4*b576 + 9672*b4*b577 + 208*b4*b578 + 4940*b4*b579 + 4836*b4*
    b580 + 104*b4*b581 + 17100*b4*b582 + 16740*b4*b583 + 360*b4*b584 + 4940*b4*
    b585 + 4836*b4*b586 + 104*b4*b587 + 190*b4*b588 + 186*b4*b589 + 4*b4*b590
     + 12920*b4*b591 + 12648*b4*b592 + 272*b4*b593 + 17670*b4*b594 + 17298*b4*
    b595 + 372*b4*b596 + 1330*b4*b597 + 1302*b4*b598 + 28*b4*b599 + 5336*b4*
    b601 + 15088*b4*b602 + 15088*b4*b603 + 1104*b4*b604 + 13064*b4*b605 + 1472*
    b4*b606 + 14168*b4*b607 + 13616*b4*b608 + 5520*b4*b609 + 16376*b4*b610 + 
    13984*b4*b611 + 13984*b4*b612 + 7360*b4*b613 + 17112*b4*b614 + 10304*b4*
    b615 + 184*b4*b616 + 9200*b4*b617 + 736*b4*b618 + 6624*b4*b619 + 4968*b4*
    b620 + 15640*b4*b621 + 368*b4*b622 + 4784*b4*b623 + 14378*b5*b25 + 4582*b5*
    b26 + 158*b5*b28 + 2370*b5*b29 + 1738*b5*b30 + 5530*b5*b31 + 1738*b5*b32 + 
    3160*b5*b33 + 3318*b5*b34 + 9638*b5*b35 + 12640*b5*b36 + 9164*b5*b37 + 3318
    *b5*b38 + 12008*b5*b39 + 6952*b5*b40 + 13430*b5*b41 + 14852*b5*b42 + 14220*
    b5*b43 + 8058*b5*b44 + 474*b5*b45 + 7584*b5*b46 + 17836*b5*b47 + 5684*b5*
    b48 + 196*b5*b50 + 2940*b5*b51 + 2156*b5*b52 + 6860*b5*b53 + 2156*b5*b54 + 
    3920*b5*b55 + 4116*b5*b56 + 11956*b5*b57 + 15680*b5*b58 + 11368*b5*b59 + 
    4116*b5*b60 + 14896*b5*b61 + 8624*b5*b62 + 16660*b5*b63 + 18424*b5*b64 + 
    17640*b5*b65 + 9996*b5*b66 + 588*b5*b67 + 9408*b5*b68 + 10920*b5*b69 + 3480
    *b5*b70 + 120*b5*b72 + 1800*b5*b73 + 1320*b5*b74 + 4200*b5*b75 + 1320*b5*
    b76 + 2400*b5*b77 + 2520*b5*b78 + 7320*b5*b79 + 9600*b5*b80 + 6960*b5*b81
     + 2520*b5*b82 + 9120*b5*b83 + 5280*b5*b84 + 10200*b5*b85 + 11280*b5*b86 + 
    10800*b5*b87 + 6120*b5*b88 + 360*b5*b89 + 5760*b5*b90 + 6370*b5*b91 + 2030*
    b5*b92 + 70*b5*b94 + 1050*b5*b95 + 770*b5*b96 + 2450*b5*b97 + 770*b5*b98 + 
    1400*b5*b99 + 1470*b5*b100 + 4270*b5*b101 + 5600*b5*b102 + 4060*b5*b103 + 
    1470*b5*b104 + 5320*b5*b105 + 3080*b5*b106 + 5950*b5*b107 + 6580*b5*b108 + 
    6300*b5*b109 + 3570*b5*b110 + 210*b5*b111 + 3360*b5*b112 + 1638*b5*b113 + 
    522*b5*b114 + 18*b5*b116 + 270*b5*b117 + 198*b5*b118 + 630*b5*b119 + 198*b5
    *b120 + 360*b5*b121 + 378*b5*b122 + 1098*b5*b123 + 1440*b5*b124 + 1044*b5*
    b125 + 378*b5*b126 + 1368*b5*b127 + 792*b5*b128 + 1530*b5*b129 + 1692*b5*
    b130 + 1620*b5*b131 + 918*b5*b132 + 54*b5*b133 + 864*b5*b134 + 17472*b5*
    b135 + 5568*b5*b136 + 192*b5*b138 + 2880*b5*b139 + 2112*b5*b140 + 6720*b5*
    b141 + 2112*b5*b142 + 3840*b5*b143 + 4032*b5*b144 + 11712*b5*b145 + 15360*
    b5*b146 + 11136*b5*b147 + 4032*b5*b148 + 14592*b5*b149 + 8448*b5*b150 + 
    16320*b5*b151 + 18048*b5*b152 + 17280*b5*b153 + 9792*b5*b154 + 576*b5*b155
     + 9216*b5*b156 + 12740*b5*b157 + 4060*b5*b158 + 140*b5*b160 + 2100*b5*b161
     + 1540*b5*b162 + 4900*b5*b163 + 1540*b5*b164 + 2800*b5*b165 + 2940*b5*b166
     + 8540*b5*b167 + 11200*b5*b168 + 8120*b5*b169 + 2940*b5*b170 + 10640*b5*
    b171 + 6160*b5*b172 + 11900*b5*b173 + 13160*b5*b174 + 12600*b5*b175 + 7140*
    b5*b176 + 420*b5*b177 + 6720*b5*b178 + 3822*b5*b179 + 1218*b5*b180 + 42*b5*
    b182 + 630*b5*b183 + 462*b5*b184 + 1470*b5*b185 + 462*b5*b186 + 840*b5*b187
     + 882*b5*b188 + 2562*b5*b189 + 3360*b5*b190 + 2436*b5*b191 + 882*b5*b192
     + 3192*b5*b193 + 1848*b5*b194 + 3570*b5*b195 + 3948*b5*b196 + 3780*b5*b197
     + 2142*b5*b198 + 126*b5*b199 + 2016*b5*b200 + 6734*b5*b201 + 2146*b5*b202
     + 74*b5*b204 + 1110*b5*b205 + 814*b5*b206 + 2590*b5*b207 + 814*b5*b208 + 
    1480*b5*b209 + 1554*b5*b210 + 4514*b5*b211 + 5920*b5*b212 + 4292*b5*b213 + 
    1554*b5*b214 + 5624*b5*b215 + 3256*b5*b216 + 6290*b5*b217 + 6956*b5*b218 + 
    6660*b5*b219 + 3774*b5*b220 + 222*b5*b221 + 3552*b5*b222 + 6734*b5*b223 + 
    2146*b5*b224 + 74*b5*b226 + 1110*b5*b227 + 814*b5*b228 + 2590*b5*b229 + 814
    *b5*b230 + 1480*b5*b231 + 1554*b5*b232 + 4514*b5*b233 + 5920*b5*b234 + 4292
    *b5*b235 + 1554*b5*b236 + 5624*b5*b237 + 3256*b5*b238 + 6290*b5*b239 + 6956
    *b5*b240 + 6660*b5*b241 + 3774*b5*b242 + 222*b5*b243 + 3552*b5*b244 + 12194
    *b5*b245 + 3886*b5*b246 + 134*b5*b248 + 2010*b5*b249 + 1474*b5*b250 + 4690*
    b5*b251 + 1474*b5*b252 + 2680*b5*b253 + 2814*b5*b254 + 8174*b5*b255 + 10720
    *b5*b256 + 7772*b5*b257 + 2814*b5*b258 + 10184*b5*b259 + 5896*b5*b260 + 
    11390*b5*b261 + 12596*b5*b262 + 12060*b5*b263 + 6834*b5*b264 + 402*b5*b265
     + 6432*b5*b266 + 16926*b5*b267 + 5394*b5*b268 + 186*b5*b270 + 2790*b5*b271
     + 2046*b5*b272 + 6510*b5*b273 + 2046*b5*b274 + 3720*b5*b275 + 3906*b5*b276
     + 11346*b5*b277 + 14880*b5*b278 + 10788*b5*b279 + 3906*b5*b280 + 14136*b5*
    b281 + 8184*b5*b282 + 15810*b5*b283 + 17484*b5*b284 + 16740*b5*b285 + 9486*
    b5*b286 + 558*b5*b287 + 8928*b5*b288 + 16926*b5*b289 + 5394*b5*b290 + 186*
    b5*b292 + 2790*b5*b293 + 2046*b5*b294 + 6510*b5*b295 + 2046*b5*b296 + 3720*
    b5*b297 + 3906*b5*b298 + 11346*b5*b299 + 14880*b5*b300 + 10788*b5*b301 + 
    3906*b5*b302 + 14136*b5*b303 + 8184*b5*b304 + 15810*b5*b305 + 17484*b5*b306
     + 16740*b5*b307 + 9486*b5*b308 + 558*b5*b309 + 8928*b5*b310 + 7098*b5*b311
     + 2262*b5*b312 + 78*b5*b314 + 1170*b5*b315 + 858*b5*b316 + 2730*b5*b317 + 
    858*b5*b318 + 1560*b5*b319 + 1638*b5*b320 + 4758*b5*b321 + 6240*b5*b322 + 
    4524*b5*b323 + 1638*b5*b324 + 5928*b5*b325 + 3432*b5*b326 + 6630*b5*b327 + 
    7332*b5*b328 + 7020*b5*b329 + 3978*b5*b330 + 234*b5*b331 + 3744*b5*b332 + 
    364*b5*b333 + 116*b5*b334 + 4*b5*b336 + 60*b5*b337 + 44*b5*b338 + 140*b5*
    b339 + 44*b5*b340 + 80*b5*b341 + 84*b5*b342 + 244*b5*b343 + 320*b5*b344 + 
    232*b5*b345 + 84*b5*b346 + 304*b5*b347 + 176*b5*b348 + 340*b5*b349 + 376*b5
    *b350 + 360*b5*b351 + 204*b5*b352 + 12*b5*b353 + 192*b5*b354 + 9464*b5*b355
     + 3016*b5*b356 + 104*b5*b358 + 1560*b5*b359 + 1144*b5*b360 + 3640*b5*b361
     + 1144*b5*b362 + 2080*b5*b363 + 2184*b5*b364 + 6344*b5*b365 + 8320*b5*b366
     + 6032*b5*b367 + 2184*b5*b368 + 7904*b5*b369 + 4576*b5*b370 + 8840*b5*b371
     + 9776*b5*b372 + 9360*b5*b373 + 5304*b5*b374 + 312*b5*b375 + 4992*b5*b376
     + 4732*b5*b377 + 1508*b5*b378 + 52*b5*b380 + 780*b5*b381 + 572*b5*b382 + 
    1820*b5*b383 + 572*b5*b384 + 1040*b5*b385 + 1092*b5*b386 + 3172*b5*b387 + 
    4160*b5*b388 + 3016*b5*b389 + 1092*b5*b390 + 3952*b5*b391 + 2288*b5*b392 + 
    4420*b5*b393 + 4888*b5*b394 + 4680*b5*b395 + 2652*b5*b396 + 156*b5*b397 + 
    2496*b5*b398 + 16380*b5*b399 + 5220*b5*b400 + 180*b5*b402 + 2700*b5*b403 + 
    1980*b5*b404 + 6300*b5*b405 + 1980*b5*b406 + 3600*b5*b407 + 3780*b5*b408 + 
    10980*b5*b409 + 14400*b5*b410 + 10440*b5*b411 + 3780*b5*b412 + 13680*b5*
    b413 + 7920*b5*b414 + 15300*b5*b415 + 16920*b5*b416 + 16200*b5*b417 + 9180*
    b5*b418 + 540*b5*b419 + 8640*b5*b420 + 4732*b5*b421 + 1508*b5*b422 + 52*b5*
    b424 + 780*b5*b425 + 572*b5*b426 + 1820*b5*b427 + 572*b5*b428 + 1040*b5*
    b429 + 1092*b5*b430 + 3172*b5*b431 + 4160*b5*b432 + 3016*b5*b433 + 1092*b5*
    b434 + 3952*b5*b435 + 2288*b5*b436 + 4420*b5*b437 + 4888*b5*b438 + 4680*b5*
    b439 + 2652*b5*b440 + 156*b5*b441 + 2496*b5*b442 + 182*b5*b443 + 58*b5*b444
     + 2*b5*b446 + 30*b5*b447 + 22*b5*b448 + 70*b5*b449 + 22*b5*b450 + 40*b5*
    b451 + 42*b5*b452 + 122*b5*b453 + 160*b5*b454 + 116*b5*b455 + 42*b5*b456 + 
    152*b5*b457 + 88*b5*b458 + 170*b5*b459 + 188*b5*b460 + 180*b5*b461 + 102*b5
    *b462 + 6*b5*b463 + 96*b5*b464 + 12376*b5*b465 + 3944*b5*b466 + 136*b5*b468
     + 2040*b5*b469 + 1496*b5*b470 + 4760*b5*b471 + 1496*b5*b472 + 2720*b5*b473
     + 2856*b5*b474 + 8296*b5*b475 + 10880*b5*b476 + 7888*b5*b477 + 2856*b5*
    b478 + 10336*b5*b479 + 5984*b5*b480 + 11560*b5*b481 + 12784*b5*b482 + 12240
    *b5*b483 + 6936*b5*b484 + 408*b5*b485 + 6528*b5*b486 + 16926*b5*b487 + 5394
    *b5*b488 + 186*b5*b490 + 2790*b5*b491 + 2046*b5*b492 + 6510*b5*b493 + 2046*
    b5*b494 + 3720*b5*b495 + 3906*b5*b496 + 11346*b5*b497 + 14880*b5*b498 + 
    10788*b5*b499 + 3906*b5*b500 + 14136*b5*b501 + 8184*b5*b502 + 15810*b5*b503
     + 17484*b5*b504 + 16740*b5*b505 + 9486*b5*b506 + 558*b5*b507 + 8928*b5*
    b508 + 1274*b5*b509 + 406*b5*b510 + 14*b5*b512 + 210*b5*b513 + 154*b5*b514
     + 490*b5*b515 + 154*b5*b516 + 280*b5*b517 + 294*b5*b518 + 854*b5*b519 + 
    1120*b5*b520 + 812*b5*b521 + 294*b5*b522 + 1064*b5*b523 + 616*b5*b524 + 
    1190*b5*b525 + 1316*b5*b526 + 1260*b5*b527 + 714*b5*b528 + 42*b5*b529 + 672
    *b5*b530 + 12956*b5*b531 + 11376*b5*b532 + 4582*b5*b533 + 16072*b5*b534 + 
    14112*b5*b535 + 5684*b5*b536 + 9840*b5*b537 + 8640*b5*b538 + 3480*b5*b539
     + 5740*b5*b540 + 5040*b5*b541 + 2030*b5*b542 + 1476*b5*b543 + 1296*b5*b544
     + 522*b5*b545 + 15744*b5*b546 + 13824*b5*b547 + 5568*b5*b548 + 11480*b5*
    b549 + 10080*b5*b550 + 4060*b5*b551 + 3444*b5*b552 + 3024*b5*b553 + 1218*b5
    *b554 + 6068*b5*b555 + 5328*b5*b556 + 2146*b5*b557 + 6068*b5*b558 + 5328*b5
    *b559 + 2146*b5*b560 + 10988*b5*b561 + 9648*b5*b562 + 3886*b5*b563 + 15252*
    b5*b564 + 13392*b5*b565 + 5394*b5*b566 + 15252*b5*b567 + 13392*b5*b568 + 
    5394*b5*b569 + 6396*b5*b570 + 5616*b5*b571 + 2262*b5*b572 + 328*b5*b573 + 
    288*b5*b574 + 116*b5*b575 + 8528*b5*b576 + 7488*b5*b577 + 3016*b5*b578 + 
    4264*b5*b579 + 3744*b5*b580 + 1508*b5*b581 + 14760*b5*b582 + 12960*b5*b583
     + 5220*b5*b584 + 4264*b5*b585 + 3744*b5*b586 + 1508*b5*b587 + 164*b5*b588
     + 144*b5*b589 + 58*b5*b590 + 11152*b5*b591 + 9792*b5*b592 + 3944*b5*b593
     + 15252*b5*b594 + 13392*b5*b595 + 5394*b5*b596 + 1148*b5*b597 + 1008*b5*
    b598 + 406*b5*b599 + 5336*b5*b600 + 184*b5*b602 + 2760*b5*b603 + 2024*b5*
    b604 + 6440*b5*b605 + 2024*b5*b606 + 3680*b5*b607 + 3864*b5*b608 + 11224*b5
    *b609 + 14720*b5*b610 + 10672*b5*b611 + 3864*b5*b612 + 13984*b5*b613 + 
    13248*b5*b614 + 8096*b5*b615 + 15640*b5*b616 + 17296*b5*b617 + 16560*b5*
    b618 + 9384*b5*b619 + 552*b5*b620 + 8832*b5*b621 + 5336*b5*b622 + 16744*b5*
    b623 + 1738*b6*b25 + 12956*b6*b26 + 158*b6*b27 + 14220*b6*b29 + 10428*b6*
    b30 + 6478*b6*b31 + 2370*b6*b32 + 13114*b6*b33 + 15168*b6*b34 + 11692*b6*
    b35 + 7110*b6*b36 + 10270*b6*b37 + 6320*b6*b38 + 8532*b6*b39 + 2212*b6*b40
     + 11218*b6*b41 + 12166*b6*b42 + 5688*b6*b43 + 8374*b6*b44 + 5846*b6*b45 + 
    4108*b6*b46 + 2156*b6*b47 + 16072*b6*b48 + 196*b6*b49 + 17640*b6*b51 + 
    12936*b6*b52 + 8036*b6*b53 + 2940*b6*b54 + 16268*b6*b55 + 18816*b6*b56 + 
    14504*b6*b57 + 8820*b6*b58 + 12740*b6*b59 + 7840*b6*b60 + 10584*b6*b61 + 
    2744*b6*b62 + 13916*b6*b63 + 15092*b6*b64 + 7056*b6*b65 + 10388*b6*b66 + 
    7252*b6*b67 + 5096*b6*b68 + 1320*b6*b69 + 9840*b6*b70 + 120*b6*b71 + 10800*
    b6*b73 + 7920*b6*b74 + 4920*b6*b75 + 1800*b6*b76 + 9960*b6*b77 + 11520*b6*
    b78 + 8880*b6*b79 + 5400*b6*b80 + 7800*b6*b81 + 4800*b6*b82 + 6480*b6*b83
     + 1680*b6*b84 + 8520*b6*b85 + 9240*b6*b86 + 4320*b6*b87 + 6360*b6*b88 + 
    4440*b6*b89 + 3120*b6*b90 + 770*b6*b91 + 5740*b6*b92 + 70*b6*b93 + 6300*b6*
    b95 + 4620*b6*b96 + 2870*b6*b97 + 1050*b6*b98 + 5810*b6*b99 + 6720*b6*b100
     + 5180*b6*b101 + 3150*b6*b102 + 4550*b6*b103 + 2800*b6*b104 + 3780*b6*b105
     + 980*b6*b106 + 4970*b6*b107 + 5390*b6*b108 + 2520*b6*b109 + 3710*b6*b110
     + 2590*b6*b111 + 1820*b6*b112 + 198*b6*b113 + 1476*b6*b114 + 18*b6*b115 + 
    1620*b6*b117 + 1188*b6*b118 + 738*b6*b119 + 270*b6*b120 + 1494*b6*b121 + 
    1728*b6*b122 + 1332*b6*b123 + 810*b6*b124 + 1170*b6*b125 + 720*b6*b126 + 
    972*b6*b127 + 252*b6*b128 + 1278*b6*b129 + 1386*b6*b130 + 648*b6*b131 + 954
    *b6*b132 + 666*b6*b133 + 468*b6*b134 + 2112*b6*b135 + 15744*b6*b136 + 192*
    b6*b137 + 17280*b6*b139 + 12672*b6*b140 + 7872*b6*b141 + 2880*b6*b142 + 
    15936*b6*b143 + 18432*b6*b144 + 14208*b6*b145 + 8640*b6*b146 + 12480*b6*
    b147 + 7680*b6*b148 + 10368*b6*b149 + 2688*b6*b150 + 13632*b6*b151 + 14784*
    b6*b152 + 6912*b6*b153 + 10176*b6*b154 + 7104*b6*b155 + 4992*b6*b156 + 1540
    *b6*b157 + 11480*b6*b158 + 140*b6*b159 + 12600*b6*b161 + 9240*b6*b162 + 
    5740*b6*b163 + 2100*b6*b164 + 11620*b6*b165 + 13440*b6*b166 + 10360*b6*b167
     + 6300*b6*b168 + 9100*b6*b169 + 5600*b6*b170 + 7560*b6*b171 + 1960*b6*b172
     + 9940*b6*b173 + 10780*b6*b174 + 5040*b6*b175 + 7420*b6*b176 + 5180*b6*
    b177 + 3640*b6*b178 + 462*b6*b179 + 3444*b6*b180 + 42*b6*b181 + 3780*b6*
    b183 + 2772*b6*b184 + 1722*b6*b185 + 630*b6*b186 + 3486*b6*b187 + 4032*b6*
    b188 + 3108*b6*b189 + 1890*b6*b190 + 2730*b6*b191 + 1680*b6*b192 + 2268*b6*
    b193 + 588*b6*b194 + 2982*b6*b195 + 3234*b6*b196 + 1512*b6*b197 + 2226*b6*
    b198 + 1554*b6*b199 + 1092*b6*b200 + 814*b6*b201 + 6068*b6*b202 + 74*b6*
    b203 + 6660*b6*b205 + 4884*b6*b206 + 3034*b6*b207 + 1110*b6*b208 + 6142*b6*
    b209 + 7104*b6*b210 + 5476*b6*b211 + 3330*b6*b212 + 4810*b6*b213 + 2960*b6*
    b214 + 3996*b6*b215 + 1036*b6*b216 + 5254*b6*b217 + 5698*b6*b218 + 2664*b6*
    b219 + 3922*b6*b220 + 2738*b6*b221 + 1924*b6*b222 + 814*b6*b223 + 6068*b6*
    b224 + 74*b6*b225 + 6660*b6*b227 + 4884*b6*b228 + 3034*b6*b229 + 1110*b6*
    b230 + 6142*b6*b231 + 7104*b6*b232 + 5476*b6*b233 + 3330*b6*b234 + 4810*b6*
    b235 + 2960*b6*b236 + 3996*b6*b237 + 1036*b6*b238 + 5254*b6*b239 + 5698*b6*
    b240 + 2664*b6*b241 + 3922*b6*b242 + 2738*b6*b243 + 1924*b6*b244 + 1474*b6*
    b245 + 10988*b6*b246 + 134*b6*b247 + 12060*b6*b249 + 8844*b6*b250 + 5494*b6
    *b251 + 2010*b6*b252 + 11122*b6*b253 + 12864*b6*b254 + 9916*b6*b255 + 6030*
    b6*b256 + 8710*b6*b257 + 5360*b6*b258 + 7236*b6*b259 + 1876*b6*b260 + 9514*
    b6*b261 + 10318*b6*b262 + 4824*b6*b263 + 7102*b6*b264 + 4958*b6*b265 + 3484
    *b6*b266 + 2046*b6*b267 + 15252*b6*b268 + 186*b6*b269 + 16740*b6*b271 + 
    12276*b6*b272 + 7626*b6*b273 + 2790*b6*b274 + 15438*b6*b275 + 17856*b6*b276
     + 13764*b6*b277 + 8370*b6*b278 + 12090*b6*b279 + 7440*b6*b280 + 10044*b6*
    b281 + 2604*b6*b282 + 13206*b6*b283 + 14322*b6*b284 + 6696*b6*b285 + 9858*
    b6*b286 + 6882*b6*b287 + 4836*b6*b288 + 2046*b6*b289 + 15252*b6*b290 + 186*
    b6*b291 + 16740*b6*b293 + 12276*b6*b294 + 7626*b6*b295 + 2790*b6*b296 + 
    15438*b6*b297 + 17856*b6*b298 + 13764*b6*b299 + 8370*b6*b300 + 12090*b6*
    b301 + 7440*b6*b302 + 10044*b6*b303 + 2604*b6*b304 + 13206*b6*b305 + 14322*
    b6*b306 + 6696*b6*b307 + 9858*b6*b308 + 6882*b6*b309 + 4836*b6*b310 + 858*
    b6*b311 + 6396*b6*b312 + 78*b6*b313 + 7020*b6*b315 + 5148*b6*b316 + 3198*b6
    *b317 + 1170*b6*b318 + 6474*b6*b319 + 7488*b6*b320 + 5772*b6*b321 + 3510*b6
    *b322 + 5070*b6*b323 + 3120*b6*b324 + 4212*b6*b325 + 1092*b6*b326 + 5538*b6
    *b327 + 6006*b6*b328 + 2808*b6*b329 + 4134*b6*b330 + 2886*b6*b331 + 2028*b6
    *b332 + 44*b6*b333 + 328*b6*b334 + 4*b6*b335 + 360*b6*b337 + 264*b6*b338 + 
    164*b6*b339 + 60*b6*b340 + 332*b6*b341 + 384*b6*b342 + 296*b6*b343 + 180*b6
    *b344 + 260*b6*b345 + 160*b6*b346 + 216*b6*b347 + 56*b6*b348 + 284*b6*b349
     + 308*b6*b350 + 144*b6*b351 + 212*b6*b352 + 148*b6*b353 + 104*b6*b354 + 
    1144*b6*b355 + 8528*b6*b356 + 104*b6*b357 + 9360*b6*b359 + 6864*b6*b360 + 
    4264*b6*b361 + 1560*b6*b362 + 8632*b6*b363 + 9984*b6*b364 + 7696*b6*b365 + 
    4680*b6*b366 + 6760*b6*b367 + 4160*b6*b368 + 5616*b6*b369 + 1456*b6*b370 + 
    7384*b6*b371 + 8008*b6*b372 + 3744*b6*b373 + 5512*b6*b374 + 3848*b6*b375 + 
    2704*b6*b376 + 572*b6*b377 + 4264*b6*b378 + 52*b6*b379 + 4680*b6*b381 + 
    3432*b6*b382 + 2132*b6*b383 + 780*b6*b384 + 4316*b6*b385 + 4992*b6*b386 + 
    3848*b6*b387 + 2340*b6*b388 + 3380*b6*b389 + 2080*b6*b390 + 2808*b6*b391 + 
    728*b6*b392 + 3692*b6*b393 + 4004*b6*b394 + 1872*b6*b395 + 2756*b6*b396 + 
    1924*b6*b397 + 1352*b6*b398 + 1980*b6*b399 + 14760*b6*b400 + 180*b6*b401 + 
    16200*b6*b403 + 11880*b6*b404 + 7380*b6*b405 + 2700*b6*b406 + 14940*b6*b407
     + 17280*b6*b408 + 13320*b6*b409 + 8100*b6*b410 + 11700*b6*b411 + 7200*b6*
    b412 + 9720*b6*b413 + 2520*b6*b414 + 12780*b6*b415 + 13860*b6*b416 + 6480*
    b6*b417 + 9540*b6*b418 + 6660*b6*b419 + 4680*b6*b420 + 572*b6*b421 + 4264*
    b6*b422 + 52*b6*b423 + 4680*b6*b425 + 3432*b6*b426 + 2132*b6*b427 + 780*b6*
    b428 + 4316*b6*b429 + 4992*b6*b430 + 3848*b6*b431 + 2340*b6*b432 + 3380*b6*
    b433 + 2080*b6*b434 + 2808*b6*b435 + 728*b6*b436 + 3692*b6*b437 + 4004*b6*
    b438 + 1872*b6*b439 + 2756*b6*b440 + 1924*b6*b441 + 1352*b6*b442 + 22*b6*
    b443 + 164*b6*b444 + 2*b6*b445 + 180*b6*b447 + 132*b6*b448 + 82*b6*b449 + 
    30*b6*b450 + 166*b6*b451 + 192*b6*b452 + 148*b6*b453 + 90*b6*b454 + 130*b6*
    b455 + 80*b6*b456 + 108*b6*b457 + 28*b6*b458 + 142*b6*b459 + 154*b6*b460 + 
    72*b6*b461 + 106*b6*b462 + 74*b6*b463 + 52*b6*b464 + 1496*b6*b465 + 11152*
    b6*b466 + 136*b6*b467 + 12240*b6*b469 + 8976*b6*b470 + 5576*b6*b471 + 2040*
    b6*b472 + 11288*b6*b473 + 13056*b6*b474 + 10064*b6*b475 + 6120*b6*b476 + 
    8840*b6*b477 + 5440*b6*b478 + 7344*b6*b479 + 1904*b6*b480 + 9656*b6*b481 + 
    10472*b6*b482 + 4896*b6*b483 + 7208*b6*b484 + 5032*b6*b485 + 3536*b6*b486
     + 2046*b6*b487 + 15252*b6*b488 + 186*b6*b489 + 16740*b6*b491 + 12276*b6*
    b492 + 7626*b6*b493 + 2790*b6*b494 + 15438*b6*b495 + 17856*b6*b496 + 13764*
    b6*b497 + 8370*b6*b498 + 12090*b6*b499 + 7440*b6*b500 + 10044*b6*b501 + 
    2604*b6*b502 + 13206*b6*b503 + 14322*b6*b504 + 6696*b6*b505 + 9858*b6*b506
     + 6882*b6*b507 + 4836*b6*b508 + 154*b6*b509 + 1148*b6*b510 + 14*b6*b511 + 
    1260*b6*b513 + 924*b6*b514 + 574*b6*b515 + 210*b6*b516 + 1162*b6*b517 + 
    1344*b6*b518 + 1036*b6*b519 + 630*b6*b520 + 910*b6*b521 + 560*b6*b522 + 756
    *b6*b523 + 196*b6*b524 + 994*b6*b525 + 1078*b6*b526 + 504*b6*b527 + 742*b6*
    b528 + 518*b6*b529 + 364*b6*b530 + 8848*b6*b531 + 13114*b6*b532 + 13746*b6*
    b533 + 10976*b6*b534 + 16268*b6*b535 + 17052*b6*b536 + 6720*b6*b537 + 9960*
    b6*b538 + 10440*b6*b539 + 3920*b6*b540 + 5810*b6*b541 + 6090*b6*b542 + 1008
    *b6*b543 + 1494*b6*b544 + 1566*b6*b545 + 10752*b6*b546 + 15936*b6*b547 + 
    16704*b6*b548 + 7840*b6*b549 + 11620*b6*b550 + 12180*b6*b551 + 2352*b6*b552
     + 3486*b6*b553 + 3654*b6*b554 + 4144*b6*b555 + 6142*b6*b556 + 6438*b6*b557
     + 4144*b6*b558 + 6142*b6*b559 + 6438*b6*b560 + 7504*b6*b561 + 11122*b6*
    b562 + 11658*b6*b563 + 10416*b6*b564 + 15438*b6*b565 + 16182*b6*b566 + 
    10416*b6*b567 + 15438*b6*b568 + 16182*b6*b569 + 4368*b6*b570 + 6474*b6*b571
     + 6786*b6*b572 + 224*b6*b573 + 332*b6*b574 + 348*b6*b575 + 5824*b6*b576 + 
    8632*b6*b577 + 9048*b6*b578 + 2912*b6*b579 + 4316*b6*b580 + 4524*b6*b581 + 
    10080*b6*b582 + 14940*b6*b583 + 15660*b6*b584 + 2912*b6*b585 + 4316*b6*b586
     + 4524*b6*b587 + 112*b6*b588 + 166*b6*b589 + 174*b6*b590 + 7616*b6*b591 + 
    11288*b6*b592 + 11832*b6*b593 + 10416*b6*b594 + 15438*b6*b595 + 16182*b6*
    b596 + 784*b6*b597 + 1162*b6*b598 + 1218*b6*b599 + 15088*b6*b600 + 184*b6*
    b601 + 16560*b6*b603 + 12144*b6*b604 + 7544*b6*b605 + 2760*b6*b606 + 15272*
    b6*b607 + 17664*b6*b608 + 13616*b6*b609 + 8280*b6*b610 + 11960*b6*b611 + 
    7360*b6*b612 + 9936*b6*b613 + 15272*b6*b614 + 2576*b6*b615 + 13064*b6*b616
     + 14168*b6*b617 + 6624*b6*b618 + 9752*b6*b619 + 6808*b6*b620 + 4784*b6*
    b621 + 16008*b6*b622 + 2024*b6*b623 + 5530*b7*b25 + 12956*b7*b26 + 2370*b7*
    b27 + 14220*b7*b28 + 12008*b7*b30 + 14378*b7*b31 + 2054*b7*b32 + 4582*b7*
    b33 + 1738*b7*b34 + 12166*b7*b35 + 5056*b7*b36 + 13746*b7*b37 + 10586*b7*
    b38 + 14852*b7*b39 + 316*b7*b40 + 1580*b7*b41 + 15642*b7*b42 + 8848*b7*b43
     + 11060*b7*b44 + 15642*b7*b45 + 9480*b7*b46 + 6860*b7*b47 + 16072*b7*b48
     + 2940*b7*b49 + 17640*b7*b50 + 14896*b7*b52 + 17836*b7*b53 + 2548*b7*b54
     + 5684*b7*b55 + 2156*b7*b56 + 15092*b7*b57 + 6272*b7*b58 + 17052*b7*b59 + 
    13132*b7*b60 + 18424*b7*b61 + 392*b7*b62 + 1960*b7*b63 + 19404*b7*b64 + 
    10976*b7*b65 + 13720*b7*b66 + 19404*b7*b67 + 11760*b7*b68 + 4200*b7*b69 + 
    9840*b7*b70 + 1800*b7*b71 + 10800*b7*b72 + 9120*b7*b74 + 10920*b7*b75 + 
    1560*b7*b76 + 3480*b7*b77 + 1320*b7*b78 + 9240*b7*b79 + 3840*b7*b80 + 10440
    *b7*b81 + 8040*b7*b82 + 11280*b7*b83 + 240*b7*b84 + 1200*b7*b85 + 11880*b7*
    b86 + 6720*b7*b87 + 8400*b7*b88 + 11880*b7*b89 + 7200*b7*b90 + 2450*b7*b91
     + 5740*b7*b92 + 1050*b7*b93 + 6300*b7*b94 + 5320*b7*b96 + 6370*b7*b97 + 
    910*b7*b98 + 2030*b7*b99 + 770*b7*b100 + 5390*b7*b101 + 2240*b7*b102 + 6090
    *b7*b103 + 4690*b7*b104 + 6580*b7*b105 + 140*b7*b106 + 700*b7*b107 + 6930*
    b7*b108 + 3920*b7*b109 + 4900*b7*b110 + 6930*b7*b111 + 4200*b7*b112 + 630*
    b7*b113 + 1476*b7*b114 + 270*b7*b115 + 1620*b7*b116 + 1368*b7*b118 + 1638*
    b7*b119 + 234*b7*b120 + 522*b7*b121 + 198*b7*b122 + 1386*b7*b123 + 576*b7*
    b124 + 1566*b7*b125 + 1206*b7*b126 + 1692*b7*b127 + 36*b7*b128 + 180*b7*
    b129 + 1782*b7*b130 + 1008*b7*b131 + 1260*b7*b132 + 1782*b7*b133 + 1080*b7*
    b134 + 6720*b7*b135 + 15744*b7*b136 + 2880*b7*b137 + 17280*b7*b138 + 14592*
    b7*b140 + 17472*b7*b141 + 2496*b7*b142 + 5568*b7*b143 + 2112*b7*b144 + 
    14784*b7*b145 + 6144*b7*b146 + 16704*b7*b147 + 12864*b7*b148 + 18048*b7*
    b149 + 384*b7*b150 + 1920*b7*b151 + 19008*b7*b152 + 10752*b7*b153 + 13440*
    b7*b154 + 19008*b7*b155 + 11520*b7*b156 + 4900*b7*b157 + 11480*b7*b158 + 
    2100*b7*b159 + 12600*b7*b160 + 10640*b7*b162 + 12740*b7*b163 + 1820*b7*b164
     + 4060*b7*b165 + 1540*b7*b166 + 10780*b7*b167 + 4480*b7*b168 + 12180*b7*
    b169 + 9380*b7*b170 + 13160*b7*b171 + 280*b7*b172 + 1400*b7*b173 + 13860*b7
    *b174 + 7840*b7*b175 + 9800*b7*b176 + 13860*b7*b177 + 8400*b7*b178 + 1470*
    b7*b179 + 3444*b7*b180 + 630*b7*b181 + 3780*b7*b182 + 3192*b7*b184 + 3822*
    b7*b185 + 546*b7*b186 + 1218*b7*b187 + 462*b7*b188 + 3234*b7*b189 + 1344*b7
    *b190 + 3654*b7*b191 + 2814*b7*b192 + 3948*b7*b193 + 84*b7*b194 + 420*b7*
    b195 + 4158*b7*b196 + 2352*b7*b197 + 2940*b7*b198 + 4158*b7*b199 + 2520*b7*
    b200 + 2590*b7*b201 + 6068*b7*b202 + 1110*b7*b203 + 6660*b7*b204 + 5624*b7*
    b206 + 6734*b7*b207 + 962*b7*b208 + 2146*b7*b209 + 814*b7*b210 + 5698*b7*
    b211 + 2368*b7*b212 + 6438*b7*b213 + 4958*b7*b214 + 6956*b7*b215 + 148*b7*
    b216 + 740*b7*b217 + 7326*b7*b218 + 4144*b7*b219 + 5180*b7*b220 + 7326*b7*
    b221 + 4440*b7*b222 + 2590*b7*b223 + 6068*b7*b224 + 1110*b7*b225 + 6660*b7*
    b226 + 5624*b7*b228 + 6734*b7*b229 + 962*b7*b230 + 2146*b7*b231 + 814*b7*
    b232 + 5698*b7*b233 + 2368*b7*b234 + 6438*b7*b235 + 4958*b7*b236 + 6956*b7*
    b237 + 148*b7*b238 + 740*b7*b239 + 7326*b7*b240 + 4144*b7*b241 + 5180*b7*
    b242 + 7326*b7*b243 + 4440*b7*b244 + 4690*b7*b245 + 10988*b7*b246 + 2010*b7
    *b247 + 12060*b7*b248 + 10184*b7*b250 + 12194*b7*b251 + 1742*b7*b252 + 3886
    *b7*b253 + 1474*b7*b254 + 10318*b7*b255 + 4288*b7*b256 + 11658*b7*b257 + 
    8978*b7*b258 + 12596*b7*b259 + 268*b7*b260 + 1340*b7*b261 + 13266*b7*b262
     + 7504*b7*b263 + 9380*b7*b264 + 13266*b7*b265 + 8040*b7*b266 + 6510*b7*
    b267 + 15252*b7*b268 + 2790*b7*b269 + 16740*b7*b270 + 14136*b7*b272 + 16926
    *b7*b273 + 2418*b7*b274 + 5394*b7*b275 + 2046*b7*b276 + 14322*b7*b277 + 
    5952*b7*b278 + 16182*b7*b279 + 12462*b7*b280 + 17484*b7*b281 + 372*b7*b282
     + 1860*b7*b283 + 18414*b7*b284 + 10416*b7*b285 + 13020*b7*b286 + 18414*b7*
    b287 + 11160*b7*b288 + 6510*b7*b289 + 15252*b7*b290 + 2790*b7*b291 + 16740*
    b7*b292 + 14136*b7*b294 + 16926*b7*b295 + 2418*b7*b296 + 5394*b7*b297 + 
    2046*b7*b298 + 14322*b7*b299 + 5952*b7*b300 + 16182*b7*b301 + 12462*b7*b302
     + 17484*b7*b303 + 372*b7*b304 + 1860*b7*b305 + 18414*b7*b306 + 10416*b7*
    b307 + 13020*b7*b308 + 18414*b7*b309 + 11160*b7*b310 + 2730*b7*b311 + 6396*
    b7*b312 + 1170*b7*b313 + 7020*b7*b314 + 5928*b7*b316 + 7098*b7*b317 + 1014*
    b7*b318 + 2262*b7*b319 + 858*b7*b320 + 6006*b7*b321 + 2496*b7*b322 + 6786*
    b7*b323 + 5226*b7*b324 + 7332*b7*b325 + 156*b7*b326 + 780*b7*b327 + 7722*b7
    *b328 + 4368*b7*b329 + 5460*b7*b330 + 7722*b7*b331 + 4680*b7*b332 + 140*b7*
    b333 + 328*b7*b334 + 60*b7*b335 + 360*b7*b336 + 304*b7*b338 + 364*b7*b339
     + 52*b7*b340 + 116*b7*b341 + 44*b7*b342 + 308*b7*b343 + 128*b7*b344 + 348*
    b7*b345 + 268*b7*b346 + 376*b7*b347 + 8*b7*b348 + 40*b7*b349 + 396*b7*b350
     + 224*b7*b351 + 280*b7*b352 + 396*b7*b353 + 240*b7*b354 + 3640*b7*b355 + 
    8528*b7*b356 + 1560*b7*b357 + 9360*b7*b358 + 7904*b7*b360 + 9464*b7*b361 + 
    1352*b7*b362 + 3016*b7*b363 + 1144*b7*b364 + 8008*b7*b365 + 3328*b7*b366 + 
    9048*b7*b367 + 6968*b7*b368 + 9776*b7*b369 + 208*b7*b370 + 1040*b7*b371 + 
    10296*b7*b372 + 5824*b7*b373 + 7280*b7*b374 + 10296*b7*b375 + 6240*b7*b376
     + 1820*b7*b377 + 4264*b7*b378 + 780*b7*b379 + 4680*b7*b380 + 3952*b7*b382
     + 4732*b7*b383 + 676*b7*b384 + 1508*b7*b385 + 572*b7*b386 + 4004*b7*b387
     + 1664*b7*b388 + 4524*b7*b389 + 3484*b7*b390 + 4888*b7*b391 + 104*b7*b392
     + 520*b7*b393 + 5148*b7*b394 + 2912*b7*b395 + 3640*b7*b396 + 5148*b7*b397
     + 3120*b7*b398 + 6300*b7*b399 + 14760*b7*b400 + 2700*b7*b401 + 16200*b7*
    b402 + 13680*b7*b404 + 16380*b7*b405 + 2340*b7*b406 + 5220*b7*b407 + 1980*
    b7*b408 + 13860*b7*b409 + 5760*b7*b410 + 15660*b7*b411 + 12060*b7*b412 + 
    16920*b7*b413 + 360*b7*b414 + 1800*b7*b415 + 17820*b7*b416 + 10080*b7*b417
     + 12600*b7*b418 + 17820*b7*b419 + 10800*b7*b420 + 1820*b7*b421 + 4264*b7*
    b422 + 780*b7*b423 + 4680*b7*b424 + 3952*b7*b426 + 4732*b7*b427 + 676*b7*
    b428 + 1508*b7*b429 + 572*b7*b430 + 4004*b7*b431 + 1664*b7*b432 + 4524*b7*
    b433 + 3484*b7*b434 + 4888*b7*b435 + 104*b7*b436 + 520*b7*b437 + 5148*b7*
    b438 + 2912*b7*b439 + 3640*b7*b440 + 5148*b7*b441 + 3120*b7*b442 + 70*b7*
    b443 + 164*b7*b444 + 30*b7*b445 + 180*b7*b446 + 152*b7*b448 + 182*b7*b449
     + 26*b7*b450 + 58*b7*b451 + 22*b7*b452 + 154*b7*b453 + 64*b7*b454 + 174*b7
    *b455 + 134*b7*b456 + 188*b7*b457 + 4*b7*b458 + 20*b7*b459 + 198*b7*b460 + 
    112*b7*b461 + 140*b7*b462 + 198*b7*b463 + 120*b7*b464 + 4760*b7*b465 + 
    11152*b7*b466 + 2040*b7*b467 + 12240*b7*b468 + 10336*b7*b470 + 12376*b7*
    b471 + 1768*b7*b472 + 3944*b7*b473 + 1496*b7*b474 + 10472*b7*b475 + 4352*b7
    *b476 + 11832*b7*b477 + 9112*b7*b478 + 12784*b7*b479 + 272*b7*b480 + 1360*
    b7*b481 + 13464*b7*b482 + 7616*b7*b483 + 9520*b7*b484 + 13464*b7*b485 + 
    8160*b7*b486 + 6510*b7*b487 + 15252*b7*b488 + 2790*b7*b489 + 16740*b7*b490
     + 14136*b7*b492 + 16926*b7*b493 + 2418*b7*b494 + 5394*b7*b495 + 2046*b7*
    b496 + 14322*b7*b497 + 5952*b7*b498 + 16182*b7*b499 + 12462*b7*b500 + 17484
    *b7*b501 + 372*b7*b502 + 1860*b7*b503 + 18414*b7*b504 + 10416*b7*b505 + 
    13020*b7*b506 + 18414*b7*b507 + 11160*b7*b508 + 490*b7*b509 + 1148*b7*b510
     + 210*b7*b511 + 1260*b7*b512 + 1064*b7*b514 + 1274*b7*b515 + 182*b7*b516
     + 406*b7*b517 + 154*b7*b518 + 1078*b7*b519 + 448*b7*b520 + 1218*b7*b521 + 
    938*b7*b522 + 1316*b7*b523 + 28*b7*b524 + 140*b7*b525 + 1386*b7*b526 + 784*
    b7*b527 + 980*b7*b528 + 1386*b7*b529 + 840*b7*b530 + 6478*b7*b531 + 12482*
    b7*b532 + 632*b7*b533 + 8036*b7*b534 + 15484*b7*b535 + 784*b7*b536 + 4920*
    b7*b537 + 9480*b7*b538 + 480*b7*b539 + 2870*b7*b540 + 5530*b7*b541 + 280*b7
    *b542 + 738*b7*b543 + 1422*b7*b544 + 72*b7*b545 + 7872*b7*b546 + 15168*b7*
    b547 + 768*b7*b548 + 5740*b7*b549 + 11060*b7*b550 + 560*b7*b551 + 1722*b7*
    b552 + 3318*b7*b553 + 168*b7*b554 + 3034*b7*b555 + 5846*b7*b556 + 296*b7*
    b557 + 3034*b7*b558 + 5846*b7*b559 + 296*b7*b560 + 5494*b7*b561 + 10586*b7*
    b562 + 536*b7*b563 + 7626*b7*b564 + 14694*b7*b565 + 744*b7*b566 + 7626*b7*
    b567 + 14694*b7*b568 + 744*b7*b569 + 3198*b7*b570 + 6162*b7*b571 + 312*b7*
    b572 + 164*b7*b573 + 316*b7*b574 + 16*b7*b575 + 4264*b7*b576 + 8216*b7*b577
     + 416*b7*b578 + 2132*b7*b579 + 4108*b7*b580 + 208*b7*b581 + 7380*b7*b582
     + 14220*b7*b583 + 720*b7*b584 + 2132*b7*b585 + 4108*b7*b586 + 208*b7*b587
     + 82*b7*b588 + 158*b7*b589 + 8*b7*b590 + 5576*b7*b591 + 10744*b7*b592 + 
    544*b7*b593 + 7626*b7*b594 + 14694*b7*b595 + 744*b7*b596 + 574*b7*b597 + 
    1106*b7*b598 + 56*b7*b599 + 15088*b7*b600 + 2760*b7*b601 + 16560*b7*b602 + 
    13984*b7*b604 + 16744*b7*b605 + 2392*b7*b606 + 5336*b7*b607 + 2024*b7*b608
     + 14168*b7*b609 + 5888*b7*b610 + 16008*b7*b611 + 12328*b7*b612 + 17296*b7*
    b613 + 14536*b7*b614 + 368*b7*b615 + 1840*b7*b616 + 18216*b7*b617 + 10304*
    b7*b618 + 12880*b7*b619 + 18216*b7*b620 + 11040*b7*b621 + 736*b7*b622 + 
    6440*b7*b623 + 12956*b8*b25 + 948*b8*b26 + 1738*b8*b27 + 10428*b8*b28 + 
    12008*b8*b29 + 8848*b8*b31 + 316*b8*b32 + 9480*b8*b33 + 11376*b8*b34 + 
    11692*b8*b35 + 7268*b8*b36 + 2054*b8*b37 + 3160*b8*b38 + 13588*b8*b39 + 
    12166*b8*b40 + 2370*b8*b41 + 14062*b8*b42 + 7584*b8*b43 + 2212*b8*b44 + 
    14062*b8*b45 + 6952*b8*b46 + 16072*b8*b47 + 1176*b8*b48 + 2156*b8*b49 + 
    12936*b8*b50 + 14896*b8*b51 + 10976*b8*b53 + 392*b8*b54 + 11760*b8*b55 + 
    14112*b8*b56 + 14504*b8*b57 + 9016*b8*b58 + 2548*b8*b59 + 3920*b8*b60 + 
    16856*b8*b61 + 15092*b8*b62 + 2940*b8*b63 + 17444*b8*b64 + 9408*b8*b65 + 
    2744*b8*b66 + 17444*b8*b67 + 8624*b8*b68 + 9840*b8*b69 + 720*b8*b70 + 1320*
    b8*b71 + 7920*b8*b72 + 9120*b8*b73 + 6720*b8*b75 + 240*b8*b76 + 7200*b8*b77
     + 8640*b8*b78 + 8880*b8*b79 + 5520*b8*b80 + 1560*b8*b81 + 2400*b8*b82 + 
    10320*b8*b83 + 9240*b8*b84 + 1800*b8*b85 + 10680*b8*b86 + 5760*b8*b87 + 
    1680*b8*b88 + 10680*b8*b89 + 5280*b8*b90 + 5740*b8*b91 + 420*b8*b92 + 770*
    b8*b93 + 4620*b8*b94 + 5320*b8*b95 + 3920*b8*b97 + 140*b8*b98 + 4200*b8*b99
     + 5040*b8*b100 + 5180*b8*b101 + 3220*b8*b102 + 910*b8*b103 + 1400*b8*b104
     + 6020*b8*b105 + 5390*b8*b106 + 1050*b8*b107 + 6230*b8*b108 + 3360*b8*b109
     + 980*b8*b110 + 6230*b8*b111 + 3080*b8*b112 + 1476*b8*b113 + 108*b8*b114
     + 198*b8*b115 + 1188*b8*b116 + 1368*b8*b117 + 1008*b8*b119 + 36*b8*b120 + 
    1080*b8*b121 + 1296*b8*b122 + 1332*b8*b123 + 828*b8*b124 + 234*b8*b125 + 
    360*b8*b126 + 1548*b8*b127 + 1386*b8*b128 + 270*b8*b129 + 1602*b8*b130 + 
    864*b8*b131 + 252*b8*b132 + 1602*b8*b133 + 792*b8*b134 + 15744*b8*b135 + 
    1152*b8*b136 + 2112*b8*b137 + 12672*b8*b138 + 14592*b8*b139 + 10752*b8*b141
     + 384*b8*b142 + 11520*b8*b143 + 13824*b8*b144 + 14208*b8*b145 + 8832*b8*
    b146 + 2496*b8*b147 + 3840*b8*b148 + 16512*b8*b149 + 14784*b8*b150 + 2880*
    b8*b151 + 17088*b8*b152 + 9216*b8*b153 + 2688*b8*b154 + 17088*b8*b155 + 
    8448*b8*b156 + 11480*b8*b157 + 840*b8*b158 + 1540*b8*b159 + 9240*b8*b160 + 
    10640*b8*b161 + 7840*b8*b163 + 280*b8*b164 + 8400*b8*b165 + 10080*b8*b166
     + 10360*b8*b167 + 6440*b8*b168 + 1820*b8*b169 + 2800*b8*b170 + 12040*b8*
    b171 + 10780*b8*b172 + 2100*b8*b173 + 12460*b8*b174 + 6720*b8*b175 + 1960*
    b8*b176 + 12460*b8*b177 + 6160*b8*b178 + 3444*b8*b179 + 252*b8*b180 + 462*
    b8*b181 + 2772*b8*b182 + 3192*b8*b183 + 2352*b8*b185 + 84*b8*b186 + 2520*b8
    *b187 + 3024*b8*b188 + 3108*b8*b189 + 1932*b8*b190 + 546*b8*b191 + 840*b8*
    b192 + 3612*b8*b193 + 3234*b8*b194 + 630*b8*b195 + 3738*b8*b196 + 2016*b8*
    b197 + 588*b8*b198 + 3738*b8*b199 + 1848*b8*b200 + 6068*b8*b201 + 444*b8*
    b202 + 814*b8*b203 + 4884*b8*b204 + 5624*b8*b205 + 4144*b8*b207 + 148*b8*
    b208 + 4440*b8*b209 + 5328*b8*b210 + 5476*b8*b211 + 3404*b8*b212 + 962*b8*
    b213 + 1480*b8*b214 + 6364*b8*b215 + 5698*b8*b216 + 1110*b8*b217 + 6586*b8*
    b218 + 3552*b8*b219 + 1036*b8*b220 + 6586*b8*b221 + 3256*b8*b222 + 6068*b8*
    b223 + 444*b8*b224 + 814*b8*b225 + 4884*b8*b226 + 5624*b8*b227 + 4144*b8*
    b229 + 148*b8*b230 + 4440*b8*b231 + 5328*b8*b232 + 5476*b8*b233 + 3404*b8*
    b234 + 962*b8*b235 + 1480*b8*b236 + 6364*b8*b237 + 5698*b8*b238 + 1110*b8*
    b239 + 6586*b8*b240 + 3552*b8*b241 + 1036*b8*b242 + 6586*b8*b243 + 3256*b8*
    b244 + 10988*b8*b245 + 804*b8*b246 + 1474*b8*b247 + 8844*b8*b248 + 10184*b8
    *b249 + 7504*b8*b251 + 268*b8*b252 + 8040*b8*b253 + 9648*b8*b254 + 9916*b8*
    b255 + 6164*b8*b256 + 1742*b8*b257 + 2680*b8*b258 + 11524*b8*b259 + 10318*
    b8*b260 + 2010*b8*b261 + 11926*b8*b262 + 6432*b8*b263 + 1876*b8*b264 + 
    11926*b8*b265 + 5896*b8*b266 + 15252*b8*b267 + 1116*b8*b268 + 2046*b8*b269
     + 12276*b8*b270 + 14136*b8*b271 + 10416*b8*b273 + 372*b8*b274 + 11160*b8*
    b275 + 13392*b8*b276 + 13764*b8*b277 + 8556*b8*b278 + 2418*b8*b279 + 3720*
    b8*b280 + 15996*b8*b281 + 14322*b8*b282 + 2790*b8*b283 + 16554*b8*b284 + 
    8928*b8*b285 + 2604*b8*b286 + 16554*b8*b287 + 8184*b8*b288 + 15252*b8*b289
     + 1116*b8*b290 + 2046*b8*b291 + 12276*b8*b292 + 14136*b8*b293 + 10416*b8*
    b295 + 372*b8*b296 + 11160*b8*b297 + 13392*b8*b298 + 13764*b8*b299 + 8556*
    b8*b300 + 2418*b8*b301 + 3720*b8*b302 + 15996*b8*b303 + 14322*b8*b304 + 
    2790*b8*b305 + 16554*b8*b306 + 8928*b8*b307 + 2604*b8*b308 + 16554*b8*b309
     + 8184*b8*b310 + 6396*b8*b311 + 468*b8*b312 + 858*b8*b313 + 5148*b8*b314
     + 5928*b8*b315 + 4368*b8*b317 + 156*b8*b318 + 4680*b8*b319 + 5616*b8*b320
     + 5772*b8*b321 + 3588*b8*b322 + 1014*b8*b323 + 1560*b8*b324 + 6708*b8*b325
     + 6006*b8*b326 + 1170*b8*b327 + 6942*b8*b328 + 3744*b8*b329 + 1092*b8*b330
     + 6942*b8*b331 + 3432*b8*b332 + 328*b8*b333 + 24*b8*b334 + 44*b8*b335 + 
    264*b8*b336 + 304*b8*b337 + 224*b8*b339 + 8*b8*b340 + 240*b8*b341 + 288*b8*
    b342 + 296*b8*b343 + 184*b8*b344 + 52*b8*b345 + 80*b8*b346 + 344*b8*b347 + 
    308*b8*b348 + 60*b8*b349 + 356*b8*b350 + 192*b8*b351 + 56*b8*b352 + 356*b8*
    b353 + 176*b8*b354 + 8528*b8*b355 + 624*b8*b356 + 1144*b8*b357 + 6864*b8*
    b358 + 7904*b8*b359 + 5824*b8*b361 + 208*b8*b362 + 6240*b8*b363 + 7488*b8*
    b364 + 7696*b8*b365 + 4784*b8*b366 + 1352*b8*b367 + 2080*b8*b368 + 8944*b8*
    b369 + 8008*b8*b370 + 1560*b8*b371 + 9256*b8*b372 + 4992*b8*b373 + 1456*b8*
    b374 + 9256*b8*b375 + 4576*b8*b376 + 4264*b8*b377 + 312*b8*b378 + 572*b8*
    b379 + 3432*b8*b380 + 3952*b8*b381 + 2912*b8*b383 + 104*b8*b384 + 3120*b8*
    b385 + 3744*b8*b386 + 3848*b8*b387 + 2392*b8*b388 + 676*b8*b389 + 1040*b8*
    b390 + 4472*b8*b391 + 4004*b8*b392 + 780*b8*b393 + 4628*b8*b394 + 2496*b8*
    b395 + 728*b8*b396 + 4628*b8*b397 + 2288*b8*b398 + 14760*b8*b399 + 1080*b8*
    b400 + 1980*b8*b401 + 11880*b8*b402 + 13680*b8*b403 + 10080*b8*b405 + 360*
    b8*b406 + 10800*b8*b407 + 12960*b8*b408 + 13320*b8*b409 + 8280*b8*b410 + 
    2340*b8*b411 + 3600*b8*b412 + 15480*b8*b413 + 13860*b8*b414 + 2700*b8*b415
     + 16020*b8*b416 + 8640*b8*b417 + 2520*b8*b418 + 16020*b8*b419 + 7920*b8*
    b420 + 4264*b8*b421 + 312*b8*b422 + 572*b8*b423 + 3432*b8*b424 + 3952*b8*
    b425 + 2912*b8*b427 + 104*b8*b428 + 3120*b8*b429 + 3744*b8*b430 + 3848*b8*
    b431 + 2392*b8*b432 + 676*b8*b433 + 1040*b8*b434 + 4472*b8*b435 + 4004*b8*
    b436 + 780*b8*b437 + 4628*b8*b438 + 2496*b8*b439 + 728*b8*b440 + 4628*b8*
    b441 + 2288*b8*b442 + 164*b8*b443 + 12*b8*b444 + 22*b8*b445 + 132*b8*b446
     + 152*b8*b447 + 112*b8*b449 + 4*b8*b450 + 120*b8*b451 + 144*b8*b452 + 148*
    b8*b453 + 92*b8*b454 + 26*b8*b455 + 40*b8*b456 + 172*b8*b457 + 154*b8*b458
     + 30*b8*b459 + 178*b8*b460 + 96*b8*b461 + 28*b8*b462 + 178*b8*b463 + 88*b8
    *b464 + 11152*b8*b465 + 816*b8*b466 + 1496*b8*b467 + 8976*b8*b468 + 10336*
    b8*b469 + 7616*b8*b471 + 272*b8*b472 + 8160*b8*b473 + 9792*b8*b474 + 10064*
    b8*b475 + 6256*b8*b476 + 1768*b8*b477 + 2720*b8*b478 + 11696*b8*b479 + 
    10472*b8*b480 + 2040*b8*b481 + 12104*b8*b482 + 6528*b8*b483 + 1904*b8*b484
     + 12104*b8*b485 + 5984*b8*b486 + 15252*b8*b487 + 1116*b8*b488 + 2046*b8*
    b489 + 12276*b8*b490 + 14136*b8*b491 + 10416*b8*b493 + 372*b8*b494 + 11160*
    b8*b495 + 13392*b8*b496 + 13764*b8*b497 + 8556*b8*b498 + 2418*b8*b499 + 
    3720*b8*b500 + 15996*b8*b501 + 14322*b8*b502 + 2790*b8*b503 + 16554*b8*b504
     + 8928*b8*b505 + 2604*b8*b506 + 16554*b8*b507 + 8184*b8*b508 + 1148*b8*
    b509 + 84*b8*b510 + 154*b8*b511 + 924*b8*b512 + 1064*b8*b513 + 784*b8*b515
     + 28*b8*b516 + 840*b8*b517 + 1008*b8*b518 + 1036*b8*b519 + 644*b8*b520 + 
    182*b8*b521 + 280*b8*b522 + 1204*b8*b523 + 1078*b8*b524 + 210*b8*b525 + 
    1246*b8*b526 + 672*b8*b527 + 196*b8*b528 + 1246*b8*b529 + 616*b8*b530 + 948
    *b8*b531 + 632*b8*b532 + 9322*b8*b533 + 1176*b8*b534 + 784*b8*b535 + 11564*
    b8*b536 + 720*b8*b537 + 480*b8*b538 + 7080*b8*b539 + 420*b8*b540 + 280*b8*
    b541 + 4130*b8*b542 + 108*b8*b543 + 72*b8*b544 + 1062*b8*b545 + 1152*b8*
    b546 + 768*b8*b547 + 11328*b8*b548 + 840*b8*b549 + 560*b8*b550 + 8260*b8*
    b551 + 252*b8*b552 + 168*b8*b553 + 2478*b8*b554 + 444*b8*b555 + 296*b8*b556
     + 4366*b8*b557 + 444*b8*b558 + 296*b8*b559 + 4366*b8*b560 + 804*b8*b561 + 
    536*b8*b562 + 7906*b8*b563 + 1116*b8*b564 + 744*b8*b565 + 10974*b8*b566 + 
    1116*b8*b567 + 744*b8*b568 + 10974*b8*b569 + 468*b8*b570 + 312*b8*b571 + 
    4602*b8*b572 + 24*b8*b573 + 16*b8*b574 + 236*b8*b575 + 624*b8*b576 + 416*b8
    *b577 + 6136*b8*b578 + 312*b8*b579 + 208*b8*b580 + 3068*b8*b581 + 1080*b8*
    b582 + 720*b8*b583 + 10620*b8*b584 + 312*b8*b585 + 208*b8*b586 + 3068*b8*
    b587 + 12*b8*b588 + 8*b8*b589 + 118*b8*b590 + 816*b8*b591 + 544*b8*b592 + 
    8024*b8*b593 + 1116*b8*b594 + 744*b8*b595 + 10974*b8*b596 + 84*b8*b597 + 56
    *b8*b598 + 826*b8*b599 + 1104*b8*b600 + 2024*b8*b601 + 12144*b8*b602 + 
    13984*b8*b603 + 10304*b8*b605 + 368*b8*b606 + 11040*b8*b607 + 13248*b8*b608
     + 13616*b8*b609 + 8464*b8*b610 + 2392*b8*b611 + 3680*b8*b612 + 15824*b8*
    b613 + 736*b8*b614 + 14168*b8*b615 + 2760*b8*b616 + 16376*b8*b617 + 8832*b8
    *b618 + 2576*b8*b619 + 16376*b8*b620 + 8096*b8*b621 + 10856*b8*b622 + 15088
    *b8*b623 + 4108*b9*b25 + 11218*b9*b26 + 5530*b9*b27 + 6478*b9*b28 + 14378*
    b9*b29 + 8848*b9*b30 + 3476*b9*b32 + 9006*b9*b33 + 9954*b9*b34 + 948*b9*b35
     + 9796*b9*b37 + 6478*b9*b38 + 9796*b9*b39 + 3950*b9*b40 + 11850*b9*b41 + 
    12008*b9*b42 + 6320*b9*b43 + 10428*b9*b44 + 9164*b9*b45 + 4740*b9*b46 + 
    5096*b9*b47 + 13916*b9*b48 + 6860*b9*b49 + 8036*b9*b50 + 17836*b9*b51 + 
    10976*b9*b52 + 4312*b9*b54 + 11172*b9*b55 + 12348*b9*b56 + 1176*b9*b57 + 
    12152*b9*b59 + 8036*b9*b60 + 12152*b9*b61 + 4900*b9*b62 + 14700*b9*b63 + 
    14896*b9*b64 + 7840*b9*b65 + 12936*b9*b66 + 11368*b9*b67 + 5880*b9*b68 + 
    3120*b9*b69 + 8520*b9*b70 + 4200*b9*b71 + 4920*b9*b72 + 10920*b9*b73 + 6720
    *b9*b74 + 2640*b9*b76 + 6840*b9*b77 + 7560*b9*b78 + 720*b9*b79 + 7440*b9*
    b81 + 4920*b9*b82 + 7440*b9*b83 + 3000*b9*b84 + 9000*b9*b85 + 9120*b9*b86
     + 4800*b9*b87 + 7920*b9*b88 + 6960*b9*b89 + 3600*b9*b90 + 1820*b9*b91 + 
    4970*b9*b92 + 2450*b9*b93 + 2870*b9*b94 + 6370*b9*b95 + 3920*b9*b96 + 1540*
    b9*b98 + 3990*b9*b99 + 4410*b9*b100 + 420*b9*b101 + 4340*b9*b103 + 2870*b9*
    b104 + 4340*b9*b105 + 1750*b9*b106 + 5250*b9*b107 + 5320*b9*b108 + 2800*b9*
    b109 + 4620*b9*b110 + 4060*b9*b111 + 2100*b9*b112 + 468*b9*b113 + 1278*b9*
    b114 + 630*b9*b115 + 738*b9*b116 + 1638*b9*b117 + 1008*b9*b118 + 396*b9*
    b120 + 1026*b9*b121 + 1134*b9*b122 + 108*b9*b123 + 1116*b9*b125 + 738*b9*
    b126 + 1116*b9*b127 + 450*b9*b128 + 1350*b9*b129 + 1368*b9*b130 + 720*b9*
    b131 + 1188*b9*b132 + 1044*b9*b133 + 540*b9*b134 + 4992*b9*b135 + 13632*b9*
    b136 + 6720*b9*b137 + 7872*b9*b138 + 17472*b9*b139 + 10752*b9*b140 + 4224*
    b9*b142 + 10944*b9*b143 + 12096*b9*b144 + 1152*b9*b145 + 11904*b9*b147 + 
    7872*b9*b148 + 11904*b9*b149 + 4800*b9*b150 + 14400*b9*b151 + 14592*b9*b152
     + 7680*b9*b153 + 12672*b9*b154 + 11136*b9*b155 + 5760*b9*b156 + 3640*b9*
    b157 + 9940*b9*b158 + 4900*b9*b159 + 5740*b9*b160 + 12740*b9*b161 + 7840*b9
    *b162 + 3080*b9*b164 + 7980*b9*b165 + 8820*b9*b166 + 840*b9*b167 + 8680*b9*
    b169 + 5740*b9*b170 + 8680*b9*b171 + 3500*b9*b172 + 10500*b9*b173 + 10640*
    b9*b174 + 5600*b9*b175 + 9240*b9*b176 + 8120*b9*b177 + 4200*b9*b178 + 1092*
    b9*b179 + 2982*b9*b180 + 1470*b9*b181 + 1722*b9*b182 + 3822*b9*b183 + 2352*
    b9*b184 + 924*b9*b186 + 2394*b9*b187 + 2646*b9*b188 + 252*b9*b189 + 2604*b9
    *b191 + 1722*b9*b192 + 2604*b9*b193 + 1050*b9*b194 + 3150*b9*b195 + 3192*b9
    *b196 + 1680*b9*b197 + 2772*b9*b198 + 2436*b9*b199 + 1260*b9*b200 + 1924*b9
    *b201 + 5254*b9*b202 + 2590*b9*b203 + 3034*b9*b204 + 6734*b9*b205 + 4144*b9
    *b206 + 1628*b9*b208 + 4218*b9*b209 + 4662*b9*b210 + 444*b9*b211 + 4588*b9*
    b213 + 3034*b9*b214 + 4588*b9*b215 + 1850*b9*b216 + 5550*b9*b217 + 5624*b9*
    b218 + 2960*b9*b219 + 4884*b9*b220 + 4292*b9*b221 + 2220*b9*b222 + 1924*b9*
    b223 + 5254*b9*b224 + 2590*b9*b225 + 3034*b9*b226 + 6734*b9*b227 + 4144*b9*
    b228 + 1628*b9*b230 + 4218*b9*b231 + 4662*b9*b232 + 444*b9*b233 + 4588*b9*
    b235 + 3034*b9*b236 + 4588*b9*b237 + 1850*b9*b238 + 5550*b9*b239 + 5624*b9*
    b240 + 2960*b9*b241 + 4884*b9*b242 + 4292*b9*b243 + 2220*b9*b244 + 3484*b9*
    b245 + 9514*b9*b246 + 4690*b9*b247 + 5494*b9*b248 + 12194*b9*b249 + 7504*b9
    *b250 + 2948*b9*b252 + 7638*b9*b253 + 8442*b9*b254 + 804*b9*b255 + 8308*b9*
    b257 + 5494*b9*b258 + 8308*b9*b259 + 3350*b9*b260 + 10050*b9*b261 + 10184*
    b9*b262 + 5360*b9*b263 + 8844*b9*b264 + 7772*b9*b265 + 4020*b9*b266 + 4836*
    b9*b267 + 13206*b9*b268 + 6510*b9*b269 + 7626*b9*b270 + 16926*b9*b271 + 
    10416*b9*b272 + 4092*b9*b274 + 10602*b9*b275 + 11718*b9*b276 + 1116*b9*b277
     + 11532*b9*b279 + 7626*b9*b280 + 11532*b9*b281 + 4650*b9*b282 + 13950*b9*
    b283 + 14136*b9*b284 + 7440*b9*b285 + 12276*b9*b286 + 10788*b9*b287 + 5580*
    b9*b288 + 4836*b9*b289 + 13206*b9*b290 + 6510*b9*b291 + 7626*b9*b292 + 
    16926*b9*b293 + 10416*b9*b294 + 4092*b9*b296 + 10602*b9*b297 + 11718*b9*
    b298 + 1116*b9*b299 + 11532*b9*b301 + 7626*b9*b302 + 11532*b9*b303 + 4650*
    b9*b304 + 13950*b9*b305 + 14136*b9*b306 + 7440*b9*b307 + 12276*b9*b308 + 
    10788*b9*b309 + 5580*b9*b310 + 2028*b9*b311 + 5538*b9*b312 + 2730*b9*b313
     + 3198*b9*b314 + 7098*b9*b315 + 4368*b9*b316 + 1716*b9*b318 + 4446*b9*b319
     + 4914*b9*b320 + 468*b9*b321 + 4836*b9*b323 + 3198*b9*b324 + 4836*b9*b325
     + 1950*b9*b326 + 5850*b9*b327 + 5928*b9*b328 + 3120*b9*b329 + 5148*b9*b330
     + 4524*b9*b331 + 2340*b9*b332 + 104*b9*b333 + 284*b9*b334 + 140*b9*b335 + 
    164*b9*b336 + 364*b9*b337 + 224*b9*b338 + 88*b9*b340 + 228*b9*b341 + 252*b9
    *b342 + 24*b9*b343 + 248*b9*b345 + 164*b9*b346 + 248*b9*b347 + 100*b9*b348
     + 300*b9*b349 + 304*b9*b350 + 160*b9*b351 + 264*b9*b352 + 232*b9*b353 + 
    120*b9*b354 + 2704*b9*b355 + 7384*b9*b356 + 3640*b9*b357 + 4264*b9*b358 + 
    9464*b9*b359 + 5824*b9*b360 + 2288*b9*b362 + 5928*b9*b363 + 6552*b9*b364 + 
    624*b9*b365 + 6448*b9*b367 + 4264*b9*b368 + 6448*b9*b369 + 2600*b9*b370 + 
    7800*b9*b371 + 7904*b9*b372 + 4160*b9*b373 + 6864*b9*b374 + 6032*b9*b375 + 
    3120*b9*b376 + 1352*b9*b377 + 3692*b9*b378 + 1820*b9*b379 + 2132*b9*b380 + 
    4732*b9*b381 + 2912*b9*b382 + 1144*b9*b384 + 2964*b9*b385 + 3276*b9*b386 + 
    312*b9*b387 + 3224*b9*b389 + 2132*b9*b390 + 3224*b9*b391 + 1300*b9*b392 + 
    3900*b9*b393 + 3952*b9*b394 + 2080*b9*b395 + 3432*b9*b396 + 3016*b9*b397 + 
    1560*b9*b398 + 4680*b9*b399 + 12780*b9*b400 + 6300*b9*b401 + 7380*b9*b402
     + 16380*b9*b403 + 10080*b9*b404 + 3960*b9*b406 + 10260*b9*b407 + 11340*b9*
    b408 + 1080*b9*b409 + 11160*b9*b411 + 7380*b9*b412 + 11160*b9*b413 + 4500*
    b9*b414 + 13500*b9*b415 + 13680*b9*b416 + 7200*b9*b417 + 11880*b9*b418 + 
    10440*b9*b419 + 5400*b9*b420 + 1352*b9*b421 + 3692*b9*b422 + 1820*b9*b423
     + 2132*b9*b424 + 4732*b9*b425 + 2912*b9*b426 + 1144*b9*b428 + 2964*b9*b429
     + 3276*b9*b430 + 312*b9*b431 + 3224*b9*b433 + 2132*b9*b434 + 3224*b9*b435
     + 1300*b9*b436 + 3900*b9*b437 + 3952*b9*b438 + 2080*b9*b439 + 3432*b9*b440
     + 3016*b9*b441 + 1560*b9*b442 + 52*b9*b443 + 142*b9*b444 + 70*b9*b445 + 82
    *b9*b446 + 182*b9*b447 + 112*b9*b448 + 44*b9*b450 + 114*b9*b451 + 126*b9*
    b452 + 12*b9*b453 + 124*b9*b455 + 82*b9*b456 + 124*b9*b457 + 50*b9*b458 + 
    150*b9*b459 + 152*b9*b460 + 80*b9*b461 + 132*b9*b462 + 116*b9*b463 + 60*b9*
    b464 + 3536*b9*b465 + 9656*b9*b466 + 4760*b9*b467 + 5576*b9*b468 + 12376*b9
    *b469 + 7616*b9*b470 + 2992*b9*b472 + 7752*b9*b473 + 8568*b9*b474 + 816*b9*
    b475 + 8432*b9*b477 + 5576*b9*b478 + 8432*b9*b479 + 3400*b9*b480 + 10200*b9
    *b481 + 10336*b9*b482 + 5440*b9*b483 + 8976*b9*b484 + 7888*b9*b485 + 4080*
    b9*b486 + 4836*b9*b487 + 13206*b9*b488 + 6510*b9*b489 + 7626*b9*b490 + 
    16926*b9*b491 + 10416*b9*b492 + 4092*b9*b494 + 10602*b9*b495 + 11718*b9*
    b496 + 1116*b9*b497 + 11532*b9*b499 + 7626*b9*b500 + 11532*b9*b501 + 4650*
    b9*b502 + 13950*b9*b503 + 14136*b9*b504 + 7440*b9*b505 + 12276*b9*b506 + 
    10788*b9*b507 + 5580*b9*b508 + 364*b9*b509 + 994*b9*b510 + 490*b9*b511 + 
    574*b9*b512 + 1274*b9*b513 + 784*b9*b514 + 308*b9*b516 + 798*b9*b517 + 882*
    b9*b518 + 84*b9*b519 + 868*b9*b521 + 574*b9*b522 + 868*b9*b523 + 350*b9*
    b524 + 1050*b9*b525 + 1064*b9*b526 + 560*b9*b527 + 924*b9*b528 + 812*b9*
    b529 + 420*b9*b530 + 3950*b9*b531 + 7268*b9*b532 + 10744*b9*b533 + 4900*b9*
    b534 + 9016*b9*b535 + 13328*b9*b536 + 3000*b9*b537 + 5520*b9*b538 + 8160*b9
    *b539 + 1750*b9*b540 + 3220*b9*b541 + 4760*b9*b542 + 450*b9*b543 + 828*b9*
    b544 + 1224*b9*b545 + 4800*b9*b546 + 8832*b9*b547 + 13056*b9*b548 + 3500*b9
    *b549 + 6440*b9*b550 + 9520*b9*b551 + 1050*b9*b552 + 1932*b9*b553 + 2856*b9
    *b554 + 1850*b9*b555 + 3404*b9*b556 + 5032*b9*b557 + 1850*b9*b558 + 3404*b9
    *b559 + 5032*b9*b560 + 3350*b9*b561 + 6164*b9*b562 + 9112*b9*b563 + 4650*b9
    *b564 + 8556*b9*b565 + 12648*b9*b566 + 4650*b9*b567 + 8556*b9*b568 + 12648*
    b9*b569 + 1950*b9*b570 + 3588*b9*b571 + 5304*b9*b572 + 100*b9*b573 + 184*b9
    *b574 + 272*b9*b575 + 2600*b9*b576 + 4784*b9*b577 + 7072*b9*b578 + 1300*b9*
    b579 + 2392*b9*b580 + 3536*b9*b581 + 4500*b9*b582 + 8280*b9*b583 + 12240*b9
    *b584 + 1300*b9*b585 + 2392*b9*b586 + 3536*b9*b587 + 50*b9*b588 + 92*b9*
    b589 + 136*b9*b590 + 3400*b9*b591 + 6256*b9*b592 + 9248*b9*b593 + 4650*b9*
    b594 + 8556*b9*b595 + 12648*b9*b596 + 350*b9*b597 + 644*b9*b598 + 952*b9*
    b599 + 13064*b9*b600 + 6440*b9*b601 + 7544*b9*b602 + 16744*b9*b603 + 10304*
    b9*b604 + 4048*b9*b606 + 10488*b9*b607 + 11592*b9*b608 + 1104*b9*b609 + 
    11408*b9*b611 + 7544*b9*b612 + 11408*b9*b613 + 8464*b9*b614 + 4600*b9*b615
     + 13800*b9*b616 + 13984*b9*b617 + 7360*b9*b618 + 12144*b9*b619 + 10672*b9*
    b620 + 5520*b9*b621 + 12512*b9*b622 + 4784*b9*b623 + 10902*b10*b25 + 1264*
    b10*b26 + 1738*b10*b27 + 2370*b10*b28 + 2054*b10*b29 + 316*b10*b30 + 3476*
    b10*b31 + 12324*b10*b33 + 14378*b10*b34 + 2054*b10*b35 + 9322*b10*b36 + 
    7742*b10*b37 + 13430*b10*b38 + 13272*b10*b39 + 6004*b10*b40 + 6478*b10*b41
     + 8848*b10*b42 + 6162*b10*b43 + 8374*b10*b44 + 12166*b10*b45 + 7900*b10*
    b46 + 13524*b10*b47 + 1568*b10*b48 + 2156*b10*b49 + 2940*b10*b50 + 2548*b10
    *b51 + 392*b10*b52 + 4312*b10*b53 + 15288*b10*b55 + 17836*b10*b56 + 2548*
    b10*b57 + 11564*b10*b58 + 9604*b10*b59 + 16660*b10*b60 + 16464*b10*b61 + 
    7448*b10*b62 + 8036*b10*b63 + 10976*b10*b64 + 7644*b10*b65 + 10388*b10*b66
     + 15092*b10*b67 + 9800*b10*b68 + 8280*b10*b69 + 960*b10*b70 + 1320*b10*b71
     + 1800*b10*b72 + 1560*b10*b73 + 240*b10*b74 + 2640*b10*b75 + 9360*b10*b77
     + 10920*b10*b78 + 1560*b10*b79 + 7080*b10*b80 + 5880*b10*b81 + 10200*b10*
    b82 + 10080*b10*b83 + 4560*b10*b84 + 4920*b10*b85 + 6720*b10*b86 + 4680*b10
    *b87 + 6360*b10*b88 + 9240*b10*b89 + 6000*b10*b90 + 4830*b10*b91 + 560*b10*
    b92 + 770*b10*b93 + 1050*b10*b94 + 910*b10*b95 + 140*b10*b96 + 1540*b10*b97
     + 5460*b10*b99 + 6370*b10*b100 + 910*b10*b101 + 4130*b10*b102 + 3430*b10*
    b103 + 5950*b10*b104 + 5880*b10*b105 + 2660*b10*b106 + 2870*b10*b107 + 3920
    *b10*b108 + 2730*b10*b109 + 3710*b10*b110 + 5390*b10*b111 + 3500*b10*b112
     + 1242*b10*b113 + 144*b10*b114 + 198*b10*b115 + 270*b10*b116 + 234*b10*
    b117 + 36*b10*b118 + 396*b10*b119 + 1404*b10*b121 + 1638*b10*b122 + 234*b10
    *b123 + 1062*b10*b124 + 882*b10*b125 + 1530*b10*b126 + 1512*b10*b127 + 684*
    b10*b128 + 738*b10*b129 + 1008*b10*b130 + 702*b10*b131 + 954*b10*b132 + 
    1386*b10*b133 + 900*b10*b134 + 13248*b10*b135 + 1536*b10*b136 + 2112*b10*
    b137 + 2880*b10*b138 + 2496*b10*b139 + 384*b10*b140 + 4224*b10*b141 + 14976
    *b10*b143 + 17472*b10*b144 + 2496*b10*b145 + 11328*b10*b146 + 9408*b10*b147
     + 16320*b10*b148 + 16128*b10*b149 + 7296*b10*b150 + 7872*b10*b151 + 10752*
    b10*b152 + 7488*b10*b153 + 10176*b10*b154 + 14784*b10*b155 + 9600*b10*b156
     + 9660*b10*b157 + 1120*b10*b158 + 1540*b10*b159 + 2100*b10*b160 + 1820*b10
    *b161 + 280*b10*b162 + 3080*b10*b163 + 10920*b10*b165 + 12740*b10*b166 + 
    1820*b10*b167 + 8260*b10*b168 + 6860*b10*b169 + 11900*b10*b170 + 11760*b10*
    b171 + 5320*b10*b172 + 5740*b10*b173 + 7840*b10*b174 + 5460*b10*b175 + 7420
    *b10*b176 + 10780*b10*b177 + 7000*b10*b178 + 2898*b10*b179 + 336*b10*b180
     + 462*b10*b181 + 630*b10*b182 + 546*b10*b183 + 84*b10*b184 + 924*b10*b185
     + 3276*b10*b187 + 3822*b10*b188 + 546*b10*b189 + 2478*b10*b190 + 2058*b10*
    b191 + 3570*b10*b192 + 3528*b10*b193 + 1596*b10*b194 + 1722*b10*b195 + 2352
    *b10*b196 + 1638*b10*b197 + 2226*b10*b198 + 3234*b10*b199 + 2100*b10*b200
     + 5106*b10*b201 + 592*b10*b202 + 814*b10*b203 + 1110*b10*b204 + 962*b10*
    b205 + 148*b10*b206 + 1628*b10*b207 + 5772*b10*b209 + 6734*b10*b210 + 962*
    b10*b211 + 4366*b10*b212 + 3626*b10*b213 + 6290*b10*b214 + 6216*b10*b215 + 
    2812*b10*b216 + 3034*b10*b217 + 4144*b10*b218 + 2886*b10*b219 + 3922*b10*
    b220 + 5698*b10*b221 + 3700*b10*b222 + 5106*b10*b223 + 592*b10*b224 + 814*
    b10*b225 + 1110*b10*b226 + 962*b10*b227 + 148*b10*b228 + 1628*b10*b229 + 
    5772*b10*b231 + 6734*b10*b232 + 962*b10*b233 + 4366*b10*b234 + 3626*b10*
    b235 + 6290*b10*b236 + 6216*b10*b237 + 2812*b10*b238 + 3034*b10*b239 + 4144
    *b10*b240 + 2886*b10*b241 + 3922*b10*b242 + 5698*b10*b243 + 3700*b10*b244
     + 9246*b10*b245 + 1072*b10*b246 + 1474*b10*b247 + 2010*b10*b248 + 1742*b10
    *b249 + 268*b10*b250 + 2948*b10*b251 + 10452*b10*b253 + 12194*b10*b254 + 
    1742*b10*b255 + 7906*b10*b256 + 6566*b10*b257 + 11390*b10*b258 + 11256*b10*
    b259 + 5092*b10*b260 + 5494*b10*b261 + 7504*b10*b262 + 5226*b10*b263 + 7102
    *b10*b264 + 10318*b10*b265 + 6700*b10*b266 + 12834*b10*b267 + 1488*b10*b268
     + 2046*b10*b269 + 2790*b10*b270 + 2418*b10*b271 + 372*b10*b272 + 4092*b10*
    b273 + 14508*b10*b275 + 16926*b10*b276 + 2418*b10*b277 + 10974*b10*b278 + 
    9114*b10*b279 + 15810*b10*b280 + 15624*b10*b281 + 7068*b10*b282 + 7626*b10*
    b283 + 10416*b10*b284 + 7254*b10*b285 + 9858*b10*b286 + 14322*b10*b287 + 
    9300*b10*b288 + 12834*b10*b289 + 1488*b10*b290 + 2046*b10*b291 + 2790*b10*
    b292 + 2418*b10*b293 + 372*b10*b294 + 4092*b10*b295 + 14508*b10*b297 + 
    16926*b10*b298 + 2418*b10*b299 + 10974*b10*b300 + 9114*b10*b301 + 15810*b10
    *b302 + 15624*b10*b303 + 7068*b10*b304 + 7626*b10*b305 + 10416*b10*b306 + 
    7254*b10*b307 + 9858*b10*b308 + 14322*b10*b309 + 9300*b10*b310 + 5382*b10*
    b311 + 624*b10*b312 + 858*b10*b313 + 1170*b10*b314 + 1014*b10*b315 + 156*
    b10*b316 + 1716*b10*b317 + 6084*b10*b319 + 7098*b10*b320 + 1014*b10*b321 + 
    4602*b10*b322 + 3822*b10*b323 + 6630*b10*b324 + 6552*b10*b325 + 2964*b10*
    b326 + 3198*b10*b327 + 4368*b10*b328 + 3042*b10*b329 + 4134*b10*b330 + 6006
    *b10*b331 + 3900*b10*b332 + 276*b10*b333 + 32*b10*b334 + 44*b10*b335 + 60*
    b10*b336 + 52*b10*b337 + 8*b10*b338 + 88*b10*b339 + 312*b10*b341 + 364*b10*
    b342 + 52*b10*b343 + 236*b10*b344 + 196*b10*b345 + 340*b10*b346 + 336*b10*
    b347 + 152*b10*b348 + 164*b10*b349 + 224*b10*b350 + 156*b10*b351 + 212*b10*
    b352 + 308*b10*b353 + 200*b10*b354 + 7176*b10*b355 + 832*b10*b356 + 1144*
    b10*b357 + 1560*b10*b358 + 1352*b10*b359 + 208*b10*b360 + 2288*b10*b361 + 
    8112*b10*b363 + 9464*b10*b364 + 1352*b10*b365 + 6136*b10*b366 + 5096*b10*
    b367 + 8840*b10*b368 + 8736*b10*b369 + 3952*b10*b370 + 4264*b10*b371 + 5824
    *b10*b372 + 4056*b10*b373 + 5512*b10*b374 + 8008*b10*b375 + 5200*b10*b376
     + 3588*b10*b377 + 416*b10*b378 + 572*b10*b379 + 780*b10*b380 + 676*b10*
    b381 + 104*b10*b382 + 1144*b10*b383 + 4056*b10*b385 + 4732*b10*b386 + 676*
    b10*b387 + 3068*b10*b388 + 2548*b10*b389 + 4420*b10*b390 + 4368*b10*b391 + 
    1976*b10*b392 + 2132*b10*b393 + 2912*b10*b394 + 2028*b10*b395 + 2756*b10*
    b396 + 4004*b10*b397 + 2600*b10*b398 + 12420*b10*b399 + 1440*b10*b400 + 
    1980*b10*b401 + 2700*b10*b402 + 2340*b10*b403 + 360*b10*b404 + 3960*b10*
    b405 + 14040*b10*b407 + 16380*b10*b408 + 2340*b10*b409 + 10620*b10*b410 + 
    8820*b10*b411 + 15300*b10*b412 + 15120*b10*b413 + 6840*b10*b414 + 7380*b10*
    b415 + 10080*b10*b416 + 7020*b10*b417 + 9540*b10*b418 + 13860*b10*b419 + 
    9000*b10*b420 + 3588*b10*b421 + 416*b10*b422 + 572*b10*b423 + 780*b10*b424
     + 676*b10*b425 + 104*b10*b426 + 1144*b10*b427 + 4056*b10*b429 + 4732*b10*
    b430 + 676*b10*b431 + 3068*b10*b432 + 2548*b10*b433 + 4420*b10*b434 + 4368*
    b10*b435 + 1976*b10*b436 + 2132*b10*b437 + 2912*b10*b438 + 2028*b10*b439 + 
    2756*b10*b440 + 4004*b10*b441 + 2600*b10*b442 + 138*b10*b443 + 16*b10*b444
     + 22*b10*b445 + 30*b10*b446 + 26*b10*b447 + 4*b10*b448 + 44*b10*b449 + 156
    *b10*b451 + 182*b10*b452 + 26*b10*b453 + 118*b10*b454 + 98*b10*b455 + 170*
    b10*b456 + 168*b10*b457 + 76*b10*b458 + 82*b10*b459 + 112*b10*b460 + 78*b10
    *b461 + 106*b10*b462 + 154*b10*b463 + 100*b10*b464 + 9384*b10*b465 + 1088*
    b10*b466 + 1496*b10*b467 + 2040*b10*b468 + 1768*b10*b469 + 272*b10*b470 + 
    2992*b10*b471 + 10608*b10*b473 + 12376*b10*b474 + 1768*b10*b475 + 8024*b10*
    b476 + 6664*b10*b477 + 11560*b10*b478 + 11424*b10*b479 + 5168*b10*b480 + 
    5576*b10*b481 + 7616*b10*b482 + 5304*b10*b483 + 7208*b10*b484 + 10472*b10*
    b485 + 6800*b10*b486 + 12834*b10*b487 + 1488*b10*b488 + 2046*b10*b489 + 
    2790*b10*b490 + 2418*b10*b491 + 372*b10*b492 + 4092*b10*b493 + 14508*b10*
    b495 + 16926*b10*b496 + 2418*b10*b497 + 10974*b10*b498 + 9114*b10*b499 + 
    15810*b10*b500 + 15624*b10*b501 + 7068*b10*b502 + 7626*b10*b503 + 10416*b10
    *b504 + 7254*b10*b505 + 9858*b10*b506 + 14322*b10*b507 + 9300*b10*b508 + 
    966*b10*b509 + 112*b10*b510 + 154*b10*b511 + 210*b10*b512 + 182*b10*b513 + 
    28*b10*b514 + 308*b10*b515 + 1092*b10*b517 + 1274*b10*b518 + 182*b10*b519
     + 826*b10*b520 + 686*b10*b521 + 1190*b10*b522 + 1176*b10*b523 + 532*b10*
    b524 + 574*b10*b525 + 784*b10*b526 + 546*b10*b527 + 742*b10*b528 + 1078*b10
    *b529 + 700*b10*b530 + 1580*b10*b531 + 1264*b10*b532 + 4740*b10*b533 + 1960
    *b10*b534 + 1568*b10*b535 + 5880*b10*b536 + 1200*b10*b537 + 960*b10*b538 + 
    3600*b10*b539 + 700*b10*b540 + 560*b10*b541 + 2100*b10*b542 + 180*b10*b543
     + 144*b10*b544 + 540*b10*b545 + 1920*b10*b546 + 1536*b10*b547 + 5760*b10*
    b548 + 1400*b10*b549 + 1120*b10*b550 + 4200*b10*b551 + 420*b10*b552 + 336*
    b10*b553 + 1260*b10*b554 + 740*b10*b555 + 592*b10*b556 + 2220*b10*b557 + 
    740*b10*b558 + 592*b10*b559 + 2220*b10*b560 + 1340*b10*b561 + 1072*b10*b562
     + 4020*b10*b563 + 1860*b10*b564 + 1488*b10*b565 + 5580*b10*b566 + 1860*b10
    *b567 + 1488*b10*b568 + 5580*b10*b569 + 780*b10*b570 + 624*b10*b571 + 2340*
    b10*b572 + 40*b10*b573 + 32*b10*b574 + 120*b10*b575 + 1040*b10*b576 + 832*
    b10*b577 + 3120*b10*b578 + 520*b10*b579 + 416*b10*b580 + 1560*b10*b581 + 
    1800*b10*b582 + 1440*b10*b583 + 5400*b10*b584 + 520*b10*b585 + 416*b10*b586
     + 1560*b10*b587 + 20*b10*b588 + 16*b10*b589 + 60*b10*b590 + 1360*b10*b591
     + 1088*b10*b592 + 4080*b10*b593 + 1860*b10*b594 + 1488*b10*b595 + 5580*b10
    *b596 + 140*b10*b597 + 112*b10*b598 + 420*b10*b599 + 1472*b10*b600 + 2024*
    b10*b601 + 2760*b10*b602 + 2392*b10*b603 + 368*b10*b604 + 4048*b10*b605 + 
    14352*b10*b607 + 16744*b10*b608 + 2392*b10*b609 + 10856*b10*b610 + 9016*b10
    *b611 + 15640*b10*b612 + 15456*b10*b613 + 1472*b10*b614 + 6992*b10*b615 + 
    7544*b10*b616 + 10304*b10*b617 + 7176*b10*b618 + 9752*b10*b619 + 14168*b10*
    b620 + 9200*b10*b621 + 5520*b10*b622 + 12696*b10*b623 + 8848*b11*b25 + 
    12166*b11*b26 + 3160*b11*b27 + 13114*b11*b28 + 4582*b11*b29 + 9480*b11*b30
     + 9006*b11*b31 + 12324*b11*b32 + 9164*b11*b34 + 8690*b11*b35 + 3002*b11*
    b36 + 13430*b11*b37 + 8216*b11*b38 + 5372*b11*b39 + 6320*b11*b40 + 10902*
    b11*b41 + 1896*b11*b42 + 13430*b11*b43 + 11376*b11*b44 + 1106*b11*b45 + 
    7742*b11*b46 + 10976*b11*b47 + 15092*b11*b48 + 3920*b11*b49 + 16268*b11*b50
     + 5684*b11*b51 + 11760*b11*b52 + 11172*b11*b53 + 15288*b11*b54 + 11368*b11
    *b56 + 10780*b11*b57 + 3724*b11*b58 + 16660*b11*b59 + 10192*b11*b60 + 6664*
    b11*b61 + 7840*b11*b62 + 13524*b11*b63 + 2352*b11*b64 + 16660*b11*b65 + 
    14112*b11*b66 + 1372*b11*b67 + 9604*b11*b68 + 6720*b11*b69 + 9240*b11*b70
     + 2400*b11*b71 + 9960*b11*b72 + 3480*b11*b73 + 7200*b11*b74 + 6840*b11*b75
     + 9360*b11*b76 + 6960*b11*b78 + 6600*b11*b79 + 2280*b11*b80 + 10200*b11*
    b81 + 6240*b11*b82 + 4080*b11*b83 + 4800*b11*b84 + 8280*b11*b85 + 1440*b11*
    b86 + 10200*b11*b87 + 8640*b11*b88 + 840*b11*b89 + 5880*b11*b90 + 3920*b11*
    b91 + 5390*b11*b92 + 1400*b11*b93 + 5810*b11*b94 + 2030*b11*b95 + 4200*b11*
    b96 + 3990*b11*b97 + 5460*b11*b98 + 4060*b11*b100 + 3850*b11*b101 + 1330*
    b11*b102 + 5950*b11*b103 + 3640*b11*b104 + 2380*b11*b105 + 2800*b11*b106 + 
    4830*b11*b107 + 840*b11*b108 + 5950*b11*b109 + 5040*b11*b110 + 490*b11*b111
     + 3430*b11*b112 + 1008*b11*b113 + 1386*b11*b114 + 360*b11*b115 + 1494*b11*
    b116 + 522*b11*b117 + 1080*b11*b118 + 1026*b11*b119 + 1404*b11*b120 + 1044*
    b11*b122 + 990*b11*b123 + 342*b11*b124 + 1530*b11*b125 + 936*b11*b126 + 612
    *b11*b127 + 720*b11*b128 + 1242*b11*b129 + 216*b11*b130 + 1530*b11*b131 + 
    1296*b11*b132 + 126*b11*b133 + 882*b11*b134 + 10752*b11*b135 + 14784*b11*
    b136 + 3840*b11*b137 + 15936*b11*b138 + 5568*b11*b139 + 11520*b11*b140 + 
    10944*b11*b141 + 14976*b11*b142 + 11136*b11*b144 + 10560*b11*b145 + 3648*
    b11*b146 + 16320*b11*b147 + 9984*b11*b148 + 6528*b11*b149 + 7680*b11*b150
     + 13248*b11*b151 + 2304*b11*b152 + 16320*b11*b153 + 13824*b11*b154 + 1344*
    b11*b155 + 9408*b11*b156 + 7840*b11*b157 + 10780*b11*b158 + 2800*b11*b159
     + 11620*b11*b160 + 4060*b11*b161 + 8400*b11*b162 + 7980*b11*b163 + 10920*
    b11*b164 + 8120*b11*b166 + 7700*b11*b167 + 2660*b11*b168 + 11900*b11*b169
     + 7280*b11*b170 + 4760*b11*b171 + 5600*b11*b172 + 9660*b11*b173 + 1680*b11
    *b174 + 11900*b11*b175 + 10080*b11*b176 + 980*b11*b177 + 6860*b11*b178 + 
    2352*b11*b179 + 3234*b11*b180 + 840*b11*b181 + 3486*b11*b182 + 1218*b11*
    b183 + 2520*b11*b184 + 2394*b11*b185 + 3276*b11*b186 + 2436*b11*b188 + 2310
    *b11*b189 + 798*b11*b190 + 3570*b11*b191 + 2184*b11*b192 + 1428*b11*b193 + 
    1680*b11*b194 + 2898*b11*b195 + 504*b11*b196 + 3570*b11*b197 + 3024*b11*
    b198 + 294*b11*b199 + 2058*b11*b200 + 4144*b11*b201 + 5698*b11*b202 + 1480*
    b11*b203 + 6142*b11*b204 + 2146*b11*b205 + 4440*b11*b206 + 4218*b11*b207 + 
    5772*b11*b208 + 4292*b11*b210 + 4070*b11*b211 + 1406*b11*b212 + 6290*b11*
    b213 + 3848*b11*b214 + 2516*b11*b215 + 2960*b11*b216 + 5106*b11*b217 + 888*
    b11*b218 + 6290*b11*b219 + 5328*b11*b220 + 518*b11*b221 + 3626*b11*b222 + 
    4144*b11*b223 + 5698*b11*b224 + 1480*b11*b225 + 6142*b11*b226 + 2146*b11*
    b227 + 4440*b11*b228 + 4218*b11*b229 + 5772*b11*b230 + 4292*b11*b232 + 4070
    *b11*b233 + 1406*b11*b234 + 6290*b11*b235 + 3848*b11*b236 + 2516*b11*b237
     + 2960*b11*b238 + 5106*b11*b239 + 888*b11*b240 + 6290*b11*b241 + 5328*b11*
    b242 + 518*b11*b243 + 3626*b11*b244 + 7504*b11*b245 + 10318*b11*b246 + 2680
    *b11*b247 + 11122*b11*b248 + 3886*b11*b249 + 8040*b11*b250 + 7638*b11*b251
     + 10452*b11*b252 + 7772*b11*b254 + 7370*b11*b255 + 2546*b11*b256 + 11390*
    b11*b257 + 6968*b11*b258 + 4556*b11*b259 + 5360*b11*b260 + 9246*b11*b261 + 
    1608*b11*b262 + 11390*b11*b263 + 9648*b11*b264 + 938*b11*b265 + 6566*b11*
    b266 + 10416*b11*b267 + 14322*b11*b268 + 3720*b11*b269 + 15438*b11*b270 + 
    5394*b11*b271 + 11160*b11*b272 + 10602*b11*b273 + 14508*b11*b274 + 10788*
    b11*b276 + 10230*b11*b277 + 3534*b11*b278 + 15810*b11*b279 + 9672*b11*b280
     + 6324*b11*b281 + 7440*b11*b282 + 12834*b11*b283 + 2232*b11*b284 + 15810*
    b11*b285 + 13392*b11*b286 + 1302*b11*b287 + 9114*b11*b288 + 10416*b11*b289
     + 14322*b11*b290 + 3720*b11*b291 + 15438*b11*b292 + 5394*b11*b293 + 11160*
    b11*b294 + 10602*b11*b295 + 14508*b11*b296 + 10788*b11*b298 + 10230*b11*
    b299 + 3534*b11*b300 + 15810*b11*b301 + 9672*b11*b302 + 6324*b11*b303 + 
    7440*b11*b304 + 12834*b11*b305 + 2232*b11*b306 + 15810*b11*b307 + 13392*b11
    *b308 + 1302*b11*b309 + 9114*b11*b310 + 4368*b11*b311 + 6006*b11*b312 + 
    1560*b11*b313 + 6474*b11*b314 + 2262*b11*b315 + 4680*b11*b316 + 4446*b11*
    b317 + 6084*b11*b318 + 4524*b11*b320 + 4290*b11*b321 + 1482*b11*b322 + 6630
    *b11*b323 + 4056*b11*b324 + 2652*b11*b325 + 3120*b11*b326 + 5382*b11*b327
     + 936*b11*b328 + 6630*b11*b329 + 5616*b11*b330 + 546*b11*b331 + 3822*b11*
    b332 + 224*b11*b333 + 308*b11*b334 + 80*b11*b335 + 332*b11*b336 + 116*b11*
    b337 + 240*b11*b338 + 228*b11*b339 + 312*b11*b340 + 232*b11*b342 + 220*b11*
    b343 + 76*b11*b344 + 340*b11*b345 + 208*b11*b346 + 136*b11*b347 + 160*b11*
    b348 + 276*b11*b349 + 48*b11*b350 + 340*b11*b351 + 288*b11*b352 + 28*b11*
    b353 + 196*b11*b354 + 5824*b11*b355 + 8008*b11*b356 + 2080*b11*b357 + 8632*
    b11*b358 + 3016*b11*b359 + 6240*b11*b360 + 5928*b11*b361 + 8112*b11*b362 + 
    6032*b11*b364 + 5720*b11*b365 + 1976*b11*b366 + 8840*b11*b367 + 5408*b11*
    b368 + 3536*b11*b369 + 4160*b11*b370 + 7176*b11*b371 + 1248*b11*b372 + 8840
    *b11*b373 + 7488*b11*b374 + 728*b11*b375 + 5096*b11*b376 + 2912*b11*b377 + 
    4004*b11*b378 + 1040*b11*b379 + 4316*b11*b380 + 1508*b11*b381 + 3120*b11*
    b382 + 2964*b11*b383 + 4056*b11*b384 + 3016*b11*b386 + 2860*b11*b387 + 988*
    b11*b388 + 4420*b11*b389 + 2704*b11*b390 + 1768*b11*b391 + 2080*b11*b392 + 
    3588*b11*b393 + 624*b11*b394 + 4420*b11*b395 + 3744*b11*b396 + 364*b11*b397
     + 2548*b11*b398 + 10080*b11*b399 + 13860*b11*b400 + 3600*b11*b401 + 14940*
    b11*b402 + 5220*b11*b403 + 10800*b11*b404 + 10260*b11*b405 + 14040*b11*b406
     + 10440*b11*b408 + 9900*b11*b409 + 3420*b11*b410 + 15300*b11*b411 + 9360*
    b11*b412 + 6120*b11*b413 + 7200*b11*b414 + 12420*b11*b415 + 2160*b11*b416
     + 15300*b11*b417 + 12960*b11*b418 + 1260*b11*b419 + 8820*b11*b420 + 2912*
    b11*b421 + 4004*b11*b422 + 1040*b11*b423 + 4316*b11*b424 + 1508*b11*b425 + 
    3120*b11*b426 + 2964*b11*b427 + 4056*b11*b428 + 3016*b11*b430 + 2860*b11*
    b431 + 988*b11*b432 + 4420*b11*b433 + 2704*b11*b434 + 1768*b11*b435 + 2080*
    b11*b436 + 3588*b11*b437 + 624*b11*b438 + 4420*b11*b439 + 3744*b11*b440 + 
    364*b11*b441 + 2548*b11*b442 + 112*b11*b443 + 154*b11*b444 + 40*b11*b445 + 
    166*b11*b446 + 58*b11*b447 + 120*b11*b448 + 114*b11*b449 + 156*b11*b450 + 
    116*b11*b452 + 110*b11*b453 + 38*b11*b454 + 170*b11*b455 + 104*b11*b456 + 
    68*b11*b457 + 80*b11*b458 + 138*b11*b459 + 24*b11*b460 + 170*b11*b461 + 144
    *b11*b462 + 14*b11*b463 + 98*b11*b464 + 7616*b11*b465 + 10472*b11*b466 + 
    2720*b11*b467 + 11288*b11*b468 + 3944*b11*b469 + 8160*b11*b470 + 7752*b11*
    b471 + 10608*b11*b472 + 7888*b11*b474 + 7480*b11*b475 + 2584*b11*b476 + 
    11560*b11*b477 + 7072*b11*b478 + 4624*b11*b479 + 5440*b11*b480 + 9384*b11*
    b481 + 1632*b11*b482 + 11560*b11*b483 + 9792*b11*b484 + 952*b11*b485 + 6664
    *b11*b486 + 10416*b11*b487 + 14322*b11*b488 + 3720*b11*b489 + 15438*b11*
    b490 + 5394*b11*b491 + 11160*b11*b492 + 10602*b11*b493 + 14508*b11*b494 + 
    10788*b11*b496 + 10230*b11*b497 + 3534*b11*b498 + 15810*b11*b499 + 9672*b11
    *b500 + 6324*b11*b501 + 7440*b11*b502 + 12834*b11*b503 + 2232*b11*b504 + 
    15810*b11*b505 + 13392*b11*b506 + 1302*b11*b507 + 9114*b11*b508 + 784*b11*
    b509 + 1078*b11*b510 + 280*b11*b511 + 1162*b11*b512 + 406*b11*b513 + 840*
    b11*b514 + 798*b11*b515 + 1092*b11*b516 + 812*b11*b518 + 770*b11*b519 + 266
    *b11*b520 + 1190*b11*b521 + 728*b11*b522 + 476*b11*b523 + 560*b11*b524 + 
    966*b11*b525 + 168*b11*b526 + 1190*b11*b527 + 1008*b11*b528 + 98*b11*b529
     + 686*b11*b530 + 632*b11*b531 + 8374*b11*b532 + 7268*b11*b533 + 784*b11*
    b534 + 10388*b11*b535 + 9016*b11*b536 + 480*b11*b537 + 6360*b11*b538 + 5520
    *b11*b539 + 280*b11*b540 + 3710*b11*b541 + 3220*b11*b542 + 72*b11*b543 + 
    954*b11*b544 + 828*b11*b545 + 768*b11*b546 + 10176*b11*b547 + 8832*b11*b548
     + 560*b11*b549 + 7420*b11*b550 + 6440*b11*b551 + 168*b11*b552 + 2226*b11*
    b553 + 1932*b11*b554 + 296*b11*b555 + 3922*b11*b556 + 3404*b11*b557 + 296*
    b11*b558 + 3922*b11*b559 + 3404*b11*b560 + 536*b11*b561 + 7102*b11*b562 + 
    6164*b11*b563 + 744*b11*b564 + 9858*b11*b565 + 8556*b11*b566 + 744*b11*b567
     + 9858*b11*b568 + 8556*b11*b569 + 312*b11*b570 + 4134*b11*b571 + 3588*b11*
    b572 + 16*b11*b573 + 212*b11*b574 + 184*b11*b575 + 416*b11*b576 + 5512*b11*
    b577 + 4784*b11*b578 + 208*b11*b579 + 2756*b11*b580 + 2392*b11*b581 + 720*
    b11*b582 + 9540*b11*b583 + 8280*b11*b584 + 208*b11*b585 + 2756*b11*b586 + 
    2392*b11*b587 + 8*b11*b588 + 106*b11*b589 + 92*b11*b590 + 544*b11*b591 + 
    7208*b11*b592 + 6256*b11*b593 + 744*b11*b594 + 9858*b11*b595 + 8556*b11*
    b596 + 56*b11*b597 + 742*b11*b598 + 644*b11*b599 + 14168*b11*b600 + 3680*
    b11*b601 + 15272*b11*b602 + 5336*b11*b603 + 11040*b11*b604 + 10488*b11*b605
     + 14352*b11*b606 + 10672*b11*b608 + 10120*b11*b609 + 3496*b11*b610 + 15640
    *b11*b611 + 9568*b11*b612 + 6256*b11*b613 + 9752*b11*b614 + 7360*b11*b615
     + 12696*b11*b616 + 2208*b11*b617 + 15640*b11*b618 + 13248*b11*b619 + 1288*
    b11*b620 + 9016*b11*b621 + 8464*b11*b622 + 10304*b11*b623 + 13588*b12*b25
     + 11692*b12*b26 + 3318*b12*b27 + 15168*b12*b28 + 1738*b12*b29 + 11376*b12*
    b30 + 9954*b12*b31 + 14378*b12*b32 + 9164*b12*b33 + 13746*b12*b35 + 9164*
    b12*b36 + 2686*b12*b37 + 10744*b12*b38 + 4266*b12*b39 + 948*b12*b40 + 10586
    *b12*b41 + 4108*b12*b42 + 12956*b12*b43 + 6952*b12*b44 + 5530*b12*b45 + 474
    *b12*b46 + 16856*b12*b47 + 14504*b12*b48 + 4116*b12*b49 + 18816*b12*b50 + 
    2156*b12*b51 + 14112*b12*b52 + 12348*b12*b53 + 17836*b12*b54 + 11368*b12*
    b55 + 17052*b12*b57 + 11368*b12*b58 + 3332*b12*b59 + 13328*b12*b60 + 5292*
    b12*b61 + 1176*b12*b62 + 13132*b12*b63 + 5096*b12*b64 + 16072*b12*b65 + 
    8624*b12*b66 + 6860*b12*b67 + 588*b12*b68 + 10320*b12*b69 + 8880*b12*b70 + 
    2520*b12*b71 + 11520*b12*b72 + 1320*b12*b73 + 8640*b12*b74 + 7560*b12*b75
     + 10920*b12*b76 + 6960*b12*b77 + 10440*b12*b79 + 6960*b12*b80 + 2040*b12*
    b81 + 8160*b12*b82 + 3240*b12*b83 + 720*b12*b84 + 8040*b12*b85 + 3120*b12*
    b86 + 9840*b12*b87 + 5280*b12*b88 + 4200*b12*b89 + 360*b12*b90 + 6020*b12*
    b91 + 5180*b12*b92 + 1470*b12*b93 + 6720*b12*b94 + 770*b12*b95 + 5040*b12*
    b96 + 4410*b12*b97 + 6370*b12*b98 + 4060*b12*b99 + 6090*b12*b101 + 4060*b12
    *b102 + 1190*b12*b103 + 4760*b12*b104 + 1890*b12*b105 + 420*b12*b106 + 4690
    *b12*b107 + 1820*b12*b108 + 5740*b12*b109 + 3080*b12*b110 + 2450*b12*b111
     + 210*b12*b112 + 1548*b12*b113 + 1332*b12*b114 + 378*b12*b115 + 1728*b12*
    b116 + 198*b12*b117 + 1296*b12*b118 + 1134*b12*b119 + 1638*b12*b120 + 1044*
    b12*b121 + 1566*b12*b123 + 1044*b12*b124 + 306*b12*b125 + 1224*b12*b126 + 
    486*b12*b127 + 108*b12*b128 + 1206*b12*b129 + 468*b12*b130 + 1476*b12*b131
     + 792*b12*b132 + 630*b12*b133 + 54*b12*b134 + 16512*b12*b135 + 14208*b12*
    b136 + 4032*b12*b137 + 18432*b12*b138 + 2112*b12*b139 + 13824*b12*b140 + 
    12096*b12*b141 + 17472*b12*b142 + 11136*b12*b143 + 16704*b12*b145 + 11136*
    b12*b146 + 3264*b12*b147 + 13056*b12*b148 + 5184*b12*b149 + 1152*b12*b150
     + 12864*b12*b151 + 4992*b12*b152 + 15744*b12*b153 + 8448*b12*b154 + 6720*
    b12*b155 + 576*b12*b156 + 12040*b12*b157 + 10360*b12*b158 + 2940*b12*b159
     + 13440*b12*b160 + 1540*b12*b161 + 10080*b12*b162 + 8820*b12*b163 + 12740*
    b12*b164 + 8120*b12*b165 + 12180*b12*b167 + 8120*b12*b168 + 2380*b12*b169
     + 9520*b12*b170 + 3780*b12*b171 + 840*b12*b172 + 9380*b12*b173 + 3640*b12*
    b174 + 11480*b12*b175 + 6160*b12*b176 + 4900*b12*b177 + 420*b12*b178 + 3612
    *b12*b179 + 3108*b12*b180 + 882*b12*b181 + 4032*b12*b182 + 462*b12*b183 + 
    3024*b12*b184 + 2646*b12*b185 + 3822*b12*b186 + 2436*b12*b187 + 3654*b12*
    b189 + 2436*b12*b190 + 714*b12*b191 + 2856*b12*b192 + 1134*b12*b193 + 252*
    b12*b194 + 2814*b12*b195 + 1092*b12*b196 + 3444*b12*b197 + 1848*b12*b198 + 
    1470*b12*b199 + 126*b12*b200 + 6364*b12*b201 + 5476*b12*b202 + 1554*b12*
    b203 + 7104*b12*b204 + 814*b12*b205 + 5328*b12*b206 + 4662*b12*b207 + 6734*
    b12*b208 + 4292*b12*b209 + 6438*b12*b211 + 4292*b12*b212 + 1258*b12*b213 + 
    5032*b12*b214 + 1998*b12*b215 + 444*b12*b216 + 4958*b12*b217 + 1924*b12*
    b218 + 6068*b12*b219 + 3256*b12*b220 + 2590*b12*b221 + 222*b12*b222 + 6364*
    b12*b223 + 5476*b12*b224 + 1554*b12*b225 + 7104*b12*b226 + 814*b12*b227 + 
    5328*b12*b228 + 4662*b12*b229 + 6734*b12*b230 + 4292*b12*b231 + 6438*b12*
    b233 + 4292*b12*b234 + 1258*b12*b235 + 5032*b12*b236 + 1998*b12*b237 + 444*
    b12*b238 + 4958*b12*b239 + 1924*b12*b240 + 6068*b12*b241 + 3256*b12*b242 + 
    2590*b12*b243 + 222*b12*b244 + 11524*b12*b245 + 9916*b12*b246 + 2814*b12*
    b247 + 12864*b12*b248 + 1474*b12*b249 + 9648*b12*b250 + 8442*b12*b251 + 
    12194*b12*b252 + 7772*b12*b253 + 11658*b12*b255 + 7772*b12*b256 + 2278*b12*
    b257 + 9112*b12*b258 + 3618*b12*b259 + 804*b12*b260 + 8978*b12*b261 + 3484*
    b12*b262 + 10988*b12*b263 + 5896*b12*b264 + 4690*b12*b265 + 402*b12*b266 + 
    15996*b12*b267 + 13764*b12*b268 + 3906*b12*b269 + 17856*b12*b270 + 2046*b12
    *b271 + 13392*b12*b272 + 11718*b12*b273 + 16926*b12*b274 + 10788*b12*b275
     + 16182*b12*b277 + 10788*b12*b278 + 3162*b12*b279 + 12648*b12*b280 + 5022*
    b12*b281 + 1116*b12*b282 + 12462*b12*b283 + 4836*b12*b284 + 15252*b12*b285
     + 8184*b12*b286 + 6510*b12*b287 + 558*b12*b288 + 15996*b12*b289 + 13764*
    b12*b290 + 3906*b12*b291 + 17856*b12*b292 + 2046*b12*b293 + 13392*b12*b294
     + 11718*b12*b295 + 16926*b12*b296 + 10788*b12*b297 + 16182*b12*b299 + 
    10788*b12*b300 + 3162*b12*b301 + 12648*b12*b302 + 5022*b12*b303 + 1116*b12*
    b304 + 12462*b12*b305 + 4836*b12*b306 + 15252*b12*b307 + 8184*b12*b308 + 
    6510*b12*b309 + 558*b12*b310 + 6708*b12*b311 + 5772*b12*b312 + 1638*b12*
    b313 + 7488*b12*b314 + 858*b12*b315 + 5616*b12*b316 + 4914*b12*b317 + 7098*
    b12*b318 + 4524*b12*b319 + 6786*b12*b321 + 4524*b12*b322 + 1326*b12*b323 + 
    5304*b12*b324 + 2106*b12*b325 + 468*b12*b326 + 5226*b12*b327 + 2028*b12*
    b328 + 6396*b12*b329 + 3432*b12*b330 + 2730*b12*b331 + 234*b12*b332 + 344*
    b12*b333 + 296*b12*b334 + 84*b12*b335 + 384*b12*b336 + 44*b12*b337 + 288*
    b12*b338 + 252*b12*b339 + 364*b12*b340 + 232*b12*b341 + 348*b12*b343 + 232*
    b12*b344 + 68*b12*b345 + 272*b12*b346 + 108*b12*b347 + 24*b12*b348 + 268*
    b12*b349 + 104*b12*b350 + 328*b12*b351 + 176*b12*b352 + 140*b12*b353 + 12*
    b12*b354 + 8944*b12*b355 + 7696*b12*b356 + 2184*b12*b357 + 9984*b12*b358 + 
    1144*b12*b359 + 7488*b12*b360 + 6552*b12*b361 + 9464*b12*b362 + 6032*b12*
    b363 + 9048*b12*b365 + 6032*b12*b366 + 1768*b12*b367 + 7072*b12*b368 + 2808
    *b12*b369 + 624*b12*b370 + 6968*b12*b371 + 2704*b12*b372 + 8528*b12*b373 + 
    4576*b12*b374 + 3640*b12*b375 + 312*b12*b376 + 4472*b12*b377 + 3848*b12*
    b378 + 1092*b12*b379 + 4992*b12*b380 + 572*b12*b381 + 3744*b12*b382 + 3276*
    b12*b383 + 4732*b12*b384 + 3016*b12*b385 + 4524*b12*b387 + 3016*b12*b388 + 
    884*b12*b389 + 3536*b12*b390 + 1404*b12*b391 + 312*b12*b392 + 3484*b12*b393
     + 1352*b12*b394 + 4264*b12*b395 + 2288*b12*b396 + 1820*b12*b397 + 156*b12*
    b398 + 15480*b12*b399 + 13320*b12*b400 + 3780*b12*b401 + 17280*b12*b402 + 
    1980*b12*b403 + 12960*b12*b404 + 11340*b12*b405 + 16380*b12*b406 + 10440*
    b12*b407 + 15660*b12*b409 + 10440*b12*b410 + 3060*b12*b411 + 12240*b12*b412
     + 4860*b12*b413 + 1080*b12*b414 + 12060*b12*b415 + 4680*b12*b416 + 14760*
    b12*b417 + 7920*b12*b418 + 6300*b12*b419 + 540*b12*b420 + 4472*b12*b421 + 
    3848*b12*b422 + 1092*b12*b423 + 4992*b12*b424 + 572*b12*b425 + 3744*b12*
    b426 + 3276*b12*b427 + 4732*b12*b428 + 3016*b12*b429 + 4524*b12*b431 + 3016
    *b12*b432 + 884*b12*b433 + 3536*b12*b434 + 1404*b12*b435 + 312*b12*b436 + 
    3484*b12*b437 + 1352*b12*b438 + 4264*b12*b439 + 2288*b12*b440 + 1820*b12*
    b441 + 156*b12*b442 + 172*b12*b443 + 148*b12*b444 + 42*b12*b445 + 192*b12*
    b446 + 22*b12*b447 + 144*b12*b448 + 126*b12*b449 + 182*b12*b450 + 116*b12*
    b451 + 174*b12*b453 + 116*b12*b454 + 34*b12*b455 + 136*b12*b456 + 54*b12*
    b457 + 12*b12*b458 + 134*b12*b459 + 52*b12*b460 + 164*b12*b461 + 88*b12*
    b462 + 70*b12*b463 + 6*b12*b464 + 11696*b12*b465 + 10064*b12*b466 + 2856*
    b12*b467 + 13056*b12*b468 + 1496*b12*b469 + 9792*b12*b470 + 8568*b12*b471
     + 12376*b12*b472 + 7888*b12*b473 + 11832*b12*b475 + 7888*b12*b476 + 2312*
    b12*b477 + 9248*b12*b478 + 3672*b12*b479 + 816*b12*b480 + 9112*b12*b481 + 
    3536*b12*b482 + 11152*b12*b483 + 5984*b12*b484 + 4760*b12*b485 + 408*b12*
    b486 + 15996*b12*b487 + 13764*b12*b488 + 3906*b12*b489 + 17856*b12*b490 + 
    2046*b12*b491 + 13392*b12*b492 + 11718*b12*b493 + 16926*b12*b494 + 10788*
    b12*b495 + 16182*b12*b497 + 10788*b12*b498 + 3162*b12*b499 + 12648*b12*b500
     + 5022*b12*b501 + 1116*b12*b502 + 12462*b12*b503 + 4836*b12*b504 + 15252*
    b12*b505 + 8184*b12*b506 + 6510*b12*b507 + 558*b12*b508 + 1204*b12*b509 + 
    1036*b12*b510 + 294*b12*b511 + 1344*b12*b512 + 154*b12*b513 + 1008*b12*b514
     + 882*b12*b515 + 1274*b12*b516 + 812*b12*b517 + 1218*b12*b519 + 812*b12*
    b520 + 238*b12*b521 + 952*b12*b522 + 378*b12*b523 + 84*b12*b524 + 938*b12*
    b525 + 364*b12*b526 + 1148*b12*b527 + 616*b12*b528 + 490*b12*b529 + 42*b12*
    b530 + 9954*b12*b531 + 3318*b12*b532 + 9796*b12*b533 + 12348*b12*b534 + 
    4116*b12*b535 + 12152*b12*b536 + 7560*b12*b537 + 2520*b12*b538 + 7440*b12*
    b539 + 4410*b12*b540 + 1470*b12*b541 + 4340*b12*b542 + 1134*b12*b543 + 378*
    b12*b544 + 1116*b12*b545 + 12096*b12*b546 + 4032*b12*b547 + 11904*b12*b548
     + 8820*b12*b549 + 2940*b12*b550 + 8680*b12*b551 + 2646*b12*b552 + 882*b12*
    b553 + 2604*b12*b554 + 4662*b12*b555 + 1554*b12*b556 + 4588*b12*b557 + 4662
    *b12*b558 + 1554*b12*b559 + 4588*b12*b560 + 8442*b12*b561 + 2814*b12*b562
     + 8308*b12*b563 + 11718*b12*b564 + 3906*b12*b565 + 11532*b12*b566 + 11718*
    b12*b567 + 3906*b12*b568 + 11532*b12*b569 + 4914*b12*b570 + 1638*b12*b571
     + 4836*b12*b572 + 252*b12*b573 + 84*b12*b574 + 248*b12*b575 + 6552*b12*
    b576 + 2184*b12*b577 + 6448*b12*b578 + 3276*b12*b579 + 1092*b12*b580 + 3224
    *b12*b581 + 11340*b12*b582 + 3780*b12*b583 + 11160*b12*b584 + 3276*b12*b585
     + 1092*b12*b586 + 3224*b12*b587 + 126*b12*b588 + 42*b12*b589 + 124*b12*
    b590 + 8568*b12*b591 + 2856*b12*b592 + 8432*b12*b593 + 11718*b12*b594 + 
    3906*b12*b595 + 11532*b12*b596 + 882*b12*b597 + 294*b12*b598 + 868*b12*b599
     + 13616*b12*b600 + 3864*b12*b601 + 17664*b12*b602 + 2024*b12*b603 + 13248*
    b12*b604 + 11592*b12*b605 + 16744*b12*b606 + 10672*b12*b607 + 16008*b12*
    b609 + 10672*b12*b610 + 3128*b12*b611 + 12512*b12*b612 + 4968*b12*b613 + 
    3864*b12*b614 + 1104*b12*b615 + 12328*b12*b616 + 4784*b12*b617 + 15088*b12*
    b618 + 8096*b12*b619 + 6440*b12*b620 + 552*b12*b621 + 11408*b12*b622 + 
    15824*b12*b623 + 7110*b13*b25 + 4740*b13*b26 + 9638*b13*b27 + 11692*b13*b28
     + 12166*b13*b29 + 11692*b13*b30 + 948*b13*b31 + 2054*b13*b32 + 8690*b13*
    b33 + 13746*b13*b34 + 1264*b13*b36 + 8058*b13*b37 + 158*b13*b38 + 14378*b13
    *b39 + 13746*b13*b40 + 11376*b13*b41 + 7110*b13*b42 + 15168*b13*b43 + 1106*
    b13*b44 + 13746*b13*b45 + 10744*b13*b46 + 8820*b13*b47 + 5880*b13*b48 + 
    11956*b13*b49 + 14504*b13*b50 + 15092*b13*b51 + 14504*b13*b52 + 1176*b13*
    b53 + 2548*b13*b54 + 10780*b13*b55 + 17052*b13*b56 + 1568*b13*b58 + 9996*
    b13*b59 + 196*b13*b60 + 17836*b13*b61 + 17052*b13*b62 + 14112*b13*b63 + 
    8820*b13*b64 + 18816*b13*b65 + 1372*b13*b66 + 17052*b13*b67 + 13328*b13*b68
     + 5400*b13*b69 + 3600*b13*b70 + 7320*b13*b71 + 8880*b13*b72 + 9240*b13*b73
     + 8880*b13*b74 + 720*b13*b75 + 1560*b13*b76 + 6600*b13*b77 + 10440*b13*b78
     + 960*b13*b80 + 6120*b13*b81 + 120*b13*b82 + 10920*b13*b83 + 10440*b13*b84
     + 8640*b13*b85 + 5400*b13*b86 + 11520*b13*b87 + 840*b13*b88 + 10440*b13*
    b89 + 8160*b13*b90 + 3150*b13*b91 + 2100*b13*b92 + 4270*b13*b93 + 5180*b13*
    b94 + 5390*b13*b95 + 5180*b13*b96 + 420*b13*b97 + 910*b13*b98 + 3850*b13*
    b99 + 6090*b13*b100 + 560*b13*b102 + 3570*b13*b103 + 70*b13*b104 + 6370*b13
    *b105 + 6090*b13*b106 + 5040*b13*b107 + 3150*b13*b108 + 6720*b13*b109 + 490
    *b13*b110 + 6090*b13*b111 + 4760*b13*b112 + 810*b13*b113 + 540*b13*b114 + 
    1098*b13*b115 + 1332*b13*b116 + 1386*b13*b117 + 1332*b13*b118 + 108*b13*
    b119 + 234*b13*b120 + 990*b13*b121 + 1566*b13*b122 + 144*b13*b124 + 918*b13
    *b125 + 18*b13*b126 + 1638*b13*b127 + 1566*b13*b128 + 1296*b13*b129 + 810*
    b13*b130 + 1728*b13*b131 + 126*b13*b132 + 1566*b13*b133 + 1224*b13*b134 + 
    8640*b13*b135 + 5760*b13*b136 + 11712*b13*b137 + 14208*b13*b138 + 14784*b13
    *b139 + 14208*b13*b140 + 1152*b13*b141 + 2496*b13*b142 + 10560*b13*b143 + 
    16704*b13*b144 + 1536*b13*b146 + 9792*b13*b147 + 192*b13*b148 + 17472*b13*
    b149 + 16704*b13*b150 + 13824*b13*b151 + 8640*b13*b152 + 18432*b13*b153 + 
    1344*b13*b154 + 16704*b13*b155 + 13056*b13*b156 + 6300*b13*b157 + 4200*b13*
    b158 + 8540*b13*b159 + 10360*b13*b160 + 10780*b13*b161 + 10360*b13*b162 + 
    840*b13*b163 + 1820*b13*b164 + 7700*b13*b165 + 12180*b13*b166 + 1120*b13*
    b168 + 7140*b13*b169 + 140*b13*b170 + 12740*b13*b171 + 12180*b13*b172 + 
    10080*b13*b173 + 6300*b13*b174 + 13440*b13*b175 + 980*b13*b176 + 12180*b13*
    b177 + 9520*b13*b178 + 1890*b13*b179 + 1260*b13*b180 + 2562*b13*b181 + 3108
    *b13*b182 + 3234*b13*b183 + 3108*b13*b184 + 252*b13*b185 + 546*b13*b186 + 
    2310*b13*b187 + 3654*b13*b188 + 336*b13*b190 + 2142*b13*b191 + 42*b13*b192
     + 3822*b13*b193 + 3654*b13*b194 + 3024*b13*b195 + 1890*b13*b196 + 4032*b13
    *b197 + 294*b13*b198 + 3654*b13*b199 + 2856*b13*b200 + 3330*b13*b201 + 2220
    *b13*b202 + 4514*b13*b203 + 5476*b13*b204 + 5698*b13*b205 + 5476*b13*b206
     + 444*b13*b207 + 962*b13*b208 + 4070*b13*b209 + 6438*b13*b210 + 592*b13*
    b212 + 3774*b13*b213 + 74*b13*b214 + 6734*b13*b215 + 6438*b13*b216 + 5328*
    b13*b217 + 3330*b13*b218 + 7104*b13*b219 + 518*b13*b220 + 6438*b13*b221 + 
    5032*b13*b222 + 3330*b13*b223 + 2220*b13*b224 + 4514*b13*b225 + 5476*b13*
    b226 + 5698*b13*b227 + 5476*b13*b228 + 444*b13*b229 + 962*b13*b230 + 4070*
    b13*b231 + 6438*b13*b232 + 592*b13*b234 + 3774*b13*b235 + 74*b13*b236 + 
    6734*b13*b237 + 6438*b13*b238 + 5328*b13*b239 + 3330*b13*b240 + 7104*b13*
    b241 + 518*b13*b242 + 6438*b13*b243 + 5032*b13*b244 + 6030*b13*b245 + 4020*
    b13*b246 + 8174*b13*b247 + 9916*b13*b248 + 10318*b13*b249 + 9916*b13*b250
     + 804*b13*b251 + 1742*b13*b252 + 7370*b13*b253 + 11658*b13*b254 + 1072*b13
    *b256 + 6834*b13*b257 + 134*b13*b258 + 12194*b13*b259 + 11658*b13*b260 + 
    9648*b13*b261 + 6030*b13*b262 + 12864*b13*b263 + 938*b13*b264 + 11658*b13*
    b265 + 9112*b13*b266 + 8370*b13*b267 + 5580*b13*b268 + 11346*b13*b269 + 
    13764*b13*b270 + 14322*b13*b271 + 13764*b13*b272 + 1116*b13*b273 + 2418*b13
    *b274 + 10230*b13*b275 + 16182*b13*b276 + 1488*b13*b278 + 9486*b13*b279 + 
    186*b13*b280 + 16926*b13*b281 + 16182*b13*b282 + 13392*b13*b283 + 8370*b13*
    b284 + 17856*b13*b285 + 1302*b13*b286 + 16182*b13*b287 + 12648*b13*b288 + 
    8370*b13*b289 + 5580*b13*b290 + 11346*b13*b291 + 13764*b13*b292 + 14322*b13
    *b293 + 13764*b13*b294 + 1116*b13*b295 + 2418*b13*b296 + 10230*b13*b297 + 
    16182*b13*b298 + 1488*b13*b300 + 9486*b13*b301 + 186*b13*b302 + 16926*b13*
    b303 + 16182*b13*b304 + 13392*b13*b305 + 8370*b13*b306 + 17856*b13*b307 + 
    1302*b13*b308 + 16182*b13*b309 + 12648*b13*b310 + 3510*b13*b311 + 2340*b13*
    b312 + 4758*b13*b313 + 5772*b13*b314 + 6006*b13*b315 + 5772*b13*b316 + 468*
    b13*b317 + 1014*b13*b318 + 4290*b13*b319 + 6786*b13*b320 + 624*b13*b322 + 
    3978*b13*b323 + 78*b13*b324 + 7098*b13*b325 + 6786*b13*b326 + 5616*b13*b327
     + 3510*b13*b328 + 7488*b13*b329 + 546*b13*b330 + 6786*b13*b331 + 5304*b13*
    b332 + 180*b13*b333 + 120*b13*b334 + 244*b13*b335 + 296*b13*b336 + 308*b13*
    b337 + 296*b13*b338 + 24*b13*b339 + 52*b13*b340 + 220*b13*b341 + 348*b13*
    b342 + 32*b13*b344 + 204*b13*b345 + 4*b13*b346 + 364*b13*b347 + 348*b13*
    b348 + 288*b13*b349 + 180*b13*b350 + 384*b13*b351 + 28*b13*b352 + 348*b13*
    b353 + 272*b13*b354 + 4680*b13*b355 + 3120*b13*b356 + 6344*b13*b357 + 7696*
    b13*b358 + 8008*b13*b359 + 7696*b13*b360 + 624*b13*b361 + 1352*b13*b362 + 
    5720*b13*b363 + 9048*b13*b364 + 832*b13*b366 + 5304*b13*b367 + 104*b13*b368
     + 9464*b13*b369 + 9048*b13*b370 + 7488*b13*b371 + 4680*b13*b372 + 9984*b13
    *b373 + 728*b13*b374 + 9048*b13*b375 + 7072*b13*b376 + 2340*b13*b377 + 1560
    *b13*b378 + 3172*b13*b379 + 3848*b13*b380 + 4004*b13*b381 + 3848*b13*b382
     + 312*b13*b383 + 676*b13*b384 + 2860*b13*b385 + 4524*b13*b386 + 416*b13*
    b388 + 2652*b13*b389 + 52*b13*b390 + 4732*b13*b391 + 4524*b13*b392 + 3744*
    b13*b393 + 2340*b13*b394 + 4992*b13*b395 + 364*b13*b396 + 4524*b13*b397 + 
    3536*b13*b398 + 8100*b13*b399 + 5400*b13*b400 + 10980*b13*b401 + 13320*b13*
    b402 + 13860*b13*b403 + 13320*b13*b404 + 1080*b13*b405 + 2340*b13*b406 + 
    9900*b13*b407 + 15660*b13*b408 + 1440*b13*b410 + 9180*b13*b411 + 180*b13*
    b412 + 16380*b13*b413 + 15660*b13*b414 + 12960*b13*b415 + 8100*b13*b416 + 
    17280*b13*b417 + 1260*b13*b418 + 15660*b13*b419 + 12240*b13*b420 + 2340*b13
    *b421 + 1560*b13*b422 + 3172*b13*b423 + 3848*b13*b424 + 4004*b13*b425 + 
    3848*b13*b426 + 312*b13*b427 + 676*b13*b428 + 2860*b13*b429 + 4524*b13*b430
     + 416*b13*b432 + 2652*b13*b433 + 52*b13*b434 + 4732*b13*b435 + 4524*b13*
    b436 + 3744*b13*b437 + 2340*b13*b438 + 4992*b13*b439 + 364*b13*b440 + 4524*
    b13*b441 + 3536*b13*b442 + 90*b13*b443 + 60*b13*b444 + 122*b13*b445 + 148*
    b13*b446 + 154*b13*b447 + 148*b13*b448 + 12*b13*b449 + 26*b13*b450 + 110*
    b13*b451 + 174*b13*b452 + 16*b13*b454 + 102*b13*b455 + 2*b13*b456 + 182*b13
    *b457 + 174*b13*b458 + 144*b13*b459 + 90*b13*b460 + 192*b13*b461 + 14*b13*
    b462 + 174*b13*b463 + 136*b13*b464 + 6120*b13*b465 + 4080*b13*b466 + 8296*
    b13*b467 + 10064*b13*b468 + 10472*b13*b469 + 10064*b13*b470 + 816*b13*b471
     + 1768*b13*b472 + 7480*b13*b473 + 11832*b13*b474 + 1088*b13*b476 + 6936*
    b13*b477 + 136*b13*b478 + 12376*b13*b479 + 11832*b13*b480 + 9792*b13*b481
     + 6120*b13*b482 + 13056*b13*b483 + 952*b13*b484 + 11832*b13*b485 + 9248*
    b13*b486 + 8370*b13*b487 + 5580*b13*b488 + 11346*b13*b489 + 13764*b13*b490
     + 14322*b13*b491 + 13764*b13*b492 + 1116*b13*b493 + 2418*b13*b494 + 10230*
    b13*b495 + 16182*b13*b496 + 1488*b13*b498 + 9486*b13*b499 + 186*b13*b500 + 
    16926*b13*b501 + 16182*b13*b502 + 13392*b13*b503 + 8370*b13*b504 + 17856*
    b13*b505 + 1302*b13*b506 + 16182*b13*b507 + 12648*b13*b508 + 630*b13*b509
     + 420*b13*b510 + 854*b13*b511 + 1036*b13*b512 + 1078*b13*b513 + 1036*b13*
    b514 + 84*b13*b515 + 182*b13*b516 + 770*b13*b517 + 1218*b13*b518 + 112*b13*
    b520 + 714*b13*b521 + 14*b13*b522 + 1274*b13*b523 + 1218*b13*b524 + 1008*
    b13*b525 + 630*b13*b526 + 1344*b13*b527 + 98*b13*b528 + 1218*b13*b529 + 952
    *b13*b530 + 948*b13*b531 + 6162*b13*b532 + 5214*b13*b533 + 1176*b13*b534 + 
    7644*b13*b535 + 6468*b13*b536 + 720*b13*b537 + 4680*b13*b538 + 3960*b13*
    b539 + 420*b13*b540 + 2730*b13*b541 + 2310*b13*b542 + 108*b13*b543 + 702*
    b13*b544 + 594*b13*b545 + 1152*b13*b546 + 7488*b13*b547 + 6336*b13*b548 + 
    840*b13*b549 + 5460*b13*b550 + 4620*b13*b551 + 252*b13*b552 + 1638*b13*b553
     + 1386*b13*b554 + 444*b13*b555 + 2886*b13*b556 + 2442*b13*b557 + 444*b13*
    b558 + 2886*b13*b559 + 2442*b13*b560 + 804*b13*b561 + 5226*b13*b562 + 4422*
    b13*b563 + 1116*b13*b564 + 7254*b13*b565 + 6138*b13*b566 + 1116*b13*b567 + 
    7254*b13*b568 + 6138*b13*b569 + 468*b13*b570 + 3042*b13*b571 + 2574*b13*
    b572 + 24*b13*b573 + 156*b13*b574 + 132*b13*b575 + 624*b13*b576 + 4056*b13*
    b577 + 3432*b13*b578 + 312*b13*b579 + 2028*b13*b580 + 1716*b13*b581 + 1080*
    b13*b582 + 7020*b13*b583 + 5940*b13*b584 + 312*b13*b585 + 2028*b13*b586 + 
    1716*b13*b587 + 12*b13*b588 + 78*b13*b589 + 66*b13*b590 + 816*b13*b591 + 
    5304*b13*b592 + 4488*b13*b593 + 1116*b13*b594 + 7254*b13*b595 + 6138*b13*
    b596 + 84*b13*b597 + 546*b13*b598 + 462*b13*b599 + 5520*b13*b600 + 11224*
    b13*b601 + 13616*b13*b602 + 14168*b13*b603 + 13616*b13*b604 + 1104*b13*b605
     + 2392*b13*b606 + 10120*b13*b607 + 16008*b13*b608 + 1472*b13*b610 + 9384*
    b13*b611 + 184*b13*b612 + 16744*b13*b613 + 7176*b13*b614 + 16008*b13*b615
     + 13248*b13*b616 + 8280*b13*b617 + 17664*b13*b618 + 1288*b13*b619 + 16008*
    b13*b620 + 12512*b13*b621 + 6072*b13*b622 + 8280*b13*b623 + 14378*b14*b25
     + 14062*b14*b26 + 12640*b14*b27 + 7110*b14*b28 + 5056*b14*b29 + 7268*b14*
    b30 + 9322*b14*b32 + 3002*b14*b33 + 9164*b14*b34 + 1264*b14*b35 + 474*b14*
    b37 + 3318*b14*b38 + 14220*b14*b39 + 7426*b14*b40 + 3950*b14*b41 + 4740*b14
    *b42 + 6794*b14*b43 + 15326*b14*b44 + 5214*b14*b45 + 5530*b14*b46 + 17836*
    b14*b47 + 17444*b14*b48 + 15680*b14*b49 + 8820*b14*b50 + 6272*b14*b51 + 
    9016*b14*b52 + 11564*b14*b54 + 3724*b14*b55 + 11368*b14*b56 + 1568*b14*b57
     + 588*b14*b59 + 4116*b14*b60 + 17640*b14*b61 + 9212*b14*b62 + 4900*b14*b63
     + 5880*b14*b64 + 8428*b14*b65 + 19012*b14*b66 + 6468*b14*b67 + 6860*b14*
    b68 + 10920*b14*b69 + 10680*b14*b70 + 9600*b14*b71 + 5400*b14*b72 + 3840*
    b14*b73 + 5520*b14*b74 + 7080*b14*b76 + 2280*b14*b77 + 6960*b14*b78 + 960*
    b14*b79 + 360*b14*b81 + 2520*b14*b82 + 10800*b14*b83 + 5640*b14*b84 + 3000*
    b14*b85 + 3600*b14*b86 + 5160*b14*b87 + 11640*b14*b88 + 3960*b14*b89 + 4200
    *b14*b90 + 6370*b14*b91 + 6230*b14*b92 + 5600*b14*b93 + 3150*b14*b94 + 2240
    *b14*b95 + 3220*b14*b96 + 4130*b14*b98 + 1330*b14*b99 + 4060*b14*b100 + 560
    *b14*b101 + 210*b14*b103 + 1470*b14*b104 + 6300*b14*b105 + 3290*b14*b106 + 
    1750*b14*b107 + 2100*b14*b108 + 3010*b14*b109 + 6790*b14*b110 + 2310*b14*
    b111 + 2450*b14*b112 + 1638*b14*b113 + 1602*b14*b114 + 1440*b14*b115 + 810*
    b14*b116 + 576*b14*b117 + 828*b14*b118 + 1062*b14*b120 + 342*b14*b121 + 
    1044*b14*b122 + 144*b14*b123 + 54*b14*b125 + 378*b14*b126 + 1620*b14*b127
     + 846*b14*b128 + 450*b14*b129 + 540*b14*b130 + 774*b14*b131 + 1746*b14*
    b132 + 594*b14*b133 + 630*b14*b134 + 17472*b14*b135 + 17088*b14*b136 + 
    15360*b14*b137 + 8640*b14*b138 + 6144*b14*b139 + 8832*b14*b140 + 11328*b14*
    b142 + 3648*b14*b143 + 11136*b14*b144 + 1536*b14*b145 + 576*b14*b147 + 4032
    *b14*b148 + 17280*b14*b149 + 9024*b14*b150 + 4800*b14*b151 + 5760*b14*b152
     + 8256*b14*b153 + 18624*b14*b154 + 6336*b14*b155 + 6720*b14*b156 + 12740*
    b14*b157 + 12460*b14*b158 + 11200*b14*b159 + 6300*b14*b160 + 4480*b14*b161
     + 6440*b14*b162 + 8260*b14*b164 + 2660*b14*b165 + 8120*b14*b166 + 1120*b14
    *b167 + 420*b14*b169 + 2940*b14*b170 + 12600*b14*b171 + 6580*b14*b172 + 
    3500*b14*b173 + 4200*b14*b174 + 6020*b14*b175 + 13580*b14*b176 + 4620*b14*
    b177 + 4900*b14*b178 + 3822*b14*b179 + 3738*b14*b180 + 3360*b14*b181 + 1890
    *b14*b182 + 1344*b14*b183 + 1932*b14*b184 + 2478*b14*b186 + 798*b14*b187 + 
    2436*b14*b188 + 336*b14*b189 + 126*b14*b191 + 882*b14*b192 + 3780*b14*b193
     + 1974*b14*b194 + 1050*b14*b195 + 1260*b14*b196 + 1806*b14*b197 + 4074*b14
    *b198 + 1386*b14*b199 + 1470*b14*b200 + 6734*b14*b201 + 6586*b14*b202 + 
    5920*b14*b203 + 3330*b14*b204 + 2368*b14*b205 + 3404*b14*b206 + 4366*b14*
    b208 + 1406*b14*b209 + 4292*b14*b210 + 592*b14*b211 + 222*b14*b213 + 1554*
    b14*b214 + 6660*b14*b215 + 3478*b14*b216 + 1850*b14*b217 + 2220*b14*b218 + 
    3182*b14*b219 + 7178*b14*b220 + 2442*b14*b221 + 2590*b14*b222 + 6734*b14*
    b223 + 6586*b14*b224 + 5920*b14*b225 + 3330*b14*b226 + 2368*b14*b227 + 3404
    *b14*b228 + 4366*b14*b230 + 1406*b14*b231 + 4292*b14*b232 + 592*b14*b233 + 
    222*b14*b235 + 1554*b14*b236 + 6660*b14*b237 + 3478*b14*b238 + 1850*b14*
    b239 + 2220*b14*b240 + 3182*b14*b241 + 7178*b14*b242 + 2442*b14*b243 + 2590
    *b14*b244 + 12194*b14*b245 + 11926*b14*b246 + 10720*b14*b247 + 6030*b14*
    b248 + 4288*b14*b249 + 6164*b14*b250 + 7906*b14*b252 + 2546*b14*b253 + 7772
    *b14*b254 + 1072*b14*b255 + 402*b14*b257 + 2814*b14*b258 + 12060*b14*b259
     + 6298*b14*b260 + 3350*b14*b261 + 4020*b14*b262 + 5762*b14*b263 + 12998*
    b14*b264 + 4422*b14*b265 + 4690*b14*b266 + 16926*b14*b267 + 16554*b14*b268
     + 14880*b14*b269 + 8370*b14*b270 + 5952*b14*b271 + 8556*b14*b272 + 10974*
    b14*b274 + 3534*b14*b275 + 10788*b14*b276 + 1488*b14*b277 + 558*b14*b279 + 
    3906*b14*b280 + 16740*b14*b281 + 8742*b14*b282 + 4650*b14*b283 + 5580*b14*
    b284 + 7998*b14*b285 + 18042*b14*b286 + 6138*b14*b287 + 6510*b14*b288 + 
    16926*b14*b289 + 16554*b14*b290 + 14880*b14*b291 + 8370*b14*b292 + 5952*b14
    *b293 + 8556*b14*b294 + 10974*b14*b296 + 3534*b14*b297 + 10788*b14*b298 + 
    1488*b14*b299 + 558*b14*b301 + 3906*b14*b302 + 16740*b14*b303 + 8742*b14*
    b304 + 4650*b14*b305 + 5580*b14*b306 + 7998*b14*b307 + 18042*b14*b308 + 
    6138*b14*b309 + 6510*b14*b310 + 7098*b14*b311 + 6942*b14*b312 + 6240*b14*
    b313 + 3510*b14*b314 + 2496*b14*b315 + 3588*b14*b316 + 4602*b14*b318 + 1482
    *b14*b319 + 4524*b14*b320 + 624*b14*b321 + 234*b14*b323 + 1638*b14*b324 + 
    7020*b14*b325 + 3666*b14*b326 + 1950*b14*b327 + 2340*b14*b328 + 3354*b14*
    b329 + 7566*b14*b330 + 2574*b14*b331 + 2730*b14*b332 + 364*b14*b333 + 356*
    b14*b334 + 320*b14*b335 + 180*b14*b336 + 128*b14*b337 + 184*b14*b338 + 236*
    b14*b340 + 76*b14*b341 + 232*b14*b342 + 32*b14*b343 + 12*b14*b345 + 84*b14*
    b346 + 360*b14*b347 + 188*b14*b348 + 100*b14*b349 + 120*b14*b350 + 172*b14*
    b351 + 388*b14*b352 + 132*b14*b353 + 140*b14*b354 + 9464*b14*b355 + 9256*
    b14*b356 + 8320*b14*b357 + 4680*b14*b358 + 3328*b14*b359 + 4784*b14*b360 + 
    6136*b14*b362 + 1976*b14*b363 + 6032*b14*b364 + 832*b14*b365 + 312*b14*b367
     + 2184*b14*b368 + 9360*b14*b369 + 4888*b14*b370 + 2600*b14*b371 + 3120*b14
    *b372 + 4472*b14*b373 + 10088*b14*b374 + 3432*b14*b375 + 3640*b14*b376 + 
    4732*b14*b377 + 4628*b14*b378 + 4160*b14*b379 + 2340*b14*b380 + 1664*b14*
    b381 + 2392*b14*b382 + 3068*b14*b384 + 988*b14*b385 + 3016*b14*b386 + 416*
    b14*b387 + 156*b14*b389 + 1092*b14*b390 + 4680*b14*b391 + 2444*b14*b392 + 
    1300*b14*b393 + 1560*b14*b394 + 2236*b14*b395 + 5044*b14*b396 + 1716*b14*
    b397 + 1820*b14*b398 + 16380*b14*b399 + 16020*b14*b400 + 14400*b14*b401 + 
    8100*b14*b402 + 5760*b14*b403 + 8280*b14*b404 + 10620*b14*b406 + 3420*b14*
    b407 + 10440*b14*b408 + 1440*b14*b409 + 540*b14*b411 + 3780*b14*b412 + 
    16200*b14*b413 + 8460*b14*b414 + 4500*b14*b415 + 5400*b14*b416 + 7740*b14*
    b417 + 17460*b14*b418 + 5940*b14*b419 + 6300*b14*b420 + 4732*b14*b421 + 
    4628*b14*b422 + 4160*b14*b423 + 2340*b14*b424 + 1664*b14*b425 + 2392*b14*
    b426 + 3068*b14*b428 + 988*b14*b429 + 3016*b14*b430 + 416*b14*b431 + 156*
    b14*b433 + 1092*b14*b434 + 4680*b14*b435 + 2444*b14*b436 + 1300*b14*b437 + 
    1560*b14*b438 + 2236*b14*b439 + 5044*b14*b440 + 1716*b14*b441 + 1820*b14*
    b442 + 182*b14*b443 + 178*b14*b444 + 160*b14*b445 + 90*b14*b446 + 64*b14*
    b447 + 92*b14*b448 + 118*b14*b450 + 38*b14*b451 + 116*b14*b452 + 16*b14*
    b453 + 6*b14*b455 + 42*b14*b456 + 180*b14*b457 + 94*b14*b458 + 50*b14*b459
     + 60*b14*b460 + 86*b14*b461 + 194*b14*b462 + 66*b14*b463 + 70*b14*b464 + 
    12376*b14*b465 + 12104*b14*b466 + 10880*b14*b467 + 6120*b14*b468 + 4352*b14
    *b469 + 6256*b14*b470 + 8024*b14*b472 + 2584*b14*b473 + 7888*b14*b474 + 
    1088*b14*b475 + 408*b14*b477 + 2856*b14*b478 + 12240*b14*b479 + 6392*b14*
    b480 + 3400*b14*b481 + 4080*b14*b482 + 5848*b14*b483 + 13192*b14*b484 + 
    4488*b14*b485 + 4760*b14*b486 + 16926*b14*b487 + 16554*b14*b488 + 14880*b14
    *b489 + 8370*b14*b490 + 5952*b14*b491 + 8556*b14*b492 + 10974*b14*b494 + 
    3534*b14*b495 + 10788*b14*b496 + 1488*b14*b497 + 558*b14*b499 + 3906*b14*
    b500 + 16740*b14*b501 + 8742*b14*b502 + 4650*b14*b503 + 5580*b14*b504 + 
    7998*b14*b505 + 18042*b14*b506 + 6138*b14*b507 + 6510*b14*b508 + 1274*b14*
    b509 + 1246*b14*b510 + 1120*b14*b511 + 630*b14*b512 + 448*b14*b513 + 644*
    b14*b514 + 826*b14*b516 + 266*b14*b517 + 812*b14*b518 + 112*b14*b519 + 42*
    b14*b521 + 294*b14*b522 + 1260*b14*b523 + 658*b14*b524 + 350*b14*b525 + 420
    *b14*b526 + 602*b14*b527 + 1358*b14*b528 + 462*b14*b529 + 490*b14*b530 + 
    6952*b14*b531 + 7110*b14*b532 + 9638*b14*b533 + 8624*b14*b534 + 8820*b14*
    b535 + 11956*b14*b536 + 5280*b14*b537 + 5400*b14*b538 + 7320*b14*b539 + 
    3080*b14*b540 + 3150*b14*b541 + 4270*b14*b542 + 792*b14*b543 + 810*b14*b544
     + 1098*b14*b545 + 8448*b14*b546 + 8640*b14*b547 + 11712*b14*b548 + 6160*
    b14*b549 + 6300*b14*b550 + 8540*b14*b551 + 1848*b14*b552 + 1890*b14*b553 + 
    2562*b14*b554 + 3256*b14*b555 + 3330*b14*b556 + 4514*b14*b557 + 3256*b14*
    b558 + 3330*b14*b559 + 4514*b14*b560 + 5896*b14*b561 + 6030*b14*b562 + 8174
    *b14*b563 + 8184*b14*b564 + 8370*b14*b565 + 11346*b14*b566 + 8184*b14*b567
     + 8370*b14*b568 + 11346*b14*b569 + 3432*b14*b570 + 3510*b14*b571 + 4758*
    b14*b572 + 176*b14*b573 + 180*b14*b574 + 244*b14*b575 + 4576*b14*b576 + 
    4680*b14*b577 + 6344*b14*b578 + 2288*b14*b579 + 2340*b14*b580 + 3172*b14*
    b581 + 7920*b14*b582 + 8100*b14*b583 + 10980*b14*b584 + 2288*b14*b585 + 
    2340*b14*b586 + 3172*b14*b587 + 88*b14*b588 + 90*b14*b589 + 122*b14*b590 + 
    5984*b14*b591 + 6120*b14*b592 + 8296*b14*b593 + 8184*b14*b594 + 8370*b14*
    b595 + 11346*b14*b596 + 616*b14*b597 + 630*b14*b598 + 854*b14*b599 + 16376*
    b14*b600 + 14720*b14*b601 + 8280*b14*b602 + 5888*b14*b603 + 8464*b14*b604
     + 10856*b14*b606 + 3496*b14*b607 + 10672*b14*b608 + 1472*b14*b609 + 552*
    b14*b611 + 3864*b14*b612 + 16560*b14*b613 + 8280*b14*b614 + 8648*b14*b615
     + 4600*b14*b616 + 5520*b14*b617 + 7912*b14*b618 + 17848*b14*b619 + 6072*
    b14*b620 + 6440*b14*b621 + 11224*b14*b622 + 16744*b14*b623 + 9322*b15*b25
     + 12008*b15*b26 + 9164*b15*b27 + 10270*b15*b28 + 13746*b15*b29 + 2054*b15*
    b30 + 9796*b15*b31 + 7742*b15*b32 + 13430*b15*b33 + 2686*b15*b34 + 8058*b15
    *b35 + 474*b15*b36 + 6636*b15*b38 + 5688*b15*b39 + 1106*b15*b40 + 13272*b15
    *b41 + 948*b15*b42 + 7584*b15*b45 + 9796*b15*b46 + 11564*b15*b47 + 14896*
    b15*b48 + 11368*b15*b49 + 12740*b15*b50 + 17052*b15*b51 + 2548*b15*b52 + 
    12152*b15*b53 + 9604*b15*b54 + 16660*b15*b55 + 3332*b15*b56 + 9996*b15*b57
     + 588*b15*b58 + 8232*b15*b60 + 7056*b15*b61 + 1372*b15*b62 + 16464*b15*b63
     + 1176*b15*b64 + 9408*b15*b67 + 12152*b15*b68 + 7080*b15*b69 + 9120*b15*
    b70 + 6960*b15*b71 + 7800*b15*b72 + 10440*b15*b73 + 1560*b15*b74 + 7440*b15
    *b75 + 5880*b15*b76 + 10200*b15*b77 + 2040*b15*b78 + 6120*b15*b79 + 360*b15
    *b80 + 5040*b15*b82 + 4320*b15*b83 + 840*b15*b84 + 10080*b15*b85 + 720*b15*
    b86 + 5760*b15*b89 + 7440*b15*b90 + 4130*b15*b91 + 5320*b15*b92 + 4060*b15*
    b93 + 4550*b15*b94 + 6090*b15*b95 + 910*b15*b96 + 4340*b15*b97 + 3430*b15*
    b98 + 5950*b15*b99 + 1190*b15*b100 + 3570*b15*b101 + 210*b15*b102 + 2940*
    b15*b104 + 2520*b15*b105 + 490*b15*b106 + 5880*b15*b107 + 420*b15*b108 + 
    3360*b15*b111 + 4340*b15*b112 + 1062*b15*b113 + 1368*b15*b114 + 1044*b15*
    b115 + 1170*b15*b116 + 1566*b15*b117 + 234*b15*b118 + 1116*b15*b119 + 882*
    b15*b120 + 1530*b15*b121 + 306*b15*b122 + 918*b15*b123 + 54*b15*b124 + 756*
    b15*b126 + 648*b15*b127 + 126*b15*b128 + 1512*b15*b129 + 108*b15*b130 + 864
    *b15*b133 + 1116*b15*b134 + 11328*b15*b135 + 14592*b15*b136 + 11136*b15*
    b137 + 12480*b15*b138 + 16704*b15*b139 + 2496*b15*b140 + 11904*b15*b141 + 
    9408*b15*b142 + 16320*b15*b143 + 3264*b15*b144 + 9792*b15*b145 + 576*b15*
    b146 + 8064*b15*b148 + 6912*b15*b149 + 1344*b15*b150 + 16128*b15*b151 + 
    1152*b15*b152 + 9216*b15*b155 + 11904*b15*b156 + 8260*b15*b157 + 10640*b15*
    b158 + 8120*b15*b159 + 9100*b15*b160 + 12180*b15*b161 + 1820*b15*b162 + 
    8680*b15*b163 + 6860*b15*b164 + 11900*b15*b165 + 2380*b15*b166 + 7140*b15*
    b167 + 420*b15*b168 + 5880*b15*b170 + 5040*b15*b171 + 980*b15*b172 + 11760*
    b15*b173 + 840*b15*b174 + 6720*b15*b177 + 8680*b15*b178 + 2478*b15*b179 + 
    3192*b15*b180 + 2436*b15*b181 + 2730*b15*b182 + 3654*b15*b183 + 546*b15*
    b184 + 2604*b15*b185 + 2058*b15*b186 + 3570*b15*b187 + 714*b15*b188 + 2142*
    b15*b189 + 126*b15*b190 + 1764*b15*b192 + 1512*b15*b193 + 294*b15*b194 + 
    3528*b15*b195 + 252*b15*b196 + 2016*b15*b199 + 2604*b15*b200 + 4366*b15*
    b201 + 5624*b15*b202 + 4292*b15*b203 + 4810*b15*b204 + 6438*b15*b205 + 962*
    b15*b206 + 4588*b15*b207 + 3626*b15*b208 + 6290*b15*b209 + 1258*b15*b210 + 
    3774*b15*b211 + 222*b15*b212 + 3108*b15*b214 + 2664*b15*b215 + 518*b15*b216
     + 6216*b15*b217 + 444*b15*b218 + 3552*b15*b221 + 4588*b15*b222 + 4366*b15*
    b223 + 5624*b15*b224 + 4292*b15*b225 + 4810*b15*b226 + 6438*b15*b227 + 962*
    b15*b228 + 4588*b15*b229 + 3626*b15*b230 + 6290*b15*b231 + 1258*b15*b232 + 
    3774*b15*b233 + 222*b15*b234 + 3108*b15*b236 + 2664*b15*b237 + 518*b15*b238
     + 6216*b15*b239 + 444*b15*b240 + 3552*b15*b243 + 4588*b15*b244 + 7906*b15*
    b245 + 10184*b15*b246 + 7772*b15*b247 + 8710*b15*b248 + 11658*b15*b249 + 
    1742*b15*b250 + 8308*b15*b251 + 6566*b15*b252 + 11390*b15*b253 + 2278*b15*
    b254 + 6834*b15*b255 + 402*b15*b256 + 5628*b15*b258 + 4824*b15*b259 + 938*
    b15*b260 + 11256*b15*b261 + 804*b15*b262 + 6432*b15*b265 + 8308*b15*b266 + 
    10974*b15*b267 + 14136*b15*b268 + 10788*b15*b269 + 12090*b15*b270 + 16182*
    b15*b271 + 2418*b15*b272 + 11532*b15*b273 + 9114*b15*b274 + 15810*b15*b275
     + 3162*b15*b276 + 9486*b15*b277 + 558*b15*b278 + 7812*b15*b280 + 6696*b15*
    b281 + 1302*b15*b282 + 15624*b15*b283 + 1116*b15*b284 + 8928*b15*b287 + 
    11532*b15*b288 + 10974*b15*b289 + 14136*b15*b290 + 10788*b15*b291 + 12090*
    b15*b292 + 16182*b15*b293 + 2418*b15*b294 + 11532*b15*b295 + 9114*b15*b296
     + 15810*b15*b297 + 3162*b15*b298 + 9486*b15*b299 + 558*b15*b300 + 7812*b15
    *b302 + 6696*b15*b303 + 1302*b15*b304 + 15624*b15*b305 + 1116*b15*b306 + 
    8928*b15*b309 + 11532*b15*b310 + 4602*b15*b311 + 5928*b15*b312 + 4524*b15*
    b313 + 5070*b15*b314 + 6786*b15*b315 + 1014*b15*b316 + 4836*b15*b317 + 3822
    *b15*b318 + 6630*b15*b319 + 1326*b15*b320 + 3978*b15*b321 + 234*b15*b322 + 
    3276*b15*b324 + 2808*b15*b325 + 546*b15*b326 + 6552*b15*b327 + 468*b15*b328
     + 3744*b15*b331 + 4836*b15*b332 + 236*b15*b333 + 304*b15*b334 + 232*b15*
    b335 + 260*b15*b336 + 348*b15*b337 + 52*b15*b338 + 248*b15*b339 + 196*b15*
    b340 + 340*b15*b341 + 68*b15*b342 + 204*b15*b343 + 12*b15*b344 + 168*b15*
    b346 + 144*b15*b347 + 28*b15*b348 + 336*b15*b349 + 24*b15*b350 + 192*b15*
    b353 + 248*b15*b354 + 6136*b15*b355 + 7904*b15*b356 + 6032*b15*b357 + 6760*
    b15*b358 + 9048*b15*b359 + 1352*b15*b360 + 6448*b15*b361 + 5096*b15*b362 + 
    8840*b15*b363 + 1768*b15*b364 + 5304*b15*b365 + 312*b15*b366 + 4368*b15*
    b368 + 3744*b15*b369 + 728*b15*b370 + 8736*b15*b371 + 624*b15*b372 + 4992*
    b15*b375 + 6448*b15*b376 + 3068*b15*b377 + 3952*b15*b378 + 3016*b15*b379 + 
    3380*b15*b380 + 4524*b15*b381 + 676*b15*b382 + 3224*b15*b383 + 2548*b15*
    b384 + 4420*b15*b385 + 884*b15*b386 + 2652*b15*b387 + 156*b15*b388 + 2184*
    b15*b390 + 1872*b15*b391 + 364*b15*b392 + 4368*b15*b393 + 312*b15*b394 + 
    2496*b15*b397 + 3224*b15*b398 + 10620*b15*b399 + 13680*b15*b400 + 10440*b15
    *b401 + 11700*b15*b402 + 15660*b15*b403 + 2340*b15*b404 + 11160*b15*b405 + 
    8820*b15*b406 + 15300*b15*b407 + 3060*b15*b408 + 9180*b15*b409 + 540*b15*
    b410 + 7560*b15*b412 + 6480*b15*b413 + 1260*b15*b414 + 15120*b15*b415 + 
    1080*b15*b416 + 8640*b15*b419 + 11160*b15*b420 + 3068*b15*b421 + 3952*b15*
    b422 + 3016*b15*b423 + 3380*b15*b424 + 4524*b15*b425 + 676*b15*b426 + 3224*
    b15*b427 + 2548*b15*b428 + 4420*b15*b429 + 884*b15*b430 + 2652*b15*b431 + 
    156*b15*b432 + 2184*b15*b434 + 1872*b15*b435 + 364*b15*b436 + 4368*b15*b437
     + 312*b15*b438 + 2496*b15*b441 + 3224*b15*b442 + 118*b15*b443 + 152*b15*
    b444 + 116*b15*b445 + 130*b15*b446 + 174*b15*b447 + 26*b15*b448 + 124*b15*
    b449 + 98*b15*b450 + 170*b15*b451 + 34*b15*b452 + 102*b15*b453 + 6*b15*b454
     + 84*b15*b456 + 72*b15*b457 + 14*b15*b458 + 168*b15*b459 + 12*b15*b460 + 
    96*b15*b463 + 124*b15*b464 + 8024*b15*b465 + 10336*b15*b466 + 7888*b15*b467
     + 8840*b15*b468 + 11832*b15*b469 + 1768*b15*b470 + 8432*b15*b471 + 6664*
    b15*b472 + 11560*b15*b473 + 2312*b15*b474 + 6936*b15*b475 + 408*b15*b476 + 
    5712*b15*b478 + 4896*b15*b479 + 952*b15*b480 + 11424*b15*b481 + 816*b15*
    b482 + 6528*b15*b485 + 8432*b15*b486 + 10974*b15*b487 + 14136*b15*b488 + 
    10788*b15*b489 + 12090*b15*b490 + 16182*b15*b491 + 2418*b15*b492 + 11532*
    b15*b493 + 9114*b15*b494 + 15810*b15*b495 + 3162*b15*b496 + 9486*b15*b497
     + 558*b15*b498 + 7812*b15*b500 + 6696*b15*b501 + 1302*b15*b502 + 15624*b15
    *b503 + 1116*b15*b504 + 8928*b15*b507 + 11532*b15*b508 + 826*b15*b509 + 
    1064*b15*b510 + 812*b15*b511 + 910*b15*b512 + 1218*b15*b513 + 182*b15*b514
     + 868*b15*b515 + 686*b15*b516 + 1190*b15*b517 + 238*b15*b518 + 714*b15*
    b519 + 42*b15*b520 + 588*b15*b522 + 504*b15*b523 + 98*b15*b524 + 1176*b15*
    b525 + 84*b15*b526 + 672*b15*b529 + 868*b15*b530 + 6320*b15*b531 + 6794*b15
    *b532 + 9322*b15*b533 + 7840*b15*b534 + 8428*b15*b535 + 11564*b15*b536 + 
    4800*b15*b537 + 5160*b15*b538 + 7080*b15*b539 + 2800*b15*b540 + 3010*b15*
    b541 + 4130*b15*b542 + 720*b15*b543 + 774*b15*b544 + 1062*b15*b545 + 7680*
    b15*b546 + 8256*b15*b547 + 11328*b15*b548 + 5600*b15*b549 + 6020*b15*b550
     + 8260*b15*b551 + 1680*b15*b552 + 1806*b15*b553 + 2478*b15*b554 + 2960*b15
    *b555 + 3182*b15*b556 + 4366*b15*b557 + 2960*b15*b558 + 3182*b15*b559 + 
    4366*b15*b560 + 5360*b15*b561 + 5762*b15*b562 + 7906*b15*b563 + 7440*b15*
    b564 + 7998*b15*b565 + 10974*b15*b566 + 7440*b15*b567 + 7998*b15*b568 + 
    10974*b15*b569 + 3120*b15*b570 + 3354*b15*b571 + 4602*b15*b572 + 160*b15*
    b573 + 172*b15*b574 + 236*b15*b575 + 4160*b15*b576 + 4472*b15*b577 + 6136*
    b15*b578 + 2080*b15*b579 + 2236*b15*b580 + 3068*b15*b581 + 7200*b15*b582 + 
    7740*b15*b583 + 10620*b15*b584 + 2080*b15*b585 + 2236*b15*b586 + 3068*b15*
    b587 + 80*b15*b588 + 86*b15*b589 + 118*b15*b590 + 5440*b15*b591 + 5848*b15*
    b592 + 8024*b15*b593 + 7440*b15*b594 + 7998*b15*b595 + 10974*b15*b596 + 560
    *b15*b597 + 602*b15*b598 + 826*b15*b599 + 13984*b15*b600 + 10672*b15*b601
     + 11960*b15*b602 + 16008*b15*b603 + 2392*b15*b604 + 11408*b15*b605 + 9016*
    b15*b606 + 15640*b15*b607 + 3128*b15*b608 + 9384*b15*b609 + 552*b15*b610 + 
    7728*b15*b612 + 6624*b15*b613 + 7912*b15*b614 + 1288*b15*b615 + 15456*b15*
    b616 + 1104*b15*b617 + 8832*b15*b620 + 11408*b15*b621 + 10856*b15*b622 + 
    10856*b15*b623 + 2844*b16*b25 + 12008*b16*b26 + 3318*b16*b27 + 6320*b16*b28
     + 10586*b16*b29 + 3160*b16*b30 + 6478*b16*b31 + 13430*b16*b32 + 8216*b16*
    b33 + 10744*b16*b34 + 158*b16*b35 + 3318*b16*b36 + 6636*b16*b37 + 4582*b16*
    b39 + 12956*b16*b40 + 4582*b16*b41 + 474*b16*b42 + 474*b16*b43 + 8058*b16*
    b44 + 10586*b16*b45 + 6162*b16*b46 + 3528*b16*b47 + 14896*b16*b48 + 4116*
    b16*b49 + 7840*b16*b50 + 13132*b16*b51 + 3920*b16*b52 + 8036*b16*b53 + 
    16660*b16*b54 + 10192*b16*b55 + 13328*b16*b56 + 196*b16*b57 + 4116*b16*b58
     + 8232*b16*b59 + 5684*b16*b61 + 16072*b16*b62 + 5684*b16*b63 + 588*b16*b64
     + 588*b16*b65 + 9996*b16*b66 + 13132*b16*b67 + 7644*b16*b68 + 2160*b16*b69
     + 9120*b16*b70 + 2520*b16*b71 + 4800*b16*b72 + 8040*b16*b73 + 2400*b16*b74
     + 4920*b16*b75 + 10200*b16*b76 + 6240*b16*b77 + 8160*b16*b78 + 120*b16*b79
     + 2520*b16*b80 + 5040*b16*b81 + 3480*b16*b83 + 9840*b16*b84 + 3480*b16*b85
     + 360*b16*b86 + 360*b16*b87 + 6120*b16*b88 + 8040*b16*b89 + 4680*b16*b90
     + 1260*b16*b91 + 5320*b16*b92 + 1470*b16*b93 + 2800*b16*b94 + 4690*b16*b95
     + 1400*b16*b96 + 2870*b16*b97 + 5950*b16*b98 + 3640*b16*b99 + 4760*b16*
    b100 + 70*b16*b101 + 1470*b16*b102 + 2940*b16*b103 + 2030*b16*b105 + 5740*
    b16*b106 + 2030*b16*b107 + 210*b16*b108 + 210*b16*b109 + 3570*b16*b110 + 
    4690*b16*b111 + 2730*b16*b112 + 324*b16*b113 + 1368*b16*b114 + 378*b16*b115
     + 720*b16*b116 + 1206*b16*b117 + 360*b16*b118 + 738*b16*b119 + 1530*b16*
    b120 + 936*b16*b121 + 1224*b16*b122 + 18*b16*b123 + 378*b16*b124 + 756*b16*
    b125 + 522*b16*b127 + 1476*b16*b128 + 522*b16*b129 + 54*b16*b130 + 54*b16*
    b131 + 918*b16*b132 + 1206*b16*b133 + 702*b16*b134 + 3456*b16*b135 + 14592*
    b16*b136 + 4032*b16*b137 + 7680*b16*b138 + 12864*b16*b139 + 3840*b16*b140
     + 7872*b16*b141 + 16320*b16*b142 + 9984*b16*b143 + 13056*b16*b144 + 192*
    b16*b145 + 4032*b16*b146 + 8064*b16*b147 + 5568*b16*b149 + 15744*b16*b150
     + 5568*b16*b151 + 576*b16*b152 + 576*b16*b153 + 9792*b16*b154 + 12864*b16*
    b155 + 7488*b16*b156 + 2520*b16*b157 + 10640*b16*b158 + 2940*b16*b159 + 
    5600*b16*b160 + 9380*b16*b161 + 2800*b16*b162 + 5740*b16*b163 + 11900*b16*
    b164 + 7280*b16*b165 + 9520*b16*b166 + 140*b16*b167 + 2940*b16*b168 + 5880*
    b16*b169 + 4060*b16*b171 + 11480*b16*b172 + 4060*b16*b173 + 420*b16*b174 + 
    420*b16*b175 + 7140*b16*b176 + 9380*b16*b177 + 5460*b16*b178 + 756*b16*b179
     + 3192*b16*b180 + 882*b16*b181 + 1680*b16*b182 + 2814*b16*b183 + 840*b16*
    b184 + 1722*b16*b185 + 3570*b16*b186 + 2184*b16*b187 + 2856*b16*b188 + 42*
    b16*b189 + 882*b16*b190 + 1764*b16*b191 + 1218*b16*b193 + 3444*b16*b194 + 
    1218*b16*b195 + 126*b16*b196 + 126*b16*b197 + 2142*b16*b198 + 2814*b16*b199
     + 1638*b16*b200 + 1332*b16*b201 + 5624*b16*b202 + 1554*b16*b203 + 2960*b16
    *b204 + 4958*b16*b205 + 1480*b16*b206 + 3034*b16*b207 + 6290*b16*b208 + 
    3848*b16*b209 + 5032*b16*b210 + 74*b16*b211 + 1554*b16*b212 + 3108*b16*b213
     + 2146*b16*b215 + 6068*b16*b216 + 2146*b16*b217 + 222*b16*b218 + 222*b16*
    b219 + 3774*b16*b220 + 4958*b16*b221 + 2886*b16*b222 + 1332*b16*b223 + 5624
    *b16*b224 + 1554*b16*b225 + 2960*b16*b226 + 4958*b16*b227 + 1480*b16*b228
     + 3034*b16*b229 + 6290*b16*b230 + 3848*b16*b231 + 5032*b16*b232 + 74*b16*
    b233 + 1554*b16*b234 + 3108*b16*b235 + 2146*b16*b237 + 6068*b16*b238 + 2146
    *b16*b239 + 222*b16*b240 + 222*b16*b241 + 3774*b16*b242 + 4958*b16*b243 + 
    2886*b16*b244 + 2412*b16*b245 + 10184*b16*b246 + 2814*b16*b247 + 5360*b16*
    b248 + 8978*b16*b249 + 2680*b16*b250 + 5494*b16*b251 + 11390*b16*b252 + 
    6968*b16*b253 + 9112*b16*b254 + 134*b16*b255 + 2814*b16*b256 + 5628*b16*
    b257 + 3886*b16*b259 + 10988*b16*b260 + 3886*b16*b261 + 402*b16*b262 + 402*
    b16*b263 + 6834*b16*b264 + 8978*b16*b265 + 5226*b16*b266 + 3348*b16*b267 + 
    14136*b16*b268 + 3906*b16*b269 + 7440*b16*b270 + 12462*b16*b271 + 3720*b16*
    b272 + 7626*b16*b273 + 15810*b16*b274 + 9672*b16*b275 + 12648*b16*b276 + 
    186*b16*b277 + 3906*b16*b278 + 7812*b16*b279 + 5394*b16*b281 + 15252*b16*
    b282 + 5394*b16*b283 + 558*b16*b284 + 558*b16*b285 + 9486*b16*b286 + 12462*
    b16*b287 + 7254*b16*b288 + 3348*b16*b289 + 14136*b16*b290 + 3906*b16*b291
     + 7440*b16*b292 + 12462*b16*b293 + 3720*b16*b294 + 7626*b16*b295 + 15810*
    b16*b296 + 9672*b16*b297 + 12648*b16*b298 + 186*b16*b299 + 3906*b16*b300 + 
    7812*b16*b301 + 5394*b16*b303 + 15252*b16*b304 + 5394*b16*b305 + 558*b16*
    b306 + 558*b16*b307 + 9486*b16*b308 + 12462*b16*b309 + 7254*b16*b310 + 1404
    *b16*b311 + 5928*b16*b312 + 1638*b16*b313 + 3120*b16*b314 + 5226*b16*b315
     + 1560*b16*b316 + 3198*b16*b317 + 6630*b16*b318 + 4056*b16*b319 + 5304*b16
    *b320 + 78*b16*b321 + 1638*b16*b322 + 3276*b16*b323 + 2262*b16*b325 + 6396*
    b16*b326 + 2262*b16*b327 + 234*b16*b328 + 234*b16*b329 + 3978*b16*b330 + 
    5226*b16*b331 + 3042*b16*b332 + 72*b16*b333 + 304*b16*b334 + 84*b16*b335 + 
    160*b16*b336 + 268*b16*b337 + 80*b16*b338 + 164*b16*b339 + 340*b16*b340 + 
    208*b16*b341 + 272*b16*b342 + 4*b16*b343 + 84*b16*b344 + 168*b16*b345 + 116
    *b16*b347 + 328*b16*b348 + 116*b16*b349 + 12*b16*b350 + 12*b16*b351 + 204*
    b16*b352 + 268*b16*b353 + 156*b16*b354 + 1872*b16*b355 + 7904*b16*b356 + 
    2184*b16*b357 + 4160*b16*b358 + 6968*b16*b359 + 2080*b16*b360 + 4264*b16*
    b361 + 8840*b16*b362 + 5408*b16*b363 + 7072*b16*b364 + 104*b16*b365 + 2184*
    b16*b366 + 4368*b16*b367 + 3016*b16*b369 + 8528*b16*b370 + 3016*b16*b371 + 
    312*b16*b372 + 312*b16*b373 + 5304*b16*b374 + 6968*b16*b375 + 4056*b16*b376
     + 936*b16*b377 + 3952*b16*b378 + 1092*b16*b379 + 2080*b16*b380 + 3484*b16*
    b381 + 1040*b16*b382 + 2132*b16*b383 + 4420*b16*b384 + 2704*b16*b385 + 3536
    *b16*b386 + 52*b16*b387 + 1092*b16*b388 + 2184*b16*b389 + 1508*b16*b391 + 
    4264*b16*b392 + 1508*b16*b393 + 156*b16*b394 + 156*b16*b395 + 2652*b16*b396
     + 3484*b16*b397 + 2028*b16*b398 + 3240*b16*b399 + 13680*b16*b400 + 3780*
    b16*b401 + 7200*b16*b402 + 12060*b16*b403 + 3600*b16*b404 + 7380*b16*b405
     + 15300*b16*b406 + 9360*b16*b407 + 12240*b16*b408 + 180*b16*b409 + 3780*
    b16*b410 + 7560*b16*b411 + 5220*b16*b413 + 14760*b16*b414 + 5220*b16*b415
     + 540*b16*b416 + 540*b16*b417 + 9180*b16*b418 + 12060*b16*b419 + 7020*b16*
    b420 + 936*b16*b421 + 3952*b16*b422 + 1092*b16*b423 + 2080*b16*b424 + 3484*
    b16*b425 + 1040*b16*b426 + 2132*b16*b427 + 4420*b16*b428 + 2704*b16*b429 + 
    3536*b16*b430 + 52*b16*b431 + 1092*b16*b432 + 2184*b16*b433 + 1508*b16*b435
     + 4264*b16*b436 + 1508*b16*b437 + 156*b16*b438 + 156*b16*b439 + 2652*b16*
    b440 + 3484*b16*b441 + 2028*b16*b442 + 36*b16*b443 + 152*b16*b444 + 42*b16*
    b445 + 80*b16*b446 + 134*b16*b447 + 40*b16*b448 + 82*b16*b449 + 170*b16*
    b450 + 104*b16*b451 + 136*b16*b452 + 2*b16*b453 + 42*b16*b454 + 84*b16*b455
     + 58*b16*b457 + 164*b16*b458 + 58*b16*b459 + 6*b16*b460 + 6*b16*b461 + 102
    *b16*b462 + 134*b16*b463 + 78*b16*b464 + 2448*b16*b465 + 10336*b16*b466 + 
    2856*b16*b467 + 5440*b16*b468 + 9112*b16*b469 + 2720*b16*b470 + 5576*b16*
    b471 + 11560*b16*b472 + 7072*b16*b473 + 9248*b16*b474 + 136*b16*b475 + 2856
    *b16*b476 + 5712*b16*b477 + 3944*b16*b479 + 11152*b16*b480 + 3944*b16*b481
     + 408*b16*b482 + 408*b16*b483 + 6936*b16*b484 + 9112*b16*b485 + 5304*b16*
    b486 + 3348*b16*b487 + 14136*b16*b488 + 3906*b16*b489 + 7440*b16*b490 + 
    12462*b16*b491 + 3720*b16*b492 + 7626*b16*b493 + 15810*b16*b494 + 9672*b16*
    b495 + 12648*b16*b496 + 186*b16*b497 + 3906*b16*b498 + 7812*b16*b499 + 5394
    *b16*b501 + 15252*b16*b502 + 5394*b16*b503 + 558*b16*b504 + 558*b16*b505 + 
    9486*b16*b506 + 12462*b16*b507 + 7254*b16*b508 + 252*b16*b509 + 1064*b16*
    b510 + 294*b16*b511 + 560*b16*b512 + 938*b16*b513 + 280*b16*b514 + 574*b16*
    b515 + 1190*b16*b516 + 728*b16*b517 + 952*b16*b518 + 14*b16*b519 + 294*b16*
    b520 + 588*b16*b521 + 406*b16*b523 + 1148*b16*b524 + 406*b16*b525 + 42*b16*
    b526 + 42*b16*b527 + 714*b16*b528 + 938*b16*b529 + 546*b16*b530 + 11850*b16
    *b531 + 14852*b16*b532 + 2370*b16*b533 + 14700*b16*b534 + 18424*b16*b535 + 
    2940*b16*b536 + 9000*b16*b537 + 11280*b16*b538 + 1800*b16*b539 + 5250*b16*
    b540 + 6580*b16*b541 + 1050*b16*b542 + 1350*b16*b543 + 1692*b16*b544 + 270*
    b16*b545 + 14400*b16*b546 + 18048*b16*b547 + 2880*b16*b548 + 10500*b16*b549
     + 13160*b16*b550 + 2100*b16*b551 + 3150*b16*b552 + 3948*b16*b553 + 630*b16
    *b554 + 5550*b16*b555 + 6956*b16*b556 + 1110*b16*b557 + 5550*b16*b558 + 
    6956*b16*b559 + 1110*b16*b560 + 10050*b16*b561 + 12596*b16*b562 + 2010*b16*
    b563 + 13950*b16*b564 + 17484*b16*b565 + 2790*b16*b566 + 13950*b16*b567 + 
    17484*b16*b568 + 2790*b16*b569 + 5850*b16*b570 + 7332*b16*b571 + 1170*b16*
    b572 + 300*b16*b573 + 376*b16*b574 + 60*b16*b575 + 7800*b16*b576 + 9776*b16
    *b577 + 1560*b16*b578 + 3900*b16*b579 + 4888*b16*b580 + 780*b16*b581 + 
    13500*b16*b582 + 16920*b16*b583 + 2700*b16*b584 + 3900*b16*b585 + 4888*b16*
    b586 + 780*b16*b587 + 150*b16*b588 + 188*b16*b589 + 30*b16*b590 + 10200*b16
    *b591 + 12784*b16*b592 + 2040*b16*b593 + 13950*b16*b594 + 17484*b16*b595 + 
    2790*b16*b596 + 1050*b16*b597 + 1316*b16*b598 + 210*b16*b599 + 13984*b16*
    b600 + 3864*b16*b601 + 7360*b16*b602 + 12328*b16*b603 + 3680*b16*b604 + 
    7544*b16*b605 + 15640*b16*b606 + 9568*b16*b607 + 12512*b16*b608 + 184*b16*
    b609 + 3864*b16*b610 + 7728*b16*b611 + 5336*b16*b613 + 17296*b16*b614 + 
    15088*b16*b615 + 5336*b16*b616 + 552*b16*b617 + 552*b16*b618 + 9384*b16*
    b619 + 12328*b16*b620 + 7176*b16*b621 + 2760*b16*b622 + 3312*b16*b623 + 
    12008*b17*b25 + 6320*b17*b26 + 12008*b17*b27 + 8532*b17*b28 + 14852*b17*b29
     + 13588*b17*b30 + 9796*b17*b31 + 13272*b17*b32 + 5372*b17*b33 + 4266*b17*
    b34 + 14378*b17*b35 + 14220*b17*b36 + 5688*b17*b37 + 4582*b17*b38 + 6636*
    b17*b40 + 3634*b17*b41 + 9796*b17*b42 + 9796*b17*b43 + 4424*b17*b44 + 12008
    *b17*b45 + 10428*b17*b46 + 14896*b17*b47 + 7840*b17*b48 + 14896*b17*b49 + 
    10584*b17*b50 + 18424*b17*b51 + 16856*b17*b52 + 12152*b17*b53 + 16464*b17*
    b54 + 6664*b17*b55 + 5292*b17*b56 + 17836*b17*b57 + 17640*b17*b58 + 7056*
    b17*b59 + 5684*b17*b60 + 8232*b17*b62 + 4508*b17*b63 + 12152*b17*b64 + 
    12152*b17*b65 + 5488*b17*b66 + 14896*b17*b67 + 12936*b17*b68 + 9120*b17*b69
     + 4800*b17*b70 + 9120*b17*b71 + 6480*b17*b72 + 11280*b17*b73 + 10320*b17*
    b74 + 7440*b17*b75 + 10080*b17*b76 + 4080*b17*b77 + 3240*b17*b78 + 10920*
    b17*b79 + 10800*b17*b80 + 4320*b17*b81 + 3480*b17*b82 + 5040*b17*b84 + 2760
    *b17*b85 + 7440*b17*b86 + 7440*b17*b87 + 3360*b17*b88 + 9120*b17*b89 + 7920
    *b17*b90 + 5320*b17*b91 + 2800*b17*b92 + 5320*b17*b93 + 3780*b17*b94 + 6580
    *b17*b95 + 6020*b17*b96 + 4340*b17*b97 + 5880*b17*b98 + 2380*b17*b99 + 1890
    *b17*b100 + 6370*b17*b101 + 6300*b17*b102 + 2520*b17*b103 + 2030*b17*b104
     + 2940*b17*b106 + 1610*b17*b107 + 4340*b17*b108 + 4340*b17*b109 + 1960*b17
    *b110 + 5320*b17*b111 + 4620*b17*b112 + 1368*b17*b113 + 720*b17*b114 + 1368
    *b17*b115 + 972*b17*b116 + 1692*b17*b117 + 1548*b17*b118 + 1116*b17*b119 + 
    1512*b17*b120 + 612*b17*b121 + 486*b17*b122 + 1638*b17*b123 + 1620*b17*b124
     + 648*b17*b125 + 522*b17*b126 + 756*b17*b128 + 414*b17*b129 + 1116*b17*
    b130 + 1116*b17*b131 + 504*b17*b132 + 1368*b17*b133 + 1188*b17*b134 + 14592
    *b17*b135 + 7680*b17*b136 + 14592*b17*b137 + 10368*b17*b138 + 18048*b17*
    b139 + 16512*b17*b140 + 11904*b17*b141 + 16128*b17*b142 + 6528*b17*b143 + 
    5184*b17*b144 + 17472*b17*b145 + 17280*b17*b146 + 6912*b17*b147 + 5568*b17*
    b148 + 8064*b17*b150 + 4416*b17*b151 + 11904*b17*b152 + 11904*b17*b153 + 
    5376*b17*b154 + 14592*b17*b155 + 12672*b17*b156 + 10640*b17*b157 + 5600*b17
    *b158 + 10640*b17*b159 + 7560*b17*b160 + 13160*b17*b161 + 12040*b17*b162 + 
    8680*b17*b163 + 11760*b17*b164 + 4760*b17*b165 + 3780*b17*b166 + 12740*b17*
    b167 + 12600*b17*b168 + 5040*b17*b169 + 4060*b17*b170 + 5880*b17*b172 + 
    3220*b17*b173 + 8680*b17*b174 + 8680*b17*b175 + 3920*b17*b176 + 10640*b17*
    b177 + 9240*b17*b178 + 3192*b17*b179 + 1680*b17*b180 + 3192*b17*b181 + 2268
    *b17*b182 + 3948*b17*b183 + 3612*b17*b184 + 2604*b17*b185 + 3528*b17*b186
     + 1428*b17*b187 + 1134*b17*b188 + 3822*b17*b189 + 3780*b17*b190 + 1512*b17
    *b191 + 1218*b17*b192 + 1764*b17*b194 + 966*b17*b195 + 2604*b17*b196 + 2604
    *b17*b197 + 1176*b17*b198 + 3192*b17*b199 + 2772*b17*b200 + 5624*b17*b201
     + 2960*b17*b202 + 5624*b17*b203 + 3996*b17*b204 + 6956*b17*b205 + 6364*b17
    *b206 + 4588*b17*b207 + 6216*b17*b208 + 2516*b17*b209 + 1998*b17*b210 + 
    6734*b17*b211 + 6660*b17*b212 + 2664*b17*b213 + 2146*b17*b214 + 3108*b17*
    b216 + 1702*b17*b217 + 4588*b17*b218 + 4588*b17*b219 + 2072*b17*b220 + 5624
    *b17*b221 + 4884*b17*b222 + 5624*b17*b223 + 2960*b17*b224 + 5624*b17*b225
     + 3996*b17*b226 + 6956*b17*b227 + 6364*b17*b228 + 4588*b17*b229 + 6216*b17
    *b230 + 2516*b17*b231 + 1998*b17*b232 + 6734*b17*b233 + 6660*b17*b234 + 
    2664*b17*b235 + 2146*b17*b236 + 3108*b17*b238 + 1702*b17*b239 + 4588*b17*
    b240 + 4588*b17*b241 + 2072*b17*b242 + 5624*b17*b243 + 4884*b17*b244 + 
    10184*b17*b245 + 5360*b17*b246 + 10184*b17*b247 + 7236*b17*b248 + 12596*b17
    *b249 + 11524*b17*b250 + 8308*b17*b251 + 11256*b17*b252 + 4556*b17*b253 + 
    3618*b17*b254 + 12194*b17*b255 + 12060*b17*b256 + 4824*b17*b257 + 3886*b17*
    b258 + 5628*b17*b260 + 3082*b17*b261 + 8308*b17*b262 + 8308*b17*b263 + 3752
    *b17*b264 + 10184*b17*b265 + 8844*b17*b266 + 14136*b17*b267 + 7440*b17*b268
     + 14136*b17*b269 + 10044*b17*b270 + 17484*b17*b271 + 15996*b17*b272 + 
    11532*b17*b273 + 15624*b17*b274 + 6324*b17*b275 + 5022*b17*b276 + 16926*b17
    *b277 + 16740*b17*b278 + 6696*b17*b279 + 5394*b17*b280 + 7812*b17*b282 + 
    4278*b17*b283 + 11532*b17*b284 + 11532*b17*b285 + 5208*b17*b286 + 14136*b17
    *b287 + 12276*b17*b288 + 14136*b17*b289 + 7440*b17*b290 + 14136*b17*b291 + 
    10044*b17*b292 + 17484*b17*b293 + 15996*b17*b294 + 11532*b17*b295 + 15624*
    b17*b296 + 6324*b17*b297 + 5022*b17*b298 + 16926*b17*b299 + 16740*b17*b300
     + 6696*b17*b301 + 5394*b17*b302 + 7812*b17*b304 + 4278*b17*b305 + 11532*
    b17*b306 + 11532*b17*b307 + 5208*b17*b308 + 14136*b17*b309 + 12276*b17*b310
     + 5928*b17*b311 + 3120*b17*b312 + 5928*b17*b313 + 4212*b17*b314 + 7332*b17
    *b315 + 6708*b17*b316 + 4836*b17*b317 + 6552*b17*b318 + 2652*b17*b319 + 
    2106*b17*b320 + 7098*b17*b321 + 7020*b17*b322 + 2808*b17*b323 + 2262*b17*
    b324 + 3276*b17*b326 + 1794*b17*b327 + 4836*b17*b328 + 4836*b17*b329 + 2184
    *b17*b330 + 5928*b17*b331 + 5148*b17*b332 + 304*b17*b333 + 160*b17*b334 + 
    304*b17*b335 + 216*b17*b336 + 376*b17*b337 + 344*b17*b338 + 248*b17*b339 + 
    336*b17*b340 + 136*b17*b341 + 108*b17*b342 + 364*b17*b343 + 360*b17*b344 + 
    144*b17*b345 + 116*b17*b346 + 168*b17*b348 + 92*b17*b349 + 248*b17*b350 + 
    248*b17*b351 + 112*b17*b352 + 304*b17*b353 + 264*b17*b354 + 7904*b17*b355
     + 4160*b17*b356 + 7904*b17*b357 + 5616*b17*b358 + 9776*b17*b359 + 8944*b17
    *b360 + 6448*b17*b361 + 8736*b17*b362 + 3536*b17*b363 + 2808*b17*b364 + 
    9464*b17*b365 + 9360*b17*b366 + 3744*b17*b367 + 3016*b17*b368 + 4368*b17*
    b370 + 2392*b17*b371 + 6448*b17*b372 + 6448*b17*b373 + 2912*b17*b374 + 7904
    *b17*b375 + 6864*b17*b376 + 3952*b17*b377 + 2080*b17*b378 + 3952*b17*b379
     + 2808*b17*b380 + 4888*b17*b381 + 4472*b17*b382 + 3224*b17*b383 + 4368*b17
    *b384 + 1768*b17*b385 + 1404*b17*b386 + 4732*b17*b387 + 4680*b17*b388 + 
    1872*b17*b389 + 1508*b17*b390 + 2184*b17*b392 + 1196*b17*b393 + 3224*b17*
    b394 + 3224*b17*b395 + 1456*b17*b396 + 3952*b17*b397 + 3432*b17*b398 + 
    13680*b17*b399 + 7200*b17*b400 + 13680*b17*b401 + 9720*b17*b402 + 16920*b17
    *b403 + 15480*b17*b404 + 11160*b17*b405 + 15120*b17*b406 + 6120*b17*b407 + 
    4860*b17*b408 + 16380*b17*b409 + 16200*b17*b410 + 6480*b17*b411 + 5220*b17*
    b412 + 7560*b17*b414 + 4140*b17*b415 + 11160*b17*b416 + 11160*b17*b417 + 
    5040*b17*b418 + 13680*b17*b419 + 11880*b17*b420 + 3952*b17*b421 + 2080*b17*
    b422 + 3952*b17*b423 + 2808*b17*b424 + 4888*b17*b425 + 4472*b17*b426 + 3224
    *b17*b427 + 4368*b17*b428 + 1768*b17*b429 + 1404*b17*b430 + 4732*b17*b431
     + 4680*b17*b432 + 1872*b17*b433 + 1508*b17*b434 + 2184*b17*b436 + 1196*b17
    *b437 + 3224*b17*b438 + 3224*b17*b439 + 1456*b17*b440 + 3952*b17*b441 + 
    3432*b17*b442 + 152*b17*b443 + 80*b17*b444 + 152*b17*b445 + 108*b17*b446 + 
    188*b17*b447 + 172*b17*b448 + 124*b17*b449 + 168*b17*b450 + 68*b17*b451 + 
    54*b17*b452 + 182*b17*b453 + 180*b17*b454 + 72*b17*b455 + 58*b17*b456 + 84*
    b17*b458 + 46*b17*b459 + 124*b17*b460 + 124*b17*b461 + 56*b17*b462 + 152*
    b17*b463 + 132*b17*b464 + 10336*b17*b465 + 5440*b17*b466 + 10336*b17*b467
     + 7344*b17*b468 + 12784*b17*b469 + 11696*b17*b470 + 8432*b17*b471 + 11424*
    b17*b472 + 4624*b17*b473 + 3672*b17*b474 + 12376*b17*b475 + 12240*b17*b476
     + 4896*b17*b477 + 3944*b17*b478 + 5712*b17*b480 + 3128*b17*b481 + 8432*b17
    *b482 + 8432*b17*b483 + 3808*b17*b484 + 10336*b17*b485 + 8976*b17*b486 + 
    14136*b17*b487 + 7440*b17*b488 + 14136*b17*b489 + 10044*b17*b490 + 17484*
    b17*b491 + 15996*b17*b492 + 11532*b17*b493 + 15624*b17*b494 + 6324*b17*b495
     + 5022*b17*b496 + 16926*b17*b497 + 16740*b17*b498 + 6696*b17*b499 + 5394*
    b17*b500 + 7812*b17*b502 + 4278*b17*b503 + 11532*b17*b504 + 11532*b17*b505
     + 5208*b17*b506 + 14136*b17*b507 + 12276*b17*b508 + 1064*b17*b509 + 560*
    b17*b510 + 1064*b17*b511 + 756*b17*b512 + 1316*b17*b513 + 1204*b17*b514 + 
    868*b17*b515 + 1176*b17*b516 + 476*b17*b517 + 378*b17*b518 + 1274*b17*b519
     + 1260*b17*b520 + 504*b17*b521 + 406*b17*b522 + 588*b17*b524 + 322*b17*
    b525 + 868*b17*b526 + 868*b17*b527 + 392*b17*b528 + 1064*b17*b529 + 924*b17
    *b530 + 12482*b17*b531 + 10428*b17*b532 + 12956*b17*b533 + 15484*b17*b534
     + 12936*b17*b535 + 16072*b17*b536 + 9480*b17*b537 + 7920*b17*b538 + 9840*
    b17*b539 + 5530*b17*b540 + 4620*b17*b541 + 5740*b17*b542 + 1422*b17*b543 + 
    1188*b17*b544 + 1476*b17*b545 + 15168*b17*b546 + 12672*b17*b547 + 15744*b17
    *b548 + 11060*b17*b549 + 9240*b17*b550 + 11480*b17*b551 + 3318*b17*b552 + 
    2772*b17*b553 + 3444*b17*b554 + 5846*b17*b555 + 4884*b17*b556 + 6068*b17*
    b557 + 5846*b17*b558 + 4884*b17*b559 + 6068*b17*b560 + 10586*b17*b561 + 
    8844*b17*b562 + 10988*b17*b563 + 14694*b17*b564 + 12276*b17*b565 + 15252*
    b17*b566 + 14694*b17*b567 + 12276*b17*b568 + 15252*b17*b569 + 6162*b17*b570
     + 5148*b17*b571 + 6396*b17*b572 + 316*b17*b573 + 264*b17*b574 + 328*b17*
    b575 + 8216*b17*b576 + 6864*b17*b577 + 8528*b17*b578 + 4108*b17*b579 + 3432
    *b17*b580 + 4264*b17*b581 + 14220*b17*b582 + 11880*b17*b583 + 14760*b17*
    b584 + 4108*b17*b585 + 3432*b17*b586 + 4264*b17*b587 + 158*b17*b588 + 132*
    b17*b589 + 164*b17*b590 + 10744*b17*b591 + 8976*b17*b592 + 11152*b17*b593
     + 14694*b17*b594 + 12276*b17*b595 + 15252*b17*b596 + 1106*b17*b597 + 924*
    b17*b598 + 1148*b17*b599 + 7360*b17*b600 + 13984*b17*b601 + 9936*b17*b602
     + 17296*b17*b603 + 15824*b17*b604 + 11408*b17*b605 + 15456*b17*b606 + 6256
    *b17*b607 + 4968*b17*b608 + 16744*b17*b609 + 16560*b17*b610 + 6624*b17*b611
     + 5336*b17*b612 + 12144*b17*b614 + 7728*b17*b615 + 4232*b17*b616 + 11408*
    b17*b617 + 11408*b17*b618 + 5152*b17*b619 + 13984*b17*b620 + 12144*b17*b621
     + 15088*b17*b622 + 13984*b17*b623 + 2844*b18*b25 + 8848*b18*b26 + 6952*b18
    *b27 + 2212*b18*b28 + 316*b18*b29 + 12166*b18*b30 + 3950*b18*b31 + 6004*b18
    *b32 + 6320*b18*b33 + 948*b18*b34 + 13746*b18*b35 + 7426*b18*b36 + 1106*b18
    *b37 + 12956*b18*b38 + 6636*b18*b39 + 13588*b18*b41 + 9480*b18*b42 + 9796*
    b18*b43 + 9796*b18*b44 + 13114*b18*b45 + 14378*b18*b46 + 3528*b18*b47 + 
    10976*b18*b48 + 8624*b18*b49 + 2744*b18*b50 + 392*b18*b51 + 15092*b18*b52
     + 4900*b18*b53 + 7448*b18*b54 + 7840*b18*b55 + 1176*b18*b56 + 17052*b18*
    b57 + 9212*b18*b58 + 1372*b18*b59 + 16072*b18*b60 + 8232*b18*b61 + 16856*
    b18*b63 + 11760*b18*b64 + 12152*b18*b65 + 12152*b18*b66 + 16268*b18*b67 + 
    17836*b18*b68 + 2160*b18*b69 + 6720*b18*b70 + 5280*b18*b71 + 1680*b18*b72
     + 240*b18*b73 + 9240*b18*b74 + 3000*b18*b75 + 4560*b18*b76 + 4800*b18*b77
     + 720*b18*b78 + 10440*b18*b79 + 5640*b18*b80 + 840*b18*b81 + 9840*b18*b82
     + 5040*b18*b83 + 10320*b18*b85 + 7200*b18*b86 + 7440*b18*b87 + 7440*b18*
    b88 + 9960*b18*b89 + 10920*b18*b90 + 1260*b18*b91 + 3920*b18*b92 + 3080*b18
    *b93 + 980*b18*b94 + 140*b18*b95 + 5390*b18*b96 + 1750*b18*b97 + 2660*b18*
    b98 + 2800*b18*b99 + 420*b18*b100 + 6090*b18*b101 + 3290*b18*b102 + 490*b18
    *b103 + 5740*b18*b104 + 2940*b18*b105 + 6020*b18*b107 + 4200*b18*b108 + 
    4340*b18*b109 + 4340*b18*b110 + 5810*b18*b111 + 6370*b18*b112 + 324*b18*
    b113 + 1008*b18*b114 + 792*b18*b115 + 252*b18*b116 + 36*b18*b117 + 1386*b18
    *b118 + 450*b18*b119 + 684*b18*b120 + 720*b18*b121 + 108*b18*b122 + 1566*
    b18*b123 + 846*b18*b124 + 126*b18*b125 + 1476*b18*b126 + 756*b18*b127 + 
    1548*b18*b129 + 1080*b18*b130 + 1116*b18*b131 + 1116*b18*b132 + 1494*b18*
    b133 + 1638*b18*b134 + 3456*b18*b135 + 10752*b18*b136 + 8448*b18*b137 + 
    2688*b18*b138 + 384*b18*b139 + 14784*b18*b140 + 4800*b18*b141 + 7296*b18*
    b142 + 7680*b18*b143 + 1152*b18*b144 + 16704*b18*b145 + 9024*b18*b146 + 
    1344*b18*b147 + 15744*b18*b148 + 8064*b18*b149 + 16512*b18*b151 + 11520*b18
    *b152 + 11904*b18*b153 + 11904*b18*b154 + 15936*b18*b155 + 17472*b18*b156
     + 2520*b18*b157 + 7840*b18*b158 + 6160*b18*b159 + 1960*b18*b160 + 280*b18*
    b161 + 10780*b18*b162 + 3500*b18*b163 + 5320*b18*b164 + 5600*b18*b165 + 840
    *b18*b166 + 12180*b18*b167 + 6580*b18*b168 + 980*b18*b169 + 11480*b18*b170
     + 5880*b18*b171 + 12040*b18*b173 + 8400*b18*b174 + 8680*b18*b175 + 8680*
    b18*b176 + 11620*b18*b177 + 12740*b18*b178 + 756*b18*b179 + 2352*b18*b180
     + 1848*b18*b181 + 588*b18*b182 + 84*b18*b183 + 3234*b18*b184 + 1050*b18*
    b185 + 1596*b18*b186 + 1680*b18*b187 + 252*b18*b188 + 3654*b18*b189 + 1974*
    b18*b190 + 294*b18*b191 + 3444*b18*b192 + 1764*b18*b193 + 3612*b18*b195 + 
    2520*b18*b196 + 2604*b18*b197 + 2604*b18*b198 + 3486*b18*b199 + 3822*b18*
    b200 + 1332*b18*b201 + 4144*b18*b202 + 3256*b18*b203 + 1036*b18*b204 + 148*
    b18*b205 + 5698*b18*b206 + 1850*b18*b207 + 2812*b18*b208 + 2960*b18*b209 + 
    444*b18*b210 + 6438*b18*b211 + 3478*b18*b212 + 518*b18*b213 + 6068*b18*b214
     + 3108*b18*b215 + 6364*b18*b217 + 4440*b18*b218 + 4588*b18*b219 + 4588*b18
    *b220 + 6142*b18*b221 + 6734*b18*b222 + 1332*b18*b223 + 4144*b18*b224 + 
    3256*b18*b225 + 1036*b18*b226 + 148*b18*b227 + 5698*b18*b228 + 1850*b18*
    b229 + 2812*b18*b230 + 2960*b18*b231 + 444*b18*b232 + 6438*b18*b233 + 3478*
    b18*b234 + 518*b18*b235 + 6068*b18*b236 + 3108*b18*b237 + 6364*b18*b239 + 
    4440*b18*b240 + 4588*b18*b241 + 4588*b18*b242 + 6142*b18*b243 + 6734*b18*
    b244 + 2412*b18*b245 + 7504*b18*b246 + 5896*b18*b247 + 1876*b18*b248 + 268*
    b18*b249 + 10318*b18*b250 + 3350*b18*b251 + 5092*b18*b252 + 5360*b18*b253
     + 804*b18*b254 + 11658*b18*b255 + 6298*b18*b256 + 938*b18*b257 + 10988*b18
    *b258 + 5628*b18*b259 + 11524*b18*b261 + 8040*b18*b262 + 8308*b18*b263 + 
    8308*b18*b264 + 11122*b18*b265 + 12194*b18*b266 + 3348*b18*b267 + 10416*b18
    *b268 + 8184*b18*b269 + 2604*b18*b270 + 372*b18*b271 + 14322*b18*b272 + 
    4650*b18*b273 + 7068*b18*b274 + 7440*b18*b275 + 1116*b18*b276 + 16182*b18*
    b277 + 8742*b18*b278 + 1302*b18*b279 + 15252*b18*b280 + 7812*b18*b281 + 
    15996*b18*b283 + 11160*b18*b284 + 11532*b18*b285 + 11532*b18*b286 + 15438*
    b18*b287 + 16926*b18*b288 + 3348*b18*b289 + 10416*b18*b290 + 8184*b18*b291
     + 2604*b18*b292 + 372*b18*b293 + 14322*b18*b294 + 4650*b18*b295 + 7068*b18
    *b296 + 7440*b18*b297 + 1116*b18*b298 + 16182*b18*b299 + 8742*b18*b300 + 
    1302*b18*b301 + 15252*b18*b302 + 7812*b18*b303 + 15996*b18*b305 + 11160*b18
    *b306 + 11532*b18*b307 + 11532*b18*b308 + 15438*b18*b309 + 16926*b18*b310
     + 1404*b18*b311 + 4368*b18*b312 + 3432*b18*b313 + 1092*b18*b314 + 156*b18*
    b315 + 6006*b18*b316 + 1950*b18*b317 + 2964*b18*b318 + 3120*b18*b319 + 468*
    b18*b320 + 6786*b18*b321 + 3666*b18*b322 + 546*b18*b323 + 6396*b18*b324 + 
    3276*b18*b325 + 6708*b18*b327 + 4680*b18*b328 + 4836*b18*b329 + 4836*b18*
    b330 + 6474*b18*b331 + 7098*b18*b332 + 72*b18*b333 + 224*b18*b334 + 176*b18
    *b335 + 56*b18*b336 + 8*b18*b337 + 308*b18*b338 + 100*b18*b339 + 152*b18*
    b340 + 160*b18*b341 + 24*b18*b342 + 348*b18*b343 + 188*b18*b344 + 28*b18*
    b345 + 328*b18*b346 + 168*b18*b347 + 344*b18*b349 + 240*b18*b350 + 248*b18*
    b351 + 248*b18*b352 + 332*b18*b353 + 364*b18*b354 + 1872*b18*b355 + 5824*
    b18*b356 + 4576*b18*b357 + 1456*b18*b358 + 208*b18*b359 + 8008*b18*b360 + 
    2600*b18*b361 + 3952*b18*b362 + 4160*b18*b363 + 624*b18*b364 + 9048*b18*
    b365 + 4888*b18*b366 + 728*b18*b367 + 8528*b18*b368 + 4368*b18*b369 + 8944*
    b18*b371 + 6240*b18*b372 + 6448*b18*b373 + 6448*b18*b374 + 8632*b18*b375 + 
    9464*b18*b376 + 936*b18*b377 + 2912*b18*b378 + 2288*b18*b379 + 728*b18*b380
     + 104*b18*b381 + 4004*b18*b382 + 1300*b18*b383 + 1976*b18*b384 + 2080*b18*
    b385 + 312*b18*b386 + 4524*b18*b387 + 2444*b18*b388 + 364*b18*b389 + 4264*
    b18*b390 + 2184*b18*b391 + 4472*b18*b393 + 3120*b18*b394 + 3224*b18*b395 + 
    3224*b18*b396 + 4316*b18*b397 + 4732*b18*b398 + 3240*b18*b399 + 10080*b18*
    b400 + 7920*b18*b401 + 2520*b18*b402 + 360*b18*b403 + 13860*b18*b404 + 4500
    *b18*b405 + 6840*b18*b406 + 7200*b18*b407 + 1080*b18*b408 + 15660*b18*b409
     + 8460*b18*b410 + 1260*b18*b411 + 14760*b18*b412 + 7560*b18*b413 + 15480*
    b18*b415 + 10800*b18*b416 + 11160*b18*b417 + 11160*b18*b418 + 14940*b18*
    b419 + 16380*b18*b420 + 936*b18*b421 + 2912*b18*b422 + 2288*b18*b423 + 728*
    b18*b424 + 104*b18*b425 + 4004*b18*b426 + 1300*b18*b427 + 1976*b18*b428 + 
    2080*b18*b429 + 312*b18*b430 + 4524*b18*b431 + 2444*b18*b432 + 364*b18*b433
     + 4264*b18*b434 + 2184*b18*b435 + 4472*b18*b437 + 3120*b18*b438 + 3224*b18
    *b439 + 3224*b18*b440 + 4316*b18*b441 + 4732*b18*b442 + 36*b18*b443 + 112*
    b18*b444 + 88*b18*b445 + 28*b18*b446 + 4*b18*b447 + 154*b18*b448 + 50*b18*
    b449 + 76*b18*b450 + 80*b18*b451 + 12*b18*b452 + 174*b18*b453 + 94*b18*b454
     + 14*b18*b455 + 164*b18*b456 + 84*b18*b457 + 172*b18*b459 + 120*b18*b460
     + 124*b18*b461 + 124*b18*b462 + 166*b18*b463 + 182*b18*b464 + 2448*b18*
    b465 + 7616*b18*b466 + 5984*b18*b467 + 1904*b18*b468 + 272*b18*b469 + 10472
    *b18*b470 + 3400*b18*b471 + 5168*b18*b472 + 5440*b18*b473 + 816*b18*b474 + 
    11832*b18*b475 + 6392*b18*b476 + 952*b18*b477 + 11152*b18*b478 + 5712*b18*
    b479 + 11696*b18*b481 + 8160*b18*b482 + 8432*b18*b483 + 8432*b18*b484 + 
    11288*b18*b485 + 12376*b18*b486 + 3348*b18*b487 + 10416*b18*b488 + 8184*b18
    *b489 + 2604*b18*b490 + 372*b18*b491 + 14322*b18*b492 + 4650*b18*b493 + 
    7068*b18*b494 + 7440*b18*b495 + 1116*b18*b496 + 16182*b18*b497 + 8742*b18*
    b498 + 1302*b18*b499 + 15252*b18*b500 + 7812*b18*b501 + 15996*b18*b503 + 
    11160*b18*b504 + 11532*b18*b505 + 11532*b18*b506 + 15438*b18*b507 + 16926*
    b18*b508 + 252*b18*b509 + 784*b18*b510 + 616*b18*b511 + 196*b18*b512 + 28*
    b18*b513 + 1078*b18*b514 + 350*b18*b515 + 532*b18*b516 + 560*b18*b517 + 84*
    b18*b518 + 1218*b18*b519 + 658*b18*b520 + 98*b18*b521 + 1148*b18*b522 + 588
    *b18*b523 + 1204*b18*b525 + 840*b18*b526 + 868*b18*b527 + 868*b18*b528 + 
    1162*b18*b529 + 1274*b18*b530 + 14062*b18*b531 + 15484*b18*b532 + 9006*b18*
    b533 + 17444*b18*b534 + 19208*b18*b535 + 11172*b18*b536 + 10680*b18*b537 + 
    11760*b18*b538 + 6840*b18*b539 + 6230*b18*b540 + 6860*b18*b541 + 3990*b18*
    b542 + 1602*b18*b543 + 1764*b18*b544 + 1026*b18*b545 + 17088*b18*b546 + 
    18816*b18*b547 + 10944*b18*b548 + 12460*b18*b549 + 13720*b18*b550 + 7980*
    b18*b551 + 3738*b18*b552 + 4116*b18*b553 + 2394*b18*b554 + 6586*b18*b555 + 
    7252*b18*b556 + 4218*b18*b557 + 6586*b18*b558 + 7252*b18*b559 + 4218*b18*
    b560 + 11926*b18*b561 + 13132*b18*b562 + 7638*b18*b563 + 16554*b18*b564 + 
    18228*b18*b565 + 10602*b18*b566 + 16554*b18*b567 + 18228*b18*b568 + 10602*
    b18*b569 + 6942*b18*b570 + 7644*b18*b571 + 4446*b18*b572 + 356*b18*b573 + 
    392*b18*b574 + 228*b18*b575 + 9256*b18*b576 + 10192*b18*b577 + 5928*b18*
    b578 + 4628*b18*b579 + 5096*b18*b580 + 2964*b18*b581 + 16020*b18*b582 + 
    17640*b18*b583 + 10260*b18*b584 + 4628*b18*b585 + 5096*b18*b586 + 2964*b18*
    b587 + 178*b18*b588 + 196*b18*b589 + 114*b18*b590 + 12104*b18*b591 + 13328*
    b18*b592 + 7752*b18*b593 + 16554*b18*b594 + 18228*b18*b595 + 10602*b18*b596
     + 1246*b18*b597 + 1372*b18*b598 + 798*b18*b599 + 10304*b18*b600 + 8096*b18
    *b601 + 2576*b18*b602 + 368*b18*b603 + 14168*b18*b604 + 4600*b18*b605 + 
    6992*b18*b606 + 7360*b18*b607 + 1104*b18*b608 + 16008*b18*b609 + 8648*b18*
    b610 + 1288*b18*b611 + 15088*b18*b612 + 7728*b18*b613 + 18032*b18*b614 + 
    15824*b18*b616 + 11040*b18*b617 + 11408*b18*b618 + 11408*b18*b619 + 15272*
    b18*b620 + 16744*b18*b621 + 10488*b18*b622 + 3312*b18*b623 + 9006*b19*b25
     + 158*b19*b26 + 13430*b19*b27 + 11218*b19*b28 + 1580*b19*b29 + 2370*b19*
    b30 + 11850*b19*b31 + 6478*b19*b32 + 10902*b19*b33 + 10586*b19*b34 + 11376*
    b19*b35 + 3950*b19*b36 + 13272*b19*b37 + 4582*b19*b38 + 3634*b19*b39 + 
    13588*b19*b40 + 9796*b19*b42 + 5688*b19*b43 + 316*b19*b44 + 316*b19*b45 + 
    6794*b19*b46 + 11172*b19*b47 + 196*b19*b48 + 16660*b19*b49 + 13916*b19*b50
     + 1960*b19*b51 + 2940*b19*b52 + 14700*b19*b53 + 8036*b19*b54 + 13524*b19*
    b55 + 13132*b19*b56 + 14112*b19*b57 + 4900*b19*b58 + 16464*b19*b59 + 5684*
    b19*b60 + 4508*b19*b61 + 16856*b19*b62 + 12152*b19*b64 + 7056*b19*b65 + 392
    *b19*b66 + 392*b19*b67 + 8428*b19*b68 + 6840*b19*b69 + 120*b19*b70 + 10200*
    b19*b71 + 8520*b19*b72 + 1200*b19*b73 + 1800*b19*b74 + 9000*b19*b75 + 4920*
    b19*b76 + 8280*b19*b77 + 8040*b19*b78 + 8640*b19*b79 + 3000*b19*b80 + 10080
    *b19*b81 + 3480*b19*b82 + 2760*b19*b83 + 10320*b19*b84 + 7440*b19*b86 + 
    4320*b19*b87 + 240*b19*b88 + 240*b19*b89 + 5160*b19*b90 + 3990*b19*b91 + 70
    *b19*b92 + 5950*b19*b93 + 4970*b19*b94 + 700*b19*b95 + 1050*b19*b96 + 5250*
    b19*b97 + 2870*b19*b98 + 4830*b19*b99 + 4690*b19*b100 + 5040*b19*b101 + 
    1750*b19*b102 + 5880*b19*b103 + 2030*b19*b104 + 1610*b19*b105 + 6020*b19*
    b106 + 4340*b19*b108 + 2520*b19*b109 + 140*b19*b110 + 140*b19*b111 + 3010*
    b19*b112 + 1026*b19*b113 + 18*b19*b114 + 1530*b19*b115 + 1278*b19*b116 + 
    180*b19*b117 + 270*b19*b118 + 1350*b19*b119 + 738*b19*b120 + 1242*b19*b121
     + 1206*b19*b122 + 1296*b19*b123 + 450*b19*b124 + 1512*b19*b125 + 522*b19*
    b126 + 414*b19*b127 + 1548*b19*b128 + 1116*b19*b130 + 648*b19*b131 + 36*b19
    *b132 + 36*b19*b133 + 774*b19*b134 + 10944*b19*b135 + 192*b19*b136 + 16320*
    b19*b137 + 13632*b19*b138 + 1920*b19*b139 + 2880*b19*b140 + 14400*b19*b141
     + 7872*b19*b142 + 13248*b19*b143 + 12864*b19*b144 + 13824*b19*b145 + 4800*
    b19*b146 + 16128*b19*b147 + 5568*b19*b148 + 4416*b19*b149 + 16512*b19*b150
     + 11904*b19*b152 + 6912*b19*b153 + 384*b19*b154 + 384*b19*b155 + 8256*b19*
    b156 + 7980*b19*b157 + 140*b19*b158 + 11900*b19*b159 + 9940*b19*b160 + 1400
    *b19*b161 + 2100*b19*b162 + 10500*b19*b163 + 5740*b19*b164 + 9660*b19*b165
     + 9380*b19*b166 + 10080*b19*b167 + 3500*b19*b168 + 11760*b19*b169 + 4060*
    b19*b170 + 3220*b19*b171 + 12040*b19*b172 + 8680*b19*b174 + 5040*b19*b175
     + 280*b19*b176 + 280*b19*b177 + 6020*b19*b178 + 2394*b19*b179 + 42*b19*
    b180 + 3570*b19*b181 + 2982*b19*b182 + 420*b19*b183 + 630*b19*b184 + 3150*
    b19*b185 + 1722*b19*b186 + 2898*b19*b187 + 2814*b19*b188 + 3024*b19*b189 + 
    1050*b19*b190 + 3528*b19*b191 + 1218*b19*b192 + 966*b19*b193 + 3612*b19*
    b194 + 2604*b19*b196 + 1512*b19*b197 + 84*b19*b198 + 84*b19*b199 + 1806*b19
    *b200 + 4218*b19*b201 + 74*b19*b202 + 6290*b19*b203 + 5254*b19*b204 + 740*
    b19*b205 + 1110*b19*b206 + 5550*b19*b207 + 3034*b19*b208 + 5106*b19*b209 + 
    4958*b19*b210 + 5328*b19*b211 + 1850*b19*b212 + 6216*b19*b213 + 2146*b19*
    b214 + 1702*b19*b215 + 6364*b19*b216 + 4588*b19*b218 + 2664*b19*b219 + 148*
    b19*b220 + 148*b19*b221 + 3182*b19*b222 + 4218*b19*b223 + 74*b19*b224 + 
    6290*b19*b225 + 5254*b19*b226 + 740*b19*b227 + 1110*b19*b228 + 5550*b19*
    b229 + 3034*b19*b230 + 5106*b19*b231 + 4958*b19*b232 + 5328*b19*b233 + 1850
    *b19*b234 + 6216*b19*b235 + 2146*b19*b236 + 1702*b19*b237 + 6364*b19*b238
     + 4588*b19*b240 + 2664*b19*b241 + 148*b19*b242 + 148*b19*b243 + 3182*b19*
    b244 + 7638*b19*b245 + 134*b19*b246 + 11390*b19*b247 + 9514*b19*b248 + 1340
    *b19*b249 + 2010*b19*b250 + 10050*b19*b251 + 5494*b19*b252 + 9246*b19*b253
     + 8978*b19*b254 + 9648*b19*b255 + 3350*b19*b256 + 11256*b19*b257 + 3886*
    b19*b258 + 3082*b19*b259 + 11524*b19*b260 + 8308*b19*b262 + 4824*b19*b263
     + 268*b19*b264 + 268*b19*b265 + 5762*b19*b266 + 10602*b19*b267 + 186*b19*
    b268 + 15810*b19*b269 + 13206*b19*b270 + 1860*b19*b271 + 2790*b19*b272 + 
    13950*b19*b273 + 7626*b19*b274 + 12834*b19*b275 + 12462*b19*b276 + 13392*
    b19*b277 + 4650*b19*b278 + 15624*b19*b279 + 5394*b19*b280 + 4278*b19*b281
     + 15996*b19*b282 + 11532*b19*b284 + 6696*b19*b285 + 372*b19*b286 + 372*b19
    *b287 + 7998*b19*b288 + 10602*b19*b289 + 186*b19*b290 + 15810*b19*b291 + 
    13206*b19*b292 + 1860*b19*b293 + 2790*b19*b294 + 13950*b19*b295 + 7626*b19*
    b296 + 12834*b19*b297 + 12462*b19*b298 + 13392*b19*b299 + 4650*b19*b300 + 
    15624*b19*b301 + 5394*b19*b302 + 4278*b19*b303 + 15996*b19*b304 + 11532*b19
    *b306 + 6696*b19*b307 + 372*b19*b308 + 372*b19*b309 + 7998*b19*b310 + 4446*
    b19*b311 + 78*b19*b312 + 6630*b19*b313 + 5538*b19*b314 + 780*b19*b315 + 
    1170*b19*b316 + 5850*b19*b317 + 3198*b19*b318 + 5382*b19*b319 + 5226*b19*
    b320 + 5616*b19*b321 + 1950*b19*b322 + 6552*b19*b323 + 2262*b19*b324 + 1794
    *b19*b325 + 6708*b19*b326 + 4836*b19*b328 + 2808*b19*b329 + 156*b19*b330 + 
    156*b19*b331 + 3354*b19*b332 + 228*b19*b333 + 4*b19*b334 + 340*b19*b335 + 
    284*b19*b336 + 40*b19*b337 + 60*b19*b338 + 300*b19*b339 + 164*b19*b340 + 
    276*b19*b341 + 268*b19*b342 + 288*b19*b343 + 100*b19*b344 + 336*b19*b345 + 
    116*b19*b346 + 92*b19*b347 + 344*b19*b348 + 248*b19*b350 + 144*b19*b351 + 8
    *b19*b352 + 8*b19*b353 + 172*b19*b354 + 5928*b19*b355 + 104*b19*b356 + 8840
    *b19*b357 + 7384*b19*b358 + 1040*b19*b359 + 1560*b19*b360 + 7800*b19*b361
     + 4264*b19*b362 + 7176*b19*b363 + 6968*b19*b364 + 7488*b19*b365 + 2600*b19
    *b366 + 8736*b19*b367 + 3016*b19*b368 + 2392*b19*b369 + 8944*b19*b370 + 
    6448*b19*b372 + 3744*b19*b373 + 208*b19*b374 + 208*b19*b375 + 4472*b19*b376
     + 2964*b19*b377 + 52*b19*b378 + 4420*b19*b379 + 3692*b19*b380 + 520*b19*
    b381 + 780*b19*b382 + 3900*b19*b383 + 2132*b19*b384 + 3588*b19*b385 + 3484*
    b19*b386 + 3744*b19*b387 + 1300*b19*b388 + 4368*b19*b389 + 1508*b19*b390 + 
    1196*b19*b391 + 4472*b19*b392 + 3224*b19*b394 + 1872*b19*b395 + 104*b19*
    b396 + 104*b19*b397 + 2236*b19*b398 + 10260*b19*b399 + 180*b19*b400 + 15300
    *b19*b401 + 12780*b19*b402 + 1800*b19*b403 + 2700*b19*b404 + 13500*b19*b405
     + 7380*b19*b406 + 12420*b19*b407 + 12060*b19*b408 + 12960*b19*b409 + 4500*
    b19*b410 + 15120*b19*b411 + 5220*b19*b412 + 4140*b19*b413 + 15480*b19*b414
     + 11160*b19*b416 + 6480*b19*b417 + 360*b19*b418 + 360*b19*b419 + 7740*b19*
    b420 + 2964*b19*b421 + 52*b19*b422 + 4420*b19*b423 + 3692*b19*b424 + 520*
    b19*b425 + 780*b19*b426 + 3900*b19*b427 + 2132*b19*b428 + 3588*b19*b429 + 
    3484*b19*b430 + 3744*b19*b431 + 1300*b19*b432 + 4368*b19*b433 + 1508*b19*
    b434 + 1196*b19*b435 + 4472*b19*b436 + 3224*b19*b438 + 1872*b19*b439 + 104*
    b19*b440 + 104*b19*b441 + 2236*b19*b442 + 114*b19*b443 + 2*b19*b444 + 170*
    b19*b445 + 142*b19*b446 + 20*b19*b447 + 30*b19*b448 + 150*b19*b449 + 82*b19
    *b450 + 138*b19*b451 + 134*b19*b452 + 144*b19*b453 + 50*b19*b454 + 168*b19*
    b455 + 58*b19*b456 + 46*b19*b457 + 172*b19*b458 + 124*b19*b460 + 72*b19*
    b461 + 4*b19*b462 + 4*b19*b463 + 86*b19*b464 + 7752*b19*b465 + 136*b19*b466
     + 11560*b19*b467 + 9656*b19*b468 + 1360*b19*b469 + 2040*b19*b470 + 10200*
    b19*b471 + 5576*b19*b472 + 9384*b19*b473 + 9112*b19*b474 + 9792*b19*b475 + 
    3400*b19*b476 + 11424*b19*b477 + 3944*b19*b478 + 3128*b19*b479 + 11696*b19*
    b480 + 8432*b19*b482 + 4896*b19*b483 + 272*b19*b484 + 272*b19*b485 + 5848*
    b19*b486 + 10602*b19*b487 + 186*b19*b488 + 15810*b19*b489 + 13206*b19*b490
     + 1860*b19*b491 + 2790*b19*b492 + 13950*b19*b493 + 7626*b19*b494 + 12834*
    b19*b495 + 12462*b19*b496 + 13392*b19*b497 + 4650*b19*b498 + 15624*b19*b499
     + 5394*b19*b500 + 4278*b19*b501 + 15996*b19*b502 + 11532*b19*b504 + 6696*
    b19*b505 + 372*b19*b506 + 372*b19*b507 + 7998*b19*b508 + 798*b19*b509 + 14*
    b19*b510 + 1190*b19*b511 + 994*b19*b512 + 140*b19*b513 + 210*b19*b514 + 
    1050*b19*b515 + 574*b19*b516 + 966*b19*b517 + 938*b19*b518 + 1008*b19*b519
     + 350*b19*b520 + 1176*b19*b521 + 406*b19*b522 + 322*b19*b523 + 1204*b19*
    b524 + 868*b19*b526 + 504*b19*b527 + 28*b19*b528 + 28*b19*b529 + 602*b19*
    b530 + 5530*b19*b531 + 5530*b19*b532 + 10270*b19*b533 + 6860*b19*b534 + 
    6860*b19*b535 + 12740*b19*b536 + 4200*b19*b537 + 4200*b19*b538 + 7800*b19*
    b539 + 2450*b19*b540 + 2450*b19*b541 + 4550*b19*b542 + 630*b19*b543 + 630*
    b19*b544 + 1170*b19*b545 + 6720*b19*b546 + 6720*b19*b547 + 12480*b19*b548
     + 4900*b19*b549 + 4900*b19*b550 + 9100*b19*b551 + 1470*b19*b552 + 1470*b19
    *b553 + 2730*b19*b554 + 2590*b19*b555 + 2590*b19*b556 + 4810*b19*b557 + 
    2590*b19*b558 + 2590*b19*b559 + 4810*b19*b560 + 4690*b19*b561 + 4690*b19*
    b562 + 8710*b19*b563 + 6510*b19*b564 + 6510*b19*b565 + 12090*b19*b566 + 
    6510*b19*b567 + 6510*b19*b568 + 12090*b19*b569 + 2730*b19*b570 + 2730*b19*
    b571 + 5070*b19*b572 + 140*b19*b573 + 140*b19*b574 + 260*b19*b575 + 3640*
    b19*b576 + 3640*b19*b577 + 6760*b19*b578 + 1820*b19*b579 + 1820*b19*b580 + 
    3380*b19*b581 + 6300*b19*b582 + 6300*b19*b583 + 11700*b19*b584 + 1820*b19*
    b585 + 1820*b19*b586 + 3380*b19*b587 + 70*b19*b588 + 70*b19*b589 + 130*b19*
    b590 + 4760*b19*b591 + 4760*b19*b592 + 8840*b19*b593 + 6510*b19*b594 + 6510
    *b19*b595 + 12090*b19*b596 + 490*b19*b597 + 490*b19*b598 + 910*b19*b599 + 
    184*b19*b600 + 15640*b19*b601 + 13064*b19*b602 + 1840*b19*b603 + 2760*b19*
    b604 + 13800*b19*b605 + 7544*b19*b606 + 12696*b19*b607 + 12328*b19*b608 + 
    13248*b19*b609 + 4600*b19*b610 + 15456*b19*b611 + 5336*b19*b612 + 4232*b19*
    b613 + 6440*b19*b614 + 15824*b19*b615 + 11408*b19*b617 + 6624*b19*b618 + 
    368*b19*b619 + 368*b19*b620 + 7912*b19*b621 + 11960*b19*b622 + 10488*b19*
    b623 + 5688*b20*b25 + 7900*b20*b26 + 14852*b20*b27 + 12166*b20*b28 + 15642*
    b20*b29 + 14062*b20*b30 + 12008*b20*b31 + 8848*b20*b32 + 1896*b20*b33 + 
    4108*b20*b34 + 7110*b20*b35 + 4740*b20*b36 + 948*b20*b37 + 474*b20*b38 + 
    9796*b20*b39 + 9480*b20*b40 + 9796*b20*b41 + 5846*b20*b43 + 7742*b20*b44 + 
    9638*b20*b45 + 790*b20*b46 + 7056*b20*b47 + 9800*b20*b48 + 18424*b20*b49 + 
    15092*b20*b50 + 19404*b20*b51 + 17444*b20*b52 + 14896*b20*b53 + 10976*b20*
    b54 + 2352*b20*b55 + 5096*b20*b56 + 8820*b20*b57 + 5880*b20*b58 + 1176*b20*
    b59 + 588*b20*b60 + 12152*b20*b61 + 11760*b20*b62 + 12152*b20*b63 + 7252*
    b20*b65 + 9604*b20*b66 + 11956*b20*b67 + 980*b20*b68 + 4320*b20*b69 + 6000*
    b20*b70 + 11280*b20*b71 + 9240*b20*b72 + 11880*b20*b73 + 10680*b20*b74 + 
    9120*b20*b75 + 6720*b20*b76 + 1440*b20*b77 + 3120*b20*b78 + 5400*b20*b79 + 
    3600*b20*b80 + 720*b20*b81 + 360*b20*b82 + 7440*b20*b83 + 7200*b20*b84 + 
    7440*b20*b85 + 4440*b20*b87 + 5880*b20*b88 + 7320*b20*b89 + 600*b20*b90 + 
    2520*b20*b91 + 3500*b20*b92 + 6580*b20*b93 + 5390*b20*b94 + 6930*b20*b95 + 
    6230*b20*b96 + 5320*b20*b97 + 3920*b20*b98 + 840*b20*b99 + 1820*b20*b100 + 
    3150*b20*b101 + 2100*b20*b102 + 420*b20*b103 + 210*b20*b104 + 4340*b20*b105
     + 4200*b20*b106 + 4340*b20*b107 + 2590*b20*b109 + 3430*b20*b110 + 4270*b20
    *b111 + 350*b20*b112 + 648*b20*b113 + 900*b20*b114 + 1692*b20*b115 + 1386*
    b20*b116 + 1782*b20*b117 + 1602*b20*b118 + 1368*b20*b119 + 1008*b20*b120 + 
    216*b20*b121 + 468*b20*b122 + 810*b20*b123 + 540*b20*b124 + 108*b20*b125 + 
    54*b20*b126 + 1116*b20*b127 + 1080*b20*b128 + 1116*b20*b129 + 666*b20*b131
     + 882*b20*b132 + 1098*b20*b133 + 90*b20*b134 + 6912*b20*b135 + 9600*b20*
    b136 + 18048*b20*b137 + 14784*b20*b138 + 19008*b20*b139 + 17088*b20*b140 + 
    14592*b20*b141 + 10752*b20*b142 + 2304*b20*b143 + 4992*b20*b144 + 8640*b20*
    b145 + 5760*b20*b146 + 1152*b20*b147 + 576*b20*b148 + 11904*b20*b149 + 
    11520*b20*b150 + 11904*b20*b151 + 7104*b20*b153 + 9408*b20*b154 + 11712*b20
    *b155 + 960*b20*b156 + 5040*b20*b157 + 7000*b20*b158 + 13160*b20*b159 + 
    10780*b20*b160 + 13860*b20*b161 + 12460*b20*b162 + 10640*b20*b163 + 7840*
    b20*b164 + 1680*b20*b165 + 3640*b20*b166 + 6300*b20*b167 + 4200*b20*b168 + 
    840*b20*b169 + 420*b20*b170 + 8680*b20*b171 + 8400*b20*b172 + 8680*b20*b173
     + 5180*b20*b175 + 6860*b20*b176 + 8540*b20*b177 + 700*b20*b178 + 1512*b20*
    b179 + 2100*b20*b180 + 3948*b20*b181 + 3234*b20*b182 + 4158*b20*b183 + 3738
    *b20*b184 + 3192*b20*b185 + 2352*b20*b186 + 504*b20*b187 + 1092*b20*b188 + 
    1890*b20*b189 + 1260*b20*b190 + 252*b20*b191 + 126*b20*b192 + 2604*b20*b193
     + 2520*b20*b194 + 2604*b20*b195 + 1554*b20*b197 + 2058*b20*b198 + 2562*b20
    *b199 + 210*b20*b200 + 2664*b20*b201 + 3700*b20*b202 + 6956*b20*b203 + 5698
    *b20*b204 + 7326*b20*b205 + 6586*b20*b206 + 5624*b20*b207 + 4144*b20*b208
     + 888*b20*b209 + 1924*b20*b210 + 3330*b20*b211 + 2220*b20*b212 + 444*b20*
    b213 + 222*b20*b214 + 4588*b20*b215 + 4440*b20*b216 + 4588*b20*b217 + 2738*
    b20*b219 + 3626*b20*b220 + 4514*b20*b221 + 370*b20*b222 + 2664*b20*b223 + 
    3700*b20*b224 + 6956*b20*b225 + 5698*b20*b226 + 7326*b20*b227 + 6586*b20*
    b228 + 5624*b20*b229 + 4144*b20*b230 + 888*b20*b231 + 1924*b20*b232 + 3330*
    b20*b233 + 2220*b20*b234 + 444*b20*b235 + 222*b20*b236 + 4588*b20*b237 + 
    4440*b20*b238 + 4588*b20*b239 + 2738*b20*b241 + 3626*b20*b242 + 4514*b20*
    b243 + 370*b20*b244 + 4824*b20*b245 + 6700*b20*b246 + 12596*b20*b247 + 
    10318*b20*b248 + 13266*b20*b249 + 11926*b20*b250 + 10184*b20*b251 + 7504*
    b20*b252 + 1608*b20*b253 + 3484*b20*b254 + 6030*b20*b255 + 4020*b20*b256 + 
    804*b20*b257 + 402*b20*b258 + 8308*b20*b259 + 8040*b20*b260 + 8308*b20*b261
     + 4958*b20*b263 + 6566*b20*b264 + 8174*b20*b265 + 670*b20*b266 + 6696*b20*
    b267 + 9300*b20*b268 + 17484*b20*b269 + 14322*b20*b270 + 18414*b20*b271 + 
    16554*b20*b272 + 14136*b20*b273 + 10416*b20*b274 + 2232*b20*b275 + 4836*b20
    *b276 + 8370*b20*b277 + 5580*b20*b278 + 1116*b20*b279 + 558*b20*b280 + 
    11532*b20*b281 + 11160*b20*b282 + 11532*b20*b283 + 6882*b20*b285 + 9114*b20
    *b286 + 11346*b20*b287 + 930*b20*b288 + 6696*b20*b289 + 9300*b20*b290 + 
    17484*b20*b291 + 14322*b20*b292 + 18414*b20*b293 + 16554*b20*b294 + 14136*
    b20*b295 + 10416*b20*b296 + 2232*b20*b297 + 4836*b20*b298 + 8370*b20*b299
     + 5580*b20*b300 + 1116*b20*b301 + 558*b20*b302 + 11532*b20*b303 + 11160*
    b20*b304 + 11532*b20*b305 + 6882*b20*b307 + 9114*b20*b308 + 11346*b20*b309
     + 930*b20*b310 + 2808*b20*b311 + 3900*b20*b312 + 7332*b20*b313 + 6006*b20*
    b314 + 7722*b20*b315 + 6942*b20*b316 + 5928*b20*b317 + 4368*b20*b318 + 936*
    b20*b319 + 2028*b20*b320 + 3510*b20*b321 + 2340*b20*b322 + 468*b20*b323 + 
    234*b20*b324 + 4836*b20*b325 + 4680*b20*b326 + 4836*b20*b327 + 2886*b20*
    b329 + 3822*b20*b330 + 4758*b20*b331 + 390*b20*b332 + 144*b20*b333 + 200*
    b20*b334 + 376*b20*b335 + 308*b20*b336 + 396*b20*b337 + 356*b20*b338 + 304*
    b20*b339 + 224*b20*b340 + 48*b20*b341 + 104*b20*b342 + 180*b20*b343 + 120*
    b20*b344 + 24*b20*b345 + 12*b20*b346 + 248*b20*b347 + 240*b20*b348 + 248*
    b20*b349 + 148*b20*b351 + 196*b20*b352 + 244*b20*b353 + 20*b20*b354 + 3744*
    b20*b355 + 5200*b20*b356 + 9776*b20*b357 + 8008*b20*b358 + 10296*b20*b359
     + 9256*b20*b360 + 7904*b20*b361 + 5824*b20*b362 + 1248*b20*b363 + 2704*b20
    *b364 + 4680*b20*b365 + 3120*b20*b366 + 624*b20*b367 + 312*b20*b368 + 6448*
    b20*b369 + 6240*b20*b370 + 6448*b20*b371 + 3848*b20*b373 + 5096*b20*b374 + 
    6344*b20*b375 + 520*b20*b376 + 1872*b20*b377 + 2600*b20*b378 + 4888*b20*
    b379 + 4004*b20*b380 + 5148*b20*b381 + 4628*b20*b382 + 3952*b20*b383 + 2912
    *b20*b384 + 624*b20*b385 + 1352*b20*b386 + 2340*b20*b387 + 1560*b20*b388 + 
    312*b20*b389 + 156*b20*b390 + 3224*b20*b391 + 3120*b20*b392 + 3224*b20*b393
     + 1924*b20*b395 + 2548*b20*b396 + 3172*b20*b397 + 260*b20*b398 + 6480*b20*
    b399 + 9000*b20*b400 + 16920*b20*b401 + 13860*b20*b402 + 17820*b20*b403 + 
    16020*b20*b404 + 13680*b20*b405 + 10080*b20*b406 + 2160*b20*b407 + 4680*b20
    *b408 + 8100*b20*b409 + 5400*b20*b410 + 1080*b20*b411 + 540*b20*b412 + 
    11160*b20*b413 + 10800*b20*b414 + 11160*b20*b415 + 6660*b20*b417 + 8820*b20
    *b418 + 10980*b20*b419 + 900*b20*b420 + 1872*b20*b421 + 2600*b20*b422 + 
    4888*b20*b423 + 4004*b20*b424 + 5148*b20*b425 + 4628*b20*b426 + 3952*b20*
    b427 + 2912*b20*b428 + 624*b20*b429 + 1352*b20*b430 + 2340*b20*b431 + 1560*
    b20*b432 + 312*b20*b433 + 156*b20*b434 + 3224*b20*b435 + 3120*b20*b436 + 
    3224*b20*b437 + 1924*b20*b439 + 2548*b20*b440 + 3172*b20*b441 + 260*b20*
    b442 + 72*b20*b443 + 100*b20*b444 + 188*b20*b445 + 154*b20*b446 + 198*b20*
    b447 + 178*b20*b448 + 152*b20*b449 + 112*b20*b450 + 24*b20*b451 + 52*b20*
    b452 + 90*b20*b453 + 60*b20*b454 + 12*b20*b455 + 6*b20*b456 + 124*b20*b457
     + 120*b20*b458 + 124*b20*b459 + 74*b20*b461 + 98*b20*b462 + 122*b20*b463
     + 10*b20*b464 + 4896*b20*b465 + 6800*b20*b466 + 12784*b20*b467 + 10472*b20
    *b468 + 13464*b20*b469 + 12104*b20*b470 + 10336*b20*b471 + 7616*b20*b472 + 
    1632*b20*b473 + 3536*b20*b474 + 6120*b20*b475 + 4080*b20*b476 + 816*b20*
    b477 + 408*b20*b478 + 8432*b20*b479 + 8160*b20*b480 + 8432*b20*b481 + 5032*
    b20*b483 + 6664*b20*b484 + 8296*b20*b485 + 680*b20*b486 + 6696*b20*b487 + 
    9300*b20*b488 + 17484*b20*b489 + 14322*b20*b490 + 18414*b20*b491 + 16554*
    b20*b492 + 14136*b20*b493 + 10416*b20*b494 + 2232*b20*b495 + 4836*b20*b496
     + 8370*b20*b497 + 5580*b20*b498 + 1116*b20*b499 + 558*b20*b500 + 11532*b20
    *b501 + 11160*b20*b502 + 11532*b20*b503 + 6882*b20*b505 + 9114*b20*b506 + 
    11346*b20*b507 + 930*b20*b508 + 504*b20*b509 + 700*b20*b510 + 1316*b20*b511
     + 1078*b20*b512 + 1386*b20*b513 + 1246*b20*b514 + 1064*b20*b515 + 784*b20*
    b516 + 168*b20*b517 + 364*b20*b518 + 630*b20*b519 + 420*b20*b520 + 84*b20*
    b521 + 42*b20*b522 + 868*b20*b523 + 840*b20*b524 + 868*b20*b525 + 518*b20*
    b527 + 686*b20*b528 + 854*b20*b529 + 70*b20*b530 + 1422*b20*b531 + 2370*b20
    *b532 + 5372*b20*b533 + 1764*b20*b534 + 2940*b20*b535 + 6664*b20*b536 + 
    1080*b20*b537 + 1800*b20*b538 + 4080*b20*b539 + 630*b20*b540 + 1050*b20*
    b541 + 2380*b20*b542 + 162*b20*b543 + 270*b20*b544 + 612*b20*b545 + 1728*
    b20*b546 + 2880*b20*b547 + 6528*b20*b548 + 1260*b20*b549 + 2100*b20*b550 + 
    4760*b20*b551 + 378*b20*b552 + 630*b20*b553 + 1428*b20*b554 + 666*b20*b555
     + 1110*b20*b556 + 2516*b20*b557 + 666*b20*b558 + 1110*b20*b559 + 2516*b20*
    b560 + 1206*b20*b561 + 2010*b20*b562 + 4556*b20*b563 + 1674*b20*b564 + 2790
    *b20*b565 + 6324*b20*b566 + 1674*b20*b567 + 2790*b20*b568 + 6324*b20*b569
     + 702*b20*b570 + 1170*b20*b571 + 2652*b20*b572 + 36*b20*b573 + 60*b20*b574
     + 136*b20*b575 + 936*b20*b576 + 1560*b20*b577 + 3536*b20*b578 + 468*b20*
    b579 + 780*b20*b580 + 1768*b20*b581 + 1620*b20*b582 + 2700*b20*b583 + 6120*
    b20*b584 + 468*b20*b585 + 780*b20*b586 + 1768*b20*b587 + 18*b20*b588 + 30*
    b20*b589 + 68*b20*b590 + 1224*b20*b591 + 2040*b20*b592 + 4624*b20*b593 + 
    1674*b20*b594 + 2790*b20*b595 + 6324*b20*b596 + 126*b20*b597 + 210*b20*b598
     + 476*b20*b599 + 9200*b20*b600 + 17296*b20*b601 + 14168*b20*b602 + 18216*
    b20*b603 + 16376*b20*b604 + 13984*b20*b605 + 10304*b20*b606 + 2208*b20*b607
     + 4784*b20*b608 + 8280*b20*b609 + 5520*b20*b610 + 1104*b20*b611 + 552*b20*
    b612 + 11408*b20*b613 + 2760*b20*b614 + 11040*b20*b615 + 11408*b20*b616 + 
    6808*b20*b618 + 9016*b20*b619 + 11224*b20*b620 + 920*b20*b621 + 6256*b20*
    b622 + 6624*b20*b623 + 9638*b21*b25 + 632*b21*b26 + 14220*b21*b27 + 5688*
    b21*b28 + 8848*b21*b29 + 7584*b21*b30 + 6320*b21*b31 + 6162*b21*b32 + 13430
    *b21*b33 + 12956*b21*b34 + 15168*b21*b35 + 6794*b21*b36 + 474*b21*b38 + 
    9796*b21*b39 + 9796*b21*b40 + 5688*b21*b41 + 5846*b21*b42 + 8374*b21*b44 + 
    15168*b21*b45 + 12956*b21*b46 + 11956*b21*b47 + 784*b21*b48 + 17640*b21*b49
     + 7056*b21*b50 + 10976*b21*b51 + 9408*b21*b52 + 7840*b21*b53 + 7644*b21*
    b54 + 16660*b21*b55 + 16072*b21*b56 + 18816*b21*b57 + 8428*b21*b58 + 588*
    b21*b60 + 12152*b21*b61 + 12152*b21*b62 + 7056*b21*b63 + 7252*b21*b64 + 
    10388*b21*b66 + 18816*b21*b67 + 16072*b21*b68 + 7320*b21*b69 + 480*b21*b70
     + 10800*b21*b71 + 4320*b21*b72 + 6720*b21*b73 + 5760*b21*b74 + 4800*b21*
    b75 + 4680*b21*b76 + 10200*b21*b77 + 9840*b21*b78 + 11520*b21*b79 + 5160*
    b21*b80 + 360*b21*b82 + 7440*b21*b83 + 7440*b21*b84 + 4320*b21*b85 + 4440*
    b21*b86 + 6360*b21*b88 + 11520*b21*b89 + 9840*b21*b90 + 4270*b21*b91 + 280*
    b21*b92 + 6300*b21*b93 + 2520*b21*b94 + 3920*b21*b95 + 3360*b21*b96 + 2800*
    b21*b97 + 2730*b21*b98 + 5950*b21*b99 + 5740*b21*b100 + 6720*b21*b101 + 
    3010*b21*b102 + 210*b21*b104 + 4340*b21*b105 + 4340*b21*b106 + 2520*b21*
    b107 + 2590*b21*b108 + 3710*b21*b110 + 6720*b21*b111 + 5740*b21*b112 + 1098
    *b21*b113 + 72*b21*b114 + 1620*b21*b115 + 648*b21*b116 + 1008*b21*b117 + 
    864*b21*b118 + 720*b21*b119 + 702*b21*b120 + 1530*b21*b121 + 1476*b21*b122
     + 1728*b21*b123 + 774*b21*b124 + 54*b21*b126 + 1116*b21*b127 + 1116*b21*
    b128 + 648*b21*b129 + 666*b21*b130 + 954*b21*b132 + 1728*b21*b133 + 1476*
    b21*b134 + 11712*b21*b135 + 768*b21*b136 + 17280*b21*b137 + 6912*b21*b138
     + 10752*b21*b139 + 9216*b21*b140 + 7680*b21*b141 + 7488*b21*b142 + 16320*
    b21*b143 + 15744*b21*b144 + 18432*b21*b145 + 8256*b21*b146 + 576*b21*b148
     + 11904*b21*b149 + 11904*b21*b150 + 6912*b21*b151 + 7104*b21*b152 + 10176*
    b21*b154 + 18432*b21*b155 + 15744*b21*b156 + 8540*b21*b157 + 560*b21*b158
     + 12600*b21*b159 + 5040*b21*b160 + 7840*b21*b161 + 6720*b21*b162 + 5600*
    b21*b163 + 5460*b21*b164 + 11900*b21*b165 + 11480*b21*b166 + 13440*b21*b167
     + 6020*b21*b168 + 420*b21*b170 + 8680*b21*b171 + 8680*b21*b172 + 5040*b21*
    b173 + 5180*b21*b174 + 7420*b21*b176 + 13440*b21*b177 + 11480*b21*b178 + 
    2562*b21*b179 + 168*b21*b180 + 3780*b21*b181 + 1512*b21*b182 + 2352*b21*
    b183 + 2016*b21*b184 + 1680*b21*b185 + 1638*b21*b186 + 3570*b21*b187 + 3444
    *b21*b188 + 4032*b21*b189 + 1806*b21*b190 + 126*b21*b192 + 2604*b21*b193 + 
    2604*b21*b194 + 1512*b21*b195 + 1554*b21*b196 + 2226*b21*b198 + 4032*b21*
    b199 + 3444*b21*b200 + 4514*b21*b201 + 296*b21*b202 + 6660*b21*b203 + 2664*
    b21*b204 + 4144*b21*b205 + 3552*b21*b206 + 2960*b21*b207 + 2886*b21*b208 + 
    6290*b21*b209 + 6068*b21*b210 + 7104*b21*b211 + 3182*b21*b212 + 222*b21*
    b214 + 4588*b21*b215 + 4588*b21*b216 + 2664*b21*b217 + 2738*b21*b218 + 3922
    *b21*b220 + 7104*b21*b221 + 6068*b21*b222 + 4514*b21*b223 + 296*b21*b224 + 
    6660*b21*b225 + 2664*b21*b226 + 4144*b21*b227 + 3552*b21*b228 + 2960*b21*
    b229 + 2886*b21*b230 + 6290*b21*b231 + 6068*b21*b232 + 7104*b21*b233 + 3182
    *b21*b234 + 222*b21*b236 + 4588*b21*b237 + 4588*b21*b238 + 2664*b21*b239 + 
    2738*b21*b240 + 3922*b21*b242 + 7104*b21*b243 + 6068*b21*b244 + 8174*b21*
    b245 + 536*b21*b246 + 12060*b21*b247 + 4824*b21*b248 + 7504*b21*b249 + 6432
    *b21*b250 + 5360*b21*b251 + 5226*b21*b252 + 11390*b21*b253 + 10988*b21*b254
     + 12864*b21*b255 + 5762*b21*b256 + 402*b21*b258 + 8308*b21*b259 + 8308*b21
    *b260 + 4824*b21*b261 + 4958*b21*b262 + 7102*b21*b264 + 12864*b21*b265 + 
    10988*b21*b266 + 11346*b21*b267 + 744*b21*b268 + 16740*b21*b269 + 6696*b21*
    b270 + 10416*b21*b271 + 8928*b21*b272 + 7440*b21*b273 + 7254*b21*b274 + 
    15810*b21*b275 + 15252*b21*b276 + 17856*b21*b277 + 7998*b21*b278 + 558*b21*
    b280 + 11532*b21*b281 + 11532*b21*b282 + 6696*b21*b283 + 6882*b21*b284 + 
    9858*b21*b286 + 17856*b21*b287 + 15252*b21*b288 + 11346*b21*b289 + 744*b21*
    b290 + 16740*b21*b291 + 6696*b21*b292 + 10416*b21*b293 + 8928*b21*b294 + 
    7440*b21*b295 + 7254*b21*b296 + 15810*b21*b297 + 15252*b21*b298 + 17856*b21
    *b299 + 7998*b21*b300 + 558*b21*b302 + 11532*b21*b303 + 11532*b21*b304 + 
    6696*b21*b305 + 6882*b21*b306 + 9858*b21*b308 + 17856*b21*b309 + 15252*b21*
    b310 + 4758*b21*b311 + 312*b21*b312 + 7020*b21*b313 + 2808*b21*b314 + 4368*
    b21*b315 + 3744*b21*b316 + 3120*b21*b317 + 3042*b21*b318 + 6630*b21*b319 + 
    6396*b21*b320 + 7488*b21*b321 + 3354*b21*b322 + 234*b21*b324 + 4836*b21*
    b325 + 4836*b21*b326 + 2808*b21*b327 + 2886*b21*b328 + 4134*b21*b330 + 7488
    *b21*b331 + 6396*b21*b332 + 244*b21*b333 + 16*b21*b334 + 360*b21*b335 + 144
    *b21*b336 + 224*b21*b337 + 192*b21*b338 + 160*b21*b339 + 156*b21*b340 + 340
    *b21*b341 + 328*b21*b342 + 384*b21*b343 + 172*b21*b344 + 12*b21*b346 + 248*
    b21*b347 + 248*b21*b348 + 144*b21*b349 + 148*b21*b350 + 212*b21*b352 + 384*
    b21*b353 + 328*b21*b354 + 6344*b21*b355 + 416*b21*b356 + 9360*b21*b357 + 
    3744*b21*b358 + 5824*b21*b359 + 4992*b21*b360 + 4160*b21*b361 + 4056*b21*
    b362 + 8840*b21*b363 + 8528*b21*b364 + 9984*b21*b365 + 4472*b21*b366 + 312*
    b21*b368 + 6448*b21*b369 + 6448*b21*b370 + 3744*b21*b371 + 3848*b21*b372 + 
    5512*b21*b374 + 9984*b21*b375 + 8528*b21*b376 + 3172*b21*b377 + 208*b21*
    b378 + 4680*b21*b379 + 1872*b21*b380 + 2912*b21*b381 + 2496*b21*b382 + 2080
    *b21*b383 + 2028*b21*b384 + 4420*b21*b385 + 4264*b21*b386 + 4992*b21*b387
     + 2236*b21*b388 + 156*b21*b390 + 3224*b21*b391 + 3224*b21*b392 + 1872*b21*
    b393 + 1924*b21*b394 + 2756*b21*b396 + 4992*b21*b397 + 4264*b21*b398 + 
    10980*b21*b399 + 720*b21*b400 + 16200*b21*b401 + 6480*b21*b402 + 10080*b21*
    b403 + 8640*b21*b404 + 7200*b21*b405 + 7020*b21*b406 + 15300*b21*b407 + 
    14760*b21*b408 + 17280*b21*b409 + 7740*b21*b410 + 540*b21*b412 + 11160*b21*
    b413 + 11160*b21*b414 + 6480*b21*b415 + 6660*b21*b416 + 9540*b21*b418 + 
    17280*b21*b419 + 14760*b21*b420 + 3172*b21*b421 + 208*b21*b422 + 4680*b21*
    b423 + 1872*b21*b424 + 2912*b21*b425 + 2496*b21*b426 + 2080*b21*b427 + 2028
    *b21*b428 + 4420*b21*b429 + 4264*b21*b430 + 4992*b21*b431 + 2236*b21*b432
     + 156*b21*b434 + 3224*b21*b435 + 3224*b21*b436 + 1872*b21*b437 + 1924*b21*
    b438 + 2756*b21*b440 + 4992*b21*b441 + 4264*b21*b442 + 122*b21*b443 + 8*b21
    *b444 + 180*b21*b445 + 72*b21*b446 + 112*b21*b447 + 96*b21*b448 + 80*b21*
    b449 + 78*b21*b450 + 170*b21*b451 + 164*b21*b452 + 192*b21*b453 + 86*b21*
    b454 + 6*b21*b456 + 124*b21*b457 + 124*b21*b458 + 72*b21*b459 + 74*b21*b460
     + 106*b21*b462 + 192*b21*b463 + 164*b21*b464 + 8296*b21*b465 + 544*b21*
    b466 + 12240*b21*b467 + 4896*b21*b468 + 7616*b21*b469 + 6528*b21*b470 + 
    5440*b21*b471 + 5304*b21*b472 + 11560*b21*b473 + 11152*b21*b474 + 13056*b21
    *b475 + 5848*b21*b476 + 408*b21*b478 + 8432*b21*b479 + 8432*b21*b480 + 4896
    *b21*b481 + 5032*b21*b482 + 7208*b21*b484 + 13056*b21*b485 + 11152*b21*b486
     + 11346*b21*b487 + 744*b21*b488 + 16740*b21*b489 + 6696*b21*b490 + 10416*
    b21*b491 + 8928*b21*b492 + 7440*b21*b493 + 7254*b21*b494 + 15810*b21*b495
     + 15252*b21*b496 + 17856*b21*b497 + 7998*b21*b498 + 558*b21*b500 + 11532*
    b21*b501 + 11532*b21*b502 + 6696*b21*b503 + 6882*b21*b504 + 9858*b21*b506
     + 17856*b21*b507 + 15252*b21*b508 + 854*b21*b509 + 56*b21*b510 + 1260*b21*
    b511 + 504*b21*b512 + 784*b21*b513 + 672*b21*b514 + 560*b21*b515 + 546*b21*
    b516 + 1190*b21*b517 + 1148*b21*b518 + 1344*b21*b519 + 602*b21*b520 + 42*
    b21*b522 + 868*b21*b523 + 868*b21*b524 + 504*b21*b525 + 518*b21*b526 + 742*
    b21*b528 + 1344*b21*b529 + 1148*b21*b530 + 158*b21*b531 + 2686*b21*b532 + 
    7584*b21*b533 + 196*b21*b534 + 3332*b21*b535 + 9408*b21*b536 + 120*b21*b537
     + 2040*b21*b538 + 5760*b21*b539 + 70*b21*b540 + 1190*b21*b541 + 3360*b21*
    b542 + 18*b21*b543 + 306*b21*b544 + 864*b21*b545 + 192*b21*b546 + 3264*b21*
    b547 + 9216*b21*b548 + 140*b21*b549 + 2380*b21*b550 + 6720*b21*b551 + 42*
    b21*b552 + 714*b21*b553 + 2016*b21*b554 + 74*b21*b555 + 1258*b21*b556 + 
    3552*b21*b557 + 74*b21*b558 + 1258*b21*b559 + 3552*b21*b560 + 134*b21*b561
     + 2278*b21*b562 + 6432*b21*b563 + 186*b21*b564 + 3162*b21*b565 + 8928*b21*
    b566 + 186*b21*b567 + 3162*b21*b568 + 8928*b21*b569 + 78*b21*b570 + 1326*
    b21*b571 + 3744*b21*b572 + 4*b21*b573 + 68*b21*b574 + 192*b21*b575 + 104*
    b21*b576 + 1768*b21*b577 + 4992*b21*b578 + 52*b21*b579 + 884*b21*b580 + 
    2496*b21*b581 + 180*b21*b582 + 3060*b21*b583 + 8640*b21*b584 + 52*b21*b585
     + 884*b21*b586 + 2496*b21*b587 + 2*b21*b588 + 34*b21*b589 + 96*b21*b590 + 
    136*b21*b591 + 2312*b21*b592 + 6528*b21*b593 + 186*b21*b594 + 3162*b21*b595
     + 8928*b21*b596 + 14*b21*b597 + 238*b21*b598 + 672*b21*b599 + 736*b21*b600
     + 16560*b21*b601 + 6624*b21*b602 + 10304*b21*b603 + 8832*b21*b604 + 7360*
    b21*b605 + 7176*b21*b606 + 15640*b21*b607 + 15088*b21*b608 + 17664*b21*b609
     + 7912*b21*b610 + 552*b21*b612 + 11408*b21*b613 + 3128*b21*b614 + 11408*
    b21*b615 + 6624*b21*b616 + 6808*b21*b617 + 9752*b21*b619 + 17664*b21*b620
     + 15088*b21*b621 + 8832*b21*b622 + 11224*b21*b623 + 5688*b22*b25 + 5688*
    b22*b26 + 8058*b22*b27 + 8374*b22*b28 + 11060*b22*b29 + 2212*b22*b30 + 
    10428*b22*b31 + 8374*b22*b32 + 11376*b22*b33 + 6952*b22*b34 + 1106*b22*b35
     + 15326*b22*b36 + 8058*b22*b38 + 4424*b22*b39 + 9796*b22*b40 + 316*b22*b41
     + 7742*b22*b42 + 8374*b22*b43 + 4424*b22*b45 + 4898*b22*b46 + 7056*b22*b47
     + 7056*b22*b48 + 9996*b22*b49 + 10388*b22*b50 + 13720*b22*b51 + 2744*b22*
    b52 + 12936*b22*b53 + 10388*b22*b54 + 14112*b22*b55 + 8624*b22*b56 + 1372*
    b22*b57 + 19012*b22*b58 + 9996*b22*b60 + 5488*b22*b61 + 12152*b22*b62 + 392
    *b22*b63 + 9604*b22*b64 + 10388*b22*b65 + 5488*b22*b67 + 6076*b22*b68 + 
    4320*b22*b69 + 4320*b22*b70 + 6120*b22*b71 + 6360*b22*b72 + 8400*b22*b73 + 
    1680*b22*b74 + 7920*b22*b75 + 6360*b22*b76 + 8640*b22*b77 + 5280*b22*b78 + 
    840*b22*b79 + 11640*b22*b80 + 6120*b22*b82 + 3360*b22*b83 + 7440*b22*b84 + 
    240*b22*b85 + 5880*b22*b86 + 6360*b22*b87 + 3360*b22*b89 + 3720*b22*b90 + 
    2520*b22*b91 + 2520*b22*b92 + 3570*b22*b93 + 3710*b22*b94 + 4900*b22*b95 + 
    980*b22*b96 + 4620*b22*b97 + 3710*b22*b98 + 5040*b22*b99 + 3080*b22*b100 + 
    490*b22*b101 + 6790*b22*b102 + 3570*b22*b104 + 1960*b22*b105 + 4340*b22*
    b106 + 140*b22*b107 + 3430*b22*b108 + 3710*b22*b109 + 1960*b22*b111 + 2170*
    b22*b112 + 648*b22*b113 + 648*b22*b114 + 918*b22*b115 + 954*b22*b116 + 1260
    *b22*b117 + 252*b22*b118 + 1188*b22*b119 + 954*b22*b120 + 1296*b22*b121 + 
    792*b22*b122 + 126*b22*b123 + 1746*b22*b124 + 918*b22*b126 + 504*b22*b127
     + 1116*b22*b128 + 36*b22*b129 + 882*b22*b130 + 954*b22*b131 + 504*b22*b133
     + 558*b22*b134 + 6912*b22*b135 + 6912*b22*b136 + 9792*b22*b137 + 10176*b22
    *b138 + 13440*b22*b139 + 2688*b22*b140 + 12672*b22*b141 + 10176*b22*b142 + 
    13824*b22*b143 + 8448*b22*b144 + 1344*b22*b145 + 18624*b22*b146 + 9792*b22*
    b148 + 5376*b22*b149 + 11904*b22*b150 + 384*b22*b151 + 9408*b22*b152 + 
    10176*b22*b153 + 5376*b22*b155 + 5952*b22*b156 + 5040*b22*b157 + 5040*b22*
    b158 + 7140*b22*b159 + 7420*b22*b160 + 9800*b22*b161 + 1960*b22*b162 + 9240
    *b22*b163 + 7420*b22*b164 + 10080*b22*b165 + 6160*b22*b166 + 980*b22*b167
     + 13580*b22*b168 + 7140*b22*b170 + 3920*b22*b171 + 8680*b22*b172 + 280*b22
    *b173 + 6860*b22*b174 + 7420*b22*b175 + 3920*b22*b177 + 4340*b22*b178 + 
    1512*b22*b179 + 1512*b22*b180 + 2142*b22*b181 + 2226*b22*b182 + 2940*b22*
    b183 + 588*b22*b184 + 2772*b22*b185 + 2226*b22*b186 + 3024*b22*b187 + 1848*
    b22*b188 + 294*b22*b189 + 4074*b22*b190 + 2142*b22*b192 + 1176*b22*b193 + 
    2604*b22*b194 + 84*b22*b195 + 2058*b22*b196 + 2226*b22*b197 + 1176*b22*b199
     + 1302*b22*b200 + 2664*b22*b201 + 2664*b22*b202 + 3774*b22*b203 + 3922*b22
    *b204 + 5180*b22*b205 + 1036*b22*b206 + 4884*b22*b207 + 3922*b22*b208 + 
    5328*b22*b209 + 3256*b22*b210 + 518*b22*b211 + 7178*b22*b212 + 3774*b22*
    b214 + 2072*b22*b215 + 4588*b22*b216 + 148*b22*b217 + 3626*b22*b218 + 3922*
    b22*b219 + 2072*b22*b221 + 2294*b22*b222 + 2664*b22*b223 + 2664*b22*b224 + 
    3774*b22*b225 + 3922*b22*b226 + 5180*b22*b227 + 1036*b22*b228 + 4884*b22*
    b229 + 3922*b22*b230 + 5328*b22*b231 + 3256*b22*b232 + 518*b22*b233 + 7178*
    b22*b234 + 3774*b22*b236 + 2072*b22*b237 + 4588*b22*b238 + 148*b22*b239 + 
    3626*b22*b240 + 3922*b22*b241 + 2072*b22*b243 + 2294*b22*b244 + 4824*b22*
    b245 + 4824*b22*b246 + 6834*b22*b247 + 7102*b22*b248 + 9380*b22*b249 + 1876
    *b22*b250 + 8844*b22*b251 + 7102*b22*b252 + 9648*b22*b253 + 5896*b22*b254
     + 938*b22*b255 + 12998*b22*b256 + 6834*b22*b258 + 3752*b22*b259 + 8308*b22
    *b260 + 268*b22*b261 + 6566*b22*b262 + 7102*b22*b263 + 3752*b22*b265 + 4154
    *b22*b266 + 6696*b22*b267 + 6696*b22*b268 + 9486*b22*b269 + 9858*b22*b270
     + 13020*b22*b271 + 2604*b22*b272 + 12276*b22*b273 + 9858*b22*b274 + 13392*
    b22*b275 + 8184*b22*b276 + 1302*b22*b277 + 18042*b22*b278 + 9486*b22*b280
     + 5208*b22*b281 + 11532*b22*b282 + 372*b22*b283 + 9114*b22*b284 + 9858*b22
    *b285 + 5208*b22*b287 + 5766*b22*b288 + 6696*b22*b289 + 6696*b22*b290 + 
    9486*b22*b291 + 9858*b22*b292 + 13020*b22*b293 + 2604*b22*b294 + 12276*b22*
    b295 + 9858*b22*b296 + 13392*b22*b297 + 8184*b22*b298 + 1302*b22*b299 + 
    18042*b22*b300 + 9486*b22*b302 + 5208*b22*b303 + 11532*b22*b304 + 372*b22*
    b305 + 9114*b22*b306 + 9858*b22*b307 + 5208*b22*b309 + 5766*b22*b310 + 2808
    *b22*b311 + 2808*b22*b312 + 3978*b22*b313 + 4134*b22*b314 + 5460*b22*b315
     + 1092*b22*b316 + 5148*b22*b317 + 4134*b22*b318 + 5616*b22*b319 + 3432*b22
    *b320 + 546*b22*b321 + 7566*b22*b322 + 3978*b22*b324 + 2184*b22*b325 + 4836
    *b22*b326 + 156*b22*b327 + 3822*b22*b328 + 4134*b22*b329 + 2184*b22*b331 + 
    2418*b22*b332 + 144*b22*b333 + 144*b22*b334 + 204*b22*b335 + 212*b22*b336
     + 280*b22*b337 + 56*b22*b338 + 264*b22*b339 + 212*b22*b340 + 288*b22*b341
     + 176*b22*b342 + 28*b22*b343 + 388*b22*b344 + 204*b22*b346 + 112*b22*b347
     + 248*b22*b348 + 8*b22*b349 + 196*b22*b350 + 212*b22*b351 + 112*b22*b353
     + 124*b22*b354 + 3744*b22*b355 + 3744*b22*b356 + 5304*b22*b357 + 5512*b22*
    b358 + 7280*b22*b359 + 1456*b22*b360 + 6864*b22*b361 + 5512*b22*b362 + 7488
    *b22*b363 + 4576*b22*b364 + 728*b22*b365 + 10088*b22*b366 + 5304*b22*b368
     + 2912*b22*b369 + 6448*b22*b370 + 208*b22*b371 + 5096*b22*b372 + 5512*b22*
    b373 + 2912*b22*b375 + 3224*b22*b376 + 1872*b22*b377 + 1872*b22*b378 + 2652
    *b22*b379 + 2756*b22*b380 + 3640*b22*b381 + 728*b22*b382 + 3432*b22*b383 + 
    2756*b22*b384 + 3744*b22*b385 + 2288*b22*b386 + 364*b22*b387 + 5044*b22*
    b388 + 2652*b22*b390 + 1456*b22*b391 + 3224*b22*b392 + 104*b22*b393 + 2548*
    b22*b394 + 2756*b22*b395 + 1456*b22*b397 + 1612*b22*b398 + 6480*b22*b399 + 
    6480*b22*b400 + 9180*b22*b401 + 9540*b22*b402 + 12600*b22*b403 + 2520*b22*
    b404 + 11880*b22*b405 + 9540*b22*b406 + 12960*b22*b407 + 7920*b22*b408 + 
    1260*b22*b409 + 17460*b22*b410 + 9180*b22*b412 + 5040*b22*b413 + 11160*b22*
    b414 + 360*b22*b415 + 8820*b22*b416 + 9540*b22*b417 + 5040*b22*b419 + 5580*
    b22*b420 + 1872*b22*b421 + 1872*b22*b422 + 2652*b22*b423 + 2756*b22*b424 + 
    3640*b22*b425 + 728*b22*b426 + 3432*b22*b427 + 2756*b22*b428 + 3744*b22*
    b429 + 2288*b22*b430 + 364*b22*b431 + 5044*b22*b432 + 2652*b22*b434 + 1456*
    b22*b435 + 3224*b22*b436 + 104*b22*b437 + 2548*b22*b438 + 2756*b22*b439 + 
    1456*b22*b441 + 1612*b22*b442 + 72*b22*b443 + 72*b22*b444 + 102*b22*b445 + 
    106*b22*b446 + 140*b22*b447 + 28*b22*b448 + 132*b22*b449 + 106*b22*b450 + 
    144*b22*b451 + 88*b22*b452 + 14*b22*b453 + 194*b22*b454 + 102*b22*b456 + 56
    *b22*b457 + 124*b22*b458 + 4*b22*b459 + 98*b22*b460 + 106*b22*b461 + 56*b22
    *b463 + 62*b22*b464 + 4896*b22*b465 + 4896*b22*b466 + 6936*b22*b467 + 7208*
    b22*b468 + 9520*b22*b469 + 1904*b22*b470 + 8976*b22*b471 + 7208*b22*b472 + 
    9792*b22*b473 + 5984*b22*b474 + 952*b22*b475 + 13192*b22*b476 + 6936*b22*
    b478 + 3808*b22*b479 + 8432*b22*b480 + 272*b22*b481 + 6664*b22*b482 + 7208*
    b22*b483 + 3808*b22*b485 + 4216*b22*b486 + 6696*b22*b487 + 6696*b22*b488 + 
    9486*b22*b489 + 9858*b22*b490 + 13020*b22*b491 + 2604*b22*b492 + 12276*b22*
    b493 + 9858*b22*b494 + 13392*b22*b495 + 8184*b22*b496 + 1302*b22*b497 + 
    18042*b22*b498 + 9486*b22*b500 + 5208*b22*b501 + 11532*b22*b502 + 372*b22*
    b503 + 9114*b22*b504 + 9858*b22*b505 + 5208*b22*b507 + 5766*b22*b508 + 504*
    b22*b509 + 504*b22*b510 + 714*b22*b511 + 742*b22*b512 + 980*b22*b513 + 196*
    b22*b514 + 924*b22*b515 + 742*b22*b516 + 1008*b22*b517 + 616*b22*b518 + 98*
    b22*b519 + 1358*b22*b520 + 714*b22*b522 + 392*b22*b523 + 868*b22*b524 + 28*
    b22*b525 + 686*b22*b526 + 742*b22*b527 + 392*b22*b529 + 434*b22*b530 + 
    13430*b22*b531 + 12166*b22*b532 + 11850*b22*b533 + 16660*b22*b534 + 15092*
    b22*b535 + 14700*b22*b536 + 10200*b22*b537 + 9240*b22*b538 + 9000*b22*b539
     + 5950*b22*b540 + 5390*b22*b541 + 5250*b22*b542 + 1530*b22*b543 + 1386*b22
    *b544 + 1350*b22*b545 + 16320*b22*b546 + 14784*b22*b547 + 14400*b22*b548 + 
    11900*b22*b549 + 10780*b22*b550 + 10500*b22*b551 + 3570*b22*b552 + 3234*b22
    *b553 + 3150*b22*b554 + 6290*b22*b555 + 5698*b22*b556 + 5550*b22*b557 + 
    6290*b22*b558 + 5698*b22*b559 + 5550*b22*b560 + 11390*b22*b561 + 10318*b22*
    b562 + 10050*b22*b563 + 15810*b22*b564 + 14322*b22*b565 + 13950*b22*b566 + 
    15810*b22*b567 + 14322*b22*b568 + 13950*b22*b569 + 6630*b22*b570 + 6006*b22
    *b571 + 5850*b22*b572 + 340*b22*b573 + 308*b22*b574 + 300*b22*b575 + 8840*
    b22*b576 + 8008*b22*b577 + 7800*b22*b578 + 4420*b22*b579 + 4004*b22*b580 + 
    3900*b22*b581 + 15300*b22*b582 + 13860*b22*b583 + 13500*b22*b584 + 4420*b22
    *b585 + 4004*b22*b586 + 3900*b22*b587 + 170*b22*b588 + 154*b22*b589 + 150*
    b22*b590 + 11560*b22*b591 + 10472*b22*b592 + 10200*b22*b593 + 15810*b22*
    b594 + 14322*b22*b595 + 13950*b22*b596 + 1190*b22*b597 + 1078*b22*b598 + 
    1050*b22*b599 + 6624*b22*b600 + 9384*b22*b601 + 9752*b22*b602 + 12880*b22*
    b603 + 2576*b22*b604 + 12144*b22*b605 + 9752*b22*b606 + 13248*b22*b607 + 
    8096*b22*b608 + 1288*b22*b609 + 17848*b22*b610 + 9384*b22*b612 + 5152*b22*
    b613 + 14168*b22*b614 + 11408*b22*b615 + 368*b22*b616 + 9016*b22*b617 + 
    9752*b22*b618 + 5152*b22*b620 + 5704*b22*b621 + 13800*b22*b622 + 6624*b22*
    b623 + 3318*b23*b25 + 4266*b23*b26 + 474*b23*b27 + 5846*b23*b28 + 15642*b23
    *b29 + 14062*b23*b30 + 9164*b23*b31 + 12166*b23*b32 + 1106*b23*b33 + 5530*
    b23*b34 + 13746*b23*b35 + 5214*b23*b36 + 7584*b23*b37 + 10586*b23*b38 + 
    12008*b23*b39 + 13114*b23*b40 + 316*b23*b41 + 9638*b23*b42 + 15168*b23*b43
     + 4424*b23*b44 + 158*b23*b46 + 4116*b23*b47 + 5292*b23*b48 + 588*b23*b49
     + 7252*b23*b50 + 19404*b23*b51 + 17444*b23*b52 + 11368*b23*b53 + 15092*b23
    *b54 + 1372*b23*b55 + 6860*b23*b56 + 17052*b23*b57 + 6468*b23*b58 + 9408*
    b23*b59 + 13132*b23*b60 + 14896*b23*b61 + 16268*b23*b62 + 392*b23*b63 + 
    11956*b23*b64 + 18816*b23*b65 + 5488*b23*b66 + 196*b23*b68 + 2520*b23*b69
     + 3240*b23*b70 + 360*b23*b71 + 4440*b23*b72 + 11880*b23*b73 + 10680*b23*
    b74 + 6960*b23*b75 + 9240*b23*b76 + 840*b23*b77 + 4200*b23*b78 + 10440*b23*
    b79 + 3960*b23*b80 + 5760*b23*b81 + 8040*b23*b82 + 9120*b23*b83 + 9960*b23*
    b84 + 240*b23*b85 + 7320*b23*b86 + 11520*b23*b87 + 3360*b23*b88 + 120*b23*
    b90 + 1470*b23*b91 + 1890*b23*b92 + 210*b23*b93 + 2590*b23*b94 + 6930*b23*
    b95 + 6230*b23*b96 + 4060*b23*b97 + 5390*b23*b98 + 490*b23*b99 + 2450*b23*
    b100 + 6090*b23*b101 + 2310*b23*b102 + 3360*b23*b103 + 4690*b23*b104 + 5320
    *b23*b105 + 5810*b23*b106 + 140*b23*b107 + 4270*b23*b108 + 6720*b23*b109 + 
    1960*b23*b110 + 70*b23*b112 + 378*b23*b113 + 486*b23*b114 + 54*b23*b115 + 
    666*b23*b116 + 1782*b23*b117 + 1602*b23*b118 + 1044*b23*b119 + 1386*b23*
    b120 + 126*b23*b121 + 630*b23*b122 + 1566*b23*b123 + 594*b23*b124 + 864*b23
    *b125 + 1206*b23*b126 + 1368*b23*b127 + 1494*b23*b128 + 36*b23*b129 + 1098*
    b23*b130 + 1728*b23*b131 + 504*b23*b132 + 18*b23*b134 + 4032*b23*b135 + 
    5184*b23*b136 + 576*b23*b137 + 7104*b23*b138 + 19008*b23*b139 + 17088*b23*
    b140 + 11136*b23*b141 + 14784*b23*b142 + 1344*b23*b143 + 6720*b23*b144 + 
    16704*b23*b145 + 6336*b23*b146 + 9216*b23*b147 + 12864*b23*b148 + 14592*b23
    *b149 + 15936*b23*b150 + 384*b23*b151 + 11712*b23*b152 + 18432*b23*b153 + 
    5376*b23*b154 + 192*b23*b156 + 2940*b23*b157 + 3780*b23*b158 + 420*b23*b159
     + 5180*b23*b160 + 13860*b23*b161 + 12460*b23*b162 + 8120*b23*b163 + 10780*
    b23*b164 + 980*b23*b165 + 4900*b23*b166 + 12180*b23*b167 + 4620*b23*b168 + 
    6720*b23*b169 + 9380*b23*b170 + 10640*b23*b171 + 11620*b23*b172 + 280*b23*
    b173 + 8540*b23*b174 + 13440*b23*b175 + 3920*b23*b176 + 140*b23*b178 + 882*
    b23*b179 + 1134*b23*b180 + 126*b23*b181 + 1554*b23*b182 + 4158*b23*b183 + 
    3738*b23*b184 + 2436*b23*b185 + 3234*b23*b186 + 294*b23*b187 + 1470*b23*
    b188 + 3654*b23*b189 + 1386*b23*b190 + 2016*b23*b191 + 2814*b23*b192 + 3192
    *b23*b193 + 3486*b23*b194 + 84*b23*b195 + 2562*b23*b196 + 4032*b23*b197 + 
    1176*b23*b198 + 42*b23*b200 + 1554*b23*b201 + 1998*b23*b202 + 222*b23*b203
     + 2738*b23*b204 + 7326*b23*b205 + 6586*b23*b206 + 4292*b23*b207 + 5698*b23
    *b208 + 518*b23*b209 + 2590*b23*b210 + 6438*b23*b211 + 2442*b23*b212 + 3552
    *b23*b213 + 4958*b23*b214 + 5624*b23*b215 + 6142*b23*b216 + 148*b23*b217 + 
    4514*b23*b218 + 7104*b23*b219 + 2072*b23*b220 + 74*b23*b222 + 1554*b23*b223
     + 1998*b23*b224 + 222*b23*b225 + 2738*b23*b226 + 7326*b23*b227 + 6586*b23*
    b228 + 4292*b23*b229 + 5698*b23*b230 + 518*b23*b231 + 2590*b23*b232 + 6438*
    b23*b233 + 2442*b23*b234 + 3552*b23*b235 + 4958*b23*b236 + 5624*b23*b237 + 
    6142*b23*b238 + 148*b23*b239 + 4514*b23*b240 + 7104*b23*b241 + 2072*b23*
    b242 + 74*b23*b244 + 2814*b23*b245 + 3618*b23*b246 + 402*b23*b247 + 4958*
    b23*b248 + 13266*b23*b249 + 11926*b23*b250 + 7772*b23*b251 + 10318*b23*b252
     + 938*b23*b253 + 4690*b23*b254 + 11658*b23*b255 + 4422*b23*b256 + 6432*b23
    *b257 + 8978*b23*b258 + 10184*b23*b259 + 11122*b23*b260 + 268*b23*b261 + 
    8174*b23*b262 + 12864*b23*b263 + 3752*b23*b264 + 134*b23*b266 + 3906*b23*
    b267 + 5022*b23*b268 + 558*b23*b269 + 6882*b23*b270 + 18414*b23*b271 + 
    16554*b23*b272 + 10788*b23*b273 + 14322*b23*b274 + 1302*b23*b275 + 6510*b23
    *b276 + 16182*b23*b277 + 6138*b23*b278 + 8928*b23*b279 + 12462*b23*b280 + 
    14136*b23*b281 + 15438*b23*b282 + 372*b23*b283 + 11346*b23*b284 + 17856*b23
    *b285 + 5208*b23*b286 + 186*b23*b288 + 3906*b23*b289 + 5022*b23*b290 + 558*
    b23*b291 + 6882*b23*b292 + 18414*b23*b293 + 16554*b23*b294 + 10788*b23*b295
     + 14322*b23*b296 + 1302*b23*b297 + 6510*b23*b298 + 16182*b23*b299 + 6138*
    b23*b300 + 8928*b23*b301 + 12462*b23*b302 + 14136*b23*b303 + 15438*b23*b304
     + 372*b23*b305 + 11346*b23*b306 + 17856*b23*b307 + 5208*b23*b308 + 186*b23
    *b310 + 1638*b23*b311 + 2106*b23*b312 + 234*b23*b313 + 2886*b23*b314 + 7722
    *b23*b315 + 6942*b23*b316 + 4524*b23*b317 + 6006*b23*b318 + 546*b23*b319 + 
    2730*b23*b320 + 6786*b23*b321 + 2574*b23*b322 + 3744*b23*b323 + 5226*b23*
    b324 + 5928*b23*b325 + 6474*b23*b326 + 156*b23*b327 + 4758*b23*b328 + 7488*
    b23*b329 + 2184*b23*b330 + 78*b23*b332 + 84*b23*b333 + 108*b23*b334 + 12*
    b23*b335 + 148*b23*b336 + 396*b23*b337 + 356*b23*b338 + 232*b23*b339 + 308*
    b23*b340 + 28*b23*b341 + 140*b23*b342 + 348*b23*b343 + 132*b23*b344 + 192*
    b23*b345 + 268*b23*b346 + 304*b23*b347 + 332*b23*b348 + 8*b23*b349 + 244*
    b23*b350 + 384*b23*b351 + 112*b23*b352 + 4*b23*b354 + 2184*b23*b355 + 2808*
    b23*b356 + 312*b23*b357 + 3848*b23*b358 + 10296*b23*b359 + 9256*b23*b360 + 
    6032*b23*b361 + 8008*b23*b362 + 728*b23*b363 + 3640*b23*b364 + 9048*b23*
    b365 + 3432*b23*b366 + 4992*b23*b367 + 6968*b23*b368 + 7904*b23*b369 + 8632
    *b23*b370 + 208*b23*b371 + 6344*b23*b372 + 9984*b23*b373 + 2912*b23*b374 + 
    104*b23*b376 + 1092*b23*b377 + 1404*b23*b378 + 156*b23*b379 + 1924*b23*b380
     + 5148*b23*b381 + 4628*b23*b382 + 3016*b23*b383 + 4004*b23*b384 + 364*b23*
    b385 + 1820*b23*b386 + 4524*b23*b387 + 1716*b23*b388 + 2496*b23*b389 + 3484
    *b23*b390 + 3952*b23*b391 + 4316*b23*b392 + 104*b23*b393 + 3172*b23*b394 + 
    4992*b23*b395 + 1456*b23*b396 + 52*b23*b398 + 3780*b23*b399 + 4860*b23*b400
     + 540*b23*b401 + 6660*b23*b402 + 17820*b23*b403 + 16020*b23*b404 + 10440*
    b23*b405 + 13860*b23*b406 + 1260*b23*b407 + 6300*b23*b408 + 15660*b23*b409
     + 5940*b23*b410 + 8640*b23*b411 + 12060*b23*b412 + 13680*b23*b413 + 14940*
    b23*b414 + 360*b23*b415 + 10980*b23*b416 + 17280*b23*b417 + 5040*b23*b418
     + 180*b23*b420 + 1092*b23*b421 + 1404*b23*b422 + 156*b23*b423 + 1924*b23*
    b424 + 5148*b23*b425 + 4628*b23*b426 + 3016*b23*b427 + 4004*b23*b428 + 364*
    b23*b429 + 1820*b23*b430 + 4524*b23*b431 + 1716*b23*b432 + 2496*b23*b433 + 
    3484*b23*b434 + 3952*b23*b435 + 4316*b23*b436 + 104*b23*b437 + 3172*b23*
    b438 + 4992*b23*b439 + 1456*b23*b440 + 52*b23*b442 + 42*b23*b443 + 54*b23*
    b444 + 6*b23*b445 + 74*b23*b446 + 198*b23*b447 + 178*b23*b448 + 116*b23*
    b449 + 154*b23*b450 + 14*b23*b451 + 70*b23*b452 + 174*b23*b453 + 66*b23*
    b454 + 96*b23*b455 + 134*b23*b456 + 152*b23*b457 + 166*b23*b458 + 4*b23*
    b459 + 122*b23*b460 + 192*b23*b461 + 56*b23*b462 + 2*b23*b464 + 2856*b23*
    b465 + 3672*b23*b466 + 408*b23*b467 + 5032*b23*b468 + 13464*b23*b469 + 
    12104*b23*b470 + 7888*b23*b471 + 10472*b23*b472 + 952*b23*b473 + 4760*b23*
    b474 + 11832*b23*b475 + 4488*b23*b476 + 6528*b23*b477 + 9112*b23*b478 + 
    10336*b23*b479 + 11288*b23*b480 + 272*b23*b481 + 8296*b23*b482 + 13056*b23*
    b483 + 3808*b23*b484 + 136*b23*b486 + 3906*b23*b487 + 5022*b23*b488 + 558*
    b23*b489 + 6882*b23*b490 + 18414*b23*b491 + 16554*b23*b492 + 10788*b23*b493
     + 14322*b23*b494 + 1302*b23*b495 + 6510*b23*b496 + 16182*b23*b497 + 6138*
    b23*b498 + 8928*b23*b499 + 12462*b23*b500 + 14136*b23*b501 + 15438*b23*b502
     + 372*b23*b503 + 11346*b23*b504 + 17856*b23*b505 + 5208*b23*b506 + 186*b23
    *b508 + 294*b23*b509 + 378*b23*b510 + 42*b23*b511 + 518*b23*b512 + 1386*b23
    *b513 + 1246*b23*b514 + 812*b23*b515 + 1078*b23*b516 + 98*b23*b517 + 490*
    b23*b518 + 1218*b23*b519 + 462*b23*b520 + 672*b23*b521 + 938*b23*b522 + 
    1064*b23*b523 + 1162*b23*b524 + 28*b23*b525 + 854*b23*b526 + 1344*b23*b527
     + 392*b23*b528 + 14*b23*b530 + 13272*b23*b531 + 6952*b23*b532 + 15010*b23*
    b533 + 16464*b23*b534 + 8624*b23*b535 + 18620*b23*b536 + 10080*b23*b537 + 
    5280*b23*b538 + 11400*b23*b539 + 5880*b23*b540 + 3080*b23*b541 + 6650*b23*
    b542 + 1512*b23*b543 + 792*b23*b544 + 1710*b23*b545 + 16128*b23*b546 + 8448
    *b23*b547 + 18240*b23*b548 + 11760*b23*b549 + 6160*b23*b550 + 13300*b23*
    b551 + 3528*b23*b552 + 1848*b23*b553 + 3990*b23*b554 + 6216*b23*b555 + 3256
    *b23*b556 + 7030*b23*b557 + 6216*b23*b558 + 3256*b23*b559 + 7030*b23*b560
     + 11256*b23*b561 + 5896*b23*b562 + 12730*b23*b563 + 15624*b23*b564 + 8184*
    b23*b565 + 17670*b23*b566 + 15624*b23*b567 + 8184*b23*b568 + 17670*b23*b569
     + 6552*b23*b570 + 3432*b23*b571 + 7410*b23*b572 + 336*b23*b573 + 176*b23*
    b574 + 380*b23*b575 + 8736*b23*b576 + 4576*b23*b577 + 9880*b23*b578 + 4368*
    b23*b579 + 2288*b23*b580 + 4940*b23*b581 + 15120*b23*b582 + 7920*b23*b583
     + 17100*b23*b584 + 4368*b23*b585 + 2288*b23*b586 + 4940*b23*b587 + 168*b23
    *b588 + 88*b23*b589 + 190*b23*b590 + 11424*b23*b591 + 5984*b23*b592 + 12920
    *b23*b593 + 15624*b23*b594 + 8184*b23*b595 + 17670*b23*b596 + 1176*b23*b597
     + 616*b23*b598 + 1330*b23*b599 + 4968*b23*b600 + 552*b23*b601 + 6808*b23*
    b602 + 18216*b23*b603 + 16376*b23*b604 + 10672*b23*b605 + 14168*b23*b606 + 
    1288*b23*b607 + 6440*b23*b608 + 16008*b23*b609 + 6072*b23*b610 + 8832*b23*
    b611 + 12328*b23*b612 + 13984*b23*b613 + 8096*b23*b614 + 15272*b23*b615 + 
    368*b23*b616 + 11224*b23*b617 + 17664*b23*b618 + 5152*b23*b619 + 184*b23*
    b621 + 17480*b23*b622 + 3864*b23*b623 + 11218*b24*b25 + 13430*b24*b26 + 
    7584*b24*b27 + 4108*b24*b28 + 9480*b24*b29 + 6952*b24*b30 + 4740*b24*b31 + 
    7900*b24*b32 + 7742*b24*b33 + 474*b24*b34 + 10744*b24*b35 + 5530*b24*b36 + 
    9796*b24*b37 + 6162*b24*b38 + 10428*b24*b39 + 14378*b24*b40 + 6794*b24*b41
     + 790*b24*b42 + 12956*b24*b43 + 4898*b24*b44 + 158*b24*b45 + 13916*b24*b47
     + 16660*b24*b48 + 9408*b24*b49 + 5096*b24*b50 + 11760*b24*b51 + 8624*b24*
    b52 + 5880*b24*b53 + 9800*b24*b54 + 9604*b24*b55 + 588*b24*b56 + 13328*b24*
    b57 + 6860*b24*b58 + 12152*b24*b59 + 7644*b24*b60 + 12936*b24*b61 + 17836*
    b24*b62 + 8428*b24*b63 + 980*b24*b64 + 16072*b24*b65 + 6076*b24*b66 + 196*
    b24*b67 + 8520*b24*b69 + 10200*b24*b70 + 5760*b24*b71 + 3120*b24*b72 + 7200
    *b24*b73 + 5280*b24*b74 + 3600*b24*b75 + 6000*b24*b76 + 5880*b24*b77 + 360*
    b24*b78 + 8160*b24*b79 + 4200*b24*b80 + 7440*b24*b81 + 4680*b24*b82 + 7920*
    b24*b83 + 10920*b24*b84 + 5160*b24*b85 + 600*b24*b86 + 9840*b24*b87 + 3720*
    b24*b88 + 120*b24*b89 + 4970*b24*b91 + 5950*b24*b92 + 3360*b24*b93 + 1820*
    b24*b94 + 4200*b24*b95 + 3080*b24*b96 + 2100*b24*b97 + 3500*b24*b98 + 3430*
    b24*b99 + 210*b24*b100 + 4760*b24*b101 + 2450*b24*b102 + 4340*b24*b103 + 
    2730*b24*b104 + 4620*b24*b105 + 6370*b24*b106 + 3010*b24*b107 + 350*b24*
    b108 + 5740*b24*b109 + 2170*b24*b110 + 70*b24*b111 + 1278*b24*b113 + 1530*
    b24*b114 + 864*b24*b115 + 468*b24*b116 + 1080*b24*b117 + 792*b24*b118 + 540
    *b24*b119 + 900*b24*b120 + 882*b24*b121 + 54*b24*b122 + 1224*b24*b123 + 630
    *b24*b124 + 1116*b24*b125 + 702*b24*b126 + 1188*b24*b127 + 1638*b24*b128 + 
    774*b24*b129 + 90*b24*b130 + 1476*b24*b131 + 558*b24*b132 + 18*b24*b133 + 
    13632*b24*b135 + 16320*b24*b136 + 9216*b24*b137 + 4992*b24*b138 + 11520*b24
    *b139 + 8448*b24*b140 + 5760*b24*b141 + 9600*b24*b142 + 9408*b24*b143 + 576
    *b24*b144 + 13056*b24*b145 + 6720*b24*b146 + 11904*b24*b147 + 7488*b24*b148
     + 12672*b24*b149 + 17472*b24*b150 + 8256*b24*b151 + 960*b24*b152 + 15744*
    b24*b153 + 5952*b24*b154 + 192*b24*b155 + 9940*b24*b157 + 11900*b24*b158 + 
    6720*b24*b159 + 3640*b24*b160 + 8400*b24*b161 + 6160*b24*b162 + 4200*b24*
    b163 + 7000*b24*b164 + 6860*b24*b165 + 420*b24*b166 + 9520*b24*b167 + 4900*
    b24*b168 + 8680*b24*b169 + 5460*b24*b170 + 9240*b24*b171 + 12740*b24*b172
     + 6020*b24*b173 + 700*b24*b174 + 11480*b24*b175 + 4340*b24*b176 + 140*b24*
    b177 + 2982*b24*b179 + 3570*b24*b180 + 2016*b24*b181 + 1092*b24*b182 + 2520
    *b24*b183 + 1848*b24*b184 + 1260*b24*b185 + 2100*b24*b186 + 2058*b24*b187
     + 126*b24*b188 + 2856*b24*b189 + 1470*b24*b190 + 2604*b24*b191 + 1638*b24*
    b192 + 2772*b24*b193 + 3822*b24*b194 + 1806*b24*b195 + 210*b24*b196 + 3444*
    b24*b197 + 1302*b24*b198 + 42*b24*b199 + 5254*b24*b201 + 6290*b24*b202 + 
    3552*b24*b203 + 1924*b24*b204 + 4440*b24*b205 + 3256*b24*b206 + 2220*b24*
    b207 + 3700*b24*b208 + 3626*b24*b209 + 222*b24*b210 + 5032*b24*b211 + 2590*
    b24*b212 + 4588*b24*b213 + 2886*b24*b214 + 4884*b24*b215 + 6734*b24*b216 + 
    3182*b24*b217 + 370*b24*b218 + 6068*b24*b219 + 2294*b24*b220 + 74*b24*b221
     + 5254*b24*b223 + 6290*b24*b224 + 3552*b24*b225 + 1924*b24*b226 + 4440*b24
    *b227 + 3256*b24*b228 + 2220*b24*b229 + 3700*b24*b230 + 3626*b24*b231 + 222
    *b24*b232 + 5032*b24*b233 + 2590*b24*b234 + 4588*b24*b235 + 2886*b24*b236
     + 4884*b24*b237 + 6734*b24*b238 + 3182*b24*b239 + 370*b24*b240 + 6068*b24*
    b241 + 2294*b24*b242 + 74*b24*b243 + 9514*b24*b245 + 11390*b24*b246 + 6432*
    b24*b247 + 3484*b24*b248 + 8040*b24*b249 + 5896*b24*b250 + 4020*b24*b251 + 
    6700*b24*b252 + 6566*b24*b253 + 402*b24*b254 + 9112*b24*b255 + 4690*b24*
    b256 + 8308*b24*b257 + 5226*b24*b258 + 8844*b24*b259 + 12194*b24*b260 + 
    5762*b24*b261 + 670*b24*b262 + 10988*b24*b263 + 4154*b24*b264 + 134*b24*
    b265 + 13206*b24*b267 + 15810*b24*b268 + 8928*b24*b269 + 4836*b24*b270 + 
    11160*b24*b271 + 8184*b24*b272 + 5580*b24*b273 + 9300*b24*b274 + 9114*b24*
    b275 + 558*b24*b276 + 12648*b24*b277 + 6510*b24*b278 + 11532*b24*b279 + 
    7254*b24*b280 + 12276*b24*b281 + 16926*b24*b282 + 7998*b24*b283 + 930*b24*
    b284 + 15252*b24*b285 + 5766*b24*b286 + 186*b24*b287 + 13206*b24*b289 + 
    15810*b24*b290 + 8928*b24*b291 + 4836*b24*b292 + 11160*b24*b293 + 8184*b24*
    b294 + 5580*b24*b295 + 9300*b24*b296 + 9114*b24*b297 + 558*b24*b298 + 12648
    *b24*b299 + 6510*b24*b300 + 11532*b24*b301 + 7254*b24*b302 + 12276*b24*b303
     + 16926*b24*b304 + 7998*b24*b305 + 930*b24*b306 + 15252*b24*b307 + 5766*
    b24*b308 + 186*b24*b309 + 5538*b24*b311 + 6630*b24*b312 + 3744*b24*b313 + 
    2028*b24*b314 + 4680*b24*b315 + 3432*b24*b316 + 2340*b24*b317 + 3900*b24*
    b318 + 3822*b24*b319 + 234*b24*b320 + 5304*b24*b321 + 2730*b24*b322 + 4836*
    b24*b323 + 3042*b24*b324 + 5148*b24*b325 + 7098*b24*b326 + 3354*b24*b327 + 
    390*b24*b328 + 6396*b24*b329 + 2418*b24*b330 + 78*b24*b331 + 284*b24*b333
     + 340*b24*b334 + 192*b24*b335 + 104*b24*b336 + 240*b24*b337 + 176*b24*b338
     + 120*b24*b339 + 200*b24*b340 + 196*b24*b341 + 12*b24*b342 + 272*b24*b343
     + 140*b24*b344 + 248*b24*b345 + 156*b24*b346 + 264*b24*b347 + 364*b24*b348
     + 172*b24*b349 + 20*b24*b350 + 328*b24*b351 + 124*b24*b352 + 4*b24*b353 + 
    7384*b24*b355 + 8840*b24*b356 + 4992*b24*b357 + 2704*b24*b358 + 6240*b24*
    b359 + 4576*b24*b360 + 3120*b24*b361 + 5200*b24*b362 + 5096*b24*b363 + 312*
    b24*b364 + 7072*b24*b365 + 3640*b24*b366 + 6448*b24*b367 + 4056*b24*b368 + 
    6864*b24*b369 + 9464*b24*b370 + 4472*b24*b371 + 520*b24*b372 + 8528*b24*
    b373 + 3224*b24*b374 + 104*b24*b375 + 3692*b24*b377 + 4420*b24*b378 + 2496*
    b24*b379 + 1352*b24*b380 + 3120*b24*b381 + 2288*b24*b382 + 1560*b24*b383 + 
    2600*b24*b384 + 2548*b24*b385 + 156*b24*b386 + 3536*b24*b387 + 1820*b24*
    b388 + 3224*b24*b389 + 2028*b24*b390 + 3432*b24*b391 + 4732*b24*b392 + 2236
    *b24*b393 + 260*b24*b394 + 4264*b24*b395 + 1612*b24*b396 + 52*b24*b397 + 
    12780*b24*b399 + 15300*b24*b400 + 8640*b24*b401 + 4680*b24*b402 + 10800*b24
    *b403 + 7920*b24*b404 + 5400*b24*b405 + 9000*b24*b406 + 8820*b24*b407 + 540
    *b24*b408 + 12240*b24*b409 + 6300*b24*b410 + 11160*b24*b411 + 7020*b24*b412
     + 11880*b24*b413 + 16380*b24*b414 + 7740*b24*b415 + 900*b24*b416 + 14760*
    b24*b417 + 5580*b24*b418 + 180*b24*b419 + 3692*b24*b421 + 4420*b24*b422 + 
    2496*b24*b423 + 1352*b24*b424 + 3120*b24*b425 + 2288*b24*b426 + 1560*b24*
    b427 + 2600*b24*b428 + 2548*b24*b429 + 156*b24*b430 + 3536*b24*b431 + 1820*
    b24*b432 + 3224*b24*b433 + 2028*b24*b434 + 3432*b24*b435 + 4732*b24*b436 + 
    2236*b24*b437 + 260*b24*b438 + 4264*b24*b439 + 1612*b24*b440 + 52*b24*b441
     + 142*b24*b443 + 170*b24*b444 + 96*b24*b445 + 52*b24*b446 + 120*b24*b447
     + 88*b24*b448 + 60*b24*b449 + 100*b24*b450 + 98*b24*b451 + 6*b24*b452 + 
    136*b24*b453 + 70*b24*b454 + 124*b24*b455 + 78*b24*b456 + 132*b24*b457 + 
    182*b24*b458 + 86*b24*b459 + 10*b24*b460 + 164*b24*b461 + 62*b24*b462 + 2*
    b24*b463 + 9656*b24*b465 + 11560*b24*b466 + 6528*b24*b467 + 3536*b24*b468
     + 8160*b24*b469 + 5984*b24*b470 + 4080*b24*b471 + 6800*b24*b472 + 6664*b24
    *b473 + 408*b24*b474 + 9248*b24*b475 + 4760*b24*b476 + 8432*b24*b477 + 5304
    *b24*b478 + 8976*b24*b479 + 12376*b24*b480 + 5848*b24*b481 + 680*b24*b482
     + 11152*b24*b483 + 4216*b24*b484 + 136*b24*b485 + 13206*b24*b487 + 15810*
    b24*b488 + 8928*b24*b489 + 4836*b24*b490 + 11160*b24*b491 + 8184*b24*b492
     + 5580*b24*b493 + 9300*b24*b494 + 9114*b24*b495 + 558*b24*b496 + 12648*b24
    *b497 + 6510*b24*b498 + 11532*b24*b499 + 7254*b24*b500 + 12276*b24*b501 + 
    16926*b24*b502 + 7998*b24*b503 + 930*b24*b504 + 15252*b24*b505 + 5766*b24*
    b506 + 186*b24*b507 + 994*b24*b509 + 1190*b24*b510 + 672*b24*b511 + 364*b24
    *b512 + 840*b24*b513 + 616*b24*b514 + 420*b24*b515 + 700*b24*b516 + 686*b24
    *b517 + 42*b24*b518 + 952*b24*b519 + 490*b24*b520 + 868*b24*b521 + 546*b24*
    b522 + 924*b24*b523 + 1274*b24*b524 + 602*b24*b525 + 70*b24*b526 + 1148*b24
    *b527 + 434*b24*b528 + 14*b24*b529 + 1896*b24*b531 + 4108*b24*b532 + 1106*
    b24*b533 + 2352*b24*b534 + 5096*b24*b535 + 1372*b24*b536 + 1440*b24*b537 + 
    3120*b24*b538 + 840*b24*b539 + 840*b24*b540 + 1820*b24*b541 + 490*b24*b542
     + 216*b24*b543 + 468*b24*b544 + 126*b24*b545 + 2304*b24*b546 + 4992*b24*
    b547 + 1344*b24*b548 + 1680*b24*b549 + 3640*b24*b550 + 980*b24*b551 + 504*
    b24*b552 + 1092*b24*b553 + 294*b24*b554 + 888*b24*b555 + 1924*b24*b556 + 
    518*b24*b557 + 888*b24*b558 + 1924*b24*b559 + 518*b24*b560 + 1608*b24*b561
     + 3484*b24*b562 + 938*b24*b563 + 2232*b24*b564 + 4836*b24*b565 + 1302*b24*
    b566 + 2232*b24*b567 + 4836*b24*b568 + 1302*b24*b569 + 936*b24*b570 + 2028*
    b24*b571 + 546*b24*b572 + 48*b24*b573 + 104*b24*b574 + 28*b24*b575 + 1248*
    b24*b576 + 2704*b24*b577 + 728*b24*b578 + 624*b24*b579 + 1352*b24*b580 + 
    364*b24*b581 + 2160*b24*b582 + 4680*b24*b583 + 1260*b24*b584 + 624*b24*b585
     + 1352*b24*b586 + 364*b24*b587 + 24*b24*b588 + 52*b24*b589 + 14*b24*b590
     + 1632*b24*b591 + 3536*b24*b592 + 952*b24*b593 + 2232*b24*b594 + 4836*b24*
    b595 + 1302*b24*b596 + 168*b24*b597 + 364*b24*b598 + 98*b24*b599 + 15640*
    b24*b600 + 8832*b24*b601 + 4784*b24*b602 + 11040*b24*b603 + 8096*b24*b604
     + 5520*b24*b605 + 9200*b24*b606 + 9016*b24*b607 + 552*b24*b608 + 12512*b24
    *b609 + 6440*b24*b610 + 11408*b24*b611 + 7176*b24*b612 + 12144*b24*b613 + 
    4784*b24*b614 + 16744*b24*b615 + 7912*b24*b616 + 920*b24*b617 + 15088*b24*
    b618 + 5704*b24*b619 + 184*b24*b620 + 1288*b24*b622 + 13064*b24*b623 + 4888
    *b25*b48 + 17108*b25*b49 + 2068*b25*b50 + 6580*b25*b51 + 15416*b25*b52 + 
    4888*b25*b53 + 12972*b25*b54 + 10528*b25*b55 + 16168*b25*b56 + 8460*b25*b57
     + 17108*b25*b58 + 11092*b25*b59 + 3384*b25*b60 + 14288*b25*b61 + 3384*b25*
    b62 + 10716*b25*b63 + 6768*b25*b64 + 11468*b25*b65 + 6768*b25*b66 + 3948*
    b25*b67 + 13348*b25*b68 + 988*b25*b70 + 3458*b25*b71 + 418*b25*b72 + 1330*
    b25*b73 + 3116*b25*b74 + 988*b25*b75 + 2622*b25*b76 + 2128*b25*b77 + 3268*
    b25*b78 + 1710*b25*b79 + 3458*b25*b80 + 2242*b25*b81 + 684*b25*b82 + 2888*
    b25*b83 + 684*b25*b84 + 2166*b25*b85 + 1368*b25*b86 + 2318*b25*b87 + 1368*
    b25*b88 + 798*b25*b89 + 2698*b25*b90 + 2808*b25*b92 + 9828*b25*b93 + 1188*
    b25*b94 + 3780*b25*b95 + 8856*b25*b96 + 2808*b25*b97 + 7452*b25*b98 + 6048*
    b25*b99 + 9288*b25*b100 + 4860*b25*b101 + 9828*b25*b102 + 6372*b25*b103 + 
    1944*b25*b104 + 8208*b25*b105 + 1944*b25*b106 + 6156*b25*b107 + 3888*b25*
    b108 + 6588*b25*b109 + 3888*b25*b110 + 2268*b25*b111 + 7668*b25*b112 + 1924
    *b25*b114 + 6734*b25*b115 + 814*b25*b116 + 2590*b25*b117 + 6068*b25*b118 + 
    1924*b25*b119 + 5106*b25*b120 + 4144*b25*b121 + 6364*b25*b122 + 3330*b25*
    b123 + 6734*b25*b124 + 4366*b25*b125 + 1332*b25*b126 + 5624*b25*b127 + 1332
    *b25*b128 + 4218*b25*b129 + 2664*b25*b130 + 4514*b25*b131 + 2664*b25*b132
     + 1554*b25*b133 + 5254*b25*b134 + 1040*b25*b158 + 3640*b25*b159 + 440*b25*
    b160 + 1400*b25*b161 + 3280*b25*b162 + 1040*b25*b163 + 2760*b25*b164 + 2240
    *b25*b165 + 3440*b25*b166 + 1800*b25*b167 + 3640*b25*b168 + 2360*b25*b169
     + 720*b25*b170 + 3040*b25*b171 + 720*b25*b172 + 2280*b25*b173 + 1440*b25*
    b174 + 2440*b25*b175 + 1440*b25*b176 + 840*b25*b177 + 2840*b25*b178 + 624*
    b25*b180 + 2184*b25*b181 + 264*b25*b182 + 840*b25*b183 + 1968*b25*b184 + 
    624*b25*b185 + 1656*b25*b186 + 1344*b25*b187 + 2064*b25*b188 + 1080*b25*
    b189 + 2184*b25*b190 + 1416*b25*b191 + 432*b25*b192 + 1824*b25*b193 + 432*
    b25*b194 + 1368*b25*b195 + 864*b25*b196 + 1464*b25*b197 + 864*b25*b198 + 
    504*b25*b199 + 1704*b25*b200 + 572*b25*b202 + 2002*b25*b203 + 242*b25*b204
     + 770*b25*b205 + 1804*b25*b206 + 572*b25*b207 + 1518*b25*b208 + 1232*b25*
    b209 + 1892*b25*b210 + 990*b25*b211 + 2002*b25*b212 + 1298*b25*b213 + 396*
    b25*b214 + 1672*b25*b215 + 396*b25*b216 + 1254*b25*b217 + 792*b25*b218 + 
    1342*b25*b219 + 792*b25*b220 + 462*b25*b221 + 1562*b25*b222 + 3432*b25*b224
     + 12012*b25*b225 + 1452*b25*b226 + 4620*b25*b227 + 10824*b25*b228 + 3432*
    b25*b229 + 9108*b25*b230 + 7392*b25*b231 + 11352*b25*b232 + 5940*b25*b233
     + 12012*b25*b234 + 7788*b25*b235 + 2376*b25*b236 + 10032*b25*b237 + 2376*
    b25*b238 + 7524*b25*b239 + 4752*b25*b240 + 8052*b25*b241 + 4752*b25*b242 + 
    2772*b25*b243 + 9372*b25*b244 + 4368*b25*b246 + 15288*b25*b247 + 1848*b25*
    b248 + 5880*b25*b249 + 13776*b25*b250 + 4368*b25*b251 + 11592*b25*b252 + 
    9408*b25*b253 + 14448*b25*b254 + 7560*b25*b255 + 15288*b25*b256 + 9912*b25*
    b257 + 3024*b25*b258 + 12768*b25*b259 + 3024*b25*b260 + 9576*b25*b261 + 
    6048*b25*b262 + 10248*b25*b263 + 6048*b25*b264 + 3528*b25*b265 + 11928*b25*
    b266 + 4160*b25*b268 + 14560*b25*b269 + 1760*b25*b270 + 5600*b25*b271 + 
    13120*b25*b272 + 4160*b25*b273 + 11040*b25*b274 + 8960*b25*b275 + 13760*b25
    *b276 + 7200*b25*b277 + 14560*b25*b278 + 9440*b25*b279 + 2880*b25*b280 + 
    12160*b25*b281 + 2880*b25*b282 + 9120*b25*b283 + 5760*b25*b284 + 9760*b25*
    b285 + 5760*b25*b286 + 3360*b25*b287 + 11360*b25*b288 + 52*b25*b290 + 182*
    b25*b291 + 22*b25*b292 + 70*b25*b293 + 164*b25*b294 + 52*b25*b295 + 138*b25
    *b296 + 112*b25*b297 + 172*b25*b298 + 90*b25*b299 + 182*b25*b300 + 118*b25*
    b301 + 36*b25*b302 + 152*b25*b303 + 36*b25*b304 + 114*b25*b305 + 72*b25*
    b306 + 122*b25*b307 + 72*b25*b308 + 42*b25*b309 + 142*b25*b310 + 2860*b25*
    b312 + 10010*b25*b313 + 1210*b25*b314 + 3850*b25*b315 + 9020*b25*b316 + 
    2860*b25*b317 + 7590*b25*b318 + 6160*b25*b319 + 9460*b25*b320 + 4950*b25*
    b321 + 10010*b25*b322 + 6490*b25*b323 + 1980*b25*b324 + 8360*b25*b325 + 
    1980*b25*b326 + 6270*b25*b327 + 3960*b25*b328 + 6710*b25*b329 + 3960*b25*
    b330 + 2310*b25*b331 + 7810*b25*b332 + 468*b25*b334 + 1638*b25*b335 + 198*
    b25*b336 + 630*b25*b337 + 1476*b25*b338 + 468*b25*b339 + 1242*b25*b340 + 
    1008*b25*b341 + 1548*b25*b342 + 810*b25*b343 + 1638*b25*b344 + 1062*b25*
    b345 + 324*b25*b346 + 1368*b25*b347 + 324*b25*b348 + 1026*b25*b349 + 648*
    b25*b350 + 1098*b25*b351 + 648*b25*b352 + 378*b25*b353 + 1278*b25*b354 + 
    1092*b25*b356 + 3822*b25*b357 + 462*b25*b358 + 1470*b25*b359 + 3444*b25*
    b360 + 1092*b25*b361 + 2898*b25*b362 + 2352*b25*b363 + 3612*b25*b364 + 1890
    *b25*b365 + 3822*b25*b366 + 2478*b25*b367 + 756*b25*b368 + 3192*b25*b369 + 
    756*b25*b370 + 2394*b25*b371 + 1512*b25*b372 + 2562*b25*b373 + 1512*b25*
    b374 + 882*b25*b375 + 2982*b25*b376 + 624*b25*b378 + 2184*b25*b379 + 264*
    b25*b380 + 840*b25*b381 + 1968*b25*b382 + 624*b25*b383 + 1656*b25*b384 + 
    1344*b25*b385 + 2064*b25*b386 + 1080*b25*b387 + 2184*b25*b388 + 1416*b25*
    b389 + 432*b25*b390 + 1824*b25*b391 + 432*b25*b392 + 1368*b25*b393 + 864*
    b25*b394 + 1464*b25*b395 + 864*b25*b396 + 504*b25*b397 + 1704*b25*b398 + 
    3380*b25*b400 + 11830*b25*b401 + 1430*b25*b402 + 4550*b25*b403 + 10660*b25*
    b404 + 3380*b25*b405 + 8970*b25*b406 + 7280*b25*b407 + 11180*b25*b408 + 
    5850*b25*b409 + 11830*b25*b410 + 7670*b25*b411 + 2340*b25*b412 + 9880*b25*
    b413 + 2340*b25*b414 + 7410*b25*b415 + 4680*b25*b416 + 7930*b25*b417 + 4680
    *b25*b418 + 2730*b25*b419 + 9230*b25*b420 + 364*b25*b422 + 1274*b25*b423 + 
    154*b25*b424 + 490*b25*b425 + 1148*b25*b426 + 364*b25*b427 + 966*b25*b428
     + 784*b25*b429 + 1204*b25*b430 + 630*b25*b431 + 1274*b25*b432 + 826*b25*
    b433 + 252*b25*b434 + 1064*b25*b435 + 252*b25*b436 + 798*b25*b437 + 504*b25
    *b438 + 854*b25*b439 + 504*b25*b440 + 294*b25*b441 + 994*b25*b442 + 884*b25
    *b444 + 3094*b25*b445 + 374*b25*b446 + 1190*b25*b447 + 2788*b25*b448 + 884*
    b25*b449 + 2346*b25*b450 + 1904*b25*b451 + 2924*b25*b452 + 1530*b25*b453 + 
    3094*b25*b454 + 2006*b25*b455 + 612*b25*b456 + 2584*b25*b457 + 612*b25*b458
     + 1938*b25*b459 + 1224*b25*b460 + 2074*b25*b461 + 1224*b25*b462 + 714*b25*
    b463 + 2414*b25*b464 + 2652*b25*b466 + 9282*b25*b467 + 1122*b25*b468 + 3570
    *b25*b469 + 8364*b25*b470 + 2652*b25*b471 + 7038*b25*b472 + 5712*b25*b473
     + 8772*b25*b474 + 4590*b25*b475 + 9282*b25*b476 + 6018*b25*b477 + 1836*b25
    *b478 + 7752*b25*b479 + 1836*b25*b480 + 5814*b25*b481 + 3672*b25*b482 + 
    6222*b25*b483 + 3672*b25*b484 + 2142*b25*b485 + 7242*b25*b486 + 4368*b25*
    b488 + 15288*b25*b489 + 1848*b25*b490 + 5880*b25*b491 + 13776*b25*b492 + 
    4368*b25*b493 + 11592*b25*b494 + 9408*b25*b495 + 14448*b25*b496 + 7560*b25*
    b497 + 15288*b25*b498 + 9912*b25*b499 + 3024*b25*b500 + 12768*b25*b501 + 
    3024*b25*b502 + 9576*b25*b503 + 6048*b25*b504 + 10248*b25*b505 + 6048*b25*
    b506 + 3528*b25*b507 + 11928*b25*b508 + 4524*b25*b510 + 15834*b25*b511 + 
    1914*b25*b512 + 6090*b25*b513 + 14268*b25*b514 + 4524*b25*b515 + 12006*b25*
    b516 + 9744*b25*b517 + 14964*b25*b518 + 7830*b25*b519 + 15834*b25*b520 + 
    10266*b25*b521 + 3132*b25*b522 + 13224*b25*b523 + 3132*b25*b524 + 9918*b25*
    b525 + 6264*b25*b526 + 10614*b25*b527 + 6264*b25*b528 + 3654*b25*b529 + 
    12354*b25*b530 + 3948*b25*b534 + 7332*b25*b535 + 2068*b25*b536 + 798*b25*
    b537 + 1482*b25*b538 + 418*b25*b539 + 2268*b25*b540 + 4212*b25*b541 + 1188*
    b25*b542 + 1554*b25*b543 + 2886*b25*b544 + 814*b25*b545 + 840*b25*b549 + 
    1560*b25*b550 + 440*b25*b551 + 504*b25*b552 + 936*b25*b553 + 264*b25*b554
     + 462*b25*b555 + 858*b25*b556 + 242*b25*b557 + 2772*b25*b558 + 5148*b25*
    b559 + 1452*b25*b560 + 3528*b25*b561 + 6552*b25*b562 + 1848*b25*b563 + 3360
    *b25*b564 + 6240*b25*b565 + 1760*b25*b566 + 42*b25*b567 + 78*b25*b568 + 22*
    b25*b569 + 2310*b25*b570 + 4290*b25*b571 + 1210*b25*b572 + 378*b25*b573 + 
    702*b25*b574 + 198*b25*b575 + 882*b25*b576 + 1638*b25*b577 + 462*b25*b578
     + 504*b25*b579 + 936*b25*b580 + 264*b25*b581 + 2730*b25*b582 + 5070*b25*
    b583 + 1430*b25*b584 + 294*b25*b585 + 546*b25*b586 + 154*b25*b587 + 714*b25
    *b588 + 1326*b25*b589 + 374*b25*b590 + 2142*b25*b591 + 3978*b25*b592 + 1122
    *b25*b593 + 3528*b25*b594 + 6552*b25*b595 + 1848*b25*b596 + 3654*b25*b597
     + 6786*b25*b598 + 1914*b25*b599 + 3588*b25*b600 + 12558*b25*b601 + 1518*
    b25*b602 + 4830*b25*b603 + 11316*b25*b604 + 3588*b25*b605 + 9522*b25*b606
     + 7728*b25*b607 + 11868*b25*b608 + 6210*b25*b609 + 12558*b25*b610 + 8142*
    b25*b611 + 2484*b25*b612 + 10488*b25*b613 + 5382*b25*b614 + 2484*b25*b615
     + 7866*b25*b616 + 4968*b25*b617 + 8418*b25*b618 + 4968*b25*b619 + 2898*b25
    *b620 + 9798*b25*b621 + 1518*b25*b622 + 3318*b25*b624 + 6162*b25*b625 + 
    1738*b25*b626 + 4888*b26*b47 + 5452*b26*b49 + 15416*b26*b50 + 15416*b26*b51
     + 1128*b26*b52 + 13348*b26*b53 + 1504*b26*b54 + 14476*b26*b55 + 13912*b26*
    b56 + 5640*b26*b57 + 16732*b26*b58 + 14288*b26*b59 + 14288*b26*b60 + 7520*
    b26*b61 + 10528*b26*b62 + 188*b26*b63 + 9400*b26*b64 + 752*b26*b65 + 6768*
    b26*b66 + 5076*b26*b67 + 15980*b26*b68 + 988*b26*b69 + 1102*b26*b71 + 3116*
    b26*b72 + 3116*b26*b73 + 228*b26*b74 + 2698*b26*b75 + 304*b26*b76 + 2926*
    b26*b77 + 2812*b26*b78 + 1140*b26*b79 + 3382*b26*b80 + 2888*b26*b81 + 2888*
    b26*b82 + 1520*b26*b83 + 2128*b26*b84 + 38*b26*b85 + 1900*b26*b86 + 152*b26
    *b87 + 1368*b26*b88 + 1026*b26*b89 + 3230*b26*b90 + 2808*b26*b91 + 3132*b26
    *b93 + 8856*b26*b94 + 8856*b26*b95 + 648*b26*b96 + 7668*b26*b97 + 864*b26*
    b98 + 8316*b26*b99 + 7992*b26*b100 + 3240*b26*b101 + 9612*b26*b102 + 8208*
    b26*b103 + 8208*b26*b104 + 4320*b26*b105 + 6048*b26*b106 + 108*b26*b107 + 
    5400*b26*b108 + 432*b26*b109 + 3888*b26*b110 + 2916*b26*b111 + 9180*b26*
    b112 + 1924*b26*b113 + 2146*b26*b115 + 6068*b26*b116 + 6068*b26*b117 + 444*
    b26*b118 + 5254*b26*b119 + 592*b26*b120 + 5698*b26*b121 + 5476*b26*b122 + 
    2220*b26*b123 + 6586*b26*b124 + 5624*b26*b125 + 5624*b26*b126 + 2960*b26*
    b127 + 4144*b26*b128 + 74*b26*b129 + 3700*b26*b130 + 296*b26*b131 + 2664*
    b26*b132 + 1998*b26*b133 + 6290*b26*b134 + 1040*b26*b157 + 1160*b26*b159 + 
    3280*b26*b160 + 3280*b26*b161 + 240*b26*b162 + 2840*b26*b163 + 320*b26*b164
     + 3080*b26*b165 + 2960*b26*b166 + 1200*b26*b167 + 3560*b26*b168 + 3040*b26
    *b169 + 3040*b26*b170 + 1600*b26*b171 + 2240*b26*b172 + 40*b26*b173 + 2000*
    b26*b174 + 160*b26*b175 + 1440*b26*b176 + 1080*b26*b177 + 3400*b26*b178 + 
    624*b26*b179 + 696*b26*b181 + 1968*b26*b182 + 1968*b26*b183 + 144*b26*b184
     + 1704*b26*b185 + 192*b26*b186 + 1848*b26*b187 + 1776*b26*b188 + 720*b26*
    b189 + 2136*b26*b190 + 1824*b26*b191 + 1824*b26*b192 + 960*b26*b193 + 1344*
    b26*b194 + 24*b26*b195 + 1200*b26*b196 + 96*b26*b197 + 864*b26*b198 + 648*
    b26*b199 + 2040*b26*b200 + 572*b26*b201 + 638*b26*b203 + 1804*b26*b204 + 
    1804*b26*b205 + 132*b26*b206 + 1562*b26*b207 + 176*b26*b208 + 1694*b26*b209
     + 1628*b26*b210 + 660*b26*b211 + 1958*b26*b212 + 1672*b26*b213 + 1672*b26*
    b214 + 880*b26*b215 + 1232*b26*b216 + 22*b26*b217 + 1100*b26*b218 + 88*b26*
    b219 + 792*b26*b220 + 594*b26*b221 + 1870*b26*b222 + 3432*b26*b223 + 3828*
    b26*b225 + 10824*b26*b226 + 10824*b26*b227 + 792*b26*b228 + 9372*b26*b229
     + 1056*b26*b230 + 10164*b26*b231 + 9768*b26*b232 + 3960*b26*b233 + 11748*
    b26*b234 + 10032*b26*b235 + 10032*b26*b236 + 5280*b26*b237 + 7392*b26*b238
     + 132*b26*b239 + 6600*b26*b240 + 528*b26*b241 + 4752*b26*b242 + 3564*b26*
    b243 + 11220*b26*b244 + 4368*b26*b245 + 4872*b26*b247 + 13776*b26*b248 + 
    13776*b26*b249 + 1008*b26*b250 + 11928*b26*b251 + 1344*b26*b252 + 12936*b26
    *b253 + 12432*b26*b254 + 5040*b26*b255 + 14952*b26*b256 + 12768*b26*b257 + 
    12768*b26*b258 + 6720*b26*b259 + 9408*b26*b260 + 168*b26*b261 + 8400*b26*
    b262 + 672*b26*b263 + 6048*b26*b264 + 4536*b26*b265 + 14280*b26*b266 + 4160
    *b26*b267 + 4640*b26*b269 + 13120*b26*b270 + 13120*b26*b271 + 960*b26*b272
     + 11360*b26*b273 + 1280*b26*b274 + 12320*b26*b275 + 11840*b26*b276 + 4800*
    b26*b277 + 14240*b26*b278 + 12160*b26*b279 + 12160*b26*b280 + 6400*b26*b281
     + 8960*b26*b282 + 160*b26*b283 + 8000*b26*b284 + 640*b26*b285 + 5760*b26*
    b286 + 4320*b26*b287 + 13600*b26*b288 + 52*b26*b289 + 58*b26*b291 + 164*b26
    *b292 + 164*b26*b293 + 12*b26*b294 + 142*b26*b295 + 16*b26*b296 + 154*b26*
    b297 + 148*b26*b298 + 60*b26*b299 + 178*b26*b300 + 152*b26*b301 + 152*b26*
    b302 + 80*b26*b303 + 112*b26*b304 + 2*b26*b305 + 100*b26*b306 + 8*b26*b307
     + 72*b26*b308 + 54*b26*b309 + 170*b26*b310 + 2860*b26*b311 + 3190*b26*b313
     + 9020*b26*b314 + 9020*b26*b315 + 660*b26*b316 + 7810*b26*b317 + 880*b26*
    b318 + 8470*b26*b319 + 8140*b26*b320 + 3300*b26*b321 + 9790*b26*b322 + 8360
    *b26*b323 + 8360*b26*b324 + 4400*b26*b325 + 6160*b26*b326 + 110*b26*b327 + 
    5500*b26*b328 + 440*b26*b329 + 3960*b26*b330 + 2970*b26*b331 + 9350*b26*
    b332 + 468*b26*b333 + 522*b26*b335 + 1476*b26*b336 + 1476*b26*b337 + 108*
    b26*b338 + 1278*b26*b339 + 144*b26*b340 + 1386*b26*b341 + 1332*b26*b342 + 
    540*b26*b343 + 1602*b26*b344 + 1368*b26*b345 + 1368*b26*b346 + 720*b26*b347
     + 1008*b26*b348 + 18*b26*b349 + 900*b26*b350 + 72*b26*b351 + 648*b26*b352
     + 486*b26*b353 + 1530*b26*b354 + 1092*b26*b355 + 1218*b26*b357 + 3444*b26*
    b358 + 3444*b26*b359 + 252*b26*b360 + 2982*b26*b361 + 336*b26*b362 + 3234*
    b26*b363 + 3108*b26*b364 + 1260*b26*b365 + 3738*b26*b366 + 3192*b26*b367 + 
    3192*b26*b368 + 1680*b26*b369 + 2352*b26*b370 + 42*b26*b371 + 2100*b26*b372
     + 168*b26*b373 + 1512*b26*b374 + 1134*b26*b375 + 3570*b26*b376 + 624*b26*
    b377 + 696*b26*b379 + 1968*b26*b380 + 1968*b26*b381 + 144*b26*b382 + 1704*
    b26*b383 + 192*b26*b384 + 1848*b26*b385 + 1776*b26*b386 + 720*b26*b387 + 
    2136*b26*b388 + 1824*b26*b389 + 1824*b26*b390 + 960*b26*b391 + 1344*b26*
    b392 + 24*b26*b393 + 1200*b26*b394 + 96*b26*b395 + 864*b26*b396 + 648*b26*
    b397 + 2040*b26*b398 + 3380*b26*b399 + 3770*b26*b401 + 10660*b26*b402 + 
    10660*b26*b403 + 780*b26*b404 + 9230*b26*b405 + 1040*b26*b406 + 10010*b26*
    b407 + 9620*b26*b408 + 3900*b26*b409 + 11570*b26*b410 + 9880*b26*b411 + 
    9880*b26*b412 + 5200*b26*b413 + 7280*b26*b414 + 130*b26*b415 + 6500*b26*
    b416 + 520*b26*b417 + 4680*b26*b418 + 3510*b26*b419 + 11050*b26*b420 + 364*
    b26*b421 + 406*b26*b423 + 1148*b26*b424 + 1148*b26*b425 + 84*b26*b426 + 994
    *b26*b427 + 112*b26*b428 + 1078*b26*b429 + 1036*b26*b430 + 420*b26*b431 + 
    1246*b26*b432 + 1064*b26*b433 + 1064*b26*b434 + 560*b26*b435 + 784*b26*b436
     + 14*b26*b437 + 700*b26*b438 + 56*b26*b439 + 504*b26*b440 + 378*b26*b441
     + 1190*b26*b442 + 884*b26*b443 + 986*b26*b445 + 2788*b26*b446 + 2788*b26*
    b447 + 204*b26*b448 + 2414*b26*b449 + 272*b26*b450 + 2618*b26*b451 + 2516*
    b26*b452 + 1020*b26*b453 + 3026*b26*b454 + 2584*b26*b455 + 2584*b26*b456 + 
    1360*b26*b457 + 1904*b26*b458 + 34*b26*b459 + 1700*b26*b460 + 136*b26*b461
     + 1224*b26*b462 + 918*b26*b463 + 2890*b26*b464 + 2652*b26*b465 + 2958*b26*
    b467 + 8364*b26*b468 + 8364*b26*b469 + 612*b26*b470 + 7242*b26*b471 + 816*
    b26*b472 + 7854*b26*b473 + 7548*b26*b474 + 3060*b26*b475 + 9078*b26*b476 + 
    7752*b26*b477 + 7752*b26*b478 + 4080*b26*b479 + 5712*b26*b480 + 102*b26*
    b481 + 5100*b26*b482 + 408*b26*b483 + 3672*b26*b484 + 2754*b26*b485 + 8670*
    b26*b486 + 4368*b26*b487 + 4872*b26*b489 + 13776*b26*b490 + 13776*b26*b491
     + 1008*b26*b492 + 11928*b26*b493 + 1344*b26*b494 + 12936*b26*b495 + 12432*
    b26*b496 + 5040*b26*b497 + 14952*b26*b498 + 12768*b26*b499 + 12768*b26*b500
     + 6720*b26*b501 + 9408*b26*b502 + 168*b26*b503 + 8400*b26*b504 + 672*b26*
    b505 + 6048*b26*b506 + 4536*b26*b507 + 14280*b26*b508 + 4524*b26*b509 + 
    5046*b26*b511 + 14268*b26*b512 + 14268*b26*b513 + 1044*b26*b514 + 12354*b26
    *b515 + 1392*b26*b516 + 13398*b26*b517 + 12876*b26*b518 + 5220*b26*b519 + 
    15486*b26*b520 + 13224*b26*b521 + 13224*b26*b522 + 6960*b26*b523 + 9744*b26
    *b524 + 174*b26*b525 + 8700*b26*b526 + 696*b26*b527 + 6264*b26*b528 + 4698*
    b26*b529 + 14790*b26*b530 + 17860*b26*b534 + 17484*b26*b535 + 376*b26*b536
     + 3610*b26*b537 + 3534*b26*b538 + 76*b26*b539 + 10260*b26*b540 + 10044*b26
    *b541 + 216*b26*b542 + 7030*b26*b543 + 6882*b26*b544 + 148*b26*b545 + 3800*
    b26*b549 + 3720*b26*b550 + 80*b26*b551 + 2280*b26*b552 + 2232*b26*b553 + 48
    *b26*b554 + 2090*b26*b555 + 2046*b26*b556 + 44*b26*b557 + 12540*b26*b558 + 
    12276*b26*b559 + 264*b26*b560 + 15960*b26*b561 + 15624*b26*b562 + 336*b26*
    b563 + 15200*b26*b564 + 14880*b26*b565 + 320*b26*b566 + 190*b26*b567 + 186*
    b26*b568 + 4*b26*b569 + 10450*b26*b570 + 10230*b26*b571 + 220*b26*b572 + 
    1710*b26*b573 + 1674*b26*b574 + 36*b26*b575 + 3990*b26*b576 + 3906*b26*b577
     + 84*b26*b578 + 2280*b26*b579 + 2232*b26*b580 + 48*b26*b581 + 12350*b26*
    b582 + 12090*b26*b583 + 260*b26*b584 + 1330*b26*b585 + 1302*b26*b586 + 28*
    b26*b587 + 3230*b26*b588 + 3162*b26*b589 + 68*b26*b590 + 9690*b26*b591 + 
    9486*b26*b592 + 204*b26*b593 + 15960*b26*b594 + 15624*b26*b595 + 336*b26*
    b596 + 16530*b26*b597 + 16182*b26*b598 + 348*b26*b599 + 4002*b26*b601 + 
    11316*b26*b602 + 11316*b26*b603 + 828*b26*b604 + 9798*b26*b605 + 1104*b26*
    b606 + 10626*b26*b607 + 10212*b26*b608 + 4140*b26*b609 + 12282*b26*b610 + 
    10488*b26*b611 + 10488*b26*b612 + 5520*b26*b613 + 12834*b26*b614 + 7728*b26
    *b615 + 138*b26*b616 + 6900*b26*b617 + 552*b26*b618 + 4968*b26*b619 + 3726*
    b26*b620 + 11730*b26*b621 + 276*b26*b622 + 3588*b26*b623 + 15010*b26*b624
     + 14694*b26*b625 + 316*b26*b626 + 17108*b27*b47 + 5452*b27*b48 + 188*b27*
    b50 + 2820*b27*b51 + 2068*b27*b52 + 6580*b27*b53 + 2068*b27*b54 + 3760*b27*
    b55 + 3948*b27*b56 + 11468*b27*b57 + 15040*b27*b58 + 10904*b27*b59 + 3948*
    b27*b60 + 14288*b27*b61 + 8272*b27*b62 + 15980*b27*b63 + 17672*b27*b64 + 
    16920*b27*b65 + 9588*b27*b66 + 564*b27*b67 + 9024*b27*b68 + 3458*b27*b69 + 
    1102*b27*b70 + 38*b27*b72 + 570*b27*b73 + 418*b27*b74 + 1330*b27*b75 + 418*
    b27*b76 + 760*b27*b77 + 798*b27*b78 + 2318*b27*b79 + 3040*b27*b80 + 2204*
    b27*b81 + 798*b27*b82 + 2888*b27*b83 + 1672*b27*b84 + 3230*b27*b85 + 3572*
    b27*b86 + 3420*b27*b87 + 1938*b27*b88 + 114*b27*b89 + 1824*b27*b90 + 9828*
    b27*b91 + 3132*b27*b92 + 108*b27*b94 + 1620*b27*b95 + 1188*b27*b96 + 3780*
    b27*b97 + 1188*b27*b98 + 2160*b27*b99 + 2268*b27*b100 + 6588*b27*b101 + 
    8640*b27*b102 + 6264*b27*b103 + 2268*b27*b104 + 8208*b27*b105 + 4752*b27*
    b106 + 9180*b27*b107 + 10152*b27*b108 + 9720*b27*b109 + 5508*b27*b110 + 324
    *b27*b111 + 5184*b27*b112 + 6734*b27*b113 + 2146*b27*b114 + 74*b27*b116 + 
    1110*b27*b117 + 814*b27*b118 + 2590*b27*b119 + 814*b27*b120 + 1480*b27*b121
     + 1554*b27*b122 + 4514*b27*b123 + 5920*b27*b124 + 4292*b27*b125 + 1554*b27
    *b126 + 5624*b27*b127 + 3256*b27*b128 + 6290*b27*b129 + 6956*b27*b130 + 
    6660*b27*b131 + 3774*b27*b132 + 222*b27*b133 + 3552*b27*b134 + 3640*b27*
    b157 + 1160*b27*b158 + 40*b27*b160 + 600*b27*b161 + 440*b27*b162 + 1400*b27
    *b163 + 440*b27*b164 + 800*b27*b165 + 840*b27*b166 + 2440*b27*b167 + 3200*
    b27*b168 + 2320*b27*b169 + 840*b27*b170 + 3040*b27*b171 + 1760*b27*b172 + 
    3400*b27*b173 + 3760*b27*b174 + 3600*b27*b175 + 2040*b27*b176 + 120*b27*
    b177 + 1920*b27*b178 + 2184*b27*b179 + 696*b27*b180 + 24*b27*b182 + 360*b27
    *b183 + 264*b27*b184 + 840*b27*b185 + 264*b27*b186 + 480*b27*b187 + 504*b27
    *b188 + 1464*b27*b189 + 1920*b27*b190 + 1392*b27*b191 + 504*b27*b192 + 1824
    *b27*b193 + 1056*b27*b194 + 2040*b27*b195 + 2256*b27*b196 + 2160*b27*b197
     + 1224*b27*b198 + 72*b27*b199 + 1152*b27*b200 + 2002*b27*b201 + 638*b27*
    b202 + 22*b27*b204 + 330*b27*b205 + 242*b27*b206 + 770*b27*b207 + 242*b27*
    b208 + 440*b27*b209 + 462*b27*b210 + 1342*b27*b211 + 1760*b27*b212 + 1276*
    b27*b213 + 462*b27*b214 + 1672*b27*b215 + 968*b27*b216 + 1870*b27*b217 + 
    2068*b27*b218 + 1980*b27*b219 + 1122*b27*b220 + 66*b27*b221 + 1056*b27*b222
     + 12012*b27*b223 + 3828*b27*b224 + 132*b27*b226 + 1980*b27*b227 + 1452*b27
    *b228 + 4620*b27*b229 + 1452*b27*b230 + 2640*b27*b231 + 2772*b27*b232 + 
    8052*b27*b233 + 10560*b27*b234 + 7656*b27*b235 + 2772*b27*b236 + 10032*b27*
    b237 + 5808*b27*b238 + 11220*b27*b239 + 12408*b27*b240 + 11880*b27*b241 + 
    6732*b27*b242 + 396*b27*b243 + 6336*b27*b244 + 15288*b27*b245 + 4872*b27*
    b246 + 168*b27*b248 + 2520*b27*b249 + 1848*b27*b250 + 5880*b27*b251 + 1848*
    b27*b252 + 3360*b27*b253 + 3528*b27*b254 + 10248*b27*b255 + 13440*b27*b256
     + 9744*b27*b257 + 3528*b27*b258 + 12768*b27*b259 + 7392*b27*b260 + 14280*
    b27*b261 + 15792*b27*b262 + 15120*b27*b263 + 8568*b27*b264 + 504*b27*b265
     + 8064*b27*b266 + 14560*b27*b267 + 4640*b27*b268 + 160*b27*b270 + 2400*b27
    *b271 + 1760*b27*b272 + 5600*b27*b273 + 1760*b27*b274 + 3200*b27*b275 + 
    3360*b27*b276 + 9760*b27*b277 + 12800*b27*b278 + 9280*b27*b279 + 3360*b27*
    b280 + 12160*b27*b281 + 7040*b27*b282 + 13600*b27*b283 + 15040*b27*b284 + 
    14400*b27*b285 + 8160*b27*b286 + 480*b27*b287 + 7680*b27*b288 + 182*b27*
    b289 + 58*b27*b290 + 2*b27*b292 + 30*b27*b293 + 22*b27*b294 + 70*b27*b295
     + 22*b27*b296 + 40*b27*b297 + 42*b27*b298 + 122*b27*b299 + 160*b27*b300 + 
    116*b27*b301 + 42*b27*b302 + 152*b27*b303 + 88*b27*b304 + 170*b27*b305 + 
    188*b27*b306 + 180*b27*b307 + 102*b27*b308 + 6*b27*b309 + 96*b27*b310 + 
    10010*b27*b311 + 3190*b27*b312 + 110*b27*b314 + 1650*b27*b315 + 1210*b27*
    b316 + 3850*b27*b317 + 1210*b27*b318 + 2200*b27*b319 + 2310*b27*b320 + 6710
    *b27*b321 + 8800*b27*b322 + 6380*b27*b323 + 2310*b27*b324 + 8360*b27*b325
     + 4840*b27*b326 + 9350*b27*b327 + 10340*b27*b328 + 9900*b27*b329 + 5610*
    b27*b330 + 330*b27*b331 + 5280*b27*b332 + 1638*b27*b333 + 522*b27*b334 + 18
    *b27*b336 + 270*b27*b337 + 198*b27*b338 + 630*b27*b339 + 198*b27*b340 + 360
    *b27*b341 + 378*b27*b342 + 1098*b27*b343 + 1440*b27*b344 + 1044*b27*b345 + 
    378*b27*b346 + 1368*b27*b347 + 792*b27*b348 + 1530*b27*b349 + 1692*b27*b350
     + 1620*b27*b351 + 918*b27*b352 + 54*b27*b353 + 864*b27*b354 + 3822*b27*
    b355 + 1218*b27*b356 + 42*b27*b358 + 630*b27*b359 + 462*b27*b360 + 1470*b27
    *b361 + 462*b27*b362 + 840*b27*b363 + 882*b27*b364 + 2562*b27*b365 + 3360*
    b27*b366 + 2436*b27*b367 + 882*b27*b368 + 3192*b27*b369 + 1848*b27*b370 + 
    3570*b27*b371 + 3948*b27*b372 + 3780*b27*b373 + 2142*b27*b374 + 126*b27*
    b375 + 2016*b27*b376 + 2184*b27*b377 + 696*b27*b378 + 24*b27*b380 + 360*b27
    *b381 + 264*b27*b382 + 840*b27*b383 + 264*b27*b384 + 480*b27*b385 + 504*b27
    *b386 + 1464*b27*b387 + 1920*b27*b388 + 1392*b27*b389 + 504*b27*b390 + 1824
    *b27*b391 + 1056*b27*b392 + 2040*b27*b393 + 2256*b27*b394 + 2160*b27*b395
     + 1224*b27*b396 + 72*b27*b397 + 1152*b27*b398 + 11830*b27*b399 + 3770*b27*
    b400 + 130*b27*b402 + 1950*b27*b403 + 1430*b27*b404 + 4550*b27*b405 + 1430*
    b27*b406 + 2600*b27*b407 + 2730*b27*b408 + 7930*b27*b409 + 10400*b27*b410
     + 7540*b27*b411 + 2730*b27*b412 + 9880*b27*b413 + 5720*b27*b414 + 11050*
    b27*b415 + 12220*b27*b416 + 11700*b27*b417 + 6630*b27*b418 + 390*b27*b419
     + 6240*b27*b420 + 1274*b27*b421 + 406*b27*b422 + 14*b27*b424 + 210*b27*
    b425 + 154*b27*b426 + 490*b27*b427 + 154*b27*b428 + 280*b27*b429 + 294*b27*
    b430 + 854*b27*b431 + 1120*b27*b432 + 812*b27*b433 + 294*b27*b434 + 1064*
    b27*b435 + 616*b27*b436 + 1190*b27*b437 + 1316*b27*b438 + 1260*b27*b439 + 
    714*b27*b440 + 42*b27*b441 + 672*b27*b442 + 3094*b27*b443 + 986*b27*b444 + 
    34*b27*b446 + 510*b27*b447 + 374*b27*b448 + 1190*b27*b449 + 374*b27*b450 + 
    680*b27*b451 + 714*b27*b452 + 2074*b27*b453 + 2720*b27*b454 + 1972*b27*b455
     + 714*b27*b456 + 2584*b27*b457 + 1496*b27*b458 + 2890*b27*b459 + 3196*b27*
    b460 + 3060*b27*b461 + 1734*b27*b462 + 102*b27*b463 + 1632*b27*b464 + 9282*
    b27*b465 + 2958*b27*b466 + 102*b27*b468 + 1530*b27*b469 + 1122*b27*b470 + 
    3570*b27*b471 + 1122*b27*b472 + 2040*b27*b473 + 2142*b27*b474 + 6222*b27*
    b475 + 8160*b27*b476 + 5916*b27*b477 + 2142*b27*b478 + 7752*b27*b479 + 4488
    *b27*b480 + 8670*b27*b481 + 9588*b27*b482 + 9180*b27*b483 + 5202*b27*b484
     + 306*b27*b485 + 4896*b27*b486 + 15288*b27*b487 + 4872*b27*b488 + 168*b27*
    b490 + 2520*b27*b491 + 1848*b27*b492 + 5880*b27*b493 + 1848*b27*b494 + 3360
    *b27*b495 + 3528*b27*b496 + 10248*b27*b497 + 13440*b27*b498 + 9744*b27*b499
     + 3528*b27*b500 + 12768*b27*b501 + 7392*b27*b502 + 14280*b27*b503 + 15792*
    b27*b504 + 15120*b27*b505 + 8568*b27*b506 + 504*b27*b507 + 8064*b27*b508 + 
    15834*b27*b509 + 5046*b27*b510 + 174*b27*b512 + 2610*b27*b513 + 1914*b27*
    b514 + 6090*b27*b515 + 1914*b27*b516 + 3480*b27*b517 + 3654*b27*b518 + 
    10614*b27*b519 + 13920*b27*b520 + 10092*b27*b521 + 3654*b27*b522 + 13224*
    b27*b523 + 7656*b27*b524 + 14790*b27*b525 + 16356*b27*b526 + 15660*b27*b527
     + 8874*b27*b528 + 522*b27*b529 + 8352*b27*b530 + 15416*b27*b534 + 13536*
    b27*b535 + 5452*b27*b536 + 3116*b27*b537 + 2736*b27*b538 + 1102*b27*b539 + 
    8856*b27*b540 + 7776*b27*b541 + 3132*b27*b542 + 6068*b27*b543 + 5328*b27*
    b544 + 2146*b27*b545 + 3280*b27*b549 + 2880*b27*b550 + 1160*b27*b551 + 1968
    *b27*b552 + 1728*b27*b553 + 696*b27*b554 + 1804*b27*b555 + 1584*b27*b556 + 
    638*b27*b557 + 10824*b27*b558 + 9504*b27*b559 + 3828*b27*b560 + 13776*b27*
    b561 + 12096*b27*b562 + 4872*b27*b563 + 13120*b27*b564 + 11520*b27*b565 + 
    4640*b27*b566 + 164*b27*b567 + 144*b27*b568 + 58*b27*b569 + 9020*b27*b570
     + 7920*b27*b571 + 3190*b27*b572 + 1476*b27*b573 + 1296*b27*b574 + 522*b27*
    b575 + 3444*b27*b576 + 3024*b27*b577 + 1218*b27*b578 + 1968*b27*b579 + 1728
    *b27*b580 + 696*b27*b581 + 10660*b27*b582 + 9360*b27*b583 + 3770*b27*b584
     + 1148*b27*b585 + 1008*b27*b586 + 406*b27*b587 + 2788*b27*b588 + 2448*b27*
    b589 + 986*b27*b590 + 8364*b27*b591 + 7344*b27*b592 + 2958*b27*b593 + 13776
    *b27*b594 + 12096*b27*b595 + 4872*b27*b596 + 14268*b27*b597 + 12528*b27*
    b598 + 5046*b27*b599 + 4002*b27*b600 + 138*b27*b602 + 2070*b27*b603 + 1518*
    b27*b604 + 4830*b27*b605 + 1518*b27*b606 + 2760*b27*b607 + 2898*b27*b608 + 
    8418*b27*b609 + 11040*b27*b610 + 8004*b27*b611 + 2898*b27*b612 + 10488*b27*
    b613 + 9936*b27*b614 + 6072*b27*b615 + 11730*b27*b616 + 12972*b27*b617 + 
    12420*b27*b618 + 7038*b27*b619 + 414*b27*b620 + 6624*b27*b621 + 4002*b27*
    b622 + 12558*b27*b623 + 12956*b27*b624 + 11376*b27*b625 + 4582*b27*b626 + 
    2068*b28*b47 + 15416*b28*b48 + 188*b28*b49 + 16920*b28*b51 + 12408*b28*b52
     + 7708*b28*b53 + 2820*b28*b54 + 15604*b28*b55 + 18048*b28*b56 + 13912*b28*
    b57 + 8460*b28*b58 + 12220*b28*b59 + 7520*b28*b60 + 10152*b28*b61 + 2632*
    b28*b62 + 13348*b28*b63 + 14476*b28*b64 + 6768*b28*b65 + 9964*b28*b66 + 
    6956*b28*b67 + 4888*b28*b68 + 418*b28*b69 + 3116*b28*b70 + 38*b28*b71 + 
    3420*b28*b73 + 2508*b28*b74 + 1558*b28*b75 + 570*b28*b76 + 3154*b28*b77 + 
    3648*b28*b78 + 2812*b28*b79 + 1710*b28*b80 + 2470*b28*b81 + 1520*b28*b82 + 
    2052*b28*b83 + 532*b28*b84 + 2698*b28*b85 + 2926*b28*b86 + 1368*b28*b87 + 
    2014*b28*b88 + 1406*b28*b89 + 988*b28*b90 + 1188*b28*b91 + 8856*b28*b92 + 
    108*b28*b93 + 9720*b28*b95 + 7128*b28*b96 + 4428*b28*b97 + 1620*b28*b98 + 
    8964*b28*b99 + 10368*b28*b100 + 7992*b28*b101 + 4860*b28*b102 + 7020*b28*
    b103 + 4320*b28*b104 + 5832*b28*b105 + 1512*b28*b106 + 7668*b28*b107 + 8316
    *b28*b108 + 3888*b28*b109 + 5724*b28*b110 + 3996*b28*b111 + 2808*b28*b112
     + 814*b28*b113 + 6068*b28*b114 + 74*b28*b115 + 6660*b28*b117 + 4884*b28*
    b118 + 3034*b28*b119 + 1110*b28*b120 + 6142*b28*b121 + 7104*b28*b122 + 5476
    *b28*b123 + 3330*b28*b124 + 4810*b28*b125 + 2960*b28*b126 + 3996*b28*b127
     + 1036*b28*b128 + 5254*b28*b129 + 5698*b28*b130 + 2664*b28*b131 + 3922*b28
    *b132 + 2738*b28*b133 + 1924*b28*b134 + 440*b28*b157 + 3280*b28*b158 + 40*
    b28*b159 + 3600*b28*b161 + 2640*b28*b162 + 1640*b28*b163 + 600*b28*b164 + 
    3320*b28*b165 + 3840*b28*b166 + 2960*b28*b167 + 1800*b28*b168 + 2600*b28*
    b169 + 1600*b28*b170 + 2160*b28*b171 + 560*b28*b172 + 2840*b28*b173 + 3080*
    b28*b174 + 1440*b28*b175 + 2120*b28*b176 + 1480*b28*b177 + 1040*b28*b178 + 
    264*b28*b179 + 1968*b28*b180 + 24*b28*b181 + 2160*b28*b183 + 1584*b28*b184
     + 984*b28*b185 + 360*b28*b186 + 1992*b28*b187 + 2304*b28*b188 + 1776*b28*
    b189 + 1080*b28*b190 + 1560*b28*b191 + 960*b28*b192 + 1296*b28*b193 + 336*
    b28*b194 + 1704*b28*b195 + 1848*b28*b196 + 864*b28*b197 + 1272*b28*b198 + 
    888*b28*b199 + 624*b28*b200 + 242*b28*b201 + 1804*b28*b202 + 22*b28*b203 + 
    1980*b28*b205 + 1452*b28*b206 + 902*b28*b207 + 330*b28*b208 + 1826*b28*b209
     + 2112*b28*b210 + 1628*b28*b211 + 990*b28*b212 + 1430*b28*b213 + 880*b28*
    b214 + 1188*b28*b215 + 308*b28*b216 + 1562*b28*b217 + 1694*b28*b218 + 792*
    b28*b219 + 1166*b28*b220 + 814*b28*b221 + 572*b28*b222 + 1452*b28*b223 + 
    10824*b28*b224 + 132*b28*b225 + 11880*b28*b227 + 8712*b28*b228 + 5412*b28*
    b229 + 1980*b28*b230 + 10956*b28*b231 + 12672*b28*b232 + 9768*b28*b233 + 
    5940*b28*b234 + 8580*b28*b235 + 5280*b28*b236 + 7128*b28*b237 + 1848*b28*
    b238 + 9372*b28*b239 + 10164*b28*b240 + 4752*b28*b241 + 6996*b28*b242 + 
    4884*b28*b243 + 3432*b28*b244 + 1848*b28*b245 + 13776*b28*b246 + 168*b28*
    b247 + 15120*b28*b249 + 11088*b28*b250 + 6888*b28*b251 + 2520*b28*b252 + 
    13944*b28*b253 + 16128*b28*b254 + 12432*b28*b255 + 7560*b28*b256 + 10920*
    b28*b257 + 6720*b28*b258 + 9072*b28*b259 + 2352*b28*b260 + 11928*b28*b261
     + 12936*b28*b262 + 6048*b28*b263 + 8904*b28*b264 + 6216*b28*b265 + 4368*
    b28*b266 + 1760*b28*b267 + 13120*b28*b268 + 160*b28*b269 + 14400*b28*b271
     + 10560*b28*b272 + 6560*b28*b273 + 2400*b28*b274 + 13280*b28*b275 + 15360*
    b28*b276 + 11840*b28*b277 + 7200*b28*b278 + 10400*b28*b279 + 6400*b28*b280
     + 8640*b28*b281 + 2240*b28*b282 + 11360*b28*b283 + 12320*b28*b284 + 5760*
    b28*b285 + 8480*b28*b286 + 5920*b28*b287 + 4160*b28*b288 + 22*b28*b289 + 
    164*b28*b290 + 2*b28*b291 + 180*b28*b293 + 132*b28*b294 + 82*b28*b295 + 30*
    b28*b296 + 166*b28*b297 + 192*b28*b298 + 148*b28*b299 + 90*b28*b300 + 130*
    b28*b301 + 80*b28*b302 + 108*b28*b303 + 28*b28*b304 + 142*b28*b305 + 154*
    b28*b306 + 72*b28*b307 + 106*b28*b308 + 74*b28*b309 + 52*b28*b310 + 1210*
    b28*b311 + 9020*b28*b312 + 110*b28*b313 + 9900*b28*b315 + 7260*b28*b316 + 
    4510*b28*b317 + 1650*b28*b318 + 9130*b28*b319 + 10560*b28*b320 + 8140*b28*
    b321 + 4950*b28*b322 + 7150*b28*b323 + 4400*b28*b324 + 5940*b28*b325 + 1540
    *b28*b326 + 7810*b28*b327 + 8470*b28*b328 + 3960*b28*b329 + 5830*b28*b330
     + 4070*b28*b331 + 2860*b28*b332 + 198*b28*b333 + 1476*b28*b334 + 18*b28*
    b335 + 1620*b28*b337 + 1188*b28*b338 + 738*b28*b339 + 270*b28*b340 + 1494*
    b28*b341 + 1728*b28*b342 + 1332*b28*b343 + 810*b28*b344 + 1170*b28*b345 + 
    720*b28*b346 + 972*b28*b347 + 252*b28*b348 + 1278*b28*b349 + 1386*b28*b350
     + 648*b28*b351 + 954*b28*b352 + 666*b28*b353 + 468*b28*b354 + 462*b28*b355
     + 3444*b28*b356 + 42*b28*b357 + 3780*b28*b359 + 2772*b28*b360 + 1722*b28*
    b361 + 630*b28*b362 + 3486*b28*b363 + 4032*b28*b364 + 3108*b28*b365 + 1890*
    b28*b366 + 2730*b28*b367 + 1680*b28*b368 + 2268*b28*b369 + 588*b28*b370 + 
    2982*b28*b371 + 3234*b28*b372 + 1512*b28*b373 + 2226*b28*b374 + 1554*b28*
    b375 + 1092*b28*b376 + 264*b28*b377 + 1968*b28*b378 + 24*b28*b379 + 2160*
    b28*b381 + 1584*b28*b382 + 984*b28*b383 + 360*b28*b384 + 1992*b28*b385 + 
    2304*b28*b386 + 1776*b28*b387 + 1080*b28*b388 + 1560*b28*b389 + 960*b28*
    b390 + 1296*b28*b391 + 336*b28*b392 + 1704*b28*b393 + 1848*b28*b394 + 864*
    b28*b395 + 1272*b28*b396 + 888*b28*b397 + 624*b28*b398 + 1430*b28*b399 + 
    10660*b28*b400 + 130*b28*b401 + 11700*b28*b403 + 8580*b28*b404 + 5330*b28*
    b405 + 1950*b28*b406 + 10790*b28*b407 + 12480*b28*b408 + 9620*b28*b409 + 
    5850*b28*b410 + 8450*b28*b411 + 5200*b28*b412 + 7020*b28*b413 + 1820*b28*
    b414 + 9230*b28*b415 + 10010*b28*b416 + 4680*b28*b417 + 6890*b28*b418 + 
    4810*b28*b419 + 3380*b28*b420 + 154*b28*b421 + 1148*b28*b422 + 14*b28*b423
     + 1260*b28*b425 + 924*b28*b426 + 574*b28*b427 + 210*b28*b428 + 1162*b28*
    b429 + 1344*b28*b430 + 1036*b28*b431 + 630*b28*b432 + 910*b28*b433 + 560*
    b28*b434 + 756*b28*b435 + 196*b28*b436 + 994*b28*b437 + 1078*b28*b438 + 504
    *b28*b439 + 742*b28*b440 + 518*b28*b441 + 364*b28*b442 + 374*b28*b443 + 
    2788*b28*b444 + 34*b28*b445 + 3060*b28*b447 + 2244*b28*b448 + 1394*b28*b449
     + 510*b28*b450 + 2822*b28*b451 + 3264*b28*b452 + 2516*b28*b453 + 1530*b28*
    b454 + 2210*b28*b455 + 1360*b28*b456 + 1836*b28*b457 + 476*b28*b458 + 2414*
    b28*b459 + 2618*b28*b460 + 1224*b28*b461 + 1802*b28*b462 + 1258*b28*b463 + 
    884*b28*b464 + 1122*b28*b465 + 8364*b28*b466 + 102*b28*b467 + 9180*b28*b469
     + 6732*b28*b470 + 4182*b28*b471 + 1530*b28*b472 + 8466*b28*b473 + 9792*b28
    *b474 + 7548*b28*b475 + 4590*b28*b476 + 6630*b28*b477 + 4080*b28*b478 + 
    5508*b28*b479 + 1428*b28*b480 + 7242*b28*b481 + 7854*b28*b482 + 3672*b28*
    b483 + 5406*b28*b484 + 3774*b28*b485 + 2652*b28*b486 + 1848*b28*b487 + 
    13776*b28*b488 + 168*b28*b489 + 15120*b28*b491 + 11088*b28*b492 + 6888*b28*
    b493 + 2520*b28*b494 + 13944*b28*b495 + 16128*b28*b496 + 12432*b28*b497 + 
    7560*b28*b498 + 10920*b28*b499 + 6720*b28*b500 + 9072*b28*b501 + 2352*b28*
    b502 + 11928*b28*b503 + 12936*b28*b504 + 6048*b28*b505 + 8904*b28*b506 + 
    6216*b28*b507 + 4368*b28*b508 + 1914*b28*b509 + 14268*b28*b510 + 174*b28*
    b511 + 15660*b28*b513 + 11484*b28*b514 + 7134*b28*b515 + 2610*b28*b516 + 
    14442*b28*b517 + 16704*b28*b518 + 12876*b28*b519 + 7830*b28*b520 + 11310*
    b28*b521 + 6960*b28*b522 + 9396*b28*b523 + 2436*b28*b524 + 12354*b28*b525
     + 13398*b28*b526 + 6264*b28*b527 + 9222*b28*b528 + 6438*b28*b529 + 4524*
    b28*b530 + 10528*b28*b534 + 15604*b28*b535 + 16356*b28*b536 + 2128*b28*b537
     + 3154*b28*b538 + 3306*b28*b539 + 6048*b28*b540 + 8964*b28*b541 + 9396*b28
    *b542 + 4144*b28*b543 + 6142*b28*b544 + 6438*b28*b545 + 2240*b28*b549 + 
    3320*b28*b550 + 3480*b28*b551 + 1344*b28*b552 + 1992*b28*b553 + 2088*b28*
    b554 + 1232*b28*b555 + 1826*b28*b556 + 1914*b28*b557 + 7392*b28*b558 + 
    10956*b28*b559 + 11484*b28*b560 + 9408*b28*b561 + 13944*b28*b562 + 14616*
    b28*b563 + 8960*b28*b564 + 13280*b28*b565 + 13920*b28*b566 + 112*b28*b567
     + 166*b28*b568 + 174*b28*b569 + 6160*b28*b570 + 9130*b28*b571 + 9570*b28*
    b572 + 1008*b28*b573 + 1494*b28*b574 + 1566*b28*b575 + 2352*b28*b576 + 3486
    *b28*b577 + 3654*b28*b578 + 1344*b28*b579 + 1992*b28*b580 + 2088*b28*b581
     + 7280*b28*b582 + 10790*b28*b583 + 11310*b28*b584 + 784*b28*b585 + 1162*
    b28*b586 + 1218*b28*b587 + 1904*b28*b588 + 2822*b28*b589 + 2958*b28*b590 + 
    5712*b28*b591 + 8466*b28*b592 + 8874*b28*b593 + 9408*b28*b594 + 13944*b28*
    b595 + 14616*b28*b596 + 9744*b28*b597 + 14442*b28*b598 + 15138*b28*b599 + 
    11316*b28*b600 + 138*b28*b601 + 12420*b28*b603 + 9108*b28*b604 + 5658*b28*
    b605 + 2070*b28*b606 + 11454*b28*b607 + 13248*b28*b608 + 10212*b28*b609 + 
    6210*b28*b610 + 8970*b28*b611 + 5520*b28*b612 + 7452*b28*b613 + 11454*b28*
    b614 + 1932*b28*b615 + 9798*b28*b616 + 10626*b28*b617 + 4968*b28*b618 + 
    7314*b28*b619 + 5106*b28*b620 + 3588*b28*b621 + 12006*b28*b622 + 1518*b28*
    b623 + 8848*b28*b624 + 13114*b28*b625 + 13746*b28*b626 + 6580*b29*b47 + 
    15416*b29*b48 + 2820*b29*b49 + 16920*b29*b50 + 14288*b29*b52 + 17108*b29*
    b53 + 2444*b29*b54 + 5452*b29*b55 + 2068*b29*b56 + 14476*b29*b57 + 6016*b29
    *b58 + 16356*b29*b59 + 12596*b29*b60 + 17672*b29*b61 + 376*b29*b62 + 1880*
    b29*b63 + 18612*b29*b64 + 10528*b29*b65 + 13160*b29*b66 + 18612*b29*b67 + 
    11280*b29*b68 + 1330*b29*b69 + 3116*b29*b70 + 570*b29*b71 + 3420*b29*b72 + 
    2888*b29*b74 + 3458*b29*b75 + 494*b29*b76 + 1102*b29*b77 + 418*b29*b78 + 
    2926*b29*b79 + 1216*b29*b80 + 3306*b29*b81 + 2546*b29*b82 + 3572*b29*b83 + 
    76*b29*b84 + 380*b29*b85 + 3762*b29*b86 + 2128*b29*b87 + 2660*b29*b88 + 
    3762*b29*b89 + 2280*b29*b90 + 3780*b29*b91 + 8856*b29*b92 + 1620*b29*b93 + 
    9720*b29*b94 + 8208*b29*b96 + 9828*b29*b97 + 1404*b29*b98 + 3132*b29*b99 + 
    1188*b29*b100 + 8316*b29*b101 + 3456*b29*b102 + 9396*b29*b103 + 7236*b29*
    b104 + 10152*b29*b105 + 216*b29*b106 + 1080*b29*b107 + 10692*b29*b108 + 
    6048*b29*b109 + 7560*b29*b110 + 10692*b29*b111 + 6480*b29*b112 + 2590*b29*
    b113 + 6068*b29*b114 + 1110*b29*b115 + 6660*b29*b116 + 5624*b29*b118 + 6734
    *b29*b119 + 962*b29*b120 + 2146*b29*b121 + 814*b29*b122 + 5698*b29*b123 + 
    2368*b29*b124 + 6438*b29*b125 + 4958*b29*b126 + 6956*b29*b127 + 148*b29*
    b128 + 740*b29*b129 + 7326*b29*b130 + 4144*b29*b131 + 5180*b29*b132 + 7326*
    b29*b133 + 4440*b29*b134 + 1400*b29*b157 + 3280*b29*b158 + 600*b29*b159 + 
    3600*b29*b160 + 3040*b29*b162 + 3640*b29*b163 + 520*b29*b164 + 1160*b29*
    b165 + 440*b29*b166 + 3080*b29*b167 + 1280*b29*b168 + 3480*b29*b169 + 2680*
    b29*b170 + 3760*b29*b171 + 80*b29*b172 + 400*b29*b173 + 3960*b29*b174 + 
    2240*b29*b175 + 2800*b29*b176 + 3960*b29*b177 + 2400*b29*b178 + 840*b29*
    b179 + 1968*b29*b180 + 360*b29*b181 + 2160*b29*b182 + 1824*b29*b184 + 2184*
    b29*b185 + 312*b29*b186 + 696*b29*b187 + 264*b29*b188 + 1848*b29*b189 + 768
    *b29*b190 + 2088*b29*b191 + 1608*b29*b192 + 2256*b29*b193 + 48*b29*b194 + 
    240*b29*b195 + 2376*b29*b196 + 1344*b29*b197 + 1680*b29*b198 + 2376*b29*
    b199 + 1440*b29*b200 + 770*b29*b201 + 1804*b29*b202 + 330*b29*b203 + 1980*
    b29*b204 + 1672*b29*b206 + 2002*b29*b207 + 286*b29*b208 + 638*b29*b209 + 
    242*b29*b210 + 1694*b29*b211 + 704*b29*b212 + 1914*b29*b213 + 1474*b29*b214
     + 2068*b29*b215 + 44*b29*b216 + 220*b29*b217 + 2178*b29*b218 + 1232*b29*
    b219 + 1540*b29*b220 + 2178*b29*b221 + 1320*b29*b222 + 4620*b29*b223 + 
    10824*b29*b224 + 1980*b29*b225 + 11880*b29*b226 + 10032*b29*b228 + 12012*
    b29*b229 + 1716*b29*b230 + 3828*b29*b231 + 1452*b29*b232 + 10164*b29*b233
     + 4224*b29*b234 + 11484*b29*b235 + 8844*b29*b236 + 12408*b29*b237 + 264*
    b29*b238 + 1320*b29*b239 + 13068*b29*b240 + 7392*b29*b241 + 9240*b29*b242
     + 13068*b29*b243 + 7920*b29*b244 + 5880*b29*b245 + 13776*b29*b246 + 2520*
    b29*b247 + 15120*b29*b248 + 12768*b29*b250 + 15288*b29*b251 + 2184*b29*b252
     + 4872*b29*b253 + 1848*b29*b254 + 12936*b29*b255 + 5376*b29*b256 + 14616*
    b29*b257 + 11256*b29*b258 + 15792*b29*b259 + 336*b29*b260 + 1680*b29*b261
     + 16632*b29*b262 + 9408*b29*b263 + 11760*b29*b264 + 16632*b29*b265 + 10080
    *b29*b266 + 5600*b29*b267 + 13120*b29*b268 + 2400*b29*b269 + 14400*b29*b270
     + 12160*b29*b272 + 14560*b29*b273 + 2080*b29*b274 + 4640*b29*b275 + 1760*
    b29*b276 + 12320*b29*b277 + 5120*b29*b278 + 13920*b29*b279 + 10720*b29*b280
     + 15040*b29*b281 + 320*b29*b282 + 1600*b29*b283 + 15840*b29*b284 + 8960*
    b29*b285 + 11200*b29*b286 + 15840*b29*b287 + 9600*b29*b288 + 70*b29*b289 + 
    164*b29*b290 + 30*b29*b291 + 180*b29*b292 + 152*b29*b294 + 182*b29*b295 + 
    26*b29*b296 + 58*b29*b297 + 22*b29*b298 + 154*b29*b299 + 64*b29*b300 + 174*
    b29*b301 + 134*b29*b302 + 188*b29*b303 + 4*b29*b304 + 20*b29*b305 + 198*b29
    *b306 + 112*b29*b307 + 140*b29*b308 + 198*b29*b309 + 120*b29*b310 + 3850*
    b29*b311 + 9020*b29*b312 + 1650*b29*b313 + 9900*b29*b314 + 8360*b29*b316 + 
    10010*b29*b317 + 1430*b29*b318 + 3190*b29*b319 + 1210*b29*b320 + 8470*b29*
    b321 + 3520*b29*b322 + 9570*b29*b323 + 7370*b29*b324 + 10340*b29*b325 + 220
    *b29*b326 + 1100*b29*b327 + 10890*b29*b328 + 6160*b29*b329 + 7700*b29*b330
     + 10890*b29*b331 + 6600*b29*b332 + 630*b29*b333 + 1476*b29*b334 + 270*b29*
    b335 + 1620*b29*b336 + 1368*b29*b338 + 1638*b29*b339 + 234*b29*b340 + 522*
    b29*b341 + 198*b29*b342 + 1386*b29*b343 + 576*b29*b344 + 1566*b29*b345 + 
    1206*b29*b346 + 1692*b29*b347 + 36*b29*b348 + 180*b29*b349 + 1782*b29*b350
     + 1008*b29*b351 + 1260*b29*b352 + 1782*b29*b353 + 1080*b29*b354 + 1470*b29
    *b355 + 3444*b29*b356 + 630*b29*b357 + 3780*b29*b358 + 3192*b29*b360 + 3822
    *b29*b361 + 546*b29*b362 + 1218*b29*b363 + 462*b29*b364 + 3234*b29*b365 + 
    1344*b29*b366 + 3654*b29*b367 + 2814*b29*b368 + 3948*b29*b369 + 84*b29*b370
     + 420*b29*b371 + 4158*b29*b372 + 2352*b29*b373 + 2940*b29*b374 + 4158*b29*
    b375 + 2520*b29*b376 + 840*b29*b377 + 1968*b29*b378 + 360*b29*b379 + 2160*
    b29*b380 + 1824*b29*b382 + 2184*b29*b383 + 312*b29*b384 + 696*b29*b385 + 
    264*b29*b386 + 1848*b29*b387 + 768*b29*b388 + 2088*b29*b389 + 1608*b29*b390
     + 2256*b29*b391 + 48*b29*b392 + 240*b29*b393 + 2376*b29*b394 + 1344*b29*
    b395 + 1680*b29*b396 + 2376*b29*b397 + 1440*b29*b398 + 4550*b29*b399 + 
    10660*b29*b400 + 1950*b29*b401 + 11700*b29*b402 + 9880*b29*b404 + 11830*b29
    *b405 + 1690*b29*b406 + 3770*b29*b407 + 1430*b29*b408 + 10010*b29*b409 + 
    4160*b29*b410 + 11310*b29*b411 + 8710*b29*b412 + 12220*b29*b413 + 260*b29*
    b414 + 1300*b29*b415 + 12870*b29*b416 + 7280*b29*b417 + 9100*b29*b418 + 
    12870*b29*b419 + 7800*b29*b420 + 490*b29*b421 + 1148*b29*b422 + 210*b29*
    b423 + 1260*b29*b424 + 1064*b29*b426 + 1274*b29*b427 + 182*b29*b428 + 406*
    b29*b429 + 154*b29*b430 + 1078*b29*b431 + 448*b29*b432 + 1218*b29*b433 + 
    938*b29*b434 + 1316*b29*b435 + 28*b29*b436 + 140*b29*b437 + 1386*b29*b438
     + 784*b29*b439 + 980*b29*b440 + 1386*b29*b441 + 840*b29*b442 + 1190*b29*
    b443 + 2788*b29*b444 + 510*b29*b445 + 3060*b29*b446 + 2584*b29*b448 + 3094*
    b29*b449 + 442*b29*b450 + 986*b29*b451 + 374*b29*b452 + 2618*b29*b453 + 
    1088*b29*b454 + 2958*b29*b455 + 2278*b29*b456 + 3196*b29*b457 + 68*b29*b458
     + 340*b29*b459 + 3366*b29*b460 + 1904*b29*b461 + 2380*b29*b462 + 3366*b29*
    b463 + 2040*b29*b464 + 3570*b29*b465 + 8364*b29*b466 + 1530*b29*b467 + 9180
    *b29*b468 + 7752*b29*b470 + 9282*b29*b471 + 1326*b29*b472 + 2958*b29*b473
     + 1122*b29*b474 + 7854*b29*b475 + 3264*b29*b476 + 8874*b29*b477 + 6834*b29
    *b478 + 9588*b29*b479 + 204*b29*b480 + 1020*b29*b481 + 10098*b29*b482 + 
    5712*b29*b483 + 7140*b29*b484 + 10098*b29*b485 + 6120*b29*b486 + 5880*b29*
    b487 + 13776*b29*b488 + 2520*b29*b489 + 15120*b29*b490 + 12768*b29*b492 + 
    15288*b29*b493 + 2184*b29*b494 + 4872*b29*b495 + 1848*b29*b496 + 12936*b29*
    b497 + 5376*b29*b498 + 14616*b29*b499 + 11256*b29*b500 + 15792*b29*b501 + 
    336*b29*b502 + 1680*b29*b503 + 16632*b29*b504 + 9408*b29*b505 + 11760*b29*
    b506 + 16632*b29*b507 + 10080*b29*b508 + 6090*b29*b509 + 14268*b29*b510 + 
    2610*b29*b511 + 15660*b29*b512 + 13224*b29*b514 + 15834*b29*b515 + 2262*b29
    *b516 + 5046*b29*b517 + 1914*b29*b518 + 13398*b29*b519 + 5568*b29*b520 + 
    15138*b29*b521 + 11658*b29*b522 + 16356*b29*b523 + 348*b29*b524 + 1740*b29*
    b525 + 17226*b29*b526 + 9744*b29*b527 + 12180*b29*b528 + 17226*b29*b529 + 
    10440*b29*b530 + 7708*b29*b534 + 14852*b29*b535 + 752*b29*b536 + 1558*b29*
    b537 + 3002*b29*b538 + 152*b29*b539 + 4428*b29*b540 + 8532*b29*b541 + 432*
    b29*b542 + 3034*b29*b543 + 5846*b29*b544 + 296*b29*b545 + 1640*b29*b549 + 
    3160*b29*b550 + 160*b29*b551 + 984*b29*b552 + 1896*b29*b553 + 96*b29*b554
     + 902*b29*b555 + 1738*b29*b556 + 88*b29*b557 + 5412*b29*b558 + 10428*b29*
    b559 + 528*b29*b560 + 6888*b29*b561 + 13272*b29*b562 + 672*b29*b563 + 6560*
    b29*b564 + 12640*b29*b565 + 640*b29*b566 + 82*b29*b567 + 158*b29*b568 + 8*
    b29*b569 + 4510*b29*b570 + 8690*b29*b571 + 440*b29*b572 + 738*b29*b573 + 
    1422*b29*b574 + 72*b29*b575 + 1722*b29*b576 + 3318*b29*b577 + 168*b29*b578
     + 984*b29*b579 + 1896*b29*b580 + 96*b29*b581 + 5330*b29*b582 + 10270*b29*
    b583 + 520*b29*b584 + 574*b29*b585 + 1106*b29*b586 + 56*b29*b587 + 1394*b29
    *b588 + 2686*b29*b589 + 136*b29*b590 + 4182*b29*b591 + 8058*b29*b592 + 408*
    b29*b593 + 6888*b29*b594 + 13272*b29*b595 + 672*b29*b596 + 7134*b29*b597 + 
    13746*b29*b598 + 696*b29*b599 + 11316*b29*b600 + 2070*b29*b601 + 12420*b29*
    b602 + 10488*b29*b604 + 12558*b29*b605 + 1794*b29*b606 + 4002*b29*b607 + 
    1518*b29*b608 + 10626*b29*b609 + 4416*b29*b610 + 12006*b29*b611 + 9246*b29*
    b612 + 12972*b29*b613 + 10902*b29*b614 + 276*b29*b615 + 1380*b29*b616 + 
    13662*b29*b617 + 7728*b29*b618 + 9660*b29*b619 + 13662*b29*b620 + 8280*b29*
    b621 + 552*b29*b622 + 4830*b29*b623 + 6478*b29*b624 + 12482*b29*b625 + 632*
    b29*b626 + 15416*b30*b47 + 1128*b30*b48 + 2068*b30*b49 + 12408*b30*b50 + 
    14288*b30*b51 + 10528*b30*b53 + 376*b30*b54 + 11280*b30*b55 + 13536*b30*b56
     + 13912*b30*b57 + 8648*b30*b58 + 2444*b30*b59 + 3760*b30*b60 + 16168*b30*
    b61 + 14476*b30*b62 + 2820*b30*b63 + 16732*b30*b64 + 9024*b30*b65 + 2632*
    b30*b66 + 16732*b30*b67 + 8272*b30*b68 + 3116*b30*b69 + 228*b30*b70 + 418*
    b30*b71 + 2508*b30*b72 + 2888*b30*b73 + 2128*b30*b75 + 76*b30*b76 + 2280*
    b30*b77 + 2736*b30*b78 + 2812*b30*b79 + 1748*b30*b80 + 494*b30*b81 + 760*
    b30*b82 + 3268*b30*b83 + 2926*b30*b84 + 570*b30*b85 + 3382*b30*b86 + 1824*
    b30*b87 + 532*b30*b88 + 3382*b30*b89 + 1672*b30*b90 + 8856*b30*b91 + 648*
    b30*b92 + 1188*b30*b93 + 7128*b30*b94 + 8208*b30*b95 + 6048*b30*b97 + 216*
    b30*b98 + 6480*b30*b99 + 7776*b30*b100 + 7992*b30*b101 + 4968*b30*b102 + 
    1404*b30*b103 + 2160*b30*b104 + 9288*b30*b105 + 8316*b30*b106 + 1620*b30*
    b107 + 9612*b30*b108 + 5184*b30*b109 + 1512*b30*b110 + 9612*b30*b111 + 4752
    *b30*b112 + 6068*b30*b113 + 444*b30*b114 + 814*b30*b115 + 4884*b30*b116 + 
    5624*b30*b117 + 4144*b30*b119 + 148*b30*b120 + 4440*b30*b121 + 5328*b30*
    b122 + 5476*b30*b123 + 3404*b30*b124 + 962*b30*b125 + 1480*b30*b126 + 6364*
    b30*b127 + 5698*b30*b128 + 1110*b30*b129 + 6586*b30*b130 + 3552*b30*b131 + 
    1036*b30*b132 + 6586*b30*b133 + 3256*b30*b134 + 3280*b30*b157 + 240*b30*
    b158 + 440*b30*b159 + 2640*b30*b160 + 3040*b30*b161 + 2240*b30*b163 + 80*
    b30*b164 + 2400*b30*b165 + 2880*b30*b166 + 2960*b30*b167 + 1840*b30*b168 + 
    520*b30*b169 + 800*b30*b170 + 3440*b30*b171 + 3080*b30*b172 + 600*b30*b173
     + 3560*b30*b174 + 1920*b30*b175 + 560*b30*b176 + 3560*b30*b177 + 1760*b30*
    b178 + 1968*b30*b179 + 144*b30*b180 + 264*b30*b181 + 1584*b30*b182 + 1824*
    b30*b183 + 1344*b30*b185 + 48*b30*b186 + 1440*b30*b187 + 1728*b30*b188 + 
    1776*b30*b189 + 1104*b30*b190 + 312*b30*b191 + 480*b30*b192 + 2064*b30*b193
     + 1848*b30*b194 + 360*b30*b195 + 2136*b30*b196 + 1152*b30*b197 + 336*b30*
    b198 + 2136*b30*b199 + 1056*b30*b200 + 1804*b30*b201 + 132*b30*b202 + 242*
    b30*b203 + 1452*b30*b204 + 1672*b30*b205 + 1232*b30*b207 + 44*b30*b208 + 
    1320*b30*b209 + 1584*b30*b210 + 1628*b30*b211 + 1012*b30*b212 + 286*b30*
    b213 + 440*b30*b214 + 1892*b30*b215 + 1694*b30*b216 + 330*b30*b217 + 1958*
    b30*b218 + 1056*b30*b219 + 308*b30*b220 + 1958*b30*b221 + 968*b30*b222 + 
    10824*b30*b223 + 792*b30*b224 + 1452*b30*b225 + 8712*b30*b226 + 10032*b30*
    b227 + 7392*b30*b229 + 264*b30*b230 + 7920*b30*b231 + 9504*b30*b232 + 9768*
    b30*b233 + 6072*b30*b234 + 1716*b30*b235 + 2640*b30*b236 + 11352*b30*b237
     + 10164*b30*b238 + 1980*b30*b239 + 11748*b30*b240 + 6336*b30*b241 + 1848*
    b30*b242 + 11748*b30*b243 + 5808*b30*b244 + 13776*b30*b245 + 1008*b30*b246
     + 1848*b30*b247 + 11088*b30*b248 + 12768*b30*b249 + 9408*b30*b251 + 336*
    b30*b252 + 10080*b30*b253 + 12096*b30*b254 + 12432*b30*b255 + 7728*b30*b256
     + 2184*b30*b257 + 3360*b30*b258 + 14448*b30*b259 + 12936*b30*b260 + 2520*
    b30*b261 + 14952*b30*b262 + 8064*b30*b263 + 2352*b30*b264 + 14952*b30*b265
     + 7392*b30*b266 + 13120*b30*b267 + 960*b30*b268 + 1760*b30*b269 + 10560*
    b30*b270 + 12160*b30*b271 + 8960*b30*b273 + 320*b30*b274 + 9600*b30*b275 + 
    11520*b30*b276 + 11840*b30*b277 + 7360*b30*b278 + 2080*b30*b279 + 3200*b30*
    b280 + 13760*b30*b281 + 12320*b30*b282 + 2400*b30*b283 + 14240*b30*b284 + 
    7680*b30*b285 + 2240*b30*b286 + 14240*b30*b287 + 7040*b30*b288 + 164*b30*
    b289 + 12*b30*b290 + 22*b30*b291 + 132*b30*b292 + 152*b30*b293 + 112*b30*
    b295 + 4*b30*b296 + 120*b30*b297 + 144*b30*b298 + 148*b30*b299 + 92*b30*
    b300 + 26*b30*b301 + 40*b30*b302 + 172*b30*b303 + 154*b30*b304 + 30*b30*
    b305 + 178*b30*b306 + 96*b30*b307 + 28*b30*b308 + 178*b30*b309 + 88*b30*
    b310 + 9020*b30*b311 + 660*b30*b312 + 1210*b30*b313 + 7260*b30*b314 + 8360*
    b30*b315 + 6160*b30*b317 + 220*b30*b318 + 6600*b30*b319 + 7920*b30*b320 + 
    8140*b30*b321 + 5060*b30*b322 + 1430*b30*b323 + 2200*b30*b324 + 9460*b30*
    b325 + 8470*b30*b326 + 1650*b30*b327 + 9790*b30*b328 + 5280*b30*b329 + 1540
    *b30*b330 + 9790*b30*b331 + 4840*b30*b332 + 1476*b30*b333 + 108*b30*b334 + 
    198*b30*b335 + 1188*b30*b336 + 1368*b30*b337 + 1008*b30*b339 + 36*b30*b340
     + 1080*b30*b341 + 1296*b30*b342 + 1332*b30*b343 + 828*b30*b344 + 234*b30*
    b345 + 360*b30*b346 + 1548*b30*b347 + 1386*b30*b348 + 270*b30*b349 + 1602*
    b30*b350 + 864*b30*b351 + 252*b30*b352 + 1602*b30*b353 + 792*b30*b354 + 
    3444*b30*b355 + 252*b30*b356 + 462*b30*b357 + 2772*b30*b358 + 3192*b30*b359
     + 2352*b30*b361 + 84*b30*b362 + 2520*b30*b363 + 3024*b30*b364 + 3108*b30*
    b365 + 1932*b30*b366 + 546*b30*b367 + 840*b30*b368 + 3612*b30*b369 + 3234*
    b30*b370 + 630*b30*b371 + 3738*b30*b372 + 2016*b30*b373 + 588*b30*b374 + 
    3738*b30*b375 + 1848*b30*b376 + 1968*b30*b377 + 144*b30*b378 + 264*b30*b379
     + 1584*b30*b380 + 1824*b30*b381 + 1344*b30*b383 + 48*b30*b384 + 1440*b30*
    b385 + 1728*b30*b386 + 1776*b30*b387 + 1104*b30*b388 + 312*b30*b389 + 480*
    b30*b390 + 2064*b30*b391 + 1848*b30*b392 + 360*b30*b393 + 2136*b30*b394 + 
    1152*b30*b395 + 336*b30*b396 + 2136*b30*b397 + 1056*b30*b398 + 10660*b30*
    b399 + 780*b30*b400 + 1430*b30*b401 + 8580*b30*b402 + 9880*b30*b403 + 7280*
    b30*b405 + 260*b30*b406 + 7800*b30*b407 + 9360*b30*b408 + 9620*b30*b409 + 
    5980*b30*b410 + 1690*b30*b411 + 2600*b30*b412 + 11180*b30*b413 + 10010*b30*
    b414 + 1950*b30*b415 + 11570*b30*b416 + 6240*b30*b417 + 1820*b30*b418 + 
    11570*b30*b419 + 5720*b30*b420 + 1148*b30*b421 + 84*b30*b422 + 154*b30*b423
     + 924*b30*b424 + 1064*b30*b425 + 784*b30*b427 + 28*b30*b428 + 840*b30*b429
     + 1008*b30*b430 + 1036*b30*b431 + 644*b30*b432 + 182*b30*b433 + 280*b30*
    b434 + 1204*b30*b435 + 1078*b30*b436 + 210*b30*b437 + 1246*b30*b438 + 672*
    b30*b439 + 196*b30*b440 + 1246*b30*b441 + 616*b30*b442 + 2788*b30*b443 + 
    204*b30*b444 + 374*b30*b445 + 2244*b30*b446 + 2584*b30*b447 + 1904*b30*b449
     + 68*b30*b450 + 2040*b30*b451 + 2448*b30*b452 + 2516*b30*b453 + 1564*b30*
    b454 + 442*b30*b455 + 680*b30*b456 + 2924*b30*b457 + 2618*b30*b458 + 510*
    b30*b459 + 3026*b30*b460 + 1632*b30*b461 + 476*b30*b462 + 3026*b30*b463 + 
    1496*b30*b464 + 8364*b30*b465 + 612*b30*b466 + 1122*b30*b467 + 6732*b30*
    b468 + 7752*b30*b469 + 5712*b30*b471 + 204*b30*b472 + 6120*b30*b473 + 7344*
    b30*b474 + 7548*b30*b475 + 4692*b30*b476 + 1326*b30*b477 + 2040*b30*b478 + 
    8772*b30*b479 + 7854*b30*b480 + 1530*b30*b481 + 9078*b30*b482 + 4896*b30*
    b483 + 1428*b30*b484 + 9078*b30*b485 + 4488*b30*b486 + 13776*b30*b487 + 
    1008*b30*b488 + 1848*b30*b489 + 11088*b30*b490 + 12768*b30*b491 + 9408*b30*
    b493 + 336*b30*b494 + 10080*b30*b495 + 12096*b30*b496 + 12432*b30*b497 + 
    7728*b30*b498 + 2184*b30*b499 + 3360*b30*b500 + 14448*b30*b501 + 12936*b30*
    b502 + 2520*b30*b503 + 14952*b30*b504 + 8064*b30*b505 + 2352*b30*b506 + 
    14952*b30*b507 + 7392*b30*b508 + 14268*b30*b509 + 1044*b30*b510 + 1914*b30*
    b511 + 11484*b30*b512 + 13224*b30*b513 + 9744*b30*b515 + 348*b30*b516 + 
    10440*b30*b517 + 12528*b30*b518 + 12876*b30*b519 + 8004*b30*b520 + 2262*b30
    *b521 + 3480*b30*b522 + 14964*b30*b523 + 13398*b30*b524 + 2610*b30*b525 + 
    15486*b30*b526 + 8352*b30*b527 + 2436*b30*b528 + 15486*b30*b529 + 7656*b30*
    b530 + 1128*b30*b534 + 752*b30*b535 + 11092*b30*b536 + 228*b30*b537 + 152*
    b30*b538 + 2242*b30*b539 + 648*b30*b540 + 432*b30*b541 + 6372*b30*b542 + 
    444*b30*b543 + 296*b30*b544 + 4366*b30*b545 + 240*b30*b549 + 160*b30*b550
     + 2360*b30*b551 + 144*b30*b552 + 96*b30*b553 + 1416*b30*b554 + 132*b30*
    b555 + 88*b30*b556 + 1298*b30*b557 + 792*b30*b558 + 528*b30*b559 + 7788*b30
    *b560 + 1008*b30*b561 + 672*b30*b562 + 9912*b30*b563 + 960*b30*b564 + 640*
    b30*b565 + 9440*b30*b566 + 12*b30*b567 + 8*b30*b568 + 118*b30*b569 + 660*
    b30*b570 + 440*b30*b571 + 6490*b30*b572 + 108*b30*b573 + 72*b30*b574 + 1062
    *b30*b575 + 252*b30*b576 + 168*b30*b577 + 2478*b30*b578 + 144*b30*b579 + 96
    *b30*b580 + 1416*b30*b581 + 780*b30*b582 + 520*b30*b583 + 7670*b30*b584 + 
    84*b30*b585 + 56*b30*b586 + 826*b30*b587 + 204*b30*b588 + 136*b30*b589 + 
    2006*b30*b590 + 612*b30*b591 + 408*b30*b592 + 6018*b30*b593 + 1008*b30*b594
     + 672*b30*b595 + 9912*b30*b596 + 1044*b30*b597 + 696*b30*b598 + 10266*b30*
    b599 + 828*b30*b600 + 1518*b30*b601 + 9108*b30*b602 + 10488*b30*b603 + 7728
    *b30*b605 + 276*b30*b606 + 8280*b30*b607 + 9936*b30*b608 + 10212*b30*b609
     + 6348*b30*b610 + 1794*b30*b611 + 2760*b30*b612 + 11868*b30*b613 + 552*b30
    *b614 + 10626*b30*b615 + 2070*b30*b616 + 12282*b30*b617 + 6624*b30*b618 + 
    1932*b30*b619 + 12282*b30*b620 + 6072*b30*b621 + 8142*b30*b622 + 11316*b30*
    b623 + 948*b30*b624 + 632*b30*b625 + 9322*b30*b626 + 4888*b31*b47 + 13348*
    b31*b48 + 6580*b31*b49 + 7708*b31*b50 + 17108*b31*b51 + 10528*b31*b52 + 
    4136*b31*b54 + 10716*b31*b55 + 11844*b31*b56 + 1128*b31*b57 + 11656*b31*b59
     + 7708*b31*b60 + 11656*b31*b61 + 4700*b31*b62 + 14100*b31*b63 + 14288*b31*
    b64 + 7520*b31*b65 + 12408*b31*b66 + 10904*b31*b67 + 5640*b31*b68 + 988*b31
    *b69 + 2698*b31*b70 + 1330*b31*b71 + 1558*b31*b72 + 3458*b31*b73 + 2128*b31
    *b74 + 836*b31*b76 + 2166*b31*b77 + 2394*b31*b78 + 228*b31*b79 + 2356*b31*
    b81 + 1558*b31*b82 + 2356*b31*b83 + 950*b31*b84 + 2850*b31*b85 + 2888*b31*
    b86 + 1520*b31*b87 + 2508*b31*b88 + 2204*b31*b89 + 1140*b31*b90 + 2808*b31*
    b91 + 7668*b31*b92 + 3780*b31*b93 + 4428*b31*b94 + 9828*b31*b95 + 6048*b31*
    b96 + 2376*b31*b98 + 6156*b31*b99 + 6804*b31*b100 + 648*b31*b101 + 6696*b31
    *b103 + 4428*b31*b104 + 6696*b31*b105 + 2700*b31*b106 + 8100*b31*b107 + 
    8208*b31*b108 + 4320*b31*b109 + 7128*b31*b110 + 6264*b31*b111 + 3240*b31*
    b112 + 1924*b31*b113 + 5254*b31*b114 + 2590*b31*b115 + 3034*b31*b116 + 6734
    *b31*b117 + 4144*b31*b118 + 1628*b31*b120 + 4218*b31*b121 + 4662*b31*b122
     + 444*b31*b123 + 4588*b31*b125 + 3034*b31*b126 + 4588*b31*b127 + 1850*b31*
    b128 + 5550*b31*b129 + 5624*b31*b130 + 2960*b31*b131 + 4884*b31*b132 + 4292
    *b31*b133 + 2220*b31*b134 + 1040*b31*b157 + 2840*b31*b158 + 1400*b31*b159
     + 1640*b31*b160 + 3640*b31*b161 + 2240*b31*b162 + 880*b31*b164 + 2280*b31*
    b165 + 2520*b31*b166 + 240*b31*b167 + 2480*b31*b169 + 1640*b31*b170 + 2480*
    b31*b171 + 1000*b31*b172 + 3000*b31*b173 + 3040*b31*b174 + 1600*b31*b175 + 
    2640*b31*b176 + 2320*b31*b177 + 1200*b31*b178 + 624*b31*b179 + 1704*b31*
    b180 + 840*b31*b181 + 984*b31*b182 + 2184*b31*b183 + 1344*b31*b184 + 528*
    b31*b186 + 1368*b31*b187 + 1512*b31*b188 + 144*b31*b189 + 1488*b31*b191 + 
    984*b31*b192 + 1488*b31*b193 + 600*b31*b194 + 1800*b31*b195 + 1824*b31*b196
     + 960*b31*b197 + 1584*b31*b198 + 1392*b31*b199 + 720*b31*b200 + 572*b31*
    b201 + 1562*b31*b202 + 770*b31*b203 + 902*b31*b204 + 2002*b31*b205 + 1232*
    b31*b206 + 484*b31*b208 + 1254*b31*b209 + 1386*b31*b210 + 132*b31*b211 + 
    1364*b31*b213 + 902*b31*b214 + 1364*b31*b215 + 550*b31*b216 + 1650*b31*b217
     + 1672*b31*b218 + 880*b31*b219 + 1452*b31*b220 + 1276*b31*b221 + 660*b31*
    b222 + 3432*b31*b223 + 9372*b31*b224 + 4620*b31*b225 + 5412*b31*b226 + 
    12012*b31*b227 + 7392*b31*b228 + 2904*b31*b230 + 7524*b31*b231 + 8316*b31*
    b232 + 792*b31*b233 + 8184*b31*b235 + 5412*b31*b236 + 8184*b31*b237 + 3300*
    b31*b238 + 9900*b31*b239 + 10032*b31*b240 + 5280*b31*b241 + 8712*b31*b242
     + 7656*b31*b243 + 3960*b31*b244 + 4368*b31*b245 + 11928*b31*b246 + 5880*
    b31*b247 + 6888*b31*b248 + 15288*b31*b249 + 9408*b31*b250 + 3696*b31*b252
     + 9576*b31*b253 + 10584*b31*b254 + 1008*b31*b255 + 10416*b31*b257 + 6888*
    b31*b258 + 10416*b31*b259 + 4200*b31*b260 + 12600*b31*b261 + 12768*b31*b262
     + 6720*b31*b263 + 11088*b31*b264 + 9744*b31*b265 + 5040*b31*b266 + 4160*
    b31*b267 + 11360*b31*b268 + 5600*b31*b269 + 6560*b31*b270 + 14560*b31*b271
     + 8960*b31*b272 + 3520*b31*b274 + 9120*b31*b275 + 10080*b31*b276 + 960*b31
    *b277 + 9920*b31*b279 + 6560*b31*b280 + 9920*b31*b281 + 4000*b31*b282 + 
    12000*b31*b283 + 12160*b31*b284 + 6400*b31*b285 + 10560*b31*b286 + 9280*b31
    *b287 + 4800*b31*b288 + 52*b31*b289 + 142*b31*b290 + 70*b31*b291 + 82*b31*
    b292 + 182*b31*b293 + 112*b31*b294 + 44*b31*b296 + 114*b31*b297 + 126*b31*
    b298 + 12*b31*b299 + 124*b31*b301 + 82*b31*b302 + 124*b31*b303 + 50*b31*
    b304 + 150*b31*b305 + 152*b31*b306 + 80*b31*b307 + 132*b31*b308 + 116*b31*
    b309 + 60*b31*b310 + 2860*b31*b311 + 7810*b31*b312 + 3850*b31*b313 + 4510*
    b31*b314 + 10010*b31*b315 + 6160*b31*b316 + 2420*b31*b318 + 6270*b31*b319
     + 6930*b31*b320 + 660*b31*b321 + 6820*b31*b323 + 4510*b31*b324 + 6820*b31*
    b325 + 2750*b31*b326 + 8250*b31*b327 + 8360*b31*b328 + 4400*b31*b329 + 7260
    *b31*b330 + 6380*b31*b331 + 3300*b31*b332 + 468*b31*b333 + 1278*b31*b334 + 
    630*b31*b335 + 738*b31*b336 + 1638*b31*b337 + 1008*b31*b338 + 396*b31*b340
     + 1026*b31*b341 + 1134*b31*b342 + 108*b31*b343 + 1116*b31*b345 + 738*b31*
    b346 + 1116*b31*b347 + 450*b31*b348 + 1350*b31*b349 + 1368*b31*b350 + 720*
    b31*b351 + 1188*b31*b352 + 1044*b31*b353 + 540*b31*b354 + 1092*b31*b355 + 
    2982*b31*b356 + 1470*b31*b357 + 1722*b31*b358 + 3822*b31*b359 + 2352*b31*
    b360 + 924*b31*b362 + 2394*b31*b363 + 2646*b31*b364 + 252*b31*b365 + 2604*
    b31*b367 + 1722*b31*b368 + 2604*b31*b369 + 1050*b31*b370 + 3150*b31*b371 + 
    3192*b31*b372 + 1680*b31*b373 + 2772*b31*b374 + 2436*b31*b375 + 1260*b31*
    b376 + 624*b31*b377 + 1704*b31*b378 + 840*b31*b379 + 984*b31*b380 + 2184*
    b31*b381 + 1344*b31*b382 + 528*b31*b384 + 1368*b31*b385 + 1512*b31*b386 + 
    144*b31*b387 + 1488*b31*b389 + 984*b31*b390 + 1488*b31*b391 + 600*b31*b392
     + 1800*b31*b393 + 1824*b31*b394 + 960*b31*b395 + 1584*b31*b396 + 1392*b31*
    b397 + 720*b31*b398 + 3380*b31*b399 + 9230*b31*b400 + 4550*b31*b401 + 5330*
    b31*b402 + 11830*b31*b403 + 7280*b31*b404 + 2860*b31*b406 + 7410*b31*b407
     + 8190*b31*b408 + 780*b31*b409 + 8060*b31*b411 + 5330*b31*b412 + 8060*b31*
    b413 + 3250*b31*b414 + 9750*b31*b415 + 9880*b31*b416 + 5200*b31*b417 + 8580
    *b31*b418 + 7540*b31*b419 + 3900*b31*b420 + 364*b31*b421 + 994*b31*b422 + 
    490*b31*b423 + 574*b31*b424 + 1274*b31*b425 + 784*b31*b426 + 308*b31*b428
     + 798*b31*b429 + 882*b31*b430 + 84*b31*b431 + 868*b31*b433 + 574*b31*b434
     + 868*b31*b435 + 350*b31*b436 + 1050*b31*b437 + 1064*b31*b438 + 560*b31*
    b439 + 924*b31*b440 + 812*b31*b441 + 420*b31*b442 + 884*b31*b443 + 2414*b31
    *b444 + 1190*b31*b445 + 1394*b31*b446 + 3094*b31*b447 + 1904*b31*b448 + 748
    *b31*b450 + 1938*b31*b451 + 2142*b31*b452 + 204*b31*b453 + 2108*b31*b455 + 
    1394*b31*b456 + 2108*b31*b457 + 850*b31*b458 + 2550*b31*b459 + 2584*b31*
    b460 + 1360*b31*b461 + 2244*b31*b462 + 1972*b31*b463 + 1020*b31*b464 + 2652
    *b31*b465 + 7242*b31*b466 + 3570*b31*b467 + 4182*b31*b468 + 9282*b31*b469
     + 5712*b31*b470 + 2244*b31*b472 + 5814*b31*b473 + 6426*b31*b474 + 612*b31*
    b475 + 6324*b31*b477 + 4182*b31*b478 + 6324*b31*b479 + 2550*b31*b480 + 7650
    *b31*b481 + 7752*b31*b482 + 4080*b31*b483 + 6732*b31*b484 + 5916*b31*b485
     + 3060*b31*b486 + 4368*b31*b487 + 11928*b31*b488 + 5880*b31*b489 + 6888*
    b31*b490 + 15288*b31*b491 + 9408*b31*b492 + 3696*b31*b494 + 9576*b31*b495
     + 10584*b31*b496 + 1008*b31*b497 + 10416*b31*b499 + 6888*b31*b500 + 10416*
    b31*b501 + 4200*b31*b502 + 12600*b31*b503 + 12768*b31*b504 + 6720*b31*b505
     + 11088*b31*b506 + 9744*b31*b507 + 5040*b31*b508 + 4524*b31*b509 + 12354*
    b31*b510 + 6090*b31*b511 + 7134*b31*b512 + 15834*b31*b513 + 9744*b31*b514
     + 3828*b31*b516 + 9918*b31*b517 + 10962*b31*b518 + 1044*b31*b519 + 10788*
    b31*b521 + 7134*b31*b522 + 10788*b31*b523 + 4350*b31*b524 + 13050*b31*b525
     + 13224*b31*b526 + 6960*b31*b527 + 11484*b31*b528 + 10092*b31*b529 + 5220*
    b31*b530 + 4700*b31*b534 + 8648*b31*b535 + 12784*b31*b536 + 950*b31*b537 + 
    1748*b31*b538 + 2584*b31*b539 + 2700*b31*b540 + 4968*b31*b541 + 7344*b31*
    b542 + 1850*b31*b543 + 3404*b31*b544 + 5032*b31*b545 + 1000*b31*b549 + 1840
    *b31*b550 + 2720*b31*b551 + 600*b31*b552 + 1104*b31*b553 + 1632*b31*b554 + 
    550*b31*b555 + 1012*b31*b556 + 1496*b31*b557 + 3300*b31*b558 + 6072*b31*
    b559 + 8976*b31*b560 + 4200*b31*b561 + 7728*b31*b562 + 11424*b31*b563 + 
    4000*b31*b564 + 7360*b31*b565 + 10880*b31*b566 + 50*b31*b567 + 92*b31*b568
     + 136*b31*b569 + 2750*b31*b570 + 5060*b31*b571 + 7480*b31*b572 + 450*b31*
    b573 + 828*b31*b574 + 1224*b31*b575 + 1050*b31*b576 + 1932*b31*b577 + 2856*
    b31*b578 + 600*b31*b579 + 1104*b31*b580 + 1632*b31*b581 + 3250*b31*b582 + 
    5980*b31*b583 + 8840*b31*b584 + 350*b31*b585 + 644*b31*b586 + 952*b31*b587
     + 850*b31*b588 + 1564*b31*b589 + 2312*b31*b590 + 2550*b31*b591 + 4692*b31*
    b592 + 6936*b31*b593 + 4200*b31*b594 + 7728*b31*b595 + 11424*b31*b596 + 
    4350*b31*b597 + 8004*b31*b598 + 11832*b31*b599 + 9798*b31*b600 + 4830*b31*
    b601 + 5658*b31*b602 + 12558*b31*b603 + 7728*b31*b604 + 3036*b31*b606 + 
    7866*b31*b607 + 8694*b31*b608 + 828*b31*b609 + 8556*b31*b611 + 5658*b31*
    b612 + 8556*b31*b613 + 6348*b31*b614 + 3450*b31*b615 + 10350*b31*b616 + 
    10488*b31*b617 + 5520*b31*b618 + 9108*b31*b619 + 8004*b31*b620 + 4140*b31*
    b621 + 9384*b31*b622 + 3588*b31*b623 + 3950*b31*b624 + 7268*b31*b625 + 
    10744*b31*b626 + 12972*b32*b47 + 1504*b32*b48 + 2068*b32*b49 + 2820*b32*b50
     + 2444*b32*b51 + 376*b32*b52 + 4136*b32*b53 + 14664*b32*b55 + 17108*b32*
    b56 + 2444*b32*b57 + 11092*b32*b58 + 9212*b32*b59 + 15980*b32*b60 + 15792*
    b32*b61 + 7144*b32*b62 + 7708*b32*b63 + 10528*b32*b64 + 7332*b32*b65 + 9964
    *b32*b66 + 14476*b32*b67 + 9400*b32*b68 + 2622*b32*b69 + 304*b32*b70 + 418*
    b32*b71 + 570*b32*b72 + 494*b32*b73 + 76*b32*b74 + 836*b32*b75 + 2964*b32*
    b77 + 3458*b32*b78 + 494*b32*b79 + 2242*b32*b80 + 1862*b32*b81 + 3230*b32*
    b82 + 3192*b32*b83 + 1444*b32*b84 + 1558*b32*b85 + 2128*b32*b86 + 1482*b32*
    b87 + 2014*b32*b88 + 2926*b32*b89 + 1900*b32*b90 + 7452*b32*b91 + 864*b32*
    b92 + 1188*b32*b93 + 1620*b32*b94 + 1404*b32*b95 + 216*b32*b96 + 2376*b32*
    b97 + 8424*b32*b99 + 9828*b32*b100 + 1404*b32*b101 + 6372*b32*b102 + 5292*
    b32*b103 + 9180*b32*b104 + 9072*b32*b105 + 4104*b32*b106 + 4428*b32*b107 + 
    6048*b32*b108 + 4212*b32*b109 + 5724*b32*b110 + 8316*b32*b111 + 5400*b32*
    b112 + 5106*b32*b113 + 592*b32*b114 + 814*b32*b115 + 1110*b32*b116 + 962*
    b32*b117 + 148*b32*b118 + 1628*b32*b119 + 5772*b32*b121 + 6734*b32*b122 + 
    962*b32*b123 + 4366*b32*b124 + 3626*b32*b125 + 6290*b32*b126 + 6216*b32*
    b127 + 2812*b32*b128 + 3034*b32*b129 + 4144*b32*b130 + 2886*b32*b131 + 3922
    *b32*b132 + 5698*b32*b133 + 3700*b32*b134 + 2760*b32*b157 + 320*b32*b158 + 
    440*b32*b159 + 600*b32*b160 + 520*b32*b161 + 80*b32*b162 + 880*b32*b163 + 
    3120*b32*b165 + 3640*b32*b166 + 520*b32*b167 + 2360*b32*b168 + 1960*b32*
    b169 + 3400*b32*b170 + 3360*b32*b171 + 1520*b32*b172 + 1640*b32*b173 + 2240
    *b32*b174 + 1560*b32*b175 + 2120*b32*b176 + 3080*b32*b177 + 2000*b32*b178
     + 1656*b32*b179 + 192*b32*b180 + 264*b32*b181 + 360*b32*b182 + 312*b32*
    b183 + 48*b32*b184 + 528*b32*b185 + 1872*b32*b187 + 2184*b32*b188 + 312*b32
    *b189 + 1416*b32*b190 + 1176*b32*b191 + 2040*b32*b192 + 2016*b32*b193 + 912
    *b32*b194 + 984*b32*b195 + 1344*b32*b196 + 936*b32*b197 + 1272*b32*b198 + 
    1848*b32*b199 + 1200*b32*b200 + 1518*b32*b201 + 176*b32*b202 + 242*b32*b203
     + 330*b32*b204 + 286*b32*b205 + 44*b32*b206 + 484*b32*b207 + 1716*b32*b209
     + 2002*b32*b210 + 286*b32*b211 + 1298*b32*b212 + 1078*b32*b213 + 1870*b32*
    b214 + 1848*b32*b215 + 836*b32*b216 + 902*b32*b217 + 1232*b32*b218 + 858*
    b32*b219 + 1166*b32*b220 + 1694*b32*b221 + 1100*b32*b222 + 9108*b32*b223 + 
    1056*b32*b224 + 1452*b32*b225 + 1980*b32*b226 + 1716*b32*b227 + 264*b32*
    b228 + 2904*b32*b229 + 10296*b32*b231 + 12012*b32*b232 + 1716*b32*b233 + 
    7788*b32*b234 + 6468*b32*b235 + 11220*b32*b236 + 11088*b32*b237 + 5016*b32*
    b238 + 5412*b32*b239 + 7392*b32*b240 + 5148*b32*b241 + 6996*b32*b242 + 
    10164*b32*b243 + 6600*b32*b244 + 11592*b32*b245 + 1344*b32*b246 + 1848*b32*
    b247 + 2520*b32*b248 + 2184*b32*b249 + 336*b32*b250 + 3696*b32*b251 + 13104
    *b32*b253 + 15288*b32*b254 + 2184*b32*b255 + 9912*b32*b256 + 8232*b32*b257
     + 14280*b32*b258 + 14112*b32*b259 + 6384*b32*b260 + 6888*b32*b261 + 9408*
    b32*b262 + 6552*b32*b263 + 8904*b32*b264 + 12936*b32*b265 + 8400*b32*b266
     + 11040*b32*b267 + 1280*b32*b268 + 1760*b32*b269 + 2400*b32*b270 + 2080*
    b32*b271 + 320*b32*b272 + 3520*b32*b273 + 12480*b32*b275 + 14560*b32*b276
     + 2080*b32*b277 + 9440*b32*b278 + 7840*b32*b279 + 13600*b32*b280 + 13440*
    b32*b281 + 6080*b32*b282 + 6560*b32*b283 + 8960*b32*b284 + 6240*b32*b285 + 
    8480*b32*b286 + 12320*b32*b287 + 8000*b32*b288 + 138*b32*b289 + 16*b32*b290
     + 22*b32*b291 + 30*b32*b292 + 26*b32*b293 + 4*b32*b294 + 44*b32*b295 + 156
    *b32*b297 + 182*b32*b298 + 26*b32*b299 + 118*b32*b300 + 98*b32*b301 + 170*
    b32*b302 + 168*b32*b303 + 76*b32*b304 + 82*b32*b305 + 112*b32*b306 + 78*b32
    *b307 + 106*b32*b308 + 154*b32*b309 + 100*b32*b310 + 7590*b32*b311 + 880*
    b32*b312 + 1210*b32*b313 + 1650*b32*b314 + 1430*b32*b315 + 220*b32*b316 + 
    2420*b32*b317 + 8580*b32*b319 + 10010*b32*b320 + 1430*b32*b321 + 6490*b32*
    b322 + 5390*b32*b323 + 9350*b32*b324 + 9240*b32*b325 + 4180*b32*b326 + 4510
    *b32*b327 + 6160*b32*b328 + 4290*b32*b329 + 5830*b32*b330 + 8470*b32*b331
     + 5500*b32*b332 + 1242*b32*b333 + 144*b32*b334 + 198*b32*b335 + 270*b32*
    b336 + 234*b32*b337 + 36*b32*b338 + 396*b32*b339 + 1404*b32*b341 + 1638*b32
    *b342 + 234*b32*b343 + 1062*b32*b344 + 882*b32*b345 + 1530*b32*b346 + 1512*
    b32*b347 + 684*b32*b348 + 738*b32*b349 + 1008*b32*b350 + 702*b32*b351 + 954
    *b32*b352 + 1386*b32*b353 + 900*b32*b354 + 2898*b32*b355 + 336*b32*b356 + 
    462*b32*b357 + 630*b32*b358 + 546*b32*b359 + 84*b32*b360 + 924*b32*b361 + 
    3276*b32*b363 + 3822*b32*b364 + 546*b32*b365 + 2478*b32*b366 + 2058*b32*
    b367 + 3570*b32*b368 + 3528*b32*b369 + 1596*b32*b370 + 1722*b32*b371 + 2352
    *b32*b372 + 1638*b32*b373 + 2226*b32*b374 + 3234*b32*b375 + 2100*b32*b376
     + 1656*b32*b377 + 192*b32*b378 + 264*b32*b379 + 360*b32*b380 + 312*b32*
    b381 + 48*b32*b382 + 528*b32*b383 + 1872*b32*b385 + 2184*b32*b386 + 312*b32
    *b387 + 1416*b32*b388 + 1176*b32*b389 + 2040*b32*b390 + 2016*b32*b391 + 912
    *b32*b392 + 984*b32*b393 + 1344*b32*b394 + 936*b32*b395 + 1272*b32*b396 + 
    1848*b32*b397 + 1200*b32*b398 + 8970*b32*b399 + 1040*b32*b400 + 1430*b32*
    b401 + 1950*b32*b402 + 1690*b32*b403 + 260*b32*b404 + 2860*b32*b405 + 10140
    *b32*b407 + 11830*b32*b408 + 1690*b32*b409 + 7670*b32*b410 + 6370*b32*b411
     + 11050*b32*b412 + 10920*b32*b413 + 4940*b32*b414 + 5330*b32*b415 + 7280*
    b32*b416 + 5070*b32*b417 + 6890*b32*b418 + 10010*b32*b419 + 6500*b32*b420
     + 966*b32*b421 + 112*b32*b422 + 154*b32*b423 + 210*b32*b424 + 182*b32*b425
     + 28*b32*b426 + 308*b32*b427 + 1092*b32*b429 + 1274*b32*b430 + 182*b32*
    b431 + 826*b32*b432 + 686*b32*b433 + 1190*b32*b434 + 1176*b32*b435 + 532*
    b32*b436 + 574*b32*b437 + 784*b32*b438 + 546*b32*b439 + 742*b32*b440 + 1078
    *b32*b441 + 700*b32*b442 + 2346*b32*b443 + 272*b32*b444 + 374*b32*b445 + 
    510*b32*b446 + 442*b32*b447 + 68*b32*b448 + 748*b32*b449 + 2652*b32*b451 + 
    3094*b32*b452 + 442*b32*b453 + 2006*b32*b454 + 1666*b32*b455 + 2890*b32*
    b456 + 2856*b32*b457 + 1292*b32*b458 + 1394*b32*b459 + 1904*b32*b460 + 1326
    *b32*b461 + 1802*b32*b462 + 2618*b32*b463 + 1700*b32*b464 + 7038*b32*b465
     + 816*b32*b466 + 1122*b32*b467 + 1530*b32*b468 + 1326*b32*b469 + 204*b32*
    b470 + 2244*b32*b471 + 7956*b32*b473 + 9282*b32*b474 + 1326*b32*b475 + 6018
    *b32*b476 + 4998*b32*b477 + 8670*b32*b478 + 8568*b32*b479 + 3876*b32*b480
     + 4182*b32*b481 + 5712*b32*b482 + 3978*b32*b483 + 5406*b32*b484 + 7854*b32
    *b485 + 5100*b32*b486 + 11592*b32*b487 + 1344*b32*b488 + 1848*b32*b489 + 
    2520*b32*b490 + 2184*b32*b491 + 336*b32*b492 + 3696*b32*b493 + 13104*b32*
    b495 + 15288*b32*b496 + 2184*b32*b497 + 9912*b32*b498 + 8232*b32*b499 + 
    14280*b32*b500 + 14112*b32*b501 + 6384*b32*b502 + 6888*b32*b503 + 9408*b32*
    b504 + 6552*b32*b505 + 8904*b32*b506 + 12936*b32*b507 + 8400*b32*b508 + 
    12006*b32*b509 + 1392*b32*b510 + 1914*b32*b511 + 2610*b32*b512 + 2262*b32*
    b513 + 348*b32*b514 + 3828*b32*b515 + 13572*b32*b517 + 15834*b32*b518 + 
    2262*b32*b519 + 10266*b32*b520 + 8526*b32*b521 + 14790*b32*b522 + 14616*b32
    *b523 + 6612*b32*b524 + 7134*b32*b525 + 9744*b32*b526 + 6786*b32*b527 + 
    9222*b32*b528 + 13398*b32*b529 + 8700*b32*b530 + 1880*b32*b534 + 1504*b32*
    b535 + 5640*b32*b536 + 380*b32*b537 + 304*b32*b538 + 1140*b32*b539 + 1080*
    b32*b540 + 864*b32*b541 + 3240*b32*b542 + 740*b32*b543 + 592*b32*b544 + 
    2220*b32*b545 + 400*b32*b549 + 320*b32*b550 + 1200*b32*b551 + 240*b32*b552
     + 192*b32*b553 + 720*b32*b554 + 220*b32*b555 + 176*b32*b556 + 660*b32*b557
     + 1320*b32*b558 + 1056*b32*b559 + 3960*b32*b560 + 1680*b32*b561 + 1344*b32
    *b562 + 5040*b32*b563 + 1600*b32*b564 + 1280*b32*b565 + 4800*b32*b566 + 20*
    b32*b567 + 16*b32*b568 + 60*b32*b569 + 1100*b32*b570 + 880*b32*b571 + 3300*
    b32*b572 + 180*b32*b573 + 144*b32*b574 + 540*b32*b575 + 420*b32*b576 + 336*
    b32*b577 + 1260*b32*b578 + 240*b32*b579 + 192*b32*b580 + 720*b32*b581 + 
    1300*b32*b582 + 1040*b32*b583 + 3900*b32*b584 + 140*b32*b585 + 112*b32*b586
     + 420*b32*b587 + 340*b32*b588 + 272*b32*b589 + 1020*b32*b590 + 1020*b32*
    b591 + 816*b32*b592 + 3060*b32*b593 + 1680*b32*b594 + 1344*b32*b595 + 5040*
    b32*b596 + 1740*b32*b597 + 1392*b32*b598 + 5220*b32*b599 + 1104*b32*b600 + 
    1518*b32*b601 + 2070*b32*b602 + 1794*b32*b603 + 276*b32*b604 + 3036*b32*
    b605 + 10764*b32*b607 + 12558*b32*b608 + 1794*b32*b609 + 8142*b32*b610 + 
    6762*b32*b611 + 11730*b32*b612 + 11592*b32*b613 + 1104*b32*b614 + 5244*b32*
    b615 + 5658*b32*b616 + 7728*b32*b617 + 5382*b32*b618 + 7314*b32*b619 + 
    10626*b32*b620 + 6900*b32*b621 + 4140*b32*b622 + 9522*b32*b623 + 1580*b32*
    b624 + 1264*b32*b625 + 4740*b32*b626 + 10528*b33*b47 + 14476*b33*b48 + 3760
    *b33*b49 + 15604*b33*b50 + 5452*b33*b51 + 11280*b33*b52 + 10716*b33*b53 + 
    14664*b33*b54 + 10904*b33*b56 + 10340*b33*b57 + 3572*b33*b58 + 15980*b33*
    b59 + 9776*b33*b60 + 6392*b33*b61 + 7520*b33*b62 + 12972*b33*b63 + 2256*b33
    *b64 + 15980*b33*b65 + 13536*b33*b66 + 1316*b33*b67 + 9212*b33*b68 + 2128*
    b33*b69 + 2926*b33*b70 + 760*b33*b71 + 3154*b33*b72 + 1102*b33*b73 + 2280*
    b33*b74 + 2166*b33*b75 + 2964*b33*b76 + 2204*b33*b78 + 2090*b33*b79 + 722*
    b33*b80 + 3230*b33*b81 + 1976*b33*b82 + 1292*b33*b83 + 1520*b33*b84 + 2622*
    b33*b85 + 456*b33*b86 + 3230*b33*b87 + 2736*b33*b88 + 266*b33*b89 + 1862*
    b33*b90 + 6048*b33*b91 + 8316*b33*b92 + 2160*b33*b93 + 8964*b33*b94 + 3132*
    b33*b95 + 6480*b33*b96 + 6156*b33*b97 + 8424*b33*b98 + 6264*b33*b100 + 5940
    *b33*b101 + 2052*b33*b102 + 9180*b33*b103 + 5616*b33*b104 + 3672*b33*b105
     + 4320*b33*b106 + 7452*b33*b107 + 1296*b33*b108 + 9180*b33*b109 + 7776*b33
    *b110 + 756*b33*b111 + 5292*b33*b112 + 4144*b33*b113 + 5698*b33*b114 + 1480
    *b33*b115 + 6142*b33*b116 + 2146*b33*b117 + 4440*b33*b118 + 4218*b33*b119
     + 5772*b33*b120 + 4292*b33*b122 + 4070*b33*b123 + 1406*b33*b124 + 6290*b33
    *b125 + 3848*b33*b126 + 2516*b33*b127 + 2960*b33*b128 + 5106*b33*b129 + 888
    *b33*b130 + 6290*b33*b131 + 5328*b33*b132 + 518*b33*b133 + 3626*b33*b134 + 
    2240*b33*b157 + 3080*b33*b158 + 800*b33*b159 + 3320*b33*b160 + 1160*b33*
    b161 + 2400*b33*b162 + 2280*b33*b163 + 3120*b33*b164 + 2320*b33*b166 + 2200
    *b33*b167 + 760*b33*b168 + 3400*b33*b169 + 2080*b33*b170 + 1360*b33*b171 + 
    1600*b33*b172 + 2760*b33*b173 + 480*b33*b174 + 3400*b33*b175 + 2880*b33*
    b176 + 280*b33*b177 + 1960*b33*b178 + 1344*b33*b179 + 1848*b33*b180 + 480*
    b33*b181 + 1992*b33*b182 + 696*b33*b183 + 1440*b33*b184 + 1368*b33*b185 + 
    1872*b33*b186 + 1392*b33*b188 + 1320*b33*b189 + 456*b33*b190 + 2040*b33*
    b191 + 1248*b33*b192 + 816*b33*b193 + 960*b33*b194 + 1656*b33*b195 + 288*
    b33*b196 + 2040*b33*b197 + 1728*b33*b198 + 168*b33*b199 + 1176*b33*b200 + 
    1232*b33*b201 + 1694*b33*b202 + 440*b33*b203 + 1826*b33*b204 + 638*b33*b205
     + 1320*b33*b206 + 1254*b33*b207 + 1716*b33*b208 + 1276*b33*b210 + 1210*b33
    *b211 + 418*b33*b212 + 1870*b33*b213 + 1144*b33*b214 + 748*b33*b215 + 880*
    b33*b216 + 1518*b33*b217 + 264*b33*b218 + 1870*b33*b219 + 1584*b33*b220 + 
    154*b33*b221 + 1078*b33*b222 + 7392*b33*b223 + 10164*b33*b224 + 2640*b33*
    b225 + 10956*b33*b226 + 3828*b33*b227 + 7920*b33*b228 + 7524*b33*b229 + 
    10296*b33*b230 + 7656*b33*b232 + 7260*b33*b233 + 2508*b33*b234 + 11220*b33*
    b235 + 6864*b33*b236 + 4488*b33*b237 + 5280*b33*b238 + 9108*b33*b239 + 1584
    *b33*b240 + 11220*b33*b241 + 9504*b33*b242 + 924*b33*b243 + 6468*b33*b244
     + 9408*b33*b245 + 12936*b33*b246 + 3360*b33*b247 + 13944*b33*b248 + 4872*
    b33*b249 + 10080*b33*b250 + 9576*b33*b251 + 13104*b33*b252 + 9744*b33*b254
     + 9240*b33*b255 + 3192*b33*b256 + 14280*b33*b257 + 8736*b33*b258 + 5712*
    b33*b259 + 6720*b33*b260 + 11592*b33*b261 + 2016*b33*b262 + 14280*b33*b263
     + 12096*b33*b264 + 1176*b33*b265 + 8232*b33*b266 + 8960*b33*b267 + 12320*
    b33*b268 + 3200*b33*b269 + 13280*b33*b270 + 4640*b33*b271 + 9600*b33*b272
     + 9120*b33*b273 + 12480*b33*b274 + 9280*b33*b276 + 8800*b33*b277 + 3040*
    b33*b278 + 13600*b33*b279 + 8320*b33*b280 + 5440*b33*b281 + 6400*b33*b282
     + 11040*b33*b283 + 1920*b33*b284 + 13600*b33*b285 + 11520*b33*b286 + 1120*
    b33*b287 + 7840*b33*b288 + 112*b33*b289 + 154*b33*b290 + 40*b33*b291 + 166*
    b33*b292 + 58*b33*b293 + 120*b33*b294 + 114*b33*b295 + 156*b33*b296 + 116*
    b33*b298 + 110*b33*b299 + 38*b33*b300 + 170*b33*b301 + 104*b33*b302 + 68*
    b33*b303 + 80*b33*b304 + 138*b33*b305 + 24*b33*b306 + 170*b33*b307 + 144*
    b33*b308 + 14*b33*b309 + 98*b33*b310 + 6160*b33*b311 + 8470*b33*b312 + 2200
    *b33*b313 + 9130*b33*b314 + 3190*b33*b315 + 6600*b33*b316 + 6270*b33*b317
     + 8580*b33*b318 + 6380*b33*b320 + 6050*b33*b321 + 2090*b33*b322 + 9350*b33
    *b323 + 5720*b33*b324 + 3740*b33*b325 + 4400*b33*b326 + 7590*b33*b327 + 
    1320*b33*b328 + 9350*b33*b329 + 7920*b33*b330 + 770*b33*b331 + 5390*b33*
    b332 + 1008*b33*b333 + 1386*b33*b334 + 360*b33*b335 + 1494*b33*b336 + 522*
    b33*b337 + 1080*b33*b338 + 1026*b33*b339 + 1404*b33*b340 + 1044*b33*b342 + 
    990*b33*b343 + 342*b33*b344 + 1530*b33*b345 + 936*b33*b346 + 612*b33*b347
     + 720*b33*b348 + 1242*b33*b349 + 216*b33*b350 + 1530*b33*b351 + 1296*b33*
    b352 + 126*b33*b353 + 882*b33*b354 + 2352*b33*b355 + 3234*b33*b356 + 840*
    b33*b357 + 3486*b33*b358 + 1218*b33*b359 + 2520*b33*b360 + 2394*b33*b361 + 
    3276*b33*b362 + 2436*b33*b364 + 2310*b33*b365 + 798*b33*b366 + 3570*b33*
    b367 + 2184*b33*b368 + 1428*b33*b369 + 1680*b33*b370 + 2898*b33*b371 + 504*
    b33*b372 + 3570*b33*b373 + 3024*b33*b374 + 294*b33*b375 + 2058*b33*b376 + 
    1344*b33*b377 + 1848*b33*b378 + 480*b33*b379 + 1992*b33*b380 + 696*b33*b381
     + 1440*b33*b382 + 1368*b33*b383 + 1872*b33*b384 + 1392*b33*b386 + 1320*b33
    *b387 + 456*b33*b388 + 2040*b33*b389 + 1248*b33*b390 + 816*b33*b391 + 960*
    b33*b392 + 1656*b33*b393 + 288*b33*b394 + 2040*b33*b395 + 1728*b33*b396 + 
    168*b33*b397 + 1176*b33*b398 + 7280*b33*b399 + 10010*b33*b400 + 2600*b33*
    b401 + 10790*b33*b402 + 3770*b33*b403 + 7800*b33*b404 + 7410*b33*b405 + 
    10140*b33*b406 + 7540*b33*b408 + 7150*b33*b409 + 2470*b33*b410 + 11050*b33*
    b411 + 6760*b33*b412 + 4420*b33*b413 + 5200*b33*b414 + 8970*b33*b415 + 1560
    *b33*b416 + 11050*b33*b417 + 9360*b33*b418 + 910*b33*b419 + 6370*b33*b420
     + 784*b33*b421 + 1078*b33*b422 + 280*b33*b423 + 1162*b33*b424 + 406*b33*
    b425 + 840*b33*b426 + 798*b33*b427 + 1092*b33*b428 + 812*b33*b430 + 770*b33
    *b431 + 266*b33*b432 + 1190*b33*b433 + 728*b33*b434 + 476*b33*b435 + 560*
    b33*b436 + 966*b33*b437 + 168*b33*b438 + 1190*b33*b439 + 1008*b33*b440 + 98
    *b33*b441 + 686*b33*b442 + 1904*b33*b443 + 2618*b33*b444 + 680*b33*b445 + 
    2822*b33*b446 + 986*b33*b447 + 2040*b33*b448 + 1938*b33*b449 + 2652*b33*
    b450 + 1972*b33*b452 + 1870*b33*b453 + 646*b33*b454 + 2890*b33*b455 + 1768*
    b33*b456 + 1156*b33*b457 + 1360*b33*b458 + 2346*b33*b459 + 408*b33*b460 + 
    2890*b33*b461 + 2448*b33*b462 + 238*b33*b463 + 1666*b33*b464 + 5712*b33*
    b465 + 7854*b33*b466 + 2040*b33*b467 + 8466*b33*b468 + 2958*b33*b469 + 6120
    *b33*b470 + 5814*b33*b471 + 7956*b33*b472 + 5916*b33*b474 + 5610*b33*b475
     + 1938*b33*b476 + 8670*b33*b477 + 5304*b33*b478 + 3468*b33*b479 + 4080*b33
    *b480 + 7038*b33*b481 + 1224*b33*b482 + 8670*b33*b483 + 7344*b33*b484 + 714
    *b33*b485 + 4998*b33*b486 + 9408*b33*b487 + 12936*b33*b488 + 3360*b33*b489
     + 13944*b33*b490 + 4872*b33*b491 + 10080*b33*b492 + 9576*b33*b493 + 13104*
    b33*b494 + 9744*b33*b496 + 9240*b33*b497 + 3192*b33*b498 + 14280*b33*b499
     + 8736*b33*b500 + 5712*b33*b501 + 6720*b33*b502 + 11592*b33*b503 + 2016*
    b33*b504 + 14280*b33*b505 + 12096*b33*b506 + 1176*b33*b507 + 8232*b33*b508
     + 9744*b33*b509 + 13398*b33*b510 + 3480*b33*b511 + 14442*b33*b512 + 5046*
    b33*b513 + 10440*b33*b514 + 9918*b33*b515 + 13572*b33*b516 + 10092*b33*b518
     + 9570*b33*b519 + 3306*b33*b520 + 14790*b33*b521 + 9048*b33*b522 + 5916*
    b33*b523 + 6960*b33*b524 + 12006*b33*b525 + 2088*b33*b526 + 14790*b33*b527
     + 12528*b33*b528 + 1218*b33*b529 + 8526*b33*b530 + 752*b33*b534 + 9964*b33
    *b535 + 8648*b33*b536 + 152*b33*b537 + 2014*b33*b538 + 1748*b33*b539 + 432*
    b33*b540 + 5724*b33*b541 + 4968*b33*b542 + 296*b33*b543 + 3922*b33*b544 + 
    3404*b33*b545 + 160*b33*b549 + 2120*b33*b550 + 1840*b33*b551 + 96*b33*b552
     + 1272*b33*b553 + 1104*b33*b554 + 88*b33*b555 + 1166*b33*b556 + 1012*b33*
    b557 + 528*b33*b558 + 6996*b33*b559 + 6072*b33*b560 + 672*b33*b561 + 8904*
    b33*b562 + 7728*b33*b563 + 640*b33*b564 + 8480*b33*b565 + 7360*b33*b566 + 8
    *b33*b567 + 106*b33*b568 + 92*b33*b569 + 440*b33*b570 + 5830*b33*b571 + 
    5060*b33*b572 + 72*b33*b573 + 954*b33*b574 + 828*b33*b575 + 168*b33*b576 + 
    2226*b33*b577 + 1932*b33*b578 + 96*b33*b579 + 1272*b33*b580 + 1104*b33*b581
     + 520*b33*b582 + 6890*b33*b583 + 5980*b33*b584 + 56*b33*b585 + 742*b33*
    b586 + 644*b33*b587 + 136*b33*b588 + 1802*b33*b589 + 1564*b33*b590 + 408*
    b33*b591 + 5406*b33*b592 + 4692*b33*b593 + 672*b33*b594 + 8904*b33*b595 + 
    7728*b33*b596 + 696*b33*b597 + 9222*b33*b598 + 8004*b33*b599 + 10626*b33*
    b600 + 2760*b33*b601 + 11454*b33*b602 + 4002*b33*b603 + 8280*b33*b604 + 
    7866*b33*b605 + 10764*b33*b606 + 8004*b33*b608 + 7590*b33*b609 + 2622*b33*
    b610 + 11730*b33*b611 + 7176*b33*b612 + 4692*b33*b613 + 7314*b33*b614 + 
    5520*b33*b615 + 9522*b33*b616 + 1656*b33*b617 + 11730*b33*b618 + 9936*b33*
    b619 + 966*b33*b620 + 6762*b33*b621 + 6348*b33*b622 + 7728*b33*b623 + 632*
    b33*b624 + 8374*b33*b625 + 7268*b33*b626 + 16168*b34*b47 + 13912*b34*b48 + 
    3948*b34*b49 + 18048*b34*b50 + 2068*b34*b51 + 13536*b34*b52 + 11844*b34*b53
     + 17108*b34*b54 + 10904*b34*b55 + 16356*b34*b57 + 10904*b34*b58 + 3196*b34
    *b59 + 12784*b34*b60 + 5076*b34*b61 + 1128*b34*b62 + 12596*b34*b63 + 4888*
    b34*b64 + 15416*b34*b65 + 8272*b34*b66 + 6580*b34*b67 + 564*b34*b68 + 3268*
    b34*b69 + 2812*b34*b70 + 798*b34*b71 + 3648*b34*b72 + 418*b34*b73 + 2736*
    b34*b74 + 2394*b34*b75 + 3458*b34*b76 + 2204*b34*b77 + 3306*b34*b79 + 2204*
    b34*b80 + 646*b34*b81 + 2584*b34*b82 + 1026*b34*b83 + 228*b34*b84 + 2546*
    b34*b85 + 988*b34*b86 + 3116*b34*b87 + 1672*b34*b88 + 1330*b34*b89 + 114*
    b34*b90 + 9288*b34*b91 + 7992*b34*b92 + 2268*b34*b93 + 10368*b34*b94 + 1188
    *b34*b95 + 7776*b34*b96 + 6804*b34*b97 + 9828*b34*b98 + 6264*b34*b99 + 9396
    *b34*b101 + 6264*b34*b102 + 1836*b34*b103 + 7344*b34*b104 + 2916*b34*b105
     + 648*b34*b106 + 7236*b34*b107 + 2808*b34*b108 + 8856*b34*b109 + 4752*b34*
    b110 + 3780*b34*b111 + 324*b34*b112 + 6364*b34*b113 + 5476*b34*b114 + 1554*
    b34*b115 + 7104*b34*b116 + 814*b34*b117 + 5328*b34*b118 + 4662*b34*b119 + 
    6734*b34*b120 + 4292*b34*b121 + 6438*b34*b123 + 4292*b34*b124 + 1258*b34*
    b125 + 5032*b34*b126 + 1998*b34*b127 + 444*b34*b128 + 4958*b34*b129 + 1924*
    b34*b130 + 6068*b34*b131 + 3256*b34*b132 + 2590*b34*b133 + 222*b34*b134 + 
    3440*b34*b157 + 2960*b34*b158 + 840*b34*b159 + 3840*b34*b160 + 440*b34*b161
     + 2880*b34*b162 + 2520*b34*b163 + 3640*b34*b164 + 2320*b34*b165 + 3480*b34
    *b167 + 2320*b34*b168 + 680*b34*b169 + 2720*b34*b170 + 1080*b34*b171 + 240*
    b34*b172 + 2680*b34*b173 + 1040*b34*b174 + 3280*b34*b175 + 1760*b34*b176 + 
    1400*b34*b177 + 120*b34*b178 + 2064*b34*b179 + 1776*b34*b180 + 504*b34*b181
     + 2304*b34*b182 + 264*b34*b183 + 1728*b34*b184 + 1512*b34*b185 + 2184*b34*
    b186 + 1392*b34*b187 + 2088*b34*b189 + 1392*b34*b190 + 408*b34*b191 + 1632*
    b34*b192 + 648*b34*b193 + 144*b34*b194 + 1608*b34*b195 + 624*b34*b196 + 
    1968*b34*b197 + 1056*b34*b198 + 840*b34*b199 + 72*b34*b200 + 1892*b34*b201
     + 1628*b34*b202 + 462*b34*b203 + 2112*b34*b204 + 242*b34*b205 + 1584*b34*
    b206 + 1386*b34*b207 + 2002*b34*b208 + 1276*b34*b209 + 1914*b34*b211 + 1276
    *b34*b212 + 374*b34*b213 + 1496*b34*b214 + 594*b34*b215 + 132*b34*b216 + 
    1474*b34*b217 + 572*b34*b218 + 1804*b34*b219 + 968*b34*b220 + 770*b34*b221
     + 66*b34*b222 + 11352*b34*b223 + 9768*b34*b224 + 2772*b34*b225 + 12672*b34
    *b226 + 1452*b34*b227 + 9504*b34*b228 + 8316*b34*b229 + 12012*b34*b230 + 
    7656*b34*b231 + 11484*b34*b233 + 7656*b34*b234 + 2244*b34*b235 + 8976*b34*
    b236 + 3564*b34*b237 + 792*b34*b238 + 8844*b34*b239 + 3432*b34*b240 + 10824
    *b34*b241 + 5808*b34*b242 + 4620*b34*b243 + 396*b34*b244 + 14448*b34*b245
     + 12432*b34*b246 + 3528*b34*b247 + 16128*b34*b248 + 1848*b34*b249 + 12096*
    b34*b250 + 10584*b34*b251 + 15288*b34*b252 + 9744*b34*b253 + 14616*b34*b255
     + 9744*b34*b256 + 2856*b34*b257 + 11424*b34*b258 + 4536*b34*b259 + 1008*
    b34*b260 + 11256*b34*b261 + 4368*b34*b262 + 13776*b34*b263 + 7392*b34*b264
     + 5880*b34*b265 + 504*b34*b266 + 13760*b34*b267 + 11840*b34*b268 + 3360*
    b34*b269 + 15360*b34*b270 + 1760*b34*b271 + 11520*b34*b272 + 10080*b34*b273
     + 14560*b34*b274 + 9280*b34*b275 + 13920*b34*b277 + 9280*b34*b278 + 2720*
    b34*b279 + 10880*b34*b280 + 4320*b34*b281 + 960*b34*b282 + 10720*b34*b283
     + 4160*b34*b284 + 13120*b34*b285 + 7040*b34*b286 + 5600*b34*b287 + 480*b34
    *b288 + 172*b34*b289 + 148*b34*b290 + 42*b34*b291 + 192*b34*b292 + 22*b34*
    b293 + 144*b34*b294 + 126*b34*b295 + 182*b34*b296 + 116*b34*b297 + 174*b34*
    b299 + 116*b34*b300 + 34*b34*b301 + 136*b34*b302 + 54*b34*b303 + 12*b34*
    b304 + 134*b34*b305 + 52*b34*b306 + 164*b34*b307 + 88*b34*b308 + 70*b34*
    b309 + 6*b34*b310 + 9460*b34*b311 + 8140*b34*b312 + 2310*b34*b313 + 10560*
    b34*b314 + 1210*b34*b315 + 7920*b34*b316 + 6930*b34*b317 + 10010*b34*b318
     + 6380*b34*b319 + 9570*b34*b321 + 6380*b34*b322 + 1870*b34*b323 + 7480*b34
    *b324 + 2970*b34*b325 + 660*b34*b326 + 7370*b34*b327 + 2860*b34*b328 + 9020
    *b34*b329 + 4840*b34*b330 + 3850*b34*b331 + 330*b34*b332 + 1548*b34*b333 + 
    1332*b34*b334 + 378*b34*b335 + 1728*b34*b336 + 198*b34*b337 + 1296*b34*b338
     + 1134*b34*b339 + 1638*b34*b340 + 1044*b34*b341 + 1566*b34*b343 + 1044*b34
    *b344 + 306*b34*b345 + 1224*b34*b346 + 486*b34*b347 + 108*b34*b348 + 1206*
    b34*b349 + 468*b34*b350 + 1476*b34*b351 + 792*b34*b352 + 630*b34*b353 + 54*
    b34*b354 + 3612*b34*b355 + 3108*b34*b356 + 882*b34*b357 + 4032*b34*b358 + 
    462*b34*b359 + 3024*b34*b360 + 2646*b34*b361 + 3822*b34*b362 + 2436*b34*
    b363 + 3654*b34*b365 + 2436*b34*b366 + 714*b34*b367 + 2856*b34*b368 + 1134*
    b34*b369 + 252*b34*b370 + 2814*b34*b371 + 1092*b34*b372 + 3444*b34*b373 + 
    1848*b34*b374 + 1470*b34*b375 + 126*b34*b376 + 2064*b34*b377 + 1776*b34*
    b378 + 504*b34*b379 + 2304*b34*b380 + 264*b34*b381 + 1728*b34*b382 + 1512*
    b34*b383 + 2184*b34*b384 + 1392*b34*b385 + 2088*b34*b387 + 1392*b34*b388 + 
    408*b34*b389 + 1632*b34*b390 + 648*b34*b391 + 144*b34*b392 + 1608*b34*b393
     + 624*b34*b394 + 1968*b34*b395 + 1056*b34*b396 + 840*b34*b397 + 72*b34*
    b398 + 11180*b34*b399 + 9620*b34*b400 + 2730*b34*b401 + 12480*b34*b402 + 
    1430*b34*b403 + 9360*b34*b404 + 8190*b34*b405 + 11830*b34*b406 + 7540*b34*
    b407 + 11310*b34*b409 + 7540*b34*b410 + 2210*b34*b411 + 8840*b34*b412 + 
    3510*b34*b413 + 780*b34*b414 + 8710*b34*b415 + 3380*b34*b416 + 10660*b34*
    b417 + 5720*b34*b418 + 4550*b34*b419 + 390*b34*b420 + 1204*b34*b421 + 1036*
    b34*b422 + 294*b34*b423 + 1344*b34*b424 + 154*b34*b425 + 1008*b34*b426 + 
    882*b34*b427 + 1274*b34*b428 + 812*b34*b429 + 1218*b34*b431 + 812*b34*b432
     + 238*b34*b433 + 952*b34*b434 + 378*b34*b435 + 84*b34*b436 + 938*b34*b437
     + 364*b34*b438 + 1148*b34*b439 + 616*b34*b440 + 490*b34*b441 + 42*b34*b442
     + 2924*b34*b443 + 2516*b34*b444 + 714*b34*b445 + 3264*b34*b446 + 374*b34*
    b447 + 2448*b34*b448 + 2142*b34*b449 + 3094*b34*b450 + 1972*b34*b451 + 2958
    *b34*b453 + 1972*b34*b454 + 578*b34*b455 + 2312*b34*b456 + 918*b34*b457 + 
    204*b34*b458 + 2278*b34*b459 + 884*b34*b460 + 2788*b34*b461 + 1496*b34*b462
     + 1190*b34*b463 + 102*b34*b464 + 8772*b34*b465 + 7548*b34*b466 + 2142*b34*
    b467 + 9792*b34*b468 + 1122*b34*b469 + 7344*b34*b470 + 6426*b34*b471 + 9282
    *b34*b472 + 5916*b34*b473 + 8874*b34*b475 + 5916*b34*b476 + 1734*b34*b477
     + 6936*b34*b478 + 2754*b34*b479 + 612*b34*b480 + 6834*b34*b481 + 2652*b34*
    b482 + 8364*b34*b483 + 4488*b34*b484 + 3570*b34*b485 + 306*b34*b486 + 14448
    *b34*b487 + 12432*b34*b488 + 3528*b34*b489 + 16128*b34*b490 + 1848*b34*b491
     + 12096*b34*b492 + 10584*b34*b493 + 15288*b34*b494 + 9744*b34*b495 + 14616
    *b34*b497 + 9744*b34*b498 + 2856*b34*b499 + 11424*b34*b500 + 4536*b34*b501
     + 1008*b34*b502 + 11256*b34*b503 + 4368*b34*b504 + 13776*b34*b505 + 7392*
    b34*b506 + 5880*b34*b507 + 504*b34*b508 + 14964*b34*b509 + 12876*b34*b510
     + 3654*b34*b511 + 16704*b34*b512 + 1914*b34*b513 + 12528*b34*b514 + 10962*
    b34*b515 + 15834*b34*b516 + 10092*b34*b517 + 15138*b34*b519 + 10092*b34*
    b520 + 2958*b34*b521 + 11832*b34*b522 + 4698*b34*b523 + 1044*b34*b524 + 
    11658*b34*b525 + 4524*b34*b526 + 14268*b34*b527 + 7656*b34*b528 + 6090*b34*
    b529 + 522*b34*b530 + 11844*b34*b534 + 3948*b34*b535 + 11656*b34*b536 + 
    2394*b34*b537 + 798*b34*b538 + 2356*b34*b539 + 6804*b34*b540 + 2268*b34*
    b541 + 6696*b34*b542 + 4662*b34*b543 + 1554*b34*b544 + 4588*b34*b545 + 2520
    *b34*b549 + 840*b34*b550 + 2480*b34*b551 + 1512*b34*b552 + 504*b34*b553 + 
    1488*b34*b554 + 1386*b34*b555 + 462*b34*b556 + 1364*b34*b557 + 8316*b34*
    b558 + 2772*b34*b559 + 8184*b34*b560 + 10584*b34*b561 + 3528*b34*b562 + 
    10416*b34*b563 + 10080*b34*b564 + 3360*b34*b565 + 9920*b34*b566 + 126*b34*
    b567 + 42*b34*b568 + 124*b34*b569 + 6930*b34*b570 + 2310*b34*b571 + 6820*
    b34*b572 + 1134*b34*b573 + 378*b34*b574 + 1116*b34*b575 + 2646*b34*b576 + 
    882*b34*b577 + 2604*b34*b578 + 1512*b34*b579 + 504*b34*b580 + 1488*b34*b581
     + 8190*b34*b582 + 2730*b34*b583 + 8060*b34*b584 + 882*b34*b585 + 294*b34*
    b586 + 868*b34*b587 + 2142*b34*b588 + 714*b34*b589 + 2108*b34*b590 + 6426*
    b34*b591 + 2142*b34*b592 + 6324*b34*b593 + 10584*b34*b594 + 3528*b34*b595
     + 10416*b34*b596 + 10962*b34*b597 + 3654*b34*b598 + 10788*b34*b599 + 10212
    *b34*b600 + 2898*b34*b601 + 13248*b34*b602 + 1518*b34*b603 + 9936*b34*b604
     + 8694*b34*b605 + 12558*b34*b606 + 8004*b34*b607 + 12006*b34*b609 + 8004*
    b34*b610 + 2346*b34*b611 + 9384*b34*b612 + 3726*b34*b613 + 2898*b34*b614 + 
    828*b34*b615 + 9246*b34*b616 + 3588*b34*b617 + 11316*b34*b618 + 6072*b34*
    b619 + 4830*b34*b620 + 414*b34*b621 + 8556*b34*b622 + 11868*b34*b623 + 9954
    *b34*b624 + 3318*b34*b625 + 9796*b34*b626 + 8460*b35*b47 + 5640*b35*b48 + 
    11468*b35*b49 + 13912*b35*b50 + 14476*b35*b51 + 13912*b35*b52 + 1128*b35*
    b53 + 2444*b35*b54 + 10340*b35*b55 + 16356*b35*b56 + 1504*b35*b58 + 9588*
    b35*b59 + 188*b35*b60 + 17108*b35*b61 + 16356*b35*b62 + 13536*b35*b63 + 
    8460*b35*b64 + 18048*b35*b65 + 1316*b35*b66 + 16356*b35*b67 + 12784*b35*b68
     + 1710*b35*b69 + 1140*b35*b70 + 2318*b35*b71 + 2812*b35*b72 + 2926*b35*b73
     + 2812*b35*b74 + 228*b35*b75 + 494*b35*b76 + 2090*b35*b77 + 3306*b35*b78
     + 304*b35*b80 + 1938*b35*b81 + 38*b35*b82 + 3458*b35*b83 + 3306*b35*b84 + 
    2736*b35*b85 + 1710*b35*b86 + 3648*b35*b87 + 266*b35*b88 + 3306*b35*b89 + 
    2584*b35*b90 + 4860*b35*b91 + 3240*b35*b92 + 6588*b35*b93 + 7992*b35*b94 + 
    8316*b35*b95 + 7992*b35*b96 + 648*b35*b97 + 1404*b35*b98 + 5940*b35*b99 + 
    9396*b35*b100 + 864*b35*b102 + 5508*b35*b103 + 108*b35*b104 + 9828*b35*b105
     + 9396*b35*b106 + 7776*b35*b107 + 4860*b35*b108 + 10368*b35*b109 + 756*b35
    *b110 + 9396*b35*b111 + 7344*b35*b112 + 3330*b35*b113 + 2220*b35*b114 + 
    4514*b35*b115 + 5476*b35*b116 + 5698*b35*b117 + 5476*b35*b118 + 444*b35*
    b119 + 962*b35*b120 + 4070*b35*b121 + 6438*b35*b122 + 592*b35*b124 + 3774*
    b35*b125 + 74*b35*b126 + 6734*b35*b127 + 6438*b35*b128 + 5328*b35*b129 + 
    3330*b35*b130 + 7104*b35*b131 + 518*b35*b132 + 6438*b35*b133 + 5032*b35*
    b134 + 1800*b35*b157 + 1200*b35*b158 + 2440*b35*b159 + 2960*b35*b160 + 3080
    *b35*b161 + 2960*b35*b162 + 240*b35*b163 + 520*b35*b164 + 2200*b35*b165 + 
    3480*b35*b166 + 320*b35*b168 + 2040*b35*b169 + 40*b35*b170 + 3640*b35*b171
     + 3480*b35*b172 + 2880*b35*b173 + 1800*b35*b174 + 3840*b35*b175 + 280*b35*
    b176 + 3480*b35*b177 + 2720*b35*b178 + 1080*b35*b179 + 720*b35*b180 + 1464*
    b35*b181 + 1776*b35*b182 + 1848*b35*b183 + 1776*b35*b184 + 144*b35*b185 + 
    312*b35*b186 + 1320*b35*b187 + 2088*b35*b188 + 192*b35*b190 + 1224*b35*b191
     + 24*b35*b192 + 2184*b35*b193 + 2088*b35*b194 + 1728*b35*b195 + 1080*b35*
    b196 + 2304*b35*b197 + 168*b35*b198 + 2088*b35*b199 + 1632*b35*b200 + 990*
    b35*b201 + 660*b35*b202 + 1342*b35*b203 + 1628*b35*b204 + 1694*b35*b205 + 
    1628*b35*b206 + 132*b35*b207 + 286*b35*b208 + 1210*b35*b209 + 1914*b35*b210
     + 176*b35*b212 + 1122*b35*b213 + 22*b35*b214 + 2002*b35*b215 + 1914*b35*
    b216 + 1584*b35*b217 + 990*b35*b218 + 2112*b35*b219 + 154*b35*b220 + 1914*
    b35*b221 + 1496*b35*b222 + 5940*b35*b223 + 3960*b35*b224 + 8052*b35*b225 + 
    9768*b35*b226 + 10164*b35*b227 + 9768*b35*b228 + 792*b35*b229 + 1716*b35*
    b230 + 7260*b35*b231 + 11484*b35*b232 + 1056*b35*b234 + 6732*b35*b235 + 132
    *b35*b236 + 12012*b35*b237 + 11484*b35*b238 + 9504*b35*b239 + 5940*b35*b240
     + 12672*b35*b241 + 924*b35*b242 + 11484*b35*b243 + 8976*b35*b244 + 7560*
    b35*b245 + 5040*b35*b246 + 10248*b35*b247 + 12432*b35*b248 + 12936*b35*b249
     + 12432*b35*b250 + 1008*b35*b251 + 2184*b35*b252 + 9240*b35*b253 + 14616*
    b35*b254 + 1344*b35*b256 + 8568*b35*b257 + 168*b35*b258 + 15288*b35*b259 + 
    14616*b35*b260 + 12096*b35*b261 + 7560*b35*b262 + 16128*b35*b263 + 1176*b35
    *b264 + 14616*b35*b265 + 11424*b35*b266 + 7200*b35*b267 + 4800*b35*b268 + 
    9760*b35*b269 + 11840*b35*b270 + 12320*b35*b271 + 11840*b35*b272 + 960*b35*
    b273 + 2080*b35*b274 + 8800*b35*b275 + 13920*b35*b276 + 1280*b35*b278 + 
    8160*b35*b279 + 160*b35*b280 + 14560*b35*b281 + 13920*b35*b282 + 11520*b35*
    b283 + 7200*b35*b284 + 15360*b35*b285 + 1120*b35*b286 + 13920*b35*b287 + 
    10880*b35*b288 + 90*b35*b289 + 60*b35*b290 + 122*b35*b291 + 148*b35*b292 + 
    154*b35*b293 + 148*b35*b294 + 12*b35*b295 + 26*b35*b296 + 110*b35*b297 + 
    174*b35*b298 + 16*b35*b300 + 102*b35*b301 + 2*b35*b302 + 182*b35*b303 + 174
    *b35*b304 + 144*b35*b305 + 90*b35*b306 + 192*b35*b307 + 14*b35*b308 + 174*
    b35*b309 + 136*b35*b310 + 4950*b35*b311 + 3300*b35*b312 + 6710*b35*b313 + 
    8140*b35*b314 + 8470*b35*b315 + 8140*b35*b316 + 660*b35*b317 + 1430*b35*
    b318 + 6050*b35*b319 + 9570*b35*b320 + 880*b35*b322 + 5610*b35*b323 + 110*
    b35*b324 + 10010*b35*b325 + 9570*b35*b326 + 7920*b35*b327 + 4950*b35*b328
     + 10560*b35*b329 + 770*b35*b330 + 9570*b35*b331 + 7480*b35*b332 + 810*b35*
    b333 + 540*b35*b334 + 1098*b35*b335 + 1332*b35*b336 + 1386*b35*b337 + 1332*
    b35*b338 + 108*b35*b339 + 234*b35*b340 + 990*b35*b341 + 1566*b35*b342 + 144
    *b35*b344 + 918*b35*b345 + 18*b35*b346 + 1638*b35*b347 + 1566*b35*b348 + 
    1296*b35*b349 + 810*b35*b350 + 1728*b35*b351 + 126*b35*b352 + 1566*b35*b353
     + 1224*b35*b354 + 1890*b35*b355 + 1260*b35*b356 + 2562*b35*b357 + 3108*b35
    *b358 + 3234*b35*b359 + 3108*b35*b360 + 252*b35*b361 + 546*b35*b362 + 2310*
    b35*b363 + 3654*b35*b364 + 336*b35*b366 + 2142*b35*b367 + 42*b35*b368 + 
    3822*b35*b369 + 3654*b35*b370 + 3024*b35*b371 + 1890*b35*b372 + 4032*b35*
    b373 + 294*b35*b374 + 3654*b35*b375 + 2856*b35*b376 + 1080*b35*b377 + 720*
    b35*b378 + 1464*b35*b379 + 1776*b35*b380 + 1848*b35*b381 + 1776*b35*b382 + 
    144*b35*b383 + 312*b35*b384 + 1320*b35*b385 + 2088*b35*b386 + 192*b35*b388
     + 1224*b35*b389 + 24*b35*b390 + 2184*b35*b391 + 2088*b35*b392 + 1728*b35*
    b393 + 1080*b35*b394 + 2304*b35*b395 + 168*b35*b396 + 2088*b35*b397 + 1632*
    b35*b398 + 5850*b35*b399 + 3900*b35*b400 + 7930*b35*b401 + 9620*b35*b402 + 
    10010*b35*b403 + 9620*b35*b404 + 780*b35*b405 + 1690*b35*b406 + 7150*b35*
    b407 + 11310*b35*b408 + 1040*b35*b410 + 6630*b35*b411 + 130*b35*b412 + 
    11830*b35*b413 + 11310*b35*b414 + 9360*b35*b415 + 5850*b35*b416 + 12480*b35
    *b417 + 910*b35*b418 + 11310*b35*b419 + 8840*b35*b420 + 630*b35*b421 + 420*
    b35*b422 + 854*b35*b423 + 1036*b35*b424 + 1078*b35*b425 + 1036*b35*b426 + 
    84*b35*b427 + 182*b35*b428 + 770*b35*b429 + 1218*b35*b430 + 112*b35*b432 + 
    714*b35*b433 + 14*b35*b434 + 1274*b35*b435 + 1218*b35*b436 + 1008*b35*b437
     + 630*b35*b438 + 1344*b35*b439 + 98*b35*b440 + 1218*b35*b441 + 952*b35*
    b442 + 1530*b35*b443 + 1020*b35*b444 + 2074*b35*b445 + 2516*b35*b446 + 2618
    *b35*b447 + 2516*b35*b448 + 204*b35*b449 + 442*b35*b450 + 1870*b35*b451 + 
    2958*b35*b452 + 272*b35*b454 + 1734*b35*b455 + 34*b35*b456 + 3094*b35*b457
     + 2958*b35*b458 + 2448*b35*b459 + 1530*b35*b460 + 3264*b35*b461 + 238*b35*
    b462 + 2958*b35*b463 + 2312*b35*b464 + 4590*b35*b465 + 3060*b35*b466 + 6222
    *b35*b467 + 7548*b35*b468 + 7854*b35*b469 + 7548*b35*b470 + 612*b35*b471 + 
    1326*b35*b472 + 5610*b35*b473 + 8874*b35*b474 + 816*b35*b476 + 5202*b35*
    b477 + 102*b35*b478 + 9282*b35*b479 + 8874*b35*b480 + 7344*b35*b481 + 4590*
    b35*b482 + 9792*b35*b483 + 714*b35*b484 + 8874*b35*b485 + 6936*b35*b486 + 
    7560*b35*b487 + 5040*b35*b488 + 10248*b35*b489 + 12432*b35*b490 + 12936*b35
    *b491 + 12432*b35*b492 + 1008*b35*b493 + 2184*b35*b494 + 9240*b35*b495 + 
    14616*b35*b496 + 1344*b35*b498 + 8568*b35*b499 + 168*b35*b500 + 15288*b35*
    b501 + 14616*b35*b502 + 12096*b35*b503 + 7560*b35*b504 + 16128*b35*b505 + 
    1176*b35*b506 + 14616*b35*b507 + 11424*b35*b508 + 7830*b35*b509 + 5220*b35*
    b510 + 10614*b35*b511 + 12876*b35*b512 + 13398*b35*b513 + 12876*b35*b514 + 
    1044*b35*b515 + 2262*b35*b516 + 9570*b35*b517 + 15138*b35*b518 + 1392*b35*
    b520 + 8874*b35*b521 + 174*b35*b522 + 15834*b35*b523 + 15138*b35*b524 + 
    12528*b35*b525 + 7830*b35*b526 + 16704*b35*b527 + 1218*b35*b528 + 15138*b35
    *b529 + 11832*b35*b530 + 1128*b35*b534 + 7332*b35*b535 + 6204*b35*b536 + 
    228*b35*b537 + 1482*b35*b538 + 1254*b35*b539 + 648*b35*b540 + 4212*b35*b541
     + 3564*b35*b542 + 444*b35*b543 + 2886*b35*b544 + 2442*b35*b545 + 240*b35*
    b549 + 1560*b35*b550 + 1320*b35*b551 + 144*b35*b552 + 936*b35*b553 + 792*
    b35*b554 + 132*b35*b555 + 858*b35*b556 + 726*b35*b557 + 792*b35*b558 + 5148
    *b35*b559 + 4356*b35*b560 + 1008*b35*b561 + 6552*b35*b562 + 5544*b35*b563
     + 960*b35*b564 + 6240*b35*b565 + 5280*b35*b566 + 12*b35*b567 + 78*b35*b568
     + 66*b35*b569 + 660*b35*b570 + 4290*b35*b571 + 3630*b35*b572 + 108*b35*
    b573 + 702*b35*b574 + 594*b35*b575 + 252*b35*b576 + 1638*b35*b577 + 1386*
    b35*b578 + 144*b35*b579 + 936*b35*b580 + 792*b35*b581 + 780*b35*b582 + 5070
    *b35*b583 + 4290*b35*b584 + 84*b35*b585 + 546*b35*b586 + 462*b35*b587 + 204
    *b35*b588 + 1326*b35*b589 + 1122*b35*b590 + 612*b35*b591 + 3978*b35*b592 + 
    3366*b35*b593 + 1008*b35*b594 + 6552*b35*b595 + 5544*b35*b596 + 1044*b35*
    b597 + 6786*b35*b598 + 5742*b35*b599 + 4140*b35*b600 + 8418*b35*b601 + 
    10212*b35*b602 + 10626*b35*b603 + 10212*b35*b604 + 828*b35*b605 + 1794*b35*
    b606 + 7590*b35*b607 + 12006*b35*b608 + 1104*b35*b610 + 7038*b35*b611 + 138
    *b35*b612 + 12558*b35*b613 + 5382*b35*b614 + 12006*b35*b615 + 9936*b35*b616
     + 6210*b35*b617 + 13248*b35*b618 + 966*b35*b619 + 12006*b35*b620 + 9384*
    b35*b621 + 4554*b35*b622 + 6210*b35*b623 + 948*b35*b624 + 6162*b35*b625 + 
    5214*b35*b626 + 17108*b36*b47 + 16732*b36*b48 + 15040*b36*b49 + 8460*b36*
    b50 + 6016*b36*b51 + 8648*b36*b52 + 11092*b36*b54 + 3572*b36*b55 + 10904*
    b36*b56 + 1504*b36*b57 + 564*b36*b59 + 3948*b36*b60 + 16920*b36*b61 + 8836*
    b36*b62 + 4700*b36*b63 + 5640*b36*b64 + 8084*b36*b65 + 18236*b36*b66 + 6204
    *b36*b67 + 6580*b36*b68 + 3458*b36*b69 + 3382*b36*b70 + 3040*b36*b71 + 1710
    *b36*b72 + 1216*b36*b73 + 1748*b36*b74 + 2242*b36*b76 + 722*b36*b77 + 2204*
    b36*b78 + 304*b36*b79 + 114*b36*b81 + 798*b36*b82 + 3420*b36*b83 + 1786*b36
    *b84 + 950*b36*b85 + 1140*b36*b86 + 1634*b36*b87 + 3686*b36*b88 + 1254*b36*
    b89 + 1330*b36*b90 + 9828*b36*b91 + 9612*b36*b92 + 8640*b36*b93 + 4860*b36*
    b94 + 3456*b36*b95 + 4968*b36*b96 + 6372*b36*b98 + 2052*b36*b99 + 6264*b36*
    b100 + 864*b36*b101 + 324*b36*b103 + 2268*b36*b104 + 9720*b36*b105 + 5076*
    b36*b106 + 2700*b36*b107 + 3240*b36*b108 + 4644*b36*b109 + 10476*b36*b110
     + 3564*b36*b111 + 3780*b36*b112 + 6734*b36*b113 + 6586*b36*b114 + 5920*b36
    *b115 + 3330*b36*b116 + 2368*b36*b117 + 3404*b36*b118 + 4366*b36*b120 + 
    1406*b36*b121 + 4292*b36*b122 + 592*b36*b123 + 222*b36*b125 + 1554*b36*b126
     + 6660*b36*b127 + 3478*b36*b128 + 1850*b36*b129 + 2220*b36*b130 + 3182*b36
    *b131 + 7178*b36*b132 + 2442*b36*b133 + 2590*b36*b134 + 3640*b36*b157 + 
    3560*b36*b158 + 3200*b36*b159 + 1800*b36*b160 + 1280*b36*b161 + 1840*b36*
    b162 + 2360*b36*b164 + 760*b36*b165 + 2320*b36*b166 + 320*b36*b167 + 120*
    b36*b169 + 840*b36*b170 + 3600*b36*b171 + 1880*b36*b172 + 1000*b36*b173 + 
    1200*b36*b174 + 1720*b36*b175 + 3880*b36*b176 + 1320*b36*b177 + 1400*b36*
    b178 + 2184*b36*b179 + 2136*b36*b180 + 1920*b36*b181 + 1080*b36*b182 + 768*
    b36*b183 + 1104*b36*b184 + 1416*b36*b186 + 456*b36*b187 + 1392*b36*b188 + 
    192*b36*b189 + 72*b36*b191 + 504*b36*b192 + 2160*b36*b193 + 1128*b36*b194
     + 600*b36*b195 + 720*b36*b196 + 1032*b36*b197 + 2328*b36*b198 + 792*b36*
    b199 + 840*b36*b200 + 2002*b36*b201 + 1958*b36*b202 + 1760*b36*b203 + 990*
    b36*b204 + 704*b36*b205 + 1012*b36*b206 + 1298*b36*b208 + 418*b36*b209 + 
    1276*b36*b210 + 176*b36*b211 + 66*b36*b213 + 462*b36*b214 + 1980*b36*b215
     + 1034*b36*b216 + 550*b36*b217 + 660*b36*b218 + 946*b36*b219 + 2134*b36*
    b220 + 726*b36*b221 + 770*b36*b222 + 12012*b36*b223 + 11748*b36*b224 + 
    10560*b36*b225 + 5940*b36*b226 + 4224*b36*b227 + 6072*b36*b228 + 7788*b36*
    b230 + 2508*b36*b231 + 7656*b36*b232 + 1056*b36*b233 + 396*b36*b235 + 2772*
    b36*b236 + 11880*b36*b237 + 6204*b36*b238 + 3300*b36*b239 + 3960*b36*b240
     + 5676*b36*b241 + 12804*b36*b242 + 4356*b36*b243 + 4620*b36*b244 + 15288*
    b36*b245 + 14952*b36*b246 + 13440*b36*b247 + 7560*b36*b248 + 5376*b36*b249
     + 7728*b36*b250 + 9912*b36*b252 + 3192*b36*b253 + 9744*b36*b254 + 1344*b36
    *b255 + 504*b36*b257 + 3528*b36*b258 + 15120*b36*b259 + 7896*b36*b260 + 
    4200*b36*b261 + 5040*b36*b262 + 7224*b36*b263 + 16296*b36*b264 + 5544*b36*
    b265 + 5880*b36*b266 + 14560*b36*b267 + 14240*b36*b268 + 12800*b36*b269 + 
    7200*b36*b270 + 5120*b36*b271 + 7360*b36*b272 + 9440*b36*b274 + 3040*b36*
    b275 + 9280*b36*b276 + 1280*b36*b277 + 480*b36*b279 + 3360*b36*b280 + 14400
    *b36*b281 + 7520*b36*b282 + 4000*b36*b283 + 4800*b36*b284 + 6880*b36*b285
     + 15520*b36*b286 + 5280*b36*b287 + 5600*b36*b288 + 182*b36*b289 + 178*b36*
    b290 + 160*b36*b291 + 90*b36*b292 + 64*b36*b293 + 92*b36*b294 + 118*b36*
    b296 + 38*b36*b297 + 116*b36*b298 + 16*b36*b299 + 6*b36*b301 + 42*b36*b302
     + 180*b36*b303 + 94*b36*b304 + 50*b36*b305 + 60*b36*b306 + 86*b36*b307 + 
    194*b36*b308 + 66*b36*b309 + 70*b36*b310 + 10010*b36*b311 + 9790*b36*b312
     + 8800*b36*b313 + 4950*b36*b314 + 3520*b36*b315 + 5060*b36*b316 + 6490*b36
    *b318 + 2090*b36*b319 + 6380*b36*b320 + 880*b36*b321 + 330*b36*b323 + 2310*
    b36*b324 + 9900*b36*b325 + 5170*b36*b326 + 2750*b36*b327 + 3300*b36*b328 + 
    4730*b36*b329 + 10670*b36*b330 + 3630*b36*b331 + 3850*b36*b332 + 1638*b36*
    b333 + 1602*b36*b334 + 1440*b36*b335 + 810*b36*b336 + 576*b36*b337 + 828*
    b36*b338 + 1062*b36*b340 + 342*b36*b341 + 1044*b36*b342 + 144*b36*b343 + 54
    *b36*b345 + 378*b36*b346 + 1620*b36*b347 + 846*b36*b348 + 450*b36*b349 + 
    540*b36*b350 + 774*b36*b351 + 1746*b36*b352 + 594*b36*b353 + 630*b36*b354
     + 3822*b36*b355 + 3738*b36*b356 + 3360*b36*b357 + 1890*b36*b358 + 1344*b36
    *b359 + 1932*b36*b360 + 2478*b36*b362 + 798*b36*b363 + 2436*b36*b364 + 336*
    b36*b365 + 126*b36*b367 + 882*b36*b368 + 3780*b36*b369 + 1974*b36*b370 + 
    1050*b36*b371 + 1260*b36*b372 + 1806*b36*b373 + 4074*b36*b374 + 1386*b36*
    b375 + 1470*b36*b376 + 2184*b36*b377 + 2136*b36*b378 + 1920*b36*b379 + 1080
    *b36*b380 + 768*b36*b381 + 1104*b36*b382 + 1416*b36*b384 + 456*b36*b385 + 
    1392*b36*b386 + 192*b36*b387 + 72*b36*b389 + 504*b36*b390 + 2160*b36*b391
     + 1128*b36*b392 + 600*b36*b393 + 720*b36*b394 + 1032*b36*b395 + 2328*b36*
    b396 + 792*b36*b397 + 840*b36*b398 + 11830*b36*b399 + 11570*b36*b400 + 
    10400*b36*b401 + 5850*b36*b402 + 4160*b36*b403 + 5980*b36*b404 + 7670*b36*
    b406 + 2470*b36*b407 + 7540*b36*b408 + 1040*b36*b409 + 390*b36*b411 + 2730*
    b36*b412 + 11700*b36*b413 + 6110*b36*b414 + 3250*b36*b415 + 3900*b36*b416
     + 5590*b36*b417 + 12610*b36*b418 + 4290*b36*b419 + 4550*b36*b420 + 1274*
    b36*b421 + 1246*b36*b422 + 1120*b36*b423 + 630*b36*b424 + 448*b36*b425 + 
    644*b36*b426 + 826*b36*b428 + 266*b36*b429 + 812*b36*b430 + 112*b36*b431 + 
    42*b36*b433 + 294*b36*b434 + 1260*b36*b435 + 658*b36*b436 + 350*b36*b437 + 
    420*b36*b438 + 602*b36*b439 + 1358*b36*b440 + 462*b36*b441 + 490*b36*b442
     + 3094*b36*b443 + 3026*b36*b444 + 2720*b36*b445 + 1530*b36*b446 + 1088*b36
    *b447 + 1564*b36*b448 + 2006*b36*b450 + 646*b36*b451 + 1972*b36*b452 + 272*
    b36*b453 + 102*b36*b455 + 714*b36*b456 + 3060*b36*b457 + 1598*b36*b458 + 
    850*b36*b459 + 1020*b36*b460 + 1462*b36*b461 + 3298*b36*b462 + 1122*b36*
    b463 + 1190*b36*b464 + 9282*b36*b465 + 9078*b36*b466 + 8160*b36*b467 + 4590
    *b36*b468 + 3264*b36*b469 + 4692*b36*b470 + 6018*b36*b472 + 1938*b36*b473
     + 5916*b36*b474 + 816*b36*b475 + 306*b36*b477 + 2142*b36*b478 + 9180*b36*
    b479 + 4794*b36*b480 + 2550*b36*b481 + 3060*b36*b482 + 4386*b36*b483 + 9894
    *b36*b484 + 3366*b36*b485 + 3570*b36*b486 + 15288*b36*b487 + 14952*b36*b488
     + 13440*b36*b489 + 7560*b36*b490 + 5376*b36*b491 + 7728*b36*b492 + 9912*
    b36*b494 + 3192*b36*b495 + 9744*b36*b496 + 1344*b36*b497 + 504*b36*b499 + 
    3528*b36*b500 + 15120*b36*b501 + 7896*b36*b502 + 4200*b36*b503 + 5040*b36*
    b504 + 7224*b36*b505 + 16296*b36*b506 + 5544*b36*b507 + 5880*b36*b508 + 
    15834*b36*b509 + 15486*b36*b510 + 13920*b36*b511 + 7830*b36*b512 + 5568*b36
    *b513 + 8004*b36*b514 + 10266*b36*b516 + 3306*b36*b517 + 10092*b36*b518 + 
    1392*b36*b519 + 522*b36*b521 + 3654*b36*b522 + 15660*b36*b523 + 8178*b36*
    b524 + 4350*b36*b525 + 5220*b36*b526 + 7482*b36*b527 + 16878*b36*b528 + 
    5742*b36*b529 + 6090*b36*b530 + 8272*b36*b534 + 8460*b36*b535 + 11468*b36*
    b536 + 1672*b36*b537 + 1710*b36*b538 + 2318*b36*b539 + 4752*b36*b540 + 4860
    *b36*b541 + 6588*b36*b542 + 3256*b36*b543 + 3330*b36*b544 + 4514*b36*b545
     + 1760*b36*b549 + 1800*b36*b550 + 2440*b36*b551 + 1056*b36*b552 + 1080*b36
    *b553 + 1464*b36*b554 + 968*b36*b555 + 990*b36*b556 + 1342*b36*b557 + 5808*
    b36*b558 + 5940*b36*b559 + 8052*b36*b560 + 7392*b36*b561 + 7560*b36*b562 + 
    10248*b36*b563 + 7040*b36*b564 + 7200*b36*b565 + 9760*b36*b566 + 88*b36*
    b567 + 90*b36*b568 + 122*b36*b569 + 4840*b36*b570 + 4950*b36*b571 + 6710*
    b36*b572 + 792*b36*b573 + 810*b36*b574 + 1098*b36*b575 + 1848*b36*b576 + 
    1890*b36*b577 + 2562*b36*b578 + 1056*b36*b579 + 1080*b36*b580 + 1464*b36*
    b581 + 5720*b36*b582 + 5850*b36*b583 + 7930*b36*b584 + 616*b36*b585 + 630*
    b36*b586 + 854*b36*b587 + 1496*b36*b588 + 1530*b36*b589 + 2074*b36*b590 + 
    4488*b36*b591 + 4590*b36*b592 + 6222*b36*b593 + 7392*b36*b594 + 7560*b36*
    b595 + 10248*b36*b596 + 7656*b36*b597 + 7830*b36*b598 + 10614*b36*b599 + 
    12282*b36*b600 + 11040*b36*b601 + 6210*b36*b602 + 4416*b36*b603 + 6348*b36*
    b604 + 8142*b36*b606 + 2622*b36*b607 + 8004*b36*b608 + 1104*b36*b609 + 414*
    b36*b611 + 2898*b36*b612 + 12420*b36*b613 + 6210*b36*b614 + 6486*b36*b615
     + 3450*b36*b616 + 4140*b36*b617 + 5934*b36*b618 + 13386*b36*b619 + 4554*
    b36*b620 + 4830*b36*b621 + 8418*b36*b622 + 12558*b36*b623 + 6952*b36*b624
     + 7110*b36*b625 + 9638*b36*b626 + 11092*b37*b47 + 14288*b37*b48 + 10904*
    b37*b49 + 12220*b37*b50 + 16356*b37*b51 + 2444*b37*b52 + 11656*b37*b53 + 
    9212*b37*b54 + 15980*b37*b55 + 3196*b37*b56 + 9588*b37*b57 + 564*b37*b58 + 
    7896*b37*b60 + 6768*b37*b61 + 1316*b37*b62 + 15792*b37*b63 + 1128*b37*b64
     + 9024*b37*b67 + 11656*b37*b68 + 2242*b37*b69 + 2888*b37*b70 + 2204*b37*
    b71 + 2470*b37*b72 + 3306*b37*b73 + 494*b37*b74 + 2356*b37*b75 + 1862*b37*
    b76 + 3230*b37*b77 + 646*b37*b78 + 1938*b37*b79 + 114*b37*b80 + 1596*b37*
    b82 + 1368*b37*b83 + 266*b37*b84 + 3192*b37*b85 + 228*b37*b86 + 1824*b37*
    b89 + 2356*b37*b90 + 6372*b37*b91 + 8208*b37*b92 + 6264*b37*b93 + 7020*b37*
    b94 + 9396*b37*b95 + 1404*b37*b96 + 6696*b37*b97 + 5292*b37*b98 + 9180*b37*
    b99 + 1836*b37*b100 + 5508*b37*b101 + 324*b37*b102 + 4536*b37*b104 + 3888*
    b37*b105 + 756*b37*b106 + 9072*b37*b107 + 648*b37*b108 + 5184*b37*b111 + 
    6696*b37*b112 + 4366*b37*b113 + 5624*b37*b114 + 4292*b37*b115 + 4810*b37*
    b116 + 6438*b37*b117 + 962*b37*b118 + 4588*b37*b119 + 3626*b37*b120 + 6290*
    b37*b121 + 1258*b37*b122 + 3774*b37*b123 + 222*b37*b124 + 3108*b37*b126 + 
    2664*b37*b127 + 518*b37*b128 + 6216*b37*b129 + 444*b37*b130 + 3552*b37*b133
     + 4588*b37*b134 + 2360*b37*b157 + 3040*b37*b158 + 2320*b37*b159 + 2600*b37
    *b160 + 3480*b37*b161 + 520*b37*b162 + 2480*b37*b163 + 1960*b37*b164 + 3400
    *b37*b165 + 680*b37*b166 + 2040*b37*b167 + 120*b37*b168 + 1680*b37*b170 + 
    1440*b37*b171 + 280*b37*b172 + 3360*b37*b173 + 240*b37*b174 + 1920*b37*b177
     + 2480*b37*b178 + 1416*b37*b179 + 1824*b37*b180 + 1392*b37*b181 + 1560*b37
    *b182 + 2088*b37*b183 + 312*b37*b184 + 1488*b37*b185 + 1176*b37*b186 + 2040
    *b37*b187 + 408*b37*b188 + 1224*b37*b189 + 72*b37*b190 + 1008*b37*b192 + 
    864*b37*b193 + 168*b37*b194 + 2016*b37*b195 + 144*b37*b196 + 1152*b37*b199
     + 1488*b37*b200 + 1298*b37*b201 + 1672*b37*b202 + 1276*b37*b203 + 1430*b37
    *b204 + 1914*b37*b205 + 286*b37*b206 + 1364*b37*b207 + 1078*b37*b208 + 1870
    *b37*b209 + 374*b37*b210 + 1122*b37*b211 + 66*b37*b212 + 924*b37*b214 + 792
    *b37*b215 + 154*b37*b216 + 1848*b37*b217 + 132*b37*b218 + 1056*b37*b221 + 
    1364*b37*b222 + 7788*b37*b223 + 10032*b37*b224 + 7656*b37*b225 + 8580*b37*
    b226 + 11484*b37*b227 + 1716*b37*b228 + 8184*b37*b229 + 6468*b37*b230 + 
    11220*b37*b231 + 2244*b37*b232 + 6732*b37*b233 + 396*b37*b234 + 5544*b37*
    b236 + 4752*b37*b237 + 924*b37*b238 + 11088*b37*b239 + 792*b37*b240 + 6336*
    b37*b243 + 8184*b37*b244 + 9912*b37*b245 + 12768*b37*b246 + 9744*b37*b247
     + 10920*b37*b248 + 14616*b37*b249 + 2184*b37*b250 + 10416*b37*b251 + 8232*
    b37*b252 + 14280*b37*b253 + 2856*b37*b254 + 8568*b37*b255 + 504*b37*b256 + 
    7056*b37*b258 + 6048*b37*b259 + 1176*b37*b260 + 14112*b37*b261 + 1008*b37*
    b262 + 8064*b37*b265 + 10416*b37*b266 + 9440*b37*b267 + 12160*b37*b268 + 
    9280*b37*b269 + 10400*b37*b270 + 13920*b37*b271 + 2080*b37*b272 + 9920*b37*
    b273 + 7840*b37*b274 + 13600*b37*b275 + 2720*b37*b276 + 8160*b37*b277 + 480
    *b37*b278 + 6720*b37*b280 + 5760*b37*b281 + 1120*b37*b282 + 13440*b37*b283
     + 960*b37*b284 + 7680*b37*b287 + 9920*b37*b288 + 118*b37*b289 + 152*b37*
    b290 + 116*b37*b291 + 130*b37*b292 + 174*b37*b293 + 26*b37*b294 + 124*b37*
    b295 + 98*b37*b296 + 170*b37*b297 + 34*b37*b298 + 102*b37*b299 + 6*b37*b300
     + 84*b37*b302 + 72*b37*b303 + 14*b37*b304 + 168*b37*b305 + 12*b37*b306 + 
    96*b37*b309 + 124*b37*b310 + 6490*b37*b311 + 8360*b37*b312 + 6380*b37*b313
     + 7150*b37*b314 + 9570*b37*b315 + 1430*b37*b316 + 6820*b37*b317 + 5390*b37
    *b318 + 9350*b37*b319 + 1870*b37*b320 + 5610*b37*b321 + 330*b37*b322 + 4620
    *b37*b324 + 3960*b37*b325 + 770*b37*b326 + 9240*b37*b327 + 660*b37*b328 + 
    5280*b37*b331 + 6820*b37*b332 + 1062*b37*b333 + 1368*b37*b334 + 1044*b37*
    b335 + 1170*b37*b336 + 1566*b37*b337 + 234*b37*b338 + 1116*b37*b339 + 882*
    b37*b340 + 1530*b37*b341 + 306*b37*b342 + 918*b37*b343 + 54*b37*b344 + 756*
    b37*b346 + 648*b37*b347 + 126*b37*b348 + 1512*b37*b349 + 108*b37*b350 + 864
    *b37*b353 + 1116*b37*b354 + 2478*b37*b355 + 3192*b37*b356 + 2436*b37*b357
     + 2730*b37*b358 + 3654*b37*b359 + 546*b37*b360 + 2604*b37*b361 + 2058*b37*
    b362 + 3570*b37*b363 + 714*b37*b364 + 2142*b37*b365 + 126*b37*b366 + 1764*
    b37*b368 + 1512*b37*b369 + 294*b37*b370 + 3528*b37*b371 + 252*b37*b372 + 
    2016*b37*b375 + 2604*b37*b376 + 1416*b37*b377 + 1824*b37*b378 + 1392*b37*
    b379 + 1560*b37*b380 + 2088*b37*b381 + 312*b37*b382 + 1488*b37*b383 + 1176*
    b37*b384 + 2040*b37*b385 + 408*b37*b386 + 1224*b37*b387 + 72*b37*b388 + 
    1008*b37*b390 + 864*b37*b391 + 168*b37*b392 + 2016*b37*b393 + 144*b37*b394
     + 1152*b37*b397 + 1488*b37*b398 + 7670*b37*b399 + 9880*b37*b400 + 7540*b37
    *b401 + 8450*b37*b402 + 11310*b37*b403 + 1690*b37*b404 + 8060*b37*b405 + 
    6370*b37*b406 + 11050*b37*b407 + 2210*b37*b408 + 6630*b37*b409 + 390*b37*
    b410 + 5460*b37*b412 + 4680*b37*b413 + 910*b37*b414 + 10920*b37*b415 + 780*
    b37*b416 + 6240*b37*b419 + 8060*b37*b420 + 826*b37*b421 + 1064*b37*b422 + 
    812*b37*b423 + 910*b37*b424 + 1218*b37*b425 + 182*b37*b426 + 868*b37*b427
     + 686*b37*b428 + 1190*b37*b429 + 238*b37*b430 + 714*b37*b431 + 42*b37*b432
     + 588*b37*b434 + 504*b37*b435 + 98*b37*b436 + 1176*b37*b437 + 84*b37*b438
     + 672*b37*b441 + 868*b37*b442 + 2006*b37*b443 + 2584*b37*b444 + 1972*b37*
    b445 + 2210*b37*b446 + 2958*b37*b447 + 442*b37*b448 + 2108*b37*b449 + 1666*
    b37*b450 + 2890*b37*b451 + 578*b37*b452 + 1734*b37*b453 + 102*b37*b454 + 
    1428*b37*b456 + 1224*b37*b457 + 238*b37*b458 + 2856*b37*b459 + 204*b37*b460
     + 1632*b37*b463 + 2108*b37*b464 + 6018*b37*b465 + 7752*b37*b466 + 5916*b37
    *b467 + 6630*b37*b468 + 8874*b37*b469 + 1326*b37*b470 + 6324*b37*b471 + 
    4998*b37*b472 + 8670*b37*b473 + 1734*b37*b474 + 5202*b37*b475 + 306*b37*
    b476 + 4284*b37*b478 + 3672*b37*b479 + 714*b37*b480 + 8568*b37*b481 + 612*
    b37*b482 + 4896*b37*b485 + 6324*b37*b486 + 9912*b37*b487 + 12768*b37*b488
     + 9744*b37*b489 + 10920*b37*b490 + 14616*b37*b491 + 2184*b37*b492 + 10416*
    b37*b493 + 8232*b37*b494 + 14280*b37*b495 + 2856*b37*b496 + 8568*b37*b497
     + 504*b37*b498 + 7056*b37*b500 + 6048*b37*b501 + 1176*b37*b502 + 14112*b37
    *b503 + 1008*b37*b504 + 8064*b37*b507 + 10416*b37*b508 + 10266*b37*b509 + 
    13224*b37*b510 + 10092*b37*b511 + 11310*b37*b512 + 15138*b37*b513 + 2262*
    b37*b514 + 10788*b37*b515 + 8526*b37*b516 + 14790*b37*b517 + 2958*b37*b518
     + 8874*b37*b519 + 522*b37*b520 + 7308*b37*b522 + 6264*b37*b523 + 1218*b37*
    b524 + 14616*b37*b525 + 1044*b37*b526 + 8352*b37*b529 + 10788*b37*b530 + 
    7520*b37*b534 + 8084*b37*b535 + 11092*b37*b536 + 1520*b37*b537 + 1634*b37*
    b538 + 2242*b37*b539 + 4320*b37*b540 + 4644*b37*b541 + 6372*b37*b542 + 2960
    *b37*b543 + 3182*b37*b544 + 4366*b37*b545 + 1600*b37*b549 + 1720*b37*b550
     + 2360*b37*b551 + 960*b37*b552 + 1032*b37*b553 + 1416*b37*b554 + 880*b37*
    b555 + 946*b37*b556 + 1298*b37*b557 + 5280*b37*b558 + 5676*b37*b559 + 7788*
    b37*b560 + 6720*b37*b561 + 7224*b37*b562 + 9912*b37*b563 + 6400*b37*b564 + 
    6880*b37*b565 + 9440*b37*b566 + 80*b37*b567 + 86*b37*b568 + 118*b37*b569 + 
    4400*b37*b570 + 4730*b37*b571 + 6490*b37*b572 + 720*b37*b573 + 774*b37*b574
     + 1062*b37*b575 + 1680*b37*b576 + 1806*b37*b577 + 2478*b37*b578 + 960*b37*
    b579 + 1032*b37*b580 + 1416*b37*b581 + 5200*b37*b582 + 5590*b37*b583 + 7670
    *b37*b584 + 560*b37*b585 + 602*b37*b586 + 826*b37*b587 + 1360*b37*b588 + 
    1462*b37*b589 + 2006*b37*b590 + 4080*b37*b591 + 4386*b37*b592 + 6018*b37*
    b593 + 6720*b37*b594 + 7224*b37*b595 + 9912*b37*b596 + 6960*b37*b597 + 7482
    *b37*b598 + 10266*b37*b599 + 10488*b37*b600 + 8004*b37*b601 + 8970*b37*b602
     + 12006*b37*b603 + 1794*b37*b604 + 8556*b37*b605 + 6762*b37*b606 + 11730*
    b37*b607 + 2346*b37*b608 + 7038*b37*b609 + 414*b37*b610 + 5796*b37*b612 + 
    4968*b37*b613 + 5934*b37*b614 + 966*b37*b615 + 11592*b37*b616 + 828*b37*
    b617 + 6624*b37*b620 + 8556*b37*b621 + 8142*b37*b622 + 8142*b37*b623 + 6320
    *b37*b624 + 6794*b37*b625 + 9322*b37*b626 + 3384*b38*b47 + 14288*b38*b48 + 
    3948*b38*b49 + 7520*b38*b50 + 12596*b38*b51 + 3760*b38*b52 + 7708*b38*b53
     + 15980*b38*b54 + 9776*b38*b55 + 12784*b38*b56 + 188*b38*b57 + 3948*b38*
    b58 + 7896*b38*b59 + 5452*b38*b61 + 15416*b38*b62 + 5452*b38*b63 + 564*b38*
    b64 + 564*b38*b65 + 9588*b38*b66 + 12596*b38*b67 + 7332*b38*b68 + 684*b38*
    b69 + 2888*b38*b70 + 798*b38*b71 + 1520*b38*b72 + 2546*b38*b73 + 760*b38*
    b74 + 1558*b38*b75 + 3230*b38*b76 + 1976*b38*b77 + 2584*b38*b78 + 38*b38*
    b79 + 798*b38*b80 + 1596*b38*b81 + 1102*b38*b83 + 3116*b38*b84 + 1102*b38*
    b85 + 114*b38*b86 + 114*b38*b87 + 1938*b38*b88 + 2546*b38*b89 + 1482*b38*
    b90 + 1944*b38*b91 + 8208*b38*b92 + 2268*b38*b93 + 4320*b38*b94 + 7236*b38*
    b95 + 2160*b38*b96 + 4428*b38*b97 + 9180*b38*b98 + 5616*b38*b99 + 7344*b38*
    b100 + 108*b38*b101 + 2268*b38*b102 + 4536*b38*b103 + 3132*b38*b105 + 8856*
    b38*b106 + 3132*b38*b107 + 324*b38*b108 + 324*b38*b109 + 5508*b38*b110 + 
    7236*b38*b111 + 4212*b38*b112 + 1332*b38*b113 + 5624*b38*b114 + 1554*b38*
    b115 + 2960*b38*b116 + 4958*b38*b117 + 1480*b38*b118 + 3034*b38*b119 + 6290
    *b38*b120 + 3848*b38*b121 + 5032*b38*b122 + 74*b38*b123 + 1554*b38*b124 + 
    3108*b38*b125 + 2146*b38*b127 + 6068*b38*b128 + 2146*b38*b129 + 222*b38*
    b130 + 222*b38*b131 + 3774*b38*b132 + 4958*b38*b133 + 2886*b38*b134 + 720*
    b38*b157 + 3040*b38*b158 + 840*b38*b159 + 1600*b38*b160 + 2680*b38*b161 + 
    800*b38*b162 + 1640*b38*b163 + 3400*b38*b164 + 2080*b38*b165 + 2720*b38*
    b166 + 40*b38*b167 + 840*b38*b168 + 1680*b38*b169 + 1160*b38*b171 + 3280*
    b38*b172 + 1160*b38*b173 + 120*b38*b174 + 120*b38*b175 + 2040*b38*b176 + 
    2680*b38*b177 + 1560*b38*b178 + 432*b38*b179 + 1824*b38*b180 + 504*b38*b181
     + 960*b38*b182 + 1608*b38*b183 + 480*b38*b184 + 984*b38*b185 + 2040*b38*
    b186 + 1248*b38*b187 + 1632*b38*b188 + 24*b38*b189 + 504*b38*b190 + 1008*
    b38*b191 + 696*b38*b193 + 1968*b38*b194 + 696*b38*b195 + 72*b38*b196 + 72*
    b38*b197 + 1224*b38*b198 + 1608*b38*b199 + 936*b38*b200 + 396*b38*b201 + 
    1672*b38*b202 + 462*b38*b203 + 880*b38*b204 + 1474*b38*b205 + 440*b38*b206
     + 902*b38*b207 + 1870*b38*b208 + 1144*b38*b209 + 1496*b38*b210 + 22*b38*
    b211 + 462*b38*b212 + 924*b38*b213 + 638*b38*b215 + 1804*b38*b216 + 638*b38
    *b217 + 66*b38*b218 + 66*b38*b219 + 1122*b38*b220 + 1474*b38*b221 + 858*b38
    *b222 + 2376*b38*b223 + 10032*b38*b224 + 2772*b38*b225 + 5280*b38*b226 + 
    8844*b38*b227 + 2640*b38*b228 + 5412*b38*b229 + 11220*b38*b230 + 6864*b38*
    b231 + 8976*b38*b232 + 132*b38*b233 + 2772*b38*b234 + 5544*b38*b235 + 3828*
    b38*b237 + 10824*b38*b238 + 3828*b38*b239 + 396*b38*b240 + 396*b38*b241 + 
    6732*b38*b242 + 8844*b38*b243 + 5148*b38*b244 + 3024*b38*b245 + 12768*b38*
    b246 + 3528*b38*b247 + 6720*b38*b248 + 11256*b38*b249 + 3360*b38*b250 + 
    6888*b38*b251 + 14280*b38*b252 + 8736*b38*b253 + 11424*b38*b254 + 168*b38*
    b255 + 3528*b38*b256 + 7056*b38*b257 + 4872*b38*b259 + 13776*b38*b260 + 
    4872*b38*b261 + 504*b38*b262 + 504*b38*b263 + 8568*b38*b264 + 11256*b38*
    b265 + 6552*b38*b266 + 2880*b38*b267 + 12160*b38*b268 + 3360*b38*b269 + 
    6400*b38*b270 + 10720*b38*b271 + 3200*b38*b272 + 6560*b38*b273 + 13600*b38*
    b274 + 8320*b38*b275 + 10880*b38*b276 + 160*b38*b277 + 3360*b38*b278 + 6720
    *b38*b279 + 4640*b38*b281 + 13120*b38*b282 + 4640*b38*b283 + 480*b38*b284
     + 480*b38*b285 + 8160*b38*b286 + 10720*b38*b287 + 6240*b38*b288 + 36*b38*
    b289 + 152*b38*b290 + 42*b38*b291 + 80*b38*b292 + 134*b38*b293 + 40*b38*
    b294 + 82*b38*b295 + 170*b38*b296 + 104*b38*b297 + 136*b38*b298 + 2*b38*
    b299 + 42*b38*b300 + 84*b38*b301 + 58*b38*b303 + 164*b38*b304 + 58*b38*b305
     + 6*b38*b306 + 6*b38*b307 + 102*b38*b308 + 134*b38*b309 + 78*b38*b310 + 
    1980*b38*b311 + 8360*b38*b312 + 2310*b38*b313 + 4400*b38*b314 + 7370*b38*
    b315 + 2200*b38*b316 + 4510*b38*b317 + 9350*b38*b318 + 5720*b38*b319 + 7480
    *b38*b320 + 110*b38*b321 + 2310*b38*b322 + 4620*b38*b323 + 3190*b38*b325 + 
    9020*b38*b326 + 3190*b38*b327 + 330*b38*b328 + 330*b38*b329 + 5610*b38*b330
     + 7370*b38*b331 + 4290*b38*b332 + 324*b38*b333 + 1368*b38*b334 + 378*b38*
    b335 + 720*b38*b336 + 1206*b38*b337 + 360*b38*b338 + 738*b38*b339 + 1530*
    b38*b340 + 936*b38*b341 + 1224*b38*b342 + 18*b38*b343 + 378*b38*b344 + 756*
    b38*b345 + 522*b38*b347 + 1476*b38*b348 + 522*b38*b349 + 54*b38*b350 + 54*
    b38*b351 + 918*b38*b352 + 1206*b38*b353 + 702*b38*b354 + 756*b38*b355 + 
    3192*b38*b356 + 882*b38*b357 + 1680*b38*b358 + 2814*b38*b359 + 840*b38*b360
     + 1722*b38*b361 + 3570*b38*b362 + 2184*b38*b363 + 2856*b38*b364 + 42*b38*
    b365 + 882*b38*b366 + 1764*b38*b367 + 1218*b38*b369 + 3444*b38*b370 + 1218*
    b38*b371 + 126*b38*b372 + 126*b38*b373 + 2142*b38*b374 + 2814*b38*b375 + 
    1638*b38*b376 + 432*b38*b377 + 1824*b38*b378 + 504*b38*b379 + 960*b38*b380
     + 1608*b38*b381 + 480*b38*b382 + 984*b38*b383 + 2040*b38*b384 + 1248*b38*
    b385 + 1632*b38*b386 + 24*b38*b387 + 504*b38*b388 + 1008*b38*b389 + 696*b38
    *b391 + 1968*b38*b392 + 696*b38*b393 + 72*b38*b394 + 72*b38*b395 + 1224*b38
    *b396 + 1608*b38*b397 + 936*b38*b398 + 2340*b38*b399 + 9880*b38*b400 + 2730
    *b38*b401 + 5200*b38*b402 + 8710*b38*b403 + 2600*b38*b404 + 5330*b38*b405
     + 11050*b38*b406 + 6760*b38*b407 + 8840*b38*b408 + 130*b38*b409 + 2730*b38
    *b410 + 5460*b38*b411 + 3770*b38*b413 + 10660*b38*b414 + 3770*b38*b415 + 
    390*b38*b416 + 390*b38*b417 + 6630*b38*b418 + 8710*b38*b419 + 5070*b38*b420
     + 252*b38*b421 + 1064*b38*b422 + 294*b38*b423 + 560*b38*b424 + 938*b38*
    b425 + 280*b38*b426 + 574*b38*b427 + 1190*b38*b428 + 728*b38*b429 + 952*b38
    *b430 + 14*b38*b431 + 294*b38*b432 + 588*b38*b433 + 406*b38*b435 + 1148*b38
    *b436 + 406*b38*b437 + 42*b38*b438 + 42*b38*b439 + 714*b38*b440 + 938*b38*
    b441 + 546*b38*b442 + 612*b38*b443 + 2584*b38*b444 + 714*b38*b445 + 1360*
    b38*b446 + 2278*b38*b447 + 680*b38*b448 + 1394*b38*b449 + 2890*b38*b450 + 
    1768*b38*b451 + 2312*b38*b452 + 34*b38*b453 + 714*b38*b454 + 1428*b38*b455
     + 986*b38*b457 + 2788*b38*b458 + 986*b38*b459 + 102*b38*b460 + 102*b38*
    b461 + 1734*b38*b462 + 2278*b38*b463 + 1326*b38*b464 + 1836*b38*b465 + 7752
    *b38*b466 + 2142*b38*b467 + 4080*b38*b468 + 6834*b38*b469 + 2040*b38*b470
     + 4182*b38*b471 + 8670*b38*b472 + 5304*b38*b473 + 6936*b38*b474 + 102*b38*
    b475 + 2142*b38*b476 + 4284*b38*b477 + 2958*b38*b479 + 8364*b38*b480 + 2958
    *b38*b481 + 306*b38*b482 + 306*b38*b483 + 5202*b38*b484 + 6834*b38*b485 + 
    3978*b38*b486 + 3024*b38*b487 + 12768*b38*b488 + 3528*b38*b489 + 6720*b38*
    b490 + 11256*b38*b491 + 3360*b38*b492 + 6888*b38*b493 + 14280*b38*b494 + 
    8736*b38*b495 + 11424*b38*b496 + 168*b38*b497 + 3528*b38*b498 + 7056*b38*
    b499 + 4872*b38*b501 + 13776*b38*b502 + 4872*b38*b503 + 504*b38*b504 + 504*
    b38*b505 + 8568*b38*b506 + 11256*b38*b507 + 6552*b38*b508 + 3132*b38*b509
     + 13224*b38*b510 + 3654*b38*b511 + 6960*b38*b512 + 11658*b38*b513 + 3480*
    b38*b514 + 7134*b38*b515 + 14790*b38*b516 + 9048*b38*b517 + 11832*b38*b518
     + 174*b38*b519 + 3654*b38*b520 + 7308*b38*b521 + 5046*b38*b523 + 14268*b38
    *b524 + 5046*b38*b525 + 522*b38*b526 + 522*b38*b527 + 8874*b38*b528 + 11658
    *b38*b529 + 6786*b38*b530 + 14100*b38*b534 + 17672*b38*b535 + 2820*b38*b536
     + 2850*b38*b537 + 3572*b38*b538 + 570*b38*b539 + 8100*b38*b540 + 10152*b38
    *b541 + 1620*b38*b542 + 5550*b38*b543 + 6956*b38*b544 + 1110*b38*b545 + 
    3000*b38*b549 + 3760*b38*b550 + 600*b38*b551 + 1800*b38*b552 + 2256*b38*
    b553 + 360*b38*b554 + 1650*b38*b555 + 2068*b38*b556 + 330*b38*b557 + 9900*
    b38*b558 + 12408*b38*b559 + 1980*b38*b560 + 12600*b38*b561 + 15792*b38*b562
     + 2520*b38*b563 + 12000*b38*b564 + 15040*b38*b565 + 2400*b38*b566 + 150*
    b38*b567 + 188*b38*b568 + 30*b38*b569 + 8250*b38*b570 + 10340*b38*b571 + 
    1650*b38*b572 + 1350*b38*b573 + 1692*b38*b574 + 270*b38*b575 + 3150*b38*
    b576 + 3948*b38*b577 + 630*b38*b578 + 1800*b38*b579 + 2256*b38*b580 + 360*
    b38*b581 + 9750*b38*b582 + 12220*b38*b583 + 1950*b38*b584 + 1050*b38*b585
     + 1316*b38*b586 + 210*b38*b587 + 2550*b38*b588 + 3196*b38*b589 + 510*b38*
    b590 + 7650*b38*b591 + 9588*b38*b592 + 1530*b38*b593 + 12600*b38*b594 + 
    15792*b38*b595 + 2520*b38*b596 + 13050*b38*b597 + 16356*b38*b598 + 2610*b38
    *b599 + 10488*b38*b600 + 2898*b38*b601 + 5520*b38*b602 + 9246*b38*b603 + 
    2760*b38*b604 + 5658*b38*b605 + 11730*b38*b606 + 7176*b38*b607 + 9384*b38*
    b608 + 138*b38*b609 + 2898*b38*b610 + 5796*b38*b611 + 4002*b38*b613 + 12972
    *b38*b614 + 11316*b38*b615 + 4002*b38*b616 + 414*b38*b617 + 414*b38*b618 + 
    7038*b38*b619 + 9246*b38*b620 + 5382*b38*b621 + 2070*b38*b622 + 2484*b38*
    b623 + 11850*b38*b624 + 14852*b38*b625 + 2370*b38*b626 + 14288*b39*b47 + 
    7520*b39*b48 + 14288*b39*b49 + 10152*b39*b50 + 17672*b39*b51 + 16168*b39*
    b52 + 11656*b39*b53 + 15792*b39*b54 + 6392*b39*b55 + 5076*b39*b56 + 17108*
    b39*b57 + 16920*b39*b58 + 6768*b39*b59 + 5452*b39*b60 + 7896*b39*b62 + 4324
    *b39*b63 + 11656*b39*b64 + 11656*b39*b65 + 5264*b39*b66 + 14288*b39*b67 + 
    12408*b39*b68 + 2888*b39*b69 + 1520*b39*b70 + 2888*b39*b71 + 2052*b39*b72
     + 3572*b39*b73 + 3268*b39*b74 + 2356*b39*b75 + 3192*b39*b76 + 1292*b39*b77
     + 1026*b39*b78 + 3458*b39*b79 + 3420*b39*b80 + 1368*b39*b81 + 1102*b39*b82
     + 1596*b39*b84 + 874*b39*b85 + 2356*b39*b86 + 2356*b39*b87 + 1064*b39*b88
     + 2888*b39*b89 + 2508*b39*b90 + 8208*b39*b91 + 4320*b39*b92 + 8208*b39*b93
     + 5832*b39*b94 + 10152*b39*b95 + 9288*b39*b96 + 6696*b39*b97 + 9072*b39*
    b98 + 3672*b39*b99 + 2916*b39*b100 + 9828*b39*b101 + 9720*b39*b102 + 3888*
    b39*b103 + 3132*b39*b104 + 4536*b39*b106 + 2484*b39*b107 + 6696*b39*b108 + 
    6696*b39*b109 + 3024*b39*b110 + 8208*b39*b111 + 7128*b39*b112 + 5624*b39*
    b113 + 2960*b39*b114 + 5624*b39*b115 + 3996*b39*b116 + 6956*b39*b117 + 6364
    *b39*b118 + 4588*b39*b119 + 6216*b39*b120 + 2516*b39*b121 + 1998*b39*b122
     + 6734*b39*b123 + 6660*b39*b124 + 2664*b39*b125 + 2146*b39*b126 + 3108*b39
    *b128 + 1702*b39*b129 + 4588*b39*b130 + 4588*b39*b131 + 2072*b39*b132 + 
    5624*b39*b133 + 4884*b39*b134 + 3040*b39*b157 + 1600*b39*b158 + 3040*b39*
    b159 + 2160*b39*b160 + 3760*b39*b161 + 3440*b39*b162 + 2480*b39*b163 + 3360
    *b39*b164 + 1360*b39*b165 + 1080*b39*b166 + 3640*b39*b167 + 3600*b39*b168
     + 1440*b39*b169 + 1160*b39*b170 + 1680*b39*b172 + 920*b39*b173 + 2480*b39*
    b174 + 2480*b39*b175 + 1120*b39*b176 + 3040*b39*b177 + 2640*b39*b178 + 1824
    *b39*b179 + 960*b39*b180 + 1824*b39*b181 + 1296*b39*b182 + 2256*b39*b183 + 
    2064*b39*b184 + 1488*b39*b185 + 2016*b39*b186 + 816*b39*b187 + 648*b39*b188
     + 2184*b39*b189 + 2160*b39*b190 + 864*b39*b191 + 696*b39*b192 + 1008*b39*
    b194 + 552*b39*b195 + 1488*b39*b196 + 1488*b39*b197 + 672*b39*b198 + 1824*
    b39*b199 + 1584*b39*b200 + 1672*b39*b201 + 880*b39*b202 + 1672*b39*b203 + 
    1188*b39*b204 + 2068*b39*b205 + 1892*b39*b206 + 1364*b39*b207 + 1848*b39*
    b208 + 748*b39*b209 + 594*b39*b210 + 2002*b39*b211 + 1980*b39*b212 + 792*
    b39*b213 + 638*b39*b214 + 924*b39*b216 + 506*b39*b217 + 1364*b39*b218 + 
    1364*b39*b219 + 616*b39*b220 + 1672*b39*b221 + 1452*b39*b222 + 10032*b39*
    b223 + 5280*b39*b224 + 10032*b39*b225 + 7128*b39*b226 + 12408*b39*b227 + 
    11352*b39*b228 + 8184*b39*b229 + 11088*b39*b230 + 4488*b39*b231 + 3564*b39*
    b232 + 12012*b39*b233 + 11880*b39*b234 + 4752*b39*b235 + 3828*b39*b236 + 
    5544*b39*b238 + 3036*b39*b239 + 8184*b39*b240 + 8184*b39*b241 + 3696*b39*
    b242 + 10032*b39*b243 + 8712*b39*b244 + 12768*b39*b245 + 6720*b39*b246 + 
    12768*b39*b247 + 9072*b39*b248 + 15792*b39*b249 + 14448*b39*b250 + 10416*
    b39*b251 + 14112*b39*b252 + 5712*b39*b253 + 4536*b39*b254 + 15288*b39*b255
     + 15120*b39*b256 + 6048*b39*b257 + 4872*b39*b258 + 7056*b39*b260 + 3864*
    b39*b261 + 10416*b39*b262 + 10416*b39*b263 + 4704*b39*b264 + 12768*b39*b265
     + 11088*b39*b266 + 12160*b39*b267 + 6400*b39*b268 + 12160*b39*b269 + 8640*
    b39*b270 + 15040*b39*b271 + 13760*b39*b272 + 9920*b39*b273 + 13440*b39*b274
     + 5440*b39*b275 + 4320*b39*b276 + 14560*b39*b277 + 14400*b39*b278 + 5760*
    b39*b279 + 4640*b39*b280 + 6720*b39*b282 + 3680*b39*b283 + 9920*b39*b284 + 
    9920*b39*b285 + 4480*b39*b286 + 12160*b39*b287 + 10560*b39*b288 + 152*b39*
    b289 + 80*b39*b290 + 152*b39*b291 + 108*b39*b292 + 188*b39*b293 + 172*b39*
    b294 + 124*b39*b295 + 168*b39*b296 + 68*b39*b297 + 54*b39*b298 + 182*b39*
    b299 + 180*b39*b300 + 72*b39*b301 + 58*b39*b302 + 84*b39*b304 + 46*b39*b305
     + 124*b39*b306 + 124*b39*b307 + 56*b39*b308 + 152*b39*b309 + 132*b39*b310
     + 8360*b39*b311 + 4400*b39*b312 + 8360*b39*b313 + 5940*b39*b314 + 10340*
    b39*b315 + 9460*b39*b316 + 6820*b39*b317 + 9240*b39*b318 + 3740*b39*b319 + 
    2970*b39*b320 + 10010*b39*b321 + 9900*b39*b322 + 3960*b39*b323 + 3190*b39*
    b324 + 4620*b39*b326 + 2530*b39*b327 + 6820*b39*b328 + 6820*b39*b329 + 3080
    *b39*b330 + 8360*b39*b331 + 7260*b39*b332 + 1368*b39*b333 + 720*b39*b334 + 
    1368*b39*b335 + 972*b39*b336 + 1692*b39*b337 + 1548*b39*b338 + 1116*b39*
    b339 + 1512*b39*b340 + 612*b39*b341 + 486*b39*b342 + 1638*b39*b343 + 1620*
    b39*b344 + 648*b39*b345 + 522*b39*b346 + 756*b39*b348 + 414*b39*b349 + 1116
    *b39*b350 + 1116*b39*b351 + 504*b39*b352 + 1368*b39*b353 + 1188*b39*b354 + 
    3192*b39*b355 + 1680*b39*b356 + 3192*b39*b357 + 2268*b39*b358 + 3948*b39*
    b359 + 3612*b39*b360 + 2604*b39*b361 + 3528*b39*b362 + 1428*b39*b363 + 1134
    *b39*b364 + 3822*b39*b365 + 3780*b39*b366 + 1512*b39*b367 + 1218*b39*b368
     + 1764*b39*b370 + 966*b39*b371 + 2604*b39*b372 + 2604*b39*b373 + 1176*b39*
    b374 + 3192*b39*b375 + 2772*b39*b376 + 1824*b39*b377 + 960*b39*b378 + 1824*
    b39*b379 + 1296*b39*b380 + 2256*b39*b381 + 2064*b39*b382 + 1488*b39*b383 + 
    2016*b39*b384 + 816*b39*b385 + 648*b39*b386 + 2184*b39*b387 + 2160*b39*b388
     + 864*b39*b389 + 696*b39*b390 + 1008*b39*b392 + 552*b39*b393 + 1488*b39*
    b394 + 1488*b39*b395 + 672*b39*b396 + 1824*b39*b397 + 1584*b39*b398 + 9880*
    b39*b399 + 5200*b39*b400 + 9880*b39*b401 + 7020*b39*b402 + 12220*b39*b403
     + 11180*b39*b404 + 8060*b39*b405 + 10920*b39*b406 + 4420*b39*b407 + 3510*
    b39*b408 + 11830*b39*b409 + 11700*b39*b410 + 4680*b39*b411 + 3770*b39*b412
     + 5460*b39*b414 + 2990*b39*b415 + 8060*b39*b416 + 8060*b39*b417 + 3640*b39
    *b418 + 9880*b39*b419 + 8580*b39*b420 + 1064*b39*b421 + 560*b39*b422 + 1064
    *b39*b423 + 756*b39*b424 + 1316*b39*b425 + 1204*b39*b426 + 868*b39*b427 + 
    1176*b39*b428 + 476*b39*b429 + 378*b39*b430 + 1274*b39*b431 + 1260*b39*b432
     + 504*b39*b433 + 406*b39*b434 + 588*b39*b436 + 322*b39*b437 + 868*b39*b438
     + 868*b39*b439 + 392*b39*b440 + 1064*b39*b441 + 924*b39*b442 + 2584*b39*
    b443 + 1360*b39*b444 + 2584*b39*b445 + 1836*b39*b446 + 3196*b39*b447 + 2924
    *b39*b448 + 2108*b39*b449 + 2856*b39*b450 + 1156*b39*b451 + 918*b39*b452 + 
    3094*b39*b453 + 3060*b39*b454 + 1224*b39*b455 + 986*b39*b456 + 1428*b39*
    b458 + 782*b39*b459 + 2108*b39*b460 + 2108*b39*b461 + 952*b39*b462 + 2584*
    b39*b463 + 2244*b39*b464 + 7752*b39*b465 + 4080*b39*b466 + 7752*b39*b467 + 
    5508*b39*b468 + 9588*b39*b469 + 8772*b39*b470 + 6324*b39*b471 + 8568*b39*
    b472 + 3468*b39*b473 + 2754*b39*b474 + 9282*b39*b475 + 9180*b39*b476 + 3672
    *b39*b477 + 2958*b39*b478 + 4284*b39*b480 + 2346*b39*b481 + 6324*b39*b482
     + 6324*b39*b483 + 2856*b39*b484 + 7752*b39*b485 + 6732*b39*b486 + 12768*
    b39*b487 + 6720*b39*b488 + 12768*b39*b489 + 9072*b39*b490 + 15792*b39*b491
     + 14448*b39*b492 + 10416*b39*b493 + 14112*b39*b494 + 5712*b39*b495 + 4536*
    b39*b496 + 15288*b39*b497 + 15120*b39*b498 + 6048*b39*b499 + 4872*b39*b500
     + 7056*b39*b502 + 3864*b39*b503 + 10416*b39*b504 + 10416*b39*b505 + 4704*
    b39*b506 + 12768*b39*b507 + 11088*b39*b508 + 13224*b39*b509 + 6960*b39*b510
     + 13224*b39*b511 + 9396*b39*b512 + 16356*b39*b513 + 14964*b39*b514 + 10788
    *b39*b515 + 14616*b39*b516 + 5916*b39*b517 + 4698*b39*b518 + 15834*b39*b519
     + 15660*b39*b520 + 6264*b39*b521 + 5046*b39*b522 + 7308*b39*b524 + 4002*
    b39*b525 + 10788*b39*b526 + 10788*b39*b527 + 4872*b39*b528 + 13224*b39*b529
     + 11484*b39*b530 + 14852*b39*b534 + 12408*b39*b535 + 15416*b39*b536 + 3002
    *b39*b537 + 2508*b39*b538 + 3116*b39*b539 + 8532*b39*b540 + 7128*b39*b541
     + 8856*b39*b542 + 5846*b39*b543 + 4884*b39*b544 + 6068*b39*b545 + 3160*b39
    *b549 + 2640*b39*b550 + 3280*b39*b551 + 1896*b39*b552 + 1584*b39*b553 + 
    1968*b39*b554 + 1738*b39*b555 + 1452*b39*b556 + 1804*b39*b557 + 10428*b39*
    b558 + 8712*b39*b559 + 10824*b39*b560 + 13272*b39*b561 + 11088*b39*b562 + 
    13776*b39*b563 + 12640*b39*b564 + 10560*b39*b565 + 13120*b39*b566 + 158*b39
    *b567 + 132*b39*b568 + 164*b39*b569 + 8690*b39*b570 + 7260*b39*b571 + 9020*
    b39*b572 + 1422*b39*b573 + 1188*b39*b574 + 1476*b39*b575 + 3318*b39*b576 + 
    2772*b39*b577 + 3444*b39*b578 + 1896*b39*b579 + 1584*b39*b580 + 1968*b39*
    b581 + 10270*b39*b582 + 8580*b39*b583 + 10660*b39*b584 + 1106*b39*b585 + 
    924*b39*b586 + 1148*b39*b587 + 2686*b39*b588 + 2244*b39*b589 + 2788*b39*
    b590 + 8058*b39*b591 + 6732*b39*b592 + 8364*b39*b593 + 13272*b39*b594 + 
    11088*b39*b595 + 13776*b39*b596 + 13746*b39*b597 + 11484*b39*b598 + 14268*
    b39*b599 + 5520*b39*b600 + 10488*b39*b601 + 7452*b39*b602 + 12972*b39*b603
     + 11868*b39*b604 + 8556*b39*b605 + 11592*b39*b606 + 4692*b39*b607 + 3726*
    b39*b608 + 12558*b39*b609 + 12420*b39*b610 + 4968*b39*b611 + 4002*b39*b612
     + 9108*b39*b614 + 5796*b39*b615 + 3174*b39*b616 + 8556*b39*b617 + 8556*b39
    *b618 + 3864*b39*b619 + 10488*b39*b620 + 9108*b39*b621 + 11316*b39*b622 + 
    10488*b39*b623 + 12482*b39*b624 + 10428*b39*b625 + 12956*b39*b626 + 3384*
    b40*b47 + 10528*b40*b48 + 8272*b40*b49 + 2632*b40*b50 + 376*b40*b51 + 14476
    *b40*b52 + 4700*b40*b53 + 7144*b40*b54 + 7520*b40*b55 + 1128*b40*b56 + 
    16356*b40*b57 + 8836*b40*b58 + 1316*b40*b59 + 15416*b40*b60 + 7896*b40*b61
     + 16168*b40*b63 + 11280*b40*b64 + 11656*b40*b65 + 11656*b40*b66 + 15604*
    b40*b67 + 17108*b40*b68 + 684*b40*b69 + 2128*b40*b70 + 1672*b40*b71 + 532*
    b40*b72 + 76*b40*b73 + 2926*b40*b74 + 950*b40*b75 + 1444*b40*b76 + 1520*b40
    *b77 + 228*b40*b78 + 3306*b40*b79 + 1786*b40*b80 + 266*b40*b81 + 3116*b40*
    b82 + 1596*b40*b83 + 3268*b40*b85 + 2280*b40*b86 + 2356*b40*b87 + 2356*b40*
    b88 + 3154*b40*b89 + 3458*b40*b90 + 1944*b40*b91 + 6048*b40*b92 + 4752*b40*
    b93 + 1512*b40*b94 + 216*b40*b95 + 8316*b40*b96 + 2700*b40*b97 + 4104*b40*
    b98 + 4320*b40*b99 + 648*b40*b100 + 9396*b40*b101 + 5076*b40*b102 + 756*b40
    *b103 + 8856*b40*b104 + 4536*b40*b105 + 9288*b40*b107 + 6480*b40*b108 + 
    6696*b40*b109 + 6696*b40*b110 + 8964*b40*b111 + 9828*b40*b112 + 1332*b40*
    b113 + 4144*b40*b114 + 3256*b40*b115 + 1036*b40*b116 + 148*b40*b117 + 5698*
    b40*b118 + 1850*b40*b119 + 2812*b40*b120 + 2960*b40*b121 + 444*b40*b122 + 
    6438*b40*b123 + 3478*b40*b124 + 518*b40*b125 + 6068*b40*b126 + 3108*b40*
    b127 + 6364*b40*b129 + 4440*b40*b130 + 4588*b40*b131 + 4588*b40*b132 + 6142
    *b40*b133 + 6734*b40*b134 + 720*b40*b157 + 2240*b40*b158 + 1760*b40*b159 + 
    560*b40*b160 + 80*b40*b161 + 3080*b40*b162 + 1000*b40*b163 + 1520*b40*b164
     + 1600*b40*b165 + 240*b40*b166 + 3480*b40*b167 + 1880*b40*b168 + 280*b40*
    b169 + 3280*b40*b170 + 1680*b40*b171 + 3440*b40*b173 + 2400*b40*b174 + 2480
    *b40*b175 + 2480*b40*b176 + 3320*b40*b177 + 3640*b40*b178 + 432*b40*b179 + 
    1344*b40*b180 + 1056*b40*b181 + 336*b40*b182 + 48*b40*b183 + 1848*b40*b184
     + 600*b40*b185 + 912*b40*b186 + 960*b40*b187 + 144*b40*b188 + 2088*b40*
    b189 + 1128*b40*b190 + 168*b40*b191 + 1968*b40*b192 + 1008*b40*b193 + 2064*
    b40*b195 + 1440*b40*b196 + 1488*b40*b197 + 1488*b40*b198 + 1992*b40*b199 + 
    2184*b40*b200 + 396*b40*b201 + 1232*b40*b202 + 968*b40*b203 + 308*b40*b204
     + 44*b40*b205 + 1694*b40*b206 + 550*b40*b207 + 836*b40*b208 + 880*b40*b209
     + 132*b40*b210 + 1914*b40*b211 + 1034*b40*b212 + 154*b40*b213 + 1804*b40*
    b214 + 924*b40*b215 + 1892*b40*b217 + 1320*b40*b218 + 1364*b40*b219 + 1364*
    b40*b220 + 1826*b40*b221 + 2002*b40*b222 + 2376*b40*b223 + 7392*b40*b224 + 
    5808*b40*b225 + 1848*b40*b226 + 264*b40*b227 + 10164*b40*b228 + 3300*b40*
    b229 + 5016*b40*b230 + 5280*b40*b231 + 792*b40*b232 + 11484*b40*b233 + 6204
    *b40*b234 + 924*b40*b235 + 10824*b40*b236 + 5544*b40*b237 + 11352*b40*b239
     + 7920*b40*b240 + 8184*b40*b241 + 8184*b40*b242 + 10956*b40*b243 + 12012*
    b40*b244 + 3024*b40*b245 + 9408*b40*b246 + 7392*b40*b247 + 2352*b40*b248 + 
    336*b40*b249 + 12936*b40*b250 + 4200*b40*b251 + 6384*b40*b252 + 6720*b40*
    b253 + 1008*b40*b254 + 14616*b40*b255 + 7896*b40*b256 + 1176*b40*b257 + 
    13776*b40*b258 + 7056*b40*b259 + 14448*b40*b261 + 10080*b40*b262 + 10416*
    b40*b263 + 10416*b40*b264 + 13944*b40*b265 + 15288*b40*b266 + 2880*b40*b267
     + 8960*b40*b268 + 7040*b40*b269 + 2240*b40*b270 + 320*b40*b271 + 12320*b40
    *b272 + 4000*b40*b273 + 6080*b40*b274 + 6400*b40*b275 + 960*b40*b276 + 
    13920*b40*b277 + 7520*b40*b278 + 1120*b40*b279 + 13120*b40*b280 + 6720*b40*
    b281 + 13760*b40*b283 + 9600*b40*b284 + 9920*b40*b285 + 9920*b40*b286 + 
    13280*b40*b287 + 14560*b40*b288 + 36*b40*b289 + 112*b40*b290 + 88*b40*b291
     + 28*b40*b292 + 4*b40*b293 + 154*b40*b294 + 50*b40*b295 + 76*b40*b296 + 80
    *b40*b297 + 12*b40*b298 + 174*b40*b299 + 94*b40*b300 + 14*b40*b301 + 164*
    b40*b302 + 84*b40*b303 + 172*b40*b305 + 120*b40*b306 + 124*b40*b307 + 124*
    b40*b308 + 166*b40*b309 + 182*b40*b310 + 1980*b40*b311 + 6160*b40*b312 + 
    4840*b40*b313 + 1540*b40*b314 + 220*b40*b315 + 8470*b40*b316 + 2750*b40*
    b317 + 4180*b40*b318 + 4400*b40*b319 + 660*b40*b320 + 9570*b40*b321 + 5170*
    b40*b322 + 770*b40*b323 + 9020*b40*b324 + 4620*b40*b325 + 9460*b40*b327 + 
    6600*b40*b328 + 6820*b40*b329 + 6820*b40*b330 + 9130*b40*b331 + 10010*b40*
    b332 + 324*b40*b333 + 1008*b40*b334 + 792*b40*b335 + 252*b40*b336 + 36*b40*
    b337 + 1386*b40*b338 + 450*b40*b339 + 684*b40*b340 + 720*b40*b341 + 108*b40
    *b342 + 1566*b40*b343 + 846*b40*b344 + 126*b40*b345 + 1476*b40*b346 + 756*
    b40*b347 + 1548*b40*b349 + 1080*b40*b350 + 1116*b40*b351 + 1116*b40*b352 + 
    1494*b40*b353 + 1638*b40*b354 + 756*b40*b355 + 2352*b40*b356 + 1848*b40*
    b357 + 588*b40*b358 + 84*b40*b359 + 3234*b40*b360 + 1050*b40*b361 + 1596*
    b40*b362 + 1680*b40*b363 + 252*b40*b364 + 3654*b40*b365 + 1974*b40*b366 + 
    294*b40*b367 + 3444*b40*b368 + 1764*b40*b369 + 3612*b40*b371 + 2520*b40*
    b372 + 2604*b40*b373 + 2604*b40*b374 + 3486*b40*b375 + 3822*b40*b376 + 432*
    b40*b377 + 1344*b40*b378 + 1056*b40*b379 + 336*b40*b380 + 48*b40*b381 + 
    1848*b40*b382 + 600*b40*b383 + 912*b40*b384 + 960*b40*b385 + 144*b40*b386
     + 2088*b40*b387 + 1128*b40*b388 + 168*b40*b389 + 1968*b40*b390 + 1008*b40*
    b391 + 2064*b40*b393 + 1440*b40*b394 + 1488*b40*b395 + 1488*b40*b396 + 1992
    *b40*b397 + 2184*b40*b398 + 2340*b40*b399 + 7280*b40*b400 + 5720*b40*b401
     + 1820*b40*b402 + 260*b40*b403 + 10010*b40*b404 + 3250*b40*b405 + 4940*b40
    *b406 + 5200*b40*b407 + 780*b40*b408 + 11310*b40*b409 + 6110*b40*b410 + 910
    *b40*b411 + 10660*b40*b412 + 5460*b40*b413 + 11180*b40*b415 + 7800*b40*b416
     + 8060*b40*b417 + 8060*b40*b418 + 10790*b40*b419 + 11830*b40*b420 + 252*
    b40*b421 + 784*b40*b422 + 616*b40*b423 + 196*b40*b424 + 28*b40*b425 + 1078*
    b40*b426 + 350*b40*b427 + 532*b40*b428 + 560*b40*b429 + 84*b40*b430 + 1218*
    b40*b431 + 658*b40*b432 + 98*b40*b433 + 1148*b40*b434 + 588*b40*b435 + 1204
    *b40*b437 + 840*b40*b438 + 868*b40*b439 + 868*b40*b440 + 1162*b40*b441 + 
    1274*b40*b442 + 612*b40*b443 + 1904*b40*b444 + 1496*b40*b445 + 476*b40*b446
     + 68*b40*b447 + 2618*b40*b448 + 850*b40*b449 + 1292*b40*b450 + 1360*b40*
    b451 + 204*b40*b452 + 2958*b40*b453 + 1598*b40*b454 + 238*b40*b455 + 2788*
    b40*b456 + 1428*b40*b457 + 2924*b40*b459 + 2040*b40*b460 + 2108*b40*b461 + 
    2108*b40*b462 + 2822*b40*b463 + 3094*b40*b464 + 1836*b40*b465 + 5712*b40*
    b466 + 4488*b40*b467 + 1428*b40*b468 + 204*b40*b469 + 7854*b40*b470 + 2550*
    b40*b471 + 3876*b40*b472 + 4080*b40*b473 + 612*b40*b474 + 8874*b40*b475 + 
    4794*b40*b476 + 714*b40*b477 + 8364*b40*b478 + 4284*b40*b479 + 8772*b40*
    b481 + 6120*b40*b482 + 6324*b40*b483 + 6324*b40*b484 + 8466*b40*b485 + 9282
    *b40*b486 + 3024*b40*b487 + 9408*b40*b488 + 7392*b40*b489 + 2352*b40*b490
     + 336*b40*b491 + 12936*b40*b492 + 4200*b40*b493 + 6384*b40*b494 + 6720*b40
    *b495 + 1008*b40*b496 + 14616*b40*b497 + 7896*b40*b498 + 1176*b40*b499 + 
    13776*b40*b500 + 7056*b40*b501 + 14448*b40*b503 + 10080*b40*b504 + 10416*
    b40*b505 + 10416*b40*b506 + 13944*b40*b507 + 15288*b40*b508 + 3132*b40*b509
     + 9744*b40*b510 + 7656*b40*b511 + 2436*b40*b512 + 348*b40*b513 + 13398*b40
    *b514 + 4350*b40*b515 + 6612*b40*b516 + 6960*b40*b517 + 1044*b40*b518 + 
    15138*b40*b519 + 8178*b40*b520 + 1218*b40*b521 + 14268*b40*b522 + 7308*b40*
    b523 + 14964*b40*b525 + 10440*b40*b526 + 10788*b40*b527 + 10788*b40*b528 + 
    14442*b40*b529 + 15834*b40*b530 + 16732*b40*b534 + 18424*b40*b535 + 10716*
    b40*b536 + 3382*b40*b537 + 3724*b40*b538 + 2166*b40*b539 + 9612*b40*b540 + 
    10584*b40*b541 + 6156*b40*b542 + 6586*b40*b543 + 7252*b40*b544 + 4218*b40*
    b545 + 3560*b40*b549 + 3920*b40*b550 + 2280*b40*b551 + 2136*b40*b552 + 2352
    *b40*b553 + 1368*b40*b554 + 1958*b40*b555 + 2156*b40*b556 + 1254*b40*b557
     + 11748*b40*b558 + 12936*b40*b559 + 7524*b40*b560 + 14952*b40*b561 + 16464
    *b40*b562 + 9576*b40*b563 + 14240*b40*b564 + 15680*b40*b565 + 9120*b40*b566
     + 178*b40*b567 + 196*b40*b568 + 114*b40*b569 + 9790*b40*b570 + 10780*b40*
    b571 + 6270*b40*b572 + 1602*b40*b573 + 1764*b40*b574 + 1026*b40*b575 + 3738
    *b40*b576 + 4116*b40*b577 + 2394*b40*b578 + 2136*b40*b579 + 2352*b40*b580
     + 1368*b40*b581 + 11570*b40*b582 + 12740*b40*b583 + 7410*b40*b584 + 1246*
    b40*b585 + 1372*b40*b586 + 798*b40*b587 + 3026*b40*b588 + 3332*b40*b589 + 
    1938*b40*b590 + 9078*b40*b591 + 9996*b40*b592 + 5814*b40*b593 + 14952*b40*
    b594 + 16464*b40*b595 + 9576*b40*b596 + 15486*b40*b597 + 17052*b40*b598 + 
    9918*b40*b599 + 7728*b40*b600 + 6072*b40*b601 + 1932*b40*b602 + 276*b40*
    b603 + 10626*b40*b604 + 3450*b40*b605 + 5244*b40*b606 + 5520*b40*b607 + 828
    *b40*b608 + 12006*b40*b609 + 6486*b40*b610 + 966*b40*b611 + 11316*b40*b612
     + 5796*b40*b613 + 13524*b40*b614 + 11868*b40*b616 + 8280*b40*b617 + 8556*
    b40*b618 + 8556*b40*b619 + 11454*b40*b620 + 12558*b40*b621 + 7866*b40*b622
     + 2484*b40*b623 + 14062*b40*b624 + 15484*b40*b625 + 9006*b40*b626 + 10716*
    b41*b47 + 188*b41*b48 + 15980*b41*b49 + 13348*b41*b50 + 1880*b41*b51 + 2820
    *b41*b52 + 14100*b41*b53 + 7708*b41*b54 + 12972*b41*b55 + 12596*b41*b56 + 
    13536*b41*b57 + 4700*b41*b58 + 15792*b41*b59 + 5452*b41*b60 + 4324*b41*b61
     + 16168*b41*b62 + 11656*b41*b64 + 6768*b41*b65 + 376*b41*b66 + 376*b41*b67
     + 8084*b41*b68 + 2166*b41*b69 + 38*b41*b70 + 3230*b41*b71 + 2698*b41*b72
     + 380*b41*b73 + 570*b41*b74 + 2850*b41*b75 + 1558*b41*b76 + 2622*b41*b77
     + 2546*b41*b78 + 2736*b41*b79 + 950*b41*b80 + 3192*b41*b81 + 1102*b41*b82
     + 874*b41*b83 + 3268*b41*b84 + 2356*b41*b86 + 1368*b41*b87 + 76*b41*b88 + 
    76*b41*b89 + 1634*b41*b90 + 6156*b41*b91 + 108*b41*b92 + 9180*b41*b93 + 
    7668*b41*b94 + 1080*b41*b95 + 1620*b41*b96 + 8100*b41*b97 + 4428*b41*b98 + 
    7452*b41*b99 + 7236*b41*b100 + 7776*b41*b101 + 2700*b41*b102 + 9072*b41*
    b103 + 3132*b41*b104 + 2484*b41*b105 + 9288*b41*b106 + 6696*b41*b108 + 3888
    *b41*b109 + 216*b41*b110 + 216*b41*b111 + 4644*b41*b112 + 4218*b41*b113 + 
    74*b41*b114 + 6290*b41*b115 + 5254*b41*b116 + 740*b41*b117 + 1110*b41*b118
     + 5550*b41*b119 + 3034*b41*b120 + 5106*b41*b121 + 4958*b41*b122 + 5328*b41
    *b123 + 1850*b41*b124 + 6216*b41*b125 + 2146*b41*b126 + 1702*b41*b127 + 
    6364*b41*b128 + 4588*b41*b130 + 2664*b41*b131 + 148*b41*b132 + 148*b41*b133
     + 3182*b41*b134 + 2280*b41*b157 + 40*b41*b158 + 3400*b41*b159 + 2840*b41*
    b160 + 400*b41*b161 + 600*b41*b162 + 3000*b41*b163 + 1640*b41*b164 + 2760*
    b41*b165 + 2680*b41*b166 + 2880*b41*b167 + 1000*b41*b168 + 3360*b41*b169 + 
    1160*b41*b170 + 920*b41*b171 + 3440*b41*b172 + 2480*b41*b174 + 1440*b41*
    b175 + 80*b41*b176 + 80*b41*b177 + 1720*b41*b178 + 1368*b41*b179 + 24*b41*
    b180 + 2040*b41*b181 + 1704*b41*b182 + 240*b41*b183 + 360*b41*b184 + 1800*
    b41*b185 + 984*b41*b186 + 1656*b41*b187 + 1608*b41*b188 + 1728*b41*b189 + 
    600*b41*b190 + 2016*b41*b191 + 696*b41*b192 + 552*b41*b193 + 2064*b41*b194
     + 1488*b41*b196 + 864*b41*b197 + 48*b41*b198 + 48*b41*b199 + 1032*b41*b200
     + 1254*b41*b201 + 22*b41*b202 + 1870*b41*b203 + 1562*b41*b204 + 220*b41*
    b205 + 330*b41*b206 + 1650*b41*b207 + 902*b41*b208 + 1518*b41*b209 + 1474*
    b41*b210 + 1584*b41*b211 + 550*b41*b212 + 1848*b41*b213 + 638*b41*b214 + 
    506*b41*b215 + 1892*b41*b216 + 1364*b41*b218 + 792*b41*b219 + 44*b41*b220
     + 44*b41*b221 + 946*b41*b222 + 7524*b41*b223 + 132*b41*b224 + 11220*b41*
    b225 + 9372*b41*b226 + 1320*b41*b227 + 1980*b41*b228 + 9900*b41*b229 + 5412
    *b41*b230 + 9108*b41*b231 + 8844*b41*b232 + 9504*b41*b233 + 3300*b41*b234
     + 11088*b41*b235 + 3828*b41*b236 + 3036*b41*b237 + 11352*b41*b238 + 8184*
    b41*b240 + 4752*b41*b241 + 264*b41*b242 + 264*b41*b243 + 5676*b41*b244 + 
    9576*b41*b245 + 168*b41*b246 + 14280*b41*b247 + 11928*b41*b248 + 1680*b41*
    b249 + 2520*b41*b250 + 12600*b41*b251 + 6888*b41*b252 + 11592*b41*b253 + 
    11256*b41*b254 + 12096*b41*b255 + 4200*b41*b256 + 14112*b41*b257 + 4872*b41
    *b258 + 3864*b41*b259 + 14448*b41*b260 + 10416*b41*b262 + 6048*b41*b263 + 
    336*b41*b264 + 336*b41*b265 + 7224*b41*b266 + 9120*b41*b267 + 160*b41*b268
     + 13600*b41*b269 + 11360*b41*b270 + 1600*b41*b271 + 2400*b41*b272 + 12000*
    b41*b273 + 6560*b41*b274 + 11040*b41*b275 + 10720*b41*b276 + 11520*b41*b277
     + 4000*b41*b278 + 13440*b41*b279 + 4640*b41*b280 + 3680*b41*b281 + 13760*
    b41*b282 + 9920*b41*b284 + 5760*b41*b285 + 320*b41*b286 + 320*b41*b287 + 
    6880*b41*b288 + 114*b41*b289 + 2*b41*b290 + 170*b41*b291 + 142*b41*b292 + 
    20*b41*b293 + 30*b41*b294 + 150*b41*b295 + 82*b41*b296 + 138*b41*b297 + 134
    *b41*b298 + 144*b41*b299 + 50*b41*b300 + 168*b41*b301 + 58*b41*b302 + 46*
    b41*b303 + 172*b41*b304 + 124*b41*b306 + 72*b41*b307 + 4*b41*b308 + 4*b41*
    b309 + 86*b41*b310 + 6270*b41*b311 + 110*b41*b312 + 9350*b41*b313 + 7810*
    b41*b314 + 1100*b41*b315 + 1650*b41*b316 + 8250*b41*b317 + 4510*b41*b318 + 
    7590*b41*b319 + 7370*b41*b320 + 7920*b41*b321 + 2750*b41*b322 + 9240*b41*
    b323 + 3190*b41*b324 + 2530*b41*b325 + 9460*b41*b326 + 6820*b41*b328 + 3960
    *b41*b329 + 220*b41*b330 + 220*b41*b331 + 4730*b41*b332 + 1026*b41*b333 + 
    18*b41*b334 + 1530*b41*b335 + 1278*b41*b336 + 180*b41*b337 + 270*b41*b338
     + 1350*b41*b339 + 738*b41*b340 + 1242*b41*b341 + 1206*b41*b342 + 1296*b41*
    b343 + 450*b41*b344 + 1512*b41*b345 + 522*b41*b346 + 414*b41*b347 + 1548*
    b41*b348 + 1116*b41*b350 + 648*b41*b351 + 36*b41*b352 + 36*b41*b353 + 774*
    b41*b354 + 2394*b41*b355 + 42*b41*b356 + 3570*b41*b357 + 2982*b41*b358 + 
    420*b41*b359 + 630*b41*b360 + 3150*b41*b361 + 1722*b41*b362 + 2898*b41*b363
     + 2814*b41*b364 + 3024*b41*b365 + 1050*b41*b366 + 3528*b41*b367 + 1218*b41
    *b368 + 966*b41*b369 + 3612*b41*b370 + 2604*b41*b372 + 1512*b41*b373 + 84*
    b41*b374 + 84*b41*b375 + 1806*b41*b376 + 1368*b41*b377 + 24*b41*b378 + 2040
    *b41*b379 + 1704*b41*b380 + 240*b41*b381 + 360*b41*b382 + 1800*b41*b383 + 
    984*b41*b384 + 1656*b41*b385 + 1608*b41*b386 + 1728*b41*b387 + 600*b41*b388
     + 2016*b41*b389 + 696*b41*b390 + 552*b41*b391 + 2064*b41*b392 + 1488*b41*
    b394 + 864*b41*b395 + 48*b41*b396 + 48*b41*b397 + 1032*b41*b398 + 7410*b41*
    b399 + 130*b41*b400 + 11050*b41*b401 + 9230*b41*b402 + 1300*b41*b403 + 1950
    *b41*b404 + 9750*b41*b405 + 5330*b41*b406 + 8970*b41*b407 + 8710*b41*b408
     + 9360*b41*b409 + 3250*b41*b410 + 10920*b41*b411 + 3770*b41*b412 + 2990*
    b41*b413 + 11180*b41*b414 + 8060*b41*b416 + 4680*b41*b417 + 260*b41*b418 + 
    260*b41*b419 + 5590*b41*b420 + 798*b41*b421 + 14*b41*b422 + 1190*b41*b423
     + 994*b41*b424 + 140*b41*b425 + 210*b41*b426 + 1050*b41*b427 + 574*b41*
    b428 + 966*b41*b429 + 938*b41*b430 + 1008*b41*b431 + 350*b41*b432 + 1176*
    b41*b433 + 406*b41*b434 + 322*b41*b435 + 1204*b41*b436 + 868*b41*b438 + 504
    *b41*b439 + 28*b41*b440 + 28*b41*b441 + 602*b41*b442 + 1938*b41*b443 + 34*
    b41*b444 + 2890*b41*b445 + 2414*b41*b446 + 340*b41*b447 + 510*b41*b448 + 
    2550*b41*b449 + 1394*b41*b450 + 2346*b41*b451 + 2278*b41*b452 + 2448*b41*
    b453 + 850*b41*b454 + 2856*b41*b455 + 986*b41*b456 + 782*b41*b457 + 2924*
    b41*b458 + 2108*b41*b460 + 1224*b41*b461 + 68*b41*b462 + 68*b41*b463 + 1462
    *b41*b464 + 5814*b41*b465 + 102*b41*b466 + 8670*b41*b467 + 7242*b41*b468 + 
    1020*b41*b469 + 1530*b41*b470 + 7650*b41*b471 + 4182*b41*b472 + 7038*b41*
    b473 + 6834*b41*b474 + 7344*b41*b475 + 2550*b41*b476 + 8568*b41*b477 + 2958
    *b41*b478 + 2346*b41*b479 + 8772*b41*b480 + 6324*b41*b482 + 3672*b41*b483
     + 204*b41*b484 + 204*b41*b485 + 4386*b41*b486 + 9576*b41*b487 + 168*b41*
    b488 + 14280*b41*b489 + 11928*b41*b490 + 1680*b41*b491 + 2520*b41*b492 + 
    12600*b41*b493 + 6888*b41*b494 + 11592*b41*b495 + 11256*b41*b496 + 12096*
    b41*b497 + 4200*b41*b498 + 14112*b41*b499 + 4872*b41*b500 + 3864*b41*b501
     + 14448*b41*b502 + 10416*b41*b504 + 6048*b41*b505 + 336*b41*b506 + 336*b41
    *b507 + 7224*b41*b508 + 9918*b41*b509 + 174*b41*b510 + 14790*b41*b511 + 
    12354*b41*b512 + 1740*b41*b513 + 2610*b41*b514 + 13050*b41*b515 + 7134*b41*
    b516 + 12006*b41*b517 + 11658*b41*b518 + 12528*b41*b519 + 4350*b41*b520 + 
    14616*b41*b521 + 5046*b41*b522 + 4002*b41*b523 + 14964*b41*b524 + 10788*b41
    *b526 + 6264*b41*b527 + 348*b41*b528 + 348*b41*b529 + 7482*b41*b530 + 6580*
    b41*b534 + 6580*b41*b535 + 12220*b41*b536 + 1330*b41*b537 + 1330*b41*b538
     + 2470*b41*b539 + 3780*b41*b540 + 3780*b41*b541 + 7020*b41*b542 + 2590*b41
    *b543 + 2590*b41*b544 + 4810*b41*b545 + 1400*b41*b549 + 1400*b41*b550 + 
    2600*b41*b551 + 840*b41*b552 + 840*b41*b553 + 1560*b41*b554 + 770*b41*b555
     + 770*b41*b556 + 1430*b41*b557 + 4620*b41*b558 + 4620*b41*b559 + 8580*b41*
    b560 + 5880*b41*b561 + 5880*b41*b562 + 10920*b41*b563 + 5600*b41*b564 + 
    5600*b41*b565 + 10400*b41*b566 + 70*b41*b567 + 70*b41*b568 + 130*b41*b569
     + 3850*b41*b570 + 3850*b41*b571 + 7150*b41*b572 + 630*b41*b573 + 630*b41*
    b574 + 1170*b41*b575 + 1470*b41*b576 + 1470*b41*b577 + 2730*b41*b578 + 840*
    b41*b579 + 840*b41*b580 + 1560*b41*b581 + 4550*b41*b582 + 4550*b41*b583 + 
    8450*b41*b584 + 490*b41*b585 + 490*b41*b586 + 910*b41*b587 + 1190*b41*b588
     + 1190*b41*b589 + 2210*b41*b590 + 3570*b41*b591 + 3570*b41*b592 + 6630*b41
    *b593 + 5880*b41*b594 + 5880*b41*b595 + 10920*b41*b596 + 6090*b41*b597 + 
    6090*b41*b598 + 11310*b41*b599 + 138*b41*b600 + 11730*b41*b601 + 9798*b41*
    b602 + 1380*b41*b603 + 2070*b41*b604 + 10350*b41*b605 + 5658*b41*b606 + 
    9522*b41*b607 + 9246*b41*b608 + 9936*b41*b609 + 3450*b41*b610 + 11592*b41*
    b611 + 4002*b41*b612 + 3174*b41*b613 + 4830*b41*b614 + 11868*b41*b615 + 
    8556*b41*b617 + 4968*b41*b618 + 276*b41*b619 + 276*b41*b620 + 5934*b41*b621
     + 8970*b41*b622 + 7866*b41*b623 + 5530*b41*b624 + 5530*b41*b625 + 10270*
    b41*b626 + 6768*b42*b47 + 9400*b42*b48 + 17672*b42*b49 + 14476*b42*b50 + 
    18612*b42*b51 + 16732*b42*b52 + 14288*b42*b53 + 10528*b42*b54 + 2256*b42*
    b55 + 4888*b42*b56 + 8460*b42*b57 + 5640*b42*b58 + 1128*b42*b59 + 564*b42*
    b60 + 11656*b42*b61 + 11280*b42*b62 + 11656*b42*b63 + 6956*b42*b65 + 9212*
    b42*b66 + 11468*b42*b67 + 940*b42*b68 + 1368*b42*b69 + 1900*b42*b70 + 3572*
    b42*b71 + 2926*b42*b72 + 3762*b42*b73 + 3382*b42*b74 + 2888*b42*b75 + 2128*
    b42*b76 + 456*b42*b77 + 988*b42*b78 + 1710*b42*b79 + 1140*b42*b80 + 228*b42
    *b81 + 114*b42*b82 + 2356*b42*b83 + 2280*b42*b84 + 2356*b42*b85 + 1406*b42*
    b87 + 1862*b42*b88 + 2318*b42*b89 + 190*b42*b90 + 3888*b42*b91 + 5400*b42*
    b92 + 10152*b42*b93 + 8316*b42*b94 + 10692*b42*b95 + 9612*b42*b96 + 8208*
    b42*b97 + 6048*b42*b98 + 1296*b42*b99 + 2808*b42*b100 + 4860*b42*b101 + 
    3240*b42*b102 + 648*b42*b103 + 324*b42*b104 + 6696*b42*b105 + 6480*b42*b106
     + 6696*b42*b107 + 3996*b42*b109 + 5292*b42*b110 + 6588*b42*b111 + 540*b42*
    b112 + 2664*b42*b113 + 3700*b42*b114 + 6956*b42*b115 + 5698*b42*b116 + 7326
    *b42*b117 + 6586*b42*b118 + 5624*b42*b119 + 4144*b42*b120 + 888*b42*b121 + 
    1924*b42*b122 + 3330*b42*b123 + 2220*b42*b124 + 444*b42*b125 + 222*b42*b126
     + 4588*b42*b127 + 4440*b42*b128 + 4588*b42*b129 + 2738*b42*b131 + 3626*b42
    *b132 + 4514*b42*b133 + 370*b42*b134 + 1440*b42*b157 + 2000*b42*b158 + 3760
    *b42*b159 + 3080*b42*b160 + 3960*b42*b161 + 3560*b42*b162 + 3040*b42*b163
     + 2240*b42*b164 + 480*b42*b165 + 1040*b42*b166 + 1800*b42*b167 + 1200*b42*
    b168 + 240*b42*b169 + 120*b42*b170 + 2480*b42*b171 + 2400*b42*b172 + 2480*
    b42*b173 + 1480*b42*b175 + 1960*b42*b176 + 2440*b42*b177 + 200*b42*b178 + 
    864*b42*b179 + 1200*b42*b180 + 2256*b42*b181 + 1848*b42*b182 + 2376*b42*
    b183 + 2136*b42*b184 + 1824*b42*b185 + 1344*b42*b186 + 288*b42*b187 + 624*
    b42*b188 + 1080*b42*b189 + 720*b42*b190 + 144*b42*b191 + 72*b42*b192 + 1488
    *b42*b193 + 1440*b42*b194 + 1488*b42*b195 + 888*b42*b197 + 1176*b42*b198 + 
    1464*b42*b199 + 120*b42*b200 + 792*b42*b201 + 1100*b42*b202 + 2068*b42*b203
     + 1694*b42*b204 + 2178*b42*b205 + 1958*b42*b206 + 1672*b42*b207 + 1232*b42
    *b208 + 264*b42*b209 + 572*b42*b210 + 990*b42*b211 + 660*b42*b212 + 132*b42
    *b213 + 66*b42*b214 + 1364*b42*b215 + 1320*b42*b216 + 1364*b42*b217 + 814*
    b42*b219 + 1078*b42*b220 + 1342*b42*b221 + 110*b42*b222 + 4752*b42*b223 + 
    6600*b42*b224 + 12408*b42*b225 + 10164*b42*b226 + 13068*b42*b227 + 11748*
    b42*b228 + 10032*b42*b229 + 7392*b42*b230 + 1584*b42*b231 + 3432*b42*b232
     + 5940*b42*b233 + 3960*b42*b234 + 792*b42*b235 + 396*b42*b236 + 8184*b42*
    b237 + 7920*b42*b238 + 8184*b42*b239 + 4884*b42*b241 + 6468*b42*b242 + 8052
    *b42*b243 + 660*b42*b244 + 6048*b42*b245 + 8400*b42*b246 + 15792*b42*b247
     + 12936*b42*b248 + 16632*b42*b249 + 14952*b42*b250 + 12768*b42*b251 + 9408
    *b42*b252 + 2016*b42*b253 + 4368*b42*b254 + 7560*b42*b255 + 5040*b42*b256
     + 1008*b42*b257 + 504*b42*b258 + 10416*b42*b259 + 10080*b42*b260 + 10416*
    b42*b261 + 6216*b42*b263 + 8232*b42*b264 + 10248*b42*b265 + 840*b42*b266 + 
    5760*b42*b267 + 8000*b42*b268 + 15040*b42*b269 + 12320*b42*b270 + 15840*b42
    *b271 + 14240*b42*b272 + 12160*b42*b273 + 8960*b42*b274 + 1920*b42*b275 + 
    4160*b42*b276 + 7200*b42*b277 + 4800*b42*b278 + 960*b42*b279 + 480*b42*b280
     + 9920*b42*b281 + 9600*b42*b282 + 9920*b42*b283 + 5920*b42*b285 + 7840*b42
    *b286 + 9760*b42*b287 + 800*b42*b288 + 72*b42*b289 + 100*b42*b290 + 188*b42
    *b291 + 154*b42*b292 + 198*b42*b293 + 178*b42*b294 + 152*b42*b295 + 112*b42
    *b296 + 24*b42*b297 + 52*b42*b298 + 90*b42*b299 + 60*b42*b300 + 12*b42*b301
     + 6*b42*b302 + 124*b42*b303 + 120*b42*b304 + 124*b42*b305 + 74*b42*b307 + 
    98*b42*b308 + 122*b42*b309 + 10*b42*b310 + 3960*b42*b311 + 5500*b42*b312 + 
    10340*b42*b313 + 8470*b42*b314 + 10890*b42*b315 + 9790*b42*b316 + 8360*b42*
    b317 + 6160*b42*b318 + 1320*b42*b319 + 2860*b42*b320 + 4950*b42*b321 + 3300
    *b42*b322 + 660*b42*b323 + 330*b42*b324 + 6820*b42*b325 + 6600*b42*b326 + 
    6820*b42*b327 + 4070*b42*b329 + 5390*b42*b330 + 6710*b42*b331 + 550*b42*
    b332 + 648*b42*b333 + 900*b42*b334 + 1692*b42*b335 + 1386*b42*b336 + 1782*
    b42*b337 + 1602*b42*b338 + 1368*b42*b339 + 1008*b42*b340 + 216*b42*b341 + 
    468*b42*b342 + 810*b42*b343 + 540*b42*b344 + 108*b42*b345 + 54*b42*b346 + 
    1116*b42*b347 + 1080*b42*b348 + 1116*b42*b349 + 666*b42*b351 + 882*b42*b352
     + 1098*b42*b353 + 90*b42*b354 + 1512*b42*b355 + 2100*b42*b356 + 3948*b42*
    b357 + 3234*b42*b358 + 4158*b42*b359 + 3738*b42*b360 + 3192*b42*b361 + 2352
    *b42*b362 + 504*b42*b363 + 1092*b42*b364 + 1890*b42*b365 + 1260*b42*b366 + 
    252*b42*b367 + 126*b42*b368 + 2604*b42*b369 + 2520*b42*b370 + 2604*b42*b371
     + 1554*b42*b373 + 2058*b42*b374 + 2562*b42*b375 + 210*b42*b376 + 864*b42*
    b377 + 1200*b42*b378 + 2256*b42*b379 + 1848*b42*b380 + 2376*b42*b381 + 2136
    *b42*b382 + 1824*b42*b383 + 1344*b42*b384 + 288*b42*b385 + 624*b42*b386 + 
    1080*b42*b387 + 720*b42*b388 + 144*b42*b389 + 72*b42*b390 + 1488*b42*b391
     + 1440*b42*b392 + 1488*b42*b393 + 888*b42*b395 + 1176*b42*b396 + 1464*b42*
    b397 + 120*b42*b398 + 4680*b42*b399 + 6500*b42*b400 + 12220*b42*b401 + 
    10010*b42*b402 + 12870*b42*b403 + 11570*b42*b404 + 9880*b42*b405 + 7280*b42
    *b406 + 1560*b42*b407 + 3380*b42*b408 + 5850*b42*b409 + 3900*b42*b410 + 780
    *b42*b411 + 390*b42*b412 + 8060*b42*b413 + 7800*b42*b414 + 8060*b42*b415 + 
    4810*b42*b417 + 6370*b42*b418 + 7930*b42*b419 + 650*b42*b420 + 504*b42*b421
     + 700*b42*b422 + 1316*b42*b423 + 1078*b42*b424 + 1386*b42*b425 + 1246*b42*
    b426 + 1064*b42*b427 + 784*b42*b428 + 168*b42*b429 + 364*b42*b430 + 630*b42
    *b431 + 420*b42*b432 + 84*b42*b433 + 42*b42*b434 + 868*b42*b435 + 840*b42*
    b436 + 868*b42*b437 + 518*b42*b439 + 686*b42*b440 + 854*b42*b441 + 70*b42*
    b442 + 1224*b42*b443 + 1700*b42*b444 + 3196*b42*b445 + 2618*b42*b446 + 3366
    *b42*b447 + 3026*b42*b448 + 2584*b42*b449 + 1904*b42*b450 + 408*b42*b451 + 
    884*b42*b452 + 1530*b42*b453 + 1020*b42*b454 + 204*b42*b455 + 102*b42*b456
     + 2108*b42*b457 + 2040*b42*b458 + 2108*b42*b459 + 1258*b42*b461 + 1666*b42
    *b462 + 2074*b42*b463 + 170*b42*b464 + 3672*b42*b465 + 5100*b42*b466 + 9588
    *b42*b467 + 7854*b42*b468 + 10098*b42*b469 + 9078*b42*b470 + 7752*b42*b471
     + 5712*b42*b472 + 1224*b42*b473 + 2652*b42*b474 + 4590*b42*b475 + 3060*b42
    *b476 + 612*b42*b477 + 306*b42*b478 + 6324*b42*b479 + 6120*b42*b480 + 6324*
    b42*b481 + 3774*b42*b483 + 4998*b42*b484 + 6222*b42*b485 + 510*b42*b486 + 
    6048*b42*b487 + 8400*b42*b488 + 15792*b42*b489 + 12936*b42*b490 + 16632*b42
    *b491 + 14952*b42*b492 + 12768*b42*b493 + 9408*b42*b494 + 2016*b42*b495 + 
    4368*b42*b496 + 7560*b42*b497 + 5040*b42*b498 + 1008*b42*b499 + 504*b42*
    b500 + 10416*b42*b501 + 10080*b42*b502 + 10416*b42*b503 + 6216*b42*b505 + 
    8232*b42*b506 + 10248*b42*b507 + 840*b42*b508 + 6264*b42*b509 + 8700*b42*
    b510 + 16356*b42*b511 + 13398*b42*b512 + 17226*b42*b513 + 15486*b42*b514 + 
    13224*b42*b515 + 9744*b42*b516 + 2088*b42*b517 + 4524*b42*b518 + 7830*b42*
    b519 + 5220*b42*b520 + 1044*b42*b521 + 522*b42*b522 + 10788*b42*b523 + 
    10440*b42*b524 + 10788*b42*b525 + 6438*b42*b527 + 8526*b42*b528 + 10614*b42
    *b529 + 870*b42*b530 + 1692*b42*b534 + 2820*b42*b535 + 6392*b42*b536 + 342*
    b42*b537 + 570*b42*b538 + 1292*b42*b539 + 972*b42*b540 + 1620*b42*b541 + 
    3672*b42*b542 + 666*b42*b543 + 1110*b42*b544 + 2516*b42*b545 + 360*b42*b549
     + 600*b42*b550 + 1360*b42*b551 + 216*b42*b552 + 360*b42*b553 + 816*b42*
    b554 + 198*b42*b555 + 330*b42*b556 + 748*b42*b557 + 1188*b42*b558 + 1980*
    b42*b559 + 4488*b42*b560 + 1512*b42*b561 + 2520*b42*b562 + 5712*b42*b563 + 
    1440*b42*b564 + 2400*b42*b565 + 5440*b42*b566 + 18*b42*b567 + 30*b42*b568
     + 68*b42*b569 + 990*b42*b570 + 1650*b42*b571 + 3740*b42*b572 + 162*b42*
    b573 + 270*b42*b574 + 612*b42*b575 + 378*b42*b576 + 630*b42*b577 + 1428*b42
    *b578 + 216*b42*b579 + 360*b42*b580 + 816*b42*b581 + 1170*b42*b582 + 1950*
    b42*b583 + 4420*b42*b584 + 126*b42*b585 + 210*b42*b586 + 476*b42*b587 + 306
    *b42*b588 + 510*b42*b589 + 1156*b42*b590 + 918*b42*b591 + 1530*b42*b592 + 
    3468*b42*b593 + 1512*b42*b594 + 2520*b42*b595 + 5712*b42*b596 + 1566*b42*
    b597 + 2610*b42*b598 + 5916*b42*b599 + 6900*b42*b600 + 12972*b42*b601 + 
    10626*b42*b602 + 13662*b42*b603 + 12282*b42*b604 + 10488*b42*b605 + 7728*
    b42*b606 + 1656*b42*b607 + 3588*b42*b608 + 6210*b42*b609 + 4140*b42*b610 + 
    828*b42*b611 + 414*b42*b612 + 8556*b42*b613 + 2070*b42*b614 + 8280*b42*b615
     + 8556*b42*b616 + 5106*b42*b618 + 6762*b42*b619 + 8418*b42*b620 + 690*b42*
    b621 + 4692*b42*b622 + 4968*b42*b623 + 1422*b42*b624 + 2370*b42*b625 + 5372
    *b42*b626 + 11468*b43*b47 + 752*b43*b48 + 16920*b43*b49 + 6768*b43*b50 + 
    10528*b43*b51 + 9024*b43*b52 + 7520*b43*b53 + 7332*b43*b54 + 15980*b43*b55
     + 15416*b43*b56 + 18048*b43*b57 + 8084*b43*b58 + 564*b43*b60 + 11656*b43*
    b61 + 11656*b43*b62 + 6768*b43*b63 + 6956*b43*b64 + 9964*b43*b66 + 18048*
    b43*b67 + 15416*b43*b68 + 2318*b43*b69 + 152*b43*b70 + 3420*b43*b71 + 1368*
    b43*b72 + 2128*b43*b73 + 1824*b43*b74 + 1520*b43*b75 + 1482*b43*b76 + 3230*
    b43*b77 + 3116*b43*b78 + 3648*b43*b79 + 1634*b43*b80 + 114*b43*b82 + 2356*
    b43*b83 + 2356*b43*b84 + 1368*b43*b85 + 1406*b43*b86 + 2014*b43*b88 + 3648*
    b43*b89 + 3116*b43*b90 + 6588*b43*b91 + 432*b43*b92 + 9720*b43*b93 + 3888*
    b43*b94 + 6048*b43*b95 + 5184*b43*b96 + 4320*b43*b97 + 4212*b43*b98 + 9180*
    b43*b99 + 8856*b43*b100 + 10368*b43*b101 + 4644*b43*b102 + 324*b43*b104 + 
    6696*b43*b105 + 6696*b43*b106 + 3888*b43*b107 + 3996*b43*b108 + 5724*b43*
    b110 + 10368*b43*b111 + 8856*b43*b112 + 4514*b43*b113 + 296*b43*b114 + 6660
    *b43*b115 + 2664*b43*b116 + 4144*b43*b117 + 3552*b43*b118 + 2960*b43*b119
     + 2886*b43*b120 + 6290*b43*b121 + 6068*b43*b122 + 7104*b43*b123 + 3182*b43
    *b124 + 222*b43*b126 + 4588*b43*b127 + 4588*b43*b128 + 2664*b43*b129 + 2738
    *b43*b130 + 3922*b43*b132 + 7104*b43*b133 + 6068*b43*b134 + 2440*b43*b157
     + 160*b43*b158 + 3600*b43*b159 + 1440*b43*b160 + 2240*b43*b161 + 1920*b43*
    b162 + 1600*b43*b163 + 1560*b43*b164 + 3400*b43*b165 + 3280*b43*b166 + 3840
    *b43*b167 + 1720*b43*b168 + 120*b43*b170 + 2480*b43*b171 + 2480*b43*b172 + 
    1440*b43*b173 + 1480*b43*b174 + 2120*b43*b176 + 3840*b43*b177 + 3280*b43*
    b178 + 1464*b43*b179 + 96*b43*b180 + 2160*b43*b181 + 864*b43*b182 + 1344*
    b43*b183 + 1152*b43*b184 + 960*b43*b185 + 936*b43*b186 + 2040*b43*b187 + 
    1968*b43*b188 + 2304*b43*b189 + 1032*b43*b190 + 72*b43*b192 + 1488*b43*b193
     + 1488*b43*b194 + 864*b43*b195 + 888*b43*b196 + 1272*b43*b198 + 2304*b43*
    b199 + 1968*b43*b200 + 1342*b43*b201 + 88*b43*b202 + 1980*b43*b203 + 792*
    b43*b204 + 1232*b43*b205 + 1056*b43*b206 + 880*b43*b207 + 858*b43*b208 + 
    1870*b43*b209 + 1804*b43*b210 + 2112*b43*b211 + 946*b43*b212 + 66*b43*b214
     + 1364*b43*b215 + 1364*b43*b216 + 792*b43*b217 + 814*b43*b218 + 1166*b43*
    b220 + 2112*b43*b221 + 1804*b43*b222 + 8052*b43*b223 + 528*b43*b224 + 11880
    *b43*b225 + 4752*b43*b226 + 7392*b43*b227 + 6336*b43*b228 + 5280*b43*b229
     + 5148*b43*b230 + 11220*b43*b231 + 10824*b43*b232 + 12672*b43*b233 + 5676*
    b43*b234 + 396*b43*b236 + 8184*b43*b237 + 8184*b43*b238 + 4752*b43*b239 + 
    4884*b43*b240 + 6996*b43*b242 + 12672*b43*b243 + 10824*b43*b244 + 10248*b43
    *b245 + 672*b43*b246 + 15120*b43*b247 + 6048*b43*b248 + 9408*b43*b249 + 
    8064*b43*b250 + 6720*b43*b251 + 6552*b43*b252 + 14280*b43*b253 + 13776*b43*
    b254 + 16128*b43*b255 + 7224*b43*b256 + 504*b43*b258 + 10416*b43*b259 + 
    10416*b43*b260 + 6048*b43*b261 + 6216*b43*b262 + 8904*b43*b264 + 16128*b43*
    b265 + 13776*b43*b266 + 9760*b43*b267 + 640*b43*b268 + 14400*b43*b269 + 
    5760*b43*b270 + 8960*b43*b271 + 7680*b43*b272 + 6400*b43*b273 + 6240*b43*
    b274 + 13600*b43*b275 + 13120*b43*b276 + 15360*b43*b277 + 6880*b43*b278 + 
    480*b43*b280 + 9920*b43*b281 + 9920*b43*b282 + 5760*b43*b283 + 5920*b43*
    b284 + 8480*b43*b286 + 15360*b43*b287 + 13120*b43*b288 + 122*b43*b289 + 8*
    b43*b290 + 180*b43*b291 + 72*b43*b292 + 112*b43*b293 + 96*b43*b294 + 80*b43
    *b295 + 78*b43*b296 + 170*b43*b297 + 164*b43*b298 + 192*b43*b299 + 86*b43*
    b300 + 6*b43*b302 + 124*b43*b303 + 124*b43*b304 + 72*b43*b305 + 74*b43*b306
     + 106*b43*b308 + 192*b43*b309 + 164*b43*b310 + 6710*b43*b311 + 440*b43*
    b312 + 9900*b43*b313 + 3960*b43*b314 + 6160*b43*b315 + 5280*b43*b316 + 4400
    *b43*b317 + 4290*b43*b318 + 9350*b43*b319 + 9020*b43*b320 + 10560*b43*b321
     + 4730*b43*b322 + 330*b43*b324 + 6820*b43*b325 + 6820*b43*b326 + 3960*b43*
    b327 + 4070*b43*b328 + 5830*b43*b330 + 10560*b43*b331 + 9020*b43*b332 + 
    1098*b43*b333 + 72*b43*b334 + 1620*b43*b335 + 648*b43*b336 + 1008*b43*b337
     + 864*b43*b338 + 720*b43*b339 + 702*b43*b340 + 1530*b43*b341 + 1476*b43*
    b342 + 1728*b43*b343 + 774*b43*b344 + 54*b43*b346 + 1116*b43*b347 + 1116*
    b43*b348 + 648*b43*b349 + 666*b43*b350 + 954*b43*b352 + 1728*b43*b353 + 
    1476*b43*b354 + 2562*b43*b355 + 168*b43*b356 + 3780*b43*b357 + 1512*b43*
    b358 + 2352*b43*b359 + 2016*b43*b360 + 1680*b43*b361 + 1638*b43*b362 + 3570
    *b43*b363 + 3444*b43*b364 + 4032*b43*b365 + 1806*b43*b366 + 126*b43*b368 + 
    2604*b43*b369 + 2604*b43*b370 + 1512*b43*b371 + 1554*b43*b372 + 2226*b43*
    b374 + 4032*b43*b375 + 3444*b43*b376 + 1464*b43*b377 + 96*b43*b378 + 2160*
    b43*b379 + 864*b43*b380 + 1344*b43*b381 + 1152*b43*b382 + 960*b43*b383 + 
    936*b43*b384 + 2040*b43*b385 + 1968*b43*b386 + 2304*b43*b387 + 1032*b43*
    b388 + 72*b43*b390 + 1488*b43*b391 + 1488*b43*b392 + 864*b43*b393 + 888*b43
    *b394 + 1272*b43*b396 + 2304*b43*b397 + 1968*b43*b398 + 7930*b43*b399 + 520
    *b43*b400 + 11700*b43*b401 + 4680*b43*b402 + 7280*b43*b403 + 6240*b43*b404
     + 5200*b43*b405 + 5070*b43*b406 + 11050*b43*b407 + 10660*b43*b408 + 12480*
    b43*b409 + 5590*b43*b410 + 390*b43*b412 + 8060*b43*b413 + 8060*b43*b414 + 
    4680*b43*b415 + 4810*b43*b416 + 6890*b43*b418 + 12480*b43*b419 + 10660*b43*
    b420 + 854*b43*b421 + 56*b43*b422 + 1260*b43*b423 + 504*b43*b424 + 784*b43*
    b425 + 672*b43*b426 + 560*b43*b427 + 546*b43*b428 + 1190*b43*b429 + 1148*
    b43*b430 + 1344*b43*b431 + 602*b43*b432 + 42*b43*b434 + 868*b43*b435 + 868*
    b43*b436 + 504*b43*b437 + 518*b43*b438 + 742*b43*b440 + 1344*b43*b441 + 
    1148*b43*b442 + 2074*b43*b443 + 136*b43*b444 + 3060*b43*b445 + 1224*b43*
    b446 + 1904*b43*b447 + 1632*b43*b448 + 1360*b43*b449 + 1326*b43*b450 + 2890
    *b43*b451 + 2788*b43*b452 + 3264*b43*b453 + 1462*b43*b454 + 102*b43*b456 + 
    2108*b43*b457 + 2108*b43*b458 + 1224*b43*b459 + 1258*b43*b460 + 1802*b43*
    b462 + 3264*b43*b463 + 2788*b43*b464 + 6222*b43*b465 + 408*b43*b466 + 9180*
    b43*b467 + 3672*b43*b468 + 5712*b43*b469 + 4896*b43*b470 + 4080*b43*b471 + 
    3978*b43*b472 + 8670*b43*b473 + 8364*b43*b474 + 9792*b43*b475 + 4386*b43*
    b476 + 306*b43*b478 + 6324*b43*b479 + 6324*b43*b480 + 3672*b43*b481 + 3774*
    b43*b482 + 5406*b43*b484 + 9792*b43*b485 + 8364*b43*b486 + 10248*b43*b487
     + 672*b43*b488 + 15120*b43*b489 + 6048*b43*b490 + 9408*b43*b491 + 8064*b43
    *b492 + 6720*b43*b493 + 6552*b43*b494 + 14280*b43*b495 + 13776*b43*b496 + 
    16128*b43*b497 + 7224*b43*b498 + 504*b43*b500 + 10416*b43*b501 + 10416*b43*
    b502 + 6048*b43*b503 + 6216*b43*b504 + 8904*b43*b506 + 16128*b43*b507 + 
    13776*b43*b508 + 10614*b43*b509 + 696*b43*b510 + 15660*b43*b511 + 6264*b43*
    b512 + 9744*b43*b513 + 8352*b43*b514 + 6960*b43*b515 + 6786*b43*b516 + 
    14790*b43*b517 + 14268*b43*b518 + 16704*b43*b519 + 7482*b43*b520 + 522*b43*
    b522 + 10788*b43*b523 + 10788*b43*b524 + 6264*b43*b525 + 6438*b43*b526 + 
    9222*b43*b528 + 16704*b43*b529 + 14268*b43*b530 + 188*b43*b534 + 3196*b43*
    b535 + 9024*b43*b536 + 38*b43*b537 + 646*b43*b538 + 1824*b43*b539 + 108*b43
    *b540 + 1836*b43*b541 + 5184*b43*b542 + 74*b43*b543 + 1258*b43*b544 + 3552*
    b43*b545 + 40*b43*b549 + 680*b43*b550 + 1920*b43*b551 + 24*b43*b552 + 408*
    b43*b553 + 1152*b43*b554 + 22*b43*b555 + 374*b43*b556 + 1056*b43*b557 + 132
    *b43*b558 + 2244*b43*b559 + 6336*b43*b560 + 168*b43*b561 + 2856*b43*b562 + 
    8064*b43*b563 + 160*b43*b564 + 2720*b43*b565 + 7680*b43*b566 + 2*b43*b567
     + 34*b43*b568 + 96*b43*b569 + 110*b43*b570 + 1870*b43*b571 + 5280*b43*b572
     + 18*b43*b573 + 306*b43*b574 + 864*b43*b575 + 42*b43*b576 + 714*b43*b577
     + 2016*b43*b578 + 24*b43*b579 + 408*b43*b580 + 1152*b43*b581 + 130*b43*
    b582 + 2210*b43*b583 + 6240*b43*b584 + 14*b43*b585 + 238*b43*b586 + 672*b43
    *b587 + 34*b43*b588 + 578*b43*b589 + 1632*b43*b590 + 102*b43*b591 + 1734*
    b43*b592 + 4896*b43*b593 + 168*b43*b594 + 2856*b43*b595 + 8064*b43*b596 + 
    174*b43*b597 + 2958*b43*b598 + 8352*b43*b599 + 552*b43*b600 + 12420*b43*
    b601 + 4968*b43*b602 + 7728*b43*b603 + 6624*b43*b604 + 5520*b43*b605 + 5382
    *b43*b606 + 11730*b43*b607 + 11316*b43*b608 + 13248*b43*b609 + 5934*b43*
    b610 + 414*b43*b612 + 8556*b43*b613 + 2346*b43*b614 + 8556*b43*b615 + 4968*
    b43*b616 + 5106*b43*b617 + 7314*b43*b619 + 13248*b43*b620 + 11316*b43*b621
     + 6624*b43*b622 + 8418*b43*b623 + 158*b43*b624 + 2686*b43*b625 + 7584*b43*
    b626 + 6768*b44*b47 + 6768*b44*b48 + 9588*b44*b49 + 9964*b44*b50 + 13160*
    b44*b51 + 2632*b44*b52 + 12408*b44*b53 + 9964*b44*b54 + 13536*b44*b55 + 
    8272*b44*b56 + 1316*b44*b57 + 18236*b44*b58 + 9588*b44*b60 + 5264*b44*b61
     + 11656*b44*b62 + 376*b44*b63 + 9212*b44*b64 + 9964*b44*b65 + 5264*b44*b67
     + 5828*b44*b68 + 1368*b44*b69 + 1368*b44*b70 + 1938*b44*b71 + 2014*b44*b72
     + 2660*b44*b73 + 532*b44*b74 + 2508*b44*b75 + 2014*b44*b76 + 2736*b44*b77
     + 1672*b44*b78 + 266*b44*b79 + 3686*b44*b80 + 1938*b44*b82 + 1064*b44*b83
     + 2356*b44*b84 + 76*b44*b85 + 1862*b44*b86 + 2014*b44*b87 + 1064*b44*b89
     + 1178*b44*b90 + 3888*b44*b91 + 3888*b44*b92 + 5508*b44*b93 + 5724*b44*b94
     + 7560*b44*b95 + 1512*b44*b96 + 7128*b44*b97 + 5724*b44*b98 + 7776*b44*b99
     + 4752*b44*b100 + 756*b44*b101 + 10476*b44*b102 + 5508*b44*b104 + 3024*b44
    *b105 + 6696*b44*b106 + 216*b44*b107 + 5292*b44*b108 + 5724*b44*b109 + 3024
    *b44*b111 + 3348*b44*b112 + 2664*b44*b113 + 2664*b44*b114 + 3774*b44*b115
     + 3922*b44*b116 + 5180*b44*b117 + 1036*b44*b118 + 4884*b44*b119 + 3922*b44
    *b120 + 5328*b44*b121 + 3256*b44*b122 + 518*b44*b123 + 7178*b44*b124 + 3774
    *b44*b126 + 2072*b44*b127 + 4588*b44*b128 + 148*b44*b129 + 3626*b44*b130 + 
    3922*b44*b131 + 2072*b44*b133 + 2294*b44*b134 + 1440*b44*b157 + 1440*b44*
    b158 + 2040*b44*b159 + 2120*b44*b160 + 2800*b44*b161 + 560*b44*b162 + 2640*
    b44*b163 + 2120*b44*b164 + 2880*b44*b165 + 1760*b44*b166 + 280*b44*b167 + 
    3880*b44*b168 + 2040*b44*b170 + 1120*b44*b171 + 2480*b44*b172 + 80*b44*b173
     + 1960*b44*b174 + 2120*b44*b175 + 1120*b44*b177 + 1240*b44*b178 + 864*b44*
    b179 + 864*b44*b180 + 1224*b44*b181 + 1272*b44*b182 + 1680*b44*b183 + 336*
    b44*b184 + 1584*b44*b185 + 1272*b44*b186 + 1728*b44*b187 + 1056*b44*b188 + 
    168*b44*b189 + 2328*b44*b190 + 1224*b44*b192 + 672*b44*b193 + 1488*b44*b194
     + 48*b44*b195 + 1176*b44*b196 + 1272*b44*b197 + 672*b44*b199 + 744*b44*
    b200 + 792*b44*b201 + 792*b44*b202 + 1122*b44*b203 + 1166*b44*b204 + 1540*
    b44*b205 + 308*b44*b206 + 1452*b44*b207 + 1166*b44*b208 + 1584*b44*b209 + 
    968*b44*b210 + 154*b44*b211 + 2134*b44*b212 + 1122*b44*b214 + 616*b44*b215
     + 1364*b44*b216 + 44*b44*b217 + 1078*b44*b218 + 1166*b44*b219 + 616*b44*
    b221 + 682*b44*b222 + 4752*b44*b223 + 4752*b44*b224 + 6732*b44*b225 + 6996*
    b44*b226 + 9240*b44*b227 + 1848*b44*b228 + 8712*b44*b229 + 6996*b44*b230 + 
    9504*b44*b231 + 5808*b44*b232 + 924*b44*b233 + 12804*b44*b234 + 6732*b44*
    b236 + 3696*b44*b237 + 8184*b44*b238 + 264*b44*b239 + 6468*b44*b240 + 6996*
    b44*b241 + 3696*b44*b243 + 4092*b44*b244 + 6048*b44*b245 + 6048*b44*b246 + 
    8568*b44*b247 + 8904*b44*b248 + 11760*b44*b249 + 2352*b44*b250 + 11088*b44*
    b251 + 8904*b44*b252 + 12096*b44*b253 + 7392*b44*b254 + 1176*b44*b255 + 
    16296*b44*b256 + 8568*b44*b258 + 4704*b44*b259 + 10416*b44*b260 + 336*b44*
    b261 + 8232*b44*b262 + 8904*b44*b263 + 4704*b44*b265 + 5208*b44*b266 + 5760
    *b44*b267 + 5760*b44*b268 + 8160*b44*b269 + 8480*b44*b270 + 11200*b44*b271
     + 2240*b44*b272 + 10560*b44*b273 + 8480*b44*b274 + 11520*b44*b275 + 7040*
    b44*b276 + 1120*b44*b277 + 15520*b44*b278 + 8160*b44*b280 + 4480*b44*b281
     + 9920*b44*b282 + 320*b44*b283 + 7840*b44*b284 + 8480*b44*b285 + 4480*b44*
    b287 + 4960*b44*b288 + 72*b44*b289 + 72*b44*b290 + 102*b44*b291 + 106*b44*
    b292 + 140*b44*b293 + 28*b44*b294 + 132*b44*b295 + 106*b44*b296 + 144*b44*
    b297 + 88*b44*b298 + 14*b44*b299 + 194*b44*b300 + 102*b44*b302 + 56*b44*
    b303 + 124*b44*b304 + 4*b44*b305 + 98*b44*b306 + 106*b44*b307 + 56*b44*b309
     + 62*b44*b310 + 3960*b44*b311 + 3960*b44*b312 + 5610*b44*b313 + 5830*b44*
    b314 + 7700*b44*b315 + 1540*b44*b316 + 7260*b44*b317 + 5830*b44*b318 + 7920
    *b44*b319 + 4840*b44*b320 + 770*b44*b321 + 10670*b44*b322 + 5610*b44*b324
     + 3080*b44*b325 + 6820*b44*b326 + 220*b44*b327 + 5390*b44*b328 + 5830*b44*
    b329 + 3080*b44*b331 + 3410*b44*b332 + 648*b44*b333 + 648*b44*b334 + 918*
    b44*b335 + 954*b44*b336 + 1260*b44*b337 + 252*b44*b338 + 1188*b44*b339 + 
    954*b44*b340 + 1296*b44*b341 + 792*b44*b342 + 126*b44*b343 + 1746*b44*b344
     + 918*b44*b346 + 504*b44*b347 + 1116*b44*b348 + 36*b44*b349 + 882*b44*b350
     + 954*b44*b351 + 504*b44*b353 + 558*b44*b354 + 1512*b44*b355 + 1512*b44*
    b356 + 2142*b44*b357 + 2226*b44*b358 + 2940*b44*b359 + 588*b44*b360 + 2772*
    b44*b361 + 2226*b44*b362 + 3024*b44*b363 + 1848*b44*b364 + 294*b44*b365 + 
    4074*b44*b366 + 2142*b44*b368 + 1176*b44*b369 + 2604*b44*b370 + 84*b44*b371
     + 2058*b44*b372 + 2226*b44*b373 + 1176*b44*b375 + 1302*b44*b376 + 864*b44*
    b377 + 864*b44*b378 + 1224*b44*b379 + 1272*b44*b380 + 1680*b44*b381 + 336*
    b44*b382 + 1584*b44*b383 + 1272*b44*b384 + 1728*b44*b385 + 1056*b44*b386 + 
    168*b44*b387 + 2328*b44*b388 + 1224*b44*b390 + 672*b44*b391 + 1488*b44*b392
     + 48*b44*b393 + 1176*b44*b394 + 1272*b44*b395 + 672*b44*b397 + 744*b44*
    b398 + 4680*b44*b399 + 4680*b44*b400 + 6630*b44*b401 + 6890*b44*b402 + 9100
    *b44*b403 + 1820*b44*b404 + 8580*b44*b405 + 6890*b44*b406 + 9360*b44*b407
     + 5720*b44*b408 + 910*b44*b409 + 12610*b44*b410 + 6630*b44*b412 + 3640*b44
    *b413 + 8060*b44*b414 + 260*b44*b415 + 6370*b44*b416 + 6890*b44*b417 + 3640
    *b44*b419 + 4030*b44*b420 + 504*b44*b421 + 504*b44*b422 + 714*b44*b423 + 
    742*b44*b424 + 980*b44*b425 + 196*b44*b426 + 924*b44*b427 + 742*b44*b428 + 
    1008*b44*b429 + 616*b44*b430 + 98*b44*b431 + 1358*b44*b432 + 714*b44*b434
     + 392*b44*b435 + 868*b44*b436 + 28*b44*b437 + 686*b44*b438 + 742*b44*b439
     + 392*b44*b441 + 434*b44*b442 + 1224*b44*b443 + 1224*b44*b444 + 1734*b44*
    b445 + 1802*b44*b446 + 2380*b44*b447 + 476*b44*b448 + 2244*b44*b449 + 1802*
    b44*b450 + 2448*b44*b451 + 1496*b44*b452 + 238*b44*b453 + 3298*b44*b454 + 
    1734*b44*b456 + 952*b44*b457 + 2108*b44*b458 + 68*b44*b459 + 1666*b44*b460
     + 1802*b44*b461 + 952*b44*b463 + 1054*b44*b464 + 3672*b44*b465 + 3672*b44*
    b466 + 5202*b44*b467 + 5406*b44*b468 + 7140*b44*b469 + 1428*b44*b470 + 6732
    *b44*b471 + 5406*b44*b472 + 7344*b44*b473 + 4488*b44*b474 + 714*b44*b475 + 
    9894*b44*b476 + 5202*b44*b478 + 2856*b44*b479 + 6324*b44*b480 + 204*b44*
    b481 + 4998*b44*b482 + 5406*b44*b483 + 2856*b44*b485 + 3162*b44*b486 + 6048
    *b44*b487 + 6048*b44*b488 + 8568*b44*b489 + 8904*b44*b490 + 11760*b44*b491
     + 2352*b44*b492 + 11088*b44*b493 + 8904*b44*b494 + 12096*b44*b495 + 7392*
    b44*b496 + 1176*b44*b497 + 16296*b44*b498 + 8568*b44*b500 + 4704*b44*b501
     + 10416*b44*b502 + 336*b44*b503 + 8232*b44*b504 + 8904*b44*b505 + 4704*b44
    *b507 + 5208*b44*b508 + 6264*b44*b509 + 6264*b44*b510 + 8874*b44*b511 + 
    9222*b44*b512 + 12180*b44*b513 + 2436*b44*b514 + 11484*b44*b515 + 9222*b44*
    b516 + 12528*b44*b517 + 7656*b44*b518 + 1218*b44*b519 + 16878*b44*b520 + 
    8874*b44*b522 + 4872*b44*b523 + 10788*b44*b524 + 348*b44*b525 + 8526*b44*
    b526 + 9222*b44*b527 + 4872*b44*b529 + 5394*b44*b530 + 15980*b44*b534 + 
    14476*b44*b535 + 14100*b44*b536 + 3230*b44*b537 + 2926*b44*b538 + 2850*b44*
    b539 + 9180*b44*b540 + 8316*b44*b541 + 8100*b44*b542 + 6290*b44*b543 + 5698
    *b44*b544 + 5550*b44*b545 + 3400*b44*b549 + 3080*b44*b550 + 3000*b44*b551
     + 2040*b44*b552 + 1848*b44*b553 + 1800*b44*b554 + 1870*b44*b555 + 1694*b44
    *b556 + 1650*b44*b557 + 11220*b44*b558 + 10164*b44*b559 + 9900*b44*b560 + 
    14280*b44*b561 + 12936*b44*b562 + 12600*b44*b563 + 13600*b44*b564 + 12320*
    b44*b565 + 12000*b44*b566 + 170*b44*b567 + 154*b44*b568 + 150*b44*b569 + 
    9350*b44*b570 + 8470*b44*b571 + 8250*b44*b572 + 1530*b44*b573 + 1386*b44*
    b574 + 1350*b44*b575 + 3570*b44*b576 + 3234*b44*b577 + 3150*b44*b578 + 2040
    *b44*b579 + 1848*b44*b580 + 1800*b44*b581 + 11050*b44*b582 + 10010*b44*b583
     + 9750*b44*b584 + 1190*b44*b585 + 1078*b44*b586 + 1050*b44*b587 + 2890*b44
    *b588 + 2618*b44*b589 + 2550*b44*b590 + 8670*b44*b591 + 7854*b44*b592 + 
    7650*b44*b593 + 14280*b44*b594 + 12936*b44*b595 + 12600*b44*b596 + 14790*
    b44*b597 + 13398*b44*b598 + 13050*b44*b599 + 4968*b44*b600 + 7038*b44*b601
     + 7314*b44*b602 + 9660*b44*b603 + 1932*b44*b604 + 9108*b44*b605 + 7314*b44
    *b606 + 9936*b44*b607 + 6072*b44*b608 + 966*b44*b609 + 13386*b44*b610 + 
    7038*b44*b612 + 3864*b44*b613 + 10626*b44*b614 + 8556*b44*b615 + 276*b44*
    b616 + 6762*b44*b617 + 7314*b44*b618 + 3864*b44*b620 + 4278*b44*b621 + 
    10350*b44*b622 + 4968*b44*b623 + 13430*b44*b624 + 12166*b44*b625 + 11850*
    b44*b626 + 3948*b45*b47 + 5076*b45*b48 + 564*b45*b49 + 6956*b45*b50 + 18612
    *b45*b51 + 16732*b45*b52 + 10904*b45*b53 + 14476*b45*b54 + 1316*b45*b55 + 
    6580*b45*b56 + 16356*b45*b57 + 6204*b45*b58 + 9024*b45*b59 + 12596*b45*b60
     + 14288*b45*b61 + 15604*b45*b62 + 376*b45*b63 + 11468*b45*b64 + 18048*b45*
    b65 + 5264*b45*b66 + 188*b45*b68 + 798*b45*b69 + 1026*b45*b70 + 114*b45*b71
     + 1406*b45*b72 + 3762*b45*b73 + 3382*b45*b74 + 2204*b45*b75 + 2926*b45*b76
     + 266*b45*b77 + 1330*b45*b78 + 3306*b45*b79 + 1254*b45*b80 + 1824*b45*b81
     + 2546*b45*b82 + 2888*b45*b83 + 3154*b45*b84 + 76*b45*b85 + 2318*b45*b86
     + 3648*b45*b87 + 1064*b45*b88 + 38*b45*b90 + 2268*b45*b91 + 2916*b45*b92
     + 324*b45*b93 + 3996*b45*b94 + 10692*b45*b95 + 9612*b45*b96 + 6264*b45*b97
     + 8316*b45*b98 + 756*b45*b99 + 3780*b45*b100 + 9396*b45*b101 + 3564*b45*
    b102 + 5184*b45*b103 + 7236*b45*b104 + 8208*b45*b105 + 8964*b45*b106 + 216*
    b45*b107 + 6588*b45*b108 + 10368*b45*b109 + 3024*b45*b110 + 108*b45*b112 + 
    1554*b45*b113 + 1998*b45*b114 + 222*b45*b115 + 2738*b45*b116 + 7326*b45*
    b117 + 6586*b45*b118 + 4292*b45*b119 + 5698*b45*b120 + 518*b45*b121 + 2590*
    b45*b122 + 6438*b45*b123 + 2442*b45*b124 + 3552*b45*b125 + 4958*b45*b126 + 
    5624*b45*b127 + 6142*b45*b128 + 148*b45*b129 + 4514*b45*b130 + 7104*b45*
    b131 + 2072*b45*b132 + 74*b45*b134 + 840*b45*b157 + 1080*b45*b158 + 120*b45
    *b159 + 1480*b45*b160 + 3960*b45*b161 + 3560*b45*b162 + 2320*b45*b163 + 
    3080*b45*b164 + 280*b45*b165 + 1400*b45*b166 + 3480*b45*b167 + 1320*b45*
    b168 + 1920*b45*b169 + 2680*b45*b170 + 3040*b45*b171 + 3320*b45*b172 + 80*
    b45*b173 + 2440*b45*b174 + 3840*b45*b175 + 1120*b45*b176 + 40*b45*b178 + 
    504*b45*b179 + 648*b45*b180 + 72*b45*b181 + 888*b45*b182 + 2376*b45*b183 + 
    2136*b45*b184 + 1392*b45*b185 + 1848*b45*b186 + 168*b45*b187 + 840*b45*b188
     + 2088*b45*b189 + 792*b45*b190 + 1152*b45*b191 + 1608*b45*b192 + 1824*b45*
    b193 + 1992*b45*b194 + 48*b45*b195 + 1464*b45*b196 + 2304*b45*b197 + 672*
    b45*b198 + 24*b45*b200 + 462*b45*b201 + 594*b45*b202 + 66*b45*b203 + 814*
    b45*b204 + 2178*b45*b205 + 1958*b45*b206 + 1276*b45*b207 + 1694*b45*b208 + 
    154*b45*b209 + 770*b45*b210 + 1914*b45*b211 + 726*b45*b212 + 1056*b45*b213
     + 1474*b45*b214 + 1672*b45*b215 + 1826*b45*b216 + 44*b45*b217 + 1342*b45*
    b218 + 2112*b45*b219 + 616*b45*b220 + 22*b45*b222 + 2772*b45*b223 + 3564*
    b45*b224 + 396*b45*b225 + 4884*b45*b226 + 13068*b45*b227 + 11748*b45*b228
     + 7656*b45*b229 + 10164*b45*b230 + 924*b45*b231 + 4620*b45*b232 + 11484*
    b45*b233 + 4356*b45*b234 + 6336*b45*b235 + 8844*b45*b236 + 10032*b45*b237
     + 10956*b45*b238 + 264*b45*b239 + 8052*b45*b240 + 12672*b45*b241 + 3696*
    b45*b242 + 132*b45*b244 + 3528*b45*b245 + 4536*b45*b246 + 504*b45*b247 + 
    6216*b45*b248 + 16632*b45*b249 + 14952*b45*b250 + 9744*b45*b251 + 12936*b45
    *b252 + 1176*b45*b253 + 5880*b45*b254 + 14616*b45*b255 + 5544*b45*b256 + 
    8064*b45*b257 + 11256*b45*b258 + 12768*b45*b259 + 13944*b45*b260 + 336*b45*
    b261 + 10248*b45*b262 + 16128*b45*b263 + 4704*b45*b264 + 168*b45*b266 + 
    3360*b45*b267 + 4320*b45*b268 + 480*b45*b269 + 5920*b45*b270 + 15840*b45*
    b271 + 14240*b45*b272 + 9280*b45*b273 + 12320*b45*b274 + 1120*b45*b275 + 
    5600*b45*b276 + 13920*b45*b277 + 5280*b45*b278 + 7680*b45*b279 + 10720*b45*
    b280 + 12160*b45*b281 + 13280*b45*b282 + 320*b45*b283 + 9760*b45*b284 + 
    15360*b45*b285 + 4480*b45*b286 + 160*b45*b288 + 42*b45*b289 + 54*b45*b290
     + 6*b45*b291 + 74*b45*b292 + 198*b45*b293 + 178*b45*b294 + 116*b45*b295 + 
    154*b45*b296 + 14*b45*b297 + 70*b45*b298 + 174*b45*b299 + 66*b45*b300 + 96*
    b45*b301 + 134*b45*b302 + 152*b45*b303 + 166*b45*b304 + 4*b45*b305 + 122*
    b45*b306 + 192*b45*b307 + 56*b45*b308 + 2*b45*b310 + 2310*b45*b311 + 2970*
    b45*b312 + 330*b45*b313 + 4070*b45*b314 + 10890*b45*b315 + 9790*b45*b316 + 
    6380*b45*b317 + 8470*b45*b318 + 770*b45*b319 + 3850*b45*b320 + 9570*b45*
    b321 + 3630*b45*b322 + 5280*b45*b323 + 7370*b45*b324 + 8360*b45*b325 + 9130
    *b45*b326 + 220*b45*b327 + 6710*b45*b328 + 10560*b45*b329 + 3080*b45*b330
     + 110*b45*b332 + 378*b45*b333 + 486*b45*b334 + 54*b45*b335 + 666*b45*b336
     + 1782*b45*b337 + 1602*b45*b338 + 1044*b45*b339 + 1386*b45*b340 + 126*b45*
    b341 + 630*b45*b342 + 1566*b45*b343 + 594*b45*b344 + 864*b45*b345 + 1206*
    b45*b346 + 1368*b45*b347 + 1494*b45*b348 + 36*b45*b349 + 1098*b45*b350 + 
    1728*b45*b351 + 504*b45*b352 + 18*b45*b354 + 882*b45*b355 + 1134*b45*b356
     + 126*b45*b357 + 1554*b45*b358 + 4158*b45*b359 + 3738*b45*b360 + 2436*b45*
    b361 + 3234*b45*b362 + 294*b45*b363 + 1470*b45*b364 + 3654*b45*b365 + 1386*
    b45*b366 + 2016*b45*b367 + 2814*b45*b368 + 3192*b45*b369 + 3486*b45*b370 + 
    84*b45*b371 + 2562*b45*b372 + 4032*b45*b373 + 1176*b45*b374 + 42*b45*b376
     + 504*b45*b377 + 648*b45*b378 + 72*b45*b379 + 888*b45*b380 + 2376*b45*b381
     + 2136*b45*b382 + 1392*b45*b383 + 1848*b45*b384 + 168*b45*b385 + 840*b45*
    b386 + 2088*b45*b387 + 792*b45*b388 + 1152*b45*b389 + 1608*b45*b390 + 1824*
    b45*b391 + 1992*b45*b392 + 48*b45*b393 + 1464*b45*b394 + 2304*b45*b395 + 
    672*b45*b396 + 24*b45*b398 + 2730*b45*b399 + 3510*b45*b400 + 390*b45*b401
     + 4810*b45*b402 + 12870*b45*b403 + 11570*b45*b404 + 7540*b45*b405 + 10010*
    b45*b406 + 910*b45*b407 + 4550*b45*b408 + 11310*b45*b409 + 4290*b45*b410 + 
    6240*b45*b411 + 8710*b45*b412 + 9880*b45*b413 + 10790*b45*b414 + 260*b45*
    b415 + 7930*b45*b416 + 12480*b45*b417 + 3640*b45*b418 + 130*b45*b420 + 294*
    b45*b421 + 378*b45*b422 + 42*b45*b423 + 518*b45*b424 + 1386*b45*b425 + 1246
    *b45*b426 + 812*b45*b427 + 1078*b45*b428 + 98*b45*b429 + 490*b45*b430 + 
    1218*b45*b431 + 462*b45*b432 + 672*b45*b433 + 938*b45*b434 + 1064*b45*b435
     + 1162*b45*b436 + 28*b45*b437 + 854*b45*b438 + 1344*b45*b439 + 392*b45*
    b440 + 14*b45*b442 + 714*b45*b443 + 918*b45*b444 + 102*b45*b445 + 1258*b45*
    b446 + 3366*b45*b447 + 3026*b45*b448 + 1972*b45*b449 + 2618*b45*b450 + 238*
    b45*b451 + 1190*b45*b452 + 2958*b45*b453 + 1122*b45*b454 + 1632*b45*b455 + 
    2278*b45*b456 + 2584*b45*b457 + 2822*b45*b458 + 68*b45*b459 + 2074*b45*b460
     + 3264*b45*b461 + 952*b45*b462 + 34*b45*b464 + 2142*b45*b465 + 2754*b45*
    b466 + 306*b45*b467 + 3774*b45*b468 + 10098*b45*b469 + 9078*b45*b470 + 5916
    *b45*b471 + 7854*b45*b472 + 714*b45*b473 + 3570*b45*b474 + 8874*b45*b475 + 
    3366*b45*b476 + 4896*b45*b477 + 6834*b45*b478 + 7752*b45*b479 + 8466*b45*
    b480 + 204*b45*b481 + 6222*b45*b482 + 9792*b45*b483 + 2856*b45*b484 + 102*
    b45*b486 + 3528*b45*b487 + 4536*b45*b488 + 504*b45*b489 + 6216*b45*b490 + 
    16632*b45*b491 + 14952*b45*b492 + 9744*b45*b493 + 12936*b45*b494 + 1176*b45
    *b495 + 5880*b45*b496 + 14616*b45*b497 + 5544*b45*b498 + 8064*b45*b499 + 
    11256*b45*b500 + 12768*b45*b501 + 13944*b45*b502 + 336*b45*b503 + 10248*b45
    *b504 + 16128*b45*b505 + 4704*b45*b506 + 168*b45*b508 + 3654*b45*b509 + 
    4698*b45*b510 + 522*b45*b511 + 6438*b45*b512 + 17226*b45*b513 + 15486*b45*
    b514 + 10092*b45*b515 + 13398*b45*b516 + 1218*b45*b517 + 6090*b45*b518 + 
    15138*b45*b519 + 5742*b45*b520 + 8352*b45*b521 + 11658*b45*b522 + 13224*b45
    *b523 + 14442*b45*b524 + 348*b45*b525 + 10614*b45*b526 + 16704*b45*b527 + 
    4872*b45*b528 + 174*b45*b530 + 15792*b45*b534 + 8272*b45*b535 + 17860*b45*
    b536 + 3192*b45*b537 + 1672*b45*b538 + 3610*b45*b539 + 9072*b45*b540 + 4752
    *b45*b541 + 10260*b45*b542 + 6216*b45*b543 + 3256*b45*b544 + 7030*b45*b545
     + 3360*b45*b549 + 1760*b45*b550 + 3800*b45*b551 + 2016*b45*b552 + 1056*b45
    *b553 + 2280*b45*b554 + 1848*b45*b555 + 968*b45*b556 + 2090*b45*b557 + 
    11088*b45*b558 + 5808*b45*b559 + 12540*b45*b560 + 14112*b45*b561 + 7392*b45
    *b562 + 15960*b45*b563 + 13440*b45*b564 + 7040*b45*b565 + 15200*b45*b566 + 
    168*b45*b567 + 88*b45*b568 + 190*b45*b569 + 9240*b45*b570 + 4840*b45*b571
     + 10450*b45*b572 + 1512*b45*b573 + 792*b45*b574 + 1710*b45*b575 + 3528*b45
    *b576 + 1848*b45*b577 + 3990*b45*b578 + 2016*b45*b579 + 1056*b45*b580 + 
    2280*b45*b581 + 10920*b45*b582 + 5720*b45*b583 + 12350*b45*b584 + 1176*b45*
    b585 + 616*b45*b586 + 1330*b45*b587 + 2856*b45*b588 + 1496*b45*b589 + 3230*
    b45*b590 + 8568*b45*b591 + 4488*b45*b592 + 9690*b45*b593 + 14112*b45*b594
     + 7392*b45*b595 + 15960*b45*b596 + 14616*b45*b597 + 7656*b45*b598 + 16530*
    b45*b599 + 3726*b45*b600 + 414*b45*b601 + 5106*b45*b602 + 13662*b45*b603 + 
    12282*b45*b604 + 8004*b45*b605 + 10626*b45*b606 + 966*b45*b607 + 4830*b45*
    b608 + 12006*b45*b609 + 4554*b45*b610 + 6624*b45*b611 + 9246*b45*b612 + 
    10488*b45*b613 + 6072*b45*b614 + 11454*b45*b615 + 276*b45*b616 + 8418*b45*
    b617 + 13248*b45*b618 + 3864*b45*b619 + 138*b45*b621 + 13110*b45*b622 + 
    2898*b45*b623 + 13272*b45*b624 + 6952*b45*b625 + 15010*b45*b626 + 13348*b46
    *b47 + 15980*b46*b48 + 9024*b46*b49 + 4888*b46*b50 + 11280*b46*b51 + 8272*
    b46*b52 + 5640*b46*b53 + 9400*b46*b54 + 9212*b46*b55 + 564*b46*b56 + 12784*
    b46*b57 + 6580*b46*b58 + 11656*b46*b59 + 7332*b46*b60 + 12408*b46*b61 + 
    17108*b46*b62 + 8084*b46*b63 + 940*b46*b64 + 15416*b46*b65 + 5828*b46*b66
     + 188*b46*b67 + 2698*b46*b69 + 3230*b46*b70 + 1824*b46*b71 + 988*b46*b72
     + 2280*b46*b73 + 1672*b46*b74 + 1140*b46*b75 + 1900*b46*b76 + 1862*b46*b77
     + 114*b46*b78 + 2584*b46*b79 + 1330*b46*b80 + 2356*b46*b81 + 1482*b46*b82
     + 2508*b46*b83 + 3458*b46*b84 + 1634*b46*b85 + 190*b46*b86 + 3116*b46*b87
     + 1178*b46*b88 + 38*b46*b89 + 7668*b46*b91 + 9180*b46*b92 + 5184*b46*b93
     + 2808*b46*b94 + 6480*b46*b95 + 4752*b46*b96 + 3240*b46*b97 + 5400*b46*b98
     + 5292*b46*b99 + 324*b46*b100 + 7344*b46*b101 + 3780*b46*b102 + 6696*b46*
    b103 + 4212*b46*b104 + 7128*b46*b105 + 9828*b46*b106 + 4644*b46*b107 + 540*
    b46*b108 + 8856*b46*b109 + 3348*b46*b110 + 108*b46*b111 + 5254*b46*b113 + 
    6290*b46*b114 + 3552*b46*b115 + 1924*b46*b116 + 4440*b46*b117 + 3256*b46*
    b118 + 2220*b46*b119 + 3700*b46*b120 + 3626*b46*b121 + 222*b46*b122 + 5032*
    b46*b123 + 2590*b46*b124 + 4588*b46*b125 + 2886*b46*b126 + 4884*b46*b127 + 
    6734*b46*b128 + 3182*b46*b129 + 370*b46*b130 + 6068*b46*b131 + 2294*b46*
    b132 + 74*b46*b133 + 2840*b46*b157 + 3400*b46*b158 + 1920*b46*b159 + 1040*
    b46*b160 + 2400*b46*b161 + 1760*b46*b162 + 1200*b46*b163 + 2000*b46*b164 + 
    1960*b46*b165 + 120*b46*b166 + 2720*b46*b167 + 1400*b46*b168 + 2480*b46*
    b169 + 1560*b46*b170 + 2640*b46*b171 + 3640*b46*b172 + 1720*b46*b173 + 200*
    b46*b174 + 3280*b46*b175 + 1240*b46*b176 + 40*b46*b177 + 1704*b46*b179 + 
    2040*b46*b180 + 1152*b46*b181 + 624*b46*b182 + 1440*b46*b183 + 1056*b46*
    b184 + 720*b46*b185 + 1200*b46*b186 + 1176*b46*b187 + 72*b46*b188 + 1632*
    b46*b189 + 840*b46*b190 + 1488*b46*b191 + 936*b46*b192 + 1584*b46*b193 + 
    2184*b46*b194 + 1032*b46*b195 + 120*b46*b196 + 1968*b46*b197 + 744*b46*b198
     + 24*b46*b199 + 1562*b46*b201 + 1870*b46*b202 + 1056*b46*b203 + 572*b46*
    b204 + 1320*b46*b205 + 968*b46*b206 + 660*b46*b207 + 1100*b46*b208 + 1078*
    b46*b209 + 66*b46*b210 + 1496*b46*b211 + 770*b46*b212 + 1364*b46*b213 + 858
    *b46*b214 + 1452*b46*b215 + 2002*b46*b216 + 946*b46*b217 + 110*b46*b218 + 
    1804*b46*b219 + 682*b46*b220 + 22*b46*b221 + 9372*b46*b223 + 11220*b46*b224
     + 6336*b46*b225 + 3432*b46*b226 + 7920*b46*b227 + 5808*b46*b228 + 3960*b46
    *b229 + 6600*b46*b230 + 6468*b46*b231 + 396*b46*b232 + 8976*b46*b233 + 4620
    *b46*b234 + 8184*b46*b235 + 5148*b46*b236 + 8712*b46*b237 + 12012*b46*b238
     + 5676*b46*b239 + 660*b46*b240 + 10824*b46*b241 + 4092*b46*b242 + 132*b46*
    b243 + 11928*b46*b245 + 14280*b46*b246 + 8064*b46*b247 + 4368*b46*b248 + 
    10080*b46*b249 + 7392*b46*b250 + 5040*b46*b251 + 8400*b46*b252 + 8232*b46*
    b253 + 504*b46*b254 + 11424*b46*b255 + 5880*b46*b256 + 10416*b46*b257 + 
    6552*b46*b258 + 11088*b46*b259 + 15288*b46*b260 + 7224*b46*b261 + 840*b46*
    b262 + 13776*b46*b263 + 5208*b46*b264 + 168*b46*b265 + 11360*b46*b267 + 
    13600*b46*b268 + 7680*b46*b269 + 4160*b46*b270 + 9600*b46*b271 + 7040*b46*
    b272 + 4800*b46*b273 + 8000*b46*b274 + 7840*b46*b275 + 480*b46*b276 + 10880
    *b46*b277 + 5600*b46*b278 + 9920*b46*b279 + 6240*b46*b280 + 10560*b46*b281
     + 14560*b46*b282 + 6880*b46*b283 + 800*b46*b284 + 13120*b46*b285 + 4960*
    b46*b286 + 160*b46*b287 + 142*b46*b289 + 170*b46*b290 + 96*b46*b291 + 52*
    b46*b292 + 120*b46*b293 + 88*b46*b294 + 60*b46*b295 + 100*b46*b296 + 98*b46
    *b297 + 6*b46*b298 + 136*b46*b299 + 70*b46*b300 + 124*b46*b301 + 78*b46*
    b302 + 132*b46*b303 + 182*b46*b304 + 86*b46*b305 + 10*b46*b306 + 164*b46*
    b307 + 62*b46*b308 + 2*b46*b309 + 7810*b46*b311 + 9350*b46*b312 + 5280*b46*
    b313 + 2860*b46*b314 + 6600*b46*b315 + 4840*b46*b316 + 3300*b46*b317 + 5500
    *b46*b318 + 5390*b46*b319 + 330*b46*b320 + 7480*b46*b321 + 3850*b46*b322 + 
    6820*b46*b323 + 4290*b46*b324 + 7260*b46*b325 + 10010*b46*b326 + 4730*b46*
    b327 + 550*b46*b328 + 9020*b46*b329 + 3410*b46*b330 + 110*b46*b331 + 1278*
    b46*b333 + 1530*b46*b334 + 864*b46*b335 + 468*b46*b336 + 1080*b46*b337 + 
    792*b46*b338 + 540*b46*b339 + 900*b46*b340 + 882*b46*b341 + 54*b46*b342 + 
    1224*b46*b343 + 630*b46*b344 + 1116*b46*b345 + 702*b46*b346 + 1188*b46*b347
     + 1638*b46*b348 + 774*b46*b349 + 90*b46*b350 + 1476*b46*b351 + 558*b46*
    b352 + 18*b46*b353 + 2982*b46*b355 + 3570*b46*b356 + 2016*b46*b357 + 1092*
    b46*b358 + 2520*b46*b359 + 1848*b46*b360 + 1260*b46*b361 + 2100*b46*b362 + 
    2058*b46*b363 + 126*b46*b364 + 2856*b46*b365 + 1470*b46*b366 + 2604*b46*
    b367 + 1638*b46*b368 + 2772*b46*b369 + 3822*b46*b370 + 1806*b46*b371 + 210*
    b46*b372 + 3444*b46*b373 + 1302*b46*b374 + 42*b46*b375 + 1704*b46*b377 + 
    2040*b46*b378 + 1152*b46*b379 + 624*b46*b380 + 1440*b46*b381 + 1056*b46*
    b382 + 720*b46*b383 + 1200*b46*b384 + 1176*b46*b385 + 72*b46*b386 + 1632*
    b46*b387 + 840*b46*b388 + 1488*b46*b389 + 936*b46*b390 + 1584*b46*b391 + 
    2184*b46*b392 + 1032*b46*b393 + 120*b46*b394 + 1968*b46*b395 + 744*b46*b396
     + 24*b46*b397 + 9230*b46*b399 + 11050*b46*b400 + 6240*b46*b401 + 3380*b46*
    b402 + 7800*b46*b403 + 5720*b46*b404 + 3900*b46*b405 + 6500*b46*b406 + 6370
    *b46*b407 + 390*b46*b408 + 8840*b46*b409 + 4550*b46*b410 + 8060*b46*b411 + 
    5070*b46*b412 + 8580*b46*b413 + 11830*b46*b414 + 5590*b46*b415 + 650*b46*
    b416 + 10660*b46*b417 + 4030*b46*b418 + 130*b46*b419 + 994*b46*b421 + 1190*
    b46*b422 + 672*b46*b423 + 364*b46*b424 + 840*b46*b425 + 616*b46*b426 + 420*
    b46*b427 + 700*b46*b428 + 686*b46*b429 + 42*b46*b430 + 952*b46*b431 + 490*
    b46*b432 + 868*b46*b433 + 546*b46*b434 + 924*b46*b435 + 1274*b46*b436 + 602
    *b46*b437 + 70*b46*b438 + 1148*b46*b439 + 434*b46*b440 + 14*b46*b441 + 2414
    *b46*b443 + 2890*b46*b444 + 1632*b46*b445 + 884*b46*b446 + 2040*b46*b447 + 
    1496*b46*b448 + 1020*b46*b449 + 1700*b46*b450 + 1666*b46*b451 + 102*b46*
    b452 + 2312*b46*b453 + 1190*b46*b454 + 2108*b46*b455 + 1326*b46*b456 + 2244
    *b46*b457 + 3094*b46*b458 + 1462*b46*b459 + 170*b46*b460 + 2788*b46*b461 + 
    1054*b46*b462 + 34*b46*b463 + 7242*b46*b465 + 8670*b46*b466 + 4896*b46*b467
     + 2652*b46*b468 + 6120*b46*b469 + 4488*b46*b470 + 3060*b46*b471 + 5100*b46
    *b472 + 4998*b46*b473 + 306*b46*b474 + 6936*b46*b475 + 3570*b46*b476 + 6324
    *b46*b477 + 3978*b46*b478 + 6732*b46*b479 + 9282*b46*b480 + 4386*b46*b481
     + 510*b46*b482 + 8364*b46*b483 + 3162*b46*b484 + 102*b46*b485 + 11928*b46*
    b487 + 14280*b46*b488 + 8064*b46*b489 + 4368*b46*b490 + 10080*b46*b491 + 
    7392*b46*b492 + 5040*b46*b493 + 8400*b46*b494 + 8232*b46*b495 + 504*b46*
    b496 + 11424*b46*b497 + 5880*b46*b498 + 10416*b46*b499 + 6552*b46*b500 + 
    11088*b46*b501 + 15288*b46*b502 + 7224*b46*b503 + 840*b46*b504 + 13776*b46*
    b505 + 5208*b46*b506 + 168*b46*b507 + 12354*b46*b509 + 14790*b46*b510 + 
    8352*b46*b511 + 4524*b46*b512 + 10440*b46*b513 + 7656*b46*b514 + 5220*b46*
    b515 + 8700*b46*b516 + 8526*b46*b517 + 522*b46*b518 + 11832*b46*b519 + 6090
    *b46*b520 + 10788*b46*b521 + 6786*b46*b522 + 11484*b46*b523 + 15834*b46*
    b524 + 7482*b46*b525 + 870*b46*b526 + 14268*b46*b527 + 5394*b46*b528 + 174*
    b46*b529 + 2256*b46*b534 + 4888*b46*b535 + 1316*b46*b536 + 456*b46*b537 + 
    988*b46*b538 + 266*b46*b539 + 1296*b46*b540 + 2808*b46*b541 + 756*b46*b542
     + 888*b46*b543 + 1924*b46*b544 + 518*b46*b545 + 480*b46*b549 + 1040*b46*
    b550 + 280*b46*b551 + 288*b46*b552 + 624*b46*b553 + 168*b46*b554 + 264*b46*
    b555 + 572*b46*b556 + 154*b46*b557 + 1584*b46*b558 + 3432*b46*b559 + 924*
    b46*b560 + 2016*b46*b561 + 4368*b46*b562 + 1176*b46*b563 + 1920*b46*b564 + 
    4160*b46*b565 + 1120*b46*b566 + 24*b46*b567 + 52*b46*b568 + 14*b46*b569 + 
    1320*b46*b570 + 2860*b46*b571 + 770*b46*b572 + 216*b46*b573 + 468*b46*b574
     + 126*b46*b575 + 504*b46*b576 + 1092*b46*b577 + 294*b46*b578 + 288*b46*
    b579 + 624*b46*b580 + 168*b46*b581 + 1560*b46*b582 + 3380*b46*b583 + 910*
    b46*b584 + 168*b46*b585 + 364*b46*b586 + 98*b46*b587 + 408*b46*b588 + 884*
    b46*b589 + 238*b46*b590 + 1224*b46*b591 + 2652*b46*b592 + 714*b46*b593 + 
    2016*b46*b594 + 4368*b46*b595 + 1176*b46*b596 + 2088*b46*b597 + 4524*b46*
    b598 + 1218*b46*b599 + 11730*b46*b600 + 6624*b46*b601 + 3588*b46*b602 + 
    8280*b46*b603 + 6072*b46*b604 + 4140*b46*b605 + 6900*b46*b606 + 6762*b46*
    b607 + 414*b46*b608 + 9384*b46*b609 + 4830*b46*b610 + 8556*b46*b611 + 5382*
    b46*b612 + 9108*b46*b613 + 3588*b46*b614 + 12558*b46*b615 + 5934*b46*b616
     + 690*b46*b617 + 11316*b46*b618 + 4278*b46*b619 + 138*b46*b620 + 966*b46*
    b622 + 9798*b46*b623 + 1896*b46*b624 + 4108*b46*b625 + 1106*b46*b626 + 104*
    b47*b70 + 364*b47*b71 + 44*b47*b72 + 140*b47*b73 + 328*b47*b74 + 104*b47*
    b75 + 276*b47*b76 + 224*b47*b77 + 344*b47*b78 + 180*b47*b79 + 364*b47*b80
     + 236*b47*b81 + 72*b47*b82 + 304*b47*b83 + 72*b47*b84 + 228*b47*b85 + 144*
    b47*b86 + 244*b47*b87 + 144*b47*b88 + 84*b47*b89 + 284*b47*b90 + 1404*b47*
    b92 + 4914*b47*b93 + 594*b47*b94 + 1890*b47*b95 + 4428*b47*b96 + 1404*b47*
    b97 + 3726*b47*b98 + 3024*b47*b99 + 4644*b47*b100 + 2430*b47*b101 + 4914*
    b47*b102 + 3186*b47*b103 + 972*b47*b104 + 4104*b47*b105 + 972*b47*b106 + 
    3078*b47*b107 + 1944*b47*b108 + 3294*b47*b109 + 1944*b47*b110 + 1134*b47*
    b111 + 3834*b47*b112 + 4264*b47*b114 + 14924*b47*b115 + 1804*b47*b116 + 
    5740*b47*b117 + 13448*b47*b118 + 4264*b47*b119 + 11316*b47*b120 + 9184*b47*
    b121 + 14104*b47*b122 + 7380*b47*b123 + 14924*b47*b124 + 9676*b47*b125 + 
    2952*b47*b126 + 12464*b47*b127 + 2952*b47*b128 + 9348*b47*b129 + 5904*b47*
    b130 + 10004*b47*b131 + 5904*b47*b132 + 3444*b47*b133 + 11644*b47*b134 + 
    3692*b47*b136 + 12922*b47*b137 + 1562*b47*b138 + 4970*b47*b139 + 11644*b47*
    b140 + 3692*b47*b141 + 9798*b47*b142 + 7952*b47*b143 + 12212*b47*b144 + 
    6390*b47*b145 + 12922*b47*b146 + 8378*b47*b147 + 2556*b47*b148 + 10792*b47*
    b149 + 2556*b47*b150 + 8094*b47*b151 + 5112*b47*b152 + 8662*b47*b153 + 5112
    *b47*b154 + 2982*b47*b155 + 10082*b47*b156 + 3692*b47*b158 + 12922*b47*b159
     + 1562*b47*b160 + 4970*b47*b161 + 11644*b47*b162 + 3692*b47*b163 + 9798*
    b47*b164 + 7952*b47*b165 + 12212*b47*b166 + 6390*b47*b167 + 12922*b47*b168
     + 8378*b47*b169 + 2556*b47*b170 + 10792*b47*b171 + 2556*b47*b172 + 8094*
    b47*b173 + 5112*b47*b174 + 8662*b47*b175 + 5112*b47*b176 + 2982*b47*b177 + 
    10082*b47*b178 + 2080*b47*b180 + 7280*b47*b181 + 880*b47*b182 + 2800*b47*
    b183 + 6560*b47*b184 + 2080*b47*b185 + 5520*b47*b186 + 4480*b47*b187 + 6880
    *b47*b188 + 3600*b47*b189 + 7280*b47*b190 + 4720*b47*b191 + 1440*b47*b192
     + 6080*b47*b193 + 1440*b47*b194 + 4560*b47*b195 + 2880*b47*b196 + 4880*b47
    *b197 + 2880*b47*b198 + 1680*b47*b199 + 5680*b47*b200 + 4836*b47*b202 + 
    16926*b47*b203 + 2046*b47*b204 + 6510*b47*b205 + 15252*b47*b206 + 4836*b47*
    b207 + 12834*b47*b208 + 10416*b47*b209 + 15996*b47*b210 + 8370*b47*b211 + 
    16926*b47*b212 + 10974*b47*b213 + 3348*b47*b214 + 14136*b47*b215 + 3348*b47
    *b216 + 10602*b47*b217 + 6696*b47*b218 + 11346*b47*b219 + 6696*b47*b220 + 
    3906*b47*b221 + 13206*b47*b222 + 1404*b47*b224 + 4914*b47*b225 + 594*b47*
    b226 + 1890*b47*b227 + 4428*b47*b228 + 1404*b47*b229 + 3726*b47*b230 + 3024
    *b47*b231 + 4644*b47*b232 + 2430*b47*b233 + 4914*b47*b234 + 3186*b47*b235
     + 972*b47*b236 + 4104*b47*b237 + 972*b47*b238 + 3078*b47*b239 + 1944*b47*
    b240 + 3294*b47*b241 + 1944*b47*b242 + 1134*b47*b243 + 3834*b47*b244 + 4836
    *b47*b246 + 16926*b47*b247 + 2046*b47*b248 + 6510*b47*b249 + 15252*b47*b250
     + 4836*b47*b251 + 12834*b47*b252 + 10416*b47*b253 + 15996*b47*b254 + 8370*
    b47*b255 + 16926*b47*b256 + 10974*b47*b257 + 3348*b47*b258 + 14136*b47*b259
     + 3348*b47*b260 + 10602*b47*b261 + 6696*b47*b262 + 11346*b47*b263 + 6696*
    b47*b264 + 3906*b47*b265 + 13206*b47*b266 + 4784*b47*b268 + 16744*b47*b269
     + 2024*b47*b270 + 6440*b47*b271 + 15088*b47*b272 + 4784*b47*b273 + 12696*
    b47*b274 + 10304*b47*b275 + 15824*b47*b276 + 8280*b47*b277 + 16744*b47*b278
     + 10856*b47*b279 + 3312*b47*b280 + 13984*b47*b281 + 3312*b47*b282 + 10488*
    b47*b283 + 6624*b47*b284 + 11224*b47*b285 + 6624*b47*b286 + 3864*b47*b287
     + 13064*b47*b288 + 1768*b47*b290 + 6188*b47*b291 + 748*b47*b292 + 2380*b47
    *b293 + 5576*b47*b294 + 1768*b47*b295 + 4692*b47*b296 + 3808*b47*b297 + 
    5848*b47*b298 + 3060*b47*b299 + 6188*b47*b300 + 4012*b47*b301 + 1224*b47*
    b302 + 5168*b47*b303 + 1224*b47*b304 + 3876*b47*b305 + 2448*b47*b306 + 4148
    *b47*b307 + 2448*b47*b308 + 1428*b47*b309 + 4828*b47*b310 + 2028*b47*b312
     + 7098*b47*b313 + 858*b47*b314 + 2730*b47*b315 + 6396*b47*b316 + 2028*b47*
    b317 + 5382*b47*b318 + 4368*b47*b319 + 6708*b47*b320 + 3510*b47*b321 + 7098
    *b47*b322 + 4602*b47*b323 + 1404*b47*b324 + 5928*b47*b325 + 1404*b47*b326
     + 4446*b47*b327 + 2808*b47*b328 + 4758*b47*b329 + 2808*b47*b330 + 1638*b47
    *b331 + 5538*b47*b332 + 1612*b47*b334 + 5642*b47*b335 + 682*b47*b336 + 2170
    *b47*b337 + 5084*b47*b338 + 1612*b47*b339 + 4278*b47*b340 + 3472*b47*b341
     + 5332*b47*b342 + 2790*b47*b343 + 5642*b47*b344 + 3658*b47*b345 + 1116*b47
    *b346 + 4712*b47*b347 + 1116*b47*b348 + 3534*b47*b349 + 2232*b47*b350 + 
    3782*b47*b351 + 2232*b47*b352 + 1302*b47*b353 + 4402*b47*b354 + 1352*b47*
    b356 + 4732*b47*b357 + 572*b47*b358 + 1820*b47*b359 + 4264*b47*b360 + 1352*
    b47*b361 + 3588*b47*b362 + 2912*b47*b363 + 4472*b47*b364 + 2340*b47*b365 + 
    4732*b47*b366 + 3068*b47*b367 + 936*b47*b368 + 3952*b47*b369 + 936*b47*b370
     + 2964*b47*b371 + 1872*b47*b372 + 3172*b47*b373 + 1872*b47*b374 + 1092*b47
    *b375 + 3692*b47*b376 + 52*b47*b378 + 182*b47*b379 + 22*b47*b380 + 70*b47*
    b381 + 164*b47*b382 + 52*b47*b383 + 138*b47*b384 + 112*b47*b385 + 172*b47*
    b386 + 90*b47*b387 + 182*b47*b388 + 118*b47*b389 + 36*b47*b390 + 152*b47*
    b391 + 36*b47*b392 + 114*b47*b393 + 72*b47*b394 + 122*b47*b395 + 72*b47*
    b396 + 42*b47*b397 + 142*b47*b398 + 4524*b47*b400 + 15834*b47*b401 + 1914*
    b47*b402 + 6090*b47*b403 + 14268*b47*b404 + 4524*b47*b405 + 12006*b47*b406
     + 9744*b47*b407 + 14964*b47*b408 + 7830*b47*b409 + 15834*b47*b410 + 10266*
    b47*b411 + 3132*b47*b412 + 13224*b47*b413 + 3132*b47*b414 + 9918*b47*b415
     + 6264*b47*b416 + 10614*b47*b417 + 6264*b47*b418 + 3654*b47*b419 + 12354*
    b47*b420 + 3744*b47*b422 + 13104*b47*b423 + 1584*b47*b424 + 5040*b47*b425
     + 11808*b47*b426 + 3744*b47*b427 + 9936*b47*b428 + 8064*b47*b429 + 12384*
    b47*b430 + 6480*b47*b431 + 13104*b47*b432 + 8496*b47*b433 + 2592*b47*b434
     + 10944*b47*b435 + 2592*b47*b436 + 8208*b47*b437 + 5184*b47*b438 + 8784*
    b47*b439 + 5184*b47*b440 + 3024*b47*b441 + 10224*b47*b442 + 3068*b47*b444
     + 10738*b47*b445 + 1298*b47*b446 + 4130*b47*b447 + 9676*b47*b448 + 3068*
    b47*b449 + 8142*b47*b450 + 6608*b47*b451 + 10148*b47*b452 + 5310*b47*b453
     + 10738*b47*b454 + 6962*b47*b455 + 2124*b47*b456 + 8968*b47*b457 + 2124*
    b47*b458 + 6726*b47*b459 + 4248*b47*b460 + 7198*b47*b461 + 4248*b47*b462 + 
    2478*b47*b463 + 8378*b47*b464 + 5044*b47*b466 + 17654*b47*b467 + 2134*b47*
    b468 + 6790*b47*b469 + 15908*b47*b470 + 5044*b47*b471 + 13386*b47*b472 + 
    10864*b47*b473 + 16684*b47*b474 + 8730*b47*b475 + 17654*b47*b476 + 11446*
    b47*b477 + 3492*b47*b478 + 14744*b47*b479 + 3492*b47*b480 + 11058*b47*b481
     + 6984*b47*b482 + 11834*b47*b483 + 6984*b47*b484 + 4074*b47*b485 + 13774*
    b47*b486 + 2392*b47*b488 + 8372*b47*b489 + 1012*b47*b490 + 3220*b47*b491 + 
    7544*b47*b492 + 2392*b47*b493 + 6348*b47*b494 + 5152*b47*b495 + 7912*b47*
    b496 + 4140*b47*b497 + 8372*b47*b498 + 5428*b47*b499 + 1656*b47*b500 + 6992
    *b47*b501 + 1656*b47*b502 + 5244*b47*b503 + 3312*b47*b504 + 5612*b47*b505
     + 3312*b47*b506 + 1932*b47*b507 + 6532*b47*b508 + 3224*b47*b510 + 11284*
    b47*b511 + 1364*b47*b512 + 4340*b47*b513 + 10168*b47*b514 + 3224*b47*b515
     + 8556*b47*b516 + 6944*b47*b517 + 10664*b47*b518 + 5580*b47*b519 + 11284*
    b47*b520 + 7316*b47*b521 + 2232*b47*b522 + 9424*b47*b523 + 2232*b47*b524 + 
    7068*b47*b525 + 4464*b47*b526 + 7564*b47*b527 + 4464*b47*b528 + 2604*b47*
    b529 + 8804*b47*b530 + 3948*b47*b531 + 7332*b47*b532 + 2068*b47*b533 + 84*
    b47*b537 + 156*b47*b538 + 44*b47*b539 + 1134*b47*b540 + 2106*b47*b541 + 594
    *b47*b542 + 3444*b47*b543 + 6396*b47*b544 + 1804*b47*b545 + 2982*b47*b546
     + 5538*b47*b547 + 1562*b47*b548 + 2982*b47*b549 + 5538*b47*b550 + 1562*b47
    *b551 + 1680*b47*b552 + 3120*b47*b553 + 880*b47*b554 + 3906*b47*b555 + 7254
    *b47*b556 + 2046*b47*b557 + 1134*b47*b558 + 2106*b47*b559 + 594*b47*b560 + 
    3906*b47*b561 + 7254*b47*b562 + 2046*b47*b563 + 3864*b47*b564 + 7176*b47*
    b565 + 2024*b47*b566 + 1428*b47*b567 + 2652*b47*b568 + 748*b47*b569 + 1638*
    b47*b570 + 3042*b47*b571 + 858*b47*b572 + 1302*b47*b573 + 2418*b47*b574 + 
    682*b47*b575 + 1092*b47*b576 + 2028*b47*b577 + 572*b47*b578 + 42*b47*b579
     + 78*b47*b580 + 22*b47*b581 + 3654*b47*b582 + 6786*b47*b583 + 1914*b47*
    b584 + 3024*b47*b585 + 5616*b47*b586 + 1584*b47*b587 + 2478*b47*b588 + 4602
    *b47*b589 + 1298*b47*b590 + 4074*b47*b591 + 7566*b47*b592 + 2134*b47*b593
     + 1932*b47*b594 + 3588*b47*b595 + 1012*b47*b596 + 2604*b47*b597 + 4836*b47
    *b598 + 1364*b47*b599 + 3224*b47*b600 + 11284*b47*b601 + 1364*b47*b602 + 
    4340*b47*b603 + 10168*b47*b604 + 3224*b47*b605 + 8556*b47*b606 + 6944*b47*
    b607 + 10664*b47*b608 + 5580*b47*b609 + 11284*b47*b610 + 7316*b47*b611 + 
    2232*b47*b612 + 9424*b47*b613 + 4836*b47*b614 + 2232*b47*b615 + 7068*b47*
    b616 + 4464*b47*b617 + 7564*b47*b618 + 4464*b47*b619 + 2604*b47*b620 + 8804
    *b47*b621 + 1364*b47*b622 + 4116*b47*b624 + 7644*b47*b625 + 2156*b47*b626
     + 104*b48*b69 + 116*b48*b71 + 328*b48*b72 + 328*b48*b73 + 24*b48*b74 + 284
    *b48*b75 + 32*b48*b76 + 308*b48*b77 + 296*b48*b78 + 120*b48*b79 + 356*b48*
    b80 + 304*b48*b81 + 304*b48*b82 + 160*b48*b83 + 224*b48*b84 + 4*b48*b85 + 
    200*b48*b86 + 16*b48*b87 + 144*b48*b88 + 108*b48*b89 + 340*b48*b90 + 1404*
    b48*b91 + 1566*b48*b93 + 4428*b48*b94 + 4428*b48*b95 + 324*b48*b96 + 3834*
    b48*b97 + 432*b48*b98 + 4158*b48*b99 + 3996*b48*b100 + 1620*b48*b101 + 4806
    *b48*b102 + 4104*b48*b103 + 4104*b48*b104 + 2160*b48*b105 + 3024*b48*b106
     + 54*b48*b107 + 2700*b48*b108 + 216*b48*b109 + 1944*b48*b110 + 1458*b48*
    b111 + 4590*b48*b112 + 4264*b48*b113 + 4756*b48*b115 + 13448*b48*b116 + 
    13448*b48*b117 + 984*b48*b118 + 11644*b48*b119 + 1312*b48*b120 + 12628*b48*
    b121 + 12136*b48*b122 + 4920*b48*b123 + 14596*b48*b124 + 12464*b48*b125 + 
    12464*b48*b126 + 6560*b48*b127 + 9184*b48*b128 + 164*b48*b129 + 8200*b48*
    b130 + 656*b48*b131 + 5904*b48*b132 + 4428*b48*b133 + 13940*b48*b134 + 3692
    *b48*b135 + 4118*b48*b137 + 11644*b48*b138 + 11644*b48*b139 + 852*b48*b140
     + 10082*b48*b141 + 1136*b48*b142 + 10934*b48*b143 + 10508*b48*b144 + 4260*
    b48*b145 + 12638*b48*b146 + 10792*b48*b147 + 10792*b48*b148 + 5680*b48*b149
     + 7952*b48*b150 + 142*b48*b151 + 7100*b48*b152 + 568*b48*b153 + 5112*b48*
    b154 + 3834*b48*b155 + 12070*b48*b156 + 3692*b48*b157 + 4118*b48*b159 + 
    11644*b48*b160 + 11644*b48*b161 + 852*b48*b162 + 10082*b48*b163 + 1136*b48*
    b164 + 10934*b48*b165 + 10508*b48*b166 + 4260*b48*b167 + 12638*b48*b168 + 
    10792*b48*b169 + 10792*b48*b170 + 5680*b48*b171 + 7952*b48*b172 + 142*b48*
    b173 + 7100*b48*b174 + 568*b48*b175 + 5112*b48*b176 + 3834*b48*b177 + 12070
    *b48*b178 + 2080*b48*b179 + 2320*b48*b181 + 6560*b48*b182 + 6560*b48*b183
     + 480*b48*b184 + 5680*b48*b185 + 640*b48*b186 + 6160*b48*b187 + 5920*b48*
    b188 + 2400*b48*b189 + 7120*b48*b190 + 6080*b48*b191 + 6080*b48*b192 + 3200
    *b48*b193 + 4480*b48*b194 + 80*b48*b195 + 4000*b48*b196 + 320*b48*b197 + 
    2880*b48*b198 + 2160*b48*b199 + 6800*b48*b200 + 4836*b48*b201 + 5394*b48*
    b203 + 15252*b48*b204 + 15252*b48*b205 + 1116*b48*b206 + 13206*b48*b207 + 
    1488*b48*b208 + 14322*b48*b209 + 13764*b48*b210 + 5580*b48*b211 + 16554*b48
    *b212 + 14136*b48*b213 + 14136*b48*b214 + 7440*b48*b215 + 10416*b48*b216 + 
    186*b48*b217 + 9300*b48*b218 + 744*b48*b219 + 6696*b48*b220 + 5022*b48*b221
     + 15810*b48*b222 + 1404*b48*b223 + 1566*b48*b225 + 4428*b48*b226 + 4428*
    b48*b227 + 324*b48*b228 + 3834*b48*b229 + 432*b48*b230 + 4158*b48*b231 + 
    3996*b48*b232 + 1620*b48*b233 + 4806*b48*b234 + 4104*b48*b235 + 4104*b48*
    b236 + 2160*b48*b237 + 3024*b48*b238 + 54*b48*b239 + 2700*b48*b240 + 216*
    b48*b241 + 1944*b48*b242 + 1458*b48*b243 + 4590*b48*b244 + 4836*b48*b245 + 
    5394*b48*b247 + 15252*b48*b248 + 15252*b48*b249 + 1116*b48*b250 + 13206*b48
    *b251 + 1488*b48*b252 + 14322*b48*b253 + 13764*b48*b254 + 5580*b48*b255 + 
    16554*b48*b256 + 14136*b48*b257 + 14136*b48*b258 + 7440*b48*b259 + 10416*
    b48*b260 + 186*b48*b261 + 9300*b48*b262 + 744*b48*b263 + 6696*b48*b264 + 
    5022*b48*b265 + 15810*b48*b266 + 4784*b48*b267 + 5336*b48*b269 + 15088*b48*
    b270 + 15088*b48*b271 + 1104*b48*b272 + 13064*b48*b273 + 1472*b48*b274 + 
    14168*b48*b275 + 13616*b48*b276 + 5520*b48*b277 + 16376*b48*b278 + 13984*
    b48*b279 + 13984*b48*b280 + 7360*b48*b281 + 10304*b48*b282 + 184*b48*b283
     + 9200*b48*b284 + 736*b48*b285 + 6624*b48*b286 + 4968*b48*b287 + 15640*b48
    *b288 + 1768*b48*b289 + 1972*b48*b291 + 5576*b48*b292 + 5576*b48*b293 + 408
    *b48*b294 + 4828*b48*b295 + 544*b48*b296 + 5236*b48*b297 + 5032*b48*b298 + 
    2040*b48*b299 + 6052*b48*b300 + 5168*b48*b301 + 5168*b48*b302 + 2720*b48*
    b303 + 3808*b48*b304 + 68*b48*b305 + 3400*b48*b306 + 272*b48*b307 + 2448*
    b48*b308 + 1836*b48*b309 + 5780*b48*b310 + 2028*b48*b311 + 2262*b48*b313 + 
    6396*b48*b314 + 6396*b48*b315 + 468*b48*b316 + 5538*b48*b317 + 624*b48*b318
     + 6006*b48*b319 + 5772*b48*b320 + 2340*b48*b321 + 6942*b48*b322 + 5928*b48
    *b323 + 5928*b48*b324 + 3120*b48*b325 + 4368*b48*b326 + 78*b48*b327 + 3900*
    b48*b328 + 312*b48*b329 + 2808*b48*b330 + 2106*b48*b331 + 6630*b48*b332 + 
    1612*b48*b333 + 1798*b48*b335 + 5084*b48*b336 + 5084*b48*b337 + 372*b48*
    b338 + 4402*b48*b339 + 496*b48*b340 + 4774*b48*b341 + 4588*b48*b342 + 1860*
    b48*b343 + 5518*b48*b344 + 4712*b48*b345 + 4712*b48*b346 + 2480*b48*b347 + 
    3472*b48*b348 + 62*b48*b349 + 3100*b48*b350 + 248*b48*b351 + 2232*b48*b352
     + 1674*b48*b353 + 5270*b48*b354 + 1352*b48*b355 + 1508*b48*b357 + 4264*b48
    *b358 + 4264*b48*b359 + 312*b48*b360 + 3692*b48*b361 + 416*b48*b362 + 4004*
    b48*b363 + 3848*b48*b364 + 1560*b48*b365 + 4628*b48*b366 + 3952*b48*b367 + 
    3952*b48*b368 + 2080*b48*b369 + 2912*b48*b370 + 52*b48*b371 + 2600*b48*b372
     + 208*b48*b373 + 1872*b48*b374 + 1404*b48*b375 + 4420*b48*b376 + 52*b48*
    b377 + 58*b48*b379 + 164*b48*b380 + 164*b48*b381 + 12*b48*b382 + 142*b48*
    b383 + 16*b48*b384 + 154*b48*b385 + 148*b48*b386 + 60*b48*b387 + 178*b48*
    b388 + 152*b48*b389 + 152*b48*b390 + 80*b48*b391 + 112*b48*b392 + 2*b48*
    b393 + 100*b48*b394 + 8*b48*b395 + 72*b48*b396 + 54*b48*b397 + 170*b48*b398
     + 4524*b48*b399 + 5046*b48*b401 + 14268*b48*b402 + 14268*b48*b403 + 1044*
    b48*b404 + 12354*b48*b405 + 1392*b48*b406 + 13398*b48*b407 + 12876*b48*b408
     + 5220*b48*b409 + 15486*b48*b410 + 13224*b48*b411 + 13224*b48*b412 + 6960*
    b48*b413 + 9744*b48*b414 + 174*b48*b415 + 8700*b48*b416 + 696*b48*b417 + 
    6264*b48*b418 + 4698*b48*b419 + 14790*b48*b420 + 3744*b48*b421 + 4176*b48*
    b423 + 11808*b48*b424 + 11808*b48*b425 + 864*b48*b426 + 10224*b48*b427 + 
    1152*b48*b428 + 11088*b48*b429 + 10656*b48*b430 + 4320*b48*b431 + 12816*b48
    *b432 + 10944*b48*b433 + 10944*b48*b434 + 5760*b48*b435 + 8064*b48*b436 + 
    144*b48*b437 + 7200*b48*b438 + 576*b48*b439 + 5184*b48*b440 + 3888*b48*b441
     + 12240*b48*b442 + 3068*b48*b443 + 3422*b48*b445 + 9676*b48*b446 + 9676*
    b48*b447 + 708*b48*b448 + 8378*b48*b449 + 944*b48*b450 + 9086*b48*b451 + 
    8732*b48*b452 + 3540*b48*b453 + 10502*b48*b454 + 8968*b48*b455 + 8968*b48*
    b456 + 4720*b48*b457 + 6608*b48*b458 + 118*b48*b459 + 5900*b48*b460 + 472*
    b48*b461 + 4248*b48*b462 + 3186*b48*b463 + 10030*b48*b464 + 5044*b48*b465
     + 5626*b48*b467 + 15908*b48*b468 + 15908*b48*b469 + 1164*b48*b470 + 13774*
    b48*b471 + 1552*b48*b472 + 14938*b48*b473 + 14356*b48*b474 + 5820*b48*b475
     + 17266*b48*b476 + 14744*b48*b477 + 14744*b48*b478 + 7760*b48*b479 + 10864
    *b48*b480 + 194*b48*b481 + 9700*b48*b482 + 776*b48*b483 + 6984*b48*b484 + 
    5238*b48*b485 + 16490*b48*b486 + 2392*b48*b487 + 2668*b48*b489 + 7544*b48*
    b490 + 7544*b48*b491 + 552*b48*b492 + 6532*b48*b493 + 736*b48*b494 + 7084*
    b48*b495 + 6808*b48*b496 + 2760*b48*b497 + 8188*b48*b498 + 6992*b48*b499 + 
    6992*b48*b500 + 3680*b48*b501 + 5152*b48*b502 + 92*b48*b503 + 4600*b48*b504
     + 368*b48*b505 + 3312*b48*b506 + 2484*b48*b507 + 7820*b48*b508 + 3224*b48*
    b509 + 3596*b48*b511 + 10168*b48*b512 + 10168*b48*b513 + 744*b48*b514 + 
    8804*b48*b515 + 992*b48*b516 + 9548*b48*b517 + 9176*b48*b518 + 3720*b48*
    b519 + 11036*b48*b520 + 9424*b48*b521 + 9424*b48*b522 + 4960*b48*b523 + 
    6944*b48*b524 + 124*b48*b525 + 6200*b48*b526 + 496*b48*b527 + 4464*b48*b528
     + 3348*b48*b529 + 10540*b48*b530 + 17860*b48*b531 + 17484*b48*b532 + 376*
    b48*b533 + 380*b48*b537 + 372*b48*b538 + 8*b48*b539 + 5130*b48*b540 + 5022*
    b48*b541 + 108*b48*b542 + 15580*b48*b543 + 15252*b48*b544 + 328*b48*b545 + 
    13490*b48*b546 + 13206*b48*b547 + 284*b48*b548 + 13490*b48*b549 + 13206*b48
    *b550 + 284*b48*b551 + 7600*b48*b552 + 7440*b48*b553 + 160*b48*b554 + 17670
    *b48*b555 + 17298*b48*b556 + 372*b48*b557 + 5130*b48*b558 + 5022*b48*b559
     + 108*b48*b560 + 17670*b48*b561 + 17298*b48*b562 + 372*b48*b563 + 17480*
    b48*b564 + 17112*b48*b565 + 368*b48*b566 + 6460*b48*b567 + 6324*b48*b568 + 
    136*b48*b569 + 7410*b48*b570 + 7254*b48*b571 + 156*b48*b572 + 5890*b48*b573
     + 5766*b48*b574 + 124*b48*b575 + 4940*b48*b576 + 4836*b48*b577 + 104*b48*
    b578 + 190*b48*b579 + 186*b48*b580 + 4*b48*b581 + 16530*b48*b582 + 16182*
    b48*b583 + 348*b48*b584 + 13680*b48*b585 + 13392*b48*b586 + 288*b48*b587 + 
    11210*b48*b588 + 10974*b48*b589 + 236*b48*b590 + 18430*b48*b591 + 18042*b48
    *b592 + 388*b48*b593 + 8740*b48*b594 + 8556*b48*b595 + 184*b48*b596 + 11780
    *b48*b597 + 11532*b48*b598 + 248*b48*b599 + 3596*b48*b601 + 10168*b48*b602
     + 10168*b48*b603 + 744*b48*b604 + 8804*b48*b605 + 992*b48*b606 + 9548*b48*
    b607 + 9176*b48*b608 + 3720*b48*b609 + 11036*b48*b610 + 9424*b48*b611 + 
    9424*b48*b612 + 4960*b48*b613 + 11532*b48*b614 + 6944*b48*b615 + 124*b48*
    b616 + 6200*b48*b617 + 496*b48*b618 + 4464*b48*b619 + 3348*b48*b620 + 10540
    *b48*b621 + 248*b48*b622 + 3224*b48*b623 + 18620*b48*b624 + 18228*b48*b625
     + 392*b48*b626 + 364*b49*b69 + 116*b49*b70 + 4*b49*b72 + 60*b49*b73 + 44*
    b49*b74 + 140*b49*b75 + 44*b49*b76 + 80*b49*b77 + 84*b49*b78 + 244*b49*b79
     + 320*b49*b80 + 232*b49*b81 + 84*b49*b82 + 304*b49*b83 + 176*b49*b84 + 340
    *b49*b85 + 376*b49*b86 + 360*b49*b87 + 204*b49*b88 + 12*b49*b89 + 192*b49*
    b90 + 4914*b49*b91 + 1566*b49*b92 + 54*b49*b94 + 810*b49*b95 + 594*b49*b96
     + 1890*b49*b97 + 594*b49*b98 + 1080*b49*b99 + 1134*b49*b100 + 3294*b49*
    b101 + 4320*b49*b102 + 3132*b49*b103 + 1134*b49*b104 + 4104*b49*b105 + 2376
    *b49*b106 + 4590*b49*b107 + 5076*b49*b108 + 4860*b49*b109 + 2754*b49*b110
     + 162*b49*b111 + 2592*b49*b112 + 14924*b49*b113 + 4756*b49*b114 + 164*b49*
    b116 + 2460*b49*b117 + 1804*b49*b118 + 5740*b49*b119 + 1804*b49*b120 + 3280
    *b49*b121 + 3444*b49*b122 + 10004*b49*b123 + 13120*b49*b124 + 9512*b49*b125
     + 3444*b49*b126 + 12464*b49*b127 + 7216*b49*b128 + 13940*b49*b129 + 15416*
    b49*b130 + 14760*b49*b131 + 8364*b49*b132 + 492*b49*b133 + 7872*b49*b134 + 
    12922*b49*b135 + 4118*b49*b136 + 142*b49*b138 + 2130*b49*b139 + 1562*b49*
    b140 + 4970*b49*b141 + 1562*b49*b142 + 2840*b49*b143 + 2982*b49*b144 + 8662
    *b49*b145 + 11360*b49*b146 + 8236*b49*b147 + 2982*b49*b148 + 10792*b49*b149
     + 6248*b49*b150 + 12070*b49*b151 + 13348*b49*b152 + 12780*b49*b153 + 7242*
    b49*b154 + 426*b49*b155 + 6816*b49*b156 + 12922*b49*b157 + 4118*b49*b158 + 
    142*b49*b160 + 2130*b49*b161 + 1562*b49*b162 + 4970*b49*b163 + 1562*b49*
    b164 + 2840*b49*b165 + 2982*b49*b166 + 8662*b49*b167 + 11360*b49*b168 + 
    8236*b49*b169 + 2982*b49*b170 + 10792*b49*b171 + 6248*b49*b172 + 12070*b49*
    b173 + 13348*b49*b174 + 12780*b49*b175 + 7242*b49*b176 + 426*b49*b177 + 
    6816*b49*b178 + 7280*b49*b179 + 2320*b49*b180 + 80*b49*b182 + 1200*b49*b183
     + 880*b49*b184 + 2800*b49*b185 + 880*b49*b186 + 1600*b49*b187 + 1680*b49*
    b188 + 4880*b49*b189 + 6400*b49*b190 + 4640*b49*b191 + 1680*b49*b192 + 6080
    *b49*b193 + 3520*b49*b194 + 6800*b49*b195 + 7520*b49*b196 + 7200*b49*b197
     + 4080*b49*b198 + 240*b49*b199 + 3840*b49*b200 + 16926*b49*b201 + 5394*b49
    *b202 + 186*b49*b204 + 2790*b49*b205 + 2046*b49*b206 + 6510*b49*b207 + 2046
    *b49*b208 + 3720*b49*b209 + 3906*b49*b210 + 11346*b49*b211 + 14880*b49*b212
     + 10788*b49*b213 + 3906*b49*b214 + 14136*b49*b215 + 8184*b49*b216 + 15810*
    b49*b217 + 17484*b49*b218 + 16740*b49*b219 + 9486*b49*b220 + 558*b49*b221
     + 8928*b49*b222 + 4914*b49*b223 + 1566*b49*b224 + 54*b49*b226 + 810*b49*
    b227 + 594*b49*b228 + 1890*b49*b229 + 594*b49*b230 + 1080*b49*b231 + 1134*
    b49*b232 + 3294*b49*b233 + 4320*b49*b234 + 3132*b49*b235 + 1134*b49*b236 + 
    4104*b49*b237 + 2376*b49*b238 + 4590*b49*b239 + 5076*b49*b240 + 4860*b49*
    b241 + 2754*b49*b242 + 162*b49*b243 + 2592*b49*b244 + 16926*b49*b245 + 5394
    *b49*b246 + 186*b49*b248 + 2790*b49*b249 + 2046*b49*b250 + 6510*b49*b251 + 
    2046*b49*b252 + 3720*b49*b253 + 3906*b49*b254 + 11346*b49*b255 + 14880*b49*
    b256 + 10788*b49*b257 + 3906*b49*b258 + 14136*b49*b259 + 8184*b49*b260 + 
    15810*b49*b261 + 17484*b49*b262 + 16740*b49*b263 + 9486*b49*b264 + 558*b49*
    b265 + 8928*b49*b266 + 16744*b49*b267 + 5336*b49*b268 + 184*b49*b270 + 2760
    *b49*b271 + 2024*b49*b272 + 6440*b49*b273 + 2024*b49*b274 + 3680*b49*b275
     + 3864*b49*b276 + 11224*b49*b277 + 14720*b49*b278 + 10672*b49*b279 + 3864*
    b49*b280 + 13984*b49*b281 + 8096*b49*b282 + 15640*b49*b283 + 17296*b49*b284
     + 16560*b49*b285 + 9384*b49*b286 + 552*b49*b287 + 8832*b49*b288 + 6188*b49
    *b289 + 1972*b49*b290 + 68*b49*b292 + 1020*b49*b293 + 748*b49*b294 + 2380*
    b49*b295 + 748*b49*b296 + 1360*b49*b297 + 1428*b49*b298 + 4148*b49*b299 + 
    5440*b49*b300 + 3944*b49*b301 + 1428*b49*b302 + 5168*b49*b303 + 2992*b49*
    b304 + 5780*b49*b305 + 6392*b49*b306 + 6120*b49*b307 + 3468*b49*b308 + 204*
    b49*b309 + 3264*b49*b310 + 7098*b49*b311 + 2262*b49*b312 + 78*b49*b314 + 
    1170*b49*b315 + 858*b49*b316 + 2730*b49*b317 + 858*b49*b318 + 1560*b49*b319
     + 1638*b49*b320 + 4758*b49*b321 + 6240*b49*b322 + 4524*b49*b323 + 1638*b49
    *b324 + 5928*b49*b325 + 3432*b49*b326 + 6630*b49*b327 + 7332*b49*b328 + 
    7020*b49*b329 + 3978*b49*b330 + 234*b49*b331 + 3744*b49*b332 + 5642*b49*
    b333 + 1798*b49*b334 + 62*b49*b336 + 930*b49*b337 + 682*b49*b338 + 2170*b49
    *b339 + 682*b49*b340 + 1240*b49*b341 + 1302*b49*b342 + 3782*b49*b343 + 4960
    *b49*b344 + 3596*b49*b345 + 1302*b49*b346 + 4712*b49*b347 + 2728*b49*b348
     + 5270*b49*b349 + 5828*b49*b350 + 5580*b49*b351 + 3162*b49*b352 + 186*b49*
    b353 + 2976*b49*b354 + 4732*b49*b355 + 1508*b49*b356 + 52*b49*b358 + 780*
    b49*b359 + 572*b49*b360 + 1820*b49*b361 + 572*b49*b362 + 1040*b49*b363 + 
    1092*b49*b364 + 3172*b49*b365 + 4160*b49*b366 + 3016*b49*b367 + 1092*b49*
    b368 + 3952*b49*b369 + 2288*b49*b370 + 4420*b49*b371 + 4888*b49*b372 + 4680
    *b49*b373 + 2652*b49*b374 + 156*b49*b375 + 2496*b49*b376 + 182*b49*b377 + 
    58*b49*b378 + 2*b49*b380 + 30*b49*b381 + 22*b49*b382 + 70*b49*b383 + 22*b49
    *b384 + 40*b49*b385 + 42*b49*b386 + 122*b49*b387 + 160*b49*b388 + 116*b49*
    b389 + 42*b49*b390 + 152*b49*b391 + 88*b49*b392 + 170*b49*b393 + 188*b49*
    b394 + 180*b49*b395 + 102*b49*b396 + 6*b49*b397 + 96*b49*b398 + 15834*b49*
    b399 + 5046*b49*b400 + 174*b49*b402 + 2610*b49*b403 + 1914*b49*b404 + 6090*
    b49*b405 + 1914*b49*b406 + 3480*b49*b407 + 3654*b49*b408 + 10614*b49*b409
     + 13920*b49*b410 + 10092*b49*b411 + 3654*b49*b412 + 13224*b49*b413 + 7656*
    b49*b414 + 14790*b49*b415 + 16356*b49*b416 + 15660*b49*b417 + 8874*b49*b418
     + 522*b49*b419 + 8352*b49*b420 + 13104*b49*b421 + 4176*b49*b422 + 144*b49*
    b424 + 2160*b49*b425 + 1584*b49*b426 + 5040*b49*b427 + 1584*b49*b428 + 2880
    *b49*b429 + 3024*b49*b430 + 8784*b49*b431 + 11520*b49*b432 + 8352*b49*b433
     + 3024*b49*b434 + 10944*b49*b435 + 6336*b49*b436 + 12240*b49*b437 + 13536*
    b49*b438 + 12960*b49*b439 + 7344*b49*b440 + 432*b49*b441 + 6912*b49*b442 + 
    10738*b49*b443 + 3422*b49*b444 + 118*b49*b446 + 1770*b49*b447 + 1298*b49*
    b448 + 4130*b49*b449 + 1298*b49*b450 + 2360*b49*b451 + 2478*b49*b452 + 7198
    *b49*b453 + 9440*b49*b454 + 6844*b49*b455 + 2478*b49*b456 + 8968*b49*b457
     + 5192*b49*b458 + 10030*b49*b459 + 11092*b49*b460 + 10620*b49*b461 + 6018*
    b49*b462 + 354*b49*b463 + 5664*b49*b464 + 17654*b49*b465 + 5626*b49*b466 + 
    194*b49*b468 + 2910*b49*b469 + 2134*b49*b470 + 6790*b49*b471 + 2134*b49*
    b472 + 3880*b49*b473 + 4074*b49*b474 + 11834*b49*b475 + 15520*b49*b476 + 
    11252*b49*b477 + 4074*b49*b478 + 14744*b49*b479 + 8536*b49*b480 + 16490*b49
    *b481 + 18236*b49*b482 + 17460*b49*b483 + 9894*b49*b484 + 582*b49*b485 + 
    9312*b49*b486 + 8372*b49*b487 + 2668*b49*b488 + 92*b49*b490 + 1380*b49*b491
     + 1012*b49*b492 + 3220*b49*b493 + 1012*b49*b494 + 1840*b49*b495 + 1932*b49
    *b496 + 5612*b49*b497 + 7360*b49*b498 + 5336*b49*b499 + 1932*b49*b500 + 
    6992*b49*b501 + 4048*b49*b502 + 7820*b49*b503 + 8648*b49*b504 + 8280*b49*
    b505 + 4692*b49*b506 + 276*b49*b507 + 4416*b49*b508 + 11284*b49*b509 + 3596
    *b49*b510 + 124*b49*b512 + 1860*b49*b513 + 1364*b49*b514 + 4340*b49*b515 + 
    1364*b49*b516 + 2480*b49*b517 + 2604*b49*b518 + 7564*b49*b519 + 9920*b49*
    b520 + 7192*b49*b521 + 2604*b49*b522 + 9424*b49*b523 + 5456*b49*b524 + 
    10540*b49*b525 + 11656*b49*b526 + 11160*b49*b527 + 6324*b49*b528 + 372*b49*
    b529 + 5952*b49*b530 + 15416*b49*b531 + 13536*b49*b532 + 5452*b49*b533 + 
    328*b49*b537 + 288*b49*b538 + 116*b49*b539 + 4428*b49*b540 + 3888*b49*b541
     + 1566*b49*b542 + 13448*b49*b543 + 11808*b49*b544 + 4756*b49*b545 + 11644*
    b49*b546 + 10224*b49*b547 + 4118*b49*b548 + 11644*b49*b549 + 10224*b49*b550
     + 4118*b49*b551 + 6560*b49*b552 + 5760*b49*b553 + 2320*b49*b554 + 15252*
    b49*b555 + 13392*b49*b556 + 5394*b49*b557 + 4428*b49*b558 + 3888*b49*b559
     + 1566*b49*b560 + 15252*b49*b561 + 13392*b49*b562 + 5394*b49*b563 + 15088*
    b49*b564 + 13248*b49*b565 + 5336*b49*b566 + 5576*b49*b567 + 4896*b49*b568
     + 1972*b49*b569 + 6396*b49*b570 + 5616*b49*b571 + 2262*b49*b572 + 5084*b49
    *b573 + 4464*b49*b574 + 1798*b49*b575 + 4264*b49*b576 + 3744*b49*b577 + 
    1508*b49*b578 + 164*b49*b579 + 144*b49*b580 + 58*b49*b581 + 14268*b49*b582
     + 12528*b49*b583 + 5046*b49*b584 + 11808*b49*b585 + 10368*b49*b586 + 4176*
    b49*b587 + 9676*b49*b588 + 8496*b49*b589 + 3422*b49*b590 + 15908*b49*b591
     + 13968*b49*b592 + 5626*b49*b593 + 7544*b49*b594 + 6624*b49*b595 + 2668*
    b49*b596 + 10168*b49*b597 + 8928*b49*b598 + 3596*b49*b599 + 3596*b49*b600
     + 124*b49*b602 + 1860*b49*b603 + 1364*b49*b604 + 4340*b49*b605 + 1364*b49*
    b606 + 2480*b49*b607 + 2604*b49*b608 + 7564*b49*b609 + 9920*b49*b610 + 7192
    *b49*b611 + 2604*b49*b612 + 9424*b49*b613 + 8928*b49*b614 + 5456*b49*b615
     + 10540*b49*b616 + 11656*b49*b617 + 11160*b49*b618 + 6324*b49*b619 + 372*
    b49*b620 + 5952*b49*b621 + 3596*b49*b622 + 11284*b49*b623 + 16072*b49*b624
     + 14112*b49*b625 + 5684*b49*b626 + 44*b50*b69 + 328*b50*b70 + 4*b50*b71 + 
    360*b50*b73 + 264*b50*b74 + 164*b50*b75 + 60*b50*b76 + 332*b50*b77 + 384*
    b50*b78 + 296*b50*b79 + 180*b50*b80 + 260*b50*b81 + 160*b50*b82 + 216*b50*
    b83 + 56*b50*b84 + 284*b50*b85 + 308*b50*b86 + 144*b50*b87 + 212*b50*b88 + 
    148*b50*b89 + 104*b50*b90 + 594*b50*b91 + 4428*b50*b92 + 54*b50*b93 + 4860*
    b50*b95 + 3564*b50*b96 + 2214*b50*b97 + 810*b50*b98 + 4482*b50*b99 + 5184*
    b50*b100 + 3996*b50*b101 + 2430*b50*b102 + 3510*b50*b103 + 2160*b50*b104 + 
    2916*b50*b105 + 756*b50*b106 + 3834*b50*b107 + 4158*b50*b108 + 1944*b50*
    b109 + 2862*b50*b110 + 1998*b50*b111 + 1404*b50*b112 + 1804*b50*b113 + 
    13448*b50*b114 + 164*b50*b115 + 14760*b50*b117 + 10824*b50*b118 + 6724*b50*
    b119 + 2460*b50*b120 + 13612*b50*b121 + 15744*b50*b122 + 12136*b50*b123 + 
    7380*b50*b124 + 10660*b50*b125 + 6560*b50*b126 + 8856*b50*b127 + 2296*b50*
    b128 + 11644*b50*b129 + 12628*b50*b130 + 5904*b50*b131 + 8692*b50*b132 + 
    6068*b50*b133 + 4264*b50*b134 + 1562*b50*b135 + 11644*b50*b136 + 142*b50*
    b137 + 12780*b50*b139 + 9372*b50*b140 + 5822*b50*b141 + 2130*b50*b142 + 
    11786*b50*b143 + 13632*b50*b144 + 10508*b50*b145 + 6390*b50*b146 + 9230*b50
    *b147 + 5680*b50*b148 + 7668*b50*b149 + 1988*b50*b150 + 10082*b50*b151 + 
    10934*b50*b152 + 5112*b50*b153 + 7526*b50*b154 + 5254*b50*b155 + 3692*b50*
    b156 + 1562*b50*b157 + 11644*b50*b158 + 142*b50*b159 + 12780*b50*b161 + 
    9372*b50*b162 + 5822*b50*b163 + 2130*b50*b164 + 11786*b50*b165 + 13632*b50*
    b166 + 10508*b50*b167 + 6390*b50*b168 + 9230*b50*b169 + 5680*b50*b170 + 
    7668*b50*b171 + 1988*b50*b172 + 10082*b50*b173 + 10934*b50*b174 + 5112*b50*
    b175 + 7526*b50*b176 + 5254*b50*b177 + 3692*b50*b178 + 880*b50*b179 + 6560*
    b50*b180 + 80*b50*b181 + 7200*b50*b183 + 5280*b50*b184 + 3280*b50*b185 + 
    1200*b50*b186 + 6640*b50*b187 + 7680*b50*b188 + 5920*b50*b189 + 3600*b50*
    b190 + 5200*b50*b191 + 3200*b50*b192 + 4320*b50*b193 + 1120*b50*b194 + 5680
    *b50*b195 + 6160*b50*b196 + 2880*b50*b197 + 4240*b50*b198 + 2960*b50*b199
     + 2080*b50*b200 + 2046*b50*b201 + 15252*b50*b202 + 186*b50*b203 + 16740*
    b50*b205 + 12276*b50*b206 + 7626*b50*b207 + 2790*b50*b208 + 15438*b50*b209
     + 17856*b50*b210 + 13764*b50*b211 + 8370*b50*b212 + 12090*b50*b213 + 7440*
    b50*b214 + 10044*b50*b215 + 2604*b50*b216 + 13206*b50*b217 + 14322*b50*b218
     + 6696*b50*b219 + 9858*b50*b220 + 6882*b50*b221 + 4836*b50*b222 + 594*b50*
    b223 + 4428*b50*b224 + 54*b50*b225 + 4860*b50*b227 + 3564*b50*b228 + 2214*
    b50*b229 + 810*b50*b230 + 4482*b50*b231 + 5184*b50*b232 + 3996*b50*b233 + 
    2430*b50*b234 + 3510*b50*b235 + 2160*b50*b236 + 2916*b50*b237 + 756*b50*
    b238 + 3834*b50*b239 + 4158*b50*b240 + 1944*b50*b241 + 2862*b50*b242 + 1998
    *b50*b243 + 1404*b50*b244 + 2046*b50*b245 + 15252*b50*b246 + 186*b50*b247
     + 16740*b50*b249 + 12276*b50*b250 + 7626*b50*b251 + 2790*b50*b252 + 15438*
    b50*b253 + 17856*b50*b254 + 13764*b50*b255 + 8370*b50*b256 + 12090*b50*b257
     + 7440*b50*b258 + 10044*b50*b259 + 2604*b50*b260 + 13206*b50*b261 + 14322*
    b50*b262 + 6696*b50*b263 + 9858*b50*b264 + 6882*b50*b265 + 4836*b50*b266 + 
    2024*b50*b267 + 15088*b50*b268 + 184*b50*b269 + 16560*b50*b271 + 12144*b50*
    b272 + 7544*b50*b273 + 2760*b50*b274 + 15272*b50*b275 + 17664*b50*b276 + 
    13616*b50*b277 + 8280*b50*b278 + 11960*b50*b279 + 7360*b50*b280 + 9936*b50*
    b281 + 2576*b50*b282 + 13064*b50*b283 + 14168*b50*b284 + 6624*b50*b285 + 
    9752*b50*b286 + 6808*b50*b287 + 4784*b50*b288 + 748*b50*b289 + 5576*b50*
    b290 + 68*b50*b291 + 6120*b50*b293 + 4488*b50*b294 + 2788*b50*b295 + 1020*
    b50*b296 + 5644*b50*b297 + 6528*b50*b298 + 5032*b50*b299 + 3060*b50*b300 + 
    4420*b50*b301 + 2720*b50*b302 + 3672*b50*b303 + 952*b50*b304 + 4828*b50*
    b305 + 5236*b50*b306 + 2448*b50*b307 + 3604*b50*b308 + 2516*b50*b309 + 1768
    *b50*b310 + 858*b50*b311 + 6396*b50*b312 + 78*b50*b313 + 7020*b50*b315 + 
    5148*b50*b316 + 3198*b50*b317 + 1170*b50*b318 + 6474*b50*b319 + 7488*b50*
    b320 + 5772*b50*b321 + 3510*b50*b322 + 5070*b50*b323 + 3120*b50*b324 + 4212
    *b50*b325 + 1092*b50*b326 + 5538*b50*b327 + 6006*b50*b328 + 2808*b50*b329
     + 4134*b50*b330 + 2886*b50*b331 + 2028*b50*b332 + 682*b50*b333 + 5084*b50*
    b334 + 62*b50*b335 + 5580*b50*b337 + 4092*b50*b338 + 2542*b50*b339 + 930*
    b50*b340 + 5146*b50*b341 + 5952*b50*b342 + 4588*b50*b343 + 2790*b50*b344 + 
    4030*b50*b345 + 2480*b50*b346 + 3348*b50*b347 + 868*b50*b348 + 4402*b50*
    b349 + 4774*b50*b350 + 2232*b50*b351 + 3286*b50*b352 + 2294*b50*b353 + 1612
    *b50*b354 + 572*b50*b355 + 4264*b50*b356 + 52*b50*b357 + 4680*b50*b359 + 
    3432*b50*b360 + 2132*b50*b361 + 780*b50*b362 + 4316*b50*b363 + 4992*b50*
    b364 + 3848*b50*b365 + 2340*b50*b366 + 3380*b50*b367 + 2080*b50*b368 + 2808
    *b50*b369 + 728*b50*b370 + 3692*b50*b371 + 4004*b50*b372 + 1872*b50*b373 + 
    2756*b50*b374 + 1924*b50*b375 + 1352*b50*b376 + 22*b50*b377 + 164*b50*b378
     + 2*b50*b379 + 180*b50*b381 + 132*b50*b382 + 82*b50*b383 + 30*b50*b384 + 
    166*b50*b385 + 192*b50*b386 + 148*b50*b387 + 90*b50*b388 + 130*b50*b389 + 
    80*b50*b390 + 108*b50*b391 + 28*b50*b392 + 142*b50*b393 + 154*b50*b394 + 72
    *b50*b395 + 106*b50*b396 + 74*b50*b397 + 52*b50*b398 + 1914*b50*b399 + 
    14268*b50*b400 + 174*b50*b401 + 15660*b50*b403 + 11484*b50*b404 + 7134*b50*
    b405 + 2610*b50*b406 + 14442*b50*b407 + 16704*b50*b408 + 12876*b50*b409 + 
    7830*b50*b410 + 11310*b50*b411 + 6960*b50*b412 + 9396*b50*b413 + 2436*b50*
    b414 + 12354*b50*b415 + 13398*b50*b416 + 6264*b50*b417 + 9222*b50*b418 + 
    6438*b50*b419 + 4524*b50*b420 + 1584*b50*b421 + 11808*b50*b422 + 144*b50*
    b423 + 12960*b50*b425 + 9504*b50*b426 + 5904*b50*b427 + 2160*b50*b428 + 
    11952*b50*b429 + 13824*b50*b430 + 10656*b50*b431 + 6480*b50*b432 + 9360*b50
    *b433 + 5760*b50*b434 + 7776*b50*b435 + 2016*b50*b436 + 10224*b50*b437 + 
    11088*b50*b438 + 5184*b50*b439 + 7632*b50*b440 + 5328*b50*b441 + 3744*b50*
    b442 + 1298*b50*b443 + 9676*b50*b444 + 118*b50*b445 + 10620*b50*b447 + 7788
    *b50*b448 + 4838*b50*b449 + 1770*b50*b450 + 9794*b50*b451 + 11328*b50*b452
     + 8732*b50*b453 + 5310*b50*b454 + 7670*b50*b455 + 4720*b50*b456 + 6372*b50
    *b457 + 1652*b50*b458 + 8378*b50*b459 + 9086*b50*b460 + 4248*b50*b461 + 
    6254*b50*b462 + 4366*b50*b463 + 3068*b50*b464 + 2134*b50*b465 + 15908*b50*
    b466 + 194*b50*b467 + 17460*b50*b469 + 12804*b50*b470 + 7954*b50*b471 + 
    2910*b50*b472 + 16102*b50*b473 + 18624*b50*b474 + 14356*b50*b475 + 8730*b50
    *b476 + 12610*b50*b477 + 7760*b50*b478 + 10476*b50*b479 + 2716*b50*b480 + 
    13774*b50*b481 + 14938*b50*b482 + 6984*b50*b483 + 10282*b50*b484 + 7178*b50
    *b485 + 5044*b50*b486 + 1012*b50*b487 + 7544*b50*b488 + 92*b50*b489 + 8280*
    b50*b491 + 6072*b50*b492 + 3772*b50*b493 + 1380*b50*b494 + 7636*b50*b495 + 
    8832*b50*b496 + 6808*b50*b497 + 4140*b50*b498 + 5980*b50*b499 + 3680*b50*
    b500 + 4968*b50*b501 + 1288*b50*b502 + 6532*b50*b503 + 7084*b50*b504 + 3312
    *b50*b505 + 4876*b50*b506 + 3404*b50*b507 + 2392*b50*b508 + 1364*b50*b509
     + 10168*b50*b510 + 124*b50*b511 + 11160*b50*b513 + 8184*b50*b514 + 5084*
    b50*b515 + 1860*b50*b516 + 10292*b50*b517 + 11904*b50*b518 + 9176*b50*b519
     + 5580*b50*b520 + 8060*b50*b521 + 4960*b50*b522 + 6696*b50*b523 + 1736*b50
    *b524 + 8804*b50*b525 + 9548*b50*b526 + 4464*b50*b527 + 6572*b50*b528 + 
    4588*b50*b529 + 3224*b50*b530 + 10528*b50*b531 + 15604*b50*b532 + 16356*b50
    *b533 + 224*b50*b537 + 332*b50*b538 + 348*b50*b539 + 3024*b50*b540 + 4482*
    b50*b541 + 4698*b50*b542 + 9184*b50*b543 + 13612*b50*b544 + 14268*b50*b545
     + 7952*b50*b546 + 11786*b50*b547 + 12354*b50*b548 + 7952*b50*b549 + 11786*
    b50*b550 + 12354*b50*b551 + 4480*b50*b552 + 6640*b50*b553 + 6960*b50*b554
     + 10416*b50*b555 + 15438*b50*b556 + 16182*b50*b557 + 3024*b50*b558 + 4482*
    b50*b559 + 4698*b50*b560 + 10416*b50*b561 + 15438*b50*b562 + 16182*b50*b563
     + 10304*b50*b564 + 15272*b50*b565 + 16008*b50*b566 + 3808*b50*b567 + 5644*
    b50*b568 + 5916*b50*b569 + 4368*b50*b570 + 6474*b50*b571 + 6786*b50*b572 + 
    3472*b50*b573 + 5146*b50*b574 + 5394*b50*b575 + 2912*b50*b576 + 4316*b50*
    b577 + 4524*b50*b578 + 112*b50*b579 + 166*b50*b580 + 174*b50*b581 + 9744*
    b50*b582 + 14442*b50*b583 + 15138*b50*b584 + 8064*b50*b585 + 11952*b50*b586
     + 12528*b50*b587 + 6608*b50*b588 + 9794*b50*b589 + 10266*b50*b590 + 10864*
    b50*b591 + 16102*b50*b592 + 16878*b50*b593 + 5152*b50*b594 + 7636*b50*b595
     + 8004*b50*b596 + 6944*b50*b597 + 10292*b50*b598 + 10788*b50*b599 + 10168*
    b50*b600 + 124*b50*b601 + 11160*b50*b603 + 8184*b50*b604 + 5084*b50*b605 + 
    1860*b50*b606 + 10292*b50*b607 + 11904*b50*b608 + 9176*b50*b609 + 5580*b50*
    b610 + 8060*b50*b611 + 4960*b50*b612 + 6696*b50*b613 + 10292*b50*b614 + 
    1736*b50*b615 + 8804*b50*b616 + 9548*b50*b617 + 4464*b50*b618 + 6572*b50*
    b619 + 4588*b50*b620 + 3224*b50*b621 + 10788*b50*b622 + 1364*b50*b623 + 
    10976*b50*b624 + 16268*b50*b625 + 17052*b50*b626 + 140*b51*b69 + 328*b51*
    b70 + 60*b51*b71 + 360*b51*b72 + 304*b51*b74 + 364*b51*b75 + 52*b51*b76 + 
    116*b51*b77 + 44*b51*b78 + 308*b51*b79 + 128*b51*b80 + 348*b51*b81 + 268*
    b51*b82 + 376*b51*b83 + 8*b51*b84 + 40*b51*b85 + 396*b51*b86 + 224*b51*b87
     + 280*b51*b88 + 396*b51*b89 + 240*b51*b90 + 1890*b51*b91 + 4428*b51*b92 + 
    810*b51*b93 + 4860*b51*b94 + 4104*b51*b96 + 4914*b51*b97 + 702*b51*b98 + 
    1566*b51*b99 + 594*b51*b100 + 4158*b51*b101 + 1728*b51*b102 + 4698*b51*b103
     + 3618*b51*b104 + 5076*b51*b105 + 108*b51*b106 + 540*b51*b107 + 5346*b51*
    b108 + 3024*b51*b109 + 3780*b51*b110 + 5346*b51*b111 + 3240*b51*b112 + 5740
    *b51*b113 + 13448*b51*b114 + 2460*b51*b115 + 14760*b51*b116 + 12464*b51*
    b118 + 14924*b51*b119 + 2132*b51*b120 + 4756*b51*b121 + 1804*b51*b122 + 
    12628*b51*b123 + 5248*b51*b124 + 14268*b51*b125 + 10988*b51*b126 + 15416*
    b51*b127 + 328*b51*b128 + 1640*b51*b129 + 16236*b51*b130 + 9184*b51*b131 + 
    11480*b51*b132 + 16236*b51*b133 + 9840*b51*b134 + 4970*b51*b135 + 11644*b51
    *b136 + 2130*b51*b137 + 12780*b51*b138 + 10792*b51*b140 + 12922*b51*b141 + 
    1846*b51*b142 + 4118*b51*b143 + 1562*b51*b144 + 10934*b51*b145 + 4544*b51*
    b146 + 12354*b51*b147 + 9514*b51*b148 + 13348*b51*b149 + 284*b51*b150 + 
    1420*b51*b151 + 14058*b51*b152 + 7952*b51*b153 + 9940*b51*b154 + 14058*b51*
    b155 + 8520*b51*b156 + 4970*b51*b157 + 11644*b51*b158 + 2130*b51*b159 + 
    12780*b51*b160 + 10792*b51*b162 + 12922*b51*b163 + 1846*b51*b164 + 4118*b51
    *b165 + 1562*b51*b166 + 10934*b51*b167 + 4544*b51*b168 + 12354*b51*b169 + 
    9514*b51*b170 + 13348*b51*b171 + 284*b51*b172 + 1420*b51*b173 + 14058*b51*
    b174 + 7952*b51*b175 + 9940*b51*b176 + 14058*b51*b177 + 8520*b51*b178 + 
    2800*b51*b179 + 6560*b51*b180 + 1200*b51*b181 + 7200*b51*b182 + 6080*b51*
    b184 + 7280*b51*b185 + 1040*b51*b186 + 2320*b51*b187 + 880*b51*b188 + 6160*
    b51*b189 + 2560*b51*b190 + 6960*b51*b191 + 5360*b51*b192 + 7520*b51*b193 + 
    160*b51*b194 + 800*b51*b195 + 7920*b51*b196 + 4480*b51*b197 + 5600*b51*b198
     + 7920*b51*b199 + 4800*b51*b200 + 6510*b51*b201 + 15252*b51*b202 + 2790*
    b51*b203 + 16740*b51*b204 + 14136*b51*b206 + 16926*b51*b207 + 2418*b51*b208
     + 5394*b51*b209 + 2046*b51*b210 + 14322*b51*b211 + 5952*b51*b212 + 16182*
    b51*b213 + 12462*b51*b214 + 17484*b51*b215 + 372*b51*b216 + 1860*b51*b217
     + 18414*b51*b218 + 10416*b51*b219 + 13020*b51*b220 + 18414*b51*b221 + 
    11160*b51*b222 + 1890*b51*b223 + 4428*b51*b224 + 810*b51*b225 + 4860*b51*
    b226 + 4104*b51*b228 + 4914*b51*b229 + 702*b51*b230 + 1566*b51*b231 + 594*
    b51*b232 + 4158*b51*b233 + 1728*b51*b234 + 4698*b51*b235 + 3618*b51*b236 + 
    5076*b51*b237 + 108*b51*b238 + 540*b51*b239 + 5346*b51*b240 + 3024*b51*b241
     + 3780*b51*b242 + 5346*b51*b243 + 3240*b51*b244 + 6510*b51*b245 + 15252*
    b51*b246 + 2790*b51*b247 + 16740*b51*b248 + 14136*b51*b250 + 16926*b51*b251
     + 2418*b51*b252 + 5394*b51*b253 + 2046*b51*b254 + 14322*b51*b255 + 5952*
    b51*b256 + 16182*b51*b257 + 12462*b51*b258 + 17484*b51*b259 + 372*b51*b260
     + 1860*b51*b261 + 18414*b51*b262 + 10416*b51*b263 + 13020*b51*b264 + 18414
    *b51*b265 + 11160*b51*b266 + 6440*b51*b267 + 15088*b51*b268 + 2760*b51*b269
     + 16560*b51*b270 + 13984*b51*b272 + 16744*b51*b273 + 2392*b51*b274 + 5336*
    b51*b275 + 2024*b51*b276 + 14168*b51*b277 + 5888*b51*b278 + 16008*b51*b279
     + 12328*b51*b280 + 17296*b51*b281 + 368*b51*b282 + 1840*b51*b283 + 18216*
    b51*b284 + 10304*b51*b285 + 12880*b51*b286 + 18216*b51*b287 + 11040*b51*
    b288 + 2380*b51*b289 + 5576*b51*b290 + 1020*b51*b291 + 6120*b51*b292 + 5168
    *b51*b294 + 6188*b51*b295 + 884*b51*b296 + 1972*b51*b297 + 748*b51*b298 + 
    5236*b51*b299 + 2176*b51*b300 + 5916*b51*b301 + 4556*b51*b302 + 6392*b51*
    b303 + 136*b51*b304 + 680*b51*b305 + 6732*b51*b306 + 3808*b51*b307 + 4760*
    b51*b308 + 6732*b51*b309 + 4080*b51*b310 + 2730*b51*b311 + 6396*b51*b312 + 
    1170*b51*b313 + 7020*b51*b314 + 5928*b51*b316 + 7098*b51*b317 + 1014*b51*
    b318 + 2262*b51*b319 + 858*b51*b320 + 6006*b51*b321 + 2496*b51*b322 + 6786*
    b51*b323 + 5226*b51*b324 + 7332*b51*b325 + 156*b51*b326 + 780*b51*b327 + 
    7722*b51*b328 + 4368*b51*b329 + 5460*b51*b330 + 7722*b51*b331 + 4680*b51*
    b332 + 2170*b51*b333 + 5084*b51*b334 + 930*b51*b335 + 5580*b51*b336 + 4712*
    b51*b338 + 5642*b51*b339 + 806*b51*b340 + 1798*b51*b341 + 682*b51*b342 + 
    4774*b51*b343 + 1984*b51*b344 + 5394*b51*b345 + 4154*b51*b346 + 5828*b51*
    b347 + 124*b51*b348 + 620*b51*b349 + 6138*b51*b350 + 3472*b51*b351 + 4340*
    b51*b352 + 6138*b51*b353 + 3720*b51*b354 + 1820*b51*b355 + 4264*b51*b356 + 
    780*b51*b357 + 4680*b51*b358 + 3952*b51*b360 + 4732*b51*b361 + 676*b51*b362
     + 1508*b51*b363 + 572*b51*b364 + 4004*b51*b365 + 1664*b51*b366 + 4524*b51*
    b367 + 3484*b51*b368 + 4888*b51*b369 + 104*b51*b370 + 520*b51*b371 + 5148*
    b51*b372 + 2912*b51*b373 + 3640*b51*b374 + 5148*b51*b375 + 3120*b51*b376 + 
    70*b51*b377 + 164*b51*b378 + 30*b51*b379 + 180*b51*b380 + 152*b51*b382 + 
    182*b51*b383 + 26*b51*b384 + 58*b51*b385 + 22*b51*b386 + 154*b51*b387 + 64*
    b51*b388 + 174*b51*b389 + 134*b51*b390 + 188*b51*b391 + 4*b51*b392 + 20*b51
    *b393 + 198*b51*b394 + 112*b51*b395 + 140*b51*b396 + 198*b51*b397 + 120*b51
    *b398 + 6090*b51*b399 + 14268*b51*b400 + 2610*b51*b401 + 15660*b51*b402 + 
    13224*b51*b404 + 15834*b51*b405 + 2262*b51*b406 + 5046*b51*b407 + 1914*b51*
    b408 + 13398*b51*b409 + 5568*b51*b410 + 15138*b51*b411 + 11658*b51*b412 + 
    16356*b51*b413 + 348*b51*b414 + 1740*b51*b415 + 17226*b51*b416 + 9744*b51*
    b417 + 12180*b51*b418 + 17226*b51*b419 + 10440*b51*b420 + 5040*b51*b421 + 
    11808*b51*b422 + 2160*b51*b423 + 12960*b51*b424 + 10944*b51*b426 + 13104*
    b51*b427 + 1872*b51*b428 + 4176*b51*b429 + 1584*b51*b430 + 11088*b51*b431
     + 4608*b51*b432 + 12528*b51*b433 + 9648*b51*b434 + 13536*b51*b435 + 288*
    b51*b436 + 1440*b51*b437 + 14256*b51*b438 + 8064*b51*b439 + 10080*b51*b440
     + 14256*b51*b441 + 8640*b51*b442 + 4130*b51*b443 + 9676*b51*b444 + 1770*
    b51*b445 + 10620*b51*b446 + 8968*b51*b448 + 10738*b51*b449 + 1534*b51*b450
     + 3422*b51*b451 + 1298*b51*b452 + 9086*b51*b453 + 3776*b51*b454 + 10266*
    b51*b455 + 7906*b51*b456 + 11092*b51*b457 + 236*b51*b458 + 1180*b51*b459 + 
    11682*b51*b460 + 6608*b51*b461 + 8260*b51*b462 + 11682*b51*b463 + 7080*b51*
    b464 + 6790*b51*b465 + 15908*b51*b466 + 2910*b51*b467 + 17460*b51*b468 + 
    14744*b51*b470 + 17654*b51*b471 + 2522*b51*b472 + 5626*b51*b473 + 2134*b51*
    b474 + 14938*b51*b475 + 6208*b51*b476 + 16878*b51*b477 + 12998*b51*b478 + 
    18236*b51*b479 + 388*b51*b480 + 1940*b51*b481 + 19206*b51*b482 + 10864*b51*
    b483 + 13580*b51*b484 + 19206*b51*b485 + 11640*b51*b486 + 3220*b51*b487 + 
    7544*b51*b488 + 1380*b51*b489 + 8280*b51*b490 + 6992*b51*b492 + 8372*b51*
    b493 + 1196*b51*b494 + 2668*b51*b495 + 1012*b51*b496 + 7084*b51*b497 + 2944
    *b51*b498 + 8004*b51*b499 + 6164*b51*b500 + 8648*b51*b501 + 184*b51*b502 + 
    920*b51*b503 + 9108*b51*b504 + 5152*b51*b505 + 6440*b51*b506 + 9108*b51*
    b507 + 5520*b51*b508 + 4340*b51*b509 + 10168*b51*b510 + 1860*b51*b511 + 
    11160*b51*b512 + 9424*b51*b514 + 11284*b51*b515 + 1612*b51*b516 + 3596*b51*
    b517 + 1364*b51*b518 + 9548*b51*b519 + 3968*b51*b520 + 10788*b51*b521 + 
    8308*b51*b522 + 11656*b51*b523 + 248*b51*b524 + 1240*b51*b525 + 12276*b51*
    b526 + 6944*b51*b527 + 8680*b51*b528 + 12276*b51*b529 + 7440*b51*b530 + 
    7708*b51*b531 + 14852*b51*b532 + 752*b51*b533 + 164*b51*b537 + 316*b51*b538
     + 16*b51*b539 + 2214*b51*b540 + 4266*b51*b541 + 216*b51*b542 + 6724*b51*
    b543 + 12956*b51*b544 + 656*b51*b545 + 5822*b51*b546 + 11218*b51*b547 + 568
    *b51*b548 + 5822*b51*b549 + 11218*b51*b550 + 568*b51*b551 + 3280*b51*b552
     + 6320*b51*b553 + 320*b51*b554 + 7626*b51*b555 + 14694*b51*b556 + 744*b51*
    b557 + 2214*b51*b558 + 4266*b51*b559 + 216*b51*b560 + 7626*b51*b561 + 14694
    *b51*b562 + 744*b51*b563 + 7544*b51*b564 + 14536*b51*b565 + 736*b51*b566 + 
    2788*b51*b567 + 5372*b51*b568 + 272*b51*b569 + 3198*b51*b570 + 6162*b51*
    b571 + 312*b51*b572 + 2542*b51*b573 + 4898*b51*b574 + 248*b51*b575 + 2132*
    b51*b576 + 4108*b51*b577 + 208*b51*b578 + 82*b51*b579 + 158*b51*b580 + 8*
    b51*b581 + 7134*b51*b582 + 13746*b51*b583 + 696*b51*b584 + 5904*b51*b585 + 
    11376*b51*b586 + 576*b51*b587 + 4838*b51*b588 + 9322*b51*b589 + 472*b51*
    b590 + 7954*b51*b591 + 15326*b51*b592 + 776*b51*b593 + 3772*b51*b594 + 7268
    *b51*b595 + 368*b51*b596 + 5084*b51*b597 + 9796*b51*b598 + 496*b51*b599 + 
    10168*b51*b600 + 1860*b51*b601 + 11160*b51*b602 + 9424*b51*b604 + 11284*b51
    *b605 + 1612*b51*b606 + 3596*b51*b607 + 1364*b51*b608 + 9548*b51*b609 + 
    3968*b51*b610 + 10788*b51*b611 + 8308*b51*b612 + 11656*b51*b613 + 9796*b51*
    b614 + 248*b51*b615 + 1240*b51*b616 + 12276*b51*b617 + 6944*b51*b618 + 8680
    *b51*b619 + 12276*b51*b620 + 7440*b51*b621 + 496*b51*b622 + 4340*b51*b623
     + 8036*b51*b624 + 15484*b51*b625 + 784*b51*b626 + 328*b52*b69 + 24*b52*b70
     + 44*b52*b71 + 264*b52*b72 + 304*b52*b73 + 224*b52*b75 + 8*b52*b76 + 240*
    b52*b77 + 288*b52*b78 + 296*b52*b79 + 184*b52*b80 + 52*b52*b81 + 80*b52*b82
     + 344*b52*b83 + 308*b52*b84 + 60*b52*b85 + 356*b52*b86 + 192*b52*b87 + 56*
    b52*b88 + 356*b52*b89 + 176*b52*b90 + 4428*b52*b91 + 324*b52*b92 + 594*b52*
    b93 + 3564*b52*b94 + 4104*b52*b95 + 3024*b52*b97 + 108*b52*b98 + 3240*b52*
    b99 + 3888*b52*b100 + 3996*b52*b101 + 2484*b52*b102 + 702*b52*b103 + 1080*
    b52*b104 + 4644*b52*b105 + 4158*b52*b106 + 810*b52*b107 + 4806*b52*b108 + 
    2592*b52*b109 + 756*b52*b110 + 4806*b52*b111 + 2376*b52*b112 + 13448*b52*
    b113 + 984*b52*b114 + 1804*b52*b115 + 10824*b52*b116 + 12464*b52*b117 + 
    9184*b52*b119 + 328*b52*b120 + 9840*b52*b121 + 11808*b52*b122 + 12136*b52*
    b123 + 7544*b52*b124 + 2132*b52*b125 + 3280*b52*b126 + 14104*b52*b127 + 
    12628*b52*b128 + 2460*b52*b129 + 14596*b52*b130 + 7872*b52*b131 + 2296*b52*
    b132 + 14596*b52*b133 + 7216*b52*b134 + 11644*b52*b135 + 852*b52*b136 + 
    1562*b52*b137 + 9372*b52*b138 + 10792*b52*b139 + 7952*b52*b141 + 284*b52*
    b142 + 8520*b52*b143 + 10224*b52*b144 + 10508*b52*b145 + 6532*b52*b146 + 
    1846*b52*b147 + 2840*b52*b148 + 12212*b52*b149 + 10934*b52*b150 + 2130*b52*
    b151 + 12638*b52*b152 + 6816*b52*b153 + 1988*b52*b154 + 12638*b52*b155 + 
    6248*b52*b156 + 11644*b52*b157 + 852*b52*b158 + 1562*b52*b159 + 9372*b52*
    b160 + 10792*b52*b161 + 7952*b52*b163 + 284*b52*b164 + 8520*b52*b165 + 
    10224*b52*b166 + 10508*b52*b167 + 6532*b52*b168 + 1846*b52*b169 + 2840*b52*
    b170 + 12212*b52*b171 + 10934*b52*b172 + 2130*b52*b173 + 12638*b52*b174 + 
    6816*b52*b175 + 1988*b52*b176 + 12638*b52*b177 + 6248*b52*b178 + 6560*b52*
    b179 + 480*b52*b180 + 880*b52*b181 + 5280*b52*b182 + 6080*b52*b183 + 4480*
    b52*b185 + 160*b52*b186 + 4800*b52*b187 + 5760*b52*b188 + 5920*b52*b189 + 
    3680*b52*b190 + 1040*b52*b191 + 1600*b52*b192 + 6880*b52*b193 + 6160*b52*
    b194 + 1200*b52*b195 + 7120*b52*b196 + 3840*b52*b197 + 1120*b52*b198 + 7120
    *b52*b199 + 3520*b52*b200 + 15252*b52*b201 + 1116*b52*b202 + 2046*b52*b203
     + 12276*b52*b204 + 14136*b52*b205 + 10416*b52*b207 + 372*b52*b208 + 11160*
    b52*b209 + 13392*b52*b210 + 13764*b52*b211 + 8556*b52*b212 + 2418*b52*b213
     + 3720*b52*b214 + 15996*b52*b215 + 14322*b52*b216 + 2790*b52*b217 + 16554*
    b52*b218 + 8928*b52*b219 + 2604*b52*b220 + 16554*b52*b221 + 8184*b52*b222
     + 4428*b52*b223 + 324*b52*b224 + 594*b52*b225 + 3564*b52*b226 + 4104*b52*
    b227 + 3024*b52*b229 + 108*b52*b230 + 3240*b52*b231 + 3888*b52*b232 + 3996*
    b52*b233 + 2484*b52*b234 + 702*b52*b235 + 1080*b52*b236 + 4644*b52*b237 + 
    4158*b52*b238 + 810*b52*b239 + 4806*b52*b240 + 2592*b52*b241 + 756*b52*b242
     + 4806*b52*b243 + 2376*b52*b244 + 15252*b52*b245 + 1116*b52*b246 + 2046*
    b52*b247 + 12276*b52*b248 + 14136*b52*b249 + 10416*b52*b251 + 372*b52*b252
     + 11160*b52*b253 + 13392*b52*b254 + 13764*b52*b255 + 8556*b52*b256 + 2418*
    b52*b257 + 3720*b52*b258 + 15996*b52*b259 + 14322*b52*b260 + 2790*b52*b261
     + 16554*b52*b262 + 8928*b52*b263 + 2604*b52*b264 + 16554*b52*b265 + 8184*
    b52*b266 + 15088*b52*b267 + 1104*b52*b268 + 2024*b52*b269 + 12144*b52*b270
     + 13984*b52*b271 + 10304*b52*b273 + 368*b52*b274 + 11040*b52*b275 + 13248*
    b52*b276 + 13616*b52*b277 + 8464*b52*b278 + 2392*b52*b279 + 3680*b52*b280
     + 15824*b52*b281 + 14168*b52*b282 + 2760*b52*b283 + 16376*b52*b284 + 8832*
    b52*b285 + 2576*b52*b286 + 16376*b52*b287 + 8096*b52*b288 + 5576*b52*b289
     + 408*b52*b290 + 748*b52*b291 + 4488*b52*b292 + 5168*b52*b293 + 3808*b52*
    b295 + 136*b52*b296 + 4080*b52*b297 + 4896*b52*b298 + 5032*b52*b299 + 3128*
    b52*b300 + 884*b52*b301 + 1360*b52*b302 + 5848*b52*b303 + 5236*b52*b304 + 
    1020*b52*b305 + 6052*b52*b306 + 3264*b52*b307 + 952*b52*b308 + 6052*b52*
    b309 + 2992*b52*b310 + 6396*b52*b311 + 468*b52*b312 + 858*b52*b313 + 5148*
    b52*b314 + 5928*b52*b315 + 4368*b52*b317 + 156*b52*b318 + 4680*b52*b319 + 
    5616*b52*b320 + 5772*b52*b321 + 3588*b52*b322 + 1014*b52*b323 + 1560*b52*
    b324 + 6708*b52*b325 + 6006*b52*b326 + 1170*b52*b327 + 6942*b52*b328 + 3744
    *b52*b329 + 1092*b52*b330 + 6942*b52*b331 + 3432*b52*b332 + 5084*b52*b333
     + 372*b52*b334 + 682*b52*b335 + 4092*b52*b336 + 4712*b52*b337 + 3472*b52*
    b339 + 124*b52*b340 + 3720*b52*b341 + 4464*b52*b342 + 4588*b52*b343 + 2852*
    b52*b344 + 806*b52*b345 + 1240*b52*b346 + 5332*b52*b347 + 4774*b52*b348 + 
    930*b52*b349 + 5518*b52*b350 + 2976*b52*b351 + 868*b52*b352 + 5518*b52*b353
     + 2728*b52*b354 + 4264*b52*b355 + 312*b52*b356 + 572*b52*b357 + 3432*b52*
    b358 + 3952*b52*b359 + 2912*b52*b361 + 104*b52*b362 + 3120*b52*b363 + 3744*
    b52*b364 + 3848*b52*b365 + 2392*b52*b366 + 676*b52*b367 + 1040*b52*b368 + 
    4472*b52*b369 + 4004*b52*b370 + 780*b52*b371 + 4628*b52*b372 + 2496*b52*
    b373 + 728*b52*b374 + 4628*b52*b375 + 2288*b52*b376 + 164*b52*b377 + 12*b52
    *b378 + 22*b52*b379 + 132*b52*b380 + 152*b52*b381 + 112*b52*b383 + 4*b52*
    b384 + 120*b52*b385 + 144*b52*b386 + 148*b52*b387 + 92*b52*b388 + 26*b52*
    b389 + 40*b52*b390 + 172*b52*b391 + 154*b52*b392 + 30*b52*b393 + 178*b52*
    b394 + 96*b52*b395 + 28*b52*b396 + 178*b52*b397 + 88*b52*b398 + 14268*b52*
    b399 + 1044*b52*b400 + 1914*b52*b401 + 11484*b52*b402 + 13224*b52*b403 + 
    9744*b52*b405 + 348*b52*b406 + 10440*b52*b407 + 12528*b52*b408 + 12876*b52*
    b409 + 8004*b52*b410 + 2262*b52*b411 + 3480*b52*b412 + 14964*b52*b413 + 
    13398*b52*b414 + 2610*b52*b415 + 15486*b52*b416 + 8352*b52*b417 + 2436*b52*
    b418 + 15486*b52*b419 + 7656*b52*b420 + 11808*b52*b421 + 864*b52*b422 + 
    1584*b52*b423 + 9504*b52*b424 + 10944*b52*b425 + 8064*b52*b427 + 288*b52*
    b428 + 8640*b52*b429 + 10368*b52*b430 + 10656*b52*b431 + 6624*b52*b432 + 
    1872*b52*b433 + 2880*b52*b434 + 12384*b52*b435 + 11088*b52*b436 + 2160*b52*
    b437 + 12816*b52*b438 + 6912*b52*b439 + 2016*b52*b440 + 12816*b52*b441 + 
    6336*b52*b442 + 9676*b52*b443 + 708*b52*b444 + 1298*b52*b445 + 7788*b52*
    b446 + 8968*b52*b447 + 6608*b52*b449 + 236*b52*b450 + 7080*b52*b451 + 8496*
    b52*b452 + 8732*b52*b453 + 5428*b52*b454 + 1534*b52*b455 + 2360*b52*b456 + 
    10148*b52*b457 + 9086*b52*b458 + 1770*b52*b459 + 10502*b52*b460 + 5664*b52*
    b461 + 1652*b52*b462 + 10502*b52*b463 + 5192*b52*b464 + 15908*b52*b465 + 
    1164*b52*b466 + 2134*b52*b467 + 12804*b52*b468 + 14744*b52*b469 + 10864*b52
    *b471 + 388*b52*b472 + 11640*b52*b473 + 13968*b52*b474 + 14356*b52*b475 + 
    8924*b52*b476 + 2522*b52*b477 + 3880*b52*b478 + 16684*b52*b479 + 14938*b52*
    b480 + 2910*b52*b481 + 17266*b52*b482 + 9312*b52*b483 + 2716*b52*b484 + 
    17266*b52*b485 + 8536*b52*b486 + 7544*b52*b487 + 552*b52*b488 + 1012*b52*
    b489 + 6072*b52*b490 + 6992*b52*b491 + 5152*b52*b493 + 184*b52*b494 + 5520*
    b52*b495 + 6624*b52*b496 + 6808*b52*b497 + 4232*b52*b498 + 1196*b52*b499 + 
    1840*b52*b500 + 7912*b52*b501 + 7084*b52*b502 + 1380*b52*b503 + 8188*b52*
    b504 + 4416*b52*b505 + 1288*b52*b506 + 8188*b52*b507 + 4048*b52*b508 + 
    10168*b52*b509 + 744*b52*b510 + 1364*b52*b511 + 8184*b52*b512 + 9424*b52*
    b513 + 6944*b52*b515 + 248*b52*b516 + 7440*b52*b517 + 8928*b52*b518 + 9176*
    b52*b519 + 5704*b52*b520 + 1612*b52*b521 + 2480*b52*b522 + 10664*b52*b523
     + 9548*b52*b524 + 1860*b52*b525 + 11036*b52*b526 + 5952*b52*b527 + 1736*
    b52*b528 + 11036*b52*b529 + 5456*b52*b530 + 1128*b52*b531 + 752*b52*b532 + 
    11092*b52*b533 + 24*b52*b537 + 16*b52*b538 + 236*b52*b539 + 324*b52*b540 + 
    216*b52*b541 + 3186*b52*b542 + 984*b52*b543 + 656*b52*b544 + 9676*b52*b545
     + 852*b52*b546 + 568*b52*b547 + 8378*b52*b548 + 852*b52*b549 + 568*b52*
    b550 + 8378*b52*b551 + 480*b52*b552 + 320*b52*b553 + 4720*b52*b554 + 1116*
    b52*b555 + 744*b52*b556 + 10974*b52*b557 + 324*b52*b558 + 216*b52*b559 + 
    3186*b52*b560 + 1116*b52*b561 + 744*b52*b562 + 10974*b52*b563 + 1104*b52*
    b564 + 736*b52*b565 + 10856*b52*b566 + 408*b52*b567 + 272*b52*b568 + 4012*
    b52*b569 + 468*b52*b570 + 312*b52*b571 + 4602*b52*b572 + 372*b52*b573 + 248
    *b52*b574 + 3658*b52*b575 + 312*b52*b576 + 208*b52*b577 + 3068*b52*b578 + 
    12*b52*b579 + 8*b52*b580 + 118*b52*b581 + 1044*b52*b582 + 696*b52*b583 + 
    10266*b52*b584 + 864*b52*b585 + 576*b52*b586 + 8496*b52*b587 + 708*b52*b588
     + 472*b52*b589 + 6962*b52*b590 + 1164*b52*b591 + 776*b52*b592 + 11446*b52*
    b593 + 552*b52*b594 + 368*b52*b595 + 5428*b52*b596 + 744*b52*b597 + 496*b52
    *b598 + 7316*b52*b599 + 744*b52*b600 + 1364*b52*b601 + 8184*b52*b602 + 9424
    *b52*b603 + 6944*b52*b605 + 248*b52*b606 + 7440*b52*b607 + 8928*b52*b608 + 
    9176*b52*b609 + 5704*b52*b610 + 1612*b52*b611 + 2480*b52*b612 + 10664*b52*
    b613 + 496*b52*b614 + 9548*b52*b615 + 1860*b52*b616 + 11036*b52*b617 + 5952
    *b52*b618 + 1736*b52*b619 + 11036*b52*b620 + 5456*b52*b621 + 7316*b52*b622
     + 10168*b52*b623 + 1176*b52*b624 + 784*b52*b625 + 11564*b52*b626 + 104*b53
    *b69 + 284*b53*b70 + 140*b53*b71 + 164*b53*b72 + 364*b53*b73 + 224*b53*b74
     + 88*b53*b76 + 228*b53*b77 + 252*b53*b78 + 24*b53*b79 + 248*b53*b81 + 164*
    b53*b82 + 248*b53*b83 + 100*b53*b84 + 300*b53*b85 + 304*b53*b86 + 160*b53*
    b87 + 264*b53*b88 + 232*b53*b89 + 120*b53*b90 + 1404*b53*b91 + 3834*b53*b92
     + 1890*b53*b93 + 2214*b53*b94 + 4914*b53*b95 + 3024*b53*b96 + 1188*b53*b98
     + 3078*b53*b99 + 3402*b53*b100 + 324*b53*b101 + 3348*b53*b103 + 2214*b53*
    b104 + 3348*b53*b105 + 1350*b53*b106 + 4050*b53*b107 + 4104*b53*b108 + 2160
    *b53*b109 + 3564*b53*b110 + 3132*b53*b111 + 1620*b53*b112 + 4264*b53*b113
     + 11644*b53*b114 + 5740*b53*b115 + 6724*b53*b116 + 14924*b53*b117 + 9184*
    b53*b118 + 3608*b53*b120 + 9348*b53*b121 + 10332*b53*b122 + 984*b53*b123 + 
    10168*b53*b125 + 6724*b53*b126 + 10168*b53*b127 + 4100*b53*b128 + 12300*b53
    *b129 + 12464*b53*b130 + 6560*b53*b131 + 10824*b53*b132 + 9512*b53*b133 + 
    4920*b53*b134 + 3692*b53*b135 + 10082*b53*b136 + 4970*b53*b137 + 5822*b53*
    b138 + 12922*b53*b139 + 7952*b53*b140 + 3124*b53*b142 + 8094*b53*b143 + 
    8946*b53*b144 + 852*b53*b145 + 8804*b53*b147 + 5822*b53*b148 + 8804*b53*
    b149 + 3550*b53*b150 + 10650*b53*b151 + 10792*b53*b152 + 5680*b53*b153 + 
    9372*b53*b154 + 8236*b53*b155 + 4260*b53*b156 + 3692*b53*b157 + 10082*b53*
    b158 + 4970*b53*b159 + 5822*b53*b160 + 12922*b53*b161 + 7952*b53*b162 + 
    3124*b53*b164 + 8094*b53*b165 + 8946*b53*b166 + 852*b53*b167 + 8804*b53*
    b169 + 5822*b53*b170 + 8804*b53*b171 + 3550*b53*b172 + 10650*b53*b173 + 
    10792*b53*b174 + 5680*b53*b175 + 9372*b53*b176 + 8236*b53*b177 + 4260*b53*
    b178 + 2080*b53*b179 + 5680*b53*b180 + 2800*b53*b181 + 3280*b53*b182 + 7280
    *b53*b183 + 4480*b53*b184 + 1760*b53*b186 + 4560*b53*b187 + 5040*b53*b188
     + 480*b53*b189 + 4960*b53*b191 + 3280*b53*b192 + 4960*b53*b193 + 2000*b53*
    b194 + 6000*b53*b195 + 6080*b53*b196 + 3200*b53*b197 + 5280*b53*b198 + 4640
    *b53*b199 + 2400*b53*b200 + 4836*b53*b201 + 13206*b53*b202 + 6510*b53*b203
     + 7626*b53*b204 + 16926*b53*b205 + 10416*b53*b206 + 4092*b53*b208 + 10602*
    b53*b209 + 11718*b53*b210 + 1116*b53*b211 + 11532*b53*b213 + 7626*b53*b214
     + 11532*b53*b215 + 4650*b53*b216 + 13950*b53*b217 + 14136*b53*b218 + 7440*
    b53*b219 + 12276*b53*b220 + 10788*b53*b221 + 5580*b53*b222 + 1404*b53*b223
     + 3834*b53*b224 + 1890*b53*b225 + 2214*b53*b226 + 4914*b53*b227 + 3024*b53
    *b228 + 1188*b53*b230 + 3078*b53*b231 + 3402*b53*b232 + 324*b53*b233 + 3348
    *b53*b235 + 2214*b53*b236 + 3348*b53*b237 + 1350*b53*b238 + 4050*b53*b239
     + 4104*b53*b240 + 2160*b53*b241 + 3564*b53*b242 + 3132*b53*b243 + 1620*b53
    *b244 + 4836*b53*b245 + 13206*b53*b246 + 6510*b53*b247 + 7626*b53*b248 + 
    16926*b53*b249 + 10416*b53*b250 + 4092*b53*b252 + 10602*b53*b253 + 11718*
    b53*b254 + 1116*b53*b255 + 11532*b53*b257 + 7626*b53*b258 + 11532*b53*b259
     + 4650*b53*b260 + 13950*b53*b261 + 14136*b53*b262 + 7440*b53*b263 + 12276*
    b53*b264 + 10788*b53*b265 + 5580*b53*b266 + 4784*b53*b267 + 13064*b53*b268
     + 6440*b53*b269 + 7544*b53*b270 + 16744*b53*b271 + 10304*b53*b272 + 4048*
    b53*b274 + 10488*b53*b275 + 11592*b53*b276 + 1104*b53*b277 + 11408*b53*b279
     + 7544*b53*b280 + 11408*b53*b281 + 4600*b53*b282 + 13800*b53*b283 + 13984*
    b53*b284 + 7360*b53*b285 + 12144*b53*b286 + 10672*b53*b287 + 5520*b53*b288
     + 1768*b53*b289 + 4828*b53*b290 + 2380*b53*b291 + 2788*b53*b292 + 6188*b53
    *b293 + 3808*b53*b294 + 1496*b53*b296 + 3876*b53*b297 + 4284*b53*b298 + 408
    *b53*b299 + 4216*b53*b301 + 2788*b53*b302 + 4216*b53*b303 + 1700*b53*b304
     + 5100*b53*b305 + 5168*b53*b306 + 2720*b53*b307 + 4488*b53*b308 + 3944*b53
    *b309 + 2040*b53*b310 + 2028*b53*b311 + 5538*b53*b312 + 2730*b53*b313 + 
    3198*b53*b314 + 7098*b53*b315 + 4368*b53*b316 + 1716*b53*b318 + 4446*b53*
    b319 + 4914*b53*b320 + 468*b53*b321 + 4836*b53*b323 + 3198*b53*b324 + 4836*
    b53*b325 + 1950*b53*b326 + 5850*b53*b327 + 5928*b53*b328 + 3120*b53*b329 + 
    5148*b53*b330 + 4524*b53*b331 + 2340*b53*b332 + 1612*b53*b333 + 4402*b53*
    b334 + 2170*b53*b335 + 2542*b53*b336 + 5642*b53*b337 + 3472*b53*b338 + 1364
    *b53*b340 + 3534*b53*b341 + 3906*b53*b342 + 372*b53*b343 + 3844*b53*b345 + 
    2542*b53*b346 + 3844*b53*b347 + 1550*b53*b348 + 4650*b53*b349 + 4712*b53*
    b350 + 2480*b53*b351 + 4092*b53*b352 + 3596*b53*b353 + 1860*b53*b354 + 1352
    *b53*b355 + 3692*b53*b356 + 1820*b53*b357 + 2132*b53*b358 + 4732*b53*b359
     + 2912*b53*b360 + 1144*b53*b362 + 2964*b53*b363 + 3276*b53*b364 + 312*b53*
    b365 + 3224*b53*b367 + 2132*b53*b368 + 3224*b53*b369 + 1300*b53*b370 + 3900
    *b53*b371 + 3952*b53*b372 + 2080*b53*b373 + 3432*b53*b374 + 3016*b53*b375
     + 1560*b53*b376 + 52*b53*b377 + 142*b53*b378 + 70*b53*b379 + 82*b53*b380
     + 182*b53*b381 + 112*b53*b382 + 44*b53*b384 + 114*b53*b385 + 126*b53*b386
     + 12*b53*b387 + 124*b53*b389 + 82*b53*b390 + 124*b53*b391 + 50*b53*b392 + 
    150*b53*b393 + 152*b53*b394 + 80*b53*b395 + 132*b53*b396 + 116*b53*b397 + 
    60*b53*b398 + 4524*b53*b399 + 12354*b53*b400 + 6090*b53*b401 + 7134*b53*
    b402 + 15834*b53*b403 + 9744*b53*b404 + 3828*b53*b406 + 9918*b53*b407 + 
    10962*b53*b408 + 1044*b53*b409 + 10788*b53*b411 + 7134*b53*b412 + 10788*b53
    *b413 + 4350*b53*b414 + 13050*b53*b415 + 13224*b53*b416 + 6960*b53*b417 + 
    11484*b53*b418 + 10092*b53*b419 + 5220*b53*b420 + 3744*b53*b421 + 10224*b53
    *b422 + 5040*b53*b423 + 5904*b53*b424 + 13104*b53*b425 + 8064*b53*b426 + 
    3168*b53*b428 + 8208*b53*b429 + 9072*b53*b430 + 864*b53*b431 + 8928*b53*
    b433 + 5904*b53*b434 + 8928*b53*b435 + 3600*b53*b436 + 10800*b53*b437 + 
    10944*b53*b438 + 5760*b53*b439 + 9504*b53*b440 + 8352*b53*b441 + 4320*b53*
    b442 + 3068*b53*b443 + 8378*b53*b444 + 4130*b53*b445 + 4838*b53*b446 + 
    10738*b53*b447 + 6608*b53*b448 + 2596*b53*b450 + 6726*b53*b451 + 7434*b53*
    b452 + 708*b53*b453 + 7316*b53*b455 + 4838*b53*b456 + 7316*b53*b457 + 2950*
    b53*b458 + 8850*b53*b459 + 8968*b53*b460 + 4720*b53*b461 + 7788*b53*b462 + 
    6844*b53*b463 + 3540*b53*b464 + 5044*b53*b465 + 13774*b53*b466 + 6790*b53*
    b467 + 7954*b53*b468 + 17654*b53*b469 + 10864*b53*b470 + 4268*b53*b472 + 
    11058*b53*b473 + 12222*b53*b474 + 1164*b53*b475 + 12028*b53*b477 + 7954*b53
    *b478 + 12028*b53*b479 + 4850*b53*b480 + 14550*b53*b481 + 14744*b53*b482 + 
    7760*b53*b483 + 12804*b53*b484 + 11252*b53*b485 + 5820*b53*b486 + 2392*b53*
    b487 + 6532*b53*b488 + 3220*b53*b489 + 3772*b53*b490 + 8372*b53*b491 + 5152
    *b53*b492 + 2024*b53*b494 + 5244*b53*b495 + 5796*b53*b496 + 552*b53*b497 + 
    5704*b53*b499 + 3772*b53*b500 + 5704*b53*b501 + 2300*b53*b502 + 6900*b53*
    b503 + 6992*b53*b504 + 3680*b53*b505 + 6072*b53*b506 + 5336*b53*b507 + 2760
    *b53*b508 + 3224*b53*b509 + 8804*b53*b510 + 4340*b53*b511 + 5084*b53*b512
     + 11284*b53*b513 + 6944*b53*b514 + 2728*b53*b516 + 7068*b53*b517 + 7812*
    b53*b518 + 744*b53*b519 + 7688*b53*b521 + 5084*b53*b522 + 7688*b53*b523 + 
    3100*b53*b524 + 9300*b53*b525 + 9424*b53*b526 + 4960*b53*b527 + 8184*b53*
    b528 + 7192*b53*b529 + 3720*b53*b530 + 4700*b53*b531 + 8648*b53*b532 + 
    12784*b53*b533 + 100*b53*b537 + 184*b53*b538 + 272*b53*b539 + 1350*b53*b540
     + 2484*b53*b541 + 3672*b53*b542 + 4100*b53*b543 + 7544*b53*b544 + 11152*
    b53*b545 + 3550*b53*b546 + 6532*b53*b547 + 9656*b53*b548 + 3550*b53*b549 + 
    6532*b53*b550 + 9656*b53*b551 + 2000*b53*b552 + 3680*b53*b553 + 5440*b53*
    b554 + 4650*b53*b555 + 8556*b53*b556 + 12648*b53*b557 + 1350*b53*b558 + 
    2484*b53*b559 + 3672*b53*b560 + 4650*b53*b561 + 8556*b53*b562 + 12648*b53*
    b563 + 4600*b53*b564 + 8464*b53*b565 + 12512*b53*b566 + 1700*b53*b567 + 
    3128*b53*b568 + 4624*b53*b569 + 1950*b53*b570 + 3588*b53*b571 + 5304*b53*
    b572 + 1550*b53*b573 + 2852*b53*b574 + 4216*b53*b575 + 1300*b53*b576 + 2392
    *b53*b577 + 3536*b53*b578 + 50*b53*b579 + 92*b53*b580 + 136*b53*b581 + 4350
    *b53*b582 + 8004*b53*b583 + 11832*b53*b584 + 3600*b53*b585 + 6624*b53*b586
     + 9792*b53*b587 + 2950*b53*b588 + 5428*b53*b589 + 8024*b53*b590 + 4850*b53
    *b591 + 8924*b53*b592 + 13192*b53*b593 + 2300*b53*b594 + 4232*b53*b595 + 
    6256*b53*b596 + 3100*b53*b597 + 5704*b53*b598 + 8432*b53*b599 + 8804*b53*
    b600 + 4340*b53*b601 + 5084*b53*b602 + 11284*b53*b603 + 6944*b53*b604 + 
    2728*b53*b606 + 7068*b53*b607 + 7812*b53*b608 + 744*b53*b609 + 7688*b53*
    b611 + 5084*b53*b612 + 7688*b53*b613 + 5704*b53*b614 + 3100*b53*b615 + 9300
    *b53*b616 + 9424*b53*b617 + 4960*b53*b618 + 8184*b53*b619 + 7192*b53*b620
     + 3720*b53*b621 + 8432*b53*b622 + 3224*b53*b623 + 4900*b53*b624 + 9016*b53
    *b625 + 13328*b53*b626 + 276*b54*b69 + 32*b54*b70 + 44*b54*b71 + 60*b54*b72
     + 52*b54*b73 + 8*b54*b74 + 88*b54*b75 + 312*b54*b77 + 364*b54*b78 + 52*b54
    *b79 + 236*b54*b80 + 196*b54*b81 + 340*b54*b82 + 336*b54*b83 + 152*b54*b84
     + 164*b54*b85 + 224*b54*b86 + 156*b54*b87 + 212*b54*b88 + 308*b54*b89 + 
    200*b54*b90 + 3726*b54*b91 + 432*b54*b92 + 594*b54*b93 + 810*b54*b94 + 702*
    b54*b95 + 108*b54*b96 + 1188*b54*b97 + 4212*b54*b99 + 4914*b54*b100 + 702*
    b54*b101 + 3186*b54*b102 + 2646*b54*b103 + 4590*b54*b104 + 4536*b54*b105 + 
    2052*b54*b106 + 2214*b54*b107 + 3024*b54*b108 + 2106*b54*b109 + 2862*b54*
    b110 + 4158*b54*b111 + 2700*b54*b112 + 11316*b54*b113 + 1312*b54*b114 + 
    1804*b54*b115 + 2460*b54*b116 + 2132*b54*b117 + 328*b54*b118 + 3608*b54*
    b119 + 12792*b54*b121 + 14924*b54*b122 + 2132*b54*b123 + 9676*b54*b124 + 
    8036*b54*b125 + 13940*b54*b126 + 13776*b54*b127 + 6232*b54*b128 + 6724*b54*
    b129 + 9184*b54*b130 + 6396*b54*b131 + 8692*b54*b132 + 12628*b54*b133 + 
    8200*b54*b134 + 9798*b54*b135 + 1136*b54*b136 + 1562*b54*b137 + 2130*b54*
    b138 + 1846*b54*b139 + 284*b54*b140 + 3124*b54*b141 + 11076*b54*b143 + 
    12922*b54*b144 + 1846*b54*b145 + 8378*b54*b146 + 6958*b54*b147 + 12070*b54*
    b148 + 11928*b54*b149 + 5396*b54*b150 + 5822*b54*b151 + 7952*b54*b152 + 
    5538*b54*b153 + 7526*b54*b154 + 10934*b54*b155 + 7100*b54*b156 + 9798*b54*
    b157 + 1136*b54*b158 + 1562*b54*b159 + 2130*b54*b160 + 1846*b54*b161 + 284*
    b54*b162 + 3124*b54*b163 + 11076*b54*b165 + 12922*b54*b166 + 1846*b54*b167
     + 8378*b54*b168 + 6958*b54*b169 + 12070*b54*b170 + 11928*b54*b171 + 5396*
    b54*b172 + 5822*b54*b173 + 7952*b54*b174 + 5538*b54*b175 + 7526*b54*b176 + 
    10934*b54*b177 + 7100*b54*b178 + 5520*b54*b179 + 640*b54*b180 + 880*b54*
    b181 + 1200*b54*b182 + 1040*b54*b183 + 160*b54*b184 + 1760*b54*b185 + 6240*
    b54*b187 + 7280*b54*b188 + 1040*b54*b189 + 4720*b54*b190 + 3920*b54*b191 + 
    6800*b54*b192 + 6720*b54*b193 + 3040*b54*b194 + 3280*b54*b195 + 4480*b54*
    b196 + 3120*b54*b197 + 4240*b54*b198 + 6160*b54*b199 + 4000*b54*b200 + 
    12834*b54*b201 + 1488*b54*b202 + 2046*b54*b203 + 2790*b54*b204 + 2418*b54*
    b205 + 372*b54*b206 + 4092*b54*b207 + 14508*b54*b209 + 16926*b54*b210 + 
    2418*b54*b211 + 10974*b54*b212 + 9114*b54*b213 + 15810*b54*b214 + 15624*b54
    *b215 + 7068*b54*b216 + 7626*b54*b217 + 10416*b54*b218 + 7254*b54*b219 + 
    9858*b54*b220 + 14322*b54*b221 + 9300*b54*b222 + 3726*b54*b223 + 432*b54*
    b224 + 594*b54*b225 + 810*b54*b226 + 702*b54*b227 + 108*b54*b228 + 1188*b54
    *b229 + 4212*b54*b231 + 4914*b54*b232 + 702*b54*b233 + 3186*b54*b234 + 2646
    *b54*b235 + 4590*b54*b236 + 4536*b54*b237 + 2052*b54*b238 + 2214*b54*b239
     + 3024*b54*b240 + 2106*b54*b241 + 2862*b54*b242 + 4158*b54*b243 + 2700*b54
    *b244 + 12834*b54*b245 + 1488*b54*b246 + 2046*b54*b247 + 2790*b54*b248 + 
    2418*b54*b249 + 372*b54*b250 + 4092*b54*b251 + 14508*b54*b253 + 16926*b54*
    b254 + 2418*b54*b255 + 10974*b54*b256 + 9114*b54*b257 + 15810*b54*b258 + 
    15624*b54*b259 + 7068*b54*b260 + 7626*b54*b261 + 10416*b54*b262 + 7254*b54*
    b263 + 9858*b54*b264 + 14322*b54*b265 + 9300*b54*b266 + 12696*b54*b267 + 
    1472*b54*b268 + 2024*b54*b269 + 2760*b54*b270 + 2392*b54*b271 + 368*b54*
    b272 + 4048*b54*b273 + 14352*b54*b275 + 16744*b54*b276 + 2392*b54*b277 + 
    10856*b54*b278 + 9016*b54*b279 + 15640*b54*b280 + 15456*b54*b281 + 6992*b54
    *b282 + 7544*b54*b283 + 10304*b54*b284 + 7176*b54*b285 + 9752*b54*b286 + 
    14168*b54*b287 + 9200*b54*b288 + 4692*b54*b289 + 544*b54*b290 + 748*b54*
    b291 + 1020*b54*b292 + 884*b54*b293 + 136*b54*b294 + 1496*b54*b295 + 5304*
    b54*b297 + 6188*b54*b298 + 884*b54*b299 + 4012*b54*b300 + 3332*b54*b301 + 
    5780*b54*b302 + 5712*b54*b303 + 2584*b54*b304 + 2788*b54*b305 + 3808*b54*
    b306 + 2652*b54*b307 + 3604*b54*b308 + 5236*b54*b309 + 3400*b54*b310 + 5382
    *b54*b311 + 624*b54*b312 + 858*b54*b313 + 1170*b54*b314 + 1014*b54*b315 + 
    156*b54*b316 + 1716*b54*b317 + 6084*b54*b319 + 7098*b54*b320 + 1014*b54*
    b321 + 4602*b54*b322 + 3822*b54*b323 + 6630*b54*b324 + 6552*b54*b325 + 2964
    *b54*b326 + 3198*b54*b327 + 4368*b54*b328 + 3042*b54*b329 + 4134*b54*b330
     + 6006*b54*b331 + 3900*b54*b332 + 4278*b54*b333 + 496*b54*b334 + 682*b54*
    b335 + 930*b54*b336 + 806*b54*b337 + 124*b54*b338 + 1364*b54*b339 + 4836*
    b54*b341 + 5642*b54*b342 + 806*b54*b343 + 3658*b54*b344 + 3038*b54*b345 + 
    5270*b54*b346 + 5208*b54*b347 + 2356*b54*b348 + 2542*b54*b349 + 3472*b54*
    b350 + 2418*b54*b351 + 3286*b54*b352 + 4774*b54*b353 + 3100*b54*b354 + 3588
    *b54*b355 + 416*b54*b356 + 572*b54*b357 + 780*b54*b358 + 676*b54*b359 + 104
    *b54*b360 + 1144*b54*b361 + 4056*b54*b363 + 4732*b54*b364 + 676*b54*b365 + 
    3068*b54*b366 + 2548*b54*b367 + 4420*b54*b368 + 4368*b54*b369 + 1976*b54*
    b370 + 2132*b54*b371 + 2912*b54*b372 + 2028*b54*b373 + 2756*b54*b374 + 4004
    *b54*b375 + 2600*b54*b376 + 138*b54*b377 + 16*b54*b378 + 22*b54*b379 + 30*
    b54*b380 + 26*b54*b381 + 4*b54*b382 + 44*b54*b383 + 156*b54*b385 + 182*b54*
    b386 + 26*b54*b387 + 118*b54*b388 + 98*b54*b389 + 170*b54*b390 + 168*b54*
    b391 + 76*b54*b392 + 82*b54*b393 + 112*b54*b394 + 78*b54*b395 + 106*b54*
    b396 + 154*b54*b397 + 100*b54*b398 + 12006*b54*b399 + 1392*b54*b400 + 1914*
    b54*b401 + 2610*b54*b402 + 2262*b54*b403 + 348*b54*b404 + 3828*b54*b405 + 
    13572*b54*b407 + 15834*b54*b408 + 2262*b54*b409 + 10266*b54*b410 + 8526*b54
    *b411 + 14790*b54*b412 + 14616*b54*b413 + 6612*b54*b414 + 7134*b54*b415 + 
    9744*b54*b416 + 6786*b54*b417 + 9222*b54*b418 + 13398*b54*b419 + 8700*b54*
    b420 + 9936*b54*b421 + 1152*b54*b422 + 1584*b54*b423 + 2160*b54*b424 + 1872
    *b54*b425 + 288*b54*b426 + 3168*b54*b427 + 11232*b54*b429 + 13104*b54*b430
     + 1872*b54*b431 + 8496*b54*b432 + 7056*b54*b433 + 12240*b54*b434 + 12096*
    b54*b435 + 5472*b54*b436 + 5904*b54*b437 + 8064*b54*b438 + 5616*b54*b439 + 
    7632*b54*b440 + 11088*b54*b441 + 7200*b54*b442 + 8142*b54*b443 + 944*b54*
    b444 + 1298*b54*b445 + 1770*b54*b446 + 1534*b54*b447 + 236*b54*b448 + 2596*
    b54*b449 + 9204*b54*b451 + 10738*b54*b452 + 1534*b54*b453 + 6962*b54*b454
     + 5782*b54*b455 + 10030*b54*b456 + 9912*b54*b457 + 4484*b54*b458 + 4838*
    b54*b459 + 6608*b54*b460 + 4602*b54*b461 + 6254*b54*b462 + 9086*b54*b463 + 
    5900*b54*b464 + 13386*b54*b465 + 1552*b54*b466 + 2134*b54*b467 + 2910*b54*
    b468 + 2522*b54*b469 + 388*b54*b470 + 4268*b54*b471 + 15132*b54*b473 + 
    17654*b54*b474 + 2522*b54*b475 + 11446*b54*b476 + 9506*b54*b477 + 16490*b54
    *b478 + 16296*b54*b479 + 7372*b54*b480 + 7954*b54*b481 + 10864*b54*b482 + 
    7566*b54*b483 + 10282*b54*b484 + 14938*b54*b485 + 9700*b54*b486 + 6348*b54*
    b487 + 736*b54*b488 + 1012*b54*b489 + 1380*b54*b490 + 1196*b54*b491 + 184*
    b54*b492 + 2024*b54*b493 + 7176*b54*b495 + 8372*b54*b496 + 1196*b54*b497 + 
    5428*b54*b498 + 4508*b54*b499 + 7820*b54*b500 + 7728*b54*b501 + 3496*b54*
    b502 + 3772*b54*b503 + 5152*b54*b504 + 3588*b54*b505 + 4876*b54*b506 + 7084
    *b54*b507 + 4600*b54*b508 + 8556*b54*b509 + 992*b54*b510 + 1364*b54*b511 + 
    1860*b54*b512 + 1612*b54*b513 + 248*b54*b514 + 2728*b54*b515 + 9672*b54*
    b517 + 11284*b54*b518 + 1612*b54*b519 + 7316*b54*b520 + 6076*b54*b521 + 
    10540*b54*b522 + 10416*b54*b523 + 4712*b54*b524 + 5084*b54*b525 + 6944*b54*
    b526 + 4836*b54*b527 + 6572*b54*b528 + 9548*b54*b529 + 6200*b54*b530 + 1880
    *b54*b531 + 1504*b54*b532 + 5640*b54*b533 + 40*b54*b537 + 32*b54*b538 + 120
    *b54*b539 + 540*b54*b540 + 432*b54*b541 + 1620*b54*b542 + 1640*b54*b543 + 
    1312*b54*b544 + 4920*b54*b545 + 1420*b54*b546 + 1136*b54*b547 + 4260*b54*
    b548 + 1420*b54*b549 + 1136*b54*b550 + 4260*b54*b551 + 800*b54*b552 + 640*
    b54*b553 + 2400*b54*b554 + 1860*b54*b555 + 1488*b54*b556 + 5580*b54*b557 + 
    540*b54*b558 + 432*b54*b559 + 1620*b54*b560 + 1860*b54*b561 + 1488*b54*b562
     + 5580*b54*b563 + 1840*b54*b564 + 1472*b54*b565 + 5520*b54*b566 + 680*b54*
    b567 + 544*b54*b568 + 2040*b54*b569 + 780*b54*b570 + 624*b54*b571 + 2340*
    b54*b572 + 620*b54*b573 + 496*b54*b574 + 1860*b54*b575 + 520*b54*b576 + 416
    *b54*b577 + 1560*b54*b578 + 20*b54*b579 + 16*b54*b580 + 60*b54*b581 + 1740*
    b54*b582 + 1392*b54*b583 + 5220*b54*b584 + 1440*b54*b585 + 1152*b54*b586 + 
    4320*b54*b587 + 1180*b54*b588 + 944*b54*b589 + 3540*b54*b590 + 1940*b54*
    b591 + 1552*b54*b592 + 5820*b54*b593 + 920*b54*b594 + 736*b54*b595 + 2760*
    b54*b596 + 1240*b54*b597 + 992*b54*b598 + 3720*b54*b599 + 992*b54*b600 + 
    1364*b54*b601 + 1860*b54*b602 + 1612*b54*b603 + 248*b54*b604 + 2728*b54*
    b605 + 9672*b54*b607 + 11284*b54*b608 + 1612*b54*b609 + 7316*b54*b610 + 
    6076*b54*b611 + 10540*b54*b612 + 10416*b54*b613 + 992*b54*b614 + 4712*b54*
    b615 + 5084*b54*b616 + 6944*b54*b617 + 4836*b54*b618 + 6572*b54*b619 + 9548
    *b54*b620 + 6200*b54*b621 + 3720*b54*b622 + 8556*b54*b623 + 1960*b54*b624
     + 1568*b54*b625 + 5880*b54*b626 + 224*b55*b69 + 308*b55*b70 + 80*b55*b71
     + 332*b55*b72 + 116*b55*b73 + 240*b55*b74 + 228*b55*b75 + 312*b55*b76 + 
    232*b55*b78 + 220*b55*b79 + 76*b55*b80 + 340*b55*b81 + 208*b55*b82 + 136*
    b55*b83 + 160*b55*b84 + 276*b55*b85 + 48*b55*b86 + 340*b55*b87 + 288*b55*
    b88 + 28*b55*b89 + 196*b55*b90 + 3024*b55*b91 + 4158*b55*b92 + 1080*b55*b93
     + 4482*b55*b94 + 1566*b55*b95 + 3240*b55*b96 + 3078*b55*b97 + 4212*b55*b98
     + 3132*b55*b100 + 2970*b55*b101 + 1026*b55*b102 + 4590*b55*b103 + 2808*b55
    *b104 + 1836*b55*b105 + 2160*b55*b106 + 3726*b55*b107 + 648*b55*b108 + 4590
    *b55*b109 + 3888*b55*b110 + 378*b55*b111 + 2646*b55*b112 + 9184*b55*b113 + 
    12628*b55*b114 + 3280*b55*b115 + 13612*b55*b116 + 4756*b55*b117 + 9840*b55*
    b118 + 9348*b55*b119 + 12792*b55*b120 + 9512*b55*b122 + 9020*b55*b123 + 
    3116*b55*b124 + 13940*b55*b125 + 8528*b55*b126 + 5576*b55*b127 + 6560*b55*
    b128 + 11316*b55*b129 + 1968*b55*b130 + 13940*b55*b131 + 11808*b55*b132 + 
    1148*b55*b133 + 8036*b55*b134 + 7952*b55*b135 + 10934*b55*b136 + 2840*b55*
    b137 + 11786*b55*b138 + 4118*b55*b139 + 8520*b55*b140 + 8094*b55*b141 + 
    11076*b55*b142 + 8236*b55*b144 + 7810*b55*b145 + 2698*b55*b146 + 12070*b55*
    b147 + 7384*b55*b148 + 4828*b55*b149 + 5680*b55*b150 + 9798*b55*b151 + 1704
    *b55*b152 + 12070*b55*b153 + 10224*b55*b154 + 994*b55*b155 + 6958*b55*b156
     + 7952*b55*b157 + 10934*b55*b158 + 2840*b55*b159 + 11786*b55*b160 + 4118*
    b55*b161 + 8520*b55*b162 + 8094*b55*b163 + 11076*b55*b164 + 8236*b55*b166
     + 7810*b55*b167 + 2698*b55*b168 + 12070*b55*b169 + 7384*b55*b170 + 4828*
    b55*b171 + 5680*b55*b172 + 9798*b55*b173 + 1704*b55*b174 + 12070*b55*b175
     + 10224*b55*b176 + 994*b55*b177 + 6958*b55*b178 + 4480*b55*b179 + 6160*b55
    *b180 + 1600*b55*b181 + 6640*b55*b182 + 2320*b55*b183 + 4800*b55*b184 + 
    4560*b55*b185 + 6240*b55*b186 + 4640*b55*b188 + 4400*b55*b189 + 1520*b55*
    b190 + 6800*b55*b191 + 4160*b55*b192 + 2720*b55*b193 + 3200*b55*b194 + 5520
    *b55*b195 + 960*b55*b196 + 6800*b55*b197 + 5760*b55*b198 + 560*b55*b199 + 
    3920*b55*b200 + 10416*b55*b201 + 14322*b55*b202 + 3720*b55*b203 + 15438*b55
    *b204 + 5394*b55*b205 + 11160*b55*b206 + 10602*b55*b207 + 14508*b55*b208 + 
    10788*b55*b210 + 10230*b55*b211 + 3534*b55*b212 + 15810*b55*b213 + 9672*b55
    *b214 + 6324*b55*b215 + 7440*b55*b216 + 12834*b55*b217 + 2232*b55*b218 + 
    15810*b55*b219 + 13392*b55*b220 + 1302*b55*b221 + 9114*b55*b222 + 3024*b55*
    b223 + 4158*b55*b224 + 1080*b55*b225 + 4482*b55*b226 + 1566*b55*b227 + 3240
    *b55*b228 + 3078*b55*b229 + 4212*b55*b230 + 3132*b55*b232 + 2970*b55*b233
     + 1026*b55*b234 + 4590*b55*b235 + 2808*b55*b236 + 1836*b55*b237 + 2160*b55
    *b238 + 3726*b55*b239 + 648*b55*b240 + 4590*b55*b241 + 3888*b55*b242 + 378*
    b55*b243 + 2646*b55*b244 + 10416*b55*b245 + 14322*b55*b246 + 3720*b55*b247
     + 15438*b55*b248 + 5394*b55*b249 + 11160*b55*b250 + 10602*b55*b251 + 14508
    *b55*b252 + 10788*b55*b254 + 10230*b55*b255 + 3534*b55*b256 + 15810*b55*
    b257 + 9672*b55*b258 + 6324*b55*b259 + 7440*b55*b260 + 12834*b55*b261 + 
    2232*b55*b262 + 15810*b55*b263 + 13392*b55*b264 + 1302*b55*b265 + 9114*b55*
    b266 + 10304*b55*b267 + 14168*b55*b268 + 3680*b55*b269 + 15272*b55*b270 + 
    5336*b55*b271 + 11040*b55*b272 + 10488*b55*b273 + 14352*b55*b274 + 10672*
    b55*b276 + 10120*b55*b277 + 3496*b55*b278 + 15640*b55*b279 + 9568*b55*b280
     + 6256*b55*b281 + 7360*b55*b282 + 12696*b55*b283 + 2208*b55*b284 + 15640*
    b55*b285 + 13248*b55*b286 + 1288*b55*b287 + 9016*b55*b288 + 3808*b55*b289
     + 5236*b55*b290 + 1360*b55*b291 + 5644*b55*b292 + 1972*b55*b293 + 4080*b55
    *b294 + 3876*b55*b295 + 5304*b55*b296 + 3944*b55*b298 + 3740*b55*b299 + 
    1292*b55*b300 + 5780*b55*b301 + 3536*b55*b302 + 2312*b55*b303 + 2720*b55*
    b304 + 4692*b55*b305 + 816*b55*b306 + 5780*b55*b307 + 4896*b55*b308 + 476*
    b55*b309 + 3332*b55*b310 + 4368*b55*b311 + 6006*b55*b312 + 1560*b55*b313 + 
    6474*b55*b314 + 2262*b55*b315 + 4680*b55*b316 + 4446*b55*b317 + 6084*b55*
    b318 + 4524*b55*b320 + 4290*b55*b321 + 1482*b55*b322 + 6630*b55*b323 + 4056
    *b55*b324 + 2652*b55*b325 + 3120*b55*b326 + 5382*b55*b327 + 936*b55*b328 + 
    6630*b55*b329 + 5616*b55*b330 + 546*b55*b331 + 3822*b55*b332 + 3472*b55*
    b333 + 4774*b55*b334 + 1240*b55*b335 + 5146*b55*b336 + 1798*b55*b337 + 3720
    *b55*b338 + 3534*b55*b339 + 4836*b55*b340 + 3596*b55*b342 + 3410*b55*b343
     + 1178*b55*b344 + 5270*b55*b345 + 3224*b55*b346 + 2108*b55*b347 + 2480*b55
    *b348 + 4278*b55*b349 + 744*b55*b350 + 5270*b55*b351 + 4464*b55*b352 + 434*
    b55*b353 + 3038*b55*b354 + 2912*b55*b355 + 4004*b55*b356 + 1040*b55*b357 + 
    4316*b55*b358 + 1508*b55*b359 + 3120*b55*b360 + 2964*b55*b361 + 4056*b55*
    b362 + 3016*b55*b364 + 2860*b55*b365 + 988*b55*b366 + 4420*b55*b367 + 2704*
    b55*b368 + 1768*b55*b369 + 2080*b55*b370 + 3588*b55*b371 + 624*b55*b372 + 
    4420*b55*b373 + 3744*b55*b374 + 364*b55*b375 + 2548*b55*b376 + 112*b55*b377
     + 154*b55*b378 + 40*b55*b379 + 166*b55*b380 + 58*b55*b381 + 120*b55*b382
     + 114*b55*b383 + 156*b55*b384 + 116*b55*b386 + 110*b55*b387 + 38*b55*b388
     + 170*b55*b389 + 104*b55*b390 + 68*b55*b391 + 80*b55*b392 + 138*b55*b393
     + 24*b55*b394 + 170*b55*b395 + 144*b55*b396 + 14*b55*b397 + 98*b55*b398 + 
    9744*b55*b399 + 13398*b55*b400 + 3480*b55*b401 + 14442*b55*b402 + 5046*b55*
    b403 + 10440*b55*b404 + 9918*b55*b405 + 13572*b55*b406 + 10092*b55*b408 + 
    9570*b55*b409 + 3306*b55*b410 + 14790*b55*b411 + 9048*b55*b412 + 5916*b55*
    b413 + 6960*b55*b414 + 12006*b55*b415 + 2088*b55*b416 + 14790*b55*b417 + 
    12528*b55*b418 + 1218*b55*b419 + 8526*b55*b420 + 8064*b55*b421 + 11088*b55*
    b422 + 2880*b55*b423 + 11952*b55*b424 + 4176*b55*b425 + 8640*b55*b426 + 
    8208*b55*b427 + 11232*b55*b428 + 8352*b55*b430 + 7920*b55*b431 + 2736*b55*
    b432 + 12240*b55*b433 + 7488*b55*b434 + 4896*b55*b435 + 5760*b55*b436 + 
    9936*b55*b437 + 1728*b55*b438 + 12240*b55*b439 + 10368*b55*b440 + 1008*b55*
    b441 + 7056*b55*b442 + 6608*b55*b443 + 9086*b55*b444 + 2360*b55*b445 + 9794
    *b55*b446 + 3422*b55*b447 + 7080*b55*b448 + 6726*b55*b449 + 9204*b55*b450
     + 6844*b55*b452 + 6490*b55*b453 + 2242*b55*b454 + 10030*b55*b455 + 6136*
    b55*b456 + 4012*b55*b457 + 4720*b55*b458 + 8142*b55*b459 + 1416*b55*b460 + 
    10030*b55*b461 + 8496*b55*b462 + 826*b55*b463 + 5782*b55*b464 + 10864*b55*
    b465 + 14938*b55*b466 + 3880*b55*b467 + 16102*b55*b468 + 5626*b55*b469 + 
    11640*b55*b470 + 11058*b55*b471 + 15132*b55*b472 + 11252*b55*b474 + 10670*
    b55*b475 + 3686*b55*b476 + 16490*b55*b477 + 10088*b55*b478 + 6596*b55*b479
     + 7760*b55*b480 + 13386*b55*b481 + 2328*b55*b482 + 16490*b55*b483 + 13968*
    b55*b484 + 1358*b55*b485 + 9506*b55*b486 + 5152*b55*b487 + 7084*b55*b488 + 
    1840*b55*b489 + 7636*b55*b490 + 2668*b55*b491 + 5520*b55*b492 + 5244*b55*
    b493 + 7176*b55*b494 + 5336*b55*b496 + 5060*b55*b497 + 1748*b55*b498 + 7820
    *b55*b499 + 4784*b55*b500 + 3128*b55*b501 + 3680*b55*b502 + 6348*b55*b503
     + 1104*b55*b504 + 7820*b55*b505 + 6624*b55*b506 + 644*b55*b507 + 4508*b55*
    b508 + 6944*b55*b509 + 9548*b55*b510 + 2480*b55*b511 + 10292*b55*b512 + 
    3596*b55*b513 + 7440*b55*b514 + 7068*b55*b515 + 9672*b55*b516 + 7192*b55*
    b518 + 6820*b55*b519 + 2356*b55*b520 + 10540*b55*b521 + 6448*b55*b522 + 
    4216*b55*b523 + 4960*b55*b524 + 8556*b55*b525 + 1488*b55*b526 + 10540*b55*
    b527 + 8928*b55*b528 + 868*b55*b529 + 6076*b55*b530 + 752*b55*b531 + 9964*
    b55*b532 + 8648*b55*b533 + 16*b55*b537 + 212*b55*b538 + 184*b55*b539 + 216*
    b55*b540 + 2862*b55*b541 + 2484*b55*b542 + 656*b55*b543 + 8692*b55*b544 + 
    7544*b55*b545 + 568*b55*b546 + 7526*b55*b547 + 6532*b55*b548 + 568*b55*b549
     + 7526*b55*b550 + 6532*b55*b551 + 320*b55*b552 + 4240*b55*b553 + 3680*b55*
    b554 + 744*b55*b555 + 9858*b55*b556 + 8556*b55*b557 + 216*b55*b558 + 2862*
    b55*b559 + 2484*b55*b560 + 744*b55*b561 + 9858*b55*b562 + 8556*b55*b563 + 
    736*b55*b564 + 9752*b55*b565 + 8464*b55*b566 + 272*b55*b567 + 3604*b55*b568
     + 3128*b55*b569 + 312*b55*b570 + 4134*b55*b571 + 3588*b55*b572 + 248*b55*
    b573 + 3286*b55*b574 + 2852*b55*b575 + 208*b55*b576 + 2756*b55*b577 + 2392*
    b55*b578 + 8*b55*b579 + 106*b55*b580 + 92*b55*b581 + 696*b55*b582 + 9222*
    b55*b583 + 8004*b55*b584 + 576*b55*b585 + 7632*b55*b586 + 6624*b55*b587 + 
    472*b55*b588 + 6254*b55*b589 + 5428*b55*b590 + 776*b55*b591 + 10282*b55*
    b592 + 8924*b55*b593 + 368*b55*b594 + 4876*b55*b595 + 4232*b55*b596 + 496*
    b55*b597 + 6572*b55*b598 + 5704*b55*b599 + 9548*b55*b600 + 2480*b55*b601 + 
    10292*b55*b602 + 3596*b55*b603 + 7440*b55*b604 + 7068*b55*b605 + 9672*b55*
    b606 + 7192*b55*b608 + 6820*b55*b609 + 2356*b55*b610 + 10540*b55*b611 + 
    6448*b55*b612 + 4216*b55*b613 + 6572*b55*b614 + 4960*b55*b615 + 8556*b55*
    b616 + 1488*b55*b617 + 10540*b55*b618 + 8928*b55*b619 + 868*b55*b620 + 6076
    *b55*b621 + 5704*b55*b622 + 6944*b55*b623 + 784*b55*b624 + 10388*b55*b625
     + 9016*b55*b626 + 344*b56*b69 + 296*b56*b70 + 84*b56*b71 + 384*b56*b72 + 
    44*b56*b73 + 288*b56*b74 + 252*b56*b75 + 364*b56*b76 + 232*b56*b77 + 348*
    b56*b79 + 232*b56*b80 + 68*b56*b81 + 272*b56*b82 + 108*b56*b83 + 24*b56*b84
     + 268*b56*b85 + 104*b56*b86 + 328*b56*b87 + 176*b56*b88 + 140*b56*b89 + 12
    *b56*b90 + 4644*b56*b91 + 3996*b56*b92 + 1134*b56*b93 + 5184*b56*b94 + 594*
    b56*b95 + 3888*b56*b96 + 3402*b56*b97 + 4914*b56*b98 + 3132*b56*b99 + 4698*
    b56*b101 + 3132*b56*b102 + 918*b56*b103 + 3672*b56*b104 + 1458*b56*b105 + 
    324*b56*b106 + 3618*b56*b107 + 1404*b56*b108 + 4428*b56*b109 + 2376*b56*
    b110 + 1890*b56*b111 + 162*b56*b112 + 14104*b56*b113 + 12136*b56*b114 + 
    3444*b56*b115 + 15744*b56*b116 + 1804*b56*b117 + 11808*b56*b118 + 10332*b56
    *b119 + 14924*b56*b120 + 9512*b56*b121 + 14268*b56*b123 + 9512*b56*b124 + 
    2788*b56*b125 + 11152*b56*b126 + 4428*b56*b127 + 984*b56*b128 + 10988*b56*
    b129 + 4264*b56*b130 + 13448*b56*b131 + 7216*b56*b132 + 5740*b56*b133 + 492
    *b56*b134 + 12212*b56*b135 + 10508*b56*b136 + 2982*b56*b137 + 13632*b56*
    b138 + 1562*b56*b139 + 10224*b56*b140 + 8946*b56*b141 + 12922*b56*b142 + 
    8236*b56*b143 + 12354*b56*b145 + 8236*b56*b146 + 2414*b56*b147 + 9656*b56*
    b148 + 3834*b56*b149 + 852*b56*b150 + 9514*b56*b151 + 3692*b56*b152 + 11644
    *b56*b153 + 6248*b56*b154 + 4970*b56*b155 + 426*b56*b156 + 12212*b56*b157
     + 10508*b56*b158 + 2982*b56*b159 + 13632*b56*b160 + 1562*b56*b161 + 10224*
    b56*b162 + 8946*b56*b163 + 12922*b56*b164 + 8236*b56*b165 + 12354*b56*b167
     + 8236*b56*b168 + 2414*b56*b169 + 9656*b56*b170 + 3834*b56*b171 + 852*b56*
    b172 + 9514*b56*b173 + 3692*b56*b174 + 11644*b56*b175 + 6248*b56*b176 + 
    4970*b56*b177 + 426*b56*b178 + 6880*b56*b179 + 5920*b56*b180 + 1680*b56*
    b181 + 7680*b56*b182 + 880*b56*b183 + 5760*b56*b184 + 5040*b56*b185 + 7280*
    b56*b186 + 4640*b56*b187 + 6960*b56*b189 + 4640*b56*b190 + 1360*b56*b191 + 
    5440*b56*b192 + 2160*b56*b193 + 480*b56*b194 + 5360*b56*b195 + 2080*b56*
    b196 + 6560*b56*b197 + 3520*b56*b198 + 2800*b56*b199 + 240*b56*b200 + 15996
    *b56*b201 + 13764*b56*b202 + 3906*b56*b203 + 17856*b56*b204 + 2046*b56*b205
     + 13392*b56*b206 + 11718*b56*b207 + 16926*b56*b208 + 10788*b56*b209 + 
    16182*b56*b211 + 10788*b56*b212 + 3162*b56*b213 + 12648*b56*b214 + 5022*b56
    *b215 + 1116*b56*b216 + 12462*b56*b217 + 4836*b56*b218 + 15252*b56*b219 + 
    8184*b56*b220 + 6510*b56*b221 + 558*b56*b222 + 4644*b56*b223 + 3996*b56*
    b224 + 1134*b56*b225 + 5184*b56*b226 + 594*b56*b227 + 3888*b56*b228 + 3402*
    b56*b229 + 4914*b56*b230 + 3132*b56*b231 + 4698*b56*b233 + 3132*b56*b234 + 
    918*b56*b235 + 3672*b56*b236 + 1458*b56*b237 + 324*b56*b238 + 3618*b56*b239
     + 1404*b56*b240 + 4428*b56*b241 + 2376*b56*b242 + 1890*b56*b243 + 162*b56*
    b244 + 15996*b56*b245 + 13764*b56*b246 + 3906*b56*b247 + 17856*b56*b248 + 
    2046*b56*b249 + 13392*b56*b250 + 11718*b56*b251 + 16926*b56*b252 + 10788*
    b56*b253 + 16182*b56*b255 + 10788*b56*b256 + 3162*b56*b257 + 12648*b56*b258
     + 5022*b56*b259 + 1116*b56*b260 + 12462*b56*b261 + 4836*b56*b262 + 15252*
    b56*b263 + 8184*b56*b264 + 6510*b56*b265 + 558*b56*b266 + 15824*b56*b267 + 
    13616*b56*b268 + 3864*b56*b269 + 17664*b56*b270 + 2024*b56*b271 + 13248*b56
    *b272 + 11592*b56*b273 + 16744*b56*b274 + 10672*b56*b275 + 16008*b56*b277
     + 10672*b56*b278 + 3128*b56*b279 + 12512*b56*b280 + 4968*b56*b281 + 1104*
    b56*b282 + 12328*b56*b283 + 4784*b56*b284 + 15088*b56*b285 + 8096*b56*b286
     + 6440*b56*b287 + 552*b56*b288 + 5848*b56*b289 + 5032*b56*b290 + 1428*b56*
    b291 + 6528*b56*b292 + 748*b56*b293 + 4896*b56*b294 + 4284*b56*b295 + 6188*
    b56*b296 + 3944*b56*b297 + 5916*b56*b299 + 3944*b56*b300 + 1156*b56*b301 + 
    4624*b56*b302 + 1836*b56*b303 + 408*b56*b304 + 4556*b56*b305 + 1768*b56*
    b306 + 5576*b56*b307 + 2992*b56*b308 + 2380*b56*b309 + 204*b56*b310 + 6708*
    b56*b311 + 5772*b56*b312 + 1638*b56*b313 + 7488*b56*b314 + 858*b56*b315 + 
    5616*b56*b316 + 4914*b56*b317 + 7098*b56*b318 + 4524*b56*b319 + 6786*b56*
    b321 + 4524*b56*b322 + 1326*b56*b323 + 5304*b56*b324 + 2106*b56*b325 + 468*
    b56*b326 + 5226*b56*b327 + 2028*b56*b328 + 6396*b56*b329 + 3432*b56*b330 + 
    2730*b56*b331 + 234*b56*b332 + 5332*b56*b333 + 4588*b56*b334 + 1302*b56*
    b335 + 5952*b56*b336 + 682*b56*b337 + 4464*b56*b338 + 3906*b56*b339 + 5642*
    b56*b340 + 3596*b56*b341 + 5394*b56*b343 + 3596*b56*b344 + 1054*b56*b345 + 
    4216*b56*b346 + 1674*b56*b347 + 372*b56*b348 + 4154*b56*b349 + 1612*b56*
    b350 + 5084*b56*b351 + 2728*b56*b352 + 2170*b56*b353 + 186*b56*b354 + 4472*
    b56*b355 + 3848*b56*b356 + 1092*b56*b357 + 4992*b56*b358 + 572*b56*b359 + 
    3744*b56*b360 + 3276*b56*b361 + 4732*b56*b362 + 3016*b56*b363 + 4524*b56*
    b365 + 3016*b56*b366 + 884*b56*b367 + 3536*b56*b368 + 1404*b56*b369 + 312*
    b56*b370 + 3484*b56*b371 + 1352*b56*b372 + 4264*b56*b373 + 2288*b56*b374 + 
    1820*b56*b375 + 156*b56*b376 + 172*b56*b377 + 148*b56*b378 + 42*b56*b379 + 
    192*b56*b380 + 22*b56*b381 + 144*b56*b382 + 126*b56*b383 + 182*b56*b384 + 
    116*b56*b385 + 174*b56*b387 + 116*b56*b388 + 34*b56*b389 + 136*b56*b390 + 
    54*b56*b391 + 12*b56*b392 + 134*b56*b393 + 52*b56*b394 + 164*b56*b395 + 88*
    b56*b396 + 70*b56*b397 + 6*b56*b398 + 14964*b56*b399 + 12876*b56*b400 + 
    3654*b56*b401 + 16704*b56*b402 + 1914*b56*b403 + 12528*b56*b404 + 10962*b56
    *b405 + 15834*b56*b406 + 10092*b56*b407 + 15138*b56*b409 + 10092*b56*b410
     + 2958*b56*b411 + 11832*b56*b412 + 4698*b56*b413 + 1044*b56*b414 + 11658*
    b56*b415 + 4524*b56*b416 + 14268*b56*b417 + 7656*b56*b418 + 6090*b56*b419
     + 522*b56*b420 + 12384*b56*b421 + 10656*b56*b422 + 3024*b56*b423 + 13824*
    b56*b424 + 1584*b56*b425 + 10368*b56*b426 + 9072*b56*b427 + 13104*b56*b428
     + 8352*b56*b429 + 12528*b56*b431 + 8352*b56*b432 + 2448*b56*b433 + 9792*
    b56*b434 + 3888*b56*b435 + 864*b56*b436 + 9648*b56*b437 + 3744*b56*b438 + 
    11808*b56*b439 + 6336*b56*b440 + 5040*b56*b441 + 432*b56*b442 + 10148*b56*
    b443 + 8732*b56*b444 + 2478*b56*b445 + 11328*b56*b446 + 1298*b56*b447 + 
    8496*b56*b448 + 7434*b56*b449 + 10738*b56*b450 + 6844*b56*b451 + 10266*b56*
    b453 + 6844*b56*b454 + 2006*b56*b455 + 8024*b56*b456 + 3186*b56*b457 + 708*
    b56*b458 + 7906*b56*b459 + 3068*b56*b460 + 9676*b56*b461 + 5192*b56*b462 + 
    4130*b56*b463 + 354*b56*b464 + 16684*b56*b465 + 14356*b56*b466 + 4074*b56*
    b467 + 18624*b56*b468 + 2134*b56*b469 + 13968*b56*b470 + 12222*b56*b471 + 
    17654*b56*b472 + 11252*b56*b473 + 16878*b56*b475 + 11252*b56*b476 + 3298*
    b56*b477 + 13192*b56*b478 + 5238*b56*b479 + 1164*b56*b480 + 12998*b56*b481
     + 5044*b56*b482 + 15908*b56*b483 + 8536*b56*b484 + 6790*b56*b485 + 582*b56
    *b486 + 7912*b56*b487 + 6808*b56*b488 + 1932*b56*b489 + 8832*b56*b490 + 
    1012*b56*b491 + 6624*b56*b492 + 5796*b56*b493 + 8372*b56*b494 + 5336*b56*
    b495 + 8004*b56*b497 + 5336*b56*b498 + 1564*b56*b499 + 6256*b56*b500 + 2484
    *b56*b501 + 552*b56*b502 + 6164*b56*b503 + 2392*b56*b504 + 7544*b56*b505 + 
    4048*b56*b506 + 3220*b56*b507 + 276*b56*b508 + 10664*b56*b509 + 9176*b56*
    b510 + 2604*b56*b511 + 11904*b56*b512 + 1364*b56*b513 + 8928*b56*b514 + 
    7812*b56*b515 + 11284*b56*b516 + 7192*b56*b517 + 10788*b56*b519 + 7192*b56*
    b520 + 2108*b56*b521 + 8432*b56*b522 + 3348*b56*b523 + 744*b56*b524 + 8308*
    b56*b525 + 3224*b56*b526 + 10168*b56*b527 + 5456*b56*b528 + 4340*b56*b529
     + 372*b56*b530 + 11844*b56*b531 + 3948*b56*b532 + 11656*b56*b533 + 252*b56
    *b537 + 84*b56*b538 + 248*b56*b539 + 3402*b56*b540 + 1134*b56*b541 + 3348*
    b56*b542 + 10332*b56*b543 + 3444*b56*b544 + 10168*b56*b545 + 8946*b56*b546
     + 2982*b56*b547 + 8804*b56*b548 + 8946*b56*b549 + 2982*b56*b550 + 8804*b56
    *b551 + 5040*b56*b552 + 1680*b56*b553 + 4960*b56*b554 + 11718*b56*b555 + 
    3906*b56*b556 + 11532*b56*b557 + 3402*b56*b558 + 1134*b56*b559 + 3348*b56*
    b560 + 11718*b56*b561 + 3906*b56*b562 + 11532*b56*b563 + 11592*b56*b564 + 
    3864*b56*b565 + 11408*b56*b566 + 4284*b56*b567 + 1428*b56*b568 + 4216*b56*
    b569 + 4914*b56*b570 + 1638*b56*b571 + 4836*b56*b572 + 3906*b56*b573 + 1302
    *b56*b574 + 3844*b56*b575 + 3276*b56*b576 + 1092*b56*b577 + 3224*b56*b578
     + 126*b56*b579 + 42*b56*b580 + 124*b56*b581 + 10962*b56*b582 + 3654*b56*
    b583 + 10788*b56*b584 + 9072*b56*b585 + 3024*b56*b586 + 8928*b56*b587 + 
    7434*b56*b588 + 2478*b56*b589 + 7316*b56*b590 + 12222*b56*b591 + 4074*b56*
    b592 + 12028*b56*b593 + 5796*b56*b594 + 1932*b56*b595 + 5704*b56*b596 + 
    7812*b56*b597 + 2604*b56*b598 + 7688*b56*b599 + 9176*b56*b600 + 2604*b56*
    b601 + 11904*b56*b602 + 1364*b56*b603 + 8928*b56*b604 + 7812*b56*b605 + 
    11284*b56*b606 + 7192*b56*b607 + 10788*b56*b609 + 7192*b56*b610 + 2108*b56*
    b611 + 8432*b56*b612 + 3348*b56*b613 + 2604*b56*b614 + 744*b56*b615 + 8308*
    b56*b616 + 3224*b56*b617 + 10168*b56*b618 + 5456*b56*b619 + 4340*b56*b620
     + 372*b56*b621 + 7688*b56*b622 + 10664*b56*b623 + 12348*b56*b624 + 4116*
    b56*b625 + 12152*b56*b626 + 180*b57*b69 + 120*b57*b70 + 244*b57*b71 + 296*
    b57*b72 + 308*b57*b73 + 296*b57*b74 + 24*b57*b75 + 52*b57*b76 + 220*b57*b77
     + 348*b57*b78 + 32*b57*b80 + 204*b57*b81 + 4*b57*b82 + 364*b57*b83 + 348*
    b57*b84 + 288*b57*b85 + 180*b57*b86 + 384*b57*b87 + 28*b57*b88 + 348*b57*
    b89 + 272*b57*b90 + 2430*b57*b91 + 1620*b57*b92 + 3294*b57*b93 + 3996*b57*
    b94 + 4158*b57*b95 + 3996*b57*b96 + 324*b57*b97 + 702*b57*b98 + 2970*b57*
    b99 + 4698*b57*b100 + 432*b57*b102 + 2754*b57*b103 + 54*b57*b104 + 4914*b57
    *b105 + 4698*b57*b106 + 3888*b57*b107 + 2430*b57*b108 + 5184*b57*b109 + 378
    *b57*b110 + 4698*b57*b111 + 3672*b57*b112 + 7380*b57*b113 + 4920*b57*b114
     + 10004*b57*b115 + 12136*b57*b116 + 12628*b57*b117 + 12136*b57*b118 + 984*
    b57*b119 + 2132*b57*b120 + 9020*b57*b121 + 14268*b57*b122 + 1312*b57*b124
     + 8364*b57*b125 + 164*b57*b126 + 14924*b57*b127 + 14268*b57*b128 + 11808*
    b57*b129 + 7380*b57*b130 + 15744*b57*b131 + 1148*b57*b132 + 14268*b57*b133
     + 11152*b57*b134 + 6390*b57*b135 + 4260*b57*b136 + 8662*b57*b137 + 10508*
    b57*b138 + 10934*b57*b139 + 10508*b57*b140 + 852*b57*b141 + 1846*b57*b142
     + 7810*b57*b143 + 12354*b57*b144 + 1136*b57*b146 + 7242*b57*b147 + 142*b57
    *b148 + 12922*b57*b149 + 12354*b57*b150 + 10224*b57*b151 + 6390*b57*b152 + 
    13632*b57*b153 + 994*b57*b154 + 12354*b57*b155 + 9656*b57*b156 + 6390*b57*
    b157 + 4260*b57*b158 + 8662*b57*b159 + 10508*b57*b160 + 10934*b57*b161 + 
    10508*b57*b162 + 852*b57*b163 + 1846*b57*b164 + 7810*b57*b165 + 12354*b57*
    b166 + 1136*b57*b168 + 7242*b57*b169 + 142*b57*b170 + 12922*b57*b171 + 
    12354*b57*b172 + 10224*b57*b173 + 6390*b57*b174 + 13632*b57*b175 + 994*b57*
    b176 + 12354*b57*b177 + 9656*b57*b178 + 3600*b57*b179 + 2400*b57*b180 + 
    4880*b57*b181 + 5920*b57*b182 + 6160*b57*b183 + 5920*b57*b184 + 480*b57*
    b185 + 1040*b57*b186 + 4400*b57*b187 + 6960*b57*b188 + 640*b57*b190 + 4080*
    b57*b191 + 80*b57*b192 + 7280*b57*b193 + 6960*b57*b194 + 5760*b57*b195 + 
    3600*b57*b196 + 7680*b57*b197 + 560*b57*b198 + 6960*b57*b199 + 5440*b57*
    b200 + 8370*b57*b201 + 5580*b57*b202 + 11346*b57*b203 + 13764*b57*b204 + 
    14322*b57*b205 + 13764*b57*b206 + 1116*b57*b207 + 2418*b57*b208 + 10230*b57
    *b209 + 16182*b57*b210 + 1488*b57*b212 + 9486*b57*b213 + 186*b57*b214 + 
    16926*b57*b215 + 16182*b57*b216 + 13392*b57*b217 + 8370*b57*b218 + 17856*
    b57*b219 + 1302*b57*b220 + 16182*b57*b221 + 12648*b57*b222 + 2430*b57*b223
     + 1620*b57*b224 + 3294*b57*b225 + 3996*b57*b226 + 4158*b57*b227 + 3996*b57
    *b228 + 324*b57*b229 + 702*b57*b230 + 2970*b57*b231 + 4698*b57*b232 + 432*
    b57*b234 + 2754*b57*b235 + 54*b57*b236 + 4914*b57*b237 + 4698*b57*b238 + 
    3888*b57*b239 + 2430*b57*b240 + 5184*b57*b241 + 378*b57*b242 + 4698*b57*
    b243 + 3672*b57*b244 + 8370*b57*b245 + 5580*b57*b246 + 11346*b57*b247 + 
    13764*b57*b248 + 14322*b57*b249 + 13764*b57*b250 + 1116*b57*b251 + 2418*b57
    *b252 + 10230*b57*b253 + 16182*b57*b254 + 1488*b57*b256 + 9486*b57*b257 + 
    186*b57*b258 + 16926*b57*b259 + 16182*b57*b260 + 13392*b57*b261 + 8370*b57*
    b262 + 17856*b57*b263 + 1302*b57*b264 + 16182*b57*b265 + 12648*b57*b266 + 
    8280*b57*b267 + 5520*b57*b268 + 11224*b57*b269 + 13616*b57*b270 + 14168*b57
    *b271 + 13616*b57*b272 + 1104*b57*b273 + 2392*b57*b274 + 10120*b57*b275 + 
    16008*b57*b276 + 1472*b57*b278 + 9384*b57*b279 + 184*b57*b280 + 16744*b57*
    b281 + 16008*b57*b282 + 13248*b57*b283 + 8280*b57*b284 + 17664*b57*b285 + 
    1288*b57*b286 + 16008*b57*b287 + 12512*b57*b288 + 3060*b57*b289 + 2040*b57*
    b290 + 4148*b57*b291 + 5032*b57*b292 + 5236*b57*b293 + 5032*b57*b294 + 408*
    b57*b295 + 884*b57*b296 + 3740*b57*b297 + 5916*b57*b298 + 544*b57*b300 + 
    3468*b57*b301 + 68*b57*b302 + 6188*b57*b303 + 5916*b57*b304 + 4896*b57*b305
     + 3060*b57*b306 + 6528*b57*b307 + 476*b57*b308 + 5916*b57*b309 + 4624*b57*
    b310 + 3510*b57*b311 + 2340*b57*b312 + 4758*b57*b313 + 5772*b57*b314 + 6006
    *b57*b315 + 5772*b57*b316 + 468*b57*b317 + 1014*b57*b318 + 4290*b57*b319 + 
    6786*b57*b320 + 624*b57*b322 + 3978*b57*b323 + 78*b57*b324 + 7098*b57*b325
     + 6786*b57*b326 + 5616*b57*b327 + 3510*b57*b328 + 7488*b57*b329 + 546*b57*
    b330 + 6786*b57*b331 + 5304*b57*b332 + 2790*b57*b333 + 1860*b57*b334 + 3782
    *b57*b335 + 4588*b57*b336 + 4774*b57*b337 + 4588*b57*b338 + 372*b57*b339 + 
    806*b57*b340 + 3410*b57*b341 + 5394*b57*b342 + 496*b57*b344 + 3162*b57*b345
     + 62*b57*b346 + 5642*b57*b347 + 5394*b57*b348 + 4464*b57*b349 + 2790*b57*
    b350 + 5952*b57*b351 + 434*b57*b352 + 5394*b57*b353 + 4216*b57*b354 + 2340*
    b57*b355 + 1560*b57*b356 + 3172*b57*b357 + 3848*b57*b358 + 4004*b57*b359 + 
    3848*b57*b360 + 312*b57*b361 + 676*b57*b362 + 2860*b57*b363 + 4524*b57*b364
     + 416*b57*b366 + 2652*b57*b367 + 52*b57*b368 + 4732*b57*b369 + 4524*b57*
    b370 + 3744*b57*b371 + 2340*b57*b372 + 4992*b57*b373 + 364*b57*b374 + 4524*
    b57*b375 + 3536*b57*b376 + 90*b57*b377 + 60*b57*b378 + 122*b57*b379 + 148*
    b57*b380 + 154*b57*b381 + 148*b57*b382 + 12*b57*b383 + 26*b57*b384 + 110*
    b57*b385 + 174*b57*b386 + 16*b57*b388 + 102*b57*b389 + 2*b57*b390 + 182*b57
    *b391 + 174*b57*b392 + 144*b57*b393 + 90*b57*b394 + 192*b57*b395 + 14*b57*
    b396 + 174*b57*b397 + 136*b57*b398 + 7830*b57*b399 + 5220*b57*b400 + 10614*
    b57*b401 + 12876*b57*b402 + 13398*b57*b403 + 12876*b57*b404 + 1044*b57*b405
     + 2262*b57*b406 + 9570*b57*b407 + 15138*b57*b408 + 1392*b57*b410 + 8874*
    b57*b411 + 174*b57*b412 + 15834*b57*b413 + 15138*b57*b414 + 12528*b57*b415
     + 7830*b57*b416 + 16704*b57*b417 + 1218*b57*b418 + 15138*b57*b419 + 11832*
    b57*b420 + 6480*b57*b421 + 4320*b57*b422 + 8784*b57*b423 + 10656*b57*b424
     + 11088*b57*b425 + 10656*b57*b426 + 864*b57*b427 + 1872*b57*b428 + 7920*
    b57*b429 + 12528*b57*b430 + 1152*b57*b432 + 7344*b57*b433 + 144*b57*b434 + 
    13104*b57*b435 + 12528*b57*b436 + 10368*b57*b437 + 6480*b57*b438 + 13824*
    b57*b439 + 1008*b57*b440 + 12528*b57*b441 + 9792*b57*b442 + 5310*b57*b443
     + 3540*b57*b444 + 7198*b57*b445 + 8732*b57*b446 + 9086*b57*b447 + 8732*b57
    *b448 + 708*b57*b449 + 1534*b57*b450 + 6490*b57*b451 + 10266*b57*b452 + 944
    *b57*b454 + 6018*b57*b455 + 118*b57*b456 + 10738*b57*b457 + 10266*b57*b458
     + 8496*b57*b459 + 5310*b57*b460 + 11328*b57*b461 + 826*b57*b462 + 10266*
    b57*b463 + 8024*b57*b464 + 8730*b57*b465 + 5820*b57*b466 + 11834*b57*b467
     + 14356*b57*b468 + 14938*b57*b469 + 14356*b57*b470 + 1164*b57*b471 + 2522*
    b57*b472 + 10670*b57*b473 + 16878*b57*b474 + 1552*b57*b476 + 9894*b57*b477
     + 194*b57*b478 + 17654*b57*b479 + 16878*b57*b480 + 13968*b57*b481 + 8730*
    b57*b482 + 18624*b57*b483 + 1358*b57*b484 + 16878*b57*b485 + 13192*b57*b486
     + 4140*b57*b487 + 2760*b57*b488 + 5612*b57*b489 + 6808*b57*b490 + 7084*b57
    *b491 + 6808*b57*b492 + 552*b57*b493 + 1196*b57*b494 + 5060*b57*b495 + 8004
    *b57*b496 + 736*b57*b498 + 4692*b57*b499 + 92*b57*b500 + 8372*b57*b501 + 
    8004*b57*b502 + 6624*b57*b503 + 4140*b57*b504 + 8832*b57*b505 + 644*b57*
    b506 + 8004*b57*b507 + 6256*b57*b508 + 5580*b57*b509 + 3720*b57*b510 + 7564
    *b57*b511 + 9176*b57*b512 + 9548*b57*b513 + 9176*b57*b514 + 744*b57*b515 + 
    1612*b57*b516 + 6820*b57*b517 + 10788*b57*b518 + 992*b57*b520 + 6324*b57*
    b521 + 124*b57*b522 + 11284*b57*b523 + 10788*b57*b524 + 8928*b57*b525 + 
    5580*b57*b526 + 11904*b57*b527 + 868*b57*b528 + 10788*b57*b529 + 8432*b57*
    b530 + 1128*b57*b531 + 7332*b57*b532 + 6204*b57*b533 + 24*b57*b537 + 156*
    b57*b538 + 132*b57*b539 + 324*b57*b540 + 2106*b57*b541 + 1782*b57*b542 + 
    984*b57*b543 + 6396*b57*b544 + 5412*b57*b545 + 852*b57*b546 + 5538*b57*b547
     + 4686*b57*b548 + 852*b57*b549 + 5538*b57*b550 + 4686*b57*b551 + 480*b57*
    b552 + 3120*b57*b553 + 2640*b57*b554 + 1116*b57*b555 + 7254*b57*b556 + 6138
    *b57*b557 + 324*b57*b558 + 2106*b57*b559 + 1782*b57*b560 + 1116*b57*b561 + 
    7254*b57*b562 + 6138*b57*b563 + 1104*b57*b564 + 7176*b57*b565 + 6072*b57*
    b566 + 408*b57*b567 + 2652*b57*b568 + 2244*b57*b569 + 468*b57*b570 + 3042*
    b57*b571 + 2574*b57*b572 + 372*b57*b573 + 2418*b57*b574 + 2046*b57*b575 + 
    312*b57*b576 + 2028*b57*b577 + 1716*b57*b578 + 12*b57*b579 + 78*b57*b580 + 
    66*b57*b581 + 1044*b57*b582 + 6786*b57*b583 + 5742*b57*b584 + 864*b57*b585
     + 5616*b57*b586 + 4752*b57*b587 + 708*b57*b588 + 4602*b57*b589 + 3894*b57*
    b590 + 1164*b57*b591 + 7566*b57*b592 + 6402*b57*b593 + 552*b57*b594 + 3588*
    b57*b595 + 3036*b57*b596 + 744*b57*b597 + 4836*b57*b598 + 4092*b57*b599 + 
    3720*b57*b600 + 7564*b57*b601 + 9176*b57*b602 + 9548*b57*b603 + 9176*b57*
    b604 + 744*b57*b605 + 1612*b57*b606 + 6820*b57*b607 + 10788*b57*b608 + 992*
    b57*b610 + 6324*b57*b611 + 124*b57*b612 + 11284*b57*b613 + 4836*b57*b614 + 
    10788*b57*b615 + 8928*b57*b616 + 5580*b57*b617 + 11904*b57*b618 + 868*b57*
    b619 + 10788*b57*b620 + 8432*b57*b621 + 4092*b57*b622 + 5580*b57*b623 + 
    1176*b57*b624 + 7644*b57*b625 + 6468*b57*b626 + 364*b58*b69 + 356*b58*b70
     + 320*b58*b71 + 180*b58*b72 + 128*b58*b73 + 184*b58*b74 + 236*b58*b76 + 76
    *b58*b77 + 232*b58*b78 + 32*b58*b79 + 12*b58*b81 + 84*b58*b82 + 360*b58*b83
     + 188*b58*b84 + 100*b58*b85 + 120*b58*b86 + 172*b58*b87 + 388*b58*b88 + 
    132*b58*b89 + 140*b58*b90 + 4914*b58*b91 + 4806*b58*b92 + 4320*b58*b93 + 
    2430*b58*b94 + 1728*b58*b95 + 2484*b58*b96 + 3186*b58*b98 + 1026*b58*b99 + 
    3132*b58*b100 + 432*b58*b101 + 162*b58*b103 + 1134*b58*b104 + 4860*b58*b105
     + 2538*b58*b106 + 1350*b58*b107 + 1620*b58*b108 + 2322*b58*b109 + 5238*b58
    *b110 + 1782*b58*b111 + 1890*b58*b112 + 14924*b58*b113 + 14596*b58*b114 + 
    13120*b58*b115 + 7380*b58*b116 + 5248*b58*b117 + 7544*b58*b118 + 9676*b58*
    b120 + 3116*b58*b121 + 9512*b58*b122 + 1312*b58*b123 + 492*b58*b125 + 3444*
    b58*b126 + 14760*b58*b127 + 7708*b58*b128 + 4100*b58*b129 + 4920*b58*b130
     + 7052*b58*b131 + 15908*b58*b132 + 5412*b58*b133 + 5740*b58*b134 + 12922*
    b58*b135 + 12638*b58*b136 + 11360*b58*b137 + 6390*b58*b138 + 4544*b58*b139
     + 6532*b58*b140 + 8378*b58*b142 + 2698*b58*b143 + 8236*b58*b144 + 1136*b58
    *b145 + 426*b58*b147 + 2982*b58*b148 + 12780*b58*b149 + 6674*b58*b150 + 
    3550*b58*b151 + 4260*b58*b152 + 6106*b58*b153 + 13774*b58*b154 + 4686*b58*
    b155 + 4970*b58*b156 + 12922*b58*b157 + 12638*b58*b158 + 11360*b58*b159 + 
    6390*b58*b160 + 4544*b58*b161 + 6532*b58*b162 + 8378*b58*b164 + 2698*b58*
    b165 + 8236*b58*b166 + 1136*b58*b167 + 426*b58*b169 + 2982*b58*b170 + 12780
    *b58*b171 + 6674*b58*b172 + 3550*b58*b173 + 4260*b58*b174 + 6106*b58*b175
     + 13774*b58*b176 + 4686*b58*b177 + 4970*b58*b178 + 7280*b58*b179 + 7120*
    b58*b180 + 6400*b58*b181 + 3600*b58*b182 + 2560*b58*b183 + 3680*b58*b184 + 
    4720*b58*b186 + 1520*b58*b187 + 4640*b58*b188 + 640*b58*b189 + 240*b58*b191
     + 1680*b58*b192 + 7200*b58*b193 + 3760*b58*b194 + 2000*b58*b195 + 2400*b58
    *b196 + 3440*b58*b197 + 7760*b58*b198 + 2640*b58*b199 + 2800*b58*b200 + 
    16926*b58*b201 + 16554*b58*b202 + 14880*b58*b203 + 8370*b58*b204 + 5952*b58
    *b205 + 8556*b58*b206 + 10974*b58*b208 + 3534*b58*b209 + 10788*b58*b210 + 
    1488*b58*b211 + 558*b58*b213 + 3906*b58*b214 + 16740*b58*b215 + 8742*b58*
    b216 + 4650*b58*b217 + 5580*b58*b218 + 7998*b58*b219 + 18042*b58*b220 + 
    6138*b58*b221 + 6510*b58*b222 + 4914*b58*b223 + 4806*b58*b224 + 4320*b58*
    b225 + 2430*b58*b226 + 1728*b58*b227 + 2484*b58*b228 + 3186*b58*b230 + 1026
    *b58*b231 + 3132*b58*b232 + 432*b58*b233 + 162*b58*b235 + 1134*b58*b236 + 
    4860*b58*b237 + 2538*b58*b238 + 1350*b58*b239 + 1620*b58*b240 + 2322*b58*
    b241 + 5238*b58*b242 + 1782*b58*b243 + 1890*b58*b244 + 16926*b58*b245 + 
    16554*b58*b246 + 14880*b58*b247 + 8370*b58*b248 + 5952*b58*b249 + 8556*b58*
    b250 + 10974*b58*b252 + 3534*b58*b253 + 10788*b58*b254 + 1488*b58*b255 + 
    558*b58*b257 + 3906*b58*b258 + 16740*b58*b259 + 8742*b58*b260 + 4650*b58*
    b261 + 5580*b58*b262 + 7998*b58*b263 + 18042*b58*b264 + 6138*b58*b265 + 
    6510*b58*b266 + 16744*b58*b267 + 16376*b58*b268 + 14720*b58*b269 + 8280*b58
    *b270 + 5888*b58*b271 + 8464*b58*b272 + 10856*b58*b274 + 3496*b58*b275 + 
    10672*b58*b276 + 1472*b58*b277 + 552*b58*b279 + 3864*b58*b280 + 16560*b58*
    b281 + 8648*b58*b282 + 4600*b58*b283 + 5520*b58*b284 + 7912*b58*b285 + 
    17848*b58*b286 + 6072*b58*b287 + 6440*b58*b288 + 6188*b58*b289 + 6052*b58*
    b290 + 5440*b58*b291 + 3060*b58*b292 + 2176*b58*b293 + 3128*b58*b294 + 4012
    *b58*b296 + 1292*b58*b297 + 3944*b58*b298 + 544*b58*b299 + 204*b58*b301 + 
    1428*b58*b302 + 6120*b58*b303 + 3196*b58*b304 + 1700*b58*b305 + 2040*b58*
    b306 + 2924*b58*b307 + 6596*b58*b308 + 2244*b58*b309 + 2380*b58*b310 + 7098
    *b58*b311 + 6942*b58*b312 + 6240*b58*b313 + 3510*b58*b314 + 2496*b58*b315
     + 3588*b58*b316 + 4602*b58*b318 + 1482*b58*b319 + 4524*b58*b320 + 624*b58*
    b321 + 234*b58*b323 + 1638*b58*b324 + 7020*b58*b325 + 3666*b58*b326 + 1950*
    b58*b327 + 2340*b58*b328 + 3354*b58*b329 + 7566*b58*b330 + 2574*b58*b331 + 
    2730*b58*b332 + 5642*b58*b333 + 5518*b58*b334 + 4960*b58*b335 + 2790*b58*
    b336 + 1984*b58*b337 + 2852*b58*b338 + 3658*b58*b340 + 1178*b58*b341 + 3596
    *b58*b342 + 496*b58*b343 + 186*b58*b345 + 1302*b58*b346 + 5580*b58*b347 + 
    2914*b58*b348 + 1550*b58*b349 + 1860*b58*b350 + 2666*b58*b351 + 6014*b58*
    b352 + 2046*b58*b353 + 2170*b58*b354 + 4732*b58*b355 + 4628*b58*b356 + 4160
    *b58*b357 + 2340*b58*b358 + 1664*b58*b359 + 2392*b58*b360 + 3068*b58*b362
     + 988*b58*b363 + 3016*b58*b364 + 416*b58*b365 + 156*b58*b367 + 1092*b58*
    b368 + 4680*b58*b369 + 2444*b58*b370 + 1300*b58*b371 + 1560*b58*b372 + 2236
    *b58*b373 + 5044*b58*b374 + 1716*b58*b375 + 1820*b58*b376 + 182*b58*b377 + 
    178*b58*b378 + 160*b58*b379 + 90*b58*b380 + 64*b58*b381 + 92*b58*b382 + 118
    *b58*b384 + 38*b58*b385 + 116*b58*b386 + 16*b58*b387 + 6*b58*b389 + 42*b58*
    b390 + 180*b58*b391 + 94*b58*b392 + 50*b58*b393 + 60*b58*b394 + 86*b58*b395
     + 194*b58*b396 + 66*b58*b397 + 70*b58*b398 + 15834*b58*b399 + 15486*b58*
    b400 + 13920*b58*b401 + 7830*b58*b402 + 5568*b58*b403 + 8004*b58*b404 + 
    10266*b58*b406 + 3306*b58*b407 + 10092*b58*b408 + 1392*b58*b409 + 522*b58*
    b411 + 3654*b58*b412 + 15660*b58*b413 + 8178*b58*b414 + 4350*b58*b415 + 
    5220*b58*b416 + 7482*b58*b417 + 16878*b58*b418 + 5742*b58*b419 + 6090*b58*
    b420 + 13104*b58*b421 + 12816*b58*b422 + 11520*b58*b423 + 6480*b58*b424 + 
    4608*b58*b425 + 6624*b58*b426 + 8496*b58*b428 + 2736*b58*b429 + 8352*b58*
    b430 + 1152*b58*b431 + 432*b58*b433 + 3024*b58*b434 + 12960*b58*b435 + 6768
    *b58*b436 + 3600*b58*b437 + 4320*b58*b438 + 6192*b58*b439 + 13968*b58*b440
     + 4752*b58*b441 + 5040*b58*b442 + 10738*b58*b443 + 10502*b58*b444 + 9440*
    b58*b445 + 5310*b58*b446 + 3776*b58*b447 + 5428*b58*b448 + 6962*b58*b450 + 
    2242*b58*b451 + 6844*b58*b452 + 944*b58*b453 + 354*b58*b455 + 2478*b58*b456
     + 10620*b58*b457 + 5546*b58*b458 + 2950*b58*b459 + 3540*b58*b460 + 5074*
    b58*b461 + 11446*b58*b462 + 3894*b58*b463 + 4130*b58*b464 + 17654*b58*b465
     + 17266*b58*b466 + 15520*b58*b467 + 8730*b58*b468 + 6208*b58*b469 + 8924*
    b58*b470 + 11446*b58*b472 + 3686*b58*b473 + 11252*b58*b474 + 1552*b58*b475
     + 582*b58*b477 + 4074*b58*b478 + 17460*b58*b479 + 9118*b58*b480 + 4850*b58
    *b481 + 5820*b58*b482 + 8342*b58*b483 + 18818*b58*b484 + 6402*b58*b485 + 
    6790*b58*b486 + 8372*b58*b487 + 8188*b58*b488 + 7360*b58*b489 + 4140*b58*
    b490 + 2944*b58*b491 + 4232*b58*b492 + 5428*b58*b494 + 1748*b58*b495 + 5336
    *b58*b496 + 736*b58*b497 + 276*b58*b499 + 1932*b58*b500 + 8280*b58*b501 + 
    4324*b58*b502 + 2300*b58*b503 + 2760*b58*b504 + 3956*b58*b505 + 8924*b58*
    b506 + 3036*b58*b507 + 3220*b58*b508 + 11284*b58*b509 + 11036*b58*b510 + 
    9920*b58*b511 + 5580*b58*b512 + 3968*b58*b513 + 5704*b58*b514 + 7316*b58*
    b516 + 2356*b58*b517 + 7192*b58*b518 + 992*b58*b519 + 372*b58*b521 + 2604*
    b58*b522 + 11160*b58*b523 + 5828*b58*b524 + 3100*b58*b525 + 3720*b58*b526
     + 5332*b58*b527 + 12028*b58*b528 + 4092*b58*b529 + 4340*b58*b530 + 8272*
    b58*b531 + 8460*b58*b532 + 11468*b58*b533 + 176*b58*b537 + 180*b58*b538 + 
    244*b58*b539 + 2376*b58*b540 + 2430*b58*b541 + 3294*b58*b542 + 7216*b58*
    b543 + 7380*b58*b544 + 10004*b58*b545 + 6248*b58*b546 + 6390*b58*b547 + 
    8662*b58*b548 + 6248*b58*b549 + 6390*b58*b550 + 8662*b58*b551 + 3520*b58*
    b552 + 3600*b58*b553 + 4880*b58*b554 + 8184*b58*b555 + 8370*b58*b556 + 
    11346*b58*b557 + 2376*b58*b558 + 2430*b58*b559 + 3294*b58*b560 + 8184*b58*
    b561 + 8370*b58*b562 + 11346*b58*b563 + 8096*b58*b564 + 8280*b58*b565 + 
    11224*b58*b566 + 2992*b58*b567 + 3060*b58*b568 + 4148*b58*b569 + 3432*b58*
    b570 + 3510*b58*b571 + 4758*b58*b572 + 2728*b58*b573 + 2790*b58*b574 + 3782
    *b58*b575 + 2288*b58*b576 + 2340*b58*b577 + 3172*b58*b578 + 88*b58*b579 + 
    90*b58*b580 + 122*b58*b581 + 7656*b58*b582 + 7830*b58*b583 + 10614*b58*b584
     + 6336*b58*b585 + 6480*b58*b586 + 8784*b58*b587 + 5192*b58*b588 + 5310*b58
    *b589 + 7198*b58*b590 + 8536*b58*b591 + 8730*b58*b592 + 11834*b58*b593 + 
    4048*b58*b594 + 4140*b58*b595 + 5612*b58*b596 + 5456*b58*b597 + 5580*b58*
    b598 + 7564*b58*b599 + 11036*b58*b600 + 9920*b58*b601 + 5580*b58*b602 + 
    3968*b58*b603 + 5704*b58*b604 + 7316*b58*b606 + 2356*b58*b607 + 7192*b58*
    b608 + 992*b58*b609 + 372*b58*b611 + 2604*b58*b612 + 11160*b58*b613 + 5580*
    b58*b614 + 5828*b58*b615 + 3100*b58*b616 + 3720*b58*b617 + 5332*b58*b618 + 
    12028*b58*b619 + 4092*b58*b620 + 4340*b58*b621 + 7564*b58*b622 + 11284*b58*
    b623 + 8624*b58*b624 + 8820*b58*b625 + 11956*b58*b626 + 236*b59*b69 + 304*
    b59*b70 + 232*b59*b71 + 260*b59*b72 + 348*b59*b73 + 52*b59*b74 + 248*b59*
    b75 + 196*b59*b76 + 340*b59*b77 + 68*b59*b78 + 204*b59*b79 + 12*b59*b80 + 
    168*b59*b82 + 144*b59*b83 + 28*b59*b84 + 336*b59*b85 + 24*b59*b86 + 192*b59
    *b89 + 248*b59*b90 + 3186*b59*b91 + 4104*b59*b92 + 3132*b59*b93 + 3510*b59*
    b94 + 4698*b59*b95 + 702*b59*b96 + 3348*b59*b97 + 2646*b59*b98 + 4590*b59*
    b99 + 918*b59*b100 + 2754*b59*b101 + 162*b59*b102 + 2268*b59*b104 + 1944*
    b59*b105 + 378*b59*b106 + 4536*b59*b107 + 324*b59*b108 + 2592*b59*b111 + 
    3348*b59*b112 + 9676*b59*b113 + 12464*b59*b114 + 9512*b59*b115 + 10660*b59*
    b116 + 14268*b59*b117 + 2132*b59*b118 + 10168*b59*b119 + 8036*b59*b120 + 
    13940*b59*b121 + 2788*b59*b122 + 8364*b59*b123 + 492*b59*b124 + 6888*b59*
    b126 + 5904*b59*b127 + 1148*b59*b128 + 13776*b59*b129 + 984*b59*b130 + 7872
    *b59*b133 + 10168*b59*b134 + 8378*b59*b135 + 10792*b59*b136 + 8236*b59*b137
     + 9230*b59*b138 + 12354*b59*b139 + 1846*b59*b140 + 8804*b59*b141 + 6958*
    b59*b142 + 12070*b59*b143 + 2414*b59*b144 + 7242*b59*b145 + 426*b59*b146 + 
    5964*b59*b148 + 5112*b59*b149 + 994*b59*b150 + 11928*b59*b151 + 852*b59*
    b152 + 6816*b59*b155 + 8804*b59*b156 + 8378*b59*b157 + 10792*b59*b158 + 
    8236*b59*b159 + 9230*b59*b160 + 12354*b59*b161 + 1846*b59*b162 + 8804*b59*
    b163 + 6958*b59*b164 + 12070*b59*b165 + 2414*b59*b166 + 7242*b59*b167 + 426
    *b59*b168 + 5964*b59*b170 + 5112*b59*b171 + 994*b59*b172 + 11928*b59*b173
     + 852*b59*b174 + 6816*b59*b177 + 8804*b59*b178 + 4720*b59*b179 + 6080*b59*
    b180 + 4640*b59*b181 + 5200*b59*b182 + 6960*b59*b183 + 1040*b59*b184 + 4960
    *b59*b185 + 3920*b59*b186 + 6800*b59*b187 + 1360*b59*b188 + 4080*b59*b189
     + 240*b59*b190 + 3360*b59*b192 + 2880*b59*b193 + 560*b59*b194 + 6720*b59*
    b195 + 480*b59*b196 + 3840*b59*b199 + 4960*b59*b200 + 10974*b59*b201 + 
    14136*b59*b202 + 10788*b59*b203 + 12090*b59*b204 + 16182*b59*b205 + 2418*
    b59*b206 + 11532*b59*b207 + 9114*b59*b208 + 15810*b59*b209 + 3162*b59*b210
     + 9486*b59*b211 + 558*b59*b212 + 7812*b59*b214 + 6696*b59*b215 + 1302*b59*
    b216 + 15624*b59*b217 + 1116*b59*b218 + 8928*b59*b221 + 11532*b59*b222 + 
    3186*b59*b223 + 4104*b59*b224 + 3132*b59*b225 + 3510*b59*b226 + 4698*b59*
    b227 + 702*b59*b228 + 3348*b59*b229 + 2646*b59*b230 + 4590*b59*b231 + 918*
    b59*b232 + 2754*b59*b233 + 162*b59*b234 + 2268*b59*b236 + 1944*b59*b237 + 
    378*b59*b238 + 4536*b59*b239 + 324*b59*b240 + 2592*b59*b243 + 3348*b59*b244
     + 10974*b59*b245 + 14136*b59*b246 + 10788*b59*b247 + 12090*b59*b248 + 
    16182*b59*b249 + 2418*b59*b250 + 11532*b59*b251 + 9114*b59*b252 + 15810*b59
    *b253 + 3162*b59*b254 + 9486*b59*b255 + 558*b59*b256 + 7812*b59*b258 + 6696
    *b59*b259 + 1302*b59*b260 + 15624*b59*b261 + 1116*b59*b262 + 8928*b59*b265
     + 11532*b59*b266 + 10856*b59*b267 + 13984*b59*b268 + 10672*b59*b269 + 
    11960*b59*b270 + 16008*b59*b271 + 2392*b59*b272 + 11408*b59*b273 + 9016*b59
    *b274 + 15640*b59*b275 + 3128*b59*b276 + 9384*b59*b277 + 552*b59*b278 + 
    7728*b59*b280 + 6624*b59*b281 + 1288*b59*b282 + 15456*b59*b283 + 1104*b59*
    b284 + 8832*b59*b287 + 11408*b59*b288 + 4012*b59*b289 + 5168*b59*b290 + 
    3944*b59*b291 + 4420*b59*b292 + 5916*b59*b293 + 884*b59*b294 + 4216*b59*
    b295 + 3332*b59*b296 + 5780*b59*b297 + 1156*b59*b298 + 3468*b59*b299 + 204*
    b59*b300 + 2856*b59*b302 + 2448*b59*b303 + 476*b59*b304 + 5712*b59*b305 + 
    408*b59*b306 + 3264*b59*b309 + 4216*b59*b310 + 4602*b59*b311 + 5928*b59*
    b312 + 4524*b59*b313 + 5070*b59*b314 + 6786*b59*b315 + 1014*b59*b316 + 4836
    *b59*b317 + 3822*b59*b318 + 6630*b59*b319 + 1326*b59*b320 + 3978*b59*b321
     + 234*b59*b322 + 3276*b59*b324 + 2808*b59*b325 + 546*b59*b326 + 6552*b59*
    b327 + 468*b59*b328 + 3744*b59*b331 + 4836*b59*b332 + 3658*b59*b333 + 4712*
    b59*b334 + 3596*b59*b335 + 4030*b59*b336 + 5394*b59*b337 + 806*b59*b338 + 
    3844*b59*b339 + 3038*b59*b340 + 5270*b59*b341 + 1054*b59*b342 + 3162*b59*
    b343 + 186*b59*b344 + 2604*b59*b346 + 2232*b59*b347 + 434*b59*b348 + 5208*
    b59*b349 + 372*b59*b350 + 2976*b59*b353 + 3844*b59*b354 + 3068*b59*b355 + 
    3952*b59*b356 + 3016*b59*b357 + 3380*b59*b358 + 4524*b59*b359 + 676*b59*
    b360 + 3224*b59*b361 + 2548*b59*b362 + 4420*b59*b363 + 884*b59*b364 + 2652*
    b59*b365 + 156*b59*b366 + 2184*b59*b368 + 1872*b59*b369 + 364*b59*b370 + 
    4368*b59*b371 + 312*b59*b372 + 2496*b59*b375 + 3224*b59*b376 + 118*b59*b377
     + 152*b59*b378 + 116*b59*b379 + 130*b59*b380 + 174*b59*b381 + 26*b59*b382
     + 124*b59*b383 + 98*b59*b384 + 170*b59*b385 + 34*b59*b386 + 102*b59*b387
     + 6*b59*b388 + 84*b59*b390 + 72*b59*b391 + 14*b59*b392 + 168*b59*b393 + 12
    *b59*b394 + 96*b59*b397 + 124*b59*b398 + 10266*b59*b399 + 13224*b59*b400 + 
    10092*b59*b401 + 11310*b59*b402 + 15138*b59*b403 + 2262*b59*b404 + 10788*
    b59*b405 + 8526*b59*b406 + 14790*b59*b407 + 2958*b59*b408 + 8874*b59*b409
     + 522*b59*b410 + 7308*b59*b412 + 6264*b59*b413 + 1218*b59*b414 + 14616*b59
    *b415 + 1044*b59*b416 + 8352*b59*b419 + 10788*b59*b420 + 8496*b59*b421 + 
    10944*b59*b422 + 8352*b59*b423 + 9360*b59*b424 + 12528*b59*b425 + 1872*b59*
    b426 + 8928*b59*b427 + 7056*b59*b428 + 12240*b59*b429 + 2448*b59*b430 + 
    7344*b59*b431 + 432*b59*b432 + 6048*b59*b434 + 5184*b59*b435 + 1008*b59*
    b436 + 12096*b59*b437 + 864*b59*b438 + 6912*b59*b441 + 8928*b59*b442 + 6962
    *b59*b443 + 8968*b59*b444 + 6844*b59*b445 + 7670*b59*b446 + 10266*b59*b447
     + 1534*b59*b448 + 7316*b59*b449 + 5782*b59*b450 + 10030*b59*b451 + 2006*
    b59*b452 + 6018*b59*b453 + 354*b59*b454 + 4956*b59*b456 + 4248*b59*b457 + 
    826*b59*b458 + 9912*b59*b459 + 708*b59*b460 + 5664*b59*b463 + 7316*b59*b464
     + 11446*b59*b465 + 14744*b59*b466 + 11252*b59*b467 + 12610*b59*b468 + 
    16878*b59*b469 + 2522*b59*b470 + 12028*b59*b471 + 9506*b59*b472 + 16490*b59
    *b473 + 3298*b59*b474 + 9894*b59*b475 + 582*b59*b476 + 8148*b59*b478 + 6984
    *b59*b479 + 1358*b59*b480 + 16296*b59*b481 + 1164*b59*b482 + 9312*b59*b485
     + 12028*b59*b486 + 5428*b59*b487 + 6992*b59*b488 + 5336*b59*b489 + 5980*
    b59*b490 + 8004*b59*b491 + 1196*b59*b492 + 5704*b59*b493 + 4508*b59*b494 + 
    7820*b59*b495 + 1564*b59*b496 + 4692*b59*b497 + 276*b59*b498 + 3864*b59*
    b500 + 3312*b59*b501 + 644*b59*b502 + 7728*b59*b503 + 552*b59*b504 + 4416*
    b59*b507 + 5704*b59*b508 + 7316*b59*b509 + 9424*b59*b510 + 7192*b59*b511 + 
    8060*b59*b512 + 10788*b59*b513 + 1612*b59*b514 + 7688*b59*b515 + 6076*b59*
    b516 + 10540*b59*b517 + 2108*b59*b518 + 6324*b59*b519 + 372*b59*b520 + 5208
    *b59*b522 + 4464*b59*b523 + 868*b59*b524 + 10416*b59*b525 + 744*b59*b526 + 
    5952*b59*b529 + 7688*b59*b530 + 7520*b59*b531 + 8084*b59*b532 + 11092*b59*
    b533 + 160*b59*b537 + 172*b59*b538 + 236*b59*b539 + 2160*b59*b540 + 2322*
    b59*b541 + 3186*b59*b542 + 6560*b59*b543 + 7052*b59*b544 + 9676*b59*b545 + 
    5680*b59*b546 + 6106*b59*b547 + 8378*b59*b548 + 5680*b59*b549 + 6106*b59*
    b550 + 8378*b59*b551 + 3200*b59*b552 + 3440*b59*b553 + 4720*b59*b554 + 7440
    *b59*b555 + 7998*b59*b556 + 10974*b59*b557 + 2160*b59*b558 + 2322*b59*b559
     + 3186*b59*b560 + 7440*b59*b561 + 7998*b59*b562 + 10974*b59*b563 + 7360*
    b59*b564 + 7912*b59*b565 + 10856*b59*b566 + 2720*b59*b567 + 2924*b59*b568
     + 4012*b59*b569 + 3120*b59*b570 + 3354*b59*b571 + 4602*b59*b572 + 2480*b59
    *b573 + 2666*b59*b574 + 3658*b59*b575 + 2080*b59*b576 + 2236*b59*b577 + 
    3068*b59*b578 + 80*b59*b579 + 86*b59*b580 + 118*b59*b581 + 6960*b59*b582 + 
    7482*b59*b583 + 10266*b59*b584 + 5760*b59*b585 + 6192*b59*b586 + 8496*b59*
    b587 + 4720*b59*b588 + 5074*b59*b589 + 6962*b59*b590 + 7760*b59*b591 + 8342
    *b59*b592 + 11446*b59*b593 + 3680*b59*b594 + 3956*b59*b595 + 5428*b59*b596
     + 4960*b59*b597 + 5332*b59*b598 + 7316*b59*b599 + 9424*b59*b600 + 7192*b59
    *b601 + 8060*b59*b602 + 10788*b59*b603 + 1612*b59*b604 + 7688*b59*b605 + 
    6076*b59*b606 + 10540*b59*b607 + 2108*b59*b608 + 6324*b59*b609 + 372*b59*
    b610 + 5208*b59*b612 + 4464*b59*b613 + 5332*b59*b614 + 868*b59*b615 + 10416
    *b59*b616 + 744*b59*b617 + 5952*b59*b620 + 7688*b59*b621 + 7316*b59*b622 + 
    7316*b59*b623 + 7840*b59*b624 + 8428*b59*b625 + 11564*b59*b626 + 72*b60*b69
     + 304*b60*b70 + 84*b60*b71 + 160*b60*b72 + 268*b60*b73 + 80*b60*b74 + 164*
    b60*b75 + 340*b60*b76 + 208*b60*b77 + 272*b60*b78 + 4*b60*b79 + 84*b60*b80
     + 168*b60*b81 + 116*b60*b83 + 328*b60*b84 + 116*b60*b85 + 12*b60*b86 + 12*
    b60*b87 + 204*b60*b88 + 268*b60*b89 + 156*b60*b90 + 972*b60*b91 + 4104*b60*
    b92 + 1134*b60*b93 + 2160*b60*b94 + 3618*b60*b95 + 1080*b60*b96 + 2214*b60*
    b97 + 4590*b60*b98 + 2808*b60*b99 + 3672*b60*b100 + 54*b60*b101 + 1134*b60*
    b102 + 2268*b60*b103 + 1566*b60*b105 + 4428*b60*b106 + 1566*b60*b107 + 162*
    b60*b108 + 162*b60*b109 + 2754*b60*b110 + 3618*b60*b111 + 2106*b60*b112 + 
    2952*b60*b113 + 12464*b60*b114 + 3444*b60*b115 + 6560*b60*b116 + 10988*b60*
    b117 + 3280*b60*b118 + 6724*b60*b119 + 13940*b60*b120 + 8528*b60*b121 + 
    11152*b60*b122 + 164*b60*b123 + 3444*b60*b124 + 6888*b60*b125 + 4756*b60*
    b127 + 13448*b60*b128 + 4756*b60*b129 + 492*b60*b130 + 492*b60*b131 + 8364*
    b60*b132 + 10988*b60*b133 + 6396*b60*b134 + 2556*b60*b135 + 10792*b60*b136
     + 2982*b60*b137 + 5680*b60*b138 + 9514*b60*b139 + 2840*b60*b140 + 5822*b60
    *b141 + 12070*b60*b142 + 7384*b60*b143 + 9656*b60*b144 + 142*b60*b145 + 
    2982*b60*b146 + 5964*b60*b147 + 4118*b60*b149 + 11644*b60*b150 + 4118*b60*
    b151 + 426*b60*b152 + 426*b60*b153 + 7242*b60*b154 + 9514*b60*b155 + 5538*
    b60*b156 + 2556*b60*b157 + 10792*b60*b158 + 2982*b60*b159 + 5680*b60*b160
     + 9514*b60*b161 + 2840*b60*b162 + 5822*b60*b163 + 12070*b60*b164 + 7384*
    b60*b165 + 9656*b60*b166 + 142*b60*b167 + 2982*b60*b168 + 5964*b60*b169 + 
    4118*b60*b171 + 11644*b60*b172 + 4118*b60*b173 + 426*b60*b174 + 426*b60*
    b175 + 7242*b60*b176 + 9514*b60*b177 + 5538*b60*b178 + 1440*b60*b179 + 6080
    *b60*b180 + 1680*b60*b181 + 3200*b60*b182 + 5360*b60*b183 + 1600*b60*b184
     + 3280*b60*b185 + 6800*b60*b186 + 4160*b60*b187 + 5440*b60*b188 + 80*b60*
    b189 + 1680*b60*b190 + 3360*b60*b191 + 2320*b60*b193 + 6560*b60*b194 + 2320
    *b60*b195 + 240*b60*b196 + 240*b60*b197 + 4080*b60*b198 + 5360*b60*b199 + 
    3120*b60*b200 + 3348*b60*b201 + 14136*b60*b202 + 3906*b60*b203 + 7440*b60*
    b204 + 12462*b60*b205 + 3720*b60*b206 + 7626*b60*b207 + 15810*b60*b208 + 
    9672*b60*b209 + 12648*b60*b210 + 186*b60*b211 + 3906*b60*b212 + 7812*b60*
    b213 + 5394*b60*b215 + 15252*b60*b216 + 5394*b60*b217 + 558*b60*b218 + 558*
    b60*b219 + 9486*b60*b220 + 12462*b60*b221 + 7254*b60*b222 + 972*b60*b223 + 
    4104*b60*b224 + 1134*b60*b225 + 2160*b60*b226 + 3618*b60*b227 + 1080*b60*
    b228 + 2214*b60*b229 + 4590*b60*b230 + 2808*b60*b231 + 3672*b60*b232 + 54*
    b60*b233 + 1134*b60*b234 + 2268*b60*b235 + 1566*b60*b237 + 4428*b60*b238 + 
    1566*b60*b239 + 162*b60*b240 + 162*b60*b241 + 2754*b60*b242 + 3618*b60*b243
     + 2106*b60*b244 + 3348*b60*b245 + 14136*b60*b246 + 3906*b60*b247 + 7440*
    b60*b248 + 12462*b60*b249 + 3720*b60*b250 + 7626*b60*b251 + 15810*b60*b252
     + 9672*b60*b253 + 12648*b60*b254 + 186*b60*b255 + 3906*b60*b256 + 7812*b60
    *b257 + 5394*b60*b259 + 15252*b60*b260 + 5394*b60*b261 + 558*b60*b262 + 558
    *b60*b263 + 9486*b60*b264 + 12462*b60*b265 + 7254*b60*b266 + 3312*b60*b267
     + 13984*b60*b268 + 3864*b60*b269 + 7360*b60*b270 + 12328*b60*b271 + 3680*
    b60*b272 + 7544*b60*b273 + 15640*b60*b274 + 9568*b60*b275 + 12512*b60*b276
     + 184*b60*b277 + 3864*b60*b278 + 7728*b60*b279 + 5336*b60*b281 + 15088*b60
    *b282 + 5336*b60*b283 + 552*b60*b284 + 552*b60*b285 + 9384*b60*b286 + 12328
    *b60*b287 + 7176*b60*b288 + 1224*b60*b289 + 5168*b60*b290 + 1428*b60*b291
     + 2720*b60*b292 + 4556*b60*b293 + 1360*b60*b294 + 2788*b60*b295 + 5780*b60
    *b296 + 3536*b60*b297 + 4624*b60*b298 + 68*b60*b299 + 1428*b60*b300 + 2856*
    b60*b301 + 1972*b60*b303 + 5576*b60*b304 + 1972*b60*b305 + 204*b60*b306 + 
    204*b60*b307 + 3468*b60*b308 + 4556*b60*b309 + 2652*b60*b310 + 1404*b60*
    b311 + 5928*b60*b312 + 1638*b60*b313 + 3120*b60*b314 + 5226*b60*b315 + 1560
    *b60*b316 + 3198*b60*b317 + 6630*b60*b318 + 4056*b60*b319 + 5304*b60*b320
     + 78*b60*b321 + 1638*b60*b322 + 3276*b60*b323 + 2262*b60*b325 + 6396*b60*
    b326 + 2262*b60*b327 + 234*b60*b328 + 234*b60*b329 + 3978*b60*b330 + 5226*
    b60*b331 + 3042*b60*b332 + 1116*b60*b333 + 4712*b60*b334 + 1302*b60*b335 + 
    2480*b60*b336 + 4154*b60*b337 + 1240*b60*b338 + 2542*b60*b339 + 5270*b60*
    b340 + 3224*b60*b341 + 4216*b60*b342 + 62*b60*b343 + 1302*b60*b344 + 2604*
    b60*b345 + 1798*b60*b347 + 5084*b60*b348 + 1798*b60*b349 + 186*b60*b350 + 
    186*b60*b351 + 3162*b60*b352 + 4154*b60*b353 + 2418*b60*b354 + 936*b60*b355
     + 3952*b60*b356 + 1092*b60*b357 + 2080*b60*b358 + 3484*b60*b359 + 1040*b60
    *b360 + 2132*b60*b361 + 4420*b60*b362 + 2704*b60*b363 + 3536*b60*b364 + 52*
    b60*b365 + 1092*b60*b366 + 2184*b60*b367 + 1508*b60*b369 + 4264*b60*b370 + 
    1508*b60*b371 + 156*b60*b372 + 156*b60*b373 + 2652*b60*b374 + 3484*b60*b375
     + 2028*b60*b376 + 36*b60*b377 + 152*b60*b378 + 42*b60*b379 + 80*b60*b380
     + 134*b60*b381 + 40*b60*b382 + 82*b60*b383 + 170*b60*b384 + 104*b60*b385
     + 136*b60*b386 + 2*b60*b387 + 42*b60*b388 + 84*b60*b389 + 58*b60*b391 + 
    164*b60*b392 + 58*b60*b393 + 6*b60*b394 + 6*b60*b395 + 102*b60*b396 + 134*
    b60*b397 + 78*b60*b398 + 3132*b60*b399 + 13224*b60*b400 + 3654*b60*b401 + 
    6960*b60*b402 + 11658*b60*b403 + 3480*b60*b404 + 7134*b60*b405 + 14790*b60*
    b406 + 9048*b60*b407 + 11832*b60*b408 + 174*b60*b409 + 3654*b60*b410 + 7308
    *b60*b411 + 5046*b60*b413 + 14268*b60*b414 + 5046*b60*b415 + 522*b60*b416
     + 522*b60*b417 + 8874*b60*b418 + 11658*b60*b419 + 6786*b60*b420 + 2592*b60
    *b421 + 10944*b60*b422 + 3024*b60*b423 + 5760*b60*b424 + 9648*b60*b425 + 
    2880*b60*b426 + 5904*b60*b427 + 12240*b60*b428 + 7488*b60*b429 + 9792*b60*
    b430 + 144*b60*b431 + 3024*b60*b432 + 6048*b60*b433 + 4176*b60*b435 + 11808
    *b60*b436 + 4176*b60*b437 + 432*b60*b438 + 432*b60*b439 + 7344*b60*b440 + 
    9648*b60*b441 + 5616*b60*b442 + 2124*b60*b443 + 8968*b60*b444 + 2478*b60*
    b445 + 4720*b60*b446 + 7906*b60*b447 + 2360*b60*b448 + 4838*b60*b449 + 
    10030*b60*b450 + 6136*b60*b451 + 8024*b60*b452 + 118*b60*b453 + 2478*b60*
    b454 + 4956*b60*b455 + 3422*b60*b457 + 9676*b60*b458 + 3422*b60*b459 + 354*
    b60*b460 + 354*b60*b461 + 6018*b60*b462 + 7906*b60*b463 + 4602*b60*b464 + 
    3492*b60*b465 + 14744*b60*b466 + 4074*b60*b467 + 7760*b60*b468 + 12998*b60*
    b469 + 3880*b60*b470 + 7954*b60*b471 + 16490*b60*b472 + 10088*b60*b473 + 
    13192*b60*b474 + 194*b60*b475 + 4074*b60*b476 + 8148*b60*b477 + 5626*b60*
    b479 + 15908*b60*b480 + 5626*b60*b481 + 582*b60*b482 + 582*b60*b483 + 9894*
    b60*b484 + 12998*b60*b485 + 7566*b60*b486 + 1656*b60*b487 + 6992*b60*b488
     + 1932*b60*b489 + 3680*b60*b490 + 6164*b60*b491 + 1840*b60*b492 + 3772*b60
    *b493 + 7820*b60*b494 + 4784*b60*b495 + 6256*b60*b496 + 92*b60*b497 + 1932*
    b60*b498 + 3864*b60*b499 + 2668*b60*b501 + 7544*b60*b502 + 2668*b60*b503 + 
    276*b60*b504 + 276*b60*b505 + 4692*b60*b506 + 6164*b60*b507 + 3588*b60*b508
     + 2232*b60*b509 + 9424*b60*b510 + 2604*b60*b511 + 4960*b60*b512 + 8308*b60
    *b513 + 2480*b60*b514 + 5084*b60*b515 + 10540*b60*b516 + 6448*b60*b517 + 
    8432*b60*b518 + 124*b60*b519 + 2604*b60*b520 + 5208*b60*b521 + 3596*b60*
    b523 + 10168*b60*b524 + 3596*b60*b525 + 372*b60*b526 + 372*b60*b527 + 6324*
    b60*b528 + 8308*b60*b529 + 4836*b60*b530 + 14100*b60*b531 + 17672*b60*b532
     + 2820*b60*b533 + 300*b60*b537 + 376*b60*b538 + 60*b60*b539 + 4050*b60*
    b540 + 5076*b60*b541 + 810*b60*b542 + 12300*b60*b543 + 15416*b60*b544 + 
    2460*b60*b545 + 10650*b60*b546 + 13348*b60*b547 + 2130*b60*b548 + 10650*b60
    *b549 + 13348*b60*b550 + 2130*b60*b551 + 6000*b60*b552 + 7520*b60*b553 + 
    1200*b60*b554 + 13950*b60*b555 + 17484*b60*b556 + 2790*b60*b557 + 4050*b60*
    b558 + 5076*b60*b559 + 810*b60*b560 + 13950*b60*b561 + 17484*b60*b562 + 
    2790*b60*b563 + 13800*b60*b564 + 17296*b60*b565 + 2760*b60*b566 + 5100*b60*
    b567 + 6392*b60*b568 + 1020*b60*b569 + 5850*b60*b570 + 7332*b60*b571 + 1170
    *b60*b572 + 4650*b60*b573 + 5828*b60*b574 + 930*b60*b575 + 3900*b60*b576 + 
    4888*b60*b577 + 780*b60*b578 + 150*b60*b579 + 188*b60*b580 + 30*b60*b581 + 
    13050*b60*b582 + 16356*b60*b583 + 2610*b60*b584 + 10800*b60*b585 + 13536*
    b60*b586 + 2160*b60*b587 + 8850*b60*b588 + 11092*b60*b589 + 1770*b60*b590
     + 14550*b60*b591 + 18236*b60*b592 + 2910*b60*b593 + 6900*b60*b594 + 8648*
    b60*b595 + 1380*b60*b596 + 9300*b60*b597 + 11656*b60*b598 + 1860*b60*b599
     + 9424*b60*b600 + 2604*b60*b601 + 4960*b60*b602 + 8308*b60*b603 + 2480*b60
    *b604 + 5084*b60*b605 + 10540*b60*b606 + 6448*b60*b607 + 8432*b60*b608 + 
    124*b60*b609 + 2604*b60*b610 + 5208*b60*b611 + 3596*b60*b613 + 11656*b60*
    b614 + 10168*b60*b615 + 3596*b60*b616 + 372*b60*b617 + 372*b60*b618 + 6324*
    b60*b619 + 8308*b60*b620 + 4836*b60*b621 + 1860*b60*b622 + 2232*b60*b623 + 
    14700*b60*b624 + 18424*b60*b625 + 2940*b60*b626 + 304*b61*b69 + 160*b61*b70
     + 304*b61*b71 + 216*b61*b72 + 376*b61*b73 + 344*b61*b74 + 248*b61*b75 + 
    336*b61*b76 + 136*b61*b77 + 108*b61*b78 + 364*b61*b79 + 360*b61*b80 + 144*
    b61*b81 + 116*b61*b82 + 168*b61*b84 + 92*b61*b85 + 248*b61*b86 + 248*b61*
    b87 + 112*b61*b88 + 304*b61*b89 + 264*b61*b90 + 4104*b61*b91 + 2160*b61*b92
     + 4104*b61*b93 + 2916*b61*b94 + 5076*b61*b95 + 4644*b61*b96 + 3348*b61*b97
     + 4536*b61*b98 + 1836*b61*b99 + 1458*b61*b100 + 4914*b61*b101 + 4860*b61*
    b102 + 1944*b61*b103 + 1566*b61*b104 + 2268*b61*b106 + 1242*b61*b107 + 3348
    *b61*b108 + 3348*b61*b109 + 1512*b61*b110 + 4104*b61*b111 + 3564*b61*b112
     + 12464*b61*b113 + 6560*b61*b114 + 12464*b61*b115 + 8856*b61*b116 + 15416*
    b61*b117 + 14104*b61*b118 + 10168*b61*b119 + 13776*b61*b120 + 5576*b61*b121
     + 4428*b61*b122 + 14924*b61*b123 + 14760*b61*b124 + 5904*b61*b125 + 4756*
    b61*b126 + 6888*b61*b128 + 3772*b61*b129 + 10168*b61*b130 + 10168*b61*b131
     + 4592*b61*b132 + 12464*b61*b133 + 10824*b61*b134 + 10792*b61*b135 + 5680*
    b61*b136 + 10792*b61*b137 + 7668*b61*b138 + 13348*b61*b139 + 12212*b61*b140
     + 8804*b61*b141 + 11928*b61*b142 + 4828*b61*b143 + 3834*b61*b144 + 12922*
    b61*b145 + 12780*b61*b146 + 5112*b61*b147 + 4118*b61*b148 + 5964*b61*b150
     + 3266*b61*b151 + 8804*b61*b152 + 8804*b61*b153 + 3976*b61*b154 + 10792*
    b61*b155 + 9372*b61*b156 + 10792*b61*b157 + 5680*b61*b158 + 10792*b61*b159
     + 7668*b61*b160 + 13348*b61*b161 + 12212*b61*b162 + 8804*b61*b163 + 11928*
    b61*b164 + 4828*b61*b165 + 3834*b61*b166 + 12922*b61*b167 + 12780*b61*b168
     + 5112*b61*b169 + 4118*b61*b170 + 5964*b61*b172 + 3266*b61*b173 + 8804*b61
    *b174 + 8804*b61*b175 + 3976*b61*b176 + 10792*b61*b177 + 9372*b61*b178 + 
    6080*b61*b179 + 3200*b61*b180 + 6080*b61*b181 + 4320*b61*b182 + 7520*b61*
    b183 + 6880*b61*b184 + 4960*b61*b185 + 6720*b61*b186 + 2720*b61*b187 + 2160
    *b61*b188 + 7280*b61*b189 + 7200*b61*b190 + 2880*b61*b191 + 2320*b61*b192
     + 3360*b61*b194 + 1840*b61*b195 + 4960*b61*b196 + 4960*b61*b197 + 2240*b61
    *b198 + 6080*b61*b199 + 5280*b61*b200 + 14136*b61*b201 + 7440*b61*b202 + 
    14136*b61*b203 + 10044*b61*b204 + 17484*b61*b205 + 15996*b61*b206 + 11532*
    b61*b207 + 15624*b61*b208 + 6324*b61*b209 + 5022*b61*b210 + 16926*b61*b211
     + 16740*b61*b212 + 6696*b61*b213 + 5394*b61*b214 + 7812*b61*b216 + 4278*
    b61*b217 + 11532*b61*b218 + 11532*b61*b219 + 5208*b61*b220 + 14136*b61*b221
     + 12276*b61*b222 + 4104*b61*b223 + 2160*b61*b224 + 4104*b61*b225 + 2916*
    b61*b226 + 5076*b61*b227 + 4644*b61*b228 + 3348*b61*b229 + 4536*b61*b230 + 
    1836*b61*b231 + 1458*b61*b232 + 4914*b61*b233 + 4860*b61*b234 + 1944*b61*
    b235 + 1566*b61*b236 + 2268*b61*b238 + 1242*b61*b239 + 3348*b61*b240 + 3348
    *b61*b241 + 1512*b61*b242 + 4104*b61*b243 + 3564*b61*b244 + 14136*b61*b245
     + 7440*b61*b246 + 14136*b61*b247 + 10044*b61*b248 + 17484*b61*b249 + 15996
    *b61*b250 + 11532*b61*b251 + 15624*b61*b252 + 6324*b61*b253 + 5022*b61*b254
     + 16926*b61*b255 + 16740*b61*b256 + 6696*b61*b257 + 5394*b61*b258 + 7812*
    b61*b260 + 4278*b61*b261 + 11532*b61*b262 + 11532*b61*b263 + 5208*b61*b264
     + 14136*b61*b265 + 12276*b61*b266 + 13984*b61*b267 + 7360*b61*b268 + 13984
    *b61*b269 + 9936*b61*b270 + 17296*b61*b271 + 15824*b61*b272 + 11408*b61*
    b273 + 15456*b61*b274 + 6256*b61*b275 + 4968*b61*b276 + 16744*b61*b277 + 
    16560*b61*b278 + 6624*b61*b279 + 5336*b61*b280 + 7728*b61*b282 + 4232*b61*
    b283 + 11408*b61*b284 + 11408*b61*b285 + 5152*b61*b286 + 13984*b61*b287 + 
    12144*b61*b288 + 5168*b61*b289 + 2720*b61*b290 + 5168*b61*b291 + 3672*b61*
    b292 + 6392*b61*b293 + 5848*b61*b294 + 4216*b61*b295 + 5712*b61*b296 + 2312
    *b61*b297 + 1836*b61*b298 + 6188*b61*b299 + 6120*b61*b300 + 2448*b61*b301
     + 1972*b61*b302 + 2856*b61*b304 + 1564*b61*b305 + 4216*b61*b306 + 4216*b61
    *b307 + 1904*b61*b308 + 5168*b61*b309 + 4488*b61*b310 + 5928*b61*b311 + 
    3120*b61*b312 + 5928*b61*b313 + 4212*b61*b314 + 7332*b61*b315 + 6708*b61*
    b316 + 4836*b61*b317 + 6552*b61*b318 + 2652*b61*b319 + 2106*b61*b320 + 7098
    *b61*b321 + 7020*b61*b322 + 2808*b61*b323 + 2262*b61*b324 + 3276*b61*b326
     + 1794*b61*b327 + 4836*b61*b328 + 4836*b61*b329 + 2184*b61*b330 + 5928*b61
    *b331 + 5148*b61*b332 + 4712*b61*b333 + 2480*b61*b334 + 4712*b61*b335 + 
    3348*b61*b336 + 5828*b61*b337 + 5332*b61*b338 + 3844*b61*b339 + 5208*b61*
    b340 + 2108*b61*b341 + 1674*b61*b342 + 5642*b61*b343 + 5580*b61*b344 + 2232
    *b61*b345 + 1798*b61*b346 + 2604*b61*b348 + 1426*b61*b349 + 3844*b61*b350
     + 3844*b61*b351 + 1736*b61*b352 + 4712*b61*b353 + 4092*b61*b354 + 3952*b61
    *b355 + 2080*b61*b356 + 3952*b61*b357 + 2808*b61*b358 + 4888*b61*b359 + 
    4472*b61*b360 + 3224*b61*b361 + 4368*b61*b362 + 1768*b61*b363 + 1404*b61*
    b364 + 4732*b61*b365 + 4680*b61*b366 + 1872*b61*b367 + 1508*b61*b368 + 2184
    *b61*b370 + 1196*b61*b371 + 3224*b61*b372 + 3224*b61*b373 + 1456*b61*b374
     + 3952*b61*b375 + 3432*b61*b376 + 152*b61*b377 + 80*b61*b378 + 152*b61*
    b379 + 108*b61*b380 + 188*b61*b381 + 172*b61*b382 + 124*b61*b383 + 168*b61*
    b384 + 68*b61*b385 + 54*b61*b386 + 182*b61*b387 + 180*b61*b388 + 72*b61*
    b389 + 58*b61*b390 + 84*b61*b392 + 46*b61*b393 + 124*b61*b394 + 124*b61*
    b395 + 56*b61*b396 + 152*b61*b397 + 132*b61*b398 + 13224*b61*b399 + 6960*
    b61*b400 + 13224*b61*b401 + 9396*b61*b402 + 16356*b61*b403 + 14964*b61*b404
     + 10788*b61*b405 + 14616*b61*b406 + 5916*b61*b407 + 4698*b61*b408 + 15834*
    b61*b409 + 15660*b61*b410 + 6264*b61*b411 + 5046*b61*b412 + 7308*b61*b414
     + 4002*b61*b415 + 10788*b61*b416 + 10788*b61*b417 + 4872*b61*b418 + 13224*
    b61*b419 + 11484*b61*b420 + 10944*b61*b421 + 5760*b61*b422 + 10944*b61*b423
     + 7776*b61*b424 + 13536*b61*b425 + 12384*b61*b426 + 8928*b61*b427 + 12096*
    b61*b428 + 4896*b61*b429 + 3888*b61*b430 + 13104*b61*b431 + 12960*b61*b432
     + 5184*b61*b433 + 4176*b61*b434 + 6048*b61*b436 + 3312*b61*b437 + 8928*b61
    *b438 + 8928*b61*b439 + 4032*b61*b440 + 10944*b61*b441 + 9504*b61*b442 + 
    8968*b61*b443 + 4720*b61*b444 + 8968*b61*b445 + 6372*b61*b446 + 11092*b61*
    b447 + 10148*b61*b448 + 7316*b61*b449 + 9912*b61*b450 + 4012*b61*b451 + 
    3186*b61*b452 + 10738*b61*b453 + 10620*b61*b454 + 4248*b61*b455 + 3422*b61*
    b456 + 4956*b61*b458 + 2714*b61*b459 + 7316*b61*b460 + 7316*b61*b461 + 3304
    *b61*b462 + 8968*b61*b463 + 7788*b61*b464 + 14744*b61*b465 + 7760*b61*b466
     + 14744*b61*b467 + 10476*b61*b468 + 18236*b61*b469 + 16684*b61*b470 + 
    12028*b61*b471 + 16296*b61*b472 + 6596*b61*b473 + 5238*b61*b474 + 17654*b61
    *b475 + 17460*b61*b476 + 6984*b61*b477 + 5626*b61*b478 + 8148*b61*b480 + 
    4462*b61*b481 + 12028*b61*b482 + 12028*b61*b483 + 5432*b61*b484 + 14744*b61
    *b485 + 12804*b61*b486 + 6992*b61*b487 + 3680*b61*b488 + 6992*b61*b489 + 
    4968*b61*b490 + 8648*b61*b491 + 7912*b61*b492 + 5704*b61*b493 + 7728*b61*
    b494 + 3128*b61*b495 + 2484*b61*b496 + 8372*b61*b497 + 8280*b61*b498 + 3312
    *b61*b499 + 2668*b61*b500 + 3864*b61*b502 + 2116*b61*b503 + 5704*b61*b504
     + 5704*b61*b505 + 2576*b61*b506 + 6992*b61*b507 + 6072*b61*b508 + 9424*b61
    *b509 + 4960*b61*b510 + 9424*b61*b511 + 6696*b61*b512 + 11656*b61*b513 + 
    10664*b61*b514 + 7688*b61*b515 + 10416*b61*b516 + 4216*b61*b517 + 3348*b61*
    b518 + 11284*b61*b519 + 11160*b61*b520 + 4464*b61*b521 + 3596*b61*b522 + 
    5208*b61*b524 + 2852*b61*b525 + 7688*b61*b526 + 7688*b61*b527 + 3472*b61*
    b528 + 9424*b61*b529 + 8184*b61*b530 + 14852*b61*b531 + 12408*b61*b532 + 
    15416*b61*b533 + 316*b61*b537 + 264*b61*b538 + 328*b61*b539 + 4266*b61*b540
     + 3564*b61*b541 + 4428*b61*b542 + 12956*b61*b543 + 10824*b61*b544 + 13448*
    b61*b545 + 11218*b61*b546 + 9372*b61*b547 + 11644*b61*b548 + 11218*b61*b549
     + 9372*b61*b550 + 11644*b61*b551 + 6320*b61*b552 + 5280*b61*b553 + 6560*
    b61*b554 + 14694*b61*b555 + 12276*b61*b556 + 15252*b61*b557 + 4266*b61*b558
     + 3564*b61*b559 + 4428*b61*b560 + 14694*b61*b561 + 12276*b61*b562 + 15252*
    b61*b563 + 14536*b61*b564 + 12144*b61*b565 + 15088*b61*b566 + 5372*b61*b567
     + 4488*b61*b568 + 5576*b61*b569 + 6162*b61*b570 + 5148*b61*b571 + 6396*b61
    *b572 + 4898*b61*b573 + 4092*b61*b574 + 5084*b61*b575 + 4108*b61*b576 + 
    3432*b61*b577 + 4264*b61*b578 + 158*b61*b579 + 132*b61*b580 + 164*b61*b581
     + 13746*b61*b582 + 11484*b61*b583 + 14268*b61*b584 + 11376*b61*b585 + 9504
    *b61*b586 + 11808*b61*b587 + 9322*b61*b588 + 7788*b61*b589 + 9676*b61*b590
     + 15326*b61*b591 + 12804*b61*b592 + 15908*b61*b593 + 7268*b61*b594 + 6072*
    b61*b595 + 7544*b61*b596 + 9796*b61*b597 + 8184*b61*b598 + 10168*b61*b599
     + 4960*b61*b600 + 9424*b61*b601 + 6696*b61*b602 + 11656*b61*b603 + 10664*
    b61*b604 + 7688*b61*b605 + 10416*b61*b606 + 4216*b61*b607 + 3348*b61*b608
     + 11284*b61*b609 + 11160*b61*b610 + 4464*b61*b611 + 3596*b61*b612 + 8184*
    b61*b614 + 5208*b61*b615 + 2852*b61*b616 + 7688*b61*b617 + 7688*b61*b618 + 
    3472*b61*b619 + 9424*b61*b620 + 8184*b61*b621 + 10168*b61*b622 + 9424*b61*
    b623 + 15484*b61*b624 + 12936*b61*b625 + 16072*b61*b626 + 72*b62*b69 + 224*
    b62*b70 + 176*b62*b71 + 56*b62*b72 + 8*b62*b73 + 308*b62*b74 + 100*b62*b75
     + 152*b62*b76 + 160*b62*b77 + 24*b62*b78 + 348*b62*b79 + 188*b62*b80 + 28*
    b62*b81 + 328*b62*b82 + 168*b62*b83 + 344*b62*b85 + 240*b62*b86 + 248*b62*
    b87 + 248*b62*b88 + 332*b62*b89 + 364*b62*b90 + 972*b62*b91 + 3024*b62*b92
     + 2376*b62*b93 + 756*b62*b94 + 108*b62*b95 + 4158*b62*b96 + 1350*b62*b97
     + 2052*b62*b98 + 2160*b62*b99 + 324*b62*b100 + 4698*b62*b101 + 2538*b62*
    b102 + 378*b62*b103 + 4428*b62*b104 + 2268*b62*b105 + 4644*b62*b107 + 3240*
    b62*b108 + 3348*b62*b109 + 3348*b62*b110 + 4482*b62*b111 + 4914*b62*b112 + 
    2952*b62*b113 + 9184*b62*b114 + 7216*b62*b115 + 2296*b62*b116 + 328*b62*
    b117 + 12628*b62*b118 + 4100*b62*b119 + 6232*b62*b120 + 6560*b62*b121 + 984
    *b62*b122 + 14268*b62*b123 + 7708*b62*b124 + 1148*b62*b125 + 13448*b62*b126
     + 6888*b62*b127 + 14104*b62*b129 + 9840*b62*b130 + 10168*b62*b131 + 10168*
    b62*b132 + 13612*b62*b133 + 14924*b62*b134 + 2556*b62*b135 + 7952*b62*b136
     + 6248*b62*b137 + 1988*b62*b138 + 284*b62*b139 + 10934*b62*b140 + 3550*b62
    *b141 + 5396*b62*b142 + 5680*b62*b143 + 852*b62*b144 + 12354*b62*b145 + 
    6674*b62*b146 + 994*b62*b147 + 11644*b62*b148 + 5964*b62*b149 + 12212*b62*
    b151 + 8520*b62*b152 + 8804*b62*b153 + 8804*b62*b154 + 11786*b62*b155 + 
    12922*b62*b156 + 2556*b62*b157 + 7952*b62*b158 + 6248*b62*b159 + 1988*b62*
    b160 + 284*b62*b161 + 10934*b62*b162 + 3550*b62*b163 + 5396*b62*b164 + 5680
    *b62*b165 + 852*b62*b166 + 12354*b62*b167 + 6674*b62*b168 + 994*b62*b169 + 
    11644*b62*b170 + 5964*b62*b171 + 12212*b62*b173 + 8520*b62*b174 + 8804*b62*
    b175 + 8804*b62*b176 + 11786*b62*b177 + 12922*b62*b178 + 1440*b62*b179 + 
    4480*b62*b180 + 3520*b62*b181 + 1120*b62*b182 + 160*b62*b183 + 6160*b62*
    b184 + 2000*b62*b185 + 3040*b62*b186 + 3200*b62*b187 + 480*b62*b188 + 6960*
    b62*b189 + 3760*b62*b190 + 560*b62*b191 + 6560*b62*b192 + 3360*b62*b193 + 
    6880*b62*b195 + 4800*b62*b196 + 4960*b62*b197 + 4960*b62*b198 + 6640*b62*
    b199 + 7280*b62*b200 + 3348*b62*b201 + 10416*b62*b202 + 8184*b62*b203 + 
    2604*b62*b204 + 372*b62*b205 + 14322*b62*b206 + 4650*b62*b207 + 7068*b62*
    b208 + 7440*b62*b209 + 1116*b62*b210 + 16182*b62*b211 + 8742*b62*b212 + 
    1302*b62*b213 + 15252*b62*b214 + 7812*b62*b215 + 15996*b62*b217 + 11160*b62
    *b218 + 11532*b62*b219 + 11532*b62*b220 + 15438*b62*b221 + 16926*b62*b222
     + 972*b62*b223 + 3024*b62*b224 + 2376*b62*b225 + 756*b62*b226 + 108*b62*
    b227 + 4158*b62*b228 + 1350*b62*b229 + 2052*b62*b230 + 2160*b62*b231 + 324*
    b62*b232 + 4698*b62*b233 + 2538*b62*b234 + 378*b62*b235 + 4428*b62*b236 + 
    2268*b62*b237 + 4644*b62*b239 + 3240*b62*b240 + 3348*b62*b241 + 3348*b62*
    b242 + 4482*b62*b243 + 4914*b62*b244 + 3348*b62*b245 + 10416*b62*b246 + 
    8184*b62*b247 + 2604*b62*b248 + 372*b62*b249 + 14322*b62*b250 + 4650*b62*
    b251 + 7068*b62*b252 + 7440*b62*b253 + 1116*b62*b254 + 16182*b62*b255 + 
    8742*b62*b256 + 1302*b62*b257 + 15252*b62*b258 + 7812*b62*b259 + 15996*b62*
    b261 + 11160*b62*b262 + 11532*b62*b263 + 11532*b62*b264 + 15438*b62*b265 + 
    16926*b62*b266 + 3312*b62*b267 + 10304*b62*b268 + 8096*b62*b269 + 2576*b62*
    b270 + 368*b62*b271 + 14168*b62*b272 + 4600*b62*b273 + 6992*b62*b274 + 7360
    *b62*b275 + 1104*b62*b276 + 16008*b62*b277 + 8648*b62*b278 + 1288*b62*b279
     + 15088*b62*b280 + 7728*b62*b281 + 15824*b62*b283 + 11040*b62*b284 + 11408
    *b62*b285 + 11408*b62*b286 + 15272*b62*b287 + 16744*b62*b288 + 1224*b62*
    b289 + 3808*b62*b290 + 2992*b62*b291 + 952*b62*b292 + 136*b62*b293 + 5236*
    b62*b294 + 1700*b62*b295 + 2584*b62*b296 + 2720*b62*b297 + 408*b62*b298 + 
    5916*b62*b299 + 3196*b62*b300 + 476*b62*b301 + 5576*b62*b302 + 2856*b62*
    b303 + 5848*b62*b305 + 4080*b62*b306 + 4216*b62*b307 + 4216*b62*b308 + 5644
    *b62*b309 + 6188*b62*b310 + 1404*b62*b311 + 4368*b62*b312 + 3432*b62*b313
     + 1092*b62*b314 + 156*b62*b315 + 6006*b62*b316 + 1950*b62*b317 + 2964*b62*
    b318 + 3120*b62*b319 + 468*b62*b320 + 6786*b62*b321 + 3666*b62*b322 + 546*
    b62*b323 + 6396*b62*b324 + 3276*b62*b325 + 6708*b62*b327 + 4680*b62*b328 + 
    4836*b62*b329 + 4836*b62*b330 + 6474*b62*b331 + 7098*b62*b332 + 1116*b62*
    b333 + 3472*b62*b334 + 2728*b62*b335 + 868*b62*b336 + 124*b62*b337 + 4774*
    b62*b338 + 1550*b62*b339 + 2356*b62*b340 + 2480*b62*b341 + 372*b62*b342 + 
    5394*b62*b343 + 2914*b62*b344 + 434*b62*b345 + 5084*b62*b346 + 2604*b62*
    b347 + 5332*b62*b349 + 3720*b62*b350 + 3844*b62*b351 + 3844*b62*b352 + 5146
    *b62*b353 + 5642*b62*b354 + 936*b62*b355 + 2912*b62*b356 + 2288*b62*b357 + 
    728*b62*b358 + 104*b62*b359 + 4004*b62*b360 + 1300*b62*b361 + 1976*b62*b362
     + 2080*b62*b363 + 312*b62*b364 + 4524*b62*b365 + 2444*b62*b366 + 364*b62*
    b367 + 4264*b62*b368 + 2184*b62*b369 + 4472*b62*b371 + 3120*b62*b372 + 3224
    *b62*b373 + 3224*b62*b374 + 4316*b62*b375 + 4732*b62*b376 + 36*b62*b377 + 
    112*b62*b378 + 88*b62*b379 + 28*b62*b380 + 4*b62*b381 + 154*b62*b382 + 50*
    b62*b383 + 76*b62*b384 + 80*b62*b385 + 12*b62*b386 + 174*b62*b387 + 94*b62*
    b388 + 14*b62*b389 + 164*b62*b390 + 84*b62*b391 + 172*b62*b393 + 120*b62*
    b394 + 124*b62*b395 + 124*b62*b396 + 166*b62*b397 + 182*b62*b398 + 3132*b62
    *b399 + 9744*b62*b400 + 7656*b62*b401 + 2436*b62*b402 + 348*b62*b403 + 
    13398*b62*b404 + 4350*b62*b405 + 6612*b62*b406 + 6960*b62*b407 + 1044*b62*
    b408 + 15138*b62*b409 + 8178*b62*b410 + 1218*b62*b411 + 14268*b62*b412 + 
    7308*b62*b413 + 14964*b62*b415 + 10440*b62*b416 + 10788*b62*b417 + 10788*
    b62*b418 + 14442*b62*b419 + 15834*b62*b420 + 2592*b62*b421 + 8064*b62*b422
     + 6336*b62*b423 + 2016*b62*b424 + 288*b62*b425 + 11088*b62*b426 + 3600*b62
    *b427 + 5472*b62*b428 + 5760*b62*b429 + 864*b62*b430 + 12528*b62*b431 + 
    6768*b62*b432 + 1008*b62*b433 + 11808*b62*b434 + 6048*b62*b435 + 12384*b62*
    b437 + 8640*b62*b438 + 8928*b62*b439 + 8928*b62*b440 + 11952*b62*b441 + 
    13104*b62*b442 + 2124*b62*b443 + 6608*b62*b444 + 5192*b62*b445 + 1652*b62*
    b446 + 236*b62*b447 + 9086*b62*b448 + 2950*b62*b449 + 4484*b62*b450 + 4720*
    b62*b451 + 708*b62*b452 + 10266*b62*b453 + 5546*b62*b454 + 826*b62*b455 + 
    9676*b62*b456 + 4956*b62*b457 + 10148*b62*b459 + 7080*b62*b460 + 7316*b62*
    b461 + 7316*b62*b462 + 9794*b62*b463 + 10738*b62*b464 + 3492*b62*b465 + 
    10864*b62*b466 + 8536*b62*b467 + 2716*b62*b468 + 388*b62*b469 + 14938*b62*
    b470 + 4850*b62*b471 + 7372*b62*b472 + 7760*b62*b473 + 1164*b62*b474 + 
    16878*b62*b475 + 9118*b62*b476 + 1358*b62*b477 + 15908*b62*b478 + 8148*b62*
    b479 + 16684*b62*b481 + 11640*b62*b482 + 12028*b62*b483 + 12028*b62*b484 + 
    16102*b62*b485 + 17654*b62*b486 + 1656*b62*b487 + 5152*b62*b488 + 4048*b62*
    b489 + 1288*b62*b490 + 184*b62*b491 + 7084*b62*b492 + 2300*b62*b493 + 3496*
    b62*b494 + 3680*b62*b495 + 552*b62*b496 + 8004*b62*b497 + 4324*b62*b498 + 
    644*b62*b499 + 7544*b62*b500 + 3864*b62*b501 + 7912*b62*b503 + 5520*b62*
    b504 + 5704*b62*b505 + 5704*b62*b506 + 7636*b62*b507 + 8372*b62*b508 + 2232
    *b62*b509 + 6944*b62*b510 + 5456*b62*b511 + 1736*b62*b512 + 248*b62*b513 + 
    9548*b62*b514 + 3100*b62*b515 + 4712*b62*b516 + 4960*b62*b517 + 744*b62*
    b518 + 10788*b62*b519 + 5828*b62*b520 + 868*b62*b521 + 10168*b62*b522 + 
    5208*b62*b523 + 10664*b62*b525 + 7440*b62*b526 + 7688*b62*b527 + 7688*b62*
    b528 + 10292*b62*b529 + 11284*b62*b530 + 16732*b62*b531 + 18424*b62*b532 + 
    10716*b62*b533 + 356*b62*b537 + 392*b62*b538 + 228*b62*b539 + 4806*b62*b540
     + 5292*b62*b541 + 3078*b62*b542 + 14596*b62*b543 + 16072*b62*b544 + 9348*
    b62*b545 + 12638*b62*b546 + 13916*b62*b547 + 8094*b62*b548 + 12638*b62*b549
     + 13916*b62*b550 + 8094*b62*b551 + 7120*b62*b552 + 7840*b62*b553 + 4560*
    b62*b554 + 16554*b62*b555 + 18228*b62*b556 + 10602*b62*b557 + 4806*b62*b558
     + 5292*b62*b559 + 3078*b62*b560 + 16554*b62*b561 + 18228*b62*b562 + 10602*
    b62*b563 + 16376*b62*b564 + 18032*b62*b565 + 10488*b62*b566 + 6052*b62*b567
     + 6664*b62*b568 + 3876*b62*b569 + 6942*b62*b570 + 7644*b62*b571 + 4446*b62
    *b572 + 5518*b62*b573 + 6076*b62*b574 + 3534*b62*b575 + 4628*b62*b576 + 
    5096*b62*b577 + 2964*b62*b578 + 178*b62*b579 + 196*b62*b580 + 114*b62*b581
     + 15486*b62*b582 + 17052*b62*b583 + 9918*b62*b584 + 12816*b62*b585 + 14112
    *b62*b586 + 8208*b62*b587 + 10502*b62*b588 + 11564*b62*b589 + 6726*b62*b590
     + 17266*b62*b591 + 19012*b62*b592 + 11058*b62*b593 + 8188*b62*b594 + 9016*
    b62*b595 + 5244*b62*b596 + 11036*b62*b597 + 12152*b62*b598 + 7068*b62*b599
     + 6944*b62*b600 + 5456*b62*b601 + 1736*b62*b602 + 248*b62*b603 + 9548*b62*
    b604 + 3100*b62*b605 + 4712*b62*b606 + 4960*b62*b607 + 744*b62*b608 + 10788
    *b62*b609 + 5828*b62*b610 + 868*b62*b611 + 10168*b62*b612 + 5208*b62*b613
     + 12152*b62*b614 + 10664*b62*b616 + 7440*b62*b617 + 7688*b62*b618 + 7688*
    b62*b619 + 10292*b62*b620 + 11284*b62*b621 + 7068*b62*b622 + 2232*b62*b623
     + 17444*b62*b624 + 19208*b62*b625 + 11172*b62*b626 + 228*b63*b69 + 4*b63*
    b70 + 340*b63*b71 + 284*b63*b72 + 40*b63*b73 + 60*b63*b74 + 300*b63*b75 + 
    164*b63*b76 + 276*b63*b77 + 268*b63*b78 + 288*b63*b79 + 100*b63*b80 + 336*
    b63*b81 + 116*b63*b82 + 92*b63*b83 + 344*b63*b84 + 248*b63*b86 + 144*b63*
    b87 + 8*b63*b88 + 8*b63*b89 + 172*b63*b90 + 3078*b63*b91 + 54*b63*b92 + 
    4590*b63*b93 + 3834*b63*b94 + 540*b63*b95 + 810*b63*b96 + 4050*b63*b97 + 
    2214*b63*b98 + 3726*b63*b99 + 3618*b63*b100 + 3888*b63*b101 + 1350*b63*b102
     + 4536*b63*b103 + 1566*b63*b104 + 1242*b63*b105 + 4644*b63*b106 + 3348*b63
    *b108 + 1944*b63*b109 + 108*b63*b110 + 108*b63*b111 + 2322*b63*b112 + 9348*
    b63*b113 + 164*b63*b114 + 13940*b63*b115 + 11644*b63*b116 + 1640*b63*b117
     + 2460*b63*b118 + 12300*b63*b119 + 6724*b63*b120 + 11316*b63*b121 + 10988*
    b63*b122 + 11808*b63*b123 + 4100*b63*b124 + 13776*b63*b125 + 4756*b63*b126
     + 3772*b63*b127 + 14104*b63*b128 + 10168*b63*b130 + 5904*b63*b131 + 328*
    b63*b132 + 328*b63*b133 + 7052*b63*b134 + 8094*b63*b135 + 142*b63*b136 + 
    12070*b63*b137 + 10082*b63*b138 + 1420*b63*b139 + 2130*b63*b140 + 10650*b63
    *b141 + 5822*b63*b142 + 9798*b63*b143 + 9514*b63*b144 + 10224*b63*b145 + 
    3550*b63*b146 + 11928*b63*b147 + 4118*b63*b148 + 3266*b63*b149 + 12212*b63*
    b150 + 8804*b63*b152 + 5112*b63*b153 + 284*b63*b154 + 284*b63*b155 + 6106*
    b63*b156 + 8094*b63*b157 + 142*b63*b158 + 12070*b63*b159 + 10082*b63*b160
     + 1420*b63*b161 + 2130*b63*b162 + 10650*b63*b163 + 5822*b63*b164 + 9798*
    b63*b165 + 9514*b63*b166 + 10224*b63*b167 + 3550*b63*b168 + 11928*b63*b169
     + 4118*b63*b170 + 3266*b63*b171 + 12212*b63*b172 + 8804*b63*b174 + 5112*
    b63*b175 + 284*b63*b176 + 284*b63*b177 + 6106*b63*b178 + 4560*b63*b179 + 80
    *b63*b180 + 6800*b63*b181 + 5680*b63*b182 + 800*b63*b183 + 1200*b63*b184 + 
    6000*b63*b185 + 3280*b63*b186 + 5520*b63*b187 + 5360*b63*b188 + 5760*b63*
    b189 + 2000*b63*b190 + 6720*b63*b191 + 2320*b63*b192 + 1840*b63*b193 + 6880
    *b63*b194 + 4960*b63*b196 + 2880*b63*b197 + 160*b63*b198 + 160*b63*b199 + 
    3440*b63*b200 + 10602*b63*b201 + 186*b63*b202 + 15810*b63*b203 + 13206*b63*
    b204 + 1860*b63*b205 + 2790*b63*b206 + 13950*b63*b207 + 7626*b63*b208 + 
    12834*b63*b209 + 12462*b63*b210 + 13392*b63*b211 + 4650*b63*b212 + 15624*
    b63*b213 + 5394*b63*b214 + 4278*b63*b215 + 15996*b63*b216 + 11532*b63*b218
     + 6696*b63*b219 + 372*b63*b220 + 372*b63*b221 + 7998*b63*b222 + 3078*b63*
    b223 + 54*b63*b224 + 4590*b63*b225 + 3834*b63*b226 + 540*b63*b227 + 810*b63
    *b228 + 4050*b63*b229 + 2214*b63*b230 + 3726*b63*b231 + 3618*b63*b232 + 
    3888*b63*b233 + 1350*b63*b234 + 4536*b63*b235 + 1566*b63*b236 + 1242*b63*
    b237 + 4644*b63*b238 + 3348*b63*b240 + 1944*b63*b241 + 108*b63*b242 + 108*
    b63*b243 + 2322*b63*b244 + 10602*b63*b245 + 186*b63*b246 + 15810*b63*b247
     + 13206*b63*b248 + 1860*b63*b249 + 2790*b63*b250 + 13950*b63*b251 + 7626*
    b63*b252 + 12834*b63*b253 + 12462*b63*b254 + 13392*b63*b255 + 4650*b63*b256
     + 15624*b63*b257 + 5394*b63*b258 + 4278*b63*b259 + 15996*b63*b260 + 11532*
    b63*b262 + 6696*b63*b263 + 372*b63*b264 + 372*b63*b265 + 7998*b63*b266 + 
    10488*b63*b267 + 184*b63*b268 + 15640*b63*b269 + 13064*b63*b270 + 1840*b63*
    b271 + 2760*b63*b272 + 13800*b63*b273 + 7544*b63*b274 + 12696*b63*b275 + 
    12328*b63*b276 + 13248*b63*b277 + 4600*b63*b278 + 15456*b63*b279 + 5336*b63
    *b280 + 4232*b63*b281 + 15824*b63*b282 + 11408*b63*b284 + 6624*b63*b285 + 
    368*b63*b286 + 368*b63*b287 + 7912*b63*b288 + 3876*b63*b289 + 68*b63*b290
     + 5780*b63*b291 + 4828*b63*b292 + 680*b63*b293 + 1020*b63*b294 + 5100*b63*
    b295 + 2788*b63*b296 + 4692*b63*b297 + 4556*b63*b298 + 4896*b63*b299 + 1700
    *b63*b300 + 5712*b63*b301 + 1972*b63*b302 + 1564*b63*b303 + 5848*b63*b304
     + 4216*b63*b306 + 2448*b63*b307 + 136*b63*b308 + 136*b63*b309 + 2924*b63*
    b310 + 4446*b63*b311 + 78*b63*b312 + 6630*b63*b313 + 5538*b63*b314 + 780*
    b63*b315 + 1170*b63*b316 + 5850*b63*b317 + 3198*b63*b318 + 5382*b63*b319 + 
    5226*b63*b320 + 5616*b63*b321 + 1950*b63*b322 + 6552*b63*b323 + 2262*b63*
    b324 + 1794*b63*b325 + 6708*b63*b326 + 4836*b63*b328 + 2808*b63*b329 + 156*
    b63*b330 + 156*b63*b331 + 3354*b63*b332 + 3534*b63*b333 + 62*b63*b334 + 
    5270*b63*b335 + 4402*b63*b336 + 620*b63*b337 + 930*b63*b338 + 4650*b63*b339
     + 2542*b63*b340 + 4278*b63*b341 + 4154*b63*b342 + 4464*b63*b343 + 1550*b63
    *b344 + 5208*b63*b345 + 1798*b63*b346 + 1426*b63*b347 + 5332*b63*b348 + 
    3844*b63*b350 + 2232*b63*b351 + 124*b63*b352 + 124*b63*b353 + 2666*b63*b354
     + 2964*b63*b355 + 52*b63*b356 + 4420*b63*b357 + 3692*b63*b358 + 520*b63*
    b359 + 780*b63*b360 + 3900*b63*b361 + 2132*b63*b362 + 3588*b63*b363 + 3484*
    b63*b364 + 3744*b63*b365 + 1300*b63*b366 + 4368*b63*b367 + 1508*b63*b368 + 
    1196*b63*b369 + 4472*b63*b370 + 3224*b63*b372 + 1872*b63*b373 + 104*b63*
    b374 + 104*b63*b375 + 2236*b63*b376 + 114*b63*b377 + 2*b63*b378 + 170*b63*
    b379 + 142*b63*b380 + 20*b63*b381 + 30*b63*b382 + 150*b63*b383 + 82*b63*
    b384 + 138*b63*b385 + 134*b63*b386 + 144*b63*b387 + 50*b63*b388 + 168*b63*
    b389 + 58*b63*b390 + 46*b63*b391 + 172*b63*b392 + 124*b63*b394 + 72*b63*
    b395 + 4*b63*b396 + 4*b63*b397 + 86*b63*b398 + 9918*b63*b399 + 174*b63*b400
     + 14790*b63*b401 + 12354*b63*b402 + 1740*b63*b403 + 2610*b63*b404 + 13050*
    b63*b405 + 7134*b63*b406 + 12006*b63*b407 + 11658*b63*b408 + 12528*b63*b409
     + 4350*b63*b410 + 14616*b63*b411 + 5046*b63*b412 + 4002*b63*b413 + 14964*
    b63*b414 + 10788*b63*b416 + 6264*b63*b417 + 348*b63*b418 + 348*b63*b419 + 
    7482*b63*b420 + 8208*b63*b421 + 144*b63*b422 + 12240*b63*b423 + 10224*b63*
    b424 + 1440*b63*b425 + 2160*b63*b426 + 10800*b63*b427 + 5904*b63*b428 + 
    9936*b63*b429 + 9648*b63*b430 + 10368*b63*b431 + 3600*b63*b432 + 12096*b63*
    b433 + 4176*b63*b434 + 3312*b63*b435 + 12384*b63*b436 + 8928*b63*b438 + 
    5184*b63*b439 + 288*b63*b440 + 288*b63*b441 + 6192*b63*b442 + 6726*b63*b443
     + 118*b63*b444 + 10030*b63*b445 + 8378*b63*b446 + 1180*b63*b447 + 1770*b63
    *b448 + 8850*b63*b449 + 4838*b63*b450 + 8142*b63*b451 + 7906*b63*b452 + 
    8496*b63*b453 + 2950*b63*b454 + 9912*b63*b455 + 3422*b63*b456 + 2714*b63*
    b457 + 10148*b63*b458 + 7316*b63*b460 + 4248*b63*b461 + 236*b63*b462 + 236*
    b63*b463 + 5074*b63*b464 + 11058*b63*b465 + 194*b63*b466 + 16490*b63*b467
     + 13774*b63*b468 + 1940*b63*b469 + 2910*b63*b470 + 14550*b63*b471 + 7954*
    b63*b472 + 13386*b63*b473 + 12998*b63*b474 + 13968*b63*b475 + 4850*b63*b476
     + 16296*b63*b477 + 5626*b63*b478 + 4462*b63*b479 + 16684*b63*b480 + 12028*
    b63*b482 + 6984*b63*b483 + 388*b63*b484 + 388*b63*b485 + 8342*b63*b486 + 
    5244*b63*b487 + 92*b63*b488 + 7820*b63*b489 + 6532*b63*b490 + 920*b63*b491
     + 1380*b63*b492 + 6900*b63*b493 + 3772*b63*b494 + 6348*b63*b495 + 6164*b63
    *b496 + 6624*b63*b497 + 2300*b63*b498 + 7728*b63*b499 + 2668*b63*b500 + 
    2116*b63*b501 + 7912*b63*b502 + 5704*b63*b504 + 3312*b63*b505 + 184*b63*
    b506 + 184*b63*b507 + 3956*b63*b508 + 7068*b63*b509 + 124*b63*b510 + 10540*
    b63*b511 + 8804*b63*b512 + 1240*b63*b513 + 1860*b63*b514 + 9300*b63*b515 + 
    5084*b63*b516 + 8556*b63*b517 + 8308*b63*b518 + 8928*b63*b519 + 3100*b63*
    b520 + 10416*b63*b521 + 3596*b63*b522 + 2852*b63*b523 + 10664*b63*b524 + 
    7688*b63*b526 + 4464*b63*b527 + 248*b63*b528 + 248*b63*b529 + 5332*b63*b530
     + 6580*b63*b531 + 6580*b63*b532 + 12220*b63*b533 + 140*b63*b537 + 140*b63*
    b538 + 260*b63*b539 + 1890*b63*b540 + 1890*b63*b541 + 3510*b63*b542 + 5740*
    b63*b543 + 5740*b63*b544 + 10660*b63*b545 + 4970*b63*b546 + 4970*b63*b547
     + 9230*b63*b548 + 4970*b63*b549 + 4970*b63*b550 + 9230*b63*b551 + 2800*b63
    *b552 + 2800*b63*b553 + 5200*b63*b554 + 6510*b63*b555 + 6510*b63*b556 + 
    12090*b63*b557 + 1890*b63*b558 + 1890*b63*b559 + 3510*b63*b560 + 6510*b63*
    b561 + 6510*b63*b562 + 12090*b63*b563 + 6440*b63*b564 + 6440*b63*b565 + 
    11960*b63*b566 + 2380*b63*b567 + 2380*b63*b568 + 4420*b63*b569 + 2730*b63*
    b570 + 2730*b63*b571 + 5070*b63*b572 + 2170*b63*b573 + 2170*b63*b574 + 4030
    *b63*b575 + 1820*b63*b576 + 1820*b63*b577 + 3380*b63*b578 + 70*b63*b579 + 
    70*b63*b580 + 130*b63*b581 + 6090*b63*b582 + 6090*b63*b583 + 11310*b63*b584
     + 5040*b63*b585 + 5040*b63*b586 + 9360*b63*b587 + 4130*b63*b588 + 4130*b63
    *b589 + 7670*b63*b590 + 6790*b63*b591 + 6790*b63*b592 + 12610*b63*b593 + 
    3220*b63*b594 + 3220*b63*b595 + 5980*b63*b596 + 4340*b63*b597 + 4340*b63*
    b598 + 8060*b63*b599 + 124*b63*b600 + 10540*b63*b601 + 8804*b63*b602 + 1240
    *b63*b603 + 1860*b63*b604 + 9300*b63*b605 + 5084*b63*b606 + 8556*b63*b607
     + 8308*b63*b608 + 8928*b63*b609 + 3100*b63*b610 + 10416*b63*b611 + 3596*
    b63*b612 + 2852*b63*b613 + 4340*b63*b614 + 10664*b63*b615 + 7688*b63*b617
     + 4464*b63*b618 + 248*b63*b619 + 248*b63*b620 + 5332*b63*b621 + 8060*b63*
    b622 + 7068*b63*b623 + 6860*b63*b624 + 6860*b63*b625 + 12740*b63*b626 + 144
    *b64*b69 + 200*b64*b70 + 376*b64*b71 + 308*b64*b72 + 396*b64*b73 + 356*b64*
    b74 + 304*b64*b75 + 224*b64*b76 + 48*b64*b77 + 104*b64*b78 + 180*b64*b79 + 
    120*b64*b80 + 24*b64*b81 + 12*b64*b82 + 248*b64*b83 + 240*b64*b84 + 248*b64
    *b85 + 148*b64*b87 + 196*b64*b88 + 244*b64*b89 + 20*b64*b90 + 1944*b64*b91
     + 2700*b64*b92 + 5076*b64*b93 + 4158*b64*b94 + 5346*b64*b95 + 4806*b64*b96
     + 4104*b64*b97 + 3024*b64*b98 + 648*b64*b99 + 1404*b64*b100 + 2430*b64*
    b101 + 1620*b64*b102 + 324*b64*b103 + 162*b64*b104 + 3348*b64*b105 + 3240*
    b64*b106 + 3348*b64*b107 + 1998*b64*b109 + 2646*b64*b110 + 3294*b64*b111 + 
    270*b64*b112 + 5904*b64*b113 + 8200*b64*b114 + 15416*b64*b115 + 12628*b64*
    b116 + 16236*b64*b117 + 14596*b64*b118 + 12464*b64*b119 + 9184*b64*b120 + 
    1968*b64*b121 + 4264*b64*b122 + 7380*b64*b123 + 4920*b64*b124 + 984*b64*
    b125 + 492*b64*b126 + 10168*b64*b127 + 9840*b64*b128 + 10168*b64*b129 + 
    6068*b64*b131 + 8036*b64*b132 + 10004*b64*b133 + 820*b64*b134 + 5112*b64*
    b135 + 7100*b64*b136 + 13348*b64*b137 + 10934*b64*b138 + 14058*b64*b139 + 
    12638*b64*b140 + 10792*b64*b141 + 7952*b64*b142 + 1704*b64*b143 + 3692*b64*
    b144 + 6390*b64*b145 + 4260*b64*b146 + 852*b64*b147 + 426*b64*b148 + 8804*
    b64*b149 + 8520*b64*b150 + 8804*b64*b151 + 5254*b64*b153 + 6958*b64*b154 + 
    8662*b64*b155 + 710*b64*b156 + 5112*b64*b157 + 7100*b64*b158 + 13348*b64*
    b159 + 10934*b64*b160 + 14058*b64*b161 + 12638*b64*b162 + 10792*b64*b163 + 
    7952*b64*b164 + 1704*b64*b165 + 3692*b64*b166 + 6390*b64*b167 + 4260*b64*
    b168 + 852*b64*b169 + 426*b64*b170 + 8804*b64*b171 + 8520*b64*b172 + 8804*
    b64*b173 + 5254*b64*b175 + 6958*b64*b176 + 8662*b64*b177 + 710*b64*b178 + 
    2880*b64*b179 + 4000*b64*b180 + 7520*b64*b181 + 6160*b64*b182 + 7920*b64*
    b183 + 7120*b64*b184 + 6080*b64*b185 + 4480*b64*b186 + 960*b64*b187 + 2080*
    b64*b188 + 3600*b64*b189 + 2400*b64*b190 + 480*b64*b191 + 240*b64*b192 + 
    4960*b64*b193 + 4800*b64*b194 + 4960*b64*b195 + 2960*b64*b197 + 3920*b64*
    b198 + 4880*b64*b199 + 400*b64*b200 + 6696*b64*b201 + 9300*b64*b202 + 17484
    *b64*b203 + 14322*b64*b204 + 18414*b64*b205 + 16554*b64*b206 + 14136*b64*
    b207 + 10416*b64*b208 + 2232*b64*b209 + 4836*b64*b210 + 8370*b64*b211 + 
    5580*b64*b212 + 1116*b64*b213 + 558*b64*b214 + 11532*b64*b215 + 11160*b64*
    b216 + 11532*b64*b217 + 6882*b64*b219 + 9114*b64*b220 + 11346*b64*b221 + 
    930*b64*b222 + 1944*b64*b223 + 2700*b64*b224 + 5076*b64*b225 + 4158*b64*
    b226 + 5346*b64*b227 + 4806*b64*b228 + 4104*b64*b229 + 3024*b64*b230 + 648*
    b64*b231 + 1404*b64*b232 + 2430*b64*b233 + 1620*b64*b234 + 324*b64*b235 + 
    162*b64*b236 + 3348*b64*b237 + 3240*b64*b238 + 3348*b64*b239 + 1998*b64*
    b241 + 2646*b64*b242 + 3294*b64*b243 + 270*b64*b244 + 6696*b64*b245 + 9300*
    b64*b246 + 17484*b64*b247 + 14322*b64*b248 + 18414*b64*b249 + 16554*b64*
    b250 + 14136*b64*b251 + 10416*b64*b252 + 2232*b64*b253 + 4836*b64*b254 + 
    8370*b64*b255 + 5580*b64*b256 + 1116*b64*b257 + 558*b64*b258 + 11532*b64*
    b259 + 11160*b64*b260 + 11532*b64*b261 + 6882*b64*b263 + 9114*b64*b264 + 
    11346*b64*b265 + 930*b64*b266 + 6624*b64*b267 + 9200*b64*b268 + 17296*b64*
    b269 + 14168*b64*b270 + 18216*b64*b271 + 16376*b64*b272 + 13984*b64*b273 + 
    10304*b64*b274 + 2208*b64*b275 + 4784*b64*b276 + 8280*b64*b277 + 5520*b64*
    b278 + 1104*b64*b279 + 552*b64*b280 + 11408*b64*b281 + 11040*b64*b282 + 
    11408*b64*b283 + 6808*b64*b285 + 9016*b64*b286 + 11224*b64*b287 + 920*b64*
    b288 + 2448*b64*b289 + 3400*b64*b290 + 6392*b64*b291 + 5236*b64*b292 + 6732
    *b64*b293 + 6052*b64*b294 + 5168*b64*b295 + 3808*b64*b296 + 816*b64*b297 + 
    1768*b64*b298 + 3060*b64*b299 + 2040*b64*b300 + 408*b64*b301 + 204*b64*b302
     + 4216*b64*b303 + 4080*b64*b304 + 4216*b64*b305 + 2516*b64*b307 + 3332*b64
    *b308 + 4148*b64*b309 + 340*b64*b310 + 2808*b64*b311 + 3900*b64*b312 + 7332
    *b64*b313 + 6006*b64*b314 + 7722*b64*b315 + 6942*b64*b316 + 5928*b64*b317
     + 4368*b64*b318 + 936*b64*b319 + 2028*b64*b320 + 3510*b64*b321 + 2340*b64*
    b322 + 468*b64*b323 + 234*b64*b324 + 4836*b64*b325 + 4680*b64*b326 + 4836*
    b64*b327 + 2886*b64*b329 + 3822*b64*b330 + 4758*b64*b331 + 390*b64*b332 + 
    2232*b64*b333 + 3100*b64*b334 + 5828*b64*b335 + 4774*b64*b336 + 6138*b64*
    b337 + 5518*b64*b338 + 4712*b64*b339 + 3472*b64*b340 + 744*b64*b341 + 1612*
    b64*b342 + 2790*b64*b343 + 1860*b64*b344 + 372*b64*b345 + 186*b64*b346 + 
    3844*b64*b347 + 3720*b64*b348 + 3844*b64*b349 + 2294*b64*b351 + 3038*b64*
    b352 + 3782*b64*b353 + 310*b64*b354 + 1872*b64*b355 + 2600*b64*b356 + 4888*
    b64*b357 + 4004*b64*b358 + 5148*b64*b359 + 4628*b64*b360 + 3952*b64*b361 + 
    2912*b64*b362 + 624*b64*b363 + 1352*b64*b364 + 2340*b64*b365 + 1560*b64*
    b366 + 312*b64*b367 + 156*b64*b368 + 3224*b64*b369 + 3120*b64*b370 + 3224*
    b64*b371 + 1924*b64*b373 + 2548*b64*b374 + 3172*b64*b375 + 260*b64*b376 + 
    72*b64*b377 + 100*b64*b378 + 188*b64*b379 + 154*b64*b380 + 198*b64*b381 + 
    178*b64*b382 + 152*b64*b383 + 112*b64*b384 + 24*b64*b385 + 52*b64*b386 + 90
    *b64*b387 + 60*b64*b388 + 12*b64*b389 + 6*b64*b390 + 124*b64*b391 + 120*b64
    *b392 + 124*b64*b393 + 74*b64*b395 + 98*b64*b396 + 122*b64*b397 + 10*b64*
    b398 + 6264*b64*b399 + 8700*b64*b400 + 16356*b64*b401 + 13398*b64*b402 + 
    17226*b64*b403 + 15486*b64*b404 + 13224*b64*b405 + 9744*b64*b406 + 2088*b64
    *b407 + 4524*b64*b408 + 7830*b64*b409 + 5220*b64*b410 + 1044*b64*b411 + 522
    *b64*b412 + 10788*b64*b413 + 10440*b64*b414 + 10788*b64*b415 + 6438*b64*
    b417 + 8526*b64*b418 + 10614*b64*b419 + 870*b64*b420 + 5184*b64*b421 + 7200
    *b64*b422 + 13536*b64*b423 + 11088*b64*b424 + 14256*b64*b425 + 12816*b64*
    b426 + 10944*b64*b427 + 8064*b64*b428 + 1728*b64*b429 + 3744*b64*b430 + 
    6480*b64*b431 + 4320*b64*b432 + 864*b64*b433 + 432*b64*b434 + 8928*b64*b435
     + 8640*b64*b436 + 8928*b64*b437 + 5328*b64*b439 + 7056*b64*b440 + 8784*b64
    *b441 + 720*b64*b442 + 4248*b64*b443 + 5900*b64*b444 + 11092*b64*b445 + 
    9086*b64*b446 + 11682*b64*b447 + 10502*b64*b448 + 8968*b64*b449 + 6608*b64*
    b450 + 1416*b64*b451 + 3068*b64*b452 + 5310*b64*b453 + 3540*b64*b454 + 708*
    b64*b455 + 354*b64*b456 + 7316*b64*b457 + 7080*b64*b458 + 7316*b64*b459 + 
    4366*b64*b461 + 5782*b64*b462 + 7198*b64*b463 + 590*b64*b464 + 6984*b64*
    b465 + 9700*b64*b466 + 18236*b64*b467 + 14938*b64*b468 + 19206*b64*b469 + 
    17266*b64*b470 + 14744*b64*b471 + 10864*b64*b472 + 2328*b64*b473 + 5044*b64
    *b474 + 8730*b64*b475 + 5820*b64*b476 + 1164*b64*b477 + 582*b64*b478 + 
    12028*b64*b479 + 11640*b64*b480 + 12028*b64*b481 + 7178*b64*b483 + 9506*b64
    *b484 + 11834*b64*b485 + 970*b64*b486 + 3312*b64*b487 + 4600*b64*b488 + 
    8648*b64*b489 + 7084*b64*b490 + 9108*b64*b491 + 8188*b64*b492 + 6992*b64*
    b493 + 5152*b64*b494 + 1104*b64*b495 + 2392*b64*b496 + 4140*b64*b497 + 2760
    *b64*b498 + 552*b64*b499 + 276*b64*b500 + 5704*b64*b501 + 5520*b64*b502 + 
    5704*b64*b503 + 3404*b64*b505 + 4508*b64*b506 + 5612*b64*b507 + 460*b64*
    b508 + 4464*b64*b509 + 6200*b64*b510 + 11656*b64*b511 + 9548*b64*b512 + 
    12276*b64*b513 + 11036*b64*b514 + 9424*b64*b515 + 6944*b64*b516 + 1488*b64*
    b517 + 3224*b64*b518 + 5580*b64*b519 + 3720*b64*b520 + 744*b64*b521 + 372*
    b64*b522 + 7688*b64*b523 + 7440*b64*b524 + 7688*b64*b525 + 4588*b64*b527 + 
    6076*b64*b528 + 7564*b64*b529 + 620*b64*b530 + 1692*b64*b531 + 2820*b64*
    b532 + 6392*b64*b533 + 36*b64*b537 + 60*b64*b538 + 136*b64*b539 + 486*b64*
    b540 + 810*b64*b541 + 1836*b64*b542 + 1476*b64*b543 + 2460*b64*b544 + 5576*
    b64*b545 + 1278*b64*b546 + 2130*b64*b547 + 4828*b64*b548 + 1278*b64*b549 + 
    2130*b64*b550 + 4828*b64*b551 + 720*b64*b552 + 1200*b64*b553 + 2720*b64*
    b554 + 1674*b64*b555 + 2790*b64*b556 + 6324*b64*b557 + 486*b64*b558 + 810*
    b64*b559 + 1836*b64*b560 + 1674*b64*b561 + 2790*b64*b562 + 6324*b64*b563 + 
    1656*b64*b564 + 2760*b64*b565 + 6256*b64*b566 + 612*b64*b567 + 1020*b64*
    b568 + 2312*b64*b569 + 702*b64*b570 + 1170*b64*b571 + 2652*b64*b572 + 558*
    b64*b573 + 930*b64*b574 + 2108*b64*b575 + 468*b64*b576 + 780*b64*b577 + 
    1768*b64*b578 + 18*b64*b579 + 30*b64*b580 + 68*b64*b581 + 1566*b64*b582 + 
    2610*b64*b583 + 5916*b64*b584 + 1296*b64*b585 + 2160*b64*b586 + 4896*b64*
    b587 + 1062*b64*b588 + 1770*b64*b589 + 4012*b64*b590 + 1746*b64*b591 + 2910
    *b64*b592 + 6596*b64*b593 + 828*b64*b594 + 1380*b64*b595 + 3128*b64*b596 + 
    1116*b64*b597 + 1860*b64*b598 + 4216*b64*b599 + 6200*b64*b600 + 11656*b64*
    b601 + 9548*b64*b602 + 12276*b64*b603 + 11036*b64*b604 + 9424*b64*b605 + 
    6944*b64*b606 + 1488*b64*b607 + 3224*b64*b608 + 5580*b64*b609 + 3720*b64*
    b610 + 744*b64*b611 + 372*b64*b612 + 7688*b64*b613 + 1860*b64*b614 + 7440*
    b64*b615 + 7688*b64*b616 + 4588*b64*b618 + 6076*b64*b619 + 7564*b64*b620 + 
    620*b64*b621 + 4216*b64*b622 + 4464*b64*b623 + 1764*b64*b624 + 2940*b64*
    b625 + 6664*b64*b626 + 244*b65*b69 + 16*b65*b70 + 360*b65*b71 + 144*b65*b72
     + 224*b65*b73 + 192*b65*b74 + 160*b65*b75 + 156*b65*b76 + 340*b65*b77 + 
    328*b65*b78 + 384*b65*b79 + 172*b65*b80 + 12*b65*b82 + 248*b65*b83 + 248*
    b65*b84 + 144*b65*b85 + 148*b65*b86 + 212*b65*b88 + 384*b65*b89 + 328*b65*
    b90 + 3294*b65*b91 + 216*b65*b92 + 4860*b65*b93 + 1944*b65*b94 + 3024*b65*
    b95 + 2592*b65*b96 + 2160*b65*b97 + 2106*b65*b98 + 4590*b65*b99 + 4428*b65*
    b100 + 5184*b65*b101 + 2322*b65*b102 + 162*b65*b104 + 3348*b65*b105 + 3348*
    b65*b106 + 1944*b65*b107 + 1998*b65*b108 + 2862*b65*b110 + 5184*b65*b111 + 
    4428*b65*b112 + 10004*b65*b113 + 656*b65*b114 + 14760*b65*b115 + 5904*b65*
    b116 + 9184*b65*b117 + 7872*b65*b118 + 6560*b65*b119 + 6396*b65*b120 + 
    13940*b65*b121 + 13448*b65*b122 + 15744*b65*b123 + 7052*b65*b124 + 492*b65*
    b126 + 10168*b65*b127 + 10168*b65*b128 + 5904*b65*b129 + 6068*b65*b130 + 
    8692*b65*b132 + 15744*b65*b133 + 13448*b65*b134 + 8662*b65*b135 + 568*b65*
    b136 + 12780*b65*b137 + 5112*b65*b138 + 7952*b65*b139 + 6816*b65*b140 + 
    5680*b65*b141 + 5538*b65*b142 + 12070*b65*b143 + 11644*b65*b144 + 13632*b65
    *b145 + 6106*b65*b146 + 426*b65*b148 + 8804*b65*b149 + 8804*b65*b150 + 5112
    *b65*b151 + 5254*b65*b152 + 7526*b65*b154 + 13632*b65*b155 + 11644*b65*b156
     + 8662*b65*b157 + 568*b65*b158 + 12780*b65*b159 + 5112*b65*b160 + 7952*b65
    *b161 + 6816*b65*b162 + 5680*b65*b163 + 5538*b65*b164 + 12070*b65*b165 + 
    11644*b65*b166 + 13632*b65*b167 + 6106*b65*b168 + 426*b65*b170 + 8804*b65*
    b171 + 8804*b65*b172 + 5112*b65*b173 + 5254*b65*b174 + 7526*b65*b176 + 
    13632*b65*b177 + 11644*b65*b178 + 4880*b65*b179 + 320*b65*b180 + 7200*b65*
    b181 + 2880*b65*b182 + 4480*b65*b183 + 3840*b65*b184 + 3200*b65*b185 + 3120
    *b65*b186 + 6800*b65*b187 + 6560*b65*b188 + 7680*b65*b189 + 3440*b65*b190
     + 240*b65*b192 + 4960*b65*b193 + 4960*b65*b194 + 2880*b65*b195 + 2960*b65*
    b196 + 4240*b65*b198 + 7680*b65*b199 + 6560*b65*b200 + 11346*b65*b201 + 744
    *b65*b202 + 16740*b65*b203 + 6696*b65*b204 + 10416*b65*b205 + 8928*b65*b206
     + 7440*b65*b207 + 7254*b65*b208 + 15810*b65*b209 + 15252*b65*b210 + 17856*
    b65*b211 + 7998*b65*b212 + 558*b65*b214 + 11532*b65*b215 + 11532*b65*b216
     + 6696*b65*b217 + 6882*b65*b218 + 9858*b65*b220 + 17856*b65*b221 + 15252*
    b65*b222 + 3294*b65*b223 + 216*b65*b224 + 4860*b65*b225 + 1944*b65*b226 + 
    3024*b65*b227 + 2592*b65*b228 + 2160*b65*b229 + 2106*b65*b230 + 4590*b65*
    b231 + 4428*b65*b232 + 5184*b65*b233 + 2322*b65*b234 + 162*b65*b236 + 3348*
    b65*b237 + 3348*b65*b238 + 1944*b65*b239 + 1998*b65*b240 + 2862*b65*b242 + 
    5184*b65*b243 + 4428*b65*b244 + 11346*b65*b245 + 744*b65*b246 + 16740*b65*
    b247 + 6696*b65*b248 + 10416*b65*b249 + 8928*b65*b250 + 7440*b65*b251 + 
    7254*b65*b252 + 15810*b65*b253 + 15252*b65*b254 + 17856*b65*b255 + 7998*b65
    *b256 + 558*b65*b258 + 11532*b65*b259 + 11532*b65*b260 + 6696*b65*b261 + 
    6882*b65*b262 + 9858*b65*b264 + 17856*b65*b265 + 15252*b65*b266 + 11224*b65
    *b267 + 736*b65*b268 + 16560*b65*b269 + 6624*b65*b270 + 10304*b65*b271 + 
    8832*b65*b272 + 7360*b65*b273 + 7176*b65*b274 + 15640*b65*b275 + 15088*b65*
    b276 + 17664*b65*b277 + 7912*b65*b278 + 552*b65*b280 + 11408*b65*b281 + 
    11408*b65*b282 + 6624*b65*b283 + 6808*b65*b284 + 9752*b65*b286 + 17664*b65*
    b287 + 15088*b65*b288 + 4148*b65*b289 + 272*b65*b290 + 6120*b65*b291 + 2448
    *b65*b292 + 3808*b65*b293 + 3264*b65*b294 + 2720*b65*b295 + 2652*b65*b296
     + 5780*b65*b297 + 5576*b65*b298 + 6528*b65*b299 + 2924*b65*b300 + 204*b65*
    b302 + 4216*b65*b303 + 4216*b65*b304 + 2448*b65*b305 + 2516*b65*b306 + 3604
    *b65*b308 + 6528*b65*b309 + 5576*b65*b310 + 4758*b65*b311 + 312*b65*b312 + 
    7020*b65*b313 + 2808*b65*b314 + 4368*b65*b315 + 3744*b65*b316 + 3120*b65*
    b317 + 3042*b65*b318 + 6630*b65*b319 + 6396*b65*b320 + 7488*b65*b321 + 3354
    *b65*b322 + 234*b65*b324 + 4836*b65*b325 + 4836*b65*b326 + 2808*b65*b327 + 
    2886*b65*b328 + 4134*b65*b330 + 7488*b65*b331 + 6396*b65*b332 + 3782*b65*
    b333 + 248*b65*b334 + 5580*b65*b335 + 2232*b65*b336 + 3472*b65*b337 + 2976*
    b65*b338 + 2480*b65*b339 + 2418*b65*b340 + 5270*b65*b341 + 5084*b65*b342 + 
    5952*b65*b343 + 2666*b65*b344 + 186*b65*b346 + 3844*b65*b347 + 3844*b65*
    b348 + 2232*b65*b349 + 2294*b65*b350 + 3286*b65*b352 + 5952*b65*b353 + 5084
    *b65*b354 + 3172*b65*b355 + 208*b65*b356 + 4680*b65*b357 + 1872*b65*b358 + 
    2912*b65*b359 + 2496*b65*b360 + 2080*b65*b361 + 2028*b65*b362 + 4420*b65*
    b363 + 4264*b65*b364 + 4992*b65*b365 + 2236*b65*b366 + 156*b65*b368 + 3224*
    b65*b369 + 3224*b65*b370 + 1872*b65*b371 + 1924*b65*b372 + 2756*b65*b374 + 
    4992*b65*b375 + 4264*b65*b376 + 122*b65*b377 + 8*b65*b378 + 180*b65*b379 + 
    72*b65*b380 + 112*b65*b381 + 96*b65*b382 + 80*b65*b383 + 78*b65*b384 + 170*
    b65*b385 + 164*b65*b386 + 192*b65*b387 + 86*b65*b388 + 6*b65*b390 + 124*b65
    *b391 + 124*b65*b392 + 72*b65*b393 + 74*b65*b394 + 106*b65*b396 + 192*b65*
    b397 + 164*b65*b398 + 10614*b65*b399 + 696*b65*b400 + 15660*b65*b401 + 6264
    *b65*b402 + 9744*b65*b403 + 8352*b65*b404 + 6960*b65*b405 + 6786*b65*b406
     + 14790*b65*b407 + 14268*b65*b408 + 16704*b65*b409 + 7482*b65*b410 + 522*
    b65*b412 + 10788*b65*b413 + 10788*b65*b414 + 6264*b65*b415 + 6438*b65*b416
     + 9222*b65*b418 + 16704*b65*b419 + 14268*b65*b420 + 8784*b65*b421 + 576*
    b65*b422 + 12960*b65*b423 + 5184*b65*b424 + 8064*b65*b425 + 6912*b65*b426
     + 5760*b65*b427 + 5616*b65*b428 + 12240*b65*b429 + 11808*b65*b430 + 13824*
    b65*b431 + 6192*b65*b432 + 432*b65*b434 + 8928*b65*b435 + 8928*b65*b436 + 
    5184*b65*b437 + 5328*b65*b438 + 7632*b65*b440 + 13824*b65*b441 + 11808*b65*
    b442 + 7198*b65*b443 + 472*b65*b444 + 10620*b65*b445 + 4248*b65*b446 + 6608
    *b65*b447 + 5664*b65*b448 + 4720*b65*b449 + 4602*b65*b450 + 10030*b65*b451
     + 9676*b65*b452 + 11328*b65*b453 + 5074*b65*b454 + 354*b65*b456 + 7316*b65
    *b457 + 7316*b65*b458 + 4248*b65*b459 + 4366*b65*b460 + 6254*b65*b462 + 
    11328*b65*b463 + 9676*b65*b464 + 11834*b65*b465 + 776*b65*b466 + 17460*b65*
    b467 + 6984*b65*b468 + 10864*b65*b469 + 9312*b65*b470 + 7760*b65*b471 + 
    7566*b65*b472 + 16490*b65*b473 + 15908*b65*b474 + 18624*b65*b475 + 8342*b65
    *b476 + 582*b65*b478 + 12028*b65*b479 + 12028*b65*b480 + 6984*b65*b481 + 
    7178*b65*b482 + 10282*b65*b484 + 18624*b65*b485 + 15908*b65*b486 + 5612*b65
    *b487 + 368*b65*b488 + 8280*b65*b489 + 3312*b65*b490 + 5152*b65*b491 + 4416
    *b65*b492 + 3680*b65*b493 + 3588*b65*b494 + 7820*b65*b495 + 7544*b65*b496
     + 8832*b65*b497 + 3956*b65*b498 + 276*b65*b500 + 5704*b65*b501 + 5704*b65*
    b502 + 3312*b65*b503 + 3404*b65*b504 + 4876*b65*b506 + 8832*b65*b507 + 7544
    *b65*b508 + 7564*b65*b509 + 496*b65*b510 + 11160*b65*b511 + 4464*b65*b512
     + 6944*b65*b513 + 5952*b65*b514 + 4960*b65*b515 + 4836*b65*b516 + 10540*
    b65*b517 + 10168*b65*b518 + 11904*b65*b519 + 5332*b65*b520 + 372*b65*b522
     + 7688*b65*b523 + 7688*b65*b524 + 4464*b65*b525 + 4588*b65*b526 + 6572*b65
    *b528 + 11904*b65*b529 + 10168*b65*b530 + 188*b65*b531 + 3196*b65*b532 + 
    9024*b65*b533 + 4*b65*b537 + 68*b65*b538 + 192*b65*b539 + 54*b65*b540 + 918
    *b65*b541 + 2592*b65*b542 + 164*b65*b543 + 2788*b65*b544 + 7872*b65*b545 + 
    142*b65*b546 + 2414*b65*b547 + 6816*b65*b548 + 142*b65*b549 + 2414*b65*b550
     + 6816*b65*b551 + 80*b65*b552 + 1360*b65*b553 + 3840*b65*b554 + 186*b65*
    b555 + 3162*b65*b556 + 8928*b65*b557 + 54*b65*b558 + 918*b65*b559 + 2592*
    b65*b560 + 186*b65*b561 + 3162*b65*b562 + 8928*b65*b563 + 184*b65*b564 + 
    3128*b65*b565 + 8832*b65*b566 + 68*b65*b567 + 1156*b65*b568 + 3264*b65*b569
     + 78*b65*b570 + 1326*b65*b571 + 3744*b65*b572 + 62*b65*b573 + 1054*b65*
    b574 + 2976*b65*b575 + 52*b65*b576 + 884*b65*b577 + 2496*b65*b578 + 2*b65*
    b579 + 34*b65*b580 + 96*b65*b581 + 174*b65*b582 + 2958*b65*b583 + 8352*b65*
    b584 + 144*b65*b585 + 2448*b65*b586 + 6912*b65*b587 + 118*b65*b588 + 2006*
    b65*b589 + 5664*b65*b590 + 194*b65*b591 + 3298*b65*b592 + 9312*b65*b593 + 
    92*b65*b594 + 1564*b65*b595 + 4416*b65*b596 + 124*b65*b597 + 2108*b65*b598
     + 5952*b65*b599 + 496*b65*b600 + 11160*b65*b601 + 4464*b65*b602 + 6944*b65
    *b603 + 5952*b65*b604 + 4960*b65*b605 + 4836*b65*b606 + 10540*b65*b607 + 
    10168*b65*b608 + 11904*b65*b609 + 5332*b65*b610 + 372*b65*b612 + 7688*b65*
    b613 + 2108*b65*b614 + 7688*b65*b615 + 4464*b65*b616 + 4588*b65*b617 + 6572
    *b65*b619 + 11904*b65*b620 + 10168*b65*b621 + 5952*b65*b622 + 7564*b65*b623
     + 196*b65*b624 + 3332*b65*b625 + 9408*b65*b626 + 144*b66*b69 + 144*b66*b70
     + 204*b66*b71 + 212*b66*b72 + 280*b66*b73 + 56*b66*b74 + 264*b66*b75 + 212
    *b66*b76 + 288*b66*b77 + 176*b66*b78 + 28*b66*b79 + 388*b66*b80 + 204*b66*
    b82 + 112*b66*b83 + 248*b66*b84 + 8*b66*b85 + 196*b66*b86 + 212*b66*b87 + 
    112*b66*b89 + 124*b66*b90 + 1944*b66*b91 + 1944*b66*b92 + 2754*b66*b93 + 
    2862*b66*b94 + 3780*b66*b95 + 756*b66*b96 + 3564*b66*b97 + 2862*b66*b98 + 
    3888*b66*b99 + 2376*b66*b100 + 378*b66*b101 + 5238*b66*b102 + 2754*b66*b104
     + 1512*b66*b105 + 3348*b66*b106 + 108*b66*b107 + 2646*b66*b108 + 2862*b66*
    b109 + 1512*b66*b111 + 1674*b66*b112 + 5904*b66*b113 + 5904*b66*b114 + 8364
    *b66*b115 + 8692*b66*b116 + 11480*b66*b117 + 2296*b66*b118 + 10824*b66*b119
     + 8692*b66*b120 + 11808*b66*b121 + 7216*b66*b122 + 1148*b66*b123 + 15908*
    b66*b124 + 8364*b66*b126 + 4592*b66*b127 + 10168*b66*b128 + 328*b66*b129 + 
    8036*b66*b130 + 8692*b66*b131 + 4592*b66*b133 + 5084*b66*b134 + 5112*b66*
    b135 + 5112*b66*b136 + 7242*b66*b137 + 7526*b66*b138 + 9940*b66*b139 + 1988
    *b66*b140 + 9372*b66*b141 + 7526*b66*b142 + 10224*b66*b143 + 6248*b66*b144
     + 994*b66*b145 + 13774*b66*b146 + 7242*b66*b148 + 3976*b66*b149 + 8804*b66
    *b150 + 284*b66*b151 + 6958*b66*b152 + 7526*b66*b153 + 3976*b66*b155 + 4402
    *b66*b156 + 5112*b66*b157 + 5112*b66*b158 + 7242*b66*b159 + 7526*b66*b160
     + 9940*b66*b161 + 1988*b66*b162 + 9372*b66*b163 + 7526*b66*b164 + 10224*
    b66*b165 + 6248*b66*b166 + 994*b66*b167 + 13774*b66*b168 + 7242*b66*b170 + 
    3976*b66*b171 + 8804*b66*b172 + 284*b66*b173 + 6958*b66*b174 + 7526*b66*
    b175 + 3976*b66*b177 + 4402*b66*b178 + 2880*b66*b179 + 2880*b66*b180 + 4080
    *b66*b181 + 4240*b66*b182 + 5600*b66*b183 + 1120*b66*b184 + 5280*b66*b185
     + 4240*b66*b186 + 5760*b66*b187 + 3520*b66*b188 + 560*b66*b189 + 7760*b66*
    b190 + 4080*b66*b192 + 2240*b66*b193 + 4960*b66*b194 + 160*b66*b195 + 3920*
    b66*b196 + 4240*b66*b197 + 2240*b66*b199 + 2480*b66*b200 + 6696*b66*b201 + 
    6696*b66*b202 + 9486*b66*b203 + 9858*b66*b204 + 13020*b66*b205 + 2604*b66*
    b206 + 12276*b66*b207 + 9858*b66*b208 + 13392*b66*b209 + 8184*b66*b210 + 
    1302*b66*b211 + 18042*b66*b212 + 9486*b66*b214 + 5208*b66*b215 + 11532*b66*
    b216 + 372*b66*b217 + 9114*b66*b218 + 9858*b66*b219 + 5208*b66*b221 + 5766*
    b66*b222 + 1944*b66*b223 + 1944*b66*b224 + 2754*b66*b225 + 2862*b66*b226 + 
    3780*b66*b227 + 756*b66*b228 + 3564*b66*b229 + 2862*b66*b230 + 3888*b66*
    b231 + 2376*b66*b232 + 378*b66*b233 + 5238*b66*b234 + 2754*b66*b236 + 1512*
    b66*b237 + 3348*b66*b238 + 108*b66*b239 + 2646*b66*b240 + 2862*b66*b241 + 
    1512*b66*b243 + 1674*b66*b244 + 6696*b66*b245 + 6696*b66*b246 + 9486*b66*
    b247 + 9858*b66*b248 + 13020*b66*b249 + 2604*b66*b250 + 12276*b66*b251 + 
    9858*b66*b252 + 13392*b66*b253 + 8184*b66*b254 + 1302*b66*b255 + 18042*b66*
    b256 + 9486*b66*b258 + 5208*b66*b259 + 11532*b66*b260 + 372*b66*b261 + 9114
    *b66*b262 + 9858*b66*b263 + 5208*b66*b265 + 5766*b66*b266 + 6624*b66*b267
     + 6624*b66*b268 + 9384*b66*b269 + 9752*b66*b270 + 12880*b66*b271 + 2576*
    b66*b272 + 12144*b66*b273 + 9752*b66*b274 + 13248*b66*b275 + 8096*b66*b276
     + 1288*b66*b277 + 17848*b66*b278 + 9384*b66*b280 + 5152*b66*b281 + 11408*
    b66*b282 + 368*b66*b283 + 9016*b66*b284 + 9752*b66*b285 + 5152*b66*b287 + 
    5704*b66*b288 + 2448*b66*b289 + 2448*b66*b290 + 3468*b66*b291 + 3604*b66*
    b292 + 4760*b66*b293 + 952*b66*b294 + 4488*b66*b295 + 3604*b66*b296 + 4896*
    b66*b297 + 2992*b66*b298 + 476*b66*b299 + 6596*b66*b300 + 3468*b66*b302 + 
    1904*b66*b303 + 4216*b66*b304 + 136*b66*b305 + 3332*b66*b306 + 3604*b66*
    b307 + 1904*b66*b309 + 2108*b66*b310 + 2808*b66*b311 + 2808*b66*b312 + 3978
    *b66*b313 + 4134*b66*b314 + 5460*b66*b315 + 1092*b66*b316 + 5148*b66*b317
     + 4134*b66*b318 + 5616*b66*b319 + 3432*b66*b320 + 546*b66*b321 + 7566*b66*
    b322 + 3978*b66*b324 + 2184*b66*b325 + 4836*b66*b326 + 156*b66*b327 + 3822*
    b66*b328 + 4134*b66*b329 + 2184*b66*b331 + 2418*b66*b332 + 2232*b66*b333 + 
    2232*b66*b334 + 3162*b66*b335 + 3286*b66*b336 + 4340*b66*b337 + 868*b66*
    b338 + 4092*b66*b339 + 3286*b66*b340 + 4464*b66*b341 + 2728*b66*b342 + 434*
    b66*b343 + 6014*b66*b344 + 3162*b66*b346 + 1736*b66*b347 + 3844*b66*b348 + 
    124*b66*b349 + 3038*b66*b350 + 3286*b66*b351 + 1736*b66*b353 + 1922*b66*
    b354 + 1872*b66*b355 + 1872*b66*b356 + 2652*b66*b357 + 2756*b66*b358 + 3640
    *b66*b359 + 728*b66*b360 + 3432*b66*b361 + 2756*b66*b362 + 3744*b66*b363 + 
    2288*b66*b364 + 364*b66*b365 + 5044*b66*b366 + 2652*b66*b368 + 1456*b66*
    b369 + 3224*b66*b370 + 104*b66*b371 + 2548*b66*b372 + 2756*b66*b373 + 1456*
    b66*b375 + 1612*b66*b376 + 72*b66*b377 + 72*b66*b378 + 102*b66*b379 + 106*
    b66*b380 + 140*b66*b381 + 28*b66*b382 + 132*b66*b383 + 106*b66*b384 + 144*
    b66*b385 + 88*b66*b386 + 14*b66*b387 + 194*b66*b388 + 102*b66*b390 + 56*b66
    *b391 + 124*b66*b392 + 4*b66*b393 + 98*b66*b394 + 106*b66*b395 + 56*b66*
    b397 + 62*b66*b398 + 6264*b66*b399 + 6264*b66*b400 + 8874*b66*b401 + 9222*
    b66*b402 + 12180*b66*b403 + 2436*b66*b404 + 11484*b66*b405 + 9222*b66*b406
     + 12528*b66*b407 + 7656*b66*b408 + 1218*b66*b409 + 16878*b66*b410 + 8874*
    b66*b412 + 4872*b66*b413 + 10788*b66*b414 + 348*b66*b415 + 8526*b66*b416 + 
    9222*b66*b417 + 4872*b66*b419 + 5394*b66*b420 + 5184*b66*b421 + 5184*b66*
    b422 + 7344*b66*b423 + 7632*b66*b424 + 10080*b66*b425 + 2016*b66*b426 + 
    9504*b66*b427 + 7632*b66*b428 + 10368*b66*b429 + 6336*b66*b430 + 1008*b66*
    b431 + 13968*b66*b432 + 7344*b66*b434 + 4032*b66*b435 + 8928*b66*b436 + 288
    *b66*b437 + 7056*b66*b438 + 7632*b66*b439 + 4032*b66*b441 + 4464*b66*b442
     + 4248*b66*b443 + 4248*b66*b444 + 6018*b66*b445 + 6254*b66*b446 + 8260*b66
    *b447 + 1652*b66*b448 + 7788*b66*b449 + 6254*b66*b450 + 8496*b66*b451 + 
    5192*b66*b452 + 826*b66*b453 + 11446*b66*b454 + 6018*b66*b456 + 3304*b66*
    b457 + 7316*b66*b458 + 236*b66*b459 + 5782*b66*b460 + 6254*b66*b461 + 3304*
    b66*b463 + 3658*b66*b464 + 6984*b66*b465 + 6984*b66*b466 + 9894*b66*b467 + 
    10282*b66*b468 + 13580*b66*b469 + 2716*b66*b470 + 12804*b66*b471 + 10282*
    b66*b472 + 13968*b66*b473 + 8536*b66*b474 + 1358*b66*b475 + 18818*b66*b476
     + 9894*b66*b478 + 5432*b66*b479 + 12028*b66*b480 + 388*b66*b481 + 9506*b66
    *b482 + 10282*b66*b483 + 5432*b66*b485 + 6014*b66*b486 + 3312*b66*b487 + 
    3312*b66*b488 + 4692*b66*b489 + 4876*b66*b490 + 6440*b66*b491 + 1288*b66*
    b492 + 6072*b66*b493 + 4876*b66*b494 + 6624*b66*b495 + 4048*b66*b496 + 644*
    b66*b497 + 8924*b66*b498 + 4692*b66*b500 + 2576*b66*b501 + 5704*b66*b502 + 
    184*b66*b503 + 4508*b66*b504 + 4876*b66*b505 + 2576*b66*b507 + 2852*b66*
    b508 + 4464*b66*b509 + 4464*b66*b510 + 6324*b66*b511 + 6572*b66*b512 + 8680
    *b66*b513 + 1736*b66*b514 + 8184*b66*b515 + 6572*b66*b516 + 8928*b66*b517
     + 5456*b66*b518 + 868*b66*b519 + 12028*b66*b520 + 6324*b66*b522 + 3472*b66
    *b523 + 7688*b66*b524 + 248*b66*b525 + 6076*b66*b526 + 6572*b66*b527 + 3472
    *b66*b529 + 3844*b66*b530 + 15980*b66*b531 + 14476*b66*b532 + 14100*b66*
    b533 + 340*b66*b537 + 308*b66*b538 + 300*b66*b539 + 4590*b66*b540 + 4158*
    b66*b541 + 4050*b66*b542 + 13940*b66*b543 + 12628*b66*b544 + 12300*b66*b545
     + 12070*b66*b546 + 10934*b66*b547 + 10650*b66*b548 + 12070*b66*b549 + 
    10934*b66*b550 + 10650*b66*b551 + 6800*b66*b552 + 6160*b66*b553 + 6000*b66*
    b554 + 15810*b66*b555 + 14322*b66*b556 + 13950*b66*b557 + 4590*b66*b558 + 
    4158*b66*b559 + 4050*b66*b560 + 15810*b66*b561 + 14322*b66*b562 + 13950*b66
    *b563 + 15640*b66*b564 + 14168*b66*b565 + 13800*b66*b566 + 5780*b66*b567 + 
    5236*b66*b568 + 5100*b66*b569 + 6630*b66*b570 + 6006*b66*b571 + 5850*b66*
    b572 + 5270*b66*b573 + 4774*b66*b574 + 4650*b66*b575 + 4420*b66*b576 + 4004
    *b66*b577 + 3900*b66*b578 + 170*b66*b579 + 154*b66*b580 + 150*b66*b581 + 
    14790*b66*b582 + 13398*b66*b583 + 13050*b66*b584 + 12240*b66*b585 + 11088*
    b66*b586 + 10800*b66*b587 + 10030*b66*b588 + 9086*b66*b589 + 8850*b66*b590
     + 16490*b66*b591 + 14938*b66*b592 + 14550*b66*b593 + 7820*b66*b594 + 7084*
    b66*b595 + 6900*b66*b596 + 10540*b66*b597 + 9548*b66*b598 + 9300*b66*b599
     + 4464*b66*b600 + 6324*b66*b601 + 6572*b66*b602 + 8680*b66*b603 + 1736*b66
    *b604 + 8184*b66*b605 + 6572*b66*b606 + 8928*b66*b607 + 5456*b66*b608 + 868
    *b66*b609 + 12028*b66*b610 + 6324*b66*b612 + 3472*b66*b613 + 9548*b66*b614
     + 7688*b66*b615 + 248*b66*b616 + 6076*b66*b617 + 6572*b66*b618 + 3472*b66*
    b620 + 3844*b66*b621 + 9300*b66*b622 + 4464*b66*b623 + 16660*b66*b624 + 
    15092*b66*b625 + 14700*b66*b626 + 84*b67*b69 + 108*b67*b70 + 12*b67*b71 + 
    148*b67*b72 + 396*b67*b73 + 356*b67*b74 + 232*b67*b75 + 308*b67*b76 + 28*
    b67*b77 + 140*b67*b78 + 348*b67*b79 + 132*b67*b80 + 192*b67*b81 + 268*b67*
    b82 + 304*b67*b83 + 332*b67*b84 + 8*b67*b85 + 244*b67*b86 + 384*b67*b87 + 
    112*b67*b88 + 4*b67*b90 + 1134*b67*b91 + 1458*b67*b92 + 162*b67*b93 + 1998*
    b67*b94 + 5346*b67*b95 + 4806*b67*b96 + 3132*b67*b97 + 4158*b67*b98 + 378*
    b67*b99 + 1890*b67*b100 + 4698*b67*b101 + 1782*b67*b102 + 2592*b67*b103 + 
    3618*b67*b104 + 4104*b67*b105 + 4482*b67*b106 + 108*b67*b107 + 3294*b67*
    b108 + 5184*b67*b109 + 1512*b67*b110 + 54*b67*b112 + 3444*b67*b113 + 4428*
    b67*b114 + 492*b67*b115 + 6068*b67*b116 + 16236*b67*b117 + 14596*b67*b118
     + 9512*b67*b119 + 12628*b67*b120 + 1148*b67*b121 + 5740*b67*b122 + 14268*
    b67*b123 + 5412*b67*b124 + 7872*b67*b125 + 10988*b67*b126 + 12464*b67*b127
     + 13612*b67*b128 + 328*b67*b129 + 10004*b67*b130 + 15744*b67*b131 + 4592*
    b67*b132 + 164*b67*b134 + 2982*b67*b135 + 3834*b67*b136 + 426*b67*b137 + 
    5254*b67*b138 + 14058*b67*b139 + 12638*b67*b140 + 8236*b67*b141 + 10934*b67
    *b142 + 994*b67*b143 + 4970*b67*b144 + 12354*b67*b145 + 4686*b67*b146 + 
    6816*b67*b147 + 9514*b67*b148 + 10792*b67*b149 + 11786*b67*b150 + 284*b67*
    b151 + 8662*b67*b152 + 13632*b67*b153 + 3976*b67*b154 + 142*b67*b156 + 2982
    *b67*b157 + 3834*b67*b158 + 426*b67*b159 + 5254*b67*b160 + 14058*b67*b161
     + 12638*b67*b162 + 8236*b67*b163 + 10934*b67*b164 + 994*b67*b165 + 4970*
    b67*b166 + 12354*b67*b167 + 4686*b67*b168 + 6816*b67*b169 + 9514*b67*b170
     + 10792*b67*b171 + 11786*b67*b172 + 284*b67*b173 + 8662*b67*b174 + 13632*
    b67*b175 + 3976*b67*b176 + 142*b67*b178 + 1680*b67*b179 + 2160*b67*b180 + 
    240*b67*b181 + 2960*b67*b182 + 7920*b67*b183 + 7120*b67*b184 + 4640*b67*
    b185 + 6160*b67*b186 + 560*b67*b187 + 2800*b67*b188 + 6960*b67*b189 + 2640*
    b67*b190 + 3840*b67*b191 + 5360*b67*b192 + 6080*b67*b193 + 6640*b67*b194 + 
    160*b67*b195 + 4880*b67*b196 + 7680*b67*b197 + 2240*b67*b198 + 80*b67*b200
     + 3906*b67*b201 + 5022*b67*b202 + 558*b67*b203 + 6882*b67*b204 + 18414*b67
    *b205 + 16554*b67*b206 + 10788*b67*b207 + 14322*b67*b208 + 1302*b67*b209 + 
    6510*b67*b210 + 16182*b67*b211 + 6138*b67*b212 + 8928*b67*b213 + 12462*b67*
    b214 + 14136*b67*b215 + 15438*b67*b216 + 372*b67*b217 + 11346*b67*b218 + 
    17856*b67*b219 + 5208*b67*b220 + 186*b67*b222 + 1134*b67*b223 + 1458*b67*
    b224 + 162*b67*b225 + 1998*b67*b226 + 5346*b67*b227 + 4806*b67*b228 + 3132*
    b67*b229 + 4158*b67*b230 + 378*b67*b231 + 1890*b67*b232 + 4698*b67*b233 + 
    1782*b67*b234 + 2592*b67*b235 + 3618*b67*b236 + 4104*b67*b237 + 4482*b67*
    b238 + 108*b67*b239 + 3294*b67*b240 + 5184*b67*b241 + 1512*b67*b242 + 54*
    b67*b244 + 3906*b67*b245 + 5022*b67*b246 + 558*b67*b247 + 6882*b67*b248 + 
    18414*b67*b249 + 16554*b67*b250 + 10788*b67*b251 + 14322*b67*b252 + 1302*
    b67*b253 + 6510*b67*b254 + 16182*b67*b255 + 6138*b67*b256 + 8928*b67*b257
     + 12462*b67*b258 + 14136*b67*b259 + 15438*b67*b260 + 372*b67*b261 + 11346*
    b67*b262 + 17856*b67*b263 + 5208*b67*b264 + 186*b67*b266 + 3864*b67*b267 + 
    4968*b67*b268 + 552*b67*b269 + 6808*b67*b270 + 18216*b67*b271 + 16376*b67*
    b272 + 10672*b67*b273 + 14168*b67*b274 + 1288*b67*b275 + 6440*b67*b276 + 
    16008*b67*b277 + 6072*b67*b278 + 8832*b67*b279 + 12328*b67*b280 + 13984*b67
    *b281 + 15272*b67*b282 + 368*b67*b283 + 11224*b67*b284 + 17664*b67*b285 + 
    5152*b67*b286 + 184*b67*b288 + 1428*b67*b289 + 1836*b67*b290 + 204*b67*b291
     + 2516*b67*b292 + 6732*b67*b293 + 6052*b67*b294 + 3944*b67*b295 + 5236*b67
    *b296 + 476*b67*b297 + 2380*b67*b298 + 5916*b67*b299 + 2244*b67*b300 + 3264
    *b67*b301 + 4556*b67*b302 + 5168*b67*b303 + 5644*b67*b304 + 136*b67*b305 + 
    4148*b67*b306 + 6528*b67*b307 + 1904*b67*b308 + 68*b67*b310 + 1638*b67*b311
     + 2106*b67*b312 + 234*b67*b313 + 2886*b67*b314 + 7722*b67*b315 + 6942*b67*
    b316 + 4524*b67*b317 + 6006*b67*b318 + 546*b67*b319 + 2730*b67*b320 + 6786*
    b67*b321 + 2574*b67*b322 + 3744*b67*b323 + 5226*b67*b324 + 5928*b67*b325 + 
    6474*b67*b326 + 156*b67*b327 + 4758*b67*b328 + 7488*b67*b329 + 2184*b67*
    b330 + 78*b67*b332 + 1302*b67*b333 + 1674*b67*b334 + 186*b67*b335 + 2294*
    b67*b336 + 6138*b67*b337 + 5518*b67*b338 + 3596*b67*b339 + 4774*b67*b340 + 
    434*b67*b341 + 2170*b67*b342 + 5394*b67*b343 + 2046*b67*b344 + 2976*b67*
    b345 + 4154*b67*b346 + 4712*b67*b347 + 5146*b67*b348 + 124*b67*b349 + 3782*
    b67*b350 + 5952*b67*b351 + 1736*b67*b352 + 62*b67*b354 + 1092*b67*b355 + 
    1404*b67*b356 + 156*b67*b357 + 1924*b67*b358 + 5148*b67*b359 + 4628*b67*
    b360 + 3016*b67*b361 + 4004*b67*b362 + 364*b67*b363 + 1820*b67*b364 + 4524*
    b67*b365 + 1716*b67*b366 + 2496*b67*b367 + 3484*b67*b368 + 3952*b67*b369 + 
    4316*b67*b370 + 104*b67*b371 + 3172*b67*b372 + 4992*b67*b373 + 1456*b67*
    b374 + 52*b67*b376 + 42*b67*b377 + 54*b67*b378 + 6*b67*b379 + 74*b67*b380
     + 198*b67*b381 + 178*b67*b382 + 116*b67*b383 + 154*b67*b384 + 14*b67*b385
     + 70*b67*b386 + 174*b67*b387 + 66*b67*b388 + 96*b67*b389 + 134*b67*b390 + 
    152*b67*b391 + 166*b67*b392 + 4*b67*b393 + 122*b67*b394 + 192*b67*b395 + 56
    *b67*b396 + 2*b67*b398 + 3654*b67*b399 + 4698*b67*b400 + 522*b67*b401 + 
    6438*b67*b402 + 17226*b67*b403 + 15486*b67*b404 + 10092*b67*b405 + 13398*
    b67*b406 + 1218*b67*b407 + 6090*b67*b408 + 15138*b67*b409 + 5742*b67*b410
     + 8352*b67*b411 + 11658*b67*b412 + 13224*b67*b413 + 14442*b67*b414 + 348*
    b67*b415 + 10614*b67*b416 + 16704*b67*b417 + 4872*b67*b418 + 174*b67*b420
     + 3024*b67*b421 + 3888*b67*b422 + 432*b67*b423 + 5328*b67*b424 + 14256*b67
    *b425 + 12816*b67*b426 + 8352*b67*b427 + 11088*b67*b428 + 1008*b67*b429 + 
    5040*b67*b430 + 12528*b67*b431 + 4752*b67*b432 + 6912*b67*b433 + 9648*b67*
    b434 + 10944*b67*b435 + 11952*b67*b436 + 288*b67*b437 + 8784*b67*b438 + 
    13824*b67*b439 + 4032*b67*b440 + 144*b67*b442 + 2478*b67*b443 + 3186*b67*
    b444 + 354*b67*b445 + 4366*b67*b446 + 11682*b67*b447 + 10502*b67*b448 + 
    6844*b67*b449 + 9086*b67*b450 + 826*b67*b451 + 4130*b67*b452 + 10266*b67*
    b453 + 3894*b67*b454 + 5664*b67*b455 + 7906*b67*b456 + 8968*b67*b457 + 9794
    *b67*b458 + 236*b67*b459 + 7198*b67*b460 + 11328*b67*b461 + 3304*b67*b462
     + 118*b67*b464 + 4074*b67*b465 + 5238*b67*b466 + 582*b67*b467 + 7178*b67*
    b468 + 19206*b67*b469 + 17266*b67*b470 + 11252*b67*b471 + 14938*b67*b472 + 
    1358*b67*b473 + 6790*b67*b474 + 16878*b67*b475 + 6402*b67*b476 + 9312*b67*
    b477 + 12998*b67*b478 + 14744*b67*b479 + 16102*b67*b480 + 388*b67*b481 + 
    11834*b67*b482 + 18624*b67*b483 + 5432*b67*b484 + 194*b67*b486 + 1932*b67*
    b487 + 2484*b67*b488 + 276*b67*b489 + 3404*b67*b490 + 9108*b67*b491 + 8188*
    b67*b492 + 5336*b67*b493 + 7084*b67*b494 + 644*b67*b495 + 3220*b67*b496 + 
    8004*b67*b497 + 3036*b67*b498 + 4416*b67*b499 + 6164*b67*b500 + 6992*b67*
    b501 + 7636*b67*b502 + 184*b67*b503 + 5612*b67*b504 + 8832*b67*b505 + 2576*
    b67*b506 + 92*b67*b508 + 2604*b67*b509 + 3348*b67*b510 + 372*b67*b511 + 
    4588*b67*b512 + 12276*b67*b513 + 11036*b67*b514 + 7192*b67*b515 + 9548*b67*
    b516 + 868*b67*b517 + 4340*b67*b518 + 10788*b67*b519 + 4092*b67*b520 + 5952
    *b67*b521 + 8308*b67*b522 + 9424*b67*b523 + 10292*b67*b524 + 248*b67*b525
     + 7564*b67*b526 + 11904*b67*b527 + 3472*b67*b528 + 124*b67*b530 + 15792*
    b67*b531 + 8272*b67*b532 + 17860*b67*b533 + 336*b67*b537 + 176*b67*b538 + 
    380*b67*b539 + 4536*b67*b540 + 2376*b67*b541 + 5130*b67*b542 + 13776*b67*
    b543 + 7216*b67*b544 + 15580*b67*b545 + 11928*b67*b546 + 6248*b67*b547 + 
    13490*b67*b548 + 11928*b67*b549 + 6248*b67*b550 + 13490*b67*b551 + 6720*b67
    *b552 + 3520*b67*b553 + 7600*b67*b554 + 15624*b67*b555 + 8184*b67*b556 + 
    17670*b67*b557 + 4536*b67*b558 + 2376*b67*b559 + 5130*b67*b560 + 15624*b67*
    b561 + 8184*b67*b562 + 17670*b67*b563 + 15456*b67*b564 + 8096*b67*b565 + 
    17480*b67*b566 + 5712*b67*b567 + 2992*b67*b568 + 6460*b67*b569 + 6552*b67*
    b570 + 3432*b67*b571 + 7410*b67*b572 + 5208*b67*b573 + 2728*b67*b574 + 5890
    *b67*b575 + 4368*b67*b576 + 2288*b67*b577 + 4940*b67*b578 + 168*b67*b579 + 
    88*b67*b580 + 190*b67*b581 + 14616*b67*b582 + 7656*b67*b583 + 16530*b67*
    b584 + 12096*b67*b585 + 6336*b67*b586 + 13680*b67*b587 + 9912*b67*b588 + 
    5192*b67*b589 + 11210*b67*b590 + 16296*b67*b591 + 8536*b67*b592 + 18430*b67
    *b593 + 7728*b67*b594 + 4048*b67*b595 + 8740*b67*b596 + 10416*b67*b597 + 
    5456*b67*b598 + 11780*b67*b599 + 3348*b67*b600 + 372*b67*b601 + 4588*b67*
    b602 + 12276*b67*b603 + 11036*b67*b604 + 7192*b67*b605 + 9548*b67*b606 + 
    868*b67*b607 + 4340*b67*b608 + 10788*b67*b609 + 4092*b67*b610 + 5952*b67*
    b611 + 8308*b67*b612 + 9424*b67*b613 + 5456*b67*b614 + 10292*b67*b615 + 248
    *b67*b616 + 7564*b67*b617 + 11904*b67*b618 + 3472*b67*b619 + 124*b67*b621
     + 11780*b67*b622 + 2604*b67*b623 + 16464*b67*b624 + 8624*b67*b625 + 18620*
    b67*b626 + 284*b68*b69 + 340*b68*b70 + 192*b68*b71 + 104*b68*b72 + 240*b68*
    b73 + 176*b68*b74 + 120*b68*b75 + 200*b68*b76 + 196*b68*b77 + 12*b68*b78 + 
    272*b68*b79 + 140*b68*b80 + 248*b68*b81 + 156*b68*b82 + 264*b68*b83 + 364*
    b68*b84 + 172*b68*b85 + 20*b68*b86 + 328*b68*b87 + 124*b68*b88 + 4*b68*b89
     + 3834*b68*b91 + 4590*b68*b92 + 2592*b68*b93 + 1404*b68*b94 + 3240*b68*b95
     + 2376*b68*b96 + 1620*b68*b97 + 2700*b68*b98 + 2646*b68*b99 + 162*b68*b100
     + 3672*b68*b101 + 1890*b68*b102 + 3348*b68*b103 + 2106*b68*b104 + 3564*b68
    *b105 + 4914*b68*b106 + 2322*b68*b107 + 270*b68*b108 + 4428*b68*b109 + 1674
    *b68*b110 + 54*b68*b111 + 11644*b68*b113 + 13940*b68*b114 + 7872*b68*b115
     + 4264*b68*b116 + 9840*b68*b117 + 7216*b68*b118 + 4920*b68*b119 + 8200*b68
    *b120 + 8036*b68*b121 + 492*b68*b122 + 11152*b68*b123 + 5740*b68*b124 + 
    10168*b68*b125 + 6396*b68*b126 + 10824*b68*b127 + 14924*b68*b128 + 7052*b68
    *b129 + 820*b68*b130 + 13448*b68*b131 + 5084*b68*b132 + 164*b68*b133 + 
    10082*b68*b135 + 12070*b68*b136 + 6816*b68*b137 + 3692*b68*b138 + 8520*b68*
    b139 + 6248*b68*b140 + 4260*b68*b141 + 7100*b68*b142 + 6958*b68*b143 + 426*
    b68*b144 + 9656*b68*b145 + 4970*b68*b146 + 8804*b68*b147 + 5538*b68*b148 + 
    9372*b68*b149 + 12922*b68*b150 + 6106*b68*b151 + 710*b68*b152 + 11644*b68*
    b153 + 4402*b68*b154 + 142*b68*b155 + 10082*b68*b157 + 12070*b68*b158 + 
    6816*b68*b159 + 3692*b68*b160 + 8520*b68*b161 + 6248*b68*b162 + 4260*b68*
    b163 + 7100*b68*b164 + 6958*b68*b165 + 426*b68*b166 + 9656*b68*b167 + 4970*
    b68*b168 + 8804*b68*b169 + 5538*b68*b170 + 9372*b68*b171 + 12922*b68*b172
     + 6106*b68*b173 + 710*b68*b174 + 11644*b68*b175 + 4402*b68*b176 + 142*b68*
    b177 + 5680*b68*b179 + 6800*b68*b180 + 3840*b68*b181 + 2080*b68*b182 + 4800
    *b68*b183 + 3520*b68*b184 + 2400*b68*b185 + 4000*b68*b186 + 3920*b68*b187
     + 240*b68*b188 + 5440*b68*b189 + 2800*b68*b190 + 4960*b68*b191 + 3120*b68*
    b192 + 5280*b68*b193 + 7280*b68*b194 + 3440*b68*b195 + 400*b68*b196 + 6560*
    b68*b197 + 2480*b68*b198 + 80*b68*b199 + 13206*b68*b201 + 15810*b68*b202 + 
    8928*b68*b203 + 4836*b68*b204 + 11160*b68*b205 + 8184*b68*b206 + 5580*b68*
    b207 + 9300*b68*b208 + 9114*b68*b209 + 558*b68*b210 + 12648*b68*b211 + 6510
    *b68*b212 + 11532*b68*b213 + 7254*b68*b214 + 12276*b68*b215 + 16926*b68*
    b216 + 7998*b68*b217 + 930*b68*b218 + 15252*b68*b219 + 5766*b68*b220 + 186*
    b68*b221 + 3834*b68*b223 + 4590*b68*b224 + 2592*b68*b225 + 1404*b68*b226 + 
    3240*b68*b227 + 2376*b68*b228 + 1620*b68*b229 + 2700*b68*b230 + 2646*b68*
    b231 + 162*b68*b232 + 3672*b68*b233 + 1890*b68*b234 + 3348*b68*b235 + 2106*
    b68*b236 + 3564*b68*b237 + 4914*b68*b238 + 2322*b68*b239 + 270*b68*b240 + 
    4428*b68*b241 + 1674*b68*b242 + 54*b68*b243 + 13206*b68*b245 + 15810*b68*
    b246 + 8928*b68*b247 + 4836*b68*b248 + 11160*b68*b249 + 8184*b68*b250 + 
    5580*b68*b251 + 9300*b68*b252 + 9114*b68*b253 + 558*b68*b254 + 12648*b68*
    b255 + 6510*b68*b256 + 11532*b68*b257 + 7254*b68*b258 + 12276*b68*b259 + 
    16926*b68*b260 + 7998*b68*b261 + 930*b68*b262 + 15252*b68*b263 + 5766*b68*
    b264 + 186*b68*b265 + 13064*b68*b267 + 15640*b68*b268 + 8832*b68*b269 + 
    4784*b68*b270 + 11040*b68*b271 + 8096*b68*b272 + 5520*b68*b273 + 9200*b68*
    b274 + 9016*b68*b275 + 552*b68*b276 + 12512*b68*b277 + 6440*b68*b278 + 
    11408*b68*b279 + 7176*b68*b280 + 12144*b68*b281 + 16744*b68*b282 + 7912*b68
    *b283 + 920*b68*b284 + 15088*b68*b285 + 5704*b68*b286 + 184*b68*b287 + 4828
    *b68*b289 + 5780*b68*b290 + 3264*b68*b291 + 1768*b68*b292 + 4080*b68*b293
     + 2992*b68*b294 + 2040*b68*b295 + 3400*b68*b296 + 3332*b68*b297 + 204*b68*
    b298 + 4624*b68*b299 + 2380*b68*b300 + 4216*b68*b301 + 2652*b68*b302 + 4488
    *b68*b303 + 6188*b68*b304 + 2924*b68*b305 + 340*b68*b306 + 5576*b68*b307 + 
    2108*b68*b308 + 68*b68*b309 + 5538*b68*b311 + 6630*b68*b312 + 3744*b68*b313
     + 2028*b68*b314 + 4680*b68*b315 + 3432*b68*b316 + 2340*b68*b317 + 3900*b68
    *b318 + 3822*b68*b319 + 234*b68*b320 + 5304*b68*b321 + 2730*b68*b322 + 4836
    *b68*b323 + 3042*b68*b324 + 5148*b68*b325 + 7098*b68*b326 + 3354*b68*b327
     + 390*b68*b328 + 6396*b68*b329 + 2418*b68*b330 + 78*b68*b331 + 4402*b68*
    b333 + 5270*b68*b334 + 2976*b68*b335 + 1612*b68*b336 + 3720*b68*b337 + 2728
    *b68*b338 + 1860*b68*b339 + 3100*b68*b340 + 3038*b68*b341 + 186*b68*b342 + 
    4216*b68*b343 + 2170*b68*b344 + 3844*b68*b345 + 2418*b68*b346 + 4092*b68*
    b347 + 5642*b68*b348 + 2666*b68*b349 + 310*b68*b350 + 5084*b68*b351 + 1922*
    b68*b352 + 62*b68*b353 + 3692*b68*b355 + 4420*b68*b356 + 2496*b68*b357 + 
    1352*b68*b358 + 3120*b68*b359 + 2288*b68*b360 + 1560*b68*b361 + 2600*b68*
    b362 + 2548*b68*b363 + 156*b68*b364 + 3536*b68*b365 + 1820*b68*b366 + 3224*
    b68*b367 + 2028*b68*b368 + 3432*b68*b369 + 4732*b68*b370 + 2236*b68*b371 + 
    260*b68*b372 + 4264*b68*b373 + 1612*b68*b374 + 52*b68*b375 + 142*b68*b377
     + 170*b68*b378 + 96*b68*b379 + 52*b68*b380 + 120*b68*b381 + 88*b68*b382 + 
    60*b68*b383 + 100*b68*b384 + 98*b68*b385 + 6*b68*b386 + 136*b68*b387 + 70*
    b68*b388 + 124*b68*b389 + 78*b68*b390 + 132*b68*b391 + 182*b68*b392 + 86*
    b68*b393 + 10*b68*b394 + 164*b68*b395 + 62*b68*b396 + 2*b68*b397 + 12354*
    b68*b399 + 14790*b68*b400 + 8352*b68*b401 + 4524*b68*b402 + 10440*b68*b403
     + 7656*b68*b404 + 5220*b68*b405 + 8700*b68*b406 + 8526*b68*b407 + 522*b68*
    b408 + 11832*b68*b409 + 6090*b68*b410 + 10788*b68*b411 + 6786*b68*b412 + 
    11484*b68*b413 + 15834*b68*b414 + 7482*b68*b415 + 870*b68*b416 + 14268*b68*
    b417 + 5394*b68*b418 + 174*b68*b419 + 10224*b68*b421 + 12240*b68*b422 + 
    6912*b68*b423 + 3744*b68*b424 + 8640*b68*b425 + 6336*b68*b426 + 4320*b68*
    b427 + 7200*b68*b428 + 7056*b68*b429 + 432*b68*b430 + 9792*b68*b431 + 5040*
    b68*b432 + 8928*b68*b433 + 5616*b68*b434 + 9504*b68*b435 + 13104*b68*b436
     + 6192*b68*b437 + 720*b68*b438 + 11808*b68*b439 + 4464*b68*b440 + 144*b68*
    b441 + 8378*b68*b443 + 10030*b68*b444 + 5664*b68*b445 + 3068*b68*b446 + 
    7080*b68*b447 + 5192*b68*b448 + 3540*b68*b449 + 5900*b68*b450 + 5782*b68*
    b451 + 354*b68*b452 + 8024*b68*b453 + 4130*b68*b454 + 7316*b68*b455 + 4602*
    b68*b456 + 7788*b68*b457 + 10738*b68*b458 + 5074*b68*b459 + 590*b68*b460 + 
    9676*b68*b461 + 3658*b68*b462 + 118*b68*b463 + 13774*b68*b465 + 16490*b68*
    b466 + 9312*b68*b467 + 5044*b68*b468 + 11640*b68*b469 + 8536*b68*b470 + 
    5820*b68*b471 + 9700*b68*b472 + 9506*b68*b473 + 582*b68*b474 + 13192*b68*
    b475 + 6790*b68*b476 + 12028*b68*b477 + 7566*b68*b478 + 12804*b68*b479 + 
    17654*b68*b480 + 8342*b68*b481 + 970*b68*b482 + 15908*b68*b483 + 6014*b68*
    b484 + 194*b68*b485 + 6532*b68*b487 + 7820*b68*b488 + 4416*b68*b489 + 2392*
    b68*b490 + 5520*b68*b491 + 4048*b68*b492 + 2760*b68*b493 + 4600*b68*b494 + 
    4508*b68*b495 + 276*b68*b496 + 6256*b68*b497 + 3220*b68*b498 + 5704*b68*
    b499 + 3588*b68*b500 + 6072*b68*b501 + 8372*b68*b502 + 3956*b68*b503 + 460*
    b68*b504 + 7544*b68*b505 + 2852*b68*b506 + 92*b68*b507 + 8804*b68*b509 + 
    10540*b68*b510 + 5952*b68*b511 + 3224*b68*b512 + 7440*b68*b513 + 5456*b68*
    b514 + 3720*b68*b515 + 6200*b68*b516 + 6076*b68*b517 + 372*b68*b518 + 8432*
    b68*b519 + 4340*b68*b520 + 7688*b68*b521 + 4836*b68*b522 + 8184*b68*b523 + 
    11284*b68*b524 + 5332*b68*b525 + 620*b68*b526 + 10168*b68*b527 + 3844*b68*
    b528 + 124*b68*b529 + 2256*b68*b531 + 4888*b68*b532 + 1316*b68*b533 + 48*
    b68*b537 + 104*b68*b538 + 28*b68*b539 + 648*b68*b540 + 1404*b68*b541 + 378*
    b68*b542 + 1968*b68*b543 + 4264*b68*b544 + 1148*b68*b545 + 1704*b68*b546 + 
    3692*b68*b547 + 994*b68*b548 + 1704*b68*b549 + 3692*b68*b550 + 994*b68*b551
     + 960*b68*b552 + 2080*b68*b553 + 560*b68*b554 + 2232*b68*b555 + 4836*b68*
    b556 + 1302*b68*b557 + 648*b68*b558 + 1404*b68*b559 + 378*b68*b560 + 2232*
    b68*b561 + 4836*b68*b562 + 1302*b68*b563 + 2208*b68*b564 + 4784*b68*b565 + 
    1288*b68*b566 + 816*b68*b567 + 1768*b68*b568 + 476*b68*b569 + 936*b68*b570
     + 2028*b68*b571 + 546*b68*b572 + 744*b68*b573 + 1612*b68*b574 + 434*b68*
    b575 + 624*b68*b576 + 1352*b68*b577 + 364*b68*b578 + 24*b68*b579 + 52*b68*
    b580 + 14*b68*b581 + 2088*b68*b582 + 4524*b68*b583 + 1218*b68*b584 + 1728*
    b68*b585 + 3744*b68*b586 + 1008*b68*b587 + 1416*b68*b588 + 3068*b68*b589 + 
    826*b68*b590 + 2328*b68*b591 + 5044*b68*b592 + 1358*b68*b593 + 1104*b68*
    b594 + 2392*b68*b595 + 644*b68*b596 + 1488*b68*b597 + 3224*b68*b598 + 868*
    b68*b599 + 10540*b68*b600 + 5952*b68*b601 + 3224*b68*b602 + 7440*b68*b603
     + 5456*b68*b604 + 3720*b68*b605 + 6200*b68*b606 + 6076*b68*b607 + 372*b68*
    b608 + 8432*b68*b609 + 4340*b68*b610 + 7688*b68*b611 + 4836*b68*b612 + 8184
    *b68*b613 + 3224*b68*b614 + 11284*b68*b615 + 5332*b68*b616 + 620*b68*b617
     + 10168*b68*b618 + 3844*b68*b619 + 124*b68*b620 + 868*b68*b622 + 8804*b68*
    b623 + 2352*b68*b624 + 5096*b68*b625 + 1372*b68*b626 + 624*b69*b92 + 2184*
    b69*b93 + 264*b69*b94 + 840*b69*b95 + 1968*b69*b96 + 624*b69*b97 + 1656*b69
    *b98 + 1344*b69*b99 + 2064*b69*b100 + 1080*b69*b101 + 2184*b69*b102 + 1416*
    b69*b103 + 432*b69*b104 + 1824*b69*b105 + 432*b69*b106 + 1368*b69*b107 + 
    864*b69*b108 + 1464*b69*b109 + 864*b69*b110 + 504*b69*b111 + 1704*b69*b112
     + 4732*b69*b114 + 16562*b69*b115 + 2002*b69*b116 + 6370*b69*b117 + 14924*
    b69*b118 + 4732*b69*b119 + 12558*b69*b120 + 10192*b69*b121 + 15652*b69*b122
     + 8190*b69*b123 + 16562*b69*b124 + 10738*b69*b125 + 3276*b69*b126 + 13832*
    b69*b127 + 3276*b69*b128 + 10374*b69*b129 + 6552*b69*b130 + 11102*b69*b131
     + 6552*b69*b132 + 3822*b69*b133 + 12922*b69*b134 + 3276*b69*b136 + 11466*
    b69*b137 + 1386*b69*b138 + 4410*b69*b139 + 10332*b69*b140 + 3276*b69*b141
     + 8694*b69*b142 + 7056*b69*b143 + 10836*b69*b144 + 5670*b69*b145 + 11466*
    b69*b146 + 7434*b69*b147 + 2268*b69*b148 + 9576*b69*b149 + 2268*b69*b150 + 
    7182*b69*b151 + 4536*b69*b152 + 7686*b69*b153 + 4536*b69*b154 + 2646*b69*
    b155 + 8946*b69*b156 + 3640*b69*b158 + 12740*b69*b159 + 1540*b69*b160 + 
    4900*b69*b161 + 11480*b69*b162 + 3640*b69*b163 + 9660*b69*b164 + 7840*b69*
    b165 + 12040*b69*b166 + 6300*b69*b167 + 12740*b69*b168 + 8260*b69*b169 + 
    2520*b69*b170 + 10640*b69*b171 + 2520*b69*b172 + 7980*b69*b173 + 5040*b69*
    b174 + 8540*b69*b175 + 5040*b69*b176 + 2940*b69*b177 + 9940*b69*b178 + 52*
    b69*b180 + 182*b69*b181 + 22*b69*b182 + 70*b69*b183 + 164*b69*b184 + 52*b69
    *b185 + 138*b69*b186 + 112*b69*b187 + 172*b69*b188 + 90*b69*b189 + 182*b69*
    b190 + 118*b69*b191 + 36*b69*b192 + 152*b69*b193 + 36*b69*b194 + 114*b69*
    b195 + 72*b69*b196 + 122*b69*b197 + 72*b69*b198 + 42*b69*b199 + 142*b69*
    b200 + 1144*b69*b202 + 4004*b69*b203 + 484*b69*b204 + 1540*b69*b205 + 3608*
    b69*b206 + 1144*b69*b207 + 3036*b69*b208 + 2464*b69*b209 + 3784*b69*b210 + 
    1980*b69*b211 + 4004*b69*b212 + 2596*b69*b213 + 792*b69*b214 + 3344*b69*
    b215 + 792*b69*b216 + 2508*b69*b217 + 1584*b69*b218 + 2684*b69*b219 + 1584*
    b69*b220 + 924*b69*b221 + 3124*b69*b222 + 2548*b69*b224 + 8918*b69*b225 + 
    1078*b69*b226 + 3430*b69*b227 + 8036*b69*b228 + 2548*b69*b229 + 6762*b69*
    b230 + 5488*b69*b231 + 8428*b69*b232 + 4410*b69*b233 + 8918*b69*b234 + 5782
    *b69*b235 + 1764*b69*b236 + 7448*b69*b237 + 1764*b69*b238 + 5586*b69*b239
     + 3528*b69*b240 + 5978*b69*b241 + 3528*b69*b242 + 2058*b69*b243 + 6958*b69
    *b244 + 1248*b69*b246 + 4368*b69*b247 + 528*b69*b248 + 1680*b69*b249 + 3936
    *b69*b250 + 1248*b69*b251 + 3312*b69*b252 + 2688*b69*b253 + 4128*b69*b254
     + 2160*b69*b255 + 4368*b69*b256 + 2832*b69*b257 + 864*b69*b258 + 3648*b69*
    b259 + 864*b69*b260 + 2736*b69*b261 + 1728*b69*b262 + 2928*b69*b263 + 1728*
    b69*b264 + 1008*b69*b265 + 3408*b69*b266 + 3016*b69*b268 + 10556*b69*b269
     + 1276*b69*b270 + 4060*b69*b271 + 9512*b69*b272 + 3016*b69*b273 + 8004*b69
    *b274 + 6496*b69*b275 + 9976*b69*b276 + 5220*b69*b277 + 10556*b69*b278 + 
    6844*b69*b279 + 2088*b69*b280 + 8816*b69*b281 + 2088*b69*b282 + 6612*b69*
    b283 + 4176*b69*b284 + 7076*b69*b285 + 4176*b69*b286 + 2436*b69*b287 + 8236
    *b69*b288 + 3224*b69*b290 + 11284*b69*b291 + 1364*b69*b292 + 4340*b69*b293
     + 10168*b69*b294 + 3224*b69*b295 + 8556*b69*b296 + 6944*b69*b297 + 10664*
    b69*b298 + 5580*b69*b299 + 11284*b69*b300 + 7316*b69*b301 + 2232*b69*b302
     + 9424*b69*b303 + 2232*b69*b304 + 7068*b69*b305 + 4464*b69*b306 + 7564*b69
    *b307 + 4464*b69*b308 + 2604*b69*b309 + 8804*b69*b310 + 2548*b69*b312 + 
    8918*b69*b313 + 1078*b69*b314 + 3430*b69*b315 + 8036*b69*b316 + 2548*b69*
    b317 + 6762*b69*b318 + 5488*b69*b319 + 8428*b69*b320 + 4410*b69*b321 + 8918
    *b69*b322 + 5782*b69*b323 + 1764*b69*b324 + 7448*b69*b325 + 1764*b69*b326
     + 5586*b69*b327 + 3528*b69*b328 + 5978*b69*b329 + 3528*b69*b330 + 2058*b69
    *b331 + 6958*b69*b332 + 4888*b69*b334 + 17108*b69*b335 + 2068*b69*b336 + 
    6580*b69*b337 + 15416*b69*b338 + 4888*b69*b339 + 12972*b69*b340 + 10528*b69
    *b341 + 16168*b69*b342 + 8460*b69*b343 + 17108*b69*b344 + 11092*b69*b345 + 
    3384*b69*b346 + 14288*b69*b347 + 3384*b69*b348 + 10716*b69*b349 + 6768*b69*
    b350 + 11468*b69*b351 + 6768*b69*b352 + 3948*b69*b353 + 13348*b69*b354 + 
    4784*b69*b356 + 16744*b69*b357 + 2024*b69*b358 + 6440*b69*b359 + 15088*b69*
    b360 + 4784*b69*b361 + 12696*b69*b362 + 10304*b69*b363 + 15824*b69*b364 + 
    8280*b69*b365 + 16744*b69*b366 + 10856*b69*b367 + 3312*b69*b368 + 13984*b69
    *b369 + 3312*b69*b370 + 10488*b69*b371 + 6624*b69*b372 + 11224*b69*b373 + 
    6624*b69*b374 + 3864*b69*b375 + 13064*b69*b376 + 3276*b69*b378 + 11466*b69*
    b379 + 1386*b69*b380 + 4410*b69*b381 + 10332*b69*b382 + 3276*b69*b383 + 
    8694*b69*b384 + 7056*b69*b385 + 10836*b69*b386 + 5670*b69*b387 + 11466*b69*
    b388 + 7434*b69*b389 + 2268*b69*b390 + 9576*b69*b391 + 2268*b69*b392 + 7182
    *b69*b393 + 4536*b69*b394 + 7686*b69*b395 + 4536*b69*b396 + 2646*b69*b397
     + 8946*b69*b398 + 676*b69*b400 + 2366*b69*b401 + 286*b69*b402 + 910*b69*
    b403 + 2132*b69*b404 + 676*b69*b405 + 1794*b69*b406 + 1456*b69*b407 + 2236*
    b69*b408 + 1170*b69*b409 + 2366*b69*b410 + 1534*b69*b411 + 468*b69*b412 + 
    1976*b69*b413 + 468*b69*b414 + 1482*b69*b415 + 936*b69*b416 + 1586*b69*b417
     + 936*b69*b418 + 546*b69*b419 + 1846*b69*b420 + 2340*b69*b422 + 8190*b69*
    b423 + 990*b69*b424 + 3150*b69*b425 + 7380*b69*b426 + 2340*b69*b427 + 6210*
    b69*b428 + 5040*b69*b429 + 7740*b69*b430 + 4050*b69*b431 + 8190*b69*b432 + 
    5310*b69*b433 + 1620*b69*b434 + 6840*b69*b435 + 1620*b69*b436 + 5130*b69*
    b437 + 3240*b69*b438 + 5490*b69*b439 + 3240*b69*b440 + 1890*b69*b441 + 6390
    *b69*b442 + 1144*b69*b444 + 4004*b69*b445 + 484*b69*b446 + 1540*b69*b447 + 
    3608*b69*b448 + 1144*b69*b449 + 3036*b69*b450 + 2464*b69*b451 + 3784*b69*
    b452 + 1980*b69*b453 + 4004*b69*b454 + 2596*b69*b455 + 792*b69*b456 + 3344*
    b69*b457 + 792*b69*b458 + 2508*b69*b459 + 1584*b69*b460 + 2684*b69*b461 + 
    1584*b69*b462 + 924*b69*b463 + 3124*b69*b464 + 3588*b69*b466 + 12558*b69*
    b467 + 1518*b69*b468 + 4830*b69*b469 + 11316*b69*b470 + 3588*b69*b471 + 
    9522*b69*b472 + 7728*b69*b473 + 11868*b69*b474 + 6210*b69*b475 + 12558*b69*
    b476 + 8142*b69*b477 + 2484*b69*b478 + 10488*b69*b479 + 2484*b69*b480 + 
    7866*b69*b481 + 4968*b69*b482 + 8418*b69*b483 + 4968*b69*b484 + 2898*b69*
    b485 + 9798*b69*b486 + 3640*b69*b488 + 12740*b69*b489 + 1540*b69*b490 + 
    4900*b69*b491 + 11480*b69*b492 + 3640*b69*b493 + 9660*b69*b494 + 7840*b69*
    b495 + 12040*b69*b496 + 6300*b69*b497 + 12740*b69*b498 + 8260*b69*b499 + 
    2520*b69*b500 + 10640*b69*b501 + 2520*b69*b502 + 7980*b69*b503 + 5040*b69*
    b504 + 8540*b69*b505 + 5040*b69*b506 + 2940*b69*b507 + 9940*b69*b508 + 936*
    b69*b510 + 3276*b69*b511 + 396*b69*b512 + 1260*b69*b513 + 2952*b69*b514 + 
    936*b69*b515 + 2484*b69*b516 + 2016*b69*b517 + 3096*b69*b518 + 1620*b69*
    b519 + 3276*b69*b520 + 2124*b69*b521 + 648*b69*b522 + 2736*b69*b523 + 648*
    b69*b524 + 2052*b69*b525 + 1296*b69*b526 + 2196*b69*b527 + 1296*b69*b528 + 
    756*b69*b529 + 2556*b69*b530 + 798*b69*b531 + 1482*b69*b532 + 418*b69*b533
     + 84*b69*b534 + 156*b69*b535 + 44*b69*b536 + 504*b69*b540 + 936*b69*b541
     + 264*b69*b542 + 3822*b69*b543 + 7098*b69*b544 + 2002*b69*b545 + 2646*b69*
    b546 + 4914*b69*b547 + 1386*b69*b548 + 2940*b69*b549 + 5460*b69*b550 + 1540
    *b69*b551 + 42*b69*b552 + 78*b69*b553 + 22*b69*b554 + 924*b69*b555 + 1716*
    b69*b556 + 484*b69*b557 + 2058*b69*b558 + 3822*b69*b559 + 1078*b69*b560 + 
    1008*b69*b561 + 1872*b69*b562 + 528*b69*b563 + 2436*b69*b564 + 4524*b69*
    b565 + 1276*b69*b566 + 2604*b69*b567 + 4836*b69*b568 + 1364*b69*b569 + 2058
    *b69*b570 + 3822*b69*b571 + 1078*b69*b572 + 3948*b69*b573 + 7332*b69*b574
     + 2068*b69*b575 + 3864*b69*b576 + 7176*b69*b577 + 2024*b69*b578 + 2646*b69
    *b579 + 4914*b69*b580 + 1386*b69*b581 + 546*b69*b582 + 1014*b69*b583 + 286*
    b69*b584 + 1890*b69*b585 + 3510*b69*b586 + 990*b69*b587 + 924*b69*b588 + 
    1716*b69*b589 + 484*b69*b590 + 2898*b69*b591 + 5382*b69*b592 + 1518*b69*
    b593 + 2940*b69*b594 + 5460*b69*b595 + 1540*b69*b596 + 756*b69*b597 + 1404*
    b69*b598 + 396*b69*b599 + 1664*b69*b600 + 5824*b69*b601 + 704*b69*b602 + 
    2240*b69*b603 + 5248*b69*b604 + 1664*b69*b605 + 4416*b69*b606 + 3584*b69*
    b607 + 5504*b69*b608 + 2880*b69*b609 + 5824*b69*b610 + 3776*b69*b611 + 1152
    *b69*b612 + 4864*b69*b613 + 2496*b69*b614 + 1152*b69*b615 + 3648*b69*b616
     + 2304*b69*b617 + 3904*b69*b618 + 2304*b69*b619 + 1344*b69*b620 + 4544*b69
    *b621 + 704*b69*b622 + 2520*b69*b624 + 4680*b69*b625 + 1320*b69*b626 + 624*
    b70*b91 + 696*b70*b93 + 1968*b70*b94 + 1968*b70*b95 + 144*b70*b96 + 1704*
    b70*b97 + 192*b70*b98 + 1848*b70*b99 + 1776*b70*b100 + 720*b70*b101 + 2136*
    b70*b102 + 1824*b70*b103 + 1824*b70*b104 + 960*b70*b105 + 1344*b70*b106 + 
    24*b70*b107 + 1200*b70*b108 + 96*b70*b109 + 864*b70*b110 + 648*b70*b111 + 
    2040*b70*b112 + 4732*b70*b113 + 5278*b70*b115 + 14924*b70*b116 + 14924*b70*
    b117 + 1092*b70*b118 + 12922*b70*b119 + 1456*b70*b120 + 14014*b70*b121 + 
    13468*b70*b122 + 5460*b70*b123 + 16198*b70*b124 + 13832*b70*b125 + 13832*
    b70*b126 + 7280*b70*b127 + 10192*b70*b128 + 182*b70*b129 + 9100*b70*b130 + 
    728*b70*b131 + 6552*b70*b132 + 4914*b70*b133 + 15470*b70*b134 + 3276*b70*
    b135 + 3654*b70*b137 + 10332*b70*b138 + 10332*b70*b139 + 756*b70*b140 + 
    8946*b70*b141 + 1008*b70*b142 + 9702*b70*b143 + 9324*b70*b144 + 3780*b70*
    b145 + 11214*b70*b146 + 9576*b70*b147 + 9576*b70*b148 + 5040*b70*b149 + 
    7056*b70*b150 + 126*b70*b151 + 6300*b70*b152 + 504*b70*b153 + 4536*b70*b154
     + 3402*b70*b155 + 10710*b70*b156 + 3640*b70*b157 + 4060*b70*b159 + 11480*
    b70*b160 + 11480*b70*b161 + 840*b70*b162 + 9940*b70*b163 + 1120*b70*b164 + 
    10780*b70*b165 + 10360*b70*b166 + 4200*b70*b167 + 12460*b70*b168 + 10640*
    b70*b169 + 10640*b70*b170 + 5600*b70*b171 + 7840*b70*b172 + 140*b70*b173 + 
    7000*b70*b174 + 560*b70*b175 + 5040*b70*b176 + 3780*b70*b177 + 11900*b70*
    b178 + 52*b70*b179 + 58*b70*b181 + 164*b70*b182 + 164*b70*b183 + 12*b70*
    b184 + 142*b70*b185 + 16*b70*b186 + 154*b70*b187 + 148*b70*b188 + 60*b70*
    b189 + 178*b70*b190 + 152*b70*b191 + 152*b70*b192 + 80*b70*b193 + 112*b70*
    b194 + 2*b70*b195 + 100*b70*b196 + 8*b70*b197 + 72*b70*b198 + 54*b70*b199
     + 170*b70*b200 + 1144*b70*b201 + 1276*b70*b203 + 3608*b70*b204 + 3608*b70*
    b205 + 264*b70*b206 + 3124*b70*b207 + 352*b70*b208 + 3388*b70*b209 + 3256*
    b70*b210 + 1320*b70*b211 + 3916*b70*b212 + 3344*b70*b213 + 3344*b70*b214 + 
    1760*b70*b215 + 2464*b70*b216 + 44*b70*b217 + 2200*b70*b218 + 176*b70*b219
     + 1584*b70*b220 + 1188*b70*b221 + 3740*b70*b222 + 2548*b70*b223 + 2842*b70
    *b225 + 8036*b70*b226 + 8036*b70*b227 + 588*b70*b228 + 6958*b70*b229 + 784*
    b70*b230 + 7546*b70*b231 + 7252*b70*b232 + 2940*b70*b233 + 8722*b70*b234 + 
    7448*b70*b235 + 7448*b70*b236 + 3920*b70*b237 + 5488*b70*b238 + 98*b70*b239
     + 4900*b70*b240 + 392*b70*b241 + 3528*b70*b242 + 2646*b70*b243 + 8330*b70*
    b244 + 1248*b70*b245 + 1392*b70*b247 + 3936*b70*b248 + 3936*b70*b249 + 288*
    b70*b250 + 3408*b70*b251 + 384*b70*b252 + 3696*b70*b253 + 3552*b70*b254 + 
    1440*b70*b255 + 4272*b70*b256 + 3648*b70*b257 + 3648*b70*b258 + 1920*b70*
    b259 + 2688*b70*b260 + 48*b70*b261 + 2400*b70*b262 + 192*b70*b263 + 1728*
    b70*b264 + 1296*b70*b265 + 4080*b70*b266 + 3016*b70*b267 + 3364*b70*b269 + 
    9512*b70*b270 + 9512*b70*b271 + 696*b70*b272 + 8236*b70*b273 + 928*b70*b274
     + 8932*b70*b275 + 8584*b70*b276 + 3480*b70*b277 + 10324*b70*b278 + 8816*
    b70*b279 + 8816*b70*b280 + 4640*b70*b281 + 6496*b70*b282 + 116*b70*b283 + 
    5800*b70*b284 + 464*b70*b285 + 4176*b70*b286 + 3132*b70*b287 + 9860*b70*
    b288 + 3224*b70*b289 + 3596*b70*b291 + 10168*b70*b292 + 10168*b70*b293 + 
    744*b70*b294 + 8804*b70*b295 + 992*b70*b296 + 9548*b70*b297 + 9176*b70*b298
     + 3720*b70*b299 + 11036*b70*b300 + 9424*b70*b301 + 9424*b70*b302 + 4960*
    b70*b303 + 6944*b70*b304 + 124*b70*b305 + 6200*b70*b306 + 496*b70*b307 + 
    4464*b70*b308 + 3348*b70*b309 + 10540*b70*b310 + 2548*b70*b311 + 2842*b70*
    b313 + 8036*b70*b314 + 8036*b70*b315 + 588*b70*b316 + 6958*b70*b317 + 784*
    b70*b318 + 7546*b70*b319 + 7252*b70*b320 + 2940*b70*b321 + 8722*b70*b322 + 
    7448*b70*b323 + 7448*b70*b324 + 3920*b70*b325 + 5488*b70*b326 + 98*b70*b327
     + 4900*b70*b328 + 392*b70*b329 + 3528*b70*b330 + 2646*b70*b331 + 8330*b70*
    b332 + 4888*b70*b333 + 5452*b70*b335 + 15416*b70*b336 + 15416*b70*b337 + 
    1128*b70*b338 + 13348*b70*b339 + 1504*b70*b340 + 14476*b70*b341 + 13912*b70
    *b342 + 5640*b70*b343 + 16732*b70*b344 + 14288*b70*b345 + 14288*b70*b346 + 
    7520*b70*b347 + 10528*b70*b348 + 188*b70*b349 + 9400*b70*b350 + 752*b70*
    b351 + 6768*b70*b352 + 5076*b70*b353 + 15980*b70*b354 + 4784*b70*b355 + 
    5336*b70*b357 + 15088*b70*b358 + 15088*b70*b359 + 1104*b70*b360 + 13064*b70
    *b361 + 1472*b70*b362 + 14168*b70*b363 + 13616*b70*b364 + 5520*b70*b365 + 
    16376*b70*b366 + 13984*b70*b367 + 13984*b70*b368 + 7360*b70*b369 + 10304*
    b70*b370 + 184*b70*b371 + 9200*b70*b372 + 736*b70*b373 + 6624*b70*b374 + 
    4968*b70*b375 + 15640*b70*b376 + 3276*b70*b377 + 3654*b70*b379 + 10332*b70*
    b380 + 10332*b70*b381 + 756*b70*b382 + 8946*b70*b383 + 1008*b70*b384 + 9702
    *b70*b385 + 9324*b70*b386 + 3780*b70*b387 + 11214*b70*b388 + 9576*b70*b389
     + 9576*b70*b390 + 5040*b70*b391 + 7056*b70*b392 + 126*b70*b393 + 6300*b70*
    b394 + 504*b70*b395 + 4536*b70*b396 + 3402*b70*b397 + 10710*b70*b398 + 676*
    b70*b399 + 754*b70*b401 + 2132*b70*b402 + 2132*b70*b403 + 156*b70*b404 + 
    1846*b70*b405 + 208*b70*b406 + 2002*b70*b407 + 1924*b70*b408 + 780*b70*b409
     + 2314*b70*b410 + 1976*b70*b411 + 1976*b70*b412 + 1040*b70*b413 + 1456*b70
    *b414 + 26*b70*b415 + 1300*b70*b416 + 104*b70*b417 + 936*b70*b418 + 702*b70
    *b419 + 2210*b70*b420 + 2340*b70*b421 + 2610*b70*b423 + 7380*b70*b424 + 
    7380*b70*b425 + 540*b70*b426 + 6390*b70*b427 + 720*b70*b428 + 6930*b70*b429
     + 6660*b70*b430 + 2700*b70*b431 + 8010*b70*b432 + 6840*b70*b433 + 6840*b70
    *b434 + 3600*b70*b435 + 5040*b70*b436 + 90*b70*b437 + 4500*b70*b438 + 360*
    b70*b439 + 3240*b70*b440 + 2430*b70*b441 + 7650*b70*b442 + 1144*b70*b443 + 
    1276*b70*b445 + 3608*b70*b446 + 3608*b70*b447 + 264*b70*b448 + 3124*b70*
    b449 + 352*b70*b450 + 3388*b70*b451 + 3256*b70*b452 + 1320*b70*b453 + 3916*
    b70*b454 + 3344*b70*b455 + 3344*b70*b456 + 1760*b70*b457 + 2464*b70*b458 + 
    44*b70*b459 + 2200*b70*b460 + 176*b70*b461 + 1584*b70*b462 + 1188*b70*b463
     + 3740*b70*b464 + 3588*b70*b465 + 4002*b70*b467 + 11316*b70*b468 + 11316*
    b70*b469 + 828*b70*b470 + 9798*b70*b471 + 1104*b70*b472 + 10626*b70*b473 + 
    10212*b70*b474 + 4140*b70*b475 + 12282*b70*b476 + 10488*b70*b477 + 10488*
    b70*b478 + 5520*b70*b479 + 7728*b70*b480 + 138*b70*b481 + 6900*b70*b482 + 
    552*b70*b483 + 4968*b70*b484 + 3726*b70*b485 + 11730*b70*b486 + 3640*b70*
    b487 + 4060*b70*b489 + 11480*b70*b490 + 11480*b70*b491 + 840*b70*b492 + 
    9940*b70*b493 + 1120*b70*b494 + 10780*b70*b495 + 10360*b70*b496 + 4200*b70*
    b497 + 12460*b70*b498 + 10640*b70*b499 + 10640*b70*b500 + 5600*b70*b501 + 
    7840*b70*b502 + 140*b70*b503 + 7000*b70*b504 + 560*b70*b505 + 5040*b70*b506
     + 3780*b70*b507 + 11900*b70*b508 + 936*b70*b509 + 1044*b70*b511 + 2952*b70
    *b512 + 2952*b70*b513 + 216*b70*b514 + 2556*b70*b515 + 288*b70*b516 + 2772*
    b70*b517 + 2664*b70*b518 + 1080*b70*b519 + 3204*b70*b520 + 2736*b70*b521 + 
    2736*b70*b522 + 1440*b70*b523 + 2016*b70*b524 + 36*b70*b525 + 1800*b70*b526
     + 144*b70*b527 + 1296*b70*b528 + 972*b70*b529 + 3060*b70*b530 + 3610*b70*
    b531 + 3534*b70*b532 + 76*b70*b533 + 380*b70*b534 + 372*b70*b535 + 8*b70*
    b536 + 2280*b70*b540 + 2232*b70*b541 + 48*b70*b542 + 17290*b70*b543 + 16926
    *b70*b544 + 364*b70*b545 + 11970*b70*b546 + 11718*b70*b547 + 252*b70*b548
     + 13300*b70*b549 + 13020*b70*b550 + 280*b70*b551 + 190*b70*b552 + 186*b70*
    b553 + 4*b70*b554 + 4180*b70*b555 + 4092*b70*b556 + 88*b70*b557 + 9310*b70*
    b558 + 9114*b70*b559 + 196*b70*b560 + 4560*b70*b561 + 4464*b70*b562 + 96*
    b70*b563 + 11020*b70*b564 + 10788*b70*b565 + 232*b70*b566 + 11780*b70*b567
     + 11532*b70*b568 + 248*b70*b569 + 9310*b70*b570 + 9114*b70*b571 + 196*b70*
    b572 + 17860*b70*b573 + 17484*b70*b574 + 376*b70*b575 + 17480*b70*b576 + 
    17112*b70*b577 + 368*b70*b578 + 11970*b70*b579 + 11718*b70*b580 + 252*b70*
    b581 + 2470*b70*b582 + 2418*b70*b583 + 52*b70*b584 + 8550*b70*b585 + 8370*
    b70*b586 + 180*b70*b587 + 4180*b70*b588 + 4092*b70*b589 + 88*b70*b590 + 
    13110*b70*b591 + 12834*b70*b592 + 276*b70*b593 + 13300*b70*b594 + 13020*b70
    *b595 + 280*b70*b596 + 3420*b70*b597 + 3348*b70*b598 + 72*b70*b599 + 1856*
    b70*b601 + 5248*b70*b602 + 5248*b70*b603 + 384*b70*b604 + 4544*b70*b605 + 
    512*b70*b606 + 4928*b70*b607 + 4736*b70*b608 + 1920*b70*b609 + 5696*b70*
    b610 + 4864*b70*b611 + 4864*b70*b612 + 2560*b70*b613 + 5952*b70*b614 + 3584
    *b70*b615 + 64*b70*b616 + 3200*b70*b617 + 256*b70*b618 + 2304*b70*b619 + 
    1728*b70*b620 + 5440*b70*b621 + 128*b70*b622 + 1664*b70*b623 + 11400*b70*
    b624 + 11160*b70*b625 + 240*b70*b626 + 2184*b71*b91 + 696*b71*b92 + 24*b71*
    b94 + 360*b71*b95 + 264*b71*b96 + 840*b71*b97 + 264*b71*b98 + 480*b71*b99
     + 504*b71*b100 + 1464*b71*b101 + 1920*b71*b102 + 1392*b71*b103 + 504*b71*
    b104 + 1824*b71*b105 + 1056*b71*b106 + 2040*b71*b107 + 2256*b71*b108 + 2160
    *b71*b109 + 1224*b71*b110 + 72*b71*b111 + 1152*b71*b112 + 16562*b71*b113 + 
    5278*b71*b114 + 182*b71*b116 + 2730*b71*b117 + 2002*b71*b118 + 6370*b71*
    b119 + 2002*b71*b120 + 3640*b71*b121 + 3822*b71*b122 + 11102*b71*b123 + 
    14560*b71*b124 + 10556*b71*b125 + 3822*b71*b126 + 13832*b71*b127 + 8008*b71
    *b128 + 15470*b71*b129 + 17108*b71*b130 + 16380*b71*b131 + 9282*b71*b132 + 
    546*b71*b133 + 8736*b71*b134 + 11466*b71*b135 + 3654*b71*b136 + 126*b71*
    b138 + 1890*b71*b139 + 1386*b71*b140 + 4410*b71*b141 + 1386*b71*b142 + 2520
    *b71*b143 + 2646*b71*b144 + 7686*b71*b145 + 10080*b71*b146 + 7308*b71*b147
     + 2646*b71*b148 + 9576*b71*b149 + 5544*b71*b150 + 10710*b71*b151 + 11844*
    b71*b152 + 11340*b71*b153 + 6426*b71*b154 + 378*b71*b155 + 6048*b71*b156 + 
    12740*b71*b157 + 4060*b71*b158 + 140*b71*b160 + 2100*b71*b161 + 1540*b71*
    b162 + 4900*b71*b163 + 1540*b71*b164 + 2800*b71*b165 + 2940*b71*b166 + 8540
    *b71*b167 + 11200*b71*b168 + 8120*b71*b169 + 2940*b71*b170 + 10640*b71*b171
     + 6160*b71*b172 + 11900*b71*b173 + 13160*b71*b174 + 12600*b71*b175 + 7140*
    b71*b176 + 420*b71*b177 + 6720*b71*b178 + 182*b71*b179 + 58*b71*b180 + 2*
    b71*b182 + 30*b71*b183 + 22*b71*b184 + 70*b71*b185 + 22*b71*b186 + 40*b71*
    b187 + 42*b71*b188 + 122*b71*b189 + 160*b71*b190 + 116*b71*b191 + 42*b71*
    b192 + 152*b71*b193 + 88*b71*b194 + 170*b71*b195 + 188*b71*b196 + 180*b71*
    b197 + 102*b71*b198 + 6*b71*b199 + 96*b71*b200 + 4004*b71*b201 + 1276*b71*
    b202 + 44*b71*b204 + 660*b71*b205 + 484*b71*b206 + 1540*b71*b207 + 484*b71*
    b208 + 880*b71*b209 + 924*b71*b210 + 2684*b71*b211 + 3520*b71*b212 + 2552*
    b71*b213 + 924*b71*b214 + 3344*b71*b215 + 1936*b71*b216 + 3740*b71*b217 + 
    4136*b71*b218 + 3960*b71*b219 + 2244*b71*b220 + 132*b71*b221 + 2112*b71*
    b222 + 8918*b71*b223 + 2842*b71*b224 + 98*b71*b226 + 1470*b71*b227 + 1078*
    b71*b228 + 3430*b71*b229 + 1078*b71*b230 + 1960*b71*b231 + 2058*b71*b232 + 
    5978*b71*b233 + 7840*b71*b234 + 5684*b71*b235 + 2058*b71*b236 + 7448*b71*
    b237 + 4312*b71*b238 + 8330*b71*b239 + 9212*b71*b240 + 8820*b71*b241 + 4998
    *b71*b242 + 294*b71*b243 + 4704*b71*b244 + 4368*b71*b245 + 1392*b71*b246 + 
    48*b71*b248 + 720*b71*b249 + 528*b71*b250 + 1680*b71*b251 + 528*b71*b252 + 
    960*b71*b253 + 1008*b71*b254 + 2928*b71*b255 + 3840*b71*b256 + 2784*b71*
    b257 + 1008*b71*b258 + 3648*b71*b259 + 2112*b71*b260 + 4080*b71*b261 + 4512
    *b71*b262 + 4320*b71*b263 + 2448*b71*b264 + 144*b71*b265 + 2304*b71*b266 + 
    10556*b71*b267 + 3364*b71*b268 + 116*b71*b270 + 1740*b71*b271 + 1276*b71*
    b272 + 4060*b71*b273 + 1276*b71*b274 + 2320*b71*b275 + 2436*b71*b276 + 7076
    *b71*b277 + 9280*b71*b278 + 6728*b71*b279 + 2436*b71*b280 + 8816*b71*b281
     + 5104*b71*b282 + 9860*b71*b283 + 10904*b71*b284 + 10440*b71*b285 + 5916*
    b71*b286 + 348*b71*b287 + 5568*b71*b288 + 11284*b71*b289 + 3596*b71*b290 + 
    124*b71*b292 + 1860*b71*b293 + 1364*b71*b294 + 4340*b71*b295 + 1364*b71*
    b296 + 2480*b71*b297 + 2604*b71*b298 + 7564*b71*b299 + 9920*b71*b300 + 7192
    *b71*b301 + 2604*b71*b302 + 9424*b71*b303 + 5456*b71*b304 + 10540*b71*b305
     + 11656*b71*b306 + 11160*b71*b307 + 6324*b71*b308 + 372*b71*b309 + 5952*
    b71*b310 + 8918*b71*b311 + 2842*b71*b312 + 98*b71*b314 + 1470*b71*b315 + 
    1078*b71*b316 + 3430*b71*b317 + 1078*b71*b318 + 1960*b71*b319 + 2058*b71*
    b320 + 5978*b71*b321 + 7840*b71*b322 + 5684*b71*b323 + 2058*b71*b324 + 7448
    *b71*b325 + 4312*b71*b326 + 8330*b71*b327 + 9212*b71*b328 + 8820*b71*b329
     + 4998*b71*b330 + 294*b71*b331 + 4704*b71*b332 + 17108*b71*b333 + 5452*b71
    *b334 + 188*b71*b336 + 2820*b71*b337 + 2068*b71*b338 + 6580*b71*b339 + 2068
    *b71*b340 + 3760*b71*b341 + 3948*b71*b342 + 11468*b71*b343 + 15040*b71*b344
     + 10904*b71*b345 + 3948*b71*b346 + 14288*b71*b347 + 8272*b71*b348 + 15980*
    b71*b349 + 17672*b71*b350 + 16920*b71*b351 + 9588*b71*b352 + 564*b71*b353
     + 9024*b71*b354 + 16744*b71*b355 + 5336*b71*b356 + 184*b71*b358 + 2760*b71
    *b359 + 2024*b71*b360 + 6440*b71*b361 + 2024*b71*b362 + 3680*b71*b363 + 
    3864*b71*b364 + 11224*b71*b365 + 14720*b71*b366 + 10672*b71*b367 + 3864*b71
    *b368 + 13984*b71*b369 + 8096*b71*b370 + 15640*b71*b371 + 17296*b71*b372 + 
    16560*b71*b373 + 9384*b71*b374 + 552*b71*b375 + 8832*b71*b376 + 11466*b71*
    b377 + 3654*b71*b378 + 126*b71*b380 + 1890*b71*b381 + 1386*b71*b382 + 4410*
    b71*b383 + 1386*b71*b384 + 2520*b71*b385 + 2646*b71*b386 + 7686*b71*b387 + 
    10080*b71*b388 + 7308*b71*b389 + 2646*b71*b390 + 9576*b71*b391 + 5544*b71*
    b392 + 10710*b71*b393 + 11844*b71*b394 + 11340*b71*b395 + 6426*b71*b396 + 
    378*b71*b397 + 6048*b71*b398 + 2366*b71*b399 + 754*b71*b400 + 26*b71*b402
     + 390*b71*b403 + 286*b71*b404 + 910*b71*b405 + 286*b71*b406 + 520*b71*b407
     + 546*b71*b408 + 1586*b71*b409 + 2080*b71*b410 + 1508*b71*b411 + 546*b71*
    b412 + 1976*b71*b413 + 1144*b71*b414 + 2210*b71*b415 + 2444*b71*b416 + 2340
    *b71*b417 + 1326*b71*b418 + 78*b71*b419 + 1248*b71*b420 + 8190*b71*b421 + 
    2610*b71*b422 + 90*b71*b424 + 1350*b71*b425 + 990*b71*b426 + 3150*b71*b427
     + 990*b71*b428 + 1800*b71*b429 + 1890*b71*b430 + 5490*b71*b431 + 7200*b71*
    b432 + 5220*b71*b433 + 1890*b71*b434 + 6840*b71*b435 + 3960*b71*b436 + 7650
    *b71*b437 + 8460*b71*b438 + 8100*b71*b439 + 4590*b71*b440 + 270*b71*b441 + 
    4320*b71*b442 + 4004*b71*b443 + 1276*b71*b444 + 44*b71*b446 + 660*b71*b447
     + 484*b71*b448 + 1540*b71*b449 + 484*b71*b450 + 880*b71*b451 + 924*b71*
    b452 + 2684*b71*b453 + 3520*b71*b454 + 2552*b71*b455 + 924*b71*b456 + 3344*
    b71*b457 + 1936*b71*b458 + 3740*b71*b459 + 4136*b71*b460 + 3960*b71*b461 + 
    2244*b71*b462 + 132*b71*b463 + 2112*b71*b464 + 12558*b71*b465 + 4002*b71*
    b466 + 138*b71*b468 + 2070*b71*b469 + 1518*b71*b470 + 4830*b71*b471 + 1518*
    b71*b472 + 2760*b71*b473 + 2898*b71*b474 + 8418*b71*b475 + 11040*b71*b476
     + 8004*b71*b477 + 2898*b71*b478 + 10488*b71*b479 + 6072*b71*b480 + 11730*
    b71*b481 + 12972*b71*b482 + 12420*b71*b483 + 7038*b71*b484 + 414*b71*b485
     + 6624*b71*b486 + 12740*b71*b487 + 4060*b71*b488 + 140*b71*b490 + 2100*b71
    *b491 + 1540*b71*b492 + 4900*b71*b493 + 1540*b71*b494 + 2800*b71*b495 + 
    2940*b71*b496 + 8540*b71*b497 + 11200*b71*b498 + 8120*b71*b499 + 2940*b71*
    b500 + 10640*b71*b501 + 6160*b71*b502 + 11900*b71*b503 + 13160*b71*b504 + 
    12600*b71*b505 + 7140*b71*b506 + 420*b71*b507 + 6720*b71*b508 + 3276*b71*
    b509 + 1044*b71*b510 + 36*b71*b512 + 540*b71*b513 + 396*b71*b514 + 1260*b71
    *b515 + 396*b71*b516 + 720*b71*b517 + 756*b71*b518 + 2196*b71*b519 + 2880*
    b71*b520 + 2088*b71*b521 + 756*b71*b522 + 2736*b71*b523 + 1584*b71*b524 + 
    3060*b71*b525 + 3384*b71*b526 + 3240*b71*b527 + 1836*b71*b528 + 108*b71*
    b529 + 1728*b71*b530 + 3116*b71*b531 + 2736*b71*b532 + 1102*b71*b533 + 328*
    b71*b534 + 288*b71*b535 + 116*b71*b536 + 1968*b71*b540 + 1728*b71*b541 + 
    696*b71*b542 + 14924*b71*b543 + 13104*b71*b544 + 5278*b71*b545 + 10332*b71*
    b546 + 9072*b71*b547 + 3654*b71*b548 + 11480*b71*b549 + 10080*b71*b550 + 
    4060*b71*b551 + 164*b71*b552 + 144*b71*b553 + 58*b71*b554 + 3608*b71*b555
     + 3168*b71*b556 + 1276*b71*b557 + 8036*b71*b558 + 7056*b71*b559 + 2842*b71
    *b560 + 3936*b71*b561 + 3456*b71*b562 + 1392*b71*b563 + 9512*b71*b564 + 
    8352*b71*b565 + 3364*b71*b566 + 10168*b71*b567 + 8928*b71*b568 + 3596*b71*
    b569 + 8036*b71*b570 + 7056*b71*b571 + 2842*b71*b572 + 15416*b71*b573 + 
    13536*b71*b574 + 5452*b71*b575 + 15088*b71*b576 + 13248*b71*b577 + 5336*b71
    *b578 + 10332*b71*b579 + 9072*b71*b580 + 3654*b71*b581 + 2132*b71*b582 + 
    1872*b71*b583 + 754*b71*b584 + 7380*b71*b585 + 6480*b71*b586 + 2610*b71*
    b587 + 3608*b71*b588 + 3168*b71*b589 + 1276*b71*b590 + 11316*b71*b591 + 
    9936*b71*b592 + 4002*b71*b593 + 11480*b71*b594 + 10080*b71*b595 + 4060*b71*
    b596 + 2952*b71*b597 + 2592*b71*b598 + 1044*b71*b599 + 1856*b71*b600 + 64*
    b71*b602 + 960*b71*b603 + 704*b71*b604 + 2240*b71*b605 + 704*b71*b606 + 
    1280*b71*b607 + 1344*b71*b608 + 3904*b71*b609 + 5120*b71*b610 + 3712*b71*
    b611 + 1344*b71*b612 + 4864*b71*b613 + 4608*b71*b614 + 2816*b71*b615 + 5440
    *b71*b616 + 6016*b71*b617 + 5760*b71*b618 + 3264*b71*b619 + 192*b71*b620 + 
    3072*b71*b621 + 1856*b71*b622 + 5824*b71*b623 + 9840*b71*b624 + 8640*b71*
    b625 + 3480*b71*b626 + 264*b72*b91 + 1968*b72*b92 + 24*b72*b93 + 2160*b72*
    b95 + 1584*b72*b96 + 984*b72*b97 + 360*b72*b98 + 1992*b72*b99 + 2304*b72*
    b100 + 1776*b72*b101 + 1080*b72*b102 + 1560*b72*b103 + 960*b72*b104 + 1296*
    b72*b105 + 336*b72*b106 + 1704*b72*b107 + 1848*b72*b108 + 864*b72*b109 + 
    1272*b72*b110 + 888*b72*b111 + 624*b72*b112 + 2002*b72*b113 + 14924*b72*
    b114 + 182*b72*b115 + 16380*b72*b117 + 12012*b72*b118 + 7462*b72*b119 + 
    2730*b72*b120 + 15106*b72*b121 + 17472*b72*b122 + 13468*b72*b123 + 8190*b72
    *b124 + 11830*b72*b125 + 7280*b72*b126 + 9828*b72*b127 + 2548*b72*b128 + 
    12922*b72*b129 + 14014*b72*b130 + 6552*b72*b131 + 9646*b72*b132 + 6734*b72*
    b133 + 4732*b72*b134 + 1386*b72*b135 + 10332*b72*b136 + 126*b72*b137 + 
    11340*b72*b139 + 8316*b72*b140 + 5166*b72*b141 + 1890*b72*b142 + 10458*b72*
    b143 + 12096*b72*b144 + 9324*b72*b145 + 5670*b72*b146 + 8190*b72*b147 + 
    5040*b72*b148 + 6804*b72*b149 + 1764*b72*b150 + 8946*b72*b151 + 9702*b72*
    b152 + 4536*b72*b153 + 6678*b72*b154 + 4662*b72*b155 + 3276*b72*b156 + 1540
    *b72*b157 + 11480*b72*b158 + 140*b72*b159 + 12600*b72*b161 + 9240*b72*b162
     + 5740*b72*b163 + 2100*b72*b164 + 11620*b72*b165 + 13440*b72*b166 + 10360*
    b72*b167 + 6300*b72*b168 + 9100*b72*b169 + 5600*b72*b170 + 7560*b72*b171 + 
    1960*b72*b172 + 9940*b72*b173 + 10780*b72*b174 + 5040*b72*b175 + 7420*b72*
    b176 + 5180*b72*b177 + 3640*b72*b178 + 22*b72*b179 + 164*b72*b180 + 2*b72*
    b181 + 180*b72*b183 + 132*b72*b184 + 82*b72*b185 + 30*b72*b186 + 166*b72*
    b187 + 192*b72*b188 + 148*b72*b189 + 90*b72*b190 + 130*b72*b191 + 80*b72*
    b192 + 108*b72*b193 + 28*b72*b194 + 142*b72*b195 + 154*b72*b196 + 72*b72*
    b197 + 106*b72*b198 + 74*b72*b199 + 52*b72*b200 + 484*b72*b201 + 3608*b72*
    b202 + 44*b72*b203 + 3960*b72*b205 + 2904*b72*b206 + 1804*b72*b207 + 660*
    b72*b208 + 3652*b72*b209 + 4224*b72*b210 + 3256*b72*b211 + 1980*b72*b212 + 
    2860*b72*b213 + 1760*b72*b214 + 2376*b72*b215 + 616*b72*b216 + 3124*b72*
    b217 + 3388*b72*b218 + 1584*b72*b219 + 2332*b72*b220 + 1628*b72*b221 + 1144
    *b72*b222 + 1078*b72*b223 + 8036*b72*b224 + 98*b72*b225 + 8820*b72*b227 + 
    6468*b72*b228 + 4018*b72*b229 + 1470*b72*b230 + 8134*b72*b231 + 9408*b72*
    b232 + 7252*b72*b233 + 4410*b72*b234 + 6370*b72*b235 + 3920*b72*b236 + 5292
    *b72*b237 + 1372*b72*b238 + 6958*b72*b239 + 7546*b72*b240 + 3528*b72*b241
     + 5194*b72*b242 + 3626*b72*b243 + 2548*b72*b244 + 528*b72*b245 + 3936*b72*
    b246 + 48*b72*b247 + 4320*b72*b249 + 3168*b72*b250 + 1968*b72*b251 + 720*
    b72*b252 + 3984*b72*b253 + 4608*b72*b254 + 3552*b72*b255 + 2160*b72*b256 + 
    3120*b72*b257 + 1920*b72*b258 + 2592*b72*b259 + 672*b72*b260 + 3408*b72*
    b261 + 3696*b72*b262 + 1728*b72*b263 + 2544*b72*b264 + 1776*b72*b265 + 1248
    *b72*b266 + 1276*b72*b267 + 9512*b72*b268 + 116*b72*b269 + 10440*b72*b271
     + 7656*b72*b272 + 4756*b72*b273 + 1740*b72*b274 + 9628*b72*b275 + 11136*
    b72*b276 + 8584*b72*b277 + 5220*b72*b278 + 7540*b72*b279 + 4640*b72*b280 + 
    6264*b72*b281 + 1624*b72*b282 + 8236*b72*b283 + 8932*b72*b284 + 4176*b72*
    b285 + 6148*b72*b286 + 4292*b72*b287 + 3016*b72*b288 + 1364*b72*b289 + 
    10168*b72*b290 + 124*b72*b291 + 11160*b72*b293 + 8184*b72*b294 + 5084*b72*
    b295 + 1860*b72*b296 + 10292*b72*b297 + 11904*b72*b298 + 9176*b72*b299 + 
    5580*b72*b300 + 8060*b72*b301 + 4960*b72*b302 + 6696*b72*b303 + 1736*b72*
    b304 + 8804*b72*b305 + 9548*b72*b306 + 4464*b72*b307 + 6572*b72*b308 + 4588
    *b72*b309 + 3224*b72*b310 + 1078*b72*b311 + 8036*b72*b312 + 98*b72*b313 + 
    8820*b72*b315 + 6468*b72*b316 + 4018*b72*b317 + 1470*b72*b318 + 8134*b72*
    b319 + 9408*b72*b320 + 7252*b72*b321 + 4410*b72*b322 + 6370*b72*b323 + 3920
    *b72*b324 + 5292*b72*b325 + 1372*b72*b326 + 6958*b72*b327 + 7546*b72*b328
     + 3528*b72*b329 + 5194*b72*b330 + 3626*b72*b331 + 2548*b72*b332 + 2068*b72
    *b333 + 15416*b72*b334 + 188*b72*b335 + 16920*b72*b337 + 12408*b72*b338 + 
    7708*b72*b339 + 2820*b72*b340 + 15604*b72*b341 + 18048*b72*b342 + 13912*b72
    *b343 + 8460*b72*b344 + 12220*b72*b345 + 7520*b72*b346 + 10152*b72*b347 + 
    2632*b72*b348 + 13348*b72*b349 + 14476*b72*b350 + 6768*b72*b351 + 9964*b72*
    b352 + 6956*b72*b353 + 4888*b72*b354 + 2024*b72*b355 + 15088*b72*b356 + 184
    *b72*b357 + 16560*b72*b359 + 12144*b72*b360 + 7544*b72*b361 + 2760*b72*b362
     + 15272*b72*b363 + 17664*b72*b364 + 13616*b72*b365 + 8280*b72*b366 + 11960
    *b72*b367 + 7360*b72*b368 + 9936*b72*b369 + 2576*b72*b370 + 13064*b72*b371
     + 14168*b72*b372 + 6624*b72*b373 + 9752*b72*b374 + 6808*b72*b375 + 4784*
    b72*b376 + 1386*b72*b377 + 10332*b72*b378 + 126*b72*b379 + 11340*b72*b381
     + 8316*b72*b382 + 5166*b72*b383 + 1890*b72*b384 + 10458*b72*b385 + 12096*
    b72*b386 + 9324*b72*b387 + 5670*b72*b388 + 8190*b72*b389 + 5040*b72*b390 + 
    6804*b72*b391 + 1764*b72*b392 + 8946*b72*b393 + 9702*b72*b394 + 4536*b72*
    b395 + 6678*b72*b396 + 4662*b72*b397 + 3276*b72*b398 + 286*b72*b399 + 2132*
    b72*b400 + 26*b72*b401 + 2340*b72*b403 + 1716*b72*b404 + 1066*b72*b405 + 
    390*b72*b406 + 2158*b72*b407 + 2496*b72*b408 + 1924*b72*b409 + 1170*b72*
    b410 + 1690*b72*b411 + 1040*b72*b412 + 1404*b72*b413 + 364*b72*b414 + 1846*
    b72*b415 + 2002*b72*b416 + 936*b72*b417 + 1378*b72*b418 + 962*b72*b419 + 
    676*b72*b420 + 990*b72*b421 + 7380*b72*b422 + 90*b72*b423 + 8100*b72*b425
     + 5940*b72*b426 + 3690*b72*b427 + 1350*b72*b428 + 7470*b72*b429 + 8640*b72
    *b430 + 6660*b72*b431 + 4050*b72*b432 + 5850*b72*b433 + 3600*b72*b434 + 
    4860*b72*b435 + 1260*b72*b436 + 6390*b72*b437 + 6930*b72*b438 + 3240*b72*
    b439 + 4770*b72*b440 + 3330*b72*b441 + 2340*b72*b442 + 484*b72*b443 + 3608*
    b72*b444 + 44*b72*b445 + 3960*b72*b447 + 2904*b72*b448 + 1804*b72*b449 + 
    660*b72*b450 + 3652*b72*b451 + 4224*b72*b452 + 3256*b72*b453 + 1980*b72*
    b454 + 2860*b72*b455 + 1760*b72*b456 + 2376*b72*b457 + 616*b72*b458 + 3124*
    b72*b459 + 3388*b72*b460 + 1584*b72*b461 + 2332*b72*b462 + 1628*b72*b463 + 
    1144*b72*b464 + 1518*b72*b465 + 11316*b72*b466 + 138*b72*b467 + 12420*b72*
    b469 + 9108*b72*b470 + 5658*b72*b471 + 2070*b72*b472 + 11454*b72*b473 + 
    13248*b72*b474 + 10212*b72*b475 + 6210*b72*b476 + 8970*b72*b477 + 5520*b72*
    b478 + 7452*b72*b479 + 1932*b72*b480 + 9798*b72*b481 + 10626*b72*b482 + 
    4968*b72*b483 + 7314*b72*b484 + 5106*b72*b485 + 3588*b72*b486 + 1540*b72*
    b487 + 11480*b72*b488 + 140*b72*b489 + 12600*b72*b491 + 9240*b72*b492 + 
    5740*b72*b493 + 2100*b72*b494 + 11620*b72*b495 + 13440*b72*b496 + 10360*b72
    *b497 + 6300*b72*b498 + 9100*b72*b499 + 5600*b72*b500 + 7560*b72*b501 + 
    1960*b72*b502 + 9940*b72*b503 + 10780*b72*b504 + 5040*b72*b505 + 7420*b72*
    b506 + 5180*b72*b507 + 3640*b72*b508 + 396*b72*b509 + 2952*b72*b510 + 36*
    b72*b511 + 3240*b72*b513 + 2376*b72*b514 + 1476*b72*b515 + 540*b72*b516 + 
    2988*b72*b517 + 3456*b72*b518 + 2664*b72*b519 + 1620*b72*b520 + 2340*b72*
    b521 + 1440*b72*b522 + 1944*b72*b523 + 504*b72*b524 + 2556*b72*b525 + 2772*
    b72*b526 + 1296*b72*b527 + 1908*b72*b528 + 1332*b72*b529 + 936*b72*b530 + 
    2128*b72*b531 + 3154*b72*b532 + 3306*b72*b533 + 224*b72*b534 + 332*b72*b535
     + 348*b72*b536 + 1344*b72*b540 + 1992*b72*b541 + 2088*b72*b542 + 10192*b72
    *b543 + 15106*b72*b544 + 15834*b72*b545 + 7056*b72*b546 + 10458*b72*b547 + 
    10962*b72*b548 + 7840*b72*b549 + 11620*b72*b550 + 12180*b72*b551 + 112*b72*
    b552 + 166*b72*b553 + 174*b72*b554 + 2464*b72*b555 + 3652*b72*b556 + 3828*
    b72*b557 + 5488*b72*b558 + 8134*b72*b559 + 8526*b72*b560 + 2688*b72*b561 + 
    3984*b72*b562 + 4176*b72*b563 + 6496*b72*b564 + 9628*b72*b565 + 10092*b72*
    b566 + 6944*b72*b567 + 10292*b72*b568 + 10788*b72*b569 + 5488*b72*b570 + 
    8134*b72*b571 + 8526*b72*b572 + 10528*b72*b573 + 15604*b72*b574 + 16356*b72
    *b575 + 10304*b72*b576 + 15272*b72*b577 + 16008*b72*b578 + 7056*b72*b579 + 
    10458*b72*b580 + 10962*b72*b581 + 1456*b72*b582 + 2158*b72*b583 + 2262*b72*
    b584 + 5040*b72*b585 + 7470*b72*b586 + 7830*b72*b587 + 2464*b72*b588 + 3652
    *b72*b589 + 3828*b72*b590 + 7728*b72*b591 + 11454*b72*b592 + 12006*b72*b593
     + 7840*b72*b594 + 11620*b72*b595 + 12180*b72*b596 + 2016*b72*b597 + 2988*
    b72*b598 + 3132*b72*b599 + 5248*b72*b600 + 64*b72*b601 + 5760*b72*b603 + 
    4224*b72*b604 + 2624*b72*b605 + 960*b72*b606 + 5312*b72*b607 + 6144*b72*
    b608 + 4736*b72*b609 + 2880*b72*b610 + 4160*b72*b611 + 2560*b72*b612 + 3456
    *b72*b613 + 5312*b72*b614 + 896*b72*b615 + 4544*b72*b616 + 4928*b72*b617 + 
    2304*b72*b618 + 3392*b72*b619 + 2368*b72*b620 + 1664*b72*b621 + 5568*b72*
    b622 + 704*b72*b623 + 6720*b72*b624 + 9960*b72*b625 + 10440*b72*b626 + 840*
    b73*b91 + 1968*b73*b92 + 360*b73*b93 + 2160*b73*b94 + 1824*b73*b96 + 2184*
    b73*b97 + 312*b73*b98 + 696*b73*b99 + 264*b73*b100 + 1848*b73*b101 + 768*
    b73*b102 + 2088*b73*b103 + 1608*b73*b104 + 2256*b73*b105 + 48*b73*b106 + 
    240*b73*b107 + 2376*b73*b108 + 1344*b73*b109 + 1680*b73*b110 + 2376*b73*
    b111 + 1440*b73*b112 + 6370*b73*b113 + 14924*b73*b114 + 2730*b73*b115 + 
    16380*b73*b116 + 13832*b73*b118 + 16562*b73*b119 + 2366*b73*b120 + 5278*b73
    *b121 + 2002*b73*b122 + 14014*b73*b123 + 5824*b73*b124 + 15834*b73*b125 + 
    12194*b73*b126 + 17108*b73*b127 + 364*b73*b128 + 1820*b73*b129 + 18018*b73*
    b130 + 10192*b73*b131 + 12740*b73*b132 + 18018*b73*b133 + 10920*b73*b134 + 
    4410*b73*b135 + 10332*b73*b136 + 1890*b73*b137 + 11340*b73*b138 + 9576*b73*
    b140 + 11466*b73*b141 + 1638*b73*b142 + 3654*b73*b143 + 1386*b73*b144 + 
    9702*b73*b145 + 4032*b73*b146 + 10962*b73*b147 + 8442*b73*b148 + 11844*b73*
    b149 + 252*b73*b150 + 1260*b73*b151 + 12474*b73*b152 + 7056*b73*b153 + 8820
    *b73*b154 + 12474*b73*b155 + 7560*b73*b156 + 4900*b73*b157 + 11480*b73*b158
     + 2100*b73*b159 + 12600*b73*b160 + 10640*b73*b162 + 12740*b73*b163 + 1820*
    b73*b164 + 4060*b73*b165 + 1540*b73*b166 + 10780*b73*b167 + 4480*b73*b168
     + 12180*b73*b169 + 9380*b73*b170 + 13160*b73*b171 + 280*b73*b172 + 1400*
    b73*b173 + 13860*b73*b174 + 7840*b73*b175 + 9800*b73*b176 + 13860*b73*b177
     + 8400*b73*b178 + 70*b73*b179 + 164*b73*b180 + 30*b73*b181 + 180*b73*b182
     + 152*b73*b184 + 182*b73*b185 + 26*b73*b186 + 58*b73*b187 + 22*b73*b188 + 
    154*b73*b189 + 64*b73*b190 + 174*b73*b191 + 134*b73*b192 + 188*b73*b193 + 4
    *b73*b194 + 20*b73*b195 + 198*b73*b196 + 112*b73*b197 + 140*b73*b198 + 198*
    b73*b199 + 120*b73*b200 + 1540*b73*b201 + 3608*b73*b202 + 660*b73*b203 + 
    3960*b73*b204 + 3344*b73*b206 + 4004*b73*b207 + 572*b73*b208 + 1276*b73*
    b209 + 484*b73*b210 + 3388*b73*b211 + 1408*b73*b212 + 3828*b73*b213 + 2948*
    b73*b214 + 4136*b73*b215 + 88*b73*b216 + 440*b73*b217 + 4356*b73*b218 + 
    2464*b73*b219 + 3080*b73*b220 + 4356*b73*b221 + 2640*b73*b222 + 3430*b73*
    b223 + 8036*b73*b224 + 1470*b73*b225 + 8820*b73*b226 + 7448*b73*b228 + 8918
    *b73*b229 + 1274*b73*b230 + 2842*b73*b231 + 1078*b73*b232 + 7546*b73*b233
     + 3136*b73*b234 + 8526*b73*b235 + 6566*b73*b236 + 9212*b73*b237 + 196*b73*
    b238 + 980*b73*b239 + 9702*b73*b240 + 5488*b73*b241 + 6860*b73*b242 + 9702*
    b73*b243 + 5880*b73*b244 + 1680*b73*b245 + 3936*b73*b246 + 720*b73*b247 + 
    4320*b73*b248 + 3648*b73*b250 + 4368*b73*b251 + 624*b73*b252 + 1392*b73*
    b253 + 528*b73*b254 + 3696*b73*b255 + 1536*b73*b256 + 4176*b73*b257 + 3216*
    b73*b258 + 4512*b73*b259 + 96*b73*b260 + 480*b73*b261 + 4752*b73*b262 + 
    2688*b73*b263 + 3360*b73*b264 + 4752*b73*b265 + 2880*b73*b266 + 4060*b73*
    b267 + 9512*b73*b268 + 1740*b73*b269 + 10440*b73*b270 + 8816*b73*b272 + 
    10556*b73*b273 + 1508*b73*b274 + 3364*b73*b275 + 1276*b73*b276 + 8932*b73*
    b277 + 3712*b73*b278 + 10092*b73*b279 + 7772*b73*b280 + 10904*b73*b281 + 
    232*b73*b282 + 1160*b73*b283 + 11484*b73*b284 + 6496*b73*b285 + 8120*b73*
    b286 + 11484*b73*b287 + 6960*b73*b288 + 4340*b73*b289 + 10168*b73*b290 + 
    1860*b73*b291 + 11160*b73*b292 + 9424*b73*b294 + 11284*b73*b295 + 1612*b73*
    b296 + 3596*b73*b297 + 1364*b73*b298 + 9548*b73*b299 + 3968*b73*b300 + 
    10788*b73*b301 + 8308*b73*b302 + 11656*b73*b303 + 248*b73*b304 + 1240*b73*
    b305 + 12276*b73*b306 + 6944*b73*b307 + 8680*b73*b308 + 12276*b73*b309 + 
    7440*b73*b310 + 3430*b73*b311 + 8036*b73*b312 + 1470*b73*b313 + 8820*b73*
    b314 + 7448*b73*b316 + 8918*b73*b317 + 1274*b73*b318 + 2842*b73*b319 + 1078
    *b73*b320 + 7546*b73*b321 + 3136*b73*b322 + 8526*b73*b323 + 6566*b73*b324
     + 9212*b73*b325 + 196*b73*b326 + 980*b73*b327 + 9702*b73*b328 + 5488*b73*
    b329 + 6860*b73*b330 + 9702*b73*b331 + 5880*b73*b332 + 6580*b73*b333 + 
    15416*b73*b334 + 2820*b73*b335 + 16920*b73*b336 + 14288*b73*b338 + 17108*
    b73*b339 + 2444*b73*b340 + 5452*b73*b341 + 2068*b73*b342 + 14476*b73*b343
     + 6016*b73*b344 + 16356*b73*b345 + 12596*b73*b346 + 17672*b73*b347 + 376*
    b73*b348 + 1880*b73*b349 + 18612*b73*b350 + 10528*b73*b351 + 13160*b73*b352
     + 18612*b73*b353 + 11280*b73*b354 + 6440*b73*b355 + 15088*b73*b356 + 2760*
    b73*b357 + 16560*b73*b358 + 13984*b73*b360 + 16744*b73*b361 + 2392*b73*b362
     + 5336*b73*b363 + 2024*b73*b364 + 14168*b73*b365 + 5888*b73*b366 + 16008*
    b73*b367 + 12328*b73*b368 + 17296*b73*b369 + 368*b73*b370 + 1840*b73*b371
     + 18216*b73*b372 + 10304*b73*b373 + 12880*b73*b374 + 18216*b73*b375 + 
    11040*b73*b376 + 4410*b73*b377 + 10332*b73*b378 + 1890*b73*b379 + 11340*b73
    *b380 + 9576*b73*b382 + 11466*b73*b383 + 1638*b73*b384 + 3654*b73*b385 + 
    1386*b73*b386 + 9702*b73*b387 + 4032*b73*b388 + 10962*b73*b389 + 8442*b73*
    b390 + 11844*b73*b391 + 252*b73*b392 + 1260*b73*b393 + 12474*b73*b394 + 
    7056*b73*b395 + 8820*b73*b396 + 12474*b73*b397 + 7560*b73*b398 + 910*b73*
    b399 + 2132*b73*b400 + 390*b73*b401 + 2340*b73*b402 + 1976*b73*b404 + 2366*
    b73*b405 + 338*b73*b406 + 754*b73*b407 + 286*b73*b408 + 2002*b73*b409 + 832
    *b73*b410 + 2262*b73*b411 + 1742*b73*b412 + 2444*b73*b413 + 52*b73*b414 + 
    260*b73*b415 + 2574*b73*b416 + 1456*b73*b417 + 1820*b73*b418 + 2574*b73*
    b419 + 1560*b73*b420 + 3150*b73*b421 + 7380*b73*b422 + 1350*b73*b423 + 8100
    *b73*b424 + 6840*b73*b426 + 8190*b73*b427 + 1170*b73*b428 + 2610*b73*b429
     + 990*b73*b430 + 6930*b73*b431 + 2880*b73*b432 + 7830*b73*b433 + 6030*b73*
    b434 + 8460*b73*b435 + 180*b73*b436 + 900*b73*b437 + 8910*b73*b438 + 5040*
    b73*b439 + 6300*b73*b440 + 8910*b73*b441 + 5400*b73*b442 + 1540*b73*b443 + 
    3608*b73*b444 + 660*b73*b445 + 3960*b73*b446 + 3344*b73*b448 + 4004*b73*
    b449 + 572*b73*b450 + 1276*b73*b451 + 484*b73*b452 + 3388*b73*b453 + 1408*
    b73*b454 + 3828*b73*b455 + 2948*b73*b456 + 4136*b73*b457 + 88*b73*b458 + 
    440*b73*b459 + 4356*b73*b460 + 2464*b73*b461 + 3080*b73*b462 + 4356*b73*
    b463 + 2640*b73*b464 + 4830*b73*b465 + 11316*b73*b466 + 2070*b73*b467 + 
    12420*b73*b468 + 10488*b73*b470 + 12558*b73*b471 + 1794*b73*b472 + 4002*b73
    *b473 + 1518*b73*b474 + 10626*b73*b475 + 4416*b73*b476 + 12006*b73*b477 + 
    9246*b73*b478 + 12972*b73*b479 + 276*b73*b480 + 1380*b73*b481 + 13662*b73*
    b482 + 7728*b73*b483 + 9660*b73*b484 + 13662*b73*b485 + 8280*b73*b486 + 
    4900*b73*b487 + 11480*b73*b488 + 2100*b73*b489 + 12600*b73*b490 + 10640*b73
    *b492 + 12740*b73*b493 + 1820*b73*b494 + 4060*b73*b495 + 1540*b73*b496 + 
    10780*b73*b497 + 4480*b73*b498 + 12180*b73*b499 + 9380*b73*b500 + 13160*b73
    *b501 + 280*b73*b502 + 1400*b73*b503 + 13860*b73*b504 + 7840*b73*b505 + 
    9800*b73*b506 + 13860*b73*b507 + 8400*b73*b508 + 1260*b73*b509 + 2952*b73*
    b510 + 540*b73*b511 + 3240*b73*b512 + 2736*b73*b514 + 3276*b73*b515 + 468*
    b73*b516 + 1044*b73*b517 + 396*b73*b518 + 2772*b73*b519 + 1152*b73*b520 + 
    3132*b73*b521 + 2412*b73*b522 + 3384*b73*b523 + 72*b73*b524 + 360*b73*b525
     + 3564*b73*b526 + 2016*b73*b527 + 2520*b73*b528 + 3564*b73*b529 + 2160*b73
    *b530 + 1558*b73*b531 + 3002*b73*b532 + 152*b73*b533 + 164*b73*b534 + 316*
    b73*b535 + 16*b73*b536 + 984*b73*b540 + 1896*b73*b541 + 96*b73*b542 + 7462*
    b73*b543 + 14378*b73*b544 + 728*b73*b545 + 5166*b73*b546 + 9954*b73*b547 + 
    504*b73*b548 + 5740*b73*b549 + 11060*b73*b550 + 560*b73*b551 + 82*b73*b552
     + 158*b73*b553 + 8*b73*b554 + 1804*b73*b555 + 3476*b73*b556 + 176*b73*b557
     + 4018*b73*b558 + 7742*b73*b559 + 392*b73*b560 + 1968*b73*b561 + 3792*b73*
    b562 + 192*b73*b563 + 4756*b73*b564 + 9164*b73*b565 + 464*b73*b566 + 5084*
    b73*b567 + 9796*b73*b568 + 496*b73*b569 + 4018*b73*b570 + 7742*b73*b571 + 
    392*b73*b572 + 7708*b73*b573 + 14852*b73*b574 + 752*b73*b575 + 7544*b73*
    b576 + 14536*b73*b577 + 736*b73*b578 + 5166*b73*b579 + 9954*b73*b580 + 504*
    b73*b581 + 1066*b73*b582 + 2054*b73*b583 + 104*b73*b584 + 3690*b73*b585 + 
    7110*b73*b586 + 360*b73*b587 + 1804*b73*b588 + 3476*b73*b589 + 176*b73*b590
     + 5658*b73*b591 + 10902*b73*b592 + 552*b73*b593 + 5740*b73*b594 + 11060*
    b73*b595 + 560*b73*b596 + 1476*b73*b597 + 2844*b73*b598 + 144*b73*b599 + 
    5248*b73*b600 + 960*b73*b601 + 5760*b73*b602 + 4864*b73*b604 + 5824*b73*
    b605 + 832*b73*b606 + 1856*b73*b607 + 704*b73*b608 + 4928*b73*b609 + 2048*
    b73*b610 + 5568*b73*b611 + 4288*b73*b612 + 6016*b73*b613 + 5056*b73*b614 + 
    128*b73*b615 + 640*b73*b616 + 6336*b73*b617 + 3584*b73*b618 + 4480*b73*b619
     + 6336*b73*b620 + 3840*b73*b621 + 256*b73*b622 + 2240*b73*b623 + 4920*b73*
    b624 + 9480*b73*b625 + 480*b73*b626 + 1968*b74*b91 + 144*b74*b92 + 264*b74*
    b93 + 1584*b74*b94 + 1824*b74*b95 + 1344*b74*b97 + 48*b74*b98 + 1440*b74*
    b99 + 1728*b74*b100 + 1776*b74*b101 + 1104*b74*b102 + 312*b74*b103 + 480*
    b74*b104 + 2064*b74*b105 + 1848*b74*b106 + 360*b74*b107 + 2136*b74*b108 + 
    1152*b74*b109 + 336*b74*b110 + 2136*b74*b111 + 1056*b74*b112 + 14924*b74*
    b113 + 1092*b74*b114 + 2002*b74*b115 + 12012*b74*b116 + 13832*b74*b117 + 
    10192*b74*b119 + 364*b74*b120 + 10920*b74*b121 + 13104*b74*b122 + 13468*b74
    *b123 + 8372*b74*b124 + 2366*b74*b125 + 3640*b74*b126 + 15652*b74*b127 + 
    14014*b74*b128 + 2730*b74*b129 + 16198*b74*b130 + 8736*b74*b131 + 2548*b74*
    b132 + 16198*b74*b133 + 8008*b74*b134 + 10332*b74*b135 + 756*b74*b136 + 
    1386*b74*b137 + 8316*b74*b138 + 9576*b74*b139 + 7056*b74*b141 + 252*b74*
    b142 + 7560*b74*b143 + 9072*b74*b144 + 9324*b74*b145 + 5796*b74*b146 + 1638
    *b74*b147 + 2520*b74*b148 + 10836*b74*b149 + 9702*b74*b150 + 1890*b74*b151
     + 11214*b74*b152 + 6048*b74*b153 + 1764*b74*b154 + 11214*b74*b155 + 5544*
    b74*b156 + 11480*b74*b157 + 840*b74*b158 + 1540*b74*b159 + 9240*b74*b160 + 
    10640*b74*b161 + 7840*b74*b163 + 280*b74*b164 + 8400*b74*b165 + 10080*b74*
    b166 + 10360*b74*b167 + 6440*b74*b168 + 1820*b74*b169 + 2800*b74*b170 + 
    12040*b74*b171 + 10780*b74*b172 + 2100*b74*b173 + 12460*b74*b174 + 6720*b74
    *b175 + 1960*b74*b176 + 12460*b74*b177 + 6160*b74*b178 + 164*b74*b179 + 12*
    b74*b180 + 22*b74*b181 + 132*b74*b182 + 152*b74*b183 + 112*b74*b185 + 4*b74
    *b186 + 120*b74*b187 + 144*b74*b188 + 148*b74*b189 + 92*b74*b190 + 26*b74*
    b191 + 40*b74*b192 + 172*b74*b193 + 154*b74*b194 + 30*b74*b195 + 178*b74*
    b196 + 96*b74*b197 + 28*b74*b198 + 178*b74*b199 + 88*b74*b200 + 3608*b74*
    b201 + 264*b74*b202 + 484*b74*b203 + 2904*b74*b204 + 3344*b74*b205 + 2464*
    b74*b207 + 88*b74*b208 + 2640*b74*b209 + 3168*b74*b210 + 3256*b74*b211 + 
    2024*b74*b212 + 572*b74*b213 + 880*b74*b214 + 3784*b74*b215 + 3388*b74*b216
     + 660*b74*b217 + 3916*b74*b218 + 2112*b74*b219 + 616*b74*b220 + 3916*b74*
    b221 + 1936*b74*b222 + 8036*b74*b223 + 588*b74*b224 + 1078*b74*b225 + 6468*
    b74*b226 + 7448*b74*b227 + 5488*b74*b229 + 196*b74*b230 + 5880*b74*b231 + 
    7056*b74*b232 + 7252*b74*b233 + 4508*b74*b234 + 1274*b74*b235 + 1960*b74*
    b236 + 8428*b74*b237 + 7546*b74*b238 + 1470*b74*b239 + 8722*b74*b240 + 4704
    *b74*b241 + 1372*b74*b242 + 8722*b74*b243 + 4312*b74*b244 + 3936*b74*b245
     + 288*b74*b246 + 528*b74*b247 + 3168*b74*b248 + 3648*b74*b249 + 2688*b74*
    b251 + 96*b74*b252 + 2880*b74*b253 + 3456*b74*b254 + 3552*b74*b255 + 2208*
    b74*b256 + 624*b74*b257 + 960*b74*b258 + 4128*b74*b259 + 3696*b74*b260 + 
    720*b74*b261 + 4272*b74*b262 + 2304*b74*b263 + 672*b74*b264 + 4272*b74*b265
     + 2112*b74*b266 + 9512*b74*b267 + 696*b74*b268 + 1276*b74*b269 + 7656*b74*
    b270 + 8816*b74*b271 + 6496*b74*b273 + 232*b74*b274 + 6960*b74*b275 + 8352*
    b74*b276 + 8584*b74*b277 + 5336*b74*b278 + 1508*b74*b279 + 2320*b74*b280 + 
    9976*b74*b281 + 8932*b74*b282 + 1740*b74*b283 + 10324*b74*b284 + 5568*b74*
    b285 + 1624*b74*b286 + 10324*b74*b287 + 5104*b74*b288 + 10168*b74*b289 + 
    744*b74*b290 + 1364*b74*b291 + 8184*b74*b292 + 9424*b74*b293 + 6944*b74*
    b295 + 248*b74*b296 + 7440*b74*b297 + 8928*b74*b298 + 9176*b74*b299 + 5704*
    b74*b300 + 1612*b74*b301 + 2480*b74*b302 + 10664*b74*b303 + 9548*b74*b304
     + 1860*b74*b305 + 11036*b74*b306 + 5952*b74*b307 + 1736*b74*b308 + 11036*
    b74*b309 + 5456*b74*b310 + 8036*b74*b311 + 588*b74*b312 + 1078*b74*b313 + 
    6468*b74*b314 + 7448*b74*b315 + 5488*b74*b317 + 196*b74*b318 + 5880*b74*
    b319 + 7056*b74*b320 + 7252*b74*b321 + 4508*b74*b322 + 1274*b74*b323 + 1960
    *b74*b324 + 8428*b74*b325 + 7546*b74*b326 + 1470*b74*b327 + 8722*b74*b328
     + 4704*b74*b329 + 1372*b74*b330 + 8722*b74*b331 + 4312*b74*b332 + 15416*
    b74*b333 + 1128*b74*b334 + 2068*b74*b335 + 12408*b74*b336 + 14288*b74*b337
     + 10528*b74*b339 + 376*b74*b340 + 11280*b74*b341 + 13536*b74*b342 + 13912*
    b74*b343 + 8648*b74*b344 + 2444*b74*b345 + 3760*b74*b346 + 16168*b74*b347
     + 14476*b74*b348 + 2820*b74*b349 + 16732*b74*b350 + 9024*b74*b351 + 2632*
    b74*b352 + 16732*b74*b353 + 8272*b74*b354 + 15088*b74*b355 + 1104*b74*b356
     + 2024*b74*b357 + 12144*b74*b358 + 13984*b74*b359 + 10304*b74*b361 + 368*
    b74*b362 + 11040*b74*b363 + 13248*b74*b364 + 13616*b74*b365 + 8464*b74*b366
     + 2392*b74*b367 + 3680*b74*b368 + 15824*b74*b369 + 14168*b74*b370 + 2760*
    b74*b371 + 16376*b74*b372 + 8832*b74*b373 + 2576*b74*b374 + 16376*b74*b375
     + 8096*b74*b376 + 10332*b74*b377 + 756*b74*b378 + 1386*b74*b379 + 8316*b74
    *b380 + 9576*b74*b381 + 7056*b74*b383 + 252*b74*b384 + 7560*b74*b385 + 9072
    *b74*b386 + 9324*b74*b387 + 5796*b74*b388 + 1638*b74*b389 + 2520*b74*b390
     + 10836*b74*b391 + 9702*b74*b392 + 1890*b74*b393 + 11214*b74*b394 + 6048*
    b74*b395 + 1764*b74*b396 + 11214*b74*b397 + 5544*b74*b398 + 2132*b74*b399
     + 156*b74*b400 + 286*b74*b401 + 1716*b74*b402 + 1976*b74*b403 + 1456*b74*
    b405 + 52*b74*b406 + 1560*b74*b407 + 1872*b74*b408 + 1924*b74*b409 + 1196*
    b74*b410 + 338*b74*b411 + 520*b74*b412 + 2236*b74*b413 + 2002*b74*b414 + 
    390*b74*b415 + 2314*b74*b416 + 1248*b74*b417 + 364*b74*b418 + 2314*b74*b419
     + 1144*b74*b420 + 7380*b74*b421 + 540*b74*b422 + 990*b74*b423 + 5940*b74*
    b424 + 6840*b74*b425 + 5040*b74*b427 + 180*b74*b428 + 5400*b74*b429 + 6480*
    b74*b430 + 6660*b74*b431 + 4140*b74*b432 + 1170*b74*b433 + 1800*b74*b434 + 
    7740*b74*b435 + 6930*b74*b436 + 1350*b74*b437 + 8010*b74*b438 + 4320*b74*
    b439 + 1260*b74*b440 + 8010*b74*b441 + 3960*b74*b442 + 3608*b74*b443 + 264*
    b74*b444 + 484*b74*b445 + 2904*b74*b446 + 3344*b74*b447 + 2464*b74*b449 + 
    88*b74*b450 + 2640*b74*b451 + 3168*b74*b452 + 3256*b74*b453 + 2024*b74*b454
     + 572*b74*b455 + 880*b74*b456 + 3784*b74*b457 + 3388*b74*b458 + 660*b74*
    b459 + 3916*b74*b460 + 2112*b74*b461 + 616*b74*b462 + 3916*b74*b463 + 1936*
    b74*b464 + 11316*b74*b465 + 828*b74*b466 + 1518*b74*b467 + 9108*b74*b468 + 
    10488*b74*b469 + 7728*b74*b471 + 276*b74*b472 + 8280*b74*b473 + 9936*b74*
    b474 + 10212*b74*b475 + 6348*b74*b476 + 1794*b74*b477 + 2760*b74*b478 + 
    11868*b74*b479 + 10626*b74*b480 + 2070*b74*b481 + 12282*b74*b482 + 6624*b74
    *b483 + 1932*b74*b484 + 12282*b74*b485 + 6072*b74*b486 + 11480*b74*b487 + 
    840*b74*b488 + 1540*b74*b489 + 9240*b74*b490 + 10640*b74*b491 + 7840*b74*
    b493 + 280*b74*b494 + 8400*b74*b495 + 10080*b74*b496 + 10360*b74*b497 + 
    6440*b74*b498 + 1820*b74*b499 + 2800*b74*b500 + 12040*b74*b501 + 10780*b74*
    b502 + 2100*b74*b503 + 12460*b74*b504 + 6720*b74*b505 + 1960*b74*b506 + 
    12460*b74*b507 + 6160*b74*b508 + 2952*b74*b509 + 216*b74*b510 + 396*b74*
    b511 + 2376*b74*b512 + 2736*b74*b513 + 2016*b74*b515 + 72*b74*b516 + 2160*
    b74*b517 + 2592*b74*b518 + 2664*b74*b519 + 1656*b74*b520 + 468*b74*b521 + 
    720*b74*b522 + 3096*b74*b523 + 2772*b74*b524 + 540*b74*b525 + 3204*b74*b526
     + 1728*b74*b527 + 504*b74*b528 + 3204*b74*b529 + 1584*b74*b530 + 228*b74*
    b531 + 152*b74*b532 + 2242*b74*b533 + 24*b74*b534 + 16*b74*b535 + 236*b74*
    b536 + 144*b74*b540 + 96*b74*b541 + 1416*b74*b542 + 1092*b74*b543 + 728*b74
    *b544 + 10738*b74*b545 + 756*b74*b546 + 504*b74*b547 + 7434*b74*b548 + 840*
    b74*b549 + 560*b74*b550 + 8260*b74*b551 + 12*b74*b552 + 8*b74*b553 + 118*
    b74*b554 + 264*b74*b555 + 176*b74*b556 + 2596*b74*b557 + 588*b74*b558 + 392
    *b74*b559 + 5782*b74*b560 + 288*b74*b561 + 192*b74*b562 + 2832*b74*b563 + 
    696*b74*b564 + 464*b74*b565 + 6844*b74*b566 + 744*b74*b567 + 496*b74*b568
     + 7316*b74*b569 + 588*b74*b570 + 392*b74*b571 + 5782*b74*b572 + 1128*b74*
    b573 + 752*b74*b574 + 11092*b74*b575 + 1104*b74*b576 + 736*b74*b577 + 10856
    *b74*b578 + 756*b74*b579 + 504*b74*b580 + 7434*b74*b581 + 156*b74*b582 + 
    104*b74*b583 + 1534*b74*b584 + 540*b74*b585 + 360*b74*b586 + 5310*b74*b587
     + 264*b74*b588 + 176*b74*b589 + 2596*b74*b590 + 828*b74*b591 + 552*b74*
    b592 + 8142*b74*b593 + 840*b74*b594 + 560*b74*b595 + 8260*b74*b596 + 216*
    b74*b597 + 144*b74*b598 + 2124*b74*b599 + 384*b74*b600 + 704*b74*b601 + 
    4224*b74*b602 + 4864*b74*b603 + 3584*b74*b605 + 128*b74*b606 + 3840*b74*
    b607 + 4608*b74*b608 + 4736*b74*b609 + 2944*b74*b610 + 832*b74*b611 + 1280*
    b74*b612 + 5504*b74*b613 + 256*b74*b614 + 4928*b74*b615 + 960*b74*b616 + 
    5696*b74*b617 + 3072*b74*b618 + 896*b74*b619 + 5696*b74*b620 + 2816*b74*
    b621 + 3776*b74*b622 + 5248*b74*b623 + 720*b74*b624 + 480*b74*b625 + 7080*
    b74*b626 + 624*b75*b91 + 1704*b75*b92 + 840*b75*b93 + 984*b75*b94 + 2184*
    b75*b95 + 1344*b75*b96 + 528*b75*b98 + 1368*b75*b99 + 1512*b75*b100 + 144*
    b75*b101 + 1488*b75*b103 + 984*b75*b104 + 1488*b75*b105 + 600*b75*b106 + 
    1800*b75*b107 + 1824*b75*b108 + 960*b75*b109 + 1584*b75*b110 + 1392*b75*
    b111 + 720*b75*b112 + 4732*b75*b113 + 12922*b75*b114 + 6370*b75*b115 + 7462
    *b75*b116 + 16562*b75*b117 + 10192*b75*b118 + 4004*b75*b120 + 10374*b75*
    b121 + 11466*b75*b122 + 1092*b75*b123 + 11284*b75*b125 + 7462*b75*b126 + 
    11284*b75*b127 + 4550*b75*b128 + 13650*b75*b129 + 13832*b75*b130 + 7280*b75
    *b131 + 12012*b75*b132 + 10556*b75*b133 + 5460*b75*b134 + 3276*b75*b135 + 
    8946*b75*b136 + 4410*b75*b137 + 5166*b75*b138 + 11466*b75*b139 + 7056*b75*
    b140 + 2772*b75*b142 + 7182*b75*b143 + 7938*b75*b144 + 756*b75*b145 + 7812*
    b75*b147 + 5166*b75*b148 + 7812*b75*b149 + 3150*b75*b150 + 9450*b75*b151 + 
    9576*b75*b152 + 5040*b75*b153 + 8316*b75*b154 + 7308*b75*b155 + 3780*b75*
    b156 + 3640*b75*b157 + 9940*b75*b158 + 4900*b75*b159 + 5740*b75*b160 + 
    12740*b75*b161 + 7840*b75*b162 + 3080*b75*b164 + 7980*b75*b165 + 8820*b75*
    b166 + 840*b75*b167 + 8680*b75*b169 + 5740*b75*b170 + 8680*b75*b171 + 3500*
    b75*b172 + 10500*b75*b173 + 10640*b75*b174 + 5600*b75*b175 + 9240*b75*b176
     + 8120*b75*b177 + 4200*b75*b178 + 52*b75*b179 + 142*b75*b180 + 70*b75*b181
     + 82*b75*b182 + 182*b75*b183 + 112*b75*b184 + 44*b75*b186 + 114*b75*b187
     + 126*b75*b188 + 12*b75*b189 + 124*b75*b191 + 82*b75*b192 + 124*b75*b193
     + 50*b75*b194 + 150*b75*b195 + 152*b75*b196 + 80*b75*b197 + 132*b75*b198
     + 116*b75*b199 + 60*b75*b200 + 1144*b75*b201 + 3124*b75*b202 + 1540*b75*
    b203 + 1804*b75*b204 + 4004*b75*b205 + 2464*b75*b206 + 968*b75*b208 + 2508*
    b75*b209 + 2772*b75*b210 + 264*b75*b211 + 2728*b75*b213 + 1804*b75*b214 + 
    2728*b75*b215 + 1100*b75*b216 + 3300*b75*b217 + 3344*b75*b218 + 1760*b75*
    b219 + 2904*b75*b220 + 2552*b75*b221 + 1320*b75*b222 + 2548*b75*b223 + 6958
    *b75*b224 + 3430*b75*b225 + 4018*b75*b226 + 8918*b75*b227 + 5488*b75*b228
     + 2156*b75*b230 + 5586*b75*b231 + 6174*b75*b232 + 588*b75*b233 + 6076*b75*
    b235 + 4018*b75*b236 + 6076*b75*b237 + 2450*b75*b238 + 7350*b75*b239 + 7448
    *b75*b240 + 3920*b75*b241 + 6468*b75*b242 + 5684*b75*b243 + 2940*b75*b244
     + 1248*b75*b245 + 3408*b75*b246 + 1680*b75*b247 + 1968*b75*b248 + 4368*b75
    *b249 + 2688*b75*b250 + 1056*b75*b252 + 2736*b75*b253 + 3024*b75*b254 + 288
    *b75*b255 + 2976*b75*b257 + 1968*b75*b258 + 2976*b75*b259 + 1200*b75*b260
     + 3600*b75*b261 + 3648*b75*b262 + 1920*b75*b263 + 3168*b75*b264 + 2784*b75
    *b265 + 1440*b75*b266 + 3016*b75*b267 + 8236*b75*b268 + 4060*b75*b269 + 
    4756*b75*b270 + 10556*b75*b271 + 6496*b75*b272 + 2552*b75*b274 + 6612*b75*
    b275 + 7308*b75*b276 + 696*b75*b277 + 7192*b75*b279 + 4756*b75*b280 + 7192*
    b75*b281 + 2900*b75*b282 + 8700*b75*b283 + 8816*b75*b284 + 4640*b75*b285 + 
    7656*b75*b286 + 6728*b75*b287 + 3480*b75*b288 + 3224*b75*b289 + 8804*b75*
    b290 + 4340*b75*b291 + 5084*b75*b292 + 11284*b75*b293 + 6944*b75*b294 + 
    2728*b75*b296 + 7068*b75*b297 + 7812*b75*b298 + 744*b75*b299 + 7688*b75*
    b301 + 5084*b75*b302 + 7688*b75*b303 + 3100*b75*b304 + 9300*b75*b305 + 9424
    *b75*b306 + 4960*b75*b307 + 8184*b75*b308 + 7192*b75*b309 + 3720*b75*b310
     + 2548*b75*b311 + 6958*b75*b312 + 3430*b75*b313 + 4018*b75*b314 + 8918*b75
    *b315 + 5488*b75*b316 + 2156*b75*b318 + 5586*b75*b319 + 6174*b75*b320 + 588
    *b75*b321 + 6076*b75*b323 + 4018*b75*b324 + 6076*b75*b325 + 2450*b75*b326
     + 7350*b75*b327 + 7448*b75*b328 + 3920*b75*b329 + 6468*b75*b330 + 5684*b75
    *b331 + 2940*b75*b332 + 4888*b75*b333 + 13348*b75*b334 + 6580*b75*b335 + 
    7708*b75*b336 + 17108*b75*b337 + 10528*b75*b338 + 4136*b75*b340 + 10716*b75
    *b341 + 11844*b75*b342 + 1128*b75*b343 + 11656*b75*b345 + 7708*b75*b346 + 
    11656*b75*b347 + 4700*b75*b348 + 14100*b75*b349 + 14288*b75*b350 + 7520*b75
    *b351 + 12408*b75*b352 + 10904*b75*b353 + 5640*b75*b354 + 4784*b75*b355 + 
    13064*b75*b356 + 6440*b75*b357 + 7544*b75*b358 + 16744*b75*b359 + 10304*b75
    *b360 + 4048*b75*b362 + 10488*b75*b363 + 11592*b75*b364 + 1104*b75*b365 + 
    11408*b75*b367 + 7544*b75*b368 + 11408*b75*b369 + 4600*b75*b370 + 13800*b75
    *b371 + 13984*b75*b372 + 7360*b75*b373 + 12144*b75*b374 + 10672*b75*b375 + 
    5520*b75*b376 + 3276*b75*b377 + 8946*b75*b378 + 4410*b75*b379 + 5166*b75*
    b380 + 11466*b75*b381 + 7056*b75*b382 + 2772*b75*b384 + 7182*b75*b385 + 
    7938*b75*b386 + 756*b75*b387 + 7812*b75*b389 + 5166*b75*b390 + 7812*b75*
    b391 + 3150*b75*b392 + 9450*b75*b393 + 9576*b75*b394 + 5040*b75*b395 + 8316
    *b75*b396 + 7308*b75*b397 + 3780*b75*b398 + 676*b75*b399 + 1846*b75*b400 + 
    910*b75*b401 + 1066*b75*b402 + 2366*b75*b403 + 1456*b75*b404 + 572*b75*b406
     + 1482*b75*b407 + 1638*b75*b408 + 156*b75*b409 + 1612*b75*b411 + 1066*b75*
    b412 + 1612*b75*b413 + 650*b75*b414 + 1950*b75*b415 + 1976*b75*b416 + 1040*
    b75*b417 + 1716*b75*b418 + 1508*b75*b419 + 780*b75*b420 + 2340*b75*b421 + 
    6390*b75*b422 + 3150*b75*b423 + 3690*b75*b424 + 8190*b75*b425 + 5040*b75*
    b426 + 1980*b75*b428 + 5130*b75*b429 + 5670*b75*b430 + 540*b75*b431 + 5580*
    b75*b433 + 3690*b75*b434 + 5580*b75*b435 + 2250*b75*b436 + 6750*b75*b437 + 
    6840*b75*b438 + 3600*b75*b439 + 5940*b75*b440 + 5220*b75*b441 + 2700*b75*
    b442 + 1144*b75*b443 + 3124*b75*b444 + 1540*b75*b445 + 1804*b75*b446 + 4004
    *b75*b447 + 2464*b75*b448 + 968*b75*b450 + 2508*b75*b451 + 2772*b75*b452 + 
    264*b75*b453 + 2728*b75*b455 + 1804*b75*b456 + 2728*b75*b457 + 1100*b75*
    b458 + 3300*b75*b459 + 3344*b75*b460 + 1760*b75*b461 + 2904*b75*b462 + 2552
    *b75*b463 + 1320*b75*b464 + 3588*b75*b465 + 9798*b75*b466 + 4830*b75*b467
     + 5658*b75*b468 + 12558*b75*b469 + 7728*b75*b470 + 3036*b75*b472 + 7866*
    b75*b473 + 8694*b75*b474 + 828*b75*b475 + 8556*b75*b477 + 5658*b75*b478 + 
    8556*b75*b479 + 3450*b75*b480 + 10350*b75*b481 + 10488*b75*b482 + 5520*b75*
    b483 + 9108*b75*b484 + 8004*b75*b485 + 4140*b75*b486 + 3640*b75*b487 + 9940
    *b75*b488 + 4900*b75*b489 + 5740*b75*b490 + 12740*b75*b491 + 7840*b75*b492
     + 3080*b75*b494 + 7980*b75*b495 + 8820*b75*b496 + 840*b75*b497 + 8680*b75*
    b499 + 5740*b75*b500 + 8680*b75*b501 + 3500*b75*b502 + 10500*b75*b503 + 
    10640*b75*b504 + 5600*b75*b505 + 9240*b75*b506 + 8120*b75*b507 + 4200*b75*
    b508 + 936*b75*b509 + 2556*b75*b510 + 1260*b75*b511 + 1476*b75*b512 + 3276*
    b75*b513 + 2016*b75*b514 + 792*b75*b516 + 2052*b75*b517 + 2268*b75*b518 + 
    216*b75*b519 + 2232*b75*b521 + 1476*b75*b522 + 2232*b75*b523 + 900*b75*b524
     + 2700*b75*b525 + 2736*b75*b526 + 1440*b75*b527 + 2376*b75*b528 + 2088*b75
    *b529 + 1080*b75*b530 + 950*b75*b531 + 1748*b75*b532 + 2584*b75*b533 + 100*
    b75*b534 + 184*b75*b535 + 272*b75*b536 + 600*b75*b540 + 1104*b75*b541 + 
    1632*b75*b542 + 4550*b75*b543 + 8372*b75*b544 + 12376*b75*b545 + 3150*b75*
    b546 + 5796*b75*b547 + 8568*b75*b548 + 3500*b75*b549 + 6440*b75*b550 + 9520
    *b75*b551 + 50*b75*b552 + 92*b75*b553 + 136*b75*b554 + 1100*b75*b555 + 2024
    *b75*b556 + 2992*b75*b557 + 2450*b75*b558 + 4508*b75*b559 + 6664*b75*b560
     + 1200*b75*b561 + 2208*b75*b562 + 3264*b75*b563 + 2900*b75*b564 + 5336*b75
    *b565 + 7888*b75*b566 + 3100*b75*b567 + 5704*b75*b568 + 8432*b75*b569 + 
    2450*b75*b570 + 4508*b75*b571 + 6664*b75*b572 + 4700*b75*b573 + 8648*b75*
    b574 + 12784*b75*b575 + 4600*b75*b576 + 8464*b75*b577 + 12512*b75*b578 + 
    3150*b75*b579 + 5796*b75*b580 + 8568*b75*b581 + 650*b75*b582 + 1196*b75*
    b583 + 1768*b75*b584 + 2250*b75*b585 + 4140*b75*b586 + 6120*b75*b587 + 1100
    *b75*b588 + 2024*b75*b589 + 2992*b75*b590 + 3450*b75*b591 + 6348*b75*b592
     + 9384*b75*b593 + 3500*b75*b594 + 6440*b75*b595 + 9520*b75*b596 + 900*b75*
    b597 + 1656*b75*b598 + 2448*b75*b599 + 4544*b75*b600 + 2240*b75*b601 + 2624
    *b75*b602 + 5824*b75*b603 + 3584*b75*b604 + 1408*b75*b606 + 3648*b75*b607
     + 4032*b75*b608 + 384*b75*b609 + 3968*b75*b611 + 2624*b75*b612 + 3968*b75*
    b613 + 2944*b75*b614 + 1600*b75*b615 + 4800*b75*b616 + 4864*b75*b617 + 2560
    *b75*b618 + 4224*b75*b619 + 3712*b75*b620 + 1920*b75*b621 + 4352*b75*b622
     + 1664*b75*b623 + 3000*b75*b624 + 5520*b75*b625 + 8160*b75*b626 + 1656*b76
    *b91 + 192*b76*b92 + 264*b76*b93 + 360*b76*b94 + 312*b76*b95 + 48*b76*b96
     + 528*b76*b97 + 1872*b76*b99 + 2184*b76*b100 + 312*b76*b101 + 1416*b76*
    b102 + 1176*b76*b103 + 2040*b76*b104 + 2016*b76*b105 + 912*b76*b106 + 984*
    b76*b107 + 1344*b76*b108 + 936*b76*b109 + 1272*b76*b110 + 1848*b76*b111 + 
    1200*b76*b112 + 12558*b76*b113 + 1456*b76*b114 + 2002*b76*b115 + 2730*b76*
    b116 + 2366*b76*b117 + 364*b76*b118 + 4004*b76*b119 + 14196*b76*b121 + 
    16562*b76*b122 + 2366*b76*b123 + 10738*b76*b124 + 8918*b76*b125 + 15470*b76
    *b126 + 15288*b76*b127 + 6916*b76*b128 + 7462*b76*b129 + 10192*b76*b130 + 
    7098*b76*b131 + 9646*b76*b132 + 14014*b76*b133 + 9100*b76*b134 + 8694*b76*
    b135 + 1008*b76*b136 + 1386*b76*b137 + 1890*b76*b138 + 1638*b76*b139 + 252*
    b76*b140 + 2772*b76*b141 + 9828*b76*b143 + 11466*b76*b144 + 1638*b76*b145
     + 7434*b76*b146 + 6174*b76*b147 + 10710*b76*b148 + 10584*b76*b149 + 4788*
    b76*b150 + 5166*b76*b151 + 7056*b76*b152 + 4914*b76*b153 + 6678*b76*b154 + 
    9702*b76*b155 + 6300*b76*b156 + 9660*b76*b157 + 1120*b76*b158 + 1540*b76*
    b159 + 2100*b76*b160 + 1820*b76*b161 + 280*b76*b162 + 3080*b76*b163 + 10920
    *b76*b165 + 12740*b76*b166 + 1820*b76*b167 + 8260*b76*b168 + 6860*b76*b169
     + 11900*b76*b170 + 11760*b76*b171 + 5320*b76*b172 + 5740*b76*b173 + 7840*
    b76*b174 + 5460*b76*b175 + 7420*b76*b176 + 10780*b76*b177 + 7000*b76*b178
     + 138*b76*b179 + 16*b76*b180 + 22*b76*b181 + 30*b76*b182 + 26*b76*b183 + 4
    *b76*b184 + 44*b76*b185 + 156*b76*b187 + 182*b76*b188 + 26*b76*b189 + 118*
    b76*b190 + 98*b76*b191 + 170*b76*b192 + 168*b76*b193 + 76*b76*b194 + 82*b76
    *b195 + 112*b76*b196 + 78*b76*b197 + 106*b76*b198 + 154*b76*b199 + 100*b76*
    b200 + 3036*b76*b201 + 352*b76*b202 + 484*b76*b203 + 660*b76*b204 + 572*b76
    *b205 + 88*b76*b206 + 968*b76*b207 + 3432*b76*b209 + 4004*b76*b210 + 572*
    b76*b211 + 2596*b76*b212 + 2156*b76*b213 + 3740*b76*b214 + 3696*b76*b215 + 
    1672*b76*b216 + 1804*b76*b217 + 2464*b76*b218 + 1716*b76*b219 + 2332*b76*
    b220 + 3388*b76*b221 + 2200*b76*b222 + 6762*b76*b223 + 784*b76*b224 + 1078*
    b76*b225 + 1470*b76*b226 + 1274*b76*b227 + 196*b76*b228 + 2156*b76*b229 + 
    7644*b76*b231 + 8918*b76*b232 + 1274*b76*b233 + 5782*b76*b234 + 4802*b76*
    b235 + 8330*b76*b236 + 8232*b76*b237 + 3724*b76*b238 + 4018*b76*b239 + 5488
    *b76*b240 + 3822*b76*b241 + 5194*b76*b242 + 7546*b76*b243 + 4900*b76*b244
     + 3312*b76*b245 + 384*b76*b246 + 528*b76*b247 + 720*b76*b248 + 624*b76*
    b249 + 96*b76*b250 + 1056*b76*b251 + 3744*b76*b253 + 4368*b76*b254 + 624*
    b76*b255 + 2832*b76*b256 + 2352*b76*b257 + 4080*b76*b258 + 4032*b76*b259 + 
    1824*b76*b260 + 1968*b76*b261 + 2688*b76*b262 + 1872*b76*b263 + 2544*b76*
    b264 + 3696*b76*b265 + 2400*b76*b266 + 8004*b76*b267 + 928*b76*b268 + 1276*
    b76*b269 + 1740*b76*b270 + 1508*b76*b271 + 232*b76*b272 + 2552*b76*b273 + 
    9048*b76*b275 + 10556*b76*b276 + 1508*b76*b277 + 6844*b76*b278 + 5684*b76*
    b279 + 9860*b76*b280 + 9744*b76*b281 + 4408*b76*b282 + 4756*b76*b283 + 6496
    *b76*b284 + 4524*b76*b285 + 6148*b76*b286 + 8932*b76*b287 + 5800*b76*b288
     + 8556*b76*b289 + 992*b76*b290 + 1364*b76*b291 + 1860*b76*b292 + 1612*b76*
    b293 + 248*b76*b294 + 2728*b76*b295 + 9672*b76*b297 + 11284*b76*b298 + 1612
    *b76*b299 + 7316*b76*b300 + 6076*b76*b301 + 10540*b76*b302 + 10416*b76*b303
     + 4712*b76*b304 + 5084*b76*b305 + 6944*b76*b306 + 4836*b76*b307 + 6572*b76
    *b308 + 9548*b76*b309 + 6200*b76*b310 + 6762*b76*b311 + 784*b76*b312 + 1078
    *b76*b313 + 1470*b76*b314 + 1274*b76*b315 + 196*b76*b316 + 2156*b76*b317 + 
    7644*b76*b319 + 8918*b76*b320 + 1274*b76*b321 + 5782*b76*b322 + 4802*b76*
    b323 + 8330*b76*b324 + 8232*b76*b325 + 3724*b76*b326 + 4018*b76*b327 + 5488
    *b76*b328 + 3822*b76*b329 + 5194*b76*b330 + 7546*b76*b331 + 4900*b76*b332
     + 12972*b76*b333 + 1504*b76*b334 + 2068*b76*b335 + 2820*b76*b336 + 2444*
    b76*b337 + 376*b76*b338 + 4136*b76*b339 + 14664*b76*b341 + 17108*b76*b342
     + 2444*b76*b343 + 11092*b76*b344 + 9212*b76*b345 + 15980*b76*b346 + 15792*
    b76*b347 + 7144*b76*b348 + 7708*b76*b349 + 10528*b76*b350 + 7332*b76*b351
     + 9964*b76*b352 + 14476*b76*b353 + 9400*b76*b354 + 12696*b76*b355 + 1472*
    b76*b356 + 2024*b76*b357 + 2760*b76*b358 + 2392*b76*b359 + 368*b76*b360 + 
    4048*b76*b361 + 14352*b76*b363 + 16744*b76*b364 + 2392*b76*b365 + 10856*b76
    *b366 + 9016*b76*b367 + 15640*b76*b368 + 15456*b76*b369 + 6992*b76*b370 + 
    7544*b76*b371 + 10304*b76*b372 + 7176*b76*b373 + 9752*b76*b374 + 14168*b76*
    b375 + 9200*b76*b376 + 8694*b76*b377 + 1008*b76*b378 + 1386*b76*b379 + 1890
    *b76*b380 + 1638*b76*b381 + 252*b76*b382 + 2772*b76*b383 + 9828*b76*b385 + 
    11466*b76*b386 + 1638*b76*b387 + 7434*b76*b388 + 6174*b76*b389 + 10710*b76*
    b390 + 10584*b76*b391 + 4788*b76*b392 + 5166*b76*b393 + 7056*b76*b394 + 
    4914*b76*b395 + 6678*b76*b396 + 9702*b76*b397 + 6300*b76*b398 + 1794*b76*
    b399 + 208*b76*b400 + 286*b76*b401 + 390*b76*b402 + 338*b76*b403 + 52*b76*
    b404 + 572*b76*b405 + 2028*b76*b407 + 2366*b76*b408 + 338*b76*b409 + 1534*
    b76*b410 + 1274*b76*b411 + 2210*b76*b412 + 2184*b76*b413 + 988*b76*b414 + 
    1066*b76*b415 + 1456*b76*b416 + 1014*b76*b417 + 1378*b76*b418 + 2002*b76*
    b419 + 1300*b76*b420 + 6210*b76*b421 + 720*b76*b422 + 990*b76*b423 + 1350*
    b76*b424 + 1170*b76*b425 + 180*b76*b426 + 1980*b76*b427 + 7020*b76*b429 + 
    8190*b76*b430 + 1170*b76*b431 + 5310*b76*b432 + 4410*b76*b433 + 7650*b76*
    b434 + 7560*b76*b435 + 3420*b76*b436 + 3690*b76*b437 + 5040*b76*b438 + 3510
    *b76*b439 + 4770*b76*b440 + 6930*b76*b441 + 4500*b76*b442 + 3036*b76*b443
     + 352*b76*b444 + 484*b76*b445 + 660*b76*b446 + 572*b76*b447 + 88*b76*b448
     + 968*b76*b449 + 3432*b76*b451 + 4004*b76*b452 + 572*b76*b453 + 2596*b76*
    b454 + 2156*b76*b455 + 3740*b76*b456 + 3696*b76*b457 + 1672*b76*b458 + 1804
    *b76*b459 + 2464*b76*b460 + 1716*b76*b461 + 2332*b76*b462 + 3388*b76*b463
     + 2200*b76*b464 + 9522*b76*b465 + 1104*b76*b466 + 1518*b76*b467 + 2070*b76
    *b468 + 1794*b76*b469 + 276*b76*b470 + 3036*b76*b471 + 10764*b76*b473 + 
    12558*b76*b474 + 1794*b76*b475 + 8142*b76*b476 + 6762*b76*b477 + 11730*b76*
    b478 + 11592*b76*b479 + 5244*b76*b480 + 5658*b76*b481 + 7728*b76*b482 + 
    5382*b76*b483 + 7314*b76*b484 + 10626*b76*b485 + 6900*b76*b486 + 9660*b76*
    b487 + 1120*b76*b488 + 1540*b76*b489 + 2100*b76*b490 + 1820*b76*b491 + 280*
    b76*b492 + 3080*b76*b493 + 10920*b76*b495 + 12740*b76*b496 + 1820*b76*b497
     + 8260*b76*b498 + 6860*b76*b499 + 11900*b76*b500 + 11760*b76*b501 + 5320*
    b76*b502 + 5740*b76*b503 + 7840*b76*b504 + 5460*b76*b505 + 7420*b76*b506 + 
    10780*b76*b507 + 7000*b76*b508 + 2484*b76*b509 + 288*b76*b510 + 396*b76*
    b511 + 540*b76*b512 + 468*b76*b513 + 72*b76*b514 + 792*b76*b515 + 2808*b76*
    b517 + 3276*b76*b518 + 468*b76*b519 + 2124*b76*b520 + 1764*b76*b521 + 3060*
    b76*b522 + 3024*b76*b523 + 1368*b76*b524 + 1476*b76*b525 + 2016*b76*b526 + 
    1404*b76*b527 + 1908*b76*b528 + 2772*b76*b529 + 1800*b76*b530 + 380*b76*
    b531 + 304*b76*b532 + 1140*b76*b533 + 40*b76*b534 + 32*b76*b535 + 120*b76*
    b536 + 240*b76*b540 + 192*b76*b541 + 720*b76*b542 + 1820*b76*b543 + 1456*
    b76*b544 + 5460*b76*b545 + 1260*b76*b546 + 1008*b76*b547 + 3780*b76*b548 + 
    1400*b76*b549 + 1120*b76*b550 + 4200*b76*b551 + 20*b76*b552 + 16*b76*b553
     + 60*b76*b554 + 440*b76*b555 + 352*b76*b556 + 1320*b76*b557 + 980*b76*b558
     + 784*b76*b559 + 2940*b76*b560 + 480*b76*b561 + 384*b76*b562 + 1440*b76*
    b563 + 1160*b76*b564 + 928*b76*b565 + 3480*b76*b566 + 1240*b76*b567 + 992*
    b76*b568 + 3720*b76*b569 + 980*b76*b570 + 784*b76*b571 + 2940*b76*b572 + 
    1880*b76*b573 + 1504*b76*b574 + 5640*b76*b575 + 1840*b76*b576 + 1472*b76*
    b577 + 5520*b76*b578 + 1260*b76*b579 + 1008*b76*b580 + 3780*b76*b581 + 260*
    b76*b582 + 208*b76*b583 + 780*b76*b584 + 900*b76*b585 + 720*b76*b586 + 2700
    *b76*b587 + 440*b76*b588 + 352*b76*b589 + 1320*b76*b590 + 1380*b76*b591 + 
    1104*b76*b592 + 4140*b76*b593 + 1400*b76*b594 + 1120*b76*b595 + 4200*b76*
    b596 + 360*b76*b597 + 288*b76*b598 + 1080*b76*b599 + 512*b76*b600 + 704*b76
    *b601 + 960*b76*b602 + 832*b76*b603 + 128*b76*b604 + 1408*b76*b605 + 4992*
    b76*b607 + 5824*b76*b608 + 832*b76*b609 + 3776*b76*b610 + 3136*b76*b611 + 
    5440*b76*b612 + 5376*b76*b613 + 512*b76*b614 + 2432*b76*b615 + 2624*b76*
    b616 + 3584*b76*b617 + 2496*b76*b618 + 3392*b76*b619 + 4928*b76*b620 + 3200
    *b76*b621 + 1920*b76*b622 + 4416*b76*b623 + 1200*b76*b624 + 960*b76*b625 + 
    3600*b76*b626 + 1344*b77*b91 + 1848*b77*b92 + 480*b77*b93 + 1992*b77*b94 + 
    696*b77*b95 + 1440*b77*b96 + 1368*b77*b97 + 1872*b77*b98 + 1392*b77*b100 + 
    1320*b77*b101 + 456*b77*b102 + 2040*b77*b103 + 1248*b77*b104 + 816*b77*b105
     + 960*b77*b106 + 1656*b77*b107 + 288*b77*b108 + 2040*b77*b109 + 1728*b77*
    b110 + 168*b77*b111 + 1176*b77*b112 + 10192*b77*b113 + 14014*b77*b114 + 
    3640*b77*b115 + 15106*b77*b116 + 5278*b77*b117 + 10920*b77*b118 + 10374*b77
    *b119 + 14196*b77*b120 + 10556*b77*b122 + 10010*b77*b123 + 3458*b77*b124 + 
    15470*b77*b125 + 9464*b77*b126 + 6188*b77*b127 + 7280*b77*b128 + 12558*b77*
    b129 + 2184*b77*b130 + 15470*b77*b131 + 13104*b77*b132 + 1274*b77*b133 + 
    8918*b77*b134 + 7056*b77*b135 + 9702*b77*b136 + 2520*b77*b137 + 10458*b77*
    b138 + 3654*b77*b139 + 7560*b77*b140 + 7182*b77*b141 + 9828*b77*b142 + 7308
    *b77*b144 + 6930*b77*b145 + 2394*b77*b146 + 10710*b77*b147 + 6552*b77*b148
     + 4284*b77*b149 + 5040*b77*b150 + 8694*b77*b151 + 1512*b77*b152 + 10710*
    b77*b153 + 9072*b77*b154 + 882*b77*b155 + 6174*b77*b156 + 7840*b77*b157 + 
    10780*b77*b158 + 2800*b77*b159 + 11620*b77*b160 + 4060*b77*b161 + 8400*b77*
    b162 + 7980*b77*b163 + 10920*b77*b164 + 8120*b77*b166 + 7700*b77*b167 + 
    2660*b77*b168 + 11900*b77*b169 + 7280*b77*b170 + 4760*b77*b171 + 5600*b77*
    b172 + 9660*b77*b173 + 1680*b77*b174 + 11900*b77*b175 + 10080*b77*b176 + 
    980*b77*b177 + 6860*b77*b178 + 112*b77*b179 + 154*b77*b180 + 40*b77*b181 + 
    166*b77*b182 + 58*b77*b183 + 120*b77*b184 + 114*b77*b185 + 156*b77*b186 + 
    116*b77*b188 + 110*b77*b189 + 38*b77*b190 + 170*b77*b191 + 104*b77*b192 + 
    68*b77*b193 + 80*b77*b194 + 138*b77*b195 + 24*b77*b196 + 170*b77*b197 + 144
    *b77*b198 + 14*b77*b199 + 98*b77*b200 + 2464*b77*b201 + 3388*b77*b202 + 880
    *b77*b203 + 3652*b77*b204 + 1276*b77*b205 + 2640*b77*b206 + 2508*b77*b207
     + 3432*b77*b208 + 2552*b77*b210 + 2420*b77*b211 + 836*b77*b212 + 3740*b77*
    b213 + 2288*b77*b214 + 1496*b77*b215 + 1760*b77*b216 + 3036*b77*b217 + 528*
    b77*b218 + 3740*b77*b219 + 3168*b77*b220 + 308*b77*b221 + 2156*b77*b222 + 
    5488*b77*b223 + 7546*b77*b224 + 1960*b77*b225 + 8134*b77*b226 + 2842*b77*
    b227 + 5880*b77*b228 + 5586*b77*b229 + 7644*b77*b230 + 5684*b77*b232 + 5390
    *b77*b233 + 1862*b77*b234 + 8330*b77*b235 + 5096*b77*b236 + 3332*b77*b237
     + 3920*b77*b238 + 6762*b77*b239 + 1176*b77*b240 + 8330*b77*b241 + 7056*b77
    *b242 + 686*b77*b243 + 4802*b77*b244 + 2688*b77*b245 + 3696*b77*b246 + 960*
    b77*b247 + 3984*b77*b248 + 1392*b77*b249 + 2880*b77*b250 + 2736*b77*b251 + 
    3744*b77*b252 + 2784*b77*b254 + 2640*b77*b255 + 912*b77*b256 + 4080*b77*
    b257 + 2496*b77*b258 + 1632*b77*b259 + 1920*b77*b260 + 3312*b77*b261 + 576*
    b77*b262 + 4080*b77*b263 + 3456*b77*b264 + 336*b77*b265 + 2352*b77*b266 + 
    6496*b77*b267 + 8932*b77*b268 + 2320*b77*b269 + 9628*b77*b270 + 3364*b77*
    b271 + 6960*b77*b272 + 6612*b77*b273 + 9048*b77*b274 + 6728*b77*b276 + 6380
    *b77*b277 + 2204*b77*b278 + 9860*b77*b279 + 6032*b77*b280 + 3944*b77*b281
     + 4640*b77*b282 + 8004*b77*b283 + 1392*b77*b284 + 9860*b77*b285 + 8352*b77
    *b286 + 812*b77*b287 + 5684*b77*b288 + 6944*b77*b289 + 9548*b77*b290 + 2480
    *b77*b291 + 10292*b77*b292 + 3596*b77*b293 + 7440*b77*b294 + 7068*b77*b295
     + 9672*b77*b296 + 7192*b77*b298 + 6820*b77*b299 + 2356*b77*b300 + 10540*
    b77*b301 + 6448*b77*b302 + 4216*b77*b303 + 4960*b77*b304 + 8556*b77*b305 + 
    1488*b77*b306 + 10540*b77*b307 + 8928*b77*b308 + 868*b77*b309 + 6076*b77*
    b310 + 5488*b77*b311 + 7546*b77*b312 + 1960*b77*b313 + 8134*b77*b314 + 2842
    *b77*b315 + 5880*b77*b316 + 5586*b77*b317 + 7644*b77*b318 + 5684*b77*b320
     + 5390*b77*b321 + 1862*b77*b322 + 8330*b77*b323 + 5096*b77*b324 + 3332*b77
    *b325 + 3920*b77*b326 + 6762*b77*b327 + 1176*b77*b328 + 8330*b77*b329 + 
    7056*b77*b330 + 686*b77*b331 + 4802*b77*b332 + 10528*b77*b333 + 14476*b77*
    b334 + 3760*b77*b335 + 15604*b77*b336 + 5452*b77*b337 + 11280*b77*b338 + 
    10716*b77*b339 + 14664*b77*b340 + 10904*b77*b342 + 10340*b77*b343 + 3572*
    b77*b344 + 15980*b77*b345 + 9776*b77*b346 + 6392*b77*b347 + 7520*b77*b348
     + 12972*b77*b349 + 2256*b77*b350 + 15980*b77*b351 + 13536*b77*b352 + 1316*
    b77*b353 + 9212*b77*b354 + 10304*b77*b355 + 14168*b77*b356 + 3680*b77*b357
     + 15272*b77*b358 + 5336*b77*b359 + 11040*b77*b360 + 10488*b77*b361 + 14352
    *b77*b362 + 10672*b77*b364 + 10120*b77*b365 + 3496*b77*b366 + 15640*b77*
    b367 + 9568*b77*b368 + 6256*b77*b369 + 7360*b77*b370 + 12696*b77*b371 + 
    2208*b77*b372 + 15640*b77*b373 + 13248*b77*b374 + 1288*b77*b375 + 9016*b77*
    b376 + 7056*b77*b377 + 9702*b77*b378 + 2520*b77*b379 + 10458*b77*b380 + 
    3654*b77*b381 + 7560*b77*b382 + 7182*b77*b383 + 9828*b77*b384 + 7308*b77*
    b386 + 6930*b77*b387 + 2394*b77*b388 + 10710*b77*b389 + 6552*b77*b390 + 
    4284*b77*b391 + 5040*b77*b392 + 8694*b77*b393 + 1512*b77*b394 + 10710*b77*
    b395 + 9072*b77*b396 + 882*b77*b397 + 6174*b77*b398 + 1456*b77*b399 + 2002*
    b77*b400 + 520*b77*b401 + 2158*b77*b402 + 754*b77*b403 + 1560*b77*b404 + 
    1482*b77*b405 + 2028*b77*b406 + 1508*b77*b408 + 1430*b77*b409 + 494*b77*
    b410 + 2210*b77*b411 + 1352*b77*b412 + 884*b77*b413 + 1040*b77*b414 + 1794*
    b77*b415 + 312*b77*b416 + 2210*b77*b417 + 1872*b77*b418 + 182*b77*b419 + 
    1274*b77*b420 + 5040*b77*b421 + 6930*b77*b422 + 1800*b77*b423 + 7470*b77*
    b424 + 2610*b77*b425 + 5400*b77*b426 + 5130*b77*b427 + 7020*b77*b428 + 5220
    *b77*b430 + 4950*b77*b431 + 1710*b77*b432 + 7650*b77*b433 + 4680*b77*b434
     + 3060*b77*b435 + 3600*b77*b436 + 6210*b77*b437 + 1080*b77*b438 + 7650*b77
    *b439 + 6480*b77*b440 + 630*b77*b441 + 4410*b77*b442 + 2464*b77*b443 + 3388
    *b77*b444 + 880*b77*b445 + 3652*b77*b446 + 1276*b77*b447 + 2640*b77*b448 + 
    2508*b77*b449 + 3432*b77*b450 + 2552*b77*b452 + 2420*b77*b453 + 836*b77*
    b454 + 3740*b77*b455 + 2288*b77*b456 + 1496*b77*b457 + 1760*b77*b458 + 3036
    *b77*b459 + 528*b77*b460 + 3740*b77*b461 + 3168*b77*b462 + 308*b77*b463 + 
    2156*b77*b464 + 7728*b77*b465 + 10626*b77*b466 + 2760*b77*b467 + 11454*b77*
    b468 + 4002*b77*b469 + 8280*b77*b470 + 7866*b77*b471 + 10764*b77*b472 + 
    8004*b77*b474 + 7590*b77*b475 + 2622*b77*b476 + 11730*b77*b477 + 7176*b77*
    b478 + 4692*b77*b479 + 5520*b77*b480 + 9522*b77*b481 + 1656*b77*b482 + 
    11730*b77*b483 + 9936*b77*b484 + 966*b77*b485 + 6762*b77*b486 + 7840*b77*
    b487 + 10780*b77*b488 + 2800*b77*b489 + 11620*b77*b490 + 4060*b77*b491 + 
    8400*b77*b492 + 7980*b77*b493 + 10920*b77*b494 + 8120*b77*b496 + 7700*b77*
    b497 + 2660*b77*b498 + 11900*b77*b499 + 7280*b77*b500 + 4760*b77*b501 + 
    5600*b77*b502 + 9660*b77*b503 + 1680*b77*b504 + 11900*b77*b505 + 10080*b77*
    b506 + 980*b77*b507 + 6860*b77*b508 + 2016*b77*b509 + 2772*b77*b510 + 720*
    b77*b511 + 2988*b77*b512 + 1044*b77*b513 + 2160*b77*b514 + 2052*b77*b515 + 
    2808*b77*b516 + 2088*b77*b518 + 1980*b77*b519 + 684*b77*b520 + 3060*b77*
    b521 + 1872*b77*b522 + 1224*b77*b523 + 1440*b77*b524 + 2484*b77*b525 + 432*
    b77*b526 + 3060*b77*b527 + 2592*b77*b528 + 252*b77*b529 + 1764*b77*b530 + 
    152*b77*b531 + 2014*b77*b532 + 1748*b77*b533 + 16*b77*b534 + 212*b77*b535
     + 184*b77*b536 + 96*b77*b540 + 1272*b77*b541 + 1104*b77*b542 + 728*b77*
    b543 + 9646*b77*b544 + 8372*b77*b545 + 504*b77*b546 + 6678*b77*b547 + 5796*
    b77*b548 + 560*b77*b549 + 7420*b77*b550 + 6440*b77*b551 + 8*b77*b552 + 106*
    b77*b553 + 92*b77*b554 + 176*b77*b555 + 2332*b77*b556 + 2024*b77*b557 + 392
    *b77*b558 + 5194*b77*b559 + 4508*b77*b560 + 192*b77*b561 + 2544*b77*b562 + 
    2208*b77*b563 + 464*b77*b564 + 6148*b77*b565 + 5336*b77*b566 + 496*b77*b567
     + 6572*b77*b568 + 5704*b77*b569 + 392*b77*b570 + 5194*b77*b571 + 4508*b77*
    b572 + 752*b77*b573 + 9964*b77*b574 + 8648*b77*b575 + 736*b77*b576 + 9752*
    b77*b577 + 8464*b77*b578 + 504*b77*b579 + 6678*b77*b580 + 5796*b77*b581 + 
    104*b77*b582 + 1378*b77*b583 + 1196*b77*b584 + 360*b77*b585 + 4770*b77*b586
     + 4140*b77*b587 + 176*b77*b588 + 2332*b77*b589 + 2024*b77*b590 + 552*b77*
    b591 + 7314*b77*b592 + 6348*b77*b593 + 560*b77*b594 + 7420*b77*b595 + 6440*
    b77*b596 + 144*b77*b597 + 1908*b77*b598 + 1656*b77*b599 + 4928*b77*b600 + 
    1280*b77*b601 + 5312*b77*b602 + 1856*b77*b603 + 3840*b77*b604 + 3648*b77*
    b605 + 4992*b77*b606 + 3712*b77*b608 + 3520*b77*b609 + 1216*b77*b610 + 5440
    *b77*b611 + 3328*b77*b612 + 2176*b77*b613 + 3392*b77*b614 + 2560*b77*b615
     + 4416*b77*b616 + 768*b77*b617 + 5440*b77*b618 + 4608*b77*b619 + 448*b77*
    b620 + 3136*b77*b621 + 2944*b77*b622 + 3584*b77*b623 + 480*b77*b624 + 6360*
    b77*b625 + 5520*b77*b626 + 2064*b78*b91 + 1776*b78*b92 + 504*b78*b93 + 2304
    *b78*b94 + 264*b78*b95 + 1728*b78*b96 + 1512*b78*b97 + 2184*b78*b98 + 1392*
    b78*b99 + 2088*b78*b101 + 1392*b78*b102 + 408*b78*b103 + 1632*b78*b104 + 
    648*b78*b105 + 144*b78*b106 + 1608*b78*b107 + 624*b78*b108 + 1968*b78*b109
     + 1056*b78*b110 + 840*b78*b111 + 72*b78*b112 + 15652*b78*b113 + 13468*b78*
    b114 + 3822*b78*b115 + 17472*b78*b116 + 2002*b78*b117 + 13104*b78*b118 + 
    11466*b78*b119 + 16562*b78*b120 + 10556*b78*b121 + 15834*b78*b123 + 10556*
    b78*b124 + 3094*b78*b125 + 12376*b78*b126 + 4914*b78*b127 + 1092*b78*b128
     + 12194*b78*b129 + 4732*b78*b130 + 14924*b78*b131 + 8008*b78*b132 + 6370*
    b78*b133 + 546*b78*b134 + 10836*b78*b135 + 9324*b78*b136 + 2646*b78*b137 + 
    12096*b78*b138 + 1386*b78*b139 + 9072*b78*b140 + 7938*b78*b141 + 11466*b78*
    b142 + 7308*b78*b143 + 10962*b78*b145 + 7308*b78*b146 + 2142*b78*b147 + 
    8568*b78*b148 + 3402*b78*b149 + 756*b78*b150 + 8442*b78*b151 + 3276*b78*
    b152 + 10332*b78*b153 + 5544*b78*b154 + 4410*b78*b155 + 378*b78*b156 + 
    12040*b78*b157 + 10360*b78*b158 + 2940*b78*b159 + 13440*b78*b160 + 1540*b78
    *b161 + 10080*b78*b162 + 8820*b78*b163 + 12740*b78*b164 + 8120*b78*b165 + 
    12180*b78*b167 + 8120*b78*b168 + 2380*b78*b169 + 9520*b78*b170 + 3780*b78*
    b171 + 840*b78*b172 + 9380*b78*b173 + 3640*b78*b174 + 11480*b78*b175 + 6160
    *b78*b176 + 4900*b78*b177 + 420*b78*b178 + 172*b78*b179 + 148*b78*b180 + 42
    *b78*b181 + 192*b78*b182 + 22*b78*b183 + 144*b78*b184 + 126*b78*b185 + 182*
    b78*b186 + 116*b78*b187 + 174*b78*b189 + 116*b78*b190 + 34*b78*b191 + 136*
    b78*b192 + 54*b78*b193 + 12*b78*b194 + 134*b78*b195 + 52*b78*b196 + 164*b78
    *b197 + 88*b78*b198 + 70*b78*b199 + 6*b78*b200 + 3784*b78*b201 + 3256*b78*
    b202 + 924*b78*b203 + 4224*b78*b204 + 484*b78*b205 + 3168*b78*b206 + 2772*
    b78*b207 + 4004*b78*b208 + 2552*b78*b209 + 3828*b78*b211 + 2552*b78*b212 + 
    748*b78*b213 + 2992*b78*b214 + 1188*b78*b215 + 264*b78*b216 + 2948*b78*b217
     + 1144*b78*b218 + 3608*b78*b219 + 1936*b78*b220 + 1540*b78*b221 + 132*b78*
    b222 + 8428*b78*b223 + 7252*b78*b224 + 2058*b78*b225 + 9408*b78*b226 + 1078
    *b78*b227 + 7056*b78*b228 + 6174*b78*b229 + 8918*b78*b230 + 5684*b78*b231
     + 8526*b78*b233 + 5684*b78*b234 + 1666*b78*b235 + 6664*b78*b236 + 2646*b78
    *b237 + 588*b78*b238 + 6566*b78*b239 + 2548*b78*b240 + 8036*b78*b241 + 4312
    *b78*b242 + 3430*b78*b243 + 294*b78*b244 + 4128*b78*b245 + 3552*b78*b246 + 
    1008*b78*b247 + 4608*b78*b248 + 528*b78*b249 + 3456*b78*b250 + 3024*b78*
    b251 + 4368*b78*b252 + 2784*b78*b253 + 4176*b78*b255 + 2784*b78*b256 + 816*
    b78*b257 + 3264*b78*b258 + 1296*b78*b259 + 288*b78*b260 + 3216*b78*b261 + 
    1248*b78*b262 + 3936*b78*b263 + 2112*b78*b264 + 1680*b78*b265 + 144*b78*
    b266 + 9976*b78*b267 + 8584*b78*b268 + 2436*b78*b269 + 11136*b78*b270 + 
    1276*b78*b271 + 8352*b78*b272 + 7308*b78*b273 + 10556*b78*b274 + 6728*b78*
    b275 + 10092*b78*b277 + 6728*b78*b278 + 1972*b78*b279 + 7888*b78*b280 + 
    3132*b78*b281 + 696*b78*b282 + 7772*b78*b283 + 3016*b78*b284 + 9512*b78*
    b285 + 5104*b78*b286 + 4060*b78*b287 + 348*b78*b288 + 10664*b78*b289 + 9176
    *b78*b290 + 2604*b78*b291 + 11904*b78*b292 + 1364*b78*b293 + 8928*b78*b294
     + 7812*b78*b295 + 11284*b78*b296 + 7192*b78*b297 + 10788*b78*b299 + 7192*
    b78*b300 + 2108*b78*b301 + 8432*b78*b302 + 3348*b78*b303 + 744*b78*b304 + 
    8308*b78*b305 + 3224*b78*b306 + 10168*b78*b307 + 5456*b78*b308 + 4340*b78*
    b309 + 372*b78*b310 + 8428*b78*b311 + 7252*b78*b312 + 2058*b78*b313 + 9408*
    b78*b314 + 1078*b78*b315 + 7056*b78*b316 + 6174*b78*b317 + 8918*b78*b318 + 
    5684*b78*b319 + 8526*b78*b321 + 5684*b78*b322 + 1666*b78*b323 + 6664*b78*
    b324 + 2646*b78*b325 + 588*b78*b326 + 6566*b78*b327 + 2548*b78*b328 + 8036*
    b78*b329 + 4312*b78*b330 + 3430*b78*b331 + 294*b78*b332 + 16168*b78*b333 + 
    13912*b78*b334 + 3948*b78*b335 + 18048*b78*b336 + 2068*b78*b337 + 13536*b78
    *b338 + 11844*b78*b339 + 17108*b78*b340 + 10904*b78*b341 + 16356*b78*b343
     + 10904*b78*b344 + 3196*b78*b345 + 12784*b78*b346 + 5076*b78*b347 + 1128*
    b78*b348 + 12596*b78*b349 + 4888*b78*b350 + 15416*b78*b351 + 8272*b78*b352
     + 6580*b78*b353 + 564*b78*b354 + 15824*b78*b355 + 13616*b78*b356 + 3864*
    b78*b357 + 17664*b78*b358 + 2024*b78*b359 + 13248*b78*b360 + 11592*b78*b361
     + 16744*b78*b362 + 10672*b78*b363 + 16008*b78*b365 + 10672*b78*b366 + 3128
    *b78*b367 + 12512*b78*b368 + 4968*b78*b369 + 1104*b78*b370 + 12328*b78*b371
     + 4784*b78*b372 + 15088*b78*b373 + 8096*b78*b374 + 6440*b78*b375 + 552*b78
    *b376 + 10836*b78*b377 + 9324*b78*b378 + 2646*b78*b379 + 12096*b78*b380 + 
    1386*b78*b381 + 9072*b78*b382 + 7938*b78*b383 + 11466*b78*b384 + 7308*b78*
    b385 + 10962*b78*b387 + 7308*b78*b388 + 2142*b78*b389 + 8568*b78*b390 + 
    3402*b78*b391 + 756*b78*b392 + 8442*b78*b393 + 3276*b78*b394 + 10332*b78*
    b395 + 5544*b78*b396 + 4410*b78*b397 + 378*b78*b398 + 2236*b78*b399 + 1924*
    b78*b400 + 546*b78*b401 + 2496*b78*b402 + 286*b78*b403 + 1872*b78*b404 + 
    1638*b78*b405 + 2366*b78*b406 + 1508*b78*b407 + 2262*b78*b409 + 1508*b78*
    b410 + 442*b78*b411 + 1768*b78*b412 + 702*b78*b413 + 156*b78*b414 + 1742*
    b78*b415 + 676*b78*b416 + 2132*b78*b417 + 1144*b78*b418 + 910*b78*b419 + 78
    *b78*b420 + 7740*b78*b421 + 6660*b78*b422 + 1890*b78*b423 + 8640*b78*b424
     + 990*b78*b425 + 6480*b78*b426 + 5670*b78*b427 + 8190*b78*b428 + 5220*b78*
    b429 + 7830*b78*b431 + 5220*b78*b432 + 1530*b78*b433 + 6120*b78*b434 + 2430
    *b78*b435 + 540*b78*b436 + 6030*b78*b437 + 2340*b78*b438 + 7380*b78*b439 + 
    3960*b78*b440 + 3150*b78*b441 + 270*b78*b442 + 3784*b78*b443 + 3256*b78*
    b444 + 924*b78*b445 + 4224*b78*b446 + 484*b78*b447 + 3168*b78*b448 + 2772*
    b78*b449 + 4004*b78*b450 + 2552*b78*b451 + 3828*b78*b453 + 2552*b78*b454 + 
    748*b78*b455 + 2992*b78*b456 + 1188*b78*b457 + 264*b78*b458 + 2948*b78*b459
     + 1144*b78*b460 + 3608*b78*b461 + 1936*b78*b462 + 1540*b78*b463 + 132*b78*
    b464 + 11868*b78*b465 + 10212*b78*b466 + 2898*b78*b467 + 13248*b78*b468 + 
    1518*b78*b469 + 9936*b78*b470 + 8694*b78*b471 + 12558*b78*b472 + 8004*b78*
    b473 + 12006*b78*b475 + 8004*b78*b476 + 2346*b78*b477 + 9384*b78*b478 + 
    3726*b78*b479 + 828*b78*b480 + 9246*b78*b481 + 3588*b78*b482 + 11316*b78*
    b483 + 6072*b78*b484 + 4830*b78*b485 + 414*b78*b486 + 12040*b78*b487 + 
    10360*b78*b488 + 2940*b78*b489 + 13440*b78*b490 + 1540*b78*b491 + 10080*b78
    *b492 + 8820*b78*b493 + 12740*b78*b494 + 8120*b78*b495 + 12180*b78*b497 + 
    8120*b78*b498 + 2380*b78*b499 + 9520*b78*b500 + 3780*b78*b501 + 840*b78*
    b502 + 9380*b78*b503 + 3640*b78*b504 + 11480*b78*b505 + 6160*b78*b506 + 
    4900*b78*b507 + 420*b78*b508 + 3096*b78*b509 + 2664*b78*b510 + 756*b78*b511
     + 3456*b78*b512 + 396*b78*b513 + 2592*b78*b514 + 2268*b78*b515 + 3276*b78*
    b516 + 2088*b78*b517 + 3132*b78*b519 + 2088*b78*b520 + 612*b78*b521 + 2448*
    b78*b522 + 972*b78*b523 + 216*b78*b524 + 2412*b78*b525 + 936*b78*b526 + 
    2952*b78*b527 + 1584*b78*b528 + 1260*b78*b529 + 108*b78*b530 + 2394*b78*
    b531 + 798*b78*b532 + 2356*b78*b533 + 252*b78*b534 + 84*b78*b535 + 248*b78*
    b536 + 1512*b78*b540 + 504*b78*b541 + 1488*b78*b542 + 11466*b78*b543 + 3822
    *b78*b544 + 11284*b78*b545 + 7938*b78*b546 + 2646*b78*b547 + 7812*b78*b548
     + 8820*b78*b549 + 2940*b78*b550 + 8680*b78*b551 + 126*b78*b552 + 42*b78*
    b553 + 124*b78*b554 + 2772*b78*b555 + 924*b78*b556 + 2728*b78*b557 + 6174*
    b78*b558 + 2058*b78*b559 + 6076*b78*b560 + 3024*b78*b561 + 1008*b78*b562 + 
    2976*b78*b563 + 7308*b78*b564 + 2436*b78*b565 + 7192*b78*b566 + 7812*b78*
    b567 + 2604*b78*b568 + 7688*b78*b569 + 6174*b78*b570 + 2058*b78*b571 + 6076
    *b78*b572 + 11844*b78*b573 + 3948*b78*b574 + 11656*b78*b575 + 11592*b78*
    b576 + 3864*b78*b577 + 11408*b78*b578 + 7938*b78*b579 + 2646*b78*b580 + 
    7812*b78*b581 + 1638*b78*b582 + 546*b78*b583 + 1612*b78*b584 + 5670*b78*
    b585 + 1890*b78*b586 + 5580*b78*b587 + 2772*b78*b588 + 924*b78*b589 + 2728*
    b78*b590 + 8694*b78*b591 + 2898*b78*b592 + 8556*b78*b593 + 8820*b78*b594 + 
    2940*b78*b595 + 8680*b78*b596 + 2268*b78*b597 + 756*b78*b598 + 2232*b78*
    b599 + 4736*b78*b600 + 1344*b78*b601 + 6144*b78*b602 + 704*b78*b603 + 4608*
    b78*b604 + 4032*b78*b605 + 5824*b78*b606 + 3712*b78*b607 + 5568*b78*b609 + 
    3712*b78*b610 + 1088*b78*b611 + 4352*b78*b612 + 1728*b78*b613 + 1344*b78*
    b614 + 384*b78*b615 + 4288*b78*b616 + 1664*b78*b617 + 5248*b78*b618 + 2816*
    b78*b619 + 2240*b78*b620 + 192*b78*b621 + 3968*b78*b622 + 5504*b78*b623 + 
    7560*b78*b624 + 2520*b78*b625 + 7440*b78*b626 + 1080*b79*b91 + 720*b79*b92
     + 1464*b79*b93 + 1776*b79*b94 + 1848*b79*b95 + 1776*b79*b96 + 144*b79*b97
     + 312*b79*b98 + 1320*b79*b99 + 2088*b79*b100 + 192*b79*b102 + 1224*b79*
    b103 + 24*b79*b104 + 2184*b79*b105 + 2088*b79*b106 + 1728*b79*b107 + 1080*
    b79*b108 + 2304*b79*b109 + 168*b79*b110 + 2088*b79*b111 + 1632*b79*b112 + 
    8190*b79*b113 + 5460*b79*b114 + 11102*b79*b115 + 13468*b79*b116 + 14014*b79
    *b117 + 13468*b79*b118 + 1092*b79*b119 + 2366*b79*b120 + 10010*b79*b121 + 
    15834*b79*b122 + 1456*b79*b124 + 9282*b79*b125 + 182*b79*b126 + 16562*b79*
    b127 + 15834*b79*b128 + 13104*b79*b129 + 8190*b79*b130 + 17472*b79*b131 + 
    1274*b79*b132 + 15834*b79*b133 + 12376*b79*b134 + 5670*b79*b135 + 3780*b79*
    b136 + 7686*b79*b137 + 9324*b79*b138 + 9702*b79*b139 + 9324*b79*b140 + 756*
    b79*b141 + 1638*b79*b142 + 6930*b79*b143 + 10962*b79*b144 + 1008*b79*b146
     + 6426*b79*b147 + 126*b79*b148 + 11466*b79*b149 + 10962*b79*b150 + 9072*
    b79*b151 + 5670*b79*b152 + 12096*b79*b153 + 882*b79*b154 + 10962*b79*b155
     + 8568*b79*b156 + 6300*b79*b157 + 4200*b79*b158 + 8540*b79*b159 + 10360*
    b79*b160 + 10780*b79*b161 + 10360*b79*b162 + 840*b79*b163 + 1820*b79*b164
     + 7700*b79*b165 + 12180*b79*b166 + 1120*b79*b168 + 7140*b79*b169 + 140*b79
    *b170 + 12740*b79*b171 + 12180*b79*b172 + 10080*b79*b173 + 6300*b79*b174 + 
    13440*b79*b175 + 980*b79*b176 + 12180*b79*b177 + 9520*b79*b178 + 90*b79*
    b179 + 60*b79*b180 + 122*b79*b181 + 148*b79*b182 + 154*b79*b183 + 148*b79*
    b184 + 12*b79*b185 + 26*b79*b186 + 110*b79*b187 + 174*b79*b188 + 16*b79*
    b190 + 102*b79*b191 + 2*b79*b192 + 182*b79*b193 + 174*b79*b194 + 144*b79*
    b195 + 90*b79*b196 + 192*b79*b197 + 14*b79*b198 + 174*b79*b199 + 136*b79*
    b200 + 1980*b79*b201 + 1320*b79*b202 + 2684*b79*b203 + 3256*b79*b204 + 3388
    *b79*b205 + 3256*b79*b206 + 264*b79*b207 + 572*b79*b208 + 2420*b79*b209 + 
    3828*b79*b210 + 352*b79*b212 + 2244*b79*b213 + 44*b79*b214 + 4004*b79*b215
     + 3828*b79*b216 + 3168*b79*b217 + 1980*b79*b218 + 4224*b79*b219 + 308*b79*
    b220 + 3828*b79*b221 + 2992*b79*b222 + 4410*b79*b223 + 2940*b79*b224 + 5978
    *b79*b225 + 7252*b79*b226 + 7546*b79*b227 + 7252*b79*b228 + 588*b79*b229 + 
    1274*b79*b230 + 5390*b79*b231 + 8526*b79*b232 + 784*b79*b234 + 4998*b79*
    b235 + 98*b79*b236 + 8918*b79*b237 + 8526*b79*b238 + 7056*b79*b239 + 4410*
    b79*b240 + 9408*b79*b241 + 686*b79*b242 + 8526*b79*b243 + 6664*b79*b244 + 
    2160*b79*b245 + 1440*b79*b246 + 2928*b79*b247 + 3552*b79*b248 + 3696*b79*
    b249 + 3552*b79*b250 + 288*b79*b251 + 624*b79*b252 + 2640*b79*b253 + 4176*
    b79*b254 + 384*b79*b256 + 2448*b79*b257 + 48*b79*b258 + 4368*b79*b259 + 
    4176*b79*b260 + 3456*b79*b261 + 2160*b79*b262 + 4608*b79*b263 + 336*b79*
    b264 + 4176*b79*b265 + 3264*b79*b266 + 5220*b79*b267 + 3480*b79*b268 + 7076
    *b79*b269 + 8584*b79*b270 + 8932*b79*b271 + 8584*b79*b272 + 696*b79*b273 + 
    1508*b79*b274 + 6380*b79*b275 + 10092*b79*b276 + 928*b79*b278 + 5916*b79*
    b279 + 116*b79*b280 + 10556*b79*b281 + 10092*b79*b282 + 8352*b79*b283 + 
    5220*b79*b284 + 11136*b79*b285 + 812*b79*b286 + 10092*b79*b287 + 7888*b79*
    b288 + 5580*b79*b289 + 3720*b79*b290 + 7564*b79*b291 + 9176*b79*b292 + 9548
    *b79*b293 + 9176*b79*b294 + 744*b79*b295 + 1612*b79*b296 + 6820*b79*b297 + 
    10788*b79*b298 + 992*b79*b300 + 6324*b79*b301 + 124*b79*b302 + 11284*b79*
    b303 + 10788*b79*b304 + 8928*b79*b305 + 5580*b79*b306 + 11904*b79*b307 + 
    868*b79*b308 + 10788*b79*b309 + 8432*b79*b310 + 4410*b79*b311 + 2940*b79*
    b312 + 5978*b79*b313 + 7252*b79*b314 + 7546*b79*b315 + 7252*b79*b316 + 588*
    b79*b317 + 1274*b79*b318 + 5390*b79*b319 + 8526*b79*b320 + 784*b79*b322 + 
    4998*b79*b323 + 98*b79*b324 + 8918*b79*b325 + 8526*b79*b326 + 7056*b79*b327
     + 4410*b79*b328 + 9408*b79*b329 + 686*b79*b330 + 8526*b79*b331 + 6664*b79*
    b332 + 8460*b79*b333 + 5640*b79*b334 + 11468*b79*b335 + 13912*b79*b336 + 
    14476*b79*b337 + 13912*b79*b338 + 1128*b79*b339 + 2444*b79*b340 + 10340*b79
    *b341 + 16356*b79*b342 + 1504*b79*b344 + 9588*b79*b345 + 188*b79*b346 + 
    17108*b79*b347 + 16356*b79*b348 + 13536*b79*b349 + 8460*b79*b350 + 18048*
    b79*b351 + 1316*b79*b352 + 16356*b79*b353 + 12784*b79*b354 + 8280*b79*b355
     + 5520*b79*b356 + 11224*b79*b357 + 13616*b79*b358 + 14168*b79*b359 + 13616
    *b79*b360 + 1104*b79*b361 + 2392*b79*b362 + 10120*b79*b363 + 16008*b79*b364
     + 1472*b79*b366 + 9384*b79*b367 + 184*b79*b368 + 16744*b79*b369 + 16008*
    b79*b370 + 13248*b79*b371 + 8280*b79*b372 + 17664*b79*b373 + 1288*b79*b374
     + 16008*b79*b375 + 12512*b79*b376 + 5670*b79*b377 + 3780*b79*b378 + 7686*
    b79*b379 + 9324*b79*b380 + 9702*b79*b381 + 9324*b79*b382 + 756*b79*b383 + 
    1638*b79*b384 + 6930*b79*b385 + 10962*b79*b386 + 1008*b79*b388 + 6426*b79*
    b389 + 126*b79*b390 + 11466*b79*b391 + 10962*b79*b392 + 9072*b79*b393 + 
    5670*b79*b394 + 12096*b79*b395 + 882*b79*b396 + 10962*b79*b397 + 8568*b79*
    b398 + 1170*b79*b399 + 780*b79*b400 + 1586*b79*b401 + 1924*b79*b402 + 2002*
    b79*b403 + 1924*b79*b404 + 156*b79*b405 + 338*b79*b406 + 1430*b79*b407 + 
    2262*b79*b408 + 208*b79*b410 + 1326*b79*b411 + 26*b79*b412 + 2366*b79*b413
     + 2262*b79*b414 + 1872*b79*b415 + 1170*b79*b416 + 2496*b79*b417 + 182*b79*
    b418 + 2262*b79*b419 + 1768*b79*b420 + 4050*b79*b421 + 2700*b79*b422 + 5490
    *b79*b423 + 6660*b79*b424 + 6930*b79*b425 + 6660*b79*b426 + 540*b79*b427 + 
    1170*b79*b428 + 4950*b79*b429 + 7830*b79*b430 + 720*b79*b432 + 4590*b79*
    b433 + 90*b79*b434 + 8190*b79*b435 + 7830*b79*b436 + 6480*b79*b437 + 4050*
    b79*b438 + 8640*b79*b439 + 630*b79*b440 + 7830*b79*b441 + 6120*b79*b442 + 
    1980*b79*b443 + 1320*b79*b444 + 2684*b79*b445 + 3256*b79*b446 + 3388*b79*
    b447 + 3256*b79*b448 + 264*b79*b449 + 572*b79*b450 + 2420*b79*b451 + 3828*
    b79*b452 + 352*b79*b454 + 2244*b79*b455 + 44*b79*b456 + 4004*b79*b457 + 
    3828*b79*b458 + 3168*b79*b459 + 1980*b79*b460 + 4224*b79*b461 + 308*b79*
    b462 + 3828*b79*b463 + 2992*b79*b464 + 6210*b79*b465 + 4140*b79*b466 + 8418
    *b79*b467 + 10212*b79*b468 + 10626*b79*b469 + 10212*b79*b470 + 828*b79*b471
     + 1794*b79*b472 + 7590*b79*b473 + 12006*b79*b474 + 1104*b79*b476 + 7038*
    b79*b477 + 138*b79*b478 + 12558*b79*b479 + 12006*b79*b480 + 9936*b79*b481
     + 6210*b79*b482 + 13248*b79*b483 + 966*b79*b484 + 12006*b79*b485 + 9384*
    b79*b486 + 6300*b79*b487 + 4200*b79*b488 + 8540*b79*b489 + 10360*b79*b490
     + 10780*b79*b491 + 10360*b79*b492 + 840*b79*b493 + 1820*b79*b494 + 7700*
    b79*b495 + 12180*b79*b496 + 1120*b79*b498 + 7140*b79*b499 + 140*b79*b500 + 
    12740*b79*b501 + 12180*b79*b502 + 10080*b79*b503 + 6300*b79*b504 + 13440*
    b79*b505 + 980*b79*b506 + 12180*b79*b507 + 9520*b79*b508 + 1620*b79*b509 + 
    1080*b79*b510 + 2196*b79*b511 + 2664*b79*b512 + 2772*b79*b513 + 2664*b79*
    b514 + 216*b79*b515 + 468*b79*b516 + 1980*b79*b517 + 3132*b79*b518 + 288*
    b79*b520 + 1836*b79*b521 + 36*b79*b522 + 3276*b79*b523 + 3132*b79*b524 + 
    2592*b79*b525 + 1620*b79*b526 + 3456*b79*b527 + 252*b79*b528 + 3132*b79*
    b529 + 2448*b79*b530 + 228*b79*b531 + 1482*b79*b532 + 1254*b79*b533 + 24*
    b79*b534 + 156*b79*b535 + 132*b79*b536 + 144*b79*b540 + 936*b79*b541 + 792*
    b79*b542 + 1092*b79*b543 + 7098*b79*b544 + 6006*b79*b545 + 756*b79*b546 + 
    4914*b79*b547 + 4158*b79*b548 + 840*b79*b549 + 5460*b79*b550 + 4620*b79*
    b551 + 12*b79*b552 + 78*b79*b553 + 66*b79*b554 + 264*b79*b555 + 1716*b79*
    b556 + 1452*b79*b557 + 588*b79*b558 + 3822*b79*b559 + 3234*b79*b560 + 288*
    b79*b561 + 1872*b79*b562 + 1584*b79*b563 + 696*b79*b564 + 4524*b79*b565 + 
    3828*b79*b566 + 744*b79*b567 + 4836*b79*b568 + 4092*b79*b569 + 588*b79*b570
     + 3822*b79*b571 + 3234*b79*b572 + 1128*b79*b573 + 7332*b79*b574 + 6204*b79
    *b575 + 1104*b79*b576 + 7176*b79*b577 + 6072*b79*b578 + 756*b79*b579 + 4914
    *b79*b580 + 4158*b79*b581 + 156*b79*b582 + 1014*b79*b583 + 858*b79*b584 + 
    540*b79*b585 + 3510*b79*b586 + 2970*b79*b587 + 264*b79*b588 + 1716*b79*b589
     + 1452*b79*b590 + 828*b79*b591 + 5382*b79*b592 + 4554*b79*b593 + 840*b79*
    b594 + 5460*b79*b595 + 4620*b79*b596 + 216*b79*b597 + 1404*b79*b598 + 1188*
    b79*b599 + 1920*b79*b600 + 3904*b79*b601 + 4736*b79*b602 + 4928*b79*b603 + 
    4736*b79*b604 + 384*b79*b605 + 832*b79*b606 + 3520*b79*b607 + 5568*b79*b608
     + 512*b79*b610 + 3264*b79*b611 + 64*b79*b612 + 5824*b79*b613 + 2496*b79*
    b614 + 5568*b79*b615 + 4608*b79*b616 + 2880*b79*b617 + 6144*b79*b618 + 448*
    b79*b619 + 5568*b79*b620 + 4352*b79*b621 + 2112*b79*b622 + 2880*b79*b623 + 
    720*b79*b624 + 4680*b79*b625 + 3960*b79*b626 + 2184*b80*b91 + 2136*b80*b92
     + 1920*b80*b93 + 1080*b80*b94 + 768*b80*b95 + 1104*b80*b96 + 1416*b80*b98
     + 456*b80*b99 + 1392*b80*b100 + 192*b80*b101 + 72*b80*b103 + 504*b80*b104
     + 2160*b80*b105 + 1128*b80*b106 + 600*b80*b107 + 720*b80*b108 + 1032*b80*
    b109 + 2328*b80*b110 + 792*b80*b111 + 840*b80*b112 + 16562*b80*b113 + 16198
    *b80*b114 + 14560*b80*b115 + 8190*b80*b116 + 5824*b80*b117 + 8372*b80*b118
     + 10738*b80*b120 + 3458*b80*b121 + 10556*b80*b122 + 1456*b80*b123 + 546*
    b80*b125 + 3822*b80*b126 + 16380*b80*b127 + 8554*b80*b128 + 4550*b80*b129
     + 5460*b80*b130 + 7826*b80*b131 + 17654*b80*b132 + 6006*b80*b133 + 6370*
    b80*b134 + 11466*b80*b135 + 11214*b80*b136 + 10080*b80*b137 + 5670*b80*b138
     + 4032*b80*b139 + 5796*b80*b140 + 7434*b80*b142 + 2394*b80*b143 + 7308*b80
    *b144 + 1008*b80*b145 + 378*b80*b147 + 2646*b80*b148 + 11340*b80*b149 + 
    5922*b80*b150 + 3150*b80*b151 + 3780*b80*b152 + 5418*b80*b153 + 12222*b80*
    b154 + 4158*b80*b155 + 4410*b80*b156 + 12740*b80*b157 + 12460*b80*b158 + 
    11200*b80*b159 + 6300*b80*b160 + 4480*b80*b161 + 6440*b80*b162 + 8260*b80*
    b164 + 2660*b80*b165 + 8120*b80*b166 + 1120*b80*b167 + 420*b80*b169 + 2940*
    b80*b170 + 12600*b80*b171 + 6580*b80*b172 + 3500*b80*b173 + 4200*b80*b174
     + 6020*b80*b175 + 13580*b80*b176 + 4620*b80*b177 + 4900*b80*b178 + 182*b80
    *b179 + 178*b80*b180 + 160*b80*b181 + 90*b80*b182 + 64*b80*b183 + 92*b80*
    b184 + 118*b80*b186 + 38*b80*b187 + 116*b80*b188 + 16*b80*b189 + 6*b80*b191
     + 42*b80*b192 + 180*b80*b193 + 94*b80*b194 + 50*b80*b195 + 60*b80*b196 + 
    86*b80*b197 + 194*b80*b198 + 66*b80*b199 + 70*b80*b200 + 4004*b80*b201 + 
    3916*b80*b202 + 3520*b80*b203 + 1980*b80*b204 + 1408*b80*b205 + 2024*b80*
    b206 + 2596*b80*b208 + 836*b80*b209 + 2552*b80*b210 + 352*b80*b211 + 132*
    b80*b213 + 924*b80*b214 + 3960*b80*b215 + 2068*b80*b216 + 1100*b80*b217 + 
    1320*b80*b218 + 1892*b80*b219 + 4268*b80*b220 + 1452*b80*b221 + 1540*b80*
    b222 + 8918*b80*b223 + 8722*b80*b224 + 7840*b80*b225 + 4410*b80*b226 + 3136
    *b80*b227 + 4508*b80*b228 + 5782*b80*b230 + 1862*b80*b231 + 5684*b80*b232
     + 784*b80*b233 + 294*b80*b235 + 2058*b80*b236 + 8820*b80*b237 + 4606*b80*
    b238 + 2450*b80*b239 + 2940*b80*b240 + 4214*b80*b241 + 9506*b80*b242 + 3234
    *b80*b243 + 3430*b80*b244 + 4368*b80*b245 + 4272*b80*b246 + 3840*b80*b247
     + 2160*b80*b248 + 1536*b80*b249 + 2208*b80*b250 + 2832*b80*b252 + 912*b80*
    b253 + 2784*b80*b254 + 384*b80*b255 + 144*b80*b257 + 1008*b80*b258 + 4320*
    b80*b259 + 2256*b80*b260 + 1200*b80*b261 + 1440*b80*b262 + 2064*b80*b263 + 
    4656*b80*b264 + 1584*b80*b265 + 1680*b80*b266 + 10556*b80*b267 + 10324*b80*
    b268 + 9280*b80*b269 + 5220*b80*b270 + 3712*b80*b271 + 5336*b80*b272 + 6844
    *b80*b274 + 2204*b80*b275 + 6728*b80*b276 + 928*b80*b277 + 348*b80*b279 + 
    2436*b80*b280 + 10440*b80*b281 + 5452*b80*b282 + 2900*b80*b283 + 3480*b80*
    b284 + 4988*b80*b285 + 11252*b80*b286 + 3828*b80*b287 + 4060*b80*b288 + 
    11284*b80*b289 + 11036*b80*b290 + 9920*b80*b291 + 5580*b80*b292 + 3968*b80*
    b293 + 5704*b80*b294 + 7316*b80*b296 + 2356*b80*b297 + 7192*b80*b298 + 992*
    b80*b299 + 372*b80*b301 + 2604*b80*b302 + 11160*b80*b303 + 5828*b80*b304 + 
    3100*b80*b305 + 3720*b80*b306 + 5332*b80*b307 + 12028*b80*b308 + 4092*b80*
    b309 + 4340*b80*b310 + 8918*b80*b311 + 8722*b80*b312 + 7840*b80*b313 + 4410
    *b80*b314 + 3136*b80*b315 + 4508*b80*b316 + 5782*b80*b318 + 1862*b80*b319
     + 5684*b80*b320 + 784*b80*b321 + 294*b80*b323 + 2058*b80*b324 + 8820*b80*
    b325 + 4606*b80*b326 + 2450*b80*b327 + 2940*b80*b328 + 4214*b80*b329 + 9506
    *b80*b330 + 3234*b80*b331 + 3430*b80*b332 + 17108*b80*b333 + 16732*b80*b334
     + 15040*b80*b335 + 8460*b80*b336 + 6016*b80*b337 + 8648*b80*b338 + 11092*
    b80*b340 + 3572*b80*b341 + 10904*b80*b342 + 1504*b80*b343 + 564*b80*b345 + 
    3948*b80*b346 + 16920*b80*b347 + 8836*b80*b348 + 4700*b80*b349 + 5640*b80*
    b350 + 8084*b80*b351 + 18236*b80*b352 + 6204*b80*b353 + 6580*b80*b354 + 
    16744*b80*b355 + 16376*b80*b356 + 14720*b80*b357 + 8280*b80*b358 + 5888*b80
    *b359 + 8464*b80*b360 + 10856*b80*b362 + 3496*b80*b363 + 10672*b80*b364 + 
    1472*b80*b365 + 552*b80*b367 + 3864*b80*b368 + 16560*b80*b369 + 8648*b80*
    b370 + 4600*b80*b371 + 5520*b80*b372 + 7912*b80*b373 + 17848*b80*b374 + 
    6072*b80*b375 + 6440*b80*b376 + 11466*b80*b377 + 11214*b80*b378 + 10080*b80
    *b379 + 5670*b80*b380 + 4032*b80*b381 + 5796*b80*b382 + 7434*b80*b384 + 
    2394*b80*b385 + 7308*b80*b386 + 1008*b80*b387 + 378*b80*b389 + 2646*b80*
    b390 + 11340*b80*b391 + 5922*b80*b392 + 3150*b80*b393 + 3780*b80*b394 + 
    5418*b80*b395 + 12222*b80*b396 + 4158*b80*b397 + 4410*b80*b398 + 2366*b80*
    b399 + 2314*b80*b400 + 2080*b80*b401 + 1170*b80*b402 + 832*b80*b403 + 1196*
    b80*b404 + 1534*b80*b406 + 494*b80*b407 + 1508*b80*b408 + 208*b80*b409 + 78
    *b80*b411 + 546*b80*b412 + 2340*b80*b413 + 1222*b80*b414 + 650*b80*b415 + 
    780*b80*b416 + 1118*b80*b417 + 2522*b80*b418 + 858*b80*b419 + 910*b80*b420
     + 8190*b80*b421 + 8010*b80*b422 + 7200*b80*b423 + 4050*b80*b424 + 2880*b80
    *b425 + 4140*b80*b426 + 5310*b80*b428 + 1710*b80*b429 + 5220*b80*b430 + 720
    *b80*b431 + 270*b80*b433 + 1890*b80*b434 + 8100*b80*b435 + 4230*b80*b436 + 
    2250*b80*b437 + 2700*b80*b438 + 3870*b80*b439 + 8730*b80*b440 + 2970*b80*
    b441 + 3150*b80*b442 + 4004*b80*b443 + 3916*b80*b444 + 3520*b80*b445 + 1980
    *b80*b446 + 1408*b80*b447 + 2024*b80*b448 + 2596*b80*b450 + 836*b80*b451 + 
    2552*b80*b452 + 352*b80*b453 + 132*b80*b455 + 924*b80*b456 + 3960*b80*b457
     + 2068*b80*b458 + 1100*b80*b459 + 1320*b80*b460 + 1892*b80*b461 + 4268*b80
    *b462 + 1452*b80*b463 + 1540*b80*b464 + 12558*b80*b465 + 12282*b80*b466 + 
    11040*b80*b467 + 6210*b80*b468 + 4416*b80*b469 + 6348*b80*b470 + 8142*b80*
    b472 + 2622*b80*b473 + 8004*b80*b474 + 1104*b80*b475 + 414*b80*b477 + 2898*
    b80*b478 + 12420*b80*b479 + 6486*b80*b480 + 3450*b80*b481 + 4140*b80*b482
     + 5934*b80*b483 + 13386*b80*b484 + 4554*b80*b485 + 4830*b80*b486 + 12740*
    b80*b487 + 12460*b80*b488 + 11200*b80*b489 + 6300*b80*b490 + 4480*b80*b491
     + 6440*b80*b492 + 8260*b80*b494 + 2660*b80*b495 + 8120*b80*b496 + 1120*b80
    *b497 + 420*b80*b499 + 2940*b80*b500 + 12600*b80*b501 + 6580*b80*b502 + 
    3500*b80*b503 + 4200*b80*b504 + 6020*b80*b505 + 13580*b80*b506 + 4620*b80*
    b507 + 4900*b80*b508 + 3276*b80*b509 + 3204*b80*b510 + 2880*b80*b511 + 1620
    *b80*b512 + 1152*b80*b513 + 1656*b80*b514 + 2124*b80*b516 + 684*b80*b517 + 
    2088*b80*b518 + 288*b80*b519 + 108*b80*b521 + 756*b80*b522 + 3240*b80*b523
     + 1692*b80*b524 + 900*b80*b525 + 1080*b80*b526 + 1548*b80*b527 + 3492*b80*
    b528 + 1188*b80*b529 + 1260*b80*b530 + 1672*b80*b531 + 1710*b80*b532 + 2318
    *b80*b533 + 176*b80*b534 + 180*b80*b535 + 244*b80*b536 + 1056*b80*b540 + 
    1080*b80*b541 + 1464*b80*b542 + 8008*b80*b543 + 8190*b80*b544 + 11102*b80*
    b545 + 5544*b80*b546 + 5670*b80*b547 + 7686*b80*b548 + 6160*b80*b549 + 6300
    *b80*b550 + 8540*b80*b551 + 88*b80*b552 + 90*b80*b553 + 122*b80*b554 + 1936
    *b80*b555 + 1980*b80*b556 + 2684*b80*b557 + 4312*b80*b558 + 4410*b80*b559
     + 5978*b80*b560 + 2112*b80*b561 + 2160*b80*b562 + 2928*b80*b563 + 5104*b80
    *b564 + 5220*b80*b565 + 7076*b80*b566 + 5456*b80*b567 + 5580*b80*b568 + 
    7564*b80*b569 + 4312*b80*b570 + 4410*b80*b571 + 5978*b80*b572 + 8272*b80*
    b573 + 8460*b80*b574 + 11468*b80*b575 + 8096*b80*b576 + 8280*b80*b577 + 
    11224*b80*b578 + 5544*b80*b579 + 5670*b80*b580 + 7686*b80*b581 + 1144*b80*
    b582 + 1170*b80*b583 + 1586*b80*b584 + 3960*b80*b585 + 4050*b80*b586 + 5490
    *b80*b587 + 1936*b80*b588 + 1980*b80*b589 + 2684*b80*b590 + 6072*b80*b591
     + 6210*b80*b592 + 8418*b80*b593 + 6160*b80*b594 + 6300*b80*b595 + 8540*b80
    *b596 + 1584*b80*b597 + 1620*b80*b598 + 2196*b80*b599 + 5696*b80*b600 + 
    5120*b80*b601 + 2880*b80*b602 + 2048*b80*b603 + 2944*b80*b604 + 3776*b80*
    b606 + 1216*b80*b607 + 3712*b80*b608 + 512*b80*b609 + 192*b80*b611 + 1344*
    b80*b612 + 5760*b80*b613 + 2880*b80*b614 + 3008*b80*b615 + 1600*b80*b616 + 
    1920*b80*b617 + 2752*b80*b618 + 6208*b80*b619 + 2112*b80*b620 + 2240*b80*
    b621 + 3904*b80*b622 + 5824*b80*b623 + 5280*b80*b624 + 5400*b80*b625 + 7320
    *b80*b626 + 1416*b81*b91 + 1824*b81*b92 + 1392*b81*b93 + 1560*b81*b94 + 
    2088*b81*b95 + 312*b81*b96 + 1488*b81*b97 + 1176*b81*b98 + 2040*b81*b99 + 
    408*b81*b100 + 1224*b81*b101 + 72*b81*b102 + 1008*b81*b104 + 864*b81*b105
     + 168*b81*b106 + 2016*b81*b107 + 144*b81*b108 + 1152*b81*b111 + 1488*b81*
    b112 + 10738*b81*b113 + 13832*b81*b114 + 10556*b81*b115 + 11830*b81*b116 + 
    15834*b81*b117 + 2366*b81*b118 + 11284*b81*b119 + 8918*b81*b120 + 15470*b81
    *b121 + 3094*b81*b122 + 9282*b81*b123 + 546*b81*b124 + 7644*b81*b126 + 6552
    *b81*b127 + 1274*b81*b128 + 15288*b81*b129 + 1092*b81*b130 + 8736*b81*b133
     + 11284*b81*b134 + 7434*b81*b135 + 9576*b81*b136 + 7308*b81*b137 + 8190*
    b81*b138 + 10962*b81*b139 + 1638*b81*b140 + 7812*b81*b141 + 6174*b81*b142
     + 10710*b81*b143 + 2142*b81*b144 + 6426*b81*b145 + 378*b81*b146 + 5292*b81
    *b148 + 4536*b81*b149 + 882*b81*b150 + 10584*b81*b151 + 756*b81*b152 + 6048
    *b81*b155 + 7812*b81*b156 + 8260*b81*b157 + 10640*b81*b158 + 8120*b81*b159
     + 9100*b81*b160 + 12180*b81*b161 + 1820*b81*b162 + 8680*b81*b163 + 6860*
    b81*b164 + 11900*b81*b165 + 2380*b81*b166 + 7140*b81*b167 + 420*b81*b168 + 
    5880*b81*b170 + 5040*b81*b171 + 980*b81*b172 + 11760*b81*b173 + 840*b81*
    b174 + 6720*b81*b177 + 8680*b81*b178 + 118*b81*b179 + 152*b81*b180 + 116*
    b81*b181 + 130*b81*b182 + 174*b81*b183 + 26*b81*b184 + 124*b81*b185 + 98*
    b81*b186 + 170*b81*b187 + 34*b81*b188 + 102*b81*b189 + 6*b81*b190 + 84*b81*
    b192 + 72*b81*b193 + 14*b81*b194 + 168*b81*b195 + 12*b81*b196 + 96*b81*b199
     + 124*b81*b200 + 2596*b81*b201 + 3344*b81*b202 + 2552*b81*b203 + 2860*b81*
    b204 + 3828*b81*b205 + 572*b81*b206 + 2728*b81*b207 + 2156*b81*b208 + 3740*
    b81*b209 + 748*b81*b210 + 2244*b81*b211 + 132*b81*b212 + 1848*b81*b214 + 
    1584*b81*b215 + 308*b81*b216 + 3696*b81*b217 + 264*b81*b218 + 2112*b81*b221
     + 2728*b81*b222 + 5782*b81*b223 + 7448*b81*b224 + 5684*b81*b225 + 6370*b81
    *b226 + 8526*b81*b227 + 1274*b81*b228 + 6076*b81*b229 + 4802*b81*b230 + 
    8330*b81*b231 + 1666*b81*b232 + 4998*b81*b233 + 294*b81*b234 + 4116*b81*
    b236 + 3528*b81*b237 + 686*b81*b238 + 8232*b81*b239 + 588*b81*b240 + 4704*
    b81*b243 + 6076*b81*b244 + 2832*b81*b245 + 3648*b81*b246 + 2784*b81*b247 + 
    3120*b81*b248 + 4176*b81*b249 + 624*b81*b250 + 2976*b81*b251 + 2352*b81*
    b252 + 4080*b81*b253 + 816*b81*b254 + 2448*b81*b255 + 144*b81*b256 + 2016*
    b81*b258 + 1728*b81*b259 + 336*b81*b260 + 4032*b81*b261 + 288*b81*b262 + 
    2304*b81*b265 + 2976*b81*b266 + 6844*b81*b267 + 8816*b81*b268 + 6728*b81*
    b269 + 7540*b81*b270 + 10092*b81*b271 + 1508*b81*b272 + 7192*b81*b273 + 
    5684*b81*b274 + 9860*b81*b275 + 1972*b81*b276 + 5916*b81*b277 + 348*b81*
    b278 + 4872*b81*b280 + 4176*b81*b281 + 812*b81*b282 + 9744*b81*b283 + 696*
    b81*b284 + 5568*b81*b287 + 7192*b81*b288 + 7316*b81*b289 + 9424*b81*b290 + 
    7192*b81*b291 + 8060*b81*b292 + 10788*b81*b293 + 1612*b81*b294 + 7688*b81*
    b295 + 6076*b81*b296 + 10540*b81*b297 + 2108*b81*b298 + 6324*b81*b299 + 372
    *b81*b300 + 5208*b81*b302 + 4464*b81*b303 + 868*b81*b304 + 10416*b81*b305
     + 744*b81*b306 + 5952*b81*b309 + 7688*b81*b310 + 5782*b81*b311 + 7448*b81*
    b312 + 5684*b81*b313 + 6370*b81*b314 + 8526*b81*b315 + 1274*b81*b316 + 6076
    *b81*b317 + 4802*b81*b318 + 8330*b81*b319 + 1666*b81*b320 + 4998*b81*b321
     + 294*b81*b322 + 4116*b81*b324 + 3528*b81*b325 + 686*b81*b326 + 8232*b81*
    b327 + 588*b81*b328 + 4704*b81*b331 + 6076*b81*b332 + 11092*b81*b333 + 
    14288*b81*b334 + 10904*b81*b335 + 12220*b81*b336 + 16356*b81*b337 + 2444*
    b81*b338 + 11656*b81*b339 + 9212*b81*b340 + 15980*b81*b341 + 3196*b81*b342
     + 9588*b81*b343 + 564*b81*b344 + 7896*b81*b346 + 6768*b81*b347 + 1316*b81*
    b348 + 15792*b81*b349 + 1128*b81*b350 + 9024*b81*b353 + 11656*b81*b354 + 
    10856*b81*b355 + 13984*b81*b356 + 10672*b81*b357 + 11960*b81*b358 + 16008*
    b81*b359 + 2392*b81*b360 + 11408*b81*b361 + 9016*b81*b362 + 15640*b81*b363
     + 3128*b81*b364 + 9384*b81*b365 + 552*b81*b366 + 7728*b81*b368 + 6624*b81*
    b369 + 1288*b81*b370 + 15456*b81*b371 + 1104*b81*b372 + 8832*b81*b375 + 
    11408*b81*b376 + 7434*b81*b377 + 9576*b81*b378 + 7308*b81*b379 + 8190*b81*
    b380 + 10962*b81*b381 + 1638*b81*b382 + 7812*b81*b383 + 6174*b81*b384 + 
    10710*b81*b385 + 2142*b81*b386 + 6426*b81*b387 + 378*b81*b388 + 5292*b81*
    b390 + 4536*b81*b391 + 882*b81*b392 + 10584*b81*b393 + 756*b81*b394 + 6048*
    b81*b397 + 7812*b81*b398 + 1534*b81*b399 + 1976*b81*b400 + 1508*b81*b401 + 
    1690*b81*b402 + 2262*b81*b403 + 338*b81*b404 + 1612*b81*b405 + 1274*b81*
    b406 + 2210*b81*b407 + 442*b81*b408 + 1326*b81*b409 + 78*b81*b410 + 1092*
    b81*b412 + 936*b81*b413 + 182*b81*b414 + 2184*b81*b415 + 156*b81*b416 + 
    1248*b81*b419 + 1612*b81*b420 + 5310*b81*b421 + 6840*b81*b422 + 5220*b81*
    b423 + 5850*b81*b424 + 7830*b81*b425 + 1170*b81*b426 + 5580*b81*b427 + 4410
    *b81*b428 + 7650*b81*b429 + 1530*b81*b430 + 4590*b81*b431 + 270*b81*b432 + 
    3780*b81*b434 + 3240*b81*b435 + 630*b81*b436 + 7560*b81*b437 + 540*b81*b438
     + 4320*b81*b441 + 5580*b81*b442 + 2596*b81*b443 + 3344*b81*b444 + 2552*b81
    *b445 + 2860*b81*b446 + 3828*b81*b447 + 572*b81*b448 + 2728*b81*b449 + 2156
    *b81*b450 + 3740*b81*b451 + 748*b81*b452 + 2244*b81*b453 + 132*b81*b454 + 
    1848*b81*b456 + 1584*b81*b457 + 308*b81*b458 + 3696*b81*b459 + 264*b81*b460
     + 2112*b81*b463 + 2728*b81*b464 + 8142*b81*b465 + 10488*b81*b466 + 8004*
    b81*b467 + 8970*b81*b468 + 12006*b81*b469 + 1794*b81*b470 + 8556*b81*b471
     + 6762*b81*b472 + 11730*b81*b473 + 2346*b81*b474 + 7038*b81*b475 + 414*b81
    *b476 + 5796*b81*b478 + 4968*b81*b479 + 966*b81*b480 + 11592*b81*b481 + 828
    *b81*b482 + 6624*b81*b485 + 8556*b81*b486 + 8260*b81*b487 + 10640*b81*b488
     + 8120*b81*b489 + 9100*b81*b490 + 12180*b81*b491 + 1820*b81*b492 + 8680*
    b81*b493 + 6860*b81*b494 + 11900*b81*b495 + 2380*b81*b496 + 7140*b81*b497
     + 420*b81*b498 + 5880*b81*b500 + 5040*b81*b501 + 980*b81*b502 + 11760*b81*
    b503 + 840*b81*b504 + 6720*b81*b507 + 8680*b81*b508 + 2124*b81*b509 + 2736*
    b81*b510 + 2088*b81*b511 + 2340*b81*b512 + 3132*b81*b513 + 468*b81*b514 + 
    2232*b81*b515 + 1764*b81*b516 + 3060*b81*b517 + 612*b81*b518 + 1836*b81*
    b519 + 108*b81*b520 + 1512*b81*b522 + 1296*b81*b523 + 252*b81*b524 + 3024*
    b81*b525 + 216*b81*b526 + 1728*b81*b529 + 2232*b81*b530 + 1520*b81*b531 + 
    1634*b81*b532 + 2242*b81*b533 + 160*b81*b534 + 172*b81*b535 + 236*b81*b536
     + 960*b81*b540 + 1032*b81*b541 + 1416*b81*b542 + 7280*b81*b543 + 7826*b81*
    b544 + 10738*b81*b545 + 5040*b81*b546 + 5418*b81*b547 + 7434*b81*b548 + 
    5600*b81*b549 + 6020*b81*b550 + 8260*b81*b551 + 80*b81*b552 + 86*b81*b553
     + 118*b81*b554 + 1760*b81*b555 + 1892*b81*b556 + 2596*b81*b557 + 3920*b81*
    b558 + 4214*b81*b559 + 5782*b81*b560 + 1920*b81*b561 + 2064*b81*b562 + 2832
    *b81*b563 + 4640*b81*b564 + 4988*b81*b565 + 6844*b81*b566 + 4960*b81*b567
     + 5332*b81*b568 + 7316*b81*b569 + 3920*b81*b570 + 4214*b81*b571 + 5782*b81
    *b572 + 7520*b81*b573 + 8084*b81*b574 + 11092*b81*b575 + 7360*b81*b576 + 
    7912*b81*b577 + 10856*b81*b578 + 5040*b81*b579 + 5418*b81*b580 + 7434*b81*
    b581 + 1040*b81*b582 + 1118*b81*b583 + 1534*b81*b584 + 3600*b81*b585 + 3870
    *b81*b586 + 5310*b81*b587 + 1760*b81*b588 + 1892*b81*b589 + 2596*b81*b590
     + 5520*b81*b591 + 5934*b81*b592 + 8142*b81*b593 + 5600*b81*b594 + 6020*b81
    *b595 + 8260*b81*b596 + 1440*b81*b597 + 1548*b81*b598 + 2124*b81*b599 + 
    4864*b81*b600 + 3712*b81*b601 + 4160*b81*b602 + 5568*b81*b603 + 832*b81*
    b604 + 3968*b81*b605 + 3136*b81*b606 + 5440*b81*b607 + 1088*b81*b608 + 3264
    *b81*b609 + 192*b81*b610 + 2688*b81*b612 + 2304*b81*b613 + 2752*b81*b614 + 
    448*b81*b615 + 5376*b81*b616 + 384*b81*b617 + 3072*b81*b620 + 3968*b81*b621
     + 3776*b81*b622 + 3776*b81*b623 + 4800*b81*b624 + 5160*b81*b625 + 7080*b81
    *b626 + 432*b82*b91 + 1824*b82*b92 + 504*b82*b93 + 960*b82*b94 + 1608*b82*
    b95 + 480*b82*b96 + 984*b82*b97 + 2040*b82*b98 + 1248*b82*b99 + 1632*b82*
    b100 + 24*b82*b101 + 504*b82*b102 + 1008*b82*b103 + 696*b82*b105 + 1968*b82
    *b106 + 696*b82*b107 + 72*b82*b108 + 72*b82*b109 + 1224*b82*b110 + 1608*b82
    *b111 + 936*b82*b112 + 3276*b82*b113 + 13832*b82*b114 + 3822*b82*b115 + 
    7280*b82*b116 + 12194*b82*b117 + 3640*b82*b118 + 7462*b82*b119 + 15470*b82*
    b120 + 9464*b82*b121 + 12376*b82*b122 + 182*b82*b123 + 3822*b82*b124 + 7644
    *b82*b125 + 5278*b82*b127 + 14924*b82*b128 + 5278*b82*b129 + 546*b82*b130
     + 546*b82*b131 + 9282*b82*b132 + 12194*b82*b133 + 7098*b82*b134 + 2268*b82
    *b135 + 9576*b82*b136 + 2646*b82*b137 + 5040*b82*b138 + 8442*b82*b139 + 
    2520*b82*b140 + 5166*b82*b141 + 10710*b82*b142 + 6552*b82*b143 + 8568*b82*
    b144 + 126*b82*b145 + 2646*b82*b146 + 5292*b82*b147 + 3654*b82*b149 + 10332
    *b82*b150 + 3654*b82*b151 + 378*b82*b152 + 378*b82*b153 + 6426*b82*b154 + 
    8442*b82*b155 + 4914*b82*b156 + 2520*b82*b157 + 10640*b82*b158 + 2940*b82*
    b159 + 5600*b82*b160 + 9380*b82*b161 + 2800*b82*b162 + 5740*b82*b163 + 
    11900*b82*b164 + 7280*b82*b165 + 9520*b82*b166 + 140*b82*b167 + 2940*b82*
    b168 + 5880*b82*b169 + 4060*b82*b171 + 11480*b82*b172 + 4060*b82*b173 + 420
    *b82*b174 + 420*b82*b175 + 7140*b82*b176 + 9380*b82*b177 + 5460*b82*b178 + 
    36*b82*b179 + 152*b82*b180 + 42*b82*b181 + 80*b82*b182 + 134*b82*b183 + 40*
    b82*b184 + 82*b82*b185 + 170*b82*b186 + 104*b82*b187 + 136*b82*b188 + 2*b82
    *b189 + 42*b82*b190 + 84*b82*b191 + 58*b82*b193 + 164*b82*b194 + 58*b82*
    b195 + 6*b82*b196 + 6*b82*b197 + 102*b82*b198 + 134*b82*b199 + 78*b82*b200
     + 792*b82*b201 + 3344*b82*b202 + 924*b82*b203 + 1760*b82*b204 + 2948*b82*
    b205 + 880*b82*b206 + 1804*b82*b207 + 3740*b82*b208 + 2288*b82*b209 + 2992*
    b82*b210 + 44*b82*b211 + 924*b82*b212 + 1848*b82*b213 + 1276*b82*b215 + 
    3608*b82*b216 + 1276*b82*b217 + 132*b82*b218 + 132*b82*b219 + 2244*b82*b220
     + 2948*b82*b221 + 1716*b82*b222 + 1764*b82*b223 + 7448*b82*b224 + 2058*b82
    *b225 + 3920*b82*b226 + 6566*b82*b227 + 1960*b82*b228 + 4018*b82*b229 + 
    8330*b82*b230 + 5096*b82*b231 + 6664*b82*b232 + 98*b82*b233 + 2058*b82*b234
     + 4116*b82*b235 + 2842*b82*b237 + 8036*b82*b238 + 2842*b82*b239 + 294*b82*
    b240 + 294*b82*b241 + 4998*b82*b242 + 6566*b82*b243 + 3822*b82*b244 + 864*
    b82*b245 + 3648*b82*b246 + 1008*b82*b247 + 1920*b82*b248 + 3216*b82*b249 + 
    960*b82*b250 + 1968*b82*b251 + 4080*b82*b252 + 2496*b82*b253 + 3264*b82*
    b254 + 48*b82*b255 + 1008*b82*b256 + 2016*b82*b257 + 1392*b82*b259 + 3936*
    b82*b260 + 1392*b82*b261 + 144*b82*b262 + 144*b82*b263 + 2448*b82*b264 + 
    3216*b82*b265 + 1872*b82*b266 + 2088*b82*b267 + 8816*b82*b268 + 2436*b82*
    b269 + 4640*b82*b270 + 7772*b82*b271 + 2320*b82*b272 + 4756*b82*b273 + 9860
    *b82*b274 + 6032*b82*b275 + 7888*b82*b276 + 116*b82*b277 + 2436*b82*b278 + 
    4872*b82*b279 + 3364*b82*b281 + 9512*b82*b282 + 3364*b82*b283 + 348*b82*
    b284 + 348*b82*b285 + 5916*b82*b286 + 7772*b82*b287 + 4524*b82*b288 + 2232*
    b82*b289 + 9424*b82*b290 + 2604*b82*b291 + 4960*b82*b292 + 8308*b82*b293 + 
    2480*b82*b294 + 5084*b82*b295 + 10540*b82*b296 + 6448*b82*b297 + 8432*b82*
    b298 + 124*b82*b299 + 2604*b82*b300 + 5208*b82*b301 + 3596*b82*b303 + 10168
    *b82*b304 + 3596*b82*b305 + 372*b82*b306 + 372*b82*b307 + 6324*b82*b308 + 
    8308*b82*b309 + 4836*b82*b310 + 1764*b82*b311 + 7448*b82*b312 + 2058*b82*
    b313 + 3920*b82*b314 + 6566*b82*b315 + 1960*b82*b316 + 4018*b82*b317 + 8330
    *b82*b318 + 5096*b82*b319 + 6664*b82*b320 + 98*b82*b321 + 2058*b82*b322 + 
    4116*b82*b323 + 2842*b82*b325 + 8036*b82*b326 + 2842*b82*b327 + 294*b82*
    b328 + 294*b82*b329 + 4998*b82*b330 + 6566*b82*b331 + 3822*b82*b332 + 3384*
    b82*b333 + 14288*b82*b334 + 3948*b82*b335 + 7520*b82*b336 + 12596*b82*b337
     + 3760*b82*b338 + 7708*b82*b339 + 15980*b82*b340 + 9776*b82*b341 + 12784*
    b82*b342 + 188*b82*b343 + 3948*b82*b344 + 7896*b82*b345 + 5452*b82*b347 + 
    15416*b82*b348 + 5452*b82*b349 + 564*b82*b350 + 564*b82*b351 + 9588*b82*
    b352 + 12596*b82*b353 + 7332*b82*b354 + 3312*b82*b355 + 13984*b82*b356 + 
    3864*b82*b357 + 7360*b82*b358 + 12328*b82*b359 + 3680*b82*b360 + 7544*b82*
    b361 + 15640*b82*b362 + 9568*b82*b363 + 12512*b82*b364 + 184*b82*b365 + 
    3864*b82*b366 + 7728*b82*b367 + 5336*b82*b369 + 15088*b82*b370 + 5336*b82*
    b371 + 552*b82*b372 + 552*b82*b373 + 9384*b82*b374 + 12328*b82*b375 + 7176*
    b82*b376 + 2268*b82*b377 + 9576*b82*b378 + 2646*b82*b379 + 5040*b82*b380 + 
    8442*b82*b381 + 2520*b82*b382 + 5166*b82*b383 + 10710*b82*b384 + 6552*b82*
    b385 + 8568*b82*b386 + 126*b82*b387 + 2646*b82*b388 + 5292*b82*b389 + 3654*
    b82*b391 + 10332*b82*b392 + 3654*b82*b393 + 378*b82*b394 + 378*b82*b395 + 
    6426*b82*b396 + 8442*b82*b397 + 4914*b82*b398 + 468*b82*b399 + 1976*b82*
    b400 + 546*b82*b401 + 1040*b82*b402 + 1742*b82*b403 + 520*b82*b404 + 1066*
    b82*b405 + 2210*b82*b406 + 1352*b82*b407 + 1768*b82*b408 + 26*b82*b409 + 
    546*b82*b410 + 1092*b82*b411 + 754*b82*b413 + 2132*b82*b414 + 754*b82*b415
     + 78*b82*b416 + 78*b82*b417 + 1326*b82*b418 + 1742*b82*b419 + 1014*b82*
    b420 + 1620*b82*b421 + 6840*b82*b422 + 1890*b82*b423 + 3600*b82*b424 + 6030
    *b82*b425 + 1800*b82*b426 + 3690*b82*b427 + 7650*b82*b428 + 4680*b82*b429
     + 6120*b82*b430 + 90*b82*b431 + 1890*b82*b432 + 3780*b82*b433 + 2610*b82*
    b435 + 7380*b82*b436 + 2610*b82*b437 + 270*b82*b438 + 270*b82*b439 + 4590*
    b82*b440 + 6030*b82*b441 + 3510*b82*b442 + 792*b82*b443 + 3344*b82*b444 + 
    924*b82*b445 + 1760*b82*b446 + 2948*b82*b447 + 880*b82*b448 + 1804*b82*b449
     + 3740*b82*b450 + 2288*b82*b451 + 2992*b82*b452 + 44*b82*b453 + 924*b82*
    b454 + 1848*b82*b455 + 1276*b82*b457 + 3608*b82*b458 + 1276*b82*b459 + 132*
    b82*b460 + 132*b82*b461 + 2244*b82*b462 + 2948*b82*b463 + 1716*b82*b464 + 
    2484*b82*b465 + 10488*b82*b466 + 2898*b82*b467 + 5520*b82*b468 + 9246*b82*
    b469 + 2760*b82*b470 + 5658*b82*b471 + 11730*b82*b472 + 7176*b82*b473 + 
    9384*b82*b474 + 138*b82*b475 + 2898*b82*b476 + 5796*b82*b477 + 4002*b82*
    b479 + 11316*b82*b480 + 4002*b82*b481 + 414*b82*b482 + 414*b82*b483 + 7038*
    b82*b484 + 9246*b82*b485 + 5382*b82*b486 + 2520*b82*b487 + 10640*b82*b488
     + 2940*b82*b489 + 5600*b82*b490 + 9380*b82*b491 + 2800*b82*b492 + 5740*b82
    *b493 + 11900*b82*b494 + 7280*b82*b495 + 9520*b82*b496 + 140*b82*b497 + 
    2940*b82*b498 + 5880*b82*b499 + 4060*b82*b501 + 11480*b82*b502 + 4060*b82*
    b503 + 420*b82*b504 + 420*b82*b505 + 7140*b82*b506 + 9380*b82*b507 + 5460*
    b82*b508 + 648*b82*b509 + 2736*b82*b510 + 756*b82*b511 + 1440*b82*b512 + 
    2412*b82*b513 + 720*b82*b514 + 1476*b82*b515 + 3060*b82*b516 + 1872*b82*
    b517 + 2448*b82*b518 + 36*b82*b519 + 756*b82*b520 + 1512*b82*b521 + 1044*
    b82*b523 + 2952*b82*b524 + 1044*b82*b525 + 108*b82*b526 + 108*b82*b527 + 
    1836*b82*b528 + 2412*b82*b529 + 1404*b82*b530 + 2850*b82*b531 + 3572*b82*
    b532 + 570*b82*b533 + 300*b82*b534 + 376*b82*b535 + 60*b82*b536 + 1800*b82*
    b540 + 2256*b82*b541 + 360*b82*b542 + 13650*b82*b543 + 17108*b82*b544 + 
    2730*b82*b545 + 9450*b82*b546 + 11844*b82*b547 + 1890*b82*b548 + 10500*b82*
    b549 + 13160*b82*b550 + 2100*b82*b551 + 150*b82*b552 + 188*b82*b553 + 30*
    b82*b554 + 3300*b82*b555 + 4136*b82*b556 + 660*b82*b557 + 7350*b82*b558 + 
    9212*b82*b559 + 1470*b82*b560 + 3600*b82*b561 + 4512*b82*b562 + 720*b82*
    b563 + 8700*b82*b564 + 10904*b82*b565 + 1740*b82*b566 + 9300*b82*b567 + 
    11656*b82*b568 + 1860*b82*b569 + 7350*b82*b570 + 9212*b82*b571 + 1470*b82*
    b572 + 14100*b82*b573 + 17672*b82*b574 + 2820*b82*b575 + 13800*b82*b576 + 
    17296*b82*b577 + 2760*b82*b578 + 9450*b82*b579 + 11844*b82*b580 + 1890*b82*
    b581 + 1950*b82*b582 + 2444*b82*b583 + 390*b82*b584 + 6750*b82*b585 + 8460*
    b82*b586 + 1350*b82*b587 + 3300*b82*b588 + 4136*b82*b589 + 660*b82*b590 + 
    10350*b82*b591 + 12972*b82*b592 + 2070*b82*b593 + 10500*b82*b594 + 13160*
    b82*b595 + 2100*b82*b596 + 2700*b82*b597 + 3384*b82*b598 + 540*b82*b599 + 
    4864*b82*b600 + 1344*b82*b601 + 2560*b82*b602 + 4288*b82*b603 + 1280*b82*
    b604 + 2624*b82*b605 + 5440*b82*b606 + 3328*b82*b607 + 4352*b82*b608 + 64*
    b82*b609 + 1344*b82*b610 + 2688*b82*b611 + 1856*b82*b613 + 6016*b82*b614 + 
    5248*b82*b615 + 1856*b82*b616 + 192*b82*b617 + 192*b82*b618 + 3264*b82*b619
     + 4288*b82*b620 + 2496*b82*b621 + 960*b82*b622 + 1152*b82*b623 + 9000*b82*
    b624 + 11280*b82*b625 + 1800*b82*b626 + 1824*b83*b91 + 960*b83*b92 + 1824*
    b83*b93 + 1296*b83*b94 + 2256*b83*b95 + 2064*b83*b96 + 1488*b83*b97 + 2016*
    b83*b98 + 816*b83*b99 + 648*b83*b100 + 2184*b83*b101 + 2160*b83*b102 + 864*
    b83*b103 + 696*b83*b104 + 1008*b83*b106 + 552*b83*b107 + 1488*b83*b108 + 
    1488*b83*b109 + 672*b83*b110 + 1824*b83*b111 + 1584*b83*b112 + 13832*b83*
    b113 + 7280*b83*b114 + 13832*b83*b115 + 9828*b83*b116 + 17108*b83*b117 + 
    15652*b83*b118 + 11284*b83*b119 + 15288*b83*b120 + 6188*b83*b121 + 4914*b83
    *b122 + 16562*b83*b123 + 16380*b83*b124 + 6552*b83*b125 + 5278*b83*b126 + 
    7644*b83*b128 + 4186*b83*b129 + 11284*b83*b130 + 11284*b83*b131 + 5096*b83*
    b132 + 13832*b83*b133 + 12012*b83*b134 + 9576*b83*b135 + 5040*b83*b136 + 
    9576*b83*b137 + 6804*b83*b138 + 11844*b83*b139 + 10836*b83*b140 + 7812*b83*
    b141 + 10584*b83*b142 + 4284*b83*b143 + 3402*b83*b144 + 11466*b83*b145 + 
    11340*b83*b146 + 4536*b83*b147 + 3654*b83*b148 + 5292*b83*b150 + 2898*b83*
    b151 + 7812*b83*b152 + 7812*b83*b153 + 3528*b83*b154 + 9576*b83*b155 + 8316
    *b83*b156 + 10640*b83*b157 + 5600*b83*b158 + 10640*b83*b159 + 7560*b83*b160
     + 13160*b83*b161 + 12040*b83*b162 + 8680*b83*b163 + 11760*b83*b164 + 4760*
    b83*b165 + 3780*b83*b166 + 12740*b83*b167 + 12600*b83*b168 + 5040*b83*b169
     + 4060*b83*b170 + 5880*b83*b172 + 3220*b83*b173 + 8680*b83*b174 + 8680*b83
    *b175 + 3920*b83*b176 + 10640*b83*b177 + 9240*b83*b178 + 152*b83*b179 + 80*
    b83*b180 + 152*b83*b181 + 108*b83*b182 + 188*b83*b183 + 172*b83*b184 + 124*
    b83*b185 + 168*b83*b186 + 68*b83*b187 + 54*b83*b188 + 182*b83*b189 + 180*
    b83*b190 + 72*b83*b191 + 58*b83*b192 + 84*b83*b194 + 46*b83*b195 + 124*b83*
    b196 + 124*b83*b197 + 56*b83*b198 + 152*b83*b199 + 132*b83*b200 + 3344*b83*
    b201 + 1760*b83*b202 + 3344*b83*b203 + 2376*b83*b204 + 4136*b83*b205 + 3784
    *b83*b206 + 2728*b83*b207 + 3696*b83*b208 + 1496*b83*b209 + 1188*b83*b210
     + 4004*b83*b211 + 3960*b83*b212 + 1584*b83*b213 + 1276*b83*b214 + 1848*b83
    *b216 + 1012*b83*b217 + 2728*b83*b218 + 2728*b83*b219 + 1232*b83*b220 + 
    3344*b83*b221 + 2904*b83*b222 + 7448*b83*b223 + 3920*b83*b224 + 7448*b83*
    b225 + 5292*b83*b226 + 9212*b83*b227 + 8428*b83*b228 + 6076*b83*b229 + 8232
    *b83*b230 + 3332*b83*b231 + 2646*b83*b232 + 8918*b83*b233 + 8820*b83*b234
     + 3528*b83*b235 + 2842*b83*b236 + 4116*b83*b238 + 2254*b83*b239 + 6076*b83
    *b240 + 6076*b83*b241 + 2744*b83*b242 + 7448*b83*b243 + 6468*b83*b244 + 
    3648*b83*b245 + 1920*b83*b246 + 3648*b83*b247 + 2592*b83*b248 + 4512*b83*
    b249 + 4128*b83*b250 + 2976*b83*b251 + 4032*b83*b252 + 1632*b83*b253 + 1296
    *b83*b254 + 4368*b83*b255 + 4320*b83*b256 + 1728*b83*b257 + 1392*b83*b258
     + 2016*b83*b260 + 1104*b83*b261 + 2976*b83*b262 + 2976*b83*b263 + 1344*b83
    *b264 + 3648*b83*b265 + 3168*b83*b266 + 8816*b83*b267 + 4640*b83*b268 + 
    8816*b83*b269 + 6264*b83*b270 + 10904*b83*b271 + 9976*b83*b272 + 7192*b83*
    b273 + 9744*b83*b274 + 3944*b83*b275 + 3132*b83*b276 + 10556*b83*b277 + 
    10440*b83*b278 + 4176*b83*b279 + 3364*b83*b280 + 4872*b83*b282 + 2668*b83*
    b283 + 7192*b83*b284 + 7192*b83*b285 + 3248*b83*b286 + 8816*b83*b287 + 7656
    *b83*b288 + 9424*b83*b289 + 4960*b83*b290 + 9424*b83*b291 + 6696*b83*b292
     + 11656*b83*b293 + 10664*b83*b294 + 7688*b83*b295 + 10416*b83*b296 + 4216*
    b83*b297 + 3348*b83*b298 + 11284*b83*b299 + 11160*b83*b300 + 4464*b83*b301
     + 3596*b83*b302 + 5208*b83*b304 + 2852*b83*b305 + 7688*b83*b306 + 7688*b83
    *b307 + 3472*b83*b308 + 9424*b83*b309 + 8184*b83*b310 + 7448*b83*b311 + 
    3920*b83*b312 + 7448*b83*b313 + 5292*b83*b314 + 9212*b83*b315 + 8428*b83*
    b316 + 6076*b83*b317 + 8232*b83*b318 + 3332*b83*b319 + 2646*b83*b320 + 8918
    *b83*b321 + 8820*b83*b322 + 3528*b83*b323 + 2842*b83*b324 + 4116*b83*b326
     + 2254*b83*b327 + 6076*b83*b328 + 6076*b83*b329 + 2744*b83*b330 + 7448*b83
    *b331 + 6468*b83*b332 + 14288*b83*b333 + 7520*b83*b334 + 14288*b83*b335 + 
    10152*b83*b336 + 17672*b83*b337 + 16168*b83*b338 + 11656*b83*b339 + 15792*
    b83*b340 + 6392*b83*b341 + 5076*b83*b342 + 17108*b83*b343 + 16920*b83*b344
     + 6768*b83*b345 + 5452*b83*b346 + 7896*b83*b348 + 4324*b83*b349 + 11656*
    b83*b350 + 11656*b83*b351 + 5264*b83*b352 + 14288*b83*b353 + 12408*b83*b354
     + 13984*b83*b355 + 7360*b83*b356 + 13984*b83*b357 + 9936*b83*b358 + 17296*
    b83*b359 + 15824*b83*b360 + 11408*b83*b361 + 15456*b83*b362 + 6256*b83*b363
     + 4968*b83*b364 + 16744*b83*b365 + 16560*b83*b366 + 6624*b83*b367 + 5336*
    b83*b368 + 7728*b83*b370 + 4232*b83*b371 + 11408*b83*b372 + 11408*b83*b373
     + 5152*b83*b374 + 13984*b83*b375 + 12144*b83*b376 + 9576*b83*b377 + 5040*
    b83*b378 + 9576*b83*b379 + 6804*b83*b380 + 11844*b83*b381 + 10836*b83*b382
     + 7812*b83*b383 + 10584*b83*b384 + 4284*b83*b385 + 3402*b83*b386 + 11466*
    b83*b387 + 11340*b83*b388 + 4536*b83*b389 + 3654*b83*b390 + 5292*b83*b392
     + 2898*b83*b393 + 7812*b83*b394 + 7812*b83*b395 + 3528*b83*b396 + 9576*b83
    *b397 + 8316*b83*b398 + 1976*b83*b399 + 1040*b83*b400 + 1976*b83*b401 + 
    1404*b83*b402 + 2444*b83*b403 + 2236*b83*b404 + 1612*b83*b405 + 2184*b83*
    b406 + 884*b83*b407 + 702*b83*b408 + 2366*b83*b409 + 2340*b83*b410 + 936*
    b83*b411 + 754*b83*b412 + 1092*b83*b414 + 598*b83*b415 + 1612*b83*b416 + 
    1612*b83*b417 + 728*b83*b418 + 1976*b83*b419 + 1716*b83*b420 + 6840*b83*
    b421 + 3600*b83*b422 + 6840*b83*b423 + 4860*b83*b424 + 8460*b83*b425 + 7740
    *b83*b426 + 5580*b83*b427 + 7560*b83*b428 + 3060*b83*b429 + 2430*b83*b430
     + 8190*b83*b431 + 8100*b83*b432 + 3240*b83*b433 + 2610*b83*b434 + 3780*b83
    *b436 + 2070*b83*b437 + 5580*b83*b438 + 5580*b83*b439 + 2520*b83*b440 + 
    6840*b83*b441 + 5940*b83*b442 + 3344*b83*b443 + 1760*b83*b444 + 3344*b83*
    b445 + 2376*b83*b446 + 4136*b83*b447 + 3784*b83*b448 + 2728*b83*b449 + 3696
    *b83*b450 + 1496*b83*b451 + 1188*b83*b452 + 4004*b83*b453 + 3960*b83*b454
     + 1584*b83*b455 + 1276*b83*b456 + 1848*b83*b458 + 1012*b83*b459 + 2728*b83
    *b460 + 2728*b83*b461 + 1232*b83*b462 + 3344*b83*b463 + 2904*b83*b464 + 
    10488*b83*b465 + 5520*b83*b466 + 10488*b83*b467 + 7452*b83*b468 + 12972*b83
    *b469 + 11868*b83*b470 + 8556*b83*b471 + 11592*b83*b472 + 4692*b83*b473 + 
    3726*b83*b474 + 12558*b83*b475 + 12420*b83*b476 + 4968*b83*b477 + 4002*b83*
    b478 + 5796*b83*b480 + 3174*b83*b481 + 8556*b83*b482 + 8556*b83*b483 + 3864
    *b83*b484 + 10488*b83*b485 + 9108*b83*b486 + 10640*b83*b487 + 5600*b83*b488
     + 10640*b83*b489 + 7560*b83*b490 + 13160*b83*b491 + 12040*b83*b492 + 8680*
    b83*b493 + 11760*b83*b494 + 4760*b83*b495 + 3780*b83*b496 + 12740*b83*b497
     + 12600*b83*b498 + 5040*b83*b499 + 4060*b83*b500 + 5880*b83*b502 + 3220*
    b83*b503 + 8680*b83*b504 + 8680*b83*b505 + 3920*b83*b506 + 10640*b83*b507
     + 9240*b83*b508 + 2736*b83*b509 + 1440*b83*b510 + 2736*b83*b511 + 1944*b83
    *b512 + 3384*b83*b513 + 3096*b83*b514 + 2232*b83*b515 + 3024*b83*b516 + 
    1224*b83*b517 + 972*b83*b518 + 3276*b83*b519 + 3240*b83*b520 + 1296*b83*
    b521 + 1044*b83*b522 + 1512*b83*b524 + 828*b83*b525 + 2232*b83*b526 + 2232*
    b83*b527 + 1008*b83*b528 + 2736*b83*b529 + 2376*b83*b530 + 3002*b83*b531 + 
    2508*b83*b532 + 3116*b83*b533 + 316*b83*b534 + 264*b83*b535 + 328*b83*b536
     + 1896*b83*b540 + 1584*b83*b541 + 1968*b83*b542 + 14378*b83*b543 + 12012*
    b83*b544 + 14924*b83*b545 + 9954*b83*b546 + 8316*b83*b547 + 10332*b83*b548
     + 11060*b83*b549 + 9240*b83*b550 + 11480*b83*b551 + 158*b83*b552 + 132*b83
    *b553 + 164*b83*b554 + 3476*b83*b555 + 2904*b83*b556 + 3608*b83*b557 + 7742
    *b83*b558 + 6468*b83*b559 + 8036*b83*b560 + 3792*b83*b561 + 3168*b83*b562
     + 3936*b83*b563 + 9164*b83*b564 + 7656*b83*b565 + 9512*b83*b566 + 9796*b83
    *b567 + 8184*b83*b568 + 10168*b83*b569 + 7742*b83*b570 + 6468*b83*b571 + 
    8036*b83*b572 + 14852*b83*b573 + 12408*b83*b574 + 15416*b83*b575 + 14536*
    b83*b576 + 12144*b83*b577 + 15088*b83*b578 + 9954*b83*b579 + 8316*b83*b580
     + 10332*b83*b581 + 2054*b83*b582 + 1716*b83*b583 + 2132*b83*b584 + 7110*
    b83*b585 + 5940*b83*b586 + 7380*b83*b587 + 3476*b83*b588 + 2904*b83*b589 + 
    3608*b83*b590 + 10902*b83*b591 + 9108*b83*b592 + 11316*b83*b593 + 11060*b83
    *b594 + 9240*b83*b595 + 11480*b83*b596 + 2844*b83*b597 + 2376*b83*b598 + 
    2952*b83*b599 + 2560*b83*b600 + 4864*b83*b601 + 3456*b83*b602 + 6016*b83*
    b603 + 5504*b83*b604 + 3968*b83*b605 + 5376*b83*b606 + 2176*b83*b607 + 1728
    *b83*b608 + 5824*b83*b609 + 5760*b83*b610 + 2304*b83*b611 + 1856*b83*b612
     + 4224*b83*b614 + 2688*b83*b615 + 1472*b83*b616 + 3968*b83*b617 + 3968*b83
    *b618 + 1792*b83*b619 + 4864*b83*b620 + 4224*b83*b621 + 5248*b83*b622 + 
    4864*b83*b623 + 9480*b83*b624 + 7920*b83*b625 + 9840*b83*b626 + 432*b84*b91
     + 1344*b84*b92 + 1056*b84*b93 + 336*b84*b94 + 48*b84*b95 + 1848*b84*b96 + 
    600*b84*b97 + 912*b84*b98 + 960*b84*b99 + 144*b84*b100 + 2088*b84*b101 + 
    1128*b84*b102 + 168*b84*b103 + 1968*b84*b104 + 1008*b84*b105 + 2064*b84*
    b107 + 1440*b84*b108 + 1488*b84*b109 + 1488*b84*b110 + 1992*b84*b111 + 2184
    *b84*b112 + 3276*b84*b113 + 10192*b84*b114 + 8008*b84*b115 + 2548*b84*b116
     + 364*b84*b117 + 14014*b84*b118 + 4550*b84*b119 + 6916*b84*b120 + 7280*b84
    *b121 + 1092*b84*b122 + 15834*b84*b123 + 8554*b84*b124 + 1274*b84*b125 + 
    14924*b84*b126 + 7644*b84*b127 + 15652*b84*b129 + 10920*b84*b130 + 11284*
    b84*b131 + 11284*b84*b132 + 15106*b84*b133 + 16562*b84*b134 + 2268*b84*b135
     + 7056*b84*b136 + 5544*b84*b137 + 1764*b84*b138 + 252*b84*b139 + 9702*b84*
    b140 + 3150*b84*b141 + 4788*b84*b142 + 5040*b84*b143 + 756*b84*b144 + 10962
    *b84*b145 + 5922*b84*b146 + 882*b84*b147 + 10332*b84*b148 + 5292*b84*b149
     + 10836*b84*b151 + 7560*b84*b152 + 7812*b84*b153 + 7812*b84*b154 + 10458*
    b84*b155 + 11466*b84*b156 + 2520*b84*b157 + 7840*b84*b158 + 6160*b84*b159
     + 1960*b84*b160 + 280*b84*b161 + 10780*b84*b162 + 3500*b84*b163 + 5320*b84
    *b164 + 5600*b84*b165 + 840*b84*b166 + 12180*b84*b167 + 6580*b84*b168 + 980
    *b84*b169 + 11480*b84*b170 + 5880*b84*b171 + 12040*b84*b173 + 8400*b84*b174
     + 8680*b84*b175 + 8680*b84*b176 + 11620*b84*b177 + 12740*b84*b178 + 36*b84
    *b179 + 112*b84*b180 + 88*b84*b181 + 28*b84*b182 + 4*b84*b183 + 154*b84*
    b184 + 50*b84*b185 + 76*b84*b186 + 80*b84*b187 + 12*b84*b188 + 174*b84*b189
     + 94*b84*b190 + 14*b84*b191 + 164*b84*b192 + 84*b84*b193 + 172*b84*b195 + 
    120*b84*b196 + 124*b84*b197 + 124*b84*b198 + 166*b84*b199 + 182*b84*b200 + 
    792*b84*b201 + 2464*b84*b202 + 1936*b84*b203 + 616*b84*b204 + 88*b84*b205
     + 3388*b84*b206 + 1100*b84*b207 + 1672*b84*b208 + 1760*b84*b209 + 264*b84*
    b210 + 3828*b84*b211 + 2068*b84*b212 + 308*b84*b213 + 3608*b84*b214 + 1848*
    b84*b215 + 3784*b84*b217 + 2640*b84*b218 + 2728*b84*b219 + 2728*b84*b220 + 
    3652*b84*b221 + 4004*b84*b222 + 1764*b84*b223 + 5488*b84*b224 + 4312*b84*
    b225 + 1372*b84*b226 + 196*b84*b227 + 7546*b84*b228 + 2450*b84*b229 + 3724*
    b84*b230 + 3920*b84*b231 + 588*b84*b232 + 8526*b84*b233 + 4606*b84*b234 + 
    686*b84*b235 + 8036*b84*b236 + 4116*b84*b237 + 8428*b84*b239 + 5880*b84*
    b240 + 6076*b84*b241 + 6076*b84*b242 + 8134*b84*b243 + 8918*b84*b244 + 864*
    b84*b245 + 2688*b84*b246 + 2112*b84*b247 + 672*b84*b248 + 96*b84*b249 + 
    3696*b84*b250 + 1200*b84*b251 + 1824*b84*b252 + 1920*b84*b253 + 288*b84*
    b254 + 4176*b84*b255 + 2256*b84*b256 + 336*b84*b257 + 3936*b84*b258 + 2016*
    b84*b259 + 4128*b84*b261 + 2880*b84*b262 + 2976*b84*b263 + 2976*b84*b264 + 
    3984*b84*b265 + 4368*b84*b266 + 2088*b84*b267 + 6496*b84*b268 + 5104*b84*
    b269 + 1624*b84*b270 + 232*b84*b271 + 8932*b84*b272 + 2900*b84*b273 + 4408*
    b84*b274 + 4640*b84*b275 + 696*b84*b276 + 10092*b84*b277 + 5452*b84*b278 + 
    812*b84*b279 + 9512*b84*b280 + 4872*b84*b281 + 9976*b84*b283 + 6960*b84*
    b284 + 7192*b84*b285 + 7192*b84*b286 + 9628*b84*b287 + 10556*b84*b288 + 
    2232*b84*b289 + 6944*b84*b290 + 5456*b84*b291 + 1736*b84*b292 + 248*b84*
    b293 + 9548*b84*b294 + 3100*b84*b295 + 4712*b84*b296 + 4960*b84*b297 + 744*
    b84*b298 + 10788*b84*b299 + 5828*b84*b300 + 868*b84*b301 + 10168*b84*b302
     + 5208*b84*b303 + 10664*b84*b305 + 7440*b84*b306 + 7688*b84*b307 + 7688*
    b84*b308 + 10292*b84*b309 + 11284*b84*b310 + 1764*b84*b311 + 5488*b84*b312
     + 4312*b84*b313 + 1372*b84*b314 + 196*b84*b315 + 7546*b84*b316 + 2450*b84*
    b317 + 3724*b84*b318 + 3920*b84*b319 + 588*b84*b320 + 8526*b84*b321 + 4606*
    b84*b322 + 686*b84*b323 + 8036*b84*b324 + 4116*b84*b325 + 8428*b84*b327 + 
    5880*b84*b328 + 6076*b84*b329 + 6076*b84*b330 + 8134*b84*b331 + 8918*b84*
    b332 + 3384*b84*b333 + 10528*b84*b334 + 8272*b84*b335 + 2632*b84*b336 + 376
    *b84*b337 + 14476*b84*b338 + 4700*b84*b339 + 7144*b84*b340 + 7520*b84*b341
     + 1128*b84*b342 + 16356*b84*b343 + 8836*b84*b344 + 1316*b84*b345 + 15416*
    b84*b346 + 7896*b84*b347 + 16168*b84*b349 + 11280*b84*b350 + 11656*b84*b351
     + 11656*b84*b352 + 15604*b84*b353 + 17108*b84*b354 + 3312*b84*b355 + 10304
    *b84*b356 + 8096*b84*b357 + 2576*b84*b358 + 368*b84*b359 + 14168*b84*b360
     + 4600*b84*b361 + 6992*b84*b362 + 7360*b84*b363 + 1104*b84*b364 + 16008*
    b84*b365 + 8648*b84*b366 + 1288*b84*b367 + 15088*b84*b368 + 7728*b84*b369
     + 15824*b84*b371 + 11040*b84*b372 + 11408*b84*b373 + 11408*b84*b374 + 
    15272*b84*b375 + 16744*b84*b376 + 2268*b84*b377 + 7056*b84*b378 + 5544*b84*
    b379 + 1764*b84*b380 + 252*b84*b381 + 9702*b84*b382 + 3150*b84*b383 + 4788*
    b84*b384 + 5040*b84*b385 + 756*b84*b386 + 10962*b84*b387 + 5922*b84*b388 + 
    882*b84*b389 + 10332*b84*b390 + 5292*b84*b391 + 10836*b84*b393 + 7560*b84*
    b394 + 7812*b84*b395 + 7812*b84*b396 + 10458*b84*b397 + 11466*b84*b398 + 
    468*b84*b399 + 1456*b84*b400 + 1144*b84*b401 + 364*b84*b402 + 52*b84*b403
     + 2002*b84*b404 + 650*b84*b405 + 988*b84*b406 + 1040*b84*b407 + 156*b84*
    b408 + 2262*b84*b409 + 1222*b84*b410 + 182*b84*b411 + 2132*b84*b412 + 1092*
    b84*b413 + 2236*b84*b415 + 1560*b84*b416 + 1612*b84*b417 + 1612*b84*b418 + 
    2158*b84*b419 + 2366*b84*b420 + 1620*b84*b421 + 5040*b84*b422 + 3960*b84*
    b423 + 1260*b84*b424 + 180*b84*b425 + 6930*b84*b426 + 2250*b84*b427 + 3420*
    b84*b428 + 3600*b84*b429 + 540*b84*b430 + 7830*b84*b431 + 4230*b84*b432 + 
    630*b84*b433 + 7380*b84*b434 + 3780*b84*b435 + 7740*b84*b437 + 5400*b84*
    b438 + 5580*b84*b439 + 5580*b84*b440 + 7470*b84*b441 + 8190*b84*b442 + 792*
    b84*b443 + 2464*b84*b444 + 1936*b84*b445 + 616*b84*b446 + 88*b84*b447 + 
    3388*b84*b448 + 1100*b84*b449 + 1672*b84*b450 + 1760*b84*b451 + 264*b84*
    b452 + 3828*b84*b453 + 2068*b84*b454 + 308*b84*b455 + 3608*b84*b456 + 1848*
    b84*b457 + 3784*b84*b459 + 2640*b84*b460 + 2728*b84*b461 + 2728*b84*b462 + 
    3652*b84*b463 + 4004*b84*b464 + 2484*b84*b465 + 7728*b84*b466 + 6072*b84*
    b467 + 1932*b84*b468 + 276*b84*b469 + 10626*b84*b470 + 3450*b84*b471 + 5244
    *b84*b472 + 5520*b84*b473 + 828*b84*b474 + 12006*b84*b475 + 6486*b84*b476
     + 966*b84*b477 + 11316*b84*b478 + 5796*b84*b479 + 11868*b84*b481 + 8280*
    b84*b482 + 8556*b84*b483 + 8556*b84*b484 + 11454*b84*b485 + 12558*b84*b486
     + 2520*b84*b487 + 7840*b84*b488 + 6160*b84*b489 + 1960*b84*b490 + 280*b84*
    b491 + 10780*b84*b492 + 3500*b84*b493 + 5320*b84*b494 + 5600*b84*b495 + 840
    *b84*b496 + 12180*b84*b497 + 6580*b84*b498 + 980*b84*b499 + 11480*b84*b500
     + 5880*b84*b501 + 12040*b84*b503 + 8400*b84*b504 + 8680*b84*b505 + 8680*
    b84*b506 + 11620*b84*b507 + 12740*b84*b508 + 648*b84*b509 + 2016*b84*b510
     + 1584*b84*b511 + 504*b84*b512 + 72*b84*b513 + 2772*b84*b514 + 900*b84*
    b515 + 1368*b84*b516 + 1440*b84*b517 + 216*b84*b518 + 3132*b84*b519 + 1692*
    b84*b520 + 252*b84*b521 + 2952*b84*b522 + 1512*b84*b523 + 3096*b84*b525 + 
    2160*b84*b526 + 2232*b84*b527 + 2232*b84*b528 + 2988*b84*b529 + 3276*b84*
    b530 + 3382*b84*b531 + 3724*b84*b532 + 2166*b84*b533 + 356*b84*b534 + 392*
    b84*b535 + 228*b84*b536 + 2136*b84*b540 + 2352*b84*b541 + 1368*b84*b542 + 
    16198*b84*b543 + 17836*b84*b544 + 10374*b84*b545 + 11214*b84*b546 + 12348*
    b84*b547 + 7182*b84*b548 + 12460*b84*b549 + 13720*b84*b550 + 7980*b84*b551
     + 178*b84*b552 + 196*b84*b553 + 114*b84*b554 + 3916*b84*b555 + 4312*b84*
    b556 + 2508*b84*b557 + 8722*b84*b558 + 9604*b84*b559 + 5586*b84*b560 + 4272
    *b84*b561 + 4704*b84*b562 + 2736*b84*b563 + 10324*b84*b564 + 11368*b84*b565
     + 6612*b84*b566 + 11036*b84*b567 + 12152*b84*b568 + 7068*b84*b569 + 8722*
    b84*b570 + 9604*b84*b571 + 5586*b84*b572 + 16732*b84*b573 + 18424*b84*b574
     + 10716*b84*b575 + 16376*b84*b576 + 18032*b84*b577 + 10488*b84*b578 + 
    11214*b84*b579 + 12348*b84*b580 + 7182*b84*b581 + 2314*b84*b582 + 2548*b84*
    b583 + 1482*b84*b584 + 8010*b84*b585 + 8820*b84*b586 + 5130*b84*b587 + 3916
    *b84*b588 + 4312*b84*b589 + 2508*b84*b590 + 12282*b84*b591 + 13524*b84*b592
     + 7866*b84*b593 + 12460*b84*b594 + 13720*b84*b595 + 7980*b84*b596 + 3204*
    b84*b597 + 3528*b84*b598 + 2052*b84*b599 + 3584*b84*b600 + 2816*b84*b601 + 
    896*b84*b602 + 128*b84*b603 + 4928*b84*b604 + 1600*b84*b605 + 2432*b84*b606
     + 2560*b84*b607 + 384*b84*b608 + 5568*b84*b609 + 3008*b84*b610 + 448*b84*
    b611 + 5248*b84*b612 + 2688*b84*b613 + 6272*b84*b614 + 5504*b84*b616 + 3840
    *b84*b617 + 3968*b84*b618 + 3968*b84*b619 + 5312*b84*b620 + 5824*b84*b621
     + 3648*b84*b622 + 1152*b84*b623 + 10680*b84*b624 + 11760*b84*b625 + 6840*
    b84*b626 + 1368*b85*b91 + 24*b85*b92 + 2040*b85*b93 + 1704*b85*b94 + 240*
    b85*b95 + 360*b85*b96 + 1800*b85*b97 + 984*b85*b98 + 1656*b85*b99 + 1608*
    b85*b100 + 1728*b85*b101 + 600*b85*b102 + 2016*b85*b103 + 696*b85*b104 + 
    552*b85*b105 + 2064*b85*b106 + 1488*b85*b108 + 864*b85*b109 + 48*b85*b110
     + 48*b85*b111 + 1032*b85*b112 + 10374*b85*b113 + 182*b85*b114 + 15470*b85*
    b115 + 12922*b85*b116 + 1820*b85*b117 + 2730*b85*b118 + 13650*b85*b119 + 
    7462*b85*b120 + 12558*b85*b121 + 12194*b85*b122 + 13104*b85*b123 + 4550*b85
    *b124 + 15288*b85*b125 + 5278*b85*b126 + 4186*b85*b127 + 15652*b85*b128 + 
    11284*b85*b130 + 6552*b85*b131 + 364*b85*b132 + 364*b85*b133 + 7826*b85*
    b134 + 7182*b85*b135 + 126*b85*b136 + 10710*b85*b137 + 8946*b85*b138 + 1260
    *b85*b139 + 1890*b85*b140 + 9450*b85*b141 + 5166*b85*b142 + 8694*b85*b143
     + 8442*b85*b144 + 9072*b85*b145 + 3150*b85*b146 + 10584*b85*b147 + 3654*
    b85*b148 + 2898*b85*b149 + 10836*b85*b150 + 7812*b85*b152 + 4536*b85*b153
     + 252*b85*b154 + 252*b85*b155 + 5418*b85*b156 + 7980*b85*b157 + 140*b85*
    b158 + 11900*b85*b159 + 9940*b85*b160 + 1400*b85*b161 + 2100*b85*b162 + 
    10500*b85*b163 + 5740*b85*b164 + 9660*b85*b165 + 9380*b85*b166 + 10080*b85*
    b167 + 3500*b85*b168 + 11760*b85*b169 + 4060*b85*b170 + 3220*b85*b171 + 
    12040*b85*b172 + 8680*b85*b174 + 5040*b85*b175 + 280*b85*b176 + 280*b85*
    b177 + 6020*b85*b178 + 114*b85*b179 + 2*b85*b180 + 170*b85*b181 + 142*b85*
    b182 + 20*b85*b183 + 30*b85*b184 + 150*b85*b185 + 82*b85*b186 + 138*b85*
    b187 + 134*b85*b188 + 144*b85*b189 + 50*b85*b190 + 168*b85*b191 + 58*b85*
    b192 + 46*b85*b193 + 172*b85*b194 + 124*b85*b196 + 72*b85*b197 + 4*b85*b198
     + 4*b85*b199 + 86*b85*b200 + 2508*b85*b201 + 44*b85*b202 + 3740*b85*b203
     + 3124*b85*b204 + 440*b85*b205 + 660*b85*b206 + 3300*b85*b207 + 1804*b85*
    b208 + 3036*b85*b209 + 2948*b85*b210 + 3168*b85*b211 + 1100*b85*b212 + 3696
    *b85*b213 + 1276*b85*b214 + 1012*b85*b215 + 3784*b85*b216 + 2728*b85*b218
     + 1584*b85*b219 + 88*b85*b220 + 88*b85*b221 + 1892*b85*b222 + 5586*b85*
    b223 + 98*b85*b224 + 8330*b85*b225 + 6958*b85*b226 + 980*b85*b227 + 1470*
    b85*b228 + 7350*b85*b229 + 4018*b85*b230 + 6762*b85*b231 + 6566*b85*b232 + 
    7056*b85*b233 + 2450*b85*b234 + 8232*b85*b235 + 2842*b85*b236 + 2254*b85*
    b237 + 8428*b85*b238 + 6076*b85*b240 + 3528*b85*b241 + 196*b85*b242 + 196*
    b85*b243 + 4214*b85*b244 + 2736*b85*b245 + 48*b85*b246 + 4080*b85*b247 + 
    3408*b85*b248 + 480*b85*b249 + 720*b85*b250 + 3600*b85*b251 + 1968*b85*b252
     + 3312*b85*b253 + 3216*b85*b254 + 3456*b85*b255 + 1200*b85*b256 + 4032*b85
    *b257 + 1392*b85*b258 + 1104*b85*b259 + 4128*b85*b260 + 2976*b85*b262 + 
    1728*b85*b263 + 96*b85*b264 + 96*b85*b265 + 2064*b85*b266 + 6612*b85*b267
     + 116*b85*b268 + 9860*b85*b269 + 8236*b85*b270 + 1160*b85*b271 + 1740*b85*
    b272 + 8700*b85*b273 + 4756*b85*b274 + 8004*b85*b275 + 7772*b85*b276 + 8352
    *b85*b277 + 2900*b85*b278 + 9744*b85*b279 + 3364*b85*b280 + 2668*b85*b281
     + 9976*b85*b282 + 7192*b85*b284 + 4176*b85*b285 + 232*b85*b286 + 232*b85*
    b287 + 4988*b85*b288 + 7068*b85*b289 + 124*b85*b290 + 10540*b85*b291 + 8804
    *b85*b292 + 1240*b85*b293 + 1860*b85*b294 + 9300*b85*b295 + 5084*b85*b296
     + 8556*b85*b297 + 8308*b85*b298 + 8928*b85*b299 + 3100*b85*b300 + 10416*
    b85*b301 + 3596*b85*b302 + 2852*b85*b303 + 10664*b85*b304 + 7688*b85*b306
     + 4464*b85*b307 + 248*b85*b308 + 248*b85*b309 + 5332*b85*b310 + 5586*b85*
    b311 + 98*b85*b312 + 8330*b85*b313 + 6958*b85*b314 + 980*b85*b315 + 1470*
    b85*b316 + 7350*b85*b317 + 4018*b85*b318 + 6762*b85*b319 + 6566*b85*b320 + 
    7056*b85*b321 + 2450*b85*b322 + 8232*b85*b323 + 2842*b85*b324 + 2254*b85*
    b325 + 8428*b85*b326 + 6076*b85*b328 + 3528*b85*b329 + 196*b85*b330 + 196*
    b85*b331 + 4214*b85*b332 + 10716*b85*b333 + 188*b85*b334 + 15980*b85*b335
     + 13348*b85*b336 + 1880*b85*b337 + 2820*b85*b338 + 14100*b85*b339 + 7708*
    b85*b340 + 12972*b85*b341 + 12596*b85*b342 + 13536*b85*b343 + 4700*b85*b344
     + 15792*b85*b345 + 5452*b85*b346 + 4324*b85*b347 + 16168*b85*b348 + 11656*
    b85*b350 + 6768*b85*b351 + 376*b85*b352 + 376*b85*b353 + 8084*b85*b354 + 
    10488*b85*b355 + 184*b85*b356 + 15640*b85*b357 + 13064*b85*b358 + 1840*b85*
    b359 + 2760*b85*b360 + 13800*b85*b361 + 7544*b85*b362 + 12696*b85*b363 + 
    12328*b85*b364 + 13248*b85*b365 + 4600*b85*b366 + 15456*b85*b367 + 5336*b85
    *b368 + 4232*b85*b369 + 15824*b85*b370 + 11408*b85*b372 + 6624*b85*b373 + 
    368*b85*b374 + 368*b85*b375 + 7912*b85*b376 + 7182*b85*b377 + 126*b85*b378
     + 10710*b85*b379 + 8946*b85*b380 + 1260*b85*b381 + 1890*b85*b382 + 9450*
    b85*b383 + 5166*b85*b384 + 8694*b85*b385 + 8442*b85*b386 + 9072*b85*b387 + 
    3150*b85*b388 + 10584*b85*b389 + 3654*b85*b390 + 2898*b85*b391 + 10836*b85*
    b392 + 7812*b85*b394 + 4536*b85*b395 + 252*b85*b396 + 252*b85*b397 + 5418*
    b85*b398 + 1482*b85*b399 + 26*b85*b400 + 2210*b85*b401 + 1846*b85*b402 + 
    260*b85*b403 + 390*b85*b404 + 1950*b85*b405 + 1066*b85*b406 + 1794*b85*b407
     + 1742*b85*b408 + 1872*b85*b409 + 650*b85*b410 + 2184*b85*b411 + 754*b85*
    b412 + 598*b85*b413 + 2236*b85*b414 + 1612*b85*b416 + 936*b85*b417 + 52*b85
    *b418 + 52*b85*b419 + 1118*b85*b420 + 5130*b85*b421 + 90*b85*b422 + 7650*
    b85*b423 + 6390*b85*b424 + 900*b85*b425 + 1350*b85*b426 + 6750*b85*b427 + 
    3690*b85*b428 + 6210*b85*b429 + 6030*b85*b430 + 6480*b85*b431 + 2250*b85*
    b432 + 7560*b85*b433 + 2610*b85*b434 + 2070*b85*b435 + 7740*b85*b436 + 5580
    *b85*b438 + 3240*b85*b439 + 180*b85*b440 + 180*b85*b441 + 3870*b85*b442 + 
    2508*b85*b443 + 44*b85*b444 + 3740*b85*b445 + 3124*b85*b446 + 440*b85*b447
     + 660*b85*b448 + 3300*b85*b449 + 1804*b85*b450 + 3036*b85*b451 + 2948*b85*
    b452 + 3168*b85*b453 + 1100*b85*b454 + 3696*b85*b455 + 1276*b85*b456 + 1012
    *b85*b457 + 3784*b85*b458 + 2728*b85*b460 + 1584*b85*b461 + 88*b85*b462 + 
    88*b85*b463 + 1892*b85*b464 + 7866*b85*b465 + 138*b85*b466 + 11730*b85*b467
     + 9798*b85*b468 + 1380*b85*b469 + 2070*b85*b470 + 10350*b85*b471 + 5658*
    b85*b472 + 9522*b85*b473 + 9246*b85*b474 + 9936*b85*b475 + 3450*b85*b476 + 
    11592*b85*b477 + 4002*b85*b478 + 3174*b85*b479 + 11868*b85*b480 + 8556*b85*
    b482 + 4968*b85*b483 + 276*b85*b484 + 276*b85*b485 + 5934*b85*b486 + 7980*
    b85*b487 + 140*b85*b488 + 11900*b85*b489 + 9940*b85*b490 + 1400*b85*b491 + 
    2100*b85*b492 + 10500*b85*b493 + 5740*b85*b494 + 9660*b85*b495 + 9380*b85*
    b496 + 10080*b85*b497 + 3500*b85*b498 + 11760*b85*b499 + 4060*b85*b500 + 
    3220*b85*b501 + 12040*b85*b502 + 8680*b85*b504 + 5040*b85*b505 + 280*b85*
    b506 + 280*b85*b507 + 6020*b85*b508 + 2052*b85*b509 + 36*b85*b510 + 3060*
    b85*b511 + 2556*b85*b512 + 360*b85*b513 + 540*b85*b514 + 2700*b85*b515 + 
    1476*b85*b516 + 2484*b85*b517 + 2412*b85*b518 + 2592*b85*b519 + 900*b85*
    b520 + 3024*b85*b521 + 1044*b85*b522 + 828*b85*b523 + 3096*b85*b524 + 2232*
    b85*b526 + 1296*b85*b527 + 72*b85*b528 + 72*b85*b529 + 1548*b85*b530 + 1330
    *b85*b531 + 1330*b85*b532 + 2470*b85*b533 + 140*b85*b534 + 140*b85*b535 + 
    260*b85*b536 + 840*b85*b540 + 840*b85*b541 + 1560*b85*b542 + 6370*b85*b543
     + 6370*b85*b544 + 11830*b85*b545 + 4410*b85*b546 + 4410*b85*b547 + 8190*
    b85*b548 + 4900*b85*b549 + 4900*b85*b550 + 9100*b85*b551 + 70*b85*b552 + 70
    *b85*b553 + 130*b85*b554 + 1540*b85*b555 + 1540*b85*b556 + 2860*b85*b557 + 
    3430*b85*b558 + 3430*b85*b559 + 6370*b85*b560 + 1680*b85*b561 + 1680*b85*
    b562 + 3120*b85*b563 + 4060*b85*b564 + 4060*b85*b565 + 7540*b85*b566 + 4340
    *b85*b567 + 4340*b85*b568 + 8060*b85*b569 + 3430*b85*b570 + 3430*b85*b571
     + 6370*b85*b572 + 6580*b85*b573 + 6580*b85*b574 + 12220*b85*b575 + 6440*
    b85*b576 + 6440*b85*b577 + 11960*b85*b578 + 4410*b85*b579 + 4410*b85*b580
     + 8190*b85*b581 + 910*b85*b582 + 910*b85*b583 + 1690*b85*b584 + 3150*b85*
    b585 + 3150*b85*b586 + 5850*b85*b587 + 1540*b85*b588 + 1540*b85*b589 + 2860
    *b85*b590 + 4830*b85*b591 + 4830*b85*b592 + 8970*b85*b593 + 4900*b85*b594
     + 4900*b85*b595 + 9100*b85*b596 + 1260*b85*b597 + 1260*b85*b598 + 2340*b85
    *b599 + 64*b85*b600 + 5440*b85*b601 + 4544*b85*b602 + 640*b85*b603 + 960*
    b85*b604 + 4800*b85*b605 + 2624*b85*b606 + 4416*b85*b607 + 4288*b85*b608 + 
    4608*b85*b609 + 1600*b85*b610 + 5376*b85*b611 + 1856*b85*b612 + 1472*b85*
    b613 + 2240*b85*b614 + 5504*b85*b615 + 3968*b85*b617 + 2304*b85*b618 + 128*
    b85*b619 + 128*b85*b620 + 2752*b85*b621 + 4160*b85*b622 + 3648*b85*b623 + 
    4200*b85*b624 + 4200*b85*b625 + 7800*b85*b626 + 864*b86*b91 + 1200*b86*b92
     + 2256*b86*b93 + 1848*b86*b94 + 2376*b86*b95 + 2136*b86*b96 + 1824*b86*b97
     + 1344*b86*b98 + 288*b86*b99 + 624*b86*b100 + 1080*b86*b101 + 720*b86*b102
     + 144*b86*b103 + 72*b86*b104 + 1488*b86*b105 + 1440*b86*b106 + 1488*b86*
    b107 + 888*b86*b109 + 1176*b86*b110 + 1464*b86*b111 + 120*b86*b112 + 6552*
    b86*b113 + 9100*b86*b114 + 17108*b86*b115 + 14014*b86*b116 + 18018*b86*b117
     + 16198*b86*b118 + 13832*b86*b119 + 10192*b86*b120 + 2184*b86*b121 + 4732*
    b86*b122 + 8190*b86*b123 + 5460*b86*b124 + 1092*b86*b125 + 546*b86*b126 + 
    11284*b86*b127 + 10920*b86*b128 + 11284*b86*b129 + 6734*b86*b131 + 8918*b86
    *b132 + 11102*b86*b133 + 910*b86*b134 + 4536*b86*b135 + 6300*b86*b136 + 
    11844*b86*b137 + 9702*b86*b138 + 12474*b86*b139 + 11214*b86*b140 + 9576*b86
    *b141 + 7056*b86*b142 + 1512*b86*b143 + 3276*b86*b144 + 5670*b86*b145 + 
    3780*b86*b146 + 756*b86*b147 + 378*b86*b148 + 7812*b86*b149 + 7560*b86*b150
     + 7812*b86*b151 + 4662*b86*b153 + 6174*b86*b154 + 7686*b86*b155 + 630*b86*
    b156 + 5040*b86*b157 + 7000*b86*b158 + 13160*b86*b159 + 10780*b86*b160 + 
    13860*b86*b161 + 12460*b86*b162 + 10640*b86*b163 + 7840*b86*b164 + 1680*b86
    *b165 + 3640*b86*b166 + 6300*b86*b167 + 4200*b86*b168 + 840*b86*b169 + 420*
    b86*b170 + 8680*b86*b171 + 8400*b86*b172 + 8680*b86*b173 + 5180*b86*b175 + 
    6860*b86*b176 + 8540*b86*b177 + 700*b86*b178 + 72*b86*b179 + 100*b86*b180
     + 188*b86*b181 + 154*b86*b182 + 198*b86*b183 + 178*b86*b184 + 152*b86*b185
     + 112*b86*b186 + 24*b86*b187 + 52*b86*b188 + 90*b86*b189 + 60*b86*b190 + 
    12*b86*b191 + 6*b86*b192 + 124*b86*b193 + 120*b86*b194 + 124*b86*b195 + 74*
    b86*b197 + 98*b86*b198 + 122*b86*b199 + 10*b86*b200 + 1584*b86*b201 + 2200*
    b86*b202 + 4136*b86*b203 + 3388*b86*b204 + 4356*b86*b205 + 3916*b86*b206 + 
    3344*b86*b207 + 2464*b86*b208 + 528*b86*b209 + 1144*b86*b210 + 1980*b86*
    b211 + 1320*b86*b212 + 264*b86*b213 + 132*b86*b214 + 2728*b86*b215 + 2640*
    b86*b216 + 2728*b86*b217 + 1628*b86*b219 + 2156*b86*b220 + 2684*b86*b221 + 
    220*b86*b222 + 3528*b86*b223 + 4900*b86*b224 + 9212*b86*b225 + 7546*b86*
    b226 + 9702*b86*b227 + 8722*b86*b228 + 7448*b86*b229 + 5488*b86*b230 + 1176
    *b86*b231 + 2548*b86*b232 + 4410*b86*b233 + 2940*b86*b234 + 588*b86*b235 + 
    294*b86*b236 + 6076*b86*b237 + 5880*b86*b238 + 6076*b86*b239 + 3626*b86*
    b241 + 4802*b86*b242 + 5978*b86*b243 + 490*b86*b244 + 1728*b86*b245 + 2400*
    b86*b246 + 4512*b86*b247 + 3696*b86*b248 + 4752*b86*b249 + 4272*b86*b250 + 
    3648*b86*b251 + 2688*b86*b252 + 576*b86*b253 + 1248*b86*b254 + 2160*b86*
    b255 + 1440*b86*b256 + 288*b86*b257 + 144*b86*b258 + 2976*b86*b259 + 2880*
    b86*b260 + 2976*b86*b261 + 1776*b86*b263 + 2352*b86*b264 + 2928*b86*b265 + 
    240*b86*b266 + 4176*b86*b267 + 5800*b86*b268 + 10904*b86*b269 + 8932*b86*
    b270 + 11484*b86*b271 + 10324*b86*b272 + 8816*b86*b273 + 6496*b86*b274 + 
    1392*b86*b275 + 3016*b86*b276 + 5220*b86*b277 + 3480*b86*b278 + 696*b86*
    b279 + 348*b86*b280 + 7192*b86*b281 + 6960*b86*b282 + 7192*b86*b283 + 4292*
    b86*b285 + 5684*b86*b286 + 7076*b86*b287 + 580*b86*b288 + 4464*b86*b289 + 
    6200*b86*b290 + 11656*b86*b291 + 9548*b86*b292 + 12276*b86*b293 + 11036*b86
    *b294 + 9424*b86*b295 + 6944*b86*b296 + 1488*b86*b297 + 3224*b86*b298 + 
    5580*b86*b299 + 3720*b86*b300 + 744*b86*b301 + 372*b86*b302 + 7688*b86*b303
     + 7440*b86*b304 + 7688*b86*b305 + 4588*b86*b307 + 6076*b86*b308 + 7564*b86
    *b309 + 620*b86*b310 + 3528*b86*b311 + 4900*b86*b312 + 9212*b86*b313 + 7546
    *b86*b314 + 9702*b86*b315 + 8722*b86*b316 + 7448*b86*b317 + 5488*b86*b318
     + 1176*b86*b319 + 2548*b86*b320 + 4410*b86*b321 + 2940*b86*b322 + 588*b86*
    b323 + 294*b86*b324 + 6076*b86*b325 + 5880*b86*b326 + 6076*b86*b327 + 3626*
    b86*b329 + 4802*b86*b330 + 5978*b86*b331 + 490*b86*b332 + 6768*b86*b333 + 
    9400*b86*b334 + 17672*b86*b335 + 14476*b86*b336 + 18612*b86*b337 + 16732*
    b86*b338 + 14288*b86*b339 + 10528*b86*b340 + 2256*b86*b341 + 4888*b86*b342
     + 8460*b86*b343 + 5640*b86*b344 + 1128*b86*b345 + 564*b86*b346 + 11656*b86
    *b347 + 11280*b86*b348 + 11656*b86*b349 + 6956*b86*b351 + 9212*b86*b352 + 
    11468*b86*b353 + 940*b86*b354 + 6624*b86*b355 + 9200*b86*b356 + 17296*b86*
    b357 + 14168*b86*b358 + 18216*b86*b359 + 16376*b86*b360 + 13984*b86*b361 + 
    10304*b86*b362 + 2208*b86*b363 + 4784*b86*b364 + 8280*b86*b365 + 5520*b86*
    b366 + 1104*b86*b367 + 552*b86*b368 + 11408*b86*b369 + 11040*b86*b370 + 
    11408*b86*b371 + 6808*b86*b373 + 9016*b86*b374 + 11224*b86*b375 + 920*b86*
    b376 + 4536*b86*b377 + 6300*b86*b378 + 11844*b86*b379 + 9702*b86*b380 + 
    12474*b86*b381 + 11214*b86*b382 + 9576*b86*b383 + 7056*b86*b384 + 1512*b86*
    b385 + 3276*b86*b386 + 5670*b86*b387 + 3780*b86*b388 + 756*b86*b389 + 378*
    b86*b390 + 7812*b86*b391 + 7560*b86*b392 + 7812*b86*b393 + 4662*b86*b395 + 
    6174*b86*b396 + 7686*b86*b397 + 630*b86*b398 + 936*b86*b399 + 1300*b86*b400
     + 2444*b86*b401 + 2002*b86*b402 + 2574*b86*b403 + 2314*b86*b404 + 1976*b86
    *b405 + 1456*b86*b406 + 312*b86*b407 + 676*b86*b408 + 1170*b86*b409 + 780*
    b86*b410 + 156*b86*b411 + 78*b86*b412 + 1612*b86*b413 + 1560*b86*b414 + 
    1612*b86*b415 + 962*b86*b417 + 1274*b86*b418 + 1586*b86*b419 + 130*b86*b420
     + 3240*b86*b421 + 4500*b86*b422 + 8460*b86*b423 + 6930*b86*b424 + 8910*b86
    *b425 + 8010*b86*b426 + 6840*b86*b427 + 5040*b86*b428 + 1080*b86*b429 + 
    2340*b86*b430 + 4050*b86*b431 + 2700*b86*b432 + 540*b86*b433 + 270*b86*b434
     + 5580*b86*b435 + 5400*b86*b436 + 5580*b86*b437 + 3330*b86*b439 + 4410*b86
    *b440 + 5490*b86*b441 + 450*b86*b442 + 1584*b86*b443 + 2200*b86*b444 + 4136
    *b86*b445 + 3388*b86*b446 + 4356*b86*b447 + 3916*b86*b448 + 3344*b86*b449
     + 2464*b86*b450 + 528*b86*b451 + 1144*b86*b452 + 1980*b86*b453 + 1320*b86*
    b454 + 264*b86*b455 + 132*b86*b456 + 2728*b86*b457 + 2640*b86*b458 + 2728*
    b86*b459 + 1628*b86*b461 + 2156*b86*b462 + 2684*b86*b463 + 220*b86*b464 + 
    4968*b86*b465 + 6900*b86*b466 + 12972*b86*b467 + 10626*b86*b468 + 13662*b86
    *b469 + 12282*b86*b470 + 10488*b86*b471 + 7728*b86*b472 + 1656*b86*b473 + 
    3588*b86*b474 + 6210*b86*b475 + 4140*b86*b476 + 828*b86*b477 + 414*b86*b478
     + 8556*b86*b479 + 8280*b86*b480 + 8556*b86*b481 + 5106*b86*b483 + 6762*b86
    *b484 + 8418*b86*b485 + 690*b86*b486 + 5040*b86*b487 + 7000*b86*b488 + 
    13160*b86*b489 + 10780*b86*b490 + 13860*b86*b491 + 12460*b86*b492 + 10640*
    b86*b493 + 7840*b86*b494 + 1680*b86*b495 + 3640*b86*b496 + 6300*b86*b497 + 
    4200*b86*b498 + 840*b86*b499 + 420*b86*b500 + 8680*b86*b501 + 8400*b86*b502
     + 8680*b86*b503 + 5180*b86*b505 + 6860*b86*b506 + 8540*b86*b507 + 700*b86*
    b508 + 1296*b86*b509 + 1800*b86*b510 + 3384*b86*b511 + 2772*b86*b512 + 3564
    *b86*b513 + 3204*b86*b514 + 2736*b86*b515 + 2016*b86*b516 + 432*b86*b517 + 
    936*b86*b518 + 1620*b86*b519 + 1080*b86*b520 + 216*b86*b521 + 108*b86*b522
     + 2232*b86*b523 + 2160*b86*b524 + 2232*b86*b525 + 1332*b86*b527 + 1764*b86
    *b528 + 2196*b86*b529 + 180*b86*b530 + 342*b86*b531 + 570*b86*b532 + 1292*
    b86*b533 + 36*b86*b534 + 60*b86*b535 + 136*b86*b536 + 216*b86*b540 + 360*
    b86*b541 + 816*b86*b542 + 1638*b86*b543 + 2730*b86*b544 + 6188*b86*b545 + 
    1134*b86*b546 + 1890*b86*b547 + 4284*b86*b548 + 1260*b86*b549 + 2100*b86*
    b550 + 4760*b86*b551 + 18*b86*b552 + 30*b86*b553 + 68*b86*b554 + 396*b86*
    b555 + 660*b86*b556 + 1496*b86*b557 + 882*b86*b558 + 1470*b86*b559 + 3332*
    b86*b560 + 432*b86*b561 + 720*b86*b562 + 1632*b86*b563 + 1044*b86*b564 + 
    1740*b86*b565 + 3944*b86*b566 + 1116*b86*b567 + 1860*b86*b568 + 4216*b86*
    b569 + 882*b86*b570 + 1470*b86*b571 + 3332*b86*b572 + 1692*b86*b573 + 2820*
    b86*b574 + 6392*b86*b575 + 1656*b86*b576 + 2760*b86*b577 + 6256*b86*b578 + 
    1134*b86*b579 + 1890*b86*b580 + 4284*b86*b581 + 234*b86*b582 + 390*b86*b583
     + 884*b86*b584 + 810*b86*b585 + 1350*b86*b586 + 3060*b86*b587 + 396*b86*
    b588 + 660*b86*b589 + 1496*b86*b590 + 1242*b86*b591 + 2070*b86*b592 + 4692*
    b86*b593 + 1260*b86*b594 + 2100*b86*b595 + 4760*b86*b596 + 324*b86*b597 + 
    540*b86*b598 + 1224*b86*b599 + 3200*b86*b600 + 6016*b86*b601 + 4928*b86*
    b602 + 6336*b86*b603 + 5696*b86*b604 + 4864*b86*b605 + 3584*b86*b606 + 768*
    b86*b607 + 1664*b86*b608 + 2880*b86*b609 + 1920*b86*b610 + 384*b86*b611 + 
    192*b86*b612 + 3968*b86*b613 + 960*b86*b614 + 3840*b86*b615 + 3968*b86*b616
     + 2368*b86*b618 + 3136*b86*b619 + 3904*b86*b620 + 320*b86*b621 + 2176*b86*
    b622 + 2304*b86*b623 + 1080*b86*b624 + 1800*b86*b625 + 4080*b86*b626 + 1464
    *b87*b91 + 96*b87*b92 + 2160*b87*b93 + 864*b87*b94 + 1344*b87*b95 + 1152*
    b87*b96 + 960*b87*b97 + 936*b87*b98 + 2040*b87*b99 + 1968*b87*b100 + 2304*
    b87*b101 + 1032*b87*b102 + 72*b87*b104 + 1488*b87*b105 + 1488*b87*b106 + 
    864*b87*b107 + 888*b87*b108 + 1272*b87*b110 + 2304*b87*b111 + 1968*b87*b112
     + 11102*b87*b113 + 728*b87*b114 + 16380*b87*b115 + 6552*b87*b116 + 10192*
    b87*b117 + 8736*b87*b118 + 7280*b87*b119 + 7098*b87*b120 + 15470*b87*b121
     + 14924*b87*b122 + 17472*b87*b123 + 7826*b87*b124 + 546*b87*b126 + 11284*
    b87*b127 + 11284*b87*b128 + 6552*b87*b129 + 6734*b87*b130 + 9646*b87*b132
     + 17472*b87*b133 + 14924*b87*b134 + 7686*b87*b135 + 504*b87*b136 + 11340*
    b87*b137 + 4536*b87*b138 + 7056*b87*b139 + 6048*b87*b140 + 5040*b87*b141 + 
    4914*b87*b142 + 10710*b87*b143 + 10332*b87*b144 + 12096*b87*b145 + 5418*b87
    *b146 + 378*b87*b148 + 7812*b87*b149 + 7812*b87*b150 + 4536*b87*b151 + 4662
    *b87*b152 + 6678*b87*b154 + 12096*b87*b155 + 10332*b87*b156 + 8540*b87*b157
     + 560*b87*b158 + 12600*b87*b159 + 5040*b87*b160 + 7840*b87*b161 + 6720*b87
    *b162 + 5600*b87*b163 + 5460*b87*b164 + 11900*b87*b165 + 11480*b87*b166 + 
    13440*b87*b167 + 6020*b87*b168 + 420*b87*b170 + 8680*b87*b171 + 8680*b87*
    b172 + 5040*b87*b173 + 5180*b87*b174 + 7420*b87*b176 + 13440*b87*b177 + 
    11480*b87*b178 + 122*b87*b179 + 8*b87*b180 + 180*b87*b181 + 72*b87*b182 + 
    112*b87*b183 + 96*b87*b184 + 80*b87*b185 + 78*b87*b186 + 170*b87*b187 + 164
    *b87*b188 + 192*b87*b189 + 86*b87*b190 + 6*b87*b192 + 124*b87*b193 + 124*
    b87*b194 + 72*b87*b195 + 74*b87*b196 + 106*b87*b198 + 192*b87*b199 + 164*
    b87*b200 + 2684*b87*b201 + 176*b87*b202 + 3960*b87*b203 + 1584*b87*b204 + 
    2464*b87*b205 + 2112*b87*b206 + 1760*b87*b207 + 1716*b87*b208 + 3740*b87*
    b209 + 3608*b87*b210 + 4224*b87*b211 + 1892*b87*b212 + 132*b87*b214 + 2728*
    b87*b215 + 2728*b87*b216 + 1584*b87*b217 + 1628*b87*b218 + 2332*b87*b220 + 
    4224*b87*b221 + 3608*b87*b222 + 5978*b87*b223 + 392*b87*b224 + 8820*b87*
    b225 + 3528*b87*b226 + 5488*b87*b227 + 4704*b87*b228 + 3920*b87*b229 + 3822
    *b87*b230 + 8330*b87*b231 + 8036*b87*b232 + 9408*b87*b233 + 4214*b87*b234
     + 294*b87*b236 + 6076*b87*b237 + 6076*b87*b238 + 3528*b87*b239 + 3626*b87*
    b240 + 5194*b87*b242 + 9408*b87*b243 + 8036*b87*b244 + 2928*b87*b245 + 192*
    b87*b246 + 4320*b87*b247 + 1728*b87*b248 + 2688*b87*b249 + 2304*b87*b250 + 
    1920*b87*b251 + 1872*b87*b252 + 4080*b87*b253 + 3936*b87*b254 + 4608*b87*
    b255 + 2064*b87*b256 + 144*b87*b258 + 2976*b87*b259 + 2976*b87*b260 + 1728*
    b87*b261 + 1776*b87*b262 + 2544*b87*b264 + 4608*b87*b265 + 3936*b87*b266 + 
    7076*b87*b267 + 464*b87*b268 + 10440*b87*b269 + 4176*b87*b270 + 6496*b87*
    b271 + 5568*b87*b272 + 4640*b87*b273 + 4524*b87*b274 + 9860*b87*b275 + 9512
    *b87*b276 + 11136*b87*b277 + 4988*b87*b278 + 348*b87*b280 + 7192*b87*b281
     + 7192*b87*b282 + 4176*b87*b283 + 4292*b87*b284 + 6148*b87*b286 + 11136*
    b87*b287 + 9512*b87*b288 + 7564*b87*b289 + 496*b87*b290 + 11160*b87*b291 + 
    4464*b87*b292 + 6944*b87*b293 + 5952*b87*b294 + 4960*b87*b295 + 4836*b87*
    b296 + 10540*b87*b297 + 10168*b87*b298 + 11904*b87*b299 + 5332*b87*b300 + 
    372*b87*b302 + 7688*b87*b303 + 7688*b87*b304 + 4464*b87*b305 + 4588*b87*
    b306 + 6572*b87*b308 + 11904*b87*b309 + 10168*b87*b310 + 5978*b87*b311 + 
    392*b87*b312 + 8820*b87*b313 + 3528*b87*b314 + 5488*b87*b315 + 4704*b87*
    b316 + 3920*b87*b317 + 3822*b87*b318 + 8330*b87*b319 + 8036*b87*b320 + 9408
    *b87*b321 + 4214*b87*b322 + 294*b87*b324 + 6076*b87*b325 + 6076*b87*b326 + 
    3528*b87*b327 + 3626*b87*b328 + 5194*b87*b330 + 9408*b87*b331 + 8036*b87*
    b332 + 11468*b87*b333 + 752*b87*b334 + 16920*b87*b335 + 6768*b87*b336 + 
    10528*b87*b337 + 9024*b87*b338 + 7520*b87*b339 + 7332*b87*b340 + 15980*b87*
    b341 + 15416*b87*b342 + 18048*b87*b343 + 8084*b87*b344 + 564*b87*b346 + 
    11656*b87*b347 + 11656*b87*b348 + 6768*b87*b349 + 6956*b87*b350 + 9964*b87*
    b352 + 18048*b87*b353 + 15416*b87*b354 + 11224*b87*b355 + 736*b87*b356 + 
    16560*b87*b357 + 6624*b87*b358 + 10304*b87*b359 + 8832*b87*b360 + 7360*b87*
    b361 + 7176*b87*b362 + 15640*b87*b363 + 15088*b87*b364 + 17664*b87*b365 + 
    7912*b87*b366 + 552*b87*b368 + 11408*b87*b369 + 11408*b87*b370 + 6624*b87*
    b371 + 6808*b87*b372 + 9752*b87*b374 + 17664*b87*b375 + 15088*b87*b376 + 
    7686*b87*b377 + 504*b87*b378 + 11340*b87*b379 + 4536*b87*b380 + 7056*b87*
    b381 + 6048*b87*b382 + 5040*b87*b383 + 4914*b87*b384 + 10710*b87*b385 + 
    10332*b87*b386 + 12096*b87*b387 + 5418*b87*b388 + 378*b87*b390 + 7812*b87*
    b391 + 7812*b87*b392 + 4536*b87*b393 + 4662*b87*b394 + 6678*b87*b396 + 
    12096*b87*b397 + 10332*b87*b398 + 1586*b87*b399 + 104*b87*b400 + 2340*b87*
    b401 + 936*b87*b402 + 1456*b87*b403 + 1248*b87*b404 + 1040*b87*b405 + 1014*
    b87*b406 + 2210*b87*b407 + 2132*b87*b408 + 2496*b87*b409 + 1118*b87*b410 + 
    78*b87*b412 + 1612*b87*b413 + 1612*b87*b414 + 936*b87*b415 + 962*b87*b416
     + 1378*b87*b418 + 2496*b87*b419 + 2132*b87*b420 + 5490*b87*b421 + 360*b87*
    b422 + 8100*b87*b423 + 3240*b87*b424 + 5040*b87*b425 + 4320*b87*b426 + 3600
    *b87*b427 + 3510*b87*b428 + 7650*b87*b429 + 7380*b87*b430 + 8640*b87*b431
     + 3870*b87*b432 + 270*b87*b434 + 5580*b87*b435 + 5580*b87*b436 + 3240*b87*
    b437 + 3330*b87*b438 + 4770*b87*b440 + 8640*b87*b441 + 7380*b87*b442 + 2684
    *b87*b443 + 176*b87*b444 + 3960*b87*b445 + 1584*b87*b446 + 2464*b87*b447 + 
    2112*b87*b448 + 1760*b87*b449 + 1716*b87*b450 + 3740*b87*b451 + 3608*b87*
    b452 + 4224*b87*b453 + 1892*b87*b454 + 132*b87*b456 + 2728*b87*b457 + 2728*
    b87*b458 + 1584*b87*b459 + 1628*b87*b460 + 2332*b87*b462 + 4224*b87*b463 + 
    3608*b87*b464 + 8418*b87*b465 + 552*b87*b466 + 12420*b87*b467 + 4968*b87*
    b468 + 7728*b87*b469 + 6624*b87*b470 + 5520*b87*b471 + 5382*b87*b472 + 
    11730*b87*b473 + 11316*b87*b474 + 13248*b87*b475 + 5934*b87*b476 + 414*b87*
    b478 + 8556*b87*b479 + 8556*b87*b480 + 4968*b87*b481 + 5106*b87*b482 + 7314
    *b87*b484 + 13248*b87*b485 + 11316*b87*b486 + 8540*b87*b487 + 560*b87*b488
     + 12600*b87*b489 + 5040*b87*b490 + 7840*b87*b491 + 6720*b87*b492 + 5600*
    b87*b493 + 5460*b87*b494 + 11900*b87*b495 + 11480*b87*b496 + 13440*b87*b497
     + 6020*b87*b498 + 420*b87*b500 + 8680*b87*b501 + 8680*b87*b502 + 5040*b87*
    b503 + 5180*b87*b504 + 7420*b87*b506 + 13440*b87*b507 + 11480*b87*b508 + 
    2196*b87*b509 + 144*b87*b510 + 3240*b87*b511 + 1296*b87*b512 + 2016*b87*
    b513 + 1728*b87*b514 + 1440*b87*b515 + 1404*b87*b516 + 3060*b87*b517 + 2952
    *b87*b518 + 3456*b87*b519 + 1548*b87*b520 + 108*b87*b522 + 2232*b87*b523 + 
    2232*b87*b524 + 1296*b87*b525 + 1332*b87*b526 + 1908*b87*b528 + 3456*b87*
    b529 + 2952*b87*b530 + 38*b87*b531 + 646*b87*b532 + 1824*b87*b533 + 4*b87*
    b534 + 68*b87*b535 + 192*b87*b536 + 24*b87*b540 + 408*b87*b541 + 1152*b87*
    b542 + 182*b87*b543 + 3094*b87*b544 + 8736*b87*b545 + 126*b87*b546 + 2142*
    b87*b547 + 6048*b87*b548 + 140*b87*b549 + 2380*b87*b550 + 6720*b87*b551 + 2
    *b87*b552 + 34*b87*b553 + 96*b87*b554 + 44*b87*b555 + 748*b87*b556 + 2112*
    b87*b557 + 98*b87*b558 + 1666*b87*b559 + 4704*b87*b560 + 48*b87*b561 + 816*
    b87*b562 + 2304*b87*b563 + 116*b87*b564 + 1972*b87*b565 + 5568*b87*b566 + 
    124*b87*b567 + 2108*b87*b568 + 5952*b87*b569 + 98*b87*b570 + 1666*b87*b571
     + 4704*b87*b572 + 188*b87*b573 + 3196*b87*b574 + 9024*b87*b575 + 184*b87*
    b576 + 3128*b87*b577 + 8832*b87*b578 + 126*b87*b579 + 2142*b87*b580 + 6048*
    b87*b581 + 26*b87*b582 + 442*b87*b583 + 1248*b87*b584 + 90*b87*b585 + 1530*
    b87*b586 + 4320*b87*b587 + 44*b87*b588 + 748*b87*b589 + 2112*b87*b590 + 138
    *b87*b591 + 2346*b87*b592 + 6624*b87*b593 + 140*b87*b594 + 2380*b87*b595 + 
    6720*b87*b596 + 36*b87*b597 + 612*b87*b598 + 1728*b87*b599 + 256*b87*b600
     + 5760*b87*b601 + 2304*b87*b602 + 3584*b87*b603 + 3072*b87*b604 + 2560*b87
    *b605 + 2496*b87*b606 + 5440*b87*b607 + 5248*b87*b608 + 6144*b87*b609 + 
    2752*b87*b610 + 192*b87*b612 + 3968*b87*b613 + 1088*b87*b614 + 3968*b87*
    b615 + 2304*b87*b616 + 2368*b87*b617 + 3392*b87*b619 + 6144*b87*b620 + 5248
    *b87*b621 + 3072*b87*b622 + 3904*b87*b623 + 120*b87*b624 + 2040*b87*b625 + 
    5760*b87*b626 + 864*b88*b91 + 864*b88*b92 + 1224*b88*b93 + 1272*b88*b94 + 
    1680*b88*b95 + 336*b88*b96 + 1584*b88*b97 + 1272*b88*b98 + 1728*b88*b99 + 
    1056*b88*b100 + 168*b88*b101 + 2328*b88*b102 + 1224*b88*b104 + 672*b88*b105
     + 1488*b88*b106 + 48*b88*b107 + 1176*b88*b108 + 1272*b88*b109 + 672*b88*
    b111 + 744*b88*b112 + 6552*b88*b113 + 6552*b88*b114 + 9282*b88*b115 + 9646*
    b88*b116 + 12740*b88*b117 + 2548*b88*b118 + 12012*b88*b119 + 9646*b88*b120
     + 13104*b88*b121 + 8008*b88*b122 + 1274*b88*b123 + 17654*b88*b124 + 9282*
    b88*b126 + 5096*b88*b127 + 11284*b88*b128 + 364*b88*b129 + 8918*b88*b130 + 
    9646*b88*b131 + 5096*b88*b133 + 5642*b88*b134 + 4536*b88*b135 + 4536*b88*
    b136 + 6426*b88*b137 + 6678*b88*b138 + 8820*b88*b139 + 1764*b88*b140 + 8316
    *b88*b141 + 6678*b88*b142 + 9072*b88*b143 + 5544*b88*b144 + 882*b88*b145 + 
    12222*b88*b146 + 6426*b88*b148 + 3528*b88*b149 + 7812*b88*b150 + 252*b88*
    b151 + 6174*b88*b152 + 6678*b88*b153 + 3528*b88*b155 + 3906*b88*b156 + 5040
    *b88*b157 + 5040*b88*b158 + 7140*b88*b159 + 7420*b88*b160 + 9800*b88*b161
     + 1960*b88*b162 + 9240*b88*b163 + 7420*b88*b164 + 10080*b88*b165 + 6160*
    b88*b166 + 980*b88*b167 + 13580*b88*b168 + 7140*b88*b170 + 3920*b88*b171 + 
    8680*b88*b172 + 280*b88*b173 + 6860*b88*b174 + 7420*b88*b175 + 3920*b88*
    b177 + 4340*b88*b178 + 72*b88*b179 + 72*b88*b180 + 102*b88*b181 + 106*b88*
    b182 + 140*b88*b183 + 28*b88*b184 + 132*b88*b185 + 106*b88*b186 + 144*b88*
    b187 + 88*b88*b188 + 14*b88*b189 + 194*b88*b190 + 102*b88*b192 + 56*b88*
    b193 + 124*b88*b194 + 4*b88*b195 + 98*b88*b196 + 106*b88*b197 + 56*b88*b199
     + 62*b88*b200 + 1584*b88*b201 + 1584*b88*b202 + 2244*b88*b203 + 2332*b88*
    b204 + 3080*b88*b205 + 616*b88*b206 + 2904*b88*b207 + 2332*b88*b208 + 3168*
    b88*b209 + 1936*b88*b210 + 308*b88*b211 + 4268*b88*b212 + 2244*b88*b214 + 
    1232*b88*b215 + 2728*b88*b216 + 88*b88*b217 + 2156*b88*b218 + 2332*b88*b219
     + 1232*b88*b221 + 1364*b88*b222 + 3528*b88*b223 + 3528*b88*b224 + 4998*b88
    *b225 + 5194*b88*b226 + 6860*b88*b227 + 1372*b88*b228 + 6468*b88*b229 + 
    5194*b88*b230 + 7056*b88*b231 + 4312*b88*b232 + 686*b88*b233 + 9506*b88*
    b234 + 4998*b88*b236 + 2744*b88*b237 + 6076*b88*b238 + 196*b88*b239 + 4802*
    b88*b240 + 5194*b88*b241 + 2744*b88*b243 + 3038*b88*b244 + 1728*b88*b245 + 
    1728*b88*b246 + 2448*b88*b247 + 2544*b88*b248 + 3360*b88*b249 + 672*b88*
    b250 + 3168*b88*b251 + 2544*b88*b252 + 3456*b88*b253 + 2112*b88*b254 + 336*
    b88*b255 + 4656*b88*b256 + 2448*b88*b258 + 1344*b88*b259 + 2976*b88*b260 + 
    96*b88*b261 + 2352*b88*b262 + 2544*b88*b263 + 1344*b88*b265 + 1488*b88*b266
     + 4176*b88*b267 + 4176*b88*b268 + 5916*b88*b269 + 6148*b88*b270 + 8120*b88
    *b271 + 1624*b88*b272 + 7656*b88*b273 + 6148*b88*b274 + 8352*b88*b275 + 
    5104*b88*b276 + 812*b88*b277 + 11252*b88*b278 + 5916*b88*b280 + 3248*b88*
    b281 + 7192*b88*b282 + 232*b88*b283 + 5684*b88*b284 + 6148*b88*b285 + 3248*
    b88*b287 + 3596*b88*b288 + 4464*b88*b289 + 4464*b88*b290 + 6324*b88*b291 + 
    6572*b88*b292 + 8680*b88*b293 + 1736*b88*b294 + 8184*b88*b295 + 6572*b88*
    b296 + 8928*b88*b297 + 5456*b88*b298 + 868*b88*b299 + 12028*b88*b300 + 6324
    *b88*b302 + 3472*b88*b303 + 7688*b88*b304 + 248*b88*b305 + 6076*b88*b306 + 
    6572*b88*b307 + 3472*b88*b309 + 3844*b88*b310 + 3528*b88*b311 + 3528*b88*
    b312 + 4998*b88*b313 + 5194*b88*b314 + 6860*b88*b315 + 1372*b88*b316 + 6468
    *b88*b317 + 5194*b88*b318 + 7056*b88*b319 + 4312*b88*b320 + 686*b88*b321 + 
    9506*b88*b322 + 4998*b88*b324 + 2744*b88*b325 + 6076*b88*b326 + 196*b88*
    b327 + 4802*b88*b328 + 5194*b88*b329 + 2744*b88*b331 + 3038*b88*b332 + 6768
    *b88*b333 + 6768*b88*b334 + 9588*b88*b335 + 9964*b88*b336 + 13160*b88*b337
     + 2632*b88*b338 + 12408*b88*b339 + 9964*b88*b340 + 13536*b88*b341 + 8272*
    b88*b342 + 1316*b88*b343 + 18236*b88*b344 + 9588*b88*b346 + 5264*b88*b347
     + 11656*b88*b348 + 376*b88*b349 + 9212*b88*b350 + 9964*b88*b351 + 5264*b88
    *b353 + 5828*b88*b354 + 6624*b88*b355 + 6624*b88*b356 + 9384*b88*b357 + 
    9752*b88*b358 + 12880*b88*b359 + 2576*b88*b360 + 12144*b88*b361 + 9752*b88*
    b362 + 13248*b88*b363 + 8096*b88*b364 + 1288*b88*b365 + 17848*b88*b366 + 
    9384*b88*b368 + 5152*b88*b369 + 11408*b88*b370 + 368*b88*b371 + 9016*b88*
    b372 + 9752*b88*b373 + 5152*b88*b375 + 5704*b88*b376 + 4536*b88*b377 + 4536
    *b88*b378 + 6426*b88*b379 + 6678*b88*b380 + 8820*b88*b381 + 1764*b88*b382
     + 8316*b88*b383 + 6678*b88*b384 + 9072*b88*b385 + 5544*b88*b386 + 882*b88*
    b387 + 12222*b88*b388 + 6426*b88*b390 + 3528*b88*b391 + 7812*b88*b392 + 252
    *b88*b393 + 6174*b88*b394 + 6678*b88*b395 + 3528*b88*b397 + 3906*b88*b398
     + 936*b88*b399 + 936*b88*b400 + 1326*b88*b401 + 1378*b88*b402 + 1820*b88*
    b403 + 364*b88*b404 + 1716*b88*b405 + 1378*b88*b406 + 1872*b88*b407 + 1144*
    b88*b408 + 182*b88*b409 + 2522*b88*b410 + 1326*b88*b412 + 728*b88*b413 + 
    1612*b88*b414 + 52*b88*b415 + 1274*b88*b416 + 1378*b88*b417 + 728*b88*b419
     + 806*b88*b420 + 3240*b88*b421 + 3240*b88*b422 + 4590*b88*b423 + 4770*b88*
    b424 + 6300*b88*b425 + 1260*b88*b426 + 5940*b88*b427 + 4770*b88*b428 + 6480
    *b88*b429 + 3960*b88*b430 + 630*b88*b431 + 8730*b88*b432 + 4590*b88*b434 + 
    2520*b88*b435 + 5580*b88*b436 + 180*b88*b437 + 4410*b88*b438 + 4770*b88*
    b439 + 2520*b88*b441 + 2790*b88*b442 + 1584*b88*b443 + 1584*b88*b444 + 2244
    *b88*b445 + 2332*b88*b446 + 3080*b88*b447 + 616*b88*b448 + 2904*b88*b449 + 
    2332*b88*b450 + 3168*b88*b451 + 1936*b88*b452 + 308*b88*b453 + 4268*b88*
    b454 + 2244*b88*b456 + 1232*b88*b457 + 2728*b88*b458 + 88*b88*b459 + 2156*
    b88*b460 + 2332*b88*b461 + 1232*b88*b463 + 1364*b88*b464 + 4968*b88*b465 + 
    4968*b88*b466 + 7038*b88*b467 + 7314*b88*b468 + 9660*b88*b469 + 1932*b88*
    b470 + 9108*b88*b471 + 7314*b88*b472 + 9936*b88*b473 + 6072*b88*b474 + 966*
    b88*b475 + 13386*b88*b476 + 7038*b88*b478 + 3864*b88*b479 + 8556*b88*b480
     + 276*b88*b481 + 6762*b88*b482 + 7314*b88*b483 + 3864*b88*b485 + 4278*b88*
    b486 + 5040*b88*b487 + 5040*b88*b488 + 7140*b88*b489 + 7420*b88*b490 + 9800
    *b88*b491 + 1960*b88*b492 + 9240*b88*b493 + 7420*b88*b494 + 10080*b88*b495
     + 6160*b88*b496 + 980*b88*b497 + 13580*b88*b498 + 7140*b88*b500 + 3920*b88
    *b501 + 8680*b88*b502 + 280*b88*b503 + 6860*b88*b504 + 7420*b88*b505 + 3920
    *b88*b507 + 4340*b88*b508 + 1296*b88*b509 + 1296*b88*b510 + 1836*b88*b511
     + 1908*b88*b512 + 2520*b88*b513 + 504*b88*b514 + 2376*b88*b515 + 1908*b88*
    b516 + 2592*b88*b517 + 1584*b88*b518 + 252*b88*b519 + 3492*b88*b520 + 1836*
    b88*b522 + 1008*b88*b523 + 2232*b88*b524 + 72*b88*b525 + 1764*b88*b526 + 
    1908*b88*b527 + 1008*b88*b529 + 1116*b88*b530 + 3230*b88*b531 + 2926*b88*
    b532 + 2850*b88*b533 + 340*b88*b534 + 308*b88*b535 + 300*b88*b536 + 2040*
    b88*b540 + 1848*b88*b541 + 1800*b88*b542 + 15470*b88*b543 + 14014*b88*b544
     + 13650*b88*b545 + 10710*b88*b546 + 9702*b88*b547 + 9450*b88*b548 + 11900*
    b88*b549 + 10780*b88*b550 + 10500*b88*b551 + 170*b88*b552 + 154*b88*b553 + 
    150*b88*b554 + 3740*b88*b555 + 3388*b88*b556 + 3300*b88*b557 + 8330*b88*
    b558 + 7546*b88*b559 + 7350*b88*b560 + 4080*b88*b561 + 3696*b88*b562 + 3600
    *b88*b563 + 9860*b88*b564 + 8932*b88*b565 + 8700*b88*b566 + 10540*b88*b567
     + 9548*b88*b568 + 9300*b88*b569 + 8330*b88*b570 + 7546*b88*b571 + 7350*b88
    *b572 + 15980*b88*b573 + 14476*b88*b574 + 14100*b88*b575 + 15640*b88*b576
     + 14168*b88*b577 + 13800*b88*b578 + 10710*b88*b579 + 9702*b88*b580 + 9450*
    b88*b581 + 2210*b88*b582 + 2002*b88*b583 + 1950*b88*b584 + 7650*b88*b585 + 
    6930*b88*b586 + 6750*b88*b587 + 3740*b88*b588 + 3388*b88*b589 + 3300*b88*
    b590 + 11730*b88*b591 + 10626*b88*b592 + 10350*b88*b593 + 11900*b88*b594 + 
    10780*b88*b595 + 10500*b88*b596 + 3060*b88*b597 + 2772*b88*b598 + 2700*b88*
    b599 + 2304*b88*b600 + 3264*b88*b601 + 3392*b88*b602 + 4480*b88*b603 + 896*
    b88*b604 + 4224*b88*b605 + 3392*b88*b606 + 4608*b88*b607 + 2816*b88*b608 + 
    448*b88*b609 + 6208*b88*b610 + 3264*b88*b612 + 1792*b88*b613 + 4928*b88*
    b614 + 3968*b88*b615 + 128*b88*b616 + 3136*b88*b617 + 3392*b88*b618 + 1792*
    b88*b620 + 1984*b88*b621 + 4800*b88*b622 + 2304*b88*b623 + 10200*b88*b624
     + 9240*b88*b625 + 9000*b88*b626 + 504*b89*b91 + 648*b89*b92 + 72*b89*b93
     + 888*b89*b94 + 2376*b89*b95 + 2136*b89*b96 + 1392*b89*b97 + 1848*b89*b98
     + 168*b89*b99 + 840*b89*b100 + 2088*b89*b101 + 792*b89*b102 + 1152*b89*
    b103 + 1608*b89*b104 + 1824*b89*b105 + 1992*b89*b106 + 48*b89*b107 + 1464*
    b89*b108 + 2304*b89*b109 + 672*b89*b110 + 24*b89*b112 + 3822*b89*b113 + 
    4914*b89*b114 + 546*b89*b115 + 6734*b89*b116 + 18018*b89*b117 + 16198*b89*
    b118 + 10556*b89*b119 + 14014*b89*b120 + 1274*b89*b121 + 6370*b89*b122 + 
    15834*b89*b123 + 6006*b89*b124 + 8736*b89*b125 + 12194*b89*b126 + 13832*b89
    *b127 + 15106*b89*b128 + 364*b89*b129 + 11102*b89*b130 + 17472*b89*b131 + 
    5096*b89*b132 + 182*b89*b134 + 2646*b89*b135 + 3402*b89*b136 + 378*b89*b137
     + 4662*b89*b138 + 12474*b89*b139 + 11214*b89*b140 + 7308*b89*b141 + 9702*
    b89*b142 + 882*b89*b143 + 4410*b89*b144 + 10962*b89*b145 + 4158*b89*b146 + 
    6048*b89*b147 + 8442*b89*b148 + 9576*b89*b149 + 10458*b89*b150 + 252*b89*
    b151 + 7686*b89*b152 + 12096*b89*b153 + 3528*b89*b154 + 126*b89*b156 + 2940
    *b89*b157 + 3780*b89*b158 + 420*b89*b159 + 5180*b89*b160 + 13860*b89*b161
     + 12460*b89*b162 + 8120*b89*b163 + 10780*b89*b164 + 980*b89*b165 + 4900*
    b89*b166 + 12180*b89*b167 + 4620*b89*b168 + 6720*b89*b169 + 9380*b89*b170
     + 10640*b89*b171 + 11620*b89*b172 + 280*b89*b173 + 8540*b89*b174 + 13440*
    b89*b175 + 3920*b89*b176 + 140*b89*b178 + 42*b89*b179 + 54*b89*b180 + 6*b89
    *b181 + 74*b89*b182 + 198*b89*b183 + 178*b89*b184 + 116*b89*b185 + 154*b89*
    b186 + 14*b89*b187 + 70*b89*b188 + 174*b89*b189 + 66*b89*b190 + 96*b89*b191
     + 134*b89*b192 + 152*b89*b193 + 166*b89*b194 + 4*b89*b195 + 122*b89*b196
     + 192*b89*b197 + 56*b89*b198 + 2*b89*b200 + 924*b89*b201 + 1188*b89*b202
     + 132*b89*b203 + 1628*b89*b204 + 4356*b89*b205 + 3916*b89*b206 + 2552*b89*
    b207 + 3388*b89*b208 + 308*b89*b209 + 1540*b89*b210 + 3828*b89*b211 + 1452*
    b89*b212 + 2112*b89*b213 + 2948*b89*b214 + 3344*b89*b215 + 3652*b89*b216 + 
    88*b89*b217 + 2684*b89*b218 + 4224*b89*b219 + 1232*b89*b220 + 44*b89*b222
     + 2058*b89*b223 + 2646*b89*b224 + 294*b89*b225 + 3626*b89*b226 + 9702*b89*
    b227 + 8722*b89*b228 + 5684*b89*b229 + 7546*b89*b230 + 686*b89*b231 + 3430*
    b89*b232 + 8526*b89*b233 + 3234*b89*b234 + 4704*b89*b235 + 6566*b89*b236 + 
    7448*b89*b237 + 8134*b89*b238 + 196*b89*b239 + 5978*b89*b240 + 9408*b89*
    b241 + 2744*b89*b242 + 98*b89*b244 + 1008*b89*b245 + 1296*b89*b246 + 144*
    b89*b247 + 1776*b89*b248 + 4752*b89*b249 + 4272*b89*b250 + 2784*b89*b251 + 
    3696*b89*b252 + 336*b89*b253 + 1680*b89*b254 + 4176*b89*b255 + 1584*b89*
    b256 + 2304*b89*b257 + 3216*b89*b258 + 3648*b89*b259 + 3984*b89*b260 + 96*
    b89*b261 + 2928*b89*b262 + 4608*b89*b263 + 1344*b89*b264 + 48*b89*b266 + 
    2436*b89*b267 + 3132*b89*b268 + 348*b89*b269 + 4292*b89*b270 + 11484*b89*
    b271 + 10324*b89*b272 + 6728*b89*b273 + 8932*b89*b274 + 812*b89*b275 + 4060
    *b89*b276 + 10092*b89*b277 + 3828*b89*b278 + 5568*b89*b279 + 7772*b89*b280
     + 8816*b89*b281 + 9628*b89*b282 + 232*b89*b283 + 7076*b89*b284 + 11136*b89
    *b285 + 3248*b89*b286 + 116*b89*b288 + 2604*b89*b289 + 3348*b89*b290 + 372*
    b89*b291 + 4588*b89*b292 + 12276*b89*b293 + 11036*b89*b294 + 7192*b89*b295
     + 9548*b89*b296 + 868*b89*b297 + 4340*b89*b298 + 10788*b89*b299 + 4092*b89
    *b300 + 5952*b89*b301 + 8308*b89*b302 + 9424*b89*b303 + 10292*b89*b304 + 
    248*b89*b305 + 7564*b89*b306 + 11904*b89*b307 + 3472*b89*b308 + 124*b89*
    b310 + 2058*b89*b311 + 2646*b89*b312 + 294*b89*b313 + 3626*b89*b314 + 9702*
    b89*b315 + 8722*b89*b316 + 5684*b89*b317 + 7546*b89*b318 + 686*b89*b319 + 
    3430*b89*b320 + 8526*b89*b321 + 3234*b89*b322 + 4704*b89*b323 + 6566*b89*
    b324 + 7448*b89*b325 + 8134*b89*b326 + 196*b89*b327 + 5978*b89*b328 + 9408*
    b89*b329 + 2744*b89*b330 + 98*b89*b332 + 3948*b89*b333 + 5076*b89*b334 + 
    564*b89*b335 + 6956*b89*b336 + 18612*b89*b337 + 16732*b89*b338 + 10904*b89*
    b339 + 14476*b89*b340 + 1316*b89*b341 + 6580*b89*b342 + 16356*b89*b343 + 
    6204*b89*b344 + 9024*b89*b345 + 12596*b89*b346 + 14288*b89*b347 + 15604*b89
    *b348 + 376*b89*b349 + 11468*b89*b350 + 18048*b89*b351 + 5264*b89*b352 + 
    188*b89*b354 + 3864*b89*b355 + 4968*b89*b356 + 552*b89*b357 + 6808*b89*b358
     + 18216*b89*b359 + 16376*b89*b360 + 10672*b89*b361 + 14168*b89*b362 + 1288
    *b89*b363 + 6440*b89*b364 + 16008*b89*b365 + 6072*b89*b366 + 8832*b89*b367
     + 12328*b89*b368 + 13984*b89*b369 + 15272*b89*b370 + 368*b89*b371 + 11224*
    b89*b372 + 17664*b89*b373 + 5152*b89*b374 + 184*b89*b376 + 2646*b89*b377 + 
    3402*b89*b378 + 378*b89*b379 + 4662*b89*b380 + 12474*b89*b381 + 11214*b89*
    b382 + 7308*b89*b383 + 9702*b89*b384 + 882*b89*b385 + 4410*b89*b386 + 10962
    *b89*b387 + 4158*b89*b388 + 6048*b89*b389 + 8442*b89*b390 + 9576*b89*b391
     + 10458*b89*b392 + 252*b89*b393 + 7686*b89*b394 + 12096*b89*b395 + 3528*
    b89*b396 + 126*b89*b398 + 546*b89*b399 + 702*b89*b400 + 78*b89*b401 + 962*
    b89*b402 + 2574*b89*b403 + 2314*b89*b404 + 1508*b89*b405 + 2002*b89*b406 + 
    182*b89*b407 + 910*b89*b408 + 2262*b89*b409 + 858*b89*b410 + 1248*b89*b411
     + 1742*b89*b412 + 1976*b89*b413 + 2158*b89*b414 + 52*b89*b415 + 1586*b89*
    b416 + 2496*b89*b417 + 728*b89*b418 + 26*b89*b420 + 1890*b89*b421 + 2430*
    b89*b422 + 270*b89*b423 + 3330*b89*b424 + 8910*b89*b425 + 8010*b89*b426 + 
    5220*b89*b427 + 6930*b89*b428 + 630*b89*b429 + 3150*b89*b430 + 7830*b89*
    b431 + 2970*b89*b432 + 4320*b89*b433 + 6030*b89*b434 + 6840*b89*b435 + 7470
    *b89*b436 + 180*b89*b437 + 5490*b89*b438 + 8640*b89*b439 + 2520*b89*b440 + 
    90*b89*b442 + 924*b89*b443 + 1188*b89*b444 + 132*b89*b445 + 1628*b89*b446
     + 4356*b89*b447 + 3916*b89*b448 + 2552*b89*b449 + 3388*b89*b450 + 308*b89*
    b451 + 1540*b89*b452 + 3828*b89*b453 + 1452*b89*b454 + 2112*b89*b455 + 2948
    *b89*b456 + 3344*b89*b457 + 3652*b89*b458 + 88*b89*b459 + 2684*b89*b460 + 
    4224*b89*b461 + 1232*b89*b462 + 44*b89*b464 + 2898*b89*b465 + 3726*b89*b466
     + 414*b89*b467 + 5106*b89*b468 + 13662*b89*b469 + 12282*b89*b470 + 8004*
    b89*b471 + 10626*b89*b472 + 966*b89*b473 + 4830*b89*b474 + 12006*b89*b475
     + 4554*b89*b476 + 6624*b89*b477 + 9246*b89*b478 + 10488*b89*b479 + 11454*
    b89*b480 + 276*b89*b481 + 8418*b89*b482 + 13248*b89*b483 + 3864*b89*b484 + 
    138*b89*b486 + 2940*b89*b487 + 3780*b89*b488 + 420*b89*b489 + 5180*b89*b490
     + 13860*b89*b491 + 12460*b89*b492 + 8120*b89*b493 + 10780*b89*b494 + 980*
    b89*b495 + 4900*b89*b496 + 12180*b89*b497 + 4620*b89*b498 + 6720*b89*b499
     + 9380*b89*b500 + 10640*b89*b501 + 11620*b89*b502 + 280*b89*b503 + 8540*
    b89*b504 + 13440*b89*b505 + 3920*b89*b506 + 140*b89*b508 + 756*b89*b509 + 
    972*b89*b510 + 108*b89*b511 + 1332*b89*b512 + 3564*b89*b513 + 3204*b89*b514
     + 2088*b89*b515 + 2772*b89*b516 + 252*b89*b517 + 1260*b89*b518 + 3132*b89*
    b519 + 1188*b89*b520 + 1728*b89*b521 + 2412*b89*b522 + 2736*b89*b523 + 2988
    *b89*b524 + 72*b89*b525 + 2196*b89*b526 + 3456*b89*b527 + 1008*b89*b528 + 
    36*b89*b530 + 3192*b89*b531 + 1672*b89*b532 + 3610*b89*b533 + 336*b89*b534
     + 176*b89*b535 + 380*b89*b536 + 2016*b89*b540 + 1056*b89*b541 + 2280*b89*
    b542 + 15288*b89*b543 + 8008*b89*b544 + 17290*b89*b545 + 10584*b89*b546 + 
    5544*b89*b547 + 11970*b89*b548 + 11760*b89*b549 + 6160*b89*b550 + 13300*b89
    *b551 + 168*b89*b552 + 88*b89*b553 + 190*b89*b554 + 3696*b89*b555 + 1936*
    b89*b556 + 4180*b89*b557 + 8232*b89*b558 + 4312*b89*b559 + 9310*b89*b560 + 
    4032*b89*b561 + 2112*b89*b562 + 4560*b89*b563 + 9744*b89*b564 + 5104*b89*
    b565 + 11020*b89*b566 + 10416*b89*b567 + 5456*b89*b568 + 11780*b89*b569 + 
    8232*b89*b570 + 4312*b89*b571 + 9310*b89*b572 + 15792*b89*b573 + 8272*b89*
    b574 + 17860*b89*b575 + 15456*b89*b576 + 8096*b89*b577 + 17480*b89*b578 + 
    10584*b89*b579 + 5544*b89*b580 + 11970*b89*b581 + 2184*b89*b582 + 1144*b89*
    b583 + 2470*b89*b584 + 7560*b89*b585 + 3960*b89*b586 + 8550*b89*b587 + 3696
    *b89*b588 + 1936*b89*b589 + 4180*b89*b590 + 11592*b89*b591 + 6072*b89*b592
     + 13110*b89*b593 + 11760*b89*b594 + 6160*b89*b595 + 13300*b89*b596 + 3024*
    b89*b597 + 1584*b89*b598 + 3420*b89*b599 + 1728*b89*b600 + 192*b89*b601 + 
    2368*b89*b602 + 6336*b89*b603 + 5696*b89*b604 + 3712*b89*b605 + 4928*b89*
    b606 + 448*b89*b607 + 2240*b89*b608 + 5568*b89*b609 + 2112*b89*b610 + 3072*
    b89*b611 + 4288*b89*b612 + 4864*b89*b613 + 2816*b89*b614 + 5312*b89*b615 + 
    128*b89*b616 + 3904*b89*b617 + 6144*b89*b618 + 1792*b89*b619 + 64*b89*b621
     + 6080*b89*b622 + 1344*b89*b623 + 10080*b89*b624 + 5280*b89*b625 + 11400*
    b89*b626 + 1704*b90*b91 + 2040*b90*b92 + 1152*b90*b93 + 624*b90*b94 + 1440*
    b90*b95 + 1056*b90*b96 + 720*b90*b97 + 1200*b90*b98 + 1176*b90*b99 + 72*b90
    *b100 + 1632*b90*b101 + 840*b90*b102 + 1488*b90*b103 + 936*b90*b104 + 1584*
    b90*b105 + 2184*b90*b106 + 1032*b90*b107 + 120*b90*b108 + 1968*b90*b109 + 
    744*b90*b110 + 24*b90*b111 + 12922*b90*b113 + 15470*b90*b114 + 8736*b90*
    b115 + 4732*b90*b116 + 10920*b90*b117 + 8008*b90*b118 + 5460*b90*b119 + 
    9100*b90*b120 + 8918*b90*b121 + 546*b90*b122 + 12376*b90*b123 + 6370*b90*
    b124 + 11284*b90*b125 + 7098*b90*b126 + 12012*b90*b127 + 16562*b90*b128 + 
    7826*b90*b129 + 910*b90*b130 + 14924*b90*b131 + 5642*b90*b132 + 182*b90*
    b133 + 8946*b90*b135 + 10710*b90*b136 + 6048*b90*b137 + 3276*b90*b138 + 
    7560*b90*b139 + 5544*b90*b140 + 3780*b90*b141 + 6300*b90*b142 + 6174*b90*
    b143 + 378*b90*b144 + 8568*b90*b145 + 4410*b90*b146 + 7812*b90*b147 + 4914*
    b90*b148 + 8316*b90*b149 + 11466*b90*b150 + 5418*b90*b151 + 630*b90*b152 + 
    10332*b90*b153 + 3906*b90*b154 + 126*b90*b155 + 9940*b90*b157 + 11900*b90*
    b158 + 6720*b90*b159 + 3640*b90*b160 + 8400*b90*b161 + 6160*b90*b162 + 4200
    *b90*b163 + 7000*b90*b164 + 6860*b90*b165 + 420*b90*b166 + 9520*b90*b167 + 
    4900*b90*b168 + 8680*b90*b169 + 5460*b90*b170 + 9240*b90*b171 + 12740*b90*
    b172 + 6020*b90*b173 + 700*b90*b174 + 11480*b90*b175 + 4340*b90*b176 + 140*
    b90*b177 + 142*b90*b179 + 170*b90*b180 + 96*b90*b181 + 52*b90*b182 + 120*
    b90*b183 + 88*b90*b184 + 60*b90*b185 + 100*b90*b186 + 98*b90*b187 + 6*b90*
    b188 + 136*b90*b189 + 70*b90*b190 + 124*b90*b191 + 78*b90*b192 + 132*b90*
    b193 + 182*b90*b194 + 86*b90*b195 + 10*b90*b196 + 164*b90*b197 + 62*b90*
    b198 + 2*b90*b199 + 3124*b90*b201 + 3740*b90*b202 + 2112*b90*b203 + 1144*
    b90*b204 + 2640*b90*b205 + 1936*b90*b206 + 1320*b90*b207 + 2200*b90*b208 + 
    2156*b90*b209 + 132*b90*b210 + 2992*b90*b211 + 1540*b90*b212 + 2728*b90*
    b213 + 1716*b90*b214 + 2904*b90*b215 + 4004*b90*b216 + 1892*b90*b217 + 220*
    b90*b218 + 3608*b90*b219 + 1364*b90*b220 + 44*b90*b221 + 6958*b90*b223 + 
    8330*b90*b224 + 4704*b90*b225 + 2548*b90*b226 + 5880*b90*b227 + 4312*b90*
    b228 + 2940*b90*b229 + 4900*b90*b230 + 4802*b90*b231 + 294*b90*b232 + 6664*
    b90*b233 + 3430*b90*b234 + 6076*b90*b235 + 3822*b90*b236 + 6468*b90*b237 + 
    8918*b90*b238 + 4214*b90*b239 + 490*b90*b240 + 8036*b90*b241 + 3038*b90*
    b242 + 98*b90*b243 + 3408*b90*b245 + 4080*b90*b246 + 2304*b90*b247 + 1248*
    b90*b248 + 2880*b90*b249 + 2112*b90*b250 + 1440*b90*b251 + 2400*b90*b252 + 
    2352*b90*b253 + 144*b90*b254 + 3264*b90*b255 + 1680*b90*b256 + 2976*b90*
    b257 + 1872*b90*b258 + 3168*b90*b259 + 4368*b90*b260 + 2064*b90*b261 + 240*
    b90*b262 + 3936*b90*b263 + 1488*b90*b264 + 48*b90*b265 + 8236*b90*b267 + 
    9860*b90*b268 + 5568*b90*b269 + 3016*b90*b270 + 6960*b90*b271 + 5104*b90*
    b272 + 3480*b90*b273 + 5800*b90*b274 + 5684*b90*b275 + 348*b90*b276 + 7888*
    b90*b277 + 4060*b90*b278 + 7192*b90*b279 + 4524*b90*b280 + 7656*b90*b281 + 
    10556*b90*b282 + 4988*b90*b283 + 580*b90*b284 + 9512*b90*b285 + 3596*b90*
    b286 + 116*b90*b287 + 8804*b90*b289 + 10540*b90*b290 + 5952*b90*b291 + 3224
    *b90*b292 + 7440*b90*b293 + 5456*b90*b294 + 3720*b90*b295 + 6200*b90*b296
     + 6076*b90*b297 + 372*b90*b298 + 8432*b90*b299 + 4340*b90*b300 + 7688*b90*
    b301 + 4836*b90*b302 + 8184*b90*b303 + 11284*b90*b304 + 5332*b90*b305 + 620
    *b90*b306 + 10168*b90*b307 + 3844*b90*b308 + 124*b90*b309 + 6958*b90*b311
     + 8330*b90*b312 + 4704*b90*b313 + 2548*b90*b314 + 5880*b90*b315 + 4312*b90
    *b316 + 2940*b90*b317 + 4900*b90*b318 + 4802*b90*b319 + 294*b90*b320 + 6664
    *b90*b321 + 3430*b90*b322 + 6076*b90*b323 + 3822*b90*b324 + 6468*b90*b325
     + 8918*b90*b326 + 4214*b90*b327 + 490*b90*b328 + 8036*b90*b329 + 3038*b90*
    b330 + 98*b90*b331 + 13348*b90*b333 + 15980*b90*b334 + 9024*b90*b335 + 4888
    *b90*b336 + 11280*b90*b337 + 8272*b90*b338 + 5640*b90*b339 + 9400*b90*b340
     + 9212*b90*b341 + 564*b90*b342 + 12784*b90*b343 + 6580*b90*b344 + 11656*
    b90*b345 + 7332*b90*b346 + 12408*b90*b347 + 17108*b90*b348 + 8084*b90*b349
     + 940*b90*b350 + 15416*b90*b351 + 5828*b90*b352 + 188*b90*b353 + 13064*b90
    *b355 + 15640*b90*b356 + 8832*b90*b357 + 4784*b90*b358 + 11040*b90*b359 + 
    8096*b90*b360 + 5520*b90*b361 + 9200*b90*b362 + 9016*b90*b363 + 552*b90*
    b364 + 12512*b90*b365 + 6440*b90*b366 + 11408*b90*b367 + 7176*b90*b368 + 
    12144*b90*b369 + 16744*b90*b370 + 7912*b90*b371 + 920*b90*b372 + 15088*b90*
    b373 + 5704*b90*b374 + 184*b90*b375 + 8946*b90*b377 + 10710*b90*b378 + 6048
    *b90*b379 + 3276*b90*b380 + 7560*b90*b381 + 5544*b90*b382 + 3780*b90*b383
     + 6300*b90*b384 + 6174*b90*b385 + 378*b90*b386 + 8568*b90*b387 + 4410*b90*
    b388 + 7812*b90*b389 + 4914*b90*b390 + 8316*b90*b391 + 11466*b90*b392 + 
    5418*b90*b393 + 630*b90*b394 + 10332*b90*b395 + 3906*b90*b396 + 126*b90*
    b397 + 1846*b90*b399 + 2210*b90*b400 + 1248*b90*b401 + 676*b90*b402 + 1560*
    b90*b403 + 1144*b90*b404 + 780*b90*b405 + 1300*b90*b406 + 1274*b90*b407 + 
    78*b90*b408 + 1768*b90*b409 + 910*b90*b410 + 1612*b90*b411 + 1014*b90*b412
     + 1716*b90*b413 + 2366*b90*b414 + 1118*b90*b415 + 130*b90*b416 + 2132*b90*
    b417 + 806*b90*b418 + 26*b90*b419 + 6390*b90*b421 + 7650*b90*b422 + 4320*
    b90*b423 + 2340*b90*b424 + 5400*b90*b425 + 3960*b90*b426 + 2700*b90*b427 + 
    4500*b90*b428 + 4410*b90*b429 + 270*b90*b430 + 6120*b90*b431 + 3150*b90*
    b432 + 5580*b90*b433 + 3510*b90*b434 + 5940*b90*b435 + 8190*b90*b436 + 3870
    *b90*b437 + 450*b90*b438 + 7380*b90*b439 + 2790*b90*b440 + 90*b90*b441 + 
    3124*b90*b443 + 3740*b90*b444 + 2112*b90*b445 + 1144*b90*b446 + 2640*b90*
    b447 + 1936*b90*b448 + 1320*b90*b449 + 2200*b90*b450 + 2156*b90*b451 + 132*
    b90*b452 + 2992*b90*b453 + 1540*b90*b454 + 2728*b90*b455 + 1716*b90*b456 + 
    2904*b90*b457 + 4004*b90*b458 + 1892*b90*b459 + 220*b90*b460 + 3608*b90*
    b461 + 1364*b90*b462 + 44*b90*b463 + 9798*b90*b465 + 11730*b90*b466 + 6624*
    b90*b467 + 3588*b90*b468 + 8280*b90*b469 + 6072*b90*b470 + 4140*b90*b471 + 
    6900*b90*b472 + 6762*b90*b473 + 414*b90*b474 + 9384*b90*b475 + 4830*b90*
    b476 + 8556*b90*b477 + 5382*b90*b478 + 9108*b90*b479 + 12558*b90*b480 + 
    5934*b90*b481 + 690*b90*b482 + 11316*b90*b483 + 4278*b90*b484 + 138*b90*
    b485 + 9940*b90*b487 + 11900*b90*b488 + 6720*b90*b489 + 3640*b90*b490 + 
    8400*b90*b491 + 6160*b90*b492 + 4200*b90*b493 + 7000*b90*b494 + 6860*b90*
    b495 + 420*b90*b496 + 9520*b90*b497 + 4900*b90*b498 + 8680*b90*b499 + 5460*
    b90*b500 + 9240*b90*b501 + 12740*b90*b502 + 6020*b90*b503 + 700*b90*b504 + 
    11480*b90*b505 + 4340*b90*b506 + 140*b90*b507 + 2556*b90*b509 + 3060*b90*
    b510 + 1728*b90*b511 + 936*b90*b512 + 2160*b90*b513 + 1584*b90*b514 + 1080*
    b90*b515 + 1800*b90*b516 + 1764*b90*b517 + 108*b90*b518 + 2448*b90*b519 + 
    1260*b90*b520 + 2232*b90*b521 + 1404*b90*b522 + 2376*b90*b523 + 3276*b90*
    b524 + 1548*b90*b525 + 180*b90*b526 + 2952*b90*b527 + 1116*b90*b528 + 36*
    b90*b529 + 456*b90*b531 + 988*b90*b532 + 266*b90*b533 + 48*b90*b534 + 104*
    b90*b535 + 28*b90*b536 + 288*b90*b540 + 624*b90*b541 + 168*b90*b542 + 2184*
    b90*b543 + 4732*b90*b544 + 1274*b90*b545 + 1512*b90*b546 + 3276*b90*b547 + 
    882*b90*b548 + 1680*b90*b549 + 3640*b90*b550 + 980*b90*b551 + 24*b90*b552
     + 52*b90*b553 + 14*b90*b554 + 528*b90*b555 + 1144*b90*b556 + 308*b90*b557
     + 1176*b90*b558 + 2548*b90*b559 + 686*b90*b560 + 576*b90*b561 + 1248*b90*
    b562 + 336*b90*b563 + 1392*b90*b564 + 3016*b90*b565 + 812*b90*b566 + 1488*
    b90*b567 + 3224*b90*b568 + 868*b90*b569 + 1176*b90*b570 + 2548*b90*b571 + 
    686*b90*b572 + 2256*b90*b573 + 4888*b90*b574 + 1316*b90*b575 + 2208*b90*
    b576 + 4784*b90*b577 + 1288*b90*b578 + 1512*b90*b579 + 3276*b90*b580 + 882*
    b90*b581 + 312*b90*b582 + 676*b90*b583 + 182*b90*b584 + 1080*b90*b585 + 
    2340*b90*b586 + 630*b90*b587 + 528*b90*b588 + 1144*b90*b589 + 308*b90*b590
     + 1656*b90*b591 + 3588*b90*b592 + 966*b90*b593 + 1680*b90*b594 + 3640*b90*
    b595 + 980*b90*b596 + 432*b90*b597 + 936*b90*b598 + 252*b90*b599 + 5440*b90
    *b600 + 3072*b90*b601 + 1664*b90*b602 + 3840*b90*b603 + 2816*b90*b604 + 
    1920*b90*b605 + 3200*b90*b606 + 3136*b90*b607 + 192*b90*b608 + 4352*b90*
    b609 + 2240*b90*b610 + 3968*b90*b611 + 2496*b90*b612 + 4224*b90*b613 + 1664
    *b90*b614 + 5824*b90*b615 + 2752*b90*b616 + 320*b90*b617 + 5248*b90*b618 + 
    1984*b90*b619 + 64*b90*b620 + 448*b90*b622 + 4544*b90*b623 + 1440*b90*b624
     + 3120*b90*b625 + 840*b90*b626 + 52*b91*b114 + 182*b91*b115 + 22*b91*b116
     + 70*b91*b117 + 164*b91*b118 + 52*b91*b119 + 138*b91*b120 + 112*b91*b121
     + 172*b91*b122 + 90*b91*b123 + 182*b91*b124 + 118*b91*b125 + 36*b91*b126
     + 152*b91*b127 + 36*b91*b128 + 114*b91*b129 + 72*b91*b130 + 122*b91*b131
     + 72*b91*b132 + 42*b91*b133 + 142*b91*b134 + 2288*b91*b136 + 8008*b91*b137
     + 968*b91*b138 + 3080*b91*b139 + 7216*b91*b140 + 2288*b91*b141 + 6072*b91*
    b142 + 4928*b91*b143 + 7568*b91*b144 + 3960*b91*b145 + 8008*b91*b146 + 5192
    *b91*b147 + 1584*b91*b148 + 6688*b91*b149 + 1584*b91*b150 + 5016*b91*b151
     + 3168*b91*b152 + 5368*b91*b153 + 3168*b91*b154 + 1848*b91*b155 + 6248*b91
    *b156 + 1664*b91*b158 + 5824*b91*b159 + 704*b91*b160 + 2240*b91*b161 + 5248
    *b91*b162 + 1664*b91*b163 + 4416*b91*b164 + 3584*b91*b165 + 5504*b91*b166
     + 2880*b91*b167 + 5824*b91*b168 + 3776*b91*b169 + 1152*b91*b170 + 4864*b91
    *b171 + 1152*b91*b172 + 3648*b91*b173 + 2304*b91*b174 + 3904*b91*b175 + 
    2304*b91*b176 + 1344*b91*b177 + 4544*b91*b178 + 156*b91*b180 + 546*b91*b181
     + 66*b91*b182 + 210*b91*b183 + 492*b91*b184 + 156*b91*b185 + 414*b91*b186
     + 336*b91*b187 + 516*b91*b188 + 270*b91*b189 + 546*b91*b190 + 354*b91*b191
     + 108*b91*b192 + 456*b91*b193 + 108*b91*b194 + 342*b91*b195 + 216*b91*b196
     + 366*b91*b197 + 216*b91*b198 + 126*b91*b199 + 426*b91*b200 + 3744*b91*
    b202 + 13104*b91*b203 + 1584*b91*b204 + 5040*b91*b205 + 11808*b91*b206 + 
    3744*b91*b207 + 9936*b91*b208 + 8064*b91*b209 + 12384*b91*b210 + 6480*b91*
    b211 + 13104*b91*b212 + 8496*b91*b213 + 2592*b91*b214 + 10944*b91*b215 + 
    2592*b91*b216 + 8208*b91*b217 + 5184*b91*b218 + 8784*b91*b219 + 5184*b91*
    b220 + 3024*b91*b221 + 10224*b91*b222 + 5148*b91*b224 + 18018*b91*b225 + 
    2178*b91*b226 + 6930*b91*b227 + 16236*b91*b228 + 5148*b91*b229 + 13662*b91*
    b230 + 11088*b91*b231 + 17028*b91*b232 + 8910*b91*b233 + 18018*b91*b234 + 
    11682*b91*b235 + 3564*b91*b236 + 15048*b91*b237 + 3564*b91*b238 + 11286*b91
    *b239 + 7128*b91*b240 + 12078*b91*b241 + 7128*b91*b242 + 4158*b91*b243 + 
    14058*b91*b244 + 1768*b91*b246 + 6188*b91*b247 + 748*b91*b248 + 2380*b91*
    b249 + 5576*b91*b250 + 1768*b91*b251 + 4692*b91*b252 + 3808*b91*b253 + 5848
    *b91*b254 + 3060*b91*b255 + 6188*b91*b256 + 4012*b91*b257 + 1224*b91*b258
     + 5168*b91*b259 + 1224*b91*b260 + 3876*b91*b261 + 2448*b91*b262 + 4148*b91
    *b263 + 2448*b91*b264 + 1428*b91*b265 + 4828*b91*b266 + 2340*b91*b268 + 
    8190*b91*b269 + 990*b91*b270 + 3150*b91*b271 + 7380*b91*b272 + 2340*b91*
    b273 + 6210*b91*b274 + 5040*b91*b275 + 7740*b91*b276 + 4050*b91*b277 + 8190
    *b91*b278 + 5310*b91*b279 + 1620*b91*b280 + 6840*b91*b281 + 1620*b91*b282
     + 5130*b91*b283 + 3240*b91*b284 + 5490*b91*b285 + 3240*b91*b286 + 1890*b91
    *b287 + 6390*b91*b288 + 936*b91*b290 + 3276*b91*b291 + 396*b91*b292 + 1260*
    b91*b293 + 2952*b91*b294 + 936*b91*b295 + 2484*b91*b296 + 2016*b91*b297 + 
    3096*b91*b298 + 1620*b91*b299 + 3276*b91*b300 + 2124*b91*b301 + 648*b91*
    b302 + 2736*b91*b303 + 648*b91*b304 + 2052*b91*b305 + 1296*b91*b306 + 2196*
    b91*b307 + 1296*b91*b308 + 756*b91*b309 + 2556*b91*b310 + 4992*b91*b312 + 
    17472*b91*b313 + 2112*b91*b314 + 6720*b91*b315 + 15744*b91*b316 + 4992*b91*
    b317 + 13248*b91*b318 + 10752*b91*b319 + 16512*b91*b320 + 8640*b91*b321 + 
    17472*b91*b322 + 11328*b91*b323 + 3456*b91*b324 + 14592*b91*b325 + 3456*b91
    *b326 + 10944*b91*b327 + 6912*b91*b328 + 11712*b91*b329 + 6912*b91*b330 + 
    4032*b91*b331 + 13632*b91*b332 + 4264*b91*b334 + 14924*b91*b335 + 1804*b91*
    b336 + 5740*b91*b337 + 13448*b91*b338 + 4264*b91*b339 + 11316*b91*b340 + 
    9184*b91*b341 + 14104*b91*b342 + 7380*b91*b343 + 14924*b91*b344 + 9676*b91*
    b345 + 2952*b91*b346 + 12464*b91*b347 + 2952*b91*b348 + 9348*b91*b349 + 
    5904*b91*b350 + 10004*b91*b351 + 5904*b91*b352 + 3444*b91*b353 + 11644*b91*
    b354 + 4108*b91*b356 + 14378*b91*b357 + 1738*b91*b358 + 5530*b91*b359 + 
    12956*b91*b360 + 4108*b91*b361 + 10902*b91*b362 + 8848*b91*b363 + 13588*b91
    *b364 + 7110*b91*b365 + 14378*b91*b366 + 9322*b91*b367 + 2844*b91*b368 + 
    12008*b91*b369 + 2844*b91*b370 + 9006*b91*b371 + 5688*b91*b372 + 9638*b91*
    b373 + 5688*b91*b374 + 3318*b91*b375 + 11218*b91*b376 + 3900*b91*b378 + 
    13650*b91*b379 + 1650*b91*b380 + 5250*b91*b381 + 12300*b91*b382 + 3900*b91*
    b383 + 10350*b91*b384 + 8400*b91*b385 + 12900*b91*b386 + 6750*b91*b387 + 
    13650*b91*b388 + 8850*b91*b389 + 2700*b91*b390 + 11400*b91*b391 + 2700*b91*
    b392 + 8550*b91*b393 + 5400*b91*b394 + 9150*b91*b395 + 5400*b91*b396 + 3150
    *b91*b397 + 10650*b91*b398 + 4316*b91*b400 + 15106*b91*b401 + 1826*b91*b402
     + 5810*b91*b403 + 13612*b91*b404 + 4316*b91*b405 + 11454*b91*b406 + 9296*
    b91*b407 + 14276*b91*b408 + 7470*b91*b409 + 15106*b91*b410 + 9794*b91*b411
     + 2988*b91*b412 + 12616*b91*b413 + 2988*b91*b414 + 9462*b91*b415 + 5976*
    b91*b416 + 10126*b91*b417 + 5976*b91*b418 + 3486*b91*b419 + 11786*b91*b420
     + 2236*b91*b422 + 7826*b91*b423 + 946*b91*b424 + 3010*b91*b425 + 7052*b91*
    b426 + 2236*b91*b427 + 5934*b91*b428 + 4816*b91*b429 + 7396*b91*b430 + 3870
    *b91*b431 + 7826*b91*b432 + 5074*b91*b433 + 1548*b91*b434 + 6536*b91*b435
     + 1548*b91*b436 + 4902*b91*b437 + 3096*b91*b438 + 5246*b91*b439 + 3096*b91
    *b440 + 1806*b91*b441 + 6106*b91*b442 + 1352*b91*b444 + 4732*b91*b445 + 572
    *b91*b446 + 1820*b91*b447 + 4264*b91*b448 + 1352*b91*b449 + 3588*b91*b450
     + 2912*b91*b451 + 4472*b91*b452 + 2340*b91*b453 + 4732*b91*b454 + 3068*b91
    *b455 + 936*b91*b456 + 3952*b91*b457 + 936*b91*b458 + 2964*b91*b459 + 1872*
    b91*b460 + 3172*b91*b461 + 1872*b91*b462 + 1092*b91*b463 + 3692*b91*b464 + 
    4212*b91*b466 + 14742*b91*b467 + 1782*b91*b468 + 5670*b91*b469 + 13284*b91*
    b470 + 4212*b91*b471 + 11178*b91*b472 + 9072*b91*b473 + 13932*b91*b474 + 
    7290*b91*b475 + 14742*b91*b476 + 9558*b91*b477 + 2916*b91*b478 + 12312*b91*
    b479 + 2916*b91*b480 + 9234*b91*b481 + 5832*b91*b482 + 9882*b91*b483 + 5832
    *b91*b484 + 3402*b91*b485 + 11502*b91*b486 + 2028*b91*b488 + 7098*b91*b489
     + 858*b91*b490 + 2730*b91*b491 + 6396*b91*b492 + 2028*b91*b493 + 5382*b91*
    b494 + 4368*b91*b495 + 6708*b91*b496 + 3510*b91*b497 + 7098*b91*b498 + 4602
    *b91*b499 + 1404*b91*b500 + 5928*b91*b501 + 1404*b91*b502 + 4446*b91*b503
     + 2808*b91*b504 + 4758*b91*b505 + 2808*b91*b506 + 1638*b91*b507 + 5538*b91
    *b508 + 3432*b91*b510 + 12012*b91*b511 + 1452*b91*b512 + 4620*b91*b513 + 
    10824*b91*b514 + 3432*b91*b515 + 9108*b91*b516 + 7392*b91*b517 + 11352*b91*
    b518 + 5940*b91*b519 + 12012*b91*b520 + 7788*b91*b521 + 2376*b91*b522 + 
    10032*b91*b523 + 2376*b91*b524 + 7524*b91*b525 + 4752*b91*b526 + 8052*b91*
    b527 + 4752*b91*b528 + 2772*b91*b529 + 9372*b91*b530 + 2268*b91*b531 + 4212
    *b91*b532 + 1188*b91*b533 + 1134*b91*b534 + 2106*b91*b535 + 594*b91*b536 + 
    504*b91*b537 + 936*b91*b538 + 264*b91*b539 + 42*b91*b543 + 78*b91*b544 + 22
    *b91*b545 + 1848*b91*b546 + 3432*b91*b547 + 968*b91*b548 + 1344*b91*b549 + 
    2496*b91*b550 + 704*b91*b551 + 126*b91*b552 + 234*b91*b553 + 66*b91*b554 + 
    3024*b91*b555 + 5616*b91*b556 + 1584*b91*b557 + 4158*b91*b558 + 7722*b91*
    b559 + 2178*b91*b560 + 1428*b91*b561 + 2652*b91*b562 + 748*b91*b563 + 1890*
    b91*b564 + 3510*b91*b565 + 990*b91*b566 + 756*b91*b567 + 1404*b91*b568 + 
    396*b91*b569 + 4032*b91*b570 + 7488*b91*b571 + 2112*b91*b572 + 3444*b91*
    b573 + 6396*b91*b574 + 1804*b91*b575 + 3318*b91*b576 + 6162*b91*b577 + 1738
    *b91*b578 + 3150*b91*b579 + 5850*b91*b580 + 1650*b91*b581 + 3486*b91*b582
     + 6474*b91*b583 + 1826*b91*b584 + 1806*b91*b585 + 3354*b91*b586 + 946*b91*
    b587 + 1092*b91*b588 + 2028*b91*b589 + 572*b91*b590 + 3402*b91*b591 + 6318*
    b91*b592 + 1782*b91*b593 + 1638*b91*b594 + 3042*b91*b595 + 858*b91*b596 + 
    2772*b91*b597 + 5148*b91*b598 + 1452*b91*b599 + 5044*b91*b600 + 17654*b91*
    b601 + 2134*b91*b602 + 6790*b91*b603 + 15908*b91*b604 + 5044*b91*b605 + 
    13386*b91*b606 + 10864*b91*b607 + 16684*b91*b608 + 8730*b91*b609 + 17654*
    b91*b610 + 11446*b91*b611 + 3492*b91*b612 + 14744*b91*b613 + 7566*b91*b614
     + 3492*b91*b615 + 11058*b91*b616 + 6984*b91*b617 + 11834*b91*b618 + 6984*
    b91*b619 + 4074*b91*b620 + 13774*b91*b621 + 2134*b91*b622 + 1470*b91*b624
     + 2730*b91*b625 + 770*b91*b626 + 52*b92*b113 + 58*b92*b115 + 164*b92*b116
     + 164*b92*b117 + 12*b92*b118 + 142*b92*b119 + 16*b92*b120 + 154*b92*b121
     + 148*b92*b122 + 60*b92*b123 + 178*b92*b124 + 152*b92*b125 + 152*b92*b126
     + 80*b92*b127 + 112*b92*b128 + 2*b92*b129 + 100*b92*b130 + 8*b92*b131 + 72
    *b92*b132 + 54*b92*b133 + 170*b92*b134 + 2288*b92*b135 + 2552*b92*b137 + 
    7216*b92*b138 + 7216*b92*b139 + 528*b92*b140 + 6248*b92*b141 + 704*b92*b142
     + 6776*b92*b143 + 6512*b92*b144 + 2640*b92*b145 + 7832*b92*b146 + 6688*b92
    *b147 + 6688*b92*b148 + 3520*b92*b149 + 4928*b92*b150 + 88*b92*b151 + 4400*
    b92*b152 + 352*b92*b153 + 3168*b92*b154 + 2376*b92*b155 + 7480*b92*b156 + 
    1664*b92*b157 + 1856*b92*b159 + 5248*b92*b160 + 5248*b92*b161 + 384*b92*
    b162 + 4544*b92*b163 + 512*b92*b164 + 4928*b92*b165 + 4736*b92*b166 + 1920*
    b92*b167 + 5696*b92*b168 + 4864*b92*b169 + 4864*b92*b170 + 2560*b92*b171 + 
    3584*b92*b172 + 64*b92*b173 + 3200*b92*b174 + 256*b92*b175 + 2304*b92*b176
     + 1728*b92*b177 + 5440*b92*b178 + 156*b92*b179 + 174*b92*b181 + 492*b92*
    b182 + 492*b92*b183 + 36*b92*b184 + 426*b92*b185 + 48*b92*b186 + 462*b92*
    b187 + 444*b92*b188 + 180*b92*b189 + 534*b92*b190 + 456*b92*b191 + 456*b92*
    b192 + 240*b92*b193 + 336*b92*b194 + 6*b92*b195 + 300*b92*b196 + 24*b92*
    b197 + 216*b92*b198 + 162*b92*b199 + 510*b92*b200 + 3744*b92*b201 + 4176*
    b92*b203 + 11808*b92*b204 + 11808*b92*b205 + 864*b92*b206 + 10224*b92*b207
     + 1152*b92*b208 + 11088*b92*b209 + 10656*b92*b210 + 4320*b92*b211 + 12816*
    b92*b212 + 10944*b92*b213 + 10944*b92*b214 + 5760*b92*b215 + 8064*b92*b216
     + 144*b92*b217 + 7200*b92*b218 + 576*b92*b219 + 5184*b92*b220 + 3888*b92*
    b221 + 12240*b92*b222 + 5148*b92*b223 + 5742*b92*b225 + 16236*b92*b226 + 
    16236*b92*b227 + 1188*b92*b228 + 14058*b92*b229 + 1584*b92*b230 + 15246*b92
    *b231 + 14652*b92*b232 + 5940*b92*b233 + 17622*b92*b234 + 15048*b92*b235 + 
    15048*b92*b236 + 7920*b92*b237 + 11088*b92*b238 + 198*b92*b239 + 9900*b92*
    b240 + 792*b92*b241 + 7128*b92*b242 + 5346*b92*b243 + 16830*b92*b244 + 1768
    *b92*b245 + 1972*b92*b247 + 5576*b92*b248 + 5576*b92*b249 + 408*b92*b250 + 
    4828*b92*b251 + 544*b92*b252 + 5236*b92*b253 + 5032*b92*b254 + 2040*b92*
    b255 + 6052*b92*b256 + 5168*b92*b257 + 5168*b92*b258 + 2720*b92*b259 + 3808
    *b92*b260 + 68*b92*b261 + 3400*b92*b262 + 272*b92*b263 + 2448*b92*b264 + 
    1836*b92*b265 + 5780*b92*b266 + 2340*b92*b267 + 2610*b92*b269 + 7380*b92*
    b270 + 7380*b92*b271 + 540*b92*b272 + 6390*b92*b273 + 720*b92*b274 + 6930*
    b92*b275 + 6660*b92*b276 + 2700*b92*b277 + 8010*b92*b278 + 6840*b92*b279 + 
    6840*b92*b280 + 3600*b92*b281 + 5040*b92*b282 + 90*b92*b283 + 4500*b92*b284
     + 360*b92*b285 + 3240*b92*b286 + 2430*b92*b287 + 7650*b92*b288 + 936*b92*
    b289 + 1044*b92*b291 + 2952*b92*b292 + 2952*b92*b293 + 216*b92*b294 + 2556*
    b92*b295 + 288*b92*b296 + 2772*b92*b297 + 2664*b92*b298 + 1080*b92*b299 + 
    3204*b92*b300 + 2736*b92*b301 + 2736*b92*b302 + 1440*b92*b303 + 2016*b92*
    b304 + 36*b92*b305 + 1800*b92*b306 + 144*b92*b307 + 1296*b92*b308 + 972*b92
    *b309 + 3060*b92*b310 + 4992*b92*b311 + 5568*b92*b313 + 15744*b92*b314 + 
    15744*b92*b315 + 1152*b92*b316 + 13632*b92*b317 + 1536*b92*b318 + 14784*b92
    *b319 + 14208*b92*b320 + 5760*b92*b321 + 17088*b92*b322 + 14592*b92*b323 + 
    14592*b92*b324 + 7680*b92*b325 + 10752*b92*b326 + 192*b92*b327 + 9600*b92*
    b328 + 768*b92*b329 + 6912*b92*b330 + 5184*b92*b331 + 16320*b92*b332 + 4264
    *b92*b333 + 4756*b92*b335 + 13448*b92*b336 + 13448*b92*b337 + 984*b92*b338
     + 11644*b92*b339 + 1312*b92*b340 + 12628*b92*b341 + 12136*b92*b342 + 4920*
    b92*b343 + 14596*b92*b344 + 12464*b92*b345 + 12464*b92*b346 + 6560*b92*b347
     + 9184*b92*b348 + 164*b92*b349 + 8200*b92*b350 + 656*b92*b351 + 5904*b92*
    b352 + 4428*b92*b353 + 13940*b92*b354 + 4108*b92*b355 + 4582*b92*b357 + 
    12956*b92*b358 + 12956*b92*b359 + 948*b92*b360 + 11218*b92*b361 + 1264*b92*
    b362 + 12166*b92*b363 + 11692*b92*b364 + 4740*b92*b365 + 14062*b92*b366 + 
    12008*b92*b367 + 12008*b92*b368 + 6320*b92*b369 + 8848*b92*b370 + 158*b92*
    b371 + 7900*b92*b372 + 632*b92*b373 + 5688*b92*b374 + 4266*b92*b375 + 13430
    *b92*b376 + 3900*b92*b377 + 4350*b92*b379 + 12300*b92*b380 + 12300*b92*b381
     + 900*b92*b382 + 10650*b92*b383 + 1200*b92*b384 + 11550*b92*b385 + 11100*
    b92*b386 + 4500*b92*b387 + 13350*b92*b388 + 11400*b92*b389 + 11400*b92*b390
     + 6000*b92*b391 + 8400*b92*b392 + 150*b92*b393 + 7500*b92*b394 + 600*b92*
    b395 + 5400*b92*b396 + 4050*b92*b397 + 12750*b92*b398 + 4316*b92*b399 + 
    4814*b92*b401 + 13612*b92*b402 + 13612*b92*b403 + 996*b92*b404 + 11786*b92*
    b405 + 1328*b92*b406 + 12782*b92*b407 + 12284*b92*b408 + 4980*b92*b409 + 
    14774*b92*b410 + 12616*b92*b411 + 12616*b92*b412 + 6640*b92*b413 + 9296*b92
    *b414 + 166*b92*b415 + 8300*b92*b416 + 664*b92*b417 + 5976*b92*b418 + 4482*
    b92*b419 + 14110*b92*b420 + 2236*b92*b421 + 2494*b92*b423 + 7052*b92*b424
     + 7052*b92*b425 + 516*b92*b426 + 6106*b92*b427 + 688*b92*b428 + 6622*b92*
    b429 + 6364*b92*b430 + 2580*b92*b431 + 7654*b92*b432 + 6536*b92*b433 + 6536
    *b92*b434 + 3440*b92*b435 + 4816*b92*b436 + 86*b92*b437 + 4300*b92*b438 + 
    344*b92*b439 + 3096*b92*b440 + 2322*b92*b441 + 7310*b92*b442 + 1352*b92*
    b443 + 1508*b92*b445 + 4264*b92*b446 + 4264*b92*b447 + 312*b92*b448 + 3692*
    b92*b449 + 416*b92*b450 + 4004*b92*b451 + 3848*b92*b452 + 1560*b92*b453 + 
    4628*b92*b454 + 3952*b92*b455 + 3952*b92*b456 + 2080*b92*b457 + 2912*b92*
    b458 + 52*b92*b459 + 2600*b92*b460 + 208*b92*b461 + 1872*b92*b462 + 1404*
    b92*b463 + 4420*b92*b464 + 4212*b92*b465 + 4698*b92*b467 + 13284*b92*b468
     + 13284*b92*b469 + 972*b92*b470 + 11502*b92*b471 + 1296*b92*b472 + 12474*
    b92*b473 + 11988*b92*b474 + 4860*b92*b475 + 14418*b92*b476 + 12312*b92*b477
     + 12312*b92*b478 + 6480*b92*b479 + 9072*b92*b480 + 162*b92*b481 + 8100*b92
    *b482 + 648*b92*b483 + 5832*b92*b484 + 4374*b92*b485 + 13770*b92*b486 + 
    2028*b92*b487 + 2262*b92*b489 + 6396*b92*b490 + 6396*b92*b491 + 468*b92*
    b492 + 5538*b92*b493 + 624*b92*b494 + 6006*b92*b495 + 5772*b92*b496 + 2340*
    b92*b497 + 6942*b92*b498 + 5928*b92*b499 + 5928*b92*b500 + 3120*b92*b501 + 
    4368*b92*b502 + 78*b92*b503 + 3900*b92*b504 + 312*b92*b505 + 2808*b92*b506
     + 2106*b92*b507 + 6630*b92*b508 + 3432*b92*b509 + 3828*b92*b511 + 10824*
    b92*b512 + 10824*b92*b513 + 792*b92*b514 + 9372*b92*b515 + 1056*b92*b516 + 
    10164*b92*b517 + 9768*b92*b518 + 3960*b92*b519 + 11748*b92*b520 + 10032*b92
    *b521 + 10032*b92*b522 + 5280*b92*b523 + 7392*b92*b524 + 132*b92*b525 + 
    6600*b92*b526 + 528*b92*b527 + 4752*b92*b528 + 3564*b92*b529 + 11220*b92*
    b530 + 10260*b92*b531 + 10044*b92*b532 + 216*b92*b533 + 5130*b92*b534 + 
    5022*b92*b535 + 108*b92*b536 + 2280*b92*b537 + 2232*b92*b538 + 48*b92*b539
     + 190*b92*b543 + 186*b92*b544 + 4*b92*b545 + 8360*b92*b546 + 8184*b92*b547
     + 176*b92*b548 + 6080*b92*b549 + 5952*b92*b550 + 128*b92*b551 + 570*b92*
    b552 + 558*b92*b553 + 12*b92*b554 + 13680*b92*b555 + 13392*b92*b556 + 288*
    b92*b557 + 18810*b92*b558 + 18414*b92*b559 + 396*b92*b560 + 6460*b92*b561
     + 6324*b92*b562 + 136*b92*b563 + 8550*b92*b564 + 8370*b92*b565 + 180*b92*
    b566 + 3420*b92*b567 + 3348*b92*b568 + 72*b92*b569 + 18240*b92*b570 + 17856
    *b92*b571 + 384*b92*b572 + 15580*b92*b573 + 15252*b92*b574 + 328*b92*b575
     + 15010*b92*b576 + 14694*b92*b577 + 316*b92*b578 + 14250*b92*b579 + 13950*
    b92*b580 + 300*b92*b581 + 15770*b92*b582 + 15438*b92*b583 + 332*b92*b584 + 
    8170*b92*b585 + 7998*b92*b586 + 172*b92*b587 + 4940*b92*b588 + 4836*b92*
    b589 + 104*b92*b590 + 15390*b92*b591 + 15066*b92*b592 + 324*b92*b593 + 7410
    *b92*b594 + 7254*b92*b595 + 156*b92*b596 + 12540*b92*b597 + 12276*b92*b598
     + 264*b92*b599 + 5626*b92*b601 + 15908*b92*b602 + 15908*b92*b603 + 1164*
    b92*b604 + 13774*b92*b605 + 1552*b92*b606 + 14938*b92*b607 + 14356*b92*b608
     + 5820*b92*b609 + 17266*b92*b610 + 14744*b92*b611 + 14744*b92*b612 + 7760*
    b92*b613 + 18042*b92*b614 + 10864*b92*b615 + 194*b92*b616 + 9700*b92*b617
     + 776*b92*b618 + 6984*b92*b619 + 5238*b92*b620 + 16490*b92*b621 + 388*b92*
    b622 + 5044*b92*b623 + 6650*b92*b624 + 6510*b92*b625 + 140*b92*b626 + 182*
    b93*b113 + 58*b93*b114 + 2*b93*b116 + 30*b93*b117 + 22*b93*b118 + 70*b93*
    b119 + 22*b93*b120 + 40*b93*b121 + 42*b93*b122 + 122*b93*b123 + 160*b93*
    b124 + 116*b93*b125 + 42*b93*b126 + 152*b93*b127 + 88*b93*b128 + 170*b93*
    b129 + 188*b93*b130 + 180*b93*b131 + 102*b93*b132 + 6*b93*b133 + 96*b93*
    b134 + 8008*b93*b135 + 2552*b93*b136 + 88*b93*b138 + 1320*b93*b139 + 968*
    b93*b140 + 3080*b93*b141 + 968*b93*b142 + 1760*b93*b143 + 1848*b93*b144 + 
    5368*b93*b145 + 7040*b93*b146 + 5104*b93*b147 + 1848*b93*b148 + 6688*b93*
    b149 + 3872*b93*b150 + 7480*b93*b151 + 8272*b93*b152 + 7920*b93*b153 + 4488
    *b93*b154 + 264*b93*b155 + 4224*b93*b156 + 5824*b93*b157 + 1856*b93*b158 + 
    64*b93*b160 + 960*b93*b161 + 704*b93*b162 + 2240*b93*b163 + 704*b93*b164 + 
    1280*b93*b165 + 1344*b93*b166 + 3904*b93*b167 + 5120*b93*b168 + 3712*b93*
    b169 + 1344*b93*b170 + 4864*b93*b171 + 2816*b93*b172 + 5440*b93*b173 + 6016
    *b93*b174 + 5760*b93*b175 + 3264*b93*b176 + 192*b93*b177 + 3072*b93*b178 + 
    546*b93*b179 + 174*b93*b180 + 6*b93*b182 + 90*b93*b183 + 66*b93*b184 + 210*
    b93*b185 + 66*b93*b186 + 120*b93*b187 + 126*b93*b188 + 366*b93*b189 + 480*
    b93*b190 + 348*b93*b191 + 126*b93*b192 + 456*b93*b193 + 264*b93*b194 + 510*
    b93*b195 + 564*b93*b196 + 540*b93*b197 + 306*b93*b198 + 18*b93*b199 + 288*
    b93*b200 + 13104*b93*b201 + 4176*b93*b202 + 144*b93*b204 + 2160*b93*b205 + 
    1584*b93*b206 + 5040*b93*b207 + 1584*b93*b208 + 2880*b93*b209 + 3024*b93*
    b210 + 8784*b93*b211 + 11520*b93*b212 + 8352*b93*b213 + 3024*b93*b214 + 
    10944*b93*b215 + 6336*b93*b216 + 12240*b93*b217 + 13536*b93*b218 + 12960*
    b93*b219 + 7344*b93*b220 + 432*b93*b221 + 6912*b93*b222 + 18018*b93*b223 + 
    5742*b93*b224 + 198*b93*b226 + 2970*b93*b227 + 2178*b93*b228 + 6930*b93*
    b229 + 2178*b93*b230 + 3960*b93*b231 + 4158*b93*b232 + 12078*b93*b233 + 
    15840*b93*b234 + 11484*b93*b235 + 4158*b93*b236 + 15048*b93*b237 + 8712*b93
    *b238 + 16830*b93*b239 + 18612*b93*b240 + 17820*b93*b241 + 10098*b93*b242
     + 594*b93*b243 + 9504*b93*b244 + 6188*b93*b245 + 1972*b93*b246 + 68*b93*
    b248 + 1020*b93*b249 + 748*b93*b250 + 2380*b93*b251 + 748*b93*b252 + 1360*
    b93*b253 + 1428*b93*b254 + 4148*b93*b255 + 5440*b93*b256 + 3944*b93*b257 + 
    1428*b93*b258 + 5168*b93*b259 + 2992*b93*b260 + 5780*b93*b261 + 6392*b93*
    b262 + 6120*b93*b263 + 3468*b93*b264 + 204*b93*b265 + 3264*b93*b266 + 8190*
    b93*b267 + 2610*b93*b268 + 90*b93*b270 + 1350*b93*b271 + 990*b93*b272 + 
    3150*b93*b273 + 990*b93*b274 + 1800*b93*b275 + 1890*b93*b276 + 5490*b93*
    b277 + 7200*b93*b278 + 5220*b93*b279 + 1890*b93*b280 + 6840*b93*b281 + 3960
    *b93*b282 + 7650*b93*b283 + 8460*b93*b284 + 8100*b93*b285 + 4590*b93*b286
     + 270*b93*b287 + 4320*b93*b288 + 3276*b93*b289 + 1044*b93*b290 + 36*b93*
    b292 + 540*b93*b293 + 396*b93*b294 + 1260*b93*b295 + 396*b93*b296 + 720*b93
    *b297 + 756*b93*b298 + 2196*b93*b299 + 2880*b93*b300 + 2088*b93*b301 + 756*
    b93*b302 + 2736*b93*b303 + 1584*b93*b304 + 3060*b93*b305 + 3384*b93*b306 + 
    3240*b93*b307 + 1836*b93*b308 + 108*b93*b309 + 1728*b93*b310 + 17472*b93*
    b311 + 5568*b93*b312 + 192*b93*b314 + 2880*b93*b315 + 2112*b93*b316 + 6720*
    b93*b317 + 2112*b93*b318 + 3840*b93*b319 + 4032*b93*b320 + 11712*b93*b321
     + 15360*b93*b322 + 11136*b93*b323 + 4032*b93*b324 + 14592*b93*b325 + 8448*
    b93*b326 + 16320*b93*b327 + 18048*b93*b328 + 17280*b93*b329 + 9792*b93*b330
     + 576*b93*b331 + 9216*b93*b332 + 14924*b93*b333 + 4756*b93*b334 + 164*b93*
    b336 + 2460*b93*b337 + 1804*b93*b338 + 5740*b93*b339 + 1804*b93*b340 + 3280
    *b93*b341 + 3444*b93*b342 + 10004*b93*b343 + 13120*b93*b344 + 9512*b93*b345
     + 3444*b93*b346 + 12464*b93*b347 + 7216*b93*b348 + 13940*b93*b349 + 15416*
    b93*b350 + 14760*b93*b351 + 8364*b93*b352 + 492*b93*b353 + 7872*b93*b354 + 
    14378*b93*b355 + 4582*b93*b356 + 158*b93*b358 + 2370*b93*b359 + 1738*b93*
    b360 + 5530*b93*b361 + 1738*b93*b362 + 3160*b93*b363 + 3318*b93*b364 + 9638
    *b93*b365 + 12640*b93*b366 + 9164*b93*b367 + 3318*b93*b368 + 12008*b93*b369
     + 6952*b93*b370 + 13430*b93*b371 + 14852*b93*b372 + 14220*b93*b373 + 8058*
    b93*b374 + 474*b93*b375 + 7584*b93*b376 + 13650*b93*b377 + 4350*b93*b378 + 
    150*b93*b380 + 2250*b93*b381 + 1650*b93*b382 + 5250*b93*b383 + 1650*b93*
    b384 + 3000*b93*b385 + 3150*b93*b386 + 9150*b93*b387 + 12000*b93*b388 + 
    8700*b93*b389 + 3150*b93*b390 + 11400*b93*b391 + 6600*b93*b392 + 12750*b93*
    b393 + 14100*b93*b394 + 13500*b93*b395 + 7650*b93*b396 + 450*b93*b397 + 
    7200*b93*b398 + 15106*b93*b399 + 4814*b93*b400 + 166*b93*b402 + 2490*b93*
    b403 + 1826*b93*b404 + 5810*b93*b405 + 1826*b93*b406 + 3320*b93*b407 + 3486
    *b93*b408 + 10126*b93*b409 + 13280*b93*b410 + 9628*b93*b411 + 3486*b93*b412
     + 12616*b93*b413 + 7304*b93*b414 + 14110*b93*b415 + 15604*b93*b416 + 14940
    *b93*b417 + 8466*b93*b418 + 498*b93*b419 + 7968*b93*b420 + 7826*b93*b421 + 
    2494*b93*b422 + 86*b93*b424 + 1290*b93*b425 + 946*b93*b426 + 3010*b93*b427
     + 946*b93*b428 + 1720*b93*b429 + 1806*b93*b430 + 5246*b93*b431 + 6880*b93*
    b432 + 4988*b93*b433 + 1806*b93*b434 + 6536*b93*b435 + 3784*b93*b436 + 7310
    *b93*b437 + 8084*b93*b438 + 7740*b93*b439 + 4386*b93*b440 + 258*b93*b441 + 
    4128*b93*b442 + 4732*b93*b443 + 1508*b93*b444 + 52*b93*b446 + 780*b93*b447
     + 572*b93*b448 + 1820*b93*b449 + 572*b93*b450 + 1040*b93*b451 + 1092*b93*
    b452 + 3172*b93*b453 + 4160*b93*b454 + 3016*b93*b455 + 1092*b93*b456 + 3952
    *b93*b457 + 2288*b93*b458 + 4420*b93*b459 + 4888*b93*b460 + 4680*b93*b461
     + 2652*b93*b462 + 156*b93*b463 + 2496*b93*b464 + 14742*b93*b465 + 4698*b93
    *b466 + 162*b93*b468 + 2430*b93*b469 + 1782*b93*b470 + 5670*b93*b471 + 1782
    *b93*b472 + 3240*b93*b473 + 3402*b93*b474 + 9882*b93*b475 + 12960*b93*b476
     + 9396*b93*b477 + 3402*b93*b478 + 12312*b93*b479 + 7128*b93*b480 + 13770*
    b93*b481 + 15228*b93*b482 + 14580*b93*b483 + 8262*b93*b484 + 486*b93*b485
     + 7776*b93*b486 + 7098*b93*b487 + 2262*b93*b488 + 78*b93*b490 + 1170*b93*
    b491 + 858*b93*b492 + 2730*b93*b493 + 858*b93*b494 + 1560*b93*b495 + 1638*
    b93*b496 + 4758*b93*b497 + 6240*b93*b498 + 4524*b93*b499 + 1638*b93*b500 + 
    5928*b93*b501 + 3432*b93*b502 + 6630*b93*b503 + 7332*b93*b504 + 7020*b93*
    b505 + 3978*b93*b506 + 234*b93*b507 + 3744*b93*b508 + 12012*b93*b509 + 3828
    *b93*b510 + 132*b93*b512 + 1980*b93*b513 + 1452*b93*b514 + 4620*b93*b515 + 
    1452*b93*b516 + 2640*b93*b517 + 2772*b93*b518 + 8052*b93*b519 + 10560*b93*
    b520 + 7656*b93*b521 + 2772*b93*b522 + 10032*b93*b523 + 5808*b93*b524 + 
    11220*b93*b525 + 12408*b93*b526 + 11880*b93*b527 + 6732*b93*b528 + 396*b93*
    b529 + 6336*b93*b530 + 8856*b93*b531 + 7776*b93*b532 + 3132*b93*b533 + 4428
    *b93*b534 + 3888*b93*b535 + 1566*b93*b536 + 1968*b93*b537 + 1728*b93*b538
     + 696*b93*b539 + 164*b93*b543 + 144*b93*b544 + 58*b93*b545 + 7216*b93*b546
     + 6336*b93*b547 + 2552*b93*b548 + 5248*b93*b549 + 4608*b93*b550 + 1856*b93
    *b551 + 492*b93*b552 + 432*b93*b553 + 174*b93*b554 + 11808*b93*b555 + 10368
    *b93*b556 + 4176*b93*b557 + 16236*b93*b558 + 14256*b93*b559 + 5742*b93*b560
     + 5576*b93*b561 + 4896*b93*b562 + 1972*b93*b563 + 7380*b93*b564 + 6480*b93
    *b565 + 2610*b93*b566 + 2952*b93*b567 + 2592*b93*b568 + 1044*b93*b569 + 
    15744*b93*b570 + 13824*b93*b571 + 5568*b93*b572 + 13448*b93*b573 + 11808*
    b93*b574 + 4756*b93*b575 + 12956*b93*b576 + 11376*b93*b577 + 4582*b93*b578
     + 12300*b93*b579 + 10800*b93*b580 + 4350*b93*b581 + 13612*b93*b582 + 11952
    *b93*b583 + 4814*b93*b584 + 7052*b93*b585 + 6192*b93*b586 + 2494*b93*b587
     + 4264*b93*b588 + 3744*b93*b589 + 1508*b93*b590 + 13284*b93*b591 + 11664*
    b93*b592 + 4698*b93*b593 + 6396*b93*b594 + 5616*b93*b595 + 2262*b93*b596 + 
    10824*b93*b597 + 9504*b93*b598 + 3828*b93*b599 + 5626*b93*b600 + 194*b93*
    b602 + 2910*b93*b603 + 2134*b93*b604 + 6790*b93*b605 + 2134*b93*b606 + 3880
    *b93*b607 + 4074*b93*b608 + 11834*b93*b609 + 15520*b93*b610 + 11252*b93*
    b611 + 4074*b93*b612 + 14744*b93*b613 + 13968*b93*b614 + 8536*b93*b615 + 
    16490*b93*b616 + 18236*b93*b617 + 17460*b93*b618 + 9894*b93*b619 + 582*b93*
    b620 + 9312*b93*b621 + 5626*b93*b622 + 17654*b93*b623 + 5740*b93*b624 + 
    5040*b93*b625 + 2030*b93*b626 + 22*b94*b113 + 164*b94*b114 + 2*b94*b115 + 
    180*b94*b117 + 132*b94*b118 + 82*b94*b119 + 30*b94*b120 + 166*b94*b121 + 
    192*b94*b122 + 148*b94*b123 + 90*b94*b124 + 130*b94*b125 + 80*b94*b126 + 
    108*b94*b127 + 28*b94*b128 + 142*b94*b129 + 154*b94*b130 + 72*b94*b131 + 
    106*b94*b132 + 74*b94*b133 + 52*b94*b134 + 968*b94*b135 + 7216*b94*b136 + 
    88*b94*b137 + 7920*b94*b139 + 5808*b94*b140 + 3608*b94*b141 + 1320*b94*b142
     + 7304*b94*b143 + 8448*b94*b144 + 6512*b94*b145 + 3960*b94*b146 + 5720*b94
    *b147 + 3520*b94*b148 + 4752*b94*b149 + 1232*b94*b150 + 6248*b94*b151 + 
    6776*b94*b152 + 3168*b94*b153 + 4664*b94*b154 + 3256*b94*b155 + 2288*b94*
    b156 + 704*b94*b157 + 5248*b94*b158 + 64*b94*b159 + 5760*b94*b161 + 4224*
    b94*b162 + 2624*b94*b163 + 960*b94*b164 + 5312*b94*b165 + 6144*b94*b166 + 
    4736*b94*b167 + 2880*b94*b168 + 4160*b94*b169 + 2560*b94*b170 + 3456*b94*
    b171 + 896*b94*b172 + 4544*b94*b173 + 4928*b94*b174 + 2304*b94*b175 + 3392*
    b94*b176 + 2368*b94*b177 + 1664*b94*b178 + 66*b94*b179 + 492*b94*b180 + 6*
    b94*b181 + 540*b94*b183 + 396*b94*b184 + 246*b94*b185 + 90*b94*b186 + 498*
    b94*b187 + 576*b94*b188 + 444*b94*b189 + 270*b94*b190 + 390*b94*b191 + 240*
    b94*b192 + 324*b94*b193 + 84*b94*b194 + 426*b94*b195 + 462*b94*b196 + 216*
    b94*b197 + 318*b94*b198 + 222*b94*b199 + 156*b94*b200 + 1584*b94*b201 + 
    11808*b94*b202 + 144*b94*b203 + 12960*b94*b205 + 9504*b94*b206 + 5904*b94*
    b207 + 2160*b94*b208 + 11952*b94*b209 + 13824*b94*b210 + 10656*b94*b211 + 
    6480*b94*b212 + 9360*b94*b213 + 5760*b94*b214 + 7776*b94*b215 + 2016*b94*
    b216 + 10224*b94*b217 + 11088*b94*b218 + 5184*b94*b219 + 7632*b94*b220 + 
    5328*b94*b221 + 3744*b94*b222 + 2178*b94*b223 + 16236*b94*b224 + 198*b94*
    b225 + 17820*b94*b227 + 13068*b94*b228 + 8118*b94*b229 + 2970*b94*b230 + 
    16434*b94*b231 + 19008*b94*b232 + 14652*b94*b233 + 8910*b94*b234 + 12870*
    b94*b235 + 7920*b94*b236 + 10692*b94*b237 + 2772*b94*b238 + 14058*b94*b239
     + 15246*b94*b240 + 7128*b94*b241 + 10494*b94*b242 + 7326*b94*b243 + 5148*
    b94*b244 + 748*b94*b245 + 5576*b94*b246 + 68*b94*b247 + 6120*b94*b249 + 
    4488*b94*b250 + 2788*b94*b251 + 1020*b94*b252 + 5644*b94*b253 + 6528*b94*
    b254 + 5032*b94*b255 + 3060*b94*b256 + 4420*b94*b257 + 2720*b94*b258 + 3672
    *b94*b259 + 952*b94*b260 + 4828*b94*b261 + 5236*b94*b262 + 2448*b94*b263 + 
    3604*b94*b264 + 2516*b94*b265 + 1768*b94*b266 + 990*b94*b267 + 7380*b94*
    b268 + 90*b94*b269 + 8100*b94*b271 + 5940*b94*b272 + 3690*b94*b273 + 1350*
    b94*b274 + 7470*b94*b275 + 8640*b94*b276 + 6660*b94*b277 + 4050*b94*b278 + 
    5850*b94*b279 + 3600*b94*b280 + 4860*b94*b281 + 1260*b94*b282 + 6390*b94*
    b283 + 6930*b94*b284 + 3240*b94*b285 + 4770*b94*b286 + 3330*b94*b287 + 2340
    *b94*b288 + 396*b94*b289 + 2952*b94*b290 + 36*b94*b291 + 3240*b94*b293 + 
    2376*b94*b294 + 1476*b94*b295 + 540*b94*b296 + 2988*b94*b297 + 3456*b94*
    b298 + 2664*b94*b299 + 1620*b94*b300 + 2340*b94*b301 + 1440*b94*b302 + 1944
    *b94*b303 + 504*b94*b304 + 2556*b94*b305 + 2772*b94*b306 + 1296*b94*b307 + 
    1908*b94*b308 + 1332*b94*b309 + 936*b94*b310 + 2112*b94*b311 + 15744*b94*
    b312 + 192*b94*b313 + 17280*b94*b315 + 12672*b94*b316 + 7872*b94*b317 + 
    2880*b94*b318 + 15936*b94*b319 + 18432*b94*b320 + 14208*b94*b321 + 8640*b94
    *b322 + 12480*b94*b323 + 7680*b94*b324 + 10368*b94*b325 + 2688*b94*b326 + 
    13632*b94*b327 + 14784*b94*b328 + 6912*b94*b329 + 10176*b94*b330 + 7104*b94
    *b331 + 4992*b94*b332 + 1804*b94*b333 + 13448*b94*b334 + 164*b94*b335 + 
    14760*b94*b337 + 10824*b94*b338 + 6724*b94*b339 + 2460*b94*b340 + 13612*b94
    *b341 + 15744*b94*b342 + 12136*b94*b343 + 7380*b94*b344 + 10660*b94*b345 + 
    6560*b94*b346 + 8856*b94*b347 + 2296*b94*b348 + 11644*b94*b349 + 12628*b94*
    b350 + 5904*b94*b351 + 8692*b94*b352 + 6068*b94*b353 + 4264*b94*b354 + 1738
    *b94*b355 + 12956*b94*b356 + 158*b94*b357 + 14220*b94*b359 + 10428*b94*b360
     + 6478*b94*b361 + 2370*b94*b362 + 13114*b94*b363 + 15168*b94*b364 + 11692*
    b94*b365 + 7110*b94*b366 + 10270*b94*b367 + 6320*b94*b368 + 8532*b94*b369
     + 2212*b94*b370 + 11218*b94*b371 + 12166*b94*b372 + 5688*b94*b373 + 8374*
    b94*b374 + 5846*b94*b375 + 4108*b94*b376 + 1650*b94*b377 + 12300*b94*b378
     + 150*b94*b379 + 13500*b94*b381 + 9900*b94*b382 + 6150*b94*b383 + 2250*b94
    *b384 + 12450*b94*b385 + 14400*b94*b386 + 11100*b94*b387 + 6750*b94*b388 + 
    9750*b94*b389 + 6000*b94*b390 + 8100*b94*b391 + 2100*b94*b392 + 10650*b94*
    b393 + 11550*b94*b394 + 5400*b94*b395 + 7950*b94*b396 + 5550*b94*b397 + 
    3900*b94*b398 + 1826*b94*b399 + 13612*b94*b400 + 166*b94*b401 + 14940*b94*
    b403 + 10956*b94*b404 + 6806*b94*b405 + 2490*b94*b406 + 13778*b94*b407 + 
    15936*b94*b408 + 12284*b94*b409 + 7470*b94*b410 + 10790*b94*b411 + 6640*b94
    *b412 + 8964*b94*b413 + 2324*b94*b414 + 11786*b94*b415 + 12782*b94*b416 + 
    5976*b94*b417 + 8798*b94*b418 + 6142*b94*b419 + 4316*b94*b420 + 946*b94*
    b421 + 7052*b94*b422 + 86*b94*b423 + 7740*b94*b425 + 5676*b94*b426 + 3526*
    b94*b427 + 1290*b94*b428 + 7138*b94*b429 + 8256*b94*b430 + 6364*b94*b431 + 
    3870*b94*b432 + 5590*b94*b433 + 3440*b94*b434 + 4644*b94*b435 + 1204*b94*
    b436 + 6106*b94*b437 + 6622*b94*b438 + 3096*b94*b439 + 4558*b94*b440 + 3182
    *b94*b441 + 2236*b94*b442 + 572*b94*b443 + 4264*b94*b444 + 52*b94*b445 + 
    4680*b94*b447 + 3432*b94*b448 + 2132*b94*b449 + 780*b94*b450 + 4316*b94*
    b451 + 4992*b94*b452 + 3848*b94*b453 + 2340*b94*b454 + 3380*b94*b455 + 2080
    *b94*b456 + 2808*b94*b457 + 728*b94*b458 + 3692*b94*b459 + 4004*b94*b460 + 
    1872*b94*b461 + 2756*b94*b462 + 1924*b94*b463 + 1352*b94*b464 + 1782*b94*
    b465 + 13284*b94*b466 + 162*b94*b467 + 14580*b94*b469 + 10692*b94*b470 + 
    6642*b94*b471 + 2430*b94*b472 + 13446*b94*b473 + 15552*b94*b474 + 11988*b94
    *b475 + 7290*b94*b476 + 10530*b94*b477 + 6480*b94*b478 + 8748*b94*b479 + 
    2268*b94*b480 + 11502*b94*b481 + 12474*b94*b482 + 5832*b94*b483 + 8586*b94*
    b484 + 5994*b94*b485 + 4212*b94*b486 + 858*b94*b487 + 6396*b94*b488 + 78*
    b94*b489 + 7020*b94*b491 + 5148*b94*b492 + 3198*b94*b493 + 1170*b94*b494 + 
    6474*b94*b495 + 7488*b94*b496 + 5772*b94*b497 + 3510*b94*b498 + 5070*b94*
    b499 + 3120*b94*b500 + 4212*b94*b501 + 1092*b94*b502 + 5538*b94*b503 + 6006
    *b94*b504 + 2808*b94*b505 + 4134*b94*b506 + 2886*b94*b507 + 2028*b94*b508
     + 1452*b94*b509 + 10824*b94*b510 + 132*b94*b511 + 11880*b94*b513 + 8712*
    b94*b514 + 5412*b94*b515 + 1980*b94*b516 + 10956*b94*b517 + 12672*b94*b518
     + 9768*b94*b519 + 5940*b94*b520 + 8580*b94*b521 + 5280*b94*b522 + 7128*b94
    *b523 + 1848*b94*b524 + 9372*b94*b525 + 10164*b94*b526 + 4752*b94*b527 + 
    6996*b94*b528 + 4884*b94*b529 + 3432*b94*b530 + 6048*b94*b531 + 8964*b94*
    b532 + 9396*b94*b533 + 3024*b94*b534 + 4482*b94*b535 + 4698*b94*b536 + 1344
    *b94*b537 + 1992*b94*b538 + 2088*b94*b539 + 112*b94*b543 + 166*b94*b544 + 
    174*b94*b545 + 4928*b94*b546 + 7304*b94*b547 + 7656*b94*b548 + 3584*b94*
    b549 + 5312*b94*b550 + 5568*b94*b551 + 336*b94*b552 + 498*b94*b553 + 522*
    b94*b554 + 8064*b94*b555 + 11952*b94*b556 + 12528*b94*b557 + 11088*b94*b558
     + 16434*b94*b559 + 17226*b94*b560 + 3808*b94*b561 + 5644*b94*b562 + 5916*
    b94*b563 + 5040*b94*b564 + 7470*b94*b565 + 7830*b94*b566 + 2016*b94*b567 + 
    2988*b94*b568 + 3132*b94*b569 + 10752*b94*b570 + 15936*b94*b571 + 16704*b94
    *b572 + 9184*b94*b573 + 13612*b94*b574 + 14268*b94*b575 + 8848*b94*b576 + 
    13114*b94*b577 + 13746*b94*b578 + 8400*b94*b579 + 12450*b94*b580 + 13050*
    b94*b581 + 9296*b94*b582 + 13778*b94*b583 + 14442*b94*b584 + 4816*b94*b585
     + 7138*b94*b586 + 7482*b94*b587 + 2912*b94*b588 + 4316*b94*b589 + 4524*b94
    *b590 + 9072*b94*b591 + 13446*b94*b592 + 14094*b94*b593 + 4368*b94*b594 + 
    6474*b94*b595 + 6786*b94*b596 + 7392*b94*b597 + 10956*b94*b598 + 11484*b94*
    b599 + 15908*b94*b600 + 194*b94*b601 + 17460*b94*b603 + 12804*b94*b604 + 
    7954*b94*b605 + 2910*b94*b606 + 16102*b94*b607 + 18624*b94*b608 + 14356*b94
    *b609 + 8730*b94*b610 + 12610*b94*b611 + 7760*b94*b612 + 10476*b94*b613 + 
    16102*b94*b614 + 2716*b94*b615 + 13774*b94*b616 + 14938*b94*b617 + 6984*b94
    *b618 + 10282*b94*b619 + 7178*b94*b620 + 5044*b94*b621 + 16878*b94*b622 + 
    2134*b94*b623 + 3920*b94*b624 + 5810*b94*b625 + 6090*b94*b626 + 70*b95*b113
     + 164*b95*b114 + 30*b95*b115 + 180*b95*b116 + 152*b95*b118 + 182*b95*b119
     + 26*b95*b120 + 58*b95*b121 + 22*b95*b122 + 154*b95*b123 + 64*b95*b124 + 
    174*b95*b125 + 134*b95*b126 + 188*b95*b127 + 4*b95*b128 + 20*b95*b129 + 198
    *b95*b130 + 112*b95*b131 + 140*b95*b132 + 198*b95*b133 + 120*b95*b134 + 
    3080*b95*b135 + 7216*b95*b136 + 1320*b95*b137 + 7920*b95*b138 + 6688*b95*
    b140 + 8008*b95*b141 + 1144*b95*b142 + 2552*b95*b143 + 968*b95*b144 + 6776*
    b95*b145 + 2816*b95*b146 + 7656*b95*b147 + 5896*b95*b148 + 8272*b95*b149 + 
    176*b95*b150 + 880*b95*b151 + 8712*b95*b152 + 4928*b95*b153 + 6160*b95*b154
     + 8712*b95*b155 + 5280*b95*b156 + 2240*b95*b157 + 5248*b95*b158 + 960*b95*
    b159 + 5760*b95*b160 + 4864*b95*b162 + 5824*b95*b163 + 832*b95*b164 + 1856*
    b95*b165 + 704*b95*b166 + 4928*b95*b167 + 2048*b95*b168 + 5568*b95*b169 + 
    4288*b95*b170 + 6016*b95*b171 + 128*b95*b172 + 640*b95*b173 + 6336*b95*b174
     + 3584*b95*b175 + 4480*b95*b176 + 6336*b95*b177 + 3840*b95*b178 + 210*b95*
    b179 + 492*b95*b180 + 90*b95*b181 + 540*b95*b182 + 456*b95*b184 + 546*b95*
    b185 + 78*b95*b186 + 174*b95*b187 + 66*b95*b188 + 462*b95*b189 + 192*b95*
    b190 + 522*b95*b191 + 402*b95*b192 + 564*b95*b193 + 12*b95*b194 + 60*b95*
    b195 + 594*b95*b196 + 336*b95*b197 + 420*b95*b198 + 594*b95*b199 + 360*b95*
    b200 + 5040*b95*b201 + 11808*b95*b202 + 2160*b95*b203 + 12960*b95*b204 + 
    10944*b95*b206 + 13104*b95*b207 + 1872*b95*b208 + 4176*b95*b209 + 1584*b95*
    b210 + 11088*b95*b211 + 4608*b95*b212 + 12528*b95*b213 + 9648*b95*b214 + 
    13536*b95*b215 + 288*b95*b216 + 1440*b95*b217 + 14256*b95*b218 + 8064*b95*
    b219 + 10080*b95*b220 + 14256*b95*b221 + 8640*b95*b222 + 6930*b95*b223 + 
    16236*b95*b224 + 2970*b95*b225 + 17820*b95*b226 + 15048*b95*b228 + 18018*
    b95*b229 + 2574*b95*b230 + 5742*b95*b231 + 2178*b95*b232 + 15246*b95*b233
     + 6336*b95*b234 + 17226*b95*b235 + 13266*b95*b236 + 18612*b95*b237 + 396*
    b95*b238 + 1980*b95*b239 + 19602*b95*b240 + 11088*b95*b241 + 13860*b95*b242
     + 19602*b95*b243 + 11880*b95*b244 + 2380*b95*b245 + 5576*b95*b246 + 1020*
    b95*b247 + 6120*b95*b248 + 5168*b95*b250 + 6188*b95*b251 + 884*b95*b252 + 
    1972*b95*b253 + 748*b95*b254 + 5236*b95*b255 + 2176*b95*b256 + 5916*b95*
    b257 + 4556*b95*b258 + 6392*b95*b259 + 136*b95*b260 + 680*b95*b261 + 6732*
    b95*b262 + 3808*b95*b263 + 4760*b95*b264 + 6732*b95*b265 + 4080*b95*b266 + 
    3150*b95*b267 + 7380*b95*b268 + 1350*b95*b269 + 8100*b95*b270 + 6840*b95*
    b272 + 8190*b95*b273 + 1170*b95*b274 + 2610*b95*b275 + 990*b95*b276 + 6930*
    b95*b277 + 2880*b95*b278 + 7830*b95*b279 + 6030*b95*b280 + 8460*b95*b281 + 
    180*b95*b282 + 900*b95*b283 + 8910*b95*b284 + 5040*b95*b285 + 6300*b95*b286
     + 8910*b95*b287 + 5400*b95*b288 + 1260*b95*b289 + 2952*b95*b290 + 540*b95*
    b291 + 3240*b95*b292 + 2736*b95*b294 + 3276*b95*b295 + 468*b95*b296 + 1044*
    b95*b297 + 396*b95*b298 + 2772*b95*b299 + 1152*b95*b300 + 3132*b95*b301 + 
    2412*b95*b302 + 3384*b95*b303 + 72*b95*b304 + 360*b95*b305 + 3564*b95*b306
     + 2016*b95*b307 + 2520*b95*b308 + 3564*b95*b309 + 2160*b95*b310 + 6720*b95
    *b311 + 15744*b95*b312 + 2880*b95*b313 + 17280*b95*b314 + 14592*b95*b316 + 
    17472*b95*b317 + 2496*b95*b318 + 5568*b95*b319 + 2112*b95*b320 + 14784*b95*
    b321 + 6144*b95*b322 + 16704*b95*b323 + 12864*b95*b324 + 18048*b95*b325 + 
    384*b95*b326 + 1920*b95*b327 + 19008*b95*b328 + 10752*b95*b329 + 13440*b95*
    b330 + 19008*b95*b331 + 11520*b95*b332 + 5740*b95*b333 + 13448*b95*b334 + 
    2460*b95*b335 + 14760*b95*b336 + 12464*b95*b338 + 14924*b95*b339 + 2132*b95
    *b340 + 4756*b95*b341 + 1804*b95*b342 + 12628*b95*b343 + 5248*b95*b344 + 
    14268*b95*b345 + 10988*b95*b346 + 15416*b95*b347 + 328*b95*b348 + 1640*b95*
    b349 + 16236*b95*b350 + 9184*b95*b351 + 11480*b95*b352 + 16236*b95*b353 + 
    9840*b95*b354 + 5530*b95*b355 + 12956*b95*b356 + 2370*b95*b357 + 14220*b95*
    b358 + 12008*b95*b360 + 14378*b95*b361 + 2054*b95*b362 + 4582*b95*b363 + 
    1738*b95*b364 + 12166*b95*b365 + 5056*b95*b366 + 13746*b95*b367 + 10586*b95
    *b368 + 14852*b95*b369 + 316*b95*b370 + 1580*b95*b371 + 15642*b95*b372 + 
    8848*b95*b373 + 11060*b95*b374 + 15642*b95*b375 + 9480*b95*b376 + 5250*b95*
    b377 + 12300*b95*b378 + 2250*b95*b379 + 13500*b95*b380 + 11400*b95*b382 + 
    13650*b95*b383 + 1950*b95*b384 + 4350*b95*b385 + 1650*b95*b386 + 11550*b95*
    b387 + 4800*b95*b388 + 13050*b95*b389 + 10050*b95*b390 + 14100*b95*b391 + 
    300*b95*b392 + 1500*b95*b393 + 14850*b95*b394 + 8400*b95*b395 + 10500*b95*
    b396 + 14850*b95*b397 + 9000*b95*b398 + 5810*b95*b399 + 13612*b95*b400 + 
    2490*b95*b401 + 14940*b95*b402 + 12616*b95*b404 + 15106*b95*b405 + 2158*b95
    *b406 + 4814*b95*b407 + 1826*b95*b408 + 12782*b95*b409 + 5312*b95*b410 + 
    14442*b95*b411 + 11122*b95*b412 + 15604*b95*b413 + 332*b95*b414 + 1660*b95*
    b415 + 16434*b95*b416 + 9296*b95*b417 + 11620*b95*b418 + 16434*b95*b419 + 
    9960*b95*b420 + 3010*b95*b421 + 7052*b95*b422 + 1290*b95*b423 + 7740*b95*
    b424 + 6536*b95*b426 + 7826*b95*b427 + 1118*b95*b428 + 2494*b95*b429 + 946*
    b95*b430 + 6622*b95*b431 + 2752*b95*b432 + 7482*b95*b433 + 5762*b95*b434 + 
    8084*b95*b435 + 172*b95*b436 + 860*b95*b437 + 8514*b95*b438 + 4816*b95*b439
     + 6020*b95*b440 + 8514*b95*b441 + 5160*b95*b442 + 1820*b95*b443 + 4264*b95
    *b444 + 780*b95*b445 + 4680*b95*b446 + 3952*b95*b448 + 4732*b95*b449 + 676*
    b95*b450 + 1508*b95*b451 + 572*b95*b452 + 4004*b95*b453 + 1664*b95*b454 + 
    4524*b95*b455 + 3484*b95*b456 + 4888*b95*b457 + 104*b95*b458 + 520*b95*b459
     + 5148*b95*b460 + 2912*b95*b461 + 3640*b95*b462 + 5148*b95*b463 + 3120*b95
    *b464 + 5670*b95*b465 + 13284*b95*b466 + 2430*b95*b467 + 14580*b95*b468 + 
    12312*b95*b470 + 14742*b95*b471 + 2106*b95*b472 + 4698*b95*b473 + 1782*b95*
    b474 + 12474*b95*b475 + 5184*b95*b476 + 14094*b95*b477 + 10854*b95*b478 + 
    15228*b95*b479 + 324*b95*b480 + 1620*b95*b481 + 16038*b95*b482 + 9072*b95*
    b483 + 11340*b95*b484 + 16038*b95*b485 + 9720*b95*b486 + 2730*b95*b487 + 
    6396*b95*b488 + 1170*b95*b489 + 7020*b95*b490 + 5928*b95*b492 + 7098*b95*
    b493 + 1014*b95*b494 + 2262*b95*b495 + 858*b95*b496 + 6006*b95*b497 + 2496*
    b95*b498 + 6786*b95*b499 + 5226*b95*b500 + 7332*b95*b501 + 156*b95*b502 + 
    780*b95*b503 + 7722*b95*b504 + 4368*b95*b505 + 5460*b95*b506 + 7722*b95*
    b507 + 4680*b95*b508 + 4620*b95*b509 + 10824*b95*b510 + 1980*b95*b511 + 
    11880*b95*b512 + 10032*b95*b514 + 12012*b95*b515 + 1716*b95*b516 + 3828*b95
    *b517 + 1452*b95*b518 + 10164*b95*b519 + 4224*b95*b520 + 11484*b95*b521 + 
    8844*b95*b522 + 12408*b95*b523 + 264*b95*b524 + 1320*b95*b525 + 13068*b95*
    b526 + 7392*b95*b527 + 9240*b95*b528 + 13068*b95*b529 + 7920*b95*b530 + 
    4428*b95*b531 + 8532*b95*b532 + 432*b95*b533 + 2214*b95*b534 + 4266*b95*
    b535 + 216*b95*b536 + 984*b95*b537 + 1896*b95*b538 + 96*b95*b539 + 82*b95*
    b543 + 158*b95*b544 + 8*b95*b545 + 3608*b95*b546 + 6952*b95*b547 + 352*b95*
    b548 + 2624*b95*b549 + 5056*b95*b550 + 256*b95*b551 + 246*b95*b552 + 474*
    b95*b553 + 24*b95*b554 + 5904*b95*b555 + 11376*b95*b556 + 576*b95*b557 + 
    8118*b95*b558 + 15642*b95*b559 + 792*b95*b560 + 2788*b95*b561 + 5372*b95*
    b562 + 272*b95*b563 + 3690*b95*b564 + 7110*b95*b565 + 360*b95*b566 + 1476*
    b95*b567 + 2844*b95*b568 + 144*b95*b569 + 7872*b95*b570 + 15168*b95*b571 + 
    768*b95*b572 + 6724*b95*b573 + 12956*b95*b574 + 656*b95*b575 + 6478*b95*
    b576 + 12482*b95*b577 + 632*b95*b578 + 6150*b95*b579 + 11850*b95*b580 + 600
    *b95*b581 + 6806*b95*b582 + 13114*b95*b583 + 664*b95*b584 + 3526*b95*b585
     + 6794*b95*b586 + 344*b95*b587 + 2132*b95*b588 + 4108*b95*b589 + 208*b95*
    b590 + 6642*b95*b591 + 12798*b95*b592 + 648*b95*b593 + 3198*b95*b594 + 6162
    *b95*b595 + 312*b95*b596 + 5412*b95*b597 + 10428*b95*b598 + 528*b95*b599 + 
    15908*b95*b600 + 2910*b95*b601 + 17460*b95*b602 + 14744*b95*b604 + 17654*
    b95*b605 + 2522*b95*b606 + 5626*b95*b607 + 2134*b95*b608 + 14938*b95*b609
     + 6208*b95*b610 + 16878*b95*b611 + 12998*b95*b612 + 18236*b95*b613 + 15326
    *b95*b614 + 388*b95*b615 + 1940*b95*b616 + 19206*b95*b617 + 10864*b95*b618
     + 13580*b95*b619 + 19206*b95*b620 + 11640*b95*b621 + 776*b95*b622 + 6790*
    b95*b623 + 2870*b95*b624 + 5530*b95*b625 + 280*b95*b626 + 164*b96*b113 + 12
    *b96*b114 + 22*b96*b115 + 132*b96*b116 + 152*b96*b117 + 112*b96*b119 + 4*
    b96*b120 + 120*b96*b121 + 144*b96*b122 + 148*b96*b123 + 92*b96*b124 + 26*
    b96*b125 + 40*b96*b126 + 172*b96*b127 + 154*b96*b128 + 30*b96*b129 + 178*
    b96*b130 + 96*b96*b131 + 28*b96*b132 + 178*b96*b133 + 88*b96*b134 + 7216*
    b96*b135 + 528*b96*b136 + 968*b96*b137 + 5808*b96*b138 + 6688*b96*b139 + 
    4928*b96*b141 + 176*b96*b142 + 5280*b96*b143 + 6336*b96*b144 + 6512*b96*
    b145 + 4048*b96*b146 + 1144*b96*b147 + 1760*b96*b148 + 7568*b96*b149 + 6776
    *b96*b150 + 1320*b96*b151 + 7832*b96*b152 + 4224*b96*b153 + 1232*b96*b154
     + 7832*b96*b155 + 3872*b96*b156 + 5248*b96*b157 + 384*b96*b158 + 704*b96*
    b159 + 4224*b96*b160 + 4864*b96*b161 + 3584*b96*b163 + 128*b96*b164 + 3840*
    b96*b165 + 4608*b96*b166 + 4736*b96*b167 + 2944*b96*b168 + 832*b96*b169 + 
    1280*b96*b170 + 5504*b96*b171 + 4928*b96*b172 + 960*b96*b173 + 5696*b96*
    b174 + 3072*b96*b175 + 896*b96*b176 + 5696*b96*b177 + 2816*b96*b178 + 492*
    b96*b179 + 36*b96*b180 + 66*b96*b181 + 396*b96*b182 + 456*b96*b183 + 336*
    b96*b185 + 12*b96*b186 + 360*b96*b187 + 432*b96*b188 + 444*b96*b189 + 276*
    b96*b190 + 78*b96*b191 + 120*b96*b192 + 516*b96*b193 + 462*b96*b194 + 90*
    b96*b195 + 534*b96*b196 + 288*b96*b197 + 84*b96*b198 + 534*b96*b199 + 264*
    b96*b200 + 11808*b96*b201 + 864*b96*b202 + 1584*b96*b203 + 9504*b96*b204 + 
    10944*b96*b205 + 8064*b96*b207 + 288*b96*b208 + 8640*b96*b209 + 10368*b96*
    b210 + 10656*b96*b211 + 6624*b96*b212 + 1872*b96*b213 + 2880*b96*b214 + 
    12384*b96*b215 + 11088*b96*b216 + 2160*b96*b217 + 12816*b96*b218 + 6912*b96
    *b219 + 2016*b96*b220 + 12816*b96*b221 + 6336*b96*b222 + 16236*b96*b223 + 
    1188*b96*b224 + 2178*b96*b225 + 13068*b96*b226 + 15048*b96*b227 + 11088*b96
    *b229 + 396*b96*b230 + 11880*b96*b231 + 14256*b96*b232 + 14652*b96*b233 + 
    9108*b96*b234 + 2574*b96*b235 + 3960*b96*b236 + 17028*b96*b237 + 15246*b96*
    b238 + 2970*b96*b239 + 17622*b96*b240 + 9504*b96*b241 + 2772*b96*b242 + 
    17622*b96*b243 + 8712*b96*b244 + 5576*b96*b245 + 408*b96*b246 + 748*b96*
    b247 + 4488*b96*b248 + 5168*b96*b249 + 3808*b96*b251 + 136*b96*b252 + 4080*
    b96*b253 + 4896*b96*b254 + 5032*b96*b255 + 3128*b96*b256 + 884*b96*b257 + 
    1360*b96*b258 + 5848*b96*b259 + 5236*b96*b260 + 1020*b96*b261 + 6052*b96*
    b262 + 3264*b96*b263 + 952*b96*b264 + 6052*b96*b265 + 2992*b96*b266 + 7380*
    b96*b267 + 540*b96*b268 + 990*b96*b269 + 5940*b96*b270 + 6840*b96*b271 + 
    5040*b96*b273 + 180*b96*b274 + 5400*b96*b275 + 6480*b96*b276 + 6660*b96*
    b277 + 4140*b96*b278 + 1170*b96*b279 + 1800*b96*b280 + 7740*b96*b281 + 6930
    *b96*b282 + 1350*b96*b283 + 8010*b96*b284 + 4320*b96*b285 + 1260*b96*b286
     + 8010*b96*b287 + 3960*b96*b288 + 2952*b96*b289 + 216*b96*b290 + 396*b96*
    b291 + 2376*b96*b292 + 2736*b96*b293 + 2016*b96*b295 + 72*b96*b296 + 2160*
    b96*b297 + 2592*b96*b298 + 2664*b96*b299 + 1656*b96*b300 + 468*b96*b301 + 
    720*b96*b302 + 3096*b96*b303 + 2772*b96*b304 + 540*b96*b305 + 3204*b96*b306
     + 1728*b96*b307 + 504*b96*b308 + 3204*b96*b309 + 1584*b96*b310 + 15744*b96
    *b311 + 1152*b96*b312 + 2112*b96*b313 + 12672*b96*b314 + 14592*b96*b315 + 
    10752*b96*b317 + 384*b96*b318 + 11520*b96*b319 + 13824*b96*b320 + 14208*b96
    *b321 + 8832*b96*b322 + 2496*b96*b323 + 3840*b96*b324 + 16512*b96*b325 + 
    14784*b96*b326 + 2880*b96*b327 + 17088*b96*b328 + 9216*b96*b329 + 2688*b96*
    b330 + 17088*b96*b331 + 8448*b96*b332 + 13448*b96*b333 + 984*b96*b334 + 
    1804*b96*b335 + 10824*b96*b336 + 12464*b96*b337 + 9184*b96*b339 + 328*b96*
    b340 + 9840*b96*b341 + 11808*b96*b342 + 12136*b96*b343 + 7544*b96*b344 + 
    2132*b96*b345 + 3280*b96*b346 + 14104*b96*b347 + 12628*b96*b348 + 2460*b96*
    b349 + 14596*b96*b350 + 7872*b96*b351 + 2296*b96*b352 + 14596*b96*b353 + 
    7216*b96*b354 + 12956*b96*b355 + 948*b96*b356 + 1738*b96*b357 + 10428*b96*
    b358 + 12008*b96*b359 + 8848*b96*b361 + 316*b96*b362 + 9480*b96*b363 + 
    11376*b96*b364 + 11692*b96*b365 + 7268*b96*b366 + 2054*b96*b367 + 3160*b96*
    b368 + 13588*b96*b369 + 12166*b96*b370 + 2370*b96*b371 + 14062*b96*b372 + 
    7584*b96*b373 + 2212*b96*b374 + 14062*b96*b375 + 6952*b96*b376 + 12300*b96*
    b377 + 900*b96*b378 + 1650*b96*b379 + 9900*b96*b380 + 11400*b96*b381 + 8400
    *b96*b383 + 300*b96*b384 + 9000*b96*b385 + 10800*b96*b386 + 11100*b96*b387
     + 6900*b96*b388 + 1950*b96*b389 + 3000*b96*b390 + 12900*b96*b391 + 11550*
    b96*b392 + 2250*b96*b393 + 13350*b96*b394 + 7200*b96*b395 + 2100*b96*b396
     + 13350*b96*b397 + 6600*b96*b398 + 13612*b96*b399 + 996*b96*b400 + 1826*
    b96*b401 + 10956*b96*b402 + 12616*b96*b403 + 9296*b96*b405 + 332*b96*b406
     + 9960*b96*b407 + 11952*b96*b408 + 12284*b96*b409 + 7636*b96*b410 + 2158*
    b96*b411 + 3320*b96*b412 + 14276*b96*b413 + 12782*b96*b414 + 2490*b96*b415
     + 14774*b96*b416 + 7968*b96*b417 + 2324*b96*b418 + 14774*b96*b419 + 7304*
    b96*b420 + 7052*b96*b421 + 516*b96*b422 + 946*b96*b423 + 5676*b96*b424 + 
    6536*b96*b425 + 4816*b96*b427 + 172*b96*b428 + 5160*b96*b429 + 6192*b96*
    b430 + 6364*b96*b431 + 3956*b96*b432 + 1118*b96*b433 + 1720*b96*b434 + 7396
    *b96*b435 + 6622*b96*b436 + 1290*b96*b437 + 7654*b96*b438 + 4128*b96*b439
     + 1204*b96*b440 + 7654*b96*b441 + 3784*b96*b442 + 4264*b96*b443 + 312*b96*
    b444 + 572*b96*b445 + 3432*b96*b446 + 3952*b96*b447 + 2912*b96*b449 + 104*
    b96*b450 + 3120*b96*b451 + 3744*b96*b452 + 3848*b96*b453 + 2392*b96*b454 + 
    676*b96*b455 + 1040*b96*b456 + 4472*b96*b457 + 4004*b96*b458 + 780*b96*b459
     + 4628*b96*b460 + 2496*b96*b461 + 728*b96*b462 + 4628*b96*b463 + 2288*b96*
    b464 + 13284*b96*b465 + 972*b96*b466 + 1782*b96*b467 + 10692*b96*b468 + 
    12312*b96*b469 + 9072*b96*b471 + 324*b96*b472 + 9720*b96*b473 + 11664*b96*
    b474 + 11988*b96*b475 + 7452*b96*b476 + 2106*b96*b477 + 3240*b96*b478 + 
    13932*b96*b479 + 12474*b96*b480 + 2430*b96*b481 + 14418*b96*b482 + 7776*b96
    *b483 + 2268*b96*b484 + 14418*b96*b485 + 7128*b96*b486 + 6396*b96*b487 + 
    468*b96*b488 + 858*b96*b489 + 5148*b96*b490 + 5928*b96*b491 + 4368*b96*b493
     + 156*b96*b494 + 4680*b96*b495 + 5616*b96*b496 + 5772*b96*b497 + 3588*b96*
    b498 + 1014*b96*b499 + 1560*b96*b500 + 6708*b96*b501 + 6006*b96*b502 + 1170
    *b96*b503 + 6942*b96*b504 + 3744*b96*b505 + 1092*b96*b506 + 6942*b96*b507
     + 3432*b96*b508 + 10824*b96*b509 + 792*b96*b510 + 1452*b96*b511 + 8712*b96
    *b512 + 10032*b96*b513 + 7392*b96*b515 + 264*b96*b516 + 7920*b96*b517 + 
    9504*b96*b518 + 9768*b96*b519 + 6072*b96*b520 + 1716*b96*b521 + 2640*b96*
    b522 + 11352*b96*b523 + 10164*b96*b524 + 1980*b96*b525 + 11748*b96*b526 + 
    6336*b96*b527 + 1848*b96*b528 + 11748*b96*b529 + 5808*b96*b530 + 648*b96*
    b531 + 432*b96*b532 + 6372*b96*b533 + 324*b96*b534 + 216*b96*b535 + 3186*
    b96*b536 + 144*b96*b537 + 96*b96*b538 + 1416*b96*b539 + 12*b96*b543 + 8*b96
    *b544 + 118*b96*b545 + 528*b96*b546 + 352*b96*b547 + 5192*b96*b548 + 384*
    b96*b549 + 256*b96*b550 + 3776*b96*b551 + 36*b96*b552 + 24*b96*b553 + 354*
    b96*b554 + 864*b96*b555 + 576*b96*b556 + 8496*b96*b557 + 1188*b96*b558 + 
    792*b96*b559 + 11682*b96*b560 + 408*b96*b561 + 272*b96*b562 + 4012*b96*b563
     + 540*b96*b564 + 360*b96*b565 + 5310*b96*b566 + 216*b96*b567 + 144*b96*
    b568 + 2124*b96*b569 + 1152*b96*b570 + 768*b96*b571 + 11328*b96*b572 + 984*
    b96*b573 + 656*b96*b574 + 9676*b96*b575 + 948*b96*b576 + 632*b96*b577 + 
    9322*b96*b578 + 900*b96*b579 + 600*b96*b580 + 8850*b96*b581 + 996*b96*b582
     + 664*b96*b583 + 9794*b96*b584 + 516*b96*b585 + 344*b96*b586 + 5074*b96*
    b587 + 312*b96*b588 + 208*b96*b589 + 3068*b96*b590 + 972*b96*b591 + 648*b96
    *b592 + 9558*b96*b593 + 468*b96*b594 + 312*b96*b595 + 4602*b96*b596 + 792*
    b96*b597 + 528*b96*b598 + 7788*b96*b599 + 1164*b96*b600 + 2134*b96*b601 + 
    12804*b96*b602 + 14744*b96*b603 + 10864*b96*b605 + 388*b96*b606 + 11640*b96
    *b607 + 13968*b96*b608 + 14356*b96*b609 + 8924*b96*b610 + 2522*b96*b611 + 
    3880*b96*b612 + 16684*b96*b613 + 776*b96*b614 + 14938*b96*b615 + 2910*b96*
    b616 + 17266*b96*b617 + 9312*b96*b618 + 2716*b96*b619 + 17266*b96*b620 + 
    8536*b96*b621 + 11446*b96*b622 + 15908*b96*b623 + 420*b96*b624 + 280*b96*
    b625 + 4130*b96*b626 + 52*b97*b113 + 142*b97*b114 + 70*b97*b115 + 82*b97*
    b116 + 182*b97*b117 + 112*b97*b118 + 44*b97*b120 + 114*b97*b121 + 126*b97*
    b122 + 12*b97*b123 + 124*b97*b125 + 82*b97*b126 + 124*b97*b127 + 50*b97*
    b128 + 150*b97*b129 + 152*b97*b130 + 80*b97*b131 + 132*b97*b132 + 116*b97*
    b133 + 60*b97*b134 + 2288*b97*b135 + 6248*b97*b136 + 3080*b97*b137 + 3608*
    b97*b138 + 8008*b97*b139 + 4928*b97*b140 + 1936*b97*b142 + 5016*b97*b143 + 
    5544*b97*b144 + 528*b97*b145 + 5456*b97*b147 + 3608*b97*b148 + 5456*b97*
    b149 + 2200*b97*b150 + 6600*b97*b151 + 6688*b97*b152 + 3520*b97*b153 + 5808
    *b97*b154 + 5104*b97*b155 + 2640*b97*b156 + 1664*b97*b157 + 4544*b97*b158
     + 2240*b97*b159 + 2624*b97*b160 + 5824*b97*b161 + 3584*b97*b162 + 1408*b97
    *b164 + 3648*b97*b165 + 4032*b97*b166 + 384*b97*b167 + 3968*b97*b169 + 2624
    *b97*b170 + 3968*b97*b171 + 1600*b97*b172 + 4800*b97*b173 + 4864*b97*b174
     + 2560*b97*b175 + 4224*b97*b176 + 3712*b97*b177 + 1920*b97*b178 + 156*b97*
    b179 + 426*b97*b180 + 210*b97*b181 + 246*b97*b182 + 546*b97*b183 + 336*b97*
    b184 + 132*b97*b186 + 342*b97*b187 + 378*b97*b188 + 36*b97*b189 + 372*b97*
    b191 + 246*b97*b192 + 372*b97*b193 + 150*b97*b194 + 450*b97*b195 + 456*b97*
    b196 + 240*b97*b197 + 396*b97*b198 + 348*b97*b199 + 180*b97*b200 + 3744*b97
    *b201 + 10224*b97*b202 + 5040*b97*b203 + 5904*b97*b204 + 13104*b97*b205 + 
    8064*b97*b206 + 3168*b97*b208 + 8208*b97*b209 + 9072*b97*b210 + 864*b97*
    b211 + 8928*b97*b213 + 5904*b97*b214 + 8928*b97*b215 + 3600*b97*b216 + 
    10800*b97*b217 + 10944*b97*b218 + 5760*b97*b219 + 9504*b97*b220 + 8352*b97*
    b221 + 4320*b97*b222 + 5148*b97*b223 + 14058*b97*b224 + 6930*b97*b225 + 
    8118*b97*b226 + 18018*b97*b227 + 11088*b97*b228 + 4356*b97*b230 + 11286*b97
    *b231 + 12474*b97*b232 + 1188*b97*b233 + 12276*b97*b235 + 8118*b97*b236 + 
    12276*b97*b237 + 4950*b97*b238 + 14850*b97*b239 + 15048*b97*b240 + 7920*b97
    *b241 + 13068*b97*b242 + 11484*b97*b243 + 5940*b97*b244 + 1768*b97*b245 + 
    4828*b97*b246 + 2380*b97*b247 + 2788*b97*b248 + 6188*b97*b249 + 3808*b97*
    b250 + 1496*b97*b252 + 3876*b97*b253 + 4284*b97*b254 + 408*b97*b255 + 4216*
    b97*b257 + 2788*b97*b258 + 4216*b97*b259 + 1700*b97*b260 + 5100*b97*b261 + 
    5168*b97*b262 + 2720*b97*b263 + 4488*b97*b264 + 3944*b97*b265 + 2040*b97*
    b266 + 2340*b97*b267 + 6390*b97*b268 + 3150*b97*b269 + 3690*b97*b270 + 8190
    *b97*b271 + 5040*b97*b272 + 1980*b97*b274 + 5130*b97*b275 + 5670*b97*b276
     + 540*b97*b277 + 5580*b97*b279 + 3690*b97*b280 + 5580*b97*b281 + 2250*b97*
    b282 + 6750*b97*b283 + 6840*b97*b284 + 3600*b97*b285 + 5940*b97*b286 + 5220
    *b97*b287 + 2700*b97*b288 + 936*b97*b289 + 2556*b97*b290 + 1260*b97*b291 + 
    1476*b97*b292 + 3276*b97*b293 + 2016*b97*b294 + 792*b97*b296 + 2052*b97*
    b297 + 2268*b97*b298 + 216*b97*b299 + 2232*b97*b301 + 1476*b97*b302 + 2232*
    b97*b303 + 900*b97*b304 + 2700*b97*b305 + 2736*b97*b306 + 1440*b97*b307 + 
    2376*b97*b308 + 2088*b97*b309 + 1080*b97*b310 + 4992*b97*b311 + 13632*b97*
    b312 + 6720*b97*b313 + 7872*b97*b314 + 17472*b97*b315 + 10752*b97*b316 + 
    4224*b97*b318 + 10944*b97*b319 + 12096*b97*b320 + 1152*b97*b321 + 11904*b97
    *b323 + 7872*b97*b324 + 11904*b97*b325 + 4800*b97*b326 + 14400*b97*b327 + 
    14592*b97*b328 + 7680*b97*b329 + 12672*b97*b330 + 11136*b97*b331 + 5760*b97
    *b332 + 4264*b97*b333 + 11644*b97*b334 + 5740*b97*b335 + 6724*b97*b336 + 
    14924*b97*b337 + 9184*b97*b338 + 3608*b97*b340 + 9348*b97*b341 + 10332*b97*
    b342 + 984*b97*b343 + 10168*b97*b345 + 6724*b97*b346 + 10168*b97*b347 + 
    4100*b97*b348 + 12300*b97*b349 + 12464*b97*b350 + 6560*b97*b351 + 10824*b97
    *b352 + 9512*b97*b353 + 4920*b97*b354 + 4108*b97*b355 + 11218*b97*b356 + 
    5530*b97*b357 + 6478*b97*b358 + 14378*b97*b359 + 8848*b97*b360 + 3476*b97*
    b362 + 9006*b97*b363 + 9954*b97*b364 + 948*b97*b365 + 9796*b97*b367 + 6478*
    b97*b368 + 9796*b97*b369 + 3950*b97*b370 + 11850*b97*b371 + 12008*b97*b372
     + 6320*b97*b373 + 10428*b97*b374 + 9164*b97*b375 + 4740*b97*b376 + 3900*
    b97*b377 + 10650*b97*b378 + 5250*b97*b379 + 6150*b97*b380 + 13650*b97*b381
     + 8400*b97*b382 + 3300*b97*b384 + 8550*b97*b385 + 9450*b97*b386 + 900*b97*
    b387 + 9300*b97*b389 + 6150*b97*b390 + 9300*b97*b391 + 3750*b97*b392 + 
    11250*b97*b393 + 11400*b97*b394 + 6000*b97*b395 + 9900*b97*b396 + 8700*b97*
    b397 + 4500*b97*b398 + 4316*b97*b399 + 11786*b97*b400 + 5810*b97*b401 + 
    6806*b97*b402 + 15106*b97*b403 + 9296*b97*b404 + 3652*b97*b406 + 9462*b97*
    b407 + 10458*b97*b408 + 996*b97*b409 + 10292*b97*b411 + 6806*b97*b412 + 
    10292*b97*b413 + 4150*b97*b414 + 12450*b97*b415 + 12616*b97*b416 + 6640*b97
    *b417 + 10956*b97*b418 + 9628*b97*b419 + 4980*b97*b420 + 2236*b97*b421 + 
    6106*b97*b422 + 3010*b97*b423 + 3526*b97*b424 + 7826*b97*b425 + 4816*b97*
    b426 + 1892*b97*b428 + 4902*b97*b429 + 5418*b97*b430 + 516*b97*b431 + 5332*
    b97*b433 + 3526*b97*b434 + 5332*b97*b435 + 2150*b97*b436 + 6450*b97*b437 + 
    6536*b97*b438 + 3440*b97*b439 + 5676*b97*b440 + 4988*b97*b441 + 2580*b97*
    b442 + 1352*b97*b443 + 3692*b97*b444 + 1820*b97*b445 + 2132*b97*b446 + 4732
    *b97*b447 + 2912*b97*b448 + 1144*b97*b450 + 2964*b97*b451 + 3276*b97*b452
     + 312*b97*b453 + 3224*b97*b455 + 2132*b97*b456 + 3224*b97*b457 + 1300*b97*
    b458 + 3900*b97*b459 + 3952*b97*b460 + 2080*b97*b461 + 3432*b97*b462 + 3016
    *b97*b463 + 1560*b97*b464 + 4212*b97*b465 + 11502*b97*b466 + 5670*b97*b467
     + 6642*b97*b468 + 14742*b97*b469 + 9072*b97*b470 + 3564*b97*b472 + 9234*
    b97*b473 + 10206*b97*b474 + 972*b97*b475 + 10044*b97*b477 + 6642*b97*b478
     + 10044*b97*b479 + 4050*b97*b480 + 12150*b97*b481 + 12312*b97*b482 + 6480*
    b97*b483 + 10692*b97*b484 + 9396*b97*b485 + 4860*b97*b486 + 2028*b97*b487
     + 5538*b97*b488 + 2730*b97*b489 + 3198*b97*b490 + 7098*b97*b491 + 4368*b97
    *b492 + 1716*b97*b494 + 4446*b97*b495 + 4914*b97*b496 + 468*b97*b497 + 4836
    *b97*b499 + 3198*b97*b500 + 4836*b97*b501 + 1950*b97*b502 + 5850*b97*b503
     + 5928*b97*b504 + 3120*b97*b505 + 5148*b97*b506 + 4524*b97*b507 + 2340*b97
    *b508 + 3432*b97*b509 + 9372*b97*b510 + 4620*b97*b511 + 5412*b97*b512 + 
    12012*b97*b513 + 7392*b97*b514 + 2904*b97*b516 + 7524*b97*b517 + 8316*b97*
    b518 + 792*b97*b519 + 8184*b97*b521 + 5412*b97*b522 + 8184*b97*b523 + 3300*
    b97*b524 + 9900*b97*b525 + 10032*b97*b526 + 5280*b97*b527 + 8712*b97*b528
     + 7656*b97*b529 + 3960*b97*b530 + 2700*b97*b531 + 4968*b97*b532 + 7344*b97
    *b533 + 1350*b97*b534 + 2484*b97*b535 + 3672*b97*b536 + 600*b97*b537 + 1104
    *b97*b538 + 1632*b97*b539 + 50*b97*b543 + 92*b97*b544 + 136*b97*b545 + 2200
    *b97*b546 + 4048*b97*b547 + 5984*b97*b548 + 1600*b97*b549 + 2944*b97*b550
     + 4352*b97*b551 + 150*b97*b552 + 276*b97*b553 + 408*b97*b554 + 3600*b97*
    b555 + 6624*b97*b556 + 9792*b97*b557 + 4950*b97*b558 + 9108*b97*b559 + 
    13464*b97*b560 + 1700*b97*b561 + 3128*b97*b562 + 4624*b97*b563 + 2250*b97*
    b564 + 4140*b97*b565 + 6120*b97*b566 + 900*b97*b567 + 1656*b97*b568 + 2448*
    b97*b569 + 4800*b97*b570 + 8832*b97*b571 + 13056*b97*b572 + 4100*b97*b573
     + 7544*b97*b574 + 11152*b97*b575 + 3950*b97*b576 + 7268*b97*b577 + 10744*
    b97*b578 + 3750*b97*b579 + 6900*b97*b580 + 10200*b97*b581 + 4150*b97*b582
     + 7636*b97*b583 + 11288*b97*b584 + 2150*b97*b585 + 3956*b97*b586 + 5848*
    b97*b587 + 1300*b97*b588 + 2392*b97*b589 + 3536*b97*b590 + 4050*b97*b591 + 
    7452*b97*b592 + 11016*b97*b593 + 1950*b97*b594 + 3588*b97*b595 + 5304*b97*
    b596 + 3300*b97*b597 + 6072*b97*b598 + 8976*b97*b599 + 13774*b97*b600 + 
    6790*b97*b601 + 7954*b97*b602 + 17654*b97*b603 + 10864*b97*b604 + 4268*b97*
    b606 + 11058*b97*b607 + 12222*b97*b608 + 1164*b97*b609 + 12028*b97*b611 + 
    7954*b97*b612 + 12028*b97*b613 + 8924*b97*b614 + 4850*b97*b615 + 14550*b97*
    b616 + 14744*b97*b617 + 7760*b97*b618 + 12804*b97*b619 + 11252*b97*b620 + 
    5820*b97*b621 + 13192*b97*b622 + 5044*b97*b623 + 1750*b97*b624 + 3220*b97*
    b625 + 4760*b97*b626 + 138*b98*b113 + 16*b98*b114 + 22*b98*b115 + 30*b98*
    b116 + 26*b98*b117 + 4*b98*b118 + 44*b98*b119 + 156*b98*b121 + 182*b98*b122
     + 26*b98*b123 + 118*b98*b124 + 98*b98*b125 + 170*b98*b126 + 168*b98*b127
     + 76*b98*b128 + 82*b98*b129 + 112*b98*b130 + 78*b98*b131 + 106*b98*b132 + 
    154*b98*b133 + 100*b98*b134 + 6072*b98*b135 + 704*b98*b136 + 968*b98*b137
     + 1320*b98*b138 + 1144*b98*b139 + 176*b98*b140 + 1936*b98*b141 + 6864*b98*
    b143 + 8008*b98*b144 + 1144*b98*b145 + 5192*b98*b146 + 4312*b98*b147 + 7480
    *b98*b148 + 7392*b98*b149 + 3344*b98*b150 + 3608*b98*b151 + 4928*b98*b152
     + 3432*b98*b153 + 4664*b98*b154 + 6776*b98*b155 + 4400*b98*b156 + 4416*b98
    *b157 + 512*b98*b158 + 704*b98*b159 + 960*b98*b160 + 832*b98*b161 + 128*b98
    *b162 + 1408*b98*b163 + 4992*b98*b165 + 5824*b98*b166 + 832*b98*b167 + 3776
    *b98*b168 + 3136*b98*b169 + 5440*b98*b170 + 5376*b98*b171 + 2432*b98*b172
     + 2624*b98*b173 + 3584*b98*b174 + 2496*b98*b175 + 3392*b98*b176 + 4928*b98
    *b177 + 3200*b98*b178 + 414*b98*b179 + 48*b98*b180 + 66*b98*b181 + 90*b98*
    b182 + 78*b98*b183 + 12*b98*b184 + 132*b98*b185 + 468*b98*b187 + 546*b98*
    b188 + 78*b98*b189 + 354*b98*b190 + 294*b98*b191 + 510*b98*b192 + 504*b98*
    b193 + 228*b98*b194 + 246*b98*b195 + 336*b98*b196 + 234*b98*b197 + 318*b98*
    b198 + 462*b98*b199 + 300*b98*b200 + 9936*b98*b201 + 1152*b98*b202 + 1584*
    b98*b203 + 2160*b98*b204 + 1872*b98*b205 + 288*b98*b206 + 3168*b98*b207 + 
    11232*b98*b209 + 13104*b98*b210 + 1872*b98*b211 + 8496*b98*b212 + 7056*b98*
    b213 + 12240*b98*b214 + 12096*b98*b215 + 5472*b98*b216 + 5904*b98*b217 + 
    8064*b98*b218 + 5616*b98*b219 + 7632*b98*b220 + 11088*b98*b221 + 7200*b98*
    b222 + 13662*b98*b223 + 1584*b98*b224 + 2178*b98*b225 + 2970*b98*b226 + 
    2574*b98*b227 + 396*b98*b228 + 4356*b98*b229 + 15444*b98*b231 + 18018*b98*
    b232 + 2574*b98*b233 + 11682*b98*b234 + 9702*b98*b235 + 16830*b98*b236 + 
    16632*b98*b237 + 7524*b98*b238 + 8118*b98*b239 + 11088*b98*b240 + 7722*b98*
    b241 + 10494*b98*b242 + 15246*b98*b243 + 9900*b98*b244 + 4692*b98*b245 + 
    544*b98*b246 + 748*b98*b247 + 1020*b98*b248 + 884*b98*b249 + 136*b98*b250
     + 1496*b98*b251 + 5304*b98*b253 + 6188*b98*b254 + 884*b98*b255 + 4012*b98*
    b256 + 3332*b98*b257 + 5780*b98*b258 + 5712*b98*b259 + 2584*b98*b260 + 2788
    *b98*b261 + 3808*b98*b262 + 2652*b98*b263 + 3604*b98*b264 + 5236*b98*b265
     + 3400*b98*b266 + 6210*b98*b267 + 720*b98*b268 + 990*b98*b269 + 1350*b98*
    b270 + 1170*b98*b271 + 180*b98*b272 + 1980*b98*b273 + 7020*b98*b275 + 8190*
    b98*b276 + 1170*b98*b277 + 5310*b98*b278 + 4410*b98*b279 + 7650*b98*b280 + 
    7560*b98*b281 + 3420*b98*b282 + 3690*b98*b283 + 5040*b98*b284 + 3510*b98*
    b285 + 4770*b98*b286 + 6930*b98*b287 + 4500*b98*b288 + 2484*b98*b289 + 288*
    b98*b290 + 396*b98*b291 + 540*b98*b292 + 468*b98*b293 + 72*b98*b294 + 792*
    b98*b295 + 2808*b98*b297 + 3276*b98*b298 + 468*b98*b299 + 2124*b98*b300 + 
    1764*b98*b301 + 3060*b98*b302 + 3024*b98*b303 + 1368*b98*b304 + 1476*b98*
    b305 + 2016*b98*b306 + 1404*b98*b307 + 1908*b98*b308 + 2772*b98*b309 + 1800
    *b98*b310 + 13248*b98*b311 + 1536*b98*b312 + 2112*b98*b313 + 2880*b98*b314
     + 2496*b98*b315 + 384*b98*b316 + 4224*b98*b317 + 14976*b98*b319 + 17472*
    b98*b320 + 2496*b98*b321 + 11328*b98*b322 + 9408*b98*b323 + 16320*b98*b324
     + 16128*b98*b325 + 7296*b98*b326 + 7872*b98*b327 + 10752*b98*b328 + 7488*
    b98*b329 + 10176*b98*b330 + 14784*b98*b331 + 9600*b98*b332 + 11316*b98*b333
     + 1312*b98*b334 + 1804*b98*b335 + 2460*b98*b336 + 2132*b98*b337 + 328*b98*
    b338 + 3608*b98*b339 + 12792*b98*b341 + 14924*b98*b342 + 2132*b98*b343 + 
    9676*b98*b344 + 8036*b98*b345 + 13940*b98*b346 + 13776*b98*b347 + 6232*b98*
    b348 + 6724*b98*b349 + 9184*b98*b350 + 6396*b98*b351 + 8692*b98*b352 + 
    12628*b98*b353 + 8200*b98*b354 + 10902*b98*b355 + 1264*b98*b356 + 1738*b98*
    b357 + 2370*b98*b358 + 2054*b98*b359 + 316*b98*b360 + 3476*b98*b361 + 12324
    *b98*b363 + 14378*b98*b364 + 2054*b98*b365 + 9322*b98*b366 + 7742*b98*b367
     + 13430*b98*b368 + 13272*b98*b369 + 6004*b98*b370 + 6478*b98*b371 + 8848*
    b98*b372 + 6162*b98*b373 + 8374*b98*b374 + 12166*b98*b375 + 7900*b98*b376
     + 10350*b98*b377 + 1200*b98*b378 + 1650*b98*b379 + 2250*b98*b380 + 1950*
    b98*b381 + 300*b98*b382 + 3300*b98*b383 + 11700*b98*b385 + 13650*b98*b386
     + 1950*b98*b387 + 8850*b98*b388 + 7350*b98*b389 + 12750*b98*b390 + 12600*
    b98*b391 + 5700*b98*b392 + 6150*b98*b393 + 8400*b98*b394 + 5850*b98*b395 + 
    7950*b98*b396 + 11550*b98*b397 + 7500*b98*b398 + 11454*b98*b399 + 1328*b98*
    b400 + 1826*b98*b401 + 2490*b98*b402 + 2158*b98*b403 + 332*b98*b404 + 3652*
    b98*b405 + 12948*b98*b407 + 15106*b98*b408 + 2158*b98*b409 + 9794*b98*b410
     + 8134*b98*b411 + 14110*b98*b412 + 13944*b98*b413 + 6308*b98*b414 + 6806*
    b98*b415 + 9296*b98*b416 + 6474*b98*b417 + 8798*b98*b418 + 12782*b98*b419
     + 8300*b98*b420 + 5934*b98*b421 + 688*b98*b422 + 946*b98*b423 + 1290*b98*
    b424 + 1118*b98*b425 + 172*b98*b426 + 1892*b98*b427 + 6708*b98*b429 + 7826*
    b98*b430 + 1118*b98*b431 + 5074*b98*b432 + 4214*b98*b433 + 7310*b98*b434 + 
    7224*b98*b435 + 3268*b98*b436 + 3526*b98*b437 + 4816*b98*b438 + 3354*b98*
    b439 + 4558*b98*b440 + 6622*b98*b441 + 4300*b98*b442 + 3588*b98*b443 + 416*
    b98*b444 + 572*b98*b445 + 780*b98*b446 + 676*b98*b447 + 104*b98*b448 + 1144
    *b98*b449 + 4056*b98*b451 + 4732*b98*b452 + 676*b98*b453 + 3068*b98*b454 + 
    2548*b98*b455 + 4420*b98*b456 + 4368*b98*b457 + 1976*b98*b458 + 2132*b98*
    b459 + 2912*b98*b460 + 2028*b98*b461 + 2756*b98*b462 + 4004*b98*b463 + 2600
    *b98*b464 + 11178*b98*b465 + 1296*b98*b466 + 1782*b98*b467 + 2430*b98*b468
     + 2106*b98*b469 + 324*b98*b470 + 3564*b98*b471 + 12636*b98*b473 + 14742*
    b98*b474 + 2106*b98*b475 + 9558*b98*b476 + 7938*b98*b477 + 13770*b98*b478
     + 13608*b98*b479 + 6156*b98*b480 + 6642*b98*b481 + 9072*b98*b482 + 6318*
    b98*b483 + 8586*b98*b484 + 12474*b98*b485 + 8100*b98*b486 + 5382*b98*b487
     + 624*b98*b488 + 858*b98*b489 + 1170*b98*b490 + 1014*b98*b491 + 156*b98*
    b492 + 1716*b98*b493 + 6084*b98*b495 + 7098*b98*b496 + 1014*b98*b497 + 4602
    *b98*b498 + 3822*b98*b499 + 6630*b98*b500 + 6552*b98*b501 + 2964*b98*b502
     + 3198*b98*b503 + 4368*b98*b504 + 3042*b98*b505 + 4134*b98*b506 + 6006*b98
    *b507 + 3900*b98*b508 + 9108*b98*b509 + 1056*b98*b510 + 1452*b98*b511 + 
    1980*b98*b512 + 1716*b98*b513 + 264*b98*b514 + 2904*b98*b515 + 10296*b98*
    b517 + 12012*b98*b518 + 1716*b98*b519 + 7788*b98*b520 + 6468*b98*b521 + 
    11220*b98*b522 + 11088*b98*b523 + 5016*b98*b524 + 5412*b98*b525 + 7392*b98*
    b526 + 5148*b98*b527 + 6996*b98*b528 + 10164*b98*b529 + 6600*b98*b530 + 
    1080*b98*b531 + 864*b98*b532 + 3240*b98*b533 + 540*b98*b534 + 432*b98*b535
     + 1620*b98*b536 + 240*b98*b537 + 192*b98*b538 + 720*b98*b539 + 20*b98*b543
     + 16*b98*b544 + 60*b98*b545 + 880*b98*b546 + 704*b98*b547 + 2640*b98*b548
     + 640*b98*b549 + 512*b98*b550 + 1920*b98*b551 + 60*b98*b552 + 48*b98*b553
     + 180*b98*b554 + 1440*b98*b555 + 1152*b98*b556 + 4320*b98*b557 + 1980*b98*
    b558 + 1584*b98*b559 + 5940*b98*b560 + 680*b98*b561 + 544*b98*b562 + 2040*
    b98*b563 + 900*b98*b564 + 720*b98*b565 + 2700*b98*b566 + 360*b98*b567 + 288
    *b98*b568 + 1080*b98*b569 + 1920*b98*b570 + 1536*b98*b571 + 5760*b98*b572
     + 1640*b98*b573 + 1312*b98*b574 + 4920*b98*b575 + 1580*b98*b576 + 1264*b98
    *b577 + 4740*b98*b578 + 1500*b98*b579 + 1200*b98*b580 + 4500*b98*b581 + 
    1660*b98*b582 + 1328*b98*b583 + 4980*b98*b584 + 860*b98*b585 + 688*b98*b586
     + 2580*b98*b587 + 520*b98*b588 + 416*b98*b589 + 1560*b98*b590 + 1620*b98*
    b591 + 1296*b98*b592 + 4860*b98*b593 + 780*b98*b594 + 624*b98*b595 + 2340*
    b98*b596 + 1320*b98*b597 + 1056*b98*b598 + 3960*b98*b599 + 1552*b98*b600 + 
    2134*b98*b601 + 2910*b98*b602 + 2522*b98*b603 + 388*b98*b604 + 4268*b98*
    b605 + 15132*b98*b607 + 17654*b98*b608 + 2522*b98*b609 + 11446*b98*b610 + 
    9506*b98*b611 + 16490*b98*b612 + 16296*b98*b613 + 1552*b98*b614 + 7372*b98*
    b615 + 7954*b98*b616 + 10864*b98*b617 + 7566*b98*b618 + 10282*b98*b619 + 
    14938*b98*b620 + 9700*b98*b621 + 5820*b98*b622 + 13386*b98*b623 + 700*b98*
    b624 + 560*b98*b625 + 2100*b98*b626 + 112*b99*b113 + 154*b99*b114 + 40*b99*
    b115 + 166*b99*b116 + 58*b99*b117 + 120*b99*b118 + 114*b99*b119 + 156*b99*
    b120 + 116*b99*b122 + 110*b99*b123 + 38*b99*b124 + 170*b99*b125 + 104*b99*
    b126 + 68*b99*b127 + 80*b99*b128 + 138*b99*b129 + 24*b99*b130 + 170*b99*
    b131 + 144*b99*b132 + 14*b99*b133 + 98*b99*b134 + 4928*b99*b135 + 6776*b99*
    b136 + 1760*b99*b137 + 7304*b99*b138 + 2552*b99*b139 + 5280*b99*b140 + 5016
    *b99*b141 + 6864*b99*b142 + 5104*b99*b144 + 4840*b99*b145 + 1672*b99*b146
     + 7480*b99*b147 + 4576*b99*b148 + 2992*b99*b149 + 3520*b99*b150 + 6072*b99
    *b151 + 1056*b99*b152 + 7480*b99*b153 + 6336*b99*b154 + 616*b99*b155 + 4312
    *b99*b156 + 3584*b99*b157 + 4928*b99*b158 + 1280*b99*b159 + 5312*b99*b160
     + 1856*b99*b161 + 3840*b99*b162 + 3648*b99*b163 + 4992*b99*b164 + 3712*b99
    *b166 + 3520*b99*b167 + 1216*b99*b168 + 5440*b99*b169 + 3328*b99*b170 + 
    2176*b99*b171 + 2560*b99*b172 + 4416*b99*b173 + 768*b99*b174 + 5440*b99*
    b175 + 4608*b99*b176 + 448*b99*b177 + 3136*b99*b178 + 336*b99*b179 + 462*
    b99*b180 + 120*b99*b181 + 498*b99*b182 + 174*b99*b183 + 360*b99*b184 + 342*
    b99*b185 + 468*b99*b186 + 348*b99*b188 + 330*b99*b189 + 114*b99*b190 + 510*
    b99*b191 + 312*b99*b192 + 204*b99*b193 + 240*b99*b194 + 414*b99*b195 + 72*
    b99*b196 + 510*b99*b197 + 432*b99*b198 + 42*b99*b199 + 294*b99*b200 + 8064*
    b99*b201 + 11088*b99*b202 + 2880*b99*b203 + 11952*b99*b204 + 4176*b99*b205
     + 8640*b99*b206 + 8208*b99*b207 + 11232*b99*b208 + 8352*b99*b210 + 7920*
    b99*b211 + 2736*b99*b212 + 12240*b99*b213 + 7488*b99*b214 + 4896*b99*b215
     + 5760*b99*b216 + 9936*b99*b217 + 1728*b99*b218 + 12240*b99*b219 + 10368*
    b99*b220 + 1008*b99*b221 + 7056*b99*b222 + 11088*b99*b223 + 15246*b99*b224
     + 3960*b99*b225 + 16434*b99*b226 + 5742*b99*b227 + 11880*b99*b228 + 11286*
    b99*b229 + 15444*b99*b230 + 11484*b99*b232 + 10890*b99*b233 + 3762*b99*b234
     + 16830*b99*b235 + 10296*b99*b236 + 6732*b99*b237 + 7920*b99*b238 + 13662*
    b99*b239 + 2376*b99*b240 + 16830*b99*b241 + 14256*b99*b242 + 1386*b99*b243
     + 9702*b99*b244 + 3808*b99*b245 + 5236*b99*b246 + 1360*b99*b247 + 5644*b99
    *b248 + 1972*b99*b249 + 4080*b99*b250 + 3876*b99*b251 + 5304*b99*b252 + 
    3944*b99*b254 + 3740*b99*b255 + 1292*b99*b256 + 5780*b99*b257 + 3536*b99*
    b258 + 2312*b99*b259 + 2720*b99*b260 + 4692*b99*b261 + 816*b99*b262 + 5780*
    b99*b263 + 4896*b99*b264 + 476*b99*b265 + 3332*b99*b266 + 5040*b99*b267 + 
    6930*b99*b268 + 1800*b99*b269 + 7470*b99*b270 + 2610*b99*b271 + 5400*b99*
    b272 + 5130*b99*b273 + 7020*b99*b274 + 5220*b99*b276 + 4950*b99*b277 + 1710
    *b99*b278 + 7650*b99*b279 + 4680*b99*b280 + 3060*b99*b281 + 3600*b99*b282
     + 6210*b99*b283 + 1080*b99*b284 + 7650*b99*b285 + 6480*b99*b286 + 630*b99*
    b287 + 4410*b99*b288 + 2016*b99*b289 + 2772*b99*b290 + 720*b99*b291 + 2988*
    b99*b292 + 1044*b99*b293 + 2160*b99*b294 + 2052*b99*b295 + 2808*b99*b296 + 
    2088*b99*b298 + 1980*b99*b299 + 684*b99*b300 + 3060*b99*b301 + 1872*b99*
    b302 + 1224*b99*b303 + 1440*b99*b304 + 2484*b99*b305 + 432*b99*b306 + 3060*
    b99*b307 + 2592*b99*b308 + 252*b99*b309 + 1764*b99*b310 + 10752*b99*b311 + 
    14784*b99*b312 + 3840*b99*b313 + 15936*b99*b314 + 5568*b99*b315 + 11520*b99
    *b316 + 10944*b99*b317 + 14976*b99*b318 + 11136*b99*b320 + 10560*b99*b321
     + 3648*b99*b322 + 16320*b99*b323 + 9984*b99*b324 + 6528*b99*b325 + 7680*
    b99*b326 + 13248*b99*b327 + 2304*b99*b328 + 16320*b99*b329 + 13824*b99*b330
     + 1344*b99*b331 + 9408*b99*b332 + 9184*b99*b333 + 12628*b99*b334 + 3280*
    b99*b335 + 13612*b99*b336 + 4756*b99*b337 + 9840*b99*b338 + 9348*b99*b339
     + 12792*b99*b340 + 9512*b99*b342 + 9020*b99*b343 + 3116*b99*b344 + 13940*
    b99*b345 + 8528*b99*b346 + 5576*b99*b347 + 6560*b99*b348 + 11316*b99*b349
     + 1968*b99*b350 + 13940*b99*b351 + 11808*b99*b352 + 1148*b99*b353 + 8036*
    b99*b354 + 8848*b99*b355 + 12166*b99*b356 + 3160*b99*b357 + 13114*b99*b358
     + 4582*b99*b359 + 9480*b99*b360 + 9006*b99*b361 + 12324*b99*b362 + 9164*
    b99*b364 + 8690*b99*b365 + 3002*b99*b366 + 13430*b99*b367 + 8216*b99*b368
     + 5372*b99*b369 + 6320*b99*b370 + 10902*b99*b371 + 1896*b99*b372 + 13430*
    b99*b373 + 11376*b99*b374 + 1106*b99*b375 + 7742*b99*b376 + 8400*b99*b377
     + 11550*b99*b378 + 3000*b99*b379 + 12450*b99*b380 + 4350*b99*b381 + 9000*
    b99*b382 + 8550*b99*b383 + 11700*b99*b384 + 8700*b99*b386 + 8250*b99*b387
     + 2850*b99*b388 + 12750*b99*b389 + 7800*b99*b390 + 5100*b99*b391 + 6000*
    b99*b392 + 10350*b99*b393 + 1800*b99*b394 + 12750*b99*b395 + 10800*b99*b396
     + 1050*b99*b397 + 7350*b99*b398 + 9296*b99*b399 + 12782*b99*b400 + 3320*
    b99*b401 + 13778*b99*b402 + 4814*b99*b403 + 9960*b99*b404 + 9462*b99*b405
     + 12948*b99*b406 + 9628*b99*b408 + 9130*b99*b409 + 3154*b99*b410 + 14110*
    b99*b411 + 8632*b99*b412 + 5644*b99*b413 + 6640*b99*b414 + 11454*b99*b415
     + 1992*b99*b416 + 14110*b99*b417 + 11952*b99*b418 + 1162*b99*b419 + 8134*
    b99*b420 + 4816*b99*b421 + 6622*b99*b422 + 1720*b99*b423 + 7138*b99*b424 + 
    2494*b99*b425 + 5160*b99*b426 + 4902*b99*b427 + 6708*b99*b428 + 4988*b99*
    b430 + 4730*b99*b431 + 1634*b99*b432 + 7310*b99*b433 + 4472*b99*b434 + 2924
    *b99*b435 + 3440*b99*b436 + 5934*b99*b437 + 1032*b99*b438 + 7310*b99*b439
     + 6192*b99*b440 + 602*b99*b441 + 4214*b99*b442 + 2912*b99*b443 + 4004*b99*
    b444 + 1040*b99*b445 + 4316*b99*b446 + 1508*b99*b447 + 3120*b99*b448 + 2964
    *b99*b449 + 4056*b99*b450 + 3016*b99*b452 + 2860*b99*b453 + 988*b99*b454 + 
    4420*b99*b455 + 2704*b99*b456 + 1768*b99*b457 + 2080*b99*b458 + 3588*b99*
    b459 + 624*b99*b460 + 4420*b99*b461 + 3744*b99*b462 + 364*b99*b463 + 2548*
    b99*b464 + 9072*b99*b465 + 12474*b99*b466 + 3240*b99*b467 + 13446*b99*b468
     + 4698*b99*b469 + 9720*b99*b470 + 9234*b99*b471 + 12636*b99*b472 + 9396*
    b99*b474 + 8910*b99*b475 + 3078*b99*b476 + 13770*b99*b477 + 8424*b99*b478
     + 5508*b99*b479 + 6480*b99*b480 + 11178*b99*b481 + 1944*b99*b482 + 13770*
    b99*b483 + 11664*b99*b484 + 1134*b99*b485 + 7938*b99*b486 + 4368*b99*b487
     + 6006*b99*b488 + 1560*b99*b489 + 6474*b99*b490 + 2262*b99*b491 + 4680*b99
    *b492 + 4446*b99*b493 + 6084*b99*b494 + 4524*b99*b496 + 4290*b99*b497 + 
    1482*b99*b498 + 6630*b99*b499 + 4056*b99*b500 + 2652*b99*b501 + 3120*b99*
    b502 + 5382*b99*b503 + 936*b99*b504 + 6630*b99*b505 + 5616*b99*b506 + 546*
    b99*b507 + 3822*b99*b508 + 7392*b99*b509 + 10164*b99*b510 + 2640*b99*b511
     + 10956*b99*b512 + 3828*b99*b513 + 7920*b99*b514 + 7524*b99*b515 + 10296*
    b99*b516 + 7656*b99*b518 + 7260*b99*b519 + 2508*b99*b520 + 11220*b99*b521
     + 6864*b99*b522 + 4488*b99*b523 + 5280*b99*b524 + 9108*b99*b525 + 1584*b99
    *b526 + 11220*b99*b527 + 9504*b99*b528 + 924*b99*b529 + 6468*b99*b530 + 432
    *b99*b531 + 5724*b99*b532 + 4968*b99*b533 + 216*b99*b534 + 2862*b99*b535 + 
    2484*b99*b536 + 96*b99*b537 + 1272*b99*b538 + 1104*b99*b539 + 8*b99*b543 + 
    106*b99*b544 + 92*b99*b545 + 352*b99*b546 + 4664*b99*b547 + 4048*b99*b548
     + 256*b99*b549 + 3392*b99*b550 + 2944*b99*b551 + 24*b99*b552 + 318*b99*
    b553 + 276*b99*b554 + 576*b99*b555 + 7632*b99*b556 + 6624*b99*b557 + 792*
    b99*b558 + 10494*b99*b559 + 9108*b99*b560 + 272*b99*b561 + 3604*b99*b562 + 
    3128*b99*b563 + 360*b99*b564 + 4770*b99*b565 + 4140*b99*b566 + 144*b99*b567
     + 1908*b99*b568 + 1656*b99*b569 + 768*b99*b570 + 10176*b99*b571 + 8832*b99
    *b572 + 656*b99*b573 + 8692*b99*b574 + 7544*b99*b575 + 632*b99*b576 + 8374*
    b99*b577 + 7268*b99*b578 + 600*b99*b579 + 7950*b99*b580 + 6900*b99*b581 + 
    664*b99*b582 + 8798*b99*b583 + 7636*b99*b584 + 344*b99*b585 + 4558*b99*b586
     + 3956*b99*b587 + 208*b99*b588 + 2756*b99*b589 + 2392*b99*b590 + 648*b99*
    b591 + 8586*b99*b592 + 7452*b99*b593 + 312*b99*b594 + 4134*b99*b595 + 3588*
    b99*b596 + 528*b99*b597 + 6996*b99*b598 + 6072*b99*b599 + 14938*b99*b600 + 
    3880*b99*b601 + 16102*b99*b602 + 5626*b99*b603 + 11640*b99*b604 + 11058*b99
    *b605 + 15132*b99*b606 + 11252*b99*b608 + 10670*b99*b609 + 3686*b99*b610 + 
    16490*b99*b611 + 10088*b99*b612 + 6596*b99*b613 + 10282*b99*b614 + 7760*b99
    *b615 + 13386*b99*b616 + 2328*b99*b617 + 16490*b99*b618 + 13968*b99*b619 + 
    1358*b99*b620 + 9506*b99*b621 + 8924*b99*b622 + 10864*b99*b623 + 280*b99*
    b624 + 3710*b99*b625 + 3220*b99*b626 + 172*b100*b113 + 148*b100*b114 + 42*
    b100*b115 + 192*b100*b116 + 22*b100*b117 + 144*b100*b118 + 126*b100*b119 + 
    182*b100*b120 + 116*b100*b121 + 174*b100*b123 + 116*b100*b124 + 34*b100*
    b125 + 136*b100*b126 + 54*b100*b127 + 12*b100*b128 + 134*b100*b129 + 52*
    b100*b130 + 164*b100*b131 + 88*b100*b132 + 70*b100*b133 + 6*b100*b134 + 
    7568*b100*b135 + 6512*b100*b136 + 1848*b100*b137 + 8448*b100*b138 + 968*
    b100*b139 + 6336*b100*b140 + 5544*b100*b141 + 8008*b100*b142 + 5104*b100*
    b143 + 7656*b100*b145 + 5104*b100*b146 + 1496*b100*b147 + 5984*b100*b148 + 
    2376*b100*b149 + 528*b100*b150 + 5896*b100*b151 + 2288*b100*b152 + 7216*
    b100*b153 + 3872*b100*b154 + 3080*b100*b155 + 264*b100*b156 + 5504*b100*
    b157 + 4736*b100*b158 + 1344*b100*b159 + 6144*b100*b160 + 704*b100*b161 + 
    4608*b100*b162 + 4032*b100*b163 + 5824*b100*b164 + 3712*b100*b165 + 5568*
    b100*b167 + 3712*b100*b168 + 1088*b100*b169 + 4352*b100*b170 + 1728*b100*
    b171 + 384*b100*b172 + 4288*b100*b173 + 1664*b100*b174 + 5248*b100*b175 + 
    2816*b100*b176 + 2240*b100*b177 + 192*b100*b178 + 516*b100*b179 + 444*b100*
    b180 + 126*b100*b181 + 576*b100*b182 + 66*b100*b183 + 432*b100*b184 + 378*
    b100*b185 + 546*b100*b186 + 348*b100*b187 + 522*b100*b189 + 348*b100*b190
     + 102*b100*b191 + 408*b100*b192 + 162*b100*b193 + 36*b100*b194 + 402*b100*
    b195 + 156*b100*b196 + 492*b100*b197 + 264*b100*b198 + 210*b100*b199 + 18*
    b100*b200 + 12384*b100*b201 + 10656*b100*b202 + 3024*b100*b203 + 13824*b100
    *b204 + 1584*b100*b205 + 10368*b100*b206 + 9072*b100*b207 + 13104*b100*b208
     + 8352*b100*b209 + 12528*b100*b211 + 8352*b100*b212 + 2448*b100*b213 + 
    9792*b100*b214 + 3888*b100*b215 + 864*b100*b216 + 9648*b100*b217 + 3744*
    b100*b218 + 11808*b100*b219 + 6336*b100*b220 + 5040*b100*b221 + 432*b100*
    b222 + 17028*b100*b223 + 14652*b100*b224 + 4158*b100*b225 + 19008*b100*b226
     + 2178*b100*b227 + 14256*b100*b228 + 12474*b100*b229 + 18018*b100*b230 + 
    11484*b100*b231 + 17226*b100*b233 + 11484*b100*b234 + 3366*b100*b235 + 
    13464*b100*b236 + 5346*b100*b237 + 1188*b100*b238 + 13266*b100*b239 + 5148*
    b100*b240 + 16236*b100*b241 + 8712*b100*b242 + 6930*b100*b243 + 594*b100*
    b244 + 5848*b100*b245 + 5032*b100*b246 + 1428*b100*b247 + 6528*b100*b248 + 
    748*b100*b249 + 4896*b100*b250 + 4284*b100*b251 + 6188*b100*b252 + 3944*
    b100*b253 + 5916*b100*b255 + 3944*b100*b256 + 1156*b100*b257 + 4624*b100*
    b258 + 1836*b100*b259 + 408*b100*b260 + 4556*b100*b261 + 1768*b100*b262 + 
    5576*b100*b263 + 2992*b100*b264 + 2380*b100*b265 + 204*b100*b266 + 7740*
    b100*b267 + 6660*b100*b268 + 1890*b100*b269 + 8640*b100*b270 + 990*b100*
    b271 + 6480*b100*b272 + 5670*b100*b273 + 8190*b100*b274 + 5220*b100*b275 + 
    7830*b100*b277 + 5220*b100*b278 + 1530*b100*b279 + 6120*b100*b280 + 2430*
    b100*b281 + 540*b100*b282 + 6030*b100*b283 + 2340*b100*b284 + 7380*b100*
    b285 + 3960*b100*b286 + 3150*b100*b287 + 270*b100*b288 + 3096*b100*b289 + 
    2664*b100*b290 + 756*b100*b291 + 3456*b100*b292 + 396*b100*b293 + 2592*b100
    *b294 + 2268*b100*b295 + 3276*b100*b296 + 2088*b100*b297 + 3132*b100*b299
     + 2088*b100*b300 + 612*b100*b301 + 2448*b100*b302 + 972*b100*b303 + 216*
    b100*b304 + 2412*b100*b305 + 936*b100*b306 + 2952*b100*b307 + 1584*b100*
    b308 + 1260*b100*b309 + 108*b100*b310 + 16512*b100*b311 + 14208*b100*b312
     + 4032*b100*b313 + 18432*b100*b314 + 2112*b100*b315 + 13824*b100*b316 + 
    12096*b100*b317 + 17472*b100*b318 + 11136*b100*b319 + 16704*b100*b321 + 
    11136*b100*b322 + 3264*b100*b323 + 13056*b100*b324 + 5184*b100*b325 + 1152*
    b100*b326 + 12864*b100*b327 + 4992*b100*b328 + 15744*b100*b329 + 8448*b100*
    b330 + 6720*b100*b331 + 576*b100*b332 + 14104*b100*b333 + 12136*b100*b334
     + 3444*b100*b335 + 15744*b100*b336 + 1804*b100*b337 + 11808*b100*b338 + 
    10332*b100*b339 + 14924*b100*b340 + 9512*b100*b341 + 14268*b100*b343 + 9512
    *b100*b344 + 2788*b100*b345 + 11152*b100*b346 + 4428*b100*b347 + 984*b100*
    b348 + 10988*b100*b349 + 4264*b100*b350 + 13448*b100*b351 + 7216*b100*b352
     + 5740*b100*b353 + 492*b100*b354 + 13588*b100*b355 + 11692*b100*b356 + 
    3318*b100*b357 + 15168*b100*b358 + 1738*b100*b359 + 11376*b100*b360 + 9954*
    b100*b361 + 14378*b100*b362 + 9164*b100*b363 + 13746*b100*b365 + 9164*b100*
    b366 + 2686*b100*b367 + 10744*b100*b368 + 4266*b100*b369 + 948*b100*b370 + 
    10586*b100*b371 + 4108*b100*b372 + 12956*b100*b373 + 6952*b100*b374 + 5530*
    b100*b375 + 474*b100*b376 + 12900*b100*b377 + 11100*b100*b378 + 3150*b100*
    b379 + 14400*b100*b380 + 1650*b100*b381 + 10800*b100*b382 + 9450*b100*b383
     + 13650*b100*b384 + 8700*b100*b385 + 13050*b100*b387 + 8700*b100*b388 + 
    2550*b100*b389 + 10200*b100*b390 + 4050*b100*b391 + 900*b100*b392 + 10050*
    b100*b393 + 3900*b100*b394 + 12300*b100*b395 + 6600*b100*b396 + 5250*b100*
    b397 + 450*b100*b398 + 14276*b100*b399 + 12284*b100*b400 + 3486*b100*b401
     + 15936*b100*b402 + 1826*b100*b403 + 11952*b100*b404 + 10458*b100*b405 + 
    15106*b100*b406 + 9628*b100*b407 + 14442*b100*b409 + 9628*b100*b410 + 2822*
    b100*b411 + 11288*b100*b412 + 4482*b100*b413 + 996*b100*b414 + 11122*b100*
    b415 + 4316*b100*b416 + 13612*b100*b417 + 7304*b100*b418 + 5810*b100*b419
     + 498*b100*b420 + 7396*b100*b421 + 6364*b100*b422 + 1806*b100*b423 + 8256*
    b100*b424 + 946*b100*b425 + 6192*b100*b426 + 5418*b100*b427 + 7826*b100*
    b428 + 4988*b100*b429 + 7482*b100*b431 + 4988*b100*b432 + 1462*b100*b433 + 
    5848*b100*b434 + 2322*b100*b435 + 516*b100*b436 + 5762*b100*b437 + 2236*
    b100*b438 + 7052*b100*b439 + 3784*b100*b440 + 3010*b100*b441 + 258*b100*
    b442 + 4472*b100*b443 + 3848*b100*b444 + 1092*b100*b445 + 4992*b100*b446 + 
    572*b100*b447 + 3744*b100*b448 + 3276*b100*b449 + 4732*b100*b450 + 3016*
    b100*b451 + 4524*b100*b453 + 3016*b100*b454 + 884*b100*b455 + 3536*b100*
    b456 + 1404*b100*b457 + 312*b100*b458 + 3484*b100*b459 + 1352*b100*b460 + 
    4264*b100*b461 + 2288*b100*b462 + 1820*b100*b463 + 156*b100*b464 + 13932*
    b100*b465 + 11988*b100*b466 + 3402*b100*b467 + 15552*b100*b468 + 1782*b100*
    b469 + 11664*b100*b470 + 10206*b100*b471 + 14742*b100*b472 + 9396*b100*b473
     + 14094*b100*b475 + 9396*b100*b476 + 2754*b100*b477 + 11016*b100*b478 + 
    4374*b100*b479 + 972*b100*b480 + 10854*b100*b481 + 4212*b100*b482 + 13284*
    b100*b483 + 7128*b100*b484 + 5670*b100*b485 + 486*b100*b486 + 6708*b100*
    b487 + 5772*b100*b488 + 1638*b100*b489 + 7488*b100*b490 + 858*b100*b491 + 
    5616*b100*b492 + 4914*b100*b493 + 7098*b100*b494 + 4524*b100*b495 + 6786*
    b100*b497 + 4524*b100*b498 + 1326*b100*b499 + 5304*b100*b500 + 2106*b100*
    b501 + 468*b100*b502 + 5226*b100*b503 + 2028*b100*b504 + 6396*b100*b505 + 
    3432*b100*b506 + 2730*b100*b507 + 234*b100*b508 + 11352*b100*b509 + 9768*
    b100*b510 + 2772*b100*b511 + 12672*b100*b512 + 1452*b100*b513 + 9504*b100*
    b514 + 8316*b100*b515 + 12012*b100*b516 + 7656*b100*b517 + 11484*b100*b519
     + 7656*b100*b520 + 2244*b100*b521 + 8976*b100*b522 + 3564*b100*b523 + 792*
    b100*b524 + 8844*b100*b525 + 3432*b100*b526 + 10824*b100*b527 + 5808*b100*
    b528 + 4620*b100*b529 + 396*b100*b530 + 6804*b100*b531 + 2268*b100*b532 + 
    6696*b100*b533 + 3402*b100*b534 + 1134*b100*b535 + 3348*b100*b536 + 1512*
    b100*b537 + 504*b100*b538 + 1488*b100*b539 + 126*b100*b543 + 42*b100*b544
     + 124*b100*b545 + 5544*b100*b546 + 1848*b100*b547 + 5456*b100*b548 + 4032*
    b100*b549 + 1344*b100*b550 + 3968*b100*b551 + 378*b100*b552 + 126*b100*b553
     + 372*b100*b554 + 9072*b100*b555 + 3024*b100*b556 + 8928*b100*b557 + 12474
    *b100*b558 + 4158*b100*b559 + 12276*b100*b560 + 4284*b100*b561 + 1428*b100*
    b562 + 4216*b100*b563 + 5670*b100*b564 + 1890*b100*b565 + 5580*b100*b566 + 
    2268*b100*b567 + 756*b100*b568 + 2232*b100*b569 + 12096*b100*b570 + 4032*
    b100*b571 + 11904*b100*b572 + 10332*b100*b573 + 3444*b100*b574 + 10168*b100
    *b575 + 9954*b100*b576 + 3318*b100*b577 + 9796*b100*b578 + 9450*b100*b579
     + 3150*b100*b580 + 9300*b100*b581 + 10458*b100*b582 + 3486*b100*b583 + 
    10292*b100*b584 + 5418*b100*b585 + 1806*b100*b586 + 5332*b100*b587 + 3276*
    b100*b588 + 1092*b100*b589 + 3224*b100*b590 + 10206*b100*b591 + 3402*b100*
    b592 + 10044*b100*b593 + 4914*b100*b594 + 1638*b100*b595 + 4836*b100*b596
     + 8316*b100*b597 + 2772*b100*b598 + 8184*b100*b599 + 14356*b100*b600 + 
    4074*b100*b601 + 18624*b100*b602 + 2134*b100*b603 + 13968*b100*b604 + 12222
    *b100*b605 + 17654*b100*b606 + 11252*b100*b607 + 16878*b100*b609 + 11252*
    b100*b610 + 3298*b100*b611 + 13192*b100*b612 + 5238*b100*b613 + 4074*b100*
    b614 + 1164*b100*b615 + 12998*b100*b616 + 5044*b100*b617 + 15908*b100*b618
     + 8536*b100*b619 + 6790*b100*b620 + 582*b100*b621 + 12028*b100*b622 + 
    16684*b100*b623 + 4410*b100*b624 + 1470*b100*b625 + 4340*b100*b626 + 90*
    b101*b113 + 60*b101*b114 + 122*b101*b115 + 148*b101*b116 + 154*b101*b117 + 
    148*b101*b118 + 12*b101*b119 + 26*b101*b120 + 110*b101*b121 + 174*b101*b122
     + 16*b101*b124 + 102*b101*b125 + 2*b101*b126 + 182*b101*b127 + 174*b101*
    b128 + 144*b101*b129 + 90*b101*b130 + 192*b101*b131 + 14*b101*b132 + 174*
    b101*b133 + 136*b101*b134 + 3960*b101*b135 + 2640*b101*b136 + 5368*b101*
    b137 + 6512*b101*b138 + 6776*b101*b139 + 6512*b101*b140 + 528*b101*b141 + 
    1144*b101*b142 + 4840*b101*b143 + 7656*b101*b144 + 704*b101*b146 + 4488*
    b101*b147 + 88*b101*b148 + 8008*b101*b149 + 7656*b101*b150 + 6336*b101*b151
     + 3960*b101*b152 + 8448*b101*b153 + 616*b101*b154 + 7656*b101*b155 + 5984*
    b101*b156 + 2880*b101*b157 + 1920*b101*b158 + 3904*b101*b159 + 4736*b101*
    b160 + 4928*b101*b161 + 4736*b101*b162 + 384*b101*b163 + 832*b101*b164 + 
    3520*b101*b165 + 5568*b101*b166 + 512*b101*b168 + 3264*b101*b169 + 64*b101*
    b170 + 5824*b101*b171 + 5568*b101*b172 + 4608*b101*b173 + 2880*b101*b174 + 
    6144*b101*b175 + 448*b101*b176 + 5568*b101*b177 + 4352*b101*b178 + 270*b101
    *b179 + 180*b101*b180 + 366*b101*b181 + 444*b101*b182 + 462*b101*b183 + 444
    *b101*b184 + 36*b101*b185 + 78*b101*b186 + 330*b101*b187 + 522*b101*b188 + 
    48*b101*b190 + 306*b101*b191 + 6*b101*b192 + 546*b101*b193 + 522*b101*b194
     + 432*b101*b195 + 270*b101*b196 + 576*b101*b197 + 42*b101*b198 + 522*b101*
    b199 + 408*b101*b200 + 6480*b101*b201 + 4320*b101*b202 + 8784*b101*b203 + 
    10656*b101*b204 + 11088*b101*b205 + 10656*b101*b206 + 864*b101*b207 + 1872*
    b101*b208 + 7920*b101*b209 + 12528*b101*b210 + 1152*b101*b212 + 7344*b101*
    b213 + 144*b101*b214 + 13104*b101*b215 + 12528*b101*b216 + 10368*b101*b217
     + 6480*b101*b218 + 13824*b101*b219 + 1008*b101*b220 + 12528*b101*b221 + 
    9792*b101*b222 + 8910*b101*b223 + 5940*b101*b224 + 12078*b101*b225 + 14652*
    b101*b226 + 15246*b101*b227 + 14652*b101*b228 + 1188*b101*b229 + 2574*b101*
    b230 + 10890*b101*b231 + 17226*b101*b232 + 1584*b101*b234 + 10098*b101*b235
     + 198*b101*b236 + 18018*b101*b237 + 17226*b101*b238 + 14256*b101*b239 + 
    8910*b101*b240 + 19008*b101*b241 + 1386*b101*b242 + 17226*b101*b243 + 13464
    *b101*b244 + 3060*b101*b245 + 2040*b101*b246 + 4148*b101*b247 + 5032*b101*
    b248 + 5236*b101*b249 + 5032*b101*b250 + 408*b101*b251 + 884*b101*b252 + 
    3740*b101*b253 + 5916*b101*b254 + 544*b101*b256 + 3468*b101*b257 + 68*b101*
    b258 + 6188*b101*b259 + 5916*b101*b260 + 4896*b101*b261 + 3060*b101*b262 + 
    6528*b101*b263 + 476*b101*b264 + 5916*b101*b265 + 4624*b101*b266 + 4050*
    b101*b267 + 2700*b101*b268 + 5490*b101*b269 + 6660*b101*b270 + 6930*b101*
    b271 + 6660*b101*b272 + 540*b101*b273 + 1170*b101*b274 + 4950*b101*b275 + 
    7830*b101*b276 + 720*b101*b278 + 4590*b101*b279 + 90*b101*b280 + 8190*b101*
    b281 + 7830*b101*b282 + 6480*b101*b283 + 4050*b101*b284 + 8640*b101*b285 + 
    630*b101*b286 + 7830*b101*b287 + 6120*b101*b288 + 1620*b101*b289 + 1080*
    b101*b290 + 2196*b101*b291 + 2664*b101*b292 + 2772*b101*b293 + 2664*b101*
    b294 + 216*b101*b295 + 468*b101*b296 + 1980*b101*b297 + 3132*b101*b298 + 
    288*b101*b300 + 1836*b101*b301 + 36*b101*b302 + 3276*b101*b303 + 3132*b101*
    b304 + 2592*b101*b305 + 1620*b101*b306 + 3456*b101*b307 + 252*b101*b308 + 
    3132*b101*b309 + 2448*b101*b310 + 8640*b101*b311 + 5760*b101*b312 + 11712*
    b101*b313 + 14208*b101*b314 + 14784*b101*b315 + 14208*b101*b316 + 1152*b101
    *b317 + 2496*b101*b318 + 10560*b101*b319 + 16704*b101*b320 + 1536*b101*b322
     + 9792*b101*b323 + 192*b101*b324 + 17472*b101*b325 + 16704*b101*b326 + 
    13824*b101*b327 + 8640*b101*b328 + 18432*b101*b329 + 1344*b101*b330 + 16704
    *b101*b331 + 13056*b101*b332 + 7380*b101*b333 + 4920*b101*b334 + 10004*b101
    *b335 + 12136*b101*b336 + 12628*b101*b337 + 12136*b101*b338 + 984*b101*b339
     + 2132*b101*b340 + 9020*b101*b341 + 14268*b101*b342 + 1312*b101*b344 + 
    8364*b101*b345 + 164*b101*b346 + 14924*b101*b347 + 14268*b101*b348 + 11808*
    b101*b349 + 7380*b101*b350 + 15744*b101*b351 + 1148*b101*b352 + 14268*b101*
    b353 + 11152*b101*b354 + 7110*b101*b355 + 4740*b101*b356 + 9638*b101*b357
     + 11692*b101*b358 + 12166*b101*b359 + 11692*b101*b360 + 948*b101*b361 + 
    2054*b101*b362 + 8690*b101*b363 + 13746*b101*b364 + 1264*b101*b366 + 8058*
    b101*b367 + 158*b101*b368 + 14378*b101*b369 + 13746*b101*b370 + 11376*b101*
    b371 + 7110*b101*b372 + 15168*b101*b373 + 1106*b101*b374 + 13746*b101*b375
     + 10744*b101*b376 + 6750*b101*b377 + 4500*b101*b378 + 9150*b101*b379 + 
    11100*b101*b380 + 11550*b101*b381 + 11100*b101*b382 + 900*b101*b383 + 1950*
    b101*b384 + 8250*b101*b385 + 13050*b101*b386 + 1200*b101*b388 + 7650*b101*
    b389 + 150*b101*b390 + 13650*b101*b391 + 13050*b101*b392 + 10800*b101*b393
     + 6750*b101*b394 + 14400*b101*b395 + 1050*b101*b396 + 13050*b101*b397 + 
    10200*b101*b398 + 7470*b101*b399 + 4980*b101*b400 + 10126*b101*b401 + 12284
    *b101*b402 + 12782*b101*b403 + 12284*b101*b404 + 996*b101*b405 + 2158*b101*
    b406 + 9130*b101*b407 + 14442*b101*b408 + 1328*b101*b410 + 8466*b101*b411
     + 166*b101*b412 + 15106*b101*b413 + 14442*b101*b414 + 11952*b101*b415 + 
    7470*b101*b416 + 15936*b101*b417 + 1162*b101*b418 + 14442*b101*b419 + 11288
    *b101*b420 + 3870*b101*b421 + 2580*b101*b422 + 5246*b101*b423 + 6364*b101*
    b424 + 6622*b101*b425 + 6364*b101*b426 + 516*b101*b427 + 1118*b101*b428 + 
    4730*b101*b429 + 7482*b101*b430 + 688*b101*b432 + 4386*b101*b433 + 86*b101*
    b434 + 7826*b101*b435 + 7482*b101*b436 + 6192*b101*b437 + 3870*b101*b438 + 
    8256*b101*b439 + 602*b101*b440 + 7482*b101*b441 + 5848*b101*b442 + 2340*
    b101*b443 + 1560*b101*b444 + 3172*b101*b445 + 3848*b101*b446 + 4004*b101*
    b447 + 3848*b101*b448 + 312*b101*b449 + 676*b101*b450 + 2860*b101*b451 + 
    4524*b101*b452 + 416*b101*b454 + 2652*b101*b455 + 52*b101*b456 + 4732*b101*
    b457 + 4524*b101*b458 + 3744*b101*b459 + 2340*b101*b460 + 4992*b101*b461 + 
    364*b101*b462 + 4524*b101*b463 + 3536*b101*b464 + 7290*b101*b465 + 4860*
    b101*b466 + 9882*b101*b467 + 11988*b101*b468 + 12474*b101*b469 + 11988*b101
    *b470 + 972*b101*b471 + 2106*b101*b472 + 8910*b101*b473 + 14094*b101*b474
     + 1296*b101*b476 + 8262*b101*b477 + 162*b101*b478 + 14742*b101*b479 + 
    14094*b101*b480 + 11664*b101*b481 + 7290*b101*b482 + 15552*b101*b483 + 1134
    *b101*b484 + 14094*b101*b485 + 11016*b101*b486 + 3510*b101*b487 + 2340*b101
    *b488 + 4758*b101*b489 + 5772*b101*b490 + 6006*b101*b491 + 5772*b101*b492
     + 468*b101*b493 + 1014*b101*b494 + 4290*b101*b495 + 6786*b101*b496 + 624*
    b101*b498 + 3978*b101*b499 + 78*b101*b500 + 7098*b101*b501 + 6786*b101*b502
     + 5616*b101*b503 + 3510*b101*b504 + 7488*b101*b505 + 546*b101*b506 + 6786*
    b101*b507 + 5304*b101*b508 + 5940*b101*b509 + 3960*b101*b510 + 8052*b101*
    b511 + 9768*b101*b512 + 10164*b101*b513 + 9768*b101*b514 + 792*b101*b515 + 
    1716*b101*b516 + 7260*b101*b517 + 11484*b101*b518 + 1056*b101*b520 + 6732*
    b101*b521 + 132*b101*b522 + 12012*b101*b523 + 11484*b101*b524 + 9504*b101*
    b525 + 5940*b101*b526 + 12672*b101*b527 + 924*b101*b528 + 11484*b101*b529
     + 8976*b101*b530 + 648*b101*b531 + 4212*b101*b532 + 3564*b101*b533 + 324*
    b101*b534 + 2106*b101*b535 + 1782*b101*b536 + 144*b101*b537 + 936*b101*b538
     + 792*b101*b539 + 12*b101*b543 + 78*b101*b544 + 66*b101*b545 + 528*b101*
    b546 + 3432*b101*b547 + 2904*b101*b548 + 384*b101*b549 + 2496*b101*b550 + 
    2112*b101*b551 + 36*b101*b552 + 234*b101*b553 + 198*b101*b554 + 864*b101*
    b555 + 5616*b101*b556 + 4752*b101*b557 + 1188*b101*b558 + 7722*b101*b559 + 
    6534*b101*b560 + 408*b101*b561 + 2652*b101*b562 + 2244*b101*b563 + 540*b101
    *b564 + 3510*b101*b565 + 2970*b101*b566 + 216*b101*b567 + 1404*b101*b568 + 
    1188*b101*b569 + 1152*b101*b570 + 7488*b101*b571 + 6336*b101*b572 + 984*
    b101*b573 + 6396*b101*b574 + 5412*b101*b575 + 948*b101*b576 + 6162*b101*
    b577 + 5214*b101*b578 + 900*b101*b579 + 5850*b101*b580 + 4950*b101*b581 + 
    996*b101*b582 + 6474*b101*b583 + 5478*b101*b584 + 516*b101*b585 + 3354*b101
    *b586 + 2838*b101*b587 + 312*b101*b588 + 2028*b101*b589 + 1716*b101*b590 + 
    972*b101*b591 + 6318*b101*b592 + 5346*b101*b593 + 468*b101*b594 + 3042*b101
    *b595 + 2574*b101*b596 + 792*b101*b597 + 5148*b101*b598 + 4356*b101*b599 + 
    5820*b101*b600 + 11834*b101*b601 + 14356*b101*b602 + 14938*b101*b603 + 
    14356*b101*b604 + 1164*b101*b605 + 2522*b101*b606 + 10670*b101*b607 + 16878
    *b101*b608 + 1552*b101*b610 + 9894*b101*b611 + 194*b101*b612 + 17654*b101*
    b613 + 7566*b101*b614 + 16878*b101*b615 + 13968*b101*b616 + 8730*b101*b617
     + 18624*b101*b618 + 1358*b101*b619 + 16878*b101*b620 + 13192*b101*b621 + 
    6402*b101*b622 + 8730*b101*b623 + 420*b101*b624 + 2730*b101*b625 + 2310*
    b101*b626 + 182*b102*b113 + 178*b102*b114 + 160*b102*b115 + 90*b102*b116 + 
    64*b102*b117 + 92*b102*b118 + 118*b102*b120 + 38*b102*b121 + 116*b102*b122
     + 16*b102*b123 + 6*b102*b125 + 42*b102*b126 + 180*b102*b127 + 94*b102*b128
     + 50*b102*b129 + 60*b102*b130 + 86*b102*b131 + 194*b102*b132 + 66*b102*
    b133 + 70*b102*b134 + 8008*b102*b135 + 7832*b102*b136 + 7040*b102*b137 + 
    3960*b102*b138 + 2816*b102*b139 + 4048*b102*b140 + 5192*b102*b142 + 1672*
    b102*b143 + 5104*b102*b144 + 704*b102*b145 + 264*b102*b147 + 1848*b102*b148
     + 7920*b102*b149 + 4136*b102*b150 + 2200*b102*b151 + 2640*b102*b152 + 3784
    *b102*b153 + 8536*b102*b154 + 2904*b102*b155 + 3080*b102*b156 + 5824*b102*
    b157 + 5696*b102*b158 + 5120*b102*b159 + 2880*b102*b160 + 2048*b102*b161 + 
    2944*b102*b162 + 3776*b102*b164 + 1216*b102*b165 + 3712*b102*b166 + 512*
    b102*b167 + 192*b102*b169 + 1344*b102*b170 + 5760*b102*b171 + 3008*b102*
    b172 + 1600*b102*b173 + 1920*b102*b174 + 2752*b102*b175 + 6208*b102*b176 + 
    2112*b102*b177 + 2240*b102*b178 + 546*b102*b179 + 534*b102*b180 + 480*b102*
    b181 + 270*b102*b182 + 192*b102*b183 + 276*b102*b184 + 354*b102*b186 + 114*
    b102*b187 + 348*b102*b188 + 48*b102*b189 + 18*b102*b191 + 126*b102*b192 + 
    540*b102*b193 + 282*b102*b194 + 150*b102*b195 + 180*b102*b196 + 258*b102*
    b197 + 582*b102*b198 + 198*b102*b199 + 210*b102*b200 + 13104*b102*b201 + 
    12816*b102*b202 + 11520*b102*b203 + 6480*b102*b204 + 4608*b102*b205 + 6624*
    b102*b206 + 8496*b102*b208 + 2736*b102*b209 + 8352*b102*b210 + 1152*b102*
    b211 + 432*b102*b213 + 3024*b102*b214 + 12960*b102*b215 + 6768*b102*b216 + 
    3600*b102*b217 + 4320*b102*b218 + 6192*b102*b219 + 13968*b102*b220 + 4752*
    b102*b221 + 5040*b102*b222 + 18018*b102*b223 + 17622*b102*b224 + 15840*b102
    *b225 + 8910*b102*b226 + 6336*b102*b227 + 9108*b102*b228 + 11682*b102*b230
     + 3762*b102*b231 + 11484*b102*b232 + 1584*b102*b233 + 594*b102*b235 + 4158
    *b102*b236 + 17820*b102*b237 + 9306*b102*b238 + 4950*b102*b239 + 5940*b102*
    b240 + 8514*b102*b241 + 19206*b102*b242 + 6534*b102*b243 + 6930*b102*b244
     + 6188*b102*b245 + 6052*b102*b246 + 5440*b102*b247 + 3060*b102*b248 + 2176
    *b102*b249 + 3128*b102*b250 + 4012*b102*b252 + 1292*b102*b253 + 3944*b102*
    b254 + 544*b102*b255 + 204*b102*b257 + 1428*b102*b258 + 6120*b102*b259 + 
    3196*b102*b260 + 1700*b102*b261 + 2040*b102*b262 + 2924*b102*b263 + 6596*
    b102*b264 + 2244*b102*b265 + 2380*b102*b266 + 8190*b102*b267 + 8010*b102*
    b268 + 7200*b102*b269 + 4050*b102*b270 + 2880*b102*b271 + 4140*b102*b272 + 
    5310*b102*b274 + 1710*b102*b275 + 5220*b102*b276 + 720*b102*b277 + 270*b102
    *b279 + 1890*b102*b280 + 8100*b102*b281 + 4230*b102*b282 + 2250*b102*b283
     + 2700*b102*b284 + 3870*b102*b285 + 8730*b102*b286 + 2970*b102*b287 + 3150
    *b102*b288 + 3276*b102*b289 + 3204*b102*b290 + 2880*b102*b291 + 1620*b102*
    b292 + 1152*b102*b293 + 1656*b102*b294 + 2124*b102*b296 + 684*b102*b297 + 
    2088*b102*b298 + 288*b102*b299 + 108*b102*b301 + 756*b102*b302 + 3240*b102*
    b303 + 1692*b102*b304 + 900*b102*b305 + 1080*b102*b306 + 1548*b102*b307 + 
    3492*b102*b308 + 1188*b102*b309 + 1260*b102*b310 + 17472*b102*b311 + 17088*
    b102*b312 + 15360*b102*b313 + 8640*b102*b314 + 6144*b102*b315 + 8832*b102*
    b316 + 11328*b102*b318 + 3648*b102*b319 + 11136*b102*b320 + 1536*b102*b321
     + 576*b102*b323 + 4032*b102*b324 + 17280*b102*b325 + 9024*b102*b326 + 4800
    *b102*b327 + 5760*b102*b328 + 8256*b102*b329 + 18624*b102*b330 + 6336*b102*
    b331 + 6720*b102*b332 + 14924*b102*b333 + 14596*b102*b334 + 13120*b102*b335
     + 7380*b102*b336 + 5248*b102*b337 + 7544*b102*b338 + 9676*b102*b340 + 3116
    *b102*b341 + 9512*b102*b342 + 1312*b102*b343 + 492*b102*b345 + 3444*b102*
    b346 + 14760*b102*b347 + 7708*b102*b348 + 4100*b102*b349 + 4920*b102*b350
     + 7052*b102*b351 + 15908*b102*b352 + 5412*b102*b353 + 5740*b102*b354 + 
    14378*b102*b355 + 14062*b102*b356 + 12640*b102*b357 + 7110*b102*b358 + 5056
    *b102*b359 + 7268*b102*b360 + 9322*b102*b362 + 3002*b102*b363 + 9164*b102*
    b364 + 1264*b102*b365 + 474*b102*b367 + 3318*b102*b368 + 14220*b102*b369 + 
    7426*b102*b370 + 3950*b102*b371 + 4740*b102*b372 + 6794*b102*b373 + 15326*
    b102*b374 + 5214*b102*b375 + 5530*b102*b376 + 13650*b102*b377 + 13350*b102*
    b378 + 12000*b102*b379 + 6750*b102*b380 + 4800*b102*b381 + 6900*b102*b382
     + 8850*b102*b384 + 2850*b102*b385 + 8700*b102*b386 + 1200*b102*b387 + 450*
    b102*b389 + 3150*b102*b390 + 13500*b102*b391 + 7050*b102*b392 + 3750*b102*
    b393 + 4500*b102*b394 + 6450*b102*b395 + 14550*b102*b396 + 4950*b102*b397
     + 5250*b102*b398 + 15106*b102*b399 + 14774*b102*b400 + 13280*b102*b401 + 
    7470*b102*b402 + 5312*b102*b403 + 7636*b102*b404 + 9794*b102*b406 + 3154*
    b102*b407 + 9628*b102*b408 + 1328*b102*b409 + 498*b102*b411 + 3486*b102*
    b412 + 14940*b102*b413 + 7802*b102*b414 + 4150*b102*b415 + 4980*b102*b416
     + 7138*b102*b417 + 16102*b102*b418 + 5478*b102*b419 + 5810*b102*b420 + 
    7826*b102*b421 + 7654*b102*b422 + 6880*b102*b423 + 3870*b102*b424 + 2752*
    b102*b425 + 3956*b102*b426 + 5074*b102*b428 + 1634*b102*b429 + 4988*b102*
    b430 + 688*b102*b431 + 258*b102*b433 + 1806*b102*b434 + 7740*b102*b435 + 
    4042*b102*b436 + 2150*b102*b437 + 2580*b102*b438 + 3698*b102*b439 + 8342*
    b102*b440 + 2838*b102*b441 + 3010*b102*b442 + 4732*b102*b443 + 4628*b102*
    b444 + 4160*b102*b445 + 2340*b102*b446 + 1664*b102*b447 + 2392*b102*b448 + 
    3068*b102*b450 + 988*b102*b451 + 3016*b102*b452 + 416*b102*b453 + 156*b102*
    b455 + 1092*b102*b456 + 4680*b102*b457 + 2444*b102*b458 + 1300*b102*b459 + 
    1560*b102*b460 + 2236*b102*b461 + 5044*b102*b462 + 1716*b102*b463 + 1820*
    b102*b464 + 14742*b102*b465 + 14418*b102*b466 + 12960*b102*b467 + 7290*b102
    *b468 + 5184*b102*b469 + 7452*b102*b470 + 9558*b102*b472 + 3078*b102*b473
     + 9396*b102*b474 + 1296*b102*b475 + 486*b102*b477 + 3402*b102*b478 + 14580
    *b102*b479 + 7614*b102*b480 + 4050*b102*b481 + 4860*b102*b482 + 6966*b102*
    b483 + 15714*b102*b484 + 5346*b102*b485 + 5670*b102*b486 + 7098*b102*b487
     + 6942*b102*b488 + 6240*b102*b489 + 3510*b102*b490 + 2496*b102*b491 + 3588
    *b102*b492 + 4602*b102*b494 + 1482*b102*b495 + 4524*b102*b496 + 624*b102*
    b497 + 234*b102*b499 + 1638*b102*b500 + 7020*b102*b501 + 3666*b102*b502 + 
    1950*b102*b503 + 2340*b102*b504 + 3354*b102*b505 + 7566*b102*b506 + 2574*
    b102*b507 + 2730*b102*b508 + 12012*b102*b509 + 11748*b102*b510 + 10560*b102
    *b511 + 5940*b102*b512 + 4224*b102*b513 + 6072*b102*b514 + 7788*b102*b516
     + 2508*b102*b517 + 7656*b102*b518 + 1056*b102*b519 + 396*b102*b521 + 2772*
    b102*b522 + 11880*b102*b523 + 6204*b102*b524 + 3300*b102*b525 + 3960*b102*
    b526 + 5676*b102*b527 + 12804*b102*b528 + 4356*b102*b529 + 4620*b102*b530
     + 4752*b102*b531 + 4860*b102*b532 + 6588*b102*b533 + 2376*b102*b534 + 2430
    *b102*b535 + 3294*b102*b536 + 1056*b102*b537 + 1080*b102*b538 + 1464*b102*
    b539 + 88*b102*b543 + 90*b102*b544 + 122*b102*b545 + 3872*b102*b546 + 3960*
    b102*b547 + 5368*b102*b548 + 2816*b102*b549 + 2880*b102*b550 + 3904*b102*
    b551 + 264*b102*b552 + 270*b102*b553 + 366*b102*b554 + 6336*b102*b555 + 
    6480*b102*b556 + 8784*b102*b557 + 8712*b102*b558 + 8910*b102*b559 + 12078*
    b102*b560 + 2992*b102*b561 + 3060*b102*b562 + 4148*b102*b563 + 3960*b102*
    b564 + 4050*b102*b565 + 5490*b102*b566 + 1584*b102*b567 + 1620*b102*b568 + 
    2196*b102*b569 + 8448*b102*b570 + 8640*b102*b571 + 11712*b102*b572 + 7216*
    b102*b573 + 7380*b102*b574 + 10004*b102*b575 + 6952*b102*b576 + 7110*b102*
    b577 + 9638*b102*b578 + 6600*b102*b579 + 6750*b102*b580 + 9150*b102*b581 + 
    7304*b102*b582 + 7470*b102*b583 + 10126*b102*b584 + 3784*b102*b585 + 3870*
    b102*b586 + 5246*b102*b587 + 2288*b102*b588 + 2340*b102*b589 + 3172*b102*
    b590 + 7128*b102*b591 + 7290*b102*b592 + 9882*b102*b593 + 3432*b102*b594 + 
    3510*b102*b595 + 4758*b102*b596 + 5808*b102*b597 + 5940*b102*b598 + 8052*
    b102*b599 + 17266*b102*b600 + 15520*b102*b601 + 8730*b102*b602 + 6208*b102*
    b603 + 8924*b102*b604 + 11446*b102*b606 + 3686*b102*b607 + 11252*b102*b608
     + 1552*b102*b609 + 582*b102*b611 + 4074*b102*b612 + 17460*b102*b613 + 8730
    *b102*b614 + 9118*b102*b615 + 4850*b102*b616 + 5820*b102*b617 + 8342*b102*
    b618 + 18818*b102*b619 + 6402*b102*b620 + 6790*b102*b621 + 11834*b102*b622
     + 17654*b102*b623 + 3080*b102*b624 + 3150*b102*b625 + 4270*b102*b626 + 118
    *b103*b113 + 152*b103*b114 + 116*b103*b115 + 130*b103*b116 + 174*b103*b117
     + 26*b103*b118 + 124*b103*b119 + 98*b103*b120 + 170*b103*b121 + 34*b103*
    b122 + 102*b103*b123 + 6*b103*b124 + 84*b103*b126 + 72*b103*b127 + 14*b103*
    b128 + 168*b103*b129 + 12*b103*b130 + 96*b103*b133 + 124*b103*b134 + 5192*
    b103*b135 + 6688*b103*b136 + 5104*b103*b137 + 5720*b103*b138 + 7656*b103*
    b139 + 1144*b103*b140 + 5456*b103*b141 + 4312*b103*b142 + 7480*b103*b143 + 
    1496*b103*b144 + 4488*b103*b145 + 264*b103*b146 + 3696*b103*b148 + 3168*
    b103*b149 + 616*b103*b150 + 7392*b103*b151 + 528*b103*b152 + 4224*b103*b155
     + 5456*b103*b156 + 3776*b103*b157 + 4864*b103*b158 + 3712*b103*b159 + 4160
    *b103*b160 + 5568*b103*b161 + 832*b103*b162 + 3968*b103*b163 + 3136*b103*
    b164 + 5440*b103*b165 + 1088*b103*b166 + 3264*b103*b167 + 192*b103*b168 + 
    2688*b103*b170 + 2304*b103*b171 + 448*b103*b172 + 5376*b103*b173 + 384*b103
    *b174 + 3072*b103*b177 + 3968*b103*b178 + 354*b103*b179 + 456*b103*b180 + 
    348*b103*b181 + 390*b103*b182 + 522*b103*b183 + 78*b103*b184 + 372*b103*
    b185 + 294*b103*b186 + 510*b103*b187 + 102*b103*b188 + 306*b103*b189 + 18*
    b103*b190 + 252*b103*b192 + 216*b103*b193 + 42*b103*b194 + 504*b103*b195 + 
    36*b103*b196 + 288*b103*b199 + 372*b103*b200 + 8496*b103*b201 + 10944*b103*
    b202 + 8352*b103*b203 + 9360*b103*b204 + 12528*b103*b205 + 1872*b103*b206
     + 8928*b103*b207 + 7056*b103*b208 + 12240*b103*b209 + 2448*b103*b210 + 
    7344*b103*b211 + 432*b103*b212 + 6048*b103*b214 + 5184*b103*b215 + 1008*
    b103*b216 + 12096*b103*b217 + 864*b103*b218 + 6912*b103*b221 + 8928*b103*
    b222 + 11682*b103*b223 + 15048*b103*b224 + 11484*b103*b225 + 12870*b103*
    b226 + 17226*b103*b227 + 2574*b103*b228 + 12276*b103*b229 + 9702*b103*b230
     + 16830*b103*b231 + 3366*b103*b232 + 10098*b103*b233 + 594*b103*b234 + 
    8316*b103*b236 + 7128*b103*b237 + 1386*b103*b238 + 16632*b103*b239 + 1188*
    b103*b240 + 9504*b103*b243 + 12276*b103*b244 + 4012*b103*b245 + 5168*b103*
    b246 + 3944*b103*b247 + 4420*b103*b248 + 5916*b103*b249 + 884*b103*b250 + 
    4216*b103*b251 + 3332*b103*b252 + 5780*b103*b253 + 1156*b103*b254 + 3468*
    b103*b255 + 204*b103*b256 + 2856*b103*b258 + 2448*b103*b259 + 476*b103*b260
     + 5712*b103*b261 + 408*b103*b262 + 3264*b103*b265 + 4216*b103*b266 + 5310*
    b103*b267 + 6840*b103*b268 + 5220*b103*b269 + 5850*b103*b270 + 7830*b103*
    b271 + 1170*b103*b272 + 5580*b103*b273 + 4410*b103*b274 + 7650*b103*b275 + 
    1530*b103*b276 + 4590*b103*b277 + 270*b103*b278 + 3780*b103*b280 + 3240*
    b103*b281 + 630*b103*b282 + 7560*b103*b283 + 540*b103*b284 + 4320*b103*b287
     + 5580*b103*b288 + 2124*b103*b289 + 2736*b103*b290 + 2088*b103*b291 + 2340
    *b103*b292 + 3132*b103*b293 + 468*b103*b294 + 2232*b103*b295 + 1764*b103*
    b296 + 3060*b103*b297 + 612*b103*b298 + 1836*b103*b299 + 108*b103*b300 + 
    1512*b103*b302 + 1296*b103*b303 + 252*b103*b304 + 3024*b103*b305 + 216*b103
    *b306 + 1728*b103*b309 + 2232*b103*b310 + 11328*b103*b311 + 14592*b103*b312
     + 11136*b103*b313 + 12480*b103*b314 + 16704*b103*b315 + 2496*b103*b316 + 
    11904*b103*b317 + 9408*b103*b318 + 16320*b103*b319 + 3264*b103*b320 + 9792*
    b103*b321 + 576*b103*b322 + 8064*b103*b324 + 6912*b103*b325 + 1344*b103*
    b326 + 16128*b103*b327 + 1152*b103*b328 + 9216*b103*b331 + 11904*b103*b332
     + 9676*b103*b333 + 12464*b103*b334 + 9512*b103*b335 + 10660*b103*b336 + 
    14268*b103*b337 + 2132*b103*b338 + 10168*b103*b339 + 8036*b103*b340 + 13940
    *b103*b341 + 2788*b103*b342 + 8364*b103*b343 + 492*b103*b344 + 6888*b103*
    b346 + 5904*b103*b347 + 1148*b103*b348 + 13776*b103*b349 + 984*b103*b350 + 
    7872*b103*b353 + 10168*b103*b354 + 9322*b103*b355 + 12008*b103*b356 + 9164*
    b103*b357 + 10270*b103*b358 + 13746*b103*b359 + 2054*b103*b360 + 9796*b103*
    b361 + 7742*b103*b362 + 13430*b103*b363 + 2686*b103*b364 + 8058*b103*b365
     + 474*b103*b366 + 6636*b103*b368 + 5688*b103*b369 + 1106*b103*b370 + 13272
    *b103*b371 + 948*b103*b372 + 7584*b103*b375 + 9796*b103*b376 + 8850*b103*
    b377 + 11400*b103*b378 + 8700*b103*b379 + 9750*b103*b380 + 13050*b103*b381
     + 1950*b103*b382 + 9300*b103*b383 + 7350*b103*b384 + 12750*b103*b385 + 
    2550*b103*b386 + 7650*b103*b387 + 450*b103*b388 + 6300*b103*b390 + 5400*
    b103*b391 + 1050*b103*b392 + 12600*b103*b393 + 900*b103*b394 + 7200*b103*
    b397 + 9300*b103*b398 + 9794*b103*b399 + 12616*b103*b400 + 9628*b103*b401
     + 10790*b103*b402 + 14442*b103*b403 + 2158*b103*b404 + 10292*b103*b405 + 
    8134*b103*b406 + 14110*b103*b407 + 2822*b103*b408 + 8466*b103*b409 + 498*
    b103*b410 + 6972*b103*b412 + 5976*b103*b413 + 1162*b103*b414 + 13944*b103*
    b415 + 996*b103*b416 + 7968*b103*b419 + 10292*b103*b420 + 5074*b103*b421 + 
    6536*b103*b422 + 4988*b103*b423 + 5590*b103*b424 + 7482*b103*b425 + 1118*
    b103*b426 + 5332*b103*b427 + 4214*b103*b428 + 7310*b103*b429 + 1462*b103*
    b430 + 4386*b103*b431 + 258*b103*b432 + 3612*b103*b434 + 3096*b103*b435 + 
    602*b103*b436 + 7224*b103*b437 + 516*b103*b438 + 4128*b103*b441 + 5332*b103
    *b442 + 3068*b103*b443 + 3952*b103*b444 + 3016*b103*b445 + 3380*b103*b446
     + 4524*b103*b447 + 676*b103*b448 + 3224*b103*b449 + 2548*b103*b450 + 4420*
    b103*b451 + 884*b103*b452 + 2652*b103*b453 + 156*b103*b454 + 2184*b103*b456
     + 1872*b103*b457 + 364*b103*b458 + 4368*b103*b459 + 312*b103*b460 + 2496*
    b103*b463 + 3224*b103*b464 + 9558*b103*b465 + 12312*b103*b466 + 9396*b103*
    b467 + 10530*b103*b468 + 14094*b103*b469 + 2106*b103*b470 + 10044*b103*b471
     + 7938*b103*b472 + 13770*b103*b473 + 2754*b103*b474 + 8262*b103*b475 + 486
    *b103*b476 + 6804*b103*b478 + 5832*b103*b479 + 1134*b103*b480 + 13608*b103*
    b481 + 972*b103*b482 + 7776*b103*b485 + 10044*b103*b486 + 4602*b103*b487 + 
    5928*b103*b488 + 4524*b103*b489 + 5070*b103*b490 + 6786*b103*b491 + 1014*
    b103*b492 + 4836*b103*b493 + 3822*b103*b494 + 6630*b103*b495 + 1326*b103*
    b496 + 3978*b103*b497 + 234*b103*b498 + 3276*b103*b500 + 2808*b103*b501 + 
    546*b103*b502 + 6552*b103*b503 + 468*b103*b504 + 3744*b103*b507 + 4836*b103
    *b508 + 7788*b103*b509 + 10032*b103*b510 + 7656*b103*b511 + 8580*b103*b512
     + 11484*b103*b513 + 1716*b103*b514 + 8184*b103*b515 + 6468*b103*b516 + 
    11220*b103*b517 + 2244*b103*b518 + 6732*b103*b519 + 396*b103*b520 + 5544*
    b103*b522 + 4752*b103*b523 + 924*b103*b524 + 11088*b103*b525 + 792*b103*
    b526 + 6336*b103*b529 + 8184*b103*b530 + 4320*b103*b531 + 4644*b103*b532 + 
    6372*b103*b533 + 2160*b103*b534 + 2322*b103*b535 + 3186*b103*b536 + 960*
    b103*b537 + 1032*b103*b538 + 1416*b103*b539 + 80*b103*b543 + 86*b103*b544
     + 118*b103*b545 + 3520*b103*b546 + 3784*b103*b547 + 5192*b103*b548 + 2560*
    b103*b549 + 2752*b103*b550 + 3776*b103*b551 + 240*b103*b552 + 258*b103*b553
     + 354*b103*b554 + 5760*b103*b555 + 6192*b103*b556 + 8496*b103*b557 + 7920*
    b103*b558 + 8514*b103*b559 + 11682*b103*b560 + 2720*b103*b561 + 2924*b103*
    b562 + 4012*b103*b563 + 3600*b103*b564 + 3870*b103*b565 + 5310*b103*b566 + 
    1440*b103*b567 + 1548*b103*b568 + 2124*b103*b569 + 7680*b103*b570 + 8256*
    b103*b571 + 11328*b103*b572 + 6560*b103*b573 + 7052*b103*b574 + 9676*b103*
    b575 + 6320*b103*b576 + 6794*b103*b577 + 9322*b103*b578 + 6000*b103*b579 + 
    6450*b103*b580 + 8850*b103*b581 + 6640*b103*b582 + 7138*b103*b583 + 9794*
    b103*b584 + 3440*b103*b585 + 3698*b103*b586 + 5074*b103*b587 + 2080*b103*
    b588 + 2236*b103*b589 + 3068*b103*b590 + 6480*b103*b591 + 6966*b103*b592 + 
    9558*b103*b593 + 3120*b103*b594 + 3354*b103*b595 + 4602*b103*b596 + 5280*
    b103*b597 + 5676*b103*b598 + 7788*b103*b599 + 14744*b103*b600 + 11252*b103*
    b601 + 12610*b103*b602 + 16878*b103*b603 + 2522*b103*b604 + 12028*b103*b605
     + 9506*b103*b606 + 16490*b103*b607 + 3298*b103*b608 + 9894*b103*b609 + 582
    *b103*b610 + 8148*b103*b612 + 6984*b103*b613 + 8342*b103*b614 + 1358*b103*
    b615 + 16296*b103*b616 + 1164*b103*b617 + 9312*b103*b620 + 12028*b103*b621
     + 11446*b103*b622 + 11446*b103*b623 + 2800*b103*b624 + 3010*b103*b625 + 
    4130*b103*b626 + 36*b104*b113 + 152*b104*b114 + 42*b104*b115 + 80*b104*b116
     + 134*b104*b117 + 40*b104*b118 + 82*b104*b119 + 170*b104*b120 + 104*b104*
    b121 + 136*b104*b122 + 2*b104*b123 + 42*b104*b124 + 84*b104*b125 + 58*b104*
    b127 + 164*b104*b128 + 58*b104*b129 + 6*b104*b130 + 6*b104*b131 + 102*b104*
    b132 + 134*b104*b133 + 78*b104*b134 + 1584*b104*b135 + 6688*b104*b136 + 
    1848*b104*b137 + 3520*b104*b138 + 5896*b104*b139 + 1760*b104*b140 + 3608*
    b104*b141 + 7480*b104*b142 + 4576*b104*b143 + 5984*b104*b144 + 88*b104*b145
     + 1848*b104*b146 + 3696*b104*b147 + 2552*b104*b149 + 7216*b104*b150 + 2552
    *b104*b151 + 264*b104*b152 + 264*b104*b153 + 4488*b104*b154 + 5896*b104*
    b155 + 3432*b104*b156 + 1152*b104*b157 + 4864*b104*b158 + 1344*b104*b159 + 
    2560*b104*b160 + 4288*b104*b161 + 1280*b104*b162 + 2624*b104*b163 + 5440*
    b104*b164 + 3328*b104*b165 + 4352*b104*b166 + 64*b104*b167 + 1344*b104*b168
     + 2688*b104*b169 + 1856*b104*b171 + 5248*b104*b172 + 1856*b104*b173 + 192*
    b104*b174 + 192*b104*b175 + 3264*b104*b176 + 4288*b104*b177 + 2496*b104*
    b178 + 108*b104*b179 + 456*b104*b180 + 126*b104*b181 + 240*b104*b182 + 402*
    b104*b183 + 120*b104*b184 + 246*b104*b185 + 510*b104*b186 + 312*b104*b187
     + 408*b104*b188 + 6*b104*b189 + 126*b104*b190 + 252*b104*b191 + 174*b104*
    b193 + 492*b104*b194 + 174*b104*b195 + 18*b104*b196 + 18*b104*b197 + 306*
    b104*b198 + 402*b104*b199 + 234*b104*b200 + 2592*b104*b201 + 10944*b104*
    b202 + 3024*b104*b203 + 5760*b104*b204 + 9648*b104*b205 + 2880*b104*b206 + 
    5904*b104*b207 + 12240*b104*b208 + 7488*b104*b209 + 9792*b104*b210 + 144*
    b104*b211 + 3024*b104*b212 + 6048*b104*b213 + 4176*b104*b215 + 11808*b104*
    b216 + 4176*b104*b217 + 432*b104*b218 + 432*b104*b219 + 7344*b104*b220 + 
    9648*b104*b221 + 5616*b104*b222 + 3564*b104*b223 + 15048*b104*b224 + 4158*
    b104*b225 + 7920*b104*b226 + 13266*b104*b227 + 3960*b104*b228 + 8118*b104*
    b229 + 16830*b104*b230 + 10296*b104*b231 + 13464*b104*b232 + 198*b104*b233
     + 4158*b104*b234 + 8316*b104*b235 + 5742*b104*b237 + 16236*b104*b238 + 
    5742*b104*b239 + 594*b104*b240 + 594*b104*b241 + 10098*b104*b242 + 13266*
    b104*b243 + 7722*b104*b244 + 1224*b104*b245 + 5168*b104*b246 + 1428*b104*
    b247 + 2720*b104*b248 + 4556*b104*b249 + 1360*b104*b250 + 2788*b104*b251 + 
    5780*b104*b252 + 3536*b104*b253 + 4624*b104*b254 + 68*b104*b255 + 1428*b104
    *b256 + 2856*b104*b257 + 1972*b104*b259 + 5576*b104*b260 + 1972*b104*b261
     + 204*b104*b262 + 204*b104*b263 + 3468*b104*b264 + 4556*b104*b265 + 2652*
    b104*b266 + 1620*b104*b267 + 6840*b104*b268 + 1890*b104*b269 + 3600*b104*
    b270 + 6030*b104*b271 + 1800*b104*b272 + 3690*b104*b273 + 7650*b104*b274 + 
    4680*b104*b275 + 6120*b104*b276 + 90*b104*b277 + 1890*b104*b278 + 3780*b104
    *b279 + 2610*b104*b281 + 7380*b104*b282 + 2610*b104*b283 + 270*b104*b284 + 
    270*b104*b285 + 4590*b104*b286 + 6030*b104*b287 + 3510*b104*b288 + 648*b104
    *b289 + 2736*b104*b290 + 756*b104*b291 + 1440*b104*b292 + 2412*b104*b293 + 
    720*b104*b294 + 1476*b104*b295 + 3060*b104*b296 + 1872*b104*b297 + 2448*
    b104*b298 + 36*b104*b299 + 756*b104*b300 + 1512*b104*b301 + 1044*b104*b303
     + 2952*b104*b304 + 1044*b104*b305 + 108*b104*b306 + 108*b104*b307 + 1836*
    b104*b308 + 2412*b104*b309 + 1404*b104*b310 + 3456*b104*b311 + 14592*b104*
    b312 + 4032*b104*b313 + 7680*b104*b314 + 12864*b104*b315 + 3840*b104*b316
     + 7872*b104*b317 + 16320*b104*b318 + 9984*b104*b319 + 13056*b104*b320 + 
    192*b104*b321 + 4032*b104*b322 + 8064*b104*b323 + 5568*b104*b325 + 15744*
    b104*b326 + 5568*b104*b327 + 576*b104*b328 + 576*b104*b329 + 9792*b104*b330
     + 12864*b104*b331 + 7488*b104*b332 + 2952*b104*b333 + 12464*b104*b334 + 
    3444*b104*b335 + 6560*b104*b336 + 10988*b104*b337 + 3280*b104*b338 + 6724*
    b104*b339 + 13940*b104*b340 + 8528*b104*b341 + 11152*b104*b342 + 164*b104*
    b343 + 3444*b104*b344 + 6888*b104*b345 + 4756*b104*b347 + 13448*b104*b348
     + 4756*b104*b349 + 492*b104*b350 + 492*b104*b351 + 8364*b104*b352 + 10988*
    b104*b353 + 6396*b104*b354 + 2844*b104*b355 + 12008*b104*b356 + 3318*b104*
    b357 + 6320*b104*b358 + 10586*b104*b359 + 3160*b104*b360 + 6478*b104*b361
     + 13430*b104*b362 + 8216*b104*b363 + 10744*b104*b364 + 158*b104*b365 + 
    3318*b104*b366 + 6636*b104*b367 + 4582*b104*b369 + 12956*b104*b370 + 4582*
    b104*b371 + 474*b104*b372 + 474*b104*b373 + 8058*b104*b374 + 10586*b104*
    b375 + 6162*b104*b376 + 2700*b104*b377 + 11400*b104*b378 + 3150*b104*b379
     + 6000*b104*b380 + 10050*b104*b381 + 3000*b104*b382 + 6150*b104*b383 + 
    12750*b104*b384 + 7800*b104*b385 + 10200*b104*b386 + 150*b104*b387 + 3150*
    b104*b388 + 6300*b104*b389 + 4350*b104*b391 + 12300*b104*b392 + 4350*b104*
    b393 + 450*b104*b394 + 450*b104*b395 + 7650*b104*b396 + 10050*b104*b397 + 
    5850*b104*b398 + 2988*b104*b399 + 12616*b104*b400 + 3486*b104*b401 + 6640*
    b104*b402 + 11122*b104*b403 + 3320*b104*b404 + 6806*b104*b405 + 14110*b104*
    b406 + 8632*b104*b407 + 11288*b104*b408 + 166*b104*b409 + 3486*b104*b410 + 
    6972*b104*b411 + 4814*b104*b413 + 13612*b104*b414 + 4814*b104*b415 + 498*
    b104*b416 + 498*b104*b417 + 8466*b104*b418 + 11122*b104*b419 + 6474*b104*
    b420 + 1548*b104*b421 + 6536*b104*b422 + 1806*b104*b423 + 3440*b104*b424 + 
    5762*b104*b425 + 1720*b104*b426 + 3526*b104*b427 + 7310*b104*b428 + 4472*
    b104*b429 + 5848*b104*b430 + 86*b104*b431 + 1806*b104*b432 + 3612*b104*b433
     + 2494*b104*b435 + 7052*b104*b436 + 2494*b104*b437 + 258*b104*b438 + 258*
    b104*b439 + 4386*b104*b440 + 5762*b104*b441 + 3354*b104*b442 + 936*b104*
    b443 + 3952*b104*b444 + 1092*b104*b445 + 2080*b104*b446 + 3484*b104*b447 + 
    1040*b104*b448 + 2132*b104*b449 + 4420*b104*b450 + 2704*b104*b451 + 3536*
    b104*b452 + 52*b104*b453 + 1092*b104*b454 + 2184*b104*b455 + 1508*b104*b457
     + 4264*b104*b458 + 1508*b104*b459 + 156*b104*b460 + 156*b104*b461 + 2652*
    b104*b462 + 3484*b104*b463 + 2028*b104*b464 + 2916*b104*b465 + 12312*b104*
    b466 + 3402*b104*b467 + 6480*b104*b468 + 10854*b104*b469 + 3240*b104*b470
     + 6642*b104*b471 + 13770*b104*b472 + 8424*b104*b473 + 11016*b104*b474 + 
    162*b104*b475 + 3402*b104*b476 + 6804*b104*b477 + 4698*b104*b479 + 13284*
    b104*b480 + 4698*b104*b481 + 486*b104*b482 + 486*b104*b483 + 8262*b104*b484
     + 10854*b104*b485 + 6318*b104*b486 + 1404*b104*b487 + 5928*b104*b488 + 
    1638*b104*b489 + 3120*b104*b490 + 5226*b104*b491 + 1560*b104*b492 + 3198*
    b104*b493 + 6630*b104*b494 + 4056*b104*b495 + 5304*b104*b496 + 78*b104*b497
     + 1638*b104*b498 + 3276*b104*b499 + 2262*b104*b501 + 6396*b104*b502 + 2262
    *b104*b503 + 234*b104*b504 + 234*b104*b505 + 3978*b104*b506 + 5226*b104*
    b507 + 3042*b104*b508 + 2376*b104*b509 + 10032*b104*b510 + 2772*b104*b511
     + 5280*b104*b512 + 8844*b104*b513 + 2640*b104*b514 + 5412*b104*b515 + 
    11220*b104*b516 + 6864*b104*b517 + 8976*b104*b518 + 132*b104*b519 + 2772*
    b104*b520 + 5544*b104*b521 + 3828*b104*b523 + 10824*b104*b524 + 3828*b104*
    b525 + 396*b104*b526 + 396*b104*b527 + 6732*b104*b528 + 8844*b104*b529 + 
    5148*b104*b530 + 8100*b104*b531 + 10152*b104*b532 + 1620*b104*b533 + 4050*
    b104*b534 + 5076*b104*b535 + 810*b104*b536 + 1800*b104*b537 + 2256*b104*
    b538 + 360*b104*b539 + 150*b104*b543 + 188*b104*b544 + 30*b104*b545 + 6600*
    b104*b546 + 8272*b104*b547 + 1320*b104*b548 + 4800*b104*b549 + 6016*b104*
    b550 + 960*b104*b551 + 450*b104*b552 + 564*b104*b553 + 90*b104*b554 + 10800
    *b104*b555 + 13536*b104*b556 + 2160*b104*b557 + 14850*b104*b558 + 18612*
    b104*b559 + 2970*b104*b560 + 5100*b104*b561 + 6392*b104*b562 + 1020*b104*
    b563 + 6750*b104*b564 + 8460*b104*b565 + 1350*b104*b566 + 2700*b104*b567 + 
    3384*b104*b568 + 540*b104*b569 + 14400*b104*b570 + 18048*b104*b571 + 2880*
    b104*b572 + 12300*b104*b573 + 15416*b104*b574 + 2460*b104*b575 + 11850*b104
    *b576 + 14852*b104*b577 + 2370*b104*b578 + 11250*b104*b579 + 14100*b104*
    b580 + 2250*b104*b581 + 12450*b104*b582 + 15604*b104*b583 + 2490*b104*b584
     + 6450*b104*b585 + 8084*b104*b586 + 1290*b104*b587 + 3900*b104*b588 + 4888
    *b104*b589 + 780*b104*b590 + 12150*b104*b591 + 15228*b104*b592 + 2430*b104*
    b593 + 5850*b104*b594 + 7332*b104*b595 + 1170*b104*b596 + 9900*b104*b597 + 
    12408*b104*b598 + 1980*b104*b599 + 14744*b104*b600 + 4074*b104*b601 + 7760*
    b104*b602 + 12998*b104*b603 + 3880*b104*b604 + 7954*b104*b605 + 16490*b104*
    b606 + 10088*b104*b607 + 13192*b104*b608 + 194*b104*b609 + 4074*b104*b610
     + 8148*b104*b611 + 5626*b104*b613 + 18236*b104*b614 + 15908*b104*b615 + 
    5626*b104*b616 + 582*b104*b617 + 582*b104*b618 + 9894*b104*b619 + 12998*
    b104*b620 + 7566*b104*b621 + 2910*b104*b622 + 3492*b104*b623 + 5250*b104*
    b624 + 6580*b104*b625 + 1050*b104*b626 + 152*b105*b113 + 80*b105*b114 + 152
    *b105*b115 + 108*b105*b116 + 188*b105*b117 + 172*b105*b118 + 124*b105*b119
     + 168*b105*b120 + 68*b105*b121 + 54*b105*b122 + 182*b105*b123 + 180*b105*
    b124 + 72*b105*b125 + 58*b105*b126 + 84*b105*b128 + 46*b105*b129 + 124*b105
    *b130 + 124*b105*b131 + 56*b105*b132 + 152*b105*b133 + 132*b105*b134 + 6688
    *b105*b135 + 3520*b105*b136 + 6688*b105*b137 + 4752*b105*b138 + 8272*b105*
    b139 + 7568*b105*b140 + 5456*b105*b141 + 7392*b105*b142 + 2992*b105*b143 + 
    2376*b105*b144 + 8008*b105*b145 + 7920*b105*b146 + 3168*b105*b147 + 2552*
    b105*b148 + 3696*b105*b150 + 2024*b105*b151 + 5456*b105*b152 + 5456*b105*
    b153 + 2464*b105*b154 + 6688*b105*b155 + 5808*b105*b156 + 4864*b105*b157 + 
    2560*b105*b158 + 4864*b105*b159 + 3456*b105*b160 + 6016*b105*b161 + 5504*
    b105*b162 + 3968*b105*b163 + 5376*b105*b164 + 2176*b105*b165 + 1728*b105*
    b166 + 5824*b105*b167 + 5760*b105*b168 + 2304*b105*b169 + 1856*b105*b170 + 
    2688*b105*b172 + 1472*b105*b173 + 3968*b105*b174 + 3968*b105*b175 + 1792*
    b105*b176 + 4864*b105*b177 + 4224*b105*b178 + 456*b105*b179 + 240*b105*b180
     + 456*b105*b181 + 324*b105*b182 + 564*b105*b183 + 516*b105*b184 + 372*b105
    *b185 + 504*b105*b186 + 204*b105*b187 + 162*b105*b188 + 546*b105*b189 + 540
    *b105*b190 + 216*b105*b191 + 174*b105*b192 + 252*b105*b194 + 138*b105*b195
     + 372*b105*b196 + 372*b105*b197 + 168*b105*b198 + 456*b105*b199 + 396*b105
    *b200 + 10944*b105*b201 + 5760*b105*b202 + 10944*b105*b203 + 7776*b105*b204
     + 13536*b105*b205 + 12384*b105*b206 + 8928*b105*b207 + 12096*b105*b208 + 
    4896*b105*b209 + 3888*b105*b210 + 13104*b105*b211 + 12960*b105*b212 + 5184*
    b105*b213 + 4176*b105*b214 + 6048*b105*b216 + 3312*b105*b217 + 8928*b105*
    b218 + 8928*b105*b219 + 4032*b105*b220 + 10944*b105*b221 + 9504*b105*b222
     + 15048*b105*b223 + 7920*b105*b224 + 15048*b105*b225 + 10692*b105*b226 + 
    18612*b105*b227 + 17028*b105*b228 + 12276*b105*b229 + 16632*b105*b230 + 
    6732*b105*b231 + 5346*b105*b232 + 18018*b105*b233 + 17820*b105*b234 + 7128*
    b105*b235 + 5742*b105*b236 + 8316*b105*b238 + 4554*b105*b239 + 12276*b105*
    b240 + 12276*b105*b241 + 5544*b105*b242 + 15048*b105*b243 + 13068*b105*b244
     + 5168*b105*b245 + 2720*b105*b246 + 5168*b105*b247 + 3672*b105*b248 + 6392
    *b105*b249 + 5848*b105*b250 + 4216*b105*b251 + 5712*b105*b252 + 2312*b105*
    b253 + 1836*b105*b254 + 6188*b105*b255 + 6120*b105*b256 + 2448*b105*b257 + 
    1972*b105*b258 + 2856*b105*b260 + 1564*b105*b261 + 4216*b105*b262 + 4216*
    b105*b263 + 1904*b105*b264 + 5168*b105*b265 + 4488*b105*b266 + 6840*b105*
    b267 + 3600*b105*b268 + 6840*b105*b269 + 4860*b105*b270 + 8460*b105*b271 + 
    7740*b105*b272 + 5580*b105*b273 + 7560*b105*b274 + 3060*b105*b275 + 2430*
    b105*b276 + 8190*b105*b277 + 8100*b105*b278 + 3240*b105*b279 + 2610*b105*
    b280 + 3780*b105*b282 + 2070*b105*b283 + 5580*b105*b284 + 5580*b105*b285 + 
    2520*b105*b286 + 6840*b105*b287 + 5940*b105*b288 + 2736*b105*b289 + 1440*
    b105*b290 + 2736*b105*b291 + 1944*b105*b292 + 3384*b105*b293 + 3096*b105*
    b294 + 2232*b105*b295 + 3024*b105*b296 + 1224*b105*b297 + 972*b105*b298 + 
    3276*b105*b299 + 3240*b105*b300 + 1296*b105*b301 + 1044*b105*b302 + 1512*
    b105*b304 + 828*b105*b305 + 2232*b105*b306 + 2232*b105*b307 + 1008*b105*
    b308 + 2736*b105*b309 + 2376*b105*b310 + 14592*b105*b311 + 7680*b105*b312
     + 14592*b105*b313 + 10368*b105*b314 + 18048*b105*b315 + 16512*b105*b316 + 
    11904*b105*b317 + 16128*b105*b318 + 6528*b105*b319 + 5184*b105*b320 + 17472
    *b105*b321 + 17280*b105*b322 + 6912*b105*b323 + 5568*b105*b324 + 8064*b105*
    b326 + 4416*b105*b327 + 11904*b105*b328 + 11904*b105*b329 + 5376*b105*b330
     + 14592*b105*b331 + 12672*b105*b332 + 12464*b105*b333 + 6560*b105*b334 + 
    12464*b105*b335 + 8856*b105*b336 + 15416*b105*b337 + 14104*b105*b338 + 
    10168*b105*b339 + 13776*b105*b340 + 5576*b105*b341 + 4428*b105*b342 + 14924
    *b105*b343 + 14760*b105*b344 + 5904*b105*b345 + 4756*b105*b346 + 6888*b105*
    b348 + 3772*b105*b349 + 10168*b105*b350 + 10168*b105*b351 + 4592*b105*b352
     + 12464*b105*b353 + 10824*b105*b354 + 12008*b105*b355 + 6320*b105*b356 + 
    12008*b105*b357 + 8532*b105*b358 + 14852*b105*b359 + 13588*b105*b360 + 9796
    *b105*b361 + 13272*b105*b362 + 5372*b105*b363 + 4266*b105*b364 + 14378*b105
    *b365 + 14220*b105*b366 + 5688*b105*b367 + 4582*b105*b368 + 6636*b105*b370
     + 3634*b105*b371 + 9796*b105*b372 + 9796*b105*b373 + 4424*b105*b374 + 
    12008*b105*b375 + 10428*b105*b376 + 11400*b105*b377 + 6000*b105*b378 + 
    11400*b105*b379 + 8100*b105*b380 + 14100*b105*b381 + 12900*b105*b382 + 9300
    *b105*b383 + 12600*b105*b384 + 5100*b105*b385 + 4050*b105*b386 + 13650*b105
    *b387 + 13500*b105*b388 + 5400*b105*b389 + 4350*b105*b390 + 6300*b105*b392
     + 3450*b105*b393 + 9300*b105*b394 + 9300*b105*b395 + 4200*b105*b396 + 
    11400*b105*b397 + 9900*b105*b398 + 12616*b105*b399 + 6640*b105*b400 + 12616
    *b105*b401 + 8964*b105*b402 + 15604*b105*b403 + 14276*b105*b404 + 10292*
    b105*b405 + 13944*b105*b406 + 5644*b105*b407 + 4482*b105*b408 + 15106*b105*
    b409 + 14940*b105*b410 + 5976*b105*b411 + 4814*b105*b412 + 6972*b105*b414
     + 3818*b105*b415 + 10292*b105*b416 + 10292*b105*b417 + 4648*b105*b418 + 
    12616*b105*b419 + 10956*b105*b420 + 6536*b105*b421 + 3440*b105*b422 + 6536*
    b105*b423 + 4644*b105*b424 + 8084*b105*b425 + 7396*b105*b426 + 5332*b105*
    b427 + 7224*b105*b428 + 2924*b105*b429 + 2322*b105*b430 + 7826*b105*b431 + 
    7740*b105*b432 + 3096*b105*b433 + 2494*b105*b434 + 3612*b105*b436 + 1978*
    b105*b437 + 5332*b105*b438 + 5332*b105*b439 + 2408*b105*b440 + 6536*b105*
    b441 + 5676*b105*b442 + 3952*b105*b443 + 2080*b105*b444 + 3952*b105*b445 + 
    2808*b105*b446 + 4888*b105*b447 + 4472*b105*b448 + 3224*b105*b449 + 4368*
    b105*b450 + 1768*b105*b451 + 1404*b105*b452 + 4732*b105*b453 + 4680*b105*
    b454 + 1872*b105*b455 + 1508*b105*b456 + 2184*b105*b458 + 1196*b105*b459 + 
    3224*b105*b460 + 3224*b105*b461 + 1456*b105*b462 + 3952*b105*b463 + 3432*
    b105*b464 + 12312*b105*b465 + 6480*b105*b466 + 12312*b105*b467 + 8748*b105*
    b468 + 15228*b105*b469 + 13932*b105*b470 + 10044*b105*b471 + 13608*b105*
    b472 + 5508*b105*b473 + 4374*b105*b474 + 14742*b105*b475 + 14580*b105*b476
     + 5832*b105*b477 + 4698*b105*b478 + 6804*b105*b480 + 3726*b105*b481 + 
    10044*b105*b482 + 10044*b105*b483 + 4536*b105*b484 + 12312*b105*b485 + 
    10692*b105*b486 + 5928*b105*b487 + 3120*b105*b488 + 5928*b105*b489 + 4212*
    b105*b490 + 7332*b105*b491 + 6708*b105*b492 + 4836*b105*b493 + 6552*b105*
    b494 + 2652*b105*b495 + 2106*b105*b496 + 7098*b105*b497 + 7020*b105*b498 + 
    2808*b105*b499 + 2262*b105*b500 + 3276*b105*b502 + 1794*b105*b503 + 4836*
    b105*b504 + 4836*b105*b505 + 2184*b105*b506 + 5928*b105*b507 + 5148*b105*
    b508 + 10032*b105*b509 + 5280*b105*b510 + 10032*b105*b511 + 7128*b105*b512
     + 12408*b105*b513 + 11352*b105*b514 + 8184*b105*b515 + 11088*b105*b516 + 
    4488*b105*b517 + 3564*b105*b518 + 12012*b105*b519 + 11880*b105*b520 + 4752*
    b105*b521 + 3828*b105*b522 + 5544*b105*b524 + 3036*b105*b525 + 8184*b105*
    b526 + 8184*b105*b527 + 3696*b105*b528 + 10032*b105*b529 + 8712*b105*b530
     + 8532*b105*b531 + 7128*b105*b532 + 8856*b105*b533 + 4266*b105*b534 + 3564
    *b105*b535 + 4428*b105*b536 + 1896*b105*b537 + 1584*b105*b538 + 1968*b105*
    b539 + 158*b105*b543 + 132*b105*b544 + 164*b105*b545 + 6952*b105*b546 + 
    5808*b105*b547 + 7216*b105*b548 + 5056*b105*b549 + 4224*b105*b550 + 5248*
    b105*b551 + 474*b105*b552 + 396*b105*b553 + 492*b105*b554 + 11376*b105*b555
     + 9504*b105*b556 + 11808*b105*b557 + 15642*b105*b558 + 13068*b105*b559 + 
    16236*b105*b560 + 5372*b105*b561 + 4488*b105*b562 + 5576*b105*b563 + 7110*
    b105*b564 + 5940*b105*b565 + 7380*b105*b566 + 2844*b105*b567 + 2376*b105*
    b568 + 2952*b105*b569 + 15168*b105*b570 + 12672*b105*b571 + 15744*b105*b572
     + 12956*b105*b573 + 10824*b105*b574 + 13448*b105*b575 + 12482*b105*b576 + 
    10428*b105*b577 + 12956*b105*b578 + 11850*b105*b579 + 9900*b105*b580 + 
    12300*b105*b581 + 13114*b105*b582 + 10956*b105*b583 + 13612*b105*b584 + 
    6794*b105*b585 + 5676*b105*b586 + 7052*b105*b587 + 4108*b105*b588 + 3432*
    b105*b589 + 4264*b105*b590 + 12798*b105*b591 + 10692*b105*b592 + 13284*b105
    *b593 + 6162*b105*b594 + 5148*b105*b595 + 6396*b105*b596 + 10428*b105*b597
     + 8712*b105*b598 + 10824*b105*b599 + 7760*b105*b600 + 14744*b105*b601 + 
    10476*b105*b602 + 18236*b105*b603 + 16684*b105*b604 + 12028*b105*b605 + 
    16296*b105*b606 + 6596*b105*b607 + 5238*b105*b608 + 17654*b105*b609 + 17460
    *b105*b610 + 6984*b105*b611 + 5626*b105*b612 + 12804*b105*b614 + 8148*b105*
    b615 + 4462*b105*b616 + 12028*b105*b617 + 12028*b105*b618 + 5432*b105*b619
     + 14744*b105*b620 + 12804*b105*b621 + 15908*b105*b622 + 14744*b105*b623 + 
    5530*b105*b624 + 4620*b105*b625 + 5740*b105*b626 + 36*b106*b113 + 112*b106*
    b114 + 88*b106*b115 + 28*b106*b116 + 4*b106*b117 + 154*b106*b118 + 50*b106*
    b119 + 76*b106*b120 + 80*b106*b121 + 12*b106*b122 + 174*b106*b123 + 94*b106
    *b124 + 14*b106*b125 + 164*b106*b126 + 84*b106*b127 + 172*b106*b129 + 120*
    b106*b130 + 124*b106*b131 + 124*b106*b132 + 166*b106*b133 + 182*b106*b134
     + 1584*b106*b135 + 4928*b106*b136 + 3872*b106*b137 + 1232*b106*b138 + 176*
    b106*b139 + 6776*b106*b140 + 2200*b106*b141 + 3344*b106*b142 + 3520*b106*
    b143 + 528*b106*b144 + 7656*b106*b145 + 4136*b106*b146 + 616*b106*b147 + 
    7216*b106*b148 + 3696*b106*b149 + 7568*b106*b151 + 5280*b106*b152 + 5456*
    b106*b153 + 5456*b106*b154 + 7304*b106*b155 + 8008*b106*b156 + 1152*b106*
    b157 + 3584*b106*b158 + 2816*b106*b159 + 896*b106*b160 + 128*b106*b161 + 
    4928*b106*b162 + 1600*b106*b163 + 2432*b106*b164 + 2560*b106*b165 + 384*
    b106*b166 + 5568*b106*b167 + 3008*b106*b168 + 448*b106*b169 + 5248*b106*
    b170 + 2688*b106*b171 + 5504*b106*b173 + 3840*b106*b174 + 3968*b106*b175 + 
    3968*b106*b176 + 5312*b106*b177 + 5824*b106*b178 + 108*b106*b179 + 336*b106
    *b180 + 264*b106*b181 + 84*b106*b182 + 12*b106*b183 + 462*b106*b184 + 150*
    b106*b185 + 228*b106*b186 + 240*b106*b187 + 36*b106*b188 + 522*b106*b189 + 
    282*b106*b190 + 42*b106*b191 + 492*b106*b192 + 252*b106*b193 + 516*b106*
    b195 + 360*b106*b196 + 372*b106*b197 + 372*b106*b198 + 498*b106*b199 + 546*
    b106*b200 + 2592*b106*b201 + 8064*b106*b202 + 6336*b106*b203 + 2016*b106*
    b204 + 288*b106*b205 + 11088*b106*b206 + 3600*b106*b207 + 5472*b106*b208 + 
    5760*b106*b209 + 864*b106*b210 + 12528*b106*b211 + 6768*b106*b212 + 1008*
    b106*b213 + 11808*b106*b214 + 6048*b106*b215 + 12384*b106*b217 + 8640*b106*
    b218 + 8928*b106*b219 + 8928*b106*b220 + 11952*b106*b221 + 13104*b106*b222
     + 3564*b106*b223 + 11088*b106*b224 + 8712*b106*b225 + 2772*b106*b226 + 396
    *b106*b227 + 15246*b106*b228 + 4950*b106*b229 + 7524*b106*b230 + 7920*b106*
    b231 + 1188*b106*b232 + 17226*b106*b233 + 9306*b106*b234 + 1386*b106*b235
     + 16236*b106*b236 + 8316*b106*b237 + 17028*b106*b239 + 11880*b106*b240 + 
    12276*b106*b241 + 12276*b106*b242 + 16434*b106*b243 + 18018*b106*b244 + 
    1224*b106*b245 + 3808*b106*b246 + 2992*b106*b247 + 952*b106*b248 + 136*b106
    *b249 + 5236*b106*b250 + 1700*b106*b251 + 2584*b106*b252 + 2720*b106*b253
     + 408*b106*b254 + 5916*b106*b255 + 3196*b106*b256 + 476*b106*b257 + 5576*
    b106*b258 + 2856*b106*b259 + 5848*b106*b261 + 4080*b106*b262 + 4216*b106*
    b263 + 4216*b106*b264 + 5644*b106*b265 + 6188*b106*b266 + 1620*b106*b267 + 
    5040*b106*b268 + 3960*b106*b269 + 1260*b106*b270 + 180*b106*b271 + 6930*
    b106*b272 + 2250*b106*b273 + 3420*b106*b274 + 3600*b106*b275 + 540*b106*
    b276 + 7830*b106*b277 + 4230*b106*b278 + 630*b106*b279 + 7380*b106*b280 + 
    3780*b106*b281 + 7740*b106*b283 + 5400*b106*b284 + 5580*b106*b285 + 5580*
    b106*b286 + 7470*b106*b287 + 8190*b106*b288 + 648*b106*b289 + 2016*b106*
    b290 + 1584*b106*b291 + 504*b106*b292 + 72*b106*b293 + 2772*b106*b294 + 900
    *b106*b295 + 1368*b106*b296 + 1440*b106*b297 + 216*b106*b298 + 3132*b106*
    b299 + 1692*b106*b300 + 252*b106*b301 + 2952*b106*b302 + 1512*b106*b303 + 
    3096*b106*b305 + 2160*b106*b306 + 2232*b106*b307 + 2232*b106*b308 + 2988*
    b106*b309 + 3276*b106*b310 + 3456*b106*b311 + 10752*b106*b312 + 8448*b106*
    b313 + 2688*b106*b314 + 384*b106*b315 + 14784*b106*b316 + 4800*b106*b317 + 
    7296*b106*b318 + 7680*b106*b319 + 1152*b106*b320 + 16704*b106*b321 + 9024*
    b106*b322 + 1344*b106*b323 + 15744*b106*b324 + 8064*b106*b325 + 16512*b106*
    b327 + 11520*b106*b328 + 11904*b106*b329 + 11904*b106*b330 + 15936*b106*
    b331 + 17472*b106*b332 + 2952*b106*b333 + 9184*b106*b334 + 7216*b106*b335
     + 2296*b106*b336 + 328*b106*b337 + 12628*b106*b338 + 4100*b106*b339 + 6232
    *b106*b340 + 6560*b106*b341 + 984*b106*b342 + 14268*b106*b343 + 7708*b106*
    b344 + 1148*b106*b345 + 13448*b106*b346 + 6888*b106*b347 + 14104*b106*b349
     + 9840*b106*b350 + 10168*b106*b351 + 10168*b106*b352 + 13612*b106*b353 + 
    14924*b106*b354 + 2844*b106*b355 + 8848*b106*b356 + 6952*b106*b357 + 2212*
    b106*b358 + 316*b106*b359 + 12166*b106*b360 + 3950*b106*b361 + 6004*b106*
    b362 + 6320*b106*b363 + 948*b106*b364 + 13746*b106*b365 + 7426*b106*b366 + 
    1106*b106*b367 + 12956*b106*b368 + 6636*b106*b369 + 13588*b106*b371 + 9480*
    b106*b372 + 9796*b106*b373 + 9796*b106*b374 + 13114*b106*b375 + 14378*b106*
    b376 + 2700*b106*b377 + 8400*b106*b378 + 6600*b106*b379 + 2100*b106*b380 + 
    300*b106*b381 + 11550*b106*b382 + 3750*b106*b383 + 5700*b106*b384 + 6000*
    b106*b385 + 900*b106*b386 + 13050*b106*b387 + 7050*b106*b388 + 1050*b106*
    b389 + 12300*b106*b390 + 6300*b106*b391 + 12900*b106*b393 + 9000*b106*b394
     + 9300*b106*b395 + 9300*b106*b396 + 12450*b106*b397 + 13650*b106*b398 + 
    2988*b106*b399 + 9296*b106*b400 + 7304*b106*b401 + 2324*b106*b402 + 332*
    b106*b403 + 12782*b106*b404 + 4150*b106*b405 + 6308*b106*b406 + 6640*b106*
    b407 + 996*b106*b408 + 14442*b106*b409 + 7802*b106*b410 + 1162*b106*b411 + 
    13612*b106*b412 + 6972*b106*b413 + 14276*b106*b415 + 9960*b106*b416 + 10292
    *b106*b417 + 10292*b106*b418 + 13778*b106*b419 + 15106*b106*b420 + 1548*
    b106*b421 + 4816*b106*b422 + 3784*b106*b423 + 1204*b106*b424 + 172*b106*
    b425 + 6622*b106*b426 + 2150*b106*b427 + 3268*b106*b428 + 3440*b106*b429 + 
    516*b106*b430 + 7482*b106*b431 + 4042*b106*b432 + 602*b106*b433 + 7052*b106
    *b434 + 3612*b106*b435 + 7396*b106*b437 + 5160*b106*b438 + 5332*b106*b439
     + 5332*b106*b440 + 7138*b106*b441 + 7826*b106*b442 + 936*b106*b443 + 2912*
    b106*b444 + 2288*b106*b445 + 728*b106*b446 + 104*b106*b447 + 4004*b106*b448
     + 1300*b106*b449 + 1976*b106*b450 + 2080*b106*b451 + 312*b106*b452 + 4524*
    b106*b453 + 2444*b106*b454 + 364*b106*b455 + 4264*b106*b456 + 2184*b106*
    b457 + 4472*b106*b459 + 3120*b106*b460 + 3224*b106*b461 + 3224*b106*b462 + 
    4316*b106*b463 + 4732*b106*b464 + 2916*b106*b465 + 9072*b106*b466 + 7128*
    b106*b467 + 2268*b106*b468 + 324*b106*b469 + 12474*b106*b470 + 4050*b106*
    b471 + 6156*b106*b472 + 6480*b106*b473 + 972*b106*b474 + 14094*b106*b475 + 
    7614*b106*b476 + 1134*b106*b477 + 13284*b106*b478 + 6804*b106*b479 + 13932*
    b106*b481 + 9720*b106*b482 + 10044*b106*b483 + 10044*b106*b484 + 13446*b106
    *b485 + 14742*b106*b486 + 1404*b106*b487 + 4368*b106*b488 + 3432*b106*b489
     + 1092*b106*b490 + 156*b106*b491 + 6006*b106*b492 + 1950*b106*b493 + 2964*
    b106*b494 + 3120*b106*b495 + 468*b106*b496 + 6786*b106*b497 + 3666*b106*
    b498 + 546*b106*b499 + 6396*b106*b500 + 3276*b106*b501 + 6708*b106*b503 + 
    4680*b106*b504 + 4836*b106*b505 + 4836*b106*b506 + 6474*b106*b507 + 7098*
    b106*b508 + 2376*b106*b509 + 7392*b106*b510 + 5808*b106*b511 + 1848*b106*
    b512 + 264*b106*b513 + 10164*b106*b514 + 3300*b106*b515 + 5016*b106*b516 + 
    5280*b106*b517 + 792*b106*b518 + 11484*b106*b519 + 6204*b106*b520 + 924*
    b106*b521 + 10824*b106*b522 + 5544*b106*b523 + 11352*b106*b525 + 7920*b106*
    b526 + 8184*b106*b527 + 8184*b106*b528 + 10956*b106*b529 + 12012*b106*b530
     + 9612*b106*b531 + 10584*b106*b532 + 6156*b106*b533 + 4806*b106*b534 + 
    5292*b106*b535 + 3078*b106*b536 + 2136*b106*b537 + 2352*b106*b538 + 1368*
    b106*b539 + 178*b106*b543 + 196*b106*b544 + 114*b106*b545 + 7832*b106*b546
     + 8624*b106*b547 + 5016*b106*b548 + 5696*b106*b549 + 6272*b106*b550 + 3648
    *b106*b551 + 534*b106*b552 + 588*b106*b553 + 342*b106*b554 + 12816*b106*
    b555 + 14112*b106*b556 + 8208*b106*b557 + 17622*b106*b558 + 19404*b106*b559
     + 11286*b106*b560 + 6052*b106*b561 + 6664*b106*b562 + 3876*b106*b563 + 
    8010*b106*b564 + 8820*b106*b565 + 5130*b106*b566 + 3204*b106*b567 + 3528*
    b106*b568 + 2052*b106*b569 + 17088*b106*b570 + 18816*b106*b571 + 10944*b106
    *b572 + 14596*b106*b573 + 16072*b106*b574 + 9348*b106*b575 + 14062*b106*
    b576 + 15484*b106*b577 + 9006*b106*b578 + 13350*b106*b579 + 14700*b106*b580
     + 8550*b106*b581 + 14774*b106*b582 + 16268*b106*b583 + 9462*b106*b584 + 
    7654*b106*b585 + 8428*b106*b586 + 4902*b106*b587 + 4628*b106*b588 + 5096*
    b106*b589 + 2964*b106*b590 + 14418*b106*b591 + 15876*b106*b592 + 9234*b106*
    b593 + 6942*b106*b594 + 7644*b106*b595 + 4446*b106*b596 + 11748*b106*b597
     + 12936*b106*b598 + 7524*b106*b599 + 10864*b106*b600 + 8536*b106*b601 + 
    2716*b106*b602 + 388*b106*b603 + 14938*b106*b604 + 4850*b106*b605 + 7372*
    b106*b606 + 7760*b106*b607 + 1164*b106*b608 + 16878*b106*b609 + 9118*b106*
    b610 + 1358*b106*b611 + 15908*b106*b612 + 8148*b106*b613 + 19012*b106*b614
     + 16684*b106*b616 + 11640*b106*b617 + 12028*b106*b618 + 12028*b106*b619 + 
    16102*b106*b620 + 17654*b106*b621 + 11058*b106*b622 + 3492*b106*b623 + 6230
    *b106*b624 + 6860*b106*b625 + 3990*b106*b626 + 114*b107*b113 + 2*b107*b114
     + 170*b107*b115 + 142*b107*b116 + 20*b107*b117 + 30*b107*b118 + 150*b107*
    b119 + 82*b107*b120 + 138*b107*b121 + 134*b107*b122 + 144*b107*b123 + 50*
    b107*b124 + 168*b107*b125 + 58*b107*b126 + 46*b107*b127 + 172*b107*b128 + 
    124*b107*b130 + 72*b107*b131 + 4*b107*b132 + 4*b107*b133 + 86*b107*b134 + 
    5016*b107*b135 + 88*b107*b136 + 7480*b107*b137 + 6248*b107*b138 + 880*b107*
    b139 + 1320*b107*b140 + 6600*b107*b141 + 3608*b107*b142 + 6072*b107*b143 + 
    5896*b107*b144 + 6336*b107*b145 + 2200*b107*b146 + 7392*b107*b147 + 2552*
    b107*b148 + 2024*b107*b149 + 7568*b107*b150 + 5456*b107*b152 + 3168*b107*
    b153 + 176*b107*b154 + 176*b107*b155 + 3784*b107*b156 + 3648*b107*b157 + 64
    *b107*b158 + 5440*b107*b159 + 4544*b107*b160 + 640*b107*b161 + 960*b107*
    b162 + 4800*b107*b163 + 2624*b107*b164 + 4416*b107*b165 + 4288*b107*b166 + 
    4608*b107*b167 + 1600*b107*b168 + 5376*b107*b169 + 1856*b107*b170 + 1472*
    b107*b171 + 5504*b107*b172 + 3968*b107*b174 + 2304*b107*b175 + 128*b107*
    b176 + 128*b107*b177 + 2752*b107*b178 + 342*b107*b179 + 6*b107*b180 + 510*
    b107*b181 + 426*b107*b182 + 60*b107*b183 + 90*b107*b184 + 450*b107*b185 + 
    246*b107*b186 + 414*b107*b187 + 402*b107*b188 + 432*b107*b189 + 150*b107*
    b190 + 504*b107*b191 + 174*b107*b192 + 138*b107*b193 + 516*b107*b194 + 372*
    b107*b196 + 216*b107*b197 + 12*b107*b198 + 12*b107*b199 + 258*b107*b200 + 
    8208*b107*b201 + 144*b107*b202 + 12240*b107*b203 + 10224*b107*b204 + 1440*
    b107*b205 + 2160*b107*b206 + 10800*b107*b207 + 5904*b107*b208 + 9936*b107*
    b209 + 9648*b107*b210 + 10368*b107*b211 + 3600*b107*b212 + 12096*b107*b213
     + 4176*b107*b214 + 3312*b107*b215 + 12384*b107*b216 + 8928*b107*b218 + 
    5184*b107*b219 + 288*b107*b220 + 288*b107*b221 + 6192*b107*b222 + 11286*
    b107*b223 + 198*b107*b224 + 16830*b107*b225 + 14058*b107*b226 + 1980*b107*
    b227 + 2970*b107*b228 + 14850*b107*b229 + 8118*b107*b230 + 13662*b107*b231
     + 13266*b107*b232 + 14256*b107*b233 + 4950*b107*b234 + 16632*b107*b235 + 
    5742*b107*b236 + 4554*b107*b237 + 17028*b107*b238 + 12276*b107*b240 + 7128*
    b107*b241 + 396*b107*b242 + 396*b107*b243 + 8514*b107*b244 + 3876*b107*b245
     + 68*b107*b246 + 5780*b107*b247 + 4828*b107*b248 + 680*b107*b249 + 1020*
    b107*b250 + 5100*b107*b251 + 2788*b107*b252 + 4692*b107*b253 + 4556*b107*
    b254 + 4896*b107*b255 + 1700*b107*b256 + 5712*b107*b257 + 1972*b107*b258 + 
    1564*b107*b259 + 5848*b107*b260 + 4216*b107*b262 + 2448*b107*b263 + 136*
    b107*b264 + 136*b107*b265 + 2924*b107*b266 + 5130*b107*b267 + 90*b107*b268
     + 7650*b107*b269 + 6390*b107*b270 + 900*b107*b271 + 1350*b107*b272 + 6750*
    b107*b273 + 3690*b107*b274 + 6210*b107*b275 + 6030*b107*b276 + 6480*b107*
    b277 + 2250*b107*b278 + 7560*b107*b279 + 2610*b107*b280 + 2070*b107*b281 + 
    7740*b107*b282 + 5580*b107*b284 + 3240*b107*b285 + 180*b107*b286 + 180*b107
    *b287 + 3870*b107*b288 + 2052*b107*b289 + 36*b107*b290 + 3060*b107*b291 + 
    2556*b107*b292 + 360*b107*b293 + 540*b107*b294 + 2700*b107*b295 + 1476*b107
    *b296 + 2484*b107*b297 + 2412*b107*b298 + 2592*b107*b299 + 900*b107*b300 + 
    3024*b107*b301 + 1044*b107*b302 + 828*b107*b303 + 3096*b107*b304 + 2232*
    b107*b306 + 1296*b107*b307 + 72*b107*b308 + 72*b107*b309 + 1548*b107*b310
     + 10944*b107*b311 + 192*b107*b312 + 16320*b107*b313 + 13632*b107*b314 + 
    1920*b107*b315 + 2880*b107*b316 + 14400*b107*b317 + 7872*b107*b318 + 13248*
    b107*b319 + 12864*b107*b320 + 13824*b107*b321 + 4800*b107*b322 + 16128*b107
    *b323 + 5568*b107*b324 + 4416*b107*b325 + 16512*b107*b326 + 11904*b107*b328
     + 6912*b107*b329 + 384*b107*b330 + 384*b107*b331 + 8256*b107*b332 + 9348*
    b107*b333 + 164*b107*b334 + 13940*b107*b335 + 11644*b107*b336 + 1640*b107*
    b337 + 2460*b107*b338 + 12300*b107*b339 + 6724*b107*b340 + 11316*b107*b341
     + 10988*b107*b342 + 11808*b107*b343 + 4100*b107*b344 + 13776*b107*b345 + 
    4756*b107*b346 + 3772*b107*b347 + 14104*b107*b348 + 10168*b107*b350 + 5904*
    b107*b351 + 328*b107*b352 + 328*b107*b353 + 7052*b107*b354 + 9006*b107*b355
     + 158*b107*b356 + 13430*b107*b357 + 11218*b107*b358 + 1580*b107*b359 + 
    2370*b107*b360 + 11850*b107*b361 + 6478*b107*b362 + 10902*b107*b363 + 10586
    *b107*b364 + 11376*b107*b365 + 3950*b107*b366 + 13272*b107*b367 + 4582*b107
    *b368 + 3634*b107*b369 + 13588*b107*b370 + 9796*b107*b372 + 5688*b107*b373
     + 316*b107*b374 + 316*b107*b375 + 6794*b107*b376 + 8550*b107*b377 + 150*
    b107*b378 + 12750*b107*b379 + 10650*b107*b380 + 1500*b107*b381 + 2250*b107*
    b382 + 11250*b107*b383 + 6150*b107*b384 + 10350*b107*b385 + 10050*b107*b386
     + 10800*b107*b387 + 3750*b107*b388 + 12600*b107*b389 + 4350*b107*b390 + 
    3450*b107*b391 + 12900*b107*b392 + 9300*b107*b394 + 5400*b107*b395 + 300*
    b107*b396 + 300*b107*b397 + 6450*b107*b398 + 9462*b107*b399 + 166*b107*b400
     + 14110*b107*b401 + 11786*b107*b402 + 1660*b107*b403 + 2490*b107*b404 + 
    12450*b107*b405 + 6806*b107*b406 + 11454*b107*b407 + 11122*b107*b408 + 
    11952*b107*b409 + 4150*b107*b410 + 13944*b107*b411 + 4814*b107*b412 + 3818*
    b107*b413 + 14276*b107*b414 + 10292*b107*b416 + 5976*b107*b417 + 332*b107*
    b418 + 332*b107*b419 + 7138*b107*b420 + 4902*b107*b421 + 86*b107*b422 + 
    7310*b107*b423 + 6106*b107*b424 + 860*b107*b425 + 1290*b107*b426 + 6450*
    b107*b427 + 3526*b107*b428 + 5934*b107*b429 + 5762*b107*b430 + 6192*b107*
    b431 + 2150*b107*b432 + 7224*b107*b433 + 2494*b107*b434 + 1978*b107*b435 + 
    7396*b107*b436 + 5332*b107*b438 + 3096*b107*b439 + 172*b107*b440 + 172*b107
    *b441 + 3698*b107*b442 + 2964*b107*b443 + 52*b107*b444 + 4420*b107*b445 + 
    3692*b107*b446 + 520*b107*b447 + 780*b107*b448 + 3900*b107*b449 + 2132*b107
    *b450 + 3588*b107*b451 + 3484*b107*b452 + 3744*b107*b453 + 1300*b107*b454
     + 4368*b107*b455 + 1508*b107*b456 + 1196*b107*b457 + 4472*b107*b458 + 3224
    *b107*b460 + 1872*b107*b461 + 104*b107*b462 + 104*b107*b463 + 2236*b107*
    b464 + 9234*b107*b465 + 162*b107*b466 + 13770*b107*b467 + 11502*b107*b468
     + 1620*b107*b469 + 2430*b107*b470 + 12150*b107*b471 + 6642*b107*b472 + 
    11178*b107*b473 + 10854*b107*b474 + 11664*b107*b475 + 4050*b107*b476 + 
    13608*b107*b477 + 4698*b107*b478 + 3726*b107*b479 + 13932*b107*b480 + 10044
    *b107*b482 + 5832*b107*b483 + 324*b107*b484 + 324*b107*b485 + 6966*b107*
    b486 + 4446*b107*b487 + 78*b107*b488 + 6630*b107*b489 + 5538*b107*b490 + 
    780*b107*b491 + 1170*b107*b492 + 5850*b107*b493 + 3198*b107*b494 + 5382*
    b107*b495 + 5226*b107*b496 + 5616*b107*b497 + 1950*b107*b498 + 6552*b107*
    b499 + 2262*b107*b500 + 1794*b107*b501 + 6708*b107*b502 + 4836*b107*b504 + 
    2808*b107*b505 + 156*b107*b506 + 156*b107*b507 + 3354*b107*b508 + 7524*b107
    *b509 + 132*b107*b510 + 11220*b107*b511 + 9372*b107*b512 + 1320*b107*b513
     + 1980*b107*b514 + 9900*b107*b515 + 5412*b107*b516 + 9108*b107*b517 + 8844
    *b107*b518 + 9504*b107*b519 + 3300*b107*b520 + 11088*b107*b521 + 3828*b107*
    b522 + 3036*b107*b523 + 11352*b107*b524 + 8184*b107*b526 + 4752*b107*b527
     + 264*b107*b528 + 264*b107*b529 + 5676*b107*b530 + 3780*b107*b531 + 3780*
    b107*b532 + 7020*b107*b533 + 1890*b107*b534 + 1890*b107*b535 + 3510*b107*
    b536 + 840*b107*b537 + 840*b107*b538 + 1560*b107*b539 + 70*b107*b543 + 70*
    b107*b544 + 130*b107*b545 + 3080*b107*b546 + 3080*b107*b547 + 5720*b107*
    b548 + 2240*b107*b549 + 2240*b107*b550 + 4160*b107*b551 + 210*b107*b552 + 
    210*b107*b553 + 390*b107*b554 + 5040*b107*b555 + 5040*b107*b556 + 9360*b107
    *b557 + 6930*b107*b558 + 6930*b107*b559 + 12870*b107*b560 + 2380*b107*b561
     + 2380*b107*b562 + 4420*b107*b563 + 3150*b107*b564 + 3150*b107*b565 + 5850
    *b107*b566 + 1260*b107*b567 + 1260*b107*b568 + 2340*b107*b569 + 6720*b107*
    b570 + 6720*b107*b571 + 12480*b107*b572 + 5740*b107*b573 + 5740*b107*b574
     + 10660*b107*b575 + 5530*b107*b576 + 5530*b107*b577 + 10270*b107*b578 + 
    5250*b107*b579 + 5250*b107*b580 + 9750*b107*b581 + 5810*b107*b582 + 5810*
    b107*b583 + 10790*b107*b584 + 3010*b107*b585 + 3010*b107*b586 + 5590*b107*
    b587 + 1820*b107*b588 + 1820*b107*b589 + 3380*b107*b590 + 5670*b107*b591 + 
    5670*b107*b592 + 10530*b107*b593 + 2730*b107*b594 + 2730*b107*b595 + 5070*
    b107*b596 + 4620*b107*b597 + 4620*b107*b598 + 8580*b107*b599 + 194*b107*
    b600 + 16490*b107*b601 + 13774*b107*b602 + 1940*b107*b603 + 2910*b107*b604
     + 14550*b107*b605 + 7954*b107*b606 + 13386*b107*b607 + 12998*b107*b608 + 
    13968*b107*b609 + 4850*b107*b610 + 16296*b107*b611 + 5626*b107*b612 + 4462*
    b107*b613 + 6790*b107*b614 + 16684*b107*b615 + 12028*b107*b617 + 6984*b107*
    b618 + 388*b107*b619 + 388*b107*b620 + 8342*b107*b621 + 12610*b107*b622 + 
    11058*b107*b623 + 2450*b107*b624 + 2450*b107*b625 + 4550*b107*b626 + 72*
    b108*b113 + 100*b108*b114 + 188*b108*b115 + 154*b108*b116 + 198*b108*b117
     + 178*b108*b118 + 152*b108*b119 + 112*b108*b120 + 24*b108*b121 + 52*b108*
    b122 + 90*b108*b123 + 60*b108*b124 + 12*b108*b125 + 6*b108*b126 + 124*b108*
    b127 + 120*b108*b128 + 124*b108*b129 + 74*b108*b131 + 98*b108*b132 + 122*
    b108*b133 + 10*b108*b134 + 3168*b108*b135 + 4400*b108*b136 + 8272*b108*b137
     + 6776*b108*b138 + 8712*b108*b139 + 7832*b108*b140 + 6688*b108*b141 + 4928
    *b108*b142 + 1056*b108*b143 + 2288*b108*b144 + 3960*b108*b145 + 2640*b108*
    b146 + 528*b108*b147 + 264*b108*b148 + 5456*b108*b149 + 5280*b108*b150 + 
    5456*b108*b151 + 3256*b108*b153 + 4312*b108*b154 + 5368*b108*b155 + 440*
    b108*b156 + 2304*b108*b157 + 3200*b108*b158 + 6016*b108*b159 + 4928*b108*
    b160 + 6336*b108*b161 + 5696*b108*b162 + 4864*b108*b163 + 3584*b108*b164 + 
    768*b108*b165 + 1664*b108*b166 + 2880*b108*b167 + 1920*b108*b168 + 384*b108
    *b169 + 192*b108*b170 + 3968*b108*b171 + 3840*b108*b172 + 3968*b108*b173 + 
    2368*b108*b175 + 3136*b108*b176 + 3904*b108*b177 + 320*b108*b178 + 216*b108
    *b179 + 300*b108*b180 + 564*b108*b181 + 462*b108*b182 + 594*b108*b183 + 534
    *b108*b184 + 456*b108*b185 + 336*b108*b186 + 72*b108*b187 + 156*b108*b188
     + 270*b108*b189 + 180*b108*b190 + 36*b108*b191 + 18*b108*b192 + 372*b108*
    b193 + 360*b108*b194 + 372*b108*b195 + 222*b108*b197 + 294*b108*b198 + 366*
    b108*b199 + 30*b108*b200 + 5184*b108*b201 + 7200*b108*b202 + 13536*b108*
    b203 + 11088*b108*b204 + 14256*b108*b205 + 12816*b108*b206 + 10944*b108*
    b207 + 8064*b108*b208 + 1728*b108*b209 + 3744*b108*b210 + 6480*b108*b211 + 
    4320*b108*b212 + 864*b108*b213 + 432*b108*b214 + 8928*b108*b215 + 8640*b108
    *b216 + 8928*b108*b217 + 5328*b108*b219 + 7056*b108*b220 + 8784*b108*b221
     + 720*b108*b222 + 7128*b108*b223 + 9900*b108*b224 + 18612*b108*b225 + 
    15246*b108*b226 + 19602*b108*b227 + 17622*b108*b228 + 15048*b108*b229 + 
    11088*b108*b230 + 2376*b108*b231 + 5148*b108*b232 + 8910*b108*b233 + 5940*
    b108*b234 + 1188*b108*b235 + 594*b108*b236 + 12276*b108*b237 + 11880*b108*
    b238 + 12276*b108*b239 + 7326*b108*b241 + 9702*b108*b242 + 12078*b108*b243
     + 990*b108*b244 + 2448*b108*b245 + 3400*b108*b246 + 6392*b108*b247 + 5236*
    b108*b248 + 6732*b108*b249 + 6052*b108*b250 + 5168*b108*b251 + 3808*b108*
    b252 + 816*b108*b253 + 1768*b108*b254 + 3060*b108*b255 + 2040*b108*b256 + 
    408*b108*b257 + 204*b108*b258 + 4216*b108*b259 + 4080*b108*b260 + 4216*b108
    *b261 + 2516*b108*b263 + 3332*b108*b264 + 4148*b108*b265 + 340*b108*b266 + 
    3240*b108*b267 + 4500*b108*b268 + 8460*b108*b269 + 6930*b108*b270 + 8910*
    b108*b271 + 8010*b108*b272 + 6840*b108*b273 + 5040*b108*b274 + 1080*b108*
    b275 + 2340*b108*b276 + 4050*b108*b277 + 2700*b108*b278 + 540*b108*b279 + 
    270*b108*b280 + 5580*b108*b281 + 5400*b108*b282 + 5580*b108*b283 + 3330*
    b108*b285 + 4410*b108*b286 + 5490*b108*b287 + 450*b108*b288 + 1296*b108*
    b289 + 1800*b108*b290 + 3384*b108*b291 + 2772*b108*b292 + 3564*b108*b293 + 
    3204*b108*b294 + 2736*b108*b295 + 2016*b108*b296 + 432*b108*b297 + 936*b108
    *b298 + 1620*b108*b299 + 1080*b108*b300 + 216*b108*b301 + 108*b108*b302 + 
    2232*b108*b303 + 2160*b108*b304 + 2232*b108*b305 + 1332*b108*b307 + 1764*
    b108*b308 + 2196*b108*b309 + 180*b108*b310 + 6912*b108*b311 + 9600*b108*
    b312 + 18048*b108*b313 + 14784*b108*b314 + 19008*b108*b315 + 17088*b108*
    b316 + 14592*b108*b317 + 10752*b108*b318 + 2304*b108*b319 + 4992*b108*b320
     + 8640*b108*b321 + 5760*b108*b322 + 1152*b108*b323 + 576*b108*b324 + 11904
    *b108*b325 + 11520*b108*b326 + 11904*b108*b327 + 7104*b108*b329 + 9408*b108
    *b330 + 11712*b108*b331 + 960*b108*b332 + 5904*b108*b333 + 8200*b108*b334
     + 15416*b108*b335 + 12628*b108*b336 + 16236*b108*b337 + 14596*b108*b338 + 
    12464*b108*b339 + 9184*b108*b340 + 1968*b108*b341 + 4264*b108*b342 + 7380*
    b108*b343 + 4920*b108*b344 + 984*b108*b345 + 492*b108*b346 + 10168*b108*
    b347 + 9840*b108*b348 + 10168*b108*b349 + 6068*b108*b351 + 8036*b108*b352
     + 10004*b108*b353 + 820*b108*b354 + 5688*b108*b355 + 7900*b108*b356 + 
    14852*b108*b357 + 12166*b108*b358 + 15642*b108*b359 + 14062*b108*b360 + 
    12008*b108*b361 + 8848*b108*b362 + 1896*b108*b363 + 4108*b108*b364 + 7110*
    b108*b365 + 4740*b108*b366 + 948*b108*b367 + 474*b108*b368 + 9796*b108*b369
     + 9480*b108*b370 + 9796*b108*b371 + 5846*b108*b373 + 7742*b108*b374 + 9638
    *b108*b375 + 790*b108*b376 + 5400*b108*b377 + 7500*b108*b378 + 14100*b108*
    b379 + 11550*b108*b380 + 14850*b108*b381 + 13350*b108*b382 + 11400*b108*
    b383 + 8400*b108*b384 + 1800*b108*b385 + 3900*b108*b386 + 6750*b108*b387 + 
    4500*b108*b388 + 900*b108*b389 + 450*b108*b390 + 9300*b108*b391 + 9000*b108
    *b392 + 9300*b108*b393 + 5550*b108*b395 + 7350*b108*b396 + 9150*b108*b397
     + 750*b108*b398 + 5976*b108*b399 + 8300*b108*b400 + 15604*b108*b401 + 
    12782*b108*b402 + 16434*b108*b403 + 14774*b108*b404 + 12616*b108*b405 + 
    9296*b108*b406 + 1992*b108*b407 + 4316*b108*b408 + 7470*b108*b409 + 4980*
    b108*b410 + 996*b108*b411 + 498*b108*b412 + 10292*b108*b413 + 9960*b108*
    b414 + 10292*b108*b415 + 6142*b108*b417 + 8134*b108*b418 + 10126*b108*b419
     + 830*b108*b420 + 3096*b108*b421 + 4300*b108*b422 + 8084*b108*b423 + 6622*
    b108*b424 + 8514*b108*b425 + 7654*b108*b426 + 6536*b108*b427 + 4816*b108*
    b428 + 1032*b108*b429 + 2236*b108*b430 + 3870*b108*b431 + 2580*b108*b432 + 
    516*b108*b433 + 258*b108*b434 + 5332*b108*b435 + 5160*b108*b436 + 5332*b108
    *b437 + 3182*b108*b439 + 4214*b108*b440 + 5246*b108*b441 + 430*b108*b442 + 
    1872*b108*b443 + 2600*b108*b444 + 4888*b108*b445 + 4004*b108*b446 + 5148*
    b108*b447 + 4628*b108*b448 + 3952*b108*b449 + 2912*b108*b450 + 624*b108*
    b451 + 1352*b108*b452 + 2340*b108*b453 + 1560*b108*b454 + 312*b108*b455 + 
    156*b108*b456 + 3224*b108*b457 + 3120*b108*b458 + 3224*b108*b459 + 1924*
    b108*b461 + 2548*b108*b462 + 3172*b108*b463 + 260*b108*b464 + 5832*b108*
    b465 + 8100*b108*b466 + 15228*b108*b467 + 12474*b108*b468 + 16038*b108*b469
     + 14418*b108*b470 + 12312*b108*b471 + 9072*b108*b472 + 1944*b108*b473 + 
    4212*b108*b474 + 7290*b108*b475 + 4860*b108*b476 + 972*b108*b477 + 486*b108
    *b478 + 10044*b108*b479 + 9720*b108*b480 + 10044*b108*b481 + 5994*b108*b483
     + 7938*b108*b484 + 9882*b108*b485 + 810*b108*b486 + 2808*b108*b487 + 3900*
    b108*b488 + 7332*b108*b489 + 6006*b108*b490 + 7722*b108*b491 + 6942*b108*
    b492 + 5928*b108*b493 + 4368*b108*b494 + 936*b108*b495 + 2028*b108*b496 + 
    3510*b108*b497 + 2340*b108*b498 + 468*b108*b499 + 234*b108*b500 + 4836*b108
    *b501 + 4680*b108*b502 + 4836*b108*b503 + 2886*b108*b505 + 3822*b108*b506
     + 4758*b108*b507 + 390*b108*b508 + 4752*b108*b509 + 6600*b108*b510 + 12408
    *b108*b511 + 10164*b108*b512 + 13068*b108*b513 + 11748*b108*b514 + 10032*
    b108*b515 + 7392*b108*b516 + 1584*b108*b517 + 3432*b108*b518 + 5940*b108*
    b519 + 3960*b108*b520 + 792*b108*b521 + 396*b108*b522 + 8184*b108*b523 + 
    7920*b108*b524 + 8184*b108*b525 + 4884*b108*b527 + 6468*b108*b528 + 8052*
    b108*b529 + 660*b108*b530 + 972*b108*b531 + 1620*b108*b532 + 3672*b108*b533
     + 486*b108*b534 + 810*b108*b535 + 1836*b108*b536 + 216*b108*b537 + 360*
    b108*b538 + 816*b108*b539 + 18*b108*b543 + 30*b108*b544 + 68*b108*b545 + 
    792*b108*b546 + 1320*b108*b547 + 2992*b108*b548 + 576*b108*b549 + 960*b108*
    b550 + 2176*b108*b551 + 54*b108*b552 + 90*b108*b553 + 204*b108*b554 + 1296*
    b108*b555 + 2160*b108*b556 + 4896*b108*b557 + 1782*b108*b558 + 2970*b108*
    b559 + 6732*b108*b560 + 612*b108*b561 + 1020*b108*b562 + 2312*b108*b563 + 
    810*b108*b564 + 1350*b108*b565 + 3060*b108*b566 + 324*b108*b567 + 540*b108*
    b568 + 1224*b108*b569 + 1728*b108*b570 + 2880*b108*b571 + 6528*b108*b572 + 
    1476*b108*b573 + 2460*b108*b574 + 5576*b108*b575 + 1422*b108*b576 + 2370*
    b108*b577 + 5372*b108*b578 + 1350*b108*b579 + 2250*b108*b580 + 5100*b108*
    b581 + 1494*b108*b582 + 2490*b108*b583 + 5644*b108*b584 + 774*b108*b585 + 
    1290*b108*b586 + 2924*b108*b587 + 468*b108*b588 + 780*b108*b589 + 1768*b108
    *b590 + 1458*b108*b591 + 2430*b108*b592 + 5508*b108*b593 + 702*b108*b594 + 
    1170*b108*b595 + 2652*b108*b596 + 1188*b108*b597 + 1980*b108*b598 + 4488*
    b108*b599 + 9700*b108*b600 + 18236*b108*b601 + 14938*b108*b602 + 19206*b108
    *b603 + 17266*b108*b604 + 14744*b108*b605 + 10864*b108*b606 + 2328*b108*
    b607 + 5044*b108*b608 + 8730*b108*b609 + 5820*b108*b610 + 1164*b108*b611 + 
    582*b108*b612 + 12028*b108*b613 + 2910*b108*b614 + 11640*b108*b615 + 12028*
    b108*b616 + 7178*b108*b618 + 9506*b108*b619 + 11834*b108*b620 + 970*b108*
    b621 + 6596*b108*b622 + 6984*b108*b623 + 630*b108*b624 + 1050*b108*b625 + 
    2380*b108*b626 + 122*b109*b113 + 8*b109*b114 + 180*b109*b115 + 72*b109*b116
     + 112*b109*b117 + 96*b109*b118 + 80*b109*b119 + 78*b109*b120 + 170*b109*
    b121 + 164*b109*b122 + 192*b109*b123 + 86*b109*b124 + 6*b109*b126 + 124*
    b109*b127 + 124*b109*b128 + 72*b109*b129 + 74*b109*b130 + 106*b109*b132 + 
    192*b109*b133 + 164*b109*b134 + 5368*b109*b135 + 352*b109*b136 + 7920*b109*
    b137 + 3168*b109*b138 + 4928*b109*b139 + 4224*b109*b140 + 3520*b109*b141 + 
    3432*b109*b142 + 7480*b109*b143 + 7216*b109*b144 + 8448*b109*b145 + 3784*
    b109*b146 + 264*b109*b148 + 5456*b109*b149 + 5456*b109*b150 + 3168*b109*
    b151 + 3256*b109*b152 + 4664*b109*b154 + 8448*b109*b155 + 7216*b109*b156 + 
    3904*b109*b157 + 256*b109*b158 + 5760*b109*b159 + 2304*b109*b160 + 3584*
    b109*b161 + 3072*b109*b162 + 2560*b109*b163 + 2496*b109*b164 + 5440*b109*
    b165 + 5248*b109*b166 + 6144*b109*b167 + 2752*b109*b168 + 192*b109*b170 + 
    3968*b109*b171 + 3968*b109*b172 + 2304*b109*b173 + 2368*b109*b174 + 3392*
    b109*b176 + 6144*b109*b177 + 5248*b109*b178 + 366*b109*b179 + 24*b109*b180
     + 540*b109*b181 + 216*b109*b182 + 336*b109*b183 + 288*b109*b184 + 240*b109
    *b185 + 234*b109*b186 + 510*b109*b187 + 492*b109*b188 + 576*b109*b189 + 258
    *b109*b190 + 18*b109*b192 + 372*b109*b193 + 372*b109*b194 + 216*b109*b195
     + 222*b109*b196 + 318*b109*b198 + 576*b109*b199 + 492*b109*b200 + 8784*
    b109*b201 + 576*b109*b202 + 12960*b109*b203 + 5184*b109*b204 + 8064*b109*
    b205 + 6912*b109*b206 + 5760*b109*b207 + 5616*b109*b208 + 12240*b109*b209
     + 11808*b109*b210 + 13824*b109*b211 + 6192*b109*b212 + 432*b109*b214 + 
    8928*b109*b215 + 8928*b109*b216 + 5184*b109*b217 + 5328*b109*b218 + 7632*
    b109*b220 + 13824*b109*b221 + 11808*b109*b222 + 12078*b109*b223 + 792*b109*
    b224 + 17820*b109*b225 + 7128*b109*b226 + 11088*b109*b227 + 9504*b109*b228
     + 7920*b109*b229 + 7722*b109*b230 + 16830*b109*b231 + 16236*b109*b232 + 
    19008*b109*b233 + 8514*b109*b234 + 594*b109*b236 + 12276*b109*b237 + 12276*
    b109*b238 + 7128*b109*b239 + 7326*b109*b240 + 10494*b109*b242 + 19008*b109*
    b243 + 16236*b109*b244 + 4148*b109*b245 + 272*b109*b246 + 6120*b109*b247 + 
    2448*b109*b248 + 3808*b109*b249 + 3264*b109*b250 + 2720*b109*b251 + 2652*
    b109*b252 + 5780*b109*b253 + 5576*b109*b254 + 6528*b109*b255 + 2924*b109*
    b256 + 204*b109*b258 + 4216*b109*b259 + 4216*b109*b260 + 2448*b109*b261 + 
    2516*b109*b262 + 3604*b109*b264 + 6528*b109*b265 + 5576*b109*b266 + 5490*
    b109*b267 + 360*b109*b268 + 8100*b109*b269 + 3240*b109*b270 + 5040*b109*
    b271 + 4320*b109*b272 + 3600*b109*b273 + 3510*b109*b274 + 7650*b109*b275 + 
    7380*b109*b276 + 8640*b109*b277 + 3870*b109*b278 + 270*b109*b280 + 5580*
    b109*b281 + 5580*b109*b282 + 3240*b109*b283 + 3330*b109*b284 + 4770*b109*
    b286 + 8640*b109*b287 + 7380*b109*b288 + 2196*b109*b289 + 144*b109*b290 + 
    3240*b109*b291 + 1296*b109*b292 + 2016*b109*b293 + 1728*b109*b294 + 1440*
    b109*b295 + 1404*b109*b296 + 3060*b109*b297 + 2952*b109*b298 + 3456*b109*
    b299 + 1548*b109*b300 + 108*b109*b302 + 2232*b109*b303 + 2232*b109*b304 + 
    1296*b109*b305 + 1332*b109*b306 + 1908*b109*b308 + 3456*b109*b309 + 2952*
    b109*b310 + 11712*b109*b311 + 768*b109*b312 + 17280*b109*b313 + 6912*b109*
    b314 + 10752*b109*b315 + 9216*b109*b316 + 7680*b109*b317 + 7488*b109*b318
     + 16320*b109*b319 + 15744*b109*b320 + 18432*b109*b321 + 8256*b109*b322 + 
    576*b109*b324 + 11904*b109*b325 + 11904*b109*b326 + 6912*b109*b327 + 7104*
    b109*b328 + 10176*b109*b330 + 18432*b109*b331 + 15744*b109*b332 + 10004*
    b109*b333 + 656*b109*b334 + 14760*b109*b335 + 5904*b109*b336 + 9184*b109*
    b337 + 7872*b109*b338 + 6560*b109*b339 + 6396*b109*b340 + 13940*b109*b341
     + 13448*b109*b342 + 15744*b109*b343 + 7052*b109*b344 + 492*b109*b346 + 
    10168*b109*b347 + 10168*b109*b348 + 5904*b109*b349 + 6068*b109*b350 + 8692*
    b109*b352 + 15744*b109*b353 + 13448*b109*b354 + 9638*b109*b355 + 632*b109*
    b356 + 14220*b109*b357 + 5688*b109*b358 + 8848*b109*b359 + 7584*b109*b360
     + 6320*b109*b361 + 6162*b109*b362 + 13430*b109*b363 + 12956*b109*b364 + 
    15168*b109*b365 + 6794*b109*b366 + 474*b109*b368 + 9796*b109*b369 + 9796*
    b109*b370 + 5688*b109*b371 + 5846*b109*b372 + 8374*b109*b374 + 15168*b109*
    b375 + 12956*b109*b376 + 9150*b109*b377 + 600*b109*b378 + 13500*b109*b379
     + 5400*b109*b380 + 8400*b109*b381 + 7200*b109*b382 + 6000*b109*b383 + 5850
    *b109*b384 + 12750*b109*b385 + 12300*b109*b386 + 14400*b109*b387 + 6450*
    b109*b388 + 450*b109*b390 + 9300*b109*b391 + 9300*b109*b392 + 5400*b109*
    b393 + 5550*b109*b394 + 7950*b109*b396 + 14400*b109*b397 + 12300*b109*b398
     + 10126*b109*b399 + 664*b109*b400 + 14940*b109*b401 + 5976*b109*b402 + 
    9296*b109*b403 + 7968*b109*b404 + 6640*b109*b405 + 6474*b109*b406 + 14110*
    b109*b407 + 13612*b109*b408 + 15936*b109*b409 + 7138*b109*b410 + 498*b109*
    b412 + 10292*b109*b413 + 10292*b109*b414 + 5976*b109*b415 + 6142*b109*b416
     + 8798*b109*b418 + 15936*b109*b419 + 13612*b109*b420 + 5246*b109*b421 + 
    344*b109*b422 + 7740*b109*b423 + 3096*b109*b424 + 4816*b109*b425 + 4128*
    b109*b426 + 3440*b109*b427 + 3354*b109*b428 + 7310*b109*b429 + 7052*b109*
    b430 + 8256*b109*b431 + 3698*b109*b432 + 258*b109*b434 + 5332*b109*b435 + 
    5332*b109*b436 + 3096*b109*b437 + 3182*b109*b438 + 4558*b109*b440 + 8256*
    b109*b441 + 7052*b109*b442 + 3172*b109*b443 + 208*b109*b444 + 4680*b109*
    b445 + 1872*b109*b446 + 2912*b109*b447 + 2496*b109*b448 + 2080*b109*b449 + 
    2028*b109*b450 + 4420*b109*b451 + 4264*b109*b452 + 4992*b109*b453 + 2236*
    b109*b454 + 156*b109*b456 + 3224*b109*b457 + 3224*b109*b458 + 1872*b109*
    b459 + 1924*b109*b460 + 2756*b109*b462 + 4992*b109*b463 + 4264*b109*b464 + 
    9882*b109*b465 + 648*b109*b466 + 14580*b109*b467 + 5832*b109*b468 + 9072*
    b109*b469 + 7776*b109*b470 + 6480*b109*b471 + 6318*b109*b472 + 13770*b109*
    b473 + 13284*b109*b474 + 15552*b109*b475 + 6966*b109*b476 + 486*b109*b478
     + 10044*b109*b479 + 10044*b109*b480 + 5832*b109*b481 + 5994*b109*b482 + 
    8586*b109*b484 + 15552*b109*b485 + 13284*b109*b486 + 4758*b109*b487 + 312*
    b109*b488 + 7020*b109*b489 + 2808*b109*b490 + 4368*b109*b491 + 3744*b109*
    b492 + 3120*b109*b493 + 3042*b109*b494 + 6630*b109*b495 + 6396*b109*b496 + 
    7488*b109*b497 + 3354*b109*b498 + 234*b109*b500 + 4836*b109*b501 + 4836*
    b109*b502 + 2808*b109*b503 + 2886*b109*b504 + 4134*b109*b506 + 7488*b109*
    b507 + 6396*b109*b508 + 8052*b109*b509 + 528*b109*b510 + 11880*b109*b511 + 
    4752*b109*b512 + 7392*b109*b513 + 6336*b109*b514 + 5280*b109*b515 + 5148*
    b109*b516 + 11220*b109*b517 + 10824*b109*b518 + 12672*b109*b519 + 5676*b109
    *b520 + 396*b109*b522 + 8184*b109*b523 + 8184*b109*b524 + 4752*b109*b525 + 
    4884*b109*b526 + 6996*b109*b528 + 12672*b109*b529 + 10824*b109*b530 + 108*
    b109*b531 + 1836*b109*b532 + 5184*b109*b533 + 54*b109*b534 + 918*b109*b535
     + 2592*b109*b536 + 24*b109*b537 + 408*b109*b538 + 1152*b109*b539 + 2*b109*
    b543 + 34*b109*b544 + 96*b109*b545 + 88*b109*b546 + 1496*b109*b547 + 4224*
    b109*b548 + 64*b109*b549 + 1088*b109*b550 + 3072*b109*b551 + 6*b109*b552 + 
    102*b109*b553 + 288*b109*b554 + 144*b109*b555 + 2448*b109*b556 + 6912*b109*
    b557 + 198*b109*b558 + 3366*b109*b559 + 9504*b109*b560 + 68*b109*b561 + 
    1156*b109*b562 + 3264*b109*b563 + 90*b109*b564 + 1530*b109*b565 + 4320*b109
    *b566 + 36*b109*b567 + 612*b109*b568 + 1728*b109*b569 + 192*b109*b570 + 
    3264*b109*b571 + 9216*b109*b572 + 164*b109*b573 + 2788*b109*b574 + 7872*
    b109*b575 + 158*b109*b576 + 2686*b109*b577 + 7584*b109*b578 + 150*b109*b579
     + 2550*b109*b580 + 7200*b109*b581 + 166*b109*b582 + 2822*b109*b583 + 7968*
    b109*b584 + 86*b109*b585 + 1462*b109*b586 + 4128*b109*b587 + 52*b109*b588
     + 884*b109*b589 + 2496*b109*b590 + 162*b109*b591 + 2754*b109*b592 + 7776*
    b109*b593 + 78*b109*b594 + 1326*b109*b595 + 3744*b109*b596 + 132*b109*b597
     + 2244*b109*b598 + 6336*b109*b599 + 776*b109*b600 + 17460*b109*b601 + 6984
    *b109*b602 + 10864*b109*b603 + 9312*b109*b604 + 7760*b109*b605 + 7566*b109*
    b606 + 16490*b109*b607 + 15908*b109*b608 + 18624*b109*b609 + 8342*b109*b610
     + 582*b109*b612 + 12028*b109*b613 + 3298*b109*b614 + 12028*b109*b615 + 
    6984*b109*b616 + 7178*b109*b617 + 10282*b109*b619 + 18624*b109*b620 + 15908
    *b109*b621 + 9312*b109*b622 + 11834*b109*b623 + 70*b109*b624 + 1190*b109*
    b625 + 3360*b109*b626 + 72*b110*b113 + 72*b110*b114 + 102*b110*b115 + 106*
    b110*b116 + 140*b110*b117 + 28*b110*b118 + 132*b110*b119 + 106*b110*b120 + 
    144*b110*b121 + 88*b110*b122 + 14*b110*b123 + 194*b110*b124 + 102*b110*b126
     + 56*b110*b127 + 124*b110*b128 + 4*b110*b129 + 98*b110*b130 + 106*b110*
    b131 + 56*b110*b133 + 62*b110*b134 + 3168*b110*b135 + 3168*b110*b136 + 4488
    *b110*b137 + 4664*b110*b138 + 6160*b110*b139 + 1232*b110*b140 + 5808*b110*
    b141 + 4664*b110*b142 + 6336*b110*b143 + 3872*b110*b144 + 616*b110*b145 + 
    8536*b110*b146 + 4488*b110*b148 + 2464*b110*b149 + 5456*b110*b150 + 176*
    b110*b151 + 4312*b110*b152 + 4664*b110*b153 + 2464*b110*b155 + 2728*b110*
    b156 + 2304*b110*b157 + 2304*b110*b158 + 3264*b110*b159 + 3392*b110*b160 + 
    4480*b110*b161 + 896*b110*b162 + 4224*b110*b163 + 3392*b110*b164 + 4608*
    b110*b165 + 2816*b110*b166 + 448*b110*b167 + 6208*b110*b168 + 3264*b110*
    b170 + 1792*b110*b171 + 3968*b110*b172 + 128*b110*b173 + 3136*b110*b174 + 
    3392*b110*b175 + 1792*b110*b177 + 1984*b110*b178 + 216*b110*b179 + 216*b110
    *b180 + 306*b110*b181 + 318*b110*b182 + 420*b110*b183 + 84*b110*b184 + 396*
    b110*b185 + 318*b110*b186 + 432*b110*b187 + 264*b110*b188 + 42*b110*b189 + 
    582*b110*b190 + 306*b110*b192 + 168*b110*b193 + 372*b110*b194 + 12*b110*
    b195 + 294*b110*b196 + 318*b110*b197 + 168*b110*b199 + 186*b110*b200 + 5184
    *b110*b201 + 5184*b110*b202 + 7344*b110*b203 + 7632*b110*b204 + 10080*b110*
    b205 + 2016*b110*b206 + 9504*b110*b207 + 7632*b110*b208 + 10368*b110*b209
     + 6336*b110*b210 + 1008*b110*b211 + 13968*b110*b212 + 7344*b110*b214 + 
    4032*b110*b215 + 8928*b110*b216 + 288*b110*b217 + 7056*b110*b218 + 7632*
    b110*b219 + 4032*b110*b221 + 4464*b110*b222 + 7128*b110*b223 + 7128*b110*
    b224 + 10098*b110*b225 + 10494*b110*b226 + 13860*b110*b227 + 2772*b110*b228
     + 13068*b110*b229 + 10494*b110*b230 + 14256*b110*b231 + 8712*b110*b232 + 
    1386*b110*b233 + 19206*b110*b234 + 10098*b110*b236 + 5544*b110*b237 + 12276
    *b110*b238 + 396*b110*b239 + 9702*b110*b240 + 10494*b110*b241 + 5544*b110*
    b243 + 6138*b110*b244 + 2448*b110*b245 + 2448*b110*b246 + 3468*b110*b247 + 
    3604*b110*b248 + 4760*b110*b249 + 952*b110*b250 + 4488*b110*b251 + 3604*
    b110*b252 + 4896*b110*b253 + 2992*b110*b254 + 476*b110*b255 + 6596*b110*
    b256 + 3468*b110*b258 + 1904*b110*b259 + 4216*b110*b260 + 136*b110*b261 + 
    3332*b110*b262 + 3604*b110*b263 + 1904*b110*b265 + 2108*b110*b266 + 3240*
    b110*b267 + 3240*b110*b268 + 4590*b110*b269 + 4770*b110*b270 + 6300*b110*
    b271 + 1260*b110*b272 + 5940*b110*b273 + 4770*b110*b274 + 6480*b110*b275 + 
    3960*b110*b276 + 630*b110*b277 + 8730*b110*b278 + 4590*b110*b280 + 2520*
    b110*b281 + 5580*b110*b282 + 180*b110*b283 + 4410*b110*b284 + 4770*b110*
    b285 + 2520*b110*b287 + 2790*b110*b288 + 1296*b110*b289 + 1296*b110*b290 + 
    1836*b110*b291 + 1908*b110*b292 + 2520*b110*b293 + 504*b110*b294 + 2376*
    b110*b295 + 1908*b110*b296 + 2592*b110*b297 + 1584*b110*b298 + 252*b110*
    b299 + 3492*b110*b300 + 1836*b110*b302 + 1008*b110*b303 + 2232*b110*b304 + 
    72*b110*b305 + 1764*b110*b306 + 1908*b110*b307 + 1008*b110*b309 + 1116*b110
    *b310 + 6912*b110*b311 + 6912*b110*b312 + 9792*b110*b313 + 10176*b110*b314
     + 13440*b110*b315 + 2688*b110*b316 + 12672*b110*b317 + 10176*b110*b318 + 
    13824*b110*b319 + 8448*b110*b320 + 1344*b110*b321 + 18624*b110*b322 + 9792*
    b110*b324 + 5376*b110*b325 + 11904*b110*b326 + 384*b110*b327 + 9408*b110*
    b328 + 10176*b110*b329 + 5376*b110*b331 + 5952*b110*b332 + 5904*b110*b333
     + 5904*b110*b334 + 8364*b110*b335 + 8692*b110*b336 + 11480*b110*b337 + 
    2296*b110*b338 + 10824*b110*b339 + 8692*b110*b340 + 11808*b110*b341 + 7216*
    b110*b342 + 1148*b110*b343 + 15908*b110*b344 + 8364*b110*b346 + 4592*b110*
    b347 + 10168*b110*b348 + 328*b110*b349 + 8036*b110*b350 + 8692*b110*b351 + 
    4592*b110*b353 + 5084*b110*b354 + 5688*b110*b355 + 5688*b110*b356 + 8058*
    b110*b357 + 8374*b110*b358 + 11060*b110*b359 + 2212*b110*b360 + 10428*b110*
    b361 + 8374*b110*b362 + 11376*b110*b363 + 6952*b110*b364 + 1106*b110*b365
     + 15326*b110*b366 + 8058*b110*b368 + 4424*b110*b369 + 9796*b110*b370 + 316
    *b110*b371 + 7742*b110*b372 + 8374*b110*b373 + 4424*b110*b375 + 4898*b110*
    b376 + 5400*b110*b377 + 5400*b110*b378 + 7650*b110*b379 + 7950*b110*b380 + 
    10500*b110*b381 + 2100*b110*b382 + 9900*b110*b383 + 7950*b110*b384 + 10800*
    b110*b385 + 6600*b110*b386 + 1050*b110*b387 + 14550*b110*b388 + 7650*b110*
    b390 + 4200*b110*b391 + 9300*b110*b392 + 300*b110*b393 + 7350*b110*b394 + 
    7950*b110*b395 + 4200*b110*b397 + 4650*b110*b398 + 5976*b110*b399 + 5976*
    b110*b400 + 8466*b110*b401 + 8798*b110*b402 + 11620*b110*b403 + 2324*b110*
    b404 + 10956*b110*b405 + 8798*b110*b406 + 11952*b110*b407 + 7304*b110*b408
     + 1162*b110*b409 + 16102*b110*b410 + 8466*b110*b412 + 4648*b110*b413 + 
    10292*b110*b414 + 332*b110*b415 + 8134*b110*b416 + 8798*b110*b417 + 4648*
    b110*b419 + 5146*b110*b420 + 3096*b110*b421 + 3096*b110*b422 + 4386*b110*
    b423 + 4558*b110*b424 + 6020*b110*b425 + 1204*b110*b426 + 5676*b110*b427 + 
    4558*b110*b428 + 6192*b110*b429 + 3784*b110*b430 + 602*b110*b431 + 8342*
    b110*b432 + 4386*b110*b434 + 2408*b110*b435 + 5332*b110*b436 + 172*b110*
    b437 + 4214*b110*b438 + 4558*b110*b439 + 2408*b110*b441 + 2666*b110*b442 + 
    1872*b110*b443 + 1872*b110*b444 + 2652*b110*b445 + 2756*b110*b446 + 3640*
    b110*b447 + 728*b110*b448 + 3432*b110*b449 + 2756*b110*b450 + 3744*b110*
    b451 + 2288*b110*b452 + 364*b110*b453 + 5044*b110*b454 + 2652*b110*b456 + 
    1456*b110*b457 + 3224*b110*b458 + 104*b110*b459 + 2548*b110*b460 + 2756*
    b110*b461 + 1456*b110*b463 + 1612*b110*b464 + 5832*b110*b465 + 5832*b110*
    b466 + 8262*b110*b467 + 8586*b110*b468 + 11340*b110*b469 + 2268*b110*b470
     + 10692*b110*b471 + 8586*b110*b472 + 11664*b110*b473 + 7128*b110*b474 + 
    1134*b110*b475 + 15714*b110*b476 + 8262*b110*b478 + 4536*b110*b479 + 10044*
    b110*b480 + 324*b110*b481 + 7938*b110*b482 + 8586*b110*b483 + 4536*b110*
    b485 + 5022*b110*b486 + 2808*b110*b487 + 2808*b110*b488 + 3978*b110*b489 + 
    4134*b110*b490 + 5460*b110*b491 + 1092*b110*b492 + 5148*b110*b493 + 4134*
    b110*b494 + 5616*b110*b495 + 3432*b110*b496 + 546*b110*b497 + 7566*b110*
    b498 + 3978*b110*b500 + 2184*b110*b501 + 4836*b110*b502 + 156*b110*b503 + 
    3822*b110*b504 + 4134*b110*b505 + 2184*b110*b507 + 2418*b110*b508 + 4752*
    b110*b509 + 4752*b110*b510 + 6732*b110*b511 + 6996*b110*b512 + 9240*b110*
    b513 + 1848*b110*b514 + 8712*b110*b515 + 6996*b110*b516 + 9504*b110*b517 + 
    5808*b110*b518 + 924*b110*b519 + 12804*b110*b520 + 6732*b110*b522 + 3696*
    b110*b523 + 8184*b110*b524 + 264*b110*b525 + 6468*b110*b526 + 6996*b110*
    b527 + 3696*b110*b529 + 4092*b110*b530 + 9180*b110*b531 + 8316*b110*b532 + 
    8100*b110*b533 + 4590*b110*b534 + 4158*b110*b535 + 4050*b110*b536 + 2040*
    b110*b537 + 1848*b110*b538 + 1800*b110*b539 + 170*b110*b543 + 154*b110*b544
     + 150*b110*b545 + 7480*b110*b546 + 6776*b110*b547 + 6600*b110*b548 + 5440*
    b110*b549 + 4928*b110*b550 + 4800*b110*b551 + 510*b110*b552 + 462*b110*b553
     + 450*b110*b554 + 12240*b110*b555 + 11088*b110*b556 + 10800*b110*b557 + 
    16830*b110*b558 + 15246*b110*b559 + 14850*b110*b560 + 5780*b110*b561 + 5236
    *b110*b562 + 5100*b110*b563 + 7650*b110*b564 + 6930*b110*b565 + 6750*b110*
    b566 + 3060*b110*b567 + 2772*b110*b568 + 2700*b110*b569 + 16320*b110*b570
     + 14784*b110*b571 + 14400*b110*b572 + 13940*b110*b573 + 12628*b110*b574 + 
    12300*b110*b575 + 13430*b110*b576 + 12166*b110*b577 + 11850*b110*b578 + 
    12750*b110*b579 + 11550*b110*b580 + 11250*b110*b581 + 14110*b110*b582 + 
    12782*b110*b583 + 12450*b110*b584 + 7310*b110*b585 + 6622*b110*b586 + 6450*
    b110*b587 + 4420*b110*b588 + 4004*b110*b589 + 3900*b110*b590 + 13770*b110*
    b591 + 12474*b110*b592 + 12150*b110*b593 + 6630*b110*b594 + 6006*b110*b595
     + 5850*b110*b596 + 11220*b110*b597 + 10164*b110*b598 + 9900*b110*b599 + 
    6984*b110*b600 + 9894*b110*b601 + 10282*b110*b602 + 13580*b110*b603 + 2716*
    b110*b604 + 12804*b110*b605 + 10282*b110*b606 + 13968*b110*b607 + 8536*b110
    *b608 + 1358*b110*b609 + 18818*b110*b610 + 9894*b110*b612 + 5432*b110*b613
     + 14938*b110*b614 + 12028*b110*b615 + 388*b110*b616 + 9506*b110*b617 + 
    10282*b110*b618 + 5432*b110*b620 + 6014*b110*b621 + 14550*b110*b622 + 6984*
    b110*b623 + 5950*b110*b624 + 5390*b110*b625 + 5250*b110*b626 + 42*b111*b113
     + 54*b111*b114 + 6*b111*b115 + 74*b111*b116 + 198*b111*b117 + 178*b111*
    b118 + 116*b111*b119 + 154*b111*b120 + 14*b111*b121 + 70*b111*b122 + 174*
    b111*b123 + 66*b111*b124 + 96*b111*b125 + 134*b111*b126 + 152*b111*b127 + 
    166*b111*b128 + 4*b111*b129 + 122*b111*b130 + 192*b111*b131 + 56*b111*b132
     + 2*b111*b134 + 1848*b111*b135 + 2376*b111*b136 + 264*b111*b137 + 3256*
    b111*b138 + 8712*b111*b139 + 7832*b111*b140 + 5104*b111*b141 + 6776*b111*
    b142 + 616*b111*b143 + 3080*b111*b144 + 7656*b111*b145 + 2904*b111*b146 + 
    4224*b111*b147 + 5896*b111*b148 + 6688*b111*b149 + 7304*b111*b150 + 176*
    b111*b151 + 5368*b111*b152 + 8448*b111*b153 + 2464*b111*b154 + 88*b111*b156
     + 1344*b111*b157 + 1728*b111*b158 + 192*b111*b159 + 2368*b111*b160 + 6336*
    b111*b161 + 5696*b111*b162 + 3712*b111*b163 + 4928*b111*b164 + 448*b111*
    b165 + 2240*b111*b166 + 5568*b111*b167 + 2112*b111*b168 + 3072*b111*b169 + 
    4288*b111*b170 + 4864*b111*b171 + 5312*b111*b172 + 128*b111*b173 + 3904*
    b111*b174 + 6144*b111*b175 + 1792*b111*b176 + 64*b111*b178 + 126*b111*b179
     + 162*b111*b180 + 18*b111*b181 + 222*b111*b182 + 594*b111*b183 + 534*b111*
    b184 + 348*b111*b185 + 462*b111*b186 + 42*b111*b187 + 210*b111*b188 + 522*
    b111*b189 + 198*b111*b190 + 288*b111*b191 + 402*b111*b192 + 456*b111*b193
     + 498*b111*b194 + 12*b111*b195 + 366*b111*b196 + 576*b111*b197 + 168*b111*
    b198 + 6*b111*b200 + 3024*b111*b201 + 3888*b111*b202 + 432*b111*b203 + 5328
    *b111*b204 + 14256*b111*b205 + 12816*b111*b206 + 8352*b111*b207 + 11088*
    b111*b208 + 1008*b111*b209 + 5040*b111*b210 + 12528*b111*b211 + 4752*b111*
    b212 + 6912*b111*b213 + 9648*b111*b214 + 10944*b111*b215 + 11952*b111*b216
     + 288*b111*b217 + 8784*b111*b218 + 13824*b111*b219 + 4032*b111*b220 + 144*
    b111*b222 + 4158*b111*b223 + 5346*b111*b224 + 594*b111*b225 + 7326*b111*
    b226 + 19602*b111*b227 + 17622*b111*b228 + 11484*b111*b229 + 15246*b111*
    b230 + 1386*b111*b231 + 6930*b111*b232 + 17226*b111*b233 + 6534*b111*b234
     + 9504*b111*b235 + 13266*b111*b236 + 15048*b111*b237 + 16434*b111*b238 + 
    396*b111*b239 + 12078*b111*b240 + 19008*b111*b241 + 5544*b111*b242 + 198*
    b111*b244 + 1428*b111*b245 + 1836*b111*b246 + 204*b111*b247 + 2516*b111*
    b248 + 6732*b111*b249 + 6052*b111*b250 + 3944*b111*b251 + 5236*b111*b252 + 
    476*b111*b253 + 2380*b111*b254 + 5916*b111*b255 + 2244*b111*b256 + 3264*
    b111*b257 + 4556*b111*b258 + 5168*b111*b259 + 5644*b111*b260 + 136*b111*
    b261 + 4148*b111*b262 + 6528*b111*b263 + 1904*b111*b264 + 68*b111*b266 + 
    1890*b111*b267 + 2430*b111*b268 + 270*b111*b269 + 3330*b111*b270 + 8910*
    b111*b271 + 8010*b111*b272 + 5220*b111*b273 + 6930*b111*b274 + 630*b111*
    b275 + 3150*b111*b276 + 7830*b111*b277 + 2970*b111*b278 + 4320*b111*b279 + 
    6030*b111*b280 + 6840*b111*b281 + 7470*b111*b282 + 180*b111*b283 + 5490*
    b111*b284 + 8640*b111*b285 + 2520*b111*b286 + 90*b111*b288 + 756*b111*b289
     + 972*b111*b290 + 108*b111*b291 + 1332*b111*b292 + 3564*b111*b293 + 3204*
    b111*b294 + 2088*b111*b295 + 2772*b111*b296 + 252*b111*b297 + 1260*b111*
    b298 + 3132*b111*b299 + 1188*b111*b300 + 1728*b111*b301 + 2412*b111*b302 + 
    2736*b111*b303 + 2988*b111*b304 + 72*b111*b305 + 2196*b111*b306 + 3456*b111
    *b307 + 1008*b111*b308 + 36*b111*b310 + 4032*b111*b311 + 5184*b111*b312 + 
    576*b111*b313 + 7104*b111*b314 + 19008*b111*b315 + 17088*b111*b316 + 11136*
    b111*b317 + 14784*b111*b318 + 1344*b111*b319 + 6720*b111*b320 + 16704*b111*
    b321 + 6336*b111*b322 + 9216*b111*b323 + 12864*b111*b324 + 14592*b111*b325
     + 15936*b111*b326 + 384*b111*b327 + 11712*b111*b328 + 18432*b111*b329 + 
    5376*b111*b330 + 192*b111*b332 + 3444*b111*b333 + 4428*b111*b334 + 492*b111
    *b335 + 6068*b111*b336 + 16236*b111*b337 + 14596*b111*b338 + 9512*b111*b339
     + 12628*b111*b340 + 1148*b111*b341 + 5740*b111*b342 + 14268*b111*b343 + 
    5412*b111*b344 + 7872*b111*b345 + 10988*b111*b346 + 12464*b111*b347 + 13612
    *b111*b348 + 328*b111*b349 + 10004*b111*b350 + 15744*b111*b351 + 4592*b111*
    b352 + 164*b111*b354 + 3318*b111*b355 + 4266*b111*b356 + 474*b111*b357 + 
    5846*b111*b358 + 15642*b111*b359 + 14062*b111*b360 + 9164*b111*b361 + 12166
    *b111*b362 + 1106*b111*b363 + 5530*b111*b364 + 13746*b111*b365 + 5214*b111*
    b366 + 7584*b111*b367 + 10586*b111*b368 + 12008*b111*b369 + 13114*b111*b370
     + 316*b111*b371 + 9638*b111*b372 + 15168*b111*b373 + 4424*b111*b374 + 158*
    b111*b376 + 3150*b111*b377 + 4050*b111*b378 + 450*b111*b379 + 5550*b111*
    b380 + 14850*b111*b381 + 13350*b111*b382 + 8700*b111*b383 + 11550*b111*b384
     + 1050*b111*b385 + 5250*b111*b386 + 13050*b111*b387 + 4950*b111*b388 + 
    7200*b111*b389 + 10050*b111*b390 + 11400*b111*b391 + 12450*b111*b392 + 300*
    b111*b393 + 9150*b111*b394 + 14400*b111*b395 + 4200*b111*b396 + 150*b111*
    b398 + 3486*b111*b399 + 4482*b111*b400 + 498*b111*b401 + 6142*b111*b402 + 
    16434*b111*b403 + 14774*b111*b404 + 9628*b111*b405 + 12782*b111*b406 + 1162
    *b111*b407 + 5810*b111*b408 + 14442*b111*b409 + 5478*b111*b410 + 7968*b111*
    b411 + 11122*b111*b412 + 12616*b111*b413 + 13778*b111*b414 + 332*b111*b415
     + 10126*b111*b416 + 15936*b111*b417 + 4648*b111*b418 + 166*b111*b420 + 
    1806*b111*b421 + 2322*b111*b422 + 258*b111*b423 + 3182*b111*b424 + 8514*
    b111*b425 + 7654*b111*b426 + 4988*b111*b427 + 6622*b111*b428 + 602*b111*
    b429 + 3010*b111*b430 + 7482*b111*b431 + 2838*b111*b432 + 4128*b111*b433 + 
    5762*b111*b434 + 6536*b111*b435 + 7138*b111*b436 + 172*b111*b437 + 5246*
    b111*b438 + 8256*b111*b439 + 2408*b111*b440 + 86*b111*b442 + 1092*b111*b443
     + 1404*b111*b444 + 156*b111*b445 + 1924*b111*b446 + 5148*b111*b447 + 4628*
    b111*b448 + 3016*b111*b449 + 4004*b111*b450 + 364*b111*b451 + 1820*b111*
    b452 + 4524*b111*b453 + 1716*b111*b454 + 2496*b111*b455 + 3484*b111*b456 + 
    3952*b111*b457 + 4316*b111*b458 + 104*b111*b459 + 3172*b111*b460 + 4992*
    b111*b461 + 1456*b111*b462 + 52*b111*b464 + 3402*b111*b465 + 4374*b111*b466
     + 486*b111*b467 + 5994*b111*b468 + 16038*b111*b469 + 14418*b111*b470 + 
    9396*b111*b471 + 12474*b111*b472 + 1134*b111*b473 + 5670*b111*b474 + 14094*
    b111*b475 + 5346*b111*b476 + 7776*b111*b477 + 10854*b111*b478 + 12312*b111*
    b479 + 13446*b111*b480 + 324*b111*b481 + 9882*b111*b482 + 15552*b111*b483
     + 4536*b111*b484 + 162*b111*b486 + 1638*b111*b487 + 2106*b111*b488 + 234*
    b111*b489 + 2886*b111*b490 + 7722*b111*b491 + 6942*b111*b492 + 4524*b111*
    b493 + 6006*b111*b494 + 546*b111*b495 + 2730*b111*b496 + 6786*b111*b497 + 
    2574*b111*b498 + 3744*b111*b499 + 5226*b111*b500 + 5928*b111*b501 + 6474*
    b111*b502 + 156*b111*b503 + 4758*b111*b504 + 7488*b111*b505 + 2184*b111*
    b506 + 78*b111*b508 + 2772*b111*b509 + 3564*b111*b510 + 396*b111*b511 + 
    4884*b111*b512 + 13068*b111*b513 + 11748*b111*b514 + 7656*b111*b515 + 10164
    *b111*b516 + 924*b111*b517 + 4620*b111*b518 + 11484*b111*b519 + 4356*b111*
    b520 + 6336*b111*b521 + 8844*b111*b522 + 10032*b111*b523 + 10956*b111*b524
     + 264*b111*b525 + 8052*b111*b526 + 12672*b111*b527 + 3696*b111*b528 + 132*
    b111*b530 + 9072*b111*b531 + 4752*b111*b532 + 10260*b111*b533 + 4536*b111*
    b534 + 2376*b111*b535 + 5130*b111*b536 + 2016*b111*b537 + 1056*b111*b538 + 
    2280*b111*b539 + 168*b111*b543 + 88*b111*b544 + 190*b111*b545 + 7392*b111*
    b546 + 3872*b111*b547 + 8360*b111*b548 + 5376*b111*b549 + 2816*b111*b550 + 
    6080*b111*b551 + 504*b111*b552 + 264*b111*b553 + 570*b111*b554 + 12096*b111
    *b555 + 6336*b111*b556 + 13680*b111*b557 + 16632*b111*b558 + 8712*b111*b559
     + 18810*b111*b560 + 5712*b111*b561 + 2992*b111*b562 + 6460*b111*b563 + 
    7560*b111*b564 + 3960*b111*b565 + 8550*b111*b566 + 3024*b111*b567 + 1584*
    b111*b568 + 3420*b111*b569 + 16128*b111*b570 + 8448*b111*b571 + 18240*b111*
    b572 + 13776*b111*b573 + 7216*b111*b574 + 15580*b111*b575 + 13272*b111*b576
     + 6952*b111*b577 + 15010*b111*b578 + 12600*b111*b579 + 6600*b111*b580 + 
    14250*b111*b581 + 13944*b111*b582 + 7304*b111*b583 + 15770*b111*b584 + 7224
    *b111*b585 + 3784*b111*b586 + 8170*b111*b587 + 4368*b111*b588 + 2288*b111*
    b589 + 4940*b111*b590 + 13608*b111*b591 + 7128*b111*b592 + 15390*b111*b593
     + 6552*b111*b594 + 3432*b111*b595 + 7410*b111*b596 + 11088*b111*b597 + 
    5808*b111*b598 + 12540*b111*b599 + 5238*b111*b600 + 582*b111*b601 + 7178*
    b111*b602 + 19206*b111*b603 + 17266*b111*b604 + 11252*b111*b605 + 14938*
    b111*b606 + 1358*b111*b607 + 6790*b111*b608 + 16878*b111*b609 + 6402*b111*
    b610 + 9312*b111*b611 + 12998*b111*b612 + 14744*b111*b613 + 8536*b111*b614
     + 16102*b111*b615 + 388*b111*b616 + 11834*b111*b617 + 18624*b111*b618 + 
    5432*b111*b619 + 194*b111*b621 + 18430*b111*b622 + 4074*b111*b623 + 5880*
    b111*b624 + 3080*b111*b625 + 6650*b111*b626 + 142*b112*b113 + 170*b112*b114
     + 96*b112*b115 + 52*b112*b116 + 120*b112*b117 + 88*b112*b118 + 60*b112*
    b119 + 100*b112*b120 + 98*b112*b121 + 6*b112*b122 + 136*b112*b123 + 70*b112
    *b124 + 124*b112*b125 + 78*b112*b126 + 132*b112*b127 + 182*b112*b128 + 86*
    b112*b129 + 10*b112*b130 + 164*b112*b131 + 62*b112*b132 + 2*b112*b133 + 
    6248*b112*b135 + 7480*b112*b136 + 4224*b112*b137 + 2288*b112*b138 + 5280*
    b112*b139 + 3872*b112*b140 + 2640*b112*b141 + 4400*b112*b142 + 4312*b112*
    b143 + 264*b112*b144 + 5984*b112*b145 + 3080*b112*b146 + 5456*b112*b147 + 
    3432*b112*b148 + 5808*b112*b149 + 8008*b112*b150 + 3784*b112*b151 + 440*
    b112*b152 + 7216*b112*b153 + 2728*b112*b154 + 88*b112*b155 + 4544*b112*b157
     + 5440*b112*b158 + 3072*b112*b159 + 1664*b112*b160 + 3840*b112*b161 + 2816
    *b112*b162 + 1920*b112*b163 + 3200*b112*b164 + 3136*b112*b165 + 192*b112*
    b166 + 4352*b112*b167 + 2240*b112*b168 + 3968*b112*b169 + 2496*b112*b170 + 
    4224*b112*b171 + 5824*b112*b172 + 2752*b112*b173 + 320*b112*b174 + 5248*
    b112*b175 + 1984*b112*b176 + 64*b112*b177 + 426*b112*b179 + 510*b112*b180
     + 288*b112*b181 + 156*b112*b182 + 360*b112*b183 + 264*b112*b184 + 180*b112
    *b185 + 300*b112*b186 + 294*b112*b187 + 18*b112*b188 + 408*b112*b189 + 210*
    b112*b190 + 372*b112*b191 + 234*b112*b192 + 396*b112*b193 + 546*b112*b194
     + 258*b112*b195 + 30*b112*b196 + 492*b112*b197 + 186*b112*b198 + 6*b112*
    b199 + 10224*b112*b201 + 12240*b112*b202 + 6912*b112*b203 + 3744*b112*b204
     + 8640*b112*b205 + 6336*b112*b206 + 4320*b112*b207 + 7200*b112*b208 + 7056
    *b112*b209 + 432*b112*b210 + 9792*b112*b211 + 5040*b112*b212 + 8928*b112*
    b213 + 5616*b112*b214 + 9504*b112*b215 + 13104*b112*b216 + 6192*b112*b217
     + 720*b112*b218 + 11808*b112*b219 + 4464*b112*b220 + 144*b112*b221 + 14058
    *b112*b223 + 16830*b112*b224 + 9504*b112*b225 + 5148*b112*b226 + 11880*b112
    *b227 + 8712*b112*b228 + 5940*b112*b229 + 9900*b112*b230 + 9702*b112*b231
     + 594*b112*b232 + 13464*b112*b233 + 6930*b112*b234 + 12276*b112*b235 + 
    7722*b112*b236 + 13068*b112*b237 + 18018*b112*b238 + 8514*b112*b239 + 990*
    b112*b240 + 16236*b112*b241 + 6138*b112*b242 + 198*b112*b243 + 4828*b112*
    b245 + 5780*b112*b246 + 3264*b112*b247 + 1768*b112*b248 + 4080*b112*b249 + 
    2992*b112*b250 + 2040*b112*b251 + 3400*b112*b252 + 3332*b112*b253 + 204*
    b112*b254 + 4624*b112*b255 + 2380*b112*b256 + 4216*b112*b257 + 2652*b112*
    b258 + 4488*b112*b259 + 6188*b112*b260 + 2924*b112*b261 + 340*b112*b262 + 
    5576*b112*b263 + 2108*b112*b264 + 68*b112*b265 + 6390*b112*b267 + 7650*b112
    *b268 + 4320*b112*b269 + 2340*b112*b270 + 5400*b112*b271 + 3960*b112*b272
     + 2700*b112*b273 + 4500*b112*b274 + 4410*b112*b275 + 270*b112*b276 + 6120*
    b112*b277 + 3150*b112*b278 + 5580*b112*b279 + 3510*b112*b280 + 5940*b112*
    b281 + 8190*b112*b282 + 3870*b112*b283 + 450*b112*b284 + 7380*b112*b285 + 
    2790*b112*b286 + 90*b112*b287 + 2556*b112*b289 + 3060*b112*b290 + 1728*b112
    *b291 + 936*b112*b292 + 2160*b112*b293 + 1584*b112*b294 + 1080*b112*b295 + 
    1800*b112*b296 + 1764*b112*b297 + 108*b112*b298 + 2448*b112*b299 + 1260*
    b112*b300 + 2232*b112*b301 + 1404*b112*b302 + 2376*b112*b303 + 3276*b112*
    b304 + 1548*b112*b305 + 180*b112*b306 + 2952*b112*b307 + 1116*b112*b308 + 
    36*b112*b309 + 13632*b112*b311 + 16320*b112*b312 + 9216*b112*b313 + 4992*
    b112*b314 + 11520*b112*b315 + 8448*b112*b316 + 5760*b112*b317 + 9600*b112*
    b318 + 9408*b112*b319 + 576*b112*b320 + 13056*b112*b321 + 6720*b112*b322 + 
    11904*b112*b323 + 7488*b112*b324 + 12672*b112*b325 + 17472*b112*b326 + 8256
    *b112*b327 + 960*b112*b328 + 15744*b112*b329 + 5952*b112*b330 + 192*b112*
    b331 + 11644*b112*b333 + 13940*b112*b334 + 7872*b112*b335 + 4264*b112*b336
     + 9840*b112*b337 + 7216*b112*b338 + 4920*b112*b339 + 8200*b112*b340 + 8036
    *b112*b341 + 492*b112*b342 + 11152*b112*b343 + 5740*b112*b344 + 10168*b112*
    b345 + 6396*b112*b346 + 10824*b112*b347 + 14924*b112*b348 + 7052*b112*b349
     + 820*b112*b350 + 13448*b112*b351 + 5084*b112*b352 + 164*b112*b353 + 11218
    *b112*b355 + 13430*b112*b356 + 7584*b112*b357 + 4108*b112*b358 + 9480*b112*
    b359 + 6952*b112*b360 + 4740*b112*b361 + 7900*b112*b362 + 7742*b112*b363 + 
    474*b112*b364 + 10744*b112*b365 + 5530*b112*b366 + 9796*b112*b367 + 6162*
    b112*b368 + 10428*b112*b369 + 14378*b112*b370 + 6794*b112*b371 + 790*b112*
    b372 + 12956*b112*b373 + 4898*b112*b374 + 158*b112*b375 + 10650*b112*b377
     + 12750*b112*b378 + 7200*b112*b379 + 3900*b112*b380 + 9000*b112*b381 + 
    6600*b112*b382 + 4500*b112*b383 + 7500*b112*b384 + 7350*b112*b385 + 450*
    b112*b386 + 10200*b112*b387 + 5250*b112*b388 + 9300*b112*b389 + 5850*b112*
    b390 + 9900*b112*b391 + 13650*b112*b392 + 6450*b112*b393 + 750*b112*b394 + 
    12300*b112*b395 + 4650*b112*b396 + 150*b112*b397 + 11786*b112*b399 + 14110*
    b112*b400 + 7968*b112*b401 + 4316*b112*b402 + 9960*b112*b403 + 7304*b112*
    b404 + 4980*b112*b405 + 8300*b112*b406 + 8134*b112*b407 + 498*b112*b408 + 
    11288*b112*b409 + 5810*b112*b410 + 10292*b112*b411 + 6474*b112*b412 + 10956
    *b112*b413 + 15106*b112*b414 + 7138*b112*b415 + 830*b112*b416 + 13612*b112*
    b417 + 5146*b112*b418 + 166*b112*b419 + 6106*b112*b421 + 7310*b112*b422 + 
    4128*b112*b423 + 2236*b112*b424 + 5160*b112*b425 + 3784*b112*b426 + 2580*
    b112*b427 + 4300*b112*b428 + 4214*b112*b429 + 258*b112*b430 + 5848*b112*
    b431 + 3010*b112*b432 + 5332*b112*b433 + 3354*b112*b434 + 5676*b112*b435 + 
    7826*b112*b436 + 3698*b112*b437 + 430*b112*b438 + 7052*b112*b439 + 2666*
    b112*b440 + 86*b112*b441 + 3692*b112*b443 + 4420*b112*b444 + 2496*b112*b445
     + 1352*b112*b446 + 3120*b112*b447 + 2288*b112*b448 + 1560*b112*b449 + 2600
    *b112*b450 + 2548*b112*b451 + 156*b112*b452 + 3536*b112*b453 + 1820*b112*
    b454 + 3224*b112*b455 + 2028*b112*b456 + 3432*b112*b457 + 4732*b112*b458 + 
    2236*b112*b459 + 260*b112*b460 + 4264*b112*b461 + 1612*b112*b462 + 52*b112*
    b463 + 11502*b112*b465 + 13770*b112*b466 + 7776*b112*b467 + 4212*b112*b468
     + 9720*b112*b469 + 7128*b112*b470 + 4860*b112*b471 + 8100*b112*b472 + 7938
    *b112*b473 + 486*b112*b474 + 11016*b112*b475 + 5670*b112*b476 + 10044*b112*
    b477 + 6318*b112*b478 + 10692*b112*b479 + 14742*b112*b480 + 6966*b112*b481
     + 810*b112*b482 + 13284*b112*b483 + 5022*b112*b484 + 162*b112*b485 + 5538*
    b112*b487 + 6630*b112*b488 + 3744*b112*b489 + 2028*b112*b490 + 4680*b112*
    b491 + 3432*b112*b492 + 2340*b112*b493 + 3900*b112*b494 + 3822*b112*b495 + 
    234*b112*b496 + 5304*b112*b497 + 2730*b112*b498 + 4836*b112*b499 + 3042*
    b112*b500 + 5148*b112*b501 + 7098*b112*b502 + 3354*b112*b503 + 390*b112*
    b504 + 6396*b112*b505 + 2418*b112*b506 + 78*b112*b507 + 9372*b112*b509 + 
    11220*b112*b510 + 6336*b112*b511 + 3432*b112*b512 + 7920*b112*b513 + 5808*
    b112*b514 + 3960*b112*b515 + 6600*b112*b516 + 6468*b112*b517 + 396*b112*
    b518 + 8976*b112*b519 + 4620*b112*b520 + 8184*b112*b521 + 5148*b112*b522 + 
    8712*b112*b523 + 12012*b112*b524 + 5676*b112*b525 + 660*b112*b526 + 10824*
    b112*b527 + 4092*b112*b528 + 132*b112*b529 + 1296*b112*b531 + 2808*b112*
    b532 + 756*b112*b533 + 648*b112*b534 + 1404*b112*b535 + 378*b112*b536 + 288
    *b112*b537 + 624*b112*b538 + 168*b112*b539 + 24*b112*b543 + 52*b112*b544 + 
    14*b112*b545 + 1056*b112*b546 + 2288*b112*b547 + 616*b112*b548 + 768*b112*
    b549 + 1664*b112*b550 + 448*b112*b551 + 72*b112*b552 + 156*b112*b553 + 42*
    b112*b554 + 1728*b112*b555 + 3744*b112*b556 + 1008*b112*b557 + 2376*b112*
    b558 + 5148*b112*b559 + 1386*b112*b560 + 816*b112*b561 + 1768*b112*b562 + 
    476*b112*b563 + 1080*b112*b564 + 2340*b112*b565 + 630*b112*b566 + 432*b112*
    b567 + 936*b112*b568 + 252*b112*b569 + 2304*b112*b570 + 4992*b112*b571 + 
    1344*b112*b572 + 1968*b112*b573 + 4264*b112*b574 + 1148*b112*b575 + 1896*
    b112*b576 + 4108*b112*b577 + 1106*b112*b578 + 1800*b112*b579 + 3900*b112*
    b580 + 1050*b112*b581 + 1992*b112*b582 + 4316*b112*b583 + 1162*b112*b584 + 
    1032*b112*b585 + 2236*b112*b586 + 602*b112*b587 + 624*b112*b588 + 1352*b112
    *b589 + 364*b112*b590 + 1944*b112*b591 + 4212*b112*b592 + 1134*b112*b593 + 
    936*b112*b594 + 2028*b112*b595 + 546*b112*b596 + 1584*b112*b597 + 3432*b112
    *b598 + 924*b112*b599 + 16490*b112*b600 + 9312*b112*b601 + 5044*b112*b602
     + 11640*b112*b603 + 8536*b112*b604 + 5820*b112*b605 + 9700*b112*b606 + 
    9506*b112*b607 + 582*b112*b608 + 13192*b112*b609 + 6790*b112*b610 + 12028*
    b112*b611 + 7566*b112*b612 + 12804*b112*b613 + 5044*b112*b614 + 17654*b112*
    b615 + 8342*b112*b616 + 970*b112*b617 + 15908*b112*b618 + 6014*b112*b619 + 
    194*b112*b620 + 1358*b112*b622 + 13774*b112*b623 + 840*b112*b624 + 1820*
    b112*b625 + 490*b112*b626 + 1144*b113*b136 + 4004*b113*b137 + 484*b113*b138
     + 1540*b113*b139 + 3608*b113*b140 + 1144*b113*b141 + 3036*b113*b142 + 2464
    *b113*b143 + 3784*b113*b144 + 1980*b113*b145 + 4004*b113*b146 + 2596*b113*
    b147 + 792*b113*b148 + 3344*b113*b149 + 792*b113*b150 + 2508*b113*b151 + 
    1584*b113*b152 + 2684*b113*b153 + 1584*b113*b154 + 924*b113*b155 + 3124*
    b113*b156 + 3692*b113*b158 + 12922*b113*b159 + 1562*b113*b160 + 4970*b113*
    b161 + 11644*b113*b162 + 3692*b113*b163 + 9798*b113*b164 + 7952*b113*b165
     + 12212*b113*b166 + 6390*b113*b167 + 12922*b113*b168 + 8378*b113*b169 + 
    2556*b113*b170 + 10792*b113*b171 + 2556*b113*b172 + 8094*b113*b173 + 5112*
    b113*b174 + 8662*b113*b175 + 5112*b113*b176 + 2982*b113*b177 + 10082*b113*
    b178 + 3016*b113*b180 + 10556*b113*b181 + 1276*b113*b182 + 4060*b113*b183
     + 9512*b113*b184 + 3016*b113*b185 + 8004*b113*b186 + 6496*b113*b187 + 9976
    *b113*b188 + 5220*b113*b189 + 10556*b113*b190 + 6844*b113*b191 + 2088*b113*
    b192 + 8816*b113*b193 + 2088*b113*b194 + 6612*b113*b195 + 4176*b113*b196 + 
    7076*b113*b197 + 4176*b113*b198 + 2436*b113*b199 + 8236*b113*b200 + 2184*
    b113*b202 + 7644*b113*b203 + 924*b113*b204 + 2940*b113*b205 + 6888*b113*
    b206 + 2184*b113*b207 + 5796*b113*b208 + 4704*b113*b209 + 7224*b113*b210 + 
    3780*b113*b211 + 7644*b113*b212 + 4956*b113*b213 + 1512*b113*b214 + 6384*
    b113*b215 + 1512*b113*b216 + 4788*b113*b217 + 3024*b113*b218 + 5124*b113*
    b219 + 3024*b113*b220 + 1764*b113*b221 + 5964*b113*b222 + 4732*b113*b224 + 
    16562*b113*b225 + 2002*b113*b226 + 6370*b113*b227 + 14924*b113*b228 + 4732*
    b113*b229 + 12558*b113*b230 + 10192*b113*b231 + 15652*b113*b232 + 8190*b113
    *b233 + 16562*b113*b234 + 10738*b113*b235 + 3276*b113*b236 + 13832*b113*
    b237 + 3276*b113*b238 + 10374*b113*b239 + 6552*b113*b240 + 11102*b113*b241
     + 6552*b113*b242 + 3822*b113*b243 + 12922*b113*b244 + 2912*b113*b246 + 
    10192*b113*b247 + 1232*b113*b248 + 3920*b113*b249 + 9184*b113*b250 + 2912*
    b113*b251 + 7728*b113*b252 + 6272*b113*b253 + 9632*b113*b254 + 5040*b113*
    b255 + 10192*b113*b256 + 6608*b113*b257 + 2016*b113*b258 + 8512*b113*b259
     + 2016*b113*b260 + 6384*b113*b261 + 4032*b113*b262 + 6832*b113*b263 + 4032
    *b113*b264 + 2352*b113*b265 + 7952*b113*b266 + 1404*b113*b268 + 4914*b113*
    b269 + 594*b113*b270 + 1890*b113*b271 + 4428*b113*b272 + 1404*b113*b273 + 
    3726*b113*b274 + 3024*b113*b275 + 4644*b113*b276 + 2430*b113*b277 + 4914*
    b113*b278 + 3186*b113*b279 + 972*b113*b280 + 4104*b113*b281 + 972*b113*b282
     + 3078*b113*b283 + 1944*b113*b284 + 3294*b113*b285 + 1944*b113*b286 + 1134
    *b113*b287 + 3834*b113*b288 + 2912*b113*b290 + 10192*b113*b291 + 1232*b113*
    b292 + 3920*b113*b293 + 9184*b113*b294 + 2912*b113*b295 + 7728*b113*b296 + 
    6272*b113*b297 + 9632*b113*b298 + 5040*b113*b299 + 10192*b113*b300 + 6608*
    b113*b301 + 2016*b113*b302 + 8512*b113*b303 + 2016*b113*b304 + 6384*b113*
    b305 + 4032*b113*b306 + 6832*b113*b307 + 4032*b113*b308 + 2352*b113*b309 + 
    7952*b113*b310 + 1456*b113*b312 + 5096*b113*b313 + 616*b113*b314 + 1960*
    b113*b315 + 4592*b113*b316 + 1456*b113*b317 + 3864*b113*b318 + 3136*b113*
    b319 + 4816*b113*b320 + 2520*b113*b321 + 5096*b113*b322 + 3304*b113*b323 + 
    1008*b113*b324 + 4256*b113*b325 + 1008*b113*b326 + 3192*b113*b327 + 2016*
    b113*b328 + 3416*b113*b329 + 2016*b113*b330 + 1176*b113*b331 + 3976*b113*
    b332 + 3328*b113*b334 + 11648*b113*b335 + 1408*b113*b336 + 4480*b113*b337
     + 10496*b113*b338 + 3328*b113*b339 + 8832*b113*b340 + 7168*b113*b341 + 
    11008*b113*b342 + 5760*b113*b343 + 11648*b113*b344 + 7552*b113*b345 + 2304*
    b113*b346 + 9728*b113*b347 + 2304*b113*b348 + 7296*b113*b349 + 4608*b113*
    b350 + 7808*b113*b351 + 4608*b113*b352 + 2688*b113*b353 + 9088*b113*b354 + 
    5096*b113*b356 + 17836*b113*b357 + 2156*b113*b358 + 6860*b113*b359 + 16072*
    b113*b360 + 5096*b113*b361 + 13524*b113*b362 + 10976*b113*b363 + 16856*b113
    *b364 + 8820*b113*b365 + 17836*b113*b366 + 11564*b113*b367 + 3528*b113*b368
     + 14896*b113*b369 + 3528*b113*b370 + 11172*b113*b371 + 7056*b113*b372 + 
    11956*b113*b373 + 7056*b113*b374 + 4116*b113*b375 + 13916*b113*b376 + 3588*
    b113*b378 + 12558*b113*b379 + 1518*b113*b380 + 4830*b113*b381 + 11316*b113*
    b382 + 3588*b113*b383 + 9522*b113*b384 + 7728*b113*b385 + 11868*b113*b386
     + 6210*b113*b387 + 12558*b113*b388 + 8142*b113*b389 + 2484*b113*b390 + 
    10488*b113*b391 + 2484*b113*b392 + 7866*b113*b393 + 4968*b113*b394 + 8418*
    b113*b395 + 4968*b113*b396 + 2898*b113*b397 + 9798*b113*b398 + 3588*b113*
    b400 + 12558*b113*b401 + 1518*b113*b402 + 4830*b113*b403 + 11316*b113*b404
     + 3588*b113*b405 + 9522*b113*b406 + 7728*b113*b407 + 11868*b113*b408 + 
    6210*b113*b409 + 12558*b113*b410 + 8142*b113*b411 + 2484*b113*b412 + 10488*
    b113*b413 + 2484*b113*b414 + 7866*b113*b415 + 4968*b113*b416 + 8418*b113*
    b417 + 4968*b113*b418 + 2898*b113*b419 + 9798*b113*b420 + 4836*b113*b422 + 
    16926*b113*b423 + 2046*b113*b424 + 6510*b113*b425 + 15252*b113*b426 + 4836*
    b113*b427 + 12834*b113*b428 + 10416*b113*b429 + 15996*b113*b430 + 8370*b113
    *b431 + 16926*b113*b432 + 10974*b113*b433 + 3348*b113*b434 + 14136*b113*
    b435 + 3348*b113*b436 + 10602*b113*b437 + 6696*b113*b438 + 11346*b113*b439
     + 6696*b113*b440 + 3906*b113*b441 + 13206*b113*b442 + 1820*b113*b444 + 
    6370*b113*b445 + 770*b113*b446 + 2450*b113*b447 + 5740*b113*b448 + 1820*
    b113*b449 + 4830*b113*b450 + 3920*b113*b451 + 6020*b113*b452 + 3150*b113*
    b453 + 6370*b113*b454 + 4130*b113*b455 + 1260*b113*b456 + 5320*b113*b457 + 
    1260*b113*b458 + 3990*b113*b459 + 2520*b113*b460 + 4270*b113*b461 + 2520*
    b113*b462 + 1470*b113*b463 + 4970*b113*b464 + 2132*b113*b466 + 7462*b113*
    b467 + 902*b113*b468 + 2870*b113*b469 + 6724*b113*b470 + 2132*b113*b471 + 
    5658*b113*b472 + 4592*b113*b473 + 7052*b113*b474 + 3690*b113*b475 + 7462*
    b113*b476 + 4838*b113*b477 + 1476*b113*b478 + 6232*b113*b479 + 1476*b113*
    b480 + 4674*b113*b481 + 2952*b113*b482 + 5002*b113*b483 + 2952*b113*b484 + 
    1722*b113*b485 + 5822*b113*b486 + 3484*b113*b488 + 12194*b113*b489 + 1474*
    b113*b490 + 4690*b113*b491 + 10988*b113*b492 + 3484*b113*b493 + 9246*b113*
    b494 + 7504*b113*b495 + 11524*b113*b496 + 6030*b113*b497 + 12194*b113*b498
     + 7906*b113*b499 + 2412*b113*b500 + 10184*b113*b501 + 2412*b113*b502 + 
    7638*b113*b503 + 4824*b113*b504 + 8174*b113*b505 + 4824*b113*b506 + 2814*
    b113*b507 + 9514*b113*b508 + 624*b113*b510 + 2184*b113*b511 + 264*b113*b512
     + 840*b113*b513 + 1968*b113*b514 + 624*b113*b515 + 1656*b113*b516 + 1344*
    b113*b517 + 2064*b113*b518 + 1080*b113*b519 + 2184*b113*b520 + 1416*b113*
    b521 + 432*b113*b522 + 1824*b113*b523 + 432*b113*b524 + 1368*b113*b525 + 
    864*b113*b526 + 1464*b113*b527 + 864*b113*b528 + 504*b113*b529 + 1704*b113*
    b530 + 1554*b113*b531 + 2886*b113*b532 + 814*b113*b533 + 3444*b113*b534 + 
    6396*b113*b535 + 1804*b113*b536 + 3822*b113*b537 + 7098*b113*b538 + 2002*
    b113*b539 + 42*b113*b540 + 78*b113*b541 + 22*b113*b542 + 924*b113*b546 + 
    1716*b113*b547 + 484*b113*b548 + 2982*b113*b549 + 5538*b113*b550 + 1562*
    b113*b551 + 2436*b113*b552 + 4524*b113*b553 + 1276*b113*b554 + 1764*b113*
    b555 + 3276*b113*b556 + 924*b113*b557 + 3822*b113*b558 + 7098*b113*b559 + 
    2002*b113*b560 + 2352*b113*b561 + 4368*b113*b562 + 1232*b113*b563 + 1134*
    b113*b564 + 2106*b113*b565 + 594*b113*b566 + 2352*b113*b567 + 4368*b113*
    b568 + 1232*b113*b569 + 1176*b113*b570 + 2184*b113*b571 + 616*b113*b572 + 
    2688*b113*b573 + 4992*b113*b574 + 1408*b113*b575 + 4116*b113*b576 + 7644*
    b113*b577 + 2156*b113*b578 + 2898*b113*b579 + 5382*b113*b580 + 1518*b113*
    b581 + 2898*b113*b582 + 5382*b113*b583 + 1518*b113*b584 + 3906*b113*b585 + 
    7254*b113*b586 + 2046*b113*b587 + 1470*b113*b588 + 2730*b113*b589 + 770*
    b113*b590 + 1722*b113*b591 + 3198*b113*b592 + 902*b113*b593 + 2814*b113*
    b594 + 5226*b113*b595 + 1474*b113*b596 + 504*b113*b597 + 936*b113*b598 + 
    264*b113*b599 + 260*b113*b600 + 910*b113*b601 + 110*b113*b602 + 350*b113*
    b603 + 820*b113*b604 + 260*b113*b605 + 690*b113*b606 + 560*b113*b607 + 860*
    b113*b608 + 450*b113*b609 + 910*b113*b610 + 590*b113*b611 + 180*b113*b612
     + 760*b113*b613 + 390*b113*b614 + 180*b113*b615 + 570*b113*b616 + 360*b113
    *b617 + 610*b113*b618 + 360*b113*b619 + 210*b113*b620 + 710*b113*b621 + 110
    *b113*b622 + 378*b113*b624 + 702*b113*b625 + 198*b113*b626 + 1144*b114*b135
     + 1276*b114*b137 + 3608*b114*b138 + 3608*b114*b139 + 264*b114*b140 + 3124*
    b114*b141 + 352*b114*b142 + 3388*b114*b143 + 3256*b114*b144 + 1320*b114*
    b145 + 3916*b114*b146 + 3344*b114*b147 + 3344*b114*b148 + 1760*b114*b149 + 
    2464*b114*b150 + 44*b114*b151 + 2200*b114*b152 + 176*b114*b153 + 1584*b114*
    b154 + 1188*b114*b155 + 3740*b114*b156 + 3692*b114*b157 + 4118*b114*b159 + 
    11644*b114*b160 + 11644*b114*b161 + 852*b114*b162 + 10082*b114*b163 + 1136*
    b114*b164 + 10934*b114*b165 + 10508*b114*b166 + 4260*b114*b167 + 12638*b114
    *b168 + 10792*b114*b169 + 10792*b114*b170 + 5680*b114*b171 + 7952*b114*b172
     + 142*b114*b173 + 7100*b114*b174 + 568*b114*b175 + 5112*b114*b176 + 3834*
    b114*b177 + 12070*b114*b178 + 3016*b114*b179 + 3364*b114*b181 + 9512*b114*
    b182 + 9512*b114*b183 + 696*b114*b184 + 8236*b114*b185 + 928*b114*b186 + 
    8932*b114*b187 + 8584*b114*b188 + 3480*b114*b189 + 10324*b114*b190 + 8816*
    b114*b191 + 8816*b114*b192 + 4640*b114*b193 + 6496*b114*b194 + 116*b114*
    b195 + 5800*b114*b196 + 464*b114*b197 + 4176*b114*b198 + 3132*b114*b199 + 
    9860*b114*b200 + 2184*b114*b201 + 2436*b114*b203 + 6888*b114*b204 + 6888*
    b114*b205 + 504*b114*b206 + 5964*b114*b207 + 672*b114*b208 + 6468*b114*b209
     + 6216*b114*b210 + 2520*b114*b211 + 7476*b114*b212 + 6384*b114*b213 + 6384
    *b114*b214 + 3360*b114*b215 + 4704*b114*b216 + 84*b114*b217 + 4200*b114*
    b218 + 336*b114*b219 + 3024*b114*b220 + 2268*b114*b221 + 7140*b114*b222 + 
    4732*b114*b223 + 5278*b114*b225 + 14924*b114*b226 + 14924*b114*b227 + 1092*
    b114*b228 + 12922*b114*b229 + 1456*b114*b230 + 14014*b114*b231 + 13468*b114
    *b232 + 5460*b114*b233 + 16198*b114*b234 + 13832*b114*b235 + 13832*b114*
    b236 + 7280*b114*b237 + 10192*b114*b238 + 182*b114*b239 + 9100*b114*b240 + 
    728*b114*b241 + 6552*b114*b242 + 4914*b114*b243 + 15470*b114*b244 + 2912*
    b114*b245 + 3248*b114*b247 + 9184*b114*b248 + 9184*b114*b249 + 672*b114*
    b250 + 7952*b114*b251 + 896*b114*b252 + 8624*b114*b253 + 8288*b114*b254 + 
    3360*b114*b255 + 9968*b114*b256 + 8512*b114*b257 + 8512*b114*b258 + 4480*
    b114*b259 + 6272*b114*b260 + 112*b114*b261 + 5600*b114*b262 + 448*b114*b263
     + 4032*b114*b264 + 3024*b114*b265 + 9520*b114*b266 + 1404*b114*b267 + 1566
    *b114*b269 + 4428*b114*b270 + 4428*b114*b271 + 324*b114*b272 + 3834*b114*
    b273 + 432*b114*b274 + 4158*b114*b275 + 3996*b114*b276 + 1620*b114*b277 + 
    4806*b114*b278 + 4104*b114*b279 + 4104*b114*b280 + 2160*b114*b281 + 3024*
    b114*b282 + 54*b114*b283 + 2700*b114*b284 + 216*b114*b285 + 1944*b114*b286
     + 1458*b114*b287 + 4590*b114*b288 + 2912*b114*b289 + 3248*b114*b291 + 9184
    *b114*b292 + 9184*b114*b293 + 672*b114*b294 + 7952*b114*b295 + 896*b114*
    b296 + 8624*b114*b297 + 8288*b114*b298 + 3360*b114*b299 + 9968*b114*b300 + 
    8512*b114*b301 + 8512*b114*b302 + 4480*b114*b303 + 6272*b114*b304 + 112*
    b114*b305 + 5600*b114*b306 + 448*b114*b307 + 4032*b114*b308 + 3024*b114*
    b309 + 9520*b114*b310 + 1456*b114*b311 + 1624*b114*b313 + 4592*b114*b314 + 
    4592*b114*b315 + 336*b114*b316 + 3976*b114*b317 + 448*b114*b318 + 4312*b114
    *b319 + 4144*b114*b320 + 1680*b114*b321 + 4984*b114*b322 + 4256*b114*b323
     + 4256*b114*b324 + 2240*b114*b325 + 3136*b114*b326 + 56*b114*b327 + 2800*
    b114*b328 + 224*b114*b329 + 2016*b114*b330 + 1512*b114*b331 + 4760*b114*
    b332 + 3328*b114*b333 + 3712*b114*b335 + 10496*b114*b336 + 10496*b114*b337
     + 768*b114*b338 + 9088*b114*b339 + 1024*b114*b340 + 9856*b114*b341 + 9472*
    b114*b342 + 3840*b114*b343 + 11392*b114*b344 + 9728*b114*b345 + 9728*b114*
    b346 + 5120*b114*b347 + 7168*b114*b348 + 128*b114*b349 + 6400*b114*b350 + 
    512*b114*b351 + 4608*b114*b352 + 3456*b114*b353 + 10880*b114*b354 + 5096*
    b114*b355 + 5684*b114*b357 + 16072*b114*b358 + 16072*b114*b359 + 1176*b114*
    b360 + 13916*b114*b361 + 1568*b114*b362 + 15092*b114*b363 + 14504*b114*b364
     + 5880*b114*b365 + 17444*b114*b366 + 14896*b114*b367 + 14896*b114*b368 + 
    7840*b114*b369 + 10976*b114*b370 + 196*b114*b371 + 9800*b114*b372 + 784*
    b114*b373 + 7056*b114*b374 + 5292*b114*b375 + 16660*b114*b376 + 3588*b114*
    b377 + 4002*b114*b379 + 11316*b114*b380 + 11316*b114*b381 + 828*b114*b382
     + 9798*b114*b383 + 1104*b114*b384 + 10626*b114*b385 + 10212*b114*b386 + 
    4140*b114*b387 + 12282*b114*b388 + 10488*b114*b389 + 10488*b114*b390 + 5520
    *b114*b391 + 7728*b114*b392 + 138*b114*b393 + 6900*b114*b394 + 552*b114*
    b395 + 4968*b114*b396 + 3726*b114*b397 + 11730*b114*b398 + 3588*b114*b399
     + 4002*b114*b401 + 11316*b114*b402 + 11316*b114*b403 + 828*b114*b404 + 
    9798*b114*b405 + 1104*b114*b406 + 10626*b114*b407 + 10212*b114*b408 + 4140*
    b114*b409 + 12282*b114*b410 + 10488*b114*b411 + 10488*b114*b412 + 5520*b114
    *b413 + 7728*b114*b414 + 138*b114*b415 + 6900*b114*b416 + 552*b114*b417 + 
    4968*b114*b418 + 3726*b114*b419 + 11730*b114*b420 + 4836*b114*b421 + 5394*
    b114*b423 + 15252*b114*b424 + 15252*b114*b425 + 1116*b114*b426 + 13206*b114
    *b427 + 1488*b114*b428 + 14322*b114*b429 + 13764*b114*b430 + 5580*b114*b431
     + 16554*b114*b432 + 14136*b114*b433 + 14136*b114*b434 + 7440*b114*b435 + 
    10416*b114*b436 + 186*b114*b437 + 9300*b114*b438 + 744*b114*b439 + 6696*
    b114*b440 + 5022*b114*b441 + 15810*b114*b442 + 1820*b114*b443 + 2030*b114*
    b445 + 5740*b114*b446 + 5740*b114*b447 + 420*b114*b448 + 4970*b114*b449 + 
    560*b114*b450 + 5390*b114*b451 + 5180*b114*b452 + 2100*b114*b453 + 6230*
    b114*b454 + 5320*b114*b455 + 5320*b114*b456 + 2800*b114*b457 + 3920*b114*
    b458 + 70*b114*b459 + 3500*b114*b460 + 280*b114*b461 + 2520*b114*b462 + 
    1890*b114*b463 + 5950*b114*b464 + 2132*b114*b465 + 2378*b114*b467 + 6724*
    b114*b468 + 6724*b114*b469 + 492*b114*b470 + 5822*b114*b471 + 656*b114*b472
     + 6314*b114*b473 + 6068*b114*b474 + 2460*b114*b475 + 7298*b114*b476 + 6232
    *b114*b477 + 6232*b114*b478 + 3280*b114*b479 + 4592*b114*b480 + 82*b114*
    b481 + 4100*b114*b482 + 328*b114*b483 + 2952*b114*b484 + 2214*b114*b485 + 
    6970*b114*b486 + 3484*b114*b487 + 3886*b114*b489 + 10988*b114*b490 + 10988*
    b114*b491 + 804*b114*b492 + 9514*b114*b493 + 1072*b114*b494 + 10318*b114*
    b495 + 9916*b114*b496 + 4020*b114*b497 + 11926*b114*b498 + 10184*b114*b499
     + 10184*b114*b500 + 5360*b114*b501 + 7504*b114*b502 + 134*b114*b503 + 6700
    *b114*b504 + 536*b114*b505 + 4824*b114*b506 + 3618*b114*b507 + 11390*b114*
    b508 + 624*b114*b509 + 696*b114*b511 + 1968*b114*b512 + 1968*b114*b513 + 
    144*b114*b514 + 1704*b114*b515 + 192*b114*b516 + 1848*b114*b517 + 1776*b114
    *b518 + 720*b114*b519 + 2136*b114*b520 + 1824*b114*b521 + 1824*b114*b522 + 
    960*b114*b523 + 1344*b114*b524 + 24*b114*b525 + 1200*b114*b526 + 96*b114*
    b527 + 864*b114*b528 + 648*b114*b529 + 2040*b114*b530 + 7030*b114*b531 + 
    6882*b114*b532 + 148*b114*b533 + 15580*b114*b534 + 15252*b114*b535 + 328*
    b114*b536 + 17290*b114*b537 + 16926*b114*b538 + 364*b114*b539 + 190*b114*
    b540 + 186*b114*b541 + 4*b114*b542 + 4180*b114*b546 + 4092*b114*b547 + 88*
    b114*b548 + 13490*b114*b549 + 13206*b114*b550 + 284*b114*b551 + 11020*b114*
    b552 + 10788*b114*b553 + 232*b114*b554 + 7980*b114*b555 + 7812*b114*b556 + 
    168*b114*b557 + 17290*b114*b558 + 16926*b114*b559 + 364*b114*b560 + 10640*
    b114*b561 + 10416*b114*b562 + 224*b114*b563 + 5130*b114*b564 + 5022*b114*
    b565 + 108*b114*b566 + 10640*b114*b567 + 10416*b114*b568 + 224*b114*b569 + 
    5320*b114*b570 + 5208*b114*b571 + 112*b114*b572 + 12160*b114*b573 + 11904*
    b114*b574 + 256*b114*b575 + 18620*b114*b576 + 18228*b114*b577 + 392*b114*
    b578 + 13110*b114*b579 + 12834*b114*b580 + 276*b114*b581 + 13110*b114*b582
     + 12834*b114*b583 + 276*b114*b584 + 17670*b114*b585 + 17298*b114*b586 + 
    372*b114*b587 + 6650*b114*b588 + 6510*b114*b589 + 140*b114*b590 + 7790*b114
    *b591 + 7626*b114*b592 + 164*b114*b593 + 12730*b114*b594 + 12462*b114*b595
     + 268*b114*b596 + 2280*b114*b597 + 2232*b114*b598 + 48*b114*b599 + 290*
    b114*b601 + 820*b114*b602 + 820*b114*b603 + 60*b114*b604 + 710*b114*b605 + 
    80*b114*b606 + 770*b114*b607 + 740*b114*b608 + 300*b114*b609 + 890*b114*
    b610 + 760*b114*b611 + 760*b114*b612 + 400*b114*b613 + 930*b114*b614 + 560*
    b114*b615 + 10*b114*b616 + 500*b114*b617 + 40*b114*b618 + 360*b114*b619 + 
    270*b114*b620 + 850*b114*b621 + 20*b114*b622 + 260*b114*b623 + 1710*b114*
    b624 + 1674*b114*b625 + 36*b114*b626 + 4004*b115*b135 + 1276*b115*b136 + 44
    *b115*b138 + 660*b115*b139 + 484*b115*b140 + 1540*b115*b141 + 484*b115*b142
     + 880*b115*b143 + 924*b115*b144 + 2684*b115*b145 + 3520*b115*b146 + 2552*
    b115*b147 + 924*b115*b148 + 3344*b115*b149 + 1936*b115*b150 + 3740*b115*
    b151 + 4136*b115*b152 + 3960*b115*b153 + 2244*b115*b154 + 132*b115*b155 + 
    2112*b115*b156 + 12922*b115*b157 + 4118*b115*b158 + 142*b115*b160 + 2130*
    b115*b161 + 1562*b115*b162 + 4970*b115*b163 + 1562*b115*b164 + 2840*b115*
    b165 + 2982*b115*b166 + 8662*b115*b167 + 11360*b115*b168 + 8236*b115*b169
     + 2982*b115*b170 + 10792*b115*b171 + 6248*b115*b172 + 12070*b115*b173 + 
    13348*b115*b174 + 12780*b115*b175 + 7242*b115*b176 + 426*b115*b177 + 6816*
    b115*b178 + 10556*b115*b179 + 3364*b115*b180 + 116*b115*b182 + 1740*b115*
    b183 + 1276*b115*b184 + 4060*b115*b185 + 1276*b115*b186 + 2320*b115*b187 + 
    2436*b115*b188 + 7076*b115*b189 + 9280*b115*b190 + 6728*b115*b191 + 2436*
    b115*b192 + 8816*b115*b193 + 5104*b115*b194 + 9860*b115*b195 + 10904*b115*
    b196 + 10440*b115*b197 + 5916*b115*b198 + 348*b115*b199 + 5568*b115*b200 + 
    7644*b115*b201 + 2436*b115*b202 + 84*b115*b204 + 1260*b115*b205 + 924*b115*
    b206 + 2940*b115*b207 + 924*b115*b208 + 1680*b115*b209 + 1764*b115*b210 + 
    5124*b115*b211 + 6720*b115*b212 + 4872*b115*b213 + 1764*b115*b214 + 6384*
    b115*b215 + 3696*b115*b216 + 7140*b115*b217 + 7896*b115*b218 + 7560*b115*
    b219 + 4284*b115*b220 + 252*b115*b221 + 4032*b115*b222 + 16562*b115*b223 + 
    5278*b115*b224 + 182*b115*b226 + 2730*b115*b227 + 2002*b115*b228 + 6370*
    b115*b229 + 2002*b115*b230 + 3640*b115*b231 + 3822*b115*b232 + 11102*b115*
    b233 + 14560*b115*b234 + 10556*b115*b235 + 3822*b115*b236 + 13832*b115*b237
     + 8008*b115*b238 + 15470*b115*b239 + 17108*b115*b240 + 16380*b115*b241 + 
    9282*b115*b242 + 546*b115*b243 + 8736*b115*b244 + 10192*b115*b245 + 3248*
    b115*b246 + 112*b115*b248 + 1680*b115*b249 + 1232*b115*b250 + 3920*b115*
    b251 + 1232*b115*b252 + 2240*b115*b253 + 2352*b115*b254 + 6832*b115*b255 + 
    8960*b115*b256 + 6496*b115*b257 + 2352*b115*b258 + 8512*b115*b259 + 4928*
    b115*b260 + 9520*b115*b261 + 10528*b115*b262 + 10080*b115*b263 + 5712*b115*
    b264 + 336*b115*b265 + 5376*b115*b266 + 4914*b115*b267 + 1566*b115*b268 + 
    54*b115*b270 + 810*b115*b271 + 594*b115*b272 + 1890*b115*b273 + 594*b115*
    b274 + 1080*b115*b275 + 1134*b115*b276 + 3294*b115*b277 + 4320*b115*b278 + 
    3132*b115*b279 + 1134*b115*b280 + 4104*b115*b281 + 2376*b115*b282 + 4590*
    b115*b283 + 5076*b115*b284 + 4860*b115*b285 + 2754*b115*b286 + 162*b115*
    b287 + 2592*b115*b288 + 10192*b115*b289 + 3248*b115*b290 + 112*b115*b292 + 
    1680*b115*b293 + 1232*b115*b294 + 3920*b115*b295 + 1232*b115*b296 + 2240*
    b115*b297 + 2352*b115*b298 + 6832*b115*b299 + 8960*b115*b300 + 6496*b115*
    b301 + 2352*b115*b302 + 8512*b115*b303 + 4928*b115*b304 + 9520*b115*b305 + 
    10528*b115*b306 + 10080*b115*b307 + 5712*b115*b308 + 336*b115*b309 + 5376*
    b115*b310 + 5096*b115*b311 + 1624*b115*b312 + 56*b115*b314 + 840*b115*b315
     + 616*b115*b316 + 1960*b115*b317 + 616*b115*b318 + 1120*b115*b319 + 1176*
    b115*b320 + 3416*b115*b321 + 4480*b115*b322 + 3248*b115*b323 + 1176*b115*
    b324 + 4256*b115*b325 + 2464*b115*b326 + 4760*b115*b327 + 5264*b115*b328 + 
    5040*b115*b329 + 2856*b115*b330 + 168*b115*b331 + 2688*b115*b332 + 11648*
    b115*b333 + 3712*b115*b334 + 128*b115*b336 + 1920*b115*b337 + 1408*b115*
    b338 + 4480*b115*b339 + 1408*b115*b340 + 2560*b115*b341 + 2688*b115*b342 + 
    7808*b115*b343 + 10240*b115*b344 + 7424*b115*b345 + 2688*b115*b346 + 9728*
    b115*b347 + 5632*b115*b348 + 10880*b115*b349 + 12032*b115*b350 + 11520*b115
    *b351 + 6528*b115*b352 + 384*b115*b353 + 6144*b115*b354 + 17836*b115*b355
     + 5684*b115*b356 + 196*b115*b358 + 2940*b115*b359 + 2156*b115*b360 + 6860*
    b115*b361 + 2156*b115*b362 + 3920*b115*b363 + 4116*b115*b364 + 11956*b115*
    b365 + 15680*b115*b366 + 11368*b115*b367 + 4116*b115*b368 + 14896*b115*b369
     + 8624*b115*b370 + 16660*b115*b371 + 18424*b115*b372 + 17640*b115*b373 + 
    9996*b115*b374 + 588*b115*b375 + 9408*b115*b376 + 12558*b115*b377 + 4002*
    b115*b378 + 138*b115*b380 + 2070*b115*b381 + 1518*b115*b382 + 4830*b115*
    b383 + 1518*b115*b384 + 2760*b115*b385 + 2898*b115*b386 + 8418*b115*b387 + 
    11040*b115*b388 + 8004*b115*b389 + 2898*b115*b390 + 10488*b115*b391 + 6072*
    b115*b392 + 11730*b115*b393 + 12972*b115*b394 + 12420*b115*b395 + 7038*b115
    *b396 + 414*b115*b397 + 6624*b115*b398 + 12558*b115*b399 + 4002*b115*b400
     + 138*b115*b402 + 2070*b115*b403 + 1518*b115*b404 + 4830*b115*b405 + 1518*
    b115*b406 + 2760*b115*b407 + 2898*b115*b408 + 8418*b115*b409 + 11040*b115*
    b410 + 8004*b115*b411 + 2898*b115*b412 + 10488*b115*b413 + 6072*b115*b414
     + 11730*b115*b415 + 12972*b115*b416 + 12420*b115*b417 + 7038*b115*b418 + 
    414*b115*b419 + 6624*b115*b420 + 16926*b115*b421 + 5394*b115*b422 + 186*
    b115*b424 + 2790*b115*b425 + 2046*b115*b426 + 6510*b115*b427 + 2046*b115*
    b428 + 3720*b115*b429 + 3906*b115*b430 + 11346*b115*b431 + 14880*b115*b432
     + 10788*b115*b433 + 3906*b115*b434 + 14136*b115*b435 + 8184*b115*b436 + 
    15810*b115*b437 + 17484*b115*b438 + 16740*b115*b439 + 9486*b115*b440 + 558*
    b115*b441 + 8928*b115*b442 + 6370*b115*b443 + 2030*b115*b444 + 70*b115*b446
     + 1050*b115*b447 + 770*b115*b448 + 2450*b115*b449 + 770*b115*b450 + 1400*
    b115*b451 + 1470*b115*b452 + 4270*b115*b453 + 5600*b115*b454 + 4060*b115*
    b455 + 1470*b115*b456 + 5320*b115*b457 + 3080*b115*b458 + 5950*b115*b459 + 
    6580*b115*b460 + 6300*b115*b461 + 3570*b115*b462 + 210*b115*b463 + 3360*
    b115*b464 + 7462*b115*b465 + 2378*b115*b466 + 82*b115*b468 + 1230*b115*b469
     + 902*b115*b470 + 2870*b115*b471 + 902*b115*b472 + 1640*b115*b473 + 1722*
    b115*b474 + 5002*b115*b475 + 6560*b115*b476 + 4756*b115*b477 + 1722*b115*
    b478 + 6232*b115*b479 + 3608*b115*b480 + 6970*b115*b481 + 7708*b115*b482 + 
    7380*b115*b483 + 4182*b115*b484 + 246*b115*b485 + 3936*b115*b486 + 12194*
    b115*b487 + 3886*b115*b488 + 134*b115*b490 + 2010*b115*b491 + 1474*b115*
    b492 + 4690*b115*b493 + 1474*b115*b494 + 2680*b115*b495 + 2814*b115*b496 + 
    8174*b115*b497 + 10720*b115*b498 + 7772*b115*b499 + 2814*b115*b500 + 10184*
    b115*b501 + 5896*b115*b502 + 11390*b115*b503 + 12596*b115*b504 + 12060*b115
    *b505 + 6834*b115*b506 + 402*b115*b507 + 6432*b115*b508 + 2184*b115*b509 + 
    696*b115*b510 + 24*b115*b512 + 360*b115*b513 + 264*b115*b514 + 840*b115*
    b515 + 264*b115*b516 + 480*b115*b517 + 504*b115*b518 + 1464*b115*b519 + 
    1920*b115*b520 + 1392*b115*b521 + 504*b115*b522 + 1824*b115*b523 + 1056*
    b115*b524 + 2040*b115*b525 + 2256*b115*b526 + 2160*b115*b527 + 1224*b115*
    b528 + 72*b115*b529 + 1152*b115*b530 + 6068*b115*b531 + 5328*b115*b532 + 
    2146*b115*b533 + 13448*b115*b534 + 11808*b115*b535 + 4756*b115*b536 + 14924
    *b115*b537 + 13104*b115*b538 + 5278*b115*b539 + 164*b115*b540 + 144*b115*
    b541 + 58*b115*b542 + 3608*b115*b546 + 3168*b115*b547 + 1276*b115*b548 + 
    11644*b115*b549 + 10224*b115*b550 + 4118*b115*b551 + 9512*b115*b552 + 8352*
    b115*b553 + 3364*b115*b554 + 6888*b115*b555 + 6048*b115*b556 + 2436*b115*
    b557 + 14924*b115*b558 + 13104*b115*b559 + 5278*b115*b560 + 9184*b115*b561
     + 8064*b115*b562 + 3248*b115*b563 + 4428*b115*b564 + 3888*b115*b565 + 1566
    *b115*b566 + 9184*b115*b567 + 8064*b115*b568 + 3248*b115*b569 + 4592*b115*
    b570 + 4032*b115*b571 + 1624*b115*b572 + 10496*b115*b573 + 9216*b115*b574
     + 3712*b115*b575 + 16072*b115*b576 + 14112*b115*b577 + 5684*b115*b578 + 
    11316*b115*b579 + 9936*b115*b580 + 4002*b115*b581 + 11316*b115*b582 + 9936*
    b115*b583 + 4002*b115*b584 + 15252*b115*b585 + 13392*b115*b586 + 5394*b115*
    b587 + 5740*b115*b588 + 5040*b115*b589 + 2030*b115*b590 + 6724*b115*b591 + 
    5904*b115*b592 + 2378*b115*b593 + 10988*b115*b594 + 9648*b115*b595 + 3886*
    b115*b596 + 1968*b115*b597 + 1728*b115*b598 + 696*b115*b599 + 290*b115*b600
     + 10*b115*b602 + 150*b115*b603 + 110*b115*b604 + 350*b115*b605 + 110*b115*
    b606 + 200*b115*b607 + 210*b115*b608 + 610*b115*b609 + 800*b115*b610 + 580*
    b115*b611 + 210*b115*b612 + 760*b115*b613 + 720*b115*b614 + 440*b115*b615
     + 850*b115*b616 + 940*b115*b617 + 900*b115*b618 + 510*b115*b619 + 30*b115*
    b620 + 480*b115*b621 + 290*b115*b622 + 910*b115*b623 + 1476*b115*b624 + 
    1296*b115*b625 + 522*b115*b626 + 484*b116*b135 + 3608*b116*b136 + 44*b116*
    b137 + 3960*b116*b139 + 2904*b116*b140 + 1804*b116*b141 + 660*b116*b142 + 
    3652*b116*b143 + 4224*b116*b144 + 3256*b116*b145 + 1980*b116*b146 + 2860*
    b116*b147 + 1760*b116*b148 + 2376*b116*b149 + 616*b116*b150 + 3124*b116*
    b151 + 3388*b116*b152 + 1584*b116*b153 + 2332*b116*b154 + 1628*b116*b155 + 
    1144*b116*b156 + 1562*b116*b157 + 11644*b116*b158 + 142*b116*b159 + 12780*
    b116*b161 + 9372*b116*b162 + 5822*b116*b163 + 2130*b116*b164 + 11786*b116*
    b165 + 13632*b116*b166 + 10508*b116*b167 + 6390*b116*b168 + 9230*b116*b169
     + 5680*b116*b170 + 7668*b116*b171 + 1988*b116*b172 + 10082*b116*b173 + 
    10934*b116*b174 + 5112*b116*b175 + 7526*b116*b176 + 5254*b116*b177 + 3692*
    b116*b178 + 1276*b116*b179 + 9512*b116*b180 + 116*b116*b181 + 10440*b116*
    b183 + 7656*b116*b184 + 4756*b116*b185 + 1740*b116*b186 + 9628*b116*b187 + 
    11136*b116*b188 + 8584*b116*b189 + 5220*b116*b190 + 7540*b116*b191 + 4640*
    b116*b192 + 6264*b116*b193 + 1624*b116*b194 + 8236*b116*b195 + 8932*b116*
    b196 + 4176*b116*b197 + 6148*b116*b198 + 4292*b116*b199 + 3016*b116*b200 + 
    924*b116*b201 + 6888*b116*b202 + 84*b116*b203 + 7560*b116*b205 + 5544*b116*
    b206 + 3444*b116*b207 + 1260*b116*b208 + 6972*b116*b209 + 8064*b116*b210 + 
    6216*b116*b211 + 3780*b116*b212 + 5460*b116*b213 + 3360*b116*b214 + 4536*
    b116*b215 + 1176*b116*b216 + 5964*b116*b217 + 6468*b116*b218 + 3024*b116*
    b219 + 4452*b116*b220 + 3108*b116*b221 + 2184*b116*b222 + 2002*b116*b223 + 
    14924*b116*b224 + 182*b116*b225 + 16380*b116*b227 + 12012*b116*b228 + 7462*
    b116*b229 + 2730*b116*b230 + 15106*b116*b231 + 17472*b116*b232 + 13468*b116
    *b233 + 8190*b116*b234 + 11830*b116*b235 + 7280*b116*b236 + 9828*b116*b237
     + 2548*b116*b238 + 12922*b116*b239 + 14014*b116*b240 + 6552*b116*b241 + 
    9646*b116*b242 + 6734*b116*b243 + 4732*b116*b244 + 1232*b116*b245 + 9184*
    b116*b246 + 112*b116*b247 + 10080*b116*b249 + 7392*b116*b250 + 4592*b116*
    b251 + 1680*b116*b252 + 9296*b116*b253 + 10752*b116*b254 + 8288*b116*b255
     + 5040*b116*b256 + 7280*b116*b257 + 4480*b116*b258 + 6048*b116*b259 + 1568
    *b116*b260 + 7952*b116*b261 + 8624*b116*b262 + 4032*b116*b263 + 5936*b116*
    b264 + 4144*b116*b265 + 2912*b116*b266 + 594*b116*b267 + 4428*b116*b268 + 
    54*b116*b269 + 4860*b116*b271 + 3564*b116*b272 + 2214*b116*b273 + 810*b116*
    b274 + 4482*b116*b275 + 5184*b116*b276 + 3996*b116*b277 + 2430*b116*b278 + 
    3510*b116*b279 + 2160*b116*b280 + 2916*b116*b281 + 756*b116*b282 + 3834*
    b116*b283 + 4158*b116*b284 + 1944*b116*b285 + 2862*b116*b286 + 1998*b116*
    b287 + 1404*b116*b288 + 1232*b116*b289 + 9184*b116*b290 + 112*b116*b291 + 
    10080*b116*b293 + 7392*b116*b294 + 4592*b116*b295 + 1680*b116*b296 + 9296*
    b116*b297 + 10752*b116*b298 + 8288*b116*b299 + 5040*b116*b300 + 7280*b116*
    b301 + 4480*b116*b302 + 6048*b116*b303 + 1568*b116*b304 + 7952*b116*b305 + 
    8624*b116*b306 + 4032*b116*b307 + 5936*b116*b308 + 4144*b116*b309 + 2912*
    b116*b310 + 616*b116*b311 + 4592*b116*b312 + 56*b116*b313 + 5040*b116*b315
     + 3696*b116*b316 + 2296*b116*b317 + 840*b116*b318 + 4648*b116*b319 + 5376*
    b116*b320 + 4144*b116*b321 + 2520*b116*b322 + 3640*b116*b323 + 2240*b116*
    b324 + 3024*b116*b325 + 784*b116*b326 + 3976*b116*b327 + 4312*b116*b328 + 
    2016*b116*b329 + 2968*b116*b330 + 2072*b116*b331 + 1456*b116*b332 + 1408*
    b116*b333 + 10496*b116*b334 + 128*b116*b335 + 11520*b116*b337 + 8448*b116*
    b338 + 5248*b116*b339 + 1920*b116*b340 + 10624*b116*b341 + 12288*b116*b342
     + 9472*b116*b343 + 5760*b116*b344 + 8320*b116*b345 + 5120*b116*b346 + 6912
    *b116*b347 + 1792*b116*b348 + 9088*b116*b349 + 9856*b116*b350 + 4608*b116*
    b351 + 6784*b116*b352 + 4736*b116*b353 + 3328*b116*b354 + 2156*b116*b355 + 
    16072*b116*b356 + 196*b116*b357 + 17640*b116*b359 + 12936*b116*b360 + 8036*
    b116*b361 + 2940*b116*b362 + 16268*b116*b363 + 18816*b116*b364 + 14504*b116
    *b365 + 8820*b116*b366 + 12740*b116*b367 + 7840*b116*b368 + 10584*b116*b369
     + 2744*b116*b370 + 13916*b116*b371 + 15092*b116*b372 + 7056*b116*b373 + 
    10388*b116*b374 + 7252*b116*b375 + 5096*b116*b376 + 1518*b116*b377 + 11316*
    b116*b378 + 138*b116*b379 + 12420*b116*b381 + 9108*b116*b382 + 5658*b116*
    b383 + 2070*b116*b384 + 11454*b116*b385 + 13248*b116*b386 + 10212*b116*b387
     + 6210*b116*b388 + 8970*b116*b389 + 5520*b116*b390 + 7452*b116*b391 + 1932
    *b116*b392 + 9798*b116*b393 + 10626*b116*b394 + 4968*b116*b395 + 7314*b116*
    b396 + 5106*b116*b397 + 3588*b116*b398 + 1518*b116*b399 + 11316*b116*b400
     + 138*b116*b401 + 12420*b116*b403 + 9108*b116*b404 + 5658*b116*b405 + 2070
    *b116*b406 + 11454*b116*b407 + 13248*b116*b408 + 10212*b116*b409 + 6210*
    b116*b410 + 8970*b116*b411 + 5520*b116*b412 + 7452*b116*b413 + 1932*b116*
    b414 + 9798*b116*b415 + 10626*b116*b416 + 4968*b116*b417 + 7314*b116*b418
     + 5106*b116*b419 + 3588*b116*b420 + 2046*b116*b421 + 15252*b116*b422 + 186
    *b116*b423 + 16740*b116*b425 + 12276*b116*b426 + 7626*b116*b427 + 2790*b116
    *b428 + 15438*b116*b429 + 17856*b116*b430 + 13764*b116*b431 + 8370*b116*
    b432 + 12090*b116*b433 + 7440*b116*b434 + 10044*b116*b435 + 2604*b116*b436
     + 13206*b116*b437 + 14322*b116*b438 + 6696*b116*b439 + 9858*b116*b440 + 
    6882*b116*b441 + 4836*b116*b442 + 770*b116*b443 + 5740*b116*b444 + 70*b116*
    b445 + 6300*b116*b447 + 4620*b116*b448 + 2870*b116*b449 + 1050*b116*b450 + 
    5810*b116*b451 + 6720*b116*b452 + 5180*b116*b453 + 3150*b116*b454 + 4550*
    b116*b455 + 2800*b116*b456 + 3780*b116*b457 + 980*b116*b458 + 4970*b116*
    b459 + 5390*b116*b460 + 2520*b116*b461 + 3710*b116*b462 + 2590*b116*b463 + 
    1820*b116*b464 + 902*b116*b465 + 6724*b116*b466 + 82*b116*b467 + 7380*b116*
    b469 + 5412*b116*b470 + 3362*b116*b471 + 1230*b116*b472 + 6806*b116*b473 + 
    7872*b116*b474 + 6068*b116*b475 + 3690*b116*b476 + 5330*b116*b477 + 3280*
    b116*b478 + 4428*b116*b479 + 1148*b116*b480 + 5822*b116*b481 + 6314*b116*
    b482 + 2952*b116*b483 + 4346*b116*b484 + 3034*b116*b485 + 2132*b116*b486 + 
    1474*b116*b487 + 10988*b116*b488 + 134*b116*b489 + 12060*b116*b491 + 8844*
    b116*b492 + 5494*b116*b493 + 2010*b116*b494 + 11122*b116*b495 + 12864*b116*
    b496 + 9916*b116*b497 + 6030*b116*b498 + 8710*b116*b499 + 5360*b116*b500 + 
    7236*b116*b501 + 1876*b116*b502 + 9514*b116*b503 + 10318*b116*b504 + 4824*
    b116*b505 + 7102*b116*b506 + 4958*b116*b507 + 3484*b116*b508 + 264*b116*
    b509 + 1968*b116*b510 + 24*b116*b511 + 2160*b116*b513 + 1584*b116*b514 + 
    984*b116*b515 + 360*b116*b516 + 1992*b116*b517 + 2304*b116*b518 + 1776*b116
    *b519 + 1080*b116*b520 + 1560*b116*b521 + 960*b116*b522 + 1296*b116*b523 + 
    336*b116*b524 + 1704*b116*b525 + 1848*b116*b526 + 864*b116*b527 + 1272*b116
    *b528 + 888*b116*b529 + 624*b116*b530 + 4144*b116*b531 + 6142*b116*b532 + 
    6438*b116*b533 + 9184*b116*b534 + 13612*b116*b535 + 14268*b116*b536 + 10192
    *b116*b537 + 15106*b116*b538 + 15834*b116*b539 + 112*b116*b540 + 166*b116*
    b541 + 174*b116*b542 + 2464*b116*b546 + 3652*b116*b547 + 3828*b116*b548 + 
    7952*b116*b549 + 11786*b116*b550 + 12354*b116*b551 + 6496*b116*b552 + 9628*
    b116*b553 + 10092*b116*b554 + 4704*b116*b555 + 6972*b116*b556 + 7308*b116*
    b557 + 10192*b116*b558 + 15106*b116*b559 + 15834*b116*b560 + 6272*b116*b561
     + 9296*b116*b562 + 9744*b116*b563 + 3024*b116*b564 + 4482*b116*b565 + 4698
    *b116*b566 + 6272*b116*b567 + 9296*b116*b568 + 9744*b116*b569 + 3136*b116*
    b570 + 4648*b116*b571 + 4872*b116*b572 + 7168*b116*b573 + 10624*b116*b574
     + 11136*b116*b575 + 10976*b116*b576 + 16268*b116*b577 + 17052*b116*b578 + 
    7728*b116*b579 + 11454*b116*b580 + 12006*b116*b581 + 7728*b116*b582 + 11454
    *b116*b583 + 12006*b116*b584 + 10416*b116*b585 + 15438*b116*b586 + 16182*
    b116*b587 + 3920*b116*b588 + 5810*b116*b589 + 6090*b116*b590 + 4592*b116*
    b591 + 6806*b116*b592 + 7134*b116*b593 + 7504*b116*b594 + 11122*b116*b595
     + 11658*b116*b596 + 1344*b116*b597 + 1992*b116*b598 + 2088*b116*b599 + 820
    *b116*b600 + 10*b116*b601 + 900*b116*b603 + 660*b116*b604 + 410*b116*b605
     + 150*b116*b606 + 830*b116*b607 + 960*b116*b608 + 740*b116*b609 + 450*b116
    *b610 + 650*b116*b611 + 400*b116*b612 + 540*b116*b613 + 830*b116*b614 + 140
    *b116*b615 + 710*b116*b616 + 770*b116*b617 + 360*b116*b618 + 530*b116*b619
     + 370*b116*b620 + 260*b116*b621 + 870*b116*b622 + 110*b116*b623 + 1008*
    b116*b624 + 1494*b116*b625 + 1566*b116*b626 + 1540*b117*b135 + 3608*b117*
    b136 + 660*b117*b137 + 3960*b117*b138 + 3344*b117*b140 + 4004*b117*b141 + 
    572*b117*b142 + 1276*b117*b143 + 484*b117*b144 + 3388*b117*b145 + 1408*b117
    *b146 + 3828*b117*b147 + 2948*b117*b148 + 4136*b117*b149 + 88*b117*b150 + 
    440*b117*b151 + 4356*b117*b152 + 2464*b117*b153 + 3080*b117*b154 + 4356*
    b117*b155 + 2640*b117*b156 + 4970*b117*b157 + 11644*b117*b158 + 2130*b117*
    b159 + 12780*b117*b160 + 10792*b117*b162 + 12922*b117*b163 + 1846*b117*b164
     + 4118*b117*b165 + 1562*b117*b166 + 10934*b117*b167 + 4544*b117*b168 + 
    12354*b117*b169 + 9514*b117*b170 + 13348*b117*b171 + 284*b117*b172 + 1420*
    b117*b173 + 14058*b117*b174 + 7952*b117*b175 + 9940*b117*b176 + 14058*b117*
    b177 + 8520*b117*b178 + 4060*b117*b179 + 9512*b117*b180 + 1740*b117*b181 + 
    10440*b117*b182 + 8816*b117*b184 + 10556*b117*b185 + 1508*b117*b186 + 3364*
    b117*b187 + 1276*b117*b188 + 8932*b117*b189 + 3712*b117*b190 + 10092*b117*
    b191 + 7772*b117*b192 + 10904*b117*b193 + 232*b117*b194 + 1160*b117*b195 + 
    11484*b117*b196 + 6496*b117*b197 + 8120*b117*b198 + 11484*b117*b199 + 6960*
    b117*b200 + 2940*b117*b201 + 6888*b117*b202 + 1260*b117*b203 + 7560*b117*
    b204 + 6384*b117*b206 + 7644*b117*b207 + 1092*b117*b208 + 2436*b117*b209 + 
    924*b117*b210 + 6468*b117*b211 + 2688*b117*b212 + 7308*b117*b213 + 5628*
    b117*b214 + 7896*b117*b215 + 168*b117*b216 + 840*b117*b217 + 8316*b117*b218
     + 4704*b117*b219 + 5880*b117*b220 + 8316*b117*b221 + 5040*b117*b222 + 6370
    *b117*b223 + 14924*b117*b224 + 2730*b117*b225 + 16380*b117*b226 + 13832*
    b117*b228 + 16562*b117*b229 + 2366*b117*b230 + 5278*b117*b231 + 2002*b117*
    b232 + 14014*b117*b233 + 5824*b117*b234 + 15834*b117*b235 + 12194*b117*b236
     + 17108*b117*b237 + 364*b117*b238 + 1820*b117*b239 + 18018*b117*b240 + 
    10192*b117*b241 + 12740*b117*b242 + 18018*b117*b243 + 10920*b117*b244 + 
    3920*b117*b245 + 9184*b117*b246 + 1680*b117*b247 + 10080*b117*b248 + 8512*
    b117*b250 + 10192*b117*b251 + 1456*b117*b252 + 3248*b117*b253 + 1232*b117*
    b254 + 8624*b117*b255 + 3584*b117*b256 + 9744*b117*b257 + 7504*b117*b258 + 
    10528*b117*b259 + 224*b117*b260 + 1120*b117*b261 + 11088*b117*b262 + 6272*
    b117*b263 + 7840*b117*b264 + 11088*b117*b265 + 6720*b117*b266 + 1890*b117*
    b267 + 4428*b117*b268 + 810*b117*b269 + 4860*b117*b270 + 4104*b117*b272 + 
    4914*b117*b273 + 702*b117*b274 + 1566*b117*b275 + 594*b117*b276 + 4158*b117
    *b277 + 1728*b117*b278 + 4698*b117*b279 + 3618*b117*b280 + 5076*b117*b281
     + 108*b117*b282 + 540*b117*b283 + 5346*b117*b284 + 3024*b117*b285 + 3780*
    b117*b286 + 5346*b117*b287 + 3240*b117*b288 + 3920*b117*b289 + 9184*b117*
    b290 + 1680*b117*b291 + 10080*b117*b292 + 8512*b117*b294 + 10192*b117*b295
     + 1456*b117*b296 + 3248*b117*b297 + 1232*b117*b298 + 8624*b117*b299 + 3584
    *b117*b300 + 9744*b117*b301 + 7504*b117*b302 + 10528*b117*b303 + 224*b117*
    b304 + 1120*b117*b305 + 11088*b117*b306 + 6272*b117*b307 + 7840*b117*b308
     + 11088*b117*b309 + 6720*b117*b310 + 1960*b117*b311 + 4592*b117*b312 + 840
    *b117*b313 + 5040*b117*b314 + 4256*b117*b316 + 5096*b117*b317 + 728*b117*
    b318 + 1624*b117*b319 + 616*b117*b320 + 4312*b117*b321 + 1792*b117*b322 + 
    4872*b117*b323 + 3752*b117*b324 + 5264*b117*b325 + 112*b117*b326 + 560*b117
    *b327 + 5544*b117*b328 + 3136*b117*b329 + 3920*b117*b330 + 5544*b117*b331
     + 3360*b117*b332 + 4480*b117*b333 + 10496*b117*b334 + 1920*b117*b335 + 
    11520*b117*b336 + 9728*b117*b338 + 11648*b117*b339 + 1664*b117*b340 + 3712*
    b117*b341 + 1408*b117*b342 + 9856*b117*b343 + 4096*b117*b344 + 11136*b117*
    b345 + 8576*b117*b346 + 12032*b117*b347 + 256*b117*b348 + 1280*b117*b349 + 
    12672*b117*b350 + 7168*b117*b351 + 8960*b117*b352 + 12672*b117*b353 + 7680*
    b117*b354 + 6860*b117*b355 + 16072*b117*b356 + 2940*b117*b357 + 17640*b117*
    b358 + 14896*b117*b360 + 17836*b117*b361 + 2548*b117*b362 + 5684*b117*b363
     + 2156*b117*b364 + 15092*b117*b365 + 6272*b117*b366 + 17052*b117*b367 + 
    13132*b117*b368 + 18424*b117*b369 + 392*b117*b370 + 1960*b117*b371 + 19404*
    b117*b372 + 10976*b117*b373 + 13720*b117*b374 + 19404*b117*b375 + 11760*
    b117*b376 + 4830*b117*b377 + 11316*b117*b378 + 2070*b117*b379 + 12420*b117*
    b380 + 10488*b117*b382 + 12558*b117*b383 + 1794*b117*b384 + 4002*b117*b385
     + 1518*b117*b386 + 10626*b117*b387 + 4416*b117*b388 + 12006*b117*b389 + 
    9246*b117*b390 + 12972*b117*b391 + 276*b117*b392 + 1380*b117*b393 + 13662*
    b117*b394 + 7728*b117*b395 + 9660*b117*b396 + 13662*b117*b397 + 8280*b117*
    b398 + 4830*b117*b399 + 11316*b117*b400 + 2070*b117*b401 + 12420*b117*b402
     + 10488*b117*b404 + 12558*b117*b405 + 1794*b117*b406 + 4002*b117*b407 + 
    1518*b117*b408 + 10626*b117*b409 + 4416*b117*b410 + 12006*b117*b411 + 9246*
    b117*b412 + 12972*b117*b413 + 276*b117*b414 + 1380*b117*b415 + 13662*b117*
    b416 + 7728*b117*b417 + 9660*b117*b418 + 13662*b117*b419 + 8280*b117*b420
     + 6510*b117*b421 + 15252*b117*b422 + 2790*b117*b423 + 16740*b117*b424 + 
    14136*b117*b426 + 16926*b117*b427 + 2418*b117*b428 + 5394*b117*b429 + 2046*
    b117*b430 + 14322*b117*b431 + 5952*b117*b432 + 16182*b117*b433 + 12462*b117
    *b434 + 17484*b117*b435 + 372*b117*b436 + 1860*b117*b437 + 18414*b117*b438
     + 10416*b117*b439 + 13020*b117*b440 + 18414*b117*b441 + 11160*b117*b442 + 
    2450*b117*b443 + 5740*b117*b444 + 1050*b117*b445 + 6300*b117*b446 + 5320*
    b117*b448 + 6370*b117*b449 + 910*b117*b450 + 2030*b117*b451 + 770*b117*b452
     + 5390*b117*b453 + 2240*b117*b454 + 6090*b117*b455 + 4690*b117*b456 + 6580
    *b117*b457 + 140*b117*b458 + 700*b117*b459 + 6930*b117*b460 + 3920*b117*
    b461 + 4900*b117*b462 + 6930*b117*b463 + 4200*b117*b464 + 2870*b117*b465 + 
    6724*b117*b466 + 1230*b117*b467 + 7380*b117*b468 + 6232*b117*b470 + 7462*
    b117*b471 + 1066*b117*b472 + 2378*b117*b473 + 902*b117*b474 + 6314*b117*
    b475 + 2624*b117*b476 + 7134*b117*b477 + 5494*b117*b478 + 7708*b117*b479 + 
    164*b117*b480 + 820*b117*b481 + 8118*b117*b482 + 4592*b117*b483 + 5740*b117
    *b484 + 8118*b117*b485 + 4920*b117*b486 + 4690*b117*b487 + 10988*b117*b488
     + 2010*b117*b489 + 12060*b117*b490 + 10184*b117*b492 + 12194*b117*b493 + 
    1742*b117*b494 + 3886*b117*b495 + 1474*b117*b496 + 10318*b117*b497 + 4288*
    b117*b498 + 11658*b117*b499 + 8978*b117*b500 + 12596*b117*b501 + 268*b117*
    b502 + 1340*b117*b503 + 13266*b117*b504 + 7504*b117*b505 + 9380*b117*b506
     + 13266*b117*b507 + 8040*b117*b508 + 840*b117*b509 + 1968*b117*b510 + 360*
    b117*b511 + 2160*b117*b512 + 1824*b117*b514 + 2184*b117*b515 + 312*b117*
    b516 + 696*b117*b517 + 264*b117*b518 + 1848*b117*b519 + 768*b117*b520 + 
    2088*b117*b521 + 1608*b117*b522 + 2256*b117*b523 + 48*b117*b524 + 240*b117*
    b525 + 2376*b117*b526 + 1344*b117*b527 + 1680*b117*b528 + 2376*b117*b529 + 
    1440*b117*b530 + 3034*b117*b531 + 5846*b117*b532 + 296*b117*b533 + 6724*
    b117*b534 + 12956*b117*b535 + 656*b117*b536 + 7462*b117*b537 + 14378*b117*
    b538 + 728*b117*b539 + 82*b117*b540 + 158*b117*b541 + 8*b117*b542 + 1804*
    b117*b546 + 3476*b117*b547 + 176*b117*b548 + 5822*b117*b549 + 11218*b117*
    b550 + 568*b117*b551 + 4756*b117*b552 + 9164*b117*b553 + 464*b117*b554 + 
    3444*b117*b555 + 6636*b117*b556 + 336*b117*b557 + 7462*b117*b558 + 14378*
    b117*b559 + 728*b117*b560 + 4592*b117*b561 + 8848*b117*b562 + 448*b117*b563
     + 2214*b117*b564 + 4266*b117*b565 + 216*b117*b566 + 4592*b117*b567 + 8848*
    b117*b568 + 448*b117*b569 + 2296*b117*b570 + 4424*b117*b571 + 224*b117*b572
     + 5248*b117*b573 + 10112*b117*b574 + 512*b117*b575 + 8036*b117*b576 + 
    15484*b117*b577 + 784*b117*b578 + 5658*b117*b579 + 10902*b117*b580 + 552*
    b117*b581 + 5658*b117*b582 + 10902*b117*b583 + 552*b117*b584 + 7626*b117*
    b585 + 14694*b117*b586 + 744*b117*b587 + 2870*b117*b588 + 5530*b117*b589 + 
    280*b117*b590 + 3362*b117*b591 + 6478*b117*b592 + 328*b117*b593 + 5494*b117
    *b594 + 10586*b117*b595 + 536*b117*b596 + 984*b117*b597 + 1896*b117*b598 + 
    96*b117*b599 + 820*b117*b600 + 150*b117*b601 + 900*b117*b602 + 760*b117*
    b604 + 910*b117*b605 + 130*b117*b606 + 290*b117*b607 + 110*b117*b608 + 770*
    b117*b609 + 320*b117*b610 + 870*b117*b611 + 670*b117*b612 + 940*b117*b613
     + 790*b117*b614 + 20*b117*b615 + 100*b117*b616 + 990*b117*b617 + 560*b117*
    b618 + 700*b117*b619 + 990*b117*b620 + 600*b117*b621 + 40*b117*b622 + 350*
    b117*b623 + 738*b117*b624 + 1422*b117*b625 + 72*b117*b626 + 3608*b118*b135
     + 264*b118*b136 + 484*b118*b137 + 2904*b118*b138 + 3344*b118*b139 + 2464*
    b118*b141 + 88*b118*b142 + 2640*b118*b143 + 3168*b118*b144 + 3256*b118*b145
     + 2024*b118*b146 + 572*b118*b147 + 880*b118*b148 + 3784*b118*b149 + 3388*
    b118*b150 + 660*b118*b151 + 3916*b118*b152 + 2112*b118*b153 + 616*b118*b154
     + 3916*b118*b155 + 1936*b118*b156 + 11644*b118*b157 + 852*b118*b158 + 1562
    *b118*b159 + 9372*b118*b160 + 10792*b118*b161 + 7952*b118*b163 + 284*b118*
    b164 + 8520*b118*b165 + 10224*b118*b166 + 10508*b118*b167 + 6532*b118*b168
     + 1846*b118*b169 + 2840*b118*b170 + 12212*b118*b171 + 10934*b118*b172 + 
    2130*b118*b173 + 12638*b118*b174 + 6816*b118*b175 + 1988*b118*b176 + 12638*
    b118*b177 + 6248*b118*b178 + 9512*b118*b179 + 696*b118*b180 + 1276*b118*
    b181 + 7656*b118*b182 + 8816*b118*b183 + 6496*b118*b185 + 232*b118*b186 + 
    6960*b118*b187 + 8352*b118*b188 + 8584*b118*b189 + 5336*b118*b190 + 1508*
    b118*b191 + 2320*b118*b192 + 9976*b118*b193 + 8932*b118*b194 + 1740*b118*
    b195 + 10324*b118*b196 + 5568*b118*b197 + 1624*b118*b198 + 10324*b118*b199
     + 5104*b118*b200 + 6888*b118*b201 + 504*b118*b202 + 924*b118*b203 + 5544*
    b118*b204 + 6384*b118*b205 + 4704*b118*b207 + 168*b118*b208 + 5040*b118*
    b209 + 6048*b118*b210 + 6216*b118*b211 + 3864*b118*b212 + 1092*b118*b213 + 
    1680*b118*b214 + 7224*b118*b215 + 6468*b118*b216 + 1260*b118*b217 + 7476*
    b118*b218 + 4032*b118*b219 + 1176*b118*b220 + 7476*b118*b221 + 3696*b118*
    b222 + 14924*b118*b223 + 1092*b118*b224 + 2002*b118*b225 + 12012*b118*b226
     + 13832*b118*b227 + 10192*b118*b229 + 364*b118*b230 + 10920*b118*b231 + 
    13104*b118*b232 + 13468*b118*b233 + 8372*b118*b234 + 2366*b118*b235 + 3640*
    b118*b236 + 15652*b118*b237 + 14014*b118*b238 + 2730*b118*b239 + 16198*b118
    *b240 + 8736*b118*b241 + 2548*b118*b242 + 16198*b118*b243 + 8008*b118*b244
     + 9184*b118*b245 + 672*b118*b246 + 1232*b118*b247 + 7392*b118*b248 + 8512*
    b118*b249 + 6272*b118*b251 + 224*b118*b252 + 6720*b118*b253 + 8064*b118*
    b254 + 8288*b118*b255 + 5152*b118*b256 + 1456*b118*b257 + 2240*b118*b258 + 
    9632*b118*b259 + 8624*b118*b260 + 1680*b118*b261 + 9968*b118*b262 + 5376*
    b118*b263 + 1568*b118*b264 + 9968*b118*b265 + 4928*b118*b266 + 4428*b118*
    b267 + 324*b118*b268 + 594*b118*b269 + 3564*b118*b270 + 4104*b118*b271 + 
    3024*b118*b273 + 108*b118*b274 + 3240*b118*b275 + 3888*b118*b276 + 3996*
    b118*b277 + 2484*b118*b278 + 702*b118*b279 + 1080*b118*b280 + 4644*b118*
    b281 + 4158*b118*b282 + 810*b118*b283 + 4806*b118*b284 + 2592*b118*b285 + 
    756*b118*b286 + 4806*b118*b287 + 2376*b118*b288 + 9184*b118*b289 + 672*b118
    *b290 + 1232*b118*b291 + 7392*b118*b292 + 8512*b118*b293 + 6272*b118*b295
     + 224*b118*b296 + 6720*b118*b297 + 8064*b118*b298 + 8288*b118*b299 + 5152*
    b118*b300 + 1456*b118*b301 + 2240*b118*b302 + 9632*b118*b303 + 8624*b118*
    b304 + 1680*b118*b305 + 9968*b118*b306 + 5376*b118*b307 + 1568*b118*b308 + 
    9968*b118*b309 + 4928*b118*b310 + 4592*b118*b311 + 336*b118*b312 + 616*b118
    *b313 + 3696*b118*b314 + 4256*b118*b315 + 3136*b118*b317 + 112*b118*b318 + 
    3360*b118*b319 + 4032*b118*b320 + 4144*b118*b321 + 2576*b118*b322 + 728*
    b118*b323 + 1120*b118*b324 + 4816*b118*b325 + 4312*b118*b326 + 840*b118*
    b327 + 4984*b118*b328 + 2688*b118*b329 + 784*b118*b330 + 4984*b118*b331 + 
    2464*b118*b332 + 10496*b118*b333 + 768*b118*b334 + 1408*b118*b335 + 8448*
    b118*b336 + 9728*b118*b337 + 7168*b118*b339 + 256*b118*b340 + 7680*b118*
    b341 + 9216*b118*b342 + 9472*b118*b343 + 5888*b118*b344 + 1664*b118*b345 + 
    2560*b118*b346 + 11008*b118*b347 + 9856*b118*b348 + 1920*b118*b349 + 11392*
    b118*b350 + 6144*b118*b351 + 1792*b118*b352 + 11392*b118*b353 + 5632*b118*
    b354 + 16072*b118*b355 + 1176*b118*b356 + 2156*b118*b357 + 12936*b118*b358
     + 14896*b118*b359 + 10976*b118*b361 + 392*b118*b362 + 11760*b118*b363 + 
    14112*b118*b364 + 14504*b118*b365 + 9016*b118*b366 + 2548*b118*b367 + 3920*
    b118*b368 + 16856*b118*b369 + 15092*b118*b370 + 2940*b118*b371 + 17444*b118
    *b372 + 9408*b118*b373 + 2744*b118*b374 + 17444*b118*b375 + 8624*b118*b376
     + 11316*b118*b377 + 828*b118*b378 + 1518*b118*b379 + 9108*b118*b380 + 
    10488*b118*b381 + 7728*b118*b383 + 276*b118*b384 + 8280*b118*b385 + 9936*
    b118*b386 + 10212*b118*b387 + 6348*b118*b388 + 1794*b118*b389 + 2760*b118*
    b390 + 11868*b118*b391 + 10626*b118*b392 + 2070*b118*b393 + 12282*b118*b394
     + 6624*b118*b395 + 1932*b118*b396 + 12282*b118*b397 + 6072*b118*b398 + 
    11316*b118*b399 + 828*b118*b400 + 1518*b118*b401 + 9108*b118*b402 + 10488*
    b118*b403 + 7728*b118*b405 + 276*b118*b406 + 8280*b118*b407 + 9936*b118*
    b408 + 10212*b118*b409 + 6348*b118*b410 + 1794*b118*b411 + 2760*b118*b412
     + 11868*b118*b413 + 10626*b118*b414 + 2070*b118*b415 + 12282*b118*b416 + 
    6624*b118*b417 + 1932*b118*b418 + 12282*b118*b419 + 6072*b118*b420 + 15252*
    b118*b421 + 1116*b118*b422 + 2046*b118*b423 + 12276*b118*b424 + 14136*b118*
    b425 + 10416*b118*b427 + 372*b118*b428 + 11160*b118*b429 + 13392*b118*b430
     + 13764*b118*b431 + 8556*b118*b432 + 2418*b118*b433 + 3720*b118*b434 + 
    15996*b118*b435 + 14322*b118*b436 + 2790*b118*b437 + 16554*b118*b438 + 8928
    *b118*b439 + 2604*b118*b440 + 16554*b118*b441 + 8184*b118*b442 + 5740*b118*
    b443 + 420*b118*b444 + 770*b118*b445 + 4620*b118*b446 + 5320*b118*b447 + 
    3920*b118*b449 + 140*b118*b450 + 4200*b118*b451 + 5040*b118*b452 + 5180*
    b118*b453 + 3220*b118*b454 + 910*b118*b455 + 1400*b118*b456 + 6020*b118*
    b457 + 5390*b118*b458 + 1050*b118*b459 + 6230*b118*b460 + 3360*b118*b461 + 
    980*b118*b462 + 6230*b118*b463 + 3080*b118*b464 + 6724*b118*b465 + 492*b118
    *b466 + 902*b118*b467 + 5412*b118*b468 + 6232*b118*b469 + 4592*b118*b471 + 
    164*b118*b472 + 4920*b118*b473 + 5904*b118*b474 + 6068*b118*b475 + 3772*
    b118*b476 + 1066*b118*b477 + 1640*b118*b478 + 7052*b118*b479 + 6314*b118*
    b480 + 1230*b118*b481 + 7298*b118*b482 + 3936*b118*b483 + 1148*b118*b484 + 
    7298*b118*b485 + 3608*b118*b486 + 10988*b118*b487 + 804*b118*b488 + 1474*
    b118*b489 + 8844*b118*b490 + 10184*b118*b491 + 7504*b118*b493 + 268*b118*
    b494 + 8040*b118*b495 + 9648*b118*b496 + 9916*b118*b497 + 6164*b118*b498 + 
    1742*b118*b499 + 2680*b118*b500 + 11524*b118*b501 + 10318*b118*b502 + 2010*
    b118*b503 + 11926*b118*b504 + 6432*b118*b505 + 1876*b118*b506 + 11926*b118*
    b507 + 5896*b118*b508 + 1968*b118*b509 + 144*b118*b510 + 264*b118*b511 + 
    1584*b118*b512 + 1824*b118*b513 + 1344*b118*b515 + 48*b118*b516 + 1440*b118
    *b517 + 1728*b118*b518 + 1776*b118*b519 + 1104*b118*b520 + 312*b118*b521 + 
    480*b118*b522 + 2064*b118*b523 + 1848*b118*b524 + 360*b118*b525 + 2136*b118
    *b526 + 1152*b118*b527 + 336*b118*b528 + 2136*b118*b529 + 1056*b118*b530 + 
    444*b118*b531 + 296*b118*b532 + 4366*b118*b533 + 984*b118*b534 + 656*b118*
    b535 + 9676*b118*b536 + 1092*b118*b537 + 728*b118*b538 + 10738*b118*b539 + 
    12*b118*b540 + 8*b118*b541 + 118*b118*b542 + 264*b118*b546 + 176*b118*b547
     + 2596*b118*b548 + 852*b118*b549 + 568*b118*b550 + 8378*b118*b551 + 696*
    b118*b552 + 464*b118*b553 + 6844*b118*b554 + 504*b118*b555 + 336*b118*b556
     + 4956*b118*b557 + 1092*b118*b558 + 728*b118*b559 + 10738*b118*b560 + 672*
    b118*b561 + 448*b118*b562 + 6608*b118*b563 + 324*b118*b564 + 216*b118*b565
     + 3186*b118*b566 + 672*b118*b567 + 448*b118*b568 + 6608*b118*b569 + 336*
    b118*b570 + 224*b118*b571 + 3304*b118*b572 + 768*b118*b573 + 512*b118*b574
     + 7552*b118*b575 + 1176*b118*b576 + 784*b118*b577 + 11564*b118*b578 + 828*
    b118*b579 + 552*b118*b580 + 8142*b118*b581 + 828*b118*b582 + 552*b118*b583
     + 8142*b118*b584 + 1116*b118*b585 + 744*b118*b586 + 10974*b118*b587 + 420*
    b118*b588 + 280*b118*b589 + 4130*b118*b590 + 492*b118*b591 + 328*b118*b592
     + 4838*b118*b593 + 804*b118*b594 + 536*b118*b595 + 7906*b118*b596 + 144*
    b118*b597 + 96*b118*b598 + 1416*b118*b599 + 60*b118*b600 + 110*b118*b601 + 
    660*b118*b602 + 760*b118*b603 + 560*b118*b605 + 20*b118*b606 + 600*b118*
    b607 + 720*b118*b608 + 740*b118*b609 + 460*b118*b610 + 130*b118*b611 + 200*
    b118*b612 + 860*b118*b613 + 40*b118*b614 + 770*b118*b615 + 150*b118*b616 + 
    890*b118*b617 + 480*b118*b618 + 140*b118*b619 + 890*b118*b620 + 440*b118*
    b621 + 590*b118*b622 + 820*b118*b623 + 108*b118*b624 + 72*b118*b625 + 1062*
    b118*b626 + 1144*b119*b135 + 3124*b119*b136 + 1540*b119*b137 + 1804*b119*
    b138 + 4004*b119*b139 + 2464*b119*b140 + 968*b119*b142 + 2508*b119*b143 + 
    2772*b119*b144 + 264*b119*b145 + 2728*b119*b147 + 1804*b119*b148 + 2728*
    b119*b149 + 1100*b119*b150 + 3300*b119*b151 + 3344*b119*b152 + 1760*b119*
    b153 + 2904*b119*b154 + 2552*b119*b155 + 1320*b119*b156 + 3692*b119*b157 + 
    10082*b119*b158 + 4970*b119*b159 + 5822*b119*b160 + 12922*b119*b161 + 7952*
    b119*b162 + 3124*b119*b164 + 8094*b119*b165 + 8946*b119*b166 + 852*b119*
    b167 + 8804*b119*b169 + 5822*b119*b170 + 8804*b119*b171 + 3550*b119*b172 + 
    10650*b119*b173 + 10792*b119*b174 + 5680*b119*b175 + 9372*b119*b176 + 8236*
    b119*b177 + 4260*b119*b178 + 3016*b119*b179 + 8236*b119*b180 + 4060*b119*
    b181 + 4756*b119*b182 + 10556*b119*b183 + 6496*b119*b184 + 2552*b119*b186
     + 6612*b119*b187 + 7308*b119*b188 + 696*b119*b189 + 7192*b119*b191 + 4756*
    b119*b192 + 7192*b119*b193 + 2900*b119*b194 + 8700*b119*b195 + 8816*b119*
    b196 + 4640*b119*b197 + 7656*b119*b198 + 6728*b119*b199 + 3480*b119*b200 + 
    2184*b119*b201 + 5964*b119*b202 + 2940*b119*b203 + 3444*b119*b204 + 7644*
    b119*b205 + 4704*b119*b206 + 1848*b119*b208 + 4788*b119*b209 + 5292*b119*
    b210 + 504*b119*b211 + 5208*b119*b213 + 3444*b119*b214 + 5208*b119*b215 + 
    2100*b119*b216 + 6300*b119*b217 + 6384*b119*b218 + 3360*b119*b219 + 5544*
    b119*b220 + 4872*b119*b221 + 2520*b119*b222 + 4732*b119*b223 + 12922*b119*
    b224 + 6370*b119*b225 + 7462*b119*b226 + 16562*b119*b227 + 10192*b119*b228
     + 4004*b119*b230 + 10374*b119*b231 + 11466*b119*b232 + 1092*b119*b233 + 
    11284*b119*b235 + 7462*b119*b236 + 11284*b119*b237 + 4550*b119*b238 + 13650
    *b119*b239 + 13832*b119*b240 + 7280*b119*b241 + 12012*b119*b242 + 10556*
    b119*b243 + 5460*b119*b244 + 2912*b119*b245 + 7952*b119*b246 + 3920*b119*
    b247 + 4592*b119*b248 + 10192*b119*b249 + 6272*b119*b250 + 2464*b119*b252
     + 6384*b119*b253 + 7056*b119*b254 + 672*b119*b255 + 6944*b119*b257 + 4592*
    b119*b258 + 6944*b119*b259 + 2800*b119*b260 + 8400*b119*b261 + 8512*b119*
    b262 + 4480*b119*b263 + 7392*b119*b264 + 6496*b119*b265 + 3360*b119*b266 + 
    1404*b119*b267 + 3834*b119*b268 + 1890*b119*b269 + 2214*b119*b270 + 4914*
    b119*b271 + 3024*b119*b272 + 1188*b119*b274 + 3078*b119*b275 + 3402*b119*
    b276 + 324*b119*b277 + 3348*b119*b279 + 2214*b119*b280 + 3348*b119*b281 + 
    1350*b119*b282 + 4050*b119*b283 + 4104*b119*b284 + 2160*b119*b285 + 3564*
    b119*b286 + 3132*b119*b287 + 1620*b119*b288 + 2912*b119*b289 + 7952*b119*
    b290 + 3920*b119*b291 + 4592*b119*b292 + 10192*b119*b293 + 6272*b119*b294
     + 2464*b119*b296 + 6384*b119*b297 + 7056*b119*b298 + 672*b119*b299 + 6944*
    b119*b301 + 4592*b119*b302 + 6944*b119*b303 + 2800*b119*b304 + 8400*b119*
    b305 + 8512*b119*b306 + 4480*b119*b307 + 7392*b119*b308 + 6496*b119*b309 + 
    3360*b119*b310 + 1456*b119*b311 + 3976*b119*b312 + 1960*b119*b313 + 2296*
    b119*b314 + 5096*b119*b315 + 3136*b119*b316 + 1232*b119*b318 + 3192*b119*
    b319 + 3528*b119*b320 + 336*b119*b321 + 3472*b119*b323 + 2296*b119*b324 + 
    3472*b119*b325 + 1400*b119*b326 + 4200*b119*b327 + 4256*b119*b328 + 2240*
    b119*b329 + 3696*b119*b330 + 3248*b119*b331 + 1680*b119*b332 + 3328*b119*
    b333 + 9088*b119*b334 + 4480*b119*b335 + 5248*b119*b336 + 11648*b119*b337
     + 7168*b119*b338 + 2816*b119*b340 + 7296*b119*b341 + 8064*b119*b342 + 768*
    b119*b343 + 7936*b119*b345 + 5248*b119*b346 + 7936*b119*b347 + 3200*b119*
    b348 + 9600*b119*b349 + 9728*b119*b350 + 5120*b119*b351 + 8448*b119*b352 + 
    7424*b119*b353 + 3840*b119*b354 + 5096*b119*b355 + 13916*b119*b356 + 6860*
    b119*b357 + 8036*b119*b358 + 17836*b119*b359 + 10976*b119*b360 + 4312*b119*
    b362 + 11172*b119*b363 + 12348*b119*b364 + 1176*b119*b365 + 12152*b119*b367
     + 8036*b119*b368 + 12152*b119*b369 + 4900*b119*b370 + 14700*b119*b371 + 
    14896*b119*b372 + 7840*b119*b373 + 12936*b119*b374 + 11368*b119*b375 + 5880
    *b119*b376 + 3588*b119*b377 + 9798*b119*b378 + 4830*b119*b379 + 5658*b119*
    b380 + 12558*b119*b381 + 7728*b119*b382 + 3036*b119*b384 + 7866*b119*b385
     + 8694*b119*b386 + 828*b119*b387 + 8556*b119*b389 + 5658*b119*b390 + 8556*
    b119*b391 + 3450*b119*b392 + 10350*b119*b393 + 10488*b119*b394 + 5520*b119*
    b395 + 9108*b119*b396 + 8004*b119*b397 + 4140*b119*b398 + 3588*b119*b399 + 
    9798*b119*b400 + 4830*b119*b401 + 5658*b119*b402 + 12558*b119*b403 + 7728*
    b119*b404 + 3036*b119*b406 + 7866*b119*b407 + 8694*b119*b408 + 828*b119*
    b409 + 8556*b119*b411 + 5658*b119*b412 + 8556*b119*b413 + 3450*b119*b414 + 
    10350*b119*b415 + 10488*b119*b416 + 5520*b119*b417 + 9108*b119*b418 + 8004*
    b119*b419 + 4140*b119*b420 + 4836*b119*b421 + 13206*b119*b422 + 6510*b119*
    b423 + 7626*b119*b424 + 16926*b119*b425 + 10416*b119*b426 + 4092*b119*b428
     + 10602*b119*b429 + 11718*b119*b430 + 1116*b119*b431 + 11532*b119*b433 + 
    7626*b119*b434 + 11532*b119*b435 + 4650*b119*b436 + 13950*b119*b437 + 14136
    *b119*b438 + 7440*b119*b439 + 12276*b119*b440 + 10788*b119*b441 + 5580*b119
    *b442 + 1820*b119*b443 + 4970*b119*b444 + 2450*b119*b445 + 2870*b119*b446
     + 6370*b119*b447 + 3920*b119*b448 + 1540*b119*b450 + 3990*b119*b451 + 4410
    *b119*b452 + 420*b119*b453 + 4340*b119*b455 + 2870*b119*b456 + 4340*b119*
    b457 + 1750*b119*b458 + 5250*b119*b459 + 5320*b119*b460 + 2800*b119*b461 + 
    4620*b119*b462 + 4060*b119*b463 + 2100*b119*b464 + 2132*b119*b465 + 5822*
    b119*b466 + 2870*b119*b467 + 3362*b119*b468 + 7462*b119*b469 + 4592*b119*
    b470 + 1804*b119*b472 + 4674*b119*b473 + 5166*b119*b474 + 492*b119*b475 + 
    5084*b119*b477 + 3362*b119*b478 + 5084*b119*b479 + 2050*b119*b480 + 6150*
    b119*b481 + 6232*b119*b482 + 3280*b119*b483 + 5412*b119*b484 + 4756*b119*
    b485 + 2460*b119*b486 + 3484*b119*b487 + 9514*b119*b488 + 4690*b119*b489 + 
    5494*b119*b490 + 12194*b119*b491 + 7504*b119*b492 + 2948*b119*b494 + 7638*
    b119*b495 + 8442*b119*b496 + 804*b119*b497 + 8308*b119*b499 + 5494*b119*
    b500 + 8308*b119*b501 + 3350*b119*b502 + 10050*b119*b503 + 10184*b119*b504
     + 5360*b119*b505 + 8844*b119*b506 + 7772*b119*b507 + 4020*b119*b508 + 624*
    b119*b509 + 1704*b119*b510 + 840*b119*b511 + 984*b119*b512 + 2184*b119*b513
     + 1344*b119*b514 + 528*b119*b516 + 1368*b119*b517 + 1512*b119*b518 + 144*
    b119*b519 + 1488*b119*b521 + 984*b119*b522 + 1488*b119*b523 + 600*b119*b524
     + 1800*b119*b525 + 1824*b119*b526 + 960*b119*b527 + 1584*b119*b528 + 1392*
    b119*b529 + 720*b119*b530 + 1850*b119*b531 + 3404*b119*b532 + 5032*b119*
    b533 + 4100*b119*b534 + 7544*b119*b535 + 11152*b119*b536 + 4550*b119*b537
     + 8372*b119*b538 + 12376*b119*b539 + 50*b119*b540 + 92*b119*b541 + 136*
    b119*b542 + 1100*b119*b546 + 2024*b119*b547 + 2992*b119*b548 + 3550*b119*
    b549 + 6532*b119*b550 + 9656*b119*b551 + 2900*b119*b552 + 5336*b119*b553 + 
    7888*b119*b554 + 2100*b119*b555 + 3864*b119*b556 + 5712*b119*b557 + 4550*
    b119*b558 + 8372*b119*b559 + 12376*b119*b560 + 2800*b119*b561 + 5152*b119*
    b562 + 7616*b119*b563 + 1350*b119*b564 + 2484*b119*b565 + 3672*b119*b566 + 
    2800*b119*b567 + 5152*b119*b568 + 7616*b119*b569 + 1400*b119*b570 + 2576*
    b119*b571 + 3808*b119*b572 + 3200*b119*b573 + 5888*b119*b574 + 8704*b119*
    b575 + 4900*b119*b576 + 9016*b119*b577 + 13328*b119*b578 + 3450*b119*b579
     + 6348*b119*b580 + 9384*b119*b581 + 3450*b119*b582 + 6348*b119*b583 + 9384
    *b119*b584 + 4650*b119*b585 + 8556*b119*b586 + 12648*b119*b587 + 1750*b119*
    b588 + 3220*b119*b589 + 4760*b119*b590 + 2050*b119*b591 + 3772*b119*b592 + 
    5576*b119*b593 + 3350*b119*b594 + 6164*b119*b595 + 9112*b119*b596 + 600*
    b119*b597 + 1104*b119*b598 + 1632*b119*b599 + 710*b119*b600 + 350*b119*b601
     + 410*b119*b602 + 910*b119*b603 + 560*b119*b604 + 220*b119*b606 + 570*b119
    *b607 + 630*b119*b608 + 60*b119*b609 + 620*b119*b611 + 410*b119*b612 + 620*
    b119*b613 + 460*b119*b614 + 250*b119*b615 + 750*b119*b616 + 760*b119*b617
     + 400*b119*b618 + 660*b119*b619 + 580*b119*b620 + 300*b119*b621 + 680*b119
    *b622 + 260*b119*b623 + 450*b119*b624 + 828*b119*b625 + 1224*b119*b626 + 
    3036*b120*b135 + 352*b120*b136 + 484*b120*b137 + 660*b120*b138 + 572*b120*
    b139 + 88*b120*b140 + 968*b120*b141 + 3432*b120*b143 + 4004*b120*b144 + 572
    *b120*b145 + 2596*b120*b146 + 2156*b120*b147 + 3740*b120*b148 + 3696*b120*
    b149 + 1672*b120*b150 + 1804*b120*b151 + 2464*b120*b152 + 1716*b120*b153 + 
    2332*b120*b154 + 3388*b120*b155 + 2200*b120*b156 + 9798*b120*b157 + 1136*
    b120*b158 + 1562*b120*b159 + 2130*b120*b160 + 1846*b120*b161 + 284*b120*
    b162 + 3124*b120*b163 + 11076*b120*b165 + 12922*b120*b166 + 1846*b120*b167
     + 8378*b120*b168 + 6958*b120*b169 + 12070*b120*b170 + 11928*b120*b171 + 
    5396*b120*b172 + 5822*b120*b173 + 7952*b120*b174 + 5538*b120*b175 + 7526*
    b120*b176 + 10934*b120*b177 + 7100*b120*b178 + 8004*b120*b179 + 928*b120*
    b180 + 1276*b120*b181 + 1740*b120*b182 + 1508*b120*b183 + 232*b120*b184 + 
    2552*b120*b185 + 9048*b120*b187 + 10556*b120*b188 + 1508*b120*b189 + 6844*
    b120*b190 + 5684*b120*b191 + 9860*b120*b192 + 9744*b120*b193 + 4408*b120*
    b194 + 4756*b120*b195 + 6496*b120*b196 + 4524*b120*b197 + 6148*b120*b198 + 
    8932*b120*b199 + 5800*b120*b200 + 5796*b120*b201 + 672*b120*b202 + 924*b120
    *b203 + 1260*b120*b204 + 1092*b120*b205 + 168*b120*b206 + 1848*b120*b207 + 
    6552*b120*b209 + 7644*b120*b210 + 1092*b120*b211 + 4956*b120*b212 + 4116*
    b120*b213 + 7140*b120*b214 + 7056*b120*b215 + 3192*b120*b216 + 3444*b120*
    b217 + 4704*b120*b218 + 3276*b120*b219 + 4452*b120*b220 + 6468*b120*b221 + 
    4200*b120*b222 + 12558*b120*b223 + 1456*b120*b224 + 2002*b120*b225 + 2730*
    b120*b226 + 2366*b120*b227 + 364*b120*b228 + 4004*b120*b229 + 14196*b120*
    b231 + 16562*b120*b232 + 2366*b120*b233 + 10738*b120*b234 + 8918*b120*b235
     + 15470*b120*b236 + 15288*b120*b237 + 6916*b120*b238 + 7462*b120*b239 + 
    10192*b120*b240 + 7098*b120*b241 + 9646*b120*b242 + 14014*b120*b243 + 9100*
    b120*b244 + 7728*b120*b245 + 896*b120*b246 + 1232*b120*b247 + 1680*b120*
    b248 + 1456*b120*b249 + 224*b120*b250 + 2464*b120*b251 + 8736*b120*b253 + 
    10192*b120*b254 + 1456*b120*b255 + 6608*b120*b256 + 5488*b120*b257 + 9520*
    b120*b258 + 9408*b120*b259 + 4256*b120*b260 + 4592*b120*b261 + 6272*b120*
    b262 + 4368*b120*b263 + 5936*b120*b264 + 8624*b120*b265 + 5600*b120*b266 + 
    3726*b120*b267 + 432*b120*b268 + 594*b120*b269 + 810*b120*b270 + 702*b120*
    b271 + 108*b120*b272 + 1188*b120*b273 + 4212*b120*b275 + 4914*b120*b276 + 
    702*b120*b277 + 3186*b120*b278 + 2646*b120*b279 + 4590*b120*b280 + 4536*
    b120*b281 + 2052*b120*b282 + 2214*b120*b283 + 3024*b120*b284 + 2106*b120*
    b285 + 2862*b120*b286 + 4158*b120*b287 + 2700*b120*b288 + 7728*b120*b289 + 
    896*b120*b290 + 1232*b120*b291 + 1680*b120*b292 + 1456*b120*b293 + 224*b120
    *b294 + 2464*b120*b295 + 8736*b120*b297 + 10192*b120*b298 + 1456*b120*b299
     + 6608*b120*b300 + 5488*b120*b301 + 9520*b120*b302 + 9408*b120*b303 + 4256
    *b120*b304 + 4592*b120*b305 + 6272*b120*b306 + 4368*b120*b307 + 5936*b120*
    b308 + 8624*b120*b309 + 5600*b120*b310 + 3864*b120*b311 + 448*b120*b312 + 
    616*b120*b313 + 840*b120*b314 + 728*b120*b315 + 112*b120*b316 + 1232*b120*
    b317 + 4368*b120*b319 + 5096*b120*b320 + 728*b120*b321 + 3304*b120*b322 + 
    2744*b120*b323 + 4760*b120*b324 + 4704*b120*b325 + 2128*b120*b326 + 2296*
    b120*b327 + 3136*b120*b328 + 2184*b120*b329 + 2968*b120*b330 + 4312*b120*
    b331 + 2800*b120*b332 + 8832*b120*b333 + 1024*b120*b334 + 1408*b120*b335 + 
    1920*b120*b336 + 1664*b120*b337 + 256*b120*b338 + 2816*b120*b339 + 9984*
    b120*b341 + 11648*b120*b342 + 1664*b120*b343 + 7552*b120*b344 + 6272*b120*
    b345 + 10880*b120*b346 + 10752*b120*b347 + 4864*b120*b348 + 5248*b120*b349
     + 7168*b120*b350 + 4992*b120*b351 + 6784*b120*b352 + 9856*b120*b353 + 6400
    *b120*b354 + 13524*b120*b355 + 1568*b120*b356 + 2156*b120*b357 + 2940*b120*
    b358 + 2548*b120*b359 + 392*b120*b360 + 4312*b120*b361 + 15288*b120*b363 + 
    17836*b120*b364 + 2548*b120*b365 + 11564*b120*b366 + 9604*b120*b367 + 16660
    *b120*b368 + 16464*b120*b369 + 7448*b120*b370 + 8036*b120*b371 + 10976*b120
    *b372 + 7644*b120*b373 + 10388*b120*b374 + 15092*b120*b375 + 9800*b120*b376
     + 9522*b120*b377 + 1104*b120*b378 + 1518*b120*b379 + 2070*b120*b380 + 1794
    *b120*b381 + 276*b120*b382 + 3036*b120*b383 + 10764*b120*b385 + 12558*b120*
    b386 + 1794*b120*b387 + 8142*b120*b388 + 6762*b120*b389 + 11730*b120*b390
     + 11592*b120*b391 + 5244*b120*b392 + 5658*b120*b393 + 7728*b120*b394 + 
    5382*b120*b395 + 7314*b120*b396 + 10626*b120*b397 + 6900*b120*b398 + 9522*
    b120*b399 + 1104*b120*b400 + 1518*b120*b401 + 2070*b120*b402 + 1794*b120*
    b403 + 276*b120*b404 + 3036*b120*b405 + 10764*b120*b407 + 12558*b120*b408
     + 1794*b120*b409 + 8142*b120*b410 + 6762*b120*b411 + 11730*b120*b412 + 
    11592*b120*b413 + 5244*b120*b414 + 5658*b120*b415 + 7728*b120*b416 + 5382*
    b120*b417 + 7314*b120*b418 + 10626*b120*b419 + 6900*b120*b420 + 12834*b120*
    b421 + 1488*b120*b422 + 2046*b120*b423 + 2790*b120*b424 + 2418*b120*b425 + 
    372*b120*b426 + 4092*b120*b427 + 14508*b120*b429 + 16926*b120*b430 + 2418*
    b120*b431 + 10974*b120*b432 + 9114*b120*b433 + 15810*b120*b434 + 15624*b120
    *b435 + 7068*b120*b436 + 7626*b120*b437 + 10416*b120*b438 + 7254*b120*b439
     + 9858*b120*b440 + 14322*b120*b441 + 9300*b120*b442 + 4830*b120*b443 + 560
    *b120*b444 + 770*b120*b445 + 1050*b120*b446 + 910*b120*b447 + 140*b120*b448
     + 1540*b120*b449 + 5460*b120*b451 + 6370*b120*b452 + 910*b120*b453 + 4130*
    b120*b454 + 3430*b120*b455 + 5950*b120*b456 + 5880*b120*b457 + 2660*b120*
    b458 + 2870*b120*b459 + 3920*b120*b460 + 2730*b120*b461 + 3710*b120*b462 + 
    5390*b120*b463 + 3500*b120*b464 + 5658*b120*b465 + 656*b120*b466 + 902*b120
    *b467 + 1230*b120*b468 + 1066*b120*b469 + 164*b120*b470 + 1804*b120*b471 + 
    6396*b120*b473 + 7462*b120*b474 + 1066*b120*b475 + 4838*b120*b476 + 4018*
    b120*b477 + 6970*b120*b478 + 6888*b120*b479 + 3116*b120*b480 + 3362*b120*
    b481 + 4592*b120*b482 + 3198*b120*b483 + 4346*b120*b484 + 6314*b120*b485 + 
    4100*b120*b486 + 9246*b120*b487 + 1072*b120*b488 + 1474*b120*b489 + 2010*
    b120*b490 + 1742*b120*b491 + 268*b120*b492 + 2948*b120*b493 + 10452*b120*
    b495 + 12194*b120*b496 + 1742*b120*b497 + 7906*b120*b498 + 6566*b120*b499
     + 11390*b120*b500 + 11256*b120*b501 + 5092*b120*b502 + 5494*b120*b503 + 
    7504*b120*b504 + 5226*b120*b505 + 7102*b120*b506 + 10318*b120*b507 + 6700*
    b120*b508 + 1656*b120*b509 + 192*b120*b510 + 264*b120*b511 + 360*b120*b512
     + 312*b120*b513 + 48*b120*b514 + 528*b120*b515 + 1872*b120*b517 + 2184*
    b120*b518 + 312*b120*b519 + 1416*b120*b520 + 1176*b120*b521 + 2040*b120*
    b522 + 2016*b120*b523 + 912*b120*b524 + 984*b120*b525 + 1344*b120*b526 + 
    936*b120*b527 + 1272*b120*b528 + 1848*b120*b529 + 1200*b120*b530 + 740*b120
    *b531 + 592*b120*b532 + 2220*b120*b533 + 1640*b120*b534 + 1312*b120*b535 + 
    4920*b120*b536 + 1820*b120*b537 + 1456*b120*b538 + 5460*b120*b539 + 20*b120
    *b540 + 16*b120*b541 + 60*b120*b542 + 440*b120*b546 + 352*b120*b547 + 1320*
    b120*b548 + 1420*b120*b549 + 1136*b120*b550 + 4260*b120*b551 + 1160*b120*
    b552 + 928*b120*b553 + 3480*b120*b554 + 840*b120*b555 + 672*b120*b556 + 
    2520*b120*b557 + 1820*b120*b558 + 1456*b120*b559 + 5460*b120*b560 + 1120*
    b120*b561 + 896*b120*b562 + 3360*b120*b563 + 540*b120*b564 + 432*b120*b565
     + 1620*b120*b566 + 1120*b120*b567 + 896*b120*b568 + 3360*b120*b569 + 560*
    b120*b570 + 448*b120*b571 + 1680*b120*b572 + 1280*b120*b573 + 1024*b120*
    b574 + 3840*b120*b575 + 1960*b120*b576 + 1568*b120*b577 + 5880*b120*b578 + 
    1380*b120*b579 + 1104*b120*b580 + 4140*b120*b581 + 1380*b120*b582 + 1104*
    b120*b583 + 4140*b120*b584 + 1860*b120*b585 + 1488*b120*b586 + 5580*b120*
    b587 + 700*b120*b588 + 560*b120*b589 + 2100*b120*b590 + 820*b120*b591 + 656
    *b120*b592 + 2460*b120*b593 + 1340*b120*b594 + 1072*b120*b595 + 4020*b120*
    b596 + 240*b120*b597 + 192*b120*b598 + 720*b120*b599 + 80*b120*b600 + 110*
    b120*b601 + 150*b120*b602 + 130*b120*b603 + 20*b120*b604 + 220*b120*b605 + 
    780*b120*b607 + 910*b120*b608 + 130*b120*b609 + 590*b120*b610 + 490*b120*
    b611 + 850*b120*b612 + 840*b120*b613 + 80*b120*b614 + 380*b120*b615 + 410*
    b120*b616 + 560*b120*b617 + 390*b120*b618 + 530*b120*b619 + 770*b120*b620
     + 500*b120*b621 + 300*b120*b622 + 690*b120*b623 + 180*b120*b624 + 144*b120
    *b625 + 540*b120*b626 + 2464*b121*b135 + 3388*b121*b136 + 880*b121*b137 + 
    3652*b121*b138 + 1276*b121*b139 + 2640*b121*b140 + 2508*b121*b141 + 3432*
    b121*b142 + 2552*b121*b144 + 2420*b121*b145 + 836*b121*b146 + 3740*b121*
    b147 + 2288*b121*b148 + 1496*b121*b149 + 1760*b121*b150 + 3036*b121*b151 + 
    528*b121*b152 + 3740*b121*b153 + 3168*b121*b154 + 308*b121*b155 + 2156*b121
    *b156 + 7952*b121*b157 + 10934*b121*b158 + 2840*b121*b159 + 11786*b121*b160
     + 4118*b121*b161 + 8520*b121*b162 + 8094*b121*b163 + 11076*b121*b164 + 
    8236*b121*b166 + 7810*b121*b167 + 2698*b121*b168 + 12070*b121*b169 + 7384*
    b121*b170 + 4828*b121*b171 + 5680*b121*b172 + 9798*b121*b173 + 1704*b121*
    b174 + 12070*b121*b175 + 10224*b121*b176 + 994*b121*b177 + 6958*b121*b178
     + 6496*b121*b179 + 8932*b121*b180 + 2320*b121*b181 + 9628*b121*b182 + 3364
    *b121*b183 + 6960*b121*b184 + 6612*b121*b185 + 9048*b121*b186 + 6728*b121*
    b188 + 6380*b121*b189 + 2204*b121*b190 + 9860*b121*b191 + 6032*b121*b192 + 
    3944*b121*b193 + 4640*b121*b194 + 8004*b121*b195 + 1392*b121*b196 + 9860*
    b121*b197 + 8352*b121*b198 + 812*b121*b199 + 5684*b121*b200 + 4704*b121*
    b201 + 6468*b121*b202 + 1680*b121*b203 + 6972*b121*b204 + 2436*b121*b205 + 
    5040*b121*b206 + 4788*b121*b207 + 6552*b121*b208 + 4872*b121*b210 + 4620*
    b121*b211 + 1596*b121*b212 + 7140*b121*b213 + 4368*b121*b214 + 2856*b121*
    b215 + 3360*b121*b216 + 5796*b121*b217 + 1008*b121*b218 + 7140*b121*b219 + 
    6048*b121*b220 + 588*b121*b221 + 4116*b121*b222 + 10192*b121*b223 + 14014*
    b121*b224 + 3640*b121*b225 + 15106*b121*b226 + 5278*b121*b227 + 10920*b121*
    b228 + 10374*b121*b229 + 14196*b121*b230 + 10556*b121*b232 + 10010*b121*
    b233 + 3458*b121*b234 + 15470*b121*b235 + 9464*b121*b236 + 6188*b121*b237
     + 7280*b121*b238 + 12558*b121*b239 + 2184*b121*b240 + 15470*b121*b241 + 
    13104*b121*b242 + 1274*b121*b243 + 8918*b121*b244 + 6272*b121*b245 + 8624*
    b121*b246 + 2240*b121*b247 + 9296*b121*b248 + 3248*b121*b249 + 6720*b121*
    b250 + 6384*b121*b251 + 8736*b121*b252 + 6496*b121*b254 + 6160*b121*b255 + 
    2128*b121*b256 + 9520*b121*b257 + 5824*b121*b258 + 3808*b121*b259 + 4480*
    b121*b260 + 7728*b121*b261 + 1344*b121*b262 + 9520*b121*b263 + 8064*b121*
    b264 + 784*b121*b265 + 5488*b121*b266 + 3024*b121*b267 + 4158*b121*b268 + 
    1080*b121*b269 + 4482*b121*b270 + 1566*b121*b271 + 3240*b121*b272 + 3078*
    b121*b273 + 4212*b121*b274 + 3132*b121*b276 + 2970*b121*b277 + 1026*b121*
    b278 + 4590*b121*b279 + 2808*b121*b280 + 1836*b121*b281 + 2160*b121*b282 + 
    3726*b121*b283 + 648*b121*b284 + 4590*b121*b285 + 3888*b121*b286 + 378*b121
    *b287 + 2646*b121*b288 + 6272*b121*b289 + 8624*b121*b290 + 2240*b121*b291
     + 9296*b121*b292 + 3248*b121*b293 + 6720*b121*b294 + 6384*b121*b295 + 8736
    *b121*b296 + 6496*b121*b298 + 6160*b121*b299 + 2128*b121*b300 + 9520*b121*
    b301 + 5824*b121*b302 + 3808*b121*b303 + 4480*b121*b304 + 7728*b121*b305 + 
    1344*b121*b306 + 9520*b121*b307 + 8064*b121*b308 + 784*b121*b309 + 5488*
    b121*b310 + 3136*b121*b311 + 4312*b121*b312 + 1120*b121*b313 + 4648*b121*
    b314 + 1624*b121*b315 + 3360*b121*b316 + 3192*b121*b317 + 4368*b121*b318 + 
    3248*b121*b320 + 3080*b121*b321 + 1064*b121*b322 + 4760*b121*b323 + 2912*
    b121*b324 + 1904*b121*b325 + 2240*b121*b326 + 3864*b121*b327 + 672*b121*
    b328 + 4760*b121*b329 + 4032*b121*b330 + 392*b121*b331 + 2744*b121*b332 + 
    7168*b121*b333 + 9856*b121*b334 + 2560*b121*b335 + 10624*b121*b336 + 3712*
    b121*b337 + 7680*b121*b338 + 7296*b121*b339 + 9984*b121*b340 + 7424*b121*
    b342 + 7040*b121*b343 + 2432*b121*b344 + 10880*b121*b345 + 6656*b121*b346
     + 4352*b121*b347 + 5120*b121*b348 + 8832*b121*b349 + 1536*b121*b350 + 
    10880*b121*b351 + 9216*b121*b352 + 896*b121*b353 + 6272*b121*b354 + 10976*
    b121*b355 + 15092*b121*b356 + 3920*b121*b357 + 16268*b121*b358 + 5684*b121*
    b359 + 11760*b121*b360 + 11172*b121*b361 + 15288*b121*b362 + 11368*b121*
    b364 + 10780*b121*b365 + 3724*b121*b366 + 16660*b121*b367 + 10192*b121*b368
     + 6664*b121*b369 + 7840*b121*b370 + 13524*b121*b371 + 2352*b121*b372 + 
    16660*b121*b373 + 14112*b121*b374 + 1372*b121*b375 + 9604*b121*b376 + 7728*
    b121*b377 + 10626*b121*b378 + 2760*b121*b379 + 11454*b121*b380 + 4002*b121*
    b381 + 8280*b121*b382 + 7866*b121*b383 + 10764*b121*b384 + 8004*b121*b386
     + 7590*b121*b387 + 2622*b121*b388 + 11730*b121*b389 + 7176*b121*b390 + 
    4692*b121*b391 + 5520*b121*b392 + 9522*b121*b393 + 1656*b121*b394 + 11730*
    b121*b395 + 9936*b121*b396 + 966*b121*b397 + 6762*b121*b398 + 7728*b121*
    b399 + 10626*b121*b400 + 2760*b121*b401 + 11454*b121*b402 + 4002*b121*b403
     + 8280*b121*b404 + 7866*b121*b405 + 10764*b121*b406 + 8004*b121*b408 + 
    7590*b121*b409 + 2622*b121*b410 + 11730*b121*b411 + 7176*b121*b412 + 4692*
    b121*b413 + 5520*b121*b414 + 9522*b121*b415 + 1656*b121*b416 + 11730*b121*
    b417 + 9936*b121*b418 + 966*b121*b419 + 6762*b121*b420 + 10416*b121*b421 + 
    14322*b121*b422 + 3720*b121*b423 + 15438*b121*b424 + 5394*b121*b425 + 11160
    *b121*b426 + 10602*b121*b427 + 14508*b121*b428 + 10788*b121*b430 + 10230*
    b121*b431 + 3534*b121*b432 + 15810*b121*b433 + 9672*b121*b434 + 6324*b121*
    b435 + 7440*b121*b436 + 12834*b121*b437 + 2232*b121*b438 + 15810*b121*b439
     + 13392*b121*b440 + 1302*b121*b441 + 9114*b121*b442 + 3920*b121*b443 + 
    5390*b121*b444 + 1400*b121*b445 + 5810*b121*b446 + 2030*b121*b447 + 4200*
    b121*b448 + 3990*b121*b449 + 5460*b121*b450 + 4060*b121*b452 + 3850*b121*
    b453 + 1330*b121*b454 + 5950*b121*b455 + 3640*b121*b456 + 2380*b121*b457 + 
    2800*b121*b458 + 4830*b121*b459 + 840*b121*b460 + 5950*b121*b461 + 5040*
    b121*b462 + 490*b121*b463 + 3430*b121*b464 + 4592*b121*b465 + 6314*b121*
    b466 + 1640*b121*b467 + 6806*b121*b468 + 2378*b121*b469 + 4920*b121*b470 + 
    4674*b121*b471 + 6396*b121*b472 + 4756*b121*b474 + 4510*b121*b475 + 1558*
    b121*b476 + 6970*b121*b477 + 4264*b121*b478 + 2788*b121*b479 + 3280*b121*
    b480 + 5658*b121*b481 + 984*b121*b482 + 6970*b121*b483 + 5904*b121*b484 + 
    574*b121*b485 + 4018*b121*b486 + 7504*b121*b487 + 10318*b121*b488 + 2680*
    b121*b489 + 11122*b121*b490 + 3886*b121*b491 + 8040*b121*b492 + 7638*b121*
    b493 + 10452*b121*b494 + 7772*b121*b496 + 7370*b121*b497 + 2546*b121*b498
     + 11390*b121*b499 + 6968*b121*b500 + 4556*b121*b501 + 5360*b121*b502 + 
    9246*b121*b503 + 1608*b121*b504 + 11390*b121*b505 + 9648*b121*b506 + 938*
    b121*b507 + 6566*b121*b508 + 1344*b121*b509 + 1848*b121*b510 + 480*b121*
    b511 + 1992*b121*b512 + 696*b121*b513 + 1440*b121*b514 + 1368*b121*b515 + 
    1872*b121*b516 + 1392*b121*b518 + 1320*b121*b519 + 456*b121*b520 + 2040*
    b121*b521 + 1248*b121*b522 + 816*b121*b523 + 960*b121*b524 + 1656*b121*b525
     + 288*b121*b526 + 2040*b121*b527 + 1728*b121*b528 + 168*b121*b529 + 1176*
    b121*b530 + 296*b121*b531 + 3922*b121*b532 + 3404*b121*b533 + 656*b121*b534
     + 8692*b121*b535 + 7544*b121*b536 + 728*b121*b537 + 9646*b121*b538 + 8372*
    b121*b539 + 8*b121*b540 + 106*b121*b541 + 92*b121*b542 + 176*b121*b546 + 
    2332*b121*b547 + 2024*b121*b548 + 568*b121*b549 + 7526*b121*b550 + 6532*
    b121*b551 + 464*b121*b552 + 6148*b121*b553 + 5336*b121*b554 + 336*b121*b555
     + 4452*b121*b556 + 3864*b121*b557 + 728*b121*b558 + 9646*b121*b559 + 8372*
    b121*b560 + 448*b121*b561 + 5936*b121*b562 + 5152*b121*b563 + 216*b121*b564
     + 2862*b121*b565 + 2484*b121*b566 + 448*b121*b567 + 5936*b121*b568 + 5152*
    b121*b569 + 224*b121*b570 + 2968*b121*b571 + 2576*b121*b572 + 512*b121*b573
     + 6784*b121*b574 + 5888*b121*b575 + 784*b121*b576 + 10388*b121*b577 + 9016
    *b121*b578 + 552*b121*b579 + 7314*b121*b580 + 6348*b121*b581 + 552*b121*
    b582 + 7314*b121*b583 + 6348*b121*b584 + 744*b121*b585 + 9858*b121*b586 + 
    8556*b121*b587 + 280*b121*b588 + 3710*b121*b589 + 3220*b121*b590 + 328*b121
    *b591 + 4346*b121*b592 + 3772*b121*b593 + 536*b121*b594 + 7102*b121*b595 + 
    6164*b121*b596 + 96*b121*b597 + 1272*b121*b598 + 1104*b121*b599 + 770*b121*
    b600 + 200*b121*b601 + 830*b121*b602 + 290*b121*b603 + 600*b121*b604 + 570*
    b121*b605 + 780*b121*b606 + 580*b121*b608 + 550*b121*b609 + 190*b121*b610
     + 850*b121*b611 + 520*b121*b612 + 340*b121*b613 + 530*b121*b614 + 400*b121
    *b615 + 690*b121*b616 + 120*b121*b617 + 850*b121*b618 + 720*b121*b619 + 70*
    b121*b620 + 490*b121*b621 + 460*b121*b622 + 560*b121*b623 + 72*b121*b624 + 
    954*b121*b625 + 828*b121*b626 + 3784*b122*b135 + 3256*b122*b136 + 924*b122*
    b137 + 4224*b122*b138 + 484*b122*b139 + 3168*b122*b140 + 2772*b122*b141 + 
    4004*b122*b142 + 2552*b122*b143 + 3828*b122*b145 + 2552*b122*b146 + 748*
    b122*b147 + 2992*b122*b148 + 1188*b122*b149 + 264*b122*b150 + 2948*b122*
    b151 + 1144*b122*b152 + 3608*b122*b153 + 1936*b122*b154 + 1540*b122*b155 + 
    132*b122*b156 + 12212*b122*b157 + 10508*b122*b158 + 2982*b122*b159 + 13632*
    b122*b160 + 1562*b122*b161 + 10224*b122*b162 + 8946*b122*b163 + 12922*b122*
    b164 + 8236*b122*b165 + 12354*b122*b167 + 8236*b122*b168 + 2414*b122*b169
     + 9656*b122*b170 + 3834*b122*b171 + 852*b122*b172 + 9514*b122*b173 + 3692*
    b122*b174 + 11644*b122*b175 + 6248*b122*b176 + 4970*b122*b177 + 426*b122*
    b178 + 9976*b122*b179 + 8584*b122*b180 + 2436*b122*b181 + 11136*b122*b182
     + 1276*b122*b183 + 8352*b122*b184 + 7308*b122*b185 + 10556*b122*b186 + 
    6728*b122*b187 + 10092*b122*b189 + 6728*b122*b190 + 1972*b122*b191 + 7888*
    b122*b192 + 3132*b122*b193 + 696*b122*b194 + 7772*b122*b195 + 3016*b122*
    b196 + 9512*b122*b197 + 5104*b122*b198 + 4060*b122*b199 + 348*b122*b200 + 
    7224*b122*b201 + 6216*b122*b202 + 1764*b122*b203 + 8064*b122*b204 + 924*
    b122*b205 + 6048*b122*b206 + 5292*b122*b207 + 7644*b122*b208 + 4872*b122*
    b209 + 7308*b122*b211 + 4872*b122*b212 + 1428*b122*b213 + 5712*b122*b214 + 
    2268*b122*b215 + 504*b122*b216 + 5628*b122*b217 + 2184*b122*b218 + 6888*
    b122*b219 + 3696*b122*b220 + 2940*b122*b221 + 252*b122*b222 + 15652*b122*
    b223 + 13468*b122*b224 + 3822*b122*b225 + 17472*b122*b226 + 2002*b122*b227
     + 13104*b122*b228 + 11466*b122*b229 + 16562*b122*b230 + 10556*b122*b231 + 
    15834*b122*b233 + 10556*b122*b234 + 3094*b122*b235 + 12376*b122*b236 + 4914
    *b122*b237 + 1092*b122*b238 + 12194*b122*b239 + 4732*b122*b240 + 14924*b122
    *b241 + 8008*b122*b242 + 6370*b122*b243 + 546*b122*b244 + 9632*b122*b245 + 
    8288*b122*b246 + 2352*b122*b247 + 10752*b122*b248 + 1232*b122*b249 + 8064*
    b122*b250 + 7056*b122*b251 + 10192*b122*b252 + 6496*b122*b253 + 9744*b122*
    b255 + 6496*b122*b256 + 1904*b122*b257 + 7616*b122*b258 + 3024*b122*b259 + 
    672*b122*b260 + 7504*b122*b261 + 2912*b122*b262 + 9184*b122*b263 + 4928*
    b122*b264 + 3920*b122*b265 + 336*b122*b266 + 4644*b122*b267 + 3996*b122*
    b268 + 1134*b122*b269 + 5184*b122*b270 + 594*b122*b271 + 3888*b122*b272 + 
    3402*b122*b273 + 4914*b122*b274 + 3132*b122*b275 + 4698*b122*b277 + 3132*
    b122*b278 + 918*b122*b279 + 3672*b122*b280 + 1458*b122*b281 + 324*b122*b282
     + 3618*b122*b283 + 1404*b122*b284 + 4428*b122*b285 + 2376*b122*b286 + 1890
    *b122*b287 + 162*b122*b288 + 9632*b122*b289 + 8288*b122*b290 + 2352*b122*
    b291 + 10752*b122*b292 + 1232*b122*b293 + 8064*b122*b294 + 7056*b122*b295
     + 10192*b122*b296 + 6496*b122*b297 + 9744*b122*b299 + 6496*b122*b300 + 
    1904*b122*b301 + 7616*b122*b302 + 3024*b122*b303 + 672*b122*b304 + 7504*
    b122*b305 + 2912*b122*b306 + 9184*b122*b307 + 4928*b122*b308 + 3920*b122*
    b309 + 336*b122*b310 + 4816*b122*b311 + 4144*b122*b312 + 1176*b122*b313 + 
    5376*b122*b314 + 616*b122*b315 + 4032*b122*b316 + 3528*b122*b317 + 5096*
    b122*b318 + 3248*b122*b319 + 4872*b122*b321 + 3248*b122*b322 + 952*b122*
    b323 + 3808*b122*b324 + 1512*b122*b325 + 336*b122*b326 + 3752*b122*b327 + 
    1456*b122*b328 + 4592*b122*b329 + 2464*b122*b330 + 1960*b122*b331 + 168*
    b122*b332 + 11008*b122*b333 + 9472*b122*b334 + 2688*b122*b335 + 12288*b122*
    b336 + 1408*b122*b337 + 9216*b122*b338 + 8064*b122*b339 + 11648*b122*b340
     + 7424*b122*b341 + 11136*b122*b343 + 7424*b122*b344 + 2176*b122*b345 + 
    8704*b122*b346 + 3456*b122*b347 + 768*b122*b348 + 8576*b122*b349 + 3328*
    b122*b350 + 10496*b122*b351 + 5632*b122*b352 + 4480*b122*b353 + 384*b122*
    b354 + 16856*b122*b355 + 14504*b122*b356 + 4116*b122*b357 + 18816*b122*b358
     + 2156*b122*b359 + 14112*b122*b360 + 12348*b122*b361 + 17836*b122*b362 + 
    11368*b122*b363 + 17052*b122*b365 + 11368*b122*b366 + 3332*b122*b367 + 
    13328*b122*b368 + 5292*b122*b369 + 1176*b122*b370 + 13132*b122*b371 + 5096*
    b122*b372 + 16072*b122*b373 + 8624*b122*b374 + 6860*b122*b375 + 588*b122*
    b376 + 11868*b122*b377 + 10212*b122*b378 + 2898*b122*b379 + 13248*b122*b380
     + 1518*b122*b381 + 9936*b122*b382 + 8694*b122*b383 + 12558*b122*b384 + 
    8004*b122*b385 + 12006*b122*b387 + 8004*b122*b388 + 2346*b122*b389 + 9384*
    b122*b390 + 3726*b122*b391 + 828*b122*b392 + 9246*b122*b393 + 3588*b122*
    b394 + 11316*b122*b395 + 6072*b122*b396 + 4830*b122*b397 + 414*b122*b398 + 
    11868*b122*b399 + 10212*b122*b400 + 2898*b122*b401 + 13248*b122*b402 + 1518
    *b122*b403 + 9936*b122*b404 + 8694*b122*b405 + 12558*b122*b406 + 8004*b122*
    b407 + 12006*b122*b409 + 8004*b122*b410 + 2346*b122*b411 + 9384*b122*b412
     + 3726*b122*b413 + 828*b122*b414 + 9246*b122*b415 + 3588*b122*b416 + 11316
    *b122*b417 + 6072*b122*b418 + 4830*b122*b419 + 414*b122*b420 + 15996*b122*
    b421 + 13764*b122*b422 + 3906*b122*b423 + 17856*b122*b424 + 2046*b122*b425
     + 13392*b122*b426 + 11718*b122*b427 + 16926*b122*b428 + 10788*b122*b429 + 
    16182*b122*b431 + 10788*b122*b432 + 3162*b122*b433 + 12648*b122*b434 + 5022
    *b122*b435 + 1116*b122*b436 + 12462*b122*b437 + 4836*b122*b438 + 15252*b122
    *b439 + 8184*b122*b440 + 6510*b122*b441 + 558*b122*b442 + 6020*b122*b443 + 
    5180*b122*b444 + 1470*b122*b445 + 6720*b122*b446 + 770*b122*b447 + 5040*
    b122*b448 + 4410*b122*b449 + 6370*b122*b450 + 4060*b122*b451 + 6090*b122*
    b453 + 4060*b122*b454 + 1190*b122*b455 + 4760*b122*b456 + 1890*b122*b457 + 
    420*b122*b458 + 4690*b122*b459 + 1820*b122*b460 + 5740*b122*b461 + 3080*
    b122*b462 + 2450*b122*b463 + 210*b122*b464 + 7052*b122*b465 + 6068*b122*
    b466 + 1722*b122*b467 + 7872*b122*b468 + 902*b122*b469 + 5904*b122*b470 + 
    5166*b122*b471 + 7462*b122*b472 + 4756*b122*b473 + 7134*b122*b475 + 4756*
    b122*b476 + 1394*b122*b477 + 5576*b122*b478 + 2214*b122*b479 + 492*b122*
    b480 + 5494*b122*b481 + 2132*b122*b482 + 6724*b122*b483 + 3608*b122*b484 + 
    2870*b122*b485 + 246*b122*b486 + 11524*b122*b487 + 9916*b122*b488 + 2814*
    b122*b489 + 12864*b122*b490 + 1474*b122*b491 + 9648*b122*b492 + 8442*b122*
    b493 + 12194*b122*b494 + 7772*b122*b495 + 11658*b122*b497 + 7772*b122*b498
     + 2278*b122*b499 + 9112*b122*b500 + 3618*b122*b501 + 804*b122*b502 + 8978*
    b122*b503 + 3484*b122*b504 + 10988*b122*b505 + 5896*b122*b506 + 4690*b122*
    b507 + 402*b122*b508 + 2064*b122*b509 + 1776*b122*b510 + 504*b122*b511 + 
    2304*b122*b512 + 264*b122*b513 + 1728*b122*b514 + 1512*b122*b515 + 2184*
    b122*b516 + 1392*b122*b517 + 2088*b122*b519 + 1392*b122*b520 + 408*b122*
    b521 + 1632*b122*b522 + 648*b122*b523 + 144*b122*b524 + 1608*b122*b525 + 
    624*b122*b526 + 1968*b122*b527 + 1056*b122*b528 + 840*b122*b529 + 72*b122*
    b530 + 4662*b122*b531 + 1554*b122*b532 + 4588*b122*b533 + 10332*b122*b534
     + 3444*b122*b535 + 10168*b122*b536 + 11466*b122*b537 + 3822*b122*b538 + 
    11284*b122*b539 + 126*b122*b540 + 42*b122*b541 + 124*b122*b542 + 2772*b122*
    b546 + 924*b122*b547 + 2728*b122*b548 + 8946*b122*b549 + 2982*b122*b550 + 
    8804*b122*b551 + 7308*b122*b552 + 2436*b122*b553 + 7192*b122*b554 + 5292*
    b122*b555 + 1764*b122*b556 + 5208*b122*b557 + 11466*b122*b558 + 3822*b122*
    b559 + 11284*b122*b560 + 7056*b122*b561 + 2352*b122*b562 + 6944*b122*b563
     + 3402*b122*b564 + 1134*b122*b565 + 3348*b122*b566 + 7056*b122*b567 + 2352
    *b122*b568 + 6944*b122*b569 + 3528*b122*b570 + 1176*b122*b571 + 3472*b122*
    b572 + 8064*b122*b573 + 2688*b122*b574 + 7936*b122*b575 + 12348*b122*b576
     + 4116*b122*b577 + 12152*b122*b578 + 8694*b122*b579 + 2898*b122*b580 + 
    8556*b122*b581 + 8694*b122*b582 + 2898*b122*b583 + 8556*b122*b584 + 11718*
    b122*b585 + 3906*b122*b586 + 11532*b122*b587 + 4410*b122*b588 + 1470*b122*
    b589 + 4340*b122*b590 + 5166*b122*b591 + 1722*b122*b592 + 5084*b122*b593 + 
    8442*b122*b594 + 2814*b122*b595 + 8308*b122*b596 + 1512*b122*b597 + 504*
    b122*b598 + 1488*b122*b599 + 740*b122*b600 + 210*b122*b601 + 960*b122*b602
     + 110*b122*b603 + 720*b122*b604 + 630*b122*b605 + 910*b122*b606 + 580*b122
    *b607 + 870*b122*b609 + 580*b122*b610 + 170*b122*b611 + 680*b122*b612 + 270
    *b122*b613 + 210*b122*b614 + 60*b122*b615 + 670*b122*b616 + 260*b122*b617
     + 820*b122*b618 + 440*b122*b619 + 350*b122*b620 + 30*b122*b621 + 620*b122*
    b622 + 860*b122*b623 + 1134*b122*b624 + 378*b122*b625 + 1116*b122*b626 + 
    1980*b123*b135 + 1320*b123*b136 + 2684*b123*b137 + 3256*b123*b138 + 3388*
    b123*b139 + 3256*b123*b140 + 264*b123*b141 + 572*b123*b142 + 2420*b123*b143
     + 3828*b123*b144 + 352*b123*b146 + 2244*b123*b147 + 44*b123*b148 + 4004*
    b123*b149 + 3828*b123*b150 + 3168*b123*b151 + 1980*b123*b152 + 4224*b123*
    b153 + 308*b123*b154 + 3828*b123*b155 + 2992*b123*b156 + 6390*b123*b157 + 
    4260*b123*b158 + 8662*b123*b159 + 10508*b123*b160 + 10934*b123*b161 + 10508
    *b123*b162 + 852*b123*b163 + 1846*b123*b164 + 7810*b123*b165 + 12354*b123*
    b166 + 1136*b123*b168 + 7242*b123*b169 + 142*b123*b170 + 12922*b123*b171 + 
    12354*b123*b172 + 10224*b123*b173 + 6390*b123*b174 + 13632*b123*b175 + 994*
    b123*b176 + 12354*b123*b177 + 9656*b123*b178 + 5220*b123*b179 + 3480*b123*
    b180 + 7076*b123*b181 + 8584*b123*b182 + 8932*b123*b183 + 8584*b123*b184 + 
    696*b123*b185 + 1508*b123*b186 + 6380*b123*b187 + 10092*b123*b188 + 928*
    b123*b190 + 5916*b123*b191 + 116*b123*b192 + 10556*b123*b193 + 10092*b123*
    b194 + 8352*b123*b195 + 5220*b123*b196 + 11136*b123*b197 + 812*b123*b198 + 
    10092*b123*b199 + 7888*b123*b200 + 3780*b123*b201 + 2520*b123*b202 + 5124*
    b123*b203 + 6216*b123*b204 + 6468*b123*b205 + 6216*b123*b206 + 504*b123*
    b207 + 1092*b123*b208 + 4620*b123*b209 + 7308*b123*b210 + 672*b123*b212 + 
    4284*b123*b213 + 84*b123*b214 + 7644*b123*b215 + 7308*b123*b216 + 6048*b123
    *b217 + 3780*b123*b218 + 8064*b123*b219 + 588*b123*b220 + 7308*b123*b221 + 
    5712*b123*b222 + 8190*b123*b223 + 5460*b123*b224 + 11102*b123*b225 + 13468*
    b123*b226 + 14014*b123*b227 + 13468*b123*b228 + 1092*b123*b229 + 2366*b123*
    b230 + 10010*b123*b231 + 15834*b123*b232 + 1456*b123*b234 + 9282*b123*b235
     + 182*b123*b236 + 16562*b123*b237 + 15834*b123*b238 + 13104*b123*b239 + 
    8190*b123*b240 + 17472*b123*b241 + 1274*b123*b242 + 15834*b123*b243 + 12376
    *b123*b244 + 5040*b123*b245 + 3360*b123*b246 + 6832*b123*b247 + 8288*b123*
    b248 + 8624*b123*b249 + 8288*b123*b250 + 672*b123*b251 + 1456*b123*b252 + 
    6160*b123*b253 + 9744*b123*b254 + 896*b123*b256 + 5712*b123*b257 + 112*b123
    *b258 + 10192*b123*b259 + 9744*b123*b260 + 8064*b123*b261 + 5040*b123*b262
     + 10752*b123*b263 + 784*b123*b264 + 9744*b123*b265 + 7616*b123*b266 + 2430
    *b123*b267 + 1620*b123*b268 + 3294*b123*b269 + 3996*b123*b270 + 4158*b123*
    b271 + 3996*b123*b272 + 324*b123*b273 + 702*b123*b274 + 2970*b123*b275 + 
    4698*b123*b276 + 432*b123*b278 + 2754*b123*b279 + 54*b123*b280 + 4914*b123*
    b281 + 4698*b123*b282 + 3888*b123*b283 + 2430*b123*b284 + 5184*b123*b285 + 
    378*b123*b286 + 4698*b123*b287 + 3672*b123*b288 + 5040*b123*b289 + 3360*
    b123*b290 + 6832*b123*b291 + 8288*b123*b292 + 8624*b123*b293 + 8288*b123*
    b294 + 672*b123*b295 + 1456*b123*b296 + 6160*b123*b297 + 9744*b123*b298 + 
    896*b123*b300 + 5712*b123*b301 + 112*b123*b302 + 10192*b123*b303 + 9744*
    b123*b304 + 8064*b123*b305 + 5040*b123*b306 + 10752*b123*b307 + 784*b123*
    b308 + 9744*b123*b309 + 7616*b123*b310 + 2520*b123*b311 + 1680*b123*b312 + 
    3416*b123*b313 + 4144*b123*b314 + 4312*b123*b315 + 4144*b123*b316 + 336*
    b123*b317 + 728*b123*b318 + 3080*b123*b319 + 4872*b123*b320 + 448*b123*b322
     + 2856*b123*b323 + 56*b123*b324 + 5096*b123*b325 + 4872*b123*b326 + 4032*
    b123*b327 + 2520*b123*b328 + 5376*b123*b329 + 392*b123*b330 + 4872*b123*
    b331 + 3808*b123*b332 + 5760*b123*b333 + 3840*b123*b334 + 7808*b123*b335 + 
    9472*b123*b336 + 9856*b123*b337 + 9472*b123*b338 + 768*b123*b339 + 1664*
    b123*b340 + 7040*b123*b341 + 11136*b123*b342 + 1024*b123*b344 + 6528*b123*
    b345 + 128*b123*b346 + 11648*b123*b347 + 11136*b123*b348 + 9216*b123*b349
     + 5760*b123*b350 + 12288*b123*b351 + 896*b123*b352 + 11136*b123*b353 + 
    8704*b123*b354 + 8820*b123*b355 + 5880*b123*b356 + 11956*b123*b357 + 14504*
    b123*b358 + 15092*b123*b359 + 14504*b123*b360 + 1176*b123*b361 + 2548*b123*
    b362 + 10780*b123*b363 + 17052*b123*b364 + 1568*b123*b366 + 9996*b123*b367
     + 196*b123*b368 + 17836*b123*b369 + 17052*b123*b370 + 14112*b123*b371 + 
    8820*b123*b372 + 18816*b123*b373 + 1372*b123*b374 + 17052*b123*b375 + 13328
    *b123*b376 + 6210*b123*b377 + 4140*b123*b378 + 8418*b123*b379 + 10212*b123*
    b380 + 10626*b123*b381 + 10212*b123*b382 + 828*b123*b383 + 1794*b123*b384
     + 7590*b123*b385 + 12006*b123*b386 + 1104*b123*b388 + 7038*b123*b389 + 138
    *b123*b390 + 12558*b123*b391 + 12006*b123*b392 + 9936*b123*b393 + 6210*b123
    *b394 + 13248*b123*b395 + 966*b123*b396 + 12006*b123*b397 + 9384*b123*b398
     + 6210*b123*b399 + 4140*b123*b400 + 8418*b123*b401 + 10212*b123*b402 + 
    10626*b123*b403 + 10212*b123*b404 + 828*b123*b405 + 1794*b123*b406 + 7590*
    b123*b407 + 12006*b123*b408 + 1104*b123*b410 + 7038*b123*b411 + 138*b123*
    b412 + 12558*b123*b413 + 12006*b123*b414 + 9936*b123*b415 + 6210*b123*b416
     + 13248*b123*b417 + 966*b123*b418 + 12006*b123*b419 + 9384*b123*b420 + 
    8370*b123*b421 + 5580*b123*b422 + 11346*b123*b423 + 13764*b123*b424 + 14322
    *b123*b425 + 13764*b123*b426 + 1116*b123*b427 + 2418*b123*b428 + 10230*b123
    *b429 + 16182*b123*b430 + 1488*b123*b432 + 9486*b123*b433 + 186*b123*b434
     + 16926*b123*b435 + 16182*b123*b436 + 13392*b123*b437 + 8370*b123*b438 + 
    17856*b123*b439 + 1302*b123*b440 + 16182*b123*b441 + 12648*b123*b442 + 3150
    *b123*b443 + 2100*b123*b444 + 4270*b123*b445 + 5180*b123*b446 + 5390*b123*
    b447 + 5180*b123*b448 + 420*b123*b449 + 910*b123*b450 + 3850*b123*b451 + 
    6090*b123*b452 + 560*b123*b454 + 3570*b123*b455 + 70*b123*b456 + 6370*b123*
    b457 + 6090*b123*b458 + 5040*b123*b459 + 3150*b123*b460 + 6720*b123*b461 + 
    490*b123*b462 + 6090*b123*b463 + 4760*b123*b464 + 3690*b123*b465 + 2460*
    b123*b466 + 5002*b123*b467 + 6068*b123*b468 + 6314*b123*b469 + 6068*b123*
    b470 + 492*b123*b471 + 1066*b123*b472 + 4510*b123*b473 + 7134*b123*b474 + 
    656*b123*b476 + 4182*b123*b477 + 82*b123*b478 + 7462*b123*b479 + 7134*b123*
    b480 + 5904*b123*b481 + 3690*b123*b482 + 7872*b123*b483 + 574*b123*b484 + 
    7134*b123*b485 + 5576*b123*b486 + 6030*b123*b487 + 4020*b123*b488 + 8174*
    b123*b489 + 9916*b123*b490 + 10318*b123*b491 + 9916*b123*b492 + 804*b123*
    b493 + 1742*b123*b494 + 7370*b123*b495 + 11658*b123*b496 + 1072*b123*b498
     + 6834*b123*b499 + 134*b123*b500 + 12194*b123*b501 + 11658*b123*b502 + 
    9648*b123*b503 + 6030*b123*b504 + 12864*b123*b505 + 938*b123*b506 + 11658*
    b123*b507 + 9112*b123*b508 + 1080*b123*b509 + 720*b123*b510 + 1464*b123*
    b511 + 1776*b123*b512 + 1848*b123*b513 + 1776*b123*b514 + 144*b123*b515 + 
    312*b123*b516 + 1320*b123*b517 + 2088*b123*b518 + 192*b123*b520 + 1224*b123
    *b521 + 24*b123*b522 + 2184*b123*b523 + 2088*b123*b524 + 1728*b123*b525 + 
    1080*b123*b526 + 2304*b123*b527 + 168*b123*b528 + 2088*b123*b529 + 1632*
    b123*b530 + 444*b123*b531 + 2886*b123*b532 + 2442*b123*b533 + 984*b123*b534
     + 6396*b123*b535 + 5412*b123*b536 + 1092*b123*b537 + 7098*b123*b538 + 6006
    *b123*b539 + 12*b123*b540 + 78*b123*b541 + 66*b123*b542 + 264*b123*b546 + 
    1716*b123*b547 + 1452*b123*b548 + 852*b123*b549 + 5538*b123*b550 + 4686*
    b123*b551 + 696*b123*b552 + 4524*b123*b553 + 3828*b123*b554 + 504*b123*b555
     + 3276*b123*b556 + 2772*b123*b557 + 1092*b123*b558 + 7098*b123*b559 + 6006
    *b123*b560 + 672*b123*b561 + 4368*b123*b562 + 3696*b123*b563 + 324*b123*
    b564 + 2106*b123*b565 + 1782*b123*b566 + 672*b123*b567 + 4368*b123*b568 + 
    3696*b123*b569 + 336*b123*b570 + 2184*b123*b571 + 1848*b123*b572 + 768*b123
    *b573 + 4992*b123*b574 + 4224*b123*b575 + 1176*b123*b576 + 7644*b123*b577
     + 6468*b123*b578 + 828*b123*b579 + 5382*b123*b580 + 4554*b123*b581 + 828*
    b123*b582 + 5382*b123*b583 + 4554*b123*b584 + 1116*b123*b585 + 7254*b123*
    b586 + 6138*b123*b587 + 420*b123*b588 + 2730*b123*b589 + 2310*b123*b590 + 
    492*b123*b591 + 3198*b123*b592 + 2706*b123*b593 + 804*b123*b594 + 5226*b123
    *b595 + 4422*b123*b596 + 144*b123*b597 + 936*b123*b598 + 792*b123*b599 + 
    300*b123*b600 + 610*b123*b601 + 740*b123*b602 + 770*b123*b603 + 740*b123*
    b604 + 60*b123*b605 + 130*b123*b606 + 550*b123*b607 + 870*b123*b608 + 80*
    b123*b610 + 510*b123*b611 + 10*b123*b612 + 910*b123*b613 + 390*b123*b614 + 
    870*b123*b615 + 720*b123*b616 + 450*b123*b617 + 960*b123*b618 + 70*b123*
    b619 + 870*b123*b620 + 680*b123*b621 + 330*b123*b622 + 450*b123*b623 + 108*
    b123*b624 + 702*b123*b625 + 594*b123*b626 + 4004*b124*b135 + 3916*b124*b136
     + 3520*b124*b137 + 1980*b124*b138 + 1408*b124*b139 + 2024*b124*b140 + 2596
    *b124*b142 + 836*b124*b143 + 2552*b124*b144 + 352*b124*b145 + 132*b124*b147
     + 924*b124*b148 + 3960*b124*b149 + 2068*b124*b150 + 1100*b124*b151 + 1320*
    b124*b152 + 1892*b124*b153 + 4268*b124*b154 + 1452*b124*b155 + 1540*b124*
    b156 + 12922*b124*b157 + 12638*b124*b158 + 11360*b124*b159 + 6390*b124*b160
     + 4544*b124*b161 + 6532*b124*b162 + 8378*b124*b164 + 2698*b124*b165 + 8236
    *b124*b166 + 1136*b124*b167 + 426*b124*b169 + 2982*b124*b170 + 12780*b124*
    b171 + 6674*b124*b172 + 3550*b124*b173 + 4260*b124*b174 + 6106*b124*b175 + 
    13774*b124*b176 + 4686*b124*b177 + 4970*b124*b178 + 10556*b124*b179 + 10324
    *b124*b180 + 9280*b124*b181 + 5220*b124*b182 + 3712*b124*b183 + 5336*b124*
    b184 + 6844*b124*b186 + 2204*b124*b187 + 6728*b124*b188 + 928*b124*b189 + 
    348*b124*b191 + 2436*b124*b192 + 10440*b124*b193 + 5452*b124*b194 + 2900*
    b124*b195 + 3480*b124*b196 + 4988*b124*b197 + 11252*b124*b198 + 3828*b124*
    b199 + 4060*b124*b200 + 7644*b124*b201 + 7476*b124*b202 + 6720*b124*b203 + 
    3780*b124*b204 + 2688*b124*b205 + 3864*b124*b206 + 4956*b124*b208 + 1596*
    b124*b209 + 4872*b124*b210 + 672*b124*b211 + 252*b124*b213 + 1764*b124*b214
     + 7560*b124*b215 + 3948*b124*b216 + 2100*b124*b217 + 2520*b124*b218 + 3612
    *b124*b219 + 8148*b124*b220 + 2772*b124*b221 + 2940*b124*b222 + 16562*b124*
    b223 + 16198*b124*b224 + 14560*b124*b225 + 8190*b124*b226 + 5824*b124*b227
     + 8372*b124*b228 + 10738*b124*b230 + 3458*b124*b231 + 10556*b124*b232 + 
    1456*b124*b233 + 546*b124*b235 + 3822*b124*b236 + 16380*b124*b237 + 8554*
    b124*b238 + 4550*b124*b239 + 5460*b124*b240 + 7826*b124*b241 + 17654*b124*
    b242 + 6006*b124*b243 + 6370*b124*b244 + 10192*b124*b245 + 9968*b124*b246
     + 8960*b124*b247 + 5040*b124*b248 + 3584*b124*b249 + 5152*b124*b250 + 6608
    *b124*b252 + 2128*b124*b253 + 6496*b124*b254 + 896*b124*b255 + 336*b124*
    b257 + 2352*b124*b258 + 10080*b124*b259 + 5264*b124*b260 + 2800*b124*b261
     + 3360*b124*b262 + 4816*b124*b263 + 10864*b124*b264 + 3696*b124*b265 + 
    3920*b124*b266 + 4914*b124*b267 + 4806*b124*b268 + 4320*b124*b269 + 2430*
    b124*b270 + 1728*b124*b271 + 2484*b124*b272 + 3186*b124*b274 + 1026*b124*
    b275 + 3132*b124*b276 + 432*b124*b277 + 162*b124*b279 + 1134*b124*b280 + 
    4860*b124*b281 + 2538*b124*b282 + 1350*b124*b283 + 1620*b124*b284 + 2322*
    b124*b285 + 5238*b124*b286 + 1782*b124*b287 + 1890*b124*b288 + 10192*b124*
    b289 + 9968*b124*b290 + 8960*b124*b291 + 5040*b124*b292 + 3584*b124*b293 + 
    5152*b124*b294 + 6608*b124*b296 + 2128*b124*b297 + 6496*b124*b298 + 896*
    b124*b299 + 336*b124*b301 + 2352*b124*b302 + 10080*b124*b303 + 5264*b124*
    b304 + 2800*b124*b305 + 3360*b124*b306 + 4816*b124*b307 + 10864*b124*b308
     + 3696*b124*b309 + 3920*b124*b310 + 5096*b124*b311 + 4984*b124*b312 + 4480
    *b124*b313 + 2520*b124*b314 + 1792*b124*b315 + 2576*b124*b316 + 3304*b124*
    b318 + 1064*b124*b319 + 3248*b124*b320 + 448*b124*b321 + 168*b124*b323 + 
    1176*b124*b324 + 5040*b124*b325 + 2632*b124*b326 + 1400*b124*b327 + 1680*
    b124*b328 + 2408*b124*b329 + 5432*b124*b330 + 1848*b124*b331 + 1960*b124*
    b332 + 11648*b124*b333 + 11392*b124*b334 + 10240*b124*b335 + 5760*b124*b336
     + 4096*b124*b337 + 5888*b124*b338 + 7552*b124*b340 + 2432*b124*b341 + 7424
    *b124*b342 + 1024*b124*b343 + 384*b124*b345 + 2688*b124*b346 + 11520*b124*
    b347 + 6016*b124*b348 + 3200*b124*b349 + 3840*b124*b350 + 5504*b124*b351 + 
    12416*b124*b352 + 4224*b124*b353 + 4480*b124*b354 + 17836*b124*b355 + 17444
    *b124*b356 + 15680*b124*b357 + 8820*b124*b358 + 6272*b124*b359 + 9016*b124*
    b360 + 11564*b124*b362 + 3724*b124*b363 + 11368*b124*b364 + 1568*b124*b365
     + 588*b124*b367 + 4116*b124*b368 + 17640*b124*b369 + 9212*b124*b370 + 4900
    *b124*b371 + 5880*b124*b372 + 8428*b124*b373 + 19012*b124*b374 + 6468*b124*
    b375 + 6860*b124*b376 + 12558*b124*b377 + 12282*b124*b378 + 11040*b124*b379
     + 6210*b124*b380 + 4416*b124*b381 + 6348*b124*b382 + 8142*b124*b384 + 2622
    *b124*b385 + 8004*b124*b386 + 1104*b124*b387 + 414*b124*b389 + 2898*b124*
    b390 + 12420*b124*b391 + 6486*b124*b392 + 3450*b124*b393 + 4140*b124*b394
     + 5934*b124*b395 + 13386*b124*b396 + 4554*b124*b397 + 4830*b124*b398 + 
    12558*b124*b399 + 12282*b124*b400 + 11040*b124*b401 + 6210*b124*b402 + 4416
    *b124*b403 + 6348*b124*b404 + 8142*b124*b406 + 2622*b124*b407 + 8004*b124*
    b408 + 1104*b124*b409 + 414*b124*b411 + 2898*b124*b412 + 12420*b124*b413 + 
    6486*b124*b414 + 3450*b124*b415 + 4140*b124*b416 + 5934*b124*b417 + 13386*
    b124*b418 + 4554*b124*b419 + 4830*b124*b420 + 16926*b124*b421 + 16554*b124*
    b422 + 14880*b124*b423 + 8370*b124*b424 + 5952*b124*b425 + 8556*b124*b426
     + 10974*b124*b428 + 3534*b124*b429 + 10788*b124*b430 + 1488*b124*b431 + 
    558*b124*b433 + 3906*b124*b434 + 16740*b124*b435 + 8742*b124*b436 + 4650*
    b124*b437 + 5580*b124*b438 + 7998*b124*b439 + 18042*b124*b440 + 6138*b124*
    b441 + 6510*b124*b442 + 6370*b124*b443 + 6230*b124*b444 + 5600*b124*b445 + 
    3150*b124*b446 + 2240*b124*b447 + 3220*b124*b448 + 4130*b124*b450 + 1330*
    b124*b451 + 4060*b124*b452 + 560*b124*b453 + 210*b124*b455 + 1470*b124*b456
     + 6300*b124*b457 + 3290*b124*b458 + 1750*b124*b459 + 2100*b124*b460 + 3010
    *b124*b461 + 6790*b124*b462 + 2310*b124*b463 + 2450*b124*b464 + 7462*b124*
    b465 + 7298*b124*b466 + 6560*b124*b467 + 3690*b124*b468 + 2624*b124*b469 + 
    3772*b124*b470 + 4838*b124*b472 + 1558*b124*b473 + 4756*b124*b474 + 656*
    b124*b475 + 246*b124*b477 + 1722*b124*b478 + 7380*b124*b479 + 3854*b124*
    b480 + 2050*b124*b481 + 2460*b124*b482 + 3526*b124*b483 + 7954*b124*b484 + 
    2706*b124*b485 + 2870*b124*b486 + 12194*b124*b487 + 11926*b124*b488 + 10720
    *b124*b489 + 6030*b124*b490 + 4288*b124*b491 + 6164*b124*b492 + 7906*b124*
    b494 + 2546*b124*b495 + 7772*b124*b496 + 1072*b124*b497 + 402*b124*b499 + 
    2814*b124*b500 + 12060*b124*b501 + 6298*b124*b502 + 3350*b124*b503 + 4020*
    b124*b504 + 5762*b124*b505 + 12998*b124*b506 + 4422*b124*b507 + 4690*b124*
    b508 + 2184*b124*b509 + 2136*b124*b510 + 1920*b124*b511 + 1080*b124*b512 + 
    768*b124*b513 + 1104*b124*b514 + 1416*b124*b516 + 456*b124*b517 + 1392*b124
    *b518 + 192*b124*b519 + 72*b124*b521 + 504*b124*b522 + 2160*b124*b523 + 
    1128*b124*b524 + 600*b124*b525 + 720*b124*b526 + 1032*b124*b527 + 2328*b124
    *b528 + 792*b124*b529 + 840*b124*b530 + 3256*b124*b531 + 3330*b124*b532 + 
    4514*b124*b533 + 7216*b124*b534 + 7380*b124*b535 + 10004*b124*b536 + 8008*
    b124*b537 + 8190*b124*b538 + 11102*b124*b539 + 88*b124*b540 + 90*b124*b541
     + 122*b124*b542 + 1936*b124*b546 + 1980*b124*b547 + 2684*b124*b548 + 6248*
    b124*b549 + 6390*b124*b550 + 8662*b124*b551 + 5104*b124*b552 + 5220*b124*
    b553 + 7076*b124*b554 + 3696*b124*b555 + 3780*b124*b556 + 5124*b124*b557 + 
    8008*b124*b558 + 8190*b124*b559 + 11102*b124*b560 + 4928*b124*b561 + 5040*
    b124*b562 + 6832*b124*b563 + 2376*b124*b564 + 2430*b124*b565 + 3294*b124*
    b566 + 4928*b124*b567 + 5040*b124*b568 + 6832*b124*b569 + 2464*b124*b570 + 
    2520*b124*b571 + 3416*b124*b572 + 5632*b124*b573 + 5760*b124*b574 + 7808*
    b124*b575 + 8624*b124*b576 + 8820*b124*b577 + 11956*b124*b578 + 6072*b124*
    b579 + 6210*b124*b580 + 8418*b124*b581 + 6072*b124*b582 + 6210*b124*b583 + 
    8418*b124*b584 + 8184*b124*b585 + 8370*b124*b586 + 11346*b124*b587 + 3080*
    b124*b588 + 3150*b124*b589 + 4270*b124*b590 + 3608*b124*b591 + 3690*b124*
    b592 + 5002*b124*b593 + 5896*b124*b594 + 6030*b124*b595 + 8174*b124*b596 + 
    1056*b124*b597 + 1080*b124*b598 + 1464*b124*b599 + 890*b124*b600 + 800*b124
    *b601 + 450*b124*b602 + 320*b124*b603 + 460*b124*b604 + 590*b124*b606 + 190
    *b124*b607 + 580*b124*b608 + 80*b124*b609 + 30*b124*b611 + 210*b124*b612 + 
    900*b124*b613 + 450*b124*b614 + 470*b124*b615 + 250*b124*b616 + 300*b124*
    b617 + 430*b124*b618 + 970*b124*b619 + 330*b124*b620 + 350*b124*b621 + 610*
    b124*b622 + 910*b124*b623 + 792*b124*b624 + 810*b124*b625 + 1098*b124*b626
     + 2596*b125*b135 + 3344*b125*b136 + 2552*b125*b137 + 2860*b125*b138 + 3828
    *b125*b139 + 572*b125*b140 + 2728*b125*b141 + 2156*b125*b142 + 3740*b125*
    b143 + 748*b125*b144 + 2244*b125*b145 + 132*b125*b146 + 1848*b125*b148 + 
    1584*b125*b149 + 308*b125*b150 + 3696*b125*b151 + 264*b125*b152 + 2112*b125
    *b155 + 2728*b125*b156 + 8378*b125*b157 + 10792*b125*b158 + 8236*b125*b159
     + 9230*b125*b160 + 12354*b125*b161 + 1846*b125*b162 + 8804*b125*b163 + 
    6958*b125*b164 + 12070*b125*b165 + 2414*b125*b166 + 7242*b125*b167 + 426*
    b125*b168 + 5964*b125*b170 + 5112*b125*b171 + 994*b125*b172 + 11928*b125*
    b173 + 852*b125*b174 + 6816*b125*b177 + 8804*b125*b178 + 6844*b125*b179 + 
    8816*b125*b180 + 6728*b125*b181 + 7540*b125*b182 + 10092*b125*b183 + 1508*
    b125*b184 + 7192*b125*b185 + 5684*b125*b186 + 9860*b125*b187 + 1972*b125*
    b188 + 5916*b125*b189 + 348*b125*b190 + 4872*b125*b192 + 4176*b125*b193 + 
    812*b125*b194 + 9744*b125*b195 + 696*b125*b196 + 5568*b125*b199 + 7192*b125
    *b200 + 4956*b125*b201 + 6384*b125*b202 + 4872*b125*b203 + 5460*b125*b204
     + 7308*b125*b205 + 1092*b125*b206 + 5208*b125*b207 + 4116*b125*b208 + 7140
    *b125*b209 + 1428*b125*b210 + 4284*b125*b211 + 252*b125*b212 + 3528*b125*
    b214 + 3024*b125*b215 + 588*b125*b216 + 7056*b125*b217 + 504*b125*b218 + 
    4032*b125*b221 + 5208*b125*b222 + 10738*b125*b223 + 13832*b125*b224 + 10556
    *b125*b225 + 11830*b125*b226 + 15834*b125*b227 + 2366*b125*b228 + 11284*
    b125*b229 + 8918*b125*b230 + 15470*b125*b231 + 3094*b125*b232 + 9282*b125*
    b233 + 546*b125*b234 + 7644*b125*b236 + 6552*b125*b237 + 1274*b125*b238 + 
    15288*b125*b239 + 1092*b125*b240 + 8736*b125*b243 + 11284*b125*b244 + 6608*
    b125*b245 + 8512*b125*b246 + 6496*b125*b247 + 7280*b125*b248 + 9744*b125*
    b249 + 1456*b125*b250 + 6944*b125*b251 + 5488*b125*b252 + 9520*b125*b253 + 
    1904*b125*b254 + 5712*b125*b255 + 336*b125*b256 + 4704*b125*b258 + 4032*
    b125*b259 + 784*b125*b260 + 9408*b125*b261 + 672*b125*b262 + 5376*b125*b265
     + 6944*b125*b266 + 3186*b125*b267 + 4104*b125*b268 + 3132*b125*b269 + 3510
    *b125*b270 + 4698*b125*b271 + 702*b125*b272 + 3348*b125*b273 + 2646*b125*
    b274 + 4590*b125*b275 + 918*b125*b276 + 2754*b125*b277 + 162*b125*b278 + 
    2268*b125*b280 + 1944*b125*b281 + 378*b125*b282 + 4536*b125*b283 + 324*b125
    *b284 + 2592*b125*b287 + 3348*b125*b288 + 6608*b125*b289 + 8512*b125*b290
     + 6496*b125*b291 + 7280*b125*b292 + 9744*b125*b293 + 1456*b125*b294 + 6944
    *b125*b295 + 5488*b125*b296 + 9520*b125*b297 + 1904*b125*b298 + 5712*b125*
    b299 + 336*b125*b300 + 4704*b125*b302 + 4032*b125*b303 + 784*b125*b304 + 
    9408*b125*b305 + 672*b125*b306 + 5376*b125*b309 + 6944*b125*b310 + 3304*
    b125*b311 + 4256*b125*b312 + 3248*b125*b313 + 3640*b125*b314 + 4872*b125*
    b315 + 728*b125*b316 + 3472*b125*b317 + 2744*b125*b318 + 4760*b125*b319 + 
    952*b125*b320 + 2856*b125*b321 + 168*b125*b322 + 2352*b125*b324 + 2016*b125
    *b325 + 392*b125*b326 + 4704*b125*b327 + 336*b125*b328 + 2688*b125*b331 + 
    3472*b125*b332 + 7552*b125*b333 + 9728*b125*b334 + 7424*b125*b335 + 8320*
    b125*b336 + 11136*b125*b337 + 1664*b125*b338 + 7936*b125*b339 + 6272*b125*
    b340 + 10880*b125*b341 + 2176*b125*b342 + 6528*b125*b343 + 384*b125*b344 + 
    5376*b125*b346 + 4608*b125*b347 + 896*b125*b348 + 10752*b125*b349 + 768*
    b125*b350 + 6144*b125*b353 + 7936*b125*b354 + 11564*b125*b355 + 14896*b125*
    b356 + 11368*b125*b357 + 12740*b125*b358 + 17052*b125*b359 + 2548*b125*b360
     + 12152*b125*b361 + 9604*b125*b362 + 16660*b125*b363 + 3332*b125*b364 + 
    9996*b125*b365 + 588*b125*b366 + 8232*b125*b368 + 7056*b125*b369 + 1372*
    b125*b370 + 16464*b125*b371 + 1176*b125*b372 + 9408*b125*b375 + 12152*b125*
    b376 + 8142*b125*b377 + 10488*b125*b378 + 8004*b125*b379 + 8970*b125*b380
     + 12006*b125*b381 + 1794*b125*b382 + 8556*b125*b383 + 6762*b125*b384 + 
    11730*b125*b385 + 2346*b125*b386 + 7038*b125*b387 + 414*b125*b388 + 5796*
    b125*b390 + 4968*b125*b391 + 966*b125*b392 + 11592*b125*b393 + 828*b125*
    b394 + 6624*b125*b397 + 8556*b125*b398 + 8142*b125*b399 + 10488*b125*b400
     + 8004*b125*b401 + 8970*b125*b402 + 12006*b125*b403 + 1794*b125*b404 + 
    8556*b125*b405 + 6762*b125*b406 + 11730*b125*b407 + 2346*b125*b408 + 7038*
    b125*b409 + 414*b125*b410 + 5796*b125*b412 + 4968*b125*b413 + 966*b125*b414
     + 11592*b125*b415 + 828*b125*b416 + 6624*b125*b419 + 8556*b125*b420 + 
    10974*b125*b421 + 14136*b125*b422 + 10788*b125*b423 + 12090*b125*b424 + 
    16182*b125*b425 + 2418*b125*b426 + 11532*b125*b427 + 9114*b125*b428 + 15810
    *b125*b429 + 3162*b125*b430 + 9486*b125*b431 + 558*b125*b432 + 7812*b125*
    b434 + 6696*b125*b435 + 1302*b125*b436 + 15624*b125*b437 + 1116*b125*b438
     + 8928*b125*b441 + 11532*b125*b442 + 4130*b125*b443 + 5320*b125*b444 + 
    4060*b125*b445 + 4550*b125*b446 + 6090*b125*b447 + 910*b125*b448 + 4340*
    b125*b449 + 3430*b125*b450 + 5950*b125*b451 + 1190*b125*b452 + 3570*b125*
    b453 + 210*b125*b454 + 2940*b125*b456 + 2520*b125*b457 + 490*b125*b458 + 
    5880*b125*b459 + 420*b125*b460 + 3360*b125*b463 + 4340*b125*b464 + 4838*
    b125*b465 + 6232*b125*b466 + 4756*b125*b467 + 5330*b125*b468 + 7134*b125*
    b469 + 1066*b125*b470 + 5084*b125*b471 + 4018*b125*b472 + 6970*b125*b473 + 
    1394*b125*b474 + 4182*b125*b475 + 246*b125*b476 + 3444*b125*b478 + 2952*
    b125*b479 + 574*b125*b480 + 6888*b125*b481 + 492*b125*b482 + 3936*b125*b485
     + 5084*b125*b486 + 7906*b125*b487 + 10184*b125*b488 + 7772*b125*b489 + 
    8710*b125*b490 + 11658*b125*b491 + 1742*b125*b492 + 8308*b125*b493 + 6566*
    b125*b494 + 11390*b125*b495 + 2278*b125*b496 + 6834*b125*b497 + 402*b125*
    b498 + 5628*b125*b500 + 4824*b125*b501 + 938*b125*b502 + 11256*b125*b503 + 
    804*b125*b504 + 6432*b125*b507 + 8308*b125*b508 + 1416*b125*b509 + 1824*
    b125*b510 + 1392*b125*b511 + 1560*b125*b512 + 2088*b125*b513 + 312*b125*
    b514 + 1488*b125*b515 + 1176*b125*b516 + 2040*b125*b517 + 408*b125*b518 + 
    1224*b125*b519 + 72*b125*b520 + 1008*b125*b522 + 864*b125*b523 + 168*b125*
    b524 + 2016*b125*b525 + 144*b125*b526 + 1152*b125*b529 + 1488*b125*b530 + 
    2960*b125*b531 + 3182*b125*b532 + 4366*b125*b533 + 6560*b125*b534 + 7052*
    b125*b535 + 9676*b125*b536 + 7280*b125*b537 + 7826*b125*b538 + 10738*b125*
    b539 + 80*b125*b540 + 86*b125*b541 + 118*b125*b542 + 1760*b125*b546 + 1892*
    b125*b547 + 2596*b125*b548 + 5680*b125*b549 + 6106*b125*b550 + 8378*b125*
    b551 + 4640*b125*b552 + 4988*b125*b553 + 6844*b125*b554 + 3360*b125*b555 + 
    3612*b125*b556 + 4956*b125*b557 + 7280*b125*b558 + 7826*b125*b559 + 10738*
    b125*b560 + 4480*b125*b561 + 4816*b125*b562 + 6608*b125*b563 + 2160*b125*
    b564 + 2322*b125*b565 + 3186*b125*b566 + 4480*b125*b567 + 4816*b125*b568 + 
    6608*b125*b569 + 2240*b125*b570 + 2408*b125*b571 + 3304*b125*b572 + 5120*
    b125*b573 + 5504*b125*b574 + 7552*b125*b575 + 7840*b125*b576 + 8428*b125*
    b577 + 11564*b125*b578 + 5520*b125*b579 + 5934*b125*b580 + 8142*b125*b581
     + 5520*b125*b582 + 5934*b125*b583 + 8142*b125*b584 + 7440*b125*b585 + 7998
    *b125*b586 + 10974*b125*b587 + 2800*b125*b588 + 3010*b125*b589 + 4130*b125*
    b590 + 3280*b125*b591 + 3526*b125*b592 + 4838*b125*b593 + 5360*b125*b594 + 
    5762*b125*b595 + 7906*b125*b596 + 960*b125*b597 + 1032*b125*b598 + 1416*
    b125*b599 + 760*b125*b600 + 580*b125*b601 + 650*b125*b602 + 870*b125*b603
     + 130*b125*b604 + 620*b125*b605 + 490*b125*b606 + 850*b125*b607 + 170*b125
    *b608 + 510*b125*b609 + 30*b125*b610 + 420*b125*b612 + 360*b125*b613 + 430*
    b125*b614 + 70*b125*b615 + 840*b125*b616 + 60*b125*b617 + 480*b125*b620 + 
    620*b125*b621 + 590*b125*b622 + 590*b125*b623 + 720*b125*b624 + 774*b125*
    b625 + 1062*b125*b626 + 792*b126*b135 + 3344*b126*b136 + 924*b126*b137 + 
    1760*b126*b138 + 2948*b126*b139 + 880*b126*b140 + 1804*b126*b141 + 3740*
    b126*b142 + 2288*b126*b143 + 2992*b126*b144 + 44*b126*b145 + 924*b126*b146
     + 1848*b126*b147 + 1276*b126*b149 + 3608*b126*b150 + 1276*b126*b151 + 132*
    b126*b152 + 132*b126*b153 + 2244*b126*b154 + 2948*b126*b155 + 1716*b126*
    b156 + 2556*b126*b157 + 10792*b126*b158 + 2982*b126*b159 + 5680*b126*b160
     + 9514*b126*b161 + 2840*b126*b162 + 5822*b126*b163 + 12070*b126*b164 + 
    7384*b126*b165 + 9656*b126*b166 + 142*b126*b167 + 2982*b126*b168 + 5964*
    b126*b169 + 4118*b126*b171 + 11644*b126*b172 + 4118*b126*b173 + 426*b126*
    b174 + 426*b126*b175 + 7242*b126*b176 + 9514*b126*b177 + 5538*b126*b178 + 
    2088*b126*b179 + 8816*b126*b180 + 2436*b126*b181 + 4640*b126*b182 + 7772*
    b126*b183 + 2320*b126*b184 + 4756*b126*b185 + 9860*b126*b186 + 6032*b126*
    b187 + 7888*b126*b188 + 116*b126*b189 + 2436*b126*b190 + 4872*b126*b191 + 
    3364*b126*b193 + 9512*b126*b194 + 3364*b126*b195 + 348*b126*b196 + 348*b126
    *b197 + 5916*b126*b198 + 7772*b126*b199 + 4524*b126*b200 + 1512*b126*b201
     + 6384*b126*b202 + 1764*b126*b203 + 3360*b126*b204 + 5628*b126*b205 + 1680
    *b126*b206 + 3444*b126*b207 + 7140*b126*b208 + 4368*b126*b209 + 5712*b126*
    b210 + 84*b126*b211 + 1764*b126*b212 + 3528*b126*b213 + 2436*b126*b215 + 
    6888*b126*b216 + 2436*b126*b217 + 252*b126*b218 + 252*b126*b219 + 4284*b126
    *b220 + 5628*b126*b221 + 3276*b126*b222 + 3276*b126*b223 + 13832*b126*b224
     + 3822*b126*b225 + 7280*b126*b226 + 12194*b126*b227 + 3640*b126*b228 + 
    7462*b126*b229 + 15470*b126*b230 + 9464*b126*b231 + 12376*b126*b232 + 182*
    b126*b233 + 3822*b126*b234 + 7644*b126*b235 + 5278*b126*b237 + 14924*b126*
    b238 + 5278*b126*b239 + 546*b126*b240 + 546*b126*b241 + 9282*b126*b242 + 
    12194*b126*b243 + 7098*b126*b244 + 2016*b126*b245 + 8512*b126*b246 + 2352*
    b126*b247 + 4480*b126*b248 + 7504*b126*b249 + 2240*b126*b250 + 4592*b126*
    b251 + 9520*b126*b252 + 5824*b126*b253 + 7616*b126*b254 + 112*b126*b255 + 
    2352*b126*b256 + 4704*b126*b257 + 3248*b126*b259 + 9184*b126*b260 + 3248*
    b126*b261 + 336*b126*b262 + 336*b126*b263 + 5712*b126*b264 + 7504*b126*b265
     + 4368*b126*b266 + 972*b126*b267 + 4104*b126*b268 + 1134*b126*b269 + 2160*
    b126*b270 + 3618*b126*b271 + 1080*b126*b272 + 2214*b126*b273 + 4590*b126*
    b274 + 2808*b126*b275 + 3672*b126*b276 + 54*b126*b277 + 1134*b126*b278 + 
    2268*b126*b279 + 1566*b126*b281 + 4428*b126*b282 + 1566*b126*b283 + 162*
    b126*b284 + 162*b126*b285 + 2754*b126*b286 + 3618*b126*b287 + 2106*b126*
    b288 + 2016*b126*b289 + 8512*b126*b290 + 2352*b126*b291 + 4480*b126*b292 + 
    7504*b126*b293 + 2240*b126*b294 + 4592*b126*b295 + 9520*b126*b296 + 5824*
    b126*b297 + 7616*b126*b298 + 112*b126*b299 + 2352*b126*b300 + 4704*b126*
    b301 + 3248*b126*b303 + 9184*b126*b304 + 3248*b126*b305 + 336*b126*b306 + 
    336*b126*b307 + 5712*b126*b308 + 7504*b126*b309 + 4368*b126*b310 + 1008*
    b126*b311 + 4256*b126*b312 + 1176*b126*b313 + 2240*b126*b314 + 3752*b126*
    b315 + 1120*b126*b316 + 2296*b126*b317 + 4760*b126*b318 + 2912*b126*b319 + 
    3808*b126*b320 + 56*b126*b321 + 1176*b126*b322 + 2352*b126*b323 + 1624*b126
    *b325 + 4592*b126*b326 + 1624*b126*b327 + 168*b126*b328 + 168*b126*b329 + 
    2856*b126*b330 + 3752*b126*b331 + 2184*b126*b332 + 2304*b126*b333 + 9728*
    b126*b334 + 2688*b126*b335 + 5120*b126*b336 + 8576*b126*b337 + 2560*b126*
    b338 + 5248*b126*b339 + 10880*b126*b340 + 6656*b126*b341 + 8704*b126*b342
     + 128*b126*b343 + 2688*b126*b344 + 5376*b126*b345 + 3712*b126*b347 + 10496
    *b126*b348 + 3712*b126*b349 + 384*b126*b350 + 384*b126*b351 + 6528*b126*
    b352 + 8576*b126*b353 + 4992*b126*b354 + 3528*b126*b355 + 14896*b126*b356
     + 4116*b126*b357 + 7840*b126*b358 + 13132*b126*b359 + 3920*b126*b360 + 
    8036*b126*b361 + 16660*b126*b362 + 10192*b126*b363 + 13328*b126*b364 + 196*
    b126*b365 + 4116*b126*b366 + 8232*b126*b367 + 5684*b126*b369 + 16072*b126*
    b370 + 5684*b126*b371 + 588*b126*b372 + 588*b126*b373 + 9996*b126*b374 + 
    13132*b126*b375 + 7644*b126*b376 + 2484*b126*b377 + 10488*b126*b378 + 2898*
    b126*b379 + 5520*b126*b380 + 9246*b126*b381 + 2760*b126*b382 + 5658*b126*
    b383 + 11730*b126*b384 + 7176*b126*b385 + 9384*b126*b386 + 138*b126*b387 + 
    2898*b126*b388 + 5796*b126*b389 + 4002*b126*b391 + 11316*b126*b392 + 4002*
    b126*b393 + 414*b126*b394 + 414*b126*b395 + 7038*b126*b396 + 9246*b126*b397
     + 5382*b126*b398 + 2484*b126*b399 + 10488*b126*b400 + 2898*b126*b401 + 
    5520*b126*b402 + 9246*b126*b403 + 2760*b126*b404 + 5658*b126*b405 + 11730*
    b126*b406 + 7176*b126*b407 + 9384*b126*b408 + 138*b126*b409 + 2898*b126*
    b410 + 5796*b126*b411 + 4002*b126*b413 + 11316*b126*b414 + 4002*b126*b415
     + 414*b126*b416 + 414*b126*b417 + 7038*b126*b418 + 9246*b126*b419 + 5382*
    b126*b420 + 3348*b126*b421 + 14136*b126*b422 + 3906*b126*b423 + 7440*b126*
    b424 + 12462*b126*b425 + 3720*b126*b426 + 7626*b126*b427 + 15810*b126*b428
     + 9672*b126*b429 + 12648*b126*b430 + 186*b126*b431 + 3906*b126*b432 + 7812
    *b126*b433 + 5394*b126*b435 + 15252*b126*b436 + 5394*b126*b437 + 558*b126*
    b438 + 558*b126*b439 + 9486*b126*b440 + 12462*b126*b441 + 7254*b126*b442 + 
    1260*b126*b443 + 5320*b126*b444 + 1470*b126*b445 + 2800*b126*b446 + 4690*
    b126*b447 + 1400*b126*b448 + 2870*b126*b449 + 5950*b126*b450 + 3640*b126*
    b451 + 4760*b126*b452 + 70*b126*b453 + 1470*b126*b454 + 2940*b126*b455 + 
    2030*b126*b457 + 5740*b126*b458 + 2030*b126*b459 + 210*b126*b460 + 210*b126
    *b461 + 3570*b126*b462 + 4690*b126*b463 + 2730*b126*b464 + 1476*b126*b465
     + 6232*b126*b466 + 1722*b126*b467 + 3280*b126*b468 + 5494*b126*b469 + 1640
    *b126*b470 + 3362*b126*b471 + 6970*b126*b472 + 4264*b126*b473 + 5576*b126*
    b474 + 82*b126*b475 + 1722*b126*b476 + 3444*b126*b477 + 2378*b126*b479 + 
    6724*b126*b480 + 2378*b126*b481 + 246*b126*b482 + 246*b126*b483 + 4182*b126
    *b484 + 5494*b126*b485 + 3198*b126*b486 + 2412*b126*b487 + 10184*b126*b488
     + 2814*b126*b489 + 5360*b126*b490 + 8978*b126*b491 + 2680*b126*b492 + 5494
    *b126*b493 + 11390*b126*b494 + 6968*b126*b495 + 9112*b126*b496 + 134*b126*
    b497 + 2814*b126*b498 + 5628*b126*b499 + 3886*b126*b501 + 10988*b126*b502
     + 3886*b126*b503 + 402*b126*b504 + 402*b126*b505 + 6834*b126*b506 + 8978*
    b126*b507 + 5226*b126*b508 + 432*b126*b509 + 1824*b126*b510 + 504*b126*b511
     + 960*b126*b512 + 1608*b126*b513 + 480*b126*b514 + 984*b126*b515 + 2040*
    b126*b516 + 1248*b126*b517 + 1632*b126*b518 + 24*b126*b519 + 504*b126*b520
     + 1008*b126*b521 + 696*b126*b523 + 1968*b126*b524 + 696*b126*b525 + 72*
    b126*b526 + 72*b126*b527 + 1224*b126*b528 + 1608*b126*b529 + 936*b126*b530
     + 5550*b126*b531 + 6956*b126*b532 + 1110*b126*b533 + 12300*b126*b534 + 
    15416*b126*b535 + 2460*b126*b536 + 13650*b126*b537 + 17108*b126*b538 + 2730
    *b126*b539 + 150*b126*b540 + 188*b126*b541 + 30*b126*b542 + 3300*b126*b546
     + 4136*b126*b547 + 660*b126*b548 + 10650*b126*b549 + 13348*b126*b550 + 
    2130*b126*b551 + 8700*b126*b552 + 10904*b126*b553 + 1740*b126*b554 + 6300*
    b126*b555 + 7896*b126*b556 + 1260*b126*b557 + 13650*b126*b558 + 17108*b126*
    b559 + 2730*b126*b560 + 8400*b126*b561 + 10528*b126*b562 + 1680*b126*b563
     + 4050*b126*b564 + 5076*b126*b565 + 810*b126*b566 + 8400*b126*b567 + 10528
    *b126*b568 + 1680*b126*b569 + 4200*b126*b570 + 5264*b126*b571 + 840*b126*
    b572 + 9600*b126*b573 + 12032*b126*b574 + 1920*b126*b575 + 14700*b126*b576
     + 18424*b126*b577 + 2940*b126*b578 + 10350*b126*b579 + 12972*b126*b580 + 
    2070*b126*b581 + 10350*b126*b582 + 12972*b126*b583 + 2070*b126*b584 + 13950
    *b126*b585 + 17484*b126*b586 + 2790*b126*b587 + 5250*b126*b588 + 6580*b126*
    b589 + 1050*b126*b590 + 6150*b126*b591 + 7708*b126*b592 + 1230*b126*b593 + 
    10050*b126*b594 + 12596*b126*b595 + 2010*b126*b596 + 1800*b126*b597 + 2256*
    b126*b598 + 360*b126*b599 + 760*b126*b600 + 210*b126*b601 + 400*b126*b602
     + 670*b126*b603 + 200*b126*b604 + 410*b126*b605 + 850*b126*b606 + 520*b126
    *b607 + 680*b126*b608 + 10*b126*b609 + 210*b126*b610 + 420*b126*b611 + 290*
    b126*b613 + 940*b126*b614 + 820*b126*b615 + 290*b126*b616 + 30*b126*b617 + 
    30*b126*b618 + 510*b126*b619 + 670*b126*b620 + 390*b126*b621 + 150*b126*
    b622 + 180*b126*b623 + 1350*b126*b624 + 1692*b126*b625 + 270*b126*b626 + 
    3344*b127*b135 + 1760*b127*b136 + 3344*b127*b137 + 2376*b127*b138 + 4136*
    b127*b139 + 3784*b127*b140 + 2728*b127*b141 + 3696*b127*b142 + 1496*b127*
    b143 + 1188*b127*b144 + 4004*b127*b145 + 3960*b127*b146 + 1584*b127*b147 + 
    1276*b127*b148 + 1848*b127*b150 + 1012*b127*b151 + 2728*b127*b152 + 2728*
    b127*b153 + 1232*b127*b154 + 3344*b127*b155 + 2904*b127*b156 + 10792*b127*
    b157 + 5680*b127*b158 + 10792*b127*b159 + 7668*b127*b160 + 13348*b127*b161
     + 12212*b127*b162 + 8804*b127*b163 + 11928*b127*b164 + 4828*b127*b165 + 
    3834*b127*b166 + 12922*b127*b167 + 12780*b127*b168 + 5112*b127*b169 + 4118*
    b127*b170 + 5964*b127*b172 + 3266*b127*b173 + 8804*b127*b174 + 8804*b127*
    b175 + 3976*b127*b176 + 10792*b127*b177 + 9372*b127*b178 + 8816*b127*b179
     + 4640*b127*b180 + 8816*b127*b181 + 6264*b127*b182 + 10904*b127*b183 + 
    9976*b127*b184 + 7192*b127*b185 + 9744*b127*b186 + 3944*b127*b187 + 3132*
    b127*b188 + 10556*b127*b189 + 10440*b127*b190 + 4176*b127*b191 + 3364*b127*
    b192 + 4872*b127*b194 + 2668*b127*b195 + 7192*b127*b196 + 7192*b127*b197 + 
    3248*b127*b198 + 8816*b127*b199 + 7656*b127*b200 + 6384*b127*b201 + 3360*
    b127*b202 + 6384*b127*b203 + 4536*b127*b204 + 7896*b127*b205 + 7224*b127*
    b206 + 5208*b127*b207 + 7056*b127*b208 + 2856*b127*b209 + 2268*b127*b210 + 
    7644*b127*b211 + 7560*b127*b212 + 3024*b127*b213 + 2436*b127*b214 + 3528*
    b127*b216 + 1932*b127*b217 + 5208*b127*b218 + 5208*b127*b219 + 2352*b127*
    b220 + 6384*b127*b221 + 5544*b127*b222 + 13832*b127*b223 + 7280*b127*b224
     + 13832*b127*b225 + 9828*b127*b226 + 17108*b127*b227 + 15652*b127*b228 + 
    11284*b127*b229 + 15288*b127*b230 + 6188*b127*b231 + 4914*b127*b232 + 16562
    *b127*b233 + 16380*b127*b234 + 6552*b127*b235 + 5278*b127*b236 + 7644*b127*
    b238 + 4186*b127*b239 + 11284*b127*b240 + 11284*b127*b241 + 5096*b127*b242
     + 13832*b127*b243 + 12012*b127*b244 + 8512*b127*b245 + 4480*b127*b246 + 
    8512*b127*b247 + 6048*b127*b248 + 10528*b127*b249 + 9632*b127*b250 + 6944*
    b127*b251 + 9408*b127*b252 + 3808*b127*b253 + 3024*b127*b254 + 10192*b127*
    b255 + 10080*b127*b256 + 4032*b127*b257 + 3248*b127*b258 + 4704*b127*b260
     + 2576*b127*b261 + 6944*b127*b262 + 6944*b127*b263 + 3136*b127*b264 + 8512
    *b127*b265 + 7392*b127*b266 + 4104*b127*b267 + 2160*b127*b268 + 4104*b127*
    b269 + 2916*b127*b270 + 5076*b127*b271 + 4644*b127*b272 + 3348*b127*b273 + 
    4536*b127*b274 + 1836*b127*b275 + 1458*b127*b276 + 4914*b127*b277 + 4860*
    b127*b278 + 1944*b127*b279 + 1566*b127*b280 + 2268*b127*b282 + 1242*b127*
    b283 + 3348*b127*b284 + 3348*b127*b285 + 1512*b127*b286 + 4104*b127*b287 + 
    3564*b127*b288 + 8512*b127*b289 + 4480*b127*b290 + 8512*b127*b291 + 6048*
    b127*b292 + 10528*b127*b293 + 9632*b127*b294 + 6944*b127*b295 + 9408*b127*
    b296 + 3808*b127*b297 + 3024*b127*b298 + 10192*b127*b299 + 10080*b127*b300
     + 4032*b127*b301 + 3248*b127*b302 + 4704*b127*b304 + 2576*b127*b305 + 6944
    *b127*b306 + 6944*b127*b307 + 3136*b127*b308 + 8512*b127*b309 + 7392*b127*
    b310 + 4256*b127*b311 + 2240*b127*b312 + 4256*b127*b313 + 3024*b127*b314 + 
    5264*b127*b315 + 4816*b127*b316 + 3472*b127*b317 + 4704*b127*b318 + 1904*
    b127*b319 + 1512*b127*b320 + 5096*b127*b321 + 5040*b127*b322 + 2016*b127*
    b323 + 1624*b127*b324 + 2352*b127*b326 + 1288*b127*b327 + 3472*b127*b328 + 
    3472*b127*b329 + 1568*b127*b330 + 4256*b127*b331 + 3696*b127*b332 + 9728*
    b127*b333 + 5120*b127*b334 + 9728*b127*b335 + 6912*b127*b336 + 12032*b127*
    b337 + 11008*b127*b338 + 7936*b127*b339 + 10752*b127*b340 + 4352*b127*b341
     + 3456*b127*b342 + 11648*b127*b343 + 11520*b127*b344 + 4608*b127*b345 + 
    3712*b127*b346 + 5376*b127*b348 + 2944*b127*b349 + 7936*b127*b350 + 7936*
    b127*b351 + 3584*b127*b352 + 9728*b127*b353 + 8448*b127*b354 + 14896*b127*
    b355 + 7840*b127*b356 + 14896*b127*b357 + 10584*b127*b358 + 18424*b127*b359
     + 16856*b127*b360 + 12152*b127*b361 + 16464*b127*b362 + 6664*b127*b363 + 
    5292*b127*b364 + 17836*b127*b365 + 17640*b127*b366 + 7056*b127*b367 + 5684*
    b127*b368 + 8232*b127*b370 + 4508*b127*b371 + 12152*b127*b372 + 12152*b127*
    b373 + 5488*b127*b374 + 14896*b127*b375 + 12936*b127*b376 + 10488*b127*b377
     + 5520*b127*b378 + 10488*b127*b379 + 7452*b127*b380 + 12972*b127*b381 + 
    11868*b127*b382 + 8556*b127*b383 + 11592*b127*b384 + 4692*b127*b385 + 3726*
    b127*b386 + 12558*b127*b387 + 12420*b127*b388 + 4968*b127*b389 + 4002*b127*
    b390 + 5796*b127*b392 + 3174*b127*b393 + 8556*b127*b394 + 8556*b127*b395 + 
    3864*b127*b396 + 10488*b127*b397 + 9108*b127*b398 + 10488*b127*b399 + 5520*
    b127*b400 + 10488*b127*b401 + 7452*b127*b402 + 12972*b127*b403 + 11868*b127
    *b404 + 8556*b127*b405 + 11592*b127*b406 + 4692*b127*b407 + 3726*b127*b408
     + 12558*b127*b409 + 12420*b127*b410 + 4968*b127*b411 + 4002*b127*b412 + 
    5796*b127*b414 + 3174*b127*b415 + 8556*b127*b416 + 8556*b127*b417 + 3864*
    b127*b418 + 10488*b127*b419 + 9108*b127*b420 + 14136*b127*b421 + 7440*b127*
    b422 + 14136*b127*b423 + 10044*b127*b424 + 17484*b127*b425 + 15996*b127*
    b426 + 11532*b127*b427 + 15624*b127*b428 + 6324*b127*b429 + 5022*b127*b430
     + 16926*b127*b431 + 16740*b127*b432 + 6696*b127*b433 + 5394*b127*b434 + 
    7812*b127*b436 + 4278*b127*b437 + 11532*b127*b438 + 11532*b127*b439 + 5208*
    b127*b440 + 14136*b127*b441 + 12276*b127*b442 + 5320*b127*b443 + 2800*b127*
    b444 + 5320*b127*b445 + 3780*b127*b446 + 6580*b127*b447 + 6020*b127*b448 + 
    4340*b127*b449 + 5880*b127*b450 + 2380*b127*b451 + 1890*b127*b452 + 6370*
    b127*b453 + 6300*b127*b454 + 2520*b127*b455 + 2030*b127*b456 + 2940*b127*
    b458 + 1610*b127*b459 + 4340*b127*b460 + 4340*b127*b461 + 1960*b127*b462 + 
    5320*b127*b463 + 4620*b127*b464 + 6232*b127*b465 + 3280*b127*b466 + 6232*
    b127*b467 + 4428*b127*b468 + 7708*b127*b469 + 7052*b127*b470 + 5084*b127*
    b471 + 6888*b127*b472 + 2788*b127*b473 + 2214*b127*b474 + 7462*b127*b475 + 
    7380*b127*b476 + 2952*b127*b477 + 2378*b127*b478 + 3444*b127*b480 + 1886*
    b127*b481 + 5084*b127*b482 + 5084*b127*b483 + 2296*b127*b484 + 6232*b127*
    b485 + 5412*b127*b486 + 10184*b127*b487 + 5360*b127*b488 + 10184*b127*b489
     + 7236*b127*b490 + 12596*b127*b491 + 11524*b127*b492 + 8308*b127*b493 + 
    11256*b127*b494 + 4556*b127*b495 + 3618*b127*b496 + 12194*b127*b497 + 12060
    *b127*b498 + 4824*b127*b499 + 3886*b127*b500 + 5628*b127*b502 + 3082*b127*
    b503 + 8308*b127*b504 + 8308*b127*b505 + 3752*b127*b506 + 10184*b127*b507
     + 8844*b127*b508 + 1824*b127*b509 + 960*b127*b510 + 1824*b127*b511 + 1296*
    b127*b512 + 2256*b127*b513 + 2064*b127*b514 + 1488*b127*b515 + 2016*b127*
    b516 + 816*b127*b517 + 648*b127*b518 + 2184*b127*b519 + 2160*b127*b520 + 
    864*b127*b521 + 696*b127*b522 + 1008*b127*b524 + 552*b127*b525 + 1488*b127*
    b526 + 1488*b127*b527 + 672*b127*b528 + 1824*b127*b529 + 1584*b127*b530 + 
    5846*b127*b531 + 4884*b127*b532 + 6068*b127*b533 + 12956*b127*b534 + 10824*
    b127*b535 + 13448*b127*b536 + 14378*b127*b537 + 12012*b127*b538 + 14924*
    b127*b539 + 158*b127*b540 + 132*b127*b541 + 164*b127*b542 + 3476*b127*b546
     + 2904*b127*b547 + 3608*b127*b548 + 11218*b127*b549 + 9372*b127*b550 + 
    11644*b127*b551 + 9164*b127*b552 + 7656*b127*b553 + 9512*b127*b554 + 6636*
    b127*b555 + 5544*b127*b556 + 6888*b127*b557 + 14378*b127*b558 + 12012*b127*
    b559 + 14924*b127*b560 + 8848*b127*b561 + 7392*b127*b562 + 9184*b127*b563
     + 4266*b127*b564 + 3564*b127*b565 + 4428*b127*b566 + 8848*b127*b567 + 7392
    *b127*b568 + 9184*b127*b569 + 4424*b127*b570 + 3696*b127*b571 + 4592*b127*
    b572 + 10112*b127*b573 + 8448*b127*b574 + 10496*b127*b575 + 15484*b127*b576
     + 12936*b127*b577 + 16072*b127*b578 + 10902*b127*b579 + 9108*b127*b580 + 
    11316*b127*b581 + 10902*b127*b582 + 9108*b127*b583 + 11316*b127*b584 + 
    14694*b127*b585 + 12276*b127*b586 + 15252*b127*b587 + 5530*b127*b588 + 4620
    *b127*b589 + 5740*b127*b590 + 6478*b127*b591 + 5412*b127*b592 + 6724*b127*
    b593 + 10586*b127*b594 + 8844*b127*b595 + 10988*b127*b596 + 1896*b127*b597
     + 1584*b127*b598 + 1968*b127*b599 + 400*b127*b600 + 760*b127*b601 + 540*
    b127*b602 + 940*b127*b603 + 860*b127*b604 + 620*b127*b605 + 840*b127*b606
     + 340*b127*b607 + 270*b127*b608 + 910*b127*b609 + 900*b127*b610 + 360*b127
    *b611 + 290*b127*b612 + 660*b127*b614 + 420*b127*b615 + 230*b127*b616 + 620
    *b127*b617 + 620*b127*b618 + 280*b127*b619 + 760*b127*b620 + 660*b127*b621
     + 820*b127*b622 + 760*b127*b623 + 1422*b127*b624 + 1188*b127*b625 + 1476*
    b127*b626 + 792*b128*b135 + 2464*b128*b136 + 1936*b128*b137 + 616*b128*b138
     + 88*b128*b139 + 3388*b128*b140 + 1100*b128*b141 + 1672*b128*b142 + 1760*
    b128*b143 + 264*b128*b144 + 3828*b128*b145 + 2068*b128*b146 + 308*b128*b147
     + 3608*b128*b148 + 1848*b128*b149 + 3784*b128*b151 + 2640*b128*b152 + 2728
    *b128*b153 + 2728*b128*b154 + 3652*b128*b155 + 4004*b128*b156 + 2556*b128*
    b157 + 7952*b128*b158 + 6248*b128*b159 + 1988*b128*b160 + 284*b128*b161 + 
    10934*b128*b162 + 3550*b128*b163 + 5396*b128*b164 + 5680*b128*b165 + 852*
    b128*b166 + 12354*b128*b167 + 6674*b128*b168 + 994*b128*b169 + 11644*b128*
    b170 + 5964*b128*b171 + 12212*b128*b173 + 8520*b128*b174 + 8804*b128*b175
     + 8804*b128*b176 + 11786*b128*b177 + 12922*b128*b178 + 2088*b128*b179 + 
    6496*b128*b180 + 5104*b128*b181 + 1624*b128*b182 + 232*b128*b183 + 8932*
    b128*b184 + 2900*b128*b185 + 4408*b128*b186 + 4640*b128*b187 + 696*b128*
    b188 + 10092*b128*b189 + 5452*b128*b190 + 812*b128*b191 + 9512*b128*b192 + 
    4872*b128*b193 + 9976*b128*b195 + 6960*b128*b196 + 7192*b128*b197 + 7192*
    b128*b198 + 9628*b128*b199 + 10556*b128*b200 + 1512*b128*b201 + 4704*b128*
    b202 + 3696*b128*b203 + 1176*b128*b204 + 168*b128*b205 + 6468*b128*b206 + 
    2100*b128*b207 + 3192*b128*b208 + 3360*b128*b209 + 504*b128*b210 + 7308*
    b128*b211 + 3948*b128*b212 + 588*b128*b213 + 6888*b128*b214 + 3528*b128*
    b215 + 7224*b128*b217 + 5040*b128*b218 + 5208*b128*b219 + 5208*b128*b220 + 
    6972*b128*b221 + 7644*b128*b222 + 3276*b128*b223 + 10192*b128*b224 + 8008*
    b128*b225 + 2548*b128*b226 + 364*b128*b227 + 14014*b128*b228 + 4550*b128*
    b229 + 6916*b128*b230 + 7280*b128*b231 + 1092*b128*b232 + 15834*b128*b233
     + 8554*b128*b234 + 1274*b128*b235 + 14924*b128*b236 + 7644*b128*b237 + 
    15652*b128*b239 + 10920*b128*b240 + 11284*b128*b241 + 11284*b128*b242 + 
    15106*b128*b243 + 16562*b128*b244 + 2016*b128*b245 + 6272*b128*b246 + 4928*
    b128*b247 + 1568*b128*b248 + 224*b128*b249 + 8624*b128*b250 + 2800*b128*
    b251 + 4256*b128*b252 + 4480*b128*b253 + 672*b128*b254 + 9744*b128*b255 + 
    5264*b128*b256 + 784*b128*b257 + 9184*b128*b258 + 4704*b128*b259 + 9632*
    b128*b261 + 6720*b128*b262 + 6944*b128*b263 + 6944*b128*b264 + 9296*b128*
    b265 + 10192*b128*b266 + 972*b128*b267 + 3024*b128*b268 + 2376*b128*b269 + 
    756*b128*b270 + 108*b128*b271 + 4158*b128*b272 + 1350*b128*b273 + 2052*b128
    *b274 + 2160*b128*b275 + 324*b128*b276 + 4698*b128*b277 + 2538*b128*b278 + 
    378*b128*b279 + 4428*b128*b280 + 2268*b128*b281 + 4644*b128*b283 + 3240*
    b128*b284 + 3348*b128*b285 + 3348*b128*b286 + 4482*b128*b287 + 4914*b128*
    b288 + 2016*b128*b289 + 6272*b128*b290 + 4928*b128*b291 + 1568*b128*b292 + 
    224*b128*b293 + 8624*b128*b294 + 2800*b128*b295 + 4256*b128*b296 + 4480*
    b128*b297 + 672*b128*b298 + 9744*b128*b299 + 5264*b128*b300 + 784*b128*b301
     + 9184*b128*b302 + 4704*b128*b303 + 9632*b128*b305 + 6720*b128*b306 + 6944
    *b128*b307 + 6944*b128*b308 + 9296*b128*b309 + 10192*b128*b310 + 1008*b128*
    b311 + 3136*b128*b312 + 2464*b128*b313 + 784*b128*b314 + 112*b128*b315 + 
    4312*b128*b316 + 1400*b128*b317 + 2128*b128*b318 + 2240*b128*b319 + 336*
    b128*b320 + 4872*b128*b321 + 2632*b128*b322 + 392*b128*b323 + 4592*b128*
    b324 + 2352*b128*b325 + 4816*b128*b327 + 3360*b128*b328 + 3472*b128*b329 + 
    3472*b128*b330 + 4648*b128*b331 + 5096*b128*b332 + 2304*b128*b333 + 7168*
    b128*b334 + 5632*b128*b335 + 1792*b128*b336 + 256*b128*b337 + 9856*b128*
    b338 + 3200*b128*b339 + 4864*b128*b340 + 5120*b128*b341 + 768*b128*b342 + 
    11136*b128*b343 + 6016*b128*b344 + 896*b128*b345 + 10496*b128*b346 + 5376*
    b128*b347 + 11008*b128*b349 + 7680*b128*b350 + 7936*b128*b351 + 7936*b128*
    b352 + 10624*b128*b353 + 11648*b128*b354 + 3528*b128*b355 + 10976*b128*b356
     + 8624*b128*b357 + 2744*b128*b358 + 392*b128*b359 + 15092*b128*b360 + 4900
    *b128*b361 + 7448*b128*b362 + 7840*b128*b363 + 1176*b128*b364 + 17052*b128*
    b365 + 9212*b128*b366 + 1372*b128*b367 + 16072*b128*b368 + 8232*b128*b369
     + 16856*b128*b371 + 11760*b128*b372 + 12152*b128*b373 + 12152*b128*b374 + 
    16268*b128*b375 + 17836*b128*b376 + 2484*b128*b377 + 7728*b128*b378 + 6072*
    b128*b379 + 1932*b128*b380 + 276*b128*b381 + 10626*b128*b382 + 3450*b128*
    b383 + 5244*b128*b384 + 5520*b128*b385 + 828*b128*b386 + 12006*b128*b387 + 
    6486*b128*b388 + 966*b128*b389 + 11316*b128*b390 + 5796*b128*b391 + 11868*
    b128*b393 + 8280*b128*b394 + 8556*b128*b395 + 8556*b128*b396 + 11454*b128*
    b397 + 12558*b128*b398 + 2484*b128*b399 + 7728*b128*b400 + 6072*b128*b401
     + 1932*b128*b402 + 276*b128*b403 + 10626*b128*b404 + 3450*b128*b405 + 5244
    *b128*b406 + 5520*b128*b407 + 828*b128*b408 + 12006*b128*b409 + 6486*b128*
    b410 + 966*b128*b411 + 11316*b128*b412 + 5796*b128*b413 + 11868*b128*b415
     + 8280*b128*b416 + 8556*b128*b417 + 8556*b128*b418 + 11454*b128*b419 + 
    12558*b128*b420 + 3348*b128*b421 + 10416*b128*b422 + 8184*b128*b423 + 2604*
    b128*b424 + 372*b128*b425 + 14322*b128*b426 + 4650*b128*b427 + 7068*b128*
    b428 + 7440*b128*b429 + 1116*b128*b430 + 16182*b128*b431 + 8742*b128*b432
     + 1302*b128*b433 + 15252*b128*b434 + 7812*b128*b435 + 15996*b128*b437 + 
    11160*b128*b438 + 11532*b128*b439 + 11532*b128*b440 + 15438*b128*b441 + 
    16926*b128*b442 + 1260*b128*b443 + 3920*b128*b444 + 3080*b128*b445 + 980*
    b128*b446 + 140*b128*b447 + 5390*b128*b448 + 1750*b128*b449 + 2660*b128*
    b450 + 2800*b128*b451 + 420*b128*b452 + 6090*b128*b453 + 3290*b128*b454 + 
    490*b128*b455 + 5740*b128*b456 + 2940*b128*b457 + 6020*b128*b459 + 4200*
    b128*b460 + 4340*b128*b461 + 4340*b128*b462 + 5810*b128*b463 + 6370*b128*
    b464 + 1476*b128*b465 + 4592*b128*b466 + 3608*b128*b467 + 1148*b128*b468 + 
    164*b128*b469 + 6314*b128*b470 + 2050*b128*b471 + 3116*b128*b472 + 3280*
    b128*b473 + 492*b128*b474 + 7134*b128*b475 + 3854*b128*b476 + 574*b128*b477
     + 6724*b128*b478 + 3444*b128*b479 + 7052*b128*b481 + 4920*b128*b482 + 5084
    *b128*b483 + 5084*b128*b484 + 6806*b128*b485 + 7462*b128*b486 + 2412*b128*
    b487 + 7504*b128*b488 + 5896*b128*b489 + 1876*b128*b490 + 268*b128*b491 + 
    10318*b128*b492 + 3350*b128*b493 + 5092*b128*b494 + 5360*b128*b495 + 804*
    b128*b496 + 11658*b128*b497 + 6298*b128*b498 + 938*b128*b499 + 10988*b128*
    b500 + 5628*b128*b501 + 11524*b128*b503 + 8040*b128*b504 + 8308*b128*b505
     + 8308*b128*b506 + 11122*b128*b507 + 12194*b128*b508 + 432*b128*b509 + 
    1344*b128*b510 + 1056*b128*b511 + 336*b128*b512 + 48*b128*b513 + 1848*b128*
    b514 + 600*b128*b515 + 912*b128*b516 + 960*b128*b517 + 144*b128*b518 + 2088
    *b128*b519 + 1128*b128*b520 + 168*b128*b521 + 1968*b128*b522 + 1008*b128*
    b523 + 2064*b128*b525 + 1440*b128*b526 + 1488*b128*b527 + 1488*b128*b528 + 
    1992*b128*b529 + 2184*b128*b530 + 6586*b128*b531 + 7252*b128*b532 + 4218*
    b128*b533 + 14596*b128*b534 + 16072*b128*b535 + 9348*b128*b536 + 16198*b128
    *b537 + 17836*b128*b538 + 10374*b128*b539 + 178*b128*b540 + 196*b128*b541
     + 114*b128*b542 + 3916*b128*b546 + 4312*b128*b547 + 2508*b128*b548 + 12638
    *b128*b549 + 13916*b128*b550 + 8094*b128*b551 + 10324*b128*b552 + 11368*
    b128*b553 + 6612*b128*b554 + 7476*b128*b555 + 8232*b128*b556 + 4788*b128*
    b557 + 16198*b128*b558 + 17836*b128*b559 + 10374*b128*b560 + 9968*b128*b561
     + 10976*b128*b562 + 6384*b128*b563 + 4806*b128*b564 + 5292*b128*b565 + 
    3078*b128*b566 + 9968*b128*b567 + 10976*b128*b568 + 6384*b128*b569 + 4984*
    b128*b570 + 5488*b128*b571 + 3192*b128*b572 + 11392*b128*b573 + 12544*b128*
    b574 + 7296*b128*b575 + 17444*b128*b576 + 19208*b128*b577 + 11172*b128*b578
     + 12282*b128*b579 + 13524*b128*b580 + 7866*b128*b581 + 12282*b128*b582 + 
    13524*b128*b583 + 7866*b128*b584 + 16554*b128*b585 + 18228*b128*b586 + 
    10602*b128*b587 + 6230*b128*b588 + 6860*b128*b589 + 3990*b128*b590 + 7298*
    b128*b591 + 8036*b128*b592 + 4674*b128*b593 + 11926*b128*b594 + 13132*b128*
    b595 + 7638*b128*b596 + 2136*b128*b597 + 2352*b128*b598 + 1368*b128*b599 + 
    560*b128*b600 + 440*b128*b601 + 140*b128*b602 + 20*b128*b603 + 770*b128*
    b604 + 250*b128*b605 + 380*b128*b606 + 400*b128*b607 + 60*b128*b608 + 870*
    b128*b609 + 470*b128*b610 + 70*b128*b611 + 820*b128*b612 + 420*b128*b613 + 
    980*b128*b614 + 860*b128*b616 + 600*b128*b617 + 620*b128*b618 + 620*b128*
    b619 + 830*b128*b620 + 910*b128*b621 + 570*b128*b622 + 180*b128*b623 + 1602
    *b128*b624 + 1764*b128*b625 + 1026*b128*b626 + 2508*b129*b135 + 44*b129*
    b136 + 3740*b129*b137 + 3124*b129*b138 + 440*b129*b139 + 660*b129*b140 + 
    3300*b129*b141 + 1804*b129*b142 + 3036*b129*b143 + 2948*b129*b144 + 3168*
    b129*b145 + 1100*b129*b146 + 3696*b129*b147 + 1276*b129*b148 + 1012*b129*
    b149 + 3784*b129*b150 + 2728*b129*b152 + 1584*b129*b153 + 88*b129*b154 + 88
    *b129*b155 + 1892*b129*b156 + 8094*b129*b157 + 142*b129*b158 + 12070*b129*
    b159 + 10082*b129*b160 + 1420*b129*b161 + 2130*b129*b162 + 10650*b129*b163
     + 5822*b129*b164 + 9798*b129*b165 + 9514*b129*b166 + 10224*b129*b167 + 
    3550*b129*b168 + 11928*b129*b169 + 4118*b129*b170 + 3266*b129*b171 + 12212*
    b129*b172 + 8804*b129*b174 + 5112*b129*b175 + 284*b129*b176 + 284*b129*b177
     + 6106*b129*b178 + 6612*b129*b179 + 116*b129*b180 + 9860*b129*b181 + 8236*
    b129*b182 + 1160*b129*b183 + 1740*b129*b184 + 8700*b129*b185 + 4756*b129*
    b186 + 8004*b129*b187 + 7772*b129*b188 + 8352*b129*b189 + 2900*b129*b190 + 
    9744*b129*b191 + 3364*b129*b192 + 2668*b129*b193 + 9976*b129*b194 + 7192*
    b129*b196 + 4176*b129*b197 + 232*b129*b198 + 232*b129*b199 + 4988*b129*b200
     + 4788*b129*b201 + 84*b129*b202 + 7140*b129*b203 + 5964*b129*b204 + 840*
    b129*b205 + 1260*b129*b206 + 6300*b129*b207 + 3444*b129*b208 + 5796*b129*
    b209 + 5628*b129*b210 + 6048*b129*b211 + 2100*b129*b212 + 7056*b129*b213 + 
    2436*b129*b214 + 1932*b129*b215 + 7224*b129*b216 + 5208*b129*b218 + 3024*
    b129*b219 + 168*b129*b220 + 168*b129*b221 + 3612*b129*b222 + 10374*b129*
    b223 + 182*b129*b224 + 15470*b129*b225 + 12922*b129*b226 + 1820*b129*b227
     + 2730*b129*b228 + 13650*b129*b229 + 7462*b129*b230 + 12558*b129*b231 + 
    12194*b129*b232 + 13104*b129*b233 + 4550*b129*b234 + 15288*b129*b235 + 5278
    *b129*b236 + 4186*b129*b237 + 15652*b129*b238 + 11284*b129*b240 + 6552*b129
    *b241 + 364*b129*b242 + 364*b129*b243 + 7826*b129*b244 + 6384*b129*b245 + 
    112*b129*b246 + 9520*b129*b247 + 7952*b129*b248 + 1120*b129*b249 + 1680*
    b129*b250 + 8400*b129*b251 + 4592*b129*b252 + 7728*b129*b253 + 7504*b129*
    b254 + 8064*b129*b255 + 2800*b129*b256 + 9408*b129*b257 + 3248*b129*b258 + 
    2576*b129*b259 + 9632*b129*b260 + 6944*b129*b262 + 4032*b129*b263 + 224*
    b129*b264 + 224*b129*b265 + 4816*b129*b266 + 3078*b129*b267 + 54*b129*b268
     + 4590*b129*b269 + 3834*b129*b270 + 540*b129*b271 + 810*b129*b272 + 4050*
    b129*b273 + 2214*b129*b274 + 3726*b129*b275 + 3618*b129*b276 + 3888*b129*
    b277 + 1350*b129*b278 + 4536*b129*b279 + 1566*b129*b280 + 1242*b129*b281 + 
    4644*b129*b282 + 3348*b129*b284 + 1944*b129*b285 + 108*b129*b286 + 108*b129
    *b287 + 2322*b129*b288 + 6384*b129*b289 + 112*b129*b290 + 9520*b129*b291 + 
    7952*b129*b292 + 1120*b129*b293 + 1680*b129*b294 + 8400*b129*b295 + 4592*
    b129*b296 + 7728*b129*b297 + 7504*b129*b298 + 8064*b129*b299 + 2800*b129*
    b300 + 9408*b129*b301 + 3248*b129*b302 + 2576*b129*b303 + 9632*b129*b304 + 
    6944*b129*b306 + 4032*b129*b307 + 224*b129*b308 + 224*b129*b309 + 4816*b129
    *b310 + 3192*b129*b311 + 56*b129*b312 + 4760*b129*b313 + 3976*b129*b314 + 
    560*b129*b315 + 840*b129*b316 + 4200*b129*b317 + 2296*b129*b318 + 3864*b129
    *b319 + 3752*b129*b320 + 4032*b129*b321 + 1400*b129*b322 + 4704*b129*b323
     + 1624*b129*b324 + 1288*b129*b325 + 4816*b129*b326 + 3472*b129*b328 + 2016
    *b129*b329 + 112*b129*b330 + 112*b129*b331 + 2408*b129*b332 + 7296*b129*
    b333 + 128*b129*b334 + 10880*b129*b335 + 9088*b129*b336 + 1280*b129*b337 + 
    1920*b129*b338 + 9600*b129*b339 + 5248*b129*b340 + 8832*b129*b341 + 8576*
    b129*b342 + 9216*b129*b343 + 3200*b129*b344 + 10752*b129*b345 + 3712*b129*
    b346 + 2944*b129*b347 + 11008*b129*b348 + 7936*b129*b350 + 4608*b129*b351
     + 256*b129*b352 + 256*b129*b353 + 5504*b129*b354 + 11172*b129*b355 + 196*
    b129*b356 + 16660*b129*b357 + 13916*b129*b358 + 1960*b129*b359 + 2940*b129*
    b360 + 14700*b129*b361 + 8036*b129*b362 + 13524*b129*b363 + 13132*b129*b364
     + 14112*b129*b365 + 4900*b129*b366 + 16464*b129*b367 + 5684*b129*b368 + 
    4508*b129*b369 + 16856*b129*b370 + 12152*b129*b372 + 7056*b129*b373 + 392*
    b129*b374 + 392*b129*b375 + 8428*b129*b376 + 7866*b129*b377 + 138*b129*b378
     + 11730*b129*b379 + 9798*b129*b380 + 1380*b129*b381 + 2070*b129*b382 + 
    10350*b129*b383 + 5658*b129*b384 + 9522*b129*b385 + 9246*b129*b386 + 9936*
    b129*b387 + 3450*b129*b388 + 11592*b129*b389 + 4002*b129*b390 + 3174*b129*
    b391 + 11868*b129*b392 + 8556*b129*b394 + 4968*b129*b395 + 276*b129*b396 + 
    276*b129*b397 + 5934*b129*b398 + 7866*b129*b399 + 138*b129*b400 + 11730*
    b129*b401 + 9798*b129*b402 + 1380*b129*b403 + 2070*b129*b404 + 10350*b129*
    b405 + 5658*b129*b406 + 9522*b129*b407 + 9246*b129*b408 + 9936*b129*b409 + 
    3450*b129*b410 + 11592*b129*b411 + 4002*b129*b412 + 3174*b129*b413 + 11868*
    b129*b414 + 8556*b129*b416 + 4968*b129*b417 + 276*b129*b418 + 276*b129*b419
     + 5934*b129*b420 + 10602*b129*b421 + 186*b129*b422 + 15810*b129*b423 + 
    13206*b129*b424 + 1860*b129*b425 + 2790*b129*b426 + 13950*b129*b427 + 7626*
    b129*b428 + 12834*b129*b429 + 12462*b129*b430 + 13392*b129*b431 + 4650*b129
    *b432 + 15624*b129*b433 + 5394*b129*b434 + 4278*b129*b435 + 15996*b129*b436
     + 11532*b129*b438 + 6696*b129*b439 + 372*b129*b440 + 372*b129*b441 + 7998*
    b129*b442 + 3990*b129*b443 + 70*b129*b444 + 5950*b129*b445 + 4970*b129*b446
     + 700*b129*b447 + 1050*b129*b448 + 5250*b129*b449 + 2870*b129*b450 + 4830*
    b129*b451 + 4690*b129*b452 + 5040*b129*b453 + 1750*b129*b454 + 5880*b129*
    b455 + 2030*b129*b456 + 1610*b129*b457 + 6020*b129*b458 + 4340*b129*b460 + 
    2520*b129*b461 + 140*b129*b462 + 140*b129*b463 + 3010*b129*b464 + 4674*b129
    *b465 + 82*b129*b466 + 6970*b129*b467 + 5822*b129*b468 + 820*b129*b469 + 
    1230*b129*b470 + 6150*b129*b471 + 3362*b129*b472 + 5658*b129*b473 + 5494*
    b129*b474 + 5904*b129*b475 + 2050*b129*b476 + 6888*b129*b477 + 2378*b129*
    b478 + 1886*b129*b479 + 7052*b129*b480 + 5084*b129*b482 + 2952*b129*b483 + 
    164*b129*b484 + 164*b129*b485 + 3526*b129*b486 + 7638*b129*b487 + 134*b129*
    b488 + 11390*b129*b489 + 9514*b129*b490 + 1340*b129*b491 + 2010*b129*b492
     + 10050*b129*b493 + 5494*b129*b494 + 9246*b129*b495 + 8978*b129*b496 + 
    9648*b129*b497 + 3350*b129*b498 + 11256*b129*b499 + 3886*b129*b500 + 3082*
    b129*b501 + 11524*b129*b502 + 8308*b129*b504 + 4824*b129*b505 + 268*b129*
    b506 + 268*b129*b507 + 5762*b129*b508 + 1368*b129*b509 + 24*b129*b510 + 
    2040*b129*b511 + 1704*b129*b512 + 240*b129*b513 + 360*b129*b514 + 1800*b129
    *b515 + 984*b129*b516 + 1656*b129*b517 + 1608*b129*b518 + 1728*b129*b519 + 
    600*b129*b520 + 2016*b129*b521 + 696*b129*b522 + 552*b129*b523 + 2064*b129*
    b524 + 1488*b129*b526 + 864*b129*b527 + 48*b129*b528 + 48*b129*b529 + 1032*
    b129*b530 + 2590*b129*b531 + 2590*b129*b532 + 4810*b129*b533 + 5740*b129*
    b534 + 5740*b129*b535 + 10660*b129*b536 + 6370*b129*b537 + 6370*b129*b538
     + 11830*b129*b539 + 70*b129*b540 + 70*b129*b541 + 130*b129*b542 + 1540*
    b129*b546 + 1540*b129*b547 + 2860*b129*b548 + 4970*b129*b549 + 4970*b129*
    b550 + 9230*b129*b551 + 4060*b129*b552 + 4060*b129*b553 + 7540*b129*b554 + 
    2940*b129*b555 + 2940*b129*b556 + 5460*b129*b557 + 6370*b129*b558 + 6370*
    b129*b559 + 11830*b129*b560 + 3920*b129*b561 + 3920*b129*b562 + 7280*b129*
    b563 + 1890*b129*b564 + 1890*b129*b565 + 3510*b129*b566 + 3920*b129*b567 + 
    3920*b129*b568 + 7280*b129*b569 + 1960*b129*b570 + 1960*b129*b571 + 3640*
    b129*b572 + 4480*b129*b573 + 4480*b129*b574 + 8320*b129*b575 + 6860*b129*
    b576 + 6860*b129*b577 + 12740*b129*b578 + 4830*b129*b579 + 4830*b129*b580
     + 8970*b129*b581 + 4830*b129*b582 + 4830*b129*b583 + 8970*b129*b584 + 6510
    *b129*b585 + 6510*b129*b586 + 12090*b129*b587 + 2450*b129*b588 + 2450*b129*
    b589 + 4550*b129*b590 + 2870*b129*b591 + 2870*b129*b592 + 5330*b129*b593 + 
    4690*b129*b594 + 4690*b129*b595 + 8710*b129*b596 + 840*b129*b597 + 840*b129
    *b598 + 1560*b129*b599 + 10*b129*b600 + 850*b129*b601 + 710*b129*b602 + 100
    *b129*b603 + 150*b129*b604 + 750*b129*b605 + 410*b129*b606 + 690*b129*b607
     + 670*b129*b608 + 720*b129*b609 + 250*b129*b610 + 840*b129*b611 + 290*b129
    *b612 + 230*b129*b613 + 350*b129*b614 + 860*b129*b615 + 620*b129*b617 + 360
    *b129*b618 + 20*b129*b619 + 20*b129*b620 + 430*b129*b621 + 650*b129*b622 + 
    570*b129*b623 + 630*b129*b624 + 630*b129*b625 + 1170*b129*b626 + 1584*b130*
    b135 + 2200*b130*b136 + 4136*b130*b137 + 3388*b130*b138 + 4356*b130*b139 + 
    3916*b130*b140 + 3344*b130*b141 + 2464*b130*b142 + 528*b130*b143 + 1144*
    b130*b144 + 1980*b130*b145 + 1320*b130*b146 + 264*b130*b147 + 132*b130*b148
     + 2728*b130*b149 + 2640*b130*b150 + 2728*b130*b151 + 1628*b130*b153 + 2156
    *b130*b154 + 2684*b130*b155 + 220*b130*b156 + 5112*b130*b157 + 7100*b130*
    b158 + 13348*b130*b159 + 10934*b130*b160 + 14058*b130*b161 + 12638*b130*
    b162 + 10792*b130*b163 + 7952*b130*b164 + 1704*b130*b165 + 3692*b130*b166
     + 6390*b130*b167 + 4260*b130*b168 + 852*b130*b169 + 426*b130*b170 + 8804*
    b130*b171 + 8520*b130*b172 + 8804*b130*b173 + 5254*b130*b175 + 6958*b130*
    b176 + 8662*b130*b177 + 710*b130*b178 + 4176*b130*b179 + 5800*b130*b180 + 
    10904*b130*b181 + 8932*b130*b182 + 11484*b130*b183 + 10324*b130*b184 + 8816
    *b130*b185 + 6496*b130*b186 + 1392*b130*b187 + 3016*b130*b188 + 5220*b130*
    b189 + 3480*b130*b190 + 696*b130*b191 + 348*b130*b192 + 7192*b130*b193 + 
    6960*b130*b194 + 7192*b130*b195 + 4292*b130*b197 + 5684*b130*b198 + 7076*
    b130*b199 + 580*b130*b200 + 3024*b130*b201 + 4200*b130*b202 + 7896*b130*
    b203 + 6468*b130*b204 + 8316*b130*b205 + 7476*b130*b206 + 6384*b130*b207 + 
    4704*b130*b208 + 1008*b130*b209 + 2184*b130*b210 + 3780*b130*b211 + 2520*
    b130*b212 + 504*b130*b213 + 252*b130*b214 + 5208*b130*b215 + 5040*b130*b216
     + 5208*b130*b217 + 3108*b130*b219 + 4116*b130*b220 + 5124*b130*b221 + 420*
    b130*b222 + 6552*b130*b223 + 9100*b130*b224 + 17108*b130*b225 + 14014*b130*
    b226 + 18018*b130*b227 + 16198*b130*b228 + 13832*b130*b229 + 10192*b130*
    b230 + 2184*b130*b231 + 4732*b130*b232 + 8190*b130*b233 + 5460*b130*b234 + 
    1092*b130*b235 + 546*b130*b236 + 11284*b130*b237 + 10920*b130*b238 + 11284*
    b130*b239 + 6734*b130*b241 + 8918*b130*b242 + 11102*b130*b243 + 910*b130*
    b244 + 4032*b130*b245 + 5600*b130*b246 + 10528*b130*b247 + 8624*b130*b248
     + 11088*b130*b249 + 9968*b130*b250 + 8512*b130*b251 + 6272*b130*b252 + 
    1344*b130*b253 + 2912*b130*b254 + 5040*b130*b255 + 3360*b130*b256 + 672*
    b130*b257 + 336*b130*b258 + 6944*b130*b259 + 6720*b130*b260 + 6944*b130*
    b261 + 4144*b130*b263 + 5488*b130*b264 + 6832*b130*b265 + 560*b130*b266 + 
    1944*b130*b267 + 2700*b130*b268 + 5076*b130*b269 + 4158*b130*b270 + 5346*
    b130*b271 + 4806*b130*b272 + 4104*b130*b273 + 3024*b130*b274 + 648*b130*
    b275 + 1404*b130*b276 + 2430*b130*b277 + 1620*b130*b278 + 324*b130*b279 + 
    162*b130*b280 + 3348*b130*b281 + 3240*b130*b282 + 3348*b130*b283 + 1998*
    b130*b285 + 2646*b130*b286 + 3294*b130*b287 + 270*b130*b288 + 4032*b130*
    b289 + 5600*b130*b290 + 10528*b130*b291 + 8624*b130*b292 + 11088*b130*b293
     + 9968*b130*b294 + 8512*b130*b295 + 6272*b130*b296 + 1344*b130*b297 + 2912
    *b130*b298 + 5040*b130*b299 + 3360*b130*b300 + 672*b130*b301 + 336*b130*
    b302 + 6944*b130*b303 + 6720*b130*b304 + 6944*b130*b305 + 4144*b130*b307 + 
    5488*b130*b308 + 6832*b130*b309 + 560*b130*b310 + 2016*b130*b311 + 2800*
    b130*b312 + 5264*b130*b313 + 4312*b130*b314 + 5544*b130*b315 + 4984*b130*
    b316 + 4256*b130*b317 + 3136*b130*b318 + 672*b130*b319 + 1456*b130*b320 + 
    2520*b130*b321 + 1680*b130*b322 + 336*b130*b323 + 168*b130*b324 + 3472*b130
    *b325 + 3360*b130*b326 + 3472*b130*b327 + 2072*b130*b329 + 2744*b130*b330
     + 3416*b130*b331 + 280*b130*b332 + 4608*b130*b333 + 6400*b130*b334 + 12032
    *b130*b335 + 9856*b130*b336 + 12672*b130*b337 + 11392*b130*b338 + 9728*b130
    *b339 + 7168*b130*b340 + 1536*b130*b341 + 3328*b130*b342 + 5760*b130*b343
     + 3840*b130*b344 + 768*b130*b345 + 384*b130*b346 + 7936*b130*b347 + 7680*
    b130*b348 + 7936*b130*b349 + 4736*b130*b351 + 6272*b130*b352 + 7808*b130*
    b353 + 640*b130*b354 + 7056*b130*b355 + 9800*b130*b356 + 18424*b130*b357 + 
    15092*b130*b358 + 19404*b130*b359 + 17444*b130*b360 + 14896*b130*b361 + 
    10976*b130*b362 + 2352*b130*b363 + 5096*b130*b364 + 8820*b130*b365 + 5880*
    b130*b366 + 1176*b130*b367 + 588*b130*b368 + 12152*b130*b369 + 11760*b130*
    b370 + 12152*b130*b371 + 7252*b130*b373 + 9604*b130*b374 + 11956*b130*b375
     + 980*b130*b376 + 4968*b130*b377 + 6900*b130*b378 + 12972*b130*b379 + 
    10626*b130*b380 + 13662*b130*b381 + 12282*b130*b382 + 10488*b130*b383 + 
    7728*b130*b384 + 1656*b130*b385 + 3588*b130*b386 + 6210*b130*b387 + 4140*
    b130*b388 + 828*b130*b389 + 414*b130*b390 + 8556*b130*b391 + 8280*b130*b392
     + 8556*b130*b393 + 5106*b130*b395 + 6762*b130*b396 + 8418*b130*b397 + 690*
    b130*b398 + 4968*b130*b399 + 6900*b130*b400 + 12972*b130*b401 + 10626*b130*
    b402 + 13662*b130*b403 + 12282*b130*b404 + 10488*b130*b405 + 7728*b130*b406
     + 1656*b130*b407 + 3588*b130*b408 + 6210*b130*b409 + 4140*b130*b410 + 828*
    b130*b411 + 414*b130*b412 + 8556*b130*b413 + 8280*b130*b414 + 8556*b130*
    b415 + 5106*b130*b417 + 6762*b130*b418 + 8418*b130*b419 + 690*b130*b420 + 
    6696*b130*b421 + 9300*b130*b422 + 17484*b130*b423 + 14322*b130*b424 + 18414
    *b130*b425 + 16554*b130*b426 + 14136*b130*b427 + 10416*b130*b428 + 2232*
    b130*b429 + 4836*b130*b430 + 8370*b130*b431 + 5580*b130*b432 + 1116*b130*
    b433 + 558*b130*b434 + 11532*b130*b435 + 11160*b130*b436 + 11532*b130*b437
     + 6882*b130*b439 + 9114*b130*b440 + 11346*b130*b441 + 930*b130*b442 + 2520
    *b130*b443 + 3500*b130*b444 + 6580*b130*b445 + 5390*b130*b446 + 6930*b130*
    b447 + 6230*b130*b448 + 5320*b130*b449 + 3920*b130*b450 + 840*b130*b451 + 
    1820*b130*b452 + 3150*b130*b453 + 2100*b130*b454 + 420*b130*b455 + 210*b130
    *b456 + 4340*b130*b457 + 4200*b130*b458 + 4340*b130*b459 + 2590*b130*b461
     + 3430*b130*b462 + 4270*b130*b463 + 350*b130*b464 + 2952*b130*b465 + 4100*
    b130*b466 + 7708*b130*b467 + 6314*b130*b468 + 8118*b130*b469 + 7298*b130*
    b470 + 6232*b130*b471 + 4592*b130*b472 + 984*b130*b473 + 2132*b130*b474 + 
    3690*b130*b475 + 2460*b130*b476 + 492*b130*b477 + 246*b130*b478 + 5084*b130
    *b479 + 4920*b130*b480 + 5084*b130*b481 + 3034*b130*b483 + 4018*b130*b484
     + 5002*b130*b485 + 410*b130*b486 + 4824*b130*b487 + 6700*b130*b488 + 12596
    *b130*b489 + 10318*b130*b490 + 13266*b130*b491 + 11926*b130*b492 + 10184*
    b130*b493 + 7504*b130*b494 + 1608*b130*b495 + 3484*b130*b496 + 6030*b130*
    b497 + 4020*b130*b498 + 804*b130*b499 + 402*b130*b500 + 8308*b130*b501 + 
    8040*b130*b502 + 8308*b130*b503 + 4958*b130*b505 + 6566*b130*b506 + 8174*
    b130*b507 + 670*b130*b508 + 864*b130*b509 + 1200*b130*b510 + 2256*b130*b511
     + 1848*b130*b512 + 2376*b130*b513 + 2136*b130*b514 + 1824*b130*b515 + 1344
    *b130*b516 + 288*b130*b517 + 624*b130*b518 + 1080*b130*b519 + 720*b130*b520
     + 144*b130*b521 + 72*b130*b522 + 1488*b130*b523 + 1440*b130*b524 + 1488*
    b130*b525 + 888*b130*b527 + 1176*b130*b528 + 1464*b130*b529 + 120*b130*b530
     + 666*b130*b531 + 1110*b130*b532 + 2516*b130*b533 + 1476*b130*b534 + 2460*
    b130*b535 + 5576*b130*b536 + 1638*b130*b537 + 2730*b130*b538 + 6188*b130*
    b539 + 18*b130*b540 + 30*b130*b541 + 68*b130*b542 + 396*b130*b546 + 660*
    b130*b547 + 1496*b130*b548 + 1278*b130*b549 + 2130*b130*b550 + 4828*b130*
    b551 + 1044*b130*b552 + 1740*b130*b553 + 3944*b130*b554 + 756*b130*b555 + 
    1260*b130*b556 + 2856*b130*b557 + 1638*b130*b558 + 2730*b130*b559 + 6188*
    b130*b560 + 1008*b130*b561 + 1680*b130*b562 + 3808*b130*b563 + 486*b130*
    b564 + 810*b130*b565 + 1836*b130*b566 + 1008*b130*b567 + 1680*b130*b568 + 
    3808*b130*b569 + 504*b130*b570 + 840*b130*b571 + 1904*b130*b572 + 1152*b130
    *b573 + 1920*b130*b574 + 4352*b130*b575 + 1764*b130*b576 + 2940*b130*b577
     + 6664*b130*b578 + 1242*b130*b579 + 2070*b130*b580 + 4692*b130*b581 + 1242
    *b130*b582 + 2070*b130*b583 + 4692*b130*b584 + 1674*b130*b585 + 2790*b130*
    b586 + 6324*b130*b587 + 630*b130*b588 + 1050*b130*b589 + 2380*b130*b590 + 
    738*b130*b591 + 1230*b130*b592 + 2788*b130*b593 + 1206*b130*b594 + 2010*
    b130*b595 + 4556*b130*b596 + 216*b130*b597 + 360*b130*b598 + 816*b130*b599
     + 500*b130*b600 + 940*b130*b601 + 770*b130*b602 + 990*b130*b603 + 890*b130
    *b604 + 760*b130*b605 + 560*b130*b606 + 120*b130*b607 + 260*b130*b608 + 450
    *b130*b609 + 300*b130*b610 + 60*b130*b611 + 30*b130*b612 + 620*b130*b613 + 
    150*b130*b614 + 600*b130*b615 + 620*b130*b616 + 370*b130*b618 + 490*b130*
    b619 + 610*b130*b620 + 50*b130*b621 + 340*b130*b622 + 360*b130*b623 + 162*
    b130*b624 + 270*b130*b625 + 612*b130*b626 + 2684*b131*b135 + 176*b131*b136
     + 3960*b131*b137 + 1584*b131*b138 + 2464*b131*b139 + 2112*b131*b140 + 1760
    *b131*b141 + 1716*b131*b142 + 3740*b131*b143 + 3608*b131*b144 + 4224*b131*
    b145 + 1892*b131*b146 + 132*b131*b148 + 2728*b131*b149 + 2728*b131*b150 + 
    1584*b131*b151 + 1628*b131*b152 + 2332*b131*b154 + 4224*b131*b155 + 3608*
    b131*b156 + 8662*b131*b157 + 568*b131*b158 + 12780*b131*b159 + 5112*b131*
    b160 + 7952*b131*b161 + 6816*b131*b162 + 5680*b131*b163 + 5538*b131*b164 + 
    12070*b131*b165 + 11644*b131*b166 + 13632*b131*b167 + 6106*b131*b168 + 426*
    b131*b170 + 8804*b131*b171 + 8804*b131*b172 + 5112*b131*b173 + 5254*b131*
    b174 + 7526*b131*b176 + 13632*b131*b177 + 11644*b131*b178 + 7076*b131*b179
     + 464*b131*b180 + 10440*b131*b181 + 4176*b131*b182 + 6496*b131*b183 + 5568
    *b131*b184 + 4640*b131*b185 + 4524*b131*b186 + 9860*b131*b187 + 9512*b131*
    b188 + 11136*b131*b189 + 4988*b131*b190 + 348*b131*b192 + 7192*b131*b193 + 
    7192*b131*b194 + 4176*b131*b195 + 4292*b131*b196 + 6148*b131*b198 + 11136*
    b131*b199 + 9512*b131*b200 + 5124*b131*b201 + 336*b131*b202 + 7560*b131*
    b203 + 3024*b131*b204 + 4704*b131*b205 + 4032*b131*b206 + 3360*b131*b207 + 
    3276*b131*b208 + 7140*b131*b209 + 6888*b131*b210 + 8064*b131*b211 + 3612*
    b131*b212 + 252*b131*b214 + 5208*b131*b215 + 5208*b131*b216 + 3024*b131*
    b217 + 3108*b131*b218 + 4452*b131*b220 + 8064*b131*b221 + 6888*b131*b222 + 
    11102*b131*b223 + 728*b131*b224 + 16380*b131*b225 + 6552*b131*b226 + 10192*
    b131*b227 + 8736*b131*b228 + 7280*b131*b229 + 7098*b131*b230 + 15470*b131*
    b231 + 14924*b131*b232 + 17472*b131*b233 + 7826*b131*b234 + 546*b131*b236
     + 11284*b131*b237 + 11284*b131*b238 + 6552*b131*b239 + 6734*b131*b240 + 
    9646*b131*b242 + 17472*b131*b243 + 14924*b131*b244 + 6832*b131*b245 + 448*
    b131*b246 + 10080*b131*b247 + 4032*b131*b248 + 6272*b131*b249 + 5376*b131*
    b250 + 4480*b131*b251 + 4368*b131*b252 + 9520*b131*b253 + 9184*b131*b254 + 
    10752*b131*b255 + 4816*b131*b256 + 336*b131*b258 + 6944*b131*b259 + 6944*
    b131*b260 + 4032*b131*b261 + 4144*b131*b262 + 5936*b131*b264 + 10752*b131*
    b265 + 9184*b131*b266 + 3294*b131*b267 + 216*b131*b268 + 4860*b131*b269 + 
    1944*b131*b270 + 3024*b131*b271 + 2592*b131*b272 + 2160*b131*b273 + 2106*
    b131*b274 + 4590*b131*b275 + 4428*b131*b276 + 5184*b131*b277 + 2322*b131*
    b278 + 162*b131*b280 + 3348*b131*b281 + 3348*b131*b282 + 1944*b131*b283 + 
    1998*b131*b284 + 2862*b131*b286 + 5184*b131*b287 + 4428*b131*b288 + 6832*
    b131*b289 + 448*b131*b290 + 10080*b131*b291 + 4032*b131*b292 + 6272*b131*
    b293 + 5376*b131*b294 + 4480*b131*b295 + 4368*b131*b296 + 9520*b131*b297 + 
    9184*b131*b298 + 10752*b131*b299 + 4816*b131*b300 + 336*b131*b302 + 6944*
    b131*b303 + 6944*b131*b304 + 4032*b131*b305 + 4144*b131*b306 + 5936*b131*
    b308 + 10752*b131*b309 + 9184*b131*b310 + 3416*b131*b311 + 224*b131*b312 + 
    5040*b131*b313 + 2016*b131*b314 + 3136*b131*b315 + 2688*b131*b316 + 2240*
    b131*b317 + 2184*b131*b318 + 4760*b131*b319 + 4592*b131*b320 + 5376*b131*
    b321 + 2408*b131*b322 + 168*b131*b324 + 3472*b131*b325 + 3472*b131*b326 + 
    2016*b131*b327 + 2072*b131*b328 + 2968*b131*b330 + 5376*b131*b331 + 4592*
    b131*b332 + 7808*b131*b333 + 512*b131*b334 + 11520*b131*b335 + 4608*b131*
    b336 + 7168*b131*b337 + 6144*b131*b338 + 5120*b131*b339 + 4992*b131*b340 + 
    10880*b131*b341 + 10496*b131*b342 + 12288*b131*b343 + 5504*b131*b344 + 384*
    b131*b346 + 7936*b131*b347 + 7936*b131*b348 + 4608*b131*b349 + 4736*b131*
    b350 + 6784*b131*b352 + 12288*b131*b353 + 10496*b131*b354 + 11956*b131*b355
     + 784*b131*b356 + 17640*b131*b357 + 7056*b131*b358 + 10976*b131*b359 + 
    9408*b131*b360 + 7840*b131*b361 + 7644*b131*b362 + 16660*b131*b363 + 16072*
    b131*b364 + 18816*b131*b365 + 8428*b131*b366 + 588*b131*b368 + 12152*b131*
    b369 + 12152*b131*b370 + 7056*b131*b371 + 7252*b131*b372 + 10388*b131*b374
     + 18816*b131*b375 + 16072*b131*b376 + 8418*b131*b377 + 552*b131*b378 + 
    12420*b131*b379 + 4968*b131*b380 + 7728*b131*b381 + 6624*b131*b382 + 5520*
    b131*b383 + 5382*b131*b384 + 11730*b131*b385 + 11316*b131*b386 + 13248*b131
    *b387 + 5934*b131*b388 + 414*b131*b390 + 8556*b131*b391 + 8556*b131*b392 + 
    4968*b131*b393 + 5106*b131*b394 + 7314*b131*b396 + 13248*b131*b397 + 11316*
    b131*b398 + 8418*b131*b399 + 552*b131*b400 + 12420*b131*b401 + 4968*b131*
    b402 + 7728*b131*b403 + 6624*b131*b404 + 5520*b131*b405 + 5382*b131*b406 + 
    11730*b131*b407 + 11316*b131*b408 + 13248*b131*b409 + 5934*b131*b410 + 414*
    b131*b412 + 8556*b131*b413 + 8556*b131*b414 + 4968*b131*b415 + 5106*b131*
    b416 + 7314*b131*b418 + 13248*b131*b419 + 11316*b131*b420 + 11346*b131*b421
     + 744*b131*b422 + 16740*b131*b423 + 6696*b131*b424 + 10416*b131*b425 + 
    8928*b131*b426 + 7440*b131*b427 + 7254*b131*b428 + 15810*b131*b429 + 15252*
    b131*b430 + 17856*b131*b431 + 7998*b131*b432 + 558*b131*b434 + 11532*b131*
    b435 + 11532*b131*b436 + 6696*b131*b437 + 6882*b131*b438 + 9858*b131*b440
     + 17856*b131*b441 + 15252*b131*b442 + 4270*b131*b443 + 280*b131*b444 + 
    6300*b131*b445 + 2520*b131*b446 + 3920*b131*b447 + 3360*b131*b448 + 2800*
    b131*b449 + 2730*b131*b450 + 5950*b131*b451 + 5740*b131*b452 + 6720*b131*
    b453 + 3010*b131*b454 + 210*b131*b456 + 4340*b131*b457 + 4340*b131*b458 + 
    2520*b131*b459 + 2590*b131*b460 + 3710*b131*b462 + 6720*b131*b463 + 5740*
    b131*b464 + 5002*b131*b465 + 328*b131*b466 + 7380*b131*b467 + 2952*b131*
    b468 + 4592*b131*b469 + 3936*b131*b470 + 3280*b131*b471 + 3198*b131*b472 + 
    6970*b131*b473 + 6724*b131*b474 + 7872*b131*b475 + 3526*b131*b476 + 246*
    b131*b478 + 5084*b131*b479 + 5084*b131*b480 + 2952*b131*b481 + 3034*b131*
    b482 + 4346*b131*b484 + 7872*b131*b485 + 6724*b131*b486 + 8174*b131*b487 + 
    536*b131*b488 + 12060*b131*b489 + 4824*b131*b490 + 7504*b131*b491 + 6432*
    b131*b492 + 5360*b131*b493 + 5226*b131*b494 + 11390*b131*b495 + 10988*b131*
    b496 + 12864*b131*b497 + 5762*b131*b498 + 402*b131*b500 + 8308*b131*b501 + 
    8308*b131*b502 + 4824*b131*b503 + 4958*b131*b504 + 7102*b131*b506 + 12864*
    b131*b507 + 10988*b131*b508 + 1464*b131*b509 + 96*b131*b510 + 2160*b131*
    b511 + 864*b131*b512 + 1344*b131*b513 + 1152*b131*b514 + 960*b131*b515 + 
    936*b131*b516 + 2040*b131*b517 + 1968*b131*b518 + 2304*b131*b519 + 1032*
    b131*b520 + 72*b131*b522 + 1488*b131*b523 + 1488*b131*b524 + 864*b131*b525
     + 888*b131*b526 + 1272*b131*b528 + 2304*b131*b529 + 1968*b131*b530 + 74*
    b131*b531 + 1258*b131*b532 + 3552*b131*b533 + 164*b131*b534 + 2788*b131*
    b535 + 7872*b131*b536 + 182*b131*b537 + 3094*b131*b538 + 8736*b131*b539 + 2
    *b131*b540 + 34*b131*b541 + 96*b131*b542 + 44*b131*b546 + 748*b131*b547 + 
    2112*b131*b548 + 142*b131*b549 + 2414*b131*b550 + 6816*b131*b551 + 116*b131
    *b552 + 1972*b131*b553 + 5568*b131*b554 + 84*b131*b555 + 1428*b131*b556 + 
    4032*b131*b557 + 182*b131*b558 + 3094*b131*b559 + 8736*b131*b560 + 112*b131
    *b561 + 1904*b131*b562 + 5376*b131*b563 + 54*b131*b564 + 918*b131*b565 + 
    2592*b131*b566 + 112*b131*b567 + 1904*b131*b568 + 5376*b131*b569 + 56*b131*
    b570 + 952*b131*b571 + 2688*b131*b572 + 128*b131*b573 + 2176*b131*b574 + 
    6144*b131*b575 + 196*b131*b576 + 3332*b131*b577 + 9408*b131*b578 + 138*b131
    *b579 + 2346*b131*b580 + 6624*b131*b581 + 138*b131*b582 + 2346*b131*b583 + 
    6624*b131*b584 + 186*b131*b585 + 3162*b131*b586 + 8928*b131*b587 + 70*b131*
    b588 + 1190*b131*b589 + 3360*b131*b590 + 82*b131*b591 + 1394*b131*b592 + 
    3936*b131*b593 + 134*b131*b594 + 2278*b131*b595 + 6432*b131*b596 + 24*b131*
    b597 + 408*b131*b598 + 1152*b131*b599 + 40*b131*b600 + 900*b131*b601 + 360*
    b131*b602 + 560*b131*b603 + 480*b131*b604 + 400*b131*b605 + 390*b131*b606
     + 850*b131*b607 + 820*b131*b608 + 960*b131*b609 + 430*b131*b610 + 30*b131*
    b612 + 620*b131*b613 + 170*b131*b614 + 620*b131*b615 + 360*b131*b616 + 370*
    b131*b617 + 530*b131*b619 + 960*b131*b620 + 820*b131*b621 + 480*b131*b622
     + 610*b131*b623 + 18*b131*b624 + 306*b131*b625 + 864*b131*b626 + 1584*b132
    *b135 + 1584*b132*b136 + 2244*b132*b137 + 2332*b132*b138 + 3080*b132*b139
     + 616*b132*b140 + 2904*b132*b141 + 2332*b132*b142 + 3168*b132*b143 + 1936*
    b132*b144 + 308*b132*b145 + 4268*b132*b146 + 2244*b132*b148 + 1232*b132*
    b149 + 2728*b132*b150 + 88*b132*b151 + 2156*b132*b152 + 2332*b132*b153 + 
    1232*b132*b155 + 1364*b132*b156 + 5112*b132*b157 + 5112*b132*b158 + 7242*
    b132*b159 + 7526*b132*b160 + 9940*b132*b161 + 1988*b132*b162 + 9372*b132*
    b163 + 7526*b132*b164 + 10224*b132*b165 + 6248*b132*b166 + 994*b132*b167 + 
    13774*b132*b168 + 7242*b132*b170 + 3976*b132*b171 + 8804*b132*b172 + 284*
    b132*b173 + 6958*b132*b174 + 7526*b132*b175 + 3976*b132*b177 + 4402*b132*
    b178 + 4176*b132*b179 + 4176*b132*b180 + 5916*b132*b181 + 6148*b132*b182 + 
    8120*b132*b183 + 1624*b132*b184 + 7656*b132*b185 + 6148*b132*b186 + 8352*
    b132*b187 + 5104*b132*b188 + 812*b132*b189 + 11252*b132*b190 + 5916*b132*
    b192 + 3248*b132*b193 + 7192*b132*b194 + 232*b132*b195 + 5684*b132*b196 + 
    6148*b132*b197 + 3248*b132*b199 + 3596*b132*b200 + 3024*b132*b201 + 3024*
    b132*b202 + 4284*b132*b203 + 4452*b132*b204 + 5880*b132*b205 + 1176*b132*
    b206 + 5544*b132*b207 + 4452*b132*b208 + 6048*b132*b209 + 3696*b132*b210 + 
    588*b132*b211 + 8148*b132*b212 + 4284*b132*b214 + 2352*b132*b215 + 5208*
    b132*b216 + 168*b132*b217 + 4116*b132*b218 + 4452*b132*b219 + 2352*b132*
    b221 + 2604*b132*b222 + 6552*b132*b223 + 6552*b132*b224 + 9282*b132*b225 + 
    9646*b132*b226 + 12740*b132*b227 + 2548*b132*b228 + 12012*b132*b229 + 9646*
    b132*b230 + 13104*b132*b231 + 8008*b132*b232 + 1274*b132*b233 + 17654*b132*
    b234 + 9282*b132*b236 + 5096*b132*b237 + 11284*b132*b238 + 364*b132*b239 + 
    8918*b132*b240 + 9646*b132*b241 + 5096*b132*b243 + 5642*b132*b244 + 4032*
    b132*b245 + 4032*b132*b246 + 5712*b132*b247 + 5936*b132*b248 + 7840*b132*
    b249 + 1568*b132*b250 + 7392*b132*b251 + 5936*b132*b252 + 8064*b132*b253 + 
    4928*b132*b254 + 784*b132*b255 + 10864*b132*b256 + 5712*b132*b258 + 3136*
    b132*b259 + 6944*b132*b260 + 224*b132*b261 + 5488*b132*b262 + 5936*b132*
    b263 + 3136*b132*b265 + 3472*b132*b266 + 1944*b132*b267 + 1944*b132*b268 + 
    2754*b132*b269 + 2862*b132*b270 + 3780*b132*b271 + 756*b132*b272 + 3564*
    b132*b273 + 2862*b132*b274 + 3888*b132*b275 + 2376*b132*b276 + 378*b132*
    b277 + 5238*b132*b278 + 2754*b132*b280 + 1512*b132*b281 + 3348*b132*b282 + 
    108*b132*b283 + 2646*b132*b284 + 2862*b132*b285 + 1512*b132*b287 + 1674*
    b132*b288 + 4032*b132*b289 + 4032*b132*b290 + 5712*b132*b291 + 5936*b132*
    b292 + 7840*b132*b293 + 1568*b132*b294 + 7392*b132*b295 + 5936*b132*b296 + 
    8064*b132*b297 + 4928*b132*b298 + 784*b132*b299 + 10864*b132*b300 + 5712*
    b132*b302 + 3136*b132*b303 + 6944*b132*b304 + 224*b132*b305 + 5488*b132*
    b306 + 5936*b132*b307 + 3136*b132*b309 + 3472*b132*b310 + 2016*b132*b311 + 
    2016*b132*b312 + 2856*b132*b313 + 2968*b132*b314 + 3920*b132*b315 + 784*
    b132*b316 + 3696*b132*b317 + 2968*b132*b318 + 4032*b132*b319 + 2464*b132*
    b320 + 392*b132*b321 + 5432*b132*b322 + 2856*b132*b324 + 1568*b132*b325 + 
    3472*b132*b326 + 112*b132*b327 + 2744*b132*b328 + 2968*b132*b329 + 1568*
    b132*b331 + 1736*b132*b332 + 4608*b132*b333 + 4608*b132*b334 + 6528*b132*
    b335 + 6784*b132*b336 + 8960*b132*b337 + 1792*b132*b338 + 8448*b132*b339 + 
    6784*b132*b340 + 9216*b132*b341 + 5632*b132*b342 + 896*b132*b343 + 12416*
    b132*b344 + 6528*b132*b346 + 3584*b132*b347 + 7936*b132*b348 + 256*b132*
    b349 + 6272*b132*b350 + 6784*b132*b351 + 3584*b132*b353 + 3968*b132*b354 + 
    7056*b132*b355 + 7056*b132*b356 + 9996*b132*b357 + 10388*b132*b358 + 13720*
    b132*b359 + 2744*b132*b360 + 12936*b132*b361 + 10388*b132*b362 + 14112*b132
    *b363 + 8624*b132*b364 + 1372*b132*b365 + 19012*b132*b366 + 9996*b132*b368
     + 5488*b132*b369 + 12152*b132*b370 + 392*b132*b371 + 9604*b132*b372 + 
    10388*b132*b373 + 5488*b132*b375 + 6076*b132*b376 + 4968*b132*b377 + 4968*
    b132*b378 + 7038*b132*b379 + 7314*b132*b380 + 9660*b132*b381 + 1932*b132*
    b382 + 9108*b132*b383 + 7314*b132*b384 + 9936*b132*b385 + 6072*b132*b386 + 
    966*b132*b387 + 13386*b132*b388 + 7038*b132*b390 + 3864*b132*b391 + 8556*
    b132*b392 + 276*b132*b393 + 6762*b132*b394 + 7314*b132*b395 + 3864*b132*
    b397 + 4278*b132*b398 + 4968*b132*b399 + 4968*b132*b400 + 7038*b132*b401 + 
    7314*b132*b402 + 9660*b132*b403 + 1932*b132*b404 + 9108*b132*b405 + 7314*
    b132*b406 + 9936*b132*b407 + 6072*b132*b408 + 966*b132*b409 + 13386*b132*
    b410 + 7038*b132*b412 + 3864*b132*b413 + 8556*b132*b414 + 276*b132*b415 + 
    6762*b132*b416 + 7314*b132*b417 + 3864*b132*b419 + 4278*b132*b420 + 6696*
    b132*b421 + 6696*b132*b422 + 9486*b132*b423 + 9858*b132*b424 + 13020*b132*
    b425 + 2604*b132*b426 + 12276*b132*b427 + 9858*b132*b428 + 13392*b132*b429
     + 8184*b132*b430 + 1302*b132*b431 + 18042*b132*b432 + 9486*b132*b434 + 
    5208*b132*b435 + 11532*b132*b436 + 372*b132*b437 + 9114*b132*b438 + 9858*
    b132*b439 + 5208*b132*b441 + 5766*b132*b442 + 2520*b132*b443 + 2520*b132*
    b444 + 3570*b132*b445 + 3710*b132*b446 + 4900*b132*b447 + 980*b132*b448 + 
    4620*b132*b449 + 3710*b132*b450 + 5040*b132*b451 + 3080*b132*b452 + 490*
    b132*b453 + 6790*b132*b454 + 3570*b132*b456 + 1960*b132*b457 + 4340*b132*
    b458 + 140*b132*b459 + 3430*b132*b460 + 3710*b132*b461 + 1960*b132*b463 + 
    2170*b132*b464 + 2952*b132*b465 + 2952*b132*b466 + 4182*b132*b467 + 4346*
    b132*b468 + 5740*b132*b469 + 1148*b132*b470 + 5412*b132*b471 + 4346*b132*
    b472 + 5904*b132*b473 + 3608*b132*b474 + 574*b132*b475 + 7954*b132*b476 + 
    4182*b132*b478 + 2296*b132*b479 + 5084*b132*b480 + 164*b132*b481 + 4018*
    b132*b482 + 4346*b132*b483 + 2296*b132*b485 + 2542*b132*b486 + 4824*b132*
    b487 + 4824*b132*b488 + 6834*b132*b489 + 7102*b132*b490 + 9380*b132*b491 + 
    1876*b132*b492 + 8844*b132*b493 + 7102*b132*b494 + 9648*b132*b495 + 5896*
    b132*b496 + 938*b132*b497 + 12998*b132*b498 + 6834*b132*b500 + 3752*b132*
    b501 + 8308*b132*b502 + 268*b132*b503 + 6566*b132*b504 + 7102*b132*b505 + 
    3752*b132*b507 + 4154*b132*b508 + 864*b132*b509 + 864*b132*b510 + 1224*b132
    *b511 + 1272*b132*b512 + 1680*b132*b513 + 336*b132*b514 + 1584*b132*b515 + 
    1272*b132*b516 + 1728*b132*b517 + 1056*b132*b518 + 168*b132*b519 + 2328*
    b132*b520 + 1224*b132*b522 + 672*b132*b523 + 1488*b132*b524 + 48*b132*b525
     + 1176*b132*b526 + 1272*b132*b527 + 672*b132*b529 + 744*b132*b530 + 6290*
    b132*b531 + 5698*b132*b532 + 5550*b132*b533 + 13940*b132*b534 + 12628*b132*
    b535 + 12300*b132*b536 + 15470*b132*b537 + 14014*b132*b538 + 13650*b132*
    b539 + 170*b132*b540 + 154*b132*b541 + 150*b132*b542 + 3740*b132*b546 + 
    3388*b132*b547 + 3300*b132*b548 + 12070*b132*b549 + 10934*b132*b550 + 10650
    *b132*b551 + 9860*b132*b552 + 8932*b132*b553 + 8700*b132*b554 + 7140*b132*
    b555 + 6468*b132*b556 + 6300*b132*b557 + 15470*b132*b558 + 14014*b132*b559
     + 13650*b132*b560 + 9520*b132*b561 + 8624*b132*b562 + 8400*b132*b563 + 
    4590*b132*b564 + 4158*b132*b565 + 4050*b132*b566 + 9520*b132*b567 + 8624*
    b132*b568 + 8400*b132*b569 + 4760*b132*b570 + 4312*b132*b571 + 4200*b132*
    b572 + 10880*b132*b573 + 9856*b132*b574 + 9600*b132*b575 + 16660*b132*b576
     + 15092*b132*b577 + 14700*b132*b578 + 11730*b132*b579 + 10626*b132*b580 + 
    10350*b132*b581 + 11730*b132*b582 + 10626*b132*b583 + 10350*b132*b584 + 
    15810*b132*b585 + 14322*b132*b586 + 13950*b132*b587 + 5950*b132*b588 + 5390
    *b132*b589 + 5250*b132*b590 + 6970*b132*b591 + 6314*b132*b592 + 6150*b132*
    b593 + 11390*b132*b594 + 10318*b132*b595 + 10050*b132*b596 + 2040*b132*b597
     + 1848*b132*b598 + 1800*b132*b599 + 360*b132*b600 + 510*b132*b601 + 530*
    b132*b602 + 700*b132*b603 + 140*b132*b604 + 660*b132*b605 + 530*b132*b606
     + 720*b132*b607 + 440*b132*b608 + 70*b132*b609 + 970*b132*b610 + 510*b132*
    b612 + 280*b132*b613 + 770*b132*b614 + 620*b132*b615 + 20*b132*b616 + 490*
    b132*b617 + 530*b132*b618 + 280*b132*b620 + 310*b132*b621 + 750*b132*b622
     + 360*b132*b623 + 1530*b132*b624 + 1386*b132*b625 + 1350*b132*b626 + 924*
    b133*b135 + 1188*b133*b136 + 132*b133*b137 + 1628*b133*b138 + 4356*b133*
    b139 + 3916*b133*b140 + 2552*b133*b141 + 3388*b133*b142 + 308*b133*b143 + 
    1540*b133*b144 + 3828*b133*b145 + 1452*b133*b146 + 2112*b133*b147 + 2948*
    b133*b148 + 3344*b133*b149 + 3652*b133*b150 + 88*b133*b151 + 2684*b133*b152
     + 4224*b133*b153 + 1232*b133*b154 + 44*b133*b156 + 2982*b133*b157 + 3834*
    b133*b158 + 426*b133*b159 + 5254*b133*b160 + 14058*b133*b161 + 12638*b133*
    b162 + 8236*b133*b163 + 10934*b133*b164 + 994*b133*b165 + 4970*b133*b166 + 
    12354*b133*b167 + 4686*b133*b168 + 6816*b133*b169 + 9514*b133*b170 + 10792*
    b133*b171 + 11786*b133*b172 + 284*b133*b173 + 8662*b133*b174 + 13632*b133*
    b175 + 3976*b133*b176 + 142*b133*b178 + 2436*b133*b179 + 3132*b133*b180 + 
    348*b133*b181 + 4292*b133*b182 + 11484*b133*b183 + 10324*b133*b184 + 6728*
    b133*b185 + 8932*b133*b186 + 812*b133*b187 + 4060*b133*b188 + 10092*b133*
    b189 + 3828*b133*b190 + 5568*b133*b191 + 7772*b133*b192 + 8816*b133*b193 + 
    9628*b133*b194 + 232*b133*b195 + 7076*b133*b196 + 11136*b133*b197 + 3248*
    b133*b198 + 116*b133*b200 + 1764*b133*b201 + 2268*b133*b202 + 252*b133*b203
     + 3108*b133*b204 + 8316*b133*b205 + 7476*b133*b206 + 4872*b133*b207 + 6468
    *b133*b208 + 588*b133*b209 + 2940*b133*b210 + 7308*b133*b211 + 2772*b133*
    b212 + 4032*b133*b213 + 5628*b133*b214 + 6384*b133*b215 + 6972*b133*b216 + 
    168*b133*b217 + 5124*b133*b218 + 8064*b133*b219 + 2352*b133*b220 + 84*b133*
    b222 + 3822*b133*b223 + 4914*b133*b224 + 546*b133*b225 + 6734*b133*b226 + 
    18018*b133*b227 + 16198*b133*b228 + 10556*b133*b229 + 14014*b133*b230 + 
    1274*b133*b231 + 6370*b133*b232 + 15834*b133*b233 + 6006*b133*b234 + 8736*
    b133*b235 + 12194*b133*b236 + 13832*b133*b237 + 15106*b133*b238 + 364*b133*
    b239 + 11102*b133*b240 + 17472*b133*b241 + 5096*b133*b242 + 182*b133*b244
     + 2352*b133*b245 + 3024*b133*b246 + 336*b133*b247 + 4144*b133*b248 + 11088
    *b133*b249 + 9968*b133*b250 + 6496*b133*b251 + 8624*b133*b252 + 784*b133*
    b253 + 3920*b133*b254 + 9744*b133*b255 + 3696*b133*b256 + 5376*b133*b257 + 
    7504*b133*b258 + 8512*b133*b259 + 9296*b133*b260 + 224*b133*b261 + 6832*
    b133*b262 + 10752*b133*b263 + 3136*b133*b264 + 112*b133*b266 + 1134*b133*
    b267 + 1458*b133*b268 + 162*b133*b269 + 1998*b133*b270 + 5346*b133*b271 + 
    4806*b133*b272 + 3132*b133*b273 + 4158*b133*b274 + 378*b133*b275 + 1890*
    b133*b276 + 4698*b133*b277 + 1782*b133*b278 + 2592*b133*b279 + 3618*b133*
    b280 + 4104*b133*b281 + 4482*b133*b282 + 108*b133*b283 + 3294*b133*b284 + 
    5184*b133*b285 + 1512*b133*b286 + 54*b133*b288 + 2352*b133*b289 + 3024*b133
    *b290 + 336*b133*b291 + 4144*b133*b292 + 11088*b133*b293 + 9968*b133*b294
     + 6496*b133*b295 + 8624*b133*b296 + 784*b133*b297 + 3920*b133*b298 + 9744*
    b133*b299 + 3696*b133*b300 + 5376*b133*b301 + 7504*b133*b302 + 8512*b133*
    b303 + 9296*b133*b304 + 224*b133*b305 + 6832*b133*b306 + 10752*b133*b307 + 
    3136*b133*b308 + 112*b133*b310 + 1176*b133*b311 + 1512*b133*b312 + 168*b133
    *b313 + 2072*b133*b314 + 5544*b133*b315 + 4984*b133*b316 + 3248*b133*b317
     + 4312*b133*b318 + 392*b133*b319 + 1960*b133*b320 + 4872*b133*b321 + 1848*
    b133*b322 + 2688*b133*b323 + 3752*b133*b324 + 4256*b133*b325 + 4648*b133*
    b326 + 112*b133*b327 + 3416*b133*b328 + 5376*b133*b329 + 1568*b133*b330 + 
    56*b133*b332 + 2688*b133*b333 + 3456*b133*b334 + 384*b133*b335 + 4736*b133*
    b336 + 12672*b133*b337 + 11392*b133*b338 + 7424*b133*b339 + 9856*b133*b340
     + 896*b133*b341 + 4480*b133*b342 + 11136*b133*b343 + 4224*b133*b344 + 6144
    *b133*b345 + 8576*b133*b346 + 9728*b133*b347 + 10624*b133*b348 + 256*b133*
    b349 + 7808*b133*b350 + 12288*b133*b351 + 3584*b133*b352 + 128*b133*b354 + 
    4116*b133*b355 + 5292*b133*b356 + 588*b133*b357 + 7252*b133*b358 + 19404*
    b133*b359 + 17444*b133*b360 + 11368*b133*b361 + 15092*b133*b362 + 1372*b133
    *b363 + 6860*b133*b364 + 17052*b133*b365 + 6468*b133*b366 + 9408*b133*b367
     + 13132*b133*b368 + 14896*b133*b369 + 16268*b133*b370 + 392*b133*b371 + 
    11956*b133*b372 + 18816*b133*b373 + 5488*b133*b374 + 196*b133*b376 + 2898*
    b133*b377 + 3726*b133*b378 + 414*b133*b379 + 5106*b133*b380 + 13662*b133*
    b381 + 12282*b133*b382 + 8004*b133*b383 + 10626*b133*b384 + 966*b133*b385
     + 4830*b133*b386 + 12006*b133*b387 + 4554*b133*b388 + 6624*b133*b389 + 
    9246*b133*b390 + 10488*b133*b391 + 11454*b133*b392 + 276*b133*b393 + 8418*
    b133*b394 + 13248*b133*b395 + 3864*b133*b396 + 138*b133*b398 + 2898*b133*
    b399 + 3726*b133*b400 + 414*b133*b401 + 5106*b133*b402 + 13662*b133*b403 + 
    12282*b133*b404 + 8004*b133*b405 + 10626*b133*b406 + 966*b133*b407 + 4830*
    b133*b408 + 12006*b133*b409 + 4554*b133*b410 + 6624*b133*b411 + 9246*b133*
    b412 + 10488*b133*b413 + 11454*b133*b414 + 276*b133*b415 + 8418*b133*b416
     + 13248*b133*b417 + 3864*b133*b418 + 138*b133*b420 + 3906*b133*b421 + 5022
    *b133*b422 + 558*b133*b423 + 6882*b133*b424 + 18414*b133*b425 + 16554*b133*
    b426 + 10788*b133*b427 + 14322*b133*b428 + 1302*b133*b429 + 6510*b133*b430
     + 16182*b133*b431 + 6138*b133*b432 + 8928*b133*b433 + 12462*b133*b434 + 
    14136*b133*b435 + 15438*b133*b436 + 372*b133*b437 + 11346*b133*b438 + 17856
    *b133*b439 + 5208*b133*b440 + 186*b133*b442 + 1470*b133*b443 + 1890*b133*
    b444 + 210*b133*b445 + 2590*b133*b446 + 6930*b133*b447 + 6230*b133*b448 + 
    4060*b133*b449 + 5390*b133*b450 + 490*b133*b451 + 2450*b133*b452 + 6090*
    b133*b453 + 2310*b133*b454 + 3360*b133*b455 + 4690*b133*b456 + 5320*b133*
    b457 + 5810*b133*b458 + 140*b133*b459 + 4270*b133*b460 + 6720*b133*b461 + 
    1960*b133*b462 + 70*b133*b464 + 1722*b133*b465 + 2214*b133*b466 + 246*b133*
    b467 + 3034*b133*b468 + 8118*b133*b469 + 7298*b133*b470 + 4756*b133*b471 + 
    6314*b133*b472 + 574*b133*b473 + 2870*b133*b474 + 7134*b133*b475 + 2706*
    b133*b476 + 3936*b133*b477 + 5494*b133*b478 + 6232*b133*b479 + 6806*b133*
    b480 + 164*b133*b481 + 5002*b133*b482 + 7872*b133*b483 + 2296*b133*b484 + 
    82*b133*b486 + 2814*b133*b487 + 3618*b133*b488 + 402*b133*b489 + 4958*b133*
    b490 + 13266*b133*b491 + 11926*b133*b492 + 7772*b133*b493 + 10318*b133*b494
     + 938*b133*b495 + 4690*b133*b496 + 11658*b133*b497 + 4422*b133*b498 + 6432
    *b133*b499 + 8978*b133*b500 + 10184*b133*b501 + 11122*b133*b502 + 268*b133*
    b503 + 8174*b133*b504 + 12864*b133*b505 + 3752*b133*b506 + 134*b133*b508 + 
    504*b133*b509 + 648*b133*b510 + 72*b133*b511 + 888*b133*b512 + 2376*b133*
    b513 + 2136*b133*b514 + 1392*b133*b515 + 1848*b133*b516 + 168*b133*b517 + 
    840*b133*b518 + 2088*b133*b519 + 792*b133*b520 + 1152*b133*b521 + 1608*b133
    *b522 + 1824*b133*b523 + 1992*b133*b524 + 48*b133*b525 + 1464*b133*b526 + 
    2304*b133*b527 + 672*b133*b528 + 24*b133*b530 + 6216*b133*b531 + 3256*b133*
    b532 + 7030*b133*b533 + 13776*b133*b534 + 7216*b133*b535 + 15580*b133*b536
     + 15288*b133*b537 + 8008*b133*b538 + 17290*b133*b539 + 168*b133*b540 + 88*
    b133*b541 + 190*b133*b542 + 3696*b133*b546 + 1936*b133*b547 + 4180*b133*
    b548 + 11928*b133*b549 + 6248*b133*b550 + 13490*b133*b551 + 9744*b133*b552
     + 5104*b133*b553 + 11020*b133*b554 + 7056*b133*b555 + 3696*b133*b556 + 
    7980*b133*b557 + 15288*b133*b558 + 8008*b133*b559 + 17290*b133*b560 + 9408*
    b133*b561 + 4928*b133*b562 + 10640*b133*b563 + 4536*b133*b564 + 2376*b133*
    b565 + 5130*b133*b566 + 9408*b133*b567 + 4928*b133*b568 + 10640*b133*b569
     + 4704*b133*b570 + 2464*b133*b571 + 5320*b133*b572 + 10752*b133*b573 + 
    5632*b133*b574 + 12160*b133*b575 + 16464*b133*b576 + 8624*b133*b577 + 18620
    *b133*b578 + 11592*b133*b579 + 6072*b133*b580 + 13110*b133*b581 + 11592*
    b133*b582 + 6072*b133*b583 + 13110*b133*b584 + 15624*b133*b585 + 8184*b133*
    b586 + 17670*b133*b587 + 5880*b133*b588 + 3080*b133*b589 + 6650*b133*b590
     + 6888*b133*b591 + 3608*b133*b592 + 7790*b133*b593 + 11256*b133*b594 + 
    5896*b133*b595 + 12730*b133*b596 + 2016*b133*b597 + 1056*b133*b598 + 2280*
    b133*b599 + 270*b133*b600 + 30*b133*b601 + 370*b133*b602 + 990*b133*b603 + 
    890*b133*b604 + 580*b133*b605 + 770*b133*b606 + 70*b133*b607 + 350*b133*
    b608 + 870*b133*b609 + 330*b133*b610 + 480*b133*b611 + 670*b133*b612 + 760*
    b133*b613 + 440*b133*b614 + 830*b133*b615 + 20*b133*b616 + 610*b133*b617 + 
    960*b133*b618 + 280*b133*b619 + 10*b133*b621 + 950*b133*b622 + 210*b133*
    b623 + 1512*b133*b624 + 792*b133*b625 + 1710*b133*b626 + 3124*b134*b135 + 
    3740*b134*b136 + 2112*b134*b137 + 1144*b134*b138 + 2640*b134*b139 + 1936*
    b134*b140 + 1320*b134*b141 + 2200*b134*b142 + 2156*b134*b143 + 132*b134*
    b144 + 2992*b134*b145 + 1540*b134*b146 + 2728*b134*b147 + 1716*b134*b148 + 
    2904*b134*b149 + 4004*b134*b150 + 1892*b134*b151 + 220*b134*b152 + 3608*
    b134*b153 + 1364*b134*b154 + 44*b134*b155 + 10082*b134*b157 + 12070*b134*
    b158 + 6816*b134*b159 + 3692*b134*b160 + 8520*b134*b161 + 6248*b134*b162 + 
    4260*b134*b163 + 7100*b134*b164 + 6958*b134*b165 + 426*b134*b166 + 9656*
    b134*b167 + 4970*b134*b168 + 8804*b134*b169 + 5538*b134*b170 + 9372*b134*
    b171 + 12922*b134*b172 + 6106*b134*b173 + 710*b134*b174 + 11644*b134*b175
     + 4402*b134*b176 + 142*b134*b177 + 8236*b134*b179 + 9860*b134*b180 + 5568*
    b134*b181 + 3016*b134*b182 + 6960*b134*b183 + 5104*b134*b184 + 3480*b134*
    b185 + 5800*b134*b186 + 5684*b134*b187 + 348*b134*b188 + 7888*b134*b189 + 
    4060*b134*b190 + 7192*b134*b191 + 4524*b134*b192 + 7656*b134*b193 + 10556*
    b134*b194 + 4988*b134*b195 + 580*b134*b196 + 9512*b134*b197 + 3596*b134*
    b198 + 116*b134*b199 + 5964*b134*b201 + 7140*b134*b202 + 4032*b134*b203 + 
    2184*b134*b204 + 5040*b134*b205 + 3696*b134*b206 + 2520*b134*b207 + 4200*
    b134*b208 + 4116*b134*b209 + 252*b134*b210 + 5712*b134*b211 + 2940*b134*
    b212 + 5208*b134*b213 + 3276*b134*b214 + 5544*b134*b215 + 7644*b134*b216 + 
    3612*b134*b217 + 420*b134*b218 + 6888*b134*b219 + 2604*b134*b220 + 84*b134*
    b221 + 12922*b134*b223 + 15470*b134*b224 + 8736*b134*b225 + 4732*b134*b226
     + 10920*b134*b227 + 8008*b134*b228 + 5460*b134*b229 + 9100*b134*b230 + 
    8918*b134*b231 + 546*b134*b232 + 12376*b134*b233 + 6370*b134*b234 + 11284*
    b134*b235 + 7098*b134*b236 + 12012*b134*b237 + 16562*b134*b238 + 7826*b134*
    b239 + 910*b134*b240 + 14924*b134*b241 + 5642*b134*b242 + 182*b134*b243 + 
    7952*b134*b245 + 9520*b134*b246 + 5376*b134*b247 + 2912*b134*b248 + 6720*
    b134*b249 + 4928*b134*b250 + 3360*b134*b251 + 5600*b134*b252 + 5488*b134*
    b253 + 336*b134*b254 + 7616*b134*b255 + 3920*b134*b256 + 6944*b134*b257 + 
    4368*b134*b258 + 7392*b134*b259 + 10192*b134*b260 + 4816*b134*b261 + 560*
    b134*b262 + 9184*b134*b263 + 3472*b134*b264 + 112*b134*b265 + 3834*b134*
    b267 + 4590*b134*b268 + 2592*b134*b269 + 1404*b134*b270 + 3240*b134*b271 + 
    2376*b134*b272 + 1620*b134*b273 + 2700*b134*b274 + 2646*b134*b275 + 162*
    b134*b276 + 3672*b134*b277 + 1890*b134*b278 + 3348*b134*b279 + 2106*b134*
    b280 + 3564*b134*b281 + 4914*b134*b282 + 2322*b134*b283 + 270*b134*b284 + 
    4428*b134*b285 + 1674*b134*b286 + 54*b134*b287 + 7952*b134*b289 + 9520*b134
    *b290 + 5376*b134*b291 + 2912*b134*b292 + 6720*b134*b293 + 4928*b134*b294
     + 3360*b134*b295 + 5600*b134*b296 + 5488*b134*b297 + 336*b134*b298 + 7616*
    b134*b299 + 3920*b134*b300 + 6944*b134*b301 + 4368*b134*b302 + 7392*b134*
    b303 + 10192*b134*b304 + 4816*b134*b305 + 560*b134*b306 + 9184*b134*b307 + 
    3472*b134*b308 + 112*b134*b309 + 3976*b134*b311 + 4760*b134*b312 + 2688*
    b134*b313 + 1456*b134*b314 + 3360*b134*b315 + 2464*b134*b316 + 1680*b134*
    b317 + 2800*b134*b318 + 2744*b134*b319 + 168*b134*b320 + 3808*b134*b321 + 
    1960*b134*b322 + 3472*b134*b323 + 2184*b134*b324 + 3696*b134*b325 + 5096*
    b134*b326 + 2408*b134*b327 + 280*b134*b328 + 4592*b134*b329 + 1736*b134*
    b330 + 56*b134*b331 + 9088*b134*b333 + 10880*b134*b334 + 6144*b134*b335 + 
    3328*b134*b336 + 7680*b134*b337 + 5632*b134*b338 + 3840*b134*b339 + 6400*
    b134*b340 + 6272*b134*b341 + 384*b134*b342 + 8704*b134*b343 + 4480*b134*
    b344 + 7936*b134*b345 + 4992*b134*b346 + 8448*b134*b347 + 11648*b134*b348
     + 5504*b134*b349 + 640*b134*b350 + 10496*b134*b351 + 3968*b134*b352 + 128*
    b134*b353 + 13916*b134*b355 + 16660*b134*b356 + 9408*b134*b357 + 5096*b134*
    b358 + 11760*b134*b359 + 8624*b134*b360 + 5880*b134*b361 + 9800*b134*b362
     + 9604*b134*b363 + 588*b134*b364 + 13328*b134*b365 + 6860*b134*b366 + 
    12152*b134*b367 + 7644*b134*b368 + 12936*b134*b369 + 17836*b134*b370 + 8428
    *b134*b371 + 980*b134*b372 + 16072*b134*b373 + 6076*b134*b374 + 196*b134*
    b375 + 9798*b134*b377 + 11730*b134*b378 + 6624*b134*b379 + 3588*b134*b380
     + 8280*b134*b381 + 6072*b134*b382 + 4140*b134*b383 + 6900*b134*b384 + 6762
    *b134*b385 + 414*b134*b386 + 9384*b134*b387 + 4830*b134*b388 + 8556*b134*
    b389 + 5382*b134*b390 + 9108*b134*b391 + 12558*b134*b392 + 5934*b134*b393
     + 690*b134*b394 + 11316*b134*b395 + 4278*b134*b396 + 138*b134*b397 + 9798*
    b134*b399 + 11730*b134*b400 + 6624*b134*b401 + 3588*b134*b402 + 8280*b134*
    b403 + 6072*b134*b404 + 4140*b134*b405 + 6900*b134*b406 + 6762*b134*b407 + 
    414*b134*b408 + 9384*b134*b409 + 4830*b134*b410 + 8556*b134*b411 + 5382*
    b134*b412 + 9108*b134*b413 + 12558*b134*b414 + 5934*b134*b415 + 690*b134*
    b416 + 11316*b134*b417 + 4278*b134*b418 + 138*b134*b419 + 13206*b134*b421
     + 15810*b134*b422 + 8928*b134*b423 + 4836*b134*b424 + 11160*b134*b425 + 
    8184*b134*b426 + 5580*b134*b427 + 9300*b134*b428 + 9114*b134*b429 + 558*
    b134*b430 + 12648*b134*b431 + 6510*b134*b432 + 11532*b134*b433 + 7254*b134*
    b434 + 12276*b134*b435 + 16926*b134*b436 + 7998*b134*b437 + 930*b134*b438
     + 15252*b134*b439 + 5766*b134*b440 + 186*b134*b441 + 4970*b134*b443 + 5950
    *b134*b444 + 3360*b134*b445 + 1820*b134*b446 + 4200*b134*b447 + 3080*b134*
    b448 + 2100*b134*b449 + 3500*b134*b450 + 3430*b134*b451 + 210*b134*b452 + 
    4760*b134*b453 + 2450*b134*b454 + 4340*b134*b455 + 2730*b134*b456 + 4620*
    b134*b457 + 6370*b134*b458 + 3010*b134*b459 + 350*b134*b460 + 5740*b134*
    b461 + 2170*b134*b462 + 70*b134*b463 + 5822*b134*b465 + 6970*b134*b466 + 
    3936*b134*b467 + 2132*b134*b468 + 4920*b134*b469 + 3608*b134*b470 + 2460*
    b134*b471 + 4100*b134*b472 + 4018*b134*b473 + 246*b134*b474 + 5576*b134*
    b475 + 2870*b134*b476 + 5084*b134*b477 + 3198*b134*b478 + 5412*b134*b479 + 
    7462*b134*b480 + 3526*b134*b481 + 410*b134*b482 + 6724*b134*b483 + 2542*
    b134*b484 + 82*b134*b485 + 9514*b134*b487 + 11390*b134*b488 + 6432*b134*
    b489 + 3484*b134*b490 + 8040*b134*b491 + 5896*b134*b492 + 4020*b134*b493 + 
    6700*b134*b494 + 6566*b134*b495 + 402*b134*b496 + 9112*b134*b497 + 4690*
    b134*b498 + 8308*b134*b499 + 5226*b134*b500 + 8844*b134*b501 + 12194*b134*
    b502 + 5762*b134*b503 + 670*b134*b504 + 10988*b134*b505 + 4154*b134*b506 + 
    134*b134*b507 + 1704*b134*b509 + 2040*b134*b510 + 1152*b134*b511 + 624*b134
    *b512 + 1440*b134*b513 + 1056*b134*b514 + 720*b134*b515 + 1200*b134*b516 + 
    1176*b134*b517 + 72*b134*b518 + 1632*b134*b519 + 840*b134*b520 + 1488*b134*
    b521 + 936*b134*b522 + 1584*b134*b523 + 2184*b134*b524 + 1032*b134*b525 + 
    120*b134*b526 + 1968*b134*b527 + 744*b134*b528 + 24*b134*b529 + 888*b134*
    b531 + 1924*b134*b532 + 518*b134*b533 + 1968*b134*b534 + 4264*b134*b535 + 
    1148*b134*b536 + 2184*b134*b537 + 4732*b134*b538 + 1274*b134*b539 + 24*b134
    *b540 + 52*b134*b541 + 14*b134*b542 + 528*b134*b546 + 1144*b134*b547 + 308*
    b134*b548 + 1704*b134*b549 + 3692*b134*b550 + 994*b134*b551 + 1392*b134*
    b552 + 3016*b134*b553 + 812*b134*b554 + 1008*b134*b555 + 2184*b134*b556 + 
    588*b134*b557 + 2184*b134*b558 + 4732*b134*b559 + 1274*b134*b560 + 1344*
    b134*b561 + 2912*b134*b562 + 784*b134*b563 + 648*b134*b564 + 1404*b134*b565
     + 378*b134*b566 + 1344*b134*b567 + 2912*b134*b568 + 784*b134*b569 + 672*
    b134*b570 + 1456*b134*b571 + 392*b134*b572 + 1536*b134*b573 + 3328*b134*
    b574 + 896*b134*b575 + 2352*b134*b576 + 5096*b134*b577 + 1372*b134*b578 + 
    1656*b134*b579 + 3588*b134*b580 + 966*b134*b581 + 1656*b134*b582 + 3588*
    b134*b583 + 966*b134*b584 + 2232*b134*b585 + 4836*b134*b586 + 1302*b134*
    b587 + 840*b134*b588 + 1820*b134*b589 + 490*b134*b590 + 984*b134*b591 + 
    2132*b134*b592 + 574*b134*b593 + 1608*b134*b594 + 3484*b134*b595 + 938*b134
    *b596 + 288*b134*b597 + 624*b134*b598 + 168*b134*b599 + 850*b134*b600 + 480
    *b134*b601 + 260*b134*b602 + 600*b134*b603 + 440*b134*b604 + 300*b134*b605
     + 500*b134*b606 + 490*b134*b607 + 30*b134*b608 + 680*b134*b609 + 350*b134*
    b610 + 620*b134*b611 + 390*b134*b612 + 660*b134*b613 + 260*b134*b614 + 910*
    b134*b615 + 430*b134*b616 + 50*b134*b617 + 820*b134*b618 + 310*b134*b619 + 
    10*b134*b620 + 70*b134*b622 + 710*b134*b623 + 216*b134*b624 + 468*b134*b625
     + 126*b134*b626 + 1716*b135*b158 + 6006*b135*b159 + 726*b135*b160 + 2310*
    b135*b161 + 5412*b135*b162 + 1716*b135*b163 + 4554*b135*b164 + 3696*b135*
    b165 + 5676*b135*b166 + 2970*b135*b167 + 6006*b135*b168 + 3894*b135*b169 + 
    1188*b135*b170 + 5016*b135*b171 + 1188*b135*b172 + 3762*b135*b173 + 2376*
    b135*b174 + 4026*b135*b175 + 2376*b135*b176 + 1386*b135*b177 + 4686*b135*
    b178 + 52*b135*b180 + 182*b135*b181 + 22*b135*b182 + 70*b135*b183 + 164*
    b135*b184 + 52*b135*b185 + 138*b135*b186 + 112*b135*b187 + 172*b135*b188 + 
    90*b135*b189 + 182*b135*b190 + 118*b135*b191 + 36*b135*b192 + 152*b135*b193
     + 36*b135*b194 + 114*b135*b195 + 72*b135*b196 + 122*b135*b197 + 72*b135*
    b198 + 42*b135*b199 + 142*b135*b200 + 3692*b135*b202 + 12922*b135*b203 + 
    1562*b135*b204 + 4970*b135*b205 + 11644*b135*b206 + 3692*b135*b207 + 9798*
    b135*b208 + 7952*b135*b209 + 12212*b135*b210 + 6390*b135*b211 + 12922*b135*
    b212 + 8378*b135*b213 + 2556*b135*b214 + 10792*b135*b215 + 2556*b135*b216
     + 8094*b135*b217 + 5112*b135*b218 + 8662*b135*b219 + 5112*b135*b220 + 2982
    *b135*b221 + 10082*b135*b222 + 3744*b135*b224 + 13104*b135*b225 + 1584*b135
    *b226 + 5040*b135*b227 + 11808*b135*b228 + 3744*b135*b229 + 9936*b135*b230
     + 8064*b135*b231 + 12384*b135*b232 + 6480*b135*b233 + 13104*b135*b234 + 
    8496*b135*b235 + 2592*b135*b236 + 10944*b135*b237 + 2592*b135*b238 + 8208*
    b135*b239 + 5184*b135*b240 + 8784*b135*b241 + 5184*b135*b242 + 3024*b135*
    b243 + 10224*b135*b244 + 1352*b135*b246 + 4732*b135*b247 + 572*b135*b248 + 
    1820*b135*b249 + 4264*b135*b250 + 1352*b135*b251 + 3588*b135*b252 + 2912*
    b135*b253 + 4472*b135*b254 + 2340*b135*b255 + 4732*b135*b256 + 3068*b135*
    b257 + 936*b135*b258 + 3952*b135*b259 + 936*b135*b260 + 2964*b135*b261 + 
    1872*b135*b262 + 3172*b135*b263 + 1872*b135*b264 + 1092*b135*b265 + 3692*
    b135*b266 + 4472*b135*b268 + 15652*b135*b269 + 1892*b135*b270 + 6020*b135*
    b271 + 14104*b135*b272 + 4472*b135*b273 + 11868*b135*b274 + 9632*b135*b275
     + 14792*b135*b276 + 7740*b135*b277 + 15652*b135*b278 + 10148*b135*b279 + 
    3096*b135*b280 + 13072*b135*b281 + 3096*b135*b282 + 9804*b135*b283 + 6192*
    b135*b284 + 10492*b135*b285 + 6192*b135*b286 + 3612*b135*b287 + 12212*b135*
    b288 + 3484*b135*b290 + 12194*b135*b291 + 1474*b135*b292 + 4690*b135*b293
     + 10988*b135*b294 + 3484*b135*b295 + 9246*b135*b296 + 7504*b135*b297 + 
    11524*b135*b298 + 6030*b135*b299 + 12194*b135*b300 + 7906*b135*b301 + 2412*
    b135*b302 + 10184*b135*b303 + 2412*b135*b304 + 7638*b135*b305 + 4824*b135*
    b306 + 8174*b135*b307 + 4824*b135*b308 + 2814*b135*b309 + 9514*b135*b310 + 
    3484*b135*b312 + 12194*b135*b313 + 1474*b135*b314 + 4690*b135*b315 + 10988*
    b135*b316 + 3484*b135*b317 + 9246*b135*b318 + 7504*b135*b319 + 11524*b135*
    b320 + 6030*b135*b321 + 12194*b135*b322 + 7906*b135*b323 + 2412*b135*b324
     + 10184*b135*b325 + 2412*b135*b326 + 7638*b135*b327 + 4824*b135*b328 + 
    8174*b135*b329 + 4824*b135*b330 + 2814*b135*b331 + 9514*b135*b332 + 1248*
    b135*b334 + 4368*b135*b335 + 528*b135*b336 + 1680*b135*b337 + 3936*b135*
    b338 + 1248*b135*b339 + 3312*b135*b340 + 2688*b135*b341 + 4128*b135*b342 + 
    2160*b135*b343 + 4368*b135*b344 + 2832*b135*b345 + 864*b135*b346 + 3648*
    b135*b347 + 864*b135*b348 + 2736*b135*b349 + 1728*b135*b350 + 2928*b135*
    b351 + 1728*b135*b352 + 1008*b135*b353 + 3408*b135*b354 + 520*b135*b356 + 
    1820*b135*b357 + 220*b135*b358 + 700*b135*b359 + 1640*b135*b360 + 520*b135*
    b361 + 1380*b135*b362 + 1120*b135*b363 + 1720*b135*b364 + 900*b135*b365 + 
    1820*b135*b366 + 1180*b135*b367 + 360*b135*b368 + 1520*b135*b369 + 360*b135
    *b370 + 1140*b135*b371 + 720*b135*b372 + 1220*b135*b373 + 720*b135*b374 + 
    420*b135*b375 + 1420*b135*b376 + 2392*b135*b378 + 8372*b135*b379 + 1012*
    b135*b380 + 3220*b135*b381 + 7544*b135*b382 + 2392*b135*b383 + 6348*b135*
    b384 + 5152*b135*b385 + 7912*b135*b386 + 4140*b135*b387 + 8372*b135*b388 + 
    5428*b135*b389 + 1656*b135*b390 + 6992*b135*b391 + 1656*b135*b392 + 5244*
    b135*b393 + 3312*b135*b394 + 5612*b135*b395 + 3312*b135*b396 + 1932*b135*
    b397 + 6532*b135*b398 + 2912*b135*b400 + 10192*b135*b401 + 1232*b135*b402
     + 3920*b135*b403 + 9184*b135*b404 + 2912*b135*b405 + 7728*b135*b406 + 6272
    *b135*b407 + 9632*b135*b408 + 5040*b135*b409 + 10192*b135*b410 + 6608*b135*
    b411 + 2016*b135*b412 + 8512*b135*b413 + 2016*b135*b414 + 6384*b135*b415 + 
    4032*b135*b416 + 6832*b135*b417 + 4032*b135*b418 + 2352*b135*b419 + 7952*
    b135*b420 + 2912*b135*b422 + 10192*b135*b423 + 1232*b135*b424 + 3920*b135*
    b425 + 9184*b135*b426 + 2912*b135*b427 + 7728*b135*b428 + 6272*b135*b429 + 
    9632*b135*b430 + 5040*b135*b431 + 10192*b135*b432 + 6608*b135*b433 + 2016*
    b135*b434 + 8512*b135*b435 + 2016*b135*b436 + 6384*b135*b437 + 4032*b135*
    b438 + 6832*b135*b439 + 4032*b135*b440 + 2352*b135*b441 + 7952*b135*b442 + 
    3588*b135*b444 + 12558*b135*b445 + 1518*b135*b446 + 4830*b135*b447 + 11316*
    b135*b448 + 3588*b135*b449 + 9522*b135*b450 + 7728*b135*b451 + 11868*b135*
    b452 + 6210*b135*b453 + 12558*b135*b454 + 8142*b135*b455 + 2484*b135*b456
     + 10488*b135*b457 + 2484*b135*b458 + 7866*b135*b459 + 4968*b135*b460 + 
    8418*b135*b461 + 4968*b135*b462 + 2898*b135*b463 + 9798*b135*b464 + 2756*
    b135*b466 + 9646*b135*b467 + 1166*b135*b468 + 3710*b135*b469 + 8692*b135*
    b470 + 2756*b135*b471 + 7314*b135*b472 + 5936*b135*b473 + 9116*b135*b474 + 
    4770*b135*b475 + 9646*b135*b476 + 6254*b135*b477 + 1908*b135*b478 + 8056*
    b135*b479 + 1908*b135*b480 + 6042*b135*b481 + 3816*b135*b482 + 6466*b135*
    b483 + 3816*b135*b484 + 2226*b135*b485 + 7526*b135*b486 + 2496*b135*b488 + 
    8736*b135*b489 + 1056*b135*b490 + 3360*b135*b491 + 7872*b135*b492 + 2496*
    b135*b493 + 6624*b135*b494 + 5376*b135*b495 + 8256*b135*b496 + 4320*b135*
    b497 + 8736*b135*b498 + 5664*b135*b499 + 1728*b135*b500 + 7296*b135*b501 + 
    1728*b135*b502 + 5472*b135*b503 + 3456*b135*b504 + 5856*b135*b505 + 3456*
    b135*b506 + 2016*b135*b507 + 6816*b135*b508 + 3848*b135*b510 + 13468*b135*
    b511 + 1628*b135*b512 + 5180*b135*b513 + 12136*b135*b514 + 3848*b135*b515
     + 10212*b135*b516 + 8288*b135*b517 + 12728*b135*b518 + 6660*b135*b519 + 
    13468*b135*b520 + 8732*b135*b521 + 2664*b135*b522 + 11248*b135*b523 + 2664*
    b135*b524 + 8436*b135*b525 + 5328*b135*b526 + 9028*b135*b527 + 5328*b135*
    b528 + 3108*b135*b529 + 10508*b135*b530 + 2982*b135*b534 + 5538*b135*b535
     + 1562*b135*b536 + 2646*b135*b537 + 4914*b135*b538 + 1386*b135*b539 + 1848
    *b135*b540 + 3432*b135*b541 + 968*b135*b542 + 924*b135*b543 + 1716*b135*
    b544 + 484*b135*b545 + 1386*b135*b549 + 2574*b135*b550 + 726*b135*b551 + 42
    *b135*b552 + 78*b135*b553 + 22*b135*b554 + 2982*b135*b555 + 5538*b135*b556
     + 1562*b135*b557 + 3024*b135*b558 + 5616*b135*b559 + 1584*b135*b560 + 1092
    *b135*b561 + 2028*b135*b562 + 572*b135*b563 + 3612*b135*b564 + 6708*b135*
    b565 + 1892*b135*b566 + 2814*b135*b567 + 5226*b135*b568 + 1474*b135*b569 + 
    2814*b135*b570 + 5226*b135*b571 + 1474*b135*b572 + 1008*b135*b573 + 1872*
    b135*b574 + 528*b135*b575 + 420*b135*b576 + 780*b135*b577 + 220*b135*b578
     + 1932*b135*b579 + 3588*b135*b580 + 1012*b135*b581 + 2352*b135*b582 + 4368
    *b135*b583 + 1232*b135*b584 + 2352*b135*b585 + 4368*b135*b586 + 1232*b135*
    b587 + 2898*b135*b588 + 5382*b135*b589 + 1518*b135*b590 + 2226*b135*b591 + 
    4134*b135*b592 + 1166*b135*b593 + 2016*b135*b594 + 3744*b135*b595 + 1056*
    b135*b596 + 3108*b135*b597 + 5772*b135*b598 + 1628*b135*b599 + 2028*b135*
    b600 + 7098*b135*b601 + 858*b135*b602 + 2730*b135*b603 + 6396*b135*b604 + 
    2028*b135*b605 + 5382*b135*b606 + 4368*b135*b607 + 6708*b135*b608 + 3510*
    b135*b609 + 7098*b135*b610 + 4602*b135*b611 + 1404*b135*b612 + 5928*b135*
    b613 + 3042*b135*b614 + 1404*b135*b615 + 4446*b135*b616 + 2808*b135*b617 + 
    4758*b135*b618 + 2808*b135*b619 + 1638*b135*b620 + 5538*b135*b621 + 858*
    b135*b622 + 4032*b135*b624 + 7488*b135*b625 + 2112*b135*b626 + 1716*b136*
    b157 + 1914*b136*b159 + 5412*b136*b160 + 5412*b136*b161 + 396*b136*b162 + 
    4686*b136*b163 + 528*b136*b164 + 5082*b136*b165 + 4884*b136*b166 + 1980*
    b136*b167 + 5874*b136*b168 + 5016*b136*b169 + 5016*b136*b170 + 2640*b136*
    b171 + 3696*b136*b172 + 66*b136*b173 + 3300*b136*b174 + 264*b136*b175 + 
    2376*b136*b176 + 1782*b136*b177 + 5610*b136*b178 + 52*b136*b179 + 58*b136*
    b181 + 164*b136*b182 + 164*b136*b183 + 12*b136*b184 + 142*b136*b185 + 16*
    b136*b186 + 154*b136*b187 + 148*b136*b188 + 60*b136*b189 + 178*b136*b190 + 
    152*b136*b191 + 152*b136*b192 + 80*b136*b193 + 112*b136*b194 + 2*b136*b195
     + 100*b136*b196 + 8*b136*b197 + 72*b136*b198 + 54*b136*b199 + 170*b136*
    b200 + 3692*b136*b201 + 4118*b136*b203 + 11644*b136*b204 + 11644*b136*b205
     + 852*b136*b206 + 10082*b136*b207 + 1136*b136*b208 + 10934*b136*b209 + 
    10508*b136*b210 + 4260*b136*b211 + 12638*b136*b212 + 10792*b136*b213 + 
    10792*b136*b214 + 5680*b136*b215 + 7952*b136*b216 + 142*b136*b217 + 7100*
    b136*b218 + 568*b136*b219 + 5112*b136*b220 + 3834*b136*b221 + 12070*b136*
    b222 + 3744*b136*b223 + 4176*b136*b225 + 11808*b136*b226 + 11808*b136*b227
     + 864*b136*b228 + 10224*b136*b229 + 1152*b136*b230 + 11088*b136*b231 + 
    10656*b136*b232 + 4320*b136*b233 + 12816*b136*b234 + 10944*b136*b235 + 
    10944*b136*b236 + 5760*b136*b237 + 8064*b136*b238 + 144*b136*b239 + 7200*
    b136*b240 + 576*b136*b241 + 5184*b136*b242 + 3888*b136*b243 + 12240*b136*
    b244 + 1352*b136*b245 + 1508*b136*b247 + 4264*b136*b248 + 4264*b136*b249 + 
    312*b136*b250 + 3692*b136*b251 + 416*b136*b252 + 4004*b136*b253 + 3848*b136
    *b254 + 1560*b136*b255 + 4628*b136*b256 + 3952*b136*b257 + 3952*b136*b258
     + 2080*b136*b259 + 2912*b136*b260 + 52*b136*b261 + 2600*b136*b262 + 208*
    b136*b263 + 1872*b136*b264 + 1404*b136*b265 + 4420*b136*b266 + 4472*b136*
    b267 + 4988*b136*b269 + 14104*b136*b270 + 14104*b136*b271 + 1032*b136*b272
     + 12212*b136*b273 + 1376*b136*b274 + 13244*b136*b275 + 12728*b136*b276 + 
    5160*b136*b277 + 15308*b136*b278 + 13072*b136*b279 + 13072*b136*b280 + 6880
    *b136*b281 + 9632*b136*b282 + 172*b136*b283 + 8600*b136*b284 + 688*b136*
    b285 + 6192*b136*b286 + 4644*b136*b287 + 14620*b136*b288 + 3484*b136*b289
     + 3886*b136*b291 + 10988*b136*b292 + 10988*b136*b293 + 804*b136*b294 + 
    9514*b136*b295 + 1072*b136*b296 + 10318*b136*b297 + 9916*b136*b298 + 4020*
    b136*b299 + 11926*b136*b300 + 10184*b136*b301 + 10184*b136*b302 + 5360*b136
    *b303 + 7504*b136*b304 + 134*b136*b305 + 6700*b136*b306 + 536*b136*b307 + 
    4824*b136*b308 + 3618*b136*b309 + 11390*b136*b310 + 3484*b136*b311 + 3886*
    b136*b313 + 10988*b136*b314 + 10988*b136*b315 + 804*b136*b316 + 9514*b136*
    b317 + 1072*b136*b318 + 10318*b136*b319 + 9916*b136*b320 + 4020*b136*b321
     + 11926*b136*b322 + 10184*b136*b323 + 10184*b136*b324 + 5360*b136*b325 + 
    7504*b136*b326 + 134*b136*b327 + 6700*b136*b328 + 536*b136*b329 + 4824*b136
    *b330 + 3618*b136*b331 + 11390*b136*b332 + 1248*b136*b333 + 1392*b136*b335
     + 3936*b136*b336 + 3936*b136*b337 + 288*b136*b338 + 3408*b136*b339 + 384*
    b136*b340 + 3696*b136*b341 + 3552*b136*b342 + 1440*b136*b343 + 4272*b136*
    b344 + 3648*b136*b345 + 3648*b136*b346 + 1920*b136*b347 + 2688*b136*b348 + 
    48*b136*b349 + 2400*b136*b350 + 192*b136*b351 + 1728*b136*b352 + 1296*b136*
    b353 + 4080*b136*b354 + 520*b136*b355 + 580*b136*b357 + 1640*b136*b358 + 
    1640*b136*b359 + 120*b136*b360 + 1420*b136*b361 + 160*b136*b362 + 1540*b136
    *b363 + 1480*b136*b364 + 600*b136*b365 + 1780*b136*b366 + 1520*b136*b367 + 
    1520*b136*b368 + 800*b136*b369 + 1120*b136*b370 + 20*b136*b371 + 1000*b136*
    b372 + 80*b136*b373 + 720*b136*b374 + 540*b136*b375 + 1700*b136*b376 + 2392
    *b136*b377 + 2668*b136*b379 + 7544*b136*b380 + 7544*b136*b381 + 552*b136*
    b382 + 6532*b136*b383 + 736*b136*b384 + 7084*b136*b385 + 6808*b136*b386 + 
    2760*b136*b387 + 8188*b136*b388 + 6992*b136*b389 + 6992*b136*b390 + 3680*
    b136*b391 + 5152*b136*b392 + 92*b136*b393 + 4600*b136*b394 + 368*b136*b395
     + 3312*b136*b396 + 2484*b136*b397 + 7820*b136*b398 + 2912*b136*b399 + 3248
    *b136*b401 + 9184*b136*b402 + 9184*b136*b403 + 672*b136*b404 + 7952*b136*
    b405 + 896*b136*b406 + 8624*b136*b407 + 8288*b136*b408 + 3360*b136*b409 + 
    9968*b136*b410 + 8512*b136*b411 + 8512*b136*b412 + 4480*b136*b413 + 6272*
    b136*b414 + 112*b136*b415 + 5600*b136*b416 + 448*b136*b417 + 4032*b136*b418
     + 3024*b136*b419 + 9520*b136*b420 + 2912*b136*b421 + 3248*b136*b423 + 9184
    *b136*b424 + 9184*b136*b425 + 672*b136*b426 + 7952*b136*b427 + 896*b136*
    b428 + 8624*b136*b429 + 8288*b136*b430 + 3360*b136*b431 + 9968*b136*b432 + 
    8512*b136*b433 + 8512*b136*b434 + 4480*b136*b435 + 6272*b136*b436 + 112*
    b136*b437 + 5600*b136*b438 + 448*b136*b439 + 4032*b136*b440 + 3024*b136*
    b441 + 9520*b136*b442 + 3588*b136*b443 + 4002*b136*b445 + 11316*b136*b446
     + 11316*b136*b447 + 828*b136*b448 + 9798*b136*b449 + 1104*b136*b450 + 
    10626*b136*b451 + 10212*b136*b452 + 4140*b136*b453 + 12282*b136*b454 + 
    10488*b136*b455 + 10488*b136*b456 + 5520*b136*b457 + 7728*b136*b458 + 138*
    b136*b459 + 6900*b136*b460 + 552*b136*b461 + 4968*b136*b462 + 3726*b136*
    b463 + 11730*b136*b464 + 2756*b136*b465 + 3074*b136*b467 + 8692*b136*b468
     + 8692*b136*b469 + 636*b136*b470 + 7526*b136*b471 + 848*b136*b472 + 8162*
    b136*b473 + 7844*b136*b474 + 3180*b136*b475 + 9434*b136*b476 + 8056*b136*
    b477 + 8056*b136*b478 + 4240*b136*b479 + 5936*b136*b480 + 106*b136*b481 + 
    5300*b136*b482 + 424*b136*b483 + 3816*b136*b484 + 2862*b136*b485 + 9010*
    b136*b486 + 2496*b136*b487 + 2784*b136*b489 + 7872*b136*b490 + 7872*b136*
    b491 + 576*b136*b492 + 6816*b136*b493 + 768*b136*b494 + 7392*b136*b495 + 
    7104*b136*b496 + 2880*b136*b497 + 8544*b136*b498 + 7296*b136*b499 + 7296*
    b136*b500 + 3840*b136*b501 + 5376*b136*b502 + 96*b136*b503 + 4800*b136*b504
     + 384*b136*b505 + 3456*b136*b506 + 2592*b136*b507 + 8160*b136*b508 + 3848*
    b136*b509 + 4292*b136*b511 + 12136*b136*b512 + 12136*b136*b513 + 888*b136*
    b514 + 10508*b136*b515 + 1184*b136*b516 + 11396*b136*b517 + 10952*b136*b518
     + 4440*b136*b519 + 13172*b136*b520 + 11248*b136*b521 + 11248*b136*b522 + 
    5920*b136*b523 + 8288*b136*b524 + 148*b136*b525 + 7400*b136*b526 + 592*b136
    *b527 + 5328*b136*b528 + 3996*b136*b529 + 12580*b136*b530 + 13490*b136*b534
     + 13206*b136*b535 + 284*b136*b536 + 11970*b136*b537 + 11718*b136*b538 + 
    252*b136*b539 + 8360*b136*b540 + 8184*b136*b541 + 176*b136*b542 + 4180*b136
    *b543 + 4092*b136*b544 + 88*b136*b545 + 6270*b136*b549 + 6138*b136*b550 + 
    132*b136*b551 + 190*b136*b552 + 186*b136*b553 + 4*b136*b554 + 13490*b136*
    b555 + 13206*b136*b556 + 284*b136*b557 + 13680*b136*b558 + 13392*b136*b559
     + 288*b136*b560 + 4940*b136*b561 + 4836*b136*b562 + 104*b136*b563 + 16340*
    b136*b564 + 15996*b136*b565 + 344*b136*b566 + 12730*b136*b567 + 12462*b136*
    b568 + 268*b136*b569 + 12730*b136*b570 + 12462*b136*b571 + 268*b136*b572 + 
    4560*b136*b573 + 4464*b136*b574 + 96*b136*b575 + 1900*b136*b576 + 1860*b136
    *b577 + 40*b136*b578 + 8740*b136*b579 + 8556*b136*b580 + 184*b136*b581 + 
    10640*b136*b582 + 10416*b136*b583 + 224*b136*b584 + 10640*b136*b585 + 10416
    *b136*b586 + 224*b136*b587 + 13110*b136*b588 + 12834*b136*b589 + 276*b136*
    b590 + 10070*b136*b591 + 9858*b136*b592 + 212*b136*b593 + 9120*b136*b594 + 
    8928*b136*b595 + 192*b136*b596 + 14060*b136*b597 + 13764*b136*b598 + 296*
    b136*b599 + 2262*b136*b601 + 6396*b136*b602 + 6396*b136*b603 + 468*b136*
    b604 + 5538*b136*b605 + 624*b136*b606 + 6006*b136*b607 + 5772*b136*b608 + 
    2340*b136*b609 + 6942*b136*b610 + 5928*b136*b611 + 5928*b136*b612 + 3120*
    b136*b613 + 7254*b136*b614 + 4368*b136*b615 + 78*b136*b616 + 3900*b136*b617
     + 312*b136*b618 + 2808*b136*b619 + 2106*b136*b620 + 6630*b136*b621 + 156*
    b136*b622 + 2028*b136*b623 + 18240*b136*b624 + 17856*b136*b625 + 384*b136*
    b626 + 6006*b137*b157 + 1914*b137*b158 + 66*b137*b160 + 990*b137*b161 + 726
    *b137*b162 + 2310*b137*b163 + 726*b137*b164 + 1320*b137*b165 + 1386*b137*
    b166 + 4026*b137*b167 + 5280*b137*b168 + 3828*b137*b169 + 1386*b137*b170 + 
    5016*b137*b171 + 2904*b137*b172 + 5610*b137*b173 + 6204*b137*b174 + 5940*
    b137*b175 + 3366*b137*b176 + 198*b137*b177 + 3168*b137*b178 + 182*b137*b179
     + 58*b137*b180 + 2*b137*b182 + 30*b137*b183 + 22*b137*b184 + 70*b137*b185
     + 22*b137*b186 + 40*b137*b187 + 42*b137*b188 + 122*b137*b189 + 160*b137*
    b190 + 116*b137*b191 + 42*b137*b192 + 152*b137*b193 + 88*b137*b194 + 170*
    b137*b195 + 188*b137*b196 + 180*b137*b197 + 102*b137*b198 + 6*b137*b199 + 
    96*b137*b200 + 12922*b137*b201 + 4118*b137*b202 + 142*b137*b204 + 2130*b137
    *b205 + 1562*b137*b206 + 4970*b137*b207 + 1562*b137*b208 + 2840*b137*b209
     + 2982*b137*b210 + 8662*b137*b211 + 11360*b137*b212 + 8236*b137*b213 + 
    2982*b137*b214 + 10792*b137*b215 + 6248*b137*b216 + 12070*b137*b217 + 13348
    *b137*b218 + 12780*b137*b219 + 7242*b137*b220 + 426*b137*b221 + 6816*b137*
    b222 + 13104*b137*b223 + 4176*b137*b224 + 144*b137*b226 + 2160*b137*b227 + 
    1584*b137*b228 + 5040*b137*b229 + 1584*b137*b230 + 2880*b137*b231 + 3024*
    b137*b232 + 8784*b137*b233 + 11520*b137*b234 + 8352*b137*b235 + 3024*b137*
    b236 + 10944*b137*b237 + 6336*b137*b238 + 12240*b137*b239 + 13536*b137*b240
     + 12960*b137*b241 + 7344*b137*b242 + 432*b137*b243 + 6912*b137*b244 + 4732
    *b137*b245 + 1508*b137*b246 + 52*b137*b248 + 780*b137*b249 + 572*b137*b250
     + 1820*b137*b251 + 572*b137*b252 + 1040*b137*b253 + 1092*b137*b254 + 3172*
    b137*b255 + 4160*b137*b256 + 3016*b137*b257 + 1092*b137*b258 + 3952*b137*
    b259 + 2288*b137*b260 + 4420*b137*b261 + 4888*b137*b262 + 4680*b137*b263 + 
    2652*b137*b264 + 156*b137*b265 + 2496*b137*b266 + 15652*b137*b267 + 4988*
    b137*b268 + 172*b137*b270 + 2580*b137*b271 + 1892*b137*b272 + 6020*b137*
    b273 + 1892*b137*b274 + 3440*b137*b275 + 3612*b137*b276 + 10492*b137*b277
     + 13760*b137*b278 + 9976*b137*b279 + 3612*b137*b280 + 13072*b137*b281 + 
    7568*b137*b282 + 14620*b137*b283 + 16168*b137*b284 + 15480*b137*b285 + 8772
    *b137*b286 + 516*b137*b287 + 8256*b137*b288 + 12194*b137*b289 + 3886*b137*
    b290 + 134*b137*b292 + 2010*b137*b293 + 1474*b137*b294 + 4690*b137*b295 + 
    1474*b137*b296 + 2680*b137*b297 + 2814*b137*b298 + 8174*b137*b299 + 10720*
    b137*b300 + 7772*b137*b301 + 2814*b137*b302 + 10184*b137*b303 + 5896*b137*
    b304 + 11390*b137*b305 + 12596*b137*b306 + 12060*b137*b307 + 6834*b137*b308
     + 402*b137*b309 + 6432*b137*b310 + 12194*b137*b311 + 3886*b137*b312 + 134*
    b137*b314 + 2010*b137*b315 + 1474*b137*b316 + 4690*b137*b317 + 1474*b137*
    b318 + 2680*b137*b319 + 2814*b137*b320 + 8174*b137*b321 + 10720*b137*b322
     + 7772*b137*b323 + 2814*b137*b324 + 10184*b137*b325 + 5896*b137*b326 + 
    11390*b137*b327 + 12596*b137*b328 + 12060*b137*b329 + 6834*b137*b330 + 402*
    b137*b331 + 6432*b137*b332 + 4368*b137*b333 + 1392*b137*b334 + 48*b137*b336
     + 720*b137*b337 + 528*b137*b338 + 1680*b137*b339 + 528*b137*b340 + 960*
    b137*b341 + 1008*b137*b342 + 2928*b137*b343 + 3840*b137*b344 + 2784*b137*
    b345 + 1008*b137*b346 + 3648*b137*b347 + 2112*b137*b348 + 4080*b137*b349 + 
    4512*b137*b350 + 4320*b137*b351 + 2448*b137*b352 + 144*b137*b353 + 2304*
    b137*b354 + 1820*b137*b355 + 580*b137*b356 + 20*b137*b358 + 300*b137*b359
     + 220*b137*b360 + 700*b137*b361 + 220*b137*b362 + 400*b137*b363 + 420*b137
    *b364 + 1220*b137*b365 + 1600*b137*b366 + 1160*b137*b367 + 420*b137*b368 + 
    1520*b137*b369 + 880*b137*b370 + 1700*b137*b371 + 1880*b137*b372 + 1800*
    b137*b373 + 1020*b137*b374 + 60*b137*b375 + 960*b137*b376 + 8372*b137*b377
     + 2668*b137*b378 + 92*b137*b380 + 1380*b137*b381 + 1012*b137*b382 + 3220*
    b137*b383 + 1012*b137*b384 + 1840*b137*b385 + 1932*b137*b386 + 5612*b137*
    b387 + 7360*b137*b388 + 5336*b137*b389 + 1932*b137*b390 + 6992*b137*b391 + 
    4048*b137*b392 + 7820*b137*b393 + 8648*b137*b394 + 8280*b137*b395 + 4692*
    b137*b396 + 276*b137*b397 + 4416*b137*b398 + 10192*b137*b399 + 3248*b137*
    b400 + 112*b137*b402 + 1680*b137*b403 + 1232*b137*b404 + 3920*b137*b405 + 
    1232*b137*b406 + 2240*b137*b407 + 2352*b137*b408 + 6832*b137*b409 + 8960*
    b137*b410 + 6496*b137*b411 + 2352*b137*b412 + 8512*b137*b413 + 4928*b137*
    b414 + 9520*b137*b415 + 10528*b137*b416 + 10080*b137*b417 + 5712*b137*b418
     + 336*b137*b419 + 5376*b137*b420 + 10192*b137*b421 + 3248*b137*b422 + 112*
    b137*b424 + 1680*b137*b425 + 1232*b137*b426 + 3920*b137*b427 + 1232*b137*
    b428 + 2240*b137*b429 + 2352*b137*b430 + 6832*b137*b431 + 8960*b137*b432 + 
    6496*b137*b433 + 2352*b137*b434 + 8512*b137*b435 + 4928*b137*b436 + 9520*
    b137*b437 + 10528*b137*b438 + 10080*b137*b439 + 5712*b137*b440 + 336*b137*
    b441 + 5376*b137*b442 + 12558*b137*b443 + 4002*b137*b444 + 138*b137*b446 + 
    2070*b137*b447 + 1518*b137*b448 + 4830*b137*b449 + 1518*b137*b450 + 2760*
    b137*b451 + 2898*b137*b452 + 8418*b137*b453 + 11040*b137*b454 + 8004*b137*
    b455 + 2898*b137*b456 + 10488*b137*b457 + 6072*b137*b458 + 11730*b137*b459
     + 12972*b137*b460 + 12420*b137*b461 + 7038*b137*b462 + 414*b137*b463 + 
    6624*b137*b464 + 9646*b137*b465 + 3074*b137*b466 + 106*b137*b468 + 1590*
    b137*b469 + 1166*b137*b470 + 3710*b137*b471 + 1166*b137*b472 + 2120*b137*
    b473 + 2226*b137*b474 + 6466*b137*b475 + 8480*b137*b476 + 6148*b137*b477 + 
    2226*b137*b478 + 8056*b137*b479 + 4664*b137*b480 + 9010*b137*b481 + 9964*
    b137*b482 + 9540*b137*b483 + 5406*b137*b484 + 318*b137*b485 + 5088*b137*
    b486 + 8736*b137*b487 + 2784*b137*b488 + 96*b137*b490 + 1440*b137*b491 + 
    1056*b137*b492 + 3360*b137*b493 + 1056*b137*b494 + 1920*b137*b495 + 2016*
    b137*b496 + 5856*b137*b497 + 7680*b137*b498 + 5568*b137*b499 + 2016*b137*
    b500 + 7296*b137*b501 + 4224*b137*b502 + 8160*b137*b503 + 9024*b137*b504 + 
    8640*b137*b505 + 4896*b137*b506 + 288*b137*b507 + 4608*b137*b508 + 13468*
    b137*b509 + 4292*b137*b510 + 148*b137*b512 + 2220*b137*b513 + 1628*b137*
    b514 + 5180*b137*b515 + 1628*b137*b516 + 2960*b137*b517 + 3108*b137*b518 + 
    9028*b137*b519 + 11840*b137*b520 + 8584*b137*b521 + 3108*b137*b522 + 11248*
    b137*b523 + 6512*b137*b524 + 12580*b137*b525 + 13912*b137*b526 + 13320*b137
    *b527 + 7548*b137*b528 + 444*b137*b529 + 7104*b137*b530 + 11644*b137*b534
     + 10224*b137*b535 + 4118*b137*b536 + 10332*b137*b537 + 9072*b137*b538 + 
    3654*b137*b539 + 7216*b137*b540 + 6336*b137*b541 + 2552*b137*b542 + 3608*
    b137*b543 + 3168*b137*b544 + 1276*b137*b545 + 5412*b137*b549 + 4752*b137*
    b550 + 1914*b137*b551 + 164*b137*b552 + 144*b137*b553 + 58*b137*b554 + 
    11644*b137*b555 + 10224*b137*b556 + 4118*b137*b557 + 11808*b137*b558 + 
    10368*b137*b559 + 4176*b137*b560 + 4264*b137*b561 + 3744*b137*b562 + 1508*
    b137*b563 + 14104*b137*b564 + 12384*b137*b565 + 4988*b137*b566 + 10988*b137
    *b567 + 9648*b137*b568 + 3886*b137*b569 + 10988*b137*b570 + 9648*b137*b571
     + 3886*b137*b572 + 3936*b137*b573 + 3456*b137*b574 + 1392*b137*b575 + 1640
    *b137*b576 + 1440*b137*b577 + 580*b137*b578 + 7544*b137*b579 + 6624*b137*
    b580 + 2668*b137*b581 + 9184*b137*b582 + 8064*b137*b583 + 3248*b137*b584 + 
    9184*b137*b585 + 8064*b137*b586 + 3248*b137*b587 + 11316*b137*b588 + 9936*
    b137*b589 + 4002*b137*b590 + 8692*b137*b591 + 7632*b137*b592 + 3074*b137*
    b593 + 7872*b137*b594 + 6912*b137*b595 + 2784*b137*b596 + 12136*b137*b597
     + 10656*b137*b598 + 4292*b137*b599 + 2262*b137*b600 + 78*b137*b602 + 1170*
    b137*b603 + 858*b137*b604 + 2730*b137*b605 + 858*b137*b606 + 1560*b137*b607
     + 1638*b137*b608 + 4758*b137*b609 + 6240*b137*b610 + 4524*b137*b611 + 1638
    *b137*b612 + 5928*b137*b613 + 5616*b137*b614 + 3432*b137*b615 + 6630*b137*
    b616 + 7332*b137*b617 + 7020*b137*b618 + 3978*b137*b619 + 234*b137*b620 + 
    3744*b137*b621 + 2262*b137*b622 + 7098*b137*b623 + 15744*b137*b624 + 13824*
    b137*b625 + 5568*b137*b626 + 726*b138*b157 + 5412*b138*b158 + 66*b138*b159
     + 5940*b138*b161 + 4356*b138*b162 + 2706*b138*b163 + 990*b138*b164 + 5478*
    b138*b165 + 6336*b138*b166 + 4884*b138*b167 + 2970*b138*b168 + 4290*b138*
    b169 + 2640*b138*b170 + 3564*b138*b171 + 924*b138*b172 + 4686*b138*b173 + 
    5082*b138*b174 + 2376*b138*b175 + 3498*b138*b176 + 2442*b138*b177 + 1716*
    b138*b178 + 22*b138*b179 + 164*b138*b180 + 2*b138*b181 + 180*b138*b183 + 
    132*b138*b184 + 82*b138*b185 + 30*b138*b186 + 166*b138*b187 + 192*b138*b188
     + 148*b138*b189 + 90*b138*b190 + 130*b138*b191 + 80*b138*b192 + 108*b138*
    b193 + 28*b138*b194 + 142*b138*b195 + 154*b138*b196 + 72*b138*b197 + 106*
    b138*b198 + 74*b138*b199 + 52*b138*b200 + 1562*b138*b201 + 11644*b138*b202
     + 142*b138*b203 + 12780*b138*b205 + 9372*b138*b206 + 5822*b138*b207 + 2130
    *b138*b208 + 11786*b138*b209 + 13632*b138*b210 + 10508*b138*b211 + 6390*
    b138*b212 + 9230*b138*b213 + 5680*b138*b214 + 7668*b138*b215 + 1988*b138*
    b216 + 10082*b138*b217 + 10934*b138*b218 + 5112*b138*b219 + 7526*b138*b220
     + 5254*b138*b221 + 3692*b138*b222 + 1584*b138*b223 + 11808*b138*b224 + 144
    *b138*b225 + 12960*b138*b227 + 9504*b138*b228 + 5904*b138*b229 + 2160*b138*
    b230 + 11952*b138*b231 + 13824*b138*b232 + 10656*b138*b233 + 6480*b138*b234
     + 9360*b138*b235 + 5760*b138*b236 + 7776*b138*b237 + 2016*b138*b238 + 
    10224*b138*b239 + 11088*b138*b240 + 5184*b138*b241 + 7632*b138*b242 + 5328*
    b138*b243 + 3744*b138*b244 + 572*b138*b245 + 4264*b138*b246 + 52*b138*b247
     + 4680*b138*b249 + 3432*b138*b250 + 2132*b138*b251 + 780*b138*b252 + 4316*
    b138*b253 + 4992*b138*b254 + 3848*b138*b255 + 2340*b138*b256 + 3380*b138*
    b257 + 2080*b138*b258 + 2808*b138*b259 + 728*b138*b260 + 3692*b138*b261 + 
    4004*b138*b262 + 1872*b138*b263 + 2756*b138*b264 + 1924*b138*b265 + 1352*
    b138*b266 + 1892*b138*b267 + 14104*b138*b268 + 172*b138*b269 + 15480*b138*
    b271 + 11352*b138*b272 + 7052*b138*b273 + 2580*b138*b274 + 14276*b138*b275
     + 16512*b138*b276 + 12728*b138*b277 + 7740*b138*b278 + 11180*b138*b279 + 
    6880*b138*b280 + 9288*b138*b281 + 2408*b138*b282 + 12212*b138*b283 + 13244*
    b138*b284 + 6192*b138*b285 + 9116*b138*b286 + 6364*b138*b287 + 4472*b138*
    b288 + 1474*b138*b289 + 10988*b138*b290 + 134*b138*b291 + 12060*b138*b293
     + 8844*b138*b294 + 5494*b138*b295 + 2010*b138*b296 + 11122*b138*b297 + 
    12864*b138*b298 + 9916*b138*b299 + 6030*b138*b300 + 8710*b138*b301 + 5360*
    b138*b302 + 7236*b138*b303 + 1876*b138*b304 + 9514*b138*b305 + 10318*b138*
    b306 + 4824*b138*b307 + 7102*b138*b308 + 4958*b138*b309 + 3484*b138*b310 + 
    1474*b138*b311 + 10988*b138*b312 + 134*b138*b313 + 12060*b138*b315 + 8844*
    b138*b316 + 5494*b138*b317 + 2010*b138*b318 + 11122*b138*b319 + 12864*b138*
    b320 + 9916*b138*b321 + 6030*b138*b322 + 8710*b138*b323 + 5360*b138*b324 + 
    7236*b138*b325 + 1876*b138*b326 + 9514*b138*b327 + 10318*b138*b328 + 4824*
    b138*b329 + 7102*b138*b330 + 4958*b138*b331 + 3484*b138*b332 + 528*b138*
    b333 + 3936*b138*b334 + 48*b138*b335 + 4320*b138*b337 + 3168*b138*b338 + 
    1968*b138*b339 + 720*b138*b340 + 3984*b138*b341 + 4608*b138*b342 + 3552*
    b138*b343 + 2160*b138*b344 + 3120*b138*b345 + 1920*b138*b346 + 2592*b138*
    b347 + 672*b138*b348 + 3408*b138*b349 + 3696*b138*b350 + 1728*b138*b351 + 
    2544*b138*b352 + 1776*b138*b353 + 1248*b138*b354 + 220*b138*b355 + 1640*
    b138*b356 + 20*b138*b357 + 1800*b138*b359 + 1320*b138*b360 + 820*b138*b361
     + 300*b138*b362 + 1660*b138*b363 + 1920*b138*b364 + 1480*b138*b365 + 900*
    b138*b366 + 1300*b138*b367 + 800*b138*b368 + 1080*b138*b369 + 280*b138*b370
     + 1420*b138*b371 + 1540*b138*b372 + 720*b138*b373 + 1060*b138*b374 + 740*
    b138*b375 + 520*b138*b376 + 1012*b138*b377 + 7544*b138*b378 + 92*b138*b379
     + 8280*b138*b381 + 6072*b138*b382 + 3772*b138*b383 + 1380*b138*b384 + 7636
    *b138*b385 + 8832*b138*b386 + 6808*b138*b387 + 4140*b138*b388 + 5980*b138*
    b389 + 3680*b138*b390 + 4968*b138*b391 + 1288*b138*b392 + 6532*b138*b393 + 
    7084*b138*b394 + 3312*b138*b395 + 4876*b138*b396 + 3404*b138*b397 + 2392*
    b138*b398 + 1232*b138*b399 + 9184*b138*b400 + 112*b138*b401 + 10080*b138*
    b403 + 7392*b138*b404 + 4592*b138*b405 + 1680*b138*b406 + 9296*b138*b407 + 
    10752*b138*b408 + 8288*b138*b409 + 5040*b138*b410 + 7280*b138*b411 + 4480*
    b138*b412 + 6048*b138*b413 + 1568*b138*b414 + 7952*b138*b415 + 8624*b138*
    b416 + 4032*b138*b417 + 5936*b138*b418 + 4144*b138*b419 + 2912*b138*b420 + 
    1232*b138*b421 + 9184*b138*b422 + 112*b138*b423 + 10080*b138*b425 + 7392*
    b138*b426 + 4592*b138*b427 + 1680*b138*b428 + 9296*b138*b429 + 10752*b138*
    b430 + 8288*b138*b431 + 5040*b138*b432 + 7280*b138*b433 + 4480*b138*b434 + 
    6048*b138*b435 + 1568*b138*b436 + 7952*b138*b437 + 8624*b138*b438 + 4032*
    b138*b439 + 5936*b138*b440 + 4144*b138*b441 + 2912*b138*b442 + 1518*b138*
    b443 + 11316*b138*b444 + 138*b138*b445 + 12420*b138*b447 + 9108*b138*b448
     + 5658*b138*b449 + 2070*b138*b450 + 11454*b138*b451 + 13248*b138*b452 + 
    10212*b138*b453 + 6210*b138*b454 + 8970*b138*b455 + 5520*b138*b456 + 7452*
    b138*b457 + 1932*b138*b458 + 9798*b138*b459 + 10626*b138*b460 + 4968*b138*
    b461 + 7314*b138*b462 + 5106*b138*b463 + 3588*b138*b464 + 1166*b138*b465 + 
    8692*b138*b466 + 106*b138*b467 + 9540*b138*b469 + 6996*b138*b470 + 4346*
    b138*b471 + 1590*b138*b472 + 8798*b138*b473 + 10176*b138*b474 + 7844*b138*
    b475 + 4770*b138*b476 + 6890*b138*b477 + 4240*b138*b478 + 5724*b138*b479 + 
    1484*b138*b480 + 7526*b138*b481 + 8162*b138*b482 + 3816*b138*b483 + 5618*
    b138*b484 + 3922*b138*b485 + 2756*b138*b486 + 1056*b138*b487 + 7872*b138*
    b488 + 96*b138*b489 + 8640*b138*b491 + 6336*b138*b492 + 3936*b138*b493 + 
    1440*b138*b494 + 7968*b138*b495 + 9216*b138*b496 + 7104*b138*b497 + 4320*
    b138*b498 + 6240*b138*b499 + 3840*b138*b500 + 5184*b138*b501 + 1344*b138*
    b502 + 6816*b138*b503 + 7392*b138*b504 + 3456*b138*b505 + 5088*b138*b506 + 
    3552*b138*b507 + 2496*b138*b508 + 1628*b138*b509 + 12136*b138*b510 + 148*
    b138*b511 + 13320*b138*b513 + 9768*b138*b514 + 6068*b138*b515 + 2220*b138*
    b516 + 12284*b138*b517 + 14208*b138*b518 + 10952*b138*b519 + 6660*b138*b520
     + 9620*b138*b521 + 5920*b138*b522 + 7992*b138*b523 + 2072*b138*b524 + 
    10508*b138*b525 + 11396*b138*b526 + 5328*b138*b527 + 7844*b138*b528 + 5476*
    b138*b529 + 3848*b138*b530 + 7952*b138*b534 + 11786*b138*b535 + 12354*b138*
    b536 + 7056*b138*b537 + 10458*b138*b538 + 10962*b138*b539 + 4928*b138*b540
     + 7304*b138*b541 + 7656*b138*b542 + 2464*b138*b543 + 3652*b138*b544 + 3828
    *b138*b545 + 3696*b138*b549 + 5478*b138*b550 + 5742*b138*b551 + 112*b138*
    b552 + 166*b138*b553 + 174*b138*b554 + 7952*b138*b555 + 11786*b138*b556 + 
    12354*b138*b557 + 8064*b138*b558 + 11952*b138*b559 + 12528*b138*b560 + 2912
    *b138*b561 + 4316*b138*b562 + 4524*b138*b563 + 9632*b138*b564 + 14276*b138*
    b565 + 14964*b138*b566 + 7504*b138*b567 + 11122*b138*b568 + 11658*b138*b569
     + 7504*b138*b570 + 11122*b138*b571 + 11658*b138*b572 + 2688*b138*b573 + 
    3984*b138*b574 + 4176*b138*b575 + 1120*b138*b576 + 1660*b138*b577 + 1740*
    b138*b578 + 5152*b138*b579 + 7636*b138*b580 + 8004*b138*b581 + 6272*b138*
    b582 + 9296*b138*b583 + 9744*b138*b584 + 6272*b138*b585 + 9296*b138*b586 + 
    9744*b138*b587 + 7728*b138*b588 + 11454*b138*b589 + 12006*b138*b590 + 5936*
    b138*b591 + 8798*b138*b592 + 9222*b138*b593 + 5376*b138*b594 + 7968*b138*
    b595 + 8352*b138*b596 + 8288*b138*b597 + 12284*b138*b598 + 12876*b138*b599
     + 6396*b138*b600 + 78*b138*b601 + 7020*b138*b603 + 5148*b138*b604 + 3198*
    b138*b605 + 1170*b138*b606 + 6474*b138*b607 + 7488*b138*b608 + 5772*b138*
    b609 + 3510*b138*b610 + 5070*b138*b611 + 3120*b138*b612 + 4212*b138*b613 + 
    6474*b138*b614 + 1092*b138*b615 + 5538*b138*b616 + 6006*b138*b617 + 2808*
    b138*b618 + 4134*b138*b619 + 2886*b138*b620 + 2028*b138*b621 + 6786*b138*
    b622 + 858*b138*b623 + 10752*b138*b624 + 15936*b138*b625 + 16704*b138*b626
     + 2310*b139*b157 + 5412*b139*b158 + 990*b139*b159 + 5940*b139*b160 + 5016*
    b139*b162 + 6006*b139*b163 + 858*b139*b164 + 1914*b139*b165 + 726*b139*b166
     + 5082*b139*b167 + 2112*b139*b168 + 5742*b139*b169 + 4422*b139*b170 + 6204
    *b139*b171 + 132*b139*b172 + 660*b139*b173 + 6534*b139*b174 + 3696*b139*
    b175 + 4620*b139*b176 + 6534*b139*b177 + 3960*b139*b178 + 70*b139*b179 + 
    164*b139*b180 + 30*b139*b181 + 180*b139*b182 + 152*b139*b184 + 182*b139*
    b185 + 26*b139*b186 + 58*b139*b187 + 22*b139*b188 + 154*b139*b189 + 64*b139
    *b190 + 174*b139*b191 + 134*b139*b192 + 188*b139*b193 + 4*b139*b194 + 20*
    b139*b195 + 198*b139*b196 + 112*b139*b197 + 140*b139*b198 + 198*b139*b199
     + 120*b139*b200 + 4970*b139*b201 + 11644*b139*b202 + 2130*b139*b203 + 
    12780*b139*b204 + 10792*b139*b206 + 12922*b139*b207 + 1846*b139*b208 + 4118
    *b139*b209 + 1562*b139*b210 + 10934*b139*b211 + 4544*b139*b212 + 12354*b139
    *b213 + 9514*b139*b214 + 13348*b139*b215 + 284*b139*b216 + 1420*b139*b217
     + 14058*b139*b218 + 7952*b139*b219 + 9940*b139*b220 + 14058*b139*b221 + 
    8520*b139*b222 + 5040*b139*b223 + 11808*b139*b224 + 2160*b139*b225 + 12960*
    b139*b226 + 10944*b139*b228 + 13104*b139*b229 + 1872*b139*b230 + 4176*b139*
    b231 + 1584*b139*b232 + 11088*b139*b233 + 4608*b139*b234 + 12528*b139*b235
     + 9648*b139*b236 + 13536*b139*b237 + 288*b139*b238 + 1440*b139*b239 + 
    14256*b139*b240 + 8064*b139*b241 + 10080*b139*b242 + 14256*b139*b243 + 8640
    *b139*b244 + 1820*b139*b245 + 4264*b139*b246 + 780*b139*b247 + 4680*b139*
    b248 + 3952*b139*b250 + 4732*b139*b251 + 676*b139*b252 + 1508*b139*b253 + 
    572*b139*b254 + 4004*b139*b255 + 1664*b139*b256 + 4524*b139*b257 + 3484*
    b139*b258 + 4888*b139*b259 + 104*b139*b260 + 520*b139*b261 + 5148*b139*b262
     + 2912*b139*b263 + 3640*b139*b264 + 5148*b139*b265 + 3120*b139*b266 + 6020
    *b139*b267 + 14104*b139*b268 + 2580*b139*b269 + 15480*b139*b270 + 13072*
    b139*b272 + 15652*b139*b273 + 2236*b139*b274 + 4988*b139*b275 + 1892*b139*
    b276 + 13244*b139*b277 + 5504*b139*b278 + 14964*b139*b279 + 11524*b139*b280
     + 16168*b139*b281 + 344*b139*b282 + 1720*b139*b283 + 17028*b139*b284 + 
    9632*b139*b285 + 12040*b139*b286 + 17028*b139*b287 + 10320*b139*b288 + 4690
    *b139*b289 + 10988*b139*b290 + 2010*b139*b291 + 12060*b139*b292 + 10184*
    b139*b294 + 12194*b139*b295 + 1742*b139*b296 + 3886*b139*b297 + 1474*b139*
    b298 + 10318*b139*b299 + 4288*b139*b300 + 11658*b139*b301 + 8978*b139*b302
     + 12596*b139*b303 + 268*b139*b304 + 1340*b139*b305 + 13266*b139*b306 + 
    7504*b139*b307 + 9380*b139*b308 + 13266*b139*b309 + 8040*b139*b310 + 4690*
    b139*b311 + 10988*b139*b312 + 2010*b139*b313 + 12060*b139*b314 + 10184*b139
    *b316 + 12194*b139*b317 + 1742*b139*b318 + 3886*b139*b319 + 1474*b139*b320
     + 10318*b139*b321 + 4288*b139*b322 + 11658*b139*b323 + 8978*b139*b324 + 
    12596*b139*b325 + 268*b139*b326 + 1340*b139*b327 + 13266*b139*b328 + 7504*
    b139*b329 + 9380*b139*b330 + 13266*b139*b331 + 8040*b139*b332 + 1680*b139*
    b333 + 3936*b139*b334 + 720*b139*b335 + 4320*b139*b336 + 3648*b139*b338 + 
    4368*b139*b339 + 624*b139*b340 + 1392*b139*b341 + 528*b139*b342 + 3696*b139
    *b343 + 1536*b139*b344 + 4176*b139*b345 + 3216*b139*b346 + 4512*b139*b347
     + 96*b139*b348 + 480*b139*b349 + 4752*b139*b350 + 2688*b139*b351 + 3360*
    b139*b352 + 4752*b139*b353 + 2880*b139*b354 + 700*b139*b355 + 1640*b139*
    b356 + 300*b139*b357 + 1800*b139*b358 + 1520*b139*b360 + 1820*b139*b361 + 
    260*b139*b362 + 580*b139*b363 + 220*b139*b364 + 1540*b139*b365 + 640*b139*
    b366 + 1740*b139*b367 + 1340*b139*b368 + 1880*b139*b369 + 40*b139*b370 + 
    200*b139*b371 + 1980*b139*b372 + 1120*b139*b373 + 1400*b139*b374 + 1980*
    b139*b375 + 1200*b139*b376 + 3220*b139*b377 + 7544*b139*b378 + 1380*b139*
    b379 + 8280*b139*b380 + 6992*b139*b382 + 8372*b139*b383 + 1196*b139*b384 + 
    2668*b139*b385 + 1012*b139*b386 + 7084*b139*b387 + 2944*b139*b388 + 8004*
    b139*b389 + 6164*b139*b390 + 8648*b139*b391 + 184*b139*b392 + 920*b139*b393
     + 9108*b139*b394 + 5152*b139*b395 + 6440*b139*b396 + 9108*b139*b397 + 5520
    *b139*b398 + 3920*b139*b399 + 9184*b139*b400 + 1680*b139*b401 + 10080*b139*
    b402 + 8512*b139*b404 + 10192*b139*b405 + 1456*b139*b406 + 3248*b139*b407
     + 1232*b139*b408 + 8624*b139*b409 + 3584*b139*b410 + 9744*b139*b411 + 7504
    *b139*b412 + 10528*b139*b413 + 224*b139*b414 + 1120*b139*b415 + 11088*b139*
    b416 + 6272*b139*b417 + 7840*b139*b418 + 11088*b139*b419 + 6720*b139*b420
     + 3920*b139*b421 + 9184*b139*b422 + 1680*b139*b423 + 10080*b139*b424 + 
    8512*b139*b426 + 10192*b139*b427 + 1456*b139*b428 + 3248*b139*b429 + 1232*
    b139*b430 + 8624*b139*b431 + 3584*b139*b432 + 9744*b139*b433 + 7504*b139*
    b434 + 10528*b139*b435 + 224*b139*b436 + 1120*b139*b437 + 11088*b139*b438
     + 6272*b139*b439 + 7840*b139*b440 + 11088*b139*b441 + 6720*b139*b442 + 
    4830*b139*b443 + 11316*b139*b444 + 2070*b139*b445 + 12420*b139*b446 + 10488
    *b139*b448 + 12558*b139*b449 + 1794*b139*b450 + 4002*b139*b451 + 1518*b139*
    b452 + 10626*b139*b453 + 4416*b139*b454 + 12006*b139*b455 + 9246*b139*b456
     + 12972*b139*b457 + 276*b139*b458 + 1380*b139*b459 + 13662*b139*b460 + 
    7728*b139*b461 + 9660*b139*b462 + 13662*b139*b463 + 8280*b139*b464 + 3710*
    b139*b465 + 8692*b139*b466 + 1590*b139*b467 + 9540*b139*b468 + 8056*b139*
    b470 + 9646*b139*b471 + 1378*b139*b472 + 3074*b139*b473 + 1166*b139*b474 + 
    8162*b139*b475 + 3392*b139*b476 + 9222*b139*b477 + 7102*b139*b478 + 9964*
    b139*b479 + 212*b139*b480 + 1060*b139*b481 + 10494*b139*b482 + 5936*b139*
    b483 + 7420*b139*b484 + 10494*b139*b485 + 6360*b139*b486 + 3360*b139*b487
     + 7872*b139*b488 + 1440*b139*b489 + 8640*b139*b490 + 7296*b139*b492 + 8736
    *b139*b493 + 1248*b139*b494 + 2784*b139*b495 + 1056*b139*b496 + 7392*b139*
    b497 + 3072*b139*b498 + 8352*b139*b499 + 6432*b139*b500 + 9024*b139*b501 + 
    192*b139*b502 + 960*b139*b503 + 9504*b139*b504 + 5376*b139*b505 + 6720*b139
    *b506 + 9504*b139*b507 + 5760*b139*b508 + 5180*b139*b509 + 12136*b139*b510
     + 2220*b139*b511 + 13320*b139*b512 + 11248*b139*b514 + 13468*b139*b515 + 
    1924*b139*b516 + 4292*b139*b517 + 1628*b139*b518 + 11396*b139*b519 + 4736*
    b139*b520 + 12876*b139*b521 + 9916*b139*b522 + 13912*b139*b523 + 296*b139*
    b524 + 1480*b139*b525 + 14652*b139*b526 + 8288*b139*b527 + 10360*b139*b528
     + 14652*b139*b529 + 8880*b139*b530 + 5822*b139*b534 + 11218*b139*b535 + 
    568*b139*b536 + 5166*b139*b537 + 9954*b139*b538 + 504*b139*b539 + 3608*b139
    *b540 + 6952*b139*b541 + 352*b139*b542 + 1804*b139*b543 + 3476*b139*b544 + 
    176*b139*b545 + 2706*b139*b549 + 5214*b139*b550 + 264*b139*b551 + 82*b139*
    b552 + 158*b139*b553 + 8*b139*b554 + 5822*b139*b555 + 11218*b139*b556 + 568
    *b139*b557 + 5904*b139*b558 + 11376*b139*b559 + 576*b139*b560 + 2132*b139*
    b561 + 4108*b139*b562 + 208*b139*b563 + 7052*b139*b564 + 13588*b139*b565 + 
    688*b139*b566 + 5494*b139*b567 + 10586*b139*b568 + 536*b139*b569 + 5494*
    b139*b570 + 10586*b139*b571 + 536*b139*b572 + 1968*b139*b573 + 3792*b139*
    b574 + 192*b139*b575 + 820*b139*b576 + 1580*b139*b577 + 80*b139*b578 + 3772
    *b139*b579 + 7268*b139*b580 + 368*b139*b581 + 4592*b139*b582 + 8848*b139*
    b583 + 448*b139*b584 + 4592*b139*b585 + 8848*b139*b586 + 448*b139*b587 + 
    5658*b139*b588 + 10902*b139*b589 + 552*b139*b590 + 4346*b139*b591 + 8374*
    b139*b592 + 424*b139*b593 + 3936*b139*b594 + 7584*b139*b595 + 384*b139*b596
     + 6068*b139*b597 + 11692*b139*b598 + 592*b139*b599 + 6396*b139*b600 + 1170
    *b139*b601 + 7020*b139*b602 + 5928*b139*b604 + 7098*b139*b605 + 1014*b139*
    b606 + 2262*b139*b607 + 858*b139*b608 + 6006*b139*b609 + 2496*b139*b610 + 
    6786*b139*b611 + 5226*b139*b612 + 7332*b139*b613 + 6162*b139*b614 + 156*
    b139*b615 + 780*b139*b616 + 7722*b139*b617 + 4368*b139*b618 + 5460*b139*
    b619 + 7722*b139*b620 + 4680*b139*b621 + 312*b139*b622 + 2730*b139*b623 + 
    7872*b139*b624 + 15168*b139*b625 + 768*b139*b626 + 5412*b140*b157 + 396*
    b140*b158 + 726*b140*b159 + 4356*b140*b160 + 5016*b140*b161 + 3696*b140*
    b163 + 132*b140*b164 + 3960*b140*b165 + 4752*b140*b166 + 4884*b140*b167 + 
    3036*b140*b168 + 858*b140*b169 + 1320*b140*b170 + 5676*b140*b171 + 5082*
    b140*b172 + 990*b140*b173 + 5874*b140*b174 + 3168*b140*b175 + 924*b140*b176
     + 5874*b140*b177 + 2904*b140*b178 + 164*b140*b179 + 12*b140*b180 + 22*b140
    *b181 + 132*b140*b182 + 152*b140*b183 + 112*b140*b185 + 4*b140*b186 + 120*
    b140*b187 + 144*b140*b188 + 148*b140*b189 + 92*b140*b190 + 26*b140*b191 + 
    40*b140*b192 + 172*b140*b193 + 154*b140*b194 + 30*b140*b195 + 178*b140*b196
     + 96*b140*b197 + 28*b140*b198 + 178*b140*b199 + 88*b140*b200 + 11644*b140*
    b201 + 852*b140*b202 + 1562*b140*b203 + 9372*b140*b204 + 10792*b140*b205 + 
    7952*b140*b207 + 284*b140*b208 + 8520*b140*b209 + 10224*b140*b210 + 10508*
    b140*b211 + 6532*b140*b212 + 1846*b140*b213 + 2840*b140*b214 + 12212*b140*
    b215 + 10934*b140*b216 + 2130*b140*b217 + 12638*b140*b218 + 6816*b140*b219
     + 1988*b140*b220 + 12638*b140*b221 + 6248*b140*b222 + 11808*b140*b223 + 
    864*b140*b224 + 1584*b140*b225 + 9504*b140*b226 + 10944*b140*b227 + 8064*
    b140*b229 + 288*b140*b230 + 8640*b140*b231 + 10368*b140*b232 + 10656*b140*
    b233 + 6624*b140*b234 + 1872*b140*b235 + 2880*b140*b236 + 12384*b140*b237
     + 11088*b140*b238 + 2160*b140*b239 + 12816*b140*b240 + 6912*b140*b241 + 
    2016*b140*b242 + 12816*b140*b243 + 6336*b140*b244 + 4264*b140*b245 + 312*
    b140*b246 + 572*b140*b247 + 3432*b140*b248 + 3952*b140*b249 + 2912*b140*
    b251 + 104*b140*b252 + 3120*b140*b253 + 3744*b140*b254 + 3848*b140*b255 + 
    2392*b140*b256 + 676*b140*b257 + 1040*b140*b258 + 4472*b140*b259 + 4004*
    b140*b260 + 780*b140*b261 + 4628*b140*b262 + 2496*b140*b263 + 728*b140*b264
     + 4628*b140*b265 + 2288*b140*b266 + 14104*b140*b267 + 1032*b140*b268 + 
    1892*b140*b269 + 11352*b140*b270 + 13072*b140*b271 + 9632*b140*b273 + 344*
    b140*b274 + 10320*b140*b275 + 12384*b140*b276 + 12728*b140*b277 + 7912*b140
    *b278 + 2236*b140*b279 + 3440*b140*b280 + 14792*b140*b281 + 13244*b140*b282
     + 2580*b140*b283 + 15308*b140*b284 + 8256*b140*b285 + 2408*b140*b286 + 
    15308*b140*b287 + 7568*b140*b288 + 10988*b140*b289 + 804*b140*b290 + 1474*
    b140*b291 + 8844*b140*b292 + 10184*b140*b293 + 7504*b140*b295 + 268*b140*
    b296 + 8040*b140*b297 + 9648*b140*b298 + 9916*b140*b299 + 6164*b140*b300 + 
    1742*b140*b301 + 2680*b140*b302 + 11524*b140*b303 + 10318*b140*b304 + 2010*
    b140*b305 + 11926*b140*b306 + 6432*b140*b307 + 1876*b140*b308 + 11926*b140*
    b309 + 5896*b140*b310 + 10988*b140*b311 + 804*b140*b312 + 1474*b140*b313 + 
    8844*b140*b314 + 10184*b140*b315 + 7504*b140*b317 + 268*b140*b318 + 8040*
    b140*b319 + 9648*b140*b320 + 9916*b140*b321 + 6164*b140*b322 + 1742*b140*
    b323 + 2680*b140*b324 + 11524*b140*b325 + 10318*b140*b326 + 2010*b140*b327
     + 11926*b140*b328 + 6432*b140*b329 + 1876*b140*b330 + 11926*b140*b331 + 
    5896*b140*b332 + 3936*b140*b333 + 288*b140*b334 + 528*b140*b335 + 3168*b140
    *b336 + 3648*b140*b337 + 2688*b140*b339 + 96*b140*b340 + 2880*b140*b341 + 
    3456*b140*b342 + 3552*b140*b343 + 2208*b140*b344 + 624*b140*b345 + 960*b140
    *b346 + 4128*b140*b347 + 3696*b140*b348 + 720*b140*b349 + 4272*b140*b350 + 
    2304*b140*b351 + 672*b140*b352 + 4272*b140*b353 + 2112*b140*b354 + 1640*
    b140*b355 + 120*b140*b356 + 220*b140*b357 + 1320*b140*b358 + 1520*b140*b359
     + 1120*b140*b361 + 40*b140*b362 + 1200*b140*b363 + 1440*b140*b364 + 1480*
    b140*b365 + 920*b140*b366 + 260*b140*b367 + 400*b140*b368 + 1720*b140*b369
     + 1540*b140*b370 + 300*b140*b371 + 1780*b140*b372 + 960*b140*b373 + 280*
    b140*b374 + 1780*b140*b375 + 880*b140*b376 + 7544*b140*b377 + 552*b140*b378
     + 1012*b140*b379 + 6072*b140*b380 + 6992*b140*b381 + 5152*b140*b383 + 184*
    b140*b384 + 5520*b140*b385 + 6624*b140*b386 + 6808*b140*b387 + 4232*b140*
    b388 + 1196*b140*b389 + 1840*b140*b390 + 7912*b140*b391 + 7084*b140*b392 + 
    1380*b140*b393 + 8188*b140*b394 + 4416*b140*b395 + 1288*b140*b396 + 8188*
    b140*b397 + 4048*b140*b398 + 9184*b140*b399 + 672*b140*b400 + 1232*b140*
    b401 + 7392*b140*b402 + 8512*b140*b403 + 6272*b140*b405 + 224*b140*b406 + 
    6720*b140*b407 + 8064*b140*b408 + 8288*b140*b409 + 5152*b140*b410 + 1456*
    b140*b411 + 2240*b140*b412 + 9632*b140*b413 + 8624*b140*b414 + 1680*b140*
    b415 + 9968*b140*b416 + 5376*b140*b417 + 1568*b140*b418 + 9968*b140*b419 + 
    4928*b140*b420 + 9184*b140*b421 + 672*b140*b422 + 1232*b140*b423 + 7392*
    b140*b424 + 8512*b140*b425 + 6272*b140*b427 + 224*b140*b428 + 6720*b140*
    b429 + 8064*b140*b430 + 8288*b140*b431 + 5152*b140*b432 + 1456*b140*b433 + 
    2240*b140*b434 + 9632*b140*b435 + 8624*b140*b436 + 1680*b140*b437 + 9968*
    b140*b438 + 5376*b140*b439 + 1568*b140*b440 + 9968*b140*b441 + 4928*b140*
    b442 + 11316*b140*b443 + 828*b140*b444 + 1518*b140*b445 + 9108*b140*b446 + 
    10488*b140*b447 + 7728*b140*b449 + 276*b140*b450 + 8280*b140*b451 + 9936*
    b140*b452 + 10212*b140*b453 + 6348*b140*b454 + 1794*b140*b455 + 2760*b140*
    b456 + 11868*b140*b457 + 10626*b140*b458 + 2070*b140*b459 + 12282*b140*b460
     + 6624*b140*b461 + 1932*b140*b462 + 12282*b140*b463 + 6072*b140*b464 + 
    8692*b140*b465 + 636*b140*b466 + 1166*b140*b467 + 6996*b140*b468 + 8056*
    b140*b469 + 5936*b140*b471 + 212*b140*b472 + 6360*b140*b473 + 7632*b140*
    b474 + 7844*b140*b475 + 4876*b140*b476 + 1378*b140*b477 + 2120*b140*b478 + 
    9116*b140*b479 + 8162*b140*b480 + 1590*b140*b481 + 9434*b140*b482 + 5088*
    b140*b483 + 1484*b140*b484 + 9434*b140*b485 + 4664*b140*b486 + 7872*b140*
    b487 + 576*b140*b488 + 1056*b140*b489 + 6336*b140*b490 + 7296*b140*b491 + 
    5376*b140*b493 + 192*b140*b494 + 5760*b140*b495 + 6912*b140*b496 + 7104*
    b140*b497 + 4416*b140*b498 + 1248*b140*b499 + 1920*b140*b500 + 8256*b140*
    b501 + 7392*b140*b502 + 1440*b140*b503 + 8544*b140*b504 + 4608*b140*b505 + 
    1344*b140*b506 + 8544*b140*b507 + 4224*b140*b508 + 12136*b140*b509 + 888*
    b140*b510 + 1628*b140*b511 + 9768*b140*b512 + 11248*b140*b513 + 8288*b140*
    b515 + 296*b140*b516 + 8880*b140*b517 + 10656*b140*b518 + 10952*b140*b519
     + 6808*b140*b520 + 1924*b140*b521 + 2960*b140*b522 + 12728*b140*b523 + 
    11396*b140*b524 + 2220*b140*b525 + 13172*b140*b526 + 7104*b140*b527 + 2072*
    b140*b528 + 13172*b140*b529 + 6512*b140*b530 + 852*b140*b534 + 568*b140*
    b535 + 8378*b140*b536 + 756*b140*b537 + 504*b140*b538 + 7434*b140*b539 + 
    528*b140*b540 + 352*b140*b541 + 5192*b140*b542 + 264*b140*b543 + 176*b140*
    b544 + 2596*b140*b545 + 396*b140*b549 + 264*b140*b550 + 3894*b140*b551 + 12
    *b140*b552 + 8*b140*b553 + 118*b140*b554 + 852*b140*b555 + 568*b140*b556 + 
    8378*b140*b557 + 864*b140*b558 + 576*b140*b559 + 8496*b140*b560 + 312*b140*
    b561 + 208*b140*b562 + 3068*b140*b563 + 1032*b140*b564 + 688*b140*b565 + 
    10148*b140*b566 + 804*b140*b567 + 536*b140*b568 + 7906*b140*b569 + 804*b140
    *b570 + 536*b140*b571 + 7906*b140*b572 + 288*b140*b573 + 192*b140*b574 + 
    2832*b140*b575 + 120*b140*b576 + 80*b140*b577 + 1180*b140*b578 + 552*b140*
    b579 + 368*b140*b580 + 5428*b140*b581 + 672*b140*b582 + 448*b140*b583 + 
    6608*b140*b584 + 672*b140*b585 + 448*b140*b586 + 6608*b140*b587 + 828*b140*
    b588 + 552*b140*b589 + 8142*b140*b590 + 636*b140*b591 + 424*b140*b592 + 
    6254*b140*b593 + 576*b140*b594 + 384*b140*b595 + 5664*b140*b596 + 888*b140*
    b597 + 592*b140*b598 + 8732*b140*b599 + 468*b140*b600 + 858*b140*b601 + 
    5148*b140*b602 + 5928*b140*b603 + 4368*b140*b605 + 156*b140*b606 + 4680*
    b140*b607 + 5616*b140*b608 + 5772*b140*b609 + 3588*b140*b610 + 1014*b140*
    b611 + 1560*b140*b612 + 6708*b140*b613 + 312*b140*b614 + 6006*b140*b615 + 
    1170*b140*b616 + 6942*b140*b617 + 3744*b140*b618 + 1092*b140*b619 + 6942*
    b140*b620 + 3432*b140*b621 + 4602*b140*b622 + 6396*b140*b623 + 1152*b140*
    b624 + 768*b140*b625 + 11328*b140*b626 + 1716*b141*b157 + 4686*b141*b158 + 
    2310*b141*b159 + 2706*b141*b160 + 6006*b141*b161 + 3696*b141*b162 + 1452*
    b141*b164 + 3762*b141*b165 + 4158*b141*b166 + 396*b141*b167 + 4092*b141*
    b169 + 2706*b141*b170 + 4092*b141*b171 + 1650*b141*b172 + 4950*b141*b173 + 
    5016*b141*b174 + 2640*b141*b175 + 4356*b141*b176 + 3828*b141*b177 + 1980*
    b141*b178 + 52*b141*b179 + 142*b141*b180 + 70*b141*b181 + 82*b141*b182 + 
    182*b141*b183 + 112*b141*b184 + 44*b141*b186 + 114*b141*b187 + 126*b141*
    b188 + 12*b141*b189 + 124*b141*b191 + 82*b141*b192 + 124*b141*b193 + 50*
    b141*b194 + 150*b141*b195 + 152*b141*b196 + 80*b141*b197 + 132*b141*b198 + 
    116*b141*b199 + 60*b141*b200 + 3692*b141*b201 + 10082*b141*b202 + 4970*b141
    *b203 + 5822*b141*b204 + 12922*b141*b205 + 7952*b141*b206 + 3124*b141*b208
     + 8094*b141*b209 + 8946*b141*b210 + 852*b141*b211 + 8804*b141*b213 + 5822*
    b141*b214 + 8804*b141*b215 + 3550*b141*b216 + 10650*b141*b217 + 10792*b141*
    b218 + 5680*b141*b219 + 9372*b141*b220 + 8236*b141*b221 + 4260*b141*b222 + 
    3744*b141*b223 + 10224*b141*b224 + 5040*b141*b225 + 5904*b141*b226 + 13104*
    b141*b227 + 8064*b141*b228 + 3168*b141*b230 + 8208*b141*b231 + 9072*b141*
    b232 + 864*b141*b233 + 8928*b141*b235 + 5904*b141*b236 + 8928*b141*b237 + 
    3600*b141*b238 + 10800*b141*b239 + 10944*b141*b240 + 5760*b141*b241 + 9504*
    b141*b242 + 8352*b141*b243 + 4320*b141*b244 + 1352*b141*b245 + 3692*b141*
    b246 + 1820*b141*b247 + 2132*b141*b248 + 4732*b141*b249 + 2912*b141*b250 + 
    1144*b141*b252 + 2964*b141*b253 + 3276*b141*b254 + 312*b141*b255 + 3224*
    b141*b257 + 2132*b141*b258 + 3224*b141*b259 + 1300*b141*b260 + 3900*b141*
    b261 + 3952*b141*b262 + 2080*b141*b263 + 3432*b141*b264 + 3016*b141*b265 + 
    1560*b141*b266 + 4472*b141*b267 + 12212*b141*b268 + 6020*b141*b269 + 7052*
    b141*b270 + 15652*b141*b271 + 9632*b141*b272 + 3784*b141*b274 + 9804*b141*
    b275 + 10836*b141*b276 + 1032*b141*b277 + 10664*b141*b279 + 7052*b141*b280
     + 10664*b141*b281 + 4300*b141*b282 + 12900*b141*b283 + 13072*b141*b284 + 
    6880*b141*b285 + 11352*b141*b286 + 9976*b141*b287 + 5160*b141*b288 + 3484*
    b141*b289 + 9514*b141*b290 + 4690*b141*b291 + 5494*b141*b292 + 12194*b141*
    b293 + 7504*b141*b294 + 2948*b141*b296 + 7638*b141*b297 + 8442*b141*b298 + 
    804*b141*b299 + 8308*b141*b301 + 5494*b141*b302 + 8308*b141*b303 + 3350*
    b141*b304 + 10050*b141*b305 + 10184*b141*b306 + 5360*b141*b307 + 8844*b141*
    b308 + 7772*b141*b309 + 4020*b141*b310 + 3484*b141*b311 + 9514*b141*b312 + 
    4690*b141*b313 + 5494*b141*b314 + 12194*b141*b315 + 7504*b141*b316 + 2948*
    b141*b318 + 7638*b141*b319 + 8442*b141*b320 + 804*b141*b321 + 8308*b141*
    b323 + 5494*b141*b324 + 8308*b141*b325 + 3350*b141*b326 + 10050*b141*b327
     + 10184*b141*b328 + 5360*b141*b329 + 8844*b141*b330 + 7772*b141*b331 + 
    4020*b141*b332 + 1248*b141*b333 + 3408*b141*b334 + 1680*b141*b335 + 1968*
    b141*b336 + 4368*b141*b337 + 2688*b141*b338 + 1056*b141*b340 + 2736*b141*
    b341 + 3024*b141*b342 + 288*b141*b343 + 2976*b141*b345 + 1968*b141*b346 + 
    2976*b141*b347 + 1200*b141*b348 + 3600*b141*b349 + 3648*b141*b350 + 1920*
    b141*b351 + 3168*b141*b352 + 2784*b141*b353 + 1440*b141*b354 + 520*b141*
    b355 + 1420*b141*b356 + 700*b141*b357 + 820*b141*b358 + 1820*b141*b359 + 
    1120*b141*b360 + 440*b141*b362 + 1140*b141*b363 + 1260*b141*b364 + 120*b141
    *b365 + 1240*b141*b367 + 820*b141*b368 + 1240*b141*b369 + 500*b141*b370 + 
    1500*b141*b371 + 1520*b141*b372 + 800*b141*b373 + 1320*b141*b374 + 1160*
    b141*b375 + 600*b141*b376 + 2392*b141*b377 + 6532*b141*b378 + 3220*b141*
    b379 + 3772*b141*b380 + 8372*b141*b381 + 5152*b141*b382 + 2024*b141*b384 + 
    5244*b141*b385 + 5796*b141*b386 + 552*b141*b387 + 5704*b141*b389 + 3772*
    b141*b390 + 5704*b141*b391 + 2300*b141*b392 + 6900*b141*b393 + 6992*b141*
    b394 + 3680*b141*b395 + 6072*b141*b396 + 5336*b141*b397 + 2760*b141*b398 + 
    2912*b141*b399 + 7952*b141*b400 + 3920*b141*b401 + 4592*b141*b402 + 10192*
    b141*b403 + 6272*b141*b404 + 2464*b141*b406 + 6384*b141*b407 + 7056*b141*
    b408 + 672*b141*b409 + 6944*b141*b411 + 4592*b141*b412 + 6944*b141*b413 + 
    2800*b141*b414 + 8400*b141*b415 + 8512*b141*b416 + 4480*b141*b417 + 7392*
    b141*b418 + 6496*b141*b419 + 3360*b141*b420 + 2912*b141*b421 + 7952*b141*
    b422 + 3920*b141*b423 + 4592*b141*b424 + 10192*b141*b425 + 6272*b141*b426
     + 2464*b141*b428 + 6384*b141*b429 + 7056*b141*b430 + 672*b141*b431 + 6944*
    b141*b433 + 4592*b141*b434 + 6944*b141*b435 + 2800*b141*b436 + 8400*b141*
    b437 + 8512*b141*b438 + 4480*b141*b439 + 7392*b141*b440 + 6496*b141*b441 + 
    3360*b141*b442 + 3588*b141*b443 + 9798*b141*b444 + 4830*b141*b445 + 5658*
    b141*b446 + 12558*b141*b447 + 7728*b141*b448 + 3036*b141*b450 + 7866*b141*
    b451 + 8694*b141*b452 + 828*b141*b453 + 8556*b141*b455 + 5658*b141*b456 + 
    8556*b141*b457 + 3450*b141*b458 + 10350*b141*b459 + 10488*b141*b460 + 5520*
    b141*b461 + 9108*b141*b462 + 8004*b141*b463 + 4140*b141*b464 + 2756*b141*
    b465 + 7526*b141*b466 + 3710*b141*b467 + 4346*b141*b468 + 9646*b141*b469 + 
    5936*b141*b470 + 2332*b141*b472 + 6042*b141*b473 + 6678*b141*b474 + 636*
    b141*b475 + 6572*b141*b477 + 4346*b141*b478 + 6572*b141*b479 + 2650*b141*
    b480 + 7950*b141*b481 + 8056*b141*b482 + 4240*b141*b483 + 6996*b141*b484 + 
    6148*b141*b485 + 3180*b141*b486 + 2496*b141*b487 + 6816*b141*b488 + 3360*
    b141*b489 + 3936*b141*b490 + 8736*b141*b491 + 5376*b141*b492 + 2112*b141*
    b494 + 5472*b141*b495 + 6048*b141*b496 + 576*b141*b497 + 5952*b141*b499 + 
    3936*b141*b500 + 5952*b141*b501 + 2400*b141*b502 + 7200*b141*b503 + 7296*
    b141*b504 + 3840*b141*b505 + 6336*b141*b506 + 5568*b141*b507 + 2880*b141*
    b508 + 3848*b141*b509 + 10508*b141*b510 + 5180*b141*b511 + 6068*b141*b512
     + 13468*b141*b513 + 8288*b141*b514 + 3256*b141*b516 + 8436*b141*b517 + 
    9324*b141*b518 + 888*b141*b519 + 9176*b141*b521 + 6068*b141*b522 + 9176*
    b141*b523 + 3700*b141*b524 + 11100*b141*b525 + 11248*b141*b526 + 5920*b141*
    b527 + 9768*b141*b528 + 8584*b141*b529 + 4440*b141*b530 + 3550*b141*b534 + 
    6532*b141*b535 + 9656*b141*b536 + 3150*b141*b537 + 5796*b141*b538 + 8568*
    b141*b539 + 2200*b141*b540 + 4048*b141*b541 + 5984*b141*b542 + 1100*b141*
    b543 + 2024*b141*b544 + 2992*b141*b545 + 1650*b141*b549 + 3036*b141*b550 + 
    4488*b141*b551 + 50*b141*b552 + 92*b141*b553 + 136*b141*b554 + 3550*b141*
    b555 + 6532*b141*b556 + 9656*b141*b557 + 3600*b141*b558 + 6624*b141*b559 + 
    9792*b141*b560 + 1300*b141*b561 + 2392*b141*b562 + 3536*b141*b563 + 4300*
    b141*b564 + 7912*b141*b565 + 11696*b141*b566 + 3350*b141*b567 + 6164*b141*
    b568 + 9112*b141*b569 + 3350*b141*b570 + 6164*b141*b571 + 9112*b141*b572 + 
    1200*b141*b573 + 2208*b141*b574 + 3264*b141*b575 + 500*b141*b576 + 920*b141
    *b577 + 1360*b141*b578 + 2300*b141*b579 + 4232*b141*b580 + 6256*b141*b581
     + 2800*b141*b582 + 5152*b141*b583 + 7616*b141*b584 + 2800*b141*b585 + 5152
    *b141*b586 + 7616*b141*b587 + 3450*b141*b588 + 6348*b141*b589 + 9384*b141*
    b590 + 2650*b141*b591 + 4876*b141*b592 + 7208*b141*b593 + 2400*b141*b594 + 
    4416*b141*b595 + 6528*b141*b596 + 3700*b141*b597 + 6808*b141*b598 + 10064*
    b141*b599 + 5538*b141*b600 + 2730*b141*b601 + 3198*b141*b602 + 7098*b141*
    b603 + 4368*b141*b604 + 1716*b141*b606 + 4446*b141*b607 + 4914*b141*b608 + 
    468*b141*b609 + 4836*b141*b611 + 3198*b141*b612 + 4836*b141*b613 + 3588*
    b141*b614 + 1950*b141*b615 + 5850*b141*b616 + 5928*b141*b617 + 3120*b141*
    b618 + 5148*b141*b619 + 4524*b141*b620 + 2340*b141*b621 + 5304*b141*b622 + 
    2028*b141*b623 + 4800*b141*b624 + 8832*b141*b625 + 13056*b141*b626 + 4554*
    b142*b157 + 528*b142*b158 + 726*b142*b159 + 990*b142*b160 + 858*b142*b161
     + 132*b142*b162 + 1452*b142*b163 + 5148*b142*b165 + 6006*b142*b166 + 858*
    b142*b167 + 3894*b142*b168 + 3234*b142*b169 + 5610*b142*b170 + 5544*b142*
    b171 + 2508*b142*b172 + 2706*b142*b173 + 3696*b142*b174 + 2574*b142*b175 + 
    3498*b142*b176 + 5082*b142*b177 + 3300*b142*b178 + 138*b142*b179 + 16*b142*
    b180 + 22*b142*b181 + 30*b142*b182 + 26*b142*b183 + 4*b142*b184 + 44*b142*
    b185 + 156*b142*b187 + 182*b142*b188 + 26*b142*b189 + 118*b142*b190 + 98*
    b142*b191 + 170*b142*b192 + 168*b142*b193 + 76*b142*b194 + 82*b142*b195 + 
    112*b142*b196 + 78*b142*b197 + 106*b142*b198 + 154*b142*b199 + 100*b142*
    b200 + 9798*b142*b201 + 1136*b142*b202 + 1562*b142*b203 + 2130*b142*b204 + 
    1846*b142*b205 + 284*b142*b206 + 3124*b142*b207 + 11076*b142*b209 + 12922*
    b142*b210 + 1846*b142*b211 + 8378*b142*b212 + 6958*b142*b213 + 12070*b142*
    b214 + 11928*b142*b215 + 5396*b142*b216 + 5822*b142*b217 + 7952*b142*b218
     + 5538*b142*b219 + 7526*b142*b220 + 10934*b142*b221 + 7100*b142*b222 + 
    9936*b142*b223 + 1152*b142*b224 + 1584*b142*b225 + 2160*b142*b226 + 1872*
    b142*b227 + 288*b142*b228 + 3168*b142*b229 + 11232*b142*b231 + 13104*b142*
    b232 + 1872*b142*b233 + 8496*b142*b234 + 7056*b142*b235 + 12240*b142*b236
     + 12096*b142*b237 + 5472*b142*b238 + 5904*b142*b239 + 8064*b142*b240 + 
    5616*b142*b241 + 7632*b142*b242 + 11088*b142*b243 + 7200*b142*b244 + 3588*
    b142*b245 + 416*b142*b246 + 572*b142*b247 + 780*b142*b248 + 676*b142*b249
     + 104*b142*b250 + 1144*b142*b251 + 4056*b142*b253 + 4732*b142*b254 + 676*
    b142*b255 + 3068*b142*b256 + 2548*b142*b257 + 4420*b142*b258 + 4368*b142*
    b259 + 1976*b142*b260 + 2132*b142*b261 + 2912*b142*b262 + 2028*b142*b263 + 
    2756*b142*b264 + 4004*b142*b265 + 2600*b142*b266 + 11868*b142*b267 + 1376*
    b142*b268 + 1892*b142*b269 + 2580*b142*b270 + 2236*b142*b271 + 344*b142*
    b272 + 3784*b142*b273 + 13416*b142*b275 + 15652*b142*b276 + 2236*b142*b277
     + 10148*b142*b278 + 8428*b142*b279 + 14620*b142*b280 + 14448*b142*b281 + 
    6536*b142*b282 + 7052*b142*b283 + 9632*b142*b284 + 6708*b142*b285 + 9116*
    b142*b286 + 13244*b142*b287 + 8600*b142*b288 + 9246*b142*b289 + 1072*b142*
    b290 + 1474*b142*b291 + 2010*b142*b292 + 1742*b142*b293 + 268*b142*b294 + 
    2948*b142*b295 + 10452*b142*b297 + 12194*b142*b298 + 1742*b142*b299 + 7906*
    b142*b300 + 6566*b142*b301 + 11390*b142*b302 + 11256*b142*b303 + 5092*b142*
    b304 + 5494*b142*b305 + 7504*b142*b306 + 5226*b142*b307 + 7102*b142*b308 + 
    10318*b142*b309 + 6700*b142*b310 + 9246*b142*b311 + 1072*b142*b312 + 1474*
    b142*b313 + 2010*b142*b314 + 1742*b142*b315 + 268*b142*b316 + 2948*b142*
    b317 + 10452*b142*b319 + 12194*b142*b320 + 1742*b142*b321 + 7906*b142*b322
     + 6566*b142*b323 + 11390*b142*b324 + 11256*b142*b325 + 5092*b142*b326 + 
    5494*b142*b327 + 7504*b142*b328 + 5226*b142*b329 + 7102*b142*b330 + 10318*
    b142*b331 + 6700*b142*b332 + 3312*b142*b333 + 384*b142*b334 + 528*b142*b335
     + 720*b142*b336 + 624*b142*b337 + 96*b142*b338 + 1056*b142*b339 + 3744*
    b142*b341 + 4368*b142*b342 + 624*b142*b343 + 2832*b142*b344 + 2352*b142*
    b345 + 4080*b142*b346 + 4032*b142*b347 + 1824*b142*b348 + 1968*b142*b349 + 
    2688*b142*b350 + 1872*b142*b351 + 2544*b142*b352 + 3696*b142*b353 + 2400*
    b142*b354 + 1380*b142*b355 + 160*b142*b356 + 220*b142*b357 + 300*b142*b358
     + 260*b142*b359 + 40*b142*b360 + 440*b142*b361 + 1560*b142*b363 + 1820*
    b142*b364 + 260*b142*b365 + 1180*b142*b366 + 980*b142*b367 + 1700*b142*b368
     + 1680*b142*b369 + 760*b142*b370 + 820*b142*b371 + 1120*b142*b372 + 780*
    b142*b373 + 1060*b142*b374 + 1540*b142*b375 + 1000*b142*b376 + 6348*b142*
    b377 + 736*b142*b378 + 1012*b142*b379 + 1380*b142*b380 + 1196*b142*b381 + 
    184*b142*b382 + 2024*b142*b383 + 7176*b142*b385 + 8372*b142*b386 + 1196*
    b142*b387 + 5428*b142*b388 + 4508*b142*b389 + 7820*b142*b390 + 7728*b142*
    b391 + 3496*b142*b392 + 3772*b142*b393 + 5152*b142*b394 + 3588*b142*b395 + 
    4876*b142*b396 + 7084*b142*b397 + 4600*b142*b398 + 7728*b142*b399 + 896*
    b142*b400 + 1232*b142*b401 + 1680*b142*b402 + 1456*b142*b403 + 224*b142*
    b404 + 2464*b142*b405 + 8736*b142*b407 + 10192*b142*b408 + 1456*b142*b409
     + 6608*b142*b410 + 5488*b142*b411 + 9520*b142*b412 + 9408*b142*b413 + 4256
    *b142*b414 + 4592*b142*b415 + 6272*b142*b416 + 4368*b142*b417 + 5936*b142*
    b418 + 8624*b142*b419 + 5600*b142*b420 + 7728*b142*b421 + 896*b142*b422 + 
    1232*b142*b423 + 1680*b142*b424 + 1456*b142*b425 + 224*b142*b426 + 2464*
    b142*b427 + 8736*b142*b429 + 10192*b142*b430 + 1456*b142*b431 + 6608*b142*
    b432 + 5488*b142*b433 + 9520*b142*b434 + 9408*b142*b435 + 4256*b142*b436 + 
    4592*b142*b437 + 6272*b142*b438 + 4368*b142*b439 + 5936*b142*b440 + 8624*
    b142*b441 + 5600*b142*b442 + 9522*b142*b443 + 1104*b142*b444 + 1518*b142*
    b445 + 2070*b142*b446 + 1794*b142*b447 + 276*b142*b448 + 3036*b142*b449 + 
    10764*b142*b451 + 12558*b142*b452 + 1794*b142*b453 + 8142*b142*b454 + 6762*
    b142*b455 + 11730*b142*b456 + 11592*b142*b457 + 5244*b142*b458 + 5658*b142*
    b459 + 7728*b142*b460 + 5382*b142*b461 + 7314*b142*b462 + 10626*b142*b463
     + 6900*b142*b464 + 7314*b142*b465 + 848*b142*b466 + 1166*b142*b467 + 1590*
    b142*b468 + 1378*b142*b469 + 212*b142*b470 + 2332*b142*b471 + 8268*b142*
    b473 + 9646*b142*b474 + 1378*b142*b475 + 6254*b142*b476 + 5194*b142*b477 + 
    9010*b142*b478 + 8904*b142*b479 + 4028*b142*b480 + 4346*b142*b481 + 5936*
    b142*b482 + 4134*b142*b483 + 5618*b142*b484 + 8162*b142*b485 + 5300*b142*
    b486 + 6624*b142*b487 + 768*b142*b488 + 1056*b142*b489 + 1440*b142*b490 + 
    1248*b142*b491 + 192*b142*b492 + 2112*b142*b493 + 7488*b142*b495 + 8736*
    b142*b496 + 1248*b142*b497 + 5664*b142*b498 + 4704*b142*b499 + 8160*b142*
    b500 + 8064*b142*b501 + 3648*b142*b502 + 3936*b142*b503 + 5376*b142*b504 + 
    3744*b142*b505 + 5088*b142*b506 + 7392*b142*b507 + 4800*b142*b508 + 10212*
    b142*b509 + 1184*b142*b510 + 1628*b142*b511 + 2220*b142*b512 + 1924*b142*
    b513 + 296*b142*b514 + 3256*b142*b515 + 11544*b142*b517 + 13468*b142*b518
     + 1924*b142*b519 + 8732*b142*b520 + 7252*b142*b521 + 12580*b142*b522 + 
    12432*b142*b523 + 5624*b142*b524 + 6068*b142*b525 + 8288*b142*b526 + 5772*
    b142*b527 + 7844*b142*b528 + 11396*b142*b529 + 7400*b142*b530 + 1420*b142*
    b534 + 1136*b142*b535 + 4260*b142*b536 + 1260*b142*b537 + 1008*b142*b538 + 
    3780*b142*b539 + 880*b142*b540 + 704*b142*b541 + 2640*b142*b542 + 440*b142*
    b543 + 352*b142*b544 + 1320*b142*b545 + 660*b142*b549 + 528*b142*b550 + 
    1980*b142*b551 + 20*b142*b552 + 16*b142*b553 + 60*b142*b554 + 1420*b142*
    b555 + 1136*b142*b556 + 4260*b142*b557 + 1440*b142*b558 + 1152*b142*b559 + 
    4320*b142*b560 + 520*b142*b561 + 416*b142*b562 + 1560*b142*b563 + 1720*b142
    *b564 + 1376*b142*b565 + 5160*b142*b566 + 1340*b142*b567 + 1072*b142*b568
     + 4020*b142*b569 + 1340*b142*b570 + 1072*b142*b571 + 4020*b142*b572 + 480*
    b142*b573 + 384*b142*b574 + 1440*b142*b575 + 200*b142*b576 + 160*b142*b577
     + 600*b142*b578 + 920*b142*b579 + 736*b142*b580 + 2760*b142*b581 + 1120*
    b142*b582 + 896*b142*b583 + 3360*b142*b584 + 1120*b142*b585 + 896*b142*b586
     + 3360*b142*b587 + 1380*b142*b588 + 1104*b142*b589 + 4140*b142*b590 + 1060
    *b142*b591 + 848*b142*b592 + 3180*b142*b593 + 960*b142*b594 + 768*b142*b595
     + 2880*b142*b596 + 1480*b142*b597 + 1184*b142*b598 + 4440*b142*b599 + 624*
    b142*b600 + 858*b142*b601 + 1170*b142*b602 + 1014*b142*b603 + 156*b142*b604
     + 1716*b142*b605 + 6084*b142*b607 + 7098*b142*b608 + 1014*b142*b609 + 4602
    *b142*b610 + 3822*b142*b611 + 6630*b142*b612 + 6552*b142*b613 + 624*b142*
    b614 + 2964*b142*b615 + 3198*b142*b616 + 4368*b142*b617 + 3042*b142*b618 + 
    4134*b142*b619 + 6006*b142*b620 + 3900*b142*b621 + 2340*b142*b622 + 5382*
    b142*b623 + 1920*b142*b624 + 1536*b142*b625 + 5760*b142*b626 + 3696*b143*
    b157 + 5082*b143*b158 + 1320*b143*b159 + 5478*b143*b160 + 1914*b143*b161 + 
    3960*b143*b162 + 3762*b143*b163 + 5148*b143*b164 + 3828*b143*b166 + 3630*
    b143*b167 + 1254*b143*b168 + 5610*b143*b169 + 3432*b143*b170 + 2244*b143*
    b171 + 2640*b143*b172 + 4554*b143*b173 + 792*b143*b174 + 5610*b143*b175 + 
    4752*b143*b176 + 462*b143*b177 + 3234*b143*b178 + 112*b143*b179 + 154*b143*
    b180 + 40*b143*b181 + 166*b143*b182 + 58*b143*b183 + 120*b143*b184 + 114*
    b143*b185 + 156*b143*b186 + 116*b143*b188 + 110*b143*b189 + 38*b143*b190 + 
    170*b143*b191 + 104*b143*b192 + 68*b143*b193 + 80*b143*b194 + 138*b143*b195
     + 24*b143*b196 + 170*b143*b197 + 144*b143*b198 + 14*b143*b199 + 98*b143*
    b200 + 7952*b143*b201 + 10934*b143*b202 + 2840*b143*b203 + 11786*b143*b204
     + 4118*b143*b205 + 8520*b143*b206 + 8094*b143*b207 + 11076*b143*b208 + 
    8236*b143*b210 + 7810*b143*b211 + 2698*b143*b212 + 12070*b143*b213 + 7384*
    b143*b214 + 4828*b143*b215 + 5680*b143*b216 + 9798*b143*b217 + 1704*b143*
    b218 + 12070*b143*b219 + 10224*b143*b220 + 994*b143*b221 + 6958*b143*b222
     + 8064*b143*b223 + 11088*b143*b224 + 2880*b143*b225 + 11952*b143*b226 + 
    4176*b143*b227 + 8640*b143*b228 + 8208*b143*b229 + 11232*b143*b230 + 8352*
    b143*b232 + 7920*b143*b233 + 2736*b143*b234 + 12240*b143*b235 + 7488*b143*
    b236 + 4896*b143*b237 + 5760*b143*b238 + 9936*b143*b239 + 1728*b143*b240 + 
    12240*b143*b241 + 10368*b143*b242 + 1008*b143*b243 + 7056*b143*b244 + 2912*
    b143*b245 + 4004*b143*b246 + 1040*b143*b247 + 4316*b143*b248 + 1508*b143*
    b249 + 3120*b143*b250 + 2964*b143*b251 + 4056*b143*b252 + 3016*b143*b254 + 
    2860*b143*b255 + 988*b143*b256 + 4420*b143*b257 + 2704*b143*b258 + 1768*
    b143*b259 + 2080*b143*b260 + 3588*b143*b261 + 624*b143*b262 + 4420*b143*
    b263 + 3744*b143*b264 + 364*b143*b265 + 2548*b143*b266 + 9632*b143*b267 + 
    13244*b143*b268 + 3440*b143*b269 + 14276*b143*b270 + 4988*b143*b271 + 10320
    *b143*b272 + 9804*b143*b273 + 13416*b143*b274 + 9976*b143*b276 + 9460*b143*
    b277 + 3268*b143*b278 + 14620*b143*b279 + 8944*b143*b280 + 5848*b143*b281
     + 6880*b143*b282 + 11868*b143*b283 + 2064*b143*b284 + 14620*b143*b285 + 
    12384*b143*b286 + 1204*b143*b287 + 8428*b143*b288 + 7504*b143*b289 + 10318*
    b143*b290 + 2680*b143*b291 + 11122*b143*b292 + 3886*b143*b293 + 8040*b143*
    b294 + 7638*b143*b295 + 10452*b143*b296 + 7772*b143*b298 + 7370*b143*b299
     + 2546*b143*b300 + 11390*b143*b301 + 6968*b143*b302 + 4556*b143*b303 + 
    5360*b143*b304 + 9246*b143*b305 + 1608*b143*b306 + 11390*b143*b307 + 9648*
    b143*b308 + 938*b143*b309 + 6566*b143*b310 + 7504*b143*b311 + 10318*b143*
    b312 + 2680*b143*b313 + 11122*b143*b314 + 3886*b143*b315 + 8040*b143*b316
     + 7638*b143*b317 + 10452*b143*b318 + 7772*b143*b320 + 7370*b143*b321 + 
    2546*b143*b322 + 11390*b143*b323 + 6968*b143*b324 + 4556*b143*b325 + 5360*
    b143*b326 + 9246*b143*b327 + 1608*b143*b328 + 11390*b143*b329 + 9648*b143*
    b330 + 938*b143*b331 + 6566*b143*b332 + 2688*b143*b333 + 3696*b143*b334 + 
    960*b143*b335 + 3984*b143*b336 + 1392*b143*b337 + 2880*b143*b338 + 2736*
    b143*b339 + 3744*b143*b340 + 2784*b143*b342 + 2640*b143*b343 + 912*b143*
    b344 + 4080*b143*b345 + 2496*b143*b346 + 1632*b143*b347 + 1920*b143*b348 + 
    3312*b143*b349 + 576*b143*b350 + 4080*b143*b351 + 3456*b143*b352 + 336*b143
    *b353 + 2352*b143*b354 + 1120*b143*b355 + 1540*b143*b356 + 400*b143*b357 + 
    1660*b143*b358 + 580*b143*b359 + 1200*b143*b360 + 1140*b143*b361 + 1560*
    b143*b362 + 1160*b143*b364 + 1100*b143*b365 + 380*b143*b366 + 1700*b143*
    b367 + 1040*b143*b368 + 680*b143*b369 + 800*b143*b370 + 1380*b143*b371 + 
    240*b143*b372 + 1700*b143*b373 + 1440*b143*b374 + 140*b143*b375 + 980*b143*
    b376 + 5152*b143*b377 + 7084*b143*b378 + 1840*b143*b379 + 7636*b143*b380 + 
    2668*b143*b381 + 5520*b143*b382 + 5244*b143*b383 + 7176*b143*b384 + 5336*
    b143*b386 + 5060*b143*b387 + 1748*b143*b388 + 7820*b143*b389 + 4784*b143*
    b390 + 3128*b143*b391 + 3680*b143*b392 + 6348*b143*b393 + 1104*b143*b394 + 
    7820*b143*b395 + 6624*b143*b396 + 644*b143*b397 + 4508*b143*b398 + 6272*
    b143*b399 + 8624*b143*b400 + 2240*b143*b401 + 9296*b143*b402 + 3248*b143*
    b403 + 6720*b143*b404 + 6384*b143*b405 + 8736*b143*b406 + 6496*b143*b408 + 
    6160*b143*b409 + 2128*b143*b410 + 9520*b143*b411 + 5824*b143*b412 + 3808*
    b143*b413 + 4480*b143*b414 + 7728*b143*b415 + 1344*b143*b416 + 9520*b143*
    b417 + 8064*b143*b418 + 784*b143*b419 + 5488*b143*b420 + 6272*b143*b421 + 
    8624*b143*b422 + 2240*b143*b423 + 9296*b143*b424 + 3248*b143*b425 + 6720*
    b143*b426 + 6384*b143*b427 + 8736*b143*b428 + 6496*b143*b430 + 6160*b143*
    b431 + 2128*b143*b432 + 9520*b143*b433 + 5824*b143*b434 + 3808*b143*b435 + 
    4480*b143*b436 + 7728*b143*b437 + 1344*b143*b438 + 9520*b143*b439 + 8064*
    b143*b440 + 784*b143*b441 + 5488*b143*b442 + 7728*b143*b443 + 10626*b143*
    b444 + 2760*b143*b445 + 11454*b143*b446 + 4002*b143*b447 + 8280*b143*b448
     + 7866*b143*b449 + 10764*b143*b450 + 8004*b143*b452 + 7590*b143*b453 + 
    2622*b143*b454 + 11730*b143*b455 + 7176*b143*b456 + 4692*b143*b457 + 5520*
    b143*b458 + 9522*b143*b459 + 1656*b143*b460 + 11730*b143*b461 + 9936*b143*
    b462 + 966*b143*b463 + 6762*b143*b464 + 5936*b143*b465 + 8162*b143*b466 + 
    2120*b143*b467 + 8798*b143*b468 + 3074*b143*b469 + 6360*b143*b470 + 6042*
    b143*b471 + 8268*b143*b472 + 6148*b143*b474 + 5830*b143*b475 + 2014*b143*
    b476 + 9010*b143*b477 + 5512*b143*b478 + 3604*b143*b479 + 4240*b143*b480 + 
    7314*b143*b481 + 1272*b143*b482 + 9010*b143*b483 + 7632*b143*b484 + 742*
    b143*b485 + 5194*b143*b486 + 5376*b143*b487 + 7392*b143*b488 + 1920*b143*
    b489 + 7968*b143*b490 + 2784*b143*b491 + 5760*b143*b492 + 5472*b143*b493 + 
    7488*b143*b494 + 5568*b143*b496 + 5280*b143*b497 + 1824*b143*b498 + 8160*
    b143*b499 + 4992*b143*b500 + 3264*b143*b501 + 3840*b143*b502 + 6624*b143*
    b503 + 1152*b143*b504 + 8160*b143*b505 + 6912*b143*b506 + 672*b143*b507 + 
    4704*b143*b508 + 8288*b143*b509 + 11396*b143*b510 + 2960*b143*b511 + 12284*
    b143*b512 + 4292*b143*b513 + 8880*b143*b514 + 8436*b143*b515 + 11544*b143*
    b516 + 8584*b143*b518 + 8140*b143*b519 + 2812*b143*b520 + 12580*b143*b521
     + 7696*b143*b522 + 5032*b143*b523 + 5920*b143*b524 + 10212*b143*b525 + 
    1776*b143*b526 + 12580*b143*b527 + 10656*b143*b528 + 1036*b143*b529 + 7252*
    b143*b530 + 568*b143*b534 + 7526*b143*b535 + 6532*b143*b536 + 504*b143*b537
     + 6678*b143*b538 + 5796*b143*b539 + 352*b143*b540 + 4664*b143*b541 + 4048*
    b143*b542 + 176*b143*b543 + 2332*b143*b544 + 2024*b143*b545 + 264*b143*b549
     + 3498*b143*b550 + 3036*b143*b551 + 8*b143*b552 + 106*b143*b553 + 92*b143*
    b554 + 568*b143*b555 + 7526*b143*b556 + 6532*b143*b557 + 576*b143*b558 + 
    7632*b143*b559 + 6624*b143*b560 + 208*b143*b561 + 2756*b143*b562 + 2392*
    b143*b563 + 688*b143*b564 + 9116*b143*b565 + 7912*b143*b566 + 536*b143*b567
     + 7102*b143*b568 + 6164*b143*b569 + 536*b143*b570 + 7102*b143*b571 + 6164*
    b143*b572 + 192*b143*b573 + 2544*b143*b574 + 2208*b143*b575 + 80*b143*b576
     + 1060*b143*b577 + 920*b143*b578 + 368*b143*b579 + 4876*b143*b580 + 4232*
    b143*b581 + 448*b143*b582 + 5936*b143*b583 + 5152*b143*b584 + 448*b143*b585
     + 5936*b143*b586 + 5152*b143*b587 + 552*b143*b588 + 7314*b143*b589 + 6348*
    b143*b590 + 424*b143*b591 + 5618*b143*b592 + 4876*b143*b593 + 384*b143*b594
     + 5088*b143*b595 + 4416*b143*b596 + 592*b143*b597 + 7844*b143*b598 + 6808*
    b143*b599 + 6006*b143*b600 + 1560*b143*b601 + 6474*b143*b602 + 2262*b143*
    b603 + 4680*b143*b604 + 4446*b143*b605 + 6084*b143*b606 + 4524*b143*b608 + 
    4290*b143*b609 + 1482*b143*b610 + 6630*b143*b611 + 4056*b143*b612 + 2652*
    b143*b613 + 4134*b143*b614 + 3120*b143*b615 + 5382*b143*b616 + 936*b143*
    b617 + 6630*b143*b618 + 5616*b143*b619 + 546*b143*b620 + 3822*b143*b621 + 
    3588*b143*b622 + 4368*b143*b623 + 768*b143*b624 + 10176*b143*b625 + 8832*
    b143*b626 + 5676*b144*b157 + 4884*b144*b158 + 1386*b144*b159 + 6336*b144*
    b160 + 726*b144*b161 + 4752*b144*b162 + 4158*b144*b163 + 6006*b144*b164 + 
    3828*b144*b165 + 5742*b144*b167 + 3828*b144*b168 + 1122*b144*b169 + 4488*
    b144*b170 + 1782*b144*b171 + 396*b144*b172 + 4422*b144*b173 + 1716*b144*
    b174 + 5412*b144*b175 + 2904*b144*b176 + 2310*b144*b177 + 198*b144*b178 + 
    172*b144*b179 + 148*b144*b180 + 42*b144*b181 + 192*b144*b182 + 22*b144*b183
     + 144*b144*b184 + 126*b144*b185 + 182*b144*b186 + 116*b144*b187 + 174*b144
    *b189 + 116*b144*b190 + 34*b144*b191 + 136*b144*b192 + 54*b144*b193 + 12*
    b144*b194 + 134*b144*b195 + 52*b144*b196 + 164*b144*b197 + 88*b144*b198 + 
    70*b144*b199 + 6*b144*b200 + 12212*b144*b201 + 10508*b144*b202 + 2982*b144*
    b203 + 13632*b144*b204 + 1562*b144*b205 + 10224*b144*b206 + 8946*b144*b207
     + 12922*b144*b208 + 8236*b144*b209 + 12354*b144*b211 + 8236*b144*b212 + 
    2414*b144*b213 + 9656*b144*b214 + 3834*b144*b215 + 852*b144*b216 + 9514*
    b144*b217 + 3692*b144*b218 + 11644*b144*b219 + 6248*b144*b220 + 4970*b144*
    b221 + 426*b144*b222 + 12384*b144*b223 + 10656*b144*b224 + 3024*b144*b225
     + 13824*b144*b226 + 1584*b144*b227 + 10368*b144*b228 + 9072*b144*b229 + 
    13104*b144*b230 + 8352*b144*b231 + 12528*b144*b233 + 8352*b144*b234 + 2448*
    b144*b235 + 9792*b144*b236 + 3888*b144*b237 + 864*b144*b238 + 9648*b144*
    b239 + 3744*b144*b240 + 11808*b144*b241 + 6336*b144*b242 + 5040*b144*b243
     + 432*b144*b244 + 4472*b144*b245 + 3848*b144*b246 + 1092*b144*b247 + 4992*
    b144*b248 + 572*b144*b249 + 3744*b144*b250 + 3276*b144*b251 + 4732*b144*
    b252 + 3016*b144*b253 + 4524*b144*b255 + 3016*b144*b256 + 884*b144*b257 + 
    3536*b144*b258 + 1404*b144*b259 + 312*b144*b260 + 3484*b144*b261 + 1352*
    b144*b262 + 4264*b144*b263 + 2288*b144*b264 + 1820*b144*b265 + 156*b144*
    b266 + 14792*b144*b267 + 12728*b144*b268 + 3612*b144*b269 + 16512*b144*b270
     + 1892*b144*b271 + 12384*b144*b272 + 10836*b144*b273 + 15652*b144*b274 + 
    9976*b144*b275 + 14964*b144*b277 + 9976*b144*b278 + 2924*b144*b279 + 11696*
    b144*b280 + 4644*b144*b281 + 1032*b144*b282 + 11524*b144*b283 + 4472*b144*
    b284 + 14104*b144*b285 + 7568*b144*b286 + 6020*b144*b287 + 516*b144*b288 + 
    11524*b144*b289 + 9916*b144*b290 + 2814*b144*b291 + 12864*b144*b292 + 1474*
    b144*b293 + 9648*b144*b294 + 8442*b144*b295 + 12194*b144*b296 + 7772*b144*
    b297 + 11658*b144*b299 + 7772*b144*b300 + 2278*b144*b301 + 9112*b144*b302
     + 3618*b144*b303 + 804*b144*b304 + 8978*b144*b305 + 3484*b144*b306 + 10988
    *b144*b307 + 5896*b144*b308 + 4690*b144*b309 + 402*b144*b310 + 11524*b144*
    b311 + 9916*b144*b312 + 2814*b144*b313 + 12864*b144*b314 + 1474*b144*b315
     + 9648*b144*b316 + 8442*b144*b317 + 12194*b144*b318 + 7772*b144*b319 + 
    11658*b144*b321 + 7772*b144*b322 + 2278*b144*b323 + 9112*b144*b324 + 3618*
    b144*b325 + 804*b144*b326 + 8978*b144*b327 + 3484*b144*b328 + 10988*b144*
    b329 + 5896*b144*b330 + 4690*b144*b331 + 402*b144*b332 + 4128*b144*b333 + 
    3552*b144*b334 + 1008*b144*b335 + 4608*b144*b336 + 528*b144*b337 + 3456*
    b144*b338 + 3024*b144*b339 + 4368*b144*b340 + 2784*b144*b341 + 4176*b144*
    b343 + 2784*b144*b344 + 816*b144*b345 + 3264*b144*b346 + 1296*b144*b347 + 
    288*b144*b348 + 3216*b144*b349 + 1248*b144*b350 + 3936*b144*b351 + 2112*
    b144*b352 + 1680*b144*b353 + 144*b144*b354 + 1720*b144*b355 + 1480*b144*
    b356 + 420*b144*b357 + 1920*b144*b358 + 220*b144*b359 + 1440*b144*b360 + 
    1260*b144*b361 + 1820*b144*b362 + 1160*b144*b363 + 1740*b144*b365 + 1160*
    b144*b366 + 340*b144*b367 + 1360*b144*b368 + 540*b144*b369 + 120*b144*b370
     + 1340*b144*b371 + 520*b144*b372 + 1640*b144*b373 + 880*b144*b374 + 700*
    b144*b375 + 60*b144*b376 + 7912*b144*b377 + 6808*b144*b378 + 1932*b144*b379
     + 8832*b144*b380 + 1012*b144*b381 + 6624*b144*b382 + 5796*b144*b383 + 8372
    *b144*b384 + 5336*b144*b385 + 8004*b144*b387 + 5336*b144*b388 + 1564*b144*
    b389 + 6256*b144*b390 + 2484*b144*b391 + 552*b144*b392 + 6164*b144*b393 + 
    2392*b144*b394 + 7544*b144*b395 + 4048*b144*b396 + 3220*b144*b397 + 276*
    b144*b398 + 9632*b144*b399 + 8288*b144*b400 + 2352*b144*b401 + 10752*b144*
    b402 + 1232*b144*b403 + 8064*b144*b404 + 7056*b144*b405 + 10192*b144*b406
     + 6496*b144*b407 + 9744*b144*b409 + 6496*b144*b410 + 1904*b144*b411 + 7616
    *b144*b412 + 3024*b144*b413 + 672*b144*b414 + 7504*b144*b415 + 2912*b144*
    b416 + 9184*b144*b417 + 4928*b144*b418 + 3920*b144*b419 + 336*b144*b420 + 
    9632*b144*b421 + 8288*b144*b422 + 2352*b144*b423 + 10752*b144*b424 + 1232*
    b144*b425 + 8064*b144*b426 + 7056*b144*b427 + 10192*b144*b428 + 6496*b144*
    b429 + 9744*b144*b431 + 6496*b144*b432 + 1904*b144*b433 + 7616*b144*b434 + 
    3024*b144*b435 + 672*b144*b436 + 7504*b144*b437 + 2912*b144*b438 + 9184*
    b144*b439 + 4928*b144*b440 + 3920*b144*b441 + 336*b144*b442 + 11868*b144*
    b443 + 10212*b144*b444 + 2898*b144*b445 + 13248*b144*b446 + 1518*b144*b447
     + 9936*b144*b448 + 8694*b144*b449 + 12558*b144*b450 + 8004*b144*b451 + 
    12006*b144*b453 + 8004*b144*b454 + 2346*b144*b455 + 9384*b144*b456 + 3726*
    b144*b457 + 828*b144*b458 + 9246*b144*b459 + 3588*b144*b460 + 11316*b144*
    b461 + 6072*b144*b462 + 4830*b144*b463 + 414*b144*b464 + 9116*b144*b465 + 
    7844*b144*b466 + 2226*b144*b467 + 10176*b144*b468 + 1166*b144*b469 + 7632*
    b144*b470 + 6678*b144*b471 + 9646*b144*b472 + 6148*b144*b473 + 9222*b144*
    b475 + 6148*b144*b476 + 1802*b144*b477 + 7208*b144*b478 + 2862*b144*b479 + 
    636*b144*b480 + 7102*b144*b481 + 2756*b144*b482 + 8692*b144*b483 + 4664*
    b144*b484 + 3710*b144*b485 + 318*b144*b486 + 8256*b144*b487 + 7104*b144*
    b488 + 2016*b144*b489 + 9216*b144*b490 + 1056*b144*b491 + 6912*b144*b492 + 
    6048*b144*b493 + 8736*b144*b494 + 5568*b144*b495 + 8352*b144*b497 + 5568*
    b144*b498 + 1632*b144*b499 + 6528*b144*b500 + 2592*b144*b501 + 576*b144*
    b502 + 6432*b144*b503 + 2496*b144*b504 + 7872*b144*b505 + 4224*b144*b506 + 
    3360*b144*b507 + 288*b144*b508 + 12728*b144*b509 + 10952*b144*b510 + 3108*
    b144*b511 + 14208*b144*b512 + 1628*b144*b513 + 10656*b144*b514 + 9324*b144*
    b515 + 13468*b144*b516 + 8584*b144*b517 + 12876*b144*b519 + 8584*b144*b520
     + 2516*b144*b521 + 10064*b144*b522 + 3996*b144*b523 + 888*b144*b524 + 9916
    *b144*b525 + 3848*b144*b526 + 12136*b144*b527 + 6512*b144*b528 + 5180*b144*
    b529 + 444*b144*b530 + 8946*b144*b534 + 2982*b144*b535 + 8804*b144*b536 + 
    7938*b144*b537 + 2646*b144*b538 + 7812*b144*b539 + 5544*b144*b540 + 1848*
    b144*b541 + 5456*b144*b542 + 2772*b144*b543 + 924*b144*b544 + 2728*b144*
    b545 + 4158*b144*b549 + 1386*b144*b550 + 4092*b144*b551 + 126*b144*b552 + 
    42*b144*b553 + 124*b144*b554 + 8946*b144*b555 + 2982*b144*b556 + 8804*b144*
    b557 + 9072*b144*b558 + 3024*b144*b559 + 8928*b144*b560 + 3276*b144*b561 + 
    1092*b144*b562 + 3224*b144*b563 + 10836*b144*b564 + 3612*b144*b565 + 10664*
    b144*b566 + 8442*b144*b567 + 2814*b144*b568 + 8308*b144*b569 + 8442*b144*
    b570 + 2814*b144*b571 + 8308*b144*b572 + 3024*b144*b573 + 1008*b144*b574 + 
    2976*b144*b575 + 1260*b144*b576 + 420*b144*b577 + 1240*b144*b578 + 5796*
    b144*b579 + 1932*b144*b580 + 5704*b144*b581 + 7056*b144*b582 + 2352*b144*
    b583 + 6944*b144*b584 + 7056*b144*b585 + 2352*b144*b586 + 6944*b144*b587 + 
    8694*b144*b588 + 2898*b144*b589 + 8556*b144*b590 + 6678*b144*b591 + 2226*
    b144*b592 + 6572*b144*b593 + 6048*b144*b594 + 2016*b144*b595 + 5952*b144*
    b596 + 9324*b144*b597 + 3108*b144*b598 + 9176*b144*b599 + 5772*b144*b600 + 
    1638*b144*b601 + 7488*b144*b602 + 858*b144*b603 + 5616*b144*b604 + 4914*
    b144*b605 + 7098*b144*b606 + 4524*b144*b607 + 6786*b144*b609 + 4524*b144*
    b610 + 1326*b144*b611 + 5304*b144*b612 + 2106*b144*b613 + 1638*b144*b614 + 
    468*b144*b615 + 5226*b144*b616 + 2028*b144*b617 + 6396*b144*b618 + 3432*
    b144*b619 + 2730*b144*b620 + 234*b144*b621 + 4836*b144*b622 + 6708*b144*
    b623 + 12096*b144*b624 + 4032*b144*b625 + 11904*b144*b626 + 2970*b145*b157
     + 1980*b145*b158 + 4026*b145*b159 + 4884*b145*b160 + 5082*b145*b161 + 4884
    *b145*b162 + 396*b145*b163 + 858*b145*b164 + 3630*b145*b165 + 5742*b145*
    b166 + 528*b145*b168 + 3366*b145*b169 + 66*b145*b170 + 6006*b145*b171 + 
    5742*b145*b172 + 4752*b145*b173 + 2970*b145*b174 + 6336*b145*b175 + 462*
    b145*b176 + 5742*b145*b177 + 4488*b145*b178 + 90*b145*b179 + 60*b145*b180
     + 122*b145*b181 + 148*b145*b182 + 154*b145*b183 + 148*b145*b184 + 12*b145*
    b185 + 26*b145*b186 + 110*b145*b187 + 174*b145*b188 + 16*b145*b190 + 102*
    b145*b191 + 2*b145*b192 + 182*b145*b193 + 174*b145*b194 + 144*b145*b195 + 
    90*b145*b196 + 192*b145*b197 + 14*b145*b198 + 174*b145*b199 + 136*b145*b200
     + 6390*b145*b201 + 4260*b145*b202 + 8662*b145*b203 + 10508*b145*b204 + 
    10934*b145*b205 + 10508*b145*b206 + 852*b145*b207 + 1846*b145*b208 + 7810*
    b145*b209 + 12354*b145*b210 + 1136*b145*b212 + 7242*b145*b213 + 142*b145*
    b214 + 12922*b145*b215 + 12354*b145*b216 + 10224*b145*b217 + 6390*b145*b218
     + 13632*b145*b219 + 994*b145*b220 + 12354*b145*b221 + 9656*b145*b222 + 
    6480*b145*b223 + 4320*b145*b224 + 8784*b145*b225 + 10656*b145*b226 + 11088*
    b145*b227 + 10656*b145*b228 + 864*b145*b229 + 1872*b145*b230 + 7920*b145*
    b231 + 12528*b145*b232 + 1152*b145*b234 + 7344*b145*b235 + 144*b145*b236 + 
    13104*b145*b237 + 12528*b145*b238 + 10368*b145*b239 + 6480*b145*b240 + 
    13824*b145*b241 + 1008*b145*b242 + 12528*b145*b243 + 9792*b145*b244 + 2340*
    b145*b245 + 1560*b145*b246 + 3172*b145*b247 + 3848*b145*b248 + 4004*b145*
    b249 + 3848*b145*b250 + 312*b145*b251 + 676*b145*b252 + 2860*b145*b253 + 
    4524*b145*b254 + 416*b145*b256 + 2652*b145*b257 + 52*b145*b258 + 4732*b145*
    b259 + 4524*b145*b260 + 3744*b145*b261 + 2340*b145*b262 + 4992*b145*b263 + 
    364*b145*b264 + 4524*b145*b265 + 3536*b145*b266 + 7740*b145*b267 + 5160*
    b145*b268 + 10492*b145*b269 + 12728*b145*b270 + 13244*b145*b271 + 12728*
    b145*b272 + 1032*b145*b273 + 2236*b145*b274 + 9460*b145*b275 + 14964*b145*
    b276 + 1376*b145*b278 + 8772*b145*b279 + 172*b145*b280 + 15652*b145*b281 + 
    14964*b145*b282 + 12384*b145*b283 + 7740*b145*b284 + 16512*b145*b285 + 1204
    *b145*b286 + 14964*b145*b287 + 11696*b145*b288 + 6030*b145*b289 + 4020*b145
    *b290 + 8174*b145*b291 + 9916*b145*b292 + 10318*b145*b293 + 9916*b145*b294
     + 804*b145*b295 + 1742*b145*b296 + 7370*b145*b297 + 11658*b145*b298 + 1072
    *b145*b300 + 6834*b145*b301 + 134*b145*b302 + 12194*b145*b303 + 11658*b145*
    b304 + 9648*b145*b305 + 6030*b145*b306 + 12864*b145*b307 + 938*b145*b308 + 
    11658*b145*b309 + 9112*b145*b310 + 6030*b145*b311 + 4020*b145*b312 + 8174*
    b145*b313 + 9916*b145*b314 + 10318*b145*b315 + 9916*b145*b316 + 804*b145*
    b317 + 1742*b145*b318 + 7370*b145*b319 + 11658*b145*b320 + 1072*b145*b322
     + 6834*b145*b323 + 134*b145*b324 + 12194*b145*b325 + 11658*b145*b326 + 
    9648*b145*b327 + 6030*b145*b328 + 12864*b145*b329 + 938*b145*b330 + 11658*
    b145*b331 + 9112*b145*b332 + 2160*b145*b333 + 1440*b145*b334 + 2928*b145*
    b335 + 3552*b145*b336 + 3696*b145*b337 + 3552*b145*b338 + 288*b145*b339 + 
    624*b145*b340 + 2640*b145*b341 + 4176*b145*b342 + 384*b145*b344 + 2448*b145
    *b345 + 48*b145*b346 + 4368*b145*b347 + 4176*b145*b348 + 3456*b145*b349 + 
    2160*b145*b350 + 4608*b145*b351 + 336*b145*b352 + 4176*b145*b353 + 3264*
    b145*b354 + 900*b145*b355 + 600*b145*b356 + 1220*b145*b357 + 1480*b145*b358
     + 1540*b145*b359 + 1480*b145*b360 + 120*b145*b361 + 260*b145*b362 + 1100*
    b145*b363 + 1740*b145*b364 + 160*b145*b366 + 1020*b145*b367 + 20*b145*b368
     + 1820*b145*b369 + 1740*b145*b370 + 1440*b145*b371 + 900*b145*b372 + 1920*
    b145*b373 + 140*b145*b374 + 1740*b145*b375 + 1360*b145*b376 + 4140*b145*
    b377 + 2760*b145*b378 + 5612*b145*b379 + 6808*b145*b380 + 7084*b145*b381 + 
    6808*b145*b382 + 552*b145*b383 + 1196*b145*b384 + 5060*b145*b385 + 8004*
    b145*b386 + 736*b145*b388 + 4692*b145*b389 + 92*b145*b390 + 8372*b145*b391
     + 8004*b145*b392 + 6624*b145*b393 + 4140*b145*b394 + 8832*b145*b395 + 644*
    b145*b396 + 8004*b145*b397 + 6256*b145*b398 + 5040*b145*b399 + 3360*b145*
    b400 + 6832*b145*b401 + 8288*b145*b402 + 8624*b145*b403 + 8288*b145*b404 + 
    672*b145*b405 + 1456*b145*b406 + 6160*b145*b407 + 9744*b145*b408 + 896*b145
    *b410 + 5712*b145*b411 + 112*b145*b412 + 10192*b145*b413 + 9744*b145*b414
     + 8064*b145*b415 + 5040*b145*b416 + 10752*b145*b417 + 784*b145*b418 + 9744
    *b145*b419 + 7616*b145*b420 + 5040*b145*b421 + 3360*b145*b422 + 6832*b145*
    b423 + 8288*b145*b424 + 8624*b145*b425 + 8288*b145*b426 + 672*b145*b427 + 
    1456*b145*b428 + 6160*b145*b429 + 9744*b145*b430 + 896*b145*b432 + 5712*
    b145*b433 + 112*b145*b434 + 10192*b145*b435 + 9744*b145*b436 + 8064*b145*
    b437 + 5040*b145*b438 + 10752*b145*b439 + 784*b145*b440 + 9744*b145*b441 + 
    7616*b145*b442 + 6210*b145*b443 + 4140*b145*b444 + 8418*b145*b445 + 10212*
    b145*b446 + 10626*b145*b447 + 10212*b145*b448 + 828*b145*b449 + 1794*b145*
    b450 + 7590*b145*b451 + 12006*b145*b452 + 1104*b145*b454 + 7038*b145*b455
     + 138*b145*b456 + 12558*b145*b457 + 12006*b145*b458 + 9936*b145*b459 + 
    6210*b145*b460 + 13248*b145*b461 + 966*b145*b462 + 12006*b145*b463 + 9384*
    b145*b464 + 4770*b145*b465 + 3180*b145*b466 + 6466*b145*b467 + 7844*b145*
    b468 + 8162*b145*b469 + 7844*b145*b470 + 636*b145*b471 + 1378*b145*b472 + 
    5830*b145*b473 + 9222*b145*b474 + 848*b145*b476 + 5406*b145*b477 + 106*b145
    *b478 + 9646*b145*b479 + 9222*b145*b480 + 7632*b145*b481 + 4770*b145*b482
     + 10176*b145*b483 + 742*b145*b484 + 9222*b145*b485 + 7208*b145*b486 + 4320
    *b145*b487 + 2880*b145*b488 + 5856*b145*b489 + 7104*b145*b490 + 7392*b145*
    b491 + 7104*b145*b492 + 576*b145*b493 + 1248*b145*b494 + 5280*b145*b495 + 
    8352*b145*b496 + 768*b145*b498 + 4896*b145*b499 + 96*b145*b500 + 8736*b145*
    b501 + 8352*b145*b502 + 6912*b145*b503 + 4320*b145*b504 + 9216*b145*b505 + 
    672*b145*b506 + 8352*b145*b507 + 6528*b145*b508 + 6660*b145*b509 + 4440*
    b145*b510 + 9028*b145*b511 + 10952*b145*b512 + 11396*b145*b513 + 10952*b145
    *b514 + 888*b145*b515 + 1924*b145*b516 + 8140*b145*b517 + 12876*b145*b518
     + 1184*b145*b520 + 7548*b145*b521 + 148*b145*b522 + 13468*b145*b523 + 
    12876*b145*b524 + 10656*b145*b525 + 6660*b145*b526 + 14208*b145*b527 + 1036
    *b145*b528 + 12876*b145*b529 + 10064*b145*b530 + 852*b145*b534 + 5538*b145*
    b535 + 4686*b145*b536 + 756*b145*b537 + 4914*b145*b538 + 4158*b145*b539 + 
    528*b145*b540 + 3432*b145*b541 + 2904*b145*b542 + 264*b145*b543 + 1716*b145
    *b544 + 1452*b145*b545 + 396*b145*b549 + 2574*b145*b550 + 2178*b145*b551 + 
    12*b145*b552 + 78*b145*b553 + 66*b145*b554 + 852*b145*b555 + 5538*b145*b556
     + 4686*b145*b557 + 864*b145*b558 + 5616*b145*b559 + 4752*b145*b560 + 312*
    b145*b561 + 2028*b145*b562 + 1716*b145*b563 + 1032*b145*b564 + 6708*b145*
    b565 + 5676*b145*b566 + 804*b145*b567 + 5226*b145*b568 + 4422*b145*b569 + 
    804*b145*b570 + 5226*b145*b571 + 4422*b145*b572 + 288*b145*b573 + 1872*b145
    *b574 + 1584*b145*b575 + 120*b145*b576 + 780*b145*b577 + 660*b145*b578 + 
    552*b145*b579 + 3588*b145*b580 + 3036*b145*b581 + 672*b145*b582 + 4368*b145
    *b583 + 3696*b145*b584 + 672*b145*b585 + 4368*b145*b586 + 3696*b145*b587 + 
    828*b145*b588 + 5382*b145*b589 + 4554*b145*b590 + 636*b145*b591 + 4134*b145
    *b592 + 3498*b145*b593 + 576*b145*b594 + 3744*b145*b595 + 3168*b145*b596 + 
    888*b145*b597 + 5772*b145*b598 + 4884*b145*b599 + 2340*b145*b600 + 4758*
    b145*b601 + 5772*b145*b602 + 6006*b145*b603 + 5772*b145*b604 + 468*b145*
    b605 + 1014*b145*b606 + 4290*b145*b607 + 6786*b145*b608 + 624*b145*b610 + 
    3978*b145*b611 + 78*b145*b612 + 7098*b145*b613 + 3042*b145*b614 + 6786*b145
    *b615 + 5616*b145*b616 + 3510*b145*b617 + 7488*b145*b618 + 546*b145*b619 + 
    6786*b145*b620 + 5304*b145*b621 + 2574*b145*b622 + 3510*b145*b623 + 1152*
    b145*b624 + 7488*b145*b625 + 6336*b145*b626 + 6006*b146*b157 + 5874*b146*
    b158 + 5280*b146*b159 + 2970*b146*b160 + 2112*b146*b161 + 3036*b146*b162 + 
    3894*b146*b164 + 1254*b146*b165 + 3828*b146*b166 + 528*b146*b167 + 198*b146
    *b169 + 1386*b146*b170 + 5940*b146*b171 + 3102*b146*b172 + 1650*b146*b173
     + 1980*b146*b174 + 2838*b146*b175 + 6402*b146*b176 + 2178*b146*b177 + 2310
    *b146*b178 + 182*b146*b179 + 178*b146*b180 + 160*b146*b181 + 90*b146*b182
     + 64*b146*b183 + 92*b146*b184 + 118*b146*b186 + 38*b146*b187 + 116*b146*
    b188 + 16*b146*b189 + 6*b146*b191 + 42*b146*b192 + 180*b146*b193 + 94*b146*
    b194 + 50*b146*b195 + 60*b146*b196 + 86*b146*b197 + 194*b146*b198 + 66*b146
    *b199 + 70*b146*b200 + 12922*b146*b201 + 12638*b146*b202 + 11360*b146*b203
     + 6390*b146*b204 + 4544*b146*b205 + 6532*b146*b206 + 8378*b146*b208 + 2698
    *b146*b209 + 8236*b146*b210 + 1136*b146*b211 + 426*b146*b213 + 2982*b146*
    b214 + 12780*b146*b215 + 6674*b146*b216 + 3550*b146*b217 + 4260*b146*b218
     + 6106*b146*b219 + 13774*b146*b220 + 4686*b146*b221 + 4970*b146*b222 + 
    13104*b146*b223 + 12816*b146*b224 + 11520*b146*b225 + 6480*b146*b226 + 4608
    *b146*b227 + 6624*b146*b228 + 8496*b146*b230 + 2736*b146*b231 + 8352*b146*
    b232 + 1152*b146*b233 + 432*b146*b235 + 3024*b146*b236 + 12960*b146*b237 + 
    6768*b146*b238 + 3600*b146*b239 + 4320*b146*b240 + 6192*b146*b241 + 13968*
    b146*b242 + 4752*b146*b243 + 5040*b146*b244 + 4732*b146*b245 + 4628*b146*
    b246 + 4160*b146*b247 + 2340*b146*b248 + 1664*b146*b249 + 2392*b146*b250 + 
    3068*b146*b252 + 988*b146*b253 + 3016*b146*b254 + 416*b146*b255 + 156*b146*
    b257 + 1092*b146*b258 + 4680*b146*b259 + 2444*b146*b260 + 1300*b146*b261 + 
    1560*b146*b262 + 2236*b146*b263 + 5044*b146*b264 + 1716*b146*b265 + 1820*
    b146*b266 + 15652*b146*b267 + 15308*b146*b268 + 13760*b146*b269 + 7740*b146
    *b270 + 5504*b146*b271 + 7912*b146*b272 + 10148*b146*b274 + 3268*b146*b275
     + 9976*b146*b276 + 1376*b146*b277 + 516*b146*b279 + 3612*b146*b280 + 15480
    *b146*b281 + 8084*b146*b282 + 4300*b146*b283 + 5160*b146*b284 + 7396*b146*
    b285 + 16684*b146*b286 + 5676*b146*b287 + 6020*b146*b288 + 12194*b146*b289
     + 11926*b146*b290 + 10720*b146*b291 + 6030*b146*b292 + 4288*b146*b293 + 
    6164*b146*b294 + 7906*b146*b296 + 2546*b146*b297 + 7772*b146*b298 + 1072*
    b146*b299 + 402*b146*b301 + 2814*b146*b302 + 12060*b146*b303 + 6298*b146*
    b304 + 3350*b146*b305 + 4020*b146*b306 + 5762*b146*b307 + 12998*b146*b308
     + 4422*b146*b309 + 4690*b146*b310 + 12194*b146*b311 + 11926*b146*b312 + 
    10720*b146*b313 + 6030*b146*b314 + 4288*b146*b315 + 6164*b146*b316 + 7906*
    b146*b318 + 2546*b146*b319 + 7772*b146*b320 + 1072*b146*b321 + 402*b146*
    b323 + 2814*b146*b324 + 12060*b146*b325 + 6298*b146*b326 + 3350*b146*b327
     + 4020*b146*b328 + 5762*b146*b329 + 12998*b146*b330 + 4422*b146*b331 + 
    4690*b146*b332 + 4368*b146*b333 + 4272*b146*b334 + 3840*b146*b335 + 2160*
    b146*b336 + 1536*b146*b337 + 2208*b146*b338 + 2832*b146*b340 + 912*b146*
    b341 + 2784*b146*b342 + 384*b146*b343 + 144*b146*b345 + 1008*b146*b346 + 
    4320*b146*b347 + 2256*b146*b348 + 1200*b146*b349 + 1440*b146*b350 + 2064*
    b146*b351 + 4656*b146*b352 + 1584*b146*b353 + 1680*b146*b354 + 1820*b146*
    b355 + 1780*b146*b356 + 1600*b146*b357 + 900*b146*b358 + 640*b146*b359 + 
    920*b146*b360 + 1180*b146*b362 + 380*b146*b363 + 1160*b146*b364 + 160*b146*
    b365 + 60*b146*b367 + 420*b146*b368 + 1800*b146*b369 + 940*b146*b370 + 500*
    b146*b371 + 600*b146*b372 + 860*b146*b373 + 1940*b146*b374 + 660*b146*b375
     + 700*b146*b376 + 8372*b146*b377 + 8188*b146*b378 + 7360*b146*b379 + 4140*
    b146*b380 + 2944*b146*b381 + 4232*b146*b382 + 5428*b146*b384 + 1748*b146*
    b385 + 5336*b146*b386 + 736*b146*b387 + 276*b146*b389 + 1932*b146*b390 + 
    8280*b146*b391 + 4324*b146*b392 + 2300*b146*b393 + 2760*b146*b394 + 3956*
    b146*b395 + 8924*b146*b396 + 3036*b146*b397 + 3220*b146*b398 + 10192*b146*
    b399 + 9968*b146*b400 + 8960*b146*b401 + 5040*b146*b402 + 3584*b146*b403 + 
    5152*b146*b404 + 6608*b146*b406 + 2128*b146*b407 + 6496*b146*b408 + 896*
    b146*b409 + 336*b146*b411 + 2352*b146*b412 + 10080*b146*b413 + 5264*b146*
    b414 + 2800*b146*b415 + 3360*b146*b416 + 4816*b146*b417 + 10864*b146*b418
     + 3696*b146*b419 + 3920*b146*b420 + 10192*b146*b421 + 9968*b146*b422 + 
    8960*b146*b423 + 5040*b146*b424 + 3584*b146*b425 + 5152*b146*b426 + 6608*
    b146*b428 + 2128*b146*b429 + 6496*b146*b430 + 896*b146*b431 + 336*b146*b433
     + 2352*b146*b434 + 10080*b146*b435 + 5264*b146*b436 + 2800*b146*b437 + 
    3360*b146*b438 + 4816*b146*b439 + 10864*b146*b440 + 3696*b146*b441 + 3920*
    b146*b442 + 12558*b146*b443 + 12282*b146*b444 + 11040*b146*b445 + 6210*b146
    *b446 + 4416*b146*b447 + 6348*b146*b448 + 8142*b146*b450 + 2622*b146*b451
     + 8004*b146*b452 + 1104*b146*b453 + 414*b146*b455 + 2898*b146*b456 + 12420
    *b146*b457 + 6486*b146*b458 + 3450*b146*b459 + 4140*b146*b460 + 5934*b146*
    b461 + 13386*b146*b462 + 4554*b146*b463 + 4830*b146*b464 + 9646*b146*b465
     + 9434*b146*b466 + 8480*b146*b467 + 4770*b146*b468 + 3392*b146*b469 + 4876
    *b146*b470 + 6254*b146*b472 + 2014*b146*b473 + 6148*b146*b474 + 848*b146*
    b475 + 318*b146*b477 + 2226*b146*b478 + 9540*b146*b479 + 4982*b146*b480 + 
    2650*b146*b481 + 3180*b146*b482 + 4558*b146*b483 + 10282*b146*b484 + 3498*
    b146*b485 + 3710*b146*b486 + 8736*b146*b487 + 8544*b146*b488 + 7680*b146*
    b489 + 4320*b146*b490 + 3072*b146*b491 + 4416*b146*b492 + 5664*b146*b494 + 
    1824*b146*b495 + 5568*b146*b496 + 768*b146*b497 + 288*b146*b499 + 2016*b146
    *b500 + 8640*b146*b501 + 4512*b146*b502 + 2400*b146*b503 + 2880*b146*b504
     + 4128*b146*b505 + 9312*b146*b506 + 3168*b146*b507 + 3360*b146*b508 + 
    13468*b146*b509 + 13172*b146*b510 + 11840*b146*b511 + 6660*b146*b512 + 4736
    *b146*b513 + 6808*b146*b514 + 8732*b146*b516 + 2812*b146*b517 + 8584*b146*
    b518 + 1184*b146*b519 + 444*b146*b521 + 3108*b146*b522 + 13320*b146*b523 + 
    6956*b146*b524 + 3700*b146*b525 + 4440*b146*b526 + 6364*b146*b527 + 14356*
    b146*b528 + 4884*b146*b529 + 5180*b146*b530 + 6248*b146*b534 + 6390*b146*
    b535 + 8662*b146*b536 + 5544*b146*b537 + 5670*b146*b538 + 7686*b146*b539 + 
    3872*b146*b540 + 3960*b146*b541 + 5368*b146*b542 + 1936*b146*b543 + 1980*
    b146*b544 + 2684*b146*b545 + 2904*b146*b549 + 2970*b146*b550 + 4026*b146*
    b551 + 88*b146*b552 + 90*b146*b553 + 122*b146*b554 + 6248*b146*b555 + 6390*
    b146*b556 + 8662*b146*b557 + 6336*b146*b558 + 6480*b146*b559 + 8784*b146*
    b560 + 2288*b146*b561 + 2340*b146*b562 + 3172*b146*b563 + 7568*b146*b564 + 
    7740*b146*b565 + 10492*b146*b566 + 5896*b146*b567 + 6030*b146*b568 + 8174*
    b146*b569 + 5896*b146*b570 + 6030*b146*b571 + 8174*b146*b572 + 2112*b146*
    b573 + 2160*b146*b574 + 2928*b146*b575 + 880*b146*b576 + 900*b146*b577 + 
    1220*b146*b578 + 4048*b146*b579 + 4140*b146*b580 + 5612*b146*b581 + 4928*
    b146*b582 + 5040*b146*b583 + 6832*b146*b584 + 4928*b146*b585 + 5040*b146*
    b586 + 6832*b146*b587 + 6072*b146*b588 + 6210*b146*b589 + 8418*b146*b590 + 
    4664*b146*b591 + 4770*b146*b592 + 6466*b146*b593 + 4224*b146*b594 + 4320*
    b146*b595 + 5856*b146*b596 + 6512*b146*b597 + 6660*b146*b598 + 9028*b146*
    b599 + 6942*b146*b600 + 6240*b146*b601 + 3510*b146*b602 + 2496*b146*b603 + 
    3588*b146*b604 + 4602*b146*b606 + 1482*b146*b607 + 4524*b146*b608 + 624*
    b146*b609 + 234*b146*b611 + 1638*b146*b612 + 7020*b146*b613 + 3510*b146*
    b614 + 3666*b146*b615 + 1950*b146*b616 + 2340*b146*b617 + 3354*b146*b618 + 
    7566*b146*b619 + 2574*b146*b620 + 2730*b146*b621 + 4758*b146*b622 + 7098*
    b146*b623 + 8448*b146*b624 + 8640*b146*b625 + 11712*b146*b626 + 3894*b147*
    b157 + 5016*b147*b158 + 3828*b147*b159 + 4290*b147*b160 + 5742*b147*b161 + 
    858*b147*b162 + 4092*b147*b163 + 3234*b147*b164 + 5610*b147*b165 + 1122*
    b147*b166 + 3366*b147*b167 + 198*b147*b168 + 2772*b147*b170 + 2376*b147*
    b171 + 462*b147*b172 + 5544*b147*b173 + 396*b147*b174 + 3168*b147*b177 + 
    4092*b147*b178 + 118*b147*b179 + 152*b147*b180 + 116*b147*b181 + 130*b147*
    b182 + 174*b147*b183 + 26*b147*b184 + 124*b147*b185 + 98*b147*b186 + 170*
    b147*b187 + 34*b147*b188 + 102*b147*b189 + 6*b147*b190 + 84*b147*b192 + 72*
    b147*b193 + 14*b147*b194 + 168*b147*b195 + 12*b147*b196 + 96*b147*b199 + 
    124*b147*b200 + 8378*b147*b201 + 10792*b147*b202 + 8236*b147*b203 + 9230*
    b147*b204 + 12354*b147*b205 + 1846*b147*b206 + 8804*b147*b207 + 6958*b147*
    b208 + 12070*b147*b209 + 2414*b147*b210 + 7242*b147*b211 + 426*b147*b212 + 
    5964*b147*b214 + 5112*b147*b215 + 994*b147*b216 + 11928*b147*b217 + 852*
    b147*b218 + 6816*b147*b221 + 8804*b147*b222 + 8496*b147*b223 + 10944*b147*
    b224 + 8352*b147*b225 + 9360*b147*b226 + 12528*b147*b227 + 1872*b147*b228
     + 8928*b147*b229 + 7056*b147*b230 + 12240*b147*b231 + 2448*b147*b232 + 
    7344*b147*b233 + 432*b147*b234 + 6048*b147*b236 + 5184*b147*b237 + 1008*
    b147*b238 + 12096*b147*b239 + 864*b147*b240 + 6912*b147*b243 + 8928*b147*
    b244 + 3068*b147*b245 + 3952*b147*b246 + 3016*b147*b247 + 3380*b147*b248 + 
    4524*b147*b249 + 676*b147*b250 + 3224*b147*b251 + 2548*b147*b252 + 4420*
    b147*b253 + 884*b147*b254 + 2652*b147*b255 + 156*b147*b256 + 2184*b147*b258
     + 1872*b147*b259 + 364*b147*b260 + 4368*b147*b261 + 312*b147*b262 + 2496*
    b147*b265 + 3224*b147*b266 + 10148*b147*b267 + 13072*b147*b268 + 9976*b147*
    b269 + 11180*b147*b270 + 14964*b147*b271 + 2236*b147*b272 + 10664*b147*b273
     + 8428*b147*b274 + 14620*b147*b275 + 2924*b147*b276 + 8772*b147*b277 + 516
    *b147*b278 + 7224*b147*b280 + 6192*b147*b281 + 1204*b147*b282 + 14448*b147*
    b283 + 1032*b147*b284 + 8256*b147*b287 + 10664*b147*b288 + 7906*b147*b289
     + 10184*b147*b290 + 7772*b147*b291 + 8710*b147*b292 + 11658*b147*b293 + 
    1742*b147*b294 + 8308*b147*b295 + 6566*b147*b296 + 11390*b147*b297 + 2278*
    b147*b298 + 6834*b147*b299 + 402*b147*b300 + 5628*b147*b302 + 4824*b147*
    b303 + 938*b147*b304 + 11256*b147*b305 + 804*b147*b306 + 6432*b147*b309 + 
    8308*b147*b310 + 7906*b147*b311 + 10184*b147*b312 + 7772*b147*b313 + 8710*
    b147*b314 + 11658*b147*b315 + 1742*b147*b316 + 8308*b147*b317 + 6566*b147*
    b318 + 11390*b147*b319 + 2278*b147*b320 + 6834*b147*b321 + 402*b147*b322 + 
    5628*b147*b324 + 4824*b147*b325 + 938*b147*b326 + 11256*b147*b327 + 804*
    b147*b328 + 6432*b147*b331 + 8308*b147*b332 + 2832*b147*b333 + 3648*b147*
    b334 + 2784*b147*b335 + 3120*b147*b336 + 4176*b147*b337 + 624*b147*b338 + 
    2976*b147*b339 + 2352*b147*b340 + 4080*b147*b341 + 816*b147*b342 + 2448*
    b147*b343 + 144*b147*b344 + 2016*b147*b346 + 1728*b147*b347 + 336*b147*b348
     + 4032*b147*b349 + 288*b147*b350 + 2304*b147*b353 + 2976*b147*b354 + 1180*
    b147*b355 + 1520*b147*b356 + 1160*b147*b357 + 1300*b147*b358 + 1740*b147*
    b359 + 260*b147*b360 + 1240*b147*b361 + 980*b147*b362 + 1700*b147*b363 + 
    340*b147*b364 + 1020*b147*b365 + 60*b147*b366 + 840*b147*b368 + 720*b147*
    b369 + 140*b147*b370 + 1680*b147*b371 + 120*b147*b372 + 960*b147*b375 + 
    1240*b147*b376 + 5428*b147*b377 + 6992*b147*b378 + 5336*b147*b379 + 5980*
    b147*b380 + 8004*b147*b381 + 1196*b147*b382 + 5704*b147*b383 + 4508*b147*
    b384 + 7820*b147*b385 + 1564*b147*b386 + 4692*b147*b387 + 276*b147*b388 + 
    3864*b147*b390 + 3312*b147*b391 + 644*b147*b392 + 7728*b147*b393 + 552*b147
    *b394 + 4416*b147*b397 + 5704*b147*b398 + 6608*b147*b399 + 8512*b147*b400
     + 6496*b147*b401 + 7280*b147*b402 + 9744*b147*b403 + 1456*b147*b404 + 6944
    *b147*b405 + 5488*b147*b406 + 9520*b147*b407 + 1904*b147*b408 + 5712*b147*
    b409 + 336*b147*b410 + 4704*b147*b412 + 4032*b147*b413 + 784*b147*b414 + 
    9408*b147*b415 + 672*b147*b416 + 5376*b147*b419 + 6944*b147*b420 + 6608*
    b147*b421 + 8512*b147*b422 + 6496*b147*b423 + 7280*b147*b424 + 9744*b147*
    b425 + 1456*b147*b426 + 6944*b147*b427 + 5488*b147*b428 + 9520*b147*b429 + 
    1904*b147*b430 + 5712*b147*b431 + 336*b147*b432 + 4704*b147*b434 + 4032*
    b147*b435 + 784*b147*b436 + 9408*b147*b437 + 672*b147*b438 + 5376*b147*b441
     + 6944*b147*b442 + 8142*b147*b443 + 10488*b147*b444 + 8004*b147*b445 + 
    8970*b147*b446 + 12006*b147*b447 + 1794*b147*b448 + 8556*b147*b449 + 6762*
    b147*b450 + 11730*b147*b451 + 2346*b147*b452 + 7038*b147*b453 + 414*b147*
    b454 + 5796*b147*b456 + 4968*b147*b457 + 966*b147*b458 + 11592*b147*b459 + 
    828*b147*b460 + 6624*b147*b463 + 8556*b147*b464 + 6254*b147*b465 + 8056*
    b147*b466 + 6148*b147*b467 + 6890*b147*b468 + 9222*b147*b469 + 1378*b147*
    b470 + 6572*b147*b471 + 5194*b147*b472 + 9010*b147*b473 + 1802*b147*b474 + 
    5406*b147*b475 + 318*b147*b476 + 4452*b147*b478 + 3816*b147*b479 + 742*b147
    *b480 + 8904*b147*b481 + 636*b147*b482 + 5088*b147*b485 + 6572*b147*b486 + 
    5664*b147*b487 + 7296*b147*b488 + 5568*b147*b489 + 6240*b147*b490 + 8352*
    b147*b491 + 1248*b147*b492 + 5952*b147*b493 + 4704*b147*b494 + 8160*b147*
    b495 + 1632*b147*b496 + 4896*b147*b497 + 288*b147*b498 + 4032*b147*b500 + 
    3456*b147*b501 + 672*b147*b502 + 8064*b147*b503 + 576*b147*b504 + 4608*b147
    *b507 + 5952*b147*b508 + 8732*b147*b509 + 11248*b147*b510 + 8584*b147*b511
     + 9620*b147*b512 + 12876*b147*b513 + 1924*b147*b514 + 9176*b147*b515 + 
    7252*b147*b516 + 12580*b147*b517 + 2516*b147*b518 + 7548*b147*b519 + 444*
    b147*b520 + 6216*b147*b522 + 5328*b147*b523 + 1036*b147*b524 + 12432*b147*
    b525 + 888*b147*b526 + 7104*b147*b529 + 9176*b147*b530 + 5680*b147*b534 + 
    6106*b147*b535 + 8378*b147*b536 + 5040*b147*b537 + 5418*b147*b538 + 7434*
    b147*b539 + 3520*b147*b540 + 3784*b147*b541 + 5192*b147*b542 + 1760*b147*
    b543 + 1892*b147*b544 + 2596*b147*b545 + 2640*b147*b549 + 2838*b147*b550 + 
    3894*b147*b551 + 80*b147*b552 + 86*b147*b553 + 118*b147*b554 + 5680*b147*
    b555 + 6106*b147*b556 + 8378*b147*b557 + 5760*b147*b558 + 6192*b147*b559 + 
    8496*b147*b560 + 2080*b147*b561 + 2236*b147*b562 + 3068*b147*b563 + 6880*
    b147*b564 + 7396*b147*b565 + 10148*b147*b566 + 5360*b147*b567 + 5762*b147*
    b568 + 7906*b147*b569 + 5360*b147*b570 + 5762*b147*b571 + 7906*b147*b572 + 
    1920*b147*b573 + 2064*b147*b574 + 2832*b147*b575 + 800*b147*b576 + 860*b147
    *b577 + 1180*b147*b578 + 3680*b147*b579 + 3956*b147*b580 + 5428*b147*b581
     + 4480*b147*b582 + 4816*b147*b583 + 6608*b147*b584 + 4480*b147*b585 + 4816
    *b147*b586 + 6608*b147*b587 + 5520*b147*b588 + 5934*b147*b589 + 8142*b147*
    b590 + 4240*b147*b591 + 4558*b147*b592 + 6254*b147*b593 + 3840*b147*b594 + 
    4128*b147*b595 + 5664*b147*b596 + 5920*b147*b597 + 6364*b147*b598 + 8732*
    b147*b599 + 5928*b147*b600 + 4524*b147*b601 + 5070*b147*b602 + 6786*b147*
    b603 + 1014*b147*b604 + 4836*b147*b605 + 3822*b147*b606 + 6630*b147*b607 + 
    1326*b147*b608 + 3978*b147*b609 + 234*b147*b610 + 3276*b147*b612 + 2808*
    b147*b613 + 3354*b147*b614 + 546*b147*b615 + 6552*b147*b616 + 468*b147*b617
     + 3744*b147*b620 + 4836*b147*b621 + 4602*b147*b622 + 4602*b147*b623 + 7680
    *b147*b624 + 8256*b147*b625 + 11328*b147*b626 + 1188*b148*b157 + 5016*b148*
    b158 + 1386*b148*b159 + 2640*b148*b160 + 4422*b148*b161 + 1320*b148*b162 + 
    2706*b148*b163 + 5610*b148*b164 + 3432*b148*b165 + 4488*b148*b166 + 66*b148
    *b167 + 1386*b148*b168 + 2772*b148*b169 + 1914*b148*b171 + 5412*b148*b172
     + 1914*b148*b173 + 198*b148*b174 + 198*b148*b175 + 3366*b148*b176 + 4422*
    b148*b177 + 2574*b148*b178 + 36*b148*b179 + 152*b148*b180 + 42*b148*b181 + 
    80*b148*b182 + 134*b148*b183 + 40*b148*b184 + 82*b148*b185 + 170*b148*b186
     + 104*b148*b187 + 136*b148*b188 + 2*b148*b189 + 42*b148*b190 + 84*b148*
    b191 + 58*b148*b193 + 164*b148*b194 + 58*b148*b195 + 6*b148*b196 + 6*b148*
    b197 + 102*b148*b198 + 134*b148*b199 + 78*b148*b200 + 2556*b148*b201 + 
    10792*b148*b202 + 2982*b148*b203 + 5680*b148*b204 + 9514*b148*b205 + 2840*
    b148*b206 + 5822*b148*b207 + 12070*b148*b208 + 7384*b148*b209 + 9656*b148*
    b210 + 142*b148*b211 + 2982*b148*b212 + 5964*b148*b213 + 4118*b148*b215 + 
    11644*b148*b216 + 4118*b148*b217 + 426*b148*b218 + 426*b148*b219 + 7242*
    b148*b220 + 9514*b148*b221 + 5538*b148*b222 + 2592*b148*b223 + 10944*b148*
    b224 + 3024*b148*b225 + 5760*b148*b226 + 9648*b148*b227 + 2880*b148*b228 + 
    5904*b148*b229 + 12240*b148*b230 + 7488*b148*b231 + 9792*b148*b232 + 144*
    b148*b233 + 3024*b148*b234 + 6048*b148*b235 + 4176*b148*b237 + 11808*b148*
    b238 + 4176*b148*b239 + 432*b148*b240 + 432*b148*b241 + 7344*b148*b242 + 
    9648*b148*b243 + 5616*b148*b244 + 936*b148*b245 + 3952*b148*b246 + 1092*
    b148*b247 + 2080*b148*b248 + 3484*b148*b249 + 1040*b148*b250 + 2132*b148*
    b251 + 4420*b148*b252 + 2704*b148*b253 + 3536*b148*b254 + 52*b148*b255 + 
    1092*b148*b256 + 2184*b148*b257 + 1508*b148*b259 + 4264*b148*b260 + 1508*
    b148*b261 + 156*b148*b262 + 156*b148*b263 + 2652*b148*b264 + 3484*b148*b265
     + 2028*b148*b266 + 3096*b148*b267 + 13072*b148*b268 + 3612*b148*b269 + 
    6880*b148*b270 + 11524*b148*b271 + 3440*b148*b272 + 7052*b148*b273 + 14620*
    b148*b274 + 8944*b148*b275 + 11696*b148*b276 + 172*b148*b277 + 3612*b148*
    b278 + 7224*b148*b279 + 4988*b148*b281 + 14104*b148*b282 + 4988*b148*b283
     + 516*b148*b284 + 516*b148*b285 + 8772*b148*b286 + 11524*b148*b287 + 6708*
    b148*b288 + 2412*b148*b289 + 10184*b148*b290 + 2814*b148*b291 + 5360*b148*
    b292 + 8978*b148*b293 + 2680*b148*b294 + 5494*b148*b295 + 11390*b148*b296
     + 6968*b148*b297 + 9112*b148*b298 + 134*b148*b299 + 2814*b148*b300 + 5628*
    b148*b301 + 3886*b148*b303 + 10988*b148*b304 + 3886*b148*b305 + 402*b148*
    b306 + 402*b148*b307 + 6834*b148*b308 + 8978*b148*b309 + 5226*b148*b310 + 
    2412*b148*b311 + 10184*b148*b312 + 2814*b148*b313 + 5360*b148*b314 + 8978*
    b148*b315 + 2680*b148*b316 + 5494*b148*b317 + 11390*b148*b318 + 6968*b148*
    b319 + 9112*b148*b320 + 134*b148*b321 + 2814*b148*b322 + 5628*b148*b323 + 
    3886*b148*b325 + 10988*b148*b326 + 3886*b148*b327 + 402*b148*b328 + 402*
    b148*b329 + 6834*b148*b330 + 8978*b148*b331 + 5226*b148*b332 + 864*b148*
    b333 + 3648*b148*b334 + 1008*b148*b335 + 1920*b148*b336 + 3216*b148*b337 + 
    960*b148*b338 + 1968*b148*b339 + 4080*b148*b340 + 2496*b148*b341 + 3264*
    b148*b342 + 48*b148*b343 + 1008*b148*b344 + 2016*b148*b345 + 1392*b148*b347
     + 3936*b148*b348 + 1392*b148*b349 + 144*b148*b350 + 144*b148*b351 + 2448*
    b148*b352 + 3216*b148*b353 + 1872*b148*b354 + 360*b148*b355 + 1520*b148*
    b356 + 420*b148*b357 + 800*b148*b358 + 1340*b148*b359 + 400*b148*b360 + 820
    *b148*b361 + 1700*b148*b362 + 1040*b148*b363 + 1360*b148*b364 + 20*b148*
    b365 + 420*b148*b366 + 840*b148*b367 + 580*b148*b369 + 1640*b148*b370 + 580
    *b148*b371 + 60*b148*b372 + 60*b148*b373 + 1020*b148*b374 + 1340*b148*b375
     + 780*b148*b376 + 1656*b148*b377 + 6992*b148*b378 + 1932*b148*b379 + 3680*
    b148*b380 + 6164*b148*b381 + 1840*b148*b382 + 3772*b148*b383 + 7820*b148*
    b384 + 4784*b148*b385 + 6256*b148*b386 + 92*b148*b387 + 1932*b148*b388 + 
    3864*b148*b389 + 2668*b148*b391 + 7544*b148*b392 + 2668*b148*b393 + 276*
    b148*b394 + 276*b148*b395 + 4692*b148*b396 + 6164*b148*b397 + 3588*b148*
    b398 + 2016*b148*b399 + 8512*b148*b400 + 2352*b148*b401 + 4480*b148*b402 + 
    7504*b148*b403 + 2240*b148*b404 + 4592*b148*b405 + 9520*b148*b406 + 5824*
    b148*b407 + 7616*b148*b408 + 112*b148*b409 + 2352*b148*b410 + 4704*b148*
    b411 + 3248*b148*b413 + 9184*b148*b414 + 3248*b148*b415 + 336*b148*b416 + 
    336*b148*b417 + 5712*b148*b418 + 7504*b148*b419 + 4368*b148*b420 + 2016*
    b148*b421 + 8512*b148*b422 + 2352*b148*b423 + 4480*b148*b424 + 7504*b148*
    b425 + 2240*b148*b426 + 4592*b148*b427 + 9520*b148*b428 + 5824*b148*b429 + 
    7616*b148*b430 + 112*b148*b431 + 2352*b148*b432 + 4704*b148*b433 + 3248*
    b148*b435 + 9184*b148*b436 + 3248*b148*b437 + 336*b148*b438 + 336*b148*b439
     + 5712*b148*b440 + 7504*b148*b441 + 4368*b148*b442 + 2484*b148*b443 + 
    10488*b148*b444 + 2898*b148*b445 + 5520*b148*b446 + 9246*b148*b447 + 2760*
    b148*b448 + 5658*b148*b449 + 11730*b148*b450 + 7176*b148*b451 + 9384*b148*
    b452 + 138*b148*b453 + 2898*b148*b454 + 5796*b148*b455 + 4002*b148*b457 + 
    11316*b148*b458 + 4002*b148*b459 + 414*b148*b460 + 414*b148*b461 + 7038*
    b148*b462 + 9246*b148*b463 + 5382*b148*b464 + 1908*b148*b465 + 8056*b148*
    b466 + 2226*b148*b467 + 4240*b148*b468 + 7102*b148*b469 + 2120*b148*b470 + 
    4346*b148*b471 + 9010*b148*b472 + 5512*b148*b473 + 7208*b148*b474 + 106*
    b148*b475 + 2226*b148*b476 + 4452*b148*b477 + 3074*b148*b479 + 8692*b148*
    b480 + 3074*b148*b481 + 318*b148*b482 + 318*b148*b483 + 5406*b148*b484 + 
    7102*b148*b485 + 4134*b148*b486 + 1728*b148*b487 + 7296*b148*b488 + 2016*
    b148*b489 + 3840*b148*b490 + 6432*b148*b491 + 1920*b148*b492 + 3936*b148*
    b493 + 8160*b148*b494 + 4992*b148*b495 + 6528*b148*b496 + 96*b148*b497 + 
    2016*b148*b498 + 4032*b148*b499 + 2784*b148*b501 + 7872*b148*b502 + 2784*
    b148*b503 + 288*b148*b504 + 288*b148*b505 + 4896*b148*b506 + 6432*b148*b507
     + 3744*b148*b508 + 2664*b148*b509 + 11248*b148*b510 + 3108*b148*b511 + 
    5920*b148*b512 + 9916*b148*b513 + 2960*b148*b514 + 6068*b148*b515 + 12580*
    b148*b516 + 7696*b148*b517 + 10064*b148*b518 + 148*b148*b519 + 3108*b148*
    b520 + 6216*b148*b521 + 4292*b148*b523 + 12136*b148*b524 + 4292*b148*b525
     + 444*b148*b526 + 444*b148*b527 + 7548*b148*b528 + 9916*b148*b529 + 5772*
    b148*b530 + 10650*b148*b534 + 13348*b148*b535 + 2130*b148*b536 + 9450*b148*
    b537 + 11844*b148*b538 + 1890*b148*b539 + 6600*b148*b540 + 8272*b148*b541
     + 1320*b148*b542 + 3300*b148*b543 + 4136*b148*b544 + 660*b148*b545 + 4950*
    b148*b549 + 6204*b148*b550 + 990*b148*b551 + 150*b148*b552 + 188*b148*b553
     + 30*b148*b554 + 10650*b148*b555 + 13348*b148*b556 + 2130*b148*b557 + 
    10800*b148*b558 + 13536*b148*b559 + 2160*b148*b560 + 3900*b148*b561 + 4888*
    b148*b562 + 780*b148*b563 + 12900*b148*b564 + 16168*b148*b565 + 2580*b148*
    b566 + 10050*b148*b567 + 12596*b148*b568 + 2010*b148*b569 + 10050*b148*b570
     + 12596*b148*b571 + 2010*b148*b572 + 3600*b148*b573 + 4512*b148*b574 + 720
    *b148*b575 + 1500*b148*b576 + 1880*b148*b577 + 300*b148*b578 + 6900*b148*
    b579 + 8648*b148*b580 + 1380*b148*b581 + 8400*b148*b582 + 10528*b148*b583
     + 1680*b148*b584 + 8400*b148*b585 + 10528*b148*b586 + 1680*b148*b587 + 
    10350*b148*b588 + 12972*b148*b589 + 2070*b148*b590 + 7950*b148*b591 + 9964*
    b148*b592 + 1590*b148*b593 + 7200*b148*b594 + 9024*b148*b595 + 1440*b148*
    b596 + 11100*b148*b597 + 13912*b148*b598 + 2220*b148*b599 + 5928*b148*b600
     + 1638*b148*b601 + 3120*b148*b602 + 5226*b148*b603 + 1560*b148*b604 + 3198
    *b148*b605 + 6630*b148*b606 + 4056*b148*b607 + 5304*b148*b608 + 78*b148*
    b609 + 1638*b148*b610 + 3276*b148*b611 + 2262*b148*b613 + 7332*b148*b614 + 
    6396*b148*b615 + 2262*b148*b616 + 234*b148*b617 + 234*b148*b618 + 3978*b148
    *b619 + 5226*b148*b620 + 3042*b148*b621 + 1170*b148*b622 + 1404*b148*b623
     + 14400*b148*b624 + 18048*b148*b625 + 2880*b148*b626 + 5016*b149*b157 + 
    2640*b149*b158 + 5016*b149*b159 + 3564*b149*b160 + 6204*b149*b161 + 5676*
    b149*b162 + 4092*b149*b163 + 5544*b149*b164 + 2244*b149*b165 + 1782*b149*
    b166 + 6006*b149*b167 + 5940*b149*b168 + 2376*b149*b169 + 1914*b149*b170 + 
    2772*b149*b172 + 1518*b149*b173 + 4092*b149*b174 + 4092*b149*b175 + 1848*
    b149*b176 + 5016*b149*b177 + 4356*b149*b178 + 152*b149*b179 + 80*b149*b180
     + 152*b149*b181 + 108*b149*b182 + 188*b149*b183 + 172*b149*b184 + 124*b149
    *b185 + 168*b149*b186 + 68*b149*b187 + 54*b149*b188 + 182*b149*b189 + 180*
    b149*b190 + 72*b149*b191 + 58*b149*b192 + 84*b149*b194 + 46*b149*b195 + 124
    *b149*b196 + 124*b149*b197 + 56*b149*b198 + 152*b149*b199 + 132*b149*b200
     + 10792*b149*b201 + 5680*b149*b202 + 10792*b149*b203 + 7668*b149*b204 + 
    13348*b149*b205 + 12212*b149*b206 + 8804*b149*b207 + 11928*b149*b208 + 4828
    *b149*b209 + 3834*b149*b210 + 12922*b149*b211 + 12780*b149*b212 + 5112*b149
    *b213 + 4118*b149*b214 + 5964*b149*b216 + 3266*b149*b217 + 8804*b149*b218
     + 8804*b149*b219 + 3976*b149*b220 + 10792*b149*b221 + 9372*b149*b222 + 
    10944*b149*b223 + 5760*b149*b224 + 10944*b149*b225 + 7776*b149*b226 + 13536
    *b149*b227 + 12384*b149*b228 + 8928*b149*b229 + 12096*b149*b230 + 4896*b149
    *b231 + 3888*b149*b232 + 13104*b149*b233 + 12960*b149*b234 + 5184*b149*b235
     + 4176*b149*b236 + 6048*b149*b238 + 3312*b149*b239 + 8928*b149*b240 + 8928
    *b149*b241 + 4032*b149*b242 + 10944*b149*b243 + 9504*b149*b244 + 3952*b149*
    b245 + 2080*b149*b246 + 3952*b149*b247 + 2808*b149*b248 + 4888*b149*b249 + 
    4472*b149*b250 + 3224*b149*b251 + 4368*b149*b252 + 1768*b149*b253 + 1404*
    b149*b254 + 4732*b149*b255 + 4680*b149*b256 + 1872*b149*b257 + 1508*b149*
    b258 + 2184*b149*b260 + 1196*b149*b261 + 3224*b149*b262 + 3224*b149*b263 + 
    1456*b149*b264 + 3952*b149*b265 + 3432*b149*b266 + 13072*b149*b267 + 6880*
    b149*b268 + 13072*b149*b269 + 9288*b149*b270 + 16168*b149*b271 + 14792*b149
    *b272 + 10664*b149*b273 + 14448*b149*b274 + 5848*b149*b275 + 4644*b149*b276
     + 15652*b149*b277 + 15480*b149*b278 + 6192*b149*b279 + 4988*b149*b280 + 
    7224*b149*b282 + 3956*b149*b283 + 10664*b149*b284 + 10664*b149*b285 + 4816*
    b149*b286 + 13072*b149*b287 + 11352*b149*b288 + 10184*b149*b289 + 5360*b149
    *b290 + 10184*b149*b291 + 7236*b149*b292 + 12596*b149*b293 + 11524*b149*
    b294 + 8308*b149*b295 + 11256*b149*b296 + 4556*b149*b297 + 3618*b149*b298
     + 12194*b149*b299 + 12060*b149*b300 + 4824*b149*b301 + 3886*b149*b302 + 
    5628*b149*b304 + 3082*b149*b305 + 8308*b149*b306 + 8308*b149*b307 + 3752*
    b149*b308 + 10184*b149*b309 + 8844*b149*b310 + 10184*b149*b311 + 5360*b149*
    b312 + 10184*b149*b313 + 7236*b149*b314 + 12596*b149*b315 + 11524*b149*b316
     + 8308*b149*b317 + 11256*b149*b318 + 4556*b149*b319 + 3618*b149*b320 + 
    12194*b149*b321 + 12060*b149*b322 + 4824*b149*b323 + 3886*b149*b324 + 5628*
    b149*b326 + 3082*b149*b327 + 8308*b149*b328 + 8308*b149*b329 + 3752*b149*
    b330 + 10184*b149*b331 + 8844*b149*b332 + 3648*b149*b333 + 1920*b149*b334
     + 3648*b149*b335 + 2592*b149*b336 + 4512*b149*b337 + 4128*b149*b338 + 2976
    *b149*b339 + 4032*b149*b340 + 1632*b149*b341 + 1296*b149*b342 + 4368*b149*
    b343 + 4320*b149*b344 + 1728*b149*b345 + 1392*b149*b346 + 2016*b149*b348 + 
    1104*b149*b349 + 2976*b149*b350 + 2976*b149*b351 + 1344*b149*b352 + 3648*
    b149*b353 + 3168*b149*b354 + 1520*b149*b355 + 800*b149*b356 + 1520*b149*
    b357 + 1080*b149*b358 + 1880*b149*b359 + 1720*b149*b360 + 1240*b149*b361 + 
    1680*b149*b362 + 680*b149*b363 + 540*b149*b364 + 1820*b149*b365 + 1800*b149
    *b366 + 720*b149*b367 + 580*b149*b368 + 840*b149*b370 + 460*b149*b371 + 
    1240*b149*b372 + 1240*b149*b373 + 560*b149*b374 + 1520*b149*b375 + 1320*
    b149*b376 + 6992*b149*b377 + 3680*b149*b378 + 6992*b149*b379 + 4968*b149*
    b380 + 8648*b149*b381 + 7912*b149*b382 + 5704*b149*b383 + 7728*b149*b384 + 
    3128*b149*b385 + 2484*b149*b386 + 8372*b149*b387 + 8280*b149*b388 + 3312*
    b149*b389 + 2668*b149*b390 + 3864*b149*b392 + 2116*b149*b393 + 5704*b149*
    b394 + 5704*b149*b395 + 2576*b149*b396 + 6992*b149*b397 + 6072*b149*b398 + 
    8512*b149*b399 + 4480*b149*b400 + 8512*b149*b401 + 6048*b149*b402 + 10528*
    b149*b403 + 9632*b149*b404 + 6944*b149*b405 + 9408*b149*b406 + 3808*b149*
    b407 + 3024*b149*b408 + 10192*b149*b409 + 10080*b149*b410 + 4032*b149*b411
     + 3248*b149*b412 + 4704*b149*b414 + 2576*b149*b415 + 6944*b149*b416 + 6944
    *b149*b417 + 3136*b149*b418 + 8512*b149*b419 + 7392*b149*b420 + 8512*b149*
    b421 + 4480*b149*b422 + 8512*b149*b423 + 6048*b149*b424 + 10528*b149*b425
     + 9632*b149*b426 + 6944*b149*b427 + 9408*b149*b428 + 3808*b149*b429 + 3024
    *b149*b430 + 10192*b149*b431 + 10080*b149*b432 + 4032*b149*b433 + 3248*b149
    *b434 + 4704*b149*b436 + 2576*b149*b437 + 6944*b149*b438 + 6944*b149*b439
     + 3136*b149*b440 + 8512*b149*b441 + 7392*b149*b442 + 10488*b149*b443 + 
    5520*b149*b444 + 10488*b149*b445 + 7452*b149*b446 + 12972*b149*b447 + 11868
    *b149*b448 + 8556*b149*b449 + 11592*b149*b450 + 4692*b149*b451 + 3726*b149*
    b452 + 12558*b149*b453 + 12420*b149*b454 + 4968*b149*b455 + 4002*b149*b456
     + 5796*b149*b458 + 3174*b149*b459 + 8556*b149*b460 + 8556*b149*b461 + 3864
    *b149*b462 + 10488*b149*b463 + 9108*b149*b464 + 8056*b149*b465 + 4240*b149*
    b466 + 8056*b149*b467 + 5724*b149*b468 + 9964*b149*b469 + 9116*b149*b470 + 
    6572*b149*b471 + 8904*b149*b472 + 3604*b149*b473 + 2862*b149*b474 + 9646*
    b149*b475 + 9540*b149*b476 + 3816*b149*b477 + 3074*b149*b478 + 4452*b149*
    b480 + 2438*b149*b481 + 6572*b149*b482 + 6572*b149*b483 + 2968*b149*b484 + 
    8056*b149*b485 + 6996*b149*b486 + 7296*b149*b487 + 3840*b149*b488 + 7296*
    b149*b489 + 5184*b149*b490 + 9024*b149*b491 + 8256*b149*b492 + 5952*b149*
    b493 + 8064*b149*b494 + 3264*b149*b495 + 2592*b149*b496 + 8736*b149*b497 + 
    8640*b149*b498 + 3456*b149*b499 + 2784*b149*b500 + 4032*b149*b502 + 2208*
    b149*b503 + 5952*b149*b504 + 5952*b149*b505 + 2688*b149*b506 + 7296*b149*
    b507 + 6336*b149*b508 + 11248*b149*b509 + 5920*b149*b510 + 11248*b149*b511
     + 7992*b149*b512 + 13912*b149*b513 + 12728*b149*b514 + 9176*b149*b515 + 
    12432*b149*b516 + 5032*b149*b517 + 3996*b149*b518 + 13468*b149*b519 + 13320
    *b149*b520 + 5328*b149*b521 + 4292*b149*b522 + 6216*b149*b524 + 3404*b149*
    b525 + 9176*b149*b526 + 9176*b149*b527 + 4144*b149*b528 + 11248*b149*b529
     + 9768*b149*b530 + 11218*b149*b534 + 9372*b149*b535 + 11644*b149*b536 + 
    9954*b149*b537 + 8316*b149*b538 + 10332*b149*b539 + 6952*b149*b540 + 5808*
    b149*b541 + 7216*b149*b542 + 3476*b149*b543 + 2904*b149*b544 + 3608*b149*
    b545 + 5214*b149*b549 + 4356*b149*b550 + 5412*b149*b551 + 158*b149*b552 + 
    132*b149*b553 + 164*b149*b554 + 11218*b149*b555 + 9372*b149*b556 + 11644*
    b149*b557 + 11376*b149*b558 + 9504*b149*b559 + 11808*b149*b560 + 4108*b149*
    b561 + 3432*b149*b562 + 4264*b149*b563 + 13588*b149*b564 + 11352*b149*b565
     + 14104*b149*b566 + 10586*b149*b567 + 8844*b149*b568 + 10988*b149*b569 + 
    10586*b149*b570 + 8844*b149*b571 + 10988*b149*b572 + 3792*b149*b573 + 3168*
    b149*b574 + 3936*b149*b575 + 1580*b149*b576 + 1320*b149*b577 + 1640*b149*
    b578 + 7268*b149*b579 + 6072*b149*b580 + 7544*b149*b581 + 8848*b149*b582 + 
    7392*b149*b583 + 9184*b149*b584 + 8848*b149*b585 + 7392*b149*b586 + 9184*
    b149*b587 + 10902*b149*b588 + 9108*b149*b589 + 11316*b149*b590 + 8374*b149*
    b591 + 6996*b149*b592 + 8692*b149*b593 + 7584*b149*b594 + 6336*b149*b595 + 
    7872*b149*b596 + 11692*b149*b597 + 9768*b149*b598 + 12136*b149*b599 + 3120*
    b149*b600 + 5928*b149*b601 + 4212*b149*b602 + 7332*b149*b603 + 6708*b149*
    b604 + 4836*b149*b605 + 6552*b149*b606 + 2652*b149*b607 + 2106*b149*b608 + 
    7098*b149*b609 + 7020*b149*b610 + 2808*b149*b611 + 2262*b149*b612 + 5148*
    b149*b614 + 3276*b149*b615 + 1794*b149*b616 + 4836*b149*b617 + 4836*b149*
    b618 + 2184*b149*b619 + 5928*b149*b620 + 5148*b149*b621 + 6396*b149*b622 + 
    5928*b149*b623 + 15168*b149*b624 + 12672*b149*b625 + 15744*b149*b626 + 1188
    *b150*b157 + 3696*b150*b158 + 2904*b150*b159 + 924*b150*b160 + 132*b150*
    b161 + 5082*b150*b162 + 1650*b150*b163 + 2508*b150*b164 + 2640*b150*b165 + 
    396*b150*b166 + 5742*b150*b167 + 3102*b150*b168 + 462*b150*b169 + 5412*b150
    *b170 + 2772*b150*b171 + 5676*b150*b173 + 3960*b150*b174 + 4092*b150*b175
     + 4092*b150*b176 + 5478*b150*b177 + 6006*b150*b178 + 36*b150*b179 + 112*
    b150*b180 + 88*b150*b181 + 28*b150*b182 + 4*b150*b183 + 154*b150*b184 + 50*
    b150*b185 + 76*b150*b186 + 80*b150*b187 + 12*b150*b188 + 174*b150*b189 + 94
    *b150*b190 + 14*b150*b191 + 164*b150*b192 + 84*b150*b193 + 172*b150*b195 + 
    120*b150*b196 + 124*b150*b197 + 124*b150*b198 + 166*b150*b199 + 182*b150*
    b200 + 2556*b150*b201 + 7952*b150*b202 + 6248*b150*b203 + 1988*b150*b204 + 
    284*b150*b205 + 10934*b150*b206 + 3550*b150*b207 + 5396*b150*b208 + 5680*
    b150*b209 + 852*b150*b210 + 12354*b150*b211 + 6674*b150*b212 + 994*b150*
    b213 + 11644*b150*b214 + 5964*b150*b215 + 12212*b150*b217 + 8520*b150*b218
     + 8804*b150*b219 + 8804*b150*b220 + 11786*b150*b221 + 12922*b150*b222 + 
    2592*b150*b223 + 8064*b150*b224 + 6336*b150*b225 + 2016*b150*b226 + 288*
    b150*b227 + 11088*b150*b228 + 3600*b150*b229 + 5472*b150*b230 + 5760*b150*
    b231 + 864*b150*b232 + 12528*b150*b233 + 6768*b150*b234 + 1008*b150*b235 + 
    11808*b150*b236 + 6048*b150*b237 + 12384*b150*b239 + 8640*b150*b240 + 8928*
    b150*b241 + 8928*b150*b242 + 11952*b150*b243 + 13104*b150*b244 + 936*b150*
    b245 + 2912*b150*b246 + 2288*b150*b247 + 728*b150*b248 + 104*b150*b249 + 
    4004*b150*b250 + 1300*b150*b251 + 1976*b150*b252 + 2080*b150*b253 + 312*
    b150*b254 + 4524*b150*b255 + 2444*b150*b256 + 364*b150*b257 + 4264*b150*
    b258 + 2184*b150*b259 + 4472*b150*b261 + 3120*b150*b262 + 3224*b150*b263 + 
    3224*b150*b264 + 4316*b150*b265 + 4732*b150*b266 + 3096*b150*b267 + 9632*
    b150*b268 + 7568*b150*b269 + 2408*b150*b270 + 344*b150*b271 + 13244*b150*
    b272 + 4300*b150*b273 + 6536*b150*b274 + 6880*b150*b275 + 1032*b150*b276 + 
    14964*b150*b277 + 8084*b150*b278 + 1204*b150*b279 + 14104*b150*b280 + 7224*
    b150*b281 + 14792*b150*b283 + 10320*b150*b284 + 10664*b150*b285 + 10664*
    b150*b286 + 14276*b150*b287 + 15652*b150*b288 + 2412*b150*b289 + 7504*b150*
    b290 + 5896*b150*b291 + 1876*b150*b292 + 268*b150*b293 + 10318*b150*b294 + 
    3350*b150*b295 + 5092*b150*b296 + 5360*b150*b297 + 804*b150*b298 + 11658*
    b150*b299 + 6298*b150*b300 + 938*b150*b301 + 10988*b150*b302 + 5628*b150*
    b303 + 11524*b150*b305 + 8040*b150*b306 + 8308*b150*b307 + 8308*b150*b308
     + 11122*b150*b309 + 12194*b150*b310 + 2412*b150*b311 + 7504*b150*b312 + 
    5896*b150*b313 + 1876*b150*b314 + 268*b150*b315 + 10318*b150*b316 + 3350*
    b150*b317 + 5092*b150*b318 + 5360*b150*b319 + 804*b150*b320 + 11658*b150*
    b321 + 6298*b150*b322 + 938*b150*b323 + 10988*b150*b324 + 5628*b150*b325 + 
    11524*b150*b327 + 8040*b150*b328 + 8308*b150*b329 + 8308*b150*b330 + 11122*
    b150*b331 + 12194*b150*b332 + 864*b150*b333 + 2688*b150*b334 + 2112*b150*
    b335 + 672*b150*b336 + 96*b150*b337 + 3696*b150*b338 + 1200*b150*b339 + 
    1824*b150*b340 + 1920*b150*b341 + 288*b150*b342 + 4176*b150*b343 + 2256*
    b150*b344 + 336*b150*b345 + 3936*b150*b346 + 2016*b150*b347 + 4128*b150*
    b349 + 2880*b150*b350 + 2976*b150*b351 + 2976*b150*b352 + 3984*b150*b353 + 
    4368*b150*b354 + 360*b150*b355 + 1120*b150*b356 + 880*b150*b357 + 280*b150*
    b358 + 40*b150*b359 + 1540*b150*b360 + 500*b150*b361 + 760*b150*b362 + 800*
    b150*b363 + 120*b150*b364 + 1740*b150*b365 + 940*b150*b366 + 140*b150*b367
     + 1640*b150*b368 + 840*b150*b369 + 1720*b150*b371 + 1200*b150*b372 + 1240*
    b150*b373 + 1240*b150*b374 + 1660*b150*b375 + 1820*b150*b376 + 1656*b150*
    b377 + 5152*b150*b378 + 4048*b150*b379 + 1288*b150*b380 + 184*b150*b381 + 
    7084*b150*b382 + 2300*b150*b383 + 3496*b150*b384 + 3680*b150*b385 + 552*
    b150*b386 + 8004*b150*b387 + 4324*b150*b388 + 644*b150*b389 + 7544*b150*
    b390 + 3864*b150*b391 + 7912*b150*b393 + 5520*b150*b394 + 5704*b150*b395 + 
    5704*b150*b396 + 7636*b150*b397 + 8372*b150*b398 + 2016*b150*b399 + 6272*
    b150*b400 + 4928*b150*b401 + 1568*b150*b402 + 224*b150*b403 + 8624*b150*
    b404 + 2800*b150*b405 + 4256*b150*b406 + 4480*b150*b407 + 672*b150*b408 + 
    9744*b150*b409 + 5264*b150*b410 + 784*b150*b411 + 9184*b150*b412 + 4704*
    b150*b413 + 9632*b150*b415 + 6720*b150*b416 + 6944*b150*b417 + 6944*b150*
    b418 + 9296*b150*b419 + 10192*b150*b420 + 2016*b150*b421 + 6272*b150*b422
     + 4928*b150*b423 + 1568*b150*b424 + 224*b150*b425 + 8624*b150*b426 + 2800*
    b150*b427 + 4256*b150*b428 + 4480*b150*b429 + 672*b150*b430 + 9744*b150*
    b431 + 5264*b150*b432 + 784*b150*b433 + 9184*b150*b434 + 4704*b150*b435 + 
    9632*b150*b437 + 6720*b150*b438 + 6944*b150*b439 + 6944*b150*b440 + 9296*
    b150*b441 + 10192*b150*b442 + 2484*b150*b443 + 7728*b150*b444 + 6072*b150*
    b445 + 1932*b150*b446 + 276*b150*b447 + 10626*b150*b448 + 3450*b150*b449 + 
    5244*b150*b450 + 5520*b150*b451 + 828*b150*b452 + 12006*b150*b453 + 6486*
    b150*b454 + 966*b150*b455 + 11316*b150*b456 + 5796*b150*b457 + 11868*b150*
    b459 + 8280*b150*b460 + 8556*b150*b461 + 8556*b150*b462 + 11454*b150*b463
     + 12558*b150*b464 + 1908*b150*b465 + 5936*b150*b466 + 4664*b150*b467 + 
    1484*b150*b468 + 212*b150*b469 + 8162*b150*b470 + 2650*b150*b471 + 4028*
    b150*b472 + 4240*b150*b473 + 636*b150*b474 + 9222*b150*b475 + 4982*b150*
    b476 + 742*b150*b477 + 8692*b150*b478 + 4452*b150*b479 + 9116*b150*b481 + 
    6360*b150*b482 + 6572*b150*b483 + 6572*b150*b484 + 8798*b150*b485 + 9646*
    b150*b486 + 1728*b150*b487 + 5376*b150*b488 + 4224*b150*b489 + 1344*b150*
    b490 + 192*b150*b491 + 7392*b150*b492 + 2400*b150*b493 + 3648*b150*b494 + 
    3840*b150*b495 + 576*b150*b496 + 8352*b150*b497 + 4512*b150*b498 + 672*b150
    *b499 + 7872*b150*b500 + 4032*b150*b501 + 8256*b150*b503 + 5760*b150*b504
     + 5952*b150*b505 + 5952*b150*b506 + 7968*b150*b507 + 8736*b150*b508 + 2664
    *b150*b509 + 8288*b150*b510 + 6512*b150*b511 + 2072*b150*b512 + 296*b150*
    b513 + 11396*b150*b514 + 3700*b150*b515 + 5624*b150*b516 + 5920*b150*b517
     + 888*b150*b518 + 12876*b150*b519 + 6956*b150*b520 + 1036*b150*b521 + 
    12136*b150*b522 + 6216*b150*b523 + 12728*b150*b525 + 8880*b150*b526 + 9176*
    b150*b527 + 9176*b150*b528 + 12284*b150*b529 + 13468*b150*b530 + 12638*b150
    *b534 + 13916*b150*b535 + 8094*b150*b536 + 11214*b150*b537 + 12348*b150*
    b538 + 7182*b150*b539 + 7832*b150*b540 + 8624*b150*b541 + 5016*b150*b542 + 
    3916*b150*b543 + 4312*b150*b544 + 2508*b150*b545 + 5874*b150*b549 + 6468*
    b150*b550 + 3762*b150*b551 + 178*b150*b552 + 196*b150*b553 + 114*b150*b554
     + 12638*b150*b555 + 13916*b150*b556 + 8094*b150*b557 + 12816*b150*b558 + 
    14112*b150*b559 + 8208*b150*b560 + 4628*b150*b561 + 5096*b150*b562 + 2964*
    b150*b563 + 15308*b150*b564 + 16856*b150*b565 + 9804*b150*b566 + 11926*b150
    *b567 + 13132*b150*b568 + 7638*b150*b569 + 11926*b150*b570 + 13132*b150*
    b571 + 7638*b150*b572 + 4272*b150*b573 + 4704*b150*b574 + 2736*b150*b575 + 
    1780*b150*b576 + 1960*b150*b577 + 1140*b150*b578 + 8188*b150*b579 + 9016*
    b150*b580 + 5244*b150*b581 + 9968*b150*b582 + 10976*b150*b583 + 6384*b150*
    b584 + 9968*b150*b585 + 10976*b150*b586 + 6384*b150*b587 + 12282*b150*b588
     + 13524*b150*b589 + 7866*b150*b590 + 9434*b150*b591 + 10388*b150*b592 + 
    6042*b150*b593 + 8544*b150*b594 + 9408*b150*b595 + 5472*b150*b596 + 13172*
    b150*b597 + 14504*b150*b598 + 8436*b150*b599 + 4368*b150*b600 + 3432*b150*
    b601 + 1092*b150*b602 + 156*b150*b603 + 6006*b150*b604 + 1950*b150*b605 + 
    2964*b150*b606 + 3120*b150*b607 + 468*b150*b608 + 6786*b150*b609 + 3666*
    b150*b610 + 546*b150*b611 + 6396*b150*b612 + 3276*b150*b613 + 7644*b150*
    b614 + 6708*b150*b616 + 4680*b150*b617 + 4836*b150*b618 + 4836*b150*b619 + 
    6474*b150*b620 + 7098*b150*b621 + 4446*b150*b622 + 1404*b150*b623 + 17088*
    b150*b624 + 18816*b150*b625 + 10944*b150*b626 + 3762*b151*b157 + 66*b151*
    b158 + 5610*b151*b159 + 4686*b151*b160 + 660*b151*b161 + 990*b151*b162 + 
    4950*b151*b163 + 2706*b151*b164 + 4554*b151*b165 + 4422*b151*b166 + 4752*
    b151*b167 + 1650*b151*b168 + 5544*b151*b169 + 1914*b151*b170 + 1518*b151*
    b171 + 5676*b151*b172 + 4092*b151*b174 + 2376*b151*b175 + 132*b151*b176 + 
    132*b151*b177 + 2838*b151*b178 + 114*b151*b179 + 2*b151*b180 + 170*b151*
    b181 + 142*b151*b182 + 20*b151*b183 + 30*b151*b184 + 150*b151*b185 + 82*
    b151*b186 + 138*b151*b187 + 134*b151*b188 + 144*b151*b189 + 50*b151*b190 + 
    168*b151*b191 + 58*b151*b192 + 46*b151*b193 + 172*b151*b194 + 124*b151*b196
     + 72*b151*b197 + 4*b151*b198 + 4*b151*b199 + 86*b151*b200 + 8094*b151*b201
     + 142*b151*b202 + 12070*b151*b203 + 10082*b151*b204 + 1420*b151*b205 + 
    2130*b151*b206 + 10650*b151*b207 + 5822*b151*b208 + 9798*b151*b209 + 9514*
    b151*b210 + 10224*b151*b211 + 3550*b151*b212 + 11928*b151*b213 + 4118*b151*
    b214 + 3266*b151*b215 + 12212*b151*b216 + 8804*b151*b218 + 5112*b151*b219
     + 284*b151*b220 + 284*b151*b221 + 6106*b151*b222 + 8208*b151*b223 + 144*
    b151*b224 + 12240*b151*b225 + 10224*b151*b226 + 1440*b151*b227 + 2160*b151*
    b228 + 10800*b151*b229 + 5904*b151*b230 + 9936*b151*b231 + 9648*b151*b232
     + 10368*b151*b233 + 3600*b151*b234 + 12096*b151*b235 + 4176*b151*b236 + 
    3312*b151*b237 + 12384*b151*b238 + 8928*b151*b240 + 5184*b151*b241 + 288*
    b151*b242 + 288*b151*b243 + 6192*b151*b244 + 2964*b151*b245 + 52*b151*b246
     + 4420*b151*b247 + 3692*b151*b248 + 520*b151*b249 + 780*b151*b250 + 3900*
    b151*b251 + 2132*b151*b252 + 3588*b151*b253 + 3484*b151*b254 + 3744*b151*
    b255 + 1300*b151*b256 + 4368*b151*b257 + 1508*b151*b258 + 1196*b151*b259 + 
    4472*b151*b260 + 3224*b151*b262 + 1872*b151*b263 + 104*b151*b264 + 104*b151
    *b265 + 2236*b151*b266 + 9804*b151*b267 + 172*b151*b268 + 14620*b151*b269
     + 12212*b151*b270 + 1720*b151*b271 + 2580*b151*b272 + 12900*b151*b273 + 
    7052*b151*b274 + 11868*b151*b275 + 11524*b151*b276 + 12384*b151*b277 + 4300
    *b151*b278 + 14448*b151*b279 + 4988*b151*b280 + 3956*b151*b281 + 14792*b151
    *b282 + 10664*b151*b284 + 6192*b151*b285 + 344*b151*b286 + 344*b151*b287 + 
    7396*b151*b288 + 7638*b151*b289 + 134*b151*b290 + 11390*b151*b291 + 9514*
    b151*b292 + 1340*b151*b293 + 2010*b151*b294 + 10050*b151*b295 + 5494*b151*
    b296 + 9246*b151*b297 + 8978*b151*b298 + 9648*b151*b299 + 3350*b151*b300 + 
    11256*b151*b301 + 3886*b151*b302 + 3082*b151*b303 + 11524*b151*b304 + 8308*
    b151*b306 + 4824*b151*b307 + 268*b151*b308 + 268*b151*b309 + 5762*b151*b310
     + 7638*b151*b311 + 134*b151*b312 + 11390*b151*b313 + 9514*b151*b314 + 1340
    *b151*b315 + 2010*b151*b316 + 10050*b151*b317 + 5494*b151*b318 + 9246*b151*
    b319 + 8978*b151*b320 + 9648*b151*b321 + 3350*b151*b322 + 11256*b151*b323
     + 3886*b151*b324 + 3082*b151*b325 + 11524*b151*b326 + 8308*b151*b328 + 
    4824*b151*b329 + 268*b151*b330 + 268*b151*b331 + 5762*b151*b332 + 2736*b151
    *b333 + 48*b151*b334 + 4080*b151*b335 + 3408*b151*b336 + 480*b151*b337 + 
    720*b151*b338 + 3600*b151*b339 + 1968*b151*b340 + 3312*b151*b341 + 3216*
    b151*b342 + 3456*b151*b343 + 1200*b151*b344 + 4032*b151*b345 + 1392*b151*
    b346 + 1104*b151*b347 + 4128*b151*b348 + 2976*b151*b350 + 1728*b151*b351 + 
    96*b151*b352 + 96*b151*b353 + 2064*b151*b354 + 1140*b151*b355 + 20*b151*
    b356 + 1700*b151*b357 + 1420*b151*b358 + 200*b151*b359 + 300*b151*b360 + 
    1500*b151*b361 + 820*b151*b362 + 1380*b151*b363 + 1340*b151*b364 + 1440*
    b151*b365 + 500*b151*b366 + 1680*b151*b367 + 580*b151*b368 + 460*b151*b369
     + 1720*b151*b370 + 1240*b151*b372 + 720*b151*b373 + 40*b151*b374 + 40*b151
    *b375 + 860*b151*b376 + 5244*b151*b377 + 92*b151*b378 + 7820*b151*b379 + 
    6532*b151*b380 + 920*b151*b381 + 1380*b151*b382 + 6900*b151*b383 + 3772*
    b151*b384 + 6348*b151*b385 + 6164*b151*b386 + 6624*b151*b387 + 2300*b151*
    b388 + 7728*b151*b389 + 2668*b151*b390 + 2116*b151*b391 + 7912*b151*b392 + 
    5704*b151*b394 + 3312*b151*b395 + 184*b151*b396 + 184*b151*b397 + 3956*b151
    *b398 + 6384*b151*b399 + 112*b151*b400 + 9520*b151*b401 + 7952*b151*b402 + 
    1120*b151*b403 + 1680*b151*b404 + 8400*b151*b405 + 4592*b151*b406 + 7728*
    b151*b407 + 7504*b151*b408 + 8064*b151*b409 + 2800*b151*b410 + 9408*b151*
    b411 + 3248*b151*b412 + 2576*b151*b413 + 9632*b151*b414 + 6944*b151*b416 + 
    4032*b151*b417 + 224*b151*b418 + 224*b151*b419 + 4816*b151*b420 + 6384*b151
    *b421 + 112*b151*b422 + 9520*b151*b423 + 7952*b151*b424 + 1120*b151*b425 + 
    1680*b151*b426 + 8400*b151*b427 + 4592*b151*b428 + 7728*b151*b429 + 7504*
    b151*b430 + 8064*b151*b431 + 2800*b151*b432 + 9408*b151*b433 + 3248*b151*
    b434 + 2576*b151*b435 + 9632*b151*b436 + 6944*b151*b438 + 4032*b151*b439 + 
    224*b151*b440 + 224*b151*b441 + 4816*b151*b442 + 7866*b151*b443 + 138*b151*
    b444 + 11730*b151*b445 + 9798*b151*b446 + 1380*b151*b447 + 2070*b151*b448
     + 10350*b151*b449 + 5658*b151*b450 + 9522*b151*b451 + 9246*b151*b452 + 
    9936*b151*b453 + 3450*b151*b454 + 11592*b151*b455 + 4002*b151*b456 + 3174*
    b151*b457 + 11868*b151*b458 + 8556*b151*b460 + 4968*b151*b461 + 276*b151*
    b462 + 276*b151*b463 + 5934*b151*b464 + 6042*b151*b465 + 106*b151*b466 + 
    9010*b151*b467 + 7526*b151*b468 + 1060*b151*b469 + 1590*b151*b470 + 7950*
    b151*b471 + 4346*b151*b472 + 7314*b151*b473 + 7102*b151*b474 + 7632*b151*
    b475 + 2650*b151*b476 + 8904*b151*b477 + 3074*b151*b478 + 2438*b151*b479 + 
    9116*b151*b480 + 6572*b151*b482 + 3816*b151*b483 + 212*b151*b484 + 212*b151
    *b485 + 4558*b151*b486 + 5472*b151*b487 + 96*b151*b488 + 8160*b151*b489 + 
    6816*b151*b490 + 960*b151*b491 + 1440*b151*b492 + 7200*b151*b493 + 3936*
    b151*b494 + 6624*b151*b495 + 6432*b151*b496 + 6912*b151*b497 + 2400*b151*
    b498 + 8064*b151*b499 + 2784*b151*b500 + 2208*b151*b501 + 8256*b151*b502 + 
    5952*b151*b504 + 3456*b151*b505 + 192*b151*b506 + 192*b151*b507 + 4128*b151
    *b508 + 8436*b151*b509 + 148*b151*b510 + 12580*b151*b511 + 10508*b151*b512
     + 1480*b151*b513 + 2220*b151*b514 + 11100*b151*b515 + 6068*b151*b516 + 
    10212*b151*b517 + 9916*b151*b518 + 10656*b151*b519 + 3700*b151*b520 + 12432
    *b151*b521 + 4292*b151*b522 + 3404*b151*b523 + 12728*b151*b524 + 9176*b151*
    b526 + 5328*b151*b527 + 296*b151*b528 + 296*b151*b529 + 6364*b151*b530 + 
    4970*b151*b534 + 4970*b151*b535 + 9230*b151*b536 + 4410*b151*b537 + 4410*
    b151*b538 + 8190*b151*b539 + 3080*b151*b540 + 3080*b151*b541 + 5720*b151*
    b542 + 1540*b151*b543 + 1540*b151*b544 + 2860*b151*b545 + 2310*b151*b549 + 
    2310*b151*b550 + 4290*b151*b551 + 70*b151*b552 + 70*b151*b553 + 130*b151*
    b554 + 4970*b151*b555 + 4970*b151*b556 + 9230*b151*b557 + 5040*b151*b558 + 
    5040*b151*b559 + 9360*b151*b560 + 1820*b151*b561 + 1820*b151*b562 + 3380*
    b151*b563 + 6020*b151*b564 + 6020*b151*b565 + 11180*b151*b566 + 4690*b151*
    b567 + 4690*b151*b568 + 8710*b151*b569 + 4690*b151*b570 + 4690*b151*b571 + 
    8710*b151*b572 + 1680*b151*b573 + 1680*b151*b574 + 3120*b151*b575 + 700*
    b151*b576 + 700*b151*b577 + 1300*b151*b578 + 3220*b151*b579 + 3220*b151*
    b580 + 5980*b151*b581 + 3920*b151*b582 + 3920*b151*b583 + 7280*b151*b584 + 
    3920*b151*b585 + 3920*b151*b586 + 7280*b151*b587 + 4830*b151*b588 + 4830*
    b151*b589 + 8970*b151*b590 + 3710*b151*b591 + 3710*b151*b592 + 6890*b151*
    b593 + 3360*b151*b594 + 3360*b151*b595 + 6240*b151*b596 + 5180*b151*b597 + 
    5180*b151*b598 + 9620*b151*b599 + 78*b151*b600 + 6630*b151*b601 + 5538*b151
    *b602 + 780*b151*b603 + 1170*b151*b604 + 5850*b151*b605 + 3198*b151*b606 + 
    5382*b151*b607 + 5226*b151*b608 + 5616*b151*b609 + 1950*b151*b610 + 6552*
    b151*b611 + 2262*b151*b612 + 1794*b151*b613 + 2730*b151*b614 + 6708*b151*
    b615 + 4836*b151*b617 + 2808*b151*b618 + 156*b151*b619 + 156*b151*b620 + 
    3354*b151*b621 + 5070*b151*b622 + 4446*b151*b623 + 6720*b151*b624 + 6720*
    b151*b625 + 12480*b151*b626 + 2376*b152*b157 + 3300*b152*b158 + 6204*b152*
    b159 + 5082*b152*b160 + 6534*b152*b161 + 5874*b152*b162 + 5016*b152*b163 + 
    3696*b152*b164 + 792*b152*b165 + 1716*b152*b166 + 2970*b152*b167 + 1980*
    b152*b168 + 396*b152*b169 + 198*b152*b170 + 4092*b152*b171 + 3960*b152*b172
     + 4092*b152*b173 + 2442*b152*b175 + 3234*b152*b176 + 4026*b152*b177 + 330*
    b152*b178 + 72*b152*b179 + 100*b152*b180 + 188*b152*b181 + 154*b152*b182 + 
    198*b152*b183 + 178*b152*b184 + 152*b152*b185 + 112*b152*b186 + 24*b152*
    b187 + 52*b152*b188 + 90*b152*b189 + 60*b152*b190 + 12*b152*b191 + 6*b152*
    b192 + 124*b152*b193 + 120*b152*b194 + 124*b152*b195 + 74*b152*b197 + 98*
    b152*b198 + 122*b152*b199 + 10*b152*b200 + 5112*b152*b201 + 7100*b152*b202
     + 13348*b152*b203 + 10934*b152*b204 + 14058*b152*b205 + 12638*b152*b206 + 
    10792*b152*b207 + 7952*b152*b208 + 1704*b152*b209 + 3692*b152*b210 + 6390*
    b152*b211 + 4260*b152*b212 + 852*b152*b213 + 426*b152*b214 + 8804*b152*b215
     + 8520*b152*b216 + 8804*b152*b217 + 5254*b152*b219 + 6958*b152*b220 + 8662
    *b152*b221 + 710*b152*b222 + 5184*b152*b223 + 7200*b152*b224 + 13536*b152*
    b225 + 11088*b152*b226 + 14256*b152*b227 + 12816*b152*b228 + 10944*b152*
    b229 + 8064*b152*b230 + 1728*b152*b231 + 3744*b152*b232 + 6480*b152*b233 + 
    4320*b152*b234 + 864*b152*b235 + 432*b152*b236 + 8928*b152*b237 + 8640*b152
    *b238 + 8928*b152*b239 + 5328*b152*b241 + 7056*b152*b242 + 8784*b152*b243
     + 720*b152*b244 + 1872*b152*b245 + 2600*b152*b246 + 4888*b152*b247 + 4004*
    b152*b248 + 5148*b152*b249 + 4628*b152*b250 + 3952*b152*b251 + 2912*b152*
    b252 + 624*b152*b253 + 1352*b152*b254 + 2340*b152*b255 + 1560*b152*b256 + 
    312*b152*b257 + 156*b152*b258 + 3224*b152*b259 + 3120*b152*b260 + 3224*b152
    *b261 + 1924*b152*b263 + 2548*b152*b264 + 3172*b152*b265 + 260*b152*b266 + 
    6192*b152*b267 + 8600*b152*b268 + 16168*b152*b269 + 13244*b152*b270 + 17028
    *b152*b271 + 15308*b152*b272 + 13072*b152*b273 + 9632*b152*b274 + 2064*b152
    *b275 + 4472*b152*b276 + 7740*b152*b277 + 5160*b152*b278 + 1032*b152*b279
     + 516*b152*b280 + 10664*b152*b281 + 10320*b152*b282 + 10664*b152*b283 + 
    6364*b152*b285 + 8428*b152*b286 + 10492*b152*b287 + 860*b152*b288 + 4824*
    b152*b289 + 6700*b152*b290 + 12596*b152*b291 + 10318*b152*b292 + 13266*b152
    *b293 + 11926*b152*b294 + 10184*b152*b295 + 7504*b152*b296 + 1608*b152*b297
     + 3484*b152*b298 + 6030*b152*b299 + 4020*b152*b300 + 804*b152*b301 + 402*
    b152*b302 + 8308*b152*b303 + 8040*b152*b304 + 8308*b152*b305 + 4958*b152*
    b307 + 6566*b152*b308 + 8174*b152*b309 + 670*b152*b310 + 4824*b152*b311 + 
    6700*b152*b312 + 12596*b152*b313 + 10318*b152*b314 + 13266*b152*b315 + 
    11926*b152*b316 + 10184*b152*b317 + 7504*b152*b318 + 1608*b152*b319 + 3484*
    b152*b320 + 6030*b152*b321 + 4020*b152*b322 + 804*b152*b323 + 402*b152*b324
     + 8308*b152*b325 + 8040*b152*b326 + 8308*b152*b327 + 4958*b152*b329 + 6566
    *b152*b330 + 8174*b152*b331 + 670*b152*b332 + 1728*b152*b333 + 2400*b152*
    b334 + 4512*b152*b335 + 3696*b152*b336 + 4752*b152*b337 + 4272*b152*b338 + 
    3648*b152*b339 + 2688*b152*b340 + 576*b152*b341 + 1248*b152*b342 + 2160*
    b152*b343 + 1440*b152*b344 + 288*b152*b345 + 144*b152*b346 + 2976*b152*b347
     + 2880*b152*b348 + 2976*b152*b349 + 1776*b152*b351 + 2352*b152*b352 + 2928
    *b152*b353 + 240*b152*b354 + 720*b152*b355 + 1000*b152*b356 + 1880*b152*
    b357 + 1540*b152*b358 + 1980*b152*b359 + 1780*b152*b360 + 1520*b152*b361 + 
    1120*b152*b362 + 240*b152*b363 + 520*b152*b364 + 900*b152*b365 + 600*b152*
    b366 + 120*b152*b367 + 60*b152*b368 + 1240*b152*b369 + 1200*b152*b370 + 
    1240*b152*b371 + 740*b152*b373 + 980*b152*b374 + 1220*b152*b375 + 100*b152*
    b376 + 3312*b152*b377 + 4600*b152*b378 + 8648*b152*b379 + 7084*b152*b380 + 
    9108*b152*b381 + 8188*b152*b382 + 6992*b152*b383 + 5152*b152*b384 + 1104*
    b152*b385 + 2392*b152*b386 + 4140*b152*b387 + 2760*b152*b388 + 552*b152*
    b389 + 276*b152*b390 + 5704*b152*b391 + 5520*b152*b392 + 5704*b152*b393 + 
    3404*b152*b395 + 4508*b152*b396 + 5612*b152*b397 + 460*b152*b398 + 4032*
    b152*b399 + 5600*b152*b400 + 10528*b152*b401 + 8624*b152*b402 + 11088*b152*
    b403 + 9968*b152*b404 + 8512*b152*b405 + 6272*b152*b406 + 1344*b152*b407 + 
    2912*b152*b408 + 5040*b152*b409 + 3360*b152*b410 + 672*b152*b411 + 336*b152
    *b412 + 6944*b152*b413 + 6720*b152*b414 + 6944*b152*b415 + 4144*b152*b417
     + 5488*b152*b418 + 6832*b152*b419 + 560*b152*b420 + 4032*b152*b421 + 5600*
    b152*b422 + 10528*b152*b423 + 8624*b152*b424 + 11088*b152*b425 + 9968*b152*
    b426 + 8512*b152*b427 + 6272*b152*b428 + 1344*b152*b429 + 2912*b152*b430 + 
    5040*b152*b431 + 3360*b152*b432 + 672*b152*b433 + 336*b152*b434 + 6944*b152
    *b435 + 6720*b152*b436 + 6944*b152*b437 + 4144*b152*b439 + 5488*b152*b440
     + 6832*b152*b441 + 560*b152*b442 + 4968*b152*b443 + 6900*b152*b444 + 12972
    *b152*b445 + 10626*b152*b446 + 13662*b152*b447 + 12282*b152*b448 + 10488*
    b152*b449 + 7728*b152*b450 + 1656*b152*b451 + 3588*b152*b452 + 6210*b152*
    b453 + 4140*b152*b454 + 828*b152*b455 + 414*b152*b456 + 8556*b152*b457 + 
    8280*b152*b458 + 8556*b152*b459 + 5106*b152*b461 + 6762*b152*b462 + 8418*
    b152*b463 + 690*b152*b464 + 3816*b152*b465 + 5300*b152*b466 + 9964*b152*
    b467 + 8162*b152*b468 + 10494*b152*b469 + 9434*b152*b470 + 8056*b152*b471
     + 5936*b152*b472 + 1272*b152*b473 + 2756*b152*b474 + 4770*b152*b475 + 3180
    *b152*b476 + 636*b152*b477 + 318*b152*b478 + 6572*b152*b479 + 6360*b152*
    b480 + 6572*b152*b481 + 3922*b152*b483 + 5194*b152*b484 + 6466*b152*b485 + 
    530*b152*b486 + 3456*b152*b487 + 4800*b152*b488 + 9024*b152*b489 + 7392*
    b152*b490 + 9504*b152*b491 + 8544*b152*b492 + 7296*b152*b493 + 5376*b152*
    b494 + 1152*b152*b495 + 2496*b152*b496 + 4320*b152*b497 + 2880*b152*b498 + 
    576*b152*b499 + 288*b152*b500 + 5952*b152*b501 + 5760*b152*b502 + 5952*b152
    *b503 + 3552*b152*b505 + 4704*b152*b506 + 5856*b152*b507 + 480*b152*b508 + 
    5328*b152*b509 + 7400*b152*b510 + 13912*b152*b511 + 11396*b152*b512 + 14652
    *b152*b513 + 13172*b152*b514 + 11248*b152*b515 + 8288*b152*b516 + 1776*b152
    *b517 + 3848*b152*b518 + 6660*b152*b519 + 4440*b152*b520 + 888*b152*b521 + 
    444*b152*b522 + 9176*b152*b523 + 8880*b152*b524 + 9176*b152*b525 + 5476*
    b152*b527 + 7252*b152*b528 + 9028*b152*b529 + 740*b152*b530 + 1278*b152*
    b534 + 2130*b152*b535 + 4828*b152*b536 + 1134*b152*b537 + 1890*b152*b538 + 
    4284*b152*b539 + 792*b152*b540 + 1320*b152*b541 + 2992*b152*b542 + 396*b152
    *b543 + 660*b152*b544 + 1496*b152*b545 + 594*b152*b549 + 990*b152*b550 + 
    2244*b152*b551 + 18*b152*b552 + 30*b152*b553 + 68*b152*b554 + 1278*b152*
    b555 + 2130*b152*b556 + 4828*b152*b557 + 1296*b152*b558 + 2160*b152*b559 + 
    4896*b152*b560 + 468*b152*b561 + 780*b152*b562 + 1768*b152*b563 + 1548*b152
    *b564 + 2580*b152*b565 + 5848*b152*b566 + 1206*b152*b567 + 2010*b152*b568
     + 4556*b152*b569 + 1206*b152*b570 + 2010*b152*b571 + 4556*b152*b572 + 432*
    b152*b573 + 720*b152*b574 + 1632*b152*b575 + 180*b152*b576 + 300*b152*b577
     + 680*b152*b578 + 828*b152*b579 + 1380*b152*b580 + 3128*b152*b581 + 1008*
    b152*b582 + 1680*b152*b583 + 3808*b152*b584 + 1008*b152*b585 + 1680*b152*
    b586 + 3808*b152*b587 + 1242*b152*b588 + 2070*b152*b589 + 4692*b152*b590 + 
    954*b152*b591 + 1590*b152*b592 + 3604*b152*b593 + 864*b152*b594 + 1440*b152
    *b595 + 3264*b152*b596 + 1332*b152*b597 + 2220*b152*b598 + 5032*b152*b599
     + 3900*b152*b600 + 7332*b152*b601 + 6006*b152*b602 + 7722*b152*b603 + 6942
    *b152*b604 + 5928*b152*b605 + 4368*b152*b606 + 936*b152*b607 + 2028*b152*
    b608 + 3510*b152*b609 + 2340*b152*b610 + 468*b152*b611 + 234*b152*b612 + 
    4836*b152*b613 + 1170*b152*b614 + 4680*b152*b615 + 4836*b152*b616 + 2886*
    b152*b618 + 3822*b152*b619 + 4758*b152*b620 + 390*b152*b621 + 2652*b152*
    b622 + 2808*b152*b623 + 1728*b152*b624 + 2880*b152*b625 + 6528*b152*b626 + 
    4026*b153*b157 + 264*b153*b158 + 5940*b153*b159 + 2376*b153*b160 + 3696*
    b153*b161 + 3168*b153*b162 + 2640*b153*b163 + 2574*b153*b164 + 5610*b153*
    b165 + 5412*b153*b166 + 6336*b153*b167 + 2838*b153*b168 + 198*b153*b170 + 
    4092*b153*b171 + 4092*b153*b172 + 2376*b153*b173 + 2442*b153*b174 + 3498*
    b153*b176 + 6336*b153*b177 + 5412*b153*b178 + 122*b153*b179 + 8*b153*b180
     + 180*b153*b181 + 72*b153*b182 + 112*b153*b183 + 96*b153*b184 + 80*b153*
    b185 + 78*b153*b186 + 170*b153*b187 + 164*b153*b188 + 192*b153*b189 + 86*
    b153*b190 + 6*b153*b192 + 124*b153*b193 + 124*b153*b194 + 72*b153*b195 + 74
    *b153*b196 + 106*b153*b198 + 192*b153*b199 + 164*b153*b200 + 8662*b153*b201
     + 568*b153*b202 + 12780*b153*b203 + 5112*b153*b204 + 7952*b153*b205 + 6816
    *b153*b206 + 5680*b153*b207 + 5538*b153*b208 + 12070*b153*b209 + 11644*b153
    *b210 + 13632*b153*b211 + 6106*b153*b212 + 426*b153*b214 + 8804*b153*b215
     + 8804*b153*b216 + 5112*b153*b217 + 5254*b153*b218 + 7526*b153*b220 + 
    13632*b153*b221 + 11644*b153*b222 + 8784*b153*b223 + 576*b153*b224 + 12960*
    b153*b225 + 5184*b153*b226 + 8064*b153*b227 + 6912*b153*b228 + 5760*b153*
    b229 + 5616*b153*b230 + 12240*b153*b231 + 11808*b153*b232 + 13824*b153*b233
     + 6192*b153*b234 + 432*b153*b236 + 8928*b153*b237 + 8928*b153*b238 + 5184*
    b153*b239 + 5328*b153*b240 + 7632*b153*b242 + 13824*b153*b243 + 11808*b153*
    b244 + 3172*b153*b245 + 208*b153*b246 + 4680*b153*b247 + 1872*b153*b248 + 
    2912*b153*b249 + 2496*b153*b250 + 2080*b153*b251 + 2028*b153*b252 + 4420*
    b153*b253 + 4264*b153*b254 + 4992*b153*b255 + 2236*b153*b256 + 156*b153*
    b258 + 3224*b153*b259 + 3224*b153*b260 + 1872*b153*b261 + 1924*b153*b262 + 
    2756*b153*b264 + 4992*b153*b265 + 4264*b153*b266 + 10492*b153*b267 + 688*
    b153*b268 + 15480*b153*b269 + 6192*b153*b270 + 9632*b153*b271 + 8256*b153*
    b272 + 6880*b153*b273 + 6708*b153*b274 + 14620*b153*b275 + 14104*b153*b276
     + 16512*b153*b277 + 7396*b153*b278 + 516*b153*b280 + 10664*b153*b281 + 
    10664*b153*b282 + 6192*b153*b283 + 6364*b153*b284 + 9116*b153*b286 + 16512*
    b153*b287 + 14104*b153*b288 + 8174*b153*b289 + 536*b153*b290 + 12060*b153*
    b291 + 4824*b153*b292 + 7504*b153*b293 + 6432*b153*b294 + 5360*b153*b295 + 
    5226*b153*b296 + 11390*b153*b297 + 10988*b153*b298 + 12864*b153*b299 + 5762
    *b153*b300 + 402*b153*b302 + 8308*b153*b303 + 8308*b153*b304 + 4824*b153*
    b305 + 4958*b153*b306 + 7102*b153*b308 + 12864*b153*b309 + 10988*b153*b310
     + 8174*b153*b311 + 536*b153*b312 + 12060*b153*b313 + 4824*b153*b314 + 7504
    *b153*b315 + 6432*b153*b316 + 5360*b153*b317 + 5226*b153*b318 + 11390*b153*
    b319 + 10988*b153*b320 + 12864*b153*b321 + 5762*b153*b322 + 402*b153*b324
     + 8308*b153*b325 + 8308*b153*b326 + 4824*b153*b327 + 4958*b153*b328 + 7102
    *b153*b330 + 12864*b153*b331 + 10988*b153*b332 + 2928*b153*b333 + 192*b153*
    b334 + 4320*b153*b335 + 1728*b153*b336 + 2688*b153*b337 + 2304*b153*b338 + 
    1920*b153*b339 + 1872*b153*b340 + 4080*b153*b341 + 3936*b153*b342 + 4608*
    b153*b343 + 2064*b153*b344 + 144*b153*b346 + 2976*b153*b347 + 2976*b153*
    b348 + 1728*b153*b349 + 1776*b153*b350 + 2544*b153*b352 + 4608*b153*b353 + 
    3936*b153*b354 + 1220*b153*b355 + 80*b153*b356 + 1800*b153*b357 + 720*b153*
    b358 + 1120*b153*b359 + 960*b153*b360 + 800*b153*b361 + 780*b153*b362 + 
    1700*b153*b363 + 1640*b153*b364 + 1920*b153*b365 + 860*b153*b366 + 60*b153*
    b368 + 1240*b153*b369 + 1240*b153*b370 + 720*b153*b371 + 740*b153*b372 + 
    1060*b153*b374 + 1920*b153*b375 + 1640*b153*b376 + 5612*b153*b377 + 368*
    b153*b378 + 8280*b153*b379 + 3312*b153*b380 + 5152*b153*b381 + 4416*b153*
    b382 + 3680*b153*b383 + 3588*b153*b384 + 7820*b153*b385 + 7544*b153*b386 + 
    8832*b153*b387 + 3956*b153*b388 + 276*b153*b390 + 5704*b153*b391 + 5704*
    b153*b392 + 3312*b153*b393 + 3404*b153*b394 + 4876*b153*b396 + 8832*b153*
    b397 + 7544*b153*b398 + 6832*b153*b399 + 448*b153*b400 + 10080*b153*b401 + 
    4032*b153*b402 + 6272*b153*b403 + 5376*b153*b404 + 4480*b153*b405 + 4368*
    b153*b406 + 9520*b153*b407 + 9184*b153*b408 + 10752*b153*b409 + 4816*b153*
    b410 + 336*b153*b412 + 6944*b153*b413 + 6944*b153*b414 + 4032*b153*b415 + 
    4144*b153*b416 + 5936*b153*b418 + 10752*b153*b419 + 9184*b153*b420 + 6832*
    b153*b421 + 448*b153*b422 + 10080*b153*b423 + 4032*b153*b424 + 6272*b153*
    b425 + 5376*b153*b426 + 4480*b153*b427 + 4368*b153*b428 + 9520*b153*b429 + 
    9184*b153*b430 + 10752*b153*b431 + 4816*b153*b432 + 336*b153*b434 + 6944*
    b153*b435 + 6944*b153*b436 + 4032*b153*b437 + 4144*b153*b438 + 5936*b153*
    b440 + 10752*b153*b441 + 9184*b153*b442 + 8418*b153*b443 + 552*b153*b444 + 
    12420*b153*b445 + 4968*b153*b446 + 7728*b153*b447 + 6624*b153*b448 + 5520*
    b153*b449 + 5382*b153*b450 + 11730*b153*b451 + 11316*b153*b452 + 13248*b153
    *b453 + 5934*b153*b454 + 414*b153*b456 + 8556*b153*b457 + 8556*b153*b458 + 
    4968*b153*b459 + 5106*b153*b460 + 7314*b153*b462 + 13248*b153*b463 + 11316*
    b153*b464 + 6466*b153*b465 + 424*b153*b466 + 9540*b153*b467 + 3816*b153*
    b468 + 5936*b153*b469 + 5088*b153*b470 + 4240*b153*b471 + 4134*b153*b472 + 
    9010*b153*b473 + 8692*b153*b474 + 10176*b153*b475 + 4558*b153*b476 + 318*
    b153*b478 + 6572*b153*b479 + 6572*b153*b480 + 3816*b153*b481 + 3922*b153*
    b482 + 5618*b153*b484 + 10176*b153*b485 + 8692*b153*b486 + 5856*b153*b487
     + 384*b153*b488 + 8640*b153*b489 + 3456*b153*b490 + 5376*b153*b491 + 4608*
    b153*b492 + 3840*b153*b493 + 3744*b153*b494 + 8160*b153*b495 + 7872*b153*
    b496 + 9216*b153*b497 + 4128*b153*b498 + 288*b153*b500 + 5952*b153*b501 + 
    5952*b153*b502 + 3456*b153*b503 + 3552*b153*b504 + 5088*b153*b506 + 9216*
    b153*b507 + 7872*b153*b508 + 9028*b153*b509 + 592*b153*b510 + 13320*b153*
    b511 + 5328*b153*b512 + 8288*b153*b513 + 7104*b153*b514 + 5920*b153*b515 + 
    5772*b153*b516 + 12580*b153*b517 + 12136*b153*b518 + 14208*b153*b519 + 6364
    *b153*b520 + 444*b153*b522 + 9176*b153*b523 + 9176*b153*b524 + 5328*b153*
    b525 + 5476*b153*b526 + 7844*b153*b528 + 14208*b153*b529 + 12136*b153*b530
     + 142*b153*b534 + 2414*b153*b535 + 6816*b153*b536 + 126*b153*b537 + 2142*
    b153*b538 + 6048*b153*b539 + 88*b153*b540 + 1496*b153*b541 + 4224*b153*b542
     + 44*b153*b543 + 748*b153*b544 + 2112*b153*b545 + 66*b153*b549 + 1122*b153
    *b550 + 3168*b153*b551 + 2*b153*b552 + 34*b153*b553 + 96*b153*b554 + 142*
    b153*b555 + 2414*b153*b556 + 6816*b153*b557 + 144*b153*b558 + 2448*b153*
    b559 + 6912*b153*b560 + 52*b153*b561 + 884*b153*b562 + 2496*b153*b563 + 172
    *b153*b564 + 2924*b153*b565 + 8256*b153*b566 + 134*b153*b567 + 2278*b153*
    b568 + 6432*b153*b569 + 134*b153*b570 + 2278*b153*b571 + 6432*b153*b572 + 
    48*b153*b573 + 816*b153*b574 + 2304*b153*b575 + 20*b153*b576 + 340*b153*
    b577 + 960*b153*b578 + 92*b153*b579 + 1564*b153*b580 + 4416*b153*b581 + 112
    *b153*b582 + 1904*b153*b583 + 5376*b153*b584 + 112*b153*b585 + 1904*b153*
    b586 + 5376*b153*b587 + 138*b153*b588 + 2346*b153*b589 + 6624*b153*b590 + 
    106*b153*b591 + 1802*b153*b592 + 5088*b153*b593 + 96*b153*b594 + 1632*b153*
    b595 + 4608*b153*b596 + 148*b153*b597 + 2516*b153*b598 + 7104*b153*b599 + 
    312*b153*b600 + 7020*b153*b601 + 2808*b153*b602 + 4368*b153*b603 + 3744*
    b153*b604 + 3120*b153*b605 + 3042*b153*b606 + 6630*b153*b607 + 6396*b153*
    b608 + 7488*b153*b609 + 3354*b153*b610 + 234*b153*b612 + 4836*b153*b613 + 
    1326*b153*b614 + 4836*b153*b615 + 2808*b153*b616 + 2886*b153*b617 + 4134*
    b153*b619 + 7488*b153*b620 + 6396*b153*b621 + 3744*b153*b622 + 4758*b153*
    b623 + 192*b153*b624 + 3264*b153*b625 + 9216*b153*b626 + 2376*b154*b157 + 
    2376*b154*b158 + 3366*b154*b159 + 3498*b154*b160 + 4620*b154*b161 + 924*
    b154*b162 + 4356*b154*b163 + 3498*b154*b164 + 4752*b154*b165 + 2904*b154*
    b166 + 462*b154*b167 + 6402*b154*b168 + 3366*b154*b170 + 1848*b154*b171 + 
    4092*b154*b172 + 132*b154*b173 + 3234*b154*b174 + 3498*b154*b175 + 1848*
    b154*b177 + 2046*b154*b178 + 72*b154*b179 + 72*b154*b180 + 102*b154*b181 + 
    106*b154*b182 + 140*b154*b183 + 28*b154*b184 + 132*b154*b185 + 106*b154*
    b186 + 144*b154*b187 + 88*b154*b188 + 14*b154*b189 + 194*b154*b190 + 102*
    b154*b192 + 56*b154*b193 + 124*b154*b194 + 4*b154*b195 + 98*b154*b196 + 106
    *b154*b197 + 56*b154*b199 + 62*b154*b200 + 5112*b154*b201 + 5112*b154*b202
     + 7242*b154*b203 + 7526*b154*b204 + 9940*b154*b205 + 1988*b154*b206 + 9372
    *b154*b207 + 7526*b154*b208 + 10224*b154*b209 + 6248*b154*b210 + 994*b154*
    b211 + 13774*b154*b212 + 7242*b154*b214 + 3976*b154*b215 + 8804*b154*b216
     + 284*b154*b217 + 6958*b154*b218 + 7526*b154*b219 + 3976*b154*b221 + 4402*
    b154*b222 + 5184*b154*b223 + 5184*b154*b224 + 7344*b154*b225 + 7632*b154*
    b226 + 10080*b154*b227 + 2016*b154*b228 + 9504*b154*b229 + 7632*b154*b230
     + 10368*b154*b231 + 6336*b154*b232 + 1008*b154*b233 + 13968*b154*b234 + 
    7344*b154*b236 + 4032*b154*b237 + 8928*b154*b238 + 288*b154*b239 + 7056*
    b154*b240 + 7632*b154*b241 + 4032*b154*b243 + 4464*b154*b244 + 1872*b154*
    b245 + 1872*b154*b246 + 2652*b154*b247 + 2756*b154*b248 + 3640*b154*b249 + 
    728*b154*b250 + 3432*b154*b251 + 2756*b154*b252 + 3744*b154*b253 + 2288*
    b154*b254 + 364*b154*b255 + 5044*b154*b256 + 2652*b154*b258 + 1456*b154*
    b259 + 3224*b154*b260 + 104*b154*b261 + 2548*b154*b262 + 2756*b154*b263 + 
    1456*b154*b265 + 1612*b154*b266 + 6192*b154*b267 + 6192*b154*b268 + 8772*
    b154*b269 + 9116*b154*b270 + 12040*b154*b271 + 2408*b154*b272 + 11352*b154*
    b273 + 9116*b154*b274 + 12384*b154*b275 + 7568*b154*b276 + 1204*b154*b277
     + 16684*b154*b278 + 8772*b154*b280 + 4816*b154*b281 + 10664*b154*b282 + 
    344*b154*b283 + 8428*b154*b284 + 9116*b154*b285 + 4816*b154*b287 + 5332*
    b154*b288 + 4824*b154*b289 + 4824*b154*b290 + 6834*b154*b291 + 7102*b154*
    b292 + 9380*b154*b293 + 1876*b154*b294 + 8844*b154*b295 + 7102*b154*b296 + 
    9648*b154*b297 + 5896*b154*b298 + 938*b154*b299 + 12998*b154*b300 + 6834*
    b154*b302 + 3752*b154*b303 + 8308*b154*b304 + 268*b154*b305 + 6566*b154*
    b306 + 7102*b154*b307 + 3752*b154*b309 + 4154*b154*b310 + 4824*b154*b311 + 
    4824*b154*b312 + 6834*b154*b313 + 7102*b154*b314 + 9380*b154*b315 + 1876*
    b154*b316 + 8844*b154*b317 + 7102*b154*b318 + 9648*b154*b319 + 5896*b154*
    b320 + 938*b154*b321 + 12998*b154*b322 + 6834*b154*b324 + 3752*b154*b325 + 
    8308*b154*b326 + 268*b154*b327 + 6566*b154*b328 + 7102*b154*b329 + 3752*
    b154*b331 + 4154*b154*b332 + 1728*b154*b333 + 1728*b154*b334 + 2448*b154*
    b335 + 2544*b154*b336 + 3360*b154*b337 + 672*b154*b338 + 3168*b154*b339 + 
    2544*b154*b340 + 3456*b154*b341 + 2112*b154*b342 + 336*b154*b343 + 4656*
    b154*b344 + 2448*b154*b346 + 1344*b154*b347 + 2976*b154*b348 + 96*b154*b349
     + 2352*b154*b350 + 2544*b154*b351 + 1344*b154*b353 + 1488*b154*b354 + 720*
    b154*b355 + 720*b154*b356 + 1020*b154*b357 + 1060*b154*b358 + 1400*b154*
    b359 + 280*b154*b360 + 1320*b154*b361 + 1060*b154*b362 + 1440*b154*b363 + 
    880*b154*b364 + 140*b154*b365 + 1940*b154*b366 + 1020*b154*b368 + 560*b154*
    b369 + 1240*b154*b370 + 40*b154*b371 + 980*b154*b372 + 1060*b154*b373 + 560
    *b154*b375 + 620*b154*b376 + 3312*b154*b377 + 3312*b154*b378 + 4692*b154*
    b379 + 4876*b154*b380 + 6440*b154*b381 + 1288*b154*b382 + 6072*b154*b383 + 
    4876*b154*b384 + 6624*b154*b385 + 4048*b154*b386 + 644*b154*b387 + 8924*
    b154*b388 + 4692*b154*b390 + 2576*b154*b391 + 5704*b154*b392 + 184*b154*
    b393 + 4508*b154*b394 + 4876*b154*b395 + 2576*b154*b397 + 2852*b154*b398 + 
    4032*b154*b399 + 4032*b154*b400 + 5712*b154*b401 + 5936*b154*b402 + 7840*
    b154*b403 + 1568*b154*b404 + 7392*b154*b405 + 5936*b154*b406 + 8064*b154*
    b407 + 4928*b154*b408 + 784*b154*b409 + 10864*b154*b410 + 5712*b154*b412 + 
    3136*b154*b413 + 6944*b154*b414 + 224*b154*b415 + 5488*b154*b416 + 5936*
    b154*b417 + 3136*b154*b419 + 3472*b154*b420 + 4032*b154*b421 + 4032*b154*
    b422 + 5712*b154*b423 + 5936*b154*b424 + 7840*b154*b425 + 1568*b154*b426 + 
    7392*b154*b427 + 5936*b154*b428 + 8064*b154*b429 + 4928*b154*b430 + 784*
    b154*b431 + 10864*b154*b432 + 5712*b154*b434 + 3136*b154*b435 + 6944*b154*
    b436 + 224*b154*b437 + 5488*b154*b438 + 5936*b154*b439 + 3136*b154*b441 + 
    3472*b154*b442 + 4968*b154*b443 + 4968*b154*b444 + 7038*b154*b445 + 7314*
    b154*b446 + 9660*b154*b447 + 1932*b154*b448 + 9108*b154*b449 + 7314*b154*
    b450 + 9936*b154*b451 + 6072*b154*b452 + 966*b154*b453 + 13386*b154*b454 + 
    7038*b154*b456 + 3864*b154*b457 + 8556*b154*b458 + 276*b154*b459 + 6762*
    b154*b460 + 7314*b154*b461 + 3864*b154*b463 + 4278*b154*b464 + 3816*b154*
    b465 + 3816*b154*b466 + 5406*b154*b467 + 5618*b154*b468 + 7420*b154*b469 + 
    1484*b154*b470 + 6996*b154*b471 + 5618*b154*b472 + 7632*b154*b473 + 4664*
    b154*b474 + 742*b154*b475 + 10282*b154*b476 + 5406*b154*b478 + 2968*b154*
    b479 + 6572*b154*b480 + 212*b154*b481 + 5194*b154*b482 + 5618*b154*b483 + 
    2968*b154*b485 + 3286*b154*b486 + 3456*b154*b487 + 3456*b154*b488 + 4896*
    b154*b489 + 5088*b154*b490 + 6720*b154*b491 + 1344*b154*b492 + 6336*b154*
    b493 + 5088*b154*b494 + 6912*b154*b495 + 4224*b154*b496 + 672*b154*b497 + 
    9312*b154*b498 + 4896*b154*b500 + 2688*b154*b501 + 5952*b154*b502 + 192*
    b154*b503 + 4704*b154*b504 + 5088*b154*b505 + 2688*b154*b507 + 2976*b154*
    b508 + 5328*b154*b509 + 5328*b154*b510 + 7548*b154*b511 + 7844*b154*b512 + 
    10360*b154*b513 + 2072*b154*b514 + 9768*b154*b515 + 7844*b154*b516 + 10656*
    b154*b517 + 6512*b154*b518 + 1036*b154*b519 + 14356*b154*b520 + 7548*b154*
    b522 + 4144*b154*b523 + 9176*b154*b524 + 296*b154*b525 + 7252*b154*b526 + 
    7844*b154*b527 + 4144*b154*b529 + 4588*b154*b530 + 12070*b154*b534 + 10934*
    b154*b535 + 10650*b154*b536 + 10710*b154*b537 + 9702*b154*b538 + 9450*b154*
    b539 + 7480*b154*b540 + 6776*b154*b541 + 6600*b154*b542 + 3740*b154*b543 + 
    3388*b154*b544 + 3300*b154*b545 + 5610*b154*b549 + 5082*b154*b550 + 4950*
    b154*b551 + 170*b154*b552 + 154*b154*b553 + 150*b154*b554 + 12070*b154*b555
     + 10934*b154*b556 + 10650*b154*b557 + 12240*b154*b558 + 11088*b154*b559 + 
    10800*b154*b560 + 4420*b154*b561 + 4004*b154*b562 + 3900*b154*b563 + 14620*
    b154*b564 + 13244*b154*b565 + 12900*b154*b566 + 11390*b154*b567 + 10318*
    b154*b568 + 10050*b154*b569 + 11390*b154*b570 + 10318*b154*b571 + 10050*
    b154*b572 + 4080*b154*b573 + 3696*b154*b574 + 3600*b154*b575 + 1700*b154*
    b576 + 1540*b154*b577 + 1500*b154*b578 + 7820*b154*b579 + 7084*b154*b580 + 
    6900*b154*b581 + 9520*b154*b582 + 8624*b154*b583 + 8400*b154*b584 + 9520*
    b154*b585 + 8624*b154*b586 + 8400*b154*b587 + 11730*b154*b588 + 10626*b154*
    b589 + 10350*b154*b590 + 9010*b154*b591 + 8162*b154*b592 + 7950*b154*b593
     + 8160*b154*b594 + 7392*b154*b595 + 7200*b154*b596 + 12580*b154*b597 + 
    11396*b154*b598 + 11100*b154*b599 + 2808*b154*b600 + 3978*b154*b601 + 4134*
    b154*b602 + 5460*b154*b603 + 1092*b154*b604 + 5148*b154*b605 + 4134*b154*
    b606 + 5616*b154*b607 + 3432*b154*b608 + 546*b154*b609 + 7566*b154*b610 + 
    3978*b154*b612 + 2184*b154*b613 + 6006*b154*b614 + 4836*b154*b615 + 156*
    b154*b616 + 3822*b154*b617 + 4134*b154*b618 + 2184*b154*b620 + 2418*b154*
    b621 + 5850*b154*b622 + 2808*b154*b623 + 16320*b154*b624 + 14784*b154*b625
     + 14400*b154*b626 + 1386*b155*b157 + 1782*b155*b158 + 198*b155*b159 + 2442
    *b155*b160 + 6534*b155*b161 + 5874*b155*b162 + 3828*b155*b163 + 5082*b155*
    b164 + 462*b155*b165 + 2310*b155*b166 + 5742*b155*b167 + 2178*b155*b168 + 
    3168*b155*b169 + 4422*b155*b170 + 5016*b155*b171 + 5478*b155*b172 + 132*
    b155*b173 + 4026*b155*b174 + 6336*b155*b175 + 1848*b155*b176 + 66*b155*b178
     + 42*b155*b179 + 54*b155*b180 + 6*b155*b181 + 74*b155*b182 + 198*b155*b183
     + 178*b155*b184 + 116*b155*b185 + 154*b155*b186 + 14*b155*b187 + 70*b155*
    b188 + 174*b155*b189 + 66*b155*b190 + 96*b155*b191 + 134*b155*b192 + 152*
    b155*b193 + 166*b155*b194 + 4*b155*b195 + 122*b155*b196 + 192*b155*b197 + 
    56*b155*b198 + 2*b155*b200 + 2982*b155*b201 + 3834*b155*b202 + 426*b155*
    b203 + 5254*b155*b204 + 14058*b155*b205 + 12638*b155*b206 + 8236*b155*b207
     + 10934*b155*b208 + 994*b155*b209 + 4970*b155*b210 + 12354*b155*b211 + 
    4686*b155*b212 + 6816*b155*b213 + 9514*b155*b214 + 10792*b155*b215 + 11786*
    b155*b216 + 284*b155*b217 + 8662*b155*b218 + 13632*b155*b219 + 3976*b155*
    b220 + 142*b155*b222 + 3024*b155*b223 + 3888*b155*b224 + 432*b155*b225 + 
    5328*b155*b226 + 14256*b155*b227 + 12816*b155*b228 + 8352*b155*b229 + 11088
    *b155*b230 + 1008*b155*b231 + 5040*b155*b232 + 12528*b155*b233 + 4752*b155*
    b234 + 6912*b155*b235 + 9648*b155*b236 + 10944*b155*b237 + 11952*b155*b238
     + 288*b155*b239 + 8784*b155*b240 + 13824*b155*b241 + 4032*b155*b242 + 144*
    b155*b244 + 1092*b155*b245 + 1404*b155*b246 + 156*b155*b247 + 1924*b155*
    b248 + 5148*b155*b249 + 4628*b155*b250 + 3016*b155*b251 + 4004*b155*b252 + 
    364*b155*b253 + 1820*b155*b254 + 4524*b155*b255 + 1716*b155*b256 + 2496*
    b155*b257 + 3484*b155*b258 + 3952*b155*b259 + 4316*b155*b260 + 104*b155*
    b261 + 3172*b155*b262 + 4992*b155*b263 + 1456*b155*b264 + 52*b155*b266 + 
    3612*b155*b267 + 4644*b155*b268 + 516*b155*b269 + 6364*b155*b270 + 17028*
    b155*b271 + 15308*b155*b272 + 9976*b155*b273 + 13244*b155*b274 + 1204*b155*
    b275 + 6020*b155*b276 + 14964*b155*b277 + 5676*b155*b278 + 8256*b155*b279
     + 11524*b155*b280 + 13072*b155*b281 + 14276*b155*b282 + 344*b155*b283 + 
    10492*b155*b284 + 16512*b155*b285 + 4816*b155*b286 + 172*b155*b288 + 2814*
    b155*b289 + 3618*b155*b290 + 402*b155*b291 + 4958*b155*b292 + 13266*b155*
    b293 + 11926*b155*b294 + 7772*b155*b295 + 10318*b155*b296 + 938*b155*b297
     + 4690*b155*b298 + 11658*b155*b299 + 4422*b155*b300 + 6432*b155*b301 + 
    8978*b155*b302 + 10184*b155*b303 + 11122*b155*b304 + 268*b155*b305 + 8174*
    b155*b306 + 12864*b155*b307 + 3752*b155*b308 + 134*b155*b310 + 2814*b155*
    b311 + 3618*b155*b312 + 402*b155*b313 + 4958*b155*b314 + 13266*b155*b315 + 
    11926*b155*b316 + 7772*b155*b317 + 10318*b155*b318 + 938*b155*b319 + 4690*
    b155*b320 + 11658*b155*b321 + 4422*b155*b322 + 6432*b155*b323 + 8978*b155*
    b324 + 10184*b155*b325 + 11122*b155*b326 + 268*b155*b327 + 8174*b155*b328
     + 12864*b155*b329 + 3752*b155*b330 + 134*b155*b332 + 1008*b155*b333 + 1296
    *b155*b334 + 144*b155*b335 + 1776*b155*b336 + 4752*b155*b337 + 4272*b155*
    b338 + 2784*b155*b339 + 3696*b155*b340 + 336*b155*b341 + 1680*b155*b342 + 
    4176*b155*b343 + 1584*b155*b344 + 2304*b155*b345 + 3216*b155*b346 + 3648*
    b155*b347 + 3984*b155*b348 + 96*b155*b349 + 2928*b155*b350 + 4608*b155*b351
     + 1344*b155*b352 + 48*b155*b354 + 420*b155*b355 + 540*b155*b356 + 60*b155*
    b357 + 740*b155*b358 + 1980*b155*b359 + 1780*b155*b360 + 1160*b155*b361 + 
    1540*b155*b362 + 140*b155*b363 + 700*b155*b364 + 1740*b155*b365 + 660*b155*
    b366 + 960*b155*b367 + 1340*b155*b368 + 1520*b155*b369 + 1660*b155*b370 + 
    40*b155*b371 + 1220*b155*b372 + 1920*b155*b373 + 560*b155*b374 + 20*b155*
    b376 + 1932*b155*b377 + 2484*b155*b378 + 276*b155*b379 + 3404*b155*b380 + 
    9108*b155*b381 + 8188*b155*b382 + 5336*b155*b383 + 7084*b155*b384 + 644*
    b155*b385 + 3220*b155*b386 + 8004*b155*b387 + 3036*b155*b388 + 4416*b155*
    b389 + 6164*b155*b390 + 6992*b155*b391 + 7636*b155*b392 + 184*b155*b393 + 
    5612*b155*b394 + 8832*b155*b395 + 2576*b155*b396 + 92*b155*b398 + 2352*b155
    *b399 + 3024*b155*b400 + 336*b155*b401 + 4144*b155*b402 + 11088*b155*b403
     + 9968*b155*b404 + 6496*b155*b405 + 8624*b155*b406 + 784*b155*b407 + 3920*
    b155*b408 + 9744*b155*b409 + 3696*b155*b410 + 5376*b155*b411 + 7504*b155*
    b412 + 8512*b155*b413 + 9296*b155*b414 + 224*b155*b415 + 6832*b155*b416 + 
    10752*b155*b417 + 3136*b155*b418 + 112*b155*b420 + 2352*b155*b421 + 3024*
    b155*b422 + 336*b155*b423 + 4144*b155*b424 + 11088*b155*b425 + 9968*b155*
    b426 + 6496*b155*b427 + 8624*b155*b428 + 784*b155*b429 + 3920*b155*b430 + 
    9744*b155*b431 + 3696*b155*b432 + 5376*b155*b433 + 7504*b155*b434 + 8512*
    b155*b435 + 9296*b155*b436 + 224*b155*b437 + 6832*b155*b438 + 10752*b155*
    b439 + 3136*b155*b440 + 112*b155*b442 + 2898*b155*b443 + 3726*b155*b444 + 
    414*b155*b445 + 5106*b155*b446 + 13662*b155*b447 + 12282*b155*b448 + 8004*
    b155*b449 + 10626*b155*b450 + 966*b155*b451 + 4830*b155*b452 + 12006*b155*
    b453 + 4554*b155*b454 + 6624*b155*b455 + 9246*b155*b456 + 10488*b155*b457
     + 11454*b155*b458 + 276*b155*b459 + 8418*b155*b460 + 13248*b155*b461 + 
    3864*b155*b462 + 138*b155*b464 + 2226*b155*b465 + 2862*b155*b466 + 318*b155
    *b467 + 3922*b155*b468 + 10494*b155*b469 + 9434*b155*b470 + 6148*b155*b471
     + 8162*b155*b472 + 742*b155*b473 + 3710*b155*b474 + 9222*b155*b475 + 3498*
    b155*b476 + 5088*b155*b477 + 7102*b155*b478 + 8056*b155*b479 + 8798*b155*
    b480 + 212*b155*b481 + 6466*b155*b482 + 10176*b155*b483 + 2968*b155*b484 + 
    106*b155*b486 + 2016*b155*b487 + 2592*b155*b488 + 288*b155*b489 + 3552*b155
    *b490 + 9504*b155*b491 + 8544*b155*b492 + 5568*b155*b493 + 7392*b155*b494
     + 672*b155*b495 + 3360*b155*b496 + 8352*b155*b497 + 3168*b155*b498 + 4608*
    b155*b499 + 6432*b155*b500 + 7296*b155*b501 + 7968*b155*b502 + 192*b155*
    b503 + 5856*b155*b504 + 9216*b155*b505 + 2688*b155*b506 + 96*b155*b508 + 
    3108*b155*b509 + 3996*b155*b510 + 444*b155*b511 + 5476*b155*b512 + 14652*
    b155*b513 + 13172*b155*b514 + 8584*b155*b515 + 11396*b155*b516 + 1036*b155*
    b517 + 5180*b155*b518 + 12876*b155*b519 + 4884*b155*b520 + 7104*b155*b521
     + 9916*b155*b522 + 11248*b155*b523 + 12284*b155*b524 + 296*b155*b525 + 
    9028*b155*b526 + 14208*b155*b527 + 4144*b155*b528 + 148*b155*b530 + 11928*
    b155*b534 + 6248*b155*b535 + 13490*b155*b536 + 10584*b155*b537 + 5544*b155*
    b538 + 11970*b155*b539 + 7392*b155*b540 + 3872*b155*b541 + 8360*b155*b542
     + 3696*b155*b543 + 1936*b155*b544 + 4180*b155*b545 + 5544*b155*b549 + 2904
    *b155*b550 + 6270*b155*b551 + 168*b155*b552 + 88*b155*b553 + 190*b155*b554
     + 11928*b155*b555 + 6248*b155*b556 + 13490*b155*b557 + 12096*b155*b558 + 
    6336*b155*b559 + 13680*b155*b560 + 4368*b155*b561 + 2288*b155*b562 + 4940*
    b155*b563 + 14448*b155*b564 + 7568*b155*b565 + 16340*b155*b566 + 11256*b155
    *b567 + 5896*b155*b568 + 12730*b155*b569 + 11256*b155*b570 + 5896*b155*b571
     + 12730*b155*b572 + 4032*b155*b573 + 2112*b155*b574 + 4560*b155*b575 + 
    1680*b155*b576 + 880*b155*b577 + 1900*b155*b578 + 7728*b155*b579 + 4048*
    b155*b580 + 8740*b155*b581 + 9408*b155*b582 + 4928*b155*b583 + 10640*b155*
    b584 + 9408*b155*b585 + 4928*b155*b586 + 10640*b155*b587 + 11592*b155*b588
     + 6072*b155*b589 + 13110*b155*b590 + 8904*b155*b591 + 4664*b155*b592 + 
    10070*b155*b593 + 8064*b155*b594 + 4224*b155*b595 + 9120*b155*b596 + 12432*
    b155*b597 + 6512*b155*b598 + 14060*b155*b599 + 2106*b155*b600 + 234*b155*
    b601 + 2886*b155*b602 + 7722*b155*b603 + 6942*b155*b604 + 4524*b155*b605 + 
    6006*b155*b606 + 546*b155*b607 + 2730*b155*b608 + 6786*b155*b609 + 2574*
    b155*b610 + 3744*b155*b611 + 5226*b155*b612 + 5928*b155*b613 + 3432*b155*
    b614 + 6474*b155*b615 + 156*b155*b616 + 4758*b155*b617 + 7488*b155*b618 + 
    2184*b155*b619 + 78*b155*b621 + 7410*b155*b622 + 1638*b155*b623 + 16128*
    b155*b624 + 8448*b155*b625 + 18240*b155*b626 + 4686*b156*b157 + 5610*b156*
    b158 + 3168*b156*b159 + 1716*b156*b160 + 3960*b156*b161 + 2904*b156*b162 + 
    1980*b156*b163 + 3300*b156*b164 + 3234*b156*b165 + 198*b156*b166 + 4488*
    b156*b167 + 2310*b156*b168 + 4092*b156*b169 + 2574*b156*b170 + 4356*b156*
    b171 + 6006*b156*b172 + 2838*b156*b173 + 330*b156*b174 + 5412*b156*b175 + 
    2046*b156*b176 + 66*b156*b177 + 142*b156*b179 + 170*b156*b180 + 96*b156*
    b181 + 52*b156*b182 + 120*b156*b183 + 88*b156*b184 + 60*b156*b185 + 100*
    b156*b186 + 98*b156*b187 + 6*b156*b188 + 136*b156*b189 + 70*b156*b190 + 124
    *b156*b191 + 78*b156*b192 + 132*b156*b193 + 182*b156*b194 + 86*b156*b195 + 
    10*b156*b196 + 164*b156*b197 + 62*b156*b198 + 2*b156*b199 + 10082*b156*b201
     + 12070*b156*b202 + 6816*b156*b203 + 3692*b156*b204 + 8520*b156*b205 + 
    6248*b156*b206 + 4260*b156*b207 + 7100*b156*b208 + 6958*b156*b209 + 426*
    b156*b210 + 9656*b156*b211 + 4970*b156*b212 + 8804*b156*b213 + 5538*b156*
    b214 + 9372*b156*b215 + 12922*b156*b216 + 6106*b156*b217 + 710*b156*b218 + 
    11644*b156*b219 + 4402*b156*b220 + 142*b156*b221 + 10224*b156*b223 + 12240*
    b156*b224 + 6912*b156*b225 + 3744*b156*b226 + 8640*b156*b227 + 6336*b156*
    b228 + 4320*b156*b229 + 7200*b156*b230 + 7056*b156*b231 + 432*b156*b232 + 
    9792*b156*b233 + 5040*b156*b234 + 8928*b156*b235 + 5616*b156*b236 + 9504*
    b156*b237 + 13104*b156*b238 + 6192*b156*b239 + 720*b156*b240 + 11808*b156*
    b241 + 4464*b156*b242 + 144*b156*b243 + 3692*b156*b245 + 4420*b156*b246 + 
    2496*b156*b247 + 1352*b156*b248 + 3120*b156*b249 + 2288*b156*b250 + 1560*
    b156*b251 + 2600*b156*b252 + 2548*b156*b253 + 156*b156*b254 + 3536*b156*
    b255 + 1820*b156*b256 + 3224*b156*b257 + 2028*b156*b258 + 3432*b156*b259 + 
    4732*b156*b260 + 2236*b156*b261 + 260*b156*b262 + 4264*b156*b263 + 1612*
    b156*b264 + 52*b156*b265 + 12212*b156*b267 + 14620*b156*b268 + 8256*b156*
    b269 + 4472*b156*b270 + 10320*b156*b271 + 7568*b156*b272 + 5160*b156*b273
     + 8600*b156*b274 + 8428*b156*b275 + 516*b156*b276 + 11696*b156*b277 + 6020
    *b156*b278 + 10664*b156*b279 + 6708*b156*b280 + 11352*b156*b281 + 15652*
    b156*b282 + 7396*b156*b283 + 860*b156*b284 + 14104*b156*b285 + 5332*b156*
    b286 + 172*b156*b287 + 9514*b156*b289 + 11390*b156*b290 + 6432*b156*b291 + 
    3484*b156*b292 + 8040*b156*b293 + 5896*b156*b294 + 4020*b156*b295 + 6700*
    b156*b296 + 6566*b156*b297 + 402*b156*b298 + 9112*b156*b299 + 4690*b156*
    b300 + 8308*b156*b301 + 5226*b156*b302 + 8844*b156*b303 + 12194*b156*b304
     + 5762*b156*b305 + 670*b156*b306 + 10988*b156*b307 + 4154*b156*b308 + 134*
    b156*b309 + 9514*b156*b311 + 11390*b156*b312 + 6432*b156*b313 + 3484*b156*
    b314 + 8040*b156*b315 + 5896*b156*b316 + 4020*b156*b317 + 6700*b156*b318 + 
    6566*b156*b319 + 402*b156*b320 + 9112*b156*b321 + 4690*b156*b322 + 8308*
    b156*b323 + 5226*b156*b324 + 8844*b156*b325 + 12194*b156*b326 + 5762*b156*
    b327 + 670*b156*b328 + 10988*b156*b329 + 4154*b156*b330 + 134*b156*b331 + 
    3408*b156*b333 + 4080*b156*b334 + 2304*b156*b335 + 1248*b156*b336 + 2880*
    b156*b337 + 2112*b156*b338 + 1440*b156*b339 + 2400*b156*b340 + 2352*b156*
    b341 + 144*b156*b342 + 3264*b156*b343 + 1680*b156*b344 + 2976*b156*b345 + 
    1872*b156*b346 + 3168*b156*b347 + 4368*b156*b348 + 2064*b156*b349 + 240*
    b156*b350 + 3936*b156*b351 + 1488*b156*b352 + 48*b156*b353 + 1420*b156*b355
     + 1700*b156*b356 + 960*b156*b357 + 520*b156*b358 + 1200*b156*b359 + 880*
    b156*b360 + 600*b156*b361 + 1000*b156*b362 + 980*b156*b363 + 60*b156*b364
     + 1360*b156*b365 + 700*b156*b366 + 1240*b156*b367 + 780*b156*b368 + 1320*
    b156*b369 + 1820*b156*b370 + 860*b156*b371 + 100*b156*b372 + 1640*b156*b373
     + 620*b156*b374 + 20*b156*b375 + 6532*b156*b377 + 7820*b156*b378 + 4416*
    b156*b379 + 2392*b156*b380 + 5520*b156*b381 + 4048*b156*b382 + 2760*b156*
    b383 + 4600*b156*b384 + 4508*b156*b385 + 276*b156*b386 + 6256*b156*b387 + 
    3220*b156*b388 + 5704*b156*b389 + 3588*b156*b390 + 6072*b156*b391 + 8372*
    b156*b392 + 3956*b156*b393 + 460*b156*b394 + 7544*b156*b395 + 2852*b156*
    b396 + 92*b156*b397 + 7952*b156*b399 + 9520*b156*b400 + 5376*b156*b401 + 
    2912*b156*b402 + 6720*b156*b403 + 4928*b156*b404 + 3360*b156*b405 + 5600*
    b156*b406 + 5488*b156*b407 + 336*b156*b408 + 7616*b156*b409 + 3920*b156*
    b410 + 6944*b156*b411 + 4368*b156*b412 + 7392*b156*b413 + 10192*b156*b414
     + 4816*b156*b415 + 560*b156*b416 + 9184*b156*b417 + 3472*b156*b418 + 112*
    b156*b419 + 7952*b156*b421 + 9520*b156*b422 + 5376*b156*b423 + 2912*b156*
    b424 + 6720*b156*b425 + 4928*b156*b426 + 3360*b156*b427 + 5600*b156*b428 + 
    5488*b156*b429 + 336*b156*b430 + 7616*b156*b431 + 3920*b156*b432 + 6944*
    b156*b433 + 4368*b156*b434 + 7392*b156*b435 + 10192*b156*b436 + 4816*b156*
    b437 + 560*b156*b438 + 9184*b156*b439 + 3472*b156*b440 + 112*b156*b441 + 
    9798*b156*b443 + 11730*b156*b444 + 6624*b156*b445 + 3588*b156*b446 + 8280*
    b156*b447 + 6072*b156*b448 + 4140*b156*b449 + 6900*b156*b450 + 6762*b156*
    b451 + 414*b156*b452 + 9384*b156*b453 + 4830*b156*b454 + 8556*b156*b455 + 
    5382*b156*b456 + 9108*b156*b457 + 12558*b156*b458 + 5934*b156*b459 + 690*
    b156*b460 + 11316*b156*b461 + 4278*b156*b462 + 138*b156*b463 + 7526*b156*
    b465 + 9010*b156*b466 + 5088*b156*b467 + 2756*b156*b468 + 6360*b156*b469 + 
    4664*b156*b470 + 3180*b156*b471 + 5300*b156*b472 + 5194*b156*b473 + 318*
    b156*b474 + 7208*b156*b475 + 3710*b156*b476 + 6572*b156*b477 + 4134*b156*
    b478 + 6996*b156*b479 + 9646*b156*b480 + 4558*b156*b481 + 530*b156*b482 + 
    8692*b156*b483 + 3286*b156*b484 + 106*b156*b485 + 6816*b156*b487 + 8160*
    b156*b488 + 4608*b156*b489 + 2496*b156*b490 + 5760*b156*b491 + 4224*b156*
    b492 + 2880*b156*b493 + 4800*b156*b494 + 4704*b156*b495 + 288*b156*b496 + 
    6528*b156*b497 + 3360*b156*b498 + 5952*b156*b499 + 3744*b156*b500 + 6336*
    b156*b501 + 8736*b156*b502 + 4128*b156*b503 + 480*b156*b504 + 7872*b156*
    b505 + 2976*b156*b506 + 96*b156*b507 + 10508*b156*b509 + 12580*b156*b510 + 
    7104*b156*b511 + 3848*b156*b512 + 8880*b156*b513 + 6512*b156*b514 + 4440*
    b156*b515 + 7400*b156*b516 + 7252*b156*b517 + 444*b156*b518 + 10064*b156*
    b519 + 5180*b156*b520 + 9176*b156*b521 + 5772*b156*b522 + 9768*b156*b523 + 
    13468*b156*b524 + 6364*b156*b525 + 740*b156*b526 + 12136*b156*b527 + 4588*
    b156*b528 + 148*b156*b529 + 1704*b156*b534 + 3692*b156*b535 + 994*b156*b536
     + 1512*b156*b537 + 3276*b156*b538 + 882*b156*b539 + 1056*b156*b540 + 2288*
    b156*b541 + 616*b156*b542 + 528*b156*b543 + 1144*b156*b544 + 308*b156*b545
     + 792*b156*b549 + 1716*b156*b550 + 462*b156*b551 + 24*b156*b552 + 52*b156*
    b553 + 14*b156*b554 + 1704*b156*b555 + 3692*b156*b556 + 994*b156*b557 + 
    1728*b156*b558 + 3744*b156*b559 + 1008*b156*b560 + 624*b156*b561 + 1352*
    b156*b562 + 364*b156*b563 + 2064*b156*b564 + 4472*b156*b565 + 1204*b156*
    b566 + 1608*b156*b567 + 3484*b156*b568 + 938*b156*b569 + 1608*b156*b570 + 
    3484*b156*b571 + 938*b156*b572 + 576*b156*b573 + 1248*b156*b574 + 336*b156*
    b575 + 240*b156*b576 + 520*b156*b577 + 140*b156*b578 + 1104*b156*b579 + 
    2392*b156*b580 + 644*b156*b581 + 1344*b156*b582 + 2912*b156*b583 + 784*b156
    *b584 + 1344*b156*b585 + 2912*b156*b586 + 784*b156*b587 + 1656*b156*b588 + 
    3588*b156*b589 + 966*b156*b590 + 1272*b156*b591 + 2756*b156*b592 + 742*b156
    *b593 + 1152*b156*b594 + 2496*b156*b595 + 672*b156*b596 + 1776*b156*b597 + 
    3848*b156*b598 + 1036*b156*b599 + 6630*b156*b600 + 3744*b156*b601 + 2028*
    b156*b602 + 4680*b156*b603 + 3432*b156*b604 + 2340*b156*b605 + 3900*b156*
    b606 + 3822*b156*b607 + 234*b156*b608 + 5304*b156*b609 + 2730*b156*b610 + 
    4836*b156*b611 + 3042*b156*b612 + 5148*b156*b613 + 2028*b156*b614 + 7098*
    b156*b615 + 3354*b156*b616 + 390*b156*b617 + 6396*b156*b618 + 2418*b156*
    b619 + 78*b156*b620 + 546*b156*b622 + 5538*b156*b623 + 2304*b156*b624 + 
    4992*b156*b625 + 1344*b156*b626 + 2236*b157*b180 + 7826*b157*b181 + 946*
    b157*b182 + 3010*b157*b183 + 7052*b157*b184 + 2236*b157*b185 + 5934*b157*
    b186 + 4816*b157*b187 + 7396*b157*b188 + 3870*b157*b189 + 7826*b157*b190 + 
    5074*b157*b191 + 1548*b157*b192 + 6536*b157*b193 + 1548*b157*b194 + 4902*
    b157*b195 + 3096*b157*b196 + 5246*b157*b197 + 3096*b157*b198 + 1806*b157*
    b199 + 6106*b157*b200 + 4888*b157*b202 + 17108*b157*b203 + 2068*b157*b204
     + 6580*b157*b205 + 15416*b157*b206 + 4888*b157*b207 + 12972*b157*b208 + 
    10528*b157*b209 + 16168*b157*b210 + 8460*b157*b211 + 17108*b157*b212 + 
    11092*b157*b213 + 3384*b157*b214 + 14288*b157*b215 + 3384*b157*b216 + 10716
    *b157*b217 + 6768*b157*b218 + 11468*b157*b219 + 6768*b157*b220 + 3948*b157*
    b221 + 13348*b157*b222 + 1508*b157*b224 + 5278*b157*b225 + 638*b157*b226 + 
    2030*b157*b227 + 4756*b157*b228 + 1508*b157*b229 + 4002*b157*b230 + 3248*
    b157*b231 + 4988*b157*b232 + 2610*b157*b233 + 5278*b157*b234 + 3422*b157*
    b235 + 1044*b157*b236 + 4408*b157*b237 + 1044*b157*b238 + 3306*b157*b239 + 
    2088*b157*b240 + 3538*b157*b241 + 2088*b157*b242 + 1218*b157*b243 + 4118*
    b157*b244 + 3328*b157*b246 + 11648*b157*b247 + 1408*b157*b248 + 4480*b157*
    b249 + 10496*b157*b250 + 3328*b157*b251 + 8832*b157*b252 + 7168*b157*b253
     + 11008*b157*b254 + 5760*b157*b255 + 11648*b157*b256 + 7552*b157*b257 + 
    2304*b157*b258 + 9728*b157*b259 + 2304*b157*b260 + 7296*b157*b261 + 4608*
    b157*b262 + 7808*b157*b263 + 4608*b157*b264 + 2688*b157*b265 + 9088*b157*
    b266 + 5044*b157*b268 + 17654*b157*b269 + 2134*b157*b270 + 6790*b157*b271
     + 15908*b157*b272 + 5044*b157*b273 + 13386*b157*b274 + 10864*b157*b275 + 
    16684*b157*b276 + 8730*b157*b277 + 17654*b157*b278 + 11446*b157*b279 + 3492
    *b157*b280 + 14744*b157*b281 + 3492*b157*b282 + 11058*b157*b283 + 6984*b157
    *b284 + 11834*b157*b285 + 6984*b157*b286 + 4074*b157*b287 + 13774*b157*b288
     + 1976*b157*b290 + 6916*b157*b291 + 836*b157*b292 + 2660*b157*b293 + 6232*
    b157*b294 + 1976*b157*b295 + 5244*b157*b296 + 4256*b157*b297 + 6536*b157*
    b298 + 3420*b157*b299 + 6916*b157*b300 + 4484*b157*b301 + 1368*b157*b302 + 
    5776*b157*b303 + 1368*b157*b304 + 4332*b157*b305 + 2736*b157*b306 + 4636*
    b157*b307 + 2736*b157*b308 + 1596*b157*b309 + 5396*b157*b310 + 624*b157*
    b312 + 2184*b157*b313 + 264*b157*b314 + 840*b157*b315 + 1968*b157*b316 + 
    624*b157*b317 + 1656*b157*b318 + 1344*b157*b319 + 2064*b157*b320 + 1080*
    b157*b321 + 2184*b157*b322 + 1416*b157*b323 + 432*b157*b324 + 1824*b157*
    b325 + 432*b157*b326 + 1368*b157*b327 + 864*b157*b328 + 1464*b157*b329 + 
    864*b157*b330 + 504*b157*b331 + 1704*b157*b332 + 5148*b157*b334 + 18018*
    b157*b335 + 2178*b157*b336 + 6930*b157*b337 + 16236*b157*b338 + 5148*b157*
    b339 + 13662*b157*b340 + 11088*b157*b341 + 17028*b157*b342 + 8910*b157*b343
     + 18018*b157*b344 + 11682*b157*b345 + 3564*b157*b346 + 15048*b157*b347 + 
    3564*b157*b348 + 11286*b157*b349 + 7128*b157*b350 + 12078*b157*b351 + 7128*
    b157*b352 + 4158*b157*b353 + 14058*b157*b354 + 2652*b157*b356 + 9282*b157*
    b357 + 1122*b157*b358 + 3570*b157*b359 + 8364*b157*b360 + 2652*b157*b361 + 
    7038*b157*b362 + 5712*b157*b363 + 8772*b157*b364 + 4590*b157*b365 + 9282*
    b157*b366 + 6018*b157*b367 + 1836*b157*b368 + 7752*b157*b369 + 1836*b157*
    b370 + 5814*b157*b371 + 3672*b157*b372 + 6222*b157*b373 + 3672*b157*b374 + 
    2142*b157*b375 + 7242*b157*b376 + 4524*b157*b378 + 15834*b157*b379 + 1914*
    b157*b380 + 6090*b157*b381 + 14268*b157*b382 + 4524*b157*b383 + 12006*b157*
    b384 + 9744*b157*b385 + 14964*b157*b386 + 7830*b157*b387 + 15834*b157*b388
     + 10266*b157*b389 + 3132*b157*b390 + 13224*b157*b391 + 3132*b157*b392 + 
    9918*b157*b393 + 6264*b157*b394 + 10614*b157*b395 + 6264*b157*b396 + 3654*
    b157*b397 + 12354*b157*b398 + 3952*b157*b400 + 13832*b157*b401 + 1672*b157*
    b402 + 5320*b157*b403 + 12464*b157*b404 + 3952*b157*b405 + 10488*b157*b406
     + 8512*b157*b407 + 13072*b157*b408 + 6840*b157*b409 + 13832*b157*b410 + 
    8968*b157*b411 + 2736*b157*b412 + 11552*b157*b413 + 2736*b157*b414 + 8664*
    b157*b415 + 5472*b157*b416 + 9272*b157*b417 + 5472*b157*b418 + 3192*b157*
    b419 + 10792*b157*b420 + 3692*b157*b422 + 12922*b157*b423 + 1562*b157*b424
     + 4970*b157*b425 + 11644*b157*b426 + 3692*b157*b427 + 9798*b157*b428 + 
    7952*b157*b429 + 12212*b157*b430 + 6390*b157*b431 + 12922*b157*b432 + 8378*
    b157*b433 + 2556*b157*b434 + 10792*b157*b435 + 2556*b157*b436 + 8094*b157*
    b437 + 5112*b157*b438 + 8662*b157*b439 + 5112*b157*b440 + 2982*b157*b441 + 
    10082*b157*b442 + 2444*b157*b444 + 8554*b157*b445 + 1034*b157*b446 + 3290*
    b157*b447 + 7708*b157*b448 + 2444*b157*b449 + 6486*b157*b450 + 5264*b157*
    b451 + 8084*b157*b452 + 4230*b157*b453 + 8554*b157*b454 + 5546*b157*b455 + 
    1692*b157*b456 + 7144*b157*b457 + 1692*b157*b458 + 5358*b157*b459 + 3384*
    b157*b460 + 5734*b157*b461 + 3384*b157*b462 + 1974*b157*b463 + 6674*b157*
    b464 + 2444*b157*b466 + 8554*b157*b467 + 1034*b157*b468 + 3290*b157*b469 + 
    7708*b157*b470 + 2444*b157*b471 + 6486*b157*b472 + 5264*b157*b473 + 8084*
    b157*b474 + 4230*b157*b475 + 8554*b157*b476 + 5546*b157*b477 + 1692*b157*
    b478 + 7144*b157*b479 + 1692*b157*b480 + 5358*b157*b481 + 3384*b157*b482 + 
    5734*b157*b483 + 3384*b157*b484 + 1974*b157*b485 + 6674*b157*b486 + 468*
    b157*b488 + 1638*b157*b489 + 198*b157*b490 + 630*b157*b491 + 1476*b157*b492
     + 468*b157*b493 + 1242*b157*b494 + 1008*b157*b495 + 1548*b157*b496 + 810*
    b157*b497 + 1638*b157*b498 + 1062*b157*b499 + 324*b157*b500 + 1368*b157*
    b501 + 324*b157*b502 + 1026*b157*b503 + 648*b157*b504 + 1098*b157*b505 + 
    648*b157*b506 + 378*b157*b507 + 1278*b157*b508 + 3692*b157*b510 + 12922*
    b157*b511 + 1562*b157*b512 + 4970*b157*b513 + 11644*b157*b514 + 3692*b157*
    b515 + 9798*b157*b516 + 7952*b157*b517 + 12212*b157*b518 + 6390*b157*b519
     + 12922*b157*b520 + 8378*b157*b521 + 2556*b157*b522 + 10792*b157*b523 + 
    2556*b157*b524 + 8094*b157*b525 + 5112*b157*b526 + 8662*b157*b527 + 5112*
    b157*b528 + 2982*b157*b529 + 10082*b157*b530 + 840*b157*b531 + 1560*b157*
    b532 + 440*b157*b533 + 2982*b157*b534 + 5538*b157*b535 + 1562*b157*b536 + 
    2940*b157*b537 + 5460*b157*b538 + 1540*b157*b539 + 1344*b157*b540 + 2496*
    b157*b541 + 704*b157*b542 + 2982*b157*b543 + 5538*b157*b544 + 1562*b157*
    b545 + 1386*b157*b546 + 2574*b157*b547 + 726*b157*b548 + 1806*b157*b552 + 
    3354*b157*b553 + 946*b157*b554 + 3948*b157*b555 + 7332*b157*b556 + 2068*
    b157*b557 + 1218*b157*b558 + 2262*b157*b559 + 638*b157*b560 + 2688*b157*
    b561 + 4992*b157*b562 + 1408*b157*b563 + 4074*b157*b564 + 7566*b157*b565 + 
    2134*b157*b566 + 1596*b157*b567 + 2964*b157*b568 + 836*b157*b569 + 504*b157
    *b570 + 936*b157*b571 + 264*b157*b572 + 4158*b157*b573 + 7722*b157*b574 + 
    2178*b157*b575 + 2142*b157*b576 + 3978*b157*b577 + 1122*b157*b578 + 3654*
    b157*b579 + 6786*b157*b580 + 1914*b157*b581 + 3192*b157*b582 + 5928*b157*
    b583 + 1672*b157*b584 + 2982*b157*b585 + 5538*b157*b586 + 1562*b157*b587 + 
    1974*b157*b588 + 3666*b157*b589 + 1034*b157*b590 + 1974*b157*b591 + 3666*
    b157*b592 + 1034*b157*b593 + 378*b157*b594 + 702*b157*b595 + 198*b157*b596
     + 2982*b157*b597 + 5538*b157*b598 + 1562*b157*b599 + 2600*b157*b600 + 9100
    *b157*b601 + 1100*b157*b602 + 3500*b157*b603 + 8200*b157*b604 + 2600*b157*
    b605 + 6900*b157*b606 + 5600*b157*b607 + 8600*b157*b608 + 4500*b157*b609 + 
    9100*b157*b610 + 5900*b157*b611 + 1800*b157*b612 + 7600*b157*b613 + 3900*
    b157*b614 + 1800*b157*b615 + 5700*b157*b616 + 3600*b157*b617 + 6100*b157*
    b618 + 3600*b157*b619 + 2100*b157*b620 + 7100*b157*b621 + 1100*b157*b622 + 
    2940*b157*b624 + 5460*b157*b625 + 1540*b157*b626 + 2236*b158*b179 + 2494*
    b158*b181 + 7052*b158*b182 + 7052*b158*b183 + 516*b158*b184 + 6106*b158*
    b185 + 688*b158*b186 + 6622*b158*b187 + 6364*b158*b188 + 2580*b158*b189 + 
    7654*b158*b190 + 6536*b158*b191 + 6536*b158*b192 + 3440*b158*b193 + 4816*
    b158*b194 + 86*b158*b195 + 4300*b158*b196 + 344*b158*b197 + 3096*b158*b198
     + 2322*b158*b199 + 7310*b158*b200 + 4888*b158*b201 + 5452*b158*b203 + 
    15416*b158*b204 + 15416*b158*b205 + 1128*b158*b206 + 13348*b158*b207 + 1504
    *b158*b208 + 14476*b158*b209 + 13912*b158*b210 + 5640*b158*b211 + 16732*
    b158*b212 + 14288*b158*b213 + 14288*b158*b214 + 7520*b158*b215 + 10528*b158
    *b216 + 188*b158*b217 + 9400*b158*b218 + 752*b158*b219 + 6768*b158*b220 + 
    5076*b158*b221 + 15980*b158*b222 + 1508*b158*b223 + 1682*b158*b225 + 4756*
    b158*b226 + 4756*b158*b227 + 348*b158*b228 + 4118*b158*b229 + 464*b158*b230
     + 4466*b158*b231 + 4292*b158*b232 + 1740*b158*b233 + 5162*b158*b234 + 4408
    *b158*b235 + 4408*b158*b236 + 2320*b158*b237 + 3248*b158*b238 + 58*b158*
    b239 + 2900*b158*b240 + 232*b158*b241 + 2088*b158*b242 + 1566*b158*b243 + 
    4930*b158*b244 + 3328*b158*b245 + 3712*b158*b247 + 10496*b158*b248 + 10496*
    b158*b249 + 768*b158*b250 + 9088*b158*b251 + 1024*b158*b252 + 9856*b158*
    b253 + 9472*b158*b254 + 3840*b158*b255 + 11392*b158*b256 + 9728*b158*b257
     + 9728*b158*b258 + 5120*b158*b259 + 7168*b158*b260 + 128*b158*b261 + 6400*
    b158*b262 + 512*b158*b263 + 4608*b158*b264 + 3456*b158*b265 + 10880*b158*
    b266 + 5044*b158*b267 + 5626*b158*b269 + 15908*b158*b270 + 15908*b158*b271
     + 1164*b158*b272 + 13774*b158*b273 + 1552*b158*b274 + 14938*b158*b275 + 
    14356*b158*b276 + 5820*b158*b277 + 17266*b158*b278 + 14744*b158*b279 + 
    14744*b158*b280 + 7760*b158*b281 + 10864*b158*b282 + 194*b158*b283 + 9700*
    b158*b284 + 776*b158*b285 + 6984*b158*b286 + 5238*b158*b287 + 16490*b158*
    b288 + 1976*b158*b289 + 2204*b158*b291 + 6232*b158*b292 + 6232*b158*b293 + 
    456*b158*b294 + 5396*b158*b295 + 608*b158*b296 + 5852*b158*b297 + 5624*b158
    *b298 + 2280*b158*b299 + 6764*b158*b300 + 5776*b158*b301 + 5776*b158*b302
     + 3040*b158*b303 + 4256*b158*b304 + 76*b158*b305 + 3800*b158*b306 + 304*
    b158*b307 + 2736*b158*b308 + 2052*b158*b309 + 6460*b158*b310 + 624*b158*
    b311 + 696*b158*b313 + 1968*b158*b314 + 1968*b158*b315 + 144*b158*b316 + 
    1704*b158*b317 + 192*b158*b318 + 1848*b158*b319 + 1776*b158*b320 + 720*b158
    *b321 + 2136*b158*b322 + 1824*b158*b323 + 1824*b158*b324 + 960*b158*b325 + 
    1344*b158*b326 + 24*b158*b327 + 1200*b158*b328 + 96*b158*b329 + 864*b158*
    b330 + 648*b158*b331 + 2040*b158*b332 + 5148*b158*b333 + 5742*b158*b335 + 
    16236*b158*b336 + 16236*b158*b337 + 1188*b158*b338 + 14058*b158*b339 + 1584
    *b158*b340 + 15246*b158*b341 + 14652*b158*b342 + 5940*b158*b343 + 17622*
    b158*b344 + 15048*b158*b345 + 15048*b158*b346 + 7920*b158*b347 + 11088*b158
    *b348 + 198*b158*b349 + 9900*b158*b350 + 792*b158*b351 + 7128*b158*b352 + 
    5346*b158*b353 + 16830*b158*b354 + 2652*b158*b355 + 2958*b158*b357 + 8364*
    b158*b358 + 8364*b158*b359 + 612*b158*b360 + 7242*b158*b361 + 816*b158*b362
     + 7854*b158*b363 + 7548*b158*b364 + 3060*b158*b365 + 9078*b158*b366 + 7752
    *b158*b367 + 7752*b158*b368 + 4080*b158*b369 + 5712*b158*b370 + 102*b158*
    b371 + 5100*b158*b372 + 408*b158*b373 + 3672*b158*b374 + 2754*b158*b375 + 
    8670*b158*b376 + 4524*b158*b377 + 5046*b158*b379 + 14268*b158*b380 + 14268*
    b158*b381 + 1044*b158*b382 + 12354*b158*b383 + 1392*b158*b384 + 13398*b158*
    b385 + 12876*b158*b386 + 5220*b158*b387 + 15486*b158*b388 + 13224*b158*b389
     + 13224*b158*b390 + 6960*b158*b391 + 9744*b158*b392 + 174*b158*b393 + 8700
    *b158*b394 + 696*b158*b395 + 6264*b158*b396 + 4698*b158*b397 + 14790*b158*
    b398 + 3952*b158*b399 + 4408*b158*b401 + 12464*b158*b402 + 12464*b158*b403
     + 912*b158*b404 + 10792*b158*b405 + 1216*b158*b406 + 11704*b158*b407 + 
    11248*b158*b408 + 4560*b158*b409 + 13528*b158*b410 + 11552*b158*b411 + 
    11552*b158*b412 + 6080*b158*b413 + 8512*b158*b414 + 152*b158*b415 + 7600*
    b158*b416 + 608*b158*b417 + 5472*b158*b418 + 4104*b158*b419 + 12920*b158*
    b420 + 3692*b158*b421 + 4118*b158*b423 + 11644*b158*b424 + 11644*b158*b425
     + 852*b158*b426 + 10082*b158*b427 + 1136*b158*b428 + 10934*b158*b429 + 
    10508*b158*b430 + 4260*b158*b431 + 12638*b158*b432 + 10792*b158*b433 + 
    10792*b158*b434 + 5680*b158*b435 + 7952*b158*b436 + 142*b158*b437 + 7100*
    b158*b438 + 568*b158*b439 + 5112*b158*b440 + 3834*b158*b441 + 12070*b158*
    b442 + 2444*b158*b443 + 2726*b158*b445 + 7708*b158*b446 + 7708*b158*b447 + 
    564*b158*b448 + 6674*b158*b449 + 752*b158*b450 + 7238*b158*b451 + 6956*b158
    *b452 + 2820*b158*b453 + 8366*b158*b454 + 7144*b158*b455 + 7144*b158*b456
     + 3760*b158*b457 + 5264*b158*b458 + 94*b158*b459 + 4700*b158*b460 + 376*
    b158*b461 + 3384*b158*b462 + 2538*b158*b463 + 7990*b158*b464 + 2444*b158*
    b465 + 2726*b158*b467 + 7708*b158*b468 + 7708*b158*b469 + 564*b158*b470 + 
    6674*b158*b471 + 752*b158*b472 + 7238*b158*b473 + 6956*b158*b474 + 2820*
    b158*b475 + 8366*b158*b476 + 7144*b158*b477 + 7144*b158*b478 + 3760*b158*
    b479 + 5264*b158*b480 + 94*b158*b481 + 4700*b158*b482 + 376*b158*b483 + 
    3384*b158*b484 + 2538*b158*b485 + 7990*b158*b486 + 468*b158*b487 + 522*b158
    *b489 + 1476*b158*b490 + 1476*b158*b491 + 108*b158*b492 + 1278*b158*b493 + 
    144*b158*b494 + 1386*b158*b495 + 1332*b158*b496 + 540*b158*b497 + 1602*b158
    *b498 + 1368*b158*b499 + 1368*b158*b500 + 720*b158*b501 + 1008*b158*b502 + 
    18*b158*b503 + 900*b158*b504 + 72*b158*b505 + 648*b158*b506 + 486*b158*b507
     + 1530*b158*b508 + 3692*b158*b509 + 4118*b158*b511 + 11644*b158*b512 + 
    11644*b158*b513 + 852*b158*b514 + 10082*b158*b515 + 1136*b158*b516 + 10934*
    b158*b517 + 10508*b158*b518 + 4260*b158*b519 + 12638*b158*b520 + 10792*b158
    *b521 + 10792*b158*b522 + 5680*b158*b523 + 7952*b158*b524 + 142*b158*b525
     + 7100*b158*b526 + 568*b158*b527 + 5112*b158*b528 + 3834*b158*b529 + 12070
    *b158*b530 + 3800*b158*b531 + 3720*b158*b532 + 80*b158*b533 + 13490*b158*
    b534 + 13206*b158*b535 + 284*b158*b536 + 13300*b158*b537 + 13020*b158*b538
     + 280*b158*b539 + 6080*b158*b540 + 5952*b158*b541 + 128*b158*b542 + 13490*
    b158*b543 + 13206*b158*b544 + 284*b158*b545 + 6270*b158*b546 + 6138*b158*
    b547 + 132*b158*b548 + 8170*b158*b552 + 7998*b158*b553 + 172*b158*b554 + 
    17860*b158*b555 + 17484*b158*b556 + 376*b158*b557 + 5510*b158*b558 + 5394*
    b158*b559 + 116*b158*b560 + 12160*b158*b561 + 11904*b158*b562 + 256*b158*
    b563 + 18430*b158*b564 + 18042*b158*b565 + 388*b158*b566 + 7220*b158*b567
     + 7068*b158*b568 + 152*b158*b569 + 2280*b158*b570 + 2232*b158*b571 + 48*
    b158*b572 + 18810*b158*b573 + 18414*b158*b574 + 396*b158*b575 + 9690*b158*
    b576 + 9486*b158*b577 + 204*b158*b578 + 16530*b158*b579 + 16182*b158*b580
     + 348*b158*b581 + 14440*b158*b582 + 14136*b158*b583 + 304*b158*b584 + 
    13490*b158*b585 + 13206*b158*b586 + 284*b158*b587 + 8930*b158*b588 + 8742*
    b158*b589 + 188*b158*b590 + 8930*b158*b591 + 8742*b158*b592 + 188*b158*b593
     + 1710*b158*b594 + 1674*b158*b595 + 36*b158*b596 + 13490*b158*b597 + 13206
    *b158*b598 + 284*b158*b599 + 2900*b158*b601 + 8200*b158*b602 + 8200*b158*
    b603 + 600*b158*b604 + 7100*b158*b605 + 800*b158*b606 + 7700*b158*b607 + 
    7400*b158*b608 + 3000*b158*b609 + 8900*b158*b610 + 7600*b158*b611 + 7600*
    b158*b612 + 4000*b158*b613 + 9300*b158*b614 + 5600*b158*b615 + 100*b158*
    b616 + 5000*b158*b617 + 400*b158*b618 + 3600*b158*b619 + 2700*b158*b620 + 
    8500*b158*b621 + 200*b158*b622 + 2600*b158*b623 + 13300*b158*b624 + 13020*
    b158*b625 + 280*b158*b626 + 7826*b159*b179 + 2494*b159*b180 + 86*b159*b182
     + 1290*b159*b183 + 946*b159*b184 + 3010*b159*b185 + 946*b159*b186 + 1720*
    b159*b187 + 1806*b159*b188 + 5246*b159*b189 + 6880*b159*b190 + 4988*b159*
    b191 + 1806*b159*b192 + 6536*b159*b193 + 3784*b159*b194 + 7310*b159*b195 + 
    8084*b159*b196 + 7740*b159*b197 + 4386*b159*b198 + 258*b159*b199 + 4128*
    b159*b200 + 17108*b159*b201 + 5452*b159*b202 + 188*b159*b204 + 2820*b159*
    b205 + 2068*b159*b206 + 6580*b159*b207 + 2068*b159*b208 + 3760*b159*b209 + 
    3948*b159*b210 + 11468*b159*b211 + 15040*b159*b212 + 10904*b159*b213 + 3948
    *b159*b214 + 14288*b159*b215 + 8272*b159*b216 + 15980*b159*b217 + 17672*
    b159*b218 + 16920*b159*b219 + 9588*b159*b220 + 564*b159*b221 + 9024*b159*
    b222 + 5278*b159*b223 + 1682*b159*b224 + 58*b159*b226 + 870*b159*b227 + 638
    *b159*b228 + 2030*b159*b229 + 638*b159*b230 + 1160*b159*b231 + 1218*b159*
    b232 + 3538*b159*b233 + 4640*b159*b234 + 3364*b159*b235 + 1218*b159*b236 + 
    4408*b159*b237 + 2552*b159*b238 + 4930*b159*b239 + 5452*b159*b240 + 5220*
    b159*b241 + 2958*b159*b242 + 174*b159*b243 + 2784*b159*b244 + 11648*b159*
    b245 + 3712*b159*b246 + 128*b159*b248 + 1920*b159*b249 + 1408*b159*b250 + 
    4480*b159*b251 + 1408*b159*b252 + 2560*b159*b253 + 2688*b159*b254 + 7808*
    b159*b255 + 10240*b159*b256 + 7424*b159*b257 + 2688*b159*b258 + 9728*b159*
    b259 + 5632*b159*b260 + 10880*b159*b261 + 12032*b159*b262 + 11520*b159*b263
     + 6528*b159*b264 + 384*b159*b265 + 6144*b159*b266 + 17654*b159*b267 + 5626
    *b159*b268 + 194*b159*b270 + 2910*b159*b271 + 2134*b159*b272 + 6790*b159*
    b273 + 2134*b159*b274 + 3880*b159*b275 + 4074*b159*b276 + 11834*b159*b277
     + 15520*b159*b278 + 11252*b159*b279 + 4074*b159*b280 + 14744*b159*b281 + 
    8536*b159*b282 + 16490*b159*b283 + 18236*b159*b284 + 17460*b159*b285 + 9894
    *b159*b286 + 582*b159*b287 + 9312*b159*b288 + 6916*b159*b289 + 2204*b159*
    b290 + 76*b159*b292 + 1140*b159*b293 + 836*b159*b294 + 2660*b159*b295 + 836
    *b159*b296 + 1520*b159*b297 + 1596*b159*b298 + 4636*b159*b299 + 6080*b159*
    b300 + 4408*b159*b301 + 1596*b159*b302 + 5776*b159*b303 + 3344*b159*b304 + 
    6460*b159*b305 + 7144*b159*b306 + 6840*b159*b307 + 3876*b159*b308 + 228*
    b159*b309 + 3648*b159*b310 + 2184*b159*b311 + 696*b159*b312 + 24*b159*b314
     + 360*b159*b315 + 264*b159*b316 + 840*b159*b317 + 264*b159*b318 + 480*b159
    *b319 + 504*b159*b320 + 1464*b159*b321 + 1920*b159*b322 + 1392*b159*b323 + 
    504*b159*b324 + 1824*b159*b325 + 1056*b159*b326 + 2040*b159*b327 + 2256*
    b159*b328 + 2160*b159*b329 + 1224*b159*b330 + 72*b159*b331 + 1152*b159*b332
     + 18018*b159*b333 + 5742*b159*b334 + 198*b159*b336 + 2970*b159*b337 + 2178
    *b159*b338 + 6930*b159*b339 + 2178*b159*b340 + 3960*b159*b341 + 4158*b159*
    b342 + 12078*b159*b343 + 15840*b159*b344 + 11484*b159*b345 + 4158*b159*b346
     + 15048*b159*b347 + 8712*b159*b348 + 16830*b159*b349 + 18612*b159*b350 + 
    17820*b159*b351 + 10098*b159*b352 + 594*b159*b353 + 9504*b159*b354 + 9282*
    b159*b355 + 2958*b159*b356 + 102*b159*b358 + 1530*b159*b359 + 1122*b159*
    b360 + 3570*b159*b361 + 1122*b159*b362 + 2040*b159*b363 + 2142*b159*b364 + 
    6222*b159*b365 + 8160*b159*b366 + 5916*b159*b367 + 2142*b159*b368 + 7752*
    b159*b369 + 4488*b159*b370 + 8670*b159*b371 + 9588*b159*b372 + 9180*b159*
    b373 + 5202*b159*b374 + 306*b159*b375 + 4896*b159*b376 + 15834*b159*b377 + 
    5046*b159*b378 + 174*b159*b380 + 2610*b159*b381 + 1914*b159*b382 + 6090*
    b159*b383 + 1914*b159*b384 + 3480*b159*b385 + 3654*b159*b386 + 10614*b159*
    b387 + 13920*b159*b388 + 10092*b159*b389 + 3654*b159*b390 + 13224*b159*b391
     + 7656*b159*b392 + 14790*b159*b393 + 16356*b159*b394 + 15660*b159*b395 + 
    8874*b159*b396 + 522*b159*b397 + 8352*b159*b398 + 13832*b159*b399 + 4408*
    b159*b400 + 152*b159*b402 + 2280*b159*b403 + 1672*b159*b404 + 5320*b159*
    b405 + 1672*b159*b406 + 3040*b159*b407 + 3192*b159*b408 + 9272*b159*b409 + 
    12160*b159*b410 + 8816*b159*b411 + 3192*b159*b412 + 11552*b159*b413 + 6688*
    b159*b414 + 12920*b159*b415 + 14288*b159*b416 + 13680*b159*b417 + 7752*b159
    *b418 + 456*b159*b419 + 7296*b159*b420 + 12922*b159*b421 + 4118*b159*b422
     + 142*b159*b424 + 2130*b159*b425 + 1562*b159*b426 + 4970*b159*b427 + 1562*
    b159*b428 + 2840*b159*b429 + 2982*b159*b430 + 8662*b159*b431 + 11360*b159*
    b432 + 8236*b159*b433 + 2982*b159*b434 + 10792*b159*b435 + 6248*b159*b436
     + 12070*b159*b437 + 13348*b159*b438 + 12780*b159*b439 + 7242*b159*b440 + 
    426*b159*b441 + 6816*b159*b442 + 8554*b159*b443 + 2726*b159*b444 + 94*b159*
    b446 + 1410*b159*b447 + 1034*b159*b448 + 3290*b159*b449 + 1034*b159*b450 + 
    1880*b159*b451 + 1974*b159*b452 + 5734*b159*b453 + 7520*b159*b454 + 5452*
    b159*b455 + 1974*b159*b456 + 7144*b159*b457 + 4136*b159*b458 + 7990*b159*
    b459 + 8836*b159*b460 + 8460*b159*b461 + 4794*b159*b462 + 282*b159*b463 + 
    4512*b159*b464 + 8554*b159*b465 + 2726*b159*b466 + 94*b159*b468 + 1410*b159
    *b469 + 1034*b159*b470 + 3290*b159*b471 + 1034*b159*b472 + 1880*b159*b473
     + 1974*b159*b474 + 5734*b159*b475 + 7520*b159*b476 + 5452*b159*b477 + 1974
    *b159*b478 + 7144*b159*b479 + 4136*b159*b480 + 7990*b159*b481 + 8836*b159*
    b482 + 8460*b159*b483 + 4794*b159*b484 + 282*b159*b485 + 4512*b159*b486 + 
    1638*b159*b487 + 522*b159*b488 + 18*b159*b490 + 270*b159*b491 + 198*b159*
    b492 + 630*b159*b493 + 198*b159*b494 + 360*b159*b495 + 378*b159*b496 + 1098
    *b159*b497 + 1440*b159*b498 + 1044*b159*b499 + 378*b159*b500 + 1368*b159*
    b501 + 792*b159*b502 + 1530*b159*b503 + 1692*b159*b504 + 1620*b159*b505 + 
    918*b159*b506 + 54*b159*b507 + 864*b159*b508 + 12922*b159*b509 + 4118*b159*
    b510 + 142*b159*b512 + 2130*b159*b513 + 1562*b159*b514 + 4970*b159*b515 + 
    1562*b159*b516 + 2840*b159*b517 + 2982*b159*b518 + 8662*b159*b519 + 11360*
    b159*b520 + 8236*b159*b521 + 2982*b159*b522 + 10792*b159*b523 + 6248*b159*
    b524 + 12070*b159*b525 + 13348*b159*b526 + 12780*b159*b527 + 7242*b159*b528
     + 426*b159*b529 + 6816*b159*b530 + 3280*b159*b531 + 2880*b159*b532 + 1160*
    b159*b533 + 11644*b159*b534 + 10224*b159*b535 + 4118*b159*b536 + 11480*b159
    *b537 + 10080*b159*b538 + 4060*b159*b539 + 5248*b159*b540 + 4608*b159*b541
     + 1856*b159*b542 + 11644*b159*b543 + 10224*b159*b544 + 4118*b159*b545 + 
    5412*b159*b546 + 4752*b159*b547 + 1914*b159*b548 + 7052*b159*b552 + 6192*
    b159*b553 + 2494*b159*b554 + 15416*b159*b555 + 13536*b159*b556 + 5452*b159*
    b557 + 4756*b159*b558 + 4176*b159*b559 + 1682*b159*b560 + 10496*b159*b561
     + 9216*b159*b562 + 3712*b159*b563 + 15908*b159*b564 + 13968*b159*b565 + 
    5626*b159*b566 + 6232*b159*b567 + 5472*b159*b568 + 2204*b159*b569 + 1968*
    b159*b570 + 1728*b159*b571 + 696*b159*b572 + 16236*b159*b573 + 14256*b159*
    b574 + 5742*b159*b575 + 8364*b159*b576 + 7344*b159*b577 + 2958*b159*b578 + 
    14268*b159*b579 + 12528*b159*b580 + 5046*b159*b581 + 12464*b159*b582 + 
    10944*b159*b583 + 4408*b159*b584 + 11644*b159*b585 + 10224*b159*b586 + 4118
    *b159*b587 + 7708*b159*b588 + 6768*b159*b589 + 2726*b159*b590 + 7708*b159*
    b591 + 6768*b159*b592 + 2726*b159*b593 + 1476*b159*b594 + 1296*b159*b595 + 
    522*b159*b596 + 11644*b159*b597 + 10224*b159*b598 + 4118*b159*b599 + 2900*
    b159*b600 + 100*b159*b602 + 1500*b159*b603 + 1100*b159*b604 + 3500*b159*
    b605 + 1100*b159*b606 + 2000*b159*b607 + 2100*b159*b608 + 6100*b159*b609 + 
    8000*b159*b610 + 5800*b159*b611 + 2100*b159*b612 + 7600*b159*b613 + 7200*
    b159*b614 + 4400*b159*b615 + 8500*b159*b616 + 9400*b159*b617 + 9000*b159*
    b618 + 5100*b159*b619 + 300*b159*b620 + 4800*b159*b621 + 2900*b159*b622 + 
    9100*b159*b623 + 11480*b159*b624 + 10080*b159*b625 + 4060*b159*b626 + 946*
    b160*b179 + 7052*b160*b180 + 86*b160*b181 + 7740*b160*b183 + 5676*b160*b184
     + 3526*b160*b185 + 1290*b160*b186 + 7138*b160*b187 + 8256*b160*b188 + 6364
    *b160*b189 + 3870*b160*b190 + 5590*b160*b191 + 3440*b160*b192 + 4644*b160*
    b193 + 1204*b160*b194 + 6106*b160*b195 + 6622*b160*b196 + 3096*b160*b197 + 
    4558*b160*b198 + 3182*b160*b199 + 2236*b160*b200 + 2068*b160*b201 + 15416*
    b160*b202 + 188*b160*b203 + 16920*b160*b205 + 12408*b160*b206 + 7708*b160*
    b207 + 2820*b160*b208 + 15604*b160*b209 + 18048*b160*b210 + 13912*b160*b211
     + 8460*b160*b212 + 12220*b160*b213 + 7520*b160*b214 + 10152*b160*b215 + 
    2632*b160*b216 + 13348*b160*b217 + 14476*b160*b218 + 6768*b160*b219 + 9964*
    b160*b220 + 6956*b160*b221 + 4888*b160*b222 + 638*b160*b223 + 4756*b160*
    b224 + 58*b160*b225 + 5220*b160*b227 + 3828*b160*b228 + 2378*b160*b229 + 
    870*b160*b230 + 4814*b160*b231 + 5568*b160*b232 + 4292*b160*b233 + 2610*
    b160*b234 + 3770*b160*b235 + 2320*b160*b236 + 3132*b160*b237 + 812*b160*
    b238 + 4118*b160*b239 + 4466*b160*b240 + 2088*b160*b241 + 3074*b160*b242 + 
    2146*b160*b243 + 1508*b160*b244 + 1408*b160*b245 + 10496*b160*b246 + 128*
    b160*b247 + 11520*b160*b249 + 8448*b160*b250 + 5248*b160*b251 + 1920*b160*
    b252 + 10624*b160*b253 + 12288*b160*b254 + 9472*b160*b255 + 5760*b160*b256
     + 8320*b160*b257 + 5120*b160*b258 + 6912*b160*b259 + 1792*b160*b260 + 9088
    *b160*b261 + 9856*b160*b262 + 4608*b160*b263 + 6784*b160*b264 + 4736*b160*
    b265 + 3328*b160*b266 + 2134*b160*b267 + 15908*b160*b268 + 194*b160*b269 + 
    17460*b160*b271 + 12804*b160*b272 + 7954*b160*b273 + 2910*b160*b274 + 16102
    *b160*b275 + 18624*b160*b276 + 14356*b160*b277 + 8730*b160*b278 + 12610*
    b160*b279 + 7760*b160*b280 + 10476*b160*b281 + 2716*b160*b282 + 13774*b160*
    b283 + 14938*b160*b284 + 6984*b160*b285 + 10282*b160*b286 + 7178*b160*b287
     + 5044*b160*b288 + 836*b160*b289 + 6232*b160*b290 + 76*b160*b291 + 6840*
    b160*b293 + 5016*b160*b294 + 3116*b160*b295 + 1140*b160*b296 + 6308*b160*
    b297 + 7296*b160*b298 + 5624*b160*b299 + 3420*b160*b300 + 4940*b160*b301 + 
    3040*b160*b302 + 4104*b160*b303 + 1064*b160*b304 + 5396*b160*b305 + 5852*
    b160*b306 + 2736*b160*b307 + 4028*b160*b308 + 2812*b160*b309 + 1976*b160*
    b310 + 264*b160*b311 + 1968*b160*b312 + 24*b160*b313 + 2160*b160*b315 + 
    1584*b160*b316 + 984*b160*b317 + 360*b160*b318 + 1992*b160*b319 + 2304*b160
    *b320 + 1776*b160*b321 + 1080*b160*b322 + 1560*b160*b323 + 960*b160*b324 + 
    1296*b160*b325 + 336*b160*b326 + 1704*b160*b327 + 1848*b160*b328 + 864*b160
    *b329 + 1272*b160*b330 + 888*b160*b331 + 624*b160*b332 + 2178*b160*b333 + 
    16236*b160*b334 + 198*b160*b335 + 17820*b160*b337 + 13068*b160*b338 + 8118*
    b160*b339 + 2970*b160*b340 + 16434*b160*b341 + 19008*b160*b342 + 14652*b160
    *b343 + 8910*b160*b344 + 12870*b160*b345 + 7920*b160*b346 + 10692*b160*b347
     + 2772*b160*b348 + 14058*b160*b349 + 15246*b160*b350 + 7128*b160*b351 + 
    10494*b160*b352 + 7326*b160*b353 + 5148*b160*b354 + 1122*b160*b355 + 8364*
    b160*b356 + 102*b160*b357 + 9180*b160*b359 + 6732*b160*b360 + 4182*b160*
    b361 + 1530*b160*b362 + 8466*b160*b363 + 9792*b160*b364 + 7548*b160*b365 + 
    4590*b160*b366 + 6630*b160*b367 + 4080*b160*b368 + 5508*b160*b369 + 1428*
    b160*b370 + 7242*b160*b371 + 7854*b160*b372 + 3672*b160*b373 + 5406*b160*
    b374 + 3774*b160*b375 + 2652*b160*b376 + 1914*b160*b377 + 14268*b160*b378
     + 174*b160*b379 + 15660*b160*b381 + 11484*b160*b382 + 7134*b160*b383 + 
    2610*b160*b384 + 14442*b160*b385 + 16704*b160*b386 + 12876*b160*b387 + 7830
    *b160*b388 + 11310*b160*b389 + 6960*b160*b390 + 9396*b160*b391 + 2436*b160*
    b392 + 12354*b160*b393 + 13398*b160*b394 + 6264*b160*b395 + 9222*b160*b396
     + 6438*b160*b397 + 4524*b160*b398 + 1672*b160*b399 + 12464*b160*b400 + 152
    *b160*b401 + 13680*b160*b403 + 10032*b160*b404 + 6232*b160*b405 + 2280*b160
    *b406 + 12616*b160*b407 + 14592*b160*b408 + 11248*b160*b409 + 6840*b160*
    b410 + 9880*b160*b411 + 6080*b160*b412 + 8208*b160*b413 + 2128*b160*b414 + 
    10792*b160*b415 + 11704*b160*b416 + 5472*b160*b417 + 8056*b160*b418 + 5624*
    b160*b419 + 3952*b160*b420 + 1562*b160*b421 + 11644*b160*b422 + 142*b160*
    b423 + 12780*b160*b425 + 9372*b160*b426 + 5822*b160*b427 + 2130*b160*b428
     + 11786*b160*b429 + 13632*b160*b430 + 10508*b160*b431 + 6390*b160*b432 + 
    9230*b160*b433 + 5680*b160*b434 + 7668*b160*b435 + 1988*b160*b436 + 10082*
    b160*b437 + 10934*b160*b438 + 5112*b160*b439 + 7526*b160*b440 + 5254*b160*
    b441 + 3692*b160*b442 + 1034*b160*b443 + 7708*b160*b444 + 94*b160*b445 + 
    8460*b160*b447 + 6204*b160*b448 + 3854*b160*b449 + 1410*b160*b450 + 7802*
    b160*b451 + 9024*b160*b452 + 6956*b160*b453 + 4230*b160*b454 + 6110*b160*
    b455 + 3760*b160*b456 + 5076*b160*b457 + 1316*b160*b458 + 6674*b160*b459 + 
    7238*b160*b460 + 3384*b160*b461 + 4982*b160*b462 + 3478*b160*b463 + 2444*
    b160*b464 + 1034*b160*b465 + 7708*b160*b466 + 94*b160*b467 + 8460*b160*b469
     + 6204*b160*b470 + 3854*b160*b471 + 1410*b160*b472 + 7802*b160*b473 + 9024
    *b160*b474 + 6956*b160*b475 + 4230*b160*b476 + 6110*b160*b477 + 3760*b160*
    b478 + 5076*b160*b479 + 1316*b160*b480 + 6674*b160*b481 + 7238*b160*b482 + 
    3384*b160*b483 + 4982*b160*b484 + 3478*b160*b485 + 2444*b160*b486 + 198*
    b160*b487 + 1476*b160*b488 + 18*b160*b489 + 1620*b160*b491 + 1188*b160*b492
     + 738*b160*b493 + 270*b160*b494 + 1494*b160*b495 + 1728*b160*b496 + 1332*
    b160*b497 + 810*b160*b498 + 1170*b160*b499 + 720*b160*b500 + 972*b160*b501
     + 252*b160*b502 + 1278*b160*b503 + 1386*b160*b504 + 648*b160*b505 + 954*
    b160*b506 + 666*b160*b507 + 468*b160*b508 + 1562*b160*b509 + 11644*b160*
    b510 + 142*b160*b511 + 12780*b160*b513 + 9372*b160*b514 + 5822*b160*b515 + 
    2130*b160*b516 + 11786*b160*b517 + 13632*b160*b518 + 10508*b160*b519 + 6390
    *b160*b520 + 9230*b160*b521 + 5680*b160*b522 + 7668*b160*b523 + 1988*b160*
    b524 + 10082*b160*b525 + 10934*b160*b526 + 5112*b160*b527 + 7526*b160*b528
     + 5254*b160*b529 + 3692*b160*b530 + 2240*b160*b531 + 3320*b160*b532 + 3480
    *b160*b533 + 7952*b160*b534 + 11786*b160*b535 + 12354*b160*b536 + 7840*b160
    *b537 + 11620*b160*b538 + 12180*b160*b539 + 3584*b160*b540 + 5312*b160*b541
     + 5568*b160*b542 + 7952*b160*b543 + 11786*b160*b544 + 12354*b160*b545 + 
    3696*b160*b546 + 5478*b160*b547 + 5742*b160*b548 + 4816*b160*b552 + 7138*
    b160*b553 + 7482*b160*b554 + 10528*b160*b555 + 15604*b160*b556 + 16356*b160
    *b557 + 3248*b160*b558 + 4814*b160*b559 + 5046*b160*b560 + 7168*b160*b561
     + 10624*b160*b562 + 11136*b160*b563 + 10864*b160*b564 + 16102*b160*b565 + 
    16878*b160*b566 + 4256*b160*b567 + 6308*b160*b568 + 6612*b160*b569 + 1344*
    b160*b570 + 1992*b160*b571 + 2088*b160*b572 + 11088*b160*b573 + 16434*b160*
    b574 + 17226*b160*b575 + 5712*b160*b576 + 8466*b160*b577 + 8874*b160*b578
     + 9744*b160*b579 + 14442*b160*b580 + 15138*b160*b581 + 8512*b160*b582 + 
    12616*b160*b583 + 13224*b160*b584 + 7952*b160*b585 + 11786*b160*b586 + 
    12354*b160*b587 + 5264*b160*b588 + 7802*b160*b589 + 8178*b160*b590 + 5264*
    b160*b591 + 7802*b160*b592 + 8178*b160*b593 + 1008*b160*b594 + 1494*b160*
    b595 + 1566*b160*b596 + 7952*b160*b597 + 11786*b160*b598 + 12354*b160*b599
     + 8200*b160*b600 + 100*b160*b601 + 9000*b160*b603 + 6600*b160*b604 + 4100*
    b160*b605 + 1500*b160*b606 + 8300*b160*b607 + 9600*b160*b608 + 7400*b160*
    b609 + 4500*b160*b610 + 6500*b160*b611 + 4000*b160*b612 + 5400*b160*b613 + 
    8300*b160*b614 + 1400*b160*b615 + 7100*b160*b616 + 7700*b160*b617 + 3600*
    b160*b618 + 5300*b160*b619 + 3700*b160*b620 + 2600*b160*b621 + 8700*b160*
    b622 + 1100*b160*b623 + 7840*b160*b624 + 11620*b160*b625 + 12180*b160*b626
     + 3010*b161*b179 + 7052*b161*b180 + 1290*b161*b181 + 7740*b161*b182 + 6536
    *b161*b184 + 7826*b161*b185 + 1118*b161*b186 + 2494*b161*b187 + 946*b161*
    b188 + 6622*b161*b189 + 2752*b161*b190 + 7482*b161*b191 + 5762*b161*b192 + 
    8084*b161*b193 + 172*b161*b194 + 860*b161*b195 + 8514*b161*b196 + 4816*b161
    *b197 + 6020*b161*b198 + 8514*b161*b199 + 5160*b161*b200 + 6580*b161*b201
     + 15416*b161*b202 + 2820*b161*b203 + 16920*b161*b204 + 14288*b161*b206 + 
    17108*b161*b207 + 2444*b161*b208 + 5452*b161*b209 + 2068*b161*b210 + 14476*
    b161*b211 + 6016*b161*b212 + 16356*b161*b213 + 12596*b161*b214 + 17672*b161
    *b215 + 376*b161*b216 + 1880*b161*b217 + 18612*b161*b218 + 10528*b161*b219
     + 13160*b161*b220 + 18612*b161*b221 + 11280*b161*b222 + 2030*b161*b223 + 
    4756*b161*b224 + 870*b161*b225 + 5220*b161*b226 + 4408*b161*b228 + 5278*
    b161*b229 + 754*b161*b230 + 1682*b161*b231 + 638*b161*b232 + 4466*b161*b233
     + 1856*b161*b234 + 5046*b161*b235 + 3886*b161*b236 + 5452*b161*b237 + 116*
    b161*b238 + 580*b161*b239 + 5742*b161*b240 + 3248*b161*b241 + 4060*b161*
    b242 + 5742*b161*b243 + 3480*b161*b244 + 4480*b161*b245 + 10496*b161*b246
     + 1920*b161*b247 + 11520*b161*b248 + 9728*b161*b250 + 11648*b161*b251 + 
    1664*b161*b252 + 3712*b161*b253 + 1408*b161*b254 + 9856*b161*b255 + 4096*
    b161*b256 + 11136*b161*b257 + 8576*b161*b258 + 12032*b161*b259 + 256*b161*
    b260 + 1280*b161*b261 + 12672*b161*b262 + 7168*b161*b263 + 8960*b161*b264
     + 12672*b161*b265 + 7680*b161*b266 + 6790*b161*b267 + 15908*b161*b268 + 
    2910*b161*b269 + 17460*b161*b270 + 14744*b161*b272 + 17654*b161*b273 + 2522
    *b161*b274 + 5626*b161*b275 + 2134*b161*b276 + 14938*b161*b277 + 6208*b161*
    b278 + 16878*b161*b279 + 12998*b161*b280 + 18236*b161*b281 + 388*b161*b282
     + 1940*b161*b283 + 19206*b161*b284 + 10864*b161*b285 + 13580*b161*b286 + 
    19206*b161*b287 + 11640*b161*b288 + 2660*b161*b289 + 6232*b161*b290 + 1140*
    b161*b291 + 6840*b161*b292 + 5776*b161*b294 + 6916*b161*b295 + 988*b161*
    b296 + 2204*b161*b297 + 836*b161*b298 + 5852*b161*b299 + 2432*b161*b300 + 
    6612*b161*b301 + 5092*b161*b302 + 7144*b161*b303 + 152*b161*b304 + 760*b161
    *b305 + 7524*b161*b306 + 4256*b161*b307 + 5320*b161*b308 + 7524*b161*b309
     + 4560*b161*b310 + 840*b161*b311 + 1968*b161*b312 + 360*b161*b313 + 2160*
    b161*b314 + 1824*b161*b316 + 2184*b161*b317 + 312*b161*b318 + 696*b161*b319
     + 264*b161*b320 + 1848*b161*b321 + 768*b161*b322 + 2088*b161*b323 + 1608*
    b161*b324 + 2256*b161*b325 + 48*b161*b326 + 240*b161*b327 + 2376*b161*b328
     + 1344*b161*b329 + 1680*b161*b330 + 2376*b161*b331 + 1440*b161*b332 + 6930
    *b161*b333 + 16236*b161*b334 + 2970*b161*b335 + 17820*b161*b336 + 15048*
    b161*b338 + 18018*b161*b339 + 2574*b161*b340 + 5742*b161*b341 + 2178*b161*
    b342 + 15246*b161*b343 + 6336*b161*b344 + 17226*b161*b345 + 13266*b161*b346
     + 18612*b161*b347 + 396*b161*b348 + 1980*b161*b349 + 19602*b161*b350 + 
    11088*b161*b351 + 13860*b161*b352 + 19602*b161*b353 + 11880*b161*b354 + 
    3570*b161*b355 + 8364*b161*b356 + 1530*b161*b357 + 9180*b161*b358 + 7752*
    b161*b360 + 9282*b161*b361 + 1326*b161*b362 + 2958*b161*b363 + 1122*b161*
    b364 + 7854*b161*b365 + 3264*b161*b366 + 8874*b161*b367 + 6834*b161*b368 + 
    9588*b161*b369 + 204*b161*b370 + 1020*b161*b371 + 10098*b161*b372 + 5712*
    b161*b373 + 7140*b161*b374 + 10098*b161*b375 + 6120*b161*b376 + 6090*b161*
    b377 + 14268*b161*b378 + 2610*b161*b379 + 15660*b161*b380 + 13224*b161*b382
     + 15834*b161*b383 + 2262*b161*b384 + 5046*b161*b385 + 1914*b161*b386 + 
    13398*b161*b387 + 5568*b161*b388 + 15138*b161*b389 + 11658*b161*b390 + 
    16356*b161*b391 + 348*b161*b392 + 1740*b161*b393 + 17226*b161*b394 + 9744*
    b161*b395 + 12180*b161*b396 + 17226*b161*b397 + 10440*b161*b398 + 5320*b161
    *b399 + 12464*b161*b400 + 2280*b161*b401 + 13680*b161*b402 + 11552*b161*
    b404 + 13832*b161*b405 + 1976*b161*b406 + 4408*b161*b407 + 1672*b161*b408
     + 11704*b161*b409 + 4864*b161*b410 + 13224*b161*b411 + 10184*b161*b412 + 
    14288*b161*b413 + 304*b161*b414 + 1520*b161*b415 + 15048*b161*b416 + 8512*
    b161*b417 + 10640*b161*b418 + 15048*b161*b419 + 9120*b161*b420 + 4970*b161*
    b421 + 11644*b161*b422 + 2130*b161*b423 + 12780*b161*b424 + 10792*b161*b426
     + 12922*b161*b427 + 1846*b161*b428 + 4118*b161*b429 + 1562*b161*b430 + 
    10934*b161*b431 + 4544*b161*b432 + 12354*b161*b433 + 9514*b161*b434 + 13348
    *b161*b435 + 284*b161*b436 + 1420*b161*b437 + 14058*b161*b438 + 7952*b161*
    b439 + 9940*b161*b440 + 14058*b161*b441 + 8520*b161*b442 + 3290*b161*b443
     + 7708*b161*b444 + 1410*b161*b445 + 8460*b161*b446 + 7144*b161*b448 + 8554
    *b161*b449 + 1222*b161*b450 + 2726*b161*b451 + 1034*b161*b452 + 7238*b161*
    b453 + 3008*b161*b454 + 8178*b161*b455 + 6298*b161*b456 + 8836*b161*b457 + 
    188*b161*b458 + 940*b161*b459 + 9306*b161*b460 + 5264*b161*b461 + 6580*b161
    *b462 + 9306*b161*b463 + 5640*b161*b464 + 3290*b161*b465 + 7708*b161*b466
     + 1410*b161*b467 + 8460*b161*b468 + 7144*b161*b470 + 8554*b161*b471 + 1222
    *b161*b472 + 2726*b161*b473 + 1034*b161*b474 + 7238*b161*b475 + 3008*b161*
    b476 + 8178*b161*b477 + 6298*b161*b478 + 8836*b161*b479 + 188*b161*b480 + 
    940*b161*b481 + 9306*b161*b482 + 5264*b161*b483 + 6580*b161*b484 + 9306*
    b161*b485 + 5640*b161*b486 + 630*b161*b487 + 1476*b161*b488 + 270*b161*b489
     + 1620*b161*b490 + 1368*b161*b492 + 1638*b161*b493 + 234*b161*b494 + 522*
    b161*b495 + 198*b161*b496 + 1386*b161*b497 + 576*b161*b498 + 1566*b161*b499
     + 1206*b161*b500 + 1692*b161*b501 + 36*b161*b502 + 180*b161*b503 + 1782*
    b161*b504 + 1008*b161*b505 + 1260*b161*b506 + 1782*b161*b507 + 1080*b161*
    b508 + 4970*b161*b509 + 11644*b161*b510 + 2130*b161*b511 + 12780*b161*b512
     + 10792*b161*b514 + 12922*b161*b515 + 1846*b161*b516 + 4118*b161*b517 + 
    1562*b161*b518 + 10934*b161*b519 + 4544*b161*b520 + 12354*b161*b521 + 9514*
    b161*b522 + 13348*b161*b523 + 284*b161*b524 + 1420*b161*b525 + 14058*b161*
    b526 + 7952*b161*b527 + 9940*b161*b528 + 14058*b161*b529 + 8520*b161*b530
     + 1640*b161*b531 + 3160*b161*b532 + 160*b161*b533 + 5822*b161*b534 + 11218
    *b161*b535 + 568*b161*b536 + 5740*b161*b537 + 11060*b161*b538 + 560*b161*
    b539 + 2624*b161*b540 + 5056*b161*b541 + 256*b161*b542 + 5822*b161*b543 + 
    11218*b161*b544 + 568*b161*b545 + 2706*b161*b546 + 5214*b161*b547 + 264*
    b161*b548 + 3526*b161*b552 + 6794*b161*b553 + 344*b161*b554 + 7708*b161*
    b555 + 14852*b161*b556 + 752*b161*b557 + 2378*b161*b558 + 4582*b161*b559 + 
    232*b161*b560 + 5248*b161*b561 + 10112*b161*b562 + 512*b161*b563 + 7954*
    b161*b564 + 15326*b161*b565 + 776*b161*b566 + 3116*b161*b567 + 6004*b161*
    b568 + 304*b161*b569 + 984*b161*b570 + 1896*b161*b571 + 96*b161*b572 + 8118
    *b161*b573 + 15642*b161*b574 + 792*b161*b575 + 4182*b161*b576 + 8058*b161*
    b577 + 408*b161*b578 + 7134*b161*b579 + 13746*b161*b580 + 696*b161*b581 + 
    6232*b161*b582 + 12008*b161*b583 + 608*b161*b584 + 5822*b161*b585 + 11218*
    b161*b586 + 568*b161*b587 + 3854*b161*b588 + 7426*b161*b589 + 376*b161*b590
     + 3854*b161*b591 + 7426*b161*b592 + 376*b161*b593 + 738*b161*b594 + 1422*
    b161*b595 + 72*b161*b596 + 5822*b161*b597 + 11218*b161*b598 + 568*b161*b599
     + 8200*b161*b600 + 1500*b161*b601 + 9000*b161*b602 + 7600*b161*b604 + 9100
    *b161*b605 + 1300*b161*b606 + 2900*b161*b607 + 1100*b161*b608 + 7700*b161*
    b609 + 3200*b161*b610 + 8700*b161*b611 + 6700*b161*b612 + 9400*b161*b613 + 
    7900*b161*b614 + 200*b161*b615 + 1000*b161*b616 + 9900*b161*b617 + 5600*
    b161*b618 + 7000*b161*b619 + 9900*b161*b620 + 6000*b161*b621 + 400*b161*
    b622 + 3500*b161*b623 + 5740*b161*b624 + 11060*b161*b625 + 560*b161*b626 + 
    7052*b162*b179 + 516*b162*b180 + 946*b162*b181 + 5676*b162*b182 + 6536*b162
    *b183 + 4816*b162*b185 + 172*b162*b186 + 5160*b162*b187 + 6192*b162*b188 + 
    6364*b162*b189 + 3956*b162*b190 + 1118*b162*b191 + 1720*b162*b192 + 7396*
    b162*b193 + 6622*b162*b194 + 1290*b162*b195 + 7654*b162*b196 + 4128*b162*
    b197 + 1204*b162*b198 + 7654*b162*b199 + 3784*b162*b200 + 15416*b162*b201
     + 1128*b162*b202 + 2068*b162*b203 + 12408*b162*b204 + 14288*b162*b205 + 
    10528*b162*b207 + 376*b162*b208 + 11280*b162*b209 + 13536*b162*b210 + 13912
    *b162*b211 + 8648*b162*b212 + 2444*b162*b213 + 3760*b162*b214 + 16168*b162*
    b215 + 14476*b162*b216 + 2820*b162*b217 + 16732*b162*b218 + 9024*b162*b219
     + 2632*b162*b220 + 16732*b162*b221 + 8272*b162*b222 + 4756*b162*b223 + 348
    *b162*b224 + 638*b162*b225 + 3828*b162*b226 + 4408*b162*b227 + 3248*b162*
    b229 + 116*b162*b230 + 3480*b162*b231 + 4176*b162*b232 + 4292*b162*b233 + 
    2668*b162*b234 + 754*b162*b235 + 1160*b162*b236 + 4988*b162*b237 + 4466*
    b162*b238 + 870*b162*b239 + 5162*b162*b240 + 2784*b162*b241 + 812*b162*b242
     + 5162*b162*b243 + 2552*b162*b244 + 10496*b162*b245 + 768*b162*b246 + 1408
    *b162*b247 + 8448*b162*b248 + 9728*b162*b249 + 7168*b162*b251 + 256*b162*
    b252 + 7680*b162*b253 + 9216*b162*b254 + 9472*b162*b255 + 5888*b162*b256 + 
    1664*b162*b257 + 2560*b162*b258 + 11008*b162*b259 + 9856*b162*b260 + 1920*
    b162*b261 + 11392*b162*b262 + 6144*b162*b263 + 1792*b162*b264 + 11392*b162*
    b265 + 5632*b162*b266 + 15908*b162*b267 + 1164*b162*b268 + 2134*b162*b269
     + 12804*b162*b270 + 14744*b162*b271 + 10864*b162*b273 + 388*b162*b274 + 
    11640*b162*b275 + 13968*b162*b276 + 14356*b162*b277 + 8924*b162*b278 + 2522
    *b162*b279 + 3880*b162*b280 + 16684*b162*b281 + 14938*b162*b282 + 2910*b162
    *b283 + 17266*b162*b284 + 9312*b162*b285 + 2716*b162*b286 + 17266*b162*b287
     + 8536*b162*b288 + 6232*b162*b289 + 456*b162*b290 + 836*b162*b291 + 5016*
    b162*b292 + 5776*b162*b293 + 4256*b162*b295 + 152*b162*b296 + 4560*b162*
    b297 + 5472*b162*b298 + 5624*b162*b299 + 3496*b162*b300 + 988*b162*b301 + 
    1520*b162*b302 + 6536*b162*b303 + 5852*b162*b304 + 1140*b162*b305 + 6764*
    b162*b306 + 3648*b162*b307 + 1064*b162*b308 + 6764*b162*b309 + 3344*b162*
    b310 + 1968*b162*b311 + 144*b162*b312 + 264*b162*b313 + 1584*b162*b314 + 
    1824*b162*b315 + 1344*b162*b317 + 48*b162*b318 + 1440*b162*b319 + 1728*b162
    *b320 + 1776*b162*b321 + 1104*b162*b322 + 312*b162*b323 + 480*b162*b324 + 
    2064*b162*b325 + 1848*b162*b326 + 360*b162*b327 + 2136*b162*b328 + 1152*
    b162*b329 + 336*b162*b330 + 2136*b162*b331 + 1056*b162*b332 + 16236*b162*
    b333 + 1188*b162*b334 + 2178*b162*b335 + 13068*b162*b336 + 15048*b162*b337
     + 11088*b162*b339 + 396*b162*b340 + 11880*b162*b341 + 14256*b162*b342 + 
    14652*b162*b343 + 9108*b162*b344 + 2574*b162*b345 + 3960*b162*b346 + 17028*
    b162*b347 + 15246*b162*b348 + 2970*b162*b349 + 17622*b162*b350 + 9504*b162*
    b351 + 2772*b162*b352 + 17622*b162*b353 + 8712*b162*b354 + 8364*b162*b355
     + 612*b162*b356 + 1122*b162*b357 + 6732*b162*b358 + 7752*b162*b359 + 5712*
    b162*b361 + 204*b162*b362 + 6120*b162*b363 + 7344*b162*b364 + 7548*b162*
    b365 + 4692*b162*b366 + 1326*b162*b367 + 2040*b162*b368 + 8772*b162*b369 + 
    7854*b162*b370 + 1530*b162*b371 + 9078*b162*b372 + 4896*b162*b373 + 1428*
    b162*b374 + 9078*b162*b375 + 4488*b162*b376 + 14268*b162*b377 + 1044*b162*
    b378 + 1914*b162*b379 + 11484*b162*b380 + 13224*b162*b381 + 9744*b162*b383
     + 348*b162*b384 + 10440*b162*b385 + 12528*b162*b386 + 12876*b162*b387 + 
    8004*b162*b388 + 2262*b162*b389 + 3480*b162*b390 + 14964*b162*b391 + 13398*
    b162*b392 + 2610*b162*b393 + 15486*b162*b394 + 8352*b162*b395 + 2436*b162*
    b396 + 15486*b162*b397 + 7656*b162*b398 + 12464*b162*b399 + 912*b162*b400
     + 1672*b162*b401 + 10032*b162*b402 + 11552*b162*b403 + 8512*b162*b405 + 
    304*b162*b406 + 9120*b162*b407 + 10944*b162*b408 + 11248*b162*b409 + 6992*
    b162*b410 + 1976*b162*b411 + 3040*b162*b412 + 13072*b162*b413 + 11704*b162*
    b414 + 2280*b162*b415 + 13528*b162*b416 + 7296*b162*b417 + 2128*b162*b418
     + 13528*b162*b419 + 6688*b162*b420 + 11644*b162*b421 + 852*b162*b422 + 
    1562*b162*b423 + 9372*b162*b424 + 10792*b162*b425 + 7952*b162*b427 + 284*
    b162*b428 + 8520*b162*b429 + 10224*b162*b430 + 10508*b162*b431 + 6532*b162*
    b432 + 1846*b162*b433 + 2840*b162*b434 + 12212*b162*b435 + 10934*b162*b436
     + 2130*b162*b437 + 12638*b162*b438 + 6816*b162*b439 + 1988*b162*b440 + 
    12638*b162*b441 + 6248*b162*b442 + 7708*b162*b443 + 564*b162*b444 + 1034*
    b162*b445 + 6204*b162*b446 + 7144*b162*b447 + 5264*b162*b449 + 188*b162*
    b450 + 5640*b162*b451 + 6768*b162*b452 + 6956*b162*b453 + 4324*b162*b454 + 
    1222*b162*b455 + 1880*b162*b456 + 8084*b162*b457 + 7238*b162*b458 + 1410*
    b162*b459 + 8366*b162*b460 + 4512*b162*b461 + 1316*b162*b462 + 8366*b162*
    b463 + 4136*b162*b464 + 7708*b162*b465 + 564*b162*b466 + 1034*b162*b467 + 
    6204*b162*b468 + 7144*b162*b469 + 5264*b162*b471 + 188*b162*b472 + 5640*
    b162*b473 + 6768*b162*b474 + 6956*b162*b475 + 4324*b162*b476 + 1222*b162*
    b477 + 1880*b162*b478 + 8084*b162*b479 + 7238*b162*b480 + 1410*b162*b481 + 
    8366*b162*b482 + 4512*b162*b483 + 1316*b162*b484 + 8366*b162*b485 + 4136*
    b162*b486 + 1476*b162*b487 + 108*b162*b488 + 198*b162*b489 + 1188*b162*b490
     + 1368*b162*b491 + 1008*b162*b493 + 36*b162*b494 + 1080*b162*b495 + 1296*
    b162*b496 + 1332*b162*b497 + 828*b162*b498 + 234*b162*b499 + 360*b162*b500
     + 1548*b162*b501 + 1386*b162*b502 + 270*b162*b503 + 1602*b162*b504 + 864*
    b162*b505 + 252*b162*b506 + 1602*b162*b507 + 792*b162*b508 + 11644*b162*
    b509 + 852*b162*b510 + 1562*b162*b511 + 9372*b162*b512 + 10792*b162*b513 + 
    7952*b162*b515 + 284*b162*b516 + 8520*b162*b517 + 10224*b162*b518 + 10508*
    b162*b519 + 6532*b162*b520 + 1846*b162*b521 + 2840*b162*b522 + 12212*b162*
    b523 + 10934*b162*b524 + 2130*b162*b525 + 12638*b162*b526 + 6816*b162*b527
     + 1988*b162*b528 + 12638*b162*b529 + 6248*b162*b530 + 240*b162*b531 + 160*
    b162*b532 + 2360*b162*b533 + 852*b162*b534 + 568*b162*b535 + 8378*b162*b536
     + 840*b162*b537 + 560*b162*b538 + 8260*b162*b539 + 384*b162*b540 + 256*
    b162*b541 + 3776*b162*b542 + 852*b162*b543 + 568*b162*b544 + 8378*b162*b545
     + 396*b162*b546 + 264*b162*b547 + 3894*b162*b548 + 516*b162*b552 + 344*
    b162*b553 + 5074*b162*b554 + 1128*b162*b555 + 752*b162*b556 + 11092*b162*
    b557 + 348*b162*b558 + 232*b162*b559 + 3422*b162*b560 + 768*b162*b561 + 512
    *b162*b562 + 7552*b162*b563 + 1164*b162*b564 + 776*b162*b565 + 11446*b162*
    b566 + 456*b162*b567 + 304*b162*b568 + 4484*b162*b569 + 144*b162*b570 + 96*
    b162*b571 + 1416*b162*b572 + 1188*b162*b573 + 792*b162*b574 + 11682*b162*
    b575 + 612*b162*b576 + 408*b162*b577 + 6018*b162*b578 + 1044*b162*b579 + 
    696*b162*b580 + 10266*b162*b581 + 912*b162*b582 + 608*b162*b583 + 8968*b162
    *b584 + 852*b162*b585 + 568*b162*b586 + 8378*b162*b587 + 564*b162*b588 + 
    376*b162*b589 + 5546*b162*b590 + 564*b162*b591 + 376*b162*b592 + 5546*b162*
    b593 + 108*b162*b594 + 72*b162*b595 + 1062*b162*b596 + 852*b162*b597 + 568*
    b162*b598 + 8378*b162*b599 + 600*b162*b600 + 1100*b162*b601 + 6600*b162*
    b602 + 7600*b162*b603 + 5600*b162*b605 + 200*b162*b606 + 6000*b162*b607 + 
    7200*b162*b608 + 7400*b162*b609 + 4600*b162*b610 + 1300*b162*b611 + 2000*
    b162*b612 + 8600*b162*b613 + 400*b162*b614 + 7700*b162*b615 + 1500*b162*
    b616 + 8900*b162*b617 + 4800*b162*b618 + 1400*b162*b619 + 8900*b162*b620 + 
    4400*b162*b621 + 5900*b162*b622 + 8200*b162*b623 + 840*b162*b624 + 560*b162
    *b625 + 8260*b162*b626 + 2236*b163*b179 + 6106*b163*b180 + 3010*b163*b181
     + 3526*b163*b182 + 7826*b163*b183 + 4816*b163*b184 + 1892*b163*b186 + 4902
    *b163*b187 + 5418*b163*b188 + 516*b163*b189 + 5332*b163*b191 + 3526*b163*
    b192 + 5332*b163*b193 + 2150*b163*b194 + 6450*b163*b195 + 6536*b163*b196 + 
    3440*b163*b197 + 5676*b163*b198 + 4988*b163*b199 + 2580*b163*b200 + 4888*
    b163*b201 + 13348*b163*b202 + 6580*b163*b203 + 7708*b163*b204 + 17108*b163*
    b205 + 10528*b163*b206 + 4136*b163*b208 + 10716*b163*b209 + 11844*b163*b210
     + 1128*b163*b211 + 11656*b163*b213 + 7708*b163*b214 + 11656*b163*b215 + 
    4700*b163*b216 + 14100*b163*b217 + 14288*b163*b218 + 7520*b163*b219 + 12408
    *b163*b220 + 10904*b163*b221 + 5640*b163*b222 + 1508*b163*b223 + 4118*b163*
    b224 + 2030*b163*b225 + 2378*b163*b226 + 5278*b163*b227 + 3248*b163*b228 + 
    1276*b163*b230 + 3306*b163*b231 + 3654*b163*b232 + 348*b163*b233 + 3596*
    b163*b235 + 2378*b163*b236 + 3596*b163*b237 + 1450*b163*b238 + 4350*b163*
    b239 + 4408*b163*b240 + 2320*b163*b241 + 3828*b163*b242 + 3364*b163*b243 + 
    1740*b163*b244 + 3328*b163*b245 + 9088*b163*b246 + 4480*b163*b247 + 5248*
    b163*b248 + 11648*b163*b249 + 7168*b163*b250 + 2816*b163*b252 + 7296*b163*
    b253 + 8064*b163*b254 + 768*b163*b255 + 7936*b163*b257 + 5248*b163*b258 + 
    7936*b163*b259 + 3200*b163*b260 + 9600*b163*b261 + 9728*b163*b262 + 5120*
    b163*b263 + 8448*b163*b264 + 7424*b163*b265 + 3840*b163*b266 + 5044*b163*
    b267 + 13774*b163*b268 + 6790*b163*b269 + 7954*b163*b270 + 17654*b163*b271
     + 10864*b163*b272 + 4268*b163*b274 + 11058*b163*b275 + 12222*b163*b276 + 
    1164*b163*b277 + 12028*b163*b279 + 7954*b163*b280 + 12028*b163*b281 + 4850*
    b163*b282 + 14550*b163*b283 + 14744*b163*b284 + 7760*b163*b285 + 12804*b163
    *b286 + 11252*b163*b287 + 5820*b163*b288 + 1976*b163*b289 + 5396*b163*b290
     + 2660*b163*b291 + 3116*b163*b292 + 6916*b163*b293 + 4256*b163*b294 + 1672
    *b163*b296 + 4332*b163*b297 + 4788*b163*b298 + 456*b163*b299 + 4712*b163*
    b301 + 3116*b163*b302 + 4712*b163*b303 + 1900*b163*b304 + 5700*b163*b305 + 
    5776*b163*b306 + 3040*b163*b307 + 5016*b163*b308 + 4408*b163*b309 + 2280*
    b163*b310 + 624*b163*b311 + 1704*b163*b312 + 840*b163*b313 + 984*b163*b314
     + 2184*b163*b315 + 1344*b163*b316 + 528*b163*b318 + 1368*b163*b319 + 1512*
    b163*b320 + 144*b163*b321 + 1488*b163*b323 + 984*b163*b324 + 1488*b163*b325
     + 600*b163*b326 + 1800*b163*b327 + 1824*b163*b328 + 960*b163*b329 + 1584*
    b163*b330 + 1392*b163*b331 + 720*b163*b332 + 5148*b163*b333 + 14058*b163*
    b334 + 6930*b163*b335 + 8118*b163*b336 + 18018*b163*b337 + 11088*b163*b338
     + 4356*b163*b340 + 11286*b163*b341 + 12474*b163*b342 + 1188*b163*b343 + 
    12276*b163*b345 + 8118*b163*b346 + 12276*b163*b347 + 4950*b163*b348 + 14850
    *b163*b349 + 15048*b163*b350 + 7920*b163*b351 + 13068*b163*b352 + 11484*
    b163*b353 + 5940*b163*b354 + 2652*b163*b355 + 7242*b163*b356 + 3570*b163*
    b357 + 4182*b163*b358 + 9282*b163*b359 + 5712*b163*b360 + 2244*b163*b362 + 
    5814*b163*b363 + 6426*b163*b364 + 612*b163*b365 + 6324*b163*b367 + 4182*
    b163*b368 + 6324*b163*b369 + 2550*b163*b370 + 7650*b163*b371 + 7752*b163*
    b372 + 4080*b163*b373 + 6732*b163*b374 + 5916*b163*b375 + 3060*b163*b376 + 
    4524*b163*b377 + 12354*b163*b378 + 6090*b163*b379 + 7134*b163*b380 + 15834*
    b163*b381 + 9744*b163*b382 + 3828*b163*b384 + 9918*b163*b385 + 10962*b163*
    b386 + 1044*b163*b387 + 10788*b163*b389 + 7134*b163*b390 + 10788*b163*b391
     + 4350*b163*b392 + 13050*b163*b393 + 13224*b163*b394 + 6960*b163*b395 + 
    11484*b163*b396 + 10092*b163*b397 + 5220*b163*b398 + 3952*b163*b399 + 10792
    *b163*b400 + 5320*b163*b401 + 6232*b163*b402 + 13832*b163*b403 + 8512*b163*
    b404 + 3344*b163*b406 + 8664*b163*b407 + 9576*b163*b408 + 912*b163*b409 + 
    9424*b163*b411 + 6232*b163*b412 + 9424*b163*b413 + 3800*b163*b414 + 11400*
    b163*b415 + 11552*b163*b416 + 6080*b163*b417 + 10032*b163*b418 + 8816*b163*
    b419 + 4560*b163*b420 + 3692*b163*b421 + 10082*b163*b422 + 4970*b163*b423
     + 5822*b163*b424 + 12922*b163*b425 + 7952*b163*b426 + 3124*b163*b428 + 
    8094*b163*b429 + 8946*b163*b430 + 852*b163*b431 + 8804*b163*b433 + 5822*
    b163*b434 + 8804*b163*b435 + 3550*b163*b436 + 10650*b163*b437 + 10792*b163*
    b438 + 5680*b163*b439 + 9372*b163*b440 + 8236*b163*b441 + 4260*b163*b442 + 
    2444*b163*b443 + 6674*b163*b444 + 3290*b163*b445 + 3854*b163*b446 + 8554*
    b163*b447 + 5264*b163*b448 + 2068*b163*b450 + 5358*b163*b451 + 5922*b163*
    b452 + 564*b163*b453 + 5828*b163*b455 + 3854*b163*b456 + 5828*b163*b457 + 
    2350*b163*b458 + 7050*b163*b459 + 7144*b163*b460 + 3760*b163*b461 + 6204*
    b163*b462 + 5452*b163*b463 + 2820*b163*b464 + 2444*b163*b465 + 6674*b163*
    b466 + 3290*b163*b467 + 3854*b163*b468 + 8554*b163*b469 + 5264*b163*b470 + 
    2068*b163*b472 + 5358*b163*b473 + 5922*b163*b474 + 564*b163*b475 + 5828*
    b163*b477 + 3854*b163*b478 + 5828*b163*b479 + 2350*b163*b480 + 7050*b163*
    b481 + 7144*b163*b482 + 3760*b163*b483 + 6204*b163*b484 + 5452*b163*b485 + 
    2820*b163*b486 + 468*b163*b487 + 1278*b163*b488 + 630*b163*b489 + 738*b163*
    b490 + 1638*b163*b491 + 1008*b163*b492 + 396*b163*b494 + 1026*b163*b495 + 
    1134*b163*b496 + 108*b163*b497 + 1116*b163*b499 + 738*b163*b500 + 1116*b163
    *b501 + 450*b163*b502 + 1350*b163*b503 + 1368*b163*b504 + 720*b163*b505 + 
    1188*b163*b506 + 1044*b163*b507 + 540*b163*b508 + 3692*b163*b509 + 10082*
    b163*b510 + 4970*b163*b511 + 5822*b163*b512 + 12922*b163*b513 + 7952*b163*
    b514 + 3124*b163*b516 + 8094*b163*b517 + 8946*b163*b518 + 852*b163*b519 + 
    8804*b163*b521 + 5822*b163*b522 + 8804*b163*b523 + 3550*b163*b524 + 10650*
    b163*b525 + 10792*b163*b526 + 5680*b163*b527 + 9372*b163*b528 + 8236*b163*
    b529 + 4260*b163*b530 + 1000*b163*b531 + 1840*b163*b532 + 2720*b163*b533 + 
    3550*b163*b534 + 6532*b163*b535 + 9656*b163*b536 + 3500*b163*b537 + 6440*
    b163*b538 + 9520*b163*b539 + 1600*b163*b540 + 2944*b163*b541 + 4352*b163*
    b542 + 3550*b163*b543 + 6532*b163*b544 + 9656*b163*b545 + 1650*b163*b546 + 
    3036*b163*b547 + 4488*b163*b548 + 2150*b163*b552 + 3956*b163*b553 + 5848*
    b163*b554 + 4700*b163*b555 + 8648*b163*b556 + 12784*b163*b557 + 1450*b163*
    b558 + 2668*b163*b559 + 3944*b163*b560 + 3200*b163*b561 + 5888*b163*b562 + 
    8704*b163*b563 + 4850*b163*b564 + 8924*b163*b565 + 13192*b163*b566 + 1900*
    b163*b567 + 3496*b163*b568 + 5168*b163*b569 + 600*b163*b570 + 1104*b163*
    b571 + 1632*b163*b572 + 4950*b163*b573 + 9108*b163*b574 + 13464*b163*b575
     + 2550*b163*b576 + 4692*b163*b577 + 6936*b163*b578 + 4350*b163*b579 + 8004
    *b163*b580 + 11832*b163*b581 + 3800*b163*b582 + 6992*b163*b583 + 10336*b163
    *b584 + 3550*b163*b585 + 6532*b163*b586 + 9656*b163*b587 + 2350*b163*b588
     + 4324*b163*b589 + 6392*b163*b590 + 2350*b163*b591 + 4324*b163*b592 + 6392
    *b163*b593 + 450*b163*b594 + 828*b163*b595 + 1224*b163*b596 + 3550*b163*
    b597 + 6532*b163*b598 + 9656*b163*b599 + 7100*b163*b600 + 3500*b163*b601 + 
    4100*b163*b602 + 9100*b163*b603 + 5600*b163*b604 + 2200*b163*b606 + 5700*
    b163*b607 + 6300*b163*b608 + 600*b163*b609 + 6200*b163*b611 + 4100*b163*
    b612 + 6200*b163*b613 + 4600*b163*b614 + 2500*b163*b615 + 7500*b163*b616 + 
    7600*b163*b617 + 4000*b163*b618 + 6600*b163*b619 + 5800*b163*b620 + 3000*
    b163*b621 + 6800*b163*b622 + 2600*b163*b623 + 3500*b163*b624 + 6440*b163*
    b625 + 9520*b163*b626 + 5934*b164*b179 + 688*b164*b180 + 946*b164*b181 + 
    1290*b164*b182 + 1118*b164*b183 + 172*b164*b184 + 1892*b164*b185 + 6708*
    b164*b187 + 7826*b164*b188 + 1118*b164*b189 + 5074*b164*b190 + 4214*b164*
    b191 + 7310*b164*b192 + 7224*b164*b193 + 3268*b164*b194 + 3526*b164*b195 + 
    4816*b164*b196 + 3354*b164*b197 + 4558*b164*b198 + 6622*b164*b199 + 4300*
    b164*b200 + 12972*b164*b201 + 1504*b164*b202 + 2068*b164*b203 + 2820*b164*
    b204 + 2444*b164*b205 + 376*b164*b206 + 4136*b164*b207 + 14664*b164*b209 + 
    17108*b164*b210 + 2444*b164*b211 + 11092*b164*b212 + 9212*b164*b213 + 15980
    *b164*b214 + 15792*b164*b215 + 7144*b164*b216 + 7708*b164*b217 + 10528*b164
    *b218 + 7332*b164*b219 + 9964*b164*b220 + 14476*b164*b221 + 9400*b164*b222
     + 4002*b164*b223 + 464*b164*b224 + 638*b164*b225 + 870*b164*b226 + 754*
    b164*b227 + 116*b164*b228 + 1276*b164*b229 + 4524*b164*b231 + 5278*b164*
    b232 + 754*b164*b233 + 3422*b164*b234 + 2842*b164*b235 + 4930*b164*b236 + 
    4872*b164*b237 + 2204*b164*b238 + 2378*b164*b239 + 3248*b164*b240 + 2262*
    b164*b241 + 3074*b164*b242 + 4466*b164*b243 + 2900*b164*b244 + 8832*b164*
    b245 + 1024*b164*b246 + 1408*b164*b247 + 1920*b164*b248 + 1664*b164*b249 + 
    256*b164*b250 + 2816*b164*b251 + 9984*b164*b253 + 11648*b164*b254 + 1664*
    b164*b255 + 7552*b164*b256 + 6272*b164*b257 + 10880*b164*b258 + 10752*b164*
    b259 + 4864*b164*b260 + 5248*b164*b261 + 7168*b164*b262 + 4992*b164*b263 + 
    6784*b164*b264 + 9856*b164*b265 + 6400*b164*b266 + 13386*b164*b267 + 1552*
    b164*b268 + 2134*b164*b269 + 2910*b164*b270 + 2522*b164*b271 + 388*b164*
    b272 + 4268*b164*b273 + 15132*b164*b275 + 17654*b164*b276 + 2522*b164*b277
     + 11446*b164*b278 + 9506*b164*b279 + 16490*b164*b280 + 16296*b164*b281 + 
    7372*b164*b282 + 7954*b164*b283 + 10864*b164*b284 + 7566*b164*b285 + 10282*
    b164*b286 + 14938*b164*b287 + 9700*b164*b288 + 5244*b164*b289 + 608*b164*
    b290 + 836*b164*b291 + 1140*b164*b292 + 988*b164*b293 + 152*b164*b294 + 
    1672*b164*b295 + 5928*b164*b297 + 6916*b164*b298 + 988*b164*b299 + 4484*
    b164*b300 + 3724*b164*b301 + 6460*b164*b302 + 6384*b164*b303 + 2888*b164*
    b304 + 3116*b164*b305 + 4256*b164*b306 + 2964*b164*b307 + 4028*b164*b308 + 
    5852*b164*b309 + 3800*b164*b310 + 1656*b164*b311 + 192*b164*b312 + 264*b164
    *b313 + 360*b164*b314 + 312*b164*b315 + 48*b164*b316 + 528*b164*b317 + 1872
    *b164*b319 + 2184*b164*b320 + 312*b164*b321 + 1416*b164*b322 + 1176*b164*
    b323 + 2040*b164*b324 + 2016*b164*b325 + 912*b164*b326 + 984*b164*b327 + 
    1344*b164*b328 + 936*b164*b329 + 1272*b164*b330 + 1848*b164*b331 + 1200*
    b164*b332 + 13662*b164*b333 + 1584*b164*b334 + 2178*b164*b335 + 2970*b164*
    b336 + 2574*b164*b337 + 396*b164*b338 + 4356*b164*b339 + 15444*b164*b341 + 
    18018*b164*b342 + 2574*b164*b343 + 11682*b164*b344 + 9702*b164*b345 + 16830
    *b164*b346 + 16632*b164*b347 + 7524*b164*b348 + 8118*b164*b349 + 11088*b164
    *b350 + 7722*b164*b351 + 10494*b164*b352 + 15246*b164*b353 + 9900*b164*b354
     + 7038*b164*b355 + 816*b164*b356 + 1122*b164*b357 + 1530*b164*b358 + 1326*
    b164*b359 + 204*b164*b360 + 2244*b164*b361 + 7956*b164*b363 + 9282*b164*
    b364 + 1326*b164*b365 + 6018*b164*b366 + 4998*b164*b367 + 8670*b164*b368 + 
    8568*b164*b369 + 3876*b164*b370 + 4182*b164*b371 + 5712*b164*b372 + 3978*
    b164*b373 + 5406*b164*b374 + 7854*b164*b375 + 5100*b164*b376 + 12006*b164*
    b377 + 1392*b164*b378 + 1914*b164*b379 + 2610*b164*b380 + 2262*b164*b381 + 
    348*b164*b382 + 3828*b164*b383 + 13572*b164*b385 + 15834*b164*b386 + 2262*
    b164*b387 + 10266*b164*b388 + 8526*b164*b389 + 14790*b164*b390 + 14616*b164
    *b391 + 6612*b164*b392 + 7134*b164*b393 + 9744*b164*b394 + 6786*b164*b395
     + 9222*b164*b396 + 13398*b164*b397 + 8700*b164*b398 + 10488*b164*b399 + 
    1216*b164*b400 + 1672*b164*b401 + 2280*b164*b402 + 1976*b164*b403 + 304*
    b164*b404 + 3344*b164*b405 + 11856*b164*b407 + 13832*b164*b408 + 1976*b164*
    b409 + 8968*b164*b410 + 7448*b164*b411 + 12920*b164*b412 + 12768*b164*b413
     + 5776*b164*b414 + 6232*b164*b415 + 8512*b164*b416 + 5928*b164*b417 + 8056
    *b164*b418 + 11704*b164*b419 + 7600*b164*b420 + 9798*b164*b421 + 1136*b164*
    b422 + 1562*b164*b423 + 2130*b164*b424 + 1846*b164*b425 + 284*b164*b426 + 
    3124*b164*b427 + 11076*b164*b429 + 12922*b164*b430 + 1846*b164*b431 + 8378*
    b164*b432 + 6958*b164*b433 + 12070*b164*b434 + 11928*b164*b435 + 5396*b164*
    b436 + 5822*b164*b437 + 7952*b164*b438 + 5538*b164*b439 + 7526*b164*b440 + 
    10934*b164*b441 + 7100*b164*b442 + 6486*b164*b443 + 752*b164*b444 + 1034*
    b164*b445 + 1410*b164*b446 + 1222*b164*b447 + 188*b164*b448 + 2068*b164*
    b449 + 7332*b164*b451 + 8554*b164*b452 + 1222*b164*b453 + 5546*b164*b454 + 
    4606*b164*b455 + 7990*b164*b456 + 7896*b164*b457 + 3572*b164*b458 + 3854*
    b164*b459 + 5264*b164*b460 + 3666*b164*b461 + 4982*b164*b462 + 7238*b164*
    b463 + 4700*b164*b464 + 6486*b164*b465 + 752*b164*b466 + 1034*b164*b467 + 
    1410*b164*b468 + 1222*b164*b469 + 188*b164*b470 + 2068*b164*b471 + 7332*
    b164*b473 + 8554*b164*b474 + 1222*b164*b475 + 5546*b164*b476 + 4606*b164*
    b477 + 7990*b164*b478 + 7896*b164*b479 + 3572*b164*b480 + 3854*b164*b481 + 
    5264*b164*b482 + 3666*b164*b483 + 4982*b164*b484 + 7238*b164*b485 + 4700*
    b164*b486 + 1242*b164*b487 + 144*b164*b488 + 198*b164*b489 + 270*b164*b490
     + 234*b164*b491 + 36*b164*b492 + 396*b164*b493 + 1404*b164*b495 + 1638*
    b164*b496 + 234*b164*b497 + 1062*b164*b498 + 882*b164*b499 + 1530*b164*b500
     + 1512*b164*b501 + 684*b164*b502 + 738*b164*b503 + 1008*b164*b504 + 702*
    b164*b505 + 954*b164*b506 + 1386*b164*b507 + 900*b164*b508 + 9798*b164*b509
     + 1136*b164*b510 + 1562*b164*b511 + 2130*b164*b512 + 1846*b164*b513 + 284*
    b164*b514 + 3124*b164*b515 + 11076*b164*b517 + 12922*b164*b518 + 1846*b164*
    b519 + 8378*b164*b520 + 6958*b164*b521 + 12070*b164*b522 + 11928*b164*b523
     + 5396*b164*b524 + 5822*b164*b525 + 7952*b164*b526 + 5538*b164*b527 + 7526
    *b164*b528 + 10934*b164*b529 + 7100*b164*b530 + 400*b164*b531 + 320*b164*
    b532 + 1200*b164*b533 + 1420*b164*b534 + 1136*b164*b535 + 4260*b164*b536 + 
    1400*b164*b537 + 1120*b164*b538 + 4200*b164*b539 + 640*b164*b540 + 512*b164
    *b541 + 1920*b164*b542 + 1420*b164*b543 + 1136*b164*b544 + 4260*b164*b545
     + 660*b164*b546 + 528*b164*b547 + 1980*b164*b548 + 860*b164*b552 + 688*
    b164*b553 + 2580*b164*b554 + 1880*b164*b555 + 1504*b164*b556 + 5640*b164*
    b557 + 580*b164*b558 + 464*b164*b559 + 1740*b164*b560 + 1280*b164*b561 + 
    1024*b164*b562 + 3840*b164*b563 + 1940*b164*b564 + 1552*b164*b565 + 5820*
    b164*b566 + 760*b164*b567 + 608*b164*b568 + 2280*b164*b569 + 240*b164*b570
     + 192*b164*b571 + 720*b164*b572 + 1980*b164*b573 + 1584*b164*b574 + 5940*
    b164*b575 + 1020*b164*b576 + 816*b164*b577 + 3060*b164*b578 + 1740*b164*
    b579 + 1392*b164*b580 + 5220*b164*b581 + 1520*b164*b582 + 1216*b164*b583 + 
    4560*b164*b584 + 1420*b164*b585 + 1136*b164*b586 + 4260*b164*b587 + 940*
    b164*b588 + 752*b164*b589 + 2820*b164*b590 + 940*b164*b591 + 752*b164*b592
     + 2820*b164*b593 + 180*b164*b594 + 144*b164*b595 + 540*b164*b596 + 1420*
    b164*b597 + 1136*b164*b598 + 4260*b164*b599 + 800*b164*b600 + 1100*b164*
    b601 + 1500*b164*b602 + 1300*b164*b603 + 200*b164*b604 + 2200*b164*b605 + 
    7800*b164*b607 + 9100*b164*b608 + 1300*b164*b609 + 5900*b164*b610 + 4900*
    b164*b611 + 8500*b164*b612 + 8400*b164*b613 + 800*b164*b614 + 3800*b164*
    b615 + 4100*b164*b616 + 5600*b164*b617 + 3900*b164*b618 + 5300*b164*b619 + 
    7700*b164*b620 + 5000*b164*b621 + 3000*b164*b622 + 6900*b164*b623 + 1400*
    b164*b624 + 1120*b164*b625 + 4200*b164*b626 + 4816*b165*b179 + 6622*b165*
    b180 + 1720*b165*b181 + 7138*b165*b182 + 2494*b165*b183 + 5160*b165*b184 + 
    4902*b165*b185 + 6708*b165*b186 + 4988*b165*b188 + 4730*b165*b189 + 1634*
    b165*b190 + 7310*b165*b191 + 4472*b165*b192 + 2924*b165*b193 + 3440*b165*
    b194 + 5934*b165*b195 + 1032*b165*b196 + 7310*b165*b197 + 6192*b165*b198 + 
    602*b165*b199 + 4214*b165*b200 + 10528*b165*b201 + 14476*b165*b202 + 3760*
    b165*b203 + 15604*b165*b204 + 5452*b165*b205 + 11280*b165*b206 + 10716*b165
    *b207 + 14664*b165*b208 + 10904*b165*b210 + 10340*b165*b211 + 3572*b165*
    b212 + 15980*b165*b213 + 9776*b165*b214 + 6392*b165*b215 + 7520*b165*b216
     + 12972*b165*b217 + 2256*b165*b218 + 15980*b165*b219 + 13536*b165*b220 + 
    1316*b165*b221 + 9212*b165*b222 + 3248*b165*b223 + 4466*b165*b224 + 1160*
    b165*b225 + 4814*b165*b226 + 1682*b165*b227 + 3480*b165*b228 + 3306*b165*
    b229 + 4524*b165*b230 + 3364*b165*b232 + 3190*b165*b233 + 1102*b165*b234 + 
    4930*b165*b235 + 3016*b165*b236 + 1972*b165*b237 + 2320*b165*b238 + 4002*
    b165*b239 + 696*b165*b240 + 4930*b165*b241 + 4176*b165*b242 + 406*b165*b243
     + 2842*b165*b244 + 7168*b165*b245 + 9856*b165*b246 + 2560*b165*b247 + 
    10624*b165*b248 + 3712*b165*b249 + 7680*b165*b250 + 7296*b165*b251 + 9984*
    b165*b252 + 7424*b165*b254 + 7040*b165*b255 + 2432*b165*b256 + 10880*b165*
    b257 + 6656*b165*b258 + 4352*b165*b259 + 5120*b165*b260 + 8832*b165*b261 + 
    1536*b165*b262 + 10880*b165*b263 + 9216*b165*b264 + 896*b165*b265 + 6272*
    b165*b266 + 10864*b165*b267 + 14938*b165*b268 + 3880*b165*b269 + 16102*b165
    *b270 + 5626*b165*b271 + 11640*b165*b272 + 11058*b165*b273 + 15132*b165*
    b274 + 11252*b165*b276 + 10670*b165*b277 + 3686*b165*b278 + 16490*b165*b279
     + 10088*b165*b280 + 6596*b165*b281 + 7760*b165*b282 + 13386*b165*b283 + 
    2328*b165*b284 + 16490*b165*b285 + 13968*b165*b286 + 1358*b165*b287 + 9506*
    b165*b288 + 4256*b165*b289 + 5852*b165*b290 + 1520*b165*b291 + 6308*b165*
    b292 + 2204*b165*b293 + 4560*b165*b294 + 4332*b165*b295 + 5928*b165*b296 + 
    4408*b165*b298 + 4180*b165*b299 + 1444*b165*b300 + 6460*b165*b301 + 3952*
    b165*b302 + 2584*b165*b303 + 3040*b165*b304 + 5244*b165*b305 + 912*b165*
    b306 + 6460*b165*b307 + 5472*b165*b308 + 532*b165*b309 + 3724*b165*b310 + 
    1344*b165*b311 + 1848*b165*b312 + 480*b165*b313 + 1992*b165*b314 + 696*b165
    *b315 + 1440*b165*b316 + 1368*b165*b317 + 1872*b165*b318 + 1392*b165*b320
     + 1320*b165*b321 + 456*b165*b322 + 2040*b165*b323 + 1248*b165*b324 + 816*
    b165*b325 + 960*b165*b326 + 1656*b165*b327 + 288*b165*b328 + 2040*b165*b329
     + 1728*b165*b330 + 168*b165*b331 + 1176*b165*b332 + 11088*b165*b333 + 
    15246*b165*b334 + 3960*b165*b335 + 16434*b165*b336 + 5742*b165*b337 + 11880
    *b165*b338 + 11286*b165*b339 + 15444*b165*b340 + 11484*b165*b342 + 10890*
    b165*b343 + 3762*b165*b344 + 16830*b165*b345 + 10296*b165*b346 + 6732*b165*
    b347 + 7920*b165*b348 + 13662*b165*b349 + 2376*b165*b350 + 16830*b165*b351
     + 14256*b165*b352 + 1386*b165*b353 + 9702*b165*b354 + 5712*b165*b355 + 
    7854*b165*b356 + 2040*b165*b357 + 8466*b165*b358 + 2958*b165*b359 + 6120*
    b165*b360 + 5814*b165*b361 + 7956*b165*b362 + 5916*b165*b364 + 5610*b165*
    b365 + 1938*b165*b366 + 8670*b165*b367 + 5304*b165*b368 + 3468*b165*b369 + 
    4080*b165*b370 + 7038*b165*b371 + 1224*b165*b372 + 8670*b165*b373 + 7344*
    b165*b374 + 714*b165*b375 + 4998*b165*b376 + 9744*b165*b377 + 13398*b165*
    b378 + 3480*b165*b379 + 14442*b165*b380 + 5046*b165*b381 + 10440*b165*b382
     + 9918*b165*b383 + 13572*b165*b384 + 10092*b165*b386 + 9570*b165*b387 + 
    3306*b165*b388 + 14790*b165*b389 + 9048*b165*b390 + 5916*b165*b391 + 6960*
    b165*b392 + 12006*b165*b393 + 2088*b165*b394 + 14790*b165*b395 + 12528*b165
    *b396 + 1218*b165*b397 + 8526*b165*b398 + 8512*b165*b399 + 11704*b165*b400
     + 3040*b165*b401 + 12616*b165*b402 + 4408*b165*b403 + 9120*b165*b404 + 
    8664*b165*b405 + 11856*b165*b406 + 8816*b165*b408 + 8360*b165*b409 + 2888*
    b165*b410 + 12920*b165*b411 + 7904*b165*b412 + 5168*b165*b413 + 6080*b165*
    b414 + 10488*b165*b415 + 1824*b165*b416 + 12920*b165*b417 + 10944*b165*b418
     + 1064*b165*b419 + 7448*b165*b420 + 7952*b165*b421 + 10934*b165*b422 + 
    2840*b165*b423 + 11786*b165*b424 + 4118*b165*b425 + 8520*b165*b426 + 8094*
    b165*b427 + 11076*b165*b428 + 8236*b165*b430 + 7810*b165*b431 + 2698*b165*
    b432 + 12070*b165*b433 + 7384*b165*b434 + 4828*b165*b435 + 5680*b165*b436
     + 9798*b165*b437 + 1704*b165*b438 + 12070*b165*b439 + 10224*b165*b440 + 
    994*b165*b441 + 6958*b165*b442 + 5264*b165*b443 + 7238*b165*b444 + 1880*
    b165*b445 + 7802*b165*b446 + 2726*b165*b447 + 5640*b165*b448 + 5358*b165*
    b449 + 7332*b165*b450 + 5452*b165*b452 + 5170*b165*b453 + 1786*b165*b454 + 
    7990*b165*b455 + 4888*b165*b456 + 3196*b165*b457 + 3760*b165*b458 + 6486*
    b165*b459 + 1128*b165*b460 + 7990*b165*b461 + 6768*b165*b462 + 658*b165*
    b463 + 4606*b165*b464 + 5264*b165*b465 + 7238*b165*b466 + 1880*b165*b467 + 
    7802*b165*b468 + 2726*b165*b469 + 5640*b165*b470 + 5358*b165*b471 + 7332*
    b165*b472 + 5452*b165*b474 + 5170*b165*b475 + 1786*b165*b476 + 7990*b165*
    b477 + 4888*b165*b478 + 3196*b165*b479 + 3760*b165*b480 + 6486*b165*b481 + 
    1128*b165*b482 + 7990*b165*b483 + 6768*b165*b484 + 658*b165*b485 + 4606*
    b165*b486 + 1008*b165*b487 + 1386*b165*b488 + 360*b165*b489 + 1494*b165*
    b490 + 522*b165*b491 + 1080*b165*b492 + 1026*b165*b493 + 1404*b165*b494 + 
    1044*b165*b496 + 990*b165*b497 + 342*b165*b498 + 1530*b165*b499 + 936*b165*
    b500 + 612*b165*b501 + 720*b165*b502 + 1242*b165*b503 + 216*b165*b504 + 
    1530*b165*b505 + 1296*b165*b506 + 126*b165*b507 + 882*b165*b508 + 7952*b165
    *b509 + 10934*b165*b510 + 2840*b165*b511 + 11786*b165*b512 + 4118*b165*b513
     + 8520*b165*b514 + 8094*b165*b515 + 11076*b165*b516 + 8236*b165*b518 + 
    7810*b165*b519 + 2698*b165*b520 + 12070*b165*b521 + 7384*b165*b522 + 4828*
    b165*b523 + 5680*b165*b524 + 9798*b165*b525 + 1704*b165*b526 + 12070*b165*
    b527 + 10224*b165*b528 + 994*b165*b529 + 6958*b165*b530 + 160*b165*b531 + 
    2120*b165*b532 + 1840*b165*b533 + 568*b165*b534 + 7526*b165*b535 + 6532*
    b165*b536 + 560*b165*b537 + 7420*b165*b538 + 6440*b165*b539 + 256*b165*b540
     + 3392*b165*b541 + 2944*b165*b542 + 568*b165*b543 + 7526*b165*b544 + 6532*
    b165*b545 + 264*b165*b546 + 3498*b165*b547 + 3036*b165*b548 + 344*b165*b552
     + 4558*b165*b553 + 3956*b165*b554 + 752*b165*b555 + 9964*b165*b556 + 8648*
    b165*b557 + 232*b165*b558 + 3074*b165*b559 + 2668*b165*b560 + 512*b165*b561
     + 6784*b165*b562 + 5888*b165*b563 + 776*b165*b564 + 10282*b165*b565 + 8924
    *b165*b566 + 304*b165*b567 + 4028*b165*b568 + 3496*b165*b569 + 96*b165*b570
     + 1272*b165*b571 + 1104*b165*b572 + 792*b165*b573 + 10494*b165*b574 + 9108
    *b165*b575 + 408*b165*b576 + 5406*b165*b577 + 4692*b165*b578 + 696*b165*
    b579 + 9222*b165*b580 + 8004*b165*b581 + 608*b165*b582 + 8056*b165*b583 + 
    6992*b165*b584 + 568*b165*b585 + 7526*b165*b586 + 6532*b165*b587 + 376*b165
    *b588 + 4982*b165*b589 + 4324*b165*b590 + 376*b165*b591 + 4982*b165*b592 + 
    4324*b165*b593 + 72*b165*b594 + 954*b165*b595 + 828*b165*b596 + 568*b165*
    b597 + 7526*b165*b598 + 6532*b165*b599 + 7700*b165*b600 + 2000*b165*b601 + 
    8300*b165*b602 + 2900*b165*b603 + 6000*b165*b604 + 5700*b165*b605 + 7800*
    b165*b606 + 5800*b165*b608 + 5500*b165*b609 + 1900*b165*b610 + 8500*b165*
    b611 + 5200*b165*b612 + 3400*b165*b613 + 5300*b165*b614 + 4000*b165*b615 + 
    6900*b165*b616 + 1200*b165*b617 + 8500*b165*b618 + 7200*b165*b619 + 700*
    b165*b620 + 4900*b165*b621 + 4600*b165*b622 + 5600*b165*b623 + 560*b165*
    b624 + 7420*b165*b625 + 6440*b165*b626 + 7396*b166*b179 + 6364*b166*b180 + 
    1806*b166*b181 + 8256*b166*b182 + 946*b166*b183 + 6192*b166*b184 + 5418*
    b166*b185 + 7826*b166*b186 + 4988*b166*b187 + 7482*b166*b189 + 4988*b166*
    b190 + 1462*b166*b191 + 5848*b166*b192 + 2322*b166*b193 + 516*b166*b194 + 
    5762*b166*b195 + 2236*b166*b196 + 7052*b166*b197 + 3784*b166*b198 + 3010*
    b166*b199 + 258*b166*b200 + 16168*b166*b201 + 13912*b166*b202 + 3948*b166*
    b203 + 18048*b166*b204 + 2068*b166*b205 + 13536*b166*b206 + 11844*b166*b207
     + 17108*b166*b208 + 10904*b166*b209 + 16356*b166*b211 + 10904*b166*b212 + 
    3196*b166*b213 + 12784*b166*b214 + 5076*b166*b215 + 1128*b166*b216 + 12596*
    b166*b217 + 4888*b166*b218 + 15416*b166*b219 + 8272*b166*b220 + 6580*b166*
    b221 + 564*b166*b222 + 4988*b166*b223 + 4292*b166*b224 + 1218*b166*b225 + 
    5568*b166*b226 + 638*b166*b227 + 4176*b166*b228 + 3654*b166*b229 + 5278*
    b166*b230 + 3364*b166*b231 + 5046*b166*b233 + 3364*b166*b234 + 986*b166*
    b235 + 3944*b166*b236 + 1566*b166*b237 + 348*b166*b238 + 3886*b166*b239 + 
    1508*b166*b240 + 4756*b166*b241 + 2552*b166*b242 + 2030*b166*b243 + 174*
    b166*b244 + 11008*b166*b245 + 9472*b166*b246 + 2688*b166*b247 + 12288*b166*
    b248 + 1408*b166*b249 + 9216*b166*b250 + 8064*b166*b251 + 11648*b166*b252
     + 7424*b166*b253 + 11136*b166*b255 + 7424*b166*b256 + 2176*b166*b257 + 
    8704*b166*b258 + 3456*b166*b259 + 768*b166*b260 + 8576*b166*b261 + 3328*
    b166*b262 + 10496*b166*b263 + 5632*b166*b264 + 4480*b166*b265 + 384*b166*
    b266 + 16684*b166*b267 + 14356*b166*b268 + 4074*b166*b269 + 18624*b166*b270
     + 2134*b166*b271 + 13968*b166*b272 + 12222*b166*b273 + 17654*b166*b274 + 
    11252*b166*b275 + 16878*b166*b277 + 11252*b166*b278 + 3298*b166*b279 + 
    13192*b166*b280 + 5238*b166*b281 + 1164*b166*b282 + 12998*b166*b283 + 5044*
    b166*b284 + 15908*b166*b285 + 8536*b166*b286 + 6790*b166*b287 + 582*b166*
    b288 + 6536*b166*b289 + 5624*b166*b290 + 1596*b166*b291 + 7296*b166*b292 + 
    836*b166*b293 + 5472*b166*b294 + 4788*b166*b295 + 6916*b166*b296 + 4408*
    b166*b297 + 6612*b166*b299 + 4408*b166*b300 + 1292*b166*b301 + 5168*b166*
    b302 + 2052*b166*b303 + 456*b166*b304 + 5092*b166*b305 + 1976*b166*b306 + 
    6232*b166*b307 + 3344*b166*b308 + 2660*b166*b309 + 228*b166*b310 + 2064*
    b166*b311 + 1776*b166*b312 + 504*b166*b313 + 2304*b166*b314 + 264*b166*b315
     + 1728*b166*b316 + 1512*b166*b317 + 2184*b166*b318 + 1392*b166*b319 + 2088
    *b166*b321 + 1392*b166*b322 + 408*b166*b323 + 1632*b166*b324 + 648*b166*
    b325 + 144*b166*b326 + 1608*b166*b327 + 624*b166*b328 + 1968*b166*b329 + 
    1056*b166*b330 + 840*b166*b331 + 72*b166*b332 + 17028*b166*b333 + 14652*
    b166*b334 + 4158*b166*b335 + 19008*b166*b336 + 2178*b166*b337 + 14256*b166*
    b338 + 12474*b166*b339 + 18018*b166*b340 + 11484*b166*b341 + 17226*b166*
    b343 + 11484*b166*b344 + 3366*b166*b345 + 13464*b166*b346 + 5346*b166*b347
     + 1188*b166*b348 + 13266*b166*b349 + 5148*b166*b350 + 16236*b166*b351 + 
    8712*b166*b352 + 6930*b166*b353 + 594*b166*b354 + 8772*b166*b355 + 7548*
    b166*b356 + 2142*b166*b357 + 9792*b166*b358 + 1122*b166*b359 + 7344*b166*
    b360 + 6426*b166*b361 + 9282*b166*b362 + 5916*b166*b363 + 8874*b166*b365 + 
    5916*b166*b366 + 1734*b166*b367 + 6936*b166*b368 + 2754*b166*b369 + 612*
    b166*b370 + 6834*b166*b371 + 2652*b166*b372 + 8364*b166*b373 + 4488*b166*
    b374 + 3570*b166*b375 + 306*b166*b376 + 14964*b166*b377 + 12876*b166*b378
     + 3654*b166*b379 + 16704*b166*b380 + 1914*b166*b381 + 12528*b166*b382 + 
    10962*b166*b383 + 15834*b166*b384 + 10092*b166*b385 + 15138*b166*b387 + 
    10092*b166*b388 + 2958*b166*b389 + 11832*b166*b390 + 4698*b166*b391 + 1044*
    b166*b392 + 11658*b166*b393 + 4524*b166*b394 + 14268*b166*b395 + 7656*b166*
    b396 + 6090*b166*b397 + 522*b166*b398 + 13072*b166*b399 + 11248*b166*b400
     + 3192*b166*b401 + 14592*b166*b402 + 1672*b166*b403 + 10944*b166*b404 + 
    9576*b166*b405 + 13832*b166*b406 + 8816*b166*b407 + 13224*b166*b409 + 8816*
    b166*b410 + 2584*b166*b411 + 10336*b166*b412 + 4104*b166*b413 + 912*b166*
    b414 + 10184*b166*b415 + 3952*b166*b416 + 12464*b166*b417 + 6688*b166*b418
     + 5320*b166*b419 + 456*b166*b420 + 12212*b166*b421 + 10508*b166*b422 + 
    2982*b166*b423 + 13632*b166*b424 + 1562*b166*b425 + 10224*b166*b426 + 8946*
    b166*b427 + 12922*b166*b428 + 8236*b166*b429 + 12354*b166*b431 + 8236*b166*
    b432 + 2414*b166*b433 + 9656*b166*b434 + 3834*b166*b435 + 852*b166*b436 + 
    9514*b166*b437 + 3692*b166*b438 + 11644*b166*b439 + 6248*b166*b440 + 4970*
    b166*b441 + 426*b166*b442 + 8084*b166*b443 + 6956*b166*b444 + 1974*b166*
    b445 + 9024*b166*b446 + 1034*b166*b447 + 6768*b166*b448 + 5922*b166*b449 + 
    8554*b166*b450 + 5452*b166*b451 + 8178*b166*b453 + 5452*b166*b454 + 1598*
    b166*b455 + 6392*b166*b456 + 2538*b166*b457 + 564*b166*b458 + 6298*b166*
    b459 + 2444*b166*b460 + 7708*b166*b461 + 4136*b166*b462 + 3290*b166*b463 + 
    282*b166*b464 + 8084*b166*b465 + 6956*b166*b466 + 1974*b166*b467 + 9024*
    b166*b468 + 1034*b166*b469 + 6768*b166*b470 + 5922*b166*b471 + 8554*b166*
    b472 + 5452*b166*b473 + 8178*b166*b475 + 5452*b166*b476 + 1598*b166*b477 + 
    6392*b166*b478 + 2538*b166*b479 + 564*b166*b480 + 6298*b166*b481 + 2444*
    b166*b482 + 7708*b166*b483 + 4136*b166*b484 + 3290*b166*b485 + 282*b166*
    b486 + 1548*b166*b487 + 1332*b166*b488 + 378*b166*b489 + 1728*b166*b490 + 
    198*b166*b491 + 1296*b166*b492 + 1134*b166*b493 + 1638*b166*b494 + 1044*
    b166*b495 + 1566*b166*b497 + 1044*b166*b498 + 306*b166*b499 + 1224*b166*
    b500 + 486*b166*b501 + 108*b166*b502 + 1206*b166*b503 + 468*b166*b504 + 
    1476*b166*b505 + 792*b166*b506 + 630*b166*b507 + 54*b166*b508 + 12212*b166*
    b509 + 10508*b166*b510 + 2982*b166*b511 + 13632*b166*b512 + 1562*b166*b513
     + 10224*b166*b514 + 8946*b166*b515 + 12922*b166*b516 + 8236*b166*b517 + 
    12354*b166*b519 + 8236*b166*b520 + 2414*b166*b521 + 9656*b166*b522 + 3834*
    b166*b523 + 852*b166*b524 + 9514*b166*b525 + 3692*b166*b526 + 11644*b166*
    b527 + 6248*b166*b528 + 4970*b166*b529 + 426*b166*b530 + 2520*b166*b531 + 
    840*b166*b532 + 2480*b166*b533 + 8946*b166*b534 + 2982*b166*b535 + 8804*
    b166*b536 + 8820*b166*b537 + 2940*b166*b538 + 8680*b166*b539 + 4032*b166*
    b540 + 1344*b166*b541 + 3968*b166*b542 + 8946*b166*b543 + 2982*b166*b544 + 
    8804*b166*b545 + 4158*b166*b546 + 1386*b166*b547 + 4092*b166*b548 + 5418*
    b166*b552 + 1806*b166*b553 + 5332*b166*b554 + 11844*b166*b555 + 3948*b166*
    b556 + 11656*b166*b557 + 3654*b166*b558 + 1218*b166*b559 + 3596*b166*b560
     + 8064*b166*b561 + 2688*b166*b562 + 7936*b166*b563 + 12222*b166*b564 + 
    4074*b166*b565 + 12028*b166*b566 + 4788*b166*b567 + 1596*b166*b568 + 4712*
    b166*b569 + 1512*b166*b570 + 504*b166*b571 + 1488*b166*b572 + 12474*b166*
    b573 + 4158*b166*b574 + 12276*b166*b575 + 6426*b166*b576 + 2142*b166*b577
     + 6324*b166*b578 + 10962*b166*b579 + 3654*b166*b580 + 10788*b166*b581 + 
    9576*b166*b582 + 3192*b166*b583 + 9424*b166*b584 + 8946*b166*b585 + 2982*
    b166*b586 + 8804*b166*b587 + 5922*b166*b588 + 1974*b166*b589 + 5828*b166*
    b590 + 5922*b166*b591 + 1974*b166*b592 + 5828*b166*b593 + 1134*b166*b594 + 
    378*b166*b595 + 1116*b166*b596 + 8946*b166*b597 + 2982*b166*b598 + 8804*
    b166*b599 + 7400*b166*b600 + 2100*b166*b601 + 9600*b166*b602 + 1100*b166*
    b603 + 7200*b166*b604 + 6300*b166*b605 + 9100*b166*b606 + 5800*b166*b607 + 
    8700*b166*b609 + 5800*b166*b610 + 1700*b166*b611 + 6800*b166*b612 + 2700*
    b166*b613 + 2100*b166*b614 + 600*b166*b615 + 6700*b166*b616 + 2600*b166*
    b617 + 8200*b166*b618 + 4400*b166*b619 + 3500*b166*b620 + 300*b166*b621 + 
    6200*b166*b622 + 8600*b166*b623 + 8820*b166*b624 + 2940*b166*b625 + 8680*
    b166*b626 + 3870*b167*b179 + 2580*b167*b180 + 5246*b167*b181 + 6364*b167*
    b182 + 6622*b167*b183 + 6364*b167*b184 + 516*b167*b185 + 1118*b167*b186 + 
    4730*b167*b187 + 7482*b167*b188 + 688*b167*b190 + 4386*b167*b191 + 86*b167*
    b192 + 7826*b167*b193 + 7482*b167*b194 + 6192*b167*b195 + 3870*b167*b196 + 
    8256*b167*b197 + 602*b167*b198 + 7482*b167*b199 + 5848*b167*b200 + 8460*
    b167*b201 + 5640*b167*b202 + 11468*b167*b203 + 13912*b167*b204 + 14476*b167
    *b205 + 13912*b167*b206 + 1128*b167*b207 + 2444*b167*b208 + 10340*b167*b209
     + 16356*b167*b210 + 1504*b167*b212 + 9588*b167*b213 + 188*b167*b214 + 
    17108*b167*b215 + 16356*b167*b216 + 13536*b167*b217 + 8460*b167*b218 + 
    18048*b167*b219 + 1316*b167*b220 + 16356*b167*b221 + 12784*b167*b222 + 2610
    *b167*b223 + 1740*b167*b224 + 3538*b167*b225 + 4292*b167*b226 + 4466*b167*
    b227 + 4292*b167*b228 + 348*b167*b229 + 754*b167*b230 + 3190*b167*b231 + 
    5046*b167*b232 + 464*b167*b234 + 2958*b167*b235 + 58*b167*b236 + 5278*b167*
    b237 + 5046*b167*b238 + 4176*b167*b239 + 2610*b167*b240 + 5568*b167*b241 + 
    406*b167*b242 + 5046*b167*b243 + 3944*b167*b244 + 5760*b167*b245 + 3840*
    b167*b246 + 7808*b167*b247 + 9472*b167*b248 + 9856*b167*b249 + 9472*b167*
    b250 + 768*b167*b251 + 1664*b167*b252 + 7040*b167*b253 + 11136*b167*b254 + 
    1024*b167*b256 + 6528*b167*b257 + 128*b167*b258 + 11648*b167*b259 + 11136*
    b167*b260 + 9216*b167*b261 + 5760*b167*b262 + 12288*b167*b263 + 896*b167*
    b264 + 11136*b167*b265 + 8704*b167*b266 + 8730*b167*b267 + 5820*b167*b268
     + 11834*b167*b269 + 14356*b167*b270 + 14938*b167*b271 + 14356*b167*b272 + 
    1164*b167*b273 + 2522*b167*b274 + 10670*b167*b275 + 16878*b167*b276 + 1552*
    b167*b278 + 9894*b167*b279 + 194*b167*b280 + 17654*b167*b281 + 16878*b167*
    b282 + 13968*b167*b283 + 8730*b167*b284 + 18624*b167*b285 + 1358*b167*b286
     + 16878*b167*b287 + 13192*b167*b288 + 3420*b167*b289 + 2280*b167*b290 + 
    4636*b167*b291 + 5624*b167*b292 + 5852*b167*b293 + 5624*b167*b294 + 456*
    b167*b295 + 988*b167*b296 + 4180*b167*b297 + 6612*b167*b298 + 608*b167*b300
     + 3876*b167*b301 + 76*b167*b302 + 6916*b167*b303 + 6612*b167*b304 + 5472*
    b167*b305 + 3420*b167*b306 + 7296*b167*b307 + 532*b167*b308 + 6612*b167*
    b309 + 5168*b167*b310 + 1080*b167*b311 + 720*b167*b312 + 1464*b167*b313 + 
    1776*b167*b314 + 1848*b167*b315 + 1776*b167*b316 + 144*b167*b317 + 312*b167
    *b318 + 1320*b167*b319 + 2088*b167*b320 + 192*b167*b322 + 1224*b167*b323 + 
    24*b167*b324 + 2184*b167*b325 + 2088*b167*b326 + 1728*b167*b327 + 1080*b167
    *b328 + 2304*b167*b329 + 168*b167*b330 + 2088*b167*b331 + 1632*b167*b332 + 
    8910*b167*b333 + 5940*b167*b334 + 12078*b167*b335 + 14652*b167*b336 + 15246
    *b167*b337 + 14652*b167*b338 + 1188*b167*b339 + 2574*b167*b340 + 10890*b167
    *b341 + 17226*b167*b342 + 1584*b167*b344 + 10098*b167*b345 + 198*b167*b346
     + 18018*b167*b347 + 17226*b167*b348 + 14256*b167*b349 + 8910*b167*b350 + 
    19008*b167*b351 + 1386*b167*b352 + 17226*b167*b353 + 13464*b167*b354 + 4590
    *b167*b355 + 3060*b167*b356 + 6222*b167*b357 + 7548*b167*b358 + 7854*b167*
    b359 + 7548*b167*b360 + 612*b167*b361 + 1326*b167*b362 + 5610*b167*b363 + 
    8874*b167*b364 + 816*b167*b366 + 5202*b167*b367 + 102*b167*b368 + 9282*b167
    *b369 + 8874*b167*b370 + 7344*b167*b371 + 4590*b167*b372 + 9792*b167*b373
     + 714*b167*b374 + 8874*b167*b375 + 6936*b167*b376 + 7830*b167*b377 + 5220*
    b167*b378 + 10614*b167*b379 + 12876*b167*b380 + 13398*b167*b381 + 12876*
    b167*b382 + 1044*b167*b383 + 2262*b167*b384 + 9570*b167*b385 + 15138*b167*
    b386 + 1392*b167*b388 + 8874*b167*b389 + 174*b167*b390 + 15834*b167*b391 + 
    15138*b167*b392 + 12528*b167*b393 + 7830*b167*b394 + 16704*b167*b395 + 1218
    *b167*b396 + 15138*b167*b397 + 11832*b167*b398 + 6840*b167*b399 + 4560*b167
    *b400 + 9272*b167*b401 + 11248*b167*b402 + 11704*b167*b403 + 11248*b167*
    b404 + 912*b167*b405 + 1976*b167*b406 + 8360*b167*b407 + 13224*b167*b408 + 
    1216*b167*b410 + 7752*b167*b411 + 152*b167*b412 + 13832*b167*b413 + 13224*
    b167*b414 + 10944*b167*b415 + 6840*b167*b416 + 14592*b167*b417 + 1064*b167*
    b418 + 13224*b167*b419 + 10336*b167*b420 + 6390*b167*b421 + 4260*b167*b422
     + 8662*b167*b423 + 10508*b167*b424 + 10934*b167*b425 + 10508*b167*b426 + 
    852*b167*b427 + 1846*b167*b428 + 7810*b167*b429 + 12354*b167*b430 + 1136*
    b167*b432 + 7242*b167*b433 + 142*b167*b434 + 12922*b167*b435 + 12354*b167*
    b436 + 10224*b167*b437 + 6390*b167*b438 + 13632*b167*b439 + 994*b167*b440
     + 12354*b167*b441 + 9656*b167*b442 + 4230*b167*b443 + 2820*b167*b444 + 
    5734*b167*b445 + 6956*b167*b446 + 7238*b167*b447 + 6956*b167*b448 + 564*
    b167*b449 + 1222*b167*b450 + 5170*b167*b451 + 8178*b167*b452 + 752*b167*
    b454 + 4794*b167*b455 + 94*b167*b456 + 8554*b167*b457 + 8178*b167*b458 + 
    6768*b167*b459 + 4230*b167*b460 + 9024*b167*b461 + 658*b167*b462 + 8178*
    b167*b463 + 6392*b167*b464 + 4230*b167*b465 + 2820*b167*b466 + 5734*b167*
    b467 + 6956*b167*b468 + 7238*b167*b469 + 6956*b167*b470 + 564*b167*b471 + 
    1222*b167*b472 + 5170*b167*b473 + 8178*b167*b474 + 752*b167*b476 + 4794*
    b167*b477 + 94*b167*b478 + 8554*b167*b479 + 8178*b167*b480 + 6768*b167*b481
     + 4230*b167*b482 + 9024*b167*b483 + 658*b167*b484 + 8178*b167*b485 + 6392*
    b167*b486 + 810*b167*b487 + 540*b167*b488 + 1098*b167*b489 + 1332*b167*b490
     + 1386*b167*b491 + 1332*b167*b492 + 108*b167*b493 + 234*b167*b494 + 990*
    b167*b495 + 1566*b167*b496 + 144*b167*b498 + 918*b167*b499 + 18*b167*b500
     + 1638*b167*b501 + 1566*b167*b502 + 1296*b167*b503 + 810*b167*b504 + 1728*
    b167*b505 + 126*b167*b506 + 1566*b167*b507 + 1224*b167*b508 + 6390*b167*
    b509 + 4260*b167*b510 + 8662*b167*b511 + 10508*b167*b512 + 10934*b167*b513
     + 10508*b167*b514 + 852*b167*b515 + 1846*b167*b516 + 7810*b167*b517 + 
    12354*b167*b518 + 1136*b167*b520 + 7242*b167*b521 + 142*b167*b522 + 12922*
    b167*b523 + 12354*b167*b524 + 10224*b167*b525 + 6390*b167*b526 + 13632*b167
    *b527 + 994*b167*b528 + 12354*b167*b529 + 9656*b167*b530 + 240*b167*b531 + 
    1560*b167*b532 + 1320*b167*b533 + 852*b167*b534 + 5538*b167*b535 + 4686*
    b167*b536 + 840*b167*b537 + 5460*b167*b538 + 4620*b167*b539 + 384*b167*b540
     + 2496*b167*b541 + 2112*b167*b542 + 852*b167*b543 + 5538*b167*b544 + 4686*
    b167*b545 + 396*b167*b546 + 2574*b167*b547 + 2178*b167*b548 + 516*b167*b552
     + 3354*b167*b553 + 2838*b167*b554 + 1128*b167*b555 + 7332*b167*b556 + 6204
    *b167*b557 + 348*b167*b558 + 2262*b167*b559 + 1914*b167*b560 + 768*b167*
    b561 + 4992*b167*b562 + 4224*b167*b563 + 1164*b167*b564 + 7566*b167*b565 + 
    6402*b167*b566 + 456*b167*b567 + 2964*b167*b568 + 2508*b167*b569 + 144*b167
    *b570 + 936*b167*b571 + 792*b167*b572 + 1188*b167*b573 + 7722*b167*b574 + 
    6534*b167*b575 + 612*b167*b576 + 3978*b167*b577 + 3366*b167*b578 + 1044*
    b167*b579 + 6786*b167*b580 + 5742*b167*b581 + 912*b167*b582 + 5928*b167*
    b583 + 5016*b167*b584 + 852*b167*b585 + 5538*b167*b586 + 4686*b167*b587 + 
    564*b167*b588 + 3666*b167*b589 + 3102*b167*b590 + 564*b167*b591 + 3666*b167
    *b592 + 3102*b167*b593 + 108*b167*b594 + 702*b167*b595 + 594*b167*b596 + 
    852*b167*b597 + 5538*b167*b598 + 4686*b167*b599 + 3000*b167*b600 + 6100*
    b167*b601 + 7400*b167*b602 + 7700*b167*b603 + 7400*b167*b604 + 600*b167*
    b605 + 1300*b167*b606 + 5500*b167*b607 + 8700*b167*b608 + 800*b167*b610 + 
    5100*b167*b611 + 100*b167*b612 + 9100*b167*b613 + 3900*b167*b614 + 8700*
    b167*b615 + 7200*b167*b616 + 4500*b167*b617 + 9600*b167*b618 + 700*b167*
    b619 + 8700*b167*b620 + 6800*b167*b621 + 3300*b167*b622 + 4500*b167*b623 + 
    840*b167*b624 + 5460*b167*b625 + 4620*b167*b626 + 7826*b168*b179 + 7654*
    b168*b180 + 6880*b168*b181 + 3870*b168*b182 + 2752*b168*b183 + 3956*b168*
    b184 + 5074*b168*b186 + 1634*b168*b187 + 4988*b168*b188 + 688*b168*b189 + 
    258*b168*b191 + 1806*b168*b192 + 7740*b168*b193 + 4042*b168*b194 + 2150*
    b168*b195 + 2580*b168*b196 + 3698*b168*b197 + 8342*b168*b198 + 2838*b168*
    b199 + 3010*b168*b200 + 17108*b168*b201 + 16732*b168*b202 + 15040*b168*b203
     + 8460*b168*b204 + 6016*b168*b205 + 8648*b168*b206 + 11092*b168*b208 + 
    3572*b168*b209 + 10904*b168*b210 + 1504*b168*b211 + 564*b168*b213 + 3948*
    b168*b214 + 16920*b168*b215 + 8836*b168*b216 + 4700*b168*b217 + 5640*b168*
    b218 + 8084*b168*b219 + 18236*b168*b220 + 6204*b168*b221 + 6580*b168*b222
     + 5278*b168*b223 + 5162*b168*b224 + 4640*b168*b225 + 2610*b168*b226 + 1856
    *b168*b227 + 2668*b168*b228 + 3422*b168*b230 + 1102*b168*b231 + 3364*b168*
    b232 + 464*b168*b233 + 174*b168*b235 + 1218*b168*b236 + 5220*b168*b237 + 
    2726*b168*b238 + 1450*b168*b239 + 1740*b168*b240 + 2494*b168*b241 + 5626*
    b168*b242 + 1914*b168*b243 + 2030*b168*b244 + 11648*b168*b245 + 11392*b168*
    b246 + 10240*b168*b247 + 5760*b168*b248 + 4096*b168*b249 + 5888*b168*b250
     + 7552*b168*b252 + 2432*b168*b253 + 7424*b168*b254 + 1024*b168*b255 + 384*
    b168*b257 + 2688*b168*b258 + 11520*b168*b259 + 6016*b168*b260 + 3200*b168*
    b261 + 3840*b168*b262 + 5504*b168*b263 + 12416*b168*b264 + 4224*b168*b265
     + 4480*b168*b266 + 17654*b168*b267 + 17266*b168*b268 + 15520*b168*b269 + 
    8730*b168*b270 + 6208*b168*b271 + 8924*b168*b272 + 11446*b168*b274 + 3686*
    b168*b275 + 11252*b168*b276 + 1552*b168*b277 + 582*b168*b279 + 4074*b168*
    b280 + 17460*b168*b281 + 9118*b168*b282 + 4850*b168*b283 + 5820*b168*b284
     + 8342*b168*b285 + 18818*b168*b286 + 6402*b168*b287 + 6790*b168*b288 + 
    6916*b168*b289 + 6764*b168*b290 + 6080*b168*b291 + 3420*b168*b292 + 2432*
    b168*b293 + 3496*b168*b294 + 4484*b168*b296 + 1444*b168*b297 + 4408*b168*
    b298 + 608*b168*b299 + 228*b168*b301 + 1596*b168*b302 + 6840*b168*b303 + 
    3572*b168*b304 + 1900*b168*b305 + 2280*b168*b306 + 3268*b168*b307 + 7372*
    b168*b308 + 2508*b168*b309 + 2660*b168*b310 + 2184*b168*b311 + 2136*b168*
    b312 + 1920*b168*b313 + 1080*b168*b314 + 768*b168*b315 + 1104*b168*b316 + 
    1416*b168*b318 + 456*b168*b319 + 1392*b168*b320 + 192*b168*b321 + 72*b168*
    b323 + 504*b168*b324 + 2160*b168*b325 + 1128*b168*b326 + 600*b168*b327 + 
    720*b168*b328 + 1032*b168*b329 + 2328*b168*b330 + 792*b168*b331 + 840*b168*
    b332 + 18018*b168*b333 + 17622*b168*b334 + 15840*b168*b335 + 8910*b168*b336
     + 6336*b168*b337 + 9108*b168*b338 + 11682*b168*b340 + 3762*b168*b341 + 
    11484*b168*b342 + 1584*b168*b343 + 594*b168*b345 + 4158*b168*b346 + 17820*
    b168*b347 + 9306*b168*b348 + 4950*b168*b349 + 5940*b168*b350 + 8514*b168*
    b351 + 19206*b168*b352 + 6534*b168*b353 + 6930*b168*b354 + 9282*b168*b355
     + 9078*b168*b356 + 8160*b168*b357 + 4590*b168*b358 + 3264*b168*b359 + 4692
    *b168*b360 + 6018*b168*b362 + 1938*b168*b363 + 5916*b168*b364 + 816*b168*
    b365 + 306*b168*b367 + 2142*b168*b368 + 9180*b168*b369 + 4794*b168*b370 + 
    2550*b168*b371 + 3060*b168*b372 + 4386*b168*b373 + 9894*b168*b374 + 3366*
    b168*b375 + 3570*b168*b376 + 15834*b168*b377 + 15486*b168*b378 + 13920*b168
    *b379 + 7830*b168*b380 + 5568*b168*b381 + 8004*b168*b382 + 10266*b168*b384
     + 3306*b168*b385 + 10092*b168*b386 + 1392*b168*b387 + 522*b168*b389 + 3654
    *b168*b390 + 15660*b168*b391 + 8178*b168*b392 + 4350*b168*b393 + 5220*b168*
    b394 + 7482*b168*b395 + 16878*b168*b396 + 5742*b168*b397 + 6090*b168*b398
     + 13832*b168*b399 + 13528*b168*b400 + 12160*b168*b401 + 6840*b168*b402 + 
    4864*b168*b403 + 6992*b168*b404 + 8968*b168*b406 + 2888*b168*b407 + 8816*
    b168*b408 + 1216*b168*b409 + 456*b168*b411 + 3192*b168*b412 + 13680*b168*
    b413 + 7144*b168*b414 + 3800*b168*b415 + 4560*b168*b416 + 6536*b168*b417 + 
    14744*b168*b418 + 5016*b168*b419 + 5320*b168*b420 + 12922*b168*b421 + 12638
    *b168*b422 + 11360*b168*b423 + 6390*b168*b424 + 4544*b168*b425 + 6532*b168*
    b426 + 8378*b168*b428 + 2698*b168*b429 + 8236*b168*b430 + 1136*b168*b431 + 
    426*b168*b433 + 2982*b168*b434 + 12780*b168*b435 + 6674*b168*b436 + 3550*
    b168*b437 + 4260*b168*b438 + 6106*b168*b439 + 13774*b168*b440 + 4686*b168*
    b441 + 4970*b168*b442 + 8554*b168*b443 + 8366*b168*b444 + 7520*b168*b445 + 
    4230*b168*b446 + 3008*b168*b447 + 4324*b168*b448 + 5546*b168*b450 + 1786*
    b168*b451 + 5452*b168*b452 + 752*b168*b453 + 282*b168*b455 + 1974*b168*b456
     + 8460*b168*b457 + 4418*b168*b458 + 2350*b168*b459 + 2820*b168*b460 + 4042
    *b168*b461 + 9118*b168*b462 + 3102*b168*b463 + 3290*b168*b464 + 8554*b168*
    b465 + 8366*b168*b466 + 7520*b168*b467 + 4230*b168*b468 + 3008*b168*b469 + 
    4324*b168*b470 + 5546*b168*b472 + 1786*b168*b473 + 5452*b168*b474 + 752*
    b168*b475 + 282*b168*b477 + 1974*b168*b478 + 8460*b168*b479 + 4418*b168*
    b480 + 2350*b168*b481 + 2820*b168*b482 + 4042*b168*b483 + 9118*b168*b484 + 
    3102*b168*b485 + 3290*b168*b486 + 1638*b168*b487 + 1602*b168*b488 + 1440*
    b168*b489 + 810*b168*b490 + 576*b168*b491 + 828*b168*b492 + 1062*b168*b494
     + 342*b168*b495 + 1044*b168*b496 + 144*b168*b497 + 54*b168*b499 + 378*b168
    *b500 + 1620*b168*b501 + 846*b168*b502 + 450*b168*b503 + 540*b168*b504 + 
    774*b168*b505 + 1746*b168*b506 + 594*b168*b507 + 630*b168*b508 + 12922*b168
    *b509 + 12638*b168*b510 + 11360*b168*b511 + 6390*b168*b512 + 4544*b168*b513
     + 6532*b168*b514 + 8378*b168*b516 + 2698*b168*b517 + 8236*b168*b518 + 1136
    *b168*b519 + 426*b168*b521 + 2982*b168*b522 + 12780*b168*b523 + 6674*b168*
    b524 + 3550*b168*b525 + 4260*b168*b526 + 6106*b168*b527 + 13774*b168*b528
     + 4686*b168*b529 + 4970*b168*b530 + 1760*b168*b531 + 1800*b168*b532 + 2440
    *b168*b533 + 6248*b168*b534 + 6390*b168*b535 + 8662*b168*b536 + 6160*b168*
    b537 + 6300*b168*b538 + 8540*b168*b539 + 2816*b168*b540 + 2880*b168*b541 + 
    3904*b168*b542 + 6248*b168*b543 + 6390*b168*b544 + 8662*b168*b545 + 2904*
    b168*b546 + 2970*b168*b547 + 4026*b168*b548 + 3784*b168*b552 + 3870*b168*
    b553 + 5246*b168*b554 + 8272*b168*b555 + 8460*b168*b556 + 11468*b168*b557
     + 2552*b168*b558 + 2610*b168*b559 + 3538*b168*b560 + 5632*b168*b561 + 5760
    *b168*b562 + 7808*b168*b563 + 8536*b168*b564 + 8730*b168*b565 + 11834*b168*
    b566 + 3344*b168*b567 + 3420*b168*b568 + 4636*b168*b569 + 1056*b168*b570 + 
    1080*b168*b571 + 1464*b168*b572 + 8712*b168*b573 + 8910*b168*b574 + 12078*
    b168*b575 + 4488*b168*b576 + 4590*b168*b577 + 6222*b168*b578 + 7656*b168*
    b579 + 7830*b168*b580 + 10614*b168*b581 + 6688*b168*b582 + 6840*b168*b583
     + 9272*b168*b584 + 6248*b168*b585 + 6390*b168*b586 + 8662*b168*b587 + 4136
    *b168*b588 + 4230*b168*b589 + 5734*b168*b590 + 4136*b168*b591 + 4230*b168*
    b592 + 5734*b168*b593 + 792*b168*b594 + 810*b168*b595 + 1098*b168*b596 + 
    6248*b168*b597 + 6390*b168*b598 + 8662*b168*b599 + 8900*b168*b600 + 8000*
    b168*b601 + 4500*b168*b602 + 3200*b168*b603 + 4600*b168*b604 + 5900*b168*
    b606 + 1900*b168*b607 + 5800*b168*b608 + 800*b168*b609 + 300*b168*b611 + 
    2100*b168*b612 + 9000*b168*b613 + 4500*b168*b614 + 4700*b168*b615 + 2500*
    b168*b616 + 3000*b168*b617 + 4300*b168*b618 + 9700*b168*b619 + 3300*b168*
    b620 + 3500*b168*b621 + 6100*b168*b622 + 9100*b168*b623 + 6160*b168*b624 + 
    6300*b168*b625 + 8540*b168*b626 + 5074*b169*b179 + 6536*b169*b180 + 4988*
    b169*b181 + 5590*b169*b182 + 7482*b169*b183 + 1118*b169*b184 + 5332*b169*
    b185 + 4214*b169*b186 + 7310*b169*b187 + 1462*b169*b188 + 4386*b169*b189 + 
    258*b169*b190 + 3612*b169*b192 + 3096*b169*b193 + 602*b169*b194 + 7224*b169
    *b195 + 516*b169*b196 + 4128*b169*b199 + 5332*b169*b200 + 11092*b169*b201
     + 14288*b169*b202 + 10904*b169*b203 + 12220*b169*b204 + 16356*b169*b205 + 
    2444*b169*b206 + 11656*b169*b207 + 9212*b169*b208 + 15980*b169*b209 + 3196*
    b169*b210 + 9588*b169*b211 + 564*b169*b212 + 7896*b169*b214 + 6768*b169*
    b215 + 1316*b169*b216 + 15792*b169*b217 + 1128*b169*b218 + 9024*b169*b221
     + 11656*b169*b222 + 3422*b169*b223 + 4408*b169*b224 + 3364*b169*b225 + 
    3770*b169*b226 + 5046*b169*b227 + 754*b169*b228 + 3596*b169*b229 + 2842*
    b169*b230 + 4930*b169*b231 + 986*b169*b232 + 2958*b169*b233 + 174*b169*b234
     + 2436*b169*b236 + 2088*b169*b237 + 406*b169*b238 + 4872*b169*b239 + 348*
    b169*b240 + 2784*b169*b243 + 3596*b169*b244 + 7552*b169*b245 + 9728*b169*
    b246 + 7424*b169*b247 + 8320*b169*b248 + 11136*b169*b249 + 1664*b169*b250
     + 7936*b169*b251 + 6272*b169*b252 + 10880*b169*b253 + 2176*b169*b254 + 
    6528*b169*b255 + 384*b169*b256 + 5376*b169*b258 + 4608*b169*b259 + 896*b169
    *b260 + 10752*b169*b261 + 768*b169*b262 + 6144*b169*b265 + 7936*b169*b266
     + 11446*b169*b267 + 14744*b169*b268 + 11252*b169*b269 + 12610*b169*b270 + 
    16878*b169*b271 + 2522*b169*b272 + 12028*b169*b273 + 9506*b169*b274 + 16490
    *b169*b275 + 3298*b169*b276 + 9894*b169*b277 + 582*b169*b278 + 8148*b169*
    b280 + 6984*b169*b281 + 1358*b169*b282 + 16296*b169*b283 + 1164*b169*b284
     + 9312*b169*b287 + 12028*b169*b288 + 4484*b169*b289 + 5776*b169*b290 + 
    4408*b169*b291 + 4940*b169*b292 + 6612*b169*b293 + 988*b169*b294 + 4712*
    b169*b295 + 3724*b169*b296 + 6460*b169*b297 + 1292*b169*b298 + 3876*b169*
    b299 + 228*b169*b300 + 3192*b169*b302 + 2736*b169*b303 + 532*b169*b304 + 
    6384*b169*b305 + 456*b169*b306 + 3648*b169*b309 + 4712*b169*b310 + 1416*
    b169*b311 + 1824*b169*b312 + 1392*b169*b313 + 1560*b169*b314 + 2088*b169*
    b315 + 312*b169*b316 + 1488*b169*b317 + 1176*b169*b318 + 2040*b169*b319 + 
    408*b169*b320 + 1224*b169*b321 + 72*b169*b322 + 1008*b169*b324 + 864*b169*
    b325 + 168*b169*b326 + 2016*b169*b327 + 144*b169*b328 + 1152*b169*b331 + 
    1488*b169*b332 + 11682*b169*b333 + 15048*b169*b334 + 11484*b169*b335 + 
    12870*b169*b336 + 17226*b169*b337 + 2574*b169*b338 + 12276*b169*b339 + 9702
    *b169*b340 + 16830*b169*b341 + 3366*b169*b342 + 10098*b169*b343 + 594*b169*
    b344 + 8316*b169*b346 + 7128*b169*b347 + 1386*b169*b348 + 16632*b169*b349
     + 1188*b169*b350 + 9504*b169*b353 + 12276*b169*b354 + 6018*b169*b355 + 
    7752*b169*b356 + 5916*b169*b357 + 6630*b169*b358 + 8874*b169*b359 + 1326*
    b169*b360 + 6324*b169*b361 + 4998*b169*b362 + 8670*b169*b363 + 1734*b169*
    b364 + 5202*b169*b365 + 306*b169*b366 + 4284*b169*b368 + 3672*b169*b369 + 
    714*b169*b370 + 8568*b169*b371 + 612*b169*b372 + 4896*b169*b375 + 6324*b169
    *b376 + 10266*b169*b377 + 13224*b169*b378 + 10092*b169*b379 + 11310*b169*
    b380 + 15138*b169*b381 + 2262*b169*b382 + 10788*b169*b383 + 8526*b169*b384
     + 14790*b169*b385 + 2958*b169*b386 + 8874*b169*b387 + 522*b169*b388 + 7308
    *b169*b390 + 6264*b169*b391 + 1218*b169*b392 + 14616*b169*b393 + 1044*b169*
    b394 + 8352*b169*b397 + 10788*b169*b398 + 8968*b169*b399 + 11552*b169*b400
     + 8816*b169*b401 + 9880*b169*b402 + 13224*b169*b403 + 1976*b169*b404 + 
    9424*b169*b405 + 7448*b169*b406 + 12920*b169*b407 + 2584*b169*b408 + 7752*
    b169*b409 + 456*b169*b410 + 6384*b169*b412 + 5472*b169*b413 + 1064*b169*
    b414 + 12768*b169*b415 + 912*b169*b416 + 7296*b169*b419 + 9424*b169*b420 + 
    8378*b169*b421 + 10792*b169*b422 + 8236*b169*b423 + 9230*b169*b424 + 12354*
    b169*b425 + 1846*b169*b426 + 8804*b169*b427 + 6958*b169*b428 + 12070*b169*
    b429 + 2414*b169*b430 + 7242*b169*b431 + 426*b169*b432 + 5964*b169*b434 + 
    5112*b169*b435 + 994*b169*b436 + 11928*b169*b437 + 852*b169*b438 + 6816*
    b169*b441 + 8804*b169*b442 + 5546*b169*b443 + 7144*b169*b444 + 5452*b169*
    b445 + 6110*b169*b446 + 8178*b169*b447 + 1222*b169*b448 + 5828*b169*b449 + 
    4606*b169*b450 + 7990*b169*b451 + 1598*b169*b452 + 4794*b169*b453 + 282*
    b169*b454 + 3948*b169*b456 + 3384*b169*b457 + 658*b169*b458 + 7896*b169*
    b459 + 564*b169*b460 + 4512*b169*b463 + 5828*b169*b464 + 5546*b169*b465 + 
    7144*b169*b466 + 5452*b169*b467 + 6110*b169*b468 + 8178*b169*b469 + 1222*
    b169*b470 + 5828*b169*b471 + 4606*b169*b472 + 7990*b169*b473 + 1598*b169*
    b474 + 4794*b169*b475 + 282*b169*b476 + 3948*b169*b478 + 3384*b169*b479 + 
    658*b169*b480 + 7896*b169*b481 + 564*b169*b482 + 4512*b169*b485 + 5828*b169
    *b486 + 1062*b169*b487 + 1368*b169*b488 + 1044*b169*b489 + 1170*b169*b490
     + 1566*b169*b491 + 234*b169*b492 + 1116*b169*b493 + 882*b169*b494 + 1530*
    b169*b495 + 306*b169*b496 + 918*b169*b497 + 54*b169*b498 + 756*b169*b500 + 
    648*b169*b501 + 126*b169*b502 + 1512*b169*b503 + 108*b169*b504 + 864*b169*
    b507 + 1116*b169*b508 + 8378*b169*b509 + 10792*b169*b510 + 8236*b169*b511
     + 9230*b169*b512 + 12354*b169*b513 + 1846*b169*b514 + 8804*b169*b515 + 
    6958*b169*b516 + 12070*b169*b517 + 2414*b169*b518 + 7242*b169*b519 + 426*
    b169*b520 + 5964*b169*b522 + 5112*b169*b523 + 994*b169*b524 + 11928*b169*
    b525 + 852*b169*b526 + 6816*b169*b529 + 8804*b169*b530 + 1600*b169*b531 + 
    1720*b169*b532 + 2360*b169*b533 + 5680*b169*b534 + 6106*b169*b535 + 8378*
    b169*b536 + 5600*b169*b537 + 6020*b169*b538 + 8260*b169*b539 + 2560*b169*
    b540 + 2752*b169*b541 + 3776*b169*b542 + 5680*b169*b543 + 6106*b169*b544 + 
    8378*b169*b545 + 2640*b169*b546 + 2838*b169*b547 + 3894*b169*b548 + 3440*
    b169*b552 + 3698*b169*b553 + 5074*b169*b554 + 7520*b169*b555 + 8084*b169*
    b556 + 11092*b169*b557 + 2320*b169*b558 + 2494*b169*b559 + 3422*b169*b560
     + 5120*b169*b561 + 5504*b169*b562 + 7552*b169*b563 + 7760*b169*b564 + 8342
    *b169*b565 + 11446*b169*b566 + 3040*b169*b567 + 3268*b169*b568 + 4484*b169*
    b569 + 960*b169*b570 + 1032*b169*b571 + 1416*b169*b572 + 7920*b169*b573 + 
    8514*b169*b574 + 11682*b169*b575 + 4080*b169*b576 + 4386*b169*b577 + 6018*
    b169*b578 + 6960*b169*b579 + 7482*b169*b580 + 10266*b169*b581 + 6080*b169*
    b582 + 6536*b169*b583 + 8968*b169*b584 + 5680*b169*b585 + 6106*b169*b586 + 
    8378*b169*b587 + 3760*b169*b588 + 4042*b169*b589 + 5546*b169*b590 + 3760*
    b169*b591 + 4042*b169*b592 + 5546*b169*b593 + 720*b169*b594 + 774*b169*b595
     + 1062*b169*b596 + 5680*b169*b597 + 6106*b169*b598 + 8378*b169*b599 + 7600
    *b169*b600 + 5800*b169*b601 + 6500*b169*b602 + 8700*b169*b603 + 1300*b169*
    b604 + 6200*b169*b605 + 4900*b169*b606 + 8500*b169*b607 + 1700*b169*b608 + 
    5100*b169*b609 + 300*b169*b610 + 4200*b169*b612 + 3600*b169*b613 + 4300*
    b169*b614 + 700*b169*b615 + 8400*b169*b616 + 600*b169*b617 + 4800*b169*b620
     + 6200*b169*b621 + 5900*b169*b622 + 5900*b169*b623 + 5600*b169*b624 + 6020
    *b169*b625 + 8260*b169*b626 + 1548*b170*b179 + 6536*b170*b180 + 1806*b170*
    b181 + 3440*b170*b182 + 5762*b170*b183 + 1720*b170*b184 + 3526*b170*b185 + 
    7310*b170*b186 + 4472*b170*b187 + 5848*b170*b188 + 86*b170*b189 + 1806*b170
    *b190 + 3612*b170*b191 + 2494*b170*b193 + 7052*b170*b194 + 2494*b170*b195
     + 258*b170*b196 + 258*b170*b197 + 4386*b170*b198 + 5762*b170*b199 + 3354*
    b170*b200 + 3384*b170*b201 + 14288*b170*b202 + 3948*b170*b203 + 7520*b170*
    b204 + 12596*b170*b205 + 3760*b170*b206 + 7708*b170*b207 + 15980*b170*b208
     + 9776*b170*b209 + 12784*b170*b210 + 188*b170*b211 + 3948*b170*b212 + 7896
    *b170*b213 + 5452*b170*b215 + 15416*b170*b216 + 5452*b170*b217 + 564*b170*
    b218 + 564*b170*b219 + 9588*b170*b220 + 12596*b170*b221 + 7332*b170*b222 + 
    1044*b170*b223 + 4408*b170*b224 + 1218*b170*b225 + 2320*b170*b226 + 3886*
    b170*b227 + 1160*b170*b228 + 2378*b170*b229 + 4930*b170*b230 + 3016*b170*
    b231 + 3944*b170*b232 + 58*b170*b233 + 1218*b170*b234 + 2436*b170*b235 + 
    1682*b170*b237 + 4756*b170*b238 + 1682*b170*b239 + 174*b170*b240 + 174*b170
    *b241 + 2958*b170*b242 + 3886*b170*b243 + 2262*b170*b244 + 2304*b170*b245
     + 9728*b170*b246 + 2688*b170*b247 + 5120*b170*b248 + 8576*b170*b249 + 2560
    *b170*b250 + 5248*b170*b251 + 10880*b170*b252 + 6656*b170*b253 + 8704*b170*
    b254 + 128*b170*b255 + 2688*b170*b256 + 5376*b170*b257 + 3712*b170*b259 + 
    10496*b170*b260 + 3712*b170*b261 + 384*b170*b262 + 384*b170*b263 + 6528*
    b170*b264 + 8576*b170*b265 + 4992*b170*b266 + 3492*b170*b267 + 14744*b170*
    b268 + 4074*b170*b269 + 7760*b170*b270 + 12998*b170*b271 + 3880*b170*b272
     + 7954*b170*b273 + 16490*b170*b274 + 10088*b170*b275 + 13192*b170*b276 + 
    194*b170*b277 + 4074*b170*b278 + 8148*b170*b279 + 5626*b170*b281 + 15908*
    b170*b282 + 5626*b170*b283 + 582*b170*b284 + 582*b170*b285 + 9894*b170*b286
     + 12998*b170*b287 + 7566*b170*b288 + 1368*b170*b289 + 5776*b170*b290 + 
    1596*b170*b291 + 3040*b170*b292 + 5092*b170*b293 + 1520*b170*b294 + 3116*
    b170*b295 + 6460*b170*b296 + 3952*b170*b297 + 5168*b170*b298 + 76*b170*b299
     + 1596*b170*b300 + 3192*b170*b301 + 2204*b170*b303 + 6232*b170*b304 + 2204
    *b170*b305 + 228*b170*b306 + 228*b170*b307 + 3876*b170*b308 + 5092*b170*
    b309 + 2964*b170*b310 + 432*b170*b311 + 1824*b170*b312 + 504*b170*b313 + 
    960*b170*b314 + 1608*b170*b315 + 480*b170*b316 + 984*b170*b317 + 2040*b170*
    b318 + 1248*b170*b319 + 1632*b170*b320 + 24*b170*b321 + 504*b170*b322 + 
    1008*b170*b323 + 696*b170*b325 + 1968*b170*b326 + 696*b170*b327 + 72*b170*
    b328 + 72*b170*b329 + 1224*b170*b330 + 1608*b170*b331 + 936*b170*b332 + 
    3564*b170*b333 + 15048*b170*b334 + 4158*b170*b335 + 7920*b170*b336 + 13266*
    b170*b337 + 3960*b170*b338 + 8118*b170*b339 + 16830*b170*b340 + 10296*b170*
    b341 + 13464*b170*b342 + 198*b170*b343 + 4158*b170*b344 + 8316*b170*b345 + 
    5742*b170*b347 + 16236*b170*b348 + 5742*b170*b349 + 594*b170*b350 + 594*
    b170*b351 + 10098*b170*b352 + 13266*b170*b353 + 7722*b170*b354 + 1836*b170*
    b355 + 7752*b170*b356 + 2142*b170*b357 + 4080*b170*b358 + 6834*b170*b359 + 
    2040*b170*b360 + 4182*b170*b361 + 8670*b170*b362 + 5304*b170*b363 + 6936*
    b170*b364 + 102*b170*b365 + 2142*b170*b366 + 4284*b170*b367 + 2958*b170*
    b369 + 8364*b170*b370 + 2958*b170*b371 + 306*b170*b372 + 306*b170*b373 + 
    5202*b170*b374 + 6834*b170*b375 + 3978*b170*b376 + 3132*b170*b377 + 13224*
    b170*b378 + 3654*b170*b379 + 6960*b170*b380 + 11658*b170*b381 + 3480*b170*
    b382 + 7134*b170*b383 + 14790*b170*b384 + 9048*b170*b385 + 11832*b170*b386
     + 174*b170*b387 + 3654*b170*b388 + 7308*b170*b389 + 5046*b170*b391 + 14268
    *b170*b392 + 5046*b170*b393 + 522*b170*b394 + 522*b170*b395 + 8874*b170*
    b396 + 11658*b170*b397 + 6786*b170*b398 + 2736*b170*b399 + 11552*b170*b400
     + 3192*b170*b401 + 6080*b170*b402 + 10184*b170*b403 + 3040*b170*b404 + 
    6232*b170*b405 + 12920*b170*b406 + 7904*b170*b407 + 10336*b170*b408 + 152*
    b170*b409 + 3192*b170*b410 + 6384*b170*b411 + 4408*b170*b413 + 12464*b170*
    b414 + 4408*b170*b415 + 456*b170*b416 + 456*b170*b417 + 7752*b170*b418 + 
    10184*b170*b419 + 5928*b170*b420 + 2556*b170*b421 + 10792*b170*b422 + 2982*
    b170*b423 + 5680*b170*b424 + 9514*b170*b425 + 2840*b170*b426 + 5822*b170*
    b427 + 12070*b170*b428 + 7384*b170*b429 + 9656*b170*b430 + 142*b170*b431 + 
    2982*b170*b432 + 5964*b170*b433 + 4118*b170*b435 + 11644*b170*b436 + 4118*
    b170*b437 + 426*b170*b438 + 426*b170*b439 + 7242*b170*b440 + 9514*b170*b441
     + 5538*b170*b442 + 1692*b170*b443 + 7144*b170*b444 + 1974*b170*b445 + 3760
    *b170*b446 + 6298*b170*b447 + 1880*b170*b448 + 3854*b170*b449 + 7990*b170*
    b450 + 4888*b170*b451 + 6392*b170*b452 + 94*b170*b453 + 1974*b170*b454 + 
    3948*b170*b455 + 2726*b170*b457 + 7708*b170*b458 + 2726*b170*b459 + 282*
    b170*b460 + 282*b170*b461 + 4794*b170*b462 + 6298*b170*b463 + 3666*b170*
    b464 + 1692*b170*b465 + 7144*b170*b466 + 1974*b170*b467 + 3760*b170*b468 + 
    6298*b170*b469 + 1880*b170*b470 + 3854*b170*b471 + 7990*b170*b472 + 4888*
    b170*b473 + 6392*b170*b474 + 94*b170*b475 + 1974*b170*b476 + 3948*b170*b477
     + 2726*b170*b479 + 7708*b170*b480 + 2726*b170*b481 + 282*b170*b482 + 282*
    b170*b483 + 4794*b170*b484 + 6298*b170*b485 + 3666*b170*b486 + 324*b170*
    b487 + 1368*b170*b488 + 378*b170*b489 + 720*b170*b490 + 1206*b170*b491 + 
    360*b170*b492 + 738*b170*b493 + 1530*b170*b494 + 936*b170*b495 + 1224*b170*
    b496 + 18*b170*b497 + 378*b170*b498 + 756*b170*b499 + 522*b170*b501 + 1476*
    b170*b502 + 522*b170*b503 + 54*b170*b504 + 54*b170*b505 + 918*b170*b506 + 
    1206*b170*b507 + 702*b170*b508 + 2556*b170*b509 + 10792*b170*b510 + 2982*
    b170*b511 + 5680*b170*b512 + 9514*b170*b513 + 2840*b170*b514 + 5822*b170*
    b515 + 12070*b170*b516 + 7384*b170*b517 + 9656*b170*b518 + 142*b170*b519 + 
    2982*b170*b520 + 5964*b170*b521 + 4118*b170*b523 + 11644*b170*b524 + 4118*
    b170*b525 + 426*b170*b526 + 426*b170*b527 + 7242*b170*b528 + 9514*b170*b529
     + 5538*b170*b530 + 3000*b170*b531 + 3760*b170*b532 + 600*b170*b533 + 10650
    *b170*b534 + 13348*b170*b535 + 2130*b170*b536 + 10500*b170*b537 + 13160*
    b170*b538 + 2100*b170*b539 + 4800*b170*b540 + 6016*b170*b541 + 960*b170*
    b542 + 10650*b170*b543 + 13348*b170*b544 + 2130*b170*b545 + 4950*b170*b546
     + 6204*b170*b547 + 990*b170*b548 + 6450*b170*b552 + 8084*b170*b553 + 1290*
    b170*b554 + 14100*b170*b555 + 17672*b170*b556 + 2820*b170*b557 + 4350*b170*
    b558 + 5452*b170*b559 + 870*b170*b560 + 9600*b170*b561 + 12032*b170*b562 + 
    1920*b170*b563 + 14550*b170*b564 + 18236*b170*b565 + 2910*b170*b566 + 5700*
    b170*b567 + 7144*b170*b568 + 1140*b170*b569 + 1800*b170*b570 + 2256*b170*
    b571 + 360*b170*b572 + 14850*b170*b573 + 18612*b170*b574 + 2970*b170*b575
     + 7650*b170*b576 + 9588*b170*b577 + 1530*b170*b578 + 13050*b170*b579 + 
    16356*b170*b580 + 2610*b170*b581 + 11400*b170*b582 + 14288*b170*b583 + 2280
    *b170*b584 + 10650*b170*b585 + 13348*b170*b586 + 2130*b170*b587 + 7050*b170
    *b588 + 8836*b170*b589 + 1410*b170*b590 + 7050*b170*b591 + 8836*b170*b592
     + 1410*b170*b593 + 1350*b170*b594 + 1692*b170*b595 + 270*b170*b596 + 10650
    *b170*b597 + 13348*b170*b598 + 2130*b170*b599 + 7600*b170*b600 + 2100*b170*
    b601 + 4000*b170*b602 + 6700*b170*b603 + 2000*b170*b604 + 4100*b170*b605 + 
    8500*b170*b606 + 5200*b170*b607 + 6800*b170*b608 + 100*b170*b609 + 2100*
    b170*b610 + 4200*b170*b611 + 2900*b170*b613 + 9400*b170*b614 + 8200*b170*
    b615 + 2900*b170*b616 + 300*b170*b617 + 300*b170*b618 + 5100*b170*b619 + 
    6700*b170*b620 + 3900*b170*b621 + 1500*b170*b622 + 1800*b170*b623 + 10500*
    b170*b624 + 13160*b170*b625 + 2100*b170*b626 + 6536*b171*b179 + 3440*b171*
    b180 + 6536*b171*b181 + 4644*b171*b182 + 8084*b171*b183 + 7396*b171*b184 + 
    5332*b171*b185 + 7224*b171*b186 + 2924*b171*b187 + 2322*b171*b188 + 7826*
    b171*b189 + 7740*b171*b190 + 3096*b171*b191 + 2494*b171*b192 + 3612*b171*
    b194 + 1978*b171*b195 + 5332*b171*b196 + 5332*b171*b197 + 2408*b171*b198 + 
    6536*b171*b199 + 5676*b171*b200 + 14288*b171*b201 + 7520*b171*b202 + 14288*
    b171*b203 + 10152*b171*b204 + 17672*b171*b205 + 16168*b171*b206 + 11656*
    b171*b207 + 15792*b171*b208 + 6392*b171*b209 + 5076*b171*b210 + 17108*b171*
    b211 + 16920*b171*b212 + 6768*b171*b213 + 5452*b171*b214 + 7896*b171*b216
     + 4324*b171*b217 + 11656*b171*b218 + 11656*b171*b219 + 5264*b171*b220 + 
    14288*b171*b221 + 12408*b171*b222 + 4408*b171*b223 + 2320*b171*b224 + 4408*
    b171*b225 + 3132*b171*b226 + 5452*b171*b227 + 4988*b171*b228 + 3596*b171*
    b229 + 4872*b171*b230 + 1972*b171*b231 + 1566*b171*b232 + 5278*b171*b233 + 
    5220*b171*b234 + 2088*b171*b235 + 1682*b171*b236 + 2436*b171*b238 + 1334*
    b171*b239 + 3596*b171*b240 + 3596*b171*b241 + 1624*b171*b242 + 4408*b171*
    b243 + 3828*b171*b244 + 9728*b171*b245 + 5120*b171*b246 + 9728*b171*b247 + 
    6912*b171*b248 + 12032*b171*b249 + 11008*b171*b250 + 7936*b171*b251 + 10752
    *b171*b252 + 4352*b171*b253 + 3456*b171*b254 + 11648*b171*b255 + 11520*b171
    *b256 + 4608*b171*b257 + 3712*b171*b258 + 5376*b171*b260 + 2944*b171*b261
     + 7936*b171*b262 + 7936*b171*b263 + 3584*b171*b264 + 9728*b171*b265 + 8448
    *b171*b266 + 14744*b171*b267 + 7760*b171*b268 + 14744*b171*b269 + 10476*
    b171*b270 + 18236*b171*b271 + 16684*b171*b272 + 12028*b171*b273 + 16296*
    b171*b274 + 6596*b171*b275 + 5238*b171*b276 + 17654*b171*b277 + 17460*b171*
    b278 + 6984*b171*b279 + 5626*b171*b280 + 8148*b171*b282 + 4462*b171*b283 + 
    12028*b171*b284 + 12028*b171*b285 + 5432*b171*b286 + 14744*b171*b287 + 
    12804*b171*b288 + 5776*b171*b289 + 3040*b171*b290 + 5776*b171*b291 + 4104*
    b171*b292 + 7144*b171*b293 + 6536*b171*b294 + 4712*b171*b295 + 6384*b171*
    b296 + 2584*b171*b297 + 2052*b171*b298 + 6916*b171*b299 + 6840*b171*b300 + 
    2736*b171*b301 + 2204*b171*b302 + 3192*b171*b304 + 1748*b171*b305 + 4712*
    b171*b306 + 4712*b171*b307 + 2128*b171*b308 + 5776*b171*b309 + 5016*b171*
    b310 + 1824*b171*b311 + 960*b171*b312 + 1824*b171*b313 + 1296*b171*b314 + 
    2256*b171*b315 + 2064*b171*b316 + 1488*b171*b317 + 2016*b171*b318 + 816*
    b171*b319 + 648*b171*b320 + 2184*b171*b321 + 2160*b171*b322 + 864*b171*b323
     + 696*b171*b324 + 1008*b171*b326 + 552*b171*b327 + 1488*b171*b328 + 1488*
    b171*b329 + 672*b171*b330 + 1824*b171*b331 + 1584*b171*b332 + 15048*b171*
    b333 + 7920*b171*b334 + 15048*b171*b335 + 10692*b171*b336 + 18612*b171*b337
     + 17028*b171*b338 + 12276*b171*b339 + 16632*b171*b340 + 6732*b171*b341 + 
    5346*b171*b342 + 18018*b171*b343 + 17820*b171*b344 + 7128*b171*b345 + 5742*
    b171*b346 + 8316*b171*b348 + 4554*b171*b349 + 12276*b171*b350 + 12276*b171*
    b351 + 5544*b171*b352 + 15048*b171*b353 + 13068*b171*b354 + 7752*b171*b355
     + 4080*b171*b356 + 7752*b171*b357 + 5508*b171*b358 + 9588*b171*b359 + 8772
    *b171*b360 + 6324*b171*b361 + 8568*b171*b362 + 3468*b171*b363 + 2754*b171*
    b364 + 9282*b171*b365 + 9180*b171*b366 + 3672*b171*b367 + 2958*b171*b368 + 
    4284*b171*b370 + 2346*b171*b371 + 6324*b171*b372 + 6324*b171*b373 + 2856*
    b171*b374 + 7752*b171*b375 + 6732*b171*b376 + 13224*b171*b377 + 6960*b171*
    b378 + 13224*b171*b379 + 9396*b171*b380 + 16356*b171*b381 + 14964*b171*b382
     + 10788*b171*b383 + 14616*b171*b384 + 5916*b171*b385 + 4698*b171*b386 + 
    15834*b171*b387 + 15660*b171*b388 + 6264*b171*b389 + 5046*b171*b390 + 7308*
    b171*b392 + 4002*b171*b393 + 10788*b171*b394 + 10788*b171*b395 + 4872*b171*
    b396 + 13224*b171*b397 + 11484*b171*b398 + 11552*b171*b399 + 6080*b171*b400
     + 11552*b171*b401 + 8208*b171*b402 + 14288*b171*b403 + 13072*b171*b404 + 
    9424*b171*b405 + 12768*b171*b406 + 5168*b171*b407 + 4104*b171*b408 + 13832*
    b171*b409 + 13680*b171*b410 + 5472*b171*b411 + 4408*b171*b412 + 6384*b171*
    b414 + 3496*b171*b415 + 9424*b171*b416 + 9424*b171*b417 + 4256*b171*b418 + 
    11552*b171*b419 + 10032*b171*b420 + 10792*b171*b421 + 5680*b171*b422 + 
    10792*b171*b423 + 7668*b171*b424 + 13348*b171*b425 + 12212*b171*b426 + 8804
    *b171*b427 + 11928*b171*b428 + 4828*b171*b429 + 3834*b171*b430 + 12922*b171
    *b431 + 12780*b171*b432 + 5112*b171*b433 + 4118*b171*b434 + 5964*b171*b436
     + 3266*b171*b437 + 8804*b171*b438 + 8804*b171*b439 + 3976*b171*b440 + 
    10792*b171*b441 + 9372*b171*b442 + 7144*b171*b443 + 3760*b171*b444 + 7144*
    b171*b445 + 5076*b171*b446 + 8836*b171*b447 + 8084*b171*b448 + 5828*b171*
    b449 + 7896*b171*b450 + 3196*b171*b451 + 2538*b171*b452 + 8554*b171*b453 + 
    8460*b171*b454 + 3384*b171*b455 + 2726*b171*b456 + 3948*b171*b458 + 2162*
    b171*b459 + 5828*b171*b460 + 5828*b171*b461 + 2632*b171*b462 + 7144*b171*
    b463 + 6204*b171*b464 + 7144*b171*b465 + 3760*b171*b466 + 7144*b171*b467 + 
    5076*b171*b468 + 8836*b171*b469 + 8084*b171*b470 + 5828*b171*b471 + 7896*
    b171*b472 + 3196*b171*b473 + 2538*b171*b474 + 8554*b171*b475 + 8460*b171*
    b476 + 3384*b171*b477 + 2726*b171*b478 + 3948*b171*b480 + 2162*b171*b481 + 
    5828*b171*b482 + 5828*b171*b483 + 2632*b171*b484 + 7144*b171*b485 + 6204*
    b171*b486 + 1368*b171*b487 + 720*b171*b488 + 1368*b171*b489 + 972*b171*b490
     + 1692*b171*b491 + 1548*b171*b492 + 1116*b171*b493 + 1512*b171*b494 + 612*
    b171*b495 + 486*b171*b496 + 1638*b171*b497 + 1620*b171*b498 + 648*b171*b499
     + 522*b171*b500 + 756*b171*b502 + 414*b171*b503 + 1116*b171*b504 + 1116*
    b171*b505 + 504*b171*b506 + 1368*b171*b507 + 1188*b171*b508 + 10792*b171*
    b509 + 5680*b171*b510 + 10792*b171*b511 + 7668*b171*b512 + 13348*b171*b513
     + 12212*b171*b514 + 8804*b171*b515 + 11928*b171*b516 + 4828*b171*b517 + 
    3834*b171*b518 + 12922*b171*b519 + 12780*b171*b520 + 5112*b171*b521 + 4118*
    b171*b522 + 5964*b171*b524 + 3266*b171*b525 + 8804*b171*b526 + 8804*b171*
    b527 + 3976*b171*b528 + 10792*b171*b529 + 9372*b171*b530 + 3160*b171*b531
     + 2640*b171*b532 + 3280*b171*b533 + 11218*b171*b534 + 9372*b171*b535 + 
    11644*b171*b536 + 11060*b171*b537 + 9240*b171*b538 + 11480*b171*b539 + 5056
    *b171*b540 + 4224*b171*b541 + 5248*b171*b542 + 11218*b171*b543 + 9372*b171*
    b544 + 11644*b171*b545 + 5214*b171*b546 + 4356*b171*b547 + 5412*b171*b548
     + 6794*b171*b552 + 5676*b171*b553 + 7052*b171*b554 + 14852*b171*b555 + 
    12408*b171*b556 + 15416*b171*b557 + 4582*b171*b558 + 3828*b171*b559 + 4756*
    b171*b560 + 10112*b171*b561 + 8448*b171*b562 + 10496*b171*b563 + 15326*b171
    *b564 + 12804*b171*b565 + 15908*b171*b566 + 6004*b171*b567 + 5016*b171*b568
     + 6232*b171*b569 + 1896*b171*b570 + 1584*b171*b571 + 1968*b171*b572 + 
    15642*b171*b573 + 13068*b171*b574 + 16236*b171*b575 + 8058*b171*b576 + 6732
    *b171*b577 + 8364*b171*b578 + 13746*b171*b579 + 11484*b171*b580 + 14268*
    b171*b581 + 12008*b171*b582 + 10032*b171*b583 + 12464*b171*b584 + 11218*
    b171*b585 + 9372*b171*b586 + 11644*b171*b587 + 7426*b171*b588 + 6204*b171*
    b589 + 7708*b171*b590 + 7426*b171*b591 + 6204*b171*b592 + 7708*b171*b593 + 
    1422*b171*b594 + 1188*b171*b595 + 1476*b171*b596 + 11218*b171*b597 + 9372*
    b171*b598 + 11644*b171*b599 + 4000*b171*b600 + 7600*b171*b601 + 5400*b171*
    b602 + 9400*b171*b603 + 8600*b171*b604 + 6200*b171*b605 + 8400*b171*b606 + 
    3400*b171*b607 + 2700*b171*b608 + 9100*b171*b609 + 9000*b171*b610 + 3600*
    b171*b611 + 2900*b171*b612 + 6600*b171*b614 + 4200*b171*b615 + 2300*b171*
    b616 + 6200*b171*b617 + 6200*b171*b618 + 2800*b171*b619 + 7600*b171*b620 + 
    6600*b171*b621 + 8200*b171*b622 + 7600*b171*b623 + 11060*b171*b624 + 9240*
    b171*b625 + 11480*b171*b626 + 1548*b172*b179 + 4816*b172*b180 + 3784*b172*
    b181 + 1204*b172*b182 + 172*b172*b183 + 6622*b172*b184 + 2150*b172*b185 + 
    3268*b172*b186 + 3440*b172*b187 + 516*b172*b188 + 7482*b172*b189 + 4042*
    b172*b190 + 602*b172*b191 + 7052*b172*b192 + 3612*b172*b193 + 7396*b172*
    b195 + 5160*b172*b196 + 5332*b172*b197 + 5332*b172*b198 + 7138*b172*b199 + 
    7826*b172*b200 + 3384*b172*b201 + 10528*b172*b202 + 8272*b172*b203 + 2632*
    b172*b204 + 376*b172*b205 + 14476*b172*b206 + 4700*b172*b207 + 7144*b172*
    b208 + 7520*b172*b209 + 1128*b172*b210 + 16356*b172*b211 + 8836*b172*b212
     + 1316*b172*b213 + 15416*b172*b214 + 7896*b172*b215 + 16168*b172*b217 + 
    11280*b172*b218 + 11656*b172*b219 + 11656*b172*b220 + 15604*b172*b221 + 
    17108*b172*b222 + 1044*b172*b223 + 3248*b172*b224 + 2552*b172*b225 + 812*
    b172*b226 + 116*b172*b227 + 4466*b172*b228 + 1450*b172*b229 + 2204*b172*
    b230 + 2320*b172*b231 + 348*b172*b232 + 5046*b172*b233 + 2726*b172*b234 + 
    406*b172*b235 + 4756*b172*b236 + 2436*b172*b237 + 4988*b172*b239 + 3480*
    b172*b240 + 3596*b172*b241 + 3596*b172*b242 + 4814*b172*b243 + 5278*b172*
    b244 + 2304*b172*b245 + 7168*b172*b246 + 5632*b172*b247 + 1792*b172*b248 + 
    256*b172*b249 + 9856*b172*b250 + 3200*b172*b251 + 4864*b172*b252 + 5120*
    b172*b253 + 768*b172*b254 + 11136*b172*b255 + 6016*b172*b256 + 896*b172*
    b257 + 10496*b172*b258 + 5376*b172*b259 + 11008*b172*b261 + 7680*b172*b262
     + 7936*b172*b263 + 7936*b172*b264 + 10624*b172*b265 + 11648*b172*b266 + 
    3492*b172*b267 + 10864*b172*b268 + 8536*b172*b269 + 2716*b172*b270 + 388*
    b172*b271 + 14938*b172*b272 + 4850*b172*b273 + 7372*b172*b274 + 7760*b172*
    b275 + 1164*b172*b276 + 16878*b172*b277 + 9118*b172*b278 + 1358*b172*b279
     + 15908*b172*b280 + 8148*b172*b281 + 16684*b172*b283 + 11640*b172*b284 + 
    12028*b172*b285 + 12028*b172*b286 + 16102*b172*b287 + 17654*b172*b288 + 
    1368*b172*b289 + 4256*b172*b290 + 3344*b172*b291 + 1064*b172*b292 + 152*
    b172*b293 + 5852*b172*b294 + 1900*b172*b295 + 2888*b172*b296 + 3040*b172*
    b297 + 456*b172*b298 + 6612*b172*b299 + 3572*b172*b300 + 532*b172*b301 + 
    6232*b172*b302 + 3192*b172*b303 + 6536*b172*b305 + 4560*b172*b306 + 4712*
    b172*b307 + 4712*b172*b308 + 6308*b172*b309 + 6916*b172*b310 + 432*b172*
    b311 + 1344*b172*b312 + 1056*b172*b313 + 336*b172*b314 + 48*b172*b315 + 
    1848*b172*b316 + 600*b172*b317 + 912*b172*b318 + 960*b172*b319 + 144*b172*
    b320 + 2088*b172*b321 + 1128*b172*b322 + 168*b172*b323 + 1968*b172*b324 + 
    1008*b172*b325 + 2064*b172*b327 + 1440*b172*b328 + 1488*b172*b329 + 1488*
    b172*b330 + 1992*b172*b331 + 2184*b172*b332 + 3564*b172*b333 + 11088*b172*
    b334 + 8712*b172*b335 + 2772*b172*b336 + 396*b172*b337 + 15246*b172*b338 + 
    4950*b172*b339 + 7524*b172*b340 + 7920*b172*b341 + 1188*b172*b342 + 17226*
    b172*b343 + 9306*b172*b344 + 1386*b172*b345 + 16236*b172*b346 + 8316*b172*
    b347 + 17028*b172*b349 + 11880*b172*b350 + 12276*b172*b351 + 12276*b172*
    b352 + 16434*b172*b353 + 18018*b172*b354 + 1836*b172*b355 + 5712*b172*b356
     + 4488*b172*b357 + 1428*b172*b358 + 204*b172*b359 + 7854*b172*b360 + 2550*
    b172*b361 + 3876*b172*b362 + 4080*b172*b363 + 612*b172*b364 + 8874*b172*
    b365 + 4794*b172*b366 + 714*b172*b367 + 8364*b172*b368 + 4284*b172*b369 + 
    8772*b172*b371 + 6120*b172*b372 + 6324*b172*b373 + 6324*b172*b374 + 8466*
    b172*b375 + 9282*b172*b376 + 3132*b172*b377 + 9744*b172*b378 + 7656*b172*
    b379 + 2436*b172*b380 + 348*b172*b381 + 13398*b172*b382 + 4350*b172*b383 + 
    6612*b172*b384 + 6960*b172*b385 + 1044*b172*b386 + 15138*b172*b387 + 8178*
    b172*b388 + 1218*b172*b389 + 14268*b172*b390 + 7308*b172*b391 + 14964*b172*
    b393 + 10440*b172*b394 + 10788*b172*b395 + 10788*b172*b396 + 14442*b172*
    b397 + 15834*b172*b398 + 2736*b172*b399 + 8512*b172*b400 + 6688*b172*b401
     + 2128*b172*b402 + 304*b172*b403 + 11704*b172*b404 + 3800*b172*b405 + 5776
    *b172*b406 + 6080*b172*b407 + 912*b172*b408 + 13224*b172*b409 + 7144*b172*
    b410 + 1064*b172*b411 + 12464*b172*b412 + 6384*b172*b413 + 13072*b172*b415
     + 9120*b172*b416 + 9424*b172*b417 + 9424*b172*b418 + 12616*b172*b419 + 
    13832*b172*b420 + 2556*b172*b421 + 7952*b172*b422 + 6248*b172*b423 + 1988*
    b172*b424 + 284*b172*b425 + 10934*b172*b426 + 3550*b172*b427 + 5396*b172*
    b428 + 5680*b172*b429 + 852*b172*b430 + 12354*b172*b431 + 6674*b172*b432 + 
    994*b172*b433 + 11644*b172*b434 + 5964*b172*b435 + 12212*b172*b437 + 8520*
    b172*b438 + 8804*b172*b439 + 8804*b172*b440 + 11786*b172*b441 + 12922*b172*
    b442 + 1692*b172*b443 + 5264*b172*b444 + 4136*b172*b445 + 1316*b172*b446 + 
    188*b172*b447 + 7238*b172*b448 + 2350*b172*b449 + 3572*b172*b450 + 3760*
    b172*b451 + 564*b172*b452 + 8178*b172*b453 + 4418*b172*b454 + 658*b172*b455
     + 7708*b172*b456 + 3948*b172*b457 + 8084*b172*b459 + 5640*b172*b460 + 5828
    *b172*b461 + 5828*b172*b462 + 7802*b172*b463 + 8554*b172*b464 + 1692*b172*
    b465 + 5264*b172*b466 + 4136*b172*b467 + 1316*b172*b468 + 188*b172*b469 + 
    7238*b172*b470 + 2350*b172*b471 + 3572*b172*b472 + 3760*b172*b473 + 564*
    b172*b474 + 8178*b172*b475 + 4418*b172*b476 + 658*b172*b477 + 7708*b172*
    b478 + 3948*b172*b479 + 8084*b172*b481 + 5640*b172*b482 + 5828*b172*b483 + 
    5828*b172*b484 + 7802*b172*b485 + 8554*b172*b486 + 324*b172*b487 + 1008*
    b172*b488 + 792*b172*b489 + 252*b172*b490 + 36*b172*b491 + 1386*b172*b492
     + 450*b172*b493 + 684*b172*b494 + 720*b172*b495 + 108*b172*b496 + 1566*
    b172*b497 + 846*b172*b498 + 126*b172*b499 + 1476*b172*b500 + 756*b172*b501
     + 1548*b172*b503 + 1080*b172*b504 + 1116*b172*b505 + 1116*b172*b506 + 1494
    *b172*b507 + 1638*b172*b508 + 2556*b172*b509 + 7952*b172*b510 + 6248*b172*
    b511 + 1988*b172*b512 + 284*b172*b513 + 10934*b172*b514 + 3550*b172*b515 + 
    5396*b172*b516 + 5680*b172*b517 + 852*b172*b518 + 12354*b172*b519 + 6674*
    b172*b520 + 994*b172*b521 + 11644*b172*b522 + 5964*b172*b523 + 12212*b172*
    b525 + 8520*b172*b526 + 8804*b172*b527 + 8804*b172*b528 + 11786*b172*b529
     + 12922*b172*b530 + 3560*b172*b531 + 3920*b172*b532 + 2280*b172*b533 + 
    12638*b172*b534 + 13916*b172*b535 + 8094*b172*b536 + 12460*b172*b537 + 
    13720*b172*b538 + 7980*b172*b539 + 5696*b172*b540 + 6272*b172*b541 + 3648*
    b172*b542 + 12638*b172*b543 + 13916*b172*b544 + 8094*b172*b545 + 5874*b172*
    b546 + 6468*b172*b547 + 3762*b172*b548 + 7654*b172*b552 + 8428*b172*b553 + 
    4902*b172*b554 + 16732*b172*b555 + 18424*b172*b556 + 10716*b172*b557 + 5162
    *b172*b558 + 5684*b172*b559 + 3306*b172*b560 + 11392*b172*b561 + 12544*b172
    *b562 + 7296*b172*b563 + 17266*b172*b564 + 19012*b172*b565 + 11058*b172*
    b566 + 6764*b172*b567 + 7448*b172*b568 + 4332*b172*b569 + 2136*b172*b570 + 
    2352*b172*b571 + 1368*b172*b572 + 17622*b172*b573 + 19404*b172*b574 + 11286
    *b172*b575 + 9078*b172*b576 + 9996*b172*b577 + 5814*b172*b578 + 15486*b172*
    b579 + 17052*b172*b580 + 9918*b172*b581 + 13528*b172*b582 + 14896*b172*b583
     + 8664*b172*b584 + 12638*b172*b585 + 13916*b172*b586 + 8094*b172*b587 + 
    8366*b172*b588 + 9212*b172*b589 + 5358*b172*b590 + 8366*b172*b591 + 9212*
    b172*b592 + 5358*b172*b593 + 1602*b172*b594 + 1764*b172*b595 + 1026*b172*
    b596 + 12638*b172*b597 + 13916*b172*b598 + 8094*b172*b599 + 5600*b172*b600
     + 4400*b172*b601 + 1400*b172*b602 + 200*b172*b603 + 7700*b172*b604 + 2500*
    b172*b605 + 3800*b172*b606 + 4000*b172*b607 + 600*b172*b608 + 8700*b172*
    b609 + 4700*b172*b610 + 700*b172*b611 + 8200*b172*b612 + 4200*b172*b613 + 
    9800*b172*b614 + 8600*b172*b616 + 6000*b172*b617 + 6200*b172*b618 + 6200*
    b172*b619 + 8300*b172*b620 + 9100*b172*b621 + 5700*b172*b622 + 1800*b172*
    b623 + 12460*b172*b624 + 13720*b172*b625 + 7980*b172*b626 + 4902*b173*b179
     + 86*b173*b180 + 7310*b173*b181 + 6106*b173*b182 + 860*b173*b183 + 1290*
    b173*b184 + 6450*b173*b185 + 3526*b173*b186 + 5934*b173*b187 + 5762*b173*
    b188 + 6192*b173*b189 + 2150*b173*b190 + 7224*b173*b191 + 2494*b173*b192 + 
    1978*b173*b193 + 7396*b173*b194 + 5332*b173*b196 + 3096*b173*b197 + 172*
    b173*b198 + 172*b173*b199 + 3698*b173*b200 + 10716*b173*b201 + 188*b173*
    b202 + 15980*b173*b203 + 13348*b173*b204 + 1880*b173*b205 + 2820*b173*b206
     + 14100*b173*b207 + 7708*b173*b208 + 12972*b173*b209 + 12596*b173*b210 + 
    13536*b173*b211 + 4700*b173*b212 + 15792*b173*b213 + 5452*b173*b214 + 4324*
    b173*b215 + 16168*b173*b216 + 11656*b173*b218 + 6768*b173*b219 + 376*b173*
    b220 + 376*b173*b221 + 8084*b173*b222 + 3306*b173*b223 + 58*b173*b224 + 
    4930*b173*b225 + 4118*b173*b226 + 580*b173*b227 + 870*b173*b228 + 4350*b173
    *b229 + 2378*b173*b230 + 4002*b173*b231 + 3886*b173*b232 + 4176*b173*b233
     + 1450*b173*b234 + 4872*b173*b235 + 1682*b173*b236 + 1334*b173*b237 + 4988
    *b173*b238 + 3596*b173*b240 + 2088*b173*b241 + 116*b173*b242 + 116*b173*
    b243 + 2494*b173*b244 + 7296*b173*b245 + 128*b173*b246 + 10880*b173*b247 + 
    9088*b173*b248 + 1280*b173*b249 + 1920*b173*b250 + 9600*b173*b251 + 5248*
    b173*b252 + 8832*b173*b253 + 8576*b173*b254 + 9216*b173*b255 + 3200*b173*
    b256 + 10752*b173*b257 + 3712*b173*b258 + 2944*b173*b259 + 11008*b173*b260
     + 7936*b173*b262 + 4608*b173*b263 + 256*b173*b264 + 256*b173*b265 + 5504*
    b173*b266 + 11058*b173*b267 + 194*b173*b268 + 16490*b173*b269 + 13774*b173*
    b270 + 1940*b173*b271 + 2910*b173*b272 + 14550*b173*b273 + 7954*b173*b274
     + 13386*b173*b275 + 12998*b173*b276 + 13968*b173*b277 + 4850*b173*b278 + 
    16296*b173*b279 + 5626*b173*b280 + 4462*b173*b281 + 16684*b173*b282 + 12028
    *b173*b284 + 6984*b173*b285 + 388*b173*b286 + 388*b173*b287 + 8342*b173*
    b288 + 4332*b173*b289 + 76*b173*b290 + 6460*b173*b291 + 5396*b173*b292 + 
    760*b173*b293 + 1140*b173*b294 + 5700*b173*b295 + 3116*b173*b296 + 5244*
    b173*b297 + 5092*b173*b298 + 5472*b173*b299 + 1900*b173*b300 + 6384*b173*
    b301 + 2204*b173*b302 + 1748*b173*b303 + 6536*b173*b304 + 4712*b173*b306 + 
    2736*b173*b307 + 152*b173*b308 + 152*b173*b309 + 3268*b173*b310 + 1368*b173
    *b311 + 24*b173*b312 + 2040*b173*b313 + 1704*b173*b314 + 240*b173*b315 + 
    360*b173*b316 + 1800*b173*b317 + 984*b173*b318 + 1656*b173*b319 + 1608*b173
    *b320 + 1728*b173*b321 + 600*b173*b322 + 2016*b173*b323 + 696*b173*b324 + 
    552*b173*b325 + 2064*b173*b326 + 1488*b173*b328 + 864*b173*b329 + 48*b173*
    b330 + 48*b173*b331 + 1032*b173*b332 + 11286*b173*b333 + 198*b173*b334 + 
    16830*b173*b335 + 14058*b173*b336 + 1980*b173*b337 + 2970*b173*b338 + 14850
    *b173*b339 + 8118*b173*b340 + 13662*b173*b341 + 13266*b173*b342 + 14256*
    b173*b343 + 4950*b173*b344 + 16632*b173*b345 + 5742*b173*b346 + 4554*b173*
    b347 + 17028*b173*b348 + 12276*b173*b350 + 7128*b173*b351 + 396*b173*b352
     + 396*b173*b353 + 8514*b173*b354 + 5814*b173*b355 + 102*b173*b356 + 8670*
    b173*b357 + 7242*b173*b358 + 1020*b173*b359 + 1530*b173*b360 + 7650*b173*
    b361 + 4182*b173*b362 + 7038*b173*b363 + 6834*b173*b364 + 7344*b173*b365 + 
    2550*b173*b366 + 8568*b173*b367 + 2958*b173*b368 + 2346*b173*b369 + 8772*
    b173*b370 + 6324*b173*b372 + 3672*b173*b373 + 204*b173*b374 + 204*b173*b375
     + 4386*b173*b376 + 9918*b173*b377 + 174*b173*b378 + 14790*b173*b379 + 
    12354*b173*b380 + 1740*b173*b381 + 2610*b173*b382 + 13050*b173*b383 + 7134*
    b173*b384 + 12006*b173*b385 + 11658*b173*b386 + 12528*b173*b387 + 4350*b173
    *b388 + 14616*b173*b389 + 5046*b173*b390 + 4002*b173*b391 + 14964*b173*b392
     + 10788*b173*b394 + 6264*b173*b395 + 348*b173*b396 + 348*b173*b397 + 7482*
    b173*b398 + 8664*b173*b399 + 152*b173*b400 + 12920*b173*b401 + 10792*b173*
    b402 + 1520*b173*b403 + 2280*b173*b404 + 11400*b173*b405 + 6232*b173*b406
     + 10488*b173*b407 + 10184*b173*b408 + 10944*b173*b409 + 3800*b173*b410 + 
    12768*b173*b411 + 4408*b173*b412 + 3496*b173*b413 + 13072*b173*b414 + 9424*
    b173*b416 + 5472*b173*b417 + 304*b173*b418 + 304*b173*b419 + 6536*b173*b420
     + 8094*b173*b421 + 142*b173*b422 + 12070*b173*b423 + 10082*b173*b424 + 
    1420*b173*b425 + 2130*b173*b426 + 10650*b173*b427 + 5822*b173*b428 + 9798*
    b173*b429 + 9514*b173*b430 + 10224*b173*b431 + 3550*b173*b432 + 11928*b173*
    b433 + 4118*b173*b434 + 3266*b173*b435 + 12212*b173*b436 + 8804*b173*b438
     + 5112*b173*b439 + 284*b173*b440 + 284*b173*b441 + 6106*b173*b442 + 5358*
    b173*b443 + 94*b173*b444 + 7990*b173*b445 + 6674*b173*b446 + 940*b173*b447
     + 1410*b173*b448 + 7050*b173*b449 + 3854*b173*b450 + 6486*b173*b451 + 6298
    *b173*b452 + 6768*b173*b453 + 2350*b173*b454 + 7896*b173*b455 + 2726*b173*
    b456 + 2162*b173*b457 + 8084*b173*b458 + 5828*b173*b460 + 3384*b173*b461 + 
    188*b173*b462 + 188*b173*b463 + 4042*b173*b464 + 5358*b173*b465 + 94*b173*
    b466 + 7990*b173*b467 + 6674*b173*b468 + 940*b173*b469 + 1410*b173*b470 + 
    7050*b173*b471 + 3854*b173*b472 + 6486*b173*b473 + 6298*b173*b474 + 6768*
    b173*b475 + 2350*b173*b476 + 7896*b173*b477 + 2726*b173*b478 + 2162*b173*
    b479 + 8084*b173*b480 + 5828*b173*b482 + 3384*b173*b483 + 188*b173*b484 + 
    188*b173*b485 + 4042*b173*b486 + 1026*b173*b487 + 18*b173*b488 + 1530*b173*
    b489 + 1278*b173*b490 + 180*b173*b491 + 270*b173*b492 + 1350*b173*b493 + 
    738*b173*b494 + 1242*b173*b495 + 1206*b173*b496 + 1296*b173*b497 + 450*b173
    *b498 + 1512*b173*b499 + 522*b173*b500 + 414*b173*b501 + 1548*b173*b502 + 
    1116*b173*b504 + 648*b173*b505 + 36*b173*b506 + 36*b173*b507 + 774*b173*
    b508 + 8094*b173*b509 + 142*b173*b510 + 12070*b173*b511 + 10082*b173*b512
     + 1420*b173*b513 + 2130*b173*b514 + 10650*b173*b515 + 5822*b173*b516 + 
    9798*b173*b517 + 9514*b173*b518 + 10224*b173*b519 + 3550*b173*b520 + 11928*
    b173*b521 + 4118*b173*b522 + 3266*b173*b523 + 12212*b173*b524 + 8804*b173*
    b526 + 5112*b173*b527 + 284*b173*b528 + 284*b173*b529 + 6106*b173*b530 + 
    1400*b173*b531 + 1400*b173*b532 + 2600*b173*b533 + 4970*b173*b534 + 4970*
    b173*b535 + 9230*b173*b536 + 4900*b173*b537 + 4900*b173*b538 + 9100*b173*
    b539 + 2240*b173*b540 + 2240*b173*b541 + 4160*b173*b542 + 4970*b173*b543 + 
    4970*b173*b544 + 9230*b173*b545 + 2310*b173*b546 + 2310*b173*b547 + 4290*
    b173*b548 + 3010*b173*b552 + 3010*b173*b553 + 5590*b173*b554 + 6580*b173*
    b555 + 6580*b173*b556 + 12220*b173*b557 + 2030*b173*b558 + 2030*b173*b559
     + 3770*b173*b560 + 4480*b173*b561 + 4480*b173*b562 + 8320*b173*b563 + 6790
    *b173*b564 + 6790*b173*b565 + 12610*b173*b566 + 2660*b173*b567 + 2660*b173*
    b568 + 4940*b173*b569 + 840*b173*b570 + 840*b173*b571 + 1560*b173*b572 + 
    6930*b173*b573 + 6930*b173*b574 + 12870*b173*b575 + 3570*b173*b576 + 3570*
    b173*b577 + 6630*b173*b578 + 6090*b173*b579 + 6090*b173*b580 + 11310*b173*
    b581 + 5320*b173*b582 + 5320*b173*b583 + 9880*b173*b584 + 4970*b173*b585 + 
    4970*b173*b586 + 9230*b173*b587 + 3290*b173*b588 + 3290*b173*b589 + 6110*
    b173*b590 + 3290*b173*b591 + 3290*b173*b592 + 6110*b173*b593 + 630*b173*
    b594 + 630*b173*b595 + 1170*b173*b596 + 4970*b173*b597 + 4970*b173*b598 + 
    9230*b173*b599 + 100*b173*b600 + 8500*b173*b601 + 7100*b173*b602 + 1000*
    b173*b603 + 1500*b173*b604 + 7500*b173*b605 + 4100*b173*b606 + 6900*b173*
    b607 + 6700*b173*b608 + 7200*b173*b609 + 2500*b173*b610 + 8400*b173*b611 + 
    2900*b173*b612 + 2300*b173*b613 + 3500*b173*b614 + 8600*b173*b615 + 6200*
    b173*b617 + 3600*b173*b618 + 200*b173*b619 + 200*b173*b620 + 4300*b173*b621
     + 6500*b173*b622 + 5700*b173*b623 + 4900*b173*b624 + 4900*b173*b625 + 9100
    *b173*b626 + 3096*b174*b179 + 4300*b174*b180 + 8084*b174*b181 + 6622*b174*
    b182 + 8514*b174*b183 + 7654*b174*b184 + 6536*b174*b185 + 4816*b174*b186 + 
    1032*b174*b187 + 2236*b174*b188 + 3870*b174*b189 + 2580*b174*b190 + 516*
    b174*b191 + 258*b174*b192 + 5332*b174*b193 + 5160*b174*b194 + 5332*b174*
    b195 + 3182*b174*b197 + 4214*b174*b198 + 5246*b174*b199 + 430*b174*b200 + 
    6768*b174*b201 + 9400*b174*b202 + 17672*b174*b203 + 14476*b174*b204 + 18612
    *b174*b205 + 16732*b174*b206 + 14288*b174*b207 + 10528*b174*b208 + 2256*
    b174*b209 + 4888*b174*b210 + 8460*b174*b211 + 5640*b174*b212 + 1128*b174*
    b213 + 564*b174*b214 + 11656*b174*b215 + 11280*b174*b216 + 11656*b174*b217
     + 6956*b174*b219 + 9212*b174*b220 + 11468*b174*b221 + 940*b174*b222 + 2088
    *b174*b223 + 2900*b174*b224 + 5452*b174*b225 + 4466*b174*b226 + 5742*b174*
    b227 + 5162*b174*b228 + 4408*b174*b229 + 3248*b174*b230 + 696*b174*b231 + 
    1508*b174*b232 + 2610*b174*b233 + 1740*b174*b234 + 348*b174*b235 + 174*b174
    *b236 + 3596*b174*b237 + 3480*b174*b238 + 3596*b174*b239 + 2146*b174*b241
     + 2842*b174*b242 + 3538*b174*b243 + 290*b174*b244 + 4608*b174*b245 + 6400*
    b174*b246 + 12032*b174*b247 + 9856*b174*b248 + 12672*b174*b249 + 11392*b174
    *b250 + 9728*b174*b251 + 7168*b174*b252 + 1536*b174*b253 + 3328*b174*b254
     + 5760*b174*b255 + 3840*b174*b256 + 768*b174*b257 + 384*b174*b258 + 7936*
    b174*b259 + 7680*b174*b260 + 7936*b174*b261 + 4736*b174*b263 + 6272*b174*
    b264 + 7808*b174*b265 + 640*b174*b266 + 6984*b174*b267 + 9700*b174*b268 + 
    18236*b174*b269 + 14938*b174*b270 + 19206*b174*b271 + 17266*b174*b272 + 
    14744*b174*b273 + 10864*b174*b274 + 2328*b174*b275 + 5044*b174*b276 + 8730*
    b174*b277 + 5820*b174*b278 + 1164*b174*b279 + 582*b174*b280 + 12028*b174*
    b281 + 11640*b174*b282 + 12028*b174*b283 + 7178*b174*b285 + 9506*b174*b286
     + 11834*b174*b287 + 970*b174*b288 + 2736*b174*b289 + 3800*b174*b290 + 7144
    *b174*b291 + 5852*b174*b292 + 7524*b174*b293 + 6764*b174*b294 + 5776*b174*
    b295 + 4256*b174*b296 + 912*b174*b297 + 1976*b174*b298 + 3420*b174*b299 + 
    2280*b174*b300 + 456*b174*b301 + 228*b174*b302 + 4712*b174*b303 + 4560*b174
    *b304 + 4712*b174*b305 + 2812*b174*b307 + 3724*b174*b308 + 4636*b174*b309
     + 380*b174*b310 + 864*b174*b311 + 1200*b174*b312 + 2256*b174*b313 + 1848*
    b174*b314 + 2376*b174*b315 + 2136*b174*b316 + 1824*b174*b317 + 1344*b174*
    b318 + 288*b174*b319 + 624*b174*b320 + 1080*b174*b321 + 720*b174*b322 + 144
    *b174*b323 + 72*b174*b324 + 1488*b174*b325 + 1440*b174*b326 + 1488*b174*
    b327 + 888*b174*b329 + 1176*b174*b330 + 1464*b174*b331 + 120*b174*b332 + 
    7128*b174*b333 + 9900*b174*b334 + 18612*b174*b335 + 15246*b174*b336 + 19602
    *b174*b337 + 17622*b174*b338 + 15048*b174*b339 + 11088*b174*b340 + 2376*
    b174*b341 + 5148*b174*b342 + 8910*b174*b343 + 5940*b174*b344 + 1188*b174*
    b345 + 594*b174*b346 + 12276*b174*b347 + 11880*b174*b348 + 12276*b174*b349
     + 7326*b174*b351 + 9702*b174*b352 + 12078*b174*b353 + 990*b174*b354 + 3672
    *b174*b355 + 5100*b174*b356 + 9588*b174*b357 + 7854*b174*b358 + 10098*b174*
    b359 + 9078*b174*b360 + 7752*b174*b361 + 5712*b174*b362 + 1224*b174*b363 + 
    2652*b174*b364 + 4590*b174*b365 + 3060*b174*b366 + 612*b174*b367 + 306*b174
    *b368 + 6324*b174*b369 + 6120*b174*b370 + 6324*b174*b371 + 3774*b174*b373
     + 4998*b174*b374 + 6222*b174*b375 + 510*b174*b376 + 6264*b174*b377 + 8700*
    b174*b378 + 16356*b174*b379 + 13398*b174*b380 + 17226*b174*b381 + 15486*
    b174*b382 + 13224*b174*b383 + 9744*b174*b384 + 2088*b174*b385 + 4524*b174*
    b386 + 7830*b174*b387 + 5220*b174*b388 + 1044*b174*b389 + 522*b174*b390 + 
    10788*b174*b391 + 10440*b174*b392 + 10788*b174*b393 + 6438*b174*b395 + 8526
    *b174*b396 + 10614*b174*b397 + 870*b174*b398 + 5472*b174*b399 + 7600*b174*
    b400 + 14288*b174*b401 + 11704*b174*b402 + 15048*b174*b403 + 13528*b174*
    b404 + 11552*b174*b405 + 8512*b174*b406 + 1824*b174*b407 + 3952*b174*b408
     + 6840*b174*b409 + 4560*b174*b410 + 912*b174*b411 + 456*b174*b412 + 9424*
    b174*b413 + 9120*b174*b414 + 9424*b174*b415 + 5624*b174*b417 + 7448*b174*
    b418 + 9272*b174*b419 + 760*b174*b420 + 5112*b174*b421 + 7100*b174*b422 + 
    13348*b174*b423 + 10934*b174*b424 + 14058*b174*b425 + 12638*b174*b426 + 
    10792*b174*b427 + 7952*b174*b428 + 1704*b174*b429 + 3692*b174*b430 + 6390*
    b174*b431 + 4260*b174*b432 + 852*b174*b433 + 426*b174*b434 + 8804*b174*b435
     + 8520*b174*b436 + 8804*b174*b437 + 5254*b174*b439 + 6958*b174*b440 + 8662
    *b174*b441 + 710*b174*b442 + 3384*b174*b443 + 4700*b174*b444 + 8836*b174*
    b445 + 7238*b174*b446 + 9306*b174*b447 + 8366*b174*b448 + 7144*b174*b449 + 
    5264*b174*b450 + 1128*b174*b451 + 2444*b174*b452 + 4230*b174*b453 + 2820*
    b174*b454 + 564*b174*b455 + 282*b174*b456 + 5828*b174*b457 + 5640*b174*b458
     + 5828*b174*b459 + 3478*b174*b461 + 4606*b174*b462 + 5734*b174*b463 + 470*
    b174*b464 + 3384*b174*b465 + 4700*b174*b466 + 8836*b174*b467 + 7238*b174*
    b468 + 9306*b174*b469 + 8366*b174*b470 + 7144*b174*b471 + 5264*b174*b472 + 
    1128*b174*b473 + 2444*b174*b474 + 4230*b174*b475 + 2820*b174*b476 + 564*
    b174*b477 + 282*b174*b478 + 5828*b174*b479 + 5640*b174*b480 + 5828*b174*
    b481 + 3478*b174*b483 + 4606*b174*b484 + 5734*b174*b485 + 470*b174*b486 + 
    648*b174*b487 + 900*b174*b488 + 1692*b174*b489 + 1386*b174*b490 + 1782*b174
    *b491 + 1602*b174*b492 + 1368*b174*b493 + 1008*b174*b494 + 216*b174*b495 + 
    468*b174*b496 + 810*b174*b497 + 540*b174*b498 + 108*b174*b499 + 54*b174*
    b500 + 1116*b174*b501 + 1080*b174*b502 + 1116*b174*b503 + 666*b174*b505 + 
    882*b174*b506 + 1098*b174*b507 + 90*b174*b508 + 5112*b174*b509 + 7100*b174*
    b510 + 13348*b174*b511 + 10934*b174*b512 + 14058*b174*b513 + 12638*b174*
    b514 + 10792*b174*b515 + 7952*b174*b516 + 1704*b174*b517 + 3692*b174*b518
     + 6390*b174*b519 + 4260*b174*b520 + 852*b174*b521 + 426*b174*b522 + 8804*
    b174*b523 + 8520*b174*b524 + 8804*b174*b525 + 5254*b174*b527 + 6958*b174*
    b528 + 8662*b174*b529 + 710*b174*b530 + 360*b174*b531 + 600*b174*b532 + 
    1360*b174*b533 + 1278*b174*b534 + 2130*b174*b535 + 4828*b174*b536 + 1260*
    b174*b537 + 2100*b174*b538 + 4760*b174*b539 + 576*b174*b540 + 960*b174*b541
     + 2176*b174*b542 + 1278*b174*b543 + 2130*b174*b544 + 4828*b174*b545 + 594*
    b174*b546 + 990*b174*b547 + 2244*b174*b548 + 774*b174*b552 + 1290*b174*b553
     + 2924*b174*b554 + 1692*b174*b555 + 2820*b174*b556 + 6392*b174*b557 + 522*
    b174*b558 + 870*b174*b559 + 1972*b174*b560 + 1152*b174*b561 + 1920*b174*
    b562 + 4352*b174*b563 + 1746*b174*b564 + 2910*b174*b565 + 6596*b174*b566 + 
    684*b174*b567 + 1140*b174*b568 + 2584*b174*b569 + 216*b174*b570 + 360*b174*
    b571 + 816*b174*b572 + 1782*b174*b573 + 2970*b174*b574 + 6732*b174*b575 + 
    918*b174*b576 + 1530*b174*b577 + 3468*b174*b578 + 1566*b174*b579 + 2610*
    b174*b580 + 5916*b174*b581 + 1368*b174*b582 + 2280*b174*b583 + 5168*b174*
    b584 + 1278*b174*b585 + 2130*b174*b586 + 4828*b174*b587 + 846*b174*b588 + 
    1410*b174*b589 + 3196*b174*b590 + 846*b174*b591 + 1410*b174*b592 + 3196*
    b174*b593 + 162*b174*b594 + 270*b174*b595 + 612*b174*b596 + 1278*b174*b597
     + 2130*b174*b598 + 4828*b174*b599 + 5000*b174*b600 + 9400*b174*b601 + 7700
    *b174*b602 + 9900*b174*b603 + 8900*b174*b604 + 7600*b174*b605 + 5600*b174*
    b606 + 1200*b174*b607 + 2600*b174*b608 + 4500*b174*b609 + 3000*b174*b610 + 
    600*b174*b611 + 300*b174*b612 + 6200*b174*b613 + 1500*b174*b614 + 6000*b174
    *b615 + 6200*b174*b616 + 3700*b174*b618 + 4900*b174*b619 + 6100*b174*b620
     + 500*b174*b621 + 3400*b174*b622 + 3600*b174*b623 + 1260*b174*b624 + 2100*
    b174*b625 + 4760*b174*b626 + 5246*b175*b179 + 344*b175*b180 + 7740*b175*
    b181 + 3096*b175*b182 + 4816*b175*b183 + 4128*b175*b184 + 3440*b175*b185 + 
    3354*b175*b186 + 7310*b175*b187 + 7052*b175*b188 + 8256*b175*b189 + 3698*
    b175*b190 + 258*b175*b192 + 5332*b175*b193 + 5332*b175*b194 + 3096*b175*
    b195 + 3182*b175*b196 + 4558*b175*b198 + 8256*b175*b199 + 7052*b175*b200 + 
    11468*b175*b201 + 752*b175*b202 + 16920*b175*b203 + 6768*b175*b204 + 10528*
    b175*b205 + 9024*b175*b206 + 7520*b175*b207 + 7332*b175*b208 + 15980*b175*
    b209 + 15416*b175*b210 + 18048*b175*b211 + 8084*b175*b212 + 564*b175*b214
     + 11656*b175*b215 + 11656*b175*b216 + 6768*b175*b217 + 6956*b175*b218 + 
    9964*b175*b220 + 18048*b175*b221 + 15416*b175*b222 + 3538*b175*b223 + 232*
    b175*b224 + 5220*b175*b225 + 2088*b175*b226 + 3248*b175*b227 + 2784*b175*
    b228 + 2320*b175*b229 + 2262*b175*b230 + 4930*b175*b231 + 4756*b175*b232 + 
    5568*b175*b233 + 2494*b175*b234 + 174*b175*b236 + 3596*b175*b237 + 3596*
    b175*b238 + 2088*b175*b239 + 2146*b175*b240 + 3074*b175*b242 + 5568*b175*
    b243 + 4756*b175*b244 + 7808*b175*b245 + 512*b175*b246 + 11520*b175*b247 + 
    4608*b175*b248 + 7168*b175*b249 + 6144*b175*b250 + 5120*b175*b251 + 4992*
    b175*b252 + 10880*b175*b253 + 10496*b175*b254 + 12288*b175*b255 + 5504*b175
    *b256 + 384*b175*b258 + 7936*b175*b259 + 7936*b175*b260 + 4608*b175*b261 + 
    4736*b175*b262 + 6784*b175*b264 + 12288*b175*b265 + 10496*b175*b266 + 11834
    *b175*b267 + 776*b175*b268 + 17460*b175*b269 + 6984*b175*b270 + 10864*b175*
    b271 + 9312*b175*b272 + 7760*b175*b273 + 7566*b175*b274 + 16490*b175*b275
     + 15908*b175*b276 + 18624*b175*b277 + 8342*b175*b278 + 582*b175*b280 + 
    12028*b175*b281 + 12028*b175*b282 + 6984*b175*b283 + 7178*b175*b284 + 10282
    *b175*b286 + 18624*b175*b287 + 15908*b175*b288 + 4636*b175*b289 + 304*b175*
    b290 + 6840*b175*b291 + 2736*b175*b292 + 4256*b175*b293 + 3648*b175*b294 + 
    3040*b175*b295 + 2964*b175*b296 + 6460*b175*b297 + 6232*b175*b298 + 7296*
    b175*b299 + 3268*b175*b300 + 228*b175*b302 + 4712*b175*b303 + 4712*b175*
    b304 + 2736*b175*b305 + 2812*b175*b306 + 4028*b175*b308 + 7296*b175*b309 + 
    6232*b175*b310 + 1464*b175*b311 + 96*b175*b312 + 2160*b175*b313 + 864*b175*
    b314 + 1344*b175*b315 + 1152*b175*b316 + 960*b175*b317 + 936*b175*b318 + 
    2040*b175*b319 + 1968*b175*b320 + 2304*b175*b321 + 1032*b175*b322 + 72*b175
    *b324 + 1488*b175*b325 + 1488*b175*b326 + 864*b175*b327 + 888*b175*b328 + 
    1272*b175*b330 + 2304*b175*b331 + 1968*b175*b332 + 12078*b175*b333 + 792*
    b175*b334 + 17820*b175*b335 + 7128*b175*b336 + 11088*b175*b337 + 9504*b175*
    b338 + 7920*b175*b339 + 7722*b175*b340 + 16830*b175*b341 + 16236*b175*b342
     + 19008*b175*b343 + 8514*b175*b344 + 594*b175*b346 + 12276*b175*b347 + 
    12276*b175*b348 + 7128*b175*b349 + 7326*b175*b350 + 10494*b175*b352 + 19008
    *b175*b353 + 16236*b175*b354 + 6222*b175*b355 + 408*b175*b356 + 9180*b175*
    b357 + 3672*b175*b358 + 5712*b175*b359 + 4896*b175*b360 + 4080*b175*b361 + 
    3978*b175*b362 + 8670*b175*b363 + 8364*b175*b364 + 9792*b175*b365 + 4386*
    b175*b366 + 306*b175*b368 + 6324*b175*b369 + 6324*b175*b370 + 3672*b175*
    b371 + 3774*b175*b372 + 5406*b175*b374 + 9792*b175*b375 + 8364*b175*b376 + 
    10614*b175*b377 + 696*b175*b378 + 15660*b175*b379 + 6264*b175*b380 + 9744*
    b175*b381 + 8352*b175*b382 + 6960*b175*b383 + 6786*b175*b384 + 14790*b175*
    b385 + 14268*b175*b386 + 16704*b175*b387 + 7482*b175*b388 + 522*b175*b390
     + 10788*b175*b391 + 10788*b175*b392 + 6264*b175*b393 + 6438*b175*b394 + 
    9222*b175*b396 + 16704*b175*b397 + 14268*b175*b398 + 9272*b175*b399 + 608*
    b175*b400 + 13680*b175*b401 + 5472*b175*b402 + 8512*b175*b403 + 7296*b175*
    b404 + 6080*b175*b405 + 5928*b175*b406 + 12920*b175*b407 + 12464*b175*b408
     + 14592*b175*b409 + 6536*b175*b410 + 456*b175*b412 + 9424*b175*b413 + 9424
    *b175*b414 + 5472*b175*b415 + 5624*b175*b416 + 8056*b175*b418 + 14592*b175*
    b419 + 12464*b175*b420 + 8662*b175*b421 + 568*b175*b422 + 12780*b175*b423
     + 5112*b175*b424 + 7952*b175*b425 + 6816*b175*b426 + 5680*b175*b427 + 5538
    *b175*b428 + 12070*b175*b429 + 11644*b175*b430 + 13632*b175*b431 + 6106*
    b175*b432 + 426*b175*b434 + 8804*b175*b435 + 8804*b175*b436 + 5112*b175*
    b437 + 5254*b175*b438 + 7526*b175*b440 + 13632*b175*b441 + 11644*b175*b442
     + 5734*b175*b443 + 376*b175*b444 + 8460*b175*b445 + 3384*b175*b446 + 5264*
    b175*b447 + 4512*b175*b448 + 3760*b175*b449 + 3666*b175*b450 + 7990*b175*
    b451 + 7708*b175*b452 + 9024*b175*b453 + 4042*b175*b454 + 282*b175*b456 + 
    5828*b175*b457 + 5828*b175*b458 + 3384*b175*b459 + 3478*b175*b460 + 4982*
    b175*b462 + 9024*b175*b463 + 7708*b175*b464 + 5734*b175*b465 + 376*b175*
    b466 + 8460*b175*b467 + 3384*b175*b468 + 5264*b175*b469 + 4512*b175*b470 + 
    3760*b175*b471 + 3666*b175*b472 + 7990*b175*b473 + 7708*b175*b474 + 9024*
    b175*b475 + 4042*b175*b476 + 282*b175*b478 + 5828*b175*b479 + 5828*b175*
    b480 + 3384*b175*b481 + 3478*b175*b482 + 4982*b175*b484 + 9024*b175*b485 + 
    7708*b175*b486 + 1098*b175*b487 + 72*b175*b488 + 1620*b175*b489 + 648*b175*
    b490 + 1008*b175*b491 + 864*b175*b492 + 720*b175*b493 + 702*b175*b494 + 
    1530*b175*b495 + 1476*b175*b496 + 1728*b175*b497 + 774*b175*b498 + 54*b175*
    b500 + 1116*b175*b501 + 1116*b175*b502 + 648*b175*b503 + 666*b175*b504 + 
    954*b175*b506 + 1728*b175*b507 + 1476*b175*b508 + 8662*b175*b509 + 568*b175
    *b510 + 12780*b175*b511 + 5112*b175*b512 + 7952*b175*b513 + 6816*b175*b514
     + 5680*b175*b515 + 5538*b175*b516 + 12070*b175*b517 + 11644*b175*b518 + 
    13632*b175*b519 + 6106*b175*b520 + 426*b175*b522 + 8804*b175*b523 + 8804*
    b175*b524 + 5112*b175*b525 + 5254*b175*b526 + 7526*b175*b528 + 13632*b175*
    b529 + 11644*b175*b530 + 40*b175*b531 + 680*b175*b532 + 1920*b175*b533 + 
    142*b175*b534 + 2414*b175*b535 + 6816*b175*b536 + 140*b175*b537 + 2380*b175
    *b538 + 6720*b175*b539 + 64*b175*b540 + 1088*b175*b541 + 3072*b175*b542 + 
    142*b175*b543 + 2414*b175*b544 + 6816*b175*b545 + 66*b175*b546 + 1122*b175*
    b547 + 3168*b175*b548 + 86*b175*b552 + 1462*b175*b553 + 4128*b175*b554 + 
    188*b175*b555 + 3196*b175*b556 + 9024*b175*b557 + 58*b175*b558 + 986*b175*
    b559 + 2784*b175*b560 + 128*b175*b561 + 2176*b175*b562 + 6144*b175*b563 + 
    194*b175*b564 + 3298*b175*b565 + 9312*b175*b566 + 76*b175*b567 + 1292*b175*
    b568 + 3648*b175*b569 + 24*b175*b570 + 408*b175*b571 + 1152*b175*b572 + 198
    *b175*b573 + 3366*b175*b574 + 9504*b175*b575 + 102*b175*b576 + 1734*b175*
    b577 + 4896*b175*b578 + 174*b175*b579 + 2958*b175*b580 + 8352*b175*b581 + 
    152*b175*b582 + 2584*b175*b583 + 7296*b175*b584 + 142*b175*b585 + 2414*b175
    *b586 + 6816*b175*b587 + 94*b175*b588 + 1598*b175*b589 + 4512*b175*b590 + 
    94*b175*b591 + 1598*b175*b592 + 4512*b175*b593 + 18*b175*b594 + 306*b175*
    b595 + 864*b175*b596 + 142*b175*b597 + 2414*b175*b598 + 6816*b175*b599 + 
    400*b175*b600 + 9000*b175*b601 + 3600*b175*b602 + 5600*b175*b603 + 4800*
    b175*b604 + 4000*b175*b605 + 3900*b175*b606 + 8500*b175*b607 + 8200*b175*
    b608 + 9600*b175*b609 + 4300*b175*b610 + 300*b175*b612 + 6200*b175*b613 + 
    1700*b175*b614 + 6200*b175*b615 + 3600*b175*b616 + 3700*b175*b617 + 5300*
    b175*b619 + 9600*b175*b620 + 8200*b175*b621 + 4800*b175*b622 + 6100*b175*
    b623 + 140*b175*b624 + 2380*b175*b625 + 6720*b175*b626 + 3096*b176*b179 + 
    3096*b176*b180 + 4386*b176*b181 + 4558*b176*b182 + 6020*b176*b183 + 1204*
    b176*b184 + 5676*b176*b185 + 4558*b176*b186 + 6192*b176*b187 + 3784*b176*
    b188 + 602*b176*b189 + 8342*b176*b190 + 4386*b176*b192 + 2408*b176*b193 + 
    5332*b176*b194 + 172*b176*b195 + 4214*b176*b196 + 4558*b176*b197 + 2408*
    b176*b199 + 2666*b176*b200 + 6768*b176*b201 + 6768*b176*b202 + 9588*b176*
    b203 + 9964*b176*b204 + 13160*b176*b205 + 2632*b176*b206 + 12408*b176*b207
     + 9964*b176*b208 + 13536*b176*b209 + 8272*b176*b210 + 1316*b176*b211 + 
    18236*b176*b212 + 9588*b176*b214 + 5264*b176*b215 + 11656*b176*b216 + 376*
    b176*b217 + 9212*b176*b218 + 9964*b176*b219 + 5264*b176*b221 + 5828*b176*
    b222 + 2088*b176*b223 + 2088*b176*b224 + 2958*b176*b225 + 3074*b176*b226 + 
    4060*b176*b227 + 812*b176*b228 + 3828*b176*b229 + 3074*b176*b230 + 4176*
    b176*b231 + 2552*b176*b232 + 406*b176*b233 + 5626*b176*b234 + 2958*b176*
    b236 + 1624*b176*b237 + 3596*b176*b238 + 116*b176*b239 + 2842*b176*b240 + 
    3074*b176*b241 + 1624*b176*b243 + 1798*b176*b244 + 4608*b176*b245 + 4608*
    b176*b246 + 6528*b176*b247 + 6784*b176*b248 + 8960*b176*b249 + 1792*b176*
    b250 + 8448*b176*b251 + 6784*b176*b252 + 9216*b176*b253 + 5632*b176*b254 + 
    896*b176*b255 + 12416*b176*b256 + 6528*b176*b258 + 3584*b176*b259 + 7936*
    b176*b260 + 256*b176*b261 + 6272*b176*b262 + 6784*b176*b263 + 3584*b176*
    b265 + 3968*b176*b266 + 6984*b176*b267 + 6984*b176*b268 + 9894*b176*b269 + 
    10282*b176*b270 + 13580*b176*b271 + 2716*b176*b272 + 12804*b176*b273 + 
    10282*b176*b274 + 13968*b176*b275 + 8536*b176*b276 + 1358*b176*b277 + 18818
    *b176*b278 + 9894*b176*b280 + 5432*b176*b281 + 12028*b176*b282 + 388*b176*
    b283 + 9506*b176*b284 + 10282*b176*b285 + 5432*b176*b287 + 6014*b176*b288
     + 2736*b176*b289 + 2736*b176*b290 + 3876*b176*b291 + 4028*b176*b292 + 5320
    *b176*b293 + 1064*b176*b294 + 5016*b176*b295 + 4028*b176*b296 + 5472*b176*
    b297 + 3344*b176*b298 + 532*b176*b299 + 7372*b176*b300 + 3876*b176*b302 + 
    2128*b176*b303 + 4712*b176*b304 + 152*b176*b305 + 3724*b176*b306 + 4028*
    b176*b307 + 2128*b176*b309 + 2356*b176*b310 + 864*b176*b311 + 864*b176*b312
     + 1224*b176*b313 + 1272*b176*b314 + 1680*b176*b315 + 336*b176*b316 + 1584*
    b176*b317 + 1272*b176*b318 + 1728*b176*b319 + 1056*b176*b320 + 168*b176*
    b321 + 2328*b176*b322 + 1224*b176*b324 + 672*b176*b325 + 1488*b176*b326 + 
    48*b176*b327 + 1176*b176*b328 + 1272*b176*b329 + 672*b176*b331 + 744*b176*
    b332 + 7128*b176*b333 + 7128*b176*b334 + 10098*b176*b335 + 10494*b176*b336
     + 13860*b176*b337 + 2772*b176*b338 + 13068*b176*b339 + 10494*b176*b340 + 
    14256*b176*b341 + 8712*b176*b342 + 1386*b176*b343 + 19206*b176*b344 + 10098
    *b176*b346 + 5544*b176*b347 + 12276*b176*b348 + 396*b176*b349 + 9702*b176*
    b350 + 10494*b176*b351 + 5544*b176*b353 + 6138*b176*b354 + 3672*b176*b355
     + 3672*b176*b356 + 5202*b176*b357 + 5406*b176*b358 + 7140*b176*b359 + 1428
    *b176*b360 + 6732*b176*b361 + 5406*b176*b362 + 7344*b176*b363 + 4488*b176*
    b364 + 714*b176*b365 + 9894*b176*b366 + 5202*b176*b368 + 2856*b176*b369 + 
    6324*b176*b370 + 204*b176*b371 + 4998*b176*b372 + 5406*b176*b373 + 2856*
    b176*b375 + 3162*b176*b376 + 6264*b176*b377 + 6264*b176*b378 + 8874*b176*
    b379 + 9222*b176*b380 + 12180*b176*b381 + 2436*b176*b382 + 11484*b176*b383
     + 9222*b176*b384 + 12528*b176*b385 + 7656*b176*b386 + 1218*b176*b387 + 
    16878*b176*b388 + 8874*b176*b390 + 4872*b176*b391 + 10788*b176*b392 + 348*
    b176*b393 + 8526*b176*b394 + 9222*b176*b395 + 4872*b176*b397 + 5394*b176*
    b398 + 5472*b176*b399 + 5472*b176*b400 + 7752*b176*b401 + 8056*b176*b402 + 
    10640*b176*b403 + 2128*b176*b404 + 10032*b176*b405 + 8056*b176*b406 + 10944
    *b176*b407 + 6688*b176*b408 + 1064*b176*b409 + 14744*b176*b410 + 7752*b176*
    b412 + 4256*b176*b413 + 9424*b176*b414 + 304*b176*b415 + 7448*b176*b416 + 
    8056*b176*b417 + 4256*b176*b419 + 4712*b176*b420 + 5112*b176*b421 + 5112*
    b176*b422 + 7242*b176*b423 + 7526*b176*b424 + 9940*b176*b425 + 1988*b176*
    b426 + 9372*b176*b427 + 7526*b176*b428 + 10224*b176*b429 + 6248*b176*b430
     + 994*b176*b431 + 13774*b176*b432 + 7242*b176*b434 + 3976*b176*b435 + 8804
    *b176*b436 + 284*b176*b437 + 6958*b176*b438 + 7526*b176*b439 + 3976*b176*
    b441 + 4402*b176*b442 + 3384*b176*b443 + 3384*b176*b444 + 4794*b176*b445 + 
    4982*b176*b446 + 6580*b176*b447 + 1316*b176*b448 + 6204*b176*b449 + 4982*
    b176*b450 + 6768*b176*b451 + 4136*b176*b452 + 658*b176*b453 + 9118*b176*
    b454 + 4794*b176*b456 + 2632*b176*b457 + 5828*b176*b458 + 188*b176*b459 + 
    4606*b176*b460 + 4982*b176*b461 + 2632*b176*b463 + 2914*b176*b464 + 3384*
    b176*b465 + 3384*b176*b466 + 4794*b176*b467 + 4982*b176*b468 + 6580*b176*
    b469 + 1316*b176*b470 + 6204*b176*b471 + 4982*b176*b472 + 6768*b176*b473 + 
    4136*b176*b474 + 658*b176*b475 + 9118*b176*b476 + 4794*b176*b478 + 2632*
    b176*b479 + 5828*b176*b480 + 188*b176*b481 + 4606*b176*b482 + 4982*b176*
    b483 + 2632*b176*b485 + 2914*b176*b486 + 648*b176*b487 + 648*b176*b488 + 
    918*b176*b489 + 954*b176*b490 + 1260*b176*b491 + 252*b176*b492 + 1188*b176*
    b493 + 954*b176*b494 + 1296*b176*b495 + 792*b176*b496 + 126*b176*b497 + 
    1746*b176*b498 + 918*b176*b500 + 504*b176*b501 + 1116*b176*b502 + 36*b176*
    b503 + 882*b176*b504 + 954*b176*b505 + 504*b176*b507 + 558*b176*b508 + 5112
    *b176*b509 + 5112*b176*b510 + 7242*b176*b511 + 7526*b176*b512 + 9940*b176*
    b513 + 1988*b176*b514 + 9372*b176*b515 + 7526*b176*b516 + 10224*b176*b517
     + 6248*b176*b518 + 994*b176*b519 + 13774*b176*b520 + 7242*b176*b522 + 3976
    *b176*b523 + 8804*b176*b524 + 284*b176*b525 + 6958*b176*b526 + 7526*b176*
    b527 + 3976*b176*b529 + 4402*b176*b530 + 3400*b176*b531 + 3080*b176*b532 + 
    3000*b176*b533 + 12070*b176*b534 + 10934*b176*b535 + 10650*b176*b536 + 
    11900*b176*b537 + 10780*b176*b538 + 10500*b176*b539 + 5440*b176*b540 + 4928
    *b176*b541 + 4800*b176*b542 + 12070*b176*b543 + 10934*b176*b544 + 10650*
    b176*b545 + 5610*b176*b546 + 5082*b176*b547 + 4950*b176*b548 + 7310*b176*
    b552 + 6622*b176*b553 + 6450*b176*b554 + 15980*b176*b555 + 14476*b176*b556
     + 14100*b176*b557 + 4930*b176*b558 + 4466*b176*b559 + 4350*b176*b560 + 
    10880*b176*b561 + 9856*b176*b562 + 9600*b176*b563 + 16490*b176*b564 + 14938
    *b176*b565 + 14550*b176*b566 + 6460*b176*b567 + 5852*b176*b568 + 5700*b176*
    b569 + 2040*b176*b570 + 1848*b176*b571 + 1800*b176*b572 + 16830*b176*b573
     + 15246*b176*b574 + 14850*b176*b575 + 8670*b176*b576 + 7854*b176*b577 + 
    7650*b176*b578 + 14790*b176*b579 + 13398*b176*b580 + 13050*b176*b581 + 
    12920*b176*b582 + 11704*b176*b583 + 11400*b176*b584 + 12070*b176*b585 + 
    10934*b176*b586 + 10650*b176*b587 + 7990*b176*b588 + 7238*b176*b589 + 7050*
    b176*b590 + 7990*b176*b591 + 7238*b176*b592 + 7050*b176*b593 + 1530*b176*
    b594 + 1386*b176*b595 + 1350*b176*b596 + 12070*b176*b597 + 10934*b176*b598
     + 10650*b176*b599 + 3600*b176*b600 + 5100*b176*b601 + 5300*b176*b602 + 
    7000*b176*b603 + 1400*b176*b604 + 6600*b176*b605 + 5300*b176*b606 + 7200*
    b176*b607 + 4400*b176*b608 + 700*b176*b609 + 9700*b176*b610 + 5100*b176*
    b612 + 2800*b176*b613 + 7700*b176*b614 + 6200*b176*b615 + 200*b176*b616 + 
    4900*b176*b617 + 5300*b176*b618 + 2800*b176*b620 + 3100*b176*b621 + 7500*
    b176*b622 + 3600*b176*b623 + 11900*b176*b624 + 10780*b176*b625 + 10500*b176
    *b626 + 1806*b177*b179 + 2322*b177*b180 + 258*b177*b181 + 3182*b177*b182 + 
    8514*b177*b183 + 7654*b177*b184 + 4988*b177*b185 + 6622*b177*b186 + 602*
    b177*b187 + 3010*b177*b188 + 7482*b177*b189 + 2838*b177*b190 + 4128*b177*
    b191 + 5762*b177*b192 + 6536*b177*b193 + 7138*b177*b194 + 172*b177*b195 + 
    5246*b177*b196 + 8256*b177*b197 + 2408*b177*b198 + 86*b177*b200 + 3948*b177
    *b201 + 5076*b177*b202 + 564*b177*b203 + 6956*b177*b204 + 18612*b177*b205
     + 16732*b177*b206 + 10904*b177*b207 + 14476*b177*b208 + 1316*b177*b209 + 
    6580*b177*b210 + 16356*b177*b211 + 6204*b177*b212 + 9024*b177*b213 + 12596*
    b177*b214 + 14288*b177*b215 + 15604*b177*b216 + 376*b177*b217 + 11468*b177*
    b218 + 18048*b177*b219 + 5264*b177*b220 + 188*b177*b222 + 1218*b177*b223 + 
    1566*b177*b224 + 174*b177*b225 + 2146*b177*b226 + 5742*b177*b227 + 5162*
    b177*b228 + 3364*b177*b229 + 4466*b177*b230 + 406*b177*b231 + 2030*b177*
    b232 + 5046*b177*b233 + 1914*b177*b234 + 2784*b177*b235 + 3886*b177*b236 + 
    4408*b177*b237 + 4814*b177*b238 + 116*b177*b239 + 3538*b177*b240 + 5568*
    b177*b241 + 1624*b177*b242 + 58*b177*b244 + 2688*b177*b245 + 3456*b177*b246
     + 384*b177*b247 + 4736*b177*b248 + 12672*b177*b249 + 11392*b177*b250 + 
    7424*b177*b251 + 9856*b177*b252 + 896*b177*b253 + 4480*b177*b254 + 11136*
    b177*b255 + 4224*b177*b256 + 6144*b177*b257 + 8576*b177*b258 + 9728*b177*
    b259 + 10624*b177*b260 + 256*b177*b261 + 7808*b177*b262 + 12288*b177*b263
     + 3584*b177*b264 + 128*b177*b266 + 4074*b177*b267 + 5238*b177*b268 + 582*
    b177*b269 + 7178*b177*b270 + 19206*b177*b271 + 17266*b177*b272 + 11252*b177
    *b273 + 14938*b177*b274 + 1358*b177*b275 + 6790*b177*b276 + 16878*b177*b277
     + 6402*b177*b278 + 9312*b177*b279 + 12998*b177*b280 + 14744*b177*b281 + 
    16102*b177*b282 + 388*b177*b283 + 11834*b177*b284 + 18624*b177*b285 + 5432*
    b177*b286 + 194*b177*b288 + 1596*b177*b289 + 2052*b177*b290 + 228*b177*b291
     + 2812*b177*b292 + 7524*b177*b293 + 6764*b177*b294 + 4408*b177*b295 + 5852
    *b177*b296 + 532*b177*b297 + 2660*b177*b298 + 6612*b177*b299 + 2508*b177*
    b300 + 3648*b177*b301 + 5092*b177*b302 + 5776*b177*b303 + 6308*b177*b304 + 
    152*b177*b305 + 4636*b177*b306 + 7296*b177*b307 + 2128*b177*b308 + 76*b177*
    b310 + 504*b177*b311 + 648*b177*b312 + 72*b177*b313 + 888*b177*b314 + 2376*
    b177*b315 + 2136*b177*b316 + 1392*b177*b317 + 1848*b177*b318 + 168*b177*
    b319 + 840*b177*b320 + 2088*b177*b321 + 792*b177*b322 + 1152*b177*b323 + 
    1608*b177*b324 + 1824*b177*b325 + 1992*b177*b326 + 48*b177*b327 + 1464*b177
    *b328 + 2304*b177*b329 + 672*b177*b330 + 24*b177*b332 + 4158*b177*b333 + 
    5346*b177*b334 + 594*b177*b335 + 7326*b177*b336 + 19602*b177*b337 + 17622*
    b177*b338 + 11484*b177*b339 + 15246*b177*b340 + 1386*b177*b341 + 6930*b177*
    b342 + 17226*b177*b343 + 6534*b177*b344 + 9504*b177*b345 + 13266*b177*b346
     + 15048*b177*b347 + 16434*b177*b348 + 396*b177*b349 + 12078*b177*b350 + 
    19008*b177*b351 + 5544*b177*b352 + 198*b177*b354 + 2142*b177*b355 + 2754*
    b177*b356 + 306*b177*b357 + 3774*b177*b358 + 10098*b177*b359 + 9078*b177*
    b360 + 5916*b177*b361 + 7854*b177*b362 + 714*b177*b363 + 3570*b177*b364 + 
    8874*b177*b365 + 3366*b177*b366 + 4896*b177*b367 + 6834*b177*b368 + 7752*
    b177*b369 + 8466*b177*b370 + 204*b177*b371 + 6222*b177*b372 + 9792*b177*
    b373 + 2856*b177*b374 + 102*b177*b376 + 3654*b177*b377 + 4698*b177*b378 + 
    522*b177*b379 + 6438*b177*b380 + 17226*b177*b381 + 15486*b177*b382 + 10092*
    b177*b383 + 13398*b177*b384 + 1218*b177*b385 + 6090*b177*b386 + 15138*b177*
    b387 + 5742*b177*b388 + 8352*b177*b389 + 11658*b177*b390 + 13224*b177*b391
     + 14442*b177*b392 + 348*b177*b393 + 10614*b177*b394 + 16704*b177*b395 + 
    4872*b177*b396 + 174*b177*b398 + 3192*b177*b399 + 4104*b177*b400 + 456*b177
    *b401 + 5624*b177*b402 + 15048*b177*b403 + 13528*b177*b404 + 8816*b177*b405
     + 11704*b177*b406 + 1064*b177*b407 + 5320*b177*b408 + 13224*b177*b409 + 
    5016*b177*b410 + 7296*b177*b411 + 10184*b177*b412 + 11552*b177*b413 + 12616
    *b177*b414 + 304*b177*b415 + 9272*b177*b416 + 14592*b177*b417 + 4256*b177*
    b418 + 152*b177*b420 + 2982*b177*b421 + 3834*b177*b422 + 426*b177*b423 + 
    5254*b177*b424 + 14058*b177*b425 + 12638*b177*b426 + 8236*b177*b427 + 10934
    *b177*b428 + 994*b177*b429 + 4970*b177*b430 + 12354*b177*b431 + 4686*b177*
    b432 + 6816*b177*b433 + 9514*b177*b434 + 10792*b177*b435 + 11786*b177*b436
     + 284*b177*b437 + 8662*b177*b438 + 13632*b177*b439 + 3976*b177*b440 + 142*
    b177*b442 + 1974*b177*b443 + 2538*b177*b444 + 282*b177*b445 + 3478*b177*
    b446 + 9306*b177*b447 + 8366*b177*b448 + 5452*b177*b449 + 7238*b177*b450 + 
    658*b177*b451 + 3290*b177*b452 + 8178*b177*b453 + 3102*b177*b454 + 4512*
    b177*b455 + 6298*b177*b456 + 7144*b177*b457 + 7802*b177*b458 + 188*b177*
    b459 + 5734*b177*b460 + 9024*b177*b461 + 2632*b177*b462 + 94*b177*b464 + 
    1974*b177*b465 + 2538*b177*b466 + 282*b177*b467 + 3478*b177*b468 + 9306*
    b177*b469 + 8366*b177*b470 + 5452*b177*b471 + 7238*b177*b472 + 658*b177*
    b473 + 3290*b177*b474 + 8178*b177*b475 + 3102*b177*b476 + 4512*b177*b477 + 
    6298*b177*b478 + 7144*b177*b479 + 7802*b177*b480 + 188*b177*b481 + 5734*
    b177*b482 + 9024*b177*b483 + 2632*b177*b484 + 94*b177*b486 + 378*b177*b487
     + 486*b177*b488 + 54*b177*b489 + 666*b177*b490 + 1782*b177*b491 + 1602*
    b177*b492 + 1044*b177*b493 + 1386*b177*b494 + 126*b177*b495 + 630*b177*b496
     + 1566*b177*b497 + 594*b177*b498 + 864*b177*b499 + 1206*b177*b500 + 1368*
    b177*b501 + 1494*b177*b502 + 36*b177*b503 + 1098*b177*b504 + 1728*b177*b505
     + 504*b177*b506 + 18*b177*b508 + 2982*b177*b509 + 3834*b177*b510 + 426*
    b177*b511 + 5254*b177*b512 + 14058*b177*b513 + 12638*b177*b514 + 8236*b177*
    b515 + 10934*b177*b516 + 994*b177*b517 + 4970*b177*b518 + 12354*b177*b519
     + 4686*b177*b520 + 6816*b177*b521 + 9514*b177*b522 + 10792*b177*b523 + 
    11786*b177*b524 + 284*b177*b525 + 8662*b177*b526 + 13632*b177*b527 + 3976*
    b177*b528 + 142*b177*b530 + 3360*b177*b531 + 1760*b177*b532 + 3800*b177*
    b533 + 11928*b177*b534 + 6248*b177*b535 + 13490*b177*b536 + 11760*b177*b537
     + 6160*b177*b538 + 13300*b177*b539 + 5376*b177*b540 + 2816*b177*b541 + 
    6080*b177*b542 + 11928*b177*b543 + 6248*b177*b544 + 13490*b177*b545 + 5544*
    b177*b546 + 2904*b177*b547 + 6270*b177*b548 + 7224*b177*b552 + 3784*b177*
    b553 + 8170*b177*b554 + 15792*b177*b555 + 8272*b177*b556 + 17860*b177*b557
     + 4872*b177*b558 + 2552*b177*b559 + 5510*b177*b560 + 10752*b177*b561 + 
    5632*b177*b562 + 12160*b177*b563 + 16296*b177*b564 + 8536*b177*b565 + 18430
    *b177*b566 + 6384*b177*b567 + 3344*b177*b568 + 7220*b177*b569 + 2016*b177*
    b570 + 1056*b177*b571 + 2280*b177*b572 + 16632*b177*b573 + 8712*b177*b574
     + 18810*b177*b575 + 8568*b177*b576 + 4488*b177*b577 + 9690*b177*b578 + 
    14616*b177*b579 + 7656*b177*b580 + 16530*b177*b581 + 12768*b177*b582 + 6688
    *b177*b583 + 14440*b177*b584 + 11928*b177*b585 + 6248*b177*b586 + 13490*
    b177*b587 + 7896*b177*b588 + 4136*b177*b589 + 8930*b177*b590 + 7896*b177*
    b591 + 4136*b177*b592 + 8930*b177*b593 + 1512*b177*b594 + 792*b177*b595 + 
    1710*b177*b596 + 11928*b177*b597 + 6248*b177*b598 + 13490*b177*b599 + 2700*
    b177*b600 + 300*b177*b601 + 3700*b177*b602 + 9900*b177*b603 + 8900*b177*
    b604 + 5800*b177*b605 + 7700*b177*b606 + 700*b177*b607 + 3500*b177*b608 + 
    8700*b177*b609 + 3300*b177*b610 + 4800*b177*b611 + 6700*b177*b612 + 7600*
    b177*b613 + 4400*b177*b614 + 8300*b177*b615 + 200*b177*b616 + 6100*b177*
    b617 + 9600*b177*b618 + 2800*b177*b619 + 100*b177*b621 + 9500*b177*b622 + 
    2100*b177*b623 + 11760*b177*b624 + 6160*b177*b625 + 13300*b177*b626 + 6106*
    b178*b179 + 7310*b178*b180 + 4128*b178*b181 + 2236*b178*b182 + 5160*b178*
    b183 + 3784*b178*b184 + 2580*b178*b185 + 4300*b178*b186 + 4214*b178*b187 + 
    258*b178*b188 + 5848*b178*b189 + 3010*b178*b190 + 5332*b178*b191 + 3354*
    b178*b192 + 5676*b178*b193 + 7826*b178*b194 + 3698*b178*b195 + 430*b178*
    b196 + 7052*b178*b197 + 2666*b178*b198 + 86*b178*b199 + 13348*b178*b201 + 
    15980*b178*b202 + 9024*b178*b203 + 4888*b178*b204 + 11280*b178*b205 + 8272*
    b178*b206 + 5640*b178*b207 + 9400*b178*b208 + 9212*b178*b209 + 564*b178*
    b210 + 12784*b178*b211 + 6580*b178*b212 + 11656*b178*b213 + 7332*b178*b214
     + 12408*b178*b215 + 17108*b178*b216 + 8084*b178*b217 + 940*b178*b218 + 
    15416*b178*b219 + 5828*b178*b220 + 188*b178*b221 + 4118*b178*b223 + 4930*
    b178*b224 + 2784*b178*b225 + 1508*b178*b226 + 3480*b178*b227 + 2552*b178*
    b228 + 1740*b178*b229 + 2900*b178*b230 + 2842*b178*b231 + 174*b178*b232 + 
    3944*b178*b233 + 2030*b178*b234 + 3596*b178*b235 + 2262*b178*b236 + 3828*
    b178*b237 + 5278*b178*b238 + 2494*b178*b239 + 290*b178*b240 + 4756*b178*
    b241 + 1798*b178*b242 + 58*b178*b243 + 9088*b178*b245 + 10880*b178*b246 + 
    6144*b178*b247 + 3328*b178*b248 + 7680*b178*b249 + 5632*b178*b250 + 3840*
    b178*b251 + 6400*b178*b252 + 6272*b178*b253 + 384*b178*b254 + 8704*b178*
    b255 + 4480*b178*b256 + 7936*b178*b257 + 4992*b178*b258 + 8448*b178*b259 + 
    11648*b178*b260 + 5504*b178*b261 + 640*b178*b262 + 10496*b178*b263 + 3968*
    b178*b264 + 128*b178*b265 + 13774*b178*b267 + 16490*b178*b268 + 9312*b178*
    b269 + 5044*b178*b270 + 11640*b178*b271 + 8536*b178*b272 + 5820*b178*b273
     + 9700*b178*b274 + 9506*b178*b275 + 582*b178*b276 + 13192*b178*b277 + 6790
    *b178*b278 + 12028*b178*b279 + 7566*b178*b280 + 12804*b178*b281 + 17654*
    b178*b282 + 8342*b178*b283 + 970*b178*b284 + 15908*b178*b285 + 6014*b178*
    b286 + 194*b178*b287 + 5396*b178*b289 + 6460*b178*b290 + 3648*b178*b291 + 
    1976*b178*b292 + 4560*b178*b293 + 3344*b178*b294 + 2280*b178*b295 + 3800*
    b178*b296 + 3724*b178*b297 + 228*b178*b298 + 5168*b178*b299 + 2660*b178*
    b300 + 4712*b178*b301 + 2964*b178*b302 + 5016*b178*b303 + 6916*b178*b304 + 
    3268*b178*b305 + 380*b178*b306 + 6232*b178*b307 + 2356*b178*b308 + 76*b178*
    b309 + 1704*b178*b311 + 2040*b178*b312 + 1152*b178*b313 + 624*b178*b314 + 
    1440*b178*b315 + 1056*b178*b316 + 720*b178*b317 + 1200*b178*b318 + 1176*
    b178*b319 + 72*b178*b320 + 1632*b178*b321 + 840*b178*b322 + 1488*b178*b323
     + 936*b178*b324 + 1584*b178*b325 + 2184*b178*b326 + 1032*b178*b327 + 120*
    b178*b328 + 1968*b178*b329 + 744*b178*b330 + 24*b178*b331 + 14058*b178*b333
     + 16830*b178*b334 + 9504*b178*b335 + 5148*b178*b336 + 11880*b178*b337 + 
    8712*b178*b338 + 5940*b178*b339 + 9900*b178*b340 + 9702*b178*b341 + 594*
    b178*b342 + 13464*b178*b343 + 6930*b178*b344 + 12276*b178*b345 + 7722*b178*
    b346 + 13068*b178*b347 + 18018*b178*b348 + 8514*b178*b349 + 990*b178*b350
     + 16236*b178*b351 + 6138*b178*b352 + 198*b178*b353 + 7242*b178*b355 + 8670
    *b178*b356 + 4896*b178*b357 + 2652*b178*b358 + 6120*b178*b359 + 4488*b178*
    b360 + 3060*b178*b361 + 5100*b178*b362 + 4998*b178*b363 + 306*b178*b364 + 
    6936*b178*b365 + 3570*b178*b366 + 6324*b178*b367 + 3978*b178*b368 + 6732*
    b178*b369 + 9282*b178*b370 + 4386*b178*b371 + 510*b178*b372 + 8364*b178*
    b373 + 3162*b178*b374 + 102*b178*b375 + 12354*b178*b377 + 14790*b178*b378
     + 8352*b178*b379 + 4524*b178*b380 + 10440*b178*b381 + 7656*b178*b382 + 
    5220*b178*b383 + 8700*b178*b384 + 8526*b178*b385 + 522*b178*b386 + 11832*
    b178*b387 + 6090*b178*b388 + 10788*b178*b389 + 6786*b178*b390 + 11484*b178*
    b391 + 15834*b178*b392 + 7482*b178*b393 + 870*b178*b394 + 14268*b178*b395
     + 5394*b178*b396 + 174*b178*b397 + 10792*b178*b399 + 12920*b178*b400 + 
    7296*b178*b401 + 3952*b178*b402 + 9120*b178*b403 + 6688*b178*b404 + 4560*
    b178*b405 + 7600*b178*b406 + 7448*b178*b407 + 456*b178*b408 + 10336*b178*
    b409 + 5320*b178*b410 + 9424*b178*b411 + 5928*b178*b412 + 10032*b178*b413
     + 13832*b178*b414 + 6536*b178*b415 + 760*b178*b416 + 12464*b178*b417 + 
    4712*b178*b418 + 152*b178*b419 + 10082*b178*b421 + 12070*b178*b422 + 6816*
    b178*b423 + 3692*b178*b424 + 8520*b178*b425 + 6248*b178*b426 + 4260*b178*
    b427 + 7100*b178*b428 + 6958*b178*b429 + 426*b178*b430 + 9656*b178*b431 + 
    4970*b178*b432 + 8804*b178*b433 + 5538*b178*b434 + 9372*b178*b435 + 12922*
    b178*b436 + 6106*b178*b437 + 710*b178*b438 + 11644*b178*b439 + 4402*b178*
    b440 + 142*b178*b441 + 6674*b178*b443 + 7990*b178*b444 + 4512*b178*b445 + 
    2444*b178*b446 + 5640*b178*b447 + 4136*b178*b448 + 2820*b178*b449 + 4700*
    b178*b450 + 4606*b178*b451 + 282*b178*b452 + 6392*b178*b453 + 3290*b178*
    b454 + 5828*b178*b455 + 3666*b178*b456 + 6204*b178*b457 + 8554*b178*b458 + 
    4042*b178*b459 + 470*b178*b460 + 7708*b178*b461 + 2914*b178*b462 + 94*b178*
    b463 + 6674*b178*b465 + 7990*b178*b466 + 4512*b178*b467 + 2444*b178*b468 + 
    5640*b178*b469 + 4136*b178*b470 + 2820*b178*b471 + 4700*b178*b472 + 4606*
    b178*b473 + 282*b178*b474 + 6392*b178*b475 + 3290*b178*b476 + 5828*b178*
    b477 + 3666*b178*b478 + 6204*b178*b479 + 8554*b178*b480 + 4042*b178*b481 + 
    470*b178*b482 + 7708*b178*b483 + 2914*b178*b484 + 94*b178*b485 + 1278*b178*
    b487 + 1530*b178*b488 + 864*b178*b489 + 468*b178*b490 + 1080*b178*b491 + 
    792*b178*b492 + 540*b178*b493 + 900*b178*b494 + 882*b178*b495 + 54*b178*
    b496 + 1224*b178*b497 + 630*b178*b498 + 1116*b178*b499 + 702*b178*b500 + 
    1188*b178*b501 + 1638*b178*b502 + 774*b178*b503 + 90*b178*b504 + 1476*b178*
    b505 + 558*b178*b506 + 18*b178*b507 + 10082*b178*b509 + 12070*b178*b510 + 
    6816*b178*b511 + 3692*b178*b512 + 8520*b178*b513 + 6248*b178*b514 + 4260*
    b178*b515 + 7100*b178*b516 + 6958*b178*b517 + 426*b178*b518 + 9656*b178*
    b519 + 4970*b178*b520 + 8804*b178*b521 + 5538*b178*b522 + 9372*b178*b523 + 
    12922*b178*b524 + 6106*b178*b525 + 710*b178*b526 + 11644*b178*b527 + 4402*
    b178*b528 + 142*b178*b529 + 480*b178*b531 + 1040*b178*b532 + 280*b178*b533
     + 1704*b178*b534 + 3692*b178*b535 + 994*b178*b536 + 1680*b178*b537 + 3640*
    b178*b538 + 980*b178*b539 + 768*b178*b540 + 1664*b178*b541 + 448*b178*b542
     + 1704*b178*b543 + 3692*b178*b544 + 994*b178*b545 + 792*b178*b546 + 1716*
    b178*b547 + 462*b178*b548 + 1032*b178*b552 + 2236*b178*b553 + 602*b178*b554
     + 2256*b178*b555 + 4888*b178*b556 + 1316*b178*b557 + 696*b178*b558 + 1508*
    b178*b559 + 406*b178*b560 + 1536*b178*b561 + 3328*b178*b562 + 896*b178*b563
     + 2328*b178*b564 + 5044*b178*b565 + 1358*b178*b566 + 912*b178*b567 + 1976*
    b178*b568 + 532*b178*b569 + 288*b178*b570 + 624*b178*b571 + 168*b178*b572
     + 2376*b178*b573 + 5148*b178*b574 + 1386*b178*b575 + 1224*b178*b576 + 2652
    *b178*b577 + 714*b178*b578 + 2088*b178*b579 + 4524*b178*b580 + 1218*b178*
    b581 + 1824*b178*b582 + 3952*b178*b583 + 1064*b178*b584 + 1704*b178*b585 + 
    3692*b178*b586 + 994*b178*b587 + 1128*b178*b588 + 2444*b178*b589 + 658*b178
    *b590 + 1128*b178*b591 + 2444*b178*b592 + 658*b178*b593 + 216*b178*b594 + 
    468*b178*b595 + 126*b178*b596 + 1704*b178*b597 + 3692*b178*b598 + 994*b178*
    b599 + 8500*b178*b600 + 4800*b178*b601 + 2600*b178*b602 + 6000*b178*b603 + 
    4400*b178*b604 + 3000*b178*b605 + 5000*b178*b606 + 4900*b178*b607 + 300*
    b178*b608 + 6800*b178*b609 + 3500*b178*b610 + 6200*b178*b611 + 3900*b178*
    b612 + 6600*b178*b613 + 2600*b178*b614 + 9100*b178*b615 + 4300*b178*b616 + 
    500*b178*b617 + 8200*b178*b618 + 3100*b178*b619 + 100*b178*b620 + 700*b178*
    b622 + 7100*b178*b623 + 1680*b178*b624 + 3640*b178*b625 + 980*b178*b626 + 
    1040*b179*b202 + 3640*b179*b203 + 440*b179*b204 + 1400*b179*b205 + 3280*
    b179*b206 + 1040*b179*b207 + 2760*b179*b208 + 2240*b179*b209 + 3440*b179*
    b210 + 1800*b179*b211 + 3640*b179*b212 + 2360*b179*b213 + 720*b179*b214 + 
    3040*b179*b215 + 720*b179*b216 + 2280*b179*b217 + 1440*b179*b218 + 2440*
    b179*b219 + 1440*b179*b220 + 840*b179*b221 + 2840*b179*b222 + 4212*b179*
    b224 + 14742*b179*b225 + 1782*b179*b226 + 5670*b179*b227 + 13284*b179*b228
     + 4212*b179*b229 + 11178*b179*b230 + 9072*b179*b231 + 13932*b179*b232 + 
    7290*b179*b233 + 14742*b179*b234 + 9558*b179*b235 + 2916*b179*b236 + 12312*
    b179*b237 + 2916*b179*b238 + 9234*b179*b239 + 5832*b179*b240 + 9882*b179*
    b241 + 5832*b179*b242 + 3402*b179*b243 + 11502*b179*b244 + 5148*b179*b246
     + 18018*b179*b247 + 2178*b179*b248 + 6930*b179*b249 + 16236*b179*b250 + 
    5148*b179*b251 + 13662*b179*b252 + 11088*b179*b253 + 17028*b179*b254 + 8910
    *b179*b255 + 18018*b179*b256 + 11682*b179*b257 + 3564*b179*b258 + 15048*
    b179*b259 + 3564*b179*b260 + 11286*b179*b261 + 7128*b179*b262 + 12078*b179*
    b263 + 7128*b179*b264 + 4158*b179*b265 + 14058*b179*b266 + 2340*b179*b268
     + 8190*b179*b269 + 990*b179*b270 + 3150*b179*b271 + 7380*b179*b272 + 2340*
    b179*b273 + 6210*b179*b274 + 5040*b179*b275 + 7740*b179*b276 + 4050*b179*
    b277 + 8190*b179*b278 + 5310*b179*b279 + 1620*b179*b280 + 6840*b179*b281 + 
    1620*b179*b282 + 5130*b179*b283 + 3240*b179*b284 + 5490*b179*b285 + 3240*
    b179*b286 + 1890*b179*b287 + 6390*b179*b288 + 2912*b179*b290 + 10192*b179*
    b291 + 1232*b179*b292 + 3920*b179*b293 + 9184*b179*b294 + 2912*b179*b295 + 
    7728*b179*b296 + 6272*b179*b297 + 9632*b179*b298 + 5040*b179*b299 + 10192*
    b179*b300 + 6608*b179*b301 + 2016*b179*b302 + 8512*b179*b303 + 2016*b179*
    b304 + 6384*b179*b305 + 4032*b179*b306 + 6832*b179*b307 + 4032*b179*b308 + 
    2352*b179*b309 + 7952*b179*b310 + 780*b179*b312 + 2730*b179*b313 + 330*b179
    *b314 + 1050*b179*b315 + 2460*b179*b316 + 780*b179*b317 + 2070*b179*b318 + 
    1680*b179*b319 + 2580*b179*b320 + 1350*b179*b321 + 2730*b179*b322 + 1770*
    b179*b323 + 540*b179*b324 + 2280*b179*b325 + 540*b179*b326 + 1710*b179*b327
     + 1080*b179*b328 + 1830*b179*b329 + 1080*b179*b330 + 630*b179*b331 + 2130*
    b179*b332 + 5148*b179*b334 + 18018*b179*b335 + 2178*b179*b336 + 6930*b179*
    b337 + 16236*b179*b338 + 5148*b179*b339 + 13662*b179*b340 + 11088*b179*b341
     + 17028*b179*b342 + 8910*b179*b343 + 18018*b179*b344 + 11682*b179*b345 + 
    3564*b179*b346 + 15048*b179*b347 + 3564*b179*b348 + 11286*b179*b349 + 7128*
    b179*b350 + 12078*b179*b351 + 7128*b179*b352 + 4158*b179*b353 + 14058*b179*
    b354 + 3328*b179*b356 + 11648*b179*b357 + 1408*b179*b358 + 4480*b179*b359
     + 10496*b179*b360 + 3328*b179*b361 + 8832*b179*b362 + 7168*b179*b363 + 
    11008*b179*b364 + 5760*b179*b365 + 11648*b179*b366 + 7552*b179*b367 + 2304*
    b179*b368 + 9728*b179*b369 + 2304*b179*b370 + 7296*b179*b371 + 4608*b179*
    b372 + 7808*b179*b373 + 4608*b179*b374 + 2688*b179*b375 + 9088*b179*b376 + 
    2964*b179*b378 + 10374*b179*b379 + 1254*b179*b380 + 3990*b179*b381 + 9348*
    b179*b382 + 2964*b179*b383 + 7866*b179*b384 + 6384*b179*b385 + 9804*b179*
    b386 + 5130*b179*b387 + 10374*b179*b388 + 6726*b179*b389 + 2052*b179*b390
     + 8664*b179*b391 + 2052*b179*b392 + 6498*b179*b393 + 4104*b179*b394 + 6954
    *b179*b395 + 4104*b179*b396 + 2394*b179*b397 + 8094*b179*b398 + 4368*b179*
    b400 + 15288*b179*b401 + 1848*b179*b402 + 5880*b179*b403 + 13776*b179*b404
     + 4368*b179*b405 + 11592*b179*b406 + 9408*b179*b407 + 14448*b179*b408 + 
    7560*b179*b409 + 15288*b179*b410 + 9912*b179*b411 + 3024*b179*b412 + 12768*
    b179*b413 + 3024*b179*b414 + 9576*b179*b415 + 6048*b179*b416 + 10248*b179*
    b417 + 6048*b179*b418 + 3528*b179*b419 + 11928*b179*b420 + 4316*b179*b422
     + 15106*b179*b423 + 1826*b179*b424 + 5810*b179*b425 + 13612*b179*b426 + 
    4316*b179*b427 + 11454*b179*b428 + 9296*b179*b429 + 14276*b179*b430 + 7470*
    b179*b431 + 15106*b179*b432 + 9794*b179*b433 + 2988*b179*b434 + 12616*b179*
    b435 + 2988*b179*b436 + 9462*b179*b437 + 5976*b179*b438 + 10126*b179*b439
     + 5976*b179*b440 + 3486*b179*b441 + 11786*b179*b442 + 3172*b179*b444 + 
    11102*b179*b445 + 1342*b179*b446 + 4270*b179*b447 + 10004*b179*b448 + 3172*
    b179*b449 + 8418*b179*b450 + 6832*b179*b451 + 10492*b179*b452 + 5490*b179*
    b453 + 11102*b179*b454 + 7198*b179*b455 + 2196*b179*b456 + 9272*b179*b457
     + 2196*b179*b458 + 6954*b179*b459 + 4392*b179*b460 + 7442*b179*b461 + 4392
    *b179*b462 + 2562*b179*b463 + 8662*b179*b464 + 1300*b179*b466 + 4550*b179*
    b467 + 550*b179*b468 + 1750*b179*b469 + 4100*b179*b470 + 1300*b179*b471 + 
    3450*b179*b472 + 2800*b179*b473 + 4300*b179*b474 + 2250*b179*b475 + 4550*
    b179*b476 + 2950*b179*b477 + 900*b179*b478 + 3800*b179*b479 + 900*b179*b480
     + 2850*b179*b481 + 1800*b179*b482 + 3050*b179*b483 + 1800*b179*b484 + 1050
    *b179*b485 + 3550*b179*b486 + 2132*b179*b488 + 7462*b179*b489 + 902*b179*
    b490 + 2870*b179*b491 + 6724*b179*b492 + 2132*b179*b493 + 5658*b179*b494 + 
    4592*b179*b495 + 7052*b179*b496 + 3690*b179*b497 + 7462*b179*b498 + 4838*
    b179*b499 + 1476*b179*b500 + 6232*b179*b501 + 1476*b179*b502 + 4674*b179*
    b503 + 2952*b179*b504 + 5002*b179*b505 + 2952*b179*b506 + 1722*b179*b507 + 
    5822*b179*b508 + 416*b179*b510 + 1456*b179*b511 + 176*b179*b512 + 560*b179*
    b513 + 1312*b179*b514 + 416*b179*b515 + 1104*b179*b516 + 896*b179*b517 + 
    1376*b179*b518 + 720*b179*b519 + 1456*b179*b520 + 944*b179*b521 + 288*b179*
    b522 + 1216*b179*b523 + 288*b179*b524 + 912*b179*b525 + 576*b179*b526 + 976
    *b179*b527 + 576*b179*b528 + 336*b179*b529 + 1136*b179*b530 + 504*b179*b531
     + 936*b179*b532 + 264*b179*b533 + 1680*b179*b534 + 3120*b179*b535 + 880*
    b179*b536 + 42*b179*b537 + 78*b179*b538 + 22*b179*b539 + 126*b179*b540 + 
    234*b179*b541 + 66*b179*b542 + 2436*b179*b543 + 4524*b179*b544 + 1276*b179*
    b545 + 42*b179*b546 + 78*b179*b547 + 22*b179*b548 + 1806*b179*b549 + 3354*
    b179*b550 + 946*b179*b551 + 840*b179*b555 + 1560*b179*b556 + 440*b179*b557
     + 3402*b179*b558 + 6318*b179*b559 + 1782*b179*b560 + 4158*b179*b561 + 7722
    *b179*b562 + 2178*b179*b563 + 1890*b179*b564 + 3510*b179*b565 + 990*b179*
    b566 + 2352*b179*b567 + 4368*b179*b568 + 1232*b179*b569 + 630*b179*b570 + 
    1170*b179*b571 + 330*b179*b572 + 4158*b179*b573 + 7722*b179*b574 + 2178*
    b179*b575 + 2688*b179*b576 + 4992*b179*b577 + 1408*b179*b578 + 2394*b179*
    b579 + 4446*b179*b580 + 1254*b179*b581 + 3528*b179*b582 + 6552*b179*b583 + 
    1848*b179*b584 + 3486*b179*b585 + 6474*b179*b586 + 1826*b179*b587 + 2562*
    b179*b588 + 4758*b179*b589 + 1342*b179*b590 + 1050*b179*b591 + 1950*b179*
    b592 + 550*b179*b593 + 1722*b179*b594 + 3198*b179*b595 + 902*b179*b596 + 
    336*b179*b597 + 624*b179*b598 + 176*b179*b599 + 4264*b179*b600 + 14924*b179
    *b601 + 1804*b179*b602 + 5740*b179*b603 + 13448*b179*b604 + 4264*b179*b605
     + 11316*b179*b606 + 9184*b179*b607 + 14104*b179*b608 + 7380*b179*b609 + 
    14924*b179*b610 + 9676*b179*b611 + 2952*b179*b612 + 12464*b179*b613 + 6396*
    b179*b614 + 2952*b179*b615 + 9348*b179*b616 + 5904*b179*b617 + 10004*b179*
    b618 + 5904*b179*b619 + 3444*b179*b620 + 11644*b179*b621 + 1804*b179*b622
     + 882*b179*b624 + 1638*b179*b625 + 462*b179*b626 + 1040*b180*b201 + 1160*
    b180*b203 + 3280*b180*b204 + 3280*b180*b205 + 240*b180*b206 + 2840*b180*
    b207 + 320*b180*b208 + 3080*b180*b209 + 2960*b180*b210 + 1200*b180*b211 + 
    3560*b180*b212 + 3040*b180*b213 + 3040*b180*b214 + 1600*b180*b215 + 2240*
    b180*b216 + 40*b180*b217 + 2000*b180*b218 + 160*b180*b219 + 1440*b180*b220
     + 1080*b180*b221 + 3400*b180*b222 + 4212*b180*b223 + 4698*b180*b225 + 
    13284*b180*b226 + 13284*b180*b227 + 972*b180*b228 + 11502*b180*b229 + 1296*
    b180*b230 + 12474*b180*b231 + 11988*b180*b232 + 4860*b180*b233 + 14418*b180
    *b234 + 12312*b180*b235 + 12312*b180*b236 + 6480*b180*b237 + 9072*b180*b238
     + 162*b180*b239 + 8100*b180*b240 + 648*b180*b241 + 5832*b180*b242 + 4374*
    b180*b243 + 13770*b180*b244 + 5148*b180*b245 + 5742*b180*b247 + 16236*b180*
    b248 + 16236*b180*b249 + 1188*b180*b250 + 14058*b180*b251 + 1584*b180*b252
     + 15246*b180*b253 + 14652*b180*b254 + 5940*b180*b255 + 17622*b180*b256 + 
    15048*b180*b257 + 15048*b180*b258 + 7920*b180*b259 + 11088*b180*b260 + 198*
    b180*b261 + 9900*b180*b262 + 792*b180*b263 + 7128*b180*b264 + 5346*b180*
    b265 + 16830*b180*b266 + 2340*b180*b267 + 2610*b180*b269 + 7380*b180*b270
     + 7380*b180*b271 + 540*b180*b272 + 6390*b180*b273 + 720*b180*b274 + 6930*
    b180*b275 + 6660*b180*b276 + 2700*b180*b277 + 8010*b180*b278 + 6840*b180*
    b279 + 6840*b180*b280 + 3600*b180*b281 + 5040*b180*b282 + 90*b180*b283 + 
    4500*b180*b284 + 360*b180*b285 + 3240*b180*b286 + 2430*b180*b287 + 7650*
    b180*b288 + 2912*b180*b289 + 3248*b180*b291 + 9184*b180*b292 + 9184*b180*
    b293 + 672*b180*b294 + 7952*b180*b295 + 896*b180*b296 + 8624*b180*b297 + 
    8288*b180*b298 + 3360*b180*b299 + 9968*b180*b300 + 8512*b180*b301 + 8512*
    b180*b302 + 4480*b180*b303 + 6272*b180*b304 + 112*b180*b305 + 5600*b180*
    b306 + 448*b180*b307 + 4032*b180*b308 + 3024*b180*b309 + 9520*b180*b310 + 
    780*b180*b311 + 870*b180*b313 + 2460*b180*b314 + 2460*b180*b315 + 180*b180*
    b316 + 2130*b180*b317 + 240*b180*b318 + 2310*b180*b319 + 2220*b180*b320 + 
    900*b180*b321 + 2670*b180*b322 + 2280*b180*b323 + 2280*b180*b324 + 1200*
    b180*b325 + 1680*b180*b326 + 30*b180*b327 + 1500*b180*b328 + 120*b180*b329
     + 1080*b180*b330 + 810*b180*b331 + 2550*b180*b332 + 5148*b180*b333 + 5742*
    b180*b335 + 16236*b180*b336 + 16236*b180*b337 + 1188*b180*b338 + 14058*b180
    *b339 + 1584*b180*b340 + 15246*b180*b341 + 14652*b180*b342 + 5940*b180*b343
     + 17622*b180*b344 + 15048*b180*b345 + 15048*b180*b346 + 7920*b180*b347 + 
    11088*b180*b348 + 198*b180*b349 + 9900*b180*b350 + 792*b180*b351 + 7128*
    b180*b352 + 5346*b180*b353 + 16830*b180*b354 + 3328*b180*b355 + 3712*b180*
    b357 + 10496*b180*b358 + 10496*b180*b359 + 768*b180*b360 + 9088*b180*b361
     + 1024*b180*b362 + 9856*b180*b363 + 9472*b180*b364 + 3840*b180*b365 + 
    11392*b180*b366 + 9728*b180*b367 + 9728*b180*b368 + 5120*b180*b369 + 7168*
    b180*b370 + 128*b180*b371 + 6400*b180*b372 + 512*b180*b373 + 4608*b180*b374
     + 3456*b180*b375 + 10880*b180*b376 + 2964*b180*b377 + 3306*b180*b379 + 
    9348*b180*b380 + 9348*b180*b381 + 684*b180*b382 + 8094*b180*b383 + 912*b180
    *b384 + 8778*b180*b385 + 8436*b180*b386 + 3420*b180*b387 + 10146*b180*b388
     + 8664*b180*b389 + 8664*b180*b390 + 4560*b180*b391 + 6384*b180*b392 + 114*
    b180*b393 + 5700*b180*b394 + 456*b180*b395 + 4104*b180*b396 + 3078*b180*
    b397 + 9690*b180*b398 + 4368*b180*b399 + 4872*b180*b401 + 13776*b180*b402
     + 13776*b180*b403 + 1008*b180*b404 + 11928*b180*b405 + 1344*b180*b406 + 
    12936*b180*b407 + 12432*b180*b408 + 5040*b180*b409 + 14952*b180*b410 + 
    12768*b180*b411 + 12768*b180*b412 + 6720*b180*b413 + 9408*b180*b414 + 168*
    b180*b415 + 8400*b180*b416 + 672*b180*b417 + 6048*b180*b418 + 4536*b180*
    b419 + 14280*b180*b420 + 4316*b180*b421 + 4814*b180*b423 + 13612*b180*b424
     + 13612*b180*b425 + 996*b180*b426 + 11786*b180*b427 + 1328*b180*b428 + 
    12782*b180*b429 + 12284*b180*b430 + 4980*b180*b431 + 14774*b180*b432 + 
    12616*b180*b433 + 12616*b180*b434 + 6640*b180*b435 + 9296*b180*b436 + 166*
    b180*b437 + 8300*b180*b438 + 664*b180*b439 + 5976*b180*b440 + 4482*b180*
    b441 + 14110*b180*b442 + 3172*b180*b443 + 3538*b180*b445 + 10004*b180*b446
     + 10004*b180*b447 + 732*b180*b448 + 8662*b180*b449 + 976*b180*b450 + 9394*
    b180*b451 + 9028*b180*b452 + 3660*b180*b453 + 10858*b180*b454 + 9272*b180*
    b455 + 9272*b180*b456 + 4880*b180*b457 + 6832*b180*b458 + 122*b180*b459 + 
    6100*b180*b460 + 488*b180*b461 + 4392*b180*b462 + 3294*b180*b463 + 10370*
    b180*b464 + 1300*b180*b465 + 1450*b180*b467 + 4100*b180*b468 + 4100*b180*
    b469 + 300*b180*b470 + 3550*b180*b471 + 400*b180*b472 + 3850*b180*b473 + 
    3700*b180*b474 + 1500*b180*b475 + 4450*b180*b476 + 3800*b180*b477 + 3800*
    b180*b478 + 2000*b180*b479 + 2800*b180*b480 + 50*b180*b481 + 2500*b180*b482
     + 200*b180*b483 + 1800*b180*b484 + 1350*b180*b485 + 4250*b180*b486 + 2132*
    b180*b487 + 2378*b180*b489 + 6724*b180*b490 + 6724*b180*b491 + 492*b180*
    b492 + 5822*b180*b493 + 656*b180*b494 + 6314*b180*b495 + 6068*b180*b496 + 
    2460*b180*b497 + 7298*b180*b498 + 6232*b180*b499 + 6232*b180*b500 + 3280*
    b180*b501 + 4592*b180*b502 + 82*b180*b503 + 4100*b180*b504 + 328*b180*b505
     + 2952*b180*b506 + 2214*b180*b507 + 6970*b180*b508 + 416*b180*b509 + 464*
    b180*b511 + 1312*b180*b512 + 1312*b180*b513 + 96*b180*b514 + 1136*b180*b515
     + 128*b180*b516 + 1232*b180*b517 + 1184*b180*b518 + 480*b180*b519 + 1424*
    b180*b520 + 1216*b180*b521 + 1216*b180*b522 + 640*b180*b523 + 896*b180*b524
     + 16*b180*b525 + 800*b180*b526 + 64*b180*b527 + 576*b180*b528 + 432*b180*
    b529 + 1360*b180*b530 + 2280*b180*b531 + 2232*b180*b532 + 48*b180*b533 + 
    7600*b180*b534 + 7440*b180*b535 + 160*b180*b536 + 190*b180*b537 + 186*b180*
    b538 + 4*b180*b539 + 570*b180*b540 + 558*b180*b541 + 12*b180*b542 + 11020*
    b180*b543 + 10788*b180*b544 + 232*b180*b545 + 190*b180*b546 + 186*b180*b547
     + 4*b180*b548 + 8170*b180*b549 + 7998*b180*b550 + 172*b180*b551 + 3800*
    b180*b555 + 3720*b180*b556 + 80*b180*b557 + 15390*b180*b558 + 15066*b180*
    b559 + 324*b180*b560 + 18810*b180*b561 + 18414*b180*b562 + 396*b180*b563 + 
    8550*b180*b564 + 8370*b180*b565 + 180*b180*b566 + 10640*b180*b567 + 10416*
    b180*b568 + 224*b180*b569 + 2850*b180*b570 + 2790*b180*b571 + 60*b180*b572
     + 18810*b180*b573 + 18414*b180*b574 + 396*b180*b575 + 12160*b180*b576 + 
    11904*b180*b577 + 256*b180*b578 + 10830*b180*b579 + 10602*b180*b580 + 228*
    b180*b581 + 15960*b180*b582 + 15624*b180*b583 + 336*b180*b584 + 15770*b180*
    b585 + 15438*b180*b586 + 332*b180*b587 + 11590*b180*b588 + 11346*b180*b589
     + 244*b180*b590 + 4750*b180*b591 + 4650*b180*b592 + 100*b180*b593 + 7790*
    b180*b594 + 7626*b180*b595 + 164*b180*b596 + 1520*b180*b597 + 1488*b180*
    b598 + 32*b180*b599 + 4756*b180*b601 + 13448*b180*b602 + 13448*b180*b603 + 
    984*b180*b604 + 11644*b180*b605 + 1312*b180*b606 + 12628*b180*b607 + 12136*
    b180*b608 + 4920*b180*b609 + 14596*b180*b610 + 12464*b180*b611 + 12464*b180
    *b612 + 6560*b180*b613 + 15252*b180*b614 + 9184*b180*b615 + 164*b180*b616
     + 8200*b180*b617 + 656*b180*b618 + 5904*b180*b619 + 4428*b180*b620 + 13940
    *b180*b621 + 328*b180*b622 + 4264*b180*b623 + 3990*b180*b624 + 3906*b180*
    b625 + 84*b180*b626 + 3640*b181*b201 + 1160*b181*b202 + 40*b181*b204 + 600*
    b181*b205 + 440*b181*b206 + 1400*b181*b207 + 440*b181*b208 + 800*b181*b209
     + 840*b181*b210 + 2440*b181*b211 + 3200*b181*b212 + 2320*b181*b213 + 840*
    b181*b214 + 3040*b181*b215 + 1760*b181*b216 + 3400*b181*b217 + 3760*b181*
    b218 + 3600*b181*b219 + 2040*b181*b220 + 120*b181*b221 + 1920*b181*b222 + 
    14742*b181*b223 + 4698*b181*b224 + 162*b181*b226 + 2430*b181*b227 + 1782*
    b181*b228 + 5670*b181*b229 + 1782*b181*b230 + 3240*b181*b231 + 3402*b181*
    b232 + 9882*b181*b233 + 12960*b181*b234 + 9396*b181*b235 + 3402*b181*b236
     + 12312*b181*b237 + 7128*b181*b238 + 13770*b181*b239 + 15228*b181*b240 + 
    14580*b181*b241 + 8262*b181*b242 + 486*b181*b243 + 7776*b181*b244 + 18018*
    b181*b245 + 5742*b181*b246 + 198*b181*b248 + 2970*b181*b249 + 2178*b181*
    b250 + 6930*b181*b251 + 2178*b181*b252 + 3960*b181*b253 + 4158*b181*b254 + 
    12078*b181*b255 + 15840*b181*b256 + 11484*b181*b257 + 4158*b181*b258 + 
    15048*b181*b259 + 8712*b181*b260 + 16830*b181*b261 + 18612*b181*b262 + 
    17820*b181*b263 + 10098*b181*b264 + 594*b181*b265 + 9504*b181*b266 + 8190*
    b181*b267 + 2610*b181*b268 + 90*b181*b270 + 1350*b181*b271 + 990*b181*b272
     + 3150*b181*b273 + 990*b181*b274 + 1800*b181*b275 + 1890*b181*b276 + 5490*
    b181*b277 + 7200*b181*b278 + 5220*b181*b279 + 1890*b181*b280 + 6840*b181*
    b281 + 3960*b181*b282 + 7650*b181*b283 + 8460*b181*b284 + 8100*b181*b285 + 
    4590*b181*b286 + 270*b181*b287 + 4320*b181*b288 + 10192*b181*b289 + 3248*
    b181*b290 + 112*b181*b292 + 1680*b181*b293 + 1232*b181*b294 + 3920*b181*
    b295 + 1232*b181*b296 + 2240*b181*b297 + 2352*b181*b298 + 6832*b181*b299 + 
    8960*b181*b300 + 6496*b181*b301 + 2352*b181*b302 + 8512*b181*b303 + 4928*
    b181*b304 + 9520*b181*b305 + 10528*b181*b306 + 10080*b181*b307 + 5712*b181*
    b308 + 336*b181*b309 + 5376*b181*b310 + 2730*b181*b311 + 870*b181*b312 + 30
    *b181*b314 + 450*b181*b315 + 330*b181*b316 + 1050*b181*b317 + 330*b181*b318
     + 600*b181*b319 + 630*b181*b320 + 1830*b181*b321 + 2400*b181*b322 + 1740*
    b181*b323 + 630*b181*b324 + 2280*b181*b325 + 1320*b181*b326 + 2550*b181*
    b327 + 2820*b181*b328 + 2700*b181*b329 + 1530*b181*b330 + 90*b181*b331 + 
    1440*b181*b332 + 18018*b181*b333 + 5742*b181*b334 + 198*b181*b336 + 2970*
    b181*b337 + 2178*b181*b338 + 6930*b181*b339 + 2178*b181*b340 + 3960*b181*
    b341 + 4158*b181*b342 + 12078*b181*b343 + 15840*b181*b344 + 11484*b181*b345
     + 4158*b181*b346 + 15048*b181*b347 + 8712*b181*b348 + 16830*b181*b349 + 
    18612*b181*b350 + 17820*b181*b351 + 10098*b181*b352 + 594*b181*b353 + 9504*
    b181*b354 + 11648*b181*b355 + 3712*b181*b356 + 128*b181*b358 + 1920*b181*
    b359 + 1408*b181*b360 + 4480*b181*b361 + 1408*b181*b362 + 2560*b181*b363 + 
    2688*b181*b364 + 7808*b181*b365 + 10240*b181*b366 + 7424*b181*b367 + 2688*
    b181*b368 + 9728*b181*b369 + 5632*b181*b370 + 10880*b181*b371 + 12032*b181*
    b372 + 11520*b181*b373 + 6528*b181*b374 + 384*b181*b375 + 6144*b181*b376 + 
    10374*b181*b377 + 3306*b181*b378 + 114*b181*b380 + 1710*b181*b381 + 1254*
    b181*b382 + 3990*b181*b383 + 1254*b181*b384 + 2280*b181*b385 + 2394*b181*
    b386 + 6954*b181*b387 + 9120*b181*b388 + 6612*b181*b389 + 2394*b181*b390 + 
    8664*b181*b391 + 5016*b181*b392 + 9690*b181*b393 + 10716*b181*b394 + 10260*
    b181*b395 + 5814*b181*b396 + 342*b181*b397 + 5472*b181*b398 + 15288*b181*
    b399 + 4872*b181*b400 + 168*b181*b402 + 2520*b181*b403 + 1848*b181*b404 + 
    5880*b181*b405 + 1848*b181*b406 + 3360*b181*b407 + 3528*b181*b408 + 10248*
    b181*b409 + 13440*b181*b410 + 9744*b181*b411 + 3528*b181*b412 + 12768*b181*
    b413 + 7392*b181*b414 + 14280*b181*b415 + 15792*b181*b416 + 15120*b181*b417
     + 8568*b181*b418 + 504*b181*b419 + 8064*b181*b420 + 15106*b181*b421 + 4814
    *b181*b422 + 166*b181*b424 + 2490*b181*b425 + 1826*b181*b426 + 5810*b181*
    b427 + 1826*b181*b428 + 3320*b181*b429 + 3486*b181*b430 + 10126*b181*b431
     + 13280*b181*b432 + 9628*b181*b433 + 3486*b181*b434 + 12616*b181*b435 + 
    7304*b181*b436 + 14110*b181*b437 + 15604*b181*b438 + 14940*b181*b439 + 8466
    *b181*b440 + 498*b181*b441 + 7968*b181*b442 + 11102*b181*b443 + 3538*b181*
    b444 + 122*b181*b446 + 1830*b181*b447 + 1342*b181*b448 + 4270*b181*b449 + 
    1342*b181*b450 + 2440*b181*b451 + 2562*b181*b452 + 7442*b181*b453 + 9760*
    b181*b454 + 7076*b181*b455 + 2562*b181*b456 + 9272*b181*b457 + 5368*b181*
    b458 + 10370*b181*b459 + 11468*b181*b460 + 10980*b181*b461 + 6222*b181*b462
     + 366*b181*b463 + 5856*b181*b464 + 4550*b181*b465 + 1450*b181*b466 + 50*
    b181*b468 + 750*b181*b469 + 550*b181*b470 + 1750*b181*b471 + 550*b181*b472
     + 1000*b181*b473 + 1050*b181*b474 + 3050*b181*b475 + 4000*b181*b476 + 2900
    *b181*b477 + 1050*b181*b478 + 3800*b181*b479 + 2200*b181*b480 + 4250*b181*
    b481 + 4700*b181*b482 + 4500*b181*b483 + 2550*b181*b484 + 150*b181*b485 + 
    2400*b181*b486 + 7462*b181*b487 + 2378*b181*b488 + 82*b181*b490 + 1230*b181
    *b491 + 902*b181*b492 + 2870*b181*b493 + 902*b181*b494 + 1640*b181*b495 + 
    1722*b181*b496 + 5002*b181*b497 + 6560*b181*b498 + 4756*b181*b499 + 1722*
    b181*b500 + 6232*b181*b501 + 3608*b181*b502 + 6970*b181*b503 + 7708*b181*
    b504 + 7380*b181*b505 + 4182*b181*b506 + 246*b181*b507 + 3936*b181*b508 + 
    1456*b181*b509 + 464*b181*b510 + 16*b181*b512 + 240*b181*b513 + 176*b181*
    b514 + 560*b181*b515 + 176*b181*b516 + 320*b181*b517 + 336*b181*b518 + 976*
    b181*b519 + 1280*b181*b520 + 928*b181*b521 + 336*b181*b522 + 1216*b181*b523
     + 704*b181*b524 + 1360*b181*b525 + 1504*b181*b526 + 1440*b181*b527 + 816*
    b181*b528 + 48*b181*b529 + 768*b181*b530 + 1968*b181*b531 + 1728*b181*b532
     + 696*b181*b533 + 6560*b181*b534 + 5760*b181*b535 + 2320*b181*b536 + 164*
    b181*b537 + 144*b181*b538 + 58*b181*b539 + 492*b181*b540 + 432*b181*b541 + 
    174*b181*b542 + 9512*b181*b543 + 8352*b181*b544 + 3364*b181*b545 + 164*b181
    *b546 + 144*b181*b547 + 58*b181*b548 + 7052*b181*b549 + 6192*b181*b550 + 
    2494*b181*b551 + 3280*b181*b555 + 2880*b181*b556 + 1160*b181*b557 + 13284*
    b181*b558 + 11664*b181*b559 + 4698*b181*b560 + 16236*b181*b561 + 14256*b181
    *b562 + 5742*b181*b563 + 7380*b181*b564 + 6480*b181*b565 + 2610*b181*b566
     + 9184*b181*b567 + 8064*b181*b568 + 3248*b181*b569 + 2460*b181*b570 + 2160
    *b181*b571 + 870*b181*b572 + 16236*b181*b573 + 14256*b181*b574 + 5742*b181*
    b575 + 10496*b181*b576 + 9216*b181*b577 + 3712*b181*b578 + 9348*b181*b579
     + 8208*b181*b580 + 3306*b181*b581 + 13776*b181*b582 + 12096*b181*b583 + 
    4872*b181*b584 + 13612*b181*b585 + 11952*b181*b586 + 4814*b181*b587 + 10004
    *b181*b588 + 8784*b181*b589 + 3538*b181*b590 + 4100*b181*b591 + 3600*b181*
    b592 + 1450*b181*b593 + 6724*b181*b594 + 5904*b181*b595 + 2378*b181*b596 + 
    1312*b181*b597 + 1152*b181*b598 + 464*b181*b599 + 4756*b181*b600 + 164*b181
    *b602 + 2460*b181*b603 + 1804*b181*b604 + 5740*b181*b605 + 1804*b181*b606
     + 3280*b181*b607 + 3444*b181*b608 + 10004*b181*b609 + 13120*b181*b610 + 
    9512*b181*b611 + 3444*b181*b612 + 12464*b181*b613 + 11808*b181*b614 + 7216*
    b181*b615 + 13940*b181*b616 + 15416*b181*b617 + 14760*b181*b618 + 8364*b181
    *b619 + 492*b181*b620 + 7872*b181*b621 + 4756*b181*b622 + 14924*b181*b623
     + 3444*b181*b624 + 3024*b181*b625 + 1218*b181*b626 + 440*b182*b201 + 3280*
    b182*b202 + 40*b182*b203 + 3600*b182*b205 + 2640*b182*b206 + 1640*b182*b207
     + 600*b182*b208 + 3320*b182*b209 + 3840*b182*b210 + 2960*b182*b211 + 1800*
    b182*b212 + 2600*b182*b213 + 1600*b182*b214 + 2160*b182*b215 + 560*b182*
    b216 + 2840*b182*b217 + 3080*b182*b218 + 1440*b182*b219 + 2120*b182*b220 + 
    1480*b182*b221 + 1040*b182*b222 + 1782*b182*b223 + 13284*b182*b224 + 162*
    b182*b225 + 14580*b182*b227 + 10692*b182*b228 + 6642*b182*b229 + 2430*b182*
    b230 + 13446*b182*b231 + 15552*b182*b232 + 11988*b182*b233 + 7290*b182*b234
     + 10530*b182*b235 + 6480*b182*b236 + 8748*b182*b237 + 2268*b182*b238 + 
    11502*b182*b239 + 12474*b182*b240 + 5832*b182*b241 + 8586*b182*b242 + 5994*
    b182*b243 + 4212*b182*b244 + 2178*b182*b245 + 16236*b182*b246 + 198*b182*
    b247 + 17820*b182*b249 + 13068*b182*b250 + 8118*b182*b251 + 2970*b182*b252
     + 16434*b182*b253 + 19008*b182*b254 + 14652*b182*b255 + 8910*b182*b256 + 
    12870*b182*b257 + 7920*b182*b258 + 10692*b182*b259 + 2772*b182*b260 + 14058
    *b182*b261 + 15246*b182*b262 + 7128*b182*b263 + 10494*b182*b264 + 7326*b182
    *b265 + 5148*b182*b266 + 990*b182*b267 + 7380*b182*b268 + 90*b182*b269 + 
    8100*b182*b271 + 5940*b182*b272 + 3690*b182*b273 + 1350*b182*b274 + 7470*
    b182*b275 + 8640*b182*b276 + 6660*b182*b277 + 4050*b182*b278 + 5850*b182*
    b279 + 3600*b182*b280 + 4860*b182*b281 + 1260*b182*b282 + 6390*b182*b283 + 
    6930*b182*b284 + 3240*b182*b285 + 4770*b182*b286 + 3330*b182*b287 + 2340*
    b182*b288 + 1232*b182*b289 + 9184*b182*b290 + 112*b182*b291 + 10080*b182*
    b293 + 7392*b182*b294 + 4592*b182*b295 + 1680*b182*b296 + 9296*b182*b297 + 
    10752*b182*b298 + 8288*b182*b299 + 5040*b182*b300 + 7280*b182*b301 + 4480*
    b182*b302 + 6048*b182*b303 + 1568*b182*b304 + 7952*b182*b305 + 8624*b182*
    b306 + 4032*b182*b307 + 5936*b182*b308 + 4144*b182*b309 + 2912*b182*b310 + 
    330*b182*b311 + 2460*b182*b312 + 30*b182*b313 + 2700*b182*b315 + 1980*b182*
    b316 + 1230*b182*b317 + 450*b182*b318 + 2490*b182*b319 + 2880*b182*b320 + 
    2220*b182*b321 + 1350*b182*b322 + 1950*b182*b323 + 1200*b182*b324 + 1620*
    b182*b325 + 420*b182*b326 + 2130*b182*b327 + 2310*b182*b328 + 1080*b182*
    b329 + 1590*b182*b330 + 1110*b182*b331 + 780*b182*b332 + 2178*b182*b333 + 
    16236*b182*b334 + 198*b182*b335 + 17820*b182*b337 + 13068*b182*b338 + 8118*
    b182*b339 + 2970*b182*b340 + 16434*b182*b341 + 19008*b182*b342 + 14652*b182
    *b343 + 8910*b182*b344 + 12870*b182*b345 + 7920*b182*b346 + 10692*b182*b347
     + 2772*b182*b348 + 14058*b182*b349 + 15246*b182*b350 + 7128*b182*b351 + 
    10494*b182*b352 + 7326*b182*b353 + 5148*b182*b354 + 1408*b182*b355 + 10496*
    b182*b356 + 128*b182*b357 + 11520*b182*b359 + 8448*b182*b360 + 5248*b182*
    b361 + 1920*b182*b362 + 10624*b182*b363 + 12288*b182*b364 + 9472*b182*b365
     + 5760*b182*b366 + 8320*b182*b367 + 5120*b182*b368 + 6912*b182*b369 + 1792
    *b182*b370 + 9088*b182*b371 + 9856*b182*b372 + 4608*b182*b373 + 6784*b182*
    b374 + 4736*b182*b375 + 3328*b182*b376 + 1254*b182*b377 + 9348*b182*b378 + 
    114*b182*b379 + 10260*b182*b381 + 7524*b182*b382 + 4674*b182*b383 + 1710*
    b182*b384 + 9462*b182*b385 + 10944*b182*b386 + 8436*b182*b387 + 5130*b182*
    b388 + 7410*b182*b389 + 4560*b182*b390 + 6156*b182*b391 + 1596*b182*b392 + 
    8094*b182*b393 + 8778*b182*b394 + 4104*b182*b395 + 6042*b182*b396 + 4218*
    b182*b397 + 2964*b182*b398 + 1848*b182*b399 + 13776*b182*b400 + 168*b182*
    b401 + 15120*b182*b403 + 11088*b182*b404 + 6888*b182*b405 + 2520*b182*b406
     + 13944*b182*b407 + 16128*b182*b408 + 12432*b182*b409 + 7560*b182*b410 + 
    10920*b182*b411 + 6720*b182*b412 + 9072*b182*b413 + 2352*b182*b414 + 11928*
    b182*b415 + 12936*b182*b416 + 6048*b182*b417 + 8904*b182*b418 + 6216*b182*
    b419 + 4368*b182*b420 + 1826*b182*b421 + 13612*b182*b422 + 166*b182*b423 + 
    14940*b182*b425 + 10956*b182*b426 + 6806*b182*b427 + 2490*b182*b428 + 13778
    *b182*b429 + 15936*b182*b430 + 12284*b182*b431 + 7470*b182*b432 + 10790*
    b182*b433 + 6640*b182*b434 + 8964*b182*b435 + 2324*b182*b436 + 11786*b182*
    b437 + 12782*b182*b438 + 5976*b182*b439 + 8798*b182*b440 + 6142*b182*b441
     + 4316*b182*b442 + 1342*b182*b443 + 10004*b182*b444 + 122*b182*b445 + 
    10980*b182*b447 + 8052*b182*b448 + 5002*b182*b449 + 1830*b182*b450 + 10126*
    b182*b451 + 11712*b182*b452 + 9028*b182*b453 + 5490*b182*b454 + 7930*b182*
    b455 + 4880*b182*b456 + 6588*b182*b457 + 1708*b182*b458 + 8662*b182*b459 + 
    9394*b182*b460 + 4392*b182*b461 + 6466*b182*b462 + 4514*b182*b463 + 3172*
    b182*b464 + 550*b182*b465 + 4100*b182*b466 + 50*b182*b467 + 4500*b182*b469
     + 3300*b182*b470 + 2050*b182*b471 + 750*b182*b472 + 4150*b182*b473 + 4800*
    b182*b474 + 3700*b182*b475 + 2250*b182*b476 + 3250*b182*b477 + 2000*b182*
    b478 + 2700*b182*b479 + 700*b182*b480 + 3550*b182*b481 + 3850*b182*b482 + 
    1800*b182*b483 + 2650*b182*b484 + 1850*b182*b485 + 1300*b182*b486 + 902*
    b182*b487 + 6724*b182*b488 + 82*b182*b489 + 7380*b182*b491 + 5412*b182*b492
     + 3362*b182*b493 + 1230*b182*b494 + 6806*b182*b495 + 7872*b182*b496 + 6068
    *b182*b497 + 3690*b182*b498 + 5330*b182*b499 + 3280*b182*b500 + 4428*b182*
    b501 + 1148*b182*b502 + 5822*b182*b503 + 6314*b182*b504 + 2952*b182*b505 + 
    4346*b182*b506 + 3034*b182*b507 + 2132*b182*b508 + 176*b182*b509 + 1312*
    b182*b510 + 16*b182*b511 + 1440*b182*b513 + 1056*b182*b514 + 656*b182*b515
     + 240*b182*b516 + 1328*b182*b517 + 1536*b182*b518 + 1184*b182*b519 + 720*
    b182*b520 + 1040*b182*b521 + 640*b182*b522 + 864*b182*b523 + 224*b182*b524
     + 1136*b182*b525 + 1232*b182*b526 + 576*b182*b527 + 848*b182*b528 + 592*
    b182*b529 + 416*b182*b530 + 1344*b182*b531 + 1992*b182*b532 + 2088*b182*
    b533 + 4480*b182*b534 + 6640*b182*b535 + 6960*b182*b536 + 112*b182*b537 + 
    166*b182*b538 + 174*b182*b539 + 336*b182*b540 + 498*b182*b541 + 522*b182*
    b542 + 6496*b182*b543 + 9628*b182*b544 + 10092*b182*b545 + 112*b182*b546 + 
    166*b182*b547 + 174*b182*b548 + 4816*b182*b549 + 7138*b182*b550 + 7482*b182
    *b551 + 2240*b182*b555 + 3320*b182*b556 + 3480*b182*b557 + 9072*b182*b558
     + 13446*b182*b559 + 14094*b182*b560 + 11088*b182*b561 + 16434*b182*b562 + 
    17226*b182*b563 + 5040*b182*b564 + 7470*b182*b565 + 7830*b182*b566 + 6272*
    b182*b567 + 9296*b182*b568 + 9744*b182*b569 + 1680*b182*b570 + 2490*b182*
    b571 + 2610*b182*b572 + 11088*b182*b573 + 16434*b182*b574 + 17226*b182*b575
     + 7168*b182*b576 + 10624*b182*b577 + 11136*b182*b578 + 6384*b182*b579 + 
    9462*b182*b580 + 9918*b182*b581 + 9408*b182*b582 + 13944*b182*b583 + 14616*
    b182*b584 + 9296*b182*b585 + 13778*b182*b586 + 14442*b182*b587 + 6832*b182*
    b588 + 10126*b182*b589 + 10614*b182*b590 + 2800*b182*b591 + 4150*b182*b592
     + 4350*b182*b593 + 4592*b182*b594 + 6806*b182*b595 + 7134*b182*b596 + 896*
    b182*b597 + 1328*b182*b598 + 1392*b182*b599 + 13448*b182*b600 + 164*b182*
    b601 + 14760*b182*b603 + 10824*b182*b604 + 6724*b182*b605 + 2460*b182*b606
     + 13612*b182*b607 + 15744*b182*b608 + 12136*b182*b609 + 7380*b182*b610 + 
    10660*b182*b611 + 6560*b182*b612 + 8856*b182*b613 + 13612*b182*b614 + 2296*
    b182*b615 + 11644*b182*b616 + 12628*b182*b617 + 5904*b182*b618 + 8692*b182*
    b619 + 6068*b182*b620 + 4264*b182*b621 + 14268*b182*b622 + 1804*b182*b623
     + 2352*b182*b624 + 3486*b182*b625 + 3654*b182*b626 + 1400*b183*b201 + 3280
    *b183*b202 + 600*b183*b203 + 3600*b183*b204 + 3040*b183*b206 + 3640*b183*
    b207 + 520*b183*b208 + 1160*b183*b209 + 440*b183*b210 + 3080*b183*b211 + 
    1280*b183*b212 + 3480*b183*b213 + 2680*b183*b214 + 3760*b183*b215 + 80*b183
    *b216 + 400*b183*b217 + 3960*b183*b218 + 2240*b183*b219 + 2800*b183*b220 + 
    3960*b183*b221 + 2400*b183*b222 + 5670*b183*b223 + 13284*b183*b224 + 2430*
    b183*b225 + 14580*b183*b226 + 12312*b183*b228 + 14742*b183*b229 + 2106*b183
    *b230 + 4698*b183*b231 + 1782*b183*b232 + 12474*b183*b233 + 5184*b183*b234
     + 14094*b183*b235 + 10854*b183*b236 + 15228*b183*b237 + 324*b183*b238 + 
    1620*b183*b239 + 16038*b183*b240 + 9072*b183*b241 + 11340*b183*b242 + 16038
    *b183*b243 + 9720*b183*b244 + 6930*b183*b245 + 16236*b183*b246 + 2970*b183*
    b247 + 17820*b183*b248 + 15048*b183*b250 + 18018*b183*b251 + 2574*b183*b252
     + 5742*b183*b253 + 2178*b183*b254 + 15246*b183*b255 + 6336*b183*b256 + 
    17226*b183*b257 + 13266*b183*b258 + 18612*b183*b259 + 396*b183*b260 + 1980*
    b183*b261 + 19602*b183*b262 + 11088*b183*b263 + 13860*b183*b264 + 19602*
    b183*b265 + 11880*b183*b266 + 3150*b183*b267 + 7380*b183*b268 + 1350*b183*
    b269 + 8100*b183*b270 + 6840*b183*b272 + 8190*b183*b273 + 1170*b183*b274 + 
    2610*b183*b275 + 990*b183*b276 + 6930*b183*b277 + 2880*b183*b278 + 7830*
    b183*b279 + 6030*b183*b280 + 8460*b183*b281 + 180*b183*b282 + 900*b183*b283
     + 8910*b183*b284 + 5040*b183*b285 + 6300*b183*b286 + 8910*b183*b287 + 5400
    *b183*b288 + 3920*b183*b289 + 9184*b183*b290 + 1680*b183*b291 + 10080*b183*
    b292 + 8512*b183*b294 + 10192*b183*b295 + 1456*b183*b296 + 3248*b183*b297
     + 1232*b183*b298 + 8624*b183*b299 + 3584*b183*b300 + 9744*b183*b301 + 7504
    *b183*b302 + 10528*b183*b303 + 224*b183*b304 + 1120*b183*b305 + 11088*b183*
    b306 + 6272*b183*b307 + 7840*b183*b308 + 11088*b183*b309 + 6720*b183*b310
     + 1050*b183*b311 + 2460*b183*b312 + 450*b183*b313 + 2700*b183*b314 + 2280*
    b183*b316 + 2730*b183*b317 + 390*b183*b318 + 870*b183*b319 + 330*b183*b320
     + 2310*b183*b321 + 960*b183*b322 + 2610*b183*b323 + 2010*b183*b324 + 2820*
    b183*b325 + 60*b183*b326 + 300*b183*b327 + 2970*b183*b328 + 1680*b183*b329
     + 2100*b183*b330 + 2970*b183*b331 + 1800*b183*b332 + 6930*b183*b333 + 
    16236*b183*b334 + 2970*b183*b335 + 17820*b183*b336 + 15048*b183*b338 + 
    18018*b183*b339 + 2574*b183*b340 + 5742*b183*b341 + 2178*b183*b342 + 15246*
    b183*b343 + 6336*b183*b344 + 17226*b183*b345 + 13266*b183*b346 + 18612*b183
    *b347 + 396*b183*b348 + 1980*b183*b349 + 19602*b183*b350 + 11088*b183*b351
     + 13860*b183*b352 + 19602*b183*b353 + 11880*b183*b354 + 4480*b183*b355 + 
    10496*b183*b356 + 1920*b183*b357 + 11520*b183*b358 + 9728*b183*b360 + 11648
    *b183*b361 + 1664*b183*b362 + 3712*b183*b363 + 1408*b183*b364 + 9856*b183*
    b365 + 4096*b183*b366 + 11136*b183*b367 + 8576*b183*b368 + 12032*b183*b369
     + 256*b183*b370 + 1280*b183*b371 + 12672*b183*b372 + 7168*b183*b373 + 8960
    *b183*b374 + 12672*b183*b375 + 7680*b183*b376 + 3990*b183*b377 + 9348*b183*
    b378 + 1710*b183*b379 + 10260*b183*b380 + 8664*b183*b382 + 10374*b183*b383
     + 1482*b183*b384 + 3306*b183*b385 + 1254*b183*b386 + 8778*b183*b387 + 3648
    *b183*b388 + 9918*b183*b389 + 7638*b183*b390 + 10716*b183*b391 + 228*b183*
    b392 + 1140*b183*b393 + 11286*b183*b394 + 6384*b183*b395 + 7980*b183*b396
     + 11286*b183*b397 + 6840*b183*b398 + 5880*b183*b399 + 13776*b183*b400 + 
    2520*b183*b401 + 15120*b183*b402 + 12768*b183*b404 + 15288*b183*b405 + 2184
    *b183*b406 + 4872*b183*b407 + 1848*b183*b408 + 12936*b183*b409 + 5376*b183*
    b410 + 14616*b183*b411 + 11256*b183*b412 + 15792*b183*b413 + 336*b183*b414
     + 1680*b183*b415 + 16632*b183*b416 + 9408*b183*b417 + 11760*b183*b418 + 
    16632*b183*b419 + 10080*b183*b420 + 5810*b183*b421 + 13612*b183*b422 + 2490
    *b183*b423 + 14940*b183*b424 + 12616*b183*b426 + 15106*b183*b427 + 2158*
    b183*b428 + 4814*b183*b429 + 1826*b183*b430 + 12782*b183*b431 + 5312*b183*
    b432 + 14442*b183*b433 + 11122*b183*b434 + 15604*b183*b435 + 332*b183*b436
     + 1660*b183*b437 + 16434*b183*b438 + 9296*b183*b439 + 11620*b183*b440 + 
    16434*b183*b441 + 9960*b183*b442 + 4270*b183*b443 + 10004*b183*b444 + 1830*
    b183*b445 + 10980*b183*b446 + 9272*b183*b448 + 11102*b183*b449 + 1586*b183*
    b450 + 3538*b183*b451 + 1342*b183*b452 + 9394*b183*b453 + 3904*b183*b454 + 
    10614*b183*b455 + 8174*b183*b456 + 11468*b183*b457 + 244*b183*b458 + 1220*
    b183*b459 + 12078*b183*b460 + 6832*b183*b461 + 8540*b183*b462 + 12078*b183*
    b463 + 7320*b183*b464 + 1750*b183*b465 + 4100*b183*b466 + 750*b183*b467 + 
    4500*b183*b468 + 3800*b183*b470 + 4550*b183*b471 + 650*b183*b472 + 1450*
    b183*b473 + 550*b183*b474 + 3850*b183*b475 + 1600*b183*b476 + 4350*b183*
    b477 + 3350*b183*b478 + 4700*b183*b479 + 100*b183*b480 + 500*b183*b481 + 
    4950*b183*b482 + 2800*b183*b483 + 3500*b183*b484 + 4950*b183*b485 + 3000*
    b183*b486 + 2870*b183*b487 + 6724*b183*b488 + 1230*b183*b489 + 7380*b183*
    b490 + 6232*b183*b492 + 7462*b183*b493 + 1066*b183*b494 + 2378*b183*b495 + 
    902*b183*b496 + 6314*b183*b497 + 2624*b183*b498 + 7134*b183*b499 + 5494*
    b183*b500 + 7708*b183*b501 + 164*b183*b502 + 820*b183*b503 + 8118*b183*b504
     + 4592*b183*b505 + 5740*b183*b506 + 8118*b183*b507 + 4920*b183*b508 + 560*
    b183*b509 + 1312*b183*b510 + 240*b183*b511 + 1440*b183*b512 + 1216*b183*
    b514 + 1456*b183*b515 + 208*b183*b516 + 464*b183*b517 + 176*b183*b518 + 
    1232*b183*b519 + 512*b183*b520 + 1392*b183*b521 + 1072*b183*b522 + 1504*
    b183*b523 + 32*b183*b524 + 160*b183*b525 + 1584*b183*b526 + 896*b183*b527
     + 1120*b183*b528 + 1584*b183*b529 + 960*b183*b530 + 984*b183*b531 + 1896*
    b183*b532 + 96*b183*b533 + 3280*b183*b534 + 6320*b183*b535 + 320*b183*b536
     + 82*b183*b537 + 158*b183*b538 + 8*b183*b539 + 246*b183*b540 + 474*b183*
    b541 + 24*b183*b542 + 4756*b183*b543 + 9164*b183*b544 + 464*b183*b545 + 82*
    b183*b546 + 158*b183*b547 + 8*b183*b548 + 3526*b183*b549 + 6794*b183*b550
     + 344*b183*b551 + 1640*b183*b555 + 3160*b183*b556 + 160*b183*b557 + 6642*
    b183*b558 + 12798*b183*b559 + 648*b183*b560 + 8118*b183*b561 + 15642*b183*
    b562 + 792*b183*b563 + 3690*b183*b564 + 7110*b183*b565 + 360*b183*b566 + 
    4592*b183*b567 + 8848*b183*b568 + 448*b183*b569 + 1230*b183*b570 + 2370*
    b183*b571 + 120*b183*b572 + 8118*b183*b573 + 15642*b183*b574 + 792*b183*
    b575 + 5248*b183*b576 + 10112*b183*b577 + 512*b183*b578 + 4674*b183*b579 + 
    9006*b183*b580 + 456*b183*b581 + 6888*b183*b582 + 13272*b183*b583 + 672*
    b183*b584 + 6806*b183*b585 + 13114*b183*b586 + 664*b183*b587 + 5002*b183*
    b588 + 9638*b183*b589 + 488*b183*b590 + 2050*b183*b591 + 3950*b183*b592 + 
    200*b183*b593 + 3362*b183*b594 + 6478*b183*b595 + 328*b183*b596 + 656*b183*
    b597 + 1264*b183*b598 + 64*b183*b599 + 13448*b183*b600 + 2460*b183*b601 + 
    14760*b183*b602 + 12464*b183*b604 + 14924*b183*b605 + 2132*b183*b606 + 4756
    *b183*b607 + 1804*b183*b608 + 12628*b183*b609 + 5248*b183*b610 + 14268*b183
    *b611 + 10988*b183*b612 + 15416*b183*b613 + 12956*b183*b614 + 328*b183*b615
     + 1640*b183*b616 + 16236*b183*b617 + 9184*b183*b618 + 11480*b183*b619 + 
    16236*b183*b620 + 9840*b183*b621 + 656*b183*b622 + 5740*b183*b623 + 1722*
    b183*b624 + 3318*b183*b625 + 168*b183*b626 + 3280*b184*b201 + 240*b184*b202
     + 440*b184*b203 + 2640*b184*b204 + 3040*b184*b205 + 2240*b184*b207 + 80*
    b184*b208 + 2400*b184*b209 + 2880*b184*b210 + 2960*b184*b211 + 1840*b184*
    b212 + 520*b184*b213 + 800*b184*b214 + 3440*b184*b215 + 3080*b184*b216 + 
    600*b184*b217 + 3560*b184*b218 + 1920*b184*b219 + 560*b184*b220 + 3560*b184
    *b221 + 1760*b184*b222 + 13284*b184*b223 + 972*b184*b224 + 1782*b184*b225
     + 10692*b184*b226 + 12312*b184*b227 + 9072*b184*b229 + 324*b184*b230 + 
    9720*b184*b231 + 11664*b184*b232 + 11988*b184*b233 + 7452*b184*b234 + 2106*
    b184*b235 + 3240*b184*b236 + 13932*b184*b237 + 12474*b184*b238 + 2430*b184*
    b239 + 14418*b184*b240 + 7776*b184*b241 + 2268*b184*b242 + 14418*b184*b243
     + 7128*b184*b244 + 16236*b184*b245 + 1188*b184*b246 + 2178*b184*b247 + 
    13068*b184*b248 + 15048*b184*b249 + 11088*b184*b251 + 396*b184*b252 + 11880
    *b184*b253 + 14256*b184*b254 + 14652*b184*b255 + 9108*b184*b256 + 2574*b184
    *b257 + 3960*b184*b258 + 17028*b184*b259 + 15246*b184*b260 + 2970*b184*b261
     + 17622*b184*b262 + 9504*b184*b263 + 2772*b184*b264 + 17622*b184*b265 + 
    8712*b184*b266 + 7380*b184*b267 + 540*b184*b268 + 990*b184*b269 + 5940*b184
    *b270 + 6840*b184*b271 + 5040*b184*b273 + 180*b184*b274 + 5400*b184*b275 + 
    6480*b184*b276 + 6660*b184*b277 + 4140*b184*b278 + 1170*b184*b279 + 1800*
    b184*b280 + 7740*b184*b281 + 6930*b184*b282 + 1350*b184*b283 + 8010*b184*
    b284 + 4320*b184*b285 + 1260*b184*b286 + 8010*b184*b287 + 3960*b184*b288 + 
    9184*b184*b289 + 672*b184*b290 + 1232*b184*b291 + 7392*b184*b292 + 8512*
    b184*b293 + 6272*b184*b295 + 224*b184*b296 + 6720*b184*b297 + 8064*b184*
    b298 + 8288*b184*b299 + 5152*b184*b300 + 1456*b184*b301 + 2240*b184*b302 + 
    9632*b184*b303 + 8624*b184*b304 + 1680*b184*b305 + 9968*b184*b306 + 5376*
    b184*b307 + 1568*b184*b308 + 9968*b184*b309 + 4928*b184*b310 + 2460*b184*
    b311 + 180*b184*b312 + 330*b184*b313 + 1980*b184*b314 + 2280*b184*b315 + 
    1680*b184*b317 + 60*b184*b318 + 1800*b184*b319 + 2160*b184*b320 + 2220*b184
    *b321 + 1380*b184*b322 + 390*b184*b323 + 600*b184*b324 + 2580*b184*b325 + 
    2310*b184*b326 + 450*b184*b327 + 2670*b184*b328 + 1440*b184*b329 + 420*b184
    *b330 + 2670*b184*b331 + 1320*b184*b332 + 16236*b184*b333 + 1188*b184*b334
     + 2178*b184*b335 + 13068*b184*b336 + 15048*b184*b337 + 11088*b184*b339 + 
    396*b184*b340 + 11880*b184*b341 + 14256*b184*b342 + 14652*b184*b343 + 9108*
    b184*b344 + 2574*b184*b345 + 3960*b184*b346 + 17028*b184*b347 + 15246*b184*
    b348 + 2970*b184*b349 + 17622*b184*b350 + 9504*b184*b351 + 2772*b184*b352
     + 17622*b184*b353 + 8712*b184*b354 + 10496*b184*b355 + 768*b184*b356 + 
    1408*b184*b357 + 8448*b184*b358 + 9728*b184*b359 + 7168*b184*b361 + 256*
    b184*b362 + 7680*b184*b363 + 9216*b184*b364 + 9472*b184*b365 + 5888*b184*
    b366 + 1664*b184*b367 + 2560*b184*b368 + 11008*b184*b369 + 9856*b184*b370
     + 1920*b184*b371 + 11392*b184*b372 + 6144*b184*b373 + 1792*b184*b374 + 
    11392*b184*b375 + 5632*b184*b376 + 9348*b184*b377 + 684*b184*b378 + 1254*
    b184*b379 + 7524*b184*b380 + 8664*b184*b381 + 6384*b184*b383 + 228*b184*
    b384 + 6840*b184*b385 + 8208*b184*b386 + 8436*b184*b387 + 5244*b184*b388 + 
    1482*b184*b389 + 2280*b184*b390 + 9804*b184*b391 + 8778*b184*b392 + 1710*
    b184*b393 + 10146*b184*b394 + 5472*b184*b395 + 1596*b184*b396 + 10146*b184*
    b397 + 5016*b184*b398 + 13776*b184*b399 + 1008*b184*b400 + 1848*b184*b401
     + 11088*b184*b402 + 12768*b184*b403 + 9408*b184*b405 + 336*b184*b406 + 
    10080*b184*b407 + 12096*b184*b408 + 12432*b184*b409 + 7728*b184*b410 + 2184
    *b184*b411 + 3360*b184*b412 + 14448*b184*b413 + 12936*b184*b414 + 2520*b184
    *b415 + 14952*b184*b416 + 8064*b184*b417 + 2352*b184*b418 + 14952*b184*b419
     + 7392*b184*b420 + 13612*b184*b421 + 996*b184*b422 + 1826*b184*b423 + 
    10956*b184*b424 + 12616*b184*b425 + 9296*b184*b427 + 332*b184*b428 + 9960*
    b184*b429 + 11952*b184*b430 + 12284*b184*b431 + 7636*b184*b432 + 2158*b184*
    b433 + 3320*b184*b434 + 14276*b184*b435 + 12782*b184*b436 + 2490*b184*b437
     + 14774*b184*b438 + 7968*b184*b439 + 2324*b184*b440 + 14774*b184*b441 + 
    7304*b184*b442 + 10004*b184*b443 + 732*b184*b444 + 1342*b184*b445 + 8052*
    b184*b446 + 9272*b184*b447 + 6832*b184*b449 + 244*b184*b450 + 7320*b184*
    b451 + 8784*b184*b452 + 9028*b184*b453 + 5612*b184*b454 + 1586*b184*b455 + 
    2440*b184*b456 + 10492*b184*b457 + 9394*b184*b458 + 1830*b184*b459 + 10858*
    b184*b460 + 5856*b184*b461 + 1708*b184*b462 + 10858*b184*b463 + 5368*b184*
    b464 + 4100*b184*b465 + 300*b184*b466 + 550*b184*b467 + 3300*b184*b468 + 
    3800*b184*b469 + 2800*b184*b471 + 100*b184*b472 + 3000*b184*b473 + 3600*
    b184*b474 + 3700*b184*b475 + 2300*b184*b476 + 650*b184*b477 + 1000*b184*
    b478 + 4300*b184*b479 + 3850*b184*b480 + 750*b184*b481 + 4450*b184*b482 + 
    2400*b184*b483 + 700*b184*b484 + 4450*b184*b485 + 2200*b184*b486 + 6724*
    b184*b487 + 492*b184*b488 + 902*b184*b489 + 5412*b184*b490 + 6232*b184*b491
     + 4592*b184*b493 + 164*b184*b494 + 4920*b184*b495 + 5904*b184*b496 + 6068*
    b184*b497 + 3772*b184*b498 + 1066*b184*b499 + 1640*b184*b500 + 7052*b184*
    b501 + 6314*b184*b502 + 1230*b184*b503 + 7298*b184*b504 + 3936*b184*b505 + 
    1148*b184*b506 + 7298*b184*b507 + 3608*b184*b508 + 1312*b184*b509 + 96*b184
    *b510 + 176*b184*b511 + 1056*b184*b512 + 1216*b184*b513 + 896*b184*b515 + 
    32*b184*b516 + 960*b184*b517 + 1152*b184*b518 + 1184*b184*b519 + 736*b184*
    b520 + 208*b184*b521 + 320*b184*b522 + 1376*b184*b523 + 1232*b184*b524 + 
    240*b184*b525 + 1424*b184*b526 + 768*b184*b527 + 224*b184*b528 + 1424*b184*
    b529 + 704*b184*b530 + 144*b184*b531 + 96*b184*b532 + 1416*b184*b533 + 480*
    b184*b534 + 320*b184*b535 + 4720*b184*b536 + 12*b184*b537 + 8*b184*b538 + 
    118*b184*b539 + 36*b184*b540 + 24*b184*b541 + 354*b184*b542 + 696*b184*b543
     + 464*b184*b544 + 6844*b184*b545 + 12*b184*b546 + 8*b184*b547 + 118*b184*
    b548 + 516*b184*b549 + 344*b184*b550 + 5074*b184*b551 + 240*b184*b555 + 160
    *b184*b556 + 2360*b184*b557 + 972*b184*b558 + 648*b184*b559 + 9558*b184*
    b560 + 1188*b184*b561 + 792*b184*b562 + 11682*b184*b563 + 540*b184*b564 + 
    360*b184*b565 + 5310*b184*b566 + 672*b184*b567 + 448*b184*b568 + 6608*b184*
    b569 + 180*b184*b570 + 120*b184*b571 + 1770*b184*b572 + 1188*b184*b573 + 
    792*b184*b574 + 11682*b184*b575 + 768*b184*b576 + 512*b184*b577 + 7552*b184
    *b578 + 684*b184*b579 + 456*b184*b580 + 6726*b184*b581 + 1008*b184*b582 + 
    672*b184*b583 + 9912*b184*b584 + 996*b184*b585 + 664*b184*b586 + 9794*b184*
    b587 + 732*b184*b588 + 488*b184*b589 + 7198*b184*b590 + 300*b184*b591 + 200
    *b184*b592 + 2950*b184*b593 + 492*b184*b594 + 328*b184*b595 + 4838*b184*
    b596 + 96*b184*b597 + 64*b184*b598 + 944*b184*b599 + 984*b184*b600 + 1804*
    b184*b601 + 10824*b184*b602 + 12464*b184*b603 + 9184*b184*b605 + 328*b184*
    b606 + 9840*b184*b607 + 11808*b184*b608 + 12136*b184*b609 + 7544*b184*b610
     + 2132*b184*b611 + 3280*b184*b612 + 14104*b184*b613 + 656*b184*b614 + 
    12628*b184*b615 + 2460*b184*b616 + 14596*b184*b617 + 7872*b184*b618 + 2296*
    b184*b619 + 14596*b184*b620 + 7216*b184*b621 + 9676*b184*b622 + 13448*b184*
    b623 + 252*b184*b624 + 168*b184*b625 + 2478*b184*b626 + 1040*b185*b201 + 
    2840*b185*b202 + 1400*b185*b203 + 1640*b185*b204 + 3640*b185*b205 + 2240*
    b185*b206 + 880*b185*b208 + 2280*b185*b209 + 2520*b185*b210 + 240*b185*b211
     + 2480*b185*b213 + 1640*b185*b214 + 2480*b185*b215 + 1000*b185*b216 + 3000
    *b185*b217 + 3040*b185*b218 + 1600*b185*b219 + 2640*b185*b220 + 2320*b185*
    b221 + 1200*b185*b222 + 4212*b185*b223 + 11502*b185*b224 + 5670*b185*b225
     + 6642*b185*b226 + 14742*b185*b227 + 9072*b185*b228 + 3564*b185*b230 + 
    9234*b185*b231 + 10206*b185*b232 + 972*b185*b233 + 10044*b185*b235 + 6642*
    b185*b236 + 10044*b185*b237 + 4050*b185*b238 + 12150*b185*b239 + 12312*b185
    *b240 + 6480*b185*b241 + 10692*b185*b242 + 9396*b185*b243 + 4860*b185*b244
     + 5148*b185*b245 + 14058*b185*b246 + 6930*b185*b247 + 8118*b185*b248 + 
    18018*b185*b249 + 11088*b185*b250 + 4356*b185*b252 + 11286*b185*b253 + 
    12474*b185*b254 + 1188*b185*b255 + 12276*b185*b257 + 8118*b185*b258 + 12276
    *b185*b259 + 4950*b185*b260 + 14850*b185*b261 + 15048*b185*b262 + 7920*b185
    *b263 + 13068*b185*b264 + 11484*b185*b265 + 5940*b185*b266 + 2340*b185*b267
     + 6390*b185*b268 + 3150*b185*b269 + 3690*b185*b270 + 8190*b185*b271 + 5040
    *b185*b272 + 1980*b185*b274 + 5130*b185*b275 + 5670*b185*b276 + 540*b185*
    b277 + 5580*b185*b279 + 3690*b185*b280 + 5580*b185*b281 + 2250*b185*b282 + 
    6750*b185*b283 + 6840*b185*b284 + 3600*b185*b285 + 5940*b185*b286 + 5220*
    b185*b287 + 2700*b185*b288 + 2912*b185*b289 + 7952*b185*b290 + 3920*b185*
    b291 + 4592*b185*b292 + 10192*b185*b293 + 6272*b185*b294 + 2464*b185*b296
     + 6384*b185*b297 + 7056*b185*b298 + 672*b185*b299 + 6944*b185*b301 + 4592*
    b185*b302 + 6944*b185*b303 + 2800*b185*b304 + 8400*b185*b305 + 8512*b185*
    b306 + 4480*b185*b307 + 7392*b185*b308 + 6496*b185*b309 + 3360*b185*b310 + 
    780*b185*b311 + 2130*b185*b312 + 1050*b185*b313 + 1230*b185*b314 + 2730*
    b185*b315 + 1680*b185*b316 + 660*b185*b318 + 1710*b185*b319 + 1890*b185*
    b320 + 180*b185*b321 + 1860*b185*b323 + 1230*b185*b324 + 1860*b185*b325 + 
    750*b185*b326 + 2250*b185*b327 + 2280*b185*b328 + 1200*b185*b329 + 1980*
    b185*b330 + 1740*b185*b331 + 900*b185*b332 + 5148*b185*b333 + 14058*b185*
    b334 + 6930*b185*b335 + 8118*b185*b336 + 18018*b185*b337 + 11088*b185*b338
     + 4356*b185*b340 + 11286*b185*b341 + 12474*b185*b342 + 1188*b185*b343 + 
    12276*b185*b345 + 8118*b185*b346 + 12276*b185*b347 + 4950*b185*b348 + 14850
    *b185*b349 + 15048*b185*b350 + 7920*b185*b351 + 13068*b185*b352 + 11484*
    b185*b353 + 5940*b185*b354 + 3328*b185*b355 + 9088*b185*b356 + 4480*b185*
    b357 + 5248*b185*b358 + 11648*b185*b359 + 7168*b185*b360 + 2816*b185*b362
     + 7296*b185*b363 + 8064*b185*b364 + 768*b185*b365 + 7936*b185*b367 + 5248*
    b185*b368 + 7936*b185*b369 + 3200*b185*b370 + 9600*b185*b371 + 9728*b185*
    b372 + 5120*b185*b373 + 8448*b185*b374 + 7424*b185*b375 + 3840*b185*b376 + 
    2964*b185*b377 + 8094*b185*b378 + 3990*b185*b379 + 4674*b185*b380 + 10374*
    b185*b381 + 6384*b185*b382 + 2508*b185*b384 + 6498*b185*b385 + 7182*b185*
    b386 + 684*b185*b387 + 7068*b185*b389 + 4674*b185*b390 + 7068*b185*b391 + 
    2850*b185*b392 + 8550*b185*b393 + 8664*b185*b394 + 4560*b185*b395 + 7524*
    b185*b396 + 6612*b185*b397 + 3420*b185*b398 + 4368*b185*b399 + 11928*b185*
    b400 + 5880*b185*b401 + 6888*b185*b402 + 15288*b185*b403 + 9408*b185*b404
     + 3696*b185*b406 + 9576*b185*b407 + 10584*b185*b408 + 1008*b185*b409 + 
    10416*b185*b411 + 6888*b185*b412 + 10416*b185*b413 + 4200*b185*b414 + 12600
    *b185*b415 + 12768*b185*b416 + 6720*b185*b417 + 11088*b185*b418 + 9744*b185
    *b419 + 5040*b185*b420 + 4316*b185*b421 + 11786*b185*b422 + 5810*b185*b423
     + 6806*b185*b424 + 15106*b185*b425 + 9296*b185*b426 + 3652*b185*b428 + 
    9462*b185*b429 + 10458*b185*b430 + 996*b185*b431 + 10292*b185*b433 + 6806*
    b185*b434 + 10292*b185*b435 + 4150*b185*b436 + 12450*b185*b437 + 12616*b185
    *b438 + 6640*b185*b439 + 10956*b185*b440 + 9628*b185*b441 + 4980*b185*b442
     + 3172*b185*b443 + 8662*b185*b444 + 4270*b185*b445 + 5002*b185*b446 + 
    11102*b185*b447 + 6832*b185*b448 + 2684*b185*b450 + 6954*b185*b451 + 7686*
    b185*b452 + 732*b185*b453 + 7564*b185*b455 + 5002*b185*b456 + 7564*b185*
    b457 + 3050*b185*b458 + 9150*b185*b459 + 9272*b185*b460 + 4880*b185*b461 + 
    8052*b185*b462 + 7076*b185*b463 + 3660*b185*b464 + 1300*b185*b465 + 3550*
    b185*b466 + 1750*b185*b467 + 2050*b185*b468 + 4550*b185*b469 + 2800*b185*
    b470 + 1100*b185*b472 + 2850*b185*b473 + 3150*b185*b474 + 300*b185*b475 + 
    3100*b185*b477 + 2050*b185*b478 + 3100*b185*b479 + 1250*b185*b480 + 3750*
    b185*b481 + 3800*b185*b482 + 2000*b185*b483 + 3300*b185*b484 + 2900*b185*
    b485 + 1500*b185*b486 + 2132*b185*b487 + 5822*b185*b488 + 2870*b185*b489 + 
    3362*b185*b490 + 7462*b185*b491 + 4592*b185*b492 + 1804*b185*b494 + 4674*
    b185*b495 + 5166*b185*b496 + 492*b185*b497 + 5084*b185*b499 + 3362*b185*
    b500 + 5084*b185*b501 + 2050*b185*b502 + 6150*b185*b503 + 6232*b185*b504 + 
    3280*b185*b505 + 5412*b185*b506 + 4756*b185*b507 + 2460*b185*b508 + 416*
    b185*b509 + 1136*b185*b510 + 560*b185*b511 + 656*b185*b512 + 1456*b185*b513
     + 896*b185*b514 + 352*b185*b516 + 912*b185*b517 + 1008*b185*b518 + 96*b185
    *b519 + 992*b185*b521 + 656*b185*b522 + 992*b185*b523 + 400*b185*b524 + 
    1200*b185*b525 + 1216*b185*b526 + 640*b185*b527 + 1056*b185*b528 + 928*b185
    *b529 + 480*b185*b530 + 600*b185*b531 + 1104*b185*b532 + 1632*b185*b533 + 
    2000*b185*b534 + 3680*b185*b535 + 5440*b185*b536 + 50*b185*b537 + 92*b185*
    b538 + 136*b185*b539 + 150*b185*b540 + 276*b185*b541 + 408*b185*b542 + 2900
    *b185*b543 + 5336*b185*b544 + 7888*b185*b545 + 50*b185*b546 + 92*b185*b547
     + 136*b185*b548 + 2150*b185*b549 + 3956*b185*b550 + 5848*b185*b551 + 1000*
    b185*b555 + 1840*b185*b556 + 2720*b185*b557 + 4050*b185*b558 + 7452*b185*
    b559 + 11016*b185*b560 + 4950*b185*b561 + 9108*b185*b562 + 13464*b185*b563
     + 2250*b185*b564 + 4140*b185*b565 + 6120*b185*b566 + 2800*b185*b567 + 5152
    *b185*b568 + 7616*b185*b569 + 750*b185*b570 + 1380*b185*b571 + 2040*b185*
    b572 + 4950*b185*b573 + 9108*b185*b574 + 13464*b185*b575 + 3200*b185*b576
     + 5888*b185*b577 + 8704*b185*b578 + 2850*b185*b579 + 5244*b185*b580 + 7752
    *b185*b581 + 4200*b185*b582 + 7728*b185*b583 + 11424*b185*b584 + 4150*b185*
    b585 + 7636*b185*b586 + 11288*b185*b587 + 3050*b185*b588 + 5612*b185*b589
     + 8296*b185*b590 + 1250*b185*b591 + 2300*b185*b592 + 3400*b185*b593 + 2050
    *b185*b594 + 3772*b185*b595 + 5576*b185*b596 + 400*b185*b597 + 736*b185*
    b598 + 1088*b185*b599 + 11644*b185*b600 + 5740*b185*b601 + 6724*b185*b602
     + 14924*b185*b603 + 9184*b185*b604 + 3608*b185*b606 + 9348*b185*b607 + 
    10332*b185*b608 + 984*b185*b609 + 10168*b185*b611 + 6724*b185*b612 + 10168*
    b185*b613 + 7544*b185*b614 + 4100*b185*b615 + 12300*b185*b616 + 12464*b185*
    b617 + 6560*b185*b618 + 10824*b185*b619 + 9512*b185*b620 + 4920*b185*b621
     + 11152*b185*b622 + 4264*b185*b623 + 1050*b185*b624 + 1932*b185*b625 + 
    2856*b185*b626 + 2760*b186*b201 + 320*b186*b202 + 440*b186*b203 + 600*b186*
    b204 + 520*b186*b205 + 80*b186*b206 + 880*b186*b207 + 3120*b186*b209 + 3640
    *b186*b210 + 520*b186*b211 + 2360*b186*b212 + 1960*b186*b213 + 3400*b186*
    b214 + 3360*b186*b215 + 1520*b186*b216 + 1640*b186*b217 + 2240*b186*b218 + 
    1560*b186*b219 + 2120*b186*b220 + 3080*b186*b221 + 2000*b186*b222 + 11178*
    b186*b223 + 1296*b186*b224 + 1782*b186*b225 + 2430*b186*b226 + 2106*b186*
    b227 + 324*b186*b228 + 3564*b186*b229 + 12636*b186*b231 + 14742*b186*b232
     + 2106*b186*b233 + 9558*b186*b234 + 7938*b186*b235 + 13770*b186*b236 + 
    13608*b186*b237 + 6156*b186*b238 + 6642*b186*b239 + 9072*b186*b240 + 6318*
    b186*b241 + 8586*b186*b242 + 12474*b186*b243 + 8100*b186*b244 + 13662*b186*
    b245 + 1584*b186*b246 + 2178*b186*b247 + 2970*b186*b248 + 2574*b186*b249 + 
    396*b186*b250 + 4356*b186*b251 + 15444*b186*b253 + 18018*b186*b254 + 2574*
    b186*b255 + 11682*b186*b256 + 9702*b186*b257 + 16830*b186*b258 + 16632*b186
    *b259 + 7524*b186*b260 + 8118*b186*b261 + 11088*b186*b262 + 7722*b186*b263
     + 10494*b186*b264 + 15246*b186*b265 + 9900*b186*b266 + 6210*b186*b267 + 
    720*b186*b268 + 990*b186*b269 + 1350*b186*b270 + 1170*b186*b271 + 180*b186*
    b272 + 1980*b186*b273 + 7020*b186*b275 + 8190*b186*b276 + 1170*b186*b277 + 
    5310*b186*b278 + 4410*b186*b279 + 7650*b186*b280 + 7560*b186*b281 + 3420*
    b186*b282 + 3690*b186*b283 + 5040*b186*b284 + 3510*b186*b285 + 4770*b186*
    b286 + 6930*b186*b287 + 4500*b186*b288 + 7728*b186*b289 + 896*b186*b290 + 
    1232*b186*b291 + 1680*b186*b292 + 1456*b186*b293 + 224*b186*b294 + 2464*
    b186*b295 + 8736*b186*b297 + 10192*b186*b298 + 1456*b186*b299 + 6608*b186*
    b300 + 5488*b186*b301 + 9520*b186*b302 + 9408*b186*b303 + 4256*b186*b304 + 
    4592*b186*b305 + 6272*b186*b306 + 4368*b186*b307 + 5936*b186*b308 + 8624*
    b186*b309 + 5600*b186*b310 + 2070*b186*b311 + 240*b186*b312 + 330*b186*b313
     + 450*b186*b314 + 390*b186*b315 + 60*b186*b316 + 660*b186*b317 + 2340*b186
    *b319 + 2730*b186*b320 + 390*b186*b321 + 1770*b186*b322 + 1470*b186*b323 + 
    2550*b186*b324 + 2520*b186*b325 + 1140*b186*b326 + 1230*b186*b327 + 1680*
    b186*b328 + 1170*b186*b329 + 1590*b186*b330 + 2310*b186*b331 + 1500*b186*
    b332 + 13662*b186*b333 + 1584*b186*b334 + 2178*b186*b335 + 2970*b186*b336
     + 2574*b186*b337 + 396*b186*b338 + 4356*b186*b339 + 15444*b186*b341 + 
    18018*b186*b342 + 2574*b186*b343 + 11682*b186*b344 + 9702*b186*b345 + 16830
    *b186*b346 + 16632*b186*b347 + 7524*b186*b348 + 8118*b186*b349 + 11088*b186
    *b350 + 7722*b186*b351 + 10494*b186*b352 + 15246*b186*b353 + 9900*b186*b354
     + 8832*b186*b355 + 1024*b186*b356 + 1408*b186*b357 + 1920*b186*b358 + 1664
    *b186*b359 + 256*b186*b360 + 2816*b186*b361 + 9984*b186*b363 + 11648*b186*
    b364 + 1664*b186*b365 + 7552*b186*b366 + 6272*b186*b367 + 10880*b186*b368
     + 10752*b186*b369 + 4864*b186*b370 + 5248*b186*b371 + 7168*b186*b372 + 
    4992*b186*b373 + 6784*b186*b374 + 9856*b186*b375 + 6400*b186*b376 + 7866*
    b186*b377 + 912*b186*b378 + 1254*b186*b379 + 1710*b186*b380 + 1482*b186*
    b381 + 228*b186*b382 + 2508*b186*b383 + 8892*b186*b385 + 10374*b186*b386 + 
    1482*b186*b387 + 6726*b186*b388 + 5586*b186*b389 + 9690*b186*b390 + 9576*
    b186*b391 + 4332*b186*b392 + 4674*b186*b393 + 6384*b186*b394 + 4446*b186*
    b395 + 6042*b186*b396 + 8778*b186*b397 + 5700*b186*b398 + 11592*b186*b399
     + 1344*b186*b400 + 1848*b186*b401 + 2520*b186*b402 + 2184*b186*b403 + 336*
    b186*b404 + 3696*b186*b405 + 13104*b186*b407 + 15288*b186*b408 + 2184*b186*
    b409 + 9912*b186*b410 + 8232*b186*b411 + 14280*b186*b412 + 14112*b186*b413
     + 6384*b186*b414 + 6888*b186*b415 + 9408*b186*b416 + 6552*b186*b417 + 8904
    *b186*b418 + 12936*b186*b419 + 8400*b186*b420 + 11454*b186*b421 + 1328*b186
    *b422 + 1826*b186*b423 + 2490*b186*b424 + 2158*b186*b425 + 332*b186*b426 + 
    3652*b186*b427 + 12948*b186*b429 + 15106*b186*b430 + 2158*b186*b431 + 9794*
    b186*b432 + 8134*b186*b433 + 14110*b186*b434 + 13944*b186*b435 + 6308*b186*
    b436 + 6806*b186*b437 + 9296*b186*b438 + 6474*b186*b439 + 8798*b186*b440 + 
    12782*b186*b441 + 8300*b186*b442 + 8418*b186*b443 + 976*b186*b444 + 1342*
    b186*b445 + 1830*b186*b446 + 1586*b186*b447 + 244*b186*b448 + 2684*b186*
    b449 + 9516*b186*b451 + 11102*b186*b452 + 1586*b186*b453 + 7198*b186*b454
     + 5978*b186*b455 + 10370*b186*b456 + 10248*b186*b457 + 4636*b186*b458 + 
    5002*b186*b459 + 6832*b186*b460 + 4758*b186*b461 + 6466*b186*b462 + 9394*
    b186*b463 + 6100*b186*b464 + 3450*b186*b465 + 400*b186*b466 + 550*b186*b467
     + 750*b186*b468 + 650*b186*b469 + 100*b186*b470 + 1100*b186*b471 + 3900*
    b186*b473 + 4550*b186*b474 + 650*b186*b475 + 2950*b186*b476 + 2450*b186*
    b477 + 4250*b186*b478 + 4200*b186*b479 + 1900*b186*b480 + 2050*b186*b481 + 
    2800*b186*b482 + 1950*b186*b483 + 2650*b186*b484 + 3850*b186*b485 + 2500*
    b186*b486 + 5658*b186*b487 + 656*b186*b488 + 902*b186*b489 + 1230*b186*b490
     + 1066*b186*b491 + 164*b186*b492 + 1804*b186*b493 + 6396*b186*b495 + 7462*
    b186*b496 + 1066*b186*b497 + 4838*b186*b498 + 4018*b186*b499 + 6970*b186*
    b500 + 6888*b186*b501 + 3116*b186*b502 + 3362*b186*b503 + 4592*b186*b504 + 
    3198*b186*b505 + 4346*b186*b506 + 6314*b186*b507 + 4100*b186*b508 + 1104*
    b186*b509 + 128*b186*b510 + 176*b186*b511 + 240*b186*b512 + 208*b186*b513
     + 32*b186*b514 + 352*b186*b515 + 1248*b186*b517 + 1456*b186*b518 + 208*
    b186*b519 + 944*b186*b520 + 784*b186*b521 + 1360*b186*b522 + 1344*b186*b523
     + 608*b186*b524 + 656*b186*b525 + 896*b186*b526 + 624*b186*b527 + 848*b186
    *b528 + 1232*b186*b529 + 800*b186*b530 + 240*b186*b531 + 192*b186*b532 + 
    720*b186*b533 + 800*b186*b534 + 640*b186*b535 + 2400*b186*b536 + 20*b186*
    b537 + 16*b186*b538 + 60*b186*b539 + 60*b186*b540 + 48*b186*b541 + 180*b186
    *b542 + 1160*b186*b543 + 928*b186*b544 + 3480*b186*b545 + 20*b186*b546 + 16
    *b186*b547 + 60*b186*b548 + 860*b186*b549 + 688*b186*b550 + 2580*b186*b551
     + 400*b186*b555 + 320*b186*b556 + 1200*b186*b557 + 1620*b186*b558 + 1296*
    b186*b559 + 4860*b186*b560 + 1980*b186*b561 + 1584*b186*b562 + 5940*b186*
    b563 + 900*b186*b564 + 720*b186*b565 + 2700*b186*b566 + 1120*b186*b567 + 
    896*b186*b568 + 3360*b186*b569 + 300*b186*b570 + 240*b186*b571 + 900*b186*
    b572 + 1980*b186*b573 + 1584*b186*b574 + 5940*b186*b575 + 1280*b186*b576 + 
    1024*b186*b577 + 3840*b186*b578 + 1140*b186*b579 + 912*b186*b580 + 3420*
    b186*b581 + 1680*b186*b582 + 1344*b186*b583 + 5040*b186*b584 + 1660*b186*
    b585 + 1328*b186*b586 + 4980*b186*b587 + 1220*b186*b588 + 976*b186*b589 + 
    3660*b186*b590 + 500*b186*b591 + 400*b186*b592 + 1500*b186*b593 + 820*b186*
    b594 + 656*b186*b595 + 2460*b186*b596 + 160*b186*b597 + 128*b186*b598 + 480
    *b186*b599 + 1312*b186*b600 + 1804*b186*b601 + 2460*b186*b602 + 2132*b186*
    b603 + 328*b186*b604 + 3608*b186*b605 + 12792*b186*b607 + 14924*b186*b608
     + 2132*b186*b609 + 9676*b186*b610 + 8036*b186*b611 + 13940*b186*b612 + 
    13776*b186*b613 + 1312*b186*b614 + 6232*b186*b615 + 6724*b186*b616 + 9184*
    b186*b617 + 6396*b186*b618 + 8692*b186*b619 + 12628*b186*b620 + 8200*b186*
    b621 + 4920*b186*b622 + 11316*b186*b623 + 420*b186*b624 + 336*b186*b625 + 
    1260*b186*b626 + 2240*b187*b201 + 3080*b187*b202 + 800*b187*b203 + 3320*
    b187*b204 + 1160*b187*b205 + 2400*b187*b206 + 2280*b187*b207 + 3120*b187*
    b208 + 2320*b187*b210 + 2200*b187*b211 + 760*b187*b212 + 3400*b187*b213 + 
    2080*b187*b214 + 1360*b187*b215 + 1600*b187*b216 + 2760*b187*b217 + 480*
    b187*b218 + 3400*b187*b219 + 2880*b187*b220 + 280*b187*b221 + 1960*b187*
    b222 + 9072*b187*b223 + 12474*b187*b224 + 3240*b187*b225 + 13446*b187*b226
     + 4698*b187*b227 + 9720*b187*b228 + 9234*b187*b229 + 12636*b187*b230 + 
    9396*b187*b232 + 8910*b187*b233 + 3078*b187*b234 + 13770*b187*b235 + 8424*
    b187*b236 + 5508*b187*b237 + 6480*b187*b238 + 11178*b187*b239 + 1944*b187*
    b240 + 13770*b187*b241 + 11664*b187*b242 + 1134*b187*b243 + 7938*b187*b244
     + 11088*b187*b245 + 15246*b187*b246 + 3960*b187*b247 + 16434*b187*b248 + 
    5742*b187*b249 + 11880*b187*b250 + 11286*b187*b251 + 15444*b187*b252 + 
    11484*b187*b254 + 10890*b187*b255 + 3762*b187*b256 + 16830*b187*b257 + 
    10296*b187*b258 + 6732*b187*b259 + 7920*b187*b260 + 13662*b187*b261 + 2376*
    b187*b262 + 16830*b187*b263 + 14256*b187*b264 + 1386*b187*b265 + 9702*b187*
    b266 + 5040*b187*b267 + 6930*b187*b268 + 1800*b187*b269 + 7470*b187*b270 + 
    2610*b187*b271 + 5400*b187*b272 + 5130*b187*b273 + 7020*b187*b274 + 5220*
    b187*b276 + 4950*b187*b277 + 1710*b187*b278 + 7650*b187*b279 + 4680*b187*
    b280 + 3060*b187*b281 + 3600*b187*b282 + 6210*b187*b283 + 1080*b187*b284 + 
    7650*b187*b285 + 6480*b187*b286 + 630*b187*b287 + 4410*b187*b288 + 6272*
    b187*b289 + 8624*b187*b290 + 2240*b187*b291 + 9296*b187*b292 + 3248*b187*
    b293 + 6720*b187*b294 + 6384*b187*b295 + 8736*b187*b296 + 6496*b187*b298 + 
    6160*b187*b299 + 2128*b187*b300 + 9520*b187*b301 + 5824*b187*b302 + 3808*
    b187*b303 + 4480*b187*b304 + 7728*b187*b305 + 1344*b187*b306 + 9520*b187*
    b307 + 8064*b187*b308 + 784*b187*b309 + 5488*b187*b310 + 1680*b187*b311 + 
    2310*b187*b312 + 600*b187*b313 + 2490*b187*b314 + 870*b187*b315 + 1800*b187
    *b316 + 1710*b187*b317 + 2340*b187*b318 + 1740*b187*b320 + 1650*b187*b321
     + 570*b187*b322 + 2550*b187*b323 + 1560*b187*b324 + 1020*b187*b325 + 1200*
    b187*b326 + 2070*b187*b327 + 360*b187*b328 + 2550*b187*b329 + 2160*b187*
    b330 + 210*b187*b331 + 1470*b187*b332 + 11088*b187*b333 + 15246*b187*b334
     + 3960*b187*b335 + 16434*b187*b336 + 5742*b187*b337 + 11880*b187*b338 + 
    11286*b187*b339 + 15444*b187*b340 + 11484*b187*b342 + 10890*b187*b343 + 
    3762*b187*b344 + 16830*b187*b345 + 10296*b187*b346 + 6732*b187*b347 + 7920*
    b187*b348 + 13662*b187*b349 + 2376*b187*b350 + 16830*b187*b351 + 14256*b187
    *b352 + 1386*b187*b353 + 9702*b187*b354 + 7168*b187*b355 + 9856*b187*b356
     + 2560*b187*b357 + 10624*b187*b358 + 3712*b187*b359 + 7680*b187*b360 + 
    7296*b187*b361 + 9984*b187*b362 + 7424*b187*b364 + 7040*b187*b365 + 2432*
    b187*b366 + 10880*b187*b367 + 6656*b187*b368 + 4352*b187*b369 + 5120*b187*
    b370 + 8832*b187*b371 + 1536*b187*b372 + 10880*b187*b373 + 9216*b187*b374
     + 896*b187*b375 + 6272*b187*b376 + 6384*b187*b377 + 8778*b187*b378 + 2280*
    b187*b379 + 9462*b187*b380 + 3306*b187*b381 + 6840*b187*b382 + 6498*b187*
    b383 + 8892*b187*b384 + 6612*b187*b386 + 6270*b187*b387 + 2166*b187*b388 + 
    9690*b187*b389 + 5928*b187*b390 + 3876*b187*b391 + 4560*b187*b392 + 7866*
    b187*b393 + 1368*b187*b394 + 9690*b187*b395 + 8208*b187*b396 + 798*b187*
    b397 + 5586*b187*b398 + 9408*b187*b399 + 12936*b187*b400 + 3360*b187*b401
     + 13944*b187*b402 + 4872*b187*b403 + 10080*b187*b404 + 9576*b187*b405 + 
    13104*b187*b406 + 9744*b187*b408 + 9240*b187*b409 + 3192*b187*b410 + 14280*
    b187*b411 + 8736*b187*b412 + 5712*b187*b413 + 6720*b187*b414 + 11592*b187*
    b415 + 2016*b187*b416 + 14280*b187*b417 + 12096*b187*b418 + 1176*b187*b419
     + 8232*b187*b420 + 9296*b187*b421 + 12782*b187*b422 + 3320*b187*b423 + 
    13778*b187*b424 + 4814*b187*b425 + 9960*b187*b426 + 9462*b187*b427 + 12948*
    b187*b428 + 9628*b187*b430 + 9130*b187*b431 + 3154*b187*b432 + 14110*b187*
    b433 + 8632*b187*b434 + 5644*b187*b435 + 6640*b187*b436 + 11454*b187*b437
     + 1992*b187*b438 + 14110*b187*b439 + 11952*b187*b440 + 1162*b187*b441 + 
    8134*b187*b442 + 6832*b187*b443 + 9394*b187*b444 + 2440*b187*b445 + 10126*
    b187*b446 + 3538*b187*b447 + 7320*b187*b448 + 6954*b187*b449 + 9516*b187*
    b450 + 7076*b187*b452 + 6710*b187*b453 + 2318*b187*b454 + 10370*b187*b455
     + 6344*b187*b456 + 4148*b187*b457 + 4880*b187*b458 + 8418*b187*b459 + 1464
    *b187*b460 + 10370*b187*b461 + 8784*b187*b462 + 854*b187*b463 + 5978*b187*
    b464 + 2800*b187*b465 + 3850*b187*b466 + 1000*b187*b467 + 4150*b187*b468 + 
    1450*b187*b469 + 3000*b187*b470 + 2850*b187*b471 + 3900*b187*b472 + 2900*
    b187*b474 + 2750*b187*b475 + 950*b187*b476 + 4250*b187*b477 + 2600*b187*
    b478 + 1700*b187*b479 + 2000*b187*b480 + 3450*b187*b481 + 600*b187*b482 + 
    4250*b187*b483 + 3600*b187*b484 + 350*b187*b485 + 2450*b187*b486 + 4592*
    b187*b487 + 6314*b187*b488 + 1640*b187*b489 + 6806*b187*b490 + 2378*b187*
    b491 + 4920*b187*b492 + 4674*b187*b493 + 6396*b187*b494 + 4756*b187*b496 + 
    4510*b187*b497 + 1558*b187*b498 + 6970*b187*b499 + 4264*b187*b500 + 2788*
    b187*b501 + 3280*b187*b502 + 5658*b187*b503 + 984*b187*b504 + 6970*b187*
    b505 + 5904*b187*b506 + 574*b187*b507 + 4018*b187*b508 + 896*b187*b509 + 
    1232*b187*b510 + 320*b187*b511 + 1328*b187*b512 + 464*b187*b513 + 960*b187*
    b514 + 912*b187*b515 + 1248*b187*b516 + 928*b187*b518 + 880*b187*b519 + 304
    *b187*b520 + 1360*b187*b521 + 832*b187*b522 + 544*b187*b523 + 640*b187*b524
     + 1104*b187*b525 + 192*b187*b526 + 1360*b187*b527 + 1152*b187*b528 + 112*
    b187*b529 + 784*b187*b530 + 96*b187*b531 + 1272*b187*b532 + 1104*b187*b533
     + 320*b187*b534 + 4240*b187*b535 + 3680*b187*b536 + 8*b187*b537 + 106*b187
    *b538 + 92*b187*b539 + 24*b187*b540 + 318*b187*b541 + 276*b187*b542 + 464*
    b187*b543 + 6148*b187*b544 + 5336*b187*b545 + 8*b187*b546 + 106*b187*b547
     + 92*b187*b548 + 344*b187*b549 + 4558*b187*b550 + 3956*b187*b551 + 160*
    b187*b555 + 2120*b187*b556 + 1840*b187*b557 + 648*b187*b558 + 8586*b187*
    b559 + 7452*b187*b560 + 792*b187*b561 + 10494*b187*b562 + 9108*b187*b563 + 
    360*b187*b564 + 4770*b187*b565 + 4140*b187*b566 + 448*b187*b567 + 5936*b187
    *b568 + 5152*b187*b569 + 120*b187*b570 + 1590*b187*b571 + 1380*b187*b572 + 
    792*b187*b573 + 10494*b187*b574 + 9108*b187*b575 + 512*b187*b576 + 6784*
    b187*b577 + 5888*b187*b578 + 456*b187*b579 + 6042*b187*b580 + 5244*b187*
    b581 + 672*b187*b582 + 8904*b187*b583 + 7728*b187*b584 + 664*b187*b585 + 
    8798*b187*b586 + 7636*b187*b587 + 488*b187*b588 + 6466*b187*b589 + 5612*
    b187*b590 + 200*b187*b591 + 2650*b187*b592 + 2300*b187*b593 + 328*b187*b594
     + 4346*b187*b595 + 3772*b187*b596 + 64*b187*b597 + 848*b187*b598 + 736*
    b187*b599 + 12628*b187*b600 + 3280*b187*b601 + 13612*b187*b602 + 4756*b187*
    b603 + 9840*b187*b604 + 9348*b187*b605 + 12792*b187*b606 + 9512*b187*b608
     + 9020*b187*b609 + 3116*b187*b610 + 13940*b187*b611 + 8528*b187*b612 + 
    5576*b187*b613 + 8692*b187*b614 + 6560*b187*b615 + 11316*b187*b616 + 1968*
    b187*b617 + 13940*b187*b618 + 11808*b187*b619 + 1148*b187*b620 + 8036*b187*
    b621 + 7544*b187*b622 + 9184*b187*b623 + 168*b187*b624 + 2226*b187*b625 + 
    1932*b187*b626 + 3440*b188*b201 + 2960*b188*b202 + 840*b188*b203 + 3840*
    b188*b204 + 440*b188*b205 + 2880*b188*b206 + 2520*b188*b207 + 3640*b188*
    b208 + 2320*b188*b209 + 3480*b188*b211 + 2320*b188*b212 + 680*b188*b213 + 
    2720*b188*b214 + 1080*b188*b215 + 240*b188*b216 + 2680*b188*b217 + 1040*
    b188*b218 + 3280*b188*b219 + 1760*b188*b220 + 1400*b188*b221 + 120*b188*
    b222 + 13932*b188*b223 + 11988*b188*b224 + 3402*b188*b225 + 15552*b188*b226
     + 1782*b188*b227 + 11664*b188*b228 + 10206*b188*b229 + 14742*b188*b230 + 
    9396*b188*b231 + 14094*b188*b233 + 9396*b188*b234 + 2754*b188*b235 + 11016*
    b188*b236 + 4374*b188*b237 + 972*b188*b238 + 10854*b188*b239 + 4212*b188*
    b240 + 13284*b188*b241 + 7128*b188*b242 + 5670*b188*b243 + 486*b188*b244 + 
    17028*b188*b245 + 14652*b188*b246 + 4158*b188*b247 + 19008*b188*b248 + 2178
    *b188*b249 + 14256*b188*b250 + 12474*b188*b251 + 18018*b188*b252 + 11484*
    b188*b253 + 17226*b188*b255 + 11484*b188*b256 + 3366*b188*b257 + 13464*b188
    *b258 + 5346*b188*b259 + 1188*b188*b260 + 13266*b188*b261 + 5148*b188*b262
     + 16236*b188*b263 + 8712*b188*b264 + 6930*b188*b265 + 594*b188*b266 + 7740
    *b188*b267 + 6660*b188*b268 + 1890*b188*b269 + 8640*b188*b270 + 990*b188*
    b271 + 6480*b188*b272 + 5670*b188*b273 + 8190*b188*b274 + 5220*b188*b275 + 
    7830*b188*b277 + 5220*b188*b278 + 1530*b188*b279 + 6120*b188*b280 + 2430*
    b188*b281 + 540*b188*b282 + 6030*b188*b283 + 2340*b188*b284 + 7380*b188*
    b285 + 3960*b188*b286 + 3150*b188*b287 + 270*b188*b288 + 9632*b188*b289 + 
    8288*b188*b290 + 2352*b188*b291 + 10752*b188*b292 + 1232*b188*b293 + 8064*
    b188*b294 + 7056*b188*b295 + 10192*b188*b296 + 6496*b188*b297 + 9744*b188*
    b299 + 6496*b188*b300 + 1904*b188*b301 + 7616*b188*b302 + 3024*b188*b303 + 
    672*b188*b304 + 7504*b188*b305 + 2912*b188*b306 + 9184*b188*b307 + 4928*
    b188*b308 + 3920*b188*b309 + 336*b188*b310 + 2580*b188*b311 + 2220*b188*
    b312 + 630*b188*b313 + 2880*b188*b314 + 330*b188*b315 + 2160*b188*b316 + 
    1890*b188*b317 + 2730*b188*b318 + 1740*b188*b319 + 2610*b188*b321 + 1740*
    b188*b322 + 510*b188*b323 + 2040*b188*b324 + 810*b188*b325 + 180*b188*b326
     + 2010*b188*b327 + 780*b188*b328 + 2460*b188*b329 + 1320*b188*b330 + 1050*
    b188*b331 + 90*b188*b332 + 17028*b188*b333 + 14652*b188*b334 + 4158*b188*
    b335 + 19008*b188*b336 + 2178*b188*b337 + 14256*b188*b338 + 12474*b188*b339
     + 18018*b188*b340 + 11484*b188*b341 + 17226*b188*b343 + 11484*b188*b344 + 
    3366*b188*b345 + 13464*b188*b346 + 5346*b188*b347 + 1188*b188*b348 + 13266*
    b188*b349 + 5148*b188*b350 + 16236*b188*b351 + 8712*b188*b352 + 6930*b188*
    b353 + 594*b188*b354 + 11008*b188*b355 + 9472*b188*b356 + 2688*b188*b357 + 
    12288*b188*b358 + 1408*b188*b359 + 9216*b188*b360 + 8064*b188*b361 + 11648*
    b188*b362 + 7424*b188*b363 + 11136*b188*b365 + 7424*b188*b366 + 2176*b188*
    b367 + 8704*b188*b368 + 3456*b188*b369 + 768*b188*b370 + 8576*b188*b371 + 
    3328*b188*b372 + 10496*b188*b373 + 5632*b188*b374 + 4480*b188*b375 + 384*
    b188*b376 + 9804*b188*b377 + 8436*b188*b378 + 2394*b188*b379 + 10944*b188*
    b380 + 1254*b188*b381 + 8208*b188*b382 + 7182*b188*b383 + 10374*b188*b384
     + 6612*b188*b385 + 9918*b188*b387 + 6612*b188*b388 + 1938*b188*b389 + 7752
    *b188*b390 + 3078*b188*b391 + 684*b188*b392 + 7638*b188*b393 + 2964*b188*
    b394 + 9348*b188*b395 + 5016*b188*b396 + 3990*b188*b397 + 342*b188*b398 + 
    14448*b188*b399 + 12432*b188*b400 + 3528*b188*b401 + 16128*b188*b402 + 1848
    *b188*b403 + 12096*b188*b404 + 10584*b188*b405 + 15288*b188*b406 + 9744*
    b188*b407 + 14616*b188*b409 + 9744*b188*b410 + 2856*b188*b411 + 11424*b188*
    b412 + 4536*b188*b413 + 1008*b188*b414 + 11256*b188*b415 + 4368*b188*b416
     + 13776*b188*b417 + 7392*b188*b418 + 5880*b188*b419 + 504*b188*b420 + 
    14276*b188*b421 + 12284*b188*b422 + 3486*b188*b423 + 15936*b188*b424 + 1826
    *b188*b425 + 11952*b188*b426 + 10458*b188*b427 + 15106*b188*b428 + 9628*
    b188*b429 + 14442*b188*b431 + 9628*b188*b432 + 2822*b188*b433 + 11288*b188*
    b434 + 4482*b188*b435 + 996*b188*b436 + 11122*b188*b437 + 4316*b188*b438 + 
    13612*b188*b439 + 7304*b188*b440 + 5810*b188*b441 + 498*b188*b442 + 10492*
    b188*b443 + 9028*b188*b444 + 2562*b188*b445 + 11712*b188*b446 + 1342*b188*
    b447 + 8784*b188*b448 + 7686*b188*b449 + 11102*b188*b450 + 7076*b188*b451
     + 10614*b188*b453 + 7076*b188*b454 + 2074*b188*b455 + 8296*b188*b456 + 
    3294*b188*b457 + 732*b188*b458 + 8174*b188*b459 + 3172*b188*b460 + 10004*
    b188*b461 + 5368*b188*b462 + 4270*b188*b463 + 366*b188*b464 + 4300*b188*
    b465 + 3700*b188*b466 + 1050*b188*b467 + 4800*b188*b468 + 550*b188*b469 + 
    3600*b188*b470 + 3150*b188*b471 + 4550*b188*b472 + 2900*b188*b473 + 4350*
    b188*b475 + 2900*b188*b476 + 850*b188*b477 + 3400*b188*b478 + 1350*b188*
    b479 + 300*b188*b480 + 3350*b188*b481 + 1300*b188*b482 + 4100*b188*b483 + 
    2200*b188*b484 + 1750*b188*b485 + 150*b188*b486 + 7052*b188*b487 + 6068*
    b188*b488 + 1722*b188*b489 + 7872*b188*b490 + 902*b188*b491 + 5904*b188*
    b492 + 5166*b188*b493 + 7462*b188*b494 + 4756*b188*b495 + 7134*b188*b497 + 
    4756*b188*b498 + 1394*b188*b499 + 5576*b188*b500 + 2214*b188*b501 + 492*
    b188*b502 + 5494*b188*b503 + 2132*b188*b504 + 6724*b188*b505 + 3608*b188*
    b506 + 2870*b188*b507 + 246*b188*b508 + 1376*b188*b509 + 1184*b188*b510 + 
    336*b188*b511 + 1536*b188*b512 + 176*b188*b513 + 1152*b188*b514 + 1008*b188
    *b515 + 1456*b188*b516 + 928*b188*b517 + 1392*b188*b519 + 928*b188*b520 + 
    272*b188*b521 + 1088*b188*b522 + 432*b188*b523 + 96*b188*b524 + 1072*b188*
    b525 + 416*b188*b526 + 1312*b188*b527 + 704*b188*b528 + 560*b188*b529 + 48*
    b188*b530 + 1512*b188*b531 + 504*b188*b532 + 1488*b188*b533 + 5040*b188*
    b534 + 1680*b188*b535 + 4960*b188*b536 + 126*b188*b537 + 42*b188*b538 + 124
    *b188*b539 + 378*b188*b540 + 126*b188*b541 + 372*b188*b542 + 7308*b188*b543
     + 2436*b188*b544 + 7192*b188*b545 + 126*b188*b546 + 42*b188*b547 + 124*
    b188*b548 + 5418*b188*b549 + 1806*b188*b550 + 5332*b188*b551 + 2520*b188*
    b555 + 840*b188*b556 + 2480*b188*b557 + 10206*b188*b558 + 3402*b188*b559 + 
    10044*b188*b560 + 12474*b188*b561 + 4158*b188*b562 + 12276*b188*b563 + 5670
    *b188*b564 + 1890*b188*b565 + 5580*b188*b566 + 7056*b188*b567 + 2352*b188*
    b568 + 6944*b188*b569 + 1890*b188*b570 + 630*b188*b571 + 1860*b188*b572 + 
    12474*b188*b573 + 4158*b188*b574 + 12276*b188*b575 + 8064*b188*b576 + 2688*
    b188*b577 + 7936*b188*b578 + 7182*b188*b579 + 2394*b188*b580 + 7068*b188*
    b581 + 10584*b188*b582 + 3528*b188*b583 + 10416*b188*b584 + 10458*b188*b585
     + 3486*b188*b586 + 10292*b188*b587 + 7686*b188*b588 + 2562*b188*b589 + 
    7564*b188*b590 + 3150*b188*b591 + 1050*b188*b592 + 3100*b188*b593 + 5166*
    b188*b594 + 1722*b188*b595 + 5084*b188*b596 + 1008*b188*b597 + 336*b188*
    b598 + 992*b188*b599 + 12136*b188*b600 + 3444*b188*b601 + 15744*b188*b602
     + 1804*b188*b603 + 11808*b188*b604 + 10332*b188*b605 + 14924*b188*b606 + 
    9512*b188*b607 + 14268*b188*b609 + 9512*b188*b610 + 2788*b188*b611 + 11152*
    b188*b612 + 4428*b188*b613 + 3444*b188*b614 + 984*b188*b615 + 10988*b188*
    b616 + 4264*b188*b617 + 13448*b188*b618 + 7216*b188*b619 + 5740*b188*b620
     + 492*b188*b621 + 10168*b188*b622 + 14104*b188*b623 + 2646*b188*b624 + 882
    *b188*b625 + 2604*b188*b626 + 1800*b189*b201 + 1200*b189*b202 + 2440*b189*
    b203 + 2960*b189*b204 + 3080*b189*b205 + 2960*b189*b206 + 240*b189*b207 + 
    520*b189*b208 + 2200*b189*b209 + 3480*b189*b210 + 320*b189*b212 + 2040*b189
    *b213 + 40*b189*b214 + 3640*b189*b215 + 3480*b189*b216 + 2880*b189*b217 + 
    1800*b189*b218 + 3840*b189*b219 + 280*b189*b220 + 3480*b189*b221 + 2720*
    b189*b222 + 7290*b189*b223 + 4860*b189*b224 + 9882*b189*b225 + 11988*b189*
    b226 + 12474*b189*b227 + 11988*b189*b228 + 972*b189*b229 + 2106*b189*b230
     + 8910*b189*b231 + 14094*b189*b232 + 1296*b189*b234 + 8262*b189*b235 + 162
    *b189*b236 + 14742*b189*b237 + 14094*b189*b238 + 11664*b189*b239 + 7290*
    b189*b240 + 15552*b189*b241 + 1134*b189*b242 + 14094*b189*b243 + 11016*b189
    *b244 + 8910*b189*b245 + 5940*b189*b246 + 12078*b189*b247 + 14652*b189*b248
     + 15246*b189*b249 + 14652*b189*b250 + 1188*b189*b251 + 2574*b189*b252 + 
    10890*b189*b253 + 17226*b189*b254 + 1584*b189*b256 + 10098*b189*b257 + 198*
    b189*b258 + 18018*b189*b259 + 17226*b189*b260 + 14256*b189*b261 + 8910*b189
    *b262 + 19008*b189*b263 + 1386*b189*b264 + 17226*b189*b265 + 13464*b189*
    b266 + 4050*b189*b267 + 2700*b189*b268 + 5490*b189*b269 + 6660*b189*b270 + 
    6930*b189*b271 + 6660*b189*b272 + 540*b189*b273 + 1170*b189*b274 + 4950*
    b189*b275 + 7830*b189*b276 + 720*b189*b278 + 4590*b189*b279 + 90*b189*b280
     + 8190*b189*b281 + 7830*b189*b282 + 6480*b189*b283 + 4050*b189*b284 + 8640
    *b189*b285 + 630*b189*b286 + 7830*b189*b287 + 6120*b189*b288 + 5040*b189*
    b289 + 3360*b189*b290 + 6832*b189*b291 + 8288*b189*b292 + 8624*b189*b293 + 
    8288*b189*b294 + 672*b189*b295 + 1456*b189*b296 + 6160*b189*b297 + 9744*
    b189*b298 + 896*b189*b300 + 5712*b189*b301 + 112*b189*b302 + 10192*b189*
    b303 + 9744*b189*b304 + 8064*b189*b305 + 5040*b189*b306 + 10752*b189*b307
     + 784*b189*b308 + 9744*b189*b309 + 7616*b189*b310 + 1350*b189*b311 + 900*
    b189*b312 + 1830*b189*b313 + 2220*b189*b314 + 2310*b189*b315 + 2220*b189*
    b316 + 180*b189*b317 + 390*b189*b318 + 1650*b189*b319 + 2610*b189*b320 + 
    240*b189*b322 + 1530*b189*b323 + 30*b189*b324 + 2730*b189*b325 + 2610*b189*
    b326 + 2160*b189*b327 + 1350*b189*b328 + 2880*b189*b329 + 210*b189*b330 + 
    2610*b189*b331 + 2040*b189*b332 + 8910*b189*b333 + 5940*b189*b334 + 12078*
    b189*b335 + 14652*b189*b336 + 15246*b189*b337 + 14652*b189*b338 + 1188*b189
    *b339 + 2574*b189*b340 + 10890*b189*b341 + 17226*b189*b342 + 1584*b189*b344
     + 10098*b189*b345 + 198*b189*b346 + 18018*b189*b347 + 17226*b189*b348 + 
    14256*b189*b349 + 8910*b189*b350 + 19008*b189*b351 + 1386*b189*b352 + 17226
    *b189*b353 + 13464*b189*b354 + 5760*b189*b355 + 3840*b189*b356 + 7808*b189*
    b357 + 9472*b189*b358 + 9856*b189*b359 + 9472*b189*b360 + 768*b189*b361 + 
    1664*b189*b362 + 7040*b189*b363 + 11136*b189*b364 + 1024*b189*b366 + 6528*
    b189*b367 + 128*b189*b368 + 11648*b189*b369 + 11136*b189*b370 + 9216*b189*
    b371 + 5760*b189*b372 + 12288*b189*b373 + 896*b189*b374 + 11136*b189*b375
     + 8704*b189*b376 + 5130*b189*b377 + 3420*b189*b378 + 6954*b189*b379 + 8436
    *b189*b380 + 8778*b189*b381 + 8436*b189*b382 + 684*b189*b383 + 1482*b189*
    b384 + 6270*b189*b385 + 9918*b189*b386 + 912*b189*b388 + 5814*b189*b389 + 
    114*b189*b390 + 10374*b189*b391 + 9918*b189*b392 + 8208*b189*b393 + 5130*
    b189*b394 + 10944*b189*b395 + 798*b189*b396 + 9918*b189*b397 + 7752*b189*
    b398 + 7560*b189*b399 + 5040*b189*b400 + 10248*b189*b401 + 12432*b189*b402
     + 12936*b189*b403 + 12432*b189*b404 + 1008*b189*b405 + 2184*b189*b406 + 
    9240*b189*b407 + 14616*b189*b408 + 1344*b189*b410 + 8568*b189*b411 + 168*
    b189*b412 + 15288*b189*b413 + 14616*b189*b414 + 12096*b189*b415 + 7560*b189
    *b416 + 16128*b189*b417 + 1176*b189*b418 + 14616*b189*b419 + 11424*b189*
    b420 + 7470*b189*b421 + 4980*b189*b422 + 10126*b189*b423 + 12284*b189*b424
     + 12782*b189*b425 + 12284*b189*b426 + 996*b189*b427 + 2158*b189*b428 + 
    9130*b189*b429 + 14442*b189*b430 + 1328*b189*b432 + 8466*b189*b433 + 166*
    b189*b434 + 15106*b189*b435 + 14442*b189*b436 + 11952*b189*b437 + 7470*b189
    *b438 + 15936*b189*b439 + 1162*b189*b440 + 14442*b189*b441 + 11288*b189*
    b442 + 5490*b189*b443 + 3660*b189*b444 + 7442*b189*b445 + 9028*b189*b446 + 
    9394*b189*b447 + 9028*b189*b448 + 732*b189*b449 + 1586*b189*b450 + 6710*
    b189*b451 + 10614*b189*b452 + 976*b189*b454 + 6222*b189*b455 + 122*b189*
    b456 + 11102*b189*b457 + 10614*b189*b458 + 8784*b189*b459 + 5490*b189*b460
     + 11712*b189*b461 + 854*b189*b462 + 10614*b189*b463 + 8296*b189*b464 + 
    2250*b189*b465 + 1500*b189*b466 + 3050*b189*b467 + 3700*b189*b468 + 3850*
    b189*b469 + 3700*b189*b470 + 300*b189*b471 + 650*b189*b472 + 2750*b189*b473
     + 4350*b189*b474 + 400*b189*b476 + 2550*b189*b477 + 50*b189*b478 + 4550*
    b189*b479 + 4350*b189*b480 + 3600*b189*b481 + 2250*b189*b482 + 4800*b189*
    b483 + 350*b189*b484 + 4350*b189*b485 + 3400*b189*b486 + 3690*b189*b487 + 
    2460*b189*b488 + 5002*b189*b489 + 6068*b189*b490 + 6314*b189*b491 + 6068*
    b189*b492 + 492*b189*b493 + 1066*b189*b494 + 4510*b189*b495 + 7134*b189*
    b496 + 656*b189*b498 + 4182*b189*b499 + 82*b189*b500 + 7462*b189*b501 + 
    7134*b189*b502 + 5904*b189*b503 + 3690*b189*b504 + 7872*b189*b505 + 574*
    b189*b506 + 7134*b189*b507 + 5576*b189*b508 + 720*b189*b509 + 480*b189*b510
     + 976*b189*b511 + 1184*b189*b512 + 1232*b189*b513 + 1184*b189*b514 + 96*
    b189*b515 + 208*b189*b516 + 880*b189*b517 + 1392*b189*b518 + 128*b189*b520
     + 816*b189*b521 + 16*b189*b522 + 1456*b189*b523 + 1392*b189*b524 + 1152*
    b189*b525 + 720*b189*b526 + 1536*b189*b527 + 112*b189*b528 + 1392*b189*b529
     + 1088*b189*b530 + 144*b189*b531 + 936*b189*b532 + 792*b189*b533 + 480*
    b189*b534 + 3120*b189*b535 + 2640*b189*b536 + 12*b189*b537 + 78*b189*b538
     + 66*b189*b539 + 36*b189*b540 + 234*b189*b541 + 198*b189*b542 + 696*b189*
    b543 + 4524*b189*b544 + 3828*b189*b545 + 12*b189*b546 + 78*b189*b547 + 66*
    b189*b548 + 516*b189*b549 + 3354*b189*b550 + 2838*b189*b551 + 240*b189*b555
     + 1560*b189*b556 + 1320*b189*b557 + 972*b189*b558 + 6318*b189*b559 + 5346*
    b189*b560 + 1188*b189*b561 + 7722*b189*b562 + 6534*b189*b563 + 540*b189*
    b564 + 3510*b189*b565 + 2970*b189*b566 + 672*b189*b567 + 4368*b189*b568 + 
    3696*b189*b569 + 180*b189*b570 + 1170*b189*b571 + 990*b189*b572 + 1188*b189
    *b573 + 7722*b189*b574 + 6534*b189*b575 + 768*b189*b576 + 4992*b189*b577 + 
    4224*b189*b578 + 684*b189*b579 + 4446*b189*b580 + 3762*b189*b581 + 1008*
    b189*b582 + 6552*b189*b583 + 5544*b189*b584 + 996*b189*b585 + 6474*b189*
    b586 + 5478*b189*b587 + 732*b189*b588 + 4758*b189*b589 + 4026*b189*b590 + 
    300*b189*b591 + 1950*b189*b592 + 1650*b189*b593 + 492*b189*b594 + 3198*b189
    *b595 + 2706*b189*b596 + 96*b189*b597 + 624*b189*b598 + 528*b189*b599 + 
    4920*b189*b600 + 10004*b189*b601 + 12136*b189*b602 + 12628*b189*b603 + 
    12136*b189*b604 + 984*b189*b605 + 2132*b189*b606 + 9020*b189*b607 + 14268*
    b189*b608 + 1312*b189*b610 + 8364*b189*b611 + 164*b189*b612 + 14924*b189*
    b613 + 6396*b189*b614 + 14268*b189*b615 + 11808*b189*b616 + 7380*b189*b617
     + 15744*b189*b618 + 1148*b189*b619 + 14268*b189*b620 + 11152*b189*b621 + 
    5412*b189*b622 + 7380*b189*b623 + 252*b189*b624 + 1638*b189*b625 + 1386*
    b189*b626 + 3640*b190*b201 + 3560*b190*b202 + 3200*b190*b203 + 1800*b190*
    b204 + 1280*b190*b205 + 1840*b190*b206 + 2360*b190*b208 + 760*b190*b209 + 
    2320*b190*b210 + 320*b190*b211 + 120*b190*b213 + 840*b190*b214 + 3600*b190*
    b215 + 1880*b190*b216 + 1000*b190*b217 + 1200*b190*b218 + 1720*b190*b219 + 
    3880*b190*b220 + 1320*b190*b221 + 1400*b190*b222 + 14742*b190*b223 + 14418*
    b190*b224 + 12960*b190*b225 + 7290*b190*b226 + 5184*b190*b227 + 7452*b190*
    b228 + 9558*b190*b230 + 3078*b190*b231 + 9396*b190*b232 + 1296*b190*b233 + 
    486*b190*b235 + 3402*b190*b236 + 14580*b190*b237 + 7614*b190*b238 + 4050*
    b190*b239 + 4860*b190*b240 + 6966*b190*b241 + 15714*b190*b242 + 5346*b190*
    b243 + 5670*b190*b244 + 18018*b190*b245 + 17622*b190*b246 + 15840*b190*b247
     + 8910*b190*b248 + 6336*b190*b249 + 9108*b190*b250 + 11682*b190*b252 + 
    3762*b190*b253 + 11484*b190*b254 + 1584*b190*b255 + 594*b190*b257 + 4158*
    b190*b258 + 17820*b190*b259 + 9306*b190*b260 + 4950*b190*b261 + 5940*b190*
    b262 + 8514*b190*b263 + 19206*b190*b264 + 6534*b190*b265 + 6930*b190*b266
     + 8190*b190*b267 + 8010*b190*b268 + 7200*b190*b269 + 4050*b190*b270 + 2880
    *b190*b271 + 4140*b190*b272 + 5310*b190*b274 + 1710*b190*b275 + 5220*b190*
    b276 + 720*b190*b277 + 270*b190*b279 + 1890*b190*b280 + 8100*b190*b281 + 
    4230*b190*b282 + 2250*b190*b283 + 2700*b190*b284 + 3870*b190*b285 + 8730*
    b190*b286 + 2970*b190*b287 + 3150*b190*b288 + 10192*b190*b289 + 9968*b190*
    b290 + 8960*b190*b291 + 5040*b190*b292 + 3584*b190*b293 + 5152*b190*b294 + 
    6608*b190*b296 + 2128*b190*b297 + 6496*b190*b298 + 896*b190*b299 + 336*b190
    *b301 + 2352*b190*b302 + 10080*b190*b303 + 5264*b190*b304 + 2800*b190*b305
     + 3360*b190*b306 + 4816*b190*b307 + 10864*b190*b308 + 3696*b190*b309 + 
    3920*b190*b310 + 2730*b190*b311 + 2670*b190*b312 + 2400*b190*b313 + 1350*
    b190*b314 + 960*b190*b315 + 1380*b190*b316 + 1770*b190*b318 + 570*b190*b319
     + 1740*b190*b320 + 240*b190*b321 + 90*b190*b323 + 630*b190*b324 + 2700*
    b190*b325 + 1410*b190*b326 + 750*b190*b327 + 900*b190*b328 + 1290*b190*b329
     + 2910*b190*b330 + 990*b190*b331 + 1050*b190*b332 + 18018*b190*b333 + 
    17622*b190*b334 + 15840*b190*b335 + 8910*b190*b336 + 6336*b190*b337 + 9108*
    b190*b338 + 11682*b190*b340 + 3762*b190*b341 + 11484*b190*b342 + 1584*b190*
    b343 + 594*b190*b345 + 4158*b190*b346 + 17820*b190*b347 + 9306*b190*b348 + 
    4950*b190*b349 + 5940*b190*b350 + 8514*b190*b351 + 19206*b190*b352 + 6534*
    b190*b353 + 6930*b190*b354 + 11648*b190*b355 + 11392*b190*b356 + 10240*b190
    *b357 + 5760*b190*b358 + 4096*b190*b359 + 5888*b190*b360 + 7552*b190*b362
     + 2432*b190*b363 + 7424*b190*b364 + 1024*b190*b365 + 384*b190*b367 + 2688*
    b190*b368 + 11520*b190*b369 + 6016*b190*b370 + 3200*b190*b371 + 3840*b190*
    b372 + 5504*b190*b373 + 12416*b190*b374 + 4224*b190*b375 + 4480*b190*b376
     + 10374*b190*b377 + 10146*b190*b378 + 9120*b190*b379 + 5130*b190*b380 + 
    3648*b190*b381 + 5244*b190*b382 + 6726*b190*b384 + 2166*b190*b385 + 6612*
    b190*b386 + 912*b190*b387 + 342*b190*b389 + 2394*b190*b390 + 10260*b190*
    b391 + 5358*b190*b392 + 2850*b190*b393 + 3420*b190*b394 + 4902*b190*b395 + 
    11058*b190*b396 + 3762*b190*b397 + 3990*b190*b398 + 15288*b190*b399 + 14952
    *b190*b400 + 13440*b190*b401 + 7560*b190*b402 + 5376*b190*b403 + 7728*b190*
    b404 + 9912*b190*b406 + 3192*b190*b407 + 9744*b190*b408 + 1344*b190*b409 + 
    504*b190*b411 + 3528*b190*b412 + 15120*b190*b413 + 7896*b190*b414 + 4200*
    b190*b415 + 5040*b190*b416 + 7224*b190*b417 + 16296*b190*b418 + 5544*b190*
    b419 + 5880*b190*b420 + 15106*b190*b421 + 14774*b190*b422 + 13280*b190*b423
     + 7470*b190*b424 + 5312*b190*b425 + 7636*b190*b426 + 9794*b190*b428 + 3154
    *b190*b429 + 9628*b190*b430 + 1328*b190*b431 + 498*b190*b433 + 3486*b190*
    b434 + 14940*b190*b435 + 7802*b190*b436 + 4150*b190*b437 + 4980*b190*b438
     + 7138*b190*b439 + 16102*b190*b440 + 5478*b190*b441 + 5810*b190*b442 + 
    11102*b190*b443 + 10858*b190*b444 + 9760*b190*b445 + 5490*b190*b446 + 3904*
    b190*b447 + 5612*b190*b448 + 7198*b190*b450 + 2318*b190*b451 + 7076*b190*
    b452 + 976*b190*b453 + 366*b190*b455 + 2562*b190*b456 + 10980*b190*b457 + 
    5734*b190*b458 + 3050*b190*b459 + 3660*b190*b460 + 5246*b190*b461 + 11834*
    b190*b462 + 4026*b190*b463 + 4270*b190*b464 + 4550*b190*b465 + 4450*b190*
    b466 + 4000*b190*b467 + 2250*b190*b468 + 1600*b190*b469 + 2300*b190*b470 + 
    2950*b190*b472 + 950*b190*b473 + 2900*b190*b474 + 400*b190*b475 + 150*b190*
    b477 + 1050*b190*b478 + 4500*b190*b479 + 2350*b190*b480 + 1250*b190*b481 + 
    1500*b190*b482 + 2150*b190*b483 + 4850*b190*b484 + 1650*b190*b485 + 1750*
    b190*b486 + 7462*b190*b487 + 7298*b190*b488 + 6560*b190*b489 + 3690*b190*
    b490 + 2624*b190*b491 + 3772*b190*b492 + 4838*b190*b494 + 1558*b190*b495 + 
    4756*b190*b496 + 656*b190*b497 + 246*b190*b499 + 1722*b190*b500 + 7380*b190
    *b501 + 3854*b190*b502 + 2050*b190*b503 + 2460*b190*b504 + 3526*b190*b505
     + 7954*b190*b506 + 2706*b190*b507 + 2870*b190*b508 + 1456*b190*b509 + 1424
    *b190*b510 + 1280*b190*b511 + 720*b190*b512 + 512*b190*b513 + 736*b190*b514
     + 944*b190*b516 + 304*b190*b517 + 928*b190*b518 + 128*b190*b519 + 48*b190*
    b521 + 336*b190*b522 + 1440*b190*b523 + 752*b190*b524 + 400*b190*b525 + 480
    *b190*b526 + 688*b190*b527 + 1552*b190*b528 + 528*b190*b529 + 560*b190*b530
     + 1056*b190*b531 + 1080*b190*b532 + 1464*b190*b533 + 3520*b190*b534 + 3600
    *b190*b535 + 4880*b190*b536 + 88*b190*b537 + 90*b190*b538 + 122*b190*b539
     + 264*b190*b540 + 270*b190*b541 + 366*b190*b542 + 5104*b190*b543 + 5220*
    b190*b544 + 7076*b190*b545 + 88*b190*b546 + 90*b190*b547 + 122*b190*b548 + 
    3784*b190*b549 + 3870*b190*b550 + 5246*b190*b551 + 1760*b190*b555 + 1800*
    b190*b556 + 2440*b190*b557 + 7128*b190*b558 + 7290*b190*b559 + 9882*b190*
    b560 + 8712*b190*b561 + 8910*b190*b562 + 12078*b190*b563 + 3960*b190*b564
     + 4050*b190*b565 + 5490*b190*b566 + 4928*b190*b567 + 5040*b190*b568 + 6832
    *b190*b569 + 1320*b190*b570 + 1350*b190*b571 + 1830*b190*b572 + 8712*b190*
    b573 + 8910*b190*b574 + 12078*b190*b575 + 5632*b190*b576 + 5760*b190*b577
     + 7808*b190*b578 + 5016*b190*b579 + 5130*b190*b580 + 6954*b190*b581 + 7392
    *b190*b582 + 7560*b190*b583 + 10248*b190*b584 + 7304*b190*b585 + 7470*b190*
    b586 + 10126*b190*b587 + 5368*b190*b588 + 5490*b190*b589 + 7442*b190*b590
     + 2200*b190*b591 + 2250*b190*b592 + 3050*b190*b593 + 3608*b190*b594 + 3690
    *b190*b595 + 5002*b190*b596 + 704*b190*b597 + 720*b190*b598 + 976*b190*b599
     + 14596*b190*b600 + 13120*b190*b601 + 7380*b190*b602 + 5248*b190*b603 + 
    7544*b190*b604 + 9676*b190*b606 + 3116*b190*b607 + 9512*b190*b608 + 1312*
    b190*b609 + 492*b190*b611 + 3444*b190*b612 + 14760*b190*b613 + 7380*b190*
    b614 + 7708*b190*b615 + 4100*b190*b616 + 4920*b190*b617 + 7052*b190*b618 + 
    15908*b190*b619 + 5412*b190*b620 + 5740*b190*b621 + 10004*b190*b622 + 14924
    *b190*b623 + 1848*b190*b624 + 1890*b190*b625 + 2562*b190*b626 + 2360*b191*
    b201 + 3040*b191*b202 + 2320*b191*b203 + 2600*b191*b204 + 3480*b191*b205 + 
    520*b191*b206 + 2480*b191*b207 + 1960*b191*b208 + 3400*b191*b209 + 680*b191
    *b210 + 2040*b191*b211 + 120*b191*b212 + 1680*b191*b214 + 1440*b191*b215 + 
    280*b191*b216 + 3360*b191*b217 + 240*b191*b218 + 1920*b191*b221 + 2480*b191
    *b222 + 9558*b191*b223 + 12312*b191*b224 + 9396*b191*b225 + 10530*b191*b226
     + 14094*b191*b227 + 2106*b191*b228 + 10044*b191*b229 + 7938*b191*b230 + 
    13770*b191*b231 + 2754*b191*b232 + 8262*b191*b233 + 486*b191*b234 + 6804*
    b191*b236 + 5832*b191*b237 + 1134*b191*b238 + 13608*b191*b239 + 972*b191*
    b240 + 7776*b191*b243 + 10044*b191*b244 + 11682*b191*b245 + 15048*b191*b246
     + 11484*b191*b247 + 12870*b191*b248 + 17226*b191*b249 + 2574*b191*b250 + 
    12276*b191*b251 + 9702*b191*b252 + 16830*b191*b253 + 3366*b191*b254 + 10098
    *b191*b255 + 594*b191*b256 + 8316*b191*b258 + 7128*b191*b259 + 1386*b191*
    b260 + 16632*b191*b261 + 1188*b191*b262 + 9504*b191*b265 + 12276*b191*b266
     + 5310*b191*b267 + 6840*b191*b268 + 5220*b191*b269 + 5850*b191*b270 + 7830
    *b191*b271 + 1170*b191*b272 + 5580*b191*b273 + 4410*b191*b274 + 7650*b191*
    b275 + 1530*b191*b276 + 4590*b191*b277 + 270*b191*b278 + 3780*b191*b280 + 
    3240*b191*b281 + 630*b191*b282 + 7560*b191*b283 + 540*b191*b284 + 4320*b191
    *b287 + 5580*b191*b288 + 6608*b191*b289 + 8512*b191*b290 + 6496*b191*b291
     + 7280*b191*b292 + 9744*b191*b293 + 1456*b191*b294 + 6944*b191*b295 + 5488
    *b191*b296 + 9520*b191*b297 + 1904*b191*b298 + 5712*b191*b299 + 336*b191*
    b300 + 4704*b191*b302 + 4032*b191*b303 + 784*b191*b304 + 9408*b191*b305 + 
    672*b191*b306 + 5376*b191*b309 + 6944*b191*b310 + 1770*b191*b311 + 2280*
    b191*b312 + 1740*b191*b313 + 1950*b191*b314 + 2610*b191*b315 + 390*b191*
    b316 + 1860*b191*b317 + 1470*b191*b318 + 2550*b191*b319 + 510*b191*b320 + 
    1530*b191*b321 + 90*b191*b322 + 1260*b191*b324 + 1080*b191*b325 + 210*b191*
    b326 + 2520*b191*b327 + 180*b191*b328 + 1440*b191*b331 + 1860*b191*b332 + 
    11682*b191*b333 + 15048*b191*b334 + 11484*b191*b335 + 12870*b191*b336 + 
    17226*b191*b337 + 2574*b191*b338 + 12276*b191*b339 + 9702*b191*b340 + 16830
    *b191*b341 + 3366*b191*b342 + 10098*b191*b343 + 594*b191*b344 + 8316*b191*
    b346 + 7128*b191*b347 + 1386*b191*b348 + 16632*b191*b349 + 1188*b191*b350
     + 9504*b191*b353 + 12276*b191*b354 + 7552*b191*b355 + 9728*b191*b356 + 
    7424*b191*b357 + 8320*b191*b358 + 11136*b191*b359 + 1664*b191*b360 + 7936*
    b191*b361 + 6272*b191*b362 + 10880*b191*b363 + 2176*b191*b364 + 6528*b191*
    b365 + 384*b191*b366 + 5376*b191*b368 + 4608*b191*b369 + 896*b191*b370 + 
    10752*b191*b371 + 768*b191*b372 + 6144*b191*b375 + 7936*b191*b376 + 6726*
    b191*b377 + 8664*b191*b378 + 6612*b191*b379 + 7410*b191*b380 + 9918*b191*
    b381 + 1482*b191*b382 + 7068*b191*b383 + 5586*b191*b384 + 9690*b191*b385 + 
    1938*b191*b386 + 5814*b191*b387 + 342*b191*b388 + 4788*b191*b390 + 4104*
    b191*b391 + 798*b191*b392 + 9576*b191*b393 + 684*b191*b394 + 5472*b191*b397
     + 7068*b191*b398 + 9912*b191*b399 + 12768*b191*b400 + 9744*b191*b401 + 
    10920*b191*b402 + 14616*b191*b403 + 2184*b191*b404 + 10416*b191*b405 + 8232
    *b191*b406 + 14280*b191*b407 + 2856*b191*b408 + 8568*b191*b409 + 504*b191*
    b410 + 7056*b191*b412 + 6048*b191*b413 + 1176*b191*b414 + 14112*b191*b415
     + 1008*b191*b416 + 8064*b191*b419 + 10416*b191*b420 + 9794*b191*b421 + 
    12616*b191*b422 + 9628*b191*b423 + 10790*b191*b424 + 14442*b191*b425 + 2158
    *b191*b426 + 10292*b191*b427 + 8134*b191*b428 + 14110*b191*b429 + 2822*b191
    *b430 + 8466*b191*b431 + 498*b191*b432 + 6972*b191*b434 + 5976*b191*b435 + 
    1162*b191*b436 + 13944*b191*b437 + 996*b191*b438 + 7968*b191*b441 + 10292*
    b191*b442 + 7198*b191*b443 + 9272*b191*b444 + 7076*b191*b445 + 7930*b191*
    b446 + 10614*b191*b447 + 1586*b191*b448 + 7564*b191*b449 + 5978*b191*b450
     + 10370*b191*b451 + 2074*b191*b452 + 6222*b191*b453 + 366*b191*b454 + 5124
    *b191*b456 + 4392*b191*b457 + 854*b191*b458 + 10248*b191*b459 + 732*b191*
    b460 + 5856*b191*b463 + 7564*b191*b464 + 2950*b191*b465 + 3800*b191*b466 + 
    2900*b191*b467 + 3250*b191*b468 + 4350*b191*b469 + 650*b191*b470 + 3100*
    b191*b471 + 2450*b191*b472 + 4250*b191*b473 + 850*b191*b474 + 2550*b191*
    b475 + 150*b191*b476 + 2100*b191*b478 + 1800*b191*b479 + 350*b191*b480 + 
    4200*b191*b481 + 300*b191*b482 + 2400*b191*b485 + 3100*b191*b486 + 4838*
    b191*b487 + 6232*b191*b488 + 4756*b191*b489 + 5330*b191*b490 + 7134*b191*
    b491 + 1066*b191*b492 + 5084*b191*b493 + 4018*b191*b494 + 6970*b191*b495 + 
    1394*b191*b496 + 4182*b191*b497 + 246*b191*b498 + 3444*b191*b500 + 2952*
    b191*b501 + 574*b191*b502 + 6888*b191*b503 + 492*b191*b504 + 3936*b191*b507
     + 5084*b191*b508 + 944*b191*b509 + 1216*b191*b510 + 928*b191*b511 + 1040*
    b191*b512 + 1392*b191*b513 + 208*b191*b514 + 992*b191*b515 + 784*b191*b516
     + 1360*b191*b517 + 272*b191*b518 + 816*b191*b519 + 48*b191*b520 + 672*b191
    *b522 + 576*b191*b523 + 112*b191*b524 + 1344*b191*b525 + 96*b191*b526 + 768
    *b191*b529 + 992*b191*b530 + 960*b191*b531 + 1032*b191*b532 + 1416*b191*
    b533 + 3200*b191*b534 + 3440*b191*b535 + 4720*b191*b536 + 80*b191*b537 + 86
    *b191*b538 + 118*b191*b539 + 240*b191*b540 + 258*b191*b541 + 354*b191*b542
     + 4640*b191*b543 + 4988*b191*b544 + 6844*b191*b545 + 80*b191*b546 + 86*
    b191*b547 + 118*b191*b548 + 3440*b191*b549 + 3698*b191*b550 + 5074*b191*
    b551 + 1600*b191*b555 + 1720*b191*b556 + 2360*b191*b557 + 6480*b191*b558 + 
    6966*b191*b559 + 9558*b191*b560 + 7920*b191*b561 + 8514*b191*b562 + 11682*
    b191*b563 + 3600*b191*b564 + 3870*b191*b565 + 5310*b191*b566 + 4480*b191*
    b567 + 4816*b191*b568 + 6608*b191*b569 + 1200*b191*b570 + 1290*b191*b571 + 
    1770*b191*b572 + 7920*b191*b573 + 8514*b191*b574 + 11682*b191*b575 + 5120*
    b191*b576 + 5504*b191*b577 + 7552*b191*b578 + 4560*b191*b579 + 4902*b191*
    b580 + 6726*b191*b581 + 6720*b191*b582 + 7224*b191*b583 + 9912*b191*b584 + 
    6640*b191*b585 + 7138*b191*b586 + 9794*b191*b587 + 4880*b191*b588 + 5246*
    b191*b589 + 7198*b191*b590 + 2000*b191*b591 + 2150*b191*b592 + 2950*b191*
    b593 + 3280*b191*b594 + 3526*b191*b595 + 4838*b191*b596 + 640*b191*b597 + 
    688*b191*b598 + 944*b191*b599 + 12464*b191*b600 + 9512*b191*b601 + 10660*
    b191*b602 + 14268*b191*b603 + 2132*b191*b604 + 10168*b191*b605 + 8036*b191*
    b606 + 13940*b191*b607 + 2788*b191*b608 + 8364*b191*b609 + 492*b191*b610 + 
    6888*b191*b612 + 5904*b191*b613 + 7052*b191*b614 + 1148*b191*b615 + 13776*
    b191*b616 + 984*b191*b617 + 7872*b191*b620 + 10168*b191*b621 + 9676*b191*
    b622 + 9676*b191*b623 + 1680*b191*b624 + 1806*b191*b625 + 2478*b191*b626 + 
    720*b192*b201 + 3040*b192*b202 + 840*b192*b203 + 1600*b192*b204 + 2680*b192
    *b205 + 800*b192*b206 + 1640*b192*b207 + 3400*b192*b208 + 2080*b192*b209 + 
    2720*b192*b210 + 40*b192*b211 + 840*b192*b212 + 1680*b192*b213 + 1160*b192*
    b215 + 3280*b192*b216 + 1160*b192*b217 + 120*b192*b218 + 120*b192*b219 + 
    2040*b192*b220 + 2680*b192*b221 + 1560*b192*b222 + 2916*b192*b223 + 12312*
    b192*b224 + 3402*b192*b225 + 6480*b192*b226 + 10854*b192*b227 + 3240*b192*
    b228 + 6642*b192*b229 + 13770*b192*b230 + 8424*b192*b231 + 11016*b192*b232
     + 162*b192*b233 + 3402*b192*b234 + 6804*b192*b235 + 4698*b192*b237 + 13284
    *b192*b238 + 4698*b192*b239 + 486*b192*b240 + 486*b192*b241 + 8262*b192*
    b242 + 10854*b192*b243 + 6318*b192*b244 + 3564*b192*b245 + 15048*b192*b246
     + 4158*b192*b247 + 7920*b192*b248 + 13266*b192*b249 + 3960*b192*b250 + 
    8118*b192*b251 + 16830*b192*b252 + 10296*b192*b253 + 13464*b192*b254 + 198*
    b192*b255 + 4158*b192*b256 + 8316*b192*b257 + 5742*b192*b259 + 16236*b192*
    b260 + 5742*b192*b261 + 594*b192*b262 + 594*b192*b263 + 10098*b192*b264 + 
    13266*b192*b265 + 7722*b192*b266 + 1620*b192*b267 + 6840*b192*b268 + 1890*
    b192*b269 + 3600*b192*b270 + 6030*b192*b271 + 1800*b192*b272 + 3690*b192*
    b273 + 7650*b192*b274 + 4680*b192*b275 + 6120*b192*b276 + 90*b192*b277 + 
    1890*b192*b278 + 3780*b192*b279 + 2610*b192*b281 + 7380*b192*b282 + 2610*
    b192*b283 + 270*b192*b284 + 270*b192*b285 + 4590*b192*b286 + 6030*b192*b287
     + 3510*b192*b288 + 2016*b192*b289 + 8512*b192*b290 + 2352*b192*b291 + 4480
    *b192*b292 + 7504*b192*b293 + 2240*b192*b294 + 4592*b192*b295 + 9520*b192*
    b296 + 5824*b192*b297 + 7616*b192*b298 + 112*b192*b299 + 2352*b192*b300 + 
    4704*b192*b301 + 3248*b192*b303 + 9184*b192*b304 + 3248*b192*b305 + 336*
    b192*b306 + 336*b192*b307 + 5712*b192*b308 + 7504*b192*b309 + 4368*b192*
    b310 + 540*b192*b311 + 2280*b192*b312 + 630*b192*b313 + 1200*b192*b314 + 
    2010*b192*b315 + 600*b192*b316 + 1230*b192*b317 + 2550*b192*b318 + 1560*
    b192*b319 + 2040*b192*b320 + 30*b192*b321 + 630*b192*b322 + 1260*b192*b323
     + 870*b192*b325 + 2460*b192*b326 + 870*b192*b327 + 90*b192*b328 + 90*b192*
    b329 + 1530*b192*b330 + 2010*b192*b331 + 1170*b192*b332 + 3564*b192*b333 + 
    15048*b192*b334 + 4158*b192*b335 + 7920*b192*b336 + 13266*b192*b337 + 3960*
    b192*b338 + 8118*b192*b339 + 16830*b192*b340 + 10296*b192*b341 + 13464*b192
    *b342 + 198*b192*b343 + 4158*b192*b344 + 8316*b192*b345 + 5742*b192*b347 + 
    16236*b192*b348 + 5742*b192*b349 + 594*b192*b350 + 594*b192*b351 + 10098*
    b192*b352 + 13266*b192*b353 + 7722*b192*b354 + 2304*b192*b355 + 9728*b192*
    b356 + 2688*b192*b357 + 5120*b192*b358 + 8576*b192*b359 + 2560*b192*b360 + 
    5248*b192*b361 + 10880*b192*b362 + 6656*b192*b363 + 8704*b192*b364 + 128*
    b192*b365 + 2688*b192*b366 + 5376*b192*b367 + 3712*b192*b369 + 10496*b192*
    b370 + 3712*b192*b371 + 384*b192*b372 + 384*b192*b373 + 6528*b192*b374 + 
    8576*b192*b375 + 4992*b192*b376 + 2052*b192*b377 + 8664*b192*b378 + 2394*
    b192*b379 + 4560*b192*b380 + 7638*b192*b381 + 2280*b192*b382 + 4674*b192*
    b383 + 9690*b192*b384 + 5928*b192*b385 + 7752*b192*b386 + 114*b192*b387 + 
    2394*b192*b388 + 4788*b192*b389 + 3306*b192*b391 + 9348*b192*b392 + 3306*
    b192*b393 + 342*b192*b394 + 342*b192*b395 + 5814*b192*b396 + 7638*b192*b397
     + 4446*b192*b398 + 3024*b192*b399 + 12768*b192*b400 + 3528*b192*b401 + 
    6720*b192*b402 + 11256*b192*b403 + 3360*b192*b404 + 6888*b192*b405 + 14280*
    b192*b406 + 8736*b192*b407 + 11424*b192*b408 + 168*b192*b409 + 3528*b192*
    b410 + 7056*b192*b411 + 4872*b192*b413 + 13776*b192*b414 + 4872*b192*b415
     + 504*b192*b416 + 504*b192*b417 + 8568*b192*b418 + 11256*b192*b419 + 6552*
    b192*b420 + 2988*b192*b421 + 12616*b192*b422 + 3486*b192*b423 + 6640*b192*
    b424 + 11122*b192*b425 + 3320*b192*b426 + 6806*b192*b427 + 14110*b192*b428
     + 8632*b192*b429 + 11288*b192*b430 + 166*b192*b431 + 3486*b192*b432 + 6972
    *b192*b433 + 4814*b192*b435 + 13612*b192*b436 + 4814*b192*b437 + 498*b192*
    b438 + 498*b192*b439 + 8466*b192*b440 + 11122*b192*b441 + 6474*b192*b442 + 
    2196*b192*b443 + 9272*b192*b444 + 2562*b192*b445 + 4880*b192*b446 + 8174*
    b192*b447 + 2440*b192*b448 + 5002*b192*b449 + 10370*b192*b450 + 6344*b192*
    b451 + 8296*b192*b452 + 122*b192*b453 + 2562*b192*b454 + 5124*b192*b455 + 
    3538*b192*b457 + 10004*b192*b458 + 3538*b192*b459 + 366*b192*b460 + 366*
    b192*b461 + 6222*b192*b462 + 8174*b192*b463 + 4758*b192*b464 + 900*b192*
    b465 + 3800*b192*b466 + 1050*b192*b467 + 2000*b192*b468 + 3350*b192*b469 + 
    1000*b192*b470 + 2050*b192*b471 + 4250*b192*b472 + 2600*b192*b473 + 3400*
    b192*b474 + 50*b192*b475 + 1050*b192*b476 + 2100*b192*b477 + 1450*b192*b479
     + 4100*b192*b480 + 1450*b192*b481 + 150*b192*b482 + 150*b192*b483 + 2550*
    b192*b484 + 3350*b192*b485 + 1950*b192*b486 + 1476*b192*b487 + 6232*b192*
    b488 + 1722*b192*b489 + 3280*b192*b490 + 5494*b192*b491 + 1640*b192*b492 + 
    3362*b192*b493 + 6970*b192*b494 + 4264*b192*b495 + 5576*b192*b496 + 82*b192
    *b497 + 1722*b192*b498 + 3444*b192*b499 + 2378*b192*b501 + 6724*b192*b502
     + 2378*b192*b503 + 246*b192*b504 + 246*b192*b505 + 4182*b192*b506 + 5494*
    b192*b507 + 3198*b192*b508 + 288*b192*b509 + 1216*b192*b510 + 336*b192*b511
     + 640*b192*b512 + 1072*b192*b513 + 320*b192*b514 + 656*b192*b515 + 1360*
    b192*b516 + 832*b192*b517 + 1088*b192*b518 + 16*b192*b519 + 336*b192*b520
     + 672*b192*b521 + 464*b192*b523 + 1312*b192*b524 + 464*b192*b525 + 48*b192
    *b526 + 48*b192*b527 + 816*b192*b528 + 1072*b192*b529 + 624*b192*b530 + 
    1800*b192*b531 + 2256*b192*b532 + 360*b192*b533 + 6000*b192*b534 + 7520*
    b192*b535 + 1200*b192*b536 + 150*b192*b537 + 188*b192*b538 + 30*b192*b539
     + 450*b192*b540 + 564*b192*b541 + 90*b192*b542 + 8700*b192*b543 + 10904*
    b192*b544 + 1740*b192*b545 + 150*b192*b546 + 188*b192*b547 + 30*b192*b548
     + 6450*b192*b549 + 8084*b192*b550 + 1290*b192*b551 + 3000*b192*b555 + 3760
    *b192*b556 + 600*b192*b557 + 12150*b192*b558 + 15228*b192*b559 + 2430*b192*
    b560 + 14850*b192*b561 + 18612*b192*b562 + 2970*b192*b563 + 6750*b192*b564
     + 8460*b192*b565 + 1350*b192*b566 + 8400*b192*b567 + 10528*b192*b568 + 
    1680*b192*b569 + 2250*b192*b570 + 2820*b192*b571 + 450*b192*b572 + 14850*
    b192*b573 + 18612*b192*b574 + 2970*b192*b575 + 9600*b192*b576 + 12032*b192*
    b577 + 1920*b192*b578 + 8550*b192*b579 + 10716*b192*b580 + 1710*b192*b581
     + 12600*b192*b582 + 15792*b192*b583 + 2520*b192*b584 + 12450*b192*b585 + 
    15604*b192*b586 + 2490*b192*b587 + 9150*b192*b588 + 11468*b192*b589 + 1830*
    b192*b590 + 3750*b192*b591 + 4700*b192*b592 + 750*b192*b593 + 6150*b192*
    b594 + 7708*b192*b595 + 1230*b192*b596 + 1200*b192*b597 + 1504*b192*b598 + 
    240*b192*b599 + 12464*b192*b600 + 3444*b192*b601 + 6560*b192*b602 + 10988*
    b192*b603 + 3280*b192*b604 + 6724*b192*b605 + 13940*b192*b606 + 8528*b192*
    b607 + 11152*b192*b608 + 164*b192*b609 + 3444*b192*b610 + 6888*b192*b611 + 
    4756*b192*b613 + 15416*b192*b614 + 13448*b192*b615 + 4756*b192*b616 + 492*
    b192*b617 + 492*b192*b618 + 8364*b192*b619 + 10988*b192*b620 + 6396*b192*
    b621 + 2460*b192*b622 + 2952*b192*b623 + 3150*b192*b624 + 3948*b192*b625 + 
    630*b192*b626 + 3040*b193*b201 + 1600*b193*b202 + 3040*b193*b203 + 2160*
    b193*b204 + 3760*b193*b205 + 3440*b193*b206 + 2480*b193*b207 + 3360*b193*
    b208 + 1360*b193*b209 + 1080*b193*b210 + 3640*b193*b211 + 3600*b193*b212 + 
    1440*b193*b213 + 1160*b193*b214 + 1680*b193*b216 + 920*b193*b217 + 2480*
    b193*b218 + 2480*b193*b219 + 1120*b193*b220 + 3040*b193*b221 + 2640*b193*
    b222 + 12312*b193*b223 + 6480*b193*b224 + 12312*b193*b225 + 8748*b193*b226
     + 15228*b193*b227 + 13932*b193*b228 + 10044*b193*b229 + 13608*b193*b230 + 
    5508*b193*b231 + 4374*b193*b232 + 14742*b193*b233 + 14580*b193*b234 + 5832*
    b193*b235 + 4698*b193*b236 + 6804*b193*b238 + 3726*b193*b239 + 10044*b193*
    b240 + 10044*b193*b241 + 4536*b193*b242 + 12312*b193*b243 + 10692*b193*b244
     + 15048*b193*b245 + 7920*b193*b246 + 15048*b193*b247 + 10692*b193*b248 + 
    18612*b193*b249 + 17028*b193*b250 + 12276*b193*b251 + 16632*b193*b252 + 
    6732*b193*b253 + 5346*b193*b254 + 18018*b193*b255 + 17820*b193*b256 + 7128*
    b193*b257 + 5742*b193*b258 + 8316*b193*b260 + 4554*b193*b261 + 12276*b193*
    b262 + 12276*b193*b263 + 5544*b193*b264 + 15048*b193*b265 + 13068*b193*b266
     + 6840*b193*b267 + 3600*b193*b268 + 6840*b193*b269 + 4860*b193*b270 + 8460
    *b193*b271 + 7740*b193*b272 + 5580*b193*b273 + 7560*b193*b274 + 3060*b193*
    b275 + 2430*b193*b276 + 8190*b193*b277 + 8100*b193*b278 + 3240*b193*b279 + 
    2610*b193*b280 + 3780*b193*b282 + 2070*b193*b283 + 5580*b193*b284 + 5580*
    b193*b285 + 2520*b193*b286 + 6840*b193*b287 + 5940*b193*b288 + 8512*b193*
    b289 + 4480*b193*b290 + 8512*b193*b291 + 6048*b193*b292 + 10528*b193*b293
     + 9632*b193*b294 + 6944*b193*b295 + 9408*b193*b296 + 3808*b193*b297 + 3024
    *b193*b298 + 10192*b193*b299 + 10080*b193*b300 + 4032*b193*b301 + 3248*b193
    *b302 + 4704*b193*b304 + 2576*b193*b305 + 6944*b193*b306 + 6944*b193*b307
     + 3136*b193*b308 + 8512*b193*b309 + 7392*b193*b310 + 2280*b193*b311 + 1200
    *b193*b312 + 2280*b193*b313 + 1620*b193*b314 + 2820*b193*b315 + 2580*b193*
    b316 + 1860*b193*b317 + 2520*b193*b318 + 1020*b193*b319 + 810*b193*b320 + 
    2730*b193*b321 + 2700*b193*b322 + 1080*b193*b323 + 870*b193*b324 + 1260*
    b193*b326 + 690*b193*b327 + 1860*b193*b328 + 1860*b193*b329 + 840*b193*b330
     + 2280*b193*b331 + 1980*b193*b332 + 15048*b193*b333 + 7920*b193*b334 + 
    15048*b193*b335 + 10692*b193*b336 + 18612*b193*b337 + 17028*b193*b338 + 
    12276*b193*b339 + 16632*b193*b340 + 6732*b193*b341 + 5346*b193*b342 + 18018
    *b193*b343 + 17820*b193*b344 + 7128*b193*b345 + 5742*b193*b346 + 8316*b193*
    b348 + 4554*b193*b349 + 12276*b193*b350 + 12276*b193*b351 + 5544*b193*b352
     + 15048*b193*b353 + 13068*b193*b354 + 9728*b193*b355 + 5120*b193*b356 + 
    9728*b193*b357 + 6912*b193*b358 + 12032*b193*b359 + 11008*b193*b360 + 7936*
    b193*b361 + 10752*b193*b362 + 4352*b193*b363 + 3456*b193*b364 + 11648*b193*
    b365 + 11520*b193*b366 + 4608*b193*b367 + 3712*b193*b368 + 5376*b193*b370
     + 2944*b193*b371 + 7936*b193*b372 + 7936*b193*b373 + 3584*b193*b374 + 9728
    *b193*b375 + 8448*b193*b376 + 8664*b193*b377 + 4560*b193*b378 + 8664*b193*
    b379 + 6156*b193*b380 + 10716*b193*b381 + 9804*b193*b382 + 7068*b193*b383
     + 9576*b193*b384 + 3876*b193*b385 + 3078*b193*b386 + 10374*b193*b387 + 
    10260*b193*b388 + 4104*b193*b389 + 3306*b193*b390 + 4788*b193*b392 + 2622*
    b193*b393 + 7068*b193*b394 + 7068*b193*b395 + 3192*b193*b396 + 8664*b193*
    b397 + 7524*b193*b398 + 12768*b193*b399 + 6720*b193*b400 + 12768*b193*b401
     + 9072*b193*b402 + 15792*b193*b403 + 14448*b193*b404 + 10416*b193*b405 + 
    14112*b193*b406 + 5712*b193*b407 + 4536*b193*b408 + 15288*b193*b409 + 15120
    *b193*b410 + 6048*b193*b411 + 4872*b193*b412 + 7056*b193*b414 + 3864*b193*
    b415 + 10416*b193*b416 + 10416*b193*b417 + 4704*b193*b418 + 12768*b193*b419
     + 11088*b193*b420 + 12616*b193*b421 + 6640*b193*b422 + 12616*b193*b423 + 
    8964*b193*b424 + 15604*b193*b425 + 14276*b193*b426 + 10292*b193*b427 + 
    13944*b193*b428 + 5644*b193*b429 + 4482*b193*b430 + 15106*b193*b431 + 14940
    *b193*b432 + 5976*b193*b433 + 4814*b193*b434 + 6972*b193*b436 + 3818*b193*
    b437 + 10292*b193*b438 + 10292*b193*b439 + 4648*b193*b440 + 12616*b193*b441
     + 10956*b193*b442 + 9272*b193*b443 + 4880*b193*b444 + 9272*b193*b445 + 
    6588*b193*b446 + 11468*b193*b447 + 10492*b193*b448 + 7564*b193*b449 + 10248
    *b193*b450 + 4148*b193*b451 + 3294*b193*b452 + 11102*b193*b453 + 10980*b193
    *b454 + 4392*b193*b455 + 3538*b193*b456 + 5124*b193*b458 + 2806*b193*b459
     + 7564*b193*b460 + 7564*b193*b461 + 3416*b193*b462 + 9272*b193*b463 + 8052
    *b193*b464 + 3800*b193*b465 + 2000*b193*b466 + 3800*b193*b467 + 2700*b193*
    b468 + 4700*b193*b469 + 4300*b193*b470 + 3100*b193*b471 + 4200*b193*b472 + 
    1700*b193*b473 + 1350*b193*b474 + 4550*b193*b475 + 4500*b193*b476 + 1800*
    b193*b477 + 1450*b193*b478 + 2100*b193*b480 + 1150*b193*b481 + 3100*b193*
    b482 + 3100*b193*b483 + 1400*b193*b484 + 3800*b193*b485 + 3300*b193*b486 + 
    6232*b193*b487 + 3280*b193*b488 + 6232*b193*b489 + 4428*b193*b490 + 7708*
    b193*b491 + 7052*b193*b492 + 5084*b193*b493 + 6888*b193*b494 + 2788*b193*
    b495 + 2214*b193*b496 + 7462*b193*b497 + 7380*b193*b498 + 2952*b193*b499 + 
    2378*b193*b500 + 3444*b193*b502 + 1886*b193*b503 + 5084*b193*b504 + 5084*
    b193*b505 + 2296*b193*b506 + 6232*b193*b507 + 5412*b193*b508 + 1216*b193*
    b509 + 640*b193*b510 + 1216*b193*b511 + 864*b193*b512 + 1504*b193*b513 + 
    1376*b193*b514 + 992*b193*b515 + 1344*b193*b516 + 544*b193*b517 + 432*b193*
    b518 + 1456*b193*b519 + 1440*b193*b520 + 576*b193*b521 + 464*b193*b522 + 
    672*b193*b524 + 368*b193*b525 + 992*b193*b526 + 992*b193*b527 + 448*b193*
    b528 + 1216*b193*b529 + 1056*b193*b530 + 1896*b193*b531 + 1584*b193*b532 + 
    1968*b193*b533 + 6320*b193*b534 + 5280*b193*b535 + 6560*b193*b536 + 158*
    b193*b537 + 132*b193*b538 + 164*b193*b539 + 474*b193*b540 + 396*b193*b541
     + 492*b193*b542 + 9164*b193*b543 + 7656*b193*b544 + 9512*b193*b545 + 158*
    b193*b546 + 132*b193*b547 + 164*b193*b548 + 6794*b193*b549 + 5676*b193*b550
     + 7052*b193*b551 + 3160*b193*b555 + 2640*b193*b556 + 3280*b193*b557 + 
    12798*b193*b558 + 10692*b193*b559 + 13284*b193*b560 + 15642*b193*b561 + 
    13068*b193*b562 + 16236*b193*b563 + 7110*b193*b564 + 5940*b193*b565 + 7380*
    b193*b566 + 8848*b193*b567 + 7392*b193*b568 + 9184*b193*b569 + 2370*b193*
    b570 + 1980*b193*b571 + 2460*b193*b572 + 15642*b193*b573 + 13068*b193*b574
     + 16236*b193*b575 + 10112*b193*b576 + 8448*b193*b577 + 10496*b193*b578 + 
    9006*b193*b579 + 7524*b193*b580 + 9348*b193*b581 + 13272*b193*b582 + 11088*
    b193*b583 + 13776*b193*b584 + 13114*b193*b585 + 10956*b193*b586 + 13612*
    b193*b587 + 9638*b193*b588 + 8052*b193*b589 + 10004*b193*b590 + 3950*b193*
    b591 + 3300*b193*b592 + 4100*b193*b593 + 6478*b193*b594 + 5412*b193*b595 + 
    6724*b193*b596 + 1264*b193*b597 + 1056*b193*b598 + 1312*b193*b599 + 6560*
    b193*b600 + 12464*b193*b601 + 8856*b193*b602 + 15416*b193*b603 + 14104*b193
    *b604 + 10168*b193*b605 + 13776*b193*b606 + 5576*b193*b607 + 4428*b193*b608
     + 14924*b193*b609 + 14760*b193*b610 + 5904*b193*b611 + 4756*b193*b612 + 
    10824*b193*b614 + 6888*b193*b615 + 3772*b193*b616 + 10168*b193*b617 + 10168
    *b193*b618 + 4592*b193*b619 + 12464*b193*b620 + 10824*b193*b621 + 13448*
    b193*b622 + 12464*b193*b623 + 3318*b193*b624 + 2772*b193*b625 + 3444*b193*
    b626 + 720*b194*b201 + 2240*b194*b202 + 1760*b194*b203 + 560*b194*b204 + 80
    *b194*b205 + 3080*b194*b206 + 1000*b194*b207 + 1520*b194*b208 + 1600*b194*
    b209 + 240*b194*b210 + 3480*b194*b211 + 1880*b194*b212 + 280*b194*b213 + 
    3280*b194*b214 + 1680*b194*b215 + 3440*b194*b217 + 2400*b194*b218 + 2480*
    b194*b219 + 2480*b194*b220 + 3320*b194*b221 + 3640*b194*b222 + 2916*b194*
    b223 + 9072*b194*b224 + 7128*b194*b225 + 2268*b194*b226 + 324*b194*b227 + 
    12474*b194*b228 + 4050*b194*b229 + 6156*b194*b230 + 6480*b194*b231 + 972*
    b194*b232 + 14094*b194*b233 + 7614*b194*b234 + 1134*b194*b235 + 13284*b194*
    b236 + 6804*b194*b237 + 13932*b194*b239 + 9720*b194*b240 + 10044*b194*b241
     + 10044*b194*b242 + 13446*b194*b243 + 14742*b194*b244 + 3564*b194*b245 + 
    11088*b194*b246 + 8712*b194*b247 + 2772*b194*b248 + 396*b194*b249 + 15246*
    b194*b250 + 4950*b194*b251 + 7524*b194*b252 + 7920*b194*b253 + 1188*b194*
    b254 + 17226*b194*b255 + 9306*b194*b256 + 1386*b194*b257 + 16236*b194*b258
     + 8316*b194*b259 + 17028*b194*b261 + 11880*b194*b262 + 12276*b194*b263 + 
    12276*b194*b264 + 16434*b194*b265 + 18018*b194*b266 + 1620*b194*b267 + 5040
    *b194*b268 + 3960*b194*b269 + 1260*b194*b270 + 180*b194*b271 + 6930*b194*
    b272 + 2250*b194*b273 + 3420*b194*b274 + 3600*b194*b275 + 540*b194*b276 + 
    7830*b194*b277 + 4230*b194*b278 + 630*b194*b279 + 7380*b194*b280 + 3780*
    b194*b281 + 7740*b194*b283 + 5400*b194*b284 + 5580*b194*b285 + 5580*b194*
    b286 + 7470*b194*b287 + 8190*b194*b288 + 2016*b194*b289 + 6272*b194*b290 + 
    4928*b194*b291 + 1568*b194*b292 + 224*b194*b293 + 8624*b194*b294 + 2800*
    b194*b295 + 4256*b194*b296 + 4480*b194*b297 + 672*b194*b298 + 9744*b194*
    b299 + 5264*b194*b300 + 784*b194*b301 + 9184*b194*b302 + 4704*b194*b303 + 
    9632*b194*b305 + 6720*b194*b306 + 6944*b194*b307 + 6944*b194*b308 + 9296*
    b194*b309 + 10192*b194*b310 + 540*b194*b311 + 1680*b194*b312 + 1320*b194*
    b313 + 420*b194*b314 + 60*b194*b315 + 2310*b194*b316 + 750*b194*b317 + 1140
    *b194*b318 + 1200*b194*b319 + 180*b194*b320 + 2610*b194*b321 + 1410*b194*
    b322 + 210*b194*b323 + 2460*b194*b324 + 1260*b194*b325 + 2580*b194*b327 + 
    1800*b194*b328 + 1860*b194*b329 + 1860*b194*b330 + 2490*b194*b331 + 2730*
    b194*b332 + 3564*b194*b333 + 11088*b194*b334 + 8712*b194*b335 + 2772*b194*
    b336 + 396*b194*b337 + 15246*b194*b338 + 4950*b194*b339 + 7524*b194*b340 + 
    7920*b194*b341 + 1188*b194*b342 + 17226*b194*b343 + 9306*b194*b344 + 1386*
    b194*b345 + 16236*b194*b346 + 8316*b194*b347 + 17028*b194*b349 + 11880*b194
    *b350 + 12276*b194*b351 + 12276*b194*b352 + 16434*b194*b353 + 18018*b194*
    b354 + 2304*b194*b355 + 7168*b194*b356 + 5632*b194*b357 + 1792*b194*b358 + 
    256*b194*b359 + 9856*b194*b360 + 3200*b194*b361 + 4864*b194*b362 + 5120*
    b194*b363 + 768*b194*b364 + 11136*b194*b365 + 6016*b194*b366 + 896*b194*
    b367 + 10496*b194*b368 + 5376*b194*b369 + 11008*b194*b371 + 7680*b194*b372
     + 7936*b194*b373 + 7936*b194*b374 + 10624*b194*b375 + 11648*b194*b376 + 
    2052*b194*b377 + 6384*b194*b378 + 5016*b194*b379 + 1596*b194*b380 + 228*
    b194*b381 + 8778*b194*b382 + 2850*b194*b383 + 4332*b194*b384 + 4560*b194*
    b385 + 684*b194*b386 + 9918*b194*b387 + 5358*b194*b388 + 798*b194*b389 + 
    9348*b194*b390 + 4788*b194*b391 + 9804*b194*b393 + 6840*b194*b394 + 7068*
    b194*b395 + 7068*b194*b396 + 9462*b194*b397 + 10374*b194*b398 + 3024*b194*
    b399 + 9408*b194*b400 + 7392*b194*b401 + 2352*b194*b402 + 336*b194*b403 + 
    12936*b194*b404 + 4200*b194*b405 + 6384*b194*b406 + 6720*b194*b407 + 1008*
    b194*b408 + 14616*b194*b409 + 7896*b194*b410 + 1176*b194*b411 + 13776*b194*
    b412 + 7056*b194*b413 + 14448*b194*b415 + 10080*b194*b416 + 10416*b194*b417
     + 10416*b194*b418 + 13944*b194*b419 + 15288*b194*b420 + 2988*b194*b421 + 
    9296*b194*b422 + 7304*b194*b423 + 2324*b194*b424 + 332*b194*b425 + 12782*
    b194*b426 + 4150*b194*b427 + 6308*b194*b428 + 6640*b194*b429 + 996*b194*
    b430 + 14442*b194*b431 + 7802*b194*b432 + 1162*b194*b433 + 13612*b194*b434
     + 6972*b194*b435 + 14276*b194*b437 + 9960*b194*b438 + 10292*b194*b439 + 
    10292*b194*b440 + 13778*b194*b441 + 15106*b194*b442 + 2196*b194*b443 + 6832
    *b194*b444 + 5368*b194*b445 + 1708*b194*b446 + 244*b194*b447 + 9394*b194*
    b448 + 3050*b194*b449 + 4636*b194*b450 + 4880*b194*b451 + 732*b194*b452 + 
    10614*b194*b453 + 5734*b194*b454 + 854*b194*b455 + 10004*b194*b456 + 5124*
    b194*b457 + 10492*b194*b459 + 7320*b194*b460 + 7564*b194*b461 + 7564*b194*
    b462 + 10126*b194*b463 + 11102*b194*b464 + 900*b194*b465 + 2800*b194*b466
     + 2200*b194*b467 + 700*b194*b468 + 100*b194*b469 + 3850*b194*b470 + 1250*
    b194*b471 + 1900*b194*b472 + 2000*b194*b473 + 300*b194*b474 + 4350*b194*
    b475 + 2350*b194*b476 + 350*b194*b477 + 4100*b194*b478 + 2100*b194*b479 + 
    4300*b194*b481 + 3000*b194*b482 + 3100*b194*b483 + 3100*b194*b484 + 4150*
    b194*b485 + 4550*b194*b486 + 1476*b194*b487 + 4592*b194*b488 + 3608*b194*
    b489 + 1148*b194*b490 + 164*b194*b491 + 6314*b194*b492 + 2050*b194*b493 + 
    3116*b194*b494 + 3280*b194*b495 + 492*b194*b496 + 7134*b194*b497 + 3854*
    b194*b498 + 574*b194*b499 + 6724*b194*b500 + 3444*b194*b501 + 7052*b194*
    b503 + 4920*b194*b504 + 5084*b194*b505 + 5084*b194*b506 + 6806*b194*b507 + 
    7462*b194*b508 + 288*b194*b509 + 896*b194*b510 + 704*b194*b511 + 224*b194*
    b512 + 32*b194*b513 + 1232*b194*b514 + 400*b194*b515 + 608*b194*b516 + 640*
    b194*b517 + 96*b194*b518 + 1392*b194*b519 + 752*b194*b520 + 112*b194*b521
     + 1312*b194*b522 + 672*b194*b523 + 1376*b194*b525 + 960*b194*b526 + 992*
    b194*b527 + 992*b194*b528 + 1328*b194*b529 + 1456*b194*b530 + 2136*b194*
    b531 + 2352*b194*b532 + 1368*b194*b533 + 7120*b194*b534 + 7840*b194*b535 + 
    4560*b194*b536 + 178*b194*b537 + 196*b194*b538 + 114*b194*b539 + 534*b194*
    b540 + 588*b194*b541 + 342*b194*b542 + 10324*b194*b543 + 11368*b194*b544 + 
    6612*b194*b545 + 178*b194*b546 + 196*b194*b547 + 114*b194*b548 + 7654*b194*
    b549 + 8428*b194*b550 + 4902*b194*b551 + 3560*b194*b555 + 3920*b194*b556 + 
    2280*b194*b557 + 14418*b194*b558 + 15876*b194*b559 + 9234*b194*b560 + 17622
    *b194*b561 + 19404*b194*b562 + 11286*b194*b563 + 8010*b194*b564 + 8820*b194
    *b565 + 5130*b194*b566 + 9968*b194*b567 + 10976*b194*b568 + 6384*b194*b569
     + 2670*b194*b570 + 2940*b194*b571 + 1710*b194*b572 + 17622*b194*b573 + 
    19404*b194*b574 + 11286*b194*b575 + 11392*b194*b576 + 12544*b194*b577 + 
    7296*b194*b578 + 10146*b194*b579 + 11172*b194*b580 + 6498*b194*b581 + 14952
    *b194*b582 + 16464*b194*b583 + 9576*b194*b584 + 14774*b194*b585 + 16268*
    b194*b586 + 9462*b194*b587 + 10858*b194*b588 + 11956*b194*b589 + 6954*b194*
    b590 + 4450*b194*b591 + 4900*b194*b592 + 2850*b194*b593 + 7298*b194*b594 + 
    8036*b194*b595 + 4674*b194*b596 + 1424*b194*b597 + 1568*b194*b598 + 912*
    b194*b599 + 9184*b194*b600 + 7216*b194*b601 + 2296*b194*b602 + 328*b194*
    b603 + 12628*b194*b604 + 4100*b194*b605 + 6232*b194*b606 + 6560*b194*b607
     + 984*b194*b608 + 14268*b194*b609 + 7708*b194*b610 + 1148*b194*b611 + 
    13448*b194*b612 + 6888*b194*b613 + 16072*b194*b614 + 14104*b194*b616 + 9840
    *b194*b617 + 10168*b194*b618 + 10168*b194*b619 + 13612*b194*b620 + 14924*
    b194*b621 + 9348*b194*b622 + 2952*b194*b623 + 3738*b194*b624 + 4116*b194*
    b625 + 2394*b194*b626 + 2280*b195*b201 + 40*b195*b202 + 3400*b195*b203 + 
    2840*b195*b204 + 400*b195*b205 + 600*b195*b206 + 3000*b195*b207 + 1640*b195
    *b208 + 2760*b195*b209 + 2680*b195*b210 + 2880*b195*b211 + 1000*b195*b212
     + 3360*b195*b213 + 1160*b195*b214 + 920*b195*b215 + 3440*b195*b216 + 2480*
    b195*b218 + 1440*b195*b219 + 80*b195*b220 + 80*b195*b221 + 1720*b195*b222
     + 9234*b195*b223 + 162*b195*b224 + 13770*b195*b225 + 11502*b195*b226 + 
    1620*b195*b227 + 2430*b195*b228 + 12150*b195*b229 + 6642*b195*b230 + 11178*
    b195*b231 + 10854*b195*b232 + 11664*b195*b233 + 4050*b195*b234 + 13608*b195
    *b235 + 4698*b195*b236 + 3726*b195*b237 + 13932*b195*b238 + 10044*b195*b240
     + 5832*b195*b241 + 324*b195*b242 + 324*b195*b243 + 6966*b195*b244 + 11286*
    b195*b245 + 198*b195*b246 + 16830*b195*b247 + 14058*b195*b248 + 1980*b195*
    b249 + 2970*b195*b250 + 14850*b195*b251 + 8118*b195*b252 + 13662*b195*b253
     + 13266*b195*b254 + 14256*b195*b255 + 4950*b195*b256 + 16632*b195*b257 + 
    5742*b195*b258 + 4554*b195*b259 + 17028*b195*b260 + 12276*b195*b262 + 7128*
    b195*b263 + 396*b195*b264 + 396*b195*b265 + 8514*b195*b266 + 5130*b195*b267
     + 90*b195*b268 + 7650*b195*b269 + 6390*b195*b270 + 900*b195*b271 + 1350*
    b195*b272 + 6750*b195*b273 + 3690*b195*b274 + 6210*b195*b275 + 6030*b195*
    b276 + 6480*b195*b277 + 2250*b195*b278 + 7560*b195*b279 + 2610*b195*b280 + 
    2070*b195*b281 + 7740*b195*b282 + 5580*b195*b284 + 3240*b195*b285 + 180*
    b195*b286 + 180*b195*b287 + 3870*b195*b288 + 6384*b195*b289 + 112*b195*b290
     + 9520*b195*b291 + 7952*b195*b292 + 1120*b195*b293 + 1680*b195*b294 + 8400
    *b195*b295 + 4592*b195*b296 + 7728*b195*b297 + 7504*b195*b298 + 8064*b195*
    b299 + 2800*b195*b300 + 9408*b195*b301 + 3248*b195*b302 + 2576*b195*b303 + 
    9632*b195*b304 + 6944*b195*b306 + 4032*b195*b307 + 224*b195*b308 + 224*b195
    *b309 + 4816*b195*b310 + 1710*b195*b311 + 30*b195*b312 + 2550*b195*b313 + 
    2130*b195*b314 + 300*b195*b315 + 450*b195*b316 + 2250*b195*b317 + 1230*b195
    *b318 + 2070*b195*b319 + 2010*b195*b320 + 2160*b195*b321 + 750*b195*b322 + 
    2520*b195*b323 + 870*b195*b324 + 690*b195*b325 + 2580*b195*b326 + 1860*b195
    *b328 + 1080*b195*b329 + 60*b195*b330 + 60*b195*b331 + 1290*b195*b332 + 
    11286*b195*b333 + 198*b195*b334 + 16830*b195*b335 + 14058*b195*b336 + 1980*
    b195*b337 + 2970*b195*b338 + 14850*b195*b339 + 8118*b195*b340 + 13662*b195*
    b341 + 13266*b195*b342 + 14256*b195*b343 + 4950*b195*b344 + 16632*b195*b345
     + 5742*b195*b346 + 4554*b195*b347 + 17028*b195*b348 + 12276*b195*b350 + 
    7128*b195*b351 + 396*b195*b352 + 396*b195*b353 + 8514*b195*b354 + 7296*b195
    *b355 + 128*b195*b356 + 10880*b195*b357 + 9088*b195*b358 + 1280*b195*b359
     + 1920*b195*b360 + 9600*b195*b361 + 5248*b195*b362 + 8832*b195*b363 + 8576
    *b195*b364 + 9216*b195*b365 + 3200*b195*b366 + 10752*b195*b367 + 3712*b195*
    b368 + 2944*b195*b369 + 11008*b195*b370 + 7936*b195*b372 + 4608*b195*b373
     + 256*b195*b374 + 256*b195*b375 + 5504*b195*b376 + 6498*b195*b377 + 114*
    b195*b378 + 9690*b195*b379 + 8094*b195*b380 + 1140*b195*b381 + 1710*b195*
    b382 + 8550*b195*b383 + 4674*b195*b384 + 7866*b195*b385 + 7638*b195*b386 + 
    8208*b195*b387 + 2850*b195*b388 + 9576*b195*b389 + 3306*b195*b390 + 2622*
    b195*b391 + 9804*b195*b392 + 7068*b195*b394 + 4104*b195*b395 + 228*b195*
    b396 + 228*b195*b397 + 4902*b195*b398 + 9576*b195*b399 + 168*b195*b400 + 
    14280*b195*b401 + 11928*b195*b402 + 1680*b195*b403 + 2520*b195*b404 + 12600
    *b195*b405 + 6888*b195*b406 + 11592*b195*b407 + 11256*b195*b408 + 12096*
    b195*b409 + 4200*b195*b410 + 14112*b195*b411 + 4872*b195*b412 + 3864*b195*
    b413 + 14448*b195*b414 + 10416*b195*b416 + 6048*b195*b417 + 336*b195*b418
     + 336*b195*b419 + 7224*b195*b420 + 9462*b195*b421 + 166*b195*b422 + 14110*
    b195*b423 + 11786*b195*b424 + 1660*b195*b425 + 2490*b195*b426 + 12450*b195*
    b427 + 6806*b195*b428 + 11454*b195*b429 + 11122*b195*b430 + 11952*b195*b431
     + 4150*b195*b432 + 13944*b195*b433 + 4814*b195*b434 + 3818*b195*b435 + 
    14276*b195*b436 + 10292*b195*b438 + 5976*b195*b439 + 332*b195*b440 + 332*
    b195*b441 + 7138*b195*b442 + 6954*b195*b443 + 122*b195*b444 + 10370*b195*
    b445 + 8662*b195*b446 + 1220*b195*b447 + 1830*b195*b448 + 9150*b195*b449 + 
    5002*b195*b450 + 8418*b195*b451 + 8174*b195*b452 + 8784*b195*b453 + 3050*
    b195*b454 + 10248*b195*b455 + 3538*b195*b456 + 2806*b195*b457 + 10492*b195*
    b458 + 7564*b195*b460 + 4392*b195*b461 + 244*b195*b462 + 244*b195*b463 + 
    5246*b195*b464 + 2850*b195*b465 + 50*b195*b466 + 4250*b195*b467 + 3550*b195
    *b468 + 500*b195*b469 + 750*b195*b470 + 3750*b195*b471 + 2050*b195*b472 + 
    3450*b195*b473 + 3350*b195*b474 + 3600*b195*b475 + 1250*b195*b476 + 4200*
    b195*b477 + 1450*b195*b478 + 1150*b195*b479 + 4300*b195*b480 + 3100*b195*
    b482 + 1800*b195*b483 + 100*b195*b484 + 100*b195*b485 + 2150*b195*b486 + 
    4674*b195*b487 + 82*b195*b488 + 6970*b195*b489 + 5822*b195*b490 + 820*b195*
    b491 + 1230*b195*b492 + 6150*b195*b493 + 3362*b195*b494 + 5658*b195*b495 + 
    5494*b195*b496 + 5904*b195*b497 + 2050*b195*b498 + 6888*b195*b499 + 2378*
    b195*b500 + 1886*b195*b501 + 7052*b195*b502 + 5084*b195*b504 + 2952*b195*
    b505 + 164*b195*b506 + 164*b195*b507 + 3526*b195*b508 + 912*b195*b509 + 16*
    b195*b510 + 1360*b195*b511 + 1136*b195*b512 + 160*b195*b513 + 240*b195*b514
     + 1200*b195*b515 + 656*b195*b516 + 1104*b195*b517 + 1072*b195*b518 + 1152*
    b195*b519 + 400*b195*b520 + 1344*b195*b521 + 464*b195*b522 + 368*b195*b523
     + 1376*b195*b524 + 992*b195*b526 + 576*b195*b527 + 32*b195*b528 + 32*b195*
    b529 + 688*b195*b530 + 840*b195*b531 + 840*b195*b532 + 1560*b195*b533 + 
    2800*b195*b534 + 2800*b195*b535 + 5200*b195*b536 + 70*b195*b537 + 70*b195*
    b538 + 130*b195*b539 + 210*b195*b540 + 210*b195*b541 + 390*b195*b542 + 4060
    *b195*b543 + 4060*b195*b544 + 7540*b195*b545 + 70*b195*b546 + 70*b195*b547
     + 130*b195*b548 + 3010*b195*b549 + 3010*b195*b550 + 5590*b195*b551 + 1400*
    b195*b555 + 1400*b195*b556 + 2600*b195*b557 + 5670*b195*b558 + 5670*b195*
    b559 + 10530*b195*b560 + 6930*b195*b561 + 6930*b195*b562 + 12870*b195*b563
     + 3150*b195*b564 + 3150*b195*b565 + 5850*b195*b566 + 3920*b195*b567 + 3920
    *b195*b568 + 7280*b195*b569 + 1050*b195*b570 + 1050*b195*b571 + 1950*b195*
    b572 + 6930*b195*b573 + 6930*b195*b574 + 12870*b195*b575 + 4480*b195*b576
     + 4480*b195*b577 + 8320*b195*b578 + 3990*b195*b579 + 3990*b195*b580 + 7410
    *b195*b581 + 5880*b195*b582 + 5880*b195*b583 + 10920*b195*b584 + 5810*b195*
    b585 + 5810*b195*b586 + 10790*b195*b587 + 4270*b195*b588 + 4270*b195*b589
     + 7930*b195*b590 + 1750*b195*b591 + 1750*b195*b592 + 3250*b195*b593 + 2870
    *b195*b594 + 2870*b195*b595 + 5330*b195*b596 + 560*b195*b597 + 560*b195*
    b598 + 1040*b195*b599 + 164*b195*b600 + 13940*b195*b601 + 11644*b195*b602
     + 1640*b195*b603 + 2460*b195*b604 + 12300*b195*b605 + 6724*b195*b606 + 
    11316*b195*b607 + 10988*b195*b608 + 11808*b195*b609 + 4100*b195*b610 + 
    13776*b195*b611 + 4756*b195*b612 + 3772*b195*b613 + 5740*b195*b614 + 14104*
    b195*b615 + 10168*b195*b617 + 5904*b195*b618 + 328*b195*b619 + 328*b195*
    b620 + 7052*b195*b621 + 10660*b195*b622 + 9348*b195*b623 + 1470*b195*b624
     + 1470*b195*b625 + 2730*b195*b626 + 1440*b196*b201 + 2000*b196*b202 + 3760
    *b196*b203 + 3080*b196*b204 + 3960*b196*b205 + 3560*b196*b206 + 3040*b196*
    b207 + 2240*b196*b208 + 480*b196*b209 + 1040*b196*b210 + 1800*b196*b211 + 
    1200*b196*b212 + 240*b196*b213 + 120*b196*b214 + 2480*b196*b215 + 2400*b196
    *b216 + 2480*b196*b217 + 1480*b196*b219 + 1960*b196*b220 + 2440*b196*b221
     + 200*b196*b222 + 5832*b196*b223 + 8100*b196*b224 + 15228*b196*b225 + 
    12474*b196*b226 + 16038*b196*b227 + 14418*b196*b228 + 12312*b196*b229 + 
    9072*b196*b230 + 1944*b196*b231 + 4212*b196*b232 + 7290*b196*b233 + 4860*
    b196*b234 + 972*b196*b235 + 486*b196*b236 + 10044*b196*b237 + 9720*b196*
    b238 + 10044*b196*b239 + 5994*b196*b241 + 7938*b196*b242 + 9882*b196*b243
     + 810*b196*b244 + 7128*b196*b245 + 9900*b196*b246 + 18612*b196*b247 + 
    15246*b196*b248 + 19602*b196*b249 + 17622*b196*b250 + 15048*b196*b251 + 
    11088*b196*b252 + 2376*b196*b253 + 5148*b196*b254 + 8910*b196*b255 + 5940*
    b196*b256 + 1188*b196*b257 + 594*b196*b258 + 12276*b196*b259 + 11880*b196*
    b260 + 12276*b196*b261 + 7326*b196*b263 + 9702*b196*b264 + 12078*b196*b265
     + 990*b196*b266 + 3240*b196*b267 + 4500*b196*b268 + 8460*b196*b269 + 6930*
    b196*b270 + 8910*b196*b271 + 8010*b196*b272 + 6840*b196*b273 + 5040*b196*
    b274 + 1080*b196*b275 + 2340*b196*b276 + 4050*b196*b277 + 2700*b196*b278 + 
    540*b196*b279 + 270*b196*b280 + 5580*b196*b281 + 5400*b196*b282 + 5580*b196
    *b283 + 3330*b196*b285 + 4410*b196*b286 + 5490*b196*b287 + 450*b196*b288 + 
    4032*b196*b289 + 5600*b196*b290 + 10528*b196*b291 + 8624*b196*b292 + 11088*
    b196*b293 + 9968*b196*b294 + 8512*b196*b295 + 6272*b196*b296 + 1344*b196*
    b297 + 2912*b196*b298 + 5040*b196*b299 + 3360*b196*b300 + 672*b196*b301 + 
    336*b196*b302 + 6944*b196*b303 + 6720*b196*b304 + 6944*b196*b305 + 4144*
    b196*b307 + 5488*b196*b308 + 6832*b196*b309 + 560*b196*b310 + 1080*b196*
    b311 + 1500*b196*b312 + 2820*b196*b313 + 2310*b196*b314 + 2970*b196*b315 + 
    2670*b196*b316 + 2280*b196*b317 + 1680*b196*b318 + 360*b196*b319 + 780*b196
    *b320 + 1350*b196*b321 + 900*b196*b322 + 180*b196*b323 + 90*b196*b324 + 
    1860*b196*b325 + 1800*b196*b326 + 1860*b196*b327 + 1110*b196*b329 + 1470*
    b196*b330 + 1830*b196*b331 + 150*b196*b332 + 7128*b196*b333 + 9900*b196*
    b334 + 18612*b196*b335 + 15246*b196*b336 + 19602*b196*b337 + 17622*b196*
    b338 + 15048*b196*b339 + 11088*b196*b340 + 2376*b196*b341 + 5148*b196*b342
     + 8910*b196*b343 + 5940*b196*b344 + 1188*b196*b345 + 594*b196*b346 + 12276
    *b196*b347 + 11880*b196*b348 + 12276*b196*b349 + 7326*b196*b351 + 9702*b196
    *b352 + 12078*b196*b353 + 990*b196*b354 + 4608*b196*b355 + 6400*b196*b356
     + 12032*b196*b357 + 9856*b196*b358 + 12672*b196*b359 + 11392*b196*b360 + 
    9728*b196*b361 + 7168*b196*b362 + 1536*b196*b363 + 3328*b196*b364 + 5760*
    b196*b365 + 3840*b196*b366 + 768*b196*b367 + 384*b196*b368 + 7936*b196*b369
     + 7680*b196*b370 + 7936*b196*b371 + 4736*b196*b373 + 6272*b196*b374 + 7808
    *b196*b375 + 640*b196*b376 + 4104*b196*b377 + 5700*b196*b378 + 10716*b196*
    b379 + 8778*b196*b380 + 11286*b196*b381 + 10146*b196*b382 + 8664*b196*b383
     + 6384*b196*b384 + 1368*b196*b385 + 2964*b196*b386 + 5130*b196*b387 + 3420
    *b196*b388 + 684*b196*b389 + 342*b196*b390 + 7068*b196*b391 + 6840*b196*
    b392 + 7068*b196*b393 + 4218*b196*b395 + 5586*b196*b396 + 6954*b196*b397 + 
    570*b196*b398 + 6048*b196*b399 + 8400*b196*b400 + 15792*b196*b401 + 12936*
    b196*b402 + 16632*b196*b403 + 14952*b196*b404 + 12768*b196*b405 + 9408*b196
    *b406 + 2016*b196*b407 + 4368*b196*b408 + 7560*b196*b409 + 5040*b196*b410
     + 1008*b196*b411 + 504*b196*b412 + 10416*b196*b413 + 10080*b196*b414 + 
    10416*b196*b415 + 6216*b196*b417 + 8232*b196*b418 + 10248*b196*b419 + 840*
    b196*b420 + 5976*b196*b421 + 8300*b196*b422 + 15604*b196*b423 + 12782*b196*
    b424 + 16434*b196*b425 + 14774*b196*b426 + 12616*b196*b427 + 9296*b196*b428
     + 1992*b196*b429 + 4316*b196*b430 + 7470*b196*b431 + 4980*b196*b432 + 996*
    b196*b433 + 498*b196*b434 + 10292*b196*b435 + 9960*b196*b436 + 10292*b196*
    b437 + 6142*b196*b439 + 8134*b196*b440 + 10126*b196*b441 + 830*b196*b442 + 
    4392*b196*b443 + 6100*b196*b444 + 11468*b196*b445 + 9394*b196*b446 + 12078*
    b196*b447 + 10858*b196*b448 + 9272*b196*b449 + 6832*b196*b450 + 1464*b196*
    b451 + 3172*b196*b452 + 5490*b196*b453 + 3660*b196*b454 + 732*b196*b455 + 
    366*b196*b456 + 7564*b196*b457 + 7320*b196*b458 + 7564*b196*b459 + 4514*
    b196*b461 + 5978*b196*b462 + 7442*b196*b463 + 610*b196*b464 + 1800*b196*
    b465 + 2500*b196*b466 + 4700*b196*b467 + 3850*b196*b468 + 4950*b196*b469 + 
    4450*b196*b470 + 3800*b196*b471 + 2800*b196*b472 + 600*b196*b473 + 1300*
    b196*b474 + 2250*b196*b475 + 1500*b196*b476 + 300*b196*b477 + 150*b196*b478
     + 3100*b196*b479 + 3000*b196*b480 + 3100*b196*b481 + 1850*b196*b483 + 2450
    *b196*b484 + 3050*b196*b485 + 250*b196*b486 + 2952*b196*b487 + 4100*b196*
    b488 + 7708*b196*b489 + 6314*b196*b490 + 8118*b196*b491 + 7298*b196*b492 + 
    6232*b196*b493 + 4592*b196*b494 + 984*b196*b495 + 2132*b196*b496 + 3690*
    b196*b497 + 2460*b196*b498 + 492*b196*b499 + 246*b196*b500 + 5084*b196*b501
     + 4920*b196*b502 + 5084*b196*b503 + 3034*b196*b505 + 4018*b196*b506 + 5002
    *b196*b507 + 410*b196*b508 + 576*b196*b509 + 800*b196*b510 + 1504*b196*b511
     + 1232*b196*b512 + 1584*b196*b513 + 1424*b196*b514 + 1216*b196*b515 + 896*
    b196*b516 + 192*b196*b517 + 416*b196*b518 + 720*b196*b519 + 480*b196*b520
     + 96*b196*b521 + 48*b196*b522 + 992*b196*b523 + 960*b196*b524 + 992*b196*
    b525 + 592*b196*b527 + 784*b196*b528 + 976*b196*b529 + 80*b196*b530 + 216*
    b196*b531 + 360*b196*b532 + 816*b196*b533 + 720*b196*b534 + 1200*b196*b535
     + 2720*b196*b536 + 18*b196*b537 + 30*b196*b538 + 68*b196*b539 + 54*b196*
    b540 + 90*b196*b541 + 204*b196*b542 + 1044*b196*b543 + 1740*b196*b544 + 
    3944*b196*b545 + 18*b196*b546 + 30*b196*b547 + 68*b196*b548 + 774*b196*b549
     + 1290*b196*b550 + 2924*b196*b551 + 360*b196*b555 + 600*b196*b556 + 1360*
    b196*b557 + 1458*b196*b558 + 2430*b196*b559 + 5508*b196*b560 + 1782*b196*
    b561 + 2970*b196*b562 + 6732*b196*b563 + 810*b196*b564 + 1350*b196*b565 + 
    3060*b196*b566 + 1008*b196*b567 + 1680*b196*b568 + 3808*b196*b569 + 270*
    b196*b570 + 450*b196*b571 + 1020*b196*b572 + 1782*b196*b573 + 2970*b196*
    b574 + 6732*b196*b575 + 1152*b196*b576 + 1920*b196*b577 + 4352*b196*b578 + 
    1026*b196*b579 + 1710*b196*b580 + 3876*b196*b581 + 1512*b196*b582 + 2520*
    b196*b583 + 5712*b196*b584 + 1494*b196*b585 + 2490*b196*b586 + 5644*b196*
    b587 + 1098*b196*b588 + 1830*b196*b589 + 4148*b196*b590 + 450*b196*b591 + 
    750*b196*b592 + 1700*b196*b593 + 738*b196*b594 + 1230*b196*b595 + 2788*b196
    *b596 + 144*b196*b597 + 240*b196*b598 + 544*b196*b599 + 8200*b196*b600 + 
    15416*b196*b601 + 12628*b196*b602 + 16236*b196*b603 + 14596*b196*b604 + 
    12464*b196*b605 + 9184*b196*b606 + 1968*b196*b607 + 4264*b196*b608 + 7380*
    b196*b609 + 4920*b196*b610 + 984*b196*b611 + 492*b196*b612 + 10168*b196*
    b613 + 2460*b196*b614 + 9840*b196*b615 + 10168*b196*b616 + 6068*b196*b618
     + 8036*b196*b619 + 10004*b196*b620 + 820*b196*b621 + 5576*b196*b622 + 5904
    *b196*b623 + 378*b196*b624 + 630*b196*b625 + 1428*b196*b626 + 2440*b197*
    b201 + 160*b197*b202 + 3600*b197*b203 + 1440*b197*b204 + 2240*b197*b205 + 
    1920*b197*b206 + 1600*b197*b207 + 1560*b197*b208 + 3400*b197*b209 + 3280*
    b197*b210 + 3840*b197*b211 + 1720*b197*b212 + 120*b197*b214 + 2480*b197*
    b215 + 2480*b197*b216 + 1440*b197*b217 + 1480*b197*b218 + 2120*b197*b220 + 
    3840*b197*b221 + 3280*b197*b222 + 9882*b197*b223 + 648*b197*b224 + 14580*
    b197*b225 + 5832*b197*b226 + 9072*b197*b227 + 7776*b197*b228 + 6480*b197*
    b229 + 6318*b197*b230 + 13770*b197*b231 + 13284*b197*b232 + 15552*b197*b233
     + 6966*b197*b234 + 486*b197*b236 + 10044*b197*b237 + 10044*b197*b238 + 
    5832*b197*b239 + 5994*b197*b240 + 8586*b197*b242 + 15552*b197*b243 + 13284*
    b197*b244 + 12078*b197*b245 + 792*b197*b246 + 17820*b197*b247 + 7128*b197*
    b248 + 11088*b197*b249 + 9504*b197*b250 + 7920*b197*b251 + 7722*b197*b252
     + 16830*b197*b253 + 16236*b197*b254 + 19008*b197*b255 + 8514*b197*b256 + 
    594*b197*b258 + 12276*b197*b259 + 12276*b197*b260 + 7128*b197*b261 + 7326*
    b197*b262 + 10494*b197*b264 + 19008*b197*b265 + 16236*b197*b266 + 5490*b197
    *b267 + 360*b197*b268 + 8100*b197*b269 + 3240*b197*b270 + 5040*b197*b271 + 
    4320*b197*b272 + 3600*b197*b273 + 3510*b197*b274 + 7650*b197*b275 + 7380*
    b197*b276 + 8640*b197*b277 + 3870*b197*b278 + 270*b197*b280 + 5580*b197*
    b281 + 5580*b197*b282 + 3240*b197*b283 + 3330*b197*b284 + 4770*b197*b286 + 
    8640*b197*b287 + 7380*b197*b288 + 6832*b197*b289 + 448*b197*b290 + 10080*
    b197*b291 + 4032*b197*b292 + 6272*b197*b293 + 5376*b197*b294 + 4480*b197*
    b295 + 4368*b197*b296 + 9520*b197*b297 + 9184*b197*b298 + 10752*b197*b299
     + 4816*b197*b300 + 336*b197*b302 + 6944*b197*b303 + 6944*b197*b304 + 4032*
    b197*b305 + 4144*b197*b306 + 5936*b197*b308 + 10752*b197*b309 + 9184*b197*
    b310 + 1830*b197*b311 + 120*b197*b312 + 2700*b197*b313 + 1080*b197*b314 + 
    1680*b197*b315 + 1440*b197*b316 + 1200*b197*b317 + 1170*b197*b318 + 2550*
    b197*b319 + 2460*b197*b320 + 2880*b197*b321 + 1290*b197*b322 + 90*b197*b324
     + 1860*b197*b325 + 1860*b197*b326 + 1080*b197*b327 + 1110*b197*b328 + 1590
    *b197*b330 + 2880*b197*b331 + 2460*b197*b332 + 12078*b197*b333 + 792*b197*
    b334 + 17820*b197*b335 + 7128*b197*b336 + 11088*b197*b337 + 9504*b197*b338
     + 7920*b197*b339 + 7722*b197*b340 + 16830*b197*b341 + 16236*b197*b342 + 
    19008*b197*b343 + 8514*b197*b344 + 594*b197*b346 + 12276*b197*b347 + 12276*
    b197*b348 + 7128*b197*b349 + 7326*b197*b350 + 10494*b197*b352 + 19008*b197*
    b353 + 16236*b197*b354 + 7808*b197*b355 + 512*b197*b356 + 11520*b197*b357
     + 4608*b197*b358 + 7168*b197*b359 + 6144*b197*b360 + 5120*b197*b361 + 4992
    *b197*b362 + 10880*b197*b363 + 10496*b197*b364 + 12288*b197*b365 + 5504*
    b197*b366 + 384*b197*b368 + 7936*b197*b369 + 7936*b197*b370 + 4608*b197*
    b371 + 4736*b197*b372 + 6784*b197*b374 + 12288*b197*b375 + 10496*b197*b376
     + 6954*b197*b377 + 456*b197*b378 + 10260*b197*b379 + 4104*b197*b380 + 6384
    *b197*b381 + 5472*b197*b382 + 4560*b197*b383 + 4446*b197*b384 + 9690*b197*
    b385 + 9348*b197*b386 + 10944*b197*b387 + 4902*b197*b388 + 342*b197*b390 + 
    7068*b197*b391 + 7068*b197*b392 + 4104*b197*b393 + 4218*b197*b394 + 6042*
    b197*b396 + 10944*b197*b397 + 9348*b197*b398 + 10248*b197*b399 + 672*b197*
    b400 + 15120*b197*b401 + 6048*b197*b402 + 9408*b197*b403 + 8064*b197*b404
     + 6720*b197*b405 + 6552*b197*b406 + 14280*b197*b407 + 13776*b197*b408 + 
    16128*b197*b409 + 7224*b197*b410 + 504*b197*b412 + 10416*b197*b413 + 10416*
    b197*b414 + 6048*b197*b415 + 6216*b197*b416 + 8904*b197*b418 + 16128*b197*
    b419 + 13776*b197*b420 + 10126*b197*b421 + 664*b197*b422 + 14940*b197*b423
     + 5976*b197*b424 + 9296*b197*b425 + 7968*b197*b426 + 6640*b197*b427 + 6474
    *b197*b428 + 14110*b197*b429 + 13612*b197*b430 + 15936*b197*b431 + 7138*
    b197*b432 + 498*b197*b434 + 10292*b197*b435 + 10292*b197*b436 + 5976*b197*
    b437 + 6142*b197*b438 + 8798*b197*b440 + 15936*b197*b441 + 13612*b197*b442
     + 7442*b197*b443 + 488*b197*b444 + 10980*b197*b445 + 4392*b197*b446 + 6832
    *b197*b447 + 5856*b197*b448 + 4880*b197*b449 + 4758*b197*b450 + 10370*b197*
    b451 + 10004*b197*b452 + 11712*b197*b453 + 5246*b197*b454 + 366*b197*b456
     + 7564*b197*b457 + 7564*b197*b458 + 4392*b197*b459 + 4514*b197*b460 + 6466
    *b197*b462 + 11712*b197*b463 + 10004*b197*b464 + 3050*b197*b465 + 200*b197*
    b466 + 4500*b197*b467 + 1800*b197*b468 + 2800*b197*b469 + 2400*b197*b470 + 
    2000*b197*b471 + 1950*b197*b472 + 4250*b197*b473 + 4100*b197*b474 + 4800*
    b197*b475 + 2150*b197*b476 + 150*b197*b478 + 3100*b197*b479 + 3100*b197*
    b480 + 1800*b197*b481 + 1850*b197*b482 + 2650*b197*b484 + 4800*b197*b485 + 
    4100*b197*b486 + 5002*b197*b487 + 328*b197*b488 + 7380*b197*b489 + 2952*
    b197*b490 + 4592*b197*b491 + 3936*b197*b492 + 3280*b197*b493 + 3198*b197*
    b494 + 6970*b197*b495 + 6724*b197*b496 + 7872*b197*b497 + 3526*b197*b498 + 
    246*b197*b500 + 5084*b197*b501 + 5084*b197*b502 + 2952*b197*b503 + 3034*
    b197*b504 + 4346*b197*b506 + 7872*b197*b507 + 6724*b197*b508 + 976*b197*
    b509 + 64*b197*b510 + 1440*b197*b511 + 576*b197*b512 + 896*b197*b513 + 768*
    b197*b514 + 640*b197*b515 + 624*b197*b516 + 1360*b197*b517 + 1312*b197*b518
     + 1536*b197*b519 + 688*b197*b520 + 48*b197*b522 + 992*b197*b523 + 992*b197
    *b524 + 576*b197*b525 + 592*b197*b526 + 848*b197*b528 + 1536*b197*b529 + 
    1312*b197*b530 + 24*b197*b531 + 408*b197*b532 + 1152*b197*b533 + 80*b197*
    b534 + 1360*b197*b535 + 3840*b197*b536 + 2*b197*b537 + 34*b197*b538 + 96*
    b197*b539 + 6*b197*b540 + 102*b197*b541 + 288*b197*b542 + 116*b197*b543 + 
    1972*b197*b544 + 5568*b197*b545 + 2*b197*b546 + 34*b197*b547 + 96*b197*b548
     + 86*b197*b549 + 1462*b197*b550 + 4128*b197*b551 + 40*b197*b555 + 680*b197
    *b556 + 1920*b197*b557 + 162*b197*b558 + 2754*b197*b559 + 7776*b197*b560 + 
    198*b197*b561 + 3366*b197*b562 + 9504*b197*b563 + 90*b197*b564 + 1530*b197*
    b565 + 4320*b197*b566 + 112*b197*b567 + 1904*b197*b568 + 5376*b197*b569 + 
    30*b197*b570 + 510*b197*b571 + 1440*b197*b572 + 198*b197*b573 + 3366*b197*
    b574 + 9504*b197*b575 + 128*b197*b576 + 2176*b197*b577 + 6144*b197*b578 + 
    114*b197*b579 + 1938*b197*b580 + 5472*b197*b581 + 168*b197*b582 + 2856*b197
    *b583 + 8064*b197*b584 + 166*b197*b585 + 2822*b197*b586 + 7968*b197*b587 + 
    122*b197*b588 + 2074*b197*b589 + 5856*b197*b590 + 50*b197*b591 + 850*b197*
    b592 + 2400*b197*b593 + 82*b197*b594 + 1394*b197*b595 + 3936*b197*b596 + 16
    *b197*b597 + 272*b197*b598 + 768*b197*b599 + 656*b197*b600 + 14760*b197*
    b601 + 5904*b197*b602 + 9184*b197*b603 + 7872*b197*b604 + 6560*b197*b605 + 
    6396*b197*b606 + 13940*b197*b607 + 13448*b197*b608 + 15744*b197*b609 + 7052
    *b197*b610 + 492*b197*b612 + 10168*b197*b613 + 2788*b197*b614 + 10168*b197*
    b615 + 5904*b197*b616 + 6068*b197*b617 + 8692*b197*b619 + 15744*b197*b620
     + 13448*b197*b621 + 7872*b197*b622 + 10004*b197*b623 + 42*b197*b624 + 714*
    b197*b625 + 2016*b197*b626 + 1440*b198*b201 + 1440*b198*b202 + 2040*b198*
    b203 + 2120*b198*b204 + 2800*b198*b205 + 560*b198*b206 + 2640*b198*b207 + 
    2120*b198*b208 + 2880*b198*b209 + 1760*b198*b210 + 280*b198*b211 + 3880*
    b198*b212 + 2040*b198*b214 + 1120*b198*b215 + 2480*b198*b216 + 80*b198*b217
     + 1960*b198*b218 + 2120*b198*b219 + 1120*b198*b221 + 1240*b198*b222 + 5832
    *b198*b223 + 5832*b198*b224 + 8262*b198*b225 + 8586*b198*b226 + 11340*b198*
    b227 + 2268*b198*b228 + 10692*b198*b229 + 8586*b198*b230 + 11664*b198*b231
     + 7128*b198*b232 + 1134*b198*b233 + 15714*b198*b234 + 8262*b198*b236 + 
    4536*b198*b237 + 10044*b198*b238 + 324*b198*b239 + 7938*b198*b240 + 8586*
    b198*b241 + 4536*b198*b243 + 5022*b198*b244 + 7128*b198*b245 + 7128*b198*
    b246 + 10098*b198*b247 + 10494*b198*b248 + 13860*b198*b249 + 2772*b198*b250
     + 13068*b198*b251 + 10494*b198*b252 + 14256*b198*b253 + 8712*b198*b254 + 
    1386*b198*b255 + 19206*b198*b256 + 10098*b198*b258 + 5544*b198*b259 + 12276
    *b198*b260 + 396*b198*b261 + 9702*b198*b262 + 10494*b198*b263 + 5544*b198*
    b265 + 6138*b198*b266 + 3240*b198*b267 + 3240*b198*b268 + 4590*b198*b269 + 
    4770*b198*b270 + 6300*b198*b271 + 1260*b198*b272 + 5940*b198*b273 + 4770*
    b198*b274 + 6480*b198*b275 + 3960*b198*b276 + 630*b198*b277 + 8730*b198*
    b278 + 4590*b198*b280 + 2520*b198*b281 + 5580*b198*b282 + 180*b198*b283 + 
    4410*b198*b284 + 4770*b198*b285 + 2520*b198*b287 + 2790*b198*b288 + 4032*
    b198*b289 + 4032*b198*b290 + 5712*b198*b291 + 5936*b198*b292 + 7840*b198*
    b293 + 1568*b198*b294 + 7392*b198*b295 + 5936*b198*b296 + 8064*b198*b297 + 
    4928*b198*b298 + 784*b198*b299 + 10864*b198*b300 + 5712*b198*b302 + 3136*
    b198*b303 + 6944*b198*b304 + 224*b198*b305 + 5488*b198*b306 + 5936*b198*
    b307 + 3136*b198*b309 + 3472*b198*b310 + 1080*b198*b311 + 1080*b198*b312 + 
    1530*b198*b313 + 1590*b198*b314 + 2100*b198*b315 + 420*b198*b316 + 1980*
    b198*b317 + 1590*b198*b318 + 2160*b198*b319 + 1320*b198*b320 + 210*b198*
    b321 + 2910*b198*b322 + 1530*b198*b324 + 840*b198*b325 + 1860*b198*b326 + 
    60*b198*b327 + 1470*b198*b328 + 1590*b198*b329 + 840*b198*b331 + 930*b198*
    b332 + 7128*b198*b333 + 7128*b198*b334 + 10098*b198*b335 + 10494*b198*b336
     + 13860*b198*b337 + 2772*b198*b338 + 13068*b198*b339 + 10494*b198*b340 + 
    14256*b198*b341 + 8712*b198*b342 + 1386*b198*b343 + 19206*b198*b344 + 10098
    *b198*b346 + 5544*b198*b347 + 12276*b198*b348 + 396*b198*b349 + 9702*b198*
    b350 + 10494*b198*b351 + 5544*b198*b353 + 6138*b198*b354 + 4608*b198*b355
     + 4608*b198*b356 + 6528*b198*b357 + 6784*b198*b358 + 8960*b198*b359 + 1792
    *b198*b360 + 8448*b198*b361 + 6784*b198*b362 + 9216*b198*b363 + 5632*b198*
    b364 + 896*b198*b365 + 12416*b198*b366 + 6528*b198*b368 + 3584*b198*b369 + 
    7936*b198*b370 + 256*b198*b371 + 6272*b198*b372 + 6784*b198*b373 + 3584*
    b198*b375 + 3968*b198*b376 + 4104*b198*b377 + 4104*b198*b378 + 5814*b198*
    b379 + 6042*b198*b380 + 7980*b198*b381 + 1596*b198*b382 + 7524*b198*b383 + 
    6042*b198*b384 + 8208*b198*b385 + 5016*b198*b386 + 798*b198*b387 + 11058*
    b198*b388 + 5814*b198*b390 + 3192*b198*b391 + 7068*b198*b392 + 228*b198*
    b393 + 5586*b198*b394 + 6042*b198*b395 + 3192*b198*b397 + 3534*b198*b398 + 
    6048*b198*b399 + 6048*b198*b400 + 8568*b198*b401 + 8904*b198*b402 + 11760*
    b198*b403 + 2352*b198*b404 + 11088*b198*b405 + 8904*b198*b406 + 12096*b198*
    b407 + 7392*b198*b408 + 1176*b198*b409 + 16296*b198*b410 + 8568*b198*b412
     + 4704*b198*b413 + 10416*b198*b414 + 336*b198*b415 + 8232*b198*b416 + 8904
    *b198*b417 + 4704*b198*b419 + 5208*b198*b420 + 5976*b198*b421 + 5976*b198*
    b422 + 8466*b198*b423 + 8798*b198*b424 + 11620*b198*b425 + 2324*b198*b426
     + 10956*b198*b427 + 8798*b198*b428 + 11952*b198*b429 + 7304*b198*b430 + 
    1162*b198*b431 + 16102*b198*b432 + 8466*b198*b434 + 4648*b198*b435 + 10292*
    b198*b436 + 332*b198*b437 + 8134*b198*b438 + 8798*b198*b439 + 4648*b198*
    b441 + 5146*b198*b442 + 4392*b198*b443 + 4392*b198*b444 + 6222*b198*b445 + 
    6466*b198*b446 + 8540*b198*b447 + 1708*b198*b448 + 8052*b198*b449 + 6466*
    b198*b450 + 8784*b198*b451 + 5368*b198*b452 + 854*b198*b453 + 11834*b198*
    b454 + 6222*b198*b456 + 3416*b198*b457 + 7564*b198*b458 + 244*b198*b459 + 
    5978*b198*b460 + 6466*b198*b461 + 3416*b198*b463 + 3782*b198*b464 + 1800*
    b198*b465 + 1800*b198*b466 + 2550*b198*b467 + 2650*b198*b468 + 3500*b198*
    b469 + 700*b198*b470 + 3300*b198*b471 + 2650*b198*b472 + 3600*b198*b473 + 
    2200*b198*b474 + 350*b198*b475 + 4850*b198*b476 + 2550*b198*b478 + 1400*
    b198*b479 + 3100*b198*b480 + 100*b198*b481 + 2450*b198*b482 + 2650*b198*
    b483 + 1400*b198*b485 + 1550*b198*b486 + 2952*b198*b487 + 2952*b198*b488 + 
    4182*b198*b489 + 4346*b198*b490 + 5740*b198*b491 + 1148*b198*b492 + 5412*
    b198*b493 + 4346*b198*b494 + 5904*b198*b495 + 3608*b198*b496 + 574*b198*
    b497 + 7954*b198*b498 + 4182*b198*b500 + 2296*b198*b501 + 5084*b198*b502 + 
    164*b198*b503 + 4018*b198*b504 + 4346*b198*b505 + 2296*b198*b507 + 2542*
    b198*b508 + 576*b198*b509 + 576*b198*b510 + 816*b198*b511 + 848*b198*b512
     + 1120*b198*b513 + 224*b198*b514 + 1056*b198*b515 + 848*b198*b516 + 1152*
    b198*b517 + 704*b198*b518 + 112*b198*b519 + 1552*b198*b520 + 816*b198*b522
     + 448*b198*b523 + 992*b198*b524 + 32*b198*b525 + 784*b198*b526 + 848*b198*
    b527 + 448*b198*b529 + 496*b198*b530 + 2040*b198*b531 + 1848*b198*b532 + 
    1800*b198*b533 + 6800*b198*b534 + 6160*b198*b535 + 6000*b198*b536 + 170*
    b198*b537 + 154*b198*b538 + 150*b198*b539 + 510*b198*b540 + 462*b198*b541
     + 450*b198*b542 + 9860*b198*b543 + 8932*b198*b544 + 8700*b198*b545 + 170*
    b198*b546 + 154*b198*b547 + 150*b198*b548 + 7310*b198*b549 + 6622*b198*b550
     + 6450*b198*b551 + 3400*b198*b555 + 3080*b198*b556 + 3000*b198*b557 + 
    13770*b198*b558 + 12474*b198*b559 + 12150*b198*b560 + 16830*b198*b561 + 
    15246*b198*b562 + 14850*b198*b563 + 7650*b198*b564 + 6930*b198*b565 + 6750*
    b198*b566 + 9520*b198*b567 + 8624*b198*b568 + 8400*b198*b569 + 2550*b198*
    b570 + 2310*b198*b571 + 2250*b198*b572 + 16830*b198*b573 + 15246*b198*b574
     + 14850*b198*b575 + 10880*b198*b576 + 9856*b198*b577 + 9600*b198*b578 + 
    9690*b198*b579 + 8778*b198*b580 + 8550*b198*b581 + 14280*b198*b582 + 12936*
    b198*b583 + 12600*b198*b584 + 14110*b198*b585 + 12782*b198*b586 + 12450*
    b198*b587 + 10370*b198*b588 + 9394*b198*b589 + 9150*b198*b590 + 4250*b198*
    b591 + 3850*b198*b592 + 3750*b198*b593 + 6970*b198*b594 + 6314*b198*b595 + 
    6150*b198*b596 + 1360*b198*b597 + 1232*b198*b598 + 1200*b198*b599 + 5904*
    b198*b600 + 8364*b198*b601 + 8692*b198*b602 + 11480*b198*b603 + 2296*b198*
    b604 + 10824*b198*b605 + 8692*b198*b606 + 11808*b198*b607 + 7216*b198*b608
     + 1148*b198*b609 + 15908*b198*b610 + 8364*b198*b612 + 4592*b198*b613 + 
    12628*b198*b614 + 10168*b198*b615 + 328*b198*b616 + 8036*b198*b617 + 8692*
    b198*b618 + 4592*b198*b620 + 5084*b198*b621 + 12300*b198*b622 + 5904*b198*
    b623 + 3570*b198*b624 + 3234*b198*b625 + 3150*b198*b626 + 840*b199*b201 + 
    1080*b199*b202 + 120*b199*b203 + 1480*b199*b204 + 3960*b199*b205 + 3560*
    b199*b206 + 2320*b199*b207 + 3080*b199*b208 + 280*b199*b209 + 1400*b199*
    b210 + 3480*b199*b211 + 1320*b199*b212 + 1920*b199*b213 + 2680*b199*b214 + 
    3040*b199*b215 + 3320*b199*b216 + 80*b199*b217 + 2440*b199*b218 + 3840*b199
    *b219 + 1120*b199*b220 + 40*b199*b222 + 3402*b199*b223 + 4374*b199*b224 + 
    486*b199*b225 + 5994*b199*b226 + 16038*b199*b227 + 14418*b199*b228 + 9396*
    b199*b229 + 12474*b199*b230 + 1134*b199*b231 + 5670*b199*b232 + 14094*b199*
    b233 + 5346*b199*b234 + 7776*b199*b235 + 10854*b199*b236 + 12312*b199*b237
     + 13446*b199*b238 + 324*b199*b239 + 9882*b199*b240 + 15552*b199*b241 + 
    4536*b199*b242 + 162*b199*b244 + 4158*b199*b245 + 5346*b199*b246 + 594*b199
    *b247 + 7326*b199*b248 + 19602*b199*b249 + 17622*b199*b250 + 11484*b199*
    b251 + 15246*b199*b252 + 1386*b199*b253 + 6930*b199*b254 + 17226*b199*b255
     + 6534*b199*b256 + 9504*b199*b257 + 13266*b199*b258 + 15048*b199*b259 + 
    16434*b199*b260 + 396*b199*b261 + 12078*b199*b262 + 19008*b199*b263 + 5544*
    b199*b264 + 198*b199*b266 + 1890*b199*b267 + 2430*b199*b268 + 270*b199*b269
     + 3330*b199*b270 + 8910*b199*b271 + 8010*b199*b272 + 5220*b199*b273 + 6930
    *b199*b274 + 630*b199*b275 + 3150*b199*b276 + 7830*b199*b277 + 2970*b199*
    b278 + 4320*b199*b279 + 6030*b199*b280 + 6840*b199*b281 + 7470*b199*b282 + 
    180*b199*b283 + 5490*b199*b284 + 8640*b199*b285 + 2520*b199*b286 + 90*b199*
    b288 + 2352*b199*b289 + 3024*b199*b290 + 336*b199*b291 + 4144*b199*b292 + 
    11088*b199*b293 + 9968*b199*b294 + 6496*b199*b295 + 8624*b199*b296 + 784*
    b199*b297 + 3920*b199*b298 + 9744*b199*b299 + 3696*b199*b300 + 5376*b199*
    b301 + 7504*b199*b302 + 8512*b199*b303 + 9296*b199*b304 + 224*b199*b305 + 
    6832*b199*b306 + 10752*b199*b307 + 3136*b199*b308 + 112*b199*b310 + 630*
    b199*b311 + 810*b199*b312 + 90*b199*b313 + 1110*b199*b314 + 2970*b199*b315
     + 2670*b199*b316 + 1740*b199*b317 + 2310*b199*b318 + 210*b199*b319 + 1050*
    b199*b320 + 2610*b199*b321 + 990*b199*b322 + 1440*b199*b323 + 2010*b199*
    b324 + 2280*b199*b325 + 2490*b199*b326 + 60*b199*b327 + 1830*b199*b328 + 
    2880*b199*b329 + 840*b199*b330 + 30*b199*b332 + 4158*b199*b333 + 5346*b199*
    b334 + 594*b199*b335 + 7326*b199*b336 + 19602*b199*b337 + 17622*b199*b338
     + 11484*b199*b339 + 15246*b199*b340 + 1386*b199*b341 + 6930*b199*b342 + 
    17226*b199*b343 + 6534*b199*b344 + 9504*b199*b345 + 13266*b199*b346 + 15048
    *b199*b347 + 16434*b199*b348 + 396*b199*b349 + 12078*b199*b350 + 19008*b199
    *b351 + 5544*b199*b352 + 198*b199*b354 + 2688*b199*b355 + 3456*b199*b356 + 
    384*b199*b357 + 4736*b199*b358 + 12672*b199*b359 + 11392*b199*b360 + 7424*
    b199*b361 + 9856*b199*b362 + 896*b199*b363 + 4480*b199*b364 + 11136*b199*
    b365 + 4224*b199*b366 + 6144*b199*b367 + 8576*b199*b368 + 9728*b199*b369 + 
    10624*b199*b370 + 256*b199*b371 + 7808*b199*b372 + 12288*b199*b373 + 3584*
    b199*b374 + 128*b199*b376 + 2394*b199*b377 + 3078*b199*b378 + 342*b199*b379
     + 4218*b199*b380 + 11286*b199*b381 + 10146*b199*b382 + 6612*b199*b383 + 
    8778*b199*b384 + 798*b199*b385 + 3990*b199*b386 + 9918*b199*b387 + 3762*
    b199*b388 + 5472*b199*b389 + 7638*b199*b390 + 8664*b199*b391 + 9462*b199*
    b392 + 228*b199*b393 + 6954*b199*b394 + 10944*b199*b395 + 3192*b199*b396 + 
    114*b199*b398 + 3528*b199*b399 + 4536*b199*b400 + 504*b199*b401 + 6216*b199
    *b402 + 16632*b199*b403 + 14952*b199*b404 + 9744*b199*b405 + 12936*b199*
    b406 + 1176*b199*b407 + 5880*b199*b408 + 14616*b199*b409 + 5544*b199*b410
     + 8064*b199*b411 + 11256*b199*b412 + 12768*b199*b413 + 13944*b199*b414 + 
    336*b199*b415 + 10248*b199*b416 + 16128*b199*b417 + 4704*b199*b418 + 168*
    b199*b420 + 3486*b199*b421 + 4482*b199*b422 + 498*b199*b423 + 6142*b199*
    b424 + 16434*b199*b425 + 14774*b199*b426 + 9628*b199*b427 + 12782*b199*b428
     + 1162*b199*b429 + 5810*b199*b430 + 14442*b199*b431 + 5478*b199*b432 + 
    7968*b199*b433 + 11122*b199*b434 + 12616*b199*b435 + 13778*b199*b436 + 332*
    b199*b437 + 10126*b199*b438 + 15936*b199*b439 + 4648*b199*b440 + 166*b199*
    b442 + 2562*b199*b443 + 3294*b199*b444 + 366*b199*b445 + 4514*b199*b446 + 
    12078*b199*b447 + 10858*b199*b448 + 7076*b199*b449 + 9394*b199*b450 + 854*
    b199*b451 + 4270*b199*b452 + 10614*b199*b453 + 4026*b199*b454 + 5856*b199*
    b455 + 8174*b199*b456 + 9272*b199*b457 + 10126*b199*b458 + 244*b199*b459 + 
    7442*b199*b460 + 11712*b199*b461 + 3416*b199*b462 + 122*b199*b464 + 1050*
    b199*b465 + 1350*b199*b466 + 150*b199*b467 + 1850*b199*b468 + 4950*b199*
    b469 + 4450*b199*b470 + 2900*b199*b471 + 3850*b199*b472 + 350*b199*b473 + 
    1750*b199*b474 + 4350*b199*b475 + 1650*b199*b476 + 2400*b199*b477 + 3350*
    b199*b478 + 3800*b199*b479 + 4150*b199*b480 + 100*b199*b481 + 3050*b199*
    b482 + 4800*b199*b483 + 1400*b199*b484 + 50*b199*b486 + 1722*b199*b487 + 
    2214*b199*b488 + 246*b199*b489 + 3034*b199*b490 + 8118*b199*b491 + 7298*
    b199*b492 + 4756*b199*b493 + 6314*b199*b494 + 574*b199*b495 + 2870*b199*
    b496 + 7134*b199*b497 + 2706*b199*b498 + 3936*b199*b499 + 5494*b199*b500 + 
    6232*b199*b501 + 6806*b199*b502 + 164*b199*b503 + 5002*b199*b504 + 7872*
    b199*b505 + 2296*b199*b506 + 82*b199*b508 + 336*b199*b509 + 432*b199*b510
     + 48*b199*b511 + 592*b199*b512 + 1584*b199*b513 + 1424*b199*b514 + 928*
    b199*b515 + 1232*b199*b516 + 112*b199*b517 + 560*b199*b518 + 1392*b199*b519
     + 528*b199*b520 + 768*b199*b521 + 1072*b199*b522 + 1216*b199*b523 + 1328*
    b199*b524 + 32*b199*b525 + 976*b199*b526 + 1536*b199*b527 + 448*b199*b528
     + 16*b199*b530 + 2016*b199*b531 + 1056*b199*b532 + 2280*b199*b533 + 6720*
    b199*b534 + 3520*b199*b535 + 7600*b199*b536 + 168*b199*b537 + 88*b199*b538
     + 190*b199*b539 + 504*b199*b540 + 264*b199*b541 + 570*b199*b542 + 9744*
    b199*b543 + 5104*b199*b544 + 11020*b199*b545 + 168*b199*b546 + 88*b199*b547
     + 190*b199*b548 + 7224*b199*b549 + 3784*b199*b550 + 8170*b199*b551 + 3360*
    b199*b555 + 1760*b199*b556 + 3800*b199*b557 + 13608*b199*b558 + 7128*b199*
    b559 + 15390*b199*b560 + 16632*b199*b561 + 8712*b199*b562 + 18810*b199*b563
     + 7560*b199*b564 + 3960*b199*b565 + 8550*b199*b566 + 9408*b199*b567 + 4928
    *b199*b568 + 10640*b199*b569 + 2520*b199*b570 + 1320*b199*b571 + 2850*b199*
    b572 + 16632*b199*b573 + 8712*b199*b574 + 18810*b199*b575 + 10752*b199*b576
     + 5632*b199*b577 + 12160*b199*b578 + 9576*b199*b579 + 5016*b199*b580 + 
    10830*b199*b581 + 14112*b199*b582 + 7392*b199*b583 + 15960*b199*b584 + 
    13944*b199*b585 + 7304*b199*b586 + 15770*b199*b587 + 10248*b199*b588 + 5368
    *b199*b589 + 11590*b199*b590 + 4200*b199*b591 + 2200*b199*b592 + 4750*b199*
    b593 + 6888*b199*b594 + 3608*b199*b595 + 7790*b199*b596 + 1344*b199*b597 + 
    704*b199*b598 + 1520*b199*b599 + 4428*b199*b600 + 492*b199*b601 + 6068*b199
    *b602 + 16236*b199*b603 + 14596*b199*b604 + 9512*b199*b605 + 12628*b199*
    b606 + 1148*b199*b607 + 5740*b199*b608 + 14268*b199*b609 + 5412*b199*b610
     + 7872*b199*b611 + 10988*b199*b612 + 12464*b199*b613 + 7216*b199*b614 + 
    13612*b199*b615 + 328*b199*b616 + 10004*b199*b617 + 15744*b199*b618 + 4592*
    b199*b619 + 164*b199*b621 + 15580*b199*b622 + 3444*b199*b623 + 3528*b199*
    b624 + 1848*b199*b625 + 3990*b199*b626 + 2840*b200*b201 + 3400*b200*b202 + 
    1920*b200*b203 + 1040*b200*b204 + 2400*b200*b205 + 1760*b200*b206 + 1200*
    b200*b207 + 2000*b200*b208 + 1960*b200*b209 + 120*b200*b210 + 2720*b200*
    b211 + 1400*b200*b212 + 2480*b200*b213 + 1560*b200*b214 + 2640*b200*b215 + 
    3640*b200*b216 + 1720*b200*b217 + 200*b200*b218 + 3280*b200*b219 + 1240*
    b200*b220 + 40*b200*b221 + 11502*b200*b223 + 13770*b200*b224 + 7776*b200*
    b225 + 4212*b200*b226 + 9720*b200*b227 + 7128*b200*b228 + 4860*b200*b229 + 
    8100*b200*b230 + 7938*b200*b231 + 486*b200*b232 + 11016*b200*b233 + 5670*
    b200*b234 + 10044*b200*b235 + 6318*b200*b236 + 10692*b200*b237 + 14742*b200
    *b238 + 6966*b200*b239 + 810*b200*b240 + 13284*b200*b241 + 5022*b200*b242
     + 162*b200*b243 + 14058*b200*b245 + 16830*b200*b246 + 9504*b200*b247 + 
    5148*b200*b248 + 11880*b200*b249 + 8712*b200*b250 + 5940*b200*b251 + 9900*
    b200*b252 + 9702*b200*b253 + 594*b200*b254 + 13464*b200*b255 + 6930*b200*
    b256 + 12276*b200*b257 + 7722*b200*b258 + 13068*b200*b259 + 18018*b200*b260
     + 8514*b200*b261 + 990*b200*b262 + 16236*b200*b263 + 6138*b200*b264 + 198*
    b200*b265 + 6390*b200*b267 + 7650*b200*b268 + 4320*b200*b269 + 2340*b200*
    b270 + 5400*b200*b271 + 3960*b200*b272 + 2700*b200*b273 + 4500*b200*b274 + 
    4410*b200*b275 + 270*b200*b276 + 6120*b200*b277 + 3150*b200*b278 + 5580*
    b200*b279 + 3510*b200*b280 + 5940*b200*b281 + 8190*b200*b282 + 3870*b200*
    b283 + 450*b200*b284 + 7380*b200*b285 + 2790*b200*b286 + 90*b200*b287 + 
    7952*b200*b289 + 9520*b200*b290 + 5376*b200*b291 + 2912*b200*b292 + 6720*
    b200*b293 + 4928*b200*b294 + 3360*b200*b295 + 5600*b200*b296 + 5488*b200*
    b297 + 336*b200*b298 + 7616*b200*b299 + 3920*b200*b300 + 6944*b200*b301 + 
    4368*b200*b302 + 7392*b200*b303 + 10192*b200*b304 + 4816*b200*b305 + 560*
    b200*b306 + 9184*b200*b307 + 3472*b200*b308 + 112*b200*b309 + 2130*b200*
    b311 + 2550*b200*b312 + 1440*b200*b313 + 780*b200*b314 + 1800*b200*b315 + 
    1320*b200*b316 + 900*b200*b317 + 1500*b200*b318 + 1470*b200*b319 + 90*b200*
    b320 + 2040*b200*b321 + 1050*b200*b322 + 1860*b200*b323 + 1170*b200*b324 + 
    1980*b200*b325 + 2730*b200*b326 + 1290*b200*b327 + 150*b200*b328 + 2460*
    b200*b329 + 930*b200*b330 + 30*b200*b331 + 14058*b200*b333 + 16830*b200*
    b334 + 9504*b200*b335 + 5148*b200*b336 + 11880*b200*b337 + 8712*b200*b338
     + 5940*b200*b339 + 9900*b200*b340 + 9702*b200*b341 + 594*b200*b342 + 13464
    *b200*b343 + 6930*b200*b344 + 12276*b200*b345 + 7722*b200*b346 + 13068*b200
    *b347 + 18018*b200*b348 + 8514*b200*b349 + 990*b200*b350 + 16236*b200*b351
     + 6138*b200*b352 + 198*b200*b353 + 9088*b200*b355 + 10880*b200*b356 + 6144
    *b200*b357 + 3328*b200*b358 + 7680*b200*b359 + 5632*b200*b360 + 3840*b200*
    b361 + 6400*b200*b362 + 6272*b200*b363 + 384*b200*b364 + 8704*b200*b365 + 
    4480*b200*b366 + 7936*b200*b367 + 4992*b200*b368 + 8448*b200*b369 + 11648*
    b200*b370 + 5504*b200*b371 + 640*b200*b372 + 10496*b200*b373 + 3968*b200*
    b374 + 128*b200*b375 + 8094*b200*b377 + 9690*b200*b378 + 5472*b200*b379 + 
    2964*b200*b380 + 6840*b200*b381 + 5016*b200*b382 + 3420*b200*b383 + 5700*
    b200*b384 + 5586*b200*b385 + 342*b200*b386 + 7752*b200*b387 + 3990*b200*
    b388 + 7068*b200*b389 + 4446*b200*b390 + 7524*b200*b391 + 10374*b200*b392
     + 4902*b200*b393 + 570*b200*b394 + 9348*b200*b395 + 3534*b200*b396 + 114*
    b200*b397 + 11928*b200*b399 + 14280*b200*b400 + 8064*b200*b401 + 4368*b200*
    b402 + 10080*b200*b403 + 7392*b200*b404 + 5040*b200*b405 + 8400*b200*b406
     + 8232*b200*b407 + 504*b200*b408 + 11424*b200*b409 + 5880*b200*b410 + 
    10416*b200*b411 + 6552*b200*b412 + 11088*b200*b413 + 15288*b200*b414 + 7224
    *b200*b415 + 840*b200*b416 + 13776*b200*b417 + 5208*b200*b418 + 168*b200*
    b419 + 11786*b200*b421 + 14110*b200*b422 + 7968*b200*b423 + 4316*b200*b424
     + 9960*b200*b425 + 7304*b200*b426 + 4980*b200*b427 + 8300*b200*b428 + 8134
    *b200*b429 + 498*b200*b430 + 11288*b200*b431 + 5810*b200*b432 + 10292*b200*
    b433 + 6474*b200*b434 + 10956*b200*b435 + 15106*b200*b436 + 7138*b200*b437
     + 830*b200*b438 + 13612*b200*b439 + 5146*b200*b440 + 166*b200*b441 + 8662*
    b200*b443 + 10370*b200*b444 + 5856*b200*b445 + 3172*b200*b446 + 7320*b200*
    b447 + 5368*b200*b448 + 3660*b200*b449 + 6100*b200*b450 + 5978*b200*b451 + 
    366*b200*b452 + 8296*b200*b453 + 4270*b200*b454 + 7564*b200*b455 + 4758*
    b200*b456 + 8052*b200*b457 + 11102*b200*b458 + 5246*b200*b459 + 610*b200*
    b460 + 10004*b200*b461 + 3782*b200*b462 + 122*b200*b463 + 3550*b200*b465 + 
    4250*b200*b466 + 2400*b200*b467 + 1300*b200*b468 + 3000*b200*b469 + 2200*
    b200*b470 + 1500*b200*b471 + 2500*b200*b472 + 2450*b200*b473 + 150*b200*
    b474 + 3400*b200*b475 + 1750*b200*b476 + 3100*b200*b477 + 1950*b200*b478 + 
    3300*b200*b479 + 4550*b200*b480 + 2150*b200*b481 + 250*b200*b482 + 4100*
    b200*b483 + 1550*b200*b484 + 50*b200*b485 + 5822*b200*b487 + 6970*b200*b488
     + 3936*b200*b489 + 2132*b200*b490 + 4920*b200*b491 + 3608*b200*b492 + 2460
    *b200*b493 + 4100*b200*b494 + 4018*b200*b495 + 246*b200*b496 + 5576*b200*
    b497 + 2870*b200*b498 + 5084*b200*b499 + 3198*b200*b500 + 5412*b200*b501 + 
    7462*b200*b502 + 3526*b200*b503 + 410*b200*b504 + 6724*b200*b505 + 2542*
    b200*b506 + 82*b200*b507 + 1136*b200*b509 + 1360*b200*b510 + 768*b200*b511
     + 416*b200*b512 + 960*b200*b513 + 704*b200*b514 + 480*b200*b515 + 800*b200
    *b516 + 784*b200*b517 + 48*b200*b518 + 1088*b200*b519 + 560*b200*b520 + 992
    *b200*b521 + 624*b200*b522 + 1056*b200*b523 + 1456*b200*b524 + 688*b200*
    b525 + 80*b200*b526 + 1312*b200*b527 + 496*b200*b528 + 16*b200*b529 + 288*
    b200*b531 + 624*b200*b532 + 168*b200*b533 + 960*b200*b534 + 2080*b200*b535
     + 560*b200*b536 + 24*b200*b537 + 52*b200*b538 + 14*b200*b539 + 72*b200*
    b540 + 156*b200*b541 + 42*b200*b542 + 1392*b200*b543 + 3016*b200*b544 + 812
    *b200*b545 + 24*b200*b546 + 52*b200*b547 + 14*b200*b548 + 1032*b200*b549 + 
    2236*b200*b550 + 602*b200*b551 + 480*b200*b555 + 1040*b200*b556 + 280*b200*
    b557 + 1944*b200*b558 + 4212*b200*b559 + 1134*b200*b560 + 2376*b200*b561 + 
    5148*b200*b562 + 1386*b200*b563 + 1080*b200*b564 + 2340*b200*b565 + 630*
    b200*b566 + 1344*b200*b567 + 2912*b200*b568 + 784*b200*b569 + 360*b200*b570
     + 780*b200*b571 + 210*b200*b572 + 2376*b200*b573 + 5148*b200*b574 + 1386*
    b200*b575 + 1536*b200*b576 + 3328*b200*b577 + 896*b200*b578 + 1368*b200*
    b579 + 2964*b200*b580 + 798*b200*b581 + 2016*b200*b582 + 4368*b200*b583 + 
    1176*b200*b584 + 1992*b200*b585 + 4316*b200*b586 + 1162*b200*b587 + 1464*
    b200*b588 + 3172*b200*b589 + 854*b200*b590 + 600*b200*b591 + 1300*b200*b592
     + 350*b200*b593 + 984*b200*b594 + 2132*b200*b595 + 574*b200*b596 + 192*
    b200*b597 + 416*b200*b598 + 112*b200*b599 + 13940*b200*b600 + 7872*b200*
    b601 + 4264*b200*b602 + 9840*b200*b603 + 7216*b200*b604 + 4920*b200*b605 + 
    8200*b200*b606 + 8036*b200*b607 + 492*b200*b608 + 11152*b200*b609 + 5740*
    b200*b610 + 10168*b200*b611 + 6396*b200*b612 + 10824*b200*b613 + 4264*b200*
    b614 + 14924*b200*b615 + 7052*b200*b616 + 820*b200*b617 + 13448*b200*b618
     + 5084*b200*b619 + 164*b200*b620 + 1148*b200*b622 + 11644*b200*b623 + 504*
    b200*b624 + 1092*b200*b625 + 294*b200*b626 + 2392*b201*b224 + 8372*b201*
    b225 + 1012*b201*b226 + 3220*b201*b227 + 7544*b201*b228 + 2392*b201*b229 + 
    6348*b201*b230 + 5152*b201*b231 + 7912*b201*b232 + 4140*b201*b233 + 8372*
    b201*b234 + 5428*b201*b235 + 1656*b201*b236 + 6992*b201*b237 + 1656*b201*
    b238 + 5244*b201*b239 + 3312*b201*b240 + 5612*b201*b241 + 3312*b201*b242 + 
    1932*b201*b243 + 6532*b201*b244 + 2704*b201*b246 + 9464*b201*b247 + 1144*
    b201*b248 + 3640*b201*b249 + 8528*b201*b250 + 2704*b201*b251 + 7176*b201*
    b252 + 5824*b201*b253 + 8944*b201*b254 + 4680*b201*b255 + 9464*b201*b256 + 
    6136*b201*b257 + 1872*b201*b258 + 7904*b201*b259 + 1872*b201*b260 + 5928*
    b201*b261 + 3744*b201*b262 + 6344*b201*b263 + 3744*b201*b264 + 2184*b201*
    b265 + 7384*b201*b266 + 1144*b201*b268 + 4004*b201*b269 + 484*b201*b270 + 
    1540*b201*b271 + 3608*b201*b272 + 1144*b201*b273 + 3036*b201*b274 + 2464*
    b201*b275 + 3784*b201*b276 + 1980*b201*b277 + 4004*b201*b278 + 2596*b201*
    b279 + 792*b201*b280 + 3344*b201*b281 + 792*b201*b282 + 2508*b201*b283 + 
    1584*b201*b284 + 2684*b201*b285 + 1584*b201*b286 + 924*b201*b287 + 3124*
    b201*b288 + 1716*b201*b290 + 6006*b201*b291 + 726*b201*b292 + 2310*b201*
    b293 + 5412*b201*b294 + 1716*b201*b295 + 4554*b201*b296 + 3696*b201*b297 + 
    5676*b201*b298 + 2970*b201*b299 + 6006*b201*b300 + 3894*b201*b301 + 1188*
    b201*b302 + 5016*b201*b303 + 1188*b201*b304 + 3762*b201*b305 + 2376*b201*
    b306 + 4026*b201*b307 + 2376*b201*b308 + 1386*b201*b309 + 4686*b201*b310 + 
    3536*b201*b312 + 12376*b201*b313 + 1496*b201*b314 + 4760*b201*b315 + 11152*
    b201*b316 + 3536*b201*b317 + 9384*b201*b318 + 7616*b201*b319 + 11696*b201*
    b320 + 6120*b201*b321 + 12376*b201*b322 + 8024*b201*b323 + 2448*b201*b324
     + 10336*b201*b325 + 2448*b201*b326 + 7752*b201*b327 + 4896*b201*b328 + 
    8296*b201*b329 + 4896*b201*b330 + 2856*b201*b331 + 9656*b201*b332 + 2704*
    b201*b334 + 9464*b201*b335 + 1144*b201*b336 + 3640*b201*b337 + 8528*b201*
    b338 + 2704*b201*b339 + 7176*b201*b340 + 5824*b201*b341 + 8944*b201*b342 + 
    4680*b201*b343 + 9464*b201*b344 + 6136*b201*b345 + 1872*b201*b346 + 7904*
    b201*b347 + 1872*b201*b348 + 5928*b201*b349 + 3744*b201*b350 + 6344*b201*
    b351 + 3744*b201*b352 + 2184*b201*b353 + 7384*b201*b354 + 1456*b201*b356 + 
    5096*b201*b357 + 616*b201*b358 + 1960*b201*b359 + 4592*b201*b360 + 1456*
    b201*b361 + 3864*b201*b362 + 3136*b201*b363 + 4816*b201*b364 + 2520*b201*
    b365 + 5096*b201*b366 + 3304*b201*b367 + 1008*b201*b368 + 4256*b201*b369 + 
    1008*b201*b370 + 3192*b201*b371 + 2016*b201*b372 + 3416*b201*b373 + 2016*
    b201*b374 + 1176*b201*b375 + 3976*b201*b376 + 3900*b201*b378 + 13650*b201*
    b379 + 1650*b201*b380 + 5250*b201*b381 + 12300*b201*b382 + 3900*b201*b383
     + 10350*b201*b384 + 8400*b201*b385 + 12900*b201*b386 + 6750*b201*b387 + 
    13650*b201*b388 + 8850*b201*b389 + 2700*b201*b390 + 11400*b201*b391 + 2700*
    b201*b392 + 8550*b201*b393 + 5400*b201*b394 + 9150*b201*b395 + 5400*b201*
    b396 + 3150*b201*b397 + 10650*b201*b398 + 5148*b201*b400 + 18018*b201*b401
     + 2178*b201*b402 + 6930*b201*b403 + 16236*b201*b404 + 5148*b201*b405 + 
    13662*b201*b406 + 11088*b201*b407 + 17028*b201*b408 + 8910*b201*b409 + 
    18018*b201*b410 + 11682*b201*b411 + 3564*b201*b412 + 15048*b201*b413 + 3564
    *b201*b414 + 11286*b201*b415 + 7128*b201*b416 + 12078*b201*b417 + 7128*b201
    *b418 + 4158*b201*b419 + 14058*b201*b420 + 312*b201*b422 + 1092*b201*b423
     + 132*b201*b424 + 420*b201*b425 + 984*b201*b426 + 312*b201*b427 + 828*b201
    *b428 + 672*b201*b429 + 1032*b201*b430 + 540*b201*b431 + 1092*b201*b432 + 
    708*b201*b433 + 216*b201*b434 + 912*b201*b435 + 216*b201*b436 + 684*b201*
    b437 + 432*b201*b438 + 732*b201*b439 + 432*b201*b440 + 252*b201*b441 + 852*
    b201*b442 + 4420*b201*b444 + 15470*b201*b445 + 1870*b201*b446 + 5950*b201*
    b447 + 13940*b201*b448 + 4420*b201*b449 + 11730*b201*b450 + 9520*b201*b451
     + 14620*b201*b452 + 7650*b201*b453 + 15470*b201*b454 + 10030*b201*b455 + 
    3060*b201*b456 + 12920*b201*b457 + 3060*b201*b458 + 9690*b201*b459 + 6120*
    b201*b460 + 10370*b201*b461 + 6120*b201*b462 + 3570*b201*b463 + 12070*b201*
    b464 + 3380*b201*b466 + 11830*b201*b467 + 1430*b201*b468 + 4550*b201*b469
     + 10660*b201*b470 + 3380*b201*b471 + 8970*b201*b472 + 7280*b201*b473 + 
    11180*b201*b474 + 5850*b201*b475 + 11830*b201*b476 + 7670*b201*b477 + 2340*
    b201*b478 + 9880*b201*b479 + 2340*b201*b480 + 7410*b201*b481 + 4680*b201*
    b482 + 7930*b201*b483 + 4680*b201*b484 + 2730*b201*b485 + 9230*b201*b486 + 
    2444*b201*b488 + 8554*b201*b489 + 1034*b201*b490 + 3290*b201*b491 + 7708*
    b201*b492 + 2444*b201*b493 + 6486*b201*b494 + 5264*b201*b495 + 8084*b201*
    b496 + 4230*b201*b497 + 8554*b201*b498 + 5546*b201*b499 + 1692*b201*b500 + 
    7144*b201*b501 + 1692*b201*b502 + 5358*b201*b503 + 3384*b201*b504 + 5734*
    b201*b505 + 3384*b201*b506 + 1974*b201*b507 + 6674*b201*b508 + 4680*b201*
    b510 + 16380*b201*b511 + 1980*b201*b512 + 6300*b201*b513 + 14760*b201*b514
     + 4680*b201*b515 + 12420*b201*b516 + 10080*b201*b517 + 15480*b201*b518 + 
    8100*b201*b519 + 16380*b201*b520 + 10620*b201*b521 + 3240*b201*b522 + 13680
    *b201*b523 + 3240*b201*b524 + 10260*b201*b525 + 6480*b201*b526 + 10980*b201
    *b527 + 6480*b201*b528 + 3780*b201*b529 + 12780*b201*b530 + 462*b201*b531
     + 858*b201*b532 + 242*b201*b533 + 3906*b201*b534 + 7254*b201*b535 + 2046*
    b201*b536 + 924*b201*b537 + 1716*b201*b538 + 484*b201*b539 + 3024*b201*b540
     + 5616*b201*b541 + 1584*b201*b542 + 1764*b201*b543 + 3276*b201*b544 + 924*
    b201*b545 + 2982*b201*b546 + 5538*b201*b547 + 1562*b201*b548 + 3948*b201*
    b549 + 7332*b201*b550 + 2068*b201*b551 + 840*b201*b552 + 1560*b201*b553 + 
    440*b201*b554 + 1932*b201*b558 + 3588*b201*b559 + 1012*b201*b560 + 2184*
    b201*b561 + 4056*b201*b562 + 1144*b201*b563 + 924*b201*b564 + 1716*b201*
    b565 + 484*b201*b566 + 1386*b201*b567 + 2574*b201*b568 + 726*b201*b569 + 
    2856*b201*b570 + 5304*b201*b571 + 1496*b201*b572 + 2184*b201*b573 + 4056*
    b201*b574 + 1144*b201*b575 + 1176*b201*b576 + 2184*b201*b577 + 616*b201*
    b578 + 3150*b201*b579 + 5850*b201*b580 + 1650*b201*b581 + 4158*b201*b582 + 
    7722*b201*b583 + 2178*b201*b584 + 252*b201*b585 + 468*b201*b586 + 132*b201*
    b587 + 3570*b201*b588 + 6630*b201*b589 + 1870*b201*b590 + 2730*b201*b591 + 
    5070*b201*b592 + 1430*b201*b593 + 1974*b201*b594 + 3666*b201*b595 + 1034*
    b201*b596 + 3780*b201*b597 + 7020*b201*b598 + 1980*b201*b599 + 4836*b201*
    b600 + 16926*b201*b601 + 2046*b201*b602 + 6510*b201*b603 + 15252*b201*b604
     + 4836*b201*b605 + 12834*b201*b606 + 10416*b201*b607 + 15996*b201*b608 + 
    8370*b201*b609 + 16926*b201*b610 + 10974*b201*b611 + 3348*b201*b612 + 14136
    *b201*b613 + 7254*b201*b614 + 3348*b201*b615 + 10602*b201*b616 + 6696*b201*
    b617 + 11346*b201*b618 + 6696*b201*b619 + 3906*b201*b620 + 13206*b201*b621
     + 2046*b201*b622 + 1554*b201*b624 + 2886*b201*b625 + 814*b201*b626 + 2392*
    b202*b223 + 2668*b202*b225 + 7544*b202*b226 + 7544*b202*b227 + 552*b202*
    b228 + 6532*b202*b229 + 736*b202*b230 + 7084*b202*b231 + 6808*b202*b232 + 
    2760*b202*b233 + 8188*b202*b234 + 6992*b202*b235 + 6992*b202*b236 + 3680*
    b202*b237 + 5152*b202*b238 + 92*b202*b239 + 4600*b202*b240 + 368*b202*b241
     + 3312*b202*b242 + 2484*b202*b243 + 7820*b202*b244 + 2704*b202*b245 + 3016
    *b202*b247 + 8528*b202*b248 + 8528*b202*b249 + 624*b202*b250 + 7384*b202*
    b251 + 832*b202*b252 + 8008*b202*b253 + 7696*b202*b254 + 3120*b202*b255 + 
    9256*b202*b256 + 7904*b202*b257 + 7904*b202*b258 + 4160*b202*b259 + 5824*
    b202*b260 + 104*b202*b261 + 5200*b202*b262 + 416*b202*b263 + 3744*b202*b264
     + 2808*b202*b265 + 8840*b202*b266 + 1144*b202*b267 + 1276*b202*b269 + 3608
    *b202*b270 + 3608*b202*b271 + 264*b202*b272 + 3124*b202*b273 + 352*b202*
    b274 + 3388*b202*b275 + 3256*b202*b276 + 1320*b202*b277 + 3916*b202*b278 + 
    3344*b202*b279 + 3344*b202*b280 + 1760*b202*b281 + 2464*b202*b282 + 44*b202
    *b283 + 2200*b202*b284 + 176*b202*b285 + 1584*b202*b286 + 1188*b202*b287 + 
    3740*b202*b288 + 1716*b202*b289 + 1914*b202*b291 + 5412*b202*b292 + 5412*
    b202*b293 + 396*b202*b294 + 4686*b202*b295 + 528*b202*b296 + 5082*b202*b297
     + 4884*b202*b298 + 1980*b202*b299 + 5874*b202*b300 + 5016*b202*b301 + 5016
    *b202*b302 + 2640*b202*b303 + 3696*b202*b304 + 66*b202*b305 + 3300*b202*
    b306 + 264*b202*b307 + 2376*b202*b308 + 1782*b202*b309 + 5610*b202*b310 + 
    3536*b202*b311 + 3944*b202*b313 + 11152*b202*b314 + 11152*b202*b315 + 816*
    b202*b316 + 9656*b202*b317 + 1088*b202*b318 + 10472*b202*b319 + 10064*b202*
    b320 + 4080*b202*b321 + 12104*b202*b322 + 10336*b202*b323 + 10336*b202*b324
     + 5440*b202*b325 + 7616*b202*b326 + 136*b202*b327 + 6800*b202*b328 + 544*
    b202*b329 + 4896*b202*b330 + 3672*b202*b331 + 11560*b202*b332 + 2704*b202*
    b333 + 3016*b202*b335 + 8528*b202*b336 + 8528*b202*b337 + 624*b202*b338 + 
    7384*b202*b339 + 832*b202*b340 + 8008*b202*b341 + 7696*b202*b342 + 3120*
    b202*b343 + 9256*b202*b344 + 7904*b202*b345 + 7904*b202*b346 + 4160*b202*
    b347 + 5824*b202*b348 + 104*b202*b349 + 5200*b202*b350 + 416*b202*b351 + 
    3744*b202*b352 + 2808*b202*b353 + 8840*b202*b354 + 1456*b202*b355 + 1624*
    b202*b357 + 4592*b202*b358 + 4592*b202*b359 + 336*b202*b360 + 3976*b202*
    b361 + 448*b202*b362 + 4312*b202*b363 + 4144*b202*b364 + 1680*b202*b365 + 
    4984*b202*b366 + 4256*b202*b367 + 4256*b202*b368 + 2240*b202*b369 + 3136*
    b202*b370 + 56*b202*b371 + 2800*b202*b372 + 224*b202*b373 + 2016*b202*b374
     + 1512*b202*b375 + 4760*b202*b376 + 3900*b202*b377 + 4350*b202*b379 + 
    12300*b202*b380 + 12300*b202*b381 + 900*b202*b382 + 10650*b202*b383 + 1200*
    b202*b384 + 11550*b202*b385 + 11100*b202*b386 + 4500*b202*b387 + 13350*b202
    *b388 + 11400*b202*b389 + 11400*b202*b390 + 6000*b202*b391 + 8400*b202*b392
     + 150*b202*b393 + 7500*b202*b394 + 600*b202*b395 + 5400*b202*b396 + 4050*
    b202*b397 + 12750*b202*b398 + 5148*b202*b399 + 5742*b202*b401 + 16236*b202*
    b402 + 16236*b202*b403 + 1188*b202*b404 + 14058*b202*b405 + 1584*b202*b406
     + 15246*b202*b407 + 14652*b202*b408 + 5940*b202*b409 + 17622*b202*b410 + 
    15048*b202*b411 + 15048*b202*b412 + 7920*b202*b413 + 11088*b202*b414 + 198*
    b202*b415 + 9900*b202*b416 + 792*b202*b417 + 7128*b202*b418 + 5346*b202*
    b419 + 16830*b202*b420 + 312*b202*b421 + 348*b202*b423 + 984*b202*b424 + 
    984*b202*b425 + 72*b202*b426 + 852*b202*b427 + 96*b202*b428 + 924*b202*b429
     + 888*b202*b430 + 360*b202*b431 + 1068*b202*b432 + 912*b202*b433 + 912*
    b202*b434 + 480*b202*b435 + 672*b202*b436 + 12*b202*b437 + 600*b202*b438 + 
    48*b202*b439 + 432*b202*b440 + 324*b202*b441 + 1020*b202*b442 + 4420*b202*
    b443 + 4930*b202*b445 + 13940*b202*b446 + 13940*b202*b447 + 1020*b202*b448
     + 12070*b202*b449 + 1360*b202*b450 + 13090*b202*b451 + 12580*b202*b452 + 
    5100*b202*b453 + 15130*b202*b454 + 12920*b202*b455 + 12920*b202*b456 + 6800
    *b202*b457 + 9520*b202*b458 + 170*b202*b459 + 8500*b202*b460 + 680*b202*
    b461 + 6120*b202*b462 + 4590*b202*b463 + 14450*b202*b464 + 3380*b202*b465
     + 3770*b202*b467 + 10660*b202*b468 + 10660*b202*b469 + 780*b202*b470 + 
    9230*b202*b471 + 1040*b202*b472 + 10010*b202*b473 + 9620*b202*b474 + 3900*
    b202*b475 + 11570*b202*b476 + 9880*b202*b477 + 9880*b202*b478 + 5200*b202*
    b479 + 7280*b202*b480 + 130*b202*b481 + 6500*b202*b482 + 520*b202*b483 + 
    4680*b202*b484 + 3510*b202*b485 + 11050*b202*b486 + 2444*b202*b487 + 2726*
    b202*b489 + 7708*b202*b490 + 7708*b202*b491 + 564*b202*b492 + 6674*b202*
    b493 + 752*b202*b494 + 7238*b202*b495 + 6956*b202*b496 + 2820*b202*b497 + 
    8366*b202*b498 + 7144*b202*b499 + 7144*b202*b500 + 3760*b202*b501 + 5264*
    b202*b502 + 94*b202*b503 + 4700*b202*b504 + 376*b202*b505 + 3384*b202*b506
     + 2538*b202*b507 + 7990*b202*b508 + 4680*b202*b509 + 5220*b202*b511 + 
    14760*b202*b512 + 14760*b202*b513 + 1080*b202*b514 + 12780*b202*b515 + 1440
    *b202*b516 + 13860*b202*b517 + 13320*b202*b518 + 5400*b202*b519 + 16020*
    b202*b520 + 13680*b202*b521 + 13680*b202*b522 + 7200*b202*b523 + 10080*b202
    *b524 + 180*b202*b525 + 9000*b202*b526 + 720*b202*b527 + 6480*b202*b528 + 
    4860*b202*b529 + 15300*b202*b530 + 2090*b202*b531 + 2046*b202*b532 + 44*
    b202*b533 + 17670*b202*b534 + 17298*b202*b535 + 372*b202*b536 + 4180*b202*
    b537 + 4092*b202*b538 + 88*b202*b539 + 13680*b202*b540 + 13392*b202*b541 + 
    288*b202*b542 + 7980*b202*b543 + 7812*b202*b544 + 168*b202*b545 + 13490*
    b202*b546 + 13206*b202*b547 + 284*b202*b548 + 17860*b202*b549 + 17484*b202*
    b550 + 376*b202*b551 + 3800*b202*b552 + 3720*b202*b553 + 80*b202*b554 + 
    8740*b202*b558 + 8556*b202*b559 + 184*b202*b560 + 9880*b202*b561 + 9672*
    b202*b562 + 208*b202*b563 + 4180*b202*b564 + 4092*b202*b565 + 88*b202*b566
     + 6270*b202*b567 + 6138*b202*b568 + 132*b202*b569 + 12920*b202*b570 + 
    12648*b202*b571 + 272*b202*b572 + 9880*b202*b573 + 9672*b202*b574 + 208*
    b202*b575 + 5320*b202*b576 + 5208*b202*b577 + 112*b202*b578 + 14250*b202*
    b579 + 13950*b202*b580 + 300*b202*b581 + 18810*b202*b582 + 18414*b202*b583
     + 396*b202*b584 + 1140*b202*b585 + 1116*b202*b586 + 24*b202*b587 + 16150*
    b202*b588 + 15810*b202*b589 + 340*b202*b590 + 12350*b202*b591 + 12090*b202*
    b592 + 260*b202*b593 + 8930*b202*b594 + 8742*b202*b595 + 188*b202*b596 + 
    17100*b202*b597 + 16740*b202*b598 + 360*b202*b599 + 5394*b202*b601 + 15252*
    b202*b602 + 15252*b202*b603 + 1116*b202*b604 + 13206*b202*b605 + 1488*b202*
    b606 + 14322*b202*b607 + 13764*b202*b608 + 5580*b202*b609 + 16554*b202*b610
     + 14136*b202*b611 + 14136*b202*b612 + 7440*b202*b613 + 17298*b202*b614 + 
    10416*b202*b615 + 186*b202*b616 + 9300*b202*b617 + 744*b202*b618 + 6696*
    b202*b619 + 5022*b202*b620 + 15810*b202*b621 + 372*b202*b622 + 4836*b202*
    b623 + 7030*b202*b624 + 6882*b202*b625 + 148*b202*b626 + 8372*b203*b223 + 
    2668*b203*b224 + 92*b203*b226 + 1380*b203*b227 + 1012*b203*b228 + 3220*b203
    *b229 + 1012*b203*b230 + 1840*b203*b231 + 1932*b203*b232 + 5612*b203*b233
     + 7360*b203*b234 + 5336*b203*b235 + 1932*b203*b236 + 6992*b203*b237 + 4048
    *b203*b238 + 7820*b203*b239 + 8648*b203*b240 + 8280*b203*b241 + 4692*b203*
    b242 + 276*b203*b243 + 4416*b203*b244 + 9464*b203*b245 + 3016*b203*b246 + 
    104*b203*b248 + 1560*b203*b249 + 1144*b203*b250 + 3640*b203*b251 + 1144*
    b203*b252 + 2080*b203*b253 + 2184*b203*b254 + 6344*b203*b255 + 8320*b203*
    b256 + 6032*b203*b257 + 2184*b203*b258 + 7904*b203*b259 + 4576*b203*b260 + 
    8840*b203*b261 + 9776*b203*b262 + 9360*b203*b263 + 5304*b203*b264 + 312*
    b203*b265 + 4992*b203*b266 + 4004*b203*b267 + 1276*b203*b268 + 44*b203*b270
     + 660*b203*b271 + 484*b203*b272 + 1540*b203*b273 + 484*b203*b274 + 880*
    b203*b275 + 924*b203*b276 + 2684*b203*b277 + 3520*b203*b278 + 2552*b203*
    b279 + 924*b203*b280 + 3344*b203*b281 + 1936*b203*b282 + 3740*b203*b283 + 
    4136*b203*b284 + 3960*b203*b285 + 2244*b203*b286 + 132*b203*b287 + 2112*
    b203*b288 + 6006*b203*b289 + 1914*b203*b290 + 66*b203*b292 + 990*b203*b293
     + 726*b203*b294 + 2310*b203*b295 + 726*b203*b296 + 1320*b203*b297 + 1386*
    b203*b298 + 4026*b203*b299 + 5280*b203*b300 + 3828*b203*b301 + 1386*b203*
    b302 + 5016*b203*b303 + 2904*b203*b304 + 5610*b203*b305 + 6204*b203*b306 + 
    5940*b203*b307 + 3366*b203*b308 + 198*b203*b309 + 3168*b203*b310 + 12376*
    b203*b311 + 3944*b203*b312 + 136*b203*b314 + 2040*b203*b315 + 1496*b203*
    b316 + 4760*b203*b317 + 1496*b203*b318 + 2720*b203*b319 + 2856*b203*b320 + 
    8296*b203*b321 + 10880*b203*b322 + 7888*b203*b323 + 2856*b203*b324 + 10336*
    b203*b325 + 5984*b203*b326 + 11560*b203*b327 + 12784*b203*b328 + 12240*b203
    *b329 + 6936*b203*b330 + 408*b203*b331 + 6528*b203*b332 + 9464*b203*b333 + 
    3016*b203*b334 + 104*b203*b336 + 1560*b203*b337 + 1144*b203*b338 + 3640*
    b203*b339 + 1144*b203*b340 + 2080*b203*b341 + 2184*b203*b342 + 6344*b203*
    b343 + 8320*b203*b344 + 6032*b203*b345 + 2184*b203*b346 + 7904*b203*b347 + 
    4576*b203*b348 + 8840*b203*b349 + 9776*b203*b350 + 9360*b203*b351 + 5304*
    b203*b352 + 312*b203*b353 + 4992*b203*b354 + 5096*b203*b355 + 1624*b203*
    b356 + 56*b203*b358 + 840*b203*b359 + 616*b203*b360 + 1960*b203*b361 + 616*
    b203*b362 + 1120*b203*b363 + 1176*b203*b364 + 3416*b203*b365 + 4480*b203*
    b366 + 3248*b203*b367 + 1176*b203*b368 + 4256*b203*b369 + 2464*b203*b370 + 
    4760*b203*b371 + 5264*b203*b372 + 5040*b203*b373 + 2856*b203*b374 + 168*
    b203*b375 + 2688*b203*b376 + 13650*b203*b377 + 4350*b203*b378 + 150*b203*
    b380 + 2250*b203*b381 + 1650*b203*b382 + 5250*b203*b383 + 1650*b203*b384 + 
    3000*b203*b385 + 3150*b203*b386 + 9150*b203*b387 + 12000*b203*b388 + 8700*
    b203*b389 + 3150*b203*b390 + 11400*b203*b391 + 6600*b203*b392 + 12750*b203*
    b393 + 14100*b203*b394 + 13500*b203*b395 + 7650*b203*b396 + 450*b203*b397
     + 7200*b203*b398 + 18018*b203*b399 + 5742*b203*b400 + 198*b203*b402 + 2970
    *b203*b403 + 2178*b203*b404 + 6930*b203*b405 + 2178*b203*b406 + 3960*b203*
    b407 + 4158*b203*b408 + 12078*b203*b409 + 15840*b203*b410 + 11484*b203*b411
     + 4158*b203*b412 + 15048*b203*b413 + 8712*b203*b414 + 16830*b203*b415 + 
    18612*b203*b416 + 17820*b203*b417 + 10098*b203*b418 + 594*b203*b419 + 9504*
    b203*b420 + 1092*b203*b421 + 348*b203*b422 + 12*b203*b424 + 180*b203*b425
     + 132*b203*b426 + 420*b203*b427 + 132*b203*b428 + 240*b203*b429 + 252*b203
    *b430 + 732*b203*b431 + 960*b203*b432 + 696*b203*b433 + 252*b203*b434 + 912
    *b203*b435 + 528*b203*b436 + 1020*b203*b437 + 1128*b203*b438 + 1080*b203*
    b439 + 612*b203*b440 + 36*b203*b441 + 576*b203*b442 + 15470*b203*b443 + 
    4930*b203*b444 + 170*b203*b446 + 2550*b203*b447 + 1870*b203*b448 + 5950*
    b203*b449 + 1870*b203*b450 + 3400*b203*b451 + 3570*b203*b452 + 10370*b203*
    b453 + 13600*b203*b454 + 9860*b203*b455 + 3570*b203*b456 + 12920*b203*b457
     + 7480*b203*b458 + 14450*b203*b459 + 15980*b203*b460 + 15300*b203*b461 + 
    8670*b203*b462 + 510*b203*b463 + 8160*b203*b464 + 11830*b203*b465 + 3770*
    b203*b466 + 130*b203*b468 + 1950*b203*b469 + 1430*b203*b470 + 4550*b203*
    b471 + 1430*b203*b472 + 2600*b203*b473 + 2730*b203*b474 + 7930*b203*b475 + 
    10400*b203*b476 + 7540*b203*b477 + 2730*b203*b478 + 9880*b203*b479 + 5720*
    b203*b480 + 11050*b203*b481 + 12220*b203*b482 + 11700*b203*b483 + 6630*b203
    *b484 + 390*b203*b485 + 6240*b203*b486 + 8554*b203*b487 + 2726*b203*b488 + 
    94*b203*b490 + 1410*b203*b491 + 1034*b203*b492 + 3290*b203*b493 + 1034*b203
    *b494 + 1880*b203*b495 + 1974*b203*b496 + 5734*b203*b497 + 7520*b203*b498
     + 5452*b203*b499 + 1974*b203*b500 + 7144*b203*b501 + 4136*b203*b502 + 7990
    *b203*b503 + 8836*b203*b504 + 8460*b203*b505 + 4794*b203*b506 + 282*b203*
    b507 + 4512*b203*b508 + 16380*b203*b509 + 5220*b203*b510 + 180*b203*b512 + 
    2700*b203*b513 + 1980*b203*b514 + 6300*b203*b515 + 1980*b203*b516 + 3600*
    b203*b517 + 3780*b203*b518 + 10980*b203*b519 + 14400*b203*b520 + 10440*b203
    *b521 + 3780*b203*b522 + 13680*b203*b523 + 7920*b203*b524 + 15300*b203*b525
     + 16920*b203*b526 + 16200*b203*b527 + 9180*b203*b528 + 540*b203*b529 + 
    8640*b203*b530 + 1804*b203*b531 + 1584*b203*b532 + 638*b203*b533 + 15252*
    b203*b534 + 13392*b203*b535 + 5394*b203*b536 + 3608*b203*b537 + 3168*b203*
    b538 + 1276*b203*b539 + 11808*b203*b540 + 10368*b203*b541 + 4176*b203*b542
     + 6888*b203*b543 + 6048*b203*b544 + 2436*b203*b545 + 11644*b203*b546 + 
    10224*b203*b547 + 4118*b203*b548 + 15416*b203*b549 + 13536*b203*b550 + 5452
    *b203*b551 + 3280*b203*b552 + 2880*b203*b553 + 1160*b203*b554 + 7544*b203*
    b558 + 6624*b203*b559 + 2668*b203*b560 + 8528*b203*b561 + 7488*b203*b562 + 
    3016*b203*b563 + 3608*b203*b564 + 3168*b203*b565 + 1276*b203*b566 + 5412*
    b203*b567 + 4752*b203*b568 + 1914*b203*b569 + 11152*b203*b570 + 9792*b203*
    b571 + 3944*b203*b572 + 8528*b203*b573 + 7488*b203*b574 + 3016*b203*b575 + 
    4592*b203*b576 + 4032*b203*b577 + 1624*b203*b578 + 12300*b203*b579 + 10800*
    b203*b580 + 4350*b203*b581 + 16236*b203*b582 + 14256*b203*b583 + 5742*b203*
    b584 + 984*b203*b585 + 864*b203*b586 + 348*b203*b587 + 13940*b203*b588 + 
    12240*b203*b589 + 4930*b203*b590 + 10660*b203*b591 + 9360*b203*b592 + 3770*
    b203*b593 + 7708*b203*b594 + 6768*b203*b595 + 2726*b203*b596 + 14760*b203*
    b597 + 12960*b203*b598 + 5220*b203*b599 + 5394*b203*b600 + 186*b203*b602 + 
    2790*b203*b603 + 2046*b203*b604 + 6510*b203*b605 + 2046*b203*b606 + 3720*
    b203*b607 + 3906*b203*b608 + 11346*b203*b609 + 14880*b203*b610 + 10788*b203
    *b611 + 3906*b203*b612 + 14136*b203*b613 + 13392*b203*b614 + 8184*b203*b615
     + 15810*b203*b616 + 17484*b203*b617 + 16740*b203*b618 + 9486*b203*b619 + 
    558*b203*b620 + 8928*b203*b621 + 5394*b203*b622 + 16926*b203*b623 + 6068*
    b203*b624 + 5328*b203*b625 + 2146*b203*b626 + 1012*b204*b223 + 7544*b204*
    b224 + 92*b204*b225 + 8280*b204*b227 + 6072*b204*b228 + 3772*b204*b229 + 
    1380*b204*b230 + 7636*b204*b231 + 8832*b204*b232 + 6808*b204*b233 + 4140*
    b204*b234 + 5980*b204*b235 + 3680*b204*b236 + 4968*b204*b237 + 1288*b204*
    b238 + 6532*b204*b239 + 7084*b204*b240 + 3312*b204*b241 + 4876*b204*b242 + 
    3404*b204*b243 + 2392*b204*b244 + 1144*b204*b245 + 8528*b204*b246 + 104*
    b204*b247 + 9360*b204*b249 + 6864*b204*b250 + 4264*b204*b251 + 1560*b204*
    b252 + 8632*b204*b253 + 9984*b204*b254 + 7696*b204*b255 + 4680*b204*b256 + 
    6760*b204*b257 + 4160*b204*b258 + 5616*b204*b259 + 1456*b204*b260 + 7384*
    b204*b261 + 8008*b204*b262 + 3744*b204*b263 + 5512*b204*b264 + 3848*b204*
    b265 + 2704*b204*b266 + 484*b204*b267 + 3608*b204*b268 + 44*b204*b269 + 
    3960*b204*b271 + 2904*b204*b272 + 1804*b204*b273 + 660*b204*b274 + 3652*
    b204*b275 + 4224*b204*b276 + 3256*b204*b277 + 1980*b204*b278 + 2860*b204*
    b279 + 1760*b204*b280 + 2376*b204*b281 + 616*b204*b282 + 3124*b204*b283 + 
    3388*b204*b284 + 1584*b204*b285 + 2332*b204*b286 + 1628*b204*b287 + 1144*
    b204*b288 + 726*b204*b289 + 5412*b204*b290 + 66*b204*b291 + 5940*b204*b293
     + 4356*b204*b294 + 2706*b204*b295 + 990*b204*b296 + 5478*b204*b297 + 6336*
    b204*b298 + 4884*b204*b299 + 2970*b204*b300 + 4290*b204*b301 + 2640*b204*
    b302 + 3564*b204*b303 + 924*b204*b304 + 4686*b204*b305 + 5082*b204*b306 + 
    2376*b204*b307 + 3498*b204*b308 + 2442*b204*b309 + 1716*b204*b310 + 1496*
    b204*b311 + 11152*b204*b312 + 136*b204*b313 + 12240*b204*b315 + 8976*b204*
    b316 + 5576*b204*b317 + 2040*b204*b318 + 11288*b204*b319 + 13056*b204*b320
     + 10064*b204*b321 + 6120*b204*b322 + 8840*b204*b323 + 5440*b204*b324 + 
    7344*b204*b325 + 1904*b204*b326 + 9656*b204*b327 + 10472*b204*b328 + 4896*
    b204*b329 + 7208*b204*b330 + 5032*b204*b331 + 3536*b204*b332 + 1144*b204*
    b333 + 8528*b204*b334 + 104*b204*b335 + 9360*b204*b337 + 6864*b204*b338 + 
    4264*b204*b339 + 1560*b204*b340 + 8632*b204*b341 + 9984*b204*b342 + 7696*
    b204*b343 + 4680*b204*b344 + 6760*b204*b345 + 4160*b204*b346 + 5616*b204*
    b347 + 1456*b204*b348 + 7384*b204*b349 + 8008*b204*b350 + 3744*b204*b351 + 
    5512*b204*b352 + 3848*b204*b353 + 2704*b204*b354 + 616*b204*b355 + 4592*
    b204*b356 + 56*b204*b357 + 5040*b204*b359 + 3696*b204*b360 + 2296*b204*b361
     + 840*b204*b362 + 4648*b204*b363 + 5376*b204*b364 + 4144*b204*b365 + 2520*
    b204*b366 + 3640*b204*b367 + 2240*b204*b368 + 3024*b204*b369 + 784*b204*
    b370 + 3976*b204*b371 + 4312*b204*b372 + 2016*b204*b373 + 2968*b204*b374 + 
    2072*b204*b375 + 1456*b204*b376 + 1650*b204*b377 + 12300*b204*b378 + 150*
    b204*b379 + 13500*b204*b381 + 9900*b204*b382 + 6150*b204*b383 + 2250*b204*
    b384 + 12450*b204*b385 + 14400*b204*b386 + 11100*b204*b387 + 6750*b204*b388
     + 9750*b204*b389 + 6000*b204*b390 + 8100*b204*b391 + 2100*b204*b392 + 
    10650*b204*b393 + 11550*b204*b394 + 5400*b204*b395 + 7950*b204*b396 + 5550*
    b204*b397 + 3900*b204*b398 + 2178*b204*b399 + 16236*b204*b400 + 198*b204*
    b401 + 17820*b204*b403 + 13068*b204*b404 + 8118*b204*b405 + 2970*b204*b406
     + 16434*b204*b407 + 19008*b204*b408 + 14652*b204*b409 + 8910*b204*b410 + 
    12870*b204*b411 + 7920*b204*b412 + 10692*b204*b413 + 2772*b204*b414 + 14058
    *b204*b415 + 15246*b204*b416 + 7128*b204*b417 + 10494*b204*b418 + 7326*b204
    *b419 + 5148*b204*b420 + 132*b204*b421 + 984*b204*b422 + 12*b204*b423 + 
    1080*b204*b425 + 792*b204*b426 + 492*b204*b427 + 180*b204*b428 + 996*b204*
    b429 + 1152*b204*b430 + 888*b204*b431 + 540*b204*b432 + 780*b204*b433 + 480
    *b204*b434 + 648*b204*b435 + 168*b204*b436 + 852*b204*b437 + 924*b204*b438
     + 432*b204*b439 + 636*b204*b440 + 444*b204*b441 + 312*b204*b442 + 1870*
    b204*b443 + 13940*b204*b444 + 170*b204*b445 + 15300*b204*b447 + 11220*b204*
    b448 + 6970*b204*b449 + 2550*b204*b450 + 14110*b204*b451 + 16320*b204*b452
     + 12580*b204*b453 + 7650*b204*b454 + 11050*b204*b455 + 6800*b204*b456 + 
    9180*b204*b457 + 2380*b204*b458 + 12070*b204*b459 + 13090*b204*b460 + 6120*
    b204*b461 + 9010*b204*b462 + 6290*b204*b463 + 4420*b204*b464 + 1430*b204*
    b465 + 10660*b204*b466 + 130*b204*b467 + 11700*b204*b469 + 8580*b204*b470
     + 5330*b204*b471 + 1950*b204*b472 + 10790*b204*b473 + 12480*b204*b474 + 
    9620*b204*b475 + 5850*b204*b476 + 8450*b204*b477 + 5200*b204*b478 + 7020*
    b204*b479 + 1820*b204*b480 + 9230*b204*b481 + 10010*b204*b482 + 4680*b204*
    b483 + 6890*b204*b484 + 4810*b204*b485 + 3380*b204*b486 + 1034*b204*b487 + 
    7708*b204*b488 + 94*b204*b489 + 8460*b204*b491 + 6204*b204*b492 + 3854*b204
    *b493 + 1410*b204*b494 + 7802*b204*b495 + 9024*b204*b496 + 6956*b204*b497
     + 4230*b204*b498 + 6110*b204*b499 + 3760*b204*b500 + 5076*b204*b501 + 1316
    *b204*b502 + 6674*b204*b503 + 7238*b204*b504 + 3384*b204*b505 + 4982*b204*
    b506 + 3478*b204*b507 + 2444*b204*b508 + 1980*b204*b509 + 14760*b204*b510
     + 180*b204*b511 + 16200*b204*b513 + 11880*b204*b514 + 7380*b204*b515 + 
    2700*b204*b516 + 14940*b204*b517 + 17280*b204*b518 + 13320*b204*b519 + 8100
    *b204*b520 + 11700*b204*b521 + 7200*b204*b522 + 9720*b204*b523 + 2520*b204*
    b524 + 12780*b204*b525 + 13860*b204*b526 + 6480*b204*b527 + 9540*b204*b528
     + 6660*b204*b529 + 4680*b204*b530 + 1232*b204*b531 + 1826*b204*b532 + 1914
    *b204*b533 + 10416*b204*b534 + 15438*b204*b535 + 16182*b204*b536 + 2464*
    b204*b537 + 3652*b204*b538 + 3828*b204*b539 + 8064*b204*b540 + 11952*b204*
    b541 + 12528*b204*b542 + 4704*b204*b543 + 6972*b204*b544 + 7308*b204*b545
     + 7952*b204*b546 + 11786*b204*b547 + 12354*b204*b548 + 10528*b204*b549 + 
    15604*b204*b550 + 16356*b204*b551 + 2240*b204*b552 + 3320*b204*b553 + 3480*
    b204*b554 + 5152*b204*b558 + 7636*b204*b559 + 8004*b204*b560 + 5824*b204*
    b561 + 8632*b204*b562 + 9048*b204*b563 + 2464*b204*b564 + 3652*b204*b565 + 
    3828*b204*b566 + 3696*b204*b567 + 5478*b204*b568 + 5742*b204*b569 + 7616*
    b204*b570 + 11288*b204*b571 + 11832*b204*b572 + 5824*b204*b573 + 8632*b204*
    b574 + 9048*b204*b575 + 3136*b204*b576 + 4648*b204*b577 + 4872*b204*b578 + 
    8400*b204*b579 + 12450*b204*b580 + 13050*b204*b581 + 11088*b204*b582 + 
    16434*b204*b583 + 17226*b204*b584 + 672*b204*b585 + 996*b204*b586 + 1044*
    b204*b587 + 9520*b204*b588 + 14110*b204*b589 + 14790*b204*b590 + 7280*b204*
    b591 + 10790*b204*b592 + 11310*b204*b593 + 5264*b204*b594 + 7802*b204*b595
     + 8178*b204*b596 + 10080*b204*b597 + 14940*b204*b598 + 15660*b204*b599 + 
    15252*b204*b600 + 186*b204*b601 + 16740*b204*b603 + 12276*b204*b604 + 7626*
    b204*b605 + 2790*b204*b606 + 15438*b204*b607 + 17856*b204*b608 + 13764*b204
    *b609 + 8370*b204*b610 + 12090*b204*b611 + 7440*b204*b612 + 10044*b204*b613
     + 15438*b204*b614 + 2604*b204*b615 + 13206*b204*b616 + 14322*b204*b617 + 
    6696*b204*b618 + 9858*b204*b619 + 6882*b204*b620 + 4836*b204*b621 + 16182*
    b204*b622 + 2046*b204*b623 + 4144*b204*b624 + 6142*b204*b625 + 6438*b204*
    b626 + 3220*b205*b223 + 7544*b205*b224 + 1380*b205*b225 + 8280*b205*b226 + 
    6992*b205*b228 + 8372*b205*b229 + 1196*b205*b230 + 2668*b205*b231 + 1012*
    b205*b232 + 7084*b205*b233 + 2944*b205*b234 + 8004*b205*b235 + 6164*b205*
    b236 + 8648*b205*b237 + 184*b205*b238 + 920*b205*b239 + 9108*b205*b240 + 
    5152*b205*b241 + 6440*b205*b242 + 9108*b205*b243 + 5520*b205*b244 + 3640*
    b205*b245 + 8528*b205*b246 + 1560*b205*b247 + 9360*b205*b248 + 7904*b205*
    b250 + 9464*b205*b251 + 1352*b205*b252 + 3016*b205*b253 + 1144*b205*b254 + 
    8008*b205*b255 + 3328*b205*b256 + 9048*b205*b257 + 6968*b205*b258 + 9776*
    b205*b259 + 208*b205*b260 + 1040*b205*b261 + 10296*b205*b262 + 5824*b205*
    b263 + 7280*b205*b264 + 10296*b205*b265 + 6240*b205*b266 + 1540*b205*b267
     + 3608*b205*b268 + 660*b205*b269 + 3960*b205*b270 + 3344*b205*b272 + 4004*
    b205*b273 + 572*b205*b274 + 1276*b205*b275 + 484*b205*b276 + 3388*b205*b277
     + 1408*b205*b278 + 3828*b205*b279 + 2948*b205*b280 + 4136*b205*b281 + 88*
    b205*b282 + 440*b205*b283 + 4356*b205*b284 + 2464*b205*b285 + 3080*b205*
    b286 + 4356*b205*b287 + 2640*b205*b288 + 2310*b205*b289 + 5412*b205*b290 + 
    990*b205*b291 + 5940*b205*b292 + 5016*b205*b294 + 6006*b205*b295 + 858*b205
    *b296 + 1914*b205*b297 + 726*b205*b298 + 5082*b205*b299 + 2112*b205*b300 + 
    5742*b205*b301 + 4422*b205*b302 + 6204*b205*b303 + 132*b205*b304 + 660*b205
    *b305 + 6534*b205*b306 + 3696*b205*b307 + 4620*b205*b308 + 6534*b205*b309
     + 3960*b205*b310 + 4760*b205*b311 + 11152*b205*b312 + 2040*b205*b313 + 
    12240*b205*b314 + 10336*b205*b316 + 12376*b205*b317 + 1768*b205*b318 + 3944
    *b205*b319 + 1496*b205*b320 + 10472*b205*b321 + 4352*b205*b322 + 11832*b205
    *b323 + 9112*b205*b324 + 12784*b205*b325 + 272*b205*b326 + 1360*b205*b327
     + 13464*b205*b328 + 7616*b205*b329 + 9520*b205*b330 + 13464*b205*b331 + 
    8160*b205*b332 + 3640*b205*b333 + 8528*b205*b334 + 1560*b205*b335 + 9360*
    b205*b336 + 7904*b205*b338 + 9464*b205*b339 + 1352*b205*b340 + 3016*b205*
    b341 + 1144*b205*b342 + 8008*b205*b343 + 3328*b205*b344 + 9048*b205*b345 + 
    6968*b205*b346 + 9776*b205*b347 + 208*b205*b348 + 1040*b205*b349 + 10296*
    b205*b350 + 5824*b205*b351 + 7280*b205*b352 + 10296*b205*b353 + 6240*b205*
    b354 + 1960*b205*b355 + 4592*b205*b356 + 840*b205*b357 + 5040*b205*b358 + 
    4256*b205*b360 + 5096*b205*b361 + 728*b205*b362 + 1624*b205*b363 + 616*b205
    *b364 + 4312*b205*b365 + 1792*b205*b366 + 4872*b205*b367 + 3752*b205*b368
     + 5264*b205*b369 + 112*b205*b370 + 560*b205*b371 + 5544*b205*b372 + 3136*
    b205*b373 + 3920*b205*b374 + 5544*b205*b375 + 3360*b205*b376 + 5250*b205*
    b377 + 12300*b205*b378 + 2250*b205*b379 + 13500*b205*b380 + 11400*b205*b382
     + 13650*b205*b383 + 1950*b205*b384 + 4350*b205*b385 + 1650*b205*b386 + 
    11550*b205*b387 + 4800*b205*b388 + 13050*b205*b389 + 10050*b205*b390 + 
    14100*b205*b391 + 300*b205*b392 + 1500*b205*b393 + 14850*b205*b394 + 8400*
    b205*b395 + 10500*b205*b396 + 14850*b205*b397 + 9000*b205*b398 + 6930*b205*
    b399 + 16236*b205*b400 + 2970*b205*b401 + 17820*b205*b402 + 15048*b205*b404
     + 18018*b205*b405 + 2574*b205*b406 + 5742*b205*b407 + 2178*b205*b408 + 
    15246*b205*b409 + 6336*b205*b410 + 17226*b205*b411 + 13266*b205*b412 + 
    18612*b205*b413 + 396*b205*b414 + 1980*b205*b415 + 19602*b205*b416 + 11088*
    b205*b417 + 13860*b205*b418 + 19602*b205*b419 + 11880*b205*b420 + 420*b205*
    b421 + 984*b205*b422 + 180*b205*b423 + 1080*b205*b424 + 912*b205*b426 + 
    1092*b205*b427 + 156*b205*b428 + 348*b205*b429 + 132*b205*b430 + 924*b205*
    b431 + 384*b205*b432 + 1044*b205*b433 + 804*b205*b434 + 1128*b205*b435 + 24
    *b205*b436 + 120*b205*b437 + 1188*b205*b438 + 672*b205*b439 + 840*b205*b440
     + 1188*b205*b441 + 720*b205*b442 + 5950*b205*b443 + 13940*b205*b444 + 2550
    *b205*b445 + 15300*b205*b446 + 12920*b205*b448 + 15470*b205*b449 + 2210*
    b205*b450 + 4930*b205*b451 + 1870*b205*b452 + 13090*b205*b453 + 5440*b205*
    b454 + 14790*b205*b455 + 11390*b205*b456 + 15980*b205*b457 + 340*b205*b458
     + 1700*b205*b459 + 16830*b205*b460 + 9520*b205*b461 + 11900*b205*b462 + 
    16830*b205*b463 + 10200*b205*b464 + 4550*b205*b465 + 10660*b205*b466 + 1950
    *b205*b467 + 11700*b205*b468 + 9880*b205*b470 + 11830*b205*b471 + 1690*b205
    *b472 + 3770*b205*b473 + 1430*b205*b474 + 10010*b205*b475 + 4160*b205*b476
     + 11310*b205*b477 + 8710*b205*b478 + 12220*b205*b479 + 260*b205*b480 + 
    1300*b205*b481 + 12870*b205*b482 + 7280*b205*b483 + 9100*b205*b484 + 12870*
    b205*b485 + 7800*b205*b486 + 3290*b205*b487 + 7708*b205*b488 + 1410*b205*
    b489 + 8460*b205*b490 + 7144*b205*b492 + 8554*b205*b493 + 1222*b205*b494 + 
    2726*b205*b495 + 1034*b205*b496 + 7238*b205*b497 + 3008*b205*b498 + 8178*
    b205*b499 + 6298*b205*b500 + 8836*b205*b501 + 188*b205*b502 + 940*b205*b503
     + 9306*b205*b504 + 5264*b205*b505 + 6580*b205*b506 + 9306*b205*b507 + 5640
    *b205*b508 + 6300*b205*b509 + 14760*b205*b510 + 2700*b205*b511 + 16200*b205
    *b512 + 13680*b205*b514 + 16380*b205*b515 + 2340*b205*b516 + 5220*b205*b517
     + 1980*b205*b518 + 13860*b205*b519 + 5760*b205*b520 + 15660*b205*b521 + 
    12060*b205*b522 + 16920*b205*b523 + 360*b205*b524 + 1800*b205*b525 + 17820*
    b205*b526 + 10080*b205*b527 + 12600*b205*b528 + 17820*b205*b529 + 10800*
    b205*b530 + 902*b205*b531 + 1738*b205*b532 + 88*b205*b533 + 7626*b205*b534
     + 14694*b205*b535 + 744*b205*b536 + 1804*b205*b537 + 3476*b205*b538 + 176*
    b205*b539 + 5904*b205*b540 + 11376*b205*b541 + 576*b205*b542 + 3444*b205*
    b543 + 6636*b205*b544 + 336*b205*b545 + 5822*b205*b546 + 11218*b205*b547 + 
    568*b205*b548 + 7708*b205*b549 + 14852*b205*b550 + 752*b205*b551 + 1640*
    b205*b552 + 3160*b205*b553 + 160*b205*b554 + 3772*b205*b558 + 7268*b205*
    b559 + 368*b205*b560 + 4264*b205*b561 + 8216*b205*b562 + 416*b205*b563 + 
    1804*b205*b564 + 3476*b205*b565 + 176*b205*b566 + 2706*b205*b567 + 5214*
    b205*b568 + 264*b205*b569 + 5576*b205*b570 + 10744*b205*b571 + 544*b205*
    b572 + 4264*b205*b573 + 8216*b205*b574 + 416*b205*b575 + 2296*b205*b576 + 
    4424*b205*b577 + 224*b205*b578 + 6150*b205*b579 + 11850*b205*b580 + 600*
    b205*b581 + 8118*b205*b582 + 15642*b205*b583 + 792*b205*b584 + 492*b205*
    b585 + 948*b205*b586 + 48*b205*b587 + 6970*b205*b588 + 13430*b205*b589 + 
    680*b205*b590 + 5330*b205*b591 + 10270*b205*b592 + 520*b205*b593 + 3854*
    b205*b594 + 7426*b205*b595 + 376*b205*b596 + 7380*b205*b597 + 14220*b205*
    b598 + 720*b205*b599 + 15252*b205*b600 + 2790*b205*b601 + 16740*b205*b602
     + 14136*b205*b604 + 16926*b205*b605 + 2418*b205*b606 + 5394*b205*b607 + 
    2046*b205*b608 + 14322*b205*b609 + 5952*b205*b610 + 16182*b205*b611 + 12462
    *b205*b612 + 17484*b205*b613 + 14694*b205*b614 + 372*b205*b615 + 1860*b205*
    b616 + 18414*b205*b617 + 10416*b205*b618 + 13020*b205*b619 + 18414*b205*
    b620 + 11160*b205*b621 + 744*b205*b622 + 6510*b205*b623 + 3034*b205*b624 + 
    5846*b205*b625 + 296*b205*b626 + 7544*b206*b223 + 552*b206*b224 + 1012*b206
    *b225 + 6072*b206*b226 + 6992*b206*b227 + 5152*b206*b229 + 184*b206*b230 + 
    5520*b206*b231 + 6624*b206*b232 + 6808*b206*b233 + 4232*b206*b234 + 1196*
    b206*b235 + 1840*b206*b236 + 7912*b206*b237 + 7084*b206*b238 + 1380*b206*
    b239 + 8188*b206*b240 + 4416*b206*b241 + 1288*b206*b242 + 8188*b206*b243 + 
    4048*b206*b244 + 8528*b206*b245 + 624*b206*b246 + 1144*b206*b247 + 6864*
    b206*b248 + 7904*b206*b249 + 5824*b206*b251 + 208*b206*b252 + 6240*b206*
    b253 + 7488*b206*b254 + 7696*b206*b255 + 4784*b206*b256 + 1352*b206*b257 + 
    2080*b206*b258 + 8944*b206*b259 + 8008*b206*b260 + 1560*b206*b261 + 9256*
    b206*b262 + 4992*b206*b263 + 1456*b206*b264 + 9256*b206*b265 + 4576*b206*
    b266 + 3608*b206*b267 + 264*b206*b268 + 484*b206*b269 + 2904*b206*b270 + 
    3344*b206*b271 + 2464*b206*b273 + 88*b206*b274 + 2640*b206*b275 + 3168*b206
    *b276 + 3256*b206*b277 + 2024*b206*b278 + 572*b206*b279 + 880*b206*b280 + 
    3784*b206*b281 + 3388*b206*b282 + 660*b206*b283 + 3916*b206*b284 + 2112*
    b206*b285 + 616*b206*b286 + 3916*b206*b287 + 1936*b206*b288 + 5412*b206*
    b289 + 396*b206*b290 + 726*b206*b291 + 4356*b206*b292 + 5016*b206*b293 + 
    3696*b206*b295 + 132*b206*b296 + 3960*b206*b297 + 4752*b206*b298 + 4884*
    b206*b299 + 3036*b206*b300 + 858*b206*b301 + 1320*b206*b302 + 5676*b206*
    b303 + 5082*b206*b304 + 990*b206*b305 + 5874*b206*b306 + 3168*b206*b307 + 
    924*b206*b308 + 5874*b206*b309 + 2904*b206*b310 + 11152*b206*b311 + 816*
    b206*b312 + 1496*b206*b313 + 8976*b206*b314 + 10336*b206*b315 + 7616*b206*
    b317 + 272*b206*b318 + 8160*b206*b319 + 9792*b206*b320 + 10064*b206*b321 + 
    6256*b206*b322 + 1768*b206*b323 + 2720*b206*b324 + 11696*b206*b325 + 10472*
    b206*b326 + 2040*b206*b327 + 12104*b206*b328 + 6528*b206*b329 + 1904*b206*
    b330 + 12104*b206*b331 + 5984*b206*b332 + 8528*b206*b333 + 624*b206*b334 + 
    1144*b206*b335 + 6864*b206*b336 + 7904*b206*b337 + 5824*b206*b339 + 208*
    b206*b340 + 6240*b206*b341 + 7488*b206*b342 + 7696*b206*b343 + 4784*b206*
    b344 + 1352*b206*b345 + 2080*b206*b346 + 8944*b206*b347 + 8008*b206*b348 + 
    1560*b206*b349 + 9256*b206*b350 + 4992*b206*b351 + 1456*b206*b352 + 9256*
    b206*b353 + 4576*b206*b354 + 4592*b206*b355 + 336*b206*b356 + 616*b206*b357
     + 3696*b206*b358 + 4256*b206*b359 + 3136*b206*b361 + 112*b206*b362 + 3360*
    b206*b363 + 4032*b206*b364 + 4144*b206*b365 + 2576*b206*b366 + 728*b206*
    b367 + 1120*b206*b368 + 4816*b206*b369 + 4312*b206*b370 + 840*b206*b371 + 
    4984*b206*b372 + 2688*b206*b373 + 784*b206*b374 + 4984*b206*b375 + 2464*
    b206*b376 + 12300*b206*b377 + 900*b206*b378 + 1650*b206*b379 + 9900*b206*
    b380 + 11400*b206*b381 + 8400*b206*b383 + 300*b206*b384 + 9000*b206*b385 + 
    10800*b206*b386 + 11100*b206*b387 + 6900*b206*b388 + 1950*b206*b389 + 3000*
    b206*b390 + 12900*b206*b391 + 11550*b206*b392 + 2250*b206*b393 + 13350*b206
    *b394 + 7200*b206*b395 + 2100*b206*b396 + 13350*b206*b397 + 6600*b206*b398
     + 16236*b206*b399 + 1188*b206*b400 + 2178*b206*b401 + 13068*b206*b402 + 
    15048*b206*b403 + 11088*b206*b405 + 396*b206*b406 + 11880*b206*b407 + 14256
    *b206*b408 + 14652*b206*b409 + 9108*b206*b410 + 2574*b206*b411 + 3960*b206*
    b412 + 17028*b206*b413 + 15246*b206*b414 + 2970*b206*b415 + 17622*b206*b416
     + 9504*b206*b417 + 2772*b206*b418 + 17622*b206*b419 + 8712*b206*b420 + 984
    *b206*b421 + 72*b206*b422 + 132*b206*b423 + 792*b206*b424 + 912*b206*b425
     + 672*b206*b427 + 24*b206*b428 + 720*b206*b429 + 864*b206*b430 + 888*b206*
    b431 + 552*b206*b432 + 156*b206*b433 + 240*b206*b434 + 1032*b206*b435 + 924
    *b206*b436 + 180*b206*b437 + 1068*b206*b438 + 576*b206*b439 + 168*b206*b440
     + 1068*b206*b441 + 528*b206*b442 + 13940*b206*b443 + 1020*b206*b444 + 1870
    *b206*b445 + 11220*b206*b446 + 12920*b206*b447 + 9520*b206*b449 + 340*b206*
    b450 + 10200*b206*b451 + 12240*b206*b452 + 12580*b206*b453 + 7820*b206*b454
     + 2210*b206*b455 + 3400*b206*b456 + 14620*b206*b457 + 13090*b206*b458 + 
    2550*b206*b459 + 15130*b206*b460 + 8160*b206*b461 + 2380*b206*b462 + 15130*
    b206*b463 + 7480*b206*b464 + 10660*b206*b465 + 780*b206*b466 + 1430*b206*
    b467 + 8580*b206*b468 + 9880*b206*b469 + 7280*b206*b471 + 260*b206*b472 + 
    7800*b206*b473 + 9360*b206*b474 + 9620*b206*b475 + 5980*b206*b476 + 1690*
    b206*b477 + 2600*b206*b478 + 11180*b206*b479 + 10010*b206*b480 + 1950*b206*
    b481 + 11570*b206*b482 + 6240*b206*b483 + 1820*b206*b484 + 11570*b206*b485
     + 5720*b206*b486 + 7708*b206*b487 + 564*b206*b488 + 1034*b206*b489 + 6204*
    b206*b490 + 7144*b206*b491 + 5264*b206*b493 + 188*b206*b494 + 5640*b206*
    b495 + 6768*b206*b496 + 6956*b206*b497 + 4324*b206*b498 + 1222*b206*b499 + 
    1880*b206*b500 + 8084*b206*b501 + 7238*b206*b502 + 1410*b206*b503 + 8366*
    b206*b504 + 4512*b206*b505 + 1316*b206*b506 + 8366*b206*b507 + 4136*b206*
    b508 + 14760*b206*b509 + 1080*b206*b510 + 1980*b206*b511 + 11880*b206*b512
     + 13680*b206*b513 + 10080*b206*b515 + 360*b206*b516 + 10800*b206*b517 + 
    12960*b206*b518 + 13320*b206*b519 + 8280*b206*b520 + 2340*b206*b521 + 3600*
    b206*b522 + 15480*b206*b523 + 13860*b206*b524 + 2700*b206*b525 + 16020*b206
    *b526 + 8640*b206*b527 + 2520*b206*b528 + 16020*b206*b529 + 7920*b206*b530
     + 132*b206*b531 + 88*b206*b532 + 1298*b206*b533 + 1116*b206*b534 + 744*
    b206*b535 + 10974*b206*b536 + 264*b206*b537 + 176*b206*b538 + 2596*b206*
    b539 + 864*b206*b540 + 576*b206*b541 + 8496*b206*b542 + 504*b206*b543 + 336
    *b206*b544 + 4956*b206*b545 + 852*b206*b546 + 568*b206*b547 + 8378*b206*
    b548 + 1128*b206*b549 + 752*b206*b550 + 11092*b206*b551 + 240*b206*b552 + 
    160*b206*b553 + 2360*b206*b554 + 552*b206*b558 + 368*b206*b559 + 5428*b206*
    b560 + 624*b206*b561 + 416*b206*b562 + 6136*b206*b563 + 264*b206*b564 + 176
    *b206*b565 + 2596*b206*b566 + 396*b206*b567 + 264*b206*b568 + 3894*b206*
    b569 + 816*b206*b570 + 544*b206*b571 + 8024*b206*b572 + 624*b206*b573 + 416
    *b206*b574 + 6136*b206*b575 + 336*b206*b576 + 224*b206*b577 + 3304*b206*
    b578 + 900*b206*b579 + 600*b206*b580 + 8850*b206*b581 + 1188*b206*b582 + 
    792*b206*b583 + 11682*b206*b584 + 72*b206*b585 + 48*b206*b586 + 708*b206*
    b587 + 1020*b206*b588 + 680*b206*b589 + 10030*b206*b590 + 780*b206*b591 + 
    520*b206*b592 + 7670*b206*b593 + 564*b206*b594 + 376*b206*b595 + 5546*b206*
    b596 + 1080*b206*b597 + 720*b206*b598 + 10620*b206*b599 + 1116*b206*b600 + 
    2046*b206*b601 + 12276*b206*b602 + 14136*b206*b603 + 10416*b206*b605 + 372*
    b206*b606 + 11160*b206*b607 + 13392*b206*b608 + 13764*b206*b609 + 8556*b206
    *b610 + 2418*b206*b611 + 3720*b206*b612 + 15996*b206*b613 + 744*b206*b614
     + 14322*b206*b615 + 2790*b206*b616 + 16554*b206*b617 + 8928*b206*b618 + 
    2604*b206*b619 + 16554*b206*b620 + 8184*b206*b621 + 10974*b206*b622 + 15252
    *b206*b623 + 444*b206*b624 + 296*b206*b625 + 4366*b206*b626 + 2392*b207*
    b223 + 6532*b207*b224 + 3220*b207*b225 + 3772*b207*b226 + 8372*b207*b227 + 
    5152*b207*b228 + 2024*b207*b230 + 5244*b207*b231 + 5796*b207*b232 + 552*
    b207*b233 + 5704*b207*b235 + 3772*b207*b236 + 5704*b207*b237 + 2300*b207*
    b238 + 6900*b207*b239 + 6992*b207*b240 + 3680*b207*b241 + 6072*b207*b242 + 
    5336*b207*b243 + 2760*b207*b244 + 2704*b207*b245 + 7384*b207*b246 + 3640*
    b207*b247 + 4264*b207*b248 + 9464*b207*b249 + 5824*b207*b250 + 2288*b207*
    b252 + 5928*b207*b253 + 6552*b207*b254 + 624*b207*b255 + 6448*b207*b257 + 
    4264*b207*b258 + 6448*b207*b259 + 2600*b207*b260 + 7800*b207*b261 + 7904*
    b207*b262 + 4160*b207*b263 + 6864*b207*b264 + 6032*b207*b265 + 3120*b207*
    b266 + 1144*b207*b267 + 3124*b207*b268 + 1540*b207*b269 + 1804*b207*b270 + 
    4004*b207*b271 + 2464*b207*b272 + 968*b207*b274 + 2508*b207*b275 + 2772*
    b207*b276 + 264*b207*b277 + 2728*b207*b279 + 1804*b207*b280 + 2728*b207*
    b281 + 1100*b207*b282 + 3300*b207*b283 + 3344*b207*b284 + 1760*b207*b285 + 
    2904*b207*b286 + 2552*b207*b287 + 1320*b207*b288 + 1716*b207*b289 + 4686*
    b207*b290 + 2310*b207*b291 + 2706*b207*b292 + 6006*b207*b293 + 3696*b207*
    b294 + 1452*b207*b296 + 3762*b207*b297 + 4158*b207*b298 + 396*b207*b299 + 
    4092*b207*b301 + 2706*b207*b302 + 4092*b207*b303 + 1650*b207*b304 + 4950*
    b207*b305 + 5016*b207*b306 + 2640*b207*b307 + 4356*b207*b308 + 3828*b207*
    b309 + 1980*b207*b310 + 3536*b207*b311 + 9656*b207*b312 + 4760*b207*b313 + 
    5576*b207*b314 + 12376*b207*b315 + 7616*b207*b316 + 2992*b207*b318 + 7752*
    b207*b319 + 8568*b207*b320 + 816*b207*b321 + 8432*b207*b323 + 5576*b207*
    b324 + 8432*b207*b325 + 3400*b207*b326 + 10200*b207*b327 + 10336*b207*b328
     + 5440*b207*b329 + 8976*b207*b330 + 7888*b207*b331 + 4080*b207*b332 + 2704
    *b207*b333 + 7384*b207*b334 + 3640*b207*b335 + 4264*b207*b336 + 9464*b207*
    b337 + 5824*b207*b338 + 2288*b207*b340 + 5928*b207*b341 + 6552*b207*b342 + 
    624*b207*b343 + 6448*b207*b345 + 4264*b207*b346 + 6448*b207*b347 + 2600*
    b207*b348 + 7800*b207*b349 + 7904*b207*b350 + 4160*b207*b351 + 6864*b207*
    b352 + 6032*b207*b353 + 3120*b207*b354 + 1456*b207*b355 + 3976*b207*b356 + 
    1960*b207*b357 + 2296*b207*b358 + 5096*b207*b359 + 3136*b207*b360 + 1232*
    b207*b362 + 3192*b207*b363 + 3528*b207*b364 + 336*b207*b365 + 3472*b207*
    b367 + 2296*b207*b368 + 3472*b207*b369 + 1400*b207*b370 + 4200*b207*b371 + 
    4256*b207*b372 + 2240*b207*b373 + 3696*b207*b374 + 3248*b207*b375 + 1680*
    b207*b376 + 3900*b207*b377 + 10650*b207*b378 + 5250*b207*b379 + 6150*b207*
    b380 + 13650*b207*b381 + 8400*b207*b382 + 3300*b207*b384 + 8550*b207*b385
     + 9450*b207*b386 + 900*b207*b387 + 9300*b207*b389 + 6150*b207*b390 + 9300*
    b207*b391 + 3750*b207*b392 + 11250*b207*b393 + 11400*b207*b394 + 6000*b207*
    b395 + 9900*b207*b396 + 8700*b207*b397 + 4500*b207*b398 + 5148*b207*b399 + 
    14058*b207*b400 + 6930*b207*b401 + 8118*b207*b402 + 18018*b207*b403 + 11088
    *b207*b404 + 4356*b207*b406 + 11286*b207*b407 + 12474*b207*b408 + 1188*b207
    *b409 + 12276*b207*b411 + 8118*b207*b412 + 12276*b207*b413 + 4950*b207*b414
     + 14850*b207*b415 + 15048*b207*b416 + 7920*b207*b417 + 13068*b207*b418 + 
    11484*b207*b419 + 5940*b207*b420 + 312*b207*b421 + 852*b207*b422 + 420*b207
    *b423 + 492*b207*b424 + 1092*b207*b425 + 672*b207*b426 + 264*b207*b428 + 
    684*b207*b429 + 756*b207*b430 + 72*b207*b431 + 744*b207*b433 + 492*b207*
    b434 + 744*b207*b435 + 300*b207*b436 + 900*b207*b437 + 912*b207*b438 + 480*
    b207*b439 + 792*b207*b440 + 696*b207*b441 + 360*b207*b442 + 4420*b207*b443
     + 12070*b207*b444 + 5950*b207*b445 + 6970*b207*b446 + 15470*b207*b447 + 
    9520*b207*b448 + 3740*b207*b450 + 9690*b207*b451 + 10710*b207*b452 + 1020*
    b207*b453 + 10540*b207*b455 + 6970*b207*b456 + 10540*b207*b457 + 4250*b207*
    b458 + 12750*b207*b459 + 12920*b207*b460 + 6800*b207*b461 + 11220*b207*b462
     + 9860*b207*b463 + 5100*b207*b464 + 3380*b207*b465 + 9230*b207*b466 + 4550
    *b207*b467 + 5330*b207*b468 + 11830*b207*b469 + 7280*b207*b470 + 2860*b207*
    b472 + 7410*b207*b473 + 8190*b207*b474 + 780*b207*b475 + 8060*b207*b477 + 
    5330*b207*b478 + 8060*b207*b479 + 3250*b207*b480 + 9750*b207*b481 + 9880*
    b207*b482 + 5200*b207*b483 + 8580*b207*b484 + 7540*b207*b485 + 3900*b207*
    b486 + 2444*b207*b487 + 6674*b207*b488 + 3290*b207*b489 + 3854*b207*b490 + 
    8554*b207*b491 + 5264*b207*b492 + 2068*b207*b494 + 5358*b207*b495 + 5922*
    b207*b496 + 564*b207*b497 + 5828*b207*b499 + 3854*b207*b500 + 5828*b207*
    b501 + 2350*b207*b502 + 7050*b207*b503 + 7144*b207*b504 + 3760*b207*b505 + 
    6204*b207*b506 + 5452*b207*b507 + 2820*b207*b508 + 4680*b207*b509 + 12780*
    b207*b510 + 6300*b207*b511 + 7380*b207*b512 + 16380*b207*b513 + 10080*b207*
    b514 + 3960*b207*b516 + 10260*b207*b517 + 11340*b207*b518 + 1080*b207*b519
     + 11160*b207*b521 + 7380*b207*b522 + 11160*b207*b523 + 4500*b207*b524 + 
    13500*b207*b525 + 13680*b207*b526 + 7200*b207*b527 + 11880*b207*b528 + 
    10440*b207*b529 + 5400*b207*b530 + 550*b207*b531 + 1012*b207*b532 + 1496*
    b207*b533 + 4650*b207*b534 + 8556*b207*b535 + 12648*b207*b536 + 1100*b207*
    b537 + 2024*b207*b538 + 2992*b207*b539 + 3600*b207*b540 + 6624*b207*b541 + 
    9792*b207*b542 + 2100*b207*b543 + 3864*b207*b544 + 5712*b207*b545 + 3550*
    b207*b546 + 6532*b207*b547 + 9656*b207*b548 + 4700*b207*b549 + 8648*b207*
    b550 + 12784*b207*b551 + 1000*b207*b552 + 1840*b207*b553 + 2720*b207*b554
     + 2300*b207*b558 + 4232*b207*b559 + 6256*b207*b560 + 2600*b207*b561 + 4784
    *b207*b562 + 7072*b207*b563 + 1100*b207*b564 + 2024*b207*b565 + 2992*b207*
    b566 + 1650*b207*b567 + 3036*b207*b568 + 4488*b207*b569 + 3400*b207*b570 + 
    6256*b207*b571 + 9248*b207*b572 + 2600*b207*b573 + 4784*b207*b574 + 7072*
    b207*b575 + 1400*b207*b576 + 2576*b207*b577 + 3808*b207*b578 + 3750*b207*
    b579 + 6900*b207*b580 + 10200*b207*b581 + 4950*b207*b582 + 9108*b207*b583
     + 13464*b207*b584 + 300*b207*b585 + 552*b207*b586 + 816*b207*b587 + 4250*
    b207*b588 + 7820*b207*b589 + 11560*b207*b590 + 3250*b207*b591 + 5980*b207*
    b592 + 8840*b207*b593 + 2350*b207*b594 + 4324*b207*b595 + 6392*b207*b596 + 
    4500*b207*b597 + 8280*b207*b598 + 12240*b207*b599 + 13206*b207*b600 + 6510*
    b207*b601 + 7626*b207*b602 + 16926*b207*b603 + 10416*b207*b604 + 4092*b207*
    b606 + 10602*b207*b607 + 11718*b207*b608 + 1116*b207*b609 + 11532*b207*b611
     + 7626*b207*b612 + 11532*b207*b613 + 8556*b207*b614 + 4650*b207*b615 + 
    13950*b207*b616 + 14136*b207*b617 + 7440*b207*b618 + 12276*b207*b619 + 
    10788*b207*b620 + 5580*b207*b621 + 12648*b207*b622 + 4836*b207*b623 + 1850*
    b207*b624 + 3404*b207*b625 + 5032*b207*b626 + 6348*b208*b223 + 736*b208*
    b224 + 1012*b208*b225 + 1380*b208*b226 + 1196*b208*b227 + 184*b208*b228 + 
    2024*b208*b229 + 7176*b208*b231 + 8372*b208*b232 + 1196*b208*b233 + 5428*
    b208*b234 + 4508*b208*b235 + 7820*b208*b236 + 7728*b208*b237 + 3496*b208*
    b238 + 3772*b208*b239 + 5152*b208*b240 + 3588*b208*b241 + 4876*b208*b242 + 
    7084*b208*b243 + 4600*b208*b244 + 7176*b208*b245 + 832*b208*b246 + 1144*
    b208*b247 + 1560*b208*b248 + 1352*b208*b249 + 208*b208*b250 + 2288*b208*
    b251 + 8112*b208*b253 + 9464*b208*b254 + 1352*b208*b255 + 6136*b208*b256 + 
    5096*b208*b257 + 8840*b208*b258 + 8736*b208*b259 + 3952*b208*b260 + 4264*
    b208*b261 + 5824*b208*b262 + 4056*b208*b263 + 5512*b208*b264 + 8008*b208*
    b265 + 5200*b208*b266 + 3036*b208*b267 + 352*b208*b268 + 484*b208*b269 + 
    660*b208*b270 + 572*b208*b271 + 88*b208*b272 + 968*b208*b273 + 3432*b208*
    b275 + 4004*b208*b276 + 572*b208*b277 + 2596*b208*b278 + 2156*b208*b279 + 
    3740*b208*b280 + 3696*b208*b281 + 1672*b208*b282 + 1804*b208*b283 + 2464*
    b208*b284 + 1716*b208*b285 + 2332*b208*b286 + 3388*b208*b287 + 2200*b208*
    b288 + 4554*b208*b289 + 528*b208*b290 + 726*b208*b291 + 990*b208*b292 + 858
    *b208*b293 + 132*b208*b294 + 1452*b208*b295 + 5148*b208*b297 + 6006*b208*
    b298 + 858*b208*b299 + 3894*b208*b300 + 3234*b208*b301 + 5610*b208*b302 + 
    5544*b208*b303 + 2508*b208*b304 + 2706*b208*b305 + 3696*b208*b306 + 2574*
    b208*b307 + 3498*b208*b308 + 5082*b208*b309 + 3300*b208*b310 + 9384*b208*
    b311 + 1088*b208*b312 + 1496*b208*b313 + 2040*b208*b314 + 1768*b208*b315 + 
    272*b208*b316 + 2992*b208*b317 + 10608*b208*b319 + 12376*b208*b320 + 1768*
    b208*b321 + 8024*b208*b322 + 6664*b208*b323 + 11560*b208*b324 + 11424*b208*
    b325 + 5168*b208*b326 + 5576*b208*b327 + 7616*b208*b328 + 5304*b208*b329 + 
    7208*b208*b330 + 10472*b208*b331 + 6800*b208*b332 + 7176*b208*b333 + 832*
    b208*b334 + 1144*b208*b335 + 1560*b208*b336 + 1352*b208*b337 + 208*b208*
    b338 + 2288*b208*b339 + 8112*b208*b341 + 9464*b208*b342 + 1352*b208*b343 + 
    6136*b208*b344 + 5096*b208*b345 + 8840*b208*b346 + 8736*b208*b347 + 3952*
    b208*b348 + 4264*b208*b349 + 5824*b208*b350 + 4056*b208*b351 + 5512*b208*
    b352 + 8008*b208*b353 + 5200*b208*b354 + 3864*b208*b355 + 448*b208*b356 + 
    616*b208*b357 + 840*b208*b358 + 728*b208*b359 + 112*b208*b360 + 1232*b208*
    b361 + 4368*b208*b363 + 5096*b208*b364 + 728*b208*b365 + 3304*b208*b366 + 
    2744*b208*b367 + 4760*b208*b368 + 4704*b208*b369 + 2128*b208*b370 + 2296*
    b208*b371 + 3136*b208*b372 + 2184*b208*b373 + 2968*b208*b374 + 4312*b208*
    b375 + 2800*b208*b376 + 10350*b208*b377 + 1200*b208*b378 + 1650*b208*b379
     + 2250*b208*b380 + 1950*b208*b381 + 300*b208*b382 + 3300*b208*b383 + 11700
    *b208*b385 + 13650*b208*b386 + 1950*b208*b387 + 8850*b208*b388 + 7350*b208*
    b389 + 12750*b208*b390 + 12600*b208*b391 + 5700*b208*b392 + 6150*b208*b393
     + 8400*b208*b394 + 5850*b208*b395 + 7950*b208*b396 + 11550*b208*b397 + 
    7500*b208*b398 + 13662*b208*b399 + 1584*b208*b400 + 2178*b208*b401 + 2970*
    b208*b402 + 2574*b208*b403 + 396*b208*b404 + 4356*b208*b405 + 15444*b208*
    b407 + 18018*b208*b408 + 2574*b208*b409 + 11682*b208*b410 + 9702*b208*b411
     + 16830*b208*b412 + 16632*b208*b413 + 7524*b208*b414 + 8118*b208*b415 + 
    11088*b208*b416 + 7722*b208*b417 + 10494*b208*b418 + 15246*b208*b419 + 9900
    *b208*b420 + 828*b208*b421 + 96*b208*b422 + 132*b208*b423 + 180*b208*b424
     + 156*b208*b425 + 24*b208*b426 + 264*b208*b427 + 936*b208*b429 + 1092*b208
    *b430 + 156*b208*b431 + 708*b208*b432 + 588*b208*b433 + 1020*b208*b434 + 
    1008*b208*b435 + 456*b208*b436 + 492*b208*b437 + 672*b208*b438 + 468*b208*
    b439 + 636*b208*b440 + 924*b208*b441 + 600*b208*b442 + 11730*b208*b443 + 
    1360*b208*b444 + 1870*b208*b445 + 2550*b208*b446 + 2210*b208*b447 + 340*
    b208*b448 + 3740*b208*b449 + 13260*b208*b451 + 15470*b208*b452 + 2210*b208*
    b453 + 10030*b208*b454 + 8330*b208*b455 + 14450*b208*b456 + 14280*b208*b457
     + 6460*b208*b458 + 6970*b208*b459 + 9520*b208*b460 + 6630*b208*b461 + 9010
    *b208*b462 + 13090*b208*b463 + 8500*b208*b464 + 8970*b208*b465 + 1040*b208*
    b466 + 1430*b208*b467 + 1950*b208*b468 + 1690*b208*b469 + 260*b208*b470 + 
    2860*b208*b471 + 10140*b208*b473 + 11830*b208*b474 + 1690*b208*b475 + 7670*
    b208*b476 + 6370*b208*b477 + 11050*b208*b478 + 10920*b208*b479 + 4940*b208*
    b480 + 5330*b208*b481 + 7280*b208*b482 + 5070*b208*b483 + 6890*b208*b484 + 
    10010*b208*b485 + 6500*b208*b486 + 6486*b208*b487 + 752*b208*b488 + 1034*
    b208*b489 + 1410*b208*b490 + 1222*b208*b491 + 188*b208*b492 + 2068*b208*
    b493 + 7332*b208*b495 + 8554*b208*b496 + 1222*b208*b497 + 5546*b208*b498 + 
    4606*b208*b499 + 7990*b208*b500 + 7896*b208*b501 + 3572*b208*b502 + 3854*
    b208*b503 + 5264*b208*b504 + 3666*b208*b505 + 4982*b208*b506 + 7238*b208*
    b507 + 4700*b208*b508 + 12420*b208*b509 + 1440*b208*b510 + 1980*b208*b511
     + 2700*b208*b512 + 2340*b208*b513 + 360*b208*b514 + 3960*b208*b515 + 14040
    *b208*b517 + 16380*b208*b518 + 2340*b208*b519 + 10620*b208*b520 + 8820*b208
    *b521 + 15300*b208*b522 + 15120*b208*b523 + 6840*b208*b524 + 7380*b208*b525
     + 10080*b208*b526 + 7020*b208*b527 + 9540*b208*b528 + 13860*b208*b529 + 
    9000*b208*b530 + 220*b208*b531 + 176*b208*b532 + 660*b208*b533 + 1860*b208*
    b534 + 1488*b208*b535 + 5580*b208*b536 + 440*b208*b537 + 352*b208*b538 + 
    1320*b208*b539 + 1440*b208*b540 + 1152*b208*b541 + 4320*b208*b542 + 840*
    b208*b543 + 672*b208*b544 + 2520*b208*b545 + 1420*b208*b546 + 1136*b208*
    b547 + 4260*b208*b548 + 1880*b208*b549 + 1504*b208*b550 + 5640*b208*b551 + 
    400*b208*b552 + 320*b208*b553 + 1200*b208*b554 + 920*b208*b558 + 736*b208*
    b559 + 2760*b208*b560 + 1040*b208*b561 + 832*b208*b562 + 3120*b208*b563 + 
    440*b208*b564 + 352*b208*b565 + 1320*b208*b566 + 660*b208*b567 + 528*b208*
    b568 + 1980*b208*b569 + 1360*b208*b570 + 1088*b208*b571 + 4080*b208*b572 + 
    1040*b208*b573 + 832*b208*b574 + 3120*b208*b575 + 560*b208*b576 + 448*b208*
    b577 + 1680*b208*b578 + 1500*b208*b579 + 1200*b208*b580 + 4500*b208*b581 + 
    1980*b208*b582 + 1584*b208*b583 + 5940*b208*b584 + 120*b208*b585 + 96*b208*
    b586 + 360*b208*b587 + 1700*b208*b588 + 1360*b208*b589 + 5100*b208*b590 + 
    1300*b208*b591 + 1040*b208*b592 + 3900*b208*b593 + 940*b208*b594 + 752*b208
    *b595 + 2820*b208*b596 + 1800*b208*b597 + 1440*b208*b598 + 5400*b208*b599
     + 1488*b208*b600 + 2046*b208*b601 + 2790*b208*b602 + 2418*b208*b603 + 372*
    b208*b604 + 4092*b208*b605 + 14508*b208*b607 + 16926*b208*b608 + 2418*b208*
    b609 + 10974*b208*b610 + 9114*b208*b611 + 15810*b208*b612 + 15624*b208*b613
     + 1488*b208*b614 + 7068*b208*b615 + 7626*b208*b616 + 10416*b208*b617 + 
    7254*b208*b618 + 9858*b208*b619 + 14322*b208*b620 + 9300*b208*b621 + 5580*
    b208*b622 + 12834*b208*b623 + 740*b208*b624 + 592*b208*b625 + 2220*b208*
    b626 + 5152*b209*b223 + 7084*b209*b224 + 1840*b209*b225 + 7636*b209*b226 + 
    2668*b209*b227 + 5520*b209*b228 + 5244*b209*b229 + 7176*b209*b230 + 5336*
    b209*b232 + 5060*b209*b233 + 1748*b209*b234 + 7820*b209*b235 + 4784*b209*
    b236 + 3128*b209*b237 + 3680*b209*b238 + 6348*b209*b239 + 1104*b209*b240 + 
    7820*b209*b241 + 6624*b209*b242 + 644*b209*b243 + 4508*b209*b244 + 5824*
    b209*b245 + 8008*b209*b246 + 2080*b209*b247 + 8632*b209*b248 + 3016*b209*
    b249 + 6240*b209*b250 + 5928*b209*b251 + 8112*b209*b252 + 6032*b209*b254 + 
    5720*b209*b255 + 1976*b209*b256 + 8840*b209*b257 + 5408*b209*b258 + 3536*
    b209*b259 + 4160*b209*b260 + 7176*b209*b261 + 1248*b209*b262 + 8840*b209*
    b263 + 7488*b209*b264 + 728*b209*b265 + 5096*b209*b266 + 2464*b209*b267 + 
    3388*b209*b268 + 880*b209*b269 + 3652*b209*b270 + 1276*b209*b271 + 2640*
    b209*b272 + 2508*b209*b273 + 3432*b209*b274 + 2552*b209*b276 + 2420*b209*
    b277 + 836*b209*b278 + 3740*b209*b279 + 2288*b209*b280 + 1496*b209*b281 + 
    1760*b209*b282 + 3036*b209*b283 + 528*b209*b284 + 3740*b209*b285 + 3168*
    b209*b286 + 308*b209*b287 + 2156*b209*b288 + 3696*b209*b289 + 5082*b209*
    b290 + 1320*b209*b291 + 5478*b209*b292 + 1914*b209*b293 + 3960*b209*b294 + 
    3762*b209*b295 + 5148*b209*b296 + 3828*b209*b298 + 3630*b209*b299 + 1254*
    b209*b300 + 5610*b209*b301 + 3432*b209*b302 + 2244*b209*b303 + 2640*b209*
    b304 + 4554*b209*b305 + 792*b209*b306 + 5610*b209*b307 + 4752*b209*b308 + 
    462*b209*b309 + 3234*b209*b310 + 7616*b209*b311 + 10472*b209*b312 + 2720*
    b209*b313 + 11288*b209*b314 + 3944*b209*b315 + 8160*b209*b316 + 7752*b209*
    b317 + 10608*b209*b318 + 7888*b209*b320 + 7480*b209*b321 + 2584*b209*b322
     + 11560*b209*b323 + 7072*b209*b324 + 4624*b209*b325 + 5440*b209*b326 + 
    9384*b209*b327 + 1632*b209*b328 + 11560*b209*b329 + 9792*b209*b330 + 952*
    b209*b331 + 6664*b209*b332 + 5824*b209*b333 + 8008*b209*b334 + 2080*b209*
    b335 + 8632*b209*b336 + 3016*b209*b337 + 6240*b209*b338 + 5928*b209*b339 + 
    8112*b209*b340 + 6032*b209*b342 + 5720*b209*b343 + 1976*b209*b344 + 8840*
    b209*b345 + 5408*b209*b346 + 3536*b209*b347 + 4160*b209*b348 + 7176*b209*
    b349 + 1248*b209*b350 + 8840*b209*b351 + 7488*b209*b352 + 728*b209*b353 + 
    5096*b209*b354 + 3136*b209*b355 + 4312*b209*b356 + 1120*b209*b357 + 4648*
    b209*b358 + 1624*b209*b359 + 3360*b209*b360 + 3192*b209*b361 + 4368*b209*
    b362 + 3248*b209*b364 + 3080*b209*b365 + 1064*b209*b366 + 4760*b209*b367 + 
    2912*b209*b368 + 1904*b209*b369 + 2240*b209*b370 + 3864*b209*b371 + 672*
    b209*b372 + 4760*b209*b373 + 4032*b209*b374 + 392*b209*b375 + 2744*b209*
    b376 + 8400*b209*b377 + 11550*b209*b378 + 3000*b209*b379 + 12450*b209*b380
     + 4350*b209*b381 + 9000*b209*b382 + 8550*b209*b383 + 11700*b209*b384 + 
    8700*b209*b386 + 8250*b209*b387 + 2850*b209*b388 + 12750*b209*b389 + 7800*
    b209*b390 + 5100*b209*b391 + 6000*b209*b392 + 10350*b209*b393 + 1800*b209*
    b394 + 12750*b209*b395 + 10800*b209*b396 + 1050*b209*b397 + 7350*b209*b398
     + 11088*b209*b399 + 15246*b209*b400 + 3960*b209*b401 + 16434*b209*b402 + 
    5742*b209*b403 + 11880*b209*b404 + 11286*b209*b405 + 15444*b209*b406 + 
    11484*b209*b408 + 10890*b209*b409 + 3762*b209*b410 + 16830*b209*b411 + 
    10296*b209*b412 + 6732*b209*b413 + 7920*b209*b414 + 13662*b209*b415 + 2376*
    b209*b416 + 16830*b209*b417 + 14256*b209*b418 + 1386*b209*b419 + 9702*b209*
    b420 + 672*b209*b421 + 924*b209*b422 + 240*b209*b423 + 996*b209*b424 + 348*
    b209*b425 + 720*b209*b426 + 684*b209*b427 + 936*b209*b428 + 696*b209*b430
     + 660*b209*b431 + 228*b209*b432 + 1020*b209*b433 + 624*b209*b434 + 408*
    b209*b435 + 480*b209*b436 + 828*b209*b437 + 144*b209*b438 + 1020*b209*b439
     + 864*b209*b440 + 84*b209*b441 + 588*b209*b442 + 9520*b209*b443 + 13090*
    b209*b444 + 3400*b209*b445 + 14110*b209*b446 + 4930*b209*b447 + 10200*b209*
    b448 + 9690*b209*b449 + 13260*b209*b450 + 9860*b209*b452 + 9350*b209*b453
     + 3230*b209*b454 + 14450*b209*b455 + 8840*b209*b456 + 5780*b209*b457 + 
    6800*b209*b458 + 11730*b209*b459 + 2040*b209*b460 + 14450*b209*b461 + 12240
    *b209*b462 + 1190*b209*b463 + 8330*b209*b464 + 7280*b209*b465 + 10010*b209*
    b466 + 2600*b209*b467 + 10790*b209*b468 + 3770*b209*b469 + 7800*b209*b470
     + 7410*b209*b471 + 10140*b209*b472 + 7540*b209*b474 + 7150*b209*b475 + 
    2470*b209*b476 + 11050*b209*b477 + 6760*b209*b478 + 4420*b209*b479 + 5200*
    b209*b480 + 8970*b209*b481 + 1560*b209*b482 + 11050*b209*b483 + 9360*b209*
    b484 + 910*b209*b485 + 6370*b209*b486 + 5264*b209*b487 + 7238*b209*b488 + 
    1880*b209*b489 + 7802*b209*b490 + 2726*b209*b491 + 5640*b209*b492 + 5358*
    b209*b493 + 7332*b209*b494 + 5452*b209*b496 + 5170*b209*b497 + 1786*b209*
    b498 + 7990*b209*b499 + 4888*b209*b500 + 3196*b209*b501 + 3760*b209*b502 + 
    6486*b209*b503 + 1128*b209*b504 + 7990*b209*b505 + 6768*b209*b506 + 658*
    b209*b507 + 4606*b209*b508 + 10080*b209*b509 + 13860*b209*b510 + 3600*b209*
    b511 + 14940*b209*b512 + 5220*b209*b513 + 10800*b209*b514 + 10260*b209*b515
     + 14040*b209*b516 + 10440*b209*b518 + 9900*b209*b519 + 3420*b209*b520 + 
    15300*b209*b521 + 9360*b209*b522 + 6120*b209*b523 + 7200*b209*b524 + 12420*
    b209*b525 + 2160*b209*b526 + 15300*b209*b527 + 12960*b209*b528 + 1260*b209*
    b529 + 8820*b209*b530 + 88*b209*b531 + 1166*b209*b532 + 1012*b209*b533 + 
    744*b209*b534 + 9858*b209*b535 + 8556*b209*b536 + 176*b209*b537 + 2332*b209
    *b538 + 2024*b209*b539 + 576*b209*b540 + 7632*b209*b541 + 6624*b209*b542 + 
    336*b209*b543 + 4452*b209*b544 + 3864*b209*b545 + 568*b209*b546 + 7526*b209
    *b547 + 6532*b209*b548 + 752*b209*b549 + 9964*b209*b550 + 8648*b209*b551 + 
    160*b209*b552 + 2120*b209*b553 + 1840*b209*b554 + 368*b209*b558 + 4876*b209
    *b559 + 4232*b209*b560 + 416*b209*b561 + 5512*b209*b562 + 4784*b209*b563 + 
    176*b209*b564 + 2332*b209*b565 + 2024*b209*b566 + 264*b209*b567 + 3498*b209
    *b568 + 3036*b209*b569 + 544*b209*b570 + 7208*b209*b571 + 6256*b209*b572 + 
    416*b209*b573 + 5512*b209*b574 + 4784*b209*b575 + 224*b209*b576 + 2968*b209
    *b577 + 2576*b209*b578 + 600*b209*b579 + 7950*b209*b580 + 6900*b209*b581 + 
    792*b209*b582 + 10494*b209*b583 + 9108*b209*b584 + 48*b209*b585 + 636*b209*
    b586 + 552*b209*b587 + 680*b209*b588 + 9010*b209*b589 + 7820*b209*b590 + 
    520*b209*b591 + 6890*b209*b592 + 5980*b209*b593 + 376*b209*b594 + 4982*b209
    *b595 + 4324*b209*b596 + 720*b209*b597 + 9540*b209*b598 + 8280*b209*b599 + 
    14322*b209*b600 + 3720*b209*b601 + 15438*b209*b602 + 5394*b209*b603 + 11160
    *b209*b604 + 10602*b209*b605 + 14508*b209*b606 + 10788*b209*b608 + 10230*
    b209*b609 + 3534*b209*b610 + 15810*b209*b611 + 9672*b209*b612 + 6324*b209*
    b613 + 9858*b209*b614 + 7440*b209*b615 + 12834*b209*b616 + 2232*b209*b617
     + 15810*b209*b618 + 13392*b209*b619 + 1302*b209*b620 + 9114*b209*b621 + 
    8556*b209*b622 + 10416*b209*b623 + 296*b209*b624 + 3922*b209*b625 + 3404*
    b209*b626 + 7912*b210*b223 + 6808*b210*b224 + 1932*b210*b225 + 8832*b210*
    b226 + 1012*b210*b227 + 6624*b210*b228 + 5796*b210*b229 + 8372*b210*b230 + 
    5336*b210*b231 + 8004*b210*b233 + 5336*b210*b234 + 1564*b210*b235 + 6256*
    b210*b236 + 2484*b210*b237 + 552*b210*b238 + 6164*b210*b239 + 2392*b210*
    b240 + 7544*b210*b241 + 4048*b210*b242 + 3220*b210*b243 + 276*b210*b244 + 
    8944*b210*b245 + 7696*b210*b246 + 2184*b210*b247 + 9984*b210*b248 + 1144*
    b210*b249 + 7488*b210*b250 + 6552*b210*b251 + 9464*b210*b252 + 6032*b210*
    b253 + 9048*b210*b255 + 6032*b210*b256 + 1768*b210*b257 + 7072*b210*b258 + 
    2808*b210*b259 + 624*b210*b260 + 6968*b210*b261 + 2704*b210*b262 + 8528*
    b210*b263 + 4576*b210*b264 + 3640*b210*b265 + 312*b210*b266 + 3784*b210*
    b267 + 3256*b210*b268 + 924*b210*b269 + 4224*b210*b270 + 484*b210*b271 + 
    3168*b210*b272 + 2772*b210*b273 + 4004*b210*b274 + 2552*b210*b275 + 3828*
    b210*b277 + 2552*b210*b278 + 748*b210*b279 + 2992*b210*b280 + 1188*b210*
    b281 + 264*b210*b282 + 2948*b210*b283 + 1144*b210*b284 + 3608*b210*b285 + 
    1936*b210*b286 + 1540*b210*b287 + 132*b210*b288 + 5676*b210*b289 + 4884*
    b210*b290 + 1386*b210*b291 + 6336*b210*b292 + 726*b210*b293 + 4752*b210*
    b294 + 4158*b210*b295 + 6006*b210*b296 + 3828*b210*b297 + 5742*b210*b299 + 
    3828*b210*b300 + 1122*b210*b301 + 4488*b210*b302 + 1782*b210*b303 + 396*
    b210*b304 + 4422*b210*b305 + 1716*b210*b306 + 5412*b210*b307 + 2904*b210*
    b308 + 2310*b210*b309 + 198*b210*b310 + 11696*b210*b311 + 10064*b210*b312
     + 2856*b210*b313 + 13056*b210*b314 + 1496*b210*b315 + 9792*b210*b316 + 
    8568*b210*b317 + 12376*b210*b318 + 7888*b210*b319 + 11832*b210*b321 + 7888*
    b210*b322 + 2312*b210*b323 + 9248*b210*b324 + 3672*b210*b325 + 816*b210*
    b326 + 9112*b210*b327 + 3536*b210*b328 + 11152*b210*b329 + 5984*b210*b330
     + 4760*b210*b331 + 408*b210*b332 + 8944*b210*b333 + 7696*b210*b334 + 2184*
    b210*b335 + 9984*b210*b336 + 1144*b210*b337 + 7488*b210*b338 + 6552*b210*
    b339 + 9464*b210*b340 + 6032*b210*b341 + 9048*b210*b343 + 6032*b210*b344 + 
    1768*b210*b345 + 7072*b210*b346 + 2808*b210*b347 + 624*b210*b348 + 6968*
    b210*b349 + 2704*b210*b350 + 8528*b210*b351 + 4576*b210*b352 + 3640*b210*
    b353 + 312*b210*b354 + 4816*b210*b355 + 4144*b210*b356 + 1176*b210*b357 + 
    5376*b210*b358 + 616*b210*b359 + 4032*b210*b360 + 3528*b210*b361 + 5096*
    b210*b362 + 3248*b210*b363 + 4872*b210*b365 + 3248*b210*b366 + 952*b210*
    b367 + 3808*b210*b368 + 1512*b210*b369 + 336*b210*b370 + 3752*b210*b371 + 
    1456*b210*b372 + 4592*b210*b373 + 2464*b210*b374 + 1960*b210*b375 + 168*
    b210*b376 + 12900*b210*b377 + 11100*b210*b378 + 3150*b210*b379 + 14400*b210
    *b380 + 1650*b210*b381 + 10800*b210*b382 + 9450*b210*b383 + 13650*b210*b384
     + 8700*b210*b385 + 13050*b210*b387 + 8700*b210*b388 + 2550*b210*b389 + 
    10200*b210*b390 + 4050*b210*b391 + 900*b210*b392 + 10050*b210*b393 + 3900*
    b210*b394 + 12300*b210*b395 + 6600*b210*b396 + 5250*b210*b397 + 450*b210*
    b398 + 17028*b210*b399 + 14652*b210*b400 + 4158*b210*b401 + 19008*b210*b402
     + 2178*b210*b403 + 14256*b210*b404 + 12474*b210*b405 + 18018*b210*b406 + 
    11484*b210*b407 + 17226*b210*b409 + 11484*b210*b410 + 3366*b210*b411 + 
    13464*b210*b412 + 5346*b210*b413 + 1188*b210*b414 + 13266*b210*b415 + 5148*
    b210*b416 + 16236*b210*b417 + 8712*b210*b418 + 6930*b210*b419 + 594*b210*
    b420 + 1032*b210*b421 + 888*b210*b422 + 252*b210*b423 + 1152*b210*b424 + 
    132*b210*b425 + 864*b210*b426 + 756*b210*b427 + 1092*b210*b428 + 696*b210*
    b429 + 1044*b210*b431 + 696*b210*b432 + 204*b210*b433 + 816*b210*b434 + 324
    *b210*b435 + 72*b210*b436 + 804*b210*b437 + 312*b210*b438 + 984*b210*b439
     + 528*b210*b440 + 420*b210*b441 + 36*b210*b442 + 14620*b210*b443 + 12580*
    b210*b444 + 3570*b210*b445 + 16320*b210*b446 + 1870*b210*b447 + 12240*b210*
    b448 + 10710*b210*b449 + 15470*b210*b450 + 9860*b210*b451 + 14790*b210*b453
     + 9860*b210*b454 + 2890*b210*b455 + 11560*b210*b456 + 4590*b210*b457 + 
    1020*b210*b458 + 11390*b210*b459 + 4420*b210*b460 + 13940*b210*b461 + 7480*
    b210*b462 + 5950*b210*b463 + 510*b210*b464 + 11180*b210*b465 + 9620*b210*
    b466 + 2730*b210*b467 + 12480*b210*b468 + 1430*b210*b469 + 9360*b210*b470
     + 8190*b210*b471 + 11830*b210*b472 + 7540*b210*b473 + 11310*b210*b475 + 
    7540*b210*b476 + 2210*b210*b477 + 8840*b210*b478 + 3510*b210*b479 + 780*
    b210*b480 + 8710*b210*b481 + 3380*b210*b482 + 10660*b210*b483 + 5720*b210*
    b484 + 4550*b210*b485 + 390*b210*b486 + 8084*b210*b487 + 6956*b210*b488 + 
    1974*b210*b489 + 9024*b210*b490 + 1034*b210*b491 + 6768*b210*b492 + 5922*
    b210*b493 + 8554*b210*b494 + 5452*b210*b495 + 8178*b210*b497 + 5452*b210*
    b498 + 1598*b210*b499 + 6392*b210*b500 + 2538*b210*b501 + 564*b210*b502 + 
    6298*b210*b503 + 2444*b210*b504 + 7708*b210*b505 + 4136*b210*b506 + 3290*
    b210*b507 + 282*b210*b508 + 15480*b210*b509 + 13320*b210*b510 + 3780*b210*
    b511 + 17280*b210*b512 + 1980*b210*b513 + 12960*b210*b514 + 11340*b210*b515
     + 16380*b210*b516 + 10440*b210*b517 + 15660*b210*b519 + 10440*b210*b520 + 
    3060*b210*b521 + 12240*b210*b522 + 4860*b210*b523 + 1080*b210*b524 + 12060*
    b210*b525 + 4680*b210*b526 + 14760*b210*b527 + 7920*b210*b528 + 6300*b210*
    b529 + 540*b210*b530 + 1386*b210*b531 + 462*b210*b532 + 1364*b210*b533 + 
    11718*b210*b534 + 3906*b210*b535 + 11532*b210*b536 + 2772*b210*b537 + 924*
    b210*b538 + 2728*b210*b539 + 9072*b210*b540 + 3024*b210*b541 + 8928*b210*
    b542 + 5292*b210*b543 + 1764*b210*b544 + 5208*b210*b545 + 8946*b210*b546 + 
    2982*b210*b547 + 8804*b210*b548 + 11844*b210*b549 + 3948*b210*b550 + 11656*
    b210*b551 + 2520*b210*b552 + 840*b210*b553 + 2480*b210*b554 + 5796*b210*
    b558 + 1932*b210*b559 + 5704*b210*b560 + 6552*b210*b561 + 2184*b210*b562 + 
    6448*b210*b563 + 2772*b210*b564 + 924*b210*b565 + 2728*b210*b566 + 4158*
    b210*b567 + 1386*b210*b568 + 4092*b210*b569 + 8568*b210*b570 + 2856*b210*
    b571 + 8432*b210*b572 + 6552*b210*b573 + 2184*b210*b574 + 6448*b210*b575 + 
    3528*b210*b576 + 1176*b210*b577 + 3472*b210*b578 + 9450*b210*b579 + 3150*
    b210*b580 + 9300*b210*b581 + 12474*b210*b582 + 4158*b210*b583 + 12276*b210*
    b584 + 756*b210*b585 + 252*b210*b586 + 744*b210*b587 + 10710*b210*b588 + 
    3570*b210*b589 + 10540*b210*b590 + 8190*b210*b591 + 2730*b210*b592 + 8060*
    b210*b593 + 5922*b210*b594 + 1974*b210*b595 + 5828*b210*b596 + 11340*b210*
    b597 + 3780*b210*b598 + 11160*b210*b599 + 13764*b210*b600 + 3906*b210*b601
     + 17856*b210*b602 + 2046*b210*b603 + 13392*b210*b604 + 11718*b210*b605 + 
    16926*b210*b606 + 10788*b210*b607 + 16182*b210*b609 + 10788*b210*b610 + 
    3162*b210*b611 + 12648*b210*b612 + 5022*b210*b613 + 3906*b210*b614 + 1116*
    b210*b615 + 12462*b210*b616 + 4836*b210*b617 + 15252*b210*b618 + 8184*b210*
    b619 + 6510*b210*b620 + 558*b210*b621 + 11532*b210*b622 + 15996*b210*b623
     + 4662*b210*b624 + 1554*b210*b625 + 4588*b210*b626 + 4140*b211*b223 + 2760
    *b211*b224 + 5612*b211*b225 + 6808*b211*b226 + 7084*b211*b227 + 6808*b211*
    b228 + 552*b211*b229 + 1196*b211*b230 + 5060*b211*b231 + 8004*b211*b232 + 
    736*b211*b234 + 4692*b211*b235 + 92*b211*b236 + 8372*b211*b237 + 8004*b211*
    b238 + 6624*b211*b239 + 4140*b211*b240 + 8832*b211*b241 + 644*b211*b242 + 
    8004*b211*b243 + 6256*b211*b244 + 4680*b211*b245 + 3120*b211*b246 + 6344*
    b211*b247 + 7696*b211*b248 + 8008*b211*b249 + 7696*b211*b250 + 624*b211*
    b251 + 1352*b211*b252 + 5720*b211*b253 + 9048*b211*b254 + 832*b211*b256 + 
    5304*b211*b257 + 104*b211*b258 + 9464*b211*b259 + 9048*b211*b260 + 7488*
    b211*b261 + 4680*b211*b262 + 9984*b211*b263 + 728*b211*b264 + 9048*b211*
    b265 + 7072*b211*b266 + 1980*b211*b267 + 1320*b211*b268 + 2684*b211*b269 + 
    3256*b211*b270 + 3388*b211*b271 + 3256*b211*b272 + 264*b211*b273 + 572*b211
    *b274 + 2420*b211*b275 + 3828*b211*b276 + 352*b211*b278 + 2244*b211*b279 + 
    44*b211*b280 + 4004*b211*b281 + 3828*b211*b282 + 3168*b211*b283 + 1980*b211
    *b284 + 4224*b211*b285 + 308*b211*b286 + 3828*b211*b287 + 2992*b211*b288 + 
    2970*b211*b289 + 1980*b211*b290 + 4026*b211*b291 + 4884*b211*b292 + 5082*
    b211*b293 + 4884*b211*b294 + 396*b211*b295 + 858*b211*b296 + 3630*b211*b297
     + 5742*b211*b298 + 528*b211*b300 + 3366*b211*b301 + 66*b211*b302 + 6006*
    b211*b303 + 5742*b211*b304 + 4752*b211*b305 + 2970*b211*b306 + 6336*b211*
    b307 + 462*b211*b308 + 5742*b211*b309 + 4488*b211*b310 + 6120*b211*b311 + 
    4080*b211*b312 + 8296*b211*b313 + 10064*b211*b314 + 10472*b211*b315 + 10064
    *b211*b316 + 816*b211*b317 + 1768*b211*b318 + 7480*b211*b319 + 11832*b211*
    b320 + 1088*b211*b322 + 6936*b211*b323 + 136*b211*b324 + 12376*b211*b325 + 
    11832*b211*b326 + 9792*b211*b327 + 6120*b211*b328 + 13056*b211*b329 + 952*
    b211*b330 + 11832*b211*b331 + 9248*b211*b332 + 4680*b211*b333 + 3120*b211*
    b334 + 6344*b211*b335 + 7696*b211*b336 + 8008*b211*b337 + 7696*b211*b338 + 
    624*b211*b339 + 1352*b211*b340 + 5720*b211*b341 + 9048*b211*b342 + 832*b211
    *b344 + 5304*b211*b345 + 104*b211*b346 + 9464*b211*b347 + 9048*b211*b348 + 
    7488*b211*b349 + 4680*b211*b350 + 9984*b211*b351 + 728*b211*b352 + 9048*
    b211*b353 + 7072*b211*b354 + 2520*b211*b355 + 1680*b211*b356 + 3416*b211*
    b357 + 4144*b211*b358 + 4312*b211*b359 + 4144*b211*b360 + 336*b211*b361 + 
    728*b211*b362 + 3080*b211*b363 + 4872*b211*b364 + 448*b211*b366 + 2856*b211
    *b367 + 56*b211*b368 + 5096*b211*b369 + 4872*b211*b370 + 4032*b211*b371 + 
    2520*b211*b372 + 5376*b211*b373 + 392*b211*b374 + 4872*b211*b375 + 3808*
    b211*b376 + 6750*b211*b377 + 4500*b211*b378 + 9150*b211*b379 + 11100*b211*
    b380 + 11550*b211*b381 + 11100*b211*b382 + 900*b211*b383 + 1950*b211*b384
     + 8250*b211*b385 + 13050*b211*b386 + 1200*b211*b388 + 7650*b211*b389 + 150
    *b211*b390 + 13650*b211*b391 + 13050*b211*b392 + 10800*b211*b393 + 6750*
    b211*b394 + 14400*b211*b395 + 1050*b211*b396 + 13050*b211*b397 + 10200*b211
    *b398 + 8910*b211*b399 + 5940*b211*b400 + 12078*b211*b401 + 14652*b211*b402
     + 15246*b211*b403 + 14652*b211*b404 + 1188*b211*b405 + 2574*b211*b406 + 
    10890*b211*b407 + 17226*b211*b408 + 1584*b211*b410 + 10098*b211*b411 + 198*
    b211*b412 + 18018*b211*b413 + 17226*b211*b414 + 14256*b211*b415 + 8910*b211
    *b416 + 19008*b211*b417 + 1386*b211*b418 + 17226*b211*b419 + 13464*b211*
    b420 + 540*b211*b421 + 360*b211*b422 + 732*b211*b423 + 888*b211*b424 + 924*
    b211*b425 + 888*b211*b426 + 72*b211*b427 + 156*b211*b428 + 660*b211*b429 + 
    1044*b211*b430 + 96*b211*b432 + 612*b211*b433 + 12*b211*b434 + 1092*b211*
    b435 + 1044*b211*b436 + 864*b211*b437 + 540*b211*b438 + 1152*b211*b439 + 84
    *b211*b440 + 1044*b211*b441 + 816*b211*b442 + 7650*b211*b443 + 5100*b211*
    b444 + 10370*b211*b445 + 12580*b211*b446 + 13090*b211*b447 + 12580*b211*
    b448 + 1020*b211*b449 + 2210*b211*b450 + 9350*b211*b451 + 14790*b211*b452
     + 1360*b211*b454 + 8670*b211*b455 + 170*b211*b456 + 15470*b211*b457 + 
    14790*b211*b458 + 12240*b211*b459 + 7650*b211*b460 + 16320*b211*b461 + 1190
    *b211*b462 + 14790*b211*b463 + 11560*b211*b464 + 5850*b211*b465 + 3900*b211
    *b466 + 7930*b211*b467 + 9620*b211*b468 + 10010*b211*b469 + 9620*b211*b470
     + 780*b211*b471 + 1690*b211*b472 + 7150*b211*b473 + 11310*b211*b474 + 1040
    *b211*b476 + 6630*b211*b477 + 130*b211*b478 + 11830*b211*b479 + 11310*b211*
    b480 + 9360*b211*b481 + 5850*b211*b482 + 12480*b211*b483 + 910*b211*b484 + 
    11310*b211*b485 + 8840*b211*b486 + 4230*b211*b487 + 2820*b211*b488 + 5734*
    b211*b489 + 6956*b211*b490 + 7238*b211*b491 + 6956*b211*b492 + 564*b211*
    b493 + 1222*b211*b494 + 5170*b211*b495 + 8178*b211*b496 + 752*b211*b498 + 
    4794*b211*b499 + 94*b211*b500 + 8554*b211*b501 + 8178*b211*b502 + 6768*b211
    *b503 + 4230*b211*b504 + 9024*b211*b505 + 658*b211*b506 + 8178*b211*b507 + 
    6392*b211*b508 + 8100*b211*b509 + 5400*b211*b510 + 10980*b211*b511 + 13320*
    b211*b512 + 13860*b211*b513 + 13320*b211*b514 + 1080*b211*b515 + 2340*b211*
    b516 + 9900*b211*b517 + 15660*b211*b518 + 1440*b211*b520 + 9180*b211*b521
     + 180*b211*b522 + 16380*b211*b523 + 15660*b211*b524 + 12960*b211*b525 + 
    8100*b211*b526 + 17280*b211*b527 + 1260*b211*b528 + 15660*b211*b529 + 12240
    *b211*b530 + 132*b211*b531 + 858*b211*b532 + 726*b211*b533 + 1116*b211*b534
     + 7254*b211*b535 + 6138*b211*b536 + 264*b211*b537 + 1716*b211*b538 + 1452*
    b211*b539 + 864*b211*b540 + 5616*b211*b541 + 4752*b211*b542 + 504*b211*b543
     + 3276*b211*b544 + 2772*b211*b545 + 852*b211*b546 + 5538*b211*b547 + 4686*
    b211*b548 + 1128*b211*b549 + 7332*b211*b550 + 6204*b211*b551 + 240*b211*
    b552 + 1560*b211*b553 + 1320*b211*b554 + 552*b211*b558 + 3588*b211*b559 + 
    3036*b211*b560 + 624*b211*b561 + 4056*b211*b562 + 3432*b211*b563 + 264*b211
    *b564 + 1716*b211*b565 + 1452*b211*b566 + 396*b211*b567 + 2574*b211*b568 + 
    2178*b211*b569 + 816*b211*b570 + 5304*b211*b571 + 4488*b211*b572 + 624*b211
    *b573 + 4056*b211*b574 + 3432*b211*b575 + 336*b211*b576 + 2184*b211*b577 + 
    1848*b211*b578 + 900*b211*b579 + 5850*b211*b580 + 4950*b211*b581 + 1188*
    b211*b582 + 7722*b211*b583 + 6534*b211*b584 + 72*b211*b585 + 468*b211*b586
     + 396*b211*b587 + 1020*b211*b588 + 6630*b211*b589 + 5610*b211*b590 + 780*
    b211*b591 + 5070*b211*b592 + 4290*b211*b593 + 564*b211*b594 + 3666*b211*
    b595 + 3102*b211*b596 + 1080*b211*b597 + 7020*b211*b598 + 5940*b211*b599 + 
    5580*b211*b600 + 11346*b211*b601 + 13764*b211*b602 + 14322*b211*b603 + 
    13764*b211*b604 + 1116*b211*b605 + 2418*b211*b606 + 10230*b211*b607 + 16182
    *b211*b608 + 1488*b211*b610 + 9486*b211*b611 + 186*b211*b612 + 16926*b211*
    b613 + 7254*b211*b614 + 16182*b211*b615 + 13392*b211*b616 + 8370*b211*b617
     + 17856*b211*b618 + 1302*b211*b619 + 16182*b211*b620 + 12648*b211*b621 + 
    6138*b211*b622 + 8370*b211*b623 + 444*b211*b624 + 2886*b211*b625 + 2442*
    b211*b626 + 8372*b212*b223 + 8188*b212*b224 + 7360*b212*b225 + 4140*b212*
    b226 + 2944*b212*b227 + 4232*b212*b228 + 5428*b212*b230 + 1748*b212*b231 + 
    5336*b212*b232 + 736*b212*b233 + 276*b212*b235 + 1932*b212*b236 + 8280*b212
    *b237 + 4324*b212*b238 + 2300*b212*b239 + 2760*b212*b240 + 3956*b212*b241
     + 8924*b212*b242 + 3036*b212*b243 + 3220*b212*b244 + 9464*b212*b245 + 9256
    *b212*b246 + 8320*b212*b247 + 4680*b212*b248 + 3328*b212*b249 + 4784*b212*
    b250 + 6136*b212*b252 + 1976*b212*b253 + 6032*b212*b254 + 832*b212*b255 + 
    312*b212*b257 + 2184*b212*b258 + 9360*b212*b259 + 4888*b212*b260 + 2600*
    b212*b261 + 3120*b212*b262 + 4472*b212*b263 + 10088*b212*b264 + 3432*b212*
    b265 + 3640*b212*b266 + 4004*b212*b267 + 3916*b212*b268 + 3520*b212*b269 + 
    1980*b212*b270 + 1408*b212*b271 + 2024*b212*b272 + 2596*b212*b274 + 836*
    b212*b275 + 2552*b212*b276 + 352*b212*b277 + 132*b212*b279 + 924*b212*b280
     + 3960*b212*b281 + 2068*b212*b282 + 1100*b212*b283 + 1320*b212*b284 + 1892
    *b212*b285 + 4268*b212*b286 + 1452*b212*b287 + 1540*b212*b288 + 6006*b212*
    b289 + 5874*b212*b290 + 5280*b212*b291 + 2970*b212*b292 + 2112*b212*b293 + 
    3036*b212*b294 + 3894*b212*b296 + 1254*b212*b297 + 3828*b212*b298 + 528*
    b212*b299 + 198*b212*b301 + 1386*b212*b302 + 5940*b212*b303 + 3102*b212*
    b304 + 1650*b212*b305 + 1980*b212*b306 + 2838*b212*b307 + 6402*b212*b308 + 
    2178*b212*b309 + 2310*b212*b310 + 12376*b212*b311 + 12104*b212*b312 + 10880
    *b212*b313 + 6120*b212*b314 + 4352*b212*b315 + 6256*b212*b316 + 8024*b212*
    b318 + 2584*b212*b319 + 7888*b212*b320 + 1088*b212*b321 + 408*b212*b323 + 
    2856*b212*b324 + 12240*b212*b325 + 6392*b212*b326 + 3400*b212*b327 + 4080*
    b212*b328 + 5848*b212*b329 + 13192*b212*b330 + 4488*b212*b331 + 4760*b212*
    b332 + 9464*b212*b333 + 9256*b212*b334 + 8320*b212*b335 + 4680*b212*b336 + 
    3328*b212*b337 + 4784*b212*b338 + 6136*b212*b340 + 1976*b212*b341 + 6032*
    b212*b342 + 832*b212*b343 + 312*b212*b345 + 2184*b212*b346 + 9360*b212*b347
     + 4888*b212*b348 + 2600*b212*b349 + 3120*b212*b350 + 4472*b212*b351 + 
    10088*b212*b352 + 3432*b212*b353 + 3640*b212*b354 + 5096*b212*b355 + 4984*
    b212*b356 + 4480*b212*b357 + 2520*b212*b358 + 1792*b212*b359 + 2576*b212*
    b360 + 3304*b212*b362 + 1064*b212*b363 + 3248*b212*b364 + 448*b212*b365 + 
    168*b212*b367 + 1176*b212*b368 + 5040*b212*b369 + 2632*b212*b370 + 1400*
    b212*b371 + 1680*b212*b372 + 2408*b212*b373 + 5432*b212*b374 + 1848*b212*
    b375 + 1960*b212*b376 + 13650*b212*b377 + 13350*b212*b378 + 12000*b212*b379
     + 6750*b212*b380 + 4800*b212*b381 + 6900*b212*b382 + 8850*b212*b384 + 2850
    *b212*b385 + 8700*b212*b386 + 1200*b212*b387 + 450*b212*b389 + 3150*b212*
    b390 + 13500*b212*b391 + 7050*b212*b392 + 3750*b212*b393 + 4500*b212*b394
     + 6450*b212*b395 + 14550*b212*b396 + 4950*b212*b397 + 5250*b212*b398 + 
    18018*b212*b399 + 17622*b212*b400 + 15840*b212*b401 + 8910*b212*b402 + 6336
    *b212*b403 + 9108*b212*b404 + 11682*b212*b406 + 3762*b212*b407 + 11484*b212
    *b408 + 1584*b212*b409 + 594*b212*b411 + 4158*b212*b412 + 17820*b212*b413
     + 9306*b212*b414 + 4950*b212*b415 + 5940*b212*b416 + 8514*b212*b417 + 
    19206*b212*b418 + 6534*b212*b419 + 6930*b212*b420 + 1092*b212*b421 + 1068*
    b212*b422 + 960*b212*b423 + 540*b212*b424 + 384*b212*b425 + 552*b212*b426
     + 708*b212*b428 + 228*b212*b429 + 696*b212*b430 + 96*b212*b431 + 36*b212*
    b433 + 252*b212*b434 + 1080*b212*b435 + 564*b212*b436 + 300*b212*b437 + 360
    *b212*b438 + 516*b212*b439 + 1164*b212*b440 + 396*b212*b441 + 420*b212*b442
     + 15470*b212*b443 + 15130*b212*b444 + 13600*b212*b445 + 7650*b212*b446 + 
    5440*b212*b447 + 7820*b212*b448 + 10030*b212*b450 + 3230*b212*b451 + 9860*
    b212*b452 + 1360*b212*b453 + 510*b212*b455 + 3570*b212*b456 + 15300*b212*
    b457 + 7990*b212*b458 + 4250*b212*b459 + 5100*b212*b460 + 7310*b212*b461 + 
    16490*b212*b462 + 5610*b212*b463 + 5950*b212*b464 + 11830*b212*b465 + 11570
    *b212*b466 + 10400*b212*b467 + 5850*b212*b468 + 4160*b212*b469 + 5980*b212*
    b470 + 7670*b212*b472 + 2470*b212*b473 + 7540*b212*b474 + 1040*b212*b475 + 
    390*b212*b477 + 2730*b212*b478 + 11700*b212*b479 + 6110*b212*b480 + 3250*
    b212*b481 + 3900*b212*b482 + 5590*b212*b483 + 12610*b212*b484 + 4290*b212*
    b485 + 4550*b212*b486 + 8554*b212*b487 + 8366*b212*b488 + 7520*b212*b489 + 
    4230*b212*b490 + 3008*b212*b491 + 4324*b212*b492 + 5546*b212*b494 + 1786*
    b212*b495 + 5452*b212*b496 + 752*b212*b497 + 282*b212*b499 + 1974*b212*b500
     + 8460*b212*b501 + 4418*b212*b502 + 2350*b212*b503 + 2820*b212*b504 + 4042
    *b212*b505 + 9118*b212*b506 + 3102*b212*b507 + 3290*b212*b508 + 16380*b212*
    b509 + 16020*b212*b510 + 14400*b212*b511 + 8100*b212*b512 + 5760*b212*b513
     + 8280*b212*b514 + 10620*b212*b516 + 3420*b212*b517 + 10440*b212*b518 + 
    1440*b212*b519 + 540*b212*b521 + 3780*b212*b522 + 16200*b212*b523 + 8460*
    b212*b524 + 4500*b212*b525 + 5400*b212*b526 + 7740*b212*b527 + 17460*b212*
    b528 + 5940*b212*b529 + 6300*b212*b530 + 968*b212*b531 + 990*b212*b532 + 
    1342*b212*b533 + 8184*b212*b534 + 8370*b212*b535 + 11346*b212*b536 + 1936*
    b212*b537 + 1980*b212*b538 + 2684*b212*b539 + 6336*b212*b540 + 6480*b212*
    b541 + 8784*b212*b542 + 3696*b212*b543 + 3780*b212*b544 + 5124*b212*b545 + 
    6248*b212*b546 + 6390*b212*b547 + 8662*b212*b548 + 8272*b212*b549 + 8460*
    b212*b550 + 11468*b212*b551 + 1760*b212*b552 + 1800*b212*b553 + 2440*b212*
    b554 + 4048*b212*b558 + 4140*b212*b559 + 5612*b212*b560 + 4576*b212*b561 + 
    4680*b212*b562 + 6344*b212*b563 + 1936*b212*b564 + 1980*b212*b565 + 2684*
    b212*b566 + 2904*b212*b567 + 2970*b212*b568 + 4026*b212*b569 + 5984*b212*
    b570 + 6120*b212*b571 + 8296*b212*b572 + 4576*b212*b573 + 4680*b212*b574 + 
    6344*b212*b575 + 2464*b212*b576 + 2520*b212*b577 + 3416*b212*b578 + 6600*
    b212*b579 + 6750*b212*b580 + 9150*b212*b581 + 8712*b212*b582 + 8910*b212*
    b583 + 12078*b212*b584 + 528*b212*b585 + 540*b212*b586 + 732*b212*b587 + 
    7480*b212*b588 + 7650*b212*b589 + 10370*b212*b590 + 5720*b212*b591 + 5850*
    b212*b592 + 7930*b212*b593 + 4136*b212*b594 + 4230*b212*b595 + 5734*b212*
    b596 + 7920*b212*b597 + 8100*b212*b598 + 10980*b212*b599 + 16554*b212*b600
     + 14880*b212*b601 + 8370*b212*b602 + 5952*b212*b603 + 8556*b212*b604 + 
    10974*b212*b606 + 3534*b212*b607 + 10788*b212*b608 + 1488*b212*b609 + 558*
    b212*b611 + 3906*b212*b612 + 16740*b212*b613 + 8370*b212*b614 + 8742*b212*
    b615 + 4650*b212*b616 + 5580*b212*b617 + 7998*b212*b618 + 18042*b212*b619
     + 6138*b212*b620 + 6510*b212*b621 + 11346*b212*b622 + 16926*b212*b623 + 
    3256*b212*b624 + 3330*b212*b625 + 4514*b212*b626 + 5428*b213*b223 + 6992*
    b213*b224 + 5336*b213*b225 + 5980*b213*b226 + 8004*b213*b227 + 1196*b213*
    b228 + 5704*b213*b229 + 4508*b213*b230 + 7820*b213*b231 + 1564*b213*b232 + 
    4692*b213*b233 + 276*b213*b234 + 3864*b213*b236 + 3312*b213*b237 + 644*b213
    *b238 + 7728*b213*b239 + 552*b213*b240 + 4416*b213*b243 + 5704*b213*b244 + 
    6136*b213*b245 + 7904*b213*b246 + 6032*b213*b247 + 6760*b213*b248 + 9048*
    b213*b249 + 1352*b213*b250 + 6448*b213*b251 + 5096*b213*b252 + 8840*b213*
    b253 + 1768*b213*b254 + 5304*b213*b255 + 312*b213*b256 + 4368*b213*b258 + 
    3744*b213*b259 + 728*b213*b260 + 8736*b213*b261 + 624*b213*b262 + 4992*b213
    *b265 + 6448*b213*b266 + 2596*b213*b267 + 3344*b213*b268 + 2552*b213*b269
     + 2860*b213*b270 + 3828*b213*b271 + 572*b213*b272 + 2728*b213*b273 + 2156*
    b213*b274 + 3740*b213*b275 + 748*b213*b276 + 2244*b213*b277 + 132*b213*b278
     + 1848*b213*b280 + 1584*b213*b281 + 308*b213*b282 + 3696*b213*b283 + 264*
    b213*b284 + 2112*b213*b287 + 2728*b213*b288 + 3894*b213*b289 + 5016*b213*
    b290 + 3828*b213*b291 + 4290*b213*b292 + 5742*b213*b293 + 858*b213*b294 + 
    4092*b213*b295 + 3234*b213*b296 + 5610*b213*b297 + 1122*b213*b298 + 3366*
    b213*b299 + 198*b213*b300 + 2772*b213*b302 + 2376*b213*b303 + 462*b213*b304
     + 5544*b213*b305 + 396*b213*b306 + 3168*b213*b309 + 4092*b213*b310 + 8024*
    b213*b311 + 10336*b213*b312 + 7888*b213*b313 + 8840*b213*b314 + 11832*b213*
    b315 + 1768*b213*b316 + 8432*b213*b317 + 6664*b213*b318 + 11560*b213*b319
     + 2312*b213*b320 + 6936*b213*b321 + 408*b213*b322 + 5712*b213*b324 + 4896*
    b213*b325 + 952*b213*b326 + 11424*b213*b327 + 816*b213*b328 + 6528*b213*
    b331 + 8432*b213*b332 + 6136*b213*b333 + 7904*b213*b334 + 6032*b213*b335 + 
    6760*b213*b336 + 9048*b213*b337 + 1352*b213*b338 + 6448*b213*b339 + 5096*
    b213*b340 + 8840*b213*b341 + 1768*b213*b342 + 5304*b213*b343 + 312*b213*
    b344 + 4368*b213*b346 + 3744*b213*b347 + 728*b213*b348 + 8736*b213*b349 + 
    624*b213*b350 + 4992*b213*b353 + 6448*b213*b354 + 3304*b213*b355 + 4256*
    b213*b356 + 3248*b213*b357 + 3640*b213*b358 + 4872*b213*b359 + 728*b213*
    b360 + 3472*b213*b361 + 2744*b213*b362 + 4760*b213*b363 + 952*b213*b364 + 
    2856*b213*b365 + 168*b213*b366 + 2352*b213*b368 + 2016*b213*b369 + 392*b213
    *b370 + 4704*b213*b371 + 336*b213*b372 + 2688*b213*b375 + 3472*b213*b376 + 
    8850*b213*b377 + 11400*b213*b378 + 8700*b213*b379 + 9750*b213*b380 + 13050*
    b213*b381 + 1950*b213*b382 + 9300*b213*b383 + 7350*b213*b384 + 12750*b213*
    b385 + 2550*b213*b386 + 7650*b213*b387 + 450*b213*b388 + 6300*b213*b390 + 
    5400*b213*b391 + 1050*b213*b392 + 12600*b213*b393 + 900*b213*b394 + 7200*
    b213*b397 + 9300*b213*b398 + 11682*b213*b399 + 15048*b213*b400 + 11484*b213
    *b401 + 12870*b213*b402 + 17226*b213*b403 + 2574*b213*b404 + 12276*b213*
    b405 + 9702*b213*b406 + 16830*b213*b407 + 3366*b213*b408 + 10098*b213*b409
     + 594*b213*b410 + 8316*b213*b412 + 7128*b213*b413 + 1386*b213*b414 + 16632
    *b213*b415 + 1188*b213*b416 + 9504*b213*b419 + 12276*b213*b420 + 708*b213*
    b421 + 912*b213*b422 + 696*b213*b423 + 780*b213*b424 + 1044*b213*b425 + 156
    *b213*b426 + 744*b213*b427 + 588*b213*b428 + 1020*b213*b429 + 204*b213*b430
     + 612*b213*b431 + 36*b213*b432 + 504*b213*b434 + 432*b213*b435 + 84*b213*
    b436 + 1008*b213*b437 + 72*b213*b438 + 576*b213*b441 + 744*b213*b442 + 
    10030*b213*b443 + 12920*b213*b444 + 9860*b213*b445 + 11050*b213*b446 + 
    14790*b213*b447 + 2210*b213*b448 + 10540*b213*b449 + 8330*b213*b450 + 14450
    *b213*b451 + 2890*b213*b452 + 8670*b213*b453 + 510*b213*b454 + 7140*b213*
    b456 + 6120*b213*b457 + 1190*b213*b458 + 14280*b213*b459 + 1020*b213*b460
     + 8160*b213*b463 + 10540*b213*b464 + 7670*b213*b465 + 9880*b213*b466 + 
    7540*b213*b467 + 8450*b213*b468 + 11310*b213*b469 + 1690*b213*b470 + 8060*
    b213*b471 + 6370*b213*b472 + 11050*b213*b473 + 2210*b213*b474 + 6630*b213*
    b475 + 390*b213*b476 + 5460*b213*b478 + 4680*b213*b479 + 910*b213*b480 + 
    10920*b213*b481 + 780*b213*b482 + 6240*b213*b485 + 8060*b213*b486 + 5546*
    b213*b487 + 7144*b213*b488 + 5452*b213*b489 + 6110*b213*b490 + 8178*b213*
    b491 + 1222*b213*b492 + 5828*b213*b493 + 4606*b213*b494 + 7990*b213*b495 + 
    1598*b213*b496 + 4794*b213*b497 + 282*b213*b498 + 3948*b213*b500 + 3384*
    b213*b501 + 658*b213*b502 + 7896*b213*b503 + 564*b213*b504 + 4512*b213*b507
     + 5828*b213*b508 + 10620*b213*b509 + 13680*b213*b510 + 10440*b213*b511 + 
    11700*b213*b512 + 15660*b213*b513 + 2340*b213*b514 + 11160*b213*b515 + 8820
    *b213*b516 + 15300*b213*b517 + 3060*b213*b518 + 9180*b213*b519 + 540*b213*
    b520 + 7560*b213*b522 + 6480*b213*b523 + 1260*b213*b524 + 15120*b213*b525
     + 1080*b213*b526 + 8640*b213*b529 + 11160*b213*b530 + 880*b213*b531 + 946*
    b213*b532 + 1298*b213*b533 + 7440*b213*b534 + 7998*b213*b535 + 10974*b213*
    b536 + 1760*b213*b537 + 1892*b213*b538 + 2596*b213*b539 + 5760*b213*b540 + 
    6192*b213*b541 + 8496*b213*b542 + 3360*b213*b543 + 3612*b213*b544 + 4956*
    b213*b545 + 5680*b213*b546 + 6106*b213*b547 + 8378*b213*b548 + 7520*b213*
    b549 + 8084*b213*b550 + 11092*b213*b551 + 1600*b213*b552 + 1720*b213*b553
     + 2360*b213*b554 + 3680*b213*b558 + 3956*b213*b559 + 5428*b213*b560 + 4160
    *b213*b561 + 4472*b213*b562 + 6136*b213*b563 + 1760*b213*b564 + 1892*b213*
    b565 + 2596*b213*b566 + 2640*b213*b567 + 2838*b213*b568 + 3894*b213*b569 + 
    5440*b213*b570 + 5848*b213*b571 + 8024*b213*b572 + 4160*b213*b573 + 4472*
    b213*b574 + 6136*b213*b575 + 2240*b213*b576 + 2408*b213*b577 + 3304*b213*
    b578 + 6000*b213*b579 + 6450*b213*b580 + 8850*b213*b581 + 7920*b213*b582 + 
    8514*b213*b583 + 11682*b213*b584 + 480*b213*b585 + 516*b213*b586 + 708*b213
    *b587 + 6800*b213*b588 + 7310*b213*b589 + 10030*b213*b590 + 5200*b213*b591
     + 5590*b213*b592 + 7670*b213*b593 + 3760*b213*b594 + 4042*b213*b595 + 5546
    *b213*b596 + 7200*b213*b597 + 7740*b213*b598 + 10620*b213*b599 + 14136*b213
    *b600 + 10788*b213*b601 + 12090*b213*b602 + 16182*b213*b603 + 2418*b213*
    b604 + 11532*b213*b605 + 9114*b213*b606 + 15810*b213*b607 + 3162*b213*b608
     + 9486*b213*b609 + 558*b213*b610 + 7812*b213*b612 + 6696*b213*b613 + 7998*
    b213*b614 + 1302*b213*b615 + 15624*b213*b616 + 1116*b213*b617 + 8928*b213*
    b620 + 11532*b213*b621 + 10974*b213*b622 + 10974*b213*b623 + 2960*b213*b624
     + 3182*b213*b625 + 4366*b213*b626 + 1656*b214*b223 + 6992*b214*b224 + 1932
    *b214*b225 + 3680*b214*b226 + 6164*b214*b227 + 1840*b214*b228 + 3772*b214*
    b229 + 7820*b214*b230 + 4784*b214*b231 + 6256*b214*b232 + 92*b214*b233 + 
    1932*b214*b234 + 3864*b214*b235 + 2668*b214*b237 + 7544*b214*b238 + 2668*
    b214*b239 + 276*b214*b240 + 276*b214*b241 + 4692*b214*b242 + 6164*b214*b243
     + 3588*b214*b244 + 1872*b214*b245 + 7904*b214*b246 + 2184*b214*b247 + 4160
    *b214*b248 + 6968*b214*b249 + 2080*b214*b250 + 4264*b214*b251 + 8840*b214*
    b252 + 5408*b214*b253 + 7072*b214*b254 + 104*b214*b255 + 2184*b214*b256 + 
    4368*b214*b257 + 3016*b214*b259 + 8528*b214*b260 + 3016*b214*b261 + 312*
    b214*b262 + 312*b214*b263 + 5304*b214*b264 + 6968*b214*b265 + 4056*b214*
    b266 + 792*b214*b267 + 3344*b214*b268 + 924*b214*b269 + 1760*b214*b270 + 
    2948*b214*b271 + 880*b214*b272 + 1804*b214*b273 + 3740*b214*b274 + 2288*
    b214*b275 + 2992*b214*b276 + 44*b214*b277 + 924*b214*b278 + 1848*b214*b279
     + 1276*b214*b281 + 3608*b214*b282 + 1276*b214*b283 + 132*b214*b284 + 132*
    b214*b285 + 2244*b214*b286 + 2948*b214*b287 + 1716*b214*b288 + 1188*b214*
    b289 + 5016*b214*b290 + 1386*b214*b291 + 2640*b214*b292 + 4422*b214*b293 + 
    1320*b214*b294 + 2706*b214*b295 + 5610*b214*b296 + 3432*b214*b297 + 4488*
    b214*b298 + 66*b214*b299 + 1386*b214*b300 + 2772*b214*b301 + 1914*b214*b303
     + 5412*b214*b304 + 1914*b214*b305 + 198*b214*b306 + 198*b214*b307 + 3366*
    b214*b308 + 4422*b214*b309 + 2574*b214*b310 + 2448*b214*b311 + 10336*b214*
    b312 + 2856*b214*b313 + 5440*b214*b314 + 9112*b214*b315 + 2720*b214*b316 + 
    5576*b214*b317 + 11560*b214*b318 + 7072*b214*b319 + 9248*b214*b320 + 136*
    b214*b321 + 2856*b214*b322 + 5712*b214*b323 + 3944*b214*b325 + 11152*b214*
    b326 + 3944*b214*b327 + 408*b214*b328 + 408*b214*b329 + 6936*b214*b330 + 
    9112*b214*b331 + 5304*b214*b332 + 1872*b214*b333 + 7904*b214*b334 + 2184*
    b214*b335 + 4160*b214*b336 + 6968*b214*b337 + 2080*b214*b338 + 4264*b214*
    b339 + 8840*b214*b340 + 5408*b214*b341 + 7072*b214*b342 + 104*b214*b343 + 
    2184*b214*b344 + 4368*b214*b345 + 3016*b214*b347 + 8528*b214*b348 + 3016*
    b214*b349 + 312*b214*b350 + 312*b214*b351 + 5304*b214*b352 + 6968*b214*b353
     + 4056*b214*b354 + 1008*b214*b355 + 4256*b214*b356 + 1176*b214*b357 + 2240
    *b214*b358 + 3752*b214*b359 + 1120*b214*b360 + 2296*b214*b361 + 4760*b214*
    b362 + 2912*b214*b363 + 3808*b214*b364 + 56*b214*b365 + 1176*b214*b366 + 
    2352*b214*b367 + 1624*b214*b369 + 4592*b214*b370 + 1624*b214*b371 + 168*
    b214*b372 + 168*b214*b373 + 2856*b214*b374 + 3752*b214*b375 + 2184*b214*
    b376 + 2700*b214*b377 + 11400*b214*b378 + 3150*b214*b379 + 6000*b214*b380
     + 10050*b214*b381 + 3000*b214*b382 + 6150*b214*b383 + 12750*b214*b384 + 
    7800*b214*b385 + 10200*b214*b386 + 150*b214*b387 + 3150*b214*b388 + 6300*
    b214*b389 + 4350*b214*b391 + 12300*b214*b392 + 4350*b214*b393 + 450*b214*
    b394 + 450*b214*b395 + 7650*b214*b396 + 10050*b214*b397 + 5850*b214*b398 + 
    3564*b214*b399 + 15048*b214*b400 + 4158*b214*b401 + 7920*b214*b402 + 13266*
    b214*b403 + 3960*b214*b404 + 8118*b214*b405 + 16830*b214*b406 + 10296*b214*
    b407 + 13464*b214*b408 + 198*b214*b409 + 4158*b214*b410 + 8316*b214*b411 + 
    5742*b214*b413 + 16236*b214*b414 + 5742*b214*b415 + 594*b214*b416 + 594*
    b214*b417 + 10098*b214*b418 + 13266*b214*b419 + 7722*b214*b420 + 216*b214*
    b421 + 912*b214*b422 + 252*b214*b423 + 480*b214*b424 + 804*b214*b425 + 240*
    b214*b426 + 492*b214*b427 + 1020*b214*b428 + 624*b214*b429 + 816*b214*b430
     + 12*b214*b431 + 252*b214*b432 + 504*b214*b433 + 348*b214*b435 + 984*b214*
    b436 + 348*b214*b437 + 36*b214*b438 + 36*b214*b439 + 612*b214*b440 + 804*
    b214*b441 + 468*b214*b442 + 3060*b214*b443 + 12920*b214*b444 + 3570*b214*
    b445 + 6800*b214*b446 + 11390*b214*b447 + 3400*b214*b448 + 6970*b214*b449
     + 14450*b214*b450 + 8840*b214*b451 + 11560*b214*b452 + 170*b214*b453 + 
    3570*b214*b454 + 7140*b214*b455 + 4930*b214*b457 + 13940*b214*b458 + 4930*
    b214*b459 + 510*b214*b460 + 510*b214*b461 + 8670*b214*b462 + 11390*b214*
    b463 + 6630*b214*b464 + 2340*b214*b465 + 9880*b214*b466 + 2730*b214*b467 + 
    5200*b214*b468 + 8710*b214*b469 + 2600*b214*b470 + 5330*b214*b471 + 11050*
    b214*b472 + 6760*b214*b473 + 8840*b214*b474 + 130*b214*b475 + 2730*b214*
    b476 + 5460*b214*b477 + 3770*b214*b479 + 10660*b214*b480 + 3770*b214*b481
     + 390*b214*b482 + 390*b214*b483 + 6630*b214*b484 + 8710*b214*b485 + 5070*
    b214*b486 + 1692*b214*b487 + 7144*b214*b488 + 1974*b214*b489 + 3760*b214*
    b490 + 6298*b214*b491 + 1880*b214*b492 + 3854*b214*b493 + 7990*b214*b494 + 
    4888*b214*b495 + 6392*b214*b496 + 94*b214*b497 + 1974*b214*b498 + 3948*b214
    *b499 + 2726*b214*b501 + 7708*b214*b502 + 2726*b214*b503 + 282*b214*b504 + 
    282*b214*b505 + 4794*b214*b506 + 6298*b214*b507 + 3666*b214*b508 + 3240*
    b214*b509 + 13680*b214*b510 + 3780*b214*b511 + 7200*b214*b512 + 12060*b214*
    b513 + 3600*b214*b514 + 7380*b214*b515 + 15300*b214*b516 + 9360*b214*b517
     + 12240*b214*b518 + 180*b214*b519 + 3780*b214*b520 + 7560*b214*b521 + 5220
    *b214*b523 + 14760*b214*b524 + 5220*b214*b525 + 540*b214*b526 + 540*b214*
    b527 + 9180*b214*b528 + 12060*b214*b529 + 7020*b214*b530 + 1650*b214*b531
     + 2068*b214*b532 + 330*b214*b533 + 13950*b214*b534 + 17484*b214*b535 + 
    2790*b214*b536 + 3300*b214*b537 + 4136*b214*b538 + 660*b214*b539 + 10800*
    b214*b540 + 13536*b214*b541 + 2160*b214*b542 + 6300*b214*b543 + 7896*b214*
    b544 + 1260*b214*b545 + 10650*b214*b546 + 13348*b214*b547 + 2130*b214*b548
     + 14100*b214*b549 + 17672*b214*b550 + 2820*b214*b551 + 3000*b214*b552 + 
    3760*b214*b553 + 600*b214*b554 + 6900*b214*b558 + 8648*b214*b559 + 1380*
    b214*b560 + 7800*b214*b561 + 9776*b214*b562 + 1560*b214*b563 + 3300*b214*
    b564 + 4136*b214*b565 + 660*b214*b566 + 4950*b214*b567 + 6204*b214*b568 + 
    990*b214*b569 + 10200*b214*b570 + 12784*b214*b571 + 2040*b214*b572 + 7800*
    b214*b573 + 9776*b214*b574 + 1560*b214*b575 + 4200*b214*b576 + 5264*b214*
    b577 + 840*b214*b578 + 11250*b214*b579 + 14100*b214*b580 + 2250*b214*b581
     + 14850*b214*b582 + 18612*b214*b583 + 2970*b214*b584 + 900*b214*b585 + 
    1128*b214*b586 + 180*b214*b587 + 12750*b214*b588 + 15980*b214*b589 + 2550*
    b214*b590 + 9750*b214*b591 + 12220*b214*b592 + 1950*b214*b593 + 7050*b214*
    b594 + 8836*b214*b595 + 1410*b214*b596 + 13500*b214*b597 + 16920*b214*b598
     + 2700*b214*b599 + 14136*b214*b600 + 3906*b214*b601 + 7440*b214*b602 + 
    12462*b214*b603 + 3720*b214*b604 + 7626*b214*b605 + 15810*b214*b606 + 9672*
    b214*b607 + 12648*b214*b608 + 186*b214*b609 + 3906*b214*b610 + 7812*b214*
    b611 + 5394*b214*b613 + 17484*b214*b614 + 15252*b214*b615 + 5394*b214*b616
     + 558*b214*b617 + 558*b214*b618 + 9486*b214*b619 + 12462*b214*b620 + 7254*
    b214*b621 + 2790*b214*b622 + 3348*b214*b623 + 5550*b214*b624 + 6956*b214*
    b625 + 1110*b214*b626 + 6992*b215*b223 + 3680*b215*b224 + 6992*b215*b225 + 
    4968*b215*b226 + 8648*b215*b227 + 7912*b215*b228 + 5704*b215*b229 + 7728*
    b215*b230 + 3128*b215*b231 + 2484*b215*b232 + 8372*b215*b233 + 8280*b215*
    b234 + 3312*b215*b235 + 2668*b215*b236 + 3864*b215*b238 + 2116*b215*b239 + 
    5704*b215*b240 + 5704*b215*b241 + 2576*b215*b242 + 6992*b215*b243 + 6072*
    b215*b244 + 7904*b215*b245 + 4160*b215*b246 + 7904*b215*b247 + 5616*b215*
    b248 + 9776*b215*b249 + 8944*b215*b250 + 6448*b215*b251 + 8736*b215*b252 + 
    3536*b215*b253 + 2808*b215*b254 + 9464*b215*b255 + 9360*b215*b256 + 3744*
    b215*b257 + 3016*b215*b258 + 4368*b215*b260 + 2392*b215*b261 + 6448*b215*
    b262 + 6448*b215*b263 + 2912*b215*b264 + 7904*b215*b265 + 6864*b215*b266 + 
    3344*b215*b267 + 1760*b215*b268 + 3344*b215*b269 + 2376*b215*b270 + 4136*
    b215*b271 + 3784*b215*b272 + 2728*b215*b273 + 3696*b215*b274 + 1496*b215*
    b275 + 1188*b215*b276 + 4004*b215*b277 + 3960*b215*b278 + 1584*b215*b279 + 
    1276*b215*b280 + 1848*b215*b282 + 1012*b215*b283 + 2728*b215*b284 + 2728*
    b215*b285 + 1232*b215*b286 + 3344*b215*b287 + 2904*b215*b288 + 5016*b215*
    b289 + 2640*b215*b290 + 5016*b215*b291 + 3564*b215*b292 + 6204*b215*b293 + 
    5676*b215*b294 + 4092*b215*b295 + 5544*b215*b296 + 2244*b215*b297 + 1782*
    b215*b298 + 6006*b215*b299 + 5940*b215*b300 + 2376*b215*b301 + 1914*b215*
    b302 + 2772*b215*b304 + 1518*b215*b305 + 4092*b215*b306 + 4092*b215*b307 + 
    1848*b215*b308 + 5016*b215*b309 + 4356*b215*b310 + 10336*b215*b311 + 5440*
    b215*b312 + 10336*b215*b313 + 7344*b215*b314 + 12784*b215*b315 + 11696*b215
    *b316 + 8432*b215*b317 + 11424*b215*b318 + 4624*b215*b319 + 3672*b215*b320
     + 12376*b215*b321 + 12240*b215*b322 + 4896*b215*b323 + 3944*b215*b324 + 
    5712*b215*b326 + 3128*b215*b327 + 8432*b215*b328 + 8432*b215*b329 + 3808*
    b215*b330 + 10336*b215*b331 + 8976*b215*b332 + 7904*b215*b333 + 4160*b215*
    b334 + 7904*b215*b335 + 5616*b215*b336 + 9776*b215*b337 + 8944*b215*b338 + 
    6448*b215*b339 + 8736*b215*b340 + 3536*b215*b341 + 2808*b215*b342 + 9464*
    b215*b343 + 9360*b215*b344 + 3744*b215*b345 + 3016*b215*b346 + 4368*b215*
    b348 + 2392*b215*b349 + 6448*b215*b350 + 6448*b215*b351 + 2912*b215*b352 + 
    7904*b215*b353 + 6864*b215*b354 + 4256*b215*b355 + 2240*b215*b356 + 4256*
    b215*b357 + 3024*b215*b358 + 5264*b215*b359 + 4816*b215*b360 + 3472*b215*
    b361 + 4704*b215*b362 + 1904*b215*b363 + 1512*b215*b364 + 5096*b215*b365 + 
    5040*b215*b366 + 2016*b215*b367 + 1624*b215*b368 + 2352*b215*b370 + 1288*
    b215*b371 + 3472*b215*b372 + 3472*b215*b373 + 1568*b215*b374 + 4256*b215*
    b375 + 3696*b215*b376 + 11400*b215*b377 + 6000*b215*b378 + 11400*b215*b379
     + 8100*b215*b380 + 14100*b215*b381 + 12900*b215*b382 + 9300*b215*b383 + 
    12600*b215*b384 + 5100*b215*b385 + 4050*b215*b386 + 13650*b215*b387 + 13500
    *b215*b388 + 5400*b215*b389 + 4350*b215*b390 + 6300*b215*b392 + 3450*b215*
    b393 + 9300*b215*b394 + 9300*b215*b395 + 4200*b215*b396 + 11400*b215*b397
     + 9900*b215*b398 + 15048*b215*b399 + 7920*b215*b400 + 15048*b215*b401 + 
    10692*b215*b402 + 18612*b215*b403 + 17028*b215*b404 + 12276*b215*b405 + 
    16632*b215*b406 + 6732*b215*b407 + 5346*b215*b408 + 18018*b215*b409 + 17820
    *b215*b410 + 7128*b215*b411 + 5742*b215*b412 + 8316*b215*b414 + 4554*b215*
    b415 + 12276*b215*b416 + 12276*b215*b417 + 5544*b215*b418 + 15048*b215*b419
     + 13068*b215*b420 + 912*b215*b421 + 480*b215*b422 + 912*b215*b423 + 648*
    b215*b424 + 1128*b215*b425 + 1032*b215*b426 + 744*b215*b427 + 1008*b215*
    b428 + 408*b215*b429 + 324*b215*b430 + 1092*b215*b431 + 1080*b215*b432 + 
    432*b215*b433 + 348*b215*b434 + 504*b215*b436 + 276*b215*b437 + 744*b215*
    b438 + 744*b215*b439 + 336*b215*b440 + 912*b215*b441 + 792*b215*b442 + 
    12920*b215*b443 + 6800*b215*b444 + 12920*b215*b445 + 9180*b215*b446 + 15980
    *b215*b447 + 14620*b215*b448 + 10540*b215*b449 + 14280*b215*b450 + 5780*
    b215*b451 + 4590*b215*b452 + 15470*b215*b453 + 15300*b215*b454 + 6120*b215*
    b455 + 4930*b215*b456 + 7140*b215*b458 + 3910*b215*b459 + 10540*b215*b460
     + 10540*b215*b461 + 4760*b215*b462 + 12920*b215*b463 + 11220*b215*b464 + 
    9880*b215*b465 + 5200*b215*b466 + 9880*b215*b467 + 7020*b215*b468 + 12220*
    b215*b469 + 11180*b215*b470 + 8060*b215*b471 + 10920*b215*b472 + 4420*b215*
    b473 + 3510*b215*b474 + 11830*b215*b475 + 11700*b215*b476 + 4680*b215*b477
     + 3770*b215*b478 + 5460*b215*b480 + 2990*b215*b481 + 8060*b215*b482 + 8060
    *b215*b483 + 3640*b215*b484 + 9880*b215*b485 + 8580*b215*b486 + 7144*b215*
    b487 + 3760*b215*b488 + 7144*b215*b489 + 5076*b215*b490 + 8836*b215*b491 + 
    8084*b215*b492 + 5828*b215*b493 + 7896*b215*b494 + 3196*b215*b495 + 2538*
    b215*b496 + 8554*b215*b497 + 8460*b215*b498 + 3384*b215*b499 + 2726*b215*
    b500 + 3948*b215*b502 + 2162*b215*b503 + 5828*b215*b504 + 5828*b215*b505 + 
    2632*b215*b506 + 7144*b215*b507 + 6204*b215*b508 + 13680*b215*b509 + 7200*
    b215*b510 + 13680*b215*b511 + 9720*b215*b512 + 16920*b215*b513 + 15480*b215
    *b514 + 11160*b215*b515 + 15120*b215*b516 + 6120*b215*b517 + 4860*b215*b518
     + 16380*b215*b519 + 16200*b215*b520 + 6480*b215*b521 + 5220*b215*b522 + 
    7560*b215*b524 + 4140*b215*b525 + 11160*b215*b526 + 11160*b215*b527 + 5040*
    b215*b528 + 13680*b215*b529 + 11880*b215*b530 + 1738*b215*b531 + 1452*b215*
    b532 + 1804*b215*b533 + 14694*b215*b534 + 12276*b215*b535 + 15252*b215*b536
     + 3476*b215*b537 + 2904*b215*b538 + 3608*b215*b539 + 11376*b215*b540 + 
    9504*b215*b541 + 11808*b215*b542 + 6636*b215*b543 + 5544*b215*b544 + 6888*
    b215*b545 + 11218*b215*b546 + 9372*b215*b547 + 11644*b215*b548 + 14852*b215
    *b549 + 12408*b215*b550 + 15416*b215*b551 + 3160*b215*b552 + 2640*b215*b553
     + 3280*b215*b554 + 7268*b215*b558 + 6072*b215*b559 + 7544*b215*b560 + 8216
    *b215*b561 + 6864*b215*b562 + 8528*b215*b563 + 3476*b215*b564 + 2904*b215*
    b565 + 3608*b215*b566 + 5214*b215*b567 + 4356*b215*b568 + 5412*b215*b569 + 
    10744*b215*b570 + 8976*b215*b571 + 11152*b215*b572 + 8216*b215*b573 + 6864*
    b215*b574 + 8528*b215*b575 + 4424*b215*b576 + 3696*b215*b577 + 4592*b215*
    b578 + 11850*b215*b579 + 9900*b215*b580 + 12300*b215*b581 + 15642*b215*b582
     + 13068*b215*b583 + 16236*b215*b584 + 948*b215*b585 + 792*b215*b586 + 984*
    b215*b587 + 13430*b215*b588 + 11220*b215*b589 + 13940*b215*b590 + 10270*
    b215*b591 + 8580*b215*b592 + 10660*b215*b593 + 7426*b215*b594 + 6204*b215*
    b595 + 7708*b215*b596 + 14220*b215*b597 + 11880*b215*b598 + 14760*b215*b599
     + 7440*b215*b600 + 14136*b215*b601 + 10044*b215*b602 + 17484*b215*b603 + 
    15996*b215*b604 + 11532*b215*b605 + 15624*b215*b606 + 6324*b215*b607 + 5022
    *b215*b608 + 16926*b215*b609 + 16740*b215*b610 + 6696*b215*b611 + 5394*b215
    *b612 + 12276*b215*b614 + 7812*b215*b615 + 4278*b215*b616 + 11532*b215*b617
     + 11532*b215*b618 + 5208*b215*b619 + 14136*b215*b620 + 12276*b215*b621 + 
    15252*b215*b622 + 14136*b215*b623 + 5846*b215*b624 + 4884*b215*b625 + 6068*
    b215*b626 + 1656*b216*b223 + 5152*b216*b224 + 4048*b216*b225 + 1288*b216*
    b226 + 184*b216*b227 + 7084*b216*b228 + 2300*b216*b229 + 3496*b216*b230 + 
    3680*b216*b231 + 552*b216*b232 + 8004*b216*b233 + 4324*b216*b234 + 644*b216
    *b235 + 7544*b216*b236 + 3864*b216*b237 + 7912*b216*b239 + 5520*b216*b240
     + 5704*b216*b241 + 5704*b216*b242 + 7636*b216*b243 + 8372*b216*b244 + 1872
    *b216*b245 + 5824*b216*b246 + 4576*b216*b247 + 1456*b216*b248 + 208*b216*
    b249 + 8008*b216*b250 + 2600*b216*b251 + 3952*b216*b252 + 4160*b216*b253 + 
    624*b216*b254 + 9048*b216*b255 + 4888*b216*b256 + 728*b216*b257 + 8528*b216
    *b258 + 4368*b216*b259 + 8944*b216*b261 + 6240*b216*b262 + 6448*b216*b263
     + 6448*b216*b264 + 8632*b216*b265 + 9464*b216*b266 + 792*b216*b267 + 2464*
    b216*b268 + 1936*b216*b269 + 616*b216*b270 + 88*b216*b271 + 3388*b216*b272
     + 1100*b216*b273 + 1672*b216*b274 + 1760*b216*b275 + 264*b216*b276 + 3828*
    b216*b277 + 2068*b216*b278 + 308*b216*b279 + 3608*b216*b280 + 1848*b216*
    b281 + 3784*b216*b283 + 2640*b216*b284 + 2728*b216*b285 + 2728*b216*b286 + 
    3652*b216*b287 + 4004*b216*b288 + 1188*b216*b289 + 3696*b216*b290 + 2904*
    b216*b291 + 924*b216*b292 + 132*b216*b293 + 5082*b216*b294 + 1650*b216*b295
     + 2508*b216*b296 + 2640*b216*b297 + 396*b216*b298 + 5742*b216*b299 + 3102*
    b216*b300 + 462*b216*b301 + 5412*b216*b302 + 2772*b216*b303 + 5676*b216*
    b305 + 3960*b216*b306 + 4092*b216*b307 + 4092*b216*b308 + 5478*b216*b309 + 
    6006*b216*b310 + 2448*b216*b311 + 7616*b216*b312 + 5984*b216*b313 + 1904*
    b216*b314 + 272*b216*b315 + 10472*b216*b316 + 3400*b216*b317 + 5168*b216*
    b318 + 5440*b216*b319 + 816*b216*b320 + 11832*b216*b321 + 6392*b216*b322 + 
    952*b216*b323 + 11152*b216*b324 + 5712*b216*b325 + 11696*b216*b327 + 8160*
    b216*b328 + 8432*b216*b329 + 8432*b216*b330 + 11288*b216*b331 + 12376*b216*
    b332 + 1872*b216*b333 + 5824*b216*b334 + 4576*b216*b335 + 1456*b216*b336 + 
    208*b216*b337 + 8008*b216*b338 + 2600*b216*b339 + 3952*b216*b340 + 4160*
    b216*b341 + 624*b216*b342 + 9048*b216*b343 + 4888*b216*b344 + 728*b216*b345
     + 8528*b216*b346 + 4368*b216*b347 + 8944*b216*b349 + 6240*b216*b350 + 6448
    *b216*b351 + 6448*b216*b352 + 8632*b216*b353 + 9464*b216*b354 + 1008*b216*
    b355 + 3136*b216*b356 + 2464*b216*b357 + 784*b216*b358 + 112*b216*b359 + 
    4312*b216*b360 + 1400*b216*b361 + 2128*b216*b362 + 2240*b216*b363 + 336*
    b216*b364 + 4872*b216*b365 + 2632*b216*b366 + 392*b216*b367 + 4592*b216*
    b368 + 2352*b216*b369 + 4816*b216*b371 + 3360*b216*b372 + 3472*b216*b373 + 
    3472*b216*b374 + 4648*b216*b375 + 5096*b216*b376 + 2700*b216*b377 + 8400*
    b216*b378 + 6600*b216*b379 + 2100*b216*b380 + 300*b216*b381 + 11550*b216*
    b382 + 3750*b216*b383 + 5700*b216*b384 + 6000*b216*b385 + 900*b216*b386 + 
    13050*b216*b387 + 7050*b216*b388 + 1050*b216*b389 + 12300*b216*b390 + 6300*
    b216*b391 + 12900*b216*b393 + 9000*b216*b394 + 9300*b216*b395 + 9300*b216*
    b396 + 12450*b216*b397 + 13650*b216*b398 + 3564*b216*b399 + 11088*b216*b400
     + 8712*b216*b401 + 2772*b216*b402 + 396*b216*b403 + 15246*b216*b404 + 4950
    *b216*b405 + 7524*b216*b406 + 7920*b216*b407 + 1188*b216*b408 + 17226*b216*
    b409 + 9306*b216*b410 + 1386*b216*b411 + 16236*b216*b412 + 8316*b216*b413
     + 17028*b216*b415 + 11880*b216*b416 + 12276*b216*b417 + 12276*b216*b418 + 
    16434*b216*b419 + 18018*b216*b420 + 216*b216*b421 + 672*b216*b422 + 528*
    b216*b423 + 168*b216*b424 + 24*b216*b425 + 924*b216*b426 + 300*b216*b427 + 
    456*b216*b428 + 480*b216*b429 + 72*b216*b430 + 1044*b216*b431 + 564*b216*
    b432 + 84*b216*b433 + 984*b216*b434 + 504*b216*b435 + 1032*b216*b437 + 720*
    b216*b438 + 744*b216*b439 + 744*b216*b440 + 996*b216*b441 + 1092*b216*b442
     + 3060*b216*b443 + 9520*b216*b444 + 7480*b216*b445 + 2380*b216*b446 + 340*
    b216*b447 + 13090*b216*b448 + 4250*b216*b449 + 6460*b216*b450 + 6800*b216*
    b451 + 1020*b216*b452 + 14790*b216*b453 + 7990*b216*b454 + 1190*b216*b455
     + 13940*b216*b456 + 7140*b216*b457 + 14620*b216*b459 + 10200*b216*b460 + 
    10540*b216*b461 + 10540*b216*b462 + 14110*b216*b463 + 15470*b216*b464 + 
    2340*b216*b465 + 7280*b216*b466 + 5720*b216*b467 + 1820*b216*b468 + 260*
    b216*b469 + 10010*b216*b470 + 3250*b216*b471 + 4940*b216*b472 + 5200*b216*
    b473 + 780*b216*b474 + 11310*b216*b475 + 6110*b216*b476 + 910*b216*b477 + 
    10660*b216*b478 + 5460*b216*b479 + 11180*b216*b481 + 7800*b216*b482 + 8060*
    b216*b483 + 8060*b216*b484 + 10790*b216*b485 + 11830*b216*b486 + 1692*b216*
    b487 + 5264*b216*b488 + 4136*b216*b489 + 1316*b216*b490 + 188*b216*b491 + 
    7238*b216*b492 + 2350*b216*b493 + 3572*b216*b494 + 3760*b216*b495 + 564*
    b216*b496 + 8178*b216*b497 + 4418*b216*b498 + 658*b216*b499 + 7708*b216*
    b500 + 3948*b216*b501 + 8084*b216*b503 + 5640*b216*b504 + 5828*b216*b505 + 
    5828*b216*b506 + 7802*b216*b507 + 8554*b216*b508 + 3240*b216*b509 + 10080*
    b216*b510 + 7920*b216*b511 + 2520*b216*b512 + 360*b216*b513 + 13860*b216*
    b514 + 4500*b216*b515 + 6840*b216*b516 + 7200*b216*b517 + 1080*b216*b518 + 
    15660*b216*b519 + 8460*b216*b520 + 1260*b216*b521 + 14760*b216*b522 + 7560*
    b216*b523 + 15480*b216*b525 + 10800*b216*b526 + 11160*b216*b527 + 11160*
    b216*b528 + 14940*b216*b529 + 16380*b216*b530 + 1958*b216*b531 + 2156*b216*
    b532 + 1254*b216*b533 + 16554*b216*b534 + 18228*b216*b535 + 10602*b216*b536
     + 3916*b216*b537 + 4312*b216*b538 + 2508*b216*b539 + 12816*b216*b540 + 
    14112*b216*b541 + 8208*b216*b542 + 7476*b216*b543 + 8232*b216*b544 + 4788*
    b216*b545 + 12638*b216*b546 + 13916*b216*b547 + 8094*b216*b548 + 16732*b216
    *b549 + 18424*b216*b550 + 10716*b216*b551 + 3560*b216*b552 + 3920*b216*b553
     + 2280*b216*b554 + 8188*b216*b558 + 9016*b216*b559 + 5244*b216*b560 + 9256
    *b216*b561 + 10192*b216*b562 + 5928*b216*b563 + 3916*b216*b564 + 4312*b216*
    b565 + 2508*b216*b566 + 5874*b216*b567 + 6468*b216*b568 + 3762*b216*b569 + 
    12104*b216*b570 + 13328*b216*b571 + 7752*b216*b572 + 9256*b216*b573 + 10192
    *b216*b574 + 5928*b216*b575 + 4984*b216*b576 + 5488*b216*b577 + 3192*b216*
    b578 + 13350*b216*b579 + 14700*b216*b580 + 8550*b216*b581 + 17622*b216*b582
     + 19404*b216*b583 + 11286*b216*b584 + 1068*b216*b585 + 1176*b216*b586 + 
    684*b216*b587 + 15130*b216*b588 + 16660*b216*b589 + 9690*b216*b590 + 11570*
    b216*b591 + 12740*b216*b592 + 7410*b216*b593 + 8366*b216*b594 + 9212*b216*
    b595 + 5358*b216*b596 + 16020*b216*b597 + 17640*b216*b598 + 10260*b216*b599
     + 10416*b216*b600 + 8184*b216*b601 + 2604*b216*b602 + 372*b216*b603 + 
    14322*b216*b604 + 4650*b216*b605 + 7068*b216*b606 + 7440*b216*b607 + 1116*
    b216*b608 + 16182*b216*b609 + 8742*b216*b610 + 1302*b216*b611 + 15252*b216*
    b612 + 7812*b216*b613 + 18228*b216*b614 + 15996*b216*b616 + 11160*b216*b617
     + 11532*b216*b618 + 11532*b216*b619 + 15438*b216*b620 + 16926*b216*b621 + 
    10602*b216*b622 + 3348*b216*b623 + 6586*b216*b624 + 7252*b216*b625 + 4218*
    b216*b626 + 5244*b217*b223 + 92*b217*b224 + 7820*b217*b225 + 6532*b217*b226
     + 920*b217*b227 + 1380*b217*b228 + 6900*b217*b229 + 3772*b217*b230 + 6348*
    b217*b231 + 6164*b217*b232 + 6624*b217*b233 + 2300*b217*b234 + 7728*b217*
    b235 + 2668*b217*b236 + 2116*b217*b237 + 7912*b217*b238 + 5704*b217*b240 + 
    3312*b217*b241 + 184*b217*b242 + 184*b217*b243 + 3956*b217*b244 + 5928*b217
    *b245 + 104*b217*b246 + 8840*b217*b247 + 7384*b217*b248 + 1040*b217*b249 + 
    1560*b217*b250 + 7800*b217*b251 + 4264*b217*b252 + 7176*b217*b253 + 6968*
    b217*b254 + 7488*b217*b255 + 2600*b217*b256 + 8736*b217*b257 + 3016*b217*
    b258 + 2392*b217*b259 + 8944*b217*b260 + 6448*b217*b262 + 3744*b217*b263 + 
    208*b217*b264 + 208*b217*b265 + 4472*b217*b266 + 2508*b217*b267 + 44*b217*
    b268 + 3740*b217*b269 + 3124*b217*b270 + 440*b217*b271 + 660*b217*b272 + 
    3300*b217*b273 + 1804*b217*b274 + 3036*b217*b275 + 2948*b217*b276 + 3168*
    b217*b277 + 1100*b217*b278 + 3696*b217*b279 + 1276*b217*b280 + 1012*b217*
    b281 + 3784*b217*b282 + 2728*b217*b284 + 1584*b217*b285 + 88*b217*b286 + 88
    *b217*b287 + 1892*b217*b288 + 3762*b217*b289 + 66*b217*b290 + 5610*b217*
    b291 + 4686*b217*b292 + 660*b217*b293 + 990*b217*b294 + 4950*b217*b295 + 
    2706*b217*b296 + 4554*b217*b297 + 4422*b217*b298 + 4752*b217*b299 + 1650*
    b217*b300 + 5544*b217*b301 + 1914*b217*b302 + 1518*b217*b303 + 5676*b217*
    b304 + 4092*b217*b306 + 2376*b217*b307 + 132*b217*b308 + 132*b217*b309 + 
    2838*b217*b310 + 7752*b217*b311 + 136*b217*b312 + 11560*b217*b313 + 9656*
    b217*b314 + 1360*b217*b315 + 2040*b217*b316 + 10200*b217*b317 + 5576*b217*
    b318 + 9384*b217*b319 + 9112*b217*b320 + 9792*b217*b321 + 3400*b217*b322 + 
    11424*b217*b323 + 3944*b217*b324 + 3128*b217*b325 + 11696*b217*b326 + 8432*
    b217*b328 + 4896*b217*b329 + 272*b217*b330 + 272*b217*b331 + 5848*b217*b332
     + 5928*b217*b333 + 104*b217*b334 + 8840*b217*b335 + 7384*b217*b336 + 1040*
    b217*b337 + 1560*b217*b338 + 7800*b217*b339 + 4264*b217*b340 + 7176*b217*
    b341 + 6968*b217*b342 + 7488*b217*b343 + 2600*b217*b344 + 8736*b217*b345 + 
    3016*b217*b346 + 2392*b217*b347 + 8944*b217*b348 + 6448*b217*b350 + 3744*
    b217*b351 + 208*b217*b352 + 208*b217*b353 + 4472*b217*b354 + 3192*b217*b355
     + 56*b217*b356 + 4760*b217*b357 + 3976*b217*b358 + 560*b217*b359 + 840*
    b217*b360 + 4200*b217*b361 + 2296*b217*b362 + 3864*b217*b363 + 3752*b217*
    b364 + 4032*b217*b365 + 1400*b217*b366 + 4704*b217*b367 + 1624*b217*b368 + 
    1288*b217*b369 + 4816*b217*b370 + 3472*b217*b372 + 2016*b217*b373 + 112*
    b217*b374 + 112*b217*b375 + 2408*b217*b376 + 8550*b217*b377 + 150*b217*b378
     + 12750*b217*b379 + 10650*b217*b380 + 1500*b217*b381 + 2250*b217*b382 + 
    11250*b217*b383 + 6150*b217*b384 + 10350*b217*b385 + 10050*b217*b386 + 
    10800*b217*b387 + 3750*b217*b388 + 12600*b217*b389 + 4350*b217*b390 + 3450*
    b217*b391 + 12900*b217*b392 + 9300*b217*b394 + 5400*b217*b395 + 300*b217*
    b396 + 300*b217*b397 + 6450*b217*b398 + 11286*b217*b399 + 198*b217*b400 + 
    16830*b217*b401 + 14058*b217*b402 + 1980*b217*b403 + 2970*b217*b404 + 14850
    *b217*b405 + 8118*b217*b406 + 13662*b217*b407 + 13266*b217*b408 + 14256*
    b217*b409 + 4950*b217*b410 + 16632*b217*b411 + 5742*b217*b412 + 4554*b217*
    b413 + 17028*b217*b414 + 12276*b217*b416 + 7128*b217*b417 + 396*b217*b418
     + 396*b217*b419 + 8514*b217*b420 + 684*b217*b421 + 12*b217*b422 + 1020*
    b217*b423 + 852*b217*b424 + 120*b217*b425 + 180*b217*b426 + 900*b217*b427
     + 492*b217*b428 + 828*b217*b429 + 804*b217*b430 + 864*b217*b431 + 300*b217
    *b432 + 1008*b217*b433 + 348*b217*b434 + 276*b217*b435 + 1032*b217*b436 + 
    744*b217*b438 + 432*b217*b439 + 24*b217*b440 + 24*b217*b441 + 516*b217*b442
     + 9690*b217*b443 + 170*b217*b444 + 14450*b217*b445 + 12070*b217*b446 + 
    1700*b217*b447 + 2550*b217*b448 + 12750*b217*b449 + 6970*b217*b450 + 11730*
    b217*b451 + 11390*b217*b452 + 12240*b217*b453 + 4250*b217*b454 + 14280*b217
    *b455 + 4930*b217*b456 + 3910*b217*b457 + 14620*b217*b458 + 10540*b217*b460
     + 6120*b217*b461 + 340*b217*b462 + 340*b217*b463 + 7310*b217*b464 + 7410*
    b217*b465 + 130*b217*b466 + 11050*b217*b467 + 9230*b217*b468 + 1300*b217*
    b469 + 1950*b217*b470 + 9750*b217*b471 + 5330*b217*b472 + 8970*b217*b473 + 
    8710*b217*b474 + 9360*b217*b475 + 3250*b217*b476 + 10920*b217*b477 + 3770*
    b217*b478 + 2990*b217*b479 + 11180*b217*b480 + 8060*b217*b482 + 4680*b217*
    b483 + 260*b217*b484 + 260*b217*b485 + 5590*b217*b486 + 5358*b217*b487 + 94
    *b217*b488 + 7990*b217*b489 + 6674*b217*b490 + 940*b217*b491 + 1410*b217*
    b492 + 7050*b217*b493 + 3854*b217*b494 + 6486*b217*b495 + 6298*b217*b496 + 
    6768*b217*b497 + 2350*b217*b498 + 7896*b217*b499 + 2726*b217*b500 + 2162*
    b217*b501 + 8084*b217*b502 + 5828*b217*b504 + 3384*b217*b505 + 188*b217*
    b506 + 188*b217*b507 + 4042*b217*b508 + 10260*b217*b509 + 180*b217*b510 + 
    15300*b217*b511 + 12780*b217*b512 + 1800*b217*b513 + 2700*b217*b514 + 13500
    *b217*b515 + 7380*b217*b516 + 12420*b217*b517 + 12060*b217*b518 + 12960*
    b217*b519 + 4500*b217*b520 + 15120*b217*b521 + 5220*b217*b522 + 4140*b217*
    b523 + 15480*b217*b524 + 11160*b217*b526 + 6480*b217*b527 + 360*b217*b528
     + 360*b217*b529 + 7740*b217*b530 + 770*b217*b531 + 770*b217*b532 + 1430*
    b217*b533 + 6510*b217*b534 + 6510*b217*b535 + 12090*b217*b536 + 1540*b217*
    b537 + 1540*b217*b538 + 2860*b217*b539 + 5040*b217*b540 + 5040*b217*b541 + 
    9360*b217*b542 + 2940*b217*b543 + 2940*b217*b544 + 5460*b217*b545 + 4970*
    b217*b546 + 4970*b217*b547 + 9230*b217*b548 + 6580*b217*b549 + 6580*b217*
    b550 + 12220*b217*b551 + 1400*b217*b552 + 1400*b217*b553 + 2600*b217*b554
     + 3220*b217*b558 + 3220*b217*b559 + 5980*b217*b560 + 3640*b217*b561 + 3640
    *b217*b562 + 6760*b217*b563 + 1540*b217*b564 + 1540*b217*b565 + 2860*b217*
    b566 + 2310*b217*b567 + 2310*b217*b568 + 4290*b217*b569 + 4760*b217*b570 + 
    4760*b217*b571 + 8840*b217*b572 + 3640*b217*b573 + 3640*b217*b574 + 6760*
    b217*b575 + 1960*b217*b576 + 1960*b217*b577 + 3640*b217*b578 + 5250*b217*
    b579 + 5250*b217*b580 + 9750*b217*b581 + 6930*b217*b582 + 6930*b217*b583 + 
    12870*b217*b584 + 420*b217*b585 + 420*b217*b586 + 780*b217*b587 + 5950*b217
    *b588 + 5950*b217*b589 + 11050*b217*b590 + 4550*b217*b591 + 4550*b217*b592
     + 8450*b217*b593 + 3290*b217*b594 + 3290*b217*b595 + 6110*b217*b596 + 6300
    *b217*b597 + 6300*b217*b598 + 11700*b217*b599 + 186*b217*b600 + 15810*b217*
    b601 + 13206*b217*b602 + 1860*b217*b603 + 2790*b217*b604 + 13950*b217*b605
     + 7626*b217*b606 + 12834*b217*b607 + 12462*b217*b608 + 13392*b217*b609 + 
    4650*b217*b610 + 15624*b217*b611 + 5394*b217*b612 + 4278*b217*b613 + 6510*
    b217*b614 + 15996*b217*b615 + 11532*b217*b617 + 6696*b217*b618 + 372*b217*
    b619 + 372*b217*b620 + 7998*b217*b621 + 12090*b217*b622 + 10602*b217*b623
     + 2590*b217*b624 + 2590*b217*b625 + 4810*b217*b626 + 3312*b218*b223 + 4600
    *b218*b224 + 8648*b218*b225 + 7084*b218*b226 + 9108*b218*b227 + 8188*b218*
    b228 + 6992*b218*b229 + 5152*b218*b230 + 1104*b218*b231 + 2392*b218*b232 + 
    4140*b218*b233 + 2760*b218*b234 + 552*b218*b235 + 276*b218*b236 + 5704*b218
    *b237 + 5520*b218*b238 + 5704*b218*b239 + 3404*b218*b241 + 4508*b218*b242
     + 5612*b218*b243 + 460*b218*b244 + 3744*b218*b245 + 5200*b218*b246 + 9776*
    b218*b247 + 8008*b218*b248 + 10296*b218*b249 + 9256*b218*b250 + 7904*b218*
    b251 + 5824*b218*b252 + 1248*b218*b253 + 2704*b218*b254 + 4680*b218*b255 + 
    3120*b218*b256 + 624*b218*b257 + 312*b218*b258 + 6448*b218*b259 + 6240*b218
    *b260 + 6448*b218*b261 + 3848*b218*b263 + 5096*b218*b264 + 6344*b218*b265
     + 520*b218*b266 + 1584*b218*b267 + 2200*b218*b268 + 4136*b218*b269 + 3388*
    b218*b270 + 4356*b218*b271 + 3916*b218*b272 + 3344*b218*b273 + 2464*b218*
    b274 + 528*b218*b275 + 1144*b218*b276 + 1980*b218*b277 + 1320*b218*b278 + 
    264*b218*b279 + 132*b218*b280 + 2728*b218*b281 + 2640*b218*b282 + 2728*b218
    *b283 + 1628*b218*b285 + 2156*b218*b286 + 2684*b218*b287 + 220*b218*b288 + 
    2376*b218*b289 + 3300*b218*b290 + 6204*b218*b291 + 5082*b218*b292 + 6534*
    b218*b293 + 5874*b218*b294 + 5016*b218*b295 + 3696*b218*b296 + 792*b218*
    b297 + 1716*b218*b298 + 2970*b218*b299 + 1980*b218*b300 + 396*b218*b301 + 
    198*b218*b302 + 4092*b218*b303 + 3960*b218*b304 + 4092*b218*b305 + 2442*
    b218*b307 + 3234*b218*b308 + 4026*b218*b309 + 330*b218*b310 + 4896*b218*
    b311 + 6800*b218*b312 + 12784*b218*b313 + 10472*b218*b314 + 13464*b218*b315
     + 12104*b218*b316 + 10336*b218*b317 + 7616*b218*b318 + 1632*b218*b319 + 
    3536*b218*b320 + 6120*b218*b321 + 4080*b218*b322 + 816*b218*b323 + 408*b218
    *b324 + 8432*b218*b325 + 8160*b218*b326 + 8432*b218*b327 + 5032*b218*b329
     + 6664*b218*b330 + 8296*b218*b331 + 680*b218*b332 + 3744*b218*b333 + 5200*
    b218*b334 + 9776*b218*b335 + 8008*b218*b336 + 10296*b218*b337 + 9256*b218*
    b338 + 7904*b218*b339 + 5824*b218*b340 + 1248*b218*b341 + 2704*b218*b342 + 
    4680*b218*b343 + 3120*b218*b344 + 624*b218*b345 + 312*b218*b346 + 6448*b218
    *b347 + 6240*b218*b348 + 6448*b218*b349 + 3848*b218*b351 + 5096*b218*b352
     + 6344*b218*b353 + 520*b218*b354 + 2016*b218*b355 + 2800*b218*b356 + 5264*
    b218*b357 + 4312*b218*b358 + 5544*b218*b359 + 4984*b218*b360 + 4256*b218*
    b361 + 3136*b218*b362 + 672*b218*b363 + 1456*b218*b364 + 2520*b218*b365 + 
    1680*b218*b366 + 336*b218*b367 + 168*b218*b368 + 3472*b218*b369 + 3360*b218
    *b370 + 3472*b218*b371 + 2072*b218*b373 + 2744*b218*b374 + 3416*b218*b375
     + 280*b218*b376 + 5400*b218*b377 + 7500*b218*b378 + 14100*b218*b379 + 
    11550*b218*b380 + 14850*b218*b381 + 13350*b218*b382 + 11400*b218*b383 + 
    8400*b218*b384 + 1800*b218*b385 + 3900*b218*b386 + 6750*b218*b387 + 4500*
    b218*b388 + 900*b218*b389 + 450*b218*b390 + 9300*b218*b391 + 9000*b218*b392
     + 9300*b218*b393 + 5550*b218*b395 + 7350*b218*b396 + 9150*b218*b397 + 750*
    b218*b398 + 7128*b218*b399 + 9900*b218*b400 + 18612*b218*b401 + 15246*b218*
    b402 + 19602*b218*b403 + 17622*b218*b404 + 15048*b218*b405 + 11088*b218*
    b406 + 2376*b218*b407 + 5148*b218*b408 + 8910*b218*b409 + 5940*b218*b410 + 
    1188*b218*b411 + 594*b218*b412 + 12276*b218*b413 + 11880*b218*b414 + 12276*
    b218*b415 + 7326*b218*b417 + 9702*b218*b418 + 12078*b218*b419 + 990*b218*
    b420 + 432*b218*b421 + 600*b218*b422 + 1128*b218*b423 + 924*b218*b424 + 
    1188*b218*b425 + 1068*b218*b426 + 912*b218*b427 + 672*b218*b428 + 144*b218*
    b429 + 312*b218*b430 + 540*b218*b431 + 360*b218*b432 + 72*b218*b433 + 36*
    b218*b434 + 744*b218*b435 + 720*b218*b436 + 744*b218*b437 + 444*b218*b439
     + 588*b218*b440 + 732*b218*b441 + 60*b218*b442 + 6120*b218*b443 + 8500*
    b218*b444 + 15980*b218*b445 + 13090*b218*b446 + 16830*b218*b447 + 15130*
    b218*b448 + 12920*b218*b449 + 9520*b218*b450 + 2040*b218*b451 + 4420*b218*
    b452 + 7650*b218*b453 + 5100*b218*b454 + 1020*b218*b455 + 510*b218*b456 + 
    10540*b218*b457 + 10200*b218*b458 + 10540*b218*b459 + 6290*b218*b461 + 8330
    *b218*b462 + 10370*b218*b463 + 850*b218*b464 + 4680*b218*b465 + 6500*b218*
    b466 + 12220*b218*b467 + 10010*b218*b468 + 12870*b218*b469 + 11570*b218*
    b470 + 9880*b218*b471 + 7280*b218*b472 + 1560*b218*b473 + 3380*b218*b474 + 
    5850*b218*b475 + 3900*b218*b476 + 780*b218*b477 + 390*b218*b478 + 8060*b218
    *b479 + 7800*b218*b480 + 8060*b218*b481 + 4810*b218*b483 + 6370*b218*b484
     + 7930*b218*b485 + 650*b218*b486 + 3384*b218*b487 + 4700*b218*b488 + 8836*
    b218*b489 + 7238*b218*b490 + 9306*b218*b491 + 8366*b218*b492 + 7144*b218*
    b493 + 5264*b218*b494 + 1128*b218*b495 + 2444*b218*b496 + 4230*b218*b497 + 
    2820*b218*b498 + 564*b218*b499 + 282*b218*b500 + 5828*b218*b501 + 5640*b218
    *b502 + 5828*b218*b503 + 3478*b218*b505 + 4606*b218*b506 + 5734*b218*b507
     + 470*b218*b508 + 6480*b218*b509 + 9000*b218*b510 + 16920*b218*b511 + 
    13860*b218*b512 + 17820*b218*b513 + 16020*b218*b514 + 13680*b218*b515 + 
    10080*b218*b516 + 2160*b218*b517 + 4680*b218*b518 + 8100*b218*b519 + 5400*
    b218*b520 + 1080*b218*b521 + 540*b218*b522 + 11160*b218*b523 + 10800*b218*
    b524 + 11160*b218*b525 + 6660*b218*b527 + 8820*b218*b528 + 10980*b218*b529
     + 900*b218*b530 + 198*b218*b531 + 330*b218*b532 + 748*b218*b533 + 1674*
    b218*b534 + 2790*b218*b535 + 6324*b218*b536 + 396*b218*b537 + 660*b218*b538
     + 1496*b218*b539 + 1296*b218*b540 + 2160*b218*b541 + 4896*b218*b542 + 756*
    b218*b543 + 1260*b218*b544 + 2856*b218*b545 + 1278*b218*b546 + 2130*b218*
    b547 + 4828*b218*b548 + 1692*b218*b549 + 2820*b218*b550 + 6392*b218*b551 + 
    360*b218*b552 + 600*b218*b553 + 1360*b218*b554 + 828*b218*b558 + 1380*b218*
    b559 + 3128*b218*b560 + 936*b218*b561 + 1560*b218*b562 + 3536*b218*b563 + 
    396*b218*b564 + 660*b218*b565 + 1496*b218*b566 + 594*b218*b567 + 990*b218*
    b568 + 2244*b218*b569 + 1224*b218*b570 + 2040*b218*b571 + 4624*b218*b572 + 
    936*b218*b573 + 1560*b218*b574 + 3536*b218*b575 + 504*b218*b576 + 840*b218*
    b577 + 1904*b218*b578 + 1350*b218*b579 + 2250*b218*b580 + 5100*b218*b581 + 
    1782*b218*b582 + 2970*b218*b583 + 6732*b218*b584 + 108*b218*b585 + 180*b218
    *b586 + 408*b218*b587 + 1530*b218*b588 + 2550*b218*b589 + 5780*b218*b590 + 
    1170*b218*b591 + 1950*b218*b592 + 4420*b218*b593 + 846*b218*b594 + 1410*
    b218*b595 + 3196*b218*b596 + 1620*b218*b597 + 2700*b218*b598 + 6120*b218*
    b599 + 9300*b218*b600 + 17484*b218*b601 + 14322*b218*b602 + 18414*b218*b603
     + 16554*b218*b604 + 14136*b218*b605 + 10416*b218*b606 + 2232*b218*b607 + 
    4836*b218*b608 + 8370*b218*b609 + 5580*b218*b610 + 1116*b218*b611 + 558*
    b218*b612 + 11532*b218*b613 + 2790*b218*b614 + 11160*b218*b615 + 11532*b218
    *b616 + 6882*b218*b618 + 9114*b218*b619 + 11346*b218*b620 + 930*b218*b621
     + 6324*b218*b622 + 6696*b218*b623 + 666*b218*b624 + 1110*b218*b625 + 2516*
    b218*b626 + 5612*b219*b223 + 368*b219*b224 + 8280*b219*b225 + 3312*b219*
    b226 + 5152*b219*b227 + 4416*b219*b228 + 3680*b219*b229 + 3588*b219*b230 + 
    7820*b219*b231 + 7544*b219*b232 + 8832*b219*b233 + 3956*b219*b234 + 276*
    b219*b236 + 5704*b219*b237 + 5704*b219*b238 + 3312*b219*b239 + 3404*b219*
    b240 + 4876*b219*b242 + 8832*b219*b243 + 7544*b219*b244 + 6344*b219*b245 + 
    416*b219*b246 + 9360*b219*b247 + 3744*b219*b248 + 5824*b219*b249 + 4992*
    b219*b250 + 4160*b219*b251 + 4056*b219*b252 + 8840*b219*b253 + 8528*b219*
    b254 + 9984*b219*b255 + 4472*b219*b256 + 312*b219*b258 + 6448*b219*b259 + 
    6448*b219*b260 + 3744*b219*b261 + 3848*b219*b262 + 5512*b219*b264 + 9984*
    b219*b265 + 8528*b219*b266 + 2684*b219*b267 + 176*b219*b268 + 3960*b219*
    b269 + 1584*b219*b270 + 2464*b219*b271 + 2112*b219*b272 + 1760*b219*b273 + 
    1716*b219*b274 + 3740*b219*b275 + 3608*b219*b276 + 4224*b219*b277 + 1892*
    b219*b278 + 132*b219*b280 + 2728*b219*b281 + 2728*b219*b282 + 1584*b219*
    b283 + 1628*b219*b284 + 2332*b219*b286 + 4224*b219*b287 + 3608*b219*b288 + 
    4026*b219*b289 + 264*b219*b290 + 5940*b219*b291 + 2376*b219*b292 + 3696*
    b219*b293 + 3168*b219*b294 + 2640*b219*b295 + 2574*b219*b296 + 5610*b219*
    b297 + 5412*b219*b298 + 6336*b219*b299 + 2838*b219*b300 + 198*b219*b302 + 
    4092*b219*b303 + 4092*b219*b304 + 2376*b219*b305 + 2442*b219*b306 + 3498*
    b219*b308 + 6336*b219*b309 + 5412*b219*b310 + 8296*b219*b311 + 544*b219*
    b312 + 12240*b219*b313 + 4896*b219*b314 + 7616*b219*b315 + 6528*b219*b316
     + 5440*b219*b317 + 5304*b219*b318 + 11560*b219*b319 + 11152*b219*b320 + 
    13056*b219*b321 + 5848*b219*b322 + 408*b219*b324 + 8432*b219*b325 + 8432*
    b219*b326 + 4896*b219*b327 + 5032*b219*b328 + 7208*b219*b330 + 13056*b219*
    b331 + 11152*b219*b332 + 6344*b219*b333 + 416*b219*b334 + 9360*b219*b335 + 
    3744*b219*b336 + 5824*b219*b337 + 4992*b219*b338 + 4160*b219*b339 + 4056*
    b219*b340 + 8840*b219*b341 + 8528*b219*b342 + 9984*b219*b343 + 4472*b219*
    b344 + 312*b219*b346 + 6448*b219*b347 + 6448*b219*b348 + 3744*b219*b349 + 
    3848*b219*b350 + 5512*b219*b352 + 9984*b219*b353 + 8528*b219*b354 + 3416*
    b219*b355 + 224*b219*b356 + 5040*b219*b357 + 2016*b219*b358 + 3136*b219*
    b359 + 2688*b219*b360 + 2240*b219*b361 + 2184*b219*b362 + 4760*b219*b363 + 
    4592*b219*b364 + 5376*b219*b365 + 2408*b219*b366 + 168*b219*b368 + 3472*
    b219*b369 + 3472*b219*b370 + 2016*b219*b371 + 2072*b219*b372 + 2968*b219*
    b374 + 5376*b219*b375 + 4592*b219*b376 + 9150*b219*b377 + 600*b219*b378 + 
    13500*b219*b379 + 5400*b219*b380 + 8400*b219*b381 + 7200*b219*b382 + 6000*
    b219*b383 + 5850*b219*b384 + 12750*b219*b385 + 12300*b219*b386 + 14400*b219
    *b387 + 6450*b219*b388 + 450*b219*b390 + 9300*b219*b391 + 9300*b219*b392 + 
    5400*b219*b393 + 5550*b219*b394 + 7950*b219*b396 + 14400*b219*b397 + 12300*
    b219*b398 + 12078*b219*b399 + 792*b219*b400 + 17820*b219*b401 + 7128*b219*
    b402 + 11088*b219*b403 + 9504*b219*b404 + 7920*b219*b405 + 7722*b219*b406
     + 16830*b219*b407 + 16236*b219*b408 + 19008*b219*b409 + 8514*b219*b410 + 
    594*b219*b412 + 12276*b219*b413 + 12276*b219*b414 + 7128*b219*b415 + 7326*
    b219*b416 + 10494*b219*b418 + 19008*b219*b419 + 16236*b219*b420 + 732*b219*
    b421 + 48*b219*b422 + 1080*b219*b423 + 432*b219*b424 + 672*b219*b425 + 576*
    b219*b426 + 480*b219*b427 + 468*b219*b428 + 1020*b219*b429 + 984*b219*b430
     + 1152*b219*b431 + 516*b219*b432 + 36*b219*b434 + 744*b219*b435 + 744*b219
    *b436 + 432*b219*b437 + 444*b219*b438 + 636*b219*b440 + 1152*b219*b441 + 
    984*b219*b442 + 10370*b219*b443 + 680*b219*b444 + 15300*b219*b445 + 6120*
    b219*b446 + 9520*b219*b447 + 8160*b219*b448 + 6800*b219*b449 + 6630*b219*
    b450 + 14450*b219*b451 + 13940*b219*b452 + 16320*b219*b453 + 7310*b219*b454
     + 510*b219*b456 + 10540*b219*b457 + 10540*b219*b458 + 6120*b219*b459 + 
    6290*b219*b460 + 9010*b219*b462 + 16320*b219*b463 + 13940*b219*b464 + 7930*
    b219*b465 + 520*b219*b466 + 11700*b219*b467 + 4680*b219*b468 + 7280*b219*
    b469 + 6240*b219*b470 + 5200*b219*b471 + 5070*b219*b472 + 11050*b219*b473
     + 10660*b219*b474 + 12480*b219*b475 + 5590*b219*b476 + 390*b219*b478 + 
    8060*b219*b479 + 8060*b219*b480 + 4680*b219*b481 + 4810*b219*b482 + 6890*
    b219*b484 + 12480*b219*b485 + 10660*b219*b486 + 5734*b219*b487 + 376*b219*
    b488 + 8460*b219*b489 + 3384*b219*b490 + 5264*b219*b491 + 4512*b219*b492 + 
    3760*b219*b493 + 3666*b219*b494 + 7990*b219*b495 + 7708*b219*b496 + 9024*
    b219*b497 + 4042*b219*b498 + 282*b219*b500 + 5828*b219*b501 + 5828*b219*
    b502 + 3384*b219*b503 + 3478*b219*b504 + 4982*b219*b506 + 9024*b219*b507 + 
    7708*b219*b508 + 10980*b219*b509 + 720*b219*b510 + 16200*b219*b511 + 6480*
    b219*b512 + 10080*b219*b513 + 8640*b219*b514 + 7200*b219*b515 + 7020*b219*
    b516 + 15300*b219*b517 + 14760*b219*b518 + 17280*b219*b519 + 7740*b219*b520
     + 540*b219*b522 + 11160*b219*b523 + 11160*b219*b524 + 6480*b219*b525 + 
    6660*b219*b526 + 9540*b219*b528 + 17280*b219*b529 + 14760*b219*b530 + 22*
    b219*b531 + 374*b219*b532 + 1056*b219*b533 + 186*b219*b534 + 3162*b219*b535
     + 8928*b219*b536 + 44*b219*b537 + 748*b219*b538 + 2112*b219*b539 + 144*
    b219*b540 + 2448*b219*b541 + 6912*b219*b542 + 84*b219*b543 + 1428*b219*b544
     + 4032*b219*b545 + 142*b219*b546 + 2414*b219*b547 + 6816*b219*b548 + 188*
    b219*b549 + 3196*b219*b550 + 9024*b219*b551 + 40*b219*b552 + 680*b219*b553
     + 1920*b219*b554 + 92*b219*b558 + 1564*b219*b559 + 4416*b219*b560 + 104*
    b219*b561 + 1768*b219*b562 + 4992*b219*b563 + 44*b219*b564 + 748*b219*b565
     + 2112*b219*b566 + 66*b219*b567 + 1122*b219*b568 + 3168*b219*b569 + 136*
    b219*b570 + 2312*b219*b571 + 6528*b219*b572 + 104*b219*b573 + 1768*b219*
    b574 + 4992*b219*b575 + 56*b219*b576 + 952*b219*b577 + 2688*b219*b578 + 150
    *b219*b579 + 2550*b219*b580 + 7200*b219*b581 + 198*b219*b582 + 3366*b219*
    b583 + 9504*b219*b584 + 12*b219*b585 + 204*b219*b586 + 576*b219*b587 + 170*
    b219*b588 + 2890*b219*b589 + 8160*b219*b590 + 130*b219*b591 + 2210*b219*
    b592 + 6240*b219*b593 + 94*b219*b594 + 1598*b219*b595 + 4512*b219*b596 + 
    180*b219*b597 + 3060*b219*b598 + 8640*b219*b599 + 744*b219*b600 + 16740*
    b219*b601 + 6696*b219*b602 + 10416*b219*b603 + 8928*b219*b604 + 7440*b219*
    b605 + 7254*b219*b606 + 15810*b219*b607 + 15252*b219*b608 + 17856*b219*b609
     + 7998*b219*b610 + 558*b219*b612 + 11532*b219*b613 + 3162*b219*b614 + 
    11532*b219*b615 + 6696*b219*b616 + 6882*b219*b617 + 9858*b219*b619 + 17856*
    b219*b620 + 15252*b219*b621 + 8928*b219*b622 + 11346*b219*b623 + 74*b219*
    b624 + 1258*b219*b625 + 3552*b219*b626 + 3312*b220*b223 + 3312*b220*b224 + 
    4692*b220*b225 + 4876*b220*b226 + 6440*b220*b227 + 1288*b220*b228 + 6072*
    b220*b229 + 4876*b220*b230 + 6624*b220*b231 + 4048*b220*b232 + 644*b220*
    b233 + 8924*b220*b234 + 4692*b220*b236 + 2576*b220*b237 + 5704*b220*b238 + 
    184*b220*b239 + 4508*b220*b240 + 4876*b220*b241 + 2576*b220*b243 + 2852*
    b220*b244 + 3744*b220*b245 + 3744*b220*b246 + 5304*b220*b247 + 5512*b220*
    b248 + 7280*b220*b249 + 1456*b220*b250 + 6864*b220*b251 + 5512*b220*b252 + 
    7488*b220*b253 + 4576*b220*b254 + 728*b220*b255 + 10088*b220*b256 + 5304*
    b220*b258 + 2912*b220*b259 + 6448*b220*b260 + 208*b220*b261 + 5096*b220*
    b262 + 5512*b220*b263 + 2912*b220*b265 + 3224*b220*b266 + 1584*b220*b267 + 
    1584*b220*b268 + 2244*b220*b269 + 2332*b220*b270 + 3080*b220*b271 + 616*
    b220*b272 + 2904*b220*b273 + 2332*b220*b274 + 3168*b220*b275 + 1936*b220*
    b276 + 308*b220*b277 + 4268*b220*b278 + 2244*b220*b280 + 1232*b220*b281 + 
    2728*b220*b282 + 88*b220*b283 + 2156*b220*b284 + 2332*b220*b285 + 1232*b220
    *b287 + 1364*b220*b288 + 2376*b220*b289 + 2376*b220*b290 + 3366*b220*b291
     + 3498*b220*b292 + 4620*b220*b293 + 924*b220*b294 + 4356*b220*b295 + 3498*
    b220*b296 + 4752*b220*b297 + 2904*b220*b298 + 462*b220*b299 + 6402*b220*
    b300 + 3366*b220*b302 + 1848*b220*b303 + 4092*b220*b304 + 132*b220*b305 + 
    3234*b220*b306 + 3498*b220*b307 + 1848*b220*b309 + 2046*b220*b310 + 4896*
    b220*b311 + 4896*b220*b312 + 6936*b220*b313 + 7208*b220*b314 + 9520*b220*
    b315 + 1904*b220*b316 + 8976*b220*b317 + 7208*b220*b318 + 9792*b220*b319 + 
    5984*b220*b320 + 952*b220*b321 + 13192*b220*b322 + 6936*b220*b324 + 3808*
    b220*b325 + 8432*b220*b326 + 272*b220*b327 + 6664*b220*b328 + 7208*b220*
    b329 + 3808*b220*b331 + 4216*b220*b332 + 3744*b220*b333 + 3744*b220*b334 + 
    5304*b220*b335 + 5512*b220*b336 + 7280*b220*b337 + 1456*b220*b338 + 6864*
    b220*b339 + 5512*b220*b340 + 7488*b220*b341 + 4576*b220*b342 + 728*b220*
    b343 + 10088*b220*b344 + 5304*b220*b346 + 2912*b220*b347 + 6448*b220*b348
     + 208*b220*b349 + 5096*b220*b350 + 5512*b220*b351 + 2912*b220*b353 + 3224*
    b220*b354 + 2016*b220*b355 + 2016*b220*b356 + 2856*b220*b357 + 2968*b220*
    b358 + 3920*b220*b359 + 784*b220*b360 + 3696*b220*b361 + 2968*b220*b362 + 
    4032*b220*b363 + 2464*b220*b364 + 392*b220*b365 + 5432*b220*b366 + 2856*
    b220*b368 + 1568*b220*b369 + 3472*b220*b370 + 112*b220*b371 + 2744*b220*
    b372 + 2968*b220*b373 + 1568*b220*b375 + 1736*b220*b376 + 5400*b220*b377 + 
    5400*b220*b378 + 7650*b220*b379 + 7950*b220*b380 + 10500*b220*b381 + 2100*
    b220*b382 + 9900*b220*b383 + 7950*b220*b384 + 10800*b220*b385 + 6600*b220*
    b386 + 1050*b220*b387 + 14550*b220*b388 + 7650*b220*b390 + 4200*b220*b391
     + 9300*b220*b392 + 300*b220*b393 + 7350*b220*b394 + 7950*b220*b395 + 4200*
    b220*b397 + 4650*b220*b398 + 7128*b220*b399 + 7128*b220*b400 + 10098*b220*
    b401 + 10494*b220*b402 + 13860*b220*b403 + 2772*b220*b404 + 13068*b220*b405
     + 10494*b220*b406 + 14256*b220*b407 + 8712*b220*b408 + 1386*b220*b409 + 
    19206*b220*b410 + 10098*b220*b412 + 5544*b220*b413 + 12276*b220*b414 + 396*
    b220*b415 + 9702*b220*b416 + 10494*b220*b417 + 5544*b220*b419 + 6138*b220*
    b420 + 432*b220*b421 + 432*b220*b422 + 612*b220*b423 + 636*b220*b424 + 840*
    b220*b425 + 168*b220*b426 + 792*b220*b427 + 636*b220*b428 + 864*b220*b429
     + 528*b220*b430 + 84*b220*b431 + 1164*b220*b432 + 612*b220*b434 + 336*b220
    *b435 + 744*b220*b436 + 24*b220*b437 + 588*b220*b438 + 636*b220*b439 + 336*
    b220*b441 + 372*b220*b442 + 6120*b220*b443 + 6120*b220*b444 + 8670*b220*
    b445 + 9010*b220*b446 + 11900*b220*b447 + 2380*b220*b448 + 11220*b220*b449
     + 9010*b220*b450 + 12240*b220*b451 + 7480*b220*b452 + 1190*b220*b453 + 
    16490*b220*b454 + 8670*b220*b456 + 4760*b220*b457 + 10540*b220*b458 + 340*
    b220*b459 + 8330*b220*b460 + 9010*b220*b461 + 4760*b220*b463 + 5270*b220*
    b464 + 4680*b220*b465 + 4680*b220*b466 + 6630*b220*b467 + 6890*b220*b468 + 
    9100*b220*b469 + 1820*b220*b470 + 8580*b220*b471 + 6890*b220*b472 + 9360*
    b220*b473 + 5720*b220*b474 + 910*b220*b475 + 12610*b220*b476 + 6630*b220*
    b478 + 3640*b220*b479 + 8060*b220*b480 + 260*b220*b481 + 6370*b220*b482 + 
    6890*b220*b483 + 3640*b220*b485 + 4030*b220*b486 + 3384*b220*b487 + 3384*
    b220*b488 + 4794*b220*b489 + 4982*b220*b490 + 6580*b220*b491 + 1316*b220*
    b492 + 6204*b220*b493 + 4982*b220*b494 + 6768*b220*b495 + 4136*b220*b496 + 
    658*b220*b497 + 9118*b220*b498 + 4794*b220*b500 + 2632*b220*b501 + 5828*
    b220*b502 + 188*b220*b503 + 4606*b220*b504 + 4982*b220*b505 + 2632*b220*
    b507 + 2914*b220*b508 + 6480*b220*b509 + 6480*b220*b510 + 9180*b220*b511 + 
    9540*b220*b512 + 12600*b220*b513 + 2520*b220*b514 + 11880*b220*b515 + 9540*
    b220*b516 + 12960*b220*b517 + 7920*b220*b518 + 1260*b220*b519 + 17460*b220*
    b520 + 9180*b220*b522 + 5040*b220*b523 + 11160*b220*b524 + 360*b220*b525 + 
    8820*b220*b526 + 9540*b220*b527 + 5040*b220*b529 + 5580*b220*b530 + 1870*
    b220*b531 + 1694*b220*b532 + 1650*b220*b533 + 15810*b220*b534 + 14322*b220*
    b535 + 13950*b220*b536 + 3740*b220*b537 + 3388*b220*b538 + 3300*b220*b539
     + 12240*b220*b540 + 11088*b220*b541 + 10800*b220*b542 + 7140*b220*b543 + 
    6468*b220*b544 + 6300*b220*b545 + 12070*b220*b546 + 10934*b220*b547 + 10650
    *b220*b548 + 15980*b220*b549 + 14476*b220*b550 + 14100*b220*b551 + 3400*
    b220*b552 + 3080*b220*b553 + 3000*b220*b554 + 7820*b220*b558 + 7084*b220*
    b559 + 6900*b220*b560 + 8840*b220*b561 + 8008*b220*b562 + 7800*b220*b563 + 
    3740*b220*b564 + 3388*b220*b565 + 3300*b220*b566 + 5610*b220*b567 + 5082*
    b220*b568 + 4950*b220*b569 + 11560*b220*b570 + 10472*b220*b571 + 10200*b220
    *b572 + 8840*b220*b573 + 8008*b220*b574 + 7800*b220*b575 + 4760*b220*b576
     + 4312*b220*b577 + 4200*b220*b578 + 12750*b220*b579 + 11550*b220*b580 + 
    11250*b220*b581 + 16830*b220*b582 + 15246*b220*b583 + 14850*b220*b584 + 
    1020*b220*b585 + 924*b220*b586 + 900*b220*b587 + 14450*b220*b588 + 13090*
    b220*b589 + 12750*b220*b590 + 11050*b220*b591 + 10010*b220*b592 + 9750*b220
    *b593 + 7990*b220*b594 + 7238*b220*b595 + 7050*b220*b596 + 15300*b220*b597
     + 13860*b220*b598 + 13500*b220*b599 + 6696*b220*b600 + 9486*b220*b601 + 
    9858*b220*b602 + 13020*b220*b603 + 2604*b220*b604 + 12276*b220*b605 + 9858*
    b220*b606 + 13392*b220*b607 + 8184*b220*b608 + 1302*b220*b609 + 18042*b220*
    b610 + 9486*b220*b612 + 5208*b220*b613 + 14322*b220*b614 + 11532*b220*b615
     + 372*b220*b616 + 9114*b220*b617 + 9858*b220*b618 + 5208*b220*b620 + 5766*
    b220*b621 + 13950*b220*b622 + 6696*b220*b623 + 6290*b220*b624 + 5698*b220*
    b625 + 5550*b220*b626 + 1932*b221*b223 + 2484*b221*b224 + 276*b221*b225 + 
    3404*b221*b226 + 9108*b221*b227 + 8188*b221*b228 + 5336*b221*b229 + 7084*
    b221*b230 + 644*b221*b231 + 3220*b221*b232 + 8004*b221*b233 + 3036*b221*
    b234 + 4416*b221*b235 + 6164*b221*b236 + 6992*b221*b237 + 7636*b221*b238 + 
    184*b221*b239 + 5612*b221*b240 + 8832*b221*b241 + 2576*b221*b242 + 92*b221*
    b244 + 2184*b221*b245 + 2808*b221*b246 + 312*b221*b247 + 3848*b221*b248 + 
    10296*b221*b249 + 9256*b221*b250 + 6032*b221*b251 + 8008*b221*b252 + 728*
    b221*b253 + 3640*b221*b254 + 9048*b221*b255 + 3432*b221*b256 + 4992*b221*
    b257 + 6968*b221*b258 + 7904*b221*b259 + 8632*b221*b260 + 208*b221*b261 + 
    6344*b221*b262 + 9984*b221*b263 + 2912*b221*b264 + 104*b221*b266 + 924*b221
    *b267 + 1188*b221*b268 + 132*b221*b269 + 1628*b221*b270 + 4356*b221*b271 + 
    3916*b221*b272 + 2552*b221*b273 + 3388*b221*b274 + 308*b221*b275 + 1540*
    b221*b276 + 3828*b221*b277 + 1452*b221*b278 + 2112*b221*b279 + 2948*b221*
    b280 + 3344*b221*b281 + 3652*b221*b282 + 88*b221*b283 + 2684*b221*b284 + 
    4224*b221*b285 + 1232*b221*b286 + 44*b221*b288 + 1386*b221*b289 + 1782*b221
    *b290 + 198*b221*b291 + 2442*b221*b292 + 6534*b221*b293 + 5874*b221*b294 + 
    3828*b221*b295 + 5082*b221*b296 + 462*b221*b297 + 2310*b221*b298 + 5742*
    b221*b299 + 2178*b221*b300 + 3168*b221*b301 + 4422*b221*b302 + 5016*b221*
    b303 + 5478*b221*b304 + 132*b221*b305 + 4026*b221*b306 + 6336*b221*b307 + 
    1848*b221*b308 + 66*b221*b310 + 2856*b221*b311 + 3672*b221*b312 + 408*b221*
    b313 + 5032*b221*b314 + 13464*b221*b315 + 12104*b221*b316 + 7888*b221*b317
     + 10472*b221*b318 + 952*b221*b319 + 4760*b221*b320 + 11832*b221*b321 + 
    4488*b221*b322 + 6528*b221*b323 + 9112*b221*b324 + 10336*b221*b325 + 11288*
    b221*b326 + 272*b221*b327 + 8296*b221*b328 + 13056*b221*b329 + 3808*b221*
    b330 + 136*b221*b332 + 2184*b221*b333 + 2808*b221*b334 + 312*b221*b335 + 
    3848*b221*b336 + 10296*b221*b337 + 9256*b221*b338 + 6032*b221*b339 + 8008*
    b221*b340 + 728*b221*b341 + 3640*b221*b342 + 9048*b221*b343 + 3432*b221*
    b344 + 4992*b221*b345 + 6968*b221*b346 + 7904*b221*b347 + 8632*b221*b348 + 
    208*b221*b349 + 6344*b221*b350 + 9984*b221*b351 + 2912*b221*b352 + 104*b221
    *b354 + 1176*b221*b355 + 1512*b221*b356 + 168*b221*b357 + 2072*b221*b358 + 
    5544*b221*b359 + 4984*b221*b360 + 3248*b221*b361 + 4312*b221*b362 + 392*
    b221*b363 + 1960*b221*b364 + 4872*b221*b365 + 1848*b221*b366 + 2688*b221*
    b367 + 3752*b221*b368 + 4256*b221*b369 + 4648*b221*b370 + 112*b221*b371 + 
    3416*b221*b372 + 5376*b221*b373 + 1568*b221*b374 + 56*b221*b376 + 3150*b221
    *b377 + 4050*b221*b378 + 450*b221*b379 + 5550*b221*b380 + 14850*b221*b381
     + 13350*b221*b382 + 8700*b221*b383 + 11550*b221*b384 + 1050*b221*b385 + 
    5250*b221*b386 + 13050*b221*b387 + 4950*b221*b388 + 7200*b221*b389 + 10050*
    b221*b390 + 11400*b221*b391 + 12450*b221*b392 + 300*b221*b393 + 9150*b221*
    b394 + 14400*b221*b395 + 4200*b221*b396 + 150*b221*b398 + 4158*b221*b399 + 
    5346*b221*b400 + 594*b221*b401 + 7326*b221*b402 + 19602*b221*b403 + 17622*
    b221*b404 + 11484*b221*b405 + 15246*b221*b406 + 1386*b221*b407 + 6930*b221*
    b408 + 17226*b221*b409 + 6534*b221*b410 + 9504*b221*b411 + 13266*b221*b412
     + 15048*b221*b413 + 16434*b221*b414 + 396*b221*b415 + 12078*b221*b416 + 
    19008*b221*b417 + 5544*b221*b418 + 198*b221*b420 + 252*b221*b421 + 324*b221
    *b422 + 36*b221*b423 + 444*b221*b424 + 1188*b221*b425 + 1068*b221*b426 + 
    696*b221*b427 + 924*b221*b428 + 84*b221*b429 + 420*b221*b430 + 1044*b221*
    b431 + 396*b221*b432 + 576*b221*b433 + 804*b221*b434 + 912*b221*b435 + 996*
    b221*b436 + 24*b221*b437 + 732*b221*b438 + 1152*b221*b439 + 336*b221*b440
     + 12*b221*b442 + 3570*b221*b443 + 4590*b221*b444 + 510*b221*b445 + 6290*
    b221*b446 + 16830*b221*b447 + 15130*b221*b448 + 9860*b221*b449 + 13090*b221
    *b450 + 1190*b221*b451 + 5950*b221*b452 + 14790*b221*b453 + 5610*b221*b454
     + 8160*b221*b455 + 11390*b221*b456 + 12920*b221*b457 + 14110*b221*b458 + 
    340*b221*b459 + 10370*b221*b460 + 16320*b221*b461 + 4760*b221*b462 + 170*
    b221*b464 + 2730*b221*b465 + 3510*b221*b466 + 390*b221*b467 + 4810*b221*
    b468 + 12870*b221*b469 + 11570*b221*b470 + 7540*b221*b471 + 10010*b221*b472
     + 910*b221*b473 + 4550*b221*b474 + 11310*b221*b475 + 4290*b221*b476 + 6240
    *b221*b477 + 8710*b221*b478 + 9880*b221*b479 + 10790*b221*b480 + 260*b221*
    b481 + 7930*b221*b482 + 12480*b221*b483 + 3640*b221*b484 + 130*b221*b486 + 
    1974*b221*b487 + 2538*b221*b488 + 282*b221*b489 + 3478*b221*b490 + 9306*
    b221*b491 + 8366*b221*b492 + 5452*b221*b493 + 7238*b221*b494 + 658*b221*
    b495 + 3290*b221*b496 + 8178*b221*b497 + 3102*b221*b498 + 4512*b221*b499 + 
    6298*b221*b500 + 7144*b221*b501 + 7802*b221*b502 + 188*b221*b503 + 5734*
    b221*b504 + 9024*b221*b505 + 2632*b221*b506 + 94*b221*b508 + 3780*b221*b509
     + 4860*b221*b510 + 540*b221*b511 + 6660*b221*b512 + 17820*b221*b513 + 
    16020*b221*b514 + 10440*b221*b515 + 13860*b221*b516 + 1260*b221*b517 + 6300
    *b221*b518 + 15660*b221*b519 + 5940*b221*b520 + 8640*b221*b521 + 12060*b221
    *b522 + 13680*b221*b523 + 14940*b221*b524 + 360*b221*b525 + 10980*b221*b526
     + 17280*b221*b527 + 5040*b221*b528 + 180*b221*b530 + 1848*b221*b531 + 968*
    b221*b532 + 2090*b221*b533 + 15624*b221*b534 + 8184*b221*b535 + 17670*b221*
    b536 + 3696*b221*b537 + 1936*b221*b538 + 4180*b221*b539 + 12096*b221*b540
     + 6336*b221*b541 + 13680*b221*b542 + 7056*b221*b543 + 3696*b221*b544 + 
    7980*b221*b545 + 11928*b221*b546 + 6248*b221*b547 + 13490*b221*b548 + 15792
    *b221*b549 + 8272*b221*b550 + 17860*b221*b551 + 3360*b221*b552 + 1760*b221*
    b553 + 3800*b221*b554 + 7728*b221*b558 + 4048*b221*b559 + 8740*b221*b560 + 
    8736*b221*b561 + 4576*b221*b562 + 9880*b221*b563 + 3696*b221*b564 + 1936*
    b221*b565 + 4180*b221*b566 + 5544*b221*b567 + 2904*b221*b568 + 6270*b221*
    b569 + 11424*b221*b570 + 5984*b221*b571 + 12920*b221*b572 + 8736*b221*b573
     + 4576*b221*b574 + 9880*b221*b575 + 4704*b221*b576 + 2464*b221*b577 + 5320
    *b221*b578 + 12600*b221*b579 + 6600*b221*b580 + 14250*b221*b581 + 16632*
    b221*b582 + 8712*b221*b583 + 18810*b221*b584 + 1008*b221*b585 + 528*b221*
    b586 + 1140*b221*b587 + 14280*b221*b588 + 7480*b221*b589 + 16150*b221*b590
     + 10920*b221*b591 + 5720*b221*b592 + 12350*b221*b593 + 7896*b221*b594 + 
    4136*b221*b595 + 8930*b221*b596 + 15120*b221*b597 + 7920*b221*b598 + 17100*
    b221*b599 + 5022*b221*b600 + 558*b221*b601 + 6882*b221*b602 + 18414*b221*
    b603 + 16554*b221*b604 + 10788*b221*b605 + 14322*b221*b606 + 1302*b221*b607
     + 6510*b221*b608 + 16182*b221*b609 + 6138*b221*b610 + 8928*b221*b611 + 
    12462*b221*b612 + 14136*b221*b613 + 8184*b221*b614 + 15438*b221*b615 + 372*
    b221*b616 + 11346*b221*b617 + 17856*b221*b618 + 5208*b221*b619 + 186*b221*
    b621 + 17670*b221*b622 + 3906*b221*b623 + 6216*b221*b624 + 3256*b221*b625
     + 7030*b221*b626 + 6532*b222*b223 + 7820*b222*b224 + 4416*b222*b225 + 2392
    *b222*b226 + 5520*b222*b227 + 4048*b222*b228 + 2760*b222*b229 + 4600*b222*
    b230 + 4508*b222*b231 + 276*b222*b232 + 6256*b222*b233 + 3220*b222*b234 + 
    5704*b222*b235 + 3588*b222*b236 + 6072*b222*b237 + 8372*b222*b238 + 3956*
    b222*b239 + 460*b222*b240 + 7544*b222*b241 + 2852*b222*b242 + 92*b222*b243
     + 7384*b222*b245 + 8840*b222*b246 + 4992*b222*b247 + 2704*b222*b248 + 6240
    *b222*b249 + 4576*b222*b250 + 3120*b222*b251 + 5200*b222*b252 + 5096*b222*
    b253 + 312*b222*b254 + 7072*b222*b255 + 3640*b222*b256 + 6448*b222*b257 + 
    4056*b222*b258 + 6864*b222*b259 + 9464*b222*b260 + 4472*b222*b261 + 520*
    b222*b262 + 8528*b222*b263 + 3224*b222*b264 + 104*b222*b265 + 3124*b222*
    b267 + 3740*b222*b268 + 2112*b222*b269 + 1144*b222*b270 + 2640*b222*b271 + 
    1936*b222*b272 + 1320*b222*b273 + 2200*b222*b274 + 2156*b222*b275 + 132*
    b222*b276 + 2992*b222*b277 + 1540*b222*b278 + 2728*b222*b279 + 1716*b222*
    b280 + 2904*b222*b281 + 4004*b222*b282 + 1892*b222*b283 + 220*b222*b284 + 
    3608*b222*b285 + 1364*b222*b286 + 44*b222*b287 + 4686*b222*b289 + 5610*b222
    *b290 + 3168*b222*b291 + 1716*b222*b292 + 3960*b222*b293 + 2904*b222*b294
     + 1980*b222*b295 + 3300*b222*b296 + 3234*b222*b297 + 198*b222*b298 + 4488*
    b222*b299 + 2310*b222*b300 + 4092*b222*b301 + 2574*b222*b302 + 4356*b222*
    b303 + 6006*b222*b304 + 2838*b222*b305 + 330*b222*b306 + 5412*b222*b307 + 
    2046*b222*b308 + 66*b222*b309 + 9656*b222*b311 + 11560*b222*b312 + 6528*
    b222*b313 + 3536*b222*b314 + 8160*b222*b315 + 5984*b222*b316 + 4080*b222*
    b317 + 6800*b222*b318 + 6664*b222*b319 + 408*b222*b320 + 9248*b222*b321 + 
    4760*b222*b322 + 8432*b222*b323 + 5304*b222*b324 + 8976*b222*b325 + 12376*
    b222*b326 + 5848*b222*b327 + 680*b222*b328 + 11152*b222*b329 + 4216*b222*
    b330 + 136*b222*b331 + 7384*b222*b333 + 8840*b222*b334 + 4992*b222*b335 + 
    2704*b222*b336 + 6240*b222*b337 + 4576*b222*b338 + 3120*b222*b339 + 5200*
    b222*b340 + 5096*b222*b341 + 312*b222*b342 + 7072*b222*b343 + 3640*b222*
    b344 + 6448*b222*b345 + 4056*b222*b346 + 6864*b222*b347 + 9464*b222*b348 + 
    4472*b222*b349 + 520*b222*b350 + 8528*b222*b351 + 3224*b222*b352 + 104*b222
    *b353 + 3976*b222*b355 + 4760*b222*b356 + 2688*b222*b357 + 1456*b222*b358
     + 3360*b222*b359 + 2464*b222*b360 + 1680*b222*b361 + 2800*b222*b362 + 2744
    *b222*b363 + 168*b222*b364 + 3808*b222*b365 + 1960*b222*b366 + 3472*b222*
    b367 + 2184*b222*b368 + 3696*b222*b369 + 5096*b222*b370 + 2408*b222*b371 + 
    280*b222*b372 + 4592*b222*b373 + 1736*b222*b374 + 56*b222*b375 + 10650*b222
    *b377 + 12750*b222*b378 + 7200*b222*b379 + 3900*b222*b380 + 9000*b222*b381
     + 6600*b222*b382 + 4500*b222*b383 + 7500*b222*b384 + 7350*b222*b385 + 450*
    b222*b386 + 10200*b222*b387 + 5250*b222*b388 + 9300*b222*b389 + 5850*b222*
    b390 + 9900*b222*b391 + 13650*b222*b392 + 6450*b222*b393 + 750*b222*b394 + 
    12300*b222*b395 + 4650*b222*b396 + 150*b222*b397 + 14058*b222*b399 + 16830*
    b222*b400 + 9504*b222*b401 + 5148*b222*b402 + 11880*b222*b403 + 8712*b222*
    b404 + 5940*b222*b405 + 9900*b222*b406 + 9702*b222*b407 + 594*b222*b408 + 
    13464*b222*b409 + 6930*b222*b410 + 12276*b222*b411 + 7722*b222*b412 + 13068
    *b222*b413 + 18018*b222*b414 + 8514*b222*b415 + 990*b222*b416 + 16236*b222*
    b417 + 6138*b222*b418 + 198*b222*b419 + 852*b222*b421 + 1020*b222*b422 + 
    576*b222*b423 + 312*b222*b424 + 720*b222*b425 + 528*b222*b426 + 360*b222*
    b427 + 600*b222*b428 + 588*b222*b429 + 36*b222*b430 + 816*b222*b431 + 420*
    b222*b432 + 744*b222*b433 + 468*b222*b434 + 792*b222*b435 + 1092*b222*b436
     + 516*b222*b437 + 60*b222*b438 + 984*b222*b439 + 372*b222*b440 + 12*b222*
    b441 + 12070*b222*b443 + 14450*b222*b444 + 8160*b222*b445 + 4420*b222*b446
     + 10200*b222*b447 + 7480*b222*b448 + 5100*b222*b449 + 8500*b222*b450 + 
    8330*b222*b451 + 510*b222*b452 + 11560*b222*b453 + 5950*b222*b454 + 10540*
    b222*b455 + 6630*b222*b456 + 11220*b222*b457 + 15470*b222*b458 + 7310*b222*
    b459 + 850*b222*b460 + 13940*b222*b461 + 5270*b222*b462 + 170*b222*b463 + 
    9230*b222*b465 + 11050*b222*b466 + 6240*b222*b467 + 3380*b222*b468 + 7800*
    b222*b469 + 5720*b222*b470 + 3900*b222*b471 + 6500*b222*b472 + 6370*b222*
    b473 + 390*b222*b474 + 8840*b222*b475 + 4550*b222*b476 + 8060*b222*b477 + 
    5070*b222*b478 + 8580*b222*b479 + 11830*b222*b480 + 5590*b222*b481 + 650*
    b222*b482 + 10660*b222*b483 + 4030*b222*b484 + 130*b222*b485 + 6674*b222*
    b487 + 7990*b222*b488 + 4512*b222*b489 + 2444*b222*b490 + 5640*b222*b491 + 
    4136*b222*b492 + 2820*b222*b493 + 4700*b222*b494 + 4606*b222*b495 + 282*
    b222*b496 + 6392*b222*b497 + 3290*b222*b498 + 5828*b222*b499 + 3666*b222*
    b500 + 6204*b222*b501 + 8554*b222*b502 + 4042*b222*b503 + 470*b222*b504 + 
    7708*b222*b505 + 2914*b222*b506 + 94*b222*b507 + 12780*b222*b509 + 15300*
    b222*b510 + 8640*b222*b511 + 4680*b222*b512 + 10800*b222*b513 + 7920*b222*
    b514 + 5400*b222*b515 + 9000*b222*b516 + 8820*b222*b517 + 540*b222*b518 + 
    12240*b222*b519 + 6300*b222*b520 + 11160*b222*b521 + 7020*b222*b522 + 11880
    *b222*b523 + 16380*b222*b524 + 7740*b222*b525 + 900*b222*b526 + 14760*b222*
    b527 + 5580*b222*b528 + 180*b222*b529 + 264*b222*b531 + 572*b222*b532 + 154
    *b222*b533 + 2232*b222*b534 + 4836*b222*b535 + 1302*b222*b536 + 528*b222*
    b537 + 1144*b222*b538 + 308*b222*b539 + 1728*b222*b540 + 3744*b222*b541 + 
    1008*b222*b542 + 1008*b222*b543 + 2184*b222*b544 + 588*b222*b545 + 1704*
    b222*b546 + 3692*b222*b547 + 994*b222*b548 + 2256*b222*b549 + 4888*b222*
    b550 + 1316*b222*b551 + 480*b222*b552 + 1040*b222*b553 + 280*b222*b554 + 
    1104*b222*b558 + 2392*b222*b559 + 644*b222*b560 + 1248*b222*b561 + 2704*
    b222*b562 + 728*b222*b563 + 528*b222*b564 + 1144*b222*b565 + 308*b222*b566
     + 792*b222*b567 + 1716*b222*b568 + 462*b222*b569 + 1632*b222*b570 + 3536*
    b222*b571 + 952*b222*b572 + 1248*b222*b573 + 2704*b222*b574 + 728*b222*b575
     + 672*b222*b576 + 1456*b222*b577 + 392*b222*b578 + 1800*b222*b579 + 3900*
    b222*b580 + 1050*b222*b581 + 2376*b222*b582 + 5148*b222*b583 + 1386*b222*
    b584 + 144*b222*b585 + 312*b222*b586 + 84*b222*b587 + 2040*b222*b588 + 4420
    *b222*b589 + 1190*b222*b590 + 1560*b222*b591 + 3380*b222*b592 + 910*b222*
    b593 + 1128*b222*b594 + 2444*b222*b595 + 658*b222*b596 + 2160*b222*b597 + 
    4680*b222*b598 + 1260*b222*b599 + 15810*b222*b600 + 8928*b222*b601 + 4836*
    b222*b602 + 11160*b222*b603 + 8184*b222*b604 + 5580*b222*b605 + 9300*b222*
    b606 + 9114*b222*b607 + 558*b222*b608 + 12648*b222*b609 + 6510*b222*b610 + 
    11532*b222*b611 + 7254*b222*b612 + 12276*b222*b613 + 4836*b222*b614 + 16926
    *b222*b615 + 7998*b222*b616 + 930*b222*b617 + 15252*b222*b618 + 5766*b222*
    b619 + 186*b222*b620 + 1302*b222*b622 + 13206*b222*b623 + 888*b222*b624 + 
    1924*b222*b625 + 518*b222*b626 + 1248*b223*b246 + 4368*b223*b247 + 528*b223
    *b248 + 1680*b223*b249 + 3936*b223*b250 + 1248*b223*b251 + 3312*b223*b252
     + 2688*b223*b253 + 4128*b223*b254 + 2160*b223*b255 + 4368*b223*b256 + 2832
    *b223*b257 + 864*b223*b258 + 3648*b223*b259 + 864*b223*b260 + 2736*b223*
    b261 + 1728*b223*b262 + 2928*b223*b263 + 1728*b223*b264 + 1008*b223*b265 + 
    3408*b223*b266 + 4108*b223*b268 + 14378*b223*b269 + 1738*b223*b270 + 5530*
    b223*b271 + 12956*b223*b272 + 4108*b223*b273 + 10902*b223*b274 + 8848*b223*
    b275 + 13588*b223*b276 + 7110*b223*b277 + 14378*b223*b278 + 9322*b223*b279
     + 2844*b223*b280 + 12008*b223*b281 + 2844*b223*b282 + 9006*b223*b283 + 
    5688*b223*b284 + 9638*b223*b285 + 5688*b223*b286 + 3318*b223*b287 + 11218*
    b223*b288 + 3640*b223*b290 + 12740*b223*b291 + 1540*b223*b292 + 4900*b223*
    b293 + 11480*b223*b294 + 3640*b223*b295 + 9660*b223*b296 + 7840*b223*b297
     + 12040*b223*b298 + 6300*b223*b299 + 12740*b223*b300 + 8260*b223*b301 + 
    2520*b223*b302 + 10640*b223*b303 + 2520*b223*b304 + 7980*b223*b305 + 5040*
    b223*b306 + 8540*b223*b307 + 5040*b223*b308 + 2940*b223*b309 + 9940*b223*
    b310 + 1456*b223*b312 + 5096*b223*b313 + 616*b223*b314 + 1960*b223*b315 + 
    4592*b223*b316 + 1456*b223*b317 + 3864*b223*b318 + 3136*b223*b319 + 4816*
    b223*b320 + 2520*b223*b321 + 5096*b223*b322 + 3304*b223*b323 + 1008*b223*
    b324 + 4256*b223*b325 + 1008*b223*b326 + 3192*b223*b327 + 2016*b223*b328 + 
    3416*b223*b329 + 2016*b223*b330 + 1176*b223*b331 + 3976*b223*b332 + 988*
    b223*b334 + 3458*b223*b335 + 418*b223*b336 + 1330*b223*b337 + 3116*b223*
    b338 + 988*b223*b339 + 2622*b223*b340 + 2128*b223*b341 + 3268*b223*b342 + 
    1710*b223*b343 + 3458*b223*b344 + 2242*b223*b345 + 684*b223*b346 + 2888*
    b223*b347 + 684*b223*b348 + 2166*b223*b349 + 1368*b223*b350 + 2318*b223*
    b351 + 1368*b223*b352 + 798*b223*b353 + 2698*b223*b354 + 4524*b223*b356 + 
    15834*b223*b357 + 1914*b223*b358 + 6090*b223*b359 + 14268*b223*b360 + 4524*
    b223*b361 + 12006*b223*b362 + 9744*b223*b363 + 14964*b223*b364 + 7830*b223*
    b365 + 15834*b223*b366 + 10266*b223*b367 + 3132*b223*b368 + 13224*b223*b369
     + 3132*b223*b370 + 9918*b223*b371 + 6264*b223*b372 + 10614*b223*b373 + 
    6264*b223*b374 + 3654*b223*b375 + 12354*b223*b376 + 4160*b223*b378 + 14560*
    b223*b379 + 1760*b223*b380 + 5600*b223*b381 + 13120*b223*b382 + 4160*b223*
    b383 + 11040*b223*b384 + 8960*b223*b385 + 13760*b223*b386 + 7200*b223*b387
     + 14560*b223*b388 + 9440*b223*b389 + 2880*b223*b390 + 12160*b223*b391 + 
    2880*b223*b392 + 9120*b223*b393 + 5760*b223*b394 + 9760*b223*b395 + 5760*
    b223*b396 + 3360*b223*b397 + 11360*b223*b398 + 208*b223*b400 + 728*b223*
    b401 + 88*b223*b402 + 280*b223*b403 + 656*b223*b404 + 208*b223*b405 + 552*
    b223*b406 + 448*b223*b407 + 688*b223*b408 + 360*b223*b409 + 728*b223*b410
     + 472*b223*b411 + 144*b223*b412 + 608*b223*b413 + 144*b223*b414 + 456*b223
    *b415 + 288*b223*b416 + 488*b223*b417 + 288*b223*b418 + 168*b223*b419 + 568
    *b223*b420 + 1092*b223*b422 + 3822*b223*b423 + 462*b223*b424 + 1470*b223*
    b425 + 3444*b223*b426 + 1092*b223*b427 + 2898*b223*b428 + 2352*b223*b429 + 
    3612*b223*b430 + 1890*b223*b431 + 3822*b223*b432 + 2478*b223*b433 + 756*
    b223*b434 + 3192*b223*b435 + 756*b223*b436 + 2394*b223*b437 + 1512*b223*
    b438 + 2562*b223*b439 + 1512*b223*b440 + 882*b223*b441 + 2982*b223*b442 + 
    1768*b223*b444 + 6188*b223*b445 + 748*b223*b446 + 2380*b223*b447 + 5576*
    b223*b448 + 1768*b223*b449 + 4692*b223*b450 + 3808*b223*b451 + 5848*b223*
    b452 + 3060*b223*b453 + 6188*b223*b454 + 4012*b223*b455 + 1224*b223*b456 + 
    5168*b223*b457 + 1224*b223*b458 + 3876*b223*b459 + 2448*b223*b460 + 4148*
    b223*b461 + 2448*b223*b462 + 1428*b223*b463 + 4828*b223*b464 + 624*b223*
    b466 + 2184*b223*b467 + 264*b223*b468 + 840*b223*b469 + 1968*b223*b470 + 
    624*b223*b471 + 1656*b223*b472 + 1344*b223*b473 + 2064*b223*b474 + 1080*
    b223*b475 + 2184*b223*b476 + 1416*b223*b477 + 432*b223*b478 + 1824*b223*
    b479 + 432*b223*b480 + 1368*b223*b481 + 864*b223*b482 + 1464*b223*b483 + 
    864*b223*b484 + 504*b223*b485 + 1704*b223*b486 + 1040*b223*b488 + 3640*b223
    *b489 + 440*b223*b490 + 1400*b223*b491 + 3280*b223*b492 + 1040*b223*b493 + 
    2760*b223*b494 + 2240*b223*b495 + 3440*b223*b496 + 1800*b223*b497 + 3640*
    b223*b498 + 2360*b223*b499 + 720*b223*b500 + 3040*b223*b501 + 720*b223*b502
     + 2280*b223*b503 + 1440*b223*b504 + 2440*b223*b505 + 1440*b223*b506 + 840*
    b223*b507 + 2840*b223*b508 + 3484*b223*b510 + 12194*b223*b511 + 1474*b223*
    b512 + 4690*b223*b513 + 10988*b223*b514 + 3484*b223*b515 + 9246*b223*b516
     + 7504*b223*b517 + 11524*b223*b518 + 6030*b223*b519 + 12194*b223*b520 + 
    7906*b223*b521 + 2412*b223*b522 + 10184*b223*b523 + 2412*b223*b524 + 7638*
    b223*b525 + 4824*b223*b526 + 8174*b223*b527 + 4824*b223*b528 + 2814*b223*
    b529 + 9514*b223*b530 + 2772*b223*b531 + 5148*b223*b532 + 1452*b223*b533 + 
    1134*b223*b534 + 2106*b223*b535 + 594*b223*b536 + 2058*b223*b537 + 3822*
    b223*b538 + 1078*b223*b539 + 4158*b223*b540 + 7722*b223*b541 + 2178*b223*
    b542 + 3822*b223*b543 + 7098*b223*b544 + 2002*b223*b545 + 3024*b223*b546 + 
    5616*b223*b547 + 1584*b223*b548 + 1218*b223*b549 + 2262*b223*b550 + 638*
    b223*b551 + 3402*b223*b552 + 6318*b223*b553 + 1782*b223*b554 + 1932*b223*
    b555 + 3588*b223*b556 + 1012*b223*b557 + 1008*b223*b561 + 1872*b223*b562 + 
    528*b223*b563 + 3318*b223*b564 + 6162*b223*b565 + 1738*b223*b566 + 2940*
    b223*b567 + 5460*b223*b568 + 1540*b223*b569 + 1176*b223*b570 + 2184*b223*
    b571 + 616*b223*b572 + 798*b223*b573 + 1482*b223*b574 + 418*b223*b575 + 
    3654*b223*b576 + 6786*b223*b577 + 1914*b223*b578 + 3360*b223*b579 + 6240*
    b223*b580 + 1760*b223*b581 + 168*b223*b582 + 312*b223*b583 + 88*b223*b584
     + 882*b223*b585 + 1638*b223*b586 + 462*b223*b587 + 1428*b223*b588 + 2652*
    b223*b589 + 748*b223*b590 + 504*b223*b591 + 936*b223*b592 + 264*b223*b593
     + 840*b223*b594 + 1560*b223*b595 + 440*b223*b596 + 2814*b223*b597 + 5226*
    b223*b598 + 1474*b223*b599 + 3692*b223*b600 + 12922*b223*b601 + 1562*b223*
    b602 + 4970*b223*b603 + 11644*b223*b604 + 3692*b223*b605 + 9798*b223*b606
     + 7952*b223*b607 + 12212*b223*b608 + 6390*b223*b609 + 12922*b223*b610 + 
    8378*b223*b611 + 2556*b223*b612 + 10792*b223*b613 + 5538*b223*b614 + 2556*
    b223*b615 + 8094*b223*b616 + 5112*b223*b617 + 8662*b223*b618 + 5112*b223*
    b619 + 2982*b223*b620 + 10082*b223*b621 + 1562*b223*b622 + 1554*b223*b624
     + 2886*b223*b625 + 814*b223*b626 + 1248*b224*b245 + 1392*b224*b247 + 3936*
    b224*b248 + 3936*b224*b249 + 288*b224*b250 + 3408*b224*b251 + 384*b224*b252
     + 3696*b224*b253 + 3552*b224*b254 + 1440*b224*b255 + 4272*b224*b256 + 3648
    *b224*b257 + 3648*b224*b258 + 1920*b224*b259 + 2688*b224*b260 + 48*b224*
    b261 + 2400*b224*b262 + 192*b224*b263 + 1728*b224*b264 + 1296*b224*b265 + 
    4080*b224*b266 + 4108*b224*b267 + 4582*b224*b269 + 12956*b224*b270 + 12956*
    b224*b271 + 948*b224*b272 + 11218*b224*b273 + 1264*b224*b274 + 12166*b224*
    b275 + 11692*b224*b276 + 4740*b224*b277 + 14062*b224*b278 + 12008*b224*b279
     + 12008*b224*b280 + 6320*b224*b281 + 8848*b224*b282 + 158*b224*b283 + 7900
    *b224*b284 + 632*b224*b285 + 5688*b224*b286 + 4266*b224*b287 + 13430*b224*
    b288 + 3640*b224*b289 + 4060*b224*b291 + 11480*b224*b292 + 11480*b224*b293
     + 840*b224*b294 + 9940*b224*b295 + 1120*b224*b296 + 10780*b224*b297 + 
    10360*b224*b298 + 4200*b224*b299 + 12460*b224*b300 + 10640*b224*b301 + 
    10640*b224*b302 + 5600*b224*b303 + 7840*b224*b304 + 140*b224*b305 + 7000*
    b224*b306 + 560*b224*b307 + 5040*b224*b308 + 3780*b224*b309 + 11900*b224*
    b310 + 1456*b224*b311 + 1624*b224*b313 + 4592*b224*b314 + 4592*b224*b315 + 
    336*b224*b316 + 3976*b224*b317 + 448*b224*b318 + 4312*b224*b319 + 4144*b224
    *b320 + 1680*b224*b321 + 4984*b224*b322 + 4256*b224*b323 + 4256*b224*b324
     + 2240*b224*b325 + 3136*b224*b326 + 56*b224*b327 + 2800*b224*b328 + 224*
    b224*b329 + 2016*b224*b330 + 1512*b224*b331 + 4760*b224*b332 + 988*b224*
    b333 + 1102*b224*b335 + 3116*b224*b336 + 3116*b224*b337 + 228*b224*b338 + 
    2698*b224*b339 + 304*b224*b340 + 2926*b224*b341 + 2812*b224*b342 + 1140*
    b224*b343 + 3382*b224*b344 + 2888*b224*b345 + 2888*b224*b346 + 1520*b224*
    b347 + 2128*b224*b348 + 38*b224*b349 + 1900*b224*b350 + 152*b224*b351 + 
    1368*b224*b352 + 1026*b224*b353 + 3230*b224*b354 + 4524*b224*b355 + 5046*
    b224*b357 + 14268*b224*b358 + 14268*b224*b359 + 1044*b224*b360 + 12354*b224
    *b361 + 1392*b224*b362 + 13398*b224*b363 + 12876*b224*b364 + 5220*b224*b365
     + 15486*b224*b366 + 13224*b224*b367 + 13224*b224*b368 + 6960*b224*b369 + 
    9744*b224*b370 + 174*b224*b371 + 8700*b224*b372 + 696*b224*b373 + 6264*b224
    *b374 + 4698*b224*b375 + 14790*b224*b376 + 4160*b224*b377 + 4640*b224*b379
     + 13120*b224*b380 + 13120*b224*b381 + 960*b224*b382 + 11360*b224*b383 + 
    1280*b224*b384 + 12320*b224*b385 + 11840*b224*b386 + 4800*b224*b387 + 14240
    *b224*b388 + 12160*b224*b389 + 12160*b224*b390 + 6400*b224*b391 + 8960*b224
    *b392 + 160*b224*b393 + 8000*b224*b394 + 640*b224*b395 + 5760*b224*b396 + 
    4320*b224*b397 + 13600*b224*b398 + 208*b224*b399 + 232*b224*b401 + 656*b224
    *b402 + 656*b224*b403 + 48*b224*b404 + 568*b224*b405 + 64*b224*b406 + 616*
    b224*b407 + 592*b224*b408 + 240*b224*b409 + 712*b224*b410 + 608*b224*b411
     + 608*b224*b412 + 320*b224*b413 + 448*b224*b414 + 8*b224*b415 + 400*b224*
    b416 + 32*b224*b417 + 288*b224*b418 + 216*b224*b419 + 680*b224*b420 + 1092*
    b224*b421 + 1218*b224*b423 + 3444*b224*b424 + 3444*b224*b425 + 252*b224*
    b426 + 2982*b224*b427 + 336*b224*b428 + 3234*b224*b429 + 3108*b224*b430 + 
    1260*b224*b431 + 3738*b224*b432 + 3192*b224*b433 + 3192*b224*b434 + 1680*
    b224*b435 + 2352*b224*b436 + 42*b224*b437 + 2100*b224*b438 + 168*b224*b439
     + 1512*b224*b440 + 1134*b224*b441 + 3570*b224*b442 + 1768*b224*b443 + 1972
    *b224*b445 + 5576*b224*b446 + 5576*b224*b447 + 408*b224*b448 + 4828*b224*
    b449 + 544*b224*b450 + 5236*b224*b451 + 5032*b224*b452 + 2040*b224*b453 + 
    6052*b224*b454 + 5168*b224*b455 + 5168*b224*b456 + 2720*b224*b457 + 3808*
    b224*b458 + 68*b224*b459 + 3400*b224*b460 + 272*b224*b461 + 2448*b224*b462
     + 1836*b224*b463 + 5780*b224*b464 + 624*b224*b465 + 696*b224*b467 + 1968*
    b224*b468 + 1968*b224*b469 + 144*b224*b470 + 1704*b224*b471 + 192*b224*b472
     + 1848*b224*b473 + 1776*b224*b474 + 720*b224*b475 + 2136*b224*b476 + 1824*
    b224*b477 + 1824*b224*b478 + 960*b224*b479 + 1344*b224*b480 + 24*b224*b481
     + 1200*b224*b482 + 96*b224*b483 + 864*b224*b484 + 648*b224*b485 + 2040*
    b224*b486 + 1040*b224*b487 + 1160*b224*b489 + 3280*b224*b490 + 3280*b224*
    b491 + 240*b224*b492 + 2840*b224*b493 + 320*b224*b494 + 3080*b224*b495 + 
    2960*b224*b496 + 1200*b224*b497 + 3560*b224*b498 + 3040*b224*b499 + 3040*
    b224*b500 + 1600*b224*b501 + 2240*b224*b502 + 40*b224*b503 + 2000*b224*b504
     + 160*b224*b505 + 1440*b224*b506 + 1080*b224*b507 + 3400*b224*b508 + 3484*
    b224*b509 + 3886*b224*b511 + 10988*b224*b512 + 10988*b224*b513 + 804*b224*
    b514 + 9514*b224*b515 + 1072*b224*b516 + 10318*b224*b517 + 9916*b224*b518
     + 4020*b224*b519 + 11926*b224*b520 + 10184*b224*b521 + 10184*b224*b522 + 
    5360*b224*b523 + 7504*b224*b524 + 134*b224*b525 + 6700*b224*b526 + 536*b224
    *b527 + 4824*b224*b528 + 3618*b224*b529 + 11390*b224*b530 + 12540*b224*b531
     + 12276*b224*b532 + 264*b224*b533 + 5130*b224*b534 + 5022*b224*b535 + 108*
    b224*b536 + 9310*b224*b537 + 9114*b224*b538 + 196*b224*b539 + 18810*b224*
    b540 + 18414*b224*b541 + 396*b224*b542 + 17290*b224*b543 + 16926*b224*b544
     + 364*b224*b545 + 13680*b224*b546 + 13392*b224*b547 + 288*b224*b548 + 5510
    *b224*b549 + 5394*b224*b550 + 116*b224*b551 + 15390*b224*b552 + 15066*b224*
    b553 + 324*b224*b554 + 8740*b224*b555 + 8556*b224*b556 + 184*b224*b557 + 
    4560*b224*b561 + 4464*b224*b562 + 96*b224*b563 + 15010*b224*b564 + 14694*
    b224*b565 + 316*b224*b566 + 13300*b224*b567 + 13020*b224*b568 + 280*b224*
    b569 + 5320*b224*b570 + 5208*b224*b571 + 112*b224*b572 + 3610*b224*b573 + 
    3534*b224*b574 + 76*b224*b575 + 16530*b224*b576 + 16182*b224*b577 + 348*
    b224*b578 + 15200*b224*b579 + 14880*b224*b580 + 320*b224*b581 + 760*b224*
    b582 + 744*b224*b583 + 16*b224*b584 + 3990*b224*b585 + 3906*b224*b586 + 84*
    b224*b587 + 6460*b224*b588 + 6324*b224*b589 + 136*b224*b590 + 2280*b224*
    b591 + 2232*b224*b592 + 48*b224*b593 + 3800*b224*b594 + 3720*b224*b595 + 80
    *b224*b596 + 12730*b224*b597 + 12462*b224*b598 + 268*b224*b599 + 4118*b224*
    b601 + 11644*b224*b602 + 11644*b224*b603 + 852*b224*b604 + 10082*b224*b605
     + 1136*b224*b606 + 10934*b224*b607 + 10508*b224*b608 + 4260*b224*b609 + 
    12638*b224*b610 + 10792*b224*b611 + 10792*b224*b612 + 5680*b224*b613 + 
    13206*b224*b614 + 7952*b224*b615 + 142*b224*b616 + 7100*b224*b617 + 568*
    b224*b618 + 5112*b224*b619 + 3834*b224*b620 + 12070*b224*b621 + 284*b224*
    b622 + 3692*b224*b623 + 7030*b224*b624 + 6882*b224*b625 + 148*b224*b626 + 
    4368*b225*b245 + 1392*b225*b246 + 48*b225*b248 + 720*b225*b249 + 528*b225*
    b250 + 1680*b225*b251 + 528*b225*b252 + 960*b225*b253 + 1008*b225*b254 + 
    2928*b225*b255 + 3840*b225*b256 + 2784*b225*b257 + 1008*b225*b258 + 3648*
    b225*b259 + 2112*b225*b260 + 4080*b225*b261 + 4512*b225*b262 + 4320*b225*
    b263 + 2448*b225*b264 + 144*b225*b265 + 2304*b225*b266 + 14378*b225*b267 + 
    4582*b225*b268 + 158*b225*b270 + 2370*b225*b271 + 1738*b225*b272 + 5530*
    b225*b273 + 1738*b225*b274 + 3160*b225*b275 + 3318*b225*b276 + 9638*b225*
    b277 + 12640*b225*b278 + 9164*b225*b279 + 3318*b225*b280 + 12008*b225*b281
     + 6952*b225*b282 + 13430*b225*b283 + 14852*b225*b284 + 14220*b225*b285 + 
    8058*b225*b286 + 474*b225*b287 + 7584*b225*b288 + 12740*b225*b289 + 4060*
    b225*b290 + 140*b225*b292 + 2100*b225*b293 + 1540*b225*b294 + 4900*b225*
    b295 + 1540*b225*b296 + 2800*b225*b297 + 2940*b225*b298 + 8540*b225*b299 + 
    11200*b225*b300 + 8120*b225*b301 + 2940*b225*b302 + 10640*b225*b303 + 6160*
    b225*b304 + 11900*b225*b305 + 13160*b225*b306 + 12600*b225*b307 + 7140*b225
    *b308 + 420*b225*b309 + 6720*b225*b310 + 5096*b225*b311 + 1624*b225*b312 + 
    56*b225*b314 + 840*b225*b315 + 616*b225*b316 + 1960*b225*b317 + 616*b225*
    b318 + 1120*b225*b319 + 1176*b225*b320 + 3416*b225*b321 + 4480*b225*b322 + 
    3248*b225*b323 + 1176*b225*b324 + 4256*b225*b325 + 2464*b225*b326 + 4760*
    b225*b327 + 5264*b225*b328 + 5040*b225*b329 + 2856*b225*b330 + 168*b225*
    b331 + 2688*b225*b332 + 3458*b225*b333 + 1102*b225*b334 + 38*b225*b336 + 
    570*b225*b337 + 418*b225*b338 + 1330*b225*b339 + 418*b225*b340 + 760*b225*
    b341 + 798*b225*b342 + 2318*b225*b343 + 3040*b225*b344 + 2204*b225*b345 + 
    798*b225*b346 + 2888*b225*b347 + 1672*b225*b348 + 3230*b225*b349 + 3572*
    b225*b350 + 3420*b225*b351 + 1938*b225*b352 + 114*b225*b353 + 1824*b225*
    b354 + 15834*b225*b355 + 5046*b225*b356 + 174*b225*b358 + 2610*b225*b359 + 
    1914*b225*b360 + 6090*b225*b361 + 1914*b225*b362 + 3480*b225*b363 + 3654*
    b225*b364 + 10614*b225*b365 + 13920*b225*b366 + 10092*b225*b367 + 3654*b225
    *b368 + 13224*b225*b369 + 7656*b225*b370 + 14790*b225*b371 + 16356*b225*
    b372 + 15660*b225*b373 + 8874*b225*b374 + 522*b225*b375 + 8352*b225*b376 + 
    14560*b225*b377 + 4640*b225*b378 + 160*b225*b380 + 2400*b225*b381 + 1760*
    b225*b382 + 5600*b225*b383 + 1760*b225*b384 + 3200*b225*b385 + 3360*b225*
    b386 + 9760*b225*b387 + 12800*b225*b388 + 9280*b225*b389 + 3360*b225*b390
     + 12160*b225*b391 + 7040*b225*b392 + 13600*b225*b393 + 15040*b225*b394 + 
    14400*b225*b395 + 8160*b225*b396 + 480*b225*b397 + 7680*b225*b398 + 728*
    b225*b399 + 232*b225*b400 + 8*b225*b402 + 120*b225*b403 + 88*b225*b404 + 
    280*b225*b405 + 88*b225*b406 + 160*b225*b407 + 168*b225*b408 + 488*b225*
    b409 + 640*b225*b410 + 464*b225*b411 + 168*b225*b412 + 608*b225*b413 + 352*
    b225*b414 + 680*b225*b415 + 752*b225*b416 + 720*b225*b417 + 408*b225*b418
     + 24*b225*b419 + 384*b225*b420 + 3822*b225*b421 + 1218*b225*b422 + 42*b225
    *b424 + 630*b225*b425 + 462*b225*b426 + 1470*b225*b427 + 462*b225*b428 + 
    840*b225*b429 + 882*b225*b430 + 2562*b225*b431 + 3360*b225*b432 + 2436*b225
    *b433 + 882*b225*b434 + 3192*b225*b435 + 1848*b225*b436 + 3570*b225*b437 + 
    3948*b225*b438 + 3780*b225*b439 + 2142*b225*b440 + 126*b225*b441 + 2016*
    b225*b442 + 6188*b225*b443 + 1972*b225*b444 + 68*b225*b446 + 1020*b225*b447
     + 748*b225*b448 + 2380*b225*b449 + 748*b225*b450 + 1360*b225*b451 + 1428*
    b225*b452 + 4148*b225*b453 + 5440*b225*b454 + 3944*b225*b455 + 1428*b225*
    b456 + 5168*b225*b457 + 2992*b225*b458 + 5780*b225*b459 + 6392*b225*b460 + 
    6120*b225*b461 + 3468*b225*b462 + 204*b225*b463 + 3264*b225*b464 + 2184*
    b225*b465 + 696*b225*b466 + 24*b225*b468 + 360*b225*b469 + 264*b225*b470 + 
    840*b225*b471 + 264*b225*b472 + 480*b225*b473 + 504*b225*b474 + 1464*b225*
    b475 + 1920*b225*b476 + 1392*b225*b477 + 504*b225*b478 + 1824*b225*b479 + 
    1056*b225*b480 + 2040*b225*b481 + 2256*b225*b482 + 2160*b225*b483 + 1224*
    b225*b484 + 72*b225*b485 + 1152*b225*b486 + 3640*b225*b487 + 1160*b225*b488
     + 40*b225*b490 + 600*b225*b491 + 440*b225*b492 + 1400*b225*b493 + 440*b225
    *b494 + 800*b225*b495 + 840*b225*b496 + 2440*b225*b497 + 3200*b225*b498 + 
    2320*b225*b499 + 840*b225*b500 + 3040*b225*b501 + 1760*b225*b502 + 3400*
    b225*b503 + 3760*b225*b504 + 3600*b225*b505 + 2040*b225*b506 + 120*b225*
    b507 + 1920*b225*b508 + 12194*b225*b509 + 3886*b225*b510 + 134*b225*b512 + 
    2010*b225*b513 + 1474*b225*b514 + 4690*b225*b515 + 1474*b225*b516 + 2680*
    b225*b517 + 2814*b225*b518 + 8174*b225*b519 + 10720*b225*b520 + 7772*b225*
    b521 + 2814*b225*b522 + 10184*b225*b523 + 5896*b225*b524 + 11390*b225*b525
     + 12596*b225*b526 + 12060*b225*b527 + 6834*b225*b528 + 402*b225*b529 + 
    6432*b225*b530 + 10824*b225*b531 + 9504*b225*b532 + 3828*b225*b533 + 4428*
    b225*b534 + 3888*b225*b535 + 1566*b225*b536 + 8036*b225*b537 + 7056*b225*
    b538 + 2842*b225*b539 + 16236*b225*b540 + 14256*b225*b541 + 5742*b225*b542
     + 14924*b225*b543 + 13104*b225*b544 + 5278*b225*b545 + 11808*b225*b546 + 
    10368*b225*b547 + 4176*b225*b548 + 4756*b225*b549 + 4176*b225*b550 + 1682*
    b225*b551 + 13284*b225*b552 + 11664*b225*b553 + 4698*b225*b554 + 7544*b225*
    b555 + 6624*b225*b556 + 2668*b225*b557 + 3936*b225*b561 + 3456*b225*b562 + 
    1392*b225*b563 + 12956*b225*b564 + 11376*b225*b565 + 4582*b225*b566 + 11480
    *b225*b567 + 10080*b225*b568 + 4060*b225*b569 + 4592*b225*b570 + 4032*b225*
    b571 + 1624*b225*b572 + 3116*b225*b573 + 2736*b225*b574 + 1102*b225*b575 + 
    14268*b225*b576 + 12528*b225*b577 + 5046*b225*b578 + 13120*b225*b579 + 
    11520*b225*b580 + 4640*b225*b581 + 656*b225*b582 + 576*b225*b583 + 232*b225
    *b584 + 3444*b225*b585 + 3024*b225*b586 + 1218*b225*b587 + 5576*b225*b588
     + 4896*b225*b589 + 1972*b225*b590 + 1968*b225*b591 + 1728*b225*b592 + 696*
    b225*b593 + 3280*b225*b594 + 2880*b225*b595 + 1160*b225*b596 + 10988*b225*
    b597 + 9648*b225*b598 + 3886*b225*b599 + 4118*b225*b600 + 142*b225*b602 + 
    2130*b225*b603 + 1562*b225*b604 + 4970*b225*b605 + 1562*b225*b606 + 2840*
    b225*b607 + 2982*b225*b608 + 8662*b225*b609 + 11360*b225*b610 + 8236*b225*
    b611 + 2982*b225*b612 + 10792*b225*b613 + 10224*b225*b614 + 6248*b225*b615
     + 12070*b225*b616 + 13348*b225*b617 + 12780*b225*b618 + 7242*b225*b619 + 
    426*b225*b620 + 6816*b225*b621 + 4118*b225*b622 + 12922*b225*b623 + 6068*
    b225*b624 + 5328*b225*b625 + 2146*b225*b626 + 528*b226*b245 + 3936*b226*
    b246 + 48*b226*b247 + 4320*b226*b249 + 3168*b226*b250 + 1968*b226*b251 + 
    720*b226*b252 + 3984*b226*b253 + 4608*b226*b254 + 3552*b226*b255 + 2160*
    b226*b256 + 3120*b226*b257 + 1920*b226*b258 + 2592*b226*b259 + 672*b226*
    b260 + 3408*b226*b261 + 3696*b226*b262 + 1728*b226*b263 + 2544*b226*b264 + 
    1776*b226*b265 + 1248*b226*b266 + 1738*b226*b267 + 12956*b226*b268 + 158*
    b226*b269 + 14220*b226*b271 + 10428*b226*b272 + 6478*b226*b273 + 2370*b226*
    b274 + 13114*b226*b275 + 15168*b226*b276 + 11692*b226*b277 + 7110*b226*b278
     + 10270*b226*b279 + 6320*b226*b280 + 8532*b226*b281 + 2212*b226*b282 + 
    11218*b226*b283 + 12166*b226*b284 + 5688*b226*b285 + 8374*b226*b286 + 5846*
    b226*b287 + 4108*b226*b288 + 1540*b226*b289 + 11480*b226*b290 + 140*b226*
    b291 + 12600*b226*b293 + 9240*b226*b294 + 5740*b226*b295 + 2100*b226*b296
     + 11620*b226*b297 + 13440*b226*b298 + 10360*b226*b299 + 6300*b226*b300 + 
    9100*b226*b301 + 5600*b226*b302 + 7560*b226*b303 + 1960*b226*b304 + 9940*
    b226*b305 + 10780*b226*b306 + 5040*b226*b307 + 7420*b226*b308 + 5180*b226*
    b309 + 3640*b226*b310 + 616*b226*b311 + 4592*b226*b312 + 56*b226*b313 + 
    5040*b226*b315 + 3696*b226*b316 + 2296*b226*b317 + 840*b226*b318 + 4648*
    b226*b319 + 5376*b226*b320 + 4144*b226*b321 + 2520*b226*b322 + 3640*b226*
    b323 + 2240*b226*b324 + 3024*b226*b325 + 784*b226*b326 + 3976*b226*b327 + 
    4312*b226*b328 + 2016*b226*b329 + 2968*b226*b330 + 2072*b226*b331 + 1456*
    b226*b332 + 418*b226*b333 + 3116*b226*b334 + 38*b226*b335 + 3420*b226*b337
     + 2508*b226*b338 + 1558*b226*b339 + 570*b226*b340 + 3154*b226*b341 + 3648*
    b226*b342 + 2812*b226*b343 + 1710*b226*b344 + 2470*b226*b345 + 1520*b226*
    b346 + 2052*b226*b347 + 532*b226*b348 + 2698*b226*b349 + 2926*b226*b350 + 
    1368*b226*b351 + 2014*b226*b352 + 1406*b226*b353 + 988*b226*b354 + 1914*
    b226*b355 + 14268*b226*b356 + 174*b226*b357 + 15660*b226*b359 + 11484*b226*
    b360 + 7134*b226*b361 + 2610*b226*b362 + 14442*b226*b363 + 16704*b226*b364
     + 12876*b226*b365 + 7830*b226*b366 + 11310*b226*b367 + 6960*b226*b368 + 
    9396*b226*b369 + 2436*b226*b370 + 12354*b226*b371 + 13398*b226*b372 + 6264*
    b226*b373 + 9222*b226*b374 + 6438*b226*b375 + 4524*b226*b376 + 1760*b226*
    b377 + 13120*b226*b378 + 160*b226*b379 + 14400*b226*b381 + 10560*b226*b382
     + 6560*b226*b383 + 2400*b226*b384 + 13280*b226*b385 + 15360*b226*b386 + 
    11840*b226*b387 + 7200*b226*b388 + 10400*b226*b389 + 6400*b226*b390 + 8640*
    b226*b391 + 2240*b226*b392 + 11360*b226*b393 + 12320*b226*b394 + 5760*b226*
    b395 + 8480*b226*b396 + 5920*b226*b397 + 4160*b226*b398 + 88*b226*b399 + 
    656*b226*b400 + 8*b226*b401 + 720*b226*b403 + 528*b226*b404 + 328*b226*b405
     + 120*b226*b406 + 664*b226*b407 + 768*b226*b408 + 592*b226*b409 + 360*b226
    *b410 + 520*b226*b411 + 320*b226*b412 + 432*b226*b413 + 112*b226*b414 + 568
    *b226*b415 + 616*b226*b416 + 288*b226*b417 + 424*b226*b418 + 296*b226*b419
     + 208*b226*b420 + 462*b226*b421 + 3444*b226*b422 + 42*b226*b423 + 3780*
    b226*b425 + 2772*b226*b426 + 1722*b226*b427 + 630*b226*b428 + 3486*b226*
    b429 + 4032*b226*b430 + 3108*b226*b431 + 1890*b226*b432 + 2730*b226*b433 + 
    1680*b226*b434 + 2268*b226*b435 + 588*b226*b436 + 2982*b226*b437 + 3234*
    b226*b438 + 1512*b226*b439 + 2226*b226*b440 + 1554*b226*b441 + 1092*b226*
    b442 + 748*b226*b443 + 5576*b226*b444 + 68*b226*b445 + 6120*b226*b447 + 
    4488*b226*b448 + 2788*b226*b449 + 1020*b226*b450 + 5644*b226*b451 + 6528*
    b226*b452 + 5032*b226*b453 + 3060*b226*b454 + 4420*b226*b455 + 2720*b226*
    b456 + 3672*b226*b457 + 952*b226*b458 + 4828*b226*b459 + 5236*b226*b460 + 
    2448*b226*b461 + 3604*b226*b462 + 2516*b226*b463 + 1768*b226*b464 + 264*
    b226*b465 + 1968*b226*b466 + 24*b226*b467 + 2160*b226*b469 + 1584*b226*b470
     + 984*b226*b471 + 360*b226*b472 + 1992*b226*b473 + 2304*b226*b474 + 1776*
    b226*b475 + 1080*b226*b476 + 1560*b226*b477 + 960*b226*b478 + 1296*b226*
    b479 + 336*b226*b480 + 1704*b226*b481 + 1848*b226*b482 + 864*b226*b483 + 
    1272*b226*b484 + 888*b226*b485 + 624*b226*b486 + 440*b226*b487 + 3280*b226*
    b488 + 40*b226*b489 + 3600*b226*b491 + 2640*b226*b492 + 1640*b226*b493 + 
    600*b226*b494 + 3320*b226*b495 + 3840*b226*b496 + 2960*b226*b497 + 1800*
    b226*b498 + 2600*b226*b499 + 1600*b226*b500 + 2160*b226*b501 + 560*b226*
    b502 + 2840*b226*b503 + 3080*b226*b504 + 1440*b226*b505 + 2120*b226*b506 + 
    1480*b226*b507 + 1040*b226*b508 + 1474*b226*b509 + 10988*b226*b510 + 134*
    b226*b511 + 12060*b226*b513 + 8844*b226*b514 + 5494*b226*b515 + 2010*b226*
    b516 + 11122*b226*b517 + 12864*b226*b518 + 9916*b226*b519 + 6030*b226*b520
     + 8710*b226*b521 + 5360*b226*b522 + 7236*b226*b523 + 1876*b226*b524 + 9514
    *b226*b525 + 10318*b226*b526 + 4824*b226*b527 + 7102*b226*b528 + 4958*b226*
    b529 + 3484*b226*b530 + 7392*b226*b531 + 10956*b226*b532 + 11484*b226*b533
     + 3024*b226*b534 + 4482*b226*b535 + 4698*b226*b536 + 5488*b226*b537 + 8134
    *b226*b538 + 8526*b226*b539 + 11088*b226*b540 + 16434*b226*b541 + 17226*
    b226*b542 + 10192*b226*b543 + 15106*b226*b544 + 15834*b226*b545 + 8064*b226
    *b546 + 11952*b226*b547 + 12528*b226*b548 + 3248*b226*b549 + 4814*b226*b550
     + 5046*b226*b551 + 9072*b226*b552 + 13446*b226*b553 + 14094*b226*b554 + 
    5152*b226*b555 + 7636*b226*b556 + 8004*b226*b557 + 2688*b226*b561 + 3984*
    b226*b562 + 4176*b226*b563 + 8848*b226*b564 + 13114*b226*b565 + 13746*b226*
    b566 + 7840*b226*b567 + 11620*b226*b568 + 12180*b226*b569 + 3136*b226*b570
     + 4648*b226*b571 + 4872*b226*b572 + 2128*b226*b573 + 3154*b226*b574 + 3306
    *b226*b575 + 9744*b226*b576 + 14442*b226*b577 + 15138*b226*b578 + 8960*b226
    *b579 + 13280*b226*b580 + 13920*b226*b581 + 448*b226*b582 + 664*b226*b583
     + 696*b226*b584 + 2352*b226*b585 + 3486*b226*b586 + 3654*b226*b587 + 3808*
    b226*b588 + 5644*b226*b589 + 5916*b226*b590 + 1344*b226*b591 + 1992*b226*
    b592 + 2088*b226*b593 + 2240*b226*b594 + 3320*b226*b595 + 3480*b226*b596 + 
    7504*b226*b597 + 11122*b226*b598 + 11658*b226*b599 + 11644*b226*b600 + 142*
    b226*b601 + 12780*b226*b603 + 9372*b226*b604 + 5822*b226*b605 + 2130*b226*
    b606 + 11786*b226*b607 + 13632*b226*b608 + 10508*b226*b609 + 6390*b226*b610
     + 9230*b226*b611 + 5680*b226*b612 + 7668*b226*b613 + 11786*b226*b614 + 
    1988*b226*b615 + 10082*b226*b616 + 10934*b226*b617 + 5112*b226*b618 + 7526*
    b226*b619 + 5254*b226*b620 + 3692*b226*b621 + 12354*b226*b622 + 1562*b226*
    b623 + 4144*b226*b624 + 6142*b226*b625 + 6438*b226*b626 + 1680*b227*b245 + 
    3936*b227*b246 + 720*b227*b247 + 4320*b227*b248 + 3648*b227*b250 + 4368*
    b227*b251 + 624*b227*b252 + 1392*b227*b253 + 528*b227*b254 + 3696*b227*b255
     + 1536*b227*b256 + 4176*b227*b257 + 3216*b227*b258 + 4512*b227*b259 + 96*
    b227*b260 + 480*b227*b261 + 4752*b227*b262 + 2688*b227*b263 + 3360*b227*
    b264 + 4752*b227*b265 + 2880*b227*b266 + 5530*b227*b267 + 12956*b227*b268
     + 2370*b227*b269 + 14220*b227*b270 + 12008*b227*b272 + 14378*b227*b273 + 
    2054*b227*b274 + 4582*b227*b275 + 1738*b227*b276 + 12166*b227*b277 + 5056*
    b227*b278 + 13746*b227*b279 + 10586*b227*b280 + 14852*b227*b281 + 316*b227*
    b282 + 1580*b227*b283 + 15642*b227*b284 + 8848*b227*b285 + 11060*b227*b286
     + 15642*b227*b287 + 9480*b227*b288 + 4900*b227*b289 + 11480*b227*b290 + 
    2100*b227*b291 + 12600*b227*b292 + 10640*b227*b294 + 12740*b227*b295 + 1820
    *b227*b296 + 4060*b227*b297 + 1540*b227*b298 + 10780*b227*b299 + 4480*b227*
    b300 + 12180*b227*b301 + 9380*b227*b302 + 13160*b227*b303 + 280*b227*b304
     + 1400*b227*b305 + 13860*b227*b306 + 7840*b227*b307 + 9800*b227*b308 + 
    13860*b227*b309 + 8400*b227*b310 + 1960*b227*b311 + 4592*b227*b312 + 840*
    b227*b313 + 5040*b227*b314 + 4256*b227*b316 + 5096*b227*b317 + 728*b227*
    b318 + 1624*b227*b319 + 616*b227*b320 + 4312*b227*b321 + 1792*b227*b322 + 
    4872*b227*b323 + 3752*b227*b324 + 5264*b227*b325 + 112*b227*b326 + 560*b227
    *b327 + 5544*b227*b328 + 3136*b227*b329 + 3920*b227*b330 + 5544*b227*b331
     + 3360*b227*b332 + 1330*b227*b333 + 3116*b227*b334 + 570*b227*b335 + 3420*
    b227*b336 + 2888*b227*b338 + 3458*b227*b339 + 494*b227*b340 + 1102*b227*
    b341 + 418*b227*b342 + 2926*b227*b343 + 1216*b227*b344 + 3306*b227*b345 + 
    2546*b227*b346 + 3572*b227*b347 + 76*b227*b348 + 380*b227*b349 + 3762*b227*
    b350 + 2128*b227*b351 + 2660*b227*b352 + 3762*b227*b353 + 2280*b227*b354 + 
    6090*b227*b355 + 14268*b227*b356 + 2610*b227*b357 + 15660*b227*b358 + 13224
    *b227*b360 + 15834*b227*b361 + 2262*b227*b362 + 5046*b227*b363 + 1914*b227*
    b364 + 13398*b227*b365 + 5568*b227*b366 + 15138*b227*b367 + 11658*b227*b368
     + 16356*b227*b369 + 348*b227*b370 + 1740*b227*b371 + 17226*b227*b372 + 
    9744*b227*b373 + 12180*b227*b374 + 17226*b227*b375 + 10440*b227*b376 + 5600
    *b227*b377 + 13120*b227*b378 + 2400*b227*b379 + 14400*b227*b380 + 12160*
    b227*b382 + 14560*b227*b383 + 2080*b227*b384 + 4640*b227*b385 + 1760*b227*
    b386 + 12320*b227*b387 + 5120*b227*b388 + 13920*b227*b389 + 10720*b227*b390
     + 15040*b227*b391 + 320*b227*b392 + 1600*b227*b393 + 15840*b227*b394 + 
    8960*b227*b395 + 11200*b227*b396 + 15840*b227*b397 + 9600*b227*b398 + 280*
    b227*b399 + 656*b227*b400 + 120*b227*b401 + 720*b227*b402 + 608*b227*b404
     + 728*b227*b405 + 104*b227*b406 + 232*b227*b407 + 88*b227*b408 + 616*b227*
    b409 + 256*b227*b410 + 696*b227*b411 + 536*b227*b412 + 752*b227*b413 + 16*
    b227*b414 + 80*b227*b415 + 792*b227*b416 + 448*b227*b417 + 560*b227*b418 + 
    792*b227*b419 + 480*b227*b420 + 1470*b227*b421 + 3444*b227*b422 + 630*b227*
    b423 + 3780*b227*b424 + 3192*b227*b426 + 3822*b227*b427 + 546*b227*b428 + 
    1218*b227*b429 + 462*b227*b430 + 3234*b227*b431 + 1344*b227*b432 + 3654*
    b227*b433 + 2814*b227*b434 + 3948*b227*b435 + 84*b227*b436 + 420*b227*b437
     + 4158*b227*b438 + 2352*b227*b439 + 2940*b227*b440 + 4158*b227*b441 + 2520
    *b227*b442 + 2380*b227*b443 + 5576*b227*b444 + 1020*b227*b445 + 6120*b227*
    b446 + 5168*b227*b448 + 6188*b227*b449 + 884*b227*b450 + 1972*b227*b451 + 
    748*b227*b452 + 5236*b227*b453 + 2176*b227*b454 + 5916*b227*b455 + 4556*
    b227*b456 + 6392*b227*b457 + 136*b227*b458 + 680*b227*b459 + 6732*b227*b460
     + 3808*b227*b461 + 4760*b227*b462 + 6732*b227*b463 + 4080*b227*b464 + 840*
    b227*b465 + 1968*b227*b466 + 360*b227*b467 + 2160*b227*b468 + 1824*b227*
    b470 + 2184*b227*b471 + 312*b227*b472 + 696*b227*b473 + 264*b227*b474 + 
    1848*b227*b475 + 768*b227*b476 + 2088*b227*b477 + 1608*b227*b478 + 2256*
    b227*b479 + 48*b227*b480 + 240*b227*b481 + 2376*b227*b482 + 1344*b227*b483
     + 1680*b227*b484 + 2376*b227*b485 + 1440*b227*b486 + 1400*b227*b487 + 3280
    *b227*b488 + 600*b227*b489 + 3600*b227*b490 + 3040*b227*b492 + 3640*b227*
    b493 + 520*b227*b494 + 1160*b227*b495 + 440*b227*b496 + 3080*b227*b497 + 
    1280*b227*b498 + 3480*b227*b499 + 2680*b227*b500 + 3760*b227*b501 + 80*b227
    *b502 + 400*b227*b503 + 3960*b227*b504 + 2240*b227*b505 + 2800*b227*b506 + 
    3960*b227*b507 + 2400*b227*b508 + 4690*b227*b509 + 10988*b227*b510 + 2010*
    b227*b511 + 12060*b227*b512 + 10184*b227*b514 + 12194*b227*b515 + 1742*b227
    *b516 + 3886*b227*b517 + 1474*b227*b518 + 10318*b227*b519 + 4288*b227*b520
     + 11658*b227*b521 + 8978*b227*b522 + 12596*b227*b523 + 268*b227*b524 + 
    1340*b227*b525 + 13266*b227*b526 + 7504*b227*b527 + 9380*b227*b528 + 13266*
    b227*b529 + 8040*b227*b530 + 5412*b227*b531 + 10428*b227*b532 + 528*b227*
    b533 + 2214*b227*b534 + 4266*b227*b535 + 216*b227*b536 + 4018*b227*b537 + 
    7742*b227*b538 + 392*b227*b539 + 8118*b227*b540 + 15642*b227*b541 + 792*
    b227*b542 + 7462*b227*b543 + 14378*b227*b544 + 728*b227*b545 + 5904*b227*
    b546 + 11376*b227*b547 + 576*b227*b548 + 2378*b227*b549 + 4582*b227*b550 + 
    232*b227*b551 + 6642*b227*b552 + 12798*b227*b553 + 648*b227*b554 + 3772*
    b227*b555 + 7268*b227*b556 + 368*b227*b557 + 1968*b227*b561 + 3792*b227*
    b562 + 192*b227*b563 + 6478*b227*b564 + 12482*b227*b565 + 632*b227*b566 + 
    5740*b227*b567 + 11060*b227*b568 + 560*b227*b569 + 2296*b227*b570 + 4424*
    b227*b571 + 224*b227*b572 + 1558*b227*b573 + 3002*b227*b574 + 152*b227*b575
     + 7134*b227*b576 + 13746*b227*b577 + 696*b227*b578 + 6560*b227*b579 + 
    12640*b227*b580 + 640*b227*b581 + 328*b227*b582 + 632*b227*b583 + 32*b227*
    b584 + 1722*b227*b585 + 3318*b227*b586 + 168*b227*b587 + 2788*b227*b588 + 
    5372*b227*b589 + 272*b227*b590 + 984*b227*b591 + 1896*b227*b592 + 96*b227*
    b593 + 1640*b227*b594 + 3160*b227*b595 + 160*b227*b596 + 5494*b227*b597 + 
    10586*b227*b598 + 536*b227*b599 + 11644*b227*b600 + 2130*b227*b601 + 12780*
    b227*b602 + 10792*b227*b604 + 12922*b227*b605 + 1846*b227*b606 + 4118*b227*
    b607 + 1562*b227*b608 + 10934*b227*b609 + 4544*b227*b610 + 12354*b227*b611
     + 9514*b227*b612 + 13348*b227*b613 + 11218*b227*b614 + 284*b227*b615 + 
    1420*b227*b616 + 14058*b227*b617 + 7952*b227*b618 + 9940*b227*b619 + 14058*
    b227*b620 + 8520*b227*b621 + 568*b227*b622 + 4970*b227*b623 + 3034*b227*
    b624 + 5846*b227*b625 + 296*b227*b626 + 3936*b228*b245 + 288*b228*b246 + 
    528*b228*b247 + 3168*b228*b248 + 3648*b228*b249 + 2688*b228*b251 + 96*b228*
    b252 + 2880*b228*b253 + 3456*b228*b254 + 3552*b228*b255 + 2208*b228*b256 + 
    624*b228*b257 + 960*b228*b258 + 4128*b228*b259 + 3696*b228*b260 + 720*b228*
    b261 + 4272*b228*b262 + 2304*b228*b263 + 672*b228*b264 + 4272*b228*b265 + 
    2112*b228*b266 + 12956*b228*b267 + 948*b228*b268 + 1738*b228*b269 + 10428*
    b228*b270 + 12008*b228*b271 + 8848*b228*b273 + 316*b228*b274 + 9480*b228*
    b275 + 11376*b228*b276 + 11692*b228*b277 + 7268*b228*b278 + 2054*b228*b279
     + 3160*b228*b280 + 13588*b228*b281 + 12166*b228*b282 + 2370*b228*b283 + 
    14062*b228*b284 + 7584*b228*b285 + 2212*b228*b286 + 14062*b228*b287 + 6952*
    b228*b288 + 11480*b228*b289 + 840*b228*b290 + 1540*b228*b291 + 9240*b228*
    b292 + 10640*b228*b293 + 7840*b228*b295 + 280*b228*b296 + 8400*b228*b297 + 
    10080*b228*b298 + 10360*b228*b299 + 6440*b228*b300 + 1820*b228*b301 + 2800*
    b228*b302 + 12040*b228*b303 + 10780*b228*b304 + 2100*b228*b305 + 12460*b228
    *b306 + 6720*b228*b307 + 1960*b228*b308 + 12460*b228*b309 + 6160*b228*b310
     + 4592*b228*b311 + 336*b228*b312 + 616*b228*b313 + 3696*b228*b314 + 4256*
    b228*b315 + 3136*b228*b317 + 112*b228*b318 + 3360*b228*b319 + 4032*b228*
    b320 + 4144*b228*b321 + 2576*b228*b322 + 728*b228*b323 + 1120*b228*b324 + 
    4816*b228*b325 + 4312*b228*b326 + 840*b228*b327 + 4984*b228*b328 + 2688*
    b228*b329 + 784*b228*b330 + 4984*b228*b331 + 2464*b228*b332 + 3116*b228*
    b333 + 228*b228*b334 + 418*b228*b335 + 2508*b228*b336 + 2888*b228*b337 + 
    2128*b228*b339 + 76*b228*b340 + 2280*b228*b341 + 2736*b228*b342 + 2812*b228
    *b343 + 1748*b228*b344 + 494*b228*b345 + 760*b228*b346 + 3268*b228*b347 + 
    2926*b228*b348 + 570*b228*b349 + 3382*b228*b350 + 1824*b228*b351 + 532*b228
    *b352 + 3382*b228*b353 + 1672*b228*b354 + 14268*b228*b355 + 1044*b228*b356
     + 1914*b228*b357 + 11484*b228*b358 + 13224*b228*b359 + 9744*b228*b361 + 
    348*b228*b362 + 10440*b228*b363 + 12528*b228*b364 + 12876*b228*b365 + 8004*
    b228*b366 + 2262*b228*b367 + 3480*b228*b368 + 14964*b228*b369 + 13398*b228*
    b370 + 2610*b228*b371 + 15486*b228*b372 + 8352*b228*b373 + 2436*b228*b374
     + 15486*b228*b375 + 7656*b228*b376 + 13120*b228*b377 + 960*b228*b378 + 
    1760*b228*b379 + 10560*b228*b380 + 12160*b228*b381 + 8960*b228*b383 + 320*
    b228*b384 + 9600*b228*b385 + 11520*b228*b386 + 11840*b228*b387 + 7360*b228*
    b388 + 2080*b228*b389 + 3200*b228*b390 + 13760*b228*b391 + 12320*b228*b392
     + 2400*b228*b393 + 14240*b228*b394 + 7680*b228*b395 + 2240*b228*b396 + 
    14240*b228*b397 + 7040*b228*b398 + 656*b228*b399 + 48*b228*b400 + 88*b228*
    b401 + 528*b228*b402 + 608*b228*b403 + 448*b228*b405 + 16*b228*b406 + 480*
    b228*b407 + 576*b228*b408 + 592*b228*b409 + 368*b228*b410 + 104*b228*b411
     + 160*b228*b412 + 688*b228*b413 + 616*b228*b414 + 120*b228*b415 + 712*b228
    *b416 + 384*b228*b417 + 112*b228*b418 + 712*b228*b419 + 352*b228*b420 + 
    3444*b228*b421 + 252*b228*b422 + 462*b228*b423 + 2772*b228*b424 + 3192*b228
    *b425 + 2352*b228*b427 + 84*b228*b428 + 2520*b228*b429 + 3024*b228*b430 + 
    3108*b228*b431 + 1932*b228*b432 + 546*b228*b433 + 840*b228*b434 + 3612*b228
    *b435 + 3234*b228*b436 + 630*b228*b437 + 3738*b228*b438 + 2016*b228*b439 + 
    588*b228*b440 + 3738*b228*b441 + 1848*b228*b442 + 5576*b228*b443 + 408*b228
    *b444 + 748*b228*b445 + 4488*b228*b446 + 5168*b228*b447 + 3808*b228*b449 + 
    136*b228*b450 + 4080*b228*b451 + 4896*b228*b452 + 5032*b228*b453 + 3128*
    b228*b454 + 884*b228*b455 + 1360*b228*b456 + 5848*b228*b457 + 5236*b228*
    b458 + 1020*b228*b459 + 6052*b228*b460 + 3264*b228*b461 + 952*b228*b462 + 
    6052*b228*b463 + 2992*b228*b464 + 1968*b228*b465 + 144*b228*b466 + 264*b228
    *b467 + 1584*b228*b468 + 1824*b228*b469 + 1344*b228*b471 + 48*b228*b472 + 
    1440*b228*b473 + 1728*b228*b474 + 1776*b228*b475 + 1104*b228*b476 + 312*
    b228*b477 + 480*b228*b478 + 2064*b228*b479 + 1848*b228*b480 + 360*b228*b481
     + 2136*b228*b482 + 1152*b228*b483 + 336*b228*b484 + 2136*b228*b485 + 1056*
    b228*b486 + 3280*b228*b487 + 240*b228*b488 + 440*b228*b489 + 2640*b228*b490
     + 3040*b228*b491 + 2240*b228*b493 + 80*b228*b494 + 2400*b228*b495 + 2880*
    b228*b496 + 2960*b228*b497 + 1840*b228*b498 + 520*b228*b499 + 800*b228*b500
     + 3440*b228*b501 + 3080*b228*b502 + 600*b228*b503 + 3560*b228*b504 + 1920*
    b228*b505 + 560*b228*b506 + 3560*b228*b507 + 1760*b228*b508 + 10988*b228*
    b509 + 804*b228*b510 + 1474*b228*b511 + 8844*b228*b512 + 10184*b228*b513 + 
    7504*b228*b515 + 268*b228*b516 + 8040*b228*b517 + 9648*b228*b518 + 9916*
    b228*b519 + 6164*b228*b520 + 1742*b228*b521 + 2680*b228*b522 + 11524*b228*
    b523 + 10318*b228*b524 + 2010*b228*b525 + 11926*b228*b526 + 6432*b228*b527
     + 1876*b228*b528 + 11926*b228*b529 + 5896*b228*b530 + 792*b228*b531 + 528*
    b228*b532 + 7788*b228*b533 + 324*b228*b534 + 216*b228*b535 + 3186*b228*b536
     + 588*b228*b537 + 392*b228*b538 + 5782*b228*b539 + 1188*b228*b540 + 792*
    b228*b541 + 11682*b228*b542 + 1092*b228*b543 + 728*b228*b544 + 10738*b228*
    b545 + 864*b228*b546 + 576*b228*b547 + 8496*b228*b548 + 348*b228*b549 + 232
    *b228*b550 + 3422*b228*b551 + 972*b228*b552 + 648*b228*b553 + 9558*b228*
    b554 + 552*b228*b555 + 368*b228*b556 + 5428*b228*b557 + 288*b228*b561 + 192
    *b228*b562 + 2832*b228*b563 + 948*b228*b564 + 632*b228*b565 + 9322*b228*
    b566 + 840*b228*b567 + 560*b228*b568 + 8260*b228*b569 + 336*b228*b570 + 224
    *b228*b571 + 3304*b228*b572 + 228*b228*b573 + 152*b228*b574 + 2242*b228*
    b575 + 1044*b228*b576 + 696*b228*b577 + 10266*b228*b578 + 960*b228*b579 + 
    640*b228*b580 + 9440*b228*b581 + 48*b228*b582 + 32*b228*b583 + 472*b228*
    b584 + 252*b228*b585 + 168*b228*b586 + 2478*b228*b587 + 408*b228*b588 + 272
    *b228*b589 + 4012*b228*b590 + 144*b228*b591 + 96*b228*b592 + 1416*b228*b593
     + 240*b228*b594 + 160*b228*b595 + 2360*b228*b596 + 804*b228*b597 + 536*
    b228*b598 + 7906*b228*b599 + 852*b228*b600 + 1562*b228*b601 + 9372*b228*
    b602 + 10792*b228*b603 + 7952*b228*b605 + 284*b228*b606 + 8520*b228*b607 + 
    10224*b228*b608 + 10508*b228*b609 + 6532*b228*b610 + 1846*b228*b611 + 2840*
    b228*b612 + 12212*b228*b613 + 568*b228*b614 + 10934*b228*b615 + 2130*b228*
    b616 + 12638*b228*b617 + 6816*b228*b618 + 1988*b228*b619 + 12638*b228*b620
     + 6248*b228*b621 + 8378*b228*b622 + 11644*b228*b623 + 444*b228*b624 + 296*
    b228*b625 + 4366*b228*b626 + 1248*b229*b245 + 3408*b229*b246 + 1680*b229*
    b247 + 1968*b229*b248 + 4368*b229*b249 + 2688*b229*b250 + 1056*b229*b252 + 
    2736*b229*b253 + 3024*b229*b254 + 288*b229*b255 + 2976*b229*b257 + 1968*
    b229*b258 + 2976*b229*b259 + 1200*b229*b260 + 3600*b229*b261 + 3648*b229*
    b262 + 1920*b229*b263 + 3168*b229*b264 + 2784*b229*b265 + 1440*b229*b266 + 
    4108*b229*b267 + 11218*b229*b268 + 5530*b229*b269 + 6478*b229*b270 + 14378*
    b229*b271 + 8848*b229*b272 + 3476*b229*b274 + 9006*b229*b275 + 9954*b229*
    b276 + 948*b229*b277 + 9796*b229*b279 + 6478*b229*b280 + 9796*b229*b281 + 
    3950*b229*b282 + 11850*b229*b283 + 12008*b229*b284 + 6320*b229*b285 + 10428
    *b229*b286 + 9164*b229*b287 + 4740*b229*b288 + 3640*b229*b289 + 9940*b229*
    b290 + 4900*b229*b291 + 5740*b229*b292 + 12740*b229*b293 + 7840*b229*b294
     + 3080*b229*b296 + 7980*b229*b297 + 8820*b229*b298 + 840*b229*b299 + 8680*
    b229*b301 + 5740*b229*b302 + 8680*b229*b303 + 3500*b229*b304 + 10500*b229*
    b305 + 10640*b229*b306 + 5600*b229*b307 + 9240*b229*b308 + 8120*b229*b309
     + 4200*b229*b310 + 1456*b229*b311 + 3976*b229*b312 + 1960*b229*b313 + 2296
    *b229*b314 + 5096*b229*b315 + 3136*b229*b316 + 1232*b229*b318 + 3192*b229*
    b319 + 3528*b229*b320 + 336*b229*b321 + 3472*b229*b323 + 2296*b229*b324 + 
    3472*b229*b325 + 1400*b229*b326 + 4200*b229*b327 + 4256*b229*b328 + 2240*
    b229*b329 + 3696*b229*b330 + 3248*b229*b331 + 1680*b229*b332 + 988*b229*
    b333 + 2698*b229*b334 + 1330*b229*b335 + 1558*b229*b336 + 3458*b229*b337 + 
    2128*b229*b338 + 836*b229*b340 + 2166*b229*b341 + 2394*b229*b342 + 228*b229
    *b343 + 2356*b229*b345 + 1558*b229*b346 + 2356*b229*b347 + 950*b229*b348 + 
    2850*b229*b349 + 2888*b229*b350 + 1520*b229*b351 + 2508*b229*b352 + 2204*
    b229*b353 + 1140*b229*b354 + 4524*b229*b355 + 12354*b229*b356 + 6090*b229*
    b357 + 7134*b229*b358 + 15834*b229*b359 + 9744*b229*b360 + 3828*b229*b362
     + 9918*b229*b363 + 10962*b229*b364 + 1044*b229*b365 + 10788*b229*b367 + 
    7134*b229*b368 + 10788*b229*b369 + 4350*b229*b370 + 13050*b229*b371 + 13224
    *b229*b372 + 6960*b229*b373 + 11484*b229*b374 + 10092*b229*b375 + 5220*b229
    *b376 + 4160*b229*b377 + 11360*b229*b378 + 5600*b229*b379 + 6560*b229*b380
     + 14560*b229*b381 + 8960*b229*b382 + 3520*b229*b384 + 9120*b229*b385 + 
    10080*b229*b386 + 960*b229*b387 + 9920*b229*b389 + 6560*b229*b390 + 9920*
    b229*b391 + 4000*b229*b392 + 12000*b229*b393 + 12160*b229*b394 + 6400*b229*
    b395 + 10560*b229*b396 + 9280*b229*b397 + 4800*b229*b398 + 208*b229*b399 + 
    568*b229*b400 + 280*b229*b401 + 328*b229*b402 + 728*b229*b403 + 448*b229*
    b404 + 176*b229*b406 + 456*b229*b407 + 504*b229*b408 + 48*b229*b409 + 496*
    b229*b411 + 328*b229*b412 + 496*b229*b413 + 200*b229*b414 + 600*b229*b415
     + 608*b229*b416 + 320*b229*b417 + 528*b229*b418 + 464*b229*b419 + 240*b229
    *b420 + 1092*b229*b421 + 2982*b229*b422 + 1470*b229*b423 + 1722*b229*b424
     + 3822*b229*b425 + 2352*b229*b426 + 924*b229*b428 + 2394*b229*b429 + 2646*
    b229*b430 + 252*b229*b431 + 2604*b229*b433 + 1722*b229*b434 + 2604*b229*
    b435 + 1050*b229*b436 + 3150*b229*b437 + 3192*b229*b438 + 1680*b229*b439 + 
    2772*b229*b440 + 2436*b229*b441 + 1260*b229*b442 + 1768*b229*b443 + 4828*
    b229*b444 + 2380*b229*b445 + 2788*b229*b446 + 6188*b229*b447 + 3808*b229*
    b448 + 1496*b229*b450 + 3876*b229*b451 + 4284*b229*b452 + 408*b229*b453 + 
    4216*b229*b455 + 2788*b229*b456 + 4216*b229*b457 + 1700*b229*b458 + 5100*
    b229*b459 + 5168*b229*b460 + 2720*b229*b461 + 4488*b229*b462 + 3944*b229*
    b463 + 2040*b229*b464 + 624*b229*b465 + 1704*b229*b466 + 840*b229*b467 + 
    984*b229*b468 + 2184*b229*b469 + 1344*b229*b470 + 528*b229*b472 + 1368*b229
    *b473 + 1512*b229*b474 + 144*b229*b475 + 1488*b229*b477 + 984*b229*b478 + 
    1488*b229*b479 + 600*b229*b480 + 1800*b229*b481 + 1824*b229*b482 + 960*b229
    *b483 + 1584*b229*b484 + 1392*b229*b485 + 720*b229*b486 + 1040*b229*b487 + 
    2840*b229*b488 + 1400*b229*b489 + 1640*b229*b490 + 3640*b229*b491 + 2240*
    b229*b492 + 880*b229*b494 + 2280*b229*b495 + 2520*b229*b496 + 240*b229*b497
     + 2480*b229*b499 + 1640*b229*b500 + 2480*b229*b501 + 1000*b229*b502 + 3000
    *b229*b503 + 3040*b229*b504 + 1600*b229*b505 + 2640*b229*b506 + 2320*b229*
    b507 + 1200*b229*b508 + 3484*b229*b509 + 9514*b229*b510 + 4690*b229*b511 + 
    5494*b229*b512 + 12194*b229*b513 + 7504*b229*b514 + 2948*b229*b516 + 7638*
    b229*b517 + 8442*b229*b518 + 804*b229*b519 + 8308*b229*b521 + 5494*b229*
    b522 + 8308*b229*b523 + 3350*b229*b524 + 10050*b229*b525 + 10184*b229*b526
     + 5360*b229*b527 + 8844*b229*b528 + 7772*b229*b529 + 4020*b229*b530 + 3300
    *b229*b531 + 6072*b229*b532 + 8976*b229*b533 + 1350*b229*b534 + 2484*b229*
    b535 + 3672*b229*b536 + 2450*b229*b537 + 4508*b229*b538 + 6664*b229*b539 + 
    4950*b229*b540 + 9108*b229*b541 + 13464*b229*b542 + 4550*b229*b543 + 8372*
    b229*b544 + 12376*b229*b545 + 3600*b229*b546 + 6624*b229*b547 + 9792*b229*
    b548 + 1450*b229*b549 + 2668*b229*b550 + 3944*b229*b551 + 4050*b229*b552 + 
    7452*b229*b553 + 11016*b229*b554 + 2300*b229*b555 + 4232*b229*b556 + 6256*
    b229*b557 + 1200*b229*b561 + 2208*b229*b562 + 3264*b229*b563 + 3950*b229*
    b564 + 7268*b229*b565 + 10744*b229*b566 + 3500*b229*b567 + 6440*b229*b568
     + 9520*b229*b569 + 1400*b229*b570 + 2576*b229*b571 + 3808*b229*b572 + 950*
    b229*b573 + 1748*b229*b574 + 2584*b229*b575 + 4350*b229*b576 + 8004*b229*
    b577 + 11832*b229*b578 + 4000*b229*b579 + 7360*b229*b580 + 10880*b229*b581
     + 200*b229*b582 + 368*b229*b583 + 544*b229*b584 + 1050*b229*b585 + 1932*
    b229*b586 + 2856*b229*b587 + 1700*b229*b588 + 3128*b229*b589 + 4624*b229*
    b590 + 600*b229*b591 + 1104*b229*b592 + 1632*b229*b593 + 1000*b229*b594 + 
    1840*b229*b595 + 2720*b229*b596 + 3350*b229*b597 + 6164*b229*b598 + 9112*
    b229*b599 + 10082*b229*b600 + 4970*b229*b601 + 5822*b229*b602 + 12922*b229*
    b603 + 7952*b229*b604 + 3124*b229*b606 + 8094*b229*b607 + 8946*b229*b608 + 
    852*b229*b609 + 8804*b229*b611 + 5822*b229*b612 + 8804*b229*b613 + 6532*
    b229*b614 + 3550*b229*b615 + 10650*b229*b616 + 10792*b229*b617 + 5680*b229*
    b618 + 9372*b229*b619 + 8236*b229*b620 + 4260*b229*b621 + 9656*b229*b622 + 
    3692*b229*b623 + 1850*b229*b624 + 3404*b229*b625 + 5032*b229*b626 + 3312*
    b230*b245 + 384*b230*b246 + 528*b230*b247 + 720*b230*b248 + 624*b230*b249
     + 96*b230*b250 + 1056*b230*b251 + 3744*b230*b253 + 4368*b230*b254 + 624*
    b230*b255 + 2832*b230*b256 + 2352*b230*b257 + 4080*b230*b258 + 4032*b230*
    b259 + 1824*b230*b260 + 1968*b230*b261 + 2688*b230*b262 + 1872*b230*b263 + 
    2544*b230*b264 + 3696*b230*b265 + 2400*b230*b266 + 10902*b230*b267 + 1264*
    b230*b268 + 1738*b230*b269 + 2370*b230*b270 + 2054*b230*b271 + 316*b230*
    b272 + 3476*b230*b273 + 12324*b230*b275 + 14378*b230*b276 + 2054*b230*b277
     + 9322*b230*b278 + 7742*b230*b279 + 13430*b230*b280 + 13272*b230*b281 + 
    6004*b230*b282 + 6478*b230*b283 + 8848*b230*b284 + 6162*b230*b285 + 8374*
    b230*b286 + 12166*b230*b287 + 7900*b230*b288 + 9660*b230*b289 + 1120*b230*
    b290 + 1540*b230*b291 + 2100*b230*b292 + 1820*b230*b293 + 280*b230*b294 + 
    3080*b230*b295 + 10920*b230*b297 + 12740*b230*b298 + 1820*b230*b299 + 8260*
    b230*b300 + 6860*b230*b301 + 11900*b230*b302 + 11760*b230*b303 + 5320*b230*
    b304 + 5740*b230*b305 + 7840*b230*b306 + 5460*b230*b307 + 7420*b230*b308 + 
    10780*b230*b309 + 7000*b230*b310 + 3864*b230*b311 + 448*b230*b312 + 616*
    b230*b313 + 840*b230*b314 + 728*b230*b315 + 112*b230*b316 + 1232*b230*b317
     + 4368*b230*b319 + 5096*b230*b320 + 728*b230*b321 + 3304*b230*b322 + 2744*
    b230*b323 + 4760*b230*b324 + 4704*b230*b325 + 2128*b230*b326 + 2296*b230*
    b327 + 3136*b230*b328 + 2184*b230*b329 + 2968*b230*b330 + 4312*b230*b331 + 
    2800*b230*b332 + 2622*b230*b333 + 304*b230*b334 + 418*b230*b335 + 570*b230*
    b336 + 494*b230*b337 + 76*b230*b338 + 836*b230*b339 + 2964*b230*b341 + 3458
    *b230*b342 + 494*b230*b343 + 2242*b230*b344 + 1862*b230*b345 + 3230*b230*
    b346 + 3192*b230*b347 + 1444*b230*b348 + 1558*b230*b349 + 2128*b230*b350 + 
    1482*b230*b351 + 2014*b230*b352 + 2926*b230*b353 + 1900*b230*b354 + 12006*
    b230*b355 + 1392*b230*b356 + 1914*b230*b357 + 2610*b230*b358 + 2262*b230*
    b359 + 348*b230*b360 + 3828*b230*b361 + 13572*b230*b363 + 15834*b230*b364
     + 2262*b230*b365 + 10266*b230*b366 + 8526*b230*b367 + 14790*b230*b368 + 
    14616*b230*b369 + 6612*b230*b370 + 7134*b230*b371 + 9744*b230*b372 + 6786*
    b230*b373 + 9222*b230*b374 + 13398*b230*b375 + 8700*b230*b376 + 11040*b230*
    b377 + 1280*b230*b378 + 1760*b230*b379 + 2400*b230*b380 + 2080*b230*b381 + 
    320*b230*b382 + 3520*b230*b383 + 12480*b230*b385 + 14560*b230*b386 + 2080*
    b230*b387 + 9440*b230*b388 + 7840*b230*b389 + 13600*b230*b390 + 13440*b230*
    b391 + 6080*b230*b392 + 6560*b230*b393 + 8960*b230*b394 + 6240*b230*b395 + 
    8480*b230*b396 + 12320*b230*b397 + 8000*b230*b398 + 552*b230*b399 + 64*b230
    *b400 + 88*b230*b401 + 120*b230*b402 + 104*b230*b403 + 16*b230*b404 + 176*
    b230*b405 + 624*b230*b407 + 728*b230*b408 + 104*b230*b409 + 472*b230*b410
     + 392*b230*b411 + 680*b230*b412 + 672*b230*b413 + 304*b230*b414 + 328*b230
    *b415 + 448*b230*b416 + 312*b230*b417 + 424*b230*b418 + 616*b230*b419 + 400
    *b230*b420 + 2898*b230*b421 + 336*b230*b422 + 462*b230*b423 + 630*b230*b424
     + 546*b230*b425 + 84*b230*b426 + 924*b230*b427 + 3276*b230*b429 + 3822*
    b230*b430 + 546*b230*b431 + 2478*b230*b432 + 2058*b230*b433 + 3570*b230*
    b434 + 3528*b230*b435 + 1596*b230*b436 + 1722*b230*b437 + 2352*b230*b438 + 
    1638*b230*b439 + 2226*b230*b440 + 3234*b230*b441 + 2100*b230*b442 + 4692*
    b230*b443 + 544*b230*b444 + 748*b230*b445 + 1020*b230*b446 + 884*b230*b447
     + 136*b230*b448 + 1496*b230*b449 + 5304*b230*b451 + 6188*b230*b452 + 884*
    b230*b453 + 4012*b230*b454 + 3332*b230*b455 + 5780*b230*b456 + 5712*b230*
    b457 + 2584*b230*b458 + 2788*b230*b459 + 3808*b230*b460 + 2652*b230*b461 + 
    3604*b230*b462 + 5236*b230*b463 + 3400*b230*b464 + 1656*b230*b465 + 192*
    b230*b466 + 264*b230*b467 + 360*b230*b468 + 312*b230*b469 + 48*b230*b470 + 
    528*b230*b471 + 1872*b230*b473 + 2184*b230*b474 + 312*b230*b475 + 1416*b230
    *b476 + 1176*b230*b477 + 2040*b230*b478 + 2016*b230*b479 + 912*b230*b480 + 
    984*b230*b481 + 1344*b230*b482 + 936*b230*b483 + 1272*b230*b484 + 1848*b230
    *b485 + 1200*b230*b486 + 2760*b230*b487 + 320*b230*b488 + 440*b230*b489 + 
    600*b230*b490 + 520*b230*b491 + 80*b230*b492 + 880*b230*b493 + 3120*b230*
    b495 + 3640*b230*b496 + 520*b230*b497 + 2360*b230*b498 + 1960*b230*b499 + 
    3400*b230*b500 + 3360*b230*b501 + 1520*b230*b502 + 1640*b230*b503 + 2240*
    b230*b504 + 1560*b230*b505 + 2120*b230*b506 + 3080*b230*b507 + 2000*b230*
    b508 + 9246*b230*b509 + 1072*b230*b510 + 1474*b230*b511 + 2010*b230*b512 + 
    1742*b230*b513 + 268*b230*b514 + 2948*b230*b515 + 10452*b230*b517 + 12194*
    b230*b518 + 1742*b230*b519 + 7906*b230*b520 + 6566*b230*b521 + 11390*b230*
    b522 + 11256*b230*b523 + 5092*b230*b524 + 5494*b230*b525 + 7504*b230*b526
     + 5226*b230*b527 + 7102*b230*b528 + 10318*b230*b529 + 6700*b230*b530 + 
    1320*b230*b531 + 1056*b230*b532 + 3960*b230*b533 + 540*b230*b534 + 432*b230
    *b535 + 1620*b230*b536 + 980*b230*b537 + 784*b230*b538 + 2940*b230*b539 + 
    1980*b230*b540 + 1584*b230*b541 + 5940*b230*b542 + 1820*b230*b543 + 1456*
    b230*b544 + 5460*b230*b545 + 1440*b230*b546 + 1152*b230*b547 + 4320*b230*
    b548 + 580*b230*b549 + 464*b230*b550 + 1740*b230*b551 + 1620*b230*b552 + 
    1296*b230*b553 + 4860*b230*b554 + 920*b230*b555 + 736*b230*b556 + 2760*b230
    *b557 + 480*b230*b561 + 384*b230*b562 + 1440*b230*b563 + 1580*b230*b564 + 
    1264*b230*b565 + 4740*b230*b566 + 1400*b230*b567 + 1120*b230*b568 + 4200*
    b230*b569 + 560*b230*b570 + 448*b230*b571 + 1680*b230*b572 + 380*b230*b573
     + 304*b230*b574 + 1140*b230*b575 + 1740*b230*b576 + 1392*b230*b577 + 5220*
    b230*b578 + 1600*b230*b579 + 1280*b230*b580 + 4800*b230*b581 + 80*b230*b582
     + 64*b230*b583 + 240*b230*b584 + 420*b230*b585 + 336*b230*b586 + 1260*b230
    *b587 + 680*b230*b588 + 544*b230*b589 + 2040*b230*b590 + 240*b230*b591 + 
    192*b230*b592 + 720*b230*b593 + 400*b230*b594 + 320*b230*b595 + 1200*b230*
    b596 + 1340*b230*b597 + 1072*b230*b598 + 4020*b230*b599 + 1136*b230*b600 + 
    1562*b230*b601 + 2130*b230*b602 + 1846*b230*b603 + 284*b230*b604 + 3124*
    b230*b605 + 11076*b230*b607 + 12922*b230*b608 + 1846*b230*b609 + 8378*b230*
    b610 + 6958*b230*b611 + 12070*b230*b612 + 11928*b230*b613 + 1136*b230*b614
     + 5396*b230*b615 + 5822*b230*b616 + 7952*b230*b617 + 5538*b230*b618 + 7526
    *b230*b619 + 10934*b230*b620 + 7100*b230*b621 + 4260*b230*b622 + 9798*b230*
    b623 + 740*b230*b624 + 592*b230*b625 + 2220*b230*b626 + 2688*b231*b245 + 
    3696*b231*b246 + 960*b231*b247 + 3984*b231*b248 + 1392*b231*b249 + 2880*
    b231*b250 + 2736*b231*b251 + 3744*b231*b252 + 2784*b231*b254 + 2640*b231*
    b255 + 912*b231*b256 + 4080*b231*b257 + 2496*b231*b258 + 1632*b231*b259 + 
    1920*b231*b260 + 3312*b231*b261 + 576*b231*b262 + 4080*b231*b263 + 3456*
    b231*b264 + 336*b231*b265 + 2352*b231*b266 + 8848*b231*b267 + 12166*b231*
    b268 + 3160*b231*b269 + 13114*b231*b270 + 4582*b231*b271 + 9480*b231*b272
     + 9006*b231*b273 + 12324*b231*b274 + 9164*b231*b276 + 8690*b231*b277 + 
    3002*b231*b278 + 13430*b231*b279 + 8216*b231*b280 + 5372*b231*b281 + 6320*
    b231*b282 + 10902*b231*b283 + 1896*b231*b284 + 13430*b231*b285 + 11376*b231
    *b286 + 1106*b231*b287 + 7742*b231*b288 + 7840*b231*b289 + 10780*b231*b290
     + 2800*b231*b291 + 11620*b231*b292 + 4060*b231*b293 + 8400*b231*b294 + 
    7980*b231*b295 + 10920*b231*b296 + 8120*b231*b298 + 7700*b231*b299 + 2660*
    b231*b300 + 11900*b231*b301 + 7280*b231*b302 + 4760*b231*b303 + 5600*b231*
    b304 + 9660*b231*b305 + 1680*b231*b306 + 11900*b231*b307 + 10080*b231*b308
     + 980*b231*b309 + 6860*b231*b310 + 3136*b231*b311 + 4312*b231*b312 + 1120*
    b231*b313 + 4648*b231*b314 + 1624*b231*b315 + 3360*b231*b316 + 3192*b231*
    b317 + 4368*b231*b318 + 3248*b231*b320 + 3080*b231*b321 + 1064*b231*b322 + 
    4760*b231*b323 + 2912*b231*b324 + 1904*b231*b325 + 2240*b231*b326 + 3864*
    b231*b327 + 672*b231*b328 + 4760*b231*b329 + 4032*b231*b330 + 392*b231*b331
     + 2744*b231*b332 + 2128*b231*b333 + 2926*b231*b334 + 760*b231*b335 + 3154*
    b231*b336 + 1102*b231*b337 + 2280*b231*b338 + 2166*b231*b339 + 2964*b231*
    b340 + 2204*b231*b342 + 2090*b231*b343 + 722*b231*b344 + 3230*b231*b345 + 
    1976*b231*b346 + 1292*b231*b347 + 1520*b231*b348 + 2622*b231*b349 + 456*
    b231*b350 + 3230*b231*b351 + 2736*b231*b352 + 266*b231*b353 + 1862*b231*
    b354 + 9744*b231*b355 + 13398*b231*b356 + 3480*b231*b357 + 14442*b231*b358
     + 5046*b231*b359 + 10440*b231*b360 + 9918*b231*b361 + 13572*b231*b362 + 
    10092*b231*b364 + 9570*b231*b365 + 3306*b231*b366 + 14790*b231*b367 + 9048*
    b231*b368 + 5916*b231*b369 + 6960*b231*b370 + 12006*b231*b371 + 2088*b231*
    b372 + 14790*b231*b373 + 12528*b231*b374 + 1218*b231*b375 + 8526*b231*b376
     + 8960*b231*b377 + 12320*b231*b378 + 3200*b231*b379 + 13280*b231*b380 + 
    4640*b231*b381 + 9600*b231*b382 + 9120*b231*b383 + 12480*b231*b384 + 9280*
    b231*b386 + 8800*b231*b387 + 3040*b231*b388 + 13600*b231*b389 + 8320*b231*
    b390 + 5440*b231*b391 + 6400*b231*b392 + 11040*b231*b393 + 1920*b231*b394
     + 13600*b231*b395 + 11520*b231*b396 + 1120*b231*b397 + 7840*b231*b398 + 
    448*b231*b399 + 616*b231*b400 + 160*b231*b401 + 664*b231*b402 + 232*b231*
    b403 + 480*b231*b404 + 456*b231*b405 + 624*b231*b406 + 464*b231*b408 + 440*
    b231*b409 + 152*b231*b410 + 680*b231*b411 + 416*b231*b412 + 272*b231*b413
     + 320*b231*b414 + 552*b231*b415 + 96*b231*b416 + 680*b231*b417 + 576*b231*
    b418 + 56*b231*b419 + 392*b231*b420 + 2352*b231*b421 + 3234*b231*b422 + 840
    *b231*b423 + 3486*b231*b424 + 1218*b231*b425 + 2520*b231*b426 + 2394*b231*
    b427 + 3276*b231*b428 + 2436*b231*b430 + 2310*b231*b431 + 798*b231*b432 + 
    3570*b231*b433 + 2184*b231*b434 + 1428*b231*b435 + 1680*b231*b436 + 2898*
    b231*b437 + 504*b231*b438 + 3570*b231*b439 + 3024*b231*b440 + 294*b231*b441
     + 2058*b231*b442 + 3808*b231*b443 + 5236*b231*b444 + 1360*b231*b445 + 5644
    *b231*b446 + 1972*b231*b447 + 4080*b231*b448 + 3876*b231*b449 + 5304*b231*
    b450 + 3944*b231*b452 + 3740*b231*b453 + 1292*b231*b454 + 5780*b231*b455 + 
    3536*b231*b456 + 2312*b231*b457 + 2720*b231*b458 + 4692*b231*b459 + 816*
    b231*b460 + 5780*b231*b461 + 4896*b231*b462 + 476*b231*b463 + 3332*b231*
    b464 + 1344*b231*b465 + 1848*b231*b466 + 480*b231*b467 + 1992*b231*b468 + 
    696*b231*b469 + 1440*b231*b470 + 1368*b231*b471 + 1872*b231*b472 + 1392*
    b231*b474 + 1320*b231*b475 + 456*b231*b476 + 2040*b231*b477 + 1248*b231*
    b478 + 816*b231*b479 + 960*b231*b480 + 1656*b231*b481 + 288*b231*b482 + 
    2040*b231*b483 + 1728*b231*b484 + 168*b231*b485 + 1176*b231*b486 + 2240*
    b231*b487 + 3080*b231*b488 + 800*b231*b489 + 3320*b231*b490 + 1160*b231*
    b491 + 2400*b231*b492 + 2280*b231*b493 + 3120*b231*b494 + 2320*b231*b496 + 
    2200*b231*b497 + 760*b231*b498 + 3400*b231*b499 + 2080*b231*b500 + 1360*
    b231*b501 + 1600*b231*b502 + 2760*b231*b503 + 480*b231*b504 + 3400*b231*
    b505 + 2880*b231*b506 + 280*b231*b507 + 1960*b231*b508 + 7504*b231*b509 + 
    10318*b231*b510 + 2680*b231*b511 + 11122*b231*b512 + 3886*b231*b513 + 8040*
    b231*b514 + 7638*b231*b515 + 10452*b231*b516 + 7772*b231*b518 + 7370*b231*
    b519 + 2546*b231*b520 + 11390*b231*b521 + 6968*b231*b522 + 4556*b231*b523
     + 5360*b231*b524 + 9246*b231*b525 + 1608*b231*b526 + 11390*b231*b527 + 
    9648*b231*b528 + 938*b231*b529 + 6566*b231*b530 + 528*b231*b531 + 6996*b231
    *b532 + 6072*b231*b533 + 216*b231*b534 + 2862*b231*b535 + 2484*b231*b536 + 
    392*b231*b537 + 5194*b231*b538 + 4508*b231*b539 + 792*b231*b540 + 10494*
    b231*b541 + 9108*b231*b542 + 728*b231*b543 + 9646*b231*b544 + 8372*b231*
    b545 + 576*b231*b546 + 7632*b231*b547 + 6624*b231*b548 + 232*b231*b549 + 
    3074*b231*b550 + 2668*b231*b551 + 648*b231*b552 + 8586*b231*b553 + 7452*
    b231*b554 + 368*b231*b555 + 4876*b231*b556 + 4232*b231*b557 + 192*b231*b561
     + 2544*b231*b562 + 2208*b231*b563 + 632*b231*b564 + 8374*b231*b565 + 7268*
    b231*b566 + 560*b231*b567 + 7420*b231*b568 + 6440*b231*b569 + 224*b231*b570
     + 2968*b231*b571 + 2576*b231*b572 + 152*b231*b573 + 2014*b231*b574 + 1748*
    b231*b575 + 696*b231*b576 + 9222*b231*b577 + 8004*b231*b578 + 640*b231*b579
     + 8480*b231*b580 + 7360*b231*b581 + 32*b231*b582 + 424*b231*b583 + 368*
    b231*b584 + 168*b231*b585 + 2226*b231*b586 + 1932*b231*b587 + 272*b231*b588
     + 3604*b231*b589 + 3128*b231*b590 + 96*b231*b591 + 1272*b231*b592 + 1104*
    b231*b593 + 160*b231*b594 + 2120*b231*b595 + 1840*b231*b596 + 536*b231*b597
     + 7102*b231*b598 + 6164*b231*b599 + 10934*b231*b600 + 2840*b231*b601 + 
    11786*b231*b602 + 4118*b231*b603 + 8520*b231*b604 + 8094*b231*b605 + 11076*
    b231*b606 + 8236*b231*b608 + 7810*b231*b609 + 2698*b231*b610 + 12070*b231*
    b611 + 7384*b231*b612 + 4828*b231*b613 + 7526*b231*b614 + 5680*b231*b615 + 
    9798*b231*b616 + 1704*b231*b617 + 12070*b231*b618 + 10224*b231*b619 + 994*
    b231*b620 + 6958*b231*b621 + 6532*b231*b622 + 7952*b231*b623 + 296*b231*
    b624 + 3922*b231*b625 + 3404*b231*b626 + 4128*b232*b245 + 3552*b232*b246 + 
    1008*b232*b247 + 4608*b232*b248 + 528*b232*b249 + 3456*b232*b250 + 3024*
    b232*b251 + 4368*b232*b252 + 2784*b232*b253 + 4176*b232*b255 + 2784*b232*
    b256 + 816*b232*b257 + 3264*b232*b258 + 1296*b232*b259 + 288*b232*b260 + 
    3216*b232*b261 + 1248*b232*b262 + 3936*b232*b263 + 2112*b232*b264 + 1680*
    b232*b265 + 144*b232*b266 + 13588*b232*b267 + 11692*b232*b268 + 3318*b232*
    b269 + 15168*b232*b270 + 1738*b232*b271 + 11376*b232*b272 + 9954*b232*b273
     + 14378*b232*b274 + 9164*b232*b275 + 13746*b232*b277 + 9164*b232*b278 + 
    2686*b232*b279 + 10744*b232*b280 + 4266*b232*b281 + 948*b232*b282 + 10586*
    b232*b283 + 4108*b232*b284 + 12956*b232*b285 + 6952*b232*b286 + 5530*b232*
    b287 + 474*b232*b288 + 12040*b232*b289 + 10360*b232*b290 + 2940*b232*b291
     + 13440*b232*b292 + 1540*b232*b293 + 10080*b232*b294 + 8820*b232*b295 + 
    12740*b232*b296 + 8120*b232*b297 + 12180*b232*b299 + 8120*b232*b300 + 2380*
    b232*b301 + 9520*b232*b302 + 3780*b232*b303 + 840*b232*b304 + 9380*b232*
    b305 + 3640*b232*b306 + 11480*b232*b307 + 6160*b232*b308 + 4900*b232*b309
     + 420*b232*b310 + 4816*b232*b311 + 4144*b232*b312 + 1176*b232*b313 + 5376*
    b232*b314 + 616*b232*b315 + 4032*b232*b316 + 3528*b232*b317 + 5096*b232*
    b318 + 3248*b232*b319 + 4872*b232*b321 + 3248*b232*b322 + 952*b232*b323 + 
    3808*b232*b324 + 1512*b232*b325 + 336*b232*b326 + 3752*b232*b327 + 1456*
    b232*b328 + 4592*b232*b329 + 2464*b232*b330 + 1960*b232*b331 + 168*b232*
    b332 + 3268*b232*b333 + 2812*b232*b334 + 798*b232*b335 + 3648*b232*b336 + 
    418*b232*b337 + 2736*b232*b338 + 2394*b232*b339 + 3458*b232*b340 + 2204*
    b232*b341 + 3306*b232*b343 + 2204*b232*b344 + 646*b232*b345 + 2584*b232*
    b346 + 1026*b232*b347 + 228*b232*b348 + 2546*b232*b349 + 988*b232*b350 + 
    3116*b232*b351 + 1672*b232*b352 + 1330*b232*b353 + 114*b232*b354 + 14964*
    b232*b355 + 12876*b232*b356 + 3654*b232*b357 + 16704*b232*b358 + 1914*b232*
    b359 + 12528*b232*b360 + 10962*b232*b361 + 15834*b232*b362 + 10092*b232*
    b363 + 15138*b232*b365 + 10092*b232*b366 + 2958*b232*b367 + 11832*b232*b368
     + 4698*b232*b369 + 1044*b232*b370 + 11658*b232*b371 + 4524*b232*b372 + 
    14268*b232*b373 + 7656*b232*b374 + 6090*b232*b375 + 522*b232*b376 + 13760*
    b232*b377 + 11840*b232*b378 + 3360*b232*b379 + 15360*b232*b380 + 1760*b232*
    b381 + 11520*b232*b382 + 10080*b232*b383 + 14560*b232*b384 + 9280*b232*b385
     + 13920*b232*b387 + 9280*b232*b388 + 2720*b232*b389 + 10880*b232*b390 + 
    4320*b232*b391 + 960*b232*b392 + 10720*b232*b393 + 4160*b232*b394 + 13120*
    b232*b395 + 7040*b232*b396 + 5600*b232*b397 + 480*b232*b398 + 688*b232*b399
     + 592*b232*b400 + 168*b232*b401 + 768*b232*b402 + 88*b232*b403 + 576*b232*
    b404 + 504*b232*b405 + 728*b232*b406 + 464*b232*b407 + 696*b232*b409 + 464*
    b232*b410 + 136*b232*b411 + 544*b232*b412 + 216*b232*b413 + 48*b232*b414 + 
    536*b232*b415 + 208*b232*b416 + 656*b232*b417 + 352*b232*b418 + 280*b232*
    b419 + 24*b232*b420 + 3612*b232*b421 + 3108*b232*b422 + 882*b232*b423 + 
    4032*b232*b424 + 462*b232*b425 + 3024*b232*b426 + 2646*b232*b427 + 3822*
    b232*b428 + 2436*b232*b429 + 3654*b232*b431 + 2436*b232*b432 + 714*b232*
    b433 + 2856*b232*b434 + 1134*b232*b435 + 252*b232*b436 + 2814*b232*b437 + 
    1092*b232*b438 + 3444*b232*b439 + 1848*b232*b440 + 1470*b232*b441 + 126*
    b232*b442 + 5848*b232*b443 + 5032*b232*b444 + 1428*b232*b445 + 6528*b232*
    b446 + 748*b232*b447 + 4896*b232*b448 + 4284*b232*b449 + 6188*b232*b450 + 
    3944*b232*b451 + 5916*b232*b453 + 3944*b232*b454 + 1156*b232*b455 + 4624*
    b232*b456 + 1836*b232*b457 + 408*b232*b458 + 4556*b232*b459 + 1768*b232*
    b460 + 5576*b232*b461 + 2992*b232*b462 + 2380*b232*b463 + 204*b232*b464 + 
    2064*b232*b465 + 1776*b232*b466 + 504*b232*b467 + 2304*b232*b468 + 264*b232
    *b469 + 1728*b232*b470 + 1512*b232*b471 + 2184*b232*b472 + 1392*b232*b473
     + 2088*b232*b475 + 1392*b232*b476 + 408*b232*b477 + 1632*b232*b478 + 648*
    b232*b479 + 144*b232*b480 + 1608*b232*b481 + 624*b232*b482 + 1968*b232*b483
     + 1056*b232*b484 + 840*b232*b485 + 72*b232*b486 + 3440*b232*b487 + 2960*
    b232*b488 + 840*b232*b489 + 3840*b232*b490 + 440*b232*b491 + 2880*b232*b492
     + 2520*b232*b493 + 3640*b232*b494 + 2320*b232*b495 + 3480*b232*b497 + 2320
    *b232*b498 + 680*b232*b499 + 2720*b232*b500 + 1080*b232*b501 + 240*b232*
    b502 + 2680*b232*b503 + 1040*b232*b504 + 3280*b232*b505 + 1760*b232*b506 + 
    1400*b232*b507 + 120*b232*b508 + 11524*b232*b509 + 9916*b232*b510 + 2814*
    b232*b511 + 12864*b232*b512 + 1474*b232*b513 + 9648*b232*b514 + 8442*b232*
    b515 + 12194*b232*b516 + 7772*b232*b517 + 11658*b232*b519 + 7772*b232*b520
     + 2278*b232*b521 + 9112*b232*b522 + 3618*b232*b523 + 804*b232*b524 + 8978*
    b232*b525 + 3484*b232*b526 + 10988*b232*b527 + 5896*b232*b528 + 4690*b232*
    b529 + 402*b232*b530 + 8316*b232*b531 + 2772*b232*b532 + 8184*b232*b533 + 
    3402*b232*b534 + 1134*b232*b535 + 3348*b232*b536 + 6174*b232*b537 + 2058*
    b232*b538 + 6076*b232*b539 + 12474*b232*b540 + 4158*b232*b541 + 12276*b232*
    b542 + 11466*b232*b543 + 3822*b232*b544 + 11284*b232*b545 + 9072*b232*b546
     + 3024*b232*b547 + 8928*b232*b548 + 3654*b232*b549 + 1218*b232*b550 + 3596
    *b232*b551 + 10206*b232*b552 + 3402*b232*b553 + 10044*b232*b554 + 5796*b232
    *b555 + 1932*b232*b556 + 5704*b232*b557 + 3024*b232*b561 + 1008*b232*b562
     + 2976*b232*b563 + 9954*b232*b564 + 3318*b232*b565 + 9796*b232*b566 + 8820
    *b232*b567 + 2940*b232*b568 + 8680*b232*b569 + 3528*b232*b570 + 1176*b232*
    b571 + 3472*b232*b572 + 2394*b232*b573 + 798*b232*b574 + 2356*b232*b575 + 
    10962*b232*b576 + 3654*b232*b577 + 10788*b232*b578 + 10080*b232*b579 + 3360
    *b232*b580 + 9920*b232*b581 + 504*b232*b582 + 168*b232*b583 + 496*b232*b584
     + 2646*b232*b585 + 882*b232*b586 + 2604*b232*b587 + 4284*b232*b588 + 1428*
    b232*b589 + 4216*b232*b590 + 1512*b232*b591 + 504*b232*b592 + 1488*b232*
    b593 + 2520*b232*b594 + 840*b232*b595 + 2480*b232*b596 + 8442*b232*b597 + 
    2814*b232*b598 + 8308*b232*b599 + 10508*b232*b600 + 2982*b232*b601 + 13632*
    b232*b602 + 1562*b232*b603 + 10224*b232*b604 + 8946*b232*b605 + 12922*b232*
    b606 + 8236*b232*b607 + 12354*b232*b609 + 8236*b232*b610 + 2414*b232*b611
     + 9656*b232*b612 + 3834*b232*b613 + 2982*b232*b614 + 852*b232*b615 + 9514*
    b232*b616 + 3692*b232*b617 + 11644*b232*b618 + 6248*b232*b619 + 4970*b232*
    b620 + 426*b232*b621 + 8804*b232*b622 + 12212*b232*b623 + 4662*b232*b624 + 
    1554*b232*b625 + 4588*b232*b626 + 2160*b233*b245 + 1440*b233*b246 + 2928*
    b233*b247 + 3552*b233*b248 + 3696*b233*b249 + 3552*b233*b250 + 288*b233*
    b251 + 624*b233*b252 + 2640*b233*b253 + 4176*b233*b254 + 384*b233*b256 + 
    2448*b233*b257 + 48*b233*b258 + 4368*b233*b259 + 4176*b233*b260 + 3456*b233
    *b261 + 2160*b233*b262 + 4608*b233*b263 + 336*b233*b264 + 4176*b233*b265 + 
    3264*b233*b266 + 7110*b233*b267 + 4740*b233*b268 + 9638*b233*b269 + 11692*
    b233*b270 + 12166*b233*b271 + 11692*b233*b272 + 948*b233*b273 + 2054*b233*
    b274 + 8690*b233*b275 + 13746*b233*b276 + 1264*b233*b278 + 8058*b233*b279
     + 158*b233*b280 + 14378*b233*b281 + 13746*b233*b282 + 11376*b233*b283 + 
    7110*b233*b284 + 15168*b233*b285 + 1106*b233*b286 + 13746*b233*b287 + 10744
    *b233*b288 + 6300*b233*b289 + 4200*b233*b290 + 8540*b233*b291 + 10360*b233*
    b292 + 10780*b233*b293 + 10360*b233*b294 + 840*b233*b295 + 1820*b233*b296
     + 7700*b233*b297 + 12180*b233*b298 + 1120*b233*b300 + 7140*b233*b301 + 140
    *b233*b302 + 12740*b233*b303 + 12180*b233*b304 + 10080*b233*b305 + 6300*
    b233*b306 + 13440*b233*b307 + 980*b233*b308 + 12180*b233*b309 + 9520*b233*
    b310 + 2520*b233*b311 + 1680*b233*b312 + 3416*b233*b313 + 4144*b233*b314 + 
    4312*b233*b315 + 4144*b233*b316 + 336*b233*b317 + 728*b233*b318 + 3080*b233
    *b319 + 4872*b233*b320 + 448*b233*b322 + 2856*b233*b323 + 56*b233*b324 + 
    5096*b233*b325 + 4872*b233*b326 + 4032*b233*b327 + 2520*b233*b328 + 5376*
    b233*b329 + 392*b233*b330 + 4872*b233*b331 + 3808*b233*b332 + 1710*b233*
    b333 + 1140*b233*b334 + 2318*b233*b335 + 2812*b233*b336 + 2926*b233*b337 + 
    2812*b233*b338 + 228*b233*b339 + 494*b233*b340 + 2090*b233*b341 + 3306*b233
    *b342 + 304*b233*b344 + 1938*b233*b345 + 38*b233*b346 + 3458*b233*b347 + 
    3306*b233*b348 + 2736*b233*b349 + 1710*b233*b350 + 3648*b233*b351 + 266*
    b233*b352 + 3306*b233*b353 + 2584*b233*b354 + 7830*b233*b355 + 5220*b233*
    b356 + 10614*b233*b357 + 12876*b233*b358 + 13398*b233*b359 + 12876*b233*
    b360 + 1044*b233*b361 + 2262*b233*b362 + 9570*b233*b363 + 15138*b233*b364
     + 1392*b233*b366 + 8874*b233*b367 + 174*b233*b368 + 15834*b233*b369 + 
    15138*b233*b370 + 12528*b233*b371 + 7830*b233*b372 + 16704*b233*b373 + 1218
    *b233*b374 + 15138*b233*b375 + 11832*b233*b376 + 7200*b233*b377 + 4800*b233
    *b378 + 9760*b233*b379 + 11840*b233*b380 + 12320*b233*b381 + 11840*b233*
    b382 + 960*b233*b383 + 2080*b233*b384 + 8800*b233*b385 + 13920*b233*b386 + 
    1280*b233*b388 + 8160*b233*b389 + 160*b233*b390 + 14560*b233*b391 + 13920*
    b233*b392 + 11520*b233*b393 + 7200*b233*b394 + 15360*b233*b395 + 1120*b233*
    b396 + 13920*b233*b397 + 10880*b233*b398 + 360*b233*b399 + 240*b233*b400 + 
    488*b233*b401 + 592*b233*b402 + 616*b233*b403 + 592*b233*b404 + 48*b233*
    b405 + 104*b233*b406 + 440*b233*b407 + 696*b233*b408 + 64*b233*b410 + 408*
    b233*b411 + 8*b233*b412 + 728*b233*b413 + 696*b233*b414 + 576*b233*b415 + 
    360*b233*b416 + 768*b233*b417 + 56*b233*b418 + 696*b233*b419 + 544*b233*
    b420 + 1890*b233*b421 + 1260*b233*b422 + 2562*b233*b423 + 3108*b233*b424 + 
    3234*b233*b425 + 3108*b233*b426 + 252*b233*b427 + 546*b233*b428 + 2310*b233
    *b429 + 3654*b233*b430 + 336*b233*b432 + 2142*b233*b433 + 42*b233*b434 + 
    3822*b233*b435 + 3654*b233*b436 + 3024*b233*b437 + 1890*b233*b438 + 4032*
    b233*b439 + 294*b233*b440 + 3654*b233*b441 + 2856*b233*b442 + 3060*b233*
    b443 + 2040*b233*b444 + 4148*b233*b445 + 5032*b233*b446 + 5236*b233*b447 + 
    5032*b233*b448 + 408*b233*b449 + 884*b233*b450 + 3740*b233*b451 + 5916*b233
    *b452 + 544*b233*b454 + 3468*b233*b455 + 68*b233*b456 + 6188*b233*b457 + 
    5916*b233*b458 + 4896*b233*b459 + 3060*b233*b460 + 6528*b233*b461 + 476*
    b233*b462 + 5916*b233*b463 + 4624*b233*b464 + 1080*b233*b465 + 720*b233*
    b466 + 1464*b233*b467 + 1776*b233*b468 + 1848*b233*b469 + 1776*b233*b470 + 
    144*b233*b471 + 312*b233*b472 + 1320*b233*b473 + 2088*b233*b474 + 192*b233*
    b476 + 1224*b233*b477 + 24*b233*b478 + 2184*b233*b479 + 2088*b233*b480 + 
    1728*b233*b481 + 1080*b233*b482 + 2304*b233*b483 + 168*b233*b484 + 2088*
    b233*b485 + 1632*b233*b486 + 1800*b233*b487 + 1200*b233*b488 + 2440*b233*
    b489 + 2960*b233*b490 + 3080*b233*b491 + 2960*b233*b492 + 240*b233*b493 + 
    520*b233*b494 + 2200*b233*b495 + 3480*b233*b496 + 320*b233*b498 + 2040*b233
    *b499 + 40*b233*b500 + 3640*b233*b501 + 3480*b233*b502 + 2880*b233*b503 + 
    1800*b233*b504 + 3840*b233*b505 + 280*b233*b506 + 3480*b233*b507 + 2720*
    b233*b508 + 6030*b233*b509 + 4020*b233*b510 + 8174*b233*b511 + 9916*b233*
    b512 + 10318*b233*b513 + 9916*b233*b514 + 804*b233*b515 + 1742*b233*b516 + 
    7370*b233*b517 + 11658*b233*b518 + 1072*b233*b520 + 6834*b233*b521 + 134*
    b233*b522 + 12194*b233*b523 + 11658*b233*b524 + 9648*b233*b525 + 6030*b233*
    b526 + 12864*b233*b527 + 938*b233*b528 + 11658*b233*b529 + 9112*b233*b530
     + 792*b233*b531 + 5148*b233*b532 + 4356*b233*b533 + 324*b233*b534 + 2106*
    b233*b535 + 1782*b233*b536 + 588*b233*b537 + 3822*b233*b538 + 3234*b233*
    b539 + 1188*b233*b540 + 7722*b233*b541 + 6534*b233*b542 + 1092*b233*b543 + 
    7098*b233*b544 + 6006*b233*b545 + 864*b233*b546 + 5616*b233*b547 + 4752*
    b233*b548 + 348*b233*b549 + 2262*b233*b550 + 1914*b233*b551 + 972*b233*b552
     + 6318*b233*b553 + 5346*b233*b554 + 552*b233*b555 + 3588*b233*b556 + 3036*
    b233*b557 + 288*b233*b561 + 1872*b233*b562 + 1584*b233*b563 + 948*b233*b564
     + 6162*b233*b565 + 5214*b233*b566 + 840*b233*b567 + 5460*b233*b568 + 4620*
    b233*b569 + 336*b233*b570 + 2184*b233*b571 + 1848*b233*b572 + 228*b233*b573
     + 1482*b233*b574 + 1254*b233*b575 + 1044*b233*b576 + 6786*b233*b577 + 5742
    *b233*b578 + 960*b233*b579 + 6240*b233*b580 + 5280*b233*b581 + 48*b233*b582
     + 312*b233*b583 + 264*b233*b584 + 252*b233*b585 + 1638*b233*b586 + 1386*
    b233*b587 + 408*b233*b588 + 2652*b233*b589 + 2244*b233*b590 + 144*b233*b591
     + 936*b233*b592 + 792*b233*b593 + 240*b233*b594 + 1560*b233*b595 + 1320*
    b233*b596 + 804*b233*b597 + 5226*b233*b598 + 4422*b233*b599 + 4260*b233*
    b600 + 8662*b233*b601 + 10508*b233*b602 + 10934*b233*b603 + 10508*b233*b604
     + 852*b233*b605 + 1846*b233*b606 + 7810*b233*b607 + 12354*b233*b608 + 1136
    *b233*b610 + 7242*b233*b611 + 142*b233*b612 + 12922*b233*b613 + 5538*b233*
    b614 + 12354*b233*b615 + 10224*b233*b616 + 6390*b233*b617 + 13632*b233*b618
     + 994*b233*b619 + 12354*b233*b620 + 9656*b233*b621 + 4686*b233*b622 + 6390
    *b233*b623 + 444*b233*b624 + 2886*b233*b625 + 2442*b233*b626 + 4368*b234*
    b245 + 4272*b234*b246 + 3840*b234*b247 + 2160*b234*b248 + 1536*b234*b249 + 
    2208*b234*b250 + 2832*b234*b252 + 912*b234*b253 + 2784*b234*b254 + 384*b234
    *b255 + 144*b234*b257 + 1008*b234*b258 + 4320*b234*b259 + 2256*b234*b260 + 
    1200*b234*b261 + 1440*b234*b262 + 2064*b234*b263 + 4656*b234*b264 + 1584*
    b234*b265 + 1680*b234*b266 + 14378*b234*b267 + 14062*b234*b268 + 12640*b234
    *b269 + 7110*b234*b270 + 5056*b234*b271 + 7268*b234*b272 + 9322*b234*b274
     + 3002*b234*b275 + 9164*b234*b276 + 1264*b234*b277 + 474*b234*b279 + 3318*
    b234*b280 + 14220*b234*b281 + 7426*b234*b282 + 3950*b234*b283 + 4740*b234*
    b284 + 6794*b234*b285 + 15326*b234*b286 + 5214*b234*b287 + 5530*b234*b288
     + 12740*b234*b289 + 12460*b234*b290 + 11200*b234*b291 + 6300*b234*b292 + 
    4480*b234*b293 + 6440*b234*b294 + 8260*b234*b296 + 2660*b234*b297 + 8120*
    b234*b298 + 1120*b234*b299 + 420*b234*b301 + 2940*b234*b302 + 12600*b234*
    b303 + 6580*b234*b304 + 3500*b234*b305 + 4200*b234*b306 + 6020*b234*b307 + 
    13580*b234*b308 + 4620*b234*b309 + 4900*b234*b310 + 5096*b234*b311 + 4984*
    b234*b312 + 4480*b234*b313 + 2520*b234*b314 + 1792*b234*b315 + 2576*b234*
    b316 + 3304*b234*b318 + 1064*b234*b319 + 3248*b234*b320 + 448*b234*b321 + 
    168*b234*b323 + 1176*b234*b324 + 5040*b234*b325 + 2632*b234*b326 + 1400*
    b234*b327 + 1680*b234*b328 + 2408*b234*b329 + 5432*b234*b330 + 1848*b234*
    b331 + 1960*b234*b332 + 3458*b234*b333 + 3382*b234*b334 + 3040*b234*b335 + 
    1710*b234*b336 + 1216*b234*b337 + 1748*b234*b338 + 2242*b234*b340 + 722*
    b234*b341 + 2204*b234*b342 + 304*b234*b343 + 114*b234*b345 + 798*b234*b346
     + 3420*b234*b347 + 1786*b234*b348 + 950*b234*b349 + 1140*b234*b350 + 1634*
    b234*b351 + 3686*b234*b352 + 1254*b234*b353 + 1330*b234*b354 + 15834*b234*
    b355 + 15486*b234*b356 + 13920*b234*b357 + 7830*b234*b358 + 5568*b234*b359
     + 8004*b234*b360 + 10266*b234*b362 + 3306*b234*b363 + 10092*b234*b364 + 
    1392*b234*b365 + 522*b234*b367 + 3654*b234*b368 + 15660*b234*b369 + 8178*
    b234*b370 + 4350*b234*b371 + 5220*b234*b372 + 7482*b234*b373 + 16878*b234*
    b374 + 5742*b234*b375 + 6090*b234*b376 + 14560*b234*b377 + 14240*b234*b378
     + 12800*b234*b379 + 7200*b234*b380 + 5120*b234*b381 + 7360*b234*b382 + 
    9440*b234*b384 + 3040*b234*b385 + 9280*b234*b386 + 1280*b234*b387 + 480*
    b234*b389 + 3360*b234*b390 + 14400*b234*b391 + 7520*b234*b392 + 4000*b234*
    b393 + 4800*b234*b394 + 6880*b234*b395 + 15520*b234*b396 + 5280*b234*b397
     + 5600*b234*b398 + 728*b234*b399 + 712*b234*b400 + 640*b234*b401 + 360*
    b234*b402 + 256*b234*b403 + 368*b234*b404 + 472*b234*b406 + 152*b234*b407
     + 464*b234*b408 + 64*b234*b409 + 24*b234*b411 + 168*b234*b412 + 720*b234*
    b413 + 376*b234*b414 + 200*b234*b415 + 240*b234*b416 + 344*b234*b417 + 776*
    b234*b418 + 264*b234*b419 + 280*b234*b420 + 3822*b234*b421 + 3738*b234*b422
     + 3360*b234*b423 + 1890*b234*b424 + 1344*b234*b425 + 1932*b234*b426 + 2478
    *b234*b428 + 798*b234*b429 + 2436*b234*b430 + 336*b234*b431 + 126*b234*b433
     + 882*b234*b434 + 3780*b234*b435 + 1974*b234*b436 + 1050*b234*b437 + 1260*
    b234*b438 + 1806*b234*b439 + 4074*b234*b440 + 1386*b234*b441 + 1470*b234*
    b442 + 6188*b234*b443 + 6052*b234*b444 + 5440*b234*b445 + 3060*b234*b446 + 
    2176*b234*b447 + 3128*b234*b448 + 4012*b234*b450 + 1292*b234*b451 + 3944*
    b234*b452 + 544*b234*b453 + 204*b234*b455 + 1428*b234*b456 + 6120*b234*b457
     + 3196*b234*b458 + 1700*b234*b459 + 2040*b234*b460 + 2924*b234*b461 + 6596
    *b234*b462 + 2244*b234*b463 + 2380*b234*b464 + 2184*b234*b465 + 2136*b234*
    b466 + 1920*b234*b467 + 1080*b234*b468 + 768*b234*b469 + 1104*b234*b470 + 
    1416*b234*b472 + 456*b234*b473 + 1392*b234*b474 + 192*b234*b475 + 72*b234*
    b477 + 504*b234*b478 + 2160*b234*b479 + 1128*b234*b480 + 600*b234*b481 + 
    720*b234*b482 + 1032*b234*b483 + 2328*b234*b484 + 792*b234*b485 + 840*b234*
    b486 + 3640*b234*b487 + 3560*b234*b488 + 3200*b234*b489 + 1800*b234*b490 + 
    1280*b234*b491 + 1840*b234*b492 + 2360*b234*b494 + 760*b234*b495 + 2320*
    b234*b496 + 320*b234*b497 + 120*b234*b499 + 840*b234*b500 + 3600*b234*b501
     + 1880*b234*b502 + 1000*b234*b503 + 1200*b234*b504 + 1720*b234*b505 + 3880
    *b234*b506 + 1320*b234*b507 + 1400*b234*b508 + 12194*b234*b509 + 11926*b234
    *b510 + 10720*b234*b511 + 6030*b234*b512 + 4288*b234*b513 + 6164*b234*b514
     + 7906*b234*b516 + 2546*b234*b517 + 7772*b234*b518 + 1072*b234*b519 + 402*
    b234*b521 + 2814*b234*b522 + 12060*b234*b523 + 6298*b234*b524 + 3350*b234*
    b525 + 4020*b234*b526 + 5762*b234*b527 + 12998*b234*b528 + 4422*b234*b529
     + 4690*b234*b530 + 5808*b234*b531 + 5940*b234*b532 + 8052*b234*b533 + 2376
    *b234*b534 + 2430*b234*b535 + 3294*b234*b536 + 4312*b234*b537 + 4410*b234*
    b538 + 5978*b234*b539 + 8712*b234*b540 + 8910*b234*b541 + 12078*b234*b542
     + 8008*b234*b543 + 8190*b234*b544 + 11102*b234*b545 + 6336*b234*b546 + 
    6480*b234*b547 + 8784*b234*b548 + 2552*b234*b549 + 2610*b234*b550 + 3538*
    b234*b551 + 7128*b234*b552 + 7290*b234*b553 + 9882*b234*b554 + 4048*b234*
    b555 + 4140*b234*b556 + 5612*b234*b557 + 2112*b234*b561 + 2160*b234*b562 + 
    2928*b234*b563 + 6952*b234*b564 + 7110*b234*b565 + 9638*b234*b566 + 6160*
    b234*b567 + 6300*b234*b568 + 8540*b234*b569 + 2464*b234*b570 + 2520*b234*
    b571 + 3416*b234*b572 + 1672*b234*b573 + 1710*b234*b574 + 2318*b234*b575 + 
    7656*b234*b576 + 7830*b234*b577 + 10614*b234*b578 + 7040*b234*b579 + 7200*
    b234*b580 + 9760*b234*b581 + 352*b234*b582 + 360*b234*b583 + 488*b234*b584
     + 1848*b234*b585 + 1890*b234*b586 + 2562*b234*b587 + 2992*b234*b588 + 3060
    *b234*b589 + 4148*b234*b590 + 1056*b234*b591 + 1080*b234*b592 + 1464*b234*
    b593 + 1760*b234*b594 + 1800*b234*b595 + 2440*b234*b596 + 5896*b234*b597 + 
    6030*b234*b598 + 8174*b234*b599 + 12638*b234*b600 + 11360*b234*b601 + 6390*
    b234*b602 + 4544*b234*b603 + 6532*b234*b604 + 8378*b234*b606 + 2698*b234*
    b607 + 8236*b234*b608 + 1136*b234*b609 + 426*b234*b611 + 2982*b234*b612 + 
    12780*b234*b613 + 6390*b234*b614 + 6674*b234*b615 + 3550*b234*b616 + 4260*
    b234*b617 + 6106*b234*b618 + 13774*b234*b619 + 4686*b234*b620 + 4970*b234*
    b621 + 8662*b234*b622 + 12922*b234*b623 + 3256*b234*b624 + 3330*b234*b625
     + 4514*b234*b626 + 2832*b235*b245 + 3648*b235*b246 + 2784*b235*b247 + 3120
    *b235*b248 + 4176*b235*b249 + 624*b235*b250 + 2976*b235*b251 + 2352*b235*
    b252 + 4080*b235*b253 + 816*b235*b254 + 2448*b235*b255 + 144*b235*b256 + 
    2016*b235*b258 + 1728*b235*b259 + 336*b235*b260 + 4032*b235*b261 + 288*b235
    *b262 + 2304*b235*b265 + 2976*b235*b266 + 9322*b235*b267 + 12008*b235*b268
     + 9164*b235*b269 + 10270*b235*b270 + 13746*b235*b271 + 2054*b235*b272 + 
    9796*b235*b273 + 7742*b235*b274 + 13430*b235*b275 + 2686*b235*b276 + 8058*
    b235*b277 + 474*b235*b278 + 6636*b235*b280 + 5688*b235*b281 + 1106*b235*
    b282 + 13272*b235*b283 + 948*b235*b284 + 7584*b235*b287 + 9796*b235*b288 + 
    8260*b235*b289 + 10640*b235*b290 + 8120*b235*b291 + 9100*b235*b292 + 12180*
    b235*b293 + 1820*b235*b294 + 8680*b235*b295 + 6860*b235*b296 + 11900*b235*
    b297 + 2380*b235*b298 + 7140*b235*b299 + 420*b235*b300 + 5880*b235*b302 + 
    5040*b235*b303 + 980*b235*b304 + 11760*b235*b305 + 840*b235*b306 + 6720*
    b235*b309 + 8680*b235*b310 + 3304*b235*b311 + 4256*b235*b312 + 3248*b235*
    b313 + 3640*b235*b314 + 4872*b235*b315 + 728*b235*b316 + 3472*b235*b317 + 
    2744*b235*b318 + 4760*b235*b319 + 952*b235*b320 + 2856*b235*b321 + 168*b235
    *b322 + 2352*b235*b324 + 2016*b235*b325 + 392*b235*b326 + 4704*b235*b327 + 
    336*b235*b328 + 2688*b235*b331 + 3472*b235*b332 + 2242*b235*b333 + 2888*
    b235*b334 + 2204*b235*b335 + 2470*b235*b336 + 3306*b235*b337 + 494*b235*
    b338 + 2356*b235*b339 + 1862*b235*b340 + 3230*b235*b341 + 646*b235*b342 + 
    1938*b235*b343 + 114*b235*b344 + 1596*b235*b346 + 1368*b235*b347 + 266*b235
    *b348 + 3192*b235*b349 + 228*b235*b350 + 1824*b235*b353 + 2356*b235*b354 + 
    10266*b235*b355 + 13224*b235*b356 + 10092*b235*b357 + 11310*b235*b358 + 
    15138*b235*b359 + 2262*b235*b360 + 10788*b235*b361 + 8526*b235*b362 + 14790
    *b235*b363 + 2958*b235*b364 + 8874*b235*b365 + 522*b235*b366 + 7308*b235*
    b368 + 6264*b235*b369 + 1218*b235*b370 + 14616*b235*b371 + 1044*b235*b372
     + 8352*b235*b375 + 10788*b235*b376 + 9440*b235*b377 + 12160*b235*b378 + 
    9280*b235*b379 + 10400*b235*b380 + 13920*b235*b381 + 2080*b235*b382 + 9920*
    b235*b383 + 7840*b235*b384 + 13600*b235*b385 + 2720*b235*b386 + 8160*b235*
    b387 + 480*b235*b388 + 6720*b235*b390 + 5760*b235*b391 + 1120*b235*b392 + 
    13440*b235*b393 + 960*b235*b394 + 7680*b235*b397 + 9920*b235*b398 + 472*
    b235*b399 + 608*b235*b400 + 464*b235*b401 + 520*b235*b402 + 696*b235*b403
     + 104*b235*b404 + 496*b235*b405 + 392*b235*b406 + 680*b235*b407 + 136*b235
    *b408 + 408*b235*b409 + 24*b235*b410 + 336*b235*b412 + 288*b235*b413 + 56*
    b235*b414 + 672*b235*b415 + 48*b235*b416 + 384*b235*b419 + 496*b235*b420 + 
    2478*b235*b421 + 3192*b235*b422 + 2436*b235*b423 + 2730*b235*b424 + 3654*
    b235*b425 + 546*b235*b426 + 2604*b235*b427 + 2058*b235*b428 + 3570*b235*
    b429 + 714*b235*b430 + 2142*b235*b431 + 126*b235*b432 + 1764*b235*b434 + 
    1512*b235*b435 + 294*b235*b436 + 3528*b235*b437 + 252*b235*b438 + 2016*b235
    *b441 + 2604*b235*b442 + 4012*b235*b443 + 5168*b235*b444 + 3944*b235*b445
     + 4420*b235*b446 + 5916*b235*b447 + 884*b235*b448 + 4216*b235*b449 + 3332*
    b235*b450 + 5780*b235*b451 + 1156*b235*b452 + 3468*b235*b453 + 204*b235*
    b454 + 2856*b235*b456 + 2448*b235*b457 + 476*b235*b458 + 5712*b235*b459 + 
    408*b235*b460 + 3264*b235*b463 + 4216*b235*b464 + 1416*b235*b465 + 1824*
    b235*b466 + 1392*b235*b467 + 1560*b235*b468 + 2088*b235*b469 + 312*b235*
    b470 + 1488*b235*b471 + 1176*b235*b472 + 2040*b235*b473 + 408*b235*b474 + 
    1224*b235*b475 + 72*b235*b476 + 1008*b235*b478 + 864*b235*b479 + 168*b235*
    b480 + 2016*b235*b481 + 144*b235*b482 + 1152*b235*b485 + 1488*b235*b486 + 
    2360*b235*b487 + 3040*b235*b488 + 2320*b235*b489 + 2600*b235*b490 + 3480*
    b235*b491 + 520*b235*b492 + 2480*b235*b493 + 1960*b235*b494 + 3400*b235*
    b495 + 680*b235*b496 + 2040*b235*b497 + 120*b235*b498 + 1680*b235*b500 + 
    1440*b235*b501 + 280*b235*b502 + 3360*b235*b503 + 240*b235*b504 + 1920*b235
    *b507 + 2480*b235*b508 + 7906*b235*b509 + 10184*b235*b510 + 7772*b235*b511
     + 8710*b235*b512 + 11658*b235*b513 + 1742*b235*b514 + 8308*b235*b515 + 
    6566*b235*b516 + 11390*b235*b517 + 2278*b235*b518 + 6834*b235*b519 + 402*
    b235*b520 + 5628*b235*b522 + 4824*b235*b523 + 938*b235*b524 + 11256*b235*
    b525 + 804*b235*b526 + 6432*b235*b529 + 8308*b235*b530 + 5280*b235*b531 + 
    5676*b235*b532 + 7788*b235*b533 + 2160*b235*b534 + 2322*b235*b535 + 3186*
    b235*b536 + 3920*b235*b537 + 4214*b235*b538 + 5782*b235*b539 + 7920*b235*
    b540 + 8514*b235*b541 + 11682*b235*b542 + 7280*b235*b543 + 7826*b235*b544
     + 10738*b235*b545 + 5760*b235*b546 + 6192*b235*b547 + 8496*b235*b548 + 
    2320*b235*b549 + 2494*b235*b550 + 3422*b235*b551 + 6480*b235*b552 + 6966*
    b235*b553 + 9558*b235*b554 + 3680*b235*b555 + 3956*b235*b556 + 5428*b235*
    b557 + 1920*b235*b561 + 2064*b235*b562 + 2832*b235*b563 + 6320*b235*b564 + 
    6794*b235*b565 + 9322*b235*b566 + 5600*b235*b567 + 6020*b235*b568 + 8260*
    b235*b569 + 2240*b235*b570 + 2408*b235*b571 + 3304*b235*b572 + 1520*b235*
    b573 + 1634*b235*b574 + 2242*b235*b575 + 6960*b235*b576 + 7482*b235*b577 + 
    10266*b235*b578 + 6400*b235*b579 + 6880*b235*b580 + 9440*b235*b581 + 320*
    b235*b582 + 344*b235*b583 + 472*b235*b584 + 1680*b235*b585 + 1806*b235*b586
     + 2478*b235*b587 + 2720*b235*b588 + 2924*b235*b589 + 4012*b235*b590 + 960*
    b235*b591 + 1032*b235*b592 + 1416*b235*b593 + 1600*b235*b594 + 1720*b235*
    b595 + 2360*b235*b596 + 5360*b235*b597 + 5762*b235*b598 + 7906*b235*b599 + 
    10792*b235*b600 + 8236*b235*b601 + 9230*b235*b602 + 12354*b235*b603 + 1846*
    b235*b604 + 8804*b235*b605 + 6958*b235*b606 + 12070*b235*b607 + 2414*b235*
    b608 + 7242*b235*b609 + 426*b235*b610 + 5964*b235*b612 + 5112*b235*b613 + 
    6106*b235*b614 + 994*b235*b615 + 11928*b235*b616 + 852*b235*b617 + 6816*
    b235*b620 + 8804*b235*b621 + 8378*b235*b622 + 8378*b235*b623 + 2960*b235*
    b624 + 3182*b235*b625 + 4366*b235*b626 + 864*b236*b245 + 3648*b236*b246 + 
    1008*b236*b247 + 1920*b236*b248 + 3216*b236*b249 + 960*b236*b250 + 1968*
    b236*b251 + 4080*b236*b252 + 2496*b236*b253 + 3264*b236*b254 + 48*b236*b255
     + 1008*b236*b256 + 2016*b236*b257 + 1392*b236*b259 + 3936*b236*b260 + 1392
    *b236*b261 + 144*b236*b262 + 144*b236*b263 + 2448*b236*b264 + 3216*b236*
    b265 + 1872*b236*b266 + 2844*b236*b267 + 12008*b236*b268 + 3318*b236*b269
     + 6320*b236*b270 + 10586*b236*b271 + 3160*b236*b272 + 6478*b236*b273 + 
    13430*b236*b274 + 8216*b236*b275 + 10744*b236*b276 + 158*b236*b277 + 3318*
    b236*b278 + 6636*b236*b279 + 4582*b236*b281 + 12956*b236*b282 + 4582*b236*
    b283 + 474*b236*b284 + 474*b236*b285 + 8058*b236*b286 + 10586*b236*b287 + 
    6162*b236*b288 + 2520*b236*b289 + 10640*b236*b290 + 2940*b236*b291 + 5600*
    b236*b292 + 9380*b236*b293 + 2800*b236*b294 + 5740*b236*b295 + 11900*b236*
    b296 + 7280*b236*b297 + 9520*b236*b298 + 140*b236*b299 + 2940*b236*b300 + 
    5880*b236*b301 + 4060*b236*b303 + 11480*b236*b304 + 4060*b236*b305 + 420*
    b236*b306 + 420*b236*b307 + 7140*b236*b308 + 9380*b236*b309 + 5460*b236*
    b310 + 1008*b236*b311 + 4256*b236*b312 + 1176*b236*b313 + 2240*b236*b314 + 
    3752*b236*b315 + 1120*b236*b316 + 2296*b236*b317 + 4760*b236*b318 + 2912*
    b236*b319 + 3808*b236*b320 + 56*b236*b321 + 1176*b236*b322 + 2352*b236*b323
     + 1624*b236*b325 + 4592*b236*b326 + 1624*b236*b327 + 168*b236*b328 + 168*
    b236*b329 + 2856*b236*b330 + 3752*b236*b331 + 2184*b236*b332 + 684*b236*
    b333 + 2888*b236*b334 + 798*b236*b335 + 1520*b236*b336 + 2546*b236*b337 + 
    760*b236*b338 + 1558*b236*b339 + 3230*b236*b340 + 1976*b236*b341 + 2584*
    b236*b342 + 38*b236*b343 + 798*b236*b344 + 1596*b236*b345 + 1102*b236*b347
     + 3116*b236*b348 + 1102*b236*b349 + 114*b236*b350 + 114*b236*b351 + 1938*
    b236*b352 + 2546*b236*b353 + 1482*b236*b354 + 3132*b236*b355 + 13224*b236*
    b356 + 3654*b236*b357 + 6960*b236*b358 + 11658*b236*b359 + 3480*b236*b360
     + 7134*b236*b361 + 14790*b236*b362 + 9048*b236*b363 + 11832*b236*b364 + 
    174*b236*b365 + 3654*b236*b366 + 7308*b236*b367 + 5046*b236*b369 + 14268*
    b236*b370 + 5046*b236*b371 + 522*b236*b372 + 522*b236*b373 + 8874*b236*b374
     + 11658*b236*b375 + 6786*b236*b376 + 2880*b236*b377 + 12160*b236*b378 + 
    3360*b236*b379 + 6400*b236*b380 + 10720*b236*b381 + 3200*b236*b382 + 6560*
    b236*b383 + 13600*b236*b384 + 8320*b236*b385 + 10880*b236*b386 + 160*b236*
    b387 + 3360*b236*b388 + 6720*b236*b389 + 4640*b236*b391 + 13120*b236*b392
     + 4640*b236*b393 + 480*b236*b394 + 480*b236*b395 + 8160*b236*b396 + 10720*
    b236*b397 + 6240*b236*b398 + 144*b236*b399 + 608*b236*b400 + 168*b236*b401
     + 320*b236*b402 + 536*b236*b403 + 160*b236*b404 + 328*b236*b405 + 680*b236
    *b406 + 416*b236*b407 + 544*b236*b408 + 8*b236*b409 + 168*b236*b410 + 336*
    b236*b411 + 232*b236*b413 + 656*b236*b414 + 232*b236*b415 + 24*b236*b416 + 
    24*b236*b417 + 408*b236*b418 + 536*b236*b419 + 312*b236*b420 + 756*b236*
    b421 + 3192*b236*b422 + 882*b236*b423 + 1680*b236*b424 + 2814*b236*b425 + 
    840*b236*b426 + 1722*b236*b427 + 3570*b236*b428 + 2184*b236*b429 + 2856*
    b236*b430 + 42*b236*b431 + 882*b236*b432 + 1764*b236*b433 + 1218*b236*b435
     + 3444*b236*b436 + 1218*b236*b437 + 126*b236*b438 + 126*b236*b439 + 2142*
    b236*b440 + 2814*b236*b441 + 1638*b236*b442 + 1224*b236*b443 + 5168*b236*
    b444 + 1428*b236*b445 + 2720*b236*b446 + 4556*b236*b447 + 1360*b236*b448 + 
    2788*b236*b449 + 5780*b236*b450 + 3536*b236*b451 + 4624*b236*b452 + 68*b236
    *b453 + 1428*b236*b454 + 2856*b236*b455 + 1972*b236*b457 + 5576*b236*b458
     + 1972*b236*b459 + 204*b236*b460 + 204*b236*b461 + 3468*b236*b462 + 4556*
    b236*b463 + 2652*b236*b464 + 432*b236*b465 + 1824*b236*b466 + 504*b236*b467
     + 960*b236*b468 + 1608*b236*b469 + 480*b236*b470 + 984*b236*b471 + 2040*
    b236*b472 + 1248*b236*b473 + 1632*b236*b474 + 24*b236*b475 + 504*b236*b476
     + 1008*b236*b477 + 696*b236*b479 + 1968*b236*b480 + 696*b236*b481 + 72*
    b236*b482 + 72*b236*b483 + 1224*b236*b484 + 1608*b236*b485 + 936*b236*b486
     + 720*b236*b487 + 3040*b236*b488 + 840*b236*b489 + 1600*b236*b490 + 2680*
    b236*b491 + 800*b236*b492 + 1640*b236*b493 + 3400*b236*b494 + 2080*b236*
    b495 + 2720*b236*b496 + 40*b236*b497 + 840*b236*b498 + 1680*b236*b499 + 
    1160*b236*b501 + 3280*b236*b502 + 1160*b236*b503 + 120*b236*b504 + 120*b236
    *b505 + 2040*b236*b506 + 2680*b236*b507 + 1560*b236*b508 + 2412*b236*b509
     + 10184*b236*b510 + 2814*b236*b511 + 5360*b236*b512 + 8978*b236*b513 + 
    2680*b236*b514 + 5494*b236*b515 + 11390*b236*b516 + 6968*b236*b517 + 9112*
    b236*b518 + 134*b236*b519 + 2814*b236*b520 + 5628*b236*b521 + 3886*b236*
    b523 + 10988*b236*b524 + 3886*b236*b525 + 402*b236*b526 + 402*b236*b527 + 
    6834*b236*b528 + 8978*b236*b529 + 5226*b236*b530 + 9900*b236*b531 + 12408*
    b236*b532 + 1980*b236*b533 + 4050*b236*b534 + 5076*b236*b535 + 810*b236*
    b536 + 7350*b236*b537 + 9212*b236*b538 + 1470*b236*b539 + 14850*b236*b540
     + 18612*b236*b541 + 2970*b236*b542 + 13650*b236*b543 + 17108*b236*b544 + 
    2730*b236*b545 + 10800*b236*b546 + 13536*b236*b547 + 2160*b236*b548 + 4350*
    b236*b549 + 5452*b236*b550 + 870*b236*b551 + 12150*b236*b552 + 15228*b236*
    b553 + 2430*b236*b554 + 6900*b236*b555 + 8648*b236*b556 + 1380*b236*b557 + 
    3600*b236*b561 + 4512*b236*b562 + 720*b236*b563 + 11850*b236*b564 + 14852*
    b236*b565 + 2370*b236*b566 + 10500*b236*b567 + 13160*b236*b568 + 2100*b236*
    b569 + 4200*b236*b570 + 5264*b236*b571 + 840*b236*b572 + 2850*b236*b573 + 
    3572*b236*b574 + 570*b236*b575 + 13050*b236*b576 + 16356*b236*b577 + 2610*
    b236*b578 + 12000*b236*b579 + 15040*b236*b580 + 2400*b236*b581 + 600*b236*
    b582 + 752*b236*b583 + 120*b236*b584 + 3150*b236*b585 + 3948*b236*b586 + 
    630*b236*b587 + 5100*b236*b588 + 6392*b236*b589 + 1020*b236*b590 + 1800*
    b236*b591 + 2256*b236*b592 + 360*b236*b593 + 3000*b236*b594 + 3760*b236*
    b595 + 600*b236*b596 + 10050*b236*b597 + 12596*b236*b598 + 2010*b236*b599
     + 10792*b236*b600 + 2982*b236*b601 + 5680*b236*b602 + 9514*b236*b603 + 
    2840*b236*b604 + 5822*b236*b605 + 12070*b236*b606 + 7384*b236*b607 + 9656*
    b236*b608 + 142*b236*b609 + 2982*b236*b610 + 5964*b236*b611 + 4118*b236*
    b613 + 13348*b236*b614 + 11644*b236*b615 + 4118*b236*b616 + 426*b236*b617
     + 426*b236*b618 + 7242*b236*b619 + 9514*b236*b620 + 5538*b236*b621 + 2130*
    b236*b622 + 2556*b236*b623 + 5550*b236*b624 + 6956*b236*b625 + 1110*b236*
    b626 + 3648*b237*b245 + 1920*b237*b246 + 3648*b237*b247 + 2592*b237*b248 + 
    4512*b237*b249 + 4128*b237*b250 + 2976*b237*b251 + 4032*b237*b252 + 1632*
    b237*b253 + 1296*b237*b254 + 4368*b237*b255 + 4320*b237*b256 + 1728*b237*
    b257 + 1392*b237*b258 + 2016*b237*b260 + 1104*b237*b261 + 2976*b237*b262 + 
    2976*b237*b263 + 1344*b237*b264 + 3648*b237*b265 + 3168*b237*b266 + 12008*
    b237*b267 + 6320*b237*b268 + 12008*b237*b269 + 8532*b237*b270 + 14852*b237*
    b271 + 13588*b237*b272 + 9796*b237*b273 + 13272*b237*b274 + 5372*b237*b275
     + 4266*b237*b276 + 14378*b237*b277 + 14220*b237*b278 + 5688*b237*b279 + 
    4582*b237*b280 + 6636*b237*b282 + 3634*b237*b283 + 9796*b237*b284 + 9796*
    b237*b285 + 4424*b237*b286 + 12008*b237*b287 + 10428*b237*b288 + 10640*b237
    *b289 + 5600*b237*b290 + 10640*b237*b291 + 7560*b237*b292 + 13160*b237*b293
     + 12040*b237*b294 + 8680*b237*b295 + 11760*b237*b296 + 4760*b237*b297 + 
    3780*b237*b298 + 12740*b237*b299 + 12600*b237*b300 + 5040*b237*b301 + 4060*
    b237*b302 + 5880*b237*b304 + 3220*b237*b305 + 8680*b237*b306 + 8680*b237*
    b307 + 3920*b237*b308 + 10640*b237*b309 + 9240*b237*b310 + 4256*b237*b311
     + 2240*b237*b312 + 4256*b237*b313 + 3024*b237*b314 + 5264*b237*b315 + 4816
    *b237*b316 + 3472*b237*b317 + 4704*b237*b318 + 1904*b237*b319 + 1512*b237*
    b320 + 5096*b237*b321 + 5040*b237*b322 + 2016*b237*b323 + 1624*b237*b324 + 
    2352*b237*b326 + 1288*b237*b327 + 3472*b237*b328 + 3472*b237*b329 + 1568*
    b237*b330 + 4256*b237*b331 + 3696*b237*b332 + 2888*b237*b333 + 1520*b237*
    b334 + 2888*b237*b335 + 2052*b237*b336 + 3572*b237*b337 + 3268*b237*b338 + 
    2356*b237*b339 + 3192*b237*b340 + 1292*b237*b341 + 1026*b237*b342 + 3458*
    b237*b343 + 3420*b237*b344 + 1368*b237*b345 + 1102*b237*b346 + 1596*b237*
    b348 + 874*b237*b349 + 2356*b237*b350 + 2356*b237*b351 + 1064*b237*b352 + 
    2888*b237*b353 + 2508*b237*b354 + 13224*b237*b355 + 6960*b237*b356 + 13224*
    b237*b357 + 9396*b237*b358 + 16356*b237*b359 + 14964*b237*b360 + 10788*b237
    *b361 + 14616*b237*b362 + 5916*b237*b363 + 4698*b237*b364 + 15834*b237*b365
     + 15660*b237*b366 + 6264*b237*b367 + 5046*b237*b368 + 7308*b237*b370 + 
    4002*b237*b371 + 10788*b237*b372 + 10788*b237*b373 + 4872*b237*b374 + 13224
    *b237*b375 + 11484*b237*b376 + 12160*b237*b377 + 6400*b237*b378 + 12160*
    b237*b379 + 8640*b237*b380 + 15040*b237*b381 + 13760*b237*b382 + 9920*b237*
    b383 + 13440*b237*b384 + 5440*b237*b385 + 4320*b237*b386 + 14560*b237*b387
     + 14400*b237*b388 + 5760*b237*b389 + 4640*b237*b390 + 6720*b237*b392 + 
    3680*b237*b393 + 9920*b237*b394 + 9920*b237*b395 + 4480*b237*b396 + 12160*
    b237*b397 + 10560*b237*b398 + 608*b237*b399 + 320*b237*b400 + 608*b237*b401
     + 432*b237*b402 + 752*b237*b403 + 688*b237*b404 + 496*b237*b405 + 672*b237
    *b406 + 272*b237*b407 + 216*b237*b408 + 728*b237*b409 + 720*b237*b410 + 288
    *b237*b411 + 232*b237*b412 + 336*b237*b414 + 184*b237*b415 + 496*b237*b416
     + 496*b237*b417 + 224*b237*b418 + 608*b237*b419 + 528*b237*b420 + 3192*
    b237*b421 + 1680*b237*b422 + 3192*b237*b423 + 2268*b237*b424 + 3948*b237*
    b425 + 3612*b237*b426 + 2604*b237*b427 + 3528*b237*b428 + 1428*b237*b429 + 
    1134*b237*b430 + 3822*b237*b431 + 3780*b237*b432 + 1512*b237*b433 + 1218*
    b237*b434 + 1764*b237*b436 + 966*b237*b437 + 2604*b237*b438 + 2604*b237*
    b439 + 1176*b237*b440 + 3192*b237*b441 + 2772*b237*b442 + 5168*b237*b443 + 
    2720*b237*b444 + 5168*b237*b445 + 3672*b237*b446 + 6392*b237*b447 + 5848*
    b237*b448 + 4216*b237*b449 + 5712*b237*b450 + 2312*b237*b451 + 1836*b237*
    b452 + 6188*b237*b453 + 6120*b237*b454 + 2448*b237*b455 + 1972*b237*b456 + 
    2856*b237*b458 + 1564*b237*b459 + 4216*b237*b460 + 4216*b237*b461 + 1904*
    b237*b462 + 5168*b237*b463 + 4488*b237*b464 + 1824*b237*b465 + 960*b237*
    b466 + 1824*b237*b467 + 1296*b237*b468 + 2256*b237*b469 + 2064*b237*b470 + 
    1488*b237*b471 + 2016*b237*b472 + 816*b237*b473 + 648*b237*b474 + 2184*b237
    *b475 + 2160*b237*b476 + 864*b237*b477 + 696*b237*b478 + 1008*b237*b480 + 
    552*b237*b481 + 1488*b237*b482 + 1488*b237*b483 + 672*b237*b484 + 1824*b237
    *b485 + 1584*b237*b486 + 3040*b237*b487 + 1600*b237*b488 + 3040*b237*b489
     + 2160*b237*b490 + 3760*b237*b491 + 3440*b237*b492 + 2480*b237*b493 + 3360
    *b237*b494 + 1360*b237*b495 + 1080*b237*b496 + 3640*b237*b497 + 3600*b237*
    b498 + 1440*b237*b499 + 1160*b237*b500 + 1680*b237*b502 + 920*b237*b503 + 
    2480*b237*b504 + 2480*b237*b505 + 1120*b237*b506 + 3040*b237*b507 + 2640*
    b237*b508 + 10184*b237*b509 + 5360*b237*b510 + 10184*b237*b511 + 7236*b237*
    b512 + 12596*b237*b513 + 11524*b237*b514 + 8308*b237*b515 + 11256*b237*b516
     + 4556*b237*b517 + 3618*b237*b518 + 12194*b237*b519 + 12060*b237*b520 + 
    4824*b237*b521 + 3886*b237*b522 + 5628*b237*b524 + 3082*b237*b525 + 8308*
    b237*b526 + 8308*b237*b527 + 3752*b237*b528 + 10184*b237*b529 + 8844*b237*
    b530 + 10428*b237*b531 + 8712*b237*b532 + 10824*b237*b533 + 4266*b237*b534
     + 3564*b237*b535 + 4428*b237*b536 + 7742*b237*b537 + 6468*b237*b538 + 8036
    *b237*b539 + 15642*b237*b540 + 13068*b237*b541 + 16236*b237*b542 + 14378*
    b237*b543 + 12012*b237*b544 + 14924*b237*b545 + 11376*b237*b546 + 9504*b237
    *b547 + 11808*b237*b548 + 4582*b237*b549 + 3828*b237*b550 + 4756*b237*b551
     + 12798*b237*b552 + 10692*b237*b553 + 13284*b237*b554 + 7268*b237*b555 + 
    6072*b237*b556 + 7544*b237*b557 + 3792*b237*b561 + 3168*b237*b562 + 3936*
    b237*b563 + 12482*b237*b564 + 10428*b237*b565 + 12956*b237*b566 + 11060*
    b237*b567 + 9240*b237*b568 + 11480*b237*b569 + 4424*b237*b570 + 3696*b237*
    b571 + 4592*b237*b572 + 3002*b237*b573 + 2508*b237*b574 + 3116*b237*b575 + 
    13746*b237*b576 + 11484*b237*b577 + 14268*b237*b578 + 12640*b237*b579 + 
    10560*b237*b580 + 13120*b237*b581 + 632*b237*b582 + 528*b237*b583 + 656*
    b237*b584 + 3318*b237*b585 + 2772*b237*b586 + 3444*b237*b587 + 5372*b237*
    b588 + 4488*b237*b589 + 5576*b237*b590 + 1896*b237*b591 + 1584*b237*b592 + 
    1968*b237*b593 + 3160*b237*b594 + 2640*b237*b595 + 3280*b237*b596 + 10586*
    b237*b597 + 8844*b237*b598 + 10988*b237*b599 + 5680*b237*b600 + 10792*b237*
    b601 + 7668*b237*b602 + 13348*b237*b603 + 12212*b237*b604 + 8804*b237*b605
     + 11928*b237*b606 + 4828*b237*b607 + 3834*b237*b608 + 12922*b237*b609 + 
    12780*b237*b610 + 5112*b237*b611 + 4118*b237*b612 + 9372*b237*b614 + 5964*
    b237*b615 + 3266*b237*b616 + 8804*b237*b617 + 8804*b237*b618 + 3976*b237*
    b619 + 10792*b237*b620 + 9372*b237*b621 + 11644*b237*b622 + 10792*b237*b623
     + 5846*b237*b624 + 4884*b237*b625 + 6068*b237*b626 + 864*b238*b245 + 2688*
    b238*b246 + 2112*b238*b247 + 672*b238*b248 + 96*b238*b249 + 3696*b238*b250
     + 1200*b238*b251 + 1824*b238*b252 + 1920*b238*b253 + 288*b238*b254 + 4176*
    b238*b255 + 2256*b238*b256 + 336*b238*b257 + 3936*b238*b258 + 2016*b238*
    b259 + 4128*b238*b261 + 2880*b238*b262 + 2976*b238*b263 + 2976*b238*b264 + 
    3984*b238*b265 + 4368*b238*b266 + 2844*b238*b267 + 8848*b238*b268 + 6952*
    b238*b269 + 2212*b238*b270 + 316*b238*b271 + 12166*b238*b272 + 3950*b238*
    b273 + 6004*b238*b274 + 6320*b238*b275 + 948*b238*b276 + 13746*b238*b277 + 
    7426*b238*b278 + 1106*b238*b279 + 12956*b238*b280 + 6636*b238*b281 + 13588*
    b238*b283 + 9480*b238*b284 + 9796*b238*b285 + 9796*b238*b286 + 13114*b238*
    b287 + 14378*b238*b288 + 2520*b238*b289 + 7840*b238*b290 + 6160*b238*b291
     + 1960*b238*b292 + 280*b238*b293 + 10780*b238*b294 + 3500*b238*b295 + 5320
    *b238*b296 + 5600*b238*b297 + 840*b238*b298 + 12180*b238*b299 + 6580*b238*
    b300 + 980*b238*b301 + 11480*b238*b302 + 5880*b238*b303 + 12040*b238*b305
     + 8400*b238*b306 + 8680*b238*b307 + 8680*b238*b308 + 11620*b238*b309 + 
    12740*b238*b310 + 1008*b238*b311 + 3136*b238*b312 + 2464*b238*b313 + 784*
    b238*b314 + 112*b238*b315 + 4312*b238*b316 + 1400*b238*b317 + 2128*b238*
    b318 + 2240*b238*b319 + 336*b238*b320 + 4872*b238*b321 + 2632*b238*b322 + 
    392*b238*b323 + 4592*b238*b324 + 2352*b238*b325 + 4816*b238*b327 + 3360*
    b238*b328 + 3472*b238*b329 + 3472*b238*b330 + 4648*b238*b331 + 5096*b238*
    b332 + 684*b238*b333 + 2128*b238*b334 + 1672*b238*b335 + 532*b238*b336 + 76
    *b238*b337 + 2926*b238*b338 + 950*b238*b339 + 1444*b238*b340 + 1520*b238*
    b341 + 228*b238*b342 + 3306*b238*b343 + 1786*b238*b344 + 266*b238*b345 + 
    3116*b238*b346 + 1596*b238*b347 + 3268*b238*b349 + 2280*b238*b350 + 2356*
    b238*b351 + 2356*b238*b352 + 3154*b238*b353 + 3458*b238*b354 + 3132*b238*
    b355 + 9744*b238*b356 + 7656*b238*b357 + 2436*b238*b358 + 348*b238*b359 + 
    13398*b238*b360 + 4350*b238*b361 + 6612*b238*b362 + 6960*b238*b363 + 1044*
    b238*b364 + 15138*b238*b365 + 8178*b238*b366 + 1218*b238*b367 + 14268*b238*
    b368 + 7308*b238*b369 + 14964*b238*b371 + 10440*b238*b372 + 10788*b238*b373
     + 10788*b238*b374 + 14442*b238*b375 + 15834*b238*b376 + 2880*b238*b377 + 
    8960*b238*b378 + 7040*b238*b379 + 2240*b238*b380 + 320*b238*b381 + 12320*
    b238*b382 + 4000*b238*b383 + 6080*b238*b384 + 6400*b238*b385 + 960*b238*
    b386 + 13920*b238*b387 + 7520*b238*b388 + 1120*b238*b389 + 13120*b238*b390
     + 6720*b238*b391 + 13760*b238*b393 + 9600*b238*b394 + 9920*b238*b395 + 
    9920*b238*b396 + 13280*b238*b397 + 14560*b238*b398 + 144*b238*b399 + 448*
    b238*b400 + 352*b238*b401 + 112*b238*b402 + 16*b238*b403 + 616*b238*b404 + 
    200*b238*b405 + 304*b238*b406 + 320*b238*b407 + 48*b238*b408 + 696*b238*
    b409 + 376*b238*b410 + 56*b238*b411 + 656*b238*b412 + 336*b238*b413 + 688*
    b238*b415 + 480*b238*b416 + 496*b238*b417 + 496*b238*b418 + 664*b238*b419
     + 728*b238*b420 + 756*b238*b421 + 2352*b238*b422 + 1848*b238*b423 + 588*
    b238*b424 + 84*b238*b425 + 3234*b238*b426 + 1050*b238*b427 + 1596*b238*b428
     + 1680*b238*b429 + 252*b238*b430 + 3654*b238*b431 + 1974*b238*b432 + 294*
    b238*b433 + 3444*b238*b434 + 1764*b238*b435 + 3612*b238*b437 + 2520*b238*
    b438 + 2604*b238*b439 + 2604*b238*b440 + 3486*b238*b441 + 3822*b238*b442 + 
    1224*b238*b443 + 3808*b238*b444 + 2992*b238*b445 + 952*b238*b446 + 136*b238
    *b447 + 5236*b238*b448 + 1700*b238*b449 + 2584*b238*b450 + 2720*b238*b451
     + 408*b238*b452 + 5916*b238*b453 + 3196*b238*b454 + 476*b238*b455 + 5576*
    b238*b456 + 2856*b238*b457 + 5848*b238*b459 + 4080*b238*b460 + 4216*b238*
    b461 + 4216*b238*b462 + 5644*b238*b463 + 6188*b238*b464 + 432*b238*b465 + 
    1344*b238*b466 + 1056*b238*b467 + 336*b238*b468 + 48*b238*b469 + 1848*b238*
    b470 + 600*b238*b471 + 912*b238*b472 + 960*b238*b473 + 144*b238*b474 + 2088
    *b238*b475 + 1128*b238*b476 + 168*b238*b477 + 1968*b238*b478 + 1008*b238*
    b479 + 2064*b238*b481 + 1440*b238*b482 + 1488*b238*b483 + 1488*b238*b484 + 
    1992*b238*b485 + 2184*b238*b486 + 720*b238*b487 + 2240*b238*b488 + 1760*
    b238*b489 + 560*b238*b490 + 80*b238*b491 + 3080*b238*b492 + 1000*b238*b493
     + 1520*b238*b494 + 1600*b238*b495 + 240*b238*b496 + 3480*b238*b497 + 1880*
    b238*b498 + 280*b238*b499 + 3280*b238*b500 + 1680*b238*b501 + 3440*b238*
    b503 + 2400*b238*b504 + 2480*b238*b505 + 2480*b238*b506 + 3320*b238*b507 + 
    3640*b238*b508 + 2412*b238*b509 + 7504*b238*b510 + 5896*b238*b511 + 1876*
    b238*b512 + 268*b238*b513 + 10318*b238*b514 + 3350*b238*b515 + 5092*b238*
    b516 + 5360*b238*b517 + 804*b238*b518 + 11658*b238*b519 + 6298*b238*b520 + 
    938*b238*b521 + 10988*b238*b522 + 5628*b238*b523 + 11524*b238*b525 + 8040*
    b238*b526 + 8308*b238*b527 + 8308*b238*b528 + 11122*b238*b529 + 12194*b238*
    b530 + 11748*b238*b531 + 12936*b238*b532 + 7524*b238*b533 + 4806*b238*b534
     + 5292*b238*b535 + 3078*b238*b536 + 8722*b238*b537 + 9604*b238*b538 + 5586
    *b238*b539 + 17622*b238*b540 + 19404*b238*b541 + 11286*b238*b542 + 16198*
    b238*b543 + 17836*b238*b544 + 10374*b238*b545 + 12816*b238*b546 + 14112*
    b238*b547 + 8208*b238*b548 + 5162*b238*b549 + 5684*b238*b550 + 3306*b238*
    b551 + 14418*b238*b552 + 15876*b238*b553 + 9234*b238*b554 + 8188*b238*b555
     + 9016*b238*b556 + 5244*b238*b557 + 4272*b238*b561 + 4704*b238*b562 + 2736
    *b238*b563 + 14062*b238*b564 + 15484*b238*b565 + 9006*b238*b566 + 12460*
    b238*b567 + 13720*b238*b568 + 7980*b238*b569 + 4984*b238*b570 + 5488*b238*
    b571 + 3192*b238*b572 + 3382*b238*b573 + 3724*b238*b574 + 2166*b238*b575 + 
    15486*b238*b576 + 17052*b238*b577 + 9918*b238*b578 + 14240*b238*b579 + 
    15680*b238*b580 + 9120*b238*b581 + 712*b238*b582 + 784*b238*b583 + 456*b238
    *b584 + 3738*b238*b585 + 4116*b238*b586 + 2394*b238*b587 + 6052*b238*b588
     + 6664*b238*b589 + 3876*b238*b590 + 2136*b238*b591 + 2352*b238*b592 + 1368
    *b238*b593 + 3560*b238*b594 + 3920*b238*b595 + 2280*b238*b596 + 11926*b238*
    b597 + 13132*b238*b598 + 7638*b238*b599 + 7952*b238*b600 + 6248*b238*b601
     + 1988*b238*b602 + 284*b238*b603 + 10934*b238*b604 + 3550*b238*b605 + 5396
    *b238*b606 + 5680*b238*b607 + 852*b238*b608 + 12354*b238*b609 + 6674*b238*
    b610 + 994*b238*b611 + 11644*b238*b612 + 5964*b238*b613 + 13916*b238*b614
     + 12212*b238*b616 + 8520*b238*b617 + 8804*b238*b618 + 8804*b238*b619 + 
    11786*b238*b620 + 12922*b238*b621 + 8094*b238*b622 + 2556*b238*b623 + 6586*
    b238*b624 + 7252*b238*b625 + 4218*b238*b626 + 2736*b239*b245 + 48*b239*b246
     + 4080*b239*b247 + 3408*b239*b248 + 480*b239*b249 + 720*b239*b250 + 3600*
    b239*b251 + 1968*b239*b252 + 3312*b239*b253 + 3216*b239*b254 + 3456*b239*
    b255 + 1200*b239*b256 + 4032*b239*b257 + 1392*b239*b258 + 1104*b239*b259 + 
    4128*b239*b260 + 2976*b239*b262 + 1728*b239*b263 + 96*b239*b264 + 96*b239*
    b265 + 2064*b239*b266 + 9006*b239*b267 + 158*b239*b268 + 13430*b239*b269 + 
    11218*b239*b270 + 1580*b239*b271 + 2370*b239*b272 + 11850*b239*b273 + 6478*
    b239*b274 + 10902*b239*b275 + 10586*b239*b276 + 11376*b239*b277 + 3950*b239
    *b278 + 13272*b239*b279 + 4582*b239*b280 + 3634*b239*b281 + 13588*b239*b282
     + 9796*b239*b284 + 5688*b239*b285 + 316*b239*b286 + 316*b239*b287 + 6794*
    b239*b288 + 7980*b239*b289 + 140*b239*b290 + 11900*b239*b291 + 9940*b239*
    b292 + 1400*b239*b293 + 2100*b239*b294 + 10500*b239*b295 + 5740*b239*b296
     + 9660*b239*b297 + 9380*b239*b298 + 10080*b239*b299 + 3500*b239*b300 + 
    11760*b239*b301 + 4060*b239*b302 + 3220*b239*b303 + 12040*b239*b304 + 8680*
    b239*b306 + 5040*b239*b307 + 280*b239*b308 + 280*b239*b309 + 6020*b239*b310
     + 3192*b239*b311 + 56*b239*b312 + 4760*b239*b313 + 3976*b239*b314 + 560*
    b239*b315 + 840*b239*b316 + 4200*b239*b317 + 2296*b239*b318 + 3864*b239*
    b319 + 3752*b239*b320 + 4032*b239*b321 + 1400*b239*b322 + 4704*b239*b323 + 
    1624*b239*b324 + 1288*b239*b325 + 4816*b239*b326 + 3472*b239*b328 + 2016*
    b239*b329 + 112*b239*b330 + 112*b239*b331 + 2408*b239*b332 + 2166*b239*b333
     + 38*b239*b334 + 3230*b239*b335 + 2698*b239*b336 + 380*b239*b337 + 570*
    b239*b338 + 2850*b239*b339 + 1558*b239*b340 + 2622*b239*b341 + 2546*b239*
    b342 + 2736*b239*b343 + 950*b239*b344 + 3192*b239*b345 + 1102*b239*b346 + 
    874*b239*b347 + 3268*b239*b348 + 2356*b239*b350 + 1368*b239*b351 + 76*b239*
    b352 + 76*b239*b353 + 1634*b239*b354 + 9918*b239*b355 + 174*b239*b356 + 
    14790*b239*b357 + 12354*b239*b358 + 1740*b239*b359 + 2610*b239*b360 + 13050
    *b239*b361 + 7134*b239*b362 + 12006*b239*b363 + 11658*b239*b364 + 12528*
    b239*b365 + 4350*b239*b366 + 14616*b239*b367 + 5046*b239*b368 + 4002*b239*
    b369 + 14964*b239*b370 + 10788*b239*b372 + 6264*b239*b373 + 348*b239*b374
     + 348*b239*b375 + 7482*b239*b376 + 9120*b239*b377 + 160*b239*b378 + 13600*
    b239*b379 + 11360*b239*b380 + 1600*b239*b381 + 2400*b239*b382 + 12000*b239*
    b383 + 6560*b239*b384 + 11040*b239*b385 + 10720*b239*b386 + 11520*b239*b387
     + 4000*b239*b388 + 13440*b239*b389 + 4640*b239*b390 + 3680*b239*b391 + 
    13760*b239*b392 + 9920*b239*b394 + 5760*b239*b395 + 320*b239*b396 + 320*
    b239*b397 + 6880*b239*b398 + 456*b239*b399 + 8*b239*b400 + 680*b239*b401 + 
    568*b239*b402 + 80*b239*b403 + 120*b239*b404 + 600*b239*b405 + 328*b239*
    b406 + 552*b239*b407 + 536*b239*b408 + 576*b239*b409 + 200*b239*b410 + 672*
    b239*b411 + 232*b239*b412 + 184*b239*b413 + 688*b239*b414 + 496*b239*b416
     + 288*b239*b417 + 16*b239*b418 + 16*b239*b419 + 344*b239*b420 + 2394*b239*
    b421 + 42*b239*b422 + 3570*b239*b423 + 2982*b239*b424 + 420*b239*b425 + 630
    *b239*b426 + 3150*b239*b427 + 1722*b239*b428 + 2898*b239*b429 + 2814*b239*
    b430 + 3024*b239*b431 + 1050*b239*b432 + 3528*b239*b433 + 1218*b239*b434 + 
    966*b239*b435 + 3612*b239*b436 + 2604*b239*b438 + 1512*b239*b439 + 84*b239*
    b440 + 84*b239*b441 + 1806*b239*b442 + 3876*b239*b443 + 68*b239*b444 + 5780
    *b239*b445 + 4828*b239*b446 + 680*b239*b447 + 1020*b239*b448 + 5100*b239*
    b449 + 2788*b239*b450 + 4692*b239*b451 + 4556*b239*b452 + 4896*b239*b453 + 
    1700*b239*b454 + 5712*b239*b455 + 1972*b239*b456 + 1564*b239*b457 + 5848*
    b239*b458 + 4216*b239*b460 + 2448*b239*b461 + 136*b239*b462 + 136*b239*b463
     + 2924*b239*b464 + 1368*b239*b465 + 24*b239*b466 + 2040*b239*b467 + 1704*
    b239*b468 + 240*b239*b469 + 360*b239*b470 + 1800*b239*b471 + 984*b239*b472
     + 1656*b239*b473 + 1608*b239*b474 + 1728*b239*b475 + 600*b239*b476 + 2016*
    b239*b477 + 696*b239*b478 + 552*b239*b479 + 2064*b239*b480 + 1488*b239*b482
     + 864*b239*b483 + 48*b239*b484 + 48*b239*b485 + 1032*b239*b486 + 2280*b239
    *b487 + 40*b239*b488 + 3400*b239*b489 + 2840*b239*b490 + 400*b239*b491 + 
    600*b239*b492 + 3000*b239*b493 + 1640*b239*b494 + 2760*b239*b495 + 2680*
    b239*b496 + 2880*b239*b497 + 1000*b239*b498 + 3360*b239*b499 + 1160*b239*
    b500 + 920*b239*b501 + 3440*b239*b502 + 2480*b239*b504 + 1440*b239*b505 + 
    80*b239*b506 + 80*b239*b507 + 1720*b239*b508 + 7638*b239*b509 + 134*b239*
    b510 + 11390*b239*b511 + 9514*b239*b512 + 1340*b239*b513 + 2010*b239*b514
     + 10050*b239*b515 + 5494*b239*b516 + 9246*b239*b517 + 8978*b239*b518 + 
    9648*b239*b519 + 3350*b239*b520 + 11256*b239*b521 + 3886*b239*b522 + 3082*
    b239*b523 + 11524*b239*b524 + 8308*b239*b526 + 4824*b239*b527 + 268*b239*
    b528 + 268*b239*b529 + 5762*b239*b530 + 4620*b239*b531 + 4620*b239*b532 + 
    8580*b239*b533 + 1890*b239*b534 + 1890*b239*b535 + 3510*b239*b536 + 3430*
    b239*b537 + 3430*b239*b538 + 6370*b239*b539 + 6930*b239*b540 + 6930*b239*
    b541 + 12870*b239*b542 + 6370*b239*b543 + 6370*b239*b544 + 11830*b239*b545
     + 5040*b239*b546 + 5040*b239*b547 + 9360*b239*b548 + 2030*b239*b549 + 2030
    *b239*b550 + 3770*b239*b551 + 5670*b239*b552 + 5670*b239*b553 + 10530*b239*
    b554 + 3220*b239*b555 + 3220*b239*b556 + 5980*b239*b557 + 1680*b239*b561 + 
    1680*b239*b562 + 3120*b239*b563 + 5530*b239*b564 + 5530*b239*b565 + 10270*
    b239*b566 + 4900*b239*b567 + 4900*b239*b568 + 9100*b239*b569 + 1960*b239*
    b570 + 1960*b239*b571 + 3640*b239*b572 + 1330*b239*b573 + 1330*b239*b574 + 
    2470*b239*b575 + 6090*b239*b576 + 6090*b239*b577 + 11310*b239*b578 + 5600*
    b239*b579 + 5600*b239*b580 + 10400*b239*b581 + 280*b239*b582 + 280*b239*
    b583 + 520*b239*b584 + 1470*b239*b585 + 1470*b239*b586 + 2730*b239*b587 + 
    2380*b239*b588 + 2380*b239*b589 + 4420*b239*b590 + 840*b239*b591 + 840*b239
    *b592 + 1560*b239*b593 + 1400*b239*b594 + 1400*b239*b595 + 2600*b239*b596
     + 4690*b239*b597 + 4690*b239*b598 + 8710*b239*b599 + 142*b239*b600 + 12070
    *b239*b601 + 10082*b239*b602 + 1420*b239*b603 + 2130*b239*b604 + 10650*b239
    *b605 + 5822*b239*b606 + 9798*b239*b607 + 9514*b239*b608 + 10224*b239*b609
     + 3550*b239*b610 + 11928*b239*b611 + 4118*b239*b612 + 3266*b239*b613 + 
    4970*b239*b614 + 12212*b239*b615 + 8804*b239*b617 + 5112*b239*b618 + 284*
    b239*b619 + 284*b239*b620 + 6106*b239*b621 + 9230*b239*b622 + 8094*b239*
    b623 + 2590*b239*b624 + 2590*b239*b625 + 4810*b239*b626 + 1728*b240*b245 + 
    2400*b240*b246 + 4512*b240*b247 + 3696*b240*b248 + 4752*b240*b249 + 4272*
    b240*b250 + 3648*b240*b251 + 2688*b240*b252 + 576*b240*b253 + 1248*b240*
    b254 + 2160*b240*b255 + 1440*b240*b256 + 288*b240*b257 + 144*b240*b258 + 
    2976*b240*b259 + 2880*b240*b260 + 2976*b240*b261 + 1776*b240*b263 + 2352*
    b240*b264 + 2928*b240*b265 + 240*b240*b266 + 5688*b240*b267 + 7900*b240*
    b268 + 14852*b240*b269 + 12166*b240*b270 + 15642*b240*b271 + 14062*b240*
    b272 + 12008*b240*b273 + 8848*b240*b274 + 1896*b240*b275 + 4108*b240*b276
     + 7110*b240*b277 + 4740*b240*b278 + 948*b240*b279 + 474*b240*b280 + 9796*
    b240*b281 + 9480*b240*b282 + 9796*b240*b283 + 5846*b240*b285 + 7742*b240*
    b286 + 9638*b240*b287 + 790*b240*b288 + 5040*b240*b289 + 7000*b240*b290 + 
    13160*b240*b291 + 10780*b240*b292 + 13860*b240*b293 + 12460*b240*b294 + 
    10640*b240*b295 + 7840*b240*b296 + 1680*b240*b297 + 3640*b240*b298 + 6300*
    b240*b299 + 4200*b240*b300 + 840*b240*b301 + 420*b240*b302 + 8680*b240*b303
     + 8400*b240*b304 + 8680*b240*b305 + 5180*b240*b307 + 6860*b240*b308 + 8540
    *b240*b309 + 700*b240*b310 + 2016*b240*b311 + 2800*b240*b312 + 5264*b240*
    b313 + 4312*b240*b314 + 5544*b240*b315 + 4984*b240*b316 + 4256*b240*b317 + 
    3136*b240*b318 + 672*b240*b319 + 1456*b240*b320 + 2520*b240*b321 + 1680*
    b240*b322 + 336*b240*b323 + 168*b240*b324 + 3472*b240*b325 + 3360*b240*b326
     + 3472*b240*b327 + 2072*b240*b329 + 2744*b240*b330 + 3416*b240*b331 + 280*
    b240*b332 + 1368*b240*b333 + 1900*b240*b334 + 3572*b240*b335 + 2926*b240*
    b336 + 3762*b240*b337 + 3382*b240*b338 + 2888*b240*b339 + 2128*b240*b340 + 
    456*b240*b341 + 988*b240*b342 + 1710*b240*b343 + 1140*b240*b344 + 228*b240*
    b345 + 114*b240*b346 + 2356*b240*b347 + 2280*b240*b348 + 2356*b240*b349 + 
    1406*b240*b351 + 1862*b240*b352 + 2318*b240*b353 + 190*b240*b354 + 6264*
    b240*b355 + 8700*b240*b356 + 16356*b240*b357 + 13398*b240*b358 + 17226*b240
    *b359 + 15486*b240*b360 + 13224*b240*b361 + 9744*b240*b362 + 2088*b240*b363
     + 4524*b240*b364 + 7830*b240*b365 + 5220*b240*b366 + 1044*b240*b367 + 522*
    b240*b368 + 10788*b240*b369 + 10440*b240*b370 + 10788*b240*b371 + 6438*b240
    *b373 + 8526*b240*b374 + 10614*b240*b375 + 870*b240*b376 + 5760*b240*b377
     + 8000*b240*b378 + 15040*b240*b379 + 12320*b240*b380 + 15840*b240*b381 + 
    14240*b240*b382 + 12160*b240*b383 + 8960*b240*b384 + 1920*b240*b385 + 4160*
    b240*b386 + 7200*b240*b387 + 4800*b240*b388 + 960*b240*b389 + 480*b240*b390
     + 9920*b240*b391 + 9600*b240*b392 + 9920*b240*b393 + 5920*b240*b395 + 7840
    *b240*b396 + 9760*b240*b397 + 800*b240*b398 + 288*b240*b399 + 400*b240*b400
     + 752*b240*b401 + 616*b240*b402 + 792*b240*b403 + 712*b240*b404 + 608*b240
    *b405 + 448*b240*b406 + 96*b240*b407 + 208*b240*b408 + 360*b240*b409 + 240*
    b240*b410 + 48*b240*b411 + 24*b240*b412 + 496*b240*b413 + 480*b240*b414 + 
    496*b240*b415 + 296*b240*b417 + 392*b240*b418 + 488*b240*b419 + 40*b240*
    b420 + 1512*b240*b421 + 2100*b240*b422 + 3948*b240*b423 + 3234*b240*b424 + 
    4158*b240*b425 + 3738*b240*b426 + 3192*b240*b427 + 2352*b240*b428 + 504*
    b240*b429 + 1092*b240*b430 + 1890*b240*b431 + 1260*b240*b432 + 252*b240*
    b433 + 126*b240*b434 + 2604*b240*b435 + 2520*b240*b436 + 2604*b240*b437 + 
    1554*b240*b439 + 2058*b240*b440 + 2562*b240*b441 + 210*b240*b442 + 2448*
    b240*b443 + 3400*b240*b444 + 6392*b240*b445 + 5236*b240*b446 + 6732*b240*
    b447 + 6052*b240*b448 + 5168*b240*b449 + 3808*b240*b450 + 816*b240*b451 + 
    1768*b240*b452 + 3060*b240*b453 + 2040*b240*b454 + 408*b240*b455 + 204*b240
    *b456 + 4216*b240*b457 + 4080*b240*b458 + 4216*b240*b459 + 2516*b240*b461
     + 3332*b240*b462 + 4148*b240*b463 + 340*b240*b464 + 864*b240*b465 + 1200*
    b240*b466 + 2256*b240*b467 + 1848*b240*b468 + 2376*b240*b469 + 2136*b240*
    b470 + 1824*b240*b471 + 1344*b240*b472 + 288*b240*b473 + 624*b240*b474 + 
    1080*b240*b475 + 720*b240*b476 + 144*b240*b477 + 72*b240*b478 + 1488*b240*
    b479 + 1440*b240*b480 + 1488*b240*b481 + 888*b240*b483 + 1176*b240*b484 + 
    1464*b240*b485 + 120*b240*b486 + 1440*b240*b487 + 2000*b240*b488 + 3760*
    b240*b489 + 3080*b240*b490 + 3960*b240*b491 + 3560*b240*b492 + 3040*b240*
    b493 + 2240*b240*b494 + 480*b240*b495 + 1040*b240*b496 + 1800*b240*b497 + 
    1200*b240*b498 + 240*b240*b499 + 120*b240*b500 + 2480*b240*b501 + 2400*b240
    *b502 + 2480*b240*b503 + 1480*b240*b505 + 1960*b240*b506 + 2440*b240*b507
     + 200*b240*b508 + 4824*b240*b509 + 6700*b240*b510 + 12596*b240*b511 + 
    10318*b240*b512 + 13266*b240*b513 + 11926*b240*b514 + 10184*b240*b515 + 
    7504*b240*b516 + 1608*b240*b517 + 3484*b240*b518 + 6030*b240*b519 + 4020*
    b240*b520 + 804*b240*b521 + 402*b240*b522 + 8308*b240*b523 + 8040*b240*b524
     + 8308*b240*b525 + 4958*b240*b527 + 6566*b240*b528 + 8174*b240*b529 + 670*
    b240*b530 + 1188*b240*b531 + 1980*b240*b532 + 4488*b240*b533 + 486*b240*
    b534 + 810*b240*b535 + 1836*b240*b536 + 882*b240*b537 + 1470*b240*b538 + 
    3332*b240*b539 + 1782*b240*b540 + 2970*b240*b541 + 6732*b240*b542 + 1638*
    b240*b543 + 2730*b240*b544 + 6188*b240*b545 + 1296*b240*b546 + 2160*b240*
    b547 + 4896*b240*b548 + 522*b240*b549 + 870*b240*b550 + 1972*b240*b551 + 
    1458*b240*b552 + 2430*b240*b553 + 5508*b240*b554 + 828*b240*b555 + 1380*
    b240*b556 + 3128*b240*b557 + 432*b240*b561 + 720*b240*b562 + 1632*b240*b563
     + 1422*b240*b564 + 2370*b240*b565 + 5372*b240*b566 + 1260*b240*b567 + 2100
    *b240*b568 + 4760*b240*b569 + 504*b240*b570 + 840*b240*b571 + 1904*b240*
    b572 + 342*b240*b573 + 570*b240*b574 + 1292*b240*b575 + 1566*b240*b576 + 
    2610*b240*b577 + 5916*b240*b578 + 1440*b240*b579 + 2400*b240*b580 + 5440*
    b240*b581 + 72*b240*b582 + 120*b240*b583 + 272*b240*b584 + 378*b240*b585 + 
    630*b240*b586 + 1428*b240*b587 + 612*b240*b588 + 1020*b240*b589 + 2312*b240
    *b590 + 216*b240*b591 + 360*b240*b592 + 816*b240*b593 + 360*b240*b594 + 600
    *b240*b595 + 1360*b240*b596 + 1206*b240*b597 + 2010*b240*b598 + 4556*b240*
    b599 + 7100*b240*b600 + 13348*b240*b601 + 10934*b240*b602 + 14058*b240*b603
     + 12638*b240*b604 + 10792*b240*b605 + 7952*b240*b606 + 1704*b240*b607 + 
    3692*b240*b608 + 6390*b240*b609 + 4260*b240*b610 + 852*b240*b611 + 426*b240
    *b612 + 8804*b240*b613 + 2130*b240*b614 + 8520*b240*b615 + 8804*b240*b616
     + 5254*b240*b618 + 6958*b240*b619 + 8662*b240*b620 + 710*b240*b621 + 4828*
    b240*b622 + 5112*b240*b623 + 666*b240*b624 + 1110*b240*b625 + 2516*b240*
    b626 + 2928*b241*b245 + 192*b241*b246 + 4320*b241*b247 + 1728*b241*b248 + 
    2688*b241*b249 + 2304*b241*b250 + 1920*b241*b251 + 1872*b241*b252 + 4080*
    b241*b253 + 3936*b241*b254 + 4608*b241*b255 + 2064*b241*b256 + 144*b241*
    b258 + 2976*b241*b259 + 2976*b241*b260 + 1728*b241*b261 + 1776*b241*b262 + 
    2544*b241*b264 + 4608*b241*b265 + 3936*b241*b266 + 9638*b241*b267 + 632*
    b241*b268 + 14220*b241*b269 + 5688*b241*b270 + 8848*b241*b271 + 7584*b241*
    b272 + 6320*b241*b273 + 6162*b241*b274 + 13430*b241*b275 + 12956*b241*b276
     + 15168*b241*b277 + 6794*b241*b278 + 474*b241*b280 + 9796*b241*b281 + 9796
    *b241*b282 + 5688*b241*b283 + 5846*b241*b284 + 8374*b241*b286 + 15168*b241*
    b287 + 12956*b241*b288 + 8540*b241*b289 + 560*b241*b290 + 12600*b241*b291
     + 5040*b241*b292 + 7840*b241*b293 + 6720*b241*b294 + 5600*b241*b295 + 5460
    *b241*b296 + 11900*b241*b297 + 11480*b241*b298 + 13440*b241*b299 + 6020*
    b241*b300 + 420*b241*b302 + 8680*b241*b303 + 8680*b241*b304 + 5040*b241*
    b305 + 5180*b241*b306 + 7420*b241*b308 + 13440*b241*b309 + 11480*b241*b310
     + 3416*b241*b311 + 224*b241*b312 + 5040*b241*b313 + 2016*b241*b314 + 3136*
    b241*b315 + 2688*b241*b316 + 2240*b241*b317 + 2184*b241*b318 + 4760*b241*
    b319 + 4592*b241*b320 + 5376*b241*b321 + 2408*b241*b322 + 168*b241*b324 + 
    3472*b241*b325 + 3472*b241*b326 + 2016*b241*b327 + 2072*b241*b328 + 2968*
    b241*b330 + 5376*b241*b331 + 4592*b241*b332 + 2318*b241*b333 + 152*b241*
    b334 + 3420*b241*b335 + 1368*b241*b336 + 2128*b241*b337 + 1824*b241*b338 + 
    1520*b241*b339 + 1482*b241*b340 + 3230*b241*b341 + 3116*b241*b342 + 3648*
    b241*b343 + 1634*b241*b344 + 114*b241*b346 + 2356*b241*b347 + 2356*b241*
    b348 + 1368*b241*b349 + 1406*b241*b350 + 2014*b241*b352 + 3648*b241*b353 + 
    3116*b241*b354 + 10614*b241*b355 + 696*b241*b356 + 15660*b241*b357 + 6264*
    b241*b358 + 9744*b241*b359 + 8352*b241*b360 + 6960*b241*b361 + 6786*b241*
    b362 + 14790*b241*b363 + 14268*b241*b364 + 16704*b241*b365 + 7482*b241*b366
     + 522*b241*b368 + 10788*b241*b369 + 10788*b241*b370 + 6264*b241*b371 + 
    6438*b241*b372 + 9222*b241*b374 + 16704*b241*b375 + 14268*b241*b376 + 9760*
    b241*b377 + 640*b241*b378 + 14400*b241*b379 + 5760*b241*b380 + 8960*b241*
    b381 + 7680*b241*b382 + 6400*b241*b383 + 6240*b241*b384 + 13600*b241*b385
     + 13120*b241*b386 + 15360*b241*b387 + 6880*b241*b388 + 480*b241*b390 + 
    9920*b241*b391 + 9920*b241*b392 + 5760*b241*b393 + 5920*b241*b394 + 8480*
    b241*b396 + 15360*b241*b397 + 13120*b241*b398 + 488*b241*b399 + 32*b241*
    b400 + 720*b241*b401 + 288*b241*b402 + 448*b241*b403 + 384*b241*b404 + 320*
    b241*b405 + 312*b241*b406 + 680*b241*b407 + 656*b241*b408 + 768*b241*b409
     + 344*b241*b410 + 24*b241*b412 + 496*b241*b413 + 496*b241*b414 + 288*b241*
    b415 + 296*b241*b416 + 424*b241*b418 + 768*b241*b419 + 656*b241*b420 + 2562
    *b241*b421 + 168*b241*b422 + 3780*b241*b423 + 1512*b241*b424 + 2352*b241*
    b425 + 2016*b241*b426 + 1680*b241*b427 + 1638*b241*b428 + 3570*b241*b429 + 
    3444*b241*b430 + 4032*b241*b431 + 1806*b241*b432 + 126*b241*b434 + 2604*
    b241*b435 + 2604*b241*b436 + 1512*b241*b437 + 1554*b241*b438 + 2226*b241*
    b440 + 4032*b241*b441 + 3444*b241*b442 + 4148*b241*b443 + 272*b241*b444 + 
    6120*b241*b445 + 2448*b241*b446 + 3808*b241*b447 + 3264*b241*b448 + 2720*
    b241*b449 + 2652*b241*b450 + 5780*b241*b451 + 5576*b241*b452 + 6528*b241*
    b453 + 2924*b241*b454 + 204*b241*b456 + 4216*b241*b457 + 4216*b241*b458 + 
    2448*b241*b459 + 2516*b241*b460 + 3604*b241*b462 + 6528*b241*b463 + 5576*
    b241*b464 + 1464*b241*b465 + 96*b241*b466 + 2160*b241*b467 + 864*b241*b468
     + 1344*b241*b469 + 1152*b241*b470 + 960*b241*b471 + 936*b241*b472 + 2040*
    b241*b473 + 1968*b241*b474 + 2304*b241*b475 + 1032*b241*b476 + 72*b241*b478
     + 1488*b241*b479 + 1488*b241*b480 + 864*b241*b481 + 888*b241*b482 + 1272*
    b241*b484 + 2304*b241*b485 + 1968*b241*b486 + 2440*b241*b487 + 160*b241*
    b488 + 3600*b241*b489 + 1440*b241*b490 + 2240*b241*b491 + 1920*b241*b492 + 
    1600*b241*b493 + 1560*b241*b494 + 3400*b241*b495 + 3280*b241*b496 + 3840*
    b241*b497 + 1720*b241*b498 + 120*b241*b500 + 2480*b241*b501 + 2480*b241*
    b502 + 1440*b241*b503 + 1480*b241*b504 + 2120*b241*b506 + 3840*b241*b507 + 
    3280*b241*b508 + 8174*b241*b509 + 536*b241*b510 + 12060*b241*b511 + 4824*
    b241*b512 + 7504*b241*b513 + 6432*b241*b514 + 5360*b241*b515 + 5226*b241*
    b516 + 11390*b241*b517 + 10988*b241*b518 + 12864*b241*b519 + 5762*b241*b520
     + 402*b241*b522 + 8308*b241*b523 + 8308*b241*b524 + 4824*b241*b525 + 4958*
    b241*b526 + 7102*b241*b528 + 12864*b241*b529 + 10988*b241*b530 + 132*b241*
    b531 + 2244*b241*b532 + 6336*b241*b533 + 54*b241*b534 + 918*b241*b535 + 
    2592*b241*b536 + 98*b241*b537 + 1666*b241*b538 + 4704*b241*b539 + 198*b241*
    b540 + 3366*b241*b541 + 9504*b241*b542 + 182*b241*b543 + 3094*b241*b544 + 
    8736*b241*b545 + 144*b241*b546 + 2448*b241*b547 + 6912*b241*b548 + 58*b241*
    b549 + 986*b241*b550 + 2784*b241*b551 + 162*b241*b552 + 2754*b241*b553 + 
    7776*b241*b554 + 92*b241*b555 + 1564*b241*b556 + 4416*b241*b557 + 48*b241*
    b561 + 816*b241*b562 + 2304*b241*b563 + 158*b241*b564 + 2686*b241*b565 + 
    7584*b241*b566 + 140*b241*b567 + 2380*b241*b568 + 6720*b241*b569 + 56*b241*
    b570 + 952*b241*b571 + 2688*b241*b572 + 38*b241*b573 + 646*b241*b574 + 1824
    *b241*b575 + 174*b241*b576 + 2958*b241*b577 + 8352*b241*b578 + 160*b241*
    b579 + 2720*b241*b580 + 7680*b241*b581 + 8*b241*b582 + 136*b241*b583 + 384*
    b241*b584 + 42*b241*b585 + 714*b241*b586 + 2016*b241*b587 + 68*b241*b588 + 
    1156*b241*b589 + 3264*b241*b590 + 24*b241*b591 + 408*b241*b592 + 1152*b241*
    b593 + 40*b241*b594 + 680*b241*b595 + 1920*b241*b596 + 134*b241*b597 + 2278
    *b241*b598 + 6432*b241*b599 + 568*b241*b600 + 12780*b241*b601 + 5112*b241*
    b602 + 7952*b241*b603 + 6816*b241*b604 + 5680*b241*b605 + 5538*b241*b606 + 
    12070*b241*b607 + 11644*b241*b608 + 13632*b241*b609 + 6106*b241*b610 + 426*
    b241*b612 + 8804*b241*b613 + 2414*b241*b614 + 8804*b241*b615 + 5112*b241*
    b616 + 5254*b241*b617 + 7526*b241*b619 + 13632*b241*b620 + 11644*b241*b621
     + 6816*b241*b622 + 8662*b241*b623 + 74*b241*b624 + 1258*b241*b625 + 3552*
    b241*b626 + 1728*b242*b245 + 1728*b242*b246 + 2448*b242*b247 + 2544*b242*
    b248 + 3360*b242*b249 + 672*b242*b250 + 3168*b242*b251 + 2544*b242*b252 + 
    3456*b242*b253 + 2112*b242*b254 + 336*b242*b255 + 4656*b242*b256 + 2448*
    b242*b258 + 1344*b242*b259 + 2976*b242*b260 + 96*b242*b261 + 2352*b242*b262
     + 2544*b242*b263 + 1344*b242*b265 + 1488*b242*b266 + 5688*b242*b267 + 5688
    *b242*b268 + 8058*b242*b269 + 8374*b242*b270 + 11060*b242*b271 + 2212*b242*
    b272 + 10428*b242*b273 + 8374*b242*b274 + 11376*b242*b275 + 6952*b242*b276
     + 1106*b242*b277 + 15326*b242*b278 + 8058*b242*b280 + 4424*b242*b281 + 
    9796*b242*b282 + 316*b242*b283 + 7742*b242*b284 + 8374*b242*b285 + 4424*
    b242*b287 + 4898*b242*b288 + 5040*b242*b289 + 5040*b242*b290 + 7140*b242*
    b291 + 7420*b242*b292 + 9800*b242*b293 + 1960*b242*b294 + 9240*b242*b295 + 
    7420*b242*b296 + 10080*b242*b297 + 6160*b242*b298 + 980*b242*b299 + 13580*
    b242*b300 + 7140*b242*b302 + 3920*b242*b303 + 8680*b242*b304 + 280*b242*
    b305 + 6860*b242*b306 + 7420*b242*b307 + 3920*b242*b309 + 4340*b242*b310 + 
    2016*b242*b311 + 2016*b242*b312 + 2856*b242*b313 + 2968*b242*b314 + 3920*
    b242*b315 + 784*b242*b316 + 3696*b242*b317 + 2968*b242*b318 + 4032*b242*
    b319 + 2464*b242*b320 + 392*b242*b321 + 5432*b242*b322 + 2856*b242*b324 + 
    1568*b242*b325 + 3472*b242*b326 + 112*b242*b327 + 2744*b242*b328 + 2968*
    b242*b329 + 1568*b242*b331 + 1736*b242*b332 + 1368*b242*b333 + 1368*b242*
    b334 + 1938*b242*b335 + 2014*b242*b336 + 2660*b242*b337 + 532*b242*b338 + 
    2508*b242*b339 + 2014*b242*b340 + 2736*b242*b341 + 1672*b242*b342 + 266*
    b242*b343 + 3686*b242*b344 + 1938*b242*b346 + 1064*b242*b347 + 2356*b242*
    b348 + 76*b242*b349 + 1862*b242*b350 + 2014*b242*b351 + 1064*b242*b353 + 
    1178*b242*b354 + 6264*b242*b355 + 6264*b242*b356 + 8874*b242*b357 + 9222*
    b242*b358 + 12180*b242*b359 + 2436*b242*b360 + 11484*b242*b361 + 9222*b242*
    b362 + 12528*b242*b363 + 7656*b242*b364 + 1218*b242*b365 + 16878*b242*b366
     + 8874*b242*b368 + 4872*b242*b369 + 10788*b242*b370 + 348*b242*b371 + 8526
    *b242*b372 + 9222*b242*b373 + 4872*b242*b375 + 5394*b242*b376 + 5760*b242*
    b377 + 5760*b242*b378 + 8160*b242*b379 + 8480*b242*b380 + 11200*b242*b381
     + 2240*b242*b382 + 10560*b242*b383 + 8480*b242*b384 + 11520*b242*b385 + 
    7040*b242*b386 + 1120*b242*b387 + 15520*b242*b388 + 8160*b242*b390 + 4480*
    b242*b391 + 9920*b242*b392 + 320*b242*b393 + 7840*b242*b394 + 8480*b242*
    b395 + 4480*b242*b397 + 4960*b242*b398 + 288*b242*b399 + 288*b242*b400 + 
    408*b242*b401 + 424*b242*b402 + 560*b242*b403 + 112*b242*b404 + 528*b242*
    b405 + 424*b242*b406 + 576*b242*b407 + 352*b242*b408 + 56*b242*b409 + 776*
    b242*b410 + 408*b242*b412 + 224*b242*b413 + 496*b242*b414 + 16*b242*b415 + 
    392*b242*b416 + 424*b242*b417 + 224*b242*b419 + 248*b242*b420 + 1512*b242*
    b421 + 1512*b242*b422 + 2142*b242*b423 + 2226*b242*b424 + 2940*b242*b425 + 
    588*b242*b426 + 2772*b242*b427 + 2226*b242*b428 + 3024*b242*b429 + 1848*
    b242*b430 + 294*b242*b431 + 4074*b242*b432 + 2142*b242*b434 + 1176*b242*
    b435 + 2604*b242*b436 + 84*b242*b437 + 2058*b242*b438 + 2226*b242*b439 + 
    1176*b242*b441 + 1302*b242*b442 + 2448*b242*b443 + 2448*b242*b444 + 3468*
    b242*b445 + 3604*b242*b446 + 4760*b242*b447 + 952*b242*b448 + 4488*b242*
    b449 + 3604*b242*b450 + 4896*b242*b451 + 2992*b242*b452 + 476*b242*b453 + 
    6596*b242*b454 + 3468*b242*b456 + 1904*b242*b457 + 4216*b242*b458 + 136*
    b242*b459 + 3332*b242*b460 + 3604*b242*b461 + 1904*b242*b463 + 2108*b242*
    b464 + 864*b242*b465 + 864*b242*b466 + 1224*b242*b467 + 1272*b242*b468 + 
    1680*b242*b469 + 336*b242*b470 + 1584*b242*b471 + 1272*b242*b472 + 1728*
    b242*b473 + 1056*b242*b474 + 168*b242*b475 + 2328*b242*b476 + 1224*b242*
    b478 + 672*b242*b479 + 1488*b242*b480 + 48*b242*b481 + 1176*b242*b482 + 
    1272*b242*b483 + 672*b242*b485 + 744*b242*b486 + 1440*b242*b487 + 1440*b242
    *b488 + 2040*b242*b489 + 2120*b242*b490 + 2800*b242*b491 + 560*b242*b492 + 
    2640*b242*b493 + 2120*b242*b494 + 2880*b242*b495 + 1760*b242*b496 + 280*
    b242*b497 + 3880*b242*b498 + 2040*b242*b500 + 1120*b242*b501 + 2480*b242*
    b502 + 80*b242*b503 + 1960*b242*b504 + 2120*b242*b505 + 1120*b242*b507 + 
    1240*b242*b508 + 4824*b242*b509 + 4824*b242*b510 + 6834*b242*b511 + 7102*
    b242*b512 + 9380*b242*b513 + 1876*b242*b514 + 8844*b242*b515 + 7102*b242*
    b516 + 9648*b242*b517 + 5896*b242*b518 + 938*b242*b519 + 12998*b242*b520 + 
    6834*b242*b522 + 3752*b242*b523 + 8308*b242*b524 + 268*b242*b525 + 6566*
    b242*b526 + 7102*b242*b527 + 3752*b242*b529 + 4154*b242*b530 + 11220*b242*
    b531 + 10164*b242*b532 + 9900*b242*b533 + 4590*b242*b534 + 4158*b242*b535
     + 4050*b242*b536 + 8330*b242*b537 + 7546*b242*b538 + 7350*b242*b539 + 
    16830*b242*b540 + 15246*b242*b541 + 14850*b242*b542 + 15470*b242*b543 + 
    14014*b242*b544 + 13650*b242*b545 + 12240*b242*b546 + 11088*b242*b547 + 
    10800*b242*b548 + 4930*b242*b549 + 4466*b242*b550 + 4350*b242*b551 + 13770*
    b242*b552 + 12474*b242*b553 + 12150*b242*b554 + 7820*b242*b555 + 7084*b242*
    b556 + 6900*b242*b557 + 4080*b242*b561 + 3696*b242*b562 + 3600*b242*b563 + 
    13430*b242*b564 + 12166*b242*b565 + 11850*b242*b566 + 11900*b242*b567 + 
    10780*b242*b568 + 10500*b242*b569 + 4760*b242*b570 + 4312*b242*b571 + 4200*
    b242*b572 + 3230*b242*b573 + 2926*b242*b574 + 2850*b242*b575 + 14790*b242*
    b576 + 13398*b242*b577 + 13050*b242*b578 + 13600*b242*b579 + 12320*b242*
    b580 + 12000*b242*b581 + 680*b242*b582 + 616*b242*b583 + 600*b242*b584 + 
    3570*b242*b585 + 3234*b242*b586 + 3150*b242*b587 + 5780*b242*b588 + 5236*
    b242*b589 + 5100*b242*b590 + 2040*b242*b591 + 1848*b242*b592 + 1800*b242*
    b593 + 3400*b242*b594 + 3080*b242*b595 + 3000*b242*b596 + 11390*b242*b597
     + 10318*b242*b598 + 10050*b242*b599 + 5112*b242*b600 + 7242*b242*b601 + 
    7526*b242*b602 + 9940*b242*b603 + 1988*b242*b604 + 9372*b242*b605 + 7526*
    b242*b606 + 10224*b242*b607 + 6248*b242*b608 + 994*b242*b609 + 13774*b242*
    b610 + 7242*b242*b612 + 3976*b242*b613 + 10934*b242*b614 + 8804*b242*b615
     + 284*b242*b616 + 6958*b242*b617 + 7526*b242*b618 + 3976*b242*b620 + 4402*
    b242*b621 + 10650*b242*b622 + 5112*b242*b623 + 6290*b242*b624 + 5698*b242*
    b625 + 5550*b242*b626 + 1008*b243*b245 + 1296*b243*b246 + 144*b243*b247 + 
    1776*b243*b248 + 4752*b243*b249 + 4272*b243*b250 + 2784*b243*b251 + 3696*
    b243*b252 + 336*b243*b253 + 1680*b243*b254 + 4176*b243*b255 + 1584*b243*
    b256 + 2304*b243*b257 + 3216*b243*b258 + 3648*b243*b259 + 3984*b243*b260 + 
    96*b243*b261 + 2928*b243*b262 + 4608*b243*b263 + 1344*b243*b264 + 48*b243*
    b266 + 3318*b243*b267 + 4266*b243*b268 + 474*b243*b269 + 5846*b243*b270 + 
    15642*b243*b271 + 14062*b243*b272 + 9164*b243*b273 + 12166*b243*b274 + 1106
    *b243*b275 + 5530*b243*b276 + 13746*b243*b277 + 5214*b243*b278 + 7584*b243*
    b279 + 10586*b243*b280 + 12008*b243*b281 + 13114*b243*b282 + 316*b243*b283
     + 9638*b243*b284 + 15168*b243*b285 + 4424*b243*b286 + 158*b243*b288 + 2940
    *b243*b289 + 3780*b243*b290 + 420*b243*b291 + 5180*b243*b292 + 13860*b243*
    b293 + 12460*b243*b294 + 8120*b243*b295 + 10780*b243*b296 + 980*b243*b297
     + 4900*b243*b298 + 12180*b243*b299 + 4620*b243*b300 + 6720*b243*b301 + 
    9380*b243*b302 + 10640*b243*b303 + 11620*b243*b304 + 280*b243*b305 + 8540*
    b243*b306 + 13440*b243*b307 + 3920*b243*b308 + 140*b243*b310 + 1176*b243*
    b311 + 1512*b243*b312 + 168*b243*b313 + 2072*b243*b314 + 5544*b243*b315 + 
    4984*b243*b316 + 3248*b243*b317 + 4312*b243*b318 + 392*b243*b319 + 1960*
    b243*b320 + 4872*b243*b321 + 1848*b243*b322 + 2688*b243*b323 + 3752*b243*
    b324 + 4256*b243*b325 + 4648*b243*b326 + 112*b243*b327 + 3416*b243*b328 + 
    5376*b243*b329 + 1568*b243*b330 + 56*b243*b332 + 798*b243*b333 + 1026*b243*
    b334 + 114*b243*b335 + 1406*b243*b336 + 3762*b243*b337 + 3382*b243*b338 + 
    2204*b243*b339 + 2926*b243*b340 + 266*b243*b341 + 1330*b243*b342 + 3306*
    b243*b343 + 1254*b243*b344 + 1824*b243*b345 + 2546*b243*b346 + 2888*b243*
    b347 + 3154*b243*b348 + 76*b243*b349 + 2318*b243*b350 + 3648*b243*b351 + 
    1064*b243*b352 + 38*b243*b354 + 3654*b243*b355 + 4698*b243*b356 + 522*b243*
    b357 + 6438*b243*b358 + 17226*b243*b359 + 15486*b243*b360 + 10092*b243*b361
     + 13398*b243*b362 + 1218*b243*b363 + 6090*b243*b364 + 15138*b243*b365 + 
    5742*b243*b366 + 8352*b243*b367 + 11658*b243*b368 + 13224*b243*b369 + 14442
    *b243*b370 + 348*b243*b371 + 10614*b243*b372 + 16704*b243*b373 + 4872*b243*
    b374 + 174*b243*b376 + 3360*b243*b377 + 4320*b243*b378 + 480*b243*b379 + 
    5920*b243*b380 + 15840*b243*b381 + 14240*b243*b382 + 9280*b243*b383 + 12320
    *b243*b384 + 1120*b243*b385 + 5600*b243*b386 + 13920*b243*b387 + 5280*b243*
    b388 + 7680*b243*b389 + 10720*b243*b390 + 12160*b243*b391 + 13280*b243*b392
     + 320*b243*b393 + 9760*b243*b394 + 15360*b243*b395 + 4480*b243*b396 + 160*
    b243*b398 + 168*b243*b399 + 216*b243*b400 + 24*b243*b401 + 296*b243*b402 + 
    792*b243*b403 + 712*b243*b404 + 464*b243*b405 + 616*b243*b406 + 56*b243*
    b407 + 280*b243*b408 + 696*b243*b409 + 264*b243*b410 + 384*b243*b411 + 536*
    b243*b412 + 608*b243*b413 + 664*b243*b414 + 16*b243*b415 + 488*b243*b416 + 
    768*b243*b417 + 224*b243*b418 + 8*b243*b420 + 882*b243*b421 + 1134*b243*
    b422 + 126*b243*b423 + 1554*b243*b424 + 4158*b243*b425 + 3738*b243*b426 + 
    2436*b243*b427 + 3234*b243*b428 + 294*b243*b429 + 1470*b243*b430 + 3654*
    b243*b431 + 1386*b243*b432 + 2016*b243*b433 + 2814*b243*b434 + 3192*b243*
    b435 + 3486*b243*b436 + 84*b243*b437 + 2562*b243*b438 + 4032*b243*b439 + 
    1176*b243*b440 + 42*b243*b442 + 1428*b243*b443 + 1836*b243*b444 + 204*b243*
    b445 + 2516*b243*b446 + 6732*b243*b447 + 6052*b243*b448 + 3944*b243*b449 + 
    5236*b243*b450 + 476*b243*b451 + 2380*b243*b452 + 5916*b243*b453 + 2244*
    b243*b454 + 3264*b243*b455 + 4556*b243*b456 + 5168*b243*b457 + 5644*b243*
    b458 + 136*b243*b459 + 4148*b243*b460 + 6528*b243*b461 + 1904*b243*b462 + 
    68*b243*b464 + 504*b243*b465 + 648*b243*b466 + 72*b243*b467 + 888*b243*b468
     + 2376*b243*b469 + 2136*b243*b470 + 1392*b243*b471 + 1848*b243*b472 + 168*
    b243*b473 + 840*b243*b474 + 2088*b243*b475 + 792*b243*b476 + 1152*b243*b477
     + 1608*b243*b478 + 1824*b243*b479 + 1992*b243*b480 + 48*b243*b481 + 1464*
    b243*b482 + 2304*b243*b483 + 672*b243*b484 + 24*b243*b486 + 840*b243*b487
     + 1080*b243*b488 + 120*b243*b489 + 1480*b243*b490 + 3960*b243*b491 + 3560*
    b243*b492 + 2320*b243*b493 + 3080*b243*b494 + 280*b243*b495 + 1400*b243*
    b496 + 3480*b243*b497 + 1320*b243*b498 + 1920*b243*b499 + 2680*b243*b500 + 
    3040*b243*b501 + 3320*b243*b502 + 80*b243*b503 + 2440*b243*b504 + 3840*b243
    *b505 + 1120*b243*b506 + 40*b243*b508 + 2814*b243*b509 + 3618*b243*b510 + 
    402*b243*b511 + 4958*b243*b512 + 13266*b243*b513 + 11926*b243*b514 + 7772*
    b243*b515 + 10318*b243*b516 + 938*b243*b517 + 4690*b243*b518 + 11658*b243*
    b519 + 4422*b243*b520 + 6432*b243*b521 + 8978*b243*b522 + 10184*b243*b523
     + 11122*b243*b524 + 268*b243*b525 + 8174*b243*b526 + 12864*b243*b527 + 
    3752*b243*b528 + 134*b243*b530 + 11088*b243*b531 + 5808*b243*b532 + 12540*
    b243*b533 + 4536*b243*b534 + 2376*b243*b535 + 5130*b243*b536 + 8232*b243*
    b537 + 4312*b243*b538 + 9310*b243*b539 + 16632*b243*b540 + 8712*b243*b541
     + 18810*b243*b542 + 15288*b243*b543 + 8008*b243*b544 + 17290*b243*b545 + 
    12096*b243*b546 + 6336*b243*b547 + 13680*b243*b548 + 4872*b243*b549 + 2552*
    b243*b550 + 5510*b243*b551 + 13608*b243*b552 + 7128*b243*b553 + 15390*b243*
    b554 + 7728*b243*b555 + 4048*b243*b556 + 8740*b243*b557 + 4032*b243*b561 + 
    2112*b243*b562 + 4560*b243*b563 + 13272*b243*b564 + 6952*b243*b565 + 15010*
    b243*b566 + 11760*b243*b567 + 6160*b243*b568 + 13300*b243*b569 + 4704*b243*
    b570 + 2464*b243*b571 + 5320*b243*b572 + 3192*b243*b573 + 1672*b243*b574 + 
    3610*b243*b575 + 14616*b243*b576 + 7656*b243*b577 + 16530*b243*b578 + 13440
    *b243*b579 + 7040*b243*b580 + 15200*b243*b581 + 672*b243*b582 + 352*b243*
    b583 + 760*b243*b584 + 3528*b243*b585 + 1848*b243*b586 + 3990*b243*b587 + 
    5712*b243*b588 + 2992*b243*b589 + 6460*b243*b590 + 2016*b243*b591 + 1056*
    b243*b592 + 2280*b243*b593 + 3360*b243*b594 + 1760*b243*b595 + 3800*b243*
    b596 + 11256*b243*b597 + 5896*b243*b598 + 12730*b243*b599 + 3834*b243*b600
     + 426*b243*b601 + 5254*b243*b602 + 14058*b243*b603 + 12638*b243*b604 + 
    8236*b243*b605 + 10934*b243*b606 + 994*b243*b607 + 4970*b243*b608 + 12354*
    b243*b609 + 4686*b243*b610 + 6816*b243*b611 + 9514*b243*b612 + 10792*b243*
    b613 + 6248*b243*b614 + 11786*b243*b615 + 284*b243*b616 + 8662*b243*b617 + 
    13632*b243*b618 + 3976*b243*b619 + 142*b243*b621 + 13490*b243*b622 + 2982*
    b243*b623 + 6216*b243*b624 + 3256*b243*b625 + 7030*b243*b626 + 3408*b244*
    b245 + 4080*b244*b246 + 2304*b244*b247 + 1248*b244*b248 + 2880*b244*b249 + 
    2112*b244*b250 + 1440*b244*b251 + 2400*b244*b252 + 2352*b244*b253 + 144*
    b244*b254 + 3264*b244*b255 + 1680*b244*b256 + 2976*b244*b257 + 1872*b244*
    b258 + 3168*b244*b259 + 4368*b244*b260 + 2064*b244*b261 + 240*b244*b262 + 
    3936*b244*b263 + 1488*b244*b264 + 48*b244*b265 + 11218*b244*b267 + 13430*
    b244*b268 + 7584*b244*b269 + 4108*b244*b270 + 9480*b244*b271 + 6952*b244*
    b272 + 4740*b244*b273 + 7900*b244*b274 + 7742*b244*b275 + 474*b244*b276 + 
    10744*b244*b277 + 5530*b244*b278 + 9796*b244*b279 + 6162*b244*b280 + 10428*
    b244*b281 + 14378*b244*b282 + 6794*b244*b283 + 790*b244*b284 + 12956*b244*
    b285 + 4898*b244*b286 + 158*b244*b287 + 9940*b244*b289 + 11900*b244*b290 + 
    6720*b244*b291 + 3640*b244*b292 + 8400*b244*b293 + 6160*b244*b294 + 4200*
    b244*b295 + 7000*b244*b296 + 6860*b244*b297 + 420*b244*b298 + 9520*b244*
    b299 + 4900*b244*b300 + 8680*b244*b301 + 5460*b244*b302 + 9240*b244*b303 + 
    12740*b244*b304 + 6020*b244*b305 + 700*b244*b306 + 11480*b244*b307 + 4340*
    b244*b308 + 140*b244*b309 + 3976*b244*b311 + 4760*b244*b312 + 2688*b244*
    b313 + 1456*b244*b314 + 3360*b244*b315 + 2464*b244*b316 + 1680*b244*b317 + 
    2800*b244*b318 + 2744*b244*b319 + 168*b244*b320 + 3808*b244*b321 + 1960*
    b244*b322 + 3472*b244*b323 + 2184*b244*b324 + 3696*b244*b325 + 5096*b244*
    b326 + 2408*b244*b327 + 280*b244*b328 + 4592*b244*b329 + 1736*b244*b330 + 
    56*b244*b331 + 2698*b244*b333 + 3230*b244*b334 + 1824*b244*b335 + 988*b244*
    b336 + 2280*b244*b337 + 1672*b244*b338 + 1140*b244*b339 + 1900*b244*b340 + 
    1862*b244*b341 + 114*b244*b342 + 2584*b244*b343 + 1330*b244*b344 + 2356*
    b244*b345 + 1482*b244*b346 + 2508*b244*b347 + 3458*b244*b348 + 1634*b244*
    b349 + 190*b244*b350 + 3116*b244*b351 + 1178*b244*b352 + 38*b244*b353 + 
    12354*b244*b355 + 14790*b244*b356 + 8352*b244*b357 + 4524*b244*b358 + 10440
    *b244*b359 + 7656*b244*b360 + 5220*b244*b361 + 8700*b244*b362 + 8526*b244*
    b363 + 522*b244*b364 + 11832*b244*b365 + 6090*b244*b366 + 10788*b244*b367
     + 6786*b244*b368 + 11484*b244*b369 + 15834*b244*b370 + 7482*b244*b371 + 
    870*b244*b372 + 14268*b244*b373 + 5394*b244*b374 + 174*b244*b375 + 11360*
    b244*b377 + 13600*b244*b378 + 7680*b244*b379 + 4160*b244*b380 + 9600*b244*
    b381 + 7040*b244*b382 + 4800*b244*b383 + 8000*b244*b384 + 7840*b244*b385 + 
    480*b244*b386 + 10880*b244*b387 + 5600*b244*b388 + 9920*b244*b389 + 6240*
    b244*b390 + 10560*b244*b391 + 14560*b244*b392 + 6880*b244*b393 + 800*b244*
    b394 + 13120*b244*b395 + 4960*b244*b396 + 160*b244*b397 + 568*b244*b399 + 
    680*b244*b400 + 384*b244*b401 + 208*b244*b402 + 480*b244*b403 + 352*b244*
    b404 + 240*b244*b405 + 400*b244*b406 + 392*b244*b407 + 24*b244*b408 + 544*
    b244*b409 + 280*b244*b410 + 496*b244*b411 + 312*b244*b412 + 528*b244*b413
     + 728*b244*b414 + 344*b244*b415 + 40*b244*b416 + 656*b244*b417 + 248*b244*
    b418 + 8*b244*b419 + 2982*b244*b421 + 3570*b244*b422 + 2016*b244*b423 + 
    1092*b244*b424 + 2520*b244*b425 + 1848*b244*b426 + 1260*b244*b427 + 2100*
    b244*b428 + 2058*b244*b429 + 126*b244*b430 + 2856*b244*b431 + 1470*b244*
    b432 + 2604*b244*b433 + 1638*b244*b434 + 2772*b244*b435 + 3822*b244*b436 + 
    1806*b244*b437 + 210*b244*b438 + 3444*b244*b439 + 1302*b244*b440 + 42*b244*
    b441 + 4828*b244*b443 + 5780*b244*b444 + 3264*b244*b445 + 1768*b244*b446 + 
    4080*b244*b447 + 2992*b244*b448 + 2040*b244*b449 + 3400*b244*b450 + 3332*
    b244*b451 + 204*b244*b452 + 4624*b244*b453 + 2380*b244*b454 + 4216*b244*
    b455 + 2652*b244*b456 + 4488*b244*b457 + 6188*b244*b458 + 2924*b244*b459 + 
    340*b244*b460 + 5576*b244*b461 + 2108*b244*b462 + 68*b244*b463 + 1704*b244*
    b465 + 2040*b244*b466 + 1152*b244*b467 + 624*b244*b468 + 1440*b244*b469 + 
    1056*b244*b470 + 720*b244*b471 + 1200*b244*b472 + 1176*b244*b473 + 72*b244*
    b474 + 1632*b244*b475 + 840*b244*b476 + 1488*b244*b477 + 936*b244*b478 + 
    1584*b244*b479 + 2184*b244*b480 + 1032*b244*b481 + 120*b244*b482 + 1968*
    b244*b483 + 744*b244*b484 + 24*b244*b485 + 2840*b244*b487 + 3400*b244*b488
     + 1920*b244*b489 + 1040*b244*b490 + 2400*b244*b491 + 1760*b244*b492 + 1200
    *b244*b493 + 2000*b244*b494 + 1960*b244*b495 + 120*b244*b496 + 2720*b244*
    b497 + 1400*b244*b498 + 2480*b244*b499 + 1560*b244*b500 + 2640*b244*b501 + 
    3640*b244*b502 + 1720*b244*b503 + 200*b244*b504 + 3280*b244*b505 + 1240*
    b244*b506 + 40*b244*b507 + 9514*b244*b509 + 11390*b244*b510 + 6432*b244*
    b511 + 3484*b244*b512 + 8040*b244*b513 + 5896*b244*b514 + 4020*b244*b515 + 
    6700*b244*b516 + 6566*b244*b517 + 402*b244*b518 + 9112*b244*b519 + 4690*
    b244*b520 + 8308*b244*b521 + 5226*b244*b522 + 8844*b244*b523 + 12194*b244*
    b524 + 5762*b244*b525 + 670*b244*b526 + 10988*b244*b527 + 4154*b244*b528 + 
    134*b244*b529 + 1584*b244*b531 + 3432*b244*b532 + 924*b244*b533 + 648*b244*
    b534 + 1404*b244*b535 + 378*b244*b536 + 1176*b244*b537 + 2548*b244*b538 + 
    686*b244*b539 + 2376*b244*b540 + 5148*b244*b541 + 1386*b244*b542 + 2184*
    b244*b543 + 4732*b244*b544 + 1274*b244*b545 + 1728*b244*b546 + 3744*b244*
    b547 + 1008*b244*b548 + 696*b244*b549 + 1508*b244*b550 + 406*b244*b551 + 
    1944*b244*b552 + 4212*b244*b553 + 1134*b244*b554 + 1104*b244*b555 + 2392*
    b244*b556 + 644*b244*b557 + 576*b244*b561 + 1248*b244*b562 + 336*b244*b563
     + 1896*b244*b564 + 4108*b244*b565 + 1106*b244*b566 + 1680*b244*b567 + 3640
    *b244*b568 + 980*b244*b569 + 672*b244*b570 + 1456*b244*b571 + 392*b244*b572
     + 456*b244*b573 + 988*b244*b574 + 266*b244*b575 + 2088*b244*b576 + 4524*
    b244*b577 + 1218*b244*b578 + 1920*b244*b579 + 4160*b244*b580 + 1120*b244*
    b581 + 96*b244*b582 + 208*b244*b583 + 56*b244*b584 + 504*b244*b585 + 1092*
    b244*b586 + 294*b244*b587 + 816*b244*b588 + 1768*b244*b589 + 476*b244*b590
     + 288*b244*b591 + 624*b244*b592 + 168*b244*b593 + 480*b244*b594 + 1040*
    b244*b595 + 280*b244*b596 + 1608*b244*b597 + 3484*b244*b598 + 938*b244*b599
     + 12070*b244*b600 + 6816*b244*b601 + 3692*b244*b602 + 8520*b244*b603 + 
    6248*b244*b604 + 4260*b244*b605 + 7100*b244*b606 + 6958*b244*b607 + 426*
    b244*b608 + 9656*b244*b609 + 4970*b244*b610 + 8804*b244*b611 + 5538*b244*
    b612 + 9372*b244*b613 + 3692*b244*b614 + 12922*b244*b615 + 6106*b244*b616
     + 710*b244*b617 + 11644*b244*b618 + 4402*b244*b619 + 142*b244*b620 + 994*
    b244*b622 + 10082*b244*b623 + 888*b244*b624 + 1924*b244*b625 + 518*b244*
    b626 + 1248*b245*b268 + 4368*b245*b269 + 528*b245*b270 + 1680*b245*b271 + 
    3936*b245*b272 + 1248*b245*b273 + 3312*b245*b274 + 2688*b245*b275 + 4128*
    b245*b276 + 2160*b245*b277 + 4368*b245*b278 + 2832*b245*b279 + 864*b245*
    b280 + 3648*b245*b281 + 864*b245*b282 + 2736*b245*b283 + 1728*b245*b284 + 
    2928*b245*b285 + 1728*b245*b286 + 1008*b245*b287 + 3408*b245*b288 + 4888*
    b245*b290 + 17108*b245*b291 + 2068*b245*b292 + 6580*b245*b293 + 15416*b245*
    b294 + 4888*b245*b295 + 12972*b245*b296 + 10528*b245*b297 + 16168*b245*b298
     + 8460*b245*b299 + 17108*b245*b300 + 11092*b245*b301 + 3384*b245*b302 + 
    14288*b245*b303 + 3384*b245*b304 + 10716*b245*b305 + 6768*b245*b306 + 11468
    *b245*b307 + 6768*b245*b308 + 3948*b245*b309 + 13348*b245*b310 + 520*b245*
    b312 + 1820*b245*b313 + 220*b245*b314 + 700*b245*b315 + 1640*b245*b316 + 
    520*b245*b317 + 1380*b245*b318 + 1120*b245*b319 + 1720*b245*b320 + 900*b245
    *b321 + 1820*b245*b322 + 1180*b245*b323 + 360*b245*b324 + 1520*b245*b325 + 
    360*b245*b326 + 1140*b245*b327 + 720*b245*b328 + 1220*b245*b329 + 720*b245*
    b330 + 420*b245*b331 + 1420*b245*b332 + 3328*b245*b334 + 11648*b245*b335 + 
    1408*b245*b336 + 4480*b245*b337 + 10496*b245*b338 + 3328*b245*b339 + 8832*
    b245*b340 + 7168*b245*b341 + 11008*b245*b342 + 5760*b245*b343 + 11648*b245*
    b344 + 7552*b245*b345 + 2304*b245*b346 + 9728*b245*b347 + 2304*b245*b348 + 
    7296*b245*b349 + 4608*b245*b350 + 7808*b245*b351 + 4608*b245*b352 + 2688*
    b245*b353 + 9088*b245*b354 + 2704*b245*b356 + 9464*b245*b357 + 1144*b245*
    b358 + 3640*b245*b359 + 8528*b245*b360 + 2704*b245*b361 + 7176*b245*b362 + 
    5824*b245*b363 + 8944*b245*b364 + 4680*b245*b365 + 9464*b245*b366 + 6136*
    b245*b367 + 1872*b245*b368 + 7904*b245*b369 + 1872*b245*b370 + 5928*b245*
    b371 + 3744*b245*b372 + 6344*b245*b373 + 3744*b245*b374 + 2184*b245*b375 + 
    7384*b245*b376 + 4784*b245*b378 + 16744*b245*b379 + 2024*b245*b380 + 6440*
    b245*b381 + 15088*b245*b382 + 4784*b245*b383 + 12696*b245*b384 + 10304*b245
    *b385 + 15824*b245*b386 + 8280*b245*b387 + 16744*b245*b388 + 10856*b245*
    b389 + 3312*b245*b390 + 13984*b245*b391 + 3312*b245*b392 + 10488*b245*b393
     + 6624*b245*b394 + 11224*b245*b395 + 6624*b245*b396 + 3864*b245*b397 + 
    13064*b245*b398 + 2548*b245*b400 + 8918*b245*b401 + 1078*b245*b402 + 3430*
    b245*b403 + 8036*b245*b404 + 2548*b245*b405 + 6762*b245*b406 + 5488*b245*
    b407 + 8428*b245*b408 + 4410*b245*b409 + 8918*b245*b410 + 5782*b245*b411 + 
    1764*b245*b412 + 7448*b245*b413 + 1764*b245*b414 + 5586*b245*b415 + 3528*
    b245*b416 + 5978*b245*b417 + 3528*b245*b418 + 2058*b245*b419 + 6958*b245*
    b420 + 3536*b245*b422 + 12376*b245*b423 + 1496*b245*b424 + 4760*b245*b425
     + 11152*b245*b426 + 3536*b245*b427 + 9384*b245*b428 + 7616*b245*b429 + 
    11696*b245*b430 + 6120*b245*b431 + 12376*b245*b432 + 8024*b245*b433 + 2448*
    b245*b434 + 10336*b245*b435 + 2448*b245*b436 + 7752*b245*b437 + 4896*b245*
    b438 + 8296*b245*b439 + 4896*b245*b440 + 2856*b245*b441 + 9656*b245*b442 + 
    3380*b245*b444 + 11830*b245*b445 + 1430*b245*b446 + 4550*b245*b447 + 10660*
    b245*b448 + 3380*b245*b449 + 8970*b245*b450 + 7280*b245*b451 + 11180*b245*
    b452 + 5850*b245*b453 + 11830*b245*b454 + 7670*b245*b455 + 2340*b245*b456
     + 9880*b245*b457 + 2340*b245*b458 + 7410*b245*b459 + 4680*b245*b460 + 7930
    *b245*b461 + 4680*b245*b462 + 2730*b245*b463 + 9230*b245*b464 + 3432*b245*
    b466 + 12012*b245*b467 + 1452*b245*b468 + 4620*b245*b469 + 10824*b245*b470
     + 3432*b245*b471 + 9108*b245*b472 + 7392*b245*b473 + 11352*b245*b474 + 
    5940*b245*b475 + 12012*b245*b476 + 7788*b245*b477 + 2376*b245*b478 + 10032*
    b245*b479 + 2376*b245*b480 + 7524*b245*b481 + 4752*b245*b482 + 8052*b245*
    b483 + 4752*b245*b484 + 2772*b245*b485 + 9372*b245*b486 + 1456*b245*b488 + 
    5096*b245*b489 + 616*b245*b490 + 1960*b245*b491 + 4592*b245*b492 + 1456*
    b245*b493 + 3864*b245*b494 + 3136*b245*b495 + 4816*b245*b496 + 2520*b245*
    b497 + 5096*b245*b498 + 3304*b245*b499 + 1008*b245*b500 + 4256*b245*b501 + 
    1008*b245*b502 + 3192*b245*b503 + 2016*b245*b504 + 3416*b245*b505 + 2016*
    b245*b506 + 1176*b245*b507 + 3976*b245*b508 + 4212*b245*b510 + 14742*b245*
    b511 + 1782*b245*b512 + 5670*b245*b513 + 13284*b245*b514 + 4212*b245*b515
     + 11178*b245*b516 + 9072*b245*b517 + 13932*b245*b518 + 7290*b245*b519 + 
    14742*b245*b520 + 9558*b245*b521 + 2916*b245*b522 + 12312*b245*b523 + 2916*
    b245*b524 + 9234*b245*b525 + 5832*b245*b526 + 9882*b245*b527 + 5832*b245*
    b528 + 3402*b245*b529 + 11502*b245*b530 + 3528*b245*b531 + 6552*b245*b532
     + 1848*b245*b533 + 3906*b245*b534 + 7254*b245*b535 + 2046*b245*b536 + 1008
    *b245*b537 + 1872*b245*b538 + 528*b245*b539 + 1428*b245*b540 + 2652*b245*
    b541 + 748*b245*b542 + 2352*b245*b543 + 4368*b245*b544 + 1232*b245*b545 + 
    1092*b245*b546 + 2028*b245*b547 + 572*b245*b548 + 2688*b245*b549 + 4992*
    b245*b550 + 1408*b245*b551 + 4158*b245*b552 + 7722*b245*b553 + 2178*b245*
    b554 + 2184*b245*b555 + 4056*b245*b556 + 1144*b245*b557 + 1008*b245*b558 + 
    1872*b245*b559 + 528*b245*b560 + 1008*b245*b564 + 1872*b245*b565 + 528*b245
    *b566 + 3948*b245*b567 + 7332*b245*b568 + 2068*b245*b569 + 420*b245*b570 + 
    780*b245*b571 + 220*b245*b572 + 2688*b245*b573 + 4992*b245*b574 + 1408*b245
    *b575 + 2184*b245*b576 + 4056*b245*b577 + 1144*b245*b578 + 3864*b245*b579
     + 7176*b245*b580 + 2024*b245*b581 + 2058*b245*b582 + 3822*b245*b583 + 1078
    *b245*b584 + 2856*b245*b585 + 5304*b245*b586 + 1496*b245*b587 + 2730*b245*
    b588 + 5070*b245*b589 + 1430*b245*b590 + 2772*b245*b591 + 5148*b245*b592 + 
    1452*b245*b593 + 1176*b245*b594 + 2184*b245*b595 + 616*b245*b596 + 3402*
    b245*b597 + 6318*b245*b598 + 1782*b245*b599 + 1820*b245*b600 + 6370*b245*
    b601 + 770*b245*b602 + 2450*b245*b603 + 5740*b245*b604 + 1820*b245*b605 + 
    4830*b245*b606 + 3920*b245*b607 + 6020*b245*b608 + 3150*b245*b609 + 6370*
    b245*b610 + 4130*b245*b611 + 1260*b245*b612 + 5320*b245*b613 + 2730*b245*
    b614 + 1260*b245*b615 + 3990*b245*b616 + 2520*b245*b617 + 4270*b245*b618 + 
    2520*b245*b619 + 1470*b245*b620 + 4970*b245*b621 + 770*b245*b622 + 2814*
    b245*b624 + 5226*b245*b625 + 1474*b245*b626 + 1248*b246*b267 + 1392*b246*
    b269 + 3936*b246*b270 + 3936*b246*b271 + 288*b246*b272 + 3408*b246*b273 + 
    384*b246*b274 + 3696*b246*b275 + 3552*b246*b276 + 1440*b246*b277 + 4272*
    b246*b278 + 3648*b246*b279 + 3648*b246*b280 + 1920*b246*b281 + 2688*b246*
    b282 + 48*b246*b283 + 2400*b246*b284 + 192*b246*b285 + 1728*b246*b286 + 
    1296*b246*b287 + 4080*b246*b288 + 4888*b246*b289 + 5452*b246*b291 + 15416*
    b246*b292 + 15416*b246*b293 + 1128*b246*b294 + 13348*b246*b295 + 1504*b246*
    b296 + 14476*b246*b297 + 13912*b246*b298 + 5640*b246*b299 + 16732*b246*b300
     + 14288*b246*b301 + 14288*b246*b302 + 7520*b246*b303 + 10528*b246*b304 + 
    188*b246*b305 + 9400*b246*b306 + 752*b246*b307 + 6768*b246*b308 + 5076*b246
    *b309 + 15980*b246*b310 + 520*b246*b311 + 580*b246*b313 + 1640*b246*b314 + 
    1640*b246*b315 + 120*b246*b316 + 1420*b246*b317 + 160*b246*b318 + 1540*b246
    *b319 + 1480*b246*b320 + 600*b246*b321 + 1780*b246*b322 + 1520*b246*b323 + 
    1520*b246*b324 + 800*b246*b325 + 1120*b246*b326 + 20*b246*b327 + 1000*b246*
    b328 + 80*b246*b329 + 720*b246*b330 + 540*b246*b331 + 1700*b246*b332 + 3328
    *b246*b333 + 3712*b246*b335 + 10496*b246*b336 + 10496*b246*b337 + 768*b246*
    b338 + 9088*b246*b339 + 1024*b246*b340 + 9856*b246*b341 + 9472*b246*b342 + 
    3840*b246*b343 + 11392*b246*b344 + 9728*b246*b345 + 9728*b246*b346 + 5120*
    b246*b347 + 7168*b246*b348 + 128*b246*b349 + 6400*b246*b350 + 512*b246*b351
     + 4608*b246*b352 + 3456*b246*b353 + 10880*b246*b354 + 2704*b246*b355 + 
    3016*b246*b357 + 8528*b246*b358 + 8528*b246*b359 + 624*b246*b360 + 7384*
    b246*b361 + 832*b246*b362 + 8008*b246*b363 + 7696*b246*b364 + 3120*b246*
    b365 + 9256*b246*b366 + 7904*b246*b367 + 7904*b246*b368 + 4160*b246*b369 + 
    5824*b246*b370 + 104*b246*b371 + 5200*b246*b372 + 416*b246*b373 + 3744*b246
    *b374 + 2808*b246*b375 + 8840*b246*b376 + 4784*b246*b377 + 5336*b246*b379
     + 15088*b246*b380 + 15088*b246*b381 + 1104*b246*b382 + 13064*b246*b383 + 
    1472*b246*b384 + 14168*b246*b385 + 13616*b246*b386 + 5520*b246*b387 + 16376
    *b246*b388 + 13984*b246*b389 + 13984*b246*b390 + 7360*b246*b391 + 10304*
    b246*b392 + 184*b246*b393 + 9200*b246*b394 + 736*b246*b395 + 6624*b246*b396
     + 4968*b246*b397 + 15640*b246*b398 + 2548*b246*b399 + 2842*b246*b401 + 
    8036*b246*b402 + 8036*b246*b403 + 588*b246*b404 + 6958*b246*b405 + 784*b246
    *b406 + 7546*b246*b407 + 7252*b246*b408 + 2940*b246*b409 + 8722*b246*b410
     + 7448*b246*b411 + 7448*b246*b412 + 3920*b246*b413 + 5488*b246*b414 + 98*
    b246*b415 + 4900*b246*b416 + 392*b246*b417 + 3528*b246*b418 + 2646*b246*
    b419 + 8330*b246*b420 + 3536*b246*b421 + 3944*b246*b423 + 11152*b246*b424
     + 11152*b246*b425 + 816*b246*b426 + 9656*b246*b427 + 1088*b246*b428 + 
    10472*b246*b429 + 10064*b246*b430 + 4080*b246*b431 + 12104*b246*b432 + 
    10336*b246*b433 + 10336*b246*b434 + 5440*b246*b435 + 7616*b246*b436 + 136*
    b246*b437 + 6800*b246*b438 + 544*b246*b439 + 4896*b246*b440 + 3672*b246*
    b441 + 11560*b246*b442 + 3380*b246*b443 + 3770*b246*b445 + 10660*b246*b446
     + 10660*b246*b447 + 780*b246*b448 + 9230*b246*b449 + 1040*b246*b450 + 
    10010*b246*b451 + 9620*b246*b452 + 3900*b246*b453 + 11570*b246*b454 + 9880*
    b246*b455 + 9880*b246*b456 + 5200*b246*b457 + 7280*b246*b458 + 130*b246*
    b459 + 6500*b246*b460 + 520*b246*b461 + 4680*b246*b462 + 3510*b246*b463 + 
    11050*b246*b464 + 3432*b246*b465 + 3828*b246*b467 + 10824*b246*b468 + 10824
    *b246*b469 + 792*b246*b470 + 9372*b246*b471 + 1056*b246*b472 + 10164*b246*
    b473 + 9768*b246*b474 + 3960*b246*b475 + 11748*b246*b476 + 10032*b246*b477
     + 10032*b246*b478 + 5280*b246*b479 + 7392*b246*b480 + 132*b246*b481 + 6600
    *b246*b482 + 528*b246*b483 + 4752*b246*b484 + 3564*b246*b485 + 11220*b246*
    b486 + 1456*b246*b487 + 1624*b246*b489 + 4592*b246*b490 + 4592*b246*b491 + 
    336*b246*b492 + 3976*b246*b493 + 448*b246*b494 + 4312*b246*b495 + 4144*b246
    *b496 + 1680*b246*b497 + 4984*b246*b498 + 4256*b246*b499 + 4256*b246*b500
     + 2240*b246*b501 + 3136*b246*b502 + 56*b246*b503 + 2800*b246*b504 + 224*
    b246*b505 + 2016*b246*b506 + 1512*b246*b507 + 4760*b246*b508 + 4212*b246*
    b509 + 4698*b246*b511 + 13284*b246*b512 + 13284*b246*b513 + 972*b246*b514
     + 11502*b246*b515 + 1296*b246*b516 + 12474*b246*b517 + 11988*b246*b518 + 
    4860*b246*b519 + 14418*b246*b520 + 12312*b246*b521 + 12312*b246*b522 + 6480
    *b246*b523 + 9072*b246*b524 + 162*b246*b525 + 8100*b246*b526 + 648*b246*
    b527 + 5832*b246*b528 + 4374*b246*b529 + 13770*b246*b530 + 15960*b246*b531
     + 15624*b246*b532 + 336*b246*b533 + 17670*b246*b534 + 17298*b246*b535 + 
    372*b246*b536 + 4560*b246*b537 + 4464*b246*b538 + 96*b246*b539 + 6460*b246*
    b540 + 6324*b246*b541 + 136*b246*b542 + 10640*b246*b543 + 10416*b246*b544
     + 224*b246*b545 + 4940*b246*b546 + 4836*b246*b547 + 104*b246*b548 + 12160*
    b246*b549 + 11904*b246*b550 + 256*b246*b551 + 18810*b246*b552 + 18414*b246*
    b553 + 396*b246*b554 + 9880*b246*b555 + 9672*b246*b556 + 208*b246*b557 + 
    4560*b246*b558 + 4464*b246*b559 + 96*b246*b560 + 4560*b246*b564 + 4464*b246
    *b565 + 96*b246*b566 + 17860*b246*b567 + 17484*b246*b568 + 376*b246*b569 + 
    1900*b246*b570 + 1860*b246*b571 + 40*b246*b572 + 12160*b246*b573 + 11904*
    b246*b574 + 256*b246*b575 + 9880*b246*b576 + 9672*b246*b577 + 208*b246*b578
     + 17480*b246*b579 + 17112*b246*b580 + 368*b246*b581 + 9310*b246*b582 + 
    9114*b246*b583 + 196*b246*b584 + 12920*b246*b585 + 12648*b246*b586 + 272*
    b246*b587 + 12350*b246*b588 + 12090*b246*b589 + 260*b246*b590 + 12540*b246*
    b591 + 12276*b246*b592 + 264*b246*b593 + 5320*b246*b594 + 5208*b246*b595 + 
    112*b246*b596 + 15390*b246*b597 + 15066*b246*b598 + 324*b246*b599 + 2030*
    b246*b601 + 5740*b246*b602 + 5740*b246*b603 + 420*b246*b604 + 4970*b246*
    b605 + 560*b246*b606 + 5390*b246*b607 + 5180*b246*b608 + 2100*b246*b609 + 
    6230*b246*b610 + 5320*b246*b611 + 5320*b246*b612 + 2800*b246*b613 + 6510*
    b246*b614 + 3920*b246*b615 + 70*b246*b616 + 3500*b246*b617 + 280*b246*b618
     + 2520*b246*b619 + 1890*b246*b620 + 5950*b246*b621 + 140*b246*b622 + 1820*
    b246*b623 + 12730*b246*b624 + 12462*b246*b625 + 268*b246*b626 + 4368*b247*
    b267 + 1392*b247*b268 + 48*b247*b270 + 720*b247*b271 + 528*b247*b272 + 1680
    *b247*b273 + 528*b247*b274 + 960*b247*b275 + 1008*b247*b276 + 2928*b247*
    b277 + 3840*b247*b278 + 2784*b247*b279 + 1008*b247*b280 + 3648*b247*b281 + 
    2112*b247*b282 + 4080*b247*b283 + 4512*b247*b284 + 4320*b247*b285 + 2448*
    b247*b286 + 144*b247*b287 + 2304*b247*b288 + 17108*b247*b289 + 5452*b247*
    b290 + 188*b247*b292 + 2820*b247*b293 + 2068*b247*b294 + 6580*b247*b295 + 
    2068*b247*b296 + 3760*b247*b297 + 3948*b247*b298 + 11468*b247*b299 + 15040*
    b247*b300 + 10904*b247*b301 + 3948*b247*b302 + 14288*b247*b303 + 8272*b247*
    b304 + 15980*b247*b305 + 17672*b247*b306 + 16920*b247*b307 + 9588*b247*b308
     + 564*b247*b309 + 9024*b247*b310 + 1820*b247*b311 + 580*b247*b312 + 20*
    b247*b314 + 300*b247*b315 + 220*b247*b316 + 700*b247*b317 + 220*b247*b318
     + 400*b247*b319 + 420*b247*b320 + 1220*b247*b321 + 1600*b247*b322 + 1160*
    b247*b323 + 420*b247*b324 + 1520*b247*b325 + 880*b247*b326 + 1700*b247*b327
     + 1880*b247*b328 + 1800*b247*b329 + 1020*b247*b330 + 60*b247*b331 + 960*
    b247*b332 + 11648*b247*b333 + 3712*b247*b334 + 128*b247*b336 + 1920*b247*
    b337 + 1408*b247*b338 + 4480*b247*b339 + 1408*b247*b340 + 2560*b247*b341 + 
    2688*b247*b342 + 7808*b247*b343 + 10240*b247*b344 + 7424*b247*b345 + 2688*
    b247*b346 + 9728*b247*b347 + 5632*b247*b348 + 10880*b247*b349 + 12032*b247*
    b350 + 11520*b247*b351 + 6528*b247*b352 + 384*b247*b353 + 6144*b247*b354 + 
    9464*b247*b355 + 3016*b247*b356 + 104*b247*b358 + 1560*b247*b359 + 1144*
    b247*b360 + 3640*b247*b361 + 1144*b247*b362 + 2080*b247*b363 + 2184*b247*
    b364 + 6344*b247*b365 + 8320*b247*b366 + 6032*b247*b367 + 2184*b247*b368 + 
    7904*b247*b369 + 4576*b247*b370 + 8840*b247*b371 + 9776*b247*b372 + 9360*
    b247*b373 + 5304*b247*b374 + 312*b247*b375 + 4992*b247*b376 + 16744*b247*
    b377 + 5336*b247*b378 + 184*b247*b380 + 2760*b247*b381 + 2024*b247*b382 + 
    6440*b247*b383 + 2024*b247*b384 + 3680*b247*b385 + 3864*b247*b386 + 11224*
    b247*b387 + 14720*b247*b388 + 10672*b247*b389 + 3864*b247*b390 + 13984*b247
    *b391 + 8096*b247*b392 + 15640*b247*b393 + 17296*b247*b394 + 16560*b247*
    b395 + 9384*b247*b396 + 552*b247*b397 + 8832*b247*b398 + 8918*b247*b399 + 
    2842*b247*b400 + 98*b247*b402 + 1470*b247*b403 + 1078*b247*b404 + 3430*b247
    *b405 + 1078*b247*b406 + 1960*b247*b407 + 2058*b247*b408 + 5978*b247*b409
     + 7840*b247*b410 + 5684*b247*b411 + 2058*b247*b412 + 7448*b247*b413 + 4312
    *b247*b414 + 8330*b247*b415 + 9212*b247*b416 + 8820*b247*b417 + 4998*b247*
    b418 + 294*b247*b419 + 4704*b247*b420 + 12376*b247*b421 + 3944*b247*b422 + 
    136*b247*b424 + 2040*b247*b425 + 1496*b247*b426 + 4760*b247*b427 + 1496*
    b247*b428 + 2720*b247*b429 + 2856*b247*b430 + 8296*b247*b431 + 10880*b247*
    b432 + 7888*b247*b433 + 2856*b247*b434 + 10336*b247*b435 + 5984*b247*b436
     + 11560*b247*b437 + 12784*b247*b438 + 12240*b247*b439 + 6936*b247*b440 + 
    408*b247*b441 + 6528*b247*b442 + 11830*b247*b443 + 3770*b247*b444 + 130*
    b247*b446 + 1950*b247*b447 + 1430*b247*b448 + 4550*b247*b449 + 1430*b247*
    b450 + 2600*b247*b451 + 2730*b247*b452 + 7930*b247*b453 + 10400*b247*b454
     + 7540*b247*b455 + 2730*b247*b456 + 9880*b247*b457 + 5720*b247*b458 + 
    11050*b247*b459 + 12220*b247*b460 + 11700*b247*b461 + 6630*b247*b462 + 390*
    b247*b463 + 6240*b247*b464 + 12012*b247*b465 + 3828*b247*b466 + 132*b247*
    b468 + 1980*b247*b469 + 1452*b247*b470 + 4620*b247*b471 + 1452*b247*b472 + 
    2640*b247*b473 + 2772*b247*b474 + 8052*b247*b475 + 10560*b247*b476 + 7656*
    b247*b477 + 2772*b247*b478 + 10032*b247*b479 + 5808*b247*b480 + 11220*b247*
    b481 + 12408*b247*b482 + 11880*b247*b483 + 6732*b247*b484 + 396*b247*b485
     + 6336*b247*b486 + 5096*b247*b487 + 1624*b247*b488 + 56*b247*b490 + 840*
    b247*b491 + 616*b247*b492 + 1960*b247*b493 + 616*b247*b494 + 1120*b247*b495
     + 1176*b247*b496 + 3416*b247*b497 + 4480*b247*b498 + 3248*b247*b499 + 1176
    *b247*b500 + 4256*b247*b501 + 2464*b247*b502 + 4760*b247*b503 + 5264*b247*
    b504 + 5040*b247*b505 + 2856*b247*b506 + 168*b247*b507 + 2688*b247*b508 + 
    14742*b247*b509 + 4698*b247*b510 + 162*b247*b512 + 2430*b247*b513 + 1782*
    b247*b514 + 5670*b247*b515 + 1782*b247*b516 + 3240*b247*b517 + 3402*b247*
    b518 + 9882*b247*b519 + 12960*b247*b520 + 9396*b247*b521 + 3402*b247*b522
     + 12312*b247*b523 + 7128*b247*b524 + 13770*b247*b525 + 15228*b247*b526 + 
    14580*b247*b527 + 8262*b247*b528 + 486*b247*b529 + 7776*b247*b530 + 13776*
    b247*b531 + 12096*b247*b532 + 4872*b247*b533 + 15252*b247*b534 + 13392*b247
    *b535 + 5394*b247*b536 + 3936*b247*b537 + 3456*b247*b538 + 1392*b247*b539
     + 5576*b247*b540 + 4896*b247*b541 + 1972*b247*b542 + 9184*b247*b543 + 8064
    *b247*b544 + 3248*b247*b545 + 4264*b247*b546 + 3744*b247*b547 + 1508*b247*
    b548 + 10496*b247*b549 + 9216*b247*b550 + 3712*b247*b551 + 16236*b247*b552
     + 14256*b247*b553 + 5742*b247*b554 + 8528*b247*b555 + 7488*b247*b556 + 
    3016*b247*b557 + 3936*b247*b558 + 3456*b247*b559 + 1392*b247*b560 + 3936*
    b247*b564 + 3456*b247*b565 + 1392*b247*b566 + 15416*b247*b567 + 13536*b247*
    b568 + 5452*b247*b569 + 1640*b247*b570 + 1440*b247*b571 + 580*b247*b572 + 
    10496*b247*b573 + 9216*b247*b574 + 3712*b247*b575 + 8528*b247*b576 + 7488*
    b247*b577 + 3016*b247*b578 + 15088*b247*b579 + 13248*b247*b580 + 5336*b247*
    b581 + 8036*b247*b582 + 7056*b247*b583 + 2842*b247*b584 + 11152*b247*b585
     + 9792*b247*b586 + 3944*b247*b587 + 10660*b247*b588 + 9360*b247*b589 + 
    3770*b247*b590 + 10824*b247*b591 + 9504*b247*b592 + 3828*b247*b593 + 4592*
    b247*b594 + 4032*b247*b595 + 1624*b247*b596 + 13284*b247*b597 + 11664*b247*
    b598 + 4698*b247*b599 + 2030*b247*b600 + 70*b247*b602 + 1050*b247*b603 + 
    770*b247*b604 + 2450*b247*b605 + 770*b247*b606 + 1400*b247*b607 + 1470*b247
    *b608 + 4270*b247*b609 + 5600*b247*b610 + 4060*b247*b611 + 1470*b247*b612
     + 5320*b247*b613 + 5040*b247*b614 + 3080*b247*b615 + 5950*b247*b616 + 6580
    *b247*b617 + 6300*b247*b618 + 3570*b247*b619 + 210*b247*b620 + 3360*b247*
    b621 + 2030*b247*b622 + 6370*b247*b623 + 10988*b247*b624 + 9648*b247*b625
     + 3886*b247*b626 + 528*b248*b267 + 3936*b248*b268 + 48*b248*b269 + 4320*
    b248*b271 + 3168*b248*b272 + 1968*b248*b273 + 720*b248*b274 + 3984*b248*
    b275 + 4608*b248*b276 + 3552*b248*b277 + 2160*b248*b278 + 3120*b248*b279 + 
    1920*b248*b280 + 2592*b248*b281 + 672*b248*b282 + 3408*b248*b283 + 3696*
    b248*b284 + 1728*b248*b285 + 2544*b248*b286 + 1776*b248*b287 + 1248*b248*
    b288 + 2068*b248*b289 + 15416*b248*b290 + 188*b248*b291 + 16920*b248*b293
     + 12408*b248*b294 + 7708*b248*b295 + 2820*b248*b296 + 15604*b248*b297 + 
    18048*b248*b298 + 13912*b248*b299 + 8460*b248*b300 + 12220*b248*b301 + 7520
    *b248*b302 + 10152*b248*b303 + 2632*b248*b304 + 13348*b248*b305 + 14476*
    b248*b306 + 6768*b248*b307 + 9964*b248*b308 + 6956*b248*b309 + 4888*b248*
    b310 + 220*b248*b311 + 1640*b248*b312 + 20*b248*b313 + 1800*b248*b315 + 
    1320*b248*b316 + 820*b248*b317 + 300*b248*b318 + 1660*b248*b319 + 1920*b248
    *b320 + 1480*b248*b321 + 900*b248*b322 + 1300*b248*b323 + 800*b248*b324 + 
    1080*b248*b325 + 280*b248*b326 + 1420*b248*b327 + 1540*b248*b328 + 720*b248
    *b329 + 1060*b248*b330 + 740*b248*b331 + 520*b248*b332 + 1408*b248*b333 + 
    10496*b248*b334 + 128*b248*b335 + 11520*b248*b337 + 8448*b248*b338 + 5248*
    b248*b339 + 1920*b248*b340 + 10624*b248*b341 + 12288*b248*b342 + 9472*b248*
    b343 + 5760*b248*b344 + 8320*b248*b345 + 5120*b248*b346 + 6912*b248*b347 + 
    1792*b248*b348 + 9088*b248*b349 + 9856*b248*b350 + 4608*b248*b351 + 6784*
    b248*b352 + 4736*b248*b353 + 3328*b248*b354 + 1144*b248*b355 + 8528*b248*
    b356 + 104*b248*b357 + 9360*b248*b359 + 6864*b248*b360 + 4264*b248*b361 + 
    1560*b248*b362 + 8632*b248*b363 + 9984*b248*b364 + 7696*b248*b365 + 4680*
    b248*b366 + 6760*b248*b367 + 4160*b248*b368 + 5616*b248*b369 + 1456*b248*
    b370 + 7384*b248*b371 + 8008*b248*b372 + 3744*b248*b373 + 5512*b248*b374 + 
    3848*b248*b375 + 2704*b248*b376 + 2024*b248*b377 + 15088*b248*b378 + 184*
    b248*b379 + 16560*b248*b381 + 12144*b248*b382 + 7544*b248*b383 + 2760*b248*
    b384 + 15272*b248*b385 + 17664*b248*b386 + 13616*b248*b387 + 8280*b248*b388
     + 11960*b248*b389 + 7360*b248*b390 + 9936*b248*b391 + 2576*b248*b392 + 
    13064*b248*b393 + 14168*b248*b394 + 6624*b248*b395 + 9752*b248*b396 + 6808*
    b248*b397 + 4784*b248*b398 + 1078*b248*b399 + 8036*b248*b400 + 98*b248*b401
     + 8820*b248*b403 + 6468*b248*b404 + 4018*b248*b405 + 1470*b248*b406 + 8134
    *b248*b407 + 9408*b248*b408 + 7252*b248*b409 + 4410*b248*b410 + 6370*b248*
    b411 + 3920*b248*b412 + 5292*b248*b413 + 1372*b248*b414 + 6958*b248*b415 + 
    7546*b248*b416 + 3528*b248*b417 + 5194*b248*b418 + 3626*b248*b419 + 2548*
    b248*b420 + 1496*b248*b421 + 11152*b248*b422 + 136*b248*b423 + 12240*b248*
    b425 + 8976*b248*b426 + 5576*b248*b427 + 2040*b248*b428 + 11288*b248*b429
     + 13056*b248*b430 + 10064*b248*b431 + 6120*b248*b432 + 8840*b248*b433 + 
    5440*b248*b434 + 7344*b248*b435 + 1904*b248*b436 + 9656*b248*b437 + 10472*
    b248*b438 + 4896*b248*b439 + 7208*b248*b440 + 5032*b248*b441 + 3536*b248*
    b442 + 1430*b248*b443 + 10660*b248*b444 + 130*b248*b445 + 11700*b248*b447
     + 8580*b248*b448 + 5330*b248*b449 + 1950*b248*b450 + 10790*b248*b451 + 
    12480*b248*b452 + 9620*b248*b453 + 5850*b248*b454 + 8450*b248*b455 + 5200*
    b248*b456 + 7020*b248*b457 + 1820*b248*b458 + 9230*b248*b459 + 10010*b248*
    b460 + 4680*b248*b461 + 6890*b248*b462 + 4810*b248*b463 + 3380*b248*b464 + 
    1452*b248*b465 + 10824*b248*b466 + 132*b248*b467 + 11880*b248*b469 + 8712*
    b248*b470 + 5412*b248*b471 + 1980*b248*b472 + 10956*b248*b473 + 12672*b248*
    b474 + 9768*b248*b475 + 5940*b248*b476 + 8580*b248*b477 + 5280*b248*b478 + 
    7128*b248*b479 + 1848*b248*b480 + 9372*b248*b481 + 10164*b248*b482 + 4752*
    b248*b483 + 6996*b248*b484 + 4884*b248*b485 + 3432*b248*b486 + 616*b248*
    b487 + 4592*b248*b488 + 56*b248*b489 + 5040*b248*b491 + 3696*b248*b492 + 
    2296*b248*b493 + 840*b248*b494 + 4648*b248*b495 + 5376*b248*b496 + 4144*
    b248*b497 + 2520*b248*b498 + 3640*b248*b499 + 2240*b248*b500 + 3024*b248*
    b501 + 784*b248*b502 + 3976*b248*b503 + 4312*b248*b504 + 2016*b248*b505 + 
    2968*b248*b506 + 2072*b248*b507 + 1456*b248*b508 + 1782*b248*b509 + 13284*
    b248*b510 + 162*b248*b511 + 14580*b248*b513 + 10692*b248*b514 + 6642*b248*
    b515 + 2430*b248*b516 + 13446*b248*b517 + 15552*b248*b518 + 11988*b248*b519
     + 7290*b248*b520 + 10530*b248*b521 + 6480*b248*b522 + 8748*b248*b523 + 
    2268*b248*b524 + 11502*b248*b525 + 12474*b248*b526 + 5832*b248*b527 + 8586*
    b248*b528 + 5994*b248*b529 + 4212*b248*b530 + 9408*b248*b531 + 13944*b248*
    b532 + 14616*b248*b533 + 10416*b248*b534 + 15438*b248*b535 + 16182*b248*
    b536 + 2688*b248*b537 + 3984*b248*b538 + 4176*b248*b539 + 3808*b248*b540 + 
    5644*b248*b541 + 5916*b248*b542 + 6272*b248*b543 + 9296*b248*b544 + 9744*
    b248*b545 + 2912*b248*b546 + 4316*b248*b547 + 4524*b248*b548 + 7168*b248*
    b549 + 10624*b248*b550 + 11136*b248*b551 + 11088*b248*b552 + 16434*b248*
    b553 + 17226*b248*b554 + 5824*b248*b555 + 8632*b248*b556 + 9048*b248*b557
     + 2688*b248*b558 + 3984*b248*b559 + 4176*b248*b560 + 2688*b248*b564 + 3984
    *b248*b565 + 4176*b248*b566 + 10528*b248*b567 + 15604*b248*b568 + 16356*
    b248*b569 + 1120*b248*b570 + 1660*b248*b571 + 1740*b248*b572 + 7168*b248*
    b573 + 10624*b248*b574 + 11136*b248*b575 + 5824*b248*b576 + 8632*b248*b577
     + 9048*b248*b578 + 10304*b248*b579 + 15272*b248*b580 + 16008*b248*b581 + 
    5488*b248*b582 + 8134*b248*b583 + 8526*b248*b584 + 7616*b248*b585 + 11288*
    b248*b586 + 11832*b248*b587 + 7280*b248*b588 + 10790*b248*b589 + 11310*b248
    *b590 + 7392*b248*b591 + 10956*b248*b592 + 11484*b248*b593 + 3136*b248*b594
     + 4648*b248*b595 + 4872*b248*b596 + 9072*b248*b597 + 13446*b248*b598 + 
    14094*b248*b599 + 5740*b248*b600 + 70*b248*b601 + 6300*b248*b603 + 4620*
    b248*b604 + 2870*b248*b605 + 1050*b248*b606 + 5810*b248*b607 + 6720*b248*
    b608 + 5180*b248*b609 + 3150*b248*b610 + 4550*b248*b611 + 2800*b248*b612 + 
    3780*b248*b613 + 5810*b248*b614 + 980*b248*b615 + 4970*b248*b616 + 5390*
    b248*b617 + 2520*b248*b618 + 3710*b248*b619 + 2590*b248*b620 + 1820*b248*
    b621 + 6090*b248*b622 + 770*b248*b623 + 7504*b248*b624 + 11122*b248*b625 + 
    11658*b248*b626 + 1680*b249*b267 + 3936*b249*b268 + 720*b249*b269 + 4320*
    b249*b270 + 3648*b249*b272 + 4368*b249*b273 + 624*b249*b274 + 1392*b249*
    b275 + 528*b249*b276 + 3696*b249*b277 + 1536*b249*b278 + 4176*b249*b279 + 
    3216*b249*b280 + 4512*b249*b281 + 96*b249*b282 + 480*b249*b283 + 4752*b249*
    b284 + 2688*b249*b285 + 3360*b249*b286 + 4752*b249*b287 + 2880*b249*b288 + 
    6580*b249*b289 + 15416*b249*b290 + 2820*b249*b291 + 16920*b249*b292 + 14288
    *b249*b294 + 17108*b249*b295 + 2444*b249*b296 + 5452*b249*b297 + 2068*b249*
    b298 + 14476*b249*b299 + 6016*b249*b300 + 16356*b249*b301 + 12596*b249*b302
     + 17672*b249*b303 + 376*b249*b304 + 1880*b249*b305 + 18612*b249*b306 + 
    10528*b249*b307 + 13160*b249*b308 + 18612*b249*b309 + 11280*b249*b310 + 700
    *b249*b311 + 1640*b249*b312 + 300*b249*b313 + 1800*b249*b314 + 1520*b249*
    b316 + 1820*b249*b317 + 260*b249*b318 + 580*b249*b319 + 220*b249*b320 + 
    1540*b249*b321 + 640*b249*b322 + 1740*b249*b323 + 1340*b249*b324 + 1880*
    b249*b325 + 40*b249*b326 + 200*b249*b327 + 1980*b249*b328 + 1120*b249*b329
     + 1400*b249*b330 + 1980*b249*b331 + 1200*b249*b332 + 4480*b249*b333 + 
    10496*b249*b334 + 1920*b249*b335 + 11520*b249*b336 + 9728*b249*b338 + 11648
    *b249*b339 + 1664*b249*b340 + 3712*b249*b341 + 1408*b249*b342 + 9856*b249*
    b343 + 4096*b249*b344 + 11136*b249*b345 + 8576*b249*b346 + 12032*b249*b347
     + 256*b249*b348 + 1280*b249*b349 + 12672*b249*b350 + 7168*b249*b351 + 8960
    *b249*b352 + 12672*b249*b353 + 7680*b249*b354 + 3640*b249*b355 + 8528*b249*
    b356 + 1560*b249*b357 + 9360*b249*b358 + 7904*b249*b360 + 9464*b249*b361 + 
    1352*b249*b362 + 3016*b249*b363 + 1144*b249*b364 + 8008*b249*b365 + 3328*
    b249*b366 + 9048*b249*b367 + 6968*b249*b368 + 9776*b249*b369 + 208*b249*
    b370 + 1040*b249*b371 + 10296*b249*b372 + 5824*b249*b373 + 7280*b249*b374
     + 10296*b249*b375 + 6240*b249*b376 + 6440*b249*b377 + 15088*b249*b378 + 
    2760*b249*b379 + 16560*b249*b380 + 13984*b249*b382 + 16744*b249*b383 + 2392
    *b249*b384 + 5336*b249*b385 + 2024*b249*b386 + 14168*b249*b387 + 5888*b249*
    b388 + 16008*b249*b389 + 12328*b249*b390 + 17296*b249*b391 + 368*b249*b392
     + 1840*b249*b393 + 18216*b249*b394 + 10304*b249*b395 + 12880*b249*b396 + 
    18216*b249*b397 + 11040*b249*b398 + 3430*b249*b399 + 8036*b249*b400 + 1470*
    b249*b401 + 8820*b249*b402 + 7448*b249*b404 + 8918*b249*b405 + 1274*b249*
    b406 + 2842*b249*b407 + 1078*b249*b408 + 7546*b249*b409 + 3136*b249*b410 + 
    8526*b249*b411 + 6566*b249*b412 + 9212*b249*b413 + 196*b249*b414 + 980*b249
    *b415 + 9702*b249*b416 + 5488*b249*b417 + 6860*b249*b418 + 9702*b249*b419
     + 5880*b249*b420 + 4760*b249*b421 + 11152*b249*b422 + 2040*b249*b423 + 
    12240*b249*b424 + 10336*b249*b426 + 12376*b249*b427 + 1768*b249*b428 + 3944
    *b249*b429 + 1496*b249*b430 + 10472*b249*b431 + 4352*b249*b432 + 11832*b249
    *b433 + 9112*b249*b434 + 12784*b249*b435 + 272*b249*b436 + 1360*b249*b437
     + 13464*b249*b438 + 7616*b249*b439 + 9520*b249*b440 + 13464*b249*b441 + 
    8160*b249*b442 + 4550*b249*b443 + 10660*b249*b444 + 1950*b249*b445 + 11700*
    b249*b446 + 9880*b249*b448 + 11830*b249*b449 + 1690*b249*b450 + 3770*b249*
    b451 + 1430*b249*b452 + 10010*b249*b453 + 4160*b249*b454 + 11310*b249*b455
     + 8710*b249*b456 + 12220*b249*b457 + 260*b249*b458 + 1300*b249*b459 + 
    12870*b249*b460 + 7280*b249*b461 + 9100*b249*b462 + 12870*b249*b463 + 7800*
    b249*b464 + 4620*b249*b465 + 10824*b249*b466 + 1980*b249*b467 + 11880*b249*
    b468 + 10032*b249*b470 + 12012*b249*b471 + 1716*b249*b472 + 3828*b249*b473
     + 1452*b249*b474 + 10164*b249*b475 + 4224*b249*b476 + 11484*b249*b477 + 
    8844*b249*b478 + 12408*b249*b479 + 264*b249*b480 + 1320*b249*b481 + 13068*
    b249*b482 + 7392*b249*b483 + 9240*b249*b484 + 13068*b249*b485 + 7920*b249*
    b486 + 1960*b249*b487 + 4592*b249*b488 + 840*b249*b489 + 5040*b249*b490 + 
    4256*b249*b492 + 5096*b249*b493 + 728*b249*b494 + 1624*b249*b495 + 616*b249
    *b496 + 4312*b249*b497 + 1792*b249*b498 + 4872*b249*b499 + 3752*b249*b500
     + 5264*b249*b501 + 112*b249*b502 + 560*b249*b503 + 5544*b249*b504 + 3136*
    b249*b505 + 3920*b249*b506 + 5544*b249*b507 + 3360*b249*b508 + 5670*b249*
    b509 + 13284*b249*b510 + 2430*b249*b511 + 14580*b249*b512 + 12312*b249*b514
     + 14742*b249*b515 + 2106*b249*b516 + 4698*b249*b517 + 1782*b249*b518 + 
    12474*b249*b519 + 5184*b249*b520 + 14094*b249*b521 + 10854*b249*b522 + 
    15228*b249*b523 + 324*b249*b524 + 1620*b249*b525 + 16038*b249*b526 + 9072*
    b249*b527 + 11340*b249*b528 + 16038*b249*b529 + 9720*b249*b530 + 6888*b249*
    b531 + 13272*b249*b532 + 672*b249*b533 + 7626*b249*b534 + 14694*b249*b535
     + 744*b249*b536 + 1968*b249*b537 + 3792*b249*b538 + 192*b249*b539 + 2788*
    b249*b540 + 5372*b249*b541 + 272*b249*b542 + 4592*b249*b543 + 8848*b249*
    b544 + 448*b249*b545 + 2132*b249*b546 + 4108*b249*b547 + 208*b249*b548 + 
    5248*b249*b549 + 10112*b249*b550 + 512*b249*b551 + 8118*b249*b552 + 15642*
    b249*b553 + 792*b249*b554 + 4264*b249*b555 + 8216*b249*b556 + 416*b249*b557
     + 1968*b249*b558 + 3792*b249*b559 + 192*b249*b560 + 1968*b249*b564 + 3792*
    b249*b565 + 192*b249*b566 + 7708*b249*b567 + 14852*b249*b568 + 752*b249*
    b569 + 820*b249*b570 + 1580*b249*b571 + 80*b249*b572 + 5248*b249*b573 + 
    10112*b249*b574 + 512*b249*b575 + 4264*b249*b576 + 8216*b249*b577 + 416*
    b249*b578 + 7544*b249*b579 + 14536*b249*b580 + 736*b249*b581 + 4018*b249*
    b582 + 7742*b249*b583 + 392*b249*b584 + 5576*b249*b585 + 10744*b249*b586 + 
    544*b249*b587 + 5330*b249*b588 + 10270*b249*b589 + 520*b249*b590 + 5412*
    b249*b591 + 10428*b249*b592 + 528*b249*b593 + 2296*b249*b594 + 4424*b249*
    b595 + 224*b249*b596 + 6642*b249*b597 + 12798*b249*b598 + 648*b249*b599 + 
    5740*b249*b600 + 1050*b249*b601 + 6300*b249*b602 + 5320*b249*b604 + 6370*
    b249*b605 + 910*b249*b606 + 2030*b249*b607 + 770*b249*b608 + 5390*b249*b609
     + 2240*b249*b610 + 6090*b249*b611 + 4690*b249*b612 + 6580*b249*b613 + 5530
    *b249*b614 + 140*b249*b615 + 700*b249*b616 + 6930*b249*b617 + 3920*b249*
    b618 + 4900*b249*b619 + 6930*b249*b620 + 4200*b249*b621 + 280*b249*b622 + 
    2450*b249*b623 + 5494*b249*b624 + 10586*b249*b625 + 536*b249*b626 + 3936*
    b250*b267 + 288*b250*b268 + 528*b250*b269 + 3168*b250*b270 + 3648*b250*b271
     + 2688*b250*b273 + 96*b250*b274 + 2880*b250*b275 + 3456*b250*b276 + 3552*
    b250*b277 + 2208*b250*b278 + 624*b250*b279 + 960*b250*b280 + 4128*b250*b281
     + 3696*b250*b282 + 720*b250*b283 + 4272*b250*b284 + 2304*b250*b285 + 672*
    b250*b286 + 4272*b250*b287 + 2112*b250*b288 + 15416*b250*b289 + 1128*b250*
    b290 + 2068*b250*b291 + 12408*b250*b292 + 14288*b250*b293 + 10528*b250*b295
     + 376*b250*b296 + 11280*b250*b297 + 13536*b250*b298 + 13912*b250*b299 + 
    8648*b250*b300 + 2444*b250*b301 + 3760*b250*b302 + 16168*b250*b303 + 14476*
    b250*b304 + 2820*b250*b305 + 16732*b250*b306 + 9024*b250*b307 + 2632*b250*
    b308 + 16732*b250*b309 + 8272*b250*b310 + 1640*b250*b311 + 120*b250*b312 + 
    220*b250*b313 + 1320*b250*b314 + 1520*b250*b315 + 1120*b250*b317 + 40*b250*
    b318 + 1200*b250*b319 + 1440*b250*b320 + 1480*b250*b321 + 920*b250*b322 + 
    260*b250*b323 + 400*b250*b324 + 1720*b250*b325 + 1540*b250*b326 + 300*b250*
    b327 + 1780*b250*b328 + 960*b250*b329 + 280*b250*b330 + 1780*b250*b331 + 
    880*b250*b332 + 10496*b250*b333 + 768*b250*b334 + 1408*b250*b335 + 8448*
    b250*b336 + 9728*b250*b337 + 7168*b250*b339 + 256*b250*b340 + 7680*b250*
    b341 + 9216*b250*b342 + 9472*b250*b343 + 5888*b250*b344 + 1664*b250*b345 + 
    2560*b250*b346 + 11008*b250*b347 + 9856*b250*b348 + 1920*b250*b349 + 11392*
    b250*b350 + 6144*b250*b351 + 1792*b250*b352 + 11392*b250*b353 + 5632*b250*
    b354 + 8528*b250*b355 + 624*b250*b356 + 1144*b250*b357 + 6864*b250*b358 + 
    7904*b250*b359 + 5824*b250*b361 + 208*b250*b362 + 6240*b250*b363 + 7488*
    b250*b364 + 7696*b250*b365 + 4784*b250*b366 + 1352*b250*b367 + 2080*b250*
    b368 + 8944*b250*b369 + 8008*b250*b370 + 1560*b250*b371 + 9256*b250*b372 + 
    4992*b250*b373 + 1456*b250*b374 + 9256*b250*b375 + 4576*b250*b376 + 15088*
    b250*b377 + 1104*b250*b378 + 2024*b250*b379 + 12144*b250*b380 + 13984*b250*
    b381 + 10304*b250*b383 + 368*b250*b384 + 11040*b250*b385 + 13248*b250*b386
     + 13616*b250*b387 + 8464*b250*b388 + 2392*b250*b389 + 3680*b250*b390 + 
    15824*b250*b391 + 14168*b250*b392 + 2760*b250*b393 + 16376*b250*b394 + 8832
    *b250*b395 + 2576*b250*b396 + 16376*b250*b397 + 8096*b250*b398 + 8036*b250*
    b399 + 588*b250*b400 + 1078*b250*b401 + 6468*b250*b402 + 7448*b250*b403 + 
    5488*b250*b405 + 196*b250*b406 + 5880*b250*b407 + 7056*b250*b408 + 7252*
    b250*b409 + 4508*b250*b410 + 1274*b250*b411 + 1960*b250*b412 + 8428*b250*
    b413 + 7546*b250*b414 + 1470*b250*b415 + 8722*b250*b416 + 4704*b250*b417 + 
    1372*b250*b418 + 8722*b250*b419 + 4312*b250*b420 + 11152*b250*b421 + 816*
    b250*b422 + 1496*b250*b423 + 8976*b250*b424 + 10336*b250*b425 + 7616*b250*
    b427 + 272*b250*b428 + 8160*b250*b429 + 9792*b250*b430 + 10064*b250*b431 + 
    6256*b250*b432 + 1768*b250*b433 + 2720*b250*b434 + 11696*b250*b435 + 10472*
    b250*b436 + 2040*b250*b437 + 12104*b250*b438 + 6528*b250*b439 + 1904*b250*
    b440 + 12104*b250*b441 + 5984*b250*b442 + 10660*b250*b443 + 780*b250*b444
     + 1430*b250*b445 + 8580*b250*b446 + 9880*b250*b447 + 7280*b250*b449 + 260*
    b250*b450 + 7800*b250*b451 + 9360*b250*b452 + 9620*b250*b453 + 5980*b250*
    b454 + 1690*b250*b455 + 2600*b250*b456 + 11180*b250*b457 + 10010*b250*b458
     + 1950*b250*b459 + 11570*b250*b460 + 6240*b250*b461 + 1820*b250*b462 + 
    11570*b250*b463 + 5720*b250*b464 + 10824*b250*b465 + 792*b250*b466 + 1452*
    b250*b467 + 8712*b250*b468 + 10032*b250*b469 + 7392*b250*b471 + 264*b250*
    b472 + 7920*b250*b473 + 9504*b250*b474 + 9768*b250*b475 + 6072*b250*b476 + 
    1716*b250*b477 + 2640*b250*b478 + 11352*b250*b479 + 10164*b250*b480 + 1980*
    b250*b481 + 11748*b250*b482 + 6336*b250*b483 + 1848*b250*b484 + 11748*b250*
    b485 + 5808*b250*b486 + 4592*b250*b487 + 336*b250*b488 + 616*b250*b489 + 
    3696*b250*b490 + 4256*b250*b491 + 3136*b250*b493 + 112*b250*b494 + 3360*
    b250*b495 + 4032*b250*b496 + 4144*b250*b497 + 2576*b250*b498 + 728*b250*
    b499 + 1120*b250*b500 + 4816*b250*b501 + 4312*b250*b502 + 840*b250*b503 + 
    4984*b250*b504 + 2688*b250*b505 + 784*b250*b506 + 4984*b250*b507 + 2464*
    b250*b508 + 13284*b250*b509 + 972*b250*b510 + 1782*b250*b511 + 10692*b250*
    b512 + 12312*b250*b513 + 9072*b250*b515 + 324*b250*b516 + 9720*b250*b517 + 
    11664*b250*b518 + 11988*b250*b519 + 7452*b250*b520 + 2106*b250*b521 + 3240*
    b250*b522 + 13932*b250*b523 + 12474*b250*b524 + 2430*b250*b525 + 14418*b250
    *b526 + 7776*b250*b527 + 2268*b250*b528 + 14418*b250*b529 + 7128*b250*b530
     + 1008*b250*b531 + 672*b250*b532 + 9912*b250*b533 + 1116*b250*b534 + 744*
    b250*b535 + 10974*b250*b536 + 288*b250*b537 + 192*b250*b538 + 2832*b250*
    b539 + 408*b250*b540 + 272*b250*b541 + 4012*b250*b542 + 672*b250*b543 + 448
    *b250*b544 + 6608*b250*b545 + 312*b250*b546 + 208*b250*b547 + 3068*b250*
    b548 + 768*b250*b549 + 512*b250*b550 + 7552*b250*b551 + 1188*b250*b552 + 
    792*b250*b553 + 11682*b250*b554 + 624*b250*b555 + 416*b250*b556 + 6136*b250
    *b557 + 288*b250*b558 + 192*b250*b559 + 2832*b250*b560 + 288*b250*b564 + 
    192*b250*b565 + 2832*b250*b566 + 1128*b250*b567 + 752*b250*b568 + 11092*
    b250*b569 + 120*b250*b570 + 80*b250*b571 + 1180*b250*b572 + 768*b250*b573
     + 512*b250*b574 + 7552*b250*b575 + 624*b250*b576 + 416*b250*b577 + 6136*
    b250*b578 + 1104*b250*b579 + 736*b250*b580 + 10856*b250*b581 + 588*b250*
    b582 + 392*b250*b583 + 5782*b250*b584 + 816*b250*b585 + 544*b250*b586 + 
    8024*b250*b587 + 780*b250*b588 + 520*b250*b589 + 7670*b250*b590 + 792*b250*
    b591 + 528*b250*b592 + 7788*b250*b593 + 336*b250*b594 + 224*b250*b595 + 
    3304*b250*b596 + 972*b250*b597 + 648*b250*b598 + 9558*b250*b599 + 420*b250*
    b600 + 770*b250*b601 + 4620*b250*b602 + 5320*b250*b603 + 3920*b250*b605 + 
    140*b250*b606 + 4200*b250*b607 + 5040*b250*b608 + 5180*b250*b609 + 3220*
    b250*b610 + 910*b250*b611 + 1400*b250*b612 + 6020*b250*b613 + 280*b250*b614
     + 5390*b250*b615 + 1050*b250*b616 + 6230*b250*b617 + 3360*b250*b618 + 980*
    b250*b619 + 6230*b250*b620 + 3080*b250*b621 + 4130*b250*b622 + 5740*b250*
    b623 + 804*b250*b624 + 536*b250*b625 + 7906*b250*b626 + 1248*b251*b267 + 
    3408*b251*b268 + 1680*b251*b269 + 1968*b251*b270 + 4368*b251*b271 + 2688*
    b251*b272 + 1056*b251*b274 + 2736*b251*b275 + 3024*b251*b276 + 288*b251*
    b277 + 2976*b251*b279 + 1968*b251*b280 + 2976*b251*b281 + 1200*b251*b282 + 
    3600*b251*b283 + 3648*b251*b284 + 1920*b251*b285 + 3168*b251*b286 + 2784*
    b251*b287 + 1440*b251*b288 + 4888*b251*b289 + 13348*b251*b290 + 6580*b251*
    b291 + 7708*b251*b292 + 17108*b251*b293 + 10528*b251*b294 + 4136*b251*b296
     + 10716*b251*b297 + 11844*b251*b298 + 1128*b251*b299 + 11656*b251*b301 + 
    7708*b251*b302 + 11656*b251*b303 + 4700*b251*b304 + 14100*b251*b305 + 14288
    *b251*b306 + 7520*b251*b307 + 12408*b251*b308 + 10904*b251*b309 + 5640*b251
    *b310 + 520*b251*b311 + 1420*b251*b312 + 700*b251*b313 + 820*b251*b314 + 
    1820*b251*b315 + 1120*b251*b316 + 440*b251*b318 + 1140*b251*b319 + 1260*
    b251*b320 + 120*b251*b321 + 1240*b251*b323 + 820*b251*b324 + 1240*b251*b325
     + 500*b251*b326 + 1500*b251*b327 + 1520*b251*b328 + 800*b251*b329 + 1320*
    b251*b330 + 1160*b251*b331 + 600*b251*b332 + 3328*b251*b333 + 9088*b251*
    b334 + 4480*b251*b335 + 5248*b251*b336 + 11648*b251*b337 + 7168*b251*b338
     + 2816*b251*b340 + 7296*b251*b341 + 8064*b251*b342 + 768*b251*b343 + 7936*
    b251*b345 + 5248*b251*b346 + 7936*b251*b347 + 3200*b251*b348 + 9600*b251*
    b349 + 9728*b251*b350 + 5120*b251*b351 + 8448*b251*b352 + 7424*b251*b353 + 
    3840*b251*b354 + 2704*b251*b355 + 7384*b251*b356 + 3640*b251*b357 + 4264*
    b251*b358 + 9464*b251*b359 + 5824*b251*b360 + 2288*b251*b362 + 5928*b251*
    b363 + 6552*b251*b364 + 624*b251*b365 + 6448*b251*b367 + 4264*b251*b368 + 
    6448*b251*b369 + 2600*b251*b370 + 7800*b251*b371 + 7904*b251*b372 + 4160*
    b251*b373 + 6864*b251*b374 + 6032*b251*b375 + 3120*b251*b376 + 4784*b251*
    b377 + 13064*b251*b378 + 6440*b251*b379 + 7544*b251*b380 + 16744*b251*b381
     + 10304*b251*b382 + 4048*b251*b384 + 10488*b251*b385 + 11592*b251*b386 + 
    1104*b251*b387 + 11408*b251*b389 + 7544*b251*b390 + 11408*b251*b391 + 4600*
    b251*b392 + 13800*b251*b393 + 13984*b251*b394 + 7360*b251*b395 + 12144*b251
    *b396 + 10672*b251*b397 + 5520*b251*b398 + 2548*b251*b399 + 6958*b251*b400
     + 3430*b251*b401 + 4018*b251*b402 + 8918*b251*b403 + 5488*b251*b404 + 2156
    *b251*b406 + 5586*b251*b407 + 6174*b251*b408 + 588*b251*b409 + 6076*b251*
    b411 + 4018*b251*b412 + 6076*b251*b413 + 2450*b251*b414 + 7350*b251*b415 + 
    7448*b251*b416 + 3920*b251*b417 + 6468*b251*b418 + 5684*b251*b419 + 2940*
    b251*b420 + 3536*b251*b421 + 9656*b251*b422 + 4760*b251*b423 + 5576*b251*
    b424 + 12376*b251*b425 + 7616*b251*b426 + 2992*b251*b428 + 7752*b251*b429
     + 8568*b251*b430 + 816*b251*b431 + 8432*b251*b433 + 5576*b251*b434 + 8432*
    b251*b435 + 3400*b251*b436 + 10200*b251*b437 + 10336*b251*b438 + 5440*b251*
    b439 + 8976*b251*b440 + 7888*b251*b441 + 4080*b251*b442 + 3380*b251*b443 + 
    9230*b251*b444 + 4550*b251*b445 + 5330*b251*b446 + 11830*b251*b447 + 7280*
    b251*b448 + 2860*b251*b450 + 7410*b251*b451 + 8190*b251*b452 + 780*b251*
    b453 + 8060*b251*b455 + 5330*b251*b456 + 8060*b251*b457 + 3250*b251*b458 + 
    9750*b251*b459 + 9880*b251*b460 + 5200*b251*b461 + 8580*b251*b462 + 7540*
    b251*b463 + 3900*b251*b464 + 3432*b251*b465 + 9372*b251*b466 + 4620*b251*
    b467 + 5412*b251*b468 + 12012*b251*b469 + 7392*b251*b470 + 2904*b251*b472
     + 7524*b251*b473 + 8316*b251*b474 + 792*b251*b475 + 8184*b251*b477 + 5412*
    b251*b478 + 8184*b251*b479 + 3300*b251*b480 + 9900*b251*b481 + 10032*b251*
    b482 + 5280*b251*b483 + 8712*b251*b484 + 7656*b251*b485 + 3960*b251*b486 + 
    1456*b251*b487 + 3976*b251*b488 + 1960*b251*b489 + 2296*b251*b490 + 5096*
    b251*b491 + 3136*b251*b492 + 1232*b251*b494 + 3192*b251*b495 + 3528*b251*
    b496 + 336*b251*b497 + 3472*b251*b499 + 2296*b251*b500 + 3472*b251*b501 + 
    1400*b251*b502 + 4200*b251*b503 + 4256*b251*b504 + 2240*b251*b505 + 3696*
    b251*b506 + 3248*b251*b507 + 1680*b251*b508 + 4212*b251*b509 + 11502*b251*
    b510 + 5670*b251*b511 + 6642*b251*b512 + 14742*b251*b513 + 9072*b251*b514
     + 3564*b251*b516 + 9234*b251*b517 + 10206*b251*b518 + 972*b251*b519 + 
    10044*b251*b521 + 6642*b251*b522 + 10044*b251*b523 + 4050*b251*b524 + 12150
    *b251*b525 + 12312*b251*b526 + 6480*b251*b527 + 10692*b251*b528 + 9396*b251
    *b529 + 4860*b251*b530 + 4200*b251*b531 + 7728*b251*b532 + 11424*b251*b533
     + 4650*b251*b534 + 8556*b251*b535 + 12648*b251*b536 + 1200*b251*b537 + 
    2208*b251*b538 + 3264*b251*b539 + 1700*b251*b540 + 3128*b251*b541 + 4624*
    b251*b542 + 2800*b251*b543 + 5152*b251*b544 + 7616*b251*b545 + 1300*b251*
    b546 + 2392*b251*b547 + 3536*b251*b548 + 3200*b251*b549 + 5888*b251*b550 + 
    8704*b251*b551 + 4950*b251*b552 + 9108*b251*b553 + 13464*b251*b554 + 2600*
    b251*b555 + 4784*b251*b556 + 7072*b251*b557 + 1200*b251*b558 + 2208*b251*
    b559 + 3264*b251*b560 + 1200*b251*b564 + 2208*b251*b565 + 3264*b251*b566 + 
    4700*b251*b567 + 8648*b251*b568 + 12784*b251*b569 + 500*b251*b570 + 920*
    b251*b571 + 1360*b251*b572 + 3200*b251*b573 + 5888*b251*b574 + 8704*b251*
    b575 + 2600*b251*b576 + 4784*b251*b577 + 7072*b251*b578 + 4600*b251*b579 + 
    8464*b251*b580 + 12512*b251*b581 + 2450*b251*b582 + 4508*b251*b583 + 6664*
    b251*b584 + 3400*b251*b585 + 6256*b251*b586 + 9248*b251*b587 + 3250*b251*
    b588 + 5980*b251*b589 + 8840*b251*b590 + 3300*b251*b591 + 6072*b251*b592 + 
    8976*b251*b593 + 1400*b251*b594 + 2576*b251*b595 + 3808*b251*b596 + 4050*
    b251*b597 + 7452*b251*b598 + 11016*b251*b599 + 4970*b251*b600 + 2450*b251*
    b601 + 2870*b251*b602 + 6370*b251*b603 + 3920*b251*b604 + 1540*b251*b606 + 
    3990*b251*b607 + 4410*b251*b608 + 420*b251*b609 + 4340*b251*b611 + 2870*
    b251*b612 + 4340*b251*b613 + 3220*b251*b614 + 1750*b251*b615 + 5250*b251*
    b616 + 5320*b251*b617 + 2800*b251*b618 + 4620*b251*b619 + 4060*b251*b620 + 
    2100*b251*b621 + 4760*b251*b622 + 1820*b251*b623 + 3350*b251*b624 + 6164*
    b251*b625 + 9112*b251*b626 + 3312*b252*b267 + 384*b252*b268 + 528*b252*b269
     + 720*b252*b270 + 624*b252*b271 + 96*b252*b272 + 1056*b252*b273 + 3744*
    b252*b275 + 4368*b252*b276 + 624*b252*b277 + 2832*b252*b278 + 2352*b252*
    b279 + 4080*b252*b280 + 4032*b252*b281 + 1824*b252*b282 + 1968*b252*b283 + 
    2688*b252*b284 + 1872*b252*b285 + 2544*b252*b286 + 3696*b252*b287 + 2400*
    b252*b288 + 12972*b252*b289 + 1504*b252*b290 + 2068*b252*b291 + 2820*b252*
    b292 + 2444*b252*b293 + 376*b252*b294 + 4136*b252*b295 + 14664*b252*b297 + 
    17108*b252*b298 + 2444*b252*b299 + 11092*b252*b300 + 9212*b252*b301 + 15980
    *b252*b302 + 15792*b252*b303 + 7144*b252*b304 + 7708*b252*b305 + 10528*b252
    *b306 + 7332*b252*b307 + 9964*b252*b308 + 14476*b252*b309 + 9400*b252*b310
     + 1380*b252*b311 + 160*b252*b312 + 220*b252*b313 + 300*b252*b314 + 260*
    b252*b315 + 40*b252*b316 + 440*b252*b317 + 1560*b252*b319 + 1820*b252*b320
     + 260*b252*b321 + 1180*b252*b322 + 980*b252*b323 + 1700*b252*b324 + 1680*
    b252*b325 + 760*b252*b326 + 820*b252*b327 + 1120*b252*b328 + 780*b252*b329
     + 1060*b252*b330 + 1540*b252*b331 + 1000*b252*b332 + 8832*b252*b333 + 1024
    *b252*b334 + 1408*b252*b335 + 1920*b252*b336 + 1664*b252*b337 + 256*b252*
    b338 + 2816*b252*b339 + 9984*b252*b341 + 11648*b252*b342 + 1664*b252*b343
     + 7552*b252*b344 + 6272*b252*b345 + 10880*b252*b346 + 10752*b252*b347 + 
    4864*b252*b348 + 5248*b252*b349 + 7168*b252*b350 + 4992*b252*b351 + 6784*
    b252*b352 + 9856*b252*b353 + 6400*b252*b354 + 7176*b252*b355 + 832*b252*
    b356 + 1144*b252*b357 + 1560*b252*b358 + 1352*b252*b359 + 208*b252*b360 + 
    2288*b252*b361 + 8112*b252*b363 + 9464*b252*b364 + 1352*b252*b365 + 6136*
    b252*b366 + 5096*b252*b367 + 8840*b252*b368 + 8736*b252*b369 + 3952*b252*
    b370 + 4264*b252*b371 + 5824*b252*b372 + 4056*b252*b373 + 5512*b252*b374 + 
    8008*b252*b375 + 5200*b252*b376 + 12696*b252*b377 + 1472*b252*b378 + 2024*
    b252*b379 + 2760*b252*b380 + 2392*b252*b381 + 368*b252*b382 + 4048*b252*
    b383 + 14352*b252*b385 + 16744*b252*b386 + 2392*b252*b387 + 10856*b252*b388
     + 9016*b252*b389 + 15640*b252*b390 + 15456*b252*b391 + 6992*b252*b392 + 
    7544*b252*b393 + 10304*b252*b394 + 7176*b252*b395 + 9752*b252*b396 + 14168*
    b252*b397 + 9200*b252*b398 + 6762*b252*b399 + 784*b252*b400 + 1078*b252*
    b401 + 1470*b252*b402 + 1274*b252*b403 + 196*b252*b404 + 2156*b252*b405 + 
    7644*b252*b407 + 8918*b252*b408 + 1274*b252*b409 + 5782*b252*b410 + 4802*
    b252*b411 + 8330*b252*b412 + 8232*b252*b413 + 3724*b252*b414 + 4018*b252*
    b415 + 5488*b252*b416 + 3822*b252*b417 + 5194*b252*b418 + 7546*b252*b419 + 
    4900*b252*b420 + 9384*b252*b421 + 1088*b252*b422 + 1496*b252*b423 + 2040*
    b252*b424 + 1768*b252*b425 + 272*b252*b426 + 2992*b252*b427 + 10608*b252*
    b429 + 12376*b252*b430 + 1768*b252*b431 + 8024*b252*b432 + 6664*b252*b433
     + 11560*b252*b434 + 11424*b252*b435 + 5168*b252*b436 + 5576*b252*b437 + 
    7616*b252*b438 + 5304*b252*b439 + 7208*b252*b440 + 10472*b252*b441 + 6800*
    b252*b442 + 8970*b252*b443 + 1040*b252*b444 + 1430*b252*b445 + 1950*b252*
    b446 + 1690*b252*b447 + 260*b252*b448 + 2860*b252*b449 + 10140*b252*b451 + 
    11830*b252*b452 + 1690*b252*b453 + 7670*b252*b454 + 6370*b252*b455 + 11050*
    b252*b456 + 10920*b252*b457 + 4940*b252*b458 + 5330*b252*b459 + 7280*b252*
    b460 + 5070*b252*b461 + 6890*b252*b462 + 10010*b252*b463 + 6500*b252*b464
     + 9108*b252*b465 + 1056*b252*b466 + 1452*b252*b467 + 1980*b252*b468 + 1716
    *b252*b469 + 264*b252*b470 + 2904*b252*b471 + 10296*b252*b473 + 12012*b252*
    b474 + 1716*b252*b475 + 7788*b252*b476 + 6468*b252*b477 + 11220*b252*b478
     + 11088*b252*b479 + 5016*b252*b480 + 5412*b252*b481 + 7392*b252*b482 + 
    5148*b252*b483 + 6996*b252*b484 + 10164*b252*b485 + 6600*b252*b486 + 3864*
    b252*b487 + 448*b252*b488 + 616*b252*b489 + 840*b252*b490 + 728*b252*b491
     + 112*b252*b492 + 1232*b252*b493 + 4368*b252*b495 + 5096*b252*b496 + 728*
    b252*b497 + 3304*b252*b498 + 2744*b252*b499 + 4760*b252*b500 + 4704*b252*
    b501 + 2128*b252*b502 + 2296*b252*b503 + 3136*b252*b504 + 2184*b252*b505 + 
    2968*b252*b506 + 4312*b252*b507 + 2800*b252*b508 + 11178*b252*b509 + 1296*
    b252*b510 + 1782*b252*b511 + 2430*b252*b512 + 2106*b252*b513 + 324*b252*
    b514 + 3564*b252*b515 + 12636*b252*b517 + 14742*b252*b518 + 2106*b252*b519
     + 9558*b252*b520 + 7938*b252*b521 + 13770*b252*b522 + 13608*b252*b523 + 
    6156*b252*b524 + 6642*b252*b525 + 9072*b252*b526 + 6318*b252*b527 + 8586*
    b252*b528 + 12474*b252*b529 + 8100*b252*b530 + 1680*b252*b531 + 1344*b252*
    b532 + 5040*b252*b533 + 1860*b252*b534 + 1488*b252*b535 + 5580*b252*b536 + 
    480*b252*b537 + 384*b252*b538 + 1440*b252*b539 + 680*b252*b540 + 544*b252*
    b541 + 2040*b252*b542 + 1120*b252*b543 + 896*b252*b544 + 3360*b252*b545 + 
    520*b252*b546 + 416*b252*b547 + 1560*b252*b548 + 1280*b252*b549 + 1024*b252
    *b550 + 3840*b252*b551 + 1980*b252*b552 + 1584*b252*b553 + 5940*b252*b554
     + 1040*b252*b555 + 832*b252*b556 + 3120*b252*b557 + 480*b252*b558 + 384*
    b252*b559 + 1440*b252*b560 + 480*b252*b564 + 384*b252*b565 + 1440*b252*b566
     + 1880*b252*b567 + 1504*b252*b568 + 5640*b252*b569 + 200*b252*b570 + 160*
    b252*b571 + 600*b252*b572 + 1280*b252*b573 + 1024*b252*b574 + 3840*b252*
    b575 + 1040*b252*b576 + 832*b252*b577 + 3120*b252*b578 + 1840*b252*b579 + 
    1472*b252*b580 + 5520*b252*b581 + 980*b252*b582 + 784*b252*b583 + 2940*b252
    *b584 + 1360*b252*b585 + 1088*b252*b586 + 4080*b252*b587 + 1300*b252*b588
     + 1040*b252*b589 + 3900*b252*b590 + 1320*b252*b591 + 1056*b252*b592 + 3960
    *b252*b593 + 560*b252*b594 + 448*b252*b595 + 1680*b252*b596 + 1620*b252*
    b597 + 1296*b252*b598 + 4860*b252*b599 + 560*b252*b600 + 770*b252*b601 + 
    1050*b252*b602 + 910*b252*b603 + 140*b252*b604 + 1540*b252*b605 + 5460*b252
    *b607 + 6370*b252*b608 + 910*b252*b609 + 4130*b252*b610 + 3430*b252*b611 + 
    5950*b252*b612 + 5880*b252*b613 + 560*b252*b614 + 2660*b252*b615 + 2870*
    b252*b616 + 3920*b252*b617 + 2730*b252*b618 + 3710*b252*b619 + 5390*b252*
    b620 + 3500*b252*b621 + 2100*b252*b622 + 4830*b252*b623 + 1340*b252*b624 + 
    1072*b252*b625 + 4020*b252*b626 + 2688*b253*b267 + 3696*b253*b268 + 960*
    b253*b269 + 3984*b253*b270 + 1392*b253*b271 + 2880*b253*b272 + 2736*b253*
    b273 + 3744*b253*b274 + 2784*b253*b276 + 2640*b253*b277 + 912*b253*b278 + 
    4080*b253*b279 + 2496*b253*b280 + 1632*b253*b281 + 1920*b253*b282 + 3312*
    b253*b283 + 576*b253*b284 + 4080*b253*b285 + 3456*b253*b286 + 336*b253*b287
     + 2352*b253*b288 + 10528*b253*b289 + 14476*b253*b290 + 3760*b253*b291 + 
    15604*b253*b292 + 5452*b253*b293 + 11280*b253*b294 + 10716*b253*b295 + 
    14664*b253*b296 + 10904*b253*b298 + 10340*b253*b299 + 3572*b253*b300 + 
    15980*b253*b301 + 9776*b253*b302 + 6392*b253*b303 + 7520*b253*b304 + 12972*
    b253*b305 + 2256*b253*b306 + 15980*b253*b307 + 13536*b253*b308 + 1316*b253*
    b309 + 9212*b253*b310 + 1120*b253*b311 + 1540*b253*b312 + 400*b253*b313 + 
    1660*b253*b314 + 580*b253*b315 + 1200*b253*b316 + 1140*b253*b317 + 1560*
    b253*b318 + 1160*b253*b320 + 1100*b253*b321 + 380*b253*b322 + 1700*b253*
    b323 + 1040*b253*b324 + 680*b253*b325 + 800*b253*b326 + 1380*b253*b327 + 
    240*b253*b328 + 1700*b253*b329 + 1440*b253*b330 + 140*b253*b331 + 980*b253*
    b332 + 7168*b253*b333 + 9856*b253*b334 + 2560*b253*b335 + 10624*b253*b336
     + 3712*b253*b337 + 7680*b253*b338 + 7296*b253*b339 + 9984*b253*b340 + 7424
    *b253*b342 + 7040*b253*b343 + 2432*b253*b344 + 10880*b253*b345 + 6656*b253*
    b346 + 4352*b253*b347 + 5120*b253*b348 + 8832*b253*b349 + 1536*b253*b350 + 
    10880*b253*b351 + 9216*b253*b352 + 896*b253*b353 + 6272*b253*b354 + 5824*
    b253*b355 + 8008*b253*b356 + 2080*b253*b357 + 8632*b253*b358 + 3016*b253*
    b359 + 6240*b253*b360 + 5928*b253*b361 + 8112*b253*b362 + 6032*b253*b364 + 
    5720*b253*b365 + 1976*b253*b366 + 8840*b253*b367 + 5408*b253*b368 + 3536*
    b253*b369 + 4160*b253*b370 + 7176*b253*b371 + 1248*b253*b372 + 8840*b253*
    b373 + 7488*b253*b374 + 728*b253*b375 + 5096*b253*b376 + 10304*b253*b377 + 
    14168*b253*b378 + 3680*b253*b379 + 15272*b253*b380 + 5336*b253*b381 + 11040
    *b253*b382 + 10488*b253*b383 + 14352*b253*b384 + 10672*b253*b386 + 10120*
    b253*b387 + 3496*b253*b388 + 15640*b253*b389 + 9568*b253*b390 + 6256*b253*
    b391 + 7360*b253*b392 + 12696*b253*b393 + 2208*b253*b394 + 15640*b253*b395
     + 13248*b253*b396 + 1288*b253*b397 + 9016*b253*b398 + 5488*b253*b399 + 
    7546*b253*b400 + 1960*b253*b401 + 8134*b253*b402 + 2842*b253*b403 + 5880*
    b253*b404 + 5586*b253*b405 + 7644*b253*b406 + 5684*b253*b408 + 5390*b253*
    b409 + 1862*b253*b410 + 8330*b253*b411 + 5096*b253*b412 + 3332*b253*b413 + 
    3920*b253*b414 + 6762*b253*b415 + 1176*b253*b416 + 8330*b253*b417 + 7056*
    b253*b418 + 686*b253*b419 + 4802*b253*b420 + 7616*b253*b421 + 10472*b253*
    b422 + 2720*b253*b423 + 11288*b253*b424 + 3944*b253*b425 + 8160*b253*b426
     + 7752*b253*b427 + 10608*b253*b428 + 7888*b253*b430 + 7480*b253*b431 + 
    2584*b253*b432 + 11560*b253*b433 + 7072*b253*b434 + 4624*b253*b435 + 5440*
    b253*b436 + 9384*b253*b437 + 1632*b253*b438 + 11560*b253*b439 + 9792*b253*
    b440 + 952*b253*b441 + 6664*b253*b442 + 7280*b253*b443 + 10010*b253*b444 + 
    2600*b253*b445 + 10790*b253*b446 + 3770*b253*b447 + 7800*b253*b448 + 7410*
    b253*b449 + 10140*b253*b450 + 7540*b253*b452 + 7150*b253*b453 + 2470*b253*
    b454 + 11050*b253*b455 + 6760*b253*b456 + 4420*b253*b457 + 5200*b253*b458
     + 8970*b253*b459 + 1560*b253*b460 + 11050*b253*b461 + 9360*b253*b462 + 910
    *b253*b463 + 6370*b253*b464 + 7392*b253*b465 + 10164*b253*b466 + 2640*b253*
    b467 + 10956*b253*b468 + 3828*b253*b469 + 7920*b253*b470 + 7524*b253*b471
     + 10296*b253*b472 + 7656*b253*b474 + 7260*b253*b475 + 2508*b253*b476 + 
    11220*b253*b477 + 6864*b253*b478 + 4488*b253*b479 + 5280*b253*b480 + 9108*
    b253*b481 + 1584*b253*b482 + 11220*b253*b483 + 9504*b253*b484 + 924*b253*
    b485 + 6468*b253*b486 + 3136*b253*b487 + 4312*b253*b488 + 1120*b253*b489 + 
    4648*b253*b490 + 1624*b253*b491 + 3360*b253*b492 + 3192*b253*b493 + 4368*
    b253*b494 + 3248*b253*b496 + 3080*b253*b497 + 1064*b253*b498 + 4760*b253*
    b499 + 2912*b253*b500 + 1904*b253*b501 + 2240*b253*b502 + 3864*b253*b503 + 
    672*b253*b504 + 4760*b253*b505 + 4032*b253*b506 + 392*b253*b507 + 2744*b253
    *b508 + 9072*b253*b509 + 12474*b253*b510 + 3240*b253*b511 + 13446*b253*b512
     + 4698*b253*b513 + 9720*b253*b514 + 9234*b253*b515 + 12636*b253*b516 + 
    9396*b253*b518 + 8910*b253*b519 + 3078*b253*b520 + 13770*b253*b521 + 8424*
    b253*b522 + 5508*b253*b523 + 6480*b253*b524 + 11178*b253*b525 + 1944*b253*
    b526 + 13770*b253*b527 + 11664*b253*b528 + 1134*b253*b529 + 7938*b253*b530
     + 672*b253*b531 + 8904*b253*b532 + 7728*b253*b533 + 744*b253*b534 + 9858*
    b253*b535 + 8556*b253*b536 + 192*b253*b537 + 2544*b253*b538 + 2208*b253*
    b539 + 272*b253*b540 + 3604*b253*b541 + 3128*b253*b542 + 448*b253*b543 + 
    5936*b253*b544 + 5152*b253*b545 + 208*b253*b546 + 2756*b253*b547 + 2392*
    b253*b548 + 512*b253*b549 + 6784*b253*b550 + 5888*b253*b551 + 792*b253*b552
     + 10494*b253*b553 + 9108*b253*b554 + 416*b253*b555 + 5512*b253*b556 + 4784
    *b253*b557 + 192*b253*b558 + 2544*b253*b559 + 2208*b253*b560 + 192*b253*
    b564 + 2544*b253*b565 + 2208*b253*b566 + 752*b253*b567 + 9964*b253*b568 + 
    8648*b253*b569 + 80*b253*b570 + 1060*b253*b571 + 920*b253*b572 + 512*b253*
    b573 + 6784*b253*b574 + 5888*b253*b575 + 416*b253*b576 + 5512*b253*b577 + 
    4784*b253*b578 + 736*b253*b579 + 9752*b253*b580 + 8464*b253*b581 + 392*b253
    *b582 + 5194*b253*b583 + 4508*b253*b584 + 544*b253*b585 + 7208*b253*b586 + 
    6256*b253*b587 + 520*b253*b588 + 6890*b253*b589 + 5980*b253*b590 + 528*b253
    *b591 + 6996*b253*b592 + 6072*b253*b593 + 224*b253*b594 + 2968*b253*b595 + 
    2576*b253*b596 + 648*b253*b597 + 8586*b253*b598 + 7452*b253*b599 + 5390*
    b253*b600 + 1400*b253*b601 + 5810*b253*b602 + 2030*b253*b603 + 4200*b253*
    b604 + 3990*b253*b605 + 5460*b253*b606 + 4060*b253*b608 + 3850*b253*b609 + 
    1330*b253*b610 + 5950*b253*b611 + 3640*b253*b612 + 2380*b253*b613 + 3710*
    b253*b614 + 2800*b253*b615 + 4830*b253*b616 + 840*b253*b617 + 5950*b253*
    b618 + 5040*b253*b619 + 490*b253*b620 + 3430*b253*b621 + 3220*b253*b622 + 
    3920*b253*b623 + 536*b253*b624 + 7102*b253*b625 + 6164*b253*b626 + 4128*
    b254*b267 + 3552*b254*b268 + 1008*b254*b269 + 4608*b254*b270 + 528*b254*
    b271 + 3456*b254*b272 + 3024*b254*b273 + 4368*b254*b274 + 2784*b254*b275 + 
    4176*b254*b277 + 2784*b254*b278 + 816*b254*b279 + 3264*b254*b280 + 1296*
    b254*b281 + 288*b254*b282 + 3216*b254*b283 + 1248*b254*b284 + 3936*b254*
    b285 + 2112*b254*b286 + 1680*b254*b287 + 144*b254*b288 + 16168*b254*b289 + 
    13912*b254*b290 + 3948*b254*b291 + 18048*b254*b292 + 2068*b254*b293 + 13536
    *b254*b294 + 11844*b254*b295 + 17108*b254*b296 + 10904*b254*b297 + 16356*
    b254*b299 + 10904*b254*b300 + 3196*b254*b301 + 12784*b254*b302 + 5076*b254*
    b303 + 1128*b254*b304 + 12596*b254*b305 + 4888*b254*b306 + 15416*b254*b307
     + 8272*b254*b308 + 6580*b254*b309 + 564*b254*b310 + 1720*b254*b311 + 1480*
    b254*b312 + 420*b254*b313 + 1920*b254*b314 + 220*b254*b315 + 1440*b254*b316
     + 1260*b254*b317 + 1820*b254*b318 + 1160*b254*b319 + 1740*b254*b321 + 1160
    *b254*b322 + 340*b254*b323 + 1360*b254*b324 + 540*b254*b325 + 120*b254*b326
     + 1340*b254*b327 + 520*b254*b328 + 1640*b254*b329 + 880*b254*b330 + 700*
    b254*b331 + 60*b254*b332 + 11008*b254*b333 + 9472*b254*b334 + 2688*b254*
    b335 + 12288*b254*b336 + 1408*b254*b337 + 9216*b254*b338 + 8064*b254*b339
     + 11648*b254*b340 + 7424*b254*b341 + 11136*b254*b343 + 7424*b254*b344 + 
    2176*b254*b345 + 8704*b254*b346 + 3456*b254*b347 + 768*b254*b348 + 8576*
    b254*b349 + 3328*b254*b350 + 10496*b254*b351 + 5632*b254*b352 + 4480*b254*
    b353 + 384*b254*b354 + 8944*b254*b355 + 7696*b254*b356 + 2184*b254*b357 + 
    9984*b254*b358 + 1144*b254*b359 + 7488*b254*b360 + 6552*b254*b361 + 9464*
    b254*b362 + 6032*b254*b363 + 9048*b254*b365 + 6032*b254*b366 + 1768*b254*
    b367 + 7072*b254*b368 + 2808*b254*b369 + 624*b254*b370 + 6968*b254*b371 + 
    2704*b254*b372 + 8528*b254*b373 + 4576*b254*b374 + 3640*b254*b375 + 312*
    b254*b376 + 15824*b254*b377 + 13616*b254*b378 + 3864*b254*b379 + 17664*b254
    *b380 + 2024*b254*b381 + 13248*b254*b382 + 11592*b254*b383 + 16744*b254*
    b384 + 10672*b254*b385 + 16008*b254*b387 + 10672*b254*b388 + 3128*b254*b389
     + 12512*b254*b390 + 4968*b254*b391 + 1104*b254*b392 + 12328*b254*b393 + 
    4784*b254*b394 + 15088*b254*b395 + 8096*b254*b396 + 6440*b254*b397 + 552*
    b254*b398 + 8428*b254*b399 + 7252*b254*b400 + 2058*b254*b401 + 9408*b254*
    b402 + 1078*b254*b403 + 7056*b254*b404 + 6174*b254*b405 + 8918*b254*b406 + 
    5684*b254*b407 + 8526*b254*b409 + 5684*b254*b410 + 1666*b254*b411 + 6664*
    b254*b412 + 2646*b254*b413 + 588*b254*b414 + 6566*b254*b415 + 2548*b254*
    b416 + 8036*b254*b417 + 4312*b254*b418 + 3430*b254*b419 + 294*b254*b420 + 
    11696*b254*b421 + 10064*b254*b422 + 2856*b254*b423 + 13056*b254*b424 + 1496
    *b254*b425 + 9792*b254*b426 + 8568*b254*b427 + 12376*b254*b428 + 7888*b254*
    b429 + 11832*b254*b431 + 7888*b254*b432 + 2312*b254*b433 + 9248*b254*b434
     + 3672*b254*b435 + 816*b254*b436 + 9112*b254*b437 + 3536*b254*b438 + 11152
    *b254*b439 + 5984*b254*b440 + 4760*b254*b441 + 408*b254*b442 + 11180*b254*
    b443 + 9620*b254*b444 + 2730*b254*b445 + 12480*b254*b446 + 1430*b254*b447
     + 9360*b254*b448 + 8190*b254*b449 + 11830*b254*b450 + 7540*b254*b451 + 
    11310*b254*b453 + 7540*b254*b454 + 2210*b254*b455 + 8840*b254*b456 + 3510*
    b254*b457 + 780*b254*b458 + 8710*b254*b459 + 3380*b254*b460 + 10660*b254*
    b461 + 5720*b254*b462 + 4550*b254*b463 + 390*b254*b464 + 11352*b254*b465 + 
    9768*b254*b466 + 2772*b254*b467 + 12672*b254*b468 + 1452*b254*b469 + 9504*
    b254*b470 + 8316*b254*b471 + 12012*b254*b472 + 7656*b254*b473 + 11484*b254*
    b475 + 7656*b254*b476 + 2244*b254*b477 + 8976*b254*b478 + 3564*b254*b479 + 
    792*b254*b480 + 8844*b254*b481 + 3432*b254*b482 + 10824*b254*b483 + 5808*
    b254*b484 + 4620*b254*b485 + 396*b254*b486 + 4816*b254*b487 + 4144*b254*
    b488 + 1176*b254*b489 + 5376*b254*b490 + 616*b254*b491 + 4032*b254*b492 + 
    3528*b254*b493 + 5096*b254*b494 + 3248*b254*b495 + 4872*b254*b497 + 3248*
    b254*b498 + 952*b254*b499 + 3808*b254*b500 + 1512*b254*b501 + 336*b254*b502
     + 3752*b254*b503 + 1456*b254*b504 + 4592*b254*b505 + 2464*b254*b506 + 1960
    *b254*b507 + 168*b254*b508 + 13932*b254*b509 + 11988*b254*b510 + 3402*b254*
    b511 + 15552*b254*b512 + 1782*b254*b513 + 11664*b254*b514 + 10206*b254*b515
     + 14742*b254*b516 + 9396*b254*b517 + 14094*b254*b519 + 9396*b254*b520 + 
    2754*b254*b521 + 11016*b254*b522 + 4374*b254*b523 + 972*b254*b524 + 10854*
    b254*b525 + 4212*b254*b526 + 13284*b254*b527 + 7128*b254*b528 + 5670*b254*
    b529 + 486*b254*b530 + 10584*b254*b531 + 3528*b254*b532 + 10416*b254*b533
     + 11718*b254*b534 + 3906*b254*b535 + 11532*b254*b536 + 3024*b254*b537 + 
    1008*b254*b538 + 2976*b254*b539 + 4284*b254*b540 + 1428*b254*b541 + 4216*
    b254*b542 + 7056*b254*b543 + 2352*b254*b544 + 6944*b254*b545 + 3276*b254*
    b546 + 1092*b254*b547 + 3224*b254*b548 + 8064*b254*b549 + 2688*b254*b550 + 
    7936*b254*b551 + 12474*b254*b552 + 4158*b254*b553 + 12276*b254*b554 + 6552*
    b254*b555 + 2184*b254*b556 + 6448*b254*b557 + 3024*b254*b558 + 1008*b254*
    b559 + 2976*b254*b560 + 3024*b254*b564 + 1008*b254*b565 + 2976*b254*b566 + 
    11844*b254*b567 + 3948*b254*b568 + 11656*b254*b569 + 1260*b254*b570 + 420*
    b254*b571 + 1240*b254*b572 + 8064*b254*b573 + 2688*b254*b574 + 7936*b254*
    b575 + 6552*b254*b576 + 2184*b254*b577 + 6448*b254*b578 + 11592*b254*b579
     + 3864*b254*b580 + 11408*b254*b581 + 6174*b254*b582 + 2058*b254*b583 + 
    6076*b254*b584 + 8568*b254*b585 + 2856*b254*b586 + 8432*b254*b587 + 8190*
    b254*b588 + 2730*b254*b589 + 8060*b254*b590 + 8316*b254*b591 + 2772*b254*
    b592 + 8184*b254*b593 + 3528*b254*b594 + 1176*b254*b595 + 3472*b254*b596 + 
    10206*b254*b597 + 3402*b254*b598 + 10044*b254*b599 + 5180*b254*b600 + 1470*
    b254*b601 + 6720*b254*b602 + 770*b254*b603 + 5040*b254*b604 + 4410*b254*
    b605 + 6370*b254*b606 + 4060*b254*b607 + 6090*b254*b609 + 4060*b254*b610 + 
    1190*b254*b611 + 4760*b254*b612 + 1890*b254*b613 + 1470*b254*b614 + 420*
    b254*b615 + 4690*b254*b616 + 1820*b254*b617 + 5740*b254*b618 + 3080*b254*
    b619 + 2450*b254*b620 + 210*b254*b621 + 4340*b254*b622 + 6020*b254*b623 + 
    8442*b254*b624 + 2814*b254*b625 + 8308*b254*b626 + 2160*b255*b267 + 1440*
    b255*b268 + 2928*b255*b269 + 3552*b255*b270 + 3696*b255*b271 + 3552*b255*
    b272 + 288*b255*b273 + 624*b255*b274 + 2640*b255*b275 + 4176*b255*b276 + 
    384*b255*b278 + 2448*b255*b279 + 48*b255*b280 + 4368*b255*b281 + 4176*b255*
    b282 + 3456*b255*b283 + 2160*b255*b284 + 4608*b255*b285 + 336*b255*b286 + 
    4176*b255*b287 + 3264*b255*b288 + 8460*b255*b289 + 5640*b255*b290 + 11468*
    b255*b291 + 13912*b255*b292 + 14476*b255*b293 + 13912*b255*b294 + 1128*b255
    *b295 + 2444*b255*b296 + 10340*b255*b297 + 16356*b255*b298 + 1504*b255*b300
     + 9588*b255*b301 + 188*b255*b302 + 17108*b255*b303 + 16356*b255*b304 + 
    13536*b255*b305 + 8460*b255*b306 + 18048*b255*b307 + 1316*b255*b308 + 16356
    *b255*b309 + 12784*b255*b310 + 900*b255*b311 + 600*b255*b312 + 1220*b255*
    b313 + 1480*b255*b314 + 1540*b255*b315 + 1480*b255*b316 + 120*b255*b317 + 
    260*b255*b318 + 1100*b255*b319 + 1740*b255*b320 + 160*b255*b322 + 1020*b255
    *b323 + 20*b255*b324 + 1820*b255*b325 + 1740*b255*b326 + 1440*b255*b327 + 
    900*b255*b328 + 1920*b255*b329 + 140*b255*b330 + 1740*b255*b331 + 1360*b255
    *b332 + 5760*b255*b333 + 3840*b255*b334 + 7808*b255*b335 + 9472*b255*b336
     + 9856*b255*b337 + 9472*b255*b338 + 768*b255*b339 + 1664*b255*b340 + 7040*
    b255*b341 + 11136*b255*b342 + 1024*b255*b344 + 6528*b255*b345 + 128*b255*
    b346 + 11648*b255*b347 + 11136*b255*b348 + 9216*b255*b349 + 5760*b255*b350
     + 12288*b255*b351 + 896*b255*b352 + 11136*b255*b353 + 8704*b255*b354 + 
    4680*b255*b355 + 3120*b255*b356 + 6344*b255*b357 + 7696*b255*b358 + 8008*
    b255*b359 + 7696*b255*b360 + 624*b255*b361 + 1352*b255*b362 + 5720*b255*
    b363 + 9048*b255*b364 + 832*b255*b366 + 5304*b255*b367 + 104*b255*b368 + 
    9464*b255*b369 + 9048*b255*b370 + 7488*b255*b371 + 4680*b255*b372 + 9984*
    b255*b373 + 728*b255*b374 + 9048*b255*b375 + 7072*b255*b376 + 8280*b255*
    b377 + 5520*b255*b378 + 11224*b255*b379 + 13616*b255*b380 + 14168*b255*b381
     + 13616*b255*b382 + 1104*b255*b383 + 2392*b255*b384 + 10120*b255*b385 + 
    16008*b255*b386 + 1472*b255*b388 + 9384*b255*b389 + 184*b255*b390 + 16744*
    b255*b391 + 16008*b255*b392 + 13248*b255*b393 + 8280*b255*b394 + 17664*b255
    *b395 + 1288*b255*b396 + 16008*b255*b397 + 12512*b255*b398 + 4410*b255*b399
     + 2940*b255*b400 + 5978*b255*b401 + 7252*b255*b402 + 7546*b255*b403 + 7252
    *b255*b404 + 588*b255*b405 + 1274*b255*b406 + 5390*b255*b407 + 8526*b255*
    b408 + 784*b255*b410 + 4998*b255*b411 + 98*b255*b412 + 8918*b255*b413 + 
    8526*b255*b414 + 7056*b255*b415 + 4410*b255*b416 + 9408*b255*b417 + 686*
    b255*b418 + 8526*b255*b419 + 6664*b255*b420 + 6120*b255*b421 + 4080*b255*
    b422 + 8296*b255*b423 + 10064*b255*b424 + 10472*b255*b425 + 10064*b255*b426
     + 816*b255*b427 + 1768*b255*b428 + 7480*b255*b429 + 11832*b255*b430 + 1088
    *b255*b432 + 6936*b255*b433 + 136*b255*b434 + 12376*b255*b435 + 11832*b255*
    b436 + 9792*b255*b437 + 6120*b255*b438 + 13056*b255*b439 + 952*b255*b440 + 
    11832*b255*b441 + 9248*b255*b442 + 5850*b255*b443 + 3900*b255*b444 + 7930*
    b255*b445 + 9620*b255*b446 + 10010*b255*b447 + 9620*b255*b448 + 780*b255*
    b449 + 1690*b255*b450 + 7150*b255*b451 + 11310*b255*b452 + 1040*b255*b454
     + 6630*b255*b455 + 130*b255*b456 + 11830*b255*b457 + 11310*b255*b458 + 
    9360*b255*b459 + 5850*b255*b460 + 12480*b255*b461 + 910*b255*b462 + 11310*
    b255*b463 + 8840*b255*b464 + 5940*b255*b465 + 3960*b255*b466 + 8052*b255*
    b467 + 9768*b255*b468 + 10164*b255*b469 + 9768*b255*b470 + 792*b255*b471 + 
    1716*b255*b472 + 7260*b255*b473 + 11484*b255*b474 + 1056*b255*b476 + 6732*
    b255*b477 + 132*b255*b478 + 12012*b255*b479 + 11484*b255*b480 + 9504*b255*
    b481 + 5940*b255*b482 + 12672*b255*b483 + 924*b255*b484 + 11484*b255*b485
     + 8976*b255*b486 + 2520*b255*b487 + 1680*b255*b488 + 3416*b255*b489 + 4144
    *b255*b490 + 4312*b255*b491 + 4144*b255*b492 + 336*b255*b493 + 728*b255*
    b494 + 3080*b255*b495 + 4872*b255*b496 + 448*b255*b498 + 2856*b255*b499 + 
    56*b255*b500 + 5096*b255*b501 + 4872*b255*b502 + 4032*b255*b503 + 2520*b255
    *b504 + 5376*b255*b505 + 392*b255*b506 + 4872*b255*b507 + 3808*b255*b508 + 
    7290*b255*b509 + 4860*b255*b510 + 9882*b255*b511 + 11988*b255*b512 + 12474*
    b255*b513 + 11988*b255*b514 + 972*b255*b515 + 2106*b255*b516 + 8910*b255*
    b517 + 14094*b255*b518 + 1296*b255*b520 + 8262*b255*b521 + 162*b255*b522 + 
    14742*b255*b523 + 14094*b255*b524 + 11664*b255*b525 + 7290*b255*b526 + 
    15552*b255*b527 + 1134*b255*b528 + 14094*b255*b529 + 11016*b255*b530 + 1008
    *b255*b531 + 6552*b255*b532 + 5544*b255*b533 + 1116*b255*b534 + 7254*b255*
    b535 + 6138*b255*b536 + 288*b255*b537 + 1872*b255*b538 + 1584*b255*b539 + 
    408*b255*b540 + 2652*b255*b541 + 2244*b255*b542 + 672*b255*b543 + 4368*b255
    *b544 + 3696*b255*b545 + 312*b255*b546 + 2028*b255*b547 + 1716*b255*b548 + 
    768*b255*b549 + 4992*b255*b550 + 4224*b255*b551 + 1188*b255*b552 + 7722*
    b255*b553 + 6534*b255*b554 + 624*b255*b555 + 4056*b255*b556 + 3432*b255*
    b557 + 288*b255*b558 + 1872*b255*b559 + 1584*b255*b560 + 288*b255*b564 + 
    1872*b255*b565 + 1584*b255*b566 + 1128*b255*b567 + 7332*b255*b568 + 6204*
    b255*b569 + 120*b255*b570 + 780*b255*b571 + 660*b255*b572 + 768*b255*b573
     + 4992*b255*b574 + 4224*b255*b575 + 624*b255*b576 + 4056*b255*b577 + 3432*
    b255*b578 + 1104*b255*b579 + 7176*b255*b580 + 6072*b255*b581 + 588*b255*
    b582 + 3822*b255*b583 + 3234*b255*b584 + 816*b255*b585 + 5304*b255*b586 + 
    4488*b255*b587 + 780*b255*b588 + 5070*b255*b589 + 4290*b255*b590 + 792*b255
    *b591 + 5148*b255*b592 + 4356*b255*b593 + 336*b255*b594 + 2184*b255*b595 + 
    1848*b255*b596 + 972*b255*b597 + 6318*b255*b598 + 5346*b255*b599 + 2100*
    b255*b600 + 4270*b255*b601 + 5180*b255*b602 + 5390*b255*b603 + 5180*b255*
    b604 + 420*b255*b605 + 910*b255*b606 + 3850*b255*b607 + 6090*b255*b608 + 
    560*b255*b610 + 3570*b255*b611 + 70*b255*b612 + 6370*b255*b613 + 2730*b255*
    b614 + 6090*b255*b615 + 5040*b255*b616 + 3150*b255*b617 + 6720*b255*b618 + 
    490*b255*b619 + 6090*b255*b620 + 4760*b255*b621 + 2310*b255*b622 + 3150*
    b255*b623 + 804*b255*b624 + 5226*b255*b625 + 4422*b255*b626 + 4368*b256*
    b267 + 4272*b256*b268 + 3840*b256*b269 + 2160*b256*b270 + 1536*b256*b271 + 
    2208*b256*b272 + 2832*b256*b274 + 912*b256*b275 + 2784*b256*b276 + 384*b256
    *b277 + 144*b256*b279 + 1008*b256*b280 + 4320*b256*b281 + 2256*b256*b282 + 
    1200*b256*b283 + 1440*b256*b284 + 2064*b256*b285 + 4656*b256*b286 + 1584*
    b256*b287 + 1680*b256*b288 + 17108*b256*b289 + 16732*b256*b290 + 15040*b256
    *b291 + 8460*b256*b292 + 6016*b256*b293 + 8648*b256*b294 + 11092*b256*b296
     + 3572*b256*b297 + 10904*b256*b298 + 1504*b256*b299 + 564*b256*b301 + 3948
    *b256*b302 + 16920*b256*b303 + 8836*b256*b304 + 4700*b256*b305 + 5640*b256*
    b306 + 8084*b256*b307 + 18236*b256*b308 + 6204*b256*b309 + 6580*b256*b310
     + 1820*b256*b311 + 1780*b256*b312 + 1600*b256*b313 + 900*b256*b314 + 640*
    b256*b315 + 920*b256*b316 + 1180*b256*b318 + 380*b256*b319 + 1160*b256*b320
     + 160*b256*b321 + 60*b256*b323 + 420*b256*b324 + 1800*b256*b325 + 940*b256
    *b326 + 500*b256*b327 + 600*b256*b328 + 860*b256*b329 + 1940*b256*b330 + 
    660*b256*b331 + 700*b256*b332 + 11648*b256*b333 + 11392*b256*b334 + 10240*
    b256*b335 + 5760*b256*b336 + 4096*b256*b337 + 5888*b256*b338 + 7552*b256*
    b340 + 2432*b256*b341 + 7424*b256*b342 + 1024*b256*b343 + 384*b256*b345 + 
    2688*b256*b346 + 11520*b256*b347 + 6016*b256*b348 + 3200*b256*b349 + 3840*
    b256*b350 + 5504*b256*b351 + 12416*b256*b352 + 4224*b256*b353 + 4480*b256*
    b354 + 9464*b256*b355 + 9256*b256*b356 + 8320*b256*b357 + 4680*b256*b358 + 
    3328*b256*b359 + 4784*b256*b360 + 6136*b256*b362 + 1976*b256*b363 + 6032*
    b256*b364 + 832*b256*b365 + 312*b256*b367 + 2184*b256*b368 + 9360*b256*b369
     + 4888*b256*b370 + 2600*b256*b371 + 3120*b256*b372 + 4472*b256*b373 + 
    10088*b256*b374 + 3432*b256*b375 + 3640*b256*b376 + 16744*b256*b377 + 16376
    *b256*b378 + 14720*b256*b379 + 8280*b256*b380 + 5888*b256*b381 + 8464*b256*
    b382 + 10856*b256*b384 + 3496*b256*b385 + 10672*b256*b386 + 1472*b256*b387
     + 552*b256*b389 + 3864*b256*b390 + 16560*b256*b391 + 8648*b256*b392 + 4600
    *b256*b393 + 5520*b256*b394 + 7912*b256*b395 + 17848*b256*b396 + 6072*b256*
    b397 + 6440*b256*b398 + 8918*b256*b399 + 8722*b256*b400 + 7840*b256*b401 + 
    4410*b256*b402 + 3136*b256*b403 + 4508*b256*b404 + 5782*b256*b406 + 1862*
    b256*b407 + 5684*b256*b408 + 784*b256*b409 + 294*b256*b411 + 2058*b256*b412
     + 8820*b256*b413 + 4606*b256*b414 + 2450*b256*b415 + 2940*b256*b416 + 4214
    *b256*b417 + 9506*b256*b418 + 3234*b256*b419 + 3430*b256*b420 + 12376*b256*
    b421 + 12104*b256*b422 + 10880*b256*b423 + 6120*b256*b424 + 4352*b256*b425
     + 6256*b256*b426 + 8024*b256*b428 + 2584*b256*b429 + 7888*b256*b430 + 1088
    *b256*b431 + 408*b256*b433 + 2856*b256*b434 + 12240*b256*b435 + 6392*b256*
    b436 + 3400*b256*b437 + 4080*b256*b438 + 5848*b256*b439 + 13192*b256*b440
     + 4488*b256*b441 + 4760*b256*b442 + 11830*b256*b443 + 11570*b256*b444 + 
    10400*b256*b445 + 5850*b256*b446 + 4160*b256*b447 + 5980*b256*b448 + 7670*
    b256*b450 + 2470*b256*b451 + 7540*b256*b452 + 1040*b256*b453 + 390*b256*
    b455 + 2730*b256*b456 + 11700*b256*b457 + 6110*b256*b458 + 3250*b256*b459
     + 3900*b256*b460 + 5590*b256*b461 + 12610*b256*b462 + 4290*b256*b463 + 
    4550*b256*b464 + 12012*b256*b465 + 11748*b256*b466 + 10560*b256*b467 + 5940
    *b256*b468 + 4224*b256*b469 + 6072*b256*b470 + 7788*b256*b472 + 2508*b256*
    b473 + 7656*b256*b474 + 1056*b256*b475 + 396*b256*b477 + 2772*b256*b478 + 
    11880*b256*b479 + 6204*b256*b480 + 3300*b256*b481 + 3960*b256*b482 + 5676*
    b256*b483 + 12804*b256*b484 + 4356*b256*b485 + 4620*b256*b486 + 5096*b256*
    b487 + 4984*b256*b488 + 4480*b256*b489 + 2520*b256*b490 + 1792*b256*b491 + 
    2576*b256*b492 + 3304*b256*b494 + 1064*b256*b495 + 3248*b256*b496 + 448*
    b256*b497 + 168*b256*b499 + 1176*b256*b500 + 5040*b256*b501 + 2632*b256*
    b502 + 1400*b256*b503 + 1680*b256*b504 + 2408*b256*b505 + 5432*b256*b506 + 
    1848*b256*b507 + 1960*b256*b508 + 14742*b256*b509 + 14418*b256*b510 + 12960
    *b256*b511 + 7290*b256*b512 + 5184*b256*b513 + 7452*b256*b514 + 9558*b256*
    b516 + 3078*b256*b517 + 9396*b256*b518 + 1296*b256*b519 + 486*b256*b521 + 
    3402*b256*b522 + 14580*b256*b523 + 7614*b256*b524 + 4050*b256*b525 + 4860*
    b256*b526 + 6966*b256*b527 + 15714*b256*b528 + 5346*b256*b529 + 5670*b256*
    b530 + 7392*b256*b531 + 7560*b256*b532 + 10248*b256*b533 + 8184*b256*b534
     + 8370*b256*b535 + 11346*b256*b536 + 2112*b256*b537 + 2160*b256*b538 + 
    2928*b256*b539 + 2992*b256*b540 + 3060*b256*b541 + 4148*b256*b542 + 4928*
    b256*b543 + 5040*b256*b544 + 6832*b256*b545 + 2288*b256*b546 + 2340*b256*
    b547 + 3172*b256*b548 + 5632*b256*b549 + 5760*b256*b550 + 7808*b256*b551 + 
    8712*b256*b552 + 8910*b256*b553 + 12078*b256*b554 + 4576*b256*b555 + 4680*
    b256*b556 + 6344*b256*b557 + 2112*b256*b558 + 2160*b256*b559 + 2928*b256*
    b560 + 2112*b256*b564 + 2160*b256*b565 + 2928*b256*b566 + 8272*b256*b567 + 
    8460*b256*b568 + 11468*b256*b569 + 880*b256*b570 + 900*b256*b571 + 1220*
    b256*b572 + 5632*b256*b573 + 5760*b256*b574 + 7808*b256*b575 + 4576*b256*
    b576 + 4680*b256*b577 + 6344*b256*b578 + 8096*b256*b579 + 8280*b256*b580 + 
    11224*b256*b581 + 4312*b256*b582 + 4410*b256*b583 + 5978*b256*b584 + 5984*
    b256*b585 + 6120*b256*b586 + 8296*b256*b587 + 5720*b256*b588 + 5850*b256*
    b589 + 7930*b256*b590 + 5808*b256*b591 + 5940*b256*b592 + 8052*b256*b593 + 
    2464*b256*b594 + 2520*b256*b595 + 3416*b256*b596 + 7128*b256*b597 + 7290*
    b256*b598 + 9882*b256*b599 + 6230*b256*b600 + 5600*b256*b601 + 3150*b256*
    b602 + 2240*b256*b603 + 3220*b256*b604 + 4130*b256*b606 + 1330*b256*b607 + 
    4060*b256*b608 + 560*b256*b609 + 210*b256*b611 + 1470*b256*b612 + 6300*b256
    *b613 + 3150*b256*b614 + 3290*b256*b615 + 1750*b256*b616 + 2100*b256*b617
     + 3010*b256*b618 + 6790*b256*b619 + 2310*b256*b620 + 2450*b256*b621 + 4270
    *b256*b622 + 6370*b256*b623 + 5896*b256*b624 + 6030*b256*b625 + 8174*b256*
    b626 + 2832*b257*b267 + 3648*b257*b268 + 2784*b257*b269 + 3120*b257*b270 + 
    4176*b257*b271 + 624*b257*b272 + 2976*b257*b273 + 2352*b257*b274 + 4080*
    b257*b275 + 816*b257*b276 + 2448*b257*b277 + 144*b257*b278 + 2016*b257*b280
     + 1728*b257*b281 + 336*b257*b282 + 4032*b257*b283 + 288*b257*b284 + 2304*
    b257*b287 + 2976*b257*b288 + 11092*b257*b289 + 14288*b257*b290 + 10904*b257
    *b291 + 12220*b257*b292 + 16356*b257*b293 + 2444*b257*b294 + 11656*b257*
    b295 + 9212*b257*b296 + 15980*b257*b297 + 3196*b257*b298 + 9588*b257*b299
     + 564*b257*b300 + 7896*b257*b302 + 6768*b257*b303 + 1316*b257*b304 + 15792
    *b257*b305 + 1128*b257*b306 + 9024*b257*b309 + 11656*b257*b310 + 1180*b257*
    b311 + 1520*b257*b312 + 1160*b257*b313 + 1300*b257*b314 + 1740*b257*b315 + 
    260*b257*b316 + 1240*b257*b317 + 980*b257*b318 + 1700*b257*b319 + 340*b257*
    b320 + 1020*b257*b321 + 60*b257*b322 + 840*b257*b324 + 720*b257*b325 + 140*
    b257*b326 + 1680*b257*b327 + 120*b257*b328 + 960*b257*b331 + 1240*b257*b332
     + 7552*b257*b333 + 9728*b257*b334 + 7424*b257*b335 + 8320*b257*b336 + 
    11136*b257*b337 + 1664*b257*b338 + 7936*b257*b339 + 6272*b257*b340 + 10880*
    b257*b341 + 2176*b257*b342 + 6528*b257*b343 + 384*b257*b344 + 5376*b257*
    b346 + 4608*b257*b347 + 896*b257*b348 + 10752*b257*b349 + 768*b257*b350 + 
    6144*b257*b353 + 7936*b257*b354 + 6136*b257*b355 + 7904*b257*b356 + 6032*
    b257*b357 + 6760*b257*b358 + 9048*b257*b359 + 1352*b257*b360 + 6448*b257*
    b361 + 5096*b257*b362 + 8840*b257*b363 + 1768*b257*b364 + 5304*b257*b365 + 
    312*b257*b366 + 4368*b257*b368 + 3744*b257*b369 + 728*b257*b370 + 8736*b257
    *b371 + 624*b257*b372 + 4992*b257*b375 + 6448*b257*b376 + 10856*b257*b377
     + 13984*b257*b378 + 10672*b257*b379 + 11960*b257*b380 + 16008*b257*b381 + 
    2392*b257*b382 + 11408*b257*b383 + 9016*b257*b384 + 15640*b257*b385 + 3128*
    b257*b386 + 9384*b257*b387 + 552*b257*b388 + 7728*b257*b390 + 6624*b257*
    b391 + 1288*b257*b392 + 15456*b257*b393 + 1104*b257*b394 + 8832*b257*b397
     + 11408*b257*b398 + 5782*b257*b399 + 7448*b257*b400 + 5684*b257*b401 + 
    6370*b257*b402 + 8526*b257*b403 + 1274*b257*b404 + 6076*b257*b405 + 4802*
    b257*b406 + 8330*b257*b407 + 1666*b257*b408 + 4998*b257*b409 + 294*b257*
    b410 + 4116*b257*b412 + 3528*b257*b413 + 686*b257*b414 + 8232*b257*b415 + 
    588*b257*b416 + 4704*b257*b419 + 6076*b257*b420 + 8024*b257*b421 + 10336*
    b257*b422 + 7888*b257*b423 + 8840*b257*b424 + 11832*b257*b425 + 1768*b257*
    b426 + 8432*b257*b427 + 6664*b257*b428 + 11560*b257*b429 + 2312*b257*b430
     + 6936*b257*b431 + 408*b257*b432 + 5712*b257*b434 + 4896*b257*b435 + 952*
    b257*b436 + 11424*b257*b437 + 816*b257*b438 + 6528*b257*b441 + 8432*b257*
    b442 + 7670*b257*b443 + 9880*b257*b444 + 7540*b257*b445 + 8450*b257*b446 + 
    11310*b257*b447 + 1690*b257*b448 + 8060*b257*b449 + 6370*b257*b450 + 11050*
    b257*b451 + 2210*b257*b452 + 6630*b257*b453 + 390*b257*b454 + 5460*b257*
    b456 + 4680*b257*b457 + 910*b257*b458 + 10920*b257*b459 + 780*b257*b460 + 
    6240*b257*b463 + 8060*b257*b464 + 7788*b257*b465 + 10032*b257*b466 + 7656*
    b257*b467 + 8580*b257*b468 + 11484*b257*b469 + 1716*b257*b470 + 8184*b257*
    b471 + 6468*b257*b472 + 11220*b257*b473 + 2244*b257*b474 + 6732*b257*b475
     + 396*b257*b476 + 5544*b257*b478 + 4752*b257*b479 + 924*b257*b480 + 11088*
    b257*b481 + 792*b257*b482 + 6336*b257*b485 + 8184*b257*b486 + 3304*b257*
    b487 + 4256*b257*b488 + 3248*b257*b489 + 3640*b257*b490 + 4872*b257*b491 + 
    728*b257*b492 + 3472*b257*b493 + 2744*b257*b494 + 4760*b257*b495 + 952*b257
    *b496 + 2856*b257*b497 + 168*b257*b498 + 2352*b257*b500 + 2016*b257*b501 + 
    392*b257*b502 + 4704*b257*b503 + 336*b257*b504 + 2688*b257*b507 + 3472*b257
    *b508 + 9558*b257*b509 + 12312*b257*b510 + 9396*b257*b511 + 10530*b257*b512
     + 14094*b257*b513 + 2106*b257*b514 + 10044*b257*b515 + 7938*b257*b516 + 
    13770*b257*b517 + 2754*b257*b518 + 8262*b257*b519 + 486*b257*b520 + 6804*
    b257*b522 + 5832*b257*b523 + 1134*b257*b524 + 13608*b257*b525 + 972*b257*
    b526 + 7776*b257*b529 + 10044*b257*b530 + 6720*b257*b531 + 7224*b257*b532
     + 9912*b257*b533 + 7440*b257*b534 + 7998*b257*b535 + 10974*b257*b536 + 
    1920*b257*b537 + 2064*b257*b538 + 2832*b257*b539 + 2720*b257*b540 + 2924*
    b257*b541 + 4012*b257*b542 + 4480*b257*b543 + 4816*b257*b544 + 6608*b257*
    b545 + 2080*b257*b546 + 2236*b257*b547 + 3068*b257*b548 + 5120*b257*b549 + 
    5504*b257*b550 + 7552*b257*b551 + 7920*b257*b552 + 8514*b257*b553 + 11682*
    b257*b554 + 4160*b257*b555 + 4472*b257*b556 + 6136*b257*b557 + 1920*b257*
    b558 + 2064*b257*b559 + 2832*b257*b560 + 1920*b257*b564 + 2064*b257*b565 + 
    2832*b257*b566 + 7520*b257*b567 + 8084*b257*b568 + 11092*b257*b569 + 800*
    b257*b570 + 860*b257*b571 + 1180*b257*b572 + 5120*b257*b573 + 5504*b257*
    b574 + 7552*b257*b575 + 4160*b257*b576 + 4472*b257*b577 + 6136*b257*b578 + 
    7360*b257*b579 + 7912*b257*b580 + 10856*b257*b581 + 3920*b257*b582 + 4214*
    b257*b583 + 5782*b257*b584 + 5440*b257*b585 + 5848*b257*b586 + 8024*b257*
    b587 + 5200*b257*b588 + 5590*b257*b589 + 7670*b257*b590 + 5280*b257*b591 + 
    5676*b257*b592 + 7788*b257*b593 + 2240*b257*b594 + 2408*b257*b595 + 3304*
    b257*b596 + 6480*b257*b597 + 6966*b257*b598 + 9558*b257*b599 + 5320*b257*
    b600 + 4060*b257*b601 + 4550*b257*b602 + 6090*b257*b603 + 910*b257*b604 + 
    4340*b257*b605 + 3430*b257*b606 + 5950*b257*b607 + 1190*b257*b608 + 3570*
    b257*b609 + 210*b257*b610 + 2940*b257*b612 + 2520*b257*b613 + 3010*b257*
    b614 + 490*b257*b615 + 5880*b257*b616 + 420*b257*b617 + 3360*b257*b620 + 
    4340*b257*b621 + 4130*b257*b622 + 4130*b257*b623 + 5360*b257*b624 + 5762*
    b257*b625 + 7906*b257*b626 + 864*b258*b267 + 3648*b258*b268 + 1008*b258*
    b269 + 1920*b258*b270 + 3216*b258*b271 + 960*b258*b272 + 1968*b258*b273 + 
    4080*b258*b274 + 2496*b258*b275 + 3264*b258*b276 + 48*b258*b277 + 1008*b258
    *b278 + 2016*b258*b279 + 1392*b258*b281 + 3936*b258*b282 + 1392*b258*b283
     + 144*b258*b284 + 144*b258*b285 + 2448*b258*b286 + 3216*b258*b287 + 1872*
    b258*b288 + 3384*b258*b289 + 14288*b258*b290 + 3948*b258*b291 + 7520*b258*
    b292 + 12596*b258*b293 + 3760*b258*b294 + 7708*b258*b295 + 15980*b258*b296
     + 9776*b258*b297 + 12784*b258*b298 + 188*b258*b299 + 3948*b258*b300 + 7896
    *b258*b301 + 5452*b258*b303 + 15416*b258*b304 + 5452*b258*b305 + 564*b258*
    b306 + 564*b258*b307 + 9588*b258*b308 + 12596*b258*b309 + 7332*b258*b310 + 
    360*b258*b311 + 1520*b258*b312 + 420*b258*b313 + 800*b258*b314 + 1340*b258*
    b315 + 400*b258*b316 + 820*b258*b317 + 1700*b258*b318 + 1040*b258*b319 + 
    1360*b258*b320 + 20*b258*b321 + 420*b258*b322 + 840*b258*b323 + 580*b258*
    b325 + 1640*b258*b326 + 580*b258*b327 + 60*b258*b328 + 60*b258*b329 + 1020*
    b258*b330 + 1340*b258*b331 + 780*b258*b332 + 2304*b258*b333 + 9728*b258*
    b334 + 2688*b258*b335 + 5120*b258*b336 + 8576*b258*b337 + 2560*b258*b338 + 
    5248*b258*b339 + 10880*b258*b340 + 6656*b258*b341 + 8704*b258*b342 + 128*
    b258*b343 + 2688*b258*b344 + 5376*b258*b345 + 3712*b258*b347 + 10496*b258*
    b348 + 3712*b258*b349 + 384*b258*b350 + 384*b258*b351 + 6528*b258*b352 + 
    8576*b258*b353 + 4992*b258*b354 + 1872*b258*b355 + 7904*b258*b356 + 2184*
    b258*b357 + 4160*b258*b358 + 6968*b258*b359 + 2080*b258*b360 + 4264*b258*
    b361 + 8840*b258*b362 + 5408*b258*b363 + 7072*b258*b364 + 104*b258*b365 + 
    2184*b258*b366 + 4368*b258*b367 + 3016*b258*b369 + 8528*b258*b370 + 3016*
    b258*b371 + 312*b258*b372 + 312*b258*b373 + 5304*b258*b374 + 6968*b258*b375
     + 4056*b258*b376 + 3312*b258*b377 + 13984*b258*b378 + 3864*b258*b379 + 
    7360*b258*b380 + 12328*b258*b381 + 3680*b258*b382 + 7544*b258*b383 + 15640*
    b258*b384 + 9568*b258*b385 + 12512*b258*b386 + 184*b258*b387 + 3864*b258*
    b388 + 7728*b258*b389 + 5336*b258*b391 + 15088*b258*b392 + 5336*b258*b393
     + 552*b258*b394 + 552*b258*b395 + 9384*b258*b396 + 12328*b258*b397 + 7176*
    b258*b398 + 1764*b258*b399 + 7448*b258*b400 + 2058*b258*b401 + 3920*b258*
    b402 + 6566*b258*b403 + 1960*b258*b404 + 4018*b258*b405 + 8330*b258*b406 + 
    5096*b258*b407 + 6664*b258*b408 + 98*b258*b409 + 2058*b258*b410 + 4116*b258
    *b411 + 2842*b258*b413 + 8036*b258*b414 + 2842*b258*b415 + 294*b258*b416 + 
    294*b258*b417 + 4998*b258*b418 + 6566*b258*b419 + 3822*b258*b420 + 2448*
    b258*b421 + 10336*b258*b422 + 2856*b258*b423 + 5440*b258*b424 + 9112*b258*
    b425 + 2720*b258*b426 + 5576*b258*b427 + 11560*b258*b428 + 7072*b258*b429
     + 9248*b258*b430 + 136*b258*b431 + 2856*b258*b432 + 5712*b258*b433 + 3944*
    b258*b435 + 11152*b258*b436 + 3944*b258*b437 + 408*b258*b438 + 408*b258*
    b439 + 6936*b258*b440 + 9112*b258*b441 + 5304*b258*b442 + 2340*b258*b443 + 
    9880*b258*b444 + 2730*b258*b445 + 5200*b258*b446 + 8710*b258*b447 + 2600*
    b258*b448 + 5330*b258*b449 + 11050*b258*b450 + 6760*b258*b451 + 8840*b258*
    b452 + 130*b258*b453 + 2730*b258*b454 + 5460*b258*b455 + 3770*b258*b457 + 
    10660*b258*b458 + 3770*b258*b459 + 390*b258*b460 + 390*b258*b461 + 6630*
    b258*b462 + 8710*b258*b463 + 5070*b258*b464 + 2376*b258*b465 + 10032*b258*
    b466 + 2772*b258*b467 + 5280*b258*b468 + 8844*b258*b469 + 2640*b258*b470 + 
    5412*b258*b471 + 11220*b258*b472 + 6864*b258*b473 + 8976*b258*b474 + 132*
    b258*b475 + 2772*b258*b476 + 5544*b258*b477 + 3828*b258*b479 + 10824*b258*
    b480 + 3828*b258*b481 + 396*b258*b482 + 396*b258*b483 + 6732*b258*b484 + 
    8844*b258*b485 + 5148*b258*b486 + 1008*b258*b487 + 4256*b258*b488 + 1176*
    b258*b489 + 2240*b258*b490 + 3752*b258*b491 + 1120*b258*b492 + 2296*b258*
    b493 + 4760*b258*b494 + 2912*b258*b495 + 3808*b258*b496 + 56*b258*b497 + 
    1176*b258*b498 + 2352*b258*b499 + 1624*b258*b501 + 4592*b258*b502 + 1624*
    b258*b503 + 168*b258*b504 + 168*b258*b505 + 2856*b258*b506 + 3752*b258*b507
     + 2184*b258*b508 + 2916*b258*b509 + 12312*b258*b510 + 3402*b258*b511 + 
    6480*b258*b512 + 10854*b258*b513 + 3240*b258*b514 + 6642*b258*b515 + 13770*
    b258*b516 + 8424*b258*b517 + 11016*b258*b518 + 162*b258*b519 + 3402*b258*
    b520 + 6804*b258*b521 + 4698*b258*b523 + 13284*b258*b524 + 4698*b258*b525
     + 486*b258*b526 + 486*b258*b527 + 8262*b258*b528 + 10854*b258*b529 + 6318*
    b258*b530 + 12600*b258*b531 + 15792*b258*b532 + 2520*b258*b533 + 13950*b258
    *b534 + 17484*b258*b535 + 2790*b258*b536 + 3600*b258*b537 + 4512*b258*b538
     + 720*b258*b539 + 5100*b258*b540 + 6392*b258*b541 + 1020*b258*b542 + 8400*
    b258*b543 + 10528*b258*b544 + 1680*b258*b545 + 3900*b258*b546 + 4888*b258*
    b547 + 780*b258*b548 + 9600*b258*b549 + 12032*b258*b550 + 1920*b258*b551 + 
    14850*b258*b552 + 18612*b258*b553 + 2970*b258*b554 + 7800*b258*b555 + 9776*
    b258*b556 + 1560*b258*b557 + 3600*b258*b558 + 4512*b258*b559 + 720*b258*
    b560 + 3600*b258*b564 + 4512*b258*b565 + 720*b258*b566 + 14100*b258*b567 + 
    17672*b258*b568 + 2820*b258*b569 + 1500*b258*b570 + 1880*b258*b571 + 300*
    b258*b572 + 9600*b258*b573 + 12032*b258*b574 + 1920*b258*b575 + 7800*b258*
    b576 + 9776*b258*b577 + 1560*b258*b578 + 13800*b258*b579 + 17296*b258*b580
     + 2760*b258*b581 + 7350*b258*b582 + 9212*b258*b583 + 1470*b258*b584 + 
    10200*b258*b585 + 12784*b258*b586 + 2040*b258*b587 + 9750*b258*b588 + 12220
    *b258*b589 + 1950*b258*b590 + 9900*b258*b591 + 12408*b258*b592 + 1980*b258*
    b593 + 4200*b258*b594 + 5264*b258*b595 + 840*b258*b596 + 12150*b258*b597 + 
    15228*b258*b598 + 2430*b258*b599 + 5320*b258*b600 + 1470*b258*b601 + 2800*
    b258*b602 + 4690*b258*b603 + 1400*b258*b604 + 2870*b258*b605 + 5950*b258*
    b606 + 3640*b258*b607 + 4760*b258*b608 + 70*b258*b609 + 1470*b258*b610 + 
    2940*b258*b611 + 2030*b258*b613 + 6580*b258*b614 + 5740*b258*b615 + 2030*
    b258*b616 + 210*b258*b617 + 210*b258*b618 + 3570*b258*b619 + 4690*b258*b620
     + 2730*b258*b621 + 1050*b258*b622 + 1260*b258*b623 + 10050*b258*b624 + 
    12596*b258*b625 + 2010*b258*b626 + 3648*b259*b267 + 1920*b259*b268 + 3648*
    b259*b269 + 2592*b259*b270 + 4512*b259*b271 + 4128*b259*b272 + 2976*b259*
    b273 + 4032*b259*b274 + 1632*b259*b275 + 1296*b259*b276 + 4368*b259*b277 + 
    4320*b259*b278 + 1728*b259*b279 + 1392*b259*b280 + 2016*b259*b282 + 1104*
    b259*b283 + 2976*b259*b284 + 2976*b259*b285 + 1344*b259*b286 + 3648*b259*
    b287 + 3168*b259*b288 + 14288*b259*b289 + 7520*b259*b290 + 14288*b259*b291
     + 10152*b259*b292 + 17672*b259*b293 + 16168*b259*b294 + 11656*b259*b295 + 
    15792*b259*b296 + 6392*b259*b297 + 5076*b259*b298 + 17108*b259*b299 + 16920
    *b259*b300 + 6768*b259*b301 + 5452*b259*b302 + 7896*b259*b304 + 4324*b259*
    b305 + 11656*b259*b306 + 11656*b259*b307 + 5264*b259*b308 + 14288*b259*b309
     + 12408*b259*b310 + 1520*b259*b311 + 800*b259*b312 + 1520*b259*b313 + 1080
    *b259*b314 + 1880*b259*b315 + 1720*b259*b316 + 1240*b259*b317 + 1680*b259*
    b318 + 680*b259*b319 + 540*b259*b320 + 1820*b259*b321 + 1800*b259*b322 + 
    720*b259*b323 + 580*b259*b324 + 840*b259*b326 + 460*b259*b327 + 1240*b259*
    b328 + 1240*b259*b329 + 560*b259*b330 + 1520*b259*b331 + 1320*b259*b332 + 
    9728*b259*b333 + 5120*b259*b334 + 9728*b259*b335 + 6912*b259*b336 + 12032*
    b259*b337 + 11008*b259*b338 + 7936*b259*b339 + 10752*b259*b340 + 4352*b259*
    b341 + 3456*b259*b342 + 11648*b259*b343 + 11520*b259*b344 + 4608*b259*b345
     + 3712*b259*b346 + 5376*b259*b348 + 2944*b259*b349 + 7936*b259*b350 + 7936
    *b259*b351 + 3584*b259*b352 + 9728*b259*b353 + 8448*b259*b354 + 7904*b259*
    b355 + 4160*b259*b356 + 7904*b259*b357 + 5616*b259*b358 + 9776*b259*b359 + 
    8944*b259*b360 + 6448*b259*b361 + 8736*b259*b362 + 3536*b259*b363 + 2808*
    b259*b364 + 9464*b259*b365 + 9360*b259*b366 + 3744*b259*b367 + 3016*b259*
    b368 + 4368*b259*b370 + 2392*b259*b371 + 6448*b259*b372 + 6448*b259*b373 + 
    2912*b259*b374 + 7904*b259*b375 + 6864*b259*b376 + 13984*b259*b377 + 7360*
    b259*b378 + 13984*b259*b379 + 9936*b259*b380 + 17296*b259*b381 + 15824*b259
    *b382 + 11408*b259*b383 + 15456*b259*b384 + 6256*b259*b385 + 4968*b259*b386
     + 16744*b259*b387 + 16560*b259*b388 + 6624*b259*b389 + 5336*b259*b390 + 
    7728*b259*b392 + 4232*b259*b393 + 11408*b259*b394 + 11408*b259*b395 + 5152*
    b259*b396 + 13984*b259*b397 + 12144*b259*b398 + 7448*b259*b399 + 3920*b259*
    b400 + 7448*b259*b401 + 5292*b259*b402 + 9212*b259*b403 + 8428*b259*b404 + 
    6076*b259*b405 + 8232*b259*b406 + 3332*b259*b407 + 2646*b259*b408 + 8918*
    b259*b409 + 8820*b259*b410 + 3528*b259*b411 + 2842*b259*b412 + 4116*b259*
    b414 + 2254*b259*b415 + 6076*b259*b416 + 6076*b259*b417 + 2744*b259*b418 + 
    7448*b259*b419 + 6468*b259*b420 + 10336*b259*b421 + 5440*b259*b422 + 10336*
    b259*b423 + 7344*b259*b424 + 12784*b259*b425 + 11696*b259*b426 + 8432*b259*
    b427 + 11424*b259*b428 + 4624*b259*b429 + 3672*b259*b430 + 12376*b259*b431
     + 12240*b259*b432 + 4896*b259*b433 + 3944*b259*b434 + 5712*b259*b436 + 
    3128*b259*b437 + 8432*b259*b438 + 8432*b259*b439 + 3808*b259*b440 + 10336*
    b259*b441 + 8976*b259*b442 + 9880*b259*b443 + 5200*b259*b444 + 9880*b259*
    b445 + 7020*b259*b446 + 12220*b259*b447 + 11180*b259*b448 + 8060*b259*b449
     + 10920*b259*b450 + 4420*b259*b451 + 3510*b259*b452 + 11830*b259*b453 + 
    11700*b259*b454 + 4680*b259*b455 + 3770*b259*b456 + 5460*b259*b458 + 2990*
    b259*b459 + 8060*b259*b460 + 8060*b259*b461 + 3640*b259*b462 + 9880*b259*
    b463 + 8580*b259*b464 + 10032*b259*b465 + 5280*b259*b466 + 10032*b259*b467
     + 7128*b259*b468 + 12408*b259*b469 + 11352*b259*b470 + 8184*b259*b471 + 
    11088*b259*b472 + 4488*b259*b473 + 3564*b259*b474 + 12012*b259*b475 + 11880
    *b259*b476 + 4752*b259*b477 + 3828*b259*b478 + 5544*b259*b480 + 3036*b259*
    b481 + 8184*b259*b482 + 8184*b259*b483 + 3696*b259*b484 + 10032*b259*b485
     + 8712*b259*b486 + 4256*b259*b487 + 2240*b259*b488 + 4256*b259*b489 + 3024
    *b259*b490 + 5264*b259*b491 + 4816*b259*b492 + 3472*b259*b493 + 4704*b259*
    b494 + 1904*b259*b495 + 1512*b259*b496 + 5096*b259*b497 + 5040*b259*b498 + 
    2016*b259*b499 + 1624*b259*b500 + 2352*b259*b502 + 1288*b259*b503 + 3472*
    b259*b504 + 3472*b259*b505 + 1568*b259*b506 + 4256*b259*b507 + 3696*b259*
    b508 + 12312*b259*b509 + 6480*b259*b510 + 12312*b259*b511 + 8748*b259*b512
     + 15228*b259*b513 + 13932*b259*b514 + 10044*b259*b515 + 13608*b259*b516 + 
    5508*b259*b517 + 4374*b259*b518 + 14742*b259*b519 + 14580*b259*b520 + 5832*
    b259*b521 + 4698*b259*b522 + 6804*b259*b524 + 3726*b259*b525 + 10044*b259*
    b526 + 10044*b259*b527 + 4536*b259*b528 + 12312*b259*b529 + 10692*b259*b530
     + 13272*b259*b531 + 11088*b259*b532 + 13776*b259*b533 + 14694*b259*b534 + 
    12276*b259*b535 + 15252*b259*b536 + 3792*b259*b537 + 3168*b259*b538 + 3936*
    b259*b539 + 5372*b259*b540 + 4488*b259*b541 + 5576*b259*b542 + 8848*b259*
    b543 + 7392*b259*b544 + 9184*b259*b545 + 4108*b259*b546 + 3432*b259*b547 + 
    4264*b259*b548 + 10112*b259*b549 + 8448*b259*b550 + 10496*b259*b551 + 15642
    *b259*b552 + 13068*b259*b553 + 16236*b259*b554 + 8216*b259*b555 + 6864*b259
    *b556 + 8528*b259*b557 + 3792*b259*b558 + 3168*b259*b559 + 3936*b259*b560
     + 3792*b259*b564 + 3168*b259*b565 + 3936*b259*b566 + 14852*b259*b567 + 
    12408*b259*b568 + 15416*b259*b569 + 1580*b259*b570 + 1320*b259*b571 + 1640*
    b259*b572 + 10112*b259*b573 + 8448*b259*b574 + 10496*b259*b575 + 8216*b259*
    b576 + 6864*b259*b577 + 8528*b259*b578 + 14536*b259*b579 + 12144*b259*b580
     + 15088*b259*b581 + 7742*b259*b582 + 6468*b259*b583 + 8036*b259*b584 + 
    10744*b259*b585 + 8976*b259*b586 + 11152*b259*b587 + 10270*b259*b588 + 8580
    *b259*b589 + 10660*b259*b590 + 10428*b259*b591 + 8712*b259*b592 + 10824*
    b259*b593 + 4424*b259*b594 + 3696*b259*b595 + 4592*b259*b596 + 12798*b259*
    b597 + 10692*b259*b598 + 13284*b259*b599 + 2800*b259*b600 + 5320*b259*b601
     + 3780*b259*b602 + 6580*b259*b603 + 6020*b259*b604 + 4340*b259*b605 + 5880
    *b259*b606 + 2380*b259*b607 + 1890*b259*b608 + 6370*b259*b609 + 6300*b259*
    b610 + 2520*b259*b611 + 2030*b259*b612 + 4620*b259*b614 + 2940*b259*b615 + 
    1610*b259*b616 + 4340*b259*b617 + 4340*b259*b618 + 1960*b259*b619 + 5320*
    b259*b620 + 4620*b259*b621 + 5740*b259*b622 + 5320*b259*b623 + 10586*b259*
    b624 + 8844*b259*b625 + 10988*b259*b626 + 864*b260*b267 + 2688*b260*b268 + 
    2112*b260*b269 + 672*b260*b270 + 96*b260*b271 + 3696*b260*b272 + 1200*b260*
    b273 + 1824*b260*b274 + 1920*b260*b275 + 288*b260*b276 + 4176*b260*b277 + 
    2256*b260*b278 + 336*b260*b279 + 3936*b260*b280 + 2016*b260*b281 + 4128*
    b260*b283 + 2880*b260*b284 + 2976*b260*b285 + 2976*b260*b286 + 3984*b260*
    b287 + 4368*b260*b288 + 3384*b260*b289 + 10528*b260*b290 + 8272*b260*b291
     + 2632*b260*b292 + 376*b260*b293 + 14476*b260*b294 + 4700*b260*b295 + 7144
    *b260*b296 + 7520*b260*b297 + 1128*b260*b298 + 16356*b260*b299 + 8836*b260*
    b300 + 1316*b260*b301 + 15416*b260*b302 + 7896*b260*b303 + 16168*b260*b305
     + 11280*b260*b306 + 11656*b260*b307 + 11656*b260*b308 + 15604*b260*b309 + 
    17108*b260*b310 + 360*b260*b311 + 1120*b260*b312 + 880*b260*b313 + 280*b260
    *b314 + 40*b260*b315 + 1540*b260*b316 + 500*b260*b317 + 760*b260*b318 + 800
    *b260*b319 + 120*b260*b320 + 1740*b260*b321 + 940*b260*b322 + 140*b260*b323
     + 1640*b260*b324 + 840*b260*b325 + 1720*b260*b327 + 1200*b260*b328 + 1240*
    b260*b329 + 1240*b260*b330 + 1660*b260*b331 + 1820*b260*b332 + 2304*b260*
    b333 + 7168*b260*b334 + 5632*b260*b335 + 1792*b260*b336 + 256*b260*b337 + 
    9856*b260*b338 + 3200*b260*b339 + 4864*b260*b340 + 5120*b260*b341 + 768*
    b260*b342 + 11136*b260*b343 + 6016*b260*b344 + 896*b260*b345 + 10496*b260*
    b346 + 5376*b260*b347 + 11008*b260*b349 + 7680*b260*b350 + 7936*b260*b351
     + 7936*b260*b352 + 10624*b260*b353 + 11648*b260*b354 + 1872*b260*b355 + 
    5824*b260*b356 + 4576*b260*b357 + 1456*b260*b358 + 208*b260*b359 + 8008*
    b260*b360 + 2600*b260*b361 + 3952*b260*b362 + 4160*b260*b363 + 624*b260*
    b364 + 9048*b260*b365 + 4888*b260*b366 + 728*b260*b367 + 8528*b260*b368 + 
    4368*b260*b369 + 8944*b260*b371 + 6240*b260*b372 + 6448*b260*b373 + 6448*
    b260*b374 + 8632*b260*b375 + 9464*b260*b376 + 3312*b260*b377 + 10304*b260*
    b378 + 8096*b260*b379 + 2576*b260*b380 + 368*b260*b381 + 14168*b260*b382 + 
    4600*b260*b383 + 6992*b260*b384 + 7360*b260*b385 + 1104*b260*b386 + 16008*
    b260*b387 + 8648*b260*b388 + 1288*b260*b389 + 15088*b260*b390 + 7728*b260*
    b391 + 15824*b260*b393 + 11040*b260*b394 + 11408*b260*b395 + 11408*b260*
    b396 + 15272*b260*b397 + 16744*b260*b398 + 1764*b260*b399 + 5488*b260*b400
     + 4312*b260*b401 + 1372*b260*b402 + 196*b260*b403 + 7546*b260*b404 + 2450*
    b260*b405 + 3724*b260*b406 + 3920*b260*b407 + 588*b260*b408 + 8526*b260*
    b409 + 4606*b260*b410 + 686*b260*b411 + 8036*b260*b412 + 4116*b260*b413 + 
    8428*b260*b415 + 5880*b260*b416 + 6076*b260*b417 + 6076*b260*b418 + 8134*
    b260*b419 + 8918*b260*b420 + 2448*b260*b421 + 7616*b260*b422 + 5984*b260*
    b423 + 1904*b260*b424 + 272*b260*b425 + 10472*b260*b426 + 3400*b260*b427 + 
    5168*b260*b428 + 5440*b260*b429 + 816*b260*b430 + 11832*b260*b431 + 6392*
    b260*b432 + 952*b260*b433 + 11152*b260*b434 + 5712*b260*b435 + 11696*b260*
    b437 + 8160*b260*b438 + 8432*b260*b439 + 8432*b260*b440 + 11288*b260*b441
     + 12376*b260*b442 + 2340*b260*b443 + 7280*b260*b444 + 5720*b260*b445 + 
    1820*b260*b446 + 260*b260*b447 + 10010*b260*b448 + 3250*b260*b449 + 4940*
    b260*b450 + 5200*b260*b451 + 780*b260*b452 + 11310*b260*b453 + 6110*b260*
    b454 + 910*b260*b455 + 10660*b260*b456 + 5460*b260*b457 + 11180*b260*b459
     + 7800*b260*b460 + 8060*b260*b461 + 8060*b260*b462 + 10790*b260*b463 + 
    11830*b260*b464 + 2376*b260*b465 + 7392*b260*b466 + 5808*b260*b467 + 1848*
    b260*b468 + 264*b260*b469 + 10164*b260*b470 + 3300*b260*b471 + 5016*b260*
    b472 + 5280*b260*b473 + 792*b260*b474 + 11484*b260*b475 + 6204*b260*b476 + 
    924*b260*b477 + 10824*b260*b478 + 5544*b260*b479 + 11352*b260*b481 + 7920*
    b260*b482 + 8184*b260*b483 + 8184*b260*b484 + 10956*b260*b485 + 12012*b260*
    b486 + 1008*b260*b487 + 3136*b260*b488 + 2464*b260*b489 + 784*b260*b490 + 
    112*b260*b491 + 4312*b260*b492 + 1400*b260*b493 + 2128*b260*b494 + 2240*
    b260*b495 + 336*b260*b496 + 4872*b260*b497 + 2632*b260*b498 + 392*b260*b499
     + 4592*b260*b500 + 2352*b260*b501 + 4816*b260*b503 + 3360*b260*b504 + 3472
    *b260*b505 + 3472*b260*b506 + 4648*b260*b507 + 5096*b260*b508 + 2916*b260*
    b509 + 9072*b260*b510 + 7128*b260*b511 + 2268*b260*b512 + 324*b260*b513 + 
    12474*b260*b514 + 4050*b260*b515 + 6156*b260*b516 + 6480*b260*b517 + 972*
    b260*b518 + 14094*b260*b519 + 7614*b260*b520 + 1134*b260*b521 + 13284*b260*
    b522 + 6804*b260*b523 + 13932*b260*b525 + 9720*b260*b526 + 10044*b260*b527
     + 10044*b260*b528 + 13446*b260*b529 + 14742*b260*b530 + 14952*b260*b531 + 
    16464*b260*b532 + 9576*b260*b533 + 16554*b260*b534 + 18228*b260*b535 + 
    10602*b260*b536 + 4272*b260*b537 + 4704*b260*b538 + 2736*b260*b539 + 6052*
    b260*b540 + 6664*b260*b541 + 3876*b260*b542 + 9968*b260*b543 + 10976*b260*
    b544 + 6384*b260*b545 + 4628*b260*b546 + 5096*b260*b547 + 2964*b260*b548 + 
    11392*b260*b549 + 12544*b260*b550 + 7296*b260*b551 + 17622*b260*b552 + 
    19404*b260*b553 + 11286*b260*b554 + 9256*b260*b555 + 10192*b260*b556 + 5928
    *b260*b557 + 4272*b260*b558 + 4704*b260*b559 + 2736*b260*b560 + 4272*b260*
    b564 + 4704*b260*b565 + 2736*b260*b566 + 16732*b260*b567 + 18424*b260*b568
     + 10716*b260*b569 + 1780*b260*b570 + 1960*b260*b571 + 1140*b260*b572 + 
    11392*b260*b573 + 12544*b260*b574 + 7296*b260*b575 + 9256*b260*b576 + 10192
    *b260*b577 + 5928*b260*b578 + 16376*b260*b579 + 18032*b260*b580 + 10488*
    b260*b581 + 8722*b260*b582 + 9604*b260*b583 + 5586*b260*b584 + 12104*b260*
    b585 + 13328*b260*b586 + 7752*b260*b587 + 11570*b260*b588 + 12740*b260*b589
     + 7410*b260*b590 + 11748*b260*b591 + 12936*b260*b592 + 7524*b260*b593 + 
    4984*b260*b594 + 5488*b260*b595 + 3192*b260*b596 + 14418*b260*b597 + 15876*
    b260*b598 + 9234*b260*b599 + 3920*b260*b600 + 3080*b260*b601 + 980*b260*
    b602 + 140*b260*b603 + 5390*b260*b604 + 1750*b260*b605 + 2660*b260*b606 + 
    2800*b260*b607 + 420*b260*b608 + 6090*b260*b609 + 3290*b260*b610 + 490*b260
    *b611 + 5740*b260*b612 + 2940*b260*b613 + 6860*b260*b614 + 6020*b260*b616
     + 4200*b260*b617 + 4340*b260*b618 + 4340*b260*b619 + 5810*b260*b620 + 6370
    *b260*b621 + 3990*b260*b622 + 1260*b260*b623 + 11926*b260*b624 + 13132*b260
    *b625 + 7638*b260*b626 + 2736*b261*b267 + 48*b261*b268 + 4080*b261*b269 + 
    3408*b261*b270 + 480*b261*b271 + 720*b261*b272 + 3600*b261*b273 + 1968*b261
    *b274 + 3312*b261*b275 + 3216*b261*b276 + 3456*b261*b277 + 1200*b261*b278
     + 4032*b261*b279 + 1392*b261*b280 + 1104*b261*b281 + 4128*b261*b282 + 2976
    *b261*b284 + 1728*b261*b285 + 96*b261*b286 + 96*b261*b287 + 2064*b261*b288
     + 10716*b261*b289 + 188*b261*b290 + 15980*b261*b291 + 13348*b261*b292 + 
    1880*b261*b293 + 2820*b261*b294 + 14100*b261*b295 + 7708*b261*b296 + 12972*
    b261*b297 + 12596*b261*b298 + 13536*b261*b299 + 4700*b261*b300 + 15792*b261
    *b301 + 5452*b261*b302 + 4324*b261*b303 + 16168*b261*b304 + 11656*b261*b306
     + 6768*b261*b307 + 376*b261*b308 + 376*b261*b309 + 8084*b261*b310 + 1140*
    b261*b311 + 20*b261*b312 + 1700*b261*b313 + 1420*b261*b314 + 200*b261*b315
     + 300*b261*b316 + 1500*b261*b317 + 820*b261*b318 + 1380*b261*b319 + 1340*
    b261*b320 + 1440*b261*b321 + 500*b261*b322 + 1680*b261*b323 + 580*b261*b324
     + 460*b261*b325 + 1720*b261*b326 + 1240*b261*b328 + 720*b261*b329 + 40*
    b261*b330 + 40*b261*b331 + 860*b261*b332 + 7296*b261*b333 + 128*b261*b334
     + 10880*b261*b335 + 9088*b261*b336 + 1280*b261*b337 + 1920*b261*b338 + 
    9600*b261*b339 + 5248*b261*b340 + 8832*b261*b341 + 8576*b261*b342 + 9216*
    b261*b343 + 3200*b261*b344 + 10752*b261*b345 + 3712*b261*b346 + 2944*b261*
    b347 + 11008*b261*b348 + 7936*b261*b350 + 4608*b261*b351 + 256*b261*b352 + 
    256*b261*b353 + 5504*b261*b354 + 5928*b261*b355 + 104*b261*b356 + 8840*b261
    *b357 + 7384*b261*b358 + 1040*b261*b359 + 1560*b261*b360 + 7800*b261*b361
     + 4264*b261*b362 + 7176*b261*b363 + 6968*b261*b364 + 7488*b261*b365 + 2600
    *b261*b366 + 8736*b261*b367 + 3016*b261*b368 + 2392*b261*b369 + 8944*b261*
    b370 + 6448*b261*b372 + 3744*b261*b373 + 208*b261*b374 + 208*b261*b375 + 
    4472*b261*b376 + 10488*b261*b377 + 184*b261*b378 + 15640*b261*b379 + 13064*
    b261*b380 + 1840*b261*b381 + 2760*b261*b382 + 13800*b261*b383 + 7544*b261*
    b384 + 12696*b261*b385 + 12328*b261*b386 + 13248*b261*b387 + 4600*b261*b388
     + 15456*b261*b389 + 5336*b261*b390 + 4232*b261*b391 + 15824*b261*b392 + 
    11408*b261*b394 + 6624*b261*b395 + 368*b261*b396 + 368*b261*b397 + 7912*
    b261*b398 + 5586*b261*b399 + 98*b261*b400 + 8330*b261*b401 + 6958*b261*b402
     + 980*b261*b403 + 1470*b261*b404 + 7350*b261*b405 + 4018*b261*b406 + 6762*
    b261*b407 + 6566*b261*b408 + 7056*b261*b409 + 2450*b261*b410 + 8232*b261*
    b411 + 2842*b261*b412 + 2254*b261*b413 + 8428*b261*b414 + 6076*b261*b416 + 
    3528*b261*b417 + 196*b261*b418 + 196*b261*b419 + 4214*b261*b420 + 7752*b261
    *b421 + 136*b261*b422 + 11560*b261*b423 + 9656*b261*b424 + 1360*b261*b425
     + 2040*b261*b426 + 10200*b261*b427 + 5576*b261*b428 + 9384*b261*b429 + 
    9112*b261*b430 + 9792*b261*b431 + 3400*b261*b432 + 11424*b261*b433 + 3944*
    b261*b434 + 3128*b261*b435 + 11696*b261*b436 + 8432*b261*b438 + 4896*b261*
    b439 + 272*b261*b440 + 272*b261*b441 + 5848*b261*b442 + 7410*b261*b443 + 
    130*b261*b444 + 11050*b261*b445 + 9230*b261*b446 + 1300*b261*b447 + 1950*
    b261*b448 + 9750*b261*b449 + 5330*b261*b450 + 8970*b261*b451 + 8710*b261*
    b452 + 9360*b261*b453 + 3250*b261*b454 + 10920*b261*b455 + 3770*b261*b456
     + 2990*b261*b457 + 11180*b261*b458 + 8060*b261*b460 + 4680*b261*b461 + 260
    *b261*b462 + 260*b261*b463 + 5590*b261*b464 + 7524*b261*b465 + 132*b261*
    b466 + 11220*b261*b467 + 9372*b261*b468 + 1320*b261*b469 + 1980*b261*b470
     + 9900*b261*b471 + 5412*b261*b472 + 9108*b261*b473 + 8844*b261*b474 + 9504
    *b261*b475 + 3300*b261*b476 + 11088*b261*b477 + 3828*b261*b478 + 3036*b261*
    b479 + 11352*b261*b480 + 8184*b261*b482 + 4752*b261*b483 + 264*b261*b484 + 
    264*b261*b485 + 5676*b261*b486 + 3192*b261*b487 + 56*b261*b488 + 4760*b261*
    b489 + 3976*b261*b490 + 560*b261*b491 + 840*b261*b492 + 4200*b261*b493 + 
    2296*b261*b494 + 3864*b261*b495 + 3752*b261*b496 + 4032*b261*b497 + 1400*
    b261*b498 + 4704*b261*b499 + 1624*b261*b500 + 1288*b261*b501 + 4816*b261*
    b502 + 3472*b261*b504 + 2016*b261*b505 + 112*b261*b506 + 112*b261*b507 + 
    2408*b261*b508 + 9234*b261*b509 + 162*b261*b510 + 13770*b261*b511 + 11502*
    b261*b512 + 1620*b261*b513 + 2430*b261*b514 + 12150*b261*b515 + 6642*b261*
    b516 + 11178*b261*b517 + 10854*b261*b518 + 11664*b261*b519 + 4050*b261*b520
     + 13608*b261*b521 + 4698*b261*b522 + 3726*b261*b523 + 13932*b261*b524 + 
    10044*b261*b526 + 5832*b261*b527 + 324*b261*b528 + 324*b261*b529 + 6966*
    b261*b530 + 5880*b261*b531 + 5880*b261*b532 + 10920*b261*b533 + 6510*b261*
    b534 + 6510*b261*b535 + 12090*b261*b536 + 1680*b261*b537 + 1680*b261*b538
     + 3120*b261*b539 + 2380*b261*b540 + 2380*b261*b541 + 4420*b261*b542 + 3920
    *b261*b543 + 3920*b261*b544 + 7280*b261*b545 + 1820*b261*b546 + 1820*b261*
    b547 + 3380*b261*b548 + 4480*b261*b549 + 4480*b261*b550 + 8320*b261*b551 + 
    6930*b261*b552 + 6930*b261*b553 + 12870*b261*b554 + 3640*b261*b555 + 3640*
    b261*b556 + 6760*b261*b557 + 1680*b261*b558 + 1680*b261*b559 + 3120*b261*
    b560 + 1680*b261*b564 + 1680*b261*b565 + 3120*b261*b566 + 6580*b261*b567 + 
    6580*b261*b568 + 12220*b261*b569 + 700*b261*b570 + 700*b261*b571 + 1300*
    b261*b572 + 4480*b261*b573 + 4480*b261*b574 + 8320*b261*b575 + 3640*b261*
    b576 + 3640*b261*b577 + 6760*b261*b578 + 6440*b261*b579 + 6440*b261*b580 + 
    11960*b261*b581 + 3430*b261*b582 + 3430*b261*b583 + 6370*b261*b584 + 4760*
    b261*b585 + 4760*b261*b586 + 8840*b261*b587 + 4550*b261*b588 + 4550*b261*
    b589 + 8450*b261*b590 + 4620*b261*b591 + 4620*b261*b592 + 8580*b261*b593 + 
    1960*b261*b594 + 1960*b261*b595 + 3640*b261*b596 + 5670*b261*b597 + 5670*
    b261*b598 + 10530*b261*b599 + 70*b261*b600 + 5950*b261*b601 + 4970*b261*
    b602 + 700*b261*b603 + 1050*b261*b604 + 5250*b261*b605 + 2870*b261*b606 + 
    4830*b261*b607 + 4690*b261*b608 + 5040*b261*b609 + 1750*b261*b610 + 5880*
    b261*b611 + 2030*b261*b612 + 1610*b261*b613 + 2450*b261*b614 + 6020*b261*
    b615 + 4340*b261*b617 + 2520*b261*b618 + 140*b261*b619 + 140*b261*b620 + 
    3010*b261*b621 + 4550*b261*b622 + 3990*b261*b623 + 4690*b261*b624 + 4690*
    b261*b625 + 8710*b261*b626 + 1728*b262*b267 + 2400*b262*b268 + 4512*b262*
    b269 + 3696*b262*b270 + 4752*b262*b271 + 4272*b262*b272 + 3648*b262*b273 + 
    2688*b262*b274 + 576*b262*b275 + 1248*b262*b276 + 2160*b262*b277 + 1440*
    b262*b278 + 288*b262*b279 + 144*b262*b280 + 2976*b262*b281 + 2880*b262*b282
     + 2976*b262*b283 + 1776*b262*b285 + 2352*b262*b286 + 2928*b262*b287 + 240*
    b262*b288 + 6768*b262*b289 + 9400*b262*b290 + 17672*b262*b291 + 14476*b262*
    b292 + 18612*b262*b293 + 16732*b262*b294 + 14288*b262*b295 + 10528*b262*
    b296 + 2256*b262*b297 + 4888*b262*b298 + 8460*b262*b299 + 5640*b262*b300 + 
    1128*b262*b301 + 564*b262*b302 + 11656*b262*b303 + 11280*b262*b304 + 11656*
    b262*b305 + 6956*b262*b307 + 9212*b262*b308 + 11468*b262*b309 + 940*b262*
    b310 + 720*b262*b311 + 1000*b262*b312 + 1880*b262*b313 + 1540*b262*b314 + 
    1980*b262*b315 + 1780*b262*b316 + 1520*b262*b317 + 1120*b262*b318 + 240*
    b262*b319 + 520*b262*b320 + 900*b262*b321 + 600*b262*b322 + 120*b262*b323
     + 60*b262*b324 + 1240*b262*b325 + 1200*b262*b326 + 1240*b262*b327 + 740*
    b262*b329 + 980*b262*b330 + 1220*b262*b331 + 100*b262*b332 + 4608*b262*b333
     + 6400*b262*b334 + 12032*b262*b335 + 9856*b262*b336 + 12672*b262*b337 + 
    11392*b262*b338 + 9728*b262*b339 + 7168*b262*b340 + 1536*b262*b341 + 3328*
    b262*b342 + 5760*b262*b343 + 3840*b262*b344 + 768*b262*b345 + 384*b262*b346
     + 7936*b262*b347 + 7680*b262*b348 + 7936*b262*b349 + 4736*b262*b351 + 6272
    *b262*b352 + 7808*b262*b353 + 640*b262*b354 + 3744*b262*b355 + 5200*b262*
    b356 + 9776*b262*b357 + 8008*b262*b358 + 10296*b262*b359 + 9256*b262*b360
     + 7904*b262*b361 + 5824*b262*b362 + 1248*b262*b363 + 2704*b262*b364 + 4680
    *b262*b365 + 3120*b262*b366 + 624*b262*b367 + 312*b262*b368 + 6448*b262*
    b369 + 6240*b262*b370 + 6448*b262*b371 + 3848*b262*b373 + 5096*b262*b374 + 
    6344*b262*b375 + 520*b262*b376 + 6624*b262*b377 + 9200*b262*b378 + 17296*
    b262*b379 + 14168*b262*b380 + 18216*b262*b381 + 16376*b262*b382 + 13984*
    b262*b383 + 10304*b262*b384 + 2208*b262*b385 + 4784*b262*b386 + 8280*b262*
    b387 + 5520*b262*b388 + 1104*b262*b389 + 552*b262*b390 + 11408*b262*b391 + 
    11040*b262*b392 + 11408*b262*b393 + 6808*b262*b395 + 9016*b262*b396 + 11224
    *b262*b397 + 920*b262*b398 + 3528*b262*b399 + 4900*b262*b400 + 9212*b262*
    b401 + 7546*b262*b402 + 9702*b262*b403 + 8722*b262*b404 + 7448*b262*b405 + 
    5488*b262*b406 + 1176*b262*b407 + 2548*b262*b408 + 4410*b262*b409 + 2940*
    b262*b410 + 588*b262*b411 + 294*b262*b412 + 6076*b262*b413 + 5880*b262*b414
     + 6076*b262*b415 + 3626*b262*b417 + 4802*b262*b418 + 5978*b262*b419 + 490*
    b262*b420 + 4896*b262*b421 + 6800*b262*b422 + 12784*b262*b423 + 10472*b262*
    b424 + 13464*b262*b425 + 12104*b262*b426 + 10336*b262*b427 + 7616*b262*b428
     + 1632*b262*b429 + 3536*b262*b430 + 6120*b262*b431 + 4080*b262*b432 + 816*
    b262*b433 + 408*b262*b434 + 8432*b262*b435 + 8160*b262*b436 + 8432*b262*
    b437 + 5032*b262*b439 + 6664*b262*b440 + 8296*b262*b441 + 680*b262*b442 + 
    4680*b262*b443 + 6500*b262*b444 + 12220*b262*b445 + 10010*b262*b446 + 12870
    *b262*b447 + 11570*b262*b448 + 9880*b262*b449 + 7280*b262*b450 + 1560*b262*
    b451 + 3380*b262*b452 + 5850*b262*b453 + 3900*b262*b454 + 780*b262*b455 + 
    390*b262*b456 + 8060*b262*b457 + 7800*b262*b458 + 8060*b262*b459 + 4810*
    b262*b461 + 6370*b262*b462 + 7930*b262*b463 + 650*b262*b464 + 4752*b262*
    b465 + 6600*b262*b466 + 12408*b262*b467 + 10164*b262*b468 + 13068*b262*b469
     + 11748*b262*b470 + 10032*b262*b471 + 7392*b262*b472 + 1584*b262*b473 + 
    3432*b262*b474 + 5940*b262*b475 + 3960*b262*b476 + 792*b262*b477 + 396*b262
    *b478 + 8184*b262*b479 + 7920*b262*b480 + 8184*b262*b481 + 4884*b262*b483
     + 6468*b262*b484 + 8052*b262*b485 + 660*b262*b486 + 2016*b262*b487 + 2800*
    b262*b488 + 5264*b262*b489 + 4312*b262*b490 + 5544*b262*b491 + 4984*b262*
    b492 + 4256*b262*b493 + 3136*b262*b494 + 672*b262*b495 + 1456*b262*b496 + 
    2520*b262*b497 + 1680*b262*b498 + 336*b262*b499 + 168*b262*b500 + 3472*b262
    *b501 + 3360*b262*b502 + 3472*b262*b503 + 2072*b262*b505 + 2744*b262*b506
     + 3416*b262*b507 + 280*b262*b508 + 5832*b262*b509 + 8100*b262*b510 + 15228
    *b262*b511 + 12474*b262*b512 + 16038*b262*b513 + 14418*b262*b514 + 12312*
    b262*b515 + 9072*b262*b516 + 1944*b262*b517 + 4212*b262*b518 + 7290*b262*
    b519 + 4860*b262*b520 + 972*b262*b521 + 486*b262*b522 + 10044*b262*b523 + 
    9720*b262*b524 + 10044*b262*b525 + 5994*b262*b527 + 7938*b262*b528 + 9882*
    b262*b529 + 810*b262*b530 + 1512*b262*b531 + 2520*b262*b532 + 5712*b262*
    b533 + 1674*b262*b534 + 2790*b262*b535 + 6324*b262*b536 + 432*b262*b537 + 
    720*b262*b538 + 1632*b262*b539 + 612*b262*b540 + 1020*b262*b541 + 2312*b262
    *b542 + 1008*b262*b543 + 1680*b262*b544 + 3808*b262*b545 + 468*b262*b546 + 
    780*b262*b547 + 1768*b262*b548 + 1152*b262*b549 + 1920*b262*b550 + 4352*
    b262*b551 + 1782*b262*b552 + 2970*b262*b553 + 6732*b262*b554 + 936*b262*
    b555 + 1560*b262*b556 + 3536*b262*b557 + 432*b262*b558 + 720*b262*b559 + 
    1632*b262*b560 + 432*b262*b564 + 720*b262*b565 + 1632*b262*b566 + 1692*b262
    *b567 + 2820*b262*b568 + 6392*b262*b569 + 180*b262*b570 + 300*b262*b571 + 
    680*b262*b572 + 1152*b262*b573 + 1920*b262*b574 + 4352*b262*b575 + 936*b262
    *b576 + 1560*b262*b577 + 3536*b262*b578 + 1656*b262*b579 + 2760*b262*b580
     + 6256*b262*b581 + 882*b262*b582 + 1470*b262*b583 + 3332*b262*b584 + 1224*
    b262*b585 + 2040*b262*b586 + 4624*b262*b587 + 1170*b262*b588 + 1950*b262*
    b589 + 4420*b262*b590 + 1188*b262*b591 + 1980*b262*b592 + 4488*b262*b593 + 
    504*b262*b594 + 840*b262*b595 + 1904*b262*b596 + 1458*b262*b597 + 2430*b262
    *b598 + 5508*b262*b599 + 3500*b262*b600 + 6580*b262*b601 + 5390*b262*b602
     + 6930*b262*b603 + 6230*b262*b604 + 5320*b262*b605 + 3920*b262*b606 + 840*
    b262*b607 + 1820*b262*b608 + 3150*b262*b609 + 2100*b262*b610 + 420*b262*
    b611 + 210*b262*b612 + 4340*b262*b613 + 1050*b262*b614 + 4200*b262*b615 + 
    4340*b262*b616 + 2590*b262*b618 + 3430*b262*b619 + 4270*b262*b620 + 350*
    b262*b621 + 2380*b262*b622 + 2520*b262*b623 + 1206*b262*b624 + 2010*b262*
    b625 + 4556*b262*b626 + 2928*b263*b267 + 192*b263*b268 + 4320*b263*b269 + 
    1728*b263*b270 + 2688*b263*b271 + 2304*b263*b272 + 1920*b263*b273 + 1872*
    b263*b274 + 4080*b263*b275 + 3936*b263*b276 + 4608*b263*b277 + 2064*b263*
    b278 + 144*b263*b280 + 2976*b263*b281 + 2976*b263*b282 + 1728*b263*b283 + 
    1776*b263*b284 + 2544*b263*b286 + 4608*b263*b287 + 3936*b263*b288 + 11468*
    b263*b289 + 752*b263*b290 + 16920*b263*b291 + 6768*b263*b292 + 10528*b263*
    b293 + 9024*b263*b294 + 7520*b263*b295 + 7332*b263*b296 + 15980*b263*b297
     + 15416*b263*b298 + 18048*b263*b299 + 8084*b263*b300 + 564*b263*b302 + 
    11656*b263*b303 + 11656*b263*b304 + 6768*b263*b305 + 6956*b263*b306 + 9964*
    b263*b308 + 18048*b263*b309 + 15416*b263*b310 + 1220*b263*b311 + 80*b263*
    b312 + 1800*b263*b313 + 720*b263*b314 + 1120*b263*b315 + 960*b263*b316 + 
    800*b263*b317 + 780*b263*b318 + 1700*b263*b319 + 1640*b263*b320 + 1920*b263
    *b321 + 860*b263*b322 + 60*b263*b324 + 1240*b263*b325 + 1240*b263*b326 + 
    720*b263*b327 + 740*b263*b328 + 1060*b263*b330 + 1920*b263*b331 + 1640*b263
    *b332 + 7808*b263*b333 + 512*b263*b334 + 11520*b263*b335 + 4608*b263*b336
     + 7168*b263*b337 + 6144*b263*b338 + 5120*b263*b339 + 4992*b263*b340 + 
    10880*b263*b341 + 10496*b263*b342 + 12288*b263*b343 + 5504*b263*b344 + 384*
    b263*b346 + 7936*b263*b347 + 7936*b263*b348 + 4608*b263*b349 + 4736*b263*
    b350 + 6784*b263*b352 + 12288*b263*b353 + 10496*b263*b354 + 6344*b263*b355
     + 416*b263*b356 + 9360*b263*b357 + 3744*b263*b358 + 5824*b263*b359 + 4992*
    b263*b360 + 4160*b263*b361 + 4056*b263*b362 + 8840*b263*b363 + 8528*b263*
    b364 + 9984*b263*b365 + 4472*b263*b366 + 312*b263*b368 + 6448*b263*b369 + 
    6448*b263*b370 + 3744*b263*b371 + 3848*b263*b372 + 5512*b263*b374 + 9984*
    b263*b375 + 8528*b263*b376 + 11224*b263*b377 + 736*b263*b378 + 16560*b263*
    b379 + 6624*b263*b380 + 10304*b263*b381 + 8832*b263*b382 + 7360*b263*b383
     + 7176*b263*b384 + 15640*b263*b385 + 15088*b263*b386 + 17664*b263*b387 + 
    7912*b263*b388 + 552*b263*b390 + 11408*b263*b391 + 11408*b263*b392 + 6624*
    b263*b393 + 6808*b263*b394 + 9752*b263*b396 + 17664*b263*b397 + 15088*b263*
    b398 + 5978*b263*b399 + 392*b263*b400 + 8820*b263*b401 + 3528*b263*b402 + 
    5488*b263*b403 + 4704*b263*b404 + 3920*b263*b405 + 3822*b263*b406 + 8330*
    b263*b407 + 8036*b263*b408 + 9408*b263*b409 + 4214*b263*b410 + 294*b263*
    b412 + 6076*b263*b413 + 6076*b263*b414 + 3528*b263*b415 + 3626*b263*b416 + 
    5194*b263*b418 + 9408*b263*b419 + 8036*b263*b420 + 8296*b263*b421 + 544*
    b263*b422 + 12240*b263*b423 + 4896*b263*b424 + 7616*b263*b425 + 6528*b263*
    b426 + 5440*b263*b427 + 5304*b263*b428 + 11560*b263*b429 + 11152*b263*b430
     + 13056*b263*b431 + 5848*b263*b432 + 408*b263*b434 + 8432*b263*b435 + 8432
    *b263*b436 + 4896*b263*b437 + 5032*b263*b438 + 7208*b263*b440 + 13056*b263*
    b441 + 11152*b263*b442 + 7930*b263*b443 + 520*b263*b444 + 11700*b263*b445
     + 4680*b263*b446 + 7280*b263*b447 + 6240*b263*b448 + 5200*b263*b449 + 5070
    *b263*b450 + 11050*b263*b451 + 10660*b263*b452 + 12480*b263*b453 + 5590*
    b263*b454 + 390*b263*b456 + 8060*b263*b457 + 8060*b263*b458 + 4680*b263*
    b459 + 4810*b263*b460 + 6890*b263*b462 + 12480*b263*b463 + 10660*b263*b464
     + 8052*b263*b465 + 528*b263*b466 + 11880*b263*b467 + 4752*b263*b468 + 7392
    *b263*b469 + 6336*b263*b470 + 5280*b263*b471 + 5148*b263*b472 + 11220*b263*
    b473 + 10824*b263*b474 + 12672*b263*b475 + 5676*b263*b476 + 396*b263*b478
     + 8184*b263*b479 + 8184*b263*b480 + 4752*b263*b481 + 4884*b263*b482 + 6996
    *b263*b484 + 12672*b263*b485 + 10824*b263*b486 + 3416*b263*b487 + 224*b263*
    b488 + 5040*b263*b489 + 2016*b263*b490 + 3136*b263*b491 + 2688*b263*b492 + 
    2240*b263*b493 + 2184*b263*b494 + 4760*b263*b495 + 4592*b263*b496 + 5376*
    b263*b497 + 2408*b263*b498 + 168*b263*b500 + 3472*b263*b501 + 3472*b263*
    b502 + 2016*b263*b503 + 2072*b263*b504 + 2968*b263*b506 + 5376*b263*b507 + 
    4592*b263*b508 + 9882*b263*b509 + 648*b263*b510 + 14580*b263*b511 + 5832*
    b263*b512 + 9072*b263*b513 + 7776*b263*b514 + 6480*b263*b515 + 6318*b263*
    b516 + 13770*b263*b517 + 13284*b263*b518 + 15552*b263*b519 + 6966*b263*b520
     + 486*b263*b522 + 10044*b263*b523 + 10044*b263*b524 + 5832*b263*b525 + 
    5994*b263*b526 + 8586*b263*b528 + 15552*b263*b529 + 13284*b263*b530 + 168*
    b263*b531 + 2856*b263*b532 + 8064*b263*b533 + 186*b263*b534 + 3162*b263*
    b535 + 8928*b263*b536 + 48*b263*b537 + 816*b263*b538 + 2304*b263*b539 + 68*
    b263*b540 + 1156*b263*b541 + 3264*b263*b542 + 112*b263*b543 + 1904*b263*
    b544 + 5376*b263*b545 + 52*b263*b546 + 884*b263*b547 + 2496*b263*b548 + 128
    *b263*b549 + 2176*b263*b550 + 6144*b263*b551 + 198*b263*b552 + 3366*b263*
    b553 + 9504*b263*b554 + 104*b263*b555 + 1768*b263*b556 + 4992*b263*b557 + 
    48*b263*b558 + 816*b263*b559 + 2304*b263*b560 + 48*b263*b564 + 816*b263*
    b565 + 2304*b263*b566 + 188*b263*b567 + 3196*b263*b568 + 9024*b263*b569 + 
    20*b263*b570 + 340*b263*b571 + 960*b263*b572 + 128*b263*b573 + 2176*b263*
    b574 + 6144*b263*b575 + 104*b263*b576 + 1768*b263*b577 + 4992*b263*b578 + 
    184*b263*b579 + 3128*b263*b580 + 8832*b263*b581 + 98*b263*b582 + 1666*b263*
    b583 + 4704*b263*b584 + 136*b263*b585 + 2312*b263*b586 + 6528*b263*b587 + 
    130*b263*b588 + 2210*b263*b589 + 6240*b263*b590 + 132*b263*b591 + 2244*b263
    *b592 + 6336*b263*b593 + 56*b263*b594 + 952*b263*b595 + 2688*b263*b596 + 
    162*b263*b597 + 2754*b263*b598 + 7776*b263*b599 + 280*b263*b600 + 6300*b263
    *b601 + 2520*b263*b602 + 3920*b263*b603 + 3360*b263*b604 + 2800*b263*b605
     + 2730*b263*b606 + 5950*b263*b607 + 5740*b263*b608 + 6720*b263*b609 + 3010
    *b263*b610 + 210*b263*b612 + 4340*b263*b613 + 1190*b263*b614 + 4340*b263*
    b615 + 2520*b263*b616 + 2590*b263*b617 + 3710*b263*b619 + 6720*b263*b620 + 
    5740*b263*b621 + 3360*b263*b622 + 4270*b263*b623 + 134*b263*b624 + 2278*
    b263*b625 + 6432*b263*b626 + 1728*b264*b267 + 1728*b264*b268 + 2448*b264*
    b269 + 2544*b264*b270 + 3360*b264*b271 + 672*b264*b272 + 3168*b264*b273 + 
    2544*b264*b274 + 3456*b264*b275 + 2112*b264*b276 + 336*b264*b277 + 4656*
    b264*b278 + 2448*b264*b280 + 1344*b264*b281 + 2976*b264*b282 + 96*b264*b283
     + 2352*b264*b284 + 2544*b264*b285 + 1344*b264*b287 + 1488*b264*b288 + 6768
    *b264*b289 + 6768*b264*b290 + 9588*b264*b291 + 9964*b264*b292 + 13160*b264*
    b293 + 2632*b264*b294 + 12408*b264*b295 + 9964*b264*b296 + 13536*b264*b297
     + 8272*b264*b298 + 1316*b264*b299 + 18236*b264*b300 + 9588*b264*b302 + 
    5264*b264*b303 + 11656*b264*b304 + 376*b264*b305 + 9212*b264*b306 + 9964*
    b264*b307 + 5264*b264*b309 + 5828*b264*b310 + 720*b264*b311 + 720*b264*b312
     + 1020*b264*b313 + 1060*b264*b314 + 1400*b264*b315 + 280*b264*b316 + 1320*
    b264*b317 + 1060*b264*b318 + 1440*b264*b319 + 880*b264*b320 + 140*b264*b321
     + 1940*b264*b322 + 1020*b264*b324 + 560*b264*b325 + 1240*b264*b326 + 40*
    b264*b327 + 980*b264*b328 + 1060*b264*b329 + 560*b264*b331 + 620*b264*b332
     + 4608*b264*b333 + 4608*b264*b334 + 6528*b264*b335 + 6784*b264*b336 + 8960
    *b264*b337 + 1792*b264*b338 + 8448*b264*b339 + 6784*b264*b340 + 9216*b264*
    b341 + 5632*b264*b342 + 896*b264*b343 + 12416*b264*b344 + 6528*b264*b346 + 
    3584*b264*b347 + 7936*b264*b348 + 256*b264*b349 + 6272*b264*b350 + 6784*
    b264*b351 + 3584*b264*b353 + 3968*b264*b354 + 3744*b264*b355 + 3744*b264*
    b356 + 5304*b264*b357 + 5512*b264*b358 + 7280*b264*b359 + 1456*b264*b360 + 
    6864*b264*b361 + 5512*b264*b362 + 7488*b264*b363 + 4576*b264*b364 + 728*
    b264*b365 + 10088*b264*b366 + 5304*b264*b368 + 2912*b264*b369 + 6448*b264*
    b370 + 208*b264*b371 + 5096*b264*b372 + 5512*b264*b373 + 2912*b264*b375 + 
    3224*b264*b376 + 6624*b264*b377 + 6624*b264*b378 + 9384*b264*b379 + 9752*
    b264*b380 + 12880*b264*b381 + 2576*b264*b382 + 12144*b264*b383 + 9752*b264*
    b384 + 13248*b264*b385 + 8096*b264*b386 + 1288*b264*b387 + 17848*b264*b388
     + 9384*b264*b390 + 5152*b264*b391 + 11408*b264*b392 + 368*b264*b393 + 9016
    *b264*b394 + 9752*b264*b395 + 5152*b264*b397 + 5704*b264*b398 + 3528*b264*
    b399 + 3528*b264*b400 + 4998*b264*b401 + 5194*b264*b402 + 6860*b264*b403 + 
    1372*b264*b404 + 6468*b264*b405 + 5194*b264*b406 + 7056*b264*b407 + 4312*
    b264*b408 + 686*b264*b409 + 9506*b264*b410 + 4998*b264*b412 + 2744*b264*
    b413 + 6076*b264*b414 + 196*b264*b415 + 4802*b264*b416 + 5194*b264*b417 + 
    2744*b264*b419 + 3038*b264*b420 + 4896*b264*b421 + 4896*b264*b422 + 6936*
    b264*b423 + 7208*b264*b424 + 9520*b264*b425 + 1904*b264*b426 + 8976*b264*
    b427 + 7208*b264*b428 + 9792*b264*b429 + 5984*b264*b430 + 952*b264*b431 + 
    13192*b264*b432 + 6936*b264*b434 + 3808*b264*b435 + 8432*b264*b436 + 272*
    b264*b437 + 6664*b264*b438 + 7208*b264*b439 + 3808*b264*b441 + 4216*b264*
    b442 + 4680*b264*b443 + 4680*b264*b444 + 6630*b264*b445 + 6890*b264*b446 + 
    9100*b264*b447 + 1820*b264*b448 + 8580*b264*b449 + 6890*b264*b450 + 9360*
    b264*b451 + 5720*b264*b452 + 910*b264*b453 + 12610*b264*b454 + 6630*b264*
    b456 + 3640*b264*b457 + 8060*b264*b458 + 260*b264*b459 + 6370*b264*b460 + 
    6890*b264*b461 + 3640*b264*b463 + 4030*b264*b464 + 4752*b264*b465 + 4752*
    b264*b466 + 6732*b264*b467 + 6996*b264*b468 + 9240*b264*b469 + 1848*b264*
    b470 + 8712*b264*b471 + 6996*b264*b472 + 9504*b264*b473 + 5808*b264*b474 + 
    924*b264*b475 + 12804*b264*b476 + 6732*b264*b478 + 3696*b264*b479 + 8184*
    b264*b480 + 264*b264*b481 + 6468*b264*b482 + 6996*b264*b483 + 3696*b264*
    b485 + 4092*b264*b486 + 2016*b264*b487 + 2016*b264*b488 + 2856*b264*b489 + 
    2968*b264*b490 + 3920*b264*b491 + 784*b264*b492 + 3696*b264*b493 + 2968*
    b264*b494 + 4032*b264*b495 + 2464*b264*b496 + 392*b264*b497 + 5432*b264*
    b498 + 2856*b264*b500 + 1568*b264*b501 + 3472*b264*b502 + 112*b264*b503 + 
    2744*b264*b504 + 2968*b264*b505 + 1568*b264*b507 + 1736*b264*b508 + 5832*
    b264*b509 + 5832*b264*b510 + 8262*b264*b511 + 8586*b264*b512 + 11340*b264*
    b513 + 2268*b264*b514 + 10692*b264*b515 + 8586*b264*b516 + 11664*b264*b517
     + 7128*b264*b518 + 1134*b264*b519 + 15714*b264*b520 + 8262*b264*b522 + 
    4536*b264*b523 + 10044*b264*b524 + 324*b264*b525 + 7938*b264*b526 + 8586*
    b264*b527 + 4536*b264*b529 + 5022*b264*b530 + 14280*b264*b531 + 12936*b264*
    b532 + 12600*b264*b533 + 15810*b264*b534 + 14322*b264*b535 + 13950*b264*
    b536 + 4080*b264*b537 + 3696*b264*b538 + 3600*b264*b539 + 5780*b264*b540 + 
    5236*b264*b541 + 5100*b264*b542 + 9520*b264*b543 + 8624*b264*b544 + 8400*
    b264*b545 + 4420*b264*b546 + 4004*b264*b547 + 3900*b264*b548 + 10880*b264*
    b549 + 9856*b264*b550 + 9600*b264*b551 + 16830*b264*b552 + 15246*b264*b553
     + 14850*b264*b554 + 8840*b264*b555 + 8008*b264*b556 + 7800*b264*b557 + 
    4080*b264*b558 + 3696*b264*b559 + 3600*b264*b560 + 4080*b264*b564 + 3696*
    b264*b565 + 3600*b264*b566 + 15980*b264*b567 + 14476*b264*b568 + 14100*b264
    *b569 + 1700*b264*b570 + 1540*b264*b571 + 1500*b264*b572 + 10880*b264*b573
     + 9856*b264*b574 + 9600*b264*b575 + 8840*b264*b576 + 8008*b264*b577 + 7800
    *b264*b578 + 15640*b264*b579 + 14168*b264*b580 + 13800*b264*b581 + 8330*
    b264*b582 + 7546*b264*b583 + 7350*b264*b584 + 11560*b264*b585 + 10472*b264*
    b586 + 10200*b264*b587 + 11050*b264*b588 + 10010*b264*b589 + 9750*b264*b590
     + 11220*b264*b591 + 10164*b264*b592 + 9900*b264*b593 + 4760*b264*b594 + 
    4312*b264*b595 + 4200*b264*b596 + 13770*b264*b597 + 12474*b264*b598 + 12150
    *b264*b599 + 2520*b264*b600 + 3570*b264*b601 + 3710*b264*b602 + 4900*b264*
    b603 + 980*b264*b604 + 4620*b264*b605 + 3710*b264*b606 + 5040*b264*b607 + 
    3080*b264*b608 + 490*b264*b609 + 6790*b264*b610 + 3570*b264*b612 + 1960*
    b264*b613 + 5390*b264*b614 + 4340*b264*b615 + 140*b264*b616 + 3430*b264*
    b617 + 3710*b264*b618 + 1960*b264*b620 + 2170*b264*b621 + 5250*b264*b622 + 
    2520*b264*b623 + 11390*b264*b624 + 10318*b264*b625 + 10050*b264*b626 + 1008
    *b265*b267 + 1296*b265*b268 + 144*b265*b269 + 1776*b265*b270 + 4752*b265*
    b271 + 4272*b265*b272 + 2784*b265*b273 + 3696*b265*b274 + 336*b265*b275 + 
    1680*b265*b276 + 4176*b265*b277 + 1584*b265*b278 + 2304*b265*b279 + 3216*
    b265*b280 + 3648*b265*b281 + 3984*b265*b282 + 96*b265*b283 + 2928*b265*b284
     + 4608*b265*b285 + 1344*b265*b286 + 48*b265*b288 + 3948*b265*b289 + 5076*
    b265*b290 + 564*b265*b291 + 6956*b265*b292 + 18612*b265*b293 + 16732*b265*
    b294 + 10904*b265*b295 + 14476*b265*b296 + 1316*b265*b297 + 6580*b265*b298
     + 16356*b265*b299 + 6204*b265*b300 + 9024*b265*b301 + 12596*b265*b302 + 
    14288*b265*b303 + 15604*b265*b304 + 376*b265*b305 + 11468*b265*b306 + 18048
    *b265*b307 + 5264*b265*b308 + 188*b265*b310 + 420*b265*b311 + 540*b265*b312
     + 60*b265*b313 + 740*b265*b314 + 1980*b265*b315 + 1780*b265*b316 + 1160*
    b265*b317 + 1540*b265*b318 + 140*b265*b319 + 700*b265*b320 + 1740*b265*b321
     + 660*b265*b322 + 960*b265*b323 + 1340*b265*b324 + 1520*b265*b325 + 1660*
    b265*b326 + 40*b265*b327 + 1220*b265*b328 + 1920*b265*b329 + 560*b265*b330
     + 20*b265*b332 + 2688*b265*b333 + 3456*b265*b334 + 384*b265*b335 + 4736*
    b265*b336 + 12672*b265*b337 + 11392*b265*b338 + 7424*b265*b339 + 9856*b265*
    b340 + 896*b265*b341 + 4480*b265*b342 + 11136*b265*b343 + 4224*b265*b344 + 
    6144*b265*b345 + 8576*b265*b346 + 9728*b265*b347 + 10624*b265*b348 + 256*
    b265*b349 + 7808*b265*b350 + 12288*b265*b351 + 3584*b265*b352 + 128*b265*
    b354 + 2184*b265*b355 + 2808*b265*b356 + 312*b265*b357 + 3848*b265*b358 + 
    10296*b265*b359 + 9256*b265*b360 + 6032*b265*b361 + 8008*b265*b362 + 728*
    b265*b363 + 3640*b265*b364 + 9048*b265*b365 + 3432*b265*b366 + 4992*b265*
    b367 + 6968*b265*b368 + 7904*b265*b369 + 8632*b265*b370 + 208*b265*b371 + 
    6344*b265*b372 + 9984*b265*b373 + 2912*b265*b374 + 104*b265*b376 + 3864*
    b265*b377 + 4968*b265*b378 + 552*b265*b379 + 6808*b265*b380 + 18216*b265*
    b381 + 16376*b265*b382 + 10672*b265*b383 + 14168*b265*b384 + 1288*b265*b385
     + 6440*b265*b386 + 16008*b265*b387 + 6072*b265*b388 + 8832*b265*b389 + 
    12328*b265*b390 + 13984*b265*b391 + 15272*b265*b392 + 368*b265*b393 + 11224
    *b265*b394 + 17664*b265*b395 + 5152*b265*b396 + 184*b265*b398 + 2058*b265*
    b399 + 2646*b265*b400 + 294*b265*b401 + 3626*b265*b402 + 9702*b265*b403 + 
    8722*b265*b404 + 5684*b265*b405 + 7546*b265*b406 + 686*b265*b407 + 3430*
    b265*b408 + 8526*b265*b409 + 3234*b265*b410 + 4704*b265*b411 + 6566*b265*
    b412 + 7448*b265*b413 + 8134*b265*b414 + 196*b265*b415 + 5978*b265*b416 + 
    9408*b265*b417 + 2744*b265*b418 + 98*b265*b420 + 2856*b265*b421 + 3672*b265
    *b422 + 408*b265*b423 + 5032*b265*b424 + 13464*b265*b425 + 12104*b265*b426
     + 7888*b265*b427 + 10472*b265*b428 + 952*b265*b429 + 4760*b265*b430 + 
    11832*b265*b431 + 4488*b265*b432 + 6528*b265*b433 + 9112*b265*b434 + 10336*
    b265*b435 + 11288*b265*b436 + 272*b265*b437 + 8296*b265*b438 + 13056*b265*
    b439 + 3808*b265*b440 + 136*b265*b442 + 2730*b265*b443 + 3510*b265*b444 + 
    390*b265*b445 + 4810*b265*b446 + 12870*b265*b447 + 11570*b265*b448 + 7540*
    b265*b449 + 10010*b265*b450 + 910*b265*b451 + 4550*b265*b452 + 11310*b265*
    b453 + 4290*b265*b454 + 6240*b265*b455 + 8710*b265*b456 + 9880*b265*b457 + 
    10790*b265*b458 + 260*b265*b459 + 7930*b265*b460 + 12480*b265*b461 + 3640*
    b265*b462 + 130*b265*b464 + 2772*b265*b465 + 3564*b265*b466 + 396*b265*b467
     + 4884*b265*b468 + 13068*b265*b469 + 11748*b265*b470 + 7656*b265*b471 + 
    10164*b265*b472 + 924*b265*b473 + 4620*b265*b474 + 11484*b265*b475 + 4356*
    b265*b476 + 6336*b265*b477 + 8844*b265*b478 + 10032*b265*b479 + 10956*b265*
    b480 + 264*b265*b481 + 8052*b265*b482 + 12672*b265*b483 + 3696*b265*b484 + 
    132*b265*b486 + 1176*b265*b487 + 1512*b265*b488 + 168*b265*b489 + 2072*b265
    *b490 + 5544*b265*b491 + 4984*b265*b492 + 3248*b265*b493 + 4312*b265*b494
     + 392*b265*b495 + 1960*b265*b496 + 4872*b265*b497 + 1848*b265*b498 + 2688*
    b265*b499 + 3752*b265*b500 + 4256*b265*b501 + 4648*b265*b502 + 112*b265*
    b503 + 3416*b265*b504 + 5376*b265*b505 + 1568*b265*b506 + 56*b265*b508 + 
    3402*b265*b509 + 4374*b265*b510 + 486*b265*b511 + 5994*b265*b512 + 16038*
    b265*b513 + 14418*b265*b514 + 9396*b265*b515 + 12474*b265*b516 + 1134*b265*
    b517 + 5670*b265*b518 + 14094*b265*b519 + 5346*b265*b520 + 7776*b265*b521
     + 10854*b265*b522 + 12312*b265*b523 + 13446*b265*b524 + 324*b265*b525 + 
    9882*b265*b526 + 15552*b265*b527 + 4536*b265*b528 + 162*b265*b530 + 14112*
    b265*b531 + 7392*b265*b532 + 15960*b265*b533 + 15624*b265*b534 + 8184*b265*
    b535 + 17670*b265*b536 + 4032*b265*b537 + 2112*b265*b538 + 4560*b265*b539
     + 5712*b265*b540 + 2992*b265*b541 + 6460*b265*b542 + 9408*b265*b543 + 4928
    *b265*b544 + 10640*b265*b545 + 4368*b265*b546 + 2288*b265*b547 + 4940*b265*
    b548 + 10752*b265*b549 + 5632*b265*b550 + 12160*b265*b551 + 16632*b265*b552
     + 8712*b265*b553 + 18810*b265*b554 + 8736*b265*b555 + 4576*b265*b556 + 
    9880*b265*b557 + 4032*b265*b558 + 2112*b265*b559 + 4560*b265*b560 + 4032*
    b265*b564 + 2112*b265*b565 + 4560*b265*b566 + 15792*b265*b567 + 8272*b265*
    b568 + 17860*b265*b569 + 1680*b265*b570 + 880*b265*b571 + 1900*b265*b572 + 
    10752*b265*b573 + 5632*b265*b574 + 12160*b265*b575 + 8736*b265*b576 + 4576*
    b265*b577 + 9880*b265*b578 + 15456*b265*b579 + 8096*b265*b580 + 17480*b265*
    b581 + 8232*b265*b582 + 4312*b265*b583 + 9310*b265*b584 + 11424*b265*b585
     + 5984*b265*b586 + 12920*b265*b587 + 10920*b265*b588 + 5720*b265*b589 + 
    12350*b265*b590 + 11088*b265*b591 + 5808*b265*b592 + 12540*b265*b593 + 4704
    *b265*b594 + 2464*b265*b595 + 5320*b265*b596 + 13608*b265*b597 + 7128*b265*
    b598 + 15390*b265*b599 + 1890*b265*b600 + 210*b265*b601 + 2590*b265*b602 + 
    6930*b265*b603 + 6230*b265*b604 + 4060*b265*b605 + 5390*b265*b606 + 490*
    b265*b607 + 2450*b265*b608 + 6090*b265*b609 + 2310*b265*b610 + 3360*b265*
    b611 + 4690*b265*b612 + 5320*b265*b613 + 3080*b265*b614 + 5810*b265*b615 + 
    140*b265*b616 + 4270*b265*b617 + 6720*b265*b618 + 1960*b265*b619 + 70*b265*
    b621 + 6650*b265*b622 + 1470*b265*b623 + 11256*b265*b624 + 5896*b265*b625
     + 12730*b265*b626 + 3408*b266*b267 + 4080*b266*b268 + 2304*b266*b269 + 
    1248*b266*b270 + 2880*b266*b271 + 2112*b266*b272 + 1440*b266*b273 + 2400*
    b266*b274 + 2352*b266*b275 + 144*b266*b276 + 3264*b266*b277 + 1680*b266*
    b278 + 2976*b266*b279 + 1872*b266*b280 + 3168*b266*b281 + 4368*b266*b282 + 
    2064*b266*b283 + 240*b266*b284 + 3936*b266*b285 + 1488*b266*b286 + 48*b266*
    b287 + 13348*b266*b289 + 15980*b266*b290 + 9024*b266*b291 + 4888*b266*b292
     + 11280*b266*b293 + 8272*b266*b294 + 5640*b266*b295 + 9400*b266*b296 + 
    9212*b266*b297 + 564*b266*b298 + 12784*b266*b299 + 6580*b266*b300 + 11656*
    b266*b301 + 7332*b266*b302 + 12408*b266*b303 + 17108*b266*b304 + 8084*b266*
    b305 + 940*b266*b306 + 15416*b266*b307 + 5828*b266*b308 + 188*b266*b309 + 
    1420*b266*b311 + 1700*b266*b312 + 960*b266*b313 + 520*b266*b314 + 1200*b266
    *b315 + 880*b266*b316 + 600*b266*b317 + 1000*b266*b318 + 980*b266*b319 + 60
    *b266*b320 + 1360*b266*b321 + 700*b266*b322 + 1240*b266*b323 + 780*b266*
    b324 + 1320*b266*b325 + 1820*b266*b326 + 860*b266*b327 + 100*b266*b328 + 
    1640*b266*b329 + 620*b266*b330 + 20*b266*b331 + 9088*b266*b333 + 10880*b266
    *b334 + 6144*b266*b335 + 3328*b266*b336 + 7680*b266*b337 + 5632*b266*b338
     + 3840*b266*b339 + 6400*b266*b340 + 6272*b266*b341 + 384*b266*b342 + 8704*
    b266*b343 + 4480*b266*b344 + 7936*b266*b345 + 4992*b266*b346 + 8448*b266*
    b347 + 11648*b266*b348 + 5504*b266*b349 + 640*b266*b350 + 10496*b266*b351
     + 3968*b266*b352 + 128*b266*b353 + 7384*b266*b355 + 8840*b266*b356 + 4992*
    b266*b357 + 2704*b266*b358 + 6240*b266*b359 + 4576*b266*b360 + 3120*b266*
    b361 + 5200*b266*b362 + 5096*b266*b363 + 312*b266*b364 + 7072*b266*b365 + 
    3640*b266*b366 + 6448*b266*b367 + 4056*b266*b368 + 6864*b266*b369 + 9464*
    b266*b370 + 4472*b266*b371 + 520*b266*b372 + 8528*b266*b373 + 3224*b266*
    b374 + 104*b266*b375 + 13064*b266*b377 + 15640*b266*b378 + 8832*b266*b379
     + 4784*b266*b380 + 11040*b266*b381 + 8096*b266*b382 + 5520*b266*b383 + 
    9200*b266*b384 + 9016*b266*b385 + 552*b266*b386 + 12512*b266*b387 + 6440*
    b266*b388 + 11408*b266*b389 + 7176*b266*b390 + 12144*b266*b391 + 16744*b266
    *b392 + 7912*b266*b393 + 920*b266*b394 + 15088*b266*b395 + 5704*b266*b396
     + 184*b266*b397 + 6958*b266*b399 + 8330*b266*b400 + 4704*b266*b401 + 2548*
    b266*b402 + 5880*b266*b403 + 4312*b266*b404 + 2940*b266*b405 + 4900*b266*
    b406 + 4802*b266*b407 + 294*b266*b408 + 6664*b266*b409 + 3430*b266*b410 + 
    6076*b266*b411 + 3822*b266*b412 + 6468*b266*b413 + 8918*b266*b414 + 4214*
    b266*b415 + 490*b266*b416 + 8036*b266*b417 + 3038*b266*b418 + 98*b266*b419
     + 9656*b266*b421 + 11560*b266*b422 + 6528*b266*b423 + 3536*b266*b424 + 
    8160*b266*b425 + 5984*b266*b426 + 4080*b266*b427 + 6800*b266*b428 + 6664*
    b266*b429 + 408*b266*b430 + 9248*b266*b431 + 4760*b266*b432 + 8432*b266*
    b433 + 5304*b266*b434 + 8976*b266*b435 + 12376*b266*b436 + 5848*b266*b437
     + 680*b266*b438 + 11152*b266*b439 + 4216*b266*b440 + 136*b266*b441 + 9230*
    b266*b443 + 11050*b266*b444 + 6240*b266*b445 + 3380*b266*b446 + 7800*b266*
    b447 + 5720*b266*b448 + 3900*b266*b449 + 6500*b266*b450 + 6370*b266*b451 + 
    390*b266*b452 + 8840*b266*b453 + 4550*b266*b454 + 8060*b266*b455 + 5070*
    b266*b456 + 8580*b266*b457 + 11830*b266*b458 + 5590*b266*b459 + 650*b266*
    b460 + 10660*b266*b461 + 4030*b266*b462 + 130*b266*b463 + 9372*b266*b465 + 
    11220*b266*b466 + 6336*b266*b467 + 3432*b266*b468 + 7920*b266*b469 + 5808*
    b266*b470 + 3960*b266*b471 + 6600*b266*b472 + 6468*b266*b473 + 396*b266*
    b474 + 8976*b266*b475 + 4620*b266*b476 + 8184*b266*b477 + 5148*b266*b478 + 
    8712*b266*b479 + 12012*b266*b480 + 5676*b266*b481 + 660*b266*b482 + 10824*
    b266*b483 + 4092*b266*b484 + 132*b266*b485 + 3976*b266*b487 + 4760*b266*
    b488 + 2688*b266*b489 + 1456*b266*b490 + 3360*b266*b491 + 2464*b266*b492 + 
    1680*b266*b493 + 2800*b266*b494 + 2744*b266*b495 + 168*b266*b496 + 3808*
    b266*b497 + 1960*b266*b498 + 3472*b266*b499 + 2184*b266*b500 + 3696*b266*
    b501 + 5096*b266*b502 + 2408*b266*b503 + 280*b266*b504 + 4592*b266*b505 + 
    1736*b266*b506 + 56*b266*b507 + 11502*b266*b509 + 13770*b266*b510 + 7776*
    b266*b511 + 4212*b266*b512 + 9720*b266*b513 + 7128*b266*b514 + 4860*b266*
    b515 + 8100*b266*b516 + 7938*b266*b517 + 486*b266*b518 + 11016*b266*b519 + 
    5670*b266*b520 + 10044*b266*b521 + 6318*b266*b522 + 10692*b266*b523 + 14742
    *b266*b524 + 6966*b266*b525 + 810*b266*b526 + 13284*b266*b527 + 5022*b266*
    b528 + 162*b266*b529 + 2016*b266*b531 + 4368*b266*b532 + 1176*b266*b533 + 
    2232*b266*b534 + 4836*b266*b535 + 1302*b266*b536 + 576*b266*b537 + 1248*
    b266*b538 + 336*b266*b539 + 816*b266*b540 + 1768*b266*b541 + 476*b266*b542
     + 1344*b266*b543 + 2912*b266*b544 + 784*b266*b545 + 624*b266*b546 + 1352*
    b266*b547 + 364*b266*b548 + 1536*b266*b549 + 3328*b266*b550 + 896*b266*b551
     + 2376*b266*b552 + 5148*b266*b553 + 1386*b266*b554 + 1248*b266*b555 + 2704
    *b266*b556 + 728*b266*b557 + 576*b266*b558 + 1248*b266*b559 + 336*b266*b560
     + 576*b266*b564 + 1248*b266*b565 + 336*b266*b566 + 2256*b266*b567 + 4888*
    b266*b568 + 1316*b266*b569 + 240*b266*b570 + 520*b266*b571 + 140*b266*b572
     + 1536*b266*b573 + 3328*b266*b574 + 896*b266*b575 + 1248*b266*b576 + 2704*
    b266*b577 + 728*b266*b578 + 2208*b266*b579 + 4784*b266*b580 + 1288*b266*
    b581 + 1176*b266*b582 + 2548*b266*b583 + 686*b266*b584 + 1632*b266*b585 + 
    3536*b266*b586 + 952*b266*b587 + 1560*b266*b588 + 3380*b266*b589 + 910*b266
    *b590 + 1584*b266*b591 + 3432*b266*b592 + 924*b266*b593 + 672*b266*b594 + 
    1456*b266*b595 + 392*b266*b596 + 1944*b266*b597 + 4212*b266*b598 + 1134*
    b266*b599 + 5950*b266*b600 + 3360*b266*b601 + 1820*b266*b602 + 4200*b266*
    b603 + 3080*b266*b604 + 2100*b266*b605 + 3500*b266*b606 + 3430*b266*b607 + 
    210*b266*b608 + 4760*b266*b609 + 2450*b266*b610 + 4340*b266*b611 + 2730*
    b266*b612 + 4620*b266*b613 + 1820*b266*b614 + 6370*b266*b615 + 3010*b266*
    b616 + 350*b266*b617 + 5740*b266*b618 + 2170*b266*b619 + 70*b266*b620 + 490
    *b266*b622 + 4970*b266*b623 + 1608*b266*b624 + 3484*b266*b625 + 938*b266*
    b626 + 884*b267*b290 + 3094*b267*b291 + 374*b267*b292 + 1190*b267*b293 + 
    2788*b267*b294 + 884*b267*b295 + 2346*b267*b296 + 1904*b267*b297 + 2924*
    b267*b298 + 1530*b267*b299 + 3094*b267*b300 + 2006*b267*b301 + 612*b267*
    b302 + 2584*b267*b303 + 612*b267*b304 + 1938*b267*b305 + 1224*b267*b306 + 
    2074*b267*b307 + 1224*b267*b308 + 714*b267*b309 + 2414*b267*b310 + 3016*
    b267*b312 + 10556*b267*b313 + 1276*b267*b314 + 4060*b267*b315 + 9512*b267*
    b316 + 3016*b267*b317 + 8004*b267*b318 + 6496*b267*b319 + 9976*b267*b320 + 
    5220*b267*b321 + 10556*b267*b322 + 6844*b267*b323 + 2088*b267*b324 + 8816*
    b267*b325 + 2088*b267*b326 + 6612*b267*b327 + 4176*b267*b328 + 7076*b267*
    b329 + 4176*b267*b330 + 2436*b267*b331 + 8236*b267*b332 + 5148*b267*b334 + 
    18018*b267*b335 + 2178*b267*b336 + 6930*b267*b337 + 16236*b267*b338 + 5148*
    b267*b339 + 13662*b267*b340 + 11088*b267*b341 + 17028*b267*b342 + 8910*b267
    *b343 + 18018*b267*b344 + 11682*b267*b345 + 3564*b267*b346 + 15048*b267*
    b347 + 3564*b267*b348 + 11286*b267*b349 + 7128*b267*b350 + 12078*b267*b351
     + 7128*b267*b352 + 4158*b267*b353 + 14058*b267*b354 + 4680*b267*b356 + 
    16380*b267*b357 + 1980*b267*b358 + 6300*b267*b359 + 14760*b267*b360 + 4680*
    b267*b361 + 12420*b267*b362 + 10080*b267*b363 + 15480*b267*b364 + 8100*b267
    *b365 + 16380*b267*b366 + 10620*b267*b367 + 3240*b267*b368 + 13680*b267*
    b369 + 3240*b267*b370 + 10260*b267*b371 + 6480*b267*b372 + 10980*b267*b373
     + 6480*b267*b374 + 3780*b267*b375 + 12780*b267*b376 + 3640*b267*b378 + 
    12740*b267*b379 + 1540*b267*b380 + 4900*b267*b381 + 11480*b267*b382 + 3640*
    b267*b383 + 9660*b267*b384 + 7840*b267*b385 + 12040*b267*b386 + 6300*b267*
    b387 + 12740*b267*b388 + 8260*b267*b389 + 2520*b267*b390 + 10640*b267*b391
     + 2520*b267*b392 + 7980*b267*b393 + 5040*b267*b394 + 8540*b267*b395 + 5040
    *b267*b396 + 2940*b267*b397 + 9940*b267*b398 + 884*b267*b400 + 3094*b267*
    b401 + 374*b267*b402 + 1190*b267*b403 + 2788*b267*b404 + 884*b267*b405 + 
    2346*b267*b406 + 1904*b267*b407 + 2924*b267*b408 + 1530*b267*b409 + 3094*
    b267*b410 + 2006*b267*b411 + 612*b267*b412 + 2584*b267*b413 + 612*b267*b414
     + 1938*b267*b415 + 1224*b267*b416 + 2074*b267*b417 + 1224*b267*b418 + 714*
    b267*b419 + 2414*b267*b420 + 2964*b267*b422 + 10374*b267*b423 + 1254*b267*
    b424 + 3990*b267*b425 + 9348*b267*b426 + 2964*b267*b427 + 7866*b267*b428 + 
    6384*b267*b429 + 9804*b267*b430 + 5130*b267*b431 + 10374*b267*b432 + 6726*
    b267*b433 + 2052*b267*b434 + 8664*b267*b435 + 2052*b267*b436 + 6498*b267*
    b437 + 4104*b267*b438 + 6954*b267*b439 + 4104*b267*b440 + 2394*b267*b441 + 
    8094*b267*b442 + 1924*b267*b444 + 6734*b267*b445 + 814*b267*b446 + 2590*
    b267*b447 + 6068*b267*b448 + 1924*b267*b449 + 5106*b267*b450 + 4144*b267*
    b451 + 6364*b267*b452 + 3330*b267*b453 + 6734*b267*b454 + 4366*b267*b455 + 
    1332*b267*b456 + 5624*b267*b457 + 1332*b267*b458 + 4218*b267*b459 + 2664*
    b267*b460 + 4514*b267*b461 + 2664*b267*b462 + 1554*b267*b463 + 5254*b267*
    b464 + 104*b267*b466 + 364*b267*b467 + 44*b267*b468 + 140*b267*b469 + 328*
    b267*b470 + 104*b267*b471 + 276*b267*b472 + 224*b267*b473 + 344*b267*b474
     + 180*b267*b475 + 364*b267*b476 + 236*b267*b477 + 72*b267*b478 + 304*b267*
    b479 + 72*b267*b480 + 228*b267*b481 + 144*b267*b482 + 244*b267*b483 + 144*
    b267*b484 + 84*b267*b485 + 284*b267*b486 + 1924*b267*b488 + 6734*b267*b489
     + 814*b267*b490 + 2590*b267*b491 + 6068*b267*b492 + 1924*b267*b493 + 5106*
    b267*b494 + 4144*b267*b495 + 6364*b267*b496 + 3330*b267*b497 + 6734*b267*
    b498 + 4366*b267*b499 + 1332*b267*b500 + 5624*b267*b501 + 1332*b267*b502 + 
    4218*b267*b503 + 2664*b267*b504 + 4514*b267*b505 + 2664*b267*b506 + 1554*
    b267*b507 + 5254*b267*b508 + 156*b267*b510 + 546*b267*b511 + 66*b267*b512
     + 210*b267*b513 + 492*b267*b514 + 156*b267*b515 + 414*b267*b516 + 336*b267
    *b517 + 516*b267*b518 + 270*b267*b519 + 546*b267*b520 + 354*b267*b521 + 108
    *b267*b522 + 456*b267*b523 + 108*b267*b524 + 342*b267*b525 + 216*b267*b526
     + 366*b267*b527 + 216*b267*b528 + 126*b267*b529 + 426*b267*b530 + 3360*
    b267*b531 + 6240*b267*b532 + 1760*b267*b533 + 3864*b267*b534 + 7176*b267*
    b535 + 2024*b267*b536 + 2436*b267*b537 + 4524*b267*b538 + 1276*b267*b539 + 
    1890*b267*b540 + 3510*b267*b541 + 990*b267*b542 + 1134*b267*b543 + 2106*
    b267*b544 + 594*b267*b545 + 3612*b267*b546 + 6708*b267*b547 + 1892*b267*
    b548 + 4074*b267*b549 + 7566*b267*b550 + 2134*b267*b551 + 1890*b267*b552 + 
    3510*b267*b553 + 990*b267*b554 + 924*b267*b555 + 1716*b267*b556 + 484*b267*
    b557 + 3318*b267*b558 + 6162*b267*b559 + 1738*b267*b560 + 1008*b267*b561 + 
    1872*b267*b562 + 528*b267*b563 + 714*b267*b567 + 1326*b267*b568 + 374*b267*
    b569 + 2436*b267*b570 + 4524*b267*b571 + 1276*b267*b572 + 4158*b267*b573 + 
    7722*b267*b574 + 2178*b267*b575 + 3780*b267*b576 + 7020*b267*b577 + 1980*
    b267*b578 + 2940*b267*b579 + 5460*b267*b580 + 1540*b267*b581 + 714*b267*
    b582 + 1326*b267*b583 + 374*b267*b584 + 2394*b267*b585 + 4446*b267*b586 + 
    1254*b267*b587 + 1554*b267*b588 + 2886*b267*b589 + 814*b267*b590 + 84*b267*
    b591 + 156*b267*b592 + 44*b267*b593 + 1554*b267*b594 + 2886*b267*b595 + 814
    *b267*b596 + 126*b267*b597 + 234*b267*b598 + 66*b267*b599 + 728*b267*b600
     + 2548*b267*b601 + 308*b267*b602 + 980*b267*b603 + 2296*b267*b604 + 728*
    b267*b605 + 1932*b267*b606 + 1568*b267*b607 + 2408*b267*b608 + 1260*b267*
    b609 + 2548*b267*b610 + 1652*b267*b611 + 504*b267*b612 + 2128*b267*b613 + 
    1092*b267*b614 + 504*b267*b615 + 1596*b267*b616 + 1008*b267*b617 + 1708*
    b267*b618 + 1008*b267*b619 + 588*b267*b620 + 1988*b267*b621 + 308*b267*b622
     + 3906*b267*b624 + 7254*b267*b625 + 2046*b267*b626 + 884*b268*b289 + 986*
    b268*b291 + 2788*b268*b292 + 2788*b268*b293 + 204*b268*b294 + 2414*b268*
    b295 + 272*b268*b296 + 2618*b268*b297 + 2516*b268*b298 + 1020*b268*b299 + 
    3026*b268*b300 + 2584*b268*b301 + 2584*b268*b302 + 1360*b268*b303 + 1904*
    b268*b304 + 34*b268*b305 + 1700*b268*b306 + 136*b268*b307 + 1224*b268*b308
     + 918*b268*b309 + 2890*b268*b310 + 3016*b268*b311 + 3364*b268*b313 + 9512*
    b268*b314 + 9512*b268*b315 + 696*b268*b316 + 8236*b268*b317 + 928*b268*b318
     + 8932*b268*b319 + 8584*b268*b320 + 3480*b268*b321 + 10324*b268*b322 + 
    8816*b268*b323 + 8816*b268*b324 + 4640*b268*b325 + 6496*b268*b326 + 116*
    b268*b327 + 5800*b268*b328 + 464*b268*b329 + 4176*b268*b330 + 3132*b268*
    b331 + 9860*b268*b332 + 5148*b268*b333 + 5742*b268*b335 + 16236*b268*b336
     + 16236*b268*b337 + 1188*b268*b338 + 14058*b268*b339 + 1584*b268*b340 + 
    15246*b268*b341 + 14652*b268*b342 + 5940*b268*b343 + 17622*b268*b344 + 
    15048*b268*b345 + 15048*b268*b346 + 7920*b268*b347 + 11088*b268*b348 + 198*
    b268*b349 + 9900*b268*b350 + 792*b268*b351 + 7128*b268*b352 + 5346*b268*
    b353 + 16830*b268*b354 + 4680*b268*b355 + 5220*b268*b357 + 14760*b268*b358
     + 14760*b268*b359 + 1080*b268*b360 + 12780*b268*b361 + 1440*b268*b362 + 
    13860*b268*b363 + 13320*b268*b364 + 5400*b268*b365 + 16020*b268*b366 + 
    13680*b268*b367 + 13680*b268*b368 + 7200*b268*b369 + 10080*b268*b370 + 180*
    b268*b371 + 9000*b268*b372 + 720*b268*b373 + 6480*b268*b374 + 4860*b268*
    b375 + 15300*b268*b376 + 3640*b268*b377 + 4060*b268*b379 + 11480*b268*b380
     + 11480*b268*b381 + 840*b268*b382 + 9940*b268*b383 + 1120*b268*b384 + 
    10780*b268*b385 + 10360*b268*b386 + 4200*b268*b387 + 12460*b268*b388 + 
    10640*b268*b389 + 10640*b268*b390 + 5600*b268*b391 + 7840*b268*b392 + 140*
    b268*b393 + 7000*b268*b394 + 560*b268*b395 + 5040*b268*b396 + 3780*b268*
    b397 + 11900*b268*b398 + 884*b268*b399 + 986*b268*b401 + 2788*b268*b402 + 
    2788*b268*b403 + 204*b268*b404 + 2414*b268*b405 + 272*b268*b406 + 2618*b268
    *b407 + 2516*b268*b408 + 1020*b268*b409 + 3026*b268*b410 + 2584*b268*b411
     + 2584*b268*b412 + 1360*b268*b413 + 1904*b268*b414 + 34*b268*b415 + 1700*
    b268*b416 + 136*b268*b417 + 1224*b268*b418 + 918*b268*b419 + 2890*b268*b420
     + 2964*b268*b421 + 3306*b268*b423 + 9348*b268*b424 + 9348*b268*b425 + 684*
    b268*b426 + 8094*b268*b427 + 912*b268*b428 + 8778*b268*b429 + 8436*b268*
    b430 + 3420*b268*b431 + 10146*b268*b432 + 8664*b268*b433 + 8664*b268*b434
     + 4560*b268*b435 + 6384*b268*b436 + 114*b268*b437 + 5700*b268*b438 + 456*
    b268*b439 + 4104*b268*b440 + 3078*b268*b441 + 9690*b268*b442 + 1924*b268*
    b443 + 2146*b268*b445 + 6068*b268*b446 + 6068*b268*b447 + 444*b268*b448 + 
    5254*b268*b449 + 592*b268*b450 + 5698*b268*b451 + 5476*b268*b452 + 2220*
    b268*b453 + 6586*b268*b454 + 5624*b268*b455 + 5624*b268*b456 + 2960*b268*
    b457 + 4144*b268*b458 + 74*b268*b459 + 3700*b268*b460 + 296*b268*b461 + 
    2664*b268*b462 + 1998*b268*b463 + 6290*b268*b464 + 104*b268*b465 + 116*b268
    *b467 + 328*b268*b468 + 328*b268*b469 + 24*b268*b470 + 284*b268*b471 + 32*
    b268*b472 + 308*b268*b473 + 296*b268*b474 + 120*b268*b475 + 356*b268*b476
     + 304*b268*b477 + 304*b268*b478 + 160*b268*b479 + 224*b268*b480 + 4*b268*
    b481 + 200*b268*b482 + 16*b268*b483 + 144*b268*b484 + 108*b268*b485 + 340*
    b268*b486 + 1924*b268*b487 + 2146*b268*b489 + 6068*b268*b490 + 6068*b268*
    b491 + 444*b268*b492 + 5254*b268*b493 + 592*b268*b494 + 5698*b268*b495 + 
    5476*b268*b496 + 2220*b268*b497 + 6586*b268*b498 + 5624*b268*b499 + 5624*
    b268*b500 + 2960*b268*b501 + 4144*b268*b502 + 74*b268*b503 + 3700*b268*b504
     + 296*b268*b505 + 2664*b268*b506 + 1998*b268*b507 + 6290*b268*b508 + 156*
    b268*b509 + 174*b268*b511 + 492*b268*b512 + 492*b268*b513 + 36*b268*b514 + 
    426*b268*b515 + 48*b268*b516 + 462*b268*b517 + 444*b268*b518 + 180*b268*
    b519 + 534*b268*b520 + 456*b268*b521 + 456*b268*b522 + 240*b268*b523 + 336*
    b268*b524 + 6*b268*b525 + 300*b268*b526 + 24*b268*b527 + 216*b268*b528 + 
    162*b268*b529 + 510*b268*b530 + 15200*b268*b531 + 14880*b268*b532 + 320*
    b268*b533 + 17480*b268*b534 + 17112*b268*b535 + 368*b268*b536 + 11020*b268*
    b537 + 10788*b268*b538 + 232*b268*b539 + 8550*b268*b540 + 8370*b268*b541 + 
    180*b268*b542 + 5130*b268*b543 + 5022*b268*b544 + 108*b268*b545 + 16340*
    b268*b546 + 15996*b268*b547 + 344*b268*b548 + 18430*b268*b549 + 18042*b268*
    b550 + 388*b268*b551 + 8550*b268*b552 + 8370*b268*b553 + 180*b268*b554 + 
    4180*b268*b555 + 4092*b268*b556 + 88*b268*b557 + 15010*b268*b558 + 14694*
    b268*b559 + 316*b268*b560 + 4560*b268*b561 + 4464*b268*b562 + 96*b268*b563
     + 3230*b268*b567 + 3162*b268*b568 + 68*b268*b569 + 11020*b268*b570 + 10788
    *b268*b571 + 232*b268*b572 + 18810*b268*b573 + 18414*b268*b574 + 396*b268*
    b575 + 17100*b268*b576 + 16740*b268*b577 + 360*b268*b578 + 13300*b268*b579
     + 13020*b268*b580 + 280*b268*b581 + 3230*b268*b582 + 3162*b268*b583 + 68*
    b268*b584 + 10830*b268*b585 + 10602*b268*b586 + 228*b268*b587 + 7030*b268*
    b588 + 6882*b268*b589 + 148*b268*b590 + 380*b268*b591 + 372*b268*b592 + 8*
    b268*b593 + 7030*b268*b594 + 6882*b268*b595 + 148*b268*b596 + 570*b268*b597
     + 558*b268*b598 + 12*b268*b599 + 812*b268*b601 + 2296*b268*b602 + 2296*
    b268*b603 + 168*b268*b604 + 1988*b268*b605 + 224*b268*b606 + 2156*b268*b607
     + 2072*b268*b608 + 840*b268*b609 + 2492*b268*b610 + 2128*b268*b611 + 2128*
    b268*b612 + 1120*b268*b613 + 2604*b268*b614 + 1568*b268*b615 + 28*b268*b616
     + 1400*b268*b617 + 112*b268*b618 + 1008*b268*b619 + 756*b268*b620 + 2380*
    b268*b621 + 56*b268*b622 + 728*b268*b623 + 17670*b268*b624 + 17298*b268*
    b625 + 372*b268*b626 + 3094*b269*b289 + 986*b269*b290 + 34*b269*b292 + 510*
    b269*b293 + 374*b269*b294 + 1190*b269*b295 + 374*b269*b296 + 680*b269*b297
     + 714*b269*b298 + 2074*b269*b299 + 2720*b269*b300 + 1972*b269*b301 + 714*
    b269*b302 + 2584*b269*b303 + 1496*b269*b304 + 2890*b269*b305 + 3196*b269*
    b306 + 3060*b269*b307 + 1734*b269*b308 + 102*b269*b309 + 1632*b269*b310 + 
    10556*b269*b311 + 3364*b269*b312 + 116*b269*b314 + 1740*b269*b315 + 1276*
    b269*b316 + 4060*b269*b317 + 1276*b269*b318 + 2320*b269*b319 + 2436*b269*
    b320 + 7076*b269*b321 + 9280*b269*b322 + 6728*b269*b323 + 2436*b269*b324 + 
    8816*b269*b325 + 5104*b269*b326 + 9860*b269*b327 + 10904*b269*b328 + 10440*
    b269*b329 + 5916*b269*b330 + 348*b269*b331 + 5568*b269*b332 + 18018*b269*
    b333 + 5742*b269*b334 + 198*b269*b336 + 2970*b269*b337 + 2178*b269*b338 + 
    6930*b269*b339 + 2178*b269*b340 + 3960*b269*b341 + 4158*b269*b342 + 12078*
    b269*b343 + 15840*b269*b344 + 11484*b269*b345 + 4158*b269*b346 + 15048*b269
    *b347 + 8712*b269*b348 + 16830*b269*b349 + 18612*b269*b350 + 17820*b269*
    b351 + 10098*b269*b352 + 594*b269*b353 + 9504*b269*b354 + 16380*b269*b355
     + 5220*b269*b356 + 180*b269*b358 + 2700*b269*b359 + 1980*b269*b360 + 6300*
    b269*b361 + 1980*b269*b362 + 3600*b269*b363 + 3780*b269*b364 + 10980*b269*
    b365 + 14400*b269*b366 + 10440*b269*b367 + 3780*b269*b368 + 13680*b269*b369
     + 7920*b269*b370 + 15300*b269*b371 + 16920*b269*b372 + 16200*b269*b373 + 
    9180*b269*b374 + 540*b269*b375 + 8640*b269*b376 + 12740*b269*b377 + 4060*
    b269*b378 + 140*b269*b380 + 2100*b269*b381 + 1540*b269*b382 + 4900*b269*
    b383 + 1540*b269*b384 + 2800*b269*b385 + 2940*b269*b386 + 8540*b269*b387 + 
    11200*b269*b388 + 8120*b269*b389 + 2940*b269*b390 + 10640*b269*b391 + 6160*
    b269*b392 + 11900*b269*b393 + 13160*b269*b394 + 12600*b269*b395 + 7140*b269
    *b396 + 420*b269*b397 + 6720*b269*b398 + 3094*b269*b399 + 986*b269*b400 + 
    34*b269*b402 + 510*b269*b403 + 374*b269*b404 + 1190*b269*b405 + 374*b269*
    b406 + 680*b269*b407 + 714*b269*b408 + 2074*b269*b409 + 2720*b269*b410 + 
    1972*b269*b411 + 714*b269*b412 + 2584*b269*b413 + 1496*b269*b414 + 2890*
    b269*b415 + 3196*b269*b416 + 3060*b269*b417 + 1734*b269*b418 + 102*b269*
    b419 + 1632*b269*b420 + 10374*b269*b421 + 3306*b269*b422 + 114*b269*b424 + 
    1710*b269*b425 + 1254*b269*b426 + 3990*b269*b427 + 1254*b269*b428 + 2280*
    b269*b429 + 2394*b269*b430 + 6954*b269*b431 + 9120*b269*b432 + 6612*b269*
    b433 + 2394*b269*b434 + 8664*b269*b435 + 5016*b269*b436 + 9690*b269*b437 + 
    10716*b269*b438 + 10260*b269*b439 + 5814*b269*b440 + 342*b269*b441 + 5472*
    b269*b442 + 6734*b269*b443 + 2146*b269*b444 + 74*b269*b446 + 1110*b269*b447
     + 814*b269*b448 + 2590*b269*b449 + 814*b269*b450 + 1480*b269*b451 + 1554*
    b269*b452 + 4514*b269*b453 + 5920*b269*b454 + 4292*b269*b455 + 1554*b269*
    b456 + 5624*b269*b457 + 3256*b269*b458 + 6290*b269*b459 + 6956*b269*b460 + 
    6660*b269*b461 + 3774*b269*b462 + 222*b269*b463 + 3552*b269*b464 + 364*b269
    *b465 + 116*b269*b466 + 4*b269*b468 + 60*b269*b469 + 44*b269*b470 + 140*
    b269*b471 + 44*b269*b472 + 80*b269*b473 + 84*b269*b474 + 244*b269*b475 + 
    320*b269*b476 + 232*b269*b477 + 84*b269*b478 + 304*b269*b479 + 176*b269*
    b480 + 340*b269*b481 + 376*b269*b482 + 360*b269*b483 + 204*b269*b484 + 12*
    b269*b485 + 192*b269*b486 + 6734*b269*b487 + 2146*b269*b488 + 74*b269*b490
     + 1110*b269*b491 + 814*b269*b492 + 2590*b269*b493 + 814*b269*b494 + 1480*
    b269*b495 + 1554*b269*b496 + 4514*b269*b497 + 5920*b269*b498 + 4292*b269*
    b499 + 1554*b269*b500 + 5624*b269*b501 + 3256*b269*b502 + 6290*b269*b503 + 
    6956*b269*b504 + 6660*b269*b505 + 3774*b269*b506 + 222*b269*b507 + 3552*
    b269*b508 + 546*b269*b509 + 174*b269*b510 + 6*b269*b512 + 90*b269*b513 + 66
    *b269*b514 + 210*b269*b515 + 66*b269*b516 + 120*b269*b517 + 126*b269*b518
     + 366*b269*b519 + 480*b269*b520 + 348*b269*b521 + 126*b269*b522 + 456*b269
    *b523 + 264*b269*b524 + 510*b269*b525 + 564*b269*b526 + 540*b269*b527 + 306
    *b269*b528 + 18*b269*b529 + 288*b269*b530 + 13120*b269*b531 + 11520*b269*
    b532 + 4640*b269*b533 + 15088*b269*b534 + 13248*b269*b535 + 5336*b269*b536
     + 9512*b269*b537 + 8352*b269*b538 + 3364*b269*b539 + 7380*b269*b540 + 6480
    *b269*b541 + 2610*b269*b542 + 4428*b269*b543 + 3888*b269*b544 + 1566*b269*
    b545 + 14104*b269*b546 + 12384*b269*b547 + 4988*b269*b548 + 15908*b269*b549
     + 13968*b269*b550 + 5626*b269*b551 + 7380*b269*b552 + 6480*b269*b553 + 
    2610*b269*b554 + 3608*b269*b555 + 3168*b269*b556 + 1276*b269*b557 + 12956*
    b269*b558 + 11376*b269*b559 + 4582*b269*b560 + 3936*b269*b561 + 3456*b269*
    b562 + 1392*b269*b563 + 2788*b269*b567 + 2448*b269*b568 + 986*b269*b569 + 
    9512*b269*b570 + 8352*b269*b571 + 3364*b269*b572 + 16236*b269*b573 + 14256*
    b269*b574 + 5742*b269*b575 + 14760*b269*b576 + 12960*b269*b577 + 5220*b269*
    b578 + 11480*b269*b579 + 10080*b269*b580 + 4060*b269*b581 + 2788*b269*b582
     + 2448*b269*b583 + 986*b269*b584 + 9348*b269*b585 + 8208*b269*b586 + 3306*
    b269*b587 + 6068*b269*b588 + 5328*b269*b589 + 2146*b269*b590 + 328*b269*
    b591 + 288*b269*b592 + 116*b269*b593 + 6068*b269*b594 + 5328*b269*b595 + 
    2146*b269*b596 + 492*b269*b597 + 432*b269*b598 + 174*b269*b599 + 812*b269*
    b600 + 28*b269*b602 + 420*b269*b603 + 308*b269*b604 + 980*b269*b605 + 308*
    b269*b606 + 560*b269*b607 + 588*b269*b608 + 1708*b269*b609 + 2240*b269*b610
     + 1624*b269*b611 + 588*b269*b612 + 2128*b269*b613 + 2016*b269*b614 + 1232*
    b269*b615 + 2380*b269*b616 + 2632*b269*b617 + 2520*b269*b618 + 1428*b269*
    b619 + 84*b269*b620 + 1344*b269*b621 + 812*b269*b622 + 2548*b269*b623 + 
    15252*b269*b624 + 13392*b269*b625 + 5394*b269*b626 + 374*b270*b289 + 2788*
    b270*b290 + 34*b270*b291 + 3060*b270*b293 + 2244*b270*b294 + 1394*b270*b295
     + 510*b270*b296 + 2822*b270*b297 + 3264*b270*b298 + 2516*b270*b299 + 1530*
    b270*b300 + 2210*b270*b301 + 1360*b270*b302 + 1836*b270*b303 + 476*b270*
    b304 + 2414*b270*b305 + 2618*b270*b306 + 1224*b270*b307 + 1802*b270*b308 + 
    1258*b270*b309 + 884*b270*b310 + 1276*b270*b311 + 9512*b270*b312 + 116*b270
    *b313 + 10440*b270*b315 + 7656*b270*b316 + 4756*b270*b317 + 1740*b270*b318
     + 9628*b270*b319 + 11136*b270*b320 + 8584*b270*b321 + 5220*b270*b322 + 
    7540*b270*b323 + 4640*b270*b324 + 6264*b270*b325 + 1624*b270*b326 + 8236*
    b270*b327 + 8932*b270*b328 + 4176*b270*b329 + 6148*b270*b330 + 4292*b270*
    b331 + 3016*b270*b332 + 2178*b270*b333 + 16236*b270*b334 + 198*b270*b335 + 
    17820*b270*b337 + 13068*b270*b338 + 8118*b270*b339 + 2970*b270*b340 + 16434
    *b270*b341 + 19008*b270*b342 + 14652*b270*b343 + 8910*b270*b344 + 12870*
    b270*b345 + 7920*b270*b346 + 10692*b270*b347 + 2772*b270*b348 + 14058*b270*
    b349 + 15246*b270*b350 + 7128*b270*b351 + 10494*b270*b352 + 7326*b270*b353
     + 5148*b270*b354 + 1980*b270*b355 + 14760*b270*b356 + 180*b270*b357 + 
    16200*b270*b359 + 11880*b270*b360 + 7380*b270*b361 + 2700*b270*b362 + 14940
    *b270*b363 + 17280*b270*b364 + 13320*b270*b365 + 8100*b270*b366 + 11700*
    b270*b367 + 7200*b270*b368 + 9720*b270*b369 + 2520*b270*b370 + 12780*b270*
    b371 + 13860*b270*b372 + 6480*b270*b373 + 9540*b270*b374 + 6660*b270*b375
     + 4680*b270*b376 + 1540*b270*b377 + 11480*b270*b378 + 140*b270*b379 + 
    12600*b270*b381 + 9240*b270*b382 + 5740*b270*b383 + 2100*b270*b384 + 11620*
    b270*b385 + 13440*b270*b386 + 10360*b270*b387 + 6300*b270*b388 + 9100*b270*
    b389 + 5600*b270*b390 + 7560*b270*b391 + 1960*b270*b392 + 9940*b270*b393 + 
    10780*b270*b394 + 5040*b270*b395 + 7420*b270*b396 + 5180*b270*b397 + 3640*
    b270*b398 + 374*b270*b399 + 2788*b270*b400 + 34*b270*b401 + 3060*b270*b403
     + 2244*b270*b404 + 1394*b270*b405 + 510*b270*b406 + 2822*b270*b407 + 3264*
    b270*b408 + 2516*b270*b409 + 1530*b270*b410 + 2210*b270*b411 + 1360*b270*
    b412 + 1836*b270*b413 + 476*b270*b414 + 2414*b270*b415 + 2618*b270*b416 + 
    1224*b270*b417 + 1802*b270*b418 + 1258*b270*b419 + 884*b270*b420 + 1254*
    b270*b421 + 9348*b270*b422 + 114*b270*b423 + 10260*b270*b425 + 7524*b270*
    b426 + 4674*b270*b427 + 1710*b270*b428 + 9462*b270*b429 + 10944*b270*b430
     + 8436*b270*b431 + 5130*b270*b432 + 7410*b270*b433 + 4560*b270*b434 + 6156
    *b270*b435 + 1596*b270*b436 + 8094*b270*b437 + 8778*b270*b438 + 4104*b270*
    b439 + 6042*b270*b440 + 4218*b270*b441 + 2964*b270*b442 + 814*b270*b443 + 
    6068*b270*b444 + 74*b270*b445 + 6660*b270*b447 + 4884*b270*b448 + 3034*b270
    *b449 + 1110*b270*b450 + 6142*b270*b451 + 7104*b270*b452 + 5476*b270*b453
     + 3330*b270*b454 + 4810*b270*b455 + 2960*b270*b456 + 3996*b270*b457 + 1036
    *b270*b458 + 5254*b270*b459 + 5698*b270*b460 + 2664*b270*b461 + 3922*b270*
    b462 + 2738*b270*b463 + 1924*b270*b464 + 44*b270*b465 + 328*b270*b466 + 4*
    b270*b467 + 360*b270*b469 + 264*b270*b470 + 164*b270*b471 + 60*b270*b472 + 
    332*b270*b473 + 384*b270*b474 + 296*b270*b475 + 180*b270*b476 + 260*b270*
    b477 + 160*b270*b478 + 216*b270*b479 + 56*b270*b480 + 284*b270*b481 + 308*
    b270*b482 + 144*b270*b483 + 212*b270*b484 + 148*b270*b485 + 104*b270*b486
     + 814*b270*b487 + 6068*b270*b488 + 74*b270*b489 + 6660*b270*b491 + 4884*
    b270*b492 + 3034*b270*b493 + 1110*b270*b494 + 6142*b270*b495 + 7104*b270*
    b496 + 5476*b270*b497 + 3330*b270*b498 + 4810*b270*b499 + 2960*b270*b500 + 
    3996*b270*b501 + 1036*b270*b502 + 5254*b270*b503 + 5698*b270*b504 + 2664*
    b270*b505 + 3922*b270*b506 + 2738*b270*b507 + 1924*b270*b508 + 66*b270*b509
     + 492*b270*b510 + 6*b270*b511 + 540*b270*b513 + 396*b270*b514 + 246*b270*
    b515 + 90*b270*b516 + 498*b270*b517 + 576*b270*b518 + 444*b270*b519 + 270*
    b270*b520 + 390*b270*b521 + 240*b270*b522 + 324*b270*b523 + 84*b270*b524 + 
    426*b270*b525 + 462*b270*b526 + 216*b270*b527 + 318*b270*b528 + 222*b270*
    b529 + 156*b270*b530 + 8960*b270*b531 + 13280*b270*b532 + 13920*b270*b533
     + 10304*b270*b534 + 15272*b270*b535 + 16008*b270*b536 + 6496*b270*b537 + 
    9628*b270*b538 + 10092*b270*b539 + 5040*b270*b540 + 7470*b270*b541 + 7830*
    b270*b542 + 3024*b270*b543 + 4482*b270*b544 + 4698*b270*b545 + 9632*b270*
    b546 + 14276*b270*b547 + 14964*b270*b548 + 10864*b270*b549 + 16102*b270*
    b550 + 16878*b270*b551 + 5040*b270*b552 + 7470*b270*b553 + 7830*b270*b554
     + 2464*b270*b555 + 3652*b270*b556 + 3828*b270*b557 + 8848*b270*b558 + 
    13114*b270*b559 + 13746*b270*b560 + 2688*b270*b561 + 3984*b270*b562 + 4176*
    b270*b563 + 1904*b270*b567 + 2822*b270*b568 + 2958*b270*b569 + 6496*b270*
    b570 + 9628*b270*b571 + 10092*b270*b572 + 11088*b270*b573 + 16434*b270*b574
     + 17226*b270*b575 + 10080*b270*b576 + 14940*b270*b577 + 15660*b270*b578 + 
    7840*b270*b579 + 11620*b270*b580 + 12180*b270*b581 + 1904*b270*b582 + 2822*
    b270*b583 + 2958*b270*b584 + 6384*b270*b585 + 9462*b270*b586 + 9918*b270*
    b587 + 4144*b270*b588 + 6142*b270*b589 + 6438*b270*b590 + 224*b270*b591 + 
    332*b270*b592 + 348*b270*b593 + 4144*b270*b594 + 6142*b270*b595 + 6438*b270
    *b596 + 336*b270*b597 + 498*b270*b598 + 522*b270*b599 + 2296*b270*b600 + 28
    *b270*b601 + 2520*b270*b603 + 1848*b270*b604 + 1148*b270*b605 + 420*b270*
    b606 + 2324*b270*b607 + 2688*b270*b608 + 2072*b270*b609 + 1260*b270*b610 + 
    1820*b270*b611 + 1120*b270*b612 + 1512*b270*b613 + 2324*b270*b614 + 392*
    b270*b615 + 1988*b270*b616 + 2156*b270*b617 + 1008*b270*b618 + 1484*b270*
    b619 + 1036*b270*b620 + 728*b270*b621 + 2436*b270*b622 + 308*b270*b623 + 
    10416*b270*b624 + 15438*b270*b625 + 16182*b270*b626 + 1190*b271*b289 + 2788
    *b271*b290 + 510*b271*b291 + 3060*b271*b292 + 2584*b271*b294 + 3094*b271*
    b295 + 442*b271*b296 + 986*b271*b297 + 374*b271*b298 + 2618*b271*b299 + 
    1088*b271*b300 + 2958*b271*b301 + 2278*b271*b302 + 3196*b271*b303 + 68*b271
    *b304 + 340*b271*b305 + 3366*b271*b306 + 1904*b271*b307 + 2380*b271*b308 + 
    3366*b271*b309 + 2040*b271*b310 + 4060*b271*b311 + 9512*b271*b312 + 1740*
    b271*b313 + 10440*b271*b314 + 8816*b271*b316 + 10556*b271*b317 + 1508*b271*
    b318 + 3364*b271*b319 + 1276*b271*b320 + 8932*b271*b321 + 3712*b271*b322 + 
    10092*b271*b323 + 7772*b271*b324 + 10904*b271*b325 + 232*b271*b326 + 1160*
    b271*b327 + 11484*b271*b328 + 6496*b271*b329 + 8120*b271*b330 + 11484*b271*
    b331 + 6960*b271*b332 + 6930*b271*b333 + 16236*b271*b334 + 2970*b271*b335
     + 17820*b271*b336 + 15048*b271*b338 + 18018*b271*b339 + 2574*b271*b340 + 
    5742*b271*b341 + 2178*b271*b342 + 15246*b271*b343 + 6336*b271*b344 + 17226*
    b271*b345 + 13266*b271*b346 + 18612*b271*b347 + 396*b271*b348 + 1980*b271*
    b349 + 19602*b271*b350 + 11088*b271*b351 + 13860*b271*b352 + 19602*b271*
    b353 + 11880*b271*b354 + 6300*b271*b355 + 14760*b271*b356 + 2700*b271*b357
     + 16200*b271*b358 + 13680*b271*b360 + 16380*b271*b361 + 2340*b271*b362 + 
    5220*b271*b363 + 1980*b271*b364 + 13860*b271*b365 + 5760*b271*b366 + 15660*
    b271*b367 + 12060*b271*b368 + 16920*b271*b369 + 360*b271*b370 + 1800*b271*
    b371 + 17820*b271*b372 + 10080*b271*b373 + 12600*b271*b374 + 17820*b271*
    b375 + 10800*b271*b376 + 4900*b271*b377 + 11480*b271*b378 + 2100*b271*b379
     + 12600*b271*b380 + 10640*b271*b382 + 12740*b271*b383 + 1820*b271*b384 + 
    4060*b271*b385 + 1540*b271*b386 + 10780*b271*b387 + 4480*b271*b388 + 12180*
    b271*b389 + 9380*b271*b390 + 13160*b271*b391 + 280*b271*b392 + 1400*b271*
    b393 + 13860*b271*b394 + 7840*b271*b395 + 9800*b271*b396 + 13860*b271*b397
     + 8400*b271*b398 + 1190*b271*b399 + 2788*b271*b400 + 510*b271*b401 + 3060*
    b271*b402 + 2584*b271*b404 + 3094*b271*b405 + 442*b271*b406 + 986*b271*b407
     + 374*b271*b408 + 2618*b271*b409 + 1088*b271*b410 + 2958*b271*b411 + 2278*
    b271*b412 + 3196*b271*b413 + 68*b271*b414 + 340*b271*b415 + 3366*b271*b416
     + 1904*b271*b417 + 2380*b271*b418 + 3366*b271*b419 + 2040*b271*b420 + 3990
    *b271*b421 + 9348*b271*b422 + 1710*b271*b423 + 10260*b271*b424 + 8664*b271*
    b426 + 10374*b271*b427 + 1482*b271*b428 + 3306*b271*b429 + 1254*b271*b430
     + 8778*b271*b431 + 3648*b271*b432 + 9918*b271*b433 + 7638*b271*b434 + 
    10716*b271*b435 + 228*b271*b436 + 1140*b271*b437 + 11286*b271*b438 + 6384*
    b271*b439 + 7980*b271*b440 + 11286*b271*b441 + 6840*b271*b442 + 2590*b271*
    b443 + 6068*b271*b444 + 1110*b271*b445 + 6660*b271*b446 + 5624*b271*b448 + 
    6734*b271*b449 + 962*b271*b450 + 2146*b271*b451 + 814*b271*b452 + 5698*b271
    *b453 + 2368*b271*b454 + 6438*b271*b455 + 4958*b271*b456 + 6956*b271*b457
     + 148*b271*b458 + 740*b271*b459 + 7326*b271*b460 + 4144*b271*b461 + 5180*
    b271*b462 + 7326*b271*b463 + 4440*b271*b464 + 140*b271*b465 + 328*b271*b466
     + 60*b271*b467 + 360*b271*b468 + 304*b271*b470 + 364*b271*b471 + 52*b271*
    b472 + 116*b271*b473 + 44*b271*b474 + 308*b271*b475 + 128*b271*b476 + 348*
    b271*b477 + 268*b271*b478 + 376*b271*b479 + 8*b271*b480 + 40*b271*b481 + 
    396*b271*b482 + 224*b271*b483 + 280*b271*b484 + 396*b271*b485 + 240*b271*
    b486 + 2590*b271*b487 + 6068*b271*b488 + 1110*b271*b489 + 6660*b271*b490 + 
    5624*b271*b492 + 6734*b271*b493 + 962*b271*b494 + 2146*b271*b495 + 814*b271
    *b496 + 5698*b271*b497 + 2368*b271*b498 + 6438*b271*b499 + 4958*b271*b500
     + 6956*b271*b501 + 148*b271*b502 + 740*b271*b503 + 7326*b271*b504 + 4144*
    b271*b505 + 5180*b271*b506 + 7326*b271*b507 + 4440*b271*b508 + 210*b271*
    b509 + 492*b271*b510 + 90*b271*b511 + 540*b271*b512 + 456*b271*b514 + 546*
    b271*b515 + 78*b271*b516 + 174*b271*b517 + 66*b271*b518 + 462*b271*b519 + 
    192*b271*b520 + 522*b271*b521 + 402*b271*b522 + 564*b271*b523 + 12*b271*
    b524 + 60*b271*b525 + 594*b271*b526 + 336*b271*b527 + 420*b271*b528 + 594*
    b271*b529 + 360*b271*b530 + 6560*b271*b531 + 12640*b271*b532 + 640*b271*
    b533 + 7544*b271*b534 + 14536*b271*b535 + 736*b271*b536 + 4756*b271*b537 + 
    9164*b271*b538 + 464*b271*b539 + 3690*b271*b540 + 7110*b271*b541 + 360*b271
    *b542 + 2214*b271*b543 + 4266*b271*b544 + 216*b271*b545 + 7052*b271*b546 + 
    13588*b271*b547 + 688*b271*b548 + 7954*b271*b549 + 15326*b271*b550 + 776*
    b271*b551 + 3690*b271*b552 + 7110*b271*b553 + 360*b271*b554 + 1804*b271*
    b555 + 3476*b271*b556 + 176*b271*b557 + 6478*b271*b558 + 12482*b271*b559 + 
    632*b271*b560 + 1968*b271*b561 + 3792*b271*b562 + 192*b271*b563 + 1394*b271
    *b567 + 2686*b271*b568 + 136*b271*b569 + 4756*b271*b570 + 9164*b271*b571 + 
    464*b271*b572 + 8118*b271*b573 + 15642*b271*b574 + 792*b271*b575 + 7380*
    b271*b576 + 14220*b271*b577 + 720*b271*b578 + 5740*b271*b579 + 11060*b271*
    b580 + 560*b271*b581 + 1394*b271*b582 + 2686*b271*b583 + 136*b271*b584 + 
    4674*b271*b585 + 9006*b271*b586 + 456*b271*b587 + 3034*b271*b588 + 5846*
    b271*b589 + 296*b271*b590 + 164*b271*b591 + 316*b271*b592 + 16*b271*b593 + 
    3034*b271*b594 + 5846*b271*b595 + 296*b271*b596 + 246*b271*b597 + 474*b271*
    b598 + 24*b271*b599 + 2296*b271*b600 + 420*b271*b601 + 2520*b271*b602 + 
    2128*b271*b604 + 2548*b271*b605 + 364*b271*b606 + 812*b271*b607 + 308*b271*
    b608 + 2156*b271*b609 + 896*b271*b610 + 2436*b271*b611 + 1876*b271*b612 + 
    2632*b271*b613 + 2212*b271*b614 + 56*b271*b615 + 280*b271*b616 + 2772*b271*
    b617 + 1568*b271*b618 + 1960*b271*b619 + 2772*b271*b620 + 1680*b271*b621 + 
    112*b271*b622 + 980*b271*b623 + 7626*b271*b624 + 14694*b271*b625 + 744*b271
    *b626 + 2788*b272*b289 + 204*b272*b290 + 374*b272*b291 + 2244*b272*b292 + 
    2584*b272*b293 + 1904*b272*b295 + 68*b272*b296 + 2040*b272*b297 + 2448*b272
    *b298 + 2516*b272*b299 + 1564*b272*b300 + 442*b272*b301 + 680*b272*b302 + 
    2924*b272*b303 + 2618*b272*b304 + 510*b272*b305 + 3026*b272*b306 + 1632*
    b272*b307 + 476*b272*b308 + 3026*b272*b309 + 1496*b272*b310 + 9512*b272*
    b311 + 696*b272*b312 + 1276*b272*b313 + 7656*b272*b314 + 8816*b272*b315 + 
    6496*b272*b317 + 232*b272*b318 + 6960*b272*b319 + 8352*b272*b320 + 8584*
    b272*b321 + 5336*b272*b322 + 1508*b272*b323 + 2320*b272*b324 + 9976*b272*
    b325 + 8932*b272*b326 + 1740*b272*b327 + 10324*b272*b328 + 5568*b272*b329
     + 1624*b272*b330 + 10324*b272*b331 + 5104*b272*b332 + 16236*b272*b333 + 
    1188*b272*b334 + 2178*b272*b335 + 13068*b272*b336 + 15048*b272*b337 + 11088
    *b272*b339 + 396*b272*b340 + 11880*b272*b341 + 14256*b272*b342 + 14652*b272
    *b343 + 9108*b272*b344 + 2574*b272*b345 + 3960*b272*b346 + 17028*b272*b347
     + 15246*b272*b348 + 2970*b272*b349 + 17622*b272*b350 + 9504*b272*b351 + 
    2772*b272*b352 + 17622*b272*b353 + 8712*b272*b354 + 14760*b272*b355 + 1080*
    b272*b356 + 1980*b272*b357 + 11880*b272*b358 + 13680*b272*b359 + 10080*b272
    *b361 + 360*b272*b362 + 10800*b272*b363 + 12960*b272*b364 + 13320*b272*b365
     + 8280*b272*b366 + 2340*b272*b367 + 3600*b272*b368 + 15480*b272*b369 + 
    13860*b272*b370 + 2700*b272*b371 + 16020*b272*b372 + 8640*b272*b373 + 2520*
    b272*b374 + 16020*b272*b375 + 7920*b272*b376 + 11480*b272*b377 + 840*b272*
    b378 + 1540*b272*b379 + 9240*b272*b380 + 10640*b272*b381 + 7840*b272*b383
     + 280*b272*b384 + 8400*b272*b385 + 10080*b272*b386 + 10360*b272*b387 + 
    6440*b272*b388 + 1820*b272*b389 + 2800*b272*b390 + 12040*b272*b391 + 10780*
    b272*b392 + 2100*b272*b393 + 12460*b272*b394 + 6720*b272*b395 + 1960*b272*
    b396 + 12460*b272*b397 + 6160*b272*b398 + 2788*b272*b399 + 204*b272*b400 + 
    374*b272*b401 + 2244*b272*b402 + 2584*b272*b403 + 1904*b272*b405 + 68*b272*
    b406 + 2040*b272*b407 + 2448*b272*b408 + 2516*b272*b409 + 1564*b272*b410 + 
    442*b272*b411 + 680*b272*b412 + 2924*b272*b413 + 2618*b272*b414 + 510*b272*
    b415 + 3026*b272*b416 + 1632*b272*b417 + 476*b272*b418 + 3026*b272*b419 + 
    1496*b272*b420 + 9348*b272*b421 + 684*b272*b422 + 1254*b272*b423 + 7524*
    b272*b424 + 8664*b272*b425 + 6384*b272*b427 + 228*b272*b428 + 6840*b272*
    b429 + 8208*b272*b430 + 8436*b272*b431 + 5244*b272*b432 + 1482*b272*b433 + 
    2280*b272*b434 + 9804*b272*b435 + 8778*b272*b436 + 1710*b272*b437 + 10146*
    b272*b438 + 5472*b272*b439 + 1596*b272*b440 + 10146*b272*b441 + 5016*b272*
    b442 + 6068*b272*b443 + 444*b272*b444 + 814*b272*b445 + 4884*b272*b446 + 
    5624*b272*b447 + 4144*b272*b449 + 148*b272*b450 + 4440*b272*b451 + 5328*
    b272*b452 + 5476*b272*b453 + 3404*b272*b454 + 962*b272*b455 + 1480*b272*
    b456 + 6364*b272*b457 + 5698*b272*b458 + 1110*b272*b459 + 6586*b272*b460 + 
    3552*b272*b461 + 1036*b272*b462 + 6586*b272*b463 + 3256*b272*b464 + 328*
    b272*b465 + 24*b272*b466 + 44*b272*b467 + 264*b272*b468 + 304*b272*b469 + 
    224*b272*b471 + 8*b272*b472 + 240*b272*b473 + 288*b272*b474 + 296*b272*b475
     + 184*b272*b476 + 52*b272*b477 + 80*b272*b478 + 344*b272*b479 + 308*b272*
    b480 + 60*b272*b481 + 356*b272*b482 + 192*b272*b483 + 56*b272*b484 + 356*
    b272*b485 + 176*b272*b486 + 6068*b272*b487 + 444*b272*b488 + 814*b272*b489
     + 4884*b272*b490 + 5624*b272*b491 + 4144*b272*b493 + 148*b272*b494 + 4440*
    b272*b495 + 5328*b272*b496 + 5476*b272*b497 + 3404*b272*b498 + 962*b272*
    b499 + 1480*b272*b500 + 6364*b272*b501 + 5698*b272*b502 + 1110*b272*b503 + 
    6586*b272*b504 + 3552*b272*b505 + 1036*b272*b506 + 6586*b272*b507 + 3256*
    b272*b508 + 492*b272*b509 + 36*b272*b510 + 66*b272*b511 + 396*b272*b512 + 
    456*b272*b513 + 336*b272*b515 + 12*b272*b516 + 360*b272*b517 + 432*b272*
    b518 + 444*b272*b519 + 276*b272*b520 + 78*b272*b521 + 120*b272*b522 + 516*
    b272*b523 + 462*b272*b524 + 90*b272*b525 + 534*b272*b526 + 288*b272*b527 + 
    84*b272*b528 + 534*b272*b529 + 264*b272*b530 + 960*b272*b531 + 640*b272*
    b532 + 9440*b272*b533 + 1104*b272*b534 + 736*b272*b535 + 10856*b272*b536 + 
    696*b272*b537 + 464*b272*b538 + 6844*b272*b539 + 540*b272*b540 + 360*b272*
    b541 + 5310*b272*b542 + 324*b272*b543 + 216*b272*b544 + 3186*b272*b545 + 
    1032*b272*b546 + 688*b272*b547 + 10148*b272*b548 + 1164*b272*b549 + 776*
    b272*b550 + 11446*b272*b551 + 540*b272*b552 + 360*b272*b553 + 5310*b272*
    b554 + 264*b272*b555 + 176*b272*b556 + 2596*b272*b557 + 948*b272*b558 + 632
    *b272*b559 + 9322*b272*b560 + 288*b272*b561 + 192*b272*b562 + 2832*b272*
    b563 + 204*b272*b567 + 136*b272*b568 + 2006*b272*b569 + 696*b272*b570 + 464
    *b272*b571 + 6844*b272*b572 + 1188*b272*b573 + 792*b272*b574 + 11682*b272*
    b575 + 1080*b272*b576 + 720*b272*b577 + 10620*b272*b578 + 840*b272*b579 + 
    560*b272*b580 + 8260*b272*b581 + 204*b272*b582 + 136*b272*b583 + 2006*b272*
    b584 + 684*b272*b585 + 456*b272*b586 + 6726*b272*b587 + 444*b272*b588 + 296
    *b272*b589 + 4366*b272*b590 + 24*b272*b591 + 16*b272*b592 + 236*b272*b593
     + 444*b272*b594 + 296*b272*b595 + 4366*b272*b596 + 36*b272*b597 + 24*b272*
    b598 + 354*b272*b599 + 168*b272*b600 + 308*b272*b601 + 1848*b272*b602 + 
    2128*b272*b603 + 1568*b272*b605 + 56*b272*b606 + 1680*b272*b607 + 2016*b272
    *b608 + 2072*b272*b609 + 1288*b272*b610 + 364*b272*b611 + 560*b272*b612 + 
    2408*b272*b613 + 112*b272*b614 + 2156*b272*b615 + 420*b272*b616 + 2492*b272
    *b617 + 1344*b272*b618 + 392*b272*b619 + 2492*b272*b620 + 1232*b272*b621 + 
    1652*b272*b622 + 2296*b272*b623 + 1116*b272*b624 + 744*b272*b625 + 10974*
    b272*b626 + 884*b273*b289 + 2414*b273*b290 + 1190*b273*b291 + 1394*b273*
    b292 + 3094*b273*b293 + 1904*b273*b294 + 748*b273*b296 + 1938*b273*b297 + 
    2142*b273*b298 + 204*b273*b299 + 2108*b273*b301 + 1394*b273*b302 + 2108*
    b273*b303 + 850*b273*b304 + 2550*b273*b305 + 2584*b273*b306 + 1360*b273*
    b307 + 2244*b273*b308 + 1972*b273*b309 + 1020*b273*b310 + 3016*b273*b311 + 
    8236*b273*b312 + 4060*b273*b313 + 4756*b273*b314 + 10556*b273*b315 + 6496*
    b273*b316 + 2552*b273*b318 + 6612*b273*b319 + 7308*b273*b320 + 696*b273*
    b321 + 7192*b273*b323 + 4756*b273*b324 + 7192*b273*b325 + 2900*b273*b326 + 
    8700*b273*b327 + 8816*b273*b328 + 4640*b273*b329 + 7656*b273*b330 + 6728*
    b273*b331 + 3480*b273*b332 + 5148*b273*b333 + 14058*b273*b334 + 6930*b273*
    b335 + 8118*b273*b336 + 18018*b273*b337 + 11088*b273*b338 + 4356*b273*b340
     + 11286*b273*b341 + 12474*b273*b342 + 1188*b273*b343 + 12276*b273*b345 + 
    8118*b273*b346 + 12276*b273*b347 + 4950*b273*b348 + 14850*b273*b349 + 15048
    *b273*b350 + 7920*b273*b351 + 13068*b273*b352 + 11484*b273*b353 + 5940*b273
    *b354 + 4680*b273*b355 + 12780*b273*b356 + 6300*b273*b357 + 7380*b273*b358
     + 16380*b273*b359 + 10080*b273*b360 + 3960*b273*b362 + 10260*b273*b363 + 
    11340*b273*b364 + 1080*b273*b365 + 11160*b273*b367 + 7380*b273*b368 + 11160
    *b273*b369 + 4500*b273*b370 + 13500*b273*b371 + 13680*b273*b372 + 7200*b273
    *b373 + 11880*b273*b374 + 10440*b273*b375 + 5400*b273*b376 + 3640*b273*b377
     + 9940*b273*b378 + 4900*b273*b379 + 5740*b273*b380 + 12740*b273*b381 + 
    7840*b273*b382 + 3080*b273*b384 + 7980*b273*b385 + 8820*b273*b386 + 840*
    b273*b387 + 8680*b273*b389 + 5740*b273*b390 + 8680*b273*b391 + 3500*b273*
    b392 + 10500*b273*b393 + 10640*b273*b394 + 5600*b273*b395 + 9240*b273*b396
     + 8120*b273*b397 + 4200*b273*b398 + 884*b273*b399 + 2414*b273*b400 + 1190*
    b273*b401 + 1394*b273*b402 + 3094*b273*b403 + 1904*b273*b404 + 748*b273*
    b406 + 1938*b273*b407 + 2142*b273*b408 + 204*b273*b409 + 2108*b273*b411 + 
    1394*b273*b412 + 2108*b273*b413 + 850*b273*b414 + 2550*b273*b415 + 2584*
    b273*b416 + 1360*b273*b417 + 2244*b273*b418 + 1972*b273*b419 + 1020*b273*
    b420 + 2964*b273*b421 + 8094*b273*b422 + 3990*b273*b423 + 4674*b273*b424 + 
    10374*b273*b425 + 6384*b273*b426 + 2508*b273*b428 + 6498*b273*b429 + 7182*
    b273*b430 + 684*b273*b431 + 7068*b273*b433 + 4674*b273*b434 + 7068*b273*
    b435 + 2850*b273*b436 + 8550*b273*b437 + 8664*b273*b438 + 4560*b273*b439 + 
    7524*b273*b440 + 6612*b273*b441 + 3420*b273*b442 + 1924*b273*b443 + 5254*
    b273*b444 + 2590*b273*b445 + 3034*b273*b446 + 6734*b273*b447 + 4144*b273*
    b448 + 1628*b273*b450 + 4218*b273*b451 + 4662*b273*b452 + 444*b273*b453 + 
    4588*b273*b455 + 3034*b273*b456 + 4588*b273*b457 + 1850*b273*b458 + 5550*
    b273*b459 + 5624*b273*b460 + 2960*b273*b461 + 4884*b273*b462 + 4292*b273*
    b463 + 2220*b273*b464 + 104*b273*b465 + 284*b273*b466 + 140*b273*b467 + 164
    *b273*b468 + 364*b273*b469 + 224*b273*b470 + 88*b273*b472 + 228*b273*b473
     + 252*b273*b474 + 24*b273*b475 + 248*b273*b477 + 164*b273*b478 + 248*b273*
    b479 + 100*b273*b480 + 300*b273*b481 + 304*b273*b482 + 160*b273*b483 + 264*
    b273*b484 + 232*b273*b485 + 120*b273*b486 + 1924*b273*b487 + 5254*b273*b488
     + 2590*b273*b489 + 3034*b273*b490 + 6734*b273*b491 + 4144*b273*b492 + 1628
    *b273*b494 + 4218*b273*b495 + 4662*b273*b496 + 444*b273*b497 + 4588*b273*
    b499 + 3034*b273*b500 + 4588*b273*b501 + 1850*b273*b502 + 5550*b273*b503 + 
    5624*b273*b504 + 2960*b273*b505 + 4884*b273*b506 + 4292*b273*b507 + 2220*
    b273*b508 + 156*b273*b509 + 426*b273*b510 + 210*b273*b511 + 246*b273*b512
     + 546*b273*b513 + 336*b273*b514 + 132*b273*b516 + 342*b273*b517 + 378*b273
    *b518 + 36*b273*b519 + 372*b273*b521 + 246*b273*b522 + 372*b273*b523 + 150*
    b273*b524 + 450*b273*b525 + 456*b273*b526 + 240*b273*b527 + 396*b273*b528
     + 348*b273*b529 + 180*b273*b530 + 4000*b273*b531 + 7360*b273*b532 + 10880*
    b273*b533 + 4600*b273*b534 + 8464*b273*b535 + 12512*b273*b536 + 2900*b273*
    b537 + 5336*b273*b538 + 7888*b273*b539 + 2250*b273*b540 + 4140*b273*b541 + 
    6120*b273*b542 + 1350*b273*b543 + 2484*b273*b544 + 3672*b273*b545 + 4300*
    b273*b546 + 7912*b273*b547 + 11696*b273*b548 + 4850*b273*b549 + 8924*b273*
    b550 + 13192*b273*b551 + 2250*b273*b552 + 4140*b273*b553 + 6120*b273*b554
     + 1100*b273*b555 + 2024*b273*b556 + 2992*b273*b557 + 3950*b273*b558 + 7268
    *b273*b559 + 10744*b273*b560 + 1200*b273*b561 + 2208*b273*b562 + 3264*b273*
    b563 + 850*b273*b567 + 1564*b273*b568 + 2312*b273*b569 + 2900*b273*b570 + 
    5336*b273*b571 + 7888*b273*b572 + 4950*b273*b573 + 9108*b273*b574 + 13464*
    b273*b575 + 4500*b273*b576 + 8280*b273*b577 + 12240*b273*b578 + 3500*b273*
    b579 + 6440*b273*b580 + 9520*b273*b581 + 850*b273*b582 + 1564*b273*b583 + 
    2312*b273*b584 + 2850*b273*b585 + 5244*b273*b586 + 7752*b273*b587 + 1850*
    b273*b588 + 3404*b273*b589 + 5032*b273*b590 + 100*b273*b591 + 184*b273*b592
     + 272*b273*b593 + 1850*b273*b594 + 3404*b273*b595 + 5032*b273*b596 + 150*
    b273*b597 + 276*b273*b598 + 408*b273*b599 + 1988*b273*b600 + 980*b273*b601
     + 1148*b273*b602 + 2548*b273*b603 + 1568*b273*b604 + 616*b273*b606 + 1596*
    b273*b607 + 1764*b273*b608 + 168*b273*b609 + 1736*b273*b611 + 1148*b273*
    b612 + 1736*b273*b613 + 1288*b273*b614 + 700*b273*b615 + 2100*b273*b616 + 
    2128*b273*b617 + 1120*b273*b618 + 1848*b273*b619 + 1624*b273*b620 + 840*
    b273*b621 + 1904*b273*b622 + 728*b273*b623 + 4650*b273*b624 + 8556*b273*
    b625 + 12648*b273*b626 + 2346*b274*b289 + 272*b274*b290 + 374*b274*b291 + 
    510*b274*b292 + 442*b274*b293 + 68*b274*b294 + 748*b274*b295 + 2652*b274*
    b297 + 3094*b274*b298 + 442*b274*b299 + 2006*b274*b300 + 1666*b274*b301 + 
    2890*b274*b302 + 2856*b274*b303 + 1292*b274*b304 + 1394*b274*b305 + 1904*
    b274*b306 + 1326*b274*b307 + 1802*b274*b308 + 2618*b274*b309 + 1700*b274*
    b310 + 8004*b274*b311 + 928*b274*b312 + 1276*b274*b313 + 1740*b274*b314 + 
    1508*b274*b315 + 232*b274*b316 + 2552*b274*b317 + 9048*b274*b319 + 10556*
    b274*b320 + 1508*b274*b321 + 6844*b274*b322 + 5684*b274*b323 + 9860*b274*
    b324 + 9744*b274*b325 + 4408*b274*b326 + 4756*b274*b327 + 6496*b274*b328 + 
    4524*b274*b329 + 6148*b274*b330 + 8932*b274*b331 + 5800*b274*b332 + 13662*
    b274*b333 + 1584*b274*b334 + 2178*b274*b335 + 2970*b274*b336 + 2574*b274*
    b337 + 396*b274*b338 + 4356*b274*b339 + 15444*b274*b341 + 18018*b274*b342
     + 2574*b274*b343 + 11682*b274*b344 + 9702*b274*b345 + 16830*b274*b346 + 
    16632*b274*b347 + 7524*b274*b348 + 8118*b274*b349 + 11088*b274*b350 + 7722*
    b274*b351 + 10494*b274*b352 + 15246*b274*b353 + 9900*b274*b354 + 12420*b274
    *b355 + 1440*b274*b356 + 1980*b274*b357 + 2700*b274*b358 + 2340*b274*b359
     + 360*b274*b360 + 3960*b274*b361 + 14040*b274*b363 + 16380*b274*b364 + 
    2340*b274*b365 + 10620*b274*b366 + 8820*b274*b367 + 15300*b274*b368 + 15120
    *b274*b369 + 6840*b274*b370 + 7380*b274*b371 + 10080*b274*b372 + 7020*b274*
    b373 + 9540*b274*b374 + 13860*b274*b375 + 9000*b274*b376 + 9660*b274*b377
     + 1120*b274*b378 + 1540*b274*b379 + 2100*b274*b380 + 1820*b274*b381 + 280*
    b274*b382 + 3080*b274*b383 + 10920*b274*b385 + 12740*b274*b386 + 1820*b274*
    b387 + 8260*b274*b388 + 6860*b274*b389 + 11900*b274*b390 + 11760*b274*b391
     + 5320*b274*b392 + 5740*b274*b393 + 7840*b274*b394 + 5460*b274*b395 + 7420
    *b274*b396 + 10780*b274*b397 + 7000*b274*b398 + 2346*b274*b399 + 272*b274*
    b400 + 374*b274*b401 + 510*b274*b402 + 442*b274*b403 + 68*b274*b404 + 748*
    b274*b405 + 2652*b274*b407 + 3094*b274*b408 + 442*b274*b409 + 2006*b274*
    b410 + 1666*b274*b411 + 2890*b274*b412 + 2856*b274*b413 + 1292*b274*b414 + 
    1394*b274*b415 + 1904*b274*b416 + 1326*b274*b417 + 1802*b274*b418 + 2618*
    b274*b419 + 1700*b274*b420 + 7866*b274*b421 + 912*b274*b422 + 1254*b274*
    b423 + 1710*b274*b424 + 1482*b274*b425 + 228*b274*b426 + 2508*b274*b427 + 
    8892*b274*b429 + 10374*b274*b430 + 1482*b274*b431 + 6726*b274*b432 + 5586*
    b274*b433 + 9690*b274*b434 + 9576*b274*b435 + 4332*b274*b436 + 4674*b274*
    b437 + 6384*b274*b438 + 4446*b274*b439 + 6042*b274*b440 + 8778*b274*b441 + 
    5700*b274*b442 + 5106*b274*b443 + 592*b274*b444 + 814*b274*b445 + 1110*b274
    *b446 + 962*b274*b447 + 148*b274*b448 + 1628*b274*b449 + 5772*b274*b451 + 
    6734*b274*b452 + 962*b274*b453 + 4366*b274*b454 + 3626*b274*b455 + 6290*
    b274*b456 + 6216*b274*b457 + 2812*b274*b458 + 3034*b274*b459 + 4144*b274*
    b460 + 2886*b274*b461 + 3922*b274*b462 + 5698*b274*b463 + 3700*b274*b464 + 
    276*b274*b465 + 32*b274*b466 + 44*b274*b467 + 60*b274*b468 + 52*b274*b469
     + 8*b274*b470 + 88*b274*b471 + 312*b274*b473 + 364*b274*b474 + 52*b274*
    b475 + 236*b274*b476 + 196*b274*b477 + 340*b274*b478 + 336*b274*b479 + 152*
    b274*b480 + 164*b274*b481 + 224*b274*b482 + 156*b274*b483 + 212*b274*b484
     + 308*b274*b485 + 200*b274*b486 + 5106*b274*b487 + 592*b274*b488 + 814*
    b274*b489 + 1110*b274*b490 + 962*b274*b491 + 148*b274*b492 + 1628*b274*b493
     + 5772*b274*b495 + 6734*b274*b496 + 962*b274*b497 + 4366*b274*b498 + 3626*
    b274*b499 + 6290*b274*b500 + 6216*b274*b501 + 2812*b274*b502 + 3034*b274*
    b503 + 4144*b274*b504 + 2886*b274*b505 + 3922*b274*b506 + 5698*b274*b507 + 
    3700*b274*b508 + 414*b274*b509 + 48*b274*b510 + 66*b274*b511 + 90*b274*b512
     + 78*b274*b513 + 12*b274*b514 + 132*b274*b515 + 468*b274*b517 + 546*b274*
    b518 + 78*b274*b519 + 354*b274*b520 + 294*b274*b521 + 510*b274*b522 + 504*
    b274*b523 + 228*b274*b524 + 246*b274*b525 + 336*b274*b526 + 234*b274*b527
     + 318*b274*b528 + 462*b274*b529 + 300*b274*b530 + 1600*b274*b531 + 1280*
    b274*b532 + 4800*b274*b533 + 1840*b274*b534 + 1472*b274*b535 + 5520*b274*
    b536 + 1160*b274*b537 + 928*b274*b538 + 3480*b274*b539 + 900*b274*b540 + 
    720*b274*b541 + 2700*b274*b542 + 540*b274*b543 + 432*b274*b544 + 1620*b274*
    b545 + 1720*b274*b546 + 1376*b274*b547 + 5160*b274*b548 + 1940*b274*b549 + 
    1552*b274*b550 + 5820*b274*b551 + 900*b274*b552 + 720*b274*b553 + 2700*b274
    *b554 + 440*b274*b555 + 352*b274*b556 + 1320*b274*b557 + 1580*b274*b558 + 
    1264*b274*b559 + 4740*b274*b560 + 480*b274*b561 + 384*b274*b562 + 1440*b274
    *b563 + 340*b274*b567 + 272*b274*b568 + 1020*b274*b569 + 1160*b274*b570 + 
    928*b274*b571 + 3480*b274*b572 + 1980*b274*b573 + 1584*b274*b574 + 5940*
    b274*b575 + 1800*b274*b576 + 1440*b274*b577 + 5400*b274*b578 + 1400*b274*
    b579 + 1120*b274*b580 + 4200*b274*b581 + 340*b274*b582 + 272*b274*b583 + 
    1020*b274*b584 + 1140*b274*b585 + 912*b274*b586 + 3420*b274*b587 + 740*b274
    *b588 + 592*b274*b589 + 2220*b274*b590 + 40*b274*b591 + 32*b274*b592 + 120*
    b274*b593 + 740*b274*b594 + 592*b274*b595 + 2220*b274*b596 + 60*b274*b597
     + 48*b274*b598 + 180*b274*b599 + 224*b274*b600 + 308*b274*b601 + 420*b274*
    b602 + 364*b274*b603 + 56*b274*b604 + 616*b274*b605 + 2184*b274*b607 + 2548
    *b274*b608 + 364*b274*b609 + 1652*b274*b610 + 1372*b274*b611 + 2380*b274*
    b612 + 2352*b274*b613 + 224*b274*b614 + 1064*b274*b615 + 1148*b274*b616 + 
    1568*b274*b617 + 1092*b274*b618 + 1484*b274*b619 + 2156*b274*b620 + 1400*
    b274*b621 + 840*b274*b622 + 1932*b274*b623 + 1860*b274*b624 + 1488*b274*
    b625 + 5580*b274*b626 + 1904*b275*b289 + 2618*b275*b290 + 680*b275*b291 + 
    2822*b275*b292 + 986*b275*b293 + 2040*b275*b294 + 1938*b275*b295 + 2652*
    b275*b296 + 1972*b275*b298 + 1870*b275*b299 + 646*b275*b300 + 2890*b275*
    b301 + 1768*b275*b302 + 1156*b275*b303 + 1360*b275*b304 + 2346*b275*b305 + 
    408*b275*b306 + 2890*b275*b307 + 2448*b275*b308 + 238*b275*b309 + 1666*b275
    *b310 + 6496*b275*b311 + 8932*b275*b312 + 2320*b275*b313 + 9628*b275*b314
     + 3364*b275*b315 + 6960*b275*b316 + 6612*b275*b317 + 9048*b275*b318 + 6728
    *b275*b320 + 6380*b275*b321 + 2204*b275*b322 + 9860*b275*b323 + 6032*b275*
    b324 + 3944*b275*b325 + 4640*b275*b326 + 8004*b275*b327 + 1392*b275*b328 + 
    9860*b275*b329 + 8352*b275*b330 + 812*b275*b331 + 5684*b275*b332 + 11088*
    b275*b333 + 15246*b275*b334 + 3960*b275*b335 + 16434*b275*b336 + 5742*b275*
    b337 + 11880*b275*b338 + 11286*b275*b339 + 15444*b275*b340 + 11484*b275*
    b342 + 10890*b275*b343 + 3762*b275*b344 + 16830*b275*b345 + 10296*b275*b346
     + 6732*b275*b347 + 7920*b275*b348 + 13662*b275*b349 + 2376*b275*b350 + 
    16830*b275*b351 + 14256*b275*b352 + 1386*b275*b353 + 9702*b275*b354 + 10080
    *b275*b355 + 13860*b275*b356 + 3600*b275*b357 + 14940*b275*b358 + 5220*b275
    *b359 + 10800*b275*b360 + 10260*b275*b361 + 14040*b275*b362 + 10440*b275*
    b364 + 9900*b275*b365 + 3420*b275*b366 + 15300*b275*b367 + 9360*b275*b368
     + 6120*b275*b369 + 7200*b275*b370 + 12420*b275*b371 + 2160*b275*b372 + 
    15300*b275*b373 + 12960*b275*b374 + 1260*b275*b375 + 8820*b275*b376 + 7840*
    b275*b377 + 10780*b275*b378 + 2800*b275*b379 + 11620*b275*b380 + 4060*b275*
    b381 + 8400*b275*b382 + 7980*b275*b383 + 10920*b275*b384 + 8120*b275*b386
     + 7700*b275*b387 + 2660*b275*b388 + 11900*b275*b389 + 7280*b275*b390 + 
    4760*b275*b391 + 5600*b275*b392 + 9660*b275*b393 + 1680*b275*b394 + 11900*
    b275*b395 + 10080*b275*b396 + 980*b275*b397 + 6860*b275*b398 + 1904*b275*
    b399 + 2618*b275*b400 + 680*b275*b401 + 2822*b275*b402 + 986*b275*b403 + 
    2040*b275*b404 + 1938*b275*b405 + 2652*b275*b406 + 1972*b275*b408 + 1870*
    b275*b409 + 646*b275*b410 + 2890*b275*b411 + 1768*b275*b412 + 1156*b275*
    b413 + 1360*b275*b414 + 2346*b275*b415 + 408*b275*b416 + 2890*b275*b417 + 
    2448*b275*b418 + 238*b275*b419 + 1666*b275*b420 + 6384*b275*b421 + 8778*
    b275*b422 + 2280*b275*b423 + 9462*b275*b424 + 3306*b275*b425 + 6840*b275*
    b426 + 6498*b275*b427 + 8892*b275*b428 + 6612*b275*b430 + 6270*b275*b431 + 
    2166*b275*b432 + 9690*b275*b433 + 5928*b275*b434 + 3876*b275*b435 + 4560*
    b275*b436 + 7866*b275*b437 + 1368*b275*b438 + 9690*b275*b439 + 8208*b275*
    b440 + 798*b275*b441 + 5586*b275*b442 + 4144*b275*b443 + 5698*b275*b444 + 
    1480*b275*b445 + 6142*b275*b446 + 2146*b275*b447 + 4440*b275*b448 + 4218*
    b275*b449 + 5772*b275*b450 + 4292*b275*b452 + 4070*b275*b453 + 1406*b275*
    b454 + 6290*b275*b455 + 3848*b275*b456 + 2516*b275*b457 + 2960*b275*b458 + 
    5106*b275*b459 + 888*b275*b460 + 6290*b275*b461 + 5328*b275*b462 + 518*b275
    *b463 + 3626*b275*b464 + 224*b275*b465 + 308*b275*b466 + 80*b275*b467 + 332
    *b275*b468 + 116*b275*b469 + 240*b275*b470 + 228*b275*b471 + 312*b275*b472
     + 232*b275*b474 + 220*b275*b475 + 76*b275*b476 + 340*b275*b477 + 208*b275*
    b478 + 136*b275*b479 + 160*b275*b480 + 276*b275*b481 + 48*b275*b482 + 340*
    b275*b483 + 288*b275*b484 + 28*b275*b485 + 196*b275*b486 + 4144*b275*b487
     + 5698*b275*b488 + 1480*b275*b489 + 6142*b275*b490 + 2146*b275*b491 + 4440
    *b275*b492 + 4218*b275*b493 + 5772*b275*b494 + 4292*b275*b496 + 4070*b275*
    b497 + 1406*b275*b498 + 6290*b275*b499 + 3848*b275*b500 + 2516*b275*b501 + 
    2960*b275*b502 + 5106*b275*b503 + 888*b275*b504 + 6290*b275*b505 + 5328*
    b275*b506 + 518*b275*b507 + 3626*b275*b508 + 336*b275*b509 + 462*b275*b510
     + 120*b275*b511 + 498*b275*b512 + 174*b275*b513 + 360*b275*b514 + 342*b275
    *b515 + 468*b275*b516 + 348*b275*b518 + 330*b275*b519 + 114*b275*b520 + 510
    *b275*b521 + 312*b275*b522 + 204*b275*b523 + 240*b275*b524 + 414*b275*b525
     + 72*b275*b526 + 510*b275*b527 + 432*b275*b528 + 42*b275*b529 + 294*b275*
    b530 + 640*b275*b531 + 8480*b275*b532 + 7360*b275*b533 + 736*b275*b534 + 
    9752*b275*b535 + 8464*b275*b536 + 464*b275*b537 + 6148*b275*b538 + 5336*
    b275*b539 + 360*b275*b540 + 4770*b275*b541 + 4140*b275*b542 + 216*b275*b543
     + 2862*b275*b544 + 2484*b275*b545 + 688*b275*b546 + 9116*b275*b547 + 7912*
    b275*b548 + 776*b275*b549 + 10282*b275*b550 + 8924*b275*b551 + 360*b275*
    b552 + 4770*b275*b553 + 4140*b275*b554 + 176*b275*b555 + 2332*b275*b556 + 
    2024*b275*b557 + 632*b275*b558 + 8374*b275*b559 + 7268*b275*b560 + 192*b275
    *b561 + 2544*b275*b562 + 2208*b275*b563 + 136*b275*b567 + 1802*b275*b568 + 
    1564*b275*b569 + 464*b275*b570 + 6148*b275*b571 + 5336*b275*b572 + 792*b275
    *b573 + 10494*b275*b574 + 9108*b275*b575 + 720*b275*b576 + 9540*b275*b577
     + 8280*b275*b578 + 560*b275*b579 + 7420*b275*b580 + 6440*b275*b581 + 136*
    b275*b582 + 1802*b275*b583 + 1564*b275*b584 + 456*b275*b585 + 6042*b275*
    b586 + 5244*b275*b587 + 296*b275*b588 + 3922*b275*b589 + 3404*b275*b590 + 
    16*b275*b591 + 212*b275*b592 + 184*b275*b593 + 296*b275*b594 + 3922*b275*
    b595 + 3404*b275*b596 + 24*b275*b597 + 318*b275*b598 + 276*b275*b599 + 2156
    *b275*b600 + 560*b275*b601 + 2324*b275*b602 + 812*b275*b603 + 1680*b275*
    b604 + 1596*b275*b605 + 2184*b275*b606 + 1624*b275*b608 + 1540*b275*b609 + 
    532*b275*b610 + 2380*b275*b611 + 1456*b275*b612 + 952*b275*b613 + 1484*b275
    *b614 + 1120*b275*b615 + 1932*b275*b616 + 336*b275*b617 + 2380*b275*b618 + 
    2016*b275*b619 + 196*b275*b620 + 1372*b275*b621 + 1288*b275*b622 + 1568*
    b275*b623 + 744*b275*b624 + 9858*b275*b625 + 8556*b275*b626 + 2924*b276*
    b289 + 2516*b276*b290 + 714*b276*b291 + 3264*b276*b292 + 374*b276*b293 + 
    2448*b276*b294 + 2142*b276*b295 + 3094*b276*b296 + 1972*b276*b297 + 2958*
    b276*b299 + 1972*b276*b300 + 578*b276*b301 + 2312*b276*b302 + 918*b276*b303
     + 204*b276*b304 + 2278*b276*b305 + 884*b276*b306 + 2788*b276*b307 + 1496*
    b276*b308 + 1190*b276*b309 + 102*b276*b310 + 9976*b276*b311 + 8584*b276*
    b312 + 2436*b276*b313 + 11136*b276*b314 + 1276*b276*b315 + 8352*b276*b316
     + 7308*b276*b317 + 10556*b276*b318 + 6728*b276*b319 + 10092*b276*b321 + 
    6728*b276*b322 + 1972*b276*b323 + 7888*b276*b324 + 3132*b276*b325 + 696*
    b276*b326 + 7772*b276*b327 + 3016*b276*b328 + 9512*b276*b329 + 5104*b276*
    b330 + 4060*b276*b331 + 348*b276*b332 + 17028*b276*b333 + 14652*b276*b334
     + 4158*b276*b335 + 19008*b276*b336 + 2178*b276*b337 + 14256*b276*b338 + 
    12474*b276*b339 + 18018*b276*b340 + 11484*b276*b341 + 17226*b276*b343 + 
    11484*b276*b344 + 3366*b276*b345 + 13464*b276*b346 + 5346*b276*b347 + 1188*
    b276*b348 + 13266*b276*b349 + 5148*b276*b350 + 16236*b276*b351 + 8712*b276*
    b352 + 6930*b276*b353 + 594*b276*b354 + 15480*b276*b355 + 13320*b276*b356
     + 3780*b276*b357 + 17280*b276*b358 + 1980*b276*b359 + 12960*b276*b360 + 
    11340*b276*b361 + 16380*b276*b362 + 10440*b276*b363 + 15660*b276*b365 + 
    10440*b276*b366 + 3060*b276*b367 + 12240*b276*b368 + 4860*b276*b369 + 1080*
    b276*b370 + 12060*b276*b371 + 4680*b276*b372 + 14760*b276*b373 + 7920*b276*
    b374 + 6300*b276*b375 + 540*b276*b376 + 12040*b276*b377 + 10360*b276*b378
     + 2940*b276*b379 + 13440*b276*b380 + 1540*b276*b381 + 10080*b276*b382 + 
    8820*b276*b383 + 12740*b276*b384 + 8120*b276*b385 + 12180*b276*b387 + 8120*
    b276*b388 + 2380*b276*b389 + 9520*b276*b390 + 3780*b276*b391 + 840*b276*
    b392 + 9380*b276*b393 + 3640*b276*b394 + 11480*b276*b395 + 6160*b276*b396
     + 4900*b276*b397 + 420*b276*b398 + 2924*b276*b399 + 2516*b276*b400 + 714*
    b276*b401 + 3264*b276*b402 + 374*b276*b403 + 2448*b276*b404 + 2142*b276*
    b405 + 3094*b276*b406 + 1972*b276*b407 + 2958*b276*b409 + 1972*b276*b410 + 
    578*b276*b411 + 2312*b276*b412 + 918*b276*b413 + 204*b276*b414 + 2278*b276*
    b415 + 884*b276*b416 + 2788*b276*b417 + 1496*b276*b418 + 1190*b276*b419 + 
    102*b276*b420 + 9804*b276*b421 + 8436*b276*b422 + 2394*b276*b423 + 10944*
    b276*b424 + 1254*b276*b425 + 8208*b276*b426 + 7182*b276*b427 + 10374*b276*
    b428 + 6612*b276*b429 + 9918*b276*b431 + 6612*b276*b432 + 1938*b276*b433 + 
    7752*b276*b434 + 3078*b276*b435 + 684*b276*b436 + 7638*b276*b437 + 2964*
    b276*b438 + 9348*b276*b439 + 5016*b276*b440 + 3990*b276*b441 + 342*b276*
    b442 + 6364*b276*b443 + 5476*b276*b444 + 1554*b276*b445 + 7104*b276*b446 + 
    814*b276*b447 + 5328*b276*b448 + 4662*b276*b449 + 6734*b276*b450 + 4292*
    b276*b451 + 6438*b276*b453 + 4292*b276*b454 + 1258*b276*b455 + 5032*b276*
    b456 + 1998*b276*b457 + 444*b276*b458 + 4958*b276*b459 + 1924*b276*b460 + 
    6068*b276*b461 + 3256*b276*b462 + 2590*b276*b463 + 222*b276*b464 + 344*b276
    *b465 + 296*b276*b466 + 84*b276*b467 + 384*b276*b468 + 44*b276*b469 + 288*
    b276*b470 + 252*b276*b471 + 364*b276*b472 + 232*b276*b473 + 348*b276*b475
     + 232*b276*b476 + 68*b276*b477 + 272*b276*b478 + 108*b276*b479 + 24*b276*
    b480 + 268*b276*b481 + 104*b276*b482 + 328*b276*b483 + 176*b276*b484 + 140*
    b276*b485 + 12*b276*b486 + 6364*b276*b487 + 5476*b276*b488 + 1554*b276*b489
     + 7104*b276*b490 + 814*b276*b491 + 5328*b276*b492 + 4662*b276*b493 + 6734*
    b276*b494 + 4292*b276*b495 + 6438*b276*b497 + 4292*b276*b498 + 1258*b276*
    b499 + 5032*b276*b500 + 1998*b276*b501 + 444*b276*b502 + 4958*b276*b503 + 
    1924*b276*b504 + 6068*b276*b505 + 3256*b276*b506 + 2590*b276*b507 + 222*
    b276*b508 + 516*b276*b509 + 444*b276*b510 + 126*b276*b511 + 576*b276*b512
     + 66*b276*b513 + 432*b276*b514 + 378*b276*b515 + 546*b276*b516 + 348*b276*
    b517 + 522*b276*b519 + 348*b276*b520 + 102*b276*b521 + 408*b276*b522 + 162*
    b276*b523 + 36*b276*b524 + 402*b276*b525 + 156*b276*b526 + 492*b276*b527 + 
    264*b276*b528 + 210*b276*b529 + 18*b276*b530 + 10080*b276*b531 + 3360*b276*
    b532 + 9920*b276*b533 + 11592*b276*b534 + 3864*b276*b535 + 11408*b276*b536
     + 7308*b276*b537 + 2436*b276*b538 + 7192*b276*b539 + 5670*b276*b540 + 1890
    *b276*b541 + 5580*b276*b542 + 3402*b276*b543 + 1134*b276*b544 + 3348*b276*
    b545 + 10836*b276*b546 + 3612*b276*b547 + 10664*b276*b548 + 12222*b276*b549
     + 4074*b276*b550 + 12028*b276*b551 + 5670*b276*b552 + 1890*b276*b553 + 
    5580*b276*b554 + 2772*b276*b555 + 924*b276*b556 + 2728*b276*b557 + 9954*
    b276*b558 + 3318*b276*b559 + 9796*b276*b560 + 3024*b276*b561 + 1008*b276*
    b562 + 2976*b276*b563 + 2142*b276*b567 + 714*b276*b568 + 2108*b276*b569 + 
    7308*b276*b570 + 2436*b276*b571 + 7192*b276*b572 + 12474*b276*b573 + 4158*
    b276*b574 + 12276*b276*b575 + 11340*b276*b576 + 3780*b276*b577 + 11160*b276
    *b578 + 8820*b276*b579 + 2940*b276*b580 + 8680*b276*b581 + 2142*b276*b582
     + 714*b276*b583 + 2108*b276*b584 + 7182*b276*b585 + 2394*b276*b586 + 7068*
    b276*b587 + 4662*b276*b588 + 1554*b276*b589 + 4588*b276*b590 + 252*b276*
    b591 + 84*b276*b592 + 248*b276*b593 + 4662*b276*b594 + 1554*b276*b595 + 
    4588*b276*b596 + 378*b276*b597 + 126*b276*b598 + 372*b276*b599 + 2072*b276*
    b600 + 588*b276*b601 + 2688*b276*b602 + 308*b276*b603 + 2016*b276*b604 + 
    1764*b276*b605 + 2548*b276*b606 + 1624*b276*b607 + 2436*b276*b609 + 1624*
    b276*b610 + 476*b276*b611 + 1904*b276*b612 + 756*b276*b613 + 588*b276*b614
     + 168*b276*b615 + 1876*b276*b616 + 728*b276*b617 + 2296*b276*b618 + 1232*
    b276*b619 + 980*b276*b620 + 84*b276*b621 + 1736*b276*b622 + 2408*b276*b623
     + 11718*b276*b624 + 3906*b276*b625 + 11532*b276*b626 + 1530*b277*b289 + 
    1020*b277*b290 + 2074*b277*b291 + 2516*b277*b292 + 2618*b277*b293 + 2516*
    b277*b294 + 204*b277*b295 + 442*b277*b296 + 1870*b277*b297 + 2958*b277*b298
     + 272*b277*b300 + 1734*b277*b301 + 34*b277*b302 + 3094*b277*b303 + 2958*
    b277*b304 + 2448*b277*b305 + 1530*b277*b306 + 3264*b277*b307 + 238*b277*
    b308 + 2958*b277*b309 + 2312*b277*b310 + 5220*b277*b311 + 3480*b277*b312 + 
    7076*b277*b313 + 8584*b277*b314 + 8932*b277*b315 + 8584*b277*b316 + 696*
    b277*b317 + 1508*b277*b318 + 6380*b277*b319 + 10092*b277*b320 + 928*b277*
    b322 + 5916*b277*b323 + 116*b277*b324 + 10556*b277*b325 + 10092*b277*b326
     + 8352*b277*b327 + 5220*b277*b328 + 11136*b277*b329 + 812*b277*b330 + 
    10092*b277*b331 + 7888*b277*b332 + 8910*b277*b333 + 5940*b277*b334 + 12078*
    b277*b335 + 14652*b277*b336 + 15246*b277*b337 + 14652*b277*b338 + 1188*b277
    *b339 + 2574*b277*b340 + 10890*b277*b341 + 17226*b277*b342 + 1584*b277*b344
     + 10098*b277*b345 + 198*b277*b346 + 18018*b277*b347 + 17226*b277*b348 + 
    14256*b277*b349 + 8910*b277*b350 + 19008*b277*b351 + 1386*b277*b352 + 17226
    *b277*b353 + 13464*b277*b354 + 8100*b277*b355 + 5400*b277*b356 + 10980*b277
    *b357 + 13320*b277*b358 + 13860*b277*b359 + 13320*b277*b360 + 1080*b277*
    b361 + 2340*b277*b362 + 9900*b277*b363 + 15660*b277*b364 + 1440*b277*b366
     + 9180*b277*b367 + 180*b277*b368 + 16380*b277*b369 + 15660*b277*b370 + 
    12960*b277*b371 + 8100*b277*b372 + 17280*b277*b373 + 1260*b277*b374 + 15660
    *b277*b375 + 12240*b277*b376 + 6300*b277*b377 + 4200*b277*b378 + 8540*b277*
    b379 + 10360*b277*b380 + 10780*b277*b381 + 10360*b277*b382 + 840*b277*b383
     + 1820*b277*b384 + 7700*b277*b385 + 12180*b277*b386 + 1120*b277*b388 + 
    7140*b277*b389 + 140*b277*b390 + 12740*b277*b391 + 12180*b277*b392 + 10080*
    b277*b393 + 6300*b277*b394 + 13440*b277*b395 + 980*b277*b396 + 12180*b277*
    b397 + 9520*b277*b398 + 1530*b277*b399 + 1020*b277*b400 + 2074*b277*b401 + 
    2516*b277*b402 + 2618*b277*b403 + 2516*b277*b404 + 204*b277*b405 + 442*b277
    *b406 + 1870*b277*b407 + 2958*b277*b408 + 272*b277*b410 + 1734*b277*b411 + 
    34*b277*b412 + 3094*b277*b413 + 2958*b277*b414 + 2448*b277*b415 + 1530*b277
    *b416 + 3264*b277*b417 + 238*b277*b418 + 2958*b277*b419 + 2312*b277*b420 + 
    5130*b277*b421 + 3420*b277*b422 + 6954*b277*b423 + 8436*b277*b424 + 8778*
    b277*b425 + 8436*b277*b426 + 684*b277*b427 + 1482*b277*b428 + 6270*b277*
    b429 + 9918*b277*b430 + 912*b277*b432 + 5814*b277*b433 + 114*b277*b434 + 
    10374*b277*b435 + 9918*b277*b436 + 8208*b277*b437 + 5130*b277*b438 + 10944*
    b277*b439 + 798*b277*b440 + 9918*b277*b441 + 7752*b277*b442 + 3330*b277*
    b443 + 2220*b277*b444 + 4514*b277*b445 + 5476*b277*b446 + 5698*b277*b447 + 
    5476*b277*b448 + 444*b277*b449 + 962*b277*b450 + 4070*b277*b451 + 6438*b277
    *b452 + 592*b277*b454 + 3774*b277*b455 + 74*b277*b456 + 6734*b277*b457 + 
    6438*b277*b458 + 5328*b277*b459 + 3330*b277*b460 + 7104*b277*b461 + 518*
    b277*b462 + 6438*b277*b463 + 5032*b277*b464 + 180*b277*b465 + 120*b277*b466
     + 244*b277*b467 + 296*b277*b468 + 308*b277*b469 + 296*b277*b470 + 24*b277*
    b471 + 52*b277*b472 + 220*b277*b473 + 348*b277*b474 + 32*b277*b476 + 204*
    b277*b477 + 4*b277*b478 + 364*b277*b479 + 348*b277*b480 + 288*b277*b481 + 
    180*b277*b482 + 384*b277*b483 + 28*b277*b484 + 348*b277*b485 + 272*b277*
    b486 + 3330*b277*b487 + 2220*b277*b488 + 4514*b277*b489 + 5476*b277*b490 + 
    5698*b277*b491 + 5476*b277*b492 + 444*b277*b493 + 962*b277*b494 + 4070*b277
    *b495 + 6438*b277*b496 + 592*b277*b498 + 3774*b277*b499 + 74*b277*b500 + 
    6734*b277*b501 + 6438*b277*b502 + 5328*b277*b503 + 3330*b277*b504 + 7104*
    b277*b505 + 518*b277*b506 + 6438*b277*b507 + 5032*b277*b508 + 270*b277*b509
     + 180*b277*b510 + 366*b277*b511 + 444*b277*b512 + 462*b277*b513 + 444*b277
    *b514 + 36*b277*b515 + 78*b277*b516 + 330*b277*b517 + 522*b277*b518 + 48*
    b277*b520 + 306*b277*b521 + 6*b277*b522 + 546*b277*b523 + 522*b277*b524 + 
    432*b277*b525 + 270*b277*b526 + 576*b277*b527 + 42*b277*b528 + 522*b277*
    b529 + 408*b277*b530 + 960*b277*b531 + 6240*b277*b532 + 5280*b277*b533 + 
    1104*b277*b534 + 7176*b277*b535 + 6072*b277*b536 + 696*b277*b537 + 4524*
    b277*b538 + 3828*b277*b539 + 540*b277*b540 + 3510*b277*b541 + 2970*b277*
    b542 + 324*b277*b543 + 2106*b277*b544 + 1782*b277*b545 + 1032*b277*b546 + 
    6708*b277*b547 + 5676*b277*b548 + 1164*b277*b549 + 7566*b277*b550 + 6402*
    b277*b551 + 540*b277*b552 + 3510*b277*b553 + 2970*b277*b554 + 264*b277*b555
     + 1716*b277*b556 + 1452*b277*b557 + 948*b277*b558 + 6162*b277*b559 + 5214*
    b277*b560 + 288*b277*b561 + 1872*b277*b562 + 1584*b277*b563 + 204*b277*b567
     + 1326*b277*b568 + 1122*b277*b569 + 696*b277*b570 + 4524*b277*b571 + 3828*
    b277*b572 + 1188*b277*b573 + 7722*b277*b574 + 6534*b277*b575 + 1080*b277*
    b576 + 7020*b277*b577 + 5940*b277*b578 + 840*b277*b579 + 5460*b277*b580 + 
    4620*b277*b581 + 204*b277*b582 + 1326*b277*b583 + 1122*b277*b584 + 684*b277
    *b585 + 4446*b277*b586 + 3762*b277*b587 + 444*b277*b588 + 2886*b277*b589 + 
    2442*b277*b590 + 24*b277*b591 + 156*b277*b592 + 132*b277*b593 + 444*b277*
    b594 + 2886*b277*b595 + 2442*b277*b596 + 36*b277*b597 + 234*b277*b598 + 198
    *b277*b599 + 840*b277*b600 + 1708*b277*b601 + 2072*b277*b602 + 2156*b277*
    b603 + 2072*b277*b604 + 168*b277*b605 + 364*b277*b606 + 1540*b277*b607 + 
    2436*b277*b608 + 224*b277*b610 + 1428*b277*b611 + 28*b277*b612 + 2548*b277*
    b613 + 1092*b277*b614 + 2436*b277*b615 + 2016*b277*b616 + 1260*b277*b617 + 
    2688*b277*b618 + 196*b277*b619 + 2436*b277*b620 + 1904*b277*b621 + 924*b277
    *b622 + 1260*b277*b623 + 1116*b277*b624 + 7254*b277*b625 + 6138*b277*b626
     + 3094*b278*b289 + 3026*b278*b290 + 2720*b278*b291 + 1530*b278*b292 + 1088
    *b278*b293 + 1564*b278*b294 + 2006*b278*b296 + 646*b278*b297 + 1972*b278*
    b298 + 272*b278*b299 + 102*b278*b301 + 714*b278*b302 + 3060*b278*b303 + 
    1598*b278*b304 + 850*b278*b305 + 1020*b278*b306 + 1462*b278*b307 + 3298*
    b278*b308 + 1122*b278*b309 + 1190*b278*b310 + 10556*b278*b311 + 10324*b278*
    b312 + 9280*b278*b313 + 5220*b278*b314 + 3712*b278*b315 + 5336*b278*b316 + 
    6844*b278*b318 + 2204*b278*b319 + 6728*b278*b320 + 928*b278*b321 + 348*b278
    *b323 + 2436*b278*b324 + 10440*b278*b325 + 5452*b278*b326 + 2900*b278*b327
     + 3480*b278*b328 + 4988*b278*b329 + 11252*b278*b330 + 3828*b278*b331 + 
    4060*b278*b332 + 18018*b278*b333 + 17622*b278*b334 + 15840*b278*b335 + 8910
    *b278*b336 + 6336*b278*b337 + 9108*b278*b338 + 11682*b278*b340 + 3762*b278*
    b341 + 11484*b278*b342 + 1584*b278*b343 + 594*b278*b345 + 4158*b278*b346 + 
    17820*b278*b347 + 9306*b278*b348 + 4950*b278*b349 + 5940*b278*b350 + 8514*
    b278*b351 + 19206*b278*b352 + 6534*b278*b353 + 6930*b278*b354 + 16380*b278*
    b355 + 16020*b278*b356 + 14400*b278*b357 + 8100*b278*b358 + 5760*b278*b359
     + 8280*b278*b360 + 10620*b278*b362 + 3420*b278*b363 + 10440*b278*b364 + 
    1440*b278*b365 + 540*b278*b367 + 3780*b278*b368 + 16200*b278*b369 + 8460*
    b278*b370 + 4500*b278*b371 + 5400*b278*b372 + 7740*b278*b373 + 17460*b278*
    b374 + 5940*b278*b375 + 6300*b278*b376 + 12740*b278*b377 + 12460*b278*b378
     + 11200*b278*b379 + 6300*b278*b380 + 4480*b278*b381 + 6440*b278*b382 + 
    8260*b278*b384 + 2660*b278*b385 + 8120*b278*b386 + 1120*b278*b387 + 420*
    b278*b389 + 2940*b278*b390 + 12600*b278*b391 + 6580*b278*b392 + 3500*b278*
    b393 + 4200*b278*b394 + 6020*b278*b395 + 13580*b278*b396 + 4620*b278*b397
     + 4900*b278*b398 + 3094*b278*b399 + 3026*b278*b400 + 2720*b278*b401 + 1530
    *b278*b402 + 1088*b278*b403 + 1564*b278*b404 + 2006*b278*b406 + 646*b278*
    b407 + 1972*b278*b408 + 272*b278*b409 + 102*b278*b411 + 714*b278*b412 + 
    3060*b278*b413 + 1598*b278*b414 + 850*b278*b415 + 1020*b278*b416 + 1462*
    b278*b417 + 3298*b278*b418 + 1122*b278*b419 + 1190*b278*b420 + 10374*b278*
    b421 + 10146*b278*b422 + 9120*b278*b423 + 5130*b278*b424 + 3648*b278*b425
     + 5244*b278*b426 + 6726*b278*b428 + 2166*b278*b429 + 6612*b278*b430 + 912*
    b278*b431 + 342*b278*b433 + 2394*b278*b434 + 10260*b278*b435 + 5358*b278*
    b436 + 2850*b278*b437 + 3420*b278*b438 + 4902*b278*b439 + 11058*b278*b440
     + 3762*b278*b441 + 3990*b278*b442 + 6734*b278*b443 + 6586*b278*b444 + 5920
    *b278*b445 + 3330*b278*b446 + 2368*b278*b447 + 3404*b278*b448 + 4366*b278*
    b450 + 1406*b278*b451 + 4292*b278*b452 + 592*b278*b453 + 222*b278*b455 + 
    1554*b278*b456 + 6660*b278*b457 + 3478*b278*b458 + 1850*b278*b459 + 2220*
    b278*b460 + 3182*b278*b461 + 7178*b278*b462 + 2442*b278*b463 + 2590*b278*
    b464 + 364*b278*b465 + 356*b278*b466 + 320*b278*b467 + 180*b278*b468 + 128*
    b278*b469 + 184*b278*b470 + 236*b278*b472 + 76*b278*b473 + 232*b278*b474 + 
    32*b278*b475 + 12*b278*b477 + 84*b278*b478 + 360*b278*b479 + 188*b278*b480
     + 100*b278*b481 + 120*b278*b482 + 172*b278*b483 + 388*b278*b484 + 132*b278
    *b485 + 140*b278*b486 + 6734*b278*b487 + 6586*b278*b488 + 5920*b278*b489 + 
    3330*b278*b490 + 2368*b278*b491 + 3404*b278*b492 + 4366*b278*b494 + 1406*
    b278*b495 + 4292*b278*b496 + 592*b278*b497 + 222*b278*b499 + 1554*b278*b500
     + 6660*b278*b501 + 3478*b278*b502 + 1850*b278*b503 + 2220*b278*b504 + 3182
    *b278*b505 + 7178*b278*b506 + 2442*b278*b507 + 2590*b278*b508 + 546*b278*
    b509 + 534*b278*b510 + 480*b278*b511 + 270*b278*b512 + 192*b278*b513 + 276*
    b278*b514 + 354*b278*b516 + 114*b278*b517 + 348*b278*b518 + 48*b278*b519 + 
    18*b278*b521 + 126*b278*b522 + 540*b278*b523 + 282*b278*b524 + 150*b278*
    b525 + 180*b278*b526 + 258*b278*b527 + 582*b278*b528 + 198*b278*b529 + 210*
    b278*b530 + 7040*b278*b531 + 7200*b278*b532 + 9760*b278*b533 + 8096*b278*
    b534 + 8280*b278*b535 + 11224*b278*b536 + 5104*b278*b537 + 5220*b278*b538
     + 7076*b278*b539 + 3960*b278*b540 + 4050*b278*b541 + 5490*b278*b542 + 2376
    *b278*b543 + 2430*b278*b544 + 3294*b278*b545 + 7568*b278*b546 + 7740*b278*
    b547 + 10492*b278*b548 + 8536*b278*b549 + 8730*b278*b550 + 11834*b278*b551
     + 3960*b278*b552 + 4050*b278*b553 + 5490*b278*b554 + 1936*b278*b555 + 1980
    *b278*b556 + 2684*b278*b557 + 6952*b278*b558 + 7110*b278*b559 + 9638*b278*
    b560 + 2112*b278*b561 + 2160*b278*b562 + 2928*b278*b563 + 1496*b278*b567 + 
    1530*b278*b568 + 2074*b278*b569 + 5104*b278*b570 + 5220*b278*b571 + 7076*
    b278*b572 + 8712*b278*b573 + 8910*b278*b574 + 12078*b278*b575 + 7920*b278*
    b576 + 8100*b278*b577 + 10980*b278*b578 + 6160*b278*b579 + 6300*b278*b580
     + 8540*b278*b581 + 1496*b278*b582 + 1530*b278*b583 + 2074*b278*b584 + 5016
    *b278*b585 + 5130*b278*b586 + 6954*b278*b587 + 3256*b278*b588 + 3330*b278*
    b589 + 4514*b278*b590 + 176*b278*b591 + 180*b278*b592 + 244*b278*b593 + 
    3256*b278*b594 + 3330*b278*b595 + 4514*b278*b596 + 264*b278*b597 + 270*b278
    *b598 + 366*b278*b599 + 2492*b278*b600 + 2240*b278*b601 + 1260*b278*b602 + 
    896*b278*b603 + 1288*b278*b604 + 1652*b278*b606 + 532*b278*b607 + 1624*b278
    *b608 + 224*b278*b609 + 84*b278*b611 + 588*b278*b612 + 2520*b278*b613 + 
    1260*b278*b614 + 1316*b278*b615 + 700*b278*b616 + 840*b278*b617 + 1204*b278
    *b618 + 2716*b278*b619 + 924*b278*b620 + 980*b278*b621 + 1708*b278*b622 + 
    2548*b278*b623 + 8184*b278*b624 + 8370*b278*b625 + 11346*b278*b626 + 2006*
    b279*b289 + 2584*b279*b290 + 1972*b279*b291 + 2210*b279*b292 + 2958*b279*
    b293 + 442*b279*b294 + 2108*b279*b295 + 1666*b279*b296 + 2890*b279*b297 + 
    578*b279*b298 + 1734*b279*b299 + 102*b279*b300 + 1428*b279*b302 + 1224*b279
    *b303 + 238*b279*b304 + 2856*b279*b305 + 204*b279*b306 + 1632*b279*b309 + 
    2108*b279*b310 + 6844*b279*b311 + 8816*b279*b312 + 6728*b279*b313 + 7540*
    b279*b314 + 10092*b279*b315 + 1508*b279*b316 + 7192*b279*b317 + 5684*b279*
    b318 + 9860*b279*b319 + 1972*b279*b320 + 5916*b279*b321 + 348*b279*b322 + 
    4872*b279*b324 + 4176*b279*b325 + 812*b279*b326 + 9744*b279*b327 + 696*b279
    *b328 + 5568*b279*b331 + 7192*b279*b332 + 11682*b279*b333 + 15048*b279*b334
     + 11484*b279*b335 + 12870*b279*b336 + 17226*b279*b337 + 2574*b279*b338 + 
    12276*b279*b339 + 9702*b279*b340 + 16830*b279*b341 + 3366*b279*b342 + 10098
    *b279*b343 + 594*b279*b344 + 8316*b279*b346 + 7128*b279*b347 + 1386*b279*
    b348 + 16632*b279*b349 + 1188*b279*b350 + 9504*b279*b353 + 12276*b279*b354
     + 10620*b279*b355 + 13680*b279*b356 + 10440*b279*b357 + 11700*b279*b358 + 
    15660*b279*b359 + 2340*b279*b360 + 11160*b279*b361 + 8820*b279*b362 + 15300
    *b279*b363 + 3060*b279*b364 + 9180*b279*b365 + 540*b279*b366 + 7560*b279*
    b368 + 6480*b279*b369 + 1260*b279*b370 + 15120*b279*b371 + 1080*b279*b372
     + 8640*b279*b375 + 11160*b279*b376 + 8260*b279*b377 + 10640*b279*b378 + 
    8120*b279*b379 + 9100*b279*b380 + 12180*b279*b381 + 1820*b279*b382 + 8680*
    b279*b383 + 6860*b279*b384 + 11900*b279*b385 + 2380*b279*b386 + 7140*b279*
    b387 + 420*b279*b388 + 5880*b279*b390 + 5040*b279*b391 + 980*b279*b392 + 
    11760*b279*b393 + 840*b279*b394 + 6720*b279*b397 + 8680*b279*b398 + 2006*
    b279*b399 + 2584*b279*b400 + 1972*b279*b401 + 2210*b279*b402 + 2958*b279*
    b403 + 442*b279*b404 + 2108*b279*b405 + 1666*b279*b406 + 2890*b279*b407 + 
    578*b279*b408 + 1734*b279*b409 + 102*b279*b410 + 1428*b279*b412 + 1224*b279
    *b413 + 238*b279*b414 + 2856*b279*b415 + 204*b279*b416 + 1632*b279*b419 + 
    2108*b279*b420 + 6726*b279*b421 + 8664*b279*b422 + 6612*b279*b423 + 7410*
    b279*b424 + 9918*b279*b425 + 1482*b279*b426 + 7068*b279*b427 + 5586*b279*
    b428 + 9690*b279*b429 + 1938*b279*b430 + 5814*b279*b431 + 342*b279*b432 + 
    4788*b279*b434 + 4104*b279*b435 + 798*b279*b436 + 9576*b279*b437 + 684*b279
    *b438 + 5472*b279*b441 + 7068*b279*b442 + 4366*b279*b443 + 5624*b279*b444
     + 4292*b279*b445 + 4810*b279*b446 + 6438*b279*b447 + 962*b279*b448 + 4588*
    b279*b449 + 3626*b279*b450 + 6290*b279*b451 + 1258*b279*b452 + 3774*b279*
    b453 + 222*b279*b454 + 3108*b279*b456 + 2664*b279*b457 + 518*b279*b458 + 
    6216*b279*b459 + 444*b279*b460 + 3552*b279*b463 + 4588*b279*b464 + 236*b279
    *b465 + 304*b279*b466 + 232*b279*b467 + 260*b279*b468 + 348*b279*b469 + 52*
    b279*b470 + 248*b279*b471 + 196*b279*b472 + 340*b279*b473 + 68*b279*b474 + 
    204*b279*b475 + 12*b279*b476 + 168*b279*b478 + 144*b279*b479 + 28*b279*b480
     + 336*b279*b481 + 24*b279*b482 + 192*b279*b485 + 248*b279*b486 + 4366*b279
    *b487 + 5624*b279*b488 + 4292*b279*b489 + 4810*b279*b490 + 6438*b279*b491
     + 962*b279*b492 + 4588*b279*b493 + 3626*b279*b494 + 6290*b279*b495 + 1258*
    b279*b496 + 3774*b279*b497 + 222*b279*b498 + 3108*b279*b500 + 2664*b279*
    b501 + 518*b279*b502 + 6216*b279*b503 + 444*b279*b504 + 3552*b279*b507 + 
    4588*b279*b508 + 354*b279*b509 + 456*b279*b510 + 348*b279*b511 + 390*b279*
    b512 + 522*b279*b513 + 78*b279*b514 + 372*b279*b515 + 294*b279*b516 + 510*
    b279*b517 + 102*b279*b518 + 306*b279*b519 + 18*b279*b520 + 252*b279*b522 + 
    216*b279*b523 + 42*b279*b524 + 504*b279*b525 + 36*b279*b526 + 288*b279*b529
     + 372*b279*b530 + 6400*b279*b531 + 6880*b279*b532 + 9440*b279*b533 + 7360*
    b279*b534 + 7912*b279*b535 + 10856*b279*b536 + 4640*b279*b537 + 4988*b279*
    b538 + 6844*b279*b539 + 3600*b279*b540 + 3870*b279*b541 + 5310*b279*b542 + 
    2160*b279*b543 + 2322*b279*b544 + 3186*b279*b545 + 6880*b279*b546 + 7396*
    b279*b547 + 10148*b279*b548 + 7760*b279*b549 + 8342*b279*b550 + 11446*b279*
    b551 + 3600*b279*b552 + 3870*b279*b553 + 5310*b279*b554 + 1760*b279*b555 + 
    1892*b279*b556 + 2596*b279*b557 + 6320*b279*b558 + 6794*b279*b559 + 9322*
    b279*b560 + 1920*b279*b561 + 2064*b279*b562 + 2832*b279*b563 + 1360*b279*
    b567 + 1462*b279*b568 + 2006*b279*b569 + 4640*b279*b570 + 4988*b279*b571 + 
    6844*b279*b572 + 7920*b279*b573 + 8514*b279*b574 + 11682*b279*b575 + 7200*
    b279*b576 + 7740*b279*b577 + 10620*b279*b578 + 5600*b279*b579 + 6020*b279*
    b580 + 8260*b279*b581 + 1360*b279*b582 + 1462*b279*b583 + 2006*b279*b584 + 
    4560*b279*b585 + 4902*b279*b586 + 6726*b279*b587 + 2960*b279*b588 + 3182*
    b279*b589 + 4366*b279*b590 + 160*b279*b591 + 172*b279*b592 + 236*b279*b593
     + 2960*b279*b594 + 3182*b279*b595 + 4366*b279*b596 + 240*b279*b597 + 258*
    b279*b598 + 354*b279*b599 + 2128*b279*b600 + 1624*b279*b601 + 1820*b279*
    b602 + 2436*b279*b603 + 364*b279*b604 + 1736*b279*b605 + 1372*b279*b606 + 
    2380*b279*b607 + 476*b279*b608 + 1428*b279*b609 + 84*b279*b610 + 1176*b279*
    b612 + 1008*b279*b613 + 1204*b279*b614 + 196*b279*b615 + 2352*b279*b616 + 
    168*b279*b617 + 1344*b279*b620 + 1736*b279*b621 + 1652*b279*b622 + 1652*
    b279*b623 + 7440*b279*b624 + 7998*b279*b625 + 10974*b279*b626 + 612*b280*
    b289 + 2584*b280*b290 + 714*b280*b291 + 1360*b280*b292 + 2278*b280*b293 + 
    680*b280*b294 + 1394*b280*b295 + 2890*b280*b296 + 1768*b280*b297 + 2312*
    b280*b298 + 34*b280*b299 + 714*b280*b300 + 1428*b280*b301 + 986*b280*b303
     + 2788*b280*b304 + 986*b280*b305 + 102*b280*b306 + 102*b280*b307 + 1734*
    b280*b308 + 2278*b280*b309 + 1326*b280*b310 + 2088*b280*b311 + 8816*b280*
    b312 + 2436*b280*b313 + 4640*b280*b314 + 7772*b280*b315 + 2320*b280*b316 + 
    4756*b280*b317 + 9860*b280*b318 + 6032*b280*b319 + 7888*b280*b320 + 116*
    b280*b321 + 2436*b280*b322 + 4872*b280*b323 + 3364*b280*b325 + 9512*b280*
    b326 + 3364*b280*b327 + 348*b280*b328 + 348*b280*b329 + 5916*b280*b330 + 
    7772*b280*b331 + 4524*b280*b332 + 3564*b280*b333 + 15048*b280*b334 + 4158*
    b280*b335 + 7920*b280*b336 + 13266*b280*b337 + 3960*b280*b338 + 8118*b280*
    b339 + 16830*b280*b340 + 10296*b280*b341 + 13464*b280*b342 + 198*b280*b343
     + 4158*b280*b344 + 8316*b280*b345 + 5742*b280*b347 + 16236*b280*b348 + 
    5742*b280*b349 + 594*b280*b350 + 594*b280*b351 + 10098*b280*b352 + 13266*
    b280*b353 + 7722*b280*b354 + 3240*b280*b355 + 13680*b280*b356 + 3780*b280*
    b357 + 7200*b280*b358 + 12060*b280*b359 + 3600*b280*b360 + 7380*b280*b361
     + 15300*b280*b362 + 9360*b280*b363 + 12240*b280*b364 + 180*b280*b365 + 
    3780*b280*b366 + 7560*b280*b367 + 5220*b280*b369 + 14760*b280*b370 + 5220*
    b280*b371 + 540*b280*b372 + 540*b280*b373 + 9180*b280*b374 + 12060*b280*
    b375 + 7020*b280*b376 + 2520*b280*b377 + 10640*b280*b378 + 2940*b280*b379
     + 5600*b280*b380 + 9380*b280*b381 + 2800*b280*b382 + 5740*b280*b383 + 
    11900*b280*b384 + 7280*b280*b385 + 9520*b280*b386 + 140*b280*b387 + 2940*
    b280*b388 + 5880*b280*b389 + 4060*b280*b391 + 11480*b280*b392 + 4060*b280*
    b393 + 420*b280*b394 + 420*b280*b395 + 7140*b280*b396 + 9380*b280*b397 + 
    5460*b280*b398 + 612*b280*b399 + 2584*b280*b400 + 714*b280*b401 + 1360*b280
    *b402 + 2278*b280*b403 + 680*b280*b404 + 1394*b280*b405 + 2890*b280*b406 + 
    1768*b280*b407 + 2312*b280*b408 + 34*b280*b409 + 714*b280*b410 + 1428*b280*
    b411 + 986*b280*b413 + 2788*b280*b414 + 986*b280*b415 + 102*b280*b416 + 102
    *b280*b417 + 1734*b280*b418 + 2278*b280*b419 + 1326*b280*b420 + 2052*b280*
    b421 + 8664*b280*b422 + 2394*b280*b423 + 4560*b280*b424 + 7638*b280*b425 + 
    2280*b280*b426 + 4674*b280*b427 + 9690*b280*b428 + 5928*b280*b429 + 7752*
    b280*b430 + 114*b280*b431 + 2394*b280*b432 + 4788*b280*b433 + 3306*b280*
    b435 + 9348*b280*b436 + 3306*b280*b437 + 342*b280*b438 + 342*b280*b439 + 
    5814*b280*b440 + 7638*b280*b441 + 4446*b280*b442 + 1332*b280*b443 + 5624*
    b280*b444 + 1554*b280*b445 + 2960*b280*b446 + 4958*b280*b447 + 1480*b280*
    b448 + 3034*b280*b449 + 6290*b280*b450 + 3848*b280*b451 + 5032*b280*b452 + 
    74*b280*b453 + 1554*b280*b454 + 3108*b280*b455 + 2146*b280*b457 + 6068*b280
    *b458 + 2146*b280*b459 + 222*b280*b460 + 222*b280*b461 + 3774*b280*b462 + 
    4958*b280*b463 + 2886*b280*b464 + 72*b280*b465 + 304*b280*b466 + 84*b280*
    b467 + 160*b280*b468 + 268*b280*b469 + 80*b280*b470 + 164*b280*b471 + 340*
    b280*b472 + 208*b280*b473 + 272*b280*b474 + 4*b280*b475 + 84*b280*b476 + 
    168*b280*b477 + 116*b280*b479 + 328*b280*b480 + 116*b280*b481 + 12*b280*
    b482 + 12*b280*b483 + 204*b280*b484 + 268*b280*b485 + 156*b280*b486 + 1332*
    b280*b487 + 5624*b280*b488 + 1554*b280*b489 + 2960*b280*b490 + 4958*b280*
    b491 + 1480*b280*b492 + 3034*b280*b493 + 6290*b280*b494 + 3848*b280*b495 + 
    5032*b280*b496 + 74*b280*b497 + 1554*b280*b498 + 3108*b280*b499 + 2146*b280
    *b501 + 6068*b280*b502 + 2146*b280*b503 + 222*b280*b504 + 222*b280*b505 + 
    3774*b280*b506 + 4958*b280*b507 + 2886*b280*b508 + 108*b280*b509 + 456*b280
    *b510 + 126*b280*b511 + 240*b280*b512 + 402*b280*b513 + 120*b280*b514 + 246
    *b280*b515 + 510*b280*b516 + 312*b280*b517 + 408*b280*b518 + 6*b280*b519 + 
    126*b280*b520 + 252*b280*b521 + 174*b280*b523 + 492*b280*b524 + 174*b280*
    b525 + 18*b280*b526 + 18*b280*b527 + 306*b280*b528 + 402*b280*b529 + 234*
    b280*b530 + 12000*b280*b531 + 15040*b280*b532 + 2400*b280*b533 + 13800*b280
    *b534 + 17296*b280*b535 + 2760*b280*b536 + 8700*b280*b537 + 10904*b280*b538
     + 1740*b280*b539 + 6750*b280*b540 + 8460*b280*b541 + 1350*b280*b542 + 4050
    *b280*b543 + 5076*b280*b544 + 810*b280*b545 + 12900*b280*b546 + 16168*b280*
    b547 + 2580*b280*b548 + 14550*b280*b549 + 18236*b280*b550 + 2910*b280*b551
     + 6750*b280*b552 + 8460*b280*b553 + 1350*b280*b554 + 3300*b280*b555 + 4136
    *b280*b556 + 660*b280*b557 + 11850*b280*b558 + 14852*b280*b559 + 2370*b280*
    b560 + 3600*b280*b561 + 4512*b280*b562 + 720*b280*b563 + 2550*b280*b567 + 
    3196*b280*b568 + 510*b280*b569 + 8700*b280*b570 + 10904*b280*b571 + 1740*
    b280*b572 + 14850*b280*b573 + 18612*b280*b574 + 2970*b280*b575 + 13500*b280
    *b576 + 16920*b280*b577 + 2700*b280*b578 + 10500*b280*b579 + 13160*b280*
    b580 + 2100*b280*b581 + 2550*b280*b582 + 3196*b280*b583 + 510*b280*b584 + 
    8550*b280*b585 + 10716*b280*b586 + 1710*b280*b587 + 5550*b280*b588 + 6956*
    b280*b589 + 1110*b280*b590 + 300*b280*b591 + 376*b280*b592 + 60*b280*b593
     + 5550*b280*b594 + 6956*b280*b595 + 1110*b280*b596 + 450*b280*b597 + 564*
    b280*b598 + 90*b280*b599 + 2128*b280*b600 + 588*b280*b601 + 1120*b280*b602
     + 1876*b280*b603 + 560*b280*b604 + 1148*b280*b605 + 2380*b280*b606 + 1456*
    b280*b607 + 1904*b280*b608 + 28*b280*b609 + 588*b280*b610 + 1176*b280*b611
     + 812*b280*b613 + 2632*b280*b614 + 2296*b280*b615 + 812*b280*b616 + 84*
    b280*b617 + 84*b280*b618 + 1428*b280*b619 + 1876*b280*b620 + 1092*b280*b621
     + 420*b280*b622 + 504*b280*b623 + 13950*b280*b624 + 17484*b280*b625 + 2790
    *b280*b626 + 2584*b281*b289 + 1360*b281*b290 + 2584*b281*b291 + 1836*b281*
    b292 + 3196*b281*b293 + 2924*b281*b294 + 2108*b281*b295 + 2856*b281*b296 + 
    1156*b281*b297 + 918*b281*b298 + 3094*b281*b299 + 3060*b281*b300 + 1224*
    b281*b301 + 986*b281*b302 + 1428*b281*b304 + 782*b281*b305 + 2108*b281*b306
     + 2108*b281*b307 + 952*b281*b308 + 2584*b281*b309 + 2244*b281*b310 + 8816*
    b281*b311 + 4640*b281*b312 + 8816*b281*b313 + 6264*b281*b314 + 10904*b281*
    b315 + 9976*b281*b316 + 7192*b281*b317 + 9744*b281*b318 + 3944*b281*b319 + 
    3132*b281*b320 + 10556*b281*b321 + 10440*b281*b322 + 4176*b281*b323 + 3364*
    b281*b324 + 4872*b281*b326 + 2668*b281*b327 + 7192*b281*b328 + 7192*b281*
    b329 + 3248*b281*b330 + 8816*b281*b331 + 7656*b281*b332 + 15048*b281*b333
     + 7920*b281*b334 + 15048*b281*b335 + 10692*b281*b336 + 18612*b281*b337 + 
    17028*b281*b338 + 12276*b281*b339 + 16632*b281*b340 + 6732*b281*b341 + 5346
    *b281*b342 + 18018*b281*b343 + 17820*b281*b344 + 7128*b281*b345 + 5742*b281
    *b346 + 8316*b281*b348 + 4554*b281*b349 + 12276*b281*b350 + 12276*b281*b351
     + 5544*b281*b352 + 15048*b281*b353 + 13068*b281*b354 + 13680*b281*b355 + 
    7200*b281*b356 + 13680*b281*b357 + 9720*b281*b358 + 16920*b281*b359 + 15480
    *b281*b360 + 11160*b281*b361 + 15120*b281*b362 + 6120*b281*b363 + 4860*b281
    *b364 + 16380*b281*b365 + 16200*b281*b366 + 6480*b281*b367 + 5220*b281*b368
     + 7560*b281*b370 + 4140*b281*b371 + 11160*b281*b372 + 11160*b281*b373 + 
    5040*b281*b374 + 13680*b281*b375 + 11880*b281*b376 + 10640*b281*b377 + 5600
    *b281*b378 + 10640*b281*b379 + 7560*b281*b380 + 13160*b281*b381 + 12040*
    b281*b382 + 8680*b281*b383 + 11760*b281*b384 + 4760*b281*b385 + 3780*b281*
    b386 + 12740*b281*b387 + 12600*b281*b388 + 5040*b281*b389 + 4060*b281*b390
     + 5880*b281*b392 + 3220*b281*b393 + 8680*b281*b394 + 8680*b281*b395 + 3920
    *b281*b396 + 10640*b281*b397 + 9240*b281*b398 + 2584*b281*b399 + 1360*b281*
    b400 + 2584*b281*b401 + 1836*b281*b402 + 3196*b281*b403 + 2924*b281*b404 + 
    2108*b281*b405 + 2856*b281*b406 + 1156*b281*b407 + 918*b281*b408 + 3094*
    b281*b409 + 3060*b281*b410 + 1224*b281*b411 + 986*b281*b412 + 1428*b281*
    b414 + 782*b281*b415 + 2108*b281*b416 + 2108*b281*b417 + 952*b281*b418 + 
    2584*b281*b419 + 2244*b281*b420 + 8664*b281*b421 + 4560*b281*b422 + 8664*
    b281*b423 + 6156*b281*b424 + 10716*b281*b425 + 9804*b281*b426 + 7068*b281*
    b427 + 9576*b281*b428 + 3876*b281*b429 + 3078*b281*b430 + 10374*b281*b431
     + 10260*b281*b432 + 4104*b281*b433 + 3306*b281*b434 + 4788*b281*b436 + 
    2622*b281*b437 + 7068*b281*b438 + 7068*b281*b439 + 3192*b281*b440 + 8664*
    b281*b441 + 7524*b281*b442 + 5624*b281*b443 + 2960*b281*b444 + 5624*b281*
    b445 + 3996*b281*b446 + 6956*b281*b447 + 6364*b281*b448 + 4588*b281*b449 + 
    6216*b281*b450 + 2516*b281*b451 + 1998*b281*b452 + 6734*b281*b453 + 6660*
    b281*b454 + 2664*b281*b455 + 2146*b281*b456 + 3108*b281*b458 + 1702*b281*
    b459 + 4588*b281*b460 + 4588*b281*b461 + 2072*b281*b462 + 5624*b281*b463 + 
    4884*b281*b464 + 304*b281*b465 + 160*b281*b466 + 304*b281*b467 + 216*b281*
    b468 + 376*b281*b469 + 344*b281*b470 + 248*b281*b471 + 336*b281*b472 + 136*
    b281*b473 + 108*b281*b474 + 364*b281*b475 + 360*b281*b476 + 144*b281*b477
     + 116*b281*b478 + 168*b281*b480 + 92*b281*b481 + 248*b281*b482 + 248*b281*
    b483 + 112*b281*b484 + 304*b281*b485 + 264*b281*b486 + 5624*b281*b487 + 
    2960*b281*b488 + 5624*b281*b489 + 3996*b281*b490 + 6956*b281*b491 + 6364*
    b281*b492 + 4588*b281*b493 + 6216*b281*b494 + 2516*b281*b495 + 1998*b281*
    b496 + 6734*b281*b497 + 6660*b281*b498 + 2664*b281*b499 + 2146*b281*b500 + 
    3108*b281*b502 + 1702*b281*b503 + 4588*b281*b504 + 4588*b281*b505 + 2072*
    b281*b506 + 5624*b281*b507 + 4884*b281*b508 + 456*b281*b509 + 240*b281*b510
     + 456*b281*b511 + 324*b281*b512 + 564*b281*b513 + 516*b281*b514 + 372*b281
    *b515 + 504*b281*b516 + 204*b281*b517 + 162*b281*b518 + 546*b281*b519 + 540
    *b281*b520 + 216*b281*b521 + 174*b281*b522 + 252*b281*b524 + 138*b281*b525
     + 372*b281*b526 + 372*b281*b527 + 168*b281*b528 + 456*b281*b529 + 396*b281
    *b530 + 12640*b281*b531 + 10560*b281*b532 + 13120*b281*b533 + 14536*b281*
    b534 + 12144*b281*b535 + 15088*b281*b536 + 9164*b281*b537 + 7656*b281*b538
     + 9512*b281*b539 + 7110*b281*b540 + 5940*b281*b541 + 7380*b281*b542 + 4266
    *b281*b543 + 3564*b281*b544 + 4428*b281*b545 + 13588*b281*b546 + 11352*b281
    *b547 + 14104*b281*b548 + 15326*b281*b549 + 12804*b281*b550 + 15908*b281*
    b551 + 7110*b281*b552 + 5940*b281*b553 + 7380*b281*b554 + 3476*b281*b555 + 
    2904*b281*b556 + 3608*b281*b557 + 12482*b281*b558 + 10428*b281*b559 + 12956
    *b281*b560 + 3792*b281*b561 + 3168*b281*b562 + 3936*b281*b563 + 2686*b281*
    b567 + 2244*b281*b568 + 2788*b281*b569 + 9164*b281*b570 + 7656*b281*b571 + 
    9512*b281*b572 + 15642*b281*b573 + 13068*b281*b574 + 16236*b281*b575 + 
    14220*b281*b576 + 11880*b281*b577 + 14760*b281*b578 + 11060*b281*b579 + 
    9240*b281*b580 + 11480*b281*b581 + 2686*b281*b582 + 2244*b281*b583 + 2788*
    b281*b584 + 9006*b281*b585 + 7524*b281*b586 + 9348*b281*b587 + 5846*b281*
    b588 + 4884*b281*b589 + 6068*b281*b590 + 316*b281*b591 + 264*b281*b592 + 
    328*b281*b593 + 5846*b281*b594 + 4884*b281*b595 + 6068*b281*b596 + 474*b281
    *b597 + 396*b281*b598 + 492*b281*b599 + 1120*b281*b600 + 2128*b281*b601 + 
    1512*b281*b602 + 2632*b281*b603 + 2408*b281*b604 + 1736*b281*b605 + 2352*
    b281*b606 + 952*b281*b607 + 756*b281*b608 + 2548*b281*b609 + 2520*b281*b610
     + 1008*b281*b611 + 812*b281*b612 + 1848*b281*b614 + 1176*b281*b615 + 644*
    b281*b616 + 1736*b281*b617 + 1736*b281*b618 + 784*b281*b619 + 2128*b281*
    b620 + 1848*b281*b621 + 2296*b281*b622 + 2128*b281*b623 + 14694*b281*b624
     + 12276*b281*b625 + 15252*b281*b626 + 612*b282*b289 + 1904*b282*b290 + 
    1496*b282*b291 + 476*b282*b292 + 68*b282*b293 + 2618*b282*b294 + 850*b282*
    b295 + 1292*b282*b296 + 1360*b282*b297 + 204*b282*b298 + 2958*b282*b299 + 
    1598*b282*b300 + 238*b282*b301 + 2788*b282*b302 + 1428*b282*b303 + 2924*
    b282*b305 + 2040*b282*b306 + 2108*b282*b307 + 2108*b282*b308 + 2822*b282*
    b309 + 3094*b282*b310 + 2088*b282*b311 + 6496*b282*b312 + 5104*b282*b313 + 
    1624*b282*b314 + 232*b282*b315 + 8932*b282*b316 + 2900*b282*b317 + 4408*
    b282*b318 + 4640*b282*b319 + 696*b282*b320 + 10092*b282*b321 + 5452*b282*
    b322 + 812*b282*b323 + 9512*b282*b324 + 4872*b282*b325 + 9976*b282*b327 + 
    6960*b282*b328 + 7192*b282*b329 + 7192*b282*b330 + 9628*b282*b331 + 10556*
    b282*b332 + 3564*b282*b333 + 11088*b282*b334 + 8712*b282*b335 + 2772*b282*
    b336 + 396*b282*b337 + 15246*b282*b338 + 4950*b282*b339 + 7524*b282*b340 + 
    7920*b282*b341 + 1188*b282*b342 + 17226*b282*b343 + 9306*b282*b344 + 1386*
    b282*b345 + 16236*b282*b346 + 8316*b282*b347 + 17028*b282*b349 + 11880*b282
    *b350 + 12276*b282*b351 + 12276*b282*b352 + 16434*b282*b353 + 18018*b282*
    b354 + 3240*b282*b355 + 10080*b282*b356 + 7920*b282*b357 + 2520*b282*b358
     + 360*b282*b359 + 13860*b282*b360 + 4500*b282*b361 + 6840*b282*b362 + 7200
    *b282*b363 + 1080*b282*b364 + 15660*b282*b365 + 8460*b282*b366 + 1260*b282*
    b367 + 14760*b282*b368 + 7560*b282*b369 + 15480*b282*b371 + 10800*b282*b372
     + 11160*b282*b373 + 11160*b282*b374 + 14940*b282*b375 + 16380*b282*b376 + 
    2520*b282*b377 + 7840*b282*b378 + 6160*b282*b379 + 1960*b282*b380 + 280*
    b282*b381 + 10780*b282*b382 + 3500*b282*b383 + 5320*b282*b384 + 5600*b282*
    b385 + 840*b282*b386 + 12180*b282*b387 + 6580*b282*b388 + 980*b282*b389 + 
    11480*b282*b390 + 5880*b282*b391 + 12040*b282*b393 + 8400*b282*b394 + 8680*
    b282*b395 + 8680*b282*b396 + 11620*b282*b397 + 12740*b282*b398 + 612*b282*
    b399 + 1904*b282*b400 + 1496*b282*b401 + 476*b282*b402 + 68*b282*b403 + 
    2618*b282*b404 + 850*b282*b405 + 1292*b282*b406 + 1360*b282*b407 + 204*b282
    *b408 + 2958*b282*b409 + 1598*b282*b410 + 238*b282*b411 + 2788*b282*b412 + 
    1428*b282*b413 + 2924*b282*b415 + 2040*b282*b416 + 2108*b282*b417 + 2108*
    b282*b418 + 2822*b282*b419 + 3094*b282*b420 + 2052*b282*b421 + 6384*b282*
    b422 + 5016*b282*b423 + 1596*b282*b424 + 228*b282*b425 + 8778*b282*b426 + 
    2850*b282*b427 + 4332*b282*b428 + 4560*b282*b429 + 684*b282*b430 + 9918*
    b282*b431 + 5358*b282*b432 + 798*b282*b433 + 9348*b282*b434 + 4788*b282*
    b435 + 9804*b282*b437 + 6840*b282*b438 + 7068*b282*b439 + 7068*b282*b440 + 
    9462*b282*b441 + 10374*b282*b442 + 1332*b282*b443 + 4144*b282*b444 + 3256*
    b282*b445 + 1036*b282*b446 + 148*b282*b447 + 5698*b282*b448 + 1850*b282*
    b449 + 2812*b282*b450 + 2960*b282*b451 + 444*b282*b452 + 6438*b282*b453 + 
    3478*b282*b454 + 518*b282*b455 + 6068*b282*b456 + 3108*b282*b457 + 6364*
    b282*b459 + 4440*b282*b460 + 4588*b282*b461 + 4588*b282*b462 + 6142*b282*
    b463 + 6734*b282*b464 + 72*b282*b465 + 224*b282*b466 + 176*b282*b467 + 56*
    b282*b468 + 8*b282*b469 + 308*b282*b470 + 100*b282*b471 + 152*b282*b472 + 
    160*b282*b473 + 24*b282*b474 + 348*b282*b475 + 188*b282*b476 + 28*b282*b477
     + 328*b282*b478 + 168*b282*b479 + 344*b282*b481 + 240*b282*b482 + 248*b282
    *b483 + 248*b282*b484 + 332*b282*b485 + 364*b282*b486 + 1332*b282*b487 + 
    4144*b282*b488 + 3256*b282*b489 + 1036*b282*b490 + 148*b282*b491 + 5698*
    b282*b492 + 1850*b282*b493 + 2812*b282*b494 + 2960*b282*b495 + 444*b282*
    b496 + 6438*b282*b497 + 3478*b282*b498 + 518*b282*b499 + 6068*b282*b500 + 
    3108*b282*b501 + 6364*b282*b503 + 4440*b282*b504 + 4588*b282*b505 + 4588*
    b282*b506 + 6142*b282*b507 + 6734*b282*b508 + 108*b282*b509 + 336*b282*b510
     + 264*b282*b511 + 84*b282*b512 + 12*b282*b513 + 462*b282*b514 + 150*b282*
    b515 + 228*b282*b516 + 240*b282*b517 + 36*b282*b518 + 522*b282*b519 + 282*
    b282*b520 + 42*b282*b521 + 492*b282*b522 + 252*b282*b523 + 516*b282*b525 + 
    360*b282*b526 + 372*b282*b527 + 372*b282*b528 + 498*b282*b529 + 546*b282*
    b530 + 14240*b282*b531 + 15680*b282*b532 + 9120*b282*b533 + 16376*b282*b534
     + 18032*b282*b535 + 10488*b282*b536 + 10324*b282*b537 + 11368*b282*b538 + 
    6612*b282*b539 + 8010*b282*b540 + 8820*b282*b541 + 5130*b282*b542 + 4806*
    b282*b543 + 5292*b282*b544 + 3078*b282*b545 + 15308*b282*b546 + 16856*b282*
    b547 + 9804*b282*b548 + 17266*b282*b549 + 19012*b282*b550 + 11058*b282*b551
     + 8010*b282*b552 + 8820*b282*b553 + 5130*b282*b554 + 3916*b282*b555 + 4312
    *b282*b556 + 2508*b282*b557 + 14062*b282*b558 + 15484*b282*b559 + 9006*b282
    *b560 + 4272*b282*b561 + 4704*b282*b562 + 2736*b282*b563 + 3026*b282*b567
     + 3332*b282*b568 + 1938*b282*b569 + 10324*b282*b570 + 11368*b282*b571 + 
    6612*b282*b572 + 17622*b282*b573 + 19404*b282*b574 + 11286*b282*b575 + 
    16020*b282*b576 + 17640*b282*b577 + 10260*b282*b578 + 12460*b282*b579 + 
    13720*b282*b580 + 7980*b282*b581 + 3026*b282*b582 + 3332*b282*b583 + 1938*
    b282*b584 + 10146*b282*b585 + 11172*b282*b586 + 6498*b282*b587 + 6586*b282*
    b588 + 7252*b282*b589 + 4218*b282*b590 + 356*b282*b591 + 392*b282*b592 + 
    228*b282*b593 + 6586*b282*b594 + 7252*b282*b595 + 4218*b282*b596 + 534*b282
    *b597 + 588*b282*b598 + 342*b282*b599 + 1568*b282*b600 + 1232*b282*b601 + 
    392*b282*b602 + 56*b282*b603 + 2156*b282*b604 + 700*b282*b605 + 1064*b282*
    b606 + 1120*b282*b607 + 168*b282*b608 + 2436*b282*b609 + 1316*b282*b610 + 
    196*b282*b611 + 2296*b282*b612 + 1176*b282*b613 + 2744*b282*b614 + 2408*
    b282*b616 + 1680*b282*b617 + 1736*b282*b618 + 1736*b282*b619 + 2324*b282*
    b620 + 2548*b282*b621 + 1596*b282*b622 + 504*b282*b623 + 16554*b282*b624 + 
    18228*b282*b625 + 10602*b282*b626 + 1938*b283*b289 + 34*b283*b290 + 2890*
    b283*b291 + 2414*b283*b292 + 340*b283*b293 + 510*b283*b294 + 2550*b283*b295
     + 1394*b283*b296 + 2346*b283*b297 + 2278*b283*b298 + 2448*b283*b299 + 850*
    b283*b300 + 2856*b283*b301 + 986*b283*b302 + 782*b283*b303 + 2924*b283*b304
     + 2108*b283*b306 + 1224*b283*b307 + 68*b283*b308 + 68*b283*b309 + 1462*
    b283*b310 + 6612*b283*b311 + 116*b283*b312 + 9860*b283*b313 + 8236*b283*
    b314 + 1160*b283*b315 + 1740*b283*b316 + 8700*b283*b317 + 4756*b283*b318 + 
    8004*b283*b319 + 7772*b283*b320 + 8352*b283*b321 + 2900*b283*b322 + 9744*
    b283*b323 + 3364*b283*b324 + 2668*b283*b325 + 9976*b283*b326 + 7192*b283*
    b328 + 4176*b283*b329 + 232*b283*b330 + 232*b283*b331 + 4988*b283*b332 + 
    11286*b283*b333 + 198*b283*b334 + 16830*b283*b335 + 14058*b283*b336 + 1980*
    b283*b337 + 2970*b283*b338 + 14850*b283*b339 + 8118*b283*b340 + 13662*b283*
    b341 + 13266*b283*b342 + 14256*b283*b343 + 4950*b283*b344 + 16632*b283*b345
     + 5742*b283*b346 + 4554*b283*b347 + 17028*b283*b348 + 12276*b283*b350 + 
    7128*b283*b351 + 396*b283*b352 + 396*b283*b353 + 8514*b283*b354 + 10260*
    b283*b355 + 180*b283*b356 + 15300*b283*b357 + 12780*b283*b358 + 1800*b283*
    b359 + 2700*b283*b360 + 13500*b283*b361 + 7380*b283*b362 + 12420*b283*b363
     + 12060*b283*b364 + 12960*b283*b365 + 4500*b283*b366 + 15120*b283*b367 + 
    5220*b283*b368 + 4140*b283*b369 + 15480*b283*b370 + 11160*b283*b372 + 6480*
    b283*b373 + 360*b283*b374 + 360*b283*b375 + 7740*b283*b376 + 7980*b283*b377
     + 140*b283*b378 + 11900*b283*b379 + 9940*b283*b380 + 1400*b283*b381 + 2100
    *b283*b382 + 10500*b283*b383 + 5740*b283*b384 + 9660*b283*b385 + 9380*b283*
    b386 + 10080*b283*b387 + 3500*b283*b388 + 11760*b283*b389 + 4060*b283*b390
     + 3220*b283*b391 + 12040*b283*b392 + 8680*b283*b394 + 5040*b283*b395 + 280
    *b283*b396 + 280*b283*b397 + 6020*b283*b398 + 1938*b283*b399 + 34*b283*b400
     + 2890*b283*b401 + 2414*b283*b402 + 340*b283*b403 + 510*b283*b404 + 2550*
    b283*b405 + 1394*b283*b406 + 2346*b283*b407 + 2278*b283*b408 + 2448*b283*
    b409 + 850*b283*b410 + 2856*b283*b411 + 986*b283*b412 + 782*b283*b413 + 
    2924*b283*b414 + 2108*b283*b416 + 1224*b283*b417 + 68*b283*b418 + 68*b283*
    b419 + 1462*b283*b420 + 6498*b283*b421 + 114*b283*b422 + 9690*b283*b423 + 
    8094*b283*b424 + 1140*b283*b425 + 1710*b283*b426 + 8550*b283*b427 + 4674*
    b283*b428 + 7866*b283*b429 + 7638*b283*b430 + 8208*b283*b431 + 2850*b283*
    b432 + 9576*b283*b433 + 3306*b283*b434 + 2622*b283*b435 + 9804*b283*b436 + 
    7068*b283*b438 + 4104*b283*b439 + 228*b283*b440 + 228*b283*b441 + 4902*b283
    *b442 + 4218*b283*b443 + 74*b283*b444 + 6290*b283*b445 + 5254*b283*b446 + 
    740*b283*b447 + 1110*b283*b448 + 5550*b283*b449 + 3034*b283*b450 + 5106*
    b283*b451 + 4958*b283*b452 + 5328*b283*b453 + 1850*b283*b454 + 6216*b283*
    b455 + 2146*b283*b456 + 1702*b283*b457 + 6364*b283*b458 + 4588*b283*b460 + 
    2664*b283*b461 + 148*b283*b462 + 148*b283*b463 + 3182*b283*b464 + 228*b283*
    b465 + 4*b283*b466 + 340*b283*b467 + 284*b283*b468 + 40*b283*b469 + 60*b283
    *b470 + 300*b283*b471 + 164*b283*b472 + 276*b283*b473 + 268*b283*b474 + 288
    *b283*b475 + 100*b283*b476 + 336*b283*b477 + 116*b283*b478 + 92*b283*b479
     + 344*b283*b480 + 248*b283*b482 + 144*b283*b483 + 8*b283*b484 + 8*b283*
    b485 + 172*b283*b486 + 4218*b283*b487 + 74*b283*b488 + 6290*b283*b489 + 
    5254*b283*b490 + 740*b283*b491 + 1110*b283*b492 + 5550*b283*b493 + 3034*
    b283*b494 + 5106*b283*b495 + 4958*b283*b496 + 5328*b283*b497 + 1850*b283*
    b498 + 6216*b283*b499 + 2146*b283*b500 + 1702*b283*b501 + 6364*b283*b502 + 
    4588*b283*b504 + 2664*b283*b505 + 148*b283*b506 + 148*b283*b507 + 3182*b283
    *b508 + 342*b283*b509 + 6*b283*b510 + 510*b283*b511 + 426*b283*b512 + 60*
    b283*b513 + 90*b283*b514 + 450*b283*b515 + 246*b283*b516 + 414*b283*b517 + 
    402*b283*b518 + 432*b283*b519 + 150*b283*b520 + 504*b283*b521 + 174*b283*
    b522 + 138*b283*b523 + 516*b283*b524 + 372*b283*b526 + 216*b283*b527 + 12*
    b283*b528 + 12*b283*b529 + 258*b283*b530 + 5600*b283*b531 + 5600*b283*b532
     + 10400*b283*b533 + 6440*b283*b534 + 6440*b283*b535 + 11960*b283*b536 + 
    4060*b283*b537 + 4060*b283*b538 + 7540*b283*b539 + 3150*b283*b540 + 3150*
    b283*b541 + 5850*b283*b542 + 1890*b283*b543 + 1890*b283*b544 + 3510*b283*
    b545 + 6020*b283*b546 + 6020*b283*b547 + 11180*b283*b548 + 6790*b283*b549
     + 6790*b283*b550 + 12610*b283*b551 + 3150*b283*b552 + 3150*b283*b553 + 
    5850*b283*b554 + 1540*b283*b555 + 1540*b283*b556 + 2860*b283*b557 + 5530*
    b283*b558 + 5530*b283*b559 + 10270*b283*b560 + 1680*b283*b561 + 1680*b283*
    b562 + 3120*b283*b563 + 1190*b283*b567 + 1190*b283*b568 + 2210*b283*b569 + 
    4060*b283*b570 + 4060*b283*b571 + 7540*b283*b572 + 6930*b283*b573 + 6930*
    b283*b574 + 12870*b283*b575 + 6300*b283*b576 + 6300*b283*b577 + 11700*b283*
    b578 + 4900*b283*b579 + 4900*b283*b580 + 9100*b283*b581 + 1190*b283*b582 + 
    1190*b283*b583 + 2210*b283*b584 + 3990*b283*b585 + 3990*b283*b586 + 7410*
    b283*b587 + 2590*b283*b588 + 2590*b283*b589 + 4810*b283*b590 + 140*b283*
    b591 + 140*b283*b592 + 260*b283*b593 + 2590*b283*b594 + 2590*b283*b595 + 
    4810*b283*b596 + 210*b283*b597 + 210*b283*b598 + 390*b283*b599 + 28*b283*
    b600 + 2380*b283*b601 + 1988*b283*b602 + 280*b283*b603 + 420*b283*b604 + 
    2100*b283*b605 + 1148*b283*b606 + 1932*b283*b607 + 1876*b283*b608 + 2016*
    b283*b609 + 700*b283*b610 + 2352*b283*b611 + 812*b283*b612 + 644*b283*b613
     + 980*b283*b614 + 2408*b283*b615 + 1736*b283*b617 + 1008*b283*b618 + 56*
    b283*b619 + 56*b283*b620 + 1204*b283*b621 + 1820*b283*b622 + 1596*b283*b623
     + 6510*b283*b624 + 6510*b283*b625 + 12090*b283*b626 + 1224*b284*b289 + 
    1700*b284*b290 + 3196*b284*b291 + 2618*b284*b292 + 3366*b284*b293 + 3026*
    b284*b294 + 2584*b284*b295 + 1904*b284*b296 + 408*b284*b297 + 884*b284*b298
     + 1530*b284*b299 + 1020*b284*b300 + 204*b284*b301 + 102*b284*b302 + 2108*
    b284*b303 + 2040*b284*b304 + 2108*b284*b305 + 1258*b284*b307 + 1666*b284*
    b308 + 2074*b284*b309 + 170*b284*b310 + 4176*b284*b311 + 5800*b284*b312 + 
    10904*b284*b313 + 8932*b284*b314 + 11484*b284*b315 + 10324*b284*b316 + 8816
    *b284*b317 + 6496*b284*b318 + 1392*b284*b319 + 3016*b284*b320 + 5220*b284*
    b321 + 3480*b284*b322 + 696*b284*b323 + 348*b284*b324 + 7192*b284*b325 + 
    6960*b284*b326 + 7192*b284*b327 + 4292*b284*b329 + 5684*b284*b330 + 7076*
    b284*b331 + 580*b284*b332 + 7128*b284*b333 + 9900*b284*b334 + 18612*b284*
    b335 + 15246*b284*b336 + 19602*b284*b337 + 17622*b284*b338 + 15048*b284*
    b339 + 11088*b284*b340 + 2376*b284*b341 + 5148*b284*b342 + 8910*b284*b343
     + 5940*b284*b344 + 1188*b284*b345 + 594*b284*b346 + 12276*b284*b347 + 
    11880*b284*b348 + 12276*b284*b349 + 7326*b284*b351 + 9702*b284*b352 + 12078
    *b284*b353 + 990*b284*b354 + 6480*b284*b355 + 9000*b284*b356 + 16920*b284*
    b357 + 13860*b284*b358 + 17820*b284*b359 + 16020*b284*b360 + 13680*b284*
    b361 + 10080*b284*b362 + 2160*b284*b363 + 4680*b284*b364 + 8100*b284*b365
     + 5400*b284*b366 + 1080*b284*b367 + 540*b284*b368 + 11160*b284*b369 + 
    10800*b284*b370 + 11160*b284*b371 + 6660*b284*b373 + 8820*b284*b374 + 10980
    *b284*b375 + 900*b284*b376 + 5040*b284*b377 + 7000*b284*b378 + 13160*b284*
    b379 + 10780*b284*b380 + 13860*b284*b381 + 12460*b284*b382 + 10640*b284*
    b383 + 7840*b284*b384 + 1680*b284*b385 + 3640*b284*b386 + 6300*b284*b387 + 
    4200*b284*b388 + 840*b284*b389 + 420*b284*b390 + 8680*b284*b391 + 8400*b284
    *b392 + 8680*b284*b393 + 5180*b284*b395 + 6860*b284*b396 + 8540*b284*b397
     + 700*b284*b398 + 1224*b284*b399 + 1700*b284*b400 + 3196*b284*b401 + 2618*
    b284*b402 + 3366*b284*b403 + 3026*b284*b404 + 2584*b284*b405 + 1904*b284*
    b406 + 408*b284*b407 + 884*b284*b408 + 1530*b284*b409 + 1020*b284*b410 + 
    204*b284*b411 + 102*b284*b412 + 2108*b284*b413 + 2040*b284*b414 + 2108*b284
    *b415 + 1258*b284*b417 + 1666*b284*b418 + 2074*b284*b419 + 170*b284*b420 + 
    4104*b284*b421 + 5700*b284*b422 + 10716*b284*b423 + 8778*b284*b424 + 11286*
    b284*b425 + 10146*b284*b426 + 8664*b284*b427 + 6384*b284*b428 + 1368*b284*
    b429 + 2964*b284*b430 + 5130*b284*b431 + 3420*b284*b432 + 684*b284*b433 + 
    342*b284*b434 + 7068*b284*b435 + 6840*b284*b436 + 7068*b284*b437 + 4218*
    b284*b439 + 5586*b284*b440 + 6954*b284*b441 + 570*b284*b442 + 2664*b284*
    b443 + 3700*b284*b444 + 6956*b284*b445 + 5698*b284*b446 + 7326*b284*b447 + 
    6586*b284*b448 + 5624*b284*b449 + 4144*b284*b450 + 888*b284*b451 + 1924*
    b284*b452 + 3330*b284*b453 + 2220*b284*b454 + 444*b284*b455 + 222*b284*b456
     + 4588*b284*b457 + 4440*b284*b458 + 4588*b284*b459 + 2738*b284*b461 + 3626
    *b284*b462 + 4514*b284*b463 + 370*b284*b464 + 144*b284*b465 + 200*b284*b466
     + 376*b284*b467 + 308*b284*b468 + 396*b284*b469 + 356*b284*b470 + 304*b284
    *b471 + 224*b284*b472 + 48*b284*b473 + 104*b284*b474 + 180*b284*b475 + 120*
    b284*b476 + 24*b284*b477 + 12*b284*b478 + 248*b284*b479 + 240*b284*b480 + 
    248*b284*b481 + 148*b284*b483 + 196*b284*b484 + 244*b284*b485 + 20*b284*
    b486 + 2664*b284*b487 + 3700*b284*b488 + 6956*b284*b489 + 5698*b284*b490 + 
    7326*b284*b491 + 6586*b284*b492 + 5624*b284*b493 + 4144*b284*b494 + 888*
    b284*b495 + 1924*b284*b496 + 3330*b284*b497 + 2220*b284*b498 + 444*b284*
    b499 + 222*b284*b500 + 4588*b284*b501 + 4440*b284*b502 + 4588*b284*b503 + 
    2738*b284*b505 + 3626*b284*b506 + 4514*b284*b507 + 370*b284*b508 + 216*b284
    *b509 + 300*b284*b510 + 564*b284*b511 + 462*b284*b512 + 594*b284*b513 + 534
    *b284*b514 + 456*b284*b515 + 336*b284*b516 + 72*b284*b517 + 156*b284*b518
     + 270*b284*b519 + 180*b284*b520 + 36*b284*b521 + 18*b284*b522 + 372*b284*
    b523 + 360*b284*b524 + 372*b284*b525 + 222*b284*b527 + 294*b284*b528 + 366*
    b284*b529 + 30*b284*b530 + 1440*b284*b531 + 2400*b284*b532 + 5440*b284*b533
     + 1656*b284*b534 + 2760*b284*b535 + 6256*b284*b536 + 1044*b284*b537 + 1740
    *b284*b538 + 3944*b284*b539 + 810*b284*b540 + 1350*b284*b541 + 3060*b284*
    b542 + 486*b284*b543 + 810*b284*b544 + 1836*b284*b545 + 1548*b284*b546 + 
    2580*b284*b547 + 5848*b284*b548 + 1746*b284*b549 + 2910*b284*b550 + 6596*
    b284*b551 + 810*b284*b552 + 1350*b284*b553 + 3060*b284*b554 + 396*b284*b555
     + 660*b284*b556 + 1496*b284*b557 + 1422*b284*b558 + 2370*b284*b559 + 5372*
    b284*b560 + 432*b284*b561 + 720*b284*b562 + 1632*b284*b563 + 306*b284*b567
     + 510*b284*b568 + 1156*b284*b569 + 1044*b284*b570 + 1740*b284*b571 + 3944*
    b284*b572 + 1782*b284*b573 + 2970*b284*b574 + 6732*b284*b575 + 1620*b284*
    b576 + 2700*b284*b577 + 6120*b284*b578 + 1260*b284*b579 + 2100*b284*b580 + 
    4760*b284*b581 + 306*b284*b582 + 510*b284*b583 + 1156*b284*b584 + 1026*b284
    *b585 + 1710*b284*b586 + 3876*b284*b587 + 666*b284*b588 + 1110*b284*b589 + 
    2516*b284*b590 + 36*b284*b591 + 60*b284*b592 + 136*b284*b593 + 666*b284*
    b594 + 1110*b284*b595 + 2516*b284*b596 + 54*b284*b597 + 90*b284*b598 + 204*
    b284*b599 + 1400*b284*b600 + 2632*b284*b601 + 2156*b284*b602 + 2772*b284*
    b603 + 2492*b284*b604 + 2128*b284*b605 + 1568*b284*b606 + 336*b284*b607 + 
    728*b284*b608 + 1260*b284*b609 + 840*b284*b610 + 168*b284*b611 + 84*b284*
    b612 + 1736*b284*b613 + 420*b284*b614 + 1680*b284*b615 + 1736*b284*b616 + 
    1036*b284*b618 + 1372*b284*b619 + 1708*b284*b620 + 140*b284*b621 + 952*b284
    *b622 + 1008*b284*b623 + 1674*b284*b624 + 2790*b284*b625 + 6324*b284*b626
     + 2074*b285*b289 + 136*b285*b290 + 3060*b285*b291 + 1224*b285*b292 + 1904*
    b285*b293 + 1632*b285*b294 + 1360*b285*b295 + 1326*b285*b296 + 2890*b285*
    b297 + 2788*b285*b298 + 3264*b285*b299 + 1462*b285*b300 + 102*b285*b302 + 
    2108*b285*b303 + 2108*b285*b304 + 1224*b285*b305 + 1258*b285*b306 + 1802*
    b285*b308 + 3264*b285*b309 + 2788*b285*b310 + 7076*b285*b311 + 464*b285*
    b312 + 10440*b285*b313 + 4176*b285*b314 + 6496*b285*b315 + 5568*b285*b316
     + 4640*b285*b317 + 4524*b285*b318 + 9860*b285*b319 + 9512*b285*b320 + 
    11136*b285*b321 + 4988*b285*b322 + 348*b285*b324 + 7192*b285*b325 + 7192*
    b285*b326 + 4176*b285*b327 + 4292*b285*b328 + 6148*b285*b330 + 11136*b285*
    b331 + 9512*b285*b332 + 12078*b285*b333 + 792*b285*b334 + 17820*b285*b335
     + 7128*b285*b336 + 11088*b285*b337 + 9504*b285*b338 + 7920*b285*b339 + 
    7722*b285*b340 + 16830*b285*b341 + 16236*b285*b342 + 19008*b285*b343 + 8514
    *b285*b344 + 594*b285*b346 + 12276*b285*b347 + 12276*b285*b348 + 7128*b285*
    b349 + 7326*b285*b350 + 10494*b285*b352 + 19008*b285*b353 + 16236*b285*b354
     + 10980*b285*b355 + 720*b285*b356 + 16200*b285*b357 + 6480*b285*b358 + 
    10080*b285*b359 + 8640*b285*b360 + 7200*b285*b361 + 7020*b285*b362 + 15300*
    b285*b363 + 14760*b285*b364 + 17280*b285*b365 + 7740*b285*b366 + 540*b285*
    b368 + 11160*b285*b369 + 11160*b285*b370 + 6480*b285*b371 + 6660*b285*b372
     + 9540*b285*b374 + 17280*b285*b375 + 14760*b285*b376 + 8540*b285*b377 + 
    560*b285*b378 + 12600*b285*b379 + 5040*b285*b380 + 7840*b285*b381 + 6720*
    b285*b382 + 5600*b285*b383 + 5460*b285*b384 + 11900*b285*b385 + 11480*b285*
    b386 + 13440*b285*b387 + 6020*b285*b388 + 420*b285*b390 + 8680*b285*b391 + 
    8680*b285*b392 + 5040*b285*b393 + 5180*b285*b394 + 7420*b285*b396 + 13440*
    b285*b397 + 11480*b285*b398 + 2074*b285*b399 + 136*b285*b400 + 3060*b285*
    b401 + 1224*b285*b402 + 1904*b285*b403 + 1632*b285*b404 + 1360*b285*b405 + 
    1326*b285*b406 + 2890*b285*b407 + 2788*b285*b408 + 3264*b285*b409 + 1462*
    b285*b410 + 102*b285*b412 + 2108*b285*b413 + 2108*b285*b414 + 1224*b285*
    b415 + 1258*b285*b416 + 1802*b285*b418 + 3264*b285*b419 + 2788*b285*b420 + 
    6954*b285*b421 + 456*b285*b422 + 10260*b285*b423 + 4104*b285*b424 + 6384*
    b285*b425 + 5472*b285*b426 + 4560*b285*b427 + 4446*b285*b428 + 9690*b285*
    b429 + 9348*b285*b430 + 10944*b285*b431 + 4902*b285*b432 + 342*b285*b434 + 
    7068*b285*b435 + 7068*b285*b436 + 4104*b285*b437 + 4218*b285*b438 + 6042*
    b285*b440 + 10944*b285*b441 + 9348*b285*b442 + 4514*b285*b443 + 296*b285*
    b444 + 6660*b285*b445 + 2664*b285*b446 + 4144*b285*b447 + 3552*b285*b448 + 
    2960*b285*b449 + 2886*b285*b450 + 6290*b285*b451 + 6068*b285*b452 + 7104*
    b285*b453 + 3182*b285*b454 + 222*b285*b456 + 4588*b285*b457 + 4588*b285*
    b458 + 2664*b285*b459 + 2738*b285*b460 + 3922*b285*b462 + 7104*b285*b463 + 
    6068*b285*b464 + 244*b285*b465 + 16*b285*b466 + 360*b285*b467 + 144*b285*
    b468 + 224*b285*b469 + 192*b285*b470 + 160*b285*b471 + 156*b285*b472 + 340*
    b285*b473 + 328*b285*b474 + 384*b285*b475 + 172*b285*b476 + 12*b285*b478 + 
    248*b285*b479 + 248*b285*b480 + 144*b285*b481 + 148*b285*b482 + 212*b285*
    b484 + 384*b285*b485 + 328*b285*b486 + 4514*b285*b487 + 296*b285*b488 + 
    6660*b285*b489 + 2664*b285*b490 + 4144*b285*b491 + 3552*b285*b492 + 2960*
    b285*b493 + 2886*b285*b494 + 6290*b285*b495 + 6068*b285*b496 + 7104*b285*
    b497 + 3182*b285*b498 + 222*b285*b500 + 4588*b285*b501 + 4588*b285*b502 + 
    2664*b285*b503 + 2738*b285*b504 + 3922*b285*b506 + 7104*b285*b507 + 6068*
    b285*b508 + 366*b285*b509 + 24*b285*b510 + 540*b285*b511 + 216*b285*b512 + 
    336*b285*b513 + 288*b285*b514 + 240*b285*b515 + 234*b285*b516 + 510*b285*
    b517 + 492*b285*b518 + 576*b285*b519 + 258*b285*b520 + 18*b285*b522 + 372*
    b285*b523 + 372*b285*b524 + 216*b285*b525 + 222*b285*b526 + 318*b285*b528
     + 576*b285*b529 + 492*b285*b530 + 160*b285*b531 + 2720*b285*b532 + 7680*
    b285*b533 + 184*b285*b534 + 3128*b285*b535 + 8832*b285*b536 + 116*b285*b537
     + 1972*b285*b538 + 5568*b285*b539 + 90*b285*b540 + 1530*b285*b541 + 4320*
    b285*b542 + 54*b285*b543 + 918*b285*b544 + 2592*b285*b545 + 172*b285*b546
     + 2924*b285*b547 + 8256*b285*b548 + 194*b285*b549 + 3298*b285*b550 + 9312*
    b285*b551 + 90*b285*b552 + 1530*b285*b553 + 4320*b285*b554 + 44*b285*b555
     + 748*b285*b556 + 2112*b285*b557 + 158*b285*b558 + 2686*b285*b559 + 7584*
    b285*b560 + 48*b285*b561 + 816*b285*b562 + 2304*b285*b563 + 34*b285*b567 + 
    578*b285*b568 + 1632*b285*b569 + 116*b285*b570 + 1972*b285*b571 + 5568*b285
    *b572 + 198*b285*b573 + 3366*b285*b574 + 9504*b285*b575 + 180*b285*b576 + 
    3060*b285*b577 + 8640*b285*b578 + 140*b285*b579 + 2380*b285*b580 + 6720*
    b285*b581 + 34*b285*b582 + 578*b285*b583 + 1632*b285*b584 + 114*b285*b585
     + 1938*b285*b586 + 5472*b285*b587 + 74*b285*b588 + 1258*b285*b589 + 3552*
    b285*b590 + 4*b285*b591 + 68*b285*b592 + 192*b285*b593 + 74*b285*b594 + 
    1258*b285*b595 + 3552*b285*b596 + 6*b285*b597 + 102*b285*b598 + 288*b285*
    b599 + 112*b285*b600 + 2520*b285*b601 + 1008*b285*b602 + 1568*b285*b603 + 
    1344*b285*b604 + 1120*b285*b605 + 1092*b285*b606 + 2380*b285*b607 + 2296*
    b285*b608 + 2688*b285*b609 + 1204*b285*b610 + 84*b285*b612 + 1736*b285*b613
     + 476*b285*b614 + 1736*b285*b615 + 1008*b285*b616 + 1036*b285*b617 + 1484*
    b285*b619 + 2688*b285*b620 + 2296*b285*b621 + 1344*b285*b622 + 1708*b285*
    b623 + 186*b285*b624 + 3162*b285*b625 + 8928*b285*b626 + 1224*b286*b289 + 
    1224*b286*b290 + 1734*b286*b291 + 1802*b286*b292 + 2380*b286*b293 + 476*
    b286*b294 + 2244*b286*b295 + 1802*b286*b296 + 2448*b286*b297 + 1496*b286*
    b298 + 238*b286*b299 + 3298*b286*b300 + 1734*b286*b302 + 952*b286*b303 + 
    2108*b286*b304 + 68*b286*b305 + 1666*b286*b306 + 1802*b286*b307 + 952*b286*
    b309 + 1054*b286*b310 + 4176*b286*b311 + 4176*b286*b312 + 5916*b286*b313 + 
    6148*b286*b314 + 8120*b286*b315 + 1624*b286*b316 + 7656*b286*b317 + 6148*
    b286*b318 + 8352*b286*b319 + 5104*b286*b320 + 812*b286*b321 + 11252*b286*
    b322 + 5916*b286*b324 + 3248*b286*b325 + 7192*b286*b326 + 232*b286*b327 + 
    5684*b286*b328 + 6148*b286*b329 + 3248*b286*b331 + 3596*b286*b332 + 7128*
    b286*b333 + 7128*b286*b334 + 10098*b286*b335 + 10494*b286*b336 + 13860*b286
    *b337 + 2772*b286*b338 + 13068*b286*b339 + 10494*b286*b340 + 14256*b286*
    b341 + 8712*b286*b342 + 1386*b286*b343 + 19206*b286*b344 + 10098*b286*b346
     + 5544*b286*b347 + 12276*b286*b348 + 396*b286*b349 + 9702*b286*b350 + 
    10494*b286*b351 + 5544*b286*b353 + 6138*b286*b354 + 6480*b286*b355 + 6480*
    b286*b356 + 9180*b286*b357 + 9540*b286*b358 + 12600*b286*b359 + 2520*b286*
    b360 + 11880*b286*b361 + 9540*b286*b362 + 12960*b286*b363 + 7920*b286*b364
     + 1260*b286*b365 + 17460*b286*b366 + 9180*b286*b368 + 5040*b286*b369 + 
    11160*b286*b370 + 360*b286*b371 + 8820*b286*b372 + 9540*b286*b373 + 5040*
    b286*b375 + 5580*b286*b376 + 5040*b286*b377 + 5040*b286*b378 + 7140*b286*
    b379 + 7420*b286*b380 + 9800*b286*b381 + 1960*b286*b382 + 9240*b286*b383 + 
    7420*b286*b384 + 10080*b286*b385 + 6160*b286*b386 + 980*b286*b387 + 13580*
    b286*b388 + 7140*b286*b390 + 3920*b286*b391 + 8680*b286*b392 + 280*b286*
    b393 + 6860*b286*b394 + 7420*b286*b395 + 3920*b286*b397 + 4340*b286*b398 + 
    1224*b286*b399 + 1224*b286*b400 + 1734*b286*b401 + 1802*b286*b402 + 2380*
    b286*b403 + 476*b286*b404 + 2244*b286*b405 + 1802*b286*b406 + 2448*b286*
    b407 + 1496*b286*b408 + 238*b286*b409 + 3298*b286*b410 + 1734*b286*b412 + 
    952*b286*b413 + 2108*b286*b414 + 68*b286*b415 + 1666*b286*b416 + 1802*b286*
    b417 + 952*b286*b419 + 1054*b286*b420 + 4104*b286*b421 + 4104*b286*b422 + 
    5814*b286*b423 + 6042*b286*b424 + 7980*b286*b425 + 1596*b286*b426 + 7524*
    b286*b427 + 6042*b286*b428 + 8208*b286*b429 + 5016*b286*b430 + 798*b286*
    b431 + 11058*b286*b432 + 5814*b286*b434 + 3192*b286*b435 + 7068*b286*b436
     + 228*b286*b437 + 5586*b286*b438 + 6042*b286*b439 + 3192*b286*b441 + 3534*
    b286*b442 + 2664*b286*b443 + 2664*b286*b444 + 3774*b286*b445 + 3922*b286*
    b446 + 5180*b286*b447 + 1036*b286*b448 + 4884*b286*b449 + 3922*b286*b450 + 
    5328*b286*b451 + 3256*b286*b452 + 518*b286*b453 + 7178*b286*b454 + 3774*
    b286*b456 + 2072*b286*b457 + 4588*b286*b458 + 148*b286*b459 + 3626*b286*
    b460 + 3922*b286*b461 + 2072*b286*b463 + 2294*b286*b464 + 144*b286*b465 + 
    144*b286*b466 + 204*b286*b467 + 212*b286*b468 + 280*b286*b469 + 56*b286*
    b470 + 264*b286*b471 + 212*b286*b472 + 288*b286*b473 + 176*b286*b474 + 28*
    b286*b475 + 388*b286*b476 + 204*b286*b478 + 112*b286*b479 + 248*b286*b480
     + 8*b286*b481 + 196*b286*b482 + 212*b286*b483 + 112*b286*b485 + 124*b286*
    b486 + 2664*b286*b487 + 2664*b286*b488 + 3774*b286*b489 + 3922*b286*b490 + 
    5180*b286*b491 + 1036*b286*b492 + 4884*b286*b493 + 3922*b286*b494 + 5328*
    b286*b495 + 3256*b286*b496 + 518*b286*b497 + 7178*b286*b498 + 3774*b286*
    b500 + 2072*b286*b501 + 4588*b286*b502 + 148*b286*b503 + 3626*b286*b504 + 
    3922*b286*b505 + 2072*b286*b507 + 2294*b286*b508 + 216*b286*b509 + 216*b286
    *b510 + 306*b286*b511 + 318*b286*b512 + 420*b286*b513 + 84*b286*b514 + 396*
    b286*b515 + 318*b286*b516 + 432*b286*b517 + 264*b286*b518 + 42*b286*b519 + 
    582*b286*b520 + 306*b286*b522 + 168*b286*b523 + 372*b286*b524 + 12*b286*
    b525 + 294*b286*b526 + 318*b286*b527 + 168*b286*b529 + 186*b286*b530 + 
    13600*b286*b531 + 12320*b286*b532 + 12000*b286*b533 + 15640*b286*b534 + 
    14168*b286*b535 + 13800*b286*b536 + 9860*b286*b537 + 8932*b286*b538 + 8700*
    b286*b539 + 7650*b286*b540 + 6930*b286*b541 + 6750*b286*b542 + 4590*b286*
    b543 + 4158*b286*b544 + 4050*b286*b545 + 14620*b286*b546 + 13244*b286*b547
     + 12900*b286*b548 + 16490*b286*b549 + 14938*b286*b550 + 14550*b286*b551 + 
    7650*b286*b552 + 6930*b286*b553 + 6750*b286*b554 + 3740*b286*b555 + 3388*
    b286*b556 + 3300*b286*b557 + 13430*b286*b558 + 12166*b286*b559 + 11850*b286
    *b560 + 4080*b286*b561 + 3696*b286*b562 + 3600*b286*b563 + 2890*b286*b567
     + 2618*b286*b568 + 2550*b286*b569 + 9860*b286*b570 + 8932*b286*b571 + 8700
    *b286*b572 + 16830*b286*b573 + 15246*b286*b574 + 14850*b286*b575 + 15300*
    b286*b576 + 13860*b286*b577 + 13500*b286*b578 + 11900*b286*b579 + 10780*
    b286*b580 + 10500*b286*b581 + 2890*b286*b582 + 2618*b286*b583 + 2550*b286*
    b584 + 9690*b286*b585 + 8778*b286*b586 + 8550*b286*b587 + 6290*b286*b588 + 
    5698*b286*b589 + 5550*b286*b590 + 340*b286*b591 + 308*b286*b592 + 300*b286*
    b593 + 6290*b286*b594 + 5698*b286*b595 + 5550*b286*b596 + 510*b286*b597 + 
    462*b286*b598 + 450*b286*b599 + 1008*b286*b600 + 1428*b286*b601 + 1484*b286
    *b602 + 1960*b286*b603 + 392*b286*b604 + 1848*b286*b605 + 1484*b286*b606 + 
    2016*b286*b607 + 1232*b286*b608 + 196*b286*b609 + 2716*b286*b610 + 1428*
    b286*b612 + 784*b286*b613 + 2156*b286*b614 + 1736*b286*b615 + 56*b286*b616
     + 1372*b286*b617 + 1484*b286*b618 + 784*b286*b620 + 868*b286*b621 + 2100*
    b286*b622 + 1008*b286*b623 + 15810*b286*b624 + 14322*b286*b625 + 13950*b286
    *b626 + 714*b287*b289 + 918*b287*b290 + 102*b287*b291 + 1258*b287*b292 + 
    3366*b287*b293 + 3026*b287*b294 + 1972*b287*b295 + 2618*b287*b296 + 238*
    b287*b297 + 1190*b287*b298 + 2958*b287*b299 + 1122*b287*b300 + 1632*b287*
    b301 + 2278*b287*b302 + 2584*b287*b303 + 2822*b287*b304 + 68*b287*b305 + 
    2074*b287*b306 + 3264*b287*b307 + 952*b287*b308 + 34*b287*b310 + 2436*b287*
    b311 + 3132*b287*b312 + 348*b287*b313 + 4292*b287*b314 + 11484*b287*b315 + 
    10324*b287*b316 + 6728*b287*b317 + 8932*b287*b318 + 812*b287*b319 + 4060*
    b287*b320 + 10092*b287*b321 + 3828*b287*b322 + 5568*b287*b323 + 7772*b287*
    b324 + 8816*b287*b325 + 9628*b287*b326 + 232*b287*b327 + 7076*b287*b328 + 
    11136*b287*b329 + 3248*b287*b330 + 116*b287*b332 + 4158*b287*b333 + 5346*
    b287*b334 + 594*b287*b335 + 7326*b287*b336 + 19602*b287*b337 + 17622*b287*
    b338 + 11484*b287*b339 + 15246*b287*b340 + 1386*b287*b341 + 6930*b287*b342
     + 17226*b287*b343 + 6534*b287*b344 + 9504*b287*b345 + 13266*b287*b346 + 
    15048*b287*b347 + 16434*b287*b348 + 396*b287*b349 + 12078*b287*b350 + 19008
    *b287*b351 + 5544*b287*b352 + 198*b287*b354 + 3780*b287*b355 + 4860*b287*
    b356 + 540*b287*b357 + 6660*b287*b358 + 17820*b287*b359 + 16020*b287*b360
     + 10440*b287*b361 + 13860*b287*b362 + 1260*b287*b363 + 6300*b287*b364 + 
    15660*b287*b365 + 5940*b287*b366 + 8640*b287*b367 + 12060*b287*b368 + 13680
    *b287*b369 + 14940*b287*b370 + 360*b287*b371 + 10980*b287*b372 + 17280*b287
    *b373 + 5040*b287*b374 + 180*b287*b376 + 2940*b287*b377 + 3780*b287*b378 + 
    420*b287*b379 + 5180*b287*b380 + 13860*b287*b381 + 12460*b287*b382 + 8120*
    b287*b383 + 10780*b287*b384 + 980*b287*b385 + 4900*b287*b386 + 12180*b287*
    b387 + 4620*b287*b388 + 6720*b287*b389 + 9380*b287*b390 + 10640*b287*b391
     + 11620*b287*b392 + 280*b287*b393 + 8540*b287*b394 + 13440*b287*b395 + 
    3920*b287*b396 + 140*b287*b398 + 714*b287*b399 + 918*b287*b400 + 102*b287*
    b401 + 1258*b287*b402 + 3366*b287*b403 + 3026*b287*b404 + 1972*b287*b405 + 
    2618*b287*b406 + 238*b287*b407 + 1190*b287*b408 + 2958*b287*b409 + 1122*
    b287*b410 + 1632*b287*b411 + 2278*b287*b412 + 2584*b287*b413 + 2822*b287*
    b414 + 68*b287*b415 + 2074*b287*b416 + 3264*b287*b417 + 952*b287*b418 + 34*
    b287*b420 + 2394*b287*b421 + 3078*b287*b422 + 342*b287*b423 + 4218*b287*
    b424 + 11286*b287*b425 + 10146*b287*b426 + 6612*b287*b427 + 8778*b287*b428
     + 798*b287*b429 + 3990*b287*b430 + 9918*b287*b431 + 3762*b287*b432 + 5472*
    b287*b433 + 7638*b287*b434 + 8664*b287*b435 + 9462*b287*b436 + 228*b287*
    b437 + 6954*b287*b438 + 10944*b287*b439 + 3192*b287*b440 + 114*b287*b442 + 
    1554*b287*b443 + 1998*b287*b444 + 222*b287*b445 + 2738*b287*b446 + 7326*
    b287*b447 + 6586*b287*b448 + 4292*b287*b449 + 5698*b287*b450 + 518*b287*
    b451 + 2590*b287*b452 + 6438*b287*b453 + 2442*b287*b454 + 3552*b287*b455 + 
    4958*b287*b456 + 5624*b287*b457 + 6142*b287*b458 + 148*b287*b459 + 4514*
    b287*b460 + 7104*b287*b461 + 2072*b287*b462 + 74*b287*b464 + 84*b287*b465
     + 108*b287*b466 + 12*b287*b467 + 148*b287*b468 + 396*b287*b469 + 356*b287*
    b470 + 232*b287*b471 + 308*b287*b472 + 28*b287*b473 + 140*b287*b474 + 348*
    b287*b475 + 132*b287*b476 + 192*b287*b477 + 268*b287*b478 + 304*b287*b479
     + 332*b287*b480 + 8*b287*b481 + 244*b287*b482 + 384*b287*b483 + 112*b287*
    b484 + 4*b287*b486 + 1554*b287*b487 + 1998*b287*b488 + 222*b287*b489 + 2738
    *b287*b490 + 7326*b287*b491 + 6586*b287*b492 + 4292*b287*b493 + 5698*b287*
    b494 + 518*b287*b495 + 2590*b287*b496 + 6438*b287*b497 + 2442*b287*b498 + 
    3552*b287*b499 + 4958*b287*b500 + 5624*b287*b501 + 6142*b287*b502 + 148*
    b287*b503 + 4514*b287*b504 + 7104*b287*b505 + 2072*b287*b506 + 74*b287*b508
     + 126*b287*b509 + 162*b287*b510 + 18*b287*b511 + 222*b287*b512 + 594*b287*
    b513 + 534*b287*b514 + 348*b287*b515 + 462*b287*b516 + 42*b287*b517 + 210*
    b287*b518 + 522*b287*b519 + 198*b287*b520 + 288*b287*b521 + 402*b287*b522
     + 456*b287*b523 + 498*b287*b524 + 12*b287*b525 + 366*b287*b526 + 576*b287*
    b527 + 168*b287*b528 + 6*b287*b530 + 13440*b287*b531 + 7040*b287*b532 + 
    15200*b287*b533 + 15456*b287*b534 + 8096*b287*b535 + 17480*b287*b536 + 9744
    *b287*b537 + 5104*b287*b538 + 11020*b287*b539 + 7560*b287*b540 + 3960*b287*
    b541 + 8550*b287*b542 + 4536*b287*b543 + 2376*b287*b544 + 5130*b287*b545 + 
    14448*b287*b546 + 7568*b287*b547 + 16340*b287*b548 + 16296*b287*b549 + 8536
    *b287*b550 + 18430*b287*b551 + 7560*b287*b552 + 3960*b287*b553 + 8550*b287*
    b554 + 3696*b287*b555 + 1936*b287*b556 + 4180*b287*b557 + 13272*b287*b558
     + 6952*b287*b559 + 15010*b287*b560 + 4032*b287*b561 + 2112*b287*b562 + 
    4560*b287*b563 + 2856*b287*b567 + 1496*b287*b568 + 3230*b287*b569 + 9744*
    b287*b570 + 5104*b287*b571 + 11020*b287*b572 + 16632*b287*b573 + 8712*b287*
    b574 + 18810*b287*b575 + 15120*b287*b576 + 7920*b287*b577 + 17100*b287*b578
     + 11760*b287*b579 + 6160*b287*b580 + 13300*b287*b581 + 2856*b287*b582 + 
    1496*b287*b583 + 3230*b287*b584 + 9576*b287*b585 + 5016*b287*b586 + 10830*
    b287*b587 + 6216*b287*b588 + 3256*b287*b589 + 7030*b287*b590 + 336*b287*
    b591 + 176*b287*b592 + 380*b287*b593 + 6216*b287*b594 + 3256*b287*b595 + 
    7030*b287*b596 + 504*b287*b597 + 264*b287*b598 + 570*b287*b599 + 756*b287*
    b600 + 84*b287*b601 + 1036*b287*b602 + 2772*b287*b603 + 2492*b287*b604 + 
    1624*b287*b605 + 2156*b287*b606 + 196*b287*b607 + 980*b287*b608 + 2436*b287
    *b609 + 924*b287*b610 + 1344*b287*b611 + 1876*b287*b612 + 2128*b287*b613 + 
    1232*b287*b614 + 2324*b287*b615 + 56*b287*b616 + 1708*b287*b617 + 2688*b287
    *b618 + 784*b287*b619 + 28*b287*b621 + 2660*b287*b622 + 588*b287*b623 + 
    15624*b287*b624 + 8184*b287*b625 + 17670*b287*b626 + 2414*b288*b289 + 2890*
    b288*b290 + 1632*b288*b291 + 884*b288*b292 + 2040*b288*b293 + 1496*b288*
    b294 + 1020*b288*b295 + 1700*b288*b296 + 1666*b288*b297 + 102*b288*b298 + 
    2312*b288*b299 + 1190*b288*b300 + 2108*b288*b301 + 1326*b288*b302 + 2244*
    b288*b303 + 3094*b288*b304 + 1462*b288*b305 + 170*b288*b306 + 2788*b288*
    b307 + 1054*b288*b308 + 34*b288*b309 + 8236*b288*b311 + 9860*b288*b312 + 
    5568*b288*b313 + 3016*b288*b314 + 6960*b288*b315 + 5104*b288*b316 + 3480*
    b288*b317 + 5800*b288*b318 + 5684*b288*b319 + 348*b288*b320 + 7888*b288*
    b321 + 4060*b288*b322 + 7192*b288*b323 + 4524*b288*b324 + 7656*b288*b325 + 
    10556*b288*b326 + 4988*b288*b327 + 580*b288*b328 + 9512*b288*b329 + 3596*
    b288*b330 + 116*b288*b331 + 14058*b288*b333 + 16830*b288*b334 + 9504*b288*
    b335 + 5148*b288*b336 + 11880*b288*b337 + 8712*b288*b338 + 5940*b288*b339
     + 9900*b288*b340 + 9702*b288*b341 + 594*b288*b342 + 13464*b288*b343 + 6930
    *b288*b344 + 12276*b288*b345 + 7722*b288*b346 + 13068*b288*b347 + 18018*
    b288*b348 + 8514*b288*b349 + 990*b288*b350 + 16236*b288*b351 + 6138*b288*
    b352 + 198*b288*b353 + 12780*b288*b355 + 15300*b288*b356 + 8640*b288*b357
     + 4680*b288*b358 + 10800*b288*b359 + 7920*b288*b360 + 5400*b288*b361 + 
    9000*b288*b362 + 8820*b288*b363 + 540*b288*b364 + 12240*b288*b365 + 6300*
    b288*b366 + 11160*b288*b367 + 7020*b288*b368 + 11880*b288*b369 + 16380*b288
    *b370 + 7740*b288*b371 + 900*b288*b372 + 14760*b288*b373 + 5580*b288*b374
     + 180*b288*b375 + 9940*b288*b377 + 11900*b288*b378 + 6720*b288*b379 + 3640
    *b288*b380 + 8400*b288*b381 + 6160*b288*b382 + 4200*b288*b383 + 7000*b288*
    b384 + 6860*b288*b385 + 420*b288*b386 + 9520*b288*b387 + 4900*b288*b388 + 
    8680*b288*b389 + 5460*b288*b390 + 9240*b288*b391 + 12740*b288*b392 + 6020*
    b288*b393 + 700*b288*b394 + 11480*b288*b395 + 4340*b288*b396 + 140*b288*
    b397 + 2414*b288*b399 + 2890*b288*b400 + 1632*b288*b401 + 884*b288*b402 + 
    2040*b288*b403 + 1496*b288*b404 + 1020*b288*b405 + 1700*b288*b406 + 1666*
    b288*b407 + 102*b288*b408 + 2312*b288*b409 + 1190*b288*b410 + 2108*b288*
    b411 + 1326*b288*b412 + 2244*b288*b413 + 3094*b288*b414 + 1462*b288*b415 + 
    170*b288*b416 + 2788*b288*b417 + 1054*b288*b418 + 34*b288*b419 + 8094*b288*
    b421 + 9690*b288*b422 + 5472*b288*b423 + 2964*b288*b424 + 6840*b288*b425 + 
    5016*b288*b426 + 3420*b288*b427 + 5700*b288*b428 + 5586*b288*b429 + 342*
    b288*b430 + 7752*b288*b431 + 3990*b288*b432 + 7068*b288*b433 + 4446*b288*
    b434 + 7524*b288*b435 + 10374*b288*b436 + 4902*b288*b437 + 570*b288*b438 + 
    9348*b288*b439 + 3534*b288*b440 + 114*b288*b441 + 5254*b288*b443 + 6290*
    b288*b444 + 3552*b288*b445 + 1924*b288*b446 + 4440*b288*b447 + 3256*b288*
    b448 + 2220*b288*b449 + 3700*b288*b450 + 3626*b288*b451 + 222*b288*b452 + 
    5032*b288*b453 + 2590*b288*b454 + 4588*b288*b455 + 2886*b288*b456 + 4884*
    b288*b457 + 6734*b288*b458 + 3182*b288*b459 + 370*b288*b460 + 6068*b288*
    b461 + 2294*b288*b462 + 74*b288*b463 + 284*b288*b465 + 340*b288*b466 + 192*
    b288*b467 + 104*b288*b468 + 240*b288*b469 + 176*b288*b470 + 120*b288*b471
     + 200*b288*b472 + 196*b288*b473 + 12*b288*b474 + 272*b288*b475 + 140*b288*
    b476 + 248*b288*b477 + 156*b288*b478 + 264*b288*b479 + 364*b288*b480 + 172*
    b288*b481 + 20*b288*b482 + 328*b288*b483 + 124*b288*b484 + 4*b288*b485 + 
    5254*b288*b487 + 6290*b288*b488 + 3552*b288*b489 + 1924*b288*b490 + 4440*
    b288*b491 + 3256*b288*b492 + 2220*b288*b493 + 3700*b288*b494 + 3626*b288*
    b495 + 222*b288*b496 + 5032*b288*b497 + 2590*b288*b498 + 4588*b288*b499 + 
    2886*b288*b500 + 4884*b288*b501 + 6734*b288*b502 + 3182*b288*b503 + 370*
    b288*b504 + 6068*b288*b505 + 2294*b288*b506 + 74*b288*b507 + 426*b288*b509
     + 510*b288*b510 + 288*b288*b511 + 156*b288*b512 + 360*b288*b513 + 264*b288
    *b514 + 180*b288*b515 + 300*b288*b516 + 294*b288*b517 + 18*b288*b518 + 408*
    b288*b519 + 210*b288*b520 + 372*b288*b521 + 234*b288*b522 + 396*b288*b523
     + 546*b288*b524 + 258*b288*b525 + 30*b288*b526 + 492*b288*b527 + 186*b288*
    b528 + 6*b288*b529 + 1920*b288*b531 + 4160*b288*b532 + 1120*b288*b533 + 
    2208*b288*b534 + 4784*b288*b535 + 1288*b288*b536 + 1392*b288*b537 + 3016*
    b288*b538 + 812*b288*b539 + 1080*b288*b540 + 2340*b288*b541 + 630*b288*b542
     + 648*b288*b543 + 1404*b288*b544 + 378*b288*b545 + 2064*b288*b546 + 4472*
    b288*b547 + 1204*b288*b548 + 2328*b288*b549 + 5044*b288*b550 + 1358*b288*
    b551 + 1080*b288*b552 + 2340*b288*b553 + 630*b288*b554 + 528*b288*b555 + 
    1144*b288*b556 + 308*b288*b557 + 1896*b288*b558 + 4108*b288*b559 + 1106*
    b288*b560 + 576*b288*b561 + 1248*b288*b562 + 336*b288*b563 + 408*b288*b567
     + 884*b288*b568 + 238*b288*b569 + 1392*b288*b570 + 3016*b288*b571 + 812*
    b288*b572 + 2376*b288*b573 + 5148*b288*b574 + 1386*b288*b575 + 2160*b288*
    b576 + 4680*b288*b577 + 1260*b288*b578 + 1680*b288*b579 + 3640*b288*b580 + 
    980*b288*b581 + 408*b288*b582 + 884*b288*b583 + 238*b288*b584 + 1368*b288*
    b585 + 2964*b288*b586 + 798*b288*b587 + 888*b288*b588 + 1924*b288*b589 + 
    518*b288*b590 + 48*b288*b591 + 104*b288*b592 + 28*b288*b593 + 888*b288*b594
     + 1924*b288*b595 + 518*b288*b596 + 72*b288*b597 + 156*b288*b598 + 42*b288*
    b599 + 2380*b288*b600 + 1344*b288*b601 + 728*b288*b602 + 1680*b288*b603 + 
    1232*b288*b604 + 840*b288*b605 + 1400*b288*b606 + 1372*b288*b607 + 84*b288*
    b608 + 1904*b288*b609 + 980*b288*b610 + 1736*b288*b611 + 1092*b288*b612 + 
    1848*b288*b613 + 728*b288*b614 + 2548*b288*b615 + 1204*b288*b616 + 140*b288
    *b617 + 2296*b288*b618 + 868*b288*b619 + 28*b288*b620 + 196*b288*b622 + 
    1988*b288*b623 + 2232*b288*b624 + 4836*b288*b625 + 1302*b288*b626 + 2236*
    b289*b312 + 7826*b289*b313 + 946*b289*b314 + 3010*b289*b315 + 7052*b289*
    b316 + 2236*b289*b317 + 5934*b289*b318 + 4816*b289*b319 + 7396*b289*b320 + 
    3870*b289*b321 + 7826*b289*b322 + 5074*b289*b323 + 1548*b289*b324 + 6536*
    b289*b325 + 1548*b289*b326 + 4902*b289*b327 + 3096*b289*b328 + 5246*b289*
    b329 + 3096*b289*b330 + 1806*b289*b331 + 6106*b289*b332 + 1040*b289*b334 + 
    3640*b289*b335 + 440*b289*b336 + 1400*b289*b337 + 3280*b289*b338 + 1040*
    b289*b339 + 2760*b289*b340 + 2240*b289*b341 + 3440*b289*b342 + 1800*b289*
    b343 + 3640*b289*b344 + 2360*b289*b345 + 720*b289*b346 + 3040*b289*b347 + 
    720*b289*b348 + 2280*b289*b349 + 1440*b289*b350 + 2440*b289*b351 + 1440*
    b289*b352 + 840*b289*b353 + 2840*b289*b354 + 3536*b289*b356 + 12376*b289*
    b357 + 1496*b289*b358 + 4760*b289*b359 + 11152*b289*b360 + 3536*b289*b361
     + 9384*b289*b362 + 7616*b289*b363 + 11696*b289*b364 + 6120*b289*b365 + 
    12376*b289*b366 + 8024*b289*b367 + 2448*b289*b368 + 10336*b289*b369 + 2448*
    b289*b370 + 7752*b289*b371 + 4896*b289*b372 + 8296*b289*b373 + 4896*b289*
    b374 + 2856*b289*b375 + 9656*b289*b376 + 1820*b289*b378 + 6370*b289*b379 + 
    770*b289*b380 + 2450*b289*b381 + 5740*b289*b382 + 1820*b289*b383 + 4830*
    b289*b384 + 3920*b289*b385 + 6020*b289*b386 + 3150*b289*b387 + 6370*b289*
    b388 + 4130*b289*b389 + 1260*b289*b390 + 5320*b289*b391 + 1260*b289*b392 + 
    3990*b289*b393 + 2520*b289*b394 + 4270*b289*b395 + 2520*b289*b396 + 1470*
    b289*b397 + 4970*b289*b398 + 3120*b289*b400 + 10920*b289*b401 + 1320*b289*
    b402 + 4200*b289*b403 + 9840*b289*b404 + 3120*b289*b405 + 8280*b289*b406 + 
    6720*b289*b407 + 10320*b289*b408 + 5400*b289*b409 + 10920*b289*b410 + 7080*
    b289*b411 + 2160*b289*b412 + 9120*b289*b413 + 2160*b289*b414 + 6840*b289*
    b415 + 4320*b289*b416 + 7320*b289*b417 + 4320*b289*b418 + 2520*b289*b419 + 
    8520*b289*b420 + 1196*b289*b422 + 4186*b289*b423 + 506*b289*b424 + 1610*
    b289*b425 + 3772*b289*b426 + 1196*b289*b427 + 3174*b289*b428 + 2576*b289*
    b429 + 3956*b289*b430 + 2070*b289*b431 + 4186*b289*b432 + 2714*b289*b433 + 
    828*b289*b434 + 3496*b289*b435 + 828*b289*b436 + 2622*b289*b437 + 1656*b289
    *b438 + 2806*b289*b439 + 1656*b289*b440 + 966*b289*b441 + 3266*b289*b442 + 
    2496*b289*b444 + 8736*b289*b445 + 1056*b289*b446 + 3360*b289*b447 + 7872*
    b289*b448 + 2496*b289*b449 + 6624*b289*b450 + 5376*b289*b451 + 8256*b289*
    b452 + 4320*b289*b453 + 8736*b289*b454 + 5664*b289*b455 + 1728*b289*b456 + 
    7296*b289*b457 + 1728*b289*b458 + 5472*b289*b459 + 3456*b289*b460 + 5856*
    b289*b461 + 3456*b289*b462 + 2016*b289*b463 + 6816*b289*b464 + 2080*b289*
    b466 + 7280*b289*b467 + 880*b289*b468 + 2800*b289*b469 + 6560*b289*b470 + 
    2080*b289*b471 + 5520*b289*b472 + 4480*b289*b473 + 6880*b289*b474 + 3600*
    b289*b475 + 7280*b289*b476 + 4720*b289*b477 + 1440*b289*b478 + 6080*b289*
    b479 + 1440*b289*b480 + 4560*b289*b481 + 2880*b289*b482 + 4880*b289*b483 + 
    2880*b289*b484 + 1680*b289*b485 + 5680*b289*b486 + 520*b289*b488 + 1820*
    b289*b489 + 220*b289*b490 + 700*b289*b491 + 1640*b289*b492 + 520*b289*b493
     + 1380*b289*b494 + 1120*b289*b495 + 1720*b289*b496 + 900*b289*b497 + 1820*
    b289*b498 + 1180*b289*b499 + 360*b289*b500 + 1520*b289*b501 + 360*b289*b502
     + 1140*b289*b503 + 720*b289*b504 + 1220*b289*b505 + 720*b289*b506 + 420*
    b289*b507 + 1420*b289*b508 + 2184*b289*b510 + 7644*b289*b511 + 924*b289*
    b512 + 2940*b289*b513 + 6888*b289*b514 + 2184*b289*b515 + 5796*b289*b516 + 
    4704*b289*b517 + 7224*b289*b518 + 3780*b289*b519 + 7644*b289*b520 + 4956*
    b289*b521 + 1512*b289*b522 + 6384*b289*b523 + 1512*b289*b524 + 4788*b289*
    b525 + 3024*b289*b526 + 5124*b289*b527 + 3024*b289*b528 + 1764*b289*b529 + 
    5964*b289*b530 + 42*b289*b531 + 78*b289*b532 + 22*b289*b533 + 1428*b289*
    b534 + 2652*b289*b535 + 748*b289*b536 + 2604*b289*b537 + 4836*b289*b538 + 
    1364*b289*b539 + 756*b289*b540 + 1404*b289*b541 + 396*b289*b542 + 2352*b289
    *b543 + 4368*b289*b544 + 1232*b289*b545 + 2814*b289*b546 + 5226*b289*b547
     + 1474*b289*b548 + 1596*b289*b549 + 2964*b289*b550 + 836*b289*b551 + 2352*
    b289*b552 + 4368*b289*b553 + 1232*b289*b554 + 1386*b289*b555 + 2574*b289*
    b556 + 726*b289*b557 + 2940*b289*b558 + 5460*b289*b559 + 1540*b289*b560 + 
    3948*b289*b561 + 7332*b289*b562 + 2068*b289*b563 + 714*b289*b564 + 1326*
    b289*b565 + 374*b289*b566 + 1806*b289*b570 + 3354*b289*b571 + 946*b289*b572
     + 840*b289*b573 + 1560*b289*b574 + 440*b289*b575 + 2856*b289*b576 + 5304*
    b289*b577 + 1496*b289*b578 + 1470*b289*b579 + 2730*b289*b580 + 770*b289*
    b581 + 2520*b289*b582 + 4680*b289*b583 + 1320*b289*b584 + 966*b289*b585 + 
    1794*b289*b586 + 506*b289*b587 + 2016*b289*b588 + 3744*b289*b589 + 1056*
    b289*b590 + 1680*b289*b591 + 3120*b289*b592 + 880*b289*b593 + 420*b289*b594
     + 780*b289*b595 + 220*b289*b596 + 1764*b289*b597 + 3276*b289*b598 + 924*
    b289*b599 + 1040*b289*b600 + 3640*b289*b601 + 440*b289*b602 + 1400*b289*
    b603 + 3280*b289*b604 + 1040*b289*b605 + 2760*b289*b606 + 2240*b289*b607 + 
    3440*b289*b608 + 1800*b289*b609 + 3640*b289*b610 + 2360*b289*b611 + 720*
    b289*b612 + 3040*b289*b613 + 1560*b289*b614 + 720*b289*b615 + 2280*b289*
    b616 + 1440*b289*b617 + 2440*b289*b618 + 1440*b289*b619 + 840*b289*b620 + 
    2840*b289*b621 + 440*b289*b622 + 3906*b289*b624 + 7254*b289*b625 + 2046*
    b289*b626 + 2236*b290*b311 + 2494*b290*b313 + 7052*b290*b314 + 7052*b290*
    b315 + 516*b290*b316 + 6106*b290*b317 + 688*b290*b318 + 6622*b290*b319 + 
    6364*b290*b320 + 2580*b290*b321 + 7654*b290*b322 + 6536*b290*b323 + 6536*
    b290*b324 + 3440*b290*b325 + 4816*b290*b326 + 86*b290*b327 + 4300*b290*b328
     + 344*b290*b329 + 3096*b290*b330 + 2322*b290*b331 + 7310*b290*b332 + 1040*
    b290*b333 + 1160*b290*b335 + 3280*b290*b336 + 3280*b290*b337 + 240*b290*
    b338 + 2840*b290*b339 + 320*b290*b340 + 3080*b290*b341 + 2960*b290*b342 + 
    1200*b290*b343 + 3560*b290*b344 + 3040*b290*b345 + 3040*b290*b346 + 1600*
    b290*b347 + 2240*b290*b348 + 40*b290*b349 + 2000*b290*b350 + 160*b290*b351
     + 1440*b290*b352 + 1080*b290*b353 + 3400*b290*b354 + 3536*b290*b355 + 3944
    *b290*b357 + 11152*b290*b358 + 11152*b290*b359 + 816*b290*b360 + 9656*b290*
    b361 + 1088*b290*b362 + 10472*b290*b363 + 10064*b290*b364 + 4080*b290*b365
     + 12104*b290*b366 + 10336*b290*b367 + 10336*b290*b368 + 5440*b290*b369 + 
    7616*b290*b370 + 136*b290*b371 + 6800*b290*b372 + 544*b290*b373 + 4896*b290
    *b374 + 3672*b290*b375 + 11560*b290*b376 + 1820*b290*b377 + 2030*b290*b379
     + 5740*b290*b380 + 5740*b290*b381 + 420*b290*b382 + 4970*b290*b383 + 560*
    b290*b384 + 5390*b290*b385 + 5180*b290*b386 + 2100*b290*b387 + 6230*b290*
    b388 + 5320*b290*b389 + 5320*b290*b390 + 2800*b290*b391 + 3920*b290*b392 + 
    70*b290*b393 + 3500*b290*b394 + 280*b290*b395 + 2520*b290*b396 + 1890*b290*
    b397 + 5950*b290*b398 + 3120*b290*b399 + 3480*b290*b401 + 9840*b290*b402 + 
    9840*b290*b403 + 720*b290*b404 + 8520*b290*b405 + 960*b290*b406 + 9240*b290
    *b407 + 8880*b290*b408 + 3600*b290*b409 + 10680*b290*b410 + 9120*b290*b411
     + 9120*b290*b412 + 4800*b290*b413 + 6720*b290*b414 + 120*b290*b415 + 6000*
    b290*b416 + 480*b290*b417 + 4320*b290*b418 + 3240*b290*b419 + 10200*b290*
    b420 + 1196*b290*b421 + 1334*b290*b423 + 3772*b290*b424 + 3772*b290*b425 + 
    276*b290*b426 + 3266*b290*b427 + 368*b290*b428 + 3542*b290*b429 + 3404*b290
    *b430 + 1380*b290*b431 + 4094*b290*b432 + 3496*b290*b433 + 3496*b290*b434
     + 1840*b290*b435 + 2576*b290*b436 + 46*b290*b437 + 2300*b290*b438 + 184*
    b290*b439 + 1656*b290*b440 + 1242*b290*b441 + 3910*b290*b442 + 2496*b290*
    b443 + 2784*b290*b445 + 7872*b290*b446 + 7872*b290*b447 + 576*b290*b448 + 
    6816*b290*b449 + 768*b290*b450 + 7392*b290*b451 + 7104*b290*b452 + 2880*
    b290*b453 + 8544*b290*b454 + 7296*b290*b455 + 7296*b290*b456 + 3840*b290*
    b457 + 5376*b290*b458 + 96*b290*b459 + 4800*b290*b460 + 384*b290*b461 + 
    3456*b290*b462 + 2592*b290*b463 + 8160*b290*b464 + 2080*b290*b465 + 2320*
    b290*b467 + 6560*b290*b468 + 6560*b290*b469 + 480*b290*b470 + 5680*b290*
    b471 + 640*b290*b472 + 6160*b290*b473 + 5920*b290*b474 + 2400*b290*b475 + 
    7120*b290*b476 + 6080*b290*b477 + 6080*b290*b478 + 3200*b290*b479 + 4480*
    b290*b480 + 80*b290*b481 + 4000*b290*b482 + 320*b290*b483 + 2880*b290*b484
     + 2160*b290*b485 + 6800*b290*b486 + 520*b290*b487 + 580*b290*b489 + 1640*
    b290*b490 + 1640*b290*b491 + 120*b290*b492 + 1420*b290*b493 + 160*b290*b494
     + 1540*b290*b495 + 1480*b290*b496 + 600*b290*b497 + 1780*b290*b498 + 1520*
    b290*b499 + 1520*b290*b500 + 800*b290*b501 + 1120*b290*b502 + 20*b290*b503
     + 1000*b290*b504 + 80*b290*b505 + 720*b290*b506 + 540*b290*b507 + 1700*
    b290*b508 + 2184*b290*b509 + 2436*b290*b511 + 6888*b290*b512 + 6888*b290*
    b513 + 504*b290*b514 + 5964*b290*b515 + 672*b290*b516 + 6468*b290*b517 + 
    6216*b290*b518 + 2520*b290*b519 + 7476*b290*b520 + 6384*b290*b521 + 6384*
    b290*b522 + 3360*b290*b523 + 4704*b290*b524 + 84*b290*b525 + 4200*b290*b526
     + 336*b290*b527 + 3024*b290*b528 + 2268*b290*b529 + 7140*b290*b530 + 190*
    b290*b531 + 186*b290*b532 + 4*b290*b533 + 6460*b290*b534 + 6324*b290*b535
     + 136*b290*b536 + 11780*b290*b537 + 11532*b290*b538 + 248*b290*b539 + 3420
    *b290*b540 + 3348*b290*b541 + 72*b290*b542 + 10640*b290*b543 + 10416*b290*
    b544 + 224*b290*b545 + 12730*b290*b546 + 12462*b290*b547 + 268*b290*b548 + 
    7220*b290*b549 + 7068*b290*b550 + 152*b290*b551 + 10640*b290*b552 + 10416*
    b290*b553 + 224*b290*b554 + 6270*b290*b555 + 6138*b290*b556 + 132*b290*b557
     + 13300*b290*b558 + 13020*b290*b559 + 280*b290*b560 + 17860*b290*b561 + 
    17484*b290*b562 + 376*b290*b563 + 3230*b290*b564 + 3162*b290*b565 + 68*b290
    *b566 + 8170*b290*b570 + 7998*b290*b571 + 172*b290*b572 + 3800*b290*b573 + 
    3720*b290*b574 + 80*b290*b575 + 12920*b290*b576 + 12648*b290*b577 + 272*
    b290*b578 + 6650*b290*b579 + 6510*b290*b580 + 140*b290*b581 + 11400*b290*
    b582 + 11160*b290*b583 + 240*b290*b584 + 4370*b290*b585 + 4278*b290*b586 + 
    92*b290*b587 + 9120*b290*b588 + 8928*b290*b589 + 192*b290*b590 + 7600*b290*
    b591 + 7440*b290*b592 + 160*b290*b593 + 1900*b290*b594 + 1860*b290*b595 + 
    40*b290*b596 + 7980*b290*b597 + 7812*b290*b598 + 168*b290*b599 + 1160*b290*
    b601 + 3280*b290*b602 + 3280*b290*b603 + 240*b290*b604 + 2840*b290*b605 + 
    320*b290*b606 + 3080*b290*b607 + 2960*b290*b608 + 1200*b290*b609 + 3560*
    b290*b610 + 3040*b290*b611 + 3040*b290*b612 + 1600*b290*b613 + 3720*b290*
    b614 + 2240*b290*b615 + 40*b290*b616 + 2000*b290*b617 + 160*b290*b618 + 
    1440*b290*b619 + 1080*b290*b620 + 3400*b290*b621 + 80*b290*b622 + 1040*b290
    *b623 + 17670*b290*b624 + 17298*b290*b625 + 372*b290*b626 + 7826*b291*b311
     + 2494*b291*b312 + 86*b291*b314 + 1290*b291*b315 + 946*b291*b316 + 3010*
    b291*b317 + 946*b291*b318 + 1720*b291*b319 + 1806*b291*b320 + 5246*b291*
    b321 + 6880*b291*b322 + 4988*b291*b323 + 1806*b291*b324 + 6536*b291*b325 + 
    3784*b291*b326 + 7310*b291*b327 + 8084*b291*b328 + 7740*b291*b329 + 4386*
    b291*b330 + 258*b291*b331 + 4128*b291*b332 + 3640*b291*b333 + 1160*b291*
    b334 + 40*b291*b336 + 600*b291*b337 + 440*b291*b338 + 1400*b291*b339 + 440*
    b291*b340 + 800*b291*b341 + 840*b291*b342 + 2440*b291*b343 + 3200*b291*b344
     + 2320*b291*b345 + 840*b291*b346 + 3040*b291*b347 + 1760*b291*b348 + 3400*
    b291*b349 + 3760*b291*b350 + 3600*b291*b351 + 2040*b291*b352 + 120*b291*
    b353 + 1920*b291*b354 + 12376*b291*b355 + 3944*b291*b356 + 136*b291*b358 + 
    2040*b291*b359 + 1496*b291*b360 + 4760*b291*b361 + 1496*b291*b362 + 2720*
    b291*b363 + 2856*b291*b364 + 8296*b291*b365 + 10880*b291*b366 + 7888*b291*
    b367 + 2856*b291*b368 + 10336*b291*b369 + 5984*b291*b370 + 11560*b291*b371
     + 12784*b291*b372 + 12240*b291*b373 + 6936*b291*b374 + 408*b291*b375 + 
    6528*b291*b376 + 6370*b291*b377 + 2030*b291*b378 + 70*b291*b380 + 1050*b291
    *b381 + 770*b291*b382 + 2450*b291*b383 + 770*b291*b384 + 1400*b291*b385 + 
    1470*b291*b386 + 4270*b291*b387 + 5600*b291*b388 + 4060*b291*b389 + 1470*
    b291*b390 + 5320*b291*b391 + 3080*b291*b392 + 5950*b291*b393 + 6580*b291*
    b394 + 6300*b291*b395 + 3570*b291*b396 + 210*b291*b397 + 3360*b291*b398 + 
    10920*b291*b399 + 3480*b291*b400 + 120*b291*b402 + 1800*b291*b403 + 1320*
    b291*b404 + 4200*b291*b405 + 1320*b291*b406 + 2400*b291*b407 + 2520*b291*
    b408 + 7320*b291*b409 + 9600*b291*b410 + 6960*b291*b411 + 2520*b291*b412 + 
    9120*b291*b413 + 5280*b291*b414 + 10200*b291*b415 + 11280*b291*b416 + 10800
    *b291*b417 + 6120*b291*b418 + 360*b291*b419 + 5760*b291*b420 + 4186*b291*
    b421 + 1334*b291*b422 + 46*b291*b424 + 690*b291*b425 + 506*b291*b426 + 1610
    *b291*b427 + 506*b291*b428 + 920*b291*b429 + 966*b291*b430 + 2806*b291*b431
     + 3680*b291*b432 + 2668*b291*b433 + 966*b291*b434 + 3496*b291*b435 + 2024*
    b291*b436 + 3910*b291*b437 + 4324*b291*b438 + 4140*b291*b439 + 2346*b291*
    b440 + 138*b291*b441 + 2208*b291*b442 + 8736*b291*b443 + 2784*b291*b444 + 
    96*b291*b446 + 1440*b291*b447 + 1056*b291*b448 + 3360*b291*b449 + 1056*b291
    *b450 + 1920*b291*b451 + 2016*b291*b452 + 5856*b291*b453 + 7680*b291*b454
     + 5568*b291*b455 + 2016*b291*b456 + 7296*b291*b457 + 4224*b291*b458 + 8160
    *b291*b459 + 9024*b291*b460 + 8640*b291*b461 + 4896*b291*b462 + 288*b291*
    b463 + 4608*b291*b464 + 7280*b291*b465 + 2320*b291*b466 + 80*b291*b468 + 
    1200*b291*b469 + 880*b291*b470 + 2800*b291*b471 + 880*b291*b472 + 1600*b291
    *b473 + 1680*b291*b474 + 4880*b291*b475 + 6400*b291*b476 + 4640*b291*b477
     + 1680*b291*b478 + 6080*b291*b479 + 3520*b291*b480 + 6800*b291*b481 + 7520
    *b291*b482 + 7200*b291*b483 + 4080*b291*b484 + 240*b291*b485 + 3840*b291*
    b486 + 1820*b291*b487 + 580*b291*b488 + 20*b291*b490 + 300*b291*b491 + 220*
    b291*b492 + 700*b291*b493 + 220*b291*b494 + 400*b291*b495 + 420*b291*b496
     + 1220*b291*b497 + 1600*b291*b498 + 1160*b291*b499 + 420*b291*b500 + 1520*
    b291*b501 + 880*b291*b502 + 1700*b291*b503 + 1880*b291*b504 + 1800*b291*
    b505 + 1020*b291*b506 + 60*b291*b507 + 960*b291*b508 + 7644*b291*b509 + 
    2436*b291*b510 + 84*b291*b512 + 1260*b291*b513 + 924*b291*b514 + 2940*b291*
    b515 + 924*b291*b516 + 1680*b291*b517 + 1764*b291*b518 + 5124*b291*b519 + 
    6720*b291*b520 + 4872*b291*b521 + 1764*b291*b522 + 6384*b291*b523 + 3696*
    b291*b524 + 7140*b291*b525 + 7896*b291*b526 + 7560*b291*b527 + 4284*b291*
    b528 + 252*b291*b529 + 4032*b291*b530 + 164*b291*b531 + 144*b291*b532 + 58*
    b291*b533 + 5576*b291*b534 + 4896*b291*b535 + 1972*b291*b536 + 10168*b291*
    b537 + 8928*b291*b538 + 3596*b291*b539 + 2952*b291*b540 + 2592*b291*b541 + 
    1044*b291*b542 + 9184*b291*b543 + 8064*b291*b544 + 3248*b291*b545 + 10988*
    b291*b546 + 9648*b291*b547 + 3886*b291*b548 + 6232*b291*b549 + 5472*b291*
    b550 + 2204*b291*b551 + 9184*b291*b552 + 8064*b291*b553 + 3248*b291*b554 + 
    5412*b291*b555 + 4752*b291*b556 + 1914*b291*b557 + 11480*b291*b558 + 10080*
    b291*b559 + 4060*b291*b560 + 15416*b291*b561 + 13536*b291*b562 + 5452*b291*
    b563 + 2788*b291*b564 + 2448*b291*b565 + 986*b291*b566 + 7052*b291*b570 + 
    6192*b291*b571 + 2494*b291*b572 + 3280*b291*b573 + 2880*b291*b574 + 1160*
    b291*b575 + 11152*b291*b576 + 9792*b291*b577 + 3944*b291*b578 + 5740*b291*
    b579 + 5040*b291*b580 + 2030*b291*b581 + 9840*b291*b582 + 8640*b291*b583 + 
    3480*b291*b584 + 3772*b291*b585 + 3312*b291*b586 + 1334*b291*b587 + 7872*
    b291*b588 + 6912*b291*b589 + 2784*b291*b590 + 6560*b291*b591 + 5760*b291*
    b592 + 2320*b291*b593 + 1640*b291*b594 + 1440*b291*b595 + 580*b291*b596 + 
    6888*b291*b597 + 6048*b291*b598 + 2436*b291*b599 + 1160*b291*b600 + 40*b291
    *b602 + 600*b291*b603 + 440*b291*b604 + 1400*b291*b605 + 440*b291*b606 + 
    800*b291*b607 + 840*b291*b608 + 2440*b291*b609 + 3200*b291*b610 + 2320*b291
    *b611 + 840*b291*b612 + 3040*b291*b613 + 2880*b291*b614 + 1760*b291*b615 + 
    3400*b291*b616 + 3760*b291*b617 + 3600*b291*b618 + 2040*b291*b619 + 120*
    b291*b620 + 1920*b291*b621 + 1160*b291*b622 + 3640*b291*b623 + 15252*b291*
    b624 + 13392*b291*b625 + 5394*b291*b626 + 946*b292*b311 + 7052*b292*b312 + 
    86*b292*b313 + 7740*b292*b315 + 5676*b292*b316 + 3526*b292*b317 + 1290*b292
    *b318 + 7138*b292*b319 + 8256*b292*b320 + 6364*b292*b321 + 3870*b292*b322
     + 5590*b292*b323 + 3440*b292*b324 + 4644*b292*b325 + 1204*b292*b326 + 6106
    *b292*b327 + 6622*b292*b328 + 3096*b292*b329 + 4558*b292*b330 + 3182*b292*
    b331 + 2236*b292*b332 + 440*b292*b333 + 3280*b292*b334 + 40*b292*b335 + 
    3600*b292*b337 + 2640*b292*b338 + 1640*b292*b339 + 600*b292*b340 + 3320*
    b292*b341 + 3840*b292*b342 + 2960*b292*b343 + 1800*b292*b344 + 2600*b292*
    b345 + 1600*b292*b346 + 2160*b292*b347 + 560*b292*b348 + 2840*b292*b349 + 
    3080*b292*b350 + 1440*b292*b351 + 2120*b292*b352 + 1480*b292*b353 + 1040*
    b292*b354 + 1496*b292*b355 + 11152*b292*b356 + 136*b292*b357 + 12240*b292*
    b359 + 8976*b292*b360 + 5576*b292*b361 + 2040*b292*b362 + 11288*b292*b363
     + 13056*b292*b364 + 10064*b292*b365 + 6120*b292*b366 + 8840*b292*b367 + 
    5440*b292*b368 + 7344*b292*b369 + 1904*b292*b370 + 9656*b292*b371 + 10472*
    b292*b372 + 4896*b292*b373 + 7208*b292*b374 + 5032*b292*b375 + 3536*b292*
    b376 + 770*b292*b377 + 5740*b292*b378 + 70*b292*b379 + 6300*b292*b381 + 
    4620*b292*b382 + 2870*b292*b383 + 1050*b292*b384 + 5810*b292*b385 + 6720*
    b292*b386 + 5180*b292*b387 + 3150*b292*b388 + 4550*b292*b389 + 2800*b292*
    b390 + 3780*b292*b391 + 980*b292*b392 + 4970*b292*b393 + 5390*b292*b394 + 
    2520*b292*b395 + 3710*b292*b396 + 2590*b292*b397 + 1820*b292*b398 + 1320*
    b292*b399 + 9840*b292*b400 + 120*b292*b401 + 10800*b292*b403 + 7920*b292*
    b404 + 4920*b292*b405 + 1800*b292*b406 + 9960*b292*b407 + 11520*b292*b408
     + 8880*b292*b409 + 5400*b292*b410 + 7800*b292*b411 + 4800*b292*b412 + 6480
    *b292*b413 + 1680*b292*b414 + 8520*b292*b415 + 9240*b292*b416 + 4320*b292*
    b417 + 6360*b292*b418 + 4440*b292*b419 + 3120*b292*b420 + 506*b292*b421 + 
    3772*b292*b422 + 46*b292*b423 + 4140*b292*b425 + 3036*b292*b426 + 1886*b292
    *b427 + 690*b292*b428 + 3818*b292*b429 + 4416*b292*b430 + 3404*b292*b431 + 
    2070*b292*b432 + 2990*b292*b433 + 1840*b292*b434 + 2484*b292*b435 + 644*
    b292*b436 + 3266*b292*b437 + 3542*b292*b438 + 1656*b292*b439 + 2438*b292*
    b440 + 1702*b292*b441 + 1196*b292*b442 + 1056*b292*b443 + 7872*b292*b444 + 
    96*b292*b445 + 8640*b292*b447 + 6336*b292*b448 + 3936*b292*b449 + 1440*b292
    *b450 + 7968*b292*b451 + 9216*b292*b452 + 7104*b292*b453 + 4320*b292*b454
     + 6240*b292*b455 + 3840*b292*b456 + 5184*b292*b457 + 1344*b292*b458 + 6816
    *b292*b459 + 7392*b292*b460 + 3456*b292*b461 + 5088*b292*b462 + 3552*b292*
    b463 + 2496*b292*b464 + 880*b292*b465 + 6560*b292*b466 + 80*b292*b467 + 
    7200*b292*b469 + 5280*b292*b470 + 3280*b292*b471 + 1200*b292*b472 + 6640*
    b292*b473 + 7680*b292*b474 + 5920*b292*b475 + 3600*b292*b476 + 5200*b292*
    b477 + 3200*b292*b478 + 4320*b292*b479 + 1120*b292*b480 + 5680*b292*b481 + 
    6160*b292*b482 + 2880*b292*b483 + 4240*b292*b484 + 2960*b292*b485 + 2080*
    b292*b486 + 220*b292*b487 + 1640*b292*b488 + 20*b292*b489 + 1800*b292*b491
     + 1320*b292*b492 + 820*b292*b493 + 300*b292*b494 + 1660*b292*b495 + 1920*
    b292*b496 + 1480*b292*b497 + 900*b292*b498 + 1300*b292*b499 + 800*b292*b500
     + 1080*b292*b501 + 280*b292*b502 + 1420*b292*b503 + 1540*b292*b504 + 720*
    b292*b505 + 1060*b292*b506 + 740*b292*b507 + 520*b292*b508 + 924*b292*b509
     + 6888*b292*b510 + 84*b292*b511 + 7560*b292*b513 + 5544*b292*b514 + 3444*
    b292*b515 + 1260*b292*b516 + 6972*b292*b517 + 8064*b292*b518 + 6216*b292*
    b519 + 3780*b292*b520 + 5460*b292*b521 + 3360*b292*b522 + 4536*b292*b523 + 
    1176*b292*b524 + 5964*b292*b525 + 6468*b292*b526 + 3024*b292*b527 + 4452*
    b292*b528 + 3108*b292*b529 + 2184*b292*b530 + 112*b292*b531 + 166*b292*b532
     + 174*b292*b533 + 3808*b292*b534 + 5644*b292*b535 + 5916*b292*b536 + 6944*
    b292*b537 + 10292*b292*b538 + 10788*b292*b539 + 2016*b292*b540 + 2988*b292*
    b541 + 3132*b292*b542 + 6272*b292*b543 + 9296*b292*b544 + 9744*b292*b545 + 
    7504*b292*b546 + 11122*b292*b547 + 11658*b292*b548 + 4256*b292*b549 + 6308*
    b292*b550 + 6612*b292*b551 + 6272*b292*b552 + 9296*b292*b553 + 9744*b292*
    b554 + 3696*b292*b555 + 5478*b292*b556 + 5742*b292*b557 + 7840*b292*b558 + 
    11620*b292*b559 + 12180*b292*b560 + 10528*b292*b561 + 15604*b292*b562 + 
    16356*b292*b563 + 1904*b292*b564 + 2822*b292*b565 + 2958*b292*b566 + 4816*
    b292*b570 + 7138*b292*b571 + 7482*b292*b572 + 2240*b292*b573 + 3320*b292*
    b574 + 3480*b292*b575 + 7616*b292*b576 + 11288*b292*b577 + 11832*b292*b578
     + 3920*b292*b579 + 5810*b292*b580 + 6090*b292*b581 + 6720*b292*b582 + 9960
    *b292*b583 + 10440*b292*b584 + 2576*b292*b585 + 3818*b292*b586 + 4002*b292*
    b587 + 5376*b292*b588 + 7968*b292*b589 + 8352*b292*b590 + 4480*b292*b591 + 
    6640*b292*b592 + 6960*b292*b593 + 1120*b292*b594 + 1660*b292*b595 + 1740*
    b292*b596 + 4704*b292*b597 + 6972*b292*b598 + 7308*b292*b599 + 3280*b292*
    b600 + 40*b292*b601 + 3600*b292*b603 + 2640*b292*b604 + 1640*b292*b605 + 
    600*b292*b606 + 3320*b292*b607 + 3840*b292*b608 + 2960*b292*b609 + 1800*
    b292*b610 + 2600*b292*b611 + 1600*b292*b612 + 2160*b292*b613 + 3320*b292*
    b614 + 560*b292*b615 + 2840*b292*b616 + 3080*b292*b617 + 1440*b292*b618 + 
    2120*b292*b619 + 1480*b292*b620 + 1040*b292*b621 + 3480*b292*b622 + 440*
    b292*b623 + 10416*b292*b624 + 15438*b292*b625 + 16182*b292*b626 + 3010*b293
    *b311 + 7052*b293*b312 + 1290*b293*b313 + 7740*b293*b314 + 6536*b293*b316
     + 7826*b293*b317 + 1118*b293*b318 + 2494*b293*b319 + 946*b293*b320 + 6622*
    b293*b321 + 2752*b293*b322 + 7482*b293*b323 + 5762*b293*b324 + 8084*b293*
    b325 + 172*b293*b326 + 860*b293*b327 + 8514*b293*b328 + 4816*b293*b329 + 
    6020*b293*b330 + 8514*b293*b331 + 5160*b293*b332 + 1400*b293*b333 + 3280*
    b293*b334 + 600*b293*b335 + 3600*b293*b336 + 3040*b293*b338 + 3640*b293*
    b339 + 520*b293*b340 + 1160*b293*b341 + 440*b293*b342 + 3080*b293*b343 + 
    1280*b293*b344 + 3480*b293*b345 + 2680*b293*b346 + 3760*b293*b347 + 80*b293
    *b348 + 400*b293*b349 + 3960*b293*b350 + 2240*b293*b351 + 2800*b293*b352 + 
    3960*b293*b353 + 2400*b293*b354 + 4760*b293*b355 + 11152*b293*b356 + 2040*
    b293*b357 + 12240*b293*b358 + 10336*b293*b360 + 12376*b293*b361 + 1768*b293
    *b362 + 3944*b293*b363 + 1496*b293*b364 + 10472*b293*b365 + 4352*b293*b366
     + 11832*b293*b367 + 9112*b293*b368 + 12784*b293*b369 + 272*b293*b370 + 
    1360*b293*b371 + 13464*b293*b372 + 7616*b293*b373 + 9520*b293*b374 + 13464*
    b293*b375 + 8160*b293*b376 + 2450*b293*b377 + 5740*b293*b378 + 1050*b293*
    b379 + 6300*b293*b380 + 5320*b293*b382 + 6370*b293*b383 + 910*b293*b384 + 
    2030*b293*b385 + 770*b293*b386 + 5390*b293*b387 + 2240*b293*b388 + 6090*
    b293*b389 + 4690*b293*b390 + 6580*b293*b391 + 140*b293*b392 + 700*b293*b393
     + 6930*b293*b394 + 3920*b293*b395 + 4900*b293*b396 + 6930*b293*b397 + 4200
    *b293*b398 + 4200*b293*b399 + 9840*b293*b400 + 1800*b293*b401 + 10800*b293*
    b402 + 9120*b293*b404 + 10920*b293*b405 + 1560*b293*b406 + 3480*b293*b407
     + 1320*b293*b408 + 9240*b293*b409 + 3840*b293*b410 + 10440*b293*b411 + 
    8040*b293*b412 + 11280*b293*b413 + 240*b293*b414 + 1200*b293*b415 + 11880*
    b293*b416 + 6720*b293*b417 + 8400*b293*b418 + 11880*b293*b419 + 7200*b293*
    b420 + 1610*b293*b421 + 3772*b293*b422 + 690*b293*b423 + 4140*b293*b424 + 
    3496*b293*b426 + 4186*b293*b427 + 598*b293*b428 + 1334*b293*b429 + 506*b293
    *b430 + 3542*b293*b431 + 1472*b293*b432 + 4002*b293*b433 + 3082*b293*b434
     + 4324*b293*b435 + 92*b293*b436 + 460*b293*b437 + 4554*b293*b438 + 2576*
    b293*b439 + 3220*b293*b440 + 4554*b293*b441 + 2760*b293*b442 + 3360*b293*
    b443 + 7872*b293*b444 + 1440*b293*b445 + 8640*b293*b446 + 7296*b293*b448 + 
    8736*b293*b449 + 1248*b293*b450 + 2784*b293*b451 + 1056*b293*b452 + 7392*
    b293*b453 + 3072*b293*b454 + 8352*b293*b455 + 6432*b293*b456 + 9024*b293*
    b457 + 192*b293*b458 + 960*b293*b459 + 9504*b293*b460 + 5376*b293*b461 + 
    6720*b293*b462 + 9504*b293*b463 + 5760*b293*b464 + 2800*b293*b465 + 6560*
    b293*b466 + 1200*b293*b467 + 7200*b293*b468 + 6080*b293*b470 + 7280*b293*
    b471 + 1040*b293*b472 + 2320*b293*b473 + 880*b293*b474 + 6160*b293*b475 + 
    2560*b293*b476 + 6960*b293*b477 + 5360*b293*b478 + 7520*b293*b479 + 160*
    b293*b480 + 800*b293*b481 + 7920*b293*b482 + 4480*b293*b483 + 5600*b293*
    b484 + 7920*b293*b485 + 4800*b293*b486 + 700*b293*b487 + 1640*b293*b488 + 
    300*b293*b489 + 1800*b293*b490 + 1520*b293*b492 + 1820*b293*b493 + 260*b293
    *b494 + 580*b293*b495 + 220*b293*b496 + 1540*b293*b497 + 640*b293*b498 + 
    1740*b293*b499 + 1340*b293*b500 + 1880*b293*b501 + 40*b293*b502 + 200*b293*
    b503 + 1980*b293*b504 + 1120*b293*b505 + 1400*b293*b506 + 1980*b293*b507 + 
    1200*b293*b508 + 2940*b293*b509 + 6888*b293*b510 + 1260*b293*b511 + 7560*
    b293*b512 + 6384*b293*b514 + 7644*b293*b515 + 1092*b293*b516 + 2436*b293*
    b517 + 924*b293*b518 + 6468*b293*b519 + 2688*b293*b520 + 7308*b293*b521 + 
    5628*b293*b522 + 7896*b293*b523 + 168*b293*b524 + 840*b293*b525 + 8316*b293
    *b526 + 4704*b293*b527 + 5880*b293*b528 + 8316*b293*b529 + 5040*b293*b530
     + 82*b293*b531 + 158*b293*b532 + 8*b293*b533 + 2788*b293*b534 + 5372*b293*
    b535 + 272*b293*b536 + 5084*b293*b537 + 9796*b293*b538 + 496*b293*b539 + 
    1476*b293*b540 + 2844*b293*b541 + 144*b293*b542 + 4592*b293*b543 + 8848*
    b293*b544 + 448*b293*b545 + 5494*b293*b546 + 10586*b293*b547 + 536*b293*
    b548 + 3116*b293*b549 + 6004*b293*b550 + 304*b293*b551 + 4592*b293*b552 + 
    8848*b293*b553 + 448*b293*b554 + 2706*b293*b555 + 5214*b293*b556 + 264*b293
    *b557 + 5740*b293*b558 + 11060*b293*b559 + 560*b293*b560 + 7708*b293*b561
     + 14852*b293*b562 + 752*b293*b563 + 1394*b293*b564 + 2686*b293*b565 + 136*
    b293*b566 + 3526*b293*b570 + 6794*b293*b571 + 344*b293*b572 + 1640*b293*
    b573 + 3160*b293*b574 + 160*b293*b575 + 5576*b293*b576 + 10744*b293*b577 + 
    544*b293*b578 + 2870*b293*b579 + 5530*b293*b580 + 280*b293*b581 + 4920*b293
    *b582 + 9480*b293*b583 + 480*b293*b584 + 1886*b293*b585 + 3634*b293*b586 + 
    184*b293*b587 + 3936*b293*b588 + 7584*b293*b589 + 384*b293*b590 + 3280*b293
    *b591 + 6320*b293*b592 + 320*b293*b593 + 820*b293*b594 + 1580*b293*b595 + 
    80*b293*b596 + 3444*b293*b597 + 6636*b293*b598 + 336*b293*b599 + 3280*b293*
    b600 + 600*b293*b601 + 3600*b293*b602 + 3040*b293*b604 + 3640*b293*b605 + 
    520*b293*b606 + 1160*b293*b607 + 440*b293*b608 + 3080*b293*b609 + 1280*b293
    *b610 + 3480*b293*b611 + 2680*b293*b612 + 3760*b293*b613 + 3160*b293*b614
     + 80*b293*b615 + 400*b293*b616 + 3960*b293*b617 + 2240*b293*b618 + 2800*
    b293*b619 + 3960*b293*b620 + 2400*b293*b621 + 160*b293*b622 + 1400*b293*
    b623 + 7626*b293*b624 + 14694*b293*b625 + 744*b293*b626 + 7052*b294*b311 + 
    516*b294*b312 + 946*b294*b313 + 5676*b294*b314 + 6536*b294*b315 + 4816*b294
    *b317 + 172*b294*b318 + 5160*b294*b319 + 6192*b294*b320 + 6364*b294*b321 + 
    3956*b294*b322 + 1118*b294*b323 + 1720*b294*b324 + 7396*b294*b325 + 6622*
    b294*b326 + 1290*b294*b327 + 7654*b294*b328 + 4128*b294*b329 + 1204*b294*
    b330 + 7654*b294*b331 + 3784*b294*b332 + 3280*b294*b333 + 240*b294*b334 + 
    440*b294*b335 + 2640*b294*b336 + 3040*b294*b337 + 2240*b294*b339 + 80*b294*
    b340 + 2400*b294*b341 + 2880*b294*b342 + 2960*b294*b343 + 1840*b294*b344 + 
    520*b294*b345 + 800*b294*b346 + 3440*b294*b347 + 3080*b294*b348 + 600*b294*
    b349 + 3560*b294*b350 + 1920*b294*b351 + 560*b294*b352 + 3560*b294*b353 + 
    1760*b294*b354 + 11152*b294*b355 + 816*b294*b356 + 1496*b294*b357 + 8976*
    b294*b358 + 10336*b294*b359 + 7616*b294*b361 + 272*b294*b362 + 8160*b294*
    b363 + 9792*b294*b364 + 10064*b294*b365 + 6256*b294*b366 + 1768*b294*b367
     + 2720*b294*b368 + 11696*b294*b369 + 10472*b294*b370 + 2040*b294*b371 + 
    12104*b294*b372 + 6528*b294*b373 + 1904*b294*b374 + 12104*b294*b375 + 5984*
    b294*b376 + 5740*b294*b377 + 420*b294*b378 + 770*b294*b379 + 4620*b294*b380
     + 5320*b294*b381 + 3920*b294*b383 + 140*b294*b384 + 4200*b294*b385 + 5040*
    b294*b386 + 5180*b294*b387 + 3220*b294*b388 + 910*b294*b389 + 1400*b294*
    b390 + 6020*b294*b391 + 5390*b294*b392 + 1050*b294*b393 + 6230*b294*b394 + 
    3360*b294*b395 + 980*b294*b396 + 6230*b294*b397 + 3080*b294*b398 + 9840*
    b294*b399 + 720*b294*b400 + 1320*b294*b401 + 7920*b294*b402 + 9120*b294*
    b403 + 6720*b294*b405 + 240*b294*b406 + 7200*b294*b407 + 8640*b294*b408 + 
    8880*b294*b409 + 5520*b294*b410 + 1560*b294*b411 + 2400*b294*b412 + 10320*
    b294*b413 + 9240*b294*b414 + 1800*b294*b415 + 10680*b294*b416 + 5760*b294*
    b417 + 1680*b294*b418 + 10680*b294*b419 + 5280*b294*b420 + 3772*b294*b421
     + 276*b294*b422 + 506*b294*b423 + 3036*b294*b424 + 3496*b294*b425 + 2576*
    b294*b427 + 92*b294*b428 + 2760*b294*b429 + 3312*b294*b430 + 3404*b294*b431
     + 2116*b294*b432 + 598*b294*b433 + 920*b294*b434 + 3956*b294*b435 + 3542*
    b294*b436 + 690*b294*b437 + 4094*b294*b438 + 2208*b294*b439 + 644*b294*b440
     + 4094*b294*b441 + 2024*b294*b442 + 7872*b294*b443 + 576*b294*b444 + 1056*
    b294*b445 + 6336*b294*b446 + 7296*b294*b447 + 5376*b294*b449 + 192*b294*
    b450 + 5760*b294*b451 + 6912*b294*b452 + 7104*b294*b453 + 4416*b294*b454 + 
    1248*b294*b455 + 1920*b294*b456 + 8256*b294*b457 + 7392*b294*b458 + 1440*
    b294*b459 + 8544*b294*b460 + 4608*b294*b461 + 1344*b294*b462 + 8544*b294*
    b463 + 4224*b294*b464 + 6560*b294*b465 + 480*b294*b466 + 880*b294*b467 + 
    5280*b294*b468 + 6080*b294*b469 + 4480*b294*b471 + 160*b294*b472 + 4800*
    b294*b473 + 5760*b294*b474 + 5920*b294*b475 + 3680*b294*b476 + 1040*b294*
    b477 + 1600*b294*b478 + 6880*b294*b479 + 6160*b294*b480 + 1200*b294*b481 + 
    7120*b294*b482 + 3840*b294*b483 + 1120*b294*b484 + 7120*b294*b485 + 3520*
    b294*b486 + 1640*b294*b487 + 120*b294*b488 + 220*b294*b489 + 1320*b294*b490
     + 1520*b294*b491 + 1120*b294*b493 + 40*b294*b494 + 1200*b294*b495 + 1440*
    b294*b496 + 1480*b294*b497 + 920*b294*b498 + 260*b294*b499 + 400*b294*b500
     + 1720*b294*b501 + 1540*b294*b502 + 300*b294*b503 + 1780*b294*b504 + 960*
    b294*b505 + 280*b294*b506 + 1780*b294*b507 + 880*b294*b508 + 6888*b294*b509
     + 504*b294*b510 + 924*b294*b511 + 5544*b294*b512 + 6384*b294*b513 + 4704*
    b294*b515 + 168*b294*b516 + 5040*b294*b517 + 6048*b294*b518 + 6216*b294*
    b519 + 3864*b294*b520 + 1092*b294*b521 + 1680*b294*b522 + 7224*b294*b523 + 
    6468*b294*b524 + 1260*b294*b525 + 7476*b294*b526 + 4032*b294*b527 + 1176*
    b294*b528 + 7476*b294*b529 + 3696*b294*b530 + 12*b294*b531 + 8*b294*b532 + 
    118*b294*b533 + 408*b294*b534 + 272*b294*b535 + 4012*b294*b536 + 744*b294*
    b537 + 496*b294*b538 + 7316*b294*b539 + 216*b294*b540 + 144*b294*b541 + 
    2124*b294*b542 + 672*b294*b543 + 448*b294*b544 + 6608*b294*b545 + 804*b294*
    b546 + 536*b294*b547 + 7906*b294*b548 + 456*b294*b549 + 304*b294*b550 + 
    4484*b294*b551 + 672*b294*b552 + 448*b294*b553 + 6608*b294*b554 + 396*b294*
    b555 + 264*b294*b556 + 3894*b294*b557 + 840*b294*b558 + 560*b294*b559 + 
    8260*b294*b560 + 1128*b294*b561 + 752*b294*b562 + 11092*b294*b563 + 204*
    b294*b564 + 136*b294*b565 + 2006*b294*b566 + 516*b294*b570 + 344*b294*b571
     + 5074*b294*b572 + 240*b294*b573 + 160*b294*b574 + 2360*b294*b575 + 816*
    b294*b576 + 544*b294*b577 + 8024*b294*b578 + 420*b294*b579 + 280*b294*b580
     + 4130*b294*b581 + 720*b294*b582 + 480*b294*b583 + 7080*b294*b584 + 276*
    b294*b585 + 184*b294*b586 + 2714*b294*b587 + 576*b294*b588 + 384*b294*b589
     + 5664*b294*b590 + 480*b294*b591 + 320*b294*b592 + 4720*b294*b593 + 120*
    b294*b594 + 80*b294*b595 + 1180*b294*b596 + 504*b294*b597 + 336*b294*b598
     + 4956*b294*b599 + 240*b294*b600 + 440*b294*b601 + 2640*b294*b602 + 3040*
    b294*b603 + 2240*b294*b605 + 80*b294*b606 + 2400*b294*b607 + 2880*b294*b608
     + 2960*b294*b609 + 1840*b294*b610 + 520*b294*b611 + 800*b294*b612 + 3440*
    b294*b613 + 160*b294*b614 + 3080*b294*b615 + 600*b294*b616 + 3560*b294*b617
     + 1920*b294*b618 + 560*b294*b619 + 3560*b294*b620 + 1760*b294*b621 + 2360*
    b294*b622 + 3280*b294*b623 + 1116*b294*b624 + 744*b294*b625 + 10974*b294*
    b626 + 2236*b295*b311 + 6106*b295*b312 + 3010*b295*b313 + 3526*b295*b314 + 
    7826*b295*b315 + 4816*b295*b316 + 1892*b295*b318 + 4902*b295*b319 + 5418*
    b295*b320 + 516*b295*b321 + 5332*b295*b323 + 3526*b295*b324 + 5332*b295*
    b325 + 2150*b295*b326 + 6450*b295*b327 + 6536*b295*b328 + 3440*b295*b329 + 
    5676*b295*b330 + 4988*b295*b331 + 2580*b295*b332 + 1040*b295*b333 + 2840*
    b295*b334 + 1400*b295*b335 + 1640*b295*b336 + 3640*b295*b337 + 2240*b295*
    b338 + 880*b295*b340 + 2280*b295*b341 + 2520*b295*b342 + 240*b295*b343 + 
    2480*b295*b345 + 1640*b295*b346 + 2480*b295*b347 + 1000*b295*b348 + 3000*
    b295*b349 + 3040*b295*b350 + 1600*b295*b351 + 2640*b295*b352 + 2320*b295*
    b353 + 1200*b295*b354 + 3536*b295*b355 + 9656*b295*b356 + 4760*b295*b357 + 
    5576*b295*b358 + 12376*b295*b359 + 7616*b295*b360 + 2992*b295*b362 + 7752*
    b295*b363 + 8568*b295*b364 + 816*b295*b365 + 8432*b295*b367 + 5576*b295*
    b368 + 8432*b295*b369 + 3400*b295*b370 + 10200*b295*b371 + 10336*b295*b372
     + 5440*b295*b373 + 8976*b295*b374 + 7888*b295*b375 + 4080*b295*b376 + 1820
    *b295*b377 + 4970*b295*b378 + 2450*b295*b379 + 2870*b295*b380 + 6370*b295*
    b381 + 3920*b295*b382 + 1540*b295*b384 + 3990*b295*b385 + 4410*b295*b386 + 
    420*b295*b387 + 4340*b295*b389 + 2870*b295*b390 + 4340*b295*b391 + 1750*
    b295*b392 + 5250*b295*b393 + 5320*b295*b394 + 2800*b295*b395 + 4620*b295*
    b396 + 4060*b295*b397 + 2100*b295*b398 + 3120*b295*b399 + 8520*b295*b400 + 
    4200*b295*b401 + 4920*b295*b402 + 10920*b295*b403 + 6720*b295*b404 + 2640*
    b295*b406 + 6840*b295*b407 + 7560*b295*b408 + 720*b295*b409 + 7440*b295*
    b411 + 4920*b295*b412 + 7440*b295*b413 + 3000*b295*b414 + 9000*b295*b415 + 
    9120*b295*b416 + 4800*b295*b417 + 7920*b295*b418 + 6960*b295*b419 + 3600*
    b295*b420 + 1196*b295*b421 + 3266*b295*b422 + 1610*b295*b423 + 1886*b295*
    b424 + 4186*b295*b425 + 2576*b295*b426 + 1012*b295*b428 + 2622*b295*b429 + 
    2898*b295*b430 + 276*b295*b431 + 2852*b295*b433 + 1886*b295*b434 + 2852*
    b295*b435 + 1150*b295*b436 + 3450*b295*b437 + 3496*b295*b438 + 1840*b295*
    b439 + 3036*b295*b440 + 2668*b295*b441 + 1380*b295*b442 + 2496*b295*b443 + 
    6816*b295*b444 + 3360*b295*b445 + 3936*b295*b446 + 8736*b295*b447 + 5376*
    b295*b448 + 2112*b295*b450 + 5472*b295*b451 + 6048*b295*b452 + 576*b295*
    b453 + 5952*b295*b455 + 3936*b295*b456 + 5952*b295*b457 + 2400*b295*b458 + 
    7200*b295*b459 + 7296*b295*b460 + 3840*b295*b461 + 6336*b295*b462 + 5568*
    b295*b463 + 2880*b295*b464 + 2080*b295*b465 + 5680*b295*b466 + 2800*b295*
    b467 + 3280*b295*b468 + 7280*b295*b469 + 4480*b295*b470 + 1760*b295*b472 + 
    4560*b295*b473 + 5040*b295*b474 + 480*b295*b475 + 4960*b295*b477 + 3280*
    b295*b478 + 4960*b295*b479 + 2000*b295*b480 + 6000*b295*b481 + 6080*b295*
    b482 + 3200*b295*b483 + 5280*b295*b484 + 4640*b295*b485 + 2400*b295*b486 + 
    520*b295*b487 + 1420*b295*b488 + 700*b295*b489 + 820*b295*b490 + 1820*b295*
    b491 + 1120*b295*b492 + 440*b295*b494 + 1140*b295*b495 + 1260*b295*b496 + 
    120*b295*b497 + 1240*b295*b499 + 820*b295*b500 + 1240*b295*b501 + 500*b295*
    b502 + 1500*b295*b503 + 1520*b295*b504 + 800*b295*b505 + 1320*b295*b506 + 
    1160*b295*b507 + 600*b295*b508 + 2184*b295*b509 + 5964*b295*b510 + 2940*
    b295*b511 + 3444*b295*b512 + 7644*b295*b513 + 4704*b295*b514 + 1848*b295*
    b516 + 4788*b295*b517 + 5292*b295*b518 + 504*b295*b519 + 5208*b295*b521 + 
    3444*b295*b522 + 5208*b295*b523 + 2100*b295*b524 + 6300*b295*b525 + 6384*
    b295*b526 + 3360*b295*b527 + 5544*b295*b528 + 4872*b295*b529 + 2520*b295*
    b530 + 50*b295*b531 + 92*b295*b532 + 136*b295*b533 + 1700*b295*b534 + 3128*
    b295*b535 + 4624*b295*b536 + 3100*b295*b537 + 5704*b295*b538 + 8432*b295*
    b539 + 900*b295*b540 + 1656*b295*b541 + 2448*b295*b542 + 2800*b295*b543 + 
    5152*b295*b544 + 7616*b295*b545 + 3350*b295*b546 + 6164*b295*b547 + 9112*
    b295*b548 + 1900*b295*b549 + 3496*b295*b550 + 5168*b295*b551 + 2800*b295*
    b552 + 5152*b295*b553 + 7616*b295*b554 + 1650*b295*b555 + 3036*b295*b556 + 
    4488*b295*b557 + 3500*b295*b558 + 6440*b295*b559 + 9520*b295*b560 + 4700*
    b295*b561 + 8648*b295*b562 + 12784*b295*b563 + 850*b295*b564 + 1564*b295*
    b565 + 2312*b295*b566 + 2150*b295*b570 + 3956*b295*b571 + 5848*b295*b572 + 
    1000*b295*b573 + 1840*b295*b574 + 2720*b295*b575 + 3400*b295*b576 + 6256*
    b295*b577 + 9248*b295*b578 + 1750*b295*b579 + 3220*b295*b580 + 4760*b295*
    b581 + 3000*b295*b582 + 5520*b295*b583 + 8160*b295*b584 + 1150*b295*b585 + 
    2116*b295*b586 + 3128*b295*b587 + 2400*b295*b588 + 4416*b295*b589 + 6528*
    b295*b590 + 2000*b295*b591 + 3680*b295*b592 + 5440*b295*b593 + 500*b295*
    b594 + 920*b295*b595 + 1360*b295*b596 + 2100*b295*b597 + 3864*b295*b598 + 
    5712*b295*b599 + 2840*b295*b600 + 1400*b295*b601 + 1640*b295*b602 + 3640*
    b295*b603 + 2240*b295*b604 + 880*b295*b606 + 2280*b295*b607 + 2520*b295*
    b608 + 240*b295*b609 + 2480*b295*b611 + 1640*b295*b612 + 2480*b295*b613 + 
    1840*b295*b614 + 1000*b295*b615 + 3000*b295*b616 + 3040*b295*b617 + 1600*
    b295*b618 + 2640*b295*b619 + 2320*b295*b620 + 1200*b295*b621 + 2720*b295*
    b622 + 1040*b295*b623 + 4650*b295*b624 + 8556*b295*b625 + 12648*b295*b626
     + 5934*b296*b311 + 688*b296*b312 + 946*b296*b313 + 1290*b296*b314 + 1118*
    b296*b315 + 172*b296*b316 + 1892*b296*b317 + 6708*b296*b319 + 7826*b296*
    b320 + 1118*b296*b321 + 5074*b296*b322 + 4214*b296*b323 + 7310*b296*b324 + 
    7224*b296*b325 + 3268*b296*b326 + 3526*b296*b327 + 4816*b296*b328 + 3354*
    b296*b329 + 4558*b296*b330 + 6622*b296*b331 + 4300*b296*b332 + 2760*b296*
    b333 + 320*b296*b334 + 440*b296*b335 + 600*b296*b336 + 520*b296*b337 + 80*
    b296*b338 + 880*b296*b339 + 3120*b296*b341 + 3640*b296*b342 + 520*b296*b343
     + 2360*b296*b344 + 1960*b296*b345 + 3400*b296*b346 + 3360*b296*b347 + 1520
    *b296*b348 + 1640*b296*b349 + 2240*b296*b350 + 1560*b296*b351 + 2120*b296*
    b352 + 3080*b296*b353 + 2000*b296*b354 + 9384*b296*b355 + 1088*b296*b356 + 
    1496*b296*b357 + 2040*b296*b358 + 1768*b296*b359 + 272*b296*b360 + 2992*
    b296*b361 + 10608*b296*b363 + 12376*b296*b364 + 1768*b296*b365 + 8024*b296*
    b366 + 6664*b296*b367 + 11560*b296*b368 + 11424*b296*b369 + 5168*b296*b370
     + 5576*b296*b371 + 7616*b296*b372 + 5304*b296*b373 + 7208*b296*b374 + 
    10472*b296*b375 + 6800*b296*b376 + 4830*b296*b377 + 560*b296*b378 + 770*
    b296*b379 + 1050*b296*b380 + 910*b296*b381 + 140*b296*b382 + 1540*b296*b383
     + 5460*b296*b385 + 6370*b296*b386 + 910*b296*b387 + 4130*b296*b388 + 3430*
    b296*b389 + 5950*b296*b390 + 5880*b296*b391 + 2660*b296*b392 + 2870*b296*
    b393 + 3920*b296*b394 + 2730*b296*b395 + 3710*b296*b396 + 5390*b296*b397 + 
    3500*b296*b398 + 8280*b296*b399 + 960*b296*b400 + 1320*b296*b401 + 1800*
    b296*b402 + 1560*b296*b403 + 240*b296*b404 + 2640*b296*b405 + 9360*b296*
    b407 + 10920*b296*b408 + 1560*b296*b409 + 7080*b296*b410 + 5880*b296*b411
     + 10200*b296*b412 + 10080*b296*b413 + 4560*b296*b414 + 4920*b296*b415 + 
    6720*b296*b416 + 4680*b296*b417 + 6360*b296*b418 + 9240*b296*b419 + 6000*
    b296*b420 + 3174*b296*b421 + 368*b296*b422 + 506*b296*b423 + 690*b296*b424
     + 598*b296*b425 + 92*b296*b426 + 1012*b296*b427 + 3588*b296*b429 + 4186*
    b296*b430 + 598*b296*b431 + 2714*b296*b432 + 2254*b296*b433 + 3910*b296*
    b434 + 3864*b296*b435 + 1748*b296*b436 + 1886*b296*b437 + 2576*b296*b438 + 
    1794*b296*b439 + 2438*b296*b440 + 3542*b296*b441 + 2300*b296*b442 + 6624*
    b296*b443 + 768*b296*b444 + 1056*b296*b445 + 1440*b296*b446 + 1248*b296*
    b447 + 192*b296*b448 + 2112*b296*b449 + 7488*b296*b451 + 8736*b296*b452 + 
    1248*b296*b453 + 5664*b296*b454 + 4704*b296*b455 + 8160*b296*b456 + 8064*
    b296*b457 + 3648*b296*b458 + 3936*b296*b459 + 5376*b296*b460 + 3744*b296*
    b461 + 5088*b296*b462 + 7392*b296*b463 + 4800*b296*b464 + 5520*b296*b465 + 
    640*b296*b466 + 880*b296*b467 + 1200*b296*b468 + 1040*b296*b469 + 160*b296*
    b470 + 1760*b296*b471 + 6240*b296*b473 + 7280*b296*b474 + 1040*b296*b475 + 
    4720*b296*b476 + 3920*b296*b477 + 6800*b296*b478 + 6720*b296*b479 + 3040*
    b296*b480 + 3280*b296*b481 + 4480*b296*b482 + 3120*b296*b483 + 4240*b296*
    b484 + 6160*b296*b485 + 4000*b296*b486 + 1380*b296*b487 + 160*b296*b488 + 
    220*b296*b489 + 300*b296*b490 + 260*b296*b491 + 40*b296*b492 + 440*b296*
    b493 + 1560*b296*b495 + 1820*b296*b496 + 260*b296*b497 + 1180*b296*b498 + 
    980*b296*b499 + 1700*b296*b500 + 1680*b296*b501 + 760*b296*b502 + 820*b296*
    b503 + 1120*b296*b504 + 780*b296*b505 + 1060*b296*b506 + 1540*b296*b507 + 
    1000*b296*b508 + 5796*b296*b509 + 672*b296*b510 + 924*b296*b511 + 1260*b296
    *b512 + 1092*b296*b513 + 168*b296*b514 + 1848*b296*b515 + 6552*b296*b517 + 
    7644*b296*b518 + 1092*b296*b519 + 4956*b296*b520 + 4116*b296*b521 + 7140*
    b296*b522 + 7056*b296*b523 + 3192*b296*b524 + 3444*b296*b525 + 4704*b296*
    b526 + 3276*b296*b527 + 4452*b296*b528 + 6468*b296*b529 + 4200*b296*b530 + 
    20*b296*b531 + 16*b296*b532 + 60*b296*b533 + 680*b296*b534 + 544*b296*b535
     + 2040*b296*b536 + 1240*b296*b537 + 992*b296*b538 + 3720*b296*b539 + 360*
    b296*b540 + 288*b296*b541 + 1080*b296*b542 + 1120*b296*b543 + 896*b296*b544
     + 3360*b296*b545 + 1340*b296*b546 + 1072*b296*b547 + 4020*b296*b548 + 760*
    b296*b549 + 608*b296*b550 + 2280*b296*b551 + 1120*b296*b552 + 896*b296*b553
     + 3360*b296*b554 + 660*b296*b555 + 528*b296*b556 + 1980*b296*b557 + 1400*
    b296*b558 + 1120*b296*b559 + 4200*b296*b560 + 1880*b296*b561 + 1504*b296*
    b562 + 5640*b296*b563 + 340*b296*b564 + 272*b296*b565 + 1020*b296*b566 + 
    860*b296*b570 + 688*b296*b571 + 2580*b296*b572 + 400*b296*b573 + 320*b296*
    b574 + 1200*b296*b575 + 1360*b296*b576 + 1088*b296*b577 + 4080*b296*b578 + 
    700*b296*b579 + 560*b296*b580 + 2100*b296*b581 + 1200*b296*b582 + 960*b296*
    b583 + 3600*b296*b584 + 460*b296*b585 + 368*b296*b586 + 1380*b296*b587 + 
    960*b296*b588 + 768*b296*b589 + 2880*b296*b590 + 800*b296*b591 + 640*b296*
    b592 + 2400*b296*b593 + 200*b296*b594 + 160*b296*b595 + 600*b296*b596 + 840
    *b296*b597 + 672*b296*b598 + 2520*b296*b599 + 320*b296*b600 + 440*b296*b601
     + 600*b296*b602 + 520*b296*b603 + 80*b296*b604 + 880*b296*b605 + 3120*b296
    *b607 + 3640*b296*b608 + 520*b296*b609 + 2360*b296*b610 + 1960*b296*b611 + 
    3400*b296*b612 + 3360*b296*b613 + 320*b296*b614 + 1520*b296*b615 + 1640*
    b296*b616 + 2240*b296*b617 + 1560*b296*b618 + 2120*b296*b619 + 3080*b296*
    b620 + 2000*b296*b621 + 1200*b296*b622 + 2760*b296*b623 + 1860*b296*b624 + 
    1488*b296*b625 + 5580*b296*b626 + 4816*b297*b311 + 6622*b297*b312 + 1720*
    b297*b313 + 7138*b297*b314 + 2494*b297*b315 + 5160*b297*b316 + 4902*b297*
    b317 + 6708*b297*b318 + 4988*b297*b320 + 4730*b297*b321 + 1634*b297*b322 + 
    7310*b297*b323 + 4472*b297*b324 + 2924*b297*b325 + 3440*b297*b326 + 5934*
    b297*b327 + 1032*b297*b328 + 7310*b297*b329 + 6192*b297*b330 + 602*b297*
    b331 + 4214*b297*b332 + 2240*b297*b333 + 3080*b297*b334 + 800*b297*b335 + 
    3320*b297*b336 + 1160*b297*b337 + 2400*b297*b338 + 2280*b297*b339 + 3120*
    b297*b340 + 2320*b297*b342 + 2200*b297*b343 + 760*b297*b344 + 3400*b297*
    b345 + 2080*b297*b346 + 1360*b297*b347 + 1600*b297*b348 + 2760*b297*b349 + 
    480*b297*b350 + 3400*b297*b351 + 2880*b297*b352 + 280*b297*b353 + 1960*b297
    *b354 + 7616*b297*b355 + 10472*b297*b356 + 2720*b297*b357 + 11288*b297*b358
     + 3944*b297*b359 + 8160*b297*b360 + 7752*b297*b361 + 10608*b297*b362 + 
    7888*b297*b364 + 7480*b297*b365 + 2584*b297*b366 + 11560*b297*b367 + 7072*
    b297*b368 + 4624*b297*b369 + 5440*b297*b370 + 9384*b297*b371 + 1632*b297*
    b372 + 11560*b297*b373 + 9792*b297*b374 + 952*b297*b375 + 6664*b297*b376 + 
    3920*b297*b377 + 5390*b297*b378 + 1400*b297*b379 + 5810*b297*b380 + 2030*
    b297*b381 + 4200*b297*b382 + 3990*b297*b383 + 5460*b297*b384 + 4060*b297*
    b386 + 3850*b297*b387 + 1330*b297*b388 + 5950*b297*b389 + 3640*b297*b390 + 
    2380*b297*b391 + 2800*b297*b392 + 4830*b297*b393 + 840*b297*b394 + 5950*
    b297*b395 + 5040*b297*b396 + 490*b297*b397 + 3430*b297*b398 + 6720*b297*
    b399 + 9240*b297*b400 + 2400*b297*b401 + 9960*b297*b402 + 3480*b297*b403 + 
    7200*b297*b404 + 6840*b297*b405 + 9360*b297*b406 + 6960*b297*b408 + 6600*
    b297*b409 + 2280*b297*b410 + 10200*b297*b411 + 6240*b297*b412 + 4080*b297*
    b413 + 4800*b297*b414 + 8280*b297*b415 + 1440*b297*b416 + 10200*b297*b417
     + 8640*b297*b418 + 840*b297*b419 + 5880*b297*b420 + 2576*b297*b421 + 3542*
    b297*b422 + 920*b297*b423 + 3818*b297*b424 + 1334*b297*b425 + 2760*b297*
    b426 + 2622*b297*b427 + 3588*b297*b428 + 2668*b297*b430 + 2530*b297*b431 + 
    874*b297*b432 + 3910*b297*b433 + 2392*b297*b434 + 1564*b297*b435 + 1840*
    b297*b436 + 3174*b297*b437 + 552*b297*b438 + 3910*b297*b439 + 3312*b297*
    b440 + 322*b297*b441 + 2254*b297*b442 + 5376*b297*b443 + 7392*b297*b444 + 
    1920*b297*b445 + 7968*b297*b446 + 2784*b297*b447 + 5760*b297*b448 + 5472*
    b297*b449 + 7488*b297*b450 + 5568*b297*b452 + 5280*b297*b453 + 1824*b297*
    b454 + 8160*b297*b455 + 4992*b297*b456 + 3264*b297*b457 + 3840*b297*b458 + 
    6624*b297*b459 + 1152*b297*b460 + 8160*b297*b461 + 6912*b297*b462 + 672*
    b297*b463 + 4704*b297*b464 + 4480*b297*b465 + 6160*b297*b466 + 1600*b297*
    b467 + 6640*b297*b468 + 2320*b297*b469 + 4800*b297*b470 + 4560*b297*b471 + 
    6240*b297*b472 + 4640*b297*b474 + 4400*b297*b475 + 1520*b297*b476 + 6800*
    b297*b477 + 4160*b297*b478 + 2720*b297*b479 + 3200*b297*b480 + 5520*b297*
    b481 + 960*b297*b482 + 6800*b297*b483 + 5760*b297*b484 + 560*b297*b485 + 
    3920*b297*b486 + 1120*b297*b487 + 1540*b297*b488 + 400*b297*b489 + 1660*
    b297*b490 + 580*b297*b491 + 1200*b297*b492 + 1140*b297*b493 + 1560*b297*
    b494 + 1160*b297*b496 + 1100*b297*b497 + 380*b297*b498 + 1700*b297*b499 + 
    1040*b297*b500 + 680*b297*b501 + 800*b297*b502 + 1380*b297*b503 + 240*b297*
    b504 + 1700*b297*b505 + 1440*b297*b506 + 140*b297*b507 + 980*b297*b508 + 
    4704*b297*b509 + 6468*b297*b510 + 1680*b297*b511 + 6972*b297*b512 + 2436*
    b297*b513 + 5040*b297*b514 + 4788*b297*b515 + 6552*b297*b516 + 4872*b297*
    b518 + 4620*b297*b519 + 1596*b297*b520 + 7140*b297*b521 + 4368*b297*b522 + 
    2856*b297*b523 + 3360*b297*b524 + 5796*b297*b525 + 1008*b297*b526 + 7140*
    b297*b527 + 6048*b297*b528 + 588*b297*b529 + 4116*b297*b530 + 8*b297*b531
     + 106*b297*b532 + 92*b297*b533 + 272*b297*b534 + 3604*b297*b535 + 3128*
    b297*b536 + 496*b297*b537 + 6572*b297*b538 + 5704*b297*b539 + 144*b297*b540
     + 1908*b297*b541 + 1656*b297*b542 + 448*b297*b543 + 5936*b297*b544 + 5152*
    b297*b545 + 536*b297*b546 + 7102*b297*b547 + 6164*b297*b548 + 304*b297*b549
     + 4028*b297*b550 + 3496*b297*b551 + 448*b297*b552 + 5936*b297*b553 + 5152*
    b297*b554 + 264*b297*b555 + 3498*b297*b556 + 3036*b297*b557 + 560*b297*b558
     + 7420*b297*b559 + 6440*b297*b560 + 752*b297*b561 + 9964*b297*b562 + 8648*
    b297*b563 + 136*b297*b564 + 1802*b297*b565 + 1564*b297*b566 + 344*b297*b570
     + 4558*b297*b571 + 3956*b297*b572 + 160*b297*b573 + 2120*b297*b574 + 1840*
    b297*b575 + 544*b297*b576 + 7208*b297*b577 + 6256*b297*b578 + 280*b297*b579
     + 3710*b297*b580 + 3220*b297*b581 + 480*b297*b582 + 6360*b297*b583 + 5520*
    b297*b584 + 184*b297*b585 + 2438*b297*b586 + 2116*b297*b587 + 384*b297*b588
     + 5088*b297*b589 + 4416*b297*b590 + 320*b297*b591 + 4240*b297*b592 + 3680*
    b297*b593 + 80*b297*b594 + 1060*b297*b595 + 920*b297*b596 + 336*b297*b597
     + 4452*b297*b598 + 3864*b297*b599 + 3080*b297*b600 + 800*b297*b601 + 3320*
    b297*b602 + 1160*b297*b603 + 2400*b297*b604 + 2280*b297*b605 + 3120*b297*
    b606 + 2320*b297*b608 + 2200*b297*b609 + 760*b297*b610 + 3400*b297*b611 + 
    2080*b297*b612 + 1360*b297*b613 + 2120*b297*b614 + 1600*b297*b615 + 2760*
    b297*b616 + 480*b297*b617 + 3400*b297*b618 + 2880*b297*b619 + 280*b297*b620
     + 1960*b297*b621 + 1840*b297*b622 + 2240*b297*b623 + 744*b297*b624 + 9858*
    b297*b625 + 8556*b297*b626 + 7396*b298*b311 + 6364*b298*b312 + 1806*b298*
    b313 + 8256*b298*b314 + 946*b298*b315 + 6192*b298*b316 + 5418*b298*b317 + 
    7826*b298*b318 + 4988*b298*b319 + 7482*b298*b321 + 4988*b298*b322 + 1462*
    b298*b323 + 5848*b298*b324 + 2322*b298*b325 + 516*b298*b326 + 5762*b298*
    b327 + 2236*b298*b328 + 7052*b298*b329 + 3784*b298*b330 + 3010*b298*b331 + 
    258*b298*b332 + 3440*b298*b333 + 2960*b298*b334 + 840*b298*b335 + 3840*b298
    *b336 + 440*b298*b337 + 2880*b298*b338 + 2520*b298*b339 + 3640*b298*b340 + 
    2320*b298*b341 + 3480*b298*b343 + 2320*b298*b344 + 680*b298*b345 + 2720*
    b298*b346 + 1080*b298*b347 + 240*b298*b348 + 2680*b298*b349 + 1040*b298*
    b350 + 3280*b298*b351 + 1760*b298*b352 + 1400*b298*b353 + 120*b298*b354 + 
    11696*b298*b355 + 10064*b298*b356 + 2856*b298*b357 + 13056*b298*b358 + 1496
    *b298*b359 + 9792*b298*b360 + 8568*b298*b361 + 12376*b298*b362 + 7888*b298*
    b363 + 11832*b298*b365 + 7888*b298*b366 + 2312*b298*b367 + 9248*b298*b368
     + 3672*b298*b369 + 816*b298*b370 + 9112*b298*b371 + 3536*b298*b372 + 11152
    *b298*b373 + 5984*b298*b374 + 4760*b298*b375 + 408*b298*b376 + 6020*b298*
    b377 + 5180*b298*b378 + 1470*b298*b379 + 6720*b298*b380 + 770*b298*b381 + 
    5040*b298*b382 + 4410*b298*b383 + 6370*b298*b384 + 4060*b298*b385 + 6090*
    b298*b387 + 4060*b298*b388 + 1190*b298*b389 + 4760*b298*b390 + 1890*b298*
    b391 + 420*b298*b392 + 4690*b298*b393 + 1820*b298*b394 + 5740*b298*b395 + 
    3080*b298*b396 + 2450*b298*b397 + 210*b298*b398 + 10320*b298*b399 + 8880*
    b298*b400 + 2520*b298*b401 + 11520*b298*b402 + 1320*b298*b403 + 8640*b298*
    b404 + 7560*b298*b405 + 10920*b298*b406 + 6960*b298*b407 + 10440*b298*b409
     + 6960*b298*b410 + 2040*b298*b411 + 8160*b298*b412 + 3240*b298*b413 + 720*
    b298*b414 + 8040*b298*b415 + 3120*b298*b416 + 9840*b298*b417 + 5280*b298*
    b418 + 4200*b298*b419 + 360*b298*b420 + 3956*b298*b421 + 3404*b298*b422 + 
    966*b298*b423 + 4416*b298*b424 + 506*b298*b425 + 3312*b298*b426 + 2898*b298
    *b427 + 4186*b298*b428 + 2668*b298*b429 + 4002*b298*b431 + 2668*b298*b432
     + 782*b298*b433 + 3128*b298*b434 + 1242*b298*b435 + 276*b298*b436 + 3082*
    b298*b437 + 1196*b298*b438 + 3772*b298*b439 + 2024*b298*b440 + 1610*b298*
    b441 + 138*b298*b442 + 8256*b298*b443 + 7104*b298*b444 + 2016*b298*b445 + 
    9216*b298*b446 + 1056*b298*b447 + 6912*b298*b448 + 6048*b298*b449 + 8736*
    b298*b450 + 5568*b298*b451 + 8352*b298*b453 + 5568*b298*b454 + 1632*b298*
    b455 + 6528*b298*b456 + 2592*b298*b457 + 576*b298*b458 + 6432*b298*b459 + 
    2496*b298*b460 + 7872*b298*b461 + 4224*b298*b462 + 3360*b298*b463 + 288*
    b298*b464 + 6880*b298*b465 + 5920*b298*b466 + 1680*b298*b467 + 7680*b298*
    b468 + 880*b298*b469 + 5760*b298*b470 + 5040*b298*b471 + 7280*b298*b472 + 
    4640*b298*b473 + 6960*b298*b475 + 4640*b298*b476 + 1360*b298*b477 + 5440*
    b298*b478 + 2160*b298*b479 + 480*b298*b480 + 5360*b298*b481 + 2080*b298*
    b482 + 6560*b298*b483 + 3520*b298*b484 + 2800*b298*b485 + 240*b298*b486 + 
    1720*b298*b487 + 1480*b298*b488 + 420*b298*b489 + 1920*b298*b490 + 220*b298
    *b491 + 1440*b298*b492 + 1260*b298*b493 + 1820*b298*b494 + 1160*b298*b495
     + 1740*b298*b497 + 1160*b298*b498 + 340*b298*b499 + 1360*b298*b500 + 540*
    b298*b501 + 120*b298*b502 + 1340*b298*b503 + 520*b298*b504 + 1640*b298*b505
     + 880*b298*b506 + 700*b298*b507 + 60*b298*b508 + 7224*b298*b509 + 6216*
    b298*b510 + 1764*b298*b511 + 8064*b298*b512 + 924*b298*b513 + 6048*b298*
    b514 + 5292*b298*b515 + 7644*b298*b516 + 4872*b298*b517 + 7308*b298*b519 + 
    4872*b298*b520 + 1428*b298*b521 + 5712*b298*b522 + 2268*b298*b523 + 504*
    b298*b524 + 5628*b298*b525 + 2184*b298*b526 + 6888*b298*b527 + 3696*b298*
    b528 + 2940*b298*b529 + 252*b298*b530 + 126*b298*b531 + 42*b298*b532 + 124*
    b298*b533 + 4284*b298*b534 + 1428*b298*b535 + 4216*b298*b536 + 7812*b298*
    b537 + 2604*b298*b538 + 7688*b298*b539 + 2268*b298*b540 + 756*b298*b541 + 
    2232*b298*b542 + 7056*b298*b543 + 2352*b298*b544 + 6944*b298*b545 + 8442*
    b298*b546 + 2814*b298*b547 + 8308*b298*b548 + 4788*b298*b549 + 1596*b298*
    b550 + 4712*b298*b551 + 7056*b298*b552 + 2352*b298*b553 + 6944*b298*b554 + 
    4158*b298*b555 + 1386*b298*b556 + 4092*b298*b557 + 8820*b298*b558 + 2940*
    b298*b559 + 8680*b298*b560 + 11844*b298*b561 + 3948*b298*b562 + 11656*b298*
    b563 + 2142*b298*b564 + 714*b298*b565 + 2108*b298*b566 + 5418*b298*b570 + 
    1806*b298*b571 + 5332*b298*b572 + 2520*b298*b573 + 840*b298*b574 + 2480*
    b298*b575 + 8568*b298*b576 + 2856*b298*b577 + 8432*b298*b578 + 4410*b298*
    b579 + 1470*b298*b580 + 4340*b298*b581 + 7560*b298*b582 + 2520*b298*b583 + 
    7440*b298*b584 + 2898*b298*b585 + 966*b298*b586 + 2852*b298*b587 + 6048*
    b298*b588 + 2016*b298*b589 + 5952*b298*b590 + 5040*b298*b591 + 1680*b298*
    b592 + 4960*b298*b593 + 1260*b298*b594 + 420*b298*b595 + 1240*b298*b596 + 
    5292*b298*b597 + 1764*b298*b598 + 5208*b298*b599 + 2960*b298*b600 + 840*
    b298*b601 + 3840*b298*b602 + 440*b298*b603 + 2880*b298*b604 + 2520*b298*
    b605 + 3640*b298*b606 + 2320*b298*b607 + 3480*b298*b609 + 2320*b298*b610 + 
    680*b298*b611 + 2720*b298*b612 + 1080*b298*b613 + 840*b298*b614 + 240*b298*
    b615 + 2680*b298*b616 + 1040*b298*b617 + 3280*b298*b618 + 1760*b298*b619 + 
    1400*b298*b620 + 120*b298*b621 + 2480*b298*b622 + 3440*b298*b623 + 11718*
    b298*b624 + 3906*b298*b625 + 11532*b298*b626 + 3870*b299*b311 + 2580*b299*
    b312 + 5246*b299*b313 + 6364*b299*b314 + 6622*b299*b315 + 6364*b299*b316 + 
    516*b299*b317 + 1118*b299*b318 + 4730*b299*b319 + 7482*b299*b320 + 688*b299
    *b322 + 4386*b299*b323 + 86*b299*b324 + 7826*b299*b325 + 7482*b299*b326 + 
    6192*b299*b327 + 3870*b299*b328 + 8256*b299*b329 + 602*b299*b330 + 7482*
    b299*b331 + 5848*b299*b332 + 1800*b299*b333 + 1200*b299*b334 + 2440*b299*
    b335 + 2960*b299*b336 + 3080*b299*b337 + 2960*b299*b338 + 240*b299*b339 + 
    520*b299*b340 + 2200*b299*b341 + 3480*b299*b342 + 320*b299*b344 + 2040*b299
    *b345 + 40*b299*b346 + 3640*b299*b347 + 3480*b299*b348 + 2880*b299*b349 + 
    1800*b299*b350 + 3840*b299*b351 + 280*b299*b352 + 3480*b299*b353 + 2720*
    b299*b354 + 6120*b299*b355 + 4080*b299*b356 + 8296*b299*b357 + 10064*b299*
    b358 + 10472*b299*b359 + 10064*b299*b360 + 816*b299*b361 + 1768*b299*b362
     + 7480*b299*b363 + 11832*b299*b364 + 1088*b299*b366 + 6936*b299*b367 + 136
    *b299*b368 + 12376*b299*b369 + 11832*b299*b370 + 9792*b299*b371 + 6120*b299
    *b372 + 13056*b299*b373 + 952*b299*b374 + 11832*b299*b375 + 9248*b299*b376
     + 3150*b299*b377 + 2100*b299*b378 + 4270*b299*b379 + 5180*b299*b380 + 5390
    *b299*b381 + 5180*b299*b382 + 420*b299*b383 + 910*b299*b384 + 3850*b299*
    b385 + 6090*b299*b386 + 560*b299*b388 + 3570*b299*b389 + 70*b299*b390 + 
    6370*b299*b391 + 6090*b299*b392 + 5040*b299*b393 + 3150*b299*b394 + 6720*
    b299*b395 + 490*b299*b396 + 6090*b299*b397 + 4760*b299*b398 + 5400*b299*
    b399 + 3600*b299*b400 + 7320*b299*b401 + 8880*b299*b402 + 9240*b299*b403 + 
    8880*b299*b404 + 720*b299*b405 + 1560*b299*b406 + 6600*b299*b407 + 10440*
    b299*b408 + 960*b299*b410 + 6120*b299*b411 + 120*b299*b412 + 10920*b299*
    b413 + 10440*b299*b414 + 8640*b299*b415 + 5400*b299*b416 + 11520*b299*b417
     + 840*b299*b418 + 10440*b299*b419 + 8160*b299*b420 + 2070*b299*b421 + 1380
    *b299*b422 + 2806*b299*b423 + 3404*b299*b424 + 3542*b299*b425 + 3404*b299*
    b426 + 276*b299*b427 + 598*b299*b428 + 2530*b299*b429 + 4002*b299*b430 + 
    368*b299*b432 + 2346*b299*b433 + 46*b299*b434 + 4186*b299*b435 + 4002*b299*
    b436 + 3312*b299*b437 + 2070*b299*b438 + 4416*b299*b439 + 322*b299*b440 + 
    4002*b299*b441 + 3128*b299*b442 + 4320*b299*b443 + 2880*b299*b444 + 5856*
    b299*b445 + 7104*b299*b446 + 7392*b299*b447 + 7104*b299*b448 + 576*b299*
    b449 + 1248*b299*b450 + 5280*b299*b451 + 8352*b299*b452 + 768*b299*b454 + 
    4896*b299*b455 + 96*b299*b456 + 8736*b299*b457 + 8352*b299*b458 + 6912*b299
    *b459 + 4320*b299*b460 + 9216*b299*b461 + 672*b299*b462 + 8352*b299*b463 + 
    6528*b299*b464 + 3600*b299*b465 + 2400*b299*b466 + 4880*b299*b467 + 5920*
    b299*b468 + 6160*b299*b469 + 5920*b299*b470 + 480*b299*b471 + 1040*b299*
    b472 + 4400*b299*b473 + 6960*b299*b474 + 640*b299*b476 + 4080*b299*b477 + 
    80*b299*b478 + 7280*b299*b479 + 6960*b299*b480 + 5760*b299*b481 + 3600*b299
    *b482 + 7680*b299*b483 + 560*b299*b484 + 6960*b299*b485 + 5440*b299*b486 + 
    900*b299*b487 + 600*b299*b488 + 1220*b299*b489 + 1480*b299*b490 + 1540*b299
    *b491 + 1480*b299*b492 + 120*b299*b493 + 260*b299*b494 + 1100*b299*b495 + 
    1740*b299*b496 + 160*b299*b498 + 1020*b299*b499 + 20*b299*b500 + 1820*b299*
    b501 + 1740*b299*b502 + 1440*b299*b503 + 900*b299*b504 + 1920*b299*b505 + 
    140*b299*b506 + 1740*b299*b507 + 1360*b299*b508 + 3780*b299*b509 + 2520*
    b299*b510 + 5124*b299*b511 + 6216*b299*b512 + 6468*b299*b513 + 6216*b299*
    b514 + 504*b299*b515 + 1092*b299*b516 + 4620*b299*b517 + 7308*b299*b518 + 
    672*b299*b520 + 4284*b299*b521 + 84*b299*b522 + 7644*b299*b523 + 7308*b299*
    b524 + 6048*b299*b525 + 3780*b299*b526 + 8064*b299*b527 + 588*b299*b528 + 
    7308*b299*b529 + 5712*b299*b530 + 12*b299*b531 + 78*b299*b532 + 66*b299*
    b533 + 408*b299*b534 + 2652*b299*b535 + 2244*b299*b536 + 744*b299*b537 + 
    4836*b299*b538 + 4092*b299*b539 + 216*b299*b540 + 1404*b299*b541 + 1188*
    b299*b542 + 672*b299*b543 + 4368*b299*b544 + 3696*b299*b545 + 804*b299*b546
     + 5226*b299*b547 + 4422*b299*b548 + 456*b299*b549 + 2964*b299*b550 + 2508*
    b299*b551 + 672*b299*b552 + 4368*b299*b553 + 3696*b299*b554 + 396*b299*b555
     + 2574*b299*b556 + 2178*b299*b557 + 840*b299*b558 + 5460*b299*b559 + 4620*
    b299*b560 + 1128*b299*b561 + 7332*b299*b562 + 6204*b299*b563 + 204*b299*
    b564 + 1326*b299*b565 + 1122*b299*b566 + 516*b299*b570 + 3354*b299*b571 + 
    2838*b299*b572 + 240*b299*b573 + 1560*b299*b574 + 1320*b299*b575 + 816*b299
    *b576 + 5304*b299*b577 + 4488*b299*b578 + 420*b299*b579 + 2730*b299*b580 + 
    2310*b299*b581 + 720*b299*b582 + 4680*b299*b583 + 3960*b299*b584 + 276*b299
    *b585 + 1794*b299*b586 + 1518*b299*b587 + 576*b299*b588 + 3744*b299*b589 + 
    3168*b299*b590 + 480*b299*b591 + 3120*b299*b592 + 2640*b299*b593 + 120*b299
    *b594 + 780*b299*b595 + 660*b299*b596 + 504*b299*b597 + 3276*b299*b598 + 
    2772*b299*b599 + 1200*b299*b600 + 2440*b299*b601 + 2960*b299*b602 + 3080*
    b299*b603 + 2960*b299*b604 + 240*b299*b605 + 520*b299*b606 + 2200*b299*b607
     + 3480*b299*b608 + 320*b299*b610 + 2040*b299*b611 + 40*b299*b612 + 3640*
    b299*b613 + 1560*b299*b614 + 3480*b299*b615 + 2880*b299*b616 + 1800*b299*
    b617 + 3840*b299*b618 + 280*b299*b619 + 3480*b299*b620 + 2720*b299*b621 + 
    1320*b299*b622 + 1800*b299*b623 + 1116*b299*b624 + 7254*b299*b625 + 6138*
    b299*b626 + 7826*b300*b311 + 7654*b300*b312 + 6880*b300*b313 + 3870*b300*
    b314 + 2752*b300*b315 + 3956*b300*b316 + 5074*b300*b318 + 1634*b300*b319 + 
    4988*b300*b320 + 688*b300*b321 + 258*b300*b323 + 1806*b300*b324 + 7740*b300
    *b325 + 4042*b300*b326 + 2150*b300*b327 + 2580*b300*b328 + 3698*b300*b329
     + 8342*b300*b330 + 2838*b300*b331 + 3010*b300*b332 + 3640*b300*b333 + 3560
    *b300*b334 + 3200*b300*b335 + 1800*b300*b336 + 1280*b300*b337 + 1840*b300*
    b338 + 2360*b300*b340 + 760*b300*b341 + 2320*b300*b342 + 320*b300*b343 + 
    120*b300*b345 + 840*b300*b346 + 3600*b300*b347 + 1880*b300*b348 + 1000*b300
    *b349 + 1200*b300*b350 + 1720*b300*b351 + 3880*b300*b352 + 1320*b300*b353
     + 1400*b300*b354 + 12376*b300*b355 + 12104*b300*b356 + 10880*b300*b357 + 
    6120*b300*b358 + 4352*b300*b359 + 6256*b300*b360 + 8024*b300*b362 + 2584*
    b300*b363 + 7888*b300*b364 + 1088*b300*b365 + 408*b300*b367 + 2856*b300*
    b368 + 12240*b300*b369 + 6392*b300*b370 + 3400*b300*b371 + 4080*b300*b372
     + 5848*b300*b373 + 13192*b300*b374 + 4488*b300*b375 + 4760*b300*b376 + 
    6370*b300*b377 + 6230*b300*b378 + 5600*b300*b379 + 3150*b300*b380 + 2240*
    b300*b381 + 3220*b300*b382 + 4130*b300*b384 + 1330*b300*b385 + 4060*b300*
    b386 + 560*b300*b387 + 210*b300*b389 + 1470*b300*b390 + 6300*b300*b391 + 
    3290*b300*b392 + 1750*b300*b393 + 2100*b300*b394 + 3010*b300*b395 + 6790*
    b300*b396 + 2310*b300*b397 + 2450*b300*b398 + 10920*b300*b399 + 10680*b300*
    b400 + 9600*b300*b401 + 5400*b300*b402 + 3840*b300*b403 + 5520*b300*b404 + 
    7080*b300*b406 + 2280*b300*b407 + 6960*b300*b408 + 960*b300*b409 + 360*b300
    *b411 + 2520*b300*b412 + 10800*b300*b413 + 5640*b300*b414 + 3000*b300*b415
     + 3600*b300*b416 + 5160*b300*b417 + 11640*b300*b418 + 3960*b300*b419 + 
    4200*b300*b420 + 4186*b300*b421 + 4094*b300*b422 + 3680*b300*b423 + 2070*
    b300*b424 + 1472*b300*b425 + 2116*b300*b426 + 2714*b300*b428 + 874*b300*
    b429 + 2668*b300*b430 + 368*b300*b431 + 138*b300*b433 + 966*b300*b434 + 
    4140*b300*b435 + 2162*b300*b436 + 1150*b300*b437 + 1380*b300*b438 + 1978*
    b300*b439 + 4462*b300*b440 + 1518*b300*b441 + 1610*b300*b442 + 8736*b300*
    b443 + 8544*b300*b444 + 7680*b300*b445 + 4320*b300*b446 + 3072*b300*b447 + 
    4416*b300*b448 + 5664*b300*b450 + 1824*b300*b451 + 5568*b300*b452 + 768*
    b300*b453 + 288*b300*b455 + 2016*b300*b456 + 8640*b300*b457 + 4512*b300*
    b458 + 2400*b300*b459 + 2880*b300*b460 + 4128*b300*b461 + 9312*b300*b462 + 
    3168*b300*b463 + 3360*b300*b464 + 7280*b300*b465 + 7120*b300*b466 + 6400*
    b300*b467 + 3600*b300*b468 + 2560*b300*b469 + 3680*b300*b470 + 4720*b300*
    b472 + 1520*b300*b473 + 4640*b300*b474 + 640*b300*b475 + 240*b300*b477 + 
    1680*b300*b478 + 7200*b300*b479 + 3760*b300*b480 + 2000*b300*b481 + 2400*
    b300*b482 + 3440*b300*b483 + 7760*b300*b484 + 2640*b300*b485 + 2800*b300*
    b486 + 1820*b300*b487 + 1780*b300*b488 + 1600*b300*b489 + 900*b300*b490 + 
    640*b300*b491 + 920*b300*b492 + 1180*b300*b494 + 380*b300*b495 + 1160*b300*
    b496 + 160*b300*b497 + 60*b300*b499 + 420*b300*b500 + 1800*b300*b501 + 940*
    b300*b502 + 500*b300*b503 + 600*b300*b504 + 860*b300*b505 + 1940*b300*b506
     + 660*b300*b507 + 700*b300*b508 + 7644*b300*b509 + 7476*b300*b510 + 6720*
    b300*b511 + 3780*b300*b512 + 2688*b300*b513 + 3864*b300*b514 + 4956*b300*
    b516 + 1596*b300*b517 + 4872*b300*b518 + 672*b300*b519 + 252*b300*b521 + 
    1764*b300*b522 + 7560*b300*b523 + 3948*b300*b524 + 2100*b300*b525 + 2520*
    b300*b526 + 3612*b300*b527 + 8148*b300*b528 + 2772*b300*b529 + 2940*b300*
    b530 + 88*b300*b531 + 90*b300*b532 + 122*b300*b533 + 2992*b300*b534 + 3060*
    b300*b535 + 4148*b300*b536 + 5456*b300*b537 + 5580*b300*b538 + 7564*b300*
    b539 + 1584*b300*b540 + 1620*b300*b541 + 2196*b300*b542 + 4928*b300*b543 + 
    5040*b300*b544 + 6832*b300*b545 + 5896*b300*b546 + 6030*b300*b547 + 8174*
    b300*b548 + 3344*b300*b549 + 3420*b300*b550 + 4636*b300*b551 + 4928*b300*
    b552 + 5040*b300*b553 + 6832*b300*b554 + 2904*b300*b555 + 2970*b300*b556 + 
    4026*b300*b557 + 6160*b300*b558 + 6300*b300*b559 + 8540*b300*b560 + 8272*
    b300*b561 + 8460*b300*b562 + 11468*b300*b563 + 1496*b300*b564 + 1530*b300*
    b565 + 2074*b300*b566 + 3784*b300*b570 + 3870*b300*b571 + 5246*b300*b572 + 
    1760*b300*b573 + 1800*b300*b574 + 2440*b300*b575 + 5984*b300*b576 + 6120*
    b300*b577 + 8296*b300*b578 + 3080*b300*b579 + 3150*b300*b580 + 4270*b300*
    b581 + 5280*b300*b582 + 5400*b300*b583 + 7320*b300*b584 + 2024*b300*b585 + 
    2070*b300*b586 + 2806*b300*b587 + 4224*b300*b588 + 4320*b300*b589 + 5856*
    b300*b590 + 3520*b300*b591 + 3600*b300*b592 + 4880*b300*b593 + 880*b300*
    b594 + 900*b300*b595 + 1220*b300*b596 + 3696*b300*b597 + 3780*b300*b598 + 
    5124*b300*b599 + 3560*b300*b600 + 3200*b300*b601 + 1800*b300*b602 + 1280*
    b300*b603 + 1840*b300*b604 + 2360*b300*b606 + 760*b300*b607 + 2320*b300*
    b608 + 320*b300*b609 + 120*b300*b611 + 840*b300*b612 + 3600*b300*b613 + 
    1800*b300*b614 + 1880*b300*b615 + 1000*b300*b616 + 1200*b300*b617 + 1720*
    b300*b618 + 3880*b300*b619 + 1320*b300*b620 + 1400*b300*b621 + 2440*b300*
    b622 + 3640*b300*b623 + 8184*b300*b624 + 8370*b300*b625 + 11346*b300*b626
     + 5074*b301*b311 + 6536*b301*b312 + 4988*b301*b313 + 5590*b301*b314 + 7482
    *b301*b315 + 1118*b301*b316 + 5332*b301*b317 + 4214*b301*b318 + 7310*b301*
    b319 + 1462*b301*b320 + 4386*b301*b321 + 258*b301*b322 + 3612*b301*b324 + 
    3096*b301*b325 + 602*b301*b326 + 7224*b301*b327 + 516*b301*b328 + 4128*b301
    *b331 + 5332*b301*b332 + 2360*b301*b333 + 3040*b301*b334 + 2320*b301*b335
     + 2600*b301*b336 + 3480*b301*b337 + 520*b301*b338 + 2480*b301*b339 + 1960*
    b301*b340 + 3400*b301*b341 + 680*b301*b342 + 2040*b301*b343 + 120*b301*b344
     + 1680*b301*b346 + 1440*b301*b347 + 280*b301*b348 + 3360*b301*b349 + 240*
    b301*b350 + 1920*b301*b353 + 2480*b301*b354 + 8024*b301*b355 + 10336*b301*
    b356 + 7888*b301*b357 + 8840*b301*b358 + 11832*b301*b359 + 1768*b301*b360
     + 8432*b301*b361 + 6664*b301*b362 + 11560*b301*b363 + 2312*b301*b364 + 
    6936*b301*b365 + 408*b301*b366 + 5712*b301*b368 + 4896*b301*b369 + 952*b301
    *b370 + 11424*b301*b371 + 816*b301*b372 + 6528*b301*b375 + 8432*b301*b376
     + 4130*b301*b377 + 5320*b301*b378 + 4060*b301*b379 + 4550*b301*b380 + 6090
    *b301*b381 + 910*b301*b382 + 4340*b301*b383 + 3430*b301*b384 + 5950*b301*
    b385 + 1190*b301*b386 + 3570*b301*b387 + 210*b301*b388 + 2940*b301*b390 + 
    2520*b301*b391 + 490*b301*b392 + 5880*b301*b393 + 420*b301*b394 + 3360*b301
    *b397 + 4340*b301*b398 + 7080*b301*b399 + 9120*b301*b400 + 6960*b301*b401
     + 7800*b301*b402 + 10440*b301*b403 + 1560*b301*b404 + 7440*b301*b405 + 
    5880*b301*b406 + 10200*b301*b407 + 2040*b301*b408 + 6120*b301*b409 + 360*
    b301*b410 + 5040*b301*b412 + 4320*b301*b413 + 840*b301*b414 + 10080*b301*
    b415 + 720*b301*b416 + 5760*b301*b419 + 7440*b301*b420 + 2714*b301*b421 + 
    3496*b301*b422 + 2668*b301*b423 + 2990*b301*b424 + 4002*b301*b425 + 598*
    b301*b426 + 2852*b301*b427 + 2254*b301*b428 + 3910*b301*b429 + 782*b301*
    b430 + 2346*b301*b431 + 138*b301*b432 + 1932*b301*b434 + 1656*b301*b435 + 
    322*b301*b436 + 3864*b301*b437 + 276*b301*b438 + 2208*b301*b441 + 2852*b301
    *b442 + 5664*b301*b443 + 7296*b301*b444 + 5568*b301*b445 + 6240*b301*b446
     + 8352*b301*b447 + 1248*b301*b448 + 5952*b301*b449 + 4704*b301*b450 + 8160
    *b301*b451 + 1632*b301*b452 + 4896*b301*b453 + 288*b301*b454 + 4032*b301*
    b456 + 3456*b301*b457 + 672*b301*b458 + 8064*b301*b459 + 576*b301*b460 + 
    4608*b301*b463 + 5952*b301*b464 + 4720*b301*b465 + 6080*b301*b466 + 4640*
    b301*b467 + 5200*b301*b468 + 6960*b301*b469 + 1040*b301*b470 + 4960*b301*
    b471 + 3920*b301*b472 + 6800*b301*b473 + 1360*b301*b474 + 4080*b301*b475 + 
    240*b301*b476 + 3360*b301*b478 + 2880*b301*b479 + 560*b301*b480 + 6720*b301
    *b481 + 480*b301*b482 + 3840*b301*b485 + 4960*b301*b486 + 1180*b301*b487 + 
    1520*b301*b488 + 1160*b301*b489 + 1300*b301*b490 + 1740*b301*b491 + 260*
    b301*b492 + 1240*b301*b493 + 980*b301*b494 + 1700*b301*b495 + 340*b301*b496
     + 1020*b301*b497 + 60*b301*b498 + 840*b301*b500 + 720*b301*b501 + 140*b301
    *b502 + 1680*b301*b503 + 120*b301*b504 + 960*b301*b507 + 1240*b301*b508 + 
    4956*b301*b509 + 6384*b301*b510 + 4872*b301*b511 + 5460*b301*b512 + 7308*
    b301*b513 + 1092*b301*b514 + 5208*b301*b515 + 4116*b301*b516 + 7140*b301*
    b517 + 1428*b301*b518 + 4284*b301*b519 + 252*b301*b520 + 3528*b301*b522 + 
    3024*b301*b523 + 588*b301*b524 + 7056*b301*b525 + 504*b301*b526 + 4032*b301
    *b529 + 5208*b301*b530 + 80*b301*b531 + 86*b301*b532 + 118*b301*b533 + 2720
    *b301*b534 + 2924*b301*b535 + 4012*b301*b536 + 4960*b301*b537 + 5332*b301*
    b538 + 7316*b301*b539 + 1440*b301*b540 + 1548*b301*b541 + 2124*b301*b542 + 
    4480*b301*b543 + 4816*b301*b544 + 6608*b301*b545 + 5360*b301*b546 + 5762*
    b301*b547 + 7906*b301*b548 + 3040*b301*b549 + 3268*b301*b550 + 4484*b301*
    b551 + 4480*b301*b552 + 4816*b301*b553 + 6608*b301*b554 + 2640*b301*b555 + 
    2838*b301*b556 + 3894*b301*b557 + 5600*b301*b558 + 6020*b301*b559 + 8260*
    b301*b560 + 7520*b301*b561 + 8084*b301*b562 + 11092*b301*b563 + 1360*b301*
    b564 + 1462*b301*b565 + 2006*b301*b566 + 3440*b301*b570 + 3698*b301*b571 + 
    5074*b301*b572 + 1600*b301*b573 + 1720*b301*b574 + 2360*b301*b575 + 5440*
    b301*b576 + 5848*b301*b577 + 8024*b301*b578 + 2800*b301*b579 + 3010*b301*
    b580 + 4130*b301*b581 + 4800*b301*b582 + 5160*b301*b583 + 7080*b301*b584 + 
    1840*b301*b585 + 1978*b301*b586 + 2714*b301*b587 + 3840*b301*b588 + 4128*
    b301*b589 + 5664*b301*b590 + 3200*b301*b591 + 3440*b301*b592 + 4720*b301*
    b593 + 800*b301*b594 + 860*b301*b595 + 1180*b301*b596 + 3360*b301*b597 + 
    3612*b301*b598 + 4956*b301*b599 + 3040*b301*b600 + 2320*b301*b601 + 2600*
    b301*b602 + 3480*b301*b603 + 520*b301*b604 + 2480*b301*b605 + 1960*b301*
    b606 + 3400*b301*b607 + 680*b301*b608 + 2040*b301*b609 + 120*b301*b610 + 
    1680*b301*b612 + 1440*b301*b613 + 1720*b301*b614 + 280*b301*b615 + 3360*
    b301*b616 + 240*b301*b617 + 1920*b301*b620 + 2480*b301*b621 + 2360*b301*
    b622 + 2360*b301*b623 + 7440*b301*b624 + 7998*b301*b625 + 10974*b301*b626
     + 1548*b302*b311 + 6536*b302*b312 + 1806*b302*b313 + 3440*b302*b314 + 5762
    *b302*b315 + 1720*b302*b316 + 3526*b302*b317 + 7310*b302*b318 + 4472*b302*
    b319 + 5848*b302*b320 + 86*b302*b321 + 1806*b302*b322 + 3612*b302*b323 + 
    2494*b302*b325 + 7052*b302*b326 + 2494*b302*b327 + 258*b302*b328 + 258*b302
    *b329 + 4386*b302*b330 + 5762*b302*b331 + 3354*b302*b332 + 720*b302*b333 + 
    3040*b302*b334 + 840*b302*b335 + 1600*b302*b336 + 2680*b302*b337 + 800*b302
    *b338 + 1640*b302*b339 + 3400*b302*b340 + 2080*b302*b341 + 2720*b302*b342
     + 40*b302*b343 + 840*b302*b344 + 1680*b302*b345 + 1160*b302*b347 + 3280*
    b302*b348 + 1160*b302*b349 + 120*b302*b350 + 120*b302*b351 + 2040*b302*b352
     + 2680*b302*b353 + 1560*b302*b354 + 2448*b302*b355 + 10336*b302*b356 + 
    2856*b302*b357 + 5440*b302*b358 + 9112*b302*b359 + 2720*b302*b360 + 5576*
    b302*b361 + 11560*b302*b362 + 7072*b302*b363 + 9248*b302*b364 + 136*b302*
    b365 + 2856*b302*b366 + 5712*b302*b367 + 3944*b302*b369 + 11152*b302*b370
     + 3944*b302*b371 + 408*b302*b372 + 408*b302*b373 + 6936*b302*b374 + 9112*
    b302*b375 + 5304*b302*b376 + 1260*b302*b377 + 5320*b302*b378 + 1470*b302*
    b379 + 2800*b302*b380 + 4690*b302*b381 + 1400*b302*b382 + 2870*b302*b383 + 
    5950*b302*b384 + 3640*b302*b385 + 4760*b302*b386 + 70*b302*b387 + 1470*b302
    *b388 + 2940*b302*b389 + 2030*b302*b391 + 5740*b302*b392 + 2030*b302*b393
     + 210*b302*b394 + 210*b302*b395 + 3570*b302*b396 + 4690*b302*b397 + 2730*
    b302*b398 + 2160*b302*b399 + 9120*b302*b400 + 2520*b302*b401 + 4800*b302*
    b402 + 8040*b302*b403 + 2400*b302*b404 + 4920*b302*b405 + 10200*b302*b406
     + 6240*b302*b407 + 8160*b302*b408 + 120*b302*b409 + 2520*b302*b410 + 5040*
    b302*b411 + 3480*b302*b413 + 9840*b302*b414 + 3480*b302*b415 + 360*b302*
    b416 + 360*b302*b417 + 6120*b302*b418 + 8040*b302*b419 + 4680*b302*b420 + 
    828*b302*b421 + 3496*b302*b422 + 966*b302*b423 + 1840*b302*b424 + 3082*b302
    *b425 + 920*b302*b426 + 1886*b302*b427 + 3910*b302*b428 + 2392*b302*b429 + 
    3128*b302*b430 + 46*b302*b431 + 966*b302*b432 + 1932*b302*b433 + 1334*b302*
    b435 + 3772*b302*b436 + 1334*b302*b437 + 138*b302*b438 + 138*b302*b439 + 
    2346*b302*b440 + 3082*b302*b441 + 1794*b302*b442 + 1728*b302*b443 + 7296*
    b302*b444 + 2016*b302*b445 + 3840*b302*b446 + 6432*b302*b447 + 1920*b302*
    b448 + 3936*b302*b449 + 8160*b302*b450 + 4992*b302*b451 + 6528*b302*b452 + 
    96*b302*b453 + 2016*b302*b454 + 4032*b302*b455 + 2784*b302*b457 + 7872*b302
    *b458 + 2784*b302*b459 + 288*b302*b460 + 288*b302*b461 + 4896*b302*b462 + 
    6432*b302*b463 + 3744*b302*b464 + 1440*b302*b465 + 6080*b302*b466 + 1680*
    b302*b467 + 3200*b302*b468 + 5360*b302*b469 + 1600*b302*b470 + 3280*b302*
    b471 + 6800*b302*b472 + 4160*b302*b473 + 5440*b302*b474 + 80*b302*b475 + 
    1680*b302*b476 + 3360*b302*b477 + 2320*b302*b479 + 6560*b302*b480 + 2320*
    b302*b481 + 240*b302*b482 + 240*b302*b483 + 4080*b302*b484 + 5360*b302*b485
     + 3120*b302*b486 + 360*b302*b487 + 1520*b302*b488 + 420*b302*b489 + 800*
    b302*b490 + 1340*b302*b491 + 400*b302*b492 + 820*b302*b493 + 1700*b302*b494
     + 1040*b302*b495 + 1360*b302*b496 + 20*b302*b497 + 420*b302*b498 + 840*
    b302*b499 + 580*b302*b501 + 1640*b302*b502 + 580*b302*b503 + 60*b302*b504
     + 60*b302*b505 + 1020*b302*b506 + 1340*b302*b507 + 780*b302*b508 + 1512*
    b302*b509 + 6384*b302*b510 + 1764*b302*b511 + 3360*b302*b512 + 5628*b302*
    b513 + 1680*b302*b514 + 3444*b302*b515 + 7140*b302*b516 + 4368*b302*b517 + 
    5712*b302*b518 + 84*b302*b519 + 1764*b302*b520 + 3528*b302*b521 + 2436*b302
    *b523 + 6888*b302*b524 + 2436*b302*b525 + 252*b302*b526 + 252*b302*b527 + 
    4284*b302*b528 + 5628*b302*b529 + 3276*b302*b530 + 150*b302*b531 + 188*b302
    *b532 + 30*b302*b533 + 5100*b302*b534 + 6392*b302*b535 + 1020*b302*b536 + 
    9300*b302*b537 + 11656*b302*b538 + 1860*b302*b539 + 2700*b302*b540 + 3384*
    b302*b541 + 540*b302*b542 + 8400*b302*b543 + 10528*b302*b544 + 1680*b302*
    b545 + 10050*b302*b546 + 12596*b302*b547 + 2010*b302*b548 + 5700*b302*b549
     + 7144*b302*b550 + 1140*b302*b551 + 8400*b302*b552 + 10528*b302*b553 + 
    1680*b302*b554 + 4950*b302*b555 + 6204*b302*b556 + 990*b302*b557 + 10500*
    b302*b558 + 13160*b302*b559 + 2100*b302*b560 + 14100*b302*b561 + 17672*b302
    *b562 + 2820*b302*b563 + 2550*b302*b564 + 3196*b302*b565 + 510*b302*b566 + 
    6450*b302*b570 + 8084*b302*b571 + 1290*b302*b572 + 3000*b302*b573 + 3760*
    b302*b574 + 600*b302*b575 + 10200*b302*b576 + 12784*b302*b577 + 2040*b302*
    b578 + 5250*b302*b579 + 6580*b302*b580 + 1050*b302*b581 + 9000*b302*b582 + 
    11280*b302*b583 + 1800*b302*b584 + 3450*b302*b585 + 4324*b302*b586 + 690*
    b302*b587 + 7200*b302*b588 + 9024*b302*b589 + 1440*b302*b590 + 6000*b302*
    b591 + 7520*b302*b592 + 1200*b302*b593 + 1500*b302*b594 + 1880*b302*b595 + 
    300*b302*b596 + 6300*b302*b597 + 7896*b302*b598 + 1260*b302*b599 + 3040*
    b302*b600 + 840*b302*b601 + 1600*b302*b602 + 2680*b302*b603 + 800*b302*b604
     + 1640*b302*b605 + 3400*b302*b606 + 2080*b302*b607 + 2720*b302*b608 + 40*
    b302*b609 + 840*b302*b610 + 1680*b302*b611 + 1160*b302*b613 + 3760*b302*
    b614 + 3280*b302*b615 + 1160*b302*b616 + 120*b302*b617 + 120*b302*b618 + 
    2040*b302*b619 + 2680*b302*b620 + 1560*b302*b621 + 600*b302*b622 + 720*b302
    *b623 + 13950*b302*b624 + 17484*b302*b625 + 2790*b302*b626 + 6536*b303*b311
     + 3440*b303*b312 + 6536*b303*b313 + 4644*b303*b314 + 8084*b303*b315 + 7396
    *b303*b316 + 5332*b303*b317 + 7224*b303*b318 + 2924*b303*b319 + 2322*b303*
    b320 + 7826*b303*b321 + 7740*b303*b322 + 3096*b303*b323 + 2494*b303*b324 + 
    3612*b303*b326 + 1978*b303*b327 + 5332*b303*b328 + 5332*b303*b329 + 2408*
    b303*b330 + 6536*b303*b331 + 5676*b303*b332 + 3040*b303*b333 + 1600*b303*
    b334 + 3040*b303*b335 + 2160*b303*b336 + 3760*b303*b337 + 3440*b303*b338 + 
    2480*b303*b339 + 3360*b303*b340 + 1360*b303*b341 + 1080*b303*b342 + 3640*
    b303*b343 + 3600*b303*b344 + 1440*b303*b345 + 1160*b303*b346 + 1680*b303*
    b348 + 920*b303*b349 + 2480*b303*b350 + 2480*b303*b351 + 1120*b303*b352 + 
    3040*b303*b353 + 2640*b303*b354 + 10336*b303*b355 + 5440*b303*b356 + 10336*
    b303*b357 + 7344*b303*b358 + 12784*b303*b359 + 11696*b303*b360 + 8432*b303*
    b361 + 11424*b303*b362 + 4624*b303*b363 + 3672*b303*b364 + 12376*b303*b365
     + 12240*b303*b366 + 4896*b303*b367 + 3944*b303*b368 + 5712*b303*b370 + 
    3128*b303*b371 + 8432*b303*b372 + 8432*b303*b373 + 3808*b303*b374 + 10336*
    b303*b375 + 8976*b303*b376 + 5320*b303*b377 + 2800*b303*b378 + 5320*b303*
    b379 + 3780*b303*b380 + 6580*b303*b381 + 6020*b303*b382 + 4340*b303*b383 + 
    5880*b303*b384 + 2380*b303*b385 + 1890*b303*b386 + 6370*b303*b387 + 6300*
    b303*b388 + 2520*b303*b389 + 2030*b303*b390 + 2940*b303*b392 + 1610*b303*
    b393 + 4340*b303*b394 + 4340*b303*b395 + 1960*b303*b396 + 5320*b303*b397 + 
    4620*b303*b398 + 9120*b303*b399 + 4800*b303*b400 + 9120*b303*b401 + 6480*
    b303*b402 + 11280*b303*b403 + 10320*b303*b404 + 7440*b303*b405 + 10080*b303
    *b406 + 4080*b303*b407 + 3240*b303*b408 + 10920*b303*b409 + 10800*b303*b410
     + 4320*b303*b411 + 3480*b303*b412 + 5040*b303*b414 + 2760*b303*b415 + 7440
    *b303*b416 + 7440*b303*b417 + 3360*b303*b418 + 9120*b303*b419 + 7920*b303*
    b420 + 3496*b303*b421 + 1840*b303*b422 + 3496*b303*b423 + 2484*b303*b424 + 
    4324*b303*b425 + 3956*b303*b426 + 2852*b303*b427 + 3864*b303*b428 + 1564*
    b303*b429 + 1242*b303*b430 + 4186*b303*b431 + 4140*b303*b432 + 1656*b303*
    b433 + 1334*b303*b434 + 1932*b303*b436 + 1058*b303*b437 + 2852*b303*b438 + 
    2852*b303*b439 + 1288*b303*b440 + 3496*b303*b441 + 3036*b303*b442 + 7296*
    b303*b443 + 3840*b303*b444 + 7296*b303*b445 + 5184*b303*b446 + 9024*b303*
    b447 + 8256*b303*b448 + 5952*b303*b449 + 8064*b303*b450 + 3264*b303*b451 + 
    2592*b303*b452 + 8736*b303*b453 + 8640*b303*b454 + 3456*b303*b455 + 2784*
    b303*b456 + 4032*b303*b458 + 2208*b303*b459 + 5952*b303*b460 + 5952*b303*
    b461 + 2688*b303*b462 + 7296*b303*b463 + 6336*b303*b464 + 6080*b303*b465 + 
    3200*b303*b466 + 6080*b303*b467 + 4320*b303*b468 + 7520*b303*b469 + 6880*
    b303*b470 + 4960*b303*b471 + 6720*b303*b472 + 2720*b303*b473 + 2160*b303*
    b474 + 7280*b303*b475 + 7200*b303*b476 + 2880*b303*b477 + 2320*b303*b478 + 
    3360*b303*b480 + 1840*b303*b481 + 4960*b303*b482 + 4960*b303*b483 + 2240*
    b303*b484 + 6080*b303*b485 + 5280*b303*b486 + 1520*b303*b487 + 800*b303*
    b488 + 1520*b303*b489 + 1080*b303*b490 + 1880*b303*b491 + 1720*b303*b492 + 
    1240*b303*b493 + 1680*b303*b494 + 680*b303*b495 + 540*b303*b496 + 1820*b303
    *b497 + 1800*b303*b498 + 720*b303*b499 + 580*b303*b500 + 840*b303*b502 + 
    460*b303*b503 + 1240*b303*b504 + 1240*b303*b505 + 560*b303*b506 + 1520*b303
    *b507 + 1320*b303*b508 + 6384*b303*b509 + 3360*b303*b510 + 6384*b303*b511
     + 4536*b303*b512 + 7896*b303*b513 + 7224*b303*b514 + 5208*b303*b515 + 7056
    *b303*b516 + 2856*b303*b517 + 2268*b303*b518 + 7644*b303*b519 + 7560*b303*
    b520 + 3024*b303*b521 + 2436*b303*b522 + 3528*b303*b524 + 1932*b303*b525 + 
    5208*b303*b526 + 5208*b303*b527 + 2352*b303*b528 + 6384*b303*b529 + 5544*
    b303*b530 + 158*b303*b531 + 132*b303*b532 + 164*b303*b533 + 5372*b303*b534
     + 4488*b303*b535 + 5576*b303*b536 + 9796*b303*b537 + 8184*b303*b538 + 
    10168*b303*b539 + 2844*b303*b540 + 2376*b303*b541 + 2952*b303*b542 + 8848*
    b303*b543 + 7392*b303*b544 + 9184*b303*b545 + 10586*b303*b546 + 8844*b303*
    b547 + 10988*b303*b548 + 6004*b303*b549 + 5016*b303*b550 + 6232*b303*b551
     + 8848*b303*b552 + 7392*b303*b553 + 9184*b303*b554 + 5214*b303*b555 + 4356
    *b303*b556 + 5412*b303*b557 + 11060*b303*b558 + 9240*b303*b559 + 11480*b303
    *b560 + 14852*b303*b561 + 12408*b303*b562 + 15416*b303*b563 + 2686*b303*
    b564 + 2244*b303*b565 + 2788*b303*b566 + 6794*b303*b570 + 5676*b303*b571 + 
    7052*b303*b572 + 3160*b303*b573 + 2640*b303*b574 + 3280*b303*b575 + 10744*
    b303*b576 + 8976*b303*b577 + 11152*b303*b578 + 5530*b303*b579 + 4620*b303*
    b580 + 5740*b303*b581 + 9480*b303*b582 + 7920*b303*b583 + 9840*b303*b584 + 
    3634*b303*b585 + 3036*b303*b586 + 3772*b303*b587 + 7584*b303*b588 + 6336*
    b303*b589 + 7872*b303*b590 + 6320*b303*b591 + 5280*b303*b592 + 6560*b303*
    b593 + 1580*b303*b594 + 1320*b303*b595 + 1640*b303*b596 + 6636*b303*b597 + 
    5544*b303*b598 + 6888*b303*b599 + 1600*b303*b600 + 3040*b303*b601 + 2160*
    b303*b602 + 3760*b303*b603 + 3440*b303*b604 + 2480*b303*b605 + 3360*b303*
    b606 + 1360*b303*b607 + 1080*b303*b608 + 3640*b303*b609 + 3600*b303*b610 + 
    1440*b303*b611 + 1160*b303*b612 + 2640*b303*b614 + 1680*b303*b615 + 920*
    b303*b616 + 2480*b303*b617 + 2480*b303*b618 + 1120*b303*b619 + 3040*b303*
    b620 + 2640*b303*b621 + 3280*b303*b622 + 3040*b303*b623 + 14694*b303*b624
     + 12276*b303*b625 + 15252*b303*b626 + 1548*b304*b311 + 4816*b304*b312 + 
    3784*b304*b313 + 1204*b304*b314 + 172*b304*b315 + 6622*b304*b316 + 2150*
    b304*b317 + 3268*b304*b318 + 3440*b304*b319 + 516*b304*b320 + 7482*b304*
    b321 + 4042*b304*b322 + 602*b304*b323 + 7052*b304*b324 + 3612*b304*b325 + 
    7396*b304*b327 + 5160*b304*b328 + 5332*b304*b329 + 5332*b304*b330 + 7138*
    b304*b331 + 7826*b304*b332 + 720*b304*b333 + 2240*b304*b334 + 1760*b304*
    b335 + 560*b304*b336 + 80*b304*b337 + 3080*b304*b338 + 1000*b304*b339 + 
    1520*b304*b340 + 1600*b304*b341 + 240*b304*b342 + 3480*b304*b343 + 1880*
    b304*b344 + 280*b304*b345 + 3280*b304*b346 + 1680*b304*b347 + 3440*b304*
    b349 + 2400*b304*b350 + 2480*b304*b351 + 2480*b304*b352 + 3320*b304*b353 + 
    3640*b304*b354 + 2448*b304*b355 + 7616*b304*b356 + 5984*b304*b357 + 1904*
    b304*b358 + 272*b304*b359 + 10472*b304*b360 + 3400*b304*b361 + 5168*b304*
    b362 + 5440*b304*b363 + 816*b304*b364 + 11832*b304*b365 + 6392*b304*b366 + 
    952*b304*b367 + 11152*b304*b368 + 5712*b304*b369 + 11696*b304*b371 + 8160*
    b304*b372 + 8432*b304*b373 + 8432*b304*b374 + 11288*b304*b375 + 12376*b304*
    b376 + 1260*b304*b377 + 3920*b304*b378 + 3080*b304*b379 + 980*b304*b380 + 
    140*b304*b381 + 5390*b304*b382 + 1750*b304*b383 + 2660*b304*b384 + 2800*
    b304*b385 + 420*b304*b386 + 6090*b304*b387 + 3290*b304*b388 + 490*b304*b389
     + 5740*b304*b390 + 2940*b304*b391 + 6020*b304*b393 + 4200*b304*b394 + 4340
    *b304*b395 + 4340*b304*b396 + 5810*b304*b397 + 6370*b304*b398 + 2160*b304*
    b399 + 6720*b304*b400 + 5280*b304*b401 + 1680*b304*b402 + 240*b304*b403 + 
    9240*b304*b404 + 3000*b304*b405 + 4560*b304*b406 + 4800*b304*b407 + 720*
    b304*b408 + 10440*b304*b409 + 5640*b304*b410 + 840*b304*b411 + 9840*b304*
    b412 + 5040*b304*b413 + 10320*b304*b415 + 7200*b304*b416 + 7440*b304*b417
     + 7440*b304*b418 + 9960*b304*b419 + 10920*b304*b420 + 828*b304*b421 + 2576
    *b304*b422 + 2024*b304*b423 + 644*b304*b424 + 92*b304*b425 + 3542*b304*b426
     + 1150*b304*b427 + 1748*b304*b428 + 1840*b304*b429 + 276*b304*b430 + 4002*
    b304*b431 + 2162*b304*b432 + 322*b304*b433 + 3772*b304*b434 + 1932*b304*
    b435 + 3956*b304*b437 + 2760*b304*b438 + 2852*b304*b439 + 2852*b304*b440 + 
    3818*b304*b441 + 4186*b304*b442 + 1728*b304*b443 + 5376*b304*b444 + 4224*
    b304*b445 + 1344*b304*b446 + 192*b304*b447 + 7392*b304*b448 + 2400*b304*
    b449 + 3648*b304*b450 + 3840*b304*b451 + 576*b304*b452 + 8352*b304*b453 + 
    4512*b304*b454 + 672*b304*b455 + 7872*b304*b456 + 4032*b304*b457 + 8256*
    b304*b459 + 5760*b304*b460 + 5952*b304*b461 + 5952*b304*b462 + 7968*b304*
    b463 + 8736*b304*b464 + 1440*b304*b465 + 4480*b304*b466 + 3520*b304*b467 + 
    1120*b304*b468 + 160*b304*b469 + 6160*b304*b470 + 2000*b304*b471 + 3040*
    b304*b472 + 3200*b304*b473 + 480*b304*b474 + 6960*b304*b475 + 3760*b304*
    b476 + 560*b304*b477 + 6560*b304*b478 + 3360*b304*b479 + 6880*b304*b481 + 
    4800*b304*b482 + 4960*b304*b483 + 4960*b304*b484 + 6640*b304*b485 + 7280*
    b304*b486 + 360*b304*b487 + 1120*b304*b488 + 880*b304*b489 + 280*b304*b490
     + 40*b304*b491 + 1540*b304*b492 + 500*b304*b493 + 760*b304*b494 + 800*b304
    *b495 + 120*b304*b496 + 1740*b304*b497 + 940*b304*b498 + 140*b304*b499 + 
    1640*b304*b500 + 840*b304*b501 + 1720*b304*b503 + 1200*b304*b504 + 1240*
    b304*b505 + 1240*b304*b506 + 1660*b304*b507 + 1820*b304*b508 + 1512*b304*
    b509 + 4704*b304*b510 + 3696*b304*b511 + 1176*b304*b512 + 168*b304*b513 + 
    6468*b304*b514 + 2100*b304*b515 + 3192*b304*b516 + 3360*b304*b517 + 504*
    b304*b518 + 7308*b304*b519 + 3948*b304*b520 + 588*b304*b521 + 6888*b304*
    b522 + 3528*b304*b523 + 7224*b304*b525 + 5040*b304*b526 + 5208*b304*b527 + 
    5208*b304*b528 + 6972*b304*b529 + 7644*b304*b530 + 178*b304*b531 + 196*b304
    *b532 + 114*b304*b533 + 6052*b304*b534 + 6664*b304*b535 + 3876*b304*b536 + 
    11036*b304*b537 + 12152*b304*b538 + 7068*b304*b539 + 3204*b304*b540 + 3528*
    b304*b541 + 2052*b304*b542 + 9968*b304*b543 + 10976*b304*b544 + 6384*b304*
    b545 + 11926*b304*b546 + 13132*b304*b547 + 7638*b304*b548 + 6764*b304*b549
     + 7448*b304*b550 + 4332*b304*b551 + 9968*b304*b552 + 10976*b304*b553 + 
    6384*b304*b554 + 5874*b304*b555 + 6468*b304*b556 + 3762*b304*b557 + 12460*
    b304*b558 + 13720*b304*b559 + 7980*b304*b560 + 16732*b304*b561 + 18424*b304
    *b562 + 10716*b304*b563 + 3026*b304*b564 + 3332*b304*b565 + 1938*b304*b566
     + 7654*b304*b570 + 8428*b304*b571 + 4902*b304*b572 + 3560*b304*b573 + 3920
    *b304*b574 + 2280*b304*b575 + 12104*b304*b576 + 13328*b304*b577 + 7752*b304
    *b578 + 6230*b304*b579 + 6860*b304*b580 + 3990*b304*b581 + 10680*b304*b582
     + 11760*b304*b583 + 6840*b304*b584 + 4094*b304*b585 + 4508*b304*b586 + 
    2622*b304*b587 + 8544*b304*b588 + 9408*b304*b589 + 5472*b304*b590 + 7120*
    b304*b591 + 7840*b304*b592 + 4560*b304*b593 + 1780*b304*b594 + 1960*b304*
    b595 + 1140*b304*b596 + 7476*b304*b597 + 8232*b304*b598 + 4788*b304*b599 + 
    2240*b304*b600 + 1760*b304*b601 + 560*b304*b602 + 80*b304*b603 + 3080*b304*
    b604 + 1000*b304*b605 + 1520*b304*b606 + 1600*b304*b607 + 240*b304*b608 + 
    3480*b304*b609 + 1880*b304*b610 + 280*b304*b611 + 3280*b304*b612 + 1680*
    b304*b613 + 3920*b304*b614 + 3440*b304*b616 + 2400*b304*b617 + 2480*b304*
    b618 + 2480*b304*b619 + 3320*b304*b620 + 3640*b304*b621 + 2280*b304*b622 + 
    720*b304*b623 + 16554*b304*b624 + 18228*b304*b625 + 10602*b304*b626 + 4902*
    b305*b311 + 86*b305*b312 + 7310*b305*b313 + 6106*b305*b314 + 860*b305*b315
     + 1290*b305*b316 + 6450*b305*b317 + 3526*b305*b318 + 5934*b305*b319 + 5762
    *b305*b320 + 6192*b305*b321 + 2150*b305*b322 + 7224*b305*b323 + 2494*b305*
    b324 + 1978*b305*b325 + 7396*b305*b326 + 5332*b305*b328 + 3096*b305*b329 + 
    172*b305*b330 + 172*b305*b331 + 3698*b305*b332 + 2280*b305*b333 + 40*b305*
    b334 + 3400*b305*b335 + 2840*b305*b336 + 400*b305*b337 + 600*b305*b338 + 
    3000*b305*b339 + 1640*b305*b340 + 2760*b305*b341 + 2680*b305*b342 + 2880*
    b305*b343 + 1000*b305*b344 + 3360*b305*b345 + 1160*b305*b346 + 920*b305*
    b347 + 3440*b305*b348 + 2480*b305*b350 + 1440*b305*b351 + 80*b305*b352 + 80
    *b305*b353 + 1720*b305*b354 + 7752*b305*b355 + 136*b305*b356 + 11560*b305*
    b357 + 9656*b305*b358 + 1360*b305*b359 + 2040*b305*b360 + 10200*b305*b361
     + 5576*b305*b362 + 9384*b305*b363 + 9112*b305*b364 + 9792*b305*b365 + 3400
    *b305*b366 + 11424*b305*b367 + 3944*b305*b368 + 3128*b305*b369 + 11696*b305
    *b370 + 8432*b305*b372 + 4896*b305*b373 + 272*b305*b374 + 272*b305*b375 + 
    5848*b305*b376 + 3990*b305*b377 + 70*b305*b378 + 5950*b305*b379 + 4970*b305
    *b380 + 700*b305*b381 + 1050*b305*b382 + 5250*b305*b383 + 2870*b305*b384 + 
    4830*b305*b385 + 4690*b305*b386 + 5040*b305*b387 + 1750*b305*b388 + 5880*
    b305*b389 + 2030*b305*b390 + 1610*b305*b391 + 6020*b305*b392 + 4340*b305*
    b394 + 2520*b305*b395 + 140*b305*b396 + 140*b305*b397 + 3010*b305*b398 + 
    6840*b305*b399 + 120*b305*b400 + 10200*b305*b401 + 8520*b305*b402 + 1200*
    b305*b403 + 1800*b305*b404 + 9000*b305*b405 + 4920*b305*b406 + 8280*b305*
    b407 + 8040*b305*b408 + 8640*b305*b409 + 3000*b305*b410 + 10080*b305*b411
     + 3480*b305*b412 + 2760*b305*b413 + 10320*b305*b414 + 7440*b305*b416 + 
    4320*b305*b417 + 240*b305*b418 + 240*b305*b419 + 5160*b305*b420 + 2622*b305
    *b421 + 46*b305*b422 + 3910*b305*b423 + 3266*b305*b424 + 460*b305*b425 + 
    690*b305*b426 + 3450*b305*b427 + 1886*b305*b428 + 3174*b305*b429 + 3082*
    b305*b430 + 3312*b305*b431 + 1150*b305*b432 + 3864*b305*b433 + 1334*b305*
    b434 + 1058*b305*b435 + 3956*b305*b436 + 2852*b305*b438 + 1656*b305*b439 + 
    92*b305*b440 + 92*b305*b441 + 1978*b305*b442 + 5472*b305*b443 + 96*b305*
    b444 + 8160*b305*b445 + 6816*b305*b446 + 960*b305*b447 + 1440*b305*b448 + 
    7200*b305*b449 + 3936*b305*b450 + 6624*b305*b451 + 6432*b305*b452 + 6912*
    b305*b453 + 2400*b305*b454 + 8064*b305*b455 + 2784*b305*b456 + 2208*b305*
    b457 + 8256*b305*b458 + 5952*b305*b460 + 3456*b305*b461 + 192*b305*b462 + 
    192*b305*b463 + 4128*b305*b464 + 4560*b305*b465 + 80*b305*b466 + 6800*b305*
    b467 + 5680*b305*b468 + 800*b305*b469 + 1200*b305*b470 + 6000*b305*b471 + 
    3280*b305*b472 + 5520*b305*b473 + 5360*b305*b474 + 5760*b305*b475 + 2000*
    b305*b476 + 6720*b305*b477 + 2320*b305*b478 + 1840*b305*b479 + 6880*b305*
    b480 + 4960*b305*b482 + 2880*b305*b483 + 160*b305*b484 + 160*b305*b485 + 
    3440*b305*b486 + 1140*b305*b487 + 20*b305*b488 + 1700*b305*b489 + 1420*b305
    *b490 + 200*b305*b491 + 300*b305*b492 + 1500*b305*b493 + 820*b305*b494 + 
    1380*b305*b495 + 1340*b305*b496 + 1440*b305*b497 + 500*b305*b498 + 1680*
    b305*b499 + 580*b305*b500 + 460*b305*b501 + 1720*b305*b502 + 1240*b305*b504
     + 720*b305*b505 + 40*b305*b506 + 40*b305*b507 + 860*b305*b508 + 4788*b305*
    b509 + 84*b305*b510 + 7140*b305*b511 + 5964*b305*b512 + 840*b305*b513 + 
    1260*b305*b514 + 6300*b305*b515 + 3444*b305*b516 + 5796*b305*b517 + 5628*
    b305*b518 + 6048*b305*b519 + 2100*b305*b520 + 7056*b305*b521 + 2436*b305*
    b522 + 1932*b305*b523 + 7224*b305*b524 + 5208*b305*b526 + 3024*b305*b527 + 
    168*b305*b528 + 168*b305*b529 + 3612*b305*b530 + 70*b305*b531 + 70*b305*
    b532 + 130*b305*b533 + 2380*b305*b534 + 2380*b305*b535 + 4420*b305*b536 + 
    4340*b305*b537 + 4340*b305*b538 + 8060*b305*b539 + 1260*b305*b540 + 1260*
    b305*b541 + 2340*b305*b542 + 3920*b305*b543 + 3920*b305*b544 + 7280*b305*
    b545 + 4690*b305*b546 + 4690*b305*b547 + 8710*b305*b548 + 2660*b305*b549 + 
    2660*b305*b550 + 4940*b305*b551 + 3920*b305*b552 + 3920*b305*b553 + 7280*
    b305*b554 + 2310*b305*b555 + 2310*b305*b556 + 4290*b305*b557 + 4900*b305*
    b558 + 4900*b305*b559 + 9100*b305*b560 + 6580*b305*b561 + 6580*b305*b562 + 
    12220*b305*b563 + 1190*b305*b564 + 1190*b305*b565 + 2210*b305*b566 + 3010*
    b305*b570 + 3010*b305*b571 + 5590*b305*b572 + 1400*b305*b573 + 1400*b305*
    b574 + 2600*b305*b575 + 4760*b305*b576 + 4760*b305*b577 + 8840*b305*b578 + 
    2450*b305*b579 + 2450*b305*b580 + 4550*b305*b581 + 4200*b305*b582 + 4200*
    b305*b583 + 7800*b305*b584 + 1610*b305*b585 + 1610*b305*b586 + 2990*b305*
    b587 + 3360*b305*b588 + 3360*b305*b589 + 6240*b305*b590 + 2800*b305*b591 + 
    2800*b305*b592 + 5200*b305*b593 + 700*b305*b594 + 700*b305*b595 + 1300*b305
    *b596 + 2940*b305*b597 + 2940*b305*b598 + 5460*b305*b599 + 40*b305*b600 + 
    3400*b305*b601 + 2840*b305*b602 + 400*b305*b603 + 600*b305*b604 + 3000*b305
    *b605 + 1640*b305*b606 + 2760*b305*b607 + 2680*b305*b608 + 2880*b305*b609
     + 1000*b305*b610 + 3360*b305*b611 + 1160*b305*b612 + 920*b305*b613 + 1400*
    b305*b614 + 3440*b305*b615 + 2480*b305*b617 + 1440*b305*b618 + 80*b305*b619
     + 80*b305*b620 + 1720*b305*b621 + 2600*b305*b622 + 2280*b305*b623 + 6510*
    b305*b624 + 6510*b305*b625 + 12090*b305*b626 + 3096*b306*b311 + 4300*b306*
    b312 + 8084*b306*b313 + 6622*b306*b314 + 8514*b306*b315 + 7654*b306*b316 + 
    6536*b306*b317 + 4816*b306*b318 + 1032*b306*b319 + 2236*b306*b320 + 3870*
    b306*b321 + 2580*b306*b322 + 516*b306*b323 + 258*b306*b324 + 5332*b306*b325
     + 5160*b306*b326 + 5332*b306*b327 + 3182*b306*b329 + 4214*b306*b330 + 5246
    *b306*b331 + 430*b306*b332 + 1440*b306*b333 + 2000*b306*b334 + 3760*b306*
    b335 + 3080*b306*b336 + 3960*b306*b337 + 3560*b306*b338 + 3040*b306*b339 + 
    2240*b306*b340 + 480*b306*b341 + 1040*b306*b342 + 1800*b306*b343 + 1200*
    b306*b344 + 240*b306*b345 + 120*b306*b346 + 2480*b306*b347 + 2400*b306*b348
     + 2480*b306*b349 + 1480*b306*b351 + 1960*b306*b352 + 2440*b306*b353 + 200*
    b306*b354 + 4896*b306*b355 + 6800*b306*b356 + 12784*b306*b357 + 10472*b306*
    b358 + 13464*b306*b359 + 12104*b306*b360 + 10336*b306*b361 + 7616*b306*b362
     + 1632*b306*b363 + 3536*b306*b364 + 6120*b306*b365 + 4080*b306*b366 + 816*
    b306*b367 + 408*b306*b368 + 8432*b306*b369 + 8160*b306*b370 + 8432*b306*
    b371 + 5032*b306*b373 + 6664*b306*b374 + 8296*b306*b375 + 680*b306*b376 + 
    2520*b306*b377 + 3500*b306*b378 + 6580*b306*b379 + 5390*b306*b380 + 6930*
    b306*b381 + 6230*b306*b382 + 5320*b306*b383 + 3920*b306*b384 + 840*b306*
    b385 + 1820*b306*b386 + 3150*b306*b387 + 2100*b306*b388 + 420*b306*b389 + 
    210*b306*b390 + 4340*b306*b391 + 4200*b306*b392 + 4340*b306*b393 + 2590*
    b306*b395 + 3430*b306*b396 + 4270*b306*b397 + 350*b306*b398 + 4320*b306*
    b399 + 6000*b306*b400 + 11280*b306*b401 + 9240*b306*b402 + 11880*b306*b403
     + 10680*b306*b404 + 9120*b306*b405 + 6720*b306*b406 + 1440*b306*b407 + 
    3120*b306*b408 + 5400*b306*b409 + 3600*b306*b410 + 720*b306*b411 + 360*b306
    *b412 + 7440*b306*b413 + 7200*b306*b414 + 7440*b306*b415 + 4440*b306*b417
     + 5880*b306*b418 + 7320*b306*b419 + 600*b306*b420 + 1656*b306*b421 + 2300*
    b306*b422 + 4324*b306*b423 + 3542*b306*b424 + 4554*b306*b425 + 4094*b306*
    b426 + 3496*b306*b427 + 2576*b306*b428 + 552*b306*b429 + 1196*b306*b430 + 
    2070*b306*b431 + 1380*b306*b432 + 276*b306*b433 + 138*b306*b434 + 2852*b306
    *b435 + 2760*b306*b436 + 2852*b306*b437 + 1702*b306*b439 + 2254*b306*b440
     + 2806*b306*b441 + 230*b306*b442 + 3456*b306*b443 + 4800*b306*b444 + 9024*
    b306*b445 + 7392*b306*b446 + 9504*b306*b447 + 8544*b306*b448 + 7296*b306*
    b449 + 5376*b306*b450 + 1152*b306*b451 + 2496*b306*b452 + 4320*b306*b453 + 
    2880*b306*b454 + 576*b306*b455 + 288*b306*b456 + 5952*b306*b457 + 5760*b306
    *b458 + 5952*b306*b459 + 3552*b306*b461 + 4704*b306*b462 + 5856*b306*b463
     + 480*b306*b464 + 2880*b306*b465 + 4000*b306*b466 + 7520*b306*b467 + 6160*
    b306*b468 + 7920*b306*b469 + 7120*b306*b470 + 6080*b306*b471 + 4480*b306*
    b472 + 960*b306*b473 + 2080*b306*b474 + 3600*b306*b475 + 2400*b306*b476 + 
    480*b306*b477 + 240*b306*b478 + 4960*b306*b479 + 4800*b306*b480 + 4960*b306
    *b481 + 2960*b306*b483 + 3920*b306*b484 + 4880*b306*b485 + 400*b306*b486 + 
    720*b306*b487 + 1000*b306*b488 + 1880*b306*b489 + 1540*b306*b490 + 1980*
    b306*b491 + 1780*b306*b492 + 1520*b306*b493 + 1120*b306*b494 + 240*b306*
    b495 + 520*b306*b496 + 900*b306*b497 + 600*b306*b498 + 120*b306*b499 + 60*
    b306*b500 + 1240*b306*b501 + 1200*b306*b502 + 1240*b306*b503 + 740*b306*
    b505 + 980*b306*b506 + 1220*b306*b507 + 100*b306*b508 + 3024*b306*b509 + 
    4200*b306*b510 + 7896*b306*b511 + 6468*b306*b512 + 8316*b306*b513 + 7476*
    b306*b514 + 6384*b306*b515 + 4704*b306*b516 + 1008*b306*b517 + 2184*b306*
    b518 + 3780*b306*b519 + 2520*b306*b520 + 504*b306*b521 + 252*b306*b522 + 
    5208*b306*b523 + 5040*b306*b524 + 5208*b306*b525 + 3108*b306*b527 + 4116*
    b306*b528 + 5124*b306*b529 + 420*b306*b530 + 18*b306*b531 + 30*b306*b532 + 
    68*b306*b533 + 612*b306*b534 + 1020*b306*b535 + 2312*b306*b536 + 1116*b306*
    b537 + 1860*b306*b538 + 4216*b306*b539 + 324*b306*b540 + 540*b306*b541 + 
    1224*b306*b542 + 1008*b306*b543 + 1680*b306*b544 + 3808*b306*b545 + 1206*
    b306*b546 + 2010*b306*b547 + 4556*b306*b548 + 684*b306*b549 + 1140*b306*
    b550 + 2584*b306*b551 + 1008*b306*b552 + 1680*b306*b553 + 3808*b306*b554 + 
    594*b306*b555 + 990*b306*b556 + 2244*b306*b557 + 1260*b306*b558 + 2100*b306
    *b559 + 4760*b306*b560 + 1692*b306*b561 + 2820*b306*b562 + 6392*b306*b563
     + 306*b306*b564 + 510*b306*b565 + 1156*b306*b566 + 774*b306*b570 + 1290*
    b306*b571 + 2924*b306*b572 + 360*b306*b573 + 600*b306*b574 + 1360*b306*b575
     + 1224*b306*b576 + 2040*b306*b577 + 4624*b306*b578 + 630*b306*b579 + 1050*
    b306*b580 + 2380*b306*b581 + 1080*b306*b582 + 1800*b306*b583 + 4080*b306*
    b584 + 414*b306*b585 + 690*b306*b586 + 1564*b306*b587 + 864*b306*b588 + 
    1440*b306*b589 + 3264*b306*b590 + 720*b306*b591 + 1200*b306*b592 + 2720*
    b306*b593 + 180*b306*b594 + 300*b306*b595 + 680*b306*b596 + 756*b306*b597
     + 1260*b306*b598 + 2856*b306*b599 + 2000*b306*b600 + 3760*b306*b601 + 3080
    *b306*b602 + 3960*b306*b603 + 3560*b306*b604 + 3040*b306*b605 + 2240*b306*
    b606 + 480*b306*b607 + 1040*b306*b608 + 1800*b306*b609 + 1200*b306*b610 + 
    240*b306*b611 + 120*b306*b612 + 2480*b306*b613 + 600*b306*b614 + 2400*b306*
    b615 + 2480*b306*b616 + 1480*b306*b618 + 1960*b306*b619 + 2440*b306*b620 + 
    200*b306*b621 + 1360*b306*b622 + 1440*b306*b623 + 1674*b306*b624 + 2790*
    b306*b625 + 6324*b306*b626 + 5246*b307*b311 + 344*b307*b312 + 7740*b307*
    b313 + 3096*b307*b314 + 4816*b307*b315 + 4128*b307*b316 + 3440*b307*b317 + 
    3354*b307*b318 + 7310*b307*b319 + 7052*b307*b320 + 8256*b307*b321 + 3698*
    b307*b322 + 258*b307*b324 + 5332*b307*b325 + 5332*b307*b326 + 3096*b307*
    b327 + 3182*b307*b328 + 4558*b307*b330 + 8256*b307*b331 + 7052*b307*b332 + 
    2440*b307*b333 + 160*b307*b334 + 3600*b307*b335 + 1440*b307*b336 + 2240*
    b307*b337 + 1920*b307*b338 + 1600*b307*b339 + 1560*b307*b340 + 3400*b307*
    b341 + 3280*b307*b342 + 3840*b307*b343 + 1720*b307*b344 + 120*b307*b346 + 
    2480*b307*b347 + 2480*b307*b348 + 1440*b307*b349 + 1480*b307*b350 + 2120*
    b307*b352 + 3840*b307*b353 + 3280*b307*b354 + 8296*b307*b355 + 544*b307*
    b356 + 12240*b307*b357 + 4896*b307*b358 + 7616*b307*b359 + 6528*b307*b360
     + 5440*b307*b361 + 5304*b307*b362 + 11560*b307*b363 + 11152*b307*b364 + 
    13056*b307*b365 + 5848*b307*b366 + 408*b307*b368 + 8432*b307*b369 + 8432*
    b307*b370 + 4896*b307*b371 + 5032*b307*b372 + 7208*b307*b374 + 13056*b307*
    b375 + 11152*b307*b376 + 4270*b307*b377 + 280*b307*b378 + 6300*b307*b379 + 
    2520*b307*b380 + 3920*b307*b381 + 3360*b307*b382 + 2800*b307*b383 + 2730*
    b307*b384 + 5950*b307*b385 + 5740*b307*b386 + 6720*b307*b387 + 3010*b307*
    b388 + 210*b307*b390 + 4340*b307*b391 + 4340*b307*b392 + 2520*b307*b393 + 
    2590*b307*b394 + 3710*b307*b396 + 6720*b307*b397 + 5740*b307*b398 + 7320*
    b307*b399 + 480*b307*b400 + 10800*b307*b401 + 4320*b307*b402 + 6720*b307*
    b403 + 5760*b307*b404 + 4800*b307*b405 + 4680*b307*b406 + 10200*b307*b407
     + 9840*b307*b408 + 11520*b307*b409 + 5160*b307*b410 + 360*b307*b412 + 7440
    *b307*b413 + 7440*b307*b414 + 4320*b307*b415 + 4440*b307*b416 + 6360*b307*
    b418 + 11520*b307*b419 + 9840*b307*b420 + 2806*b307*b421 + 184*b307*b422 + 
    4140*b307*b423 + 1656*b307*b424 + 2576*b307*b425 + 2208*b307*b426 + 1840*
    b307*b427 + 1794*b307*b428 + 3910*b307*b429 + 3772*b307*b430 + 4416*b307*
    b431 + 1978*b307*b432 + 138*b307*b434 + 2852*b307*b435 + 2852*b307*b436 + 
    1656*b307*b437 + 1702*b307*b438 + 2438*b307*b440 + 4416*b307*b441 + 3772*
    b307*b442 + 5856*b307*b443 + 384*b307*b444 + 8640*b307*b445 + 3456*b307*
    b446 + 5376*b307*b447 + 4608*b307*b448 + 3840*b307*b449 + 3744*b307*b450 + 
    8160*b307*b451 + 7872*b307*b452 + 9216*b307*b453 + 4128*b307*b454 + 288*
    b307*b456 + 5952*b307*b457 + 5952*b307*b458 + 3456*b307*b459 + 3552*b307*
    b460 + 5088*b307*b462 + 9216*b307*b463 + 7872*b307*b464 + 4880*b307*b465 + 
    320*b307*b466 + 7200*b307*b467 + 2880*b307*b468 + 4480*b307*b469 + 3840*
    b307*b470 + 3200*b307*b471 + 3120*b307*b472 + 6800*b307*b473 + 6560*b307*
    b474 + 7680*b307*b475 + 3440*b307*b476 + 240*b307*b478 + 4960*b307*b479 + 
    4960*b307*b480 + 2880*b307*b481 + 2960*b307*b482 + 4240*b307*b484 + 7680*
    b307*b485 + 6560*b307*b486 + 1220*b307*b487 + 80*b307*b488 + 1800*b307*b489
     + 720*b307*b490 + 1120*b307*b491 + 960*b307*b492 + 800*b307*b493 + 780*
    b307*b494 + 1700*b307*b495 + 1640*b307*b496 + 1920*b307*b497 + 860*b307*
    b498 + 60*b307*b500 + 1240*b307*b501 + 1240*b307*b502 + 720*b307*b503 + 740
    *b307*b504 + 1060*b307*b506 + 1920*b307*b507 + 1640*b307*b508 + 5124*b307*
    b509 + 336*b307*b510 + 7560*b307*b511 + 3024*b307*b512 + 4704*b307*b513 + 
    4032*b307*b514 + 3360*b307*b515 + 3276*b307*b516 + 7140*b307*b517 + 6888*
    b307*b518 + 8064*b307*b519 + 3612*b307*b520 + 252*b307*b522 + 5208*b307*
    b523 + 5208*b307*b524 + 3024*b307*b525 + 3108*b307*b526 + 4452*b307*b528 + 
    8064*b307*b529 + 6888*b307*b530 + 2*b307*b531 + 34*b307*b532 + 96*b307*b533
     + 68*b307*b534 + 1156*b307*b535 + 3264*b307*b536 + 124*b307*b537 + 2108*
    b307*b538 + 5952*b307*b539 + 36*b307*b540 + 612*b307*b541 + 1728*b307*b542
     + 112*b307*b543 + 1904*b307*b544 + 5376*b307*b545 + 134*b307*b546 + 2278*
    b307*b547 + 6432*b307*b548 + 76*b307*b549 + 1292*b307*b550 + 3648*b307*b551
     + 112*b307*b552 + 1904*b307*b553 + 5376*b307*b554 + 66*b307*b555 + 1122*
    b307*b556 + 3168*b307*b557 + 140*b307*b558 + 2380*b307*b559 + 6720*b307*
    b560 + 188*b307*b561 + 3196*b307*b562 + 9024*b307*b563 + 34*b307*b564 + 578
    *b307*b565 + 1632*b307*b566 + 86*b307*b570 + 1462*b307*b571 + 4128*b307*
    b572 + 40*b307*b573 + 680*b307*b574 + 1920*b307*b575 + 136*b307*b576 + 2312
    *b307*b577 + 6528*b307*b578 + 70*b307*b579 + 1190*b307*b580 + 3360*b307*
    b581 + 120*b307*b582 + 2040*b307*b583 + 5760*b307*b584 + 46*b307*b585 + 782
    *b307*b586 + 2208*b307*b587 + 96*b307*b588 + 1632*b307*b589 + 4608*b307*
    b590 + 80*b307*b591 + 1360*b307*b592 + 3840*b307*b593 + 20*b307*b594 + 340*
    b307*b595 + 960*b307*b596 + 84*b307*b597 + 1428*b307*b598 + 4032*b307*b599
     + 160*b307*b600 + 3600*b307*b601 + 1440*b307*b602 + 2240*b307*b603 + 1920*
    b307*b604 + 1600*b307*b605 + 1560*b307*b606 + 3400*b307*b607 + 3280*b307*
    b608 + 3840*b307*b609 + 1720*b307*b610 + 120*b307*b612 + 2480*b307*b613 + 
    680*b307*b614 + 2480*b307*b615 + 1440*b307*b616 + 1480*b307*b617 + 2120*
    b307*b619 + 3840*b307*b620 + 3280*b307*b621 + 1920*b307*b622 + 2440*b307*
    b623 + 186*b307*b624 + 3162*b307*b625 + 8928*b307*b626 + 3096*b308*b311 + 
    3096*b308*b312 + 4386*b308*b313 + 4558*b308*b314 + 6020*b308*b315 + 1204*
    b308*b316 + 5676*b308*b317 + 4558*b308*b318 + 6192*b308*b319 + 3784*b308*
    b320 + 602*b308*b321 + 8342*b308*b322 + 4386*b308*b324 + 2408*b308*b325 + 
    5332*b308*b326 + 172*b308*b327 + 4214*b308*b328 + 4558*b308*b329 + 2408*
    b308*b331 + 2666*b308*b332 + 1440*b308*b333 + 1440*b308*b334 + 2040*b308*
    b335 + 2120*b308*b336 + 2800*b308*b337 + 560*b308*b338 + 2640*b308*b339 + 
    2120*b308*b340 + 2880*b308*b341 + 1760*b308*b342 + 280*b308*b343 + 3880*
    b308*b344 + 2040*b308*b346 + 1120*b308*b347 + 2480*b308*b348 + 80*b308*b349
     + 1960*b308*b350 + 2120*b308*b351 + 1120*b308*b353 + 1240*b308*b354 + 4896
    *b308*b355 + 4896*b308*b356 + 6936*b308*b357 + 7208*b308*b358 + 9520*b308*
    b359 + 1904*b308*b360 + 8976*b308*b361 + 7208*b308*b362 + 9792*b308*b363 + 
    5984*b308*b364 + 952*b308*b365 + 13192*b308*b366 + 6936*b308*b368 + 3808*
    b308*b369 + 8432*b308*b370 + 272*b308*b371 + 6664*b308*b372 + 7208*b308*
    b373 + 3808*b308*b375 + 4216*b308*b376 + 2520*b308*b377 + 2520*b308*b378 + 
    3570*b308*b379 + 3710*b308*b380 + 4900*b308*b381 + 980*b308*b382 + 4620*
    b308*b383 + 3710*b308*b384 + 5040*b308*b385 + 3080*b308*b386 + 490*b308*
    b387 + 6790*b308*b388 + 3570*b308*b390 + 1960*b308*b391 + 4340*b308*b392 + 
    140*b308*b393 + 3430*b308*b394 + 3710*b308*b395 + 1960*b308*b397 + 2170*
    b308*b398 + 4320*b308*b399 + 4320*b308*b400 + 6120*b308*b401 + 6360*b308*
    b402 + 8400*b308*b403 + 1680*b308*b404 + 7920*b308*b405 + 6360*b308*b406 + 
    8640*b308*b407 + 5280*b308*b408 + 840*b308*b409 + 11640*b308*b410 + 6120*
    b308*b412 + 3360*b308*b413 + 7440*b308*b414 + 240*b308*b415 + 5880*b308*
    b416 + 6360*b308*b417 + 3360*b308*b419 + 3720*b308*b420 + 1656*b308*b421 + 
    1656*b308*b422 + 2346*b308*b423 + 2438*b308*b424 + 3220*b308*b425 + 644*
    b308*b426 + 3036*b308*b427 + 2438*b308*b428 + 3312*b308*b429 + 2024*b308*
    b430 + 322*b308*b431 + 4462*b308*b432 + 2346*b308*b434 + 1288*b308*b435 + 
    2852*b308*b436 + 92*b308*b437 + 2254*b308*b438 + 2438*b308*b439 + 1288*b308
    *b441 + 1426*b308*b442 + 3456*b308*b443 + 3456*b308*b444 + 4896*b308*b445
     + 5088*b308*b446 + 6720*b308*b447 + 1344*b308*b448 + 6336*b308*b449 + 5088
    *b308*b450 + 6912*b308*b451 + 4224*b308*b452 + 672*b308*b453 + 9312*b308*
    b454 + 4896*b308*b456 + 2688*b308*b457 + 5952*b308*b458 + 192*b308*b459 + 
    4704*b308*b460 + 5088*b308*b461 + 2688*b308*b463 + 2976*b308*b464 + 2880*
    b308*b465 + 2880*b308*b466 + 4080*b308*b467 + 4240*b308*b468 + 5600*b308*
    b469 + 1120*b308*b470 + 5280*b308*b471 + 4240*b308*b472 + 5760*b308*b473 + 
    3520*b308*b474 + 560*b308*b475 + 7760*b308*b476 + 4080*b308*b478 + 2240*
    b308*b479 + 4960*b308*b480 + 160*b308*b481 + 3920*b308*b482 + 4240*b308*
    b483 + 2240*b308*b485 + 2480*b308*b486 + 720*b308*b487 + 720*b308*b488 + 
    1020*b308*b489 + 1060*b308*b490 + 1400*b308*b491 + 280*b308*b492 + 1320*
    b308*b493 + 1060*b308*b494 + 1440*b308*b495 + 880*b308*b496 + 140*b308*b497
     + 1940*b308*b498 + 1020*b308*b500 + 560*b308*b501 + 1240*b308*b502 + 40*
    b308*b503 + 980*b308*b504 + 1060*b308*b505 + 560*b308*b507 + 620*b308*b508
     + 3024*b308*b509 + 3024*b308*b510 + 4284*b308*b511 + 4452*b308*b512 + 5880
    *b308*b513 + 1176*b308*b514 + 5544*b308*b515 + 4452*b308*b516 + 6048*b308*
    b517 + 3696*b308*b518 + 588*b308*b519 + 8148*b308*b520 + 4284*b308*b522 + 
    2352*b308*b523 + 5208*b308*b524 + 168*b308*b525 + 4116*b308*b526 + 4452*
    b308*b527 + 2352*b308*b529 + 2604*b308*b530 + 170*b308*b531 + 154*b308*b532
     + 150*b308*b533 + 5780*b308*b534 + 5236*b308*b535 + 5100*b308*b536 + 10540
    *b308*b537 + 9548*b308*b538 + 9300*b308*b539 + 3060*b308*b540 + 2772*b308*
    b541 + 2700*b308*b542 + 9520*b308*b543 + 8624*b308*b544 + 8400*b308*b545 + 
    11390*b308*b546 + 10318*b308*b547 + 10050*b308*b548 + 6460*b308*b549 + 5852
    *b308*b550 + 5700*b308*b551 + 9520*b308*b552 + 8624*b308*b553 + 8400*b308*
    b554 + 5610*b308*b555 + 5082*b308*b556 + 4950*b308*b557 + 11900*b308*b558
     + 10780*b308*b559 + 10500*b308*b560 + 15980*b308*b561 + 14476*b308*b562 + 
    14100*b308*b563 + 2890*b308*b564 + 2618*b308*b565 + 2550*b308*b566 + 7310*
    b308*b570 + 6622*b308*b571 + 6450*b308*b572 + 3400*b308*b573 + 3080*b308*
    b574 + 3000*b308*b575 + 11560*b308*b576 + 10472*b308*b577 + 10200*b308*b578
     + 5950*b308*b579 + 5390*b308*b580 + 5250*b308*b581 + 10200*b308*b582 + 
    9240*b308*b583 + 9000*b308*b584 + 3910*b308*b585 + 3542*b308*b586 + 3450*
    b308*b587 + 8160*b308*b588 + 7392*b308*b589 + 7200*b308*b590 + 6800*b308*
    b591 + 6160*b308*b592 + 6000*b308*b593 + 1700*b308*b594 + 1540*b308*b595 + 
    1500*b308*b596 + 7140*b308*b597 + 6468*b308*b598 + 6300*b308*b599 + 1440*
    b308*b600 + 2040*b308*b601 + 2120*b308*b602 + 2800*b308*b603 + 560*b308*
    b604 + 2640*b308*b605 + 2120*b308*b606 + 2880*b308*b607 + 1760*b308*b608 + 
    280*b308*b609 + 3880*b308*b610 + 2040*b308*b612 + 1120*b308*b613 + 3080*
    b308*b614 + 2480*b308*b615 + 80*b308*b616 + 1960*b308*b617 + 2120*b308*b618
     + 1120*b308*b620 + 1240*b308*b621 + 3000*b308*b622 + 1440*b308*b623 + 
    15810*b308*b624 + 14322*b308*b625 + 13950*b308*b626 + 1806*b309*b311 + 2322
    *b309*b312 + 258*b309*b313 + 3182*b309*b314 + 8514*b309*b315 + 7654*b309*
    b316 + 4988*b309*b317 + 6622*b309*b318 + 602*b309*b319 + 3010*b309*b320 + 
    7482*b309*b321 + 2838*b309*b322 + 4128*b309*b323 + 5762*b309*b324 + 6536*
    b309*b325 + 7138*b309*b326 + 172*b309*b327 + 5246*b309*b328 + 8256*b309*
    b329 + 2408*b309*b330 + 86*b309*b332 + 840*b309*b333 + 1080*b309*b334 + 120
    *b309*b335 + 1480*b309*b336 + 3960*b309*b337 + 3560*b309*b338 + 2320*b309*
    b339 + 3080*b309*b340 + 280*b309*b341 + 1400*b309*b342 + 3480*b309*b343 + 
    1320*b309*b344 + 1920*b309*b345 + 2680*b309*b346 + 3040*b309*b347 + 3320*
    b309*b348 + 80*b309*b349 + 2440*b309*b350 + 3840*b309*b351 + 1120*b309*b352
     + 40*b309*b354 + 2856*b309*b355 + 3672*b309*b356 + 408*b309*b357 + 5032*
    b309*b358 + 13464*b309*b359 + 12104*b309*b360 + 7888*b309*b361 + 10472*b309
    *b362 + 952*b309*b363 + 4760*b309*b364 + 11832*b309*b365 + 4488*b309*b366
     + 6528*b309*b367 + 9112*b309*b368 + 10336*b309*b369 + 11288*b309*b370 + 
    272*b309*b371 + 8296*b309*b372 + 13056*b309*b373 + 3808*b309*b374 + 136*
    b309*b376 + 1470*b309*b377 + 1890*b309*b378 + 210*b309*b379 + 2590*b309*
    b380 + 6930*b309*b381 + 6230*b309*b382 + 4060*b309*b383 + 5390*b309*b384 + 
    490*b309*b385 + 2450*b309*b386 + 6090*b309*b387 + 2310*b309*b388 + 3360*
    b309*b389 + 4690*b309*b390 + 5320*b309*b391 + 5810*b309*b392 + 140*b309*
    b393 + 4270*b309*b394 + 6720*b309*b395 + 1960*b309*b396 + 70*b309*b398 + 
    2520*b309*b399 + 3240*b309*b400 + 360*b309*b401 + 4440*b309*b402 + 11880*
    b309*b403 + 10680*b309*b404 + 6960*b309*b405 + 9240*b309*b406 + 840*b309*
    b407 + 4200*b309*b408 + 10440*b309*b409 + 3960*b309*b410 + 5760*b309*b411
     + 8040*b309*b412 + 9120*b309*b413 + 9960*b309*b414 + 240*b309*b415 + 7320*
    b309*b416 + 11520*b309*b417 + 3360*b309*b418 + 120*b309*b420 + 966*b309*
    b421 + 1242*b309*b422 + 138*b309*b423 + 1702*b309*b424 + 4554*b309*b425 + 
    4094*b309*b426 + 2668*b309*b427 + 3542*b309*b428 + 322*b309*b429 + 1610*
    b309*b430 + 4002*b309*b431 + 1518*b309*b432 + 2208*b309*b433 + 3082*b309*
    b434 + 3496*b309*b435 + 3818*b309*b436 + 92*b309*b437 + 2806*b309*b438 + 
    4416*b309*b439 + 1288*b309*b440 + 46*b309*b442 + 2016*b309*b443 + 2592*b309
    *b444 + 288*b309*b445 + 3552*b309*b446 + 9504*b309*b447 + 8544*b309*b448 + 
    5568*b309*b449 + 7392*b309*b450 + 672*b309*b451 + 3360*b309*b452 + 8352*
    b309*b453 + 3168*b309*b454 + 4608*b309*b455 + 6432*b309*b456 + 7296*b309*
    b457 + 7968*b309*b458 + 192*b309*b459 + 5856*b309*b460 + 9216*b309*b461 + 
    2688*b309*b462 + 96*b309*b464 + 1680*b309*b465 + 2160*b309*b466 + 240*b309*
    b467 + 2960*b309*b468 + 7920*b309*b469 + 7120*b309*b470 + 4640*b309*b471 + 
    6160*b309*b472 + 560*b309*b473 + 2800*b309*b474 + 6960*b309*b475 + 2640*
    b309*b476 + 3840*b309*b477 + 5360*b309*b478 + 6080*b309*b479 + 6640*b309*
    b480 + 160*b309*b481 + 4880*b309*b482 + 7680*b309*b483 + 2240*b309*b484 + 
    80*b309*b486 + 420*b309*b487 + 540*b309*b488 + 60*b309*b489 + 740*b309*b490
     + 1980*b309*b491 + 1780*b309*b492 + 1160*b309*b493 + 1540*b309*b494 + 140*
    b309*b495 + 700*b309*b496 + 1740*b309*b497 + 660*b309*b498 + 960*b309*b499
     + 1340*b309*b500 + 1520*b309*b501 + 1660*b309*b502 + 40*b309*b503 + 1220*
    b309*b504 + 1920*b309*b505 + 560*b309*b506 + 20*b309*b508 + 1764*b309*b509
     + 2268*b309*b510 + 252*b309*b511 + 3108*b309*b512 + 8316*b309*b513 + 7476*
    b309*b514 + 4872*b309*b515 + 6468*b309*b516 + 588*b309*b517 + 2940*b309*
    b518 + 7308*b309*b519 + 2772*b309*b520 + 4032*b309*b521 + 5628*b309*b522 + 
    6384*b309*b523 + 6972*b309*b524 + 168*b309*b525 + 5124*b309*b526 + 8064*
    b309*b527 + 2352*b309*b528 + 84*b309*b530 + 168*b309*b531 + 88*b309*b532 + 
    190*b309*b533 + 5712*b309*b534 + 2992*b309*b535 + 6460*b309*b536 + 10416*
    b309*b537 + 5456*b309*b538 + 11780*b309*b539 + 3024*b309*b540 + 1584*b309*
    b541 + 3420*b309*b542 + 9408*b309*b543 + 4928*b309*b544 + 10640*b309*b545
     + 11256*b309*b546 + 5896*b309*b547 + 12730*b309*b548 + 6384*b309*b549 + 
    3344*b309*b550 + 7220*b309*b551 + 9408*b309*b552 + 4928*b309*b553 + 10640*
    b309*b554 + 5544*b309*b555 + 2904*b309*b556 + 6270*b309*b557 + 11760*b309*
    b558 + 6160*b309*b559 + 13300*b309*b560 + 15792*b309*b561 + 8272*b309*b562
     + 17860*b309*b563 + 2856*b309*b564 + 1496*b309*b565 + 3230*b309*b566 + 
    7224*b309*b570 + 3784*b309*b571 + 8170*b309*b572 + 3360*b309*b573 + 1760*
    b309*b574 + 3800*b309*b575 + 11424*b309*b576 + 5984*b309*b577 + 12920*b309*
    b578 + 5880*b309*b579 + 3080*b309*b580 + 6650*b309*b581 + 10080*b309*b582
     + 5280*b309*b583 + 11400*b309*b584 + 3864*b309*b585 + 2024*b309*b586 + 
    4370*b309*b587 + 8064*b309*b588 + 4224*b309*b589 + 9120*b309*b590 + 6720*
    b309*b591 + 3520*b309*b592 + 7600*b309*b593 + 1680*b309*b594 + 880*b309*
    b595 + 1900*b309*b596 + 7056*b309*b597 + 3696*b309*b598 + 7980*b309*b599 + 
    1080*b309*b600 + 120*b309*b601 + 1480*b309*b602 + 3960*b309*b603 + 3560*
    b309*b604 + 2320*b309*b605 + 3080*b309*b606 + 280*b309*b607 + 1400*b309*
    b608 + 3480*b309*b609 + 1320*b309*b610 + 1920*b309*b611 + 2680*b309*b612 + 
    3040*b309*b613 + 1760*b309*b614 + 3320*b309*b615 + 80*b309*b616 + 2440*b309
    *b617 + 3840*b309*b618 + 1120*b309*b619 + 40*b309*b621 + 3800*b309*b622 + 
    840*b309*b623 + 15624*b309*b624 + 8184*b309*b625 + 17670*b309*b626 + 6106*
    b310*b311 + 7310*b310*b312 + 4128*b310*b313 + 2236*b310*b314 + 5160*b310*
    b315 + 3784*b310*b316 + 2580*b310*b317 + 4300*b310*b318 + 4214*b310*b319 + 
    258*b310*b320 + 5848*b310*b321 + 3010*b310*b322 + 5332*b310*b323 + 3354*
    b310*b324 + 5676*b310*b325 + 7826*b310*b326 + 3698*b310*b327 + 430*b310*
    b328 + 7052*b310*b329 + 2666*b310*b330 + 86*b310*b331 + 2840*b310*b333 + 
    3400*b310*b334 + 1920*b310*b335 + 1040*b310*b336 + 2400*b310*b337 + 1760*
    b310*b338 + 1200*b310*b339 + 2000*b310*b340 + 1960*b310*b341 + 120*b310*
    b342 + 2720*b310*b343 + 1400*b310*b344 + 2480*b310*b345 + 1560*b310*b346 + 
    2640*b310*b347 + 3640*b310*b348 + 1720*b310*b349 + 200*b310*b350 + 3280*
    b310*b351 + 1240*b310*b352 + 40*b310*b353 + 9656*b310*b355 + 11560*b310*
    b356 + 6528*b310*b357 + 3536*b310*b358 + 8160*b310*b359 + 5984*b310*b360 + 
    4080*b310*b361 + 6800*b310*b362 + 6664*b310*b363 + 408*b310*b364 + 9248*
    b310*b365 + 4760*b310*b366 + 8432*b310*b367 + 5304*b310*b368 + 8976*b310*
    b369 + 12376*b310*b370 + 5848*b310*b371 + 680*b310*b372 + 11152*b310*b373
     + 4216*b310*b374 + 136*b310*b375 + 4970*b310*b377 + 5950*b310*b378 + 3360*
    b310*b379 + 1820*b310*b380 + 4200*b310*b381 + 3080*b310*b382 + 2100*b310*
    b383 + 3500*b310*b384 + 3430*b310*b385 + 210*b310*b386 + 4760*b310*b387 + 
    2450*b310*b388 + 4340*b310*b389 + 2730*b310*b390 + 4620*b310*b391 + 6370*
    b310*b392 + 3010*b310*b393 + 350*b310*b394 + 5740*b310*b395 + 2170*b310*
    b396 + 70*b310*b397 + 8520*b310*b399 + 10200*b310*b400 + 5760*b310*b401 + 
    3120*b310*b402 + 7200*b310*b403 + 5280*b310*b404 + 3600*b310*b405 + 6000*
    b310*b406 + 5880*b310*b407 + 360*b310*b408 + 8160*b310*b409 + 4200*b310*
    b410 + 7440*b310*b411 + 4680*b310*b412 + 7920*b310*b413 + 10920*b310*b414
     + 5160*b310*b415 + 600*b310*b416 + 9840*b310*b417 + 3720*b310*b418 + 120*
    b310*b419 + 3266*b310*b421 + 3910*b310*b422 + 2208*b310*b423 + 1196*b310*
    b424 + 2760*b310*b425 + 2024*b310*b426 + 1380*b310*b427 + 2300*b310*b428 + 
    2254*b310*b429 + 138*b310*b430 + 3128*b310*b431 + 1610*b310*b432 + 2852*
    b310*b433 + 1794*b310*b434 + 3036*b310*b435 + 4186*b310*b436 + 1978*b310*
    b437 + 230*b310*b438 + 3772*b310*b439 + 1426*b310*b440 + 46*b310*b441 + 
    6816*b310*b443 + 8160*b310*b444 + 4608*b310*b445 + 2496*b310*b446 + 5760*
    b310*b447 + 4224*b310*b448 + 2880*b310*b449 + 4800*b310*b450 + 4704*b310*
    b451 + 288*b310*b452 + 6528*b310*b453 + 3360*b310*b454 + 5952*b310*b455 + 
    3744*b310*b456 + 6336*b310*b457 + 8736*b310*b458 + 4128*b310*b459 + 480*
    b310*b460 + 7872*b310*b461 + 2976*b310*b462 + 96*b310*b463 + 5680*b310*b465
     + 6800*b310*b466 + 3840*b310*b467 + 2080*b310*b468 + 4800*b310*b469 + 3520
    *b310*b470 + 2400*b310*b471 + 4000*b310*b472 + 3920*b310*b473 + 240*b310*
    b474 + 5440*b310*b475 + 2800*b310*b476 + 4960*b310*b477 + 3120*b310*b478 + 
    5280*b310*b479 + 7280*b310*b480 + 3440*b310*b481 + 400*b310*b482 + 6560*
    b310*b483 + 2480*b310*b484 + 80*b310*b485 + 1420*b310*b487 + 1700*b310*b488
     + 960*b310*b489 + 520*b310*b490 + 1200*b310*b491 + 880*b310*b492 + 600*
    b310*b493 + 1000*b310*b494 + 980*b310*b495 + 60*b310*b496 + 1360*b310*b497
     + 700*b310*b498 + 1240*b310*b499 + 780*b310*b500 + 1320*b310*b501 + 1820*
    b310*b502 + 860*b310*b503 + 100*b310*b504 + 1640*b310*b505 + 620*b310*b506
     + 20*b310*b507 + 5964*b310*b509 + 7140*b310*b510 + 4032*b310*b511 + 2184*
    b310*b512 + 5040*b310*b513 + 3696*b310*b514 + 2520*b310*b515 + 4200*b310*
    b516 + 4116*b310*b517 + 252*b310*b518 + 5712*b310*b519 + 2940*b310*b520 + 
    5208*b310*b521 + 3276*b310*b522 + 5544*b310*b523 + 7644*b310*b524 + 3612*
    b310*b525 + 420*b310*b526 + 6888*b310*b527 + 2604*b310*b528 + 84*b310*b529
     + 24*b310*b531 + 52*b310*b532 + 14*b310*b533 + 816*b310*b534 + 1768*b310*
    b535 + 476*b310*b536 + 1488*b310*b537 + 3224*b310*b538 + 868*b310*b539 + 
    432*b310*b540 + 936*b310*b541 + 252*b310*b542 + 1344*b310*b543 + 2912*b310*
    b544 + 784*b310*b545 + 1608*b310*b546 + 3484*b310*b547 + 938*b310*b548 + 
    912*b310*b549 + 1976*b310*b550 + 532*b310*b551 + 1344*b310*b552 + 2912*b310
    *b553 + 784*b310*b554 + 792*b310*b555 + 1716*b310*b556 + 462*b310*b557 + 
    1680*b310*b558 + 3640*b310*b559 + 980*b310*b560 + 2256*b310*b561 + 4888*
    b310*b562 + 1316*b310*b563 + 408*b310*b564 + 884*b310*b565 + 238*b310*b566
     + 1032*b310*b570 + 2236*b310*b571 + 602*b310*b572 + 480*b310*b573 + 1040*
    b310*b574 + 280*b310*b575 + 1632*b310*b576 + 3536*b310*b577 + 952*b310*b578
     + 840*b310*b579 + 1820*b310*b580 + 490*b310*b581 + 1440*b310*b582 + 3120*
    b310*b583 + 840*b310*b584 + 552*b310*b585 + 1196*b310*b586 + 322*b310*b587
     + 1152*b310*b588 + 2496*b310*b589 + 672*b310*b590 + 960*b310*b591 + 2080*
    b310*b592 + 560*b310*b593 + 240*b310*b594 + 520*b310*b595 + 140*b310*b596
     + 1008*b310*b597 + 2184*b310*b598 + 588*b310*b599 + 3400*b310*b600 + 1920*
    b310*b601 + 1040*b310*b602 + 2400*b310*b603 + 1760*b310*b604 + 1200*b310*
    b605 + 2000*b310*b606 + 1960*b310*b607 + 120*b310*b608 + 2720*b310*b609 + 
    1400*b310*b610 + 2480*b310*b611 + 1560*b310*b612 + 2640*b310*b613 + 1040*
    b310*b614 + 3640*b310*b615 + 1720*b310*b616 + 200*b310*b617 + 3280*b310*
    b618 + 1240*b310*b619 + 40*b310*b620 + 280*b310*b622 + 2840*b310*b623 + 
    2232*b310*b624 + 4836*b310*b625 + 1302*b310*b626 + 4316*b311*b334 + 15106*
    b311*b335 + 1826*b311*b336 + 5810*b311*b337 + 13612*b311*b338 + 4316*b311*
    b339 + 11454*b311*b340 + 9296*b311*b341 + 14276*b311*b342 + 7470*b311*b343
     + 15106*b311*b344 + 9794*b311*b345 + 2988*b311*b346 + 12616*b311*b347 + 
    2988*b311*b348 + 9462*b311*b349 + 5976*b311*b350 + 10126*b311*b351 + 5976*
    b311*b352 + 3486*b311*b353 + 11786*b311*b354 + 4264*b311*b356 + 14924*b311*
    b357 + 1804*b311*b358 + 5740*b311*b359 + 13448*b311*b360 + 4264*b311*b361
     + 11316*b311*b362 + 9184*b311*b363 + 14104*b311*b364 + 7380*b311*b365 + 
    14924*b311*b366 + 9676*b311*b367 + 2952*b311*b368 + 12464*b311*b369 + 2952*
    b311*b370 + 9348*b311*b371 + 5904*b311*b372 + 10004*b311*b373 + 5904*b311*
    b374 + 3444*b311*b375 + 11644*b311*b376 + 1404*b311*b378 + 4914*b311*b379
     + 594*b311*b380 + 1890*b311*b381 + 4428*b311*b382 + 1404*b311*b383 + 3726*
    b311*b384 + 3024*b311*b385 + 4644*b311*b386 + 2430*b311*b387 + 4914*b311*
    b388 + 3186*b311*b389 + 972*b311*b390 + 4104*b311*b391 + 972*b311*b392 + 
    3078*b311*b393 + 1944*b311*b394 + 3294*b311*b395 + 1944*b311*b396 + 1134*
    b311*b397 + 3834*b311*b398 + 2548*b311*b400 + 8918*b311*b401 + 1078*b311*
    b402 + 3430*b311*b403 + 8036*b311*b404 + 2548*b311*b405 + 6762*b311*b406 + 
    5488*b311*b407 + 8428*b311*b408 + 4410*b311*b409 + 8918*b311*b410 + 5782*
    b311*b411 + 1764*b311*b412 + 7448*b311*b413 + 1764*b311*b414 + 5586*b311*
    b415 + 3528*b311*b416 + 5978*b311*b417 + 3528*b311*b418 + 2058*b311*b419 + 
    6958*b311*b420 + 780*b311*b422 + 2730*b311*b423 + 330*b311*b424 + 1050*b311
    *b425 + 2460*b311*b426 + 780*b311*b427 + 2070*b311*b428 + 1680*b311*b429 + 
    2580*b311*b430 + 1350*b311*b431 + 2730*b311*b432 + 1770*b311*b433 + 540*
    b311*b434 + 2280*b311*b435 + 540*b311*b436 + 1710*b311*b437 + 1080*b311*
    b438 + 1830*b311*b439 + 1080*b311*b440 + 630*b311*b441 + 2130*b311*b442 + 
    1768*b311*b444 + 6188*b311*b445 + 748*b311*b446 + 2380*b311*b447 + 5576*
    b311*b448 + 1768*b311*b449 + 4692*b311*b450 + 3808*b311*b451 + 5848*b311*
    b452 + 3060*b311*b453 + 6188*b311*b454 + 4012*b311*b455 + 1224*b311*b456 + 
    5168*b311*b457 + 1224*b311*b458 + 3876*b311*b459 + 2448*b311*b460 + 4148*
    b311*b461 + 2448*b311*b462 + 1428*b311*b463 + 4828*b311*b464 + 2600*b311*
    b466 + 9100*b311*b467 + 1100*b311*b468 + 3500*b311*b469 + 8200*b311*b470 + 
    2600*b311*b471 + 6900*b311*b472 + 5600*b311*b473 + 8600*b311*b474 + 4500*
    b311*b475 + 9100*b311*b476 + 5900*b311*b477 + 1800*b311*b478 + 7600*b311*
    b479 + 1800*b311*b480 + 5700*b311*b481 + 3600*b311*b482 + 6100*b311*b483 + 
    3600*b311*b484 + 2100*b311*b485 + 7100*b311*b486 + 2184*b311*b488 + 7644*
    b311*b489 + 924*b311*b490 + 2940*b311*b491 + 6888*b311*b492 + 2184*b311*
    b493 + 5796*b311*b494 + 4704*b311*b495 + 7224*b311*b496 + 3780*b311*b497 + 
    7644*b311*b498 + 4956*b311*b499 + 1512*b311*b500 + 6384*b311*b501 + 1512*
    b311*b502 + 4788*b311*b503 + 3024*b311*b504 + 5124*b311*b505 + 3024*b311*
    b506 + 1764*b311*b507 + 5964*b311*b508 + 1352*b311*b510 + 4732*b311*b511 + 
    572*b311*b512 + 1820*b311*b513 + 4264*b311*b514 + 1352*b311*b515 + 3588*
    b311*b516 + 2912*b311*b517 + 4472*b311*b518 + 2340*b311*b519 + 4732*b311*
    b520 + 3068*b311*b521 + 936*b311*b522 + 3952*b311*b523 + 936*b311*b524 + 
    2964*b311*b525 + 1872*b311*b526 + 3172*b311*b527 + 1872*b311*b528 + 1092*
    b311*b529 + 3692*b311*b530 + 2310*b311*b531 + 4290*b311*b532 + 1210*b311*
    b533 + 1638*b311*b534 + 3042*b311*b535 + 858*b311*b536 + 2058*b311*b537 + 
    3822*b311*b538 + 1078*b311*b539 + 4032*b311*b540 + 7488*b311*b541 + 2112*
    b311*b542 + 1176*b311*b543 + 2184*b311*b544 + 616*b311*b545 + 2814*b311*
    b546 + 5226*b311*b547 + 1474*b311*b548 + 504*b311*b549 + 936*b311*b550 + 
    264*b311*b551 + 630*b311*b552 + 1170*b311*b553 + 330*b311*b554 + 2856*b311*
    b555 + 5304*b311*b556 + 1496*b311*b557 + 1176*b311*b558 + 2184*b311*b559 + 
    616*b311*b560 + 420*b311*b561 + 780*b311*b562 + 220*b311*b563 + 2436*b311*
    b564 + 4524*b311*b565 + 1276*b311*b566 + 1806*b311*b567 + 3354*b311*b568 + 
    946*b311*b569 + 3486*b311*b573 + 6474*b311*b574 + 1826*b311*b575 + 3444*
    b311*b576 + 6396*b311*b577 + 1804*b311*b578 + 1134*b311*b579 + 2106*b311*
    b580 + 594*b311*b581 + 2058*b311*b582 + 3822*b311*b583 + 1078*b311*b584 + 
    630*b311*b585 + 1170*b311*b586 + 330*b311*b587 + 1428*b311*b588 + 2652*b311
    *b589 + 748*b311*b590 + 2100*b311*b591 + 3900*b311*b592 + 1100*b311*b593 + 
    1764*b311*b594 + 3276*b311*b595 + 924*b311*b596 + 1092*b311*b597 + 2028*
    b311*b598 + 572*b311*b599 + 3848*b311*b600 + 13468*b311*b601 + 1628*b311*
    b602 + 5180*b311*b603 + 12136*b311*b604 + 3848*b311*b605 + 10212*b311*b606
     + 8288*b311*b607 + 12728*b311*b608 + 6660*b311*b609 + 13468*b311*b610 + 
    8732*b311*b611 + 2664*b311*b612 + 11248*b311*b613 + 5772*b311*b614 + 2664*
    b311*b615 + 8436*b311*b616 + 5328*b311*b617 + 9028*b311*b618 + 5328*b311*
    b619 + 3108*b311*b620 + 10508*b311*b621 + 1628*b311*b622 + 1638*b311*b624
     + 3042*b311*b625 + 858*b311*b626 + 4316*b312*b333 + 4814*b312*b335 + 13612
    *b312*b336 + 13612*b312*b337 + 996*b312*b338 + 11786*b312*b339 + 1328*b312*
    b340 + 12782*b312*b341 + 12284*b312*b342 + 4980*b312*b343 + 14774*b312*b344
     + 12616*b312*b345 + 12616*b312*b346 + 6640*b312*b347 + 9296*b312*b348 + 
    166*b312*b349 + 8300*b312*b350 + 664*b312*b351 + 5976*b312*b352 + 4482*b312
    *b353 + 14110*b312*b354 + 4264*b312*b355 + 4756*b312*b357 + 13448*b312*b358
     + 13448*b312*b359 + 984*b312*b360 + 11644*b312*b361 + 1312*b312*b362 + 
    12628*b312*b363 + 12136*b312*b364 + 4920*b312*b365 + 14596*b312*b366 + 
    12464*b312*b367 + 12464*b312*b368 + 6560*b312*b369 + 9184*b312*b370 + 164*
    b312*b371 + 8200*b312*b372 + 656*b312*b373 + 5904*b312*b374 + 4428*b312*
    b375 + 13940*b312*b376 + 1404*b312*b377 + 1566*b312*b379 + 4428*b312*b380
     + 4428*b312*b381 + 324*b312*b382 + 3834*b312*b383 + 432*b312*b384 + 4158*
    b312*b385 + 3996*b312*b386 + 1620*b312*b387 + 4806*b312*b388 + 4104*b312*
    b389 + 4104*b312*b390 + 2160*b312*b391 + 3024*b312*b392 + 54*b312*b393 + 
    2700*b312*b394 + 216*b312*b395 + 1944*b312*b396 + 1458*b312*b397 + 4590*
    b312*b398 + 2548*b312*b399 + 2842*b312*b401 + 8036*b312*b402 + 8036*b312*
    b403 + 588*b312*b404 + 6958*b312*b405 + 784*b312*b406 + 7546*b312*b407 + 
    7252*b312*b408 + 2940*b312*b409 + 8722*b312*b410 + 7448*b312*b411 + 7448*
    b312*b412 + 3920*b312*b413 + 5488*b312*b414 + 98*b312*b415 + 4900*b312*b416
     + 392*b312*b417 + 3528*b312*b418 + 2646*b312*b419 + 8330*b312*b420 + 780*
    b312*b421 + 870*b312*b423 + 2460*b312*b424 + 2460*b312*b425 + 180*b312*b426
     + 2130*b312*b427 + 240*b312*b428 + 2310*b312*b429 + 2220*b312*b430 + 900*
    b312*b431 + 2670*b312*b432 + 2280*b312*b433 + 2280*b312*b434 + 1200*b312*
    b435 + 1680*b312*b436 + 30*b312*b437 + 1500*b312*b438 + 120*b312*b439 + 
    1080*b312*b440 + 810*b312*b441 + 2550*b312*b442 + 1768*b312*b443 + 1972*
    b312*b445 + 5576*b312*b446 + 5576*b312*b447 + 408*b312*b448 + 4828*b312*
    b449 + 544*b312*b450 + 5236*b312*b451 + 5032*b312*b452 + 2040*b312*b453 + 
    6052*b312*b454 + 5168*b312*b455 + 5168*b312*b456 + 2720*b312*b457 + 3808*
    b312*b458 + 68*b312*b459 + 3400*b312*b460 + 272*b312*b461 + 2448*b312*b462
     + 1836*b312*b463 + 5780*b312*b464 + 2600*b312*b465 + 2900*b312*b467 + 8200
    *b312*b468 + 8200*b312*b469 + 600*b312*b470 + 7100*b312*b471 + 800*b312*
    b472 + 7700*b312*b473 + 7400*b312*b474 + 3000*b312*b475 + 8900*b312*b476 + 
    7600*b312*b477 + 7600*b312*b478 + 4000*b312*b479 + 5600*b312*b480 + 100*
    b312*b481 + 5000*b312*b482 + 400*b312*b483 + 3600*b312*b484 + 2700*b312*
    b485 + 8500*b312*b486 + 2184*b312*b487 + 2436*b312*b489 + 6888*b312*b490 + 
    6888*b312*b491 + 504*b312*b492 + 5964*b312*b493 + 672*b312*b494 + 6468*b312
    *b495 + 6216*b312*b496 + 2520*b312*b497 + 7476*b312*b498 + 6384*b312*b499
     + 6384*b312*b500 + 3360*b312*b501 + 4704*b312*b502 + 84*b312*b503 + 4200*
    b312*b504 + 336*b312*b505 + 3024*b312*b506 + 2268*b312*b507 + 7140*b312*
    b508 + 1352*b312*b509 + 1508*b312*b511 + 4264*b312*b512 + 4264*b312*b513 + 
    312*b312*b514 + 3692*b312*b515 + 416*b312*b516 + 4004*b312*b517 + 3848*b312
    *b518 + 1560*b312*b519 + 4628*b312*b520 + 3952*b312*b521 + 3952*b312*b522
     + 2080*b312*b523 + 2912*b312*b524 + 52*b312*b525 + 2600*b312*b526 + 208*
    b312*b527 + 1872*b312*b528 + 1404*b312*b529 + 4420*b312*b530 + 10450*b312*
    b531 + 10230*b312*b532 + 220*b312*b533 + 7410*b312*b534 + 7254*b312*b535 + 
    156*b312*b536 + 9310*b312*b537 + 9114*b312*b538 + 196*b312*b539 + 18240*
    b312*b540 + 17856*b312*b541 + 384*b312*b542 + 5320*b312*b543 + 5208*b312*
    b544 + 112*b312*b545 + 12730*b312*b546 + 12462*b312*b547 + 268*b312*b548 + 
    2280*b312*b549 + 2232*b312*b550 + 48*b312*b551 + 2850*b312*b552 + 2790*b312
    *b553 + 60*b312*b554 + 12920*b312*b555 + 12648*b312*b556 + 272*b312*b557 + 
    5320*b312*b558 + 5208*b312*b559 + 112*b312*b560 + 1900*b312*b561 + 1860*
    b312*b562 + 40*b312*b563 + 11020*b312*b564 + 10788*b312*b565 + 232*b312*
    b566 + 8170*b312*b567 + 7998*b312*b568 + 172*b312*b569 + 15770*b312*b573 + 
    15438*b312*b574 + 332*b312*b575 + 15580*b312*b576 + 15252*b312*b577 + 328*
    b312*b578 + 5130*b312*b579 + 5022*b312*b580 + 108*b312*b581 + 9310*b312*
    b582 + 9114*b312*b583 + 196*b312*b584 + 2850*b312*b585 + 2790*b312*b586 + 
    60*b312*b587 + 6460*b312*b588 + 6324*b312*b589 + 136*b312*b590 + 9500*b312*
    b591 + 9300*b312*b592 + 200*b312*b593 + 7980*b312*b594 + 7812*b312*b595 + 
    168*b312*b596 + 4940*b312*b597 + 4836*b312*b598 + 104*b312*b599 + 4292*b312
    *b601 + 12136*b312*b602 + 12136*b312*b603 + 888*b312*b604 + 10508*b312*b605
     + 1184*b312*b606 + 11396*b312*b607 + 10952*b312*b608 + 4440*b312*b609 + 
    13172*b312*b610 + 11248*b312*b611 + 11248*b312*b612 + 5920*b312*b613 + 
    13764*b312*b614 + 8288*b312*b615 + 148*b312*b616 + 7400*b312*b617 + 592*
    b312*b618 + 5328*b312*b619 + 3996*b312*b620 + 12580*b312*b621 + 296*b312*
    b622 + 3848*b312*b623 + 7410*b312*b624 + 7254*b312*b625 + 156*b312*b626 + 
    15106*b313*b333 + 4814*b313*b334 + 166*b313*b336 + 2490*b313*b337 + 1826*
    b313*b338 + 5810*b313*b339 + 1826*b313*b340 + 3320*b313*b341 + 3486*b313*
    b342 + 10126*b313*b343 + 13280*b313*b344 + 9628*b313*b345 + 3486*b313*b346
     + 12616*b313*b347 + 7304*b313*b348 + 14110*b313*b349 + 15604*b313*b350 + 
    14940*b313*b351 + 8466*b313*b352 + 498*b313*b353 + 7968*b313*b354 + 14924*
    b313*b355 + 4756*b313*b356 + 164*b313*b358 + 2460*b313*b359 + 1804*b313*
    b360 + 5740*b313*b361 + 1804*b313*b362 + 3280*b313*b363 + 3444*b313*b364 + 
    10004*b313*b365 + 13120*b313*b366 + 9512*b313*b367 + 3444*b313*b368 + 12464
    *b313*b369 + 7216*b313*b370 + 13940*b313*b371 + 15416*b313*b372 + 14760*
    b313*b373 + 8364*b313*b374 + 492*b313*b375 + 7872*b313*b376 + 4914*b313*
    b377 + 1566*b313*b378 + 54*b313*b380 + 810*b313*b381 + 594*b313*b382 + 1890
    *b313*b383 + 594*b313*b384 + 1080*b313*b385 + 1134*b313*b386 + 3294*b313*
    b387 + 4320*b313*b388 + 3132*b313*b389 + 1134*b313*b390 + 4104*b313*b391 + 
    2376*b313*b392 + 4590*b313*b393 + 5076*b313*b394 + 4860*b313*b395 + 2754*
    b313*b396 + 162*b313*b397 + 2592*b313*b398 + 8918*b313*b399 + 2842*b313*
    b400 + 98*b313*b402 + 1470*b313*b403 + 1078*b313*b404 + 3430*b313*b405 + 
    1078*b313*b406 + 1960*b313*b407 + 2058*b313*b408 + 5978*b313*b409 + 7840*
    b313*b410 + 5684*b313*b411 + 2058*b313*b412 + 7448*b313*b413 + 4312*b313*
    b414 + 8330*b313*b415 + 9212*b313*b416 + 8820*b313*b417 + 4998*b313*b418 + 
    294*b313*b419 + 4704*b313*b420 + 2730*b313*b421 + 870*b313*b422 + 30*b313*
    b424 + 450*b313*b425 + 330*b313*b426 + 1050*b313*b427 + 330*b313*b428 + 600
    *b313*b429 + 630*b313*b430 + 1830*b313*b431 + 2400*b313*b432 + 1740*b313*
    b433 + 630*b313*b434 + 2280*b313*b435 + 1320*b313*b436 + 2550*b313*b437 + 
    2820*b313*b438 + 2700*b313*b439 + 1530*b313*b440 + 90*b313*b441 + 1440*b313
    *b442 + 6188*b313*b443 + 1972*b313*b444 + 68*b313*b446 + 1020*b313*b447 + 
    748*b313*b448 + 2380*b313*b449 + 748*b313*b450 + 1360*b313*b451 + 1428*b313
    *b452 + 4148*b313*b453 + 5440*b313*b454 + 3944*b313*b455 + 1428*b313*b456
     + 5168*b313*b457 + 2992*b313*b458 + 5780*b313*b459 + 6392*b313*b460 + 6120
    *b313*b461 + 3468*b313*b462 + 204*b313*b463 + 3264*b313*b464 + 9100*b313*
    b465 + 2900*b313*b466 + 100*b313*b468 + 1500*b313*b469 + 1100*b313*b470 + 
    3500*b313*b471 + 1100*b313*b472 + 2000*b313*b473 + 2100*b313*b474 + 6100*
    b313*b475 + 8000*b313*b476 + 5800*b313*b477 + 2100*b313*b478 + 7600*b313*
    b479 + 4400*b313*b480 + 8500*b313*b481 + 9400*b313*b482 + 9000*b313*b483 + 
    5100*b313*b484 + 300*b313*b485 + 4800*b313*b486 + 7644*b313*b487 + 2436*
    b313*b488 + 84*b313*b490 + 1260*b313*b491 + 924*b313*b492 + 2940*b313*b493
     + 924*b313*b494 + 1680*b313*b495 + 1764*b313*b496 + 5124*b313*b497 + 6720*
    b313*b498 + 4872*b313*b499 + 1764*b313*b500 + 6384*b313*b501 + 3696*b313*
    b502 + 7140*b313*b503 + 7896*b313*b504 + 7560*b313*b505 + 4284*b313*b506 + 
    252*b313*b507 + 4032*b313*b508 + 4732*b313*b509 + 1508*b313*b510 + 52*b313*
    b512 + 780*b313*b513 + 572*b313*b514 + 1820*b313*b515 + 572*b313*b516 + 
    1040*b313*b517 + 1092*b313*b518 + 3172*b313*b519 + 4160*b313*b520 + 3016*
    b313*b521 + 1092*b313*b522 + 3952*b313*b523 + 2288*b313*b524 + 4420*b313*
    b525 + 4888*b313*b526 + 4680*b313*b527 + 2652*b313*b528 + 156*b313*b529 + 
    2496*b313*b530 + 9020*b313*b531 + 7920*b313*b532 + 3190*b313*b533 + 6396*
    b313*b534 + 5616*b313*b535 + 2262*b313*b536 + 8036*b313*b537 + 7056*b313*
    b538 + 2842*b313*b539 + 15744*b313*b540 + 13824*b313*b541 + 5568*b313*b542
     + 4592*b313*b543 + 4032*b313*b544 + 1624*b313*b545 + 10988*b313*b546 + 
    9648*b313*b547 + 3886*b313*b548 + 1968*b313*b549 + 1728*b313*b550 + 696*
    b313*b551 + 2460*b313*b552 + 2160*b313*b553 + 870*b313*b554 + 11152*b313*
    b555 + 9792*b313*b556 + 3944*b313*b557 + 4592*b313*b558 + 4032*b313*b559 + 
    1624*b313*b560 + 1640*b313*b561 + 1440*b313*b562 + 580*b313*b563 + 9512*
    b313*b564 + 8352*b313*b565 + 3364*b313*b566 + 7052*b313*b567 + 6192*b313*
    b568 + 2494*b313*b569 + 13612*b313*b573 + 11952*b313*b574 + 4814*b313*b575
     + 13448*b313*b576 + 11808*b313*b577 + 4756*b313*b578 + 4428*b313*b579 + 
    3888*b313*b580 + 1566*b313*b581 + 8036*b313*b582 + 7056*b313*b583 + 2842*
    b313*b584 + 2460*b313*b585 + 2160*b313*b586 + 870*b313*b587 + 5576*b313*
    b588 + 4896*b313*b589 + 1972*b313*b590 + 8200*b313*b591 + 7200*b313*b592 + 
    2900*b313*b593 + 6888*b313*b594 + 6048*b313*b595 + 2436*b313*b596 + 4264*
    b313*b597 + 3744*b313*b598 + 1508*b313*b599 + 4292*b313*b600 + 148*b313*
    b602 + 2220*b313*b603 + 1628*b313*b604 + 5180*b313*b605 + 1628*b313*b606 + 
    2960*b313*b607 + 3108*b313*b608 + 9028*b313*b609 + 11840*b313*b610 + 8584*
    b313*b611 + 3108*b313*b612 + 11248*b313*b613 + 10656*b313*b614 + 6512*b313*
    b615 + 12580*b313*b616 + 13912*b313*b617 + 13320*b313*b618 + 7548*b313*b619
     + 444*b313*b620 + 7104*b313*b621 + 4292*b313*b622 + 13468*b313*b623 + 6396
    *b313*b624 + 5616*b313*b625 + 2262*b313*b626 + 1826*b314*b333 + 13612*b314*
    b334 + 166*b314*b335 + 14940*b314*b337 + 10956*b314*b338 + 6806*b314*b339
     + 2490*b314*b340 + 13778*b314*b341 + 15936*b314*b342 + 12284*b314*b343 + 
    7470*b314*b344 + 10790*b314*b345 + 6640*b314*b346 + 8964*b314*b347 + 2324*
    b314*b348 + 11786*b314*b349 + 12782*b314*b350 + 5976*b314*b351 + 8798*b314*
    b352 + 6142*b314*b353 + 4316*b314*b354 + 1804*b314*b355 + 13448*b314*b356
     + 164*b314*b357 + 14760*b314*b359 + 10824*b314*b360 + 6724*b314*b361 + 
    2460*b314*b362 + 13612*b314*b363 + 15744*b314*b364 + 12136*b314*b365 + 7380
    *b314*b366 + 10660*b314*b367 + 6560*b314*b368 + 8856*b314*b369 + 2296*b314*
    b370 + 11644*b314*b371 + 12628*b314*b372 + 5904*b314*b373 + 8692*b314*b374
     + 6068*b314*b375 + 4264*b314*b376 + 594*b314*b377 + 4428*b314*b378 + 54*
    b314*b379 + 4860*b314*b381 + 3564*b314*b382 + 2214*b314*b383 + 810*b314*
    b384 + 4482*b314*b385 + 5184*b314*b386 + 3996*b314*b387 + 2430*b314*b388 + 
    3510*b314*b389 + 2160*b314*b390 + 2916*b314*b391 + 756*b314*b392 + 3834*
    b314*b393 + 4158*b314*b394 + 1944*b314*b395 + 2862*b314*b396 + 1998*b314*
    b397 + 1404*b314*b398 + 1078*b314*b399 + 8036*b314*b400 + 98*b314*b401 + 
    8820*b314*b403 + 6468*b314*b404 + 4018*b314*b405 + 1470*b314*b406 + 8134*
    b314*b407 + 9408*b314*b408 + 7252*b314*b409 + 4410*b314*b410 + 6370*b314*
    b411 + 3920*b314*b412 + 5292*b314*b413 + 1372*b314*b414 + 6958*b314*b415 + 
    7546*b314*b416 + 3528*b314*b417 + 5194*b314*b418 + 3626*b314*b419 + 2548*
    b314*b420 + 330*b314*b421 + 2460*b314*b422 + 30*b314*b423 + 2700*b314*b425
     + 1980*b314*b426 + 1230*b314*b427 + 450*b314*b428 + 2490*b314*b429 + 2880*
    b314*b430 + 2220*b314*b431 + 1350*b314*b432 + 1950*b314*b433 + 1200*b314*
    b434 + 1620*b314*b435 + 420*b314*b436 + 2130*b314*b437 + 2310*b314*b438 + 
    1080*b314*b439 + 1590*b314*b440 + 1110*b314*b441 + 780*b314*b442 + 748*b314
    *b443 + 5576*b314*b444 + 68*b314*b445 + 6120*b314*b447 + 4488*b314*b448 + 
    2788*b314*b449 + 1020*b314*b450 + 5644*b314*b451 + 6528*b314*b452 + 5032*
    b314*b453 + 3060*b314*b454 + 4420*b314*b455 + 2720*b314*b456 + 3672*b314*
    b457 + 952*b314*b458 + 4828*b314*b459 + 5236*b314*b460 + 2448*b314*b461 + 
    3604*b314*b462 + 2516*b314*b463 + 1768*b314*b464 + 1100*b314*b465 + 8200*
    b314*b466 + 100*b314*b467 + 9000*b314*b469 + 6600*b314*b470 + 4100*b314*
    b471 + 1500*b314*b472 + 8300*b314*b473 + 9600*b314*b474 + 7400*b314*b475 + 
    4500*b314*b476 + 6500*b314*b477 + 4000*b314*b478 + 5400*b314*b479 + 1400*
    b314*b480 + 7100*b314*b481 + 7700*b314*b482 + 3600*b314*b483 + 5300*b314*
    b484 + 3700*b314*b485 + 2600*b314*b486 + 924*b314*b487 + 6888*b314*b488 + 
    84*b314*b489 + 7560*b314*b491 + 5544*b314*b492 + 3444*b314*b493 + 1260*b314
    *b494 + 6972*b314*b495 + 8064*b314*b496 + 6216*b314*b497 + 3780*b314*b498
     + 5460*b314*b499 + 3360*b314*b500 + 4536*b314*b501 + 1176*b314*b502 + 5964
    *b314*b503 + 6468*b314*b504 + 3024*b314*b505 + 4452*b314*b506 + 3108*b314*
    b507 + 2184*b314*b508 + 572*b314*b509 + 4264*b314*b510 + 52*b314*b511 + 
    4680*b314*b513 + 3432*b314*b514 + 2132*b314*b515 + 780*b314*b516 + 4316*
    b314*b517 + 4992*b314*b518 + 3848*b314*b519 + 2340*b314*b520 + 3380*b314*
    b521 + 2080*b314*b522 + 2808*b314*b523 + 728*b314*b524 + 3692*b314*b525 + 
    4004*b314*b526 + 1872*b314*b527 + 2756*b314*b528 + 1924*b314*b529 + 1352*
    b314*b530 + 6160*b314*b531 + 9130*b314*b532 + 9570*b314*b533 + 4368*b314*
    b534 + 6474*b314*b535 + 6786*b314*b536 + 5488*b314*b537 + 8134*b314*b538 + 
    8526*b314*b539 + 10752*b314*b540 + 15936*b314*b541 + 16704*b314*b542 + 3136
    *b314*b543 + 4648*b314*b544 + 4872*b314*b545 + 7504*b314*b546 + 11122*b314*
    b547 + 11658*b314*b548 + 1344*b314*b549 + 1992*b314*b550 + 2088*b314*b551
     + 1680*b314*b552 + 2490*b314*b553 + 2610*b314*b554 + 7616*b314*b555 + 
    11288*b314*b556 + 11832*b314*b557 + 3136*b314*b558 + 4648*b314*b559 + 4872*
    b314*b560 + 1120*b314*b561 + 1660*b314*b562 + 1740*b314*b563 + 6496*b314*
    b564 + 9628*b314*b565 + 10092*b314*b566 + 4816*b314*b567 + 7138*b314*b568
     + 7482*b314*b569 + 9296*b314*b573 + 13778*b314*b574 + 14442*b314*b575 + 
    9184*b314*b576 + 13612*b314*b577 + 14268*b314*b578 + 3024*b314*b579 + 4482*
    b314*b580 + 4698*b314*b581 + 5488*b314*b582 + 8134*b314*b583 + 8526*b314*
    b584 + 1680*b314*b585 + 2490*b314*b586 + 2610*b314*b587 + 3808*b314*b588 + 
    5644*b314*b589 + 5916*b314*b590 + 5600*b314*b591 + 8300*b314*b592 + 8700*
    b314*b593 + 4704*b314*b594 + 6972*b314*b595 + 7308*b314*b596 + 2912*b314*
    b597 + 4316*b314*b598 + 4524*b314*b599 + 12136*b314*b600 + 148*b314*b601 + 
    13320*b314*b603 + 9768*b314*b604 + 6068*b314*b605 + 2220*b314*b606 + 12284*
    b314*b607 + 14208*b314*b608 + 10952*b314*b609 + 6660*b314*b610 + 9620*b314*
    b611 + 5920*b314*b612 + 7992*b314*b613 + 12284*b314*b614 + 2072*b314*b615
     + 10508*b314*b616 + 11396*b314*b617 + 5328*b314*b618 + 7844*b314*b619 + 
    5476*b314*b620 + 3848*b314*b621 + 12876*b314*b622 + 1628*b314*b623 + 4368*
    b314*b624 + 6474*b314*b625 + 6786*b314*b626 + 5810*b315*b333 + 13612*b315*
    b334 + 2490*b315*b335 + 14940*b315*b336 + 12616*b315*b338 + 15106*b315*b339
     + 2158*b315*b340 + 4814*b315*b341 + 1826*b315*b342 + 12782*b315*b343 + 
    5312*b315*b344 + 14442*b315*b345 + 11122*b315*b346 + 15604*b315*b347 + 332*
    b315*b348 + 1660*b315*b349 + 16434*b315*b350 + 9296*b315*b351 + 11620*b315*
    b352 + 16434*b315*b353 + 9960*b315*b354 + 5740*b315*b355 + 13448*b315*b356
     + 2460*b315*b357 + 14760*b315*b358 + 12464*b315*b360 + 14924*b315*b361 + 
    2132*b315*b362 + 4756*b315*b363 + 1804*b315*b364 + 12628*b315*b365 + 5248*
    b315*b366 + 14268*b315*b367 + 10988*b315*b368 + 15416*b315*b369 + 328*b315*
    b370 + 1640*b315*b371 + 16236*b315*b372 + 9184*b315*b373 + 11480*b315*b374
     + 16236*b315*b375 + 9840*b315*b376 + 1890*b315*b377 + 4428*b315*b378 + 810
    *b315*b379 + 4860*b315*b380 + 4104*b315*b382 + 4914*b315*b383 + 702*b315*
    b384 + 1566*b315*b385 + 594*b315*b386 + 4158*b315*b387 + 1728*b315*b388 + 
    4698*b315*b389 + 3618*b315*b390 + 5076*b315*b391 + 108*b315*b392 + 540*b315
    *b393 + 5346*b315*b394 + 3024*b315*b395 + 3780*b315*b396 + 5346*b315*b397
     + 3240*b315*b398 + 3430*b315*b399 + 8036*b315*b400 + 1470*b315*b401 + 8820
    *b315*b402 + 7448*b315*b404 + 8918*b315*b405 + 1274*b315*b406 + 2842*b315*
    b407 + 1078*b315*b408 + 7546*b315*b409 + 3136*b315*b410 + 8526*b315*b411 + 
    6566*b315*b412 + 9212*b315*b413 + 196*b315*b414 + 980*b315*b415 + 9702*b315
    *b416 + 5488*b315*b417 + 6860*b315*b418 + 9702*b315*b419 + 5880*b315*b420
     + 1050*b315*b421 + 2460*b315*b422 + 450*b315*b423 + 2700*b315*b424 + 2280*
    b315*b426 + 2730*b315*b427 + 390*b315*b428 + 870*b315*b429 + 330*b315*b430
     + 2310*b315*b431 + 960*b315*b432 + 2610*b315*b433 + 2010*b315*b434 + 2820*
    b315*b435 + 60*b315*b436 + 300*b315*b437 + 2970*b315*b438 + 1680*b315*b439
     + 2100*b315*b440 + 2970*b315*b441 + 1800*b315*b442 + 2380*b315*b443 + 5576
    *b315*b444 + 1020*b315*b445 + 6120*b315*b446 + 5168*b315*b448 + 6188*b315*
    b449 + 884*b315*b450 + 1972*b315*b451 + 748*b315*b452 + 5236*b315*b453 + 
    2176*b315*b454 + 5916*b315*b455 + 4556*b315*b456 + 6392*b315*b457 + 136*
    b315*b458 + 680*b315*b459 + 6732*b315*b460 + 3808*b315*b461 + 4760*b315*
    b462 + 6732*b315*b463 + 4080*b315*b464 + 3500*b315*b465 + 8200*b315*b466 + 
    1500*b315*b467 + 9000*b315*b468 + 7600*b315*b470 + 9100*b315*b471 + 1300*
    b315*b472 + 2900*b315*b473 + 1100*b315*b474 + 7700*b315*b475 + 3200*b315*
    b476 + 8700*b315*b477 + 6700*b315*b478 + 9400*b315*b479 + 200*b315*b480 + 
    1000*b315*b481 + 9900*b315*b482 + 5600*b315*b483 + 7000*b315*b484 + 9900*
    b315*b485 + 6000*b315*b486 + 2940*b315*b487 + 6888*b315*b488 + 1260*b315*
    b489 + 7560*b315*b490 + 6384*b315*b492 + 7644*b315*b493 + 1092*b315*b494 + 
    2436*b315*b495 + 924*b315*b496 + 6468*b315*b497 + 2688*b315*b498 + 7308*
    b315*b499 + 5628*b315*b500 + 7896*b315*b501 + 168*b315*b502 + 840*b315*b503
     + 8316*b315*b504 + 4704*b315*b505 + 5880*b315*b506 + 8316*b315*b507 + 5040
    *b315*b508 + 1820*b315*b509 + 4264*b315*b510 + 780*b315*b511 + 4680*b315*
    b512 + 3952*b315*b514 + 4732*b315*b515 + 676*b315*b516 + 1508*b315*b517 + 
    572*b315*b518 + 4004*b315*b519 + 1664*b315*b520 + 4524*b315*b521 + 3484*
    b315*b522 + 4888*b315*b523 + 104*b315*b524 + 520*b315*b525 + 5148*b315*b526
     + 2912*b315*b527 + 3640*b315*b528 + 5148*b315*b529 + 3120*b315*b530 + 4510
    *b315*b531 + 8690*b315*b532 + 440*b315*b533 + 3198*b315*b534 + 6162*b315*
    b535 + 312*b315*b536 + 4018*b315*b537 + 7742*b315*b538 + 392*b315*b539 + 
    7872*b315*b540 + 15168*b315*b541 + 768*b315*b542 + 2296*b315*b543 + 4424*
    b315*b544 + 224*b315*b545 + 5494*b315*b546 + 10586*b315*b547 + 536*b315*
    b548 + 984*b315*b549 + 1896*b315*b550 + 96*b315*b551 + 1230*b315*b552 + 
    2370*b315*b553 + 120*b315*b554 + 5576*b315*b555 + 10744*b315*b556 + 544*
    b315*b557 + 2296*b315*b558 + 4424*b315*b559 + 224*b315*b560 + 820*b315*b561
     + 1580*b315*b562 + 80*b315*b563 + 4756*b315*b564 + 9164*b315*b565 + 464*
    b315*b566 + 3526*b315*b567 + 6794*b315*b568 + 344*b315*b569 + 6806*b315*
    b573 + 13114*b315*b574 + 664*b315*b575 + 6724*b315*b576 + 12956*b315*b577
     + 656*b315*b578 + 2214*b315*b579 + 4266*b315*b580 + 216*b315*b581 + 4018*
    b315*b582 + 7742*b315*b583 + 392*b315*b584 + 1230*b315*b585 + 2370*b315*
    b586 + 120*b315*b587 + 2788*b315*b588 + 5372*b315*b589 + 272*b315*b590 + 
    4100*b315*b591 + 7900*b315*b592 + 400*b315*b593 + 3444*b315*b594 + 6636*
    b315*b595 + 336*b315*b596 + 2132*b315*b597 + 4108*b315*b598 + 208*b315*b599
     + 12136*b315*b600 + 2220*b315*b601 + 13320*b315*b602 + 11248*b315*b604 + 
    13468*b315*b605 + 1924*b315*b606 + 4292*b315*b607 + 1628*b315*b608 + 11396*
    b315*b609 + 4736*b315*b610 + 12876*b315*b611 + 9916*b315*b612 + 13912*b315*
    b613 + 11692*b315*b614 + 296*b315*b615 + 1480*b315*b616 + 14652*b315*b617
     + 8288*b315*b618 + 10360*b315*b619 + 14652*b315*b620 + 8880*b315*b621 + 
    592*b315*b622 + 5180*b315*b623 + 3198*b315*b624 + 6162*b315*b625 + 312*b315
    *b626 + 13612*b316*b333 + 996*b316*b334 + 1826*b316*b335 + 10956*b316*b336
     + 12616*b316*b337 + 9296*b316*b339 + 332*b316*b340 + 9960*b316*b341 + 
    11952*b316*b342 + 12284*b316*b343 + 7636*b316*b344 + 2158*b316*b345 + 3320*
    b316*b346 + 14276*b316*b347 + 12782*b316*b348 + 2490*b316*b349 + 14774*b316
    *b350 + 7968*b316*b351 + 2324*b316*b352 + 14774*b316*b353 + 7304*b316*b354
     + 13448*b316*b355 + 984*b316*b356 + 1804*b316*b357 + 10824*b316*b358 + 
    12464*b316*b359 + 9184*b316*b361 + 328*b316*b362 + 9840*b316*b363 + 11808*
    b316*b364 + 12136*b316*b365 + 7544*b316*b366 + 2132*b316*b367 + 3280*b316*
    b368 + 14104*b316*b369 + 12628*b316*b370 + 2460*b316*b371 + 14596*b316*b372
     + 7872*b316*b373 + 2296*b316*b374 + 14596*b316*b375 + 7216*b316*b376 + 
    4428*b316*b377 + 324*b316*b378 + 594*b316*b379 + 3564*b316*b380 + 4104*b316
    *b381 + 3024*b316*b383 + 108*b316*b384 + 3240*b316*b385 + 3888*b316*b386 + 
    3996*b316*b387 + 2484*b316*b388 + 702*b316*b389 + 1080*b316*b390 + 4644*
    b316*b391 + 4158*b316*b392 + 810*b316*b393 + 4806*b316*b394 + 2592*b316*
    b395 + 756*b316*b396 + 4806*b316*b397 + 2376*b316*b398 + 8036*b316*b399 + 
    588*b316*b400 + 1078*b316*b401 + 6468*b316*b402 + 7448*b316*b403 + 5488*
    b316*b405 + 196*b316*b406 + 5880*b316*b407 + 7056*b316*b408 + 7252*b316*
    b409 + 4508*b316*b410 + 1274*b316*b411 + 1960*b316*b412 + 8428*b316*b413 + 
    7546*b316*b414 + 1470*b316*b415 + 8722*b316*b416 + 4704*b316*b417 + 1372*
    b316*b418 + 8722*b316*b419 + 4312*b316*b420 + 2460*b316*b421 + 180*b316*
    b422 + 330*b316*b423 + 1980*b316*b424 + 2280*b316*b425 + 1680*b316*b427 + 
    60*b316*b428 + 1800*b316*b429 + 2160*b316*b430 + 2220*b316*b431 + 1380*b316
    *b432 + 390*b316*b433 + 600*b316*b434 + 2580*b316*b435 + 2310*b316*b436 + 
    450*b316*b437 + 2670*b316*b438 + 1440*b316*b439 + 420*b316*b440 + 2670*b316
    *b441 + 1320*b316*b442 + 5576*b316*b443 + 408*b316*b444 + 748*b316*b445 + 
    4488*b316*b446 + 5168*b316*b447 + 3808*b316*b449 + 136*b316*b450 + 4080*
    b316*b451 + 4896*b316*b452 + 5032*b316*b453 + 3128*b316*b454 + 884*b316*
    b455 + 1360*b316*b456 + 5848*b316*b457 + 5236*b316*b458 + 1020*b316*b459 + 
    6052*b316*b460 + 3264*b316*b461 + 952*b316*b462 + 6052*b316*b463 + 2992*
    b316*b464 + 8200*b316*b465 + 600*b316*b466 + 1100*b316*b467 + 6600*b316*
    b468 + 7600*b316*b469 + 5600*b316*b471 + 200*b316*b472 + 6000*b316*b473 + 
    7200*b316*b474 + 7400*b316*b475 + 4600*b316*b476 + 1300*b316*b477 + 2000*
    b316*b478 + 8600*b316*b479 + 7700*b316*b480 + 1500*b316*b481 + 8900*b316*
    b482 + 4800*b316*b483 + 1400*b316*b484 + 8900*b316*b485 + 4400*b316*b486 + 
    6888*b316*b487 + 504*b316*b488 + 924*b316*b489 + 5544*b316*b490 + 6384*b316
    *b491 + 4704*b316*b493 + 168*b316*b494 + 5040*b316*b495 + 6048*b316*b496 + 
    6216*b316*b497 + 3864*b316*b498 + 1092*b316*b499 + 1680*b316*b500 + 7224*
    b316*b501 + 6468*b316*b502 + 1260*b316*b503 + 7476*b316*b504 + 4032*b316*
    b505 + 1176*b316*b506 + 7476*b316*b507 + 3696*b316*b508 + 4264*b316*b509 + 
    312*b316*b510 + 572*b316*b511 + 3432*b316*b512 + 3952*b316*b513 + 2912*b316
    *b515 + 104*b316*b516 + 3120*b316*b517 + 3744*b316*b518 + 3848*b316*b519 + 
    2392*b316*b520 + 676*b316*b521 + 1040*b316*b522 + 4472*b316*b523 + 4004*
    b316*b524 + 780*b316*b525 + 4628*b316*b526 + 2496*b316*b527 + 728*b316*b528
     + 4628*b316*b529 + 2288*b316*b530 + 660*b316*b531 + 440*b316*b532 + 6490*
    b316*b533 + 468*b316*b534 + 312*b316*b535 + 4602*b316*b536 + 588*b316*b537
     + 392*b316*b538 + 5782*b316*b539 + 1152*b316*b540 + 768*b316*b541 + 11328*
    b316*b542 + 336*b316*b543 + 224*b316*b544 + 3304*b316*b545 + 804*b316*b546
     + 536*b316*b547 + 7906*b316*b548 + 144*b316*b549 + 96*b316*b550 + 1416*
    b316*b551 + 180*b316*b552 + 120*b316*b553 + 1770*b316*b554 + 816*b316*b555
     + 544*b316*b556 + 8024*b316*b557 + 336*b316*b558 + 224*b316*b559 + 3304*
    b316*b560 + 120*b316*b561 + 80*b316*b562 + 1180*b316*b563 + 696*b316*b564
     + 464*b316*b565 + 6844*b316*b566 + 516*b316*b567 + 344*b316*b568 + 5074*
    b316*b569 + 996*b316*b573 + 664*b316*b574 + 9794*b316*b575 + 984*b316*b576
     + 656*b316*b577 + 9676*b316*b578 + 324*b316*b579 + 216*b316*b580 + 3186*
    b316*b581 + 588*b316*b582 + 392*b316*b583 + 5782*b316*b584 + 180*b316*b585
     + 120*b316*b586 + 1770*b316*b587 + 408*b316*b588 + 272*b316*b589 + 4012*
    b316*b590 + 600*b316*b591 + 400*b316*b592 + 5900*b316*b593 + 504*b316*b594
     + 336*b316*b595 + 4956*b316*b596 + 312*b316*b597 + 208*b316*b598 + 3068*
    b316*b599 + 888*b316*b600 + 1628*b316*b601 + 9768*b316*b602 + 11248*b316*
    b603 + 8288*b316*b605 + 296*b316*b606 + 8880*b316*b607 + 10656*b316*b608 + 
    10952*b316*b609 + 6808*b316*b610 + 1924*b316*b611 + 2960*b316*b612 + 12728*
    b316*b613 + 592*b316*b614 + 11396*b316*b615 + 2220*b316*b616 + 13172*b316*
    b617 + 7104*b316*b618 + 2072*b316*b619 + 13172*b316*b620 + 6512*b316*b621
     + 8732*b316*b622 + 12136*b316*b623 + 468*b316*b624 + 312*b316*b625 + 4602*
    b316*b626 + 4316*b317*b333 + 11786*b317*b334 + 5810*b317*b335 + 6806*b317*
    b336 + 15106*b317*b337 + 9296*b317*b338 + 3652*b317*b340 + 9462*b317*b341
     + 10458*b317*b342 + 996*b317*b343 + 10292*b317*b345 + 6806*b317*b346 + 
    10292*b317*b347 + 4150*b317*b348 + 12450*b317*b349 + 12616*b317*b350 + 6640
    *b317*b351 + 10956*b317*b352 + 9628*b317*b353 + 4980*b317*b354 + 4264*b317*
    b355 + 11644*b317*b356 + 5740*b317*b357 + 6724*b317*b358 + 14924*b317*b359
     + 9184*b317*b360 + 3608*b317*b362 + 9348*b317*b363 + 10332*b317*b364 + 984
    *b317*b365 + 10168*b317*b367 + 6724*b317*b368 + 10168*b317*b369 + 4100*b317
    *b370 + 12300*b317*b371 + 12464*b317*b372 + 6560*b317*b373 + 10824*b317*
    b374 + 9512*b317*b375 + 4920*b317*b376 + 1404*b317*b377 + 3834*b317*b378 + 
    1890*b317*b379 + 2214*b317*b380 + 4914*b317*b381 + 3024*b317*b382 + 1188*
    b317*b384 + 3078*b317*b385 + 3402*b317*b386 + 324*b317*b387 + 3348*b317*
    b389 + 2214*b317*b390 + 3348*b317*b391 + 1350*b317*b392 + 4050*b317*b393 + 
    4104*b317*b394 + 2160*b317*b395 + 3564*b317*b396 + 3132*b317*b397 + 1620*
    b317*b398 + 2548*b317*b399 + 6958*b317*b400 + 3430*b317*b401 + 4018*b317*
    b402 + 8918*b317*b403 + 5488*b317*b404 + 2156*b317*b406 + 5586*b317*b407 + 
    6174*b317*b408 + 588*b317*b409 + 6076*b317*b411 + 4018*b317*b412 + 6076*
    b317*b413 + 2450*b317*b414 + 7350*b317*b415 + 7448*b317*b416 + 3920*b317*
    b417 + 6468*b317*b418 + 5684*b317*b419 + 2940*b317*b420 + 780*b317*b421 + 
    2130*b317*b422 + 1050*b317*b423 + 1230*b317*b424 + 2730*b317*b425 + 1680*
    b317*b426 + 660*b317*b428 + 1710*b317*b429 + 1890*b317*b430 + 180*b317*b431
     + 1860*b317*b433 + 1230*b317*b434 + 1860*b317*b435 + 750*b317*b436 + 2250*
    b317*b437 + 2280*b317*b438 + 1200*b317*b439 + 1980*b317*b440 + 1740*b317*
    b441 + 900*b317*b442 + 1768*b317*b443 + 4828*b317*b444 + 2380*b317*b445 + 
    2788*b317*b446 + 6188*b317*b447 + 3808*b317*b448 + 1496*b317*b450 + 3876*
    b317*b451 + 4284*b317*b452 + 408*b317*b453 + 4216*b317*b455 + 2788*b317*
    b456 + 4216*b317*b457 + 1700*b317*b458 + 5100*b317*b459 + 5168*b317*b460 + 
    2720*b317*b461 + 4488*b317*b462 + 3944*b317*b463 + 2040*b317*b464 + 2600*
    b317*b465 + 7100*b317*b466 + 3500*b317*b467 + 4100*b317*b468 + 9100*b317*
    b469 + 5600*b317*b470 + 2200*b317*b472 + 5700*b317*b473 + 6300*b317*b474 + 
    600*b317*b475 + 6200*b317*b477 + 4100*b317*b478 + 6200*b317*b479 + 2500*
    b317*b480 + 7500*b317*b481 + 7600*b317*b482 + 4000*b317*b483 + 6600*b317*
    b484 + 5800*b317*b485 + 3000*b317*b486 + 2184*b317*b487 + 5964*b317*b488 + 
    2940*b317*b489 + 3444*b317*b490 + 7644*b317*b491 + 4704*b317*b492 + 1848*
    b317*b494 + 4788*b317*b495 + 5292*b317*b496 + 504*b317*b497 + 5208*b317*
    b499 + 3444*b317*b500 + 5208*b317*b501 + 2100*b317*b502 + 6300*b317*b503 + 
    6384*b317*b504 + 3360*b317*b505 + 5544*b317*b506 + 4872*b317*b507 + 2520*
    b317*b508 + 1352*b317*b509 + 3692*b317*b510 + 1820*b317*b511 + 2132*b317*
    b512 + 4732*b317*b513 + 2912*b317*b514 + 1144*b317*b516 + 2964*b317*b517 + 
    3276*b317*b518 + 312*b317*b519 + 3224*b317*b521 + 2132*b317*b522 + 3224*
    b317*b523 + 1300*b317*b524 + 3900*b317*b525 + 3952*b317*b526 + 2080*b317*
    b527 + 3432*b317*b528 + 3016*b317*b529 + 1560*b317*b530 + 2750*b317*b531 + 
    5060*b317*b532 + 7480*b317*b533 + 1950*b317*b534 + 3588*b317*b535 + 5304*
    b317*b536 + 2450*b317*b537 + 4508*b317*b538 + 6664*b317*b539 + 4800*b317*
    b540 + 8832*b317*b541 + 13056*b317*b542 + 1400*b317*b543 + 2576*b317*b544
     + 3808*b317*b545 + 3350*b317*b546 + 6164*b317*b547 + 9112*b317*b548 + 600*
    b317*b549 + 1104*b317*b550 + 1632*b317*b551 + 750*b317*b552 + 1380*b317*
    b553 + 2040*b317*b554 + 3400*b317*b555 + 6256*b317*b556 + 9248*b317*b557 + 
    1400*b317*b558 + 2576*b317*b559 + 3808*b317*b560 + 500*b317*b561 + 920*b317
    *b562 + 1360*b317*b563 + 2900*b317*b564 + 5336*b317*b565 + 7888*b317*b566
     + 2150*b317*b567 + 3956*b317*b568 + 5848*b317*b569 + 4150*b317*b573 + 7636
    *b317*b574 + 11288*b317*b575 + 4100*b317*b576 + 7544*b317*b577 + 11152*b317
    *b578 + 1350*b317*b579 + 2484*b317*b580 + 3672*b317*b581 + 2450*b317*b582
     + 4508*b317*b583 + 6664*b317*b584 + 750*b317*b585 + 1380*b317*b586 + 2040*
    b317*b587 + 1700*b317*b588 + 3128*b317*b589 + 4624*b317*b590 + 2500*b317*
    b591 + 4600*b317*b592 + 6800*b317*b593 + 2100*b317*b594 + 3864*b317*b595 + 
    5712*b317*b596 + 1300*b317*b597 + 2392*b317*b598 + 3536*b317*b599 + 10508*
    b317*b600 + 5180*b317*b601 + 6068*b317*b602 + 13468*b317*b603 + 8288*b317*
    b604 + 3256*b317*b606 + 8436*b317*b607 + 9324*b317*b608 + 888*b317*b609 + 
    9176*b317*b611 + 6068*b317*b612 + 9176*b317*b613 + 6808*b317*b614 + 3700*
    b317*b615 + 11100*b317*b616 + 11248*b317*b617 + 5920*b317*b618 + 9768*b317*
    b619 + 8584*b317*b620 + 4440*b317*b621 + 10064*b317*b622 + 3848*b317*b623
     + 1950*b317*b624 + 3588*b317*b625 + 5304*b317*b626 + 11454*b318*b333 + 
    1328*b318*b334 + 1826*b318*b335 + 2490*b318*b336 + 2158*b318*b337 + 332*
    b318*b338 + 3652*b318*b339 + 12948*b318*b341 + 15106*b318*b342 + 2158*b318*
    b343 + 9794*b318*b344 + 8134*b318*b345 + 14110*b318*b346 + 13944*b318*b347
     + 6308*b318*b348 + 6806*b318*b349 + 9296*b318*b350 + 6474*b318*b351 + 8798
    *b318*b352 + 12782*b318*b353 + 8300*b318*b354 + 11316*b318*b355 + 1312*b318
    *b356 + 1804*b318*b357 + 2460*b318*b358 + 2132*b318*b359 + 328*b318*b360 + 
    3608*b318*b361 + 12792*b318*b363 + 14924*b318*b364 + 2132*b318*b365 + 9676*
    b318*b366 + 8036*b318*b367 + 13940*b318*b368 + 13776*b318*b369 + 6232*b318*
    b370 + 6724*b318*b371 + 9184*b318*b372 + 6396*b318*b373 + 8692*b318*b374 + 
    12628*b318*b375 + 8200*b318*b376 + 3726*b318*b377 + 432*b318*b378 + 594*
    b318*b379 + 810*b318*b380 + 702*b318*b381 + 108*b318*b382 + 1188*b318*b383
     + 4212*b318*b385 + 4914*b318*b386 + 702*b318*b387 + 3186*b318*b388 + 2646*
    b318*b389 + 4590*b318*b390 + 4536*b318*b391 + 2052*b318*b392 + 2214*b318*
    b393 + 3024*b318*b394 + 2106*b318*b395 + 2862*b318*b396 + 4158*b318*b397 + 
    2700*b318*b398 + 6762*b318*b399 + 784*b318*b400 + 1078*b318*b401 + 1470*
    b318*b402 + 1274*b318*b403 + 196*b318*b404 + 2156*b318*b405 + 7644*b318*
    b407 + 8918*b318*b408 + 1274*b318*b409 + 5782*b318*b410 + 4802*b318*b411 + 
    8330*b318*b412 + 8232*b318*b413 + 3724*b318*b414 + 4018*b318*b415 + 5488*
    b318*b416 + 3822*b318*b417 + 5194*b318*b418 + 7546*b318*b419 + 4900*b318*
    b420 + 2070*b318*b421 + 240*b318*b422 + 330*b318*b423 + 450*b318*b424 + 390
    *b318*b425 + 60*b318*b426 + 660*b318*b427 + 2340*b318*b429 + 2730*b318*b430
     + 390*b318*b431 + 1770*b318*b432 + 1470*b318*b433 + 2550*b318*b434 + 2520*
    b318*b435 + 1140*b318*b436 + 1230*b318*b437 + 1680*b318*b438 + 1170*b318*
    b439 + 1590*b318*b440 + 2310*b318*b441 + 1500*b318*b442 + 4692*b318*b443 + 
    544*b318*b444 + 748*b318*b445 + 1020*b318*b446 + 884*b318*b447 + 136*b318*
    b448 + 1496*b318*b449 + 5304*b318*b451 + 6188*b318*b452 + 884*b318*b453 + 
    4012*b318*b454 + 3332*b318*b455 + 5780*b318*b456 + 5712*b318*b457 + 2584*
    b318*b458 + 2788*b318*b459 + 3808*b318*b460 + 2652*b318*b461 + 3604*b318*
    b462 + 5236*b318*b463 + 3400*b318*b464 + 6900*b318*b465 + 800*b318*b466 + 
    1100*b318*b467 + 1500*b318*b468 + 1300*b318*b469 + 200*b318*b470 + 2200*
    b318*b471 + 7800*b318*b473 + 9100*b318*b474 + 1300*b318*b475 + 5900*b318*
    b476 + 4900*b318*b477 + 8500*b318*b478 + 8400*b318*b479 + 3800*b318*b480 + 
    4100*b318*b481 + 5600*b318*b482 + 3900*b318*b483 + 5300*b318*b484 + 7700*
    b318*b485 + 5000*b318*b486 + 5796*b318*b487 + 672*b318*b488 + 924*b318*b489
     + 1260*b318*b490 + 1092*b318*b491 + 168*b318*b492 + 1848*b318*b493 + 6552*
    b318*b495 + 7644*b318*b496 + 1092*b318*b497 + 4956*b318*b498 + 4116*b318*
    b499 + 7140*b318*b500 + 7056*b318*b501 + 3192*b318*b502 + 3444*b318*b503 + 
    4704*b318*b504 + 3276*b318*b505 + 4452*b318*b506 + 6468*b318*b507 + 4200*
    b318*b508 + 3588*b318*b509 + 416*b318*b510 + 572*b318*b511 + 780*b318*b512
     + 676*b318*b513 + 104*b318*b514 + 1144*b318*b515 + 4056*b318*b517 + 4732*
    b318*b518 + 676*b318*b519 + 3068*b318*b520 + 2548*b318*b521 + 4420*b318*
    b522 + 4368*b318*b523 + 1976*b318*b524 + 2132*b318*b525 + 2912*b318*b526 + 
    2028*b318*b527 + 2756*b318*b528 + 4004*b318*b529 + 2600*b318*b530 + 1100*
    b318*b531 + 880*b318*b532 + 3300*b318*b533 + 780*b318*b534 + 624*b318*b535
     + 2340*b318*b536 + 980*b318*b537 + 784*b318*b538 + 2940*b318*b539 + 1920*
    b318*b540 + 1536*b318*b541 + 5760*b318*b542 + 560*b318*b543 + 448*b318*b544
     + 1680*b318*b545 + 1340*b318*b546 + 1072*b318*b547 + 4020*b318*b548 + 240*
    b318*b549 + 192*b318*b550 + 720*b318*b551 + 300*b318*b552 + 240*b318*b553
     + 900*b318*b554 + 1360*b318*b555 + 1088*b318*b556 + 4080*b318*b557 + 560*
    b318*b558 + 448*b318*b559 + 1680*b318*b560 + 200*b318*b561 + 160*b318*b562
     + 600*b318*b563 + 1160*b318*b564 + 928*b318*b565 + 3480*b318*b566 + 860*
    b318*b567 + 688*b318*b568 + 2580*b318*b569 + 1660*b318*b573 + 1328*b318*
    b574 + 4980*b318*b575 + 1640*b318*b576 + 1312*b318*b577 + 4920*b318*b578 + 
    540*b318*b579 + 432*b318*b580 + 1620*b318*b581 + 980*b318*b582 + 784*b318*
    b583 + 2940*b318*b584 + 300*b318*b585 + 240*b318*b586 + 900*b318*b587 + 680
    *b318*b588 + 544*b318*b589 + 2040*b318*b590 + 1000*b318*b591 + 800*b318*
    b592 + 3000*b318*b593 + 840*b318*b594 + 672*b318*b595 + 2520*b318*b596 + 
    520*b318*b597 + 416*b318*b598 + 1560*b318*b599 + 1184*b318*b600 + 1628*b318
    *b601 + 2220*b318*b602 + 1924*b318*b603 + 296*b318*b604 + 3256*b318*b605 + 
    11544*b318*b607 + 13468*b318*b608 + 1924*b318*b609 + 8732*b318*b610 + 7252*
    b318*b611 + 12580*b318*b612 + 12432*b318*b613 + 1184*b318*b614 + 5624*b318*
    b615 + 6068*b318*b616 + 8288*b318*b617 + 5772*b318*b618 + 7844*b318*b619 + 
    11396*b318*b620 + 7400*b318*b621 + 4440*b318*b622 + 10212*b318*b623 + 780*
    b318*b624 + 624*b318*b625 + 2340*b318*b626 + 9296*b319*b333 + 12782*b319*
    b334 + 3320*b319*b335 + 13778*b319*b336 + 4814*b319*b337 + 9960*b319*b338
     + 9462*b319*b339 + 12948*b319*b340 + 9628*b319*b342 + 9130*b319*b343 + 
    3154*b319*b344 + 14110*b319*b345 + 8632*b319*b346 + 5644*b319*b347 + 6640*
    b319*b348 + 11454*b319*b349 + 1992*b319*b350 + 14110*b319*b351 + 11952*b319
    *b352 + 1162*b319*b353 + 8134*b319*b354 + 9184*b319*b355 + 12628*b319*b356
     + 3280*b319*b357 + 13612*b319*b358 + 4756*b319*b359 + 9840*b319*b360 + 
    9348*b319*b361 + 12792*b319*b362 + 9512*b319*b364 + 9020*b319*b365 + 3116*
    b319*b366 + 13940*b319*b367 + 8528*b319*b368 + 5576*b319*b369 + 6560*b319*
    b370 + 11316*b319*b371 + 1968*b319*b372 + 13940*b319*b373 + 11808*b319*b374
     + 1148*b319*b375 + 8036*b319*b376 + 3024*b319*b377 + 4158*b319*b378 + 1080
    *b319*b379 + 4482*b319*b380 + 1566*b319*b381 + 3240*b319*b382 + 3078*b319*
    b383 + 4212*b319*b384 + 3132*b319*b386 + 2970*b319*b387 + 1026*b319*b388 + 
    4590*b319*b389 + 2808*b319*b390 + 1836*b319*b391 + 2160*b319*b392 + 3726*
    b319*b393 + 648*b319*b394 + 4590*b319*b395 + 3888*b319*b396 + 378*b319*b397
     + 2646*b319*b398 + 5488*b319*b399 + 7546*b319*b400 + 1960*b319*b401 + 8134
    *b319*b402 + 2842*b319*b403 + 5880*b319*b404 + 5586*b319*b405 + 7644*b319*
    b406 + 5684*b319*b408 + 5390*b319*b409 + 1862*b319*b410 + 8330*b319*b411 + 
    5096*b319*b412 + 3332*b319*b413 + 3920*b319*b414 + 6762*b319*b415 + 1176*
    b319*b416 + 8330*b319*b417 + 7056*b319*b418 + 686*b319*b419 + 4802*b319*
    b420 + 1680*b319*b421 + 2310*b319*b422 + 600*b319*b423 + 2490*b319*b424 + 
    870*b319*b425 + 1800*b319*b426 + 1710*b319*b427 + 2340*b319*b428 + 1740*
    b319*b430 + 1650*b319*b431 + 570*b319*b432 + 2550*b319*b433 + 1560*b319*
    b434 + 1020*b319*b435 + 1200*b319*b436 + 2070*b319*b437 + 360*b319*b438 + 
    2550*b319*b439 + 2160*b319*b440 + 210*b319*b441 + 1470*b319*b442 + 3808*
    b319*b443 + 5236*b319*b444 + 1360*b319*b445 + 5644*b319*b446 + 1972*b319*
    b447 + 4080*b319*b448 + 3876*b319*b449 + 5304*b319*b450 + 3944*b319*b452 + 
    3740*b319*b453 + 1292*b319*b454 + 5780*b319*b455 + 3536*b319*b456 + 2312*
    b319*b457 + 2720*b319*b458 + 4692*b319*b459 + 816*b319*b460 + 5780*b319*
    b461 + 4896*b319*b462 + 476*b319*b463 + 3332*b319*b464 + 5600*b319*b465 + 
    7700*b319*b466 + 2000*b319*b467 + 8300*b319*b468 + 2900*b319*b469 + 6000*
    b319*b470 + 5700*b319*b471 + 7800*b319*b472 + 5800*b319*b474 + 5500*b319*
    b475 + 1900*b319*b476 + 8500*b319*b477 + 5200*b319*b478 + 3400*b319*b479 + 
    4000*b319*b480 + 6900*b319*b481 + 1200*b319*b482 + 8500*b319*b483 + 7200*
    b319*b484 + 700*b319*b485 + 4900*b319*b486 + 4704*b319*b487 + 6468*b319*
    b488 + 1680*b319*b489 + 6972*b319*b490 + 2436*b319*b491 + 5040*b319*b492 + 
    4788*b319*b493 + 6552*b319*b494 + 4872*b319*b496 + 4620*b319*b497 + 1596*
    b319*b498 + 7140*b319*b499 + 4368*b319*b500 + 2856*b319*b501 + 3360*b319*
    b502 + 5796*b319*b503 + 1008*b319*b504 + 7140*b319*b505 + 6048*b319*b506 + 
    588*b319*b507 + 4116*b319*b508 + 2912*b319*b509 + 4004*b319*b510 + 1040*
    b319*b511 + 4316*b319*b512 + 1508*b319*b513 + 3120*b319*b514 + 2964*b319*
    b515 + 4056*b319*b516 + 3016*b319*b518 + 2860*b319*b519 + 988*b319*b520 + 
    4420*b319*b521 + 2704*b319*b522 + 1768*b319*b523 + 2080*b319*b524 + 3588*
    b319*b525 + 624*b319*b526 + 4420*b319*b527 + 3744*b319*b528 + 364*b319*b529
     + 2548*b319*b530 + 440*b319*b531 + 5830*b319*b532 + 5060*b319*b533 + 312*
    b319*b534 + 4134*b319*b535 + 3588*b319*b536 + 392*b319*b537 + 5194*b319*
    b538 + 4508*b319*b539 + 768*b319*b540 + 10176*b319*b541 + 8832*b319*b542 + 
    224*b319*b543 + 2968*b319*b544 + 2576*b319*b545 + 536*b319*b546 + 7102*b319
    *b547 + 6164*b319*b548 + 96*b319*b549 + 1272*b319*b550 + 1104*b319*b551 + 
    120*b319*b552 + 1590*b319*b553 + 1380*b319*b554 + 544*b319*b555 + 7208*b319
    *b556 + 6256*b319*b557 + 224*b319*b558 + 2968*b319*b559 + 2576*b319*b560 + 
    80*b319*b561 + 1060*b319*b562 + 920*b319*b563 + 464*b319*b564 + 6148*b319*
    b565 + 5336*b319*b566 + 344*b319*b567 + 4558*b319*b568 + 3956*b319*b569 + 
    664*b319*b573 + 8798*b319*b574 + 7636*b319*b575 + 656*b319*b576 + 8692*b319
    *b577 + 7544*b319*b578 + 216*b319*b579 + 2862*b319*b580 + 2484*b319*b581 + 
    392*b319*b582 + 5194*b319*b583 + 4508*b319*b584 + 120*b319*b585 + 1590*b319
    *b586 + 1380*b319*b587 + 272*b319*b588 + 3604*b319*b589 + 3128*b319*b590 + 
    400*b319*b591 + 5300*b319*b592 + 4600*b319*b593 + 336*b319*b594 + 4452*b319
    *b595 + 3864*b319*b596 + 208*b319*b597 + 2756*b319*b598 + 2392*b319*b599 + 
    11396*b319*b600 + 2960*b319*b601 + 12284*b319*b602 + 4292*b319*b603 + 8880*
    b319*b604 + 8436*b319*b605 + 11544*b319*b606 + 8584*b319*b608 + 8140*b319*
    b609 + 2812*b319*b610 + 12580*b319*b611 + 7696*b319*b612 + 5032*b319*b613
     + 7844*b319*b614 + 5920*b319*b615 + 10212*b319*b616 + 1776*b319*b617 + 
    12580*b319*b618 + 10656*b319*b619 + 1036*b319*b620 + 7252*b319*b621 + 6808*
    b319*b622 + 8288*b319*b623 + 312*b319*b624 + 4134*b319*b625 + 3588*b319*
    b626 + 14276*b320*b333 + 12284*b320*b334 + 3486*b320*b335 + 15936*b320*b336
     + 1826*b320*b337 + 11952*b320*b338 + 10458*b320*b339 + 15106*b320*b340 + 
    9628*b320*b341 + 14442*b320*b343 + 9628*b320*b344 + 2822*b320*b345 + 11288*
    b320*b346 + 4482*b320*b347 + 996*b320*b348 + 11122*b320*b349 + 4316*b320*
    b350 + 13612*b320*b351 + 7304*b320*b352 + 5810*b320*b353 + 498*b320*b354 + 
    14104*b320*b355 + 12136*b320*b356 + 3444*b320*b357 + 15744*b320*b358 + 1804
    *b320*b359 + 11808*b320*b360 + 10332*b320*b361 + 14924*b320*b362 + 9512*
    b320*b363 + 14268*b320*b365 + 9512*b320*b366 + 2788*b320*b367 + 11152*b320*
    b368 + 4428*b320*b369 + 984*b320*b370 + 10988*b320*b371 + 4264*b320*b372 + 
    13448*b320*b373 + 7216*b320*b374 + 5740*b320*b375 + 492*b320*b376 + 4644*
    b320*b377 + 3996*b320*b378 + 1134*b320*b379 + 5184*b320*b380 + 594*b320*
    b381 + 3888*b320*b382 + 3402*b320*b383 + 4914*b320*b384 + 3132*b320*b385 + 
    4698*b320*b387 + 3132*b320*b388 + 918*b320*b389 + 3672*b320*b390 + 1458*
    b320*b391 + 324*b320*b392 + 3618*b320*b393 + 1404*b320*b394 + 4428*b320*
    b395 + 2376*b320*b396 + 1890*b320*b397 + 162*b320*b398 + 8428*b320*b399 + 
    7252*b320*b400 + 2058*b320*b401 + 9408*b320*b402 + 1078*b320*b403 + 7056*
    b320*b404 + 6174*b320*b405 + 8918*b320*b406 + 5684*b320*b407 + 8526*b320*
    b409 + 5684*b320*b410 + 1666*b320*b411 + 6664*b320*b412 + 2646*b320*b413 + 
    588*b320*b414 + 6566*b320*b415 + 2548*b320*b416 + 8036*b320*b417 + 4312*
    b320*b418 + 3430*b320*b419 + 294*b320*b420 + 2580*b320*b421 + 2220*b320*
    b422 + 630*b320*b423 + 2880*b320*b424 + 330*b320*b425 + 2160*b320*b426 + 
    1890*b320*b427 + 2730*b320*b428 + 1740*b320*b429 + 2610*b320*b431 + 1740*
    b320*b432 + 510*b320*b433 + 2040*b320*b434 + 810*b320*b435 + 180*b320*b436
     + 2010*b320*b437 + 780*b320*b438 + 2460*b320*b439 + 1320*b320*b440 + 1050*
    b320*b441 + 90*b320*b442 + 5848*b320*b443 + 5032*b320*b444 + 1428*b320*b445
     + 6528*b320*b446 + 748*b320*b447 + 4896*b320*b448 + 4284*b320*b449 + 6188*
    b320*b450 + 3944*b320*b451 + 5916*b320*b453 + 3944*b320*b454 + 1156*b320*
    b455 + 4624*b320*b456 + 1836*b320*b457 + 408*b320*b458 + 4556*b320*b459 + 
    1768*b320*b460 + 5576*b320*b461 + 2992*b320*b462 + 2380*b320*b463 + 204*
    b320*b464 + 8600*b320*b465 + 7400*b320*b466 + 2100*b320*b467 + 9600*b320*
    b468 + 1100*b320*b469 + 7200*b320*b470 + 6300*b320*b471 + 9100*b320*b472 + 
    5800*b320*b473 + 8700*b320*b475 + 5800*b320*b476 + 1700*b320*b477 + 6800*
    b320*b478 + 2700*b320*b479 + 600*b320*b480 + 6700*b320*b481 + 2600*b320*
    b482 + 8200*b320*b483 + 4400*b320*b484 + 3500*b320*b485 + 300*b320*b486 + 
    7224*b320*b487 + 6216*b320*b488 + 1764*b320*b489 + 8064*b320*b490 + 924*
    b320*b491 + 6048*b320*b492 + 5292*b320*b493 + 7644*b320*b494 + 4872*b320*
    b495 + 7308*b320*b497 + 4872*b320*b498 + 1428*b320*b499 + 5712*b320*b500 + 
    2268*b320*b501 + 504*b320*b502 + 5628*b320*b503 + 2184*b320*b504 + 6888*
    b320*b505 + 3696*b320*b506 + 2940*b320*b507 + 252*b320*b508 + 4472*b320*
    b509 + 3848*b320*b510 + 1092*b320*b511 + 4992*b320*b512 + 572*b320*b513 + 
    3744*b320*b514 + 3276*b320*b515 + 4732*b320*b516 + 3016*b320*b517 + 4524*
    b320*b519 + 3016*b320*b520 + 884*b320*b521 + 3536*b320*b522 + 1404*b320*
    b523 + 312*b320*b524 + 3484*b320*b525 + 1352*b320*b526 + 4264*b320*b527 + 
    2288*b320*b528 + 1820*b320*b529 + 156*b320*b530 + 6930*b320*b531 + 2310*
    b320*b532 + 6820*b320*b533 + 4914*b320*b534 + 1638*b320*b535 + 4836*b320*
    b536 + 6174*b320*b537 + 2058*b320*b538 + 6076*b320*b539 + 12096*b320*b540
     + 4032*b320*b541 + 11904*b320*b542 + 3528*b320*b543 + 1176*b320*b544 + 
    3472*b320*b545 + 8442*b320*b546 + 2814*b320*b547 + 8308*b320*b548 + 1512*
    b320*b549 + 504*b320*b550 + 1488*b320*b551 + 1890*b320*b552 + 630*b320*b553
     + 1860*b320*b554 + 8568*b320*b555 + 2856*b320*b556 + 8432*b320*b557 + 3528
    *b320*b558 + 1176*b320*b559 + 3472*b320*b560 + 1260*b320*b561 + 420*b320*
    b562 + 1240*b320*b563 + 7308*b320*b564 + 2436*b320*b565 + 7192*b320*b566 + 
    5418*b320*b567 + 1806*b320*b568 + 5332*b320*b569 + 10458*b320*b573 + 3486*
    b320*b574 + 10292*b320*b575 + 10332*b320*b576 + 3444*b320*b577 + 10168*b320
    *b578 + 3402*b320*b579 + 1134*b320*b580 + 3348*b320*b581 + 6174*b320*b582
     + 2058*b320*b583 + 6076*b320*b584 + 1890*b320*b585 + 630*b320*b586 + 1860*
    b320*b587 + 4284*b320*b588 + 1428*b320*b589 + 4216*b320*b590 + 6300*b320*
    b591 + 2100*b320*b592 + 6200*b320*b593 + 5292*b320*b594 + 1764*b320*b595 + 
    5208*b320*b596 + 3276*b320*b597 + 1092*b320*b598 + 3224*b320*b599 + 10952*
    b320*b600 + 3108*b320*b601 + 14208*b320*b602 + 1628*b320*b603 + 10656*b320*
    b604 + 9324*b320*b605 + 13468*b320*b606 + 8584*b320*b607 + 12876*b320*b609
     + 8584*b320*b610 + 2516*b320*b611 + 10064*b320*b612 + 3996*b320*b613 + 
    3108*b320*b614 + 888*b320*b615 + 9916*b320*b616 + 3848*b320*b617 + 12136*
    b320*b618 + 6512*b320*b619 + 5180*b320*b620 + 444*b320*b621 + 9176*b320*
    b622 + 12728*b320*b623 + 4914*b320*b624 + 1638*b320*b625 + 4836*b320*b626
     + 7470*b321*b333 + 4980*b321*b334 + 10126*b321*b335 + 12284*b321*b336 + 
    12782*b321*b337 + 12284*b321*b338 + 996*b321*b339 + 2158*b321*b340 + 9130*
    b321*b341 + 14442*b321*b342 + 1328*b321*b344 + 8466*b321*b345 + 166*b321*
    b346 + 15106*b321*b347 + 14442*b321*b348 + 11952*b321*b349 + 7470*b321*b350
     + 15936*b321*b351 + 1162*b321*b352 + 14442*b321*b353 + 11288*b321*b354 + 
    7380*b321*b355 + 4920*b321*b356 + 10004*b321*b357 + 12136*b321*b358 + 12628
    *b321*b359 + 12136*b321*b360 + 984*b321*b361 + 2132*b321*b362 + 9020*b321*
    b363 + 14268*b321*b364 + 1312*b321*b366 + 8364*b321*b367 + 164*b321*b368 + 
    14924*b321*b369 + 14268*b321*b370 + 11808*b321*b371 + 7380*b321*b372 + 
    15744*b321*b373 + 1148*b321*b374 + 14268*b321*b375 + 11152*b321*b376 + 2430
    *b321*b377 + 1620*b321*b378 + 3294*b321*b379 + 3996*b321*b380 + 4158*b321*
    b381 + 3996*b321*b382 + 324*b321*b383 + 702*b321*b384 + 2970*b321*b385 + 
    4698*b321*b386 + 432*b321*b388 + 2754*b321*b389 + 54*b321*b390 + 4914*b321*
    b391 + 4698*b321*b392 + 3888*b321*b393 + 2430*b321*b394 + 5184*b321*b395 + 
    378*b321*b396 + 4698*b321*b397 + 3672*b321*b398 + 4410*b321*b399 + 2940*
    b321*b400 + 5978*b321*b401 + 7252*b321*b402 + 7546*b321*b403 + 7252*b321*
    b404 + 588*b321*b405 + 1274*b321*b406 + 5390*b321*b407 + 8526*b321*b408 + 
    784*b321*b410 + 4998*b321*b411 + 98*b321*b412 + 8918*b321*b413 + 8526*b321*
    b414 + 7056*b321*b415 + 4410*b321*b416 + 9408*b321*b417 + 686*b321*b418 + 
    8526*b321*b419 + 6664*b321*b420 + 1350*b321*b421 + 900*b321*b422 + 1830*
    b321*b423 + 2220*b321*b424 + 2310*b321*b425 + 2220*b321*b426 + 180*b321*
    b427 + 390*b321*b428 + 1650*b321*b429 + 2610*b321*b430 + 240*b321*b432 + 
    1530*b321*b433 + 30*b321*b434 + 2730*b321*b435 + 2610*b321*b436 + 2160*b321
    *b437 + 1350*b321*b438 + 2880*b321*b439 + 210*b321*b440 + 2610*b321*b441 + 
    2040*b321*b442 + 3060*b321*b443 + 2040*b321*b444 + 4148*b321*b445 + 5032*
    b321*b446 + 5236*b321*b447 + 5032*b321*b448 + 408*b321*b449 + 884*b321*b450
     + 3740*b321*b451 + 5916*b321*b452 + 544*b321*b454 + 3468*b321*b455 + 68*
    b321*b456 + 6188*b321*b457 + 5916*b321*b458 + 4896*b321*b459 + 3060*b321*
    b460 + 6528*b321*b461 + 476*b321*b462 + 5916*b321*b463 + 4624*b321*b464 + 
    4500*b321*b465 + 3000*b321*b466 + 6100*b321*b467 + 7400*b321*b468 + 7700*
    b321*b469 + 7400*b321*b470 + 600*b321*b471 + 1300*b321*b472 + 5500*b321*
    b473 + 8700*b321*b474 + 800*b321*b476 + 5100*b321*b477 + 100*b321*b478 + 
    9100*b321*b479 + 8700*b321*b480 + 7200*b321*b481 + 4500*b321*b482 + 9600*
    b321*b483 + 700*b321*b484 + 8700*b321*b485 + 6800*b321*b486 + 3780*b321*
    b487 + 2520*b321*b488 + 5124*b321*b489 + 6216*b321*b490 + 6468*b321*b491 + 
    6216*b321*b492 + 504*b321*b493 + 1092*b321*b494 + 4620*b321*b495 + 7308*
    b321*b496 + 672*b321*b498 + 4284*b321*b499 + 84*b321*b500 + 7644*b321*b501
     + 7308*b321*b502 + 6048*b321*b503 + 3780*b321*b504 + 8064*b321*b505 + 588*
    b321*b506 + 7308*b321*b507 + 5712*b321*b508 + 2340*b321*b509 + 1560*b321*
    b510 + 3172*b321*b511 + 3848*b321*b512 + 4004*b321*b513 + 3848*b321*b514 + 
    312*b321*b515 + 676*b321*b516 + 2860*b321*b517 + 4524*b321*b518 + 416*b321*
    b520 + 2652*b321*b521 + 52*b321*b522 + 4732*b321*b523 + 4524*b321*b524 + 
    3744*b321*b525 + 2340*b321*b526 + 4992*b321*b527 + 364*b321*b528 + 4524*
    b321*b529 + 3536*b321*b530 + 660*b321*b531 + 4290*b321*b532 + 3630*b321*
    b533 + 468*b321*b534 + 3042*b321*b535 + 2574*b321*b536 + 588*b321*b537 + 
    3822*b321*b538 + 3234*b321*b539 + 1152*b321*b540 + 7488*b321*b541 + 6336*
    b321*b542 + 336*b321*b543 + 2184*b321*b544 + 1848*b321*b545 + 804*b321*b546
     + 5226*b321*b547 + 4422*b321*b548 + 144*b321*b549 + 936*b321*b550 + 792*
    b321*b551 + 180*b321*b552 + 1170*b321*b553 + 990*b321*b554 + 816*b321*b555
     + 5304*b321*b556 + 4488*b321*b557 + 336*b321*b558 + 2184*b321*b559 + 1848*
    b321*b560 + 120*b321*b561 + 780*b321*b562 + 660*b321*b563 + 696*b321*b564
     + 4524*b321*b565 + 3828*b321*b566 + 516*b321*b567 + 3354*b321*b568 + 2838*
    b321*b569 + 996*b321*b573 + 6474*b321*b574 + 5478*b321*b575 + 984*b321*b576
     + 6396*b321*b577 + 5412*b321*b578 + 324*b321*b579 + 2106*b321*b580 + 1782*
    b321*b581 + 588*b321*b582 + 3822*b321*b583 + 3234*b321*b584 + 180*b321*b585
     + 1170*b321*b586 + 990*b321*b587 + 408*b321*b588 + 2652*b321*b589 + 2244*
    b321*b590 + 600*b321*b591 + 3900*b321*b592 + 3300*b321*b593 + 504*b321*b594
     + 3276*b321*b595 + 2772*b321*b596 + 312*b321*b597 + 2028*b321*b598 + 1716*
    b321*b599 + 4440*b321*b600 + 9028*b321*b601 + 10952*b321*b602 + 11396*b321*
    b603 + 10952*b321*b604 + 888*b321*b605 + 1924*b321*b606 + 8140*b321*b607 + 
    12876*b321*b608 + 1184*b321*b610 + 7548*b321*b611 + 148*b321*b612 + 13468*
    b321*b613 + 5772*b321*b614 + 12876*b321*b615 + 10656*b321*b616 + 6660*b321*
    b617 + 14208*b321*b618 + 1036*b321*b619 + 12876*b321*b620 + 10064*b321*b621
     + 4884*b321*b622 + 6660*b321*b623 + 468*b321*b624 + 3042*b321*b625 + 2574*
    b321*b626 + 15106*b322*b333 + 14774*b322*b334 + 13280*b322*b335 + 7470*b322
    *b336 + 5312*b322*b337 + 7636*b322*b338 + 9794*b322*b340 + 3154*b322*b341
     + 9628*b322*b342 + 1328*b322*b343 + 498*b322*b345 + 3486*b322*b346 + 14940
    *b322*b347 + 7802*b322*b348 + 4150*b322*b349 + 4980*b322*b350 + 7138*b322*
    b351 + 16102*b322*b352 + 5478*b322*b353 + 5810*b322*b354 + 14924*b322*b355
     + 14596*b322*b356 + 13120*b322*b357 + 7380*b322*b358 + 5248*b322*b359 + 
    7544*b322*b360 + 9676*b322*b362 + 3116*b322*b363 + 9512*b322*b364 + 1312*
    b322*b365 + 492*b322*b367 + 3444*b322*b368 + 14760*b322*b369 + 7708*b322*
    b370 + 4100*b322*b371 + 4920*b322*b372 + 7052*b322*b373 + 15908*b322*b374
     + 5412*b322*b375 + 5740*b322*b376 + 4914*b322*b377 + 4806*b322*b378 + 4320
    *b322*b379 + 2430*b322*b380 + 1728*b322*b381 + 2484*b322*b382 + 3186*b322*
    b384 + 1026*b322*b385 + 3132*b322*b386 + 432*b322*b387 + 162*b322*b389 + 
    1134*b322*b390 + 4860*b322*b391 + 2538*b322*b392 + 1350*b322*b393 + 1620*
    b322*b394 + 2322*b322*b395 + 5238*b322*b396 + 1782*b322*b397 + 1890*b322*
    b398 + 8918*b322*b399 + 8722*b322*b400 + 7840*b322*b401 + 4410*b322*b402 + 
    3136*b322*b403 + 4508*b322*b404 + 5782*b322*b406 + 1862*b322*b407 + 5684*
    b322*b408 + 784*b322*b409 + 294*b322*b411 + 2058*b322*b412 + 8820*b322*b413
     + 4606*b322*b414 + 2450*b322*b415 + 2940*b322*b416 + 4214*b322*b417 + 9506
    *b322*b418 + 3234*b322*b419 + 3430*b322*b420 + 2730*b322*b421 + 2670*b322*
    b422 + 2400*b322*b423 + 1350*b322*b424 + 960*b322*b425 + 1380*b322*b426 + 
    1770*b322*b428 + 570*b322*b429 + 1740*b322*b430 + 240*b322*b431 + 90*b322*
    b433 + 630*b322*b434 + 2700*b322*b435 + 1410*b322*b436 + 750*b322*b437 + 
    900*b322*b438 + 1290*b322*b439 + 2910*b322*b440 + 990*b322*b441 + 1050*b322
    *b442 + 6188*b322*b443 + 6052*b322*b444 + 5440*b322*b445 + 3060*b322*b446
     + 2176*b322*b447 + 3128*b322*b448 + 4012*b322*b450 + 1292*b322*b451 + 3944
    *b322*b452 + 544*b322*b453 + 204*b322*b455 + 1428*b322*b456 + 6120*b322*
    b457 + 3196*b322*b458 + 1700*b322*b459 + 2040*b322*b460 + 2924*b322*b461 + 
    6596*b322*b462 + 2244*b322*b463 + 2380*b322*b464 + 9100*b322*b465 + 8900*
    b322*b466 + 8000*b322*b467 + 4500*b322*b468 + 3200*b322*b469 + 4600*b322*
    b470 + 5900*b322*b472 + 1900*b322*b473 + 5800*b322*b474 + 800*b322*b475 + 
    300*b322*b477 + 2100*b322*b478 + 9000*b322*b479 + 4700*b322*b480 + 2500*
    b322*b481 + 3000*b322*b482 + 4300*b322*b483 + 9700*b322*b484 + 3300*b322*
    b485 + 3500*b322*b486 + 7644*b322*b487 + 7476*b322*b488 + 6720*b322*b489 + 
    3780*b322*b490 + 2688*b322*b491 + 3864*b322*b492 + 4956*b322*b494 + 1596*
    b322*b495 + 4872*b322*b496 + 672*b322*b497 + 252*b322*b499 + 1764*b322*b500
     + 7560*b322*b501 + 3948*b322*b502 + 2100*b322*b503 + 2520*b322*b504 + 3612
    *b322*b505 + 8148*b322*b506 + 2772*b322*b507 + 2940*b322*b508 + 4732*b322*
    b509 + 4628*b322*b510 + 4160*b322*b511 + 2340*b322*b512 + 1664*b322*b513 + 
    2392*b322*b514 + 3068*b322*b516 + 988*b322*b517 + 3016*b322*b518 + 416*b322
    *b519 + 156*b322*b521 + 1092*b322*b522 + 4680*b322*b523 + 2444*b322*b524 + 
    1300*b322*b525 + 1560*b322*b526 + 2236*b322*b527 + 5044*b322*b528 + 1716*
    b322*b529 + 1820*b322*b530 + 4840*b322*b531 + 4950*b322*b532 + 6710*b322*
    b533 + 3432*b322*b534 + 3510*b322*b535 + 4758*b322*b536 + 4312*b322*b537 + 
    4410*b322*b538 + 5978*b322*b539 + 8448*b322*b540 + 8640*b322*b541 + 11712*
    b322*b542 + 2464*b322*b543 + 2520*b322*b544 + 3416*b322*b545 + 5896*b322*
    b546 + 6030*b322*b547 + 8174*b322*b548 + 1056*b322*b549 + 1080*b322*b550 + 
    1464*b322*b551 + 1320*b322*b552 + 1350*b322*b553 + 1830*b322*b554 + 5984*
    b322*b555 + 6120*b322*b556 + 8296*b322*b557 + 2464*b322*b558 + 2520*b322*
    b559 + 3416*b322*b560 + 880*b322*b561 + 900*b322*b562 + 1220*b322*b563 + 
    5104*b322*b564 + 5220*b322*b565 + 7076*b322*b566 + 3784*b322*b567 + 3870*
    b322*b568 + 5246*b322*b569 + 7304*b322*b573 + 7470*b322*b574 + 10126*b322*
    b575 + 7216*b322*b576 + 7380*b322*b577 + 10004*b322*b578 + 2376*b322*b579
     + 2430*b322*b580 + 3294*b322*b581 + 4312*b322*b582 + 4410*b322*b583 + 5978
    *b322*b584 + 1320*b322*b585 + 1350*b322*b586 + 1830*b322*b587 + 2992*b322*
    b588 + 3060*b322*b589 + 4148*b322*b590 + 4400*b322*b591 + 4500*b322*b592 + 
    6100*b322*b593 + 3696*b322*b594 + 3780*b322*b595 + 5124*b322*b596 + 2288*
    b322*b597 + 2340*b322*b598 + 3172*b322*b599 + 13172*b322*b600 + 11840*b322*
    b601 + 6660*b322*b602 + 4736*b322*b603 + 6808*b322*b604 + 8732*b322*b606 + 
    2812*b322*b607 + 8584*b322*b608 + 1184*b322*b609 + 444*b322*b611 + 3108*
    b322*b612 + 13320*b322*b613 + 6660*b322*b614 + 6956*b322*b615 + 3700*b322*
    b616 + 4440*b322*b617 + 6364*b322*b618 + 14356*b322*b619 + 4884*b322*b620
     + 5180*b322*b621 + 9028*b322*b622 + 13468*b322*b623 + 3432*b322*b624 + 
    3510*b322*b625 + 4758*b322*b626 + 9794*b323*b333 + 12616*b323*b334 + 9628*
    b323*b335 + 10790*b323*b336 + 14442*b323*b337 + 2158*b323*b338 + 10292*b323
    *b339 + 8134*b323*b340 + 14110*b323*b341 + 2822*b323*b342 + 8466*b323*b343
     + 498*b323*b344 + 6972*b323*b346 + 5976*b323*b347 + 1162*b323*b348 + 13944
    *b323*b349 + 996*b323*b350 + 7968*b323*b353 + 10292*b323*b354 + 9676*b323*
    b355 + 12464*b323*b356 + 9512*b323*b357 + 10660*b323*b358 + 14268*b323*b359
     + 2132*b323*b360 + 10168*b323*b361 + 8036*b323*b362 + 13940*b323*b363 + 
    2788*b323*b364 + 8364*b323*b365 + 492*b323*b366 + 6888*b323*b368 + 5904*
    b323*b369 + 1148*b323*b370 + 13776*b323*b371 + 984*b323*b372 + 7872*b323*
    b375 + 10168*b323*b376 + 3186*b323*b377 + 4104*b323*b378 + 3132*b323*b379
     + 3510*b323*b380 + 4698*b323*b381 + 702*b323*b382 + 3348*b323*b383 + 2646*
    b323*b384 + 4590*b323*b385 + 918*b323*b386 + 2754*b323*b387 + 162*b323*b388
     + 2268*b323*b390 + 1944*b323*b391 + 378*b323*b392 + 4536*b323*b393 + 324*
    b323*b394 + 2592*b323*b397 + 3348*b323*b398 + 5782*b323*b399 + 7448*b323*
    b400 + 5684*b323*b401 + 6370*b323*b402 + 8526*b323*b403 + 1274*b323*b404 + 
    6076*b323*b405 + 4802*b323*b406 + 8330*b323*b407 + 1666*b323*b408 + 4998*
    b323*b409 + 294*b323*b410 + 4116*b323*b412 + 3528*b323*b413 + 686*b323*b414
     + 8232*b323*b415 + 588*b323*b416 + 4704*b323*b419 + 6076*b323*b420 + 1770*
    b323*b421 + 2280*b323*b422 + 1740*b323*b423 + 1950*b323*b424 + 2610*b323*
    b425 + 390*b323*b426 + 1860*b323*b427 + 1470*b323*b428 + 2550*b323*b429 + 
    510*b323*b430 + 1530*b323*b431 + 90*b323*b432 + 1260*b323*b434 + 1080*b323*
    b435 + 210*b323*b436 + 2520*b323*b437 + 180*b323*b438 + 1440*b323*b441 + 
    1860*b323*b442 + 4012*b323*b443 + 5168*b323*b444 + 3944*b323*b445 + 4420*
    b323*b446 + 5916*b323*b447 + 884*b323*b448 + 4216*b323*b449 + 3332*b323*
    b450 + 5780*b323*b451 + 1156*b323*b452 + 3468*b323*b453 + 204*b323*b454 + 
    2856*b323*b456 + 2448*b323*b457 + 476*b323*b458 + 5712*b323*b459 + 408*b323
    *b460 + 3264*b323*b463 + 4216*b323*b464 + 5900*b323*b465 + 7600*b323*b466
     + 5800*b323*b467 + 6500*b323*b468 + 8700*b323*b469 + 1300*b323*b470 + 6200
    *b323*b471 + 4900*b323*b472 + 8500*b323*b473 + 1700*b323*b474 + 5100*b323*
    b475 + 300*b323*b476 + 4200*b323*b478 + 3600*b323*b479 + 700*b323*b480 + 
    8400*b323*b481 + 600*b323*b482 + 4800*b323*b485 + 6200*b323*b486 + 4956*
    b323*b487 + 6384*b323*b488 + 4872*b323*b489 + 5460*b323*b490 + 7308*b323*
    b491 + 1092*b323*b492 + 5208*b323*b493 + 4116*b323*b494 + 7140*b323*b495 + 
    1428*b323*b496 + 4284*b323*b497 + 252*b323*b498 + 3528*b323*b500 + 3024*
    b323*b501 + 588*b323*b502 + 7056*b323*b503 + 504*b323*b504 + 4032*b323*b507
     + 5208*b323*b508 + 3068*b323*b509 + 3952*b323*b510 + 3016*b323*b511 + 3380
    *b323*b512 + 4524*b323*b513 + 676*b323*b514 + 3224*b323*b515 + 2548*b323*
    b516 + 4420*b323*b517 + 884*b323*b518 + 2652*b323*b519 + 156*b323*b520 + 
    2184*b323*b522 + 1872*b323*b523 + 364*b323*b524 + 4368*b323*b525 + 312*b323
    *b526 + 2496*b323*b529 + 3224*b323*b530 + 4400*b323*b531 + 4730*b323*b532
     + 6490*b323*b533 + 3120*b323*b534 + 3354*b323*b535 + 4602*b323*b536 + 3920
    *b323*b537 + 4214*b323*b538 + 5782*b323*b539 + 7680*b323*b540 + 8256*b323*
    b541 + 11328*b323*b542 + 2240*b323*b543 + 2408*b323*b544 + 3304*b323*b545
     + 5360*b323*b546 + 5762*b323*b547 + 7906*b323*b548 + 960*b323*b549 + 1032*
    b323*b550 + 1416*b323*b551 + 1200*b323*b552 + 1290*b323*b553 + 1770*b323*
    b554 + 5440*b323*b555 + 5848*b323*b556 + 8024*b323*b557 + 2240*b323*b558 + 
    2408*b323*b559 + 3304*b323*b560 + 800*b323*b561 + 860*b323*b562 + 1180*b323
    *b563 + 4640*b323*b564 + 4988*b323*b565 + 6844*b323*b566 + 3440*b323*b567
     + 3698*b323*b568 + 5074*b323*b569 + 6640*b323*b573 + 7138*b323*b574 + 9794
    *b323*b575 + 6560*b323*b576 + 7052*b323*b577 + 9676*b323*b578 + 2160*b323*
    b579 + 2322*b323*b580 + 3186*b323*b581 + 3920*b323*b582 + 4214*b323*b583 + 
    5782*b323*b584 + 1200*b323*b585 + 1290*b323*b586 + 1770*b323*b587 + 2720*
    b323*b588 + 2924*b323*b589 + 4012*b323*b590 + 4000*b323*b591 + 4300*b323*
    b592 + 5900*b323*b593 + 3360*b323*b594 + 3612*b323*b595 + 4956*b323*b596 + 
    2080*b323*b597 + 2236*b323*b598 + 3068*b323*b599 + 11248*b323*b600 + 8584*
    b323*b601 + 9620*b323*b602 + 12876*b323*b603 + 1924*b323*b604 + 9176*b323*
    b605 + 7252*b323*b606 + 12580*b323*b607 + 2516*b323*b608 + 7548*b323*b609
     + 444*b323*b610 + 6216*b323*b612 + 5328*b323*b613 + 6364*b323*b614 + 1036*
    b323*b615 + 12432*b323*b616 + 888*b323*b617 + 7104*b323*b620 + 9176*b323*
    b621 + 8732*b323*b622 + 8732*b323*b623 + 3120*b323*b624 + 3354*b323*b625 + 
    4602*b323*b626 + 2988*b324*b333 + 12616*b324*b334 + 3486*b324*b335 + 6640*
    b324*b336 + 11122*b324*b337 + 3320*b324*b338 + 6806*b324*b339 + 14110*b324*
    b340 + 8632*b324*b341 + 11288*b324*b342 + 166*b324*b343 + 3486*b324*b344 + 
    6972*b324*b345 + 4814*b324*b347 + 13612*b324*b348 + 4814*b324*b349 + 498*
    b324*b350 + 498*b324*b351 + 8466*b324*b352 + 11122*b324*b353 + 6474*b324*
    b354 + 2952*b324*b355 + 12464*b324*b356 + 3444*b324*b357 + 6560*b324*b358
     + 10988*b324*b359 + 3280*b324*b360 + 6724*b324*b361 + 13940*b324*b362 + 
    8528*b324*b363 + 11152*b324*b364 + 164*b324*b365 + 3444*b324*b366 + 6888*
    b324*b367 + 4756*b324*b369 + 13448*b324*b370 + 4756*b324*b371 + 492*b324*
    b372 + 492*b324*b373 + 8364*b324*b374 + 10988*b324*b375 + 6396*b324*b376 + 
    972*b324*b377 + 4104*b324*b378 + 1134*b324*b379 + 2160*b324*b380 + 3618*
    b324*b381 + 1080*b324*b382 + 2214*b324*b383 + 4590*b324*b384 + 2808*b324*
    b385 + 3672*b324*b386 + 54*b324*b387 + 1134*b324*b388 + 2268*b324*b389 + 
    1566*b324*b391 + 4428*b324*b392 + 1566*b324*b393 + 162*b324*b394 + 162*b324
    *b395 + 2754*b324*b396 + 3618*b324*b397 + 2106*b324*b398 + 1764*b324*b399
     + 7448*b324*b400 + 2058*b324*b401 + 3920*b324*b402 + 6566*b324*b403 + 1960
    *b324*b404 + 4018*b324*b405 + 8330*b324*b406 + 5096*b324*b407 + 6664*b324*
    b408 + 98*b324*b409 + 2058*b324*b410 + 4116*b324*b411 + 2842*b324*b413 + 
    8036*b324*b414 + 2842*b324*b415 + 294*b324*b416 + 294*b324*b417 + 4998*b324
    *b418 + 6566*b324*b419 + 3822*b324*b420 + 540*b324*b421 + 2280*b324*b422 + 
    630*b324*b423 + 1200*b324*b424 + 2010*b324*b425 + 600*b324*b426 + 1230*b324
    *b427 + 2550*b324*b428 + 1560*b324*b429 + 2040*b324*b430 + 30*b324*b431 + 
    630*b324*b432 + 1260*b324*b433 + 870*b324*b435 + 2460*b324*b436 + 870*b324*
    b437 + 90*b324*b438 + 90*b324*b439 + 1530*b324*b440 + 2010*b324*b441 + 1170
    *b324*b442 + 1224*b324*b443 + 5168*b324*b444 + 1428*b324*b445 + 2720*b324*
    b446 + 4556*b324*b447 + 1360*b324*b448 + 2788*b324*b449 + 5780*b324*b450 + 
    3536*b324*b451 + 4624*b324*b452 + 68*b324*b453 + 1428*b324*b454 + 2856*b324
    *b455 + 1972*b324*b457 + 5576*b324*b458 + 1972*b324*b459 + 204*b324*b460 + 
    204*b324*b461 + 3468*b324*b462 + 4556*b324*b463 + 2652*b324*b464 + 1800*
    b324*b465 + 7600*b324*b466 + 2100*b324*b467 + 4000*b324*b468 + 6700*b324*
    b469 + 2000*b324*b470 + 4100*b324*b471 + 8500*b324*b472 + 5200*b324*b473 + 
    6800*b324*b474 + 100*b324*b475 + 2100*b324*b476 + 4200*b324*b477 + 2900*
    b324*b479 + 8200*b324*b480 + 2900*b324*b481 + 300*b324*b482 + 300*b324*b483
     + 5100*b324*b484 + 6700*b324*b485 + 3900*b324*b486 + 1512*b324*b487 + 6384
    *b324*b488 + 1764*b324*b489 + 3360*b324*b490 + 5628*b324*b491 + 1680*b324*
    b492 + 3444*b324*b493 + 7140*b324*b494 + 4368*b324*b495 + 5712*b324*b496 + 
    84*b324*b497 + 1764*b324*b498 + 3528*b324*b499 + 2436*b324*b501 + 6888*b324
    *b502 + 2436*b324*b503 + 252*b324*b504 + 252*b324*b505 + 4284*b324*b506 + 
    5628*b324*b507 + 3276*b324*b508 + 936*b324*b509 + 3952*b324*b510 + 1092*
    b324*b511 + 2080*b324*b512 + 3484*b324*b513 + 1040*b324*b514 + 2132*b324*
    b515 + 4420*b324*b516 + 2704*b324*b517 + 3536*b324*b518 + 52*b324*b519 + 
    1092*b324*b520 + 2184*b324*b521 + 1508*b324*b523 + 4264*b324*b524 + 1508*
    b324*b525 + 156*b324*b526 + 156*b324*b527 + 2652*b324*b528 + 3484*b324*b529
     + 2028*b324*b530 + 8250*b324*b531 + 10340*b324*b532 + 1650*b324*b533 + 
    5850*b324*b534 + 7332*b324*b535 + 1170*b324*b536 + 7350*b324*b537 + 9212*
    b324*b538 + 1470*b324*b539 + 14400*b324*b540 + 18048*b324*b541 + 2880*b324*
    b542 + 4200*b324*b543 + 5264*b324*b544 + 840*b324*b545 + 10050*b324*b546 + 
    12596*b324*b547 + 2010*b324*b548 + 1800*b324*b549 + 2256*b324*b550 + 360*
    b324*b551 + 2250*b324*b552 + 2820*b324*b553 + 450*b324*b554 + 10200*b324*
    b555 + 12784*b324*b556 + 2040*b324*b557 + 4200*b324*b558 + 5264*b324*b559
     + 840*b324*b560 + 1500*b324*b561 + 1880*b324*b562 + 300*b324*b563 + 8700*
    b324*b564 + 10904*b324*b565 + 1740*b324*b566 + 6450*b324*b567 + 8084*b324*
    b568 + 1290*b324*b569 + 12450*b324*b573 + 15604*b324*b574 + 2490*b324*b575
     + 12300*b324*b576 + 15416*b324*b577 + 2460*b324*b578 + 4050*b324*b579 + 
    5076*b324*b580 + 810*b324*b581 + 7350*b324*b582 + 9212*b324*b583 + 1470*
    b324*b584 + 2250*b324*b585 + 2820*b324*b586 + 450*b324*b587 + 5100*b324*
    b588 + 6392*b324*b589 + 1020*b324*b590 + 7500*b324*b591 + 9400*b324*b592 + 
    1500*b324*b593 + 6300*b324*b594 + 7896*b324*b595 + 1260*b324*b596 + 3900*
    b324*b597 + 4888*b324*b598 + 780*b324*b599 + 11248*b324*b600 + 3108*b324*
    b601 + 5920*b324*b602 + 9916*b324*b603 + 2960*b324*b604 + 6068*b324*b605 + 
    12580*b324*b606 + 7696*b324*b607 + 10064*b324*b608 + 148*b324*b609 + 3108*
    b324*b610 + 6216*b324*b611 + 4292*b324*b613 + 13912*b324*b614 + 12136*b324*
    b615 + 4292*b324*b616 + 444*b324*b617 + 444*b324*b618 + 7548*b324*b619 + 
    9916*b324*b620 + 5772*b324*b621 + 2220*b324*b622 + 2664*b324*b623 + 5850*
    b324*b624 + 7332*b324*b625 + 1170*b324*b626 + 12616*b325*b333 + 6640*b325*
    b334 + 12616*b325*b335 + 8964*b325*b336 + 15604*b325*b337 + 14276*b325*b338
     + 10292*b325*b339 + 13944*b325*b340 + 5644*b325*b341 + 4482*b325*b342 + 
    15106*b325*b343 + 14940*b325*b344 + 5976*b325*b345 + 4814*b325*b346 + 6972*
    b325*b348 + 3818*b325*b349 + 10292*b325*b350 + 10292*b325*b351 + 4648*b325*
    b352 + 12616*b325*b353 + 10956*b325*b354 + 12464*b325*b355 + 6560*b325*b356
     + 12464*b325*b357 + 8856*b325*b358 + 15416*b325*b359 + 14104*b325*b360 + 
    10168*b325*b361 + 13776*b325*b362 + 5576*b325*b363 + 4428*b325*b364 + 14924
    *b325*b365 + 14760*b325*b366 + 5904*b325*b367 + 4756*b325*b368 + 6888*b325*
    b370 + 3772*b325*b371 + 10168*b325*b372 + 10168*b325*b373 + 4592*b325*b374
     + 12464*b325*b375 + 10824*b325*b376 + 4104*b325*b377 + 2160*b325*b378 + 
    4104*b325*b379 + 2916*b325*b380 + 5076*b325*b381 + 4644*b325*b382 + 3348*
    b325*b383 + 4536*b325*b384 + 1836*b325*b385 + 1458*b325*b386 + 4914*b325*
    b387 + 4860*b325*b388 + 1944*b325*b389 + 1566*b325*b390 + 2268*b325*b392 + 
    1242*b325*b393 + 3348*b325*b394 + 3348*b325*b395 + 1512*b325*b396 + 4104*
    b325*b397 + 3564*b325*b398 + 7448*b325*b399 + 3920*b325*b400 + 7448*b325*
    b401 + 5292*b325*b402 + 9212*b325*b403 + 8428*b325*b404 + 6076*b325*b405 + 
    8232*b325*b406 + 3332*b325*b407 + 2646*b325*b408 + 8918*b325*b409 + 8820*
    b325*b410 + 3528*b325*b411 + 2842*b325*b412 + 4116*b325*b414 + 2254*b325*
    b415 + 6076*b325*b416 + 6076*b325*b417 + 2744*b325*b418 + 7448*b325*b419 + 
    6468*b325*b420 + 2280*b325*b421 + 1200*b325*b422 + 2280*b325*b423 + 1620*
    b325*b424 + 2820*b325*b425 + 2580*b325*b426 + 1860*b325*b427 + 2520*b325*
    b428 + 1020*b325*b429 + 810*b325*b430 + 2730*b325*b431 + 2700*b325*b432 + 
    1080*b325*b433 + 870*b325*b434 + 1260*b325*b436 + 690*b325*b437 + 1860*b325
    *b438 + 1860*b325*b439 + 840*b325*b440 + 2280*b325*b441 + 1980*b325*b442 + 
    5168*b325*b443 + 2720*b325*b444 + 5168*b325*b445 + 3672*b325*b446 + 6392*
    b325*b447 + 5848*b325*b448 + 4216*b325*b449 + 5712*b325*b450 + 2312*b325*
    b451 + 1836*b325*b452 + 6188*b325*b453 + 6120*b325*b454 + 2448*b325*b455 + 
    1972*b325*b456 + 2856*b325*b458 + 1564*b325*b459 + 4216*b325*b460 + 4216*
    b325*b461 + 1904*b325*b462 + 5168*b325*b463 + 4488*b325*b464 + 7600*b325*
    b465 + 4000*b325*b466 + 7600*b325*b467 + 5400*b325*b468 + 9400*b325*b469 + 
    8600*b325*b470 + 6200*b325*b471 + 8400*b325*b472 + 3400*b325*b473 + 2700*
    b325*b474 + 9100*b325*b475 + 9000*b325*b476 + 3600*b325*b477 + 2900*b325*
    b478 + 4200*b325*b480 + 2300*b325*b481 + 6200*b325*b482 + 6200*b325*b483 + 
    2800*b325*b484 + 7600*b325*b485 + 6600*b325*b486 + 6384*b325*b487 + 3360*
    b325*b488 + 6384*b325*b489 + 4536*b325*b490 + 7896*b325*b491 + 7224*b325*
    b492 + 5208*b325*b493 + 7056*b325*b494 + 2856*b325*b495 + 2268*b325*b496 + 
    7644*b325*b497 + 7560*b325*b498 + 3024*b325*b499 + 2436*b325*b500 + 3528*
    b325*b502 + 1932*b325*b503 + 5208*b325*b504 + 5208*b325*b505 + 2352*b325*
    b506 + 6384*b325*b507 + 5544*b325*b508 + 3952*b325*b509 + 2080*b325*b510 + 
    3952*b325*b511 + 2808*b325*b512 + 4888*b325*b513 + 4472*b325*b514 + 3224*
    b325*b515 + 4368*b325*b516 + 1768*b325*b517 + 1404*b325*b518 + 4732*b325*
    b519 + 4680*b325*b520 + 1872*b325*b521 + 1508*b325*b522 + 2184*b325*b524 + 
    1196*b325*b525 + 3224*b325*b526 + 3224*b325*b527 + 1456*b325*b528 + 3952*
    b325*b529 + 3432*b325*b530 + 8690*b325*b531 + 7260*b325*b532 + 9020*b325*
    b533 + 6162*b325*b534 + 5148*b325*b535 + 6396*b325*b536 + 7742*b325*b537 + 
    6468*b325*b538 + 8036*b325*b539 + 15168*b325*b540 + 12672*b325*b541 + 15744
    *b325*b542 + 4424*b325*b543 + 3696*b325*b544 + 4592*b325*b545 + 10586*b325*
    b546 + 8844*b325*b547 + 10988*b325*b548 + 1896*b325*b549 + 1584*b325*b550
     + 1968*b325*b551 + 2370*b325*b552 + 1980*b325*b553 + 2460*b325*b554 + 
    10744*b325*b555 + 8976*b325*b556 + 11152*b325*b557 + 4424*b325*b558 + 3696*
    b325*b559 + 4592*b325*b560 + 1580*b325*b561 + 1320*b325*b562 + 1640*b325*
    b563 + 9164*b325*b564 + 7656*b325*b565 + 9512*b325*b566 + 6794*b325*b567 + 
    5676*b325*b568 + 7052*b325*b569 + 13114*b325*b573 + 10956*b325*b574 + 13612
    *b325*b575 + 12956*b325*b576 + 10824*b325*b577 + 13448*b325*b578 + 4266*
    b325*b579 + 3564*b325*b580 + 4428*b325*b581 + 7742*b325*b582 + 6468*b325*
    b583 + 8036*b325*b584 + 2370*b325*b585 + 1980*b325*b586 + 2460*b325*b587 + 
    5372*b325*b588 + 4488*b325*b589 + 5576*b325*b590 + 7900*b325*b591 + 6600*
    b325*b592 + 8200*b325*b593 + 6636*b325*b594 + 5544*b325*b595 + 6888*b325*
    b596 + 4108*b325*b597 + 3432*b325*b598 + 4264*b325*b599 + 5920*b325*b600 + 
    11248*b325*b601 + 7992*b325*b602 + 13912*b325*b603 + 12728*b325*b604 + 9176
    *b325*b605 + 12432*b325*b606 + 5032*b325*b607 + 3996*b325*b608 + 13468*b325
    *b609 + 13320*b325*b610 + 5328*b325*b611 + 4292*b325*b612 + 9768*b325*b614
     + 6216*b325*b615 + 3404*b325*b616 + 9176*b325*b617 + 9176*b325*b618 + 4144
    *b325*b619 + 11248*b325*b620 + 9768*b325*b621 + 12136*b325*b622 + 11248*
    b325*b623 + 6162*b325*b624 + 5148*b325*b625 + 6396*b325*b626 + 2988*b326*
    b333 + 9296*b326*b334 + 7304*b326*b335 + 2324*b326*b336 + 332*b326*b337 + 
    12782*b326*b338 + 4150*b326*b339 + 6308*b326*b340 + 6640*b326*b341 + 996*
    b326*b342 + 14442*b326*b343 + 7802*b326*b344 + 1162*b326*b345 + 13612*b326*
    b346 + 6972*b326*b347 + 14276*b326*b349 + 9960*b326*b350 + 10292*b326*b351
     + 10292*b326*b352 + 13778*b326*b353 + 15106*b326*b354 + 2952*b326*b355 + 
    9184*b326*b356 + 7216*b326*b357 + 2296*b326*b358 + 328*b326*b359 + 12628*
    b326*b360 + 4100*b326*b361 + 6232*b326*b362 + 6560*b326*b363 + 984*b326*
    b364 + 14268*b326*b365 + 7708*b326*b366 + 1148*b326*b367 + 13448*b326*b368
     + 6888*b326*b369 + 14104*b326*b371 + 9840*b326*b372 + 10168*b326*b373 + 
    10168*b326*b374 + 13612*b326*b375 + 14924*b326*b376 + 972*b326*b377 + 3024*
    b326*b378 + 2376*b326*b379 + 756*b326*b380 + 108*b326*b381 + 4158*b326*b382
     + 1350*b326*b383 + 2052*b326*b384 + 2160*b326*b385 + 324*b326*b386 + 4698*
    b326*b387 + 2538*b326*b388 + 378*b326*b389 + 4428*b326*b390 + 2268*b326*
    b391 + 4644*b326*b393 + 3240*b326*b394 + 3348*b326*b395 + 3348*b326*b396 + 
    4482*b326*b397 + 4914*b326*b398 + 1764*b326*b399 + 5488*b326*b400 + 4312*
    b326*b401 + 1372*b326*b402 + 196*b326*b403 + 7546*b326*b404 + 2450*b326*
    b405 + 3724*b326*b406 + 3920*b326*b407 + 588*b326*b408 + 8526*b326*b409 + 
    4606*b326*b410 + 686*b326*b411 + 8036*b326*b412 + 4116*b326*b413 + 8428*
    b326*b415 + 5880*b326*b416 + 6076*b326*b417 + 6076*b326*b418 + 8134*b326*
    b419 + 8918*b326*b420 + 540*b326*b421 + 1680*b326*b422 + 1320*b326*b423 + 
    420*b326*b424 + 60*b326*b425 + 2310*b326*b426 + 750*b326*b427 + 1140*b326*
    b428 + 1200*b326*b429 + 180*b326*b430 + 2610*b326*b431 + 1410*b326*b432 + 
    210*b326*b433 + 2460*b326*b434 + 1260*b326*b435 + 2580*b326*b437 + 1800*
    b326*b438 + 1860*b326*b439 + 1860*b326*b440 + 2490*b326*b441 + 2730*b326*
    b442 + 1224*b326*b443 + 3808*b326*b444 + 2992*b326*b445 + 952*b326*b446 + 
    136*b326*b447 + 5236*b326*b448 + 1700*b326*b449 + 2584*b326*b450 + 2720*
    b326*b451 + 408*b326*b452 + 5916*b326*b453 + 3196*b326*b454 + 476*b326*b455
     + 5576*b326*b456 + 2856*b326*b457 + 5848*b326*b459 + 4080*b326*b460 + 4216
    *b326*b461 + 4216*b326*b462 + 5644*b326*b463 + 6188*b326*b464 + 1800*b326*
    b465 + 5600*b326*b466 + 4400*b326*b467 + 1400*b326*b468 + 200*b326*b469 + 
    7700*b326*b470 + 2500*b326*b471 + 3800*b326*b472 + 4000*b326*b473 + 600*
    b326*b474 + 8700*b326*b475 + 4700*b326*b476 + 700*b326*b477 + 8200*b326*
    b478 + 4200*b326*b479 + 8600*b326*b481 + 6000*b326*b482 + 6200*b326*b483 + 
    6200*b326*b484 + 8300*b326*b485 + 9100*b326*b486 + 1512*b326*b487 + 4704*
    b326*b488 + 3696*b326*b489 + 1176*b326*b490 + 168*b326*b491 + 6468*b326*
    b492 + 2100*b326*b493 + 3192*b326*b494 + 3360*b326*b495 + 504*b326*b496 + 
    7308*b326*b497 + 3948*b326*b498 + 588*b326*b499 + 6888*b326*b500 + 3528*
    b326*b501 + 7224*b326*b503 + 5040*b326*b504 + 5208*b326*b505 + 5208*b326*
    b506 + 6972*b326*b507 + 7644*b326*b508 + 936*b326*b509 + 2912*b326*b510 + 
    2288*b326*b511 + 728*b326*b512 + 104*b326*b513 + 4004*b326*b514 + 1300*b326
    *b515 + 1976*b326*b516 + 2080*b326*b517 + 312*b326*b518 + 4524*b326*b519 + 
    2444*b326*b520 + 364*b326*b521 + 4264*b326*b522 + 2184*b326*b523 + 4472*
    b326*b525 + 3120*b326*b526 + 3224*b326*b527 + 3224*b326*b528 + 4316*b326*
    b529 + 4732*b326*b530 + 9790*b326*b531 + 10780*b326*b532 + 6270*b326*b533
     + 6942*b326*b534 + 7644*b326*b535 + 4446*b326*b536 + 8722*b326*b537 + 9604
    *b326*b538 + 5586*b326*b539 + 17088*b326*b540 + 18816*b326*b541 + 10944*
    b326*b542 + 4984*b326*b543 + 5488*b326*b544 + 3192*b326*b545 + 11926*b326*
    b546 + 13132*b326*b547 + 7638*b326*b548 + 2136*b326*b549 + 2352*b326*b550
     + 1368*b326*b551 + 2670*b326*b552 + 2940*b326*b553 + 1710*b326*b554 + 
    12104*b326*b555 + 13328*b326*b556 + 7752*b326*b557 + 4984*b326*b558 + 5488*
    b326*b559 + 3192*b326*b560 + 1780*b326*b561 + 1960*b326*b562 + 1140*b326*
    b563 + 10324*b326*b564 + 11368*b326*b565 + 6612*b326*b566 + 7654*b326*b567
     + 8428*b326*b568 + 4902*b326*b569 + 14774*b326*b573 + 16268*b326*b574 + 
    9462*b326*b575 + 14596*b326*b576 + 16072*b326*b577 + 9348*b326*b578 + 4806*
    b326*b579 + 5292*b326*b580 + 3078*b326*b581 + 8722*b326*b582 + 9604*b326*
    b583 + 5586*b326*b584 + 2670*b326*b585 + 2940*b326*b586 + 1710*b326*b587 + 
    6052*b326*b588 + 6664*b326*b589 + 3876*b326*b590 + 8900*b326*b591 + 9800*
    b326*b592 + 5700*b326*b593 + 7476*b326*b594 + 8232*b326*b595 + 4788*b326*
    b596 + 4628*b326*b597 + 5096*b326*b598 + 2964*b326*b599 + 8288*b326*b600 + 
    6512*b326*b601 + 2072*b326*b602 + 296*b326*b603 + 11396*b326*b604 + 3700*
    b326*b605 + 5624*b326*b606 + 5920*b326*b607 + 888*b326*b608 + 12876*b326*
    b609 + 6956*b326*b610 + 1036*b326*b611 + 12136*b326*b612 + 6216*b326*b613
     + 14504*b326*b614 + 12728*b326*b616 + 8880*b326*b617 + 9176*b326*b618 + 
    9176*b326*b619 + 12284*b326*b620 + 13468*b326*b621 + 8436*b326*b622 + 2664*
    b326*b623 + 6942*b326*b624 + 7644*b326*b625 + 4446*b326*b626 + 9462*b327*
    b333 + 166*b327*b334 + 14110*b327*b335 + 11786*b327*b336 + 1660*b327*b337
     + 2490*b327*b338 + 12450*b327*b339 + 6806*b327*b340 + 11454*b327*b341 + 
    11122*b327*b342 + 11952*b327*b343 + 4150*b327*b344 + 13944*b327*b345 + 4814
    *b327*b346 + 3818*b327*b347 + 14276*b327*b348 + 10292*b327*b350 + 5976*b327
    *b351 + 332*b327*b352 + 332*b327*b353 + 7138*b327*b354 + 9348*b327*b355 + 
    164*b327*b356 + 13940*b327*b357 + 11644*b327*b358 + 1640*b327*b359 + 2460*
    b327*b360 + 12300*b327*b361 + 6724*b327*b362 + 11316*b327*b363 + 10988*b327
    *b364 + 11808*b327*b365 + 4100*b327*b366 + 13776*b327*b367 + 4756*b327*b368
     + 3772*b327*b369 + 14104*b327*b370 + 10168*b327*b372 + 5904*b327*b373 + 
    328*b327*b374 + 328*b327*b375 + 7052*b327*b376 + 3078*b327*b377 + 54*b327*
    b378 + 4590*b327*b379 + 3834*b327*b380 + 540*b327*b381 + 810*b327*b382 + 
    4050*b327*b383 + 2214*b327*b384 + 3726*b327*b385 + 3618*b327*b386 + 3888*
    b327*b387 + 1350*b327*b388 + 4536*b327*b389 + 1566*b327*b390 + 1242*b327*
    b391 + 4644*b327*b392 + 3348*b327*b394 + 1944*b327*b395 + 108*b327*b396 + 
    108*b327*b397 + 2322*b327*b398 + 5586*b327*b399 + 98*b327*b400 + 8330*b327*
    b401 + 6958*b327*b402 + 980*b327*b403 + 1470*b327*b404 + 7350*b327*b405 + 
    4018*b327*b406 + 6762*b327*b407 + 6566*b327*b408 + 7056*b327*b409 + 2450*
    b327*b410 + 8232*b327*b411 + 2842*b327*b412 + 2254*b327*b413 + 8428*b327*
    b414 + 6076*b327*b416 + 3528*b327*b417 + 196*b327*b418 + 196*b327*b419 + 
    4214*b327*b420 + 1710*b327*b421 + 30*b327*b422 + 2550*b327*b423 + 2130*b327
    *b424 + 300*b327*b425 + 450*b327*b426 + 2250*b327*b427 + 1230*b327*b428 + 
    2070*b327*b429 + 2010*b327*b430 + 2160*b327*b431 + 750*b327*b432 + 2520*
    b327*b433 + 870*b327*b434 + 690*b327*b435 + 2580*b327*b436 + 1860*b327*b438
     + 1080*b327*b439 + 60*b327*b440 + 60*b327*b441 + 1290*b327*b442 + 3876*
    b327*b443 + 68*b327*b444 + 5780*b327*b445 + 4828*b327*b446 + 680*b327*b447
     + 1020*b327*b448 + 5100*b327*b449 + 2788*b327*b450 + 4692*b327*b451 + 4556
    *b327*b452 + 4896*b327*b453 + 1700*b327*b454 + 5712*b327*b455 + 1972*b327*
    b456 + 1564*b327*b457 + 5848*b327*b458 + 4216*b327*b460 + 2448*b327*b461 + 
    136*b327*b462 + 136*b327*b463 + 2924*b327*b464 + 5700*b327*b465 + 100*b327*
    b466 + 8500*b327*b467 + 7100*b327*b468 + 1000*b327*b469 + 1500*b327*b470 + 
    7500*b327*b471 + 4100*b327*b472 + 6900*b327*b473 + 6700*b327*b474 + 7200*
    b327*b475 + 2500*b327*b476 + 8400*b327*b477 + 2900*b327*b478 + 2300*b327*
    b479 + 8600*b327*b480 + 6200*b327*b482 + 3600*b327*b483 + 200*b327*b484 + 
    200*b327*b485 + 4300*b327*b486 + 4788*b327*b487 + 84*b327*b488 + 7140*b327*
    b489 + 5964*b327*b490 + 840*b327*b491 + 1260*b327*b492 + 6300*b327*b493 + 
    3444*b327*b494 + 5796*b327*b495 + 5628*b327*b496 + 6048*b327*b497 + 2100*
    b327*b498 + 7056*b327*b499 + 2436*b327*b500 + 1932*b327*b501 + 7224*b327*
    b502 + 5208*b327*b504 + 3024*b327*b505 + 168*b327*b506 + 168*b327*b507 + 
    3612*b327*b508 + 2964*b327*b509 + 52*b327*b510 + 4420*b327*b511 + 3692*b327
    *b512 + 520*b327*b513 + 780*b327*b514 + 3900*b327*b515 + 2132*b327*b516 + 
    3588*b327*b517 + 3484*b327*b518 + 3744*b327*b519 + 1300*b327*b520 + 4368*
    b327*b521 + 1508*b327*b522 + 1196*b327*b523 + 4472*b327*b524 + 3224*b327*
    b526 + 1872*b327*b527 + 104*b327*b528 + 104*b327*b529 + 2236*b327*b530 + 
    3850*b327*b531 + 3850*b327*b532 + 7150*b327*b533 + 2730*b327*b534 + 2730*
    b327*b535 + 5070*b327*b536 + 3430*b327*b537 + 3430*b327*b538 + 6370*b327*
    b539 + 6720*b327*b540 + 6720*b327*b541 + 12480*b327*b542 + 1960*b327*b543
     + 1960*b327*b544 + 3640*b327*b545 + 4690*b327*b546 + 4690*b327*b547 + 8710
    *b327*b548 + 840*b327*b549 + 840*b327*b550 + 1560*b327*b551 + 1050*b327*
    b552 + 1050*b327*b553 + 1950*b327*b554 + 4760*b327*b555 + 4760*b327*b556 + 
    8840*b327*b557 + 1960*b327*b558 + 1960*b327*b559 + 3640*b327*b560 + 700*
    b327*b561 + 700*b327*b562 + 1300*b327*b563 + 4060*b327*b564 + 4060*b327*
    b565 + 7540*b327*b566 + 3010*b327*b567 + 3010*b327*b568 + 5590*b327*b569 + 
    5810*b327*b573 + 5810*b327*b574 + 10790*b327*b575 + 5740*b327*b576 + 5740*
    b327*b577 + 10660*b327*b578 + 1890*b327*b579 + 1890*b327*b580 + 3510*b327*
    b581 + 3430*b327*b582 + 3430*b327*b583 + 6370*b327*b584 + 1050*b327*b585 + 
    1050*b327*b586 + 1950*b327*b587 + 2380*b327*b588 + 2380*b327*b589 + 4420*
    b327*b590 + 3500*b327*b591 + 3500*b327*b592 + 6500*b327*b593 + 2940*b327*
    b594 + 2940*b327*b595 + 5460*b327*b596 + 1820*b327*b597 + 1820*b327*b598 + 
    3380*b327*b599 + 148*b327*b600 + 12580*b327*b601 + 10508*b327*b602 + 1480*
    b327*b603 + 2220*b327*b604 + 11100*b327*b605 + 6068*b327*b606 + 10212*b327*
    b607 + 9916*b327*b608 + 10656*b327*b609 + 3700*b327*b610 + 12432*b327*b611
     + 4292*b327*b612 + 3404*b327*b613 + 5180*b327*b614 + 12728*b327*b615 + 
    9176*b327*b617 + 5328*b327*b618 + 296*b327*b619 + 296*b327*b620 + 6364*b327
    *b621 + 9620*b327*b622 + 8436*b327*b623 + 2730*b327*b624 + 2730*b327*b625
     + 5070*b327*b626 + 5976*b328*b333 + 8300*b328*b334 + 15604*b328*b335 + 
    12782*b328*b336 + 16434*b328*b337 + 14774*b328*b338 + 12616*b328*b339 + 
    9296*b328*b340 + 1992*b328*b341 + 4316*b328*b342 + 7470*b328*b343 + 4980*
    b328*b344 + 996*b328*b345 + 498*b328*b346 + 10292*b328*b347 + 9960*b328*
    b348 + 10292*b328*b349 + 6142*b328*b351 + 8134*b328*b352 + 10126*b328*b353
     + 830*b328*b354 + 5904*b328*b355 + 8200*b328*b356 + 15416*b328*b357 + 
    12628*b328*b358 + 16236*b328*b359 + 14596*b328*b360 + 12464*b328*b361 + 
    9184*b328*b362 + 1968*b328*b363 + 4264*b328*b364 + 7380*b328*b365 + 4920*
    b328*b366 + 984*b328*b367 + 492*b328*b368 + 10168*b328*b369 + 9840*b328*
    b370 + 10168*b328*b371 + 6068*b328*b373 + 8036*b328*b374 + 10004*b328*b375
     + 820*b328*b376 + 1944*b328*b377 + 2700*b328*b378 + 5076*b328*b379 + 4158*
    b328*b380 + 5346*b328*b381 + 4806*b328*b382 + 4104*b328*b383 + 3024*b328*
    b384 + 648*b328*b385 + 1404*b328*b386 + 2430*b328*b387 + 1620*b328*b388 + 
    324*b328*b389 + 162*b328*b390 + 3348*b328*b391 + 3240*b328*b392 + 3348*b328
    *b393 + 1998*b328*b395 + 2646*b328*b396 + 3294*b328*b397 + 270*b328*b398 + 
    3528*b328*b399 + 4900*b328*b400 + 9212*b328*b401 + 7546*b328*b402 + 9702*
    b328*b403 + 8722*b328*b404 + 7448*b328*b405 + 5488*b328*b406 + 1176*b328*
    b407 + 2548*b328*b408 + 4410*b328*b409 + 2940*b328*b410 + 588*b328*b411 + 
    294*b328*b412 + 6076*b328*b413 + 5880*b328*b414 + 6076*b328*b415 + 3626*
    b328*b417 + 4802*b328*b418 + 5978*b328*b419 + 490*b328*b420 + 1080*b328*
    b421 + 1500*b328*b422 + 2820*b328*b423 + 2310*b328*b424 + 2970*b328*b425 + 
    2670*b328*b426 + 2280*b328*b427 + 1680*b328*b428 + 360*b328*b429 + 780*b328
    *b430 + 1350*b328*b431 + 900*b328*b432 + 180*b328*b433 + 90*b328*b434 + 
    1860*b328*b435 + 1800*b328*b436 + 1860*b328*b437 + 1110*b328*b439 + 1470*
    b328*b440 + 1830*b328*b441 + 150*b328*b442 + 2448*b328*b443 + 3400*b328*
    b444 + 6392*b328*b445 + 5236*b328*b446 + 6732*b328*b447 + 6052*b328*b448 + 
    5168*b328*b449 + 3808*b328*b450 + 816*b328*b451 + 1768*b328*b452 + 3060*
    b328*b453 + 2040*b328*b454 + 408*b328*b455 + 204*b328*b456 + 4216*b328*b457
     + 4080*b328*b458 + 4216*b328*b459 + 2516*b328*b461 + 3332*b328*b462 + 4148
    *b328*b463 + 340*b328*b464 + 3600*b328*b465 + 5000*b328*b466 + 9400*b328*
    b467 + 7700*b328*b468 + 9900*b328*b469 + 8900*b328*b470 + 7600*b328*b471 + 
    5600*b328*b472 + 1200*b328*b473 + 2600*b328*b474 + 4500*b328*b475 + 3000*
    b328*b476 + 600*b328*b477 + 300*b328*b478 + 6200*b328*b479 + 6000*b328*b480
     + 6200*b328*b481 + 3700*b328*b483 + 4900*b328*b484 + 6100*b328*b485 + 500*
    b328*b486 + 3024*b328*b487 + 4200*b328*b488 + 7896*b328*b489 + 6468*b328*
    b490 + 8316*b328*b491 + 7476*b328*b492 + 6384*b328*b493 + 4704*b328*b494 + 
    1008*b328*b495 + 2184*b328*b496 + 3780*b328*b497 + 2520*b328*b498 + 504*
    b328*b499 + 252*b328*b500 + 5208*b328*b501 + 5040*b328*b502 + 5208*b328*
    b503 + 3108*b328*b505 + 4116*b328*b506 + 5124*b328*b507 + 420*b328*b508 + 
    1872*b328*b509 + 2600*b328*b510 + 4888*b328*b511 + 4004*b328*b512 + 5148*
    b328*b513 + 4628*b328*b514 + 3952*b328*b515 + 2912*b328*b516 + 624*b328*
    b517 + 1352*b328*b518 + 2340*b328*b519 + 1560*b328*b520 + 312*b328*b521 + 
    156*b328*b522 + 3224*b328*b523 + 3120*b328*b524 + 3224*b328*b525 + 1924*
    b328*b527 + 2548*b328*b528 + 3172*b328*b529 + 260*b328*b530 + 990*b328*b531
     + 1650*b328*b532 + 3740*b328*b533 + 702*b328*b534 + 1170*b328*b535 + 2652*
    b328*b536 + 882*b328*b537 + 1470*b328*b538 + 3332*b328*b539 + 1728*b328*
    b540 + 2880*b328*b541 + 6528*b328*b542 + 504*b328*b543 + 840*b328*b544 + 
    1904*b328*b545 + 1206*b328*b546 + 2010*b328*b547 + 4556*b328*b548 + 216*
    b328*b549 + 360*b328*b550 + 816*b328*b551 + 270*b328*b552 + 450*b328*b553
     + 1020*b328*b554 + 1224*b328*b555 + 2040*b328*b556 + 4624*b328*b557 + 504*
    b328*b558 + 840*b328*b559 + 1904*b328*b560 + 180*b328*b561 + 300*b328*b562
     + 680*b328*b563 + 1044*b328*b564 + 1740*b328*b565 + 3944*b328*b566 + 774*
    b328*b567 + 1290*b328*b568 + 2924*b328*b569 + 1494*b328*b573 + 2490*b328*
    b574 + 5644*b328*b575 + 1476*b328*b576 + 2460*b328*b577 + 5576*b328*b578 + 
    486*b328*b579 + 810*b328*b580 + 1836*b328*b581 + 882*b328*b582 + 1470*b328*
    b583 + 3332*b328*b584 + 270*b328*b585 + 450*b328*b586 + 1020*b328*b587 + 
    612*b328*b588 + 1020*b328*b589 + 2312*b328*b590 + 900*b328*b591 + 1500*b328
    *b592 + 3400*b328*b593 + 756*b328*b594 + 1260*b328*b595 + 2856*b328*b596 + 
    468*b328*b597 + 780*b328*b598 + 1768*b328*b599 + 7400*b328*b600 + 13912*
    b328*b601 + 11396*b328*b602 + 14652*b328*b603 + 13172*b328*b604 + 11248*
    b328*b605 + 8288*b328*b606 + 1776*b328*b607 + 3848*b328*b608 + 6660*b328*
    b609 + 4440*b328*b610 + 888*b328*b611 + 444*b328*b612 + 9176*b328*b613 + 
    2220*b328*b614 + 8880*b328*b615 + 9176*b328*b616 + 5476*b328*b618 + 7252*
    b328*b619 + 9028*b328*b620 + 740*b328*b621 + 5032*b328*b622 + 5328*b328*
    b623 + 702*b328*b624 + 1170*b328*b625 + 2652*b328*b626 + 10126*b329*b333 + 
    664*b329*b334 + 14940*b329*b335 + 5976*b329*b336 + 9296*b329*b337 + 7968*
    b329*b338 + 6640*b329*b339 + 6474*b329*b340 + 14110*b329*b341 + 13612*b329*
    b342 + 15936*b329*b343 + 7138*b329*b344 + 498*b329*b346 + 10292*b329*b347
     + 10292*b329*b348 + 5976*b329*b349 + 6142*b329*b350 + 8798*b329*b352 + 
    15936*b329*b353 + 13612*b329*b354 + 10004*b329*b355 + 656*b329*b356 + 14760
    *b329*b357 + 5904*b329*b358 + 9184*b329*b359 + 7872*b329*b360 + 6560*b329*
    b361 + 6396*b329*b362 + 13940*b329*b363 + 13448*b329*b364 + 15744*b329*b365
     + 7052*b329*b366 + 492*b329*b368 + 10168*b329*b369 + 10168*b329*b370 + 
    5904*b329*b371 + 6068*b329*b372 + 8692*b329*b374 + 15744*b329*b375 + 13448*
    b329*b376 + 3294*b329*b377 + 216*b329*b378 + 4860*b329*b379 + 1944*b329*
    b380 + 3024*b329*b381 + 2592*b329*b382 + 2160*b329*b383 + 2106*b329*b384 + 
    4590*b329*b385 + 4428*b329*b386 + 5184*b329*b387 + 2322*b329*b388 + 162*
    b329*b390 + 3348*b329*b391 + 3348*b329*b392 + 1944*b329*b393 + 1998*b329*
    b394 + 2862*b329*b396 + 5184*b329*b397 + 4428*b329*b398 + 5978*b329*b399 + 
    392*b329*b400 + 8820*b329*b401 + 3528*b329*b402 + 5488*b329*b403 + 4704*
    b329*b404 + 3920*b329*b405 + 3822*b329*b406 + 8330*b329*b407 + 8036*b329*
    b408 + 9408*b329*b409 + 4214*b329*b410 + 294*b329*b412 + 6076*b329*b413 + 
    6076*b329*b414 + 3528*b329*b415 + 3626*b329*b416 + 5194*b329*b418 + 9408*
    b329*b419 + 8036*b329*b420 + 1830*b329*b421 + 120*b329*b422 + 2700*b329*
    b423 + 1080*b329*b424 + 1680*b329*b425 + 1440*b329*b426 + 1200*b329*b427 + 
    1170*b329*b428 + 2550*b329*b429 + 2460*b329*b430 + 2880*b329*b431 + 1290*
    b329*b432 + 90*b329*b434 + 1860*b329*b435 + 1860*b329*b436 + 1080*b329*b437
     + 1110*b329*b438 + 1590*b329*b440 + 2880*b329*b441 + 2460*b329*b442 + 4148
    *b329*b443 + 272*b329*b444 + 6120*b329*b445 + 2448*b329*b446 + 3808*b329*
    b447 + 3264*b329*b448 + 2720*b329*b449 + 2652*b329*b450 + 5780*b329*b451 + 
    5576*b329*b452 + 6528*b329*b453 + 2924*b329*b454 + 204*b329*b456 + 4216*
    b329*b457 + 4216*b329*b458 + 2448*b329*b459 + 2516*b329*b460 + 3604*b329*
    b462 + 6528*b329*b463 + 5576*b329*b464 + 6100*b329*b465 + 400*b329*b466 + 
    9000*b329*b467 + 3600*b329*b468 + 5600*b329*b469 + 4800*b329*b470 + 4000*
    b329*b471 + 3900*b329*b472 + 8500*b329*b473 + 8200*b329*b474 + 9600*b329*
    b475 + 4300*b329*b476 + 300*b329*b478 + 6200*b329*b479 + 6200*b329*b480 + 
    3600*b329*b481 + 3700*b329*b482 + 5300*b329*b484 + 9600*b329*b485 + 8200*
    b329*b486 + 5124*b329*b487 + 336*b329*b488 + 7560*b329*b489 + 3024*b329*
    b490 + 4704*b329*b491 + 4032*b329*b492 + 3360*b329*b493 + 3276*b329*b494 + 
    7140*b329*b495 + 6888*b329*b496 + 8064*b329*b497 + 3612*b329*b498 + 252*
    b329*b500 + 5208*b329*b501 + 5208*b329*b502 + 3024*b329*b503 + 3108*b329*
    b504 + 4452*b329*b506 + 8064*b329*b507 + 6888*b329*b508 + 3172*b329*b509 + 
    208*b329*b510 + 4680*b329*b511 + 1872*b329*b512 + 2912*b329*b513 + 2496*
    b329*b514 + 2080*b329*b515 + 2028*b329*b516 + 4420*b329*b517 + 4264*b329*
    b518 + 4992*b329*b519 + 2236*b329*b520 + 156*b329*b522 + 3224*b329*b523 + 
    3224*b329*b524 + 1872*b329*b525 + 1924*b329*b526 + 2756*b329*b528 + 4992*
    b329*b529 + 4264*b329*b530 + 110*b329*b531 + 1870*b329*b532 + 5280*b329*
    b533 + 78*b329*b534 + 1326*b329*b535 + 3744*b329*b536 + 98*b329*b537 + 1666
    *b329*b538 + 4704*b329*b539 + 192*b329*b540 + 3264*b329*b541 + 9216*b329*
    b542 + 56*b329*b543 + 952*b329*b544 + 2688*b329*b545 + 134*b329*b546 + 2278
    *b329*b547 + 6432*b329*b548 + 24*b329*b549 + 408*b329*b550 + 1152*b329*b551
     + 30*b329*b552 + 510*b329*b553 + 1440*b329*b554 + 136*b329*b555 + 2312*
    b329*b556 + 6528*b329*b557 + 56*b329*b558 + 952*b329*b559 + 2688*b329*b560
     + 20*b329*b561 + 340*b329*b562 + 960*b329*b563 + 116*b329*b564 + 1972*b329
    *b565 + 5568*b329*b566 + 86*b329*b567 + 1462*b329*b568 + 4128*b329*b569 + 
    166*b329*b573 + 2822*b329*b574 + 7968*b329*b575 + 164*b329*b576 + 2788*b329
    *b577 + 7872*b329*b578 + 54*b329*b579 + 918*b329*b580 + 2592*b329*b581 + 98
    *b329*b582 + 1666*b329*b583 + 4704*b329*b584 + 30*b329*b585 + 510*b329*b586
     + 1440*b329*b587 + 68*b329*b588 + 1156*b329*b589 + 3264*b329*b590 + 100*
    b329*b591 + 1700*b329*b592 + 4800*b329*b593 + 84*b329*b594 + 1428*b329*b595
     + 4032*b329*b596 + 52*b329*b597 + 884*b329*b598 + 2496*b329*b599 + 592*
    b329*b600 + 13320*b329*b601 + 5328*b329*b602 + 8288*b329*b603 + 7104*b329*
    b604 + 5920*b329*b605 + 5772*b329*b606 + 12580*b329*b607 + 12136*b329*b608
     + 14208*b329*b609 + 6364*b329*b610 + 444*b329*b612 + 9176*b329*b613 + 2516
    *b329*b614 + 9176*b329*b615 + 5328*b329*b616 + 5476*b329*b617 + 7844*b329*
    b619 + 14208*b329*b620 + 12136*b329*b621 + 7104*b329*b622 + 9028*b329*b623
     + 78*b329*b624 + 1326*b329*b625 + 3744*b329*b626 + 5976*b330*b333 + 5976*
    b330*b334 + 8466*b330*b335 + 8798*b330*b336 + 11620*b330*b337 + 2324*b330*
    b338 + 10956*b330*b339 + 8798*b330*b340 + 11952*b330*b341 + 7304*b330*b342
     + 1162*b330*b343 + 16102*b330*b344 + 8466*b330*b346 + 4648*b330*b347 + 
    10292*b330*b348 + 332*b330*b349 + 8134*b330*b350 + 8798*b330*b351 + 4648*
    b330*b353 + 5146*b330*b354 + 5904*b330*b355 + 5904*b330*b356 + 8364*b330*
    b357 + 8692*b330*b358 + 11480*b330*b359 + 2296*b330*b360 + 10824*b330*b361
     + 8692*b330*b362 + 11808*b330*b363 + 7216*b330*b364 + 1148*b330*b365 + 
    15908*b330*b366 + 8364*b330*b368 + 4592*b330*b369 + 10168*b330*b370 + 328*
    b330*b371 + 8036*b330*b372 + 8692*b330*b373 + 4592*b330*b375 + 5084*b330*
    b376 + 1944*b330*b377 + 1944*b330*b378 + 2754*b330*b379 + 2862*b330*b380 + 
    3780*b330*b381 + 756*b330*b382 + 3564*b330*b383 + 2862*b330*b384 + 3888*
    b330*b385 + 2376*b330*b386 + 378*b330*b387 + 5238*b330*b388 + 2754*b330*
    b390 + 1512*b330*b391 + 3348*b330*b392 + 108*b330*b393 + 2646*b330*b394 + 
    2862*b330*b395 + 1512*b330*b397 + 1674*b330*b398 + 3528*b330*b399 + 3528*
    b330*b400 + 4998*b330*b401 + 5194*b330*b402 + 6860*b330*b403 + 1372*b330*
    b404 + 6468*b330*b405 + 5194*b330*b406 + 7056*b330*b407 + 4312*b330*b408 + 
    686*b330*b409 + 9506*b330*b410 + 4998*b330*b412 + 2744*b330*b413 + 6076*
    b330*b414 + 196*b330*b415 + 4802*b330*b416 + 5194*b330*b417 + 2744*b330*
    b419 + 3038*b330*b420 + 1080*b330*b421 + 1080*b330*b422 + 1530*b330*b423 + 
    1590*b330*b424 + 2100*b330*b425 + 420*b330*b426 + 1980*b330*b427 + 1590*
    b330*b428 + 2160*b330*b429 + 1320*b330*b430 + 210*b330*b431 + 2910*b330*
    b432 + 1530*b330*b434 + 840*b330*b435 + 1860*b330*b436 + 60*b330*b437 + 
    1470*b330*b438 + 1590*b330*b439 + 840*b330*b441 + 930*b330*b442 + 2448*b330
    *b443 + 2448*b330*b444 + 3468*b330*b445 + 3604*b330*b446 + 4760*b330*b447
     + 952*b330*b448 + 4488*b330*b449 + 3604*b330*b450 + 4896*b330*b451 + 2992*
    b330*b452 + 476*b330*b453 + 6596*b330*b454 + 3468*b330*b456 + 1904*b330*
    b457 + 4216*b330*b458 + 136*b330*b459 + 3332*b330*b460 + 3604*b330*b461 + 
    1904*b330*b463 + 2108*b330*b464 + 3600*b330*b465 + 3600*b330*b466 + 5100*
    b330*b467 + 5300*b330*b468 + 7000*b330*b469 + 1400*b330*b470 + 6600*b330*
    b471 + 5300*b330*b472 + 7200*b330*b473 + 4400*b330*b474 + 700*b330*b475 + 
    9700*b330*b476 + 5100*b330*b478 + 2800*b330*b479 + 6200*b330*b480 + 200*
    b330*b481 + 4900*b330*b482 + 5300*b330*b483 + 2800*b330*b485 + 3100*b330*
    b486 + 3024*b330*b487 + 3024*b330*b488 + 4284*b330*b489 + 4452*b330*b490 + 
    5880*b330*b491 + 1176*b330*b492 + 5544*b330*b493 + 4452*b330*b494 + 6048*
    b330*b495 + 3696*b330*b496 + 588*b330*b497 + 8148*b330*b498 + 4284*b330*
    b500 + 2352*b330*b501 + 5208*b330*b502 + 168*b330*b503 + 4116*b330*b504 + 
    4452*b330*b505 + 2352*b330*b507 + 2604*b330*b508 + 1872*b330*b509 + 1872*
    b330*b510 + 2652*b330*b511 + 2756*b330*b512 + 3640*b330*b513 + 728*b330*
    b514 + 3432*b330*b515 + 2756*b330*b516 + 3744*b330*b517 + 2288*b330*b518 + 
    364*b330*b519 + 5044*b330*b520 + 2652*b330*b522 + 1456*b330*b523 + 3224*
    b330*b524 + 104*b330*b525 + 2548*b330*b526 + 2756*b330*b527 + 1456*b330*
    b529 + 1612*b330*b530 + 9350*b330*b531 + 8470*b330*b532 + 8250*b330*b533 + 
    6630*b330*b534 + 6006*b330*b535 + 5850*b330*b536 + 8330*b330*b537 + 7546*
    b330*b538 + 7350*b330*b539 + 16320*b330*b540 + 14784*b330*b541 + 14400*b330
    *b542 + 4760*b330*b543 + 4312*b330*b544 + 4200*b330*b545 + 11390*b330*b546
     + 10318*b330*b547 + 10050*b330*b548 + 2040*b330*b549 + 1848*b330*b550 + 
    1800*b330*b551 + 2550*b330*b552 + 2310*b330*b553 + 2250*b330*b554 + 11560*
    b330*b555 + 10472*b330*b556 + 10200*b330*b557 + 4760*b330*b558 + 4312*b330*
    b559 + 4200*b330*b560 + 1700*b330*b561 + 1540*b330*b562 + 1500*b330*b563 + 
    9860*b330*b564 + 8932*b330*b565 + 8700*b330*b566 + 7310*b330*b567 + 6622*
    b330*b568 + 6450*b330*b569 + 14110*b330*b573 + 12782*b330*b574 + 12450*b330
    *b575 + 13940*b330*b576 + 12628*b330*b577 + 12300*b330*b578 + 4590*b330*
    b579 + 4158*b330*b580 + 4050*b330*b581 + 8330*b330*b582 + 7546*b330*b583 + 
    7350*b330*b584 + 2550*b330*b585 + 2310*b330*b586 + 2250*b330*b587 + 5780*
    b330*b588 + 5236*b330*b589 + 5100*b330*b590 + 8500*b330*b591 + 7700*b330*
    b592 + 7500*b330*b593 + 7140*b330*b594 + 6468*b330*b595 + 6300*b330*b596 + 
    4420*b330*b597 + 4004*b330*b598 + 3900*b330*b599 + 5328*b330*b600 + 7548*
    b330*b601 + 7844*b330*b602 + 10360*b330*b603 + 2072*b330*b604 + 9768*b330*
    b605 + 7844*b330*b606 + 10656*b330*b607 + 6512*b330*b608 + 1036*b330*b609
     + 14356*b330*b610 + 7548*b330*b612 + 4144*b330*b613 + 11396*b330*b614 + 
    9176*b330*b615 + 296*b330*b616 + 7252*b330*b617 + 7844*b330*b618 + 4144*
    b330*b620 + 4588*b330*b621 + 11100*b330*b622 + 5328*b330*b623 + 6630*b330*
    b624 + 6006*b330*b625 + 5850*b330*b626 + 3486*b331*b333 + 4482*b331*b334 + 
    498*b331*b335 + 6142*b331*b336 + 16434*b331*b337 + 14774*b331*b338 + 9628*
    b331*b339 + 12782*b331*b340 + 1162*b331*b341 + 5810*b331*b342 + 14442*b331*
    b343 + 5478*b331*b344 + 7968*b331*b345 + 11122*b331*b346 + 12616*b331*b347
     + 13778*b331*b348 + 332*b331*b349 + 10126*b331*b350 + 15936*b331*b351 + 
    4648*b331*b352 + 166*b331*b354 + 3444*b331*b355 + 4428*b331*b356 + 492*b331
    *b357 + 6068*b331*b358 + 16236*b331*b359 + 14596*b331*b360 + 9512*b331*b361
     + 12628*b331*b362 + 1148*b331*b363 + 5740*b331*b364 + 14268*b331*b365 + 
    5412*b331*b366 + 7872*b331*b367 + 10988*b331*b368 + 12464*b331*b369 + 13612
    *b331*b370 + 328*b331*b371 + 10004*b331*b372 + 15744*b331*b373 + 4592*b331*
    b374 + 164*b331*b376 + 1134*b331*b377 + 1458*b331*b378 + 162*b331*b379 + 
    1998*b331*b380 + 5346*b331*b381 + 4806*b331*b382 + 3132*b331*b383 + 4158*
    b331*b384 + 378*b331*b385 + 1890*b331*b386 + 4698*b331*b387 + 1782*b331*
    b388 + 2592*b331*b389 + 3618*b331*b390 + 4104*b331*b391 + 4482*b331*b392 + 
    108*b331*b393 + 3294*b331*b394 + 5184*b331*b395 + 1512*b331*b396 + 54*b331*
    b398 + 2058*b331*b399 + 2646*b331*b400 + 294*b331*b401 + 3626*b331*b402 + 
    9702*b331*b403 + 8722*b331*b404 + 5684*b331*b405 + 7546*b331*b406 + 686*
    b331*b407 + 3430*b331*b408 + 8526*b331*b409 + 3234*b331*b410 + 4704*b331*
    b411 + 6566*b331*b412 + 7448*b331*b413 + 8134*b331*b414 + 196*b331*b415 + 
    5978*b331*b416 + 9408*b331*b417 + 2744*b331*b418 + 98*b331*b420 + 630*b331*
    b421 + 810*b331*b422 + 90*b331*b423 + 1110*b331*b424 + 2970*b331*b425 + 
    2670*b331*b426 + 1740*b331*b427 + 2310*b331*b428 + 210*b331*b429 + 1050*
    b331*b430 + 2610*b331*b431 + 990*b331*b432 + 1440*b331*b433 + 2010*b331*
    b434 + 2280*b331*b435 + 2490*b331*b436 + 60*b331*b437 + 1830*b331*b438 + 
    2880*b331*b439 + 840*b331*b440 + 30*b331*b442 + 1428*b331*b443 + 1836*b331*
    b444 + 204*b331*b445 + 2516*b331*b446 + 6732*b331*b447 + 6052*b331*b448 + 
    3944*b331*b449 + 5236*b331*b450 + 476*b331*b451 + 2380*b331*b452 + 5916*
    b331*b453 + 2244*b331*b454 + 3264*b331*b455 + 4556*b331*b456 + 5168*b331*
    b457 + 5644*b331*b458 + 136*b331*b459 + 4148*b331*b460 + 6528*b331*b461 + 
    1904*b331*b462 + 68*b331*b464 + 2100*b331*b465 + 2700*b331*b466 + 300*b331*
    b467 + 3700*b331*b468 + 9900*b331*b469 + 8900*b331*b470 + 5800*b331*b471 + 
    7700*b331*b472 + 700*b331*b473 + 3500*b331*b474 + 8700*b331*b475 + 3300*
    b331*b476 + 4800*b331*b477 + 6700*b331*b478 + 7600*b331*b479 + 8300*b331*
    b480 + 200*b331*b481 + 6100*b331*b482 + 9600*b331*b483 + 2800*b331*b484 + 
    100*b331*b486 + 1764*b331*b487 + 2268*b331*b488 + 252*b331*b489 + 3108*b331
    *b490 + 8316*b331*b491 + 7476*b331*b492 + 4872*b331*b493 + 6468*b331*b494
     + 588*b331*b495 + 2940*b331*b496 + 7308*b331*b497 + 2772*b331*b498 + 4032*
    b331*b499 + 5628*b331*b500 + 6384*b331*b501 + 6972*b331*b502 + 168*b331*
    b503 + 5124*b331*b504 + 8064*b331*b505 + 2352*b331*b506 + 84*b331*b508 + 
    1092*b331*b509 + 1404*b331*b510 + 156*b331*b511 + 1924*b331*b512 + 5148*
    b331*b513 + 4628*b331*b514 + 3016*b331*b515 + 4004*b331*b516 + 364*b331*
    b517 + 1820*b331*b518 + 4524*b331*b519 + 1716*b331*b520 + 2496*b331*b521 + 
    3484*b331*b522 + 3952*b331*b523 + 4316*b331*b524 + 104*b331*b525 + 3172*
    b331*b526 + 4992*b331*b527 + 1456*b331*b528 + 52*b331*b530 + 9240*b331*b531
     + 4840*b331*b532 + 10450*b331*b533 + 6552*b331*b534 + 3432*b331*b535 + 
    7410*b331*b536 + 8232*b331*b537 + 4312*b331*b538 + 9310*b331*b539 + 16128*
    b331*b540 + 8448*b331*b541 + 18240*b331*b542 + 4704*b331*b543 + 2464*b331*
    b544 + 5320*b331*b545 + 11256*b331*b546 + 5896*b331*b547 + 12730*b331*b548
     + 2016*b331*b549 + 1056*b331*b550 + 2280*b331*b551 + 2520*b331*b552 + 1320
    *b331*b553 + 2850*b331*b554 + 11424*b331*b555 + 5984*b331*b556 + 12920*b331
    *b557 + 4704*b331*b558 + 2464*b331*b559 + 5320*b331*b560 + 1680*b331*b561
     + 880*b331*b562 + 1900*b331*b563 + 9744*b331*b564 + 5104*b331*b565 + 11020
    *b331*b566 + 7224*b331*b567 + 3784*b331*b568 + 8170*b331*b569 + 13944*b331*
    b573 + 7304*b331*b574 + 15770*b331*b575 + 13776*b331*b576 + 7216*b331*b577
     + 15580*b331*b578 + 4536*b331*b579 + 2376*b331*b580 + 5130*b331*b581 + 
    8232*b331*b582 + 4312*b331*b583 + 9310*b331*b584 + 2520*b331*b585 + 1320*
    b331*b586 + 2850*b331*b587 + 5712*b331*b588 + 2992*b331*b589 + 6460*b331*
    b590 + 8400*b331*b591 + 4400*b331*b592 + 9500*b331*b593 + 7056*b331*b594 + 
    3696*b331*b595 + 7980*b331*b596 + 4368*b331*b597 + 2288*b331*b598 + 4940*
    b331*b599 + 3996*b331*b600 + 444*b331*b601 + 5476*b331*b602 + 14652*b331*
    b603 + 13172*b331*b604 + 8584*b331*b605 + 11396*b331*b606 + 1036*b331*b607
     + 5180*b331*b608 + 12876*b331*b609 + 4884*b331*b610 + 7104*b331*b611 + 
    9916*b331*b612 + 11248*b331*b613 + 6512*b331*b614 + 12284*b331*b615 + 296*
    b331*b616 + 9028*b331*b617 + 14208*b331*b618 + 4144*b331*b619 + 148*b331*
    b621 + 14060*b331*b622 + 3108*b331*b623 + 6552*b331*b624 + 3432*b331*b625
     + 7410*b331*b626 + 11786*b332*b333 + 14110*b332*b334 + 7968*b332*b335 + 
    4316*b332*b336 + 9960*b332*b337 + 7304*b332*b338 + 4980*b332*b339 + 8300*
    b332*b340 + 8134*b332*b341 + 498*b332*b342 + 11288*b332*b343 + 5810*b332*
    b344 + 10292*b332*b345 + 6474*b332*b346 + 10956*b332*b347 + 15106*b332*b348
     + 7138*b332*b349 + 830*b332*b350 + 13612*b332*b351 + 5146*b332*b352 + 166*
    b332*b353 + 11644*b332*b355 + 13940*b332*b356 + 7872*b332*b357 + 4264*b332*
    b358 + 9840*b332*b359 + 7216*b332*b360 + 4920*b332*b361 + 8200*b332*b362 + 
    8036*b332*b363 + 492*b332*b364 + 11152*b332*b365 + 5740*b332*b366 + 10168*
    b332*b367 + 6396*b332*b368 + 10824*b332*b369 + 14924*b332*b370 + 7052*b332*
    b371 + 820*b332*b372 + 13448*b332*b373 + 5084*b332*b374 + 164*b332*b375 + 
    3834*b332*b377 + 4590*b332*b378 + 2592*b332*b379 + 1404*b332*b380 + 3240*
    b332*b381 + 2376*b332*b382 + 1620*b332*b383 + 2700*b332*b384 + 2646*b332*
    b385 + 162*b332*b386 + 3672*b332*b387 + 1890*b332*b388 + 3348*b332*b389 + 
    2106*b332*b390 + 3564*b332*b391 + 4914*b332*b392 + 2322*b332*b393 + 270*
    b332*b394 + 4428*b332*b395 + 1674*b332*b396 + 54*b332*b397 + 6958*b332*b399
     + 8330*b332*b400 + 4704*b332*b401 + 2548*b332*b402 + 5880*b332*b403 + 4312
    *b332*b404 + 2940*b332*b405 + 4900*b332*b406 + 4802*b332*b407 + 294*b332*
    b408 + 6664*b332*b409 + 3430*b332*b410 + 6076*b332*b411 + 3822*b332*b412 + 
    6468*b332*b413 + 8918*b332*b414 + 4214*b332*b415 + 490*b332*b416 + 8036*
    b332*b417 + 3038*b332*b418 + 98*b332*b419 + 2130*b332*b421 + 2550*b332*b422
     + 1440*b332*b423 + 780*b332*b424 + 1800*b332*b425 + 1320*b332*b426 + 900*
    b332*b427 + 1500*b332*b428 + 1470*b332*b429 + 90*b332*b430 + 2040*b332*b431
     + 1050*b332*b432 + 1860*b332*b433 + 1170*b332*b434 + 1980*b332*b435 + 2730
    *b332*b436 + 1290*b332*b437 + 150*b332*b438 + 2460*b332*b439 + 930*b332*
    b440 + 30*b332*b441 + 4828*b332*b443 + 5780*b332*b444 + 3264*b332*b445 + 
    1768*b332*b446 + 4080*b332*b447 + 2992*b332*b448 + 2040*b332*b449 + 3400*
    b332*b450 + 3332*b332*b451 + 204*b332*b452 + 4624*b332*b453 + 2380*b332*
    b454 + 4216*b332*b455 + 2652*b332*b456 + 4488*b332*b457 + 6188*b332*b458 + 
    2924*b332*b459 + 340*b332*b460 + 5576*b332*b461 + 2108*b332*b462 + 68*b332*
    b463 + 7100*b332*b465 + 8500*b332*b466 + 4800*b332*b467 + 2600*b332*b468 + 
    6000*b332*b469 + 4400*b332*b470 + 3000*b332*b471 + 5000*b332*b472 + 4900*
    b332*b473 + 300*b332*b474 + 6800*b332*b475 + 3500*b332*b476 + 6200*b332*
    b477 + 3900*b332*b478 + 6600*b332*b479 + 9100*b332*b480 + 4300*b332*b481 + 
    500*b332*b482 + 8200*b332*b483 + 3100*b332*b484 + 100*b332*b485 + 5964*b332
    *b487 + 7140*b332*b488 + 4032*b332*b489 + 2184*b332*b490 + 5040*b332*b491
     + 3696*b332*b492 + 2520*b332*b493 + 4200*b332*b494 + 4116*b332*b495 + 252*
    b332*b496 + 5712*b332*b497 + 2940*b332*b498 + 5208*b332*b499 + 3276*b332*
    b500 + 5544*b332*b501 + 7644*b332*b502 + 3612*b332*b503 + 420*b332*b504 + 
    6888*b332*b505 + 2604*b332*b506 + 84*b332*b507 + 3692*b332*b509 + 4420*b332
    *b510 + 2496*b332*b511 + 1352*b332*b512 + 3120*b332*b513 + 2288*b332*b514
     + 1560*b332*b515 + 2600*b332*b516 + 2548*b332*b517 + 156*b332*b518 + 3536*
    b332*b519 + 1820*b332*b520 + 3224*b332*b521 + 2028*b332*b522 + 3432*b332*
    b523 + 4732*b332*b524 + 2236*b332*b525 + 260*b332*b526 + 4264*b332*b527 + 
    1612*b332*b528 + 52*b332*b529 + 1320*b332*b531 + 2860*b332*b532 + 770*b332*
    b533 + 936*b332*b534 + 2028*b332*b535 + 546*b332*b536 + 1176*b332*b537 + 
    2548*b332*b538 + 686*b332*b539 + 2304*b332*b540 + 4992*b332*b541 + 1344*
    b332*b542 + 672*b332*b543 + 1456*b332*b544 + 392*b332*b545 + 1608*b332*b546
     + 3484*b332*b547 + 938*b332*b548 + 288*b332*b549 + 624*b332*b550 + 168*
    b332*b551 + 360*b332*b552 + 780*b332*b553 + 210*b332*b554 + 1632*b332*b555
     + 3536*b332*b556 + 952*b332*b557 + 672*b332*b558 + 1456*b332*b559 + 392*
    b332*b560 + 240*b332*b561 + 520*b332*b562 + 140*b332*b563 + 1392*b332*b564
     + 3016*b332*b565 + 812*b332*b566 + 1032*b332*b567 + 2236*b332*b568 + 602*
    b332*b569 + 1992*b332*b573 + 4316*b332*b574 + 1162*b332*b575 + 1968*b332*
    b576 + 4264*b332*b577 + 1148*b332*b578 + 648*b332*b579 + 1404*b332*b580 + 
    378*b332*b581 + 1176*b332*b582 + 2548*b332*b583 + 686*b332*b584 + 360*b332*
    b585 + 780*b332*b586 + 210*b332*b587 + 816*b332*b588 + 1768*b332*b589 + 476
    *b332*b590 + 1200*b332*b591 + 2600*b332*b592 + 700*b332*b593 + 1008*b332*
    b594 + 2184*b332*b595 + 588*b332*b596 + 624*b332*b597 + 1352*b332*b598 + 
    364*b332*b599 + 12580*b332*b600 + 7104*b332*b601 + 3848*b332*b602 + 8880*
    b332*b603 + 6512*b332*b604 + 4440*b332*b605 + 7400*b332*b606 + 7252*b332*
    b607 + 444*b332*b608 + 10064*b332*b609 + 5180*b332*b610 + 9176*b332*b611 + 
    5772*b332*b612 + 9768*b332*b613 + 3848*b332*b614 + 13468*b332*b615 + 6364*
    b332*b616 + 740*b332*b617 + 12136*b332*b618 + 4588*b332*b619 + 148*b332*
    b620 + 1036*b332*b622 + 10508*b332*b623 + 936*b332*b624 + 2028*b332*b625 + 
    546*b332*b626 + 1716*b333*b356 + 6006*b333*b357 + 726*b333*b358 + 2310*b333
    *b359 + 5412*b333*b360 + 1716*b333*b361 + 4554*b333*b362 + 3696*b333*b363
     + 5676*b333*b364 + 2970*b333*b365 + 6006*b333*b366 + 3894*b333*b367 + 1188
    *b333*b368 + 5016*b333*b369 + 1188*b333*b370 + 3762*b333*b371 + 2376*b333*
    b372 + 4026*b333*b373 + 2376*b333*b374 + 1386*b333*b375 + 4686*b333*b376 + 
    1196*b333*b378 + 4186*b333*b379 + 506*b333*b380 + 1610*b333*b381 + 3772*
    b333*b382 + 1196*b333*b383 + 3174*b333*b384 + 2576*b333*b385 + 3956*b333*
    b386 + 2070*b333*b387 + 4186*b333*b388 + 2714*b333*b389 + 828*b333*b390 + 
    3496*b333*b391 + 828*b333*b392 + 2622*b333*b393 + 1656*b333*b394 + 2806*
    b333*b395 + 1656*b333*b396 + 966*b333*b397 + 3266*b333*b398 + 832*b333*b400
     + 2912*b333*b401 + 352*b333*b402 + 1120*b333*b403 + 2624*b333*b404 + 832*
    b333*b405 + 2208*b333*b406 + 1792*b333*b407 + 2752*b333*b408 + 1440*b333*
    b409 + 2912*b333*b410 + 1888*b333*b411 + 576*b333*b412 + 2432*b333*b413 + 
    576*b333*b414 + 1824*b333*b415 + 1152*b333*b416 + 1952*b333*b417 + 1152*
    b333*b418 + 672*b333*b419 + 2272*b333*b420 + 3588*b333*b422 + 12558*b333*
    b423 + 1518*b333*b424 + 4830*b333*b425 + 11316*b333*b426 + 3588*b333*b427
     + 9522*b333*b428 + 7728*b333*b429 + 11868*b333*b430 + 6210*b333*b431 + 
    12558*b333*b432 + 8142*b333*b433 + 2484*b333*b434 + 10488*b333*b435 + 2484*
    b333*b436 + 7866*b333*b437 + 4968*b333*b438 + 8418*b333*b439 + 4968*b333*
    b440 + 2898*b333*b441 + 9798*b333*b442 + 5044*b333*b444 + 17654*b333*b445
     + 2134*b333*b446 + 6790*b333*b447 + 15908*b333*b448 + 5044*b333*b449 + 
    13386*b333*b450 + 10864*b333*b451 + 16684*b333*b452 + 8730*b333*b453 + 
    17654*b333*b454 + 11446*b333*b455 + 3492*b333*b456 + 14744*b333*b457 + 3492
    *b333*b458 + 11058*b333*b459 + 6984*b333*b460 + 11834*b333*b461 + 6984*b333
    *b462 + 4074*b333*b463 + 13774*b333*b464 + 676*b333*b466 + 2366*b333*b467
     + 286*b333*b468 + 910*b333*b469 + 2132*b333*b470 + 676*b333*b471 + 1794*
    b333*b472 + 1456*b333*b473 + 2236*b333*b474 + 1170*b333*b475 + 2366*b333*
    b476 + 1534*b333*b477 + 468*b333*b478 + 1976*b333*b479 + 468*b333*b480 + 
    1482*b333*b481 + 936*b333*b482 + 1586*b333*b483 + 936*b333*b484 + 546*b333*
    b485 + 1846*b333*b486 + 1820*b333*b488 + 6370*b333*b489 + 770*b333*b490 + 
    2450*b333*b491 + 5740*b333*b492 + 1820*b333*b493 + 4830*b333*b494 + 3920*
    b333*b495 + 6020*b333*b496 + 3150*b333*b497 + 6370*b333*b498 + 4130*b333*
    b499 + 1260*b333*b500 + 5320*b333*b501 + 1260*b333*b502 + 3990*b333*b503 + 
    2520*b333*b504 + 4270*b333*b505 + 2520*b333*b506 + 1470*b333*b507 + 4970*
    b333*b508 + 4160*b333*b510 + 14560*b333*b511 + 1760*b333*b512 + 5600*b333*
    b513 + 13120*b333*b514 + 4160*b333*b515 + 11040*b333*b516 + 8960*b333*b517
     + 13760*b333*b518 + 7200*b333*b519 + 14560*b333*b520 + 9440*b333*b521 + 
    2880*b333*b522 + 12160*b333*b523 + 2880*b333*b524 + 9120*b333*b525 + 5760*
    b333*b526 + 9760*b333*b527 + 5760*b333*b528 + 3360*b333*b529 + 11360*b333*
    b530 + 378*b333*b531 + 702*b333*b532 + 198*b333*b533 + 1302*b333*b534 + 
    2418*b333*b535 + 682*b333*b536 + 3948*b333*b537 + 7332*b333*b538 + 2068*
    b333*b539 + 3444*b333*b540 + 6396*b333*b541 + 1804*b333*b542 + 2688*b333*
    b543 + 4992*b333*b544 + 1408*b333*b545 + 1008*b333*b546 + 1872*b333*b547 + 
    528*b333*b548 + 4158*b333*b549 + 7722*b333*b550 + 2178*b333*b551 + 4158*
    b333*b552 + 7722*b333*b553 + 2178*b333*b554 + 2184*b333*b555 + 4056*b333*
    b556 + 1144*b333*b557 + 798*b333*b558 + 1482*b333*b559 + 418*b333*b560 + 
    2688*b333*b561 + 4992*b333*b562 + 1408*b333*b563 + 4158*b333*b564 + 7722*
    b333*b565 + 2178*b333*b566 + 840*b333*b567 + 1560*b333*b568 + 440*b333*b569
     + 3486*b333*b570 + 6474*b333*b571 + 1826*b333*b572 + 1386*b333*b576 + 2574
    *b333*b577 + 726*b333*b578 + 966*b333*b579 + 1794*b333*b580 + 506*b333*b581
     + 672*b333*b582 + 1248*b333*b583 + 352*b333*b584 + 2898*b333*b585 + 5382*
    b333*b586 + 1518*b333*b587 + 4074*b333*b588 + 7566*b333*b589 + 2134*b333*
    b590 + 546*b333*b591 + 1014*b333*b592 + 286*b333*b593 + 1470*b333*b594 + 
    2730*b333*b595 + 770*b333*b596 + 3360*b333*b597 + 6240*b333*b598 + 1760*
    b333*b599 + 2548*b333*b600 + 8918*b333*b601 + 1078*b333*b602 + 3430*b333*
    b603 + 8036*b333*b604 + 2548*b333*b605 + 6762*b333*b606 + 5488*b333*b607 + 
    8428*b333*b608 + 4410*b333*b609 + 8918*b333*b610 + 5782*b333*b611 + 1764*
    b333*b612 + 7448*b333*b613 + 3822*b333*b614 + 1764*b333*b615 + 5586*b333*
    b616 + 3528*b333*b617 + 5978*b333*b618 + 3528*b333*b619 + 2058*b333*b620 + 
    6958*b333*b621 + 1078*b333*b622 + 84*b333*b624 + 156*b333*b625 + 44*b333*
    b626 + 1716*b334*b355 + 1914*b334*b357 + 5412*b334*b358 + 5412*b334*b359 + 
    396*b334*b360 + 4686*b334*b361 + 528*b334*b362 + 5082*b334*b363 + 4884*b334
    *b364 + 1980*b334*b365 + 5874*b334*b366 + 5016*b334*b367 + 5016*b334*b368
     + 2640*b334*b369 + 3696*b334*b370 + 66*b334*b371 + 3300*b334*b372 + 264*
    b334*b373 + 2376*b334*b374 + 1782*b334*b375 + 5610*b334*b376 + 1196*b334*
    b377 + 1334*b334*b379 + 3772*b334*b380 + 3772*b334*b381 + 276*b334*b382 + 
    3266*b334*b383 + 368*b334*b384 + 3542*b334*b385 + 3404*b334*b386 + 1380*
    b334*b387 + 4094*b334*b388 + 3496*b334*b389 + 3496*b334*b390 + 1840*b334*
    b391 + 2576*b334*b392 + 46*b334*b393 + 2300*b334*b394 + 184*b334*b395 + 
    1656*b334*b396 + 1242*b334*b397 + 3910*b334*b398 + 832*b334*b399 + 928*b334
    *b401 + 2624*b334*b402 + 2624*b334*b403 + 192*b334*b404 + 2272*b334*b405 + 
    256*b334*b406 + 2464*b334*b407 + 2368*b334*b408 + 960*b334*b409 + 2848*b334
    *b410 + 2432*b334*b411 + 2432*b334*b412 + 1280*b334*b413 + 1792*b334*b414
     + 32*b334*b415 + 1600*b334*b416 + 128*b334*b417 + 1152*b334*b418 + 864*
    b334*b419 + 2720*b334*b420 + 3588*b334*b421 + 4002*b334*b423 + 11316*b334*
    b424 + 11316*b334*b425 + 828*b334*b426 + 9798*b334*b427 + 1104*b334*b428 + 
    10626*b334*b429 + 10212*b334*b430 + 4140*b334*b431 + 12282*b334*b432 + 
    10488*b334*b433 + 10488*b334*b434 + 5520*b334*b435 + 7728*b334*b436 + 138*
    b334*b437 + 6900*b334*b438 + 552*b334*b439 + 4968*b334*b440 + 3726*b334*
    b441 + 11730*b334*b442 + 5044*b334*b443 + 5626*b334*b445 + 15908*b334*b446
     + 15908*b334*b447 + 1164*b334*b448 + 13774*b334*b449 + 1552*b334*b450 + 
    14938*b334*b451 + 14356*b334*b452 + 5820*b334*b453 + 17266*b334*b454 + 
    14744*b334*b455 + 14744*b334*b456 + 7760*b334*b457 + 10864*b334*b458 + 194*
    b334*b459 + 9700*b334*b460 + 776*b334*b461 + 6984*b334*b462 + 5238*b334*
    b463 + 16490*b334*b464 + 676*b334*b465 + 754*b334*b467 + 2132*b334*b468 + 
    2132*b334*b469 + 156*b334*b470 + 1846*b334*b471 + 208*b334*b472 + 2002*b334
    *b473 + 1924*b334*b474 + 780*b334*b475 + 2314*b334*b476 + 1976*b334*b477 + 
    1976*b334*b478 + 1040*b334*b479 + 1456*b334*b480 + 26*b334*b481 + 1300*b334
    *b482 + 104*b334*b483 + 936*b334*b484 + 702*b334*b485 + 2210*b334*b486 + 
    1820*b334*b487 + 2030*b334*b489 + 5740*b334*b490 + 5740*b334*b491 + 420*
    b334*b492 + 4970*b334*b493 + 560*b334*b494 + 5390*b334*b495 + 5180*b334*
    b496 + 2100*b334*b497 + 6230*b334*b498 + 5320*b334*b499 + 5320*b334*b500 + 
    2800*b334*b501 + 3920*b334*b502 + 70*b334*b503 + 3500*b334*b504 + 280*b334*
    b505 + 2520*b334*b506 + 1890*b334*b507 + 5950*b334*b508 + 4160*b334*b509 + 
    4640*b334*b511 + 13120*b334*b512 + 13120*b334*b513 + 960*b334*b514 + 11360*
    b334*b515 + 1280*b334*b516 + 12320*b334*b517 + 11840*b334*b518 + 4800*b334*
    b519 + 14240*b334*b520 + 12160*b334*b521 + 12160*b334*b522 + 6400*b334*b523
     + 8960*b334*b524 + 160*b334*b525 + 8000*b334*b526 + 640*b334*b527 + 5760*
    b334*b528 + 4320*b334*b529 + 13600*b334*b530 + 1710*b334*b531 + 1674*b334*
    b532 + 36*b334*b533 + 5890*b334*b534 + 5766*b334*b535 + 124*b334*b536 + 
    17860*b334*b537 + 17484*b334*b538 + 376*b334*b539 + 15580*b334*b540 + 15252
    *b334*b541 + 328*b334*b542 + 12160*b334*b543 + 11904*b334*b544 + 256*b334*
    b545 + 4560*b334*b546 + 4464*b334*b547 + 96*b334*b548 + 18810*b334*b549 + 
    18414*b334*b550 + 396*b334*b551 + 18810*b334*b552 + 18414*b334*b553 + 396*
    b334*b554 + 9880*b334*b555 + 9672*b334*b556 + 208*b334*b557 + 3610*b334*
    b558 + 3534*b334*b559 + 76*b334*b560 + 12160*b334*b561 + 11904*b334*b562 + 
    256*b334*b563 + 18810*b334*b564 + 18414*b334*b565 + 396*b334*b566 + 3800*
    b334*b567 + 3720*b334*b568 + 80*b334*b569 + 15770*b334*b570 + 15438*b334*
    b571 + 332*b334*b572 + 6270*b334*b576 + 6138*b334*b577 + 132*b334*b578 + 
    4370*b334*b579 + 4278*b334*b580 + 92*b334*b581 + 3040*b334*b582 + 2976*b334
    *b583 + 64*b334*b584 + 13110*b334*b585 + 12834*b334*b586 + 276*b334*b587 + 
    18430*b334*b588 + 18042*b334*b589 + 388*b334*b590 + 2470*b334*b591 + 2418*
    b334*b592 + 52*b334*b593 + 6650*b334*b594 + 6510*b334*b595 + 140*b334*b596
     + 15200*b334*b597 + 14880*b334*b598 + 320*b334*b599 + 2842*b334*b601 + 
    8036*b334*b602 + 8036*b334*b603 + 588*b334*b604 + 6958*b334*b605 + 784*b334
    *b606 + 7546*b334*b607 + 7252*b334*b608 + 2940*b334*b609 + 8722*b334*b610
     + 7448*b334*b611 + 7448*b334*b612 + 3920*b334*b613 + 9114*b334*b614 + 5488
    *b334*b615 + 98*b334*b616 + 4900*b334*b617 + 392*b334*b618 + 3528*b334*b619
     + 2646*b334*b620 + 8330*b334*b621 + 196*b334*b622 + 2548*b334*b623 + 380*
    b334*b624 + 372*b334*b625 + 8*b334*b626 + 6006*b335*b355 + 1914*b335*b356
     + 66*b335*b358 + 990*b335*b359 + 726*b335*b360 + 2310*b335*b361 + 726*b335
    *b362 + 1320*b335*b363 + 1386*b335*b364 + 4026*b335*b365 + 5280*b335*b366
     + 3828*b335*b367 + 1386*b335*b368 + 5016*b335*b369 + 2904*b335*b370 + 5610
    *b335*b371 + 6204*b335*b372 + 5940*b335*b373 + 3366*b335*b374 + 198*b335*
    b375 + 3168*b335*b376 + 4186*b335*b377 + 1334*b335*b378 + 46*b335*b380 + 
    690*b335*b381 + 506*b335*b382 + 1610*b335*b383 + 506*b335*b384 + 920*b335*
    b385 + 966*b335*b386 + 2806*b335*b387 + 3680*b335*b388 + 2668*b335*b389 + 
    966*b335*b390 + 3496*b335*b391 + 2024*b335*b392 + 3910*b335*b393 + 4324*
    b335*b394 + 4140*b335*b395 + 2346*b335*b396 + 138*b335*b397 + 2208*b335*
    b398 + 2912*b335*b399 + 928*b335*b400 + 32*b335*b402 + 480*b335*b403 + 352*
    b335*b404 + 1120*b335*b405 + 352*b335*b406 + 640*b335*b407 + 672*b335*b408
     + 1952*b335*b409 + 2560*b335*b410 + 1856*b335*b411 + 672*b335*b412 + 2432*
    b335*b413 + 1408*b335*b414 + 2720*b335*b415 + 3008*b335*b416 + 2880*b335*
    b417 + 1632*b335*b418 + 96*b335*b419 + 1536*b335*b420 + 12558*b335*b421 + 
    4002*b335*b422 + 138*b335*b424 + 2070*b335*b425 + 1518*b335*b426 + 4830*
    b335*b427 + 1518*b335*b428 + 2760*b335*b429 + 2898*b335*b430 + 8418*b335*
    b431 + 11040*b335*b432 + 8004*b335*b433 + 2898*b335*b434 + 10488*b335*b435
     + 6072*b335*b436 + 11730*b335*b437 + 12972*b335*b438 + 12420*b335*b439 + 
    7038*b335*b440 + 414*b335*b441 + 6624*b335*b442 + 17654*b335*b443 + 5626*
    b335*b444 + 194*b335*b446 + 2910*b335*b447 + 2134*b335*b448 + 6790*b335*
    b449 + 2134*b335*b450 + 3880*b335*b451 + 4074*b335*b452 + 11834*b335*b453
     + 15520*b335*b454 + 11252*b335*b455 + 4074*b335*b456 + 14744*b335*b457 + 
    8536*b335*b458 + 16490*b335*b459 + 18236*b335*b460 + 17460*b335*b461 + 9894
    *b335*b462 + 582*b335*b463 + 9312*b335*b464 + 2366*b335*b465 + 754*b335*
    b466 + 26*b335*b468 + 390*b335*b469 + 286*b335*b470 + 910*b335*b471 + 286*
    b335*b472 + 520*b335*b473 + 546*b335*b474 + 1586*b335*b475 + 2080*b335*b476
     + 1508*b335*b477 + 546*b335*b478 + 1976*b335*b479 + 1144*b335*b480 + 2210*
    b335*b481 + 2444*b335*b482 + 2340*b335*b483 + 1326*b335*b484 + 78*b335*b485
     + 1248*b335*b486 + 6370*b335*b487 + 2030*b335*b488 + 70*b335*b490 + 1050*
    b335*b491 + 770*b335*b492 + 2450*b335*b493 + 770*b335*b494 + 1400*b335*b495
     + 1470*b335*b496 + 4270*b335*b497 + 5600*b335*b498 + 4060*b335*b499 + 1470
    *b335*b500 + 5320*b335*b501 + 3080*b335*b502 + 5950*b335*b503 + 6580*b335*
    b504 + 6300*b335*b505 + 3570*b335*b506 + 210*b335*b507 + 3360*b335*b508 + 
    14560*b335*b509 + 4640*b335*b510 + 160*b335*b512 + 2400*b335*b513 + 1760*
    b335*b514 + 5600*b335*b515 + 1760*b335*b516 + 3200*b335*b517 + 3360*b335*
    b518 + 9760*b335*b519 + 12800*b335*b520 + 9280*b335*b521 + 3360*b335*b522
     + 12160*b335*b523 + 7040*b335*b524 + 13600*b335*b525 + 15040*b335*b526 + 
    14400*b335*b527 + 8160*b335*b528 + 480*b335*b529 + 7680*b335*b530 + 1476*
    b335*b531 + 1296*b335*b532 + 522*b335*b533 + 5084*b335*b534 + 4464*b335*
    b535 + 1798*b335*b536 + 15416*b335*b537 + 13536*b335*b538 + 5452*b335*b539
     + 13448*b335*b540 + 11808*b335*b541 + 4756*b335*b542 + 10496*b335*b543 + 
    9216*b335*b544 + 3712*b335*b545 + 3936*b335*b546 + 3456*b335*b547 + 1392*
    b335*b548 + 16236*b335*b549 + 14256*b335*b550 + 5742*b335*b551 + 16236*b335
    *b552 + 14256*b335*b553 + 5742*b335*b554 + 8528*b335*b555 + 7488*b335*b556
     + 3016*b335*b557 + 3116*b335*b558 + 2736*b335*b559 + 1102*b335*b560 + 
    10496*b335*b561 + 9216*b335*b562 + 3712*b335*b563 + 16236*b335*b564 + 14256
    *b335*b565 + 5742*b335*b566 + 3280*b335*b567 + 2880*b335*b568 + 1160*b335*
    b569 + 13612*b335*b570 + 11952*b335*b571 + 4814*b335*b572 + 5412*b335*b576
     + 4752*b335*b577 + 1914*b335*b578 + 3772*b335*b579 + 3312*b335*b580 + 1334
    *b335*b581 + 2624*b335*b582 + 2304*b335*b583 + 928*b335*b584 + 11316*b335*
    b585 + 9936*b335*b586 + 4002*b335*b587 + 15908*b335*b588 + 13968*b335*b589
     + 5626*b335*b590 + 2132*b335*b591 + 1872*b335*b592 + 754*b335*b593 + 5740*
    b335*b594 + 5040*b335*b595 + 2030*b335*b596 + 13120*b335*b597 + 11520*b335*
    b598 + 4640*b335*b599 + 2842*b335*b600 + 98*b335*b602 + 1470*b335*b603 + 
    1078*b335*b604 + 3430*b335*b605 + 1078*b335*b606 + 1960*b335*b607 + 2058*
    b335*b608 + 5978*b335*b609 + 7840*b335*b610 + 5684*b335*b611 + 2058*b335*
    b612 + 7448*b335*b613 + 7056*b335*b614 + 4312*b335*b615 + 8330*b335*b616 + 
    9212*b335*b617 + 8820*b335*b618 + 4998*b335*b619 + 294*b335*b620 + 4704*
    b335*b621 + 2842*b335*b622 + 8918*b335*b623 + 328*b335*b624 + 288*b335*b625
     + 116*b335*b626 + 726*b336*b355 + 5412*b336*b356 + 66*b336*b357 + 5940*
    b336*b359 + 4356*b336*b360 + 2706*b336*b361 + 990*b336*b362 + 5478*b336*
    b363 + 6336*b336*b364 + 4884*b336*b365 + 2970*b336*b366 + 4290*b336*b367 + 
    2640*b336*b368 + 3564*b336*b369 + 924*b336*b370 + 4686*b336*b371 + 5082*
    b336*b372 + 2376*b336*b373 + 3498*b336*b374 + 2442*b336*b375 + 1716*b336*
    b376 + 506*b336*b377 + 3772*b336*b378 + 46*b336*b379 + 4140*b336*b381 + 
    3036*b336*b382 + 1886*b336*b383 + 690*b336*b384 + 3818*b336*b385 + 4416*
    b336*b386 + 3404*b336*b387 + 2070*b336*b388 + 2990*b336*b389 + 1840*b336*
    b390 + 2484*b336*b391 + 644*b336*b392 + 3266*b336*b393 + 3542*b336*b394 + 
    1656*b336*b395 + 2438*b336*b396 + 1702*b336*b397 + 1196*b336*b398 + 352*
    b336*b399 + 2624*b336*b400 + 32*b336*b401 + 2880*b336*b403 + 2112*b336*b404
     + 1312*b336*b405 + 480*b336*b406 + 2656*b336*b407 + 3072*b336*b408 + 2368*
    b336*b409 + 1440*b336*b410 + 2080*b336*b411 + 1280*b336*b412 + 1728*b336*
    b413 + 448*b336*b414 + 2272*b336*b415 + 2464*b336*b416 + 1152*b336*b417 + 
    1696*b336*b418 + 1184*b336*b419 + 832*b336*b420 + 1518*b336*b421 + 11316*
    b336*b422 + 138*b336*b423 + 12420*b336*b425 + 9108*b336*b426 + 5658*b336*
    b427 + 2070*b336*b428 + 11454*b336*b429 + 13248*b336*b430 + 10212*b336*b431
     + 6210*b336*b432 + 8970*b336*b433 + 5520*b336*b434 + 7452*b336*b435 + 1932
    *b336*b436 + 9798*b336*b437 + 10626*b336*b438 + 4968*b336*b439 + 7314*b336*
    b440 + 5106*b336*b441 + 3588*b336*b442 + 2134*b336*b443 + 15908*b336*b444
     + 194*b336*b445 + 17460*b336*b447 + 12804*b336*b448 + 7954*b336*b449 + 
    2910*b336*b450 + 16102*b336*b451 + 18624*b336*b452 + 14356*b336*b453 + 8730
    *b336*b454 + 12610*b336*b455 + 7760*b336*b456 + 10476*b336*b457 + 2716*b336
    *b458 + 13774*b336*b459 + 14938*b336*b460 + 6984*b336*b461 + 10282*b336*
    b462 + 7178*b336*b463 + 5044*b336*b464 + 286*b336*b465 + 2132*b336*b466 + 
    26*b336*b467 + 2340*b336*b469 + 1716*b336*b470 + 1066*b336*b471 + 390*b336*
    b472 + 2158*b336*b473 + 2496*b336*b474 + 1924*b336*b475 + 1170*b336*b476 + 
    1690*b336*b477 + 1040*b336*b478 + 1404*b336*b479 + 364*b336*b480 + 1846*
    b336*b481 + 2002*b336*b482 + 936*b336*b483 + 1378*b336*b484 + 962*b336*b485
     + 676*b336*b486 + 770*b336*b487 + 5740*b336*b488 + 70*b336*b489 + 6300*
    b336*b491 + 4620*b336*b492 + 2870*b336*b493 + 1050*b336*b494 + 5810*b336*
    b495 + 6720*b336*b496 + 5180*b336*b497 + 3150*b336*b498 + 4550*b336*b499 + 
    2800*b336*b500 + 3780*b336*b501 + 980*b336*b502 + 4970*b336*b503 + 5390*
    b336*b504 + 2520*b336*b505 + 3710*b336*b506 + 2590*b336*b507 + 1820*b336*
    b508 + 1760*b336*b509 + 13120*b336*b510 + 160*b336*b511 + 14400*b336*b513
     + 10560*b336*b514 + 6560*b336*b515 + 2400*b336*b516 + 13280*b336*b517 + 
    15360*b336*b518 + 11840*b336*b519 + 7200*b336*b520 + 10400*b336*b521 + 6400
    *b336*b522 + 8640*b336*b523 + 2240*b336*b524 + 11360*b336*b525 + 12320*b336
    *b526 + 5760*b336*b527 + 8480*b336*b528 + 5920*b336*b529 + 4160*b336*b530
     + 1008*b336*b531 + 1494*b336*b532 + 1566*b336*b533 + 3472*b336*b534 + 5146
    *b336*b535 + 5394*b336*b536 + 10528*b336*b537 + 15604*b336*b538 + 16356*
    b336*b539 + 9184*b336*b540 + 13612*b336*b541 + 14268*b336*b542 + 7168*b336*
    b543 + 10624*b336*b544 + 11136*b336*b545 + 2688*b336*b546 + 3984*b336*b547
     + 4176*b336*b548 + 11088*b336*b549 + 16434*b336*b550 + 17226*b336*b551 + 
    11088*b336*b552 + 16434*b336*b553 + 17226*b336*b554 + 5824*b336*b555 + 8632
    *b336*b556 + 9048*b336*b557 + 2128*b336*b558 + 3154*b336*b559 + 3306*b336*
    b560 + 7168*b336*b561 + 10624*b336*b562 + 11136*b336*b563 + 11088*b336*b564
     + 16434*b336*b565 + 17226*b336*b566 + 2240*b336*b567 + 3320*b336*b568 + 
    3480*b336*b569 + 9296*b336*b570 + 13778*b336*b571 + 14442*b336*b572 + 3696*
    b336*b576 + 5478*b336*b577 + 5742*b336*b578 + 2576*b336*b579 + 3818*b336*
    b580 + 4002*b336*b581 + 1792*b336*b582 + 2656*b336*b583 + 2784*b336*b584 + 
    7728*b336*b585 + 11454*b336*b586 + 12006*b336*b587 + 10864*b336*b588 + 
    16102*b336*b589 + 16878*b336*b590 + 1456*b336*b591 + 2158*b336*b592 + 2262*
    b336*b593 + 3920*b336*b594 + 5810*b336*b595 + 6090*b336*b596 + 8960*b336*
    b597 + 13280*b336*b598 + 13920*b336*b599 + 8036*b336*b600 + 98*b336*b601 + 
    8820*b336*b603 + 6468*b336*b604 + 4018*b336*b605 + 1470*b336*b606 + 8134*
    b336*b607 + 9408*b336*b608 + 7252*b336*b609 + 4410*b336*b610 + 6370*b336*
    b611 + 3920*b336*b612 + 5292*b336*b613 + 8134*b336*b614 + 1372*b336*b615 + 
    6958*b336*b616 + 7546*b336*b617 + 3528*b336*b618 + 5194*b336*b619 + 3626*
    b336*b620 + 2548*b336*b621 + 8526*b336*b622 + 1078*b336*b623 + 224*b336*
    b624 + 332*b336*b625 + 348*b336*b626 + 2310*b337*b355 + 5412*b337*b356 + 
    990*b337*b357 + 5940*b337*b358 + 5016*b337*b360 + 6006*b337*b361 + 858*b337
    *b362 + 1914*b337*b363 + 726*b337*b364 + 5082*b337*b365 + 2112*b337*b366 + 
    5742*b337*b367 + 4422*b337*b368 + 6204*b337*b369 + 132*b337*b370 + 660*b337
    *b371 + 6534*b337*b372 + 3696*b337*b373 + 4620*b337*b374 + 6534*b337*b375
     + 3960*b337*b376 + 1610*b337*b377 + 3772*b337*b378 + 690*b337*b379 + 4140*
    b337*b380 + 3496*b337*b382 + 4186*b337*b383 + 598*b337*b384 + 1334*b337*
    b385 + 506*b337*b386 + 3542*b337*b387 + 1472*b337*b388 + 4002*b337*b389 + 
    3082*b337*b390 + 4324*b337*b391 + 92*b337*b392 + 460*b337*b393 + 4554*b337*
    b394 + 2576*b337*b395 + 3220*b337*b396 + 4554*b337*b397 + 2760*b337*b398 + 
    1120*b337*b399 + 2624*b337*b400 + 480*b337*b401 + 2880*b337*b402 + 2432*
    b337*b404 + 2912*b337*b405 + 416*b337*b406 + 928*b337*b407 + 352*b337*b408
     + 2464*b337*b409 + 1024*b337*b410 + 2784*b337*b411 + 2144*b337*b412 + 3008
    *b337*b413 + 64*b337*b414 + 320*b337*b415 + 3168*b337*b416 + 1792*b337*b417
     + 2240*b337*b418 + 3168*b337*b419 + 1920*b337*b420 + 4830*b337*b421 + 
    11316*b337*b422 + 2070*b337*b423 + 12420*b337*b424 + 10488*b337*b426 + 
    12558*b337*b427 + 1794*b337*b428 + 4002*b337*b429 + 1518*b337*b430 + 10626*
    b337*b431 + 4416*b337*b432 + 12006*b337*b433 + 9246*b337*b434 + 12972*b337*
    b435 + 276*b337*b436 + 1380*b337*b437 + 13662*b337*b438 + 7728*b337*b439 + 
    9660*b337*b440 + 13662*b337*b441 + 8280*b337*b442 + 6790*b337*b443 + 15908*
    b337*b444 + 2910*b337*b445 + 17460*b337*b446 + 14744*b337*b448 + 17654*b337
    *b449 + 2522*b337*b450 + 5626*b337*b451 + 2134*b337*b452 + 14938*b337*b453
     + 6208*b337*b454 + 16878*b337*b455 + 12998*b337*b456 + 18236*b337*b457 + 
    388*b337*b458 + 1940*b337*b459 + 19206*b337*b460 + 10864*b337*b461 + 13580*
    b337*b462 + 19206*b337*b463 + 11640*b337*b464 + 910*b337*b465 + 2132*b337*
    b466 + 390*b337*b467 + 2340*b337*b468 + 1976*b337*b470 + 2366*b337*b471 + 
    338*b337*b472 + 754*b337*b473 + 286*b337*b474 + 2002*b337*b475 + 832*b337*
    b476 + 2262*b337*b477 + 1742*b337*b478 + 2444*b337*b479 + 52*b337*b480 + 
    260*b337*b481 + 2574*b337*b482 + 1456*b337*b483 + 1820*b337*b484 + 2574*
    b337*b485 + 1560*b337*b486 + 2450*b337*b487 + 5740*b337*b488 + 1050*b337*
    b489 + 6300*b337*b490 + 5320*b337*b492 + 6370*b337*b493 + 910*b337*b494 + 
    2030*b337*b495 + 770*b337*b496 + 5390*b337*b497 + 2240*b337*b498 + 6090*
    b337*b499 + 4690*b337*b500 + 6580*b337*b501 + 140*b337*b502 + 700*b337*b503
     + 6930*b337*b504 + 3920*b337*b505 + 4900*b337*b506 + 6930*b337*b507 + 4200
    *b337*b508 + 5600*b337*b509 + 13120*b337*b510 + 2400*b337*b511 + 14400*b337
    *b512 + 12160*b337*b514 + 14560*b337*b515 + 2080*b337*b516 + 4640*b337*b517
     + 1760*b337*b518 + 12320*b337*b519 + 5120*b337*b520 + 13920*b337*b521 + 
    10720*b337*b522 + 15040*b337*b523 + 320*b337*b524 + 1600*b337*b525 + 15840*
    b337*b526 + 8960*b337*b527 + 11200*b337*b528 + 15840*b337*b529 + 9600*b337*
    b530 + 738*b337*b531 + 1422*b337*b532 + 72*b337*b533 + 2542*b337*b534 + 
    4898*b337*b535 + 248*b337*b536 + 7708*b337*b537 + 14852*b337*b538 + 752*
    b337*b539 + 6724*b337*b540 + 12956*b337*b541 + 656*b337*b542 + 5248*b337*
    b543 + 10112*b337*b544 + 512*b337*b545 + 1968*b337*b546 + 3792*b337*b547 + 
    192*b337*b548 + 8118*b337*b549 + 15642*b337*b550 + 792*b337*b551 + 8118*
    b337*b552 + 15642*b337*b553 + 792*b337*b554 + 4264*b337*b555 + 8216*b337*
    b556 + 416*b337*b557 + 1558*b337*b558 + 3002*b337*b559 + 152*b337*b560 + 
    5248*b337*b561 + 10112*b337*b562 + 512*b337*b563 + 8118*b337*b564 + 15642*
    b337*b565 + 792*b337*b566 + 1640*b337*b567 + 3160*b337*b568 + 160*b337*b569
     + 6806*b337*b570 + 13114*b337*b571 + 664*b337*b572 + 2706*b337*b576 + 5214
    *b337*b577 + 264*b337*b578 + 1886*b337*b579 + 3634*b337*b580 + 184*b337*
    b581 + 1312*b337*b582 + 2528*b337*b583 + 128*b337*b584 + 5658*b337*b585 + 
    10902*b337*b586 + 552*b337*b587 + 7954*b337*b588 + 15326*b337*b589 + 776*
    b337*b590 + 1066*b337*b591 + 2054*b337*b592 + 104*b337*b593 + 2870*b337*
    b594 + 5530*b337*b595 + 280*b337*b596 + 6560*b337*b597 + 12640*b337*b598 + 
    640*b337*b599 + 8036*b337*b600 + 1470*b337*b601 + 8820*b337*b602 + 7448*
    b337*b604 + 8918*b337*b605 + 1274*b337*b606 + 2842*b337*b607 + 1078*b337*
    b608 + 7546*b337*b609 + 3136*b337*b610 + 8526*b337*b611 + 6566*b337*b612 + 
    9212*b337*b613 + 7742*b337*b614 + 196*b337*b615 + 980*b337*b616 + 9702*b337
    *b617 + 5488*b337*b618 + 6860*b337*b619 + 9702*b337*b620 + 5880*b337*b621
     + 392*b337*b622 + 3430*b337*b623 + 164*b337*b624 + 316*b337*b625 + 16*b337
    *b626 + 5412*b338*b355 + 396*b338*b356 + 726*b338*b357 + 4356*b338*b358 + 
    5016*b338*b359 + 3696*b338*b361 + 132*b338*b362 + 3960*b338*b363 + 4752*
    b338*b364 + 4884*b338*b365 + 3036*b338*b366 + 858*b338*b367 + 1320*b338*
    b368 + 5676*b338*b369 + 5082*b338*b370 + 990*b338*b371 + 5874*b338*b372 + 
    3168*b338*b373 + 924*b338*b374 + 5874*b338*b375 + 2904*b338*b376 + 3772*
    b338*b377 + 276*b338*b378 + 506*b338*b379 + 3036*b338*b380 + 3496*b338*b381
     + 2576*b338*b383 + 92*b338*b384 + 2760*b338*b385 + 3312*b338*b386 + 3404*
    b338*b387 + 2116*b338*b388 + 598*b338*b389 + 920*b338*b390 + 3956*b338*b391
     + 3542*b338*b392 + 690*b338*b393 + 4094*b338*b394 + 2208*b338*b395 + 644*
    b338*b396 + 4094*b338*b397 + 2024*b338*b398 + 2624*b338*b399 + 192*b338*
    b400 + 352*b338*b401 + 2112*b338*b402 + 2432*b338*b403 + 1792*b338*b405 + 
    64*b338*b406 + 1920*b338*b407 + 2304*b338*b408 + 2368*b338*b409 + 1472*b338
    *b410 + 416*b338*b411 + 640*b338*b412 + 2752*b338*b413 + 2464*b338*b414 + 
    480*b338*b415 + 2848*b338*b416 + 1536*b338*b417 + 448*b338*b418 + 2848*b338
    *b419 + 1408*b338*b420 + 11316*b338*b421 + 828*b338*b422 + 1518*b338*b423
     + 9108*b338*b424 + 10488*b338*b425 + 7728*b338*b427 + 276*b338*b428 + 8280
    *b338*b429 + 9936*b338*b430 + 10212*b338*b431 + 6348*b338*b432 + 1794*b338*
    b433 + 2760*b338*b434 + 11868*b338*b435 + 10626*b338*b436 + 2070*b338*b437
     + 12282*b338*b438 + 6624*b338*b439 + 1932*b338*b440 + 12282*b338*b441 + 
    6072*b338*b442 + 15908*b338*b443 + 1164*b338*b444 + 2134*b338*b445 + 12804*
    b338*b446 + 14744*b338*b447 + 10864*b338*b449 + 388*b338*b450 + 11640*b338*
    b451 + 13968*b338*b452 + 14356*b338*b453 + 8924*b338*b454 + 2522*b338*b455
     + 3880*b338*b456 + 16684*b338*b457 + 14938*b338*b458 + 2910*b338*b459 + 
    17266*b338*b460 + 9312*b338*b461 + 2716*b338*b462 + 17266*b338*b463 + 8536*
    b338*b464 + 2132*b338*b465 + 156*b338*b466 + 286*b338*b467 + 1716*b338*b468
     + 1976*b338*b469 + 1456*b338*b471 + 52*b338*b472 + 1560*b338*b473 + 1872*
    b338*b474 + 1924*b338*b475 + 1196*b338*b476 + 338*b338*b477 + 520*b338*b478
     + 2236*b338*b479 + 2002*b338*b480 + 390*b338*b481 + 2314*b338*b482 + 1248*
    b338*b483 + 364*b338*b484 + 2314*b338*b485 + 1144*b338*b486 + 5740*b338*
    b487 + 420*b338*b488 + 770*b338*b489 + 4620*b338*b490 + 5320*b338*b491 + 
    3920*b338*b493 + 140*b338*b494 + 4200*b338*b495 + 5040*b338*b496 + 5180*
    b338*b497 + 3220*b338*b498 + 910*b338*b499 + 1400*b338*b500 + 6020*b338*
    b501 + 5390*b338*b502 + 1050*b338*b503 + 6230*b338*b504 + 3360*b338*b505 + 
    980*b338*b506 + 6230*b338*b507 + 3080*b338*b508 + 13120*b338*b509 + 960*
    b338*b510 + 1760*b338*b511 + 10560*b338*b512 + 12160*b338*b513 + 8960*b338*
    b515 + 320*b338*b516 + 9600*b338*b517 + 11520*b338*b518 + 11840*b338*b519
     + 7360*b338*b520 + 2080*b338*b521 + 3200*b338*b522 + 13760*b338*b523 + 
    12320*b338*b524 + 2400*b338*b525 + 14240*b338*b526 + 7680*b338*b527 + 2240*
    b338*b528 + 14240*b338*b529 + 7040*b338*b530 + 108*b338*b531 + 72*b338*b532
     + 1062*b338*b533 + 372*b338*b534 + 248*b338*b535 + 3658*b338*b536 + 1128*
    b338*b537 + 752*b338*b538 + 11092*b338*b539 + 984*b338*b540 + 656*b338*b541
     + 9676*b338*b542 + 768*b338*b543 + 512*b338*b544 + 7552*b338*b545 + 288*
    b338*b546 + 192*b338*b547 + 2832*b338*b548 + 1188*b338*b549 + 792*b338*b550
     + 11682*b338*b551 + 1188*b338*b552 + 792*b338*b553 + 11682*b338*b554 + 624
    *b338*b555 + 416*b338*b556 + 6136*b338*b557 + 228*b338*b558 + 152*b338*b559
     + 2242*b338*b560 + 768*b338*b561 + 512*b338*b562 + 7552*b338*b563 + 1188*
    b338*b564 + 792*b338*b565 + 11682*b338*b566 + 240*b338*b567 + 160*b338*b568
     + 2360*b338*b569 + 996*b338*b570 + 664*b338*b571 + 9794*b338*b572 + 396*
    b338*b576 + 264*b338*b577 + 3894*b338*b578 + 276*b338*b579 + 184*b338*b580
     + 2714*b338*b581 + 192*b338*b582 + 128*b338*b583 + 1888*b338*b584 + 828*
    b338*b585 + 552*b338*b586 + 8142*b338*b587 + 1164*b338*b588 + 776*b338*b589
     + 11446*b338*b590 + 156*b338*b591 + 104*b338*b592 + 1534*b338*b593 + 420*
    b338*b594 + 280*b338*b595 + 4130*b338*b596 + 960*b338*b597 + 640*b338*b598
     + 9440*b338*b599 + 588*b338*b600 + 1078*b338*b601 + 6468*b338*b602 + 7448*
    b338*b603 + 5488*b338*b605 + 196*b338*b606 + 5880*b338*b607 + 7056*b338*
    b608 + 7252*b338*b609 + 4508*b338*b610 + 1274*b338*b611 + 1960*b338*b612 + 
    8428*b338*b613 + 392*b338*b614 + 7546*b338*b615 + 1470*b338*b616 + 8722*
    b338*b617 + 4704*b338*b618 + 1372*b338*b619 + 8722*b338*b620 + 4312*b338*
    b621 + 5782*b338*b622 + 8036*b338*b623 + 24*b338*b624 + 16*b338*b625 + 236*
    b338*b626 + 1716*b339*b355 + 4686*b339*b356 + 2310*b339*b357 + 2706*b339*
    b358 + 6006*b339*b359 + 3696*b339*b360 + 1452*b339*b362 + 3762*b339*b363 + 
    4158*b339*b364 + 396*b339*b365 + 4092*b339*b367 + 2706*b339*b368 + 4092*
    b339*b369 + 1650*b339*b370 + 4950*b339*b371 + 5016*b339*b372 + 2640*b339*
    b373 + 4356*b339*b374 + 3828*b339*b375 + 1980*b339*b376 + 1196*b339*b377 + 
    3266*b339*b378 + 1610*b339*b379 + 1886*b339*b380 + 4186*b339*b381 + 2576*
    b339*b382 + 1012*b339*b384 + 2622*b339*b385 + 2898*b339*b386 + 276*b339*
    b387 + 2852*b339*b389 + 1886*b339*b390 + 2852*b339*b391 + 1150*b339*b392 + 
    3450*b339*b393 + 3496*b339*b394 + 1840*b339*b395 + 3036*b339*b396 + 2668*
    b339*b397 + 1380*b339*b398 + 832*b339*b399 + 2272*b339*b400 + 1120*b339*
    b401 + 1312*b339*b402 + 2912*b339*b403 + 1792*b339*b404 + 704*b339*b406 + 
    1824*b339*b407 + 2016*b339*b408 + 192*b339*b409 + 1984*b339*b411 + 1312*
    b339*b412 + 1984*b339*b413 + 800*b339*b414 + 2400*b339*b415 + 2432*b339*
    b416 + 1280*b339*b417 + 2112*b339*b418 + 1856*b339*b419 + 960*b339*b420 + 
    3588*b339*b421 + 9798*b339*b422 + 4830*b339*b423 + 5658*b339*b424 + 12558*
    b339*b425 + 7728*b339*b426 + 3036*b339*b428 + 7866*b339*b429 + 8694*b339*
    b430 + 828*b339*b431 + 8556*b339*b433 + 5658*b339*b434 + 8556*b339*b435 + 
    3450*b339*b436 + 10350*b339*b437 + 10488*b339*b438 + 5520*b339*b439 + 9108*
    b339*b440 + 8004*b339*b441 + 4140*b339*b442 + 5044*b339*b443 + 13774*b339*
    b444 + 6790*b339*b445 + 7954*b339*b446 + 17654*b339*b447 + 10864*b339*b448
     + 4268*b339*b450 + 11058*b339*b451 + 12222*b339*b452 + 1164*b339*b453 + 
    12028*b339*b455 + 7954*b339*b456 + 12028*b339*b457 + 4850*b339*b458 + 14550
    *b339*b459 + 14744*b339*b460 + 7760*b339*b461 + 12804*b339*b462 + 11252*
    b339*b463 + 5820*b339*b464 + 676*b339*b465 + 1846*b339*b466 + 910*b339*b467
     + 1066*b339*b468 + 2366*b339*b469 + 1456*b339*b470 + 572*b339*b472 + 1482*
    b339*b473 + 1638*b339*b474 + 156*b339*b475 + 1612*b339*b477 + 1066*b339*
    b478 + 1612*b339*b479 + 650*b339*b480 + 1950*b339*b481 + 1976*b339*b482 + 
    1040*b339*b483 + 1716*b339*b484 + 1508*b339*b485 + 780*b339*b486 + 1820*
    b339*b487 + 4970*b339*b488 + 2450*b339*b489 + 2870*b339*b490 + 6370*b339*
    b491 + 3920*b339*b492 + 1540*b339*b494 + 3990*b339*b495 + 4410*b339*b496 + 
    420*b339*b497 + 4340*b339*b499 + 2870*b339*b500 + 4340*b339*b501 + 1750*
    b339*b502 + 5250*b339*b503 + 5320*b339*b504 + 2800*b339*b505 + 4620*b339*
    b506 + 4060*b339*b507 + 2100*b339*b508 + 4160*b339*b509 + 11360*b339*b510
     + 5600*b339*b511 + 6560*b339*b512 + 14560*b339*b513 + 8960*b339*b514 + 
    3520*b339*b516 + 9120*b339*b517 + 10080*b339*b518 + 960*b339*b519 + 9920*
    b339*b521 + 6560*b339*b522 + 9920*b339*b523 + 4000*b339*b524 + 12000*b339*
    b525 + 12160*b339*b526 + 6400*b339*b527 + 10560*b339*b528 + 9280*b339*b529
     + 4800*b339*b530 + 450*b339*b531 + 828*b339*b532 + 1224*b339*b533 + 1550*
    b339*b534 + 2852*b339*b535 + 4216*b339*b536 + 4700*b339*b537 + 8648*b339*
    b538 + 12784*b339*b539 + 4100*b339*b540 + 7544*b339*b541 + 11152*b339*b542
     + 3200*b339*b543 + 5888*b339*b544 + 8704*b339*b545 + 1200*b339*b546 + 2208
    *b339*b547 + 3264*b339*b548 + 4950*b339*b549 + 9108*b339*b550 + 13464*b339*
    b551 + 4950*b339*b552 + 9108*b339*b553 + 13464*b339*b554 + 2600*b339*b555
     + 4784*b339*b556 + 7072*b339*b557 + 950*b339*b558 + 1748*b339*b559 + 2584*
    b339*b560 + 3200*b339*b561 + 5888*b339*b562 + 8704*b339*b563 + 4950*b339*
    b564 + 9108*b339*b565 + 13464*b339*b566 + 1000*b339*b567 + 1840*b339*b568
     + 2720*b339*b569 + 4150*b339*b570 + 7636*b339*b571 + 11288*b339*b572 + 
    1650*b339*b576 + 3036*b339*b577 + 4488*b339*b578 + 1150*b339*b579 + 2116*
    b339*b580 + 3128*b339*b581 + 800*b339*b582 + 1472*b339*b583 + 2176*b339*
    b584 + 3450*b339*b585 + 6348*b339*b586 + 9384*b339*b587 + 4850*b339*b588 + 
    8924*b339*b589 + 13192*b339*b590 + 650*b339*b591 + 1196*b339*b592 + 1768*
    b339*b593 + 1750*b339*b594 + 3220*b339*b595 + 4760*b339*b596 + 4000*b339*
    b597 + 7360*b339*b598 + 10880*b339*b599 + 6958*b339*b600 + 3430*b339*b601
     + 4018*b339*b602 + 8918*b339*b603 + 5488*b339*b604 + 2156*b339*b606 + 5586
    *b339*b607 + 6174*b339*b608 + 588*b339*b609 + 6076*b339*b611 + 4018*b339*
    b612 + 6076*b339*b613 + 4508*b339*b614 + 2450*b339*b615 + 7350*b339*b616 + 
    7448*b339*b617 + 3920*b339*b618 + 6468*b339*b619 + 5684*b339*b620 + 2940*
    b339*b621 + 6664*b339*b622 + 2548*b339*b623 + 100*b339*b624 + 184*b339*b625
     + 272*b339*b626 + 4554*b340*b355 + 528*b340*b356 + 726*b340*b357 + 990*
    b340*b358 + 858*b340*b359 + 132*b340*b360 + 1452*b340*b361 + 5148*b340*b363
     + 6006*b340*b364 + 858*b340*b365 + 3894*b340*b366 + 3234*b340*b367 + 5610*
    b340*b368 + 5544*b340*b369 + 2508*b340*b370 + 2706*b340*b371 + 3696*b340*
    b372 + 2574*b340*b373 + 3498*b340*b374 + 5082*b340*b375 + 3300*b340*b376 + 
    3174*b340*b377 + 368*b340*b378 + 506*b340*b379 + 690*b340*b380 + 598*b340*
    b381 + 92*b340*b382 + 1012*b340*b383 + 3588*b340*b385 + 4186*b340*b386 + 
    598*b340*b387 + 2714*b340*b388 + 2254*b340*b389 + 3910*b340*b390 + 3864*
    b340*b391 + 1748*b340*b392 + 1886*b340*b393 + 2576*b340*b394 + 1794*b340*
    b395 + 2438*b340*b396 + 3542*b340*b397 + 2300*b340*b398 + 2208*b340*b399 + 
    256*b340*b400 + 352*b340*b401 + 480*b340*b402 + 416*b340*b403 + 64*b340*
    b404 + 704*b340*b405 + 2496*b340*b407 + 2912*b340*b408 + 416*b340*b409 + 
    1888*b340*b410 + 1568*b340*b411 + 2720*b340*b412 + 2688*b340*b413 + 1216*
    b340*b414 + 1312*b340*b415 + 1792*b340*b416 + 1248*b340*b417 + 1696*b340*
    b418 + 2464*b340*b419 + 1600*b340*b420 + 9522*b340*b421 + 1104*b340*b422 + 
    1518*b340*b423 + 2070*b340*b424 + 1794*b340*b425 + 276*b340*b426 + 3036*
    b340*b427 + 10764*b340*b429 + 12558*b340*b430 + 1794*b340*b431 + 8142*b340*
    b432 + 6762*b340*b433 + 11730*b340*b434 + 11592*b340*b435 + 5244*b340*b436
     + 5658*b340*b437 + 7728*b340*b438 + 5382*b340*b439 + 7314*b340*b440 + 
    10626*b340*b441 + 6900*b340*b442 + 13386*b340*b443 + 1552*b340*b444 + 2134*
    b340*b445 + 2910*b340*b446 + 2522*b340*b447 + 388*b340*b448 + 4268*b340*
    b449 + 15132*b340*b451 + 17654*b340*b452 + 2522*b340*b453 + 11446*b340*b454
     + 9506*b340*b455 + 16490*b340*b456 + 16296*b340*b457 + 7372*b340*b458 + 
    7954*b340*b459 + 10864*b340*b460 + 7566*b340*b461 + 10282*b340*b462 + 14938
    *b340*b463 + 9700*b340*b464 + 1794*b340*b465 + 208*b340*b466 + 286*b340*
    b467 + 390*b340*b468 + 338*b340*b469 + 52*b340*b470 + 572*b340*b471 + 2028*
    b340*b473 + 2366*b340*b474 + 338*b340*b475 + 1534*b340*b476 + 1274*b340*
    b477 + 2210*b340*b478 + 2184*b340*b479 + 988*b340*b480 + 1066*b340*b481 + 
    1456*b340*b482 + 1014*b340*b483 + 1378*b340*b484 + 2002*b340*b485 + 1300*
    b340*b486 + 4830*b340*b487 + 560*b340*b488 + 770*b340*b489 + 1050*b340*b490
     + 910*b340*b491 + 140*b340*b492 + 1540*b340*b493 + 5460*b340*b495 + 6370*
    b340*b496 + 910*b340*b497 + 4130*b340*b498 + 3430*b340*b499 + 5950*b340*
    b500 + 5880*b340*b501 + 2660*b340*b502 + 2870*b340*b503 + 3920*b340*b504 + 
    2730*b340*b505 + 3710*b340*b506 + 5390*b340*b507 + 3500*b340*b508 + 11040*
    b340*b509 + 1280*b340*b510 + 1760*b340*b511 + 2400*b340*b512 + 2080*b340*
    b513 + 320*b340*b514 + 3520*b340*b515 + 12480*b340*b517 + 14560*b340*b518
     + 2080*b340*b519 + 9440*b340*b520 + 7840*b340*b521 + 13600*b340*b522 + 
    13440*b340*b523 + 6080*b340*b524 + 6560*b340*b525 + 8960*b340*b526 + 6240*
    b340*b527 + 8480*b340*b528 + 12320*b340*b529 + 8000*b340*b530 + 180*b340*
    b531 + 144*b340*b532 + 540*b340*b533 + 620*b340*b534 + 496*b340*b535 + 1860
    *b340*b536 + 1880*b340*b537 + 1504*b340*b538 + 5640*b340*b539 + 1640*b340*
    b540 + 1312*b340*b541 + 4920*b340*b542 + 1280*b340*b543 + 1024*b340*b544 + 
    3840*b340*b545 + 480*b340*b546 + 384*b340*b547 + 1440*b340*b548 + 1980*b340
    *b549 + 1584*b340*b550 + 5940*b340*b551 + 1980*b340*b552 + 1584*b340*b553
     + 5940*b340*b554 + 1040*b340*b555 + 832*b340*b556 + 3120*b340*b557 + 380*
    b340*b558 + 304*b340*b559 + 1140*b340*b560 + 1280*b340*b561 + 1024*b340*
    b562 + 3840*b340*b563 + 1980*b340*b564 + 1584*b340*b565 + 5940*b340*b566 + 
    400*b340*b567 + 320*b340*b568 + 1200*b340*b569 + 1660*b340*b570 + 1328*b340
    *b571 + 4980*b340*b572 + 660*b340*b576 + 528*b340*b577 + 1980*b340*b578 + 
    460*b340*b579 + 368*b340*b580 + 1380*b340*b581 + 320*b340*b582 + 256*b340*
    b583 + 960*b340*b584 + 1380*b340*b585 + 1104*b340*b586 + 4140*b340*b587 + 
    1940*b340*b588 + 1552*b340*b589 + 5820*b340*b590 + 260*b340*b591 + 208*b340
    *b592 + 780*b340*b593 + 700*b340*b594 + 560*b340*b595 + 2100*b340*b596 + 
    1600*b340*b597 + 1280*b340*b598 + 4800*b340*b599 + 784*b340*b600 + 1078*
    b340*b601 + 1470*b340*b602 + 1274*b340*b603 + 196*b340*b604 + 2156*b340*
    b605 + 7644*b340*b607 + 8918*b340*b608 + 1274*b340*b609 + 5782*b340*b610 + 
    4802*b340*b611 + 8330*b340*b612 + 8232*b340*b613 + 784*b340*b614 + 3724*
    b340*b615 + 4018*b340*b616 + 5488*b340*b617 + 3822*b340*b618 + 5194*b340*
    b619 + 7546*b340*b620 + 4900*b340*b621 + 2940*b340*b622 + 6762*b340*b623 + 
    40*b340*b624 + 32*b340*b625 + 120*b340*b626 + 3696*b341*b355 + 5082*b341*
    b356 + 1320*b341*b357 + 5478*b341*b358 + 1914*b341*b359 + 3960*b341*b360 + 
    3762*b341*b361 + 5148*b341*b362 + 3828*b341*b364 + 3630*b341*b365 + 1254*
    b341*b366 + 5610*b341*b367 + 3432*b341*b368 + 2244*b341*b369 + 2640*b341*
    b370 + 4554*b341*b371 + 792*b341*b372 + 5610*b341*b373 + 4752*b341*b374 + 
    462*b341*b375 + 3234*b341*b376 + 2576*b341*b377 + 3542*b341*b378 + 920*b341
    *b379 + 3818*b341*b380 + 1334*b341*b381 + 2760*b341*b382 + 2622*b341*b383
     + 3588*b341*b384 + 2668*b341*b386 + 2530*b341*b387 + 874*b341*b388 + 3910*
    b341*b389 + 2392*b341*b390 + 1564*b341*b391 + 1840*b341*b392 + 3174*b341*
    b393 + 552*b341*b394 + 3910*b341*b395 + 3312*b341*b396 + 322*b341*b397 + 
    2254*b341*b398 + 1792*b341*b399 + 2464*b341*b400 + 640*b341*b401 + 2656*
    b341*b402 + 928*b341*b403 + 1920*b341*b404 + 1824*b341*b405 + 2496*b341*
    b406 + 1856*b341*b408 + 1760*b341*b409 + 608*b341*b410 + 2720*b341*b411 + 
    1664*b341*b412 + 1088*b341*b413 + 1280*b341*b414 + 2208*b341*b415 + 384*
    b341*b416 + 2720*b341*b417 + 2304*b341*b418 + 224*b341*b419 + 1568*b341*
    b420 + 7728*b341*b421 + 10626*b341*b422 + 2760*b341*b423 + 11454*b341*b424
     + 4002*b341*b425 + 8280*b341*b426 + 7866*b341*b427 + 10764*b341*b428 + 
    8004*b341*b430 + 7590*b341*b431 + 2622*b341*b432 + 11730*b341*b433 + 7176*
    b341*b434 + 4692*b341*b435 + 5520*b341*b436 + 9522*b341*b437 + 1656*b341*
    b438 + 11730*b341*b439 + 9936*b341*b440 + 966*b341*b441 + 6762*b341*b442 + 
    10864*b341*b443 + 14938*b341*b444 + 3880*b341*b445 + 16102*b341*b446 + 5626
    *b341*b447 + 11640*b341*b448 + 11058*b341*b449 + 15132*b341*b450 + 11252*
    b341*b452 + 10670*b341*b453 + 3686*b341*b454 + 16490*b341*b455 + 10088*b341
    *b456 + 6596*b341*b457 + 7760*b341*b458 + 13386*b341*b459 + 2328*b341*b460
     + 16490*b341*b461 + 13968*b341*b462 + 1358*b341*b463 + 9506*b341*b464 + 
    1456*b341*b465 + 2002*b341*b466 + 520*b341*b467 + 2158*b341*b468 + 754*b341
    *b469 + 1560*b341*b470 + 1482*b341*b471 + 2028*b341*b472 + 1508*b341*b474
     + 1430*b341*b475 + 494*b341*b476 + 2210*b341*b477 + 1352*b341*b478 + 884*
    b341*b479 + 1040*b341*b480 + 1794*b341*b481 + 312*b341*b482 + 2210*b341*
    b483 + 1872*b341*b484 + 182*b341*b485 + 1274*b341*b486 + 3920*b341*b487 + 
    5390*b341*b488 + 1400*b341*b489 + 5810*b341*b490 + 2030*b341*b491 + 4200*
    b341*b492 + 3990*b341*b493 + 5460*b341*b494 + 4060*b341*b496 + 3850*b341*
    b497 + 1330*b341*b498 + 5950*b341*b499 + 3640*b341*b500 + 2380*b341*b501 + 
    2800*b341*b502 + 4830*b341*b503 + 840*b341*b504 + 5950*b341*b505 + 5040*
    b341*b506 + 490*b341*b507 + 3430*b341*b508 + 8960*b341*b509 + 12320*b341*
    b510 + 3200*b341*b511 + 13280*b341*b512 + 4640*b341*b513 + 9600*b341*b514
     + 9120*b341*b515 + 12480*b341*b516 + 9280*b341*b518 + 8800*b341*b519 + 
    3040*b341*b520 + 13600*b341*b521 + 8320*b341*b522 + 5440*b341*b523 + 6400*
    b341*b524 + 11040*b341*b525 + 1920*b341*b526 + 13600*b341*b527 + 11520*b341
    *b528 + 1120*b341*b529 + 7840*b341*b530 + 72*b341*b531 + 954*b341*b532 + 
    828*b341*b533 + 248*b341*b534 + 3286*b341*b535 + 2852*b341*b536 + 752*b341*
    b537 + 9964*b341*b538 + 8648*b341*b539 + 656*b341*b540 + 8692*b341*b541 + 
    7544*b341*b542 + 512*b341*b543 + 6784*b341*b544 + 5888*b341*b545 + 192*b341
    *b546 + 2544*b341*b547 + 2208*b341*b548 + 792*b341*b549 + 10494*b341*b550
     + 9108*b341*b551 + 792*b341*b552 + 10494*b341*b553 + 9108*b341*b554 + 416*
    b341*b555 + 5512*b341*b556 + 4784*b341*b557 + 152*b341*b558 + 2014*b341*
    b559 + 1748*b341*b560 + 512*b341*b561 + 6784*b341*b562 + 5888*b341*b563 + 
    792*b341*b564 + 10494*b341*b565 + 9108*b341*b566 + 160*b341*b567 + 2120*
    b341*b568 + 1840*b341*b569 + 664*b341*b570 + 8798*b341*b571 + 7636*b341*
    b572 + 264*b341*b576 + 3498*b341*b577 + 3036*b341*b578 + 184*b341*b579 + 
    2438*b341*b580 + 2116*b341*b581 + 128*b341*b582 + 1696*b341*b583 + 1472*
    b341*b584 + 552*b341*b585 + 7314*b341*b586 + 6348*b341*b587 + 776*b341*b588
     + 10282*b341*b589 + 8924*b341*b590 + 104*b341*b591 + 1378*b341*b592 + 1196
    *b341*b593 + 280*b341*b594 + 3710*b341*b595 + 3220*b341*b596 + 640*b341*
    b597 + 8480*b341*b598 + 7360*b341*b599 + 7546*b341*b600 + 1960*b341*b601 + 
    8134*b341*b602 + 2842*b341*b603 + 5880*b341*b604 + 5586*b341*b605 + 7644*
    b341*b606 + 5684*b341*b608 + 5390*b341*b609 + 1862*b341*b610 + 8330*b341*
    b611 + 5096*b341*b612 + 3332*b341*b613 + 5194*b341*b614 + 3920*b341*b615 + 
    6762*b341*b616 + 1176*b341*b617 + 8330*b341*b618 + 7056*b341*b619 + 686*
    b341*b620 + 4802*b341*b621 + 4508*b341*b622 + 5488*b341*b623 + 16*b341*b624
     + 212*b341*b625 + 184*b341*b626 + 5676*b342*b355 + 4884*b342*b356 + 1386*
    b342*b357 + 6336*b342*b358 + 726*b342*b359 + 4752*b342*b360 + 4158*b342*
    b361 + 6006*b342*b362 + 3828*b342*b363 + 5742*b342*b365 + 3828*b342*b366 + 
    1122*b342*b367 + 4488*b342*b368 + 1782*b342*b369 + 396*b342*b370 + 4422*
    b342*b371 + 1716*b342*b372 + 5412*b342*b373 + 2904*b342*b374 + 2310*b342*
    b375 + 198*b342*b376 + 3956*b342*b377 + 3404*b342*b378 + 966*b342*b379 + 
    4416*b342*b380 + 506*b342*b381 + 3312*b342*b382 + 2898*b342*b383 + 4186*
    b342*b384 + 2668*b342*b385 + 4002*b342*b387 + 2668*b342*b388 + 782*b342*
    b389 + 3128*b342*b390 + 1242*b342*b391 + 276*b342*b392 + 3082*b342*b393 + 
    1196*b342*b394 + 3772*b342*b395 + 2024*b342*b396 + 1610*b342*b397 + 138*
    b342*b398 + 2752*b342*b399 + 2368*b342*b400 + 672*b342*b401 + 3072*b342*
    b402 + 352*b342*b403 + 2304*b342*b404 + 2016*b342*b405 + 2912*b342*b406 + 
    1856*b342*b407 + 2784*b342*b409 + 1856*b342*b410 + 544*b342*b411 + 2176*
    b342*b412 + 864*b342*b413 + 192*b342*b414 + 2144*b342*b415 + 832*b342*b416
     + 2624*b342*b417 + 1408*b342*b418 + 1120*b342*b419 + 96*b342*b420 + 11868*
    b342*b421 + 10212*b342*b422 + 2898*b342*b423 + 13248*b342*b424 + 1518*b342*
    b425 + 9936*b342*b426 + 8694*b342*b427 + 12558*b342*b428 + 8004*b342*b429
     + 12006*b342*b431 + 8004*b342*b432 + 2346*b342*b433 + 9384*b342*b434 + 
    3726*b342*b435 + 828*b342*b436 + 9246*b342*b437 + 3588*b342*b438 + 11316*
    b342*b439 + 6072*b342*b440 + 4830*b342*b441 + 414*b342*b442 + 16684*b342*
    b443 + 14356*b342*b444 + 4074*b342*b445 + 18624*b342*b446 + 2134*b342*b447
     + 13968*b342*b448 + 12222*b342*b449 + 17654*b342*b450 + 11252*b342*b451 + 
    16878*b342*b453 + 11252*b342*b454 + 3298*b342*b455 + 13192*b342*b456 + 5238
    *b342*b457 + 1164*b342*b458 + 12998*b342*b459 + 5044*b342*b460 + 15908*b342
    *b461 + 8536*b342*b462 + 6790*b342*b463 + 582*b342*b464 + 2236*b342*b465 + 
    1924*b342*b466 + 546*b342*b467 + 2496*b342*b468 + 286*b342*b469 + 1872*b342
    *b470 + 1638*b342*b471 + 2366*b342*b472 + 1508*b342*b473 + 2262*b342*b475
     + 1508*b342*b476 + 442*b342*b477 + 1768*b342*b478 + 702*b342*b479 + 156*
    b342*b480 + 1742*b342*b481 + 676*b342*b482 + 2132*b342*b483 + 1144*b342*
    b484 + 910*b342*b485 + 78*b342*b486 + 6020*b342*b487 + 5180*b342*b488 + 
    1470*b342*b489 + 6720*b342*b490 + 770*b342*b491 + 5040*b342*b492 + 4410*
    b342*b493 + 6370*b342*b494 + 4060*b342*b495 + 6090*b342*b497 + 4060*b342*
    b498 + 1190*b342*b499 + 4760*b342*b500 + 1890*b342*b501 + 420*b342*b502 + 
    4690*b342*b503 + 1820*b342*b504 + 5740*b342*b505 + 3080*b342*b506 + 2450*
    b342*b507 + 210*b342*b508 + 13760*b342*b509 + 11840*b342*b510 + 3360*b342*
    b511 + 15360*b342*b512 + 1760*b342*b513 + 11520*b342*b514 + 10080*b342*b515
     + 14560*b342*b516 + 9280*b342*b517 + 13920*b342*b519 + 9280*b342*b520 + 
    2720*b342*b521 + 10880*b342*b522 + 4320*b342*b523 + 960*b342*b524 + 10720*
    b342*b525 + 4160*b342*b526 + 13120*b342*b527 + 7040*b342*b528 + 5600*b342*
    b529 + 480*b342*b530 + 1134*b342*b531 + 378*b342*b532 + 1116*b342*b533 + 
    3906*b342*b534 + 1302*b342*b535 + 3844*b342*b536 + 11844*b342*b537 + 3948*
    b342*b538 + 11656*b342*b539 + 10332*b342*b540 + 3444*b342*b541 + 10168*b342
    *b542 + 8064*b342*b543 + 2688*b342*b544 + 7936*b342*b545 + 3024*b342*b546
     + 1008*b342*b547 + 2976*b342*b548 + 12474*b342*b549 + 4158*b342*b550 + 
    12276*b342*b551 + 12474*b342*b552 + 4158*b342*b553 + 12276*b342*b554 + 6552
    *b342*b555 + 2184*b342*b556 + 6448*b342*b557 + 2394*b342*b558 + 798*b342*
    b559 + 2356*b342*b560 + 8064*b342*b561 + 2688*b342*b562 + 7936*b342*b563 + 
    12474*b342*b564 + 4158*b342*b565 + 12276*b342*b566 + 2520*b342*b567 + 840*
    b342*b568 + 2480*b342*b569 + 10458*b342*b570 + 3486*b342*b571 + 10292*b342*
    b572 + 4158*b342*b576 + 1386*b342*b577 + 4092*b342*b578 + 2898*b342*b579 + 
    966*b342*b580 + 2852*b342*b581 + 2016*b342*b582 + 672*b342*b583 + 1984*b342
    *b584 + 8694*b342*b585 + 2898*b342*b586 + 8556*b342*b587 + 12222*b342*b588
     + 4074*b342*b589 + 12028*b342*b590 + 1638*b342*b591 + 546*b342*b592 + 1612
    *b342*b593 + 4410*b342*b594 + 1470*b342*b595 + 4340*b342*b596 + 10080*b342*
    b597 + 3360*b342*b598 + 9920*b342*b599 + 7252*b342*b600 + 2058*b342*b601 + 
    9408*b342*b602 + 1078*b342*b603 + 7056*b342*b604 + 6174*b342*b605 + 8918*
    b342*b606 + 5684*b342*b607 + 8526*b342*b609 + 5684*b342*b610 + 1666*b342*
    b611 + 6664*b342*b612 + 2646*b342*b613 + 2058*b342*b614 + 588*b342*b615 + 
    6566*b342*b616 + 2548*b342*b617 + 8036*b342*b618 + 4312*b342*b619 + 3430*
    b342*b620 + 294*b342*b621 + 6076*b342*b622 + 8428*b342*b623 + 252*b342*b624
     + 84*b342*b625 + 248*b342*b626 + 2970*b343*b355 + 1980*b343*b356 + 4026*
    b343*b357 + 4884*b343*b358 + 5082*b343*b359 + 4884*b343*b360 + 396*b343*
    b361 + 858*b343*b362 + 3630*b343*b363 + 5742*b343*b364 + 528*b343*b366 + 
    3366*b343*b367 + 66*b343*b368 + 6006*b343*b369 + 5742*b343*b370 + 4752*b343
    *b371 + 2970*b343*b372 + 6336*b343*b373 + 462*b343*b374 + 5742*b343*b375 + 
    4488*b343*b376 + 2070*b343*b377 + 1380*b343*b378 + 2806*b343*b379 + 3404*
    b343*b380 + 3542*b343*b381 + 3404*b343*b382 + 276*b343*b383 + 598*b343*b384
     + 2530*b343*b385 + 4002*b343*b386 + 368*b343*b388 + 2346*b343*b389 + 46*
    b343*b390 + 4186*b343*b391 + 4002*b343*b392 + 3312*b343*b393 + 2070*b343*
    b394 + 4416*b343*b395 + 322*b343*b396 + 4002*b343*b397 + 3128*b343*b398 + 
    1440*b343*b399 + 960*b343*b400 + 1952*b343*b401 + 2368*b343*b402 + 2464*
    b343*b403 + 2368*b343*b404 + 192*b343*b405 + 416*b343*b406 + 1760*b343*b407
     + 2784*b343*b408 + 256*b343*b410 + 1632*b343*b411 + 32*b343*b412 + 2912*
    b343*b413 + 2784*b343*b414 + 2304*b343*b415 + 1440*b343*b416 + 3072*b343*
    b417 + 224*b343*b418 + 2784*b343*b419 + 2176*b343*b420 + 6210*b343*b421 + 
    4140*b343*b422 + 8418*b343*b423 + 10212*b343*b424 + 10626*b343*b425 + 10212
    *b343*b426 + 828*b343*b427 + 1794*b343*b428 + 7590*b343*b429 + 12006*b343*
    b430 + 1104*b343*b432 + 7038*b343*b433 + 138*b343*b434 + 12558*b343*b435 + 
    12006*b343*b436 + 9936*b343*b437 + 6210*b343*b438 + 13248*b343*b439 + 966*
    b343*b440 + 12006*b343*b441 + 9384*b343*b442 + 8730*b343*b443 + 5820*b343*
    b444 + 11834*b343*b445 + 14356*b343*b446 + 14938*b343*b447 + 14356*b343*
    b448 + 1164*b343*b449 + 2522*b343*b450 + 10670*b343*b451 + 16878*b343*b452
     + 1552*b343*b454 + 9894*b343*b455 + 194*b343*b456 + 17654*b343*b457 + 
    16878*b343*b458 + 13968*b343*b459 + 8730*b343*b460 + 18624*b343*b461 + 1358
    *b343*b462 + 16878*b343*b463 + 13192*b343*b464 + 1170*b343*b465 + 780*b343*
    b466 + 1586*b343*b467 + 1924*b343*b468 + 2002*b343*b469 + 1924*b343*b470 + 
    156*b343*b471 + 338*b343*b472 + 1430*b343*b473 + 2262*b343*b474 + 208*b343*
    b476 + 1326*b343*b477 + 26*b343*b478 + 2366*b343*b479 + 2262*b343*b480 + 
    1872*b343*b481 + 1170*b343*b482 + 2496*b343*b483 + 182*b343*b484 + 2262*
    b343*b485 + 1768*b343*b486 + 3150*b343*b487 + 2100*b343*b488 + 4270*b343*
    b489 + 5180*b343*b490 + 5390*b343*b491 + 5180*b343*b492 + 420*b343*b493 + 
    910*b343*b494 + 3850*b343*b495 + 6090*b343*b496 + 560*b343*b498 + 3570*b343
    *b499 + 70*b343*b500 + 6370*b343*b501 + 6090*b343*b502 + 5040*b343*b503 + 
    3150*b343*b504 + 6720*b343*b505 + 490*b343*b506 + 6090*b343*b507 + 4760*
    b343*b508 + 7200*b343*b509 + 4800*b343*b510 + 9760*b343*b511 + 11840*b343*
    b512 + 12320*b343*b513 + 11840*b343*b514 + 960*b343*b515 + 2080*b343*b516
     + 8800*b343*b517 + 13920*b343*b518 + 1280*b343*b520 + 8160*b343*b521 + 160
    *b343*b522 + 14560*b343*b523 + 13920*b343*b524 + 11520*b343*b525 + 7200*
    b343*b526 + 15360*b343*b527 + 1120*b343*b528 + 13920*b343*b529 + 10880*b343
    *b530 + 108*b343*b531 + 702*b343*b532 + 594*b343*b533 + 372*b343*b534 + 
    2418*b343*b535 + 2046*b343*b536 + 1128*b343*b537 + 7332*b343*b538 + 6204*
    b343*b539 + 984*b343*b540 + 6396*b343*b541 + 5412*b343*b542 + 768*b343*b543
     + 4992*b343*b544 + 4224*b343*b545 + 288*b343*b546 + 1872*b343*b547 + 1584*
    b343*b548 + 1188*b343*b549 + 7722*b343*b550 + 6534*b343*b551 + 1188*b343*
    b552 + 7722*b343*b553 + 6534*b343*b554 + 624*b343*b555 + 4056*b343*b556 + 
    3432*b343*b557 + 228*b343*b558 + 1482*b343*b559 + 1254*b343*b560 + 768*b343
    *b561 + 4992*b343*b562 + 4224*b343*b563 + 1188*b343*b564 + 7722*b343*b565
     + 6534*b343*b566 + 240*b343*b567 + 1560*b343*b568 + 1320*b343*b569 + 996*
    b343*b570 + 6474*b343*b571 + 5478*b343*b572 + 396*b343*b576 + 2574*b343*
    b577 + 2178*b343*b578 + 276*b343*b579 + 1794*b343*b580 + 1518*b343*b581 + 
    192*b343*b582 + 1248*b343*b583 + 1056*b343*b584 + 828*b343*b585 + 5382*b343
    *b586 + 4554*b343*b587 + 1164*b343*b588 + 7566*b343*b589 + 6402*b343*b590
     + 156*b343*b591 + 1014*b343*b592 + 858*b343*b593 + 420*b343*b594 + 2730*
    b343*b595 + 2310*b343*b596 + 960*b343*b597 + 6240*b343*b598 + 5280*b343*
    b599 + 2940*b343*b600 + 5978*b343*b601 + 7252*b343*b602 + 7546*b343*b603 + 
    7252*b343*b604 + 588*b343*b605 + 1274*b343*b606 + 5390*b343*b607 + 8526*
    b343*b608 + 784*b343*b610 + 4998*b343*b611 + 98*b343*b612 + 8918*b343*b613
     + 3822*b343*b614 + 8526*b343*b615 + 7056*b343*b616 + 4410*b343*b617 + 9408
    *b343*b618 + 686*b343*b619 + 8526*b343*b620 + 6664*b343*b621 + 3234*b343*
    b622 + 4410*b343*b623 + 24*b343*b624 + 156*b343*b625 + 132*b343*b626 + 6006
    *b344*b355 + 5874*b344*b356 + 5280*b344*b357 + 2970*b344*b358 + 2112*b344*
    b359 + 3036*b344*b360 + 3894*b344*b362 + 1254*b344*b363 + 3828*b344*b364 + 
    528*b344*b365 + 198*b344*b367 + 1386*b344*b368 + 5940*b344*b369 + 3102*b344
    *b370 + 1650*b344*b371 + 1980*b344*b372 + 2838*b344*b373 + 6402*b344*b374
     + 2178*b344*b375 + 2310*b344*b376 + 4186*b344*b377 + 4094*b344*b378 + 3680
    *b344*b379 + 2070*b344*b380 + 1472*b344*b381 + 2116*b344*b382 + 2714*b344*
    b384 + 874*b344*b385 + 2668*b344*b386 + 368*b344*b387 + 138*b344*b389 + 966
    *b344*b390 + 4140*b344*b391 + 2162*b344*b392 + 1150*b344*b393 + 1380*b344*
    b394 + 1978*b344*b395 + 4462*b344*b396 + 1518*b344*b397 + 1610*b344*b398 + 
    2912*b344*b399 + 2848*b344*b400 + 2560*b344*b401 + 1440*b344*b402 + 1024*
    b344*b403 + 1472*b344*b404 + 1888*b344*b406 + 608*b344*b407 + 1856*b344*
    b408 + 256*b344*b409 + 96*b344*b411 + 672*b344*b412 + 2880*b344*b413 + 1504
    *b344*b414 + 800*b344*b415 + 960*b344*b416 + 1376*b344*b417 + 3104*b344*
    b418 + 1056*b344*b419 + 1120*b344*b420 + 12558*b344*b421 + 12282*b344*b422
     + 11040*b344*b423 + 6210*b344*b424 + 4416*b344*b425 + 6348*b344*b426 + 
    8142*b344*b428 + 2622*b344*b429 + 8004*b344*b430 + 1104*b344*b431 + 414*
    b344*b433 + 2898*b344*b434 + 12420*b344*b435 + 6486*b344*b436 + 3450*b344*
    b437 + 4140*b344*b438 + 5934*b344*b439 + 13386*b344*b440 + 4554*b344*b441
     + 4830*b344*b442 + 17654*b344*b443 + 17266*b344*b444 + 15520*b344*b445 + 
    8730*b344*b446 + 6208*b344*b447 + 8924*b344*b448 + 11446*b344*b450 + 3686*
    b344*b451 + 11252*b344*b452 + 1552*b344*b453 + 582*b344*b455 + 4074*b344*
    b456 + 17460*b344*b457 + 9118*b344*b458 + 4850*b344*b459 + 5820*b344*b460
     + 8342*b344*b461 + 18818*b344*b462 + 6402*b344*b463 + 6790*b344*b464 + 
    2366*b344*b465 + 2314*b344*b466 + 2080*b344*b467 + 1170*b344*b468 + 832*
    b344*b469 + 1196*b344*b470 + 1534*b344*b472 + 494*b344*b473 + 1508*b344*
    b474 + 208*b344*b475 + 78*b344*b477 + 546*b344*b478 + 2340*b344*b479 + 1222
    *b344*b480 + 650*b344*b481 + 780*b344*b482 + 1118*b344*b483 + 2522*b344*
    b484 + 858*b344*b485 + 910*b344*b486 + 6370*b344*b487 + 6230*b344*b488 + 
    5600*b344*b489 + 3150*b344*b490 + 2240*b344*b491 + 3220*b344*b492 + 4130*
    b344*b494 + 1330*b344*b495 + 4060*b344*b496 + 560*b344*b497 + 210*b344*b499
     + 1470*b344*b500 + 6300*b344*b501 + 3290*b344*b502 + 1750*b344*b503 + 2100
    *b344*b504 + 3010*b344*b505 + 6790*b344*b506 + 2310*b344*b507 + 2450*b344*
    b508 + 14560*b344*b509 + 14240*b344*b510 + 12800*b344*b511 + 7200*b344*b512
     + 5120*b344*b513 + 7360*b344*b514 + 9440*b344*b516 + 3040*b344*b517 + 9280
    *b344*b518 + 1280*b344*b519 + 480*b344*b521 + 3360*b344*b522 + 14400*b344*
    b523 + 7520*b344*b524 + 4000*b344*b525 + 4800*b344*b526 + 6880*b344*b527 + 
    15520*b344*b528 + 5280*b344*b529 + 5600*b344*b530 + 792*b344*b531 + 810*
    b344*b532 + 1098*b344*b533 + 2728*b344*b534 + 2790*b344*b535 + 3782*b344*
    b536 + 8272*b344*b537 + 8460*b344*b538 + 11468*b344*b539 + 7216*b344*b540
     + 7380*b344*b541 + 10004*b344*b542 + 5632*b344*b543 + 5760*b344*b544 + 
    7808*b344*b545 + 2112*b344*b546 + 2160*b344*b547 + 2928*b344*b548 + 8712*
    b344*b549 + 8910*b344*b550 + 12078*b344*b551 + 8712*b344*b552 + 8910*b344*
    b553 + 12078*b344*b554 + 4576*b344*b555 + 4680*b344*b556 + 6344*b344*b557
     + 1672*b344*b558 + 1710*b344*b559 + 2318*b344*b560 + 5632*b344*b561 + 5760
    *b344*b562 + 7808*b344*b563 + 8712*b344*b564 + 8910*b344*b565 + 12078*b344*
    b566 + 1760*b344*b567 + 1800*b344*b568 + 2440*b344*b569 + 7304*b344*b570 + 
    7470*b344*b571 + 10126*b344*b572 + 2904*b344*b576 + 2970*b344*b577 + 4026*
    b344*b578 + 2024*b344*b579 + 2070*b344*b580 + 2806*b344*b581 + 1408*b344*
    b582 + 1440*b344*b583 + 1952*b344*b584 + 6072*b344*b585 + 6210*b344*b586 + 
    8418*b344*b587 + 8536*b344*b588 + 8730*b344*b589 + 11834*b344*b590 + 1144*
    b344*b591 + 1170*b344*b592 + 1586*b344*b593 + 3080*b344*b594 + 3150*b344*
    b595 + 4270*b344*b596 + 7040*b344*b597 + 7200*b344*b598 + 9760*b344*b599 + 
    8722*b344*b600 + 7840*b344*b601 + 4410*b344*b602 + 3136*b344*b603 + 4508*
    b344*b604 + 5782*b344*b606 + 1862*b344*b607 + 5684*b344*b608 + 784*b344*
    b609 + 294*b344*b611 + 2058*b344*b612 + 8820*b344*b613 + 4410*b344*b614 + 
    4606*b344*b615 + 2450*b344*b616 + 2940*b344*b617 + 4214*b344*b618 + 9506*
    b344*b619 + 3234*b344*b620 + 3430*b344*b621 + 5978*b344*b622 + 8918*b344*
    b623 + 176*b344*b624 + 180*b344*b625 + 244*b344*b626 + 3894*b345*b355 + 
    5016*b345*b356 + 3828*b345*b357 + 4290*b345*b358 + 5742*b345*b359 + 858*
    b345*b360 + 4092*b345*b361 + 3234*b345*b362 + 5610*b345*b363 + 1122*b345*
    b364 + 3366*b345*b365 + 198*b345*b366 + 2772*b345*b368 + 2376*b345*b369 + 
    462*b345*b370 + 5544*b345*b371 + 396*b345*b372 + 3168*b345*b375 + 4092*b345
    *b376 + 2714*b345*b377 + 3496*b345*b378 + 2668*b345*b379 + 2990*b345*b380
     + 4002*b345*b381 + 598*b345*b382 + 2852*b345*b383 + 2254*b345*b384 + 3910*
    b345*b385 + 782*b345*b386 + 2346*b345*b387 + 138*b345*b388 + 1932*b345*b390
     + 1656*b345*b391 + 322*b345*b392 + 3864*b345*b393 + 276*b345*b394 + 2208*
    b345*b397 + 2852*b345*b398 + 1888*b345*b399 + 2432*b345*b400 + 1856*b345*
    b401 + 2080*b345*b402 + 2784*b345*b403 + 416*b345*b404 + 1984*b345*b405 + 
    1568*b345*b406 + 2720*b345*b407 + 544*b345*b408 + 1632*b345*b409 + 96*b345*
    b410 + 1344*b345*b412 + 1152*b345*b413 + 224*b345*b414 + 2688*b345*b415 + 
    192*b345*b416 + 1536*b345*b419 + 1984*b345*b420 + 8142*b345*b421 + 10488*
    b345*b422 + 8004*b345*b423 + 8970*b345*b424 + 12006*b345*b425 + 1794*b345*
    b426 + 8556*b345*b427 + 6762*b345*b428 + 11730*b345*b429 + 2346*b345*b430
     + 7038*b345*b431 + 414*b345*b432 + 5796*b345*b434 + 4968*b345*b435 + 966*
    b345*b436 + 11592*b345*b437 + 828*b345*b438 + 6624*b345*b441 + 8556*b345*
    b442 + 11446*b345*b443 + 14744*b345*b444 + 11252*b345*b445 + 12610*b345*
    b446 + 16878*b345*b447 + 2522*b345*b448 + 12028*b345*b449 + 9506*b345*b450
     + 16490*b345*b451 + 3298*b345*b452 + 9894*b345*b453 + 582*b345*b454 + 8148
    *b345*b456 + 6984*b345*b457 + 1358*b345*b458 + 16296*b345*b459 + 1164*b345*
    b460 + 9312*b345*b463 + 12028*b345*b464 + 1534*b345*b465 + 1976*b345*b466
     + 1508*b345*b467 + 1690*b345*b468 + 2262*b345*b469 + 338*b345*b470 + 1612*
    b345*b471 + 1274*b345*b472 + 2210*b345*b473 + 442*b345*b474 + 1326*b345*
    b475 + 78*b345*b476 + 1092*b345*b478 + 936*b345*b479 + 182*b345*b480 + 2184
    *b345*b481 + 156*b345*b482 + 1248*b345*b485 + 1612*b345*b486 + 4130*b345*
    b487 + 5320*b345*b488 + 4060*b345*b489 + 4550*b345*b490 + 6090*b345*b491 + 
    910*b345*b492 + 4340*b345*b493 + 3430*b345*b494 + 5950*b345*b495 + 1190*
    b345*b496 + 3570*b345*b497 + 210*b345*b498 + 2940*b345*b500 + 2520*b345*
    b501 + 490*b345*b502 + 5880*b345*b503 + 420*b345*b504 + 3360*b345*b507 + 
    4340*b345*b508 + 9440*b345*b509 + 12160*b345*b510 + 9280*b345*b511 + 10400*
    b345*b512 + 13920*b345*b513 + 2080*b345*b514 + 9920*b345*b515 + 7840*b345*
    b516 + 13600*b345*b517 + 2720*b345*b518 + 8160*b345*b519 + 480*b345*b520 + 
    6720*b345*b522 + 5760*b345*b523 + 1120*b345*b524 + 13440*b345*b525 + 960*
    b345*b526 + 7680*b345*b529 + 9920*b345*b530 + 720*b345*b531 + 774*b345*b532
     + 1062*b345*b533 + 2480*b345*b534 + 2666*b345*b535 + 3658*b345*b536 + 7520
    *b345*b537 + 8084*b345*b538 + 11092*b345*b539 + 6560*b345*b540 + 7052*b345*
    b541 + 9676*b345*b542 + 5120*b345*b543 + 5504*b345*b544 + 7552*b345*b545 + 
    1920*b345*b546 + 2064*b345*b547 + 2832*b345*b548 + 7920*b345*b549 + 8514*
    b345*b550 + 11682*b345*b551 + 7920*b345*b552 + 8514*b345*b553 + 11682*b345*
    b554 + 4160*b345*b555 + 4472*b345*b556 + 6136*b345*b557 + 1520*b345*b558 + 
    1634*b345*b559 + 2242*b345*b560 + 5120*b345*b561 + 5504*b345*b562 + 7552*
    b345*b563 + 7920*b345*b564 + 8514*b345*b565 + 11682*b345*b566 + 1600*b345*
    b567 + 1720*b345*b568 + 2360*b345*b569 + 6640*b345*b570 + 7138*b345*b571 + 
    9794*b345*b572 + 2640*b345*b576 + 2838*b345*b577 + 3894*b345*b578 + 1840*
    b345*b579 + 1978*b345*b580 + 2714*b345*b581 + 1280*b345*b582 + 1376*b345*
    b583 + 1888*b345*b584 + 5520*b345*b585 + 5934*b345*b586 + 8142*b345*b587 + 
    7760*b345*b588 + 8342*b345*b589 + 11446*b345*b590 + 1040*b345*b591 + 1118*
    b345*b592 + 1534*b345*b593 + 2800*b345*b594 + 3010*b345*b595 + 4130*b345*
    b596 + 6400*b345*b597 + 6880*b345*b598 + 9440*b345*b599 + 7448*b345*b600 + 
    5684*b345*b601 + 6370*b345*b602 + 8526*b345*b603 + 1274*b345*b604 + 6076*
    b345*b605 + 4802*b345*b606 + 8330*b345*b607 + 1666*b345*b608 + 4998*b345*
    b609 + 294*b345*b610 + 4116*b345*b612 + 3528*b345*b613 + 4214*b345*b614 + 
    686*b345*b615 + 8232*b345*b616 + 588*b345*b617 + 4704*b345*b620 + 6076*b345
    *b621 + 5782*b345*b622 + 5782*b345*b623 + 160*b345*b624 + 172*b345*b625 + 
    236*b345*b626 + 1188*b346*b355 + 5016*b346*b356 + 1386*b346*b357 + 2640*
    b346*b358 + 4422*b346*b359 + 1320*b346*b360 + 2706*b346*b361 + 5610*b346*
    b362 + 3432*b346*b363 + 4488*b346*b364 + 66*b346*b365 + 1386*b346*b366 + 
    2772*b346*b367 + 1914*b346*b369 + 5412*b346*b370 + 1914*b346*b371 + 198*
    b346*b372 + 198*b346*b373 + 3366*b346*b374 + 4422*b346*b375 + 2574*b346*
    b376 + 828*b346*b377 + 3496*b346*b378 + 966*b346*b379 + 1840*b346*b380 + 
    3082*b346*b381 + 920*b346*b382 + 1886*b346*b383 + 3910*b346*b384 + 2392*
    b346*b385 + 3128*b346*b386 + 46*b346*b387 + 966*b346*b388 + 1932*b346*b389
     + 1334*b346*b391 + 3772*b346*b392 + 1334*b346*b393 + 138*b346*b394 + 138*
    b346*b395 + 2346*b346*b396 + 3082*b346*b397 + 1794*b346*b398 + 576*b346*
    b399 + 2432*b346*b400 + 672*b346*b401 + 1280*b346*b402 + 2144*b346*b403 + 
    640*b346*b404 + 1312*b346*b405 + 2720*b346*b406 + 1664*b346*b407 + 2176*
    b346*b408 + 32*b346*b409 + 672*b346*b410 + 1344*b346*b411 + 928*b346*b413
     + 2624*b346*b414 + 928*b346*b415 + 96*b346*b416 + 96*b346*b417 + 1632*b346
    *b418 + 2144*b346*b419 + 1248*b346*b420 + 2484*b346*b421 + 10488*b346*b422
     + 2898*b346*b423 + 5520*b346*b424 + 9246*b346*b425 + 2760*b346*b426 + 5658
    *b346*b427 + 11730*b346*b428 + 7176*b346*b429 + 9384*b346*b430 + 138*b346*
    b431 + 2898*b346*b432 + 5796*b346*b433 + 4002*b346*b435 + 11316*b346*b436
     + 4002*b346*b437 + 414*b346*b438 + 414*b346*b439 + 7038*b346*b440 + 9246*
    b346*b441 + 5382*b346*b442 + 3492*b346*b443 + 14744*b346*b444 + 4074*b346*
    b445 + 7760*b346*b446 + 12998*b346*b447 + 3880*b346*b448 + 7954*b346*b449
     + 16490*b346*b450 + 10088*b346*b451 + 13192*b346*b452 + 194*b346*b453 + 
    4074*b346*b454 + 8148*b346*b455 + 5626*b346*b457 + 15908*b346*b458 + 5626*
    b346*b459 + 582*b346*b460 + 582*b346*b461 + 9894*b346*b462 + 12998*b346*
    b463 + 7566*b346*b464 + 468*b346*b465 + 1976*b346*b466 + 546*b346*b467 + 
    1040*b346*b468 + 1742*b346*b469 + 520*b346*b470 + 1066*b346*b471 + 2210*
    b346*b472 + 1352*b346*b473 + 1768*b346*b474 + 26*b346*b475 + 546*b346*b476
     + 1092*b346*b477 + 754*b346*b479 + 2132*b346*b480 + 754*b346*b481 + 78*
    b346*b482 + 78*b346*b483 + 1326*b346*b484 + 1742*b346*b485 + 1014*b346*b486
     + 1260*b346*b487 + 5320*b346*b488 + 1470*b346*b489 + 2800*b346*b490 + 4690
    *b346*b491 + 1400*b346*b492 + 2870*b346*b493 + 5950*b346*b494 + 3640*b346*
    b495 + 4760*b346*b496 + 70*b346*b497 + 1470*b346*b498 + 2940*b346*b499 + 
    2030*b346*b501 + 5740*b346*b502 + 2030*b346*b503 + 210*b346*b504 + 210*b346
    *b505 + 3570*b346*b506 + 4690*b346*b507 + 2730*b346*b508 + 2880*b346*b509
     + 12160*b346*b510 + 3360*b346*b511 + 6400*b346*b512 + 10720*b346*b513 + 
    3200*b346*b514 + 6560*b346*b515 + 13600*b346*b516 + 8320*b346*b517 + 10880*
    b346*b518 + 160*b346*b519 + 3360*b346*b520 + 6720*b346*b521 + 4640*b346*
    b523 + 13120*b346*b524 + 4640*b346*b525 + 480*b346*b526 + 480*b346*b527 + 
    8160*b346*b528 + 10720*b346*b529 + 6240*b346*b530 + 1350*b346*b531 + 1692*
    b346*b532 + 270*b346*b533 + 4650*b346*b534 + 5828*b346*b535 + 930*b346*b536
     + 14100*b346*b537 + 17672*b346*b538 + 2820*b346*b539 + 12300*b346*b540 + 
    15416*b346*b541 + 2460*b346*b542 + 9600*b346*b543 + 12032*b346*b544 + 1920*
    b346*b545 + 3600*b346*b546 + 4512*b346*b547 + 720*b346*b548 + 14850*b346*
    b549 + 18612*b346*b550 + 2970*b346*b551 + 14850*b346*b552 + 18612*b346*b553
     + 2970*b346*b554 + 7800*b346*b555 + 9776*b346*b556 + 1560*b346*b557 + 2850
    *b346*b558 + 3572*b346*b559 + 570*b346*b560 + 9600*b346*b561 + 12032*b346*
    b562 + 1920*b346*b563 + 14850*b346*b564 + 18612*b346*b565 + 2970*b346*b566
     + 3000*b346*b567 + 3760*b346*b568 + 600*b346*b569 + 12450*b346*b570 + 
    15604*b346*b571 + 2490*b346*b572 + 4950*b346*b576 + 6204*b346*b577 + 990*
    b346*b578 + 3450*b346*b579 + 4324*b346*b580 + 690*b346*b581 + 2400*b346*
    b582 + 3008*b346*b583 + 480*b346*b584 + 10350*b346*b585 + 12972*b346*b586
     + 2070*b346*b587 + 14550*b346*b588 + 18236*b346*b589 + 2910*b346*b590 + 
    1950*b346*b591 + 2444*b346*b592 + 390*b346*b593 + 5250*b346*b594 + 6580*
    b346*b595 + 1050*b346*b596 + 12000*b346*b597 + 15040*b346*b598 + 2400*b346*
    b599 + 7448*b346*b600 + 2058*b346*b601 + 3920*b346*b602 + 6566*b346*b603 + 
    1960*b346*b604 + 4018*b346*b605 + 8330*b346*b606 + 5096*b346*b607 + 6664*
    b346*b608 + 98*b346*b609 + 2058*b346*b610 + 4116*b346*b611 + 2842*b346*b613
     + 9212*b346*b614 + 8036*b346*b615 + 2842*b346*b616 + 294*b346*b617 + 294*
    b346*b618 + 4998*b346*b619 + 6566*b346*b620 + 3822*b346*b621 + 1470*b346*
    b622 + 1764*b346*b623 + 300*b346*b624 + 376*b346*b625 + 60*b346*b626 + 5016
    *b347*b355 + 2640*b347*b356 + 5016*b347*b357 + 3564*b347*b358 + 6204*b347*
    b359 + 5676*b347*b360 + 4092*b347*b361 + 5544*b347*b362 + 2244*b347*b363 + 
    1782*b347*b364 + 6006*b347*b365 + 5940*b347*b366 + 2376*b347*b367 + 1914*
    b347*b368 + 2772*b347*b370 + 1518*b347*b371 + 4092*b347*b372 + 4092*b347*
    b373 + 1848*b347*b374 + 5016*b347*b375 + 4356*b347*b376 + 3496*b347*b377 + 
    1840*b347*b378 + 3496*b347*b379 + 2484*b347*b380 + 4324*b347*b381 + 3956*
    b347*b382 + 2852*b347*b383 + 3864*b347*b384 + 1564*b347*b385 + 1242*b347*
    b386 + 4186*b347*b387 + 4140*b347*b388 + 1656*b347*b389 + 1334*b347*b390 + 
    1932*b347*b392 + 1058*b347*b393 + 2852*b347*b394 + 2852*b347*b395 + 1288*
    b347*b396 + 3496*b347*b397 + 3036*b347*b398 + 2432*b347*b399 + 1280*b347*
    b400 + 2432*b347*b401 + 1728*b347*b402 + 3008*b347*b403 + 2752*b347*b404 + 
    1984*b347*b405 + 2688*b347*b406 + 1088*b347*b407 + 864*b347*b408 + 2912*
    b347*b409 + 2880*b347*b410 + 1152*b347*b411 + 928*b347*b412 + 1344*b347*
    b414 + 736*b347*b415 + 1984*b347*b416 + 1984*b347*b417 + 896*b347*b418 + 
    2432*b347*b419 + 2112*b347*b420 + 10488*b347*b421 + 5520*b347*b422 + 10488*
    b347*b423 + 7452*b347*b424 + 12972*b347*b425 + 11868*b347*b426 + 8556*b347*
    b427 + 11592*b347*b428 + 4692*b347*b429 + 3726*b347*b430 + 12558*b347*b431
     + 12420*b347*b432 + 4968*b347*b433 + 4002*b347*b434 + 5796*b347*b436 + 
    3174*b347*b437 + 8556*b347*b438 + 8556*b347*b439 + 3864*b347*b440 + 10488*
    b347*b441 + 9108*b347*b442 + 14744*b347*b443 + 7760*b347*b444 + 14744*b347*
    b445 + 10476*b347*b446 + 18236*b347*b447 + 16684*b347*b448 + 12028*b347*
    b449 + 16296*b347*b450 + 6596*b347*b451 + 5238*b347*b452 + 17654*b347*b453
     + 17460*b347*b454 + 6984*b347*b455 + 5626*b347*b456 + 8148*b347*b458 + 
    4462*b347*b459 + 12028*b347*b460 + 12028*b347*b461 + 5432*b347*b462 + 14744
    *b347*b463 + 12804*b347*b464 + 1976*b347*b465 + 1040*b347*b466 + 1976*b347*
    b467 + 1404*b347*b468 + 2444*b347*b469 + 2236*b347*b470 + 1612*b347*b471 + 
    2184*b347*b472 + 884*b347*b473 + 702*b347*b474 + 2366*b347*b475 + 2340*b347
    *b476 + 936*b347*b477 + 754*b347*b478 + 1092*b347*b480 + 598*b347*b481 + 
    1612*b347*b482 + 1612*b347*b483 + 728*b347*b484 + 1976*b347*b485 + 1716*
    b347*b486 + 5320*b347*b487 + 2800*b347*b488 + 5320*b347*b489 + 3780*b347*
    b490 + 6580*b347*b491 + 6020*b347*b492 + 4340*b347*b493 + 5880*b347*b494 + 
    2380*b347*b495 + 1890*b347*b496 + 6370*b347*b497 + 6300*b347*b498 + 2520*
    b347*b499 + 2030*b347*b500 + 2940*b347*b502 + 1610*b347*b503 + 4340*b347*
    b504 + 4340*b347*b505 + 1960*b347*b506 + 5320*b347*b507 + 4620*b347*b508 + 
    12160*b347*b509 + 6400*b347*b510 + 12160*b347*b511 + 8640*b347*b512 + 15040
    *b347*b513 + 13760*b347*b514 + 9920*b347*b515 + 13440*b347*b516 + 5440*b347
    *b517 + 4320*b347*b518 + 14560*b347*b519 + 14400*b347*b520 + 5760*b347*b521
     + 4640*b347*b522 + 6720*b347*b524 + 3680*b347*b525 + 9920*b347*b526 + 9920
    *b347*b527 + 4480*b347*b528 + 12160*b347*b529 + 10560*b347*b530 + 1422*b347
    *b531 + 1188*b347*b532 + 1476*b347*b533 + 4898*b347*b534 + 4092*b347*b535
     + 5084*b347*b536 + 14852*b347*b537 + 12408*b347*b538 + 15416*b347*b539 + 
    12956*b347*b540 + 10824*b347*b541 + 13448*b347*b542 + 10112*b347*b543 + 
    8448*b347*b544 + 10496*b347*b545 + 3792*b347*b546 + 3168*b347*b547 + 3936*
    b347*b548 + 15642*b347*b549 + 13068*b347*b550 + 16236*b347*b551 + 15642*
    b347*b552 + 13068*b347*b553 + 16236*b347*b554 + 8216*b347*b555 + 6864*b347*
    b556 + 8528*b347*b557 + 3002*b347*b558 + 2508*b347*b559 + 3116*b347*b560 + 
    10112*b347*b561 + 8448*b347*b562 + 10496*b347*b563 + 15642*b347*b564 + 
    13068*b347*b565 + 16236*b347*b566 + 3160*b347*b567 + 2640*b347*b568 + 3280*
    b347*b569 + 13114*b347*b570 + 10956*b347*b571 + 13612*b347*b572 + 5214*b347
    *b576 + 4356*b347*b577 + 5412*b347*b578 + 3634*b347*b579 + 3036*b347*b580
     + 3772*b347*b581 + 2528*b347*b582 + 2112*b347*b583 + 2624*b347*b584 + 
    10902*b347*b585 + 9108*b347*b586 + 11316*b347*b587 + 15326*b347*b588 + 
    12804*b347*b589 + 15908*b347*b590 + 2054*b347*b591 + 1716*b347*b592 + 2132*
    b347*b593 + 5530*b347*b594 + 4620*b347*b595 + 5740*b347*b596 + 12640*b347*
    b597 + 10560*b347*b598 + 13120*b347*b599 + 3920*b347*b600 + 7448*b347*b601
     + 5292*b347*b602 + 9212*b347*b603 + 8428*b347*b604 + 6076*b347*b605 + 8232
    *b347*b606 + 3332*b347*b607 + 2646*b347*b608 + 8918*b347*b609 + 8820*b347*
    b610 + 3528*b347*b611 + 2842*b347*b612 + 6468*b347*b614 + 4116*b347*b615 + 
    2254*b347*b616 + 6076*b347*b617 + 6076*b347*b618 + 2744*b347*b619 + 7448*
    b347*b620 + 6468*b347*b621 + 8036*b347*b622 + 7448*b347*b623 + 316*b347*
    b624 + 264*b347*b625 + 328*b347*b626 + 1188*b348*b355 + 3696*b348*b356 + 
    2904*b348*b357 + 924*b348*b358 + 132*b348*b359 + 5082*b348*b360 + 1650*b348
    *b361 + 2508*b348*b362 + 2640*b348*b363 + 396*b348*b364 + 5742*b348*b365 + 
    3102*b348*b366 + 462*b348*b367 + 5412*b348*b368 + 2772*b348*b369 + 5676*
    b348*b371 + 3960*b348*b372 + 4092*b348*b373 + 4092*b348*b374 + 5478*b348*
    b375 + 6006*b348*b376 + 828*b348*b377 + 2576*b348*b378 + 2024*b348*b379 + 
    644*b348*b380 + 92*b348*b381 + 3542*b348*b382 + 1150*b348*b383 + 1748*b348*
    b384 + 1840*b348*b385 + 276*b348*b386 + 4002*b348*b387 + 2162*b348*b388 + 
    322*b348*b389 + 3772*b348*b390 + 1932*b348*b391 + 3956*b348*b393 + 2760*
    b348*b394 + 2852*b348*b395 + 2852*b348*b396 + 3818*b348*b397 + 4186*b348*
    b398 + 576*b348*b399 + 1792*b348*b400 + 1408*b348*b401 + 448*b348*b402 + 64
    *b348*b403 + 2464*b348*b404 + 800*b348*b405 + 1216*b348*b406 + 1280*b348*
    b407 + 192*b348*b408 + 2784*b348*b409 + 1504*b348*b410 + 224*b348*b411 + 
    2624*b348*b412 + 1344*b348*b413 + 2752*b348*b415 + 1920*b348*b416 + 1984*
    b348*b417 + 1984*b348*b418 + 2656*b348*b419 + 2912*b348*b420 + 2484*b348*
    b421 + 7728*b348*b422 + 6072*b348*b423 + 1932*b348*b424 + 276*b348*b425 + 
    10626*b348*b426 + 3450*b348*b427 + 5244*b348*b428 + 5520*b348*b429 + 828*
    b348*b430 + 12006*b348*b431 + 6486*b348*b432 + 966*b348*b433 + 11316*b348*
    b434 + 5796*b348*b435 + 11868*b348*b437 + 8280*b348*b438 + 8556*b348*b439
     + 8556*b348*b440 + 11454*b348*b441 + 12558*b348*b442 + 3492*b348*b443 + 
    10864*b348*b444 + 8536*b348*b445 + 2716*b348*b446 + 388*b348*b447 + 14938*
    b348*b448 + 4850*b348*b449 + 7372*b348*b450 + 7760*b348*b451 + 1164*b348*
    b452 + 16878*b348*b453 + 9118*b348*b454 + 1358*b348*b455 + 15908*b348*b456
     + 8148*b348*b457 + 16684*b348*b459 + 11640*b348*b460 + 12028*b348*b461 + 
    12028*b348*b462 + 16102*b348*b463 + 17654*b348*b464 + 468*b348*b465 + 1456*
    b348*b466 + 1144*b348*b467 + 364*b348*b468 + 52*b348*b469 + 2002*b348*b470
     + 650*b348*b471 + 988*b348*b472 + 1040*b348*b473 + 156*b348*b474 + 2262*
    b348*b475 + 1222*b348*b476 + 182*b348*b477 + 2132*b348*b478 + 1092*b348*
    b479 + 2236*b348*b481 + 1560*b348*b482 + 1612*b348*b483 + 1612*b348*b484 + 
    2158*b348*b485 + 2366*b348*b486 + 1260*b348*b487 + 3920*b348*b488 + 3080*
    b348*b489 + 980*b348*b490 + 140*b348*b491 + 5390*b348*b492 + 1750*b348*b493
     + 2660*b348*b494 + 2800*b348*b495 + 420*b348*b496 + 6090*b348*b497 + 3290*
    b348*b498 + 490*b348*b499 + 5740*b348*b500 + 2940*b348*b501 + 6020*b348*
    b503 + 4200*b348*b504 + 4340*b348*b505 + 4340*b348*b506 + 5810*b348*b507 + 
    6370*b348*b508 + 2880*b348*b509 + 8960*b348*b510 + 7040*b348*b511 + 2240*
    b348*b512 + 320*b348*b513 + 12320*b348*b514 + 4000*b348*b515 + 6080*b348*
    b516 + 6400*b348*b517 + 960*b348*b518 + 13920*b348*b519 + 7520*b348*b520 + 
    1120*b348*b521 + 13120*b348*b522 + 6720*b348*b523 + 13760*b348*b525 + 9600*
    b348*b526 + 9920*b348*b527 + 9920*b348*b528 + 13280*b348*b529 + 14560*b348*
    b530 + 1602*b348*b531 + 1764*b348*b532 + 1026*b348*b533 + 5518*b348*b534 + 
    6076*b348*b535 + 3534*b348*b536 + 16732*b348*b537 + 18424*b348*b538 + 10716
    *b348*b539 + 14596*b348*b540 + 16072*b348*b541 + 9348*b348*b542 + 11392*
    b348*b543 + 12544*b348*b544 + 7296*b348*b545 + 4272*b348*b546 + 4704*b348*
    b547 + 2736*b348*b548 + 17622*b348*b549 + 19404*b348*b550 + 11286*b348*b551
     + 17622*b348*b552 + 19404*b348*b553 + 11286*b348*b554 + 9256*b348*b555 + 
    10192*b348*b556 + 5928*b348*b557 + 3382*b348*b558 + 3724*b348*b559 + 2166*
    b348*b560 + 11392*b348*b561 + 12544*b348*b562 + 7296*b348*b563 + 17622*b348
    *b564 + 19404*b348*b565 + 11286*b348*b566 + 3560*b348*b567 + 3920*b348*b568
     + 2280*b348*b569 + 14774*b348*b570 + 16268*b348*b571 + 9462*b348*b572 + 
    5874*b348*b576 + 6468*b348*b577 + 3762*b348*b578 + 4094*b348*b579 + 4508*
    b348*b580 + 2622*b348*b581 + 2848*b348*b582 + 3136*b348*b583 + 1824*b348*
    b584 + 12282*b348*b585 + 13524*b348*b586 + 7866*b348*b587 + 17266*b348*b588
     + 19012*b348*b589 + 11058*b348*b590 + 2314*b348*b591 + 2548*b348*b592 + 
    1482*b348*b593 + 6230*b348*b594 + 6860*b348*b595 + 3990*b348*b596 + 14240*
    b348*b597 + 15680*b348*b598 + 9120*b348*b599 + 5488*b348*b600 + 4312*b348*
    b601 + 1372*b348*b602 + 196*b348*b603 + 7546*b348*b604 + 2450*b348*b605 + 
    3724*b348*b606 + 3920*b348*b607 + 588*b348*b608 + 8526*b348*b609 + 4606*
    b348*b610 + 686*b348*b611 + 8036*b348*b612 + 4116*b348*b613 + 9604*b348*
    b614 + 8428*b348*b616 + 5880*b348*b617 + 6076*b348*b618 + 6076*b348*b619 + 
    8134*b348*b620 + 8918*b348*b621 + 5586*b348*b622 + 1764*b348*b623 + 356*
    b348*b624 + 392*b348*b625 + 228*b348*b626 + 3762*b349*b355 + 66*b349*b356
     + 5610*b349*b357 + 4686*b349*b358 + 660*b349*b359 + 990*b349*b360 + 4950*
    b349*b361 + 2706*b349*b362 + 4554*b349*b363 + 4422*b349*b364 + 4752*b349*
    b365 + 1650*b349*b366 + 5544*b349*b367 + 1914*b349*b368 + 1518*b349*b369 + 
    5676*b349*b370 + 4092*b349*b372 + 2376*b349*b373 + 132*b349*b374 + 132*b349
    *b375 + 2838*b349*b376 + 2622*b349*b377 + 46*b349*b378 + 3910*b349*b379 + 
    3266*b349*b380 + 460*b349*b381 + 690*b349*b382 + 3450*b349*b383 + 1886*b349
    *b384 + 3174*b349*b385 + 3082*b349*b386 + 3312*b349*b387 + 1150*b349*b388
     + 3864*b349*b389 + 1334*b349*b390 + 1058*b349*b391 + 3956*b349*b392 + 2852
    *b349*b394 + 1656*b349*b395 + 92*b349*b396 + 92*b349*b397 + 1978*b349*b398
     + 1824*b349*b399 + 32*b349*b400 + 2720*b349*b401 + 2272*b349*b402 + 320*
    b349*b403 + 480*b349*b404 + 2400*b349*b405 + 1312*b349*b406 + 2208*b349*
    b407 + 2144*b349*b408 + 2304*b349*b409 + 800*b349*b410 + 2688*b349*b411 + 
    928*b349*b412 + 736*b349*b413 + 2752*b349*b414 + 1984*b349*b416 + 1152*b349
    *b417 + 64*b349*b418 + 64*b349*b419 + 1376*b349*b420 + 7866*b349*b421 + 138
    *b349*b422 + 11730*b349*b423 + 9798*b349*b424 + 1380*b349*b425 + 2070*b349*
    b426 + 10350*b349*b427 + 5658*b349*b428 + 9522*b349*b429 + 9246*b349*b430
     + 9936*b349*b431 + 3450*b349*b432 + 11592*b349*b433 + 4002*b349*b434 + 
    3174*b349*b435 + 11868*b349*b436 + 8556*b349*b438 + 4968*b349*b439 + 276*
    b349*b440 + 276*b349*b441 + 5934*b349*b442 + 11058*b349*b443 + 194*b349*
    b444 + 16490*b349*b445 + 13774*b349*b446 + 1940*b349*b447 + 2910*b349*b448
     + 14550*b349*b449 + 7954*b349*b450 + 13386*b349*b451 + 12998*b349*b452 + 
    13968*b349*b453 + 4850*b349*b454 + 16296*b349*b455 + 5626*b349*b456 + 4462*
    b349*b457 + 16684*b349*b458 + 12028*b349*b460 + 6984*b349*b461 + 388*b349*
    b462 + 388*b349*b463 + 8342*b349*b464 + 1482*b349*b465 + 26*b349*b466 + 
    2210*b349*b467 + 1846*b349*b468 + 260*b349*b469 + 390*b349*b470 + 1950*b349
    *b471 + 1066*b349*b472 + 1794*b349*b473 + 1742*b349*b474 + 1872*b349*b475
     + 650*b349*b476 + 2184*b349*b477 + 754*b349*b478 + 598*b349*b479 + 2236*
    b349*b480 + 1612*b349*b482 + 936*b349*b483 + 52*b349*b484 + 52*b349*b485 + 
    1118*b349*b486 + 3990*b349*b487 + 70*b349*b488 + 5950*b349*b489 + 4970*b349
    *b490 + 700*b349*b491 + 1050*b349*b492 + 5250*b349*b493 + 2870*b349*b494 + 
    4830*b349*b495 + 4690*b349*b496 + 5040*b349*b497 + 1750*b349*b498 + 5880*
    b349*b499 + 2030*b349*b500 + 1610*b349*b501 + 6020*b349*b502 + 4340*b349*
    b504 + 2520*b349*b505 + 140*b349*b506 + 140*b349*b507 + 3010*b349*b508 + 
    9120*b349*b509 + 160*b349*b510 + 13600*b349*b511 + 11360*b349*b512 + 1600*
    b349*b513 + 2400*b349*b514 + 12000*b349*b515 + 6560*b349*b516 + 11040*b349*
    b517 + 10720*b349*b518 + 11520*b349*b519 + 4000*b349*b520 + 13440*b349*b521
     + 4640*b349*b522 + 3680*b349*b523 + 13760*b349*b524 + 9920*b349*b526 + 
    5760*b349*b527 + 320*b349*b528 + 320*b349*b529 + 6880*b349*b530 + 630*b349*
    b531 + 630*b349*b532 + 1170*b349*b533 + 2170*b349*b534 + 2170*b349*b535 + 
    4030*b349*b536 + 6580*b349*b537 + 6580*b349*b538 + 12220*b349*b539 + 5740*
    b349*b540 + 5740*b349*b541 + 10660*b349*b542 + 4480*b349*b543 + 4480*b349*
    b544 + 8320*b349*b545 + 1680*b349*b546 + 1680*b349*b547 + 3120*b349*b548 + 
    6930*b349*b549 + 6930*b349*b550 + 12870*b349*b551 + 6930*b349*b552 + 6930*
    b349*b553 + 12870*b349*b554 + 3640*b349*b555 + 3640*b349*b556 + 6760*b349*
    b557 + 1330*b349*b558 + 1330*b349*b559 + 2470*b349*b560 + 4480*b349*b561 + 
    4480*b349*b562 + 8320*b349*b563 + 6930*b349*b564 + 6930*b349*b565 + 12870*
    b349*b566 + 1400*b349*b567 + 1400*b349*b568 + 2600*b349*b569 + 5810*b349*
    b570 + 5810*b349*b571 + 10790*b349*b572 + 2310*b349*b576 + 2310*b349*b577
     + 4290*b349*b578 + 1610*b349*b579 + 1610*b349*b580 + 2990*b349*b581 + 1120
    *b349*b582 + 1120*b349*b583 + 2080*b349*b584 + 4830*b349*b585 + 4830*b349*
    b586 + 8970*b349*b587 + 6790*b349*b588 + 6790*b349*b589 + 12610*b349*b590
     + 910*b349*b591 + 910*b349*b592 + 1690*b349*b593 + 2450*b349*b594 + 2450*
    b349*b595 + 4550*b349*b596 + 5600*b349*b597 + 5600*b349*b598 + 10400*b349*
    b599 + 98*b349*b600 + 8330*b349*b601 + 6958*b349*b602 + 980*b349*b603 + 
    1470*b349*b604 + 7350*b349*b605 + 4018*b349*b606 + 6762*b349*b607 + 6566*
    b349*b608 + 7056*b349*b609 + 2450*b349*b610 + 8232*b349*b611 + 2842*b349*
    b612 + 2254*b349*b613 + 3430*b349*b614 + 8428*b349*b615 + 6076*b349*b617 + 
    3528*b349*b618 + 196*b349*b619 + 196*b349*b620 + 4214*b349*b621 + 6370*b349
    *b622 + 5586*b349*b623 + 140*b349*b624 + 140*b349*b625 + 260*b349*b626 + 
    2376*b350*b355 + 3300*b350*b356 + 6204*b350*b357 + 5082*b350*b358 + 6534*
    b350*b359 + 5874*b350*b360 + 5016*b350*b361 + 3696*b350*b362 + 792*b350*
    b363 + 1716*b350*b364 + 2970*b350*b365 + 1980*b350*b366 + 396*b350*b367 + 
    198*b350*b368 + 4092*b350*b369 + 3960*b350*b370 + 4092*b350*b371 + 2442*
    b350*b373 + 3234*b350*b374 + 4026*b350*b375 + 330*b350*b376 + 1656*b350*
    b377 + 2300*b350*b378 + 4324*b350*b379 + 3542*b350*b380 + 4554*b350*b381 + 
    4094*b350*b382 + 3496*b350*b383 + 2576*b350*b384 + 552*b350*b385 + 1196*
    b350*b386 + 2070*b350*b387 + 1380*b350*b388 + 276*b350*b389 + 138*b350*b390
     + 2852*b350*b391 + 2760*b350*b392 + 2852*b350*b393 + 1702*b350*b395 + 2254
    *b350*b396 + 2806*b350*b397 + 230*b350*b398 + 1152*b350*b399 + 1600*b350*
    b400 + 3008*b350*b401 + 2464*b350*b402 + 3168*b350*b403 + 2848*b350*b404 + 
    2432*b350*b405 + 1792*b350*b406 + 384*b350*b407 + 832*b350*b408 + 1440*b350
    *b409 + 960*b350*b410 + 192*b350*b411 + 96*b350*b412 + 1984*b350*b413 + 
    1920*b350*b414 + 1984*b350*b415 + 1184*b350*b417 + 1568*b350*b418 + 1952*
    b350*b419 + 160*b350*b420 + 4968*b350*b421 + 6900*b350*b422 + 12972*b350*
    b423 + 10626*b350*b424 + 13662*b350*b425 + 12282*b350*b426 + 10488*b350*
    b427 + 7728*b350*b428 + 1656*b350*b429 + 3588*b350*b430 + 6210*b350*b431 + 
    4140*b350*b432 + 828*b350*b433 + 414*b350*b434 + 8556*b350*b435 + 8280*b350
    *b436 + 8556*b350*b437 + 5106*b350*b439 + 6762*b350*b440 + 8418*b350*b441
     + 690*b350*b442 + 6984*b350*b443 + 9700*b350*b444 + 18236*b350*b445 + 
    14938*b350*b446 + 19206*b350*b447 + 17266*b350*b448 + 14744*b350*b449 + 
    10864*b350*b450 + 2328*b350*b451 + 5044*b350*b452 + 8730*b350*b453 + 5820*
    b350*b454 + 1164*b350*b455 + 582*b350*b456 + 12028*b350*b457 + 11640*b350*
    b458 + 12028*b350*b459 + 7178*b350*b461 + 9506*b350*b462 + 11834*b350*b463
     + 970*b350*b464 + 936*b350*b465 + 1300*b350*b466 + 2444*b350*b467 + 2002*
    b350*b468 + 2574*b350*b469 + 2314*b350*b470 + 1976*b350*b471 + 1456*b350*
    b472 + 312*b350*b473 + 676*b350*b474 + 1170*b350*b475 + 780*b350*b476 + 156
    *b350*b477 + 78*b350*b478 + 1612*b350*b479 + 1560*b350*b480 + 1612*b350*
    b481 + 962*b350*b483 + 1274*b350*b484 + 1586*b350*b485 + 130*b350*b486 + 
    2520*b350*b487 + 3500*b350*b488 + 6580*b350*b489 + 5390*b350*b490 + 6930*
    b350*b491 + 6230*b350*b492 + 5320*b350*b493 + 3920*b350*b494 + 840*b350*
    b495 + 1820*b350*b496 + 3150*b350*b497 + 2100*b350*b498 + 420*b350*b499 + 
    210*b350*b500 + 4340*b350*b501 + 4200*b350*b502 + 4340*b350*b503 + 2590*
    b350*b505 + 3430*b350*b506 + 4270*b350*b507 + 350*b350*b508 + 5760*b350*
    b509 + 8000*b350*b510 + 15040*b350*b511 + 12320*b350*b512 + 15840*b350*b513
     + 14240*b350*b514 + 12160*b350*b515 + 8960*b350*b516 + 1920*b350*b517 + 
    4160*b350*b518 + 7200*b350*b519 + 4800*b350*b520 + 960*b350*b521 + 480*b350
    *b522 + 9920*b350*b523 + 9600*b350*b524 + 9920*b350*b525 + 5920*b350*b527
     + 7840*b350*b528 + 9760*b350*b529 + 800*b350*b530 + 162*b350*b531 + 270*
    b350*b532 + 612*b350*b533 + 558*b350*b534 + 930*b350*b535 + 2108*b350*b536
     + 1692*b350*b537 + 2820*b350*b538 + 6392*b350*b539 + 1476*b350*b540 + 2460
    *b350*b541 + 5576*b350*b542 + 1152*b350*b543 + 1920*b350*b544 + 4352*b350*
    b545 + 432*b350*b546 + 720*b350*b547 + 1632*b350*b548 + 1782*b350*b549 + 
    2970*b350*b550 + 6732*b350*b551 + 1782*b350*b552 + 2970*b350*b553 + 6732*
    b350*b554 + 936*b350*b555 + 1560*b350*b556 + 3536*b350*b557 + 342*b350*b558
     + 570*b350*b559 + 1292*b350*b560 + 1152*b350*b561 + 1920*b350*b562 + 4352*
    b350*b563 + 1782*b350*b564 + 2970*b350*b565 + 6732*b350*b566 + 360*b350*
    b567 + 600*b350*b568 + 1360*b350*b569 + 1494*b350*b570 + 2490*b350*b571 + 
    5644*b350*b572 + 594*b350*b576 + 990*b350*b577 + 2244*b350*b578 + 414*b350*
    b579 + 690*b350*b580 + 1564*b350*b581 + 288*b350*b582 + 480*b350*b583 + 
    1088*b350*b584 + 1242*b350*b585 + 2070*b350*b586 + 4692*b350*b587 + 1746*
    b350*b588 + 2910*b350*b589 + 6596*b350*b590 + 234*b350*b591 + 390*b350*b592
     + 884*b350*b593 + 630*b350*b594 + 1050*b350*b595 + 2380*b350*b596 + 1440*
    b350*b597 + 2400*b350*b598 + 5440*b350*b599 + 4900*b350*b600 + 9212*b350*
    b601 + 7546*b350*b602 + 9702*b350*b603 + 8722*b350*b604 + 7448*b350*b605 + 
    5488*b350*b606 + 1176*b350*b607 + 2548*b350*b608 + 4410*b350*b609 + 2940*
    b350*b610 + 588*b350*b611 + 294*b350*b612 + 6076*b350*b613 + 1470*b350*b614
     + 5880*b350*b615 + 6076*b350*b616 + 3626*b350*b618 + 4802*b350*b619 + 5978
    *b350*b620 + 490*b350*b621 + 3332*b350*b622 + 3528*b350*b623 + 36*b350*b624
     + 60*b350*b625 + 136*b350*b626 + 4026*b351*b355 + 264*b351*b356 + 5940*
    b351*b357 + 2376*b351*b358 + 3696*b351*b359 + 3168*b351*b360 + 2640*b351*
    b361 + 2574*b351*b362 + 5610*b351*b363 + 5412*b351*b364 + 6336*b351*b365 + 
    2838*b351*b366 + 198*b351*b368 + 4092*b351*b369 + 4092*b351*b370 + 2376*
    b351*b371 + 2442*b351*b372 + 3498*b351*b374 + 6336*b351*b375 + 5412*b351*
    b376 + 2806*b351*b377 + 184*b351*b378 + 4140*b351*b379 + 1656*b351*b380 + 
    2576*b351*b381 + 2208*b351*b382 + 1840*b351*b383 + 1794*b351*b384 + 3910*
    b351*b385 + 3772*b351*b386 + 4416*b351*b387 + 1978*b351*b388 + 138*b351*
    b390 + 2852*b351*b391 + 2852*b351*b392 + 1656*b351*b393 + 1702*b351*b394 + 
    2438*b351*b396 + 4416*b351*b397 + 3772*b351*b398 + 1952*b351*b399 + 128*
    b351*b400 + 2880*b351*b401 + 1152*b351*b402 + 1792*b351*b403 + 1536*b351*
    b404 + 1280*b351*b405 + 1248*b351*b406 + 2720*b351*b407 + 2624*b351*b408 + 
    3072*b351*b409 + 1376*b351*b410 + 96*b351*b412 + 1984*b351*b413 + 1984*b351
    *b414 + 1152*b351*b415 + 1184*b351*b416 + 1696*b351*b418 + 3072*b351*b419
     + 2624*b351*b420 + 8418*b351*b421 + 552*b351*b422 + 12420*b351*b423 + 4968
    *b351*b424 + 7728*b351*b425 + 6624*b351*b426 + 5520*b351*b427 + 5382*b351*
    b428 + 11730*b351*b429 + 11316*b351*b430 + 13248*b351*b431 + 5934*b351*b432
     + 414*b351*b434 + 8556*b351*b435 + 8556*b351*b436 + 4968*b351*b437 + 5106*
    b351*b438 + 7314*b351*b440 + 13248*b351*b441 + 11316*b351*b442 + 11834*b351
    *b443 + 776*b351*b444 + 17460*b351*b445 + 6984*b351*b446 + 10864*b351*b447
     + 9312*b351*b448 + 7760*b351*b449 + 7566*b351*b450 + 16490*b351*b451 + 
    15908*b351*b452 + 18624*b351*b453 + 8342*b351*b454 + 582*b351*b456 + 12028*
    b351*b457 + 12028*b351*b458 + 6984*b351*b459 + 7178*b351*b460 + 10282*b351*
    b462 + 18624*b351*b463 + 15908*b351*b464 + 1586*b351*b465 + 104*b351*b466
     + 2340*b351*b467 + 936*b351*b468 + 1456*b351*b469 + 1248*b351*b470 + 1040*
    b351*b471 + 1014*b351*b472 + 2210*b351*b473 + 2132*b351*b474 + 2496*b351*
    b475 + 1118*b351*b476 + 78*b351*b478 + 1612*b351*b479 + 1612*b351*b480 + 
    936*b351*b481 + 962*b351*b482 + 1378*b351*b484 + 2496*b351*b485 + 2132*b351
    *b486 + 4270*b351*b487 + 280*b351*b488 + 6300*b351*b489 + 2520*b351*b490 + 
    3920*b351*b491 + 3360*b351*b492 + 2800*b351*b493 + 2730*b351*b494 + 5950*
    b351*b495 + 5740*b351*b496 + 6720*b351*b497 + 3010*b351*b498 + 210*b351*
    b500 + 4340*b351*b501 + 4340*b351*b502 + 2520*b351*b503 + 2590*b351*b504 + 
    3710*b351*b506 + 6720*b351*b507 + 5740*b351*b508 + 9760*b351*b509 + 640*
    b351*b510 + 14400*b351*b511 + 5760*b351*b512 + 8960*b351*b513 + 7680*b351*
    b514 + 6400*b351*b515 + 6240*b351*b516 + 13600*b351*b517 + 13120*b351*b518
     + 15360*b351*b519 + 6880*b351*b520 + 480*b351*b522 + 9920*b351*b523 + 9920
    *b351*b524 + 5760*b351*b525 + 5920*b351*b526 + 8480*b351*b528 + 15360*b351*
    b529 + 13120*b351*b530 + 18*b351*b531 + 306*b351*b532 + 864*b351*b533 + 62*
    b351*b534 + 1054*b351*b535 + 2976*b351*b536 + 188*b351*b537 + 3196*b351*
    b538 + 9024*b351*b539 + 164*b351*b540 + 2788*b351*b541 + 7872*b351*b542 + 
    128*b351*b543 + 2176*b351*b544 + 6144*b351*b545 + 48*b351*b546 + 816*b351*
    b547 + 2304*b351*b548 + 198*b351*b549 + 3366*b351*b550 + 9504*b351*b551 + 
    198*b351*b552 + 3366*b351*b553 + 9504*b351*b554 + 104*b351*b555 + 1768*b351
    *b556 + 4992*b351*b557 + 38*b351*b558 + 646*b351*b559 + 1824*b351*b560 + 
    128*b351*b561 + 2176*b351*b562 + 6144*b351*b563 + 198*b351*b564 + 3366*b351
    *b565 + 9504*b351*b566 + 40*b351*b567 + 680*b351*b568 + 1920*b351*b569 + 
    166*b351*b570 + 2822*b351*b571 + 7968*b351*b572 + 66*b351*b576 + 1122*b351*
    b577 + 3168*b351*b578 + 46*b351*b579 + 782*b351*b580 + 2208*b351*b581 + 32*
    b351*b582 + 544*b351*b583 + 1536*b351*b584 + 138*b351*b585 + 2346*b351*b586
     + 6624*b351*b587 + 194*b351*b588 + 3298*b351*b589 + 9312*b351*b590 + 26*
    b351*b591 + 442*b351*b592 + 1248*b351*b593 + 70*b351*b594 + 1190*b351*b595
     + 3360*b351*b596 + 160*b351*b597 + 2720*b351*b598 + 7680*b351*b599 + 392*
    b351*b600 + 8820*b351*b601 + 3528*b351*b602 + 5488*b351*b603 + 4704*b351*
    b604 + 3920*b351*b605 + 3822*b351*b606 + 8330*b351*b607 + 8036*b351*b608 + 
    9408*b351*b609 + 4214*b351*b610 + 294*b351*b612 + 6076*b351*b613 + 1666*
    b351*b614 + 6076*b351*b615 + 3528*b351*b616 + 3626*b351*b617 + 5194*b351*
    b619 + 9408*b351*b620 + 8036*b351*b621 + 4704*b351*b622 + 5978*b351*b623 + 
    4*b351*b624 + 68*b351*b625 + 192*b351*b626 + 2376*b352*b355 + 2376*b352*
    b356 + 3366*b352*b357 + 3498*b352*b358 + 4620*b352*b359 + 924*b352*b360 + 
    4356*b352*b361 + 3498*b352*b362 + 4752*b352*b363 + 2904*b352*b364 + 462*
    b352*b365 + 6402*b352*b366 + 3366*b352*b368 + 1848*b352*b369 + 4092*b352*
    b370 + 132*b352*b371 + 3234*b352*b372 + 3498*b352*b373 + 1848*b352*b375 + 
    2046*b352*b376 + 1656*b352*b377 + 1656*b352*b378 + 2346*b352*b379 + 2438*
    b352*b380 + 3220*b352*b381 + 644*b352*b382 + 3036*b352*b383 + 2438*b352*
    b384 + 3312*b352*b385 + 2024*b352*b386 + 322*b352*b387 + 4462*b352*b388 + 
    2346*b352*b390 + 1288*b352*b391 + 2852*b352*b392 + 92*b352*b393 + 2254*b352
    *b394 + 2438*b352*b395 + 1288*b352*b397 + 1426*b352*b398 + 1152*b352*b399
     + 1152*b352*b400 + 1632*b352*b401 + 1696*b352*b402 + 2240*b352*b403 + 448*
    b352*b404 + 2112*b352*b405 + 1696*b352*b406 + 2304*b352*b407 + 1408*b352*
    b408 + 224*b352*b409 + 3104*b352*b410 + 1632*b352*b412 + 896*b352*b413 + 
    1984*b352*b414 + 64*b352*b415 + 1568*b352*b416 + 1696*b352*b417 + 896*b352*
    b419 + 992*b352*b420 + 4968*b352*b421 + 4968*b352*b422 + 7038*b352*b423 + 
    7314*b352*b424 + 9660*b352*b425 + 1932*b352*b426 + 9108*b352*b427 + 7314*
    b352*b428 + 9936*b352*b429 + 6072*b352*b430 + 966*b352*b431 + 13386*b352*
    b432 + 7038*b352*b434 + 3864*b352*b435 + 8556*b352*b436 + 276*b352*b437 + 
    6762*b352*b438 + 7314*b352*b439 + 3864*b352*b441 + 4278*b352*b442 + 6984*
    b352*b443 + 6984*b352*b444 + 9894*b352*b445 + 10282*b352*b446 + 13580*b352*
    b447 + 2716*b352*b448 + 12804*b352*b449 + 10282*b352*b450 + 13968*b352*b451
     + 8536*b352*b452 + 1358*b352*b453 + 18818*b352*b454 + 9894*b352*b456 + 
    5432*b352*b457 + 12028*b352*b458 + 388*b352*b459 + 9506*b352*b460 + 10282*
    b352*b461 + 5432*b352*b463 + 6014*b352*b464 + 936*b352*b465 + 936*b352*b466
     + 1326*b352*b467 + 1378*b352*b468 + 1820*b352*b469 + 364*b352*b470 + 1716*
    b352*b471 + 1378*b352*b472 + 1872*b352*b473 + 1144*b352*b474 + 182*b352*
    b475 + 2522*b352*b476 + 1326*b352*b478 + 728*b352*b479 + 1612*b352*b480 + 
    52*b352*b481 + 1274*b352*b482 + 1378*b352*b483 + 728*b352*b485 + 806*b352*
    b486 + 2520*b352*b487 + 2520*b352*b488 + 3570*b352*b489 + 3710*b352*b490 + 
    4900*b352*b491 + 980*b352*b492 + 4620*b352*b493 + 3710*b352*b494 + 5040*
    b352*b495 + 3080*b352*b496 + 490*b352*b497 + 6790*b352*b498 + 3570*b352*
    b500 + 1960*b352*b501 + 4340*b352*b502 + 140*b352*b503 + 3430*b352*b504 + 
    3710*b352*b505 + 1960*b352*b507 + 2170*b352*b508 + 5760*b352*b509 + 5760*
    b352*b510 + 8160*b352*b511 + 8480*b352*b512 + 11200*b352*b513 + 2240*b352*
    b514 + 10560*b352*b515 + 8480*b352*b516 + 11520*b352*b517 + 7040*b352*b518
     + 1120*b352*b519 + 15520*b352*b520 + 8160*b352*b522 + 4480*b352*b523 + 
    9920*b352*b524 + 320*b352*b525 + 7840*b352*b526 + 8480*b352*b527 + 4480*
    b352*b529 + 4960*b352*b530 + 1530*b352*b531 + 1386*b352*b532 + 1350*b352*
    b533 + 5270*b352*b534 + 4774*b352*b535 + 4650*b352*b536 + 15980*b352*b537
     + 14476*b352*b538 + 14100*b352*b539 + 13940*b352*b540 + 12628*b352*b541 + 
    12300*b352*b542 + 10880*b352*b543 + 9856*b352*b544 + 9600*b352*b545 + 4080*
    b352*b546 + 3696*b352*b547 + 3600*b352*b548 + 16830*b352*b549 + 15246*b352*
    b550 + 14850*b352*b551 + 16830*b352*b552 + 15246*b352*b553 + 14850*b352*
    b554 + 8840*b352*b555 + 8008*b352*b556 + 7800*b352*b557 + 3230*b352*b558 + 
    2926*b352*b559 + 2850*b352*b560 + 10880*b352*b561 + 9856*b352*b562 + 9600*
    b352*b563 + 16830*b352*b564 + 15246*b352*b565 + 14850*b352*b566 + 3400*b352
    *b567 + 3080*b352*b568 + 3000*b352*b569 + 14110*b352*b570 + 12782*b352*b571
     + 12450*b352*b572 + 5610*b352*b576 + 5082*b352*b577 + 4950*b352*b578 + 
    3910*b352*b579 + 3542*b352*b580 + 3450*b352*b581 + 2720*b352*b582 + 2464*
    b352*b583 + 2400*b352*b584 + 11730*b352*b585 + 10626*b352*b586 + 10350*b352
    *b587 + 16490*b352*b588 + 14938*b352*b589 + 14550*b352*b590 + 2210*b352*
    b591 + 2002*b352*b592 + 1950*b352*b593 + 5950*b352*b594 + 5390*b352*b595 + 
    5250*b352*b596 + 13600*b352*b597 + 12320*b352*b598 + 12000*b352*b599 + 3528
    *b352*b600 + 4998*b352*b601 + 5194*b352*b602 + 6860*b352*b603 + 1372*b352*
    b604 + 6468*b352*b605 + 5194*b352*b606 + 7056*b352*b607 + 4312*b352*b608 + 
    686*b352*b609 + 9506*b352*b610 + 4998*b352*b612 + 2744*b352*b613 + 7546*
    b352*b614 + 6076*b352*b615 + 196*b352*b616 + 4802*b352*b617 + 5194*b352*
    b618 + 2744*b352*b620 + 3038*b352*b621 + 7350*b352*b622 + 3528*b352*b623 + 
    340*b352*b624 + 308*b352*b625 + 300*b352*b626 + 1386*b353*b355 + 1782*b353*
    b356 + 198*b353*b357 + 2442*b353*b358 + 6534*b353*b359 + 5874*b353*b360 + 
    3828*b353*b361 + 5082*b353*b362 + 462*b353*b363 + 2310*b353*b364 + 5742*
    b353*b365 + 2178*b353*b366 + 3168*b353*b367 + 4422*b353*b368 + 5016*b353*
    b369 + 5478*b353*b370 + 132*b353*b371 + 4026*b353*b372 + 6336*b353*b373 + 
    1848*b353*b374 + 66*b353*b376 + 966*b353*b377 + 1242*b353*b378 + 138*b353*
    b379 + 1702*b353*b380 + 4554*b353*b381 + 4094*b353*b382 + 2668*b353*b383 + 
    3542*b353*b384 + 322*b353*b385 + 1610*b353*b386 + 4002*b353*b387 + 1518*
    b353*b388 + 2208*b353*b389 + 3082*b353*b390 + 3496*b353*b391 + 3818*b353*
    b392 + 92*b353*b393 + 2806*b353*b394 + 4416*b353*b395 + 1288*b353*b396 + 46
    *b353*b398 + 672*b353*b399 + 864*b353*b400 + 96*b353*b401 + 1184*b353*b402
     + 3168*b353*b403 + 2848*b353*b404 + 1856*b353*b405 + 2464*b353*b406 + 224*
    b353*b407 + 1120*b353*b408 + 2784*b353*b409 + 1056*b353*b410 + 1536*b353*
    b411 + 2144*b353*b412 + 2432*b353*b413 + 2656*b353*b414 + 64*b353*b415 + 
    1952*b353*b416 + 3072*b353*b417 + 896*b353*b418 + 32*b353*b420 + 2898*b353*
    b421 + 3726*b353*b422 + 414*b353*b423 + 5106*b353*b424 + 13662*b353*b425 + 
    12282*b353*b426 + 8004*b353*b427 + 10626*b353*b428 + 966*b353*b429 + 4830*
    b353*b430 + 12006*b353*b431 + 4554*b353*b432 + 6624*b353*b433 + 9246*b353*
    b434 + 10488*b353*b435 + 11454*b353*b436 + 276*b353*b437 + 8418*b353*b438
     + 13248*b353*b439 + 3864*b353*b440 + 138*b353*b442 + 4074*b353*b443 + 5238
    *b353*b444 + 582*b353*b445 + 7178*b353*b446 + 19206*b353*b447 + 17266*b353*
    b448 + 11252*b353*b449 + 14938*b353*b450 + 1358*b353*b451 + 6790*b353*b452
     + 16878*b353*b453 + 6402*b353*b454 + 9312*b353*b455 + 12998*b353*b456 + 
    14744*b353*b457 + 16102*b353*b458 + 388*b353*b459 + 11834*b353*b460 + 18624
    *b353*b461 + 5432*b353*b462 + 194*b353*b464 + 546*b353*b465 + 702*b353*b466
     + 78*b353*b467 + 962*b353*b468 + 2574*b353*b469 + 2314*b353*b470 + 1508*
    b353*b471 + 2002*b353*b472 + 182*b353*b473 + 910*b353*b474 + 2262*b353*b475
     + 858*b353*b476 + 1248*b353*b477 + 1742*b353*b478 + 1976*b353*b479 + 2158*
    b353*b480 + 52*b353*b481 + 1586*b353*b482 + 2496*b353*b483 + 728*b353*b484
     + 26*b353*b486 + 1470*b353*b487 + 1890*b353*b488 + 210*b353*b489 + 2590*
    b353*b490 + 6930*b353*b491 + 6230*b353*b492 + 4060*b353*b493 + 5390*b353*
    b494 + 490*b353*b495 + 2450*b353*b496 + 6090*b353*b497 + 2310*b353*b498 + 
    3360*b353*b499 + 4690*b353*b500 + 5320*b353*b501 + 5810*b353*b502 + 140*
    b353*b503 + 4270*b353*b504 + 6720*b353*b505 + 1960*b353*b506 + 70*b353*b508
     + 3360*b353*b509 + 4320*b353*b510 + 480*b353*b511 + 5920*b353*b512 + 15840
    *b353*b513 + 14240*b353*b514 + 9280*b353*b515 + 12320*b353*b516 + 1120*b353
    *b517 + 5600*b353*b518 + 13920*b353*b519 + 5280*b353*b520 + 7680*b353*b521
     + 10720*b353*b522 + 12160*b353*b523 + 13280*b353*b524 + 320*b353*b525 + 
    9760*b353*b526 + 15360*b353*b527 + 4480*b353*b528 + 160*b353*b530 + 1512*
    b353*b531 + 792*b353*b532 + 1710*b353*b533 + 5208*b353*b534 + 2728*b353*
    b535 + 5890*b353*b536 + 15792*b353*b537 + 8272*b353*b538 + 17860*b353*b539
     + 13776*b353*b540 + 7216*b353*b541 + 15580*b353*b542 + 10752*b353*b543 + 
    5632*b353*b544 + 12160*b353*b545 + 4032*b353*b546 + 2112*b353*b547 + 4560*
    b353*b548 + 16632*b353*b549 + 8712*b353*b550 + 18810*b353*b551 + 16632*b353
    *b552 + 8712*b353*b553 + 18810*b353*b554 + 8736*b353*b555 + 4576*b353*b556
     + 9880*b353*b557 + 3192*b353*b558 + 1672*b353*b559 + 3610*b353*b560 + 
    10752*b353*b561 + 5632*b353*b562 + 12160*b353*b563 + 16632*b353*b564 + 8712
    *b353*b565 + 18810*b353*b566 + 3360*b353*b567 + 1760*b353*b568 + 3800*b353*
    b569 + 13944*b353*b570 + 7304*b353*b571 + 15770*b353*b572 + 5544*b353*b576
     + 2904*b353*b577 + 6270*b353*b578 + 3864*b353*b579 + 2024*b353*b580 + 4370
    *b353*b581 + 2688*b353*b582 + 1408*b353*b583 + 3040*b353*b584 + 11592*b353*
    b585 + 6072*b353*b586 + 13110*b353*b587 + 16296*b353*b588 + 8536*b353*b589
     + 18430*b353*b590 + 2184*b353*b591 + 1144*b353*b592 + 2470*b353*b593 + 
    5880*b353*b594 + 3080*b353*b595 + 6650*b353*b596 + 13440*b353*b597 + 7040*
    b353*b598 + 15200*b353*b599 + 2646*b353*b600 + 294*b353*b601 + 3626*b353*
    b602 + 9702*b353*b603 + 8722*b353*b604 + 5684*b353*b605 + 7546*b353*b606 + 
    686*b353*b607 + 3430*b353*b608 + 8526*b353*b609 + 3234*b353*b610 + 4704*
    b353*b611 + 6566*b353*b612 + 7448*b353*b613 + 4312*b353*b614 + 8134*b353*
    b615 + 196*b353*b616 + 5978*b353*b617 + 9408*b353*b618 + 2744*b353*b619 + 
    98*b353*b621 + 9310*b353*b622 + 2058*b353*b623 + 336*b353*b624 + 176*b353*
    b625 + 380*b353*b626 + 4686*b354*b355 + 5610*b354*b356 + 3168*b354*b357 + 
    1716*b354*b358 + 3960*b354*b359 + 2904*b354*b360 + 1980*b354*b361 + 3300*
    b354*b362 + 3234*b354*b363 + 198*b354*b364 + 4488*b354*b365 + 2310*b354*
    b366 + 4092*b354*b367 + 2574*b354*b368 + 4356*b354*b369 + 6006*b354*b370 + 
    2838*b354*b371 + 330*b354*b372 + 5412*b354*b373 + 2046*b354*b374 + 66*b354*
    b375 + 3266*b354*b377 + 3910*b354*b378 + 2208*b354*b379 + 1196*b354*b380 + 
    2760*b354*b381 + 2024*b354*b382 + 1380*b354*b383 + 2300*b354*b384 + 2254*
    b354*b385 + 138*b354*b386 + 3128*b354*b387 + 1610*b354*b388 + 2852*b354*
    b389 + 1794*b354*b390 + 3036*b354*b391 + 4186*b354*b392 + 1978*b354*b393 + 
    230*b354*b394 + 3772*b354*b395 + 1426*b354*b396 + 46*b354*b397 + 2272*b354*
    b399 + 2720*b354*b400 + 1536*b354*b401 + 832*b354*b402 + 1920*b354*b403 + 
    1408*b354*b404 + 960*b354*b405 + 1600*b354*b406 + 1568*b354*b407 + 96*b354*
    b408 + 2176*b354*b409 + 1120*b354*b410 + 1984*b354*b411 + 1248*b354*b412 + 
    2112*b354*b413 + 2912*b354*b414 + 1376*b354*b415 + 160*b354*b416 + 2624*
    b354*b417 + 992*b354*b418 + 32*b354*b419 + 9798*b354*b421 + 11730*b354*b422
     + 6624*b354*b423 + 3588*b354*b424 + 8280*b354*b425 + 6072*b354*b426 + 4140
    *b354*b427 + 6900*b354*b428 + 6762*b354*b429 + 414*b354*b430 + 9384*b354*
    b431 + 4830*b354*b432 + 8556*b354*b433 + 5382*b354*b434 + 9108*b354*b435 + 
    12558*b354*b436 + 5934*b354*b437 + 690*b354*b438 + 11316*b354*b439 + 4278*
    b354*b440 + 138*b354*b441 + 13774*b354*b443 + 16490*b354*b444 + 9312*b354*
    b445 + 5044*b354*b446 + 11640*b354*b447 + 8536*b354*b448 + 5820*b354*b449
     + 9700*b354*b450 + 9506*b354*b451 + 582*b354*b452 + 13192*b354*b453 + 6790
    *b354*b454 + 12028*b354*b455 + 7566*b354*b456 + 12804*b354*b457 + 17654*
    b354*b458 + 8342*b354*b459 + 970*b354*b460 + 15908*b354*b461 + 6014*b354*
    b462 + 194*b354*b463 + 1846*b354*b465 + 2210*b354*b466 + 1248*b354*b467 + 
    676*b354*b468 + 1560*b354*b469 + 1144*b354*b470 + 780*b354*b471 + 1300*b354
    *b472 + 1274*b354*b473 + 78*b354*b474 + 1768*b354*b475 + 910*b354*b476 + 
    1612*b354*b477 + 1014*b354*b478 + 1716*b354*b479 + 2366*b354*b480 + 1118*
    b354*b481 + 130*b354*b482 + 2132*b354*b483 + 806*b354*b484 + 26*b354*b485
     + 4970*b354*b487 + 5950*b354*b488 + 3360*b354*b489 + 1820*b354*b490 + 4200
    *b354*b491 + 3080*b354*b492 + 2100*b354*b493 + 3500*b354*b494 + 3430*b354*
    b495 + 210*b354*b496 + 4760*b354*b497 + 2450*b354*b498 + 4340*b354*b499 + 
    2730*b354*b500 + 4620*b354*b501 + 6370*b354*b502 + 3010*b354*b503 + 350*
    b354*b504 + 5740*b354*b505 + 2170*b354*b506 + 70*b354*b507 + 11360*b354*
    b509 + 13600*b354*b510 + 7680*b354*b511 + 4160*b354*b512 + 9600*b354*b513
     + 7040*b354*b514 + 4800*b354*b515 + 8000*b354*b516 + 7840*b354*b517 + 480*
    b354*b518 + 10880*b354*b519 + 5600*b354*b520 + 9920*b354*b521 + 6240*b354*
    b522 + 10560*b354*b523 + 14560*b354*b524 + 6880*b354*b525 + 800*b354*b526
     + 13120*b354*b527 + 4960*b354*b528 + 160*b354*b529 + 216*b354*b531 + 468*
    b354*b532 + 126*b354*b533 + 744*b354*b534 + 1612*b354*b535 + 434*b354*b536
     + 2256*b354*b537 + 4888*b354*b538 + 1316*b354*b539 + 1968*b354*b540 + 4264
    *b354*b541 + 1148*b354*b542 + 1536*b354*b543 + 3328*b354*b544 + 896*b354*
    b545 + 576*b354*b546 + 1248*b354*b547 + 336*b354*b548 + 2376*b354*b549 + 
    5148*b354*b550 + 1386*b354*b551 + 2376*b354*b552 + 5148*b354*b553 + 1386*
    b354*b554 + 1248*b354*b555 + 2704*b354*b556 + 728*b354*b557 + 456*b354*b558
     + 988*b354*b559 + 266*b354*b560 + 1536*b354*b561 + 3328*b354*b562 + 896*
    b354*b563 + 2376*b354*b564 + 5148*b354*b565 + 1386*b354*b566 + 480*b354*
    b567 + 1040*b354*b568 + 280*b354*b569 + 1992*b354*b570 + 4316*b354*b571 + 
    1162*b354*b572 + 792*b354*b576 + 1716*b354*b577 + 462*b354*b578 + 552*b354*
    b579 + 1196*b354*b580 + 322*b354*b581 + 384*b354*b582 + 832*b354*b583 + 224
    *b354*b584 + 1656*b354*b585 + 3588*b354*b586 + 966*b354*b587 + 2328*b354*
    b588 + 5044*b354*b589 + 1358*b354*b590 + 312*b354*b591 + 676*b354*b592 + 
    182*b354*b593 + 840*b354*b594 + 1820*b354*b595 + 490*b354*b596 + 1920*b354*
    b597 + 4160*b354*b598 + 1120*b354*b599 + 8330*b354*b600 + 4704*b354*b601 + 
    2548*b354*b602 + 5880*b354*b603 + 4312*b354*b604 + 2940*b354*b605 + 4900*
    b354*b606 + 4802*b354*b607 + 294*b354*b608 + 6664*b354*b609 + 3430*b354*
    b610 + 6076*b354*b611 + 3822*b354*b612 + 6468*b354*b613 + 2548*b354*b614 + 
    8918*b354*b615 + 4214*b354*b616 + 490*b354*b617 + 8036*b354*b618 + 3038*
    b354*b619 + 98*b354*b620 + 686*b354*b622 + 6958*b354*b623 + 48*b354*b624 + 
    104*b354*b625 + 28*b354*b626 + 2080*b355*b378 + 7280*b355*b379 + 880*b355*
    b380 + 2800*b355*b381 + 6560*b355*b382 + 2080*b355*b383 + 5520*b355*b384 + 
    4480*b355*b385 + 6880*b355*b386 + 3600*b355*b387 + 7280*b355*b388 + 4720*
    b355*b389 + 1440*b355*b390 + 6080*b355*b391 + 1440*b355*b392 + 4560*b355*
    b393 + 2880*b355*b394 + 4880*b355*b395 + 2880*b355*b396 + 1680*b355*b397 + 
    5680*b355*b398 + 2860*b355*b400 + 10010*b355*b401 + 1210*b355*b402 + 3850*
    b355*b403 + 9020*b355*b404 + 2860*b355*b405 + 7590*b355*b406 + 6160*b355*
    b407 + 9460*b355*b408 + 4950*b355*b409 + 10010*b355*b410 + 6490*b355*b411
     + 1980*b355*b412 + 8360*b355*b413 + 1980*b355*b414 + 6270*b355*b415 + 3960
    *b355*b416 + 6710*b355*b417 + 3960*b355*b418 + 2310*b355*b419 + 7810*b355*
    b420 + 1560*b355*b422 + 5460*b355*b423 + 660*b355*b424 + 2100*b355*b425 + 
    4920*b355*b426 + 1560*b355*b427 + 4140*b355*b428 + 3360*b355*b429 + 5160*
    b355*b430 + 2700*b355*b431 + 5460*b355*b432 + 3540*b355*b433 + 1080*b355*
    b434 + 4560*b355*b435 + 1080*b355*b436 + 3420*b355*b437 + 2160*b355*b438 + 
    3660*b355*b439 + 2160*b355*b440 + 1260*b355*b441 + 4260*b355*b442 + 1144*
    b355*b444 + 4004*b355*b445 + 484*b355*b446 + 1540*b355*b447 + 3608*b355*
    b448 + 1144*b355*b449 + 3036*b355*b450 + 2464*b355*b451 + 3784*b355*b452 + 
    1980*b355*b453 + 4004*b355*b454 + 2596*b355*b455 + 792*b355*b456 + 3344*
    b355*b457 + 792*b355*b458 + 2508*b355*b459 + 1584*b355*b460 + 2684*b355*
    b461 + 1584*b355*b462 + 924*b355*b463 + 3124*b355*b464 + 3952*b355*b466 + 
    13832*b355*b467 + 1672*b355*b468 + 5320*b355*b469 + 12464*b355*b470 + 3952*
    b355*b471 + 10488*b355*b472 + 8512*b355*b473 + 13072*b355*b474 + 6840*b355*
    b475 + 13832*b355*b476 + 8968*b355*b477 + 2736*b355*b478 + 11552*b355*b479
     + 2736*b355*b480 + 8664*b355*b481 + 5472*b355*b482 + 9272*b355*b483 + 5472
    *b355*b484 + 3192*b355*b485 + 10792*b355*b486 + 2860*b355*b488 + 10010*b355
    *b489 + 1210*b355*b490 + 3850*b355*b491 + 9020*b355*b492 + 2860*b355*b493
     + 7590*b355*b494 + 6160*b355*b495 + 9460*b355*b496 + 4950*b355*b497 + 
    10010*b355*b498 + 6490*b355*b499 + 1980*b355*b500 + 8360*b355*b501 + 1980*
    b355*b502 + 6270*b355*b503 + 3960*b355*b504 + 6710*b355*b505 + 3960*b355*
    b506 + 2310*b355*b507 + 7810*b355*b508 + 2912*b355*b510 + 10192*b355*b511
     + 1232*b355*b512 + 3920*b355*b513 + 9184*b355*b514 + 2912*b355*b515 + 7728
    *b355*b516 + 6272*b355*b517 + 9632*b355*b518 + 5040*b355*b519 + 10192*b355*
    b520 + 6608*b355*b521 + 2016*b355*b522 + 8512*b355*b523 + 2016*b355*b524 + 
    6384*b355*b525 + 4032*b355*b526 + 6832*b355*b527 + 4032*b355*b528 + 2352*
    b355*b529 + 7952*b355*b530 + 882*b355*b531 + 1638*b355*b532 + 462*b355*b533
     + 1092*b355*b534 + 2028*b355*b535 + 572*b355*b536 + 3864*b355*b537 + 7176*
    b355*b538 + 2024*b355*b539 + 3318*b355*b540 + 6162*b355*b541 + 1738*b355*
    b542 + 4116*b355*b543 + 7644*b355*b544 + 2156*b355*b545 + 420*b355*b546 + 
    780*b355*b547 + 220*b355*b548 + 2142*b355*b549 + 3978*b355*b550 + 1122*b355
    *b551 + 2688*b355*b552 + 4992*b355*b553 + 1408*b355*b554 + 1176*b355*b555
     + 2184*b355*b556 + 616*b355*b557 + 3654*b355*b558 + 6786*b355*b559 + 1914*
    b355*b560 + 2184*b355*b561 + 4056*b355*b562 + 1144*b355*b563 + 3780*b355*
    b564 + 7020*b355*b565 + 1980*b355*b566 + 2856*b355*b567 + 5304*b355*b568 + 
    1496*b355*b569 + 3444*b355*b570 + 6396*b355*b571 + 1804*b355*b572 + 1386*
    b355*b573 + 2574*b355*b574 + 726*b355*b575 + 1680*b355*b579 + 3120*b355*
    b580 + 880*b355*b581 + 2310*b355*b582 + 4290*b355*b583 + 1210*b355*b584 + 
    1260*b355*b585 + 2340*b355*b586 + 660*b355*b587 + 924*b355*b588 + 1716*b355
    *b589 + 484*b355*b590 + 3192*b355*b591 + 5928*b355*b592 + 1672*b355*b593 + 
    2310*b355*b594 + 4290*b355*b595 + 1210*b355*b596 + 2352*b355*b597 + 4368*
    b355*b598 + 1232*b355*b599 + 2600*b355*b600 + 9100*b355*b601 + 1100*b355*
    b602 + 3500*b355*b603 + 8200*b355*b604 + 2600*b355*b605 + 6900*b355*b606 + 
    5600*b355*b607 + 8600*b355*b608 + 4500*b355*b609 + 9100*b355*b610 + 5900*
    b355*b611 + 1800*b355*b612 + 7600*b355*b613 + 3900*b355*b614 + 1800*b355*
    b615 + 5700*b355*b616 + 3600*b355*b617 + 6100*b355*b618 + 3600*b355*b619 + 
    2100*b355*b620 + 7100*b355*b621 + 1100*b355*b622 + 2184*b355*b624 + 4056*
    b355*b625 + 1144*b355*b626 + 2080*b356*b377 + 2320*b356*b379 + 6560*b356*
    b380 + 6560*b356*b381 + 480*b356*b382 + 5680*b356*b383 + 640*b356*b384 + 
    6160*b356*b385 + 5920*b356*b386 + 2400*b356*b387 + 7120*b356*b388 + 6080*
    b356*b389 + 6080*b356*b390 + 3200*b356*b391 + 4480*b356*b392 + 80*b356*b393
     + 4000*b356*b394 + 320*b356*b395 + 2880*b356*b396 + 2160*b356*b397 + 6800*
    b356*b398 + 2860*b356*b399 + 3190*b356*b401 + 9020*b356*b402 + 9020*b356*
    b403 + 660*b356*b404 + 7810*b356*b405 + 880*b356*b406 + 8470*b356*b407 + 
    8140*b356*b408 + 3300*b356*b409 + 9790*b356*b410 + 8360*b356*b411 + 8360*
    b356*b412 + 4400*b356*b413 + 6160*b356*b414 + 110*b356*b415 + 5500*b356*
    b416 + 440*b356*b417 + 3960*b356*b418 + 2970*b356*b419 + 9350*b356*b420 + 
    1560*b356*b421 + 1740*b356*b423 + 4920*b356*b424 + 4920*b356*b425 + 360*
    b356*b426 + 4260*b356*b427 + 480*b356*b428 + 4620*b356*b429 + 4440*b356*
    b430 + 1800*b356*b431 + 5340*b356*b432 + 4560*b356*b433 + 4560*b356*b434 + 
    2400*b356*b435 + 3360*b356*b436 + 60*b356*b437 + 3000*b356*b438 + 240*b356*
    b439 + 2160*b356*b440 + 1620*b356*b441 + 5100*b356*b442 + 1144*b356*b443 + 
    1276*b356*b445 + 3608*b356*b446 + 3608*b356*b447 + 264*b356*b448 + 3124*
    b356*b449 + 352*b356*b450 + 3388*b356*b451 + 3256*b356*b452 + 1320*b356*
    b453 + 3916*b356*b454 + 3344*b356*b455 + 3344*b356*b456 + 1760*b356*b457 + 
    2464*b356*b458 + 44*b356*b459 + 2200*b356*b460 + 176*b356*b461 + 1584*b356*
    b462 + 1188*b356*b463 + 3740*b356*b464 + 3952*b356*b465 + 4408*b356*b467 + 
    12464*b356*b468 + 12464*b356*b469 + 912*b356*b470 + 10792*b356*b471 + 1216*
    b356*b472 + 11704*b356*b473 + 11248*b356*b474 + 4560*b356*b475 + 13528*b356
    *b476 + 11552*b356*b477 + 11552*b356*b478 + 6080*b356*b479 + 8512*b356*b480
     + 152*b356*b481 + 7600*b356*b482 + 608*b356*b483 + 5472*b356*b484 + 4104*
    b356*b485 + 12920*b356*b486 + 2860*b356*b487 + 3190*b356*b489 + 9020*b356*
    b490 + 9020*b356*b491 + 660*b356*b492 + 7810*b356*b493 + 880*b356*b494 + 
    8470*b356*b495 + 8140*b356*b496 + 3300*b356*b497 + 9790*b356*b498 + 8360*
    b356*b499 + 8360*b356*b500 + 4400*b356*b501 + 6160*b356*b502 + 110*b356*
    b503 + 5500*b356*b504 + 440*b356*b505 + 3960*b356*b506 + 2970*b356*b507 + 
    9350*b356*b508 + 2912*b356*b509 + 3248*b356*b511 + 9184*b356*b512 + 9184*
    b356*b513 + 672*b356*b514 + 7952*b356*b515 + 896*b356*b516 + 8624*b356*b517
     + 8288*b356*b518 + 3360*b356*b519 + 9968*b356*b520 + 8512*b356*b521 + 8512
    *b356*b522 + 4480*b356*b523 + 6272*b356*b524 + 112*b356*b525 + 5600*b356*
    b526 + 448*b356*b527 + 4032*b356*b528 + 3024*b356*b529 + 9520*b356*b530 + 
    3990*b356*b531 + 3906*b356*b532 + 84*b356*b533 + 4940*b356*b534 + 4836*b356
    *b535 + 104*b356*b536 + 17480*b356*b537 + 17112*b356*b538 + 368*b356*b539
     + 15010*b356*b540 + 14694*b356*b541 + 316*b356*b542 + 18620*b356*b543 + 
    18228*b356*b544 + 392*b356*b545 + 1900*b356*b546 + 1860*b356*b547 + 40*b356
    *b548 + 9690*b356*b549 + 9486*b356*b550 + 204*b356*b551 + 12160*b356*b552
     + 11904*b356*b553 + 256*b356*b554 + 5320*b356*b555 + 5208*b356*b556 + 112*
    b356*b557 + 16530*b356*b558 + 16182*b356*b559 + 348*b356*b560 + 9880*b356*
    b561 + 9672*b356*b562 + 208*b356*b563 + 17100*b356*b564 + 16740*b356*b565
     + 360*b356*b566 + 12920*b356*b567 + 12648*b356*b568 + 272*b356*b569 + 
    15580*b356*b570 + 15252*b356*b571 + 328*b356*b572 + 6270*b356*b573 + 6138*
    b356*b574 + 132*b356*b575 + 7600*b356*b579 + 7440*b356*b580 + 160*b356*b581
     + 10450*b356*b582 + 10230*b356*b583 + 220*b356*b584 + 5700*b356*b585 + 
    5580*b356*b586 + 120*b356*b587 + 4180*b356*b588 + 4092*b356*b589 + 88*b356*
    b590 + 14440*b356*b591 + 14136*b356*b592 + 304*b356*b593 + 10450*b356*b594
     + 10230*b356*b595 + 220*b356*b596 + 10640*b356*b597 + 10416*b356*b598 + 
    224*b356*b599 + 2900*b356*b601 + 8200*b356*b602 + 8200*b356*b603 + 600*b356
    *b604 + 7100*b356*b605 + 800*b356*b606 + 7700*b356*b607 + 7400*b356*b608 + 
    3000*b356*b609 + 8900*b356*b610 + 7600*b356*b611 + 7600*b356*b612 + 4000*
    b356*b613 + 9300*b356*b614 + 5600*b356*b615 + 100*b356*b616 + 5000*b356*
    b617 + 400*b356*b618 + 3600*b356*b619 + 2700*b356*b620 + 8500*b356*b621 + 
    200*b356*b622 + 2600*b356*b623 + 9880*b356*b624 + 9672*b356*b625 + 208*b356
    *b626 + 7280*b357*b377 + 2320*b357*b378 + 80*b357*b380 + 1200*b357*b381 + 
    880*b357*b382 + 2800*b357*b383 + 880*b357*b384 + 1600*b357*b385 + 1680*b357
    *b386 + 4880*b357*b387 + 6400*b357*b388 + 4640*b357*b389 + 1680*b357*b390
     + 6080*b357*b391 + 3520*b357*b392 + 6800*b357*b393 + 7520*b357*b394 + 7200
    *b357*b395 + 4080*b357*b396 + 240*b357*b397 + 3840*b357*b398 + 10010*b357*
    b399 + 3190*b357*b400 + 110*b357*b402 + 1650*b357*b403 + 1210*b357*b404 + 
    3850*b357*b405 + 1210*b357*b406 + 2200*b357*b407 + 2310*b357*b408 + 6710*
    b357*b409 + 8800*b357*b410 + 6380*b357*b411 + 2310*b357*b412 + 8360*b357*
    b413 + 4840*b357*b414 + 9350*b357*b415 + 10340*b357*b416 + 9900*b357*b417
     + 5610*b357*b418 + 330*b357*b419 + 5280*b357*b420 + 5460*b357*b421 + 1740*
    b357*b422 + 60*b357*b424 + 900*b357*b425 + 660*b357*b426 + 2100*b357*b427
     + 660*b357*b428 + 1200*b357*b429 + 1260*b357*b430 + 3660*b357*b431 + 4800*
    b357*b432 + 3480*b357*b433 + 1260*b357*b434 + 4560*b357*b435 + 2640*b357*
    b436 + 5100*b357*b437 + 5640*b357*b438 + 5400*b357*b439 + 3060*b357*b440 + 
    180*b357*b441 + 2880*b357*b442 + 4004*b357*b443 + 1276*b357*b444 + 44*b357*
    b446 + 660*b357*b447 + 484*b357*b448 + 1540*b357*b449 + 484*b357*b450 + 880
    *b357*b451 + 924*b357*b452 + 2684*b357*b453 + 3520*b357*b454 + 2552*b357*
    b455 + 924*b357*b456 + 3344*b357*b457 + 1936*b357*b458 + 3740*b357*b459 + 
    4136*b357*b460 + 3960*b357*b461 + 2244*b357*b462 + 132*b357*b463 + 2112*
    b357*b464 + 13832*b357*b465 + 4408*b357*b466 + 152*b357*b468 + 2280*b357*
    b469 + 1672*b357*b470 + 5320*b357*b471 + 1672*b357*b472 + 3040*b357*b473 + 
    3192*b357*b474 + 9272*b357*b475 + 12160*b357*b476 + 8816*b357*b477 + 3192*
    b357*b478 + 11552*b357*b479 + 6688*b357*b480 + 12920*b357*b481 + 14288*b357
    *b482 + 13680*b357*b483 + 7752*b357*b484 + 456*b357*b485 + 7296*b357*b486
     + 10010*b357*b487 + 3190*b357*b488 + 110*b357*b490 + 1650*b357*b491 + 1210
    *b357*b492 + 3850*b357*b493 + 1210*b357*b494 + 2200*b357*b495 + 2310*b357*
    b496 + 6710*b357*b497 + 8800*b357*b498 + 6380*b357*b499 + 2310*b357*b500 + 
    8360*b357*b501 + 4840*b357*b502 + 9350*b357*b503 + 10340*b357*b504 + 9900*
    b357*b505 + 5610*b357*b506 + 330*b357*b507 + 5280*b357*b508 + 10192*b357*
    b509 + 3248*b357*b510 + 112*b357*b512 + 1680*b357*b513 + 1232*b357*b514 + 
    3920*b357*b515 + 1232*b357*b516 + 2240*b357*b517 + 2352*b357*b518 + 6832*
    b357*b519 + 8960*b357*b520 + 6496*b357*b521 + 2352*b357*b522 + 8512*b357*
    b523 + 4928*b357*b524 + 9520*b357*b525 + 10528*b357*b526 + 10080*b357*b527
     + 5712*b357*b528 + 336*b357*b529 + 5376*b357*b530 + 3444*b357*b531 + 3024*
    b357*b532 + 1218*b357*b533 + 4264*b357*b534 + 3744*b357*b535 + 1508*b357*
    b536 + 15088*b357*b537 + 13248*b357*b538 + 5336*b357*b539 + 12956*b357*b540
     + 11376*b357*b541 + 4582*b357*b542 + 16072*b357*b543 + 14112*b357*b544 + 
    5684*b357*b545 + 1640*b357*b546 + 1440*b357*b547 + 580*b357*b548 + 8364*
    b357*b549 + 7344*b357*b550 + 2958*b357*b551 + 10496*b357*b552 + 9216*b357*
    b553 + 3712*b357*b554 + 4592*b357*b555 + 4032*b357*b556 + 1624*b357*b557 + 
    14268*b357*b558 + 12528*b357*b559 + 5046*b357*b560 + 8528*b357*b561 + 7488*
    b357*b562 + 3016*b357*b563 + 14760*b357*b564 + 12960*b357*b565 + 5220*b357*
    b566 + 11152*b357*b567 + 9792*b357*b568 + 3944*b357*b569 + 13448*b357*b570
     + 11808*b357*b571 + 4756*b357*b572 + 5412*b357*b573 + 4752*b357*b574 + 
    1914*b357*b575 + 6560*b357*b579 + 5760*b357*b580 + 2320*b357*b581 + 9020*
    b357*b582 + 7920*b357*b583 + 3190*b357*b584 + 4920*b357*b585 + 4320*b357*
    b586 + 1740*b357*b587 + 3608*b357*b588 + 3168*b357*b589 + 1276*b357*b590 + 
    12464*b357*b591 + 10944*b357*b592 + 4408*b357*b593 + 9020*b357*b594 + 7920*
    b357*b595 + 3190*b357*b596 + 9184*b357*b597 + 8064*b357*b598 + 3248*b357*
    b599 + 2900*b357*b600 + 100*b357*b602 + 1500*b357*b603 + 1100*b357*b604 + 
    3500*b357*b605 + 1100*b357*b606 + 2000*b357*b607 + 2100*b357*b608 + 6100*
    b357*b609 + 8000*b357*b610 + 5800*b357*b611 + 2100*b357*b612 + 7600*b357*
    b613 + 7200*b357*b614 + 4400*b357*b615 + 8500*b357*b616 + 9400*b357*b617 + 
    9000*b357*b618 + 5100*b357*b619 + 300*b357*b620 + 4800*b357*b621 + 2900*
    b357*b622 + 9100*b357*b623 + 8528*b357*b624 + 7488*b357*b625 + 3016*b357*
    b626 + 880*b358*b377 + 6560*b358*b378 + 80*b358*b379 + 7200*b358*b381 + 
    5280*b358*b382 + 3280*b358*b383 + 1200*b358*b384 + 6640*b358*b385 + 7680*
    b358*b386 + 5920*b358*b387 + 3600*b358*b388 + 5200*b358*b389 + 3200*b358*
    b390 + 4320*b358*b391 + 1120*b358*b392 + 5680*b358*b393 + 6160*b358*b394 + 
    2880*b358*b395 + 4240*b358*b396 + 2960*b358*b397 + 2080*b358*b398 + 1210*
    b358*b399 + 9020*b358*b400 + 110*b358*b401 + 9900*b358*b403 + 7260*b358*
    b404 + 4510*b358*b405 + 1650*b358*b406 + 9130*b358*b407 + 10560*b358*b408
     + 8140*b358*b409 + 4950*b358*b410 + 7150*b358*b411 + 4400*b358*b412 + 5940
    *b358*b413 + 1540*b358*b414 + 7810*b358*b415 + 8470*b358*b416 + 3960*b358*
    b417 + 5830*b358*b418 + 4070*b358*b419 + 2860*b358*b420 + 660*b358*b421 + 
    4920*b358*b422 + 60*b358*b423 + 5400*b358*b425 + 3960*b358*b426 + 2460*b358
    *b427 + 900*b358*b428 + 4980*b358*b429 + 5760*b358*b430 + 4440*b358*b431 + 
    2700*b358*b432 + 3900*b358*b433 + 2400*b358*b434 + 3240*b358*b435 + 840*
    b358*b436 + 4260*b358*b437 + 4620*b358*b438 + 2160*b358*b439 + 3180*b358*
    b440 + 2220*b358*b441 + 1560*b358*b442 + 484*b358*b443 + 3608*b358*b444 + 
    44*b358*b445 + 3960*b358*b447 + 2904*b358*b448 + 1804*b358*b449 + 660*b358*
    b450 + 3652*b358*b451 + 4224*b358*b452 + 3256*b358*b453 + 1980*b358*b454 + 
    2860*b358*b455 + 1760*b358*b456 + 2376*b358*b457 + 616*b358*b458 + 3124*
    b358*b459 + 3388*b358*b460 + 1584*b358*b461 + 2332*b358*b462 + 1628*b358*
    b463 + 1144*b358*b464 + 1672*b358*b465 + 12464*b358*b466 + 152*b358*b467 + 
    13680*b358*b469 + 10032*b358*b470 + 6232*b358*b471 + 2280*b358*b472 + 12616
    *b358*b473 + 14592*b358*b474 + 11248*b358*b475 + 6840*b358*b476 + 9880*b358
    *b477 + 6080*b358*b478 + 8208*b358*b479 + 2128*b358*b480 + 10792*b358*b481
     + 11704*b358*b482 + 5472*b358*b483 + 8056*b358*b484 + 5624*b358*b485 + 
    3952*b358*b486 + 1210*b358*b487 + 9020*b358*b488 + 110*b358*b489 + 9900*
    b358*b491 + 7260*b358*b492 + 4510*b358*b493 + 1650*b358*b494 + 9130*b358*
    b495 + 10560*b358*b496 + 8140*b358*b497 + 4950*b358*b498 + 7150*b358*b499
     + 4400*b358*b500 + 5940*b358*b501 + 1540*b358*b502 + 7810*b358*b503 + 8470
    *b358*b504 + 3960*b358*b505 + 5830*b358*b506 + 4070*b358*b507 + 2860*b358*
    b508 + 1232*b358*b509 + 9184*b358*b510 + 112*b358*b511 + 10080*b358*b513 + 
    7392*b358*b514 + 4592*b358*b515 + 1680*b358*b516 + 9296*b358*b517 + 10752*
    b358*b518 + 8288*b358*b519 + 5040*b358*b520 + 7280*b358*b521 + 4480*b358*
    b522 + 6048*b358*b523 + 1568*b358*b524 + 7952*b358*b525 + 8624*b358*b526 + 
    4032*b358*b527 + 5936*b358*b528 + 4144*b358*b529 + 2912*b358*b530 + 2352*
    b358*b531 + 3486*b358*b532 + 3654*b358*b533 + 2912*b358*b534 + 4316*b358*
    b535 + 4524*b358*b536 + 10304*b358*b537 + 15272*b358*b538 + 16008*b358*b539
     + 8848*b358*b540 + 13114*b358*b541 + 13746*b358*b542 + 10976*b358*b543 + 
    16268*b358*b544 + 17052*b358*b545 + 1120*b358*b546 + 1660*b358*b547 + 1740*
    b358*b548 + 5712*b358*b549 + 8466*b358*b550 + 8874*b358*b551 + 7168*b358*
    b552 + 10624*b358*b553 + 11136*b358*b554 + 3136*b358*b555 + 4648*b358*b556
     + 4872*b358*b557 + 9744*b358*b558 + 14442*b358*b559 + 15138*b358*b560 + 
    5824*b358*b561 + 8632*b358*b562 + 9048*b358*b563 + 10080*b358*b564 + 14940*
    b358*b565 + 15660*b358*b566 + 7616*b358*b567 + 11288*b358*b568 + 11832*b358
    *b569 + 9184*b358*b570 + 13612*b358*b571 + 14268*b358*b572 + 3696*b358*b573
     + 5478*b358*b574 + 5742*b358*b575 + 4480*b358*b579 + 6640*b358*b580 + 6960
    *b358*b581 + 6160*b358*b582 + 9130*b358*b583 + 9570*b358*b584 + 3360*b358*
    b585 + 4980*b358*b586 + 5220*b358*b587 + 2464*b358*b588 + 3652*b358*b589 + 
    3828*b358*b590 + 8512*b358*b591 + 12616*b358*b592 + 13224*b358*b593 + 6160*
    b358*b594 + 9130*b358*b595 + 9570*b358*b596 + 6272*b358*b597 + 9296*b358*
    b598 + 9744*b358*b599 + 8200*b358*b600 + 100*b358*b601 + 9000*b358*b603 + 
    6600*b358*b604 + 4100*b358*b605 + 1500*b358*b606 + 8300*b358*b607 + 9600*
    b358*b608 + 7400*b358*b609 + 4500*b358*b610 + 6500*b358*b611 + 4000*b358*
    b612 + 5400*b358*b613 + 8300*b358*b614 + 1400*b358*b615 + 7100*b358*b616 + 
    7700*b358*b617 + 3600*b358*b618 + 5300*b358*b619 + 3700*b358*b620 + 2600*
    b358*b621 + 8700*b358*b622 + 1100*b358*b623 + 5824*b358*b624 + 8632*b358*
    b625 + 9048*b358*b626 + 2800*b359*b377 + 6560*b359*b378 + 1200*b359*b379 + 
    7200*b359*b380 + 6080*b359*b382 + 7280*b359*b383 + 1040*b359*b384 + 2320*
    b359*b385 + 880*b359*b386 + 6160*b359*b387 + 2560*b359*b388 + 6960*b359*
    b389 + 5360*b359*b390 + 7520*b359*b391 + 160*b359*b392 + 800*b359*b393 + 
    7920*b359*b394 + 4480*b359*b395 + 5600*b359*b396 + 7920*b359*b397 + 4800*
    b359*b398 + 3850*b359*b399 + 9020*b359*b400 + 1650*b359*b401 + 9900*b359*
    b402 + 8360*b359*b404 + 10010*b359*b405 + 1430*b359*b406 + 3190*b359*b407
     + 1210*b359*b408 + 8470*b359*b409 + 3520*b359*b410 + 9570*b359*b411 + 7370
    *b359*b412 + 10340*b359*b413 + 220*b359*b414 + 1100*b359*b415 + 10890*b359*
    b416 + 6160*b359*b417 + 7700*b359*b418 + 10890*b359*b419 + 6600*b359*b420
     + 2100*b359*b421 + 4920*b359*b422 + 900*b359*b423 + 5400*b359*b424 + 4560*
    b359*b426 + 5460*b359*b427 + 780*b359*b428 + 1740*b359*b429 + 660*b359*b430
     + 4620*b359*b431 + 1920*b359*b432 + 5220*b359*b433 + 4020*b359*b434 + 5640
    *b359*b435 + 120*b359*b436 + 600*b359*b437 + 5940*b359*b438 + 3360*b359*
    b439 + 4200*b359*b440 + 5940*b359*b441 + 3600*b359*b442 + 1540*b359*b443 + 
    3608*b359*b444 + 660*b359*b445 + 3960*b359*b446 + 3344*b359*b448 + 4004*
    b359*b449 + 572*b359*b450 + 1276*b359*b451 + 484*b359*b452 + 3388*b359*b453
     + 1408*b359*b454 + 3828*b359*b455 + 2948*b359*b456 + 4136*b359*b457 + 88*
    b359*b458 + 440*b359*b459 + 4356*b359*b460 + 2464*b359*b461 + 3080*b359*
    b462 + 4356*b359*b463 + 2640*b359*b464 + 5320*b359*b465 + 12464*b359*b466
     + 2280*b359*b467 + 13680*b359*b468 + 11552*b359*b470 + 13832*b359*b471 + 
    1976*b359*b472 + 4408*b359*b473 + 1672*b359*b474 + 11704*b359*b475 + 4864*
    b359*b476 + 13224*b359*b477 + 10184*b359*b478 + 14288*b359*b479 + 304*b359*
    b480 + 1520*b359*b481 + 15048*b359*b482 + 8512*b359*b483 + 10640*b359*b484
     + 15048*b359*b485 + 9120*b359*b486 + 3850*b359*b487 + 9020*b359*b488 + 
    1650*b359*b489 + 9900*b359*b490 + 8360*b359*b492 + 10010*b359*b493 + 1430*
    b359*b494 + 3190*b359*b495 + 1210*b359*b496 + 8470*b359*b497 + 3520*b359*
    b498 + 9570*b359*b499 + 7370*b359*b500 + 10340*b359*b501 + 220*b359*b502 + 
    1100*b359*b503 + 10890*b359*b504 + 6160*b359*b505 + 7700*b359*b506 + 10890*
    b359*b507 + 6600*b359*b508 + 3920*b359*b509 + 9184*b359*b510 + 1680*b359*
    b511 + 10080*b359*b512 + 8512*b359*b514 + 10192*b359*b515 + 1456*b359*b516
     + 3248*b359*b517 + 1232*b359*b518 + 8624*b359*b519 + 3584*b359*b520 + 9744
    *b359*b521 + 7504*b359*b522 + 10528*b359*b523 + 224*b359*b524 + 1120*b359*
    b525 + 11088*b359*b526 + 6272*b359*b527 + 7840*b359*b528 + 11088*b359*b529
     + 6720*b359*b530 + 1722*b359*b531 + 3318*b359*b532 + 168*b359*b533 + 2132*
    b359*b534 + 4108*b359*b535 + 208*b359*b536 + 7544*b359*b537 + 14536*b359*
    b538 + 736*b359*b539 + 6478*b359*b540 + 12482*b359*b541 + 632*b359*b542 + 
    8036*b359*b543 + 15484*b359*b544 + 784*b359*b545 + 820*b359*b546 + 1580*
    b359*b547 + 80*b359*b548 + 4182*b359*b549 + 8058*b359*b550 + 408*b359*b551
     + 5248*b359*b552 + 10112*b359*b553 + 512*b359*b554 + 2296*b359*b555 + 4424
    *b359*b556 + 224*b359*b557 + 7134*b359*b558 + 13746*b359*b559 + 696*b359*
    b560 + 4264*b359*b561 + 8216*b359*b562 + 416*b359*b563 + 7380*b359*b564 + 
    14220*b359*b565 + 720*b359*b566 + 5576*b359*b567 + 10744*b359*b568 + 544*
    b359*b569 + 6724*b359*b570 + 12956*b359*b571 + 656*b359*b572 + 2706*b359*
    b573 + 5214*b359*b574 + 264*b359*b575 + 3280*b359*b579 + 6320*b359*b580 + 
    320*b359*b581 + 4510*b359*b582 + 8690*b359*b583 + 440*b359*b584 + 2460*b359
    *b585 + 4740*b359*b586 + 240*b359*b587 + 1804*b359*b588 + 3476*b359*b589 + 
    176*b359*b590 + 6232*b359*b591 + 12008*b359*b592 + 608*b359*b593 + 4510*
    b359*b594 + 8690*b359*b595 + 440*b359*b596 + 4592*b359*b597 + 8848*b359*
    b598 + 448*b359*b599 + 8200*b359*b600 + 1500*b359*b601 + 9000*b359*b602 + 
    7600*b359*b604 + 9100*b359*b605 + 1300*b359*b606 + 2900*b359*b607 + 1100*
    b359*b608 + 7700*b359*b609 + 3200*b359*b610 + 8700*b359*b611 + 6700*b359*
    b612 + 9400*b359*b613 + 7900*b359*b614 + 200*b359*b615 + 1000*b359*b616 + 
    9900*b359*b617 + 5600*b359*b618 + 7000*b359*b619 + 9900*b359*b620 + 6000*
    b359*b621 + 400*b359*b622 + 3500*b359*b623 + 4264*b359*b624 + 8216*b359*
    b625 + 416*b359*b626 + 6560*b360*b377 + 480*b360*b378 + 880*b360*b379 + 
    5280*b360*b380 + 6080*b360*b381 + 4480*b360*b383 + 160*b360*b384 + 4800*
    b360*b385 + 5760*b360*b386 + 5920*b360*b387 + 3680*b360*b388 + 1040*b360*
    b389 + 1600*b360*b390 + 6880*b360*b391 + 6160*b360*b392 + 1200*b360*b393 + 
    7120*b360*b394 + 3840*b360*b395 + 1120*b360*b396 + 7120*b360*b397 + 3520*
    b360*b398 + 9020*b360*b399 + 660*b360*b400 + 1210*b360*b401 + 7260*b360*
    b402 + 8360*b360*b403 + 6160*b360*b405 + 220*b360*b406 + 6600*b360*b407 + 
    7920*b360*b408 + 8140*b360*b409 + 5060*b360*b410 + 1430*b360*b411 + 2200*
    b360*b412 + 9460*b360*b413 + 8470*b360*b414 + 1650*b360*b415 + 9790*b360*
    b416 + 5280*b360*b417 + 1540*b360*b418 + 9790*b360*b419 + 4840*b360*b420 + 
    4920*b360*b421 + 360*b360*b422 + 660*b360*b423 + 3960*b360*b424 + 4560*b360
    *b425 + 3360*b360*b427 + 120*b360*b428 + 3600*b360*b429 + 4320*b360*b430 + 
    4440*b360*b431 + 2760*b360*b432 + 780*b360*b433 + 1200*b360*b434 + 5160*
    b360*b435 + 4620*b360*b436 + 900*b360*b437 + 5340*b360*b438 + 2880*b360*
    b439 + 840*b360*b440 + 5340*b360*b441 + 2640*b360*b442 + 3608*b360*b443 + 
    264*b360*b444 + 484*b360*b445 + 2904*b360*b446 + 3344*b360*b447 + 2464*b360
    *b449 + 88*b360*b450 + 2640*b360*b451 + 3168*b360*b452 + 3256*b360*b453 + 
    2024*b360*b454 + 572*b360*b455 + 880*b360*b456 + 3784*b360*b457 + 3388*b360
    *b458 + 660*b360*b459 + 3916*b360*b460 + 2112*b360*b461 + 616*b360*b462 + 
    3916*b360*b463 + 1936*b360*b464 + 12464*b360*b465 + 912*b360*b466 + 1672*
    b360*b467 + 10032*b360*b468 + 11552*b360*b469 + 8512*b360*b471 + 304*b360*
    b472 + 9120*b360*b473 + 10944*b360*b474 + 11248*b360*b475 + 6992*b360*b476
     + 1976*b360*b477 + 3040*b360*b478 + 13072*b360*b479 + 11704*b360*b480 + 
    2280*b360*b481 + 13528*b360*b482 + 7296*b360*b483 + 2128*b360*b484 + 13528*
    b360*b485 + 6688*b360*b486 + 9020*b360*b487 + 660*b360*b488 + 1210*b360*
    b489 + 7260*b360*b490 + 8360*b360*b491 + 6160*b360*b493 + 220*b360*b494 + 
    6600*b360*b495 + 7920*b360*b496 + 8140*b360*b497 + 5060*b360*b498 + 1430*
    b360*b499 + 2200*b360*b500 + 9460*b360*b501 + 8470*b360*b502 + 1650*b360*
    b503 + 9790*b360*b504 + 5280*b360*b505 + 1540*b360*b506 + 9790*b360*b507 + 
    4840*b360*b508 + 9184*b360*b509 + 672*b360*b510 + 1232*b360*b511 + 7392*
    b360*b512 + 8512*b360*b513 + 6272*b360*b515 + 224*b360*b516 + 6720*b360*
    b517 + 8064*b360*b518 + 8288*b360*b519 + 5152*b360*b520 + 1456*b360*b521 + 
    2240*b360*b522 + 9632*b360*b523 + 8624*b360*b524 + 1680*b360*b525 + 9968*
    b360*b526 + 5376*b360*b527 + 1568*b360*b528 + 9968*b360*b529 + 4928*b360*
    b530 + 252*b360*b531 + 168*b360*b532 + 2478*b360*b533 + 312*b360*b534 + 208
    *b360*b535 + 3068*b360*b536 + 1104*b360*b537 + 736*b360*b538 + 10856*b360*
    b539 + 948*b360*b540 + 632*b360*b541 + 9322*b360*b542 + 1176*b360*b543 + 
    784*b360*b544 + 11564*b360*b545 + 120*b360*b546 + 80*b360*b547 + 1180*b360*
    b548 + 612*b360*b549 + 408*b360*b550 + 6018*b360*b551 + 768*b360*b552 + 512
    *b360*b553 + 7552*b360*b554 + 336*b360*b555 + 224*b360*b556 + 3304*b360*
    b557 + 1044*b360*b558 + 696*b360*b559 + 10266*b360*b560 + 624*b360*b561 + 
    416*b360*b562 + 6136*b360*b563 + 1080*b360*b564 + 720*b360*b565 + 10620*
    b360*b566 + 816*b360*b567 + 544*b360*b568 + 8024*b360*b569 + 984*b360*b570
     + 656*b360*b571 + 9676*b360*b572 + 396*b360*b573 + 264*b360*b574 + 3894*
    b360*b575 + 480*b360*b579 + 320*b360*b580 + 4720*b360*b581 + 660*b360*b582
     + 440*b360*b583 + 6490*b360*b584 + 360*b360*b585 + 240*b360*b586 + 3540*
    b360*b587 + 264*b360*b588 + 176*b360*b589 + 2596*b360*b590 + 912*b360*b591
     + 608*b360*b592 + 8968*b360*b593 + 660*b360*b594 + 440*b360*b595 + 6490*
    b360*b596 + 672*b360*b597 + 448*b360*b598 + 6608*b360*b599 + 600*b360*b600
     + 1100*b360*b601 + 6600*b360*b602 + 7600*b360*b603 + 5600*b360*b605 + 200*
    b360*b606 + 6000*b360*b607 + 7200*b360*b608 + 7400*b360*b609 + 4600*b360*
    b610 + 1300*b360*b611 + 2000*b360*b612 + 8600*b360*b613 + 400*b360*b614 + 
    7700*b360*b615 + 1500*b360*b616 + 8900*b360*b617 + 4800*b360*b618 + 1400*
    b360*b619 + 8900*b360*b620 + 4400*b360*b621 + 5900*b360*b622 + 8200*b360*
    b623 + 624*b360*b624 + 416*b360*b625 + 6136*b360*b626 + 2080*b361*b377 + 
    5680*b361*b378 + 2800*b361*b379 + 3280*b361*b380 + 7280*b361*b381 + 4480*
    b361*b382 + 1760*b361*b384 + 4560*b361*b385 + 5040*b361*b386 + 480*b361*
    b387 + 4960*b361*b389 + 3280*b361*b390 + 4960*b361*b391 + 2000*b361*b392 + 
    6000*b361*b393 + 6080*b361*b394 + 3200*b361*b395 + 5280*b361*b396 + 4640*
    b361*b397 + 2400*b361*b398 + 2860*b361*b399 + 7810*b361*b400 + 3850*b361*
    b401 + 4510*b361*b402 + 10010*b361*b403 + 6160*b361*b404 + 2420*b361*b406
     + 6270*b361*b407 + 6930*b361*b408 + 660*b361*b409 + 6820*b361*b411 + 4510*
    b361*b412 + 6820*b361*b413 + 2750*b361*b414 + 8250*b361*b415 + 8360*b361*
    b416 + 4400*b361*b417 + 7260*b361*b418 + 6380*b361*b419 + 3300*b361*b420 + 
    1560*b361*b421 + 4260*b361*b422 + 2100*b361*b423 + 2460*b361*b424 + 5460*
    b361*b425 + 3360*b361*b426 + 1320*b361*b428 + 3420*b361*b429 + 3780*b361*
    b430 + 360*b361*b431 + 3720*b361*b433 + 2460*b361*b434 + 3720*b361*b435 + 
    1500*b361*b436 + 4500*b361*b437 + 4560*b361*b438 + 2400*b361*b439 + 3960*
    b361*b440 + 3480*b361*b441 + 1800*b361*b442 + 1144*b361*b443 + 3124*b361*
    b444 + 1540*b361*b445 + 1804*b361*b446 + 4004*b361*b447 + 2464*b361*b448 + 
    968*b361*b450 + 2508*b361*b451 + 2772*b361*b452 + 264*b361*b453 + 2728*b361
    *b455 + 1804*b361*b456 + 2728*b361*b457 + 1100*b361*b458 + 3300*b361*b459
     + 3344*b361*b460 + 1760*b361*b461 + 2904*b361*b462 + 2552*b361*b463 + 1320
    *b361*b464 + 3952*b361*b465 + 10792*b361*b466 + 5320*b361*b467 + 6232*b361*
    b468 + 13832*b361*b469 + 8512*b361*b470 + 3344*b361*b472 + 8664*b361*b473
     + 9576*b361*b474 + 912*b361*b475 + 9424*b361*b477 + 6232*b361*b478 + 9424*
    b361*b479 + 3800*b361*b480 + 11400*b361*b481 + 11552*b361*b482 + 6080*b361*
    b483 + 10032*b361*b484 + 8816*b361*b485 + 4560*b361*b486 + 2860*b361*b487
     + 7810*b361*b488 + 3850*b361*b489 + 4510*b361*b490 + 10010*b361*b491 + 
    6160*b361*b492 + 2420*b361*b494 + 6270*b361*b495 + 6930*b361*b496 + 660*
    b361*b497 + 6820*b361*b499 + 4510*b361*b500 + 6820*b361*b501 + 2750*b361*
    b502 + 8250*b361*b503 + 8360*b361*b504 + 4400*b361*b505 + 7260*b361*b506 + 
    6380*b361*b507 + 3300*b361*b508 + 2912*b361*b509 + 7952*b361*b510 + 3920*
    b361*b511 + 4592*b361*b512 + 10192*b361*b513 + 6272*b361*b514 + 2464*b361*
    b516 + 6384*b361*b517 + 7056*b361*b518 + 672*b361*b519 + 6944*b361*b521 + 
    4592*b361*b522 + 6944*b361*b523 + 2800*b361*b524 + 8400*b361*b525 + 8512*
    b361*b526 + 4480*b361*b527 + 7392*b361*b528 + 6496*b361*b529 + 3360*b361*
    b530 + 1050*b361*b531 + 1932*b361*b532 + 2856*b361*b533 + 1300*b361*b534 + 
    2392*b361*b535 + 3536*b361*b536 + 4600*b361*b537 + 8464*b361*b538 + 12512*
    b361*b539 + 3950*b361*b540 + 7268*b361*b541 + 10744*b361*b542 + 4900*b361*
    b543 + 9016*b361*b544 + 13328*b361*b545 + 500*b361*b546 + 920*b361*b547 + 
    1360*b361*b548 + 2550*b361*b549 + 4692*b361*b550 + 6936*b361*b551 + 3200*
    b361*b552 + 5888*b361*b553 + 8704*b361*b554 + 1400*b361*b555 + 2576*b361*
    b556 + 3808*b361*b557 + 4350*b361*b558 + 8004*b361*b559 + 11832*b361*b560
     + 2600*b361*b561 + 4784*b361*b562 + 7072*b361*b563 + 4500*b361*b564 + 8280
    *b361*b565 + 12240*b361*b566 + 3400*b361*b567 + 6256*b361*b568 + 9248*b361*
    b569 + 4100*b361*b570 + 7544*b361*b571 + 11152*b361*b572 + 1650*b361*b573
     + 3036*b361*b574 + 4488*b361*b575 + 2000*b361*b579 + 3680*b361*b580 + 5440
    *b361*b581 + 2750*b361*b582 + 5060*b361*b583 + 7480*b361*b584 + 1500*b361*
    b585 + 2760*b361*b586 + 4080*b361*b587 + 1100*b361*b588 + 2024*b361*b589 + 
    2992*b361*b590 + 3800*b361*b591 + 6992*b361*b592 + 10336*b361*b593 + 2750*
    b361*b594 + 5060*b361*b595 + 7480*b361*b596 + 2800*b361*b597 + 5152*b361*
    b598 + 7616*b361*b599 + 7100*b361*b600 + 3500*b361*b601 + 4100*b361*b602 + 
    9100*b361*b603 + 5600*b361*b604 + 2200*b361*b606 + 5700*b361*b607 + 6300*
    b361*b608 + 600*b361*b609 + 6200*b361*b611 + 4100*b361*b612 + 6200*b361*
    b613 + 4600*b361*b614 + 2500*b361*b615 + 7500*b361*b616 + 7600*b361*b617 + 
    4000*b361*b618 + 6600*b361*b619 + 5800*b361*b620 + 3000*b361*b621 + 6800*
    b361*b622 + 2600*b361*b623 + 2600*b361*b624 + 4784*b361*b625 + 7072*b361*
    b626 + 5520*b362*b377 + 640*b362*b378 + 880*b362*b379 + 1200*b362*b380 + 
    1040*b362*b381 + 160*b362*b382 + 1760*b362*b383 + 6240*b362*b385 + 7280*
    b362*b386 + 1040*b362*b387 + 4720*b362*b388 + 3920*b362*b389 + 6800*b362*
    b390 + 6720*b362*b391 + 3040*b362*b392 + 3280*b362*b393 + 4480*b362*b394 + 
    3120*b362*b395 + 4240*b362*b396 + 6160*b362*b397 + 4000*b362*b398 + 7590*
    b362*b399 + 880*b362*b400 + 1210*b362*b401 + 1650*b362*b402 + 1430*b362*
    b403 + 220*b362*b404 + 2420*b362*b405 + 8580*b362*b407 + 10010*b362*b408 + 
    1430*b362*b409 + 6490*b362*b410 + 5390*b362*b411 + 9350*b362*b412 + 9240*
    b362*b413 + 4180*b362*b414 + 4510*b362*b415 + 6160*b362*b416 + 4290*b362*
    b417 + 5830*b362*b418 + 8470*b362*b419 + 5500*b362*b420 + 4140*b362*b421 + 
    480*b362*b422 + 660*b362*b423 + 900*b362*b424 + 780*b362*b425 + 120*b362*
    b426 + 1320*b362*b427 + 4680*b362*b429 + 5460*b362*b430 + 780*b362*b431 + 
    3540*b362*b432 + 2940*b362*b433 + 5100*b362*b434 + 5040*b362*b435 + 2280*
    b362*b436 + 2460*b362*b437 + 3360*b362*b438 + 2340*b362*b439 + 3180*b362*
    b440 + 4620*b362*b441 + 3000*b362*b442 + 3036*b362*b443 + 352*b362*b444 + 
    484*b362*b445 + 660*b362*b446 + 572*b362*b447 + 88*b362*b448 + 968*b362*
    b449 + 3432*b362*b451 + 4004*b362*b452 + 572*b362*b453 + 2596*b362*b454 + 
    2156*b362*b455 + 3740*b362*b456 + 3696*b362*b457 + 1672*b362*b458 + 1804*
    b362*b459 + 2464*b362*b460 + 1716*b362*b461 + 2332*b362*b462 + 3388*b362*
    b463 + 2200*b362*b464 + 10488*b362*b465 + 1216*b362*b466 + 1672*b362*b467
     + 2280*b362*b468 + 1976*b362*b469 + 304*b362*b470 + 3344*b362*b471 + 11856
    *b362*b473 + 13832*b362*b474 + 1976*b362*b475 + 8968*b362*b476 + 7448*b362*
    b477 + 12920*b362*b478 + 12768*b362*b479 + 5776*b362*b480 + 6232*b362*b481
     + 8512*b362*b482 + 5928*b362*b483 + 8056*b362*b484 + 11704*b362*b485 + 
    7600*b362*b486 + 7590*b362*b487 + 880*b362*b488 + 1210*b362*b489 + 1650*
    b362*b490 + 1430*b362*b491 + 220*b362*b492 + 2420*b362*b493 + 8580*b362*
    b495 + 10010*b362*b496 + 1430*b362*b497 + 6490*b362*b498 + 5390*b362*b499
     + 9350*b362*b500 + 9240*b362*b501 + 4180*b362*b502 + 4510*b362*b503 + 6160
    *b362*b504 + 4290*b362*b505 + 5830*b362*b506 + 8470*b362*b507 + 5500*b362*
    b508 + 7728*b362*b509 + 896*b362*b510 + 1232*b362*b511 + 1680*b362*b512 + 
    1456*b362*b513 + 224*b362*b514 + 2464*b362*b515 + 8736*b362*b517 + 10192*
    b362*b518 + 1456*b362*b519 + 6608*b362*b520 + 5488*b362*b521 + 9520*b362*
    b522 + 9408*b362*b523 + 4256*b362*b524 + 4592*b362*b525 + 6272*b362*b526 + 
    4368*b362*b527 + 5936*b362*b528 + 8624*b362*b529 + 5600*b362*b530 + 420*
    b362*b531 + 336*b362*b532 + 1260*b362*b533 + 520*b362*b534 + 416*b362*b535
     + 1560*b362*b536 + 1840*b362*b537 + 1472*b362*b538 + 5520*b362*b539 + 1580
    *b362*b540 + 1264*b362*b541 + 4740*b362*b542 + 1960*b362*b543 + 1568*b362*
    b544 + 5880*b362*b545 + 200*b362*b546 + 160*b362*b547 + 600*b362*b548 + 
    1020*b362*b549 + 816*b362*b550 + 3060*b362*b551 + 1280*b362*b552 + 1024*
    b362*b553 + 3840*b362*b554 + 560*b362*b555 + 448*b362*b556 + 1680*b362*b557
     + 1740*b362*b558 + 1392*b362*b559 + 5220*b362*b560 + 1040*b362*b561 + 832*
    b362*b562 + 3120*b362*b563 + 1800*b362*b564 + 1440*b362*b565 + 5400*b362*
    b566 + 1360*b362*b567 + 1088*b362*b568 + 4080*b362*b569 + 1640*b362*b570 + 
    1312*b362*b571 + 4920*b362*b572 + 660*b362*b573 + 528*b362*b574 + 1980*b362
    *b575 + 800*b362*b579 + 640*b362*b580 + 2400*b362*b581 + 1100*b362*b582 + 
    880*b362*b583 + 3300*b362*b584 + 600*b362*b585 + 480*b362*b586 + 1800*b362*
    b587 + 440*b362*b588 + 352*b362*b589 + 1320*b362*b590 + 1520*b362*b591 + 
    1216*b362*b592 + 4560*b362*b593 + 1100*b362*b594 + 880*b362*b595 + 3300*
    b362*b596 + 1120*b362*b597 + 896*b362*b598 + 3360*b362*b599 + 800*b362*b600
     + 1100*b362*b601 + 1500*b362*b602 + 1300*b362*b603 + 200*b362*b604 + 2200*
    b362*b605 + 7800*b362*b607 + 9100*b362*b608 + 1300*b362*b609 + 5900*b362*
    b610 + 4900*b362*b611 + 8500*b362*b612 + 8400*b362*b613 + 800*b362*b614 + 
    3800*b362*b615 + 4100*b362*b616 + 5600*b362*b617 + 3900*b362*b618 + 5300*
    b362*b619 + 7700*b362*b620 + 5000*b362*b621 + 3000*b362*b622 + 6900*b362*
    b623 + 1040*b362*b624 + 832*b362*b625 + 3120*b362*b626 + 4480*b363*b377 + 
    6160*b363*b378 + 1600*b363*b379 + 6640*b363*b380 + 2320*b363*b381 + 4800*
    b363*b382 + 4560*b363*b383 + 6240*b363*b384 + 4640*b363*b386 + 4400*b363*
    b387 + 1520*b363*b388 + 6800*b363*b389 + 4160*b363*b390 + 2720*b363*b391 + 
    3200*b363*b392 + 5520*b363*b393 + 960*b363*b394 + 6800*b363*b395 + 5760*
    b363*b396 + 560*b363*b397 + 3920*b363*b398 + 6160*b363*b399 + 8470*b363*
    b400 + 2200*b363*b401 + 9130*b363*b402 + 3190*b363*b403 + 6600*b363*b404 + 
    6270*b363*b405 + 8580*b363*b406 + 6380*b363*b408 + 6050*b363*b409 + 2090*
    b363*b410 + 9350*b363*b411 + 5720*b363*b412 + 3740*b363*b413 + 4400*b363*
    b414 + 7590*b363*b415 + 1320*b363*b416 + 9350*b363*b417 + 7920*b363*b418 + 
    770*b363*b419 + 5390*b363*b420 + 3360*b363*b421 + 4620*b363*b422 + 1200*
    b363*b423 + 4980*b363*b424 + 1740*b363*b425 + 3600*b363*b426 + 3420*b363*
    b427 + 4680*b363*b428 + 3480*b363*b430 + 3300*b363*b431 + 1140*b363*b432 + 
    5100*b363*b433 + 3120*b363*b434 + 2040*b363*b435 + 2400*b363*b436 + 4140*
    b363*b437 + 720*b363*b438 + 5100*b363*b439 + 4320*b363*b440 + 420*b363*b441
     + 2940*b363*b442 + 2464*b363*b443 + 3388*b363*b444 + 880*b363*b445 + 3652*
    b363*b446 + 1276*b363*b447 + 2640*b363*b448 + 2508*b363*b449 + 3432*b363*
    b450 + 2552*b363*b452 + 2420*b363*b453 + 836*b363*b454 + 3740*b363*b455 + 
    2288*b363*b456 + 1496*b363*b457 + 1760*b363*b458 + 3036*b363*b459 + 528*
    b363*b460 + 3740*b363*b461 + 3168*b363*b462 + 308*b363*b463 + 2156*b363*
    b464 + 8512*b363*b465 + 11704*b363*b466 + 3040*b363*b467 + 12616*b363*b468
     + 4408*b363*b469 + 9120*b363*b470 + 8664*b363*b471 + 11856*b363*b472 + 
    8816*b363*b474 + 8360*b363*b475 + 2888*b363*b476 + 12920*b363*b477 + 7904*
    b363*b478 + 5168*b363*b479 + 6080*b363*b480 + 10488*b363*b481 + 1824*b363*
    b482 + 12920*b363*b483 + 10944*b363*b484 + 1064*b363*b485 + 7448*b363*b486
     + 6160*b363*b487 + 8470*b363*b488 + 2200*b363*b489 + 9130*b363*b490 + 3190
    *b363*b491 + 6600*b363*b492 + 6270*b363*b493 + 8580*b363*b494 + 6380*b363*
    b496 + 6050*b363*b497 + 2090*b363*b498 + 9350*b363*b499 + 5720*b363*b500 + 
    3740*b363*b501 + 4400*b363*b502 + 7590*b363*b503 + 1320*b363*b504 + 9350*
    b363*b505 + 7920*b363*b506 + 770*b363*b507 + 5390*b363*b508 + 6272*b363*
    b509 + 8624*b363*b510 + 2240*b363*b511 + 9296*b363*b512 + 3248*b363*b513 + 
    6720*b363*b514 + 6384*b363*b515 + 8736*b363*b516 + 6496*b363*b518 + 6160*
    b363*b519 + 2128*b363*b520 + 9520*b363*b521 + 5824*b363*b522 + 3808*b363*
    b523 + 4480*b363*b524 + 7728*b363*b525 + 1344*b363*b526 + 9520*b363*b527 + 
    8064*b363*b528 + 784*b363*b529 + 5488*b363*b530 + 168*b363*b531 + 2226*b363
    *b532 + 1932*b363*b533 + 208*b363*b534 + 2756*b363*b535 + 2392*b363*b536 + 
    736*b363*b537 + 9752*b363*b538 + 8464*b363*b539 + 632*b363*b540 + 8374*b363
    *b541 + 7268*b363*b542 + 784*b363*b543 + 10388*b363*b544 + 9016*b363*b545
     + 80*b363*b546 + 1060*b363*b547 + 920*b363*b548 + 408*b363*b549 + 5406*
    b363*b550 + 4692*b363*b551 + 512*b363*b552 + 6784*b363*b553 + 5888*b363*
    b554 + 224*b363*b555 + 2968*b363*b556 + 2576*b363*b557 + 696*b363*b558 + 
    9222*b363*b559 + 8004*b363*b560 + 416*b363*b561 + 5512*b363*b562 + 4784*
    b363*b563 + 720*b363*b564 + 9540*b363*b565 + 8280*b363*b566 + 544*b363*b567
     + 7208*b363*b568 + 6256*b363*b569 + 656*b363*b570 + 8692*b363*b571 + 7544*
    b363*b572 + 264*b363*b573 + 3498*b363*b574 + 3036*b363*b575 + 320*b363*b579
     + 4240*b363*b580 + 3680*b363*b581 + 440*b363*b582 + 5830*b363*b583 + 5060*
    b363*b584 + 240*b363*b585 + 3180*b363*b586 + 2760*b363*b587 + 176*b363*b588
     + 2332*b363*b589 + 2024*b363*b590 + 608*b363*b591 + 8056*b363*b592 + 6992*
    b363*b593 + 440*b363*b594 + 5830*b363*b595 + 5060*b363*b596 + 448*b363*b597
     + 5936*b363*b598 + 5152*b363*b599 + 7700*b363*b600 + 2000*b363*b601 + 8300
    *b363*b602 + 2900*b363*b603 + 6000*b363*b604 + 5700*b363*b605 + 7800*b363*
    b606 + 5800*b363*b608 + 5500*b363*b609 + 1900*b363*b610 + 8500*b363*b611 + 
    5200*b363*b612 + 3400*b363*b613 + 5300*b363*b614 + 4000*b363*b615 + 6900*
    b363*b616 + 1200*b363*b617 + 8500*b363*b618 + 7200*b363*b619 + 700*b363*
    b620 + 4900*b363*b621 + 4600*b363*b622 + 5600*b363*b623 + 416*b363*b624 + 
    5512*b363*b625 + 4784*b363*b626 + 6880*b364*b377 + 5920*b364*b378 + 1680*
    b364*b379 + 7680*b364*b380 + 880*b364*b381 + 5760*b364*b382 + 5040*b364*
    b383 + 7280*b364*b384 + 4640*b364*b385 + 6960*b364*b387 + 4640*b364*b388 + 
    1360*b364*b389 + 5440*b364*b390 + 2160*b364*b391 + 480*b364*b392 + 5360*
    b364*b393 + 2080*b364*b394 + 6560*b364*b395 + 3520*b364*b396 + 2800*b364*
    b397 + 240*b364*b398 + 9460*b364*b399 + 8140*b364*b400 + 2310*b364*b401 + 
    10560*b364*b402 + 1210*b364*b403 + 7920*b364*b404 + 6930*b364*b405 + 10010*
    b364*b406 + 6380*b364*b407 + 9570*b364*b409 + 6380*b364*b410 + 1870*b364*
    b411 + 7480*b364*b412 + 2970*b364*b413 + 660*b364*b414 + 7370*b364*b415 + 
    2860*b364*b416 + 9020*b364*b417 + 4840*b364*b418 + 3850*b364*b419 + 330*
    b364*b420 + 5160*b364*b421 + 4440*b364*b422 + 1260*b364*b423 + 5760*b364*
    b424 + 660*b364*b425 + 4320*b364*b426 + 3780*b364*b427 + 5460*b364*b428 + 
    3480*b364*b429 + 5220*b364*b431 + 3480*b364*b432 + 1020*b364*b433 + 4080*
    b364*b434 + 1620*b364*b435 + 360*b364*b436 + 4020*b364*b437 + 1560*b364*
    b438 + 4920*b364*b439 + 2640*b364*b440 + 2100*b364*b441 + 180*b364*b442 + 
    3784*b364*b443 + 3256*b364*b444 + 924*b364*b445 + 4224*b364*b446 + 484*b364
    *b447 + 3168*b364*b448 + 2772*b364*b449 + 4004*b364*b450 + 2552*b364*b451
     + 3828*b364*b453 + 2552*b364*b454 + 748*b364*b455 + 2992*b364*b456 + 1188*
    b364*b457 + 264*b364*b458 + 2948*b364*b459 + 1144*b364*b460 + 3608*b364*
    b461 + 1936*b364*b462 + 1540*b364*b463 + 132*b364*b464 + 13072*b364*b465 + 
    11248*b364*b466 + 3192*b364*b467 + 14592*b364*b468 + 1672*b364*b469 + 10944
    *b364*b470 + 9576*b364*b471 + 13832*b364*b472 + 8816*b364*b473 + 13224*b364
    *b475 + 8816*b364*b476 + 2584*b364*b477 + 10336*b364*b478 + 4104*b364*b479
     + 912*b364*b480 + 10184*b364*b481 + 3952*b364*b482 + 12464*b364*b483 + 
    6688*b364*b484 + 5320*b364*b485 + 456*b364*b486 + 9460*b364*b487 + 8140*
    b364*b488 + 2310*b364*b489 + 10560*b364*b490 + 1210*b364*b491 + 7920*b364*
    b492 + 6930*b364*b493 + 10010*b364*b494 + 6380*b364*b495 + 9570*b364*b497
     + 6380*b364*b498 + 1870*b364*b499 + 7480*b364*b500 + 2970*b364*b501 + 660*
    b364*b502 + 7370*b364*b503 + 2860*b364*b504 + 9020*b364*b505 + 4840*b364*
    b506 + 3850*b364*b507 + 330*b364*b508 + 9632*b364*b509 + 8288*b364*b510 + 
    2352*b364*b511 + 10752*b364*b512 + 1232*b364*b513 + 8064*b364*b514 + 7056*
    b364*b515 + 10192*b364*b516 + 6496*b364*b517 + 9744*b364*b519 + 6496*b364*
    b520 + 1904*b364*b521 + 7616*b364*b522 + 3024*b364*b523 + 672*b364*b524 + 
    7504*b364*b525 + 2912*b364*b526 + 9184*b364*b527 + 4928*b364*b528 + 3920*
    b364*b529 + 336*b364*b530 + 2646*b364*b531 + 882*b364*b532 + 2604*b364*b533
     + 3276*b364*b534 + 1092*b364*b535 + 3224*b364*b536 + 11592*b364*b537 + 
    3864*b364*b538 + 11408*b364*b539 + 9954*b364*b540 + 3318*b364*b541 + 9796*
    b364*b542 + 12348*b364*b543 + 4116*b364*b544 + 12152*b364*b545 + 1260*b364*
    b546 + 420*b364*b547 + 1240*b364*b548 + 6426*b364*b549 + 2142*b364*b550 + 
    6324*b364*b551 + 8064*b364*b552 + 2688*b364*b553 + 7936*b364*b554 + 3528*
    b364*b555 + 1176*b364*b556 + 3472*b364*b557 + 10962*b364*b558 + 3654*b364*
    b559 + 10788*b364*b560 + 6552*b364*b561 + 2184*b364*b562 + 6448*b364*b563
     + 11340*b364*b564 + 3780*b364*b565 + 11160*b364*b566 + 8568*b364*b567 + 
    2856*b364*b568 + 8432*b364*b569 + 10332*b364*b570 + 3444*b364*b571 + 10168*
    b364*b572 + 4158*b364*b573 + 1386*b364*b574 + 4092*b364*b575 + 5040*b364*
    b579 + 1680*b364*b580 + 4960*b364*b581 + 6930*b364*b582 + 2310*b364*b583 + 
    6820*b364*b584 + 3780*b364*b585 + 1260*b364*b586 + 3720*b364*b587 + 2772*
    b364*b588 + 924*b364*b589 + 2728*b364*b590 + 9576*b364*b591 + 3192*b364*
    b592 + 9424*b364*b593 + 6930*b364*b594 + 2310*b364*b595 + 6820*b364*b596 + 
    7056*b364*b597 + 2352*b364*b598 + 6944*b364*b599 + 7400*b364*b600 + 2100*
    b364*b601 + 9600*b364*b602 + 1100*b364*b603 + 7200*b364*b604 + 6300*b364*
    b605 + 9100*b364*b606 + 5800*b364*b607 + 8700*b364*b609 + 5800*b364*b610 + 
    1700*b364*b611 + 6800*b364*b612 + 2700*b364*b613 + 2100*b364*b614 + 600*
    b364*b615 + 6700*b364*b616 + 2600*b364*b617 + 8200*b364*b618 + 4400*b364*
    b619 + 3500*b364*b620 + 300*b364*b621 + 6200*b364*b622 + 8600*b364*b623 + 
    6552*b364*b624 + 2184*b364*b625 + 6448*b364*b626 + 3600*b365*b377 + 2400*
    b365*b378 + 4880*b365*b379 + 5920*b365*b380 + 6160*b365*b381 + 5920*b365*
    b382 + 480*b365*b383 + 1040*b365*b384 + 4400*b365*b385 + 6960*b365*b386 + 
    640*b365*b388 + 4080*b365*b389 + 80*b365*b390 + 7280*b365*b391 + 6960*b365*
    b392 + 5760*b365*b393 + 3600*b365*b394 + 7680*b365*b395 + 560*b365*b396 + 
    6960*b365*b397 + 5440*b365*b398 + 4950*b365*b399 + 3300*b365*b400 + 6710*
    b365*b401 + 8140*b365*b402 + 8470*b365*b403 + 8140*b365*b404 + 660*b365*
    b405 + 1430*b365*b406 + 6050*b365*b407 + 9570*b365*b408 + 880*b365*b410 + 
    5610*b365*b411 + 110*b365*b412 + 10010*b365*b413 + 9570*b365*b414 + 7920*
    b365*b415 + 4950*b365*b416 + 10560*b365*b417 + 770*b365*b418 + 9570*b365*
    b419 + 7480*b365*b420 + 2700*b365*b421 + 1800*b365*b422 + 3660*b365*b423 + 
    4440*b365*b424 + 4620*b365*b425 + 4440*b365*b426 + 360*b365*b427 + 780*b365
    *b428 + 3300*b365*b429 + 5220*b365*b430 + 480*b365*b432 + 3060*b365*b433 + 
    60*b365*b434 + 5460*b365*b435 + 5220*b365*b436 + 4320*b365*b437 + 2700*b365
    *b438 + 5760*b365*b439 + 420*b365*b440 + 5220*b365*b441 + 4080*b365*b442 + 
    1980*b365*b443 + 1320*b365*b444 + 2684*b365*b445 + 3256*b365*b446 + 3388*
    b365*b447 + 3256*b365*b448 + 264*b365*b449 + 572*b365*b450 + 2420*b365*b451
     + 3828*b365*b452 + 352*b365*b454 + 2244*b365*b455 + 44*b365*b456 + 4004*
    b365*b457 + 3828*b365*b458 + 3168*b365*b459 + 1980*b365*b460 + 4224*b365*
    b461 + 308*b365*b462 + 3828*b365*b463 + 2992*b365*b464 + 6840*b365*b465 + 
    4560*b365*b466 + 9272*b365*b467 + 11248*b365*b468 + 11704*b365*b469 + 11248
    *b365*b470 + 912*b365*b471 + 1976*b365*b472 + 8360*b365*b473 + 13224*b365*
    b474 + 1216*b365*b476 + 7752*b365*b477 + 152*b365*b478 + 13832*b365*b479 + 
    13224*b365*b480 + 10944*b365*b481 + 6840*b365*b482 + 14592*b365*b483 + 1064
    *b365*b484 + 13224*b365*b485 + 10336*b365*b486 + 4950*b365*b487 + 3300*b365
    *b488 + 6710*b365*b489 + 8140*b365*b490 + 8470*b365*b491 + 8140*b365*b492
     + 660*b365*b493 + 1430*b365*b494 + 6050*b365*b495 + 9570*b365*b496 + 880*
    b365*b498 + 5610*b365*b499 + 110*b365*b500 + 10010*b365*b501 + 9570*b365*
    b502 + 7920*b365*b503 + 4950*b365*b504 + 10560*b365*b505 + 770*b365*b506 + 
    9570*b365*b507 + 7480*b365*b508 + 5040*b365*b509 + 3360*b365*b510 + 6832*
    b365*b511 + 8288*b365*b512 + 8624*b365*b513 + 8288*b365*b514 + 672*b365*
    b515 + 1456*b365*b516 + 6160*b365*b517 + 9744*b365*b518 + 896*b365*b520 + 
    5712*b365*b521 + 112*b365*b522 + 10192*b365*b523 + 9744*b365*b524 + 8064*
    b365*b525 + 5040*b365*b526 + 10752*b365*b527 + 784*b365*b528 + 9744*b365*
    b529 + 7616*b365*b530 + 252*b365*b531 + 1638*b365*b532 + 1386*b365*b533 + 
    312*b365*b534 + 2028*b365*b535 + 1716*b365*b536 + 1104*b365*b537 + 7176*
    b365*b538 + 6072*b365*b539 + 948*b365*b540 + 6162*b365*b541 + 5214*b365*
    b542 + 1176*b365*b543 + 7644*b365*b544 + 6468*b365*b545 + 120*b365*b546 + 
    780*b365*b547 + 660*b365*b548 + 612*b365*b549 + 3978*b365*b550 + 3366*b365*
    b551 + 768*b365*b552 + 4992*b365*b553 + 4224*b365*b554 + 336*b365*b555 + 
    2184*b365*b556 + 1848*b365*b557 + 1044*b365*b558 + 6786*b365*b559 + 5742*
    b365*b560 + 624*b365*b561 + 4056*b365*b562 + 3432*b365*b563 + 1080*b365*
    b564 + 7020*b365*b565 + 5940*b365*b566 + 816*b365*b567 + 5304*b365*b568 + 
    4488*b365*b569 + 984*b365*b570 + 6396*b365*b571 + 5412*b365*b572 + 396*b365
    *b573 + 2574*b365*b574 + 2178*b365*b575 + 480*b365*b579 + 3120*b365*b580 + 
    2640*b365*b581 + 660*b365*b582 + 4290*b365*b583 + 3630*b365*b584 + 360*b365
    *b585 + 2340*b365*b586 + 1980*b365*b587 + 264*b365*b588 + 1716*b365*b589 + 
    1452*b365*b590 + 912*b365*b591 + 5928*b365*b592 + 5016*b365*b593 + 660*b365
    *b594 + 4290*b365*b595 + 3630*b365*b596 + 672*b365*b597 + 4368*b365*b598 + 
    3696*b365*b599 + 3000*b365*b600 + 6100*b365*b601 + 7400*b365*b602 + 7700*
    b365*b603 + 7400*b365*b604 + 600*b365*b605 + 1300*b365*b606 + 5500*b365*
    b607 + 8700*b365*b608 + 800*b365*b610 + 5100*b365*b611 + 100*b365*b612 + 
    9100*b365*b613 + 3900*b365*b614 + 8700*b365*b615 + 7200*b365*b616 + 4500*
    b365*b617 + 9600*b365*b618 + 700*b365*b619 + 8700*b365*b620 + 6800*b365*
    b621 + 3300*b365*b622 + 4500*b365*b623 + 624*b365*b624 + 4056*b365*b625 + 
    3432*b365*b626 + 7280*b366*b377 + 7120*b366*b378 + 6400*b366*b379 + 3600*
    b366*b380 + 2560*b366*b381 + 3680*b366*b382 + 4720*b366*b384 + 1520*b366*
    b385 + 4640*b366*b386 + 640*b366*b387 + 240*b366*b389 + 1680*b366*b390 + 
    7200*b366*b391 + 3760*b366*b392 + 2000*b366*b393 + 2400*b366*b394 + 3440*
    b366*b395 + 7760*b366*b396 + 2640*b366*b397 + 2800*b366*b398 + 10010*b366*
    b399 + 9790*b366*b400 + 8800*b366*b401 + 4950*b366*b402 + 3520*b366*b403 + 
    5060*b366*b404 + 6490*b366*b406 + 2090*b366*b407 + 6380*b366*b408 + 880*
    b366*b409 + 330*b366*b411 + 2310*b366*b412 + 9900*b366*b413 + 5170*b366*
    b414 + 2750*b366*b415 + 3300*b366*b416 + 4730*b366*b417 + 10670*b366*b418
     + 3630*b366*b419 + 3850*b366*b420 + 5460*b366*b421 + 5340*b366*b422 + 4800
    *b366*b423 + 2700*b366*b424 + 1920*b366*b425 + 2760*b366*b426 + 3540*b366*
    b428 + 1140*b366*b429 + 3480*b366*b430 + 480*b366*b431 + 180*b366*b433 + 
    1260*b366*b434 + 5400*b366*b435 + 2820*b366*b436 + 1500*b366*b437 + 1800*
    b366*b438 + 2580*b366*b439 + 5820*b366*b440 + 1980*b366*b441 + 2100*b366*
    b442 + 4004*b366*b443 + 3916*b366*b444 + 3520*b366*b445 + 1980*b366*b446 + 
    1408*b366*b447 + 2024*b366*b448 + 2596*b366*b450 + 836*b366*b451 + 2552*
    b366*b452 + 352*b366*b453 + 132*b366*b455 + 924*b366*b456 + 3960*b366*b457
     + 2068*b366*b458 + 1100*b366*b459 + 1320*b366*b460 + 1892*b366*b461 + 4268
    *b366*b462 + 1452*b366*b463 + 1540*b366*b464 + 13832*b366*b465 + 13528*b366
    *b466 + 12160*b366*b467 + 6840*b366*b468 + 4864*b366*b469 + 6992*b366*b470
     + 8968*b366*b472 + 2888*b366*b473 + 8816*b366*b474 + 1216*b366*b475 + 456*
    b366*b477 + 3192*b366*b478 + 13680*b366*b479 + 7144*b366*b480 + 3800*b366*
    b481 + 4560*b366*b482 + 6536*b366*b483 + 14744*b366*b484 + 5016*b366*b485
     + 5320*b366*b486 + 10010*b366*b487 + 9790*b366*b488 + 8800*b366*b489 + 
    4950*b366*b490 + 3520*b366*b491 + 5060*b366*b492 + 6490*b366*b494 + 2090*
    b366*b495 + 6380*b366*b496 + 880*b366*b497 + 330*b366*b499 + 2310*b366*b500
     + 9900*b366*b501 + 5170*b366*b502 + 2750*b366*b503 + 3300*b366*b504 + 4730
    *b366*b505 + 10670*b366*b506 + 3630*b366*b507 + 3850*b366*b508 + 10192*b366
    *b509 + 9968*b366*b510 + 8960*b366*b511 + 5040*b366*b512 + 3584*b366*b513
     + 5152*b366*b514 + 6608*b366*b516 + 2128*b366*b517 + 6496*b366*b518 + 896*
    b366*b519 + 336*b366*b521 + 2352*b366*b522 + 10080*b366*b523 + 5264*b366*
    b524 + 2800*b366*b525 + 3360*b366*b526 + 4816*b366*b527 + 10864*b366*b528
     + 3696*b366*b529 + 3920*b366*b530 + 1848*b366*b531 + 1890*b366*b532 + 2562
    *b366*b533 + 2288*b366*b534 + 2340*b366*b535 + 3172*b366*b536 + 8096*b366*
    b537 + 8280*b366*b538 + 11224*b366*b539 + 6952*b366*b540 + 7110*b366*b541
     + 9638*b366*b542 + 8624*b366*b543 + 8820*b366*b544 + 11956*b366*b545 + 880
    *b366*b546 + 900*b366*b547 + 1220*b366*b548 + 4488*b366*b549 + 4590*b366*
    b550 + 6222*b366*b551 + 5632*b366*b552 + 5760*b366*b553 + 7808*b366*b554 + 
    2464*b366*b555 + 2520*b366*b556 + 3416*b366*b557 + 7656*b366*b558 + 7830*
    b366*b559 + 10614*b366*b560 + 4576*b366*b561 + 4680*b366*b562 + 6344*b366*
    b563 + 7920*b366*b564 + 8100*b366*b565 + 10980*b366*b566 + 5984*b366*b567
     + 6120*b366*b568 + 8296*b366*b569 + 7216*b366*b570 + 7380*b366*b571 + 
    10004*b366*b572 + 2904*b366*b573 + 2970*b366*b574 + 4026*b366*b575 + 3520*
    b366*b579 + 3600*b366*b580 + 4880*b366*b581 + 4840*b366*b582 + 4950*b366*
    b583 + 6710*b366*b584 + 2640*b366*b585 + 2700*b366*b586 + 3660*b366*b587 + 
    1936*b366*b588 + 1980*b366*b589 + 2684*b366*b590 + 6688*b366*b591 + 6840*
    b366*b592 + 9272*b366*b593 + 4840*b366*b594 + 4950*b366*b595 + 6710*b366*
    b596 + 4928*b366*b597 + 5040*b366*b598 + 6832*b366*b599 + 8900*b366*b600 + 
    8000*b366*b601 + 4500*b366*b602 + 3200*b366*b603 + 4600*b366*b604 + 5900*
    b366*b606 + 1900*b366*b607 + 5800*b366*b608 + 800*b366*b609 + 300*b366*b611
     + 2100*b366*b612 + 9000*b366*b613 + 4500*b366*b614 + 4700*b366*b615 + 2500
    *b366*b616 + 3000*b366*b617 + 4300*b366*b618 + 9700*b366*b619 + 3300*b366*
    b620 + 3500*b366*b621 + 6100*b366*b622 + 9100*b366*b623 + 4576*b366*b624 + 
    4680*b366*b625 + 6344*b366*b626 + 4720*b367*b377 + 6080*b367*b378 + 4640*
    b367*b379 + 5200*b367*b380 + 6960*b367*b381 + 1040*b367*b382 + 4960*b367*
    b383 + 3920*b367*b384 + 6800*b367*b385 + 1360*b367*b386 + 4080*b367*b387 + 
    240*b367*b388 + 3360*b367*b390 + 2880*b367*b391 + 560*b367*b392 + 6720*b367
    *b393 + 480*b367*b394 + 3840*b367*b397 + 4960*b367*b398 + 6490*b367*b399 + 
    8360*b367*b400 + 6380*b367*b401 + 7150*b367*b402 + 9570*b367*b403 + 1430*
    b367*b404 + 6820*b367*b405 + 5390*b367*b406 + 9350*b367*b407 + 1870*b367*
    b408 + 5610*b367*b409 + 330*b367*b410 + 4620*b367*b412 + 3960*b367*b413 + 
    770*b367*b414 + 9240*b367*b415 + 660*b367*b416 + 5280*b367*b419 + 6820*b367
    *b420 + 3540*b367*b421 + 4560*b367*b422 + 3480*b367*b423 + 3900*b367*b424
     + 5220*b367*b425 + 780*b367*b426 + 3720*b367*b427 + 2940*b367*b428 + 5100*
    b367*b429 + 1020*b367*b430 + 3060*b367*b431 + 180*b367*b432 + 2520*b367*
    b434 + 2160*b367*b435 + 420*b367*b436 + 5040*b367*b437 + 360*b367*b438 + 
    2880*b367*b441 + 3720*b367*b442 + 2596*b367*b443 + 3344*b367*b444 + 2552*
    b367*b445 + 2860*b367*b446 + 3828*b367*b447 + 572*b367*b448 + 2728*b367*
    b449 + 2156*b367*b450 + 3740*b367*b451 + 748*b367*b452 + 2244*b367*b453 + 
    132*b367*b454 + 1848*b367*b456 + 1584*b367*b457 + 308*b367*b458 + 3696*b367
    *b459 + 264*b367*b460 + 2112*b367*b463 + 2728*b367*b464 + 8968*b367*b465 + 
    11552*b367*b466 + 8816*b367*b467 + 9880*b367*b468 + 13224*b367*b469 + 1976*
    b367*b470 + 9424*b367*b471 + 7448*b367*b472 + 12920*b367*b473 + 2584*b367*
    b474 + 7752*b367*b475 + 456*b367*b476 + 6384*b367*b478 + 5472*b367*b479 + 
    1064*b367*b480 + 12768*b367*b481 + 912*b367*b482 + 7296*b367*b485 + 9424*
    b367*b486 + 6490*b367*b487 + 8360*b367*b488 + 6380*b367*b489 + 7150*b367*
    b490 + 9570*b367*b491 + 1430*b367*b492 + 6820*b367*b493 + 5390*b367*b494 + 
    9350*b367*b495 + 1870*b367*b496 + 5610*b367*b497 + 330*b367*b498 + 4620*
    b367*b500 + 3960*b367*b501 + 770*b367*b502 + 9240*b367*b503 + 660*b367*b504
     + 5280*b367*b507 + 6820*b367*b508 + 6608*b367*b509 + 8512*b367*b510 + 6496
    *b367*b511 + 7280*b367*b512 + 9744*b367*b513 + 1456*b367*b514 + 6944*b367*
    b515 + 5488*b367*b516 + 9520*b367*b517 + 1904*b367*b518 + 5712*b367*b519 + 
    336*b367*b520 + 4704*b367*b522 + 4032*b367*b523 + 784*b367*b524 + 9408*b367
    *b525 + 672*b367*b526 + 5376*b367*b529 + 6944*b367*b530 + 1680*b367*b531 + 
    1806*b367*b532 + 2478*b367*b533 + 2080*b367*b534 + 2236*b367*b535 + 3068*
    b367*b536 + 7360*b367*b537 + 7912*b367*b538 + 10856*b367*b539 + 6320*b367*
    b540 + 6794*b367*b541 + 9322*b367*b542 + 7840*b367*b543 + 8428*b367*b544 + 
    11564*b367*b545 + 800*b367*b546 + 860*b367*b547 + 1180*b367*b548 + 4080*
    b367*b549 + 4386*b367*b550 + 6018*b367*b551 + 5120*b367*b552 + 5504*b367*
    b553 + 7552*b367*b554 + 2240*b367*b555 + 2408*b367*b556 + 3304*b367*b557 + 
    6960*b367*b558 + 7482*b367*b559 + 10266*b367*b560 + 4160*b367*b561 + 4472*
    b367*b562 + 6136*b367*b563 + 7200*b367*b564 + 7740*b367*b565 + 10620*b367*
    b566 + 5440*b367*b567 + 5848*b367*b568 + 8024*b367*b569 + 6560*b367*b570 + 
    7052*b367*b571 + 9676*b367*b572 + 2640*b367*b573 + 2838*b367*b574 + 3894*
    b367*b575 + 3200*b367*b579 + 3440*b367*b580 + 4720*b367*b581 + 4400*b367*
    b582 + 4730*b367*b583 + 6490*b367*b584 + 2400*b367*b585 + 2580*b367*b586 + 
    3540*b367*b587 + 1760*b367*b588 + 1892*b367*b589 + 2596*b367*b590 + 6080*
    b367*b591 + 6536*b367*b592 + 8968*b367*b593 + 4400*b367*b594 + 4730*b367*
    b595 + 6490*b367*b596 + 4480*b367*b597 + 4816*b367*b598 + 6608*b367*b599 + 
    7600*b367*b600 + 5800*b367*b601 + 6500*b367*b602 + 8700*b367*b603 + 1300*
    b367*b604 + 6200*b367*b605 + 4900*b367*b606 + 8500*b367*b607 + 1700*b367*
    b608 + 5100*b367*b609 + 300*b367*b610 + 4200*b367*b612 + 3600*b367*b613 + 
    4300*b367*b614 + 700*b367*b615 + 8400*b367*b616 + 600*b367*b617 + 4800*b367
    *b620 + 6200*b367*b621 + 5900*b367*b622 + 5900*b367*b623 + 4160*b367*b624
     + 4472*b367*b625 + 6136*b367*b626 + 1440*b368*b377 + 6080*b368*b378 + 1680
    *b368*b379 + 3200*b368*b380 + 5360*b368*b381 + 1600*b368*b382 + 3280*b368*
    b383 + 6800*b368*b384 + 4160*b368*b385 + 5440*b368*b386 + 80*b368*b387 + 
    1680*b368*b388 + 3360*b368*b389 + 2320*b368*b391 + 6560*b368*b392 + 2320*
    b368*b393 + 240*b368*b394 + 240*b368*b395 + 4080*b368*b396 + 5360*b368*b397
     + 3120*b368*b398 + 1980*b368*b399 + 8360*b368*b400 + 2310*b368*b401 + 4400
    *b368*b402 + 7370*b368*b403 + 2200*b368*b404 + 4510*b368*b405 + 9350*b368*
    b406 + 5720*b368*b407 + 7480*b368*b408 + 110*b368*b409 + 2310*b368*b410 + 
    4620*b368*b411 + 3190*b368*b413 + 9020*b368*b414 + 3190*b368*b415 + 330*
    b368*b416 + 330*b368*b417 + 5610*b368*b418 + 7370*b368*b419 + 4290*b368*
    b420 + 1080*b368*b421 + 4560*b368*b422 + 1260*b368*b423 + 2400*b368*b424 + 
    4020*b368*b425 + 1200*b368*b426 + 2460*b368*b427 + 5100*b368*b428 + 3120*
    b368*b429 + 4080*b368*b430 + 60*b368*b431 + 1260*b368*b432 + 2520*b368*b433
     + 1740*b368*b435 + 4920*b368*b436 + 1740*b368*b437 + 180*b368*b438 + 180*
    b368*b439 + 3060*b368*b440 + 4020*b368*b441 + 2340*b368*b442 + 792*b368*
    b443 + 3344*b368*b444 + 924*b368*b445 + 1760*b368*b446 + 2948*b368*b447 + 
    880*b368*b448 + 1804*b368*b449 + 3740*b368*b450 + 2288*b368*b451 + 2992*
    b368*b452 + 44*b368*b453 + 924*b368*b454 + 1848*b368*b455 + 1276*b368*b457
     + 3608*b368*b458 + 1276*b368*b459 + 132*b368*b460 + 132*b368*b461 + 2244*
    b368*b462 + 2948*b368*b463 + 1716*b368*b464 + 2736*b368*b465 + 11552*b368*
    b466 + 3192*b368*b467 + 6080*b368*b468 + 10184*b368*b469 + 3040*b368*b470
     + 6232*b368*b471 + 12920*b368*b472 + 7904*b368*b473 + 10336*b368*b474 + 
    152*b368*b475 + 3192*b368*b476 + 6384*b368*b477 + 4408*b368*b479 + 12464*
    b368*b480 + 4408*b368*b481 + 456*b368*b482 + 456*b368*b483 + 7752*b368*b484
     + 10184*b368*b485 + 5928*b368*b486 + 1980*b368*b487 + 8360*b368*b488 + 
    2310*b368*b489 + 4400*b368*b490 + 7370*b368*b491 + 2200*b368*b492 + 4510*
    b368*b493 + 9350*b368*b494 + 5720*b368*b495 + 7480*b368*b496 + 110*b368*
    b497 + 2310*b368*b498 + 4620*b368*b499 + 3190*b368*b501 + 9020*b368*b502 + 
    3190*b368*b503 + 330*b368*b504 + 330*b368*b505 + 5610*b368*b506 + 7370*b368
    *b507 + 4290*b368*b508 + 2016*b368*b509 + 8512*b368*b510 + 2352*b368*b511
     + 4480*b368*b512 + 7504*b368*b513 + 2240*b368*b514 + 4592*b368*b515 + 9520
    *b368*b516 + 5824*b368*b517 + 7616*b368*b518 + 112*b368*b519 + 2352*b368*
    b520 + 4704*b368*b521 + 3248*b368*b523 + 9184*b368*b524 + 3248*b368*b525 + 
    336*b368*b526 + 336*b368*b527 + 5712*b368*b528 + 7504*b368*b529 + 4368*b368
    *b530 + 3150*b368*b531 + 3948*b368*b532 + 630*b368*b533 + 3900*b368*b534 + 
    4888*b368*b535 + 780*b368*b536 + 13800*b368*b537 + 17296*b368*b538 + 2760*
    b368*b539 + 11850*b368*b540 + 14852*b368*b541 + 2370*b368*b542 + 14700*b368
    *b543 + 18424*b368*b544 + 2940*b368*b545 + 1500*b368*b546 + 1880*b368*b547
     + 300*b368*b548 + 7650*b368*b549 + 9588*b368*b550 + 1530*b368*b551 + 9600*
    b368*b552 + 12032*b368*b553 + 1920*b368*b554 + 4200*b368*b555 + 5264*b368*
    b556 + 840*b368*b557 + 13050*b368*b558 + 16356*b368*b559 + 2610*b368*b560
     + 7800*b368*b561 + 9776*b368*b562 + 1560*b368*b563 + 13500*b368*b564 + 
    16920*b368*b565 + 2700*b368*b566 + 10200*b368*b567 + 12784*b368*b568 + 2040
    *b368*b569 + 12300*b368*b570 + 15416*b368*b571 + 2460*b368*b572 + 4950*b368
    *b573 + 6204*b368*b574 + 990*b368*b575 + 6000*b368*b579 + 7520*b368*b580 + 
    1200*b368*b581 + 8250*b368*b582 + 10340*b368*b583 + 1650*b368*b584 + 4500*
    b368*b585 + 5640*b368*b586 + 900*b368*b587 + 3300*b368*b588 + 4136*b368*
    b589 + 660*b368*b590 + 11400*b368*b591 + 14288*b368*b592 + 2280*b368*b593
     + 8250*b368*b594 + 10340*b368*b595 + 1650*b368*b596 + 8400*b368*b597 + 
    10528*b368*b598 + 1680*b368*b599 + 7600*b368*b600 + 2100*b368*b601 + 4000*
    b368*b602 + 6700*b368*b603 + 2000*b368*b604 + 4100*b368*b605 + 8500*b368*
    b606 + 5200*b368*b607 + 6800*b368*b608 + 100*b368*b609 + 2100*b368*b610 + 
    4200*b368*b611 + 2900*b368*b613 + 9400*b368*b614 + 8200*b368*b615 + 2900*
    b368*b616 + 300*b368*b617 + 300*b368*b618 + 5100*b368*b619 + 6700*b368*b620
     + 3900*b368*b621 + 1500*b368*b622 + 1800*b368*b623 + 7800*b368*b624 + 9776
    *b368*b625 + 1560*b368*b626 + 6080*b369*b377 + 3200*b369*b378 + 6080*b369*
    b379 + 4320*b369*b380 + 7520*b369*b381 + 6880*b369*b382 + 4960*b369*b383 + 
    6720*b369*b384 + 2720*b369*b385 + 2160*b369*b386 + 7280*b369*b387 + 7200*
    b369*b388 + 2880*b369*b389 + 2320*b369*b390 + 3360*b369*b392 + 1840*b369*
    b393 + 4960*b369*b394 + 4960*b369*b395 + 2240*b369*b396 + 6080*b369*b397 + 
    5280*b369*b398 + 8360*b369*b399 + 4400*b369*b400 + 8360*b369*b401 + 5940*
    b369*b402 + 10340*b369*b403 + 9460*b369*b404 + 6820*b369*b405 + 9240*b369*
    b406 + 3740*b369*b407 + 2970*b369*b408 + 10010*b369*b409 + 9900*b369*b410
     + 3960*b369*b411 + 3190*b369*b412 + 4620*b369*b414 + 2530*b369*b415 + 6820
    *b369*b416 + 6820*b369*b417 + 3080*b369*b418 + 8360*b369*b419 + 7260*b369*
    b420 + 4560*b369*b421 + 2400*b369*b422 + 4560*b369*b423 + 3240*b369*b424 + 
    5640*b369*b425 + 5160*b369*b426 + 3720*b369*b427 + 5040*b369*b428 + 2040*
    b369*b429 + 1620*b369*b430 + 5460*b369*b431 + 5400*b369*b432 + 2160*b369*
    b433 + 1740*b369*b434 + 2520*b369*b436 + 1380*b369*b437 + 3720*b369*b438 + 
    3720*b369*b439 + 1680*b369*b440 + 4560*b369*b441 + 3960*b369*b442 + 3344*
    b369*b443 + 1760*b369*b444 + 3344*b369*b445 + 2376*b369*b446 + 4136*b369*
    b447 + 3784*b369*b448 + 2728*b369*b449 + 3696*b369*b450 + 1496*b369*b451 + 
    1188*b369*b452 + 4004*b369*b453 + 3960*b369*b454 + 1584*b369*b455 + 1276*
    b369*b456 + 1848*b369*b458 + 1012*b369*b459 + 2728*b369*b460 + 2728*b369*
    b461 + 1232*b369*b462 + 3344*b369*b463 + 2904*b369*b464 + 11552*b369*b465
     + 6080*b369*b466 + 11552*b369*b467 + 8208*b369*b468 + 14288*b369*b469 + 
    13072*b369*b470 + 9424*b369*b471 + 12768*b369*b472 + 5168*b369*b473 + 4104*
    b369*b474 + 13832*b369*b475 + 13680*b369*b476 + 5472*b369*b477 + 4408*b369*
    b478 + 6384*b369*b480 + 3496*b369*b481 + 9424*b369*b482 + 9424*b369*b483 + 
    4256*b369*b484 + 11552*b369*b485 + 10032*b369*b486 + 8360*b369*b487 + 4400*
    b369*b488 + 8360*b369*b489 + 5940*b369*b490 + 10340*b369*b491 + 9460*b369*
    b492 + 6820*b369*b493 + 9240*b369*b494 + 3740*b369*b495 + 2970*b369*b496 + 
    10010*b369*b497 + 9900*b369*b498 + 3960*b369*b499 + 3190*b369*b500 + 4620*
    b369*b502 + 2530*b369*b503 + 6820*b369*b504 + 6820*b369*b505 + 3080*b369*
    b506 + 8360*b369*b507 + 7260*b369*b508 + 8512*b369*b509 + 4480*b369*b510 + 
    8512*b369*b511 + 6048*b369*b512 + 10528*b369*b513 + 9632*b369*b514 + 6944*
    b369*b515 + 9408*b369*b516 + 3808*b369*b517 + 3024*b369*b518 + 10192*b369*
    b519 + 10080*b369*b520 + 4032*b369*b521 + 3248*b369*b522 + 4704*b369*b524
     + 2576*b369*b525 + 6944*b369*b526 + 6944*b369*b527 + 3136*b369*b528 + 8512
    *b369*b529 + 7392*b369*b530 + 3318*b369*b531 + 2772*b369*b532 + 3444*b369*
    b533 + 4108*b369*b534 + 3432*b369*b535 + 4264*b369*b536 + 14536*b369*b537
     + 12144*b369*b538 + 15088*b369*b539 + 12482*b369*b540 + 10428*b369*b541 + 
    12956*b369*b542 + 15484*b369*b543 + 12936*b369*b544 + 16072*b369*b545 + 
    1580*b369*b546 + 1320*b369*b547 + 1640*b369*b548 + 8058*b369*b549 + 6732*
    b369*b550 + 8364*b369*b551 + 10112*b369*b552 + 8448*b369*b553 + 10496*b369*
    b554 + 4424*b369*b555 + 3696*b369*b556 + 4592*b369*b557 + 13746*b369*b558
     + 11484*b369*b559 + 14268*b369*b560 + 8216*b369*b561 + 6864*b369*b562 + 
    8528*b369*b563 + 14220*b369*b564 + 11880*b369*b565 + 14760*b369*b566 + 
    10744*b369*b567 + 8976*b369*b568 + 11152*b369*b569 + 12956*b369*b570 + 
    10824*b369*b571 + 13448*b369*b572 + 5214*b369*b573 + 4356*b369*b574 + 5412*
    b369*b575 + 6320*b369*b579 + 5280*b369*b580 + 6560*b369*b581 + 8690*b369*
    b582 + 7260*b369*b583 + 9020*b369*b584 + 4740*b369*b585 + 3960*b369*b586 + 
    4920*b369*b587 + 3476*b369*b588 + 2904*b369*b589 + 3608*b369*b590 + 12008*
    b369*b591 + 10032*b369*b592 + 12464*b369*b593 + 8690*b369*b594 + 7260*b369*
    b595 + 9020*b369*b596 + 8848*b369*b597 + 7392*b369*b598 + 9184*b369*b599 + 
    4000*b369*b600 + 7600*b369*b601 + 5400*b369*b602 + 9400*b369*b603 + 8600*
    b369*b604 + 6200*b369*b605 + 8400*b369*b606 + 3400*b369*b607 + 2700*b369*
    b608 + 9100*b369*b609 + 9000*b369*b610 + 3600*b369*b611 + 2900*b369*b612 + 
    6600*b369*b614 + 4200*b369*b615 + 2300*b369*b616 + 6200*b369*b617 + 6200*
    b369*b618 + 2800*b369*b619 + 7600*b369*b620 + 6600*b369*b621 + 8200*b369*
    b622 + 7600*b369*b623 + 8216*b369*b624 + 6864*b369*b625 + 8528*b369*b626 + 
    1440*b370*b377 + 4480*b370*b378 + 3520*b370*b379 + 1120*b370*b380 + 160*
    b370*b381 + 6160*b370*b382 + 2000*b370*b383 + 3040*b370*b384 + 3200*b370*
    b385 + 480*b370*b386 + 6960*b370*b387 + 3760*b370*b388 + 560*b370*b389 + 
    6560*b370*b390 + 3360*b370*b391 + 6880*b370*b393 + 4800*b370*b394 + 4960*
    b370*b395 + 4960*b370*b396 + 6640*b370*b397 + 7280*b370*b398 + 1980*b370*
    b399 + 6160*b370*b400 + 4840*b370*b401 + 1540*b370*b402 + 220*b370*b403 + 
    8470*b370*b404 + 2750*b370*b405 + 4180*b370*b406 + 4400*b370*b407 + 660*
    b370*b408 + 9570*b370*b409 + 5170*b370*b410 + 770*b370*b411 + 9020*b370*
    b412 + 4620*b370*b413 + 9460*b370*b415 + 6600*b370*b416 + 6820*b370*b417 + 
    6820*b370*b418 + 9130*b370*b419 + 10010*b370*b420 + 1080*b370*b421 + 3360*
    b370*b422 + 2640*b370*b423 + 840*b370*b424 + 120*b370*b425 + 4620*b370*b426
     + 1500*b370*b427 + 2280*b370*b428 + 2400*b370*b429 + 360*b370*b430 + 5220*
    b370*b431 + 2820*b370*b432 + 420*b370*b433 + 4920*b370*b434 + 2520*b370*
    b435 + 5160*b370*b437 + 3600*b370*b438 + 3720*b370*b439 + 3720*b370*b440 + 
    4980*b370*b441 + 5460*b370*b442 + 792*b370*b443 + 2464*b370*b444 + 1936*
    b370*b445 + 616*b370*b446 + 88*b370*b447 + 3388*b370*b448 + 1100*b370*b449
     + 1672*b370*b450 + 1760*b370*b451 + 264*b370*b452 + 3828*b370*b453 + 2068*
    b370*b454 + 308*b370*b455 + 3608*b370*b456 + 1848*b370*b457 + 3784*b370*
    b459 + 2640*b370*b460 + 2728*b370*b461 + 2728*b370*b462 + 3652*b370*b463 + 
    4004*b370*b464 + 2736*b370*b465 + 8512*b370*b466 + 6688*b370*b467 + 2128*
    b370*b468 + 304*b370*b469 + 11704*b370*b470 + 3800*b370*b471 + 5776*b370*
    b472 + 6080*b370*b473 + 912*b370*b474 + 13224*b370*b475 + 7144*b370*b476 + 
    1064*b370*b477 + 12464*b370*b478 + 6384*b370*b479 + 13072*b370*b481 + 9120*
    b370*b482 + 9424*b370*b483 + 9424*b370*b484 + 12616*b370*b485 + 13832*b370*
    b486 + 1980*b370*b487 + 6160*b370*b488 + 4840*b370*b489 + 1540*b370*b490 + 
    220*b370*b491 + 8470*b370*b492 + 2750*b370*b493 + 4180*b370*b494 + 4400*
    b370*b495 + 660*b370*b496 + 9570*b370*b497 + 5170*b370*b498 + 770*b370*b499
     + 9020*b370*b500 + 4620*b370*b501 + 9460*b370*b503 + 6600*b370*b504 + 6820
    *b370*b505 + 6820*b370*b506 + 9130*b370*b507 + 10010*b370*b508 + 2016*b370*
    b509 + 6272*b370*b510 + 4928*b370*b511 + 1568*b370*b512 + 224*b370*b513 + 
    8624*b370*b514 + 2800*b370*b515 + 4256*b370*b516 + 4480*b370*b517 + 672*
    b370*b518 + 9744*b370*b519 + 5264*b370*b520 + 784*b370*b521 + 9184*b370*
    b522 + 4704*b370*b523 + 9632*b370*b525 + 6720*b370*b526 + 6944*b370*b527 + 
    6944*b370*b528 + 9296*b370*b529 + 10192*b370*b530 + 3738*b370*b531 + 4116*
    b370*b532 + 2394*b370*b533 + 4628*b370*b534 + 5096*b370*b535 + 2964*b370*
    b536 + 16376*b370*b537 + 18032*b370*b538 + 10488*b370*b539 + 14062*b370*
    b540 + 15484*b370*b541 + 9006*b370*b542 + 17444*b370*b543 + 19208*b370*b544
     + 11172*b370*b545 + 1780*b370*b546 + 1960*b370*b547 + 1140*b370*b548 + 
    9078*b370*b549 + 9996*b370*b550 + 5814*b370*b551 + 11392*b370*b552 + 12544*
    b370*b553 + 7296*b370*b554 + 4984*b370*b555 + 5488*b370*b556 + 3192*b370*
    b557 + 15486*b370*b558 + 17052*b370*b559 + 9918*b370*b560 + 9256*b370*b561
     + 10192*b370*b562 + 5928*b370*b563 + 16020*b370*b564 + 17640*b370*b565 + 
    10260*b370*b566 + 12104*b370*b567 + 13328*b370*b568 + 7752*b370*b569 + 
    14596*b370*b570 + 16072*b370*b571 + 9348*b370*b572 + 5874*b370*b573 + 6468*
    b370*b574 + 3762*b370*b575 + 7120*b370*b579 + 7840*b370*b580 + 4560*b370*
    b581 + 9790*b370*b582 + 10780*b370*b583 + 6270*b370*b584 + 5340*b370*b585
     + 5880*b370*b586 + 3420*b370*b587 + 3916*b370*b588 + 4312*b370*b589 + 2508
    *b370*b590 + 13528*b370*b591 + 14896*b370*b592 + 8664*b370*b593 + 9790*b370
    *b594 + 10780*b370*b595 + 6270*b370*b596 + 9968*b370*b597 + 10976*b370*b598
     + 6384*b370*b599 + 5600*b370*b600 + 4400*b370*b601 + 1400*b370*b602 + 200*
    b370*b603 + 7700*b370*b604 + 2500*b370*b605 + 3800*b370*b606 + 4000*b370*
    b607 + 600*b370*b608 + 8700*b370*b609 + 4700*b370*b610 + 700*b370*b611 + 
    8200*b370*b612 + 4200*b370*b613 + 9800*b370*b614 + 8600*b370*b616 + 6000*
    b370*b617 + 6200*b370*b618 + 6200*b370*b619 + 8300*b370*b620 + 9100*b370*
    b621 + 5700*b370*b622 + 1800*b370*b623 + 9256*b370*b624 + 10192*b370*b625
     + 5928*b370*b626 + 4560*b371*b377 + 80*b371*b378 + 6800*b371*b379 + 5680*
    b371*b380 + 800*b371*b381 + 1200*b371*b382 + 6000*b371*b383 + 3280*b371*
    b384 + 5520*b371*b385 + 5360*b371*b386 + 5760*b371*b387 + 2000*b371*b388 + 
    6720*b371*b389 + 2320*b371*b390 + 1840*b371*b391 + 6880*b371*b392 + 4960*
    b371*b394 + 2880*b371*b395 + 160*b371*b396 + 160*b371*b397 + 3440*b371*b398
     + 6270*b371*b399 + 110*b371*b400 + 9350*b371*b401 + 7810*b371*b402 + 1100*
    b371*b403 + 1650*b371*b404 + 8250*b371*b405 + 4510*b371*b406 + 7590*b371*
    b407 + 7370*b371*b408 + 7920*b371*b409 + 2750*b371*b410 + 9240*b371*b411 + 
    3190*b371*b412 + 2530*b371*b413 + 9460*b371*b414 + 6820*b371*b416 + 3960*
    b371*b417 + 220*b371*b418 + 220*b371*b419 + 4730*b371*b420 + 3420*b371*b421
     + 60*b371*b422 + 5100*b371*b423 + 4260*b371*b424 + 600*b371*b425 + 900*
    b371*b426 + 4500*b371*b427 + 2460*b371*b428 + 4140*b371*b429 + 4020*b371*
    b430 + 4320*b371*b431 + 1500*b371*b432 + 5040*b371*b433 + 1740*b371*b434 + 
    1380*b371*b435 + 5160*b371*b436 + 3720*b371*b438 + 2160*b371*b439 + 120*
    b371*b440 + 120*b371*b441 + 2580*b371*b442 + 2508*b371*b443 + 44*b371*b444
     + 3740*b371*b445 + 3124*b371*b446 + 440*b371*b447 + 660*b371*b448 + 3300*
    b371*b449 + 1804*b371*b450 + 3036*b371*b451 + 2948*b371*b452 + 3168*b371*
    b453 + 1100*b371*b454 + 3696*b371*b455 + 1276*b371*b456 + 1012*b371*b457 + 
    3784*b371*b458 + 2728*b371*b460 + 1584*b371*b461 + 88*b371*b462 + 88*b371*
    b463 + 1892*b371*b464 + 8664*b371*b465 + 152*b371*b466 + 12920*b371*b467 + 
    10792*b371*b468 + 1520*b371*b469 + 2280*b371*b470 + 11400*b371*b471 + 6232*
    b371*b472 + 10488*b371*b473 + 10184*b371*b474 + 10944*b371*b475 + 3800*b371
    *b476 + 12768*b371*b477 + 4408*b371*b478 + 3496*b371*b479 + 13072*b371*b480
     + 9424*b371*b482 + 5472*b371*b483 + 304*b371*b484 + 304*b371*b485 + 6536*
    b371*b486 + 6270*b371*b487 + 110*b371*b488 + 9350*b371*b489 + 7810*b371*
    b490 + 1100*b371*b491 + 1650*b371*b492 + 8250*b371*b493 + 4510*b371*b494 + 
    7590*b371*b495 + 7370*b371*b496 + 7920*b371*b497 + 2750*b371*b498 + 9240*
    b371*b499 + 3190*b371*b500 + 2530*b371*b501 + 9460*b371*b502 + 6820*b371*
    b504 + 3960*b371*b505 + 220*b371*b506 + 220*b371*b507 + 4730*b371*b508 + 
    6384*b371*b509 + 112*b371*b510 + 9520*b371*b511 + 7952*b371*b512 + 1120*
    b371*b513 + 1680*b371*b514 + 8400*b371*b515 + 4592*b371*b516 + 7728*b371*
    b517 + 7504*b371*b518 + 8064*b371*b519 + 2800*b371*b520 + 9408*b371*b521 + 
    3248*b371*b522 + 2576*b371*b523 + 9632*b371*b524 + 6944*b371*b526 + 4032*
    b371*b527 + 224*b371*b528 + 224*b371*b529 + 4816*b371*b530 + 1470*b371*b531
     + 1470*b371*b532 + 2730*b371*b533 + 1820*b371*b534 + 1820*b371*b535 + 3380
    *b371*b536 + 6440*b371*b537 + 6440*b371*b538 + 11960*b371*b539 + 5530*b371*
    b540 + 5530*b371*b541 + 10270*b371*b542 + 6860*b371*b543 + 6860*b371*b544
     + 12740*b371*b545 + 700*b371*b546 + 700*b371*b547 + 1300*b371*b548 + 3570*
    b371*b549 + 3570*b371*b550 + 6630*b371*b551 + 4480*b371*b552 + 4480*b371*
    b553 + 8320*b371*b554 + 1960*b371*b555 + 1960*b371*b556 + 3640*b371*b557 + 
    6090*b371*b558 + 6090*b371*b559 + 11310*b371*b560 + 3640*b371*b561 + 3640*
    b371*b562 + 6760*b371*b563 + 6300*b371*b564 + 6300*b371*b565 + 11700*b371*
    b566 + 4760*b371*b567 + 4760*b371*b568 + 8840*b371*b569 + 5740*b371*b570 + 
    5740*b371*b571 + 10660*b371*b572 + 2310*b371*b573 + 2310*b371*b574 + 4290*
    b371*b575 + 2800*b371*b579 + 2800*b371*b580 + 5200*b371*b581 + 3850*b371*
    b582 + 3850*b371*b583 + 7150*b371*b584 + 2100*b371*b585 + 2100*b371*b586 + 
    3900*b371*b587 + 1540*b371*b588 + 1540*b371*b589 + 2860*b371*b590 + 5320*
    b371*b591 + 5320*b371*b592 + 9880*b371*b593 + 3850*b371*b594 + 3850*b371*
    b595 + 7150*b371*b596 + 3920*b371*b597 + 3920*b371*b598 + 7280*b371*b599 + 
    100*b371*b600 + 8500*b371*b601 + 7100*b371*b602 + 1000*b371*b603 + 1500*
    b371*b604 + 7500*b371*b605 + 4100*b371*b606 + 6900*b371*b607 + 6700*b371*
    b608 + 7200*b371*b609 + 2500*b371*b610 + 8400*b371*b611 + 2900*b371*b612 + 
    2300*b371*b613 + 3500*b371*b614 + 8600*b371*b615 + 6200*b371*b617 + 3600*
    b371*b618 + 200*b371*b619 + 200*b371*b620 + 4300*b371*b621 + 6500*b371*b622
     + 5700*b371*b623 + 3640*b371*b624 + 3640*b371*b625 + 6760*b371*b626 + 2880
    *b372*b377 + 4000*b372*b378 + 7520*b372*b379 + 6160*b372*b380 + 7920*b372*
    b381 + 7120*b372*b382 + 6080*b372*b383 + 4480*b372*b384 + 960*b372*b385 + 
    2080*b372*b386 + 3600*b372*b387 + 2400*b372*b388 + 480*b372*b389 + 240*b372
    *b390 + 4960*b372*b391 + 4800*b372*b392 + 4960*b372*b393 + 2960*b372*b395
     + 3920*b372*b396 + 4880*b372*b397 + 400*b372*b398 + 3960*b372*b399 + 5500*
    b372*b400 + 10340*b372*b401 + 8470*b372*b402 + 10890*b372*b403 + 9790*b372*
    b404 + 8360*b372*b405 + 6160*b372*b406 + 1320*b372*b407 + 2860*b372*b408 + 
    4950*b372*b409 + 3300*b372*b410 + 660*b372*b411 + 330*b372*b412 + 6820*b372
    *b413 + 6600*b372*b414 + 6820*b372*b415 + 4070*b372*b417 + 5390*b372*b418
     + 6710*b372*b419 + 550*b372*b420 + 2160*b372*b421 + 3000*b372*b422 + 5640*
    b372*b423 + 4620*b372*b424 + 5940*b372*b425 + 5340*b372*b426 + 4560*b372*
    b427 + 3360*b372*b428 + 720*b372*b429 + 1560*b372*b430 + 2700*b372*b431 + 
    1800*b372*b432 + 360*b372*b433 + 180*b372*b434 + 3720*b372*b435 + 3600*b372
    *b436 + 3720*b372*b437 + 2220*b372*b439 + 2940*b372*b440 + 3660*b372*b441
     + 300*b372*b442 + 1584*b372*b443 + 2200*b372*b444 + 4136*b372*b445 + 3388*
    b372*b446 + 4356*b372*b447 + 3916*b372*b448 + 3344*b372*b449 + 2464*b372*
    b450 + 528*b372*b451 + 1144*b372*b452 + 1980*b372*b453 + 1320*b372*b454 + 
    264*b372*b455 + 132*b372*b456 + 2728*b372*b457 + 2640*b372*b458 + 2728*b372
    *b459 + 1628*b372*b461 + 2156*b372*b462 + 2684*b372*b463 + 220*b372*b464 + 
    5472*b372*b465 + 7600*b372*b466 + 14288*b372*b467 + 11704*b372*b468 + 15048
    *b372*b469 + 13528*b372*b470 + 11552*b372*b471 + 8512*b372*b472 + 1824*b372
    *b473 + 3952*b372*b474 + 6840*b372*b475 + 4560*b372*b476 + 912*b372*b477 + 
    456*b372*b478 + 9424*b372*b479 + 9120*b372*b480 + 9424*b372*b481 + 5624*
    b372*b483 + 7448*b372*b484 + 9272*b372*b485 + 760*b372*b486 + 3960*b372*
    b487 + 5500*b372*b488 + 10340*b372*b489 + 8470*b372*b490 + 10890*b372*b491
     + 9790*b372*b492 + 8360*b372*b493 + 6160*b372*b494 + 1320*b372*b495 + 2860
    *b372*b496 + 4950*b372*b497 + 3300*b372*b498 + 660*b372*b499 + 330*b372*
    b500 + 6820*b372*b501 + 6600*b372*b502 + 6820*b372*b503 + 4070*b372*b505 + 
    5390*b372*b506 + 6710*b372*b507 + 550*b372*b508 + 4032*b372*b509 + 5600*
    b372*b510 + 10528*b372*b511 + 8624*b372*b512 + 11088*b372*b513 + 9968*b372*
    b514 + 8512*b372*b515 + 6272*b372*b516 + 1344*b372*b517 + 2912*b372*b518 + 
    5040*b372*b519 + 3360*b372*b520 + 672*b372*b521 + 336*b372*b522 + 6944*b372
    *b523 + 6720*b372*b524 + 6944*b372*b525 + 4144*b372*b527 + 5488*b372*b528
     + 6832*b372*b529 + 560*b372*b530 + 378*b372*b531 + 630*b372*b532 + 1428*
    b372*b533 + 468*b372*b534 + 780*b372*b535 + 1768*b372*b536 + 1656*b372*b537
     + 2760*b372*b538 + 6256*b372*b539 + 1422*b372*b540 + 2370*b372*b541 + 5372
    *b372*b542 + 1764*b372*b543 + 2940*b372*b544 + 6664*b372*b545 + 180*b372*
    b546 + 300*b372*b547 + 680*b372*b548 + 918*b372*b549 + 1530*b372*b550 + 
    3468*b372*b551 + 1152*b372*b552 + 1920*b372*b553 + 4352*b372*b554 + 504*
    b372*b555 + 840*b372*b556 + 1904*b372*b557 + 1566*b372*b558 + 2610*b372*
    b559 + 5916*b372*b560 + 936*b372*b561 + 1560*b372*b562 + 3536*b372*b563 + 
    1620*b372*b564 + 2700*b372*b565 + 6120*b372*b566 + 1224*b372*b567 + 2040*
    b372*b568 + 4624*b372*b569 + 1476*b372*b570 + 2460*b372*b571 + 5576*b372*
    b572 + 594*b372*b573 + 990*b372*b574 + 2244*b372*b575 + 720*b372*b579 + 
    1200*b372*b580 + 2720*b372*b581 + 990*b372*b582 + 1650*b372*b583 + 3740*
    b372*b584 + 540*b372*b585 + 900*b372*b586 + 2040*b372*b587 + 396*b372*b588
     + 660*b372*b589 + 1496*b372*b590 + 1368*b372*b591 + 2280*b372*b592 + 5168*
    b372*b593 + 990*b372*b594 + 1650*b372*b595 + 3740*b372*b596 + 1008*b372*
    b597 + 1680*b372*b598 + 3808*b372*b599 + 5000*b372*b600 + 9400*b372*b601 + 
    7700*b372*b602 + 9900*b372*b603 + 8900*b372*b604 + 7600*b372*b605 + 5600*
    b372*b606 + 1200*b372*b607 + 2600*b372*b608 + 4500*b372*b609 + 3000*b372*
    b610 + 600*b372*b611 + 300*b372*b612 + 6200*b372*b613 + 1500*b372*b614 + 
    6000*b372*b615 + 6200*b372*b616 + 3700*b372*b618 + 4900*b372*b619 + 6100*
    b372*b620 + 500*b372*b621 + 3400*b372*b622 + 3600*b372*b623 + 936*b372*b624
     + 1560*b372*b625 + 3536*b372*b626 + 4880*b373*b377 + 320*b373*b378 + 7200*
    b373*b379 + 2880*b373*b380 + 4480*b373*b381 + 3840*b373*b382 + 3200*b373*
    b383 + 3120*b373*b384 + 6800*b373*b385 + 6560*b373*b386 + 7680*b373*b387 + 
    3440*b373*b388 + 240*b373*b390 + 4960*b373*b391 + 4960*b373*b392 + 2880*
    b373*b393 + 2960*b373*b394 + 4240*b373*b396 + 7680*b373*b397 + 6560*b373*
    b398 + 6710*b373*b399 + 440*b373*b400 + 9900*b373*b401 + 3960*b373*b402 + 
    6160*b373*b403 + 5280*b373*b404 + 4400*b373*b405 + 4290*b373*b406 + 9350*
    b373*b407 + 9020*b373*b408 + 10560*b373*b409 + 4730*b373*b410 + 330*b373*
    b412 + 6820*b373*b413 + 6820*b373*b414 + 3960*b373*b415 + 4070*b373*b416 + 
    5830*b373*b418 + 10560*b373*b419 + 9020*b373*b420 + 3660*b373*b421 + 240*
    b373*b422 + 5400*b373*b423 + 2160*b373*b424 + 3360*b373*b425 + 2880*b373*
    b426 + 2400*b373*b427 + 2340*b373*b428 + 5100*b373*b429 + 4920*b373*b430 + 
    5760*b373*b431 + 2580*b373*b432 + 180*b373*b434 + 3720*b373*b435 + 3720*
    b373*b436 + 2160*b373*b437 + 2220*b373*b438 + 3180*b373*b440 + 5760*b373*
    b441 + 4920*b373*b442 + 2684*b373*b443 + 176*b373*b444 + 3960*b373*b445 + 
    1584*b373*b446 + 2464*b373*b447 + 2112*b373*b448 + 1760*b373*b449 + 1716*
    b373*b450 + 3740*b373*b451 + 3608*b373*b452 + 4224*b373*b453 + 1892*b373*
    b454 + 132*b373*b456 + 2728*b373*b457 + 2728*b373*b458 + 1584*b373*b459 + 
    1628*b373*b460 + 2332*b373*b462 + 4224*b373*b463 + 3608*b373*b464 + 9272*
    b373*b465 + 608*b373*b466 + 13680*b373*b467 + 5472*b373*b468 + 8512*b373*
    b469 + 7296*b373*b470 + 6080*b373*b471 + 5928*b373*b472 + 12920*b373*b473
     + 12464*b373*b474 + 14592*b373*b475 + 6536*b373*b476 + 456*b373*b478 + 
    9424*b373*b479 + 9424*b373*b480 + 5472*b373*b481 + 5624*b373*b482 + 8056*
    b373*b484 + 14592*b373*b485 + 12464*b373*b486 + 6710*b373*b487 + 440*b373*
    b488 + 9900*b373*b489 + 3960*b373*b490 + 6160*b373*b491 + 5280*b373*b492 + 
    4400*b373*b493 + 4290*b373*b494 + 9350*b373*b495 + 9020*b373*b496 + 10560*
    b373*b497 + 4730*b373*b498 + 330*b373*b500 + 6820*b373*b501 + 6820*b373*
    b502 + 3960*b373*b503 + 4070*b373*b504 + 5830*b373*b506 + 10560*b373*b507
     + 9020*b373*b508 + 6832*b373*b509 + 448*b373*b510 + 10080*b373*b511 + 4032
    *b373*b512 + 6272*b373*b513 + 5376*b373*b514 + 4480*b373*b515 + 4368*b373*
    b516 + 9520*b373*b517 + 9184*b373*b518 + 10752*b373*b519 + 4816*b373*b520
     + 336*b373*b522 + 6944*b373*b523 + 6944*b373*b524 + 4032*b373*b525 + 4144*
    b373*b526 + 5936*b373*b528 + 10752*b373*b529 + 9184*b373*b530 + 42*b373*
    b531 + 714*b373*b532 + 2016*b373*b533 + 52*b373*b534 + 884*b373*b535 + 2496
    *b373*b536 + 184*b373*b537 + 3128*b373*b538 + 8832*b373*b539 + 158*b373*
    b540 + 2686*b373*b541 + 7584*b373*b542 + 196*b373*b543 + 3332*b373*b544 + 
    9408*b373*b545 + 20*b373*b546 + 340*b373*b547 + 960*b373*b548 + 102*b373*
    b549 + 1734*b373*b550 + 4896*b373*b551 + 128*b373*b552 + 2176*b373*b553 + 
    6144*b373*b554 + 56*b373*b555 + 952*b373*b556 + 2688*b373*b557 + 174*b373*
    b558 + 2958*b373*b559 + 8352*b373*b560 + 104*b373*b561 + 1768*b373*b562 + 
    4992*b373*b563 + 180*b373*b564 + 3060*b373*b565 + 8640*b373*b566 + 136*b373
    *b567 + 2312*b373*b568 + 6528*b373*b569 + 164*b373*b570 + 2788*b373*b571 + 
    7872*b373*b572 + 66*b373*b573 + 1122*b373*b574 + 3168*b373*b575 + 80*b373*
    b579 + 1360*b373*b580 + 3840*b373*b581 + 110*b373*b582 + 1870*b373*b583 + 
    5280*b373*b584 + 60*b373*b585 + 1020*b373*b586 + 2880*b373*b587 + 44*b373*
    b588 + 748*b373*b589 + 2112*b373*b590 + 152*b373*b591 + 2584*b373*b592 + 
    7296*b373*b593 + 110*b373*b594 + 1870*b373*b595 + 5280*b373*b596 + 112*b373
    *b597 + 1904*b373*b598 + 5376*b373*b599 + 400*b373*b600 + 9000*b373*b601 + 
    3600*b373*b602 + 5600*b373*b603 + 4800*b373*b604 + 4000*b373*b605 + 3900*
    b373*b606 + 8500*b373*b607 + 8200*b373*b608 + 9600*b373*b609 + 4300*b373*
    b610 + 300*b373*b612 + 6200*b373*b613 + 1700*b373*b614 + 6200*b373*b615 + 
    3600*b373*b616 + 3700*b373*b617 + 5300*b373*b619 + 9600*b373*b620 + 8200*
    b373*b621 + 4800*b373*b622 + 6100*b373*b623 + 104*b373*b624 + 1768*b373*
    b625 + 4992*b373*b626 + 2880*b374*b377 + 2880*b374*b378 + 4080*b374*b379 + 
    4240*b374*b380 + 5600*b374*b381 + 1120*b374*b382 + 5280*b374*b383 + 4240*
    b374*b384 + 5760*b374*b385 + 3520*b374*b386 + 560*b374*b387 + 7760*b374*
    b388 + 4080*b374*b390 + 2240*b374*b391 + 4960*b374*b392 + 160*b374*b393 + 
    3920*b374*b394 + 4240*b374*b395 + 2240*b374*b397 + 2480*b374*b398 + 3960*
    b374*b399 + 3960*b374*b400 + 5610*b374*b401 + 5830*b374*b402 + 7700*b374*
    b403 + 1540*b374*b404 + 7260*b374*b405 + 5830*b374*b406 + 7920*b374*b407 + 
    4840*b374*b408 + 770*b374*b409 + 10670*b374*b410 + 5610*b374*b412 + 3080*
    b374*b413 + 6820*b374*b414 + 220*b374*b415 + 5390*b374*b416 + 5830*b374*
    b417 + 3080*b374*b419 + 3410*b374*b420 + 2160*b374*b421 + 2160*b374*b422 + 
    3060*b374*b423 + 3180*b374*b424 + 4200*b374*b425 + 840*b374*b426 + 3960*
    b374*b427 + 3180*b374*b428 + 4320*b374*b429 + 2640*b374*b430 + 420*b374*
    b431 + 5820*b374*b432 + 3060*b374*b434 + 1680*b374*b435 + 3720*b374*b436 + 
    120*b374*b437 + 2940*b374*b438 + 3180*b374*b439 + 1680*b374*b441 + 1860*
    b374*b442 + 1584*b374*b443 + 1584*b374*b444 + 2244*b374*b445 + 2332*b374*
    b446 + 3080*b374*b447 + 616*b374*b448 + 2904*b374*b449 + 2332*b374*b450 + 
    3168*b374*b451 + 1936*b374*b452 + 308*b374*b453 + 4268*b374*b454 + 2244*
    b374*b456 + 1232*b374*b457 + 2728*b374*b458 + 88*b374*b459 + 2156*b374*b460
     + 2332*b374*b461 + 1232*b374*b463 + 1364*b374*b464 + 5472*b374*b465 + 5472
    *b374*b466 + 7752*b374*b467 + 8056*b374*b468 + 10640*b374*b469 + 2128*b374*
    b470 + 10032*b374*b471 + 8056*b374*b472 + 10944*b374*b473 + 6688*b374*b474
     + 1064*b374*b475 + 14744*b374*b476 + 7752*b374*b478 + 4256*b374*b479 + 
    9424*b374*b480 + 304*b374*b481 + 7448*b374*b482 + 8056*b374*b483 + 4256*
    b374*b485 + 4712*b374*b486 + 3960*b374*b487 + 3960*b374*b488 + 5610*b374*
    b489 + 5830*b374*b490 + 7700*b374*b491 + 1540*b374*b492 + 7260*b374*b493 + 
    5830*b374*b494 + 7920*b374*b495 + 4840*b374*b496 + 770*b374*b497 + 10670*
    b374*b498 + 5610*b374*b500 + 3080*b374*b501 + 6820*b374*b502 + 220*b374*
    b503 + 5390*b374*b504 + 5830*b374*b505 + 3080*b374*b507 + 3410*b374*b508 + 
    4032*b374*b509 + 4032*b374*b510 + 5712*b374*b511 + 5936*b374*b512 + 7840*
    b374*b513 + 1568*b374*b514 + 7392*b374*b515 + 5936*b374*b516 + 8064*b374*
    b517 + 4928*b374*b518 + 784*b374*b519 + 10864*b374*b520 + 5712*b374*b522 + 
    3136*b374*b523 + 6944*b374*b524 + 224*b374*b525 + 5488*b374*b526 + 5936*
    b374*b527 + 3136*b374*b529 + 3472*b374*b530 + 3570*b374*b531 + 3234*b374*
    b532 + 3150*b374*b533 + 4420*b374*b534 + 4004*b374*b535 + 3900*b374*b536 + 
    15640*b374*b537 + 14168*b374*b538 + 13800*b374*b539 + 13430*b374*b540 + 
    12166*b374*b541 + 11850*b374*b542 + 16660*b374*b543 + 15092*b374*b544 + 
    14700*b374*b545 + 1700*b374*b546 + 1540*b374*b547 + 1500*b374*b548 + 8670*
    b374*b549 + 7854*b374*b550 + 7650*b374*b551 + 10880*b374*b552 + 9856*b374*
    b553 + 9600*b374*b554 + 4760*b374*b555 + 4312*b374*b556 + 4200*b374*b557 + 
    14790*b374*b558 + 13398*b374*b559 + 13050*b374*b560 + 8840*b374*b561 + 8008
    *b374*b562 + 7800*b374*b563 + 15300*b374*b564 + 13860*b374*b565 + 13500*
    b374*b566 + 11560*b374*b567 + 10472*b374*b568 + 10200*b374*b569 + 13940*
    b374*b570 + 12628*b374*b571 + 12300*b374*b572 + 5610*b374*b573 + 5082*b374*
    b574 + 4950*b374*b575 + 6800*b374*b579 + 6160*b374*b580 + 6000*b374*b581 + 
    9350*b374*b582 + 8470*b374*b583 + 8250*b374*b584 + 5100*b374*b585 + 4620*
    b374*b586 + 4500*b374*b587 + 3740*b374*b588 + 3388*b374*b589 + 3300*b374*
    b590 + 12920*b374*b591 + 11704*b374*b592 + 11400*b374*b593 + 9350*b374*b594
     + 8470*b374*b595 + 8250*b374*b596 + 9520*b374*b597 + 8624*b374*b598 + 8400
    *b374*b599 + 3600*b374*b600 + 5100*b374*b601 + 5300*b374*b602 + 7000*b374*
    b603 + 1400*b374*b604 + 6600*b374*b605 + 5300*b374*b606 + 7200*b374*b607 + 
    4400*b374*b608 + 700*b374*b609 + 9700*b374*b610 + 5100*b374*b612 + 2800*
    b374*b613 + 7700*b374*b614 + 6200*b374*b615 + 200*b374*b616 + 4900*b374*
    b617 + 5300*b374*b618 + 2800*b374*b620 + 3100*b374*b621 + 7500*b374*b622 + 
    3600*b374*b623 + 8840*b374*b624 + 8008*b374*b625 + 7800*b374*b626 + 1680*
    b375*b377 + 2160*b375*b378 + 240*b375*b379 + 2960*b375*b380 + 7920*b375*
    b381 + 7120*b375*b382 + 4640*b375*b383 + 6160*b375*b384 + 560*b375*b385 + 
    2800*b375*b386 + 6960*b375*b387 + 2640*b375*b388 + 3840*b375*b389 + 5360*
    b375*b390 + 6080*b375*b391 + 6640*b375*b392 + 160*b375*b393 + 4880*b375*
    b394 + 7680*b375*b395 + 2240*b375*b396 + 80*b375*b398 + 2310*b375*b399 + 
    2970*b375*b400 + 330*b375*b401 + 4070*b375*b402 + 10890*b375*b403 + 9790*
    b375*b404 + 6380*b375*b405 + 8470*b375*b406 + 770*b375*b407 + 3850*b375*
    b408 + 9570*b375*b409 + 3630*b375*b410 + 5280*b375*b411 + 7370*b375*b412 + 
    8360*b375*b413 + 9130*b375*b414 + 220*b375*b415 + 6710*b375*b416 + 10560*
    b375*b417 + 3080*b375*b418 + 110*b375*b420 + 1260*b375*b421 + 1620*b375*
    b422 + 180*b375*b423 + 2220*b375*b424 + 5940*b375*b425 + 5340*b375*b426 + 
    3480*b375*b427 + 4620*b375*b428 + 420*b375*b429 + 2100*b375*b430 + 5220*
    b375*b431 + 1980*b375*b432 + 2880*b375*b433 + 4020*b375*b434 + 4560*b375*
    b435 + 4980*b375*b436 + 120*b375*b437 + 3660*b375*b438 + 5760*b375*b439 + 
    1680*b375*b440 + 60*b375*b442 + 924*b375*b443 + 1188*b375*b444 + 132*b375*
    b445 + 1628*b375*b446 + 4356*b375*b447 + 3916*b375*b448 + 2552*b375*b449 + 
    3388*b375*b450 + 308*b375*b451 + 1540*b375*b452 + 3828*b375*b453 + 1452*
    b375*b454 + 2112*b375*b455 + 2948*b375*b456 + 3344*b375*b457 + 3652*b375*
    b458 + 88*b375*b459 + 2684*b375*b460 + 4224*b375*b461 + 1232*b375*b462 + 44
    *b375*b464 + 3192*b375*b465 + 4104*b375*b466 + 456*b375*b467 + 5624*b375*
    b468 + 15048*b375*b469 + 13528*b375*b470 + 8816*b375*b471 + 11704*b375*b472
     + 1064*b375*b473 + 5320*b375*b474 + 13224*b375*b475 + 5016*b375*b476 + 
    7296*b375*b477 + 10184*b375*b478 + 11552*b375*b479 + 12616*b375*b480 + 304*
    b375*b481 + 9272*b375*b482 + 14592*b375*b483 + 4256*b375*b484 + 152*b375*
    b486 + 2310*b375*b487 + 2970*b375*b488 + 330*b375*b489 + 4070*b375*b490 + 
    10890*b375*b491 + 9790*b375*b492 + 6380*b375*b493 + 8470*b375*b494 + 770*
    b375*b495 + 3850*b375*b496 + 9570*b375*b497 + 3630*b375*b498 + 5280*b375*
    b499 + 7370*b375*b500 + 8360*b375*b501 + 9130*b375*b502 + 220*b375*b503 + 
    6710*b375*b504 + 10560*b375*b505 + 3080*b375*b506 + 110*b375*b508 + 2352*
    b375*b509 + 3024*b375*b510 + 336*b375*b511 + 4144*b375*b512 + 11088*b375*
    b513 + 9968*b375*b514 + 6496*b375*b515 + 8624*b375*b516 + 784*b375*b517 + 
    3920*b375*b518 + 9744*b375*b519 + 3696*b375*b520 + 5376*b375*b521 + 7504*
    b375*b522 + 8512*b375*b523 + 9296*b375*b524 + 224*b375*b525 + 6832*b375*
    b526 + 10752*b375*b527 + 3136*b375*b528 + 112*b375*b530 + 3528*b375*b531 + 
    1848*b375*b532 + 3990*b375*b533 + 4368*b375*b534 + 2288*b375*b535 + 4940*
    b375*b536 + 15456*b375*b537 + 8096*b375*b538 + 17480*b375*b539 + 13272*b375
    *b540 + 6952*b375*b541 + 15010*b375*b542 + 16464*b375*b543 + 8624*b375*b544
     + 18620*b375*b545 + 1680*b375*b546 + 880*b375*b547 + 1900*b375*b548 + 8568
    *b375*b549 + 4488*b375*b550 + 9690*b375*b551 + 10752*b375*b552 + 5632*b375*
    b553 + 12160*b375*b554 + 4704*b375*b555 + 2464*b375*b556 + 5320*b375*b557
     + 14616*b375*b558 + 7656*b375*b559 + 16530*b375*b560 + 8736*b375*b561 + 
    4576*b375*b562 + 9880*b375*b563 + 15120*b375*b564 + 7920*b375*b565 + 17100*
    b375*b566 + 11424*b375*b567 + 5984*b375*b568 + 12920*b375*b569 + 13776*b375
    *b570 + 7216*b375*b571 + 15580*b375*b572 + 5544*b375*b573 + 2904*b375*b574
     + 6270*b375*b575 + 6720*b375*b579 + 3520*b375*b580 + 7600*b375*b581 + 9240
    *b375*b582 + 4840*b375*b583 + 10450*b375*b584 + 5040*b375*b585 + 2640*b375*
    b586 + 5700*b375*b587 + 3696*b375*b588 + 1936*b375*b589 + 4180*b375*b590 + 
    12768*b375*b591 + 6688*b375*b592 + 14440*b375*b593 + 9240*b375*b594 + 4840*
    b375*b595 + 10450*b375*b596 + 9408*b375*b597 + 4928*b375*b598 + 10640*b375*
    b599 + 2700*b375*b600 + 300*b375*b601 + 3700*b375*b602 + 9900*b375*b603 + 
    8900*b375*b604 + 5800*b375*b605 + 7700*b375*b606 + 700*b375*b607 + 3500*
    b375*b608 + 8700*b375*b609 + 3300*b375*b610 + 4800*b375*b611 + 6700*b375*
    b612 + 7600*b375*b613 + 4400*b375*b614 + 8300*b375*b615 + 200*b375*b616 + 
    6100*b375*b617 + 9600*b375*b618 + 2800*b375*b619 + 100*b375*b621 + 9500*
    b375*b622 + 2100*b375*b623 + 8736*b375*b624 + 4576*b375*b625 + 9880*b375*
    b626 + 5680*b376*b377 + 6800*b376*b378 + 3840*b376*b379 + 2080*b376*b380 + 
    4800*b376*b381 + 3520*b376*b382 + 2400*b376*b383 + 4000*b376*b384 + 3920*
    b376*b385 + 240*b376*b386 + 5440*b376*b387 + 2800*b376*b388 + 4960*b376*
    b389 + 3120*b376*b390 + 5280*b376*b391 + 7280*b376*b392 + 3440*b376*b393 + 
    400*b376*b394 + 6560*b376*b395 + 2480*b376*b396 + 80*b376*b397 + 7810*b376*
    b399 + 9350*b376*b400 + 5280*b376*b401 + 2860*b376*b402 + 6600*b376*b403 + 
    4840*b376*b404 + 3300*b376*b405 + 5500*b376*b406 + 5390*b376*b407 + 330*
    b376*b408 + 7480*b376*b409 + 3850*b376*b410 + 6820*b376*b411 + 4290*b376*
    b412 + 7260*b376*b413 + 10010*b376*b414 + 4730*b376*b415 + 550*b376*b416 + 
    9020*b376*b417 + 3410*b376*b418 + 110*b376*b419 + 4260*b376*b421 + 5100*
    b376*b422 + 2880*b376*b423 + 1560*b376*b424 + 3600*b376*b425 + 2640*b376*
    b426 + 1800*b376*b427 + 3000*b376*b428 + 2940*b376*b429 + 180*b376*b430 + 
    4080*b376*b431 + 2100*b376*b432 + 3720*b376*b433 + 2340*b376*b434 + 3960*
    b376*b435 + 5460*b376*b436 + 2580*b376*b437 + 300*b376*b438 + 4920*b376*
    b439 + 1860*b376*b440 + 60*b376*b441 + 3124*b376*b443 + 3740*b376*b444 + 
    2112*b376*b445 + 1144*b376*b446 + 2640*b376*b447 + 1936*b376*b448 + 1320*
    b376*b449 + 2200*b376*b450 + 2156*b376*b451 + 132*b376*b452 + 2992*b376*
    b453 + 1540*b376*b454 + 2728*b376*b455 + 1716*b376*b456 + 2904*b376*b457 + 
    4004*b376*b458 + 1892*b376*b459 + 220*b376*b460 + 3608*b376*b461 + 1364*
    b376*b462 + 44*b376*b463 + 10792*b376*b465 + 12920*b376*b466 + 7296*b376*
    b467 + 3952*b376*b468 + 9120*b376*b469 + 6688*b376*b470 + 4560*b376*b471 + 
    7600*b376*b472 + 7448*b376*b473 + 456*b376*b474 + 10336*b376*b475 + 5320*
    b376*b476 + 9424*b376*b477 + 5928*b376*b478 + 10032*b376*b479 + 13832*b376*
    b480 + 6536*b376*b481 + 760*b376*b482 + 12464*b376*b483 + 4712*b376*b484 + 
    152*b376*b485 + 7810*b376*b487 + 9350*b376*b488 + 5280*b376*b489 + 2860*
    b376*b490 + 6600*b376*b491 + 4840*b376*b492 + 3300*b376*b493 + 5500*b376*
    b494 + 5390*b376*b495 + 330*b376*b496 + 7480*b376*b497 + 3850*b376*b498 + 
    6820*b376*b499 + 4290*b376*b500 + 7260*b376*b501 + 10010*b376*b502 + 4730*
    b376*b503 + 550*b376*b504 + 9020*b376*b505 + 3410*b376*b506 + 110*b376*b507
     + 7952*b376*b509 + 9520*b376*b510 + 5376*b376*b511 + 2912*b376*b512 + 6720
    *b376*b513 + 4928*b376*b514 + 3360*b376*b515 + 5600*b376*b516 + 5488*b376*
    b517 + 336*b376*b518 + 7616*b376*b519 + 3920*b376*b520 + 6944*b376*b521 + 
    4368*b376*b522 + 7392*b376*b523 + 10192*b376*b524 + 4816*b376*b525 + 560*
    b376*b526 + 9184*b376*b527 + 3472*b376*b528 + 112*b376*b529 + 504*b376*b531
     + 1092*b376*b532 + 294*b376*b533 + 624*b376*b534 + 1352*b376*b535 + 364*
    b376*b536 + 2208*b376*b537 + 4784*b376*b538 + 1288*b376*b539 + 1896*b376*
    b540 + 4108*b376*b541 + 1106*b376*b542 + 2352*b376*b543 + 5096*b376*b544 + 
    1372*b376*b545 + 240*b376*b546 + 520*b376*b547 + 140*b376*b548 + 1224*b376*
    b549 + 2652*b376*b550 + 714*b376*b551 + 1536*b376*b552 + 3328*b376*b553 + 
    896*b376*b554 + 672*b376*b555 + 1456*b376*b556 + 392*b376*b557 + 2088*b376*
    b558 + 4524*b376*b559 + 1218*b376*b560 + 1248*b376*b561 + 2704*b376*b562 + 
    728*b376*b563 + 2160*b376*b564 + 4680*b376*b565 + 1260*b376*b566 + 1632*
    b376*b567 + 3536*b376*b568 + 952*b376*b569 + 1968*b376*b570 + 4264*b376*
    b571 + 1148*b376*b572 + 792*b376*b573 + 1716*b376*b574 + 462*b376*b575 + 
    960*b376*b579 + 2080*b376*b580 + 560*b376*b581 + 1320*b376*b582 + 2860*b376
    *b583 + 770*b376*b584 + 720*b376*b585 + 1560*b376*b586 + 420*b376*b587 + 
    528*b376*b588 + 1144*b376*b589 + 308*b376*b590 + 1824*b376*b591 + 3952*b376
    *b592 + 1064*b376*b593 + 1320*b376*b594 + 2860*b376*b595 + 770*b376*b596 + 
    1344*b376*b597 + 2912*b376*b598 + 784*b376*b599 + 8500*b376*b600 + 4800*
    b376*b601 + 2600*b376*b602 + 6000*b376*b603 + 4400*b376*b604 + 3000*b376*
    b605 + 5000*b376*b606 + 4900*b376*b607 + 300*b376*b608 + 6800*b376*b609 + 
    3500*b376*b610 + 6200*b376*b611 + 3900*b376*b612 + 6600*b376*b613 + 2600*
    b376*b614 + 9100*b376*b615 + 4300*b376*b616 + 500*b376*b617 + 8200*b376*
    b618 + 3100*b376*b619 + 100*b376*b620 + 700*b376*b622 + 7100*b376*b623 + 
    1248*b376*b624 + 2704*b376*b625 + 728*b376*b626 + 4732*b377*b400 + 16562*
    b377*b401 + 2002*b377*b402 + 6370*b377*b403 + 14924*b377*b404 + 4732*b377*
    b405 + 12558*b377*b406 + 10192*b377*b407 + 15652*b377*b408 + 8190*b377*b409
     + 16562*b377*b410 + 10738*b377*b411 + 3276*b377*b412 + 13832*b377*b413 + 
    3276*b377*b414 + 10374*b377*b415 + 6552*b377*b416 + 11102*b377*b417 + 6552*
    b377*b418 + 3822*b377*b419 + 12922*b377*b420 + 3848*b377*b422 + 13468*b377*
    b423 + 1628*b377*b424 + 5180*b377*b425 + 12136*b377*b426 + 3848*b377*b427
     + 10212*b377*b428 + 8288*b377*b429 + 12728*b377*b430 + 6660*b377*b431 + 
    13468*b377*b432 + 8732*b377*b433 + 2664*b377*b434 + 11248*b377*b435 + 2664*
    b377*b436 + 8436*b377*b437 + 5328*b377*b438 + 9028*b377*b439 + 5328*b377*
    b440 + 3108*b377*b441 + 10508*b377*b442 + 4264*b377*b444 + 14924*b377*b445
     + 1804*b377*b446 + 5740*b377*b447 + 13448*b377*b448 + 4264*b377*b449 + 
    11316*b377*b450 + 9184*b377*b451 + 14104*b377*b452 + 7380*b377*b453 + 14924
    *b377*b454 + 9676*b377*b455 + 2952*b377*b456 + 12464*b377*b457 + 2952*b377*
    b458 + 9348*b377*b459 + 5904*b377*b460 + 10004*b377*b461 + 5904*b377*b462
     + 3444*b377*b463 + 11644*b377*b464 + 4992*b377*b466 + 17472*b377*b467 + 
    2112*b377*b468 + 6720*b377*b469 + 15744*b377*b470 + 4992*b377*b471 + 13248*
    b377*b472 + 10752*b377*b473 + 16512*b377*b474 + 8640*b377*b475 + 17472*b377
    *b476 + 11328*b377*b477 + 3456*b377*b478 + 14592*b377*b479 + 3456*b377*b480
     + 10944*b377*b481 + 6912*b377*b482 + 11712*b377*b483 + 6912*b377*b484 + 
    4032*b377*b485 + 13632*b377*b486 + 104*b377*b488 + 364*b377*b489 + 44*b377*
    b490 + 140*b377*b491 + 328*b377*b492 + 104*b377*b493 + 276*b377*b494 + 224*
    b377*b495 + 344*b377*b496 + 180*b377*b497 + 364*b377*b498 + 236*b377*b499
     + 72*b377*b500 + 304*b377*b501 + 72*b377*b502 + 228*b377*b503 + 144*b377*
    b504 + 244*b377*b505 + 144*b377*b506 + 84*b377*b507 + 284*b377*b508 + 676*
    b377*b510 + 2366*b377*b511 + 286*b377*b512 + 910*b377*b513 + 2132*b377*b514
     + 676*b377*b515 + 1794*b377*b516 + 1456*b377*b517 + 2236*b377*b518 + 1170*
    b377*b519 + 2366*b377*b520 + 1534*b377*b521 + 468*b377*b522 + 1976*b377*
    b523 + 468*b377*b524 + 1482*b377*b525 + 936*b377*b526 + 1586*b377*b527 + 
    936*b377*b528 + 546*b377*b529 + 1846*b377*b530 + 504*b377*b531 + 936*b377*
    b532 + 264*b377*b533 + 42*b377*b534 + 78*b377*b535 + 22*b377*b536 + 2646*
    b377*b537 + 4914*b377*b538 + 1386*b377*b539 + 3150*b377*b540 + 5850*b377*
    b541 + 1650*b377*b542 + 2898*b377*b543 + 5382*b377*b544 + 1518*b377*b545 + 
    1932*b377*b546 + 3588*b377*b547 + 1012*b377*b548 + 3654*b377*b549 + 6786*
    b377*b550 + 1914*b377*b551 + 2394*b377*b552 + 4446*b377*b553 + 1254*b377*
    b554 + 3150*b377*b555 + 5850*b377*b556 + 1650*b377*b557 + 3360*b377*b558 + 
    6240*b377*b559 + 1760*b377*b560 + 3864*b377*b561 + 7176*b377*b562 + 2024*
    b377*b563 + 2940*b377*b564 + 5460*b377*b565 + 1540*b377*b566 + 1470*b377*
    b567 + 2730*b377*b568 + 770*b377*b569 + 1134*b377*b570 + 2106*b377*b571 + 
    594*b377*b572 + 966*b377*b573 + 1794*b377*b574 + 506*b377*b575 + 1680*b377*
    b576 + 3120*b377*b577 + 880*b377*b578 + 3822*b377*b582 + 7098*b377*b583 + 
    2002*b377*b584 + 3108*b377*b585 + 5772*b377*b586 + 1628*b377*b587 + 3444*
    b377*b588 + 6396*b377*b589 + 1804*b377*b590 + 4032*b377*b591 + 7488*b377*
    b592 + 2112*b377*b593 + 84*b377*b594 + 156*b377*b595 + 44*b377*b596 + 546*
    b377*b597 + 1014*b377*b598 + 286*b377*b599 + 1924*b377*b600 + 6734*b377*
    b601 + 814*b377*b602 + 2590*b377*b603 + 6068*b377*b604 + 1924*b377*b605 + 
    5106*b377*b606 + 4144*b377*b607 + 6364*b377*b608 + 3330*b377*b609 + 6734*
    b377*b610 + 4366*b377*b611 + 1332*b377*b612 + 5624*b377*b613 + 2886*b377*
    b614 + 1332*b377*b615 + 4218*b377*b616 + 2664*b377*b617 + 4514*b377*b618 + 
    2664*b377*b619 + 1554*b377*b620 + 5254*b377*b621 + 814*b377*b622 + 1092*
    b377*b624 + 2028*b377*b625 + 572*b377*b626 + 4732*b378*b399 + 5278*b378*
    b401 + 14924*b378*b402 + 14924*b378*b403 + 1092*b378*b404 + 12922*b378*b405
     + 1456*b378*b406 + 14014*b378*b407 + 13468*b378*b408 + 5460*b378*b409 + 
    16198*b378*b410 + 13832*b378*b411 + 13832*b378*b412 + 7280*b378*b413 + 
    10192*b378*b414 + 182*b378*b415 + 9100*b378*b416 + 728*b378*b417 + 6552*
    b378*b418 + 4914*b378*b419 + 15470*b378*b420 + 3848*b378*b421 + 4292*b378*
    b423 + 12136*b378*b424 + 12136*b378*b425 + 888*b378*b426 + 10508*b378*b427
     + 1184*b378*b428 + 11396*b378*b429 + 10952*b378*b430 + 4440*b378*b431 + 
    13172*b378*b432 + 11248*b378*b433 + 11248*b378*b434 + 5920*b378*b435 + 8288
    *b378*b436 + 148*b378*b437 + 7400*b378*b438 + 592*b378*b439 + 5328*b378*
    b440 + 3996*b378*b441 + 12580*b378*b442 + 4264*b378*b443 + 4756*b378*b445
     + 13448*b378*b446 + 13448*b378*b447 + 984*b378*b448 + 11644*b378*b449 + 
    1312*b378*b450 + 12628*b378*b451 + 12136*b378*b452 + 4920*b378*b453 + 14596
    *b378*b454 + 12464*b378*b455 + 12464*b378*b456 + 6560*b378*b457 + 9184*b378
    *b458 + 164*b378*b459 + 8200*b378*b460 + 656*b378*b461 + 5904*b378*b462 + 
    4428*b378*b463 + 13940*b378*b464 + 4992*b378*b465 + 5568*b378*b467 + 15744*
    b378*b468 + 15744*b378*b469 + 1152*b378*b470 + 13632*b378*b471 + 1536*b378*
    b472 + 14784*b378*b473 + 14208*b378*b474 + 5760*b378*b475 + 17088*b378*b476
     + 14592*b378*b477 + 14592*b378*b478 + 7680*b378*b479 + 10752*b378*b480 + 
    192*b378*b481 + 9600*b378*b482 + 768*b378*b483 + 6912*b378*b484 + 5184*b378
    *b485 + 16320*b378*b486 + 104*b378*b487 + 116*b378*b489 + 328*b378*b490 + 
    328*b378*b491 + 24*b378*b492 + 284*b378*b493 + 32*b378*b494 + 308*b378*b495
     + 296*b378*b496 + 120*b378*b497 + 356*b378*b498 + 304*b378*b499 + 304*b378
    *b500 + 160*b378*b501 + 224*b378*b502 + 4*b378*b503 + 200*b378*b504 + 16*
    b378*b505 + 144*b378*b506 + 108*b378*b507 + 340*b378*b508 + 676*b378*b509
     + 754*b378*b511 + 2132*b378*b512 + 2132*b378*b513 + 156*b378*b514 + 1846*
    b378*b515 + 208*b378*b516 + 2002*b378*b517 + 1924*b378*b518 + 780*b378*b519
     + 2314*b378*b520 + 1976*b378*b521 + 1976*b378*b522 + 1040*b378*b523 + 1456
    *b378*b524 + 26*b378*b525 + 1300*b378*b526 + 104*b378*b527 + 936*b378*b528
     + 702*b378*b529 + 2210*b378*b530 + 2280*b378*b531 + 2232*b378*b532 + 48*
    b378*b533 + 190*b378*b534 + 186*b378*b535 + 4*b378*b536 + 11970*b378*b537
     + 11718*b378*b538 + 252*b378*b539 + 14250*b378*b540 + 13950*b378*b541 + 
    300*b378*b542 + 13110*b378*b543 + 12834*b378*b544 + 276*b378*b545 + 8740*
    b378*b546 + 8556*b378*b547 + 184*b378*b548 + 16530*b378*b549 + 16182*b378*
    b550 + 348*b378*b551 + 10830*b378*b552 + 10602*b378*b553 + 228*b378*b554 + 
    14250*b378*b555 + 13950*b378*b556 + 300*b378*b557 + 15200*b378*b558 + 14880
    *b378*b559 + 320*b378*b560 + 17480*b378*b561 + 17112*b378*b562 + 368*b378*
    b563 + 13300*b378*b564 + 13020*b378*b565 + 280*b378*b566 + 6650*b378*b567
     + 6510*b378*b568 + 140*b378*b569 + 5130*b378*b570 + 5022*b378*b571 + 108*
    b378*b572 + 4370*b378*b573 + 4278*b378*b574 + 92*b378*b575 + 7600*b378*b576
     + 7440*b378*b577 + 160*b378*b578 + 17290*b378*b582 + 16926*b378*b583 + 364
    *b378*b584 + 14060*b378*b585 + 13764*b378*b586 + 296*b378*b587 + 15580*b378
    *b588 + 15252*b378*b589 + 328*b378*b590 + 18240*b378*b591 + 17856*b378*b592
     + 384*b378*b593 + 380*b378*b594 + 372*b378*b595 + 8*b378*b596 + 2470*b378*
    b597 + 2418*b378*b598 + 52*b378*b599 + 2146*b378*b601 + 6068*b378*b602 + 
    6068*b378*b603 + 444*b378*b604 + 5254*b378*b605 + 592*b378*b606 + 5698*b378
    *b607 + 5476*b378*b608 + 2220*b378*b609 + 6586*b378*b610 + 5624*b378*b611
     + 5624*b378*b612 + 2960*b378*b613 + 6882*b378*b614 + 4144*b378*b615 + 74*
    b378*b616 + 3700*b378*b617 + 296*b378*b618 + 2664*b378*b619 + 1998*b378*
    b620 + 6290*b378*b621 + 148*b378*b622 + 1924*b378*b623 + 4940*b378*b624 + 
    4836*b378*b625 + 104*b378*b626 + 16562*b379*b399 + 5278*b379*b400 + 182*
    b379*b402 + 2730*b379*b403 + 2002*b379*b404 + 6370*b379*b405 + 2002*b379*
    b406 + 3640*b379*b407 + 3822*b379*b408 + 11102*b379*b409 + 14560*b379*b410
     + 10556*b379*b411 + 3822*b379*b412 + 13832*b379*b413 + 8008*b379*b414 + 
    15470*b379*b415 + 17108*b379*b416 + 16380*b379*b417 + 9282*b379*b418 + 546*
    b379*b419 + 8736*b379*b420 + 13468*b379*b421 + 4292*b379*b422 + 148*b379*
    b424 + 2220*b379*b425 + 1628*b379*b426 + 5180*b379*b427 + 1628*b379*b428 + 
    2960*b379*b429 + 3108*b379*b430 + 9028*b379*b431 + 11840*b379*b432 + 8584*
    b379*b433 + 3108*b379*b434 + 11248*b379*b435 + 6512*b379*b436 + 12580*b379*
    b437 + 13912*b379*b438 + 13320*b379*b439 + 7548*b379*b440 + 444*b379*b441
     + 7104*b379*b442 + 14924*b379*b443 + 4756*b379*b444 + 164*b379*b446 + 2460
    *b379*b447 + 1804*b379*b448 + 5740*b379*b449 + 1804*b379*b450 + 3280*b379*
    b451 + 3444*b379*b452 + 10004*b379*b453 + 13120*b379*b454 + 9512*b379*b455
     + 3444*b379*b456 + 12464*b379*b457 + 7216*b379*b458 + 13940*b379*b459 + 
    15416*b379*b460 + 14760*b379*b461 + 8364*b379*b462 + 492*b379*b463 + 7872*
    b379*b464 + 17472*b379*b465 + 5568*b379*b466 + 192*b379*b468 + 2880*b379*
    b469 + 2112*b379*b470 + 6720*b379*b471 + 2112*b379*b472 + 3840*b379*b473 + 
    4032*b379*b474 + 11712*b379*b475 + 15360*b379*b476 + 11136*b379*b477 + 4032
    *b379*b478 + 14592*b379*b479 + 8448*b379*b480 + 16320*b379*b481 + 18048*
    b379*b482 + 17280*b379*b483 + 9792*b379*b484 + 576*b379*b485 + 9216*b379*
    b486 + 364*b379*b487 + 116*b379*b488 + 4*b379*b490 + 60*b379*b491 + 44*b379
    *b492 + 140*b379*b493 + 44*b379*b494 + 80*b379*b495 + 84*b379*b496 + 244*
    b379*b497 + 320*b379*b498 + 232*b379*b499 + 84*b379*b500 + 304*b379*b501 + 
    176*b379*b502 + 340*b379*b503 + 376*b379*b504 + 360*b379*b505 + 204*b379*
    b506 + 12*b379*b507 + 192*b379*b508 + 2366*b379*b509 + 754*b379*b510 + 26*
    b379*b512 + 390*b379*b513 + 286*b379*b514 + 910*b379*b515 + 286*b379*b516
     + 520*b379*b517 + 546*b379*b518 + 1586*b379*b519 + 2080*b379*b520 + 1508*
    b379*b521 + 546*b379*b522 + 1976*b379*b523 + 1144*b379*b524 + 2210*b379*
    b525 + 2444*b379*b526 + 2340*b379*b527 + 1326*b379*b528 + 78*b379*b529 + 
    1248*b379*b530 + 1968*b379*b531 + 1728*b379*b532 + 696*b379*b533 + 164*b379
    *b534 + 144*b379*b535 + 58*b379*b536 + 10332*b379*b537 + 9072*b379*b538 + 
    3654*b379*b539 + 12300*b379*b540 + 10800*b379*b541 + 4350*b379*b542 + 11316
    *b379*b543 + 9936*b379*b544 + 4002*b379*b545 + 7544*b379*b546 + 6624*b379*
    b547 + 2668*b379*b548 + 14268*b379*b549 + 12528*b379*b550 + 5046*b379*b551
     + 9348*b379*b552 + 8208*b379*b553 + 3306*b379*b554 + 12300*b379*b555 + 
    10800*b379*b556 + 4350*b379*b557 + 13120*b379*b558 + 11520*b379*b559 + 4640
    *b379*b560 + 15088*b379*b561 + 13248*b379*b562 + 5336*b379*b563 + 11480*
    b379*b564 + 10080*b379*b565 + 4060*b379*b566 + 5740*b379*b567 + 5040*b379*
    b568 + 2030*b379*b569 + 4428*b379*b570 + 3888*b379*b571 + 1566*b379*b572 + 
    3772*b379*b573 + 3312*b379*b574 + 1334*b379*b575 + 6560*b379*b576 + 5760*
    b379*b577 + 2320*b379*b578 + 14924*b379*b582 + 13104*b379*b583 + 5278*b379*
    b584 + 12136*b379*b585 + 10656*b379*b586 + 4292*b379*b587 + 13448*b379*b588
     + 11808*b379*b589 + 4756*b379*b590 + 15744*b379*b591 + 13824*b379*b592 + 
    5568*b379*b593 + 328*b379*b594 + 288*b379*b595 + 116*b379*b596 + 2132*b379*
    b597 + 1872*b379*b598 + 754*b379*b599 + 2146*b379*b600 + 74*b379*b602 + 
    1110*b379*b603 + 814*b379*b604 + 2590*b379*b605 + 814*b379*b606 + 1480*b379
    *b607 + 1554*b379*b608 + 4514*b379*b609 + 5920*b379*b610 + 4292*b379*b611
     + 1554*b379*b612 + 5624*b379*b613 + 5328*b379*b614 + 3256*b379*b615 + 6290
    *b379*b616 + 6956*b379*b617 + 6660*b379*b618 + 3774*b379*b619 + 222*b379*
    b620 + 3552*b379*b621 + 2146*b379*b622 + 6734*b379*b623 + 4264*b379*b624 + 
    3744*b379*b625 + 1508*b379*b626 + 2002*b380*b399 + 14924*b380*b400 + 182*
    b380*b401 + 16380*b380*b403 + 12012*b380*b404 + 7462*b380*b405 + 2730*b380*
    b406 + 15106*b380*b407 + 17472*b380*b408 + 13468*b380*b409 + 8190*b380*b410
     + 11830*b380*b411 + 7280*b380*b412 + 9828*b380*b413 + 2548*b380*b414 + 
    12922*b380*b415 + 14014*b380*b416 + 6552*b380*b417 + 9646*b380*b418 + 6734*
    b380*b419 + 4732*b380*b420 + 1628*b380*b421 + 12136*b380*b422 + 148*b380*
    b423 + 13320*b380*b425 + 9768*b380*b426 + 6068*b380*b427 + 2220*b380*b428
     + 12284*b380*b429 + 14208*b380*b430 + 10952*b380*b431 + 6660*b380*b432 + 
    9620*b380*b433 + 5920*b380*b434 + 7992*b380*b435 + 2072*b380*b436 + 10508*
    b380*b437 + 11396*b380*b438 + 5328*b380*b439 + 7844*b380*b440 + 5476*b380*
    b441 + 3848*b380*b442 + 1804*b380*b443 + 13448*b380*b444 + 164*b380*b445 + 
    14760*b380*b447 + 10824*b380*b448 + 6724*b380*b449 + 2460*b380*b450 + 13612
    *b380*b451 + 15744*b380*b452 + 12136*b380*b453 + 7380*b380*b454 + 10660*
    b380*b455 + 6560*b380*b456 + 8856*b380*b457 + 2296*b380*b458 + 11644*b380*
    b459 + 12628*b380*b460 + 5904*b380*b461 + 8692*b380*b462 + 6068*b380*b463
     + 4264*b380*b464 + 2112*b380*b465 + 15744*b380*b466 + 192*b380*b467 + 
    17280*b380*b469 + 12672*b380*b470 + 7872*b380*b471 + 2880*b380*b472 + 15936
    *b380*b473 + 18432*b380*b474 + 14208*b380*b475 + 8640*b380*b476 + 12480*
    b380*b477 + 7680*b380*b478 + 10368*b380*b479 + 2688*b380*b480 + 13632*b380*
    b481 + 14784*b380*b482 + 6912*b380*b483 + 10176*b380*b484 + 7104*b380*b485
     + 4992*b380*b486 + 44*b380*b487 + 328*b380*b488 + 4*b380*b489 + 360*b380*
    b491 + 264*b380*b492 + 164*b380*b493 + 60*b380*b494 + 332*b380*b495 + 384*
    b380*b496 + 296*b380*b497 + 180*b380*b498 + 260*b380*b499 + 160*b380*b500
     + 216*b380*b501 + 56*b380*b502 + 284*b380*b503 + 308*b380*b504 + 144*b380*
    b505 + 212*b380*b506 + 148*b380*b507 + 104*b380*b508 + 286*b380*b509 + 2132
    *b380*b510 + 26*b380*b511 + 2340*b380*b513 + 1716*b380*b514 + 1066*b380*
    b515 + 390*b380*b516 + 2158*b380*b517 + 2496*b380*b518 + 1924*b380*b519 + 
    1170*b380*b520 + 1690*b380*b521 + 1040*b380*b522 + 1404*b380*b523 + 364*
    b380*b524 + 1846*b380*b525 + 2002*b380*b526 + 936*b380*b527 + 1378*b380*
    b528 + 962*b380*b529 + 676*b380*b530 + 1344*b380*b531 + 1992*b380*b532 + 
    2088*b380*b533 + 112*b380*b534 + 166*b380*b535 + 174*b380*b536 + 7056*b380*
    b537 + 10458*b380*b538 + 10962*b380*b539 + 8400*b380*b540 + 12450*b380*b541
     + 13050*b380*b542 + 7728*b380*b543 + 11454*b380*b544 + 12006*b380*b545 + 
    5152*b380*b546 + 7636*b380*b547 + 8004*b380*b548 + 9744*b380*b549 + 14442*
    b380*b550 + 15138*b380*b551 + 6384*b380*b552 + 9462*b380*b553 + 9918*b380*
    b554 + 8400*b380*b555 + 12450*b380*b556 + 13050*b380*b557 + 8960*b380*b558
     + 13280*b380*b559 + 13920*b380*b560 + 10304*b380*b561 + 15272*b380*b562 + 
    16008*b380*b563 + 7840*b380*b564 + 11620*b380*b565 + 12180*b380*b566 + 3920
    *b380*b567 + 5810*b380*b568 + 6090*b380*b569 + 3024*b380*b570 + 4482*b380*
    b571 + 4698*b380*b572 + 2576*b380*b573 + 3818*b380*b574 + 4002*b380*b575 + 
    4480*b380*b576 + 6640*b380*b577 + 6960*b380*b578 + 10192*b380*b582 + 15106*
    b380*b583 + 15834*b380*b584 + 8288*b380*b585 + 12284*b380*b586 + 12876*b380
    *b587 + 9184*b380*b588 + 13612*b380*b589 + 14268*b380*b590 + 10752*b380*
    b591 + 15936*b380*b592 + 16704*b380*b593 + 224*b380*b594 + 332*b380*b595 + 
    348*b380*b596 + 1456*b380*b597 + 2158*b380*b598 + 2262*b380*b599 + 6068*
    b380*b600 + 74*b380*b601 + 6660*b380*b603 + 4884*b380*b604 + 3034*b380*b605
     + 1110*b380*b606 + 6142*b380*b607 + 7104*b380*b608 + 5476*b380*b609 + 3330
    *b380*b610 + 4810*b380*b611 + 2960*b380*b612 + 3996*b380*b613 + 6142*b380*
    b614 + 1036*b380*b615 + 5254*b380*b616 + 5698*b380*b617 + 2664*b380*b618 + 
    3922*b380*b619 + 2738*b380*b620 + 1924*b380*b621 + 6438*b380*b622 + 814*
    b380*b623 + 2912*b380*b624 + 4316*b380*b625 + 4524*b380*b626 + 6370*b381*
    b399 + 14924*b381*b400 + 2730*b381*b401 + 16380*b381*b402 + 13832*b381*b404
     + 16562*b381*b405 + 2366*b381*b406 + 5278*b381*b407 + 2002*b381*b408 + 
    14014*b381*b409 + 5824*b381*b410 + 15834*b381*b411 + 12194*b381*b412 + 
    17108*b381*b413 + 364*b381*b414 + 1820*b381*b415 + 18018*b381*b416 + 10192*
    b381*b417 + 12740*b381*b418 + 18018*b381*b419 + 10920*b381*b420 + 5180*b381
    *b421 + 12136*b381*b422 + 2220*b381*b423 + 13320*b381*b424 + 11248*b381*
    b426 + 13468*b381*b427 + 1924*b381*b428 + 4292*b381*b429 + 1628*b381*b430
     + 11396*b381*b431 + 4736*b381*b432 + 12876*b381*b433 + 9916*b381*b434 + 
    13912*b381*b435 + 296*b381*b436 + 1480*b381*b437 + 14652*b381*b438 + 8288*
    b381*b439 + 10360*b381*b440 + 14652*b381*b441 + 8880*b381*b442 + 5740*b381*
    b443 + 13448*b381*b444 + 2460*b381*b445 + 14760*b381*b446 + 12464*b381*b448
     + 14924*b381*b449 + 2132*b381*b450 + 4756*b381*b451 + 1804*b381*b452 + 
    12628*b381*b453 + 5248*b381*b454 + 14268*b381*b455 + 10988*b381*b456 + 
    15416*b381*b457 + 328*b381*b458 + 1640*b381*b459 + 16236*b381*b460 + 9184*
    b381*b461 + 11480*b381*b462 + 16236*b381*b463 + 9840*b381*b464 + 6720*b381*
    b465 + 15744*b381*b466 + 2880*b381*b467 + 17280*b381*b468 + 14592*b381*b470
     + 17472*b381*b471 + 2496*b381*b472 + 5568*b381*b473 + 2112*b381*b474 + 
    14784*b381*b475 + 6144*b381*b476 + 16704*b381*b477 + 12864*b381*b478 + 
    18048*b381*b479 + 384*b381*b480 + 1920*b381*b481 + 19008*b381*b482 + 10752*
    b381*b483 + 13440*b381*b484 + 19008*b381*b485 + 11520*b381*b486 + 140*b381*
    b487 + 328*b381*b488 + 60*b381*b489 + 360*b381*b490 + 304*b381*b492 + 364*
    b381*b493 + 52*b381*b494 + 116*b381*b495 + 44*b381*b496 + 308*b381*b497 + 
    128*b381*b498 + 348*b381*b499 + 268*b381*b500 + 376*b381*b501 + 8*b381*b502
     + 40*b381*b503 + 396*b381*b504 + 224*b381*b505 + 280*b381*b506 + 396*b381*
    b507 + 240*b381*b508 + 910*b381*b509 + 2132*b381*b510 + 390*b381*b511 + 
    2340*b381*b512 + 1976*b381*b514 + 2366*b381*b515 + 338*b381*b516 + 754*b381
    *b517 + 286*b381*b518 + 2002*b381*b519 + 832*b381*b520 + 2262*b381*b521 + 
    1742*b381*b522 + 2444*b381*b523 + 52*b381*b524 + 260*b381*b525 + 2574*b381*
    b526 + 1456*b381*b527 + 1820*b381*b528 + 2574*b381*b529 + 1560*b381*b530 + 
    984*b381*b531 + 1896*b381*b532 + 96*b381*b533 + 82*b381*b534 + 158*b381*
    b535 + 8*b381*b536 + 5166*b381*b537 + 9954*b381*b538 + 504*b381*b539 + 6150
    *b381*b540 + 11850*b381*b541 + 600*b381*b542 + 5658*b381*b543 + 10902*b381*
    b544 + 552*b381*b545 + 3772*b381*b546 + 7268*b381*b547 + 368*b381*b548 + 
    7134*b381*b549 + 13746*b381*b550 + 696*b381*b551 + 4674*b381*b552 + 9006*
    b381*b553 + 456*b381*b554 + 6150*b381*b555 + 11850*b381*b556 + 600*b381*
    b557 + 6560*b381*b558 + 12640*b381*b559 + 640*b381*b560 + 7544*b381*b561 + 
    14536*b381*b562 + 736*b381*b563 + 5740*b381*b564 + 11060*b381*b565 + 560*
    b381*b566 + 2870*b381*b567 + 5530*b381*b568 + 280*b381*b569 + 2214*b381*
    b570 + 4266*b381*b571 + 216*b381*b572 + 1886*b381*b573 + 3634*b381*b574 + 
    184*b381*b575 + 3280*b381*b576 + 6320*b381*b577 + 320*b381*b578 + 7462*b381
    *b582 + 14378*b381*b583 + 728*b381*b584 + 6068*b381*b585 + 11692*b381*b586
     + 592*b381*b587 + 6724*b381*b588 + 12956*b381*b589 + 656*b381*b590 + 7872*
    b381*b591 + 15168*b381*b592 + 768*b381*b593 + 164*b381*b594 + 316*b381*b595
     + 16*b381*b596 + 1066*b381*b597 + 2054*b381*b598 + 104*b381*b599 + 6068*
    b381*b600 + 1110*b381*b601 + 6660*b381*b602 + 5624*b381*b604 + 6734*b381*
    b605 + 962*b381*b606 + 2146*b381*b607 + 814*b381*b608 + 5698*b381*b609 + 
    2368*b381*b610 + 6438*b381*b611 + 4958*b381*b612 + 6956*b381*b613 + 5846*
    b381*b614 + 148*b381*b615 + 740*b381*b616 + 7326*b381*b617 + 4144*b381*b618
     + 5180*b381*b619 + 7326*b381*b620 + 4440*b381*b621 + 296*b381*b622 + 2590*
    b381*b623 + 2132*b381*b624 + 4108*b381*b625 + 208*b381*b626 + 14924*b382*
    b399 + 1092*b382*b400 + 2002*b382*b401 + 12012*b382*b402 + 13832*b382*b403
     + 10192*b382*b405 + 364*b382*b406 + 10920*b382*b407 + 13104*b382*b408 + 
    13468*b382*b409 + 8372*b382*b410 + 2366*b382*b411 + 3640*b382*b412 + 15652*
    b382*b413 + 14014*b382*b414 + 2730*b382*b415 + 16198*b382*b416 + 8736*b382*
    b417 + 2548*b382*b418 + 16198*b382*b419 + 8008*b382*b420 + 12136*b382*b421
     + 888*b382*b422 + 1628*b382*b423 + 9768*b382*b424 + 11248*b382*b425 + 8288
    *b382*b427 + 296*b382*b428 + 8880*b382*b429 + 10656*b382*b430 + 10952*b382*
    b431 + 6808*b382*b432 + 1924*b382*b433 + 2960*b382*b434 + 12728*b382*b435
     + 11396*b382*b436 + 2220*b382*b437 + 13172*b382*b438 + 7104*b382*b439 + 
    2072*b382*b440 + 13172*b382*b441 + 6512*b382*b442 + 13448*b382*b443 + 984*
    b382*b444 + 1804*b382*b445 + 10824*b382*b446 + 12464*b382*b447 + 9184*b382*
    b449 + 328*b382*b450 + 9840*b382*b451 + 11808*b382*b452 + 12136*b382*b453
     + 7544*b382*b454 + 2132*b382*b455 + 3280*b382*b456 + 14104*b382*b457 + 
    12628*b382*b458 + 2460*b382*b459 + 14596*b382*b460 + 7872*b382*b461 + 2296*
    b382*b462 + 14596*b382*b463 + 7216*b382*b464 + 15744*b382*b465 + 1152*b382*
    b466 + 2112*b382*b467 + 12672*b382*b468 + 14592*b382*b469 + 10752*b382*b471
     + 384*b382*b472 + 11520*b382*b473 + 13824*b382*b474 + 14208*b382*b475 + 
    8832*b382*b476 + 2496*b382*b477 + 3840*b382*b478 + 16512*b382*b479 + 14784*
    b382*b480 + 2880*b382*b481 + 17088*b382*b482 + 9216*b382*b483 + 2688*b382*
    b484 + 17088*b382*b485 + 8448*b382*b486 + 328*b382*b487 + 24*b382*b488 + 44
    *b382*b489 + 264*b382*b490 + 304*b382*b491 + 224*b382*b493 + 8*b382*b494 + 
    240*b382*b495 + 288*b382*b496 + 296*b382*b497 + 184*b382*b498 + 52*b382*
    b499 + 80*b382*b500 + 344*b382*b501 + 308*b382*b502 + 60*b382*b503 + 356*
    b382*b504 + 192*b382*b505 + 56*b382*b506 + 356*b382*b507 + 176*b382*b508 + 
    2132*b382*b509 + 156*b382*b510 + 286*b382*b511 + 1716*b382*b512 + 1976*b382
    *b513 + 1456*b382*b515 + 52*b382*b516 + 1560*b382*b517 + 1872*b382*b518 + 
    1924*b382*b519 + 1196*b382*b520 + 338*b382*b521 + 520*b382*b522 + 2236*b382
    *b523 + 2002*b382*b524 + 390*b382*b525 + 2314*b382*b526 + 1248*b382*b527 + 
    364*b382*b528 + 2314*b382*b529 + 1144*b382*b530 + 144*b382*b531 + 96*b382*
    b532 + 1416*b382*b533 + 12*b382*b534 + 8*b382*b535 + 118*b382*b536 + 756*
    b382*b537 + 504*b382*b538 + 7434*b382*b539 + 900*b382*b540 + 600*b382*b541
     + 8850*b382*b542 + 828*b382*b543 + 552*b382*b544 + 8142*b382*b545 + 552*
    b382*b546 + 368*b382*b547 + 5428*b382*b548 + 1044*b382*b549 + 696*b382*b550
     + 10266*b382*b551 + 684*b382*b552 + 456*b382*b553 + 6726*b382*b554 + 900*
    b382*b555 + 600*b382*b556 + 8850*b382*b557 + 960*b382*b558 + 640*b382*b559
     + 9440*b382*b560 + 1104*b382*b561 + 736*b382*b562 + 10856*b382*b563 + 840*
    b382*b564 + 560*b382*b565 + 8260*b382*b566 + 420*b382*b567 + 280*b382*b568
     + 4130*b382*b569 + 324*b382*b570 + 216*b382*b571 + 3186*b382*b572 + 276*
    b382*b573 + 184*b382*b574 + 2714*b382*b575 + 480*b382*b576 + 320*b382*b577
     + 4720*b382*b578 + 1092*b382*b582 + 728*b382*b583 + 10738*b382*b584 + 888*
    b382*b585 + 592*b382*b586 + 8732*b382*b587 + 984*b382*b588 + 656*b382*b589
     + 9676*b382*b590 + 1152*b382*b591 + 768*b382*b592 + 11328*b382*b593 + 24*
    b382*b594 + 16*b382*b595 + 236*b382*b596 + 156*b382*b597 + 104*b382*b598 + 
    1534*b382*b599 + 444*b382*b600 + 814*b382*b601 + 4884*b382*b602 + 5624*b382
    *b603 + 4144*b382*b605 + 148*b382*b606 + 4440*b382*b607 + 5328*b382*b608 + 
    5476*b382*b609 + 3404*b382*b610 + 962*b382*b611 + 1480*b382*b612 + 6364*
    b382*b613 + 296*b382*b614 + 5698*b382*b615 + 1110*b382*b616 + 6586*b382*
    b617 + 3552*b382*b618 + 1036*b382*b619 + 6586*b382*b620 + 3256*b382*b621 + 
    4366*b382*b622 + 6068*b382*b623 + 312*b382*b624 + 208*b382*b625 + 3068*b382
    *b626 + 4732*b383*b399 + 12922*b383*b400 + 6370*b383*b401 + 7462*b383*b402
     + 16562*b383*b403 + 10192*b383*b404 + 4004*b383*b406 + 10374*b383*b407 + 
    11466*b383*b408 + 1092*b383*b409 + 11284*b383*b411 + 7462*b383*b412 + 11284
    *b383*b413 + 4550*b383*b414 + 13650*b383*b415 + 13832*b383*b416 + 7280*b383
    *b417 + 12012*b383*b418 + 10556*b383*b419 + 5460*b383*b420 + 3848*b383*b421
     + 10508*b383*b422 + 5180*b383*b423 + 6068*b383*b424 + 13468*b383*b425 + 
    8288*b383*b426 + 3256*b383*b428 + 8436*b383*b429 + 9324*b383*b430 + 888*
    b383*b431 + 9176*b383*b433 + 6068*b383*b434 + 9176*b383*b435 + 3700*b383*
    b436 + 11100*b383*b437 + 11248*b383*b438 + 5920*b383*b439 + 9768*b383*b440
     + 8584*b383*b441 + 4440*b383*b442 + 4264*b383*b443 + 11644*b383*b444 + 
    5740*b383*b445 + 6724*b383*b446 + 14924*b383*b447 + 9184*b383*b448 + 3608*
    b383*b450 + 9348*b383*b451 + 10332*b383*b452 + 984*b383*b453 + 10168*b383*
    b455 + 6724*b383*b456 + 10168*b383*b457 + 4100*b383*b458 + 12300*b383*b459
     + 12464*b383*b460 + 6560*b383*b461 + 10824*b383*b462 + 9512*b383*b463 + 
    4920*b383*b464 + 4992*b383*b465 + 13632*b383*b466 + 6720*b383*b467 + 7872*
    b383*b468 + 17472*b383*b469 + 10752*b383*b470 + 4224*b383*b472 + 10944*b383
    *b473 + 12096*b383*b474 + 1152*b383*b475 + 11904*b383*b477 + 7872*b383*b478
     + 11904*b383*b479 + 4800*b383*b480 + 14400*b383*b481 + 14592*b383*b482 + 
    7680*b383*b483 + 12672*b383*b484 + 11136*b383*b485 + 5760*b383*b486 + 104*
    b383*b487 + 284*b383*b488 + 140*b383*b489 + 164*b383*b490 + 364*b383*b491
     + 224*b383*b492 + 88*b383*b494 + 228*b383*b495 + 252*b383*b496 + 24*b383*
    b497 + 248*b383*b499 + 164*b383*b500 + 248*b383*b501 + 100*b383*b502 + 300*
    b383*b503 + 304*b383*b504 + 160*b383*b505 + 264*b383*b506 + 232*b383*b507
     + 120*b383*b508 + 676*b383*b509 + 1846*b383*b510 + 910*b383*b511 + 1066*
    b383*b512 + 2366*b383*b513 + 1456*b383*b514 + 572*b383*b516 + 1482*b383*
    b517 + 1638*b383*b518 + 156*b383*b519 + 1612*b383*b521 + 1066*b383*b522 + 
    1612*b383*b523 + 650*b383*b524 + 1950*b383*b525 + 1976*b383*b526 + 1040*
    b383*b527 + 1716*b383*b528 + 1508*b383*b529 + 780*b383*b530 + 600*b383*b531
     + 1104*b383*b532 + 1632*b383*b533 + 50*b383*b534 + 92*b383*b535 + 136*b383
    *b536 + 3150*b383*b537 + 5796*b383*b538 + 8568*b383*b539 + 3750*b383*b540
     + 6900*b383*b541 + 10200*b383*b542 + 3450*b383*b543 + 6348*b383*b544 + 
    9384*b383*b545 + 2300*b383*b546 + 4232*b383*b547 + 6256*b383*b548 + 4350*
    b383*b549 + 8004*b383*b550 + 11832*b383*b551 + 2850*b383*b552 + 5244*b383*
    b553 + 7752*b383*b554 + 3750*b383*b555 + 6900*b383*b556 + 10200*b383*b557
     + 4000*b383*b558 + 7360*b383*b559 + 10880*b383*b560 + 4600*b383*b561 + 
    8464*b383*b562 + 12512*b383*b563 + 3500*b383*b564 + 6440*b383*b565 + 9520*
    b383*b566 + 1750*b383*b567 + 3220*b383*b568 + 4760*b383*b569 + 1350*b383*
    b570 + 2484*b383*b571 + 3672*b383*b572 + 1150*b383*b573 + 2116*b383*b574 + 
    3128*b383*b575 + 2000*b383*b576 + 3680*b383*b577 + 5440*b383*b578 + 4550*
    b383*b582 + 8372*b383*b583 + 12376*b383*b584 + 3700*b383*b585 + 6808*b383*
    b586 + 10064*b383*b587 + 4100*b383*b588 + 7544*b383*b589 + 11152*b383*b590
     + 4800*b383*b591 + 8832*b383*b592 + 13056*b383*b593 + 100*b383*b594 + 184*
    b383*b595 + 272*b383*b596 + 650*b383*b597 + 1196*b383*b598 + 1768*b383*b599
     + 5254*b383*b600 + 2590*b383*b601 + 3034*b383*b602 + 6734*b383*b603 + 4144
    *b383*b604 + 1628*b383*b606 + 4218*b383*b607 + 4662*b383*b608 + 444*b383*
    b609 + 4588*b383*b611 + 3034*b383*b612 + 4588*b383*b613 + 3404*b383*b614 + 
    1850*b383*b615 + 5550*b383*b616 + 5624*b383*b617 + 2960*b383*b618 + 4884*
    b383*b619 + 4292*b383*b620 + 2220*b383*b621 + 5032*b383*b622 + 1924*b383*
    b623 + 1300*b383*b624 + 2392*b383*b625 + 3536*b383*b626 + 12558*b384*b399
     + 1456*b384*b400 + 2002*b384*b401 + 2730*b384*b402 + 2366*b384*b403 + 364*
    b384*b404 + 4004*b384*b405 + 14196*b384*b407 + 16562*b384*b408 + 2366*b384*
    b409 + 10738*b384*b410 + 8918*b384*b411 + 15470*b384*b412 + 15288*b384*b413
     + 6916*b384*b414 + 7462*b384*b415 + 10192*b384*b416 + 7098*b384*b417 + 
    9646*b384*b418 + 14014*b384*b419 + 9100*b384*b420 + 10212*b384*b421 + 1184*
    b384*b422 + 1628*b384*b423 + 2220*b384*b424 + 1924*b384*b425 + 296*b384*
    b426 + 3256*b384*b427 + 11544*b384*b429 + 13468*b384*b430 + 1924*b384*b431
     + 8732*b384*b432 + 7252*b384*b433 + 12580*b384*b434 + 12432*b384*b435 + 
    5624*b384*b436 + 6068*b384*b437 + 8288*b384*b438 + 5772*b384*b439 + 7844*
    b384*b440 + 11396*b384*b441 + 7400*b384*b442 + 11316*b384*b443 + 1312*b384*
    b444 + 1804*b384*b445 + 2460*b384*b446 + 2132*b384*b447 + 328*b384*b448 + 
    3608*b384*b449 + 12792*b384*b451 + 14924*b384*b452 + 2132*b384*b453 + 9676*
    b384*b454 + 8036*b384*b455 + 13940*b384*b456 + 13776*b384*b457 + 6232*b384*
    b458 + 6724*b384*b459 + 9184*b384*b460 + 6396*b384*b461 + 8692*b384*b462 + 
    12628*b384*b463 + 8200*b384*b464 + 13248*b384*b465 + 1536*b384*b466 + 2112*
    b384*b467 + 2880*b384*b468 + 2496*b384*b469 + 384*b384*b470 + 4224*b384*
    b471 + 14976*b384*b473 + 17472*b384*b474 + 2496*b384*b475 + 11328*b384*b476
     + 9408*b384*b477 + 16320*b384*b478 + 16128*b384*b479 + 7296*b384*b480 + 
    7872*b384*b481 + 10752*b384*b482 + 7488*b384*b483 + 10176*b384*b484 + 14784
    *b384*b485 + 9600*b384*b486 + 276*b384*b487 + 32*b384*b488 + 44*b384*b489
     + 60*b384*b490 + 52*b384*b491 + 8*b384*b492 + 88*b384*b493 + 312*b384*b495
     + 364*b384*b496 + 52*b384*b497 + 236*b384*b498 + 196*b384*b499 + 340*b384*
    b500 + 336*b384*b501 + 152*b384*b502 + 164*b384*b503 + 224*b384*b504 + 156*
    b384*b505 + 212*b384*b506 + 308*b384*b507 + 200*b384*b508 + 1794*b384*b509
     + 208*b384*b510 + 286*b384*b511 + 390*b384*b512 + 338*b384*b513 + 52*b384*
    b514 + 572*b384*b515 + 2028*b384*b517 + 2366*b384*b518 + 338*b384*b519 + 
    1534*b384*b520 + 1274*b384*b521 + 2210*b384*b522 + 2184*b384*b523 + 988*
    b384*b524 + 1066*b384*b525 + 1456*b384*b526 + 1014*b384*b527 + 1378*b384*
    b528 + 2002*b384*b529 + 1300*b384*b530 + 240*b384*b531 + 192*b384*b532 + 
    720*b384*b533 + 20*b384*b534 + 16*b384*b535 + 60*b384*b536 + 1260*b384*b537
     + 1008*b384*b538 + 3780*b384*b539 + 1500*b384*b540 + 1200*b384*b541 + 4500
    *b384*b542 + 1380*b384*b543 + 1104*b384*b544 + 4140*b384*b545 + 920*b384*
    b546 + 736*b384*b547 + 2760*b384*b548 + 1740*b384*b549 + 1392*b384*b550 + 
    5220*b384*b551 + 1140*b384*b552 + 912*b384*b553 + 3420*b384*b554 + 1500*
    b384*b555 + 1200*b384*b556 + 4500*b384*b557 + 1600*b384*b558 + 1280*b384*
    b559 + 4800*b384*b560 + 1840*b384*b561 + 1472*b384*b562 + 5520*b384*b563 + 
    1400*b384*b564 + 1120*b384*b565 + 4200*b384*b566 + 700*b384*b567 + 560*b384
    *b568 + 2100*b384*b569 + 540*b384*b570 + 432*b384*b571 + 1620*b384*b572 + 
    460*b384*b573 + 368*b384*b574 + 1380*b384*b575 + 800*b384*b576 + 640*b384*
    b577 + 2400*b384*b578 + 1820*b384*b582 + 1456*b384*b583 + 5460*b384*b584 + 
    1480*b384*b585 + 1184*b384*b586 + 4440*b384*b587 + 1640*b384*b588 + 1312*
    b384*b589 + 4920*b384*b590 + 1920*b384*b591 + 1536*b384*b592 + 5760*b384*
    b593 + 40*b384*b594 + 32*b384*b595 + 120*b384*b596 + 260*b384*b597 + 208*
    b384*b598 + 780*b384*b599 + 592*b384*b600 + 814*b384*b601 + 1110*b384*b602
     + 962*b384*b603 + 148*b384*b604 + 1628*b384*b605 + 5772*b384*b607 + 6734*
    b384*b608 + 962*b384*b609 + 4366*b384*b610 + 3626*b384*b611 + 6290*b384*
    b612 + 6216*b384*b613 + 592*b384*b614 + 2812*b384*b615 + 3034*b384*b616 + 
    4144*b384*b617 + 2886*b384*b618 + 3922*b384*b619 + 5698*b384*b620 + 3700*
    b384*b621 + 2220*b384*b622 + 5106*b384*b623 + 520*b384*b624 + 416*b384*b625
     + 1560*b384*b626 + 10192*b385*b399 + 14014*b385*b400 + 3640*b385*b401 + 
    15106*b385*b402 + 5278*b385*b403 + 10920*b385*b404 + 10374*b385*b405 + 
    14196*b385*b406 + 10556*b385*b408 + 10010*b385*b409 + 3458*b385*b410 + 
    15470*b385*b411 + 9464*b385*b412 + 6188*b385*b413 + 7280*b385*b414 + 12558*
    b385*b415 + 2184*b385*b416 + 15470*b385*b417 + 13104*b385*b418 + 1274*b385*
    b419 + 8918*b385*b420 + 8288*b385*b421 + 11396*b385*b422 + 2960*b385*b423
     + 12284*b385*b424 + 4292*b385*b425 + 8880*b385*b426 + 8436*b385*b427 + 
    11544*b385*b428 + 8584*b385*b430 + 8140*b385*b431 + 2812*b385*b432 + 12580*
    b385*b433 + 7696*b385*b434 + 5032*b385*b435 + 5920*b385*b436 + 10212*b385*
    b437 + 1776*b385*b438 + 12580*b385*b439 + 10656*b385*b440 + 1036*b385*b441
     + 7252*b385*b442 + 9184*b385*b443 + 12628*b385*b444 + 3280*b385*b445 + 
    13612*b385*b446 + 4756*b385*b447 + 9840*b385*b448 + 9348*b385*b449 + 12792*
    b385*b450 + 9512*b385*b452 + 9020*b385*b453 + 3116*b385*b454 + 13940*b385*
    b455 + 8528*b385*b456 + 5576*b385*b457 + 6560*b385*b458 + 11316*b385*b459
     + 1968*b385*b460 + 13940*b385*b461 + 11808*b385*b462 + 1148*b385*b463 + 
    8036*b385*b464 + 10752*b385*b465 + 14784*b385*b466 + 3840*b385*b467 + 15936
    *b385*b468 + 5568*b385*b469 + 11520*b385*b470 + 10944*b385*b471 + 14976*
    b385*b472 + 11136*b385*b474 + 10560*b385*b475 + 3648*b385*b476 + 16320*b385
    *b477 + 9984*b385*b478 + 6528*b385*b479 + 7680*b385*b480 + 13248*b385*b481
     + 2304*b385*b482 + 16320*b385*b483 + 13824*b385*b484 + 1344*b385*b485 + 
    9408*b385*b486 + 224*b385*b487 + 308*b385*b488 + 80*b385*b489 + 332*b385*
    b490 + 116*b385*b491 + 240*b385*b492 + 228*b385*b493 + 312*b385*b494 + 232*
    b385*b496 + 220*b385*b497 + 76*b385*b498 + 340*b385*b499 + 208*b385*b500 + 
    136*b385*b501 + 160*b385*b502 + 276*b385*b503 + 48*b385*b504 + 340*b385*
    b505 + 288*b385*b506 + 28*b385*b507 + 196*b385*b508 + 1456*b385*b509 + 2002
    *b385*b510 + 520*b385*b511 + 2158*b385*b512 + 754*b385*b513 + 1560*b385*
    b514 + 1482*b385*b515 + 2028*b385*b516 + 1508*b385*b518 + 1430*b385*b519 + 
    494*b385*b520 + 2210*b385*b521 + 1352*b385*b522 + 884*b385*b523 + 1040*b385
    *b524 + 1794*b385*b525 + 312*b385*b526 + 2210*b385*b527 + 1872*b385*b528 + 
    182*b385*b529 + 1274*b385*b530 + 96*b385*b531 + 1272*b385*b532 + 1104*b385*
    b533 + 8*b385*b534 + 106*b385*b535 + 92*b385*b536 + 504*b385*b537 + 6678*
    b385*b538 + 5796*b385*b539 + 600*b385*b540 + 7950*b385*b541 + 6900*b385*
    b542 + 552*b385*b543 + 7314*b385*b544 + 6348*b385*b545 + 368*b385*b546 + 
    4876*b385*b547 + 4232*b385*b548 + 696*b385*b549 + 9222*b385*b550 + 8004*
    b385*b551 + 456*b385*b552 + 6042*b385*b553 + 5244*b385*b554 + 600*b385*b555
     + 7950*b385*b556 + 6900*b385*b557 + 640*b385*b558 + 8480*b385*b559 + 7360*
    b385*b560 + 736*b385*b561 + 9752*b385*b562 + 8464*b385*b563 + 560*b385*b564
     + 7420*b385*b565 + 6440*b385*b566 + 280*b385*b567 + 3710*b385*b568 + 3220*
    b385*b569 + 216*b385*b570 + 2862*b385*b571 + 2484*b385*b572 + 184*b385*b573
     + 2438*b385*b574 + 2116*b385*b575 + 320*b385*b576 + 4240*b385*b577 + 3680*
    b385*b578 + 728*b385*b582 + 9646*b385*b583 + 8372*b385*b584 + 592*b385*b585
     + 7844*b385*b586 + 6808*b385*b587 + 656*b385*b588 + 8692*b385*b589 + 7544*
    b385*b590 + 768*b385*b591 + 10176*b385*b592 + 8832*b385*b593 + 16*b385*b594
     + 212*b385*b595 + 184*b385*b596 + 104*b385*b597 + 1378*b385*b598 + 1196*
    b385*b599 + 5698*b385*b600 + 1480*b385*b601 + 6142*b385*b602 + 2146*b385*
    b603 + 4440*b385*b604 + 4218*b385*b605 + 5772*b385*b606 + 4292*b385*b608 + 
    4070*b385*b609 + 1406*b385*b610 + 6290*b385*b611 + 3848*b385*b612 + 2516*
    b385*b613 + 3922*b385*b614 + 2960*b385*b615 + 5106*b385*b616 + 888*b385*
    b617 + 6290*b385*b618 + 5328*b385*b619 + 518*b385*b620 + 3626*b385*b621 + 
    3404*b385*b622 + 4144*b385*b623 + 208*b385*b624 + 2756*b385*b625 + 2392*
    b385*b626 + 15652*b386*b399 + 13468*b386*b400 + 3822*b386*b401 + 17472*b386
    *b402 + 2002*b386*b403 + 13104*b386*b404 + 11466*b386*b405 + 16562*b386*
    b406 + 10556*b386*b407 + 15834*b386*b409 + 10556*b386*b410 + 3094*b386*b411
     + 12376*b386*b412 + 4914*b386*b413 + 1092*b386*b414 + 12194*b386*b415 + 
    4732*b386*b416 + 14924*b386*b417 + 8008*b386*b418 + 6370*b386*b419 + 546*
    b386*b420 + 12728*b386*b421 + 10952*b386*b422 + 3108*b386*b423 + 14208*b386
    *b424 + 1628*b386*b425 + 10656*b386*b426 + 9324*b386*b427 + 13468*b386*b428
     + 8584*b386*b429 + 12876*b386*b431 + 8584*b386*b432 + 2516*b386*b433 + 
    10064*b386*b434 + 3996*b386*b435 + 888*b386*b436 + 9916*b386*b437 + 3848*
    b386*b438 + 12136*b386*b439 + 6512*b386*b440 + 5180*b386*b441 + 444*b386*
    b442 + 14104*b386*b443 + 12136*b386*b444 + 3444*b386*b445 + 15744*b386*b446
     + 1804*b386*b447 + 11808*b386*b448 + 10332*b386*b449 + 14924*b386*b450 + 
    9512*b386*b451 + 14268*b386*b453 + 9512*b386*b454 + 2788*b386*b455 + 11152*
    b386*b456 + 4428*b386*b457 + 984*b386*b458 + 10988*b386*b459 + 4264*b386*
    b460 + 13448*b386*b461 + 7216*b386*b462 + 5740*b386*b463 + 492*b386*b464 + 
    16512*b386*b465 + 14208*b386*b466 + 4032*b386*b467 + 18432*b386*b468 + 2112
    *b386*b469 + 13824*b386*b470 + 12096*b386*b471 + 17472*b386*b472 + 11136*
    b386*b473 + 16704*b386*b475 + 11136*b386*b476 + 3264*b386*b477 + 13056*b386
    *b478 + 5184*b386*b479 + 1152*b386*b480 + 12864*b386*b481 + 4992*b386*b482
     + 15744*b386*b483 + 8448*b386*b484 + 6720*b386*b485 + 576*b386*b486 + 344*
    b386*b487 + 296*b386*b488 + 84*b386*b489 + 384*b386*b490 + 44*b386*b491 + 
    288*b386*b492 + 252*b386*b493 + 364*b386*b494 + 232*b386*b495 + 348*b386*
    b497 + 232*b386*b498 + 68*b386*b499 + 272*b386*b500 + 108*b386*b501 + 24*
    b386*b502 + 268*b386*b503 + 104*b386*b504 + 328*b386*b505 + 176*b386*b506
     + 140*b386*b507 + 12*b386*b508 + 2236*b386*b509 + 1924*b386*b510 + 546*
    b386*b511 + 2496*b386*b512 + 286*b386*b513 + 1872*b386*b514 + 1638*b386*
    b515 + 2366*b386*b516 + 1508*b386*b517 + 2262*b386*b519 + 1508*b386*b520 + 
    442*b386*b521 + 1768*b386*b522 + 702*b386*b523 + 156*b386*b524 + 1742*b386*
    b525 + 676*b386*b526 + 2132*b386*b527 + 1144*b386*b528 + 910*b386*b529 + 78
    *b386*b530 + 1512*b386*b531 + 504*b386*b532 + 1488*b386*b533 + 126*b386*
    b534 + 42*b386*b535 + 124*b386*b536 + 7938*b386*b537 + 2646*b386*b538 + 
    7812*b386*b539 + 9450*b386*b540 + 3150*b386*b541 + 9300*b386*b542 + 8694*
    b386*b543 + 2898*b386*b544 + 8556*b386*b545 + 5796*b386*b546 + 1932*b386*
    b547 + 5704*b386*b548 + 10962*b386*b549 + 3654*b386*b550 + 10788*b386*b551
     + 7182*b386*b552 + 2394*b386*b553 + 7068*b386*b554 + 9450*b386*b555 + 3150
    *b386*b556 + 9300*b386*b557 + 10080*b386*b558 + 3360*b386*b559 + 9920*b386*
    b560 + 11592*b386*b561 + 3864*b386*b562 + 11408*b386*b563 + 8820*b386*b564
     + 2940*b386*b565 + 8680*b386*b566 + 4410*b386*b567 + 1470*b386*b568 + 4340
    *b386*b569 + 3402*b386*b570 + 1134*b386*b571 + 3348*b386*b572 + 2898*b386*
    b573 + 966*b386*b574 + 2852*b386*b575 + 5040*b386*b576 + 1680*b386*b577 + 
    4960*b386*b578 + 11466*b386*b582 + 3822*b386*b583 + 11284*b386*b584 + 9324*
    b386*b585 + 3108*b386*b586 + 9176*b386*b587 + 10332*b386*b588 + 3444*b386*
    b589 + 10168*b386*b590 + 12096*b386*b591 + 4032*b386*b592 + 11904*b386*b593
     + 252*b386*b594 + 84*b386*b595 + 248*b386*b596 + 1638*b386*b597 + 546*b386
    *b598 + 1612*b386*b599 + 5476*b386*b600 + 1554*b386*b601 + 7104*b386*b602
     + 814*b386*b603 + 5328*b386*b604 + 4662*b386*b605 + 6734*b386*b606 + 4292*
    b386*b607 + 6438*b386*b609 + 4292*b386*b610 + 1258*b386*b611 + 5032*b386*
    b612 + 1998*b386*b613 + 1554*b386*b614 + 444*b386*b615 + 4958*b386*b616 + 
    1924*b386*b617 + 6068*b386*b618 + 3256*b386*b619 + 2590*b386*b620 + 222*
    b386*b621 + 4588*b386*b622 + 6364*b386*b623 + 3276*b386*b624 + 1092*b386*
    b625 + 3224*b386*b626 + 8190*b387*b399 + 5460*b387*b400 + 11102*b387*b401
     + 13468*b387*b402 + 14014*b387*b403 + 13468*b387*b404 + 1092*b387*b405 + 
    2366*b387*b406 + 10010*b387*b407 + 15834*b387*b408 + 1456*b387*b410 + 9282*
    b387*b411 + 182*b387*b412 + 16562*b387*b413 + 15834*b387*b414 + 13104*b387*
    b415 + 8190*b387*b416 + 17472*b387*b417 + 1274*b387*b418 + 15834*b387*b419
     + 12376*b387*b420 + 6660*b387*b421 + 4440*b387*b422 + 9028*b387*b423 + 
    10952*b387*b424 + 11396*b387*b425 + 10952*b387*b426 + 888*b387*b427 + 1924*
    b387*b428 + 8140*b387*b429 + 12876*b387*b430 + 1184*b387*b432 + 7548*b387*
    b433 + 148*b387*b434 + 13468*b387*b435 + 12876*b387*b436 + 10656*b387*b437
     + 6660*b387*b438 + 14208*b387*b439 + 1036*b387*b440 + 12876*b387*b441 + 
    10064*b387*b442 + 7380*b387*b443 + 4920*b387*b444 + 10004*b387*b445 + 12136
    *b387*b446 + 12628*b387*b447 + 12136*b387*b448 + 984*b387*b449 + 2132*b387*
    b450 + 9020*b387*b451 + 14268*b387*b452 + 1312*b387*b454 + 8364*b387*b455
     + 164*b387*b456 + 14924*b387*b457 + 14268*b387*b458 + 11808*b387*b459 + 
    7380*b387*b460 + 15744*b387*b461 + 1148*b387*b462 + 14268*b387*b463 + 11152
    *b387*b464 + 8640*b387*b465 + 5760*b387*b466 + 11712*b387*b467 + 14208*b387
    *b468 + 14784*b387*b469 + 14208*b387*b470 + 1152*b387*b471 + 2496*b387*b472
     + 10560*b387*b473 + 16704*b387*b474 + 1536*b387*b476 + 9792*b387*b477 + 
    192*b387*b478 + 17472*b387*b479 + 16704*b387*b480 + 13824*b387*b481 + 8640*
    b387*b482 + 18432*b387*b483 + 1344*b387*b484 + 16704*b387*b485 + 13056*b387
    *b486 + 180*b387*b487 + 120*b387*b488 + 244*b387*b489 + 296*b387*b490 + 308
    *b387*b491 + 296*b387*b492 + 24*b387*b493 + 52*b387*b494 + 220*b387*b495 + 
    348*b387*b496 + 32*b387*b498 + 204*b387*b499 + 4*b387*b500 + 364*b387*b501
     + 348*b387*b502 + 288*b387*b503 + 180*b387*b504 + 384*b387*b505 + 28*b387*
    b506 + 348*b387*b507 + 272*b387*b508 + 1170*b387*b509 + 780*b387*b510 + 
    1586*b387*b511 + 1924*b387*b512 + 2002*b387*b513 + 1924*b387*b514 + 156*
    b387*b515 + 338*b387*b516 + 1430*b387*b517 + 2262*b387*b518 + 208*b387*b520
     + 1326*b387*b521 + 26*b387*b522 + 2366*b387*b523 + 2262*b387*b524 + 1872*
    b387*b525 + 1170*b387*b526 + 2496*b387*b527 + 182*b387*b528 + 2262*b387*
    b529 + 1768*b387*b530 + 144*b387*b531 + 936*b387*b532 + 792*b387*b533 + 12*
    b387*b534 + 78*b387*b535 + 66*b387*b536 + 756*b387*b537 + 4914*b387*b538 + 
    4158*b387*b539 + 900*b387*b540 + 5850*b387*b541 + 4950*b387*b542 + 828*b387
    *b543 + 5382*b387*b544 + 4554*b387*b545 + 552*b387*b546 + 3588*b387*b547 + 
    3036*b387*b548 + 1044*b387*b549 + 6786*b387*b550 + 5742*b387*b551 + 684*
    b387*b552 + 4446*b387*b553 + 3762*b387*b554 + 900*b387*b555 + 5850*b387*
    b556 + 4950*b387*b557 + 960*b387*b558 + 6240*b387*b559 + 5280*b387*b560 + 
    1104*b387*b561 + 7176*b387*b562 + 6072*b387*b563 + 840*b387*b564 + 5460*
    b387*b565 + 4620*b387*b566 + 420*b387*b567 + 2730*b387*b568 + 2310*b387*
    b569 + 324*b387*b570 + 2106*b387*b571 + 1782*b387*b572 + 276*b387*b573 + 
    1794*b387*b574 + 1518*b387*b575 + 480*b387*b576 + 3120*b387*b577 + 2640*
    b387*b578 + 1092*b387*b582 + 7098*b387*b583 + 6006*b387*b584 + 888*b387*
    b585 + 5772*b387*b586 + 4884*b387*b587 + 984*b387*b588 + 6396*b387*b589 + 
    5412*b387*b590 + 1152*b387*b591 + 7488*b387*b592 + 6336*b387*b593 + 24*b387
    *b594 + 156*b387*b595 + 132*b387*b596 + 156*b387*b597 + 1014*b387*b598 + 
    858*b387*b599 + 2220*b387*b600 + 4514*b387*b601 + 5476*b387*b602 + 5698*
    b387*b603 + 5476*b387*b604 + 444*b387*b605 + 962*b387*b606 + 4070*b387*b607
     + 6438*b387*b608 + 592*b387*b610 + 3774*b387*b611 + 74*b387*b612 + 6734*
    b387*b613 + 2886*b387*b614 + 6438*b387*b615 + 5328*b387*b616 + 3330*b387*
    b617 + 7104*b387*b618 + 518*b387*b619 + 6438*b387*b620 + 5032*b387*b621 + 
    2442*b387*b622 + 3330*b387*b623 + 312*b387*b624 + 2028*b387*b625 + 1716*
    b387*b626 + 16562*b388*b399 + 16198*b388*b400 + 14560*b388*b401 + 8190*b388
    *b402 + 5824*b388*b403 + 8372*b388*b404 + 10738*b388*b406 + 3458*b388*b407
     + 10556*b388*b408 + 1456*b388*b409 + 546*b388*b411 + 3822*b388*b412 + 
    16380*b388*b413 + 8554*b388*b414 + 4550*b388*b415 + 5460*b388*b416 + 7826*
    b388*b417 + 17654*b388*b418 + 6006*b388*b419 + 6370*b388*b420 + 13468*b388*
    b421 + 13172*b388*b422 + 11840*b388*b423 + 6660*b388*b424 + 4736*b388*b425
     + 6808*b388*b426 + 8732*b388*b428 + 2812*b388*b429 + 8584*b388*b430 + 1184
    *b388*b431 + 444*b388*b433 + 3108*b388*b434 + 13320*b388*b435 + 6956*b388*
    b436 + 3700*b388*b437 + 4440*b388*b438 + 6364*b388*b439 + 14356*b388*b440
     + 4884*b388*b441 + 5180*b388*b442 + 14924*b388*b443 + 14596*b388*b444 + 
    13120*b388*b445 + 7380*b388*b446 + 5248*b388*b447 + 7544*b388*b448 + 9676*
    b388*b450 + 3116*b388*b451 + 9512*b388*b452 + 1312*b388*b453 + 492*b388*
    b455 + 3444*b388*b456 + 14760*b388*b457 + 7708*b388*b458 + 4100*b388*b459
     + 4920*b388*b460 + 7052*b388*b461 + 15908*b388*b462 + 5412*b388*b463 + 
    5740*b388*b464 + 17472*b388*b465 + 17088*b388*b466 + 15360*b388*b467 + 8640
    *b388*b468 + 6144*b388*b469 + 8832*b388*b470 + 11328*b388*b472 + 3648*b388*
    b473 + 11136*b388*b474 + 1536*b388*b475 + 576*b388*b477 + 4032*b388*b478 + 
    17280*b388*b479 + 9024*b388*b480 + 4800*b388*b481 + 5760*b388*b482 + 8256*
    b388*b483 + 18624*b388*b484 + 6336*b388*b485 + 6720*b388*b486 + 364*b388*
    b487 + 356*b388*b488 + 320*b388*b489 + 180*b388*b490 + 128*b388*b491 + 184*
    b388*b492 + 236*b388*b494 + 76*b388*b495 + 232*b388*b496 + 32*b388*b497 + 
    12*b388*b499 + 84*b388*b500 + 360*b388*b501 + 188*b388*b502 + 100*b388*b503
     + 120*b388*b504 + 172*b388*b505 + 388*b388*b506 + 132*b388*b507 + 140*b388
    *b508 + 2366*b388*b509 + 2314*b388*b510 + 2080*b388*b511 + 1170*b388*b512
     + 832*b388*b513 + 1196*b388*b514 + 1534*b388*b516 + 494*b388*b517 + 1508*
    b388*b518 + 208*b388*b519 + 78*b388*b521 + 546*b388*b522 + 2340*b388*b523
     + 1222*b388*b524 + 650*b388*b525 + 780*b388*b526 + 1118*b388*b527 + 2522*
    b388*b528 + 858*b388*b529 + 910*b388*b530 + 1056*b388*b531 + 1080*b388*b532
     + 1464*b388*b533 + 88*b388*b534 + 90*b388*b535 + 122*b388*b536 + 5544*b388
    *b537 + 5670*b388*b538 + 7686*b388*b539 + 6600*b388*b540 + 6750*b388*b541
     + 9150*b388*b542 + 6072*b388*b543 + 6210*b388*b544 + 8418*b388*b545 + 4048
    *b388*b546 + 4140*b388*b547 + 5612*b388*b548 + 7656*b388*b549 + 7830*b388*
    b550 + 10614*b388*b551 + 5016*b388*b552 + 5130*b388*b553 + 6954*b388*b554
     + 6600*b388*b555 + 6750*b388*b556 + 9150*b388*b557 + 7040*b388*b558 + 7200
    *b388*b559 + 9760*b388*b560 + 8096*b388*b561 + 8280*b388*b562 + 11224*b388*
    b563 + 6160*b388*b564 + 6300*b388*b565 + 8540*b388*b566 + 3080*b388*b567 + 
    3150*b388*b568 + 4270*b388*b569 + 2376*b388*b570 + 2430*b388*b571 + 3294*
    b388*b572 + 2024*b388*b573 + 2070*b388*b574 + 2806*b388*b575 + 3520*b388*
    b576 + 3600*b388*b577 + 4880*b388*b578 + 8008*b388*b582 + 8190*b388*b583 + 
    11102*b388*b584 + 6512*b388*b585 + 6660*b388*b586 + 9028*b388*b587 + 7216*
    b388*b588 + 7380*b388*b589 + 10004*b388*b590 + 8448*b388*b591 + 8640*b388*
    b592 + 11712*b388*b593 + 176*b388*b594 + 180*b388*b595 + 244*b388*b596 + 
    1144*b388*b597 + 1170*b388*b598 + 1586*b388*b599 + 6586*b388*b600 + 5920*
    b388*b601 + 3330*b388*b602 + 2368*b388*b603 + 3404*b388*b604 + 4366*b388*
    b606 + 1406*b388*b607 + 4292*b388*b608 + 592*b388*b609 + 222*b388*b611 + 
    1554*b388*b612 + 6660*b388*b613 + 3330*b388*b614 + 3478*b388*b615 + 1850*
    b388*b616 + 2220*b388*b617 + 3182*b388*b618 + 7178*b388*b619 + 2442*b388*
    b620 + 2590*b388*b621 + 4514*b388*b622 + 6734*b388*b623 + 2288*b388*b624 + 
    2340*b388*b625 + 3172*b388*b626 + 10738*b389*b399 + 13832*b389*b400 + 10556
    *b389*b401 + 11830*b389*b402 + 15834*b389*b403 + 2366*b389*b404 + 11284*
    b389*b405 + 8918*b389*b406 + 15470*b389*b407 + 3094*b389*b408 + 9282*b389*
    b409 + 546*b389*b410 + 7644*b389*b412 + 6552*b389*b413 + 1274*b389*b414 + 
    15288*b389*b415 + 1092*b389*b416 + 8736*b389*b419 + 11284*b389*b420 + 8732*
    b389*b421 + 11248*b389*b422 + 8584*b389*b423 + 9620*b389*b424 + 12876*b389*
    b425 + 1924*b389*b426 + 9176*b389*b427 + 7252*b389*b428 + 12580*b389*b429
     + 2516*b389*b430 + 7548*b389*b431 + 444*b389*b432 + 6216*b389*b434 + 5328*
    b389*b435 + 1036*b389*b436 + 12432*b389*b437 + 888*b389*b438 + 7104*b389*
    b441 + 9176*b389*b442 + 9676*b389*b443 + 12464*b389*b444 + 9512*b389*b445
     + 10660*b389*b446 + 14268*b389*b447 + 2132*b389*b448 + 10168*b389*b449 + 
    8036*b389*b450 + 13940*b389*b451 + 2788*b389*b452 + 8364*b389*b453 + 492*
    b389*b454 + 6888*b389*b456 + 5904*b389*b457 + 1148*b389*b458 + 13776*b389*
    b459 + 984*b389*b460 + 7872*b389*b463 + 10168*b389*b464 + 11328*b389*b465
     + 14592*b389*b466 + 11136*b389*b467 + 12480*b389*b468 + 16704*b389*b469 + 
    2496*b389*b470 + 11904*b389*b471 + 9408*b389*b472 + 16320*b389*b473 + 3264*
    b389*b474 + 9792*b389*b475 + 576*b389*b476 + 8064*b389*b478 + 6912*b389*
    b479 + 1344*b389*b480 + 16128*b389*b481 + 1152*b389*b482 + 9216*b389*b485
     + 11904*b389*b486 + 236*b389*b487 + 304*b389*b488 + 232*b389*b489 + 260*
    b389*b490 + 348*b389*b491 + 52*b389*b492 + 248*b389*b493 + 196*b389*b494 + 
    340*b389*b495 + 68*b389*b496 + 204*b389*b497 + 12*b389*b498 + 168*b389*b500
     + 144*b389*b501 + 28*b389*b502 + 336*b389*b503 + 24*b389*b504 + 192*b389*
    b507 + 248*b389*b508 + 1534*b389*b509 + 1976*b389*b510 + 1508*b389*b511 + 
    1690*b389*b512 + 2262*b389*b513 + 338*b389*b514 + 1612*b389*b515 + 1274*
    b389*b516 + 2210*b389*b517 + 442*b389*b518 + 1326*b389*b519 + 78*b389*b520
     + 1092*b389*b522 + 936*b389*b523 + 182*b389*b524 + 2184*b389*b525 + 156*
    b389*b526 + 1248*b389*b529 + 1612*b389*b530 + 960*b389*b531 + 1032*b389*
    b532 + 1416*b389*b533 + 80*b389*b534 + 86*b389*b535 + 118*b389*b536 + 5040*
    b389*b537 + 5418*b389*b538 + 7434*b389*b539 + 6000*b389*b540 + 6450*b389*
    b541 + 8850*b389*b542 + 5520*b389*b543 + 5934*b389*b544 + 8142*b389*b545 + 
    3680*b389*b546 + 3956*b389*b547 + 5428*b389*b548 + 6960*b389*b549 + 7482*
    b389*b550 + 10266*b389*b551 + 4560*b389*b552 + 4902*b389*b553 + 6726*b389*
    b554 + 6000*b389*b555 + 6450*b389*b556 + 8850*b389*b557 + 6400*b389*b558 + 
    6880*b389*b559 + 9440*b389*b560 + 7360*b389*b561 + 7912*b389*b562 + 10856*
    b389*b563 + 5600*b389*b564 + 6020*b389*b565 + 8260*b389*b566 + 2800*b389*
    b567 + 3010*b389*b568 + 4130*b389*b569 + 2160*b389*b570 + 2322*b389*b571 + 
    3186*b389*b572 + 1840*b389*b573 + 1978*b389*b574 + 2714*b389*b575 + 3200*
    b389*b576 + 3440*b389*b577 + 4720*b389*b578 + 7280*b389*b582 + 7826*b389*
    b583 + 10738*b389*b584 + 5920*b389*b585 + 6364*b389*b586 + 8732*b389*b587
     + 6560*b389*b588 + 7052*b389*b589 + 9676*b389*b590 + 7680*b389*b591 + 8256
    *b389*b592 + 11328*b389*b593 + 160*b389*b594 + 172*b389*b595 + 236*b389*
    b596 + 1040*b389*b597 + 1118*b389*b598 + 1534*b389*b599 + 5624*b389*b600 + 
    4292*b389*b601 + 4810*b389*b602 + 6438*b389*b603 + 962*b389*b604 + 4588*
    b389*b605 + 3626*b389*b606 + 6290*b389*b607 + 1258*b389*b608 + 3774*b389*
    b609 + 222*b389*b610 + 3108*b389*b612 + 2664*b389*b613 + 3182*b389*b614 + 
    518*b389*b615 + 6216*b389*b616 + 444*b389*b617 + 3552*b389*b620 + 4588*b389
    *b621 + 4366*b389*b622 + 4366*b389*b623 + 2080*b389*b624 + 2236*b389*b625
     + 3068*b389*b626 + 3276*b390*b399 + 13832*b390*b400 + 3822*b390*b401 + 
    7280*b390*b402 + 12194*b390*b403 + 3640*b390*b404 + 7462*b390*b405 + 15470*
    b390*b406 + 9464*b390*b407 + 12376*b390*b408 + 182*b390*b409 + 3822*b390*
    b410 + 7644*b390*b411 + 5278*b390*b413 + 14924*b390*b414 + 5278*b390*b415
     + 546*b390*b416 + 546*b390*b417 + 9282*b390*b418 + 12194*b390*b419 + 7098*
    b390*b420 + 2664*b390*b421 + 11248*b390*b422 + 3108*b390*b423 + 5920*b390*
    b424 + 9916*b390*b425 + 2960*b390*b426 + 6068*b390*b427 + 12580*b390*b428
     + 7696*b390*b429 + 10064*b390*b430 + 148*b390*b431 + 3108*b390*b432 + 6216
    *b390*b433 + 4292*b390*b435 + 12136*b390*b436 + 4292*b390*b437 + 444*b390*
    b438 + 444*b390*b439 + 7548*b390*b440 + 9916*b390*b441 + 5772*b390*b442 + 
    2952*b390*b443 + 12464*b390*b444 + 3444*b390*b445 + 6560*b390*b446 + 10988*
    b390*b447 + 3280*b390*b448 + 6724*b390*b449 + 13940*b390*b450 + 8528*b390*
    b451 + 11152*b390*b452 + 164*b390*b453 + 3444*b390*b454 + 6888*b390*b455 + 
    4756*b390*b457 + 13448*b390*b458 + 4756*b390*b459 + 492*b390*b460 + 492*
    b390*b461 + 8364*b390*b462 + 10988*b390*b463 + 6396*b390*b464 + 3456*b390*
    b465 + 14592*b390*b466 + 4032*b390*b467 + 7680*b390*b468 + 12864*b390*b469
     + 3840*b390*b470 + 7872*b390*b471 + 16320*b390*b472 + 9984*b390*b473 + 
    13056*b390*b474 + 192*b390*b475 + 4032*b390*b476 + 8064*b390*b477 + 5568*
    b390*b479 + 15744*b390*b480 + 5568*b390*b481 + 576*b390*b482 + 576*b390*
    b483 + 9792*b390*b484 + 12864*b390*b485 + 7488*b390*b486 + 72*b390*b487 + 
    304*b390*b488 + 84*b390*b489 + 160*b390*b490 + 268*b390*b491 + 80*b390*b492
     + 164*b390*b493 + 340*b390*b494 + 208*b390*b495 + 272*b390*b496 + 4*b390*
    b497 + 84*b390*b498 + 168*b390*b499 + 116*b390*b501 + 328*b390*b502 + 116*
    b390*b503 + 12*b390*b504 + 12*b390*b505 + 204*b390*b506 + 268*b390*b507 + 
    156*b390*b508 + 468*b390*b509 + 1976*b390*b510 + 546*b390*b511 + 1040*b390*
    b512 + 1742*b390*b513 + 520*b390*b514 + 1066*b390*b515 + 2210*b390*b516 + 
    1352*b390*b517 + 1768*b390*b518 + 26*b390*b519 + 546*b390*b520 + 1092*b390*
    b521 + 754*b390*b523 + 2132*b390*b524 + 754*b390*b525 + 78*b390*b526 + 78*
    b390*b527 + 1326*b390*b528 + 1742*b390*b529 + 1014*b390*b530 + 1800*b390*
    b531 + 2256*b390*b532 + 360*b390*b533 + 150*b390*b534 + 188*b390*b535 + 30*
    b390*b536 + 9450*b390*b537 + 11844*b390*b538 + 1890*b390*b539 + 11250*b390*
    b540 + 14100*b390*b541 + 2250*b390*b542 + 10350*b390*b543 + 12972*b390*b544
     + 2070*b390*b545 + 6900*b390*b546 + 8648*b390*b547 + 1380*b390*b548 + 
    13050*b390*b549 + 16356*b390*b550 + 2610*b390*b551 + 8550*b390*b552 + 10716
    *b390*b553 + 1710*b390*b554 + 11250*b390*b555 + 14100*b390*b556 + 2250*b390
    *b557 + 12000*b390*b558 + 15040*b390*b559 + 2400*b390*b560 + 13800*b390*
    b561 + 17296*b390*b562 + 2760*b390*b563 + 10500*b390*b564 + 13160*b390*b565
     + 2100*b390*b566 + 5250*b390*b567 + 6580*b390*b568 + 1050*b390*b569 + 4050
    *b390*b570 + 5076*b390*b571 + 810*b390*b572 + 3450*b390*b573 + 4324*b390*
    b574 + 690*b390*b575 + 6000*b390*b576 + 7520*b390*b577 + 1200*b390*b578 + 
    13650*b390*b582 + 17108*b390*b583 + 2730*b390*b584 + 11100*b390*b585 + 
    13912*b390*b586 + 2220*b390*b587 + 12300*b390*b588 + 15416*b390*b589 + 2460
    *b390*b590 + 14400*b390*b591 + 18048*b390*b592 + 2880*b390*b593 + 300*b390*
    b594 + 376*b390*b595 + 60*b390*b596 + 1950*b390*b597 + 2444*b390*b598 + 390
    *b390*b599 + 5624*b390*b600 + 1554*b390*b601 + 2960*b390*b602 + 4958*b390*
    b603 + 1480*b390*b604 + 3034*b390*b605 + 6290*b390*b606 + 3848*b390*b607 + 
    5032*b390*b608 + 74*b390*b609 + 1554*b390*b610 + 3108*b390*b611 + 2146*b390
    *b613 + 6956*b390*b614 + 6068*b390*b615 + 2146*b390*b616 + 222*b390*b617 + 
    222*b390*b618 + 3774*b390*b619 + 4958*b390*b620 + 2886*b390*b621 + 1110*
    b390*b622 + 1332*b390*b623 + 3900*b390*b624 + 4888*b390*b625 + 780*b390*
    b626 + 13832*b391*b399 + 7280*b391*b400 + 13832*b391*b401 + 9828*b391*b402
     + 17108*b391*b403 + 15652*b391*b404 + 11284*b391*b405 + 15288*b391*b406 + 
    6188*b391*b407 + 4914*b391*b408 + 16562*b391*b409 + 16380*b391*b410 + 6552*
    b391*b411 + 5278*b391*b412 + 7644*b391*b414 + 4186*b391*b415 + 11284*b391*
    b416 + 11284*b391*b417 + 5096*b391*b418 + 13832*b391*b419 + 12012*b391*b420
     + 11248*b391*b421 + 5920*b391*b422 + 11248*b391*b423 + 7992*b391*b424 + 
    13912*b391*b425 + 12728*b391*b426 + 9176*b391*b427 + 12432*b391*b428 + 5032
    *b391*b429 + 3996*b391*b430 + 13468*b391*b431 + 13320*b391*b432 + 5328*b391
    *b433 + 4292*b391*b434 + 6216*b391*b436 + 3404*b391*b437 + 9176*b391*b438
     + 9176*b391*b439 + 4144*b391*b440 + 11248*b391*b441 + 9768*b391*b442 + 
    12464*b391*b443 + 6560*b391*b444 + 12464*b391*b445 + 8856*b391*b446 + 15416
    *b391*b447 + 14104*b391*b448 + 10168*b391*b449 + 13776*b391*b450 + 5576*
    b391*b451 + 4428*b391*b452 + 14924*b391*b453 + 14760*b391*b454 + 5904*b391*
    b455 + 4756*b391*b456 + 6888*b391*b458 + 3772*b391*b459 + 10168*b391*b460
     + 10168*b391*b461 + 4592*b391*b462 + 12464*b391*b463 + 10824*b391*b464 + 
    14592*b391*b465 + 7680*b391*b466 + 14592*b391*b467 + 10368*b391*b468 + 
    18048*b391*b469 + 16512*b391*b470 + 11904*b391*b471 + 16128*b391*b472 + 
    6528*b391*b473 + 5184*b391*b474 + 17472*b391*b475 + 17280*b391*b476 + 6912*
    b391*b477 + 5568*b391*b478 + 8064*b391*b480 + 4416*b391*b481 + 11904*b391*
    b482 + 11904*b391*b483 + 5376*b391*b484 + 14592*b391*b485 + 12672*b391*b486
     + 304*b391*b487 + 160*b391*b488 + 304*b391*b489 + 216*b391*b490 + 376*b391
    *b491 + 344*b391*b492 + 248*b391*b493 + 336*b391*b494 + 136*b391*b495 + 108
    *b391*b496 + 364*b391*b497 + 360*b391*b498 + 144*b391*b499 + 116*b391*b500
     + 168*b391*b502 + 92*b391*b503 + 248*b391*b504 + 248*b391*b505 + 112*b391*
    b506 + 304*b391*b507 + 264*b391*b508 + 1976*b391*b509 + 1040*b391*b510 + 
    1976*b391*b511 + 1404*b391*b512 + 2444*b391*b513 + 2236*b391*b514 + 1612*
    b391*b515 + 2184*b391*b516 + 884*b391*b517 + 702*b391*b518 + 2366*b391*b519
     + 2340*b391*b520 + 936*b391*b521 + 754*b391*b522 + 1092*b391*b524 + 598*
    b391*b525 + 1612*b391*b526 + 1612*b391*b527 + 728*b391*b528 + 1976*b391*
    b529 + 1716*b391*b530 + 1896*b391*b531 + 1584*b391*b532 + 1968*b391*b533 + 
    158*b391*b534 + 132*b391*b535 + 164*b391*b536 + 9954*b391*b537 + 8316*b391*
    b538 + 10332*b391*b539 + 11850*b391*b540 + 9900*b391*b541 + 12300*b391*b542
     + 10902*b391*b543 + 9108*b391*b544 + 11316*b391*b545 + 7268*b391*b546 + 
    6072*b391*b547 + 7544*b391*b548 + 13746*b391*b549 + 11484*b391*b550 + 14268
    *b391*b551 + 9006*b391*b552 + 7524*b391*b553 + 9348*b391*b554 + 11850*b391*
    b555 + 9900*b391*b556 + 12300*b391*b557 + 12640*b391*b558 + 10560*b391*b559
     + 13120*b391*b560 + 14536*b391*b561 + 12144*b391*b562 + 15088*b391*b563 + 
    11060*b391*b564 + 9240*b391*b565 + 11480*b391*b566 + 5530*b391*b567 + 4620*
    b391*b568 + 5740*b391*b569 + 4266*b391*b570 + 3564*b391*b571 + 4428*b391*
    b572 + 3634*b391*b573 + 3036*b391*b574 + 3772*b391*b575 + 6320*b391*b576 + 
    5280*b391*b577 + 6560*b391*b578 + 14378*b391*b582 + 12012*b391*b583 + 14924
    *b391*b584 + 11692*b391*b585 + 9768*b391*b586 + 12136*b391*b587 + 12956*
    b391*b588 + 10824*b391*b589 + 13448*b391*b590 + 15168*b391*b591 + 12672*
    b391*b592 + 15744*b391*b593 + 316*b391*b594 + 264*b391*b595 + 328*b391*b596
     + 2054*b391*b597 + 1716*b391*b598 + 2132*b391*b599 + 2960*b391*b600 + 5624
    *b391*b601 + 3996*b391*b602 + 6956*b391*b603 + 6364*b391*b604 + 4588*b391*
    b605 + 6216*b391*b606 + 2516*b391*b607 + 1998*b391*b608 + 6734*b391*b609 + 
    6660*b391*b610 + 2664*b391*b611 + 2146*b391*b612 + 4884*b391*b614 + 3108*
    b391*b615 + 1702*b391*b616 + 4588*b391*b617 + 4588*b391*b618 + 2072*b391*
    b619 + 5624*b391*b620 + 4884*b391*b621 + 6068*b391*b622 + 5624*b391*b623 + 
    4108*b391*b624 + 3432*b391*b625 + 4264*b391*b626 + 3276*b392*b399 + 10192*
    b392*b400 + 8008*b392*b401 + 2548*b392*b402 + 364*b392*b403 + 14014*b392*
    b404 + 4550*b392*b405 + 6916*b392*b406 + 7280*b392*b407 + 1092*b392*b408 + 
    15834*b392*b409 + 8554*b392*b410 + 1274*b392*b411 + 14924*b392*b412 + 7644*
    b392*b413 + 15652*b392*b415 + 10920*b392*b416 + 11284*b392*b417 + 11284*
    b392*b418 + 15106*b392*b419 + 16562*b392*b420 + 2664*b392*b421 + 8288*b392*
    b422 + 6512*b392*b423 + 2072*b392*b424 + 296*b392*b425 + 11396*b392*b426 + 
    3700*b392*b427 + 5624*b392*b428 + 5920*b392*b429 + 888*b392*b430 + 12876*
    b392*b431 + 6956*b392*b432 + 1036*b392*b433 + 12136*b392*b434 + 6216*b392*
    b435 + 12728*b392*b437 + 8880*b392*b438 + 9176*b392*b439 + 9176*b392*b440
     + 12284*b392*b441 + 13468*b392*b442 + 2952*b392*b443 + 9184*b392*b444 + 
    7216*b392*b445 + 2296*b392*b446 + 328*b392*b447 + 12628*b392*b448 + 4100*
    b392*b449 + 6232*b392*b450 + 6560*b392*b451 + 984*b392*b452 + 14268*b392*
    b453 + 7708*b392*b454 + 1148*b392*b455 + 13448*b392*b456 + 6888*b392*b457
     + 14104*b392*b459 + 9840*b392*b460 + 10168*b392*b461 + 10168*b392*b462 + 
    13612*b392*b463 + 14924*b392*b464 + 3456*b392*b465 + 10752*b392*b466 + 8448
    *b392*b467 + 2688*b392*b468 + 384*b392*b469 + 14784*b392*b470 + 4800*b392*
    b471 + 7296*b392*b472 + 7680*b392*b473 + 1152*b392*b474 + 16704*b392*b475
     + 9024*b392*b476 + 1344*b392*b477 + 15744*b392*b478 + 8064*b392*b479 + 
    16512*b392*b481 + 11520*b392*b482 + 11904*b392*b483 + 11904*b392*b484 + 
    15936*b392*b485 + 17472*b392*b486 + 72*b392*b487 + 224*b392*b488 + 176*b392
    *b489 + 56*b392*b490 + 8*b392*b491 + 308*b392*b492 + 100*b392*b493 + 152*
    b392*b494 + 160*b392*b495 + 24*b392*b496 + 348*b392*b497 + 188*b392*b498 + 
    28*b392*b499 + 328*b392*b500 + 168*b392*b501 + 344*b392*b503 + 240*b392*
    b504 + 248*b392*b505 + 248*b392*b506 + 332*b392*b507 + 364*b392*b508 + 468*
    b392*b509 + 1456*b392*b510 + 1144*b392*b511 + 364*b392*b512 + 52*b392*b513
     + 2002*b392*b514 + 650*b392*b515 + 988*b392*b516 + 1040*b392*b517 + 156*
    b392*b518 + 2262*b392*b519 + 1222*b392*b520 + 182*b392*b521 + 2132*b392*
    b522 + 1092*b392*b523 + 2236*b392*b525 + 1560*b392*b526 + 1612*b392*b527 + 
    1612*b392*b528 + 2158*b392*b529 + 2366*b392*b530 + 2136*b392*b531 + 2352*
    b392*b532 + 1368*b392*b533 + 178*b392*b534 + 196*b392*b535 + 114*b392*b536
     + 11214*b392*b537 + 12348*b392*b538 + 7182*b392*b539 + 13350*b392*b540 + 
    14700*b392*b541 + 8550*b392*b542 + 12282*b392*b543 + 13524*b392*b544 + 7866
    *b392*b545 + 8188*b392*b546 + 9016*b392*b547 + 5244*b392*b548 + 15486*b392*
    b549 + 17052*b392*b550 + 9918*b392*b551 + 10146*b392*b552 + 11172*b392*b553
     + 6498*b392*b554 + 13350*b392*b555 + 14700*b392*b556 + 8550*b392*b557 + 
    14240*b392*b558 + 15680*b392*b559 + 9120*b392*b560 + 16376*b392*b561 + 
    18032*b392*b562 + 10488*b392*b563 + 12460*b392*b564 + 13720*b392*b565 + 
    7980*b392*b566 + 6230*b392*b567 + 6860*b392*b568 + 3990*b392*b569 + 4806*
    b392*b570 + 5292*b392*b571 + 3078*b392*b572 + 4094*b392*b573 + 4508*b392*
    b574 + 2622*b392*b575 + 7120*b392*b576 + 7840*b392*b577 + 4560*b392*b578 + 
    16198*b392*b582 + 17836*b392*b583 + 10374*b392*b584 + 13172*b392*b585 + 
    14504*b392*b586 + 8436*b392*b587 + 14596*b392*b588 + 16072*b392*b589 + 9348
    *b392*b590 + 17088*b392*b591 + 18816*b392*b592 + 10944*b392*b593 + 356*b392
    *b594 + 392*b392*b595 + 228*b392*b596 + 2314*b392*b597 + 2548*b392*b598 + 
    1482*b392*b599 + 4144*b392*b600 + 3256*b392*b601 + 1036*b392*b602 + 148*
    b392*b603 + 5698*b392*b604 + 1850*b392*b605 + 2812*b392*b606 + 2960*b392*
    b607 + 444*b392*b608 + 6438*b392*b609 + 3478*b392*b610 + 518*b392*b611 + 
    6068*b392*b612 + 3108*b392*b613 + 7252*b392*b614 + 6364*b392*b616 + 4440*
    b392*b617 + 4588*b392*b618 + 4588*b392*b619 + 6142*b392*b620 + 6734*b392*
    b621 + 4218*b392*b622 + 1332*b392*b623 + 4628*b392*b624 + 5096*b392*b625 + 
    2964*b392*b626 + 10374*b393*b399 + 182*b393*b400 + 15470*b393*b401 + 12922*
    b393*b402 + 1820*b393*b403 + 2730*b393*b404 + 13650*b393*b405 + 7462*b393*
    b406 + 12558*b393*b407 + 12194*b393*b408 + 13104*b393*b409 + 4550*b393*b410
     + 15288*b393*b411 + 5278*b393*b412 + 4186*b393*b413 + 15652*b393*b414 + 
    11284*b393*b416 + 6552*b393*b417 + 364*b393*b418 + 364*b393*b419 + 7826*
    b393*b420 + 8436*b393*b421 + 148*b393*b422 + 12580*b393*b423 + 10508*b393*
    b424 + 1480*b393*b425 + 2220*b393*b426 + 11100*b393*b427 + 6068*b393*b428
     + 10212*b393*b429 + 9916*b393*b430 + 10656*b393*b431 + 3700*b393*b432 + 
    12432*b393*b433 + 4292*b393*b434 + 3404*b393*b435 + 12728*b393*b436 + 9176*
    b393*b438 + 5328*b393*b439 + 296*b393*b440 + 296*b393*b441 + 6364*b393*b442
     + 9348*b393*b443 + 164*b393*b444 + 13940*b393*b445 + 11644*b393*b446 + 
    1640*b393*b447 + 2460*b393*b448 + 12300*b393*b449 + 6724*b393*b450 + 11316*
    b393*b451 + 10988*b393*b452 + 11808*b393*b453 + 4100*b393*b454 + 13776*b393
    *b455 + 4756*b393*b456 + 3772*b393*b457 + 14104*b393*b458 + 10168*b393*b460
     + 5904*b393*b461 + 328*b393*b462 + 328*b393*b463 + 7052*b393*b464 + 10944*
    b393*b465 + 192*b393*b466 + 16320*b393*b467 + 13632*b393*b468 + 1920*b393*
    b469 + 2880*b393*b470 + 14400*b393*b471 + 7872*b393*b472 + 13248*b393*b473
     + 12864*b393*b474 + 13824*b393*b475 + 4800*b393*b476 + 16128*b393*b477 + 
    5568*b393*b478 + 4416*b393*b479 + 16512*b393*b480 + 11904*b393*b482 + 6912*
    b393*b483 + 384*b393*b484 + 384*b393*b485 + 8256*b393*b486 + 228*b393*b487
     + 4*b393*b488 + 340*b393*b489 + 284*b393*b490 + 40*b393*b491 + 60*b393*
    b492 + 300*b393*b493 + 164*b393*b494 + 276*b393*b495 + 268*b393*b496 + 288*
    b393*b497 + 100*b393*b498 + 336*b393*b499 + 116*b393*b500 + 92*b393*b501 + 
    344*b393*b502 + 248*b393*b504 + 144*b393*b505 + 8*b393*b506 + 8*b393*b507
     + 172*b393*b508 + 1482*b393*b509 + 26*b393*b510 + 2210*b393*b511 + 1846*
    b393*b512 + 260*b393*b513 + 390*b393*b514 + 1950*b393*b515 + 1066*b393*b516
     + 1794*b393*b517 + 1742*b393*b518 + 1872*b393*b519 + 650*b393*b520 + 2184*
    b393*b521 + 754*b393*b522 + 598*b393*b523 + 2236*b393*b524 + 1612*b393*b526
     + 936*b393*b527 + 52*b393*b528 + 52*b393*b529 + 1118*b393*b530 + 840*b393*
    b531 + 840*b393*b532 + 1560*b393*b533 + 70*b393*b534 + 70*b393*b535 + 130*
    b393*b536 + 4410*b393*b537 + 4410*b393*b538 + 8190*b393*b539 + 5250*b393*
    b540 + 5250*b393*b541 + 9750*b393*b542 + 4830*b393*b543 + 4830*b393*b544 + 
    8970*b393*b545 + 3220*b393*b546 + 3220*b393*b547 + 5980*b393*b548 + 6090*
    b393*b549 + 6090*b393*b550 + 11310*b393*b551 + 3990*b393*b552 + 3990*b393*
    b553 + 7410*b393*b554 + 5250*b393*b555 + 5250*b393*b556 + 9750*b393*b557 + 
    5600*b393*b558 + 5600*b393*b559 + 10400*b393*b560 + 6440*b393*b561 + 6440*
    b393*b562 + 11960*b393*b563 + 4900*b393*b564 + 4900*b393*b565 + 9100*b393*
    b566 + 2450*b393*b567 + 2450*b393*b568 + 4550*b393*b569 + 1890*b393*b570 + 
    1890*b393*b571 + 3510*b393*b572 + 1610*b393*b573 + 1610*b393*b574 + 2990*
    b393*b575 + 2800*b393*b576 + 2800*b393*b577 + 5200*b393*b578 + 6370*b393*
    b582 + 6370*b393*b583 + 11830*b393*b584 + 5180*b393*b585 + 5180*b393*b586
     + 9620*b393*b587 + 5740*b393*b588 + 5740*b393*b589 + 10660*b393*b590 + 
    6720*b393*b591 + 6720*b393*b592 + 12480*b393*b593 + 140*b393*b594 + 140*
    b393*b595 + 260*b393*b596 + 910*b393*b597 + 910*b393*b598 + 1690*b393*b599
     + 74*b393*b600 + 6290*b393*b601 + 5254*b393*b602 + 740*b393*b603 + 1110*
    b393*b604 + 5550*b393*b605 + 3034*b393*b606 + 5106*b393*b607 + 4958*b393*
    b608 + 5328*b393*b609 + 1850*b393*b610 + 6216*b393*b611 + 2146*b393*b612 + 
    1702*b393*b613 + 2590*b393*b614 + 6364*b393*b615 + 4588*b393*b617 + 2664*
    b393*b618 + 148*b393*b619 + 148*b393*b620 + 3182*b393*b621 + 4810*b393*b622
     + 4218*b393*b623 + 1820*b393*b624 + 1820*b393*b625 + 3380*b393*b626 + 6552
    *b394*b399 + 9100*b394*b400 + 17108*b394*b401 + 14014*b394*b402 + 18018*
    b394*b403 + 16198*b394*b404 + 13832*b394*b405 + 10192*b394*b406 + 2184*b394
    *b407 + 4732*b394*b408 + 8190*b394*b409 + 5460*b394*b410 + 1092*b394*b411
     + 546*b394*b412 + 11284*b394*b413 + 10920*b394*b414 + 11284*b394*b415 + 
    6734*b394*b417 + 8918*b394*b418 + 11102*b394*b419 + 910*b394*b420 + 5328*
    b394*b421 + 7400*b394*b422 + 13912*b394*b423 + 11396*b394*b424 + 14652*b394
    *b425 + 13172*b394*b426 + 11248*b394*b427 + 8288*b394*b428 + 1776*b394*b429
     + 3848*b394*b430 + 6660*b394*b431 + 4440*b394*b432 + 888*b394*b433 + 444*
    b394*b434 + 9176*b394*b435 + 8880*b394*b436 + 9176*b394*b437 + 5476*b394*
    b439 + 7252*b394*b440 + 9028*b394*b441 + 740*b394*b442 + 5904*b394*b443 + 
    8200*b394*b444 + 15416*b394*b445 + 12628*b394*b446 + 16236*b394*b447 + 
    14596*b394*b448 + 12464*b394*b449 + 9184*b394*b450 + 1968*b394*b451 + 4264*
    b394*b452 + 7380*b394*b453 + 4920*b394*b454 + 984*b394*b455 + 492*b394*b456
     + 10168*b394*b457 + 9840*b394*b458 + 10168*b394*b459 + 6068*b394*b461 + 
    8036*b394*b462 + 10004*b394*b463 + 820*b394*b464 + 6912*b394*b465 + 9600*
    b394*b466 + 18048*b394*b467 + 14784*b394*b468 + 19008*b394*b469 + 17088*
    b394*b470 + 14592*b394*b471 + 10752*b394*b472 + 2304*b394*b473 + 4992*b394*
    b474 + 8640*b394*b475 + 5760*b394*b476 + 1152*b394*b477 + 576*b394*b478 + 
    11904*b394*b479 + 11520*b394*b480 + 11904*b394*b481 + 7104*b394*b483 + 9408
    *b394*b484 + 11712*b394*b485 + 960*b394*b486 + 144*b394*b487 + 200*b394*
    b488 + 376*b394*b489 + 308*b394*b490 + 396*b394*b491 + 356*b394*b492 + 304*
    b394*b493 + 224*b394*b494 + 48*b394*b495 + 104*b394*b496 + 180*b394*b497 + 
    120*b394*b498 + 24*b394*b499 + 12*b394*b500 + 248*b394*b501 + 240*b394*b502
     + 248*b394*b503 + 148*b394*b505 + 196*b394*b506 + 244*b394*b507 + 20*b394*
    b508 + 936*b394*b509 + 1300*b394*b510 + 2444*b394*b511 + 2002*b394*b512 + 
    2574*b394*b513 + 2314*b394*b514 + 1976*b394*b515 + 1456*b394*b516 + 312*
    b394*b517 + 676*b394*b518 + 1170*b394*b519 + 780*b394*b520 + 156*b394*b521
     + 78*b394*b522 + 1612*b394*b523 + 1560*b394*b524 + 1612*b394*b525 + 962*
    b394*b527 + 1274*b394*b528 + 1586*b394*b529 + 130*b394*b530 + 216*b394*b531
     + 360*b394*b532 + 816*b394*b533 + 18*b394*b534 + 30*b394*b535 + 68*b394*
    b536 + 1134*b394*b537 + 1890*b394*b538 + 4284*b394*b539 + 1350*b394*b540 + 
    2250*b394*b541 + 5100*b394*b542 + 1242*b394*b543 + 2070*b394*b544 + 4692*
    b394*b545 + 828*b394*b546 + 1380*b394*b547 + 3128*b394*b548 + 1566*b394*
    b549 + 2610*b394*b550 + 5916*b394*b551 + 1026*b394*b552 + 1710*b394*b553 + 
    3876*b394*b554 + 1350*b394*b555 + 2250*b394*b556 + 5100*b394*b557 + 1440*
    b394*b558 + 2400*b394*b559 + 5440*b394*b560 + 1656*b394*b561 + 2760*b394*
    b562 + 6256*b394*b563 + 1260*b394*b564 + 2100*b394*b565 + 4760*b394*b566 + 
    630*b394*b567 + 1050*b394*b568 + 2380*b394*b569 + 486*b394*b570 + 810*b394*
    b571 + 1836*b394*b572 + 414*b394*b573 + 690*b394*b574 + 1564*b394*b575 + 
    720*b394*b576 + 1200*b394*b577 + 2720*b394*b578 + 1638*b394*b582 + 2730*
    b394*b583 + 6188*b394*b584 + 1332*b394*b585 + 2220*b394*b586 + 5032*b394*
    b587 + 1476*b394*b588 + 2460*b394*b589 + 5576*b394*b590 + 1728*b394*b591 + 
    2880*b394*b592 + 6528*b394*b593 + 36*b394*b594 + 60*b394*b595 + 136*b394*
    b596 + 234*b394*b597 + 390*b394*b598 + 884*b394*b599 + 3700*b394*b600 + 
    6956*b394*b601 + 5698*b394*b602 + 7326*b394*b603 + 6586*b394*b604 + 5624*
    b394*b605 + 4144*b394*b606 + 888*b394*b607 + 1924*b394*b608 + 3330*b394*
    b609 + 2220*b394*b610 + 444*b394*b611 + 222*b394*b612 + 4588*b394*b613 + 
    1110*b394*b614 + 4440*b394*b615 + 4588*b394*b616 + 2738*b394*b618 + 3626*
    b394*b619 + 4514*b394*b620 + 370*b394*b621 + 2516*b394*b622 + 2664*b394*
    b623 + 468*b394*b624 + 780*b394*b625 + 1768*b394*b626 + 11102*b395*b399 + 
    728*b395*b400 + 16380*b395*b401 + 6552*b395*b402 + 10192*b395*b403 + 8736*
    b395*b404 + 7280*b395*b405 + 7098*b395*b406 + 15470*b395*b407 + 14924*b395*
    b408 + 17472*b395*b409 + 7826*b395*b410 + 546*b395*b412 + 11284*b395*b413
     + 11284*b395*b414 + 6552*b395*b415 + 6734*b395*b416 + 9646*b395*b418 + 
    17472*b395*b419 + 14924*b395*b420 + 9028*b395*b421 + 592*b395*b422 + 13320*
    b395*b423 + 5328*b395*b424 + 8288*b395*b425 + 7104*b395*b426 + 5920*b395*
    b427 + 5772*b395*b428 + 12580*b395*b429 + 12136*b395*b430 + 14208*b395*b431
     + 6364*b395*b432 + 444*b395*b434 + 9176*b395*b435 + 9176*b395*b436 + 5328*
    b395*b437 + 5476*b395*b438 + 7844*b395*b440 + 14208*b395*b441 + 12136*b395*
    b442 + 10004*b395*b443 + 656*b395*b444 + 14760*b395*b445 + 5904*b395*b446
     + 9184*b395*b447 + 7872*b395*b448 + 6560*b395*b449 + 6396*b395*b450 + 
    13940*b395*b451 + 13448*b395*b452 + 15744*b395*b453 + 7052*b395*b454 + 492*
    b395*b456 + 10168*b395*b457 + 10168*b395*b458 + 5904*b395*b459 + 6068*b395*
    b460 + 8692*b395*b462 + 15744*b395*b463 + 13448*b395*b464 + 11712*b395*b465
     + 768*b395*b466 + 17280*b395*b467 + 6912*b395*b468 + 10752*b395*b469 + 
    9216*b395*b470 + 7680*b395*b471 + 7488*b395*b472 + 16320*b395*b473 + 15744*
    b395*b474 + 18432*b395*b475 + 8256*b395*b476 + 576*b395*b478 + 11904*b395*
    b479 + 11904*b395*b480 + 6912*b395*b481 + 7104*b395*b482 + 10176*b395*b484
     + 18432*b395*b485 + 15744*b395*b486 + 244*b395*b487 + 16*b395*b488 + 360*
    b395*b489 + 144*b395*b490 + 224*b395*b491 + 192*b395*b492 + 160*b395*b493
     + 156*b395*b494 + 340*b395*b495 + 328*b395*b496 + 384*b395*b497 + 172*b395
    *b498 + 12*b395*b500 + 248*b395*b501 + 248*b395*b502 + 144*b395*b503 + 148*
    b395*b504 + 212*b395*b506 + 384*b395*b507 + 328*b395*b508 + 1586*b395*b509
     + 104*b395*b510 + 2340*b395*b511 + 936*b395*b512 + 1456*b395*b513 + 1248*
    b395*b514 + 1040*b395*b515 + 1014*b395*b516 + 2210*b395*b517 + 2132*b395*
    b518 + 2496*b395*b519 + 1118*b395*b520 + 78*b395*b522 + 1612*b395*b523 + 
    1612*b395*b524 + 936*b395*b525 + 962*b395*b526 + 1378*b395*b528 + 2496*b395
    *b529 + 2132*b395*b530 + 24*b395*b531 + 408*b395*b532 + 1152*b395*b533 + 2*
    b395*b534 + 34*b395*b535 + 96*b395*b536 + 126*b395*b537 + 2142*b395*b538 + 
    6048*b395*b539 + 150*b395*b540 + 2550*b395*b541 + 7200*b395*b542 + 138*b395
    *b543 + 2346*b395*b544 + 6624*b395*b545 + 92*b395*b546 + 1564*b395*b547 + 
    4416*b395*b548 + 174*b395*b549 + 2958*b395*b550 + 8352*b395*b551 + 114*b395
    *b552 + 1938*b395*b553 + 5472*b395*b554 + 150*b395*b555 + 2550*b395*b556 + 
    7200*b395*b557 + 160*b395*b558 + 2720*b395*b559 + 7680*b395*b560 + 184*b395
    *b561 + 3128*b395*b562 + 8832*b395*b563 + 140*b395*b564 + 2380*b395*b565 + 
    6720*b395*b566 + 70*b395*b567 + 1190*b395*b568 + 3360*b395*b569 + 54*b395*
    b570 + 918*b395*b571 + 2592*b395*b572 + 46*b395*b573 + 782*b395*b574 + 2208
    *b395*b575 + 80*b395*b576 + 1360*b395*b577 + 3840*b395*b578 + 182*b395*b582
     + 3094*b395*b583 + 8736*b395*b584 + 148*b395*b585 + 2516*b395*b586 + 7104*
    b395*b587 + 164*b395*b588 + 2788*b395*b589 + 7872*b395*b590 + 192*b395*b591
     + 3264*b395*b592 + 9216*b395*b593 + 4*b395*b594 + 68*b395*b595 + 192*b395*
    b596 + 26*b395*b597 + 442*b395*b598 + 1248*b395*b599 + 296*b395*b600 + 6660
    *b395*b601 + 2664*b395*b602 + 4144*b395*b603 + 3552*b395*b604 + 2960*b395*
    b605 + 2886*b395*b606 + 6290*b395*b607 + 6068*b395*b608 + 7104*b395*b609 + 
    3182*b395*b610 + 222*b395*b612 + 4588*b395*b613 + 1258*b395*b614 + 4588*
    b395*b615 + 2664*b395*b616 + 2738*b395*b617 + 3922*b395*b619 + 7104*b395*
    b620 + 6068*b395*b621 + 3552*b395*b622 + 4514*b395*b623 + 52*b395*b624 + 
    884*b395*b625 + 2496*b395*b626 + 6552*b396*b399 + 6552*b396*b400 + 9282*
    b396*b401 + 9646*b396*b402 + 12740*b396*b403 + 2548*b396*b404 + 12012*b396*
    b405 + 9646*b396*b406 + 13104*b396*b407 + 8008*b396*b408 + 1274*b396*b409
     + 17654*b396*b410 + 9282*b396*b412 + 5096*b396*b413 + 11284*b396*b414 + 
    364*b396*b415 + 8918*b396*b416 + 9646*b396*b417 + 5096*b396*b419 + 5642*
    b396*b420 + 5328*b396*b421 + 5328*b396*b422 + 7548*b396*b423 + 7844*b396*
    b424 + 10360*b396*b425 + 2072*b396*b426 + 9768*b396*b427 + 7844*b396*b428
     + 10656*b396*b429 + 6512*b396*b430 + 1036*b396*b431 + 14356*b396*b432 + 
    7548*b396*b434 + 4144*b396*b435 + 9176*b396*b436 + 296*b396*b437 + 7252*
    b396*b438 + 7844*b396*b439 + 4144*b396*b441 + 4588*b396*b442 + 5904*b396*
    b443 + 5904*b396*b444 + 8364*b396*b445 + 8692*b396*b446 + 11480*b396*b447
     + 2296*b396*b448 + 10824*b396*b449 + 8692*b396*b450 + 11808*b396*b451 + 
    7216*b396*b452 + 1148*b396*b453 + 15908*b396*b454 + 8364*b396*b456 + 4592*
    b396*b457 + 10168*b396*b458 + 328*b396*b459 + 8036*b396*b460 + 8692*b396*
    b461 + 4592*b396*b463 + 5084*b396*b464 + 6912*b396*b465 + 6912*b396*b466 + 
    9792*b396*b467 + 10176*b396*b468 + 13440*b396*b469 + 2688*b396*b470 + 12672
    *b396*b471 + 10176*b396*b472 + 13824*b396*b473 + 8448*b396*b474 + 1344*b396
    *b475 + 18624*b396*b476 + 9792*b396*b478 + 5376*b396*b479 + 11904*b396*b480
     + 384*b396*b481 + 9408*b396*b482 + 10176*b396*b483 + 5376*b396*b485 + 5952
    *b396*b486 + 144*b396*b487 + 144*b396*b488 + 204*b396*b489 + 212*b396*b490
     + 280*b396*b491 + 56*b396*b492 + 264*b396*b493 + 212*b396*b494 + 288*b396*
    b495 + 176*b396*b496 + 28*b396*b497 + 388*b396*b498 + 204*b396*b500 + 112*
    b396*b501 + 248*b396*b502 + 8*b396*b503 + 196*b396*b504 + 212*b396*b505 + 
    112*b396*b507 + 124*b396*b508 + 936*b396*b509 + 936*b396*b510 + 1326*b396*
    b511 + 1378*b396*b512 + 1820*b396*b513 + 364*b396*b514 + 1716*b396*b515 + 
    1378*b396*b516 + 1872*b396*b517 + 1144*b396*b518 + 182*b396*b519 + 2522*
    b396*b520 + 1326*b396*b522 + 728*b396*b523 + 1612*b396*b524 + 52*b396*b525
     + 1274*b396*b526 + 1378*b396*b527 + 728*b396*b529 + 806*b396*b530 + 2040*
    b396*b531 + 1848*b396*b532 + 1800*b396*b533 + 170*b396*b534 + 154*b396*b535
     + 150*b396*b536 + 10710*b396*b537 + 9702*b396*b538 + 9450*b396*b539 + 
    12750*b396*b540 + 11550*b396*b541 + 11250*b396*b542 + 11730*b396*b543 + 
    10626*b396*b544 + 10350*b396*b545 + 7820*b396*b546 + 7084*b396*b547 + 6900*
    b396*b548 + 14790*b396*b549 + 13398*b396*b550 + 13050*b396*b551 + 9690*b396
    *b552 + 8778*b396*b553 + 8550*b396*b554 + 12750*b396*b555 + 11550*b396*b556
     + 11250*b396*b557 + 13600*b396*b558 + 12320*b396*b559 + 12000*b396*b560 + 
    15640*b396*b561 + 14168*b396*b562 + 13800*b396*b563 + 11900*b396*b564 + 
    10780*b396*b565 + 10500*b396*b566 + 5950*b396*b567 + 5390*b396*b568 + 5250*
    b396*b569 + 4590*b396*b570 + 4158*b396*b571 + 4050*b396*b572 + 3910*b396*
    b573 + 3542*b396*b574 + 3450*b396*b575 + 6800*b396*b576 + 6160*b396*b577 + 
    6000*b396*b578 + 15470*b396*b582 + 14014*b396*b583 + 13650*b396*b584 + 
    12580*b396*b585 + 11396*b396*b586 + 11100*b396*b587 + 13940*b396*b588 + 
    12628*b396*b589 + 12300*b396*b590 + 16320*b396*b591 + 14784*b396*b592 + 
    14400*b396*b593 + 340*b396*b594 + 308*b396*b595 + 300*b396*b596 + 2210*b396
    *b597 + 2002*b396*b598 + 1950*b396*b599 + 2664*b396*b600 + 3774*b396*b601
     + 3922*b396*b602 + 5180*b396*b603 + 1036*b396*b604 + 4884*b396*b605 + 3922
    *b396*b606 + 5328*b396*b607 + 3256*b396*b608 + 518*b396*b609 + 7178*b396*
    b610 + 3774*b396*b612 + 2072*b396*b613 + 5698*b396*b614 + 4588*b396*b615 + 
    148*b396*b616 + 3626*b396*b617 + 3922*b396*b618 + 2072*b396*b620 + 2294*
    b396*b621 + 5550*b396*b622 + 2664*b396*b623 + 4420*b396*b624 + 4004*b396*
    b625 + 3900*b396*b626 + 3822*b397*b399 + 4914*b397*b400 + 546*b397*b401 + 
    6734*b397*b402 + 18018*b397*b403 + 16198*b397*b404 + 10556*b397*b405 + 
    14014*b397*b406 + 1274*b397*b407 + 6370*b397*b408 + 15834*b397*b409 + 6006*
    b397*b410 + 8736*b397*b411 + 12194*b397*b412 + 13832*b397*b413 + 15106*b397
    *b414 + 364*b397*b415 + 11102*b397*b416 + 17472*b397*b417 + 5096*b397*b418
     + 182*b397*b420 + 3108*b397*b421 + 3996*b397*b422 + 444*b397*b423 + 5476*
    b397*b424 + 14652*b397*b425 + 13172*b397*b426 + 8584*b397*b427 + 11396*b397
    *b428 + 1036*b397*b429 + 5180*b397*b430 + 12876*b397*b431 + 4884*b397*b432
     + 7104*b397*b433 + 9916*b397*b434 + 11248*b397*b435 + 12284*b397*b436 + 
    296*b397*b437 + 9028*b397*b438 + 14208*b397*b439 + 4144*b397*b440 + 148*
    b397*b442 + 3444*b397*b443 + 4428*b397*b444 + 492*b397*b445 + 6068*b397*
    b446 + 16236*b397*b447 + 14596*b397*b448 + 9512*b397*b449 + 12628*b397*b450
     + 1148*b397*b451 + 5740*b397*b452 + 14268*b397*b453 + 5412*b397*b454 + 
    7872*b397*b455 + 10988*b397*b456 + 12464*b397*b457 + 13612*b397*b458 + 328*
    b397*b459 + 10004*b397*b460 + 15744*b397*b461 + 4592*b397*b462 + 164*b397*
    b464 + 4032*b397*b465 + 5184*b397*b466 + 576*b397*b467 + 7104*b397*b468 + 
    19008*b397*b469 + 17088*b397*b470 + 11136*b397*b471 + 14784*b397*b472 + 
    1344*b397*b473 + 6720*b397*b474 + 16704*b397*b475 + 6336*b397*b476 + 9216*
    b397*b477 + 12864*b397*b478 + 14592*b397*b479 + 15936*b397*b480 + 384*b397*
    b481 + 11712*b397*b482 + 18432*b397*b483 + 5376*b397*b484 + 192*b397*b486
     + 84*b397*b487 + 108*b397*b488 + 12*b397*b489 + 148*b397*b490 + 396*b397*
    b491 + 356*b397*b492 + 232*b397*b493 + 308*b397*b494 + 28*b397*b495 + 140*
    b397*b496 + 348*b397*b497 + 132*b397*b498 + 192*b397*b499 + 268*b397*b500
     + 304*b397*b501 + 332*b397*b502 + 8*b397*b503 + 244*b397*b504 + 384*b397*
    b505 + 112*b397*b506 + 4*b397*b508 + 546*b397*b509 + 702*b397*b510 + 78*
    b397*b511 + 962*b397*b512 + 2574*b397*b513 + 2314*b397*b514 + 1508*b397*
    b515 + 2002*b397*b516 + 182*b397*b517 + 910*b397*b518 + 2262*b397*b519 + 
    858*b397*b520 + 1248*b397*b521 + 1742*b397*b522 + 1976*b397*b523 + 2158*
    b397*b524 + 52*b397*b525 + 1586*b397*b526 + 2496*b397*b527 + 728*b397*b528
     + 26*b397*b530 + 2016*b397*b531 + 1056*b397*b532 + 2280*b397*b533 + 168*
    b397*b534 + 88*b397*b535 + 190*b397*b536 + 10584*b397*b537 + 5544*b397*b538
     + 11970*b397*b539 + 12600*b397*b540 + 6600*b397*b541 + 14250*b397*b542 + 
    11592*b397*b543 + 6072*b397*b544 + 13110*b397*b545 + 7728*b397*b546 + 4048*
    b397*b547 + 8740*b397*b548 + 14616*b397*b549 + 7656*b397*b550 + 16530*b397*
    b551 + 9576*b397*b552 + 5016*b397*b553 + 10830*b397*b554 + 12600*b397*b555
     + 6600*b397*b556 + 14250*b397*b557 + 13440*b397*b558 + 7040*b397*b559 + 
    15200*b397*b560 + 15456*b397*b561 + 8096*b397*b562 + 17480*b397*b563 + 
    11760*b397*b564 + 6160*b397*b565 + 13300*b397*b566 + 5880*b397*b567 + 3080*
    b397*b568 + 6650*b397*b569 + 4536*b397*b570 + 2376*b397*b571 + 5130*b397*
    b572 + 3864*b397*b573 + 2024*b397*b574 + 4370*b397*b575 + 6720*b397*b576 + 
    3520*b397*b577 + 7600*b397*b578 + 15288*b397*b582 + 8008*b397*b583 + 17290*
    b397*b584 + 12432*b397*b585 + 6512*b397*b586 + 14060*b397*b587 + 13776*b397
    *b588 + 7216*b397*b589 + 15580*b397*b590 + 16128*b397*b591 + 8448*b397*b592
     + 18240*b397*b593 + 336*b397*b594 + 176*b397*b595 + 380*b397*b596 + 2184*
    b397*b597 + 1144*b397*b598 + 2470*b397*b599 + 1998*b397*b600 + 222*b397*
    b601 + 2738*b397*b602 + 7326*b397*b603 + 6586*b397*b604 + 4292*b397*b605 + 
    5698*b397*b606 + 518*b397*b607 + 2590*b397*b608 + 6438*b397*b609 + 2442*
    b397*b610 + 3552*b397*b611 + 4958*b397*b612 + 5624*b397*b613 + 3256*b397*
    b614 + 6142*b397*b615 + 148*b397*b616 + 4514*b397*b617 + 7104*b397*b618 + 
    2072*b397*b619 + 74*b397*b621 + 7030*b397*b622 + 1554*b397*b623 + 4368*b397
    *b624 + 2288*b397*b625 + 4940*b397*b626 + 12922*b398*b399 + 15470*b398*b400
     + 8736*b398*b401 + 4732*b398*b402 + 10920*b398*b403 + 8008*b398*b404 + 
    5460*b398*b405 + 9100*b398*b406 + 8918*b398*b407 + 546*b398*b408 + 12376*
    b398*b409 + 6370*b398*b410 + 11284*b398*b411 + 7098*b398*b412 + 12012*b398*
    b413 + 16562*b398*b414 + 7826*b398*b415 + 910*b398*b416 + 14924*b398*b417
     + 5642*b398*b418 + 182*b398*b419 + 10508*b398*b421 + 12580*b398*b422 + 
    7104*b398*b423 + 3848*b398*b424 + 8880*b398*b425 + 6512*b398*b426 + 4440*
    b398*b427 + 7400*b398*b428 + 7252*b398*b429 + 444*b398*b430 + 10064*b398*
    b431 + 5180*b398*b432 + 9176*b398*b433 + 5772*b398*b434 + 9768*b398*b435 + 
    13468*b398*b436 + 6364*b398*b437 + 740*b398*b438 + 12136*b398*b439 + 4588*
    b398*b440 + 148*b398*b441 + 11644*b398*b443 + 13940*b398*b444 + 7872*b398*
    b445 + 4264*b398*b446 + 9840*b398*b447 + 7216*b398*b448 + 4920*b398*b449 + 
    8200*b398*b450 + 8036*b398*b451 + 492*b398*b452 + 11152*b398*b453 + 5740*
    b398*b454 + 10168*b398*b455 + 6396*b398*b456 + 10824*b398*b457 + 14924*b398
    *b458 + 7052*b398*b459 + 820*b398*b460 + 13448*b398*b461 + 5084*b398*b462
     + 164*b398*b463 + 13632*b398*b465 + 16320*b398*b466 + 9216*b398*b467 + 
    4992*b398*b468 + 11520*b398*b469 + 8448*b398*b470 + 5760*b398*b471 + 9600*
    b398*b472 + 9408*b398*b473 + 576*b398*b474 + 13056*b398*b475 + 6720*b398*
    b476 + 11904*b398*b477 + 7488*b398*b478 + 12672*b398*b479 + 17472*b398*b480
     + 8256*b398*b481 + 960*b398*b482 + 15744*b398*b483 + 5952*b398*b484 + 192*
    b398*b485 + 284*b398*b487 + 340*b398*b488 + 192*b398*b489 + 104*b398*b490
     + 240*b398*b491 + 176*b398*b492 + 120*b398*b493 + 200*b398*b494 + 196*b398
    *b495 + 12*b398*b496 + 272*b398*b497 + 140*b398*b498 + 248*b398*b499 + 156*
    b398*b500 + 264*b398*b501 + 364*b398*b502 + 172*b398*b503 + 20*b398*b504 + 
    328*b398*b505 + 124*b398*b506 + 4*b398*b507 + 1846*b398*b509 + 2210*b398*
    b510 + 1248*b398*b511 + 676*b398*b512 + 1560*b398*b513 + 1144*b398*b514 + 
    780*b398*b515 + 1300*b398*b516 + 1274*b398*b517 + 78*b398*b518 + 1768*b398*
    b519 + 910*b398*b520 + 1612*b398*b521 + 1014*b398*b522 + 1716*b398*b523 + 
    2366*b398*b524 + 1118*b398*b525 + 130*b398*b526 + 2132*b398*b527 + 806*b398
    *b528 + 26*b398*b529 + 288*b398*b531 + 624*b398*b532 + 168*b398*b533 + 24*
    b398*b534 + 52*b398*b535 + 14*b398*b536 + 1512*b398*b537 + 3276*b398*b538
     + 882*b398*b539 + 1800*b398*b540 + 3900*b398*b541 + 1050*b398*b542 + 1656*
    b398*b543 + 3588*b398*b544 + 966*b398*b545 + 1104*b398*b546 + 2392*b398*
    b547 + 644*b398*b548 + 2088*b398*b549 + 4524*b398*b550 + 1218*b398*b551 + 
    1368*b398*b552 + 2964*b398*b553 + 798*b398*b554 + 1800*b398*b555 + 3900*
    b398*b556 + 1050*b398*b557 + 1920*b398*b558 + 4160*b398*b559 + 1120*b398*
    b560 + 2208*b398*b561 + 4784*b398*b562 + 1288*b398*b563 + 1680*b398*b564 + 
    3640*b398*b565 + 980*b398*b566 + 840*b398*b567 + 1820*b398*b568 + 490*b398*
    b569 + 648*b398*b570 + 1404*b398*b571 + 378*b398*b572 + 552*b398*b573 + 
    1196*b398*b574 + 322*b398*b575 + 960*b398*b576 + 2080*b398*b577 + 560*b398*
    b578 + 2184*b398*b582 + 4732*b398*b583 + 1274*b398*b584 + 1776*b398*b585 + 
    3848*b398*b586 + 1036*b398*b587 + 1968*b398*b588 + 4264*b398*b589 + 1148*
    b398*b590 + 2304*b398*b591 + 4992*b398*b592 + 1344*b398*b593 + 48*b398*b594
     + 104*b398*b595 + 28*b398*b596 + 312*b398*b597 + 676*b398*b598 + 182*b398*
    b599 + 6290*b398*b600 + 3552*b398*b601 + 1924*b398*b602 + 4440*b398*b603 + 
    3256*b398*b604 + 2220*b398*b605 + 3700*b398*b606 + 3626*b398*b607 + 222*
    b398*b608 + 5032*b398*b609 + 2590*b398*b610 + 4588*b398*b611 + 2886*b398*
    b612 + 4884*b398*b613 + 1924*b398*b614 + 6734*b398*b615 + 3182*b398*b616 + 
    370*b398*b617 + 6068*b398*b618 + 2294*b398*b619 + 74*b398*b620 + 518*b398*
    b622 + 5254*b398*b623 + 624*b398*b624 + 1352*b398*b625 + 364*b398*b626 + 
    208*b399*b422 + 728*b399*b423 + 88*b399*b424 + 280*b399*b425 + 656*b399*
    b426 + 208*b399*b427 + 552*b399*b428 + 448*b399*b429 + 688*b399*b430 + 360*
    b399*b431 + 728*b399*b432 + 472*b399*b433 + 144*b399*b434 + 608*b399*b435
     + 144*b399*b436 + 456*b399*b437 + 288*b399*b438 + 488*b399*b439 + 288*b399
    *b440 + 168*b399*b441 + 568*b399*b442 + 208*b399*b444 + 728*b399*b445 + 88*
    b399*b446 + 280*b399*b447 + 656*b399*b448 + 208*b399*b449 + 552*b399*b450
     + 448*b399*b451 + 688*b399*b452 + 360*b399*b453 + 728*b399*b454 + 472*b399
    *b455 + 144*b399*b456 + 608*b399*b457 + 144*b399*b458 + 456*b399*b459 + 288
    *b399*b460 + 488*b399*b461 + 288*b399*b462 + 168*b399*b463 + 568*b399*b464
     + 1820*b399*b466 + 6370*b399*b467 + 770*b399*b468 + 2450*b399*b469 + 5740*
    b399*b470 + 1820*b399*b471 + 4830*b399*b472 + 3920*b399*b473 + 6020*b399*
    b474 + 3150*b399*b475 + 6370*b399*b476 + 4130*b399*b477 + 1260*b399*b478 + 
    5320*b399*b479 + 1260*b399*b480 + 3990*b399*b481 + 2520*b399*b482 + 4270*
    b399*b483 + 2520*b399*b484 + 1470*b399*b485 + 4970*b399*b486 + 2496*b399*
    b488 + 8736*b399*b489 + 1056*b399*b490 + 3360*b399*b491 + 7872*b399*b492 + 
    2496*b399*b493 + 6624*b399*b494 + 5376*b399*b495 + 8256*b399*b496 + 4320*
    b399*b497 + 8736*b399*b498 + 5664*b399*b499 + 1728*b399*b500 + 7296*b399*
    b501 + 1728*b399*b502 + 5472*b399*b503 + 3456*b399*b504 + 5856*b399*b505 + 
    3456*b399*b506 + 2016*b399*b507 + 6816*b399*b508 + 1508*b399*b510 + 5278*
    b399*b511 + 638*b399*b512 + 2030*b399*b513 + 4756*b399*b514 + 1508*b399*
    b515 + 4002*b399*b516 + 3248*b399*b517 + 4988*b399*b518 + 2610*b399*b519 + 
    5278*b399*b520 + 3422*b399*b521 + 1044*b399*b522 + 4408*b399*b523 + 1044*
    b399*b524 + 3306*b399*b525 + 2088*b399*b526 + 3538*b399*b527 + 2088*b399*
    b528 + 1218*b399*b529 + 4118*b399*b530 + 2730*b399*b531 + 5070*b399*b532 + 
    1430*b399*b533 + 3654*b399*b534 + 6786*b399*b535 + 1914*b399*b536 + 546*
    b399*b537 + 1014*b399*b538 + 286*b399*b539 + 3486*b399*b540 + 6474*b399*
    b541 + 1826*b399*b542 + 2898*b399*b543 + 5382*b399*b544 + 1518*b399*b545 + 
    2352*b399*b546 + 4368*b399*b547 + 1232*b399*b548 + 3192*b399*b549 + 5928*
    b399*b550 + 1672*b399*b551 + 3528*b399*b552 + 6552*b399*b553 + 1848*b399*
    b554 + 4158*b399*b555 + 7722*b399*b556 + 2178*b399*b557 + 168*b399*b558 + 
    312*b399*b559 + 88*b399*b560 + 2058*b399*b561 + 3822*b399*b562 + 1078*b399*
    b563 + 714*b399*b564 + 1326*b399*b565 + 374*b399*b566 + 2520*b399*b567 + 
    4680*b399*b568 + 1320*b399*b569 + 2058*b399*b570 + 3822*b399*b571 + 1078*
    b399*b572 + 672*b399*b573 + 1248*b399*b574 + 352*b399*b575 + 2310*b399*b576
     + 4290*b399*b577 + 1210*b399*b578 + 3822*b399*b579 + 7098*b399*b580 + 2002
    *b399*b581 + 168*b399*b585 + 312*b399*b586 + 88*b399*b587 + 168*b399*b588
     + 312*b399*b589 + 88*b399*b590 + 1470*b399*b591 + 2730*b399*b592 + 770*
    b399*b593 + 2016*b399*b594 + 3744*b399*b595 + 1056*b399*b596 + 1218*b399*
    b597 + 2262*b399*b598 + 638*b399*b599 + 4108*b399*b600 + 14378*b399*b601 + 
    1738*b399*b602 + 5530*b399*b603 + 12956*b399*b604 + 4108*b399*b605 + 10902*
    b399*b606 + 8848*b399*b607 + 13588*b399*b608 + 7110*b399*b609 + 14378*b399*
    b610 + 9322*b399*b611 + 2844*b399*b612 + 12008*b399*b613 + 6162*b399*b614
     + 2844*b399*b615 + 9006*b399*b616 + 5688*b399*b617 + 9638*b399*b618 + 5688
    *b399*b619 + 3318*b399*b620 + 11218*b399*b621 + 1738*b399*b622 + 3780*b399*
    b624 + 7020*b399*b625 + 1980*b399*b626 + 208*b400*b421 + 232*b400*b423 + 
    656*b400*b424 + 656*b400*b425 + 48*b400*b426 + 568*b400*b427 + 64*b400*b428
     + 616*b400*b429 + 592*b400*b430 + 240*b400*b431 + 712*b400*b432 + 608*b400
    *b433 + 608*b400*b434 + 320*b400*b435 + 448*b400*b436 + 8*b400*b437 + 400*
    b400*b438 + 32*b400*b439 + 288*b400*b440 + 216*b400*b441 + 680*b400*b442 + 
    208*b400*b443 + 232*b400*b445 + 656*b400*b446 + 656*b400*b447 + 48*b400*
    b448 + 568*b400*b449 + 64*b400*b450 + 616*b400*b451 + 592*b400*b452 + 240*
    b400*b453 + 712*b400*b454 + 608*b400*b455 + 608*b400*b456 + 320*b400*b457
     + 448*b400*b458 + 8*b400*b459 + 400*b400*b460 + 32*b400*b461 + 288*b400*
    b462 + 216*b400*b463 + 680*b400*b464 + 1820*b400*b465 + 2030*b400*b467 + 
    5740*b400*b468 + 5740*b400*b469 + 420*b400*b470 + 4970*b400*b471 + 560*b400
    *b472 + 5390*b400*b473 + 5180*b400*b474 + 2100*b400*b475 + 6230*b400*b476
     + 5320*b400*b477 + 5320*b400*b478 + 2800*b400*b479 + 3920*b400*b480 + 70*
    b400*b481 + 3500*b400*b482 + 280*b400*b483 + 2520*b400*b484 + 1890*b400*
    b485 + 5950*b400*b486 + 2496*b400*b487 + 2784*b400*b489 + 7872*b400*b490 + 
    7872*b400*b491 + 576*b400*b492 + 6816*b400*b493 + 768*b400*b494 + 7392*b400
    *b495 + 7104*b400*b496 + 2880*b400*b497 + 8544*b400*b498 + 7296*b400*b499
     + 7296*b400*b500 + 3840*b400*b501 + 5376*b400*b502 + 96*b400*b503 + 4800*
    b400*b504 + 384*b400*b505 + 3456*b400*b506 + 2592*b400*b507 + 8160*b400*
    b508 + 1508*b400*b509 + 1682*b400*b511 + 4756*b400*b512 + 4756*b400*b513 + 
    348*b400*b514 + 4118*b400*b515 + 464*b400*b516 + 4466*b400*b517 + 4292*b400
    *b518 + 1740*b400*b519 + 5162*b400*b520 + 4408*b400*b521 + 4408*b400*b522
     + 2320*b400*b523 + 3248*b400*b524 + 58*b400*b525 + 2900*b400*b526 + 232*
    b400*b527 + 2088*b400*b528 + 1566*b400*b529 + 4930*b400*b530 + 12350*b400*
    b531 + 12090*b400*b532 + 260*b400*b533 + 16530*b400*b534 + 16182*b400*b535
     + 348*b400*b536 + 2470*b400*b537 + 2418*b400*b538 + 52*b400*b539 + 15770*
    b400*b540 + 15438*b400*b541 + 332*b400*b542 + 13110*b400*b543 + 12834*b400*
    b544 + 276*b400*b545 + 10640*b400*b546 + 10416*b400*b547 + 224*b400*b548 + 
    14440*b400*b549 + 14136*b400*b550 + 304*b400*b551 + 15960*b400*b552 + 15624
    *b400*b553 + 336*b400*b554 + 18810*b400*b555 + 18414*b400*b556 + 396*b400*
    b557 + 760*b400*b558 + 744*b400*b559 + 16*b400*b560 + 9310*b400*b561 + 9114
    *b400*b562 + 196*b400*b563 + 3230*b400*b564 + 3162*b400*b565 + 68*b400*b566
     + 11400*b400*b567 + 11160*b400*b568 + 240*b400*b569 + 9310*b400*b570 + 
    9114*b400*b571 + 196*b400*b572 + 3040*b400*b573 + 2976*b400*b574 + 64*b400*
    b575 + 10450*b400*b576 + 10230*b400*b577 + 220*b400*b578 + 17290*b400*b579
     + 16926*b400*b580 + 364*b400*b581 + 760*b400*b585 + 744*b400*b586 + 16*
    b400*b587 + 760*b400*b588 + 744*b400*b589 + 16*b400*b590 + 6650*b400*b591
     + 6510*b400*b592 + 140*b400*b593 + 9120*b400*b594 + 8928*b400*b595 + 192*
    b400*b596 + 5510*b400*b597 + 5394*b400*b598 + 116*b400*b599 + 4582*b400*
    b601 + 12956*b400*b602 + 12956*b400*b603 + 948*b400*b604 + 11218*b400*b605
     + 1264*b400*b606 + 12166*b400*b607 + 11692*b400*b608 + 4740*b400*b609 + 
    14062*b400*b610 + 12008*b400*b611 + 12008*b400*b612 + 6320*b400*b613 + 
    14694*b400*b614 + 8848*b400*b615 + 158*b400*b616 + 7900*b400*b617 + 632*
    b400*b618 + 5688*b400*b619 + 4266*b400*b620 + 13430*b400*b621 + 316*b400*
    b622 + 4108*b400*b623 + 17100*b400*b624 + 16740*b400*b625 + 360*b400*b626
     + 728*b401*b421 + 232*b401*b422 + 8*b401*b424 + 120*b401*b425 + 88*b401*
    b426 + 280*b401*b427 + 88*b401*b428 + 160*b401*b429 + 168*b401*b430 + 488*
    b401*b431 + 640*b401*b432 + 464*b401*b433 + 168*b401*b434 + 608*b401*b435
     + 352*b401*b436 + 680*b401*b437 + 752*b401*b438 + 720*b401*b439 + 408*b401
    *b440 + 24*b401*b441 + 384*b401*b442 + 728*b401*b443 + 232*b401*b444 + 8*
    b401*b446 + 120*b401*b447 + 88*b401*b448 + 280*b401*b449 + 88*b401*b450 + 
    160*b401*b451 + 168*b401*b452 + 488*b401*b453 + 640*b401*b454 + 464*b401*
    b455 + 168*b401*b456 + 608*b401*b457 + 352*b401*b458 + 680*b401*b459 + 752*
    b401*b460 + 720*b401*b461 + 408*b401*b462 + 24*b401*b463 + 384*b401*b464 + 
    6370*b401*b465 + 2030*b401*b466 + 70*b401*b468 + 1050*b401*b469 + 770*b401*
    b470 + 2450*b401*b471 + 770*b401*b472 + 1400*b401*b473 + 1470*b401*b474 + 
    4270*b401*b475 + 5600*b401*b476 + 4060*b401*b477 + 1470*b401*b478 + 5320*
    b401*b479 + 3080*b401*b480 + 5950*b401*b481 + 6580*b401*b482 + 6300*b401*
    b483 + 3570*b401*b484 + 210*b401*b485 + 3360*b401*b486 + 8736*b401*b487 + 
    2784*b401*b488 + 96*b401*b490 + 1440*b401*b491 + 1056*b401*b492 + 3360*b401
    *b493 + 1056*b401*b494 + 1920*b401*b495 + 2016*b401*b496 + 5856*b401*b497
     + 7680*b401*b498 + 5568*b401*b499 + 2016*b401*b500 + 7296*b401*b501 + 4224
    *b401*b502 + 8160*b401*b503 + 9024*b401*b504 + 8640*b401*b505 + 4896*b401*
    b506 + 288*b401*b507 + 4608*b401*b508 + 5278*b401*b509 + 1682*b401*b510 + 
    58*b401*b512 + 870*b401*b513 + 638*b401*b514 + 2030*b401*b515 + 638*b401*
    b516 + 1160*b401*b517 + 1218*b401*b518 + 3538*b401*b519 + 4640*b401*b520 + 
    3364*b401*b521 + 1218*b401*b522 + 4408*b401*b523 + 2552*b401*b524 + 4930*
    b401*b525 + 5452*b401*b526 + 5220*b401*b527 + 2958*b401*b528 + 174*b401*
    b529 + 2784*b401*b530 + 10660*b401*b531 + 9360*b401*b532 + 3770*b401*b533
     + 14268*b401*b534 + 12528*b401*b535 + 5046*b401*b536 + 2132*b401*b537 + 
    1872*b401*b538 + 754*b401*b539 + 13612*b401*b540 + 11952*b401*b541 + 4814*
    b401*b542 + 11316*b401*b543 + 9936*b401*b544 + 4002*b401*b545 + 9184*b401*
    b546 + 8064*b401*b547 + 3248*b401*b548 + 12464*b401*b549 + 10944*b401*b550
     + 4408*b401*b551 + 13776*b401*b552 + 12096*b401*b553 + 4872*b401*b554 + 
    16236*b401*b555 + 14256*b401*b556 + 5742*b401*b557 + 656*b401*b558 + 576*
    b401*b559 + 232*b401*b560 + 8036*b401*b561 + 7056*b401*b562 + 2842*b401*
    b563 + 2788*b401*b564 + 2448*b401*b565 + 986*b401*b566 + 9840*b401*b567 + 
    8640*b401*b568 + 3480*b401*b569 + 8036*b401*b570 + 7056*b401*b571 + 2842*
    b401*b572 + 2624*b401*b573 + 2304*b401*b574 + 928*b401*b575 + 9020*b401*
    b576 + 7920*b401*b577 + 3190*b401*b578 + 14924*b401*b579 + 13104*b401*b580
     + 5278*b401*b581 + 656*b401*b585 + 576*b401*b586 + 232*b401*b587 + 656*
    b401*b588 + 576*b401*b589 + 232*b401*b590 + 5740*b401*b591 + 5040*b401*b592
     + 2030*b401*b593 + 7872*b401*b594 + 6912*b401*b595 + 2784*b401*b596 + 4756
    *b401*b597 + 4176*b401*b598 + 1682*b401*b599 + 4582*b401*b600 + 158*b401*
    b602 + 2370*b401*b603 + 1738*b401*b604 + 5530*b401*b605 + 1738*b401*b606 + 
    3160*b401*b607 + 3318*b401*b608 + 9638*b401*b609 + 12640*b401*b610 + 9164*
    b401*b611 + 3318*b401*b612 + 12008*b401*b613 + 11376*b401*b614 + 6952*b401*
    b615 + 13430*b401*b616 + 14852*b401*b617 + 14220*b401*b618 + 8058*b401*b619
     + 474*b401*b620 + 7584*b401*b621 + 4582*b401*b622 + 14378*b401*b623 + 
    14760*b401*b624 + 12960*b401*b625 + 5220*b401*b626 + 88*b402*b421 + 656*
    b402*b422 + 8*b402*b423 + 720*b402*b425 + 528*b402*b426 + 328*b402*b427 + 
    120*b402*b428 + 664*b402*b429 + 768*b402*b430 + 592*b402*b431 + 360*b402*
    b432 + 520*b402*b433 + 320*b402*b434 + 432*b402*b435 + 112*b402*b436 + 568*
    b402*b437 + 616*b402*b438 + 288*b402*b439 + 424*b402*b440 + 296*b402*b441
     + 208*b402*b442 + 88*b402*b443 + 656*b402*b444 + 8*b402*b445 + 720*b402*
    b447 + 528*b402*b448 + 328*b402*b449 + 120*b402*b450 + 664*b402*b451 + 768*
    b402*b452 + 592*b402*b453 + 360*b402*b454 + 520*b402*b455 + 320*b402*b456
     + 432*b402*b457 + 112*b402*b458 + 568*b402*b459 + 616*b402*b460 + 288*b402
    *b461 + 424*b402*b462 + 296*b402*b463 + 208*b402*b464 + 770*b402*b465 + 
    5740*b402*b466 + 70*b402*b467 + 6300*b402*b469 + 4620*b402*b470 + 2870*b402
    *b471 + 1050*b402*b472 + 5810*b402*b473 + 6720*b402*b474 + 5180*b402*b475
     + 3150*b402*b476 + 4550*b402*b477 + 2800*b402*b478 + 3780*b402*b479 + 980*
    b402*b480 + 4970*b402*b481 + 5390*b402*b482 + 2520*b402*b483 + 3710*b402*
    b484 + 2590*b402*b485 + 1820*b402*b486 + 1056*b402*b487 + 7872*b402*b488 + 
    96*b402*b489 + 8640*b402*b491 + 6336*b402*b492 + 3936*b402*b493 + 1440*b402
    *b494 + 7968*b402*b495 + 9216*b402*b496 + 7104*b402*b497 + 4320*b402*b498
     + 6240*b402*b499 + 3840*b402*b500 + 5184*b402*b501 + 1344*b402*b502 + 6816
    *b402*b503 + 7392*b402*b504 + 3456*b402*b505 + 5088*b402*b506 + 3552*b402*
    b507 + 2496*b402*b508 + 638*b402*b509 + 4756*b402*b510 + 58*b402*b511 + 
    5220*b402*b513 + 3828*b402*b514 + 2378*b402*b515 + 870*b402*b516 + 4814*
    b402*b517 + 5568*b402*b518 + 4292*b402*b519 + 2610*b402*b520 + 3770*b402*
    b521 + 2320*b402*b522 + 3132*b402*b523 + 812*b402*b524 + 4118*b402*b525 + 
    4466*b402*b526 + 2088*b402*b527 + 3074*b402*b528 + 2146*b402*b529 + 1508*
    b402*b530 + 7280*b402*b531 + 10790*b402*b532 + 11310*b402*b533 + 9744*b402*
    b534 + 14442*b402*b535 + 15138*b402*b536 + 1456*b402*b537 + 2158*b402*b538
     + 2262*b402*b539 + 9296*b402*b540 + 13778*b402*b541 + 14442*b402*b542 + 
    7728*b402*b543 + 11454*b402*b544 + 12006*b402*b545 + 6272*b402*b546 + 9296*
    b402*b547 + 9744*b402*b548 + 8512*b402*b549 + 12616*b402*b550 + 13224*b402*
    b551 + 9408*b402*b552 + 13944*b402*b553 + 14616*b402*b554 + 11088*b402*b555
     + 16434*b402*b556 + 17226*b402*b557 + 448*b402*b558 + 664*b402*b559 + 696*
    b402*b560 + 5488*b402*b561 + 8134*b402*b562 + 8526*b402*b563 + 1904*b402*
    b564 + 2822*b402*b565 + 2958*b402*b566 + 6720*b402*b567 + 9960*b402*b568 + 
    10440*b402*b569 + 5488*b402*b570 + 8134*b402*b571 + 8526*b402*b572 + 1792*
    b402*b573 + 2656*b402*b574 + 2784*b402*b575 + 6160*b402*b576 + 9130*b402*
    b577 + 9570*b402*b578 + 10192*b402*b579 + 15106*b402*b580 + 15834*b402*b581
     + 448*b402*b585 + 664*b402*b586 + 696*b402*b587 + 448*b402*b588 + 664*b402
    *b589 + 696*b402*b590 + 3920*b402*b591 + 5810*b402*b592 + 6090*b402*b593 + 
    5376*b402*b594 + 7968*b402*b595 + 8352*b402*b596 + 3248*b402*b597 + 4814*
    b402*b598 + 5046*b402*b599 + 12956*b402*b600 + 158*b402*b601 + 14220*b402*
    b603 + 10428*b402*b604 + 6478*b402*b605 + 2370*b402*b606 + 13114*b402*b607
     + 15168*b402*b608 + 11692*b402*b609 + 7110*b402*b610 + 10270*b402*b611 + 
    6320*b402*b612 + 8532*b402*b613 + 13114*b402*b614 + 2212*b402*b615 + 11218*
    b402*b616 + 12166*b402*b617 + 5688*b402*b618 + 8374*b402*b619 + 5846*b402*
    b620 + 4108*b402*b621 + 13746*b402*b622 + 1738*b402*b623 + 10080*b402*b624
     + 14940*b402*b625 + 15660*b402*b626 + 280*b403*b421 + 656*b403*b422 + 120*
    b403*b423 + 720*b403*b424 + 608*b403*b426 + 728*b403*b427 + 104*b403*b428
     + 232*b403*b429 + 88*b403*b430 + 616*b403*b431 + 256*b403*b432 + 696*b403*
    b433 + 536*b403*b434 + 752*b403*b435 + 16*b403*b436 + 80*b403*b437 + 792*
    b403*b438 + 448*b403*b439 + 560*b403*b440 + 792*b403*b441 + 480*b403*b442
     + 280*b403*b443 + 656*b403*b444 + 120*b403*b445 + 720*b403*b446 + 608*b403
    *b448 + 728*b403*b449 + 104*b403*b450 + 232*b403*b451 + 88*b403*b452 + 616*
    b403*b453 + 256*b403*b454 + 696*b403*b455 + 536*b403*b456 + 752*b403*b457
     + 16*b403*b458 + 80*b403*b459 + 792*b403*b460 + 448*b403*b461 + 560*b403*
    b462 + 792*b403*b463 + 480*b403*b464 + 2450*b403*b465 + 5740*b403*b466 + 
    1050*b403*b467 + 6300*b403*b468 + 5320*b403*b470 + 6370*b403*b471 + 910*
    b403*b472 + 2030*b403*b473 + 770*b403*b474 + 5390*b403*b475 + 2240*b403*
    b476 + 6090*b403*b477 + 4690*b403*b478 + 6580*b403*b479 + 140*b403*b480 + 
    700*b403*b481 + 6930*b403*b482 + 3920*b403*b483 + 4900*b403*b484 + 6930*
    b403*b485 + 4200*b403*b486 + 3360*b403*b487 + 7872*b403*b488 + 1440*b403*
    b489 + 8640*b403*b490 + 7296*b403*b492 + 8736*b403*b493 + 1248*b403*b494 + 
    2784*b403*b495 + 1056*b403*b496 + 7392*b403*b497 + 3072*b403*b498 + 8352*
    b403*b499 + 6432*b403*b500 + 9024*b403*b501 + 192*b403*b502 + 960*b403*b503
     + 9504*b403*b504 + 5376*b403*b505 + 6720*b403*b506 + 9504*b403*b507 + 5760
    *b403*b508 + 2030*b403*b509 + 4756*b403*b510 + 870*b403*b511 + 5220*b403*
    b512 + 4408*b403*b514 + 5278*b403*b515 + 754*b403*b516 + 1682*b403*b517 + 
    638*b403*b518 + 4466*b403*b519 + 1856*b403*b520 + 5046*b403*b521 + 3886*
    b403*b522 + 5452*b403*b523 + 116*b403*b524 + 580*b403*b525 + 5742*b403*b526
     + 3248*b403*b527 + 4060*b403*b528 + 5742*b403*b529 + 3480*b403*b530 + 5330
    *b403*b531 + 10270*b403*b532 + 520*b403*b533 + 7134*b403*b534 + 13746*b403*
    b535 + 696*b403*b536 + 1066*b403*b537 + 2054*b403*b538 + 104*b403*b539 + 
    6806*b403*b540 + 13114*b403*b541 + 664*b403*b542 + 5658*b403*b543 + 10902*
    b403*b544 + 552*b403*b545 + 4592*b403*b546 + 8848*b403*b547 + 448*b403*b548
     + 6232*b403*b549 + 12008*b403*b550 + 608*b403*b551 + 6888*b403*b552 + 
    13272*b403*b553 + 672*b403*b554 + 8118*b403*b555 + 15642*b403*b556 + 792*
    b403*b557 + 328*b403*b558 + 632*b403*b559 + 32*b403*b560 + 4018*b403*b561
     + 7742*b403*b562 + 392*b403*b563 + 1394*b403*b564 + 2686*b403*b565 + 136*
    b403*b566 + 4920*b403*b567 + 9480*b403*b568 + 480*b403*b569 + 4018*b403*
    b570 + 7742*b403*b571 + 392*b403*b572 + 1312*b403*b573 + 2528*b403*b574 + 
    128*b403*b575 + 4510*b403*b576 + 8690*b403*b577 + 440*b403*b578 + 7462*b403
    *b579 + 14378*b403*b580 + 728*b403*b581 + 328*b403*b585 + 632*b403*b586 + 
    32*b403*b587 + 328*b403*b588 + 632*b403*b589 + 32*b403*b590 + 2870*b403*
    b591 + 5530*b403*b592 + 280*b403*b593 + 3936*b403*b594 + 7584*b403*b595 + 
    384*b403*b596 + 2378*b403*b597 + 4582*b403*b598 + 232*b403*b599 + 12956*
    b403*b600 + 2370*b403*b601 + 14220*b403*b602 + 12008*b403*b604 + 14378*b403
    *b605 + 2054*b403*b606 + 4582*b403*b607 + 1738*b403*b608 + 12166*b403*b609
     + 5056*b403*b610 + 13746*b403*b611 + 10586*b403*b612 + 14852*b403*b613 + 
    12482*b403*b614 + 316*b403*b615 + 1580*b403*b616 + 15642*b403*b617 + 8848*
    b403*b618 + 11060*b403*b619 + 15642*b403*b620 + 9480*b403*b621 + 632*b403*
    b622 + 5530*b403*b623 + 7380*b403*b624 + 14220*b403*b625 + 720*b403*b626 + 
    656*b404*b421 + 48*b404*b422 + 88*b404*b423 + 528*b404*b424 + 608*b404*b425
     + 448*b404*b427 + 16*b404*b428 + 480*b404*b429 + 576*b404*b430 + 592*b404*
    b431 + 368*b404*b432 + 104*b404*b433 + 160*b404*b434 + 688*b404*b435 + 616*
    b404*b436 + 120*b404*b437 + 712*b404*b438 + 384*b404*b439 + 112*b404*b440
     + 712*b404*b441 + 352*b404*b442 + 656*b404*b443 + 48*b404*b444 + 88*b404*
    b445 + 528*b404*b446 + 608*b404*b447 + 448*b404*b449 + 16*b404*b450 + 480*
    b404*b451 + 576*b404*b452 + 592*b404*b453 + 368*b404*b454 + 104*b404*b455
     + 160*b404*b456 + 688*b404*b457 + 616*b404*b458 + 120*b404*b459 + 712*b404
    *b460 + 384*b404*b461 + 112*b404*b462 + 712*b404*b463 + 352*b404*b464 + 
    5740*b404*b465 + 420*b404*b466 + 770*b404*b467 + 4620*b404*b468 + 5320*b404
    *b469 + 3920*b404*b471 + 140*b404*b472 + 4200*b404*b473 + 5040*b404*b474 + 
    5180*b404*b475 + 3220*b404*b476 + 910*b404*b477 + 1400*b404*b478 + 6020*
    b404*b479 + 5390*b404*b480 + 1050*b404*b481 + 6230*b404*b482 + 3360*b404*
    b483 + 980*b404*b484 + 6230*b404*b485 + 3080*b404*b486 + 7872*b404*b487 + 
    576*b404*b488 + 1056*b404*b489 + 6336*b404*b490 + 7296*b404*b491 + 5376*
    b404*b493 + 192*b404*b494 + 5760*b404*b495 + 6912*b404*b496 + 7104*b404*
    b497 + 4416*b404*b498 + 1248*b404*b499 + 1920*b404*b500 + 8256*b404*b501 + 
    7392*b404*b502 + 1440*b404*b503 + 8544*b404*b504 + 4608*b404*b505 + 1344*
    b404*b506 + 8544*b404*b507 + 4224*b404*b508 + 4756*b404*b509 + 348*b404*
    b510 + 638*b404*b511 + 3828*b404*b512 + 4408*b404*b513 + 3248*b404*b515 + 
    116*b404*b516 + 3480*b404*b517 + 4176*b404*b518 + 4292*b404*b519 + 2668*
    b404*b520 + 754*b404*b521 + 1160*b404*b522 + 4988*b404*b523 + 4466*b404*
    b524 + 870*b404*b525 + 5162*b404*b526 + 2784*b404*b527 + 812*b404*b528 + 
    5162*b404*b529 + 2552*b404*b530 + 780*b404*b531 + 520*b404*b532 + 7670*b404
    *b533 + 1044*b404*b534 + 696*b404*b535 + 10266*b404*b536 + 156*b404*b537 + 
    104*b404*b538 + 1534*b404*b539 + 996*b404*b540 + 664*b404*b541 + 9794*b404*
    b542 + 828*b404*b543 + 552*b404*b544 + 8142*b404*b545 + 672*b404*b546 + 448
    *b404*b547 + 6608*b404*b548 + 912*b404*b549 + 608*b404*b550 + 8968*b404*
    b551 + 1008*b404*b552 + 672*b404*b553 + 9912*b404*b554 + 1188*b404*b555 + 
    792*b404*b556 + 11682*b404*b557 + 48*b404*b558 + 32*b404*b559 + 472*b404*
    b560 + 588*b404*b561 + 392*b404*b562 + 5782*b404*b563 + 204*b404*b564 + 136
    *b404*b565 + 2006*b404*b566 + 720*b404*b567 + 480*b404*b568 + 7080*b404*
    b569 + 588*b404*b570 + 392*b404*b571 + 5782*b404*b572 + 192*b404*b573 + 128
    *b404*b574 + 1888*b404*b575 + 660*b404*b576 + 440*b404*b577 + 6490*b404*
    b578 + 1092*b404*b579 + 728*b404*b580 + 10738*b404*b581 + 48*b404*b585 + 32
    *b404*b586 + 472*b404*b587 + 48*b404*b588 + 32*b404*b589 + 472*b404*b590 + 
    420*b404*b591 + 280*b404*b592 + 4130*b404*b593 + 576*b404*b594 + 384*b404*
    b595 + 5664*b404*b596 + 348*b404*b597 + 232*b404*b598 + 3422*b404*b599 + 
    948*b404*b600 + 1738*b404*b601 + 10428*b404*b602 + 12008*b404*b603 + 8848*
    b404*b605 + 316*b404*b606 + 9480*b404*b607 + 11376*b404*b608 + 11692*b404*
    b609 + 7268*b404*b610 + 2054*b404*b611 + 3160*b404*b612 + 13588*b404*b613
     + 632*b404*b614 + 12166*b404*b615 + 2370*b404*b616 + 14062*b404*b617 + 
    7584*b404*b618 + 2212*b404*b619 + 14062*b404*b620 + 6952*b404*b621 + 9322*
    b404*b622 + 12956*b404*b623 + 1080*b404*b624 + 720*b404*b625 + 10620*b404*
    b626 + 208*b405*b421 + 568*b405*b422 + 280*b405*b423 + 328*b405*b424 + 728*
    b405*b425 + 448*b405*b426 + 176*b405*b428 + 456*b405*b429 + 504*b405*b430
     + 48*b405*b431 + 496*b405*b433 + 328*b405*b434 + 496*b405*b435 + 200*b405*
    b436 + 600*b405*b437 + 608*b405*b438 + 320*b405*b439 + 528*b405*b440 + 464*
    b405*b441 + 240*b405*b442 + 208*b405*b443 + 568*b405*b444 + 280*b405*b445
     + 328*b405*b446 + 728*b405*b447 + 448*b405*b448 + 176*b405*b450 + 456*b405
    *b451 + 504*b405*b452 + 48*b405*b453 + 496*b405*b455 + 328*b405*b456 + 496*
    b405*b457 + 200*b405*b458 + 600*b405*b459 + 608*b405*b460 + 320*b405*b461
     + 528*b405*b462 + 464*b405*b463 + 240*b405*b464 + 1820*b405*b465 + 4970*
    b405*b466 + 2450*b405*b467 + 2870*b405*b468 + 6370*b405*b469 + 3920*b405*
    b470 + 1540*b405*b472 + 3990*b405*b473 + 4410*b405*b474 + 420*b405*b475 + 
    4340*b405*b477 + 2870*b405*b478 + 4340*b405*b479 + 1750*b405*b480 + 5250*
    b405*b481 + 5320*b405*b482 + 2800*b405*b483 + 4620*b405*b484 + 4060*b405*
    b485 + 2100*b405*b486 + 2496*b405*b487 + 6816*b405*b488 + 3360*b405*b489 + 
    3936*b405*b490 + 8736*b405*b491 + 5376*b405*b492 + 2112*b405*b494 + 5472*
    b405*b495 + 6048*b405*b496 + 576*b405*b497 + 5952*b405*b499 + 3936*b405*
    b500 + 5952*b405*b501 + 2400*b405*b502 + 7200*b405*b503 + 7296*b405*b504 + 
    3840*b405*b505 + 6336*b405*b506 + 5568*b405*b507 + 2880*b405*b508 + 1508*
    b405*b509 + 4118*b405*b510 + 2030*b405*b511 + 2378*b405*b512 + 5278*b405*
    b513 + 3248*b405*b514 + 1276*b405*b516 + 3306*b405*b517 + 3654*b405*b518 + 
    348*b405*b519 + 3596*b405*b521 + 2378*b405*b522 + 3596*b405*b523 + 1450*
    b405*b524 + 4350*b405*b525 + 4408*b405*b526 + 2320*b405*b527 + 3828*b405*
    b528 + 3364*b405*b529 + 1740*b405*b530 + 3250*b405*b531 + 5980*b405*b532 + 
    8840*b405*b533 + 4350*b405*b534 + 8004*b405*b535 + 11832*b405*b536 + 650*
    b405*b537 + 1196*b405*b538 + 1768*b405*b539 + 4150*b405*b540 + 7636*b405*
    b541 + 11288*b405*b542 + 3450*b405*b543 + 6348*b405*b544 + 9384*b405*b545
     + 2800*b405*b546 + 5152*b405*b547 + 7616*b405*b548 + 3800*b405*b549 + 6992
    *b405*b550 + 10336*b405*b551 + 4200*b405*b552 + 7728*b405*b553 + 11424*b405
    *b554 + 4950*b405*b555 + 9108*b405*b556 + 13464*b405*b557 + 200*b405*b558
     + 368*b405*b559 + 544*b405*b560 + 2450*b405*b561 + 4508*b405*b562 + 6664*
    b405*b563 + 850*b405*b564 + 1564*b405*b565 + 2312*b405*b566 + 3000*b405*
    b567 + 5520*b405*b568 + 8160*b405*b569 + 2450*b405*b570 + 4508*b405*b571 + 
    6664*b405*b572 + 800*b405*b573 + 1472*b405*b574 + 2176*b405*b575 + 2750*
    b405*b576 + 5060*b405*b577 + 7480*b405*b578 + 4550*b405*b579 + 8372*b405*
    b580 + 12376*b405*b581 + 200*b405*b585 + 368*b405*b586 + 544*b405*b587 + 
    200*b405*b588 + 368*b405*b589 + 544*b405*b590 + 1750*b405*b591 + 3220*b405*
    b592 + 4760*b405*b593 + 2400*b405*b594 + 4416*b405*b595 + 6528*b405*b596 + 
    1450*b405*b597 + 2668*b405*b598 + 3944*b405*b599 + 11218*b405*b600 + 5530*
    b405*b601 + 6478*b405*b602 + 14378*b405*b603 + 8848*b405*b604 + 3476*b405*
    b606 + 9006*b405*b607 + 9954*b405*b608 + 948*b405*b609 + 9796*b405*b611 + 
    6478*b405*b612 + 9796*b405*b613 + 7268*b405*b614 + 3950*b405*b615 + 11850*
    b405*b616 + 12008*b405*b617 + 6320*b405*b618 + 10428*b405*b619 + 9164*b405*
    b620 + 4740*b405*b621 + 10744*b405*b622 + 4108*b405*b623 + 4500*b405*b624
     + 8280*b405*b625 + 12240*b405*b626 + 552*b406*b421 + 64*b406*b422 + 88*
    b406*b423 + 120*b406*b424 + 104*b406*b425 + 16*b406*b426 + 176*b406*b427 + 
    624*b406*b429 + 728*b406*b430 + 104*b406*b431 + 472*b406*b432 + 392*b406*
    b433 + 680*b406*b434 + 672*b406*b435 + 304*b406*b436 + 328*b406*b437 + 448*
    b406*b438 + 312*b406*b439 + 424*b406*b440 + 616*b406*b441 + 400*b406*b442
     + 552*b406*b443 + 64*b406*b444 + 88*b406*b445 + 120*b406*b446 + 104*b406*
    b447 + 16*b406*b448 + 176*b406*b449 + 624*b406*b451 + 728*b406*b452 + 104*
    b406*b453 + 472*b406*b454 + 392*b406*b455 + 680*b406*b456 + 672*b406*b457
     + 304*b406*b458 + 328*b406*b459 + 448*b406*b460 + 312*b406*b461 + 424*b406
    *b462 + 616*b406*b463 + 400*b406*b464 + 4830*b406*b465 + 560*b406*b466 + 
    770*b406*b467 + 1050*b406*b468 + 910*b406*b469 + 140*b406*b470 + 1540*b406*
    b471 + 5460*b406*b473 + 6370*b406*b474 + 910*b406*b475 + 4130*b406*b476 + 
    3430*b406*b477 + 5950*b406*b478 + 5880*b406*b479 + 2660*b406*b480 + 2870*
    b406*b481 + 3920*b406*b482 + 2730*b406*b483 + 3710*b406*b484 + 5390*b406*
    b485 + 3500*b406*b486 + 6624*b406*b487 + 768*b406*b488 + 1056*b406*b489 + 
    1440*b406*b490 + 1248*b406*b491 + 192*b406*b492 + 2112*b406*b493 + 7488*
    b406*b495 + 8736*b406*b496 + 1248*b406*b497 + 5664*b406*b498 + 4704*b406*
    b499 + 8160*b406*b500 + 8064*b406*b501 + 3648*b406*b502 + 3936*b406*b503 + 
    5376*b406*b504 + 3744*b406*b505 + 5088*b406*b506 + 7392*b406*b507 + 4800*
    b406*b508 + 4002*b406*b509 + 464*b406*b510 + 638*b406*b511 + 870*b406*b512
     + 754*b406*b513 + 116*b406*b514 + 1276*b406*b515 + 4524*b406*b517 + 5278*
    b406*b518 + 754*b406*b519 + 3422*b406*b520 + 2842*b406*b521 + 4930*b406*
    b522 + 4872*b406*b523 + 2204*b406*b524 + 2378*b406*b525 + 3248*b406*b526 + 
    2262*b406*b527 + 3074*b406*b528 + 4466*b406*b529 + 2900*b406*b530 + 1300*
    b406*b531 + 1040*b406*b532 + 3900*b406*b533 + 1740*b406*b534 + 1392*b406*
    b535 + 5220*b406*b536 + 260*b406*b537 + 208*b406*b538 + 780*b406*b539 + 
    1660*b406*b540 + 1328*b406*b541 + 4980*b406*b542 + 1380*b406*b543 + 1104*
    b406*b544 + 4140*b406*b545 + 1120*b406*b546 + 896*b406*b547 + 3360*b406*
    b548 + 1520*b406*b549 + 1216*b406*b550 + 4560*b406*b551 + 1680*b406*b552 + 
    1344*b406*b553 + 5040*b406*b554 + 1980*b406*b555 + 1584*b406*b556 + 5940*
    b406*b557 + 80*b406*b558 + 64*b406*b559 + 240*b406*b560 + 980*b406*b561 + 
    784*b406*b562 + 2940*b406*b563 + 340*b406*b564 + 272*b406*b565 + 1020*b406*
    b566 + 1200*b406*b567 + 960*b406*b568 + 3600*b406*b569 + 980*b406*b570 + 
    784*b406*b571 + 2940*b406*b572 + 320*b406*b573 + 256*b406*b574 + 960*b406*
    b575 + 1100*b406*b576 + 880*b406*b577 + 3300*b406*b578 + 1820*b406*b579 + 
    1456*b406*b580 + 5460*b406*b581 + 80*b406*b585 + 64*b406*b586 + 240*b406*
    b587 + 80*b406*b588 + 64*b406*b589 + 240*b406*b590 + 700*b406*b591 + 560*
    b406*b592 + 2100*b406*b593 + 960*b406*b594 + 768*b406*b595 + 2880*b406*b596
     + 580*b406*b597 + 464*b406*b598 + 1740*b406*b599 + 1264*b406*b600 + 1738*
    b406*b601 + 2370*b406*b602 + 2054*b406*b603 + 316*b406*b604 + 3476*b406*
    b605 + 12324*b406*b607 + 14378*b406*b608 + 2054*b406*b609 + 9322*b406*b610
     + 7742*b406*b611 + 13430*b406*b612 + 13272*b406*b613 + 1264*b406*b614 + 
    6004*b406*b615 + 6478*b406*b616 + 8848*b406*b617 + 6162*b406*b618 + 8374*
    b406*b619 + 12166*b406*b620 + 7900*b406*b621 + 4740*b406*b622 + 10902*b406*
    b623 + 1800*b406*b624 + 1440*b406*b625 + 5400*b406*b626 + 448*b407*b421 + 
    616*b407*b422 + 160*b407*b423 + 664*b407*b424 + 232*b407*b425 + 480*b407*
    b426 + 456*b407*b427 + 624*b407*b428 + 464*b407*b430 + 440*b407*b431 + 152*
    b407*b432 + 680*b407*b433 + 416*b407*b434 + 272*b407*b435 + 320*b407*b436
     + 552*b407*b437 + 96*b407*b438 + 680*b407*b439 + 576*b407*b440 + 56*b407*
    b441 + 392*b407*b442 + 448*b407*b443 + 616*b407*b444 + 160*b407*b445 + 664*
    b407*b446 + 232*b407*b447 + 480*b407*b448 + 456*b407*b449 + 624*b407*b450
     + 464*b407*b452 + 440*b407*b453 + 152*b407*b454 + 680*b407*b455 + 416*b407
    *b456 + 272*b407*b457 + 320*b407*b458 + 552*b407*b459 + 96*b407*b460 + 680*
    b407*b461 + 576*b407*b462 + 56*b407*b463 + 392*b407*b464 + 3920*b407*b465
     + 5390*b407*b466 + 1400*b407*b467 + 5810*b407*b468 + 2030*b407*b469 + 4200
    *b407*b470 + 3990*b407*b471 + 5460*b407*b472 + 4060*b407*b474 + 3850*b407*
    b475 + 1330*b407*b476 + 5950*b407*b477 + 3640*b407*b478 + 2380*b407*b479 + 
    2800*b407*b480 + 4830*b407*b481 + 840*b407*b482 + 5950*b407*b483 + 5040*
    b407*b484 + 490*b407*b485 + 3430*b407*b486 + 5376*b407*b487 + 7392*b407*
    b488 + 1920*b407*b489 + 7968*b407*b490 + 2784*b407*b491 + 5760*b407*b492 + 
    5472*b407*b493 + 7488*b407*b494 + 5568*b407*b496 + 5280*b407*b497 + 1824*
    b407*b498 + 8160*b407*b499 + 4992*b407*b500 + 3264*b407*b501 + 3840*b407*
    b502 + 6624*b407*b503 + 1152*b407*b504 + 8160*b407*b505 + 6912*b407*b506 + 
    672*b407*b507 + 4704*b407*b508 + 3248*b407*b509 + 4466*b407*b510 + 1160*
    b407*b511 + 4814*b407*b512 + 1682*b407*b513 + 3480*b407*b514 + 3306*b407*
    b515 + 4524*b407*b516 + 3364*b407*b518 + 3190*b407*b519 + 1102*b407*b520 + 
    4930*b407*b521 + 3016*b407*b522 + 1972*b407*b523 + 2320*b407*b524 + 4002*
    b407*b525 + 696*b407*b526 + 4930*b407*b527 + 4176*b407*b528 + 406*b407*b529
     + 2842*b407*b530 + 520*b407*b531 + 6890*b407*b532 + 5980*b407*b533 + 696*
    b407*b534 + 9222*b407*b535 + 8004*b407*b536 + 104*b407*b537 + 1378*b407*
    b538 + 1196*b407*b539 + 664*b407*b540 + 8798*b407*b541 + 7636*b407*b542 + 
    552*b407*b543 + 7314*b407*b544 + 6348*b407*b545 + 448*b407*b546 + 5936*b407
    *b547 + 5152*b407*b548 + 608*b407*b549 + 8056*b407*b550 + 6992*b407*b551 + 
    672*b407*b552 + 8904*b407*b553 + 7728*b407*b554 + 792*b407*b555 + 10494*
    b407*b556 + 9108*b407*b557 + 32*b407*b558 + 424*b407*b559 + 368*b407*b560
     + 392*b407*b561 + 5194*b407*b562 + 4508*b407*b563 + 136*b407*b564 + 1802*
    b407*b565 + 1564*b407*b566 + 480*b407*b567 + 6360*b407*b568 + 5520*b407*
    b569 + 392*b407*b570 + 5194*b407*b571 + 4508*b407*b572 + 128*b407*b573 + 
    1696*b407*b574 + 1472*b407*b575 + 440*b407*b576 + 5830*b407*b577 + 5060*
    b407*b578 + 728*b407*b579 + 9646*b407*b580 + 8372*b407*b581 + 32*b407*b585
     + 424*b407*b586 + 368*b407*b587 + 32*b407*b588 + 424*b407*b589 + 368*b407*
    b590 + 280*b407*b591 + 3710*b407*b592 + 3220*b407*b593 + 384*b407*b594 + 
    5088*b407*b595 + 4416*b407*b596 + 232*b407*b597 + 3074*b407*b598 + 2668*
    b407*b599 + 12166*b407*b600 + 3160*b407*b601 + 13114*b407*b602 + 4582*b407*
    b603 + 9480*b407*b604 + 9006*b407*b605 + 12324*b407*b606 + 9164*b407*b608
     + 8690*b407*b609 + 3002*b407*b610 + 13430*b407*b611 + 8216*b407*b612 + 
    5372*b407*b613 + 8374*b407*b614 + 6320*b407*b615 + 10902*b407*b616 + 1896*
    b407*b617 + 13430*b407*b618 + 11376*b407*b619 + 1106*b407*b620 + 7742*b407*
    b621 + 7268*b407*b622 + 8848*b407*b623 + 720*b407*b624 + 9540*b407*b625 + 
    8280*b407*b626 + 688*b408*b421 + 592*b408*b422 + 168*b408*b423 + 768*b408*
    b424 + 88*b408*b425 + 576*b408*b426 + 504*b408*b427 + 728*b408*b428 + 464*
    b408*b429 + 696*b408*b431 + 464*b408*b432 + 136*b408*b433 + 544*b408*b434
     + 216*b408*b435 + 48*b408*b436 + 536*b408*b437 + 208*b408*b438 + 656*b408*
    b439 + 352*b408*b440 + 280*b408*b441 + 24*b408*b442 + 688*b408*b443 + 592*
    b408*b444 + 168*b408*b445 + 768*b408*b446 + 88*b408*b447 + 576*b408*b448 + 
    504*b408*b449 + 728*b408*b450 + 464*b408*b451 + 696*b408*b453 + 464*b408*
    b454 + 136*b408*b455 + 544*b408*b456 + 216*b408*b457 + 48*b408*b458 + 536*
    b408*b459 + 208*b408*b460 + 656*b408*b461 + 352*b408*b462 + 280*b408*b463
     + 24*b408*b464 + 6020*b408*b465 + 5180*b408*b466 + 1470*b408*b467 + 6720*
    b408*b468 + 770*b408*b469 + 5040*b408*b470 + 4410*b408*b471 + 6370*b408*
    b472 + 4060*b408*b473 + 6090*b408*b475 + 4060*b408*b476 + 1190*b408*b477 + 
    4760*b408*b478 + 1890*b408*b479 + 420*b408*b480 + 4690*b408*b481 + 1820*
    b408*b482 + 5740*b408*b483 + 3080*b408*b484 + 2450*b408*b485 + 210*b408*
    b486 + 8256*b408*b487 + 7104*b408*b488 + 2016*b408*b489 + 9216*b408*b490 + 
    1056*b408*b491 + 6912*b408*b492 + 6048*b408*b493 + 8736*b408*b494 + 5568*
    b408*b495 + 8352*b408*b497 + 5568*b408*b498 + 1632*b408*b499 + 6528*b408*
    b500 + 2592*b408*b501 + 576*b408*b502 + 6432*b408*b503 + 2496*b408*b504 + 
    7872*b408*b505 + 4224*b408*b506 + 3360*b408*b507 + 288*b408*b508 + 4988*
    b408*b509 + 4292*b408*b510 + 1218*b408*b511 + 5568*b408*b512 + 638*b408*
    b513 + 4176*b408*b514 + 3654*b408*b515 + 5278*b408*b516 + 3364*b408*b517 + 
    5046*b408*b519 + 3364*b408*b520 + 986*b408*b521 + 3944*b408*b522 + 1566*
    b408*b523 + 348*b408*b524 + 3886*b408*b525 + 1508*b408*b526 + 4756*b408*
    b527 + 2552*b408*b528 + 2030*b408*b529 + 174*b408*b530 + 8190*b408*b531 + 
    2730*b408*b532 + 8060*b408*b533 + 10962*b408*b534 + 3654*b408*b535 + 10788*
    b408*b536 + 1638*b408*b537 + 546*b408*b538 + 1612*b408*b539 + 10458*b408*
    b540 + 3486*b408*b541 + 10292*b408*b542 + 8694*b408*b543 + 2898*b408*b544
     + 8556*b408*b545 + 7056*b408*b546 + 2352*b408*b547 + 6944*b408*b548 + 9576
    *b408*b549 + 3192*b408*b550 + 9424*b408*b551 + 10584*b408*b552 + 3528*b408*
    b553 + 10416*b408*b554 + 12474*b408*b555 + 4158*b408*b556 + 12276*b408*b557
     + 504*b408*b558 + 168*b408*b559 + 496*b408*b560 + 6174*b408*b561 + 2058*
    b408*b562 + 6076*b408*b563 + 2142*b408*b564 + 714*b408*b565 + 2108*b408*
    b566 + 7560*b408*b567 + 2520*b408*b568 + 7440*b408*b569 + 6174*b408*b570 + 
    2058*b408*b571 + 6076*b408*b572 + 2016*b408*b573 + 672*b408*b574 + 1984*
    b408*b575 + 6930*b408*b576 + 2310*b408*b577 + 6820*b408*b578 + 11466*b408*
    b579 + 3822*b408*b580 + 11284*b408*b581 + 504*b408*b585 + 168*b408*b586 + 
    496*b408*b587 + 504*b408*b588 + 168*b408*b589 + 496*b408*b590 + 4410*b408*
    b591 + 1470*b408*b592 + 4340*b408*b593 + 6048*b408*b594 + 2016*b408*b595 + 
    5952*b408*b596 + 3654*b408*b597 + 1218*b408*b598 + 3596*b408*b599 + 11692*
    b408*b600 + 3318*b408*b601 + 15168*b408*b602 + 1738*b408*b603 + 11376*b408*
    b604 + 9954*b408*b605 + 14378*b408*b606 + 9164*b408*b607 + 13746*b408*b609
     + 9164*b408*b610 + 2686*b408*b611 + 10744*b408*b612 + 4266*b408*b613 + 
    3318*b408*b614 + 948*b408*b615 + 10586*b408*b616 + 4108*b408*b617 + 12956*
    b408*b618 + 6952*b408*b619 + 5530*b408*b620 + 474*b408*b621 + 9796*b408*
    b622 + 13588*b408*b623 + 11340*b408*b624 + 3780*b408*b625 + 11160*b408*b626
     + 360*b409*b421 + 240*b409*b422 + 488*b409*b423 + 592*b409*b424 + 616*b409
    *b425 + 592*b409*b426 + 48*b409*b427 + 104*b409*b428 + 440*b409*b429 + 696*
    b409*b430 + 64*b409*b432 + 408*b409*b433 + 8*b409*b434 + 728*b409*b435 + 
    696*b409*b436 + 576*b409*b437 + 360*b409*b438 + 768*b409*b439 + 56*b409*
    b440 + 696*b409*b441 + 544*b409*b442 + 360*b409*b443 + 240*b409*b444 + 488*
    b409*b445 + 592*b409*b446 + 616*b409*b447 + 592*b409*b448 + 48*b409*b449 + 
    104*b409*b450 + 440*b409*b451 + 696*b409*b452 + 64*b409*b454 + 408*b409*
    b455 + 8*b409*b456 + 728*b409*b457 + 696*b409*b458 + 576*b409*b459 + 360*
    b409*b460 + 768*b409*b461 + 56*b409*b462 + 696*b409*b463 + 544*b409*b464 + 
    3150*b409*b465 + 2100*b409*b466 + 4270*b409*b467 + 5180*b409*b468 + 5390*
    b409*b469 + 5180*b409*b470 + 420*b409*b471 + 910*b409*b472 + 3850*b409*b473
     + 6090*b409*b474 + 560*b409*b476 + 3570*b409*b477 + 70*b409*b478 + 6370*
    b409*b479 + 6090*b409*b480 + 5040*b409*b481 + 3150*b409*b482 + 6720*b409*
    b483 + 490*b409*b484 + 6090*b409*b485 + 4760*b409*b486 + 4320*b409*b487 + 
    2880*b409*b488 + 5856*b409*b489 + 7104*b409*b490 + 7392*b409*b491 + 7104*
    b409*b492 + 576*b409*b493 + 1248*b409*b494 + 5280*b409*b495 + 8352*b409*
    b496 + 768*b409*b498 + 4896*b409*b499 + 96*b409*b500 + 8736*b409*b501 + 
    8352*b409*b502 + 6912*b409*b503 + 4320*b409*b504 + 9216*b409*b505 + 672*
    b409*b506 + 8352*b409*b507 + 6528*b409*b508 + 2610*b409*b509 + 1740*b409*
    b510 + 3538*b409*b511 + 4292*b409*b512 + 4466*b409*b513 + 4292*b409*b514 + 
    348*b409*b515 + 754*b409*b516 + 3190*b409*b517 + 5046*b409*b518 + 464*b409*
    b520 + 2958*b409*b521 + 58*b409*b522 + 5278*b409*b523 + 5046*b409*b524 + 
    4176*b409*b525 + 2610*b409*b526 + 5568*b409*b527 + 406*b409*b528 + 5046*
    b409*b529 + 3944*b409*b530 + 780*b409*b531 + 5070*b409*b532 + 4290*b409*
    b533 + 1044*b409*b534 + 6786*b409*b535 + 5742*b409*b536 + 156*b409*b537 + 
    1014*b409*b538 + 858*b409*b539 + 996*b409*b540 + 6474*b409*b541 + 5478*b409
    *b542 + 828*b409*b543 + 5382*b409*b544 + 4554*b409*b545 + 672*b409*b546 + 
    4368*b409*b547 + 3696*b409*b548 + 912*b409*b549 + 5928*b409*b550 + 5016*
    b409*b551 + 1008*b409*b552 + 6552*b409*b553 + 5544*b409*b554 + 1188*b409*
    b555 + 7722*b409*b556 + 6534*b409*b557 + 48*b409*b558 + 312*b409*b559 + 264
    *b409*b560 + 588*b409*b561 + 3822*b409*b562 + 3234*b409*b563 + 204*b409*
    b564 + 1326*b409*b565 + 1122*b409*b566 + 720*b409*b567 + 4680*b409*b568 + 
    3960*b409*b569 + 588*b409*b570 + 3822*b409*b571 + 3234*b409*b572 + 192*b409
    *b573 + 1248*b409*b574 + 1056*b409*b575 + 660*b409*b576 + 4290*b409*b577 + 
    3630*b409*b578 + 1092*b409*b579 + 7098*b409*b580 + 6006*b409*b581 + 48*b409
    *b585 + 312*b409*b586 + 264*b409*b587 + 48*b409*b588 + 312*b409*b589 + 264*
    b409*b590 + 420*b409*b591 + 2730*b409*b592 + 2310*b409*b593 + 576*b409*b594
     + 3744*b409*b595 + 3168*b409*b596 + 348*b409*b597 + 2262*b409*b598 + 1914*
    b409*b599 + 4740*b409*b600 + 9638*b409*b601 + 11692*b409*b602 + 12166*b409*
    b603 + 11692*b409*b604 + 948*b409*b605 + 2054*b409*b606 + 8690*b409*b607 + 
    13746*b409*b608 + 1264*b409*b610 + 8058*b409*b611 + 158*b409*b612 + 14378*
    b409*b613 + 6162*b409*b614 + 13746*b409*b615 + 11376*b409*b616 + 7110*b409*
    b617 + 15168*b409*b618 + 1106*b409*b619 + 13746*b409*b620 + 10744*b409*b621
     + 5214*b409*b622 + 7110*b409*b623 + 1080*b409*b624 + 7020*b409*b625 + 5940
    *b409*b626 + 728*b410*b421 + 712*b410*b422 + 640*b410*b423 + 360*b410*b424
     + 256*b410*b425 + 368*b410*b426 + 472*b410*b428 + 152*b410*b429 + 464*b410
    *b430 + 64*b410*b431 + 24*b410*b433 + 168*b410*b434 + 720*b410*b435 + 376*
    b410*b436 + 200*b410*b437 + 240*b410*b438 + 344*b410*b439 + 776*b410*b440
     + 264*b410*b441 + 280*b410*b442 + 728*b410*b443 + 712*b410*b444 + 640*b410
    *b445 + 360*b410*b446 + 256*b410*b447 + 368*b410*b448 + 472*b410*b450 + 152
    *b410*b451 + 464*b410*b452 + 64*b410*b453 + 24*b410*b455 + 168*b410*b456 + 
    720*b410*b457 + 376*b410*b458 + 200*b410*b459 + 240*b410*b460 + 344*b410*
    b461 + 776*b410*b462 + 264*b410*b463 + 280*b410*b464 + 6370*b410*b465 + 
    6230*b410*b466 + 5600*b410*b467 + 3150*b410*b468 + 2240*b410*b469 + 3220*
    b410*b470 + 4130*b410*b472 + 1330*b410*b473 + 4060*b410*b474 + 560*b410*
    b475 + 210*b410*b477 + 1470*b410*b478 + 6300*b410*b479 + 3290*b410*b480 + 
    1750*b410*b481 + 2100*b410*b482 + 3010*b410*b483 + 6790*b410*b484 + 2310*
    b410*b485 + 2450*b410*b486 + 8736*b410*b487 + 8544*b410*b488 + 7680*b410*
    b489 + 4320*b410*b490 + 3072*b410*b491 + 4416*b410*b492 + 5664*b410*b494 + 
    1824*b410*b495 + 5568*b410*b496 + 768*b410*b497 + 288*b410*b499 + 2016*b410
    *b500 + 8640*b410*b501 + 4512*b410*b502 + 2400*b410*b503 + 2880*b410*b504
     + 4128*b410*b505 + 9312*b410*b506 + 3168*b410*b507 + 3360*b410*b508 + 5278
    *b410*b509 + 5162*b410*b510 + 4640*b410*b511 + 2610*b410*b512 + 1856*b410*
    b513 + 2668*b410*b514 + 3422*b410*b516 + 1102*b410*b517 + 3364*b410*b518 + 
    464*b410*b519 + 174*b410*b521 + 1218*b410*b522 + 5220*b410*b523 + 2726*b410
    *b524 + 1450*b410*b525 + 1740*b410*b526 + 2494*b410*b527 + 5626*b410*b528
     + 1914*b410*b529 + 2030*b410*b530 + 5720*b410*b531 + 5850*b410*b532 + 7930
    *b410*b533 + 7656*b410*b534 + 7830*b410*b535 + 10614*b410*b536 + 1144*b410*
    b537 + 1170*b410*b538 + 1586*b410*b539 + 7304*b410*b540 + 7470*b410*b541 + 
    10126*b410*b542 + 6072*b410*b543 + 6210*b410*b544 + 8418*b410*b545 + 4928*
    b410*b546 + 5040*b410*b547 + 6832*b410*b548 + 6688*b410*b549 + 6840*b410*
    b550 + 9272*b410*b551 + 7392*b410*b552 + 7560*b410*b553 + 10248*b410*b554
     + 8712*b410*b555 + 8910*b410*b556 + 12078*b410*b557 + 352*b410*b558 + 360*
    b410*b559 + 488*b410*b560 + 4312*b410*b561 + 4410*b410*b562 + 5978*b410*
    b563 + 1496*b410*b564 + 1530*b410*b565 + 2074*b410*b566 + 5280*b410*b567 + 
    5400*b410*b568 + 7320*b410*b569 + 4312*b410*b570 + 4410*b410*b571 + 5978*
    b410*b572 + 1408*b410*b573 + 1440*b410*b574 + 1952*b410*b575 + 4840*b410*
    b576 + 4950*b410*b577 + 6710*b410*b578 + 8008*b410*b579 + 8190*b410*b580 + 
    11102*b410*b581 + 352*b410*b585 + 360*b410*b586 + 488*b410*b587 + 352*b410*
    b588 + 360*b410*b589 + 488*b410*b590 + 3080*b410*b591 + 3150*b410*b592 + 
    4270*b410*b593 + 4224*b410*b594 + 4320*b410*b595 + 5856*b410*b596 + 2552*
    b410*b597 + 2610*b410*b598 + 3538*b410*b599 + 14062*b410*b600 + 12640*b410*
    b601 + 7110*b410*b602 + 5056*b410*b603 + 7268*b410*b604 + 9322*b410*b606 + 
    3002*b410*b607 + 9164*b410*b608 + 1264*b410*b609 + 474*b410*b611 + 3318*
    b410*b612 + 14220*b410*b613 + 7110*b410*b614 + 7426*b410*b615 + 3950*b410*
    b616 + 4740*b410*b617 + 6794*b410*b618 + 15326*b410*b619 + 5214*b410*b620
     + 5530*b410*b621 + 9638*b410*b622 + 14378*b410*b623 + 7920*b410*b624 + 
    8100*b410*b625 + 10980*b410*b626 + 472*b411*b421 + 608*b411*b422 + 464*b411
    *b423 + 520*b411*b424 + 696*b411*b425 + 104*b411*b426 + 496*b411*b427 + 392
    *b411*b428 + 680*b411*b429 + 136*b411*b430 + 408*b411*b431 + 24*b411*b432
     + 336*b411*b434 + 288*b411*b435 + 56*b411*b436 + 672*b411*b437 + 48*b411*
    b438 + 384*b411*b441 + 496*b411*b442 + 472*b411*b443 + 608*b411*b444 + 464*
    b411*b445 + 520*b411*b446 + 696*b411*b447 + 104*b411*b448 + 496*b411*b449
     + 392*b411*b450 + 680*b411*b451 + 136*b411*b452 + 408*b411*b453 + 24*b411*
    b454 + 336*b411*b456 + 288*b411*b457 + 56*b411*b458 + 672*b411*b459 + 48*
    b411*b460 + 384*b411*b463 + 496*b411*b464 + 4130*b411*b465 + 5320*b411*b466
     + 4060*b411*b467 + 4550*b411*b468 + 6090*b411*b469 + 910*b411*b470 + 4340*
    b411*b471 + 3430*b411*b472 + 5950*b411*b473 + 1190*b411*b474 + 3570*b411*
    b475 + 210*b411*b476 + 2940*b411*b478 + 2520*b411*b479 + 490*b411*b480 + 
    5880*b411*b481 + 420*b411*b482 + 3360*b411*b485 + 4340*b411*b486 + 5664*
    b411*b487 + 7296*b411*b488 + 5568*b411*b489 + 6240*b411*b490 + 8352*b411*
    b491 + 1248*b411*b492 + 5952*b411*b493 + 4704*b411*b494 + 8160*b411*b495 + 
    1632*b411*b496 + 4896*b411*b497 + 288*b411*b498 + 4032*b411*b500 + 3456*
    b411*b501 + 672*b411*b502 + 8064*b411*b503 + 576*b411*b504 + 4608*b411*b507
     + 5952*b411*b508 + 3422*b411*b509 + 4408*b411*b510 + 3364*b411*b511 + 3770
    *b411*b512 + 5046*b411*b513 + 754*b411*b514 + 3596*b411*b515 + 2842*b411*
    b516 + 4930*b411*b517 + 986*b411*b518 + 2958*b411*b519 + 174*b411*b520 + 
    2436*b411*b522 + 2088*b411*b523 + 406*b411*b524 + 4872*b411*b525 + 348*b411
    *b526 + 2784*b411*b529 + 3596*b411*b530 + 5200*b411*b531 + 5590*b411*b532
     + 7670*b411*b533 + 6960*b411*b534 + 7482*b411*b535 + 10266*b411*b536 + 
    1040*b411*b537 + 1118*b411*b538 + 1534*b411*b539 + 6640*b411*b540 + 7138*
    b411*b541 + 9794*b411*b542 + 5520*b411*b543 + 5934*b411*b544 + 8142*b411*
    b545 + 4480*b411*b546 + 4816*b411*b547 + 6608*b411*b548 + 6080*b411*b549 + 
    6536*b411*b550 + 8968*b411*b551 + 6720*b411*b552 + 7224*b411*b553 + 9912*
    b411*b554 + 7920*b411*b555 + 8514*b411*b556 + 11682*b411*b557 + 320*b411*
    b558 + 344*b411*b559 + 472*b411*b560 + 3920*b411*b561 + 4214*b411*b562 + 
    5782*b411*b563 + 1360*b411*b564 + 1462*b411*b565 + 2006*b411*b566 + 4800*
    b411*b567 + 5160*b411*b568 + 7080*b411*b569 + 3920*b411*b570 + 4214*b411*
    b571 + 5782*b411*b572 + 1280*b411*b573 + 1376*b411*b574 + 1888*b411*b575 + 
    4400*b411*b576 + 4730*b411*b577 + 6490*b411*b578 + 7280*b411*b579 + 7826*
    b411*b580 + 10738*b411*b581 + 320*b411*b585 + 344*b411*b586 + 472*b411*b587
     + 320*b411*b588 + 344*b411*b589 + 472*b411*b590 + 2800*b411*b591 + 3010*
    b411*b592 + 4130*b411*b593 + 3840*b411*b594 + 4128*b411*b595 + 5664*b411*
    b596 + 2320*b411*b597 + 2494*b411*b598 + 3422*b411*b599 + 12008*b411*b600
     + 9164*b411*b601 + 10270*b411*b602 + 13746*b411*b603 + 2054*b411*b604 + 
    9796*b411*b605 + 7742*b411*b606 + 13430*b411*b607 + 2686*b411*b608 + 8058*
    b411*b609 + 474*b411*b610 + 6636*b411*b612 + 5688*b411*b613 + 6794*b411*
    b614 + 1106*b411*b615 + 13272*b411*b616 + 948*b411*b617 + 7584*b411*b620 + 
    9796*b411*b621 + 9322*b411*b622 + 9322*b411*b623 + 7200*b411*b624 + 7740*
    b411*b625 + 10620*b411*b626 + 144*b412*b421 + 608*b412*b422 + 168*b412*b423
     + 320*b412*b424 + 536*b412*b425 + 160*b412*b426 + 328*b412*b427 + 680*b412
    *b428 + 416*b412*b429 + 544*b412*b430 + 8*b412*b431 + 168*b412*b432 + 336*
    b412*b433 + 232*b412*b435 + 656*b412*b436 + 232*b412*b437 + 24*b412*b438 + 
    24*b412*b439 + 408*b412*b440 + 536*b412*b441 + 312*b412*b442 + 144*b412*
    b443 + 608*b412*b444 + 168*b412*b445 + 320*b412*b446 + 536*b412*b447 + 160*
    b412*b448 + 328*b412*b449 + 680*b412*b450 + 416*b412*b451 + 544*b412*b452
     + 8*b412*b453 + 168*b412*b454 + 336*b412*b455 + 232*b412*b457 + 656*b412*
    b458 + 232*b412*b459 + 24*b412*b460 + 24*b412*b461 + 408*b412*b462 + 536*
    b412*b463 + 312*b412*b464 + 1260*b412*b465 + 5320*b412*b466 + 1470*b412*
    b467 + 2800*b412*b468 + 4690*b412*b469 + 1400*b412*b470 + 2870*b412*b471 + 
    5950*b412*b472 + 3640*b412*b473 + 4760*b412*b474 + 70*b412*b475 + 1470*b412
    *b476 + 2940*b412*b477 + 2030*b412*b479 + 5740*b412*b480 + 2030*b412*b481
     + 210*b412*b482 + 210*b412*b483 + 3570*b412*b484 + 4690*b412*b485 + 2730*
    b412*b486 + 1728*b412*b487 + 7296*b412*b488 + 2016*b412*b489 + 3840*b412*
    b490 + 6432*b412*b491 + 1920*b412*b492 + 3936*b412*b493 + 8160*b412*b494 + 
    4992*b412*b495 + 6528*b412*b496 + 96*b412*b497 + 2016*b412*b498 + 4032*b412
    *b499 + 2784*b412*b501 + 7872*b412*b502 + 2784*b412*b503 + 288*b412*b504 + 
    288*b412*b505 + 4896*b412*b506 + 6432*b412*b507 + 3744*b412*b508 + 1044*
    b412*b509 + 4408*b412*b510 + 1218*b412*b511 + 2320*b412*b512 + 3886*b412*
    b513 + 1160*b412*b514 + 2378*b412*b515 + 4930*b412*b516 + 3016*b412*b517 + 
    3944*b412*b518 + 58*b412*b519 + 1218*b412*b520 + 2436*b412*b521 + 1682*b412
    *b523 + 4756*b412*b524 + 1682*b412*b525 + 174*b412*b526 + 174*b412*b527 + 
    2958*b412*b528 + 3886*b412*b529 + 2262*b412*b530 + 9750*b412*b531 + 12220*
    b412*b532 + 1950*b412*b533 + 13050*b412*b534 + 16356*b412*b535 + 2610*b412*
    b536 + 1950*b412*b537 + 2444*b412*b538 + 390*b412*b539 + 12450*b412*b540 + 
    15604*b412*b541 + 2490*b412*b542 + 10350*b412*b543 + 12972*b412*b544 + 2070
    *b412*b545 + 8400*b412*b546 + 10528*b412*b547 + 1680*b412*b548 + 11400*b412
    *b549 + 14288*b412*b550 + 2280*b412*b551 + 12600*b412*b552 + 15792*b412*
    b553 + 2520*b412*b554 + 14850*b412*b555 + 18612*b412*b556 + 2970*b412*b557
     + 600*b412*b558 + 752*b412*b559 + 120*b412*b560 + 7350*b412*b561 + 9212*
    b412*b562 + 1470*b412*b563 + 2550*b412*b564 + 3196*b412*b565 + 510*b412*
    b566 + 9000*b412*b567 + 11280*b412*b568 + 1800*b412*b569 + 7350*b412*b570
     + 9212*b412*b571 + 1470*b412*b572 + 2400*b412*b573 + 3008*b412*b574 + 480*
    b412*b575 + 8250*b412*b576 + 10340*b412*b577 + 1650*b412*b578 + 13650*b412*
    b579 + 17108*b412*b580 + 2730*b412*b581 + 600*b412*b585 + 752*b412*b586 + 
    120*b412*b587 + 600*b412*b588 + 752*b412*b589 + 120*b412*b590 + 5250*b412*
    b591 + 6580*b412*b592 + 1050*b412*b593 + 7200*b412*b594 + 9024*b412*b595 + 
    1440*b412*b596 + 4350*b412*b597 + 5452*b412*b598 + 870*b412*b599 + 12008*
    b412*b600 + 3318*b412*b601 + 6320*b412*b602 + 10586*b412*b603 + 3160*b412*
    b604 + 6478*b412*b605 + 13430*b412*b606 + 8216*b412*b607 + 10744*b412*b608
     + 158*b412*b609 + 3318*b412*b610 + 6636*b412*b611 + 4582*b412*b613 + 14852
    *b412*b614 + 12956*b412*b615 + 4582*b412*b616 + 474*b412*b617 + 474*b412*
    b618 + 8058*b412*b619 + 10586*b412*b620 + 6162*b412*b621 + 2370*b412*b622
     + 2844*b412*b623 + 13500*b412*b624 + 16920*b412*b625 + 2700*b412*b626 + 
    608*b413*b421 + 320*b413*b422 + 608*b413*b423 + 432*b413*b424 + 752*b413*
    b425 + 688*b413*b426 + 496*b413*b427 + 672*b413*b428 + 272*b413*b429 + 216*
    b413*b430 + 728*b413*b431 + 720*b413*b432 + 288*b413*b433 + 232*b413*b434
     + 336*b413*b436 + 184*b413*b437 + 496*b413*b438 + 496*b413*b439 + 224*b413
    *b440 + 608*b413*b441 + 528*b413*b442 + 608*b413*b443 + 320*b413*b444 + 608
    *b413*b445 + 432*b413*b446 + 752*b413*b447 + 688*b413*b448 + 496*b413*b449
     + 672*b413*b450 + 272*b413*b451 + 216*b413*b452 + 728*b413*b453 + 720*b413
    *b454 + 288*b413*b455 + 232*b413*b456 + 336*b413*b458 + 184*b413*b459 + 496
    *b413*b460 + 496*b413*b461 + 224*b413*b462 + 608*b413*b463 + 528*b413*b464
     + 5320*b413*b465 + 2800*b413*b466 + 5320*b413*b467 + 3780*b413*b468 + 6580
    *b413*b469 + 6020*b413*b470 + 4340*b413*b471 + 5880*b413*b472 + 2380*b413*
    b473 + 1890*b413*b474 + 6370*b413*b475 + 6300*b413*b476 + 2520*b413*b477 + 
    2030*b413*b478 + 2940*b413*b480 + 1610*b413*b481 + 4340*b413*b482 + 4340*
    b413*b483 + 1960*b413*b484 + 5320*b413*b485 + 4620*b413*b486 + 7296*b413*
    b487 + 3840*b413*b488 + 7296*b413*b489 + 5184*b413*b490 + 9024*b413*b491 + 
    8256*b413*b492 + 5952*b413*b493 + 8064*b413*b494 + 3264*b413*b495 + 2592*
    b413*b496 + 8736*b413*b497 + 8640*b413*b498 + 3456*b413*b499 + 2784*b413*
    b500 + 4032*b413*b502 + 2208*b413*b503 + 5952*b413*b504 + 5952*b413*b505 + 
    2688*b413*b506 + 7296*b413*b507 + 6336*b413*b508 + 4408*b413*b509 + 2320*
    b413*b510 + 4408*b413*b511 + 3132*b413*b512 + 5452*b413*b513 + 4988*b413*
    b514 + 3596*b413*b515 + 4872*b413*b516 + 1972*b413*b517 + 1566*b413*b518 + 
    5278*b413*b519 + 5220*b413*b520 + 2088*b413*b521 + 1682*b413*b522 + 2436*
    b413*b524 + 1334*b413*b525 + 3596*b413*b526 + 3596*b413*b527 + 1624*b413*
    b528 + 4408*b413*b529 + 3828*b413*b530 + 10270*b413*b531 + 8580*b413*b532
     + 10660*b413*b533 + 13746*b413*b534 + 11484*b413*b535 + 14268*b413*b536 + 
    2054*b413*b537 + 1716*b413*b538 + 2132*b413*b539 + 13114*b413*b540 + 10956*
    b413*b541 + 13612*b413*b542 + 10902*b413*b543 + 9108*b413*b544 + 11316*b413
    *b545 + 8848*b413*b546 + 7392*b413*b547 + 9184*b413*b548 + 12008*b413*b549
     + 10032*b413*b550 + 12464*b413*b551 + 13272*b413*b552 + 11088*b413*b553 + 
    13776*b413*b554 + 15642*b413*b555 + 13068*b413*b556 + 16236*b413*b557 + 632
    *b413*b558 + 528*b413*b559 + 656*b413*b560 + 7742*b413*b561 + 6468*b413*
    b562 + 8036*b413*b563 + 2686*b413*b564 + 2244*b413*b565 + 2788*b413*b566 + 
    9480*b413*b567 + 7920*b413*b568 + 9840*b413*b569 + 7742*b413*b570 + 6468*
    b413*b571 + 8036*b413*b572 + 2528*b413*b573 + 2112*b413*b574 + 2624*b413*
    b575 + 8690*b413*b576 + 7260*b413*b577 + 9020*b413*b578 + 14378*b413*b579
     + 12012*b413*b580 + 14924*b413*b581 + 632*b413*b585 + 528*b413*b586 + 656*
    b413*b587 + 632*b413*b588 + 528*b413*b589 + 656*b413*b590 + 5530*b413*b591
     + 4620*b413*b592 + 5740*b413*b593 + 7584*b413*b594 + 6336*b413*b595 + 7872
    *b413*b596 + 4582*b413*b597 + 3828*b413*b598 + 4756*b413*b599 + 6320*b413*
    b600 + 12008*b413*b601 + 8532*b413*b602 + 14852*b413*b603 + 13588*b413*b604
     + 9796*b413*b605 + 13272*b413*b606 + 5372*b413*b607 + 4266*b413*b608 + 
    14378*b413*b609 + 14220*b413*b610 + 5688*b413*b611 + 4582*b413*b612 + 10428
    *b413*b614 + 6636*b413*b615 + 3634*b413*b616 + 9796*b413*b617 + 9796*b413*
    b618 + 4424*b413*b619 + 12008*b413*b620 + 10428*b413*b621 + 12956*b413*b622
     + 12008*b413*b623 + 14220*b413*b624 + 11880*b413*b625 + 14760*b413*b626 + 
    144*b414*b421 + 448*b414*b422 + 352*b414*b423 + 112*b414*b424 + 16*b414*
    b425 + 616*b414*b426 + 200*b414*b427 + 304*b414*b428 + 320*b414*b429 + 48*
    b414*b430 + 696*b414*b431 + 376*b414*b432 + 56*b414*b433 + 656*b414*b434 + 
    336*b414*b435 + 688*b414*b437 + 480*b414*b438 + 496*b414*b439 + 496*b414*
    b440 + 664*b414*b441 + 728*b414*b442 + 144*b414*b443 + 448*b414*b444 + 352*
    b414*b445 + 112*b414*b446 + 16*b414*b447 + 616*b414*b448 + 200*b414*b449 + 
    304*b414*b450 + 320*b414*b451 + 48*b414*b452 + 696*b414*b453 + 376*b414*
    b454 + 56*b414*b455 + 656*b414*b456 + 336*b414*b457 + 688*b414*b459 + 480*
    b414*b460 + 496*b414*b461 + 496*b414*b462 + 664*b414*b463 + 728*b414*b464
     + 1260*b414*b465 + 3920*b414*b466 + 3080*b414*b467 + 980*b414*b468 + 140*
    b414*b469 + 5390*b414*b470 + 1750*b414*b471 + 2660*b414*b472 + 2800*b414*
    b473 + 420*b414*b474 + 6090*b414*b475 + 3290*b414*b476 + 490*b414*b477 + 
    5740*b414*b478 + 2940*b414*b479 + 6020*b414*b481 + 4200*b414*b482 + 4340*
    b414*b483 + 4340*b414*b484 + 5810*b414*b485 + 6370*b414*b486 + 1728*b414*
    b487 + 5376*b414*b488 + 4224*b414*b489 + 1344*b414*b490 + 192*b414*b491 + 
    7392*b414*b492 + 2400*b414*b493 + 3648*b414*b494 + 3840*b414*b495 + 576*
    b414*b496 + 8352*b414*b497 + 4512*b414*b498 + 672*b414*b499 + 7872*b414*
    b500 + 4032*b414*b501 + 8256*b414*b503 + 5760*b414*b504 + 5952*b414*b505 + 
    5952*b414*b506 + 7968*b414*b507 + 8736*b414*b508 + 1044*b414*b509 + 3248*
    b414*b510 + 2552*b414*b511 + 812*b414*b512 + 116*b414*b513 + 4466*b414*b514
     + 1450*b414*b515 + 2204*b414*b516 + 2320*b414*b517 + 348*b414*b518 + 5046*
    b414*b519 + 2726*b414*b520 + 406*b414*b521 + 4756*b414*b522 + 2436*b414*
    b523 + 4988*b414*b525 + 3480*b414*b526 + 3596*b414*b527 + 3596*b414*b528 + 
    4814*b414*b529 + 5278*b414*b530 + 11570*b414*b531 + 12740*b414*b532 + 7410*
    b414*b533 + 15486*b414*b534 + 17052*b414*b535 + 9918*b414*b536 + 2314*b414*
    b537 + 2548*b414*b538 + 1482*b414*b539 + 14774*b414*b540 + 16268*b414*b541
     + 9462*b414*b542 + 12282*b414*b543 + 13524*b414*b544 + 7866*b414*b545 + 
    9968*b414*b546 + 10976*b414*b547 + 6384*b414*b548 + 13528*b414*b549 + 14896
    *b414*b550 + 8664*b414*b551 + 14952*b414*b552 + 16464*b414*b553 + 9576*b414
    *b554 + 17622*b414*b555 + 19404*b414*b556 + 11286*b414*b557 + 712*b414*b558
     + 784*b414*b559 + 456*b414*b560 + 8722*b414*b561 + 9604*b414*b562 + 5586*
    b414*b563 + 3026*b414*b564 + 3332*b414*b565 + 1938*b414*b566 + 10680*b414*
    b567 + 11760*b414*b568 + 6840*b414*b569 + 8722*b414*b570 + 9604*b414*b571
     + 5586*b414*b572 + 2848*b414*b573 + 3136*b414*b574 + 1824*b414*b575 + 9790
    *b414*b576 + 10780*b414*b577 + 6270*b414*b578 + 16198*b414*b579 + 17836*
    b414*b580 + 10374*b414*b581 + 712*b414*b585 + 784*b414*b586 + 456*b414*b587
     + 712*b414*b588 + 784*b414*b589 + 456*b414*b590 + 6230*b414*b591 + 6860*
    b414*b592 + 3990*b414*b593 + 8544*b414*b594 + 9408*b414*b595 + 5472*b414*
    b596 + 5162*b414*b597 + 5684*b414*b598 + 3306*b414*b599 + 8848*b414*b600 + 
    6952*b414*b601 + 2212*b414*b602 + 316*b414*b603 + 12166*b414*b604 + 3950*
    b414*b605 + 6004*b414*b606 + 6320*b414*b607 + 948*b414*b608 + 13746*b414*
    b609 + 7426*b414*b610 + 1106*b414*b611 + 12956*b414*b612 + 6636*b414*b613
     + 15484*b414*b614 + 13588*b414*b616 + 9480*b414*b617 + 9796*b414*b618 + 
    9796*b414*b619 + 13114*b414*b620 + 14378*b414*b621 + 9006*b414*b622 + 2844*
    b414*b623 + 16020*b414*b624 + 17640*b414*b625 + 10260*b414*b626 + 456*b415*
    b421 + 8*b415*b422 + 680*b415*b423 + 568*b415*b424 + 80*b415*b425 + 120*
    b415*b426 + 600*b415*b427 + 328*b415*b428 + 552*b415*b429 + 536*b415*b430
     + 576*b415*b431 + 200*b415*b432 + 672*b415*b433 + 232*b415*b434 + 184*b415
    *b435 + 688*b415*b436 + 496*b415*b438 + 288*b415*b439 + 16*b415*b440 + 16*
    b415*b441 + 344*b415*b442 + 456*b415*b443 + 8*b415*b444 + 680*b415*b445 + 
    568*b415*b446 + 80*b415*b447 + 120*b415*b448 + 600*b415*b449 + 328*b415*
    b450 + 552*b415*b451 + 536*b415*b452 + 576*b415*b453 + 200*b415*b454 + 672*
    b415*b455 + 232*b415*b456 + 184*b415*b457 + 688*b415*b458 + 496*b415*b460
     + 288*b415*b461 + 16*b415*b462 + 16*b415*b463 + 344*b415*b464 + 3990*b415*
    b465 + 70*b415*b466 + 5950*b415*b467 + 4970*b415*b468 + 700*b415*b469 + 
    1050*b415*b470 + 5250*b415*b471 + 2870*b415*b472 + 4830*b415*b473 + 4690*
    b415*b474 + 5040*b415*b475 + 1750*b415*b476 + 5880*b415*b477 + 2030*b415*
    b478 + 1610*b415*b479 + 6020*b415*b480 + 4340*b415*b482 + 2520*b415*b483 + 
    140*b415*b484 + 140*b415*b485 + 3010*b415*b486 + 5472*b415*b487 + 96*b415*
    b488 + 8160*b415*b489 + 6816*b415*b490 + 960*b415*b491 + 1440*b415*b492 + 
    7200*b415*b493 + 3936*b415*b494 + 6624*b415*b495 + 6432*b415*b496 + 6912*
    b415*b497 + 2400*b415*b498 + 8064*b415*b499 + 2784*b415*b500 + 2208*b415*
    b501 + 8256*b415*b502 + 5952*b415*b504 + 3456*b415*b505 + 192*b415*b506 + 
    192*b415*b507 + 4128*b415*b508 + 3306*b415*b509 + 58*b415*b510 + 4930*b415*
    b511 + 4118*b415*b512 + 580*b415*b513 + 870*b415*b514 + 4350*b415*b515 + 
    2378*b415*b516 + 4002*b415*b517 + 3886*b415*b518 + 4176*b415*b519 + 1450*
    b415*b520 + 4872*b415*b521 + 1682*b415*b522 + 1334*b415*b523 + 4988*b415*
    b524 + 3596*b415*b526 + 2088*b415*b527 + 116*b415*b528 + 116*b415*b529 + 
    2494*b415*b530 + 4550*b415*b531 + 4550*b415*b532 + 8450*b415*b533 + 6090*
    b415*b534 + 6090*b415*b535 + 11310*b415*b536 + 910*b415*b537 + 910*b415*
    b538 + 1690*b415*b539 + 5810*b415*b540 + 5810*b415*b541 + 10790*b415*b542
     + 4830*b415*b543 + 4830*b415*b544 + 8970*b415*b545 + 3920*b415*b546 + 3920
    *b415*b547 + 7280*b415*b548 + 5320*b415*b549 + 5320*b415*b550 + 9880*b415*
    b551 + 5880*b415*b552 + 5880*b415*b553 + 10920*b415*b554 + 6930*b415*b555
     + 6930*b415*b556 + 12870*b415*b557 + 280*b415*b558 + 280*b415*b559 + 520*
    b415*b560 + 3430*b415*b561 + 3430*b415*b562 + 6370*b415*b563 + 1190*b415*
    b564 + 1190*b415*b565 + 2210*b415*b566 + 4200*b415*b567 + 4200*b415*b568 + 
    7800*b415*b569 + 3430*b415*b570 + 3430*b415*b571 + 6370*b415*b572 + 1120*
    b415*b573 + 1120*b415*b574 + 2080*b415*b575 + 3850*b415*b576 + 3850*b415*
    b577 + 7150*b415*b578 + 6370*b415*b579 + 6370*b415*b580 + 11830*b415*b581
     + 280*b415*b585 + 280*b415*b586 + 520*b415*b587 + 280*b415*b588 + 280*b415
    *b589 + 520*b415*b590 + 2450*b415*b591 + 2450*b415*b592 + 4550*b415*b593 + 
    3360*b415*b594 + 3360*b415*b595 + 6240*b415*b596 + 2030*b415*b597 + 2030*
    b415*b598 + 3770*b415*b599 + 158*b415*b600 + 13430*b415*b601 + 11218*b415*
    b602 + 1580*b415*b603 + 2370*b415*b604 + 11850*b415*b605 + 6478*b415*b606
     + 10902*b415*b607 + 10586*b415*b608 + 11376*b415*b609 + 3950*b415*b610 + 
    13272*b415*b611 + 4582*b415*b612 + 3634*b415*b613 + 5530*b415*b614 + 13588*
    b415*b615 + 9796*b415*b617 + 5688*b415*b618 + 316*b415*b619 + 316*b415*b620
     + 6794*b415*b621 + 10270*b415*b622 + 9006*b415*b623 + 6300*b415*b624 + 
    6300*b415*b625 + 11700*b415*b626 + 288*b416*b421 + 400*b416*b422 + 752*b416
    *b423 + 616*b416*b424 + 792*b416*b425 + 712*b416*b426 + 608*b416*b427 + 448
    *b416*b428 + 96*b416*b429 + 208*b416*b430 + 360*b416*b431 + 240*b416*b432
     + 48*b416*b433 + 24*b416*b434 + 496*b416*b435 + 480*b416*b436 + 496*b416*
    b437 + 296*b416*b439 + 392*b416*b440 + 488*b416*b441 + 40*b416*b442 + 288*
    b416*b443 + 400*b416*b444 + 752*b416*b445 + 616*b416*b446 + 792*b416*b447
     + 712*b416*b448 + 608*b416*b449 + 448*b416*b450 + 96*b416*b451 + 208*b416*
    b452 + 360*b416*b453 + 240*b416*b454 + 48*b416*b455 + 24*b416*b456 + 496*
    b416*b457 + 480*b416*b458 + 496*b416*b459 + 296*b416*b461 + 392*b416*b462
     + 488*b416*b463 + 40*b416*b464 + 2520*b416*b465 + 3500*b416*b466 + 6580*
    b416*b467 + 5390*b416*b468 + 6930*b416*b469 + 6230*b416*b470 + 5320*b416*
    b471 + 3920*b416*b472 + 840*b416*b473 + 1820*b416*b474 + 3150*b416*b475 + 
    2100*b416*b476 + 420*b416*b477 + 210*b416*b478 + 4340*b416*b479 + 4200*b416
    *b480 + 4340*b416*b481 + 2590*b416*b483 + 3430*b416*b484 + 4270*b416*b485
     + 350*b416*b486 + 3456*b416*b487 + 4800*b416*b488 + 9024*b416*b489 + 7392*
    b416*b490 + 9504*b416*b491 + 8544*b416*b492 + 7296*b416*b493 + 5376*b416*
    b494 + 1152*b416*b495 + 2496*b416*b496 + 4320*b416*b497 + 2880*b416*b498 + 
    576*b416*b499 + 288*b416*b500 + 5952*b416*b501 + 5760*b416*b502 + 5952*b416
    *b503 + 3552*b416*b505 + 4704*b416*b506 + 5856*b416*b507 + 480*b416*b508 + 
    2088*b416*b509 + 2900*b416*b510 + 5452*b416*b511 + 4466*b416*b512 + 5742*
    b416*b513 + 5162*b416*b514 + 4408*b416*b515 + 3248*b416*b516 + 696*b416*
    b517 + 1508*b416*b518 + 2610*b416*b519 + 1740*b416*b520 + 348*b416*b521 + 
    174*b416*b522 + 3596*b416*b523 + 3480*b416*b524 + 3596*b416*b525 + 2146*
    b416*b527 + 2842*b416*b528 + 3538*b416*b529 + 290*b416*b530 + 1170*b416*
    b531 + 1950*b416*b532 + 4420*b416*b533 + 1566*b416*b534 + 2610*b416*b535 + 
    5916*b416*b536 + 234*b416*b537 + 390*b416*b538 + 884*b416*b539 + 1494*b416*
    b540 + 2490*b416*b541 + 5644*b416*b542 + 1242*b416*b543 + 2070*b416*b544 + 
    4692*b416*b545 + 1008*b416*b546 + 1680*b416*b547 + 3808*b416*b548 + 1368*
    b416*b549 + 2280*b416*b550 + 5168*b416*b551 + 1512*b416*b552 + 2520*b416*
    b553 + 5712*b416*b554 + 1782*b416*b555 + 2970*b416*b556 + 6732*b416*b557 + 
    72*b416*b558 + 120*b416*b559 + 272*b416*b560 + 882*b416*b561 + 1470*b416*
    b562 + 3332*b416*b563 + 306*b416*b564 + 510*b416*b565 + 1156*b416*b566 + 
    1080*b416*b567 + 1800*b416*b568 + 4080*b416*b569 + 882*b416*b570 + 1470*
    b416*b571 + 3332*b416*b572 + 288*b416*b573 + 480*b416*b574 + 1088*b416*b575
     + 990*b416*b576 + 1650*b416*b577 + 3740*b416*b578 + 1638*b416*b579 + 2730*
    b416*b580 + 6188*b416*b581 + 72*b416*b585 + 120*b416*b586 + 272*b416*b587
     + 72*b416*b588 + 120*b416*b589 + 272*b416*b590 + 630*b416*b591 + 1050*b416
    *b592 + 2380*b416*b593 + 864*b416*b594 + 1440*b416*b595 + 3264*b416*b596 + 
    522*b416*b597 + 870*b416*b598 + 1972*b416*b599 + 7900*b416*b600 + 14852*
    b416*b601 + 12166*b416*b602 + 15642*b416*b603 + 14062*b416*b604 + 12008*
    b416*b605 + 8848*b416*b606 + 1896*b416*b607 + 4108*b416*b608 + 7110*b416*
    b609 + 4740*b416*b610 + 948*b416*b611 + 474*b416*b612 + 9796*b416*b613 + 
    2370*b416*b614 + 9480*b416*b615 + 9796*b416*b616 + 5846*b416*b618 + 7742*
    b416*b619 + 9638*b416*b620 + 790*b416*b621 + 5372*b416*b622 + 5688*b416*
    b623 + 1620*b416*b624 + 2700*b416*b625 + 6120*b416*b626 + 488*b417*b421 + 
    32*b417*b422 + 720*b417*b423 + 288*b417*b424 + 448*b417*b425 + 384*b417*
    b426 + 320*b417*b427 + 312*b417*b428 + 680*b417*b429 + 656*b417*b430 + 768*
    b417*b431 + 344*b417*b432 + 24*b417*b434 + 496*b417*b435 + 496*b417*b436 + 
    288*b417*b437 + 296*b417*b438 + 424*b417*b440 + 768*b417*b441 + 656*b417*
    b442 + 488*b417*b443 + 32*b417*b444 + 720*b417*b445 + 288*b417*b446 + 448*
    b417*b447 + 384*b417*b448 + 320*b417*b449 + 312*b417*b450 + 680*b417*b451
     + 656*b417*b452 + 768*b417*b453 + 344*b417*b454 + 24*b417*b456 + 496*b417*
    b457 + 496*b417*b458 + 288*b417*b459 + 296*b417*b460 + 424*b417*b462 + 768*
    b417*b463 + 656*b417*b464 + 4270*b417*b465 + 280*b417*b466 + 6300*b417*b467
     + 2520*b417*b468 + 3920*b417*b469 + 3360*b417*b470 + 2800*b417*b471 + 2730
    *b417*b472 + 5950*b417*b473 + 5740*b417*b474 + 6720*b417*b475 + 3010*b417*
    b476 + 210*b417*b478 + 4340*b417*b479 + 4340*b417*b480 + 2520*b417*b481 + 
    2590*b417*b482 + 3710*b417*b484 + 6720*b417*b485 + 5740*b417*b486 + 5856*
    b417*b487 + 384*b417*b488 + 8640*b417*b489 + 3456*b417*b490 + 5376*b417*
    b491 + 4608*b417*b492 + 3840*b417*b493 + 3744*b417*b494 + 8160*b417*b495 + 
    7872*b417*b496 + 9216*b417*b497 + 4128*b417*b498 + 288*b417*b500 + 5952*
    b417*b501 + 5952*b417*b502 + 3456*b417*b503 + 3552*b417*b504 + 5088*b417*
    b506 + 9216*b417*b507 + 7872*b417*b508 + 3538*b417*b509 + 232*b417*b510 + 
    5220*b417*b511 + 2088*b417*b512 + 3248*b417*b513 + 2784*b417*b514 + 2320*
    b417*b515 + 2262*b417*b516 + 4930*b417*b517 + 4756*b417*b518 + 5568*b417*
    b519 + 2494*b417*b520 + 174*b417*b522 + 3596*b417*b523 + 3596*b417*b524 + 
    2088*b417*b525 + 2146*b417*b526 + 3074*b417*b528 + 5568*b417*b529 + 4756*
    b417*b530 + 130*b417*b531 + 2210*b417*b532 + 6240*b417*b533 + 174*b417*b534
     + 2958*b417*b535 + 8352*b417*b536 + 26*b417*b537 + 442*b417*b538 + 1248*
    b417*b539 + 166*b417*b540 + 2822*b417*b541 + 7968*b417*b542 + 138*b417*b543
     + 2346*b417*b544 + 6624*b417*b545 + 112*b417*b546 + 1904*b417*b547 + 5376*
    b417*b548 + 152*b417*b549 + 2584*b417*b550 + 7296*b417*b551 + 168*b417*b552
     + 2856*b417*b553 + 8064*b417*b554 + 198*b417*b555 + 3366*b417*b556 + 9504*
    b417*b557 + 8*b417*b558 + 136*b417*b559 + 384*b417*b560 + 98*b417*b561 + 
    1666*b417*b562 + 4704*b417*b563 + 34*b417*b564 + 578*b417*b565 + 1632*b417*
    b566 + 120*b417*b567 + 2040*b417*b568 + 5760*b417*b569 + 98*b417*b570 + 
    1666*b417*b571 + 4704*b417*b572 + 32*b417*b573 + 544*b417*b574 + 1536*b417*
    b575 + 110*b417*b576 + 1870*b417*b577 + 5280*b417*b578 + 182*b417*b579 + 
    3094*b417*b580 + 8736*b417*b581 + 8*b417*b585 + 136*b417*b586 + 384*b417*
    b587 + 8*b417*b588 + 136*b417*b589 + 384*b417*b590 + 70*b417*b591 + 1190*
    b417*b592 + 3360*b417*b593 + 96*b417*b594 + 1632*b417*b595 + 4608*b417*b596
     + 58*b417*b597 + 986*b417*b598 + 2784*b417*b599 + 632*b417*b600 + 14220*
    b417*b601 + 5688*b417*b602 + 8848*b417*b603 + 7584*b417*b604 + 6320*b417*
    b605 + 6162*b417*b606 + 13430*b417*b607 + 12956*b417*b608 + 15168*b417*b609
     + 6794*b417*b610 + 474*b417*b612 + 9796*b417*b613 + 2686*b417*b614 + 9796*
    b417*b615 + 5688*b417*b616 + 5846*b417*b617 + 8374*b417*b619 + 15168*b417*
    b620 + 12956*b417*b621 + 7584*b417*b622 + 9638*b417*b623 + 180*b417*b624 + 
    3060*b417*b625 + 8640*b417*b626 + 288*b418*b421 + 288*b418*b422 + 408*b418*
    b423 + 424*b418*b424 + 560*b418*b425 + 112*b418*b426 + 528*b418*b427 + 424*
    b418*b428 + 576*b418*b429 + 352*b418*b430 + 56*b418*b431 + 776*b418*b432 + 
    408*b418*b434 + 224*b418*b435 + 496*b418*b436 + 16*b418*b437 + 392*b418*
    b438 + 424*b418*b439 + 224*b418*b441 + 248*b418*b442 + 288*b418*b443 + 288*
    b418*b444 + 408*b418*b445 + 424*b418*b446 + 560*b418*b447 + 112*b418*b448
     + 528*b418*b449 + 424*b418*b450 + 576*b418*b451 + 352*b418*b452 + 56*b418*
    b453 + 776*b418*b454 + 408*b418*b456 + 224*b418*b457 + 496*b418*b458 + 16*
    b418*b459 + 392*b418*b460 + 424*b418*b461 + 224*b418*b463 + 248*b418*b464
     + 2520*b418*b465 + 2520*b418*b466 + 3570*b418*b467 + 3710*b418*b468 + 4900
    *b418*b469 + 980*b418*b470 + 4620*b418*b471 + 3710*b418*b472 + 5040*b418*
    b473 + 3080*b418*b474 + 490*b418*b475 + 6790*b418*b476 + 3570*b418*b478 + 
    1960*b418*b479 + 4340*b418*b480 + 140*b418*b481 + 3430*b418*b482 + 3710*
    b418*b483 + 1960*b418*b485 + 2170*b418*b486 + 3456*b418*b487 + 3456*b418*
    b488 + 4896*b418*b489 + 5088*b418*b490 + 6720*b418*b491 + 1344*b418*b492 + 
    6336*b418*b493 + 5088*b418*b494 + 6912*b418*b495 + 4224*b418*b496 + 672*
    b418*b497 + 9312*b418*b498 + 4896*b418*b500 + 2688*b418*b501 + 5952*b418*
    b502 + 192*b418*b503 + 4704*b418*b504 + 5088*b418*b505 + 2688*b418*b507 + 
    2976*b418*b508 + 2088*b418*b509 + 2088*b418*b510 + 2958*b418*b511 + 3074*
    b418*b512 + 4060*b418*b513 + 812*b418*b514 + 3828*b418*b515 + 3074*b418*
    b516 + 4176*b418*b517 + 2552*b418*b518 + 406*b418*b519 + 5626*b418*b520 + 
    2958*b418*b522 + 1624*b418*b523 + 3596*b418*b524 + 116*b418*b525 + 2842*
    b418*b526 + 3074*b418*b527 + 1624*b418*b529 + 1798*b418*b530 + 11050*b418*
    b531 + 10010*b418*b532 + 9750*b418*b533 + 14790*b418*b534 + 13398*b418*b535
     + 13050*b418*b536 + 2210*b418*b537 + 2002*b418*b538 + 1950*b418*b539 + 
    14110*b418*b540 + 12782*b418*b541 + 12450*b418*b542 + 11730*b418*b543 + 
    10626*b418*b544 + 10350*b418*b545 + 9520*b418*b546 + 8624*b418*b547 + 8400*
    b418*b548 + 12920*b418*b549 + 11704*b418*b550 + 11400*b418*b551 + 14280*
    b418*b552 + 12936*b418*b553 + 12600*b418*b554 + 16830*b418*b555 + 15246*
    b418*b556 + 14850*b418*b557 + 680*b418*b558 + 616*b418*b559 + 600*b418*b560
     + 8330*b418*b561 + 7546*b418*b562 + 7350*b418*b563 + 2890*b418*b564 + 2618
    *b418*b565 + 2550*b418*b566 + 10200*b418*b567 + 9240*b418*b568 + 9000*b418*
    b569 + 8330*b418*b570 + 7546*b418*b571 + 7350*b418*b572 + 2720*b418*b573 + 
    2464*b418*b574 + 2400*b418*b575 + 9350*b418*b576 + 8470*b418*b577 + 8250*
    b418*b578 + 15470*b418*b579 + 14014*b418*b580 + 13650*b418*b581 + 680*b418*
    b585 + 616*b418*b586 + 600*b418*b587 + 680*b418*b588 + 616*b418*b589 + 600*
    b418*b590 + 5950*b418*b591 + 5390*b418*b592 + 5250*b418*b593 + 8160*b418*
    b594 + 7392*b418*b595 + 7200*b418*b596 + 4930*b418*b597 + 4466*b418*b598 + 
    4350*b418*b599 + 5688*b418*b600 + 8058*b418*b601 + 8374*b418*b602 + 11060*
    b418*b603 + 2212*b418*b604 + 10428*b418*b605 + 8374*b418*b606 + 11376*b418*
    b607 + 6952*b418*b608 + 1106*b418*b609 + 15326*b418*b610 + 8058*b418*b612
     + 4424*b418*b613 + 12166*b418*b614 + 9796*b418*b615 + 316*b418*b616 + 7742
    *b418*b617 + 8374*b418*b618 + 4424*b418*b620 + 4898*b418*b621 + 11850*b418*
    b622 + 5688*b418*b623 + 15300*b418*b624 + 13860*b418*b625 + 13500*b418*b626
     + 168*b419*b421 + 216*b419*b422 + 24*b419*b423 + 296*b419*b424 + 792*b419*
    b425 + 712*b419*b426 + 464*b419*b427 + 616*b419*b428 + 56*b419*b429 + 280*
    b419*b430 + 696*b419*b431 + 264*b419*b432 + 384*b419*b433 + 536*b419*b434
     + 608*b419*b435 + 664*b419*b436 + 16*b419*b437 + 488*b419*b438 + 768*b419*
    b439 + 224*b419*b440 + 8*b419*b442 + 168*b419*b443 + 216*b419*b444 + 24*
    b419*b445 + 296*b419*b446 + 792*b419*b447 + 712*b419*b448 + 464*b419*b449
     + 616*b419*b450 + 56*b419*b451 + 280*b419*b452 + 696*b419*b453 + 264*b419*
    b454 + 384*b419*b455 + 536*b419*b456 + 608*b419*b457 + 664*b419*b458 + 16*
    b419*b459 + 488*b419*b460 + 768*b419*b461 + 224*b419*b462 + 8*b419*b464 + 
    1470*b419*b465 + 1890*b419*b466 + 210*b419*b467 + 2590*b419*b468 + 6930*
    b419*b469 + 6230*b419*b470 + 4060*b419*b471 + 5390*b419*b472 + 490*b419*
    b473 + 2450*b419*b474 + 6090*b419*b475 + 2310*b419*b476 + 3360*b419*b477 + 
    4690*b419*b478 + 5320*b419*b479 + 5810*b419*b480 + 140*b419*b481 + 4270*
    b419*b482 + 6720*b419*b483 + 1960*b419*b484 + 70*b419*b486 + 2016*b419*b487
     + 2592*b419*b488 + 288*b419*b489 + 3552*b419*b490 + 9504*b419*b491 + 8544*
    b419*b492 + 5568*b419*b493 + 7392*b419*b494 + 672*b419*b495 + 3360*b419*
    b496 + 8352*b419*b497 + 3168*b419*b498 + 4608*b419*b499 + 6432*b419*b500 + 
    7296*b419*b501 + 7968*b419*b502 + 192*b419*b503 + 5856*b419*b504 + 9216*
    b419*b505 + 2688*b419*b506 + 96*b419*b508 + 1218*b419*b509 + 1566*b419*b510
     + 174*b419*b511 + 2146*b419*b512 + 5742*b419*b513 + 5162*b419*b514 + 3364*
    b419*b515 + 4466*b419*b516 + 406*b419*b517 + 2030*b419*b518 + 5046*b419*
    b519 + 1914*b419*b520 + 2784*b419*b521 + 3886*b419*b522 + 4408*b419*b523 + 
    4814*b419*b524 + 116*b419*b525 + 3538*b419*b526 + 5568*b419*b527 + 1624*
    b419*b528 + 58*b419*b530 + 10920*b419*b531 + 5720*b419*b532 + 12350*b419*
    b533 + 14616*b419*b534 + 7656*b419*b535 + 16530*b419*b536 + 2184*b419*b537
     + 1144*b419*b538 + 2470*b419*b539 + 13944*b419*b540 + 7304*b419*b541 + 
    15770*b419*b542 + 11592*b419*b543 + 6072*b419*b544 + 13110*b419*b545 + 9408
    *b419*b546 + 4928*b419*b547 + 10640*b419*b548 + 12768*b419*b549 + 6688*b419
    *b550 + 14440*b419*b551 + 14112*b419*b552 + 7392*b419*b553 + 15960*b419*
    b554 + 16632*b419*b555 + 8712*b419*b556 + 18810*b419*b557 + 672*b419*b558
     + 352*b419*b559 + 760*b419*b560 + 8232*b419*b561 + 4312*b419*b562 + 9310*
    b419*b563 + 2856*b419*b564 + 1496*b419*b565 + 3230*b419*b566 + 10080*b419*
    b567 + 5280*b419*b568 + 11400*b419*b569 + 8232*b419*b570 + 4312*b419*b571
     + 9310*b419*b572 + 2688*b419*b573 + 1408*b419*b574 + 3040*b419*b575 + 9240
    *b419*b576 + 4840*b419*b577 + 10450*b419*b578 + 15288*b419*b579 + 8008*b419
    *b580 + 17290*b419*b581 + 672*b419*b585 + 352*b419*b586 + 760*b419*b587 + 
    672*b419*b588 + 352*b419*b589 + 760*b419*b590 + 5880*b419*b591 + 3080*b419*
    b592 + 6650*b419*b593 + 8064*b419*b594 + 4224*b419*b595 + 9120*b419*b596 + 
    4872*b419*b597 + 2552*b419*b598 + 5510*b419*b599 + 4266*b419*b600 + 474*
    b419*b601 + 5846*b419*b602 + 15642*b419*b603 + 14062*b419*b604 + 9164*b419*
    b605 + 12166*b419*b606 + 1106*b419*b607 + 5530*b419*b608 + 13746*b419*b609
     + 5214*b419*b610 + 7584*b419*b611 + 10586*b419*b612 + 12008*b419*b613 + 
    6952*b419*b614 + 13114*b419*b615 + 316*b419*b616 + 9638*b419*b617 + 15168*
    b419*b618 + 4424*b419*b619 + 158*b419*b621 + 15010*b419*b622 + 3318*b419*
    b623 + 15120*b419*b624 + 7920*b419*b625 + 17100*b419*b626 + 568*b420*b421
     + 680*b420*b422 + 384*b420*b423 + 208*b420*b424 + 480*b420*b425 + 352*b420
    *b426 + 240*b420*b427 + 400*b420*b428 + 392*b420*b429 + 24*b420*b430 + 544*
    b420*b431 + 280*b420*b432 + 496*b420*b433 + 312*b420*b434 + 528*b420*b435
     + 728*b420*b436 + 344*b420*b437 + 40*b420*b438 + 656*b420*b439 + 248*b420*
    b440 + 8*b420*b441 + 568*b420*b443 + 680*b420*b444 + 384*b420*b445 + 208*
    b420*b446 + 480*b420*b447 + 352*b420*b448 + 240*b420*b449 + 400*b420*b450
     + 392*b420*b451 + 24*b420*b452 + 544*b420*b453 + 280*b420*b454 + 496*b420*
    b455 + 312*b420*b456 + 528*b420*b457 + 728*b420*b458 + 344*b420*b459 + 40*
    b420*b460 + 656*b420*b461 + 248*b420*b462 + 8*b420*b463 + 4970*b420*b465 + 
    5950*b420*b466 + 3360*b420*b467 + 1820*b420*b468 + 4200*b420*b469 + 3080*
    b420*b470 + 2100*b420*b471 + 3500*b420*b472 + 3430*b420*b473 + 210*b420*
    b474 + 4760*b420*b475 + 2450*b420*b476 + 4340*b420*b477 + 2730*b420*b478 + 
    4620*b420*b479 + 6370*b420*b480 + 3010*b420*b481 + 350*b420*b482 + 5740*
    b420*b483 + 2170*b420*b484 + 70*b420*b485 + 6816*b420*b487 + 8160*b420*b488
     + 4608*b420*b489 + 2496*b420*b490 + 5760*b420*b491 + 4224*b420*b492 + 2880
    *b420*b493 + 4800*b420*b494 + 4704*b420*b495 + 288*b420*b496 + 6528*b420*
    b497 + 3360*b420*b498 + 5952*b420*b499 + 3744*b420*b500 + 6336*b420*b501 + 
    8736*b420*b502 + 4128*b420*b503 + 480*b420*b504 + 7872*b420*b505 + 2976*
    b420*b506 + 96*b420*b507 + 4118*b420*b509 + 4930*b420*b510 + 2784*b420*b511
     + 1508*b420*b512 + 3480*b420*b513 + 2552*b420*b514 + 1740*b420*b515 + 2900
    *b420*b516 + 2842*b420*b517 + 174*b420*b518 + 3944*b420*b519 + 2030*b420*
    b520 + 3596*b420*b521 + 2262*b420*b522 + 3828*b420*b523 + 5278*b420*b524 + 
    2494*b420*b525 + 290*b420*b526 + 4756*b420*b527 + 1798*b420*b528 + 58*b420*
    b529 + 1560*b420*b531 + 3380*b420*b532 + 910*b420*b533 + 2088*b420*b534 + 
    4524*b420*b535 + 1218*b420*b536 + 312*b420*b537 + 676*b420*b538 + 182*b420*
    b539 + 1992*b420*b540 + 4316*b420*b541 + 1162*b420*b542 + 1656*b420*b543 + 
    3588*b420*b544 + 966*b420*b545 + 1344*b420*b546 + 2912*b420*b547 + 784*b420
    *b548 + 1824*b420*b549 + 3952*b420*b550 + 1064*b420*b551 + 2016*b420*b552
     + 4368*b420*b553 + 1176*b420*b554 + 2376*b420*b555 + 5148*b420*b556 + 1386
    *b420*b557 + 96*b420*b558 + 208*b420*b559 + 56*b420*b560 + 1176*b420*b561
     + 2548*b420*b562 + 686*b420*b563 + 408*b420*b564 + 884*b420*b565 + 238*
    b420*b566 + 1440*b420*b567 + 3120*b420*b568 + 840*b420*b569 + 1176*b420*
    b570 + 2548*b420*b571 + 686*b420*b572 + 384*b420*b573 + 832*b420*b574 + 224
    *b420*b575 + 1320*b420*b576 + 2860*b420*b577 + 770*b420*b578 + 2184*b420*
    b579 + 4732*b420*b580 + 1274*b420*b581 + 96*b420*b585 + 208*b420*b586 + 56*
    b420*b587 + 96*b420*b588 + 208*b420*b589 + 56*b420*b590 + 840*b420*b591 + 
    1820*b420*b592 + 490*b420*b593 + 1152*b420*b594 + 2496*b420*b595 + 672*b420
    *b596 + 696*b420*b597 + 1508*b420*b598 + 406*b420*b599 + 13430*b420*b600 + 
    7584*b420*b601 + 4108*b420*b602 + 9480*b420*b603 + 6952*b420*b604 + 4740*
    b420*b605 + 7900*b420*b606 + 7742*b420*b607 + 474*b420*b608 + 10744*b420*
    b609 + 5530*b420*b610 + 9796*b420*b611 + 6162*b420*b612 + 10428*b420*b613
     + 4108*b420*b614 + 14378*b420*b615 + 6794*b420*b616 + 790*b420*b617 + 
    12956*b420*b618 + 4898*b420*b619 + 158*b420*b620 + 1106*b420*b622 + 11218*
    b420*b623 + 2160*b420*b624 + 4680*b420*b625 + 1260*b420*b626 + 2184*b421*
    b444 + 7644*b421*b445 + 924*b421*b446 + 2940*b421*b447 + 6888*b421*b448 + 
    2184*b421*b449 + 5796*b421*b450 + 4704*b421*b451 + 7224*b421*b452 + 3780*
    b421*b453 + 7644*b421*b454 + 4956*b421*b455 + 1512*b421*b456 + 6384*b421*
    b457 + 1512*b421*b458 + 4788*b421*b459 + 3024*b421*b460 + 5124*b421*b461 + 
    3024*b421*b462 + 1764*b421*b463 + 5964*b421*b464 + 2912*b421*b466 + 10192*
    b421*b467 + 1232*b421*b468 + 3920*b421*b469 + 9184*b421*b470 + 2912*b421*
    b471 + 7728*b421*b472 + 6272*b421*b473 + 9632*b421*b474 + 5040*b421*b475 + 
    10192*b421*b476 + 6608*b421*b477 + 2016*b421*b478 + 8512*b421*b479 + 2016*
    b421*b480 + 6384*b421*b481 + 4032*b421*b482 + 6832*b421*b483 + 4032*b421*
    b484 + 2352*b421*b485 + 7952*b421*b486 + 156*b421*b488 + 546*b421*b489 + 66
    *b421*b490 + 210*b421*b491 + 492*b421*b492 + 156*b421*b493 + 414*b421*b494
     + 336*b421*b495 + 516*b421*b496 + 270*b421*b497 + 546*b421*b498 + 354*b421
    *b499 + 108*b421*b500 + 456*b421*b501 + 108*b421*b502 + 342*b421*b503 + 216
    *b421*b504 + 366*b421*b505 + 216*b421*b506 + 126*b421*b507 + 426*b421*b508
     + 1560*b421*b510 + 5460*b421*b511 + 660*b421*b512 + 2100*b421*b513 + 4920*
    b421*b514 + 1560*b421*b515 + 4140*b421*b516 + 3360*b421*b517 + 5160*b421*
    b518 + 2700*b421*b519 + 5460*b421*b520 + 3540*b421*b521 + 1080*b421*b522 + 
    4560*b421*b523 + 1080*b421*b524 + 3420*b421*b525 + 2160*b421*b526 + 3660*
    b421*b527 + 2160*b421*b528 + 1260*b421*b529 + 4260*b421*b530 + 294*b421*
    b531 + 546*b421*b532 + 154*b421*b533 + 3024*b421*b534 + 5616*b421*b535 + 
    1584*b421*b536 + 1890*b421*b537 + 3510*b421*b538 + 990*b421*b539 + 1806*
    b421*b540 + 3354*b421*b541 + 946*b421*b542 + 3906*b421*b543 + 7254*b421*
    b544 + 2046*b421*b545 + 2352*b421*b546 + 4368*b421*b547 + 1232*b421*b548 + 
    2982*b421*b549 + 5538*b421*b550 + 1562*b421*b551 + 3486*b421*b552 + 6474*
    b421*b553 + 1826*b421*b554 + 252*b421*b555 + 468*b421*b556 + 132*b421*b557
     + 882*b421*b558 + 1638*b421*b559 + 462*b421*b560 + 2856*b421*b561 + 5304*
    b421*b562 + 1496*b421*b563 + 2394*b421*b564 + 4446*b421*b565 + 1254*b421*
    b566 + 966*b421*b567 + 1794*b421*b568 + 506*b421*b569 + 630*b421*b570 + 
    1170*b421*b571 + 330*b421*b572 + 2898*b421*b573 + 5382*b421*b574 + 1518*
    b421*b575 + 1260*b421*b576 + 2340*b421*b577 + 660*b421*b578 + 3108*b421*
    b579 + 5772*b421*b580 + 1628*b421*b581 + 168*b421*b582 + 312*b421*b583 + 88
    *b421*b584 + 1764*b421*b588 + 3276*b421*b589 + 924*b421*b590 + 2352*b421*
    b591 + 4368*b421*b592 + 1232*b421*b593 + 126*b421*b594 + 234*b421*b595 + 66
    *b421*b596 + 1260*b421*b597 + 2340*b421*b598 + 660*b421*b599 + 988*b421*
    b600 + 3458*b421*b601 + 418*b421*b602 + 1330*b421*b603 + 3116*b421*b604 + 
    988*b421*b605 + 2622*b421*b606 + 2128*b421*b607 + 3268*b421*b608 + 1710*
    b421*b609 + 3458*b421*b610 + 2242*b421*b611 + 684*b421*b612 + 2888*b421*
    b613 + 1482*b421*b614 + 684*b421*b615 + 2166*b421*b616 + 1368*b421*b617 + 
    2318*b421*b618 + 1368*b421*b619 + 798*b421*b620 + 2698*b421*b621 + 418*b421
    *b622 + 1092*b421*b624 + 2028*b421*b625 + 572*b421*b626 + 2184*b422*b443 + 
    2436*b422*b445 + 6888*b422*b446 + 6888*b422*b447 + 504*b422*b448 + 5964*
    b422*b449 + 672*b422*b450 + 6468*b422*b451 + 6216*b422*b452 + 2520*b422*
    b453 + 7476*b422*b454 + 6384*b422*b455 + 6384*b422*b456 + 3360*b422*b457 + 
    4704*b422*b458 + 84*b422*b459 + 4200*b422*b460 + 336*b422*b461 + 3024*b422*
    b462 + 2268*b422*b463 + 7140*b422*b464 + 2912*b422*b465 + 3248*b422*b467 + 
    9184*b422*b468 + 9184*b422*b469 + 672*b422*b470 + 7952*b422*b471 + 896*b422
    *b472 + 8624*b422*b473 + 8288*b422*b474 + 3360*b422*b475 + 9968*b422*b476
     + 8512*b422*b477 + 8512*b422*b478 + 4480*b422*b479 + 6272*b422*b480 + 112*
    b422*b481 + 5600*b422*b482 + 448*b422*b483 + 4032*b422*b484 + 3024*b422*
    b485 + 9520*b422*b486 + 156*b422*b487 + 174*b422*b489 + 492*b422*b490 + 492
    *b422*b491 + 36*b422*b492 + 426*b422*b493 + 48*b422*b494 + 462*b422*b495 + 
    444*b422*b496 + 180*b422*b497 + 534*b422*b498 + 456*b422*b499 + 456*b422*
    b500 + 240*b422*b501 + 336*b422*b502 + 6*b422*b503 + 300*b422*b504 + 24*
    b422*b505 + 216*b422*b506 + 162*b422*b507 + 510*b422*b508 + 1560*b422*b509
     + 1740*b422*b511 + 4920*b422*b512 + 4920*b422*b513 + 360*b422*b514 + 4260*
    b422*b515 + 480*b422*b516 + 4620*b422*b517 + 4440*b422*b518 + 1800*b422*
    b519 + 5340*b422*b520 + 4560*b422*b521 + 4560*b422*b522 + 2400*b422*b523 + 
    3360*b422*b524 + 60*b422*b525 + 3000*b422*b526 + 240*b422*b527 + 2160*b422*
    b528 + 1620*b422*b529 + 5100*b422*b530 + 1330*b422*b531 + 1302*b422*b532 + 
    28*b422*b533 + 13680*b422*b534 + 13392*b422*b535 + 288*b422*b536 + 8550*
    b422*b537 + 8370*b422*b538 + 180*b422*b539 + 8170*b422*b540 + 7998*b422*
    b541 + 172*b422*b542 + 17670*b422*b543 + 17298*b422*b544 + 372*b422*b545 + 
    10640*b422*b546 + 10416*b422*b547 + 224*b422*b548 + 13490*b422*b549 + 13206
    *b422*b550 + 284*b422*b551 + 15770*b422*b552 + 15438*b422*b553 + 332*b422*
    b554 + 1140*b422*b555 + 1116*b422*b556 + 24*b422*b557 + 3990*b422*b558 + 
    3906*b422*b559 + 84*b422*b560 + 12920*b422*b561 + 12648*b422*b562 + 272*
    b422*b563 + 10830*b422*b564 + 10602*b422*b565 + 228*b422*b566 + 4370*b422*
    b567 + 4278*b422*b568 + 92*b422*b569 + 2850*b422*b570 + 2790*b422*b571 + 60
    *b422*b572 + 13110*b422*b573 + 12834*b422*b574 + 276*b422*b575 + 5700*b422*
    b576 + 5580*b422*b577 + 120*b422*b578 + 14060*b422*b579 + 13764*b422*b580
     + 296*b422*b581 + 760*b422*b582 + 744*b422*b583 + 16*b422*b584 + 7980*b422
    *b588 + 7812*b422*b589 + 168*b422*b590 + 10640*b422*b591 + 10416*b422*b592
     + 224*b422*b593 + 570*b422*b594 + 558*b422*b595 + 12*b422*b596 + 5700*b422
    *b597 + 5580*b422*b598 + 120*b422*b599 + 1102*b422*b601 + 3116*b422*b602 + 
    3116*b422*b603 + 228*b422*b604 + 2698*b422*b605 + 304*b422*b606 + 2926*b422
    *b607 + 2812*b422*b608 + 1140*b422*b609 + 3382*b422*b610 + 2888*b422*b611
     + 2888*b422*b612 + 1520*b422*b613 + 3534*b422*b614 + 2128*b422*b615 + 38*
    b422*b616 + 1900*b422*b617 + 152*b422*b618 + 1368*b422*b619 + 1026*b422*
    b620 + 3230*b422*b621 + 76*b422*b622 + 988*b422*b623 + 4940*b422*b624 + 
    4836*b422*b625 + 104*b422*b626 + 7644*b423*b443 + 2436*b423*b444 + 84*b423*
    b446 + 1260*b423*b447 + 924*b423*b448 + 2940*b423*b449 + 924*b423*b450 + 
    1680*b423*b451 + 1764*b423*b452 + 5124*b423*b453 + 6720*b423*b454 + 4872*
    b423*b455 + 1764*b423*b456 + 6384*b423*b457 + 3696*b423*b458 + 7140*b423*
    b459 + 7896*b423*b460 + 7560*b423*b461 + 4284*b423*b462 + 252*b423*b463 + 
    4032*b423*b464 + 10192*b423*b465 + 3248*b423*b466 + 112*b423*b468 + 1680*
    b423*b469 + 1232*b423*b470 + 3920*b423*b471 + 1232*b423*b472 + 2240*b423*
    b473 + 2352*b423*b474 + 6832*b423*b475 + 8960*b423*b476 + 6496*b423*b477 + 
    2352*b423*b478 + 8512*b423*b479 + 4928*b423*b480 + 9520*b423*b481 + 10528*
    b423*b482 + 10080*b423*b483 + 5712*b423*b484 + 336*b423*b485 + 5376*b423*
    b486 + 546*b423*b487 + 174*b423*b488 + 6*b423*b490 + 90*b423*b491 + 66*b423
    *b492 + 210*b423*b493 + 66*b423*b494 + 120*b423*b495 + 126*b423*b496 + 366*
    b423*b497 + 480*b423*b498 + 348*b423*b499 + 126*b423*b500 + 456*b423*b501
     + 264*b423*b502 + 510*b423*b503 + 564*b423*b504 + 540*b423*b505 + 306*b423
    *b506 + 18*b423*b507 + 288*b423*b508 + 5460*b423*b509 + 1740*b423*b510 + 60
    *b423*b512 + 900*b423*b513 + 660*b423*b514 + 2100*b423*b515 + 660*b423*b516
     + 1200*b423*b517 + 1260*b423*b518 + 3660*b423*b519 + 4800*b423*b520 + 3480
    *b423*b521 + 1260*b423*b522 + 4560*b423*b523 + 2640*b423*b524 + 5100*b423*
    b525 + 5640*b423*b526 + 5400*b423*b527 + 3060*b423*b528 + 180*b423*b529 + 
    2880*b423*b530 + 1148*b423*b531 + 1008*b423*b532 + 406*b423*b533 + 11808*
    b423*b534 + 10368*b423*b535 + 4176*b423*b536 + 7380*b423*b537 + 6480*b423*
    b538 + 2610*b423*b539 + 7052*b423*b540 + 6192*b423*b541 + 2494*b423*b542 + 
    15252*b423*b543 + 13392*b423*b544 + 5394*b423*b545 + 9184*b423*b546 + 8064*
    b423*b547 + 3248*b423*b548 + 11644*b423*b549 + 10224*b423*b550 + 4118*b423*
    b551 + 13612*b423*b552 + 11952*b423*b553 + 4814*b423*b554 + 984*b423*b555
     + 864*b423*b556 + 348*b423*b557 + 3444*b423*b558 + 3024*b423*b559 + 1218*
    b423*b560 + 11152*b423*b561 + 9792*b423*b562 + 3944*b423*b563 + 9348*b423*
    b564 + 8208*b423*b565 + 3306*b423*b566 + 3772*b423*b567 + 3312*b423*b568 + 
    1334*b423*b569 + 2460*b423*b570 + 2160*b423*b571 + 870*b423*b572 + 11316*
    b423*b573 + 9936*b423*b574 + 4002*b423*b575 + 4920*b423*b576 + 4320*b423*
    b577 + 1740*b423*b578 + 12136*b423*b579 + 10656*b423*b580 + 4292*b423*b581
     + 656*b423*b582 + 576*b423*b583 + 232*b423*b584 + 6888*b423*b588 + 6048*
    b423*b589 + 2436*b423*b590 + 9184*b423*b591 + 8064*b423*b592 + 3248*b423*
    b593 + 492*b423*b594 + 432*b423*b595 + 174*b423*b596 + 4920*b423*b597 + 
    4320*b423*b598 + 1740*b423*b599 + 1102*b423*b600 + 38*b423*b602 + 570*b423*
    b603 + 418*b423*b604 + 1330*b423*b605 + 418*b423*b606 + 760*b423*b607 + 798
    *b423*b608 + 2318*b423*b609 + 3040*b423*b610 + 2204*b423*b611 + 798*b423*
    b612 + 2888*b423*b613 + 2736*b423*b614 + 1672*b423*b615 + 3230*b423*b616 + 
    3572*b423*b617 + 3420*b423*b618 + 1938*b423*b619 + 114*b423*b620 + 1824*
    b423*b621 + 1102*b423*b622 + 3458*b423*b623 + 4264*b423*b624 + 3744*b423*
    b625 + 1508*b423*b626 + 924*b424*b443 + 6888*b424*b444 + 84*b424*b445 + 
    7560*b424*b447 + 5544*b424*b448 + 3444*b424*b449 + 1260*b424*b450 + 6972*
    b424*b451 + 8064*b424*b452 + 6216*b424*b453 + 3780*b424*b454 + 5460*b424*
    b455 + 3360*b424*b456 + 4536*b424*b457 + 1176*b424*b458 + 5964*b424*b459 + 
    6468*b424*b460 + 3024*b424*b461 + 4452*b424*b462 + 3108*b424*b463 + 2184*
    b424*b464 + 1232*b424*b465 + 9184*b424*b466 + 112*b424*b467 + 10080*b424*
    b469 + 7392*b424*b470 + 4592*b424*b471 + 1680*b424*b472 + 9296*b424*b473 + 
    10752*b424*b474 + 8288*b424*b475 + 5040*b424*b476 + 7280*b424*b477 + 4480*
    b424*b478 + 6048*b424*b479 + 1568*b424*b480 + 7952*b424*b481 + 8624*b424*
    b482 + 4032*b424*b483 + 5936*b424*b484 + 4144*b424*b485 + 2912*b424*b486 + 
    66*b424*b487 + 492*b424*b488 + 6*b424*b489 + 540*b424*b491 + 396*b424*b492
     + 246*b424*b493 + 90*b424*b494 + 498*b424*b495 + 576*b424*b496 + 444*b424*
    b497 + 270*b424*b498 + 390*b424*b499 + 240*b424*b500 + 324*b424*b501 + 84*
    b424*b502 + 426*b424*b503 + 462*b424*b504 + 216*b424*b505 + 318*b424*b506
     + 222*b424*b507 + 156*b424*b508 + 660*b424*b509 + 4920*b424*b510 + 60*b424
    *b511 + 5400*b424*b513 + 3960*b424*b514 + 2460*b424*b515 + 900*b424*b516 + 
    4980*b424*b517 + 5760*b424*b518 + 4440*b424*b519 + 2700*b424*b520 + 3900*
    b424*b521 + 2400*b424*b522 + 3240*b424*b523 + 840*b424*b524 + 4260*b424*
    b525 + 4620*b424*b526 + 2160*b424*b527 + 3180*b424*b528 + 2220*b424*b529 + 
    1560*b424*b530 + 784*b424*b531 + 1162*b424*b532 + 1218*b424*b533 + 8064*
    b424*b534 + 11952*b424*b535 + 12528*b424*b536 + 5040*b424*b537 + 7470*b424*
    b538 + 7830*b424*b539 + 4816*b424*b540 + 7138*b424*b541 + 7482*b424*b542 + 
    10416*b424*b543 + 15438*b424*b544 + 16182*b424*b545 + 6272*b424*b546 + 9296
    *b424*b547 + 9744*b424*b548 + 7952*b424*b549 + 11786*b424*b550 + 12354*b424
    *b551 + 9296*b424*b552 + 13778*b424*b553 + 14442*b424*b554 + 672*b424*b555
     + 996*b424*b556 + 1044*b424*b557 + 2352*b424*b558 + 3486*b424*b559 + 3654*
    b424*b560 + 7616*b424*b561 + 11288*b424*b562 + 11832*b424*b563 + 6384*b424*
    b564 + 9462*b424*b565 + 9918*b424*b566 + 2576*b424*b567 + 3818*b424*b568 + 
    4002*b424*b569 + 1680*b424*b570 + 2490*b424*b571 + 2610*b424*b572 + 7728*
    b424*b573 + 11454*b424*b574 + 12006*b424*b575 + 3360*b424*b576 + 4980*b424*
    b577 + 5220*b424*b578 + 8288*b424*b579 + 12284*b424*b580 + 12876*b424*b581
     + 448*b424*b582 + 664*b424*b583 + 696*b424*b584 + 4704*b424*b588 + 6972*
    b424*b589 + 7308*b424*b590 + 6272*b424*b591 + 9296*b424*b592 + 9744*b424*
    b593 + 336*b424*b594 + 498*b424*b595 + 522*b424*b596 + 3360*b424*b597 + 
    4980*b424*b598 + 5220*b424*b599 + 3116*b424*b600 + 38*b424*b601 + 3420*b424
    *b603 + 2508*b424*b604 + 1558*b424*b605 + 570*b424*b606 + 3154*b424*b607 + 
    3648*b424*b608 + 2812*b424*b609 + 1710*b424*b610 + 2470*b424*b611 + 1520*
    b424*b612 + 2052*b424*b613 + 3154*b424*b614 + 532*b424*b615 + 2698*b424*
    b616 + 2926*b424*b617 + 1368*b424*b618 + 2014*b424*b619 + 1406*b424*b620 + 
    988*b424*b621 + 3306*b424*b622 + 418*b424*b623 + 2912*b424*b624 + 4316*b424
    *b625 + 4524*b424*b626 + 2940*b425*b443 + 6888*b425*b444 + 1260*b425*b445
     + 7560*b425*b446 + 6384*b425*b448 + 7644*b425*b449 + 1092*b425*b450 + 2436
    *b425*b451 + 924*b425*b452 + 6468*b425*b453 + 2688*b425*b454 + 7308*b425*
    b455 + 5628*b425*b456 + 7896*b425*b457 + 168*b425*b458 + 840*b425*b459 + 
    8316*b425*b460 + 4704*b425*b461 + 5880*b425*b462 + 8316*b425*b463 + 5040*
    b425*b464 + 3920*b425*b465 + 9184*b425*b466 + 1680*b425*b467 + 10080*b425*
    b468 + 8512*b425*b470 + 10192*b425*b471 + 1456*b425*b472 + 3248*b425*b473
     + 1232*b425*b474 + 8624*b425*b475 + 3584*b425*b476 + 9744*b425*b477 + 7504
    *b425*b478 + 10528*b425*b479 + 224*b425*b480 + 1120*b425*b481 + 11088*b425*
    b482 + 6272*b425*b483 + 7840*b425*b484 + 11088*b425*b485 + 6720*b425*b486
     + 210*b425*b487 + 492*b425*b488 + 90*b425*b489 + 540*b425*b490 + 456*b425*
    b492 + 546*b425*b493 + 78*b425*b494 + 174*b425*b495 + 66*b425*b496 + 462*
    b425*b497 + 192*b425*b498 + 522*b425*b499 + 402*b425*b500 + 564*b425*b501
     + 12*b425*b502 + 60*b425*b503 + 594*b425*b504 + 336*b425*b505 + 420*b425*
    b506 + 594*b425*b507 + 360*b425*b508 + 2100*b425*b509 + 4920*b425*b510 + 
    900*b425*b511 + 5400*b425*b512 + 4560*b425*b514 + 5460*b425*b515 + 780*b425
    *b516 + 1740*b425*b517 + 660*b425*b518 + 4620*b425*b519 + 1920*b425*b520 + 
    5220*b425*b521 + 4020*b425*b522 + 5640*b425*b523 + 120*b425*b524 + 600*b425
    *b525 + 5940*b425*b526 + 3360*b425*b527 + 4200*b425*b528 + 5940*b425*b529
     + 3600*b425*b530 + 574*b425*b531 + 1106*b425*b532 + 56*b425*b533 + 5904*
    b425*b534 + 11376*b425*b535 + 576*b425*b536 + 3690*b425*b537 + 7110*b425*
    b538 + 360*b425*b539 + 3526*b425*b540 + 6794*b425*b541 + 344*b425*b542 + 
    7626*b425*b543 + 14694*b425*b544 + 744*b425*b545 + 4592*b425*b546 + 8848*
    b425*b547 + 448*b425*b548 + 5822*b425*b549 + 11218*b425*b550 + 568*b425*
    b551 + 6806*b425*b552 + 13114*b425*b553 + 664*b425*b554 + 492*b425*b555 + 
    948*b425*b556 + 48*b425*b557 + 1722*b425*b558 + 3318*b425*b559 + 168*b425*
    b560 + 5576*b425*b561 + 10744*b425*b562 + 544*b425*b563 + 4674*b425*b564 + 
    9006*b425*b565 + 456*b425*b566 + 1886*b425*b567 + 3634*b425*b568 + 184*b425
    *b569 + 1230*b425*b570 + 2370*b425*b571 + 120*b425*b572 + 5658*b425*b573 + 
    10902*b425*b574 + 552*b425*b575 + 2460*b425*b576 + 4740*b425*b577 + 240*
    b425*b578 + 6068*b425*b579 + 11692*b425*b580 + 592*b425*b581 + 328*b425*
    b582 + 632*b425*b583 + 32*b425*b584 + 3444*b425*b588 + 6636*b425*b589 + 336
    *b425*b590 + 4592*b425*b591 + 8848*b425*b592 + 448*b425*b593 + 246*b425*
    b594 + 474*b425*b595 + 24*b425*b596 + 2460*b425*b597 + 4740*b425*b598 + 240
    *b425*b599 + 3116*b425*b600 + 570*b425*b601 + 3420*b425*b602 + 2888*b425*
    b604 + 3458*b425*b605 + 494*b425*b606 + 1102*b425*b607 + 418*b425*b608 + 
    2926*b425*b609 + 1216*b425*b610 + 3306*b425*b611 + 2546*b425*b612 + 3572*
    b425*b613 + 3002*b425*b614 + 76*b425*b615 + 380*b425*b616 + 3762*b425*b617
     + 2128*b425*b618 + 2660*b425*b619 + 3762*b425*b620 + 2280*b425*b621 + 152*
    b425*b622 + 1330*b425*b623 + 2132*b425*b624 + 4108*b425*b625 + 208*b425*
    b626 + 6888*b426*b443 + 504*b426*b444 + 924*b426*b445 + 5544*b426*b446 + 
    6384*b426*b447 + 4704*b426*b449 + 168*b426*b450 + 5040*b426*b451 + 6048*
    b426*b452 + 6216*b426*b453 + 3864*b426*b454 + 1092*b426*b455 + 1680*b426*
    b456 + 7224*b426*b457 + 6468*b426*b458 + 1260*b426*b459 + 7476*b426*b460 + 
    4032*b426*b461 + 1176*b426*b462 + 7476*b426*b463 + 3696*b426*b464 + 9184*
    b426*b465 + 672*b426*b466 + 1232*b426*b467 + 7392*b426*b468 + 8512*b426*
    b469 + 6272*b426*b471 + 224*b426*b472 + 6720*b426*b473 + 8064*b426*b474 + 
    8288*b426*b475 + 5152*b426*b476 + 1456*b426*b477 + 2240*b426*b478 + 9632*
    b426*b479 + 8624*b426*b480 + 1680*b426*b481 + 9968*b426*b482 + 5376*b426*
    b483 + 1568*b426*b484 + 9968*b426*b485 + 4928*b426*b486 + 492*b426*b487 + 
    36*b426*b488 + 66*b426*b489 + 396*b426*b490 + 456*b426*b491 + 336*b426*b493
     + 12*b426*b494 + 360*b426*b495 + 432*b426*b496 + 444*b426*b497 + 276*b426*
    b498 + 78*b426*b499 + 120*b426*b500 + 516*b426*b501 + 462*b426*b502 + 90*
    b426*b503 + 534*b426*b504 + 288*b426*b505 + 84*b426*b506 + 534*b426*b507 + 
    264*b426*b508 + 4920*b426*b509 + 360*b426*b510 + 660*b426*b511 + 3960*b426*
    b512 + 4560*b426*b513 + 3360*b426*b515 + 120*b426*b516 + 3600*b426*b517 + 
    4320*b426*b518 + 4440*b426*b519 + 2760*b426*b520 + 780*b426*b521 + 1200*
    b426*b522 + 5160*b426*b523 + 4620*b426*b524 + 900*b426*b525 + 5340*b426*
    b526 + 2880*b426*b527 + 840*b426*b528 + 5340*b426*b529 + 2640*b426*b530 + 
    84*b426*b531 + 56*b426*b532 + 826*b426*b533 + 864*b426*b534 + 576*b426*b535
     + 8496*b426*b536 + 540*b426*b537 + 360*b426*b538 + 5310*b426*b539 + 516*
    b426*b540 + 344*b426*b541 + 5074*b426*b542 + 1116*b426*b543 + 744*b426*b544
     + 10974*b426*b545 + 672*b426*b546 + 448*b426*b547 + 6608*b426*b548 + 852*
    b426*b549 + 568*b426*b550 + 8378*b426*b551 + 996*b426*b552 + 664*b426*b553
     + 9794*b426*b554 + 72*b426*b555 + 48*b426*b556 + 708*b426*b557 + 252*b426*
    b558 + 168*b426*b559 + 2478*b426*b560 + 816*b426*b561 + 544*b426*b562 + 
    8024*b426*b563 + 684*b426*b564 + 456*b426*b565 + 6726*b426*b566 + 276*b426*
    b567 + 184*b426*b568 + 2714*b426*b569 + 180*b426*b570 + 120*b426*b571 + 
    1770*b426*b572 + 828*b426*b573 + 552*b426*b574 + 8142*b426*b575 + 360*b426*
    b576 + 240*b426*b577 + 3540*b426*b578 + 888*b426*b579 + 592*b426*b580 + 
    8732*b426*b581 + 48*b426*b582 + 32*b426*b583 + 472*b426*b584 + 504*b426*
    b588 + 336*b426*b589 + 4956*b426*b590 + 672*b426*b591 + 448*b426*b592 + 
    6608*b426*b593 + 36*b426*b594 + 24*b426*b595 + 354*b426*b596 + 360*b426*
    b597 + 240*b426*b598 + 3540*b426*b599 + 228*b426*b600 + 418*b426*b601 + 
    2508*b426*b602 + 2888*b426*b603 + 2128*b426*b605 + 76*b426*b606 + 2280*b426
    *b607 + 2736*b426*b608 + 2812*b426*b609 + 1748*b426*b610 + 494*b426*b611 + 
    760*b426*b612 + 3268*b426*b613 + 152*b426*b614 + 2926*b426*b615 + 570*b426*
    b616 + 3382*b426*b617 + 1824*b426*b618 + 532*b426*b619 + 3382*b426*b620 + 
    1672*b426*b621 + 2242*b426*b622 + 3116*b426*b623 + 312*b426*b624 + 208*b426
    *b625 + 3068*b426*b626 + 2184*b427*b443 + 5964*b427*b444 + 2940*b427*b445
     + 3444*b427*b446 + 7644*b427*b447 + 4704*b427*b448 + 1848*b427*b450 + 4788
    *b427*b451 + 5292*b427*b452 + 504*b427*b453 + 5208*b427*b455 + 3444*b427*
    b456 + 5208*b427*b457 + 2100*b427*b458 + 6300*b427*b459 + 6384*b427*b460 + 
    3360*b427*b461 + 5544*b427*b462 + 4872*b427*b463 + 2520*b427*b464 + 2912*
    b427*b465 + 7952*b427*b466 + 3920*b427*b467 + 4592*b427*b468 + 10192*b427*
    b469 + 6272*b427*b470 + 2464*b427*b472 + 6384*b427*b473 + 7056*b427*b474 + 
    672*b427*b475 + 6944*b427*b477 + 4592*b427*b478 + 6944*b427*b479 + 2800*
    b427*b480 + 8400*b427*b481 + 8512*b427*b482 + 4480*b427*b483 + 7392*b427*
    b484 + 6496*b427*b485 + 3360*b427*b486 + 156*b427*b487 + 426*b427*b488 + 
    210*b427*b489 + 246*b427*b490 + 546*b427*b491 + 336*b427*b492 + 132*b427*
    b494 + 342*b427*b495 + 378*b427*b496 + 36*b427*b497 + 372*b427*b499 + 246*
    b427*b500 + 372*b427*b501 + 150*b427*b502 + 450*b427*b503 + 456*b427*b504
     + 240*b427*b505 + 396*b427*b506 + 348*b427*b507 + 180*b427*b508 + 1560*
    b427*b509 + 4260*b427*b510 + 2100*b427*b511 + 2460*b427*b512 + 5460*b427*
    b513 + 3360*b427*b514 + 1320*b427*b516 + 3420*b427*b517 + 3780*b427*b518 + 
    360*b427*b519 + 3720*b427*b521 + 2460*b427*b522 + 3720*b427*b523 + 1500*
    b427*b524 + 4500*b427*b525 + 4560*b427*b526 + 2400*b427*b527 + 3960*b427*
    b528 + 3480*b427*b529 + 1800*b427*b530 + 350*b427*b531 + 644*b427*b532 + 
    952*b427*b533 + 3600*b427*b534 + 6624*b427*b535 + 9792*b427*b536 + 2250*
    b427*b537 + 4140*b427*b538 + 6120*b427*b539 + 2150*b427*b540 + 3956*b427*
    b541 + 5848*b427*b542 + 4650*b427*b543 + 8556*b427*b544 + 12648*b427*b545
     + 2800*b427*b546 + 5152*b427*b547 + 7616*b427*b548 + 3550*b427*b549 + 6532
    *b427*b550 + 9656*b427*b551 + 4150*b427*b552 + 7636*b427*b553 + 11288*b427*
    b554 + 300*b427*b555 + 552*b427*b556 + 816*b427*b557 + 1050*b427*b558 + 
    1932*b427*b559 + 2856*b427*b560 + 3400*b427*b561 + 6256*b427*b562 + 9248*
    b427*b563 + 2850*b427*b564 + 5244*b427*b565 + 7752*b427*b566 + 1150*b427*
    b567 + 2116*b427*b568 + 3128*b427*b569 + 750*b427*b570 + 1380*b427*b571 + 
    2040*b427*b572 + 3450*b427*b573 + 6348*b427*b574 + 9384*b427*b575 + 1500*
    b427*b576 + 2760*b427*b577 + 4080*b427*b578 + 3700*b427*b579 + 6808*b427*
    b580 + 10064*b427*b581 + 200*b427*b582 + 368*b427*b583 + 544*b427*b584 + 
    2100*b427*b588 + 3864*b427*b589 + 5712*b427*b590 + 2800*b427*b591 + 5152*
    b427*b592 + 7616*b427*b593 + 150*b427*b594 + 276*b427*b595 + 408*b427*b596
     + 1500*b427*b597 + 2760*b427*b598 + 4080*b427*b599 + 2698*b427*b600 + 1330
    *b427*b601 + 1558*b427*b602 + 3458*b427*b603 + 2128*b427*b604 + 836*b427*
    b606 + 2166*b427*b607 + 2394*b427*b608 + 228*b427*b609 + 2356*b427*b611 + 
    1558*b427*b612 + 2356*b427*b613 + 1748*b427*b614 + 950*b427*b615 + 2850*
    b427*b616 + 2888*b427*b617 + 1520*b427*b618 + 2508*b427*b619 + 2204*b427*
    b620 + 1140*b427*b621 + 2584*b427*b622 + 988*b427*b623 + 1300*b427*b624 + 
    2392*b427*b625 + 3536*b427*b626 + 5796*b428*b443 + 672*b428*b444 + 924*b428
    *b445 + 1260*b428*b446 + 1092*b428*b447 + 168*b428*b448 + 1848*b428*b449 + 
    6552*b428*b451 + 7644*b428*b452 + 1092*b428*b453 + 4956*b428*b454 + 4116*
    b428*b455 + 7140*b428*b456 + 7056*b428*b457 + 3192*b428*b458 + 3444*b428*
    b459 + 4704*b428*b460 + 3276*b428*b461 + 4452*b428*b462 + 6468*b428*b463 + 
    4200*b428*b464 + 7728*b428*b465 + 896*b428*b466 + 1232*b428*b467 + 1680*
    b428*b468 + 1456*b428*b469 + 224*b428*b470 + 2464*b428*b471 + 8736*b428*
    b473 + 10192*b428*b474 + 1456*b428*b475 + 6608*b428*b476 + 5488*b428*b477
     + 9520*b428*b478 + 9408*b428*b479 + 4256*b428*b480 + 4592*b428*b481 + 6272
    *b428*b482 + 4368*b428*b483 + 5936*b428*b484 + 8624*b428*b485 + 5600*b428*
    b486 + 414*b428*b487 + 48*b428*b488 + 66*b428*b489 + 90*b428*b490 + 78*b428
    *b491 + 12*b428*b492 + 132*b428*b493 + 468*b428*b495 + 546*b428*b496 + 78*
    b428*b497 + 354*b428*b498 + 294*b428*b499 + 510*b428*b500 + 504*b428*b501
     + 228*b428*b502 + 246*b428*b503 + 336*b428*b504 + 234*b428*b505 + 318*b428
    *b506 + 462*b428*b507 + 300*b428*b508 + 4140*b428*b509 + 480*b428*b510 + 
    660*b428*b511 + 900*b428*b512 + 780*b428*b513 + 120*b428*b514 + 1320*b428*
    b515 + 4680*b428*b517 + 5460*b428*b518 + 780*b428*b519 + 3540*b428*b520 + 
    2940*b428*b521 + 5100*b428*b522 + 5040*b428*b523 + 2280*b428*b524 + 2460*
    b428*b525 + 3360*b428*b526 + 2340*b428*b527 + 3180*b428*b528 + 4620*b428*
    b529 + 3000*b428*b530 + 140*b428*b531 + 112*b428*b532 + 420*b428*b533 + 
    1440*b428*b534 + 1152*b428*b535 + 4320*b428*b536 + 900*b428*b537 + 720*b428
    *b538 + 2700*b428*b539 + 860*b428*b540 + 688*b428*b541 + 2580*b428*b542 + 
    1860*b428*b543 + 1488*b428*b544 + 5580*b428*b545 + 1120*b428*b546 + 896*
    b428*b547 + 3360*b428*b548 + 1420*b428*b549 + 1136*b428*b550 + 4260*b428*
    b551 + 1660*b428*b552 + 1328*b428*b553 + 4980*b428*b554 + 120*b428*b555 + 
    96*b428*b556 + 360*b428*b557 + 420*b428*b558 + 336*b428*b559 + 1260*b428*
    b560 + 1360*b428*b561 + 1088*b428*b562 + 4080*b428*b563 + 1140*b428*b564 + 
    912*b428*b565 + 3420*b428*b566 + 460*b428*b567 + 368*b428*b568 + 1380*b428*
    b569 + 300*b428*b570 + 240*b428*b571 + 900*b428*b572 + 1380*b428*b573 + 
    1104*b428*b574 + 4140*b428*b575 + 600*b428*b576 + 480*b428*b577 + 1800*b428
    *b578 + 1480*b428*b579 + 1184*b428*b580 + 4440*b428*b581 + 80*b428*b582 + 
    64*b428*b583 + 240*b428*b584 + 840*b428*b588 + 672*b428*b589 + 2520*b428*
    b590 + 1120*b428*b591 + 896*b428*b592 + 3360*b428*b593 + 60*b428*b594 + 48*
    b428*b595 + 180*b428*b596 + 600*b428*b597 + 480*b428*b598 + 1800*b428*b599
     + 304*b428*b600 + 418*b428*b601 + 570*b428*b602 + 494*b428*b603 + 76*b428*
    b604 + 836*b428*b605 + 2964*b428*b607 + 3458*b428*b608 + 494*b428*b609 + 
    2242*b428*b610 + 1862*b428*b611 + 3230*b428*b612 + 3192*b428*b613 + 304*
    b428*b614 + 1444*b428*b615 + 1558*b428*b616 + 2128*b428*b617 + 1482*b428*
    b618 + 2014*b428*b619 + 2926*b428*b620 + 1900*b428*b621 + 1140*b428*b622 + 
    2622*b428*b623 + 520*b428*b624 + 416*b428*b625 + 1560*b428*b626 + 4704*b429
    *b443 + 6468*b429*b444 + 1680*b429*b445 + 6972*b429*b446 + 2436*b429*b447
     + 5040*b429*b448 + 4788*b429*b449 + 6552*b429*b450 + 4872*b429*b452 + 4620
    *b429*b453 + 1596*b429*b454 + 7140*b429*b455 + 4368*b429*b456 + 2856*b429*
    b457 + 3360*b429*b458 + 5796*b429*b459 + 1008*b429*b460 + 7140*b429*b461 + 
    6048*b429*b462 + 588*b429*b463 + 4116*b429*b464 + 6272*b429*b465 + 8624*
    b429*b466 + 2240*b429*b467 + 9296*b429*b468 + 3248*b429*b469 + 6720*b429*
    b470 + 6384*b429*b471 + 8736*b429*b472 + 6496*b429*b474 + 6160*b429*b475 + 
    2128*b429*b476 + 9520*b429*b477 + 5824*b429*b478 + 3808*b429*b479 + 4480*
    b429*b480 + 7728*b429*b481 + 1344*b429*b482 + 9520*b429*b483 + 8064*b429*
    b484 + 784*b429*b485 + 5488*b429*b486 + 336*b429*b487 + 462*b429*b488 + 120
    *b429*b489 + 498*b429*b490 + 174*b429*b491 + 360*b429*b492 + 342*b429*b493
     + 468*b429*b494 + 348*b429*b496 + 330*b429*b497 + 114*b429*b498 + 510*b429
    *b499 + 312*b429*b500 + 204*b429*b501 + 240*b429*b502 + 414*b429*b503 + 72*
    b429*b504 + 510*b429*b505 + 432*b429*b506 + 42*b429*b507 + 294*b429*b508 + 
    3360*b429*b509 + 4620*b429*b510 + 1200*b429*b511 + 4980*b429*b512 + 1740*
    b429*b513 + 3600*b429*b514 + 3420*b429*b515 + 4680*b429*b516 + 3480*b429*
    b518 + 3300*b429*b519 + 1140*b429*b520 + 5100*b429*b521 + 3120*b429*b522 + 
    2040*b429*b523 + 2400*b429*b524 + 4140*b429*b525 + 720*b429*b526 + 5100*
    b429*b527 + 4320*b429*b528 + 420*b429*b529 + 2940*b429*b530 + 56*b429*b531
     + 742*b429*b532 + 644*b429*b533 + 576*b429*b534 + 7632*b429*b535 + 6624*
    b429*b536 + 360*b429*b537 + 4770*b429*b538 + 4140*b429*b539 + 344*b429*b540
     + 4558*b429*b541 + 3956*b429*b542 + 744*b429*b543 + 9858*b429*b544 + 8556*
    b429*b545 + 448*b429*b546 + 5936*b429*b547 + 5152*b429*b548 + 568*b429*b549
     + 7526*b429*b550 + 6532*b429*b551 + 664*b429*b552 + 8798*b429*b553 + 7636*
    b429*b554 + 48*b429*b555 + 636*b429*b556 + 552*b429*b557 + 168*b429*b558 + 
    2226*b429*b559 + 1932*b429*b560 + 544*b429*b561 + 7208*b429*b562 + 6256*
    b429*b563 + 456*b429*b564 + 6042*b429*b565 + 5244*b429*b566 + 184*b429*b567
     + 2438*b429*b568 + 2116*b429*b569 + 120*b429*b570 + 1590*b429*b571 + 1380*
    b429*b572 + 552*b429*b573 + 7314*b429*b574 + 6348*b429*b575 + 240*b429*b576
     + 3180*b429*b577 + 2760*b429*b578 + 592*b429*b579 + 7844*b429*b580 + 6808*
    b429*b581 + 32*b429*b582 + 424*b429*b583 + 368*b429*b584 + 336*b429*b588 + 
    4452*b429*b589 + 3864*b429*b590 + 448*b429*b591 + 5936*b429*b592 + 5152*
    b429*b593 + 24*b429*b594 + 318*b429*b595 + 276*b429*b596 + 240*b429*b597 + 
    3180*b429*b598 + 2760*b429*b599 + 2926*b429*b600 + 760*b429*b601 + 3154*
    b429*b602 + 1102*b429*b603 + 2280*b429*b604 + 2166*b429*b605 + 2964*b429*
    b606 + 2204*b429*b608 + 2090*b429*b609 + 722*b429*b610 + 3230*b429*b611 + 
    1976*b429*b612 + 1292*b429*b613 + 2014*b429*b614 + 1520*b429*b615 + 2622*
    b429*b616 + 456*b429*b617 + 3230*b429*b618 + 2736*b429*b619 + 266*b429*b620
     + 1862*b429*b621 + 1748*b429*b622 + 2128*b429*b623 + 208*b429*b624 + 2756*
    b429*b625 + 2392*b429*b626 + 7224*b430*b443 + 6216*b430*b444 + 1764*b430*
    b445 + 8064*b430*b446 + 924*b430*b447 + 6048*b430*b448 + 5292*b430*b449 + 
    7644*b430*b450 + 4872*b430*b451 + 7308*b430*b453 + 4872*b430*b454 + 1428*
    b430*b455 + 5712*b430*b456 + 2268*b430*b457 + 504*b430*b458 + 5628*b430*
    b459 + 2184*b430*b460 + 6888*b430*b461 + 3696*b430*b462 + 2940*b430*b463 + 
    252*b430*b464 + 9632*b430*b465 + 8288*b430*b466 + 2352*b430*b467 + 10752*
    b430*b468 + 1232*b430*b469 + 8064*b430*b470 + 7056*b430*b471 + 10192*b430*
    b472 + 6496*b430*b473 + 9744*b430*b475 + 6496*b430*b476 + 1904*b430*b477 + 
    7616*b430*b478 + 3024*b430*b479 + 672*b430*b480 + 7504*b430*b481 + 2912*
    b430*b482 + 9184*b430*b483 + 4928*b430*b484 + 3920*b430*b485 + 336*b430*
    b486 + 516*b430*b487 + 444*b430*b488 + 126*b430*b489 + 576*b430*b490 + 66*
    b430*b491 + 432*b430*b492 + 378*b430*b493 + 546*b430*b494 + 348*b430*b495
     + 522*b430*b497 + 348*b430*b498 + 102*b430*b499 + 408*b430*b500 + 162*b430
    *b501 + 36*b430*b502 + 402*b430*b503 + 156*b430*b504 + 492*b430*b505 + 264*
    b430*b506 + 210*b430*b507 + 18*b430*b508 + 5160*b430*b509 + 4440*b430*b510
     + 1260*b430*b511 + 5760*b430*b512 + 660*b430*b513 + 4320*b430*b514 + 3780*
    b430*b515 + 5460*b430*b516 + 3480*b430*b517 + 5220*b430*b519 + 3480*b430*
    b520 + 1020*b430*b521 + 4080*b430*b522 + 1620*b430*b523 + 360*b430*b524 + 
    4020*b430*b525 + 1560*b430*b526 + 4920*b430*b527 + 2640*b430*b528 + 2100*
    b430*b529 + 180*b430*b530 + 882*b430*b531 + 294*b430*b532 + 868*b430*b533
     + 9072*b430*b534 + 3024*b430*b535 + 8928*b430*b536 + 5670*b430*b537 + 1890
    *b430*b538 + 5580*b430*b539 + 5418*b430*b540 + 1806*b430*b541 + 5332*b430*
    b542 + 11718*b430*b543 + 3906*b430*b544 + 11532*b430*b545 + 7056*b430*b546
     + 2352*b430*b547 + 6944*b430*b548 + 8946*b430*b549 + 2982*b430*b550 + 8804
    *b430*b551 + 10458*b430*b552 + 3486*b430*b553 + 10292*b430*b554 + 756*b430*
    b555 + 252*b430*b556 + 744*b430*b557 + 2646*b430*b558 + 882*b430*b559 + 
    2604*b430*b560 + 8568*b430*b561 + 2856*b430*b562 + 8432*b430*b563 + 7182*
    b430*b564 + 2394*b430*b565 + 7068*b430*b566 + 2898*b430*b567 + 966*b430*
    b568 + 2852*b430*b569 + 1890*b430*b570 + 630*b430*b571 + 1860*b430*b572 + 
    8694*b430*b573 + 2898*b430*b574 + 8556*b430*b575 + 3780*b430*b576 + 1260*
    b430*b577 + 3720*b430*b578 + 9324*b430*b579 + 3108*b430*b580 + 9176*b430*
    b581 + 504*b430*b582 + 168*b430*b583 + 496*b430*b584 + 5292*b430*b588 + 
    1764*b430*b589 + 5208*b430*b590 + 7056*b430*b591 + 2352*b430*b592 + 6944*
    b430*b593 + 378*b430*b594 + 126*b430*b595 + 372*b430*b596 + 3780*b430*b597
     + 1260*b430*b598 + 3720*b430*b599 + 2812*b430*b600 + 798*b430*b601 + 3648*
    b430*b602 + 418*b430*b603 + 2736*b430*b604 + 2394*b430*b605 + 3458*b430*
    b606 + 2204*b430*b607 + 3306*b430*b609 + 2204*b430*b610 + 646*b430*b611 + 
    2584*b430*b612 + 1026*b430*b613 + 798*b430*b614 + 228*b430*b615 + 2546*b430
    *b616 + 988*b430*b617 + 3116*b430*b618 + 1672*b430*b619 + 1330*b430*b620 + 
    114*b430*b621 + 2356*b430*b622 + 3268*b430*b623 + 3276*b430*b624 + 1092*
    b430*b625 + 3224*b430*b626 + 3780*b431*b443 + 2520*b431*b444 + 5124*b431*
    b445 + 6216*b431*b446 + 6468*b431*b447 + 6216*b431*b448 + 504*b431*b449 + 
    1092*b431*b450 + 4620*b431*b451 + 7308*b431*b452 + 672*b431*b454 + 4284*
    b431*b455 + 84*b431*b456 + 7644*b431*b457 + 7308*b431*b458 + 6048*b431*b459
     + 3780*b431*b460 + 8064*b431*b461 + 588*b431*b462 + 7308*b431*b463 + 5712*
    b431*b464 + 5040*b431*b465 + 3360*b431*b466 + 6832*b431*b467 + 8288*b431*
    b468 + 8624*b431*b469 + 8288*b431*b470 + 672*b431*b471 + 1456*b431*b472 + 
    6160*b431*b473 + 9744*b431*b474 + 896*b431*b476 + 5712*b431*b477 + 112*b431
    *b478 + 10192*b431*b479 + 9744*b431*b480 + 8064*b431*b481 + 5040*b431*b482
     + 10752*b431*b483 + 784*b431*b484 + 9744*b431*b485 + 7616*b431*b486 + 270*
    b431*b487 + 180*b431*b488 + 366*b431*b489 + 444*b431*b490 + 462*b431*b491
     + 444*b431*b492 + 36*b431*b493 + 78*b431*b494 + 330*b431*b495 + 522*b431*
    b496 + 48*b431*b498 + 306*b431*b499 + 6*b431*b500 + 546*b431*b501 + 522*
    b431*b502 + 432*b431*b503 + 270*b431*b504 + 576*b431*b505 + 42*b431*b506 + 
    522*b431*b507 + 408*b431*b508 + 2700*b431*b509 + 1800*b431*b510 + 3660*b431
    *b511 + 4440*b431*b512 + 4620*b431*b513 + 4440*b431*b514 + 360*b431*b515 + 
    780*b431*b516 + 3300*b431*b517 + 5220*b431*b518 + 480*b431*b520 + 3060*b431
    *b521 + 60*b431*b522 + 5460*b431*b523 + 5220*b431*b524 + 4320*b431*b525 + 
    2700*b431*b526 + 5760*b431*b527 + 420*b431*b528 + 5220*b431*b529 + 4080*
    b431*b530 + 84*b431*b531 + 546*b431*b532 + 462*b431*b533 + 864*b431*b534 + 
    5616*b431*b535 + 4752*b431*b536 + 540*b431*b537 + 3510*b431*b538 + 2970*
    b431*b539 + 516*b431*b540 + 3354*b431*b541 + 2838*b431*b542 + 1116*b431*
    b543 + 7254*b431*b544 + 6138*b431*b545 + 672*b431*b546 + 4368*b431*b547 + 
    3696*b431*b548 + 852*b431*b549 + 5538*b431*b550 + 4686*b431*b551 + 996*b431
    *b552 + 6474*b431*b553 + 5478*b431*b554 + 72*b431*b555 + 468*b431*b556 + 
    396*b431*b557 + 252*b431*b558 + 1638*b431*b559 + 1386*b431*b560 + 816*b431*
    b561 + 5304*b431*b562 + 4488*b431*b563 + 684*b431*b564 + 4446*b431*b565 + 
    3762*b431*b566 + 276*b431*b567 + 1794*b431*b568 + 1518*b431*b569 + 180*b431
    *b570 + 1170*b431*b571 + 990*b431*b572 + 828*b431*b573 + 5382*b431*b574 + 
    4554*b431*b575 + 360*b431*b576 + 2340*b431*b577 + 1980*b431*b578 + 888*b431
    *b579 + 5772*b431*b580 + 4884*b431*b581 + 48*b431*b582 + 312*b431*b583 + 
    264*b431*b584 + 504*b431*b588 + 3276*b431*b589 + 2772*b431*b590 + 672*b431*
    b591 + 4368*b431*b592 + 3696*b431*b593 + 36*b431*b594 + 234*b431*b595 + 198
    *b431*b596 + 360*b431*b597 + 2340*b431*b598 + 1980*b431*b599 + 1140*b431*
    b600 + 2318*b431*b601 + 2812*b431*b602 + 2926*b431*b603 + 2812*b431*b604 + 
    228*b431*b605 + 494*b431*b606 + 2090*b431*b607 + 3306*b431*b608 + 304*b431*
    b610 + 1938*b431*b611 + 38*b431*b612 + 3458*b431*b613 + 1482*b431*b614 + 
    3306*b431*b615 + 2736*b431*b616 + 1710*b431*b617 + 3648*b431*b618 + 266*
    b431*b619 + 3306*b431*b620 + 2584*b431*b621 + 1254*b431*b622 + 1710*b431*
    b623 + 312*b431*b624 + 2028*b431*b625 + 1716*b431*b626 + 7644*b432*b443 + 
    7476*b432*b444 + 6720*b432*b445 + 3780*b432*b446 + 2688*b432*b447 + 3864*
    b432*b448 + 4956*b432*b450 + 1596*b432*b451 + 4872*b432*b452 + 672*b432*
    b453 + 252*b432*b455 + 1764*b432*b456 + 7560*b432*b457 + 3948*b432*b458 + 
    2100*b432*b459 + 2520*b432*b460 + 3612*b432*b461 + 8148*b432*b462 + 2772*
    b432*b463 + 2940*b432*b464 + 10192*b432*b465 + 9968*b432*b466 + 8960*b432*
    b467 + 5040*b432*b468 + 3584*b432*b469 + 5152*b432*b470 + 6608*b432*b472 + 
    2128*b432*b473 + 6496*b432*b474 + 896*b432*b475 + 336*b432*b477 + 2352*b432
    *b478 + 10080*b432*b479 + 5264*b432*b480 + 2800*b432*b481 + 3360*b432*b482
     + 4816*b432*b483 + 10864*b432*b484 + 3696*b432*b485 + 3920*b432*b486 + 546
    *b432*b487 + 534*b432*b488 + 480*b432*b489 + 270*b432*b490 + 192*b432*b491
     + 276*b432*b492 + 354*b432*b494 + 114*b432*b495 + 348*b432*b496 + 48*b432*
    b497 + 18*b432*b499 + 126*b432*b500 + 540*b432*b501 + 282*b432*b502 + 150*
    b432*b503 + 180*b432*b504 + 258*b432*b505 + 582*b432*b506 + 198*b432*b507
     + 210*b432*b508 + 5460*b432*b509 + 5340*b432*b510 + 4800*b432*b511 + 2700*
    b432*b512 + 1920*b432*b513 + 2760*b432*b514 + 3540*b432*b516 + 1140*b432*
    b517 + 3480*b432*b518 + 480*b432*b519 + 180*b432*b521 + 1260*b432*b522 + 
    5400*b432*b523 + 2820*b432*b524 + 1500*b432*b525 + 1800*b432*b526 + 2580*
    b432*b527 + 5820*b432*b528 + 1980*b432*b529 + 2100*b432*b530 + 616*b432*
    b531 + 630*b432*b532 + 854*b432*b533 + 6336*b432*b534 + 6480*b432*b535 + 
    8784*b432*b536 + 3960*b432*b537 + 4050*b432*b538 + 5490*b432*b539 + 3784*
    b432*b540 + 3870*b432*b541 + 5246*b432*b542 + 8184*b432*b543 + 8370*b432*
    b544 + 11346*b432*b545 + 4928*b432*b546 + 5040*b432*b547 + 6832*b432*b548
     + 6248*b432*b549 + 6390*b432*b550 + 8662*b432*b551 + 7304*b432*b552 + 7470
    *b432*b553 + 10126*b432*b554 + 528*b432*b555 + 540*b432*b556 + 732*b432*
    b557 + 1848*b432*b558 + 1890*b432*b559 + 2562*b432*b560 + 5984*b432*b561 + 
    6120*b432*b562 + 8296*b432*b563 + 5016*b432*b564 + 5130*b432*b565 + 6954*
    b432*b566 + 2024*b432*b567 + 2070*b432*b568 + 2806*b432*b569 + 1320*b432*
    b570 + 1350*b432*b571 + 1830*b432*b572 + 6072*b432*b573 + 6210*b432*b574 + 
    8418*b432*b575 + 2640*b432*b576 + 2700*b432*b577 + 3660*b432*b578 + 6512*
    b432*b579 + 6660*b432*b580 + 9028*b432*b581 + 352*b432*b582 + 360*b432*b583
     + 488*b432*b584 + 3696*b432*b588 + 3780*b432*b589 + 5124*b432*b590 + 4928*
    b432*b591 + 5040*b432*b592 + 6832*b432*b593 + 264*b432*b594 + 270*b432*b595
     + 366*b432*b596 + 2640*b432*b597 + 2700*b432*b598 + 3660*b432*b599 + 3382*
    b432*b600 + 3040*b432*b601 + 1710*b432*b602 + 1216*b432*b603 + 1748*b432*
    b604 + 2242*b432*b606 + 722*b432*b607 + 2204*b432*b608 + 304*b432*b609 + 
    114*b432*b611 + 798*b432*b612 + 3420*b432*b613 + 1710*b432*b614 + 1786*b432
    *b615 + 950*b432*b616 + 1140*b432*b617 + 1634*b432*b618 + 3686*b432*b619 + 
    1254*b432*b620 + 1330*b432*b621 + 2318*b432*b622 + 3458*b432*b623 + 2288*
    b432*b624 + 2340*b432*b625 + 3172*b432*b626 + 4956*b433*b443 + 6384*b433*
    b444 + 4872*b433*b445 + 5460*b433*b446 + 7308*b433*b447 + 1092*b433*b448 + 
    5208*b433*b449 + 4116*b433*b450 + 7140*b433*b451 + 1428*b433*b452 + 4284*
    b433*b453 + 252*b433*b454 + 3528*b433*b456 + 3024*b433*b457 + 588*b433*b458
     + 7056*b433*b459 + 504*b433*b460 + 4032*b433*b463 + 5208*b433*b464 + 6608*
    b433*b465 + 8512*b433*b466 + 6496*b433*b467 + 7280*b433*b468 + 9744*b433*
    b469 + 1456*b433*b470 + 6944*b433*b471 + 5488*b433*b472 + 9520*b433*b473 + 
    1904*b433*b474 + 5712*b433*b475 + 336*b433*b476 + 4704*b433*b478 + 4032*
    b433*b479 + 784*b433*b480 + 9408*b433*b481 + 672*b433*b482 + 5376*b433*b485
     + 6944*b433*b486 + 354*b433*b487 + 456*b433*b488 + 348*b433*b489 + 390*
    b433*b490 + 522*b433*b491 + 78*b433*b492 + 372*b433*b493 + 294*b433*b494 + 
    510*b433*b495 + 102*b433*b496 + 306*b433*b497 + 18*b433*b498 + 252*b433*
    b500 + 216*b433*b501 + 42*b433*b502 + 504*b433*b503 + 36*b433*b504 + 288*
    b433*b507 + 372*b433*b508 + 3540*b433*b509 + 4560*b433*b510 + 3480*b433*
    b511 + 3900*b433*b512 + 5220*b433*b513 + 780*b433*b514 + 3720*b433*b515 + 
    2940*b433*b516 + 5100*b433*b517 + 1020*b433*b518 + 3060*b433*b519 + 180*
    b433*b520 + 2520*b433*b522 + 2160*b433*b523 + 420*b433*b524 + 5040*b433*
    b525 + 360*b433*b526 + 2880*b433*b529 + 3720*b433*b530 + 560*b433*b531 + 
    602*b433*b532 + 826*b433*b533 + 5760*b433*b534 + 6192*b433*b535 + 8496*b433
    *b536 + 3600*b433*b537 + 3870*b433*b538 + 5310*b433*b539 + 3440*b433*b540
     + 3698*b433*b541 + 5074*b433*b542 + 7440*b433*b543 + 7998*b433*b544 + 
    10974*b433*b545 + 4480*b433*b546 + 4816*b433*b547 + 6608*b433*b548 + 5680*
    b433*b549 + 6106*b433*b550 + 8378*b433*b551 + 6640*b433*b552 + 7138*b433*
    b553 + 9794*b433*b554 + 480*b433*b555 + 516*b433*b556 + 708*b433*b557 + 
    1680*b433*b558 + 1806*b433*b559 + 2478*b433*b560 + 5440*b433*b561 + 5848*
    b433*b562 + 8024*b433*b563 + 4560*b433*b564 + 4902*b433*b565 + 6726*b433*
    b566 + 1840*b433*b567 + 1978*b433*b568 + 2714*b433*b569 + 1200*b433*b570 + 
    1290*b433*b571 + 1770*b433*b572 + 5520*b433*b573 + 5934*b433*b574 + 8142*
    b433*b575 + 2400*b433*b576 + 2580*b433*b577 + 3540*b433*b578 + 5920*b433*
    b579 + 6364*b433*b580 + 8732*b433*b581 + 320*b433*b582 + 344*b433*b583 + 
    472*b433*b584 + 3360*b433*b588 + 3612*b433*b589 + 4956*b433*b590 + 4480*
    b433*b591 + 4816*b433*b592 + 6608*b433*b593 + 240*b433*b594 + 258*b433*b595
     + 354*b433*b596 + 2400*b433*b597 + 2580*b433*b598 + 3540*b433*b599 + 2888*
    b433*b600 + 2204*b433*b601 + 2470*b433*b602 + 3306*b433*b603 + 494*b433*
    b604 + 2356*b433*b605 + 1862*b433*b606 + 3230*b433*b607 + 646*b433*b608 + 
    1938*b433*b609 + 114*b433*b610 + 1596*b433*b612 + 1368*b433*b613 + 1634*
    b433*b614 + 266*b433*b615 + 3192*b433*b616 + 228*b433*b617 + 1824*b433*b620
     + 2356*b433*b621 + 2242*b433*b622 + 2242*b433*b623 + 2080*b433*b624 + 2236
    *b433*b625 + 3068*b433*b626 + 1512*b434*b443 + 6384*b434*b444 + 1764*b434*
    b445 + 3360*b434*b446 + 5628*b434*b447 + 1680*b434*b448 + 3444*b434*b449 + 
    7140*b434*b450 + 4368*b434*b451 + 5712*b434*b452 + 84*b434*b453 + 1764*b434
    *b454 + 3528*b434*b455 + 2436*b434*b457 + 6888*b434*b458 + 2436*b434*b459
     + 252*b434*b460 + 252*b434*b461 + 4284*b434*b462 + 5628*b434*b463 + 3276*
    b434*b464 + 2016*b434*b465 + 8512*b434*b466 + 2352*b434*b467 + 4480*b434*
    b468 + 7504*b434*b469 + 2240*b434*b470 + 4592*b434*b471 + 9520*b434*b472 + 
    5824*b434*b473 + 7616*b434*b474 + 112*b434*b475 + 2352*b434*b476 + 4704*
    b434*b477 + 3248*b434*b479 + 9184*b434*b480 + 3248*b434*b481 + 336*b434*
    b482 + 336*b434*b483 + 5712*b434*b484 + 7504*b434*b485 + 4368*b434*b486 + 
    108*b434*b487 + 456*b434*b488 + 126*b434*b489 + 240*b434*b490 + 402*b434*
    b491 + 120*b434*b492 + 246*b434*b493 + 510*b434*b494 + 312*b434*b495 + 408*
    b434*b496 + 6*b434*b497 + 126*b434*b498 + 252*b434*b499 + 174*b434*b501 + 
    492*b434*b502 + 174*b434*b503 + 18*b434*b504 + 18*b434*b505 + 306*b434*b506
     + 402*b434*b507 + 234*b434*b508 + 1080*b434*b509 + 4560*b434*b510 + 1260*
    b434*b511 + 2400*b434*b512 + 4020*b434*b513 + 1200*b434*b514 + 2460*b434*
    b515 + 5100*b434*b516 + 3120*b434*b517 + 4080*b434*b518 + 60*b434*b519 + 
    1260*b434*b520 + 2520*b434*b521 + 1740*b434*b523 + 4920*b434*b524 + 1740*
    b434*b525 + 180*b434*b526 + 180*b434*b527 + 3060*b434*b528 + 4020*b434*b529
     + 2340*b434*b530 + 1050*b434*b531 + 1316*b434*b532 + 210*b434*b533 + 10800
    *b434*b534 + 13536*b434*b535 + 2160*b434*b536 + 6750*b434*b537 + 8460*b434*
    b538 + 1350*b434*b539 + 6450*b434*b540 + 8084*b434*b541 + 1290*b434*b542 + 
    13950*b434*b543 + 17484*b434*b544 + 2790*b434*b545 + 8400*b434*b546 + 10528
    *b434*b547 + 1680*b434*b548 + 10650*b434*b549 + 13348*b434*b550 + 2130*b434
    *b551 + 12450*b434*b552 + 15604*b434*b553 + 2490*b434*b554 + 900*b434*b555
     + 1128*b434*b556 + 180*b434*b557 + 3150*b434*b558 + 3948*b434*b559 + 630*
    b434*b560 + 10200*b434*b561 + 12784*b434*b562 + 2040*b434*b563 + 8550*b434*
    b564 + 10716*b434*b565 + 1710*b434*b566 + 3450*b434*b567 + 4324*b434*b568
     + 690*b434*b569 + 2250*b434*b570 + 2820*b434*b571 + 450*b434*b572 + 10350*
    b434*b573 + 12972*b434*b574 + 2070*b434*b575 + 4500*b434*b576 + 5640*b434*
    b577 + 900*b434*b578 + 11100*b434*b579 + 13912*b434*b580 + 2220*b434*b581
     + 600*b434*b582 + 752*b434*b583 + 120*b434*b584 + 6300*b434*b588 + 7896*
    b434*b589 + 1260*b434*b590 + 8400*b434*b591 + 10528*b434*b592 + 1680*b434*
    b593 + 450*b434*b594 + 564*b434*b595 + 90*b434*b596 + 4500*b434*b597 + 5640
    *b434*b598 + 900*b434*b599 + 2888*b434*b600 + 798*b434*b601 + 1520*b434*
    b602 + 2546*b434*b603 + 760*b434*b604 + 1558*b434*b605 + 3230*b434*b606 + 
    1976*b434*b607 + 2584*b434*b608 + 38*b434*b609 + 798*b434*b610 + 1596*b434*
    b611 + 1102*b434*b613 + 3572*b434*b614 + 3116*b434*b615 + 1102*b434*b616 + 
    114*b434*b617 + 114*b434*b618 + 1938*b434*b619 + 2546*b434*b620 + 1482*b434
    *b621 + 570*b434*b622 + 684*b434*b623 + 3900*b434*b624 + 4888*b434*b625 + 
    780*b434*b626 + 6384*b435*b443 + 3360*b435*b444 + 6384*b435*b445 + 4536*
    b435*b446 + 7896*b435*b447 + 7224*b435*b448 + 5208*b435*b449 + 7056*b435*
    b450 + 2856*b435*b451 + 2268*b435*b452 + 7644*b435*b453 + 7560*b435*b454 + 
    3024*b435*b455 + 2436*b435*b456 + 3528*b435*b458 + 1932*b435*b459 + 5208*
    b435*b460 + 5208*b435*b461 + 2352*b435*b462 + 6384*b435*b463 + 5544*b435*
    b464 + 8512*b435*b465 + 4480*b435*b466 + 8512*b435*b467 + 6048*b435*b468 + 
    10528*b435*b469 + 9632*b435*b470 + 6944*b435*b471 + 9408*b435*b472 + 3808*
    b435*b473 + 3024*b435*b474 + 10192*b435*b475 + 10080*b435*b476 + 4032*b435*
    b477 + 3248*b435*b478 + 4704*b435*b480 + 2576*b435*b481 + 6944*b435*b482 + 
    6944*b435*b483 + 3136*b435*b484 + 8512*b435*b485 + 7392*b435*b486 + 456*
    b435*b487 + 240*b435*b488 + 456*b435*b489 + 324*b435*b490 + 564*b435*b491
     + 516*b435*b492 + 372*b435*b493 + 504*b435*b494 + 204*b435*b495 + 162*b435
    *b496 + 546*b435*b497 + 540*b435*b498 + 216*b435*b499 + 174*b435*b500 + 252
    *b435*b502 + 138*b435*b503 + 372*b435*b504 + 372*b435*b505 + 168*b435*b506
     + 456*b435*b507 + 396*b435*b508 + 4560*b435*b509 + 2400*b435*b510 + 4560*
    b435*b511 + 3240*b435*b512 + 5640*b435*b513 + 5160*b435*b514 + 3720*b435*
    b515 + 5040*b435*b516 + 2040*b435*b517 + 1620*b435*b518 + 5460*b435*b519 + 
    5400*b435*b520 + 2160*b435*b521 + 1740*b435*b522 + 2520*b435*b524 + 1380*
    b435*b525 + 3720*b435*b526 + 3720*b435*b527 + 1680*b435*b528 + 4560*b435*
    b529 + 3960*b435*b530 + 1106*b435*b531 + 924*b435*b532 + 1148*b435*b533 + 
    11376*b435*b534 + 9504*b435*b535 + 11808*b435*b536 + 7110*b435*b537 + 5940*
    b435*b538 + 7380*b435*b539 + 6794*b435*b540 + 5676*b435*b541 + 7052*b435*
    b542 + 14694*b435*b543 + 12276*b435*b544 + 15252*b435*b545 + 8848*b435*b546
     + 7392*b435*b547 + 9184*b435*b548 + 11218*b435*b549 + 9372*b435*b550 + 
    11644*b435*b551 + 13114*b435*b552 + 10956*b435*b553 + 13612*b435*b554 + 948
    *b435*b555 + 792*b435*b556 + 984*b435*b557 + 3318*b435*b558 + 2772*b435*
    b559 + 3444*b435*b560 + 10744*b435*b561 + 8976*b435*b562 + 11152*b435*b563
     + 9006*b435*b564 + 7524*b435*b565 + 9348*b435*b566 + 3634*b435*b567 + 3036
    *b435*b568 + 3772*b435*b569 + 2370*b435*b570 + 1980*b435*b571 + 2460*b435*
    b572 + 10902*b435*b573 + 9108*b435*b574 + 11316*b435*b575 + 4740*b435*b576
     + 3960*b435*b577 + 4920*b435*b578 + 11692*b435*b579 + 9768*b435*b580 + 
    12136*b435*b581 + 632*b435*b582 + 528*b435*b583 + 656*b435*b584 + 6636*b435
    *b588 + 5544*b435*b589 + 6888*b435*b590 + 8848*b435*b591 + 7392*b435*b592
     + 9184*b435*b593 + 474*b435*b594 + 396*b435*b595 + 492*b435*b596 + 4740*
    b435*b597 + 3960*b435*b598 + 4920*b435*b599 + 1520*b435*b600 + 2888*b435*
    b601 + 2052*b435*b602 + 3572*b435*b603 + 3268*b435*b604 + 2356*b435*b605 + 
    3192*b435*b606 + 1292*b435*b607 + 1026*b435*b608 + 3458*b435*b609 + 3420*
    b435*b610 + 1368*b435*b611 + 1102*b435*b612 + 2508*b435*b614 + 1596*b435*
    b615 + 874*b435*b616 + 2356*b435*b617 + 2356*b435*b618 + 1064*b435*b619 + 
    2888*b435*b620 + 2508*b435*b621 + 3116*b435*b622 + 2888*b435*b623 + 4108*
    b435*b624 + 3432*b435*b625 + 4264*b435*b626 + 1512*b436*b443 + 4704*b436*
    b444 + 3696*b436*b445 + 1176*b436*b446 + 168*b436*b447 + 6468*b436*b448 + 
    2100*b436*b449 + 3192*b436*b450 + 3360*b436*b451 + 504*b436*b452 + 7308*
    b436*b453 + 3948*b436*b454 + 588*b436*b455 + 6888*b436*b456 + 3528*b436*
    b457 + 7224*b436*b459 + 5040*b436*b460 + 5208*b436*b461 + 5208*b436*b462 + 
    6972*b436*b463 + 7644*b436*b464 + 2016*b436*b465 + 6272*b436*b466 + 4928*
    b436*b467 + 1568*b436*b468 + 224*b436*b469 + 8624*b436*b470 + 2800*b436*
    b471 + 4256*b436*b472 + 4480*b436*b473 + 672*b436*b474 + 9744*b436*b475 + 
    5264*b436*b476 + 784*b436*b477 + 9184*b436*b478 + 4704*b436*b479 + 9632*
    b436*b481 + 6720*b436*b482 + 6944*b436*b483 + 6944*b436*b484 + 9296*b436*
    b485 + 10192*b436*b486 + 108*b436*b487 + 336*b436*b488 + 264*b436*b489 + 84
    *b436*b490 + 12*b436*b491 + 462*b436*b492 + 150*b436*b493 + 228*b436*b494
     + 240*b436*b495 + 36*b436*b496 + 522*b436*b497 + 282*b436*b498 + 42*b436*
    b499 + 492*b436*b500 + 252*b436*b501 + 516*b436*b503 + 360*b436*b504 + 372*
    b436*b505 + 372*b436*b506 + 498*b436*b507 + 546*b436*b508 + 1080*b436*b509
     + 3360*b436*b510 + 2640*b436*b511 + 840*b436*b512 + 120*b436*b513 + 4620*
    b436*b514 + 1500*b436*b515 + 2280*b436*b516 + 2400*b436*b517 + 360*b436*
    b518 + 5220*b436*b519 + 2820*b436*b520 + 420*b436*b521 + 4920*b436*b522 + 
    2520*b436*b523 + 5160*b436*b525 + 3600*b436*b526 + 3720*b436*b527 + 3720*
    b436*b528 + 4980*b436*b529 + 5460*b436*b530 + 1246*b436*b531 + 1372*b436*
    b532 + 798*b436*b533 + 12816*b436*b534 + 14112*b436*b535 + 8208*b436*b536
     + 8010*b436*b537 + 8820*b436*b538 + 5130*b436*b539 + 7654*b436*b540 + 8428
    *b436*b541 + 4902*b436*b542 + 16554*b436*b543 + 18228*b436*b544 + 10602*
    b436*b545 + 9968*b436*b546 + 10976*b436*b547 + 6384*b436*b548 + 12638*b436*
    b549 + 13916*b436*b550 + 8094*b436*b551 + 14774*b436*b552 + 16268*b436*b553
     + 9462*b436*b554 + 1068*b436*b555 + 1176*b436*b556 + 684*b436*b557 + 3738*
    b436*b558 + 4116*b436*b559 + 2394*b436*b560 + 12104*b436*b561 + 13328*b436*
    b562 + 7752*b436*b563 + 10146*b436*b564 + 11172*b436*b565 + 6498*b436*b566
     + 4094*b436*b567 + 4508*b436*b568 + 2622*b436*b569 + 2670*b436*b570 + 2940
    *b436*b571 + 1710*b436*b572 + 12282*b436*b573 + 13524*b436*b574 + 7866*b436
    *b575 + 5340*b436*b576 + 5880*b436*b577 + 3420*b436*b578 + 13172*b436*b579
     + 14504*b436*b580 + 8436*b436*b581 + 712*b436*b582 + 784*b436*b583 + 456*
    b436*b584 + 7476*b436*b588 + 8232*b436*b589 + 4788*b436*b590 + 9968*b436*
    b591 + 10976*b436*b592 + 6384*b436*b593 + 534*b436*b594 + 588*b436*b595 + 
    342*b436*b596 + 5340*b436*b597 + 5880*b436*b598 + 3420*b436*b599 + 2128*
    b436*b600 + 1672*b436*b601 + 532*b436*b602 + 76*b436*b603 + 2926*b436*b604
     + 950*b436*b605 + 1444*b436*b606 + 1520*b436*b607 + 228*b436*b608 + 3306*
    b436*b609 + 1786*b436*b610 + 266*b436*b611 + 3116*b436*b612 + 1596*b436*
    b613 + 3724*b436*b614 + 3268*b436*b616 + 2280*b436*b617 + 2356*b436*b618 + 
    2356*b436*b619 + 3154*b436*b620 + 3458*b436*b621 + 2166*b436*b622 + 684*
    b436*b623 + 4628*b436*b624 + 5096*b436*b625 + 2964*b436*b626 + 4788*b437*
    b443 + 84*b437*b444 + 7140*b437*b445 + 5964*b437*b446 + 840*b437*b447 + 
    1260*b437*b448 + 6300*b437*b449 + 3444*b437*b450 + 5796*b437*b451 + 5628*
    b437*b452 + 6048*b437*b453 + 2100*b437*b454 + 7056*b437*b455 + 2436*b437*
    b456 + 1932*b437*b457 + 7224*b437*b458 + 5208*b437*b460 + 3024*b437*b461 + 
    168*b437*b462 + 168*b437*b463 + 3612*b437*b464 + 6384*b437*b465 + 112*b437*
    b466 + 9520*b437*b467 + 7952*b437*b468 + 1120*b437*b469 + 1680*b437*b470 + 
    8400*b437*b471 + 4592*b437*b472 + 7728*b437*b473 + 7504*b437*b474 + 8064*
    b437*b475 + 2800*b437*b476 + 9408*b437*b477 + 3248*b437*b478 + 2576*b437*
    b479 + 9632*b437*b480 + 6944*b437*b482 + 4032*b437*b483 + 224*b437*b484 + 
    224*b437*b485 + 4816*b437*b486 + 342*b437*b487 + 6*b437*b488 + 510*b437*
    b489 + 426*b437*b490 + 60*b437*b491 + 90*b437*b492 + 450*b437*b493 + 246*
    b437*b494 + 414*b437*b495 + 402*b437*b496 + 432*b437*b497 + 150*b437*b498
     + 504*b437*b499 + 174*b437*b500 + 138*b437*b501 + 516*b437*b502 + 372*b437
    *b504 + 216*b437*b505 + 12*b437*b506 + 12*b437*b507 + 258*b437*b508 + 3420*
    b437*b509 + 60*b437*b510 + 5100*b437*b511 + 4260*b437*b512 + 600*b437*b513
     + 900*b437*b514 + 4500*b437*b515 + 2460*b437*b516 + 4140*b437*b517 + 4020*
    b437*b518 + 4320*b437*b519 + 1500*b437*b520 + 5040*b437*b521 + 1740*b437*
    b522 + 1380*b437*b523 + 5160*b437*b524 + 3720*b437*b526 + 2160*b437*b527 + 
    120*b437*b528 + 120*b437*b529 + 2580*b437*b530 + 490*b437*b531 + 490*b437*
    b532 + 910*b437*b533 + 5040*b437*b534 + 5040*b437*b535 + 9360*b437*b536 + 
    3150*b437*b537 + 3150*b437*b538 + 5850*b437*b539 + 3010*b437*b540 + 3010*
    b437*b541 + 5590*b437*b542 + 6510*b437*b543 + 6510*b437*b544 + 12090*b437*
    b545 + 3920*b437*b546 + 3920*b437*b547 + 7280*b437*b548 + 4970*b437*b549 + 
    4970*b437*b550 + 9230*b437*b551 + 5810*b437*b552 + 5810*b437*b553 + 10790*
    b437*b554 + 420*b437*b555 + 420*b437*b556 + 780*b437*b557 + 1470*b437*b558
     + 1470*b437*b559 + 2730*b437*b560 + 4760*b437*b561 + 4760*b437*b562 + 8840
    *b437*b563 + 3990*b437*b564 + 3990*b437*b565 + 7410*b437*b566 + 1610*b437*
    b567 + 1610*b437*b568 + 2990*b437*b569 + 1050*b437*b570 + 1050*b437*b571 + 
    1950*b437*b572 + 4830*b437*b573 + 4830*b437*b574 + 8970*b437*b575 + 2100*
    b437*b576 + 2100*b437*b577 + 3900*b437*b578 + 5180*b437*b579 + 5180*b437*
    b580 + 9620*b437*b581 + 280*b437*b582 + 280*b437*b583 + 520*b437*b584 + 
    2940*b437*b588 + 2940*b437*b589 + 5460*b437*b590 + 3920*b437*b591 + 3920*
    b437*b592 + 7280*b437*b593 + 210*b437*b594 + 210*b437*b595 + 390*b437*b596
     + 2100*b437*b597 + 2100*b437*b598 + 3900*b437*b599 + 38*b437*b600 + 3230*
    b437*b601 + 2698*b437*b602 + 380*b437*b603 + 570*b437*b604 + 2850*b437*b605
     + 1558*b437*b606 + 2622*b437*b607 + 2546*b437*b608 + 2736*b437*b609 + 950*
    b437*b610 + 3192*b437*b611 + 1102*b437*b612 + 874*b437*b613 + 1330*b437*
    b614 + 3268*b437*b615 + 2356*b437*b617 + 1368*b437*b618 + 76*b437*b619 + 76
    *b437*b620 + 1634*b437*b621 + 2470*b437*b622 + 2166*b437*b623 + 1820*b437*
    b624 + 1820*b437*b625 + 3380*b437*b626 + 3024*b438*b443 + 4200*b438*b444 + 
    7896*b438*b445 + 6468*b438*b446 + 8316*b438*b447 + 7476*b438*b448 + 6384*
    b438*b449 + 4704*b438*b450 + 1008*b438*b451 + 2184*b438*b452 + 3780*b438*
    b453 + 2520*b438*b454 + 504*b438*b455 + 252*b438*b456 + 5208*b438*b457 + 
    5040*b438*b458 + 5208*b438*b459 + 3108*b438*b461 + 4116*b438*b462 + 5124*
    b438*b463 + 420*b438*b464 + 4032*b438*b465 + 5600*b438*b466 + 10528*b438*
    b467 + 8624*b438*b468 + 11088*b438*b469 + 9968*b438*b470 + 8512*b438*b471
     + 6272*b438*b472 + 1344*b438*b473 + 2912*b438*b474 + 5040*b438*b475 + 3360
    *b438*b476 + 672*b438*b477 + 336*b438*b478 + 6944*b438*b479 + 6720*b438*
    b480 + 6944*b438*b481 + 4144*b438*b483 + 5488*b438*b484 + 6832*b438*b485 + 
    560*b438*b486 + 216*b438*b487 + 300*b438*b488 + 564*b438*b489 + 462*b438*
    b490 + 594*b438*b491 + 534*b438*b492 + 456*b438*b493 + 336*b438*b494 + 72*
    b438*b495 + 156*b438*b496 + 270*b438*b497 + 180*b438*b498 + 36*b438*b499 + 
    18*b438*b500 + 372*b438*b501 + 360*b438*b502 + 372*b438*b503 + 222*b438*
    b505 + 294*b438*b506 + 366*b438*b507 + 30*b438*b508 + 2160*b438*b509 + 3000
    *b438*b510 + 5640*b438*b511 + 4620*b438*b512 + 5940*b438*b513 + 5340*b438*
    b514 + 4560*b438*b515 + 3360*b438*b516 + 720*b438*b517 + 1560*b438*b518 + 
    2700*b438*b519 + 1800*b438*b520 + 360*b438*b521 + 180*b438*b522 + 3720*b438
    *b523 + 3600*b438*b524 + 3720*b438*b525 + 2220*b438*b527 + 2940*b438*b528
     + 3660*b438*b529 + 300*b438*b530 + 126*b438*b531 + 210*b438*b532 + 476*
    b438*b533 + 1296*b438*b534 + 2160*b438*b535 + 4896*b438*b536 + 810*b438*
    b537 + 1350*b438*b538 + 3060*b438*b539 + 774*b438*b540 + 1290*b438*b541 + 
    2924*b438*b542 + 1674*b438*b543 + 2790*b438*b544 + 6324*b438*b545 + 1008*
    b438*b546 + 1680*b438*b547 + 3808*b438*b548 + 1278*b438*b549 + 2130*b438*
    b550 + 4828*b438*b551 + 1494*b438*b552 + 2490*b438*b553 + 5644*b438*b554 + 
    108*b438*b555 + 180*b438*b556 + 408*b438*b557 + 378*b438*b558 + 630*b438*
    b559 + 1428*b438*b560 + 1224*b438*b561 + 2040*b438*b562 + 4624*b438*b563 + 
    1026*b438*b564 + 1710*b438*b565 + 3876*b438*b566 + 414*b438*b567 + 690*b438
    *b568 + 1564*b438*b569 + 270*b438*b570 + 450*b438*b571 + 1020*b438*b572 + 
    1242*b438*b573 + 2070*b438*b574 + 4692*b438*b575 + 540*b438*b576 + 900*b438
    *b577 + 2040*b438*b578 + 1332*b438*b579 + 2220*b438*b580 + 5032*b438*b581
     + 72*b438*b582 + 120*b438*b583 + 272*b438*b584 + 756*b438*b588 + 1260*b438
    *b589 + 2856*b438*b590 + 1008*b438*b591 + 1680*b438*b592 + 3808*b438*b593
     + 54*b438*b594 + 90*b438*b595 + 204*b438*b596 + 540*b438*b597 + 900*b438*
    b598 + 2040*b438*b599 + 1900*b438*b600 + 3572*b438*b601 + 2926*b438*b602 + 
    3762*b438*b603 + 3382*b438*b604 + 2888*b438*b605 + 2128*b438*b606 + 456*
    b438*b607 + 988*b438*b608 + 1710*b438*b609 + 1140*b438*b610 + 228*b438*b611
     + 114*b438*b612 + 2356*b438*b613 + 570*b438*b614 + 2280*b438*b615 + 2356*
    b438*b616 + 1406*b438*b618 + 1862*b438*b619 + 2318*b438*b620 + 190*b438*
    b621 + 1292*b438*b622 + 1368*b438*b623 + 468*b438*b624 + 780*b438*b625 + 
    1768*b438*b626 + 5124*b439*b443 + 336*b439*b444 + 7560*b439*b445 + 3024*
    b439*b446 + 4704*b439*b447 + 4032*b439*b448 + 3360*b439*b449 + 3276*b439*
    b450 + 7140*b439*b451 + 6888*b439*b452 + 8064*b439*b453 + 3612*b439*b454 + 
    252*b439*b456 + 5208*b439*b457 + 5208*b439*b458 + 3024*b439*b459 + 3108*
    b439*b460 + 4452*b439*b462 + 8064*b439*b463 + 6888*b439*b464 + 6832*b439*
    b465 + 448*b439*b466 + 10080*b439*b467 + 4032*b439*b468 + 6272*b439*b469 + 
    5376*b439*b470 + 4480*b439*b471 + 4368*b439*b472 + 9520*b439*b473 + 9184*
    b439*b474 + 10752*b439*b475 + 4816*b439*b476 + 336*b439*b478 + 6944*b439*
    b479 + 6944*b439*b480 + 4032*b439*b481 + 4144*b439*b482 + 5936*b439*b484 + 
    10752*b439*b485 + 9184*b439*b486 + 366*b439*b487 + 24*b439*b488 + 540*b439*
    b489 + 216*b439*b490 + 336*b439*b491 + 288*b439*b492 + 240*b439*b493 + 234*
    b439*b494 + 510*b439*b495 + 492*b439*b496 + 576*b439*b497 + 258*b439*b498
     + 18*b439*b500 + 372*b439*b501 + 372*b439*b502 + 216*b439*b503 + 222*b439*
    b504 + 318*b439*b506 + 576*b439*b507 + 492*b439*b508 + 3660*b439*b509 + 240
    *b439*b510 + 5400*b439*b511 + 2160*b439*b512 + 3360*b439*b513 + 2880*b439*
    b514 + 2400*b439*b515 + 2340*b439*b516 + 5100*b439*b517 + 4920*b439*b518 + 
    5760*b439*b519 + 2580*b439*b520 + 180*b439*b522 + 3720*b439*b523 + 3720*
    b439*b524 + 2160*b439*b525 + 2220*b439*b526 + 3180*b439*b528 + 5760*b439*
    b529 + 4920*b439*b530 + 14*b439*b531 + 238*b439*b532 + 672*b439*b533 + 144*
    b439*b534 + 2448*b439*b535 + 6912*b439*b536 + 90*b439*b537 + 1530*b439*b538
     + 4320*b439*b539 + 86*b439*b540 + 1462*b439*b541 + 4128*b439*b542 + 186*
    b439*b543 + 3162*b439*b544 + 8928*b439*b545 + 112*b439*b546 + 1904*b439*
    b547 + 5376*b439*b548 + 142*b439*b549 + 2414*b439*b550 + 6816*b439*b551 + 
    166*b439*b552 + 2822*b439*b553 + 7968*b439*b554 + 12*b439*b555 + 204*b439*
    b556 + 576*b439*b557 + 42*b439*b558 + 714*b439*b559 + 2016*b439*b560 + 136*
    b439*b561 + 2312*b439*b562 + 6528*b439*b563 + 114*b439*b564 + 1938*b439*
    b565 + 5472*b439*b566 + 46*b439*b567 + 782*b439*b568 + 2208*b439*b569 + 30*
    b439*b570 + 510*b439*b571 + 1440*b439*b572 + 138*b439*b573 + 2346*b439*b574
     + 6624*b439*b575 + 60*b439*b576 + 1020*b439*b577 + 2880*b439*b578 + 148*
    b439*b579 + 2516*b439*b580 + 7104*b439*b581 + 8*b439*b582 + 136*b439*b583
     + 384*b439*b584 + 84*b439*b588 + 1428*b439*b589 + 4032*b439*b590 + 112*
    b439*b591 + 1904*b439*b592 + 5376*b439*b593 + 6*b439*b594 + 102*b439*b595
     + 288*b439*b596 + 60*b439*b597 + 1020*b439*b598 + 2880*b439*b599 + 152*
    b439*b600 + 3420*b439*b601 + 1368*b439*b602 + 2128*b439*b603 + 1824*b439*
    b604 + 1520*b439*b605 + 1482*b439*b606 + 3230*b439*b607 + 3116*b439*b608 + 
    3648*b439*b609 + 1634*b439*b610 + 114*b439*b612 + 2356*b439*b613 + 646*b439
    *b614 + 2356*b439*b615 + 1368*b439*b616 + 1406*b439*b617 + 2014*b439*b619
     + 3648*b439*b620 + 3116*b439*b621 + 1824*b439*b622 + 2318*b439*b623 + 52*
    b439*b624 + 884*b439*b625 + 2496*b439*b626 + 3024*b440*b443 + 3024*b440*
    b444 + 4284*b440*b445 + 4452*b440*b446 + 5880*b440*b447 + 1176*b440*b448 + 
    5544*b440*b449 + 4452*b440*b450 + 6048*b440*b451 + 3696*b440*b452 + 588*
    b440*b453 + 8148*b440*b454 + 4284*b440*b456 + 2352*b440*b457 + 5208*b440*
    b458 + 168*b440*b459 + 4116*b440*b460 + 4452*b440*b461 + 2352*b440*b463 + 
    2604*b440*b464 + 4032*b440*b465 + 4032*b440*b466 + 5712*b440*b467 + 5936*
    b440*b468 + 7840*b440*b469 + 1568*b440*b470 + 7392*b440*b471 + 5936*b440*
    b472 + 8064*b440*b473 + 4928*b440*b474 + 784*b440*b475 + 10864*b440*b476 + 
    5712*b440*b478 + 3136*b440*b479 + 6944*b440*b480 + 224*b440*b481 + 5488*
    b440*b482 + 5936*b440*b483 + 3136*b440*b485 + 3472*b440*b486 + 216*b440*
    b487 + 216*b440*b488 + 306*b440*b489 + 318*b440*b490 + 420*b440*b491 + 84*
    b440*b492 + 396*b440*b493 + 318*b440*b494 + 432*b440*b495 + 264*b440*b496
     + 42*b440*b497 + 582*b440*b498 + 306*b440*b500 + 168*b440*b501 + 372*b440*
    b502 + 12*b440*b503 + 294*b440*b504 + 318*b440*b505 + 168*b440*b507 + 186*
    b440*b508 + 2160*b440*b509 + 2160*b440*b510 + 3060*b440*b511 + 3180*b440*
    b512 + 4200*b440*b513 + 840*b440*b514 + 3960*b440*b515 + 3180*b440*b516 + 
    4320*b440*b517 + 2640*b440*b518 + 420*b440*b519 + 5820*b440*b520 + 3060*
    b440*b522 + 1680*b440*b523 + 3720*b440*b524 + 120*b440*b525 + 2940*b440*
    b526 + 3180*b440*b527 + 1680*b440*b529 + 1860*b440*b530 + 1190*b440*b531 + 
    1078*b440*b532 + 1050*b440*b533 + 12240*b440*b534 + 11088*b440*b535 + 10800
    *b440*b536 + 7650*b440*b537 + 6930*b440*b538 + 6750*b440*b539 + 7310*b440*
    b540 + 6622*b440*b541 + 6450*b440*b542 + 15810*b440*b543 + 14322*b440*b544
     + 13950*b440*b545 + 9520*b440*b546 + 8624*b440*b547 + 8400*b440*b548 + 
    12070*b440*b549 + 10934*b440*b550 + 10650*b440*b551 + 14110*b440*b552 + 
    12782*b440*b553 + 12450*b440*b554 + 1020*b440*b555 + 924*b440*b556 + 900*
    b440*b557 + 3570*b440*b558 + 3234*b440*b559 + 3150*b440*b560 + 11560*b440*
    b561 + 10472*b440*b562 + 10200*b440*b563 + 9690*b440*b564 + 8778*b440*b565
     + 8550*b440*b566 + 3910*b440*b567 + 3542*b440*b568 + 3450*b440*b569 + 2550
    *b440*b570 + 2310*b440*b571 + 2250*b440*b572 + 11730*b440*b573 + 10626*b440
    *b574 + 10350*b440*b575 + 5100*b440*b576 + 4620*b440*b577 + 4500*b440*b578
     + 12580*b440*b579 + 11396*b440*b580 + 11100*b440*b581 + 680*b440*b582 + 
    616*b440*b583 + 600*b440*b584 + 7140*b440*b588 + 6468*b440*b589 + 6300*b440
    *b590 + 9520*b440*b591 + 8624*b440*b592 + 8400*b440*b593 + 510*b440*b594 + 
    462*b440*b595 + 450*b440*b596 + 5100*b440*b597 + 4620*b440*b598 + 4500*b440
    *b599 + 1368*b440*b600 + 1938*b440*b601 + 2014*b440*b602 + 2660*b440*b603
     + 532*b440*b604 + 2508*b440*b605 + 2014*b440*b606 + 2736*b440*b607 + 1672*
    b440*b608 + 266*b440*b609 + 3686*b440*b610 + 1938*b440*b612 + 1064*b440*
    b613 + 2926*b440*b614 + 2356*b440*b615 + 76*b440*b616 + 1862*b440*b617 + 
    2014*b440*b618 + 1064*b440*b620 + 1178*b440*b621 + 2850*b440*b622 + 1368*
    b440*b623 + 4420*b440*b624 + 4004*b440*b625 + 3900*b440*b626 + 1764*b441*
    b443 + 2268*b441*b444 + 252*b441*b445 + 3108*b441*b446 + 8316*b441*b447 + 
    7476*b441*b448 + 4872*b441*b449 + 6468*b441*b450 + 588*b441*b451 + 2940*
    b441*b452 + 7308*b441*b453 + 2772*b441*b454 + 4032*b441*b455 + 5628*b441*
    b456 + 6384*b441*b457 + 6972*b441*b458 + 168*b441*b459 + 5124*b441*b460 + 
    8064*b441*b461 + 2352*b441*b462 + 84*b441*b464 + 2352*b441*b465 + 3024*b441
    *b466 + 336*b441*b467 + 4144*b441*b468 + 11088*b441*b469 + 9968*b441*b470
     + 6496*b441*b471 + 8624*b441*b472 + 784*b441*b473 + 3920*b441*b474 + 9744*
    b441*b475 + 3696*b441*b476 + 5376*b441*b477 + 7504*b441*b478 + 8512*b441*
    b479 + 9296*b441*b480 + 224*b441*b481 + 6832*b441*b482 + 10752*b441*b483 + 
    3136*b441*b484 + 112*b441*b486 + 126*b441*b487 + 162*b441*b488 + 18*b441*
    b489 + 222*b441*b490 + 594*b441*b491 + 534*b441*b492 + 348*b441*b493 + 462*
    b441*b494 + 42*b441*b495 + 210*b441*b496 + 522*b441*b497 + 198*b441*b498 + 
    288*b441*b499 + 402*b441*b500 + 456*b441*b501 + 498*b441*b502 + 12*b441*
    b503 + 366*b441*b504 + 576*b441*b505 + 168*b441*b506 + 6*b441*b508 + 1260*
    b441*b509 + 1620*b441*b510 + 180*b441*b511 + 2220*b441*b512 + 5940*b441*
    b513 + 5340*b441*b514 + 3480*b441*b515 + 4620*b441*b516 + 420*b441*b517 + 
    2100*b441*b518 + 5220*b441*b519 + 1980*b441*b520 + 2880*b441*b521 + 4020*
    b441*b522 + 4560*b441*b523 + 4980*b441*b524 + 120*b441*b525 + 3660*b441*
    b526 + 5760*b441*b527 + 1680*b441*b528 + 60*b441*b530 + 1176*b441*b531 + 
    616*b441*b532 + 1330*b441*b533 + 12096*b441*b534 + 6336*b441*b535 + 13680*
    b441*b536 + 7560*b441*b537 + 3960*b441*b538 + 8550*b441*b539 + 7224*b441*
    b540 + 3784*b441*b541 + 8170*b441*b542 + 15624*b441*b543 + 8184*b441*b544
     + 17670*b441*b545 + 9408*b441*b546 + 4928*b441*b547 + 10640*b441*b548 + 
    11928*b441*b549 + 6248*b441*b550 + 13490*b441*b551 + 13944*b441*b552 + 7304
    *b441*b553 + 15770*b441*b554 + 1008*b441*b555 + 528*b441*b556 + 1140*b441*
    b557 + 3528*b441*b558 + 1848*b441*b559 + 3990*b441*b560 + 11424*b441*b561
     + 5984*b441*b562 + 12920*b441*b563 + 9576*b441*b564 + 5016*b441*b565 + 
    10830*b441*b566 + 3864*b441*b567 + 2024*b441*b568 + 4370*b441*b569 + 2520*
    b441*b570 + 1320*b441*b571 + 2850*b441*b572 + 11592*b441*b573 + 6072*b441*
    b574 + 13110*b441*b575 + 5040*b441*b576 + 2640*b441*b577 + 5700*b441*b578
     + 12432*b441*b579 + 6512*b441*b580 + 14060*b441*b581 + 672*b441*b582 + 352
    *b441*b583 + 760*b441*b584 + 7056*b441*b588 + 3696*b441*b589 + 7980*b441*
    b590 + 9408*b441*b591 + 4928*b441*b592 + 10640*b441*b593 + 504*b441*b594 + 
    264*b441*b595 + 570*b441*b596 + 5040*b441*b597 + 2640*b441*b598 + 5700*b441
    *b599 + 1026*b441*b600 + 114*b441*b601 + 1406*b441*b602 + 3762*b441*b603 + 
    3382*b441*b604 + 2204*b441*b605 + 2926*b441*b606 + 266*b441*b607 + 1330*
    b441*b608 + 3306*b441*b609 + 1254*b441*b610 + 1824*b441*b611 + 2546*b441*
    b612 + 2888*b441*b613 + 1672*b441*b614 + 3154*b441*b615 + 76*b441*b616 + 
    2318*b441*b617 + 3648*b441*b618 + 1064*b441*b619 + 38*b441*b621 + 3610*b441
    *b622 + 798*b441*b623 + 4368*b441*b624 + 2288*b441*b625 + 4940*b441*b626 + 
    5964*b442*b443 + 7140*b442*b444 + 4032*b442*b445 + 2184*b442*b446 + 5040*
    b442*b447 + 3696*b442*b448 + 2520*b442*b449 + 4200*b442*b450 + 4116*b442*
    b451 + 252*b442*b452 + 5712*b442*b453 + 2940*b442*b454 + 5208*b442*b455 + 
    3276*b442*b456 + 5544*b442*b457 + 7644*b442*b458 + 3612*b442*b459 + 420*
    b442*b460 + 6888*b442*b461 + 2604*b442*b462 + 84*b442*b463 + 7952*b442*b465
     + 9520*b442*b466 + 5376*b442*b467 + 2912*b442*b468 + 6720*b442*b469 + 4928
    *b442*b470 + 3360*b442*b471 + 5600*b442*b472 + 5488*b442*b473 + 336*b442*
    b474 + 7616*b442*b475 + 3920*b442*b476 + 6944*b442*b477 + 4368*b442*b478 + 
    7392*b442*b479 + 10192*b442*b480 + 4816*b442*b481 + 560*b442*b482 + 9184*
    b442*b483 + 3472*b442*b484 + 112*b442*b485 + 426*b442*b487 + 510*b442*b488
     + 288*b442*b489 + 156*b442*b490 + 360*b442*b491 + 264*b442*b492 + 180*b442
    *b493 + 300*b442*b494 + 294*b442*b495 + 18*b442*b496 + 408*b442*b497 + 210*
    b442*b498 + 372*b442*b499 + 234*b442*b500 + 396*b442*b501 + 546*b442*b502
     + 258*b442*b503 + 30*b442*b504 + 492*b442*b505 + 186*b442*b506 + 6*b442*
    b507 + 4260*b442*b509 + 5100*b442*b510 + 2880*b442*b511 + 1560*b442*b512 + 
    3600*b442*b513 + 2640*b442*b514 + 1800*b442*b515 + 3000*b442*b516 + 2940*
    b442*b517 + 180*b442*b518 + 4080*b442*b519 + 2100*b442*b520 + 3720*b442*
    b521 + 2340*b442*b522 + 3960*b442*b523 + 5460*b442*b524 + 2580*b442*b525 + 
    300*b442*b526 + 4920*b442*b527 + 1860*b442*b528 + 60*b442*b529 + 168*b442*
    b531 + 364*b442*b532 + 98*b442*b533 + 1728*b442*b534 + 3744*b442*b535 + 
    1008*b442*b536 + 1080*b442*b537 + 2340*b442*b538 + 630*b442*b539 + 1032*
    b442*b540 + 2236*b442*b541 + 602*b442*b542 + 2232*b442*b543 + 4836*b442*
    b544 + 1302*b442*b545 + 1344*b442*b546 + 2912*b442*b547 + 784*b442*b548 + 
    1704*b442*b549 + 3692*b442*b550 + 994*b442*b551 + 1992*b442*b552 + 4316*
    b442*b553 + 1162*b442*b554 + 144*b442*b555 + 312*b442*b556 + 84*b442*b557
     + 504*b442*b558 + 1092*b442*b559 + 294*b442*b560 + 1632*b442*b561 + 3536*
    b442*b562 + 952*b442*b563 + 1368*b442*b564 + 2964*b442*b565 + 798*b442*b566
     + 552*b442*b567 + 1196*b442*b568 + 322*b442*b569 + 360*b442*b570 + 780*
    b442*b571 + 210*b442*b572 + 1656*b442*b573 + 3588*b442*b574 + 966*b442*b575
     + 720*b442*b576 + 1560*b442*b577 + 420*b442*b578 + 1776*b442*b579 + 3848*
    b442*b580 + 1036*b442*b581 + 96*b442*b582 + 208*b442*b583 + 56*b442*b584 + 
    1008*b442*b588 + 2184*b442*b589 + 588*b442*b590 + 1344*b442*b591 + 2912*
    b442*b592 + 784*b442*b593 + 72*b442*b594 + 156*b442*b595 + 42*b442*b596 + 
    720*b442*b597 + 1560*b442*b598 + 420*b442*b599 + 3230*b442*b600 + 1824*b442
    *b601 + 988*b442*b602 + 2280*b442*b603 + 1672*b442*b604 + 1140*b442*b605 + 
    1900*b442*b606 + 1862*b442*b607 + 114*b442*b608 + 2584*b442*b609 + 1330*
    b442*b610 + 2356*b442*b611 + 1482*b442*b612 + 2508*b442*b613 + 988*b442*
    b614 + 3458*b442*b615 + 1634*b442*b616 + 190*b442*b617 + 3116*b442*b618 + 
    1178*b442*b619 + 38*b442*b620 + 266*b442*b622 + 2698*b442*b623 + 624*b442*
    b624 + 1352*b442*b625 + 364*b442*b626 + 3120*b443*b466 + 10920*b443*b467 + 
    1320*b443*b468 + 4200*b443*b469 + 9840*b443*b470 + 3120*b443*b471 + 8280*
    b443*b472 + 6720*b443*b473 + 10320*b443*b474 + 5400*b443*b475 + 10920*b443*
    b476 + 7080*b443*b477 + 2160*b443*b478 + 9120*b443*b479 + 2160*b443*b480 + 
    6840*b443*b481 + 4320*b443*b482 + 7320*b443*b483 + 4320*b443*b484 + 2520*
    b443*b485 + 8520*b443*b486 + 4212*b443*b488 + 14742*b443*b489 + 1782*b443*
    b490 + 5670*b443*b491 + 13284*b443*b492 + 4212*b443*b493 + 11178*b443*b494
     + 9072*b443*b495 + 13932*b443*b496 + 7290*b443*b497 + 14742*b443*b498 + 
    9558*b443*b499 + 2916*b443*b500 + 12312*b443*b501 + 2916*b443*b502 + 9234*
    b443*b503 + 5832*b443*b504 + 9882*b443*b505 + 5832*b443*b506 + 3402*b443*
    b507 + 11502*b443*b508 + 1924*b443*b510 + 6734*b443*b511 + 814*b443*b512 + 
    2590*b443*b513 + 6068*b443*b514 + 1924*b443*b515 + 5106*b443*b516 + 4144*
    b443*b517 + 6364*b443*b518 + 3330*b443*b519 + 6734*b443*b520 + 4366*b443*
    b521 + 1332*b443*b522 + 5624*b443*b523 + 1332*b443*b524 + 4218*b443*b525 + 
    2664*b443*b526 + 4514*b443*b527 + 2664*b443*b528 + 1554*b443*b529 + 5254*
    b443*b530 + 714*b443*b531 + 1326*b443*b532 + 374*b443*b533 + 2478*b443*b534
     + 4602*b443*b535 + 1298*b443*b536 + 924*b443*b537 + 1716*b443*b538 + 484*
    b443*b539 + 1092*b443*b540 + 2028*b443*b541 + 572*b443*b542 + 1470*b443*
    b543 + 2730*b443*b544 + 770*b443*b545 + 2898*b443*b546 + 5382*b443*b547 + 
    1518*b443*b548 + 1974*b443*b549 + 3666*b443*b550 + 1034*b443*b551 + 2562*
    b443*b552 + 4758*b443*b553 + 1342*b443*b554 + 3570*b443*b555 + 6630*b443*
    b556 + 1870*b443*b557 + 1428*b443*b558 + 2652*b443*b559 + 748*b443*b560 + 
    2730*b443*b561 + 5070*b443*b562 + 1430*b443*b563 + 1554*b443*b564 + 2886*
    b443*b565 + 814*b443*b566 + 2016*b443*b567 + 3744*b443*b568 + 1056*b443*
    b569 + 1428*b443*b570 + 2652*b443*b571 + 748*b443*b572 + 4074*b443*b573 + 
    7566*b443*b574 + 2134*b443*b575 + 924*b443*b576 + 1716*b443*b577 + 484*b443
    *b578 + 3444*b443*b579 + 6396*b443*b580 + 1804*b443*b581 + 168*b443*b582 + 
    312*b443*b583 + 88*b443*b584 + 1764*b443*b585 + 3276*b443*b586 + 924*b443*
    b587 + 2520*b443*b591 + 4680*b443*b592 + 1320*b443*b593 + 3402*b443*b594 + 
    6318*b443*b595 + 1782*b443*b596 + 1554*b443*b597 + 2886*b443*b598 + 814*
    b443*b599 + 2652*b443*b600 + 9282*b443*b601 + 1122*b443*b602 + 3570*b443*
    b603 + 8364*b443*b604 + 2652*b443*b605 + 7038*b443*b606 + 5712*b443*b607 + 
    8772*b443*b608 + 4590*b443*b609 + 9282*b443*b610 + 6018*b443*b611 + 1836*
    b443*b612 + 7752*b443*b613 + 3978*b443*b614 + 1836*b443*b615 + 5814*b443*
    b616 + 3672*b443*b617 + 6222*b443*b618 + 3672*b443*b619 + 2142*b443*b620 + 
    7242*b443*b621 + 1122*b443*b622 + 42*b443*b624 + 78*b443*b625 + 22*b443*
    b626 + 3120*b444*b465 + 3480*b444*b467 + 9840*b444*b468 + 9840*b444*b469 + 
    720*b444*b470 + 8520*b444*b471 + 960*b444*b472 + 9240*b444*b473 + 8880*b444
    *b474 + 3600*b444*b475 + 10680*b444*b476 + 9120*b444*b477 + 9120*b444*b478
     + 4800*b444*b479 + 6720*b444*b480 + 120*b444*b481 + 6000*b444*b482 + 480*
    b444*b483 + 4320*b444*b484 + 3240*b444*b485 + 10200*b444*b486 + 4212*b444*
    b487 + 4698*b444*b489 + 13284*b444*b490 + 13284*b444*b491 + 972*b444*b492
     + 11502*b444*b493 + 1296*b444*b494 + 12474*b444*b495 + 11988*b444*b496 + 
    4860*b444*b497 + 14418*b444*b498 + 12312*b444*b499 + 12312*b444*b500 + 6480
    *b444*b501 + 9072*b444*b502 + 162*b444*b503 + 8100*b444*b504 + 648*b444*
    b505 + 5832*b444*b506 + 4374*b444*b507 + 13770*b444*b508 + 1924*b444*b509
     + 2146*b444*b511 + 6068*b444*b512 + 6068*b444*b513 + 444*b444*b514 + 5254*
    b444*b515 + 592*b444*b516 + 5698*b444*b517 + 5476*b444*b518 + 2220*b444*
    b519 + 6586*b444*b520 + 5624*b444*b521 + 5624*b444*b522 + 2960*b444*b523 + 
    4144*b444*b524 + 74*b444*b525 + 3700*b444*b526 + 296*b444*b527 + 2664*b444*
    b528 + 1998*b444*b529 + 6290*b444*b530 + 3230*b444*b531 + 3162*b444*b532 + 
    68*b444*b533 + 11210*b444*b534 + 10974*b444*b535 + 236*b444*b536 + 4180*
    b444*b537 + 4092*b444*b538 + 88*b444*b539 + 4940*b444*b540 + 4836*b444*b541
     + 104*b444*b542 + 6650*b444*b543 + 6510*b444*b544 + 140*b444*b545 + 13110*
    b444*b546 + 12834*b444*b547 + 276*b444*b548 + 8930*b444*b549 + 8742*b444*
    b550 + 188*b444*b551 + 11590*b444*b552 + 11346*b444*b553 + 244*b444*b554 + 
    16150*b444*b555 + 15810*b444*b556 + 340*b444*b557 + 6460*b444*b558 + 6324*
    b444*b559 + 136*b444*b560 + 12350*b444*b561 + 12090*b444*b562 + 260*b444*
    b563 + 7030*b444*b564 + 6882*b444*b565 + 148*b444*b566 + 9120*b444*b567 + 
    8928*b444*b568 + 192*b444*b569 + 6460*b444*b570 + 6324*b444*b571 + 136*b444
    *b572 + 18430*b444*b573 + 18042*b444*b574 + 388*b444*b575 + 4180*b444*b576
     + 4092*b444*b577 + 88*b444*b578 + 15580*b444*b579 + 15252*b444*b580 + 328*
    b444*b581 + 760*b444*b582 + 744*b444*b583 + 16*b444*b584 + 7980*b444*b585
     + 7812*b444*b586 + 168*b444*b587 + 11400*b444*b591 + 11160*b444*b592 + 240
    *b444*b593 + 15390*b444*b594 + 15066*b444*b595 + 324*b444*b596 + 7030*b444*
    b597 + 6882*b444*b598 + 148*b444*b599 + 2958*b444*b601 + 8364*b444*b602 + 
    8364*b444*b603 + 612*b444*b604 + 7242*b444*b605 + 816*b444*b606 + 7854*b444
    *b607 + 7548*b444*b608 + 3060*b444*b609 + 9078*b444*b610 + 7752*b444*b611
     + 7752*b444*b612 + 4080*b444*b613 + 9486*b444*b614 + 5712*b444*b615 + 102*
    b444*b616 + 5100*b444*b617 + 408*b444*b618 + 3672*b444*b619 + 2754*b444*
    b620 + 8670*b444*b621 + 204*b444*b622 + 2652*b444*b623 + 190*b444*b624 + 
    186*b444*b625 + 4*b444*b626 + 10920*b445*b465 + 3480*b445*b466 + 120*b445*
    b468 + 1800*b445*b469 + 1320*b445*b470 + 4200*b445*b471 + 1320*b445*b472 + 
    2400*b445*b473 + 2520*b445*b474 + 7320*b445*b475 + 9600*b445*b476 + 6960*
    b445*b477 + 2520*b445*b478 + 9120*b445*b479 + 5280*b445*b480 + 10200*b445*
    b481 + 11280*b445*b482 + 10800*b445*b483 + 6120*b445*b484 + 360*b445*b485
     + 5760*b445*b486 + 14742*b445*b487 + 4698*b445*b488 + 162*b445*b490 + 2430
    *b445*b491 + 1782*b445*b492 + 5670*b445*b493 + 1782*b445*b494 + 3240*b445*
    b495 + 3402*b445*b496 + 9882*b445*b497 + 12960*b445*b498 + 9396*b445*b499
     + 3402*b445*b500 + 12312*b445*b501 + 7128*b445*b502 + 13770*b445*b503 + 
    15228*b445*b504 + 14580*b445*b505 + 8262*b445*b506 + 486*b445*b507 + 7776*
    b445*b508 + 6734*b445*b509 + 2146*b445*b510 + 74*b445*b512 + 1110*b445*b513
     + 814*b445*b514 + 2590*b445*b515 + 814*b445*b516 + 1480*b445*b517 + 1554*
    b445*b518 + 4514*b445*b519 + 5920*b445*b520 + 4292*b445*b521 + 1554*b445*
    b522 + 5624*b445*b523 + 3256*b445*b524 + 6290*b445*b525 + 6956*b445*b526 + 
    6660*b445*b527 + 3774*b445*b528 + 222*b445*b529 + 3552*b445*b530 + 2788*
    b445*b531 + 2448*b445*b532 + 986*b445*b533 + 9676*b445*b534 + 8496*b445*
    b535 + 3422*b445*b536 + 3608*b445*b537 + 3168*b445*b538 + 1276*b445*b539 + 
    4264*b445*b540 + 3744*b445*b541 + 1508*b445*b542 + 5740*b445*b543 + 5040*
    b445*b544 + 2030*b445*b545 + 11316*b445*b546 + 9936*b445*b547 + 4002*b445*
    b548 + 7708*b445*b549 + 6768*b445*b550 + 2726*b445*b551 + 10004*b445*b552
     + 8784*b445*b553 + 3538*b445*b554 + 13940*b445*b555 + 12240*b445*b556 + 
    4930*b445*b557 + 5576*b445*b558 + 4896*b445*b559 + 1972*b445*b560 + 10660*
    b445*b561 + 9360*b445*b562 + 3770*b445*b563 + 6068*b445*b564 + 5328*b445*
    b565 + 2146*b445*b566 + 7872*b445*b567 + 6912*b445*b568 + 2784*b445*b569 + 
    5576*b445*b570 + 4896*b445*b571 + 1972*b445*b572 + 15908*b445*b573 + 13968*
    b445*b574 + 5626*b445*b575 + 3608*b445*b576 + 3168*b445*b577 + 1276*b445*
    b578 + 13448*b445*b579 + 11808*b445*b580 + 4756*b445*b581 + 656*b445*b582
     + 576*b445*b583 + 232*b445*b584 + 6888*b445*b585 + 6048*b445*b586 + 2436*
    b445*b587 + 9840*b445*b591 + 8640*b445*b592 + 3480*b445*b593 + 13284*b445*
    b594 + 11664*b445*b595 + 4698*b445*b596 + 6068*b445*b597 + 5328*b445*b598
     + 2146*b445*b599 + 2958*b445*b600 + 102*b445*b602 + 1530*b445*b603 + 1122*
    b445*b604 + 3570*b445*b605 + 1122*b445*b606 + 2040*b445*b607 + 2142*b445*
    b608 + 6222*b445*b609 + 8160*b445*b610 + 5916*b445*b611 + 2142*b445*b612 + 
    7752*b445*b613 + 7344*b445*b614 + 4488*b445*b615 + 8670*b445*b616 + 9588*
    b445*b617 + 9180*b445*b618 + 5202*b445*b619 + 306*b445*b620 + 4896*b445*
    b621 + 2958*b445*b622 + 9282*b445*b623 + 164*b445*b624 + 144*b445*b625 + 58
    *b445*b626 + 1320*b446*b465 + 9840*b446*b466 + 120*b446*b467 + 10800*b446*
    b469 + 7920*b446*b470 + 4920*b446*b471 + 1800*b446*b472 + 9960*b446*b473 + 
    11520*b446*b474 + 8880*b446*b475 + 5400*b446*b476 + 7800*b446*b477 + 4800*
    b446*b478 + 6480*b446*b479 + 1680*b446*b480 + 8520*b446*b481 + 9240*b446*
    b482 + 4320*b446*b483 + 6360*b446*b484 + 4440*b446*b485 + 3120*b446*b486 + 
    1782*b446*b487 + 13284*b446*b488 + 162*b446*b489 + 14580*b446*b491 + 10692*
    b446*b492 + 6642*b446*b493 + 2430*b446*b494 + 13446*b446*b495 + 15552*b446*
    b496 + 11988*b446*b497 + 7290*b446*b498 + 10530*b446*b499 + 6480*b446*b500
     + 8748*b446*b501 + 2268*b446*b502 + 11502*b446*b503 + 12474*b446*b504 + 
    5832*b446*b505 + 8586*b446*b506 + 5994*b446*b507 + 4212*b446*b508 + 814*
    b446*b509 + 6068*b446*b510 + 74*b446*b511 + 6660*b446*b513 + 4884*b446*b514
     + 3034*b446*b515 + 1110*b446*b516 + 6142*b446*b517 + 7104*b446*b518 + 5476
    *b446*b519 + 3330*b446*b520 + 4810*b446*b521 + 2960*b446*b522 + 3996*b446*
    b523 + 1036*b446*b524 + 5254*b446*b525 + 5698*b446*b526 + 2664*b446*b527 + 
    3922*b446*b528 + 2738*b446*b529 + 1924*b446*b530 + 1904*b446*b531 + 2822*
    b446*b532 + 2958*b446*b533 + 6608*b446*b534 + 9794*b446*b535 + 10266*b446*
    b536 + 2464*b446*b537 + 3652*b446*b538 + 3828*b446*b539 + 2912*b446*b540 + 
    4316*b446*b541 + 4524*b446*b542 + 3920*b446*b543 + 5810*b446*b544 + 6090*
    b446*b545 + 7728*b446*b546 + 11454*b446*b547 + 12006*b446*b548 + 5264*b446*
    b549 + 7802*b446*b550 + 8178*b446*b551 + 6832*b446*b552 + 10126*b446*b553
     + 10614*b446*b554 + 9520*b446*b555 + 14110*b446*b556 + 14790*b446*b557 + 
    3808*b446*b558 + 5644*b446*b559 + 5916*b446*b560 + 7280*b446*b561 + 10790*
    b446*b562 + 11310*b446*b563 + 4144*b446*b564 + 6142*b446*b565 + 6438*b446*
    b566 + 5376*b446*b567 + 7968*b446*b568 + 8352*b446*b569 + 3808*b446*b570 + 
    5644*b446*b571 + 5916*b446*b572 + 10864*b446*b573 + 16102*b446*b574 + 16878
    *b446*b575 + 2464*b446*b576 + 3652*b446*b577 + 3828*b446*b578 + 9184*b446*
    b579 + 13612*b446*b580 + 14268*b446*b581 + 448*b446*b582 + 664*b446*b583 + 
    696*b446*b584 + 4704*b446*b585 + 6972*b446*b586 + 7308*b446*b587 + 6720*
    b446*b591 + 9960*b446*b592 + 10440*b446*b593 + 9072*b446*b594 + 13446*b446*
    b595 + 14094*b446*b596 + 4144*b446*b597 + 6142*b446*b598 + 6438*b446*b599
     + 8364*b446*b600 + 102*b446*b601 + 9180*b446*b603 + 6732*b446*b604 + 4182*
    b446*b605 + 1530*b446*b606 + 8466*b446*b607 + 9792*b446*b608 + 7548*b446*
    b609 + 4590*b446*b610 + 6630*b446*b611 + 4080*b446*b612 + 5508*b446*b613 + 
    8466*b446*b614 + 1428*b446*b615 + 7242*b446*b616 + 7854*b446*b617 + 3672*
    b446*b618 + 5406*b446*b619 + 3774*b446*b620 + 2652*b446*b621 + 8874*b446*
    b622 + 1122*b446*b623 + 112*b446*b624 + 166*b446*b625 + 174*b446*b626 + 
    4200*b447*b465 + 9840*b447*b466 + 1800*b447*b467 + 10800*b447*b468 + 9120*
    b447*b470 + 10920*b447*b471 + 1560*b447*b472 + 3480*b447*b473 + 1320*b447*
    b474 + 9240*b447*b475 + 3840*b447*b476 + 10440*b447*b477 + 8040*b447*b478
     + 11280*b447*b479 + 240*b447*b480 + 1200*b447*b481 + 11880*b447*b482 + 
    6720*b447*b483 + 8400*b447*b484 + 11880*b447*b485 + 7200*b447*b486 + 5670*
    b447*b487 + 13284*b447*b488 + 2430*b447*b489 + 14580*b447*b490 + 12312*b447
    *b492 + 14742*b447*b493 + 2106*b447*b494 + 4698*b447*b495 + 1782*b447*b496
     + 12474*b447*b497 + 5184*b447*b498 + 14094*b447*b499 + 10854*b447*b500 + 
    15228*b447*b501 + 324*b447*b502 + 1620*b447*b503 + 16038*b447*b504 + 9072*
    b447*b505 + 11340*b447*b506 + 16038*b447*b507 + 9720*b447*b508 + 2590*b447*
    b509 + 6068*b447*b510 + 1110*b447*b511 + 6660*b447*b512 + 5624*b447*b514 + 
    6734*b447*b515 + 962*b447*b516 + 2146*b447*b517 + 814*b447*b518 + 5698*b447
    *b519 + 2368*b447*b520 + 6438*b447*b521 + 4958*b447*b522 + 6956*b447*b523
     + 148*b447*b524 + 740*b447*b525 + 7326*b447*b526 + 4144*b447*b527 + 5180*
    b447*b528 + 7326*b447*b529 + 4440*b447*b530 + 1394*b447*b531 + 2686*b447*
    b532 + 136*b447*b533 + 4838*b447*b534 + 9322*b447*b535 + 472*b447*b536 + 
    1804*b447*b537 + 3476*b447*b538 + 176*b447*b539 + 2132*b447*b540 + 4108*
    b447*b541 + 208*b447*b542 + 2870*b447*b543 + 5530*b447*b544 + 280*b447*b545
     + 5658*b447*b546 + 10902*b447*b547 + 552*b447*b548 + 3854*b447*b549 + 7426
    *b447*b550 + 376*b447*b551 + 5002*b447*b552 + 9638*b447*b553 + 488*b447*
    b554 + 6970*b447*b555 + 13430*b447*b556 + 680*b447*b557 + 2788*b447*b558 + 
    5372*b447*b559 + 272*b447*b560 + 5330*b447*b561 + 10270*b447*b562 + 520*
    b447*b563 + 3034*b447*b564 + 5846*b447*b565 + 296*b447*b566 + 3936*b447*
    b567 + 7584*b447*b568 + 384*b447*b569 + 2788*b447*b570 + 5372*b447*b571 + 
    272*b447*b572 + 7954*b447*b573 + 15326*b447*b574 + 776*b447*b575 + 1804*
    b447*b576 + 3476*b447*b577 + 176*b447*b578 + 6724*b447*b579 + 12956*b447*
    b580 + 656*b447*b581 + 328*b447*b582 + 632*b447*b583 + 32*b447*b584 + 3444*
    b447*b585 + 6636*b447*b586 + 336*b447*b587 + 4920*b447*b591 + 9480*b447*
    b592 + 480*b447*b593 + 6642*b447*b594 + 12798*b447*b595 + 648*b447*b596 + 
    3034*b447*b597 + 5846*b447*b598 + 296*b447*b599 + 8364*b447*b600 + 1530*
    b447*b601 + 9180*b447*b602 + 7752*b447*b604 + 9282*b447*b605 + 1326*b447*
    b606 + 2958*b447*b607 + 1122*b447*b608 + 7854*b447*b609 + 3264*b447*b610 + 
    8874*b447*b611 + 6834*b447*b612 + 9588*b447*b613 + 8058*b447*b614 + 204*
    b447*b615 + 1020*b447*b616 + 10098*b447*b617 + 5712*b447*b618 + 7140*b447*
    b619 + 10098*b447*b620 + 6120*b447*b621 + 408*b447*b622 + 3570*b447*b623 + 
    82*b447*b624 + 158*b447*b625 + 8*b447*b626 + 9840*b448*b465 + 720*b448*b466
     + 1320*b448*b467 + 7920*b448*b468 + 9120*b448*b469 + 6720*b448*b471 + 240*
    b448*b472 + 7200*b448*b473 + 8640*b448*b474 + 8880*b448*b475 + 5520*b448*
    b476 + 1560*b448*b477 + 2400*b448*b478 + 10320*b448*b479 + 9240*b448*b480
     + 1800*b448*b481 + 10680*b448*b482 + 5760*b448*b483 + 1680*b448*b484 + 
    10680*b448*b485 + 5280*b448*b486 + 13284*b448*b487 + 972*b448*b488 + 1782*
    b448*b489 + 10692*b448*b490 + 12312*b448*b491 + 9072*b448*b493 + 324*b448*
    b494 + 9720*b448*b495 + 11664*b448*b496 + 11988*b448*b497 + 7452*b448*b498
     + 2106*b448*b499 + 3240*b448*b500 + 13932*b448*b501 + 12474*b448*b502 + 
    2430*b448*b503 + 14418*b448*b504 + 7776*b448*b505 + 2268*b448*b506 + 14418*
    b448*b507 + 7128*b448*b508 + 6068*b448*b509 + 444*b448*b510 + 814*b448*b511
     + 4884*b448*b512 + 5624*b448*b513 + 4144*b448*b515 + 148*b448*b516 + 4440*
    b448*b517 + 5328*b448*b518 + 5476*b448*b519 + 3404*b448*b520 + 962*b448*
    b521 + 1480*b448*b522 + 6364*b448*b523 + 5698*b448*b524 + 1110*b448*b525 + 
    6586*b448*b526 + 3552*b448*b527 + 1036*b448*b528 + 6586*b448*b529 + 3256*
    b448*b530 + 204*b448*b531 + 136*b448*b532 + 2006*b448*b533 + 708*b448*b534
     + 472*b448*b535 + 6962*b448*b536 + 264*b448*b537 + 176*b448*b538 + 2596*
    b448*b539 + 312*b448*b540 + 208*b448*b541 + 3068*b448*b542 + 420*b448*b543
     + 280*b448*b544 + 4130*b448*b545 + 828*b448*b546 + 552*b448*b547 + 8142*
    b448*b548 + 564*b448*b549 + 376*b448*b550 + 5546*b448*b551 + 732*b448*b552
     + 488*b448*b553 + 7198*b448*b554 + 1020*b448*b555 + 680*b448*b556 + 10030*
    b448*b557 + 408*b448*b558 + 272*b448*b559 + 4012*b448*b560 + 780*b448*b561
     + 520*b448*b562 + 7670*b448*b563 + 444*b448*b564 + 296*b448*b565 + 4366*
    b448*b566 + 576*b448*b567 + 384*b448*b568 + 5664*b448*b569 + 408*b448*b570
     + 272*b448*b571 + 4012*b448*b572 + 1164*b448*b573 + 776*b448*b574 + 11446*
    b448*b575 + 264*b448*b576 + 176*b448*b577 + 2596*b448*b578 + 984*b448*b579
     + 656*b448*b580 + 9676*b448*b581 + 48*b448*b582 + 32*b448*b583 + 472*b448*
    b584 + 504*b448*b585 + 336*b448*b586 + 4956*b448*b587 + 720*b448*b591 + 480
    *b448*b592 + 7080*b448*b593 + 972*b448*b594 + 648*b448*b595 + 9558*b448*
    b596 + 444*b448*b597 + 296*b448*b598 + 4366*b448*b599 + 612*b448*b600 + 
    1122*b448*b601 + 6732*b448*b602 + 7752*b448*b603 + 5712*b448*b605 + 204*
    b448*b606 + 6120*b448*b607 + 7344*b448*b608 + 7548*b448*b609 + 4692*b448*
    b610 + 1326*b448*b611 + 2040*b448*b612 + 8772*b448*b613 + 408*b448*b614 + 
    7854*b448*b615 + 1530*b448*b616 + 9078*b448*b617 + 4896*b448*b618 + 1428*
    b448*b619 + 9078*b448*b620 + 4488*b448*b621 + 6018*b448*b622 + 8364*b448*
    b623 + 12*b448*b624 + 8*b448*b625 + 118*b448*b626 + 3120*b449*b465 + 8520*
    b449*b466 + 4200*b449*b467 + 4920*b449*b468 + 10920*b449*b469 + 6720*b449*
    b470 + 2640*b449*b472 + 6840*b449*b473 + 7560*b449*b474 + 720*b449*b475 + 
    7440*b449*b477 + 4920*b449*b478 + 7440*b449*b479 + 3000*b449*b480 + 9000*
    b449*b481 + 9120*b449*b482 + 4800*b449*b483 + 7920*b449*b484 + 6960*b449*
    b485 + 3600*b449*b486 + 4212*b449*b487 + 11502*b449*b488 + 5670*b449*b489
     + 6642*b449*b490 + 14742*b449*b491 + 9072*b449*b492 + 3564*b449*b494 + 
    9234*b449*b495 + 10206*b449*b496 + 972*b449*b497 + 10044*b449*b499 + 6642*
    b449*b500 + 10044*b449*b501 + 4050*b449*b502 + 12150*b449*b503 + 12312*b449
    *b504 + 6480*b449*b505 + 10692*b449*b506 + 9396*b449*b507 + 4860*b449*b508
     + 1924*b449*b509 + 5254*b449*b510 + 2590*b449*b511 + 3034*b449*b512 + 6734
    *b449*b513 + 4144*b449*b514 + 1628*b449*b516 + 4218*b449*b517 + 4662*b449*
    b518 + 444*b449*b519 + 4588*b449*b521 + 3034*b449*b522 + 4588*b449*b523 + 
    1850*b449*b524 + 5550*b449*b525 + 5624*b449*b526 + 2960*b449*b527 + 4884*
    b449*b528 + 4292*b449*b529 + 2220*b449*b530 + 850*b449*b531 + 1564*b449*
    b532 + 2312*b449*b533 + 2950*b449*b534 + 5428*b449*b535 + 8024*b449*b536 + 
    1100*b449*b537 + 2024*b449*b538 + 2992*b449*b539 + 1300*b449*b540 + 2392*
    b449*b541 + 3536*b449*b542 + 1750*b449*b543 + 3220*b449*b544 + 4760*b449*
    b545 + 3450*b449*b546 + 6348*b449*b547 + 9384*b449*b548 + 2350*b449*b549 + 
    4324*b449*b550 + 6392*b449*b551 + 3050*b449*b552 + 5612*b449*b553 + 8296*
    b449*b554 + 4250*b449*b555 + 7820*b449*b556 + 11560*b449*b557 + 1700*b449*
    b558 + 3128*b449*b559 + 4624*b449*b560 + 3250*b449*b561 + 5980*b449*b562 + 
    8840*b449*b563 + 1850*b449*b564 + 3404*b449*b565 + 5032*b449*b566 + 2400*
    b449*b567 + 4416*b449*b568 + 6528*b449*b569 + 1700*b449*b570 + 3128*b449*
    b571 + 4624*b449*b572 + 4850*b449*b573 + 8924*b449*b574 + 13192*b449*b575
     + 1100*b449*b576 + 2024*b449*b577 + 2992*b449*b578 + 4100*b449*b579 + 7544
    *b449*b580 + 11152*b449*b581 + 200*b449*b582 + 368*b449*b583 + 544*b449*
    b584 + 2100*b449*b585 + 3864*b449*b586 + 5712*b449*b587 + 3000*b449*b591 + 
    5520*b449*b592 + 8160*b449*b593 + 4050*b449*b594 + 7452*b449*b595 + 11016*
    b449*b596 + 1850*b449*b597 + 3404*b449*b598 + 5032*b449*b599 + 7242*b449*
    b600 + 3570*b449*b601 + 4182*b449*b602 + 9282*b449*b603 + 5712*b449*b604 + 
    2244*b449*b606 + 5814*b449*b607 + 6426*b449*b608 + 612*b449*b609 + 6324*
    b449*b611 + 4182*b449*b612 + 6324*b449*b613 + 4692*b449*b614 + 2550*b449*
    b615 + 7650*b449*b616 + 7752*b449*b617 + 4080*b449*b618 + 6732*b449*b619 + 
    5916*b449*b620 + 3060*b449*b621 + 6936*b449*b622 + 2652*b449*b623 + 50*b449
    *b624 + 92*b449*b625 + 136*b449*b626 + 8280*b450*b465 + 960*b450*b466 + 
    1320*b450*b467 + 1800*b450*b468 + 1560*b450*b469 + 240*b450*b470 + 2640*
    b450*b471 + 9360*b450*b473 + 10920*b450*b474 + 1560*b450*b475 + 7080*b450*
    b476 + 5880*b450*b477 + 10200*b450*b478 + 10080*b450*b479 + 4560*b450*b480
     + 4920*b450*b481 + 6720*b450*b482 + 4680*b450*b483 + 6360*b450*b484 + 9240
    *b450*b485 + 6000*b450*b486 + 11178*b450*b487 + 1296*b450*b488 + 1782*b450*
    b489 + 2430*b450*b490 + 2106*b450*b491 + 324*b450*b492 + 3564*b450*b493 + 
    12636*b450*b495 + 14742*b450*b496 + 2106*b450*b497 + 9558*b450*b498 + 7938*
    b450*b499 + 13770*b450*b500 + 13608*b450*b501 + 6156*b450*b502 + 6642*b450*
    b503 + 9072*b450*b504 + 6318*b450*b505 + 8586*b450*b506 + 12474*b450*b507
     + 8100*b450*b508 + 5106*b450*b509 + 592*b450*b510 + 814*b450*b511 + 1110*
    b450*b512 + 962*b450*b513 + 148*b450*b514 + 1628*b450*b515 + 5772*b450*b517
     + 6734*b450*b518 + 962*b450*b519 + 4366*b450*b520 + 3626*b450*b521 + 6290*
    b450*b522 + 6216*b450*b523 + 2812*b450*b524 + 3034*b450*b525 + 4144*b450*
    b526 + 2886*b450*b527 + 3922*b450*b528 + 5698*b450*b529 + 3700*b450*b530 + 
    340*b450*b531 + 272*b450*b532 + 1020*b450*b533 + 1180*b450*b534 + 944*b450*
    b535 + 3540*b450*b536 + 440*b450*b537 + 352*b450*b538 + 1320*b450*b539 + 
    520*b450*b540 + 416*b450*b541 + 1560*b450*b542 + 700*b450*b543 + 560*b450*
    b544 + 2100*b450*b545 + 1380*b450*b546 + 1104*b450*b547 + 4140*b450*b548 + 
    940*b450*b549 + 752*b450*b550 + 2820*b450*b551 + 1220*b450*b552 + 976*b450*
    b553 + 3660*b450*b554 + 1700*b450*b555 + 1360*b450*b556 + 5100*b450*b557 + 
    680*b450*b558 + 544*b450*b559 + 2040*b450*b560 + 1300*b450*b561 + 1040*b450
    *b562 + 3900*b450*b563 + 740*b450*b564 + 592*b450*b565 + 2220*b450*b566 + 
    960*b450*b567 + 768*b450*b568 + 2880*b450*b569 + 680*b450*b570 + 544*b450*
    b571 + 2040*b450*b572 + 1940*b450*b573 + 1552*b450*b574 + 5820*b450*b575 + 
    440*b450*b576 + 352*b450*b577 + 1320*b450*b578 + 1640*b450*b579 + 1312*b450
    *b580 + 4920*b450*b581 + 80*b450*b582 + 64*b450*b583 + 240*b450*b584 + 840*
    b450*b585 + 672*b450*b586 + 2520*b450*b587 + 1200*b450*b591 + 960*b450*b592
     + 3600*b450*b593 + 1620*b450*b594 + 1296*b450*b595 + 4860*b450*b596 + 740*
    b450*b597 + 592*b450*b598 + 2220*b450*b599 + 816*b450*b600 + 1122*b450*b601
     + 1530*b450*b602 + 1326*b450*b603 + 204*b450*b604 + 2244*b450*b605 + 7956*
    b450*b607 + 9282*b450*b608 + 1326*b450*b609 + 6018*b450*b610 + 4998*b450*
    b611 + 8670*b450*b612 + 8568*b450*b613 + 816*b450*b614 + 3876*b450*b615 + 
    4182*b450*b616 + 5712*b450*b617 + 3978*b450*b618 + 5406*b450*b619 + 7854*
    b450*b620 + 5100*b450*b621 + 3060*b450*b622 + 7038*b450*b623 + 20*b450*b624
     + 16*b450*b625 + 60*b450*b626 + 6720*b451*b465 + 9240*b451*b466 + 2400*
    b451*b467 + 9960*b451*b468 + 3480*b451*b469 + 7200*b451*b470 + 6840*b451*
    b471 + 9360*b451*b472 + 6960*b451*b474 + 6600*b451*b475 + 2280*b451*b476 + 
    10200*b451*b477 + 6240*b451*b478 + 4080*b451*b479 + 4800*b451*b480 + 8280*
    b451*b481 + 1440*b451*b482 + 10200*b451*b483 + 8640*b451*b484 + 840*b451*
    b485 + 5880*b451*b486 + 9072*b451*b487 + 12474*b451*b488 + 3240*b451*b489
     + 13446*b451*b490 + 4698*b451*b491 + 9720*b451*b492 + 9234*b451*b493 + 
    12636*b451*b494 + 9396*b451*b496 + 8910*b451*b497 + 3078*b451*b498 + 13770*
    b451*b499 + 8424*b451*b500 + 5508*b451*b501 + 6480*b451*b502 + 11178*b451*
    b503 + 1944*b451*b504 + 13770*b451*b505 + 11664*b451*b506 + 1134*b451*b507
     + 7938*b451*b508 + 4144*b451*b509 + 5698*b451*b510 + 1480*b451*b511 + 6142
    *b451*b512 + 2146*b451*b513 + 4440*b451*b514 + 4218*b451*b515 + 5772*b451*
    b516 + 4292*b451*b518 + 4070*b451*b519 + 1406*b451*b520 + 6290*b451*b521 + 
    3848*b451*b522 + 2516*b451*b523 + 2960*b451*b524 + 5106*b451*b525 + 888*
    b451*b526 + 6290*b451*b527 + 5328*b451*b528 + 518*b451*b529 + 3626*b451*
    b530 + 136*b451*b531 + 1802*b451*b532 + 1564*b451*b533 + 472*b451*b534 + 
    6254*b451*b535 + 5428*b451*b536 + 176*b451*b537 + 2332*b451*b538 + 2024*
    b451*b539 + 208*b451*b540 + 2756*b451*b541 + 2392*b451*b542 + 280*b451*b543
     + 3710*b451*b544 + 3220*b451*b545 + 552*b451*b546 + 7314*b451*b547 + 6348*
    b451*b548 + 376*b451*b549 + 4982*b451*b550 + 4324*b451*b551 + 488*b451*b552
     + 6466*b451*b553 + 5612*b451*b554 + 680*b451*b555 + 9010*b451*b556 + 7820*
    b451*b557 + 272*b451*b558 + 3604*b451*b559 + 3128*b451*b560 + 520*b451*b561
     + 6890*b451*b562 + 5980*b451*b563 + 296*b451*b564 + 3922*b451*b565 + 3404*
    b451*b566 + 384*b451*b567 + 5088*b451*b568 + 4416*b451*b569 + 272*b451*b570
     + 3604*b451*b571 + 3128*b451*b572 + 776*b451*b573 + 10282*b451*b574 + 8924
    *b451*b575 + 176*b451*b576 + 2332*b451*b577 + 2024*b451*b578 + 656*b451*
    b579 + 8692*b451*b580 + 7544*b451*b581 + 32*b451*b582 + 424*b451*b583 + 368
    *b451*b584 + 336*b451*b585 + 4452*b451*b586 + 3864*b451*b587 + 480*b451*
    b591 + 6360*b451*b592 + 5520*b451*b593 + 648*b451*b594 + 8586*b451*b595 + 
    7452*b451*b596 + 296*b451*b597 + 3922*b451*b598 + 3404*b451*b599 + 7854*
    b451*b600 + 2040*b451*b601 + 8466*b451*b602 + 2958*b451*b603 + 6120*b451*
    b604 + 5814*b451*b605 + 7956*b451*b606 + 5916*b451*b608 + 5610*b451*b609 + 
    1938*b451*b610 + 8670*b451*b611 + 5304*b451*b612 + 3468*b451*b613 + 5406*
    b451*b614 + 4080*b451*b615 + 7038*b451*b616 + 1224*b451*b617 + 8670*b451*
    b618 + 7344*b451*b619 + 714*b451*b620 + 4998*b451*b621 + 4692*b451*b622 + 
    5712*b451*b623 + 8*b451*b624 + 106*b451*b625 + 92*b451*b626 + 10320*b452*
    b465 + 8880*b452*b466 + 2520*b452*b467 + 11520*b452*b468 + 1320*b452*b469
     + 8640*b452*b470 + 7560*b452*b471 + 10920*b452*b472 + 6960*b452*b473 + 
    10440*b452*b475 + 6960*b452*b476 + 2040*b452*b477 + 8160*b452*b478 + 3240*
    b452*b479 + 720*b452*b480 + 8040*b452*b481 + 3120*b452*b482 + 9840*b452*
    b483 + 5280*b452*b484 + 4200*b452*b485 + 360*b452*b486 + 13932*b452*b487 + 
    11988*b452*b488 + 3402*b452*b489 + 15552*b452*b490 + 1782*b452*b491 + 11664
    *b452*b492 + 10206*b452*b493 + 14742*b452*b494 + 9396*b452*b495 + 14094*
    b452*b497 + 9396*b452*b498 + 2754*b452*b499 + 11016*b452*b500 + 4374*b452*
    b501 + 972*b452*b502 + 10854*b452*b503 + 4212*b452*b504 + 13284*b452*b505
     + 7128*b452*b506 + 5670*b452*b507 + 486*b452*b508 + 6364*b452*b509 + 5476*
    b452*b510 + 1554*b452*b511 + 7104*b452*b512 + 814*b452*b513 + 5328*b452*
    b514 + 4662*b452*b515 + 6734*b452*b516 + 4292*b452*b517 + 6438*b452*b519 + 
    4292*b452*b520 + 1258*b452*b521 + 5032*b452*b522 + 1998*b452*b523 + 444*
    b452*b524 + 4958*b452*b525 + 1924*b452*b526 + 6068*b452*b527 + 3256*b452*
    b528 + 2590*b452*b529 + 222*b452*b530 + 2142*b452*b531 + 714*b452*b532 + 
    2108*b452*b533 + 7434*b452*b534 + 2478*b452*b535 + 7316*b452*b536 + 2772*
    b452*b537 + 924*b452*b538 + 2728*b452*b539 + 3276*b452*b540 + 1092*b452*
    b541 + 3224*b452*b542 + 4410*b452*b543 + 1470*b452*b544 + 4340*b452*b545 + 
    8694*b452*b546 + 2898*b452*b547 + 8556*b452*b548 + 5922*b452*b549 + 1974*
    b452*b550 + 5828*b452*b551 + 7686*b452*b552 + 2562*b452*b553 + 7564*b452*
    b554 + 10710*b452*b555 + 3570*b452*b556 + 10540*b452*b557 + 4284*b452*b558
     + 1428*b452*b559 + 4216*b452*b560 + 8190*b452*b561 + 2730*b452*b562 + 8060
    *b452*b563 + 4662*b452*b564 + 1554*b452*b565 + 4588*b452*b566 + 6048*b452*
    b567 + 2016*b452*b568 + 5952*b452*b569 + 4284*b452*b570 + 1428*b452*b571 + 
    4216*b452*b572 + 12222*b452*b573 + 4074*b452*b574 + 12028*b452*b575 + 2772*
    b452*b576 + 924*b452*b577 + 2728*b452*b578 + 10332*b452*b579 + 3444*b452*
    b580 + 10168*b452*b581 + 504*b452*b582 + 168*b452*b583 + 496*b452*b584 + 
    5292*b452*b585 + 1764*b452*b586 + 5208*b452*b587 + 7560*b452*b591 + 2520*
    b452*b592 + 7440*b452*b593 + 10206*b452*b594 + 3402*b452*b595 + 10044*b452*
    b596 + 4662*b452*b597 + 1554*b452*b598 + 4588*b452*b599 + 7548*b452*b600 + 
    2142*b452*b601 + 9792*b452*b602 + 1122*b452*b603 + 7344*b452*b604 + 6426*
    b452*b605 + 9282*b452*b606 + 5916*b452*b607 + 8874*b452*b609 + 5916*b452*
    b610 + 1734*b452*b611 + 6936*b452*b612 + 2754*b452*b613 + 2142*b452*b614 + 
    612*b452*b615 + 6834*b452*b616 + 2652*b452*b617 + 8364*b452*b618 + 4488*
    b452*b619 + 3570*b452*b620 + 306*b452*b621 + 6324*b452*b622 + 8772*b452*
    b623 + 126*b452*b624 + 42*b452*b625 + 124*b452*b626 + 5400*b453*b465 + 3600
    *b453*b466 + 7320*b453*b467 + 8880*b453*b468 + 9240*b453*b469 + 8880*b453*
    b470 + 720*b453*b471 + 1560*b453*b472 + 6600*b453*b473 + 10440*b453*b474 + 
    960*b453*b476 + 6120*b453*b477 + 120*b453*b478 + 10920*b453*b479 + 10440*
    b453*b480 + 8640*b453*b481 + 5400*b453*b482 + 11520*b453*b483 + 840*b453*
    b484 + 10440*b453*b485 + 8160*b453*b486 + 7290*b453*b487 + 4860*b453*b488
     + 9882*b453*b489 + 11988*b453*b490 + 12474*b453*b491 + 11988*b453*b492 + 
    972*b453*b493 + 2106*b453*b494 + 8910*b453*b495 + 14094*b453*b496 + 1296*
    b453*b498 + 8262*b453*b499 + 162*b453*b500 + 14742*b453*b501 + 14094*b453*
    b502 + 11664*b453*b503 + 7290*b453*b504 + 15552*b453*b505 + 1134*b453*b506
     + 14094*b453*b507 + 11016*b453*b508 + 3330*b453*b509 + 2220*b453*b510 + 
    4514*b453*b511 + 5476*b453*b512 + 5698*b453*b513 + 5476*b453*b514 + 444*
    b453*b515 + 962*b453*b516 + 4070*b453*b517 + 6438*b453*b518 + 592*b453*b520
     + 3774*b453*b521 + 74*b453*b522 + 6734*b453*b523 + 6438*b453*b524 + 5328*
    b453*b525 + 3330*b453*b526 + 7104*b453*b527 + 518*b453*b528 + 6438*b453*
    b529 + 5032*b453*b530 + 204*b453*b531 + 1326*b453*b532 + 1122*b453*b533 + 
    708*b453*b534 + 4602*b453*b535 + 3894*b453*b536 + 264*b453*b537 + 1716*b453
    *b538 + 1452*b453*b539 + 312*b453*b540 + 2028*b453*b541 + 1716*b453*b542 + 
    420*b453*b543 + 2730*b453*b544 + 2310*b453*b545 + 828*b453*b546 + 5382*b453
    *b547 + 4554*b453*b548 + 564*b453*b549 + 3666*b453*b550 + 3102*b453*b551 + 
    732*b453*b552 + 4758*b453*b553 + 4026*b453*b554 + 1020*b453*b555 + 6630*
    b453*b556 + 5610*b453*b557 + 408*b453*b558 + 2652*b453*b559 + 2244*b453*
    b560 + 780*b453*b561 + 5070*b453*b562 + 4290*b453*b563 + 444*b453*b564 + 
    2886*b453*b565 + 2442*b453*b566 + 576*b453*b567 + 3744*b453*b568 + 3168*
    b453*b569 + 408*b453*b570 + 2652*b453*b571 + 2244*b453*b572 + 1164*b453*
    b573 + 7566*b453*b574 + 6402*b453*b575 + 264*b453*b576 + 1716*b453*b577 + 
    1452*b453*b578 + 984*b453*b579 + 6396*b453*b580 + 5412*b453*b581 + 48*b453*
    b582 + 312*b453*b583 + 264*b453*b584 + 504*b453*b585 + 3276*b453*b586 + 
    2772*b453*b587 + 720*b453*b591 + 4680*b453*b592 + 3960*b453*b593 + 972*b453
    *b594 + 6318*b453*b595 + 5346*b453*b596 + 444*b453*b597 + 2886*b453*b598 + 
    2442*b453*b599 + 3060*b453*b600 + 6222*b453*b601 + 7548*b453*b602 + 7854*
    b453*b603 + 7548*b453*b604 + 612*b453*b605 + 1326*b453*b606 + 5610*b453*
    b607 + 8874*b453*b608 + 816*b453*b610 + 5202*b453*b611 + 102*b453*b612 + 
    9282*b453*b613 + 3978*b453*b614 + 8874*b453*b615 + 7344*b453*b616 + 4590*
    b453*b617 + 9792*b453*b618 + 714*b453*b619 + 8874*b453*b620 + 6936*b453*
    b621 + 3366*b453*b622 + 4590*b453*b623 + 12*b453*b624 + 78*b453*b625 + 66*
    b453*b626 + 10920*b454*b465 + 10680*b454*b466 + 9600*b454*b467 + 5400*b454*
    b468 + 3840*b454*b469 + 5520*b454*b470 + 7080*b454*b472 + 2280*b454*b473 + 
    6960*b454*b474 + 960*b454*b475 + 360*b454*b477 + 2520*b454*b478 + 10800*
    b454*b479 + 5640*b454*b480 + 3000*b454*b481 + 3600*b454*b482 + 5160*b454*
    b483 + 11640*b454*b484 + 3960*b454*b485 + 4200*b454*b486 + 14742*b454*b487
     + 14418*b454*b488 + 12960*b454*b489 + 7290*b454*b490 + 5184*b454*b491 + 
    7452*b454*b492 + 9558*b454*b494 + 3078*b454*b495 + 9396*b454*b496 + 1296*
    b454*b497 + 486*b454*b499 + 3402*b454*b500 + 14580*b454*b501 + 7614*b454*
    b502 + 4050*b454*b503 + 4860*b454*b504 + 6966*b454*b505 + 15714*b454*b506
     + 5346*b454*b507 + 5670*b454*b508 + 6734*b454*b509 + 6586*b454*b510 + 5920
    *b454*b511 + 3330*b454*b512 + 2368*b454*b513 + 3404*b454*b514 + 4366*b454*
    b516 + 1406*b454*b517 + 4292*b454*b518 + 592*b454*b519 + 222*b454*b521 + 
    1554*b454*b522 + 6660*b454*b523 + 3478*b454*b524 + 1850*b454*b525 + 2220*
    b454*b526 + 3182*b454*b527 + 7178*b454*b528 + 2442*b454*b529 + 2590*b454*
    b530 + 1496*b454*b531 + 1530*b454*b532 + 2074*b454*b533 + 5192*b454*b534 + 
    5310*b454*b535 + 7198*b454*b536 + 1936*b454*b537 + 1980*b454*b538 + 2684*
    b454*b539 + 2288*b454*b540 + 2340*b454*b541 + 3172*b454*b542 + 3080*b454*
    b543 + 3150*b454*b544 + 4270*b454*b545 + 6072*b454*b546 + 6210*b454*b547 + 
    8418*b454*b548 + 4136*b454*b549 + 4230*b454*b550 + 5734*b454*b551 + 5368*
    b454*b552 + 5490*b454*b553 + 7442*b454*b554 + 7480*b454*b555 + 7650*b454*
    b556 + 10370*b454*b557 + 2992*b454*b558 + 3060*b454*b559 + 4148*b454*b560
     + 5720*b454*b561 + 5850*b454*b562 + 7930*b454*b563 + 3256*b454*b564 + 3330
    *b454*b565 + 4514*b454*b566 + 4224*b454*b567 + 4320*b454*b568 + 5856*b454*
    b569 + 2992*b454*b570 + 3060*b454*b571 + 4148*b454*b572 + 8536*b454*b573 + 
    8730*b454*b574 + 11834*b454*b575 + 1936*b454*b576 + 1980*b454*b577 + 2684*
    b454*b578 + 7216*b454*b579 + 7380*b454*b580 + 10004*b454*b581 + 352*b454*
    b582 + 360*b454*b583 + 488*b454*b584 + 3696*b454*b585 + 3780*b454*b586 + 
    5124*b454*b587 + 5280*b454*b591 + 5400*b454*b592 + 7320*b454*b593 + 7128*
    b454*b594 + 7290*b454*b595 + 9882*b454*b596 + 3256*b454*b597 + 3330*b454*
    b598 + 4514*b454*b599 + 9078*b454*b600 + 8160*b454*b601 + 4590*b454*b602 + 
    3264*b454*b603 + 4692*b454*b604 + 6018*b454*b606 + 1938*b454*b607 + 5916*
    b454*b608 + 816*b454*b609 + 306*b454*b611 + 2142*b454*b612 + 9180*b454*b613
     + 4590*b454*b614 + 4794*b454*b615 + 2550*b454*b616 + 3060*b454*b617 + 4386
    *b454*b618 + 9894*b454*b619 + 3366*b454*b620 + 3570*b454*b621 + 6222*b454*
    b622 + 9282*b454*b623 + 88*b454*b624 + 90*b454*b625 + 122*b454*b626 + 7080*
    b455*b465 + 9120*b455*b466 + 6960*b455*b467 + 7800*b455*b468 + 10440*b455*
    b469 + 1560*b455*b470 + 7440*b455*b471 + 5880*b455*b472 + 10200*b455*b473
     + 2040*b455*b474 + 6120*b455*b475 + 360*b455*b476 + 5040*b455*b478 + 4320*
    b455*b479 + 840*b455*b480 + 10080*b455*b481 + 720*b455*b482 + 5760*b455*
    b485 + 7440*b455*b486 + 9558*b455*b487 + 12312*b455*b488 + 9396*b455*b489
     + 10530*b455*b490 + 14094*b455*b491 + 2106*b455*b492 + 10044*b455*b493 + 
    7938*b455*b494 + 13770*b455*b495 + 2754*b455*b496 + 8262*b455*b497 + 486*
    b455*b498 + 6804*b455*b500 + 5832*b455*b501 + 1134*b455*b502 + 13608*b455*
    b503 + 972*b455*b504 + 7776*b455*b507 + 10044*b455*b508 + 4366*b455*b509 + 
    5624*b455*b510 + 4292*b455*b511 + 4810*b455*b512 + 6438*b455*b513 + 962*
    b455*b514 + 4588*b455*b515 + 3626*b455*b516 + 6290*b455*b517 + 1258*b455*
    b518 + 3774*b455*b519 + 222*b455*b520 + 3108*b455*b522 + 2664*b455*b523 + 
    518*b455*b524 + 6216*b455*b525 + 444*b455*b526 + 3552*b455*b529 + 4588*b455
    *b530 + 1360*b455*b531 + 1462*b455*b532 + 2006*b455*b533 + 4720*b455*b534
     + 5074*b455*b535 + 6962*b455*b536 + 1760*b455*b537 + 1892*b455*b538 + 2596
    *b455*b539 + 2080*b455*b540 + 2236*b455*b541 + 3068*b455*b542 + 2800*b455*
    b543 + 3010*b455*b544 + 4130*b455*b545 + 5520*b455*b546 + 5934*b455*b547 + 
    8142*b455*b548 + 3760*b455*b549 + 4042*b455*b550 + 5546*b455*b551 + 4880*
    b455*b552 + 5246*b455*b553 + 7198*b455*b554 + 6800*b455*b555 + 7310*b455*
    b556 + 10030*b455*b557 + 2720*b455*b558 + 2924*b455*b559 + 4012*b455*b560
     + 5200*b455*b561 + 5590*b455*b562 + 7670*b455*b563 + 2960*b455*b564 + 3182
    *b455*b565 + 4366*b455*b566 + 3840*b455*b567 + 4128*b455*b568 + 5664*b455*
    b569 + 2720*b455*b570 + 2924*b455*b571 + 4012*b455*b572 + 7760*b455*b573 + 
    8342*b455*b574 + 11446*b455*b575 + 1760*b455*b576 + 1892*b455*b577 + 2596*
    b455*b578 + 6560*b455*b579 + 7052*b455*b580 + 9676*b455*b581 + 320*b455*
    b582 + 344*b455*b583 + 472*b455*b584 + 3360*b455*b585 + 3612*b455*b586 + 
    4956*b455*b587 + 4800*b455*b591 + 5160*b455*b592 + 7080*b455*b593 + 6480*
    b455*b594 + 6966*b455*b595 + 9558*b455*b596 + 2960*b455*b597 + 3182*b455*
    b598 + 4366*b455*b599 + 7752*b455*b600 + 5916*b455*b601 + 6630*b455*b602 + 
    8874*b455*b603 + 1326*b455*b604 + 6324*b455*b605 + 4998*b455*b606 + 8670*
    b455*b607 + 1734*b455*b608 + 5202*b455*b609 + 306*b455*b610 + 4284*b455*
    b612 + 3672*b455*b613 + 4386*b455*b614 + 714*b455*b615 + 8568*b455*b616 + 
    612*b455*b617 + 4896*b455*b620 + 6324*b455*b621 + 6018*b455*b622 + 6018*
    b455*b623 + 80*b455*b624 + 86*b455*b625 + 118*b455*b626 + 2160*b456*b465 + 
    9120*b456*b466 + 2520*b456*b467 + 4800*b456*b468 + 8040*b456*b469 + 2400*
    b456*b470 + 4920*b456*b471 + 10200*b456*b472 + 6240*b456*b473 + 8160*b456*
    b474 + 120*b456*b475 + 2520*b456*b476 + 5040*b456*b477 + 3480*b456*b479 + 
    9840*b456*b480 + 3480*b456*b481 + 360*b456*b482 + 360*b456*b483 + 6120*b456
    *b484 + 8040*b456*b485 + 4680*b456*b486 + 2916*b456*b487 + 12312*b456*b488
     + 3402*b456*b489 + 6480*b456*b490 + 10854*b456*b491 + 3240*b456*b492 + 
    6642*b456*b493 + 13770*b456*b494 + 8424*b456*b495 + 11016*b456*b496 + 162*
    b456*b497 + 3402*b456*b498 + 6804*b456*b499 + 4698*b456*b501 + 13284*b456*
    b502 + 4698*b456*b503 + 486*b456*b504 + 486*b456*b505 + 8262*b456*b506 + 
    10854*b456*b507 + 6318*b456*b508 + 1332*b456*b509 + 5624*b456*b510 + 1554*
    b456*b511 + 2960*b456*b512 + 4958*b456*b513 + 1480*b456*b514 + 3034*b456*
    b515 + 6290*b456*b516 + 3848*b456*b517 + 5032*b456*b518 + 74*b456*b519 + 
    1554*b456*b520 + 3108*b456*b521 + 2146*b456*b523 + 6068*b456*b524 + 2146*
    b456*b525 + 222*b456*b526 + 222*b456*b527 + 3774*b456*b528 + 4958*b456*b529
     + 2886*b456*b530 + 2550*b456*b531 + 3196*b456*b532 + 510*b456*b533 + 8850*
    b456*b534 + 11092*b456*b535 + 1770*b456*b536 + 3300*b456*b537 + 4136*b456*
    b538 + 660*b456*b539 + 3900*b456*b540 + 4888*b456*b541 + 780*b456*b542 + 
    5250*b456*b543 + 6580*b456*b544 + 1050*b456*b545 + 10350*b456*b546 + 12972*
    b456*b547 + 2070*b456*b548 + 7050*b456*b549 + 8836*b456*b550 + 1410*b456*
    b551 + 9150*b456*b552 + 11468*b456*b553 + 1830*b456*b554 + 12750*b456*b555
     + 15980*b456*b556 + 2550*b456*b557 + 5100*b456*b558 + 6392*b456*b559 + 
    1020*b456*b560 + 9750*b456*b561 + 12220*b456*b562 + 1950*b456*b563 + 5550*
    b456*b564 + 6956*b456*b565 + 1110*b456*b566 + 7200*b456*b567 + 9024*b456*
    b568 + 1440*b456*b569 + 5100*b456*b570 + 6392*b456*b571 + 1020*b456*b572 + 
    14550*b456*b573 + 18236*b456*b574 + 2910*b456*b575 + 3300*b456*b576 + 4136*
    b456*b577 + 660*b456*b578 + 12300*b456*b579 + 15416*b456*b580 + 2460*b456*
    b581 + 600*b456*b582 + 752*b456*b583 + 120*b456*b584 + 6300*b456*b585 + 
    7896*b456*b586 + 1260*b456*b587 + 9000*b456*b591 + 11280*b456*b592 + 1800*
    b456*b593 + 12150*b456*b594 + 15228*b456*b595 + 2430*b456*b596 + 5550*b456*
    b597 + 6956*b456*b598 + 1110*b456*b599 + 7752*b456*b600 + 2142*b456*b601 + 
    4080*b456*b602 + 6834*b456*b603 + 2040*b456*b604 + 4182*b456*b605 + 8670*
    b456*b606 + 5304*b456*b607 + 6936*b456*b608 + 102*b456*b609 + 2142*b456*
    b610 + 4284*b456*b611 + 2958*b456*b613 + 9588*b456*b614 + 8364*b456*b615 + 
    2958*b456*b616 + 306*b456*b617 + 306*b456*b618 + 5202*b456*b619 + 6834*b456
    *b620 + 3978*b456*b621 + 1530*b456*b622 + 1836*b456*b623 + 150*b456*b624 + 
    188*b456*b625 + 30*b456*b626 + 9120*b457*b465 + 4800*b457*b466 + 9120*b457*
    b467 + 6480*b457*b468 + 11280*b457*b469 + 10320*b457*b470 + 7440*b457*b471
     + 10080*b457*b472 + 4080*b457*b473 + 3240*b457*b474 + 10920*b457*b475 + 
    10800*b457*b476 + 4320*b457*b477 + 3480*b457*b478 + 5040*b457*b480 + 2760*
    b457*b481 + 7440*b457*b482 + 7440*b457*b483 + 3360*b457*b484 + 9120*b457*
    b485 + 7920*b457*b486 + 12312*b457*b487 + 6480*b457*b488 + 12312*b457*b489
     + 8748*b457*b490 + 15228*b457*b491 + 13932*b457*b492 + 10044*b457*b493 + 
    13608*b457*b494 + 5508*b457*b495 + 4374*b457*b496 + 14742*b457*b497 + 14580
    *b457*b498 + 5832*b457*b499 + 4698*b457*b500 + 6804*b457*b502 + 3726*b457*
    b503 + 10044*b457*b504 + 10044*b457*b505 + 4536*b457*b506 + 12312*b457*b507
     + 10692*b457*b508 + 5624*b457*b509 + 2960*b457*b510 + 5624*b457*b511 + 
    3996*b457*b512 + 6956*b457*b513 + 6364*b457*b514 + 4588*b457*b515 + 6216*
    b457*b516 + 2516*b457*b517 + 1998*b457*b518 + 6734*b457*b519 + 6660*b457*
    b520 + 2664*b457*b521 + 2146*b457*b522 + 3108*b457*b524 + 1702*b457*b525 + 
    4588*b457*b526 + 4588*b457*b527 + 2072*b457*b528 + 5624*b457*b529 + 4884*
    b457*b530 + 2686*b457*b531 + 2244*b457*b532 + 2788*b457*b533 + 9322*b457*
    b534 + 7788*b457*b535 + 9676*b457*b536 + 3476*b457*b537 + 2904*b457*b538 + 
    3608*b457*b539 + 4108*b457*b540 + 3432*b457*b541 + 4264*b457*b542 + 5530*
    b457*b543 + 4620*b457*b544 + 5740*b457*b545 + 10902*b457*b546 + 9108*b457*
    b547 + 11316*b457*b548 + 7426*b457*b549 + 6204*b457*b550 + 7708*b457*b551
     + 9638*b457*b552 + 8052*b457*b553 + 10004*b457*b554 + 13430*b457*b555 + 
    11220*b457*b556 + 13940*b457*b557 + 5372*b457*b558 + 4488*b457*b559 + 5576*
    b457*b560 + 10270*b457*b561 + 8580*b457*b562 + 10660*b457*b563 + 5846*b457*
    b564 + 4884*b457*b565 + 6068*b457*b566 + 7584*b457*b567 + 6336*b457*b568 + 
    7872*b457*b569 + 5372*b457*b570 + 4488*b457*b571 + 5576*b457*b572 + 15326*
    b457*b573 + 12804*b457*b574 + 15908*b457*b575 + 3476*b457*b576 + 2904*b457*
    b577 + 3608*b457*b578 + 12956*b457*b579 + 10824*b457*b580 + 13448*b457*b581
     + 632*b457*b582 + 528*b457*b583 + 656*b457*b584 + 6636*b457*b585 + 5544*
    b457*b586 + 6888*b457*b587 + 9480*b457*b591 + 7920*b457*b592 + 9840*b457*
    b593 + 12798*b457*b594 + 10692*b457*b595 + 13284*b457*b596 + 5846*b457*b597
     + 4884*b457*b598 + 6068*b457*b599 + 4080*b457*b600 + 7752*b457*b601 + 5508
    *b457*b602 + 9588*b457*b603 + 8772*b457*b604 + 6324*b457*b605 + 8568*b457*
    b606 + 3468*b457*b607 + 2754*b457*b608 + 9282*b457*b609 + 9180*b457*b610 + 
    3672*b457*b611 + 2958*b457*b612 + 6732*b457*b614 + 4284*b457*b615 + 2346*
    b457*b616 + 6324*b457*b617 + 6324*b457*b618 + 2856*b457*b619 + 7752*b457*
    b620 + 6732*b457*b621 + 8364*b457*b622 + 7752*b457*b623 + 158*b457*b624 + 
    132*b457*b625 + 164*b457*b626 + 2160*b458*b465 + 6720*b458*b466 + 5280*b458
    *b467 + 1680*b458*b468 + 240*b458*b469 + 9240*b458*b470 + 3000*b458*b471 + 
    4560*b458*b472 + 4800*b458*b473 + 720*b458*b474 + 10440*b458*b475 + 5640*
    b458*b476 + 840*b458*b477 + 9840*b458*b478 + 5040*b458*b479 + 10320*b458*
    b481 + 7200*b458*b482 + 7440*b458*b483 + 7440*b458*b484 + 9960*b458*b485 + 
    10920*b458*b486 + 2916*b458*b487 + 9072*b458*b488 + 7128*b458*b489 + 2268*
    b458*b490 + 324*b458*b491 + 12474*b458*b492 + 4050*b458*b493 + 6156*b458*
    b494 + 6480*b458*b495 + 972*b458*b496 + 14094*b458*b497 + 7614*b458*b498 + 
    1134*b458*b499 + 13284*b458*b500 + 6804*b458*b501 + 13932*b458*b503 + 9720*
    b458*b504 + 10044*b458*b505 + 10044*b458*b506 + 13446*b458*b507 + 14742*
    b458*b508 + 1332*b458*b509 + 4144*b458*b510 + 3256*b458*b511 + 1036*b458*
    b512 + 148*b458*b513 + 5698*b458*b514 + 1850*b458*b515 + 2812*b458*b516 + 
    2960*b458*b517 + 444*b458*b518 + 6438*b458*b519 + 3478*b458*b520 + 518*b458
    *b521 + 6068*b458*b522 + 3108*b458*b523 + 6364*b458*b525 + 4440*b458*b526
     + 4588*b458*b527 + 4588*b458*b528 + 6142*b458*b529 + 6734*b458*b530 + 3026
    *b458*b531 + 3332*b458*b532 + 1938*b458*b533 + 10502*b458*b534 + 11564*b458
    *b535 + 6726*b458*b536 + 3916*b458*b537 + 4312*b458*b538 + 2508*b458*b539
     + 4628*b458*b540 + 5096*b458*b541 + 2964*b458*b542 + 6230*b458*b543 + 6860
    *b458*b544 + 3990*b458*b545 + 12282*b458*b546 + 13524*b458*b547 + 7866*b458
    *b548 + 8366*b458*b549 + 9212*b458*b550 + 5358*b458*b551 + 10858*b458*b552
     + 11956*b458*b553 + 6954*b458*b554 + 15130*b458*b555 + 16660*b458*b556 + 
    9690*b458*b557 + 6052*b458*b558 + 6664*b458*b559 + 3876*b458*b560 + 11570*
    b458*b561 + 12740*b458*b562 + 7410*b458*b563 + 6586*b458*b564 + 7252*b458*
    b565 + 4218*b458*b566 + 8544*b458*b567 + 9408*b458*b568 + 5472*b458*b569 + 
    6052*b458*b570 + 6664*b458*b571 + 3876*b458*b572 + 17266*b458*b573 + 19012*
    b458*b574 + 11058*b458*b575 + 3916*b458*b576 + 4312*b458*b577 + 2508*b458*
    b578 + 14596*b458*b579 + 16072*b458*b580 + 9348*b458*b581 + 712*b458*b582
     + 784*b458*b583 + 456*b458*b584 + 7476*b458*b585 + 8232*b458*b586 + 4788*
    b458*b587 + 10680*b458*b591 + 11760*b458*b592 + 6840*b458*b593 + 14418*b458
    *b594 + 15876*b458*b595 + 9234*b458*b596 + 6586*b458*b597 + 7252*b458*b598
     + 4218*b458*b599 + 5712*b458*b600 + 4488*b458*b601 + 1428*b458*b602 + 204*
    b458*b603 + 7854*b458*b604 + 2550*b458*b605 + 3876*b458*b606 + 4080*b458*
    b607 + 612*b458*b608 + 8874*b458*b609 + 4794*b458*b610 + 714*b458*b611 + 
    8364*b458*b612 + 4284*b458*b613 + 9996*b458*b614 + 8772*b458*b616 + 6120*
    b458*b617 + 6324*b458*b618 + 6324*b458*b619 + 8466*b458*b620 + 9282*b458*
    b621 + 5814*b458*b622 + 1836*b458*b623 + 178*b458*b624 + 196*b458*b625 + 
    114*b458*b626 + 6840*b459*b465 + 120*b459*b466 + 10200*b459*b467 + 8520*
    b459*b468 + 1200*b459*b469 + 1800*b459*b470 + 9000*b459*b471 + 4920*b459*
    b472 + 8280*b459*b473 + 8040*b459*b474 + 8640*b459*b475 + 3000*b459*b476 + 
    10080*b459*b477 + 3480*b459*b478 + 2760*b459*b479 + 10320*b459*b480 + 7440*
    b459*b482 + 4320*b459*b483 + 240*b459*b484 + 240*b459*b485 + 5160*b459*b486
     + 9234*b459*b487 + 162*b459*b488 + 13770*b459*b489 + 11502*b459*b490 + 
    1620*b459*b491 + 2430*b459*b492 + 12150*b459*b493 + 6642*b459*b494 + 11178*
    b459*b495 + 10854*b459*b496 + 11664*b459*b497 + 4050*b459*b498 + 13608*b459
    *b499 + 4698*b459*b500 + 3726*b459*b501 + 13932*b459*b502 + 10044*b459*b504
     + 5832*b459*b505 + 324*b459*b506 + 324*b459*b507 + 6966*b459*b508 + 4218*
    b459*b509 + 74*b459*b510 + 6290*b459*b511 + 5254*b459*b512 + 740*b459*b513
     + 1110*b459*b514 + 5550*b459*b515 + 3034*b459*b516 + 5106*b459*b517 + 4958
    *b459*b518 + 5328*b459*b519 + 1850*b459*b520 + 6216*b459*b521 + 2146*b459*
    b522 + 1702*b459*b523 + 6364*b459*b524 + 4588*b459*b526 + 2664*b459*b527 + 
    148*b459*b528 + 148*b459*b529 + 3182*b459*b530 + 1190*b459*b531 + 1190*b459
    *b532 + 2210*b459*b533 + 4130*b459*b534 + 4130*b459*b535 + 7670*b459*b536
     + 1540*b459*b537 + 1540*b459*b538 + 2860*b459*b539 + 1820*b459*b540 + 1820
    *b459*b541 + 3380*b459*b542 + 2450*b459*b543 + 2450*b459*b544 + 4550*b459*
    b545 + 4830*b459*b546 + 4830*b459*b547 + 8970*b459*b548 + 3290*b459*b549 + 
    3290*b459*b550 + 6110*b459*b551 + 4270*b459*b552 + 4270*b459*b553 + 7930*
    b459*b554 + 5950*b459*b555 + 5950*b459*b556 + 11050*b459*b557 + 2380*b459*
    b558 + 2380*b459*b559 + 4420*b459*b560 + 4550*b459*b561 + 4550*b459*b562 + 
    8450*b459*b563 + 2590*b459*b564 + 2590*b459*b565 + 4810*b459*b566 + 3360*
    b459*b567 + 3360*b459*b568 + 6240*b459*b569 + 2380*b459*b570 + 2380*b459*
    b571 + 4420*b459*b572 + 6790*b459*b573 + 6790*b459*b574 + 12610*b459*b575
     + 1540*b459*b576 + 1540*b459*b577 + 2860*b459*b578 + 5740*b459*b579 + 5740
    *b459*b580 + 10660*b459*b581 + 280*b459*b582 + 280*b459*b583 + 520*b459*
    b584 + 2940*b459*b585 + 2940*b459*b586 + 5460*b459*b587 + 4200*b459*b591 + 
    4200*b459*b592 + 7800*b459*b593 + 5670*b459*b594 + 5670*b459*b595 + 10530*
    b459*b596 + 2590*b459*b597 + 2590*b459*b598 + 4810*b459*b599 + 102*b459*
    b600 + 8670*b459*b601 + 7242*b459*b602 + 1020*b459*b603 + 1530*b459*b604 + 
    7650*b459*b605 + 4182*b459*b606 + 7038*b459*b607 + 6834*b459*b608 + 7344*
    b459*b609 + 2550*b459*b610 + 8568*b459*b611 + 2958*b459*b612 + 2346*b459*
    b613 + 3570*b459*b614 + 8772*b459*b615 + 6324*b459*b617 + 3672*b459*b618 + 
    204*b459*b619 + 204*b459*b620 + 4386*b459*b621 + 6630*b459*b622 + 5814*b459
    *b623 + 70*b459*b624 + 70*b459*b625 + 130*b459*b626 + 4320*b460*b465 + 6000
    *b460*b466 + 11280*b460*b467 + 9240*b460*b468 + 11880*b460*b469 + 10680*
    b460*b470 + 9120*b460*b471 + 6720*b460*b472 + 1440*b460*b473 + 3120*b460*
    b474 + 5400*b460*b475 + 3600*b460*b476 + 720*b460*b477 + 360*b460*b478 + 
    7440*b460*b479 + 7200*b460*b480 + 7440*b460*b481 + 4440*b460*b483 + 5880*
    b460*b484 + 7320*b460*b485 + 600*b460*b486 + 5832*b460*b487 + 8100*b460*
    b488 + 15228*b460*b489 + 12474*b460*b490 + 16038*b460*b491 + 14418*b460*
    b492 + 12312*b460*b493 + 9072*b460*b494 + 1944*b460*b495 + 4212*b460*b496
     + 7290*b460*b497 + 4860*b460*b498 + 972*b460*b499 + 486*b460*b500 + 10044*
    b460*b501 + 9720*b460*b502 + 10044*b460*b503 + 5994*b460*b505 + 7938*b460*
    b506 + 9882*b460*b507 + 810*b460*b508 + 2664*b460*b509 + 3700*b460*b510 + 
    6956*b460*b511 + 5698*b460*b512 + 7326*b460*b513 + 6586*b460*b514 + 5624*
    b460*b515 + 4144*b460*b516 + 888*b460*b517 + 1924*b460*b518 + 3330*b460*
    b519 + 2220*b460*b520 + 444*b460*b521 + 222*b460*b522 + 4588*b460*b523 + 
    4440*b460*b524 + 4588*b460*b525 + 2738*b460*b527 + 3626*b460*b528 + 4514*
    b460*b529 + 370*b460*b530 + 306*b460*b531 + 510*b460*b532 + 1156*b460*b533
     + 1062*b460*b534 + 1770*b460*b535 + 4012*b460*b536 + 396*b460*b537 + 660*
    b460*b538 + 1496*b460*b539 + 468*b460*b540 + 780*b460*b541 + 1768*b460*b542
     + 630*b460*b543 + 1050*b460*b544 + 2380*b460*b545 + 1242*b460*b546 + 2070*
    b460*b547 + 4692*b460*b548 + 846*b460*b549 + 1410*b460*b550 + 3196*b460*
    b551 + 1098*b460*b552 + 1830*b460*b553 + 4148*b460*b554 + 1530*b460*b555 + 
    2550*b460*b556 + 5780*b460*b557 + 612*b460*b558 + 1020*b460*b559 + 2312*
    b460*b560 + 1170*b460*b561 + 1950*b460*b562 + 4420*b460*b563 + 666*b460*
    b564 + 1110*b460*b565 + 2516*b460*b566 + 864*b460*b567 + 1440*b460*b568 + 
    3264*b460*b569 + 612*b460*b570 + 1020*b460*b571 + 2312*b460*b572 + 1746*
    b460*b573 + 2910*b460*b574 + 6596*b460*b575 + 396*b460*b576 + 660*b460*b577
     + 1496*b460*b578 + 1476*b460*b579 + 2460*b460*b580 + 5576*b460*b581 + 72*
    b460*b582 + 120*b460*b583 + 272*b460*b584 + 756*b460*b585 + 1260*b460*b586
     + 2856*b460*b587 + 1080*b460*b591 + 1800*b460*b592 + 4080*b460*b593 + 1458
    *b460*b594 + 2430*b460*b595 + 5508*b460*b596 + 666*b460*b597 + 1110*b460*
    b598 + 2516*b460*b599 + 5100*b460*b600 + 9588*b460*b601 + 7854*b460*b602 + 
    10098*b460*b603 + 9078*b460*b604 + 7752*b460*b605 + 5712*b460*b606 + 1224*
    b460*b607 + 2652*b460*b608 + 4590*b460*b609 + 3060*b460*b610 + 612*b460*
    b611 + 306*b460*b612 + 6324*b460*b613 + 1530*b460*b614 + 6120*b460*b615 + 
    6324*b460*b616 + 3774*b460*b618 + 4998*b460*b619 + 6222*b460*b620 + 510*
    b460*b621 + 3468*b460*b622 + 3672*b460*b623 + 18*b460*b624 + 30*b460*b625
     + 68*b460*b626 + 7320*b461*b465 + 480*b461*b466 + 10800*b461*b467 + 4320*
    b461*b468 + 6720*b461*b469 + 5760*b461*b470 + 4800*b461*b471 + 4680*b461*
    b472 + 10200*b461*b473 + 9840*b461*b474 + 11520*b461*b475 + 5160*b461*b476
     + 360*b461*b478 + 7440*b461*b479 + 7440*b461*b480 + 4320*b461*b481 + 4440*
    b461*b482 + 6360*b461*b484 + 11520*b461*b485 + 9840*b461*b486 + 9882*b461*
    b487 + 648*b461*b488 + 14580*b461*b489 + 5832*b461*b490 + 9072*b461*b491 + 
    7776*b461*b492 + 6480*b461*b493 + 6318*b461*b494 + 13770*b461*b495 + 13284*
    b461*b496 + 15552*b461*b497 + 6966*b461*b498 + 486*b461*b500 + 10044*b461*
    b501 + 10044*b461*b502 + 5832*b461*b503 + 5994*b461*b504 + 8586*b461*b506
     + 15552*b461*b507 + 13284*b461*b508 + 4514*b461*b509 + 296*b461*b510 + 
    6660*b461*b511 + 2664*b461*b512 + 4144*b461*b513 + 3552*b461*b514 + 2960*
    b461*b515 + 2886*b461*b516 + 6290*b461*b517 + 6068*b461*b518 + 7104*b461*
    b519 + 3182*b461*b520 + 222*b461*b522 + 4588*b461*b523 + 4588*b461*b524 + 
    2664*b461*b525 + 2738*b461*b526 + 3922*b461*b528 + 7104*b461*b529 + 6068*
    b461*b530 + 34*b461*b531 + 578*b461*b532 + 1632*b461*b533 + 118*b461*b534
     + 2006*b461*b535 + 5664*b461*b536 + 44*b461*b537 + 748*b461*b538 + 2112*
    b461*b539 + 52*b461*b540 + 884*b461*b541 + 2496*b461*b542 + 70*b461*b543 + 
    1190*b461*b544 + 3360*b461*b545 + 138*b461*b546 + 2346*b461*b547 + 6624*
    b461*b548 + 94*b461*b549 + 1598*b461*b550 + 4512*b461*b551 + 122*b461*b552
     + 2074*b461*b553 + 5856*b461*b554 + 170*b461*b555 + 2890*b461*b556 + 8160*
    b461*b557 + 68*b461*b558 + 1156*b461*b559 + 3264*b461*b560 + 130*b461*b561
     + 2210*b461*b562 + 6240*b461*b563 + 74*b461*b564 + 1258*b461*b565 + 3552*
    b461*b566 + 96*b461*b567 + 1632*b461*b568 + 4608*b461*b569 + 68*b461*b570
     + 1156*b461*b571 + 3264*b461*b572 + 194*b461*b573 + 3298*b461*b574 + 9312*
    b461*b575 + 44*b461*b576 + 748*b461*b577 + 2112*b461*b578 + 164*b461*b579
     + 2788*b461*b580 + 7872*b461*b581 + 8*b461*b582 + 136*b461*b583 + 384*b461
    *b584 + 84*b461*b585 + 1428*b461*b586 + 4032*b461*b587 + 120*b461*b591 + 
    2040*b461*b592 + 5760*b461*b593 + 162*b461*b594 + 2754*b461*b595 + 7776*
    b461*b596 + 74*b461*b597 + 1258*b461*b598 + 3552*b461*b599 + 408*b461*b600
     + 9180*b461*b601 + 3672*b461*b602 + 5712*b461*b603 + 4896*b461*b604 + 4080
    *b461*b605 + 3978*b461*b606 + 8670*b461*b607 + 8364*b461*b608 + 9792*b461*
    b609 + 4386*b461*b610 + 306*b461*b612 + 6324*b461*b613 + 1734*b461*b614 + 
    6324*b461*b615 + 3672*b461*b616 + 3774*b461*b617 + 5406*b461*b619 + 9792*
    b461*b620 + 8364*b461*b621 + 4896*b461*b622 + 6222*b461*b623 + 2*b461*b624
     + 34*b461*b625 + 96*b461*b626 + 4320*b462*b465 + 4320*b462*b466 + 6120*
    b462*b467 + 6360*b462*b468 + 8400*b462*b469 + 1680*b462*b470 + 7920*b462*
    b471 + 6360*b462*b472 + 8640*b462*b473 + 5280*b462*b474 + 840*b462*b475 + 
    11640*b462*b476 + 6120*b462*b478 + 3360*b462*b479 + 7440*b462*b480 + 240*
    b462*b481 + 5880*b462*b482 + 6360*b462*b483 + 3360*b462*b485 + 3720*b462*
    b486 + 5832*b462*b487 + 5832*b462*b488 + 8262*b462*b489 + 8586*b462*b490 + 
    11340*b462*b491 + 2268*b462*b492 + 10692*b462*b493 + 8586*b462*b494 + 11664
    *b462*b495 + 7128*b462*b496 + 1134*b462*b497 + 15714*b462*b498 + 8262*b462*
    b500 + 4536*b462*b501 + 10044*b462*b502 + 324*b462*b503 + 7938*b462*b504 + 
    8586*b462*b505 + 4536*b462*b507 + 5022*b462*b508 + 2664*b462*b509 + 2664*
    b462*b510 + 3774*b462*b511 + 3922*b462*b512 + 5180*b462*b513 + 1036*b462*
    b514 + 4884*b462*b515 + 3922*b462*b516 + 5328*b462*b517 + 3256*b462*b518 + 
    518*b462*b519 + 7178*b462*b520 + 3774*b462*b522 + 2072*b462*b523 + 4588*
    b462*b524 + 148*b462*b525 + 3626*b462*b526 + 3922*b462*b527 + 2072*b462*
    b529 + 2294*b462*b530 + 2890*b462*b531 + 2618*b462*b532 + 2550*b462*b533 + 
    10030*b462*b534 + 9086*b462*b535 + 8850*b462*b536 + 3740*b462*b537 + 3388*
    b462*b538 + 3300*b462*b539 + 4420*b462*b540 + 4004*b462*b541 + 3900*b462*
    b542 + 5950*b462*b543 + 5390*b462*b544 + 5250*b462*b545 + 11730*b462*b546
     + 10626*b462*b547 + 10350*b462*b548 + 7990*b462*b549 + 7238*b462*b550 + 
    7050*b462*b551 + 10370*b462*b552 + 9394*b462*b553 + 9150*b462*b554 + 14450*
    b462*b555 + 13090*b462*b556 + 12750*b462*b557 + 5780*b462*b558 + 5236*b462*
    b559 + 5100*b462*b560 + 11050*b462*b561 + 10010*b462*b562 + 9750*b462*b563
     + 6290*b462*b564 + 5698*b462*b565 + 5550*b462*b566 + 8160*b462*b567 + 7392
    *b462*b568 + 7200*b462*b569 + 5780*b462*b570 + 5236*b462*b571 + 5100*b462*
    b572 + 16490*b462*b573 + 14938*b462*b574 + 14550*b462*b575 + 3740*b462*b576
     + 3388*b462*b577 + 3300*b462*b578 + 13940*b462*b579 + 12628*b462*b580 + 
    12300*b462*b581 + 680*b462*b582 + 616*b462*b583 + 600*b462*b584 + 7140*b462
    *b585 + 6468*b462*b586 + 6300*b462*b587 + 10200*b462*b591 + 9240*b462*b592
     + 9000*b462*b593 + 13770*b462*b594 + 12474*b462*b595 + 12150*b462*b596 + 
    6290*b462*b597 + 5698*b462*b598 + 5550*b462*b599 + 3672*b462*b600 + 5202*
    b462*b601 + 5406*b462*b602 + 7140*b462*b603 + 1428*b462*b604 + 6732*b462*
    b605 + 5406*b462*b606 + 7344*b462*b607 + 4488*b462*b608 + 714*b462*b609 + 
    9894*b462*b610 + 5202*b462*b612 + 2856*b462*b613 + 7854*b462*b614 + 6324*
    b462*b615 + 204*b462*b616 + 4998*b462*b617 + 5406*b462*b618 + 2856*b462*
    b620 + 3162*b462*b621 + 7650*b462*b622 + 3672*b462*b623 + 170*b462*b624 + 
    154*b462*b625 + 150*b462*b626 + 2520*b463*b465 + 3240*b463*b466 + 360*b463*
    b467 + 4440*b463*b468 + 11880*b463*b469 + 10680*b463*b470 + 6960*b463*b471
     + 9240*b463*b472 + 840*b463*b473 + 4200*b463*b474 + 10440*b463*b475 + 3960
    *b463*b476 + 5760*b463*b477 + 8040*b463*b478 + 9120*b463*b479 + 9960*b463*
    b480 + 240*b463*b481 + 7320*b463*b482 + 11520*b463*b483 + 3360*b463*b484 + 
    120*b463*b486 + 3402*b463*b487 + 4374*b463*b488 + 486*b463*b489 + 5994*b463
    *b490 + 16038*b463*b491 + 14418*b463*b492 + 9396*b463*b493 + 12474*b463*
    b494 + 1134*b463*b495 + 5670*b463*b496 + 14094*b463*b497 + 5346*b463*b498
     + 7776*b463*b499 + 10854*b463*b500 + 12312*b463*b501 + 13446*b463*b502 + 
    324*b463*b503 + 9882*b463*b504 + 15552*b463*b505 + 4536*b463*b506 + 162*
    b463*b508 + 1554*b463*b509 + 1998*b463*b510 + 222*b463*b511 + 2738*b463*
    b512 + 7326*b463*b513 + 6586*b463*b514 + 4292*b463*b515 + 5698*b463*b516 + 
    518*b463*b517 + 2590*b463*b518 + 6438*b463*b519 + 2442*b463*b520 + 3552*
    b463*b521 + 4958*b463*b522 + 5624*b463*b523 + 6142*b463*b524 + 148*b463*
    b525 + 4514*b463*b526 + 7104*b463*b527 + 2072*b463*b528 + 74*b463*b530 + 
    2856*b463*b531 + 1496*b463*b532 + 3230*b463*b533 + 9912*b463*b534 + 5192*
    b463*b535 + 11210*b463*b536 + 3696*b463*b537 + 1936*b463*b538 + 4180*b463*
    b539 + 4368*b463*b540 + 2288*b463*b541 + 4940*b463*b542 + 5880*b463*b543 + 
    3080*b463*b544 + 6650*b463*b545 + 11592*b463*b546 + 6072*b463*b547 + 13110*
    b463*b548 + 7896*b463*b549 + 4136*b463*b550 + 8930*b463*b551 + 10248*b463*
    b552 + 5368*b463*b553 + 11590*b463*b554 + 14280*b463*b555 + 7480*b463*b556
     + 16150*b463*b557 + 5712*b463*b558 + 2992*b463*b559 + 6460*b463*b560 + 
    10920*b463*b561 + 5720*b463*b562 + 12350*b463*b563 + 6216*b463*b564 + 3256*
    b463*b565 + 7030*b463*b566 + 8064*b463*b567 + 4224*b463*b568 + 9120*b463*
    b569 + 5712*b463*b570 + 2992*b463*b571 + 6460*b463*b572 + 16296*b463*b573
     + 8536*b463*b574 + 18430*b463*b575 + 3696*b463*b576 + 1936*b463*b577 + 
    4180*b463*b578 + 13776*b463*b579 + 7216*b463*b580 + 15580*b463*b581 + 672*
    b463*b582 + 352*b463*b583 + 760*b463*b584 + 7056*b463*b585 + 3696*b463*b586
     + 7980*b463*b587 + 10080*b463*b591 + 5280*b463*b592 + 11400*b463*b593 + 
    13608*b463*b594 + 7128*b463*b595 + 15390*b463*b596 + 6216*b463*b597 + 3256*
    b463*b598 + 7030*b463*b599 + 2754*b463*b600 + 306*b463*b601 + 3774*b463*
    b602 + 10098*b463*b603 + 9078*b463*b604 + 5916*b463*b605 + 7854*b463*b606
     + 714*b463*b607 + 3570*b463*b608 + 8874*b463*b609 + 3366*b463*b610 + 4896*
    b463*b611 + 6834*b463*b612 + 7752*b463*b613 + 4488*b463*b614 + 8466*b463*
    b615 + 204*b463*b616 + 6222*b463*b617 + 9792*b463*b618 + 2856*b463*b619 + 
    102*b463*b621 + 9690*b463*b622 + 2142*b463*b623 + 168*b463*b624 + 88*b463*
    b625 + 190*b463*b626 + 8520*b464*b465 + 10200*b464*b466 + 5760*b464*b467 + 
    3120*b464*b468 + 7200*b464*b469 + 5280*b464*b470 + 3600*b464*b471 + 6000*
    b464*b472 + 5880*b464*b473 + 360*b464*b474 + 8160*b464*b475 + 4200*b464*
    b476 + 7440*b464*b477 + 4680*b464*b478 + 7920*b464*b479 + 10920*b464*b480
     + 5160*b464*b481 + 600*b464*b482 + 9840*b464*b483 + 3720*b464*b484 + 120*
    b464*b485 + 11502*b464*b487 + 13770*b464*b488 + 7776*b464*b489 + 4212*b464*
    b490 + 9720*b464*b491 + 7128*b464*b492 + 4860*b464*b493 + 8100*b464*b494 + 
    7938*b464*b495 + 486*b464*b496 + 11016*b464*b497 + 5670*b464*b498 + 10044*
    b464*b499 + 6318*b464*b500 + 10692*b464*b501 + 14742*b464*b502 + 6966*b464*
    b503 + 810*b464*b504 + 13284*b464*b505 + 5022*b464*b506 + 162*b464*b507 + 
    5254*b464*b509 + 6290*b464*b510 + 3552*b464*b511 + 1924*b464*b512 + 4440*
    b464*b513 + 3256*b464*b514 + 2220*b464*b515 + 3700*b464*b516 + 3626*b464*
    b517 + 222*b464*b518 + 5032*b464*b519 + 2590*b464*b520 + 4588*b464*b521 + 
    2886*b464*b522 + 4884*b464*b523 + 6734*b464*b524 + 3182*b464*b525 + 370*
    b464*b526 + 6068*b464*b527 + 2294*b464*b528 + 74*b464*b529 + 408*b464*b531
     + 884*b464*b532 + 238*b464*b533 + 1416*b464*b534 + 3068*b464*b535 + 826*
    b464*b536 + 528*b464*b537 + 1144*b464*b538 + 308*b464*b539 + 624*b464*b540
     + 1352*b464*b541 + 364*b464*b542 + 840*b464*b543 + 1820*b464*b544 + 490*
    b464*b545 + 1656*b464*b546 + 3588*b464*b547 + 966*b464*b548 + 1128*b464*
    b549 + 2444*b464*b550 + 658*b464*b551 + 1464*b464*b552 + 3172*b464*b553 + 
    854*b464*b554 + 2040*b464*b555 + 4420*b464*b556 + 1190*b464*b557 + 816*b464
    *b558 + 1768*b464*b559 + 476*b464*b560 + 1560*b464*b561 + 3380*b464*b562 + 
    910*b464*b563 + 888*b464*b564 + 1924*b464*b565 + 518*b464*b566 + 1152*b464*
    b567 + 2496*b464*b568 + 672*b464*b569 + 816*b464*b570 + 1768*b464*b571 + 
    476*b464*b572 + 2328*b464*b573 + 5044*b464*b574 + 1358*b464*b575 + 528*b464
    *b576 + 1144*b464*b577 + 308*b464*b578 + 1968*b464*b579 + 4264*b464*b580 + 
    1148*b464*b581 + 96*b464*b582 + 208*b464*b583 + 56*b464*b584 + 1008*b464*
    b585 + 2184*b464*b586 + 588*b464*b587 + 1440*b464*b591 + 3120*b464*b592 + 
    840*b464*b593 + 1944*b464*b594 + 4212*b464*b595 + 1134*b464*b596 + 888*b464
    *b597 + 1924*b464*b598 + 518*b464*b599 + 8670*b464*b600 + 4896*b464*b601 + 
    2652*b464*b602 + 6120*b464*b603 + 4488*b464*b604 + 3060*b464*b605 + 5100*
    b464*b606 + 4998*b464*b607 + 306*b464*b608 + 6936*b464*b609 + 3570*b464*
    b610 + 6324*b464*b611 + 3978*b464*b612 + 6732*b464*b613 + 2652*b464*b614 + 
    9282*b464*b615 + 4386*b464*b616 + 510*b464*b617 + 8364*b464*b618 + 3162*
    b464*b619 + 102*b464*b620 + 714*b464*b622 + 7242*b464*b623 + 24*b464*b624
     + 52*b464*b625 + 14*b464*b626 + 2184*b465*b488 + 7644*b465*b489 + 924*b465
    *b490 + 2940*b465*b491 + 6888*b465*b492 + 2184*b465*b493 + 5796*b465*b494
     + 4704*b465*b495 + 7224*b465*b496 + 3780*b465*b497 + 7644*b465*b498 + 4956
    *b465*b499 + 1512*b465*b500 + 6384*b465*b501 + 1512*b465*b502 + 4788*b465*
    b503 + 3024*b465*b504 + 5124*b465*b505 + 3024*b465*b506 + 1764*b465*b507 + 
    5964*b465*b508 + 156*b465*b510 + 546*b465*b511 + 66*b465*b512 + 210*b465*
    b513 + 492*b465*b514 + 156*b465*b515 + 414*b465*b516 + 336*b465*b517 + 516*
    b465*b518 + 270*b465*b519 + 546*b465*b520 + 354*b465*b521 + 108*b465*b522
     + 456*b465*b523 + 108*b465*b524 + 342*b465*b525 + 216*b465*b526 + 366*b465
    *b527 + 216*b465*b528 + 126*b465*b529 + 426*b465*b530 + 2142*b465*b531 + 
    3978*b465*b532 + 1122*b465*b533 + 4074*b465*b534 + 7566*b465*b535 + 2134*
    b465*b536 + 2898*b465*b537 + 5382*b465*b538 + 1518*b465*b539 + 3402*b465*
    b540 + 6318*b465*b541 + 1782*b465*b542 + 1722*b465*b543 + 3198*b465*b544 + 
    902*b465*b545 + 2226*b465*b546 + 4134*b465*b547 + 1166*b465*b548 + 1974*
    b465*b549 + 3666*b465*b550 + 1034*b465*b551 + 1050*b465*b552 + 1950*b465*
    b553 + 550*b465*b554 + 2730*b465*b555 + 5070*b465*b556 + 1430*b465*b557 + 
    504*b465*b558 + 936*b465*b559 + 264*b465*b560 + 2772*b465*b561 + 5148*b465*
    b562 + 1452*b465*b563 + 84*b465*b564 + 156*b465*b565 + 44*b465*b566 + 1680*
    b465*b567 + 3120*b465*b568 + 880*b465*b569 + 2100*b465*b570 + 3900*b465*
    b571 + 1100*b465*b572 + 546*b465*b573 + 1014*b465*b574 + 286*b465*b575 + 
    3192*b465*b576 + 5928*b465*b577 + 1672*b465*b578 + 4032*b465*b579 + 7488*
    b465*b580 + 2112*b465*b581 + 1470*b465*b582 + 2730*b465*b583 + 770*b465*
    b584 + 2352*b465*b585 + 4368*b465*b586 + 1232*b465*b587 + 2520*b465*b588 + 
    4680*b465*b589 + 1320*b465*b590 + 1764*b465*b594 + 3276*b465*b595 + 924*
    b465*b596 + 126*b465*b597 + 234*b465*b598 + 66*b465*b599 + 3640*b465*b600
     + 12740*b465*b601 + 1540*b465*b602 + 4900*b465*b603 + 11480*b465*b604 + 
    3640*b465*b605 + 9660*b465*b606 + 7840*b465*b607 + 12040*b465*b608 + 6300*
    b465*b609 + 12740*b465*b610 + 8260*b465*b611 + 2520*b465*b612 + 10640*b465*
    b613 + 5460*b465*b614 + 2520*b465*b615 + 7980*b465*b616 + 5040*b465*b617 + 
    8540*b465*b618 + 5040*b465*b619 + 2940*b465*b620 + 9940*b465*b621 + 1540*
    b465*b622 + 2856*b465*b624 + 5304*b465*b625 + 1496*b465*b626 + 2184*b466*
    b487 + 2436*b466*b489 + 6888*b466*b490 + 6888*b466*b491 + 504*b466*b492 + 
    5964*b466*b493 + 672*b466*b494 + 6468*b466*b495 + 6216*b466*b496 + 2520*
    b466*b497 + 7476*b466*b498 + 6384*b466*b499 + 6384*b466*b500 + 3360*b466*
    b501 + 4704*b466*b502 + 84*b466*b503 + 4200*b466*b504 + 336*b466*b505 + 
    3024*b466*b506 + 2268*b466*b507 + 7140*b466*b508 + 156*b466*b509 + 174*b466
    *b511 + 492*b466*b512 + 492*b466*b513 + 36*b466*b514 + 426*b466*b515 + 48*
    b466*b516 + 462*b466*b517 + 444*b466*b518 + 180*b466*b519 + 534*b466*b520
     + 456*b466*b521 + 456*b466*b522 + 240*b466*b523 + 336*b466*b524 + 6*b466*
    b525 + 300*b466*b526 + 24*b466*b527 + 216*b466*b528 + 162*b466*b529 + 510*
    b466*b530 + 9690*b466*b531 + 9486*b466*b532 + 204*b466*b533 + 18430*b466*
    b534 + 18042*b466*b535 + 388*b466*b536 + 13110*b466*b537 + 12834*b466*b538
     + 276*b466*b539 + 15390*b466*b540 + 15066*b466*b541 + 324*b466*b542 + 7790
    *b466*b543 + 7626*b466*b544 + 164*b466*b545 + 10070*b466*b546 + 9858*b466*
    b547 + 212*b466*b548 + 8930*b466*b549 + 8742*b466*b550 + 188*b466*b551 + 
    4750*b466*b552 + 4650*b466*b553 + 100*b466*b554 + 12350*b466*b555 + 12090*
    b466*b556 + 260*b466*b557 + 2280*b466*b558 + 2232*b466*b559 + 48*b466*b560
     + 12540*b466*b561 + 12276*b466*b562 + 264*b466*b563 + 380*b466*b564 + 372*
    b466*b565 + 8*b466*b566 + 7600*b466*b567 + 7440*b466*b568 + 160*b466*b569
     + 9500*b466*b570 + 9300*b466*b571 + 200*b466*b572 + 2470*b466*b573 + 2418*
    b466*b574 + 52*b466*b575 + 14440*b466*b576 + 14136*b466*b577 + 304*b466*
    b578 + 18240*b466*b579 + 17856*b466*b580 + 384*b466*b581 + 6650*b466*b582
     + 6510*b466*b583 + 140*b466*b584 + 10640*b466*b585 + 10416*b466*b586 + 224
    *b466*b587 + 11400*b466*b588 + 11160*b466*b589 + 240*b466*b590 + 7980*b466*
    b594 + 7812*b466*b595 + 168*b466*b596 + 570*b466*b597 + 558*b466*b598 + 12*
    b466*b599 + 4060*b466*b601 + 11480*b466*b602 + 11480*b466*b603 + 840*b466*
    b604 + 9940*b466*b605 + 1120*b466*b606 + 10780*b466*b607 + 10360*b466*b608
     + 4200*b466*b609 + 12460*b466*b610 + 10640*b466*b611 + 10640*b466*b612 + 
    5600*b466*b613 + 13020*b466*b614 + 7840*b466*b615 + 140*b466*b616 + 7000*
    b466*b617 + 560*b466*b618 + 5040*b466*b619 + 3780*b466*b620 + 11900*b466*
    b621 + 280*b466*b622 + 3640*b466*b623 + 12920*b466*b624 + 12648*b466*b625
     + 272*b466*b626 + 7644*b467*b487 + 2436*b467*b488 + 84*b467*b490 + 1260*
    b467*b491 + 924*b467*b492 + 2940*b467*b493 + 924*b467*b494 + 1680*b467*b495
     + 1764*b467*b496 + 5124*b467*b497 + 6720*b467*b498 + 4872*b467*b499 + 1764
    *b467*b500 + 6384*b467*b501 + 3696*b467*b502 + 7140*b467*b503 + 7896*b467*
    b504 + 7560*b467*b505 + 4284*b467*b506 + 252*b467*b507 + 4032*b467*b508 + 
    546*b467*b509 + 174*b467*b510 + 6*b467*b512 + 90*b467*b513 + 66*b467*b514
     + 210*b467*b515 + 66*b467*b516 + 120*b467*b517 + 126*b467*b518 + 366*b467*
    b519 + 480*b467*b520 + 348*b467*b521 + 126*b467*b522 + 456*b467*b523 + 264*
    b467*b524 + 510*b467*b525 + 564*b467*b526 + 540*b467*b527 + 306*b467*b528
     + 18*b467*b529 + 288*b467*b530 + 8364*b467*b531 + 7344*b467*b532 + 2958*
    b467*b533 + 15908*b467*b534 + 13968*b467*b535 + 5626*b467*b536 + 11316*b467
    *b537 + 9936*b467*b538 + 4002*b467*b539 + 13284*b467*b540 + 11664*b467*b541
     + 4698*b467*b542 + 6724*b467*b543 + 5904*b467*b544 + 2378*b467*b545 + 8692
    *b467*b546 + 7632*b467*b547 + 3074*b467*b548 + 7708*b467*b549 + 6768*b467*
    b550 + 2726*b467*b551 + 4100*b467*b552 + 3600*b467*b553 + 1450*b467*b554 + 
    10660*b467*b555 + 9360*b467*b556 + 3770*b467*b557 + 1968*b467*b558 + 1728*
    b467*b559 + 696*b467*b560 + 10824*b467*b561 + 9504*b467*b562 + 3828*b467*
    b563 + 328*b467*b564 + 288*b467*b565 + 116*b467*b566 + 6560*b467*b567 + 
    5760*b467*b568 + 2320*b467*b569 + 8200*b467*b570 + 7200*b467*b571 + 2900*
    b467*b572 + 2132*b467*b573 + 1872*b467*b574 + 754*b467*b575 + 12464*b467*
    b576 + 10944*b467*b577 + 4408*b467*b578 + 15744*b467*b579 + 13824*b467*b580
     + 5568*b467*b581 + 5740*b467*b582 + 5040*b467*b583 + 2030*b467*b584 + 9184
    *b467*b585 + 8064*b467*b586 + 3248*b467*b587 + 9840*b467*b588 + 8640*b467*
    b589 + 3480*b467*b590 + 6888*b467*b594 + 6048*b467*b595 + 2436*b467*b596 + 
    492*b467*b597 + 432*b467*b598 + 174*b467*b599 + 4060*b467*b600 + 140*b467*
    b602 + 2100*b467*b603 + 1540*b467*b604 + 4900*b467*b605 + 1540*b467*b606 + 
    2800*b467*b607 + 2940*b467*b608 + 8540*b467*b609 + 11200*b467*b610 + 8120*
    b467*b611 + 2940*b467*b612 + 10640*b467*b613 + 10080*b467*b614 + 6160*b467*
    b615 + 11900*b467*b616 + 13160*b467*b617 + 12600*b467*b618 + 7140*b467*b619
     + 420*b467*b620 + 6720*b467*b621 + 4060*b467*b622 + 12740*b467*b623 + 
    11152*b467*b624 + 9792*b467*b625 + 3944*b467*b626 + 924*b468*b487 + 6888*
    b468*b488 + 84*b468*b489 + 7560*b468*b491 + 5544*b468*b492 + 3444*b468*b493
     + 1260*b468*b494 + 6972*b468*b495 + 8064*b468*b496 + 6216*b468*b497 + 3780
    *b468*b498 + 5460*b468*b499 + 3360*b468*b500 + 4536*b468*b501 + 1176*b468*
    b502 + 5964*b468*b503 + 6468*b468*b504 + 3024*b468*b505 + 4452*b468*b506 + 
    3108*b468*b507 + 2184*b468*b508 + 66*b468*b509 + 492*b468*b510 + 6*b468*
    b511 + 540*b468*b513 + 396*b468*b514 + 246*b468*b515 + 90*b468*b516 + 498*
    b468*b517 + 576*b468*b518 + 444*b468*b519 + 270*b468*b520 + 390*b468*b521
     + 240*b468*b522 + 324*b468*b523 + 84*b468*b524 + 426*b468*b525 + 462*b468*
    b526 + 216*b468*b527 + 318*b468*b528 + 222*b468*b529 + 156*b468*b530 + 5712
    *b468*b531 + 8466*b468*b532 + 8874*b468*b533 + 10864*b468*b534 + 16102*b468
    *b535 + 16878*b468*b536 + 7728*b468*b537 + 11454*b468*b538 + 12006*b468*
    b539 + 9072*b468*b540 + 13446*b468*b541 + 14094*b468*b542 + 4592*b468*b543
     + 6806*b468*b544 + 7134*b468*b545 + 5936*b468*b546 + 8798*b468*b547 + 9222
    *b468*b548 + 5264*b468*b549 + 7802*b468*b550 + 8178*b468*b551 + 2800*b468*
    b552 + 4150*b468*b553 + 4350*b468*b554 + 7280*b468*b555 + 10790*b468*b556
     + 11310*b468*b557 + 1344*b468*b558 + 1992*b468*b559 + 2088*b468*b560 + 
    7392*b468*b561 + 10956*b468*b562 + 11484*b468*b563 + 224*b468*b564 + 332*
    b468*b565 + 348*b468*b566 + 4480*b468*b567 + 6640*b468*b568 + 6960*b468*
    b569 + 5600*b468*b570 + 8300*b468*b571 + 8700*b468*b572 + 1456*b468*b573 + 
    2158*b468*b574 + 2262*b468*b575 + 8512*b468*b576 + 12616*b468*b577 + 13224*
    b468*b578 + 10752*b468*b579 + 15936*b468*b580 + 16704*b468*b581 + 3920*b468
    *b582 + 5810*b468*b583 + 6090*b468*b584 + 6272*b468*b585 + 9296*b468*b586
     + 9744*b468*b587 + 6720*b468*b588 + 9960*b468*b589 + 10440*b468*b590 + 
    4704*b468*b594 + 6972*b468*b595 + 7308*b468*b596 + 336*b468*b597 + 498*b468
    *b598 + 522*b468*b599 + 11480*b468*b600 + 140*b468*b601 + 12600*b468*b603
     + 9240*b468*b604 + 5740*b468*b605 + 2100*b468*b606 + 11620*b468*b607 + 
    13440*b468*b608 + 10360*b468*b609 + 6300*b468*b610 + 9100*b468*b611 + 5600*
    b468*b612 + 7560*b468*b613 + 11620*b468*b614 + 1960*b468*b615 + 9940*b468*
    b616 + 10780*b468*b617 + 5040*b468*b618 + 7420*b468*b619 + 5180*b468*b620
     + 3640*b468*b621 + 12180*b468*b622 + 1540*b468*b623 + 7616*b468*b624 + 
    11288*b468*b625 + 11832*b468*b626 + 2940*b469*b487 + 6888*b469*b488 + 1260*
    b469*b489 + 7560*b469*b490 + 6384*b469*b492 + 7644*b469*b493 + 1092*b469*
    b494 + 2436*b469*b495 + 924*b469*b496 + 6468*b469*b497 + 2688*b469*b498 + 
    7308*b469*b499 + 5628*b469*b500 + 7896*b469*b501 + 168*b469*b502 + 840*b469
    *b503 + 8316*b469*b504 + 4704*b469*b505 + 5880*b469*b506 + 8316*b469*b507
     + 5040*b469*b508 + 210*b469*b509 + 492*b469*b510 + 90*b469*b511 + 540*b469
    *b512 + 456*b469*b514 + 546*b469*b515 + 78*b469*b516 + 174*b469*b517 + 66*
    b469*b518 + 462*b469*b519 + 192*b469*b520 + 522*b469*b521 + 402*b469*b522
     + 564*b469*b523 + 12*b469*b524 + 60*b469*b525 + 594*b469*b526 + 336*b469*
    b527 + 420*b469*b528 + 594*b469*b529 + 360*b469*b530 + 4182*b469*b531 + 
    8058*b469*b532 + 408*b469*b533 + 7954*b469*b534 + 15326*b469*b535 + 776*
    b469*b536 + 5658*b469*b537 + 10902*b469*b538 + 552*b469*b539 + 6642*b469*
    b540 + 12798*b469*b541 + 648*b469*b542 + 3362*b469*b543 + 6478*b469*b544 + 
    328*b469*b545 + 4346*b469*b546 + 8374*b469*b547 + 424*b469*b548 + 3854*b469
    *b549 + 7426*b469*b550 + 376*b469*b551 + 2050*b469*b552 + 3950*b469*b553 + 
    200*b469*b554 + 5330*b469*b555 + 10270*b469*b556 + 520*b469*b557 + 984*b469
    *b558 + 1896*b469*b559 + 96*b469*b560 + 5412*b469*b561 + 10428*b469*b562 + 
    528*b469*b563 + 164*b469*b564 + 316*b469*b565 + 16*b469*b566 + 3280*b469*
    b567 + 6320*b469*b568 + 320*b469*b569 + 4100*b469*b570 + 7900*b469*b571 + 
    400*b469*b572 + 1066*b469*b573 + 2054*b469*b574 + 104*b469*b575 + 6232*b469
    *b576 + 12008*b469*b577 + 608*b469*b578 + 7872*b469*b579 + 15168*b469*b580
     + 768*b469*b581 + 2870*b469*b582 + 5530*b469*b583 + 280*b469*b584 + 4592*
    b469*b585 + 8848*b469*b586 + 448*b469*b587 + 4920*b469*b588 + 9480*b469*
    b589 + 480*b469*b590 + 3444*b469*b594 + 6636*b469*b595 + 336*b469*b596 + 
    246*b469*b597 + 474*b469*b598 + 24*b469*b599 + 11480*b469*b600 + 2100*b469*
    b601 + 12600*b469*b602 + 10640*b469*b604 + 12740*b469*b605 + 1820*b469*b606
     + 4060*b469*b607 + 1540*b469*b608 + 10780*b469*b609 + 4480*b469*b610 + 
    12180*b469*b611 + 9380*b469*b612 + 13160*b469*b613 + 11060*b469*b614 + 280*
    b469*b615 + 1400*b469*b616 + 13860*b469*b617 + 7840*b469*b618 + 9800*b469*
    b619 + 13860*b469*b620 + 8400*b469*b621 + 560*b469*b622 + 4900*b469*b623 + 
    5576*b469*b624 + 10744*b469*b625 + 544*b469*b626 + 6888*b470*b487 + 504*
    b470*b488 + 924*b470*b489 + 5544*b470*b490 + 6384*b470*b491 + 4704*b470*
    b493 + 168*b470*b494 + 5040*b470*b495 + 6048*b470*b496 + 6216*b470*b497 + 
    3864*b470*b498 + 1092*b470*b499 + 1680*b470*b500 + 7224*b470*b501 + 6468*
    b470*b502 + 1260*b470*b503 + 7476*b470*b504 + 4032*b470*b505 + 1176*b470*
    b506 + 7476*b470*b507 + 3696*b470*b508 + 492*b470*b509 + 36*b470*b510 + 66*
    b470*b511 + 396*b470*b512 + 456*b470*b513 + 336*b470*b515 + 12*b470*b516 + 
    360*b470*b517 + 432*b470*b518 + 444*b470*b519 + 276*b470*b520 + 78*b470*
    b521 + 120*b470*b522 + 516*b470*b523 + 462*b470*b524 + 90*b470*b525 + 534*
    b470*b526 + 288*b470*b527 + 84*b470*b528 + 534*b470*b529 + 264*b470*b530 + 
    612*b470*b531 + 408*b470*b532 + 6018*b470*b533 + 1164*b470*b534 + 776*b470*
    b535 + 11446*b470*b536 + 828*b470*b537 + 552*b470*b538 + 8142*b470*b539 + 
    972*b470*b540 + 648*b470*b541 + 9558*b470*b542 + 492*b470*b543 + 328*b470*
    b544 + 4838*b470*b545 + 636*b470*b546 + 424*b470*b547 + 6254*b470*b548 + 
    564*b470*b549 + 376*b470*b550 + 5546*b470*b551 + 300*b470*b552 + 200*b470*
    b553 + 2950*b470*b554 + 780*b470*b555 + 520*b470*b556 + 7670*b470*b557 + 
    144*b470*b558 + 96*b470*b559 + 1416*b470*b560 + 792*b470*b561 + 528*b470*
    b562 + 7788*b470*b563 + 24*b470*b564 + 16*b470*b565 + 236*b470*b566 + 480*
    b470*b567 + 320*b470*b568 + 4720*b470*b569 + 600*b470*b570 + 400*b470*b571
     + 5900*b470*b572 + 156*b470*b573 + 104*b470*b574 + 1534*b470*b575 + 912*
    b470*b576 + 608*b470*b577 + 8968*b470*b578 + 1152*b470*b579 + 768*b470*b580
     + 11328*b470*b581 + 420*b470*b582 + 280*b470*b583 + 4130*b470*b584 + 672*
    b470*b585 + 448*b470*b586 + 6608*b470*b587 + 720*b470*b588 + 480*b470*b589
     + 7080*b470*b590 + 504*b470*b594 + 336*b470*b595 + 4956*b470*b596 + 36*
    b470*b597 + 24*b470*b598 + 354*b470*b599 + 840*b470*b600 + 1540*b470*b601
     + 9240*b470*b602 + 10640*b470*b603 + 7840*b470*b605 + 280*b470*b606 + 8400
    *b470*b607 + 10080*b470*b608 + 10360*b470*b609 + 6440*b470*b610 + 1820*b470
    *b611 + 2800*b470*b612 + 12040*b470*b613 + 560*b470*b614 + 10780*b470*b615
     + 2100*b470*b616 + 12460*b470*b617 + 6720*b470*b618 + 1960*b470*b619 + 
    12460*b470*b620 + 6160*b470*b621 + 8260*b470*b622 + 11480*b470*b623 + 816*
    b470*b624 + 544*b470*b625 + 8024*b470*b626 + 2184*b471*b487 + 5964*b471*
    b488 + 2940*b471*b489 + 3444*b471*b490 + 7644*b471*b491 + 4704*b471*b492 + 
    1848*b471*b494 + 4788*b471*b495 + 5292*b471*b496 + 504*b471*b497 + 5208*
    b471*b499 + 3444*b471*b500 + 5208*b471*b501 + 2100*b471*b502 + 6300*b471*
    b503 + 6384*b471*b504 + 3360*b471*b505 + 5544*b471*b506 + 4872*b471*b507 + 
    2520*b471*b508 + 156*b471*b509 + 426*b471*b510 + 210*b471*b511 + 246*b471*
    b512 + 546*b471*b513 + 336*b471*b514 + 132*b471*b516 + 342*b471*b517 + 378*
    b471*b518 + 36*b471*b519 + 372*b471*b521 + 246*b471*b522 + 372*b471*b523 + 
    150*b471*b524 + 450*b471*b525 + 456*b471*b526 + 240*b471*b527 + 396*b471*
    b528 + 348*b471*b529 + 180*b471*b530 + 2550*b471*b531 + 4692*b471*b532 + 
    6936*b471*b533 + 4850*b471*b534 + 8924*b471*b535 + 13192*b471*b536 + 3450*
    b471*b537 + 6348*b471*b538 + 9384*b471*b539 + 4050*b471*b540 + 7452*b471*
    b541 + 11016*b471*b542 + 2050*b471*b543 + 3772*b471*b544 + 5576*b471*b545
     + 2650*b471*b546 + 4876*b471*b547 + 7208*b471*b548 + 2350*b471*b549 + 4324
    *b471*b550 + 6392*b471*b551 + 1250*b471*b552 + 2300*b471*b553 + 3400*b471*
    b554 + 3250*b471*b555 + 5980*b471*b556 + 8840*b471*b557 + 600*b471*b558 + 
    1104*b471*b559 + 1632*b471*b560 + 3300*b471*b561 + 6072*b471*b562 + 8976*
    b471*b563 + 100*b471*b564 + 184*b471*b565 + 272*b471*b566 + 2000*b471*b567
     + 3680*b471*b568 + 5440*b471*b569 + 2500*b471*b570 + 4600*b471*b571 + 6800
    *b471*b572 + 650*b471*b573 + 1196*b471*b574 + 1768*b471*b575 + 3800*b471*
    b576 + 6992*b471*b577 + 10336*b471*b578 + 4800*b471*b579 + 8832*b471*b580
     + 13056*b471*b581 + 1750*b471*b582 + 3220*b471*b583 + 4760*b471*b584 + 
    2800*b471*b585 + 5152*b471*b586 + 7616*b471*b587 + 3000*b471*b588 + 5520*
    b471*b589 + 8160*b471*b590 + 2100*b471*b594 + 3864*b471*b595 + 5712*b471*
    b596 + 150*b471*b597 + 276*b471*b598 + 408*b471*b599 + 9940*b471*b600 + 
    4900*b471*b601 + 5740*b471*b602 + 12740*b471*b603 + 7840*b471*b604 + 3080*
    b471*b606 + 7980*b471*b607 + 8820*b471*b608 + 840*b471*b609 + 8680*b471*
    b611 + 5740*b471*b612 + 8680*b471*b613 + 6440*b471*b614 + 3500*b471*b615 + 
    10500*b471*b616 + 10640*b471*b617 + 5600*b471*b618 + 9240*b471*b619 + 8120*
    b471*b620 + 4200*b471*b621 + 9520*b471*b622 + 3640*b471*b623 + 3400*b471*
    b624 + 6256*b471*b625 + 9248*b471*b626 + 5796*b472*b487 + 672*b472*b488 + 
    924*b472*b489 + 1260*b472*b490 + 1092*b472*b491 + 168*b472*b492 + 1848*b472
    *b493 + 6552*b472*b495 + 7644*b472*b496 + 1092*b472*b497 + 4956*b472*b498
     + 4116*b472*b499 + 7140*b472*b500 + 7056*b472*b501 + 3192*b472*b502 + 3444
    *b472*b503 + 4704*b472*b504 + 3276*b472*b505 + 4452*b472*b506 + 6468*b472*
    b507 + 4200*b472*b508 + 414*b472*b509 + 48*b472*b510 + 66*b472*b511 + 90*
    b472*b512 + 78*b472*b513 + 12*b472*b514 + 132*b472*b515 + 468*b472*b517 + 
    546*b472*b518 + 78*b472*b519 + 354*b472*b520 + 294*b472*b521 + 510*b472*
    b522 + 504*b472*b523 + 228*b472*b524 + 246*b472*b525 + 336*b472*b526 + 234*
    b472*b527 + 318*b472*b528 + 462*b472*b529 + 300*b472*b530 + 1020*b472*b531
     + 816*b472*b532 + 3060*b472*b533 + 1940*b472*b534 + 1552*b472*b535 + 5820*
    b472*b536 + 1380*b472*b537 + 1104*b472*b538 + 4140*b472*b539 + 1620*b472*
    b540 + 1296*b472*b541 + 4860*b472*b542 + 820*b472*b543 + 656*b472*b544 + 
    2460*b472*b545 + 1060*b472*b546 + 848*b472*b547 + 3180*b472*b548 + 940*b472
    *b549 + 752*b472*b550 + 2820*b472*b551 + 500*b472*b552 + 400*b472*b553 + 
    1500*b472*b554 + 1300*b472*b555 + 1040*b472*b556 + 3900*b472*b557 + 240*
    b472*b558 + 192*b472*b559 + 720*b472*b560 + 1320*b472*b561 + 1056*b472*b562
     + 3960*b472*b563 + 40*b472*b564 + 32*b472*b565 + 120*b472*b566 + 800*b472*
    b567 + 640*b472*b568 + 2400*b472*b569 + 1000*b472*b570 + 800*b472*b571 + 
    3000*b472*b572 + 260*b472*b573 + 208*b472*b574 + 780*b472*b575 + 1520*b472*
    b576 + 1216*b472*b577 + 4560*b472*b578 + 1920*b472*b579 + 1536*b472*b580 + 
    5760*b472*b581 + 700*b472*b582 + 560*b472*b583 + 2100*b472*b584 + 1120*b472
    *b585 + 896*b472*b586 + 3360*b472*b587 + 1200*b472*b588 + 960*b472*b589 + 
    3600*b472*b590 + 840*b472*b594 + 672*b472*b595 + 2520*b472*b596 + 60*b472*
    b597 + 48*b472*b598 + 180*b472*b599 + 1120*b472*b600 + 1540*b472*b601 + 
    2100*b472*b602 + 1820*b472*b603 + 280*b472*b604 + 3080*b472*b605 + 10920*
    b472*b607 + 12740*b472*b608 + 1820*b472*b609 + 8260*b472*b610 + 6860*b472*
    b611 + 11900*b472*b612 + 11760*b472*b613 + 1120*b472*b614 + 5320*b472*b615
     + 5740*b472*b616 + 7840*b472*b617 + 5460*b472*b618 + 7420*b472*b619 + 
    10780*b472*b620 + 7000*b472*b621 + 4200*b472*b622 + 9660*b472*b623 + 1360*
    b472*b624 + 1088*b472*b625 + 4080*b472*b626 + 4704*b473*b487 + 6468*b473*
    b488 + 1680*b473*b489 + 6972*b473*b490 + 2436*b473*b491 + 5040*b473*b492 + 
    4788*b473*b493 + 6552*b473*b494 + 4872*b473*b496 + 4620*b473*b497 + 1596*
    b473*b498 + 7140*b473*b499 + 4368*b473*b500 + 2856*b473*b501 + 3360*b473*
    b502 + 5796*b473*b503 + 1008*b473*b504 + 7140*b473*b505 + 6048*b473*b506 + 
    588*b473*b507 + 4116*b473*b508 + 336*b473*b509 + 462*b473*b510 + 120*b473*
    b511 + 498*b473*b512 + 174*b473*b513 + 360*b473*b514 + 342*b473*b515 + 468*
    b473*b516 + 348*b473*b518 + 330*b473*b519 + 114*b473*b520 + 510*b473*b521
     + 312*b473*b522 + 204*b473*b523 + 240*b473*b524 + 414*b473*b525 + 72*b473*
    b526 + 510*b473*b527 + 432*b473*b528 + 42*b473*b529 + 294*b473*b530 + 408*
    b473*b531 + 5406*b473*b532 + 4692*b473*b533 + 776*b473*b534 + 10282*b473*
    b535 + 8924*b473*b536 + 552*b473*b537 + 7314*b473*b538 + 6348*b473*b539 + 
    648*b473*b540 + 8586*b473*b541 + 7452*b473*b542 + 328*b473*b543 + 4346*b473
    *b544 + 3772*b473*b545 + 424*b473*b546 + 5618*b473*b547 + 4876*b473*b548 + 
    376*b473*b549 + 4982*b473*b550 + 4324*b473*b551 + 200*b473*b552 + 2650*b473
    *b553 + 2300*b473*b554 + 520*b473*b555 + 6890*b473*b556 + 5980*b473*b557 + 
    96*b473*b558 + 1272*b473*b559 + 1104*b473*b560 + 528*b473*b561 + 6996*b473*
    b562 + 6072*b473*b563 + 16*b473*b564 + 212*b473*b565 + 184*b473*b566 + 320*
    b473*b567 + 4240*b473*b568 + 3680*b473*b569 + 400*b473*b570 + 5300*b473*
    b571 + 4600*b473*b572 + 104*b473*b573 + 1378*b473*b574 + 1196*b473*b575 + 
    608*b473*b576 + 8056*b473*b577 + 6992*b473*b578 + 768*b473*b579 + 10176*
    b473*b580 + 8832*b473*b581 + 280*b473*b582 + 3710*b473*b583 + 3220*b473*
    b584 + 448*b473*b585 + 5936*b473*b586 + 5152*b473*b587 + 480*b473*b588 + 
    6360*b473*b589 + 5520*b473*b590 + 336*b473*b594 + 4452*b473*b595 + 3864*
    b473*b596 + 24*b473*b597 + 318*b473*b598 + 276*b473*b599 + 10780*b473*b600
     + 2800*b473*b601 + 11620*b473*b602 + 4060*b473*b603 + 8400*b473*b604 + 
    7980*b473*b605 + 10920*b473*b606 + 8120*b473*b608 + 7700*b473*b609 + 2660*
    b473*b610 + 11900*b473*b611 + 7280*b473*b612 + 4760*b473*b613 + 7420*b473*
    b614 + 5600*b473*b615 + 9660*b473*b616 + 1680*b473*b617 + 11900*b473*b618
     + 10080*b473*b619 + 980*b473*b620 + 6860*b473*b621 + 6440*b473*b622 + 7840
    *b473*b623 + 544*b473*b624 + 7208*b473*b625 + 6256*b473*b626 + 7224*b474*
    b487 + 6216*b474*b488 + 1764*b474*b489 + 8064*b474*b490 + 924*b474*b491 + 
    6048*b474*b492 + 5292*b474*b493 + 7644*b474*b494 + 4872*b474*b495 + 7308*
    b474*b497 + 4872*b474*b498 + 1428*b474*b499 + 5712*b474*b500 + 2268*b474*
    b501 + 504*b474*b502 + 5628*b474*b503 + 2184*b474*b504 + 6888*b474*b505 + 
    3696*b474*b506 + 2940*b474*b507 + 252*b474*b508 + 516*b474*b509 + 444*b474*
    b510 + 126*b474*b511 + 576*b474*b512 + 66*b474*b513 + 432*b474*b514 + 378*
    b474*b515 + 546*b474*b516 + 348*b474*b517 + 522*b474*b519 + 348*b474*b520
     + 102*b474*b521 + 408*b474*b522 + 162*b474*b523 + 36*b474*b524 + 402*b474*
    b525 + 156*b474*b526 + 492*b474*b527 + 264*b474*b528 + 210*b474*b529 + 18*
    b474*b530 + 6426*b474*b531 + 2142*b474*b532 + 6324*b474*b533 + 12222*b474*
    b534 + 4074*b474*b535 + 12028*b474*b536 + 8694*b474*b537 + 2898*b474*b538
     + 8556*b474*b539 + 10206*b474*b540 + 3402*b474*b541 + 10044*b474*b542 + 
    5166*b474*b543 + 1722*b474*b544 + 5084*b474*b545 + 6678*b474*b546 + 2226*
    b474*b547 + 6572*b474*b548 + 5922*b474*b549 + 1974*b474*b550 + 5828*b474*
    b551 + 3150*b474*b552 + 1050*b474*b553 + 3100*b474*b554 + 8190*b474*b555 + 
    2730*b474*b556 + 8060*b474*b557 + 1512*b474*b558 + 504*b474*b559 + 1488*
    b474*b560 + 8316*b474*b561 + 2772*b474*b562 + 8184*b474*b563 + 252*b474*
    b564 + 84*b474*b565 + 248*b474*b566 + 5040*b474*b567 + 1680*b474*b568 + 
    4960*b474*b569 + 6300*b474*b570 + 2100*b474*b571 + 6200*b474*b572 + 1638*
    b474*b573 + 546*b474*b574 + 1612*b474*b575 + 9576*b474*b576 + 3192*b474*
    b577 + 9424*b474*b578 + 12096*b474*b579 + 4032*b474*b580 + 11904*b474*b581
     + 4410*b474*b582 + 1470*b474*b583 + 4340*b474*b584 + 7056*b474*b585 + 2352
    *b474*b586 + 6944*b474*b587 + 7560*b474*b588 + 2520*b474*b589 + 7440*b474*
    b590 + 5292*b474*b594 + 1764*b474*b595 + 5208*b474*b596 + 378*b474*b597 + 
    126*b474*b598 + 372*b474*b599 + 10360*b474*b600 + 2940*b474*b601 + 13440*
    b474*b602 + 1540*b474*b603 + 10080*b474*b604 + 8820*b474*b605 + 12740*b474*
    b606 + 8120*b474*b607 + 12180*b474*b609 + 8120*b474*b610 + 2380*b474*b611
     + 9520*b474*b612 + 3780*b474*b613 + 2940*b474*b614 + 840*b474*b615 + 9380*
    b474*b616 + 3640*b474*b617 + 11480*b474*b618 + 6160*b474*b619 + 4900*b474*
    b620 + 420*b474*b621 + 8680*b474*b622 + 12040*b474*b623 + 8568*b474*b624 + 
    2856*b474*b625 + 8432*b474*b626 + 3780*b475*b487 + 2520*b475*b488 + 5124*
    b475*b489 + 6216*b475*b490 + 6468*b475*b491 + 6216*b475*b492 + 504*b475*
    b493 + 1092*b475*b494 + 4620*b475*b495 + 7308*b475*b496 + 672*b475*b498 + 
    4284*b475*b499 + 84*b475*b500 + 7644*b475*b501 + 7308*b475*b502 + 6048*b475
    *b503 + 3780*b475*b504 + 8064*b475*b505 + 588*b475*b506 + 7308*b475*b507 + 
    5712*b475*b508 + 270*b475*b509 + 180*b475*b510 + 366*b475*b511 + 444*b475*
    b512 + 462*b475*b513 + 444*b475*b514 + 36*b475*b515 + 78*b475*b516 + 330*
    b475*b517 + 522*b475*b518 + 48*b475*b520 + 306*b475*b521 + 6*b475*b522 + 
    546*b475*b523 + 522*b475*b524 + 432*b475*b525 + 270*b475*b526 + 576*b475*
    b527 + 42*b475*b528 + 522*b475*b529 + 408*b475*b530 + 612*b475*b531 + 3978*
    b475*b532 + 3366*b475*b533 + 1164*b475*b534 + 7566*b475*b535 + 6402*b475*
    b536 + 828*b475*b537 + 5382*b475*b538 + 4554*b475*b539 + 972*b475*b540 + 
    6318*b475*b541 + 5346*b475*b542 + 492*b475*b543 + 3198*b475*b544 + 2706*
    b475*b545 + 636*b475*b546 + 4134*b475*b547 + 3498*b475*b548 + 564*b475*b549
     + 3666*b475*b550 + 3102*b475*b551 + 300*b475*b552 + 1950*b475*b553 + 1650*
    b475*b554 + 780*b475*b555 + 5070*b475*b556 + 4290*b475*b557 + 144*b475*b558
     + 936*b475*b559 + 792*b475*b560 + 792*b475*b561 + 5148*b475*b562 + 4356*
    b475*b563 + 24*b475*b564 + 156*b475*b565 + 132*b475*b566 + 480*b475*b567 + 
    3120*b475*b568 + 2640*b475*b569 + 600*b475*b570 + 3900*b475*b571 + 3300*
    b475*b572 + 156*b475*b573 + 1014*b475*b574 + 858*b475*b575 + 912*b475*b576
     + 5928*b475*b577 + 5016*b475*b578 + 1152*b475*b579 + 7488*b475*b580 + 6336
    *b475*b581 + 420*b475*b582 + 2730*b475*b583 + 2310*b475*b584 + 672*b475*
    b585 + 4368*b475*b586 + 3696*b475*b587 + 720*b475*b588 + 4680*b475*b589 + 
    3960*b475*b590 + 504*b475*b594 + 3276*b475*b595 + 2772*b475*b596 + 36*b475*
    b597 + 234*b475*b598 + 198*b475*b599 + 4200*b475*b600 + 8540*b475*b601 + 
    10360*b475*b602 + 10780*b475*b603 + 10360*b475*b604 + 840*b475*b605 + 1820*
    b475*b606 + 7700*b475*b607 + 12180*b475*b608 + 1120*b475*b610 + 7140*b475*
    b611 + 140*b475*b612 + 12740*b475*b613 + 5460*b475*b614 + 12180*b475*b615
     + 10080*b475*b616 + 6300*b475*b617 + 13440*b475*b618 + 980*b475*b619 + 
    12180*b475*b620 + 9520*b475*b621 + 4620*b475*b622 + 6300*b475*b623 + 816*
    b475*b624 + 5304*b475*b625 + 4488*b475*b626 + 7644*b476*b487 + 7476*b476*
    b488 + 6720*b476*b489 + 3780*b476*b490 + 2688*b476*b491 + 3864*b476*b492 + 
    4956*b476*b494 + 1596*b476*b495 + 4872*b476*b496 + 672*b476*b497 + 252*b476
    *b499 + 1764*b476*b500 + 7560*b476*b501 + 3948*b476*b502 + 2100*b476*b503
     + 2520*b476*b504 + 3612*b476*b505 + 8148*b476*b506 + 2772*b476*b507 + 2940
    *b476*b508 + 546*b476*b509 + 534*b476*b510 + 480*b476*b511 + 270*b476*b512
     + 192*b476*b513 + 276*b476*b514 + 354*b476*b516 + 114*b476*b517 + 348*b476
    *b518 + 48*b476*b519 + 18*b476*b521 + 126*b476*b522 + 540*b476*b523 + 282*
    b476*b524 + 150*b476*b525 + 180*b476*b526 + 258*b476*b527 + 582*b476*b528
     + 198*b476*b529 + 210*b476*b530 + 4488*b476*b531 + 4590*b476*b532 + 6222*
    b476*b533 + 8536*b476*b534 + 8730*b476*b535 + 11834*b476*b536 + 6072*b476*
    b537 + 6210*b476*b538 + 8418*b476*b539 + 7128*b476*b540 + 7290*b476*b541 + 
    9882*b476*b542 + 3608*b476*b543 + 3690*b476*b544 + 5002*b476*b545 + 4664*
    b476*b546 + 4770*b476*b547 + 6466*b476*b548 + 4136*b476*b549 + 4230*b476*
    b550 + 5734*b476*b551 + 2200*b476*b552 + 2250*b476*b553 + 3050*b476*b554 + 
    5720*b476*b555 + 5850*b476*b556 + 7930*b476*b557 + 1056*b476*b558 + 1080*
    b476*b559 + 1464*b476*b560 + 5808*b476*b561 + 5940*b476*b562 + 8052*b476*
    b563 + 176*b476*b564 + 180*b476*b565 + 244*b476*b566 + 3520*b476*b567 + 
    3600*b476*b568 + 4880*b476*b569 + 4400*b476*b570 + 4500*b476*b571 + 6100*
    b476*b572 + 1144*b476*b573 + 1170*b476*b574 + 1586*b476*b575 + 6688*b476*
    b576 + 6840*b476*b577 + 9272*b476*b578 + 8448*b476*b579 + 8640*b476*b580 + 
    11712*b476*b581 + 3080*b476*b582 + 3150*b476*b583 + 4270*b476*b584 + 4928*
    b476*b585 + 5040*b476*b586 + 6832*b476*b587 + 5280*b476*b588 + 5400*b476*
    b589 + 7320*b476*b590 + 3696*b476*b594 + 3780*b476*b595 + 5124*b476*b596 + 
    264*b476*b597 + 270*b476*b598 + 366*b476*b599 + 12460*b476*b600 + 11200*
    b476*b601 + 6300*b476*b602 + 4480*b476*b603 + 6440*b476*b604 + 8260*b476*
    b606 + 2660*b476*b607 + 8120*b476*b608 + 1120*b476*b609 + 420*b476*b611 + 
    2940*b476*b612 + 12600*b476*b613 + 6300*b476*b614 + 6580*b476*b615 + 3500*
    b476*b616 + 4200*b476*b617 + 6020*b476*b618 + 13580*b476*b619 + 4620*b476*
    b620 + 4900*b476*b621 + 8540*b476*b622 + 12740*b476*b623 + 5984*b476*b624
     + 6120*b476*b625 + 8296*b476*b626 + 4956*b477*b487 + 6384*b477*b488 + 4872
    *b477*b489 + 5460*b477*b490 + 7308*b477*b491 + 1092*b477*b492 + 5208*b477*
    b493 + 4116*b477*b494 + 7140*b477*b495 + 1428*b477*b496 + 4284*b477*b497 + 
    252*b477*b498 + 3528*b477*b500 + 3024*b477*b501 + 588*b477*b502 + 7056*b477
    *b503 + 504*b477*b504 + 4032*b477*b507 + 5208*b477*b508 + 354*b477*b509 + 
    456*b477*b510 + 348*b477*b511 + 390*b477*b512 + 522*b477*b513 + 78*b477*
    b514 + 372*b477*b515 + 294*b477*b516 + 510*b477*b517 + 102*b477*b518 + 306*
    b477*b519 + 18*b477*b520 + 252*b477*b522 + 216*b477*b523 + 42*b477*b524 + 
    504*b477*b525 + 36*b477*b526 + 288*b477*b529 + 372*b477*b530 + 4080*b477*
    b531 + 4386*b477*b532 + 6018*b477*b533 + 7760*b477*b534 + 8342*b477*b535 + 
    11446*b477*b536 + 5520*b477*b537 + 5934*b477*b538 + 8142*b477*b539 + 6480*
    b477*b540 + 6966*b477*b541 + 9558*b477*b542 + 3280*b477*b543 + 3526*b477*
    b544 + 4838*b477*b545 + 4240*b477*b546 + 4558*b477*b547 + 6254*b477*b548 + 
    3760*b477*b549 + 4042*b477*b550 + 5546*b477*b551 + 2000*b477*b552 + 2150*
    b477*b553 + 2950*b477*b554 + 5200*b477*b555 + 5590*b477*b556 + 7670*b477*
    b557 + 960*b477*b558 + 1032*b477*b559 + 1416*b477*b560 + 5280*b477*b561 + 
    5676*b477*b562 + 7788*b477*b563 + 160*b477*b564 + 172*b477*b565 + 236*b477*
    b566 + 3200*b477*b567 + 3440*b477*b568 + 4720*b477*b569 + 4000*b477*b570 + 
    4300*b477*b571 + 5900*b477*b572 + 1040*b477*b573 + 1118*b477*b574 + 1534*
    b477*b575 + 6080*b477*b576 + 6536*b477*b577 + 8968*b477*b578 + 7680*b477*
    b579 + 8256*b477*b580 + 11328*b477*b581 + 2800*b477*b582 + 3010*b477*b583
     + 4130*b477*b584 + 4480*b477*b585 + 4816*b477*b586 + 6608*b477*b587 + 4800
    *b477*b588 + 5160*b477*b589 + 7080*b477*b590 + 3360*b477*b594 + 3612*b477*
    b595 + 4956*b477*b596 + 240*b477*b597 + 258*b477*b598 + 354*b477*b599 + 
    10640*b477*b600 + 8120*b477*b601 + 9100*b477*b602 + 12180*b477*b603 + 1820*
    b477*b604 + 8680*b477*b605 + 6860*b477*b606 + 11900*b477*b607 + 2380*b477*
    b608 + 7140*b477*b609 + 420*b477*b610 + 5880*b477*b612 + 5040*b477*b613 + 
    6020*b477*b614 + 980*b477*b615 + 11760*b477*b616 + 840*b477*b617 + 6720*
    b477*b620 + 8680*b477*b621 + 8260*b477*b622 + 8260*b477*b623 + 5440*b477*
    b624 + 5848*b477*b625 + 8024*b477*b626 + 1512*b478*b487 + 6384*b478*b488 + 
    1764*b478*b489 + 3360*b478*b490 + 5628*b478*b491 + 1680*b478*b492 + 3444*
    b478*b493 + 7140*b478*b494 + 4368*b478*b495 + 5712*b478*b496 + 84*b478*b497
     + 1764*b478*b498 + 3528*b478*b499 + 2436*b478*b501 + 6888*b478*b502 + 2436
    *b478*b503 + 252*b478*b504 + 252*b478*b505 + 4284*b478*b506 + 5628*b478*
    b507 + 3276*b478*b508 + 108*b478*b509 + 456*b478*b510 + 126*b478*b511 + 240
    *b478*b512 + 402*b478*b513 + 120*b478*b514 + 246*b478*b515 + 510*b478*b516
     + 312*b478*b517 + 408*b478*b518 + 6*b478*b519 + 126*b478*b520 + 252*b478*
    b521 + 174*b478*b523 + 492*b478*b524 + 174*b478*b525 + 18*b478*b526 + 18*
    b478*b527 + 306*b478*b528 + 402*b478*b529 + 234*b478*b530 + 7650*b478*b531
     + 9588*b478*b532 + 1530*b478*b533 + 14550*b478*b534 + 18236*b478*b535 + 
    2910*b478*b536 + 10350*b478*b537 + 12972*b478*b538 + 2070*b478*b539 + 12150
    *b478*b540 + 15228*b478*b541 + 2430*b478*b542 + 6150*b478*b543 + 7708*b478*
    b544 + 1230*b478*b545 + 7950*b478*b546 + 9964*b478*b547 + 1590*b478*b548 + 
    7050*b478*b549 + 8836*b478*b550 + 1410*b478*b551 + 3750*b478*b552 + 4700*
    b478*b553 + 750*b478*b554 + 9750*b478*b555 + 12220*b478*b556 + 1950*b478*
    b557 + 1800*b478*b558 + 2256*b478*b559 + 360*b478*b560 + 9900*b478*b561 + 
    12408*b478*b562 + 1980*b478*b563 + 300*b478*b564 + 376*b478*b565 + 60*b478*
    b566 + 6000*b478*b567 + 7520*b478*b568 + 1200*b478*b569 + 7500*b478*b570 + 
    9400*b478*b571 + 1500*b478*b572 + 1950*b478*b573 + 2444*b478*b574 + 390*
    b478*b575 + 11400*b478*b576 + 14288*b478*b577 + 2280*b478*b578 + 14400*b478
    *b579 + 18048*b478*b580 + 2880*b478*b581 + 5250*b478*b582 + 6580*b478*b583
     + 1050*b478*b584 + 8400*b478*b585 + 10528*b478*b586 + 1680*b478*b587 + 
    9000*b478*b588 + 11280*b478*b589 + 1800*b478*b590 + 6300*b478*b594 + 7896*
    b478*b595 + 1260*b478*b596 + 450*b478*b597 + 564*b478*b598 + 90*b478*b599
     + 10640*b478*b600 + 2940*b478*b601 + 5600*b478*b602 + 9380*b478*b603 + 
    2800*b478*b604 + 5740*b478*b605 + 11900*b478*b606 + 7280*b478*b607 + 9520*
    b478*b608 + 140*b478*b609 + 2940*b478*b610 + 5880*b478*b611 + 4060*b478*
    b613 + 13160*b478*b614 + 11480*b478*b615 + 4060*b478*b616 + 420*b478*b617
     + 420*b478*b618 + 7140*b478*b619 + 9380*b478*b620 + 5460*b478*b621 + 2100*
    b478*b622 + 2520*b478*b623 + 10200*b478*b624 + 12784*b478*b625 + 2040*b478*
    b626 + 6384*b479*b487 + 3360*b479*b488 + 6384*b479*b489 + 4536*b479*b490 + 
    7896*b479*b491 + 7224*b479*b492 + 5208*b479*b493 + 7056*b479*b494 + 2856*
    b479*b495 + 2268*b479*b496 + 7644*b479*b497 + 7560*b479*b498 + 3024*b479*
    b499 + 2436*b479*b500 + 3528*b479*b502 + 1932*b479*b503 + 5208*b479*b504 + 
    5208*b479*b505 + 2352*b479*b506 + 6384*b479*b507 + 5544*b479*b508 + 456*
    b479*b509 + 240*b479*b510 + 456*b479*b511 + 324*b479*b512 + 564*b479*b513
     + 516*b479*b514 + 372*b479*b515 + 504*b479*b516 + 204*b479*b517 + 162*b479
    *b518 + 546*b479*b519 + 540*b479*b520 + 216*b479*b521 + 174*b479*b522 + 252
    *b479*b524 + 138*b479*b525 + 372*b479*b526 + 372*b479*b527 + 168*b479*b528
     + 456*b479*b529 + 396*b479*b530 + 8058*b479*b531 + 6732*b479*b532 + 8364*
    b479*b533 + 15326*b479*b534 + 12804*b479*b535 + 15908*b479*b536 + 10902*
    b479*b537 + 9108*b479*b538 + 11316*b479*b539 + 12798*b479*b540 + 10692*b479
    *b541 + 13284*b479*b542 + 6478*b479*b543 + 5412*b479*b544 + 6724*b479*b545
     + 8374*b479*b546 + 6996*b479*b547 + 8692*b479*b548 + 7426*b479*b549 + 6204
    *b479*b550 + 7708*b479*b551 + 3950*b479*b552 + 3300*b479*b553 + 4100*b479*
    b554 + 10270*b479*b555 + 8580*b479*b556 + 10660*b479*b557 + 1896*b479*b558
     + 1584*b479*b559 + 1968*b479*b560 + 10428*b479*b561 + 8712*b479*b562 + 
    10824*b479*b563 + 316*b479*b564 + 264*b479*b565 + 328*b479*b566 + 6320*b479
    *b567 + 5280*b479*b568 + 6560*b479*b569 + 7900*b479*b570 + 6600*b479*b571
     + 8200*b479*b572 + 2054*b479*b573 + 1716*b479*b574 + 2132*b479*b575 + 
    12008*b479*b576 + 10032*b479*b577 + 12464*b479*b578 + 15168*b479*b579 + 
    12672*b479*b580 + 15744*b479*b581 + 5530*b479*b582 + 4620*b479*b583 + 5740*
    b479*b584 + 8848*b479*b585 + 7392*b479*b586 + 9184*b479*b587 + 9480*b479*
    b588 + 7920*b479*b589 + 9840*b479*b590 + 6636*b479*b594 + 5544*b479*b595 + 
    6888*b479*b596 + 474*b479*b597 + 396*b479*b598 + 492*b479*b599 + 5600*b479*
    b600 + 10640*b479*b601 + 7560*b479*b602 + 13160*b479*b603 + 12040*b479*b604
     + 8680*b479*b605 + 11760*b479*b606 + 4760*b479*b607 + 3780*b479*b608 + 
    12740*b479*b609 + 12600*b479*b610 + 5040*b479*b611 + 4060*b479*b612 + 9240*
    b479*b614 + 5880*b479*b615 + 3220*b479*b616 + 8680*b479*b617 + 8680*b479*
    b618 + 3920*b479*b619 + 10640*b479*b620 + 9240*b479*b621 + 11480*b479*b622
     + 10640*b479*b623 + 10744*b479*b624 + 8976*b479*b625 + 11152*b479*b626 + 
    1512*b480*b487 + 4704*b480*b488 + 3696*b480*b489 + 1176*b480*b490 + 168*
    b480*b491 + 6468*b480*b492 + 2100*b480*b493 + 3192*b480*b494 + 3360*b480*
    b495 + 504*b480*b496 + 7308*b480*b497 + 3948*b480*b498 + 588*b480*b499 + 
    6888*b480*b500 + 3528*b480*b501 + 7224*b480*b503 + 5040*b480*b504 + 5208*
    b480*b505 + 5208*b480*b506 + 6972*b480*b507 + 7644*b480*b508 + 108*b480*
    b509 + 336*b480*b510 + 264*b480*b511 + 84*b480*b512 + 12*b480*b513 + 462*
    b480*b514 + 150*b480*b515 + 228*b480*b516 + 240*b480*b517 + 36*b480*b518 + 
    522*b480*b519 + 282*b480*b520 + 42*b480*b521 + 492*b480*b522 + 252*b480*
    b523 + 516*b480*b525 + 360*b480*b526 + 372*b480*b527 + 372*b480*b528 + 498*
    b480*b529 + 546*b480*b530 + 9078*b480*b531 + 9996*b480*b532 + 5814*b480*
    b533 + 17266*b480*b534 + 19012*b480*b535 + 11058*b480*b536 + 12282*b480*
    b537 + 13524*b480*b538 + 7866*b480*b539 + 14418*b480*b540 + 15876*b480*b541
     + 9234*b480*b542 + 7298*b480*b543 + 8036*b480*b544 + 4674*b480*b545 + 9434
    *b480*b546 + 10388*b480*b547 + 6042*b480*b548 + 8366*b480*b549 + 9212*b480*
    b550 + 5358*b480*b551 + 4450*b480*b552 + 4900*b480*b553 + 2850*b480*b554 + 
    11570*b480*b555 + 12740*b480*b556 + 7410*b480*b557 + 2136*b480*b558 + 2352*
    b480*b559 + 1368*b480*b560 + 11748*b480*b561 + 12936*b480*b562 + 7524*b480*
    b563 + 356*b480*b564 + 392*b480*b565 + 228*b480*b566 + 7120*b480*b567 + 
    7840*b480*b568 + 4560*b480*b569 + 8900*b480*b570 + 9800*b480*b571 + 5700*
    b480*b572 + 2314*b480*b573 + 2548*b480*b574 + 1482*b480*b575 + 13528*b480*
    b576 + 14896*b480*b577 + 8664*b480*b578 + 17088*b480*b579 + 18816*b480*b580
     + 10944*b480*b581 + 6230*b480*b582 + 6860*b480*b583 + 3990*b480*b584 + 
    9968*b480*b585 + 10976*b480*b586 + 6384*b480*b587 + 10680*b480*b588 + 11760
    *b480*b589 + 6840*b480*b590 + 7476*b480*b594 + 8232*b480*b595 + 4788*b480*
    b596 + 534*b480*b597 + 588*b480*b598 + 342*b480*b599 + 7840*b480*b600 + 
    6160*b480*b601 + 1960*b480*b602 + 280*b480*b603 + 10780*b480*b604 + 3500*
    b480*b605 + 5320*b480*b606 + 5600*b480*b607 + 840*b480*b608 + 12180*b480*
    b609 + 6580*b480*b610 + 980*b480*b611 + 11480*b480*b612 + 5880*b480*b613 + 
    13720*b480*b614 + 12040*b480*b616 + 8400*b480*b617 + 8680*b480*b618 + 8680*
    b480*b619 + 11620*b480*b620 + 12740*b480*b621 + 7980*b480*b622 + 2520*b480*
    b623 + 12104*b480*b624 + 13328*b480*b625 + 7752*b480*b626 + 4788*b481*b487
     + 84*b481*b488 + 7140*b481*b489 + 5964*b481*b490 + 840*b481*b491 + 1260*
    b481*b492 + 6300*b481*b493 + 3444*b481*b494 + 5796*b481*b495 + 5628*b481*
    b496 + 6048*b481*b497 + 2100*b481*b498 + 7056*b481*b499 + 2436*b481*b500 + 
    1932*b481*b501 + 7224*b481*b502 + 5208*b481*b504 + 3024*b481*b505 + 168*
    b481*b506 + 168*b481*b507 + 3612*b481*b508 + 342*b481*b509 + 6*b481*b510 + 
    510*b481*b511 + 426*b481*b512 + 60*b481*b513 + 90*b481*b514 + 450*b481*b515
     + 246*b481*b516 + 414*b481*b517 + 402*b481*b518 + 432*b481*b519 + 150*b481
    *b520 + 504*b481*b521 + 174*b481*b522 + 138*b481*b523 + 516*b481*b524 + 372
    *b481*b526 + 216*b481*b527 + 12*b481*b528 + 12*b481*b529 + 258*b481*b530 + 
    3570*b481*b531 + 3570*b481*b532 + 6630*b481*b533 + 6790*b481*b534 + 6790*
    b481*b535 + 12610*b481*b536 + 4830*b481*b537 + 4830*b481*b538 + 8970*b481*
    b539 + 5670*b481*b540 + 5670*b481*b541 + 10530*b481*b542 + 2870*b481*b543
     + 2870*b481*b544 + 5330*b481*b545 + 3710*b481*b546 + 3710*b481*b547 + 6890
    *b481*b548 + 3290*b481*b549 + 3290*b481*b550 + 6110*b481*b551 + 1750*b481*
    b552 + 1750*b481*b553 + 3250*b481*b554 + 4550*b481*b555 + 4550*b481*b556 + 
    8450*b481*b557 + 840*b481*b558 + 840*b481*b559 + 1560*b481*b560 + 4620*b481
    *b561 + 4620*b481*b562 + 8580*b481*b563 + 140*b481*b564 + 140*b481*b565 + 
    260*b481*b566 + 2800*b481*b567 + 2800*b481*b568 + 5200*b481*b569 + 3500*
    b481*b570 + 3500*b481*b571 + 6500*b481*b572 + 910*b481*b573 + 910*b481*b574
     + 1690*b481*b575 + 5320*b481*b576 + 5320*b481*b577 + 9880*b481*b578 + 6720
    *b481*b579 + 6720*b481*b580 + 12480*b481*b581 + 2450*b481*b582 + 2450*b481*
    b583 + 4550*b481*b584 + 3920*b481*b585 + 3920*b481*b586 + 7280*b481*b587 + 
    4200*b481*b588 + 4200*b481*b589 + 7800*b481*b590 + 2940*b481*b594 + 2940*
    b481*b595 + 5460*b481*b596 + 210*b481*b597 + 210*b481*b598 + 390*b481*b599
     + 140*b481*b600 + 11900*b481*b601 + 9940*b481*b602 + 1400*b481*b603 + 2100
    *b481*b604 + 10500*b481*b605 + 5740*b481*b606 + 9660*b481*b607 + 9380*b481*
    b608 + 10080*b481*b609 + 3500*b481*b610 + 11760*b481*b611 + 4060*b481*b612
     + 3220*b481*b613 + 4900*b481*b614 + 12040*b481*b615 + 8680*b481*b617 + 
    5040*b481*b618 + 280*b481*b619 + 280*b481*b620 + 6020*b481*b621 + 9100*b481
    *b622 + 7980*b481*b623 + 4760*b481*b624 + 4760*b481*b625 + 8840*b481*b626
     + 3024*b482*b487 + 4200*b482*b488 + 7896*b482*b489 + 6468*b482*b490 + 8316
    *b482*b491 + 7476*b482*b492 + 6384*b482*b493 + 4704*b482*b494 + 1008*b482*
    b495 + 2184*b482*b496 + 3780*b482*b497 + 2520*b482*b498 + 504*b482*b499 + 
    252*b482*b500 + 5208*b482*b501 + 5040*b482*b502 + 5208*b482*b503 + 3108*
    b482*b505 + 4116*b482*b506 + 5124*b482*b507 + 420*b482*b508 + 216*b482*b509
     + 300*b482*b510 + 564*b482*b511 + 462*b482*b512 + 594*b482*b513 + 534*b482
    *b514 + 456*b482*b515 + 336*b482*b516 + 72*b482*b517 + 156*b482*b518 + 270*
    b482*b519 + 180*b482*b520 + 36*b482*b521 + 18*b482*b522 + 372*b482*b523 + 
    360*b482*b524 + 372*b482*b525 + 222*b482*b527 + 294*b482*b528 + 366*b482*
    b529 + 30*b482*b530 + 918*b482*b531 + 1530*b482*b532 + 3468*b482*b533 + 
    1746*b482*b534 + 2910*b482*b535 + 6596*b482*b536 + 1242*b482*b537 + 2070*
    b482*b538 + 4692*b482*b539 + 1458*b482*b540 + 2430*b482*b541 + 5508*b482*
    b542 + 738*b482*b543 + 1230*b482*b544 + 2788*b482*b545 + 954*b482*b546 + 
    1590*b482*b547 + 3604*b482*b548 + 846*b482*b549 + 1410*b482*b550 + 3196*
    b482*b551 + 450*b482*b552 + 750*b482*b553 + 1700*b482*b554 + 1170*b482*b555
     + 1950*b482*b556 + 4420*b482*b557 + 216*b482*b558 + 360*b482*b559 + 816*
    b482*b560 + 1188*b482*b561 + 1980*b482*b562 + 4488*b482*b563 + 36*b482*b564
     + 60*b482*b565 + 136*b482*b566 + 720*b482*b567 + 1200*b482*b568 + 2720*
    b482*b569 + 900*b482*b570 + 1500*b482*b571 + 3400*b482*b572 + 234*b482*b573
     + 390*b482*b574 + 884*b482*b575 + 1368*b482*b576 + 2280*b482*b577 + 5168*
    b482*b578 + 1728*b482*b579 + 2880*b482*b580 + 6528*b482*b581 + 630*b482*
    b582 + 1050*b482*b583 + 2380*b482*b584 + 1008*b482*b585 + 1680*b482*b586 + 
    3808*b482*b587 + 1080*b482*b588 + 1800*b482*b589 + 4080*b482*b590 + 756*
    b482*b594 + 1260*b482*b595 + 2856*b482*b596 + 54*b482*b597 + 90*b482*b598
     + 204*b482*b599 + 7000*b482*b600 + 13160*b482*b601 + 10780*b482*b602 + 
    13860*b482*b603 + 12460*b482*b604 + 10640*b482*b605 + 7840*b482*b606 + 1680
    *b482*b607 + 3640*b482*b608 + 6300*b482*b609 + 4200*b482*b610 + 840*b482*
    b611 + 420*b482*b612 + 8680*b482*b613 + 2100*b482*b614 + 8400*b482*b615 + 
    8680*b482*b616 + 5180*b482*b618 + 6860*b482*b619 + 8540*b482*b620 + 700*
    b482*b621 + 4760*b482*b622 + 5040*b482*b623 + 1224*b482*b624 + 2040*b482*
    b625 + 4624*b482*b626 + 5124*b483*b487 + 336*b483*b488 + 7560*b483*b489 + 
    3024*b483*b490 + 4704*b483*b491 + 4032*b483*b492 + 3360*b483*b493 + 3276*
    b483*b494 + 7140*b483*b495 + 6888*b483*b496 + 8064*b483*b497 + 3612*b483*
    b498 + 252*b483*b500 + 5208*b483*b501 + 5208*b483*b502 + 3024*b483*b503 + 
    3108*b483*b504 + 4452*b483*b506 + 8064*b483*b507 + 6888*b483*b508 + 366*
    b483*b509 + 24*b483*b510 + 540*b483*b511 + 216*b483*b512 + 336*b483*b513 + 
    288*b483*b514 + 240*b483*b515 + 234*b483*b516 + 510*b483*b517 + 492*b483*
    b518 + 576*b483*b519 + 258*b483*b520 + 18*b483*b522 + 372*b483*b523 + 372*
    b483*b524 + 216*b483*b525 + 222*b483*b526 + 318*b483*b528 + 576*b483*b529
     + 492*b483*b530 + 102*b483*b531 + 1734*b483*b532 + 4896*b483*b533 + 194*
    b483*b534 + 3298*b483*b535 + 9312*b483*b536 + 138*b483*b537 + 2346*b483*
    b538 + 6624*b483*b539 + 162*b483*b540 + 2754*b483*b541 + 7776*b483*b542 + 
    82*b483*b543 + 1394*b483*b544 + 3936*b483*b545 + 106*b483*b546 + 1802*b483*
    b547 + 5088*b483*b548 + 94*b483*b549 + 1598*b483*b550 + 4512*b483*b551 + 50
    *b483*b552 + 850*b483*b553 + 2400*b483*b554 + 130*b483*b555 + 2210*b483*
    b556 + 6240*b483*b557 + 24*b483*b558 + 408*b483*b559 + 1152*b483*b560 + 132
    *b483*b561 + 2244*b483*b562 + 6336*b483*b563 + 4*b483*b564 + 68*b483*b565
     + 192*b483*b566 + 80*b483*b567 + 1360*b483*b568 + 3840*b483*b569 + 100*
    b483*b570 + 1700*b483*b571 + 4800*b483*b572 + 26*b483*b573 + 442*b483*b574
     + 1248*b483*b575 + 152*b483*b576 + 2584*b483*b577 + 7296*b483*b578 + 192*
    b483*b579 + 3264*b483*b580 + 9216*b483*b581 + 70*b483*b582 + 1190*b483*b583
     + 3360*b483*b584 + 112*b483*b585 + 1904*b483*b586 + 5376*b483*b587 + 120*
    b483*b588 + 2040*b483*b589 + 5760*b483*b590 + 84*b483*b594 + 1428*b483*b595
     + 4032*b483*b596 + 6*b483*b597 + 102*b483*b598 + 288*b483*b599 + 560*b483*
    b600 + 12600*b483*b601 + 5040*b483*b602 + 7840*b483*b603 + 6720*b483*b604
     + 5600*b483*b605 + 5460*b483*b606 + 11900*b483*b607 + 11480*b483*b608 + 
    13440*b483*b609 + 6020*b483*b610 + 420*b483*b612 + 8680*b483*b613 + 2380*
    b483*b614 + 8680*b483*b615 + 5040*b483*b616 + 5180*b483*b617 + 7420*b483*
    b619 + 13440*b483*b620 + 11480*b483*b621 + 6720*b483*b622 + 8540*b483*b623
     + 136*b483*b624 + 2312*b483*b625 + 6528*b483*b626 + 3024*b484*b487 + 3024*
    b484*b488 + 4284*b484*b489 + 4452*b484*b490 + 5880*b484*b491 + 1176*b484*
    b492 + 5544*b484*b493 + 4452*b484*b494 + 6048*b484*b495 + 3696*b484*b496 + 
    588*b484*b497 + 8148*b484*b498 + 4284*b484*b500 + 2352*b484*b501 + 5208*
    b484*b502 + 168*b484*b503 + 4116*b484*b504 + 4452*b484*b505 + 2352*b484*
    b507 + 2604*b484*b508 + 216*b484*b509 + 216*b484*b510 + 306*b484*b511 + 318
    *b484*b512 + 420*b484*b513 + 84*b484*b514 + 396*b484*b515 + 318*b484*b516
     + 432*b484*b517 + 264*b484*b518 + 42*b484*b519 + 582*b484*b520 + 306*b484*
    b522 + 168*b484*b523 + 372*b484*b524 + 12*b484*b525 + 294*b484*b526 + 318*
    b484*b527 + 168*b484*b529 + 186*b484*b530 + 8670*b484*b531 + 7854*b484*b532
     + 7650*b484*b533 + 16490*b484*b534 + 14938*b484*b535 + 14550*b484*b536 + 
    11730*b484*b537 + 10626*b484*b538 + 10350*b484*b539 + 13770*b484*b540 + 
    12474*b484*b541 + 12150*b484*b542 + 6970*b484*b543 + 6314*b484*b544 + 6150*
    b484*b545 + 9010*b484*b546 + 8162*b484*b547 + 7950*b484*b548 + 7990*b484*
    b549 + 7238*b484*b550 + 7050*b484*b551 + 4250*b484*b552 + 3850*b484*b553 + 
    3750*b484*b554 + 11050*b484*b555 + 10010*b484*b556 + 9750*b484*b557 + 2040*
    b484*b558 + 1848*b484*b559 + 1800*b484*b560 + 11220*b484*b561 + 10164*b484*
    b562 + 9900*b484*b563 + 340*b484*b564 + 308*b484*b565 + 300*b484*b566 + 
    6800*b484*b567 + 6160*b484*b568 + 6000*b484*b569 + 8500*b484*b570 + 7700*
    b484*b571 + 7500*b484*b572 + 2210*b484*b573 + 2002*b484*b574 + 1950*b484*
    b575 + 12920*b484*b576 + 11704*b484*b577 + 11400*b484*b578 + 16320*b484*
    b579 + 14784*b484*b580 + 14400*b484*b581 + 5950*b484*b582 + 5390*b484*b583
     + 5250*b484*b584 + 9520*b484*b585 + 8624*b484*b586 + 8400*b484*b587 + 
    10200*b484*b588 + 9240*b484*b589 + 9000*b484*b590 + 7140*b484*b594 + 6468*
    b484*b595 + 6300*b484*b596 + 510*b484*b597 + 462*b484*b598 + 450*b484*b599
     + 5040*b484*b600 + 7140*b484*b601 + 7420*b484*b602 + 9800*b484*b603 + 1960
    *b484*b604 + 9240*b484*b605 + 7420*b484*b606 + 10080*b484*b607 + 6160*b484*
    b608 + 980*b484*b609 + 13580*b484*b610 + 7140*b484*b612 + 3920*b484*b613 + 
    10780*b484*b614 + 8680*b484*b615 + 280*b484*b616 + 6860*b484*b617 + 7420*
    b484*b618 + 3920*b484*b620 + 4340*b484*b621 + 10500*b484*b622 + 5040*b484*
    b623 + 11560*b484*b624 + 10472*b484*b625 + 10200*b484*b626 + 1764*b485*b487
     + 2268*b485*b488 + 252*b485*b489 + 3108*b485*b490 + 8316*b485*b491 + 7476*
    b485*b492 + 4872*b485*b493 + 6468*b485*b494 + 588*b485*b495 + 2940*b485*
    b496 + 7308*b485*b497 + 2772*b485*b498 + 4032*b485*b499 + 5628*b485*b500 + 
    6384*b485*b501 + 6972*b485*b502 + 168*b485*b503 + 5124*b485*b504 + 8064*
    b485*b505 + 2352*b485*b506 + 84*b485*b508 + 126*b485*b509 + 162*b485*b510
     + 18*b485*b511 + 222*b485*b512 + 594*b485*b513 + 534*b485*b514 + 348*b485*
    b515 + 462*b485*b516 + 42*b485*b517 + 210*b485*b518 + 522*b485*b519 + 198*
    b485*b520 + 288*b485*b521 + 402*b485*b522 + 456*b485*b523 + 498*b485*b524
     + 12*b485*b525 + 366*b485*b526 + 576*b485*b527 + 168*b485*b528 + 6*b485*
    b530 + 8568*b485*b531 + 4488*b485*b532 + 9690*b485*b533 + 16296*b485*b534
     + 8536*b485*b535 + 18430*b485*b536 + 11592*b485*b537 + 6072*b485*b538 + 
    13110*b485*b539 + 13608*b485*b540 + 7128*b485*b541 + 15390*b485*b542 + 6888
    *b485*b543 + 3608*b485*b544 + 7790*b485*b545 + 8904*b485*b546 + 4664*b485*
    b547 + 10070*b485*b548 + 7896*b485*b549 + 4136*b485*b550 + 8930*b485*b551
     + 4200*b485*b552 + 2200*b485*b553 + 4750*b485*b554 + 10920*b485*b555 + 
    5720*b485*b556 + 12350*b485*b557 + 2016*b485*b558 + 1056*b485*b559 + 2280*
    b485*b560 + 11088*b485*b561 + 5808*b485*b562 + 12540*b485*b563 + 336*b485*
    b564 + 176*b485*b565 + 380*b485*b566 + 6720*b485*b567 + 3520*b485*b568 + 
    7600*b485*b569 + 8400*b485*b570 + 4400*b485*b571 + 9500*b485*b572 + 2184*
    b485*b573 + 1144*b485*b574 + 2470*b485*b575 + 12768*b485*b576 + 6688*b485*
    b577 + 14440*b485*b578 + 16128*b485*b579 + 8448*b485*b580 + 18240*b485*b581
     + 5880*b485*b582 + 3080*b485*b583 + 6650*b485*b584 + 9408*b485*b585 + 4928
    *b485*b586 + 10640*b485*b587 + 10080*b485*b588 + 5280*b485*b589 + 11400*
    b485*b590 + 7056*b485*b594 + 3696*b485*b595 + 7980*b485*b596 + 504*b485*
    b597 + 264*b485*b598 + 570*b485*b599 + 3780*b485*b600 + 420*b485*b601 + 
    5180*b485*b602 + 13860*b485*b603 + 12460*b485*b604 + 8120*b485*b605 + 10780
    *b485*b606 + 980*b485*b607 + 4900*b485*b608 + 12180*b485*b609 + 4620*b485*
    b610 + 6720*b485*b611 + 9380*b485*b612 + 10640*b485*b613 + 6160*b485*b614
     + 11620*b485*b615 + 280*b485*b616 + 8540*b485*b617 + 13440*b485*b618 + 
    3920*b485*b619 + 140*b485*b621 + 13300*b485*b622 + 2940*b485*b623 + 11424*
    b485*b624 + 5984*b485*b625 + 12920*b485*b626 + 5964*b486*b487 + 7140*b486*
    b488 + 4032*b486*b489 + 2184*b486*b490 + 5040*b486*b491 + 3696*b486*b492 + 
    2520*b486*b493 + 4200*b486*b494 + 4116*b486*b495 + 252*b486*b496 + 5712*
    b486*b497 + 2940*b486*b498 + 5208*b486*b499 + 3276*b486*b500 + 5544*b486*
    b501 + 7644*b486*b502 + 3612*b486*b503 + 420*b486*b504 + 6888*b486*b505 + 
    2604*b486*b506 + 84*b486*b507 + 426*b486*b509 + 510*b486*b510 + 288*b486*
    b511 + 156*b486*b512 + 360*b486*b513 + 264*b486*b514 + 180*b486*b515 + 300*
    b486*b516 + 294*b486*b517 + 18*b486*b518 + 408*b486*b519 + 210*b486*b520 + 
    372*b486*b521 + 234*b486*b522 + 396*b486*b523 + 546*b486*b524 + 258*b486*
    b525 + 30*b486*b526 + 492*b486*b527 + 186*b486*b528 + 6*b486*b529 + 1224*
    b486*b531 + 2652*b486*b532 + 714*b486*b533 + 2328*b486*b534 + 5044*b486*
    b535 + 1358*b486*b536 + 1656*b486*b537 + 3588*b486*b538 + 966*b486*b539 + 
    1944*b486*b540 + 4212*b486*b541 + 1134*b486*b542 + 984*b486*b543 + 2132*
    b486*b544 + 574*b486*b545 + 1272*b486*b546 + 2756*b486*b547 + 742*b486*b548
     + 1128*b486*b549 + 2444*b486*b550 + 658*b486*b551 + 600*b486*b552 + 1300*
    b486*b553 + 350*b486*b554 + 1560*b486*b555 + 3380*b486*b556 + 910*b486*b557
     + 288*b486*b558 + 624*b486*b559 + 168*b486*b560 + 1584*b486*b561 + 3432*
    b486*b562 + 924*b486*b563 + 48*b486*b564 + 104*b486*b565 + 28*b486*b566 + 
    960*b486*b567 + 2080*b486*b568 + 560*b486*b569 + 1200*b486*b570 + 2600*b486
    *b571 + 700*b486*b572 + 312*b486*b573 + 676*b486*b574 + 182*b486*b575 + 
    1824*b486*b576 + 3952*b486*b577 + 1064*b486*b578 + 2304*b486*b579 + 4992*
    b486*b580 + 1344*b486*b581 + 840*b486*b582 + 1820*b486*b583 + 490*b486*b584
     + 1344*b486*b585 + 2912*b486*b586 + 784*b486*b587 + 1440*b486*b588 + 3120*
    b486*b589 + 840*b486*b590 + 1008*b486*b594 + 2184*b486*b595 + 588*b486*b596
     + 72*b486*b597 + 156*b486*b598 + 42*b486*b599 + 11900*b486*b600 + 6720*
    b486*b601 + 3640*b486*b602 + 8400*b486*b603 + 6160*b486*b604 + 4200*b486*
    b605 + 7000*b486*b606 + 6860*b486*b607 + 420*b486*b608 + 9520*b486*b609 + 
    4900*b486*b610 + 8680*b486*b611 + 5460*b486*b612 + 9240*b486*b613 + 3640*
    b486*b614 + 12740*b486*b615 + 6020*b486*b616 + 700*b486*b617 + 11480*b486*
    b618 + 4340*b486*b619 + 140*b486*b620 + 980*b486*b622 + 9940*b486*b623 + 
    1632*b486*b624 + 3536*b486*b625 + 952*b486*b626 + 884*b487*b510 + 3094*b487
    *b511 + 374*b487*b512 + 1190*b487*b513 + 2788*b487*b514 + 884*b487*b515 + 
    2346*b487*b516 + 1904*b487*b517 + 2924*b487*b518 + 1530*b487*b519 + 3094*
    b487*b520 + 2006*b487*b521 + 612*b487*b522 + 2584*b487*b523 + 612*b487*b524
     + 1938*b487*b525 + 1224*b487*b526 + 2074*b487*b527 + 1224*b487*b528 + 714*
    b487*b529 + 2414*b487*b530 + 3528*b487*b531 + 6552*b487*b532 + 1848*b487*
    b533 + 1932*b487*b534 + 3588*b487*b535 + 1012*b487*b536 + 2940*b487*b537 + 
    5460*b487*b538 + 1540*b487*b539 + 1638*b487*b540 + 3042*b487*b541 + 858*
    b487*b542 + 2814*b487*b543 + 5226*b487*b544 + 1474*b487*b545 + 2016*b487*
    b546 + 3744*b487*b547 + 1056*b487*b548 + 378*b487*b549 + 702*b487*b550 + 
    198*b487*b551 + 1722*b487*b552 + 3198*b487*b553 + 902*b487*b554 + 1974*b487
    *b555 + 3666*b487*b556 + 1034*b487*b557 + 840*b487*b558 + 1560*b487*b559 + 
    440*b487*b560 + 1176*b487*b561 + 2184*b487*b562 + 616*b487*b563 + 1554*b487
    *b564 + 2886*b487*b565 + 814*b487*b566 + 420*b487*b567 + 780*b487*b568 + 
    220*b487*b569 + 1764*b487*b570 + 3276*b487*b571 + 924*b487*b572 + 1470*b487
    *b573 + 2730*b487*b574 + 770*b487*b575 + 2310*b487*b576 + 4290*b487*b577 + 
    1210*b487*b578 + 84*b487*b579 + 156*b487*b580 + 44*b487*b581 + 2016*b487*
    b582 + 3744*b487*b583 + 1056*b487*b584 + 126*b487*b585 + 234*b487*b586 + 66
    *b487*b587 + 3402*b487*b588 + 6318*b487*b589 + 1782*b487*b590 + 1764*b487*
    b591 + 3276*b487*b592 + 924*b487*b593 + 714*b487*b597 + 1326*b487*b598 + 
    374*b487*b599 + 2184*b487*b600 + 7644*b487*b601 + 924*b487*b602 + 2940*b487
    *b603 + 6888*b487*b604 + 2184*b487*b605 + 5796*b487*b606 + 4704*b487*b607
     + 7224*b487*b608 + 3780*b487*b609 + 7644*b487*b610 + 4956*b487*b611 + 1512
    *b487*b612 + 6384*b487*b613 + 3276*b487*b614 + 1512*b487*b615 + 4788*b487*
    b616 + 3024*b487*b617 + 5124*b487*b618 + 3024*b487*b619 + 1764*b487*b620 + 
    5964*b487*b621 + 924*b487*b622 + 3906*b487*b624 + 7254*b487*b625 + 2046*
    b487*b626 + 884*b488*b509 + 986*b488*b511 + 2788*b488*b512 + 2788*b488*b513
     + 204*b488*b514 + 2414*b488*b515 + 272*b488*b516 + 2618*b488*b517 + 2516*
    b488*b518 + 1020*b488*b519 + 3026*b488*b520 + 2584*b488*b521 + 2584*b488*
    b522 + 1360*b488*b523 + 1904*b488*b524 + 34*b488*b525 + 1700*b488*b526 + 
    136*b488*b527 + 1224*b488*b528 + 918*b488*b529 + 2890*b488*b530 + 15960*
    b488*b531 + 15624*b488*b532 + 336*b488*b533 + 8740*b488*b534 + 8556*b488*
    b535 + 184*b488*b536 + 13300*b488*b537 + 13020*b488*b538 + 280*b488*b539 + 
    7410*b488*b540 + 7254*b488*b541 + 156*b488*b542 + 12730*b488*b543 + 12462*
    b488*b544 + 268*b488*b545 + 9120*b488*b546 + 8928*b488*b547 + 192*b488*b548
     + 1710*b488*b549 + 1674*b488*b550 + 36*b488*b551 + 7790*b488*b552 + 7626*
    b488*b553 + 164*b488*b554 + 8930*b488*b555 + 8742*b488*b556 + 188*b488*b557
     + 3800*b488*b558 + 3720*b488*b559 + 80*b488*b560 + 5320*b488*b561 + 5208*
    b488*b562 + 112*b488*b563 + 7030*b488*b564 + 6882*b488*b565 + 148*b488*b566
     + 1900*b488*b567 + 1860*b488*b568 + 40*b488*b569 + 7980*b488*b570 + 7812*
    b488*b571 + 168*b488*b572 + 6650*b488*b573 + 6510*b488*b574 + 140*b488*b575
     + 10450*b488*b576 + 10230*b488*b577 + 220*b488*b578 + 380*b488*b579 + 372*
    b488*b580 + 8*b488*b581 + 9120*b488*b582 + 8928*b488*b583 + 192*b488*b584
     + 570*b488*b585 + 558*b488*b586 + 12*b488*b587 + 15390*b488*b588 + 15066*
    b488*b589 + 324*b488*b590 + 7980*b488*b591 + 7812*b488*b592 + 168*b488*b593
     + 3230*b488*b597 + 3162*b488*b598 + 68*b488*b599 + 2436*b488*b601 + 6888*
    b488*b602 + 6888*b488*b603 + 504*b488*b604 + 5964*b488*b605 + 672*b488*b606
     + 6468*b488*b607 + 6216*b488*b608 + 2520*b488*b609 + 7476*b488*b610 + 6384
    *b488*b611 + 6384*b488*b612 + 3360*b488*b613 + 7812*b488*b614 + 4704*b488*
    b615 + 84*b488*b616 + 4200*b488*b617 + 336*b488*b618 + 3024*b488*b619 + 
    2268*b488*b620 + 7140*b488*b621 + 168*b488*b622 + 2184*b488*b623 + 17670*
    b488*b624 + 17298*b488*b625 + 372*b488*b626 + 3094*b489*b509 + 986*b489*
    b510 + 34*b489*b512 + 510*b489*b513 + 374*b489*b514 + 1190*b489*b515 + 374*
    b489*b516 + 680*b489*b517 + 714*b489*b518 + 2074*b489*b519 + 2720*b489*b520
     + 1972*b489*b521 + 714*b489*b522 + 2584*b489*b523 + 1496*b489*b524 + 2890*
    b489*b525 + 3196*b489*b526 + 3060*b489*b527 + 1734*b489*b528 + 102*b489*
    b529 + 1632*b489*b530 + 13776*b489*b531 + 12096*b489*b532 + 4872*b489*b533
     + 7544*b489*b534 + 6624*b489*b535 + 2668*b489*b536 + 11480*b489*b537 + 
    10080*b489*b538 + 4060*b489*b539 + 6396*b489*b540 + 5616*b489*b541 + 2262*
    b489*b542 + 10988*b489*b543 + 9648*b489*b544 + 3886*b489*b545 + 7872*b489*
    b546 + 6912*b489*b547 + 2784*b489*b548 + 1476*b489*b549 + 1296*b489*b550 + 
    522*b489*b551 + 6724*b489*b552 + 5904*b489*b553 + 2378*b489*b554 + 7708*
    b489*b555 + 6768*b489*b556 + 2726*b489*b557 + 3280*b489*b558 + 2880*b489*
    b559 + 1160*b489*b560 + 4592*b489*b561 + 4032*b489*b562 + 1624*b489*b563 + 
    6068*b489*b564 + 5328*b489*b565 + 2146*b489*b566 + 1640*b489*b567 + 1440*
    b489*b568 + 580*b489*b569 + 6888*b489*b570 + 6048*b489*b571 + 2436*b489*
    b572 + 5740*b489*b573 + 5040*b489*b574 + 2030*b489*b575 + 9020*b489*b576 + 
    7920*b489*b577 + 3190*b489*b578 + 328*b489*b579 + 288*b489*b580 + 116*b489*
    b581 + 7872*b489*b582 + 6912*b489*b583 + 2784*b489*b584 + 492*b489*b585 + 
    432*b489*b586 + 174*b489*b587 + 13284*b489*b588 + 11664*b489*b589 + 4698*
    b489*b590 + 6888*b489*b591 + 6048*b489*b592 + 2436*b489*b593 + 2788*b489*
    b597 + 2448*b489*b598 + 986*b489*b599 + 2436*b489*b600 + 84*b489*b602 + 
    1260*b489*b603 + 924*b489*b604 + 2940*b489*b605 + 924*b489*b606 + 1680*b489
    *b607 + 1764*b489*b608 + 5124*b489*b609 + 6720*b489*b610 + 4872*b489*b611
     + 1764*b489*b612 + 6384*b489*b613 + 6048*b489*b614 + 3696*b489*b615 + 7140
    *b489*b616 + 7896*b489*b617 + 7560*b489*b618 + 4284*b489*b619 + 252*b489*
    b620 + 4032*b489*b621 + 2436*b489*b622 + 7644*b489*b623 + 15252*b489*b624
     + 13392*b489*b625 + 5394*b489*b626 + 374*b490*b509 + 2788*b490*b510 + 34*
    b490*b511 + 3060*b490*b513 + 2244*b490*b514 + 1394*b490*b515 + 510*b490*
    b516 + 2822*b490*b517 + 3264*b490*b518 + 2516*b490*b519 + 1530*b490*b520 + 
    2210*b490*b521 + 1360*b490*b522 + 1836*b490*b523 + 476*b490*b524 + 2414*
    b490*b525 + 2618*b490*b526 + 1224*b490*b527 + 1802*b490*b528 + 1258*b490*
    b529 + 884*b490*b530 + 9408*b490*b531 + 13944*b490*b532 + 14616*b490*b533
     + 5152*b490*b534 + 7636*b490*b535 + 8004*b490*b536 + 7840*b490*b537 + 
    11620*b490*b538 + 12180*b490*b539 + 4368*b490*b540 + 6474*b490*b541 + 6786*
    b490*b542 + 7504*b490*b543 + 11122*b490*b544 + 11658*b490*b545 + 5376*b490*
    b546 + 7968*b490*b547 + 8352*b490*b548 + 1008*b490*b549 + 1494*b490*b550 + 
    1566*b490*b551 + 4592*b490*b552 + 6806*b490*b553 + 7134*b490*b554 + 5264*
    b490*b555 + 7802*b490*b556 + 8178*b490*b557 + 2240*b490*b558 + 3320*b490*
    b559 + 3480*b490*b560 + 3136*b490*b561 + 4648*b490*b562 + 4872*b490*b563 + 
    4144*b490*b564 + 6142*b490*b565 + 6438*b490*b566 + 1120*b490*b567 + 1660*
    b490*b568 + 1740*b490*b569 + 4704*b490*b570 + 6972*b490*b571 + 7308*b490*
    b572 + 3920*b490*b573 + 5810*b490*b574 + 6090*b490*b575 + 6160*b490*b576 + 
    9130*b490*b577 + 9570*b490*b578 + 224*b490*b579 + 332*b490*b580 + 348*b490*
    b581 + 5376*b490*b582 + 7968*b490*b583 + 8352*b490*b584 + 336*b490*b585 + 
    498*b490*b586 + 522*b490*b587 + 9072*b490*b588 + 13446*b490*b589 + 14094*
    b490*b590 + 4704*b490*b591 + 6972*b490*b592 + 7308*b490*b593 + 1904*b490*
    b597 + 2822*b490*b598 + 2958*b490*b599 + 6888*b490*b600 + 84*b490*b601 + 
    7560*b490*b603 + 5544*b490*b604 + 3444*b490*b605 + 1260*b490*b606 + 6972*
    b490*b607 + 8064*b490*b608 + 6216*b490*b609 + 3780*b490*b610 + 5460*b490*
    b611 + 3360*b490*b612 + 4536*b490*b613 + 6972*b490*b614 + 1176*b490*b615 + 
    5964*b490*b616 + 6468*b490*b617 + 3024*b490*b618 + 4452*b490*b619 + 3108*
    b490*b620 + 2184*b490*b621 + 7308*b490*b622 + 924*b490*b623 + 10416*b490*
    b624 + 15438*b490*b625 + 16182*b490*b626 + 1190*b491*b509 + 2788*b491*b510
     + 510*b491*b511 + 3060*b491*b512 + 2584*b491*b514 + 3094*b491*b515 + 442*
    b491*b516 + 986*b491*b517 + 374*b491*b518 + 2618*b491*b519 + 1088*b491*b520
     + 2958*b491*b521 + 2278*b491*b522 + 3196*b491*b523 + 68*b491*b524 + 340*
    b491*b525 + 3366*b491*b526 + 1904*b491*b527 + 2380*b491*b528 + 3366*b491*
    b529 + 2040*b491*b530 + 6888*b491*b531 + 13272*b491*b532 + 672*b491*b533 + 
    3772*b491*b534 + 7268*b491*b535 + 368*b491*b536 + 5740*b491*b537 + 11060*
    b491*b538 + 560*b491*b539 + 3198*b491*b540 + 6162*b491*b541 + 312*b491*b542
     + 5494*b491*b543 + 10586*b491*b544 + 536*b491*b545 + 3936*b491*b546 + 7584
    *b491*b547 + 384*b491*b548 + 738*b491*b549 + 1422*b491*b550 + 72*b491*b551
     + 3362*b491*b552 + 6478*b491*b553 + 328*b491*b554 + 3854*b491*b555 + 7426*
    b491*b556 + 376*b491*b557 + 1640*b491*b558 + 3160*b491*b559 + 160*b491*b560
     + 2296*b491*b561 + 4424*b491*b562 + 224*b491*b563 + 3034*b491*b564 + 5846*
    b491*b565 + 296*b491*b566 + 820*b491*b567 + 1580*b491*b568 + 80*b491*b569
     + 3444*b491*b570 + 6636*b491*b571 + 336*b491*b572 + 2870*b491*b573 + 5530*
    b491*b574 + 280*b491*b575 + 4510*b491*b576 + 8690*b491*b577 + 440*b491*b578
     + 164*b491*b579 + 316*b491*b580 + 16*b491*b581 + 3936*b491*b582 + 7584*
    b491*b583 + 384*b491*b584 + 246*b491*b585 + 474*b491*b586 + 24*b491*b587 + 
    6642*b491*b588 + 12798*b491*b589 + 648*b491*b590 + 3444*b491*b591 + 6636*
    b491*b592 + 336*b491*b593 + 1394*b491*b597 + 2686*b491*b598 + 136*b491*b599
     + 6888*b491*b600 + 1260*b491*b601 + 7560*b491*b602 + 6384*b491*b604 + 7644
    *b491*b605 + 1092*b491*b606 + 2436*b491*b607 + 924*b491*b608 + 6468*b491*
    b609 + 2688*b491*b610 + 7308*b491*b611 + 5628*b491*b612 + 7896*b491*b613 + 
    6636*b491*b614 + 168*b491*b615 + 840*b491*b616 + 8316*b491*b617 + 4704*b491
    *b618 + 5880*b491*b619 + 8316*b491*b620 + 5040*b491*b621 + 336*b491*b622 + 
    2940*b491*b623 + 7626*b491*b624 + 14694*b491*b625 + 744*b491*b626 + 2788*
    b492*b509 + 204*b492*b510 + 374*b492*b511 + 2244*b492*b512 + 2584*b492*b513
     + 1904*b492*b515 + 68*b492*b516 + 2040*b492*b517 + 2448*b492*b518 + 2516*
    b492*b519 + 1564*b492*b520 + 442*b492*b521 + 680*b492*b522 + 2924*b492*b523
     + 2618*b492*b524 + 510*b492*b525 + 3026*b492*b526 + 1632*b492*b527 + 476*
    b492*b528 + 3026*b492*b529 + 1496*b492*b530 + 1008*b492*b531 + 672*b492*
    b532 + 9912*b492*b533 + 552*b492*b534 + 368*b492*b535 + 5428*b492*b536 + 
    840*b492*b537 + 560*b492*b538 + 8260*b492*b539 + 468*b492*b540 + 312*b492*
    b541 + 4602*b492*b542 + 804*b492*b543 + 536*b492*b544 + 7906*b492*b545 + 
    576*b492*b546 + 384*b492*b547 + 5664*b492*b548 + 108*b492*b549 + 72*b492*
    b550 + 1062*b492*b551 + 492*b492*b552 + 328*b492*b553 + 4838*b492*b554 + 
    564*b492*b555 + 376*b492*b556 + 5546*b492*b557 + 240*b492*b558 + 160*b492*
    b559 + 2360*b492*b560 + 336*b492*b561 + 224*b492*b562 + 3304*b492*b563 + 
    444*b492*b564 + 296*b492*b565 + 4366*b492*b566 + 120*b492*b567 + 80*b492*
    b568 + 1180*b492*b569 + 504*b492*b570 + 336*b492*b571 + 4956*b492*b572 + 
    420*b492*b573 + 280*b492*b574 + 4130*b492*b575 + 660*b492*b576 + 440*b492*
    b577 + 6490*b492*b578 + 24*b492*b579 + 16*b492*b580 + 236*b492*b581 + 576*
    b492*b582 + 384*b492*b583 + 5664*b492*b584 + 36*b492*b585 + 24*b492*b586 + 
    354*b492*b587 + 972*b492*b588 + 648*b492*b589 + 9558*b492*b590 + 504*b492*
    b591 + 336*b492*b592 + 4956*b492*b593 + 204*b492*b597 + 136*b492*b598 + 
    2006*b492*b599 + 504*b492*b600 + 924*b492*b601 + 5544*b492*b602 + 6384*b492
    *b603 + 4704*b492*b605 + 168*b492*b606 + 5040*b492*b607 + 6048*b492*b608 + 
    6216*b492*b609 + 3864*b492*b610 + 1092*b492*b611 + 1680*b492*b612 + 7224*
    b492*b613 + 336*b492*b614 + 6468*b492*b615 + 1260*b492*b616 + 7476*b492*
    b617 + 4032*b492*b618 + 1176*b492*b619 + 7476*b492*b620 + 3696*b492*b621 + 
    4956*b492*b622 + 6888*b492*b623 + 1116*b492*b624 + 744*b492*b625 + 10974*
    b492*b626 + 884*b493*b509 + 2414*b493*b510 + 1190*b493*b511 + 1394*b493*
    b512 + 3094*b493*b513 + 1904*b493*b514 + 748*b493*b516 + 1938*b493*b517 + 
    2142*b493*b518 + 204*b493*b519 + 2108*b493*b521 + 1394*b493*b522 + 2108*
    b493*b523 + 850*b493*b524 + 2550*b493*b525 + 2584*b493*b526 + 1360*b493*
    b527 + 2244*b493*b528 + 1972*b493*b529 + 1020*b493*b530 + 4200*b493*b531 + 
    7728*b493*b532 + 11424*b493*b533 + 2300*b493*b534 + 4232*b493*b535 + 6256*
    b493*b536 + 3500*b493*b537 + 6440*b493*b538 + 9520*b493*b539 + 1950*b493*
    b540 + 3588*b493*b541 + 5304*b493*b542 + 3350*b493*b543 + 6164*b493*b544 + 
    9112*b493*b545 + 2400*b493*b546 + 4416*b493*b547 + 6528*b493*b548 + 450*
    b493*b549 + 828*b493*b550 + 1224*b493*b551 + 2050*b493*b552 + 3772*b493*
    b553 + 5576*b493*b554 + 2350*b493*b555 + 4324*b493*b556 + 6392*b493*b557 + 
    1000*b493*b558 + 1840*b493*b559 + 2720*b493*b560 + 1400*b493*b561 + 2576*
    b493*b562 + 3808*b493*b563 + 1850*b493*b564 + 3404*b493*b565 + 5032*b493*
    b566 + 500*b493*b567 + 920*b493*b568 + 1360*b493*b569 + 2100*b493*b570 + 
    3864*b493*b571 + 5712*b493*b572 + 1750*b493*b573 + 3220*b493*b574 + 4760*
    b493*b575 + 2750*b493*b576 + 5060*b493*b577 + 7480*b493*b578 + 100*b493*
    b579 + 184*b493*b580 + 272*b493*b581 + 2400*b493*b582 + 4416*b493*b583 + 
    6528*b493*b584 + 150*b493*b585 + 276*b493*b586 + 408*b493*b587 + 4050*b493*
    b588 + 7452*b493*b589 + 11016*b493*b590 + 2100*b493*b591 + 3864*b493*b592
     + 5712*b493*b593 + 850*b493*b597 + 1564*b493*b598 + 2312*b493*b599 + 5964*
    b493*b600 + 2940*b493*b601 + 3444*b493*b602 + 7644*b493*b603 + 4704*b493*
    b604 + 1848*b493*b606 + 4788*b493*b607 + 5292*b493*b608 + 504*b493*b609 + 
    5208*b493*b611 + 3444*b493*b612 + 5208*b493*b613 + 3864*b493*b614 + 2100*
    b493*b615 + 6300*b493*b616 + 6384*b493*b617 + 3360*b493*b618 + 5544*b493*
    b619 + 4872*b493*b620 + 2520*b493*b621 + 5712*b493*b622 + 2184*b493*b623 + 
    4650*b493*b624 + 8556*b493*b625 + 12648*b493*b626 + 2346*b494*b509 + 272*
    b494*b510 + 374*b494*b511 + 510*b494*b512 + 442*b494*b513 + 68*b494*b514 + 
    748*b494*b515 + 2652*b494*b517 + 3094*b494*b518 + 442*b494*b519 + 2006*b494
    *b520 + 1666*b494*b521 + 2890*b494*b522 + 2856*b494*b523 + 1292*b494*b524
     + 1394*b494*b525 + 1904*b494*b526 + 1326*b494*b527 + 1802*b494*b528 + 2618
    *b494*b529 + 1700*b494*b530 + 1680*b494*b531 + 1344*b494*b532 + 5040*b494*
    b533 + 920*b494*b534 + 736*b494*b535 + 2760*b494*b536 + 1400*b494*b537 + 
    1120*b494*b538 + 4200*b494*b539 + 780*b494*b540 + 624*b494*b541 + 2340*b494
    *b542 + 1340*b494*b543 + 1072*b494*b544 + 4020*b494*b545 + 960*b494*b546 + 
    768*b494*b547 + 2880*b494*b548 + 180*b494*b549 + 144*b494*b550 + 540*b494*
    b551 + 820*b494*b552 + 656*b494*b553 + 2460*b494*b554 + 940*b494*b555 + 752
    *b494*b556 + 2820*b494*b557 + 400*b494*b558 + 320*b494*b559 + 1200*b494*
    b560 + 560*b494*b561 + 448*b494*b562 + 1680*b494*b563 + 740*b494*b564 + 592
    *b494*b565 + 2220*b494*b566 + 200*b494*b567 + 160*b494*b568 + 600*b494*b569
     + 840*b494*b570 + 672*b494*b571 + 2520*b494*b572 + 700*b494*b573 + 560*
    b494*b574 + 2100*b494*b575 + 1100*b494*b576 + 880*b494*b577 + 3300*b494*
    b578 + 40*b494*b579 + 32*b494*b580 + 120*b494*b581 + 960*b494*b582 + 768*
    b494*b583 + 2880*b494*b584 + 60*b494*b585 + 48*b494*b586 + 180*b494*b587 + 
    1620*b494*b588 + 1296*b494*b589 + 4860*b494*b590 + 840*b494*b591 + 672*b494
    *b592 + 2520*b494*b593 + 340*b494*b597 + 272*b494*b598 + 1020*b494*b599 + 
    672*b494*b600 + 924*b494*b601 + 1260*b494*b602 + 1092*b494*b603 + 168*b494*
    b604 + 1848*b494*b605 + 6552*b494*b607 + 7644*b494*b608 + 1092*b494*b609 + 
    4956*b494*b610 + 4116*b494*b611 + 7140*b494*b612 + 7056*b494*b613 + 672*
    b494*b614 + 3192*b494*b615 + 3444*b494*b616 + 4704*b494*b617 + 3276*b494*
    b618 + 4452*b494*b619 + 6468*b494*b620 + 4200*b494*b621 + 2520*b494*b622 + 
    5796*b494*b623 + 1860*b494*b624 + 1488*b494*b625 + 5580*b494*b626 + 1904*
    b495*b509 + 2618*b495*b510 + 680*b495*b511 + 2822*b495*b512 + 986*b495*b513
     + 2040*b495*b514 + 1938*b495*b515 + 2652*b495*b516 + 1972*b495*b518 + 1870
    *b495*b519 + 646*b495*b520 + 2890*b495*b521 + 1768*b495*b522 + 1156*b495*
    b523 + 1360*b495*b524 + 2346*b495*b525 + 408*b495*b526 + 2890*b495*b527 + 
    2448*b495*b528 + 238*b495*b529 + 1666*b495*b530 + 672*b495*b531 + 8904*b495
    *b532 + 7728*b495*b533 + 368*b495*b534 + 4876*b495*b535 + 4232*b495*b536 + 
    560*b495*b537 + 7420*b495*b538 + 6440*b495*b539 + 312*b495*b540 + 4134*b495
    *b541 + 3588*b495*b542 + 536*b495*b543 + 7102*b495*b544 + 6164*b495*b545 + 
    384*b495*b546 + 5088*b495*b547 + 4416*b495*b548 + 72*b495*b549 + 954*b495*
    b550 + 828*b495*b551 + 328*b495*b552 + 4346*b495*b553 + 3772*b495*b554 + 
    376*b495*b555 + 4982*b495*b556 + 4324*b495*b557 + 160*b495*b558 + 2120*b495
    *b559 + 1840*b495*b560 + 224*b495*b561 + 2968*b495*b562 + 2576*b495*b563 + 
    296*b495*b564 + 3922*b495*b565 + 3404*b495*b566 + 80*b495*b567 + 1060*b495*
    b568 + 920*b495*b569 + 336*b495*b570 + 4452*b495*b571 + 3864*b495*b572 + 
    280*b495*b573 + 3710*b495*b574 + 3220*b495*b575 + 440*b495*b576 + 5830*b495
    *b577 + 5060*b495*b578 + 16*b495*b579 + 212*b495*b580 + 184*b495*b581 + 384
    *b495*b582 + 5088*b495*b583 + 4416*b495*b584 + 24*b495*b585 + 318*b495*b586
     + 276*b495*b587 + 648*b495*b588 + 8586*b495*b589 + 7452*b495*b590 + 336*
    b495*b591 + 4452*b495*b592 + 3864*b495*b593 + 136*b495*b597 + 1802*b495*
    b598 + 1564*b495*b599 + 6468*b495*b600 + 1680*b495*b601 + 6972*b495*b602 + 
    2436*b495*b603 + 5040*b495*b604 + 4788*b495*b605 + 6552*b495*b606 + 4872*
    b495*b608 + 4620*b495*b609 + 1596*b495*b610 + 7140*b495*b611 + 4368*b495*
    b612 + 2856*b495*b613 + 4452*b495*b614 + 3360*b495*b615 + 5796*b495*b616 + 
    1008*b495*b617 + 7140*b495*b618 + 6048*b495*b619 + 588*b495*b620 + 4116*
    b495*b621 + 3864*b495*b622 + 4704*b495*b623 + 744*b495*b624 + 9858*b495*
    b625 + 8556*b495*b626 + 2924*b496*b509 + 2516*b496*b510 + 714*b496*b511 + 
    3264*b496*b512 + 374*b496*b513 + 2448*b496*b514 + 2142*b496*b515 + 3094*
    b496*b516 + 1972*b496*b517 + 2958*b496*b519 + 1972*b496*b520 + 578*b496*
    b521 + 2312*b496*b522 + 918*b496*b523 + 204*b496*b524 + 2278*b496*b525 + 
    884*b496*b526 + 2788*b496*b527 + 1496*b496*b528 + 1190*b496*b529 + 102*b496
    *b530 + 10584*b496*b531 + 3528*b496*b532 + 10416*b496*b533 + 5796*b496*b534
     + 1932*b496*b535 + 5704*b496*b536 + 8820*b496*b537 + 2940*b496*b538 + 8680
    *b496*b539 + 4914*b496*b540 + 1638*b496*b541 + 4836*b496*b542 + 8442*b496*
    b543 + 2814*b496*b544 + 8308*b496*b545 + 6048*b496*b546 + 2016*b496*b547 + 
    5952*b496*b548 + 1134*b496*b549 + 378*b496*b550 + 1116*b496*b551 + 5166*
    b496*b552 + 1722*b496*b553 + 5084*b496*b554 + 5922*b496*b555 + 1974*b496*
    b556 + 5828*b496*b557 + 2520*b496*b558 + 840*b496*b559 + 2480*b496*b560 + 
    3528*b496*b561 + 1176*b496*b562 + 3472*b496*b563 + 4662*b496*b564 + 1554*
    b496*b565 + 4588*b496*b566 + 1260*b496*b567 + 420*b496*b568 + 1240*b496*
    b569 + 5292*b496*b570 + 1764*b496*b571 + 5208*b496*b572 + 4410*b496*b573 + 
    1470*b496*b574 + 4340*b496*b575 + 6930*b496*b576 + 2310*b496*b577 + 6820*
    b496*b578 + 252*b496*b579 + 84*b496*b580 + 248*b496*b581 + 6048*b496*b582
     + 2016*b496*b583 + 5952*b496*b584 + 378*b496*b585 + 126*b496*b586 + 372*
    b496*b587 + 10206*b496*b588 + 3402*b496*b589 + 10044*b496*b590 + 5292*b496*
    b591 + 1764*b496*b592 + 5208*b496*b593 + 2142*b496*b597 + 714*b496*b598 + 
    2108*b496*b599 + 6216*b496*b600 + 1764*b496*b601 + 8064*b496*b602 + 924*
    b496*b603 + 6048*b496*b604 + 5292*b496*b605 + 7644*b496*b606 + 4872*b496*
    b607 + 7308*b496*b609 + 4872*b496*b610 + 1428*b496*b611 + 5712*b496*b612 + 
    2268*b496*b613 + 1764*b496*b614 + 504*b496*b615 + 5628*b496*b616 + 2184*
    b496*b617 + 6888*b496*b618 + 3696*b496*b619 + 2940*b496*b620 + 252*b496*
    b621 + 5208*b496*b622 + 7224*b496*b623 + 11718*b496*b624 + 3906*b496*b625
     + 11532*b496*b626 + 1530*b497*b509 + 1020*b497*b510 + 2074*b497*b511 + 
    2516*b497*b512 + 2618*b497*b513 + 2516*b497*b514 + 204*b497*b515 + 442*b497
    *b516 + 1870*b497*b517 + 2958*b497*b518 + 272*b497*b520 + 1734*b497*b521 + 
    34*b497*b522 + 3094*b497*b523 + 2958*b497*b524 + 2448*b497*b525 + 1530*b497
    *b526 + 3264*b497*b527 + 238*b497*b528 + 2958*b497*b529 + 2312*b497*b530 + 
    1008*b497*b531 + 6552*b497*b532 + 5544*b497*b533 + 552*b497*b534 + 3588*
    b497*b535 + 3036*b497*b536 + 840*b497*b537 + 5460*b497*b538 + 4620*b497*
    b539 + 468*b497*b540 + 3042*b497*b541 + 2574*b497*b542 + 804*b497*b543 + 
    5226*b497*b544 + 4422*b497*b545 + 576*b497*b546 + 3744*b497*b547 + 3168*
    b497*b548 + 108*b497*b549 + 702*b497*b550 + 594*b497*b551 + 492*b497*b552
     + 3198*b497*b553 + 2706*b497*b554 + 564*b497*b555 + 3666*b497*b556 + 3102*
    b497*b557 + 240*b497*b558 + 1560*b497*b559 + 1320*b497*b560 + 336*b497*b561
     + 2184*b497*b562 + 1848*b497*b563 + 444*b497*b564 + 2886*b497*b565 + 2442*
    b497*b566 + 120*b497*b567 + 780*b497*b568 + 660*b497*b569 + 504*b497*b570
     + 3276*b497*b571 + 2772*b497*b572 + 420*b497*b573 + 2730*b497*b574 + 2310*
    b497*b575 + 660*b497*b576 + 4290*b497*b577 + 3630*b497*b578 + 24*b497*b579
     + 156*b497*b580 + 132*b497*b581 + 576*b497*b582 + 3744*b497*b583 + 3168*
    b497*b584 + 36*b497*b585 + 234*b497*b586 + 198*b497*b587 + 972*b497*b588 + 
    6318*b497*b589 + 5346*b497*b590 + 504*b497*b591 + 3276*b497*b592 + 2772*
    b497*b593 + 204*b497*b597 + 1326*b497*b598 + 1122*b497*b599 + 2520*b497*
    b600 + 5124*b497*b601 + 6216*b497*b602 + 6468*b497*b603 + 6216*b497*b604 + 
    504*b497*b605 + 1092*b497*b606 + 4620*b497*b607 + 7308*b497*b608 + 672*b497
    *b610 + 4284*b497*b611 + 84*b497*b612 + 7644*b497*b613 + 3276*b497*b614 + 
    7308*b497*b615 + 6048*b497*b616 + 3780*b497*b617 + 8064*b497*b618 + 588*
    b497*b619 + 7308*b497*b620 + 5712*b497*b621 + 2772*b497*b622 + 3780*b497*
    b623 + 1116*b497*b624 + 7254*b497*b625 + 6138*b497*b626 + 3094*b498*b509 + 
    3026*b498*b510 + 2720*b498*b511 + 1530*b498*b512 + 1088*b498*b513 + 1564*
    b498*b514 + 2006*b498*b516 + 646*b498*b517 + 1972*b498*b518 + 272*b498*b519
     + 102*b498*b521 + 714*b498*b522 + 3060*b498*b523 + 1598*b498*b524 + 850*
    b498*b525 + 1020*b498*b526 + 1462*b498*b527 + 3298*b498*b528 + 1122*b498*
    b529 + 1190*b498*b530 + 7392*b498*b531 + 7560*b498*b532 + 10248*b498*b533
     + 4048*b498*b534 + 4140*b498*b535 + 5612*b498*b536 + 6160*b498*b537 + 6300
    *b498*b538 + 8540*b498*b539 + 3432*b498*b540 + 3510*b498*b541 + 4758*b498*
    b542 + 5896*b498*b543 + 6030*b498*b544 + 8174*b498*b545 + 4224*b498*b546 + 
    4320*b498*b547 + 5856*b498*b548 + 792*b498*b549 + 810*b498*b550 + 1098*b498
    *b551 + 3608*b498*b552 + 3690*b498*b553 + 5002*b498*b554 + 4136*b498*b555
     + 4230*b498*b556 + 5734*b498*b557 + 1760*b498*b558 + 1800*b498*b559 + 2440
    *b498*b560 + 2464*b498*b561 + 2520*b498*b562 + 3416*b498*b563 + 3256*b498*
    b564 + 3330*b498*b565 + 4514*b498*b566 + 880*b498*b567 + 900*b498*b568 + 
    1220*b498*b569 + 3696*b498*b570 + 3780*b498*b571 + 5124*b498*b572 + 3080*
    b498*b573 + 3150*b498*b574 + 4270*b498*b575 + 4840*b498*b576 + 4950*b498*
    b577 + 6710*b498*b578 + 176*b498*b579 + 180*b498*b580 + 244*b498*b581 + 
    4224*b498*b582 + 4320*b498*b583 + 5856*b498*b584 + 264*b498*b585 + 270*b498
    *b586 + 366*b498*b587 + 7128*b498*b588 + 7290*b498*b589 + 9882*b498*b590 + 
    3696*b498*b591 + 3780*b498*b592 + 5124*b498*b593 + 1496*b498*b597 + 1530*
    b498*b598 + 2074*b498*b599 + 7476*b498*b600 + 6720*b498*b601 + 3780*b498*
    b602 + 2688*b498*b603 + 3864*b498*b604 + 4956*b498*b606 + 1596*b498*b607 + 
    4872*b498*b608 + 672*b498*b609 + 252*b498*b611 + 1764*b498*b612 + 7560*b498
    *b613 + 3780*b498*b614 + 3948*b498*b615 + 2100*b498*b616 + 2520*b498*b617
     + 3612*b498*b618 + 8148*b498*b619 + 2772*b498*b620 + 2940*b498*b621 + 5124
    *b498*b622 + 7644*b498*b623 + 8184*b498*b624 + 8370*b498*b625 + 11346*b498*
    b626 + 2006*b499*b509 + 2584*b499*b510 + 1972*b499*b511 + 2210*b499*b512 + 
    2958*b499*b513 + 442*b499*b514 + 2108*b499*b515 + 1666*b499*b516 + 2890*
    b499*b517 + 578*b499*b518 + 1734*b499*b519 + 102*b499*b520 + 1428*b499*b522
     + 1224*b499*b523 + 238*b499*b524 + 2856*b499*b525 + 204*b499*b526 + 1632*
    b499*b529 + 2108*b499*b530 + 6720*b499*b531 + 7224*b499*b532 + 9912*b499*
    b533 + 3680*b499*b534 + 3956*b499*b535 + 5428*b499*b536 + 5600*b499*b537 + 
    6020*b499*b538 + 8260*b499*b539 + 3120*b499*b540 + 3354*b499*b541 + 4602*
    b499*b542 + 5360*b499*b543 + 5762*b499*b544 + 7906*b499*b545 + 3840*b499*
    b546 + 4128*b499*b547 + 5664*b499*b548 + 720*b499*b549 + 774*b499*b550 + 
    1062*b499*b551 + 3280*b499*b552 + 3526*b499*b553 + 4838*b499*b554 + 3760*
    b499*b555 + 4042*b499*b556 + 5546*b499*b557 + 1600*b499*b558 + 1720*b499*
    b559 + 2360*b499*b560 + 2240*b499*b561 + 2408*b499*b562 + 3304*b499*b563 + 
    2960*b499*b564 + 3182*b499*b565 + 4366*b499*b566 + 800*b499*b567 + 860*b499
    *b568 + 1180*b499*b569 + 3360*b499*b570 + 3612*b499*b571 + 4956*b499*b572
     + 2800*b499*b573 + 3010*b499*b574 + 4130*b499*b575 + 4400*b499*b576 + 4730
    *b499*b577 + 6490*b499*b578 + 160*b499*b579 + 172*b499*b580 + 236*b499*b581
     + 3840*b499*b582 + 4128*b499*b583 + 5664*b499*b584 + 240*b499*b585 + 258*
    b499*b586 + 354*b499*b587 + 6480*b499*b588 + 6966*b499*b589 + 9558*b499*
    b590 + 3360*b499*b591 + 3612*b499*b592 + 4956*b499*b593 + 1360*b499*b597 + 
    1462*b499*b598 + 2006*b499*b599 + 6384*b499*b600 + 4872*b499*b601 + 5460*
    b499*b602 + 7308*b499*b603 + 1092*b499*b604 + 5208*b499*b605 + 4116*b499*
    b606 + 7140*b499*b607 + 1428*b499*b608 + 4284*b499*b609 + 252*b499*b610 + 
    3528*b499*b612 + 3024*b499*b613 + 3612*b499*b614 + 588*b499*b615 + 7056*
    b499*b616 + 504*b499*b617 + 4032*b499*b620 + 5208*b499*b621 + 4956*b499*
    b622 + 4956*b499*b623 + 7440*b499*b624 + 7998*b499*b625 + 10974*b499*b626
     + 612*b500*b509 + 2584*b500*b510 + 714*b500*b511 + 1360*b500*b512 + 2278*
    b500*b513 + 680*b500*b514 + 1394*b500*b515 + 2890*b500*b516 + 1768*b500*
    b517 + 2312*b500*b518 + 34*b500*b519 + 714*b500*b520 + 1428*b500*b521 + 986
    *b500*b523 + 2788*b500*b524 + 986*b500*b525 + 102*b500*b526 + 102*b500*b527
     + 1734*b500*b528 + 2278*b500*b529 + 1326*b500*b530 + 12600*b500*b531 + 
    15792*b500*b532 + 2520*b500*b533 + 6900*b500*b534 + 8648*b500*b535 + 1380*
    b500*b536 + 10500*b500*b537 + 13160*b500*b538 + 2100*b500*b539 + 5850*b500*
    b540 + 7332*b500*b541 + 1170*b500*b542 + 10050*b500*b543 + 12596*b500*b544
     + 2010*b500*b545 + 7200*b500*b546 + 9024*b500*b547 + 1440*b500*b548 + 1350
    *b500*b549 + 1692*b500*b550 + 270*b500*b551 + 6150*b500*b552 + 7708*b500*
    b553 + 1230*b500*b554 + 7050*b500*b555 + 8836*b500*b556 + 1410*b500*b557 + 
    3000*b500*b558 + 3760*b500*b559 + 600*b500*b560 + 4200*b500*b561 + 5264*
    b500*b562 + 840*b500*b563 + 5550*b500*b564 + 6956*b500*b565 + 1110*b500*
    b566 + 1500*b500*b567 + 1880*b500*b568 + 300*b500*b569 + 6300*b500*b570 + 
    7896*b500*b571 + 1260*b500*b572 + 5250*b500*b573 + 6580*b500*b574 + 1050*
    b500*b575 + 8250*b500*b576 + 10340*b500*b577 + 1650*b500*b578 + 300*b500*
    b579 + 376*b500*b580 + 60*b500*b581 + 7200*b500*b582 + 9024*b500*b583 + 
    1440*b500*b584 + 450*b500*b585 + 564*b500*b586 + 90*b500*b587 + 12150*b500*
    b588 + 15228*b500*b589 + 2430*b500*b590 + 6300*b500*b591 + 7896*b500*b592
     + 1260*b500*b593 + 2550*b500*b597 + 3196*b500*b598 + 510*b500*b599 + 6384*
    b500*b600 + 1764*b500*b601 + 3360*b500*b602 + 5628*b500*b603 + 1680*b500*
    b604 + 3444*b500*b605 + 7140*b500*b606 + 4368*b500*b607 + 5712*b500*b608 + 
    84*b500*b609 + 1764*b500*b610 + 3528*b500*b611 + 2436*b500*b613 + 7896*b500
    *b614 + 6888*b500*b615 + 2436*b500*b616 + 252*b500*b617 + 252*b500*b618 + 
    4284*b500*b619 + 5628*b500*b620 + 3276*b500*b621 + 1260*b500*b622 + 1512*
    b500*b623 + 13950*b500*b624 + 17484*b500*b625 + 2790*b500*b626 + 2584*b501*
    b509 + 1360*b501*b510 + 2584*b501*b511 + 1836*b501*b512 + 3196*b501*b513 + 
    2924*b501*b514 + 2108*b501*b515 + 2856*b501*b516 + 1156*b501*b517 + 918*
    b501*b518 + 3094*b501*b519 + 3060*b501*b520 + 1224*b501*b521 + 986*b501*
    b522 + 1428*b501*b524 + 782*b501*b525 + 2108*b501*b526 + 2108*b501*b527 + 
    952*b501*b528 + 2584*b501*b529 + 2244*b501*b530 + 13272*b501*b531 + 11088*
    b501*b532 + 13776*b501*b533 + 7268*b501*b534 + 6072*b501*b535 + 7544*b501*
    b536 + 11060*b501*b537 + 9240*b501*b538 + 11480*b501*b539 + 6162*b501*b540
     + 5148*b501*b541 + 6396*b501*b542 + 10586*b501*b543 + 8844*b501*b544 + 
    10988*b501*b545 + 7584*b501*b546 + 6336*b501*b547 + 7872*b501*b548 + 1422*
    b501*b549 + 1188*b501*b550 + 1476*b501*b551 + 6478*b501*b552 + 5412*b501*
    b553 + 6724*b501*b554 + 7426*b501*b555 + 6204*b501*b556 + 7708*b501*b557 + 
    3160*b501*b558 + 2640*b501*b559 + 3280*b501*b560 + 4424*b501*b561 + 3696*
    b501*b562 + 4592*b501*b563 + 5846*b501*b564 + 4884*b501*b565 + 6068*b501*
    b566 + 1580*b501*b567 + 1320*b501*b568 + 1640*b501*b569 + 6636*b501*b570 + 
    5544*b501*b571 + 6888*b501*b572 + 5530*b501*b573 + 4620*b501*b574 + 5740*
    b501*b575 + 8690*b501*b576 + 7260*b501*b577 + 9020*b501*b578 + 316*b501*
    b579 + 264*b501*b580 + 328*b501*b581 + 7584*b501*b582 + 6336*b501*b583 + 
    7872*b501*b584 + 474*b501*b585 + 396*b501*b586 + 492*b501*b587 + 12798*b501
    *b588 + 10692*b501*b589 + 13284*b501*b590 + 6636*b501*b591 + 5544*b501*b592
     + 6888*b501*b593 + 2686*b501*b597 + 2244*b501*b598 + 2788*b501*b599 + 3360
    *b501*b600 + 6384*b501*b601 + 4536*b501*b602 + 7896*b501*b603 + 7224*b501*
    b604 + 5208*b501*b605 + 7056*b501*b606 + 2856*b501*b607 + 2268*b501*b608 + 
    7644*b501*b609 + 7560*b501*b610 + 3024*b501*b611 + 2436*b501*b612 + 5544*
    b501*b614 + 3528*b501*b615 + 1932*b501*b616 + 5208*b501*b617 + 5208*b501*
    b618 + 2352*b501*b619 + 6384*b501*b620 + 5544*b501*b621 + 6888*b501*b622 + 
    6384*b501*b623 + 14694*b501*b624 + 12276*b501*b625 + 15252*b501*b626 + 612*
    b502*b509 + 1904*b502*b510 + 1496*b502*b511 + 476*b502*b512 + 68*b502*b513
     + 2618*b502*b514 + 850*b502*b515 + 1292*b502*b516 + 1360*b502*b517 + 204*
    b502*b518 + 2958*b502*b519 + 1598*b502*b520 + 238*b502*b521 + 2788*b502*
    b522 + 1428*b502*b523 + 2924*b502*b525 + 2040*b502*b526 + 2108*b502*b527 + 
    2108*b502*b528 + 2822*b502*b529 + 3094*b502*b530 + 14952*b502*b531 + 16464*
    b502*b532 + 9576*b502*b533 + 8188*b502*b534 + 9016*b502*b535 + 5244*b502*
    b536 + 12460*b502*b537 + 13720*b502*b538 + 7980*b502*b539 + 6942*b502*b540
     + 7644*b502*b541 + 4446*b502*b542 + 11926*b502*b543 + 13132*b502*b544 + 
    7638*b502*b545 + 8544*b502*b546 + 9408*b502*b547 + 5472*b502*b548 + 1602*
    b502*b549 + 1764*b502*b550 + 1026*b502*b551 + 7298*b502*b552 + 8036*b502*
    b553 + 4674*b502*b554 + 8366*b502*b555 + 9212*b502*b556 + 5358*b502*b557 + 
    3560*b502*b558 + 3920*b502*b559 + 2280*b502*b560 + 4984*b502*b561 + 5488*
    b502*b562 + 3192*b502*b563 + 6586*b502*b564 + 7252*b502*b565 + 4218*b502*
    b566 + 1780*b502*b567 + 1960*b502*b568 + 1140*b502*b569 + 7476*b502*b570 + 
    8232*b502*b571 + 4788*b502*b572 + 6230*b502*b573 + 6860*b502*b574 + 3990*
    b502*b575 + 9790*b502*b576 + 10780*b502*b577 + 6270*b502*b578 + 356*b502*
    b579 + 392*b502*b580 + 228*b502*b581 + 8544*b502*b582 + 9408*b502*b583 + 
    5472*b502*b584 + 534*b502*b585 + 588*b502*b586 + 342*b502*b587 + 14418*b502
    *b588 + 15876*b502*b589 + 9234*b502*b590 + 7476*b502*b591 + 8232*b502*b592
     + 4788*b502*b593 + 3026*b502*b597 + 3332*b502*b598 + 1938*b502*b599 + 4704
    *b502*b600 + 3696*b502*b601 + 1176*b502*b602 + 168*b502*b603 + 6468*b502*
    b604 + 2100*b502*b605 + 3192*b502*b606 + 3360*b502*b607 + 504*b502*b608 + 
    7308*b502*b609 + 3948*b502*b610 + 588*b502*b611 + 6888*b502*b612 + 3528*
    b502*b613 + 8232*b502*b614 + 7224*b502*b616 + 5040*b502*b617 + 5208*b502*
    b618 + 5208*b502*b619 + 6972*b502*b620 + 7644*b502*b621 + 4788*b502*b622 + 
    1512*b502*b623 + 16554*b502*b624 + 18228*b502*b625 + 10602*b502*b626 + 1938
    *b503*b509 + 34*b503*b510 + 2890*b503*b511 + 2414*b503*b512 + 340*b503*b513
     + 510*b503*b514 + 2550*b503*b515 + 1394*b503*b516 + 2346*b503*b517 + 2278*
    b503*b518 + 2448*b503*b519 + 850*b503*b520 + 2856*b503*b521 + 986*b503*b522
     + 782*b503*b523 + 2924*b503*b524 + 2108*b503*b526 + 1224*b503*b527 + 68*
    b503*b528 + 68*b503*b529 + 1462*b503*b530 + 5880*b503*b531 + 5880*b503*b532
     + 10920*b503*b533 + 3220*b503*b534 + 3220*b503*b535 + 5980*b503*b536 + 
    4900*b503*b537 + 4900*b503*b538 + 9100*b503*b539 + 2730*b503*b540 + 2730*
    b503*b541 + 5070*b503*b542 + 4690*b503*b543 + 4690*b503*b544 + 8710*b503*
    b545 + 3360*b503*b546 + 3360*b503*b547 + 6240*b503*b548 + 630*b503*b549 + 
    630*b503*b550 + 1170*b503*b551 + 2870*b503*b552 + 2870*b503*b553 + 5330*
    b503*b554 + 3290*b503*b555 + 3290*b503*b556 + 6110*b503*b557 + 1400*b503*
    b558 + 1400*b503*b559 + 2600*b503*b560 + 1960*b503*b561 + 1960*b503*b562 + 
    3640*b503*b563 + 2590*b503*b564 + 2590*b503*b565 + 4810*b503*b566 + 700*
    b503*b567 + 700*b503*b568 + 1300*b503*b569 + 2940*b503*b570 + 2940*b503*
    b571 + 5460*b503*b572 + 2450*b503*b573 + 2450*b503*b574 + 4550*b503*b575 + 
    3850*b503*b576 + 3850*b503*b577 + 7150*b503*b578 + 140*b503*b579 + 140*b503
    *b580 + 260*b503*b581 + 3360*b503*b582 + 3360*b503*b583 + 6240*b503*b584 + 
    210*b503*b585 + 210*b503*b586 + 390*b503*b587 + 5670*b503*b588 + 5670*b503*
    b589 + 10530*b503*b590 + 2940*b503*b591 + 2940*b503*b592 + 5460*b503*b593
     + 1190*b503*b597 + 1190*b503*b598 + 2210*b503*b599 + 84*b503*b600 + 7140*
    b503*b601 + 5964*b503*b602 + 840*b503*b603 + 1260*b503*b604 + 6300*b503*
    b605 + 3444*b503*b606 + 5796*b503*b607 + 5628*b503*b608 + 6048*b503*b609 + 
    2100*b503*b610 + 7056*b503*b611 + 2436*b503*b612 + 1932*b503*b613 + 2940*
    b503*b614 + 7224*b503*b615 + 5208*b503*b617 + 3024*b503*b618 + 168*b503*
    b619 + 168*b503*b620 + 3612*b503*b621 + 5460*b503*b622 + 4788*b503*b623 + 
    6510*b503*b624 + 6510*b503*b625 + 12090*b503*b626 + 1224*b504*b509 + 1700*
    b504*b510 + 3196*b504*b511 + 2618*b504*b512 + 3366*b504*b513 + 3026*b504*
    b514 + 2584*b504*b515 + 1904*b504*b516 + 408*b504*b517 + 884*b504*b518 + 
    1530*b504*b519 + 1020*b504*b520 + 204*b504*b521 + 102*b504*b522 + 2108*b504
    *b523 + 2040*b504*b524 + 2108*b504*b525 + 1258*b504*b527 + 1666*b504*b528
     + 2074*b504*b529 + 170*b504*b530 + 1512*b504*b531 + 2520*b504*b532 + 5712*
    b504*b533 + 828*b504*b534 + 1380*b504*b535 + 3128*b504*b536 + 1260*b504*
    b537 + 2100*b504*b538 + 4760*b504*b539 + 702*b504*b540 + 1170*b504*b541 + 
    2652*b504*b542 + 1206*b504*b543 + 2010*b504*b544 + 4556*b504*b545 + 864*
    b504*b546 + 1440*b504*b547 + 3264*b504*b548 + 162*b504*b549 + 270*b504*b550
     + 612*b504*b551 + 738*b504*b552 + 1230*b504*b553 + 2788*b504*b554 + 846*
    b504*b555 + 1410*b504*b556 + 3196*b504*b557 + 360*b504*b558 + 600*b504*b559
     + 1360*b504*b560 + 504*b504*b561 + 840*b504*b562 + 1904*b504*b563 + 666*
    b504*b564 + 1110*b504*b565 + 2516*b504*b566 + 180*b504*b567 + 300*b504*b568
     + 680*b504*b569 + 756*b504*b570 + 1260*b504*b571 + 2856*b504*b572 + 630*
    b504*b573 + 1050*b504*b574 + 2380*b504*b575 + 990*b504*b576 + 1650*b504*
    b577 + 3740*b504*b578 + 36*b504*b579 + 60*b504*b580 + 136*b504*b581 + 864*
    b504*b582 + 1440*b504*b583 + 3264*b504*b584 + 54*b504*b585 + 90*b504*b586
     + 204*b504*b587 + 1458*b504*b588 + 2430*b504*b589 + 5508*b504*b590 + 756*
    b504*b591 + 1260*b504*b592 + 2856*b504*b593 + 306*b504*b597 + 510*b504*b598
     + 1156*b504*b599 + 4200*b504*b600 + 7896*b504*b601 + 6468*b504*b602 + 8316
    *b504*b603 + 7476*b504*b604 + 6384*b504*b605 + 4704*b504*b606 + 1008*b504*
    b607 + 2184*b504*b608 + 3780*b504*b609 + 2520*b504*b610 + 504*b504*b611 + 
    252*b504*b612 + 5208*b504*b613 + 1260*b504*b614 + 5040*b504*b615 + 5208*
    b504*b616 + 3108*b504*b618 + 4116*b504*b619 + 5124*b504*b620 + 420*b504*
    b621 + 2856*b504*b622 + 3024*b504*b623 + 1674*b504*b624 + 2790*b504*b625 + 
    6324*b504*b626 + 2074*b505*b509 + 136*b505*b510 + 3060*b505*b511 + 1224*
    b505*b512 + 1904*b505*b513 + 1632*b505*b514 + 1360*b505*b515 + 1326*b505*
    b516 + 2890*b505*b517 + 2788*b505*b518 + 3264*b505*b519 + 1462*b505*b520 + 
    102*b505*b522 + 2108*b505*b523 + 2108*b505*b524 + 1224*b505*b525 + 1258*
    b505*b526 + 1802*b505*b528 + 3264*b505*b529 + 2788*b505*b530 + 168*b505*
    b531 + 2856*b505*b532 + 8064*b505*b533 + 92*b505*b534 + 1564*b505*b535 + 
    4416*b505*b536 + 140*b505*b537 + 2380*b505*b538 + 6720*b505*b539 + 78*b505*
    b540 + 1326*b505*b541 + 3744*b505*b542 + 134*b505*b543 + 2278*b505*b544 + 
    6432*b505*b545 + 96*b505*b546 + 1632*b505*b547 + 4608*b505*b548 + 18*b505*
    b549 + 306*b505*b550 + 864*b505*b551 + 82*b505*b552 + 1394*b505*b553 + 3936
    *b505*b554 + 94*b505*b555 + 1598*b505*b556 + 4512*b505*b557 + 40*b505*b558
     + 680*b505*b559 + 1920*b505*b560 + 56*b505*b561 + 952*b505*b562 + 2688*
    b505*b563 + 74*b505*b564 + 1258*b505*b565 + 3552*b505*b566 + 20*b505*b567
     + 340*b505*b568 + 960*b505*b569 + 84*b505*b570 + 1428*b505*b571 + 4032*
    b505*b572 + 70*b505*b573 + 1190*b505*b574 + 3360*b505*b575 + 110*b505*b576
     + 1870*b505*b577 + 5280*b505*b578 + 4*b505*b579 + 68*b505*b580 + 192*b505*
    b581 + 96*b505*b582 + 1632*b505*b583 + 4608*b505*b584 + 6*b505*b585 + 102*
    b505*b586 + 288*b505*b587 + 162*b505*b588 + 2754*b505*b589 + 7776*b505*b590
     + 84*b505*b591 + 1428*b505*b592 + 4032*b505*b593 + 34*b505*b597 + 578*b505
    *b598 + 1632*b505*b599 + 336*b505*b600 + 7560*b505*b601 + 3024*b505*b602 + 
    4704*b505*b603 + 4032*b505*b604 + 3360*b505*b605 + 3276*b505*b606 + 7140*
    b505*b607 + 6888*b505*b608 + 8064*b505*b609 + 3612*b505*b610 + 252*b505*
    b612 + 5208*b505*b613 + 1428*b505*b614 + 5208*b505*b615 + 3024*b505*b616 + 
    3108*b505*b617 + 4452*b505*b619 + 8064*b505*b620 + 6888*b505*b621 + 4032*
    b505*b622 + 5124*b505*b623 + 186*b505*b624 + 3162*b505*b625 + 8928*b505*
    b626 + 1224*b506*b509 + 1224*b506*b510 + 1734*b506*b511 + 1802*b506*b512 + 
    2380*b506*b513 + 476*b506*b514 + 2244*b506*b515 + 1802*b506*b516 + 2448*
    b506*b517 + 1496*b506*b518 + 238*b506*b519 + 3298*b506*b520 + 1734*b506*
    b522 + 952*b506*b523 + 2108*b506*b524 + 68*b506*b525 + 1666*b506*b526 + 
    1802*b506*b527 + 952*b506*b529 + 1054*b506*b530 + 14280*b506*b531 + 12936*
    b506*b532 + 12600*b506*b533 + 7820*b506*b534 + 7084*b506*b535 + 6900*b506*
    b536 + 11900*b506*b537 + 10780*b506*b538 + 10500*b506*b539 + 6630*b506*b540
     + 6006*b506*b541 + 5850*b506*b542 + 11390*b506*b543 + 10318*b506*b544 + 
    10050*b506*b545 + 8160*b506*b546 + 7392*b506*b547 + 7200*b506*b548 + 1530*
    b506*b549 + 1386*b506*b550 + 1350*b506*b551 + 6970*b506*b552 + 6314*b506*
    b553 + 6150*b506*b554 + 7990*b506*b555 + 7238*b506*b556 + 7050*b506*b557 + 
    3400*b506*b558 + 3080*b506*b559 + 3000*b506*b560 + 4760*b506*b561 + 4312*
    b506*b562 + 4200*b506*b563 + 6290*b506*b564 + 5698*b506*b565 + 5550*b506*
    b566 + 1700*b506*b567 + 1540*b506*b568 + 1500*b506*b569 + 7140*b506*b570 + 
    6468*b506*b571 + 6300*b506*b572 + 5950*b506*b573 + 5390*b506*b574 + 5250*
    b506*b575 + 9350*b506*b576 + 8470*b506*b577 + 8250*b506*b578 + 340*b506*
    b579 + 308*b506*b580 + 300*b506*b581 + 8160*b506*b582 + 7392*b506*b583 + 
    7200*b506*b584 + 510*b506*b585 + 462*b506*b586 + 450*b506*b587 + 13770*b506
    *b588 + 12474*b506*b589 + 12150*b506*b590 + 7140*b506*b591 + 6468*b506*b592
     + 6300*b506*b593 + 2890*b506*b597 + 2618*b506*b598 + 2550*b506*b599 + 3024
    *b506*b600 + 4284*b506*b601 + 4452*b506*b602 + 5880*b506*b603 + 1176*b506*
    b604 + 5544*b506*b605 + 4452*b506*b606 + 6048*b506*b607 + 3696*b506*b608 + 
    588*b506*b609 + 8148*b506*b610 + 4284*b506*b612 + 2352*b506*b613 + 6468*
    b506*b614 + 5208*b506*b615 + 168*b506*b616 + 4116*b506*b617 + 4452*b506*
    b618 + 2352*b506*b620 + 2604*b506*b621 + 6300*b506*b622 + 3024*b506*b623 + 
    15810*b506*b624 + 14322*b506*b625 + 13950*b506*b626 + 714*b507*b509 + 918*
    b507*b510 + 102*b507*b511 + 1258*b507*b512 + 3366*b507*b513 + 3026*b507*
    b514 + 1972*b507*b515 + 2618*b507*b516 + 238*b507*b517 + 1190*b507*b518 + 
    2958*b507*b519 + 1122*b507*b520 + 1632*b507*b521 + 2278*b507*b522 + 2584*
    b507*b523 + 2822*b507*b524 + 68*b507*b525 + 2074*b507*b526 + 3264*b507*b527
     + 952*b507*b528 + 34*b507*b530 + 14112*b507*b531 + 7392*b507*b532 + 15960*
    b507*b533 + 7728*b507*b534 + 4048*b507*b535 + 8740*b507*b536 + 11760*b507*
    b537 + 6160*b507*b538 + 13300*b507*b539 + 6552*b507*b540 + 3432*b507*b541
     + 7410*b507*b542 + 11256*b507*b543 + 5896*b507*b544 + 12730*b507*b545 + 
    8064*b507*b546 + 4224*b507*b547 + 9120*b507*b548 + 1512*b507*b549 + 792*
    b507*b550 + 1710*b507*b551 + 6888*b507*b552 + 3608*b507*b553 + 7790*b507*
    b554 + 7896*b507*b555 + 4136*b507*b556 + 8930*b507*b557 + 3360*b507*b558 + 
    1760*b507*b559 + 3800*b507*b560 + 4704*b507*b561 + 2464*b507*b562 + 5320*
    b507*b563 + 6216*b507*b564 + 3256*b507*b565 + 7030*b507*b566 + 1680*b507*
    b567 + 880*b507*b568 + 1900*b507*b569 + 7056*b507*b570 + 3696*b507*b571 + 
    7980*b507*b572 + 5880*b507*b573 + 3080*b507*b574 + 6650*b507*b575 + 9240*
    b507*b576 + 4840*b507*b577 + 10450*b507*b578 + 336*b507*b579 + 176*b507*
    b580 + 380*b507*b581 + 8064*b507*b582 + 4224*b507*b583 + 9120*b507*b584 + 
    504*b507*b585 + 264*b507*b586 + 570*b507*b587 + 13608*b507*b588 + 7128*b507
    *b589 + 15390*b507*b590 + 7056*b507*b591 + 3696*b507*b592 + 7980*b507*b593
     + 2856*b507*b597 + 1496*b507*b598 + 3230*b507*b599 + 2268*b507*b600 + 252*
    b507*b601 + 3108*b507*b602 + 8316*b507*b603 + 7476*b507*b604 + 4872*b507*
    b605 + 6468*b507*b606 + 588*b507*b607 + 2940*b507*b608 + 7308*b507*b609 + 
    2772*b507*b610 + 4032*b507*b611 + 5628*b507*b612 + 6384*b507*b613 + 3696*
    b507*b614 + 6972*b507*b615 + 168*b507*b616 + 5124*b507*b617 + 8064*b507*
    b618 + 2352*b507*b619 + 84*b507*b621 + 7980*b507*b622 + 1764*b507*b623 + 
    15624*b507*b624 + 8184*b507*b625 + 17670*b507*b626 + 2414*b508*b509 + 2890*
    b508*b510 + 1632*b508*b511 + 884*b508*b512 + 2040*b508*b513 + 1496*b508*
    b514 + 1020*b508*b515 + 1700*b508*b516 + 1666*b508*b517 + 102*b508*b518 + 
    2312*b508*b519 + 1190*b508*b520 + 2108*b508*b521 + 1326*b508*b522 + 2244*
    b508*b523 + 3094*b508*b524 + 1462*b508*b525 + 170*b508*b526 + 2788*b508*
    b527 + 1054*b508*b528 + 34*b508*b529 + 2016*b508*b531 + 4368*b508*b532 + 
    1176*b508*b533 + 1104*b508*b534 + 2392*b508*b535 + 644*b508*b536 + 1680*
    b508*b537 + 3640*b508*b538 + 980*b508*b539 + 936*b508*b540 + 2028*b508*b541
     + 546*b508*b542 + 1608*b508*b543 + 3484*b508*b544 + 938*b508*b545 + 1152*
    b508*b546 + 2496*b508*b547 + 672*b508*b548 + 216*b508*b549 + 468*b508*b550
     + 126*b508*b551 + 984*b508*b552 + 2132*b508*b553 + 574*b508*b554 + 1128*
    b508*b555 + 2444*b508*b556 + 658*b508*b557 + 480*b508*b558 + 1040*b508*b559
     + 280*b508*b560 + 672*b508*b561 + 1456*b508*b562 + 392*b508*b563 + 888*
    b508*b564 + 1924*b508*b565 + 518*b508*b566 + 240*b508*b567 + 520*b508*b568
     + 140*b508*b569 + 1008*b508*b570 + 2184*b508*b571 + 588*b508*b572 + 840*
    b508*b573 + 1820*b508*b574 + 490*b508*b575 + 1320*b508*b576 + 2860*b508*
    b577 + 770*b508*b578 + 48*b508*b579 + 104*b508*b580 + 28*b508*b581 + 1152*
    b508*b582 + 2496*b508*b583 + 672*b508*b584 + 72*b508*b585 + 156*b508*b586
     + 42*b508*b587 + 1944*b508*b588 + 4212*b508*b589 + 1134*b508*b590 + 1008*
    b508*b591 + 2184*b508*b592 + 588*b508*b593 + 408*b508*b597 + 884*b508*b598
     + 238*b508*b599 + 7140*b508*b600 + 4032*b508*b601 + 2184*b508*b602 + 5040*
    b508*b603 + 3696*b508*b604 + 2520*b508*b605 + 4200*b508*b606 + 4116*b508*
    b607 + 252*b508*b608 + 5712*b508*b609 + 2940*b508*b610 + 5208*b508*b611 + 
    3276*b508*b612 + 5544*b508*b613 + 2184*b508*b614 + 7644*b508*b615 + 3612*
    b508*b616 + 420*b508*b617 + 6888*b508*b618 + 2604*b508*b619 + 84*b508*b620
     + 588*b508*b622 + 5964*b508*b623 + 2232*b508*b624 + 4836*b508*b625 + 1302*
    b508*b626 + 3654*b509*b531 + 6786*b509*b532 + 1914*b509*b533 + 2604*b509*
    b534 + 4836*b509*b535 + 1364*b509*b536 + 756*b509*b537 + 1404*b509*b538 + 
    396*b509*b539 + 2772*b509*b540 + 5148*b509*b541 + 1452*b509*b542 + 504*b509
    *b543 + 936*b509*b544 + 264*b509*b545 + 3108*b509*b546 + 5772*b509*b547 + 
    1628*b509*b548 + 2982*b509*b549 + 5538*b509*b550 + 1562*b509*b551 + 336*
    b509*b552 + 624*b509*b553 + 176*b509*b554 + 3780*b509*b555 + 7020*b509*b556
     + 1980*b509*b557 + 2814*b509*b558 + 5226*b509*b559 + 1474*b509*b560 + 3402
    *b509*b561 + 6318*b509*b562 + 1782*b509*b563 + 126*b509*b564 + 234*b509*
    b565 + 66*b509*b566 + 1764*b509*b567 + 3276*b509*b568 + 924*b509*b569 + 
    1092*b509*b570 + 2028*b509*b571 + 572*b509*b572 + 3360*b509*b573 + 6240*
    b509*b574 + 1760*b509*b575 + 2352*b509*b576 + 4368*b509*b577 + 1232*b509*
    b578 + 546*b509*b579 + 1014*b509*b580 + 286*b509*b581 + 1218*b509*b582 + 
    2262*b509*b583 + 638*b509*b584 + 1260*b509*b585 + 2340*b509*b586 + 660*b509
    *b587 + 1554*b509*b588 + 2886*b509*b589 + 814*b509*b590 + 126*b509*b591 + 
    234*b509*b592 + 66*b509*b593 + 714*b509*b594 + 1326*b509*b595 + 374*b509*
    b596 + 1352*b509*b600 + 4732*b509*b601 + 572*b509*b602 + 1820*b509*b603 + 
    4264*b509*b604 + 1352*b509*b605 + 3588*b509*b606 + 2912*b509*b607 + 4472*
    b509*b608 + 2340*b509*b609 + 4732*b509*b610 + 3068*b509*b611 + 936*b509*
    b612 + 3952*b509*b613 + 2028*b509*b614 + 936*b509*b615 + 2964*b509*b616 + 
    1872*b509*b617 + 3172*b509*b618 + 1872*b509*b619 + 1092*b509*b620 + 3692*
    b509*b621 + 572*b509*b622 + 294*b509*b624 + 546*b509*b625 + 154*b509*b626
     + 16530*b510*b531 + 16182*b510*b532 + 348*b510*b533 + 11780*b510*b534 + 
    11532*b510*b535 + 248*b510*b536 + 3420*b510*b537 + 3348*b510*b538 + 72*b510
    *b539 + 12540*b510*b540 + 12276*b510*b541 + 264*b510*b542 + 2280*b510*b543
     + 2232*b510*b544 + 48*b510*b545 + 14060*b510*b546 + 13764*b510*b547 + 296*
    b510*b548 + 13490*b510*b549 + 13206*b510*b550 + 284*b510*b551 + 1520*b510*
    b552 + 1488*b510*b553 + 32*b510*b554 + 17100*b510*b555 + 16740*b510*b556 + 
    360*b510*b557 + 12730*b510*b558 + 12462*b510*b559 + 268*b510*b560 + 15390*
    b510*b561 + 15066*b510*b562 + 324*b510*b563 + 570*b510*b564 + 558*b510*b565
     + 12*b510*b566 + 7980*b510*b567 + 7812*b510*b568 + 168*b510*b569 + 4940*
    b510*b570 + 4836*b510*b571 + 104*b510*b572 + 15200*b510*b573 + 14880*b510*
    b574 + 320*b510*b575 + 10640*b510*b576 + 10416*b510*b577 + 224*b510*b578 + 
    2470*b510*b579 + 2418*b510*b580 + 52*b510*b581 + 5510*b510*b582 + 5394*b510
    *b583 + 116*b510*b584 + 5700*b510*b585 + 5580*b510*b586 + 120*b510*b587 + 
    7030*b510*b588 + 6882*b510*b589 + 148*b510*b590 + 570*b510*b591 + 558*b510*
    b592 + 12*b510*b593 + 3230*b510*b594 + 3162*b510*b595 + 68*b510*b596 + 1508
    *b510*b601 + 4264*b510*b602 + 4264*b510*b603 + 312*b510*b604 + 3692*b510*
    b605 + 416*b510*b606 + 4004*b510*b607 + 3848*b510*b608 + 1560*b510*b609 + 
    4628*b510*b610 + 3952*b510*b611 + 3952*b510*b612 + 2080*b510*b613 + 4836*
    b510*b614 + 2912*b510*b615 + 52*b510*b616 + 2600*b510*b617 + 208*b510*b618
     + 1872*b510*b619 + 1404*b510*b620 + 4420*b510*b621 + 104*b510*b622 + 1352*
    b510*b623 + 1330*b510*b624 + 1302*b510*b625 + 28*b510*b626 + 14268*b511*
    b531 + 12528*b511*b532 + 5046*b511*b533 + 10168*b511*b534 + 8928*b511*b535
     + 3596*b511*b536 + 2952*b511*b537 + 2592*b511*b538 + 1044*b511*b539 + 
    10824*b511*b540 + 9504*b511*b541 + 3828*b511*b542 + 1968*b511*b543 + 1728*
    b511*b544 + 696*b511*b545 + 12136*b511*b546 + 10656*b511*b547 + 4292*b511*
    b548 + 11644*b511*b549 + 10224*b511*b550 + 4118*b511*b551 + 1312*b511*b552
     + 1152*b511*b553 + 464*b511*b554 + 14760*b511*b555 + 12960*b511*b556 + 
    5220*b511*b557 + 10988*b511*b558 + 9648*b511*b559 + 3886*b511*b560 + 13284*
    b511*b561 + 11664*b511*b562 + 4698*b511*b563 + 492*b511*b564 + 432*b511*
    b565 + 174*b511*b566 + 6888*b511*b567 + 6048*b511*b568 + 2436*b511*b569 + 
    4264*b511*b570 + 3744*b511*b571 + 1508*b511*b572 + 13120*b511*b573 + 11520*
    b511*b574 + 4640*b511*b575 + 9184*b511*b576 + 8064*b511*b577 + 3248*b511*
    b578 + 2132*b511*b579 + 1872*b511*b580 + 754*b511*b581 + 4756*b511*b582 + 
    4176*b511*b583 + 1682*b511*b584 + 4920*b511*b585 + 4320*b511*b586 + 1740*
    b511*b587 + 6068*b511*b588 + 5328*b511*b589 + 2146*b511*b590 + 492*b511*
    b591 + 432*b511*b592 + 174*b511*b593 + 2788*b511*b594 + 2448*b511*b595 + 
    986*b511*b596 + 1508*b511*b600 + 52*b511*b602 + 780*b511*b603 + 572*b511*
    b604 + 1820*b511*b605 + 572*b511*b606 + 1040*b511*b607 + 1092*b511*b608 + 
    3172*b511*b609 + 4160*b511*b610 + 3016*b511*b611 + 1092*b511*b612 + 3952*
    b511*b613 + 3744*b511*b614 + 2288*b511*b615 + 4420*b511*b616 + 4888*b511*
    b617 + 4680*b511*b618 + 2652*b511*b619 + 156*b511*b620 + 2496*b511*b621 + 
    1508*b511*b622 + 4732*b511*b623 + 1148*b511*b624 + 1008*b511*b625 + 406*
    b511*b626 + 9744*b512*b531 + 14442*b512*b532 + 15138*b512*b533 + 6944*b512*
    b534 + 10292*b512*b535 + 10788*b512*b536 + 2016*b512*b537 + 2988*b512*b538
     + 3132*b512*b539 + 7392*b512*b540 + 10956*b512*b541 + 11484*b512*b542 + 
    1344*b512*b543 + 1992*b512*b544 + 2088*b512*b545 + 8288*b512*b546 + 12284*
    b512*b547 + 12876*b512*b548 + 7952*b512*b549 + 11786*b512*b550 + 12354*b512
    *b551 + 896*b512*b552 + 1328*b512*b553 + 1392*b512*b554 + 10080*b512*b555
     + 14940*b512*b556 + 15660*b512*b557 + 7504*b512*b558 + 11122*b512*b559 + 
    11658*b512*b560 + 9072*b512*b561 + 13446*b512*b562 + 14094*b512*b563 + 336*
    b512*b564 + 498*b512*b565 + 522*b512*b566 + 4704*b512*b567 + 6972*b512*b568
     + 7308*b512*b569 + 2912*b512*b570 + 4316*b512*b571 + 4524*b512*b572 + 8960
    *b512*b573 + 13280*b512*b574 + 13920*b512*b575 + 6272*b512*b576 + 9296*b512
    *b577 + 9744*b512*b578 + 1456*b512*b579 + 2158*b512*b580 + 2262*b512*b581
     + 3248*b512*b582 + 4814*b512*b583 + 5046*b512*b584 + 3360*b512*b585 + 4980
    *b512*b586 + 5220*b512*b587 + 4144*b512*b588 + 6142*b512*b589 + 6438*b512*
    b590 + 336*b512*b591 + 498*b512*b592 + 522*b512*b593 + 1904*b512*b594 + 
    2822*b512*b595 + 2958*b512*b596 + 4264*b512*b600 + 52*b512*b601 + 4680*b512
    *b603 + 3432*b512*b604 + 2132*b512*b605 + 780*b512*b606 + 4316*b512*b607 + 
    4992*b512*b608 + 3848*b512*b609 + 2340*b512*b610 + 3380*b512*b611 + 2080*
    b512*b612 + 2808*b512*b613 + 4316*b512*b614 + 728*b512*b615 + 3692*b512*
    b616 + 4004*b512*b617 + 1872*b512*b618 + 2756*b512*b619 + 1924*b512*b620 + 
    1352*b512*b621 + 4524*b512*b622 + 572*b512*b623 + 784*b512*b624 + 1162*b512
    *b625 + 1218*b512*b626 + 7134*b513*b531 + 13746*b513*b532 + 696*b513*b533
     + 5084*b513*b534 + 9796*b513*b535 + 496*b513*b536 + 1476*b513*b537 + 2844*
    b513*b538 + 144*b513*b539 + 5412*b513*b540 + 10428*b513*b541 + 528*b513*
    b542 + 984*b513*b543 + 1896*b513*b544 + 96*b513*b545 + 6068*b513*b546 + 
    11692*b513*b547 + 592*b513*b548 + 5822*b513*b549 + 11218*b513*b550 + 568*
    b513*b551 + 656*b513*b552 + 1264*b513*b553 + 64*b513*b554 + 7380*b513*b555
     + 14220*b513*b556 + 720*b513*b557 + 5494*b513*b558 + 10586*b513*b559 + 536
    *b513*b560 + 6642*b513*b561 + 12798*b513*b562 + 648*b513*b563 + 246*b513*
    b564 + 474*b513*b565 + 24*b513*b566 + 3444*b513*b567 + 6636*b513*b568 + 336
    *b513*b569 + 2132*b513*b570 + 4108*b513*b571 + 208*b513*b572 + 6560*b513*
    b573 + 12640*b513*b574 + 640*b513*b575 + 4592*b513*b576 + 8848*b513*b577 + 
    448*b513*b578 + 1066*b513*b579 + 2054*b513*b580 + 104*b513*b581 + 2378*b513
    *b582 + 4582*b513*b583 + 232*b513*b584 + 2460*b513*b585 + 4740*b513*b586 + 
    240*b513*b587 + 3034*b513*b588 + 5846*b513*b589 + 296*b513*b590 + 246*b513*
    b591 + 474*b513*b592 + 24*b513*b593 + 1394*b513*b594 + 2686*b513*b595 + 136
    *b513*b596 + 4264*b513*b600 + 780*b513*b601 + 4680*b513*b602 + 3952*b513*
    b604 + 4732*b513*b605 + 676*b513*b606 + 1508*b513*b607 + 572*b513*b608 + 
    4004*b513*b609 + 1664*b513*b610 + 4524*b513*b611 + 3484*b513*b612 + 4888*
    b513*b613 + 4108*b513*b614 + 104*b513*b615 + 520*b513*b616 + 5148*b513*b617
     + 2912*b513*b618 + 3640*b513*b619 + 5148*b513*b620 + 3120*b513*b621 + 208*
    b513*b622 + 1820*b513*b623 + 574*b513*b624 + 1106*b513*b625 + 56*b513*b626
     + 1044*b514*b531 + 696*b514*b532 + 10266*b514*b533 + 744*b514*b534 + 496*
    b514*b535 + 7316*b514*b536 + 216*b514*b537 + 144*b514*b538 + 2124*b514*b539
     + 792*b514*b540 + 528*b514*b541 + 7788*b514*b542 + 144*b514*b543 + 96*b514
    *b544 + 1416*b514*b545 + 888*b514*b546 + 592*b514*b547 + 8732*b514*b548 + 
    852*b514*b549 + 568*b514*b550 + 8378*b514*b551 + 96*b514*b552 + 64*b514*
    b553 + 944*b514*b554 + 1080*b514*b555 + 720*b514*b556 + 10620*b514*b557 + 
    804*b514*b558 + 536*b514*b559 + 7906*b514*b560 + 972*b514*b561 + 648*b514*
    b562 + 9558*b514*b563 + 36*b514*b564 + 24*b514*b565 + 354*b514*b566 + 504*
    b514*b567 + 336*b514*b568 + 4956*b514*b569 + 312*b514*b570 + 208*b514*b571
     + 3068*b514*b572 + 960*b514*b573 + 640*b514*b574 + 9440*b514*b575 + 672*
    b514*b576 + 448*b514*b577 + 6608*b514*b578 + 156*b514*b579 + 104*b514*b580
     + 1534*b514*b581 + 348*b514*b582 + 232*b514*b583 + 3422*b514*b584 + 360*
    b514*b585 + 240*b514*b586 + 3540*b514*b587 + 444*b514*b588 + 296*b514*b589
     + 4366*b514*b590 + 36*b514*b591 + 24*b514*b592 + 354*b514*b593 + 204*b514*
    b594 + 136*b514*b595 + 2006*b514*b596 + 312*b514*b600 + 572*b514*b601 + 
    3432*b514*b602 + 3952*b514*b603 + 2912*b514*b605 + 104*b514*b606 + 3120*
    b514*b607 + 3744*b514*b608 + 3848*b514*b609 + 2392*b514*b610 + 676*b514*
    b611 + 1040*b514*b612 + 4472*b514*b613 + 208*b514*b614 + 4004*b514*b615 + 
    780*b514*b616 + 4628*b514*b617 + 2496*b514*b618 + 728*b514*b619 + 4628*b514
    *b620 + 2288*b514*b621 + 3068*b514*b622 + 4264*b514*b623 + 84*b514*b624 + 
    56*b514*b625 + 826*b514*b626 + 4350*b515*b531 + 8004*b515*b532 + 11832*b515
    *b533 + 3100*b515*b534 + 5704*b515*b535 + 8432*b515*b536 + 900*b515*b537 + 
    1656*b515*b538 + 2448*b515*b539 + 3300*b515*b540 + 6072*b515*b541 + 8976*
    b515*b542 + 600*b515*b543 + 1104*b515*b544 + 1632*b515*b545 + 3700*b515*
    b546 + 6808*b515*b547 + 10064*b515*b548 + 3550*b515*b549 + 6532*b515*b550
     + 9656*b515*b551 + 400*b515*b552 + 736*b515*b553 + 1088*b515*b554 + 4500*
    b515*b555 + 8280*b515*b556 + 12240*b515*b557 + 3350*b515*b558 + 6164*b515*
    b559 + 9112*b515*b560 + 4050*b515*b561 + 7452*b515*b562 + 11016*b515*b563
     + 150*b515*b564 + 276*b515*b565 + 408*b515*b566 + 2100*b515*b567 + 3864*
    b515*b568 + 5712*b515*b569 + 1300*b515*b570 + 2392*b515*b571 + 3536*b515*
    b572 + 4000*b515*b573 + 7360*b515*b574 + 10880*b515*b575 + 2800*b515*b576
     + 5152*b515*b577 + 7616*b515*b578 + 650*b515*b579 + 1196*b515*b580 + 1768*
    b515*b581 + 1450*b515*b582 + 2668*b515*b583 + 3944*b515*b584 + 1500*b515*
    b585 + 2760*b515*b586 + 4080*b515*b587 + 1850*b515*b588 + 3404*b515*b589 + 
    5032*b515*b590 + 150*b515*b591 + 276*b515*b592 + 408*b515*b593 + 850*b515*
    b594 + 1564*b515*b595 + 2312*b515*b596 + 3692*b515*b600 + 1820*b515*b601 + 
    2132*b515*b602 + 4732*b515*b603 + 2912*b515*b604 + 1144*b515*b606 + 2964*
    b515*b607 + 3276*b515*b608 + 312*b515*b609 + 3224*b515*b611 + 2132*b515*
    b612 + 3224*b515*b613 + 2392*b515*b614 + 1300*b515*b615 + 3900*b515*b616 + 
    3952*b515*b617 + 2080*b515*b618 + 3432*b515*b619 + 3016*b515*b620 + 1560*
    b515*b621 + 3536*b515*b622 + 1352*b515*b623 + 350*b515*b624 + 644*b515*b625
     + 952*b515*b626 + 1740*b516*b531 + 1392*b516*b532 + 5220*b516*b533 + 1240*
    b516*b534 + 992*b516*b535 + 3720*b516*b536 + 360*b516*b537 + 288*b516*b538
     + 1080*b516*b539 + 1320*b516*b540 + 1056*b516*b541 + 3960*b516*b542 + 240*
    b516*b543 + 192*b516*b544 + 720*b516*b545 + 1480*b516*b546 + 1184*b516*b547
     + 4440*b516*b548 + 1420*b516*b549 + 1136*b516*b550 + 4260*b516*b551 + 160*
    b516*b552 + 128*b516*b553 + 480*b516*b554 + 1800*b516*b555 + 1440*b516*b556
     + 5400*b516*b557 + 1340*b516*b558 + 1072*b516*b559 + 4020*b516*b560 + 1620
    *b516*b561 + 1296*b516*b562 + 4860*b516*b563 + 60*b516*b564 + 48*b516*b565
     + 180*b516*b566 + 840*b516*b567 + 672*b516*b568 + 2520*b516*b569 + 520*
    b516*b570 + 416*b516*b571 + 1560*b516*b572 + 1600*b516*b573 + 1280*b516*
    b574 + 4800*b516*b575 + 1120*b516*b576 + 896*b516*b577 + 3360*b516*b578 + 
    260*b516*b579 + 208*b516*b580 + 780*b516*b581 + 580*b516*b582 + 464*b516*
    b583 + 1740*b516*b584 + 600*b516*b585 + 480*b516*b586 + 1800*b516*b587 + 
    740*b516*b588 + 592*b516*b589 + 2220*b516*b590 + 60*b516*b591 + 48*b516*
    b592 + 180*b516*b593 + 340*b516*b594 + 272*b516*b595 + 1020*b516*b596 + 416
    *b516*b600 + 572*b516*b601 + 780*b516*b602 + 676*b516*b603 + 104*b516*b604
     + 1144*b516*b605 + 4056*b516*b607 + 4732*b516*b608 + 676*b516*b609 + 3068*
    b516*b610 + 2548*b516*b611 + 4420*b516*b612 + 4368*b516*b613 + 416*b516*
    b614 + 1976*b516*b615 + 2132*b516*b616 + 2912*b516*b617 + 2028*b516*b618 + 
    2756*b516*b619 + 4004*b516*b620 + 2600*b516*b621 + 1560*b516*b622 + 3588*
    b516*b623 + 140*b516*b624 + 112*b516*b625 + 420*b516*b626 + 696*b517*b531
     + 9222*b517*b532 + 8004*b517*b533 + 496*b517*b534 + 6572*b517*b535 + 5704*
    b517*b536 + 144*b517*b537 + 1908*b517*b538 + 1656*b517*b539 + 528*b517*b540
     + 6996*b517*b541 + 6072*b517*b542 + 96*b517*b543 + 1272*b517*b544 + 1104*
    b517*b545 + 592*b517*b546 + 7844*b517*b547 + 6808*b517*b548 + 568*b517*b549
     + 7526*b517*b550 + 6532*b517*b551 + 64*b517*b552 + 848*b517*b553 + 736*
    b517*b554 + 720*b517*b555 + 9540*b517*b556 + 8280*b517*b557 + 536*b517*b558
     + 7102*b517*b559 + 6164*b517*b560 + 648*b517*b561 + 8586*b517*b562 + 7452*
    b517*b563 + 24*b517*b564 + 318*b517*b565 + 276*b517*b566 + 336*b517*b567 + 
    4452*b517*b568 + 3864*b517*b569 + 208*b517*b570 + 2756*b517*b571 + 2392*
    b517*b572 + 640*b517*b573 + 8480*b517*b574 + 7360*b517*b575 + 448*b517*b576
     + 5936*b517*b577 + 5152*b517*b578 + 104*b517*b579 + 1378*b517*b580 + 1196*
    b517*b581 + 232*b517*b582 + 3074*b517*b583 + 2668*b517*b584 + 240*b517*b585
     + 3180*b517*b586 + 2760*b517*b587 + 296*b517*b588 + 3922*b517*b589 + 3404*
    b517*b590 + 24*b517*b591 + 318*b517*b592 + 276*b517*b593 + 136*b517*b594 + 
    1802*b517*b595 + 1564*b517*b596 + 4004*b517*b600 + 1040*b517*b601 + 4316*
    b517*b602 + 1508*b517*b603 + 3120*b517*b604 + 2964*b517*b605 + 4056*b517*
    b606 + 3016*b517*b608 + 2860*b517*b609 + 988*b517*b610 + 4420*b517*b611 + 
    2704*b517*b612 + 1768*b517*b613 + 2756*b517*b614 + 2080*b517*b615 + 3588*
    b517*b616 + 624*b517*b617 + 4420*b517*b618 + 3744*b517*b619 + 364*b517*b620
     + 2548*b517*b621 + 2392*b517*b622 + 2912*b517*b623 + 56*b517*b624 + 742*
    b517*b625 + 644*b517*b626 + 10962*b518*b531 + 3654*b518*b532 + 10788*b518*
    b533 + 7812*b518*b534 + 2604*b518*b535 + 7688*b518*b536 + 2268*b518*b537 + 
    756*b518*b538 + 2232*b518*b539 + 8316*b518*b540 + 2772*b518*b541 + 8184*
    b518*b542 + 1512*b518*b543 + 504*b518*b544 + 1488*b518*b545 + 9324*b518*
    b546 + 3108*b518*b547 + 9176*b518*b548 + 8946*b518*b549 + 2982*b518*b550 + 
    8804*b518*b551 + 1008*b518*b552 + 336*b518*b553 + 992*b518*b554 + 11340*
    b518*b555 + 3780*b518*b556 + 11160*b518*b557 + 8442*b518*b558 + 2814*b518*
    b559 + 8308*b518*b560 + 10206*b518*b561 + 3402*b518*b562 + 10044*b518*b563
     + 378*b518*b564 + 126*b518*b565 + 372*b518*b566 + 5292*b518*b567 + 1764*
    b518*b568 + 5208*b518*b569 + 3276*b518*b570 + 1092*b518*b571 + 3224*b518*
    b572 + 10080*b518*b573 + 3360*b518*b574 + 9920*b518*b575 + 7056*b518*b576
     + 2352*b518*b577 + 6944*b518*b578 + 1638*b518*b579 + 546*b518*b580 + 1612*
    b518*b581 + 3654*b518*b582 + 1218*b518*b583 + 3596*b518*b584 + 3780*b518*
    b585 + 1260*b518*b586 + 3720*b518*b587 + 4662*b518*b588 + 1554*b518*b589 + 
    4588*b518*b590 + 378*b518*b591 + 126*b518*b592 + 372*b518*b593 + 2142*b518*
    b594 + 714*b518*b595 + 2108*b518*b596 + 3848*b518*b600 + 1092*b518*b601 + 
    4992*b518*b602 + 572*b518*b603 + 3744*b518*b604 + 3276*b518*b605 + 4732*
    b518*b606 + 3016*b518*b607 + 4524*b518*b609 + 3016*b518*b610 + 884*b518*
    b611 + 3536*b518*b612 + 1404*b518*b613 + 1092*b518*b614 + 312*b518*b615 + 
    3484*b518*b616 + 1352*b518*b617 + 4264*b518*b618 + 2288*b518*b619 + 1820*
    b518*b620 + 156*b518*b621 + 3224*b518*b622 + 4472*b518*b623 + 882*b518*b624
     + 294*b518*b625 + 868*b518*b626 + 1044*b519*b531 + 6786*b519*b532 + 5742*
    b519*b533 + 744*b519*b534 + 4836*b519*b535 + 4092*b519*b536 + 216*b519*b537
     + 1404*b519*b538 + 1188*b519*b539 + 792*b519*b540 + 5148*b519*b541 + 4356*
    b519*b542 + 144*b519*b543 + 936*b519*b544 + 792*b519*b545 + 888*b519*b546
     + 5772*b519*b547 + 4884*b519*b548 + 852*b519*b549 + 5538*b519*b550 + 4686*
    b519*b551 + 96*b519*b552 + 624*b519*b553 + 528*b519*b554 + 1080*b519*b555
     + 7020*b519*b556 + 5940*b519*b557 + 804*b519*b558 + 5226*b519*b559 + 4422*
    b519*b560 + 972*b519*b561 + 6318*b519*b562 + 5346*b519*b563 + 36*b519*b564
     + 234*b519*b565 + 198*b519*b566 + 504*b519*b567 + 3276*b519*b568 + 2772*
    b519*b569 + 312*b519*b570 + 2028*b519*b571 + 1716*b519*b572 + 960*b519*b573
     + 6240*b519*b574 + 5280*b519*b575 + 672*b519*b576 + 4368*b519*b577 + 3696*
    b519*b578 + 156*b519*b579 + 1014*b519*b580 + 858*b519*b581 + 348*b519*b582
     + 2262*b519*b583 + 1914*b519*b584 + 360*b519*b585 + 2340*b519*b586 + 1980*
    b519*b587 + 444*b519*b588 + 2886*b519*b589 + 2442*b519*b590 + 36*b519*b591
     + 234*b519*b592 + 198*b519*b593 + 204*b519*b594 + 1326*b519*b595 + 1122*
    b519*b596 + 1560*b519*b600 + 3172*b519*b601 + 3848*b519*b602 + 4004*b519*
    b603 + 3848*b519*b604 + 312*b519*b605 + 676*b519*b606 + 2860*b519*b607 + 
    4524*b519*b608 + 416*b519*b610 + 2652*b519*b611 + 52*b519*b612 + 4732*b519*
    b613 + 2028*b519*b614 + 4524*b519*b615 + 3744*b519*b616 + 2340*b519*b617 + 
    4992*b519*b618 + 364*b519*b619 + 4524*b519*b620 + 3536*b519*b621 + 1716*
    b519*b622 + 2340*b519*b623 + 84*b519*b624 + 546*b519*b625 + 462*b519*b626
     + 7656*b520*b531 + 7830*b520*b532 + 10614*b520*b533 + 5456*b520*b534 + 
    5580*b520*b535 + 7564*b520*b536 + 1584*b520*b537 + 1620*b520*b538 + 2196*
    b520*b539 + 5808*b520*b540 + 5940*b520*b541 + 8052*b520*b542 + 1056*b520*
    b543 + 1080*b520*b544 + 1464*b520*b545 + 6512*b520*b546 + 6660*b520*b547 + 
    9028*b520*b548 + 6248*b520*b549 + 6390*b520*b550 + 8662*b520*b551 + 704*
    b520*b552 + 720*b520*b553 + 976*b520*b554 + 7920*b520*b555 + 8100*b520*b556
     + 10980*b520*b557 + 5896*b520*b558 + 6030*b520*b559 + 8174*b520*b560 + 
    7128*b520*b561 + 7290*b520*b562 + 9882*b520*b563 + 264*b520*b564 + 270*b520
    *b565 + 366*b520*b566 + 3696*b520*b567 + 3780*b520*b568 + 5124*b520*b569 + 
    2288*b520*b570 + 2340*b520*b571 + 3172*b520*b572 + 7040*b520*b573 + 7200*
    b520*b574 + 9760*b520*b575 + 4928*b520*b576 + 5040*b520*b577 + 6832*b520*
    b578 + 1144*b520*b579 + 1170*b520*b580 + 1586*b520*b581 + 2552*b520*b582 + 
    2610*b520*b583 + 3538*b520*b584 + 2640*b520*b585 + 2700*b520*b586 + 3660*
    b520*b587 + 3256*b520*b588 + 3330*b520*b589 + 4514*b520*b590 + 264*b520*
    b591 + 270*b520*b592 + 366*b520*b593 + 1496*b520*b594 + 1530*b520*b595 + 
    2074*b520*b596 + 4628*b520*b600 + 4160*b520*b601 + 2340*b520*b602 + 1664*
    b520*b603 + 2392*b520*b604 + 3068*b520*b606 + 988*b520*b607 + 3016*b520*
    b608 + 416*b520*b609 + 156*b520*b611 + 1092*b520*b612 + 4680*b520*b613 + 
    2340*b520*b614 + 2444*b520*b615 + 1300*b520*b616 + 1560*b520*b617 + 2236*
    b520*b618 + 5044*b520*b619 + 1716*b520*b620 + 1820*b520*b621 + 3172*b520*
    b622 + 4732*b520*b623 + 616*b520*b624 + 630*b520*b625 + 854*b520*b626 + 
    6960*b521*b531 + 7482*b521*b532 + 10266*b521*b533 + 4960*b521*b534 + 5332*
    b521*b535 + 7316*b521*b536 + 1440*b521*b537 + 1548*b521*b538 + 2124*b521*
    b539 + 5280*b521*b540 + 5676*b521*b541 + 7788*b521*b542 + 960*b521*b543 + 
    1032*b521*b544 + 1416*b521*b545 + 5920*b521*b546 + 6364*b521*b547 + 8732*
    b521*b548 + 5680*b521*b549 + 6106*b521*b550 + 8378*b521*b551 + 640*b521*
    b552 + 688*b521*b553 + 944*b521*b554 + 7200*b521*b555 + 7740*b521*b556 + 
    10620*b521*b557 + 5360*b521*b558 + 5762*b521*b559 + 7906*b521*b560 + 6480*
    b521*b561 + 6966*b521*b562 + 9558*b521*b563 + 240*b521*b564 + 258*b521*b565
     + 354*b521*b566 + 3360*b521*b567 + 3612*b521*b568 + 4956*b521*b569 + 2080*
    b521*b570 + 2236*b521*b571 + 3068*b521*b572 + 6400*b521*b573 + 6880*b521*
    b574 + 9440*b521*b575 + 4480*b521*b576 + 4816*b521*b577 + 6608*b521*b578 + 
    1040*b521*b579 + 1118*b521*b580 + 1534*b521*b581 + 2320*b521*b582 + 2494*
    b521*b583 + 3422*b521*b584 + 2400*b521*b585 + 2580*b521*b586 + 3540*b521*
    b587 + 2960*b521*b588 + 3182*b521*b589 + 4366*b521*b590 + 240*b521*b591 + 
    258*b521*b592 + 354*b521*b593 + 1360*b521*b594 + 1462*b521*b595 + 2006*b521
    *b596 + 3952*b521*b600 + 3016*b521*b601 + 3380*b521*b602 + 4524*b521*b603
     + 676*b521*b604 + 3224*b521*b605 + 2548*b521*b606 + 4420*b521*b607 + 884*
    b521*b608 + 2652*b521*b609 + 156*b521*b610 + 2184*b521*b612 + 1872*b521*
    b613 + 2236*b521*b614 + 364*b521*b615 + 4368*b521*b616 + 312*b521*b617 + 
    2496*b521*b620 + 3224*b521*b621 + 3068*b521*b622 + 3068*b521*b623 + 560*
    b521*b624 + 602*b521*b625 + 826*b521*b626 + 13050*b522*b531 + 16356*b522*
    b532 + 2610*b522*b533 + 9300*b522*b534 + 11656*b522*b535 + 1860*b522*b536
     + 2700*b522*b537 + 3384*b522*b538 + 540*b522*b539 + 9900*b522*b540 + 12408
    *b522*b541 + 1980*b522*b542 + 1800*b522*b543 + 2256*b522*b544 + 360*b522*
    b545 + 11100*b522*b546 + 13912*b522*b547 + 2220*b522*b548 + 10650*b522*b549
     + 13348*b522*b550 + 2130*b522*b551 + 1200*b522*b552 + 1504*b522*b553 + 240
    *b522*b554 + 13500*b522*b555 + 16920*b522*b556 + 2700*b522*b557 + 10050*
    b522*b558 + 12596*b522*b559 + 2010*b522*b560 + 12150*b522*b561 + 15228*b522
    *b562 + 2430*b522*b563 + 450*b522*b564 + 564*b522*b565 + 90*b522*b566 + 
    6300*b522*b567 + 7896*b522*b568 + 1260*b522*b569 + 3900*b522*b570 + 4888*
    b522*b571 + 780*b522*b572 + 12000*b522*b573 + 15040*b522*b574 + 2400*b522*
    b575 + 8400*b522*b576 + 10528*b522*b577 + 1680*b522*b578 + 1950*b522*b579
     + 2444*b522*b580 + 390*b522*b581 + 4350*b522*b582 + 5452*b522*b583 + 870*
    b522*b584 + 4500*b522*b585 + 5640*b522*b586 + 900*b522*b587 + 5550*b522*
    b588 + 6956*b522*b589 + 1110*b522*b590 + 450*b522*b591 + 564*b522*b592 + 90
    *b522*b593 + 2550*b522*b594 + 3196*b522*b595 + 510*b522*b596 + 3952*b522*
    b600 + 1092*b522*b601 + 2080*b522*b602 + 3484*b522*b603 + 1040*b522*b604 + 
    2132*b522*b605 + 4420*b522*b606 + 2704*b522*b607 + 3536*b522*b608 + 52*b522
    *b609 + 1092*b522*b610 + 2184*b522*b611 + 1508*b522*b613 + 4888*b522*b614
     + 4264*b522*b615 + 1508*b522*b616 + 156*b522*b617 + 156*b522*b618 + 2652*
    b522*b619 + 3484*b522*b620 + 2028*b522*b621 + 780*b522*b622 + 936*b522*b623
     + 1050*b522*b624 + 1316*b522*b625 + 210*b522*b626 + 13746*b523*b531 + 
    11484*b523*b532 + 14268*b523*b533 + 9796*b523*b534 + 8184*b523*b535 + 10168
    *b523*b536 + 2844*b523*b537 + 2376*b523*b538 + 2952*b523*b539 + 10428*b523*
    b540 + 8712*b523*b541 + 10824*b523*b542 + 1896*b523*b543 + 1584*b523*b544
     + 1968*b523*b545 + 11692*b523*b546 + 9768*b523*b547 + 12136*b523*b548 + 
    11218*b523*b549 + 9372*b523*b550 + 11644*b523*b551 + 1264*b523*b552 + 1056*
    b523*b553 + 1312*b523*b554 + 14220*b523*b555 + 11880*b523*b556 + 14760*b523
    *b557 + 10586*b523*b558 + 8844*b523*b559 + 10988*b523*b560 + 12798*b523*
    b561 + 10692*b523*b562 + 13284*b523*b563 + 474*b523*b564 + 396*b523*b565 + 
    492*b523*b566 + 6636*b523*b567 + 5544*b523*b568 + 6888*b523*b569 + 4108*
    b523*b570 + 3432*b523*b571 + 4264*b523*b572 + 12640*b523*b573 + 10560*b523*
    b574 + 13120*b523*b575 + 8848*b523*b576 + 7392*b523*b577 + 9184*b523*b578
     + 2054*b523*b579 + 1716*b523*b580 + 2132*b523*b581 + 4582*b523*b582 + 3828
    *b523*b583 + 4756*b523*b584 + 4740*b523*b585 + 3960*b523*b586 + 4920*b523*
    b587 + 5846*b523*b588 + 4884*b523*b589 + 6068*b523*b590 + 474*b523*b591 + 
    396*b523*b592 + 492*b523*b593 + 2686*b523*b594 + 2244*b523*b595 + 2788*b523
    *b596 + 2080*b523*b600 + 3952*b523*b601 + 2808*b523*b602 + 4888*b523*b603
     + 4472*b523*b604 + 3224*b523*b605 + 4368*b523*b606 + 1768*b523*b607 + 1404
    *b523*b608 + 4732*b523*b609 + 4680*b523*b610 + 1872*b523*b611 + 1508*b523*
    b612 + 3432*b523*b614 + 2184*b523*b615 + 1196*b523*b616 + 3224*b523*b617 + 
    3224*b523*b618 + 1456*b523*b619 + 3952*b523*b620 + 3432*b523*b621 + 4264*
    b523*b622 + 3952*b523*b623 + 1106*b523*b624 + 924*b523*b625 + 1148*b523*
    b626 + 15486*b524*b531 + 17052*b524*b532 + 9918*b524*b533 + 11036*b524*b534
     + 12152*b524*b535 + 7068*b524*b536 + 3204*b524*b537 + 3528*b524*b538 + 
    2052*b524*b539 + 11748*b524*b540 + 12936*b524*b541 + 7524*b524*b542 + 2136*
    b524*b543 + 2352*b524*b544 + 1368*b524*b545 + 13172*b524*b546 + 14504*b524*
    b547 + 8436*b524*b548 + 12638*b524*b549 + 13916*b524*b550 + 8094*b524*b551
     + 1424*b524*b552 + 1568*b524*b553 + 912*b524*b554 + 16020*b524*b555 + 
    17640*b524*b556 + 10260*b524*b557 + 11926*b524*b558 + 13132*b524*b559 + 
    7638*b524*b560 + 14418*b524*b561 + 15876*b524*b562 + 9234*b524*b563 + 534*
    b524*b564 + 588*b524*b565 + 342*b524*b566 + 7476*b524*b567 + 8232*b524*b568
     + 4788*b524*b569 + 4628*b524*b570 + 5096*b524*b571 + 2964*b524*b572 + 
    14240*b524*b573 + 15680*b524*b574 + 9120*b524*b575 + 9968*b524*b576 + 10976
    *b524*b577 + 6384*b524*b578 + 2314*b524*b579 + 2548*b524*b580 + 1482*b524*
    b581 + 5162*b524*b582 + 5684*b524*b583 + 3306*b524*b584 + 5340*b524*b585 + 
    5880*b524*b586 + 3420*b524*b587 + 6586*b524*b588 + 7252*b524*b589 + 4218*
    b524*b590 + 534*b524*b591 + 588*b524*b592 + 342*b524*b593 + 3026*b524*b594
     + 3332*b524*b595 + 1938*b524*b596 + 2912*b524*b600 + 2288*b524*b601 + 728*
    b524*b602 + 104*b524*b603 + 4004*b524*b604 + 1300*b524*b605 + 1976*b524*
    b606 + 2080*b524*b607 + 312*b524*b608 + 4524*b524*b609 + 2444*b524*b610 + 
    364*b524*b611 + 4264*b524*b612 + 2184*b524*b613 + 5096*b524*b614 + 4472*
    b524*b616 + 3120*b524*b617 + 3224*b524*b618 + 3224*b524*b619 + 4316*b524*
    b620 + 4732*b524*b621 + 2964*b524*b622 + 936*b524*b623 + 1246*b524*b624 + 
    1372*b524*b625 + 798*b524*b626 + 6090*b525*b531 + 6090*b525*b532 + 11310*
    b525*b533 + 4340*b525*b534 + 4340*b525*b535 + 8060*b525*b536 + 1260*b525*
    b537 + 1260*b525*b538 + 2340*b525*b539 + 4620*b525*b540 + 4620*b525*b541 + 
    8580*b525*b542 + 840*b525*b543 + 840*b525*b544 + 1560*b525*b545 + 5180*b525
    *b546 + 5180*b525*b547 + 9620*b525*b548 + 4970*b525*b549 + 4970*b525*b550
     + 9230*b525*b551 + 560*b525*b552 + 560*b525*b553 + 1040*b525*b554 + 6300*
    b525*b555 + 6300*b525*b556 + 11700*b525*b557 + 4690*b525*b558 + 4690*b525*
    b559 + 8710*b525*b560 + 5670*b525*b561 + 5670*b525*b562 + 10530*b525*b563
     + 210*b525*b564 + 210*b525*b565 + 390*b525*b566 + 2940*b525*b567 + 2940*
    b525*b568 + 5460*b525*b569 + 1820*b525*b570 + 1820*b525*b571 + 3380*b525*
    b572 + 5600*b525*b573 + 5600*b525*b574 + 10400*b525*b575 + 3920*b525*b576
     + 3920*b525*b577 + 7280*b525*b578 + 910*b525*b579 + 910*b525*b580 + 1690*
    b525*b581 + 2030*b525*b582 + 2030*b525*b583 + 3770*b525*b584 + 2100*b525*
    b585 + 2100*b525*b586 + 3900*b525*b587 + 2590*b525*b588 + 2590*b525*b589 + 
    4810*b525*b590 + 210*b525*b591 + 210*b525*b592 + 390*b525*b593 + 1190*b525*
    b594 + 1190*b525*b595 + 2210*b525*b596 + 52*b525*b600 + 4420*b525*b601 + 
    3692*b525*b602 + 520*b525*b603 + 780*b525*b604 + 3900*b525*b605 + 2132*b525
    *b606 + 3588*b525*b607 + 3484*b525*b608 + 3744*b525*b609 + 1300*b525*b610
     + 4368*b525*b611 + 1508*b525*b612 + 1196*b525*b613 + 1820*b525*b614 + 4472
    *b525*b615 + 3224*b525*b617 + 1872*b525*b618 + 104*b525*b619 + 104*b525*
    b620 + 2236*b525*b621 + 3380*b525*b622 + 2964*b525*b623 + 490*b525*b624 + 
    490*b525*b625 + 910*b525*b626 + 1566*b526*b531 + 2610*b526*b532 + 5916*b526
    *b533 + 1116*b526*b534 + 1860*b526*b535 + 4216*b526*b536 + 324*b526*b537 + 
    540*b526*b538 + 1224*b526*b539 + 1188*b526*b540 + 1980*b526*b541 + 4488*
    b526*b542 + 216*b526*b543 + 360*b526*b544 + 816*b526*b545 + 1332*b526*b546
     + 2220*b526*b547 + 5032*b526*b548 + 1278*b526*b549 + 2130*b526*b550 + 4828
    *b526*b551 + 144*b526*b552 + 240*b526*b553 + 544*b526*b554 + 1620*b526*b555
     + 2700*b526*b556 + 6120*b526*b557 + 1206*b526*b558 + 2010*b526*b559 + 4556
    *b526*b560 + 1458*b526*b561 + 2430*b526*b562 + 5508*b526*b563 + 54*b526*
    b564 + 90*b526*b565 + 204*b526*b566 + 756*b526*b567 + 1260*b526*b568 + 2856
    *b526*b569 + 468*b526*b570 + 780*b526*b571 + 1768*b526*b572 + 1440*b526*
    b573 + 2400*b526*b574 + 5440*b526*b575 + 1008*b526*b576 + 1680*b526*b577 + 
    3808*b526*b578 + 234*b526*b579 + 390*b526*b580 + 884*b526*b581 + 522*b526*
    b582 + 870*b526*b583 + 1972*b526*b584 + 540*b526*b585 + 900*b526*b586 + 
    2040*b526*b587 + 666*b526*b588 + 1110*b526*b589 + 2516*b526*b590 + 54*b526*
    b591 + 90*b526*b592 + 204*b526*b593 + 306*b526*b594 + 510*b526*b595 + 1156*
    b526*b596 + 2600*b526*b600 + 4888*b526*b601 + 4004*b526*b602 + 5148*b526*
    b603 + 4628*b526*b604 + 3952*b526*b605 + 2912*b526*b606 + 624*b526*b607 + 
    1352*b526*b608 + 2340*b526*b609 + 1560*b526*b610 + 312*b526*b611 + 156*b526
    *b612 + 3224*b526*b613 + 780*b526*b614 + 3120*b526*b615 + 3224*b526*b616 + 
    1924*b526*b618 + 2548*b526*b619 + 3172*b526*b620 + 260*b526*b621 + 1768*
    b526*b622 + 1872*b526*b623 + 126*b526*b624 + 210*b526*b625 + 476*b526*b626
     + 174*b527*b531 + 2958*b527*b532 + 8352*b527*b533 + 124*b527*b534 + 2108*
    b527*b535 + 5952*b527*b536 + 36*b527*b537 + 612*b527*b538 + 1728*b527*b539
     + 132*b527*b540 + 2244*b527*b541 + 6336*b527*b542 + 24*b527*b543 + 408*
    b527*b544 + 1152*b527*b545 + 148*b527*b546 + 2516*b527*b547 + 7104*b527*
    b548 + 142*b527*b549 + 2414*b527*b550 + 6816*b527*b551 + 16*b527*b552 + 272
    *b527*b553 + 768*b527*b554 + 180*b527*b555 + 3060*b527*b556 + 8640*b527*
    b557 + 134*b527*b558 + 2278*b527*b559 + 6432*b527*b560 + 162*b527*b561 + 
    2754*b527*b562 + 7776*b527*b563 + 6*b527*b564 + 102*b527*b565 + 288*b527*
    b566 + 84*b527*b567 + 1428*b527*b568 + 4032*b527*b569 + 52*b527*b570 + 884*
    b527*b571 + 2496*b527*b572 + 160*b527*b573 + 2720*b527*b574 + 7680*b527*
    b575 + 112*b527*b576 + 1904*b527*b577 + 5376*b527*b578 + 26*b527*b579 + 442
    *b527*b580 + 1248*b527*b581 + 58*b527*b582 + 986*b527*b583 + 2784*b527*b584
     + 60*b527*b585 + 1020*b527*b586 + 2880*b527*b587 + 74*b527*b588 + 1258*
    b527*b589 + 3552*b527*b590 + 6*b527*b591 + 102*b527*b592 + 288*b527*b593 + 
    34*b527*b594 + 578*b527*b595 + 1632*b527*b596 + 208*b527*b600 + 4680*b527*
    b601 + 1872*b527*b602 + 2912*b527*b603 + 2496*b527*b604 + 2080*b527*b605 + 
    2028*b527*b606 + 4420*b527*b607 + 4264*b527*b608 + 4992*b527*b609 + 2236*
    b527*b610 + 156*b527*b612 + 3224*b527*b613 + 884*b527*b614 + 3224*b527*b615
     + 1872*b527*b616 + 1924*b527*b617 + 2756*b527*b619 + 4992*b527*b620 + 4264
    *b527*b621 + 2496*b527*b622 + 3172*b527*b623 + 14*b527*b624 + 238*b527*b625
     + 672*b527*b626 + 14790*b528*b531 + 13398*b528*b532 + 13050*b528*b533 + 
    10540*b528*b534 + 9548*b528*b535 + 9300*b528*b536 + 3060*b528*b537 + 2772*
    b528*b538 + 2700*b528*b539 + 11220*b528*b540 + 10164*b528*b541 + 9900*b528*
    b542 + 2040*b528*b543 + 1848*b528*b544 + 1800*b528*b545 + 12580*b528*b546
     + 11396*b528*b547 + 11100*b528*b548 + 12070*b528*b549 + 10934*b528*b550 + 
    10650*b528*b551 + 1360*b528*b552 + 1232*b528*b553 + 1200*b528*b554 + 15300*
    b528*b555 + 13860*b528*b556 + 13500*b528*b557 + 11390*b528*b558 + 10318*
    b528*b559 + 10050*b528*b560 + 13770*b528*b561 + 12474*b528*b562 + 12150*
    b528*b563 + 510*b528*b564 + 462*b528*b565 + 450*b528*b566 + 7140*b528*b567
     + 6468*b528*b568 + 6300*b528*b569 + 4420*b528*b570 + 4004*b528*b571 + 3900
    *b528*b572 + 13600*b528*b573 + 12320*b528*b574 + 12000*b528*b575 + 9520*
    b528*b576 + 8624*b528*b577 + 8400*b528*b578 + 2210*b528*b579 + 2002*b528*
    b580 + 1950*b528*b581 + 4930*b528*b582 + 4466*b528*b583 + 4350*b528*b584 + 
    5100*b528*b585 + 4620*b528*b586 + 4500*b528*b587 + 6290*b528*b588 + 5698*
    b528*b589 + 5550*b528*b590 + 510*b528*b591 + 462*b528*b592 + 450*b528*b593
     + 2890*b528*b594 + 2618*b528*b595 + 2550*b528*b596 + 1872*b528*b600 + 2652
    *b528*b601 + 2756*b528*b602 + 3640*b528*b603 + 728*b528*b604 + 3432*b528*
    b605 + 2756*b528*b606 + 3744*b528*b607 + 2288*b528*b608 + 364*b528*b609 + 
    5044*b528*b610 + 2652*b528*b612 + 1456*b528*b613 + 4004*b528*b614 + 3224*
    b528*b615 + 104*b528*b616 + 2548*b528*b617 + 2756*b528*b618 + 1456*b528*
    b620 + 1612*b528*b621 + 3900*b528*b622 + 1872*b528*b623 + 1190*b528*b624 + 
    1078*b528*b625 + 1050*b528*b626 + 14616*b529*b531 + 7656*b529*b532 + 16530*
    b529*b533 + 10416*b529*b534 + 5456*b529*b535 + 11780*b529*b536 + 3024*b529*
    b537 + 1584*b529*b538 + 3420*b529*b539 + 11088*b529*b540 + 5808*b529*b541
     + 12540*b529*b542 + 2016*b529*b543 + 1056*b529*b544 + 2280*b529*b545 + 
    12432*b529*b546 + 6512*b529*b547 + 14060*b529*b548 + 11928*b529*b549 + 6248
    *b529*b550 + 13490*b529*b551 + 1344*b529*b552 + 704*b529*b553 + 1520*b529*
    b554 + 15120*b529*b555 + 7920*b529*b556 + 17100*b529*b557 + 11256*b529*b558
     + 5896*b529*b559 + 12730*b529*b560 + 13608*b529*b561 + 7128*b529*b562 + 
    15390*b529*b563 + 504*b529*b564 + 264*b529*b565 + 570*b529*b566 + 7056*b529
    *b567 + 3696*b529*b568 + 7980*b529*b569 + 4368*b529*b570 + 2288*b529*b571
     + 4940*b529*b572 + 13440*b529*b573 + 7040*b529*b574 + 15200*b529*b575 + 
    9408*b529*b576 + 4928*b529*b577 + 10640*b529*b578 + 2184*b529*b579 + 1144*
    b529*b580 + 2470*b529*b581 + 4872*b529*b582 + 2552*b529*b583 + 5510*b529*
    b584 + 5040*b529*b585 + 2640*b529*b586 + 5700*b529*b587 + 6216*b529*b588 + 
    3256*b529*b589 + 7030*b529*b590 + 504*b529*b591 + 264*b529*b592 + 570*b529*
    b593 + 2856*b529*b594 + 1496*b529*b595 + 3230*b529*b596 + 1404*b529*b600 + 
    156*b529*b601 + 1924*b529*b602 + 5148*b529*b603 + 4628*b529*b604 + 3016*
    b529*b605 + 4004*b529*b606 + 364*b529*b607 + 1820*b529*b608 + 4524*b529*
    b609 + 1716*b529*b610 + 2496*b529*b611 + 3484*b529*b612 + 3952*b529*b613 + 
    2288*b529*b614 + 4316*b529*b615 + 104*b529*b616 + 3172*b529*b617 + 4992*
    b529*b618 + 1456*b529*b619 + 52*b529*b621 + 4940*b529*b622 + 1092*b529*b623
     + 1176*b529*b624 + 616*b529*b625 + 1330*b529*b626 + 2088*b530*b531 + 4524*
    b530*b532 + 1218*b530*b533 + 1488*b530*b534 + 3224*b530*b535 + 868*b530*
    b536 + 432*b530*b537 + 936*b530*b538 + 252*b530*b539 + 1584*b530*b540 + 
    3432*b530*b541 + 924*b530*b542 + 288*b530*b543 + 624*b530*b544 + 168*b530*
    b545 + 1776*b530*b546 + 3848*b530*b547 + 1036*b530*b548 + 1704*b530*b549 + 
    3692*b530*b550 + 994*b530*b551 + 192*b530*b552 + 416*b530*b553 + 112*b530*
    b554 + 2160*b530*b555 + 4680*b530*b556 + 1260*b530*b557 + 1608*b530*b558 + 
    3484*b530*b559 + 938*b530*b560 + 1944*b530*b561 + 4212*b530*b562 + 1134*
    b530*b563 + 72*b530*b564 + 156*b530*b565 + 42*b530*b566 + 1008*b530*b567 + 
    2184*b530*b568 + 588*b530*b569 + 624*b530*b570 + 1352*b530*b571 + 364*b530*
    b572 + 1920*b530*b573 + 4160*b530*b574 + 1120*b530*b575 + 1344*b530*b576 + 
    2912*b530*b577 + 784*b530*b578 + 312*b530*b579 + 676*b530*b580 + 182*b530*
    b581 + 696*b530*b582 + 1508*b530*b583 + 406*b530*b584 + 720*b530*b585 + 
    1560*b530*b586 + 420*b530*b587 + 888*b530*b588 + 1924*b530*b589 + 518*b530*
    b590 + 72*b530*b591 + 156*b530*b592 + 42*b530*b593 + 408*b530*b594 + 884*
    b530*b595 + 238*b530*b596 + 4420*b530*b600 + 2496*b530*b601 + 1352*b530*
    b602 + 3120*b530*b603 + 2288*b530*b604 + 1560*b530*b605 + 2600*b530*b606 + 
    2548*b530*b607 + 156*b530*b608 + 3536*b530*b609 + 1820*b530*b610 + 3224*
    b530*b611 + 2028*b530*b612 + 3432*b530*b613 + 1352*b530*b614 + 4732*b530*
    b615 + 2236*b530*b616 + 260*b530*b617 + 4264*b530*b618 + 1612*b530*b619 + 
    52*b530*b620 + 364*b530*b622 + 3692*b530*b623 + 168*b530*b624 + 364*b530*
    b625 + 98*b530*b626 + 13110*b531*b600 + 11316*b531*b601 + 7728*b531*b602 + 
    5658*b531*b603 + 828*b531*b604 + 3450*b531*b605 + 1380*b531*b606 + 552*b531
    *b607 + 8694*b531*b608 + 828*b531*b609 + 6072*b531*b610 + 5520*b531*b611 + 
    10350*b531*b612 + 10902*b531*b613 + 12282*b531*b615 + 4830*b531*b616 + 1242
    *b531*b617 + 138*b531*b618 + 11730*b531*b619 + 11592*b531*b620 + 1656*b531*
    b621 + 2898*b531*b623 + 14288*b532*b536 + 2888*b532*b539 + 8208*b532*b542
     + 5624*b532*b545 + 3040*b532*b551 + 1824*b532*b554 + 1672*b532*b557 + 
    10032*b532*b560 + 12768*b532*b563 + 12160*b532*b566 + 152*b532*b569 + 8360*
    b532*b572 + 1368*b532*b575 + 3192*b532*b578 + 1824*b532*b581 + 9880*b532*
    b584 + 1064*b532*b587 + 2584*b532*b590 + 7752*b532*b593 + 12768*b532*b596
     + 13224*b532*b599 + 12834*b532*b600 + 9936*b532*b601 + 11454*b532*b602 + 
    10902*b532*b603 + 552*b532*b604 + 6348*b532*b605 + 1104*b532*b606 + 7314*
    b532*b607 + 2898*b532*b608 + 5382*b532*b609 + 6210*b532*b610 + 5934*b532*
    b611 + 12972*b532*b612 + 9108*b532*b613 + 13524*b532*b615 + 4830*b532*b616
     + 2070*b532*b617 + 2346*b532*b618 + 10626*b532*b619 + 6072*b532*b620 + 
    3588*b532*b621 + 10488*b532*b622 + 5382*b532*b623 + 12008*b532*b626 + 14288
    *b533*b535 + 2888*b533*b538 + 8208*b533*b541 + 5624*b533*b544 + 3040*b533*
    b550 + 1824*b533*b553 + 1672*b533*b556 + 10032*b533*b559 + 12768*b533*b562
     + 12160*b533*b565 + 152*b533*b568 + 8360*b533*b571 + 1368*b533*b574 + 3192
    *b533*b577 + 1824*b533*b580 + 9880*b533*b583 + 1064*b533*b586 + 2584*b533*
    b589 + 7752*b533*b592 + 12768*b533*b595 + 13224*b533*b598 + 276*b533*b600
     + 4002*b533*b601 + 12006*b533*b602 + 552*b533*b603 + 8142*b533*b604 + 9384
    *b533*b605 + 4140*b533*b606 + 6348*b533*b607 + 8556*b533*b608 + 4554*b533*
    b609 + 8418*b533*b610 + 8142*b533*b611 + 2070*b533*b612 + 11316*b533*b613
     + 10488*b533*b614 + 7866*b533*b615 + 8970*b533*b616 + 4692*b533*b617 + 
    6624*b533*b618 + 10350*b533*b619 + 13110*b533*b620 + 966*b533*b621 + 1518*
    b533*b623 + 12008*b533*b625 + 11780*b534*b600 + 10168*b534*b601 + 6944*b534
    *b602 + 5084*b534*b603 + 744*b534*b604 + 3100*b534*b605 + 1240*b534*b606 + 
    496*b534*b607 + 7812*b534*b608 + 744*b534*b609 + 5456*b534*b610 + 4960*b534
    *b611 + 9300*b534*b612 + 9796*b534*b613 + 11036*b534*b615 + 4340*b534*b616
     + 1116*b534*b617 + 124*b534*b618 + 10540*b534*b619 + 10416*b534*b620 + 
    1488*b534*b621 + 2604*b534*b623 + 304*b535*b539 + 4104*b535*b542 + 12464*
    b535*b545 + 10792*b535*b548 + 10792*b535*b551 + 6080*b535*b554 + 14136*b535
    *b557 + 4104*b535*b560 + 14136*b535*b563 + 13984*b535*b566 + 5168*b535*b569
     + 5928*b535*b572 + 4712*b535*b575 + 3952*b535*b578 + 152*b535*b581 + 13224
    *b535*b584 + 10944*b535*b587 + 8968*b535*b590 + 14744*b535*b593 + 6992*b535
    *b596 + 9424*b535*b599 + 11532*b535*b600 + 8928*b535*b601 + 10292*b535*b602
     + 9796*b535*b603 + 496*b535*b604 + 5704*b535*b605 + 992*b535*b606 + 6572*
    b535*b607 + 2604*b535*b608 + 4836*b535*b609 + 5580*b535*b610 + 5332*b535*
    b611 + 11656*b535*b612 + 8184*b535*b613 + 12152*b535*b615 + 4340*b535*b616
     + 1860*b535*b617 + 2108*b535*b618 + 9548*b535*b619 + 5456*b535*b620 + 3224
    *b535*b621 + 9424*b535*b622 + 4836*b535*b623 + 14896*b535*b626 + 304*b536*
    b538 + 4104*b536*b541 + 12464*b536*b544 + 10792*b536*b547 + 10792*b536*b550
     + 6080*b536*b553 + 14136*b536*b556 + 4104*b536*b559 + 14136*b536*b562 + 
    13984*b536*b565 + 5168*b536*b568 + 5928*b536*b571 + 4712*b536*b574 + 3952*
    b536*b577 + 152*b536*b580 + 13224*b536*b583 + 10944*b536*b586 + 8968*b536*
    b589 + 14744*b536*b592 + 6992*b536*b595 + 9424*b536*b598 + 248*b536*b600 + 
    3596*b536*b601 + 10788*b536*b602 + 496*b536*b603 + 7316*b536*b604 + 8432*
    b536*b605 + 3720*b536*b606 + 5704*b536*b607 + 7688*b536*b608 + 4092*b536*
    b609 + 7564*b536*b610 + 7316*b536*b611 + 1860*b536*b612 + 10168*b536*b613
     + 9424*b536*b614 + 7068*b536*b615 + 8060*b536*b616 + 4216*b536*b617 + 5952
    *b536*b618 + 9300*b536*b619 + 11780*b536*b620 + 868*b536*b621 + 1364*b536*
    b623 + 14896*b536*b625 + 6080*b537*b600 + 5248*b537*b601 + 3584*b537*b602
     + 2624*b537*b603 + 384*b537*b604 + 1600*b537*b605 + 640*b537*b606 + 256*
    b537*b607 + 4032*b537*b608 + 384*b537*b609 + 2816*b537*b610 + 2560*b537*
    b611 + 4800*b537*b612 + 5056*b537*b613 + 5696*b537*b615 + 2240*b537*b616 + 
    576*b537*b617 + 64*b537*b618 + 5440*b537*b619 + 5376*b537*b620 + 768*b537*
    b621 + 1344*b537*b623 + 1824*b538*b542 + 13832*b538*b545 + 9576*b538*b548
     + 10640*b538*b551 + 152*b538*b554 + 3344*b538*b557 + 7448*b538*b560 + 3648
    *b538*b563 + 8816*b538*b566 + 9424*b538*b569 + 7448*b538*b572 + 14288*b538*
    b575 + 13984*b538*b578 + 9576*b538*b581 + 1976*b538*b584 + 6840*b538*b587
     + 3344*b538*b590 + 10488*b538*b593 + 10640*b538*b596 + 2736*b538*b599 + 
    5952*b538*b600 + 4608*b538*b601 + 5312*b538*b602 + 5056*b538*b603 + 256*
    b538*b604 + 2944*b538*b605 + 512*b538*b606 + 3392*b538*b607 + 1344*b538*
    b608 + 2496*b538*b609 + 2880*b538*b610 + 2752*b538*b611 + 6016*b538*b612 + 
    4224*b538*b613 + 6272*b538*b615 + 2240*b538*b616 + 960*b538*b617 + 1088*
    b538*b618 + 4928*b538*b619 + 2816*b538*b620 + 1664*b538*b621 + 4864*b538*
    b622 + 2496*b538*b623 + 9120*b538*b626 + 1824*b539*b541 + 13832*b539*b544
     + 9576*b539*b547 + 10640*b539*b550 + 152*b539*b553 + 3344*b539*b556 + 7448
    *b539*b559 + 3648*b539*b562 + 8816*b539*b565 + 9424*b539*b568 + 7448*b539*
    b571 + 14288*b539*b574 + 13984*b539*b577 + 9576*b539*b580 + 1976*b539*b583
     + 6840*b539*b586 + 3344*b539*b589 + 10488*b539*b592 + 10640*b539*b595 + 
    2736*b539*b598 + 128*b539*b600 + 1856*b539*b601 + 5568*b539*b602 + 256*b539
    *b603 + 3776*b539*b604 + 4352*b539*b605 + 1920*b539*b606 + 2944*b539*b607
     + 3968*b539*b608 + 2112*b539*b609 + 3904*b539*b610 + 3776*b539*b611 + 960*
    b539*b612 + 5248*b539*b613 + 4864*b539*b614 + 3648*b539*b615 + 4160*b539*
    b616 + 2176*b539*b617 + 3072*b539*b618 + 4800*b539*b619 + 6080*b539*b620 + 
    448*b539*b621 + 704*b539*b623 + 9120*b539*b625 + 18430*b540*b600 + 15908*
    b540*b601 + 10864*b540*b602 + 7954*b540*b603 + 1164*b540*b604 + 4850*b540*
    b605 + 1940*b540*b606 + 776*b540*b607 + 12222*b540*b608 + 1164*b540*b609 + 
    8536*b540*b610 + 7760*b540*b611 + 14550*b540*b612 + 15326*b540*b613 + 17266
    *b540*b615 + 6790*b540*b616 + 1746*b540*b617 + 194*b540*b618 + 16490*b540*
    b619 + 16296*b540*b620 + 2328*b540*b621 + 4074*b540*b623 + 152*b541*b545 + 
    6688*b541*b548 + 4864*b541*b551 + 456*b541*b554 + 10944*b541*b557 + 15048*
    b541*b560 + 5168*b541*b563 + 6840*b541*b566 + 2736*b541*b569 + 14592*b541*
    b572 + 12464*b541*b575 + 12008*b541*b578 + 11400*b541*b581 + 12616*b541*
    b584 + 6536*b541*b587 + 3952*b541*b590 + 12312*b541*b593 + 5928*b541*b596
     + 10032*b541*b599 + 18042*b541*b600 + 13968*b541*b601 + 16102*b541*b602 + 
    15326*b541*b603 + 776*b541*b604 + 8924*b541*b605 + 1552*b541*b606 + 10282*
    b541*b607 + 4074*b541*b608 + 7566*b541*b609 + 8730*b541*b610 + 8342*b541*
    b611 + 18236*b541*b612 + 12804*b541*b613 + 19012*b541*b615 + 6790*b541*b616
     + 2910*b541*b617 + 3298*b541*b618 + 14938*b541*b619 + 8536*b541*b620 + 
    5044*b541*b621 + 14744*b541*b622 + 7566*b541*b623 + 5320*b541*b626 + 152*
    b542*b544 + 6688*b542*b547 + 4864*b542*b550 + 456*b542*b553 + 10944*b542*
    b556 + 15048*b542*b559 + 5168*b542*b562 + 6840*b542*b565 + 2736*b542*b568
     + 14592*b542*b571 + 12464*b542*b574 + 12008*b542*b577 + 11400*b542*b580 + 
    12616*b542*b583 + 6536*b542*b586 + 3952*b542*b589 + 12312*b542*b592 + 5928*
    b542*b595 + 10032*b542*b598 + 388*b542*b600 + 5626*b542*b601 + 16878*b542*
    b602 + 776*b542*b603 + 11446*b542*b604 + 13192*b542*b605 + 5820*b542*b606
     + 8924*b542*b607 + 12028*b542*b608 + 6402*b542*b609 + 11834*b542*b610 + 
    11446*b542*b611 + 2910*b542*b612 + 15908*b542*b613 + 14744*b542*b614 + 
    11058*b542*b615 + 12610*b542*b616 + 6596*b542*b617 + 9312*b542*b618 + 14550
    *b542*b619 + 18430*b542*b620 + 1358*b542*b621 + 2134*b542*b623 + 5320*b542*
    b625 + 950*b543*b600 + 820*b543*b601 + 560*b543*b602 + 410*b543*b603 + 60*
    b543*b604 + 250*b543*b605 + 100*b543*b606 + 40*b543*b607 + 630*b543*b608 + 
    60*b543*b609 + 440*b543*b610 + 400*b543*b611 + 750*b543*b612 + 790*b543*
    b613 + 890*b543*b615 + 350*b543*b616 + 90*b543*b617 + 10*b543*b618 + 850*
    b543*b619 + 840*b543*b620 + 120*b543*b621 + 210*b543*b623 + 3344*b544*b548
     + 10792*b544*b551 + 8816*b544*b554 + 6384*b544*b557 + 13832*b544*b560 + 
    8512*b544*b563 + 4104*b544*b566 + 8512*b544*b569 + 4256*b544*b572 + 9728*
    b544*b575 + 14896*b544*b578 + 10488*b544*b581 + 10488*b544*b584 + 14136*
    b544*b587 + 5320*b544*b590 + 6232*b544*b593 + 10184*b544*b596 + 1824*b544*
    b599 + 930*b544*b600 + 720*b544*b601 + 830*b544*b602 + 790*b544*b603 + 40*
    b544*b604 + 460*b544*b605 + 80*b544*b606 + 530*b544*b607 + 210*b544*b608 + 
    390*b544*b609 + 450*b544*b610 + 430*b544*b611 + 940*b544*b612 + 660*b544*
    b613 + 980*b544*b615 + 350*b544*b616 + 150*b544*b617 + 170*b544*b618 + 770*
    b544*b619 + 440*b544*b620 + 260*b544*b621 + 760*b544*b622 + 390*b544*b623
     + 1368*b544*b626 + 3344*b545*b547 + 10792*b545*b550 + 8816*b545*b553 + 
    6384*b545*b556 + 13832*b545*b559 + 8512*b545*b562 + 4104*b545*b565 + 8512*
    b545*b568 + 4256*b545*b571 + 9728*b545*b574 + 14896*b545*b577 + 10488*b545*
    b580 + 10488*b545*b583 + 14136*b545*b586 + 5320*b545*b589 + 6232*b545*b592
     + 10184*b545*b595 + 1824*b545*b598 + 20*b545*b600 + 290*b545*b601 + 870*
    b545*b602 + 40*b545*b603 + 590*b545*b604 + 680*b545*b605 + 300*b545*b606 + 
    460*b545*b607 + 620*b545*b608 + 330*b545*b609 + 610*b545*b610 + 590*b545*
    b611 + 150*b545*b612 + 820*b545*b613 + 760*b545*b614 + 570*b545*b615 + 650*
    b545*b616 + 340*b545*b617 + 480*b545*b618 + 750*b545*b619 + 950*b545*b620
     + 70*b545*b621 + 110*b545*b623 + 1368*b545*b625 + 7410*b546*b600 + 6396*
    b546*b601 + 4368*b546*b602 + 3198*b546*b603 + 468*b546*b604 + 1950*b546*
    b605 + 780*b546*b606 + 312*b546*b607 + 4914*b546*b608 + 468*b546*b609 + 
    3432*b546*b610 + 3120*b546*b611 + 5850*b546*b612 + 6162*b546*b613 + 6942*
    b546*b615 + 2730*b546*b616 + 702*b546*b617 + 78*b546*b618 + 6630*b546*b619
     + 6552*b546*b620 + 936*b546*b621 + 1638*b546*b623 + 5016*b547*b551 + 152*
    b547*b554 + 10792*b547*b557 + 10944*b547*b560 + 3952*b547*b563 + 13072*b547
    *b566 + 10184*b547*b569 + 10184*b547*b572 + 3648*b547*b575 + 1520*b547*b578
     + 6992*b547*b581 + 8512*b547*b584 + 8512*b547*b587 + 10488*b547*b590 + 
    8056*b547*b593 + 7296*b547*b596 + 11248*b547*b599 + 7254*b547*b600 + 5616*
    b547*b601 + 6474*b547*b602 + 6162*b547*b603 + 312*b547*b604 + 3588*b547*
    b605 + 624*b547*b606 + 4134*b547*b607 + 1638*b547*b608 + 3042*b547*b609 + 
    3510*b547*b610 + 3354*b547*b611 + 7332*b547*b612 + 5148*b547*b613 + 7644*
    b547*b615 + 2730*b547*b616 + 1170*b547*b617 + 1326*b547*b618 + 6006*b547*
    b619 + 3432*b547*b620 + 2028*b547*b621 + 5928*b547*b622 + 3042*b547*b623 + 
    14592*b547*b626 + 5016*b548*b550 + 152*b548*b553 + 10792*b548*b556 + 10944*
    b548*b559 + 3952*b548*b562 + 13072*b548*b565 + 10184*b548*b568 + 10184*b548
    *b571 + 3648*b548*b574 + 1520*b548*b577 + 6992*b548*b580 + 8512*b548*b583
     + 8512*b548*b586 + 10488*b548*b589 + 8056*b548*b592 + 7296*b548*b595 + 
    11248*b548*b598 + 156*b548*b600 + 2262*b548*b601 + 6786*b548*b602 + 312*
    b548*b603 + 4602*b548*b604 + 5304*b548*b605 + 2340*b548*b606 + 3588*b548*
    b607 + 4836*b548*b608 + 2574*b548*b609 + 4758*b548*b610 + 4602*b548*b611 + 
    1170*b548*b612 + 6396*b548*b613 + 5928*b548*b614 + 4446*b548*b615 + 5070*
    b548*b616 + 2652*b548*b617 + 3744*b548*b618 + 5850*b548*b619 + 7410*b548*
    b620 + 546*b548*b621 + 858*b548*b623 + 14592*b548*b625 + 9500*b549*b600 + 
    8200*b549*b601 + 5600*b549*b602 + 4100*b549*b603 + 600*b549*b604 + 2500*
    b549*b605 + 1000*b549*b606 + 400*b549*b607 + 6300*b549*b608 + 600*b549*b609
     + 4400*b549*b610 + 4000*b549*b611 + 7500*b549*b612 + 7900*b549*b613 + 8900
    *b549*b615 + 3500*b549*b616 + 900*b549*b617 + 100*b549*b618 + 8500*b549*
    b619 + 8400*b549*b620 + 1200*b549*b621 + 2100*b549*b623 + 6536*b550*b554 + 
    14288*b550*b557 + 4408*b550*b560 + 9728*b550*b563 + 14744*b550*b566 + 5776*
    b550*b569 + 1824*b550*b572 + 15048*b550*b575 + 7752*b550*b578 + 13224*b550*
    b581 + 11552*b550*b584 + 10792*b550*b587 + 7144*b550*b590 + 7144*b550*b593
     + 1368*b550*b596 + 10792*b550*b599 + 9300*b550*b600 + 7200*b550*b601 + 
    8300*b550*b602 + 7900*b550*b603 + 400*b550*b604 + 4600*b550*b605 + 800*b550
    *b606 + 5300*b550*b607 + 2100*b550*b608 + 3900*b550*b609 + 4500*b550*b610
     + 4300*b550*b611 + 9400*b550*b612 + 6600*b550*b613 + 9800*b550*b615 + 3500
    *b550*b616 + 1500*b550*b617 + 1700*b550*b618 + 7700*b550*b619 + 4400*b550*
    b620 + 2600*b550*b621 + 7600*b550*b622 + 3900*b550*b623 + 10640*b550*b626
     + 6536*b551*b553 + 14288*b551*b556 + 4408*b551*b559 + 9728*b551*b562 + 
    14744*b551*b565 + 5776*b551*b568 + 1824*b551*b571 + 15048*b551*b574 + 7752*
    b551*b577 + 13224*b551*b580 + 11552*b551*b583 + 10792*b551*b586 + 7144*b551
    *b589 + 7144*b551*b592 + 1368*b551*b595 + 10792*b551*b598 + 200*b551*b600
     + 2900*b551*b601 + 8700*b551*b602 + 400*b551*b603 + 5900*b551*b604 + 6800*
    b551*b605 + 3000*b551*b606 + 4600*b551*b607 + 6200*b551*b608 + 3300*b551*
    b609 + 6100*b551*b610 + 5900*b551*b611 + 1500*b551*b612 + 8200*b551*b613 + 
    7600*b551*b614 + 5700*b551*b615 + 6500*b551*b616 + 3400*b551*b617 + 4800*
    b551*b618 + 7500*b551*b619 + 9500*b551*b620 + 700*b551*b621 + 1100*b551*
    b623 + 10640*b551*b625 + 15580*b552*b600 + 13448*b552*b601 + 9184*b552*b602
     + 6724*b552*b603 + 984*b552*b604 + 4100*b552*b605 + 1640*b552*b606 + 656*
    b552*b607 + 10332*b552*b608 + 984*b552*b609 + 7216*b552*b610 + 6560*b552*
    b611 + 12300*b552*b612 + 12956*b552*b613 + 14596*b552*b615 + 5740*b552*b616
     + 1476*b552*b617 + 164*b552*b618 + 13940*b552*b619 + 13776*b552*b620 + 
    1968*b552*b621 + 3444*b552*b623 + 3040*b553*b557 + 12312*b553*b560 + 15048*
    b553*b563 + 6840*b553*b566 + 8512*b553*b569 + 2280*b553*b572 + 15048*b553*
    b575 + 9728*b553*b578 + 8664*b553*b581 + 12768*b553*b584 + 12616*b553*b587
     + 9272*b553*b590 + 3800*b553*b593 + 6232*b553*b596 + 1216*b553*b599 + 
    15252*b553*b600 + 11808*b553*b601 + 13612*b553*b602 + 12956*b553*b603 + 656
    *b553*b604 + 7544*b553*b605 + 1312*b553*b606 + 8692*b553*b607 + 3444*b553*
    b608 + 6396*b553*b609 + 7380*b553*b610 + 7052*b553*b611 + 15416*b553*b612
     + 10824*b553*b613 + 16072*b553*b615 + 5740*b553*b616 + 2460*b553*b617 + 
    2788*b553*b618 + 12628*b553*b619 + 7216*b553*b620 + 4264*b553*b621 + 12464*
    b553*b622 + 6396*b553*b623 + 3192*b553*b626 + 3040*b554*b556 + 12312*b554*
    b559 + 15048*b554*b562 + 6840*b554*b565 + 8512*b554*b568 + 2280*b554*b571
     + 15048*b554*b574 + 9728*b554*b577 + 8664*b554*b580 + 12768*b554*b583 + 
    12616*b554*b586 + 9272*b554*b589 + 3800*b554*b592 + 6232*b554*b595 + 1216*
    b554*b598 + 328*b554*b600 + 4756*b554*b601 + 14268*b554*b602 + 656*b554*
    b603 + 9676*b554*b604 + 11152*b554*b605 + 4920*b554*b606 + 7544*b554*b607
     + 10168*b554*b608 + 5412*b554*b609 + 10004*b554*b610 + 9676*b554*b611 + 
    2460*b554*b612 + 13448*b554*b613 + 12464*b554*b614 + 9348*b554*b615 + 10660
    *b554*b616 + 5576*b554*b617 + 7872*b554*b618 + 12300*b554*b619 + 15580*b554
    *b620 + 1148*b554*b621 + 1804*b554*b623 + 3192*b554*b625 + 17670*b555*b600
     + 15252*b555*b601 + 10416*b555*b602 + 7626*b555*b603 + 1116*b555*b604 + 
    4650*b555*b605 + 1860*b555*b606 + 744*b555*b607 + 11718*b555*b608 + 1116*
    b555*b609 + 8184*b555*b610 + 7440*b555*b611 + 13950*b555*b612 + 14694*b555*
    b613 + 16554*b555*b615 + 6510*b555*b616 + 1674*b555*b617 + 186*b555*b618 + 
    15810*b555*b619 + 15624*b555*b620 + 2232*b555*b621 + 3906*b555*b623 + 6992*
    b556*b560 + 7904*b556*b563 + 3344*b556*b566 + 5016*b556*b569 + 10336*b556*
    b572 + 7904*b556*b575 + 4256*b556*b578 + 11400*b556*b581 + 15048*b556*b584
     + 912*b556*b587 + 12920*b556*b590 + 9880*b556*b593 + 7144*b556*b596 + 
    13680*b556*b599 + 17298*b556*b600 + 13392*b556*b601 + 15438*b556*b602 + 
    14694*b556*b603 + 744*b556*b604 + 8556*b556*b605 + 1488*b556*b606 + 9858*
    b556*b607 + 3906*b556*b608 + 7254*b556*b609 + 8370*b556*b610 + 7998*b556*
    b611 + 17484*b556*b612 + 12276*b556*b613 + 18228*b556*b615 + 6510*b556*b616
     + 2790*b556*b617 + 3162*b556*b618 + 14322*b556*b619 + 8184*b556*b620 + 
    4836*b556*b621 + 14136*b556*b622 + 7254*b556*b623 + 5624*b556*b626 + 6992*
    b557*b559 + 7904*b557*b562 + 3344*b557*b565 + 5016*b557*b568 + 10336*b557*
    b571 + 7904*b557*b574 + 4256*b557*b577 + 11400*b557*b580 + 15048*b557*b583
     + 912*b557*b586 + 12920*b557*b589 + 9880*b557*b592 + 7144*b557*b595 + 
    13680*b557*b598 + 372*b557*b600 + 5394*b557*b601 + 16182*b557*b602 + 744*
    b557*b603 + 10974*b557*b604 + 12648*b557*b605 + 5580*b557*b606 + 8556*b557*
    b607 + 11532*b557*b608 + 6138*b557*b609 + 11346*b557*b610 + 10974*b557*b611
     + 2790*b557*b612 + 15252*b557*b613 + 14136*b557*b614 + 10602*b557*b615 + 
    12090*b557*b616 + 6324*b557*b617 + 8928*b557*b618 + 13950*b557*b619 + 17670
    *b557*b620 + 1302*b557*b621 + 2046*b557*b623 + 5624*b557*b625 + 13490*b558*
    b600 + 11644*b558*b601 + 7952*b558*b602 + 5822*b558*b603 + 852*b558*b604 + 
    3550*b558*b605 + 1420*b558*b606 + 568*b558*b607 + 8946*b558*b608 + 852*b558
    *b609 + 6248*b558*b610 + 5680*b558*b611 + 10650*b558*b612 + 11218*b558*b613
     + 12638*b558*b615 + 4970*b558*b616 + 1278*b558*b617 + 142*b558*b618 + 
    12070*b558*b619 + 11928*b558*b620 + 1704*b558*b621 + 2982*b558*b623 + 3648*
    b559*b563 + 12008*b559*b566 + 10640*b559*b569 + 4256*b559*b572 + 2888*b559*
    b575 + 13224*b559*b578 + 12160*b559*b581 + 608*b559*b584 + 3192*b559*b587
     + 5168*b559*b590 + 1824*b559*b593 + 3040*b559*b596 + 10184*b559*b599 + 
    13206*b559*b600 + 10224*b559*b601 + 11786*b559*b602 + 11218*b559*b603 + 568
    *b559*b604 + 6532*b559*b605 + 1136*b559*b606 + 7526*b559*b607 + 2982*b559*
    b608 + 5538*b559*b609 + 6390*b559*b610 + 6106*b559*b611 + 13348*b559*b612
     + 9372*b559*b613 + 13916*b559*b615 + 4970*b559*b616 + 2130*b559*b617 + 
    2414*b559*b618 + 10934*b559*b619 + 6248*b559*b620 + 3692*b559*b621 + 10792*
    b559*b622 + 5538*b559*b623 + 5624*b559*b626 + 3648*b560*b562 + 12008*b560*
    b565 + 10640*b560*b568 + 4256*b560*b571 + 2888*b560*b574 + 13224*b560*b577
     + 12160*b560*b580 + 608*b560*b583 + 3192*b560*b586 + 5168*b560*b589 + 1824
    *b560*b592 + 3040*b560*b595 + 10184*b560*b598 + 284*b560*b600 + 4118*b560*
    b601 + 12354*b560*b602 + 568*b560*b603 + 8378*b560*b604 + 9656*b560*b605 + 
    4260*b560*b606 + 6532*b560*b607 + 8804*b560*b608 + 4686*b560*b609 + 8662*
    b560*b610 + 8378*b560*b611 + 2130*b560*b612 + 11644*b560*b613 + 10792*b560*
    b614 + 8094*b560*b615 + 9230*b560*b616 + 4828*b560*b617 + 6816*b560*b618 + 
    10650*b560*b619 + 13490*b560*b620 + 994*b560*b621 + 1562*b560*b623 + 5624*
    b560*b625 + 6650*b561*b600 + 5740*b561*b601 + 3920*b561*b602 + 2870*b561*
    b603 + 420*b561*b604 + 1750*b561*b605 + 700*b561*b606 + 280*b561*b607 + 
    4410*b561*b608 + 420*b561*b609 + 3080*b561*b610 + 2800*b561*b611 + 5250*
    b561*b612 + 5530*b561*b613 + 6230*b561*b615 + 2450*b561*b616 + 630*b561*
    b617 + 70*b561*b618 + 5950*b561*b619 + 5880*b561*b620 + 840*b561*b621 + 
    1470*b561*b623 + 3648*b562*b566 + 14288*b562*b569 + 1520*b562*b572 + 9728*
    b562*b575 + 7904*b562*b578 + 13984*b562*b581 + 7448*b562*b584 + 10336*b562*
    b587 + 9880*b562*b590 + 10032*b562*b593 + 4256*b562*b596 + 12312*b562*b599
     + 6510*b562*b600 + 5040*b562*b601 + 5810*b562*b602 + 5530*b562*b603 + 280*
    b562*b604 + 3220*b562*b605 + 560*b562*b606 + 3710*b562*b607 + 1470*b562*
    b608 + 2730*b562*b609 + 3150*b562*b610 + 3010*b562*b611 + 6580*b562*b612 + 
    4620*b562*b613 + 6860*b562*b615 + 2450*b562*b616 + 1050*b562*b617 + 1190*
    b562*b618 + 5390*b562*b619 + 3080*b562*b620 + 1820*b562*b621 + 5320*b562*
    b622 + 2730*b562*b623 + 10184*b562*b626 + 3648*b563*b565 + 14288*b563*b568
     + 1520*b563*b571 + 9728*b563*b574 + 7904*b563*b577 + 13984*b563*b580 + 
    7448*b563*b583 + 10336*b563*b586 + 9880*b563*b589 + 10032*b563*b592 + 4256*
    b563*b595 + 12312*b563*b598 + 140*b563*b600 + 2030*b563*b601 + 6090*b563*
    b602 + 280*b563*b603 + 4130*b563*b604 + 4760*b563*b605 + 2100*b563*b606 + 
    3220*b563*b607 + 4340*b563*b608 + 2310*b563*b609 + 4270*b563*b610 + 4130*
    b563*b611 + 1050*b563*b612 + 5740*b563*b613 + 5320*b563*b614 + 3990*b563*
    b615 + 4550*b563*b616 + 2380*b563*b617 + 3360*b563*b618 + 5250*b563*b619 + 
    6650*b563*b620 + 490*b563*b621 + 770*b563*b623 + 10184*b563*b625 + 2660*
    b564*b600 + 2296*b564*b601 + 1568*b564*b602 + 1148*b564*b603 + 168*b564*
    b604 + 700*b564*b605 + 280*b564*b606 + 112*b564*b607 + 1764*b564*b608 + 168
    *b564*b609 + 1232*b564*b610 + 1120*b564*b611 + 2100*b564*b612 + 2212*b564*
    b613 + 2492*b564*b615 + 980*b564*b616 + 252*b564*b617 + 28*b564*b618 + 2380
    *b564*b619 + 2352*b564*b620 + 336*b564*b621 + 588*b564*b623 + 2584*b565*
    b569 + 8816*b565*b572 + 15048*b565*b575 + 13680*b565*b578 + 10640*b565*b581
     + 2584*b565*b584 + 8664*b565*b587 + 5624*b565*b590 + 304*b565*b593 + 5624*
    b565*b596 + 456*b565*b599 + 2604*b565*b600 + 2016*b565*b601 + 2324*b565*
    b602 + 2212*b565*b603 + 112*b565*b604 + 1288*b565*b605 + 224*b565*b606 + 
    1484*b565*b607 + 588*b565*b608 + 1092*b565*b609 + 1260*b565*b610 + 1204*
    b565*b611 + 2632*b565*b612 + 1848*b565*b613 + 2744*b565*b615 + 980*b565*
    b616 + 420*b565*b617 + 476*b565*b618 + 2156*b565*b619 + 1232*b565*b620 + 
    728*b565*b621 + 2128*b565*b622 + 1092*b565*b623 + 14136*b565*b626 + 2584*
    b566*b568 + 8816*b566*b571 + 15048*b566*b574 + 13680*b566*b577 + 10640*b566
    *b580 + 2584*b566*b583 + 8664*b566*b586 + 5624*b566*b589 + 304*b566*b592 + 
    5624*b566*b595 + 456*b566*b598 + 56*b566*b600 + 812*b566*b601 + 2436*b566*
    b602 + 112*b566*b603 + 1652*b566*b604 + 1904*b566*b605 + 840*b566*b606 + 
    1288*b566*b607 + 1736*b566*b608 + 924*b566*b609 + 1708*b566*b610 + 1652*
    b566*b611 + 420*b566*b612 + 2296*b566*b613 + 2128*b566*b614 + 1596*b566*
    b615 + 1820*b566*b616 + 952*b566*b617 + 1344*b566*b618 + 2100*b566*b619 + 
    2660*b566*b620 + 196*b566*b621 + 308*b566*b623 + 14136*b566*b625 + 3800*
    b567*b600 + 3280*b567*b601 + 2240*b567*b602 + 1640*b567*b603 + 240*b567*
    b604 + 1000*b567*b605 + 400*b567*b606 + 160*b567*b607 + 2520*b567*b608 + 
    240*b567*b609 + 1760*b567*b610 + 1600*b567*b611 + 3000*b567*b612 + 3160*
    b567*b613 + 3560*b567*b615 + 1400*b567*b616 + 360*b567*b617 + 40*b567*b618
     + 3400*b567*b619 + 3360*b567*b620 + 480*b567*b621 + 840*b567*b623 + 6536*
    b568*b572 + 3040*b568*b575 + 10336*b568*b578 + 5320*b568*b581 + 9120*b568*
    b584 + 3496*b568*b587 + 7296*b568*b590 + 6080*b568*b593 + 1520*b568*b596 + 
    6384*b568*b599 + 3720*b568*b600 + 2880*b568*b601 + 3320*b568*b602 + 3160*
    b568*b603 + 160*b568*b604 + 1840*b568*b605 + 320*b568*b606 + 2120*b568*b607
     + 840*b568*b608 + 1560*b568*b609 + 1800*b568*b610 + 1720*b568*b611 + 3760*
    b568*b612 + 2640*b568*b613 + 3920*b568*b615 + 1400*b568*b616 + 600*b568*
    b617 + 680*b568*b618 + 3080*b568*b619 + 1760*b568*b620 + 1040*b568*b621 + 
    3040*b568*b622 + 1560*b568*b623 + 14136*b568*b626 + 6536*b569*b571 + 3040*
    b569*b574 + 10336*b569*b577 + 5320*b569*b580 + 9120*b569*b583 + 3496*b569*
    b586 + 7296*b569*b589 + 6080*b569*b592 + 1520*b569*b595 + 6384*b569*b598 + 
    80*b569*b600 + 1160*b569*b601 + 3480*b569*b602 + 160*b569*b603 + 2360*b569*
    b604 + 2720*b569*b605 + 1200*b569*b606 + 1840*b569*b607 + 2480*b569*b608 + 
    1320*b569*b609 + 2440*b569*b610 + 2360*b569*b611 + 600*b569*b612 + 3280*
    b569*b613 + 3040*b569*b614 + 2280*b569*b615 + 2600*b569*b616 + 1360*b569*
    b617 + 1920*b569*b618 + 3000*b569*b619 + 3800*b569*b620 + 280*b569*b621 + 
    440*b569*b623 + 14136*b569*b625 + 14060*b570*b600 + 12136*b570*b601 + 8288*
    b570*b602 + 6068*b570*b603 + 888*b570*b604 + 3700*b570*b605 + 1480*b570*
    b606 + 592*b570*b607 + 9324*b570*b608 + 888*b570*b609 + 6512*b570*b610 + 
    5920*b570*b611 + 11100*b570*b612 + 11692*b570*b613 + 13172*b570*b615 + 5180
    *b570*b616 + 1332*b570*b617 + 148*b570*b618 + 12580*b570*b619 + 12432*b570*
    b620 + 1776*b570*b621 + 3108*b570*b623 + 12616*b571*b575 + 12464*b571*b578
     + 4104*b571*b581 + 7448*b571*b584 + 2280*b571*b587 + 5168*b571*b590 + 7600
    *b571*b593 + 6384*b571*b596 + 3952*b571*b599 + 13764*b571*b600 + 10656*b571
    *b601 + 12284*b571*b602 + 11692*b571*b603 + 592*b571*b604 + 6808*b571*b605
     + 1184*b571*b606 + 7844*b571*b607 + 3108*b571*b608 + 5772*b571*b609 + 6660
    *b571*b610 + 6364*b571*b611 + 13912*b571*b612 + 9768*b571*b613 + 14504*b571
    *b615 + 5180*b571*b616 + 2220*b571*b617 + 2516*b571*b618 + 11396*b571*b619
     + 6512*b571*b620 + 3848*b571*b621 + 11248*b571*b622 + 5772*b571*b623 + 
    5928*b571*b626 + 12616*b572*b574 + 12464*b572*b577 + 4104*b572*b580 + 7448*
    b572*b583 + 2280*b572*b586 + 5168*b572*b589 + 7600*b572*b592 + 6384*b572*
    b595 + 3952*b572*b598 + 296*b572*b600 + 4292*b572*b601 + 12876*b572*b602 + 
    592*b572*b603 + 8732*b572*b604 + 10064*b572*b605 + 4440*b572*b606 + 6808*
    b572*b607 + 9176*b572*b608 + 4884*b572*b609 + 9028*b572*b610 + 8732*b572*
    b611 + 2220*b572*b612 + 12136*b572*b613 + 11248*b572*b614 + 8436*b572*b615
     + 9620*b572*b616 + 5032*b572*b617 + 7104*b572*b618 + 11100*b572*b619 + 
    14060*b572*b620 + 1036*b572*b621 + 1628*b572*b623 + 5928*b572*b625 + 9310*
    b573*b600 + 8036*b573*b601 + 5488*b573*b602 + 4018*b573*b603 + 588*b573*
    b604 + 2450*b573*b605 + 980*b573*b606 + 392*b573*b607 + 6174*b573*b608 + 
    588*b573*b609 + 4312*b573*b610 + 3920*b573*b611 + 7350*b573*b612 + 7742*
    b573*b613 + 8722*b573*b615 + 3430*b573*b616 + 882*b573*b617 + 98*b573*b618
     + 8330*b573*b619 + 8232*b573*b620 + 1176*b573*b621 + 2058*b573*b623 + 5016
    *b574*b578 + 3496*b574*b581 + 2432*b574*b584 + 10488*b574*b587 + 14744*b574
    *b590 + 1976*b574*b593 + 5320*b574*b596 + 12160*b574*b599 + 9114*b574*b600
     + 7056*b574*b601 + 8134*b574*b602 + 7742*b574*b603 + 392*b574*b604 + 4508*
    b574*b605 + 784*b574*b606 + 5194*b574*b607 + 2058*b574*b608 + 3822*b574*
    b609 + 4410*b574*b610 + 4214*b574*b611 + 9212*b574*b612 + 6468*b574*b613 + 
    9604*b574*b615 + 3430*b574*b616 + 1470*b574*b617 + 1666*b574*b618 + 7546*
    b574*b619 + 4312*b574*b620 + 2548*b574*b621 + 7448*b574*b622 + 3822*b574*
    b623 + 304*b574*b626 + 5016*b575*b577 + 3496*b575*b580 + 2432*b575*b583 + 
    10488*b575*b586 + 14744*b575*b589 + 1976*b575*b592 + 5320*b575*b595 + 12160
    *b575*b598 + 196*b575*b600 + 2842*b575*b601 + 8526*b575*b602 + 392*b575*
    b603 + 5782*b575*b604 + 6664*b575*b605 + 2940*b575*b606 + 4508*b575*b607 + 
    6076*b575*b608 + 3234*b575*b609 + 5978*b575*b610 + 5782*b575*b611 + 1470*
    b575*b612 + 8036*b575*b613 + 7448*b575*b614 + 5586*b575*b615 + 6370*b575*
    b616 + 3332*b575*b617 + 4704*b575*b618 + 7350*b575*b619 + 9310*b575*b620 + 
    686*b575*b621 + 1078*b575*b623 + 304*b575*b625 + 9500*b576*b600 + 8200*b576
    *b601 + 5600*b576*b602 + 4100*b576*b603 + 600*b576*b604 + 2500*b576*b605 + 
    1000*b576*b606 + 400*b576*b607 + 6300*b576*b608 + 600*b576*b609 + 4400*b576
    *b610 + 4000*b576*b611 + 7500*b576*b612 + 7900*b576*b613 + 8900*b576*b615
     + 3500*b576*b616 + 900*b576*b617 + 100*b576*b618 + 8500*b576*b619 + 8400*
    b576*b620 + 1200*b576*b621 + 2100*b576*b623 + 6080*b577*b581 + 8360*b577*
    b584 + 4560*b577*b587 + 3344*b577*b590 + 11552*b577*b593 + 8360*b577*b596
     + 8512*b577*b599 + 9300*b577*b600 + 7200*b577*b601 + 8300*b577*b602 + 7900
    *b577*b603 + 400*b577*b604 + 4600*b577*b605 + 800*b577*b606 + 5300*b577*
    b607 + 2100*b577*b608 + 3900*b577*b609 + 4500*b577*b610 + 4300*b577*b611 + 
    9400*b577*b612 + 6600*b577*b613 + 9800*b577*b615 + 3500*b577*b616 + 1500*
    b577*b617 + 1700*b577*b618 + 7700*b577*b619 + 4400*b577*b620 + 2600*b577*
    b621 + 7600*b577*b622 + 3900*b577*b623 + 7904*b577*b626 + 6080*b578*b580 + 
    8360*b578*b583 + 4560*b578*b586 + 3344*b578*b589 + 11552*b578*b592 + 8360*
    b578*b595 + 8512*b578*b598 + 200*b578*b600 + 2900*b578*b601 + 8700*b578*
    b602 + 400*b578*b603 + 5900*b578*b604 + 6800*b578*b605 + 3000*b578*b606 + 
    4600*b578*b607 + 6200*b578*b608 + 3300*b578*b609 + 6100*b578*b610 + 5900*
    b578*b611 + 1500*b578*b612 + 8200*b578*b613 + 7600*b578*b614 + 5700*b578*
    b615 + 6500*b578*b616 + 3400*b578*b617 + 4800*b578*b618 + 7500*b578*b619 + 
    9500*b578*b620 + 700*b578*b621 + 1100*b578*b623 + 7904*b578*b625 + 7030*
    b579*b600 + 6068*b579*b601 + 4144*b579*b602 + 3034*b579*b603 + 444*b579*
    b604 + 1850*b579*b605 + 740*b579*b606 + 296*b579*b607 + 4662*b579*b608 + 
    444*b579*b609 + 3256*b579*b610 + 2960*b579*b611 + 5550*b579*b612 + 5846*
    b579*b613 + 6586*b579*b615 + 2590*b579*b616 + 666*b579*b617 + 74*b579*b618
     + 6290*b579*b619 + 6216*b579*b620 + 888*b579*b621 + 1554*b579*b623 + 13832
    *b580*b584 + 11248*b580*b587 + 12464*b580*b590 + 14592*b580*b593 + 304*b580
    *b596 + 1976*b580*b599 + 6882*b580*b600 + 5328*b580*b601 + 6142*b580*b602
     + 5846*b580*b603 + 296*b580*b604 + 3404*b580*b605 + 592*b580*b606 + 3922*
    b580*b607 + 1554*b580*b608 + 2886*b580*b609 + 3330*b580*b610 + 3182*b580*
    b611 + 6956*b580*b612 + 4884*b580*b613 + 7252*b580*b615 + 2590*b580*b616 + 
    1110*b580*b617 + 1258*b580*b618 + 5698*b580*b619 + 3256*b580*b620 + 1924*
    b580*b621 + 5624*b580*b622 + 2886*b580*b623 + 3952*b580*b626 + 13832*b581*
    b583 + 11248*b581*b586 + 12464*b581*b589 + 14592*b581*b592 + 304*b581*b595
     + 1976*b581*b598 + 148*b581*b600 + 2146*b581*b601 + 6438*b581*b602 + 296*
    b581*b603 + 4366*b581*b604 + 5032*b581*b605 + 2220*b581*b606 + 3404*b581*
    b607 + 4588*b581*b608 + 2442*b581*b609 + 4514*b581*b610 + 4366*b581*b611 + 
    1110*b581*b612 + 6068*b581*b613 + 5624*b581*b614 + 4218*b581*b615 + 4810*
    b581*b616 + 2516*b581*b617 + 3552*b581*b618 + 5550*b581*b619 + 7030*b581*
    b620 + 518*b581*b621 + 814*b581*b623 + 3952*b581*b625 + 15010*b582*b600 + 
    12956*b582*b601 + 8848*b582*b602 + 6478*b582*b603 + 948*b582*b604 + 3950*
    b582*b605 + 1580*b582*b606 + 632*b582*b607 + 9954*b582*b608 + 948*b582*b609
     + 6952*b582*b610 + 6320*b582*b611 + 11850*b582*b612 + 12482*b582*b613 + 
    14062*b582*b615 + 5530*b582*b616 + 1422*b582*b617 + 158*b582*b618 + 13430*
    b582*b619 + 13272*b582*b620 + 1896*b582*b621 + 3318*b582*b623 + 608*b583*
    b587 + 608*b583*b590 + 5320*b583*b593 + 7296*b583*b596 + 4408*b583*b599 + 
    14694*b583*b600 + 11376*b583*b601 + 13114*b583*b602 + 12482*b583*b603 + 632
    *b583*b604 + 7268*b583*b605 + 1264*b583*b606 + 8374*b583*b607 + 3318*b583*
    b608 + 6162*b583*b609 + 7110*b583*b610 + 6794*b583*b611 + 14852*b583*b612
     + 10428*b583*b613 + 15484*b583*b615 + 5530*b583*b616 + 2370*b583*b617 + 
    2686*b583*b618 + 12166*b583*b619 + 6952*b583*b620 + 4108*b583*b621 + 12008*
    b583*b622 + 6162*b583*b623 + 13680*b583*b626 + 608*b584*b586 + 608*b584*
    b589 + 5320*b584*b592 + 7296*b584*b595 + 4408*b584*b598 + 316*b584*b600 + 
    4582*b584*b601 + 13746*b584*b602 + 632*b584*b603 + 9322*b584*b604 + 10744*
    b584*b605 + 4740*b584*b606 + 7268*b584*b607 + 9796*b584*b608 + 5214*b584*
    b609 + 9638*b584*b610 + 9322*b584*b611 + 2370*b584*b612 + 12956*b584*b613
     + 12008*b584*b614 + 9006*b584*b615 + 10270*b584*b616 + 5372*b584*b617 + 
    7584*b584*b618 + 11850*b584*b619 + 15010*b584*b620 + 1106*b584*b621 + 1738*
    b584*b623 + 13680*b584*b625 + 3610*b585*b600 + 3116*b585*b601 + 2128*b585*
    b602 + 1558*b585*b603 + 228*b585*b604 + 950*b585*b605 + 380*b585*b606 + 152
    *b585*b607 + 2394*b585*b608 + 228*b585*b609 + 1672*b585*b610 + 1520*b585*
    b611 + 2850*b585*b612 + 3002*b585*b613 + 3382*b585*b615 + 1330*b585*b616 + 
    342*b585*b617 + 38*b585*b618 + 3230*b585*b619 + 3192*b585*b620 + 456*b585*
    b621 + 798*b585*b623 + 6384*b586*b590 + 8512*b586*b593 + 456*b586*b596 + 
    4560*b586*b599 + 3534*b586*b600 + 2736*b586*b601 + 3154*b586*b602 + 3002*
    b586*b603 + 152*b586*b604 + 1748*b586*b605 + 304*b586*b606 + 2014*b586*b607
     + 798*b586*b608 + 1482*b586*b609 + 1710*b586*b610 + 1634*b586*b611 + 3572*
    b586*b612 + 2508*b586*b613 + 3724*b586*b615 + 1330*b586*b616 + 570*b586*
    b617 + 646*b586*b618 + 2926*b586*b619 + 1672*b586*b620 + 988*b586*b621 + 
    2888*b586*b622 + 1482*b586*b623 + 3952*b586*b626 + 6384*b587*b589 + 8512*
    b587*b592 + 456*b587*b595 + 4560*b587*b598 + 76*b587*b600 + 1102*b587*b601
     + 3306*b587*b602 + 152*b587*b603 + 2242*b587*b604 + 2584*b587*b605 + 1140*
    b587*b606 + 1748*b587*b607 + 2356*b587*b608 + 1254*b587*b609 + 2318*b587*
    b610 + 2242*b587*b611 + 570*b587*b612 + 3116*b587*b613 + 2888*b587*b614 + 
    2166*b587*b615 + 2470*b587*b616 + 1292*b587*b617 + 1824*b587*b618 + 2850*
    b587*b619 + 3610*b587*b620 + 266*b587*b621 + 418*b587*b623 + 3952*b587*b625
     + 9690*b588*b600 + 8364*b588*b601 + 5712*b588*b602 + 4182*b588*b603 + 612*
    b588*b604 + 2550*b588*b605 + 1020*b588*b606 + 408*b588*b607 + 6426*b588*
    b608 + 612*b588*b609 + 4488*b588*b610 + 4080*b588*b611 + 7650*b588*b612 + 
    8058*b588*b613 + 9078*b588*b615 + 3570*b588*b616 + 918*b588*b617 + 102*b588
    *b618 + 8670*b588*b619 + 8568*b588*b620 + 1224*b588*b621 + 2142*b588*b623
     + 9120*b589*b593 + 12312*b589*b596 + 5624*b589*b599 + 9486*b589*b600 + 
    7344*b589*b601 + 8466*b589*b602 + 8058*b589*b603 + 408*b589*b604 + 4692*
    b589*b605 + 816*b589*b606 + 5406*b589*b607 + 2142*b589*b608 + 3978*b589*
    b609 + 4590*b589*b610 + 4386*b589*b611 + 9588*b589*b612 + 6732*b589*b613 + 
    9996*b589*b615 + 3570*b589*b616 + 1530*b589*b617 + 1734*b589*b618 + 7854*
    b589*b619 + 4488*b589*b620 + 2652*b589*b621 + 7752*b589*b622 + 3978*b589*
    b623 + 152*b589*b626 + 9120*b590*b592 + 12312*b590*b595 + 5624*b590*b598 + 
    204*b590*b600 + 2958*b590*b601 + 8874*b590*b602 + 408*b590*b603 + 6018*b590
    *b604 + 6936*b590*b605 + 3060*b590*b606 + 4692*b590*b607 + 6324*b590*b608
     + 3366*b590*b609 + 6222*b590*b610 + 6018*b590*b611 + 1530*b590*b612 + 8364
    *b590*b613 + 7752*b590*b614 + 5814*b590*b615 + 6630*b590*b616 + 3468*b590*
    b617 + 4896*b590*b618 + 7650*b590*b619 + 9690*b590*b620 + 714*b590*b621 + 
    1122*b590*b623 + 152*b590*b625 + 13300*b591*b600 + 11480*b591*b601 + 7840*
    b591*b602 + 5740*b591*b603 + 840*b591*b604 + 3500*b591*b605 + 1400*b591*
    b606 + 560*b591*b607 + 8820*b591*b608 + 840*b591*b609 + 6160*b591*b610 + 
    5600*b591*b611 + 10500*b591*b612 + 11060*b591*b613 + 12460*b591*b615 + 4900
    *b591*b616 + 1260*b591*b617 + 140*b591*b618 + 11900*b591*b619 + 11760*b591*
    b620 + 1680*b591*b621 + 2940*b591*b623 + 6384*b592*b596 + 456*b592*b599 + 
    13020*b592*b600 + 10080*b592*b601 + 11620*b592*b602 + 11060*b592*b603 + 560
    *b592*b604 + 6440*b592*b605 + 1120*b592*b606 + 7420*b592*b607 + 2940*b592*
    b608 + 5460*b592*b609 + 6300*b592*b610 + 6020*b592*b611 + 13160*b592*b612
     + 9240*b592*b613 + 13720*b592*b615 + 4900*b592*b616 + 2100*b592*b617 + 
    2380*b592*b618 + 10780*b592*b619 + 6160*b592*b620 + 3640*b592*b621 + 10640*
    b592*b622 + 5460*b592*b623 + 10336*b592*b626 + 6384*b593*b595 + 456*b593*
    b598 + 280*b593*b600 + 4060*b593*b601 + 12180*b593*b602 + 560*b593*b603 + 
    8260*b593*b604 + 9520*b593*b605 + 4200*b593*b606 + 6440*b593*b607 + 8680*
    b593*b608 + 4620*b593*b609 + 8540*b593*b610 + 8260*b593*b611 + 2100*b593*
    b612 + 11480*b593*b613 + 10640*b593*b614 + 7980*b593*b615 + 9100*b593*b616
     + 4760*b593*b617 + 6720*b593*b618 + 10500*b593*b619 + 13300*b593*b620 + 
    980*b593*b621 + 1540*b593*b623 + 10336*b593*b625 + 7980*b594*b600 + 6888*
    b594*b601 + 4704*b594*b602 + 3444*b594*b603 + 504*b594*b604 + 2100*b594*
    b605 + 840*b594*b606 + 336*b594*b607 + 5292*b594*b608 + 504*b594*b609 + 
    3696*b594*b610 + 3360*b594*b611 + 6300*b594*b612 + 6636*b594*b613 + 7476*
    b594*b615 + 2940*b594*b616 + 756*b594*b617 + 84*b594*b618 + 7140*b594*b619
     + 7056*b594*b620 + 1008*b594*b621 + 1764*b594*b623 + 2584*b595*b599 + 7812
    *b595*b600 + 6048*b595*b601 + 6972*b595*b602 + 6636*b595*b603 + 336*b595*
    b604 + 3864*b595*b605 + 672*b595*b606 + 4452*b595*b607 + 1764*b595*b608 + 
    3276*b595*b609 + 3780*b595*b610 + 3612*b595*b611 + 7896*b595*b612 + 5544*
    b595*b613 + 8232*b595*b615 + 2940*b595*b616 + 1260*b595*b617 + 1428*b595*
    b618 + 6468*b595*b619 + 3696*b595*b620 + 2184*b595*b621 + 6384*b595*b622 + 
    3276*b595*b623 + 14136*b595*b626 + 2584*b596*b598 + 168*b596*b600 + 2436*
    b596*b601 + 7308*b596*b602 + 336*b596*b603 + 4956*b596*b604 + 5712*b596*
    b605 + 2520*b596*b606 + 3864*b596*b607 + 5208*b596*b608 + 2772*b596*b609 + 
    5124*b596*b610 + 4956*b596*b611 + 1260*b596*b612 + 6888*b596*b613 + 6384*
    b596*b614 + 4788*b596*b615 + 5460*b596*b616 + 2856*b596*b617 + 4032*b596*
    b618 + 6300*b596*b619 + 7980*b596*b620 + 588*b596*b621 + 924*b596*b623 + 
    14136*b596*b625 + 4940*b597*b600 + 4264*b597*b601 + 2912*b597*b602 + 2132*
    b597*b603 + 312*b597*b604 + 1300*b597*b605 + 520*b597*b606 + 208*b597*b607
     + 3276*b597*b608 + 312*b597*b609 + 2288*b597*b610 + 2080*b597*b611 + 3900*
    b597*b612 + 4108*b597*b613 + 4628*b597*b615 + 1820*b597*b616 + 468*b597*
    b617 + 52*b597*b618 + 4420*b597*b619 + 4368*b597*b620 + 624*b597*b621 + 
    1092*b597*b623 + 4836*b598*b600 + 3744*b598*b601 + 4316*b598*b602 + 4108*
    b598*b603 + 208*b598*b604 + 2392*b598*b605 + 416*b598*b606 + 2756*b598*b607
     + 1092*b598*b608 + 2028*b598*b609 + 2340*b598*b610 + 2236*b598*b611 + 4888
    *b598*b612 + 3432*b598*b613 + 5096*b598*b615 + 1820*b598*b616 + 780*b598*
    b617 + 884*b598*b618 + 4004*b598*b619 + 2288*b598*b620 + 1352*b598*b621 + 
    3952*b598*b622 + 2028*b598*b623 + 1064*b598*b626 + 104*b599*b600 + 1508*
    b599*b601 + 4524*b599*b602 + 208*b599*b603 + 3068*b599*b604 + 3536*b599*
    b605 + 1560*b599*b606 + 2392*b599*b607 + 3224*b599*b608 + 1716*b599*b609 + 
    3172*b599*b610 + 3068*b599*b611 + 780*b599*b612 + 4264*b599*b613 + 3952*
    b599*b614 + 2964*b599*b615 + 3380*b599*b616 + 1768*b599*b617 + 2496*b599*
    b618 + 3900*b599*b619 + 4940*b599*b620 + 364*b599*b621 + 572*b599*b623 + 
    1064*b599*b625 + 17480*b600*b624 + 17112*b600*b625 + 368*b600*b626 + 15088*
    b601*b624 + 13248*b601*b625 + 5336*b601*b626 + 10304*b602*b624 + 15272*b602
    *b625 + 16008*b602*b626 + 7544*b603*b624 + 14536*b603*b625 + 736*b603*b626
     + 1104*b604*b624 + 736*b604*b625 + 10856*b604*b626 + 4600*b605*b624 + 8464
    *b605*b625 + 12512*b605*b626 + 1840*b606*b624 + 1472*b606*b625 + 5520*b606*
    b626 + 736*b607*b624 + 9752*b607*b625 + 8464*b607*b626 + 11592*b608*b624 + 
    3864*b608*b625 + 11408*b608*b626 + 1104*b609*b624 + 7176*b609*b625 + 6072*
    b609*b626 + 8096*b610*b624 + 8280*b610*b625 + 11224*b610*b626 + 7360*b611*
    b624 + 7912*b611*b625 + 10856*b611*b626 + 13800*b612*b624 + 17296*b612*b625
     + 2760*b612*b626 + 14536*b613*b624 + 12144*b613*b625 + 15088*b613*b626 + 
    13984*b614*b626 + 16376*b615*b624 + 18032*b615*b625 + 10488*b615*b626 + 
    6440*b616*b624 + 6440*b616*b625 + 11960*b616*b626 + 1656*b617*b624 + 2760*
    b617*b625 + 6256*b617*b626 + 184*b618*b624 + 3128*b618*b625 + 8832*b618*
    b626 + 15640*b619*b624 + 14168*b619*b625 + 13800*b619*b626 + 15456*b620*
    b624 + 8096*b620*b625 + 17480*b620*b626 + 2208*b621*b624 + 4784*b621*b625
     + 1288*b621*b626 + 13984*b622*b625 + 3864*b623*b624 + 7176*b623*b625 + 
    2024*b623*b626;

subject to

e2:    b2 + b600 + b601 + b602 + b603 + b604 + b605 + b606 + b607 + b608 + b609
     + b610 + b611 + b612 + b613 + b614 + b615 + b616 + b617 + b618 + b619
     + b620 + b621 + b622 + b623 = 1;

e3:    b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13 + b14 + b15
     + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b624 + b625 + b626
     = 1;

e4:    b25 + b26 + b27 + b28 + b29 + b30 + b31 + b32 + b33 + b34 + b35 + b36
     + b37 + b38 + b39 + b40 + b41 + b42 + b43 + b44 + b45 + b46 + b531 + b532
     + b533 = 1;

e5:    b47 + b48 + b49 + b50 + b51 + b52 + b53 + b54 + b55 + b56 + b57 + b58
     + b59 + b60 + b61 + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b534 + b535
     + b536 = 1;

e6:    b69 + b70 + b71 + b72 + b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80
     + b81 + b82 + b83 + b84 + b85 + b86 + b87 + b88 + b89 + b90 + b537 + b538
     + b539 = 1;

e7:    b91 + b92 + b93 + b94 + b95 + b96 + b97 + b98 + b99 + b100 + b101 + b102
     + b103 + b104 + b105 + b106 + b107 + b108 + b109 + b110 + b111 + b112
     + b540 + b541 + b542 = 1;

e8:    b113 + b114 + b115 + b116 + b117 + b118 + b119 + b120 + b121 + b122
     + b123 + b124 + b125 + b126 + b127 + b128 + b129 + b130 + b131 + b132
     + b133 + b134 + b543 + b544 + b545 = 1;

e9:    b135 + b136 + b137 + b138 + b139 + b140 + b141 + b142 + b143 + b144
     + b145 + b146 + b147 + b148 + b149 + b150 + b151 + b152 + b153 + b154
     + b155 + b156 + b546 + b547 + b548 = 1;

e10:    b157 + b158 + b159 + b160 + b161 + b162 + b163 + b164 + b165 + b166
      + b167 + b168 + b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176
      + b177 + b178 + b549 + b550 + b551 = 1;

e11:    b179 + b180 + b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188
      + b189 + b190 + b191 + b192 + b193 + b194 + b195 + b196 + b197 + b198
      + b199 + b200 + b552 + b553 + b554 = 1;

e12:    b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208 + b209 + b210
      + b211 + b212 + b213 + b214 + b215 + b216 + b217 + b218 + b219 + b220
      + b221 + b222 + b555 + b556 + b557 = 1;

e13:    b223 + b224 + b225 + b226 + b227 + b228 + b229 + b230 + b231 + b232
      + b233 + b234 + b235 + b236 + b237 + b238 + b239 + b240 + b241 + b242
      + b243 + b244 + b558 + b559 + b560 = 1;

e14:    b245 + b246 + b247 + b248 + b249 + b250 + b251 + b252 + b253 + b254
      + b255 + b256 + b257 + b258 + b259 + b260 + b261 + b262 + b263 + b264
      + b265 + b266 + b561 + b562 + b563 = 1;

e15:    b267 + b268 + b269 + b270 + b271 + b272 + b273 + b274 + b275 + b276
      + b277 + b278 + b279 + b280 + b281 + b282 + b283 + b284 + b285 + b286
      + b287 + b288 + b564 + b565 + b566 = 1;

e16:    b289 + b290 + b291 + b292 + b293 + b294 + b295 + b296 + b297 + b298
      + b299 + b300 + b301 + b302 + b303 + b304 + b305 + b306 + b307 + b308
      + b309 + b310 + b567 + b568 + b569 = 1;

e17:    b311 + b312 + b313 + b314 + b315 + b316 + b317 + b318 + b319 + b320
      + b321 + b322 + b323 + b324 + b325 + b326 + b327 + b328 + b329 + b330
      + b331 + b332 + b570 + b571 + b572 = 1;

e18:    b333 + b334 + b335 + b336 + b337 + b338 + b339 + b340 + b341 + b342
      + b343 + b344 + b345 + b346 + b347 + b348 + b349 + b350 + b351 + b352
      + b353 + b354 + b573 + b574 + b575 = 1;

e19:    b355 + b356 + b357 + b358 + b359 + b360 + b361 + b362 + b363 + b364
      + b365 + b366 + b367 + b368 + b369 + b370 + b371 + b372 + b373 + b374
      + b375 + b376 + b576 + b577 + b578 = 1;

e20:    b377 + b378 + b379 + b380 + b381 + b382 + b383 + b384 + b385 + b386
      + b387 + b388 + b389 + b390 + b391 + b392 + b393 + b394 + b395 + b396
      + b397 + b398 + b579 + b580 + b581 = 1;

e21:    b399 + b400 + b401 + b402 + b403 + b404 + b405 + b406 + b407 + b408
      + b409 + b410 + b411 + b412 + b413 + b414 + b415 + b416 + b417 + b418
      + b419 + b420 + b582 + b583 + b584 = 1;

e22:    b421 + b422 + b423 + b424 + b425 + b426 + b427 + b428 + b429 + b430
      + b431 + b432 + b433 + b434 + b435 + b436 + b437 + b438 + b439 + b440
      + b441 + b442 + b585 + b586 + b587 = 1;

e23:    b443 + b444 + b445 + b446 + b447 + b448 + b449 + b450 + b451 + b452
      + b453 + b454 + b455 + b456 + b457 + b458 + b459 + b460 + b461 + b462
      + b463 + b464 + b588 + b589 + b590 = 1;

e24:    b465 + b466 + b467 + b468 + b469 + b470 + b471 + b472 + b473 + b474
      + b475 + b476 + b477 + b478 + b479 + b480 + b481 + b482 + b483 + b484
      + b485 + b486 + b591 + b592 + b593 = 1;

e25:    b487 + b488 + b489 + b490 + b491 + b492 + b493 + b494 + b495 + b496
      + b497 + b498 + b499 + b500 + b501 + b502 + b503 + b504 + b505 + b506
      + b507 + b508 + b594 + b595 + b596 = 1;

e26:    b509 + b510 + b511 + b512 + b513 + b514 + b515 + b516 + b517 + b518
      + b519 + b520 + b521 + b522 + b523 + b524 + b525 + b526 + b527 + b528
      + b529 + b530 + b597 + b598 + b599 = 1;

e27:    b2 + b531 + b534 + b537 + b540 + b543 + b546 + b549 + b552 + b555
      + b558 + b561 + b564 + b567 + b570 + b573 + b576 + b579 + b582 + b585
      + b588 + b591 + b594 + b597 + b624 = 1;

e28:    b3 + b25 + b47 + b69 + b91 + b113 + b135 + b157 + b179 + b201 + b223
      + b245 + b267 + b289 + b311 + b333 + b355 + b377 + b399 + b421 + b443
      + b465 + b487 + b509 + b623 = 1;

e29:    b4 + b26 + b48 + b70 + b92 + b114 + b136 + b158 + b180 + b202 + b224
      + b246 + b268 + b290 + b312 + b334 + b356 + b378 + b400 + b422 + b444
      + b466 + b488 + b510 + b600 = 1;

e30:    b5 + b27 + b49 + b71 + b93 + b115 + b137 + b159 + b181 + b203 + b225
      + b247 + b269 + b291 + b313 + b335 + b357 + b379 + b401 + b423 + b445
      + b467 + b489 + b511 + b601 = 1;

e31:    b6 + b28 + b50 + b72 + b94 + b116 + b138 + b160 + b182 + b204 + b226
      + b248 + b270 + b292 + b314 + b336 + b358 + b380 + b402 + b424 + b446
      + b468 + b490 + b512 + b602 = 1;

e32:    b7 + b29 + b51 + b73 + b95 + b117 + b139 + b161 + b183 + b205 + b227
      + b249 + b271 + b293 + b315 + b337 + b359 + b381 + b403 + b425 + b447
      + b469 + b491 + b513 + b603 = 1;

e33:    b8 + b30 + b52 + b74 + b96 + b118 + b140 + b162 + b184 + b206 + b228
      + b250 + b272 + b294 + b316 + b338 + b360 + b382 + b404 + b426 + b448
      + b470 + b492 + b514 + b604 = 1;

e34:    b9 + b31 + b53 + b75 + b97 + b119 + b141 + b163 + b185 + b207 + b229
      + b251 + b273 + b295 + b317 + b339 + b361 + b383 + b405 + b427 + b449
      + b471 + b493 + b515 + b605 = 1;

e35:    b10 + b32 + b54 + b76 + b98 + b120 + b142 + b164 + b186 + b208 + b230
      + b252 + b274 + b296 + b318 + b340 + b362 + b384 + b406 + b428 + b450
      + b472 + b494 + b516 + b606 = 1;

e36:    b11 + b33 + b55 + b77 + b99 + b121 + b143 + b165 + b187 + b209 + b231
      + b253 + b275 + b297 + b319 + b341 + b363 + b385 + b407 + b429 + b451
      + b473 + b495 + b517 + b607 = 1;

e37:    b12 + b34 + b56 + b78 + b100 + b122 + b144 + b166 + b188 + b210 + b232
      + b254 + b276 + b298 + b320 + b342 + b364 + b386 + b408 + b430 + b452
      + b474 + b496 + b518 + b608 = 1;

e38:    b13 + b35 + b57 + b79 + b101 + b123 + b145 + b167 + b189 + b211 + b233
      + b255 + b277 + b299 + b321 + b343 + b365 + b387 + b409 + b431 + b453
      + b475 + b497 + b519 + b609 = 1;

e39:    b14 + b36 + b58 + b80 + b102 + b124 + b146 + b168 + b190 + b212 + b234
      + b256 + b278 + b300 + b322 + b344 + b366 + b388 + b410 + b432 + b454
      + b476 + b498 + b520 + b610 = 1;

e40:    b15 + b37 + b59 + b81 + b103 + b125 + b147 + b169 + b191 + b213 + b235
      + b257 + b279 + b301 + b323 + b345 + b367 + b389 + b411 + b433 + b455
      + b477 + b499 + b521 + b611 = 1;

e41:    b16 + b38 + b60 + b82 + b104 + b126 + b148 + b170 + b192 + b214 + b236
      + b258 + b280 + b302 + b324 + b346 + b368 + b390 + b412 + b434 + b456
      + b478 + b500 + b522 + b612 = 1;

e42:    b17 + b39 + b61 + b83 + b105 + b127 + b149 + b171 + b193 + b215 + b237
      + b259 + b281 + b303 + b325 + b347 + b369 + b391 + b413 + b435 + b457
      + b479 + b501 + b523 + b613 = 1;

e43:    b532 + b535 + b538 + b541 + b544 + b547 + b550 + b553 + b556 + b559
      + b562 + b565 + b568 + b571 + b574 + b577 + b580 + b583 + b586 + b589
      + b592 + b595 + b598 + b614 + b625 = 1;

e44:    b18 + b40 + b62 + b84 + b106 + b128 + b150 + b172 + b194 + b216 + b238
      + b260 + b282 + b304 + b326 + b348 + b370 + b392 + b414 + b436 + b458
      + b480 + b502 + b524 + b615 = 1;

e45:    b19 + b41 + b63 + b85 + b107 + b129 + b151 + b173 + b195 + b217 + b239
      + b261 + b283 + b305 + b327 + b349 + b371 + b393 + b415 + b437 + b459
      + b481 + b503 + b525 + b616 = 1;

e46:    b20 + b42 + b64 + b86 + b108 + b130 + b152 + b174 + b196 + b218 + b240
      + b262 + b284 + b306 + b328 + b350 + b372 + b394 + b416 + b438 + b460
      + b482 + b504 + b526 + b617 = 1;

e47:    b21 + b43 + b65 + b87 + b109 + b131 + b153 + b175 + b197 + b219 + b241
      + b263 + b285 + b307 + b329 + b351 + b373 + b395 + b417 + b439 + b461
      + b483 + b505 + b527 + b618 = 1;

e48:    b22 + b44 + b66 + b88 + b110 + b132 + b154 + b176 + b198 + b220 + b242
      + b264 + b286 + b308 + b330 + b352 + b374 + b396 + b418 + b440 + b462
      + b484 + b506 + b528 + b619 = 1;

e49:    b23 + b45 + b67 + b89 + b111 + b133 + b155 + b177 + b199 + b221 + b243
      + b265 + b287 + b309 + b331 + b353 + b375 + b397 + b419 + b441 + b463
      + b485 + b507 + b529 + b620 = 1;

e50:    b24 + b46 + b68 + b90 + b112 + b134 + b156 + b178 + b200 + b222 + b244
      + b266 + b288 + b310 + b332 + b354 + b376 + b398 + b420 + b442 + b464
      + b486 + b508 + b530 + b621 = 1;

e51:    b533 + b536 + b539 + b542 + b545 + b548 + b551 + b554 + b557 + b560
      + b563 + b566 + b569 + b572 + b575 + b578 + b581 + b584 + b587 + b590
      + b593 + b596 + b599 + b622 + b626 = 1;