#  MIQCP written by GAMS Convert at 02/15/18 15:47:13
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        824      824        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#       8905        1     8904        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#      81870    72966     8904        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;
var b627 binary >= 0, <= 1;
var b628 binary >= 0, <= 1;
var b629 binary >= 0, <= 1;
var b630 binary >= 0, <= 1;
var b631 binary >= 0, <= 1;
var b632 binary >= 0, <= 1;
var b633 binary >= 0, <= 1;
var b634 binary >= 0, <= 1;
var b635 binary >= 0, <= 1;
var b636 binary >= 0, <= 1;
var b637 binary >= 0, <= 1;
var b638 binary >= 0, <= 1;
var b639 binary >= 0, <= 1;
var b640 binary >= 0, <= 1;
var b641 binary >= 0, <= 1;
var b642 binary >= 0, <= 1;
var b643 binary >= 0, <= 1;
var b644 binary >= 0, <= 1;
var b645 binary >= 0, <= 1;
var b646 binary >= 0, <= 1;
var b647 binary >= 0, <= 1;
var b648 binary >= 0, <= 1;
var b649 binary >= 0, <= 1;
var b650 binary >= 0, <= 1;
var b651 binary >= 0, <= 1;
var b652 binary >= 0, <= 1;
var b653 binary >= 0, <= 1;
var b654 binary >= 0, <= 1;
var b655 binary >= 0, <= 1;
var b656 binary >= 0, <= 1;
var b657 binary >= 0, <= 1;
var b658 binary >= 0, <= 1;
var b659 binary >= 0, <= 1;
var b660 binary >= 0, <= 1;
var b661 binary >= 0, <= 1;
var b662 binary >= 0, <= 1;
var b663 binary >= 0, <= 1;
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var b8852 binary >= 0, <= 1;
var b8853 binary >= 0, <= 1;
var b8854 binary >= 0, <= 1;
var b8855 binary >= 0, <= 1;
var b8856 binary >= 0, <= 1;
var b8857 binary >= 0, <= 1;
var b8858 binary >= 0, <= 1;
var b8859 binary >= 0, <= 1;
var b8860 binary >= 0, <= 1;
var b8861 binary >= 0, <= 1;
var b8862 binary >= 0, <= 1;
var b8863 binary >= 0, <= 1;
var b8864 binary >= 0, <= 1;
var b8865 binary >= 0, <= 1;
var b8866 binary >= 0, <= 1;
var b8867 binary >= 0, <= 1;
var b8868 binary >= 0, <= 1;
var b8869 binary >= 0, <= 1;
var b8870 binary >= 0, <= 1;
var b8871 binary >= 0, <= 1;
var b8872 binary >= 0, <= 1;
var b8873 binary >= 0, <= 1;
var b8874 binary >= 0, <= 1;
var b8875 binary >= 0, <= 1;
var b8876 binary >= 0, <= 1;
var b8877 binary >= 0, <= 1;
var b8878 binary >= 0, <= 1;
var b8879 binary >= 0, <= 1;
var b8880 binary >= 0, <= 1;
var b8881 binary >= 0, <= 1;
var b8882 binary >= 0, <= 1;
var b8883 binary >= 0, <= 1;
var b8884 binary >= 0, <= 1;
var b8885 binary >= 0, <= 1;
var b8886 binary >= 0, <= 1;
var b8887 binary >= 0, <= 1;
var b8888 binary >= 0, <= 1;
var b8889 binary >= 0, <= 1;
var b8890 binary >= 0, <= 1;
var b8891 binary >= 0, <= 1;
var b8892 binary >= 0, <= 1;
var b8893 binary >= 0, <= 1;
var b8894 binary >= 0, <= 1;
var b8895 binary >= 0, <= 1;
var b8896 binary >= 0, <= 1;
var b8897 binary >= 0, <= 1;
var b8898 binary >= 0, <= 1;
var b8899 binary >= 0, <= 1;
var b8900 binary >= 0, <= 1;
var b8901 binary >= 0, <= 1;
var b8902 binary >= 0, <= 1;
var b8903 binary >= 0, <= 1;
var b8904 binary >= 0, <= 1;
var b8905 binary >= 0, <= 1;

minimize obj: 0.1648945*b2^2 + 411*b2 + 0.0690555*b2*b3 + 622*b3 + 0.138111*b3^
    2 + 0.170678*b3*b4 + 1122*b4 + 0.341356*b4^2 + 0.11504*b4*b5 + 267*b5 + 
    0.23008*b5^2 + 0.15174*b5*b6 + 369*b6 + 0.3034805*b6^2 + 0.227674*b6*b7 + 
    424*b7 + 0.4553475*b7^2 + 0.1960215*b7*b8 + 1007*b8 + 0.3920425*b8^2 + 
    0.0468225*b8*b9 + 35*b9 + 0.093645*b9^2 + 0.20078*b9*b10 + 410*b10 + 
    0.40156*b10^2 + 0.1900745*b10*b11 + 696*b11 + 0.3801495*b11^2 + 0.176381*
    b11*b12 + 213*b12 + 0.352762*b12^2 + 0.0906635*b12*b13 + 716*b13 + 0.181327
    *b13^2 + 0.0606555*b13*b14 + 642*b14 + 0.1213105*b14^2 + 0.0355765*b14*b15
     + 237*b15 + 0.071153*b15^2 + 0.111218*b15*b16 + 490*b16 + 0.222436*b16^2
     + 0.1368955*b16*b17 + 1065*b17 + 0.273791*b17^2 + 0.01429375*b17*b18 + 615
    *b18 + 0.0285875*b18^2 + 0.086459*b18*b19 + 618*b19 + 0.1729175*b19^2 + 
    0.242299*b19*b20 + 505*b20 + 0.484598*b20*b20 + 0.220285*b20*b21 + 532*b21
     + 0.4405695*b21^2 + 0.1049445*b21*b22 + 576*b22 + 0.2098885*b22^2 + 
    0.078012*b22*b23 + 238*b23 + 0.1560235*b23^2 + 0.1131215*b23*b24 + 253*b24
     + 0.2262425*b24^2 + 0.0253435*b24*b25 + 549*b25 + 0.050687*b25^2 + 
    0.138987*b25*b26 + 438*b26 + 0.277974*b26^2 + 0.075677*b26*b27 + 62*b27 + 
    0.1513535*b27^2 + 0.0363815*b27*b28 + 475*b28 + 0.072763*b28^2 + 0.113288*
    b28*b29 + 859*b29 + 0.2265765*b29^2 + 0.107626*b29*b30 + 588*b30 + 
    0.2152515*b30^2 + 0.1417055*b30*b31 + 437*b31 + 0.2834105*b31^2 + 0.104052*
    b31*b32 + 731*b32 + 0.2081045*b32^2 + 0.0776225*b32*b33 + 545*b33 + 
    0.155245*b33^2 + 0.2200705*b33*b34 + 191*b34 + 0.440141*b34^2 + 0.191725*
    b34*b35 + 263*b35 + 0.38345*b35^2 + 0.2439815*b35*b36 + 685*b36 + 0.4879625
    *b36^2 + 0.133498*b36*b37 + 453*b37 + 0.266996*b37^2 + 0.1970725*b37*b38 + 
    272*b38 + 0.3941445*b38^2 + 0.04054325*b38*b39 + 251*b39 + 0.0810865*b39^2
     + 0.175326*b39*b40 + 199*b40 + 0.3506515*b40^2 + 0.086863*b40*b41 + 991*
    b41 + 0.173726*b41^2 + 0.181225*b41*b42 + 805*b42 + 0.36245*b42^2 + 
    0.1274335*b42*b43 + 175*b43 + 0.254867*b43^2 + 0.1477005*b43*b44 + 790*b44
     + 0.2954005*b44^2 + 0.193342*b44*b45 + 532*b45 + 0.386684*b45^2 + 
    0.1788175*b45*b46 + 455*b46 + 0.357635*b46^2 + 0.0519185*b46*b47 + 246*b47
     + 0.103837*b47^2 + 0.216688*b47*b48 + 1146*b48 + 0.4333765*b48^2 + 
    0.0662175*b48*b49 + 255*b49 + 0.1324345*b49^2 + 0.1101965*b49*b50 + 565*b50
     + 0.220393*b50^2 + 0.083091*b50*b51 + 313*b51 + 0.166182*b51^2 + 0.121383*
    b51*b52 + 415*b52 + 0.242766*b52^2 + 0.0429055*b52*b53 + 471*b53 + 0.085811
    *b53^2 + 0.0517795*b53*b54 + 571*b54 + 0.1035595*b54^2 + 0.199531*b54*b55
     + 719*b55 + 0.399062*b55^2 + 0.1238515*b55*b56 + 397*b56 + 0.2477035*b56^2
     + 0.196572*b56*b57 + 223*b57 + 0.393144*b57^2 + 0.243751*b57*b58 + 1198*
    b58 + 0.487502*b58^2 + 0.071855*b58*b59 + 493*b59 + 0.1437105*b59^2 + 
    0.1817275*b59*b60 + 524*b60 + 0.3634545*b60^2 + 0.003784825*b60*b61 + 487*
    b61 + 0.00756965*b61^2 + 0.182765*b61*b62 + 498*b62 + 0.3655305*b62^2 + 
    0.220569*b62*b63 + 445*b63 + 0.4411375*b63^2 + 0.141405*b63*b64 + 765*b64
     + 0.28281*b64^2 + 0.2432035*b64*b65 + 429*b65 + 0.4864075*b65^2 + 0.144218
    *b65*b66 + 360*b66 + 0.288436*b66^2 + 0.1689055*b66*b67 + 643*b67 + 
    0.3378115*b67^2 + 0.031735*b67*b68 + 825*b68 + 0.06347*b68^2 + 0.083332*b68
    *b69 + 444*b69 + 0.1666645*b69^2 + 0.03058475*b69*b70 + 474*b70 + 0.0611695
    *b70^2 + 0.246436*b70*b71 + 365*b71 + 0.4928725*b71^2 + 0.0584845*b71*b72
     + 241*b72 + 0.116969*b72^2 + 0.169731*b72*b73 + 1022*b73 + 0.3394615*b73^2
     + 0.099113*b73*b74 + 489*b74 + 0.1982265*b74^2 + 0.187515*b74*b75 + 285*
    b75 + 0.37503*b75^2 + 0.1623295*b75*b76 + 537*b76 + 0.324659*b76^2 + 
    0.055733*b76*b77 + 438*b77 + 0.111466*b77^2 + 0.1765675*b77*b78 + 353*b78
     + 0.3531355*b78^2 + 0.150049*b78*b79 + 466*b79 + 0.3000975*b79^2 + 
    0.073282*b79*b80 + 72*b80 + 0.1465635*b80^2 + 0.03178225*b80*b81 + 167*b81
     + 0.0635645*b81^2 + 0.077348*b81*b82 + 527*b82 + 0.1546965*b82^2 + 
    0.2120625*b82*b83 + 819*b83 + 0.424125*b83^2 + 0.207798*b83*b84 + 294*b84
     + 0.4155955*b84*b84 + 0.062473*b84*b85 + 415*b85 + 0.1249455*b85^2 + 
    0.114034*b85*b86 + 881*b86 + 0.2280675*b86^2 + 0.0890965*b86*b87 + 701*b87
     + 0.178193*b87*b87 + 0.155763*b87*b88 + 575*b88 + 0.3115255*b88^2 + 
    0.212509*b88*b89 + 636*b89 + 0.425018*b89^2 + 0.061343*b89*b90 + 609*b90 + 
    0.122686*b90^2 + 0.137282*b90*b91 + 806*b91 + 0.2745645*b91^2 + 0.2191155*
    b91*b92 + 538*b92 + 0.4382315*b92^2 + 0.0776355*b92*b93 + 452*b93 + 
    0.1552705*b93*b93 + 0.0744865*b93*b94 + 803*b94 + 0.1489725*b94^2 + 
    0.077525*b94*b95 + 649*b95 + 0.15505*b95^2 + 0.0646925*b95*b96 + 596*b96 + 
    0.129385*b96*b96 + 0.0185065*b96*b97 + 967*b97 + 0.037013*b97^2 + 0.168657*
    b97*b98 + 275*b98 + 0.337314*b98^2 + 0.2409255*b98*b99 + 588*b99 + 
    0.4818505*b99*b99 + 0.1463035*b99*b100 + 401*b100 + 0.292607*b100^2 + 
    0.187967*b100*b101 + 505*b101 + 0.375934*b101^2 + 0.2229905*b101*b102 + 443
    *b102 + 0.4459815*b102^2 + 0.072411*b102*b103 + 523*b103 + 0.144822*b103^2
     + 0.209581*b103*b104 + 1318*b104 + 0.419162*b104^2 + 0.2131995*b104*b105
     + 466*b105 + 0.426399*b105^2 + 0.02363355*b105*b106 + 410*b106 + 0.0472671
    *b106^2 + 0.1779765*b106*b107 + 1010*b107 + 0.3559525*b107*b107 + 0.241511*
    b107*b108 + 732*b108 + 0.483022*b108^2 + 0.1522645*b108*b109 + 663*b109 + 
    0.304529*b109^2 + 0.154741*b109*b110 + 727*b110 + 0.309482*b110^2 + 
    0.2340375*b110*b111 + 682*b111 + 0.468075*b111^2 + 0.237546*b111*b112 + 
    1262*b112 + 0.4750925*b112^2 + 0.121662*b112*b113 + 538*b113 + 0.243324*
    b113^2 + 0.0819945*b113*b114 + 491*b114 + 0.1639885*b114^2 + 0.01607405*
    b114*b115 + 442*b115 + 0.0321481*b115*b115 + 0.1516395*b115*b116 + 262*b116
     + 0.303279*b116^2 + 0.00464305*b116*b117 + 557*b117 + 0.0092861*b117^2 + 
    0.224032*b117*b118 + 452*b118 + 0.4480635*b118^2 + 0.1112205*b118*b119 + 
    461*b119 + 0.2224415*b119*b119 + 0.065723*b119*b120 + 63*b120 + 0.1314465*
    b120^2 + 0.0746145*b120*b121 + 413*b121 + 0.149229*b121^2 + 0.152729*b121*
    b122 + 616*b122 + 0.305458*b122^2 + 0.1645165*b122*b123 + 552*b123 + 
    0.3290335*b123^2 + 0.2098405*b123*b124 + 66*b124 + 0.4196815*b124^2 + 
    0.094703*b124*b125 + 847*b125 + 0.189406*b125^2 + 0.249568*b125*b126 + 603*
    b126 + 0.4991355*b126^2 + 0.0390305*b126*b127 + 488*b127 + 0.078061*b127^2
     + 0.206933*b127*b128 + 571*b128 + 0.413866*b128^2 + 0.1739505*b128*b129 + 
    514*b129 + 0.3479005*b129^2 + 0.2235915*b129*b130 + 1175*b130 + 0.447183*
    b130^2 + 0.090526*b130*b131 + 413*b131 + 0.1810515*b131^2 + 0.103537*b131*
    b132 + 284*b132 + 0.2070745*b132^2 + 0.0145547*b132*b133 + 842*b133 + 
    0.0291094*b133^2 + 0.0617125*b133*b134 + 643*b134 + 0.1234255*b134^2 + 
    0.1450545*b134*b135 + 245*b135 + 0.290109*b135^2 + 0.005731*b135*b136 + 843
    *b136 + 0.01146205*b136^2 + 0.2085125*b136*b137 + 814*b137 + 0.4170245*b137
    ^2 + 0.0124013*b137*b138 + 579*b138 + 0.0248026*b138^2 + 0.112032*b138*b139
     + 796*b139 + 0.224064*b139^2 + 0.1668765*b139*b140 + 888*b140 + 0.333753*
    b140^2 + 0.116867*b140*b141 + 562*b141 + 0.233734*b141^2 + 0.141192*b141*
    b142 + 942*b142 + 0.282384*b142^2 + 0.2349015*b142*b143 + 590*b143 + 
    0.469803*b143^2 + 0.173304*b143*b144 + 441*b144 + 0.3466075*b144^2 + 
    0.0110771*b144*b145 + 585*b145 + 0.02215415*b145^2 + 0.04800375*b145*b146
     + 388*b146 + 0.0960075*b146^2 + 0.1845705*b146*b147 + 211*b147 + 0.369141*
    b147*b147 + 0.1677405*b147*b148 + 424*b148 + 0.3354805*b148^2 + 0.1960755*
    b148*b149 + 566*b149 + 0.3921515*b149^2 + 0.075197*b149*b150 + 499*b150 + 
    0.1503935*b150^2 + 0.1886885*b150*b151 + 952*b151 + 0.377377*b151*b151 + 
    0.0816295*b151*b152 + 520*b152 + 0.1632585*b152^2 + 0.05569*b152*b153 + 736
    *b153 + 0.11138*b153^2 + 0.0111589*b153*b154 + 453*b154 + 0.02231775*b154^2
     + 0.1734585*b154*b155 + 385*b155 + 0.3469175*b155*b155 + 0.151453*b155*
    b156 + 438*b156 + 0.302906*b156^2 + 0.001960535*b156*b157 + 597*b157 + 
    0.00392107*b157^2 + 0.1609735*b157*b158 + 520*b158 + 0.3219475*b158^2 + 
    0.153071*b158*b159 + 1021*b159 + 0.306142*b159^2 + 0.101591*b159*b160 + 429
    *b160 + 0.203182*b160^2 + 0.2249875*b160*b161 + 395*b161 + 0.4499755*b161^2
     + 0.107391*b161*b162 + 389*b162 + 0.214782*b162^2 + 0.0982455*b162*b163 + 
    270*b163 + 0.196491*b163*b163 + 0.146155*b163*b164 + 182*b164 + 0.2923105*
    b164^2 + 0.0752005*b164*b165 + 430*b165 + 0.1504015*b165^2 + 0.1791745*b165
    *b166 + 522*b166 + 0.3583485*b166^2 + 0.0773695*b166*b167 + 530*b167 + 
    0.1547385*b167^2 + 0.1164735*b167*b168 + 470*b168 + 0.2329465*b168^2 + 
    0.143996*b168*b169 + 486*b169 + 0.2879915*b169^2 + 0.077484*b169*b170 + 521
    *b170 + 0.1549675*b170^2 + 0.1214805*b170*b171 + 583*b171 + 0.2429615*b171^
    2 + 0.142419*b171*b172 + 485*b172 + 0.2848375*b172^2 + 0.01431725*b172*b173
     + 707*b173 + 0.0286345*b173^2 + 0.220626*b173*b174 + 471*b174 + 0.4412525*
    b174^2 + 0.180981*b174*b175 + 1093*b175 + 0.361962*b175^2 + 0.102668*b175*
    b176 + 569*b176 + 0.205336*b176^2 + 0.0255185*b176*b177 + 218*b177 + 
    0.051037*b177^2 + 0.0129844*b177*b178 + 571*b178 + 0.0259688*b178^2 + 
    0.1844735*b178*b179 + 859*b179 + 0.3689465*b179^2 + 0.2305985*b179*b180 + 
    54*b180 + 0.4611975*b180^2 + 0.0318775*b180*b181 + 383*b181 + 0.063755*b181
    ^2 + 0.21799*b181*b182 + 1303*b182 + 0.4359805*b182^2 + 0.139043*b182*b183
     + 432*b183 + 0.278086*b183^2 + 0.1884975*b183*b184 + 611*b184 + 0.3769955*
    b184^2 + 0.04273575*b184*b185 + 505*b185 + 0.0854715*b185^2 + 0.1320535*
    b185*b186 + 668*b186 + 0.2641065*b186^2 + 0.026196*b186*b187 + 49*b187 + 
    0.052392*b187^2 + 0.090812*b187*b188 + 560*b188 + 0.181624*b188^2 + 
    0.099444*b188*b189 + 684*b189 + 0.198888*b189^2 + 0.201222*b189*b190 + 793*
    b190 + 0.4024435*b190^2 + 0.077469*b190*b191 + 756*b191 + 0.154938*b191^2
     + 0.2220875*b191*b192 + 646*b192 + 0.4441745*b192^2 + 0.2036975*b192*b193
     + 368*b193 + 0.407395*b193^2 + 0.212461*b193*b194 + 638*b194 + 0.4249215*
    b194^2 + 0.2440855*b194*b195 + 540*b195 + 0.4881715*b195^2 + 0.0031156*b195
    *b196 + 273*b196 + 0.0062312*b196^2 + 0.1603815*b196*b197 + 584*b197 + 
    0.3207635*b197^2 + 0.109102*b197*b198 + 626*b198 + 0.2182045*b198^2 + 
    0.00714685*b198*b199 + 406*b199 + 0.0142937*b199^2 + 0.194936*b199*b200 + 
    342*b200 + 0.389872*b200^2 + 0.2458035*b200*b201 + 413*b201 + 0.4916075*
    b201^2 + 0.128392*b201*b202 + 406*b202 + 0.256784*b202^2 + 0.01692145*b202*
    b203 + 422*b203 + 0.03384285*b203^2 + 0.0918475*b203*b204 + 941*b204 + 
    0.1836945*b204*b204 + 0.1400905*b204*b205 + 563*b205 + 0.280181*b205^2 + 
    0.1647*b205*b206 + 453*b206 + 0.3294*b206^2 + 0.192013*b206*b207 + 815*b207
     + 0.3840255*b207^2 + 0.191954*b207*b208 + 964*b208 + 0.383908*b208^2 + 
    0.219035*b208*b209 + 409*b209 + 0.4380695*b209^2 + 0.03945225*b209*b210 + 
    445*b210 + 0.0789045*b210^2 + 0.248102*b210*b211 + 722*b211 + 0.4962035*
    b211^2 + 0.0264435*b211*b212 + 137*b212 + 0.052887*b212^2 + 0.1800395*b212*
    b213 + 388*b213 + 0.360079*b213^2 + 0.121924*b213*b214 + 619*b214 + 
    0.2438485*b214^2 + 0.2319005*b214*b215 + 683*b215 + 0.463801*b215^2 + 
    0.136074*b215*b216 + 381*b216 + 0.272148*b216^2 + 0.210795*b216*b217 + 457*
    b217 + 0.42159*b217^2 + 0.195859*b217*b218 + 688*b218 + 0.391718*b218^2 + 
    0.0849645*b218*b219 + 734*b219 + 0.1699285*b219^2 + 0.032472*b219*b220 + 
    394*b220 + 0.064944*b220^2 + 0.138372*b220*b221 + 442*b221 + 0.276744*b221^
    2 + 0.173052*b221*b222 + 377*b222 + 0.346104*b222^2 + 0.02805475*b222*b223
     + 416*b223 + 0.0561095*b223*b223 + 0.2492595*b223*b224 + 375*b224 + 
    0.498519*b224^2 + 0.200119*b224*b225 + 512*b225 + 0.4002385*b225^2 + 
    0.089143*b225*b226 + 599*b226 + 0.1782855*b226^2 + 0.0970955*b226*b227 + 
    850*b227 + 0.194191*b227^2 + 0.1821745*b227*b228 + 755*b228 + 0.3643485*
    b228^2 + 0.2431825*b228*b229 + 211*b229 + 0.486365*b229^2 + 0.0635825*b229*
    b230 + 486*b230 + 0.127165*b230^2 + 0.207658*b230*b231 + 238*b231 + 
    0.4153165*b231^2 + 0.1136155*b231*b232 + 469*b232 + 0.227231*b232^2 + 
    0.2411775*b232*b233 + 1117*b233 + 0.4823545*b233^2 + 0.113668*b233*b234 + 
    574*b234 + 0.2273365*b234^2 + 0.2151905*b234*b235 + 609*b235 + 0.4303815*
    b235^2 + 0.1350685*b235*b236 + 747*b236 + 0.2701365*b236^2 + 0.114184*b236*
    b237 + 776*b237 + 0.2283675*b237^2 + 0.243163*b237*b238 + 270*b238 + 
    0.4863265*b238^2 + 0.0168006*b238*b239 + 483*b239 + 0.03360125*b239*b239 + 
    0.172781*b239*b240 + 281*b240 + 0.345562*b240^2 + 0.187396*b240*b241 + 455*
    b241 + 0.3747925*b241^2 + 0.103828*b241*b242 + 417*b242 + 0.2076565*b242^2
     + 0.070069*b242*b243 + 724*b243 + 0.1401385*b243^2 + 0.076943*b243*b244 + 
    787*b244 + 0.1538855*b244^2 + 0.116559*b244*b245 + 277*b245 + 0.233118*b245
    ^2 + 0.1337195*b245*b246 + 388*b246 + 0.267439*b246^2 + 0.1480805*b246*b247
     + 853*b247 + 0.296161*b247^2 + 0.0087564*b247*b248 + 1432*b248 + 
    0.01751275*b248^2 + 0.027311*b248*b249 + 541*b249 + 0.054622*b249^2 + 
    0.0748225*b249*b250 + 184*b250 + 0.149645*b250^2 + 0.0668655*b250*b251 + 
    853*b251 + 0.1337305*b251^2 + 0.01976935*b251*b252 + 76*b252 + 0.03953865*
    b252^2 + 0.1904165*b252*b253 + 409*b253 + 0.3808335*b253^2 + 0.091106*b253*
    b254 + 610*b254 + 0.182212*b254^2 + 0.167542*b254*b255 + 232*b255 + 
    0.335084*b255^2 + 0.1378075*b255*b256 + 64*b256 + 0.275615*b256^2 + 
    0.2480485*b256*b257 + 1616*b257 + 0.496097*b257^2 + 0.125834*b257*b258 + 
    483*b258 + 0.251668*b258^2 + 0.03212775*b258*b259 + 417*b259 + 0.0642555*
    b259^2 + 0.084672*b259*b260 + 227*b260 + 0.169344*b260^2 + 0.0436715*b260*
    b261 + 557*b261 + 0.087343*b261^2 + 0.06033*b261*b262 + 215*b262 + 
    0.1206595*b262^2 + 0.181069*b262*b263 + 612*b263 + 0.3621385*b263^2 + 
    0.1628535*b263*b264 + 675*b264 + 0.3257065*b264^2 + 0.0100323*b264*b265 + 
    376*b265 + 0.02006465*b265^2 + 0.01314635*b265*b266 + 767*b266 + 0.0262927*
    b266^2 + 0.159705*b266*b267 + 1367*b267 + 0.31941*b267*b267 + 0.02506525*
    b267*b268 + 777*b268 + 0.0501305*b268^2 + 0.1706175*b268*b269 + 535*b269 + 
    0.341235*b269^2 + 0.123532*b269*b270 + 420*b270 + 0.247064*b270^2 + 
    0.041943*b270*b271 + 824*b271 + 0.083886*b271^2 + 0.075632*b271*b272 + 495*
    b272 + 0.1512645*b272^2 + 0.1851085*b272*b273 + 172*b273 + 0.3702175*b273^2
     + 0.01256775*b273*b274 + 820*b274 + 0.02513555*b274^2 + 0.0903625*b274*
    b275 + 589*b275 + 0.1807245*b275*b275 + 0.1659575*b275*b276 + 256*b276 + 
    0.3319155*b276^2 + 0.17977*b276*b277 + 1053*b277 + 0.35954*b277^2 + 
    0.170006*b277*b278 + 533*b278 + 0.3400125*b278^2 + 0.1125795*b278*b279 + 
    645*b279 + 0.225159*b279^2 + 0.2111735*b279*b280 + 1001*b280 + 0.422347*
    b280^2 + 0.0641255*b280*b281 + 575*b281 + 0.128251*b281^2 + 0.04777975*b281
    *b282 + 76*b282 + 0.0955595*b282^2 + 0.01926115*b282*b283 + 788*b283 + 
    0.03852235*b283*b283 + 0.1273625*b283*b284 + 445*b284 + 0.254725*b284^2 + 
    0.121689*b284*b285 + 333*b285 + 0.243378*b285^2 + 0.174523*b285*b286 + 526*
    b286 + 0.349046*b286^2 + 0.207198*b286*b287 + 557*b287 + 0.4143955*b287^2
     + 0.0755815*b287*b288 + 948*b288 + 0.151163*b288^2 + 0.1076855*b288*b289
     + 196*b289 + 0.2153715*b289^2 + 0.0345415*b289*b290 + 1121*b290 + 0.069083
    *b290^2 + 0.1486155*b290*b291 + 386*b291 + 0.2972305*b291^2 + 0.1477455*
    b291*b292 + 609*b292 + 0.295491*b292^2 + 0.0179688*b292*b293 + 834*b293 + 
    0.0359376*b293^2 + 0.204215*b293*b294 + 826*b294 + 0.4084305*b294^2 + 
    0.03367575*b294*b295 + 458*b295 + 0.0673515*b295*b295 + 0.11837*b295*b296
     + 547*b296 + 0.2367405*b296^2 + 0.061282*b296*b297 + 472*b297 + 0.122564*
    b297^2 + 0.0890255*b297*b298 + 1753*b298 + 0.1780505*b298^2 + 0.161302*b298
    *b299 + 354*b299 + 0.322604*b299^2 + 0.223763*b299*b300 + 966*b300 + 
    0.447526*b300^2 + 0.2480305*b300*b301 + 385*b301 + 0.4960605*b301^2 + 
    0.1594675*b301*b302 + 204*b302 + 0.3189355*b302^2 + 0.216207*b302*b303 + 
    528*b303 + 0.432414*b303^2 + 0.02161885*b303*b304 + 379*b304 + 0.04323765*
    b304^2 + 0.122063*b304*b305 + 419*b305 + 0.244126*b305^2 + 0.1801395*b305*
    b306 + 519*b306 + 0.3602795*b306^2 + 0.064193*b306*b307 + 1140*b307 + 
    0.1283855*b307^2 + 0.209855*b307*b308 + 547*b308 + 0.4197095*b308^2 + 
    0.2248585*b308*b309 + 428*b309 + 0.449717*b309^2 + 0.147517*b309*b310 + 481
    *b310 + 0.2950345*b310^2 + 0.00709625*b310*b311 + 560*b311 + 0.01419245*
    b311*b311 + 0.169366*b311*b312 + 455*b312 + 0.3387315*b312^2 + 0.0131456*
    b312*b313 + 713*b313 + 0.02629125*b313^2 + 0.0852245*b313*b314 + 511*b314
     + 0.1704485*b314^2 + 0.04963725*b314*b315 + 262*b315 + 0.0992745*b315^2 + 
    0.1316085*b315*b316 + 255*b316 + 0.263217*b316^2 + 0.0274205*b316*b317 + 
    420*b317 + 0.054841*b317^2 + 0.203365*b317*b318 + 521*b318 + 0.4067305*b318
    ^2 + 0.055189*b318*b319 + 756*b319 + 0.1103775*b319^2 + 0.1291945*b319*b320
     + 262*b320 + 0.2583885*b320^2 + 0.1421145*b320*b321 + 587*b321 + 0.284229*
    b321^2 + 0.1518745*b321*b322 + 530*b322 + 0.303749*b322^2 + 0.1297915*b322*
    b323 + 874*b323 + 0.259583*b323^2 + 0.13606*b323*b324 + 776*b324 + 
    0.2721195*b324^2 + 0.1714345*b324*b325 + 1077*b325 + 0.342869*b325^2 + 
    0.00804725*b325*b326 + 549*b326 + 0.01609455*b326^2 + 0.1918325*b326*b327
     + 423*b327 + 0.3836655*b327^2 + 0.0125327*b327*b328 + 548*b328 + 0.0250654
    *b328^2 + 0.0581415*b328*b329 + 526*b329 + 0.1162835*b329^2 + 0.2074555*
    b329*b330 + 239*b330 + 0.4149115*b330^2 + 0.2073215*b330*b331 + 902*b331 + 
    0.4146435*b331^2 + 0.1565925*b331*b332 + 607*b332 + 0.313185*b332^2 + 
    0.152754*b332*b333 + 1167*b333 + 0.305508*b333^2 + 0.115732*b333*b334 + 645
    *b334 + 0.231464*b334^2 + 0.241743*b334*b335 + 782*b335 + 0.4834855*b335^2
     + 0.0690815*b335*b336 + 376*b336 + 0.1381635*b336^2 + 0.239173*b336*b337
     + 645*b337 + 0.478346*b337^2 + 0.176526*b337*b338 + 613*b338 + 0.3530525*
    b338^2 + 0.2046825*b338*b339 + 167*b339 + 0.4093645*b339^2 + 0.01071*b339*
    b340 + 755*b340 + 0.02142005*b340^2 + 0.0827575*b340*b341 + 387*b341 + 
    0.165515*b341^2 + 0.1893605*b341*b342 + 557*b342 + 0.3787205*b342^2 + 
    0.1147435*b342*b343 + 436*b343 + 0.229487*b343^2 + 0.0487675*b343*b344 + 
    1071*b344 + 0.097535*b344^2 + 0.21832*b344*b345 + 376*b345 + 0.4366395*b345
    ^2 + 0.091106*b345*b346 + 396*b346 + 0.182212*b346^2 + 0.01832045*b346*b347
     + 628*b347 + 0.03664095*b347^2 + 0.000969735*b347*b348 + 58*b348 + 
    0.001939475*b348*b348 + 0.2441265*b348*b349 + 909*b349 + 0.488253*b349^2 + 
    0.147048*b349*b350 + 865*b350 + 0.2940965*b350^2 + 0.24186*b350*b351 + 479*
    b351 + 0.48372*b351^2 + 0.168912*b351*b352 + 664*b352 + 0.337824*b352^2 + 
    0.02993875*b352*b353 + 403*b353 + 0.0598775*b353^2 + 0.2349805*b353*b354 + 
    516*b354 + 0.469961*b354^2 + 0.2431635*b354*b355 + 1587*b355 + 0.486327*
    b355^2 + 0.07509*b355*b356 + 417*b356 + 0.1501805*b356^2 + 0.11651*b356*
    b357 + 78*b357 + 0.2330205*b357^2 + 0.04839725*b357*b358 + 774*b358 + 
    0.0967945*b358^2 + 0.122988*b358*b359 + 599*b359 + 0.2459765*b359^2 + 
    0.217263*b359*b360 + 217*b360 + 0.4345255*b360^2 + 0.213681*b360*b361 + 727
    *b361 + 0.4273625*b361^2 + 0.1754285*b361*b362 + 695*b362 + 0.3508575*b362^
    2 + 0.0955185*b362*b363 + 218*b363 + 0.191037*b363^2 + 0.00536665*b363*b364
     + 724*b364 + 0.0107333*b364^2 + 0.050981*b364*b365 + 513*b365 + 0.1019625*
    b365^2 + 0.084098*b365*b366 + 579*b366 + 0.168196*b366^2 + 0.123957*b366*
    b367 + 262*b367 + 0.2479135*b367^2 + 0.0646765*b367*b368 + 225*b368 + 
    0.1293525*b368^2 + 0.0391435*b368*b369 + 435*b369 + 0.078287*b369^2 + 
    0.1311875*b369*b370 + 508*b370 + 0.2623755*b370^2 + 0.1785385*b370*b371 + 
    45*b371 + 0.3570775*b371^2 + 0.221146*b371*b372 + 539*b372 + 0.442292*b372^
    2 + 0.1626075*b372*b373 + 1146*b373 + 0.3252155*b373^2 + 0.1701655*b373*
    b374 + 458*b374 + 0.340331*b374^2 + 0.23806*b374*b375 + 645*b375 + 0.47612*
    b375^2 + 0.189011*b375*b376 + 1041*b376 + 0.3780215*b376^2 + 0.1494735*b376
    *b377 + 549*b377 + 0.2989475*b377^2 + 0.222571*b377*b378 + 420*b378 + 
    0.4451415*b378^2 + 0.180792*b378*b379 + 488*b379 + 0.3615835*b379^2 + 
    0.0917765*b379*b380 + 319*b380 + 0.183553*b380^2 + 0.128046*b380*b381 + 485
    *b381 + 0.2560915*b381^2 + 0.248794*b381*b382 + 707*b382 + 0.497588*b382^2
     + 0.03648625*b382*b383 + 605*b383 + 0.0729725*b383^2 + 0.1937195*b383*b384
     + 57*b384 + 0.387439*b384^2 + 0.201185*b384*b385 + 630*b385 + 0.40237*b385
    ^2 + 0.042135*b385*b386 + 552*b386 + 0.08427*b386^2 + 0.0880895*b386*b387
     + 517*b387 + 0.176179*b387^2 + 0.2297695*b387*b388 + 807*b388 + 0.4595385*
    b388^2 + 0.1801105*b388*b389 + 1034*b389 + 0.360221*b389^2 + 0.20646*b389*
    b390 + 220*b390 + 0.41292*b390^2 + 0.21938*b390*b391 + 720*b391 + 0.43876*
    b391^2 + 0.1352*b391*b392 + 522*b392 + 0.2703995*b392^2 + 0.01709625*b392*
    b393 + 577*b393 + 0.0341925*b393^2 + 0.2404155*b393*b394 + 578*b394 + 
    0.480831*b394^2 + 0.1600965*b394*b395 + 591*b395 + 0.320193*b395^2 + 
    0.194757*b395*b396 + 349*b396 + 0.3895145*b396^2 + 0.186763*b396*b397 + 217
    *b397 + 0.373526*b397^2 + 0.1913085*b397*b398 + 720*b398 + 0.3826165*b398^2
     + 0.2117075*b398*b399 + 232*b399 + 0.423415*b399^2 + 0.212159*b399*b400 + 
    366*b400 + 0.424318*b400^2 + 0.054559*b400*b401 + 892*b401 + 0.109118*b401^
    2 + 0.197789*b401*b402 + 1739*b402 + 0.3955785*b402^2 + 0.113098*b402*b403
     + 381*b403 + 0.2261965*b403^2 + 0.06824*b403*b404 + 732*b404 + 0.13648*
    b404^2 + 0.2093285*b404*b405 + 599*b405 + 0.418657*b405^2 + 0.170999*b405*
    b406 + 507*b406 + 0.341998*b406^2 + 0.124026*b406*b407 + 424*b407 + 
    0.248052*b407^2 + 0.230064*b407*b408 + 381*b408 + 0.4601275*b408^2 + 
    0.0167484*b408*b409 + 711*b409 + 0.0334968*b409^2 + 0.086558*b409*b410 + 
    554*b410 + 0.173116*b410^2 + 0.17469*b410*b411 + 753*b411 + 0.34938*b411^2
     + 0.0641145*b411*b412 + 484*b412 + 0.128229*b412^2 + 0.201527*b412*b413 + 
    113*b413 + 0.403054*b413^2 + 0.0691795*b413*b414 + 270*b414 + 0.138359*b414
    ^2 + 0.1356905*b414*b415 + 620*b415 + 0.2713805*b415^2 + 0.1240175*b415*
    b416 + 564*b416 + 0.2480355*b416^2 + 0.111681*b416*b417 + 556*b417 + 
    0.2233625*b417^2 + 0.058395*b417*b418 + 926*b418 + 0.1167895*b418^2 + 
    0.178162*b418*b419 + 437*b419 + 0.3563245*b419^2 + 0.2102915*b419*b420 + 
    414*b420 + 0.420583*b420^2 + 0.1574335*b420*b421 + 408*b421 + 0.314867*b421
    ^2 + 0.12638*b421*b422 + 842*b422 + 0.2527595*b422^2 + 0.185073*b422*b423
     + 93*b423 + 0.370146*b423^2 + 0.04153275*b423*b424 + 433*b424 + 0.0830655*
    b424^2 + 0.1709085*b424*b425 + 258*b425 + 0.3418165*b425^2 + 0.2211895*b425
    *b426 + 471*b426 + 0.4423785*b426^2 + 0.173745*b426*b427 + 510*b427 + 
    0.3474905*b427^2 + 0.0568035*b427*b428 + 358*b428 + 0.113607*b428^2 + 
    0.102089*b428*b429 + 547*b429 + 0.2041775*b429^2 + 0.1583255*b429*b430 + 
    551*b430 + 0.3166505*b430^2 + 0.0611025*b430*b431 + 337*b431 + 0.122205*
    b431^2 + 0.232281*b431*b432 + 671*b432 + 0.4645625*b432^2 + 0.2367735*b432*
    b433 + 674*b433 + 0.473547*b433^2 + 0.1137545*b433*b434 + 434*b434 + 
    0.2275085*b434^2 + 0.154099*b434*b435 + 660*b435 + 0.3081985*b435^2 + 
    0.057774*b435*b436 + 1110*b436 + 0.1155485*b436^2 + 0.101161*b436*b437 + 
    332*b437 + 0.202322*b437^2 + 0.1704665*b437*b438 + 915*b438 + 0.3409325*
    b438^2 + 0.104365*b438*b439 + 373*b439 + 0.20873*b439^2 + 0.149025*b439*
    b440 + 646*b440 + 0.2980505*b440^2 + 0.227444*b440*b441 + 533*b441 + 
    0.4548875*b441^2 + 0.196833*b441*b442 + 532*b442 + 0.393666*b442^2 + 
    0.179685*b442*b443 + 999*b443 + 0.3593705*b443^2 + 0.208424*b443*b444 + 543
    *b444 + 0.416848*b444^2 + 0.1947405*b444*b445 + 439*b445 + 0.389481*b445^2
     + 0.135718*b445*b446 + 1303*b446 + 0.271436*b446^2 + 0.0108842*b446*b447
     + 771*b447 + 0.0217684*b447^2 + 0.03486975*b447*b448 + 381*b448 + 
    0.0697395*b448*b448 + 0.01791805*b448*b449 + 148*b449 + 0.03583605*b449^2
     + 0.104825*b449*b450 + 577*b450 + 0.2096505*b450^2 + 0.170965*b450*b451 + 
    413*b451 + 0.34193*b451^2 + 0.0415145*b451*b452 + 335*b452 + 0.083029*b452^
    2 + 0.0608225*b452*b453 + 580*b453 + 0.1216445*b453^2 + 0.167391*b453*b454
     + 500*b454 + 0.3347825*b454^2 + 0.1972135*b454*b455 + 729*b455 + 0.3944265
    *b455^2 + 0.0528085*b455*b456 + 660*b456 + 0.1056165*b456^2 + 0.146016*b456
    *b457 + 1243*b457 + 0.292032*b457^2 + 0.1764775*b457*b458 + 1386*b458 + 
    0.3529545*b458^2 + 0.066193*b458*b459 + 370*b459 + 0.132386*b459^2 + 
    0.234968*b459*b460 + 430*b460 + 0.4699365*b460^2 + 0.1208945*b460*b461 + 
    396*b461 + 0.2417895*b461^2 + 0.0325995*b461*b462 + 994*b462 + 0.065199*
    b462^2 + 0.053265*b462*b463 + 1085*b463 + 0.10653*b463^2 + 0.2038735*b463*
    b464 + 397*b464 + 0.407747*b464^2 + 0.107034*b464*b465 + 675*b465 + 
    0.2140685*b465^2 + 0.235035*b465*b466 + 418*b466 + 0.47007*b466^2 + 
    0.017999*b466*b467 + 460*b467 + 0.035998*b467^2 + 0.2242105*b467*b468 + 417
    *b468 + 0.4484215*b468^2 + 0.0044645*b468*b469 + 628*b469 + 0.008929*b469^2
     + 0.1773555*b469*b470 + 699*b470 + 0.354711*b470^2 + 0.1486995*b470*b471
     + 1074*b471 + 0.297399*b471^2 + 0.081858*b471*b472 + 299*b472 + 0.163716*
    b472^2 + 0.034955*b472*b473 + 585*b473 + 0.06991*b473^2 + 0.2180815*b473*
    b474 + 200*b474 + 0.436163*b474^2 + 0.0686185*b474*b475 + 884*b475 + 
    0.137237*b475^2 + 0.088733*b475*b476 + 480*b476 + 0.177466*b476^2 + 
    0.053482*b476*b477 + 431*b477 + 0.1069635*b477^2 + 0.123997*b477*b478 + 700
    *b478 + 0.2479935*b478^2 + 0.0947665*b478*b479 + 468*b479 + 0.189533*b479*
    b479 + 0.05995*b479*b480 + 1269*b480 + 0.1199005*b480^2 + 0.2117855*b480*
    b481 + 420*b481 + 0.4235705*b481^2 + 0.00643455*b481*b482 + 480*b482 + 
    0.0128691*b482^2 + 0.09581*b482*b483 + 455*b483 + 0.19162*b483*b483 + 
    0.03256675*b483*b484 + 501*b484 + 0.0651335*b484^2 + 0.1486495*b484*b485 + 
    397*b485 + 0.2972995*b485^2 + 0.1038985*b485*b486 + 709*b486 + 0.207797*
    b486^2 + 0.1154115*b486*b487 + 618*b487 + 0.2308225*b487^2 + 0.1204905*b487
    *b488 + 746*b488 + 0.240981*b488^2 + 0.133699*b488*b489 + 1295*b489 + 
    0.2673975*b489^2 + 0.1232715*b489*b490 + 735*b490 + 0.246543*b490^2 + 
    0.06401*b490*b491 + 540*b491 + 0.12802*b491*b491 + 0.0084129*b491*b492 + 
    466*b492 + 0.01682585*b492^2 + 0.1845175*b492*b493 + 84*b493 + 0.369035*
    b493^2 + 0.061449*b493*b494 + 399*b494 + 0.1228985*b494^2 + 0.225105*b494*
    b495 + 440*b495 + 0.45021*b495^2 + 0.182765*b495*b496 + 431*b496 + 
    0.3655305*b496^2 + 0.210298*b496*b497 + 149*b497 + 0.4205955*b497^2 + 
    0.2071545*b497*b498 + 417*b498 + 0.4143085*b498^2 + 0.1774475*b498*b499 + 
    441*b499 + 0.3548945*b499^2 + 0.136842*b499*b500 + 974*b500 + 0.2736845*
    b500^2 + 0.216467*b500*b501 + 1066*b501 + 0.4329345*b501^2 + 0.096536*b501*
    b502 + 664*b502 + 0.193072*b502^2 + 0.1082175*b502*b503 + 395*b503 + 
    0.2164345*b503^2 + 0.124445*b503*b504 + 416*b504 + 0.24889*b504^2 + 
    0.244123*b504*b505 + 427*b505 + 0.488246*b505^2 + 0.230639*b505*b506 + 399*
    b506 + 0.4612785*b506^2 + 0.232508*b506*b507 + 935*b507 + 0.4650155*b507^2
     + 0.234257*b507*b508 + 432*b508 + 0.468514*b508^2 + 0.0594985*b508*b509 + 
    456*b509 + 0.1189965*b509^2 + 0.1480335*b509*b510 + 886*b510 + 0.296067*
    b510^2 + 0.1224165*b510*b511 + 516*b511 + 0.2448325*b511^2 + 0.166871*b511*
    b512 + 449*b512 + 0.333742*b512^2 + 0.1452375*b512*b513 + 293*b513 + 
    0.290475*b513^2 + 0.1953865*b513*b514 + 534*b514 + 0.390773*b514^2 + 
    0.1623815*b514*b515 + 487*b515 + 0.3247625*b515^2 + 0.060876*b515*b516 + 
    1080*b516 + 0.121752*b516^2 + 0.02249695*b516*b517 + 752*b517 + 0.04499395*
    b517^2 + 0.14833*b517*b518 + 306*b518 + 0.2966595*b518^2 + 0.065814*b518*
    b519 + 479*b519 + 0.131628*b519^2 + 0.1659035*b519*b520 + 902*b520 + 
    0.3318065*b520^2 + 0.197385*b520*b521 + 150*b521 + 0.39477*b521^2 + 
    0.161245*b521*b522 + 57*b522 + 0.32249*b522^2 + 0.144657*b522*b523 + 381*
    b523 + 0.2893135*b523^2 + 0.224292*b523*b524 + 405*b524 + 0.4485835*b524^2
     + 0.034003*b524*b525 + 399*b525 + 0.068006*b525^2 + 0.091808*b525*b526 + 
    516*b526 + 0.183616*b526^2 + 0.181443*b526*b527 + 123*b527 + 0.362886*b527^
    2 + 0.123902*b527*b528 + 452*b528 + 0.2478035*b528^2 + 0.1908305*b528*b529
     + 812*b529 + 0.381661*b529^2 + 0.0714855*b529*b530 + 705*b530 + 0.142971*
    b530^2 + 0.1811715*b530*b531 + 260*b531 + 0.362343*b531^2 + 0.1254895*b531*
    b532 + 475*b532 + 0.250979*b532^2 + 0.0717215*b532*b533 + 332*b533 + 
    0.1434425*b533^2 + 0.0511795*b533*b534 + 495*b534 + 0.1023585*b534^2 + 
    0.1627105*b534*b535 + 531*b535 + 0.3254215*b535^2 + 0.04358525*b535*b536 + 
    229*b536 + 0.0871705*b536^2 + 0.073608*b536*b537 + 695*b537 + 0.147216*b537
    ^2 + 0.00587685*b537*b538 + 1084*b538 + 0.0117537*b538^2 + 0.1965765*b538*
    b539 + 419*b539 + 0.3931535*b539^2 + 0.248149*b539*b540 + 397*b540 + 
    0.496298*b540^2 + 0.197451*b540*b541 + 379*b541 + 0.3949025*b541^2 + 
    0.03055675*b541*b542 + 69*b542 + 0.0611135*b542^2 + 0.187009*b542*b543 + 
    793*b543 + 0.3740185*b543^2 + 0.00056652*b543*b544 + 634*b544 + 0.00113304*
    b544^2 + 0.0837835*b544*b545 + 563*b545 + 0.1675665*b545^2 + 0.229223*b545*
    b546 + 223*b546 + 0.4584465*b546^2 + 0.0314755*b546*b547 + 488*b547 + 
    0.062951*b547^2 + 0.1002125*b547*b548 + 575*b548 + 0.200425*b548^2 + 
    0.1886335*b548*b549 + 171*b549 + 0.377267*b549^2 + 0.065607*b549*b550 + 700
    *b550 + 0.131214*b550^2 + 0.1819365*b550*b551 + 483*b551 + 0.363873*b551^2
     + 0.041493*b551*b552 + 511*b552 + 0.082986*b552^2 + 0.1834*b552*b553 + 261
    *b553 + 0.3667995*b553^2 + 0.1164135*b553*b554 + 399*b554 + 0.232827*b554^2
     + 0.137635*b554*b555 + 743*b555 + 0.27527*b555^2 + 0.167064*b555*b556 + 
    429*b556 + 0.3341285*b556^2 + 0.078734*b556*b557 + 497*b557 + 0.1574675*
    b557^2 + 0.1741515*b557*b558 + 314*b558 + 0.348303*b558^2 + 0.136558*b558*
    b559 + 369*b559 + 0.2731165*b559^2 + 0.123195*b559*b560 + 619*b560 + 
    0.24639*b560^2 + 0.04330325*b560*b561 + 223*b561 + 0.0866065*b561^2 + 
    0.0895815*b561*b562 + 611*b562 + 0.179163*b562^2 + 0.227589*b562*b563 + 
    1476*b563 + 0.455178*b563^2 + 0.209525*b563*b564 + 550*b564 + 0.4190505*
    b564^2 + 0.2440855*b564*b565 + 500*b565 + 0.488171*b565^2 + 0.066335*b565*
    b566 + 689*b566 + 0.13267*b566^2 + 0.04973325*b566*b567 + 525*b567 + 
    0.0994665*b567^2 + 0.242538*b567*b568 + 259*b568 + 0.485076*b568^2 + 
    0.174588*b568*b569 + 895*b569 + 0.349176*b569^2 + 0.181792*b569*b570 + 421*
    b570 + 0.363584*b570^2 + 0.148432*b570*b571 + 328*b571 + 0.2968635*b571^2
     + 0.210877*b571*b572 + 261*b572 + 0.4217535*b572^2 + 0.0617295*b572*b573
     + 373*b573 + 0.1234595*b573^2 + 0.1021255*b573*b574 + 789*b574 + 0.204251*
    b574^2 + 0.2060815*b574*b575 + 851*b575 + 0.412163*b575^2 + 0.245385*b575*
    b576 + 594*b576 + 0.4907695*b576^2 + 0.19129*b576*b577 + 419*b577 + 
    0.3825795*b577^2 + 0.189414*b577*b578 + 682*b578 + 0.378828*b578^2 + 
    0.03800425*b578*b579 + 646*b579 + 0.0760085*b579^2 + 0.1687055*b579*b580 + 
    564*b580 + 0.337411*b580^2 + 0.2067915*b580*b581 + 1273*b581 + 0.413583*
    b581^2 + 0.2175305*b581*b582 + 286*b582 + 0.4350605*b582^2 + 0.204854*b582*
    b583 + 680*b583 + 0.4097085*b583^2 + 0.00751*b583*b584 + 563*b584 + 
    0.01501995*b584^2 + 0.074486*b584*b585 + 786*b585 + 0.1489715*b585^2 + 
    0.2254455*b585*b586 + 1332*b586 + 0.450891*b586^2 + 0.1770625*b586*b587 + 
    972*b587 + 0.3541245*b587^2 + 0.0741685*b587*b588 + 429*b588 + 0.1483365*
    b588^2 + 0.04613975*b588*b589 + 516*b589 + 0.0922795*b589^2 + 0.112685*b589
    *b590 + 401*b590 + 0.22537*b590^2 + 0.198031*b590*b591 + 746*b591 + 
    0.3960615*b591^2 + 0.088715*b591*b592 + 663*b592 + 0.17743*b592^2 + 
    0.0694345*b592*b593 + 1081*b593 + 0.1388685*b593^2 + 0.1377615*b593*b594 + 
    344*b594 + 0.275523*b594^2 + 0.21144*b594*b595 + 424*b595 + 0.42288*b595^2
     + 0.00739745*b595*b596 + 393*b596 + 0.01479495*b596^2 + 0.1911165*b596*
    b597 + 214*b597 + 0.382233*b597^2 + 0.2258485*b597*b598 + 759*b598 + 
    0.4516975*b598^2 + 0.2050125*b598*b599 + 331*b599 + 0.4100245*b599^2 + 
    0.245048*b599*b600 + 701*b600 + 0.4900965*b600^2 + 0.2238805*b600*b601 + 
    441*b601 + 0.4477615*b601^2 + 0.00195228*b601*b602 + 576*b602 + 0.00390456*
    b602^2 + 0.2301075*b602*b603 + 664*b603 + 0.4602155*b603*b603 + 0.1725135*
    b603*b604 + 352*b604 + 0.3450275*b604^2 + 0.0051009*b604*b605 + 51*b605 + 
    0.0102018*b605^2 + 0.175826*b605*b606 + 424*b606 + 0.3516525*b606^2 + 
    0.061201*b606*b607 + 287*b607 + 0.1224025*b607*b607 + 0.2293605*b607*b608
     + 686*b608 + 0.458721*b608^2 + 0.145006*b608*b609 + 521*b609 + 0.290012*
    b609^2 + 0.047046*b609*b610 + 559*b610 + 0.094092*b610^2 + 0.00679365*b610*
    b611 + 560*b611 + 0.01358735*b611*b611 + 0.002324005*b611*b612 + 828*b612
     + 0.004648005*b612^2 + 0.122216*b612*b613 + 634*b613 + 0.2444325*b613^2 + 
    0.0054846*b613*b614 + 609*b614 + 0.0109692*b614^2 + 0.1209585*b614*b615 + 
    763*b615 + 0.241917*b615^2 + 0.0985845*b615*b616 + 687*b616 + 0.197169*b616
    ^2 + 0.2098665*b616*b617 + 125*b617 + 0.4197335*b617^2 + 0.0620855*b617*
    b618 + 203*b618 + 0.1241705*b618^2 + 0.01485565*b618*b619 + 425*b619 + 
    0.0297113*b619^2 + 0.1424065*b619*b620 + 687*b620 + 0.2848135*b620^2 + 
    0.1703465*b620*b621 + 694*b621 + 0.3406925*b621^2 + 0.1912565*b621*b622 + 
    801*b622 + 0.382513*b622^2 + 0.0460025*b622*b623 + 326*b623 + 0.092005*b623
    ^2 + 0.0757635*b623*b624 + 119*b624 + 0.1515265*b624^2 + 0.071858*b624*b625
     + 916*b625 + 0.1437165*b625^2 + 0.232061*b625*b626 + 393*b626 + 0.4641225*
    b626^2 + 0.2067395*b626*b627 + 1237*b627 + 0.413479*b627^2 + 0.093634*b627*
    b628 + 363*b628 + 0.1872675*b628^2 + 0.052927*b628*b629 + 1286*b629 + 
    0.1058535*b629^2 + 0.204773*b629*b630 + 639*b630 + 0.4095455*b630^2 + 
    0.0258575*b630*b631 + 712*b631 + 0.051715*b631^2 + 0.0871475*b631*b632 + 
    595*b632 + 0.1742955*b632^2 + 0.1287445*b632*b633 + 430*b633 + 0.257489*
    b633^2 + 0.03204875*b633*b634 + 638*b634 + 0.0640975*b634^2 + 0.1852775*
    b634*b635 + 701*b635 + 0.370555*b635^2 + 0.1310455*b635*b636 + 180*b636 + 
    0.2620915*b636^2 + 0.224206*b636*b637 + 526*b637 + 0.4484125*b637^2 + 
    0.1628535*b637*b638 + 614*b638 + 0.3257075*b638^2 + 0.077398*b638*b639 + 
    456*b639 + 0.154796*b639^2 + 0.1773155*b639*b640 + 509*b640 + 0.354631*b640
    ^2 + 0.073195*b640*b641 + 866*b641 + 0.1463895*b641^2 + 0.1222245*b641*b642
     + 387*b642 + 0.244449*b642^2 + 0.1803495*b642*b643 + 657*b643 + 0.360699*
    b643^2 + 0.0719365*b643*b644 + 763*b644 + 0.1438735*b644^2 + 0.1817365*b644
    *b645 + 666*b645 + 0.363473*b645^2 + 0.179438*b645*b646 + 232*b646 + 
    0.3588755*b646^2 + 0.0130395*b646*b647 + 595*b647 + 0.02607895*b647^2 + 
    0.056822*b647*b648 + 431*b648 + 0.1136445*b648^2 + 0.205092*b648*b649 + 217
    *b649 + 0.410184*b649^2 + 0.0894615*b649*b650 + 529*b650 + 0.178923*b650^2
     + 0.2223275*b650*b651 + 645*b651 + 0.4446545*b651^2 + 0.0418645*b651*b652
     + 564*b652 + 0.083729*b652^2 + 0.0600165*b652*b653 + 498*b653 + 0.120033*
    b653^2 + 0.1178925*b653*b654 + 252*b654 + 0.235785*b654^2 + 0.1200055*b654*
    b655 + 436*b655 + 0.2400115*b655^2 + 0.1430685*b655*b656 + 245*b656 + 
    0.2861365*b656^2 + 0.1723445*b656*b657 + 1543*b657 + 0.3446885*b657^2 + 
    0.18106*b657*b658 + 862*b658 + 0.36212*b658^2 + 0.2431845*b658*b659 + 368*
    b659 + 0.486369*b659^2 + 0.1615805*b659*b660 + 520*b660 + 0.323161*b660^2
     + 0.164143*b660*b661 + 503*b661 + 0.328286*b661^2 + 0.078865*b661*b662 + 
    836*b662 + 0.15773*b662^2 + 0.1095825*b662*b663 + 550*b663 + 0.2191645*b663
    ^2 + 0.052196*b663*b664 + 897*b664 + 0.104392*b664^2 + 0.0804175*b664*b665
     + 820*b665 + 0.1608355*b665^2 + 0.160447*b665*b666 + 778*b666 + 0.320894*
    b666^2 + 0.0661655*b666*b667 + 906*b667 + 0.132331*b667^2 + 0.0799375*b667*
    b668 + 712*b668 + 0.1598745*b668^2 + 0.0624695*b668*b669 + 501*b669 + 
    0.1249395*b669^2 + 0.0852615*b669*b670 + 949*b670 + 0.170523*b670^2 + 
    0.160895*b670*b671 + 869*b671 + 0.32179*b671^2 + 0.104386*b671*b672 + 501*
    b672 + 0.208772*b672^2 + 0.2356455*b672*b673 + 255*b673 + 0.4712905*b673^2
     + 0.179394*b673*b674 + 1122*b674 + 0.358788*b674^2 + 0.055734*b674*b675 + 
    910*b675 + 0.111468*b675^2 + 0.1790115*b675*b676 + 1051*b676 + 0.358023*
    b676^2 + 0.2172525*b676*b677 + 741*b677 + 0.4345055*b677^2 + 0.1488885*b677
    *b678 + 486*b678 + 0.297777*b678^2 + 0.1168325*b678*b679 + 534*b679 + 
    0.2336655*b679^2 + 0.01917635*b679*b680 + 396*b680 + 0.0383527*b680*b680 + 
    0.179936*b680*b681 + 441*b681 + 0.359872*b681^2 + 0.14329*b681*b682 + 613*
    b682 + 0.28658*b682^2 + 0.2424495*b682*b683 + 962*b683 + 0.4848985*b683^2
     + 0.033658*b683*b684 + 351*b684 + 0.067316*b684^2 + 0.035785*b684*b685 + 
    1320*b685 + 0.07157*b685^2 + 0.168142*b685*b686 + 504*b686 + 0.336284*b686^
    2 + 0.225838*b686*b687 + 642*b687 + 0.4516765*b687^2 + 0.107222*b687*b688
     + 962*b688 + 0.214444*b688^2 + 0.0791175*b688*b689 + 530*b689 + 0.1582345*
    b689^2 + 0.1330785*b689*b690 + 241*b690 + 0.2661565*b690^2 + 0.144296*b690*
    b691 + 245*b691 + 0.2885925*b691^2 + 0.110427*b691*b692 + 1249*b692 + 
    0.2208535*b692^2 + 0.0561595*b692*b693 + 951*b693 + 0.112319*b693^2 + 
    0.098982*b693*b694 + 790*b694 + 0.1979645*b694^2 + 0.2185805*b694*b695 + 
    439*b695 + 0.437161*b695^2 + 0.177454*b695*b696 + 1163*b696 + 0.354908*b696
    ^2 + 0.223516*b696*b697 + 488*b697 + 0.447032*b697^2 + 0.0726775*b697*b698
     + 353*b698 + 0.145355*b698^2 + 0.1680155*b698*b699 + 993*b699 + 0.336031*
    b699^2 + 0.1979935*b699*b700 + 416*b700 + 0.3959865*b700^2 + 0.21158*b700*
    b701 + 299*b701 + 0.42316*b701^2 + 0.1026585*b701*b702 + 545*b702 + 
    0.205317*b702^2 + 0.16843*b702*b703 + 674*b703 + 0.33686*b703^2 + 0.1351845
    *b703*b704 + 452*b704 + 0.2703685*b704^2 + 0.2135905*b704*b705 + 659*b705
     + 0.4271815*b705^2 + 0.0636145*b705*b706 + 771*b706 + 0.127229*b706^2 + 
    0.144969*b706*b707 + 635*b707 + 0.2899385*b707^2 + 0.00026039*b707*b708 + 
    479*b708 + 0.00052078*b708*b708 + 0.2017285*b708*b709 + 262*b709 + 0.403457
    *b709^2 + 0.2396605*b709*b710 + 399*b710 + 0.479321*b710^2 + 0.02102935*
    b710*b711 + 525*b711 + 0.04205875*b711^2 + 0.099694*b711*b712 + 460*b712 + 
    0.199388*b712^2 + 0.146252*b712*b713 + 442*b713 + 0.292504*b713^2 + 
    0.0129523*b713*b714 + 197*b714 + 0.0259046*b714^2 + 0.0708645*b714*b715 + 
    799*b715 + 0.141729*b715^2 + 0.2221*b715*b716 + 562*b716 + 0.4442*b716^2 + 
    0.0211291*b716*b717 + 825*b717 + 0.04225815*b717^2 + 0.0249579*b717*b718 + 
    202*b718 + 0.04991585*b718^2 + 0.0626035*b718*b719 + 700*b719 + 0.125207*
    b719^2 + 0.0841235*b719*b720 + 340*b720 + 0.1682475*b720^2 + 0.2298725*b720
    *b721 + 725*b721 + 0.459745*b721^2 + 0.14757*b721*b722 + 635*b722 + 0.29514
    *b722^2 + 0.2122025*b722*b723 + 1536*b723 + 0.4244055*b723^2 + 0.184072*
    b723*b724 + 616*b724 + 0.3681445*b724^2 + 0.1876965*b724*b725 + 746*b725 + 
    0.3753935*b725^2 + 0.2320685*b725*b726 + 316*b726 + 0.4641375*b726^2 + 
    0.126063*b726*b727 + 712*b727 + 0.2521255*b727^2 + 0.243678*b727*b728 + 485
    *b728 + 0.487356*b728^2 + 0.106277*b728*b729 + 842*b729 + 0.212554*b729^2
     + 0.1820315*b729*b730 + 661*b730 + 0.3640625*b730^2 + 0.0761745*b730*b731
     + 623*b731 + 0.152349*b731^2 + 0.109002*b731*b732 + 438*b732 + 0.2180045*
    b732^2 + 0.0353465*b732*b733 + 769*b733 + 0.070693*b733^2 + 0.0926115*b733*
    b734 + 927*b734 + 0.185223*b734^2 + 0.0228354*b734*b735 + 607*b735 + 
    0.0456708*b735^2 + 0.0946475*b735*b736 + 229*b736 + 0.1892945*b736^2 + 
    0.1131095*b736*b737 + 395*b737 + 0.226219*b737^2 + 0.057157*b737*b738 + 540
    *b738 + 0.114314*b738^2 + 0.120412*b738*b739 + 410*b739 + 0.240824*b739^2
     + 0.1045125*b739*b740 + 811*b740 + 0.209025*b740^2 + 0.122103*b740*b741 + 
    1064*b741 + 0.244206*b741^2 + 0.0884675*b741*b742 + 604*b742 + 0.176935*
    b742^2 + 0.1572145*b742*b743 + 649*b743 + 0.3144295*b743^2 + 0.193781*b743*
    b744 + 590*b744 + 0.3875625*b744^2 + 0.0795645*b744*b745 + 538*b745 + 
    0.159129*b745^2 + 0.131286*b745*b746 + 601*b746 + 0.2625725*b746^2 + 
    0.154247*b746*b747 + 452*b747 + 0.308494*b747^2 + 0.055202*b747*b748 + 692*
    b748 + 0.1104035*b748^2 + 0.225865*b748*b749 + 546*b749 + 0.45173*b749^2 + 
    0.09691*b749*b750 + 1121*b750 + 0.1938195*b750^2 + 0.0354445*b750*b751 + 
    924*b751 + 0.070889*b751^2 + 0.1178225*b751*b752 + 483*b752 + 0.235645*b752
    ^2 + 0.066385*b752*b753 + 229*b753 + 0.1327695*b753^2 + 0.220599*b753*b754
     + 121*b754 + 0.4411975*b754^2 + 0.0163922*b754*b755 + 722*b755 + 
    0.03278445*b755^2 + 0.0063954*b755*b756 + 1402*b756 + 0.0127908*b756*b756
     + 0.23486*b756*b757 + 368*b757 + 0.4697195*b757^2 + 0.0071908*b757*b758 + 
    698*b758 + 0.01438165*b758^2 + 0.1054975*b758*b759 + 454*b759 + 0.2109945*
    b759^2 + 0.047151*b759*b760 + 435*b760 + 0.094302*b760*b760 + 0.0624355*
    b760*b761 + 528*b761 + 0.124871*b761^2 + 0.0449115*b761*b762 + 540*b762 + 
    0.089823*b762^2 + 0.0050734*b762*b763 + 384*b763 + 0.0101468*b763^2 + 
    0.0426485*b763*b764 + 529*b764 + 0.085297*b764*b764 + 0.087894*b764*b765 + 
    471*b765 + 0.1757875*b765^2 + 0.122425*b765*b766 + 433*b766 + 0.24485*b766^
    2 + 0.22798*b766*b767 + 762*b767 + 0.45596*b767^2 + 0.114992*b767*b768 + 
    214*b768 + 0.2299835*b768^2 + 0.1016975*b768*b769 + 651*b769 + 0.203395*
    b769^2 + 0.082718*b769*b770 + 628*b770 + 0.165436*b770^2 + 0.2040895*b770*
    b771 + 716*b771 + 0.408179*b771^2 + 0.0759225*b771*b772 + 477*b772 + 
    0.151845*b772^2 + 0.126769*b772*b773 + 567*b773 + 0.2535375*b773^2 + 
    0.174083*b773*b774 + 433*b774 + 0.3481655*b774^2 + 0.066769*b774*b775 + 477
    *b775 + 0.1335375*b775^2 + 0.0615865*b775*b776 + 598*b776 + 0.1231725*b776^
    2 + 0.2114625*b776*b777 + 743*b777 + 0.422925*b777^2 + 0.048654*b777*b778
     + 953*b778 + 0.097308*b778^2 + 0.208967*b778*b779 + 618*b779 + 0.417934*
    b779^2 + 0.1444315*b779*b780 + 395*b780 + 0.2888625*b780^2 + 0.04046125*
    b780*b781 + 330*b781 + 0.0809225*b781^2 + 0.211636*b781*b782 + 395*b782 + 
    0.4232715*b782^2 + 0.1690405*b782*b783 + 578*b783 + 0.3380805*b783^2 + 
    0.01460485*b783*b784 + 572*b784 + 0.0292097*b784*b784 + 0.0186642*b784*b785
     + 581*b785 + 0.03732835*b785^2 + 0.06394*b785*b786 + 756*b786 + 0.1278795*
    b786^2 + 0.1212585*b786*b787 + 426*b787 + 0.242517*b787^2 + 0.078809*b787*
    b788 + 723*b788 + 0.1576185*b788*b788 + 0.0357515*b788*b789 + 883*b789 + 
    0.071503*b789^2 + 0.143029*b789*b790 + 997*b790 + 0.2860575*b790^2 + 
    0.001594865*b790*b791 + 414*b791 + 0.003189735*b791^2 + 0.130597*b791*b792
     + 263*b792 + 0.2611945*b792^2 + 0.04766375*b792*b793 + 505*b793 + 
    0.0953275*b793^2 + 0.0189604*b793*b794 + 869*b794 + 0.03792085*b794^2 + 
    0.0424375*b794*b795 + 610*b795 + 0.084875*b795^2 + 0.043066*b795*b796 + 351
    *b796 + 0.086132*b796^2 + 0.234831*b796*b797 + 466*b797 + 0.469662*b797^2
     + 0.1803395*b797*b798 + 661*b798 + 0.3606795*b798^2 + 0.053355*b798*b799
     + 465*b799 + 0.1067105*b799^2 + 0.127715*b799*b800 + 922*b800 + 0.25543*
    b800^2 + 0.03762075*b800*b801 + 393*b801 + 0.0752415*b801^2 + 0.061451*b801
    *b802 + 994*b802 + 0.1229025*b802^2 + 0.1029205*b802*b803 + 545*b803 + 
    0.205841*b803^2 + 0.17505*b803*b804 + 671*b804 + 0.3500995*b804^2 + 
    0.221368*b804*b805 + 664*b805 + 0.4427365*b805^2 + 0.1748165*b805*b806 + 
    1362*b806 + 0.3496325*b806^2 + 0.093024*b806*b807 + 459*b807 + 0.186048*
    b807^2 + 0.117204*b807*b808 + 396*b808 + 0.234408*b808^2 + 0.106415*b808*
    b809 + 386*b809 + 0.2128295*b809^2 + 0.229464*b809*b810 + 581*b810 + 
    0.458928*b810^2 + 0.173748*b810*b811 + 810*b811 + 0.3474965*b811^2 + 
    0.1129875*b811*b812 + 645*b812 + 0.2259755*b812^2 + 0.0725515*b812*b813 + 
    451*b813 + 0.145103*b813^2 + 0.02590175*b813*b814 + 599*b814 + 0.0518035*
    b814^2 + 0.0626305*b814*b815 + 568*b815 + 0.125261*b815^2 + 0.029613*b815*
    b816 + 657*b816 + 0.059226*b816^2 + 0.09952*b816*b817 + 418*b817 + 0.19904*
    b817^2 + 0.004721425*b817*b818 + 1154*b818 + 0.00944285*b818^2 + 0.207103*
    b818*b819 + 344*b819 + 0.4142065*b819^2 + 0.0718215*b819*b820 + 424*b820 + 
    0.1436425*b820^2 + 0.125142*b820*b821 + 1052*b821 + 0.250284*b821^2 + 
    0.04804125*b821*b822 + 933*b822 + 0.0960825*b822^2 + 0.0106106*b822*b823 + 
    1022*b823 + 0.02122115*b823^2 + 0.0720385*b823*b824 + 913*b824 + 0.144077*
    b824^2 + 0.199982*b824*b825 + 993*b825 + 0.399964*b825^2 + 0.0871525*b825*
    b826 + 649*b826 + 0.174305*b826^2 + 0.115589*b826*b827 + 556*b827 + 
    0.2311775*b827^2 + 0.240723*b827*b828 + 612*b828 + 0.481446*b828^2 + 
    0.00126487*b828*b829 + 604*b829 + 0.002529745*b829*b829 + 0.22176*b829*b830
     + 512*b830 + 0.44352*b830^2 + 0.2357845*b830*b831 + 837*b831 + 0.4715695*
    b831^2 + 0.0144713*b831*b832 + 63*b832 + 0.02894255*b832^2 + 0.02933925*
    b832*b833 + 672*b833 + 0.0586785*b833*b833 + 0.04081375*b833*b834 + 492*
    b834 + 0.0816275*b834^2 + 0.0634565*b834*b835 + 808*b835 + 0.126913*b835^2
     + 0.195955*b835*b836 + 555*b836 + 0.3919095*b836^2 + 0.204923*b836*b837 + 
    491*b837 + 0.409846*b837*b837 + 0.033128*b837*b838 + 1014*b838 + 0.066256*
    b838^2 + 0.128743*b838*b839 + 596*b839 + 0.257486*b839^2 + 0.2087835*b839*
    b840 + 255*b840 + 0.4175665*b840^2 + 0.0715615*b840*b841 + 688*b841 + 
    0.1431235*b841^2 + 0.073854*b841*b842 + 560*b842 + 0.1477085*b842^2 + 
    0.237192*b842*b843 + 1053*b843 + 0.4743845*b843^2 + 0.132862*b843*b844 + 
    460*b844 + 0.265724*b844^2 + 0.171135*b844*b845 + 256*b845 + 0.3422705*b845
    ^2 + 0.238047*b845*b846 + 562*b846 + 0.476094*b846^2 + 0.0822265*b846*b847
     + 710*b847 + 0.164453*b847^2 + 0.0168043*b847*b848 + 1195*b848 + 
    0.03360855*b848^2 + 0.2413705*b848*b849 + 462*b849 + 0.4827405*b849*b849 + 
    0.237394*b849*b850 + 422*b850 + 0.474788*b850^2 + 0.2470245*b850*b851 + 926
    *b851 + 0.494049*b851^2 + 0.00745685*b851*b852 + 657*b852 + 0.01491365*b852
    ^2 + 0.0855175*b852*b853 + 917*b853 + 0.1710345*b853*b853 + 0.045215*b853*
    b854 + 320*b854 + 0.09043*b854^2 + 0.0735765*b854*b855 + 190*b855 + 
    0.147153*b855^2 + 0.236878*b855*b856 + 382*b856 + 0.473756*b856^2 + 
    0.01089575*b856*b857 + 468*b857 + 0.02179145*b857*b857 + 0.166637*b857*b858
     + 973*b858 + 0.3332735*b858^2 + 0.174912*b858*b859 + 359*b859 + 0.349824*
    b859^2 + 0.233923*b859*b860 + 310*b860 + 0.4678465*b860^2 + 0.1847035*b860*
    b861 + 632*b861 + 0.369407*b861^2 + 0.0424325*b861*b862 + 470*b862 + 
    0.084865*b862^2 + 0.0417155*b862*b863 + 416*b863 + 0.083431*b863^2 + 
    0.0886155*b863*b864 + 628*b864 + 0.1772305*b864^2 + 0.030551*b864*b865 + 
    283*b865 + 0.061102*b865^2 + 0.224845*b865*b866 + 501*b866 + 0.4496905*b866
    ^2 + 0.052631*b866*b867 + 511*b867 + 0.1052625*b867^2 + 0.04389425*b867*
    b868 + 202*b868 + 0.0877885*b868^2 + 0.0183213*b868*b869 + 363*b869 + 
    0.03664265*b869*b869 + 0.089179*b869*b870 + 897*b870 + 0.178358*b870^2 + 
    0.2187035*b870*b871 + 1033*b871 + 0.437407*b871^2 + 0.0754995*b871*b872 + 
    398*b872 + 0.1509985*b872^2 + 0.029075*b872*b873 + 625*b873 + 0.05815*b873^
    2 + 0.187456*b873*b874 + 481*b874 + 0.3749115*b874^2 + 0.0557315*b874*b875
     + 410*b875 + 0.111463*b875^2 + 0.0633815*b875*b876 + 895*b876 + 0.1267625*
    b876^2 + 0.2159195*b876*b877 + 477*b877 + 0.4318385*b877^2 + 0.158094*b877*
    b878 + 633*b878 + 0.3161875*b878^2 + 0.1950695*b878*b879 + 354*b879 + 
    0.390139*b879^2 + 0.02892975*b879*b880 + 525*b880 + 0.0578595*b880^2 + 
    0.123827*b880*b881 + 76*b881 + 0.2476545*b881^2 + 0.1887735*b881*b882 + 507
    *b882 + 0.377547*b882^2 + 0.154801*b882*b883 + 629*b883 + 0.309602*b883^2
     + 0.1499465*b883*b884 + 458*b884 + 0.2998935*b884^2 + 0.03633925*b884*b885
     + 423*b885 + 0.0726785*b885*b885 + 0.078*b885*b886 + 419*b886 + 0.1559995*
    b886^2 + 0.1942895*b886*b887 + 527*b887 + 0.388579*b887^2 + 0.203723*b887*
    b888 + 793*b888 + 0.407446*b888^2 + 0.004521075*b888*b889 + 271*b889 + 
    0.00904215*b889*b889 + 0.176433*b889*b890 + 479*b890 + 0.352866*b890^2 + 
    0.2457555*b890*b891 + 415*b891 + 0.4915105*b891^2 + 0.1839835*b891*b892 + 
    459*b892 + 0.367967*b892^2 + 0.1400695*b892*b893 + 243*b893 + 0.2801385*
    b893^2 + 0.147936*b893*b894 + 346*b894 + 0.2958715*b894^2 + 0.0639155*b894*
    b895 + 799*b895 + 0.1278305*b895^2 + 0.04474075*b895*b896 + 743*b896 + 
    0.0894815*b896^2 + 0.03658325*b896*b897 + 409*b897 + 0.0731665*b897*b897 + 
    0.0072328*b897*b898 + 475*b898 + 0.01446555*b898^2 + 0.2219115*b898*b899 + 
    449*b899 + 0.443823*b899^2 + 0.00175473*b899*b900 + 868*b900 + 0.003509465*
    b900^2 + 0.0212927*b900*b901 + 452*b901 + 0.04258535*b901^2 + 0.1089105*
    b901*b902 + 70*b902 + 0.2178205*b902^2 + 0.0115899*b902*b903 + 488*b903 + 
    0.0231798*b903^2 + 0.065988*b903*b904 + 674*b904 + 0.1319765*b904^2 + 
    0.010989*b904*b905 + 614*b905 + 0.02197805*b905^2 + 0.206415*b905*b906 + 
    631*b906 + 0.4128295*b906^2 + 0.2122705*b906*b907 + 256*b907 + 0.424541*
    b907^2 + 0.1961815*b907*b908 + 377*b908 + 0.3923625*b908^2 + 0.1352675*b908
    *b909 + 470*b909 + 0.270535*b909^2 + 0.029649*b909*b910 + 600*b910 + 
    0.059298*b910^2 + 0.128097*b910*b911 + 609*b911 + 0.2561945*b911^2 + 
    0.171934*b911*b912 + 749*b912 + 0.343868*b912^2 + 0.225822*b912*b913 + 872*
    b913 + 0.451644*b913^2 + 0.18469*b913*b914 + 473*b914 + 0.3693795*b914^2 + 
    0.0142792*b914*b915 + 614*b915 + 0.02855845*b915^2 + 0.04924275*b915*b916
     + 423*b916 + 0.0984855*b916^2 + 0.211132*b916*b917 + 369*b917 + 0.4222635*
    b917^2 + 0.2051465*b917*b918 + 884*b918 + 0.4102925*b918^2 + 0.067299*b918*
    b919 + 1342*b919 + 0.1345975*b919^2 + 0.2469505*b919*b920 + 816*b920 + 
    0.4939015*b920^2 + 0.096376*b920*b921 + 322*b921 + 0.1927525*b921^2 + 
    0.002134925*b921*b922 + 571*b922 + 0.00426985*b922*b922 + 0.092428*b922*
    b923 + 826*b923 + 0.1848555*b923^2 + 0.05828*b923*b924 + 479*b924 + 0.11656
    *b924^2 + 0.184573*b924*b925 + 455*b925 + 0.3691465*b925^2 + 0.1816475*b925
    *b926 + 765*b926 + 0.363295*b926^2 + 0.0895875*b926*b927 + 512*b927 + 
    0.1791755*b927^2 + 0.1760815*b927*b928 + 394*b928 + 0.352163*b928^2 + 
    0.0678775*b928*b929 + 1298*b929 + 0.1357545*b929^2 + 0.078916*b929*b930 + 
    350*b930 + 0.1578315*b930^2 + 0.0616135*b930*b931 + 234*b931 + 0.123227*
    b931^2 + 0.0841515*b931*b932 + 564*b932 + 0.1683035*b932^2 + 0.00706475*
    b932*b933 + 491*b933 + 0.01412955*b933^2 + 0.1606395*b933*b934 + 263*b934
     + 0.3212785*b934*b934 + 0.054931*b934*b935 + 194*b935 + 0.109862*b935^2 + 
    0.1015615*b935*b936 + 408*b936 + 0.2031225*b936^2 + 0.176138*b936*b937 + 
    612*b937 + 0.352276*b937^2 + 0.03305775*b937*b938 + 436*b938 + 0.0661155*
    b938^2 + 0.088054*b938*b939 + 563*b939 + 0.1761075*b939^2 + 0.03841825*b939
    *b940 + 771*b940 + 0.0768365*b940^2 + 0.0839115*b940*b941 + 635*b941 + 
    0.1678235*b941^2 + 0.160423*b941*b942 + 390*b942 + 0.320846*b942^2 + 
    0.2076695*b942*b943 + 423*b943 + 0.4153395*b943^2 + 0.1577525*b943*b944 + 
    489*b944 + 0.3155055*b944^2 + 0.21584*b944*b945 + 466*b945 + 0.43168*b945^2
     + 0.01364355*b945*b946 + 307*b946 + 0.02728705*b946^2 + 0.119233*b946*b947
     + 201*b947 + 0.2384665*b947^2 + 0.1235175*b947*b948 + 864*b948 + 0.2470355
    *b948^2 + 0.0976265*b948*b949 + 536*b949 + 0.1952535*b949^2 + 0.067613*b949
    *b950 + 569*b950 + 0.135226*b950^2 + 0.1031575*b950*b951 + 444*b951 + 
    0.2063145*b951^2 + 0.03748825*b951*b952 + 518*b952 + 0.0749765*b952^2 + 
    0.119826*b952*b953 + 722*b953 + 0.239652*b953^2 + 0.2459585*b953*b954 + 527
    *b954 + 0.491917*b954^2 + 0.151243*b954*b955 + 914*b955 + 0.3024855*b955^2
     + 0.187148*b955*b956 + 423*b956 + 0.3742955*b956^2 + 0.1263025*b956*b957
     + 57*b957 + 0.2526045*b957^2 + 0.0559345*b957*b958 + 474*b958 + 0.1118695*
    b958^2 + 0.096469*b958*b959 + 498*b959 + 0.1929375*b959^2 + 0.210701*b959*
    b960 + 772*b960 + 0.421402*b960^2 + 0.129195*b960*b961 + 644*b961 + 0.25839
    *b961^2 + 0.0343345*b961*b962 + 1491*b962 + 0.068669*b962^2 + 0.1376625*
    b962*b963 + 939*b963 + 0.275325*b963^2 + 0.03966525*b963*b964 + 577*b964 + 
    0.0793305*b964^2 + 0.1491805*b964*b965 + 755*b965 + 0.298361*b965^2 + 
    0.2422605*b965*b966 + 795*b966 + 0.4845215*b966^2 + 0.227508*b966*b967 + 
    600*b967 + 0.455016*b967^2 + 0.220675*b967*b968 + 1134*b968 + 0.4413505*
    b968^2 + 0.110307*b968*b969 + 424*b969 + 0.2206145*b969^2 + 0.2473595*b969*
    b970 + 610*b970 + 0.4947195*b970^2 + 0.1841975*b970*b971 + 1679*b971 + 
    0.368395*b971^2 + 0.00054248*b971*b972 + 424*b972 + 0.00108496*b972^2 + 
    0.2456645*b972*b973 + 315*b973 + 0.491329*b973^2 + 0.1375955*b973*b974 + 
    735*b974 + 0.2751905*b974^2 + 0.2162535*b974*b975 + 870*b975 + 0.4325065*
    b975^2 + 0.231712*b975*b976 + 574*b976 + 0.463424*b976^2 + 0.094307*b976*
    b977 + 489*b977 + 0.188614*b977^2 + 0.1139995*b977*b978 + 404*b978 + 
    0.2279995*b978^2 + 0.1111255*b978*b979 + 587*b979 + 0.2222515*b979^2 + 
    0.026908*b979*b980 + 498*b980 + 0.053816*b980^2 + 0.0182436*b980*b981 + 590
    *b981 + 0.0364872*b981^2 + 0.1273335*b981*b982 + 217*b982 + 0.2546675*b982^
    2 + 0.224411*b982*b983 + 793*b983 + 0.448822*b983^2 + 0.1562765*b983*b984
     + 403*b984 + 0.3125525*b984^2 + 0.053123*b984*b985 + 429*b985 + 0.1062455*
    b985^2 + 0.181043*b985*b986 + 733*b986 + 0.3620865*b986^2 + 0.1313295*b986*
    b987 + 534*b987 + 0.2626585*b987^2 + 0.120936*b987*b988 + 416*b988 + 
    0.2418725*b988^2 + 0.218573*b988*b989 + 361*b989 + 0.4371455*b989^2 + 
    0.1707045*b989*b990 + 427*b990 + 0.341409*b990^2 + 0.071204*b990*b991 + 768
    *b991 + 0.1424085*b991^2 + 0.0329105*b991*b992 + 565*b992 + 0.065821*b992^2
     + 0.0884445*b992*b993 + 221*b993 + 0.1768885*b993^2 + 0.1201085*b993*b994
     + 502*b994 + 0.240217*b994^2 + 0.241369*b994*b995 + 262*b995 + 0.482738*
    b995^2 + 0.136208*b995*b996 + 453*b996 + 0.272416*b996^2 + 0.2497535*b996*
    b997 + 601*b997 + 0.499507*b997^2 + 0.0640495*b997*b998 + 1348*b998 + 
    0.1280985*b998^2 + 0.229923*b998*b999 + 1051*b999 + 0.4598455*b999^2 + 
    0.1117175*b999*b1000 + 442*b1000 + 0.223435*b1000^2 + 0.129455*b1000*b1001
     + 473*b1001 + 0.2589095*b1001^2 + 0.0141646*b1001*b1002 + 598*b1002 + 
    0.0283292*b1002^2 + 0.1001075*b1002*b1003 + 1099*b1003 + 0.200215*b1003^2
     + 0.073221*b1003*b1004 + 402*b1004 + 0.146442*b1004^2 + 0.1968905*b1004*
    b1005 + 427*b1005 + 0.393781*b1005^2 + 0.02717875*b1005*b1006 + 547*b1006
     + 0.0543575*b1006^2 + 0.04882375*b1006*b1007 + 473*b1007 + 0.0976475*b1007
    ^2 + 0.001448295*b1007*b1008 + 243*b1008 + 0.00289659*b1008^2 + 0.02257695*
    b1008*b1009 + 1095*b1009 + 0.0451539*b1009^2 + 0.2218605*b1009*b1010 + 790*
    b1010 + 0.4437205*b1010^2 + 0.0968925*b1010*b1011 + 625*b1011 + 0.1937855*
    b1011^2 + 0.2408435*b1011*b1012 + 824*b1012 + 0.481687*b1012^2 + 0.200146*
    b1012*b1013 + 424*b1013 + 0.400292*b1013^2 + 0.127708*b1013*b1014 + 240*
    b1014 + 0.2554165*b1014^2 + 0.0999005*b1014*b1015 + 427*b1015 + 0.199801*
    b1015^2 + 0.127886*b1015*b1016 + 754*b1016 + 0.255772*b1016*b1016 + 
    0.004623925*b1016*b1017 + 585*b1017 + 0.00924785*b1017^2 + 0.237778*b1017*
    b1018 + 860*b1018 + 0.4755565*b1018^2 + 0.114855*b1018*b1019 + 269*b1019 + 
    0.22971*b1019^2 + 0.226497*b1019*b1020 + 692*b1020 + 0.452994*b1020^2 + 
    0.1613875*b1020*b1021 + 254*b1021 + 0.322775*b1021^2 + 0.1710465*b1021*
    b1022 + 401*b1022 + 0.3420935*b1022^2 + 0.2369305*b1022*b1023 + 1183*b1023
     + 0.4738615*b1023^2 + 0.192563*b1023*b1024 + 406*b1024 + 0.385126*b1024^2
     + 0.2056545*b1024*b1025 + 927*b1025 + 0.4113095*b1025^2 + 0.04087275*b1025
    *b1026 + 973*b1026 + 0.0817455*b1026^2 + 0.0616095*b1026*b1027 + 684*b1027
     + 0.123219*b1027*b1027 + 0.153522*b1027*b1028 + 589*b1028 + 0.3070445*
    b1028^2 + 0.0923025*b1028*b1029 + 464*b1029 + 0.184605*b1029^2 + 0.092821*
    b1029*b1030 + 393*b1030 + 0.185642*b1030^2 + 0.03869075*b1030*b1031 + 602*
    b1031 + 0.0773815*b1031^2 + 0.1798975*b1031*b1032 + 795*b1032 + 0.3597955*
    b1032^2 + 0.2211665*b1032*b1033 + 532*b1033 + 0.442333*b1033*b1033 + 
    0.18724*b1033*b1034 + 573*b1034 + 0.3744805*b1034^2 + 0.146505*b1034*b1035
     + 1026*b1035 + 0.29301*b1035^2 + 0.244845*b1035*b1036 + 261*b1036 + 
    0.4896905*b1036^2 + 0.125465*b1036*b1037 + 1075*b1037 + 0.2509295*b1037^2
     + 0.0874625*b1037*b1038 + 487*b1038 + 0.1749245*b1038^2 + 0.2002665*b1038*
    b1039 + 331*b1039 + 0.400533*b1039*b1039 + 0.21194*b1039*b1040 + 520*b1040
     + 0.42388*b1040^2 + 0.2065695*b1040*b1041 + 681*b1041 + 0.4131385*b1041^2
     + 0.172003*b1041*b1042 + 396*b1042 + 0.344006*b1042^2 + 0.1719365*b1042*
    b1043 + 273*b1043 + 0.3438725*b1043^2 + 0.0442535*b1043*b1044 + 1096*b1044
     + 0.088507*b1044^2 + 0.064178*b1044*b1045 + 520*b1045 + 0.128356*b1045^2
     + 0.2317435*b1045*b1046 + 440*b1046 + 0.4634875*b1046^2 + 0.1998845*b1046*
    b1047 + 754*b1047 + 0.3997685*b1047^2 + 0.079292*b1047*b1048 + 457*b1048 + 
    0.1585845*b1048^2 + 0.2443715*b1048*b1049 + 393*b1049 + 0.488743*b1049^2 + 
    0.231305*b1049*b1050 + 533*b1050 + 0.4626105*b1050*b1050 + 0.105413*b1050*
    b1051 + 1107*b1051 + 0.210826*b1051^2 + 0.215234*b1051*b1052 + 236*b1052 + 
    0.430468*b1052^2 + 0.03408675*b1052*b1053 + 592*b1053 + 0.0681735*b1053^2
     + 0.1422035*b1053*b1054 + 669*b1054 + 0.2844075*b1054^2 + 0.227886*b1054*
    b1055 + 451*b1055 + 0.455772*b1055^2 + 0.22523*b1055*b1056 + 403*b1056 + 
    0.45046*b1056*b1056 + 0.2410585*b1056*b1057 + 254*b1057 + 0.4821165*b1057^2
     + 0.080186*b1057*b1058 + 598*b1058 + 0.1603715*b1058^2 + 0.221008*b1058*
    b1059 + 305*b1059 + 0.4420165*b1059^2 + 0.1004285*b1059*b1060 + 470*b1060
     + 0.2008575*b1060^2 + 0.03394775*b1060*b1061 + 503*b1061 + 0.0678955*b1061
    ^2 + 0.1642425*b1061*b1062 + 641*b1062 + 0.328485*b1062*b1062 + 0.1728985*
    b1062*b1063 + 624*b1063 + 0.3457965*b1063^2 + 0.1679685*b1063*b1064 + 720*
    b1064 + 0.335937*b1064^2 + 0.1548585*b1064*b1065 + 204*b1065 + 0.3097165*
    b1065^2 + 0.0788135*b1065*b1066 + 463*b1066 + 0.157627*b1066^2 + 0.0653195*
    b1066*b1067 + 776*b1067 + 0.1306395*b1067^2 + 0.165762*b1067*b1068 + 935*
    b1068 + 0.3315235*b1068*b1068 + 0.145092*b1068*b1069 + 419*b1069 + 0.290184
    *b1069^2 + 0.0981465*b1069*b1070 + 507*b1070 + 0.1962925*b1070^2 + 
    0.0988595*b1070*b1071 + 242*b1071 + 0.197719*b1071^2 + 0.2333775*b1071*
    b1072 + 1156*b1072 + 0.466755*b1072^2 + 0.0153376*b1072*b1073 + 391*b1073
     + 0.0306752*b1073^2 + 0.1758655*b1073*b1074 + 1061*b1074 + 0.351731*b1074^
    2 + 0.1495575*b1074*b1075 + 1004*b1075 + 0.2991145*b1075^2 + 0.1770085*
    b1075*b1076 + 605*b1076 + 0.3540165*b1076^2 + 0.04998825*b1076*b1077 + 549*
    b1077 + 0.0999765*b1077^2 + 0.054022*b1077*b1078 + 593*b1078 + 0.1080435*
    b1078^2 + 0.1048735*b1078*b1079 + 392*b1079 + 0.209747*b1079^2 + 0.03484725
    *b1079*b1080 + 494*b1080 + 0.0696945*b1080^2 + 0.2231075*b1080*b1081 + 717*
    b1081 + 0.4462155*b1081^2 + 0.03211925*b1081*b1082 + 670*b1082 + 0.0642385*
    b1082^2 + 0.248549*b1082*b1083 + 674*b1083 + 0.4970975*b1083^2 + 0.2118935*
    b1083*b1084 + 614*b1084 + 0.4237865*b1084^2 + 0.1491355*b1084*b1085 + 384*
    b1085 + 0.298271*b1085^2 + 0.2015485*b1085*b1086 + 468*b1086 + 0.4030975*
    b1086*b1086 + 0.00839925*b1086*b1087 + 1922*b1087 + 0.0167985*b1087^2 + 
    0.1253375*b1087*b1088 + 967*b1088 + 0.2506745*b1088^2 + 0.1487225*b1088*
    b1089 + 501*b1089 + 0.2974455*b1089^2 + 0.2340905*b1089*b1090 + 897*b1090
     + 0.4681815*b1090^2 + 0.01985165*b1090*b1091 + 248*b1091 + 0.03970325*
    b1091^2 + 0.1817985*b1091*b1092 + 1133*b1092 + 0.363597*b1092^2 + 0.0178477
    *b1092*b1093 + 462*b1093 + 0.03569535*b1093^2 + 0.029992*b1093*b1094 + 679*
    b1094 + 0.059984*b1094^2 + 0.0477745*b1094*b1095 + 476*b1095 + 0.095549*
    b1095^2 + 0.103279*b1095*b1096 + 426*b1096 + 0.2065575*b1096^2 + 0.211266*
    b1096*b1097 + 420*b1097 + 0.4225325*b1097^2 + 0.0282095*b1097*b1098 + 472*
    b1098 + 0.056419*b1098*b1098 + 0.0433295*b1098*b1099 + 1071*b1099 + 
    0.086659*b1099^2 + 0.041117*b1099*b1100 + 498*b1100 + 0.082234*b1100^2 + 
    0.0435385*b1100*b1101 + 171*b1101 + 0.087077*b1101^2 + 0.1207845*b1101*
    b1102 + 839*b1102 + 0.2415695*b1102^2 + 0.096068*b1102*b1103 + 583*b1103 + 
    0.192136*b1103^2 + 0.1181085*b1103*b1104 + 208*b1104 + 0.236217*b1104*b1104
     + 0.183044*b1104*b1105 + 784*b1105 + 0.3660885*b1105^2 + 0.233938*b1105*
    b1106 + 557*b1106 + 0.4678765*b1106^2 + 0.1752285*b1106*b1107 + 707*b1107
     + 0.3504575*b1107^2 + 0.04508475*b1107*b1108 + 985*b1108 + 0.0901695*b1108
    ^2 + 0.1650495*b1108*b1109 + 900*b1109 + 0.330099*b1109^2 + 0.0565995*b1109
    *b1110 + 855*b1110 + 0.1131995*b1110*b1110 + 0.0602435*b1110*b1111 + 511*
    b1111 + 0.1204875*b1111^2 + 0.2013215*b1111*b1112 + 445*b1112 + 0.402643*
    b1112^2 + 0.180683*b1112*b1113 + 33*b1113 + 0.3613665*b1113^2 + 0.237752*
    b1113*b1114 + 1086*b1114 + 0.4755035*b1114^2 + 0.1962565*b1114*b1115 + 218*
    b1115 + 0.392513*b1115^2 + 0.1085225*b1115*b1116 + 703*b1116 + 0.2170445*
    b1116*b1116 + 0.0627215*b1116*b1117 + 416*b1117 + 0.125443*b1117^2 + 
    0.0196171*b1117*b1118 + 394*b1118 + 0.03923415*b1118^2 + 0.228518*b1118*
    b1119 + 718*b1119 + 0.457036*b1119^2 + 0.2312705*b1119*b1120 + 681*b1120 + 
    0.4625405*b1120^2 + 0.090247*b1120*b1121 + 924*b1121 + 0.180494*b1121^2 + 
    0.01822165*b1121*b1122 + 378*b1122 + 0.0364433*b1122^2 + 0.2473945*b1122*
    b1123 + 172*b1123 + 0.494789*b1123^2 + 0.1927155*b1123*b1124 + 217*b1124 + 
    0.3854315*b1124^2 + 0.04580125*b1124*b1125 + 872*b1125 + 0.0916025*b1125^2
     + 0.0612535*b1125*b1126 + 371*b1126 + 0.1225065*b1126^2 + 0.0957875*b1126*
    b1127 + 477*b1127 + 0.191575*b1127^2 + 0.241848*b1127*b1128 + 559*b1128 + 
    0.483696*b1128*b1128 + 0.1436385*b1128*b1129 + 531*b1129 + 0.287277*b1129^2
     + 0.0698545*b1129*b1130 + 596*b1130 + 0.139709*b1130^2 + 0.201476*b1130*
    b1131 + 427*b1131 + 0.4029515*b1131^2 + 0.1184855*b1131*b1132 + 721*b1132
     + 0.2369705*b1132^2 + 0.1948275*b1132*b1133 + 378*b1133 + 0.389655*b1133^2
     + 0.097315*b1133*b1134 + 847*b1134 + 0.1946295*b1134*b1134 + 0.066055*
    b1134*b1135 + 606*b1135 + 0.1321105*b1135^2 + 0.22187*b1135*b1136 + 692*
    b1136 + 0.4437395*b1136^2 + 0.203139*b1136*b1137 + 633*b1137 + 0.406278*
    b1137^2 + 0.1425175*b1137*b1138 + 684*b1138 + 0.2850345*b1138^2 + 0.1268895
    *b1138*b1139 + 495*b1139 + 0.2537785*b1139^2 + 0.162865*b1139*b1140 + 489*
    b1140 + 0.32573*b1140^2 + 0.075272*b1140*b1141 + 259*b1141 + 0.150544*b1141
    ^2 + 0.00805675*b1141*b1142 + 242*b1142 + 0.01611345*b1142^2 + 0.166615*
    b1142*b1143 + 388*b1143 + 0.33323*b1143^2 + 0.059478*b1143*b1144 + 825*
    b1144 + 0.1189555*b1144^2 + 0.02526125*b1144*b1145 + 664*b1145 + 0.0505225*
    b1145^2 + 0.2252*b1145*b1146 + 500*b1146 + 0.4504005*b1146^2 + 0.081277*
    b1146*b1147 + 555*b1147 + 0.1625545*b1147^2 + 0.1833635*b1147*b1148 + 993*
    b1148 + 0.366727*b1148^2 + 0.238684*b1148*b1149 + 904*b1149 + 0.4773685*
    b1149^2 + 0.185072*b1149*b1150 + 882*b1150 + 0.370144*b1150*b1150 + 
    0.175382*b1150*b1151 + 406*b1151 + 0.3507635*b1151^2 + 0.1351855*b1151*
    b1152 + 790*b1152 + 0.270371*b1152^2 + 0.0521735*b1152*b1153 + 443*b1153 + 
    0.104347*b1153^2 + 0.1236365*b1153*b1154 + 412*b1154 + 0.247273*b1154^2 + 
    0.082646*b1154*b1155 + 943*b1155 + 0.1652915*b1155^2 + 0.090733*b1155*b1156
     + 839*b1156 + 0.181466*b1156*b1156 + 0.0896735*b1156*b1157 + 228*b1157 + 
    0.1793475*b1157^2 + 0.19241*b1157*b1158 + 504*b1158 + 0.38482*b1158^2 + 
    0.0591535*b1158*b1159 + 639*b1159 + 0.118307*b1159^2 + 0.2176885*b1159*
    b1160 + 487*b1160 + 0.435377*b1160^2 + 0.0629165*b1160*b1161 + 248*b1161 + 
    0.1258335*b1161^2 + 0.0570525*b1161*b1162 + 643*b1162 + 0.1141055*b1162^2
     + 0.215709*b1162*b1163 + 39*b1163 + 0.4314175*b1163^2 + 0.2137565*b1163*
    b1164 + 538*b1164 + 0.4275135*b1164^2 + 0.091068*b1164*b1165 + 403*b1165 + 
    0.1821355*b1165^2 + 0.0961785*b1165*b1166 + 718*b1166 + 0.192357*b1166^2 + 
    0.033379*b1166*b1167 + 704*b1167 + 0.066758*b1167^2 + 0.01523225*b1167*
    b1168 + 1008*b1168 + 0.03046455*b1168*b1168 + 0.2001395*b1168*b1169 + 673*
    b1169 + 0.400279*b1169^2 + 0.073173*b1169*b1170 + 402*b1170 + 0.146346*
    b1170^2 + 0.2450325*b1170*b1171 + 509*b1171 + 0.4900645*b1171^2 + 0.0831715
    *b1171*b1172 + 272*b1172 + 0.1663425*b1172^2 + 0.1231305*b1172*b1173 + 412*
    b1173 + 0.2462615*b1173^2 + 0.2239455*b1173*b1174 + 746*b1174 + 0.447891*
    b1174*b1174 + 0.1674325*b1174*b1175 + 1214*b1175 + 0.3348655*b1175^2 + 
    0.117354*b1175*b1176 + 541*b1176 + 0.2347075*b1176^2 + 0.0509745*b1176*
    b1177 + 367*b1177 + 0.1019495*b1177^2 + 0.0512455*b1177*b1178 + 431*b1178
     + 0.102491*b1178^2 + 0.204939*b1178*b1179 + 371*b1179 + 0.409878*b1179^2
     + 0.03524875*b1179*b1180 + 331*b1180 + 0.0704975*b1180^2 + 0.0582025*b1180
    *b1181 + 50*b1181 + 0.116405*b1181^2 + 0.067196*b1181*b1182 + 701*b1182 + 
    0.134392*b1182^2 + 0.064826*b1182*b1183 + 524*b1183 + 0.129652*b1183^2 + 
    0.0958995*b1183*b1184 + 428*b1184 + 0.1917985*b1184^2 + 0.232389*b1184*
    b1185 + 523*b1185 + 0.464778*b1185*b1185 + 0.03790625*b1185*b1186 + 283*
    b1186 + 0.0758125*b1186^2 + 0.218123*b1186*b1187 + 856*b1187 + 0.4362465*
    b1187^2 + 0.148716*b1187*b1188 + 570*b1188 + 0.2974325*b1188^2 + 0.1222205*
    b1188*b1189 + 434*b1189 + 0.244441*b1189^2 + 0.203556*b1189*b1190 + 620*
    b1190 + 0.4071125*b1190^2 + 0.1935775*b1190*b1191 + 566*b1191 + 0.387155*
    b1191*b1191 + 0.1448475*b1191*b1192 + 427*b1192 + 0.289695*b1192^2 + 
    0.1946285*b1192*b1193 + 457*b1193 + 0.3892575*b1193^2 + 0.0177886*b1193*
    b1194 + 563*b1194 + 0.03557715*b1194^2 + 0.216708*b1194*b1195 + 633*b1195
     + 0.4334155*b1195^2 + 0.01493275*b1195*b1196 + 795*b1196 + 0.02986545*
    b1196^2 + 0.154816*b1196*b1197 + 429*b1197 + 0.3096325*b1197^2 + 0.03809375
    *b1197*b1198 + 278*b1198 + 0.0761875*b1198^2 + 0.2278595*b1198*b1199 + 667*
    b1199 + 0.4557185*b1199^2 + 0.0732935*b1199*b1200 + 683*b1200 + 0.1465865*
    b1200^2 + 0.1624395*b1200*b1201 + 718*b1201 + 0.3248795*b1201^2 + 0.0895555
    *b1201*b1202 + 472*b1202 + 0.179111*b1202^2 + 0.1571955*b1202*b1203 + 246*
    b1203 + 0.314391*b1203*b1203 + 0.244847*b1203*b1204 + 158*b1204 + 0.4896945
    *b1204^2 + 0.213578*b1204*b1205 + 639*b1205 + 0.4271555*b1205^2 + 0.1645425
    *b1205*b1206 + 912*b1206 + 0.3290855*b1206^2 + 0.11803*b1206*b1207 + 712*
    b1207 + 0.23606*b1207^2 + 0.0989025*b1207*b1208 + 712*b1208 + 0.197805*
    b1208^2 + 0.0050754*b1208*b1209 + 514*b1209 + 0.01015085*b1209^2 + 
    0.1043375*b1209*b1210 + 1281*b1210 + 0.208675*b1210^2 + 0.0745115*b1210*
    b1211 + 575*b1211 + 0.149023*b1211^2 + 0.236799*b1211*b1212 + 716*b1212 + 
    0.4735985*b1212^2 + 0.2093665*b1212*b1213 + 385*b1213 + 0.418733*b1213^2 + 
    0.0169175*b1213*b1214 + 400*b1214 + 0.03383495*b1214^2 + 0.171019*b1214*
    b1215 + 520*b1215 + 0.342038*b1215^2 + 0.2391825*b1215*b1216 + 222*b1216 + 
    0.4783645*b1216^2 + 0.227873*b1216*b1217 + 424*b1217 + 0.455746*b1217^2 + 
    0.086408*b1217*b1218 + 1580*b1218 + 0.172816*b1218^2 + 0.101244*b1218*b1219
     + 369*b1219 + 0.202488*b1219^2 + 0.2237695*b1219*b1220 + 729*b1220 + 
    0.4475385*b1220^2 + 0.2316965*b1220*b1221 + 594*b1221 + 0.463393*b1221^2 + 
    0.2142285*b1221*b1222 + 364*b1222 + 0.428457*b1222^2 + 0.203521*b1222*b1223
     + 967*b1223 + 0.407042*b1223^2 + 0.243881*b1223*b1224 + 452*b1224 + 
    0.4877615*b1224^2 + 0.1329065*b1224*b1225 + 577*b1225 + 0.2658125*b1225^2
     + 0.0199379*b1225*b1226 + 663*b1226 + 0.03987585*b1226^2 + 0.0094823*b1226
    *b1227 + 151*b1227 + 0.0189646*b1227^2 + 0.151632*b1227*b1228 + 61*b1228 + 
    0.3032645*b1228^2 + 0.179599*b1228*b1229 + 1467*b1229 + 0.3591975*b1229^2
     + 0.1625085*b1229*b1230 + 1181*b1230 + 0.325017*b1230^2 + 0.2337935*b1230*
    b1231 + 855*b1231 + 0.4675875*b1231*b1231 + 0.1716555*b1231*b1232 + 225*
    b1232 + 0.3433115*b1232^2 + 0.1454245*b1232*b1233 + 232*b1233 + 0.2908495*
    b1233^2 + 0.1045105*b1233*b1234 + 1000*b1234 + 0.209021*b1234^2 + 
    0.04220575*b1234*b1235 + 595*b1235 + 0.0844115*b1235^2 + 0.1183775*b1235*
    b1236 + 370*b1236 + 0.236755*b1236^2 + 0.1904625*b1236*b1237 + 433*b1237 + 
    0.3809255*b1237^2 + 0.1017385*b1237*b1238 + 841*b1238 + 0.203477*b1238^2 + 
    0.079899*b1238*b1239 + 122*b1239 + 0.1597975*b1239^2 + 0.152905*b1239*b1240
     + 516*b1240 + 0.3058105*b1240^2 + 0.248026*b1240*b1241 + 435*b1241 + 
    0.496052*b1241^2 + 0.2154805*b1241*b1242 + 237*b1242 + 0.430961*b1242^2 + 
    0.155323*b1242*b1243 + 429*b1243 + 0.310646*b1243*b1243 + 0.1311435*b1243*
    b1244 + 660*b1244 + 0.262287*b1244^2 + 0.03997*b1244*b1245 + 420*b1245 + 
    0.07994*b1245^2 + 0.218675*b1245*b1246 + 452*b1246 + 0.43735*b1246^2 + 
    0.2269125*b1246*b1247 + 886*b1247 + 0.4538255*b1247^2 + 0.047061*b1247*
    b1248 + 423*b1248 + 0.094122*b1248*b1248 + 0.085899*b1248*b1249 + 579*b1249
     + 0.1717985*b1249^2 + 0.080359*b1249*b1250 + 254*b1250 + 0.160718*b1250^2
     + 0.2246905*b1250*b1251 + 277*b1251 + 0.4493805*b1251^2 + 0.2302425*b1251*
    b1252 + 467*b1252 + 0.4604855*b1252^2 + 0.09636*b1252*b1253 + 279*b1253 + 
    0.1927205*b1253^2 + 0.01214075*b1253*b1254 + 545*b1254 + 0.02428155*b1254^2
     + 0.1713755*b1254*b1255 + 817*b1255 + 0.3427505*b1255^2 + 0.1502425*b1255*
    b1256 + 532*b1256 + 0.300485*b1256^2 + 0.087679*b1256*b1257 + 793*b1257 + 
    0.175358*b1257^2 + 0.116407*b1257*b1258 + 843*b1258 + 0.232814*b1258^2 + 
    0.1489885*b1258*b1259 + 493*b1259 + 0.297977*b1259^2 + 0.137227*b1259*b1260
     + 953*b1260 + 0.2744545*b1260*b1260 + 0.0093436*b1260*b1261 + 602*b1261 + 
    0.0186872*b1261^2 + 0.067879*b1261*b1262 + 744*b1262 + 0.135758*b1262^2 + 
    0.04340725*b1262*b1263 + 551*b1263 + 0.0868145*b1263^2 + 0.0739355*b1263*
    b1264 + 620*b1264 + 0.1478715*b1264^2 + 0.0910295*b1264*b1265 + 937*b1265
     + 0.1820585*b1265^2 + 0.144122*b1265*b1266 + 399*b1266 + 0.288244*b1266*
    b1266 + 0.0810575*b1266*b1267 + 675*b1267 + 0.162115*b1267^2 + 0.1850355*
    b1267*b1268 + 577*b1268 + 0.3700715*b1268^2 + 0.0235083*b1268*b1269 + 434*
    b1269 + 0.0470166*b1269^2 + 0.182991*b1269*b1270 + 795*b1270 + 0.3659815*
    b1270^2 + 0.047764*b1270*b1271 + 751*b1271 + 0.095528*b1271^2 + 0.249875*
    b1271*b1272 + 214*b1272 + 0.4997505*b1272*b1272 + 0.1960045*b1272*b1273 + 
    476*b1273 + 0.392009*b1273^2 + 0.0118161*b1273*b1274 + 679*b1274 + 
    0.02363215*b1274^2 + 0.1192605*b1274*b1275 + 1131*b1275 + 0.2385215*b1275^2
     + 0.192044*b1275*b1276 + 389*b1276 + 0.3840885*b1276^2 + 0.2488025*b1276*
    b1277 + 933*b1277 + 0.4976045*b1277^2 + 0.0562465*b1277*b1278 + 648*b1278
     + 0.112493*b1278*b1278 + 0.138118*b1278*b1279 + 537*b1279 + 0.2762365*
    b1279^2 + 0.03339875*b1279*b1280 + 433*b1280 + 0.0667975*b1280^2 + 
    0.0061352*b1280*b1281 + 140*b1281 + 0.0122704*b1281^2 + 0.1821925*b1281*
    b1282 + 943*b1282 + 0.3643855*b1282^2 + 0.138058*b1282*b1283 + 490*b1283 + 
    0.276116*b1283^2 + 0.027649*b1283*b1284 + 974*b1284 + 0.055298*b1284*b1284
     + 0.2229105*b1284*b1285 + 410*b1285 + 0.4458205*b1285^2 + 0.148438*b1285*
    b1286 + 686*b1286 + 0.2968765*b1286^2 + 0.067793*b1286*b1287 + 483*b1287 + 
    0.135586*b1287^2 + 0.09307*b1287*b1288 + 723*b1288 + 0.1861405*b1288^2 + 
    0.027282*b1288*b1289 + 1259*b1289 + 0.054564*b1289^2 + 0.0944795*b1289*
    b1290 + 303*b1290 + 0.188959*b1290^2 + 0.145341*b1290*b1291 + 186*b1291 + 
    0.290682*b1291^2 + 0.2423355*b1291*b1292 + 456*b1292 + 0.4846715*b1292^2 + 
    0.2065115*b1292*b1293 + 476*b1293 + 0.4130225*b1293^2 + 0.196441*b1293*
    b1294 + 498*b1294 + 0.392882*b1294^2 + 0.192327*b1294*b1295 + 746*b1295 + 
    0.384654*b1295*b1295 + 0.192794*b1295*b1296 + 460*b1296 + 0.3855875*b1296^2
     + 0.203532*b1296*b1297 + 976*b1297 + 0.407064*b1297^2 + 0.02136025*b1297*
    b1298 + 1347*b1298 + 0.0427205*b1298^2 + 0.1052825*b1298*b1299 + 1369*b1299
     + 0.2105655*b1299^2 + 0.0373475*b1299*b1300 + 622*b1300 + 0.074695*b1300^2
     + 0.141879*b1300*b1301 + 70*b1301 + 0.283758*b1301*b1301 + 0.240895*b1301*
    b1302 + 256*b1302 + 0.48179*b1302^2 + 0.146943*b1302*b1303 + 886*b1303 + 
    0.2938865*b1303^2 + 0.04032875*b1303*b1304 + 521*b1304 + 0.0806575*b1304^2
     + 0.001414225*b1304*b1305 + 249*b1305 + 0.002828445*b1305^2 + 0.2236535*
    b1305*b1306 + 519*b1306 + 0.447307*b1306^2 + 0.173269*b1306*b1307 + 260*
    b1307 + 0.346538*b1307^2 + 0.0592635*b1307*b1308 + 522*b1308 + 0.1185275*
    b1308^2 + 0.194224*b1308*b1309 + 814*b1309 + 0.3884485*b1309^2 + 0.072965*
    b1309*b1310 + 483*b1310 + 0.14593*b1310^2 + 0.162682*b1310*b1311 + 630*
    b1311 + 0.325364*b1311^2 + 0.0183219*b1311*b1312 + 670*b1312 + 0.0366438*
    b1312^2 + 0.0334745*b1312*b1313 + 883*b1313 + 0.066949*b1313^2 + 0.04254625
    *b1313*b1314 + 748*b1314 + 0.0850925*b1314^2 + 0.049669*b1314*b1315 + 1204*
    b1315 + 0.099338*b1315^2 + 0.135806*b1315*b1316 + 1476*b1316 + 0.2716125*
    b1316^2 + 0.2406695*b1316*b1317 + 777*b1317 + 0.481339*b1317*b1317 + 
    0.1285645*b1317*b1318 + 220*b1318 + 0.257129*b1318^2 + 0.164142*b1318*b1319
     + 829*b1319 + 0.328284*b1319^2 + 0.0528435*b1319*b1320 + 658*b1320 + 
    0.1056865*b1320^2 + 0.1839745*b1320*b1321 + 803*b1321 + 0.3679485*b1321^2
     + 0.196362*b1321*b1322 + 761*b1322 + 0.3927235*b1322^2 + 0.2011875*b1322*
    b1323 + 615*b1323 + 0.4023755*b1323^2 + 0.1320705*b1323*b1324 + 889*b1324
     + 0.2641415*b1324^2 + 0.2222705*b1324*b1325 + 290*b1325 + 0.4445405*b1325^
    2 + 0.089879*b1325*b1326 + 332*b1326 + 0.1797585*b1326^2 + 0.033762*b1326*
    b1327 + 562*b1327 + 0.067524*b1327^2 + 0.0864555*b1327*b1328 + 695*b1328 + 
    0.172911*b1328^2 + 0.1046475*b1328*b1329 + 809*b1329 + 0.2092955*b1329*
    b1329 + 0.04573175*b1329*b1330 + 596*b1330 + 0.0914635*b1330^2 + 0.093658*
    b1330*b1331 + 622*b1331 + 0.187316*b1331^2 + 0.0126264*b1331*b1332 + 550*
    b1332 + 0.0252528*b1332^2 + 0.1610265*b1332*b1333 + 199*b1333 + 0.322053*
    b1333^2 + 0.01843465*b1333*b1334 + 1855*b1334 + 0.0368693*b1334^2 + 
    0.2211435*b1334*b1335 + 372*b1335 + 0.442287*b1335*b1335 + 0.1150125*b1335*
    b1336 + 440*b1336 + 0.2300255*b1336^2 + 0.149126*b1336*b1337 + 347*b1337 + 
    0.2982515*b1337^2 + 0.04187925*b1337*b1338 + 929*b1338 + 0.0837585*b1338^2
     + 0.113698*b1338*b1339 + 534*b1339 + 0.227396*b1339^2 + 0.173623*b1339*
    b1340 + 390*b1340 + 0.347246*b1340^2 + 0.01650775*b1340*b1341 + 599*b1341
     + 0.03301545*b1341^2 + 0.02300995*b1341*b1342 + 336*b1342 + 0.04601985*
    b1342^2 + 0.126401*b1342*b1343 + 639*b1343 + 0.2528025*b1343^2 + 0.217381*
    b1343*b1344 + 424*b1344 + 0.4347625*b1344^2 + 0.1901065*b1344*b1345 + 229*
    b1345 + 0.380213*b1345^2 + 0.0858695*b1345*b1346 + 614*b1346 + 0.1717395*
    b1346^2 + 0.1928645*b1346*b1347 + 364*b1347 + 0.385729*b1347*b1347 + 
    0.0889075*b1347*b1348 + 573*b1348 + 0.177815*b1348^2 + 0.1709495*b1348*
    b1349 + 685*b1349 + 0.341899*b1349^2 + 0.0236138*b1349*b1350 + 1092*b1350
     + 0.04722755*b1350^2 + 0.1324585*b1350*b1351 + 240*b1351 + 0.264917*b1351^
    2 + 0.0103581*b1351*b1352 + 246*b1352 + 0.0207162*b1352^2 + 0.0636985*b1352
    *b1353 + 629*b1353 + 0.127397*b1353*b1353 + 0.059633*b1353*b1354 + 454*
    b1354 + 0.1192665*b1354^2 + 0.121463*b1354*b1355 + 795*b1355 + 0.2429265*
    b1355^2 + 0.0580745*b1355*b1356 + 870*b1356 + 0.1161485*b1356^2 + 
    0.00839925*b1356*b1357 + 427*b1357 + 0.0167985*b1357^2 + 0.01934235*b1357*
    b1358 + 597*b1358 + 0.0386847*b1358^2 + 0.1688525*b1358*b1359 + 577*b1359
     + 0.337705*b1359*b1359 + 0.0589715*b1359*b1360 + 971*b1360 + 0.117943*
    b1360^2 + 0.1120015*b1360*b1361 + 404*b1361 + 0.224003*b1361^2 + 0.148485*
    b1361*b1362 + 560*b1362 + 0.29697*b1362^2 + 0.2137925*b1362*b1363 + 280*
    b1363 + 0.427585*b1363^2 + 0.1434195*b1363*b1364 + 949*b1364 + 0.286839*
    b1364^2 + 0.202505*b1364*b1365 + 417*b1365 + 0.4050095*b1365*b1365 + 
    0.00069728*b1365*b1366 + 788*b1366 + 0.00139456*b1366^2 + 0.0861185*b1366*
    b1367 + 306*b1367 + 0.1722375*b1367^2 + 0.01979785*b1367*b1368 + 1601*b1368
     + 0.03959565*b1368^2 + 0.03130675*b1368*b1369 + 1482*b1369 + 0.0626135*
    b1369^2 + 0.101813*b1369*b1370 + 486*b1370 + 0.2036265*b1370^2 + 0.1337125*
    b1370*b1371 + 551*b1371 + 0.2674245*b1371^2 + 0.156664*b1371*b1372 + 203*
    b1372 + 0.313328*b1372^2 + 0.0265165*b1372*b1373 + 767*b1373 + 0.053033*
    b1373^2 + 0.228449*b1373*b1374 + 424*b1374 + 0.4568985*b1374^2 + 0.1058115*
    b1374*b1375 + 332*b1375 + 0.211623*b1375^2 + 0.1983945*b1375*b1376 + 583*
    b1376 + 0.396789*b1376^2 + 0.0060637*b1376*b1377 + 530*b1377 + 0.01212735*
    b1377^2 + 0.225113*b1377*b1378 + 717*b1378 + 0.4502265*b1378^2 + 0.0080124*
    b1378*b1379 + 412*b1379 + 0.0160248*b1379^2 + 0.04609*b1379*b1380 + 452*
    b1380 + 0.09218*b1380^2 + 0.1846365*b1380*b1381 + 388*b1381 + 0.3692735*
    b1381^2 + 0.2267485*b1381*b1382 + 538*b1382 + 0.4534975*b1382^2 + 0.2339515
    *b1382*b1383 + 400*b1383 + 0.467903*b1383*b1383 + 0.1114425*b1383*b1384 + 
    445*b1384 + 0.222885*b1384^2 + 0.053511*b1384*b1385 + 191*b1385 + 0.107022*
    b1385^2 + 0.0100443*b1385*b1386 + 689*b1386 + 0.0200886*b1386^2 + 0.101103*
    b1386*b1387 + 422*b1387 + 0.2022055*b1387^2 + 0.00224408*b1387*b1388 + 434*
    b1388 + 0.00448816*b1388^2 + 0.0803745*b1388*b1389 + 618*b1389 + 0.160749*
    b1389^2 + 0.1956715*b1389*b1390 + 513*b1390 + 0.391343*b1390^2 + 0.21749*
    b1390*b1391 + 607*b1391 + 0.4349805*b1391^2 + 0.002161885*b1391*b1392 + 380
    *b1392 + 0.004323765*b1392^2 + 0.0707065*b1392*b1393 + 587*b1393 + 0.141413
    *b1393^2 + 0.1767275*b1393*b1394 + 700*b1394 + 0.3534545*b1394^2 + 0.205964
    *b1394*b1395 + 410*b1395 + 0.4119275*b1395*b1395 + 0.0136234*b1395*b1396 + 
    765*b1396 + 0.02724675*b1396^2 + 0.0717715*b1396*b1397 + 603*b1397 + 
    0.143543*b1397^2 + 0.171438*b1397*b1398 + 730*b1398 + 0.3428765*b1398^2 + 
    0.0686975*b1398*b1399 + 694*b1399 + 0.1373945*b1399^2 + 0.223516*b1399*
    b1400 + 446*b1400 + 0.4470325*b1400^2 + 0.0511525*b1400*b1401 + 421*b1401
     + 0.1023055*b1401^2 + 0.1432725*b1401*b1402 + 486*b1402 + 0.286545*b1402^2
     + 0.2304385*b1402*b1403 + 970*b1403 + 0.4608775*b1403^2 + 0.1323845*b1403*
    b1404 + 195*b1404 + 0.264769*b1404^2 + 0.03694925*b1404*b1405 + 254*b1405
     + 0.0738985*b1405^2 + 0.0617765*b1405*b1406 + 232*b1406 + 0.1235535*b1406^
    2 + 0.003441175*b1406*b1407 + 402*b1407 + 0.00688235*b1407^2 + 0.1328375*
    b1407*b1408 + 515*b1408 + 0.265675*b1408^2 + 0.1643485*b1408*b1409 + 457*
    b1409 + 0.3286965*b1409^2 + 0.0594695*b1409*b1410 + 676*b1410 + 0.118939*
    b1410^2 + 0.0497435*b1410*b1411 + 875*b1411 + 0.099487*b1411^2 + 0.1559015*
    b1411*b1412 + 205*b1412 + 0.311803*b1412^2 + 0.123263*b1412*b1413 + 1597*
    b1413 + 0.2465255*b1413*b1413 + 0.18771*b1413*b1414 + 245*b1414 + 0.3754195
    *b1414^2 + 0.044964*b1414*b1415 + 584*b1415 + 0.089928*b1415^2 + 0.0170471*
    b1415*b1416 + 1450*b1416 + 0.0340942*b1416^2 + 0.080406*b1416*b1417 + 1177*
    b1417 + 0.1608125*b1417^2 + 0.15157*b1417*b1418 + 850*b1418 + 0.3031405*
    b1418^2 + 0.1985925*b1418*b1419 + 660*b1419 + 0.397185*b1419*b1419 + 
    0.0864935*b1419*b1420 + 494*b1420 + 0.172987*b1420^2 + 0.110695*b1420*b1421
     + 479*b1421 + 0.2213905*b1421^2 + 0.115794*b1421*b1422 + 258*b1422 + 
    0.2315875*b1422^2 + 0.2098355*b1422*b1423 + 280*b1423 + 0.419671*b1423^2 + 
    0.1735195*b1423*b1424 + 443*b1424 + 0.347039*b1424^2 + 0.00460265*b1424*
    b1425 + 536*b1425 + 0.0092053*b1425^2 + 0.2480585*b1425*b1426 + 800*b1426
     + 0.496117*b1426^2 + 0.02182985*b1426*b1427 + 253*b1427 + 0.0436597*b1427^
    2 + 0.0027546*b1427*b1428 + 933*b1428 + 0.0055092*b1428^2 + 0.096345*b1428*
    b1429 + 274*b1429 + 0.19269*b1429^2 + 0.1015875*b1429*b1430 + 512*b1430 + 
    0.203175*b1430^2 + 0.0222553*b1430*b1431 + 780*b1431 + 0.0445106*b1431*
    b1431 + 0.11305*b1431*b1432 + 746*b1432 + 0.2260995*b1432^2 + 0.2302405*
    b1432*b1433 + 352*b1433 + 0.4604815*b1433^2 + 0.088931*b1433*b1434 + 639*
    b1434 + 0.1778615*b1434^2 + 0.160419*b1434*b1435 + 735*b1435 + 0.320838*
    b1435^2 + 0.117865*b1435*b1436 + 396*b1436 + 0.2357295*b1436^2 + 0.0677175*
    b1436*b1437 + 443*b1437 + 0.135435*b1437*b1437 + 0.1264775*b1437*b1438 + 
    414*b1438 + 0.2529545*b1438^2 + 0.0117928*b1438*b1439 + 509*b1439 + 
    0.02358565*b1439^2 + 0.1994605*b1439*b1440 + 767*b1440 + 0.398921*b1440^2
     + 0.224898*b1440*b1441 + 643*b1441 + 0.4497955*b1441^2 + 0.1493695*b1441*
    b1442 + 698*b1442 + 0.2987385*b1442^2 + 0.2185615*b1442*b1443 + 714*b1443
     + 0.4371235*b1443^2 + 0.04755275*b1443*b1444 + 577*b1444 + 0.0951055*b1444
    ^2 + 0.0718855*b1444*b1445 + 988*b1445 + 0.1437715*b1445^2 + 0.222478*b1445
    *b1446 + 361*b1446 + 0.4449565*b1446^2 + 0.20755*b1446*b1447 + 801*b1447 + 
    0.4151005*b1447^2 + 0.191282*b1447*b1448 + 705*b1448 + 0.382564*b1448^2 + 
    0.22032*b1448*b1449 + 851*b1449 + 0.4406395*b1449*b1449 + 0.0481845*b1449*
    b1450 + 467*b1450 + 0.096369*b1450^2 + 0.1371205*b1450*b1451 + 942*b1451 + 
    0.274241*b1451^2 + 0.143774*b1451*b1452 + 306*b1452 + 0.2875475*b1452^2 + 
    0.2032075*b1452*b1453 + 870*b1453 + 0.406415*b1453^2 + 0.1649985*b1453*
    b1454 + 733*b1454 + 0.329997*b1454^2 + 0.095901*b1454*b1455 + 206*b1455 + 
    0.1918015*b1455*b1455 + 0.00596375*b1455*b1456 + 475*b1456 + 0.0119275*
    b1456^2 + 0.2345*b1456*b1457 + 523*b1457 + 0.4689995*b1457^2 + 0.062607*
    b1457*b1458 + 411*b1458 + 0.125214*b1458^2 + 0.10105*b1458*b1459 + 341*
    b1459 + 0.2021005*b1459^2 + 0.030587*b1459*b1460 + 329*b1460 + 0.061174*
    b1460^2 + 0.1723115*b1460*b1461 + 1845*b1461 + 0.344623*b1461^2 + 0.067855*
    b1461*b1462 + 221*b1462 + 0.1357095*b1462^2 + 0.222569*b1462*b1463 + 851*
    b1463 + 0.4451385*b1463^2 + 0.2267435*b1463*b1464 + 1003*b1464 + 0.4534875*
    b1464^2 + 0.0693385*b1464*b1465 + 488*b1465 + 0.1386765*b1465^2 + 0.183821*
    b1465*b1466 + 603*b1466 + 0.3676425*b1466*b1466 + 0.060841*b1466*b1467 + 
    423*b1467 + 0.1216825*b1467^2 + 0.188312*b1467*b1468 + 267*b1468 + 0.376624
    *b1468^2 + 0.1786645*b1468*b1469 + 484*b1469 + 0.357329*b1469^2 + 
    0.00789825*b1469*b1470 + 536*b1470 + 0.0157965*b1470^2 + 0.138691*b1470*
    b1471 + 608*b1471 + 0.2773825*b1471^2 + 0.091122*b1471*b1472 + 736*b1472 + 
    0.182244*b1472*b1472 + 0.124835*b1472*b1473 + 714*b1473 + 0.24967*b1473^2
     + 0.1269405*b1473*b1474 + 792*b1474 + 0.253881*b1474^2 + 0.232239*b1474*
    b1475 + 246*b1475 + 0.464478*b1475^2 + 0.13597*b1475*b1476 + 1064*b1476 + 
    0.27194*b1476^2 + 0.107063*b1476*b1477 + 475*b1477 + 0.2141265*b1477*b1477
     + 0.248354*b1477*b1478 + 241*b1478 + 0.496708*b1478^2 + 0.2389115*b1478*
    b1479 + 471*b1479 + 0.477823*b1479^2 + 0.1503*b1479*b1480 + 602*b1480 + 
    0.3006005*b1480^2 + 0.170931*b1480*b1481 + 421*b1481 + 0.341862*b1481^2 + 
    0.084461*b1481*b1482 + 1294*b1482 + 0.168922*b1482^2 + 0.082172*b1482*b1483
     + 718*b1483 + 0.1643435*b1483*b1483 + 0.2394795*b1483*b1484 + 784*b1484 + 
    0.4789585*b1484^2 + 0.1685685*b1484*b1485 + 375*b1485 + 0.3371365*b1485^2
     + 0.1802335*b1485*b1486 + 458*b1486 + 0.3604675*b1486^2 + 0.182538*b1486*
    b1487 + 2055*b1487 + 0.365076*b1487^2 + 0.0636035*b1487*b1488 + 324*b1488
     + 0.127207*b1488^2 + 0.0085332*b1488*b1489 + 226*b1489 + 0.0170664*b1489*
    b1489 + 0.2449545*b1489*b1490 + 721*b1490 + 0.4899085*b1490^2 + 0.11155*
    b1490*b1491 + 249*b1491 + 0.2231*b1491^2 + 0.1996205*b1491*b1492 + 1316*
    b1492 + 0.399241*b1492^2 + 0.231332*b1492*b1493 + 596*b1493 + 0.462664*
    b1493^2 + 0.0596565*b1493*b1494 + 1334*b1494 + 0.1193125*b1494^2 + 
    0.0882295*b1494*b1495 + 366*b1495 + 0.1764595*b1495^2 + 0.1780095*b1495*
    b1496 + 532*b1496 + 0.3560185*b1496^2 + 0.0605705*b1496*b1497 + 539*b1497
     + 0.121141*b1497^2 + 0.053229*b1497*b1498 + 1721*b1498 + 0.1064585*b1498^2
     + 0.04552075*b1498*b1499 + 717*b1499 + 0.0910415*b1499^2 + 0.1046165*b1499
    *b1500 + 749*b1500 + 0.209233*b1500^2 + 0.1722145*b1500*b1501 + 224*b1501
     + 0.3444285*b1501*b1501 + 0.1263485*b1501*b1502 + 903*b1502 + 0.252697*
    b1502^2 + 0.1056835*b1502*b1503 + 934*b1503 + 0.211367*b1503^2 + 0.2425385*
    b1503*b1504 + 481*b1504 + 0.485077*b1504^2 + 0.237163*b1504*b1505 + 374*
    b1505 + 0.474326*b1505^2 + 0.174937*b1505*b1506 + 641*b1506 + 0.349874*
    b1506^2 + 0.1209025*b1506*b1507 + 1051*b1507 + 0.2418045*b1507^2 + 
    0.1252825*b1507*b1508 + 287*b1508 + 0.250565*b1508^2 + 0.1212305*b1508*
    b1509 + 645*b1509 + 0.242461*b1509^2 + 0.0537045*b1509*b1510 + 844*b1510 + 
    0.107409*b1510^2 + 0.0262565*b1510*b1511 + 471*b1511 + 0.052513*b1511^2 + 
    0.1777335*b1511*b1512 + 418*b1512 + 0.3554675*b1512*b1512 + 0.0645725*b1512
    *b1513 + 576*b1513 + 0.1291455*b1513^2 + 0.00200171*b1513*b1514 + 504*b1514
     + 0.004003425*b1514^2 + 0.052027*b1514*b1515 + 404*b1515 + 0.104054*b1515^
    2 + 0.065478*b1515*b1516 + 339*b1516 + 0.1309555*b1516^2 + 0.0922265*b1516*
    b1517 + 227*b1517 + 0.1844535*b1517^2 + 0.069261*b1517*b1518 + 512*b1518 + 
    0.138522*b1518*b1518 + 0.12086*b1518*b1519 + 258*b1519 + 0.24172*b1519^2 + 
    0.094958*b1519*b1520 + 513*b1520 + 0.1899165*b1520^2 + 0.2107505*b1520*
    b1521 + 217*b1521 + 0.421501*b1521^2 + 0.0832625*b1521*b1522 + 647*b1522 + 
    0.1665255*b1522^2 + 0.1649115*b1522*b1523 + 976*b1523 + 0.329823*b1523*
    b1523 + 0.1262725*b1523*b1524 + 535*b1524 + 0.2525455*b1524^2 + 0.01929535*
    b1524*b1525 + 719*b1525 + 0.0385907*b1525^2 + 0.0709055*b1525*b1526 + 423*
    b1526 + 0.1418105*b1526^2 + 0.1239125*b1526*b1527 + 513*b1527 + 0.247825*
    b1527^2 + 0.0183978*b1527*b1528 + 416*b1528 + 0.0367956*b1528^2 + 0.097369*
    b1528*b1529 + 662*b1529 + 0.194738*b1529*b1529 + 0.0201374*b1529*b1530 + 
    660*b1530 + 0.0402748*b1530^2 + 0.1392055*b1530*b1531 + 526*b1531 + 
    0.2784115*b1531^2 + 0.2130585*b1531*b1532 + 468*b1532 + 0.426117*b1532^2 + 
    0.220126*b1532*b1533 + 507*b1533 + 0.4402515*b1533^2 + 0.1215485*b1533*
    b1534 + 600*b1534 + 0.243097*b1534^2 + 0.2174985*b1534*b1535 + 387*b1535 + 
    0.4349965*b1535*b1535 + 0.0441705*b1535*b1536 + 573*b1536 + 0.088341*b1536^
    2 + 0.130559*b1536*b1537 + 922*b1537 + 0.2611185*b1537^2 + 0.180182*b1537*
    b1538 + 705*b1538 + 0.360364*b1538^2 + 0.157677*b1538*b1539 + 654*b1539 + 
    0.3153535*b1539^2 + 0.144529*b1539*b1540 + 425*b1540 + 0.2890585*b1540^2 + 
    0.242633*b1540*b1541 + 637*b1541 + 0.4852665*b1541*b1541 + 0.2148085*b1541*
    b1542 + 612*b1542 + 0.4296175*b1542^2 + 0.233579*b1542*b1543 + 481*b1543 + 
    0.467158*b1543^2 + 0.238086*b1543*b1544 + 716*b1544 + 0.4761715*b1544^2 + 
    0.066926*b1544*b1545 + 612*b1545 + 0.133852*b1545^2 + 0.0902745*b1545*b1546
     + 521*b1546 + 0.180549*b1546^2 + 0.144664*b1546*b1547 + 344*b1547 + 
    0.2893275*b1547*b1547 + 0.1226285*b1547*b1548 + 477*b1548 + 0.2452575*b1548
    ^2 + 0.0447945*b1548*b1549 + 454*b1549 + 0.089589*b1549^2 + 0.13292*b1549*
    b1550 + 665*b1550 + 0.2658405*b1550^2 + 0.0395945*b1550*b1551 + 782*b1551
     + 0.079189*b1551^2 + 0.168281*b1551*b1552 + 1028*b1552 + 0.336562*b1552^2
     + 0.01700625*b1552*b1553 + 704*b1553 + 0.0340125*b1553^2 + 0.209485*b1553*
    b1554 + 651*b1554 + 0.41897*b1554^2 + 0.120572*b1554*b1555 + 306*b1555 + 
    0.2411435*b1555^2 + 0.144803*b1555*b1556 + 520*b1556 + 0.2896055*b1556^2 + 
    0.160212*b1556*b1557 + 455*b1557 + 0.320424*b1557^2 + 0.1995145*b1557*b1558
     + 1273*b1558 + 0.3990295*b1558^2 + 0.175829*b1558*b1559 + 31*b1559 + 
    0.351658*b1559*b1559 + 0.243209*b1559*b1560 + 678*b1560 + 0.4864175*b1560^2
     + 0.003488125*b1560*b1561 + 594*b1561 + 0.00697625*b1561^2 + 0.243357*
    b1561*b1562 + 746*b1562 + 0.4867135*b1562^2 + 0.1654945*b1562*b1563 + 562*
    b1563 + 0.3309895*b1563^2 + 0.11089*b1563*b1564 + 480*b1564 + 0.2217805*
    b1564^2 + 0.00963065*b1564*b1565 + 857*b1565 + 0.01926135*b1565^2 + 
    0.088258*b1565*b1566 + 328*b1566 + 0.1765165*b1566^2 + 0.123742*b1566*b1567
     + 378*b1567 + 0.247484*b1567^2 + 0.2213825*b1567*b1568 + 250*b1568 + 
    0.442765*b1568^2 + 0.00862725*b1568*b1569 + 545*b1569 + 0.01725445*b1569^2
     + 0.078148*b1569*b1570 + 625*b1570 + 0.156296*b1570^2 + 0.027397*b1570*
    b1571 + 1402*b1571 + 0.054794*b1571*b1571 + 0.04578375*b1571*b1572 + 388*
    b1572 + 0.0915675*b1572^2 + 0.1027535*b1572*b1573 + 462*b1573 + 0.205507*
    b1573^2 + 0.0190617*b1573*b1574 + 564*b1574 + 0.03812335*b1574^2 + 
    0.0596795*b1574*b1575 + 228*b1575 + 0.1193585*b1575^2 + 0.0941*b1575*b1576
     + 411*b1576 + 0.1882*b1576^2 + 0.1762075*b1576*b1577 + 829*b1577 + 
    0.3524145*b1577^2 + 0.0636155*b1577*b1578 + 765*b1578 + 0.1272315*b1578^2
     + 0.1693835*b1578*b1579 + 430*b1579 + 0.3387665*b1579^2 + 0.1921295*b1579*
    b1580 + 494*b1580 + 0.3842585*b1580^2 + 0.0107241*b1580*b1581 + 542*b1581
     + 0.0214482*b1581^2 + 0.0911385*b1581*b1582 + 579*b1582 + 0.1822765*b1582^
    2 + 0.1756995*b1582*b1583 + 378*b1583 + 0.351399*b1583^2 + 0.1380985*b1583*
    b1584 + 444*b1584 + 0.2761965*b1584^2 + 0.027222*b1584*b1585 + 510*b1585 + 
    0.054444*b1585^2 + 0.139634*b1585*b1586 + 1003*b1586 + 0.2792675*b1586^2 + 
    0.001268655*b1586*b1587 + 704*b1587 + 0.002537305*b1587^2 + 0.0774845*b1587
    *b1588 + 434*b1588 + 0.1549685*b1588^2 + 0.217067*b1588*b1589 + 656*b1589
     + 0.434134*b1589^2 + 0.097472*b1589*b1590 + 453*b1590 + 0.194944*b1590^2
     + 0.0774535*b1590*b1591 + 995*b1591 + 0.1549065*b1591^2 + 0.0616715*b1591*
    b1592 + 501*b1592 + 0.123343*b1592^2 + 0.081858*b1592*b1593 + 360*b1593 + 
    0.1637155*b1593^2 + 0.1799335*b1593*b1594 + 926*b1594 + 0.359867*b1594*
    b1594 + 0.2271535*b1594*b1595 + 486*b1595 + 0.4543065*b1595^2 + 0.188732*
    b1595*b1596 + 460*b1596 + 0.3774645*b1596^2 + 0.184232*b1596*b1597 + 60*
    b1597 + 0.368464*b1597^2 + 0.1777525*b1597*b1598 + 840*b1598 + 0.355505*
    b1598^2 + 0.2497515*b1598*b1599 + 572*b1599 + 0.4995035*b1599^2 + 0.053352*
    b1599*b1600 + 415*b1600 + 0.1067045*b1600*b1600 + 0.060463*b1600*b1601 + 
    736*b1601 + 0.1209255*b1601^2 + 0.04819425*b1601*b1602 + 455*b1602 + 
    0.0963885*b1602^2 + 0.1696045*b1602*b1603 + 380*b1603 + 0.3392085*b1603^2
     + 0.1933865*b1603*b1604 + 709*b1604 + 0.386773*b1604^2 + 0.142356*b1604*
    b1605 + 244*b1605 + 0.2847125*b1605^2 + 0.113893*b1605*b1606 + 679*b1606 + 
    0.227786*b1606*b1606 + 0.0443295*b1606*b1607 + 826*b1607 + 0.088659*b1607^2
     + 0.0308605*b1607*b1608 + 277*b1608 + 0.061721*b1608^2 + 0.216603*b1608*
    b1609 + 447*b1609 + 0.4332065*b1609^2 + 0.1719235*b1609*b1610 + 678*b1610
     + 0.3438475*b1610^2 + 0.0647465*b1610*b1611 + 476*b1611 + 0.1294925*b1611^
    2 + 0.178892*b1611*b1612 + 673*b1612 + 0.357784*b1612*b1612 + 0.137147*
    b1612*b1613 + 399*b1613 + 0.274294*b1613^2 + 0.1782135*b1613*b1614 + 395*
    b1614 + 0.356427*b1614^2 + 0.0503685*b1614*b1615 + 298*b1615 + 0.100737*
    b1615^2 + 0.106378*b1615*b1616 + 1003*b1616 + 0.2127565*b1616^2 + 0.1112785
    *b1616*b1617 + 319*b1617 + 0.2225575*b1617^2 + 0.138611*b1617*b1618 + 990*
    b1618 + 0.2772225*b1618*b1618 + 0.2128405*b1618*b1619 + 58*b1619 + 
    0.4256815*b1619^2 + 0.185678*b1619*b1620 + 438*b1620 + 0.371356*b1620^2 + 
    0.1608285*b1620*b1621 + 1189*b1621 + 0.3216575*b1621^2 + 0.081534*b1621*
    b1622 + 1124*b1622 + 0.1630675*b1622^2 + 0.027684*b1622*b1623 + 1038*b1623
     + 0.055368*b1623^2 + 0.205992*b1623*b1624 + 699*b1624 + 0.4119845*b1624*
    b1624 + 0.031585*b1624*b1625 + 1011*b1625 + 0.06317*b1625^2 + 0.050407*
    b1625*b1626 + 240*b1626 + 0.100814*b1626^2 + 0.2113705*b1626*b1627 + 957*
    b1627 + 0.422741*b1627^2 + 0.179683*b1627*b1628 + 670*b1628 + 0.3593665*
    b1628^2 + 0.076366*b1628*b1629 + 542*b1629 + 0.1527325*b1629*b1629 + 
    0.103266*b1629*b1630 + 507*b1630 + 0.206532*b1630^2 + 0.2114535*b1630*b1631
     + 389*b1631 + 0.422907*b1631^2 + 0.1822245*b1631*b1632 + 178*b1632 + 
    0.3644495*b1632^2 + 0.1224135*b1632*b1633 + 399*b1633 + 0.2448265*b1633^2
     + 0.190395*b1633*b1634 + 670*b1634 + 0.38079*b1634^2 + 0.03481175*b1634*
    b1635 + 486*b1635 + 0.0696235*b1635^2 + 0.03779225*b1635*b1636 + 874*b1636
     + 0.0755845*b1636^2 + 0.1089415*b1636*b1637 + 139*b1637 + 0.2178825*b1637^
    2 + 0.1779855*b1637*b1638 + 373*b1638 + 0.355971*b1638^2 + 0.02893525*b1638
    *b1639 + 730*b1639 + 0.0578705*b1639^2 + 0.03016175*b1639*b1640 + 604*b1640
     + 0.0603235*b1640^2 + 0.1906705*b1640*b1641 + 393*b1641 + 0.3813415*b1641^
    2 + 0.182647*b1641*b1642 + 509*b1642 + 0.365294*b1642^2 + 0.1173835*b1642*
    b1643 + 454*b1643 + 0.234767*b1643^2 + 0.195188*b1643*b1644 + 302*b1644 + 
    0.390376*b1644^2 + 0.06275*b1644*b1645 + 447*b1645 + 0.1254995*b1645^2 + 
    0.078396*b1645*b1646 + 384*b1646 + 0.156792*b1646^2 + 0.2479965*b1646*b1647
     + 471*b1647 + 0.4959935*b1647^2 + 0.046808*b1647*b1648 + 288*b1648 + 
    0.093616*b1648^2 + 0.1831*b1648*b1649 + 691*b1649 + 0.3662005*b1649^2 + 
    0.2286005*b1649*b1650 + 399*b1650 + 0.457201*b1650^2 + 0.1261375*b1650*
    b1651 + 310*b1651 + 0.2522755*b1651^2 + 0.0313065*b1651*b1652 + 1081*b1652
     + 0.062613*b1652^2 + 0.162446*b1652*b1653 + 59*b1653 + 0.3248925*b1653^2
     + 0.038706*b1653*b1654 + 572*b1654 + 0.077412*b1654^2 + 0.169587*b1654*
    b1655 + 595*b1655 + 0.3391735*b1655^2 + 0.035556*b1655*b1656 + 456*b1656 + 
    0.071112*b1656*b1656 + 0.04648825*b1656*b1657 + 540*b1657 + 0.0929765*b1657
    ^2 + 0.240279*b1657*b1658 + 492*b1658 + 0.480558*b1658^2 + 0.001064205*
    b1658*b1659 + 1181*b1659 + 0.00212841*b1659^2 + 0.1770585*b1659*b1660 + 234
    *b1660 + 0.3541175*b1660^2 + 0.03110425*b1660*b1661 + 1072*b1661 + 
    0.0622085*b1661^2 + 0.077284*b1661*b1662 + 432*b1662 + 0.1545685*b1662^2 + 
    0.071104*b1662*b1663 + 549*b1663 + 0.1422085*b1663^2 + 0.0175833*b1663*
    b1664 + 791*b1664 + 0.0351666*b1664^2 + 0.00152318*b1664*b1665 + 444*b1665
     + 0.003046355*b1665^2 + 0.238885*b1665*b1666 + 612*b1666 + 0.47777*b1666^2
     + 0.092813*b1666*b1667 + 768*b1667 + 0.185626*b1667^2 + 0.122704*b1667*
    b1668 + 859*b1668 + 0.245408*b1668*b1668 + 0.048603*b1668*b1669 + 228*b1669
     + 0.097206*b1669^2 + 0.065566*b1669*b1670 + 437*b1670 + 0.131132*b1670^2
     + 0.1738195*b1670*b1671 + 525*b1671 + 0.347639*b1671^2 + 0.0549235*b1671*
    b1672 + 798*b1672 + 0.109847*b1672^2 + 0.2385885*b1672*b1673 + 417*b1673 + 
    0.4771765*b1673*b1673 + 0.03726725*b1673*b1674 + 388*b1674 + 0.0745345*
    b1674^2 + 0.158356*b1674*b1675 + 607*b1675 + 0.316712*b1675^2 + 0.1477435*
    b1675*b1676 + 876*b1676 + 0.295487*b1676^2 + 0.0812975*b1676*b1677 + 528*
    b1677 + 0.162595*b1677^2 + 0.1966675*b1677*b1678 + 645*b1678 + 0.393335*
    b1678^2 + 0.110822*b1678*b1679 + 1210*b1679 + 0.221644*b1679*b1679 + 
    0.02391725*b1679*b1680 + 142*b1680 + 0.04783445*b1680^2 + 0.040584*b1680*
    b1681 + 557*b1681 + 0.081168*b1681^2 + 0.101431*b1681*b1682 + 441*b1682 + 
    0.2028615*b1682^2 + 0.053833*b1682*b1683 + 224*b1683 + 0.1076665*b1683^2 + 
    0.059509*b1683*b1684 + 1211*b1684 + 0.119018*b1684^2 + 0.195811*b1684*b1685
     + 574*b1685 + 0.3916225*b1685*b1685 + 0.1960495*b1685*b1686 + 704*b1686 + 
    0.392099*b1686^2 + 0.1951055*b1686*b1687 + 188*b1687 + 0.3902105*b1687^2 + 
    0.1294335*b1687*b1688 + 705*b1688 + 0.258867*b1688^2 + 0.1214165*b1688*
    b1689 + 960*b1689 + 0.2428325*b1689^2 + 0.156507*b1689*b1690 + 603*b1690 + 
    0.3130145*b1690^2 + 0.1838365*b1690*b1691 + 36*b1691 + 0.3676735*b1691*
    b1691 + 0.13122*b1691*b1692 + 667*b1692 + 0.26244*b1692^2 + 0.0213946*b1692
    *b1693 + 641*b1693 + 0.0427892*b1693^2 + 0.1046985*b1693*b1694 + 690*b1694
     + 0.2093965*b1694^2 + 0.0083239*b1694*b1695 + 435*b1695 + 0.0166478*b1695^
    2 + 0.1815355*b1695*b1696 + 388*b1696 + 0.363071*b1696^2 + 0.129576*b1696*
    b1697 + 632*b1697 + 0.259152*b1697^2 + 0.209929*b1697*b1698 + 716*b1698 + 
    0.419858*b1698^2 + 0.1623505*b1698*b1699 + 786*b1699 + 0.3247005*b1699^2 + 
    0.2386645*b1699*b1700 + 370*b1700 + 0.477329*b1700^2 + 0.118866*b1700*b1701
     + 559*b1701 + 0.237732*b1701^2 + 0.04657525*b1701*b1702 + 694*b1702 + 
    0.0931505*b1702^2 + 0.02755475*b1702*b1703 + 991*b1703 + 0.0551095*b1703^2
     + 0.1309735*b1703*b1704 + 58*b1704 + 0.261947*b1704^2 + 0.1107025*b1704*
    b1705 + 344*b1705 + 0.2214045*b1705^2 + 0.2000975*b1705*b1706 + 498*b1706
     + 0.4001945*b1706^2 + 0.02842*b1706*b1707 + 375*b1707 + 0.05684*b1707*
    b1707 + 0.1548115*b1707*b1708 + 436*b1708 + 0.309623*b1708^2 + 0.202943*
    b1708*b1709 + 532*b1709 + 0.405886*b1709^2 + 0.127019*b1709*b1710 + 511*
    b1710 + 0.254038*b1710^2 + 0.237059*b1710*b1711 + 604*b1711 + 0.4741175*
    b1711^2 + 0.242876*b1711*b1712 + 536*b1712 + 0.4857515*b1712^2 + 0.04332175
    *b1712*b1713 + 768*b1713 + 0.0866435*b1713^2 + 0.029465*b1713*b1714 + 236*
    b1714 + 0.05893*b1714^2 + 0.242611*b1714*b1715 + 428*b1715 + 0.485222*b1715
    ^2 + 0.138279*b1715*b1716 + 434*b1716 + 0.2765575*b1716^2 + 0.01064745*
    b1716*b1717 + 706*b1717 + 0.0212949*b1717^2 + 0.0269245*b1717*b1718 + 398*
    b1718 + 0.053849*b1718^2 + 0.2434005*b1718*b1719 + 465*b1719 + 0.4868015*
    b1719*b1719 + 0.1980515*b1719*b1720 + 393*b1720 + 0.396103*b1720^2 + 
    0.1549815*b1720*b1721 + 684*b1721 + 0.309963*b1721^2 + 0.151511*b1721*b1722
     + 260*b1722 + 0.303022*b1722^2 + 0.168041*b1722*b1723 + 492*b1723 + 
    0.336082*b1723^2 + 0.209522*b1723*b1724 + 472*b1724 + 0.419044*b1724^2 + 
    0.1899415*b1724*b1725 + 825*b1725 + 0.379883*b1725^2 + 0.03936775*b1725*
    b1726 + 1064*b1726 + 0.0787355*b1726^2 + 0.1959335*b1726*b1727 + 896*b1727
     + 0.391867*b1727^2 + 0.1575045*b1727*b1728 + 546*b1728 + 0.3150085*b1728^2
     + 0.03140175*b1728*b1729 + 1116*b1729 + 0.0628035*b1729^2 + 0.0088356*
    b1729*b1730 + 578*b1730 + 0.0176712*b1730^2 + 0.1920535*b1730*b1731 + 316*
    b1731 + 0.384107*b1731^2 + 0.175723*b1731*b1732 + 740*b1732 + 0.351446*
    b1732^2 + 0.213243*b1732*b1733 + 1186*b1733 + 0.4264865*b1733^2 + 
    0.01949875*b1733*b1734 + 672*b1734 + 0.03899745*b1734^2 + 0.2020915*b1734*
    b1735 + 786*b1735 + 0.404183*b1735^2 + 0.2227965*b1735*b1736 + 297*b1736 + 
    0.4455935*b1736*b1736 + 0.02843275*b1736*b1737 + 992*b1737 + 0.0568655*
    b1737^2 + 0.165345*b1737*b1738 + 225*b1738 + 0.3306905*b1738^2 + 0.0945605*
    b1738*b1739 + 765*b1739 + 0.189121*b1739^2 + 0.0995305*b1739*b1740 + 238*
    b1740 + 0.199061*b1740^2 + 0.03721275*b1740*b1741 + 661*b1741 + 0.0744255*
    b1741^2 + 0.1430955*b1741*b1742 + 1401*b1742 + 0.2861915*b1742^2 + 
    0.2264195*b1742*b1743 + 407*b1743 + 0.452839*b1743^2 + 0.1690175*b1743*
    b1744 + 742*b1744 + 0.3380355*b1744^2 + 0.00615365*b1744*b1745 + 369*b1745
     + 0.01230735*b1745^2 + 0.03201675*b1745*b1746 + 585*b1746 + 0.0640335*
    b1746^2 + 0.02272035*b1746*b1747 + 616*b1747 + 0.0454407*b1747^2 + 
    0.0166662*b1747*b1748 + 401*b1748 + 0.0333324*b1748^2 + 0.1273925*b1748*
    b1749 + 188*b1749 + 0.2547845*b1749^2 + 0.217257*b1749*b1750 + 495*b1750 + 
    0.434514*b1750^2 + 0.2070105*b1750*b1751 + 468*b1751 + 0.4140215*b1751^2 + 
    0.02854025*b1751*b1752 + 780*b1752 + 0.0570805*b1752^2 + 0.068041*b1752*
    b1753 + 939*b1753 + 0.136082*b1753^2 + 0.057848*b1753*b1754 + 766*b1754 + 
    0.1156955*b1754*b1754 + 0.239201*b1754*b1755 + 543*b1755 + 0.478402*b1755^2
     + 0.164008*b1755*b1756 + 302*b1756 + 0.328016*b1756^2 + 0.1793395*b1756*
    b1757 + 1240*b1757 + 0.3586785*b1757^2 + 0.0808275*b1757*b1758 + 383*b1758
     + 0.1616545*b1758^2 + 0.1051015*b1758*b1759 + 643*b1759 + 0.2102035*b1759^
    2 + 0.078201*b1759*b1760 + 667*b1760 + 0.156402*b1760^2 + 0.009824*b1760*
    b1761 + 626*b1761 + 0.01964795*b1761^2 + 0.2485635*b1761*b1762 + 288*b1762
     + 0.497127*b1762^2 + 0.2408775*b1762*b1763 + 440*b1763 + 0.481755*b1763^2
     + 0.121236*b1763*b1764 + 346*b1764 + 0.2424715*b1764^2 + 0.056701*b1764*
    b1765 + 441*b1765 + 0.1134015*b1765*b1765 + 0.246771*b1765*b1766 + 812*
    b1766 + 0.4935415*b1766^2 + 0.1126485*b1766*b1767 + 222*b1767 + 0.2252965*
    b1767^2 + 0.2015625*b1767*b1768 + 222*b1768 + 0.403125*b1768^2 + 0.1436925*
    b1768*b1769 + 781*b1769 + 0.287385*b1769^2 + 0.0696485*b1769*b1770 + 636*
    b1770 + 0.139297*b1770^2 + 0.2277135*b1770*b1771 + 900*b1771 + 0.4554265*
    b1771*b1771 + 0.083486*b1771*b1772 + 954*b1772 + 0.1669725*b1772^2 + 
    0.1434005*b1772*b1773 + 544*b1773 + 0.2868005*b1773^2 + 0.2282925*b1773*
    b1774 + 588*b1774 + 0.4565855*b1774^2 + 0.0730665*b1774*b1775 + 462*b1775
     + 0.146133*b1775^2 + 0.148881*b1775*b1776 + 351*b1776 + 0.2977615*b1776^2
     + 0.231067*b1776*b1777 + 384*b1777 + 0.462134*b1777*b1777 + 0.1752055*
    b1777*b1778 + 232*b1778 + 0.350411*b1778^2 + 0.0386375*b1778*b1779 + 453*
    b1779 + 0.077275*b1779^2 + 0.1437845*b1779*b1780 + 673*b1780 + 0.287569*
    b1780^2 + 0.1274535*b1780*b1781 + 742*b1781 + 0.254907*b1781^2 + 0.079128*
    b1781*b1782 + 519*b1782 + 0.1582565*b1782^2 + 0.1186475*b1782*b1783 + 558*
    b1783 + 0.237295*b1783*b1783 + 0.0674095*b1783*b1784 + 578*b1784 + 0.134819
    *b1784^2 + 0.064419*b1784*b1785 + 402*b1785 + 0.128838*b1785^2 + 0.02763775
    *b1785*b1786 + 912*b1786 + 0.0552755*b1786^2 + 0.086072*b1786*b1787 + 561*
    b1787 + 0.1721435*b1787^2 + 0.055754*b1787*b1788 + 1062*b1788 + 0.111508*
    b1788^2 + 0.028919*b1788*b1789 + 740*b1789 + 0.057838*b1789*b1789 + 
    0.030344*b1789*b1790 + 424*b1790 + 0.060688*b1790^2 + 0.027956*b1790*b1791
     + 937*b1791 + 0.055912*b1791^2 + 0.1751805*b1791*b1792 + 504*b1792 + 
    0.3503615*b1792^2 + 0.176518*b1792*b1793 + 83*b1793 + 0.353036*b1793^2 + 
    0.0513205*b1793*b1794 + 231*b1794 + 0.102641*b1794*b1794 + 0.238137*b1794*
    b1795 + 504*b1795 + 0.476274*b1795^2 + 0.2066945*b1795*b1796 + 327*b1796 + 
    0.413389*b1796^2 + 0.2030745*b1796*b1797 + 929*b1797 + 0.4061495*b1797^2 + 
    0.0564285*b1797*b1798 + 445*b1798 + 0.1128575*b1798^2 + 0.234479*b1798*
    b1799 + 500*b1799 + 0.4689575*b1799^2 + 0.177442*b1799*b1800 + 380*b1800 + 
    0.354884*b1800*b1800 + 0.142798*b1800*b1801 + 664*b1801 + 0.285596*b1801^2
     + 0.028215*b1801*b1802 + 142*b1802 + 0.05643*b1802^2 + 0.121415*b1802*
    b1803 + 229*b1803 + 0.24283*b1803^2 + 0.03390625*b1803*b1804 + 608*b1804 + 
    0.0678125*b1804^2 + 0.137009*b1804*b1805 + 81*b1805 + 0.2740175*b1805*b1805
     + 0.148816*b1805*b1806 + 1112*b1806 + 0.297632*b1806^2 + 0.102384*b1806*
    b1807 + 668*b1807 + 0.204768*b1807^2 + 0.1814995*b1807*b1808 + 1047*b1808
     + 0.362999*b1808^2 + 0.1311065*b1808*b1809 + 377*b1809 + 0.2622125*b1809^2
     + 0.036807*b1809*b1810 + 913*b1810 + 0.073614*b1810^2 + 0.22565*b1810*
    b1811 + 577*b1811 + 0.4513005*b1811*b1811 + 0.2189385*b1811*b1812 + 616*
    b1812 + 0.4378765*b1812^2 + 0.150824*b1812*b1813 + 216*b1813 + 0.3016485*
    b1813^2 + 0.1864135*b1813*b1814 + 388*b1814 + 0.372827*b1814^2 + 0.1065085*
    b1814*b1815 + 609*b1815 + 0.2130175*b1815^2 + 0.0959775*b1815*b1816 + 467*
    b1816 + 0.1919545*b1816^2 + 0.0718365*b1816*b1817 + 863*b1817 + 0.1436725*
    b1817^2 + 0.2001085*b1817*b1818 + 258*b1818 + 0.400217*b1818^2 + 0.089178*
    b1818*b1819 + 828*b1819 + 0.1783555*b1819^2 + 0.114024*b1819*b1820 + 71*
    b1820 + 0.2280485*b1820^2 + 0.1911465*b1820*b1821 + 526*b1821 + 0.382293*
    b1821^2 + 0.138524*b1821*b1822 + 525*b1822 + 0.2770485*b1822^2 + 0.058185*
    b1822*b1823 + 525*b1823 + 0.1163695*b1823*b1823 + 0.02403475*b1823*b1824 + 
    479*b1824 + 0.0480695*b1824^2 + 0.235948*b1824*b1825 + 871*b1825 + 
    0.4718955*b1825^2 + 0.0105741*b1825*b1826 + 599*b1826 + 0.02114815*b1826^2
     + 0.207356*b1826*b1827 + 435*b1827 + 0.4147125*b1827^2 + 0.193447*b1827*
    b1828 + 529*b1828 + 0.386894*b1828^2 + 0.0514645*b1828*b1829 + 1195*b1829
     + 0.1029285*b1829^2 + 0.0930245*b1829*b1830 + 517*b1830 + 0.186049*b1830^2
     + 0.2065255*b1830*b1831 + 740*b1831 + 0.413051*b1831^2 + 0.1902175*b1831*
    b1832 + 455*b1832 + 0.3804345*b1832^2 + 0.1832535*b1832*b1833 + 622*b1833
     + 0.366507*b1833^2 + 0.136778*b1833*b1834 + 328*b1834 + 0.273556*b1834^2
     + 0.03798975*b1834*b1835 + 477*b1835 + 0.0759795*b1835^2 + 0.1030305*b1835
    *b1836 + 621*b1836 + 0.2060605*b1836^2 + 0.159119*b1836*b1837 + 412*b1837
     + 0.3182375*b1837^2 + 0.027818*b1837*b1838 + 576*b1838 + 0.055636*b1838^2
     + 0.231113*b1838*b1839 + 615*b1839 + 0.4622265*b1839^2 + 0.03707975*b1839*
    b1840 + 592*b1840 + 0.0741595*b1840^2 + 0.1861955*b1840*b1841 + 247*b1841
     + 0.3723905*b1841^2 + 0.1433255*b1841*b1842 + 527*b1842 + 0.286651*b1842^2
     + 0.03368225*b1842*b1843 + 476*b1843 + 0.0673645*b1843^2 + 0.179747*b1843*
    b1844 + 69*b1844 + 0.3594945*b1844^2 + 0.133556*b1844*b1845 + 719*b1845 + 
    0.2671115*b1845^2 + 0.141193*b1845*b1846 + 410*b1846 + 0.2823865*b1846*
    b1846 + 0.249297*b1846*b1847 + 890*b1847 + 0.4985935*b1847^2 + 0.1828965*
    b1847*b1848 + 611*b1848 + 0.3657925*b1848^2 + 0.055283*b1848*b1849 + 418*
    b1849 + 0.110566*b1849^2 + 0.0216193*b1849*b1850 + 591*b1850 + 0.04323855*
    b1850^2 + 0.225237*b1850*b1851 + 646*b1851 + 0.450474*b1851^2 + 0.1931015*
    b1851*b1852 + 342*b1852 + 0.3862025*b1852*b1852 + 0.113906*b1852*b1853 + 
    431*b1853 + 0.2278115*b1853^2 + 0.2369525*b1853*b1854 + 548*b1854 + 
    0.4739055*b1854^2 + 0.0576925*b1854*b1855 + 538*b1855 + 0.1153845*b1855^2
     + 0.202978*b1855*b1856 + 815*b1856 + 0.4059555*b1856^2 + 0.04193975*b1856*
    b1857 + 827*b1857 + 0.0838795*b1857^2 + 0.1607685*b1857*b1858 + 1017*b1858
     + 0.321537*b1858^2 + 0.0257785*b1858*b1859 + 430*b1859 + 0.051557*b1859^2
     + 0.234755*b1859*b1860 + 244*b1860 + 0.46951*b1860^2 + 0.1434455*b1860*
    b1861 + 250*b1861 + 0.286891*b1861^2 + 0.2044505*b1861*b1862 + 621*b1862 + 
    0.4089005*b1862^2 + 0.247516*b1862*b1863 + 416*b1863 + 0.495032*b1863^2 + 
    0.097833*b1863*b1864 + 445*b1864 + 0.195666*b1864*b1864 + 0.0077408*b1864*
    b1865 + 764*b1865 + 0.01548165*b1865^2 + 0.210011*b1865*b1866 + 419*b1866
     + 0.420022*b1866^2 + 0.1815335*b1866*b1867 + 524*b1867 + 0.363067*b1867^2
     + 0.0479695*b1867*b1868 + 472*b1868 + 0.095939*b1868^2 + 0.1477605*b1868*
    b1869 + 676*b1869 + 0.2955205*b1869^2 + 0.2054845*b1869*b1870 + 727*b1870
     + 0.4109685*b1870^2 + 0.03772625*b1870*b1871 + 1458*b1871 + 0.0754525*
    b1871^2 + 0.133069*b1871*b1872 + 684*b1872 + 0.2661375*b1872^2 + 0.2197975*
    b1872*b1873 + 313*b1873 + 0.4395955*b1873^2 + 0.10204*b1873*b1874 + 243*
    b1874 + 0.20408*b1874^2 + 0.1078285*b1874*b1875 + 668*b1875 + 0.215657*
    b1875^2 + 0.131676*b1875*b1876 + 467*b1876 + 0.2633525*b1876*b1876 + 
    0.2053615*b1876*b1877 + 576*b1877 + 0.410723*b1877^2 + 0.1974095*b1877*
    b1878 + 769*b1878 + 0.3948185*b1878^2 + 0.191929*b1878*b1879 + 36*b1879 + 
    0.3838585*b1879^2 + 0.210357*b1879*b1880 + 1129*b1880 + 0.4207145*b1880^2
     + 0.03592675*b1880*b1881 + 766*b1881 + 0.0718535*b1881^2 + 0.083394*b1881*
    b1882 + 1169*b1882 + 0.166788*b1882*b1882 + 0.02494165*b1882*b1883 + 378*
    b1883 + 0.0498833*b1883^2 + 0.036864*b1883*b1884 + 659*b1884 + 0.073728*
    b1884^2 + 0.001569975*b1884*b1885 + 449*b1885 + 0.003139955*b1885^2 + 
    0.1857935*b1885*b1886 + 878*b1886 + 0.371587*b1886^2 + 0.1756815*b1886*
    b1887 + 284*b1887 + 0.351363*b1887^2 + 0.1839465*b1887*b1888 + 34*b1888 + 
    0.3678935*b1888*b1888 + 0.1063185*b1888*b1889 + 711*b1889 + 0.212637*b1889^
    2 + 0.02401945*b1889*b1890 + 416*b1890 + 0.0480389*b1890^2 + 0.07099*b1890*
    b1891 + 149*b1891 + 0.14198*b1891^2 + 0.245901*b1891*b1892 + 674*b1892 + 
    0.491802*b1892^2 + 0.2296365*b1892*b1893 + 544*b1893 + 0.459273*b1893^2 + 
    0.105555*b1893*b1894 + 479*b1894 + 0.21111*b1894*b1894 + 0.088062*b1894*
    b1895 + 983*b1895 + 0.1761245*b1895^2 + 0.204279*b1895*b1896 + 485*b1896 + 
    0.4085585*b1896^2 + 0.0982555*b1896*b1897 + 458*b1897 + 0.196511*b1897^2 + 
    0.215513*b1897*b1898 + 443*b1898 + 0.4310255*b1898^2 + 0.1614625*b1898*
    b1899 + 224*b1899 + 0.3229245*b1899^2 + 0.208206*b1899*b1900 + 413*b1900 + 
    0.416412*b1900*b1900 + 0.1473145*b1900*b1901 + 522*b1901 + 0.294629*b1901^2
     + 0.026297*b1901*b1902 + 423*b1902 + 0.052594*b1902^2 + 0.079141*b1902*
    b1903 + 331*b1903 + 0.1582825*b1903^2 + 0.0762895*b1903*b1904 + 773*b1904
     + 0.152579*b1904^2 + 0.1007005*b1904*b1905 + 781*b1905 + 0.201401*b1905^2
     + 0.0503895*b1905*b1906 + 275*b1906 + 0.1007795*b1906*b1906 + 0.03659775*
    b1906*b1907 + 482*b1907 + 0.0731955*b1907^2 + 0.192785*b1907*b1908 + 875*
    b1908 + 0.3855705*b1908^2 + 0.01362505*b1908*b1909 + 227*b1909 + 0.0272501*
    b1909^2 + 0.0133644*b1909*b1910 + 418*b1910 + 0.02672885*b1910^2 + 
    0.0222966*b1910*b1911 + 393*b1911 + 0.0445932*b1911^2 + 0.1608625*b1911*
    b1912 + 657*b1912 + 0.321725*b1912*b1912 + 0.0595775*b1912*b1913 + 409*
    b1913 + 0.1191555*b1913^2 + 0.1819825*b1913*b1914 + 259*b1914 + 0.3639655*
    b1914^2 + 0.138824*b1914*b1915 + 448*b1915 + 0.277648*b1915^2 + 0.1330535*
    b1915*b1916 + 435*b1916 + 0.266107*b1916^2 + 0.1014695*b1916*b1917 + 309*
    b1917 + 0.2029395*b1917^2 + 0.0581145*b1917*b1918 + 508*b1918 + 0.116229*
    b1918*b1918 + 0.01785395*b1918*b1919 + 108*b1919 + 0.0357079*b1919^2 + 
    0.186788*b1919*b1920 + 935*b1920 + 0.373576*b1920^2 + 0.1226615*b1920*b1921
     + 1136*b1921 + 0.245323*b1921^2 + 0.144558*b1921*b1922 + 487*b1922 + 
    0.2891165*b1922^2 + 0.234204*b1922*b1923 + 285*b1923 + 0.468408*b1923^2 + 
    0.21047*b1923*b1924 + 297*b1924 + 0.4209395*b1924*b1924 + 0.1699865*b1924*
    b1925 + 503*b1925 + 0.3399725*b1925^2 + 0.12226*b1925*b1926 + 602*b1926 + 
    0.24452*b1926^2 + 0.2288555*b1926*b1927 + 341*b1927 + 0.457711*b1927^2 + 
    0.107409*b1927*b1928 + 226*b1928 + 0.214818*b1928^2 + 0.119237*b1928*b1929
     + 1131*b1929 + 0.238474*b1929^2 + 0.2410005*b1929*b1930 + 483*b1930 + 
    0.482001*b1930*b1930 + 0.0428655*b1930*b1931 + 616*b1931 + 0.085731*b1931^2
     + 0.089785*b1931*b1932 + 798*b1932 + 0.1795705*b1932^2 + 0.200507*b1932*
    b1933 + 825*b1933 + 0.4010145*b1933^2 + 0.147487*b1933*b1934 + 460*b1934 + 
    0.2949745*b1934^2 + 0.2060355*b1934*b1935 + 1320*b1935 + 0.412071*b1935^2
     + 0.04074*b1935*b1936 + 906*b1936 + 0.08148*b1936*b1936 + 0.085355*b1936*
    b1937 + 631*b1937 + 0.17071*b1937^2 + 0.0622705*b1937*b1938 + 345*b1938 + 
    0.124541*b1938^2 + 0.241636*b1938*b1939 + 1115*b1939 + 0.483272*b1939^2 + 
    0.0534905*b1939*b1940 + 503*b1940 + 0.1069805*b1940^2 + 0.178164*b1940*
    b1941 + 700*b1941 + 0.3563285*b1941*b1941 + 0.150622*b1941*b1942 + 787*
    b1942 + 0.301244*b1942^2 + 0.067066*b1942*b1943 + 522*b1943 + 0.1341325*
    b1943^2 + 0.02802675*b1943*b1944 + 644*b1944 + 0.0560535*b1944^2 + 
    0.1725665*b1944*b1945 + 743*b1945 + 0.3451325*b1945^2 + 0.109777*b1945*
    b1946 + 506*b1946 + 0.2195535*b1946^2 + 0.00133639*b1946*b1947 + 994*b1947
     + 0.00267278*b1947^2 + 0.080823*b1947*b1948 + 391*b1948 + 0.161646*b1948^2
     + 0.02010495*b1948*b1949 + 742*b1949 + 0.0402099*b1949^2 + 0.07424*b1949*
    b1950 + 620*b1950 + 0.14848*b1950^2 + 0.0937425*b1950*b1951 + 595*b1951 + 
    0.187485*b1951^2 + 0.1713195*b1951*b1952 + 568*b1952 + 0.342639*b1952^2 + 
    0.06988*b1952*b1953 + 434*b1953 + 0.13976*b1953*b1953 + 0.153429*b1953*
    b1954 + 1115*b1954 + 0.3068575*b1954^2 + 0.049267*b1954*b1955 + 558*b1955
     + 0.098534*b1955^2 + 0.1721505*b1955*b1956 + 642*b1956 + 0.3443015*b1956^2
     + 0.143306*b1956*b1957 + 420*b1957 + 0.286612*b1957^2 + 0.03122125*b1957*
    b1958 + 663*b1958 + 0.0624425*b1958^2 + 0.171484*b1958*b1959 + 524*b1959 + 
    0.342968*b1959*b1959 + 0.046109*b1959*b1960 + 493*b1960 + 0.092218*b1960^2
     + 0.204106*b1960*b1961 + 472*b1961 + 0.4082125*b1961^2 + 0.152578*b1961*
    b1962 + 454*b1962 + 0.3051555*b1962^2 + 0.1197915*b1962*b1963 + 76*b1963 + 
    0.2395825*b1963^2 + 0.0193365*b1963*b1964 + 492*b1964 + 0.038673*b1964*
    b1964 + 0.1169955*b1964*b1965 + 230*b1965 + 0.2339915*b1965^2 + 0.1175675*
    b1965*b1966 + 753*b1966 + 0.2351355*b1966^2 + 0.0340795*b1966*b1967 + 211*
    b1967 + 0.068159*b1967^2 + 0.0772925*b1967*b1968 + 472*b1968 + 0.154585*
    b1968^2 + 0.1456895*b1968*b1969 + 427*b1969 + 0.291379*b1969^2 + 0.0888555*
    b1969*b1970 + 190*b1970 + 0.177711*b1970*b1970 + 0.2255265*b1970*b1971 + 
    433*b1971 + 0.4510525*b1971^2 + 0.1725065*b1971*b1972 + 858*b1972 + 
    0.345013*b1972^2 + 0.22947*b1972*b1973 + 791*b1973 + 0.45894*b1973^2 + 
    0.0236125*b1973*b1974 + 361*b1974 + 0.04722505*b1974^2 + 0.2143955*b1974*
    b1975 + 827*b1975 + 0.4287915*b1975^2 + 0.05782*b1975*b1976 + 267*b1976 + 
    0.11564*b1976*b1976 + 0.2458285*b1976*b1977 + 364*b1977 + 0.491657*b1977^2
     + 0.064394*b1977*b1978 + 559*b1978 + 0.128788*b1978^2 + 0.148632*b1978*
    b1979 + 696*b1979 + 0.297264*b1979^2 + 0.047746*b1979*b1980 + 560*b1980 + 
    0.095492*b1980^2 + 0.0343985*b1980*b1981 + 436*b1981 + 0.068797*b1981^2 + 
    0.093897*b1981*b1982 + 386*b1982 + 0.187794*b1982*b1982 + 0.1250845*b1982*
    b1983 + 378*b1983 + 0.250169*b1983^2 + 0.1173835*b1983*b1984 + 259*b1984 + 
    0.234767*b1984^2 + 0.051963*b1984*b1985 + 1479*b1985 + 0.1039255*b1985^2 + 
    0.11316*b1985*b1986 + 420*b1986 + 0.2263195*b1986^2 + 0.136396*b1986*b1987
     + 449*b1987 + 0.272792*b1987^2 + 0.229417*b1987*b1988 + 278*b1988 + 
    0.4588335*b1988*b1988 + 0.0469505*b1988*b1989 + 928*b1989 + 0.093901*b1989^
    2 + 0.076693*b1989*b1990 + 400*b1990 + 0.1533855*b1990^2 + 0.0899855*b1990*
    b1991 + 617*b1991 + 0.179971*b1991^2 + 0.04780525*b1991*b1992 + 395*b1992
     + 0.0956105*b1992^2 + 0.033016*b1992*b1993 + 308*b1993 + 0.066032*b1993^2
     + 0.0823375*b1993*b1994 + 571*b1994 + 0.164675*b1994*b1994 + 0.227591*
    b1994*b1995 + 728*b1995 + 0.455182*b1995^2 + 0.0829345*b1995*b1996 + 614*
    b1996 + 0.165869*b1996^2 + 0.0566445*b1996*b1997 + 442*b1997 + 0.1132885*
    b1997^2 + 0.1595125*b1997*b1998 + 521*b1998 + 0.319025*b1998^2 + 0.227751*
    b1998*b1999 + 507*b1999 + 0.4555025*b1999^2 + 0.0853135*b1999*b2000 + 580*
    b2000 + 0.170627*b2000*b2000 + 0.02478415*b2000*b2001 + 595*b2001 + 
    0.04956835*b2001^2 + 0.159061*b2001*b2002 + 586*b2002 + 0.3181225*b2002^2
     + 0.214401*b2002*b2003 + 340*b2003 + 0.4288025*b2003^2 + 0.0998245*b2003*
    b2004 + 631*b2004 + 0.1996485*b2004^2 + 0.00118921*b2004*b2005 + 797*b2005
     + 0.002378415*b2005^2 + 0.2108*b2005*b2006 + 500*b2006 + 0.4215995*b2006*
    b2006 + 0.134057*b2006*b2007 + 227*b2007 + 0.2681135*b2007^2 + 0.241824*
    b2007*b2008 + 1460*b2008 + 0.483648*b2008^2 + 0.1108475*b2008*b2009 + 396*
    b2009 + 0.221695*b2009^2 + 0.1981305*b2009*b2010 + 441*b2010 + 0.3962605*
    b2010^2 + 0.2367555*b2010*b2011 + 205*b2011 + 0.4735115*b2011^2 + 0.138886*
    b2011*b2012 + 899*b2012 + 0.277772*b2012*b2012 + 0.1483365*b2012*b2013 + 
    446*b2013 + 0.296673*b2013^2 + 0.04671825*b2013*b2014 + 581*b2014 + 
    0.0934365*b2014^2 + 0.2429855*b2014*b2015 + 302*b2015 + 0.485971*b2015^2 + 
    0.222815*b2015*b2016 + 578*b2016 + 0.4456305*b2016^2 + 0.2409305*b2016*
    b2017 + 494*b2017 + 0.481861*b2017^2 + 0.0466885*b2017*b2018 + 457*b2018 + 
    0.093377*b2018*b2018 + 0.0922645*b2018*b2019 + 69*b2019 + 0.1845285*b2019^2
     + 0.1653475*b2019*b2020 + 822*b2020 + 0.330695*b2020^2 + 0.1844515*b2020*
    b2021 + 1222*b2021 + 0.3689035*b2021^2 + 0.1120705*b2021*b2022 + 332*b2022
     + 0.2241415*b2022^2 + 0.1866455*b2022*b2023 + 977*b2023 + 0.373291*b2023^2
     + 0.078918*b2023*b2024 + 796*b2024 + 0.157836*b2024*b2024 + 0.002882475*
    b2024*b2025 + 561*b2025 + 0.00576495*b2025^2 + 0.2338755*b2025*b2026 + 513*
    b2026 + 0.467751*b2026^2 + 0.198117*b2026*b2027 + 772*b2027 + 0.3962335*
    b2027^2 + 0.167812*b2027*b2028 + 489*b2028 + 0.3356235*b2028^2 + 0.02695225
    *b2028*b2029 + 453*b2029 + 0.0539045*b2029^2 + 0.2408195*b2029*b2030 + 416*
    b2030 + 0.4816385*b2030^2 + 0.1405695*b2030*b2031 + 575*b2031 + 0.281139*
    b2031^2 + 0.159735*b2031*b2032 + 1006*b2032 + 0.3194695*b2032^2 + 0.199769*
    b2032*b2033 + 553*b2033 + 0.399538*b2033^2 + 0.1011065*b2033*b2034 + 277*
    b2034 + 0.2022135*b2034^2 + 0.1915335*b2034*b2035 + 837*b2035 + 0.383067*
    b2035^2 + 0.0939425*b2035*b2036 + 837*b2036 + 0.187885*b2036*b2036 + 
    0.06794*b2036*b2037 + 443*b2037 + 0.13588*b2037^2 + 0.2330635*b2037*b2038
     + 404*b2038 + 0.466127*b2038^2 + 0.20689*b2038*b2039 + 811*b2039 + 
    0.4137805*b2039^2 + 0.18542*b2039*b2040 + 693*b2040 + 0.37084*b2040^2 + 
    0.1350485*b2040*b2041 + 212*b2041 + 0.270097*b2041^2 + 0.01885815*b2041*
    b2042 + 584*b2042 + 0.0377163*b2042^2 + 0.245469*b2042*b2043 + 471*b2043 + 
    0.490938*b2043^2 + 0.096985*b2043*b2044 + 287*b2044 + 0.19397*b2044^2 + 
    0.1410895*b2044*b2045 + 567*b2045 + 0.282179*b2045^2 + 0.1438225*b2045*
    b2046 + 652*b2046 + 0.287645*b2046*b2046 + 0.076606*b2046*b2047 + 853*b2047
     + 0.1532115*b2047^2 + 0.2404595*b2047*b2048 + 370*b2048 + 0.480919*b2048^2
     + 0.080298*b2048*b2049 + 461*b2049 + 0.1605955*b2049^2 + 0.104772*b2049*
    b2050 + 821*b2050 + 0.2095445*b2050^2 + 0.0830625*b2050*b2051 + 633*b2051
     + 0.166125*b2051^2 + 0.1459355*b2051*b2052 + 533*b2052 + 0.291871*b2052*
    b2052 + 0.134308*b2052*b2053 + 647*b2053 + 0.2686165*b2053^2 + 0.1420985*
    b2053*b2054 + 206*b2054 + 0.2841975*b2054^2 + 0.06655*b2054*b2055 + 564*
    b2055 + 0.1331*b2055^2 + 0.0746835*b2055*b2056 + 527*b2056 + 0.1493675*
    b2056^2 + 0.155262*b2056*b2057 + 340*b2057 + 0.3105235*b2057^2 + 0.1244275*
    b2057*b2058 + 432*b2058 + 0.248855*b2058^2 + 0.115334*b2058*b2059 + 418*
    b2059 + 0.2306685*b2059^2 + 0.1149815*b2059*b2060 + 810*b2060 + 0.229963*
    b2060^2 + 0.1810655*b2060*b2061 + 554*b2061 + 0.3621305*b2061^2 + 0.023751*
    b2061*b2062 + 956*b2062 + 0.04750205*b2062^2 + 0.0473015*b2062*b2063 + 614*
    b2063 + 0.094603*b2063^2 + 0.227947*b2063*b2064 + 567*b2064 + 0.455894*
    b2064^2 + 0.1949725*b2064*b2065 + 917*b2065 + 0.3899445*b2065^2 + 0.0891765
    *b2065*b2066 + 800*b2066 + 0.1783535*b2066^2 + 0.00684475*b2066*b2067 + 421
    *b2067 + 0.0136895*b2067^2 + 0.1387415*b2067*b2068 + 854*b2068 + 0.2774835*
    b2068^2 + 0.2143055*b2068*b2069 + 1290*b2069 + 0.428611*b2069^2 + 0.236914*
    b2069*b2070 + 548*b2070 + 0.473828*b2070^2 + 0.0717415*b2070*b2071 + 422*
    b2071 + 0.143483*b2071^2 + 0.1098955*b2071*b2072 + 474*b2072 + 0.219791*
    b2072^2 + 0.03756925*b2072*b2073 + 650*b2073 + 0.0751385*b2073^2 + 
    0.1206675*b2073*b2074 + 718*b2074 + 0.2413345*b2074^2 + 0.1206365*b2074*
    b2075 + 598*b2075 + 0.241273*b2075*b2075 + 0.2319095*b2075*b2076 + 552*
    b2076 + 0.4638195*b2076^2 + 0.223036*b2076*b2077 + 474*b2077 + 0.446072*
    b2077^2 + 0.097801*b2077*b2078 + 262*b2078 + 0.1956015*b2078^2 + 0.08297*
    b2078*b2079 + 359*b2079 + 0.1659405*b2079^2 + 0.103272*b2079*b2080 + 523*
    b2080 + 0.2065445*b2080^2 + 0.2251875*b2080*b2081 + 460*b2081 + 0.4503745*
    b2081^2 + 0.123233*b2081*b2082 + 261*b2082 + 0.246466*b2082^2 + 0.171551*
    b2082*b2083 + 790*b2083 + 0.3431015*b2083^2 + 0.0108422*b2083*b2084 + 592*
    b2084 + 0.02168435*b2084^2 + 0.0947885*b2084*b2085 + 218*b2085 + 0.189577*
    b2085^2 + 0.222256*b2085*b2086 + 321*b2086 + 0.4445115*b2086^2 + 0.0515375*
    b2086*b2087 + 396*b2087 + 0.103075*b2087*b2087 + 0.07305*b2087*b2088 + 603*
    b2088 + 0.1461005*b2088^2 + 0.202725*b2088*b2089 + 642*b2089 + 0.4054505*
    b2089^2 + 0.128859*b2089*b2090 + 427*b2090 + 0.257718*b2090^2 + 0.1423685*
    b2090*b2091 + 295*b2091 + 0.284737*b2091^2 + 0.1048705*b2091*b2092 + 427*
    b2092 + 0.209741*b2092^2 + 0.1641335*b2092*b2093 + 1510*b2093 + 0.3282675*
    b2093^2 + 0.1653965*b2093*b2094 + 786*b2094 + 0.330793*b2094^2 + 0.1547165*
    b2094*b2095 + 527*b2095 + 0.309433*b2095^2 + 0.0973415*b2095*b2096 + 336*
    b2096 + 0.1946825*b2096^2 + 0.2300455*b2096*b2097 + 76*b2097 + 0.460091*
    b2097^2 + 0.2418305*b2097*b2098 + 1046*b2098 + 0.483661*b2098^2 + 0.208599*
    b2098*b2099 + 383*b2099 + 0.417198*b2099*b2099 + 0.1330385*b2099*b2100 + 
    298*b2100 + 0.266077*b2100^2 + 0.0800045*b2100*b2101 + 383*b2101 + 
    0.1600095*b2101^2 + 0.0871685*b2101*b2102 + 497*b2102 + 0.174337*b2102^2 + 
    0.060663*b2102*b2103 + 431*b2103 + 0.1213255*b2103^2 + 0.04085825*b2103*
    b2104 + 994*b2104 + 0.0817165*b2104^2 + 0.108662*b2104*b2105 + 511*b2105 + 
    0.2173235*b2105*b2105 + 0.1956505*b2105*b2106 + 704*b2106 + 0.391301*b2106^
    2 + 0.0911615*b2106*b2107 + 542*b2107 + 0.1823235*b2107^2 + 0.2363215*b2107
    *b2108 + 1587*b2108 + 0.4726435*b2108^2 + 0.062122*b2108*b2109 + 423*b2109
     + 0.1242435*b2109^2 + 0.1122275*b2109*b2110 + 1119*b2110 + 0.224455*b2110^
    2 + 0.123824*b2110*b2111 + 552*b2111 + 0.2476485*b2111*b2111 + 0.137327*
    b2111*b2112 + 593*b2112 + 0.274654*b2112^2 + 0.000513185*b2112*b2113 + 787*
    b2113 + 0.001026365*b2113^2 + 0.127397*b2113*b2114 + 221*b2114 + 0.254794*
    b2114^2 + 0.1979675*b2114*b2115 + 630*b2115 + 0.395935*b2115^2 + 0.11529*
    b2115*b2116 + 489*b2116 + 0.2305805*b2116^2 + 0.084425*b2116*b2117 + 785*
    b2117 + 0.1688505*b2117*b2117 + 0.1075675*b2117*b2118 + 472*b2118 + 
    0.215135*b2118^2 + 0.193096*b2118*b2119 + 1131*b2119 + 0.3861925*b2119^2 + 
    0.199151*b2119*b2120 + 786*b2120 + 0.398302*b2120^2 + 0.202359*b2120*b2121
     + 698*b2121 + 0.404718*b2121^2 + 0.189513*b2121*b2122 + 774*b2122 + 
    0.3790255*b2122^2 + 0.223977*b2122*b2123 + 457*b2123 + 0.4479545*b2123*
    b2123 + 0.11716*b2123*b2124 + 278*b2124 + 0.23432*b2124^2 + 0.143948*b2124*
    b2125 + 808*b2125 + 0.2878955*b2125^2 + 0.2261865*b2125*b2126 + 734*b2126
     + 0.4523735*b2126^2 + 0.210995*b2126*b2127 + 399*b2127 + 0.4219905*b2127^2
     + 0.04799225*b2127*b2128 + 432*b2128 + 0.0959845*b2128^2 + 0.00519565*
    b2128*b2129 + 538*b2129 + 0.0103913*b2129^2 + 0.2080885*b2129*b2130 + 514*
    b2130 + 0.416177*b2130^2 + 0.078683*b2130*b2131 + 307*b2131 + 0.157366*
    b2131^2 + 0.2428975*b2131*b2132 + 496*b2132 + 0.4857945*b2132^2 + 0.135664*
    b2132*b2133 + 487*b2133 + 0.2713285*b2133^2 + 0.006594*b2133*b2134 + 638*
    b2134 + 0.01318805*b2134^2 + 0.2166155*b2134*b2135 + 567*b2135 + 0.433231*
    b2135^2 + 0.124584*b2135*b2136 + 414*b2136 + 0.249168*b2136^2 + 0.0249493*
    b2136*b2137 + 600*b2137 + 0.0498986*b2137^2 + 0.1302195*b2137*b2138 + 388*
    b2138 + 0.2604395*b2138^2 + 0.138692*b2138*b2139 + 407*b2139 + 0.2773835*
    b2139^2 + 0.2125275*b2139*b2140 + 241*b2140 + 0.4250545*b2140^2 + 0.242831*
    b2140*b2141 + 807*b2141 + 0.4856625*b2141^2 + 0.2390865*b2141*b2142 + 385*
    b2142 + 0.4781725*b2142^2 + 0.221982*b2142*b2143 + 804*b2143 + 0.4439635*
    b2143^2 + 0.043841*b2143*b2144 + 510*b2144 + 0.087682*b2144^2 + 0.0783445*
    b2144*b2145 + 514*b2145 + 0.156689*b2145^2 + 0.17386*b2145*b2146 + 824*
    b2146 + 0.3477205*b2146*b2146 + 0.1847585*b2146*b2147 + 439*b2147 + 
    0.369517*b2147^2 + 0.2461485*b2147*b2148 + 795*b2148 + 0.492297*b2148^2 + 
    0.176695*b2148*b2149 + 390*b2149 + 0.35339*b2149^2 + 0.1109255*b2149*b2150
     + 290*b2150 + 0.2218505*b2150^2 + 0.04400925*b2150*b2151 + 583*b2151 + 
    0.0880185*b2151^2 + 0.031825*b2151*b2152 + 336*b2152 + 0.06365*b2152*b2152
     + 0.140534*b2152*b2153 + 1220*b2153 + 0.2810685*b2153^2 + 0.052079*b2153*
    b2154 + 475*b2154 + 0.104158*b2154^2 + 0.0974245*b2154*b2155 + 508*b2155 + 
    0.194849*b2155^2 + 0.1824425*b2155*b2156 + 735*b2156 + 0.3648845*b2156^2 + 
    0.071769*b2156*b2157 + 911*b2157 + 0.1435375*b2157^2 + 0.155595*b2157*b2158
     + 720*b2158 + 0.31119*b2158*b2158 + 0.1267405*b2158*b2159 + 407*b2159 + 
    0.253481*b2159^2 + 0.0515125*b2159*b2160 + 431*b2160 + 0.1030245*b2160^2 + 
    0.2374225*b2160*b2161 + 844*b2161 + 0.4748445*b2161^2 + 0.2250455*b2161*
    b2162 + 601*b2162 + 0.4500905*b2162^2 + 0.2156645*b2162*b2163 + 460*b2163
     + 0.4313285*b2163^2 + 0.00085474*b2163*b2164 + 214*b2164 + 0.001709485*
    b2164^2 + 0.059557*b2164*b2165 + 509*b2165 + 0.119114*b2165^2 + 0.2090065*
    b2165*b2166 + 557*b2166 + 0.4180125*b2166^2 + 0.0866675*b2166*b2167 + 562*
    b2167 + 0.173335*b2167^2 + 0.1343025*b2167*b2168 + 427*b2168 + 0.2686055*
    b2168^2 + 0.0356215*b2168*b2169 + 66*b2169 + 0.071243*b2169^2 + 0.0561125*
    b2169*b2170 + 817*b2170 + 0.1122245*b2170*b2170 + 0.02387895*b2170*b2171 + 
    309*b2171 + 0.0477579*b2171^2 + 0.1052985*b2171*b2172 + 610*b2172 + 
    0.210597*b2172^2 + 0.050735*b2172*b2173 + 778*b2173 + 0.1014695*b2173^2 + 
    0.060211*b2173*b2174 + 440*b2174 + 0.1204215*b2174^2 + 0.0361575*b2174*
    b2175 + 650*b2175 + 0.072315*b2175^2 + 0.2426675*b2175*b2176 + 299*b2176 + 
    0.485335*b2176*b2176 + 0.161089*b2176*b2177 + 445*b2177 + 0.3221785*b2177^2
     + 0.0410965*b2177*b2178 + 515*b2178 + 0.082193*b2178^2 + 0.1862555*b2178*
    b2179 + 133*b2179 + 0.372511*b2179^2 + 0.1240425*b2179*b2180 + 357*b2180 + 
    0.2480845*b2180^2 + 0.172723*b2180*b2181 + 463*b2181 + 0.3454465*b2181^2 + 
    0.135503*b2181*b2182 + 664*b2182 + 0.271006*b2182*b2182 + 0.096173*b2182*
    b2183 + 555*b2183 + 0.1923455*b2183^2 + 0.1206375*b2183*b2184 + 594*b2184
     + 0.241275*b2184^2 + 0.159209*b2184*b2185 + 658*b2185 + 0.3184185*b2185^2
     + 0.1713965*b2185*b2186 + 426*b2186 + 0.342793*b2186^2 + 0.0163145*b2186*
    b2187 + 376*b2187 + 0.03262905*b2187^2 + 0.154265*b2187*b2188 + 72*b2188 + 
    0.3085295*b2188*b2188 + 0.2418865*b2188*b2189 + 359*b2189 + 0.483773*b2189^
    2 + 0.0911575*b2189*b2190 + 698*b2190 + 0.1823155*b2190^2 + 0.1069915*b2190
    *b2191 + 382*b2191 + 0.213983*b2191^2 + 0.04827725*b2191*b2192 + 527*b2192
     + 0.0965545*b2192^2 + 0.01558845*b2192*b2193 + 518*b2193 + 0.0311769*b2193
    ^2 + 0.01158795*b2193*b2194 + 285*b2194 + 0.0231759*b2194^2 + 0.2118635*
    b2194*b2195 + 441*b2195 + 0.4237265*b2195^2 + 0.069612*b2195*b2196 + 403*
    b2196 + 0.1392235*b2196^2 + 0.0855485*b2196*b2197 + 503*b2197 + 0.1710965*
    b2197^2 + 0.158748*b2197*b2198 + 585*b2198 + 0.317496*b2198^2 + 0.061589*
    b2198*b2199 + 576*b2199 + 0.123178*b2199^2 + 0.1640695*b2199*b2200 + 553*
    b2200 + 0.3281395*b2200^2 + 0.074658*b2200*b2201 + 578*b2201 + 0.1493165*
    b2201^2 + 0.1866095*b2201*b2202 + 183*b2202 + 0.373219*b2202^2 + 0.1382965*
    b2202*b2203 + 386*b2203 + 0.276593*b2203^2 + 0.097908*b2203*b2204 + 475*
    b2204 + 0.195816*b2204^2 + 0.04625525*b2204*b2205 + 681*b2205 + 0.0925105*
    b2205^2 + 0.0214319*b2205*b2206 + 478*b2206 + 0.0428638*b2206^2 + 0.1753465
    *b2206*b2207 + 403*b2207 + 0.350693*b2207^2 + 0.196305*b2207*b2208 + 564*
    b2208 + 0.3926105*b2208^2 + 0.231758*b2208*b2209 + 392*b2209 + 0.4635155*
    b2209^2 + 0.2035065*b2209*b2210 + 269*b2210 + 0.4070135*b2210^2 + 
    0.04953275*b2210*b2211 + 420*b2211 + 0.0990655*b2211^2 + 0.0510685*b2211*
    b2212 + 502*b2212 + 0.1021365*b2212^2 + 0.051262*b2212*b2213 + 845*b2213 + 
    0.1025235*b2213^2 + 0.02803325*b2213*b2214 + 614*b2214 + 0.0560665*b2214^2
     + 0.1395145*b2214*b2215 + 903*b2215 + 0.2790285*b2215^2 + 0.0779205*b2215*
    b2216 + 932*b2216 + 0.155841*b2216^2 + 0.1617245*b2216*b2217 + 531*b2217 + 
    0.3234485*b2217*b2217 + 0.1987335*b2217*b2218 + 649*b2218 + 0.397467*b2218^
    2 + 0.0306145*b2218*b2219 + 976*b2219 + 0.061229*b2219^2 + 0.024886*b2219*
    b2220 + 444*b2220 + 0.04977195*b2220^2 + 0.162597*b2220*b2221 + 619*b2221
     + 0.3251935*b2221^2 + 0.2318265*b2221*b2222 + 467*b2222 + 0.463653*b2222^2
     + 0.00320595*b2222*b2223 + 780*b2223 + 0.0064119*b2223^2 + 0.1880285*b2223
    *b2224 + 403*b2224 + 0.3760565*b2224^2 + 0.138508*b2224*b2225 + 510*b2225
     + 0.2770155*b2225^2 + 0.1304465*b2225*b2226 + 360*b2226 + 0.260893*b2226^2
     + 0.17727*b2226*b2227 + 517*b2227 + 0.3545405*b2227^2 + 0.1235175*b2227*
    b2228 + 277*b2228 + 0.247035*b2228^2 + 0.1886645*b2228*b2229 + 763*b2229 + 
    0.3773295*b2229*b2229 + 0.0348035*b2229*b2230 + 586*b2230 + 0.069607*b2230^
    2 + 0.02246075*b2230*b2231 + 768*b2231 + 0.04492145*b2231^2 + 0.1813085*
    b2231*b2232 + 414*b2232 + 0.3626165*b2232^2 + 0.228167*b2232*b2233 + 561*
    b2233 + 0.4563345*b2233^2 + 0.167224*b2233*b2234 + 418*b2234 + 0.3344485*
    b2234^2 + 0.0809835*b2234*b2235 + 562*b2235 + 0.161967*b2235*b2235 + 
    0.169969*b2235*b2236 + 263*b2236 + 0.3399385*b2236^2 + 0.01400015*b2236*
    b2237 + 232*b2237 + 0.0280003*b2237^2 + 0.1788885*b2237*b2238 + 550*b2238
     + 0.357777*b2238^2 + 0.01322085*b2238*b2239 + 925*b2239 + 0.02644165*b2239
    ^2 + 0.04667125*b2239*b2240 + 437*b2240 + 0.0933425*b2240^2 + 0.00179915*
    b2240*b2241 + 361*b2241 + 0.0035983*b2241^2 + 0.182066*b2241*b2242 + 851*
    b2242 + 0.364132*b2242^2 + 0.2248215*b2242*b2243 + 689*b2243 + 0.449643*
    b2243^2 + 0.0972655*b2243*b2244 + 521*b2244 + 0.194531*b2244^2 + 0.074263*
    b2244*b2245 + 685*b2245 + 0.148526*b2245^2 + 0.1255585*b2245*b2246 + 1049*
    b2246 + 0.251117*b2246^2 + 0.0836465*b2246*b2247 + 587*b2247 + 0.167293*
    b2247*b2247 + 0.196161*b2247*b2248 + 450*b2248 + 0.392322*b2248^2 + 0.05962
    *b2248*b2249 + 575*b2249 + 0.1192405*b2249^2 + 0.2351305*b2249*b2250 + 1274
    *b2250 + 0.4702615*b2250^2 + 0.134193*b2250*b2251 + 705*b2251 + 0.268386*
    b2251^2 + 0.1755495*b2251*b2252 + 875*b2252 + 0.351099*b2252*b2252 + 
    0.0649405*b2252*b2253 + 420*b2253 + 0.1298805*b2253^2 + 0.0210395*b2253*
    b2254 + 299*b2254 + 0.04207905*b2254^2 + 0.165285*b2254*b2255 + 517*b2255
     + 0.33057*b2255^2 + 0.02260485*b2255*b2256 + 250*b2256 + 0.04520975*b2256^
    2 + 0.1812495*b2256*b2257 + 537*b2257 + 0.362499*b2257^2 + 0.1547825*b2257*
    b2258 + 430*b2258 + 0.309565*b2258*b2258 + 0.101812*b2258*b2259 + 1067*
    b2259 + 0.2036235*b2259^2 + 0.065255*b2259*b2260 + 492*b2260 + 0.1305095*
    b2260^2 + 0.183686*b2260*b2261 + 737*b2261 + 0.3673715*b2261^2 + 0.1453385*
    b2261*b2262 + 575*b2262 + 0.2906775*b2262^2 + 0.10505*b2262*b2263 + 240*
    b2263 + 0.2101*b2263^2 + 0.166303*b2263*b2264 + 403*b2264 + 0.332606*b2264^
    2 + 0.1234655*b2264*b2265 + 257*b2265 + 0.246931*b2265^2 + 0.222448*b2265*
    b2266 + 391*b2266 + 0.4448965*b2266^2 + 0.1618065*b2266*b2267 + 805*b2267
     + 0.3236135*b2267^2 + 0.02158725*b2267*b2268 + 693*b2268 + 0.0431745*b2268
    ^2 + 0.1439515*b2268*b2269 + 1097*b2269 + 0.2879035*b2269^2 + 0.1523025*
    b2269*b2270 + 265*b2270 + 0.3046045*b2270^2 + 0.1821925*b2270*b2271 + 692*
    b2271 + 0.364385*b2271^2 + 0.025133*b2271*b2272 + 629*b2272 + 0.050266*
    b2272^2 + 0.0545815*b2272*b2273 + 923*b2273 + 0.1091635*b2273^2 + 0.208656*
    b2273*b2274 + 209*b2274 + 0.417312*b2274^2 + 0.2355055*b2274*b2275 + 721*
    b2275 + 0.471011*b2275*b2275 + 0.04746825*b2275*b2276 + 433*b2276 + 
    0.0949365*b2276^2 + 0.03720625*b2276*b2277 + 987*b2277 + 0.0744125*b2277^2
     + 0.076796*b2277*b2278 + 1042*b2278 + 0.153592*b2278^2 + 0.110626*b2278*
    b2279 + 685*b2279 + 0.221252*b2279^2 + 0.1868095*b2279*b2280 + 541*b2280 + 
    0.3736185*b2280^2 + 0.090881*b2280*b2281 + 198*b2281 + 0.1817625*b2281*
    b2281 + 0.230473*b2281*b2282 + 419*b2282 + 0.460946*b2282^2 + 0.1653305*
    b2282*b2283 + 679*b2283 + 0.3306615*b2283^2 + 0.0410565*b2283*b2284 + 1016*
    b2284 + 0.082113*b2284^2 + 0.193699*b2284*b2285 + 67*b2285 + 0.3873975*
    b2285^2 + 0.2114645*b2285*b2286 + 1168*b2286 + 0.422929*b2286^2 + 
    0.00077219*b2286*b2287 + 592*b2287 + 0.00154438*b2287^2 + 0.239289*b2287*
    b2288 + 607*b2288 + 0.478578*b2288^2 + 0.184239*b2288*b2289 + 687*b2289 + 
    0.3684785*b2289^2 + 0.106854*b2289*b2290 + 621*b2290 + 0.213708*b2290^2 + 
    0.2107455*b2290*b2291 + 414*b2291 + 0.421491*b2291^2 + 0.088383*b2291*b2292
     + 749*b2292 + 0.176766*b2292^2 + 0.0281075*b2292*b2293 + 467*b2293 + 
    0.056215*b2293^2 + 0.100177*b2293*b2294 + 65*b2294 + 0.200354*b2294^2 + 
    0.1888995*b2294*b2295 + 839*b2295 + 0.377799*b2295^2 + 0.0264315*b2295*
    b2296 + 570*b2296 + 0.052863*b2296^2 + 0.03800275*b2296*b2297 + 725*b2297
     + 0.0760055*b2297^2 + 0.159188*b2297*b2298 + 903*b2298 + 0.318376*b2298*
    b2298 + 0.0896105*b2298*b2299 + 1012*b2299 + 0.1792205*b2299^2 + 0.2130635*
    b2299*b2300 + 583*b2300 + 0.4261265*b2300^2 + 0.1022155*b2300*b2301 + 442*
    b2301 + 0.2044315*b2301^2 + 0.142045*b2301*b2302 + 414*b2302 + 0.28409*
    b2302^2 + 0.209716*b2302*b2303 + 664*b2303 + 0.4194315*b2303^2 + 0.1311605*
    b2303*b2304 + 742*b2304 + 0.2623205*b2304^2 + 0.1125255*b2304*b2305 + 379*
    b2305 + 0.2250515*b2305^2 + 0.1785265*b2305*b2306 + 431*b2306 + 0.357053*
    b2306^2 + 0.0356335*b2306*b2307 + 764*b2307 + 0.071267*b2307^2 + 0.1178195*
    b2307*b2308 + 444*b2308 + 0.2356385*b2308^2 + 0.0140157*b2308*b2309 + 213*
    b2309 + 0.02803145*b2309^2 + 0.1887475*b2309*b2310 + 552*b2310 + 0.3774955*
    b2310^2 + 0.1924055*b2310*b2311 + 449*b2311 + 0.384811*b2311^2 + 0.064881*
    b2311*b2312 + 955*b2312 + 0.129762*b2312^2 + 0.104658*b2312*b2313 + 783*
    b2313 + 0.2093165*b2313^2 + 0.0161863*b2313*b2314 + 772*b2314 + 0.0323726*
    b2314^2 + 0.244959*b2314*b2315 + 556*b2315 + 0.4899175*b2315^2 + 0.0425305*
    b2315*b2316 + 573*b2316 + 0.085061*b2316*b2316 + 0.137883*b2316*b2317 + 981
    *b2317 + 0.275766*b2317^2 + 0.2171115*b2317*b2318 + 401*b2318 + 0.434223*
    b2318^2 + 0.223478*b2318*b2319 + 1298*b2319 + 0.4469555*b2319^2 + 0.173394*
    b2319*b2320 + 406*b2320 + 0.3467885*b2320^2 + 0.0662265*b2320*b2321 + 582*
    b2321 + 0.132453*b2321^2 + 0.2193915*b2321*b2322 + 498*b2322 + 0.438783*
    b2322*b2322 + 0.155935*b2322*b2323 + 536*b2323 + 0.31187*b2323^2 + 0.126192
    *b2323*b2324 + 518*b2324 + 0.252384*b2324^2 + 0.0769105*b2324*b2325 + 701*
    b2325 + 0.1538215*b2325^2 + 0.1438175*b2325*b2326 + 386*b2326 + 0.2876355*
    b2326^2 + 0.196937*b2326*b2327 + 368*b2327 + 0.393874*b2327*b2327 + 
    0.065784*b2327*b2328 + 327*b2328 + 0.1315675*b2328^2 + 0.0473805*b2328*
    b2329 + 481*b2329 + 0.094761*b2329^2 + 0.0680635*b2329*b2330 + 569*b2330 + 
    0.136127*b2330^2 + 0.026005*b2330*b2331 + 383*b2331 + 0.05201*b2331^2 + 
    0.125714*b2331*b2332 + 547*b2332 + 0.2514285*b2332^2 + 0.1121085*b2332*
    b2333 + 820*b2333 + 0.224217*b2333^2 + 0.1995205*b2333*b2334 + 603*b2334 + 
    0.399041*b2334^2 + 0.176885*b2334*b2335 + 862*b2335 + 0.3537695*b2335^2 + 
    0.239694*b2335*b2336 + 445*b2336 + 0.4793875*b2336^2 + 0.03595575*b2336*
    b2337 + 579*b2337 + 0.0719115*b2337^2 + 0.00995455*b2337*b2338 + 452*b2338
     + 0.0199091*b2338^2 + 0.087401*b2338*b2339 + 245*b2339 + 0.174802*b2339^2
     + 0.195762*b2339*b2340 + 626*b2340 + 0.391524*b2340^2 + 0.125596*b2340*
    b2341 + 544*b2341 + 0.2511915*b2341^2 + 0.2332985*b2341*b2342 + 892*b2342
     + 0.4665965*b2342^2 + 0.1566605*b2342*b2343 + 1008*b2343 + 0.3133215*b2343
    ^2 + 0.01837715*b2343*b2344 + 199*b2344 + 0.0367543*b2344^2 + 0.0219262*
    b2344*b2345 + 639*b2345 + 0.0438524*b2345^2 + 0.1510015*b2345*b2346 + 818*
    b2346 + 0.3020025*b2346^2 + 0.2161655*b2346*b2347 + 461*b2347 + 0.432331*
    b2347^2 + 0.1431715*b2347*b2348 + 654*b2348 + 0.286343*b2348^2 + 0.0081219*
    b2348*b2349 + 577*b2349 + 0.0162438*b2349^2 + 0.0675995*b2349*b2350 + 1126*
    b2350 + 0.135199*b2350^2 + 0.165482*b2350*b2351 + 427*b2351 + 0.3309635*
    b2351^2 + 0.129816*b2351*b2352 + 579*b2352 + 0.2596325*b2352^2 + 0.150342*
    b2352*b2353 + 611*b2353 + 0.300684*b2353^2 + 0.217868*b2353*b2354 + 554*
    b2354 + 0.435736*b2354^2 + 0.0583495*b2354*b2355 + 395*b2355 + 0.116699*
    b2355^2 + 0.2251315*b2355*b2356 + 587*b2356 + 0.4502625*b2356*b2356 + 
    0.068402*b2356*b2357 + 217*b2357 + 0.1368045*b2357^2 + 0.0882825*b2357*
    b2358 + 976*b2358 + 0.1765645*b2358^2 + 0.106786*b2358*b2359 + 1062*b2359
     + 0.213572*b2359^2 + 0.053543*b2359*b2360 + 109*b2360 + 0.107086*b2360^2
     + 0.2238255*b2360*b2361 + 573*b2361 + 0.4476505*b2361^2 + 0.214098*b2361*
    b2362 + 1023*b2362 + 0.4281965*b2362^2 + 0.208863*b2362*b2363 + 648*b2363
     + 0.417726*b2363^2 + 0.0866065*b2363*b2364 + 419*b2364 + 0.1732135*b2364^2
     + 0.091146*b2364*b2365 + 652*b2365 + 0.1822925*b2365^2 + 0.18777*b2365*
    b2366 + 833*b2366 + 0.3755405*b2366^2 + 0.1487375*b2366*b2367 + 901*b2367
     + 0.297475*b2367^2 + 0.1404265*b2367*b2368 + 924*b2368 + 0.2808535*b2368*
    b2368 + 0.2427035*b2368*b2369 + 896*b2369 + 0.485407*b2369^2 + 0.1053455*
    b2369*b2370 + 507*b2370 + 0.2106905*b2370^2 + 0.0503445*b2370*b2371 + 667*
    b2371 + 0.1006885*b2371^2 + 0.077329*b2371*b2372 + 258*b2372 + 0.1546575*
    b2372^2 + 0.121695*b2372*b2373 + 1343*b2373 + 0.2433895*b2373^2 + 0.0135247
    *b2373*b2374 + 564*b2374 + 0.02704945*b2374^2 + 0.1968785*b2374*b2375 + 550
    *b2375 + 0.3937575*b2375^2 + 0.2446995*b2375*b2376 + 456*b2376 + 0.489399*
    b2376^2 + 0.0978425*b2376*b2377 + 1011*b2377 + 0.195685*b2377^2 + 0.183018*
    b2377*b2378 + 232*b2378 + 0.366036*b2378^2 + 0.1664315*b2378*b2379 + 523*
    b2379 + 0.3328625*b2379^2 + 0.0094175*b2379*b2380 + 650*b2380 + 0.018835*
    b2380*b2380 + 0.1799275*b2380*b2381 + 391*b2381 + 0.3598555*b2381^2 + 
    0.0850455*b2381*b2382 + 487*b2382 + 0.170091*b2382^2 + 0.0898745*b2382*
    b2383 + 421*b2383 + 0.179749*b2383^2 + 0.04571425*b2383*b2384 + 332*b2384
     + 0.0914285*b2384^2 + 0.1233355*b2384*b2385 + 535*b2385 + 0.246671*b2385^2
     + 0.150798*b2385*b2386 + 390*b2386 + 0.3015955*b2386*b2386 + 0.074085*
    b2386*b2387 + 760*b2387 + 0.14817*b2387^2 + 0.2093565*b2387*b2388 + 600*
    b2388 + 0.418713*b2388^2 + 0.143043*b2388*b2389 + 532*b2389 + 0.286086*
    b2389^2 + 0.177418*b2389*b2390 + 613*b2390 + 0.354836*b2390^2 + 0.2428145*
    b2390*b2391 + 440*b2391 + 0.485629*b2391*b2391 + 0.166922*b2391*b2392 + 455
    *b2392 + 0.3338435*b2392^2 + 0.183478*b2392*b2393 + 555*b2393 + 0.366956*
    b2393^2 + 0.1941575*b2393*b2394 + 995*b2394 + 0.388315*b2394^2 + 0.09214*
    b2394*b2395 + 877*b2395 + 0.18428*b2395^2 + 0.169079*b2395*b2396 + 445*
    b2396 + 0.3381585*b2396^2 + 0.06333*b2396*b2397 + 815*b2397 + 0.12666*b2397
    ^2 + 0.14025*b2397*b2398 + 644*b2398 + 0.2804995*b2398^2 + 0.117644*b2398*
    b2399 + 1109*b2399 + 0.2352875*b2399^2 + 0.059132*b2399*b2400 + 430*b2400
     + 0.1182645*b2400^2 + 0.132186*b2400*b2401 + 472*b2401 + 0.264372*b2401^2
     + 0.1724635*b2401*b2402 + 1118*b2402 + 0.344927*b2402*b2402 + 0.233406*
    b2402*b2403 + 466*b2403 + 0.466812*b2403^2 + 0.1406515*b2403*b2404 + 536*
    b2404 + 0.2813025*b2404^2 + 0.1224235*b2404*b2405 + 515*b2405 + 0.244847*
    b2405^2 + 0.03938575*b2405*b2406 + 194*b2406 + 0.0787715*b2406^2 + 0.053985
    *b2406*b2407 + 774*b2407 + 0.10797*b2407^2 + 0.0972915*b2407*b2408 + 427*
    b2408 + 0.1945835*b2408*b2408 + 0.0325305*b2408*b2409 + 501*b2409 + 
    0.065061*b2409^2 + 0.243053*b2409*b2410 + 576*b2410 + 0.4861065*b2410^2 + 
    0.054451*b2410*b2411 + 705*b2411 + 0.1089025*b2411^2 + 0.073088*b2411*b2412
     + 456*b2412 + 0.1461765*b2412^2 + 0.2215615*b2412*b2413 + 590*b2413 + 
    0.443123*b2413^2 + 0.0505715*b2413*b2414 + 517*b2414 + 0.1011435*b2414*
    b2414 + 0.0578765*b2414*b2415 + 408*b2415 + 0.1157535*b2415^2 + 0.111655*
    b2415*b2416 + 240*b2416 + 0.2233105*b2416^2 + 0.0141264*b2416*b2417 + 600*
    b2417 + 0.0282528*b2417^2 + 0.1706875*b2417*b2418 + 493*b2418 + 0.3413755*
    b2418^2 + 0.00807815*b2418*b2419 + 567*b2419 + 0.01615625*b2419^2 + 
    0.0760535*b2419*b2420 + 749*b2420 + 0.1521065*b2420^2 + 0.0964075*b2420*
    b2421 + 727*b2421 + 0.192815*b2421^2 + 0.2053995*b2421*b2422 + 403*b2422 + 
    0.4107985*b2422^2 + 0.240273*b2422*b2423 + 610*b2423 + 0.480546*b2423^2 + 
    0.186234*b2423*b2424 + 539*b2424 + 0.372468*b2424^2 + 0.0150789*b2424*b2425
     + 1036*b2425 + 0.0301578*b2425^2 + 0.188297*b2425*b2426 + 469*b2426 + 
    0.3765935*b2426*b2426 + 0.231746*b2426*b2427 + 607*b2427 + 0.4634915*b2427^
    2 + 0.1462615*b2427*b2428 + 218*b2428 + 0.2925225*b2428^2 + 0.0556425*b2428
    *b2429 + 588*b2429 + 0.111285*b2429^2 + 0.187719*b2429*b2430 + 1038*b2430
     + 0.375438*b2430^2 + 0.0099364*b2430*b2431 + 186*b2431 + 0.0198728*b2431^2
     + 0.196281*b2431*b2432 + 414*b2432 + 0.3925625*b2432*b2432 + 0.0931405*
    b2432*b2433 + 643*b2433 + 0.1862815*b2433^2 + 0.1288*b2433*b2434 + 539*
    b2434 + 0.2576*b2434^2 + 0.183289*b2434*b2435 + 732*b2435 + 0.366578*b2435^
    2 + 0.061025*b2435*b2436 + 590*b2436 + 0.12205*b2436^2 + 0.2074755*b2436*
    b2437 + 329*b2437 + 0.4149515*b2437*b2437 + 0.228334*b2437*b2438 + 553*
    b2438 + 0.4566685*b2438^2 + 0.0177105*b2438*b2439 + 450*b2439 + 0.035421*
    b2439^2 + 0.091914*b2439*b2440 + 396*b2440 + 0.1838275*b2440^2 + 
    0.001984215*b2440*b2441 + 1045*b2441 + 0.003968425*b2441^2 + 0.02276975*
    b2441*b2442 + 627*b2442 + 0.0455395*b2442^2 + 0.248795*b2442*b2443 + 787*
    b2443 + 0.4975905*b2443*b2443 + 0.2273035*b2443*b2444 + 640*b2444 + 
    0.4546065*b2444^2 + 0.02243725*b2444*b2445 + 426*b2445 + 0.04487455*b2445^2
     + 0.1255485*b2445*b2446 + 736*b2446 + 0.251097*b2446^2 + 0.240554*b2446*
    b2447 + 368*b2447 + 0.4811085*b2447^2 + 0.218191*b2447*b2448 + 426*b2448 + 
    0.436382*b2448^2 + 0.1129605*b2448*b2449 + 650*b2449 + 0.225921*b2449*b2449
     + 0.0596385*b2449*b2450 + 251*b2450 + 0.1192775*b2450^2 + 0.0524705*b2450*
    b2451 + 644*b2451 + 0.104941*b2451^2 + 0.0087605*b2451*b2452 + 364*b2452 + 
    0.01752105*b2452^2 + 0.218398*b2452*b2453 + 1069*b2453 + 0.4367965*b2453^2
     + 0.1833315*b2453*b2454 + 879*b2454 + 0.366663*b2454^2 + 0.120317*b2454*
    b2455 + 869*b2455 + 0.2406335*b2455*b2455 + 0.09572*b2455*b2456 + 618*b2456
     + 0.1914395*b2456^2 + 0.124492*b2456*b2457 + 458*b2457 + 0.248984*b2457^2
     + 0.087311*b2457*b2458 + 594*b2458 + 0.1746215*b2458^2 + 0.0979355*b2458*
    b2459 + 224*b2459 + 0.195871*b2459^2 + 0.1490635*b2459*b2460 + 434*b2460 + 
    0.2981265*b2460*b2460 + 0.1380635*b2460*b2461 + 651*b2461 + 0.276127*b2461^
    2 + 0.04111525*b2461*b2462 + 37*b2462 + 0.0822305*b2462^2 + 0.02570525*
    b2462*b2463 + 383*b2463 + 0.0514105*b2463^2 + 0.1324075*b2463*b2464 + 814*
    b2464 + 0.2648155*b2464^2 + 0.228193*b2464*b2465 + 386*b2465 + 0.4563865*
    b2465^2 + 0.0487145*b2465*b2466 + 260*b2466 + 0.097429*b2466*b2466 + 
    0.03064025*b2466*b2467 + 584*b2467 + 0.0612805*b2467^2 + 0.0244003*b2467*
    b2468 + 707*b2468 + 0.0488006*b2468^2 + 0.1339035*b2468*b2469 + 791*b2469
     + 0.267807*b2469^2 + 0.1820575*b2469*b2470 + 333*b2470 + 0.3641155*b2470^2
     + 0.1621015*b2470*b2471 + 633*b2471 + 0.324203*b2471^2 + 0.240288*b2471*
    b2472 + 860*b2472 + 0.480576*b2472*b2472 + 0.01686775*b2472*b2473 + 440*
    b2473 + 0.03373545*b2473^2 + 0.067181*b2473*b2474 + 453*b2474 + 0.134362*
    b2474^2 + 0.088485*b2474*b2475 + 449*b2475 + 0.17697*b2475^2 + 0.126129*
    b2475*b2476 + 527*b2476 + 0.252258*b2476^2 + 0.2041445*b2476*b2477 + 426*
    b2477 + 0.408289*b2477^2 + 0.02452125*b2477*b2478 + 1305*b2478 + 0.0490425*
    b2478^2 + 0.0920865*b2478*b2479 + 312*b2479 + 0.1841735*b2479^2 + 0.120071*
    b2479*b2480 + 521*b2480 + 0.2401415*b2480^2 + 0.139218*b2480*b2481 + 855*
    b2481 + 0.2784365*b2481^2 + 0.0438285*b2481*b2482 + 164*b2482 + 0.087657*
    b2482^2 + 0.1460305*b2482*b2483 + 264*b2483 + 0.2920605*b2483*b2483 + 
    0.04091375*b2483*b2484 + 746*b2484 + 0.0818275*b2484^2 + 0.1341525*b2484*
    b2485 + 595*b2485 + 0.2683045*b2485^2 + 0.0948855*b2485*b2486 + 210*b2486
     + 0.1897705*b2486^2 + 0.126855*b2486*b2487 + 1116*b2487 + 0.25371*b2487^2
     + 0.0607945*b2487*b2488 + 442*b2488 + 0.1215885*b2488^2 + 0.192267*b2488*
    b2489 + 315*b2489 + 0.384534*b2489*b2489 + 0.151938*b2489*b2490 + 277*b2490
     + 0.303876*b2490^2 + 0.1904645*b2490*b2491 + 437*b2491 + 0.380929*b2491^2
     + 0.120658*b2491*b2492 + 879*b2492 + 0.2413165*b2492^2 + 0.14955*b2492*
    b2493 + 359*b2493 + 0.2991005*b2493^2 + 0.1529765*b2493*b2494 + 532*b2494
     + 0.305953*b2494^2 + 0.1859365*b2494*b2495 + 471*b2495 + 0.371873*b2495*
    b2495 + 0.04757875*b2495*b2496 + 988*b2496 + 0.0951575*b2496^2 + 0.082111*
    b2496*b2497 + 439*b2497 + 0.1642225*b2497^2 + 0.1783685*b2497*b2498 + 630*
    b2498 + 0.3567375*b2498^2 + 0.20753*b2498*b2499 + 749*b2499 + 0.41506*b2499
    ^2 + 0.189678*b2499*b2500 + 1125*b2500 + 0.379356*b2500^2 + 0.2442825*b2500
    *b2501 + 554*b2501 + 0.488565*b2501^2 + 0.161366*b2501*b2502 + 337*b2502 + 
    0.3227315*b2502^2 + 0.090363*b2502*b2503 + 962*b2503 + 0.1807255*b2503^2 + 
    0.223035*b2503*b2504 + 409*b2504 + 0.44607*b2504^2 + 0.1990105*b2504*b2505
     + 923*b2505 + 0.398021*b2505^2 + 0.050489*b2505*b2506 + 543*b2506 + 
    0.100978*b2506^2 + 0.075361*b2506*b2507 + 596*b2507 + 0.150722*b2507^2 + 
    0.0434365*b2507*b2508 + 791*b2508 + 0.086873*b2508^2 + 0.232155*b2508*b2509
     + 787*b2509 + 0.46431*b2509^2 + 0.1962685*b2509*b2510 + 246*b2510 + 
    0.3925375*b2510^2 + 0.1203265*b2510*b2511 + 311*b2511 + 0.240653*b2511*
    b2511 + 0.0259445*b2511*b2512 + 488*b2512 + 0.051889*b2512^2 + 0.062413*
    b2512*b2513 + 1356*b2513 + 0.124826*b2513^2 + 0.04840175*b2513*b2514 + 594*
    b2514 + 0.0968035*b2514^2 + 0.1989135*b2514*b2515 + 819*b2515 + 0.3978265*
    b2515^2 + 0.00908995*b2515*b2516 + 545*b2516 + 0.01817985*b2516^2 + 
    0.1385415*b2516*b2517 + 685*b2517 + 0.277083*b2517^2 + 0.163232*b2517*b2518
     + 487*b2518 + 0.3264635*b2518^2 + 0.0862775*b2518*b2519 + 670*b2519 + 
    0.172555*b2519^2 + 0.2261095*b2519*b2520 + 762*b2520 + 0.452219*b2520^2 + 
    0.063742*b2520*b2521 + 408*b2521 + 0.127484*b2521^2 + 0.0879695*b2521*b2522
     + 478*b2522 + 0.175939*b2522^2 + 0.1979855*b2522*b2523 + 409*b2523 + 
    0.395971*b2523*b2523 + 0.2139725*b2523*b2524 + 660*b2524 + 0.427945*b2524^2
     + 0.157761*b2524*b2525 + 241*b2525 + 0.3155215*b2525^2 + 0.103041*b2525*
    b2526 + 1052*b2526 + 0.2060815*b2526^2 + 0.2274625*b2526*b2527 + 388*b2527
     + 0.4549255*b2527^2 + 0.121123*b2527*b2528 + 594*b2528 + 0.242246*b2528^2
     + 0.2416105*b2528*b2529 + 319*b2529 + 0.483221*b2529*b2529 + 0.003800425*
    b2529*b2530 + 781*b2530 + 0.00760085*b2530^2 + 0.0875065*b2530*b2531 + 437*
    b2531 + 0.175013*b2531^2 + 0.1496725*b2531*b2532 + 677*b2532 + 0.299345*
    b2532^2 + 0.2137295*b2532*b2533 + 587*b2533 + 0.427459*b2533^2 + 0.0078839*
    b2533*b2534 + 223*b2534 + 0.01576775*b2534^2 + 0.1501895*b2534*b2535 + 803*
    b2535 + 0.300379*b2535^2 + 0.095996*b2535*b2536 + 500*b2536 + 0.1919915*
    b2536^2 + 0.1480625*b2536*b2537 + 613*b2537 + 0.296125*b2537^2 + 0.1402345*
    b2537*b2538 + 390*b2538 + 0.2804685*b2538^2 + 0.148321*b2538*b2539 + 497*
    b2539 + 0.296642*b2539^2 + 0.021726*b2539*b2540 + 573*b2540 + 0.04345195*
    b2540^2 + 0.0665185*b2540*b2541 + 198*b2541 + 0.133037*b2541^2 + 0.247858*
    b2541*b2542 + 69*b2542 + 0.495716*b2542^2 + 0.159422*b2542*b2543 + 397*
    b2543 + 0.3188445*b2543^2 + 0.1379295*b2543*b2544 + 798*b2544 + 0.2758585*
    b2544^2 + 0.11864*b2544*b2545 + 424*b2545 + 0.23728*b2545^2 + 0.0649755*
    b2545*b2546 + 722*b2546 + 0.1299515*b2546^2 + 0.03913075*b2546*b2547 + 371*
    b2547 + 0.0782615*b2547^2 + 0.0252*b2547*b2548 + 424*b2548 + 0.0504*b2548^2
     + 0.240152*b2548*b2549 + 667*b2549 + 0.480304*b2549^2 + 0.1997405*b2549*
    b2550 + 474*b2550 + 0.3994805*b2550^2 + 0.168809*b2550*b2551 + 427*b2551 + 
    0.337618*b2551^2 + 0.0809495*b2551*b2552 + 535*b2552 + 0.1618985*b2552^2 + 
    0.213633*b2552*b2553 + 77*b2553 + 0.4272665*b2553*b2553 + 0.247954*b2553*
    b2554 + 590*b2554 + 0.4959075*b2554^2 + 0.1894645*b2554*b2555 + 530*b2555
     + 0.3789285*b2555^2 + 0.03501375*b2555*b2556 + 374*b2556 + 0.0700275*b2556
    ^2 + 0.0150925*b2556*b2557 + 254*b2557 + 0.030185*b2557^2 + 0.199818*b2557*
    b2558 + 759*b2558 + 0.399636*b2558^2 + 0.0638195*b2558*b2559 + 656*b2559 + 
    0.127639*b2559*b2559 + 0.123718*b2559*b2560 + 716*b2560 + 0.247436*b2560^2
     + 0.1578585*b2560*b2561 + 229*b2561 + 0.3157175*b2561^2 + 0.136083*b2561*
    b2562 + 1150*b2562 + 0.272166*b2562^2 + 0.24029*b2562*b2563 + 937*b2563 + 
    0.48058*b2563^2 + 0.0998615*b2563*b2564 + 631*b2564 + 0.1997235*b2564^2 + 
    0.130257*b2564*b2565 + 483*b2565 + 0.2605135*b2565*b2565 + 0.060386*b2565*
    b2566 + 824*b2566 + 0.1207715*b2566^2 + 0.2005125*b2566*b2567 + 464*b2567
     + 0.4010245*b2567^2 + 0.153933*b2567*b2568 + 117*b2568 + 0.307866*b2568^2
     + 0.0388995*b2568*b2569 + 1114*b2569 + 0.077799*b2569^2 + 0.15871*b2569*
    b2570 + 377*b2570 + 0.3174205*b2570^2 + 0.176803*b2570*b2571 + 510*b2571 + 
    0.3536065*b2571^2 + 0.135896*b2571*b2572 + 623*b2572 + 0.271792*b2572^2 + 
    0.183661*b2572*b2573 + 763*b2573 + 0.3673215*b2573^2 + 0.229885*b2573*b2574
     + 485*b2574 + 0.45977*b2574^2 + 0.04255175*b2574*b2575 + 606*b2575 + 
    0.0851035*b2575^2 + 0.1368235*b2575*b2576 + 717*b2576 + 0.2736475*b2576^2
     + 0.046336*b2576*b2577 + 454*b2577 + 0.092672*b2577^2 + 0.0632615*b2577*
    b2578 + 255*b2578 + 0.1265225*b2578^2 + 0.2485545*b2578*b2579 + 423*b2579
     + 0.497109*b2579^2 + 0.04139425*b2579*b2580 + 757*b2580 + 0.0827885*b2580^
    2 + 0.1227925*b2580*b2581 + 486*b2581 + 0.2455845*b2581^2 + 0.0525505*b2581
    *b2582 + 685*b2582 + 0.105101*b2582*b2582 + 0.216522*b2582*b2583 + 456*
    b2583 + 0.4330445*b2583^2 + 0.2190745*b2583*b2584 + 582*b2584 + 0.438149*
    b2584^2 + 0.03634375*b2584*b2585 + 433*b2585 + 0.0726875*b2585^2 + 0.091373
    *b2585*b2586 + 540*b2586 + 0.1827455*b2586^2 + 0.233461*b2586*b2587 + 669*
    b2587 + 0.466922*b2587^2 + 0.0791925*b2587*b2588 + 549*b2588 + 0.1583845*
    b2588*b2588 + 0.1900855*b2588*b2589 + 681*b2589 + 0.380171*b2589^2 + 
    0.107599*b2589*b2590 + 786*b2590 + 0.2151975*b2590^2 + 0.0897495*b2590*
    b2591 + 590*b2591 + 0.179499*b2591^2 + 0.2448505*b2591*b2592 + 393*b2592 + 
    0.489701*b2592^2 + 0.00817865*b2592*b2593 + 467*b2593 + 0.0163573*b2593^2
     + 0.243569*b2593*b2594 + 439*b2594 + 0.4871385*b2594*b2594 + 0.0610575*
    b2594*b2595 + 423*b2595 + 0.122115*b2595^2 + 0.126184*b2595*b2596 + 562*
    b2596 + 0.2523685*b2596^2 + 0.04581975*b2596*b2597 + 1180*b2597 + 0.0916395
    *b2597^2 + 0.2412235*b2597*b2598 + 485*b2598 + 0.4824465*b2598^2 + 
    0.03040075*b2598*b2599 + 260*b2599 + 0.0608015*b2599^2 + 0.04806575*b2599*
    b2600 + 1260*b2600 + 0.0961315*b2600^2 + 0.1245045*b2600*b2601 + 1318*b2601
     + 0.2490095*b2601^2 + 0.189847*b2601*b2602 + 452*b2602 + 0.3796945*b2602^2
     + 0.0545095*b2602*b2603 + 561*b2603 + 0.1090185*b2603^2 + 0.186351*b2603*
    b2604 + 510*b2604 + 0.3727025*b2604^2 + 0.11127*b2604*b2605 + 454*b2605 + 
    0.22254*b2605^2 + 0.24147*b2605*b2606 + 577*b2606 + 0.4829405*b2606*b2606
     + 0.2248235*b2606*b2607 + 643*b2607 + 0.4496475*b2607^2 + 0.125008*b2607*
    b2608 + 215*b2608 + 0.250016*b2608^2 + 0.217832*b2608*b2609 + 978*b2609 + 
    0.435664*b2609^2 + 0.063735*b2609*b2610 + 524*b2610 + 0.1274705*b2610^2 + 
    0.146606*b2610*b2611 + 152*b2611 + 0.2932125*b2611^2 + 0.036581*b2611*b2612
     + 405*b2612 + 0.073162*b2612*b2612 + 0.224429*b2612*b2613 + 1191*b2613 + 
    0.448858*b2613^2 + 0.0168468*b2613*b2614 + 471*b2614 + 0.03369365*b2614^2
     + 0.01066345*b2614*b2615 + 483*b2615 + 0.0213269*b2615^2 + 0.0485155*b2615
    *b2616 + 1213*b2616 + 0.097031*b2616^2 + 0.1404075*b2616*b2617 + 252*b2617
     + 0.2808155*b2617^2 + 0.0153391*b2617*b2618 + 668*b2618 + 0.0306782*b2618^
    2 + 0.0615105*b2618*b2619 + 569*b2619 + 0.123021*b2619^2 + 0.1597535*b2619*
    b2620 + 724*b2620 + 0.319507*b2620^2 + 0.1085505*b2620*b2621 + 225*b2621 + 
    0.217101*b2621^2 + 0.1372655*b2621*b2622 + 440*b2622 + 0.274531*b2622^2 + 
    0.2465705*b2622*b2623 + 383*b2623 + 0.493141*b2623^2 + 0.2007045*b2623*
    b2624 + 855*b2624 + 0.4014095*b2624*b2624 + 0.062404*b2624*b2625 + 498*
    b2625 + 0.124808*b2625^2 + 0.088681*b2625*b2626 + 421*b2626 + 0.177362*
    b2626^2 + 0.137012*b2626*b2627 + 245*b2627 + 0.274024*b2627^2 + 0.0575175*
    b2627*b2628 + 574*b2628 + 0.1150355*b2628^2 + 0.0802305*b2628*b2629 + 533*
    b2629 + 0.1604605*b2629^2 + 0.234505*b2629*b2630 + 384*b2630 + 0.4690105*
    b2630*b2630 + 0.180735*b2630*b2631 + 512*b2631 + 0.36147*b2631^2 + 
    0.1503395*b2631*b2632 + 523*b2632 + 0.3006795*b2632^2 + 0.1502205*b2632*
    b2633 + 223*b2633 + 0.3004415*b2633^2 + 0.153489*b2633*b2634 + 718*b2634 + 
    0.306978*b2634^2 + 0.1128235*b2634*b2635 + 394*b2635 + 0.225647*b2635^2 + 
    0.1955495*b2635*b2636 + 797*b2636 + 0.3910985*b2636*b2636 + 0.159538*b2636*
    b2637 + 411*b2637 + 0.3190765*b2637^2 + 0.059678*b2637*b2638 + 206*b2638 + 
    0.119356*b2638^2 + 0.174335*b2638*b2639 + 235*b2639 + 0.3486705*b2639^2 + 
    0.134872*b2639*b2640 + 969*b2640 + 0.2697445*b2640^2 + 0.233124*b2640*b2641
     + 836*b2641 + 0.466248*b2641^2 + 0.0879255*b2641*b2642 + 322*b2642 + 
    0.175851*b2642*b2642 + 0.170644*b2642*b2643 + 391*b2643 + 0.341288*b2643^2
     + 0.155564*b2643*b2644 + 610*b2644 + 0.311128*b2644^2 + 0.2485905*b2644*
    b2645 + 486*b2645 + 0.4971815*b2645^2 + 0.2326495*b2645*b2646 + 388*b2646
     + 0.465299*b2646^2 + 0.123209*b2646*b2647 + 823*b2647 + 0.246418*b2647*
    b2647 + 0.249011*b2647*b2648 + 569*b2648 + 0.498022*b2648^2 + 0.0248123*
    b2648*b2649 + 786*b2649 + 0.04962465*b2649^2 + 0.189539*b2649*b2650 + 648*
    b2650 + 0.379078*b2650^2 + 0.2110345*b2650*b2651 + 643*b2651 + 0.422069*
    b2651^2 + 0.174557*b2651*b2652 + 64*b2652 + 0.3491135*b2652^2 + 0.02617075*
    b2652*b2653 + 808*b2653 + 0.0523415*b2653^2 + 0.01809835*b2653*b2654 + 674*
    b2654 + 0.0361967*b2654^2 + 0.158145*b2654*b2655 + 358*b2655 + 0.3162905*
    b2655^2 + 0.094985*b2655*b2656 + 1243*b2656 + 0.1899695*b2656^2 + 
    0.004916825*b2656*b2657 + 491*b2657 + 0.00983365*b2657^2 + 0.066033*b2657*
    b2658 + 408*b2658 + 0.132066*b2658^2 + 0.0846415*b2658*b2659 + 922*b2659 + 
    0.169283*b2659^2 + 0.002384015*b2659*b2660 + 465*b2660 + 0.00476803*b2660^2
     + 0.0987485*b2660*b2661 + 673*b2661 + 0.1974975*b2661^2 + 0.095081*b2661*
    b2662 + 1126*b2662 + 0.190162*b2662^2 + 0.169701*b2662*b2663 + 1197*b2663
     + 0.3394025*b2663^2 + 0.247787*b2663*b2664 + 637*b2664 + 0.4955735*b2664^2
     + 0.01861525*b2664*b2665 + 877*b2665 + 0.0372305*b2665^2 + 0.174798*b2665*
    b2666 + 776*b2666 + 0.3495955*b2666^2 + 0.1590225*b2666*b2667 + 800*b2667
     + 0.318045*b2667^2 + 0.2485835*b2667*b2668 + 547*b2668 + 0.4971675*b2668^2
     + 0.04480675*b2668*b2669 + 991*b2669 + 0.0896135*b2669^2 + 0.1983585*b2669
    *b2670 + 497*b2670 + 0.3967165*b2670^2 + 0.110468*b2670*b2671 + 710*b2671
     + 0.2209355*b2671*b2671 + 0.0439035*b2671*b2672 + 1086*b2672 + 0.087807*
    b2672^2 + 0.094278*b2672*b2673 + 640*b2673 + 0.188556*b2673^2 + 0.182457*
    b2673*b2674 + 580*b2674 + 0.3649135*b2674^2 + 0.0856765*b2674*b2675 + 600*
    b2675 + 0.1713535*b2675^2 + 0.1538945*b2675*b2676 + 1394*b2676 + 0.307789*
    b2676^2 + 0.0176504*b2676*b2677 + 207*b2677 + 0.0353008*b2677*b2677 + 
    0.1381545*b2677*b2678 + 1141*b2678 + 0.2763085*b2678^2 + 0.1941625*b2678*
    b2679 + 245*b2679 + 0.3883255*b2679^2 + 0.1828395*b2679*b2680 + 1107*b2680
     + 0.3656785*b2680^2 + 0.1798215*b2680*b2681 + 636*b2681 + 0.359643*b2681^2
     + 0.16196*b2681*b2682 + 226*b2682 + 0.32392*b2682^2 + 0.2241895*b2682*
    b2683 + 1046*b2683 + 0.448379*b2683*b2683 + 0.092094*b2683*b2684 + 780*
    b2684 + 0.184188*b2684^2 + 0.216981*b2684*b2685 + 352*b2685 + 0.4339625*
    b2685^2 + 0.194267*b2685*b2686 + 578*b2686 + 0.388534*b2686^2 + 0.1838505*
    b2686*b2687 + 575*b2687 + 0.367701*b2687^2 + 0.1769705*b2687*b2688 + 132*
    b2688 + 0.353941*b2688*b2688 + 0.1178175*b2688*b2689 + 765*b2689 + 
    0.2356355*b2689^2 + 0.2272725*b2689*b2690 + 468*b2690 + 0.4545455*b2690^2
     + 0.1584815*b2690*b2691 + 383*b2691 + 0.316963*b2691^2 + 0.071748*b2691*
    b2692 + 1078*b2692 + 0.143496*b2692^2 + 0.0158355*b2692*b2693 + 445*b2693
     + 0.031671*b2693^2 + 0.02386285*b2693*b2694 + 550*b2694 + 0.04772565*b2694
    ^2 + 0.040035*b2694*b2695 + 541*b2695 + 0.08007*b2695^2 + 0.240366*b2695*
    b2696 + 423*b2696 + 0.480732*b2696^2 + 0.2108705*b2696*b2697 + 480*b2697 + 
    0.421741*b2697^2 + 0.141417*b2697*b2698 + 230*b2698 + 0.2828335*b2698^2 + 
    0.125265*b2698*b2699 + 284*b2699 + 0.2505295*b2699^2 + 0.2211655*b2699*
    b2700 + 268*b2700 + 0.4423315*b2700^2 + 0.0374805*b2700*b2701 + 374*b2701
     + 0.074961*b2701^2 + 0.1211065*b2701*b2702 + 592*b2702 + 0.2422135*b2702^2
     + 0.00159888*b2702*b2703 + 817*b2703 + 0.00319776*b2703^2 + 0.153962*b2703
    *b2704 + 80*b2704 + 0.3079245*b2704^2 + 0.02948675*b2704*b2705 + 1124*b2705
     + 0.0589735*b2705^2 + 0.04494925*b2705*b2706 + 572*b2706 + 0.0898985*b2706
    ^2 + 0.01968585*b2706*b2707 + 371*b2707 + 0.0393717*b2707^2 + 0.222468*
    b2707*b2708 + 629*b2708 + 0.444936*b2708^2 + 0.230888*b2708*b2709 + 559*
    b2709 + 0.461776*b2709^2 + 0.1621825*b2709*b2710 + 620*b2710 + 0.3243645*
    b2710^2 + 0.1702105*b2710*b2711 + 833*b2711 + 0.3404205*b2711^2 + 0.1674685
    *b2711*b2712 + 720*b2712 + 0.3349365*b2712^2 + 0.042675*b2712*b2713 + 828*
    b2713 + 0.08535*b2713^2 + 0.1941025*b2713*b2714 + 499*b2714 + 0.3882045*
    b2714^2 + 0.158681*b2714*b2715 + 839*b2715 + 0.3173615*b2715^2 + 0.03831075
    *b2715*b2716 + 578*b2716 + 0.0766215*b2716^2 + 0.000216442*b2716*b2717 + 
    790*b2717 + 0.0004328835*b2717^2 + 0.218569*b2717*b2718 + 415*b2718 + 
    0.437138*b2718^2 + 0.130348*b2718*b2719 + 1026*b2719 + 0.260696*b2719^2 + 
    0.00779625*b2719*b2720 + 660*b2720 + 0.0155925*b2720^2 + 0.093412*b2720*
    b2721 + 472*b2721 + 0.186824*b2721^2 + 0.1422865*b2721*b2722 + 668*b2722 + 
    0.2845735*b2722^2 + 0.093405*b2722*b2723 + 833*b2723 + 0.1868105*b2723^2 + 
    0.240489*b2723*b2724 + 584*b2724 + 0.4809785*b2724*b2724 + 0.212666*b2724*
    b2725 + 590*b2725 + 0.425332*b2725^2 + 0.1252705*b2725*b2726 + 697*b2726 + 
    0.2505415*b2726^2 + 0.123997*b2726*b2727 + 892*b2727 + 0.2479935*b2727^2 + 
    0.136686*b2727*b2728 + 1088*b2728 + 0.273372*b2728^2 + 0.1963165*b2728*
    b2729 + 713*b2729 + 0.392633*b2729^2 + 0.07828*b2729*b2730 + 723*b2730 + 
    0.15656*b2730*b2730 + 0.184537*b2730*b2731 + 978*b2731 + 0.369074*b2731^2
     + 0.080169*b2731*b2732 + 733*b2732 + 0.1603385*b2732^2 + 0.1960425*b2732*
    b2733 + 810*b2733 + 0.3920855*b2733^2 + 0.2262305*b2733*b2734 + 676*b2734
     + 0.452461*b2734^2 + 0.01170905*b2734*b2735 + 409*b2735 + 0.0234181*b2735^
    2 + 0.03413375*b2735*b2736 + 405*b2736 + 0.0682675*b2736^2 + 0.01710135*
    b2736*b2737 + 235*b2737 + 0.03420265*b2737^2 + 0.218429*b2737*b2738 + 356*
    b2738 + 0.4368585*b2738^2 + 0.03304525*b2738*b2739 + 409*b2739 + 0.0660905*
    b2739^2 + 0.050016*b2739*b2740 + 437*b2740 + 0.100032*b2740^2 + 0.1655505*
    b2740*b2741 + 432*b2741 + 0.331101*b2741*b2741 + 0.0664875*b2741*b2742 + 
    455*b2742 + 0.1329755*b2742^2 + 0.120611*b2742*b2743 + 229*b2743 + 
    0.2412215*b2743^2 + 0.247558*b2743*b2744 + 554*b2744 + 0.495116*b2744^2 + 
    0.079387*b2744*b2745 + 590*b2745 + 0.158774*b2745^2 + 0.160429*b2745*b2746
     + 760*b2746 + 0.3208575*b2746^2 + 0.097917*b2746*b2747 + 735*b2747 + 
    0.195834*b2747*b2747 + 0.238664*b2747*b2748 + 660*b2748 + 0.4773275*b2748^2
     + 0.0818285*b2748*b2749 + 932*b2749 + 0.163657*b2749^2 + 0.1752355*b2749*
    b2750 + 247*b2750 + 0.350471*b2750^2 + 0.100556*b2750*b2751 + 542*b2751 + 
    0.2011125*b2751^2 + 0.179268*b2751*b2752 + 405*b2752 + 0.3585365*b2752^2 + 
    0.181119*b2752*b2753 + 956*b2753 + 0.362238*b2753*b2753 + 0.144749*b2753*
    b2754 + 391*b2754 + 0.289498*b2754^2 + 0.209399*b2754*b2755 + 494*b2755 + 
    0.418798*b2755^2 + 0.0185516*b2755*b2756 + 431*b2756 + 0.03710325*b2756^2
     + 0.1524455*b2756*b2757 + 444*b2757 + 0.3048905*b2757^2 + 0.2098365*b2757*
    b2758 + 530*b2758 + 0.419673*b2758*b2758 + 0.1895965*b2758*b2759 + 599*
    b2759 + 0.379193*b2759^2 + 0.0300065*b2759*b2760 + 396*b2760 + 0.060013*
    b2760^2 + 0.214413*b2760*b2761 + 257*b2761 + 0.4288265*b2761^2 + 0.1554715*
    b2761*b2762 + 638*b2762 + 0.3109425*b2762^2 + 0.0818725*b2762*b2763 + 284*
    b2763 + 0.163745*b2763^2 + 0.00376565*b2763*b2764 + 284*b2764 + 0.0075313*
    b2764^2 + 0.036197*b2764*b2765 + 475*b2765 + 0.072394*b2765^2 + 0.187903*
    b2765*b2766 + 449*b2766 + 0.375806*b2766^2 + 0.134953*b2766*b2767 + 359*
    b2767 + 0.2699065*b2767^2 + 0.058978*b2767*b2768 + 397*b2768 + 0.1179555*
    b2768^2 + 0.127457*b2768*b2769 + 595*b2769 + 0.254914*b2769^2 + 0.045116*
    b2769*b2770 + 381*b2770 + 0.090232*b2770*b2770 + 0.0585855*b2770*b2771 + 
    484*b2771 + 0.1171715*b2771^2 + 0.142552*b2771*b2772 + 498*b2772 + 0.285104
    *b2772^2 + 0.0274755*b2772*b2773 + 546*b2773 + 0.054951*b2773^2 + 0.064934*
    b2773*b2774 + 1156*b2774 + 0.1298685*b2774^2 + 0.0676415*b2774*b2775 + 816*
    b2775 + 0.135283*b2775^2 + 0.02206045*b2775*b2776 + 472*b2776 + 0.0441209*
    b2776^2 + 0.159603*b2776*b2777 + 425*b2777 + 0.319206*b2777^2 + 0.209489*
    b2777*b2778 + 549*b2778 + 0.418978*b2778^2 + 0.1982105*b2778*b2779 + 404*
    b2779 + 0.3964215*b2779^2 + 0.073707*b2779*b2780 + 481*b2780 + 0.1474135*
    b2780^2 + 0.200612*b2780*b2781 + 662*b2781 + 0.401224*b2781^2 + 0.157461*
    b2781*b2782 + 748*b2782 + 0.3149215*b2782*b2782 + 0.1260815*b2782*b2783 + 
    2015*b2783 + 0.252163*b2783^2 + 0.2460495*b2783*b2784 + 545*b2784 + 
    0.492099*b2784^2 + 0.100027*b2784*b2785 + 504*b2785 + 0.2000545*b2785^2 + 
    0.170084*b2785*b2786 + 794*b2786 + 0.3401685*b2786^2 + 0.20902*b2786*b2787
     + 222*b2787 + 0.4180395*b2787^2 + 0.061898*b2787*b2788 + 447*b2788 + 
    0.1237955*b2788*b2788 + 0.1887195*b2788*b2789 + 1135*b2789 + 0.377439*b2789
    ^2 + 0.0068189*b2789*b2790 + 369*b2790 + 0.0136378*b2790^2 + 0.222202*b2790
    *b2791 + 518*b2791 + 0.4444035*b2791^2 + 0.093486*b2791*b2792 + 304*b2792
     + 0.1869715*b2792^2 + 0.2401865*b2792*b2793 + 829*b2793 + 0.480373*b2793^2
     + 0.02337875*b2793*b2794 + 854*b2794 + 0.0467575*b2794^2 + 0.04137075*
    b2794*b2795 + 511*b2795 + 0.0827415*b2795^2 + 0.1702665*b2795*b2796 + 232*
    b2796 + 0.3405325*b2796^2 + 0.088958*b2796*b2797 + 572*b2797 + 0.1779155*
    b2797^2 + 0.0469305*b2797*b2798 + 516*b2798 + 0.093861*b2798^2 + 0.0965755*
    b2798*b2799 + 369*b2799 + 0.193151*b2799^2 + 0.0507745*b2799*b2800 + 858*
    b2800 + 0.101549*b2800*b2800 + 0.0580465*b2800*b2801 + 1104*b2801 + 
    0.116093*b2801^2 + 0.051212*b2801*b2802 + 1163*b2802 + 0.1024235*b2802^2 + 
    0.132474*b2802*b2803 + 391*b2803 + 0.2649475*b2803^2 + 0.100337*b2803*b2804
     + 512*b2804 + 0.2006735*b2804^2 + 0.2286045*b2804*b2805 + 517*b2805 + 
    0.4572085*b2805^2 + 0.01655605*b2805*b2806 + 173*b2806 + 0.0331121*b2806^2
     + 0.090007*b2806*b2807 + 711*b2807 + 0.1800145*b2807^2 + 0.2224725*b2807*
    b2808 + 385*b2808 + 0.4449445*b2808^2 + 0.24744*b2808*b2809 + 647*b2809 + 
    0.4948795*b2809^2 + 0.2304975*b2809*b2810 + 168*b2810 + 0.460995*b2810^2 + 
    0.178633*b2810*b2811 + 781*b2811 + 0.3572655*b2811^2 + 0.01863315*b2811*
    b2812 + 477*b2812 + 0.03726625*b2812^2 + 0.2463115*b2812*b2813 + 556*b2813
     + 0.4926225*b2813^2 + 0.166535*b2813*b2814 + 578*b2814 + 0.3330695*b2814^2
     + 0.2234475*b2814*b2815 + 193*b2815 + 0.446895*b2815^2 + 0.111622*b2815*
    b2816 + 231*b2816 + 0.2232435*b2816^2 + 0.1835555*b2816*b2817 + 631*b2817
     + 0.3671115*b2817^2 + 0.2299655*b2817*b2818 + 65*b2818 + 0.4599305*b2818*
    b2818 + 0.00590375*b2818*b2819 + 323*b2819 + 0.0118075*b2819^2 + 0.093433*
    b2819*b2820 + 384*b2820 + 0.1868665*b2820^2 + 0.1381255*b2820*b2821 + 610*
    b2821 + 0.276251*b2821^2 + 0.01445075*b2821*b2822 + 707*b2822 + 0.0289015*
    b2822^2 + 0.1887415*b2822*b2823 + 42*b2823 + 0.377483*b2823^2 + 0.0242195*
    b2823*b2824 + 663*b2824 + 0.04843895*b2824^2 + 0.0503215*b2824*b2825 + 1447
    *b2825 + 0.1006435*b2825^2 + 0.175576*b2825*b2826 + 152*b2826 + 0.351152*
    b2826^2 + 0.059144*b2826*b2827 + 620*b2827 + 0.1182875*b2827^2 + 0.02252855
    *b2827*b2828 + 505*b2828 + 0.0450571*b2828^2 + 0.1171*b2828*b2829 + 332*
    b2829 + 0.2341995*b2829^2 + 0.1200295*b2829*b2830 + 224*b2830 + 0.2400585*
    b2830^2 + 0.149689*b2830*b2831 + 283*b2831 + 0.2993775*b2831^2 + 0.099622*
    b2831*b2832 + 302*b2832 + 0.1992445*b2832^2 + 0.132372*b2832*b2833 + 1038*
    b2833 + 0.2647435*b2833^2 + 0.03219775*b2833*b2834 + 36*b2834 + 0.0643955*
    b2834^2 + 0.0773915*b2834*b2835 + 878*b2835 + 0.1547835*b2835^2 + 0.212355*
    b2835*b2836 + 343*b2836 + 0.42471*b2836*b2836 + 0.165056*b2836*b2837 + 249*
    b2837 + 0.3301125*b2837^2 + 0.2461425*b2837*b2838 + 336*b2838 + 0.4922845*
    b2838^2 + 0.246983*b2838*b2839 + 56*b2839 + 0.4939655*b2839^2 + 0.114227*
    b2839*b2840 + 1041*b2840 + 0.2284535*b2840^2 + 0.2006595*b2840*b2841 + 392*
    b2841 + 0.4013195*b2841^2 + 0.0928665*b2841*b2842 + 652*b2842 + 0.1857335*
    b2842^2 + 0.164311*b2842*b2843 + 782*b2843 + 0.328622*b2843^2 + 0.1812745*
    b2843*b2844 + 785*b2844 + 0.362549*b2844^2 + 0.1926405*b2844*b2845 + 294*
    b2845 + 0.3852815*b2845^2 + 0.2455185*b2845*b2846 + 707*b2846 + 0.491037*
    b2846^2 + 0.0944155*b2846*b2847 + 588*b2847 + 0.1888305*b2847^2 + 0.150404*
    b2847*b2848 + 431*b2848 + 0.3008085*b2848*b2848 + 0.2305395*b2848*b2849 + 
    633*b2849 + 0.461079*b2849^2 + 0.1890275*b2849*b2850 + 622*b2850 + 
    0.3780545*b2850^2 + 0.0219306*b2850*b2851 + 366*b2851 + 0.04386125*b2851^2
     + 0.219148*b2851*b2852 + 224*b2852 + 0.438296*b2852^2 + 0.0909735*b2852*
    b2853 + 675*b2853 + 0.181947*b2853^2 + 0.003578575*b2853*b2854 + 392*b2854
     + 0.00715715*b2854^2 + 0.0150729*b2854*b2855 + 572*b2855 + 0.0301458*b2855
    ^2 + 0.091697*b2855*b2856 + 839*b2856 + 0.183394*b2856^2 + 0.0559735*b2856*
    b2857 + 418*b2857 + 0.111947*b2857^2 + 0.194506*b2857*b2858 + 71*b2858 + 
    0.3890125*b2858^2 + 0.200453*b2858*b2859 + 667*b2859 + 0.4009055*b2859^2 + 
    0.1317*b2859*b2860 + 609*b2860 + 0.2634005*b2860^2 + 0.12379*b2860*b2861 + 
    1228*b2861 + 0.2475795*b2861^2 + 0.219657*b2861*b2862 + 1516*b2862 + 
    0.439314*b2862^2 + 0.1080915*b2862*b2863 + 441*b2863 + 0.216183*b2863^2 + 
    0.0042421*b2863*b2864 + 685*b2864 + 0.0084842*b2864^2 + 0.16068*b2864*b2865
     + 439*b2865 + 0.3213605*b2865*b2865 + 0.0894695*b2865*b2866 + 768*b2866 + 
    0.1789385*b2866^2 + 0.1067875*b2866*b2867 + 448*b2867 + 0.213575*b2867^2 + 
    0.139716*b2867*b2868 + 474*b2868 + 0.2794325*b2868^2 + 0.2020485*b2868*
    b2869 + 214*b2869 + 0.4040975*b2869^2 + 0.109486*b2869*b2870 + 610*b2870 + 
    0.2189715*b2870^2 + 0.01669225*b2870*b2871 + 258*b2871 + 0.03338455*b2871^2
     + 0.1829725*b2871*b2872 + 463*b2872 + 0.3659455*b2872^2 + 0.2319875*b2872*
    b2873 + 349*b2873 + 0.4639745*b2873^2 + 0.03777125*b2873*b2874 + 359*b2874
     + 0.0755425*b2874^2 + 0.207998*b2874*b2875 + 500*b2875 + 0.4159955*b2875^2
     + 0.0744895*b2875*b2876 + 637*b2876 + 0.148979*b2876^2 + 0.004376225*b2876
    *b2877 + 533*b2877 + 0.00875245*b2877^2 + 0.01257025*b2877*b2878 + 219*
    b2878 + 0.0251405*b2878^2 + 0.0655145*b2878*b2879 + 79*b2879 + 0.1310295*
    b2879^2 + 0.1332*b2879*b2880 + 649*b2880 + 0.2664005*b2880^2 + 0.244956*
    b2880*b2881 + 745*b2881 + 0.489912*b2881^2 + 0.0207123*b2881*b2882 + 770*
    b2882 + 0.0414246*b2882^2 + 0.110715*b2882*b2883 + 512*b2883 + 0.22143*
    b2883*b2883 + 0.218374*b2883*b2884 + 66*b2884 + 0.4367475*b2884^2 + 
    0.2040455*b2884*b2885 + 628*b2885 + 0.4080915*b2885^2 + 0.069674*b2885*
    b2886 + 694*b2886 + 0.139348*b2886^2 + 0.1792375*b2886*b2887 + 257*b2887 + 
    0.358475*b2887^2 + 0.03606975*b2887*b2888 + 706*b2888 + 0.0721395*b2888^2
     + 0.00770805*b2888*b2889 + 332*b2889 + 0.01541605*b2889^2 + 0.0687045*
    b2889*b2890 + 1443*b2890 + 0.137409*b2890^2 + 0.171939*b2890*b2891 + 560*
    b2891 + 0.343878*b2891^2 + 0.113541*b2891*b2892 + 674*b2892 + 0.227082*
    b2892^2 + 0.2124195*b2892*b2893 + 528*b2893 + 0.4248385*b2893^2 + 0.1115375
    *b2893*b2894 + 759*b2894 + 0.2230745*b2894^2 + 0.134643*b2894*b2895 + 1259*
    b2895 + 0.269286*b2895*b2895 + 0.0572915*b2895*b2896 + 686*b2896 + 
    0.1145825*b2896^2 + 0.081831*b2896*b2897 + 344*b2897 + 0.163662*b2897^2 + 
    0.1289925*b2897*b2898 + 532*b2898 + 0.257985*b2898^2 + 0.0186405*b2898*
    b2899 + 1423*b2899 + 0.037281*b2899^2 + 0.0353695*b2899*b2900 + 739*b2900
     + 0.070739*b2900^2 + 0.0939095*b2900*b2901 + 610*b2901 + 0.187819*b2901*
    b2901 + 0.0824525*b2901*b2902 + 611*b2902 + 0.1649045*b2902^2 + 0.2298785*
    b2902*b2903 + 234*b2903 + 0.4597565*b2903^2 + 0.1107765*b2903*b2904 + 449*
    b2904 + 0.2215525*b2904^2 + 0.10525*b2904*b2905 + 612*b2905 + 0.2105*b2905^
    2 + 0.093166*b2905*b2906 + 1042*b2906 + 0.186332*b2906^2 + 0.02516275*b2906
    *b2907 + 513*b2907 + 0.0503255*b2907^2 + 0.063193*b2907*b2908 + 608*b2908
     + 0.1263855*b2908^2 + 0.02503925*b2908*b2909 + 1491*b2909 + 0.0500785*
    b2909^2 + 0.0951465*b2909*b2910 + 812*b2910 + 0.1902925*b2910^2 + 
    0.03226675*b2910*b2911 + 422*b2911 + 0.0645335*b2911^2 + 0.1638885*b2911*
    b2912 + 1081*b2912 + 0.3277775*b2912^2 + 0.085202*b2912*b2913 + 548*b2913
     + 0.1704035*b2913^2 + 0.02825775*b2913*b2914 + 945*b2914 + 0.0565155*b2914
    ^2 + 0.059844*b2914*b2915 + 423*b2915 + 0.1196875*b2915^2 + 0.0443955*b2915
    *b2916 + 748*b2916 + 0.088791*b2916^2 + 0.052993*b2916*b2917 + 444*b2917 + 
    0.1059865*b2917^2 + 0.1476155*b2917*b2918 + 454*b2918 + 0.2952305*b2918^2
     + 0.223254*b2918*b2919 + 632*b2919 + 0.4465085*b2919*b2919 + 0.201668*
    b2919*b2920 + 291*b2920 + 0.4033355*b2920^2 + 0.1120535*b2920*b2921 + 493*
    b2921 + 0.224107*b2921^2 + 0.0787355*b2921*b2922 + 742*b2922 + 0.1574715*
    b2922^2 + 0.048872*b2922*b2923 + 233*b2923 + 0.097744*b2923^2 + 0.1335245*
    b2923*b2924 + 1083*b2924 + 0.2670495*b2924^2 + 0.1641815*b2924*b2925 + 701*
    b2925 + 0.328363*b2925*b2925 + 0.1622585*b2925*b2926 + 441*b2926 + 0.324517
    *b2926^2 + 0.094382*b2926*b2927 + 423*b2927 + 0.1887635*b2927^2 + 
    0.03448125*b2927*b2928 + 933*b2928 + 0.0689625*b2928^2 + 0.151683*b2928*
    b2929 + 588*b2929 + 0.303366*b2929^2 + 0.124879*b2929*b2930 + 271*b2930 + 
    0.2497585*b2930^2 + 0.01752745*b2930*b2931 + 481*b2931 + 0.0350549*b2931^2
     + 0.01141975*b2931*b2932 + 564*b2932 + 0.02283945*b2932^2 + 0.0449585*
    b2932*b2933 + 457*b2933 + 0.089917*b2933^2 + 0.1440365*b2933*b2934 + 556*
    b2934 + 0.288073*b2934^2 + 0.0908955*b2934*b2935 + 1172*b2935 + 0.1817915*
    b2935^2 + 0.03483775*b2935*b2936 + 584*b2936 + 0.0696755*b2936^2 + 
    0.1837495*b2936*b2937 + 428*b2937 + 0.3674985*b2937^2 + 0.148182*b2937*
    b2938 + 409*b2938 + 0.2963645*b2938^2 + 0.1871925*b2938*b2939 + 819*b2939
     + 0.374385*b2939^2 + 0.104698*b2939*b2940 + 644*b2940 + 0.209396*b2940^2
     + 0.078704*b2940*b2941 + 488*b2941 + 0.1574075*b2941^2 + 0.0683435*b2941*
    b2942 + 421*b2942 + 0.1366875*b2942^2 + 0.130977*b2942*b2943 + 670*b2943 + 
    0.2619545*b2943*b2943 + 0.1169695*b2943*b2944 + 404*b2944 + 0.2339395*b2944
    ^2 + 0.2129685*b2944*b2945 + 451*b2945 + 0.425937*b2945^2 + 0.081275*b2945*
    b2946 + 518*b2946 + 0.1625495*b2946^2 + 0.00716885*b2946*b2947 + 499*b2947
     + 0.01433775*b2947^2 + 0.1699725*b2947*b2948 + 537*b2948 + 0.339945*b2948^
    2 + 0.00845705*b2948*b2949 + 801*b2949 + 0.0169141*b2949^2 + 0.130567*b2949
    *b2950 + 1049*b2950 + 0.261134*b2950^2 + 0.049167*b2950*b2951 + 280*b2951
     + 0.098334*b2951^2 + 0.139931*b2951*b2952 + 410*b2952 + 0.279862*b2952^2
     + 0.1436825*b2952*b2953 + 716*b2953 + 0.287365*b2953^2 + 0.002142045*b2953
    *b2954 + 464*b2954 + 0.00428409*b2954^2 + 0.149821*b2954*b2955 + 295*b2955
     + 0.2996415*b2955^2 + 0.00897405*b2955*b2956 + 442*b2956 + 0.0179481*b2956
    ^2 + 0.06691*b2956*b2957 + 522*b2957 + 0.13382*b2957^2 + 0.0149731*b2957*
    b2958 + 719*b2958 + 0.02994615*b2958^2 + 0.0943885*b2958*b2959 + 348*b2959
     + 0.1887775*b2959^2 + 0.13345*b2959*b2960 + 458*b2960 + 0.2669*b2960^2 + 
    0.1486625*b2960*b2961 + 1077*b2961 + 0.297325*b2961^2 + 0.051897*b2961*
    b2962 + 744*b2962 + 0.103794*b2962^2 + 0.030502*b2962*b2963 + 393*b2963 + 
    0.061004*b2963^2 + 0.03351875*b2963*b2964 + 722*b2964 + 0.0670375*b2964^2
     + 0.175357*b2964*b2965 + 416*b2965 + 0.350714*b2965^2 + 0.155624*b2965*
    b2966 + 476*b2966 + 0.3112475*b2966*b2966 + 0.0841925*b2966*b2967 + 1141*
    b2967 + 0.168385*b2967^2 + 0.166344*b2967*b2968 + 247*b2968 + 0.3326875*
    b2968^2 + 0.0414705*b2968*b2969 + 519*b2969 + 0.082941*b2969^2 + 0.0216561*
    b2969*b2970 + 400*b2970 + 0.04331225*b2970^2 + 0.065049*b2970*b2971 + 420*
    b2971 + 0.130098*b2971^2 + 0.001797155*b2971*b2972 + 563*b2972 + 0.00359431
    *b2972^2 + 0.218729*b2972*b2973 + 460*b2973 + 0.437458*b2973^2 + 0.075756*
    b2973*b2974 + 449*b2974 + 0.151512*b2974^2 + 0.200898*b2974*b2975 + 1326*
    b2975 + 0.401796*b2975^2 + 0.2170255*b2975*b2976 + 431*b2976 + 0.4340515*
    b2976^2 + 0.0075746*b2976*b2977 + 871*b2977 + 0.0151492*b2977^2 + 
    0.001332735*b2977*b2978 + 569*b2978 + 0.00266547*b2978^2 + 0.16645*b2978*
    b2979 + 369*b2979 + 0.3329*b2979^2 + 0.071043*b2979*b2980 + 59*b2980 + 
    0.1420855*b2980^2 + 0.153992*b2980*b2981 + 428*b2981 + 0.3079845*b2981^2 + 
    0.0938195*b2981*b2982 + 484*b2982 + 0.187639*b2982^2 + 0.186013*b2982*b2983
     + 685*b2983 + 0.3720265*b2983^2 + 0.063166*b2983*b2984 + 558*b2984 + 
    0.126332*b2984*b2984 + 0.1371165*b2984*b2985 + 775*b2985 + 0.274233*b2985^2
     + 0.0042437*b2985*b2986 + 522*b2986 + 0.0084874*b2986^2 + 0.184076*b2986*
    b2987 + 229*b2987 + 0.3681525*b2987^2 + 0.025969*b2987*b2988 + 907*b2988 + 
    0.051938*b2988^2 + 0.2190205*b2988*b2989 + 1024*b2989 + 0.438041*b2989^2 + 
    0.0763715*b2989*b2990 + 244*b2990 + 0.152743*b2990*b2990 + 0.2148105*b2990*
    b2991 + 582*b2991 + 0.4296215*b2991^2 + 0.078876*b2991*b2992 + 1439*b2992
     + 0.1577525*b2992^2 + 0.1600495*b2992*b2993 + 450*b2993 + 0.3200985*b2993^
    2 + 0.2386675*b2993*b2994 + 593*b2994 + 0.477335*b2994^2 + 0.210554*b2994*
    b2995 + 775*b2995 + 0.421108*b2995^2 + 0.234301*b2995*b2996 + 685*b2996 + 
    0.4686015*b2996*b2996 + 0.0524705*b2996*b2997 + 448*b2997 + 0.104941*b2997^
    2 + 0.208913*b2997*b2998 + 444*b2998 + 0.417826*b2998^2 + 0.1098375*b2998*
    b2999 + 679*b2999 + 0.219675*b2999^2 + 0.248575*b2999*b3000 + 577*b3000 + 
    0.49715*b3000^2 + 0.1864455*b3000*b3001 + 519*b3001 + 0.372891*b3001^2 + 
    0.0233538*b3001*b3002 + 735*b3002 + 0.0467076*b3002^2 + 0.1799925*b3002*
    b3003 + 400*b3003 + 0.359985*b3003^2 + 0.136222*b3003*b3004 + 294*b3004 + 
    0.272444*b3004^2 + 0.126595*b3004*b3005 + 565*b3005 + 0.25319*b3005^2 + 
    0.153939*b3005*b3006 + 506*b3006 + 0.3078775*b3006^2 + 0.201339*b3006*b3007
     + 34*b3007 + 0.4026785*b3007*b3007 + 0.0572035*b3007*b3008 + 448*b3008 + 
    0.114407*b3008^2 + 0.1029105*b3008*b3009 + 532*b3009 + 0.2058215*b3009^2 + 
    0.0211216*b3009*b3010 + 411*b3010 + 0.0422432*b3010^2 + 0.05131*b3010*b3011
     + 430*b3011 + 0.10262*b3011^2 + 0.095627*b3011*b3012 + 732*b3012 + 
    0.1912545*b3012^2 + 0.2230845*b3012*b3013 + 819*b3013 + 0.4461685*b3013^2
     + 0.143507*b3013*b3014 + 449*b3014 + 0.287014*b3014^2 + 0.1281665*b3014*
    b3015 + 415*b3015 + 0.2563325*b3015^2 + 0.20456*b3015*b3016 + 417*b3016 + 
    0.4091205*b3016^2 + 0.1697165*b3016*b3017 + 549*b3017 + 0.339433*b3017^2 + 
    0.01173845*b3017*b3018 + 394*b3018 + 0.02347685*b3018^2 + 0.2481335*b3018*
    b3019 + 349*b3019 + 0.496267*b3019^2 + 0.091458*b3019*b3020 + 447*b3020 + 
    0.1829155*b3020^2 + 0.01472995*b3020*b3021 + 1120*b3021 + 0.02945995*b3021^
    2 + 0.0948555*b3021*b3022 + 464*b3022 + 0.189711*b3022^2 + 0.195397*b3022*
    b3023 + 1207*b3023 + 0.3907935*b3023^2 + 0.227665*b3023*b3024 + 566*b3024
     + 0.45533*b3024^2 + 0.1356345*b3024*b3025 + 645*b3025 + 0.271269*b3025*
    b3025 + 0.074955*b3025*b3026 + 368*b3026 + 0.1499095*b3026^2 + 0.0939625*
    b3026*b3027 + 423*b3027 + 0.1879255*b3027^2 + 0.02517825*b3027*b3028 + 469*
    b3028 + 0.0503565*b3028^2 + 0.188906*b3028*b3029 + 654*b3029 + 0.377812*
    b3029^2 + 0.2071495*b3029*b3030 + 588*b3030 + 0.414299*b3030^2 + 0.143412*
    b3030*b3031 + 482*b3031 + 0.2868245*b3031*b3031 + 0.118327*b3031*b3032 + 
    482*b3032 + 0.236654*b3032^2 + 0.248681*b3032*b3033 + 467*b3033 + 0.4973625
    *b3033^2 + 0.213479*b3033*b3034 + 427*b3034 + 0.426958*b3034^2 + 0.2098305*
    b3034*b3035 + 412*b3035 + 0.419661*b3035^2 + 0.14411*b3035*b3036 + 557*
    b3036 + 0.2882205*b3036*b3036 + 0.1462745*b3036*b3037 + 754*b3037 + 
    0.292549*b3037^2 + 0.1354445*b3037*b3038 + 816*b3038 + 0.270889*b3038^2 + 
    0.0231434*b3038*b3039 + 438*b3039 + 0.0462868*b3039^2 + 0.0512745*b3039*
    b3040 + 300*b3040 + 0.102549*b3040^2 + 0.1302425*b3040*b3041 + 432*b3041 + 
    0.2604845*b3041^2 + 0.1191815*b3041*b3042 + 471*b3042 + 0.238363*b3042*
    b3042 + 0.0161463*b3042*b3043 + 421*b3043 + 0.03229265*b3043^2 + 0.089539*
    b3043*b3044 + 618*b3044 + 0.1790775*b3044^2 + 0.241298*b3044*b3045 + 1024*
    b3045 + 0.4825965*b3045^2 + 0.0225446*b3045*b3046 + 682*b3046 + 0.04508925*
    b3046^2 + 0.11998*b3046*b3047 + 712*b3047 + 0.23996*b3047^2 + 0.04136725*
    b3047*b3048 + 824*b3048 + 0.0827345*b3048^2 + 0.242432*b3048*b3049 + 670*
    b3049 + 0.4848635*b3049^2 + 0.2063415*b3049*b3050 + 270*b3050 + 0.4126835*
    b3050^2 + 0.0724705*b3050*b3051 + 536*b3051 + 0.144941*b3051^2 + 0.00629885
    *b3051*b3052 + 396*b3052 + 0.01259775*b3052^2 + 0.224534*b3052*b3053 + 518*
    b3053 + 0.4490685*b3053^2 + 0.0845485*b3053*b3054 + 583*b3054 + 0.1690965*
    b3054^2 + 0.1449835*b3054*b3055 + 820*b3055 + 0.289967*b3055^2 + 0.2386465*
    b3055*b3056 + 332*b3056 + 0.477293*b3056^2 + 0.02987675*b3056*b3057 + 518*
    b3057 + 0.0597535*b3057^2 + 0.214405*b3057*b3058 + 1439*b3058 + 0.4288105*
    b3058^2 + 0.1060695*b3058*b3059 + 457*b3059 + 0.212139*b3059*b3059 + 
    0.232861*b3059*b3060 + 437*b3060 + 0.4657225*b3060^2 + 0.234764*b3060*b3061
     + 93*b3061 + 0.469528*b3061^2 + 0.065695*b3061*b3062 + 1095*b3062 + 
    0.1313905*b3062^2 + 0.03917075*b3062*b3063 + 269*b3063 + 0.0783415*b3063^2
     + 0.059151*b3063*b3064 + 396*b3064 + 0.1183015*b3064^2 + 0.197141*b3064*
    b3065 + 523*b3065 + 0.3942825*b3065*b3065 + 0.003285175*b3065*b3066 + 883*
    b3066 + 0.00657035*b3066^2 + 0.240864*b3066*b3067 + 214*b3067 + 0.481728*
    b3067^2 + 0.216581*b3067*b3068 + 64*b3068 + 0.433162*b3068^2 + 0.0955305*
    b3068*b3069 + 546*b3069 + 0.191061*b3069^2 + 0.1628305*b3069*b3070 + 422*
    b3070 + 0.3256605*b3070^2 + 0.067724*b3070*b3071 + 472*b3071 + 0.135448*
    b3071*b3071 + 0.00804425*b3071*b3072 + 474*b3072 + 0.0160885*b3072^2 + 
    0.114655*b3072*b3073 + 603*b3073 + 0.22931*b3073^2 + 0.0360905*b3073*b3074
     + 467*b3074 + 0.072181*b3074^2 + 0.1376435*b3074*b3075 + 456*b3075 + 
    0.275287*b3075^2 + 0.03997025*b3075*b3076 + 676*b3076 + 0.0799405*b3076^2
     + 0.214353*b3076*b3077 + 436*b3077 + 0.4287055*b3077*b3077 + 0.2351845*
    b3077*b3078 + 975*b3078 + 0.4703685*b3078^2 + 0.0993185*b3078*b3079 + 509*
    b3079 + 0.1986375*b3079^2 + 0.0490855*b3079*b3080 + 592*b3080 + 0.098171*
    b3080^2 + 0.0160585*b3080*b3081 + 524*b3081 + 0.032117*b3081^2 + 0.1245935*
    b3081*b3082 + 300*b3082 + 0.2491865*b3082^2 + 0.246274*b3082*b3083 + 682*
    b3083 + 0.492548*b3083*b3083 + 0.091141*b3083*b3084 + 843*b3084 + 0.182282*
    b3084^2 + 0.0460555*b3084*b3085 + 1179*b3085 + 0.092111*b3085^2 + 0.207769*
    b3085*b3086 + 77*b3086 + 0.4155375*b3086^2 + 0.0209437*b3086*b3087 + 470*
    b3087 + 0.04188745*b3087^2 + 0.1793995*b3087*b3088 + 675*b3088 + 0.358799*
    b3088^2 + 0.1916025*b3088*b3089 + 671*b3089 + 0.3832055*b3089*b3089 + 
    0.098798*b3089*b3090 + 57*b3090 + 0.1975955*b3090^2 + 0.061983*b3090*b3091
     + 664*b3091 + 0.1239655*b3091^2 + 0.149521*b3091*b3092 + 507*b3092 + 
    0.2990415*b3092^2 + 0.0185013*b3092*b3093 + 439*b3093 + 0.03700255*b3093^2
     + 0.1452285*b3093*b3094 + 467*b3094 + 0.2904565*b3094^2 + 0.226846*b3094*
    b3095 + 585*b3095 + 0.453692*b3095*b3095 + 0.2460545*b3095*b3096 + 551*
    b3096 + 0.492109*b3096^2 + 0.2486015*b3096*b3097 + 529*b3097 + 0.497203*
    b3097^2 + 0.2096325*b3097*b3098 + 617*b3098 + 0.419265*b3098^2 + 0.047538*
    b3098*b3099 + 507*b3099 + 0.095076*b3099^2 + 0.0085176*b3099*b3100 + 580*
    b3100 + 0.01703525*b3100^2 + 0.2385995*b3100*b3101 + 822*b3101 + 0.4771995*
    b3101^2 + 0.179691*b3101*b3102 + 730*b3102 + 0.359382*b3102^2 + 0.1320705*
    b3102*b3103 + 389*b3103 + 0.2641405*b3103^2 + 0.2341535*b3103*b3104 + 756*
    b3104 + 0.4683075*b3104^2 + 0.11734*b3104*b3105 + 557*b3105 + 0.2346805*
    b3105^2 + 0.1123245*b3105*b3106 + 385*b3106 + 0.2246485*b3106^2 + 0.249126*
    b3106*b3107 + 534*b3107 + 0.4982525*b3107*b3107 + 0.2040455*b3107*b3108 + 
    624*b3108 + 0.4080905*b3108^2 + 0.195934*b3108*b3109 + 1008*b3109 + 
    0.391868*b3109^2 + 0.118544*b3109*b3110 + 683*b3110 + 0.2370875*b3110^2 + 
    0.113959*b3110*b3111 + 391*b3111 + 0.227918*b3111^2 + 0.042305*b3111*b3112
     + 445*b3112 + 0.08461*b3112^2 + 0.02997175*b3112*b3113 + 1343*b3113 + 
    0.0599435*b3113^2 + 0.1037425*b3113*b3114 + 523*b3114 + 0.207485*b3114^2 + 
    0.1346605*b3114*b3115 + 641*b3115 + 0.2693205*b3115^2 + 0.245794*b3115*
    b3116 + 745*b3116 + 0.4915885*b3116^2 + 0.040081*b3116*b3117 + 488*b3117 + 
    0.080162*b3117^2 + 0.068484*b3117*b3118 + 630*b3118 + 0.1369685*b3118*b3118
     + 0.0926415*b3118*b3119 + 1003*b3119 + 0.185283*b3119^2 + 0.02308085*b3119
    *b3120 + 727*b3120 + 0.0461617*b3120^2 + 0.1744865*b3120*b3121 + 437*b3121
     + 0.3489735*b3121^2 + 0.013461*b3121*b3122 + 635*b3122 + 0.02692195*b3122^
    2 + 0.0925235*b3122*b3123 + 232*b3123 + 0.185047*b3123^2 + 0.23135*b3123*
    b3124 + 683*b3124 + 0.4627*b3124*b3124 + 0.244884*b3124*b3125 + 705*b3125
     + 0.489768*b3125^2 + 0.0217056*b3125*b3126 + 568*b3126 + 0.04341125*b3126^
    2 + 0.03494*b3126*b3127 + 779*b3127 + 0.06988*b3127^2 + 0.1130615*b3127*
    b3128 + 222*b3128 + 0.2261225*b3128^2 + 0.000205542*b3128*b3129 + 410*b3129
     + 0.0004110845*b3129^2 + 0.1885385*b3129*b3130 + 547*b3130 + 0.377077*
    b3130^2 + 0.0200829*b3130*b3131 + 460*b3131 + 0.04016575*b3131^2 + 
    0.2218225*b3131*b3132 + 571*b3132 + 0.443645*b3132^2 + 0.218391*b3132*b3133
     + 1058*b3133 + 0.436782*b3133^2 + 0.1072735*b3133*b3134 + 310*b3134 + 
    0.2145465*b3134^2 + 0.2273025*b3134*b3135 + 535*b3135 + 0.4546055*b3135^2
     + 0.102202*b3135*b3136 + 1215*b3136 + 0.2044045*b3136^2 + 0.0819135*b3136*
    b3137 + 262*b3137 + 0.163827*b3137^2 + 0.17264*b3137*b3138 + 690*b3138 + 
    0.34528*b3138^2 + 0.072132*b3138*b3139 + 617*b3139 + 0.144264*b3139^2 + 
    0.0122043*b3139*b3140 + 564*b3140 + 0.02440855*b3140^2 + 0.241366*b3140*
    b3141 + 881*b3141 + 0.482732*b3141^2 + 0.094581*b3141*b3142 + 247*b3142 + 
    0.1891615*b3142*b3142 + 0.1457955*b3142*b3143 + 817*b3143 + 0.291591*b3143^
    2 + 0.0362555*b3143*b3144 + 560*b3144 + 0.072511*b3144^2 + 0.2135255*b3144*
    b3145 + 685*b3145 + 0.4270515*b3145^2 + 0.223103*b3145*b3146 + 1190*b3146
     + 0.446206*b3146^2 + 0.0688405*b3146*b3147 + 229*b3147 + 0.1376805*b3147^2
     + 0.00995285*b3147*b3148 + 381*b3148 + 0.01990565*b3148^2 + 0.140991*b3148
    *b3149 + 448*b3149 + 0.281982*b3149^2 + 0.068391*b3149*b3150 + 254*b3150 + 
    0.136782*b3150^2 + 0.2403025*b3150*b3151 + 475*b3151 + 0.480605*b3151^2 + 
    0.02256245*b3151*b3152 + 845*b3152 + 0.04512485*b3152^2 + 0.0768505*b3152*
    b3153 + 426*b3153 + 0.153701*b3153^2 + 0.02714175*b3153*b3154 + 791*b3154
     + 0.0542835*b3154^2 + 0.0568555*b3154*b3155 + 539*b3155 + 0.1137115*b3155^
    2 + 0.248481*b3155*b3156 + 332*b3156 + 0.496962*b3156^2 + 0.13973*b3156*
    b3157 + 867*b3157 + 0.27946*b3157^2 + 0.2196115*b3157*b3158 + 584*b3158 + 
    0.439223*b3158^2 + 0.0886355*b3158*b3159 + 714*b3159 + 0.177271*b3159^2 + 
    0.105231*b3159*b3160 + 728*b3160 + 0.210462*b3160*b3160 + 0.1484465*b3160*
    b3161 + 566*b3161 + 0.2968935*b3161^2 + 0.1450375*b3161*b3162 + 574*b3162
     + 0.290075*b3162^2 + 0.03504975*b3162*b3163 + 374*b3163 + 0.0700995*b3163^
    2 + 0.03772425*b3163*b3164 + 561*b3164 + 0.0754485*b3164^2 + 0.121814*b3164
    *b3165 + 602*b3165 + 0.2436285*b3165^2 + 0.1586145*b3165*b3166 + 400*b3166
     + 0.3172295*b3166^2 + 0.2112875*b3166*b3167 + 388*b3167 + 0.422575*b3167^2
     + 0.1261385*b3167*b3168 + 423*b3168 + 0.252277*b3168^2 + 0.0789885*b3168*
    b3169 + 253*b3169 + 0.1579775*b3169^2 + 0.1350145*b3169*b3170 + 680*b3170
     + 0.2700285*b3170^2 + 0.01734815*b3170*b3171 + 587*b3171 + 0.0346963*b3171
    ^2 + 0.228904*b3171*b3172 + 407*b3172 + 0.457808*b3172*b3172 + 0.151948*
    b3172*b3173 + 286*b3173 + 0.303896*b3173^2 + 0.105562*b3173*b3174 + 410*
    b3174 + 0.2111245*b3174^2 + 0.126518*b3174*b3175 + 975*b3175 + 0.2530365*
    b3175^2 + 0.0438935*b3175*b3176 + 605*b3176 + 0.087787*b3176^2 + 0.1155025*
    b3176*b3177 + 1773*b3177 + 0.231005*b3177*b3177 + 0.0947455*b3177*b3178 + 
    268*b3178 + 0.1894905*b3178^2 + 0.0824565*b3178*b3179 + 587*b3179 + 
    0.164913*b3179^2 + 0.0592695*b3179*b3180 + 910*b3180 + 0.118539*b3180^2 + 
    0.0752935*b3180*b3181 + 660*b3181 + 0.1505865*b3181^2 + 0.233556*b3181*
    b3182 + 444*b3182 + 0.467112*b3182^2 + 0.176104*b3182*b3183 + 202*b3183 + 
    0.3522085*b3183*b3183 + 0.2441755*b3183*b3184 + 403*b3184 + 0.4883505*b3184
    ^2 + 0.2347895*b3184*b3185 + 548*b3185 + 0.469579*b3185^2 + 0.0994105*b3185
    *b3186 + 1075*b3186 + 0.198821*b3186^2 + 0.2018525*b3186*b3187 + 575*b3187
     + 0.403705*b3187^2 + 0.218603*b3187*b3188 + 273*b3188 + 0.4372055*b3188^2
     + 0.11901*b3188*b3189 + 311*b3189 + 0.23802*b3189*b3189 + 0.1241575*b3189*
    b3190 + 505*b3190 + 0.248315*b3190^2 + 0.054074*b3190*b3191 + 355*b3191 + 
    0.1081485*b3191^2 + 0.12643*b3191*b3192 + 760*b3192 + 0.2528595*b3192^2 + 
    0.01356365*b3192*b3193 + 642*b3193 + 0.0271273*b3193^2 + 0.1096715*b3193*
    b3194 + 555*b3194 + 0.219343*b3194^2 + 0.249337*b3194*b3195 + 724*b3195 + 
    0.498674*b3195*b3195 + 0.2028955*b3195*b3196 + 630*b3196 + 0.405791*b3196^2
     + 0.21932*b3196*b3197 + 581*b3197 + 0.43864*b3197^2 + 0.0738575*b3197*
    b3198 + 571*b3198 + 0.1477155*b3198^2 + 0.208446*b3198*b3199 + 488*b3199 + 
    0.4168915*b3199^2 + 0.086428*b3199*b3200 + 335*b3200 + 0.172856*b3200*b3200
     + 0.0459965*b3200*b3201 + 791*b3201 + 0.091993*b3201^2 + 0.0643395*b3201*
    b3202 + 612*b3202 + 0.128679*b3202^2 + 0.19406*b3202*b3203 + 319*b3203 + 
    0.3881195*b3203^2 + 0.0087212*b3203*b3204 + 576*b3204 + 0.0174424*b3204^2
     + 0.2368205*b3204*b3205 + 854*b3205 + 0.4736415*b3205^2 + 0.1667095*b3205*
    b3206 + 647*b3206 + 0.3334185*b3206^2 + 0.1966045*b3206*b3207 + 393*b3207
     + 0.3932095*b3207^2 + 0.1547165*b3207*b3208 + 554*b3208 + 0.309433*b3208^2
     + 0.220791*b3208*b3209 + 228*b3209 + 0.441582*b3209^2 + 0.125316*b3209*
    b3210 + 782*b3210 + 0.250632*b3210^2 + 0.18121*b3210*b3211 + 1320*b3211 + 
    0.3624195*b3211^2 + 0.066221*b3211*b3212 + 350*b3212 + 0.1324425*b3212*
    b3212 + 0.0733345*b3212*b3213 + 484*b3213 + 0.146669*b3213^2 + 0.0217312*
    b3213*b3214 + 887*b3214 + 0.0434624*b3214^2 + 0.1683605*b3214*b3215 + 652*
    b3215 + 0.336721*b3215^2 + 0.1902345*b3215*b3216 + 664*b3216 + 0.380469*
    b3216^2 + 0.086956*b3216*b3217 + 719*b3217 + 0.173912*b3217^2 + 0.219648*
    b3217*b3218 + 795*b3218 + 0.4392955*b3218*b3218 + 0.188007*b3218*b3219 + 
    1243*b3219 + 0.3760135*b3219^2 + 0.001962815*b3219*b3220 + 1213*b3220 + 
    0.003925625*b3220^2 + 0.174139*b3220*b3221 + 717*b3221 + 0.348278*b3221^2
     + 0.213717*b3221*b3222 + 430*b3222 + 0.4274335*b3222^2 + 0.2238605*b3222*
    b3223 + 612*b3223 + 0.4477205*b3223^2 + 0.101225*b3223*b3224 + 536*b3224 + 
    0.2024495*b3224*b3224 + 0.02866725*b3224*b3225 + 403*b3225 + 0.0573345*
    b3225^2 + 0.02385705*b3225*b3226 + 432*b3226 + 0.04771415*b3226^2 + 
    0.01356065*b3226*b3227 + 825*b3227 + 0.02712135*b3227^2 + 0.198251*b3227*
    b3228 + 202*b3228 + 0.3965025*b3228^2 + 0.02617375*b3228*b3229 + 288*b3229
     + 0.0523475*b3229^2 + 0.1965325*b3229*b3230 + 1295*b3230 + 0.393065*b3230^
    2 + 0.040576*b3230*b3231 + 120*b3231 + 0.081152*b3231^2 + 0.04595425*b3231*
    b3232 + 389*b3232 + 0.0919085*b3232^2 + 0.191955*b3232*b3233 + 434*b3233 + 
    0.38391*b3233^2 + 0.102068*b3233*b3234 + 1078*b3234 + 0.204136*b3234^2 + 
    0.172694*b3234*b3235 + 1109*b3235 + 0.3453885*b3235^2 + 0.222064*b3235*
    b3236 + 69*b3236 + 0.444128*b3236*b3236 + 0.04346975*b3236*b3237 + 423*
    b3237 + 0.0869395*b3237^2 + 0.1007405*b3237*b3238 + 811*b3238 + 0.201481*
    b3238^2 + 0.116201*b3238*b3239 + 528*b3239 + 0.2324015*b3239^2 + 0.1867775*
    b3239*b3240 + 488*b3240 + 0.3735555*b3240^2 + 0.219093*b3240*b3241 + 66*
    b3241 + 0.4381865*b3241^2 + 0.198363*b3241*b3242 + 924*b3242 + 0.396726*
    b3242*b3242 + 0.0075344*b3242*b3243 + 455*b3243 + 0.01506885*b3243^2 + 
    0.076978*b3243*b3244 + 674*b3244 + 0.1539565*b3244^2 + 0.1432655*b3244*
    b3245 + 246*b3245 + 0.2865315*b3245^2 + 0.192549*b3245*b3246 + 2258*b3246
     + 0.385098*b3246^2 + 0.0481215*b3246*b3247 + 715*b3247 + 0.096243*b3247^2
     + 0.110905*b3247*b3248 + 449*b3248 + 0.2218105*b3248*b3248 + 0.02443645*
    b3248*b3249 + 748*b3249 + 0.04887285*b3249^2 + 0.1915655*b3249*b3250 + 745*
    b3250 + 0.383131*b3250^2 + 0.1820305*b3250*b3251 + 428*b3251 + 0.364061*
    b3251^2 + 0.0572405*b3251*b3252 + 262*b3252 + 0.1144815*b3252^2 + 0.0603895
    *b3252*b3253 + 413*b3253 + 0.1207795*b3253^2 + 0.100905*b3253*b3254 + 459*
    b3254 + 0.2018095*b3254*b3254 + 0.0079174*b3254*b3255 + 245*b3255 + 
    0.01583475*b3255^2 + 0.177574*b3255*b3256 + 407*b3256 + 0.3551475*b3256^2
     + 0.177932*b3256*b3257 + 558*b3257 + 0.3558645*b3257^2 + 0.2028685*b3257*
    b3258 + 354*b3258 + 0.4057375*b3258^2 + 0.1715485*b3258*b3259 + 1201*b3259
     + 0.3430975*b3259^2 + 0.1785395*b3259*b3260 + 247*b3260 + 0.3570795*b3260^
    2 + 0.052174*b3260*b3261 + 484*b3261 + 0.1043485*b3261^2 + 0.1383435*b3261*
    b3262 + 223*b3262 + 0.276687*b3262^2 + 0.1916045*b3262*b3263 + 912*b3263 + 
    0.383209*b3263^2 + 0.2448085*b3263*b3264 + 649*b3264 + 0.4896175*b3264^2 + 
    0.0858525*b3264*b3265 + 287*b3265 + 0.171705*b3265^2 + 0.02991225*b3265*
    b3266 + 508*b3266 + 0.0598245*b3266^2 + 0.0096708*b3266*b3267 + 382*b3267
     + 0.0193416*b3267^2 + 0.024815*b3267*b3268 + 649*b3268 + 0.04963*b3268^2
     + 0.2168845*b3268*b3269 + 780*b3269 + 0.433769*b3269^2 + 0.0714595*b3269*
    b3270 + 66*b3270 + 0.1429185*b3270^2 + 0.2473355*b3270*b3271 + 443*b3271 + 
    0.4946715*b3271^2 + 0.20331*b3271*b3272 + 1268*b3272 + 0.4066205*b3272*
    b3272 + 0.0964475*b3272*b3273 + 544*b3273 + 0.1928955*b3273^2 + 0.2155565*
    b3273*b3274 + 444*b3274 + 0.431113*b3274^2 + 0.03312*b3274*b3275 + 525*
    b3275 + 0.06624*b3275^2 + 0.209528*b3275*b3276 + 642*b3276 + 0.4190565*
    b3276^2 + 0.0633405*b3276*b3277 + 679*b3277 + 0.126681*b3277^2 + 0.223894*
    b3277*b3278 + 419*b3278 + 0.4477875*b3278^2 + 0.0280745*b3278*b3279 + 460*
    b3279 + 0.056149*b3279^2 + 0.1252845*b3279*b3280 + 276*b3280 + 0.2505685*
    b3280^2 + 0.116809*b3280*b3281 + 334*b3281 + 0.233618*b3281^2 + 0.123991*
    b3281*b3282 + 879*b3282 + 0.247982*b3282^2 + 0.03286375*b3282*b3283 + 567*
    b3283 + 0.0657275*b3283^2 + 0.0836845*b3283*b3284 + 486*b3284 + 0.1673685*
    b3284^2 + 0.17117*b3284*b3285 + 525*b3285 + 0.34234*b3285^2 + 0.03679325*
    b3285*b3286 + 377*b3286 + 0.0735865*b3286^2 + 0.204853*b3286*b3287 + 243*
    b3287 + 0.409706*b3287^2 + 0.244016*b3287*b3288 + 424*b3288 + 0.4880325*
    b3288*b3288 + 0.183611*b3288*b3289 + 916*b3289 + 0.367222*b3289^2 + 
    0.089252*b3289*b3290 + 436*b3290 + 0.178504*b3290^2 + 0.00707145*b3290*
    b3291 + 682*b3291 + 0.01414285*b3291^2 + 0.00933705*b3291*b3292 + 660*b3292
     + 0.01867405*b3292^2 + 0.03279725*b3292*b3293 + 324*b3293 + 0.0655945*
    b3293^2 + 0.01463195*b3293*b3294 + 545*b3294 + 0.0292639*b3294^2 + 
    0.2146675*b3294*b3295 + 386*b3295 + 0.4293345*b3295^2 + 0.1561075*b3295*
    b3296 + 781*b3296 + 0.3122155*b3296^2 + 0.1574925*b3296*b3297 + 1258*b3297
     + 0.314985*b3297^2 + 0.2453615*b3297*b3298 + 63*b3298 + 0.490723*b3298^2
     + 0.163726*b3298*b3299 + 438*b3299 + 0.327452*b3299*b3299 + 0.0550885*
    b3299*b3300 + 826*b3300 + 0.110177*b3300^2 + 0.004179325*b3300*b3301 + 518*
    b3301 + 0.00835865*b3301^2 + 0.058568*b3301*b3302 + 828*b3302 + 0.1171355*
    b3302^2 + 0.01517385*b3302*b3303 + 430*b3303 + 0.0303477*b3303^2 + 0.15818*
    b3303*b3304 + 282*b3304 + 0.3163595*b3304^2 + 0.002659925*b3304*b3305 + 551
    *b3305 + 0.00531985*b3305^2 + 0.00528145*b3305*b3306 + 1172*b3306 + 
    0.01056295*b3306^2 + 0.0684515*b3306*b3307 + 751*b3307 + 0.1369025*b3307^2
     + 0.0587695*b3307*b3308 + 871*b3308 + 0.1175385*b3308^2 + 0.21574*b3308*
    b3309 + 642*b3309 + 0.4314805*b3309^2 + 0.1155395*b3309*b3310 + 560*b3310
     + 0.231079*b3310^2 + 0.176801*b3310*b3311 + 524*b3311 + 0.3536025*b3311*
    b3311 + 0.036028*b3311*b3312 + 346*b3312 + 0.072056*b3312^2 + 0.164524*
    b3312*b3313 + 35*b3313 + 0.329048*b3313^2 + 0.007543*b3313*b3314 + 992*
    b3314 + 0.015086*b3314^2 + 0.076754*b3314*b3315 + 357*b3315 + 0.153508*
    b3315^2 + 0.13417*b3315*b3316 + 795*b3316 + 0.2683395*b3316*b3316 + 
    0.196017*b3316*b3317 + 479*b3317 + 0.392034*b3317^2 + 0.084599*b3317*b3318
     + 532*b3318 + 0.169198*b3318^2 + 0.166377*b3318*b3319 + 530*b3319 + 
    0.332754*b3319^2 + 0.0533675*b3319*b3320 + 223*b3320 + 0.106735*b3320^2 + 
    0.09113*b3320*b3321 + 604*b3321 + 0.1822605*b3321*b3321 + 0.1131385*b3321*
    b3322 + 425*b3322 + 0.226277*b3322^2 + 0.1639305*b3322*b3323 + 527*b3323 + 
    0.3278615*b3323^2 + 0.1121915*b3323*b3324 + 197*b3324 + 0.224383*b3324^2 + 
    0.144523*b3324*b3325 + 681*b3325 + 0.2890455*b3325^2 + 0.1862855*b3325*
    b3326 + 281*b3326 + 0.3725715*b3326^2 + 0.0401605*b3326*b3327 + 479*b3327
     + 0.080321*b3327*b3327 + 0.1928245*b3327*b3328 + 608*b3328 + 0.3856495*
    b3328^2 + 0.04775*b3328*b3329 + 566*b3329 + 0.0955*b3329^2 + 0.0990755*
    b3329*b3330 + 943*b3330 + 0.198151*b3330^2 + 0.112497*b3330*b3331 + 573*
    b3331 + 0.224994*b3331^2 + 0.243439*b3331*b3332 + 549*b3332 + 0.486878*
    b3332^2 + 0.1791*b3332*b3333 + 531*b3333 + 0.3582*b3333^2 + 0.191986*b3333*
    b3334 + 779*b3334 + 0.3839725*b3334^2 + 0.20531*b3334*b3335 + 973*b3335 + 
    0.4106205*b3335^2 + 0.184886*b3335*b3336 + 764*b3336 + 0.369772*b3336^2 + 
    0.23414*b3336*b3337 + 537*b3337 + 0.46828*b3337^2 + 0.2004285*b3337*b3338
     + 343*b3338 + 0.4008565*b3338^2 + 0.0576775*b3338*b3339 + 432*b3339 + 
    0.115355*b3339^2 + 0.135505*b3339*b3340 + 1124*b3340 + 0.2710105*b3340^2 + 
    0.222382*b3340*b3341 + 623*b3341 + 0.444764*b3341^2 + 0.155653*b3341*b3342
     + 1062*b3342 + 0.311306*b3342^2 + 0.2369795*b3342*b3343 + 563*b3343 + 
    0.473959*b3343*b3343 + 0.216128*b3343*b3344 + 669*b3344 + 0.432256*b3344^2
     + 0.117408*b3344*b3345 + 229*b3345 + 0.234816*b3345^2 + 0.051206*b3345*
    b3346 + 1141*b3346 + 0.1024115*b3346^2 + 0.1918245*b3346*b3347 + 434*b3347
     + 0.383649*b3347^2 + 0.140468*b3347*b3348 + 510*b3348 + 0.280936*b3348*
    b3348 + 0.00034083*b3348*b3349 + 699*b3349 + 0.00068166*b3349^2 + 0.0235667
    *b3349*b3350 + 457*b3350 + 0.0471334*b3350^2 + 0.1623035*b3350*b3351 + 1007
    *b3351 + 0.3246075*b3351^2 + 0.1055085*b3351*b3352 + 745*b3352 + 0.2110175*
    b3352^2 + 0.058535*b3352*b3353 + 424*b3353 + 0.1170695*b3353^2 + 0.195318*
    b3353*b3354 + 423*b3354 + 0.3906355*b3354*b3354 + 0.2166975*b3354*b3355 + 
    568*b3355 + 0.4333955*b3355^2 + 0.194779*b3355*b3356 + 598*b3356 + 0.389558
    *b3356^2 + 0.2163265*b3356*b3357 + 1066*b3357 + 0.432653*b3357^2 + 
    0.02238865*b3357*b3358 + 225*b3358 + 0.0447773*b3358^2 + 0.131114*b3358*
    b3359 + 534*b3359 + 0.2622275*b3359^2 + 0.039546*b3359*b3360 + 268*b3360 + 
    0.079092*b3360*b3360 + 0.124724*b3360*b3361 + 258*b3361 + 0.249448*b3361^2
     + 0.051181*b3361*b3362 + 520*b3362 + 0.102362*b3362^2 + 0.075225*b3362*
    b3363 + 738*b3363 + 0.15045*b3363^2 + 0.04414625*b3363*b3364 + 396*b3364 + 
    0.0882925*b3364^2 + 0.249537*b3364*b3365 + 367*b3365 + 0.4990735*b3365*
    b3365 + 0.177287*b3365*b3366 + 166*b3366 + 0.354574*b3366^2 + 0.0677375*
    b3366*b3367 + 560*b3367 + 0.1354755*b3367^2 + 0.124661*b3367*b3368 + 137*
    b3368 + 0.249322*b3368^2 + 0.2082865*b3368*b3369 + 567*b3369 + 0.4165735*
    b3369^2 + 0.1958545*b3369*b3370 + 544*b3370 + 0.3917095*b3370^2 + 0.099683*
    b3370*b3371 + 727*b3371 + 0.1993655*b3371*b3371 + 0.03850975*b3371*b3372 + 
    676*b3372 + 0.0770195*b3372^2 + 0.2481725*b3372*b3373 + 198*b3373 + 
    0.4963445*b3373^2 + 0.1169885*b3373*b3374 + 333*b3374 + 0.233977*b3374^2 + 
    0.057509*b3374*b3375 + 773*b3375 + 0.115018*b3375^2 + 0.233245*b3375*b3376
     + 209*b3376 + 0.4664905*b3376^2 + 0.155375*b3376*b3377 + 458*b3377 + 
    0.3107495*b3377*b3377 + 0.04995475*b3377*b3378 + 408*b3378 + 0.0999095*
    b3378^2 + 0.0753855*b3378*b3379 + 533*b3379 + 0.150771*b3379^2 + 0.02024325
    *b3379*b3380 + 1210*b3380 + 0.04048645*b3380^2 + 0.06898*b3380*b3381 + 1100
    *b3381 + 0.13796*b3381^2 + 0.1131175*b3381*b3382 + 914*b3382 + 0.2262345*
    b3382^2 + 0.068898*b3382*b3383 + 801*b3383 + 0.137796*b3383*b3383 + 
    0.129713*b3383*b3384 + 407*b3384 + 0.259426*b3384^2 + 0.0835195*b3384*b3385
     + 449*b3385 + 0.1670385*b3385^2 + 0.2382665*b3385*b3386 + 966*b3386 + 
    0.4765325*b3386^2 + 0.1665155*b3386*b3387 + 616*b3387 + 0.3330315*b3387^2
     + 0.083201*b3387*b3388 + 384*b3388 + 0.1664015*b3388^2 + 0.0204421*b3388*
    b3389 + 657*b3389 + 0.04088415*b3389^2 + 0.137577*b3389*b3390 + 250*b3390
     + 0.275154*b3390^2 + 0.169202*b3390*b3391 + 554*b3391 + 0.338404*b3391^2
     + 0.187368*b3391*b3392 + 388*b3392 + 0.374736*b3392^2 + 0.225784*b3392*
    b3393 + 401*b3393 + 0.451568*b3393^2 + 0.1716285*b3393*b3394 + 457*b3394 + 
    0.343257*b3394^2 + 0.030848*b3394*b3395 + 937*b3395 + 0.061696*b3395*b3395
     + 0.0703675*b3395*b3396 + 974*b3396 + 0.1407345*b3396^2 + 0.096506*b3396*
    b3397 + 762*b3397 + 0.193012*b3397^2 + 0.2370345*b3397*b3398 + 89*b3398 + 
    0.4740685*b3398^2 + 0.2032595*b3398*b3399 + 990*b3399 + 0.4065195*b3399^2
     + 0.1079025*b3399*b3400 + 583*b3400 + 0.2158045*b3400^2 + 0.0262915*b3400*
    b3401 + 486*b3401 + 0.052583*b3401*b3401 + 0.2177205*b3401*b3402 + 854*
    b3402 + 0.435441*b3402^2 + 0.2206675*b3402*b3403 + 437*b3403 + 0.4413345*
    b3403^2 + 0.0142645*b3403*b3404 + 415*b3404 + 0.028529*b3404^2 + 0.1048885*
    b3404*b3405 + 334*b3405 + 0.209777*b3405^2 + 0.0971765*b3405*b3406 + 546*
    b3406 + 0.1943525*b3406^2 + 0.126072*b3406*b3407 + 424*b3407 + 0.2521445*
    b3407*b3407 + 0.00719165*b3407*b3408 + 790*b3408 + 0.0143833*b3408^2 + 
    0.104899*b3408*b3409 + 940*b3409 + 0.2097985*b3409^2 + 0.00325265*b3409*
    b3410 + 670*b3410 + 0.0065053*b3410^2 + 0.02880075*b3410*b3411 + 62*b3411
     + 0.0576015*b3411^2 + 0.101178*b3411*b3412 + 430*b3412 + 0.2023565*b3412^2
     + 0.1390225*b3412*b3413 + 1136*b3413 + 0.2780445*b3413^2 + 0.245261*b3413*
    b3414 + 536*b3414 + 0.490522*b3414^2 + 0.1654865*b3414*b3415 + 637*b3415 + 
    0.330973*b3415^2 + 0.102251*b3415*b3416 + 540*b3416 + 0.2045015*b3416^2 + 
    0.2032395*b3416*b3417 + 639*b3417 + 0.4064795*b3417^2 + 0.0517135*b3417*
    b3418 + 234*b3418 + 0.103427*b3418^2 + 0.07955*b3418*b3419 + 262*b3419 + 
    0.1591*b3419*b3419 + 0.244022*b3419*b3420 + 1213*b3420 + 0.4880445*b3420^2
     + 0.210936*b3420*b3421 + 786*b3421 + 0.421872*b3421^2 + 0.0092182*b3421*
    b3422 + 457*b3422 + 0.01843635*b3422^2 + 0.00138101*b3422*b3423 + 411*b3423
     + 0.002762025*b3423^2 + 0.151794*b3423*b3424 + 631*b3424 + 0.3035875*b3424
    ^2 + 0.2288435*b3424*b3425 + 1249*b3425 + 0.457687*b3425^2 + 0.004776125*
    b3425*b3426 + 269*b3426 + 0.00955225*b3426^2 + 0.070761*b3426*b3427 + 799*
    b3427 + 0.1415225*b3427^2 + 0.1200355*b3427*b3428 + 439*b3428 + 0.240071*
    b3428^2 + 0.101336*b3428*b3429 + 913*b3429 + 0.2026715*b3429^2 + 0.1389035*
    b3429*b3430 + 548*b3430 + 0.2778075*b3430^2 + 0.1476635*b3430*b3431 + 516*
    b3431 + 0.295327*b3431*b3431 + 0.193071*b3431*b3432 + 652*b3432 + 0.386142*
    b3432^2 + 0.249672*b3432*b3433 + 457*b3433 + 0.499344*b3433^2 + 0.0113126*
    b3433*b3434 + 228*b3434 + 0.0226252*b3434^2 + 0.1837885*b3434*b3435 + 397*
    b3435 + 0.367577*b3435^2 + 0.1641245*b3435*b3436 + 410*b3436 + 0.328249*
    b3436^2 + 0.2341095*b3436*b3437 + 798*b3437 + 0.468219*b3437*b3437 + 
    0.176854*b3437*b3438 + 480*b3438 + 0.353708*b3438^2 + 0.130237*b3438*b3439
     + 362*b3439 + 0.260474*b3439^2 + 0.0596575*b3439*b3440 + 681*b3440 + 
    0.119315*b3440^2 + 0.1753215*b3440*b3441 + 389*b3441 + 0.3506425*b3441^2 + 
    0.18047*b3441*b3442 + 521*b3442 + 0.3609405*b3442*b3442 + 0.0322725*b3442*
    b3443 + 192*b3443 + 0.064545*b3443^2 + 0.142296*b3443*b3444 + 567*b3444 + 
    0.284592*b3444^2 + 0.0974825*b3444*b3445 + 562*b3445 + 0.194965*b3445^2 + 
    0.0029893*b3445*b3446 + 545*b3446 + 0.0059786*b3446^2 + 0.0183639*b3446*
    b3447 + 667*b3447 + 0.03672775*b3447^2 + 0.156181*b3447*b3448 + 208*b3448
     + 0.3123615*b3448^2 + 0.0124991*b3448*b3449 + 459*b3449 + 0.02499825*b3449
    ^2 + 0.048122*b3449*b3450 + 858*b3450 + 0.096244*b3450^2 + 0.038898*b3450*
    b3451 + 455*b3451 + 0.077796*b3451^2 + 0.02814475*b3451*b3452 + 621*b3452
     + 0.0562895*b3452^2 + 0.0812195*b3452*b3453 + 564*b3453 + 0.162439*b3453^2
     + 0.243514*b3453*b3454 + 785*b3454 + 0.487028*b3454*b3454 + 0.124574*b3454
    *b3455 + 258*b3455 + 0.2491485*b3455^2 + 0.1866975*b3455*b3456 + 581*b3456
     + 0.373395*b3456^2 + 0.145862*b3456*b3457 + 738*b3457 + 0.2917235*b3457^2
     + 0.248176*b3457*b3458 + 703*b3458 + 0.4963515*b3458^2 + 0.083529*b3458*
    b3459 + 403*b3459 + 0.1670585*b3459^2 + 0.2058425*b3459*b3460 + 717*b3460
     + 0.411685*b3460*b3460 + 0.2177555*b3460*b3461 + 413*b3461 + 0.4355105*
    b3461^2 + 0.135948*b3461*b3462 + 483*b3462 + 0.2718955*b3462^2 + 0.201054*
    b3462*b3463 + 837*b3463 + 0.402108*b3463^2 + 0.1636615*b3463*b3464 + 674*
    b3464 + 0.327323*b3464^2 + 0.1576165*b3464*b3465 + 346*b3465 + 0.3152335*
    b3465^2 + 0.0548165*b3465*b3466 + 1060*b3466 + 0.109633*b3466^2 + 0.0999465
    *b3466*b3467 + 755*b3467 + 0.199893*b3467^2 + 0.0543095*b3467*b3468 + 414*
    b3468 + 0.1086185*b3468^2 + 0.1170735*b3468*b3469 + 400*b3469 + 0.2341465*
    b3469^2 + 0.191791*b3469*b3470 + 1083*b3470 + 0.3835815*b3470^2 + 0.03029*
    b3470*b3471 + 422*b3471 + 0.06058*b3471^2 + 0.0068368*b3471*b3472 + 576*
    b3472 + 0.0136736*b3472*b3472 + 0.0349145*b3472*b3473 + 544*b3473 + 
    0.069829*b3473^2 + 0.01054795*b3473*b3474 + 641*b3474 + 0.02109595*b3474^2
     + 0.0352635*b3474*b3475 + 448*b3475 + 0.070527*b3475^2 + 0.061364*b3475*
    b3476 + 238*b3476 + 0.122728*b3476^2 + 0.089204*b3476*b3477 + 765*b3477 + 
    0.1784085*b3477^2 + 0.2341095*b3477*b3478 + 502*b3478 + 0.468219*b3478*
    b3478 + 0.214797*b3478*b3479 + 601*b3479 + 0.429594*b3479^2 + 0.163563*
    b3479*b3480 + 68*b3480 + 0.327126*b3480^2 + 0.062205*b3480*b3481 + 541*
    b3481 + 0.12441*b3481^2 + 0.0759375*b3481*b3482 + 501*b3482 + 0.1518755*
    b3482^2 + 0.2170915*b3482*b3483 + 943*b3483 + 0.4341835*b3483^2 + 0.0927375
    *b3483*b3484 + 455*b3484 + 0.185475*b3484*b3484 + 0.03857825*b3484*b3485 + 
    640*b3485 + 0.0771565*b3485^2 + 0.183464*b3485*b3486 + 768*b3486 + 
    0.3669275*b3486^2 + 0.24018*b3486*b3487 + 487*b3487 + 0.48036*b3487^2 + 
    0.101642*b3487*b3488 + 535*b3488 + 0.2032835*b3488^2 + 0.001203175*b3488*
    b3489 + 467*b3489 + 0.00240635*b3489^2 + 0.00213115*b3489*b3490 + 966*b3490
     + 0.004262295*b3490^2 + 0.07621*b3490*b3491 + 604*b3491 + 0.1524205*b3491^
    2 + 0.07828*b3491*b3492 + 515*b3492 + 0.1565605*b3492^2 + 0.0143779*b3492*
    b3493 + 428*b3493 + 0.0287558*b3493^2 + 0.2032715*b3493*b3494 + 496*b3494
     + 0.406543*b3494^2 + 0.0872795*b3494*b3495 + 620*b3495 + 0.174559*b3495^2
     + 0.165116*b3495*b3496 + 703*b3496 + 0.330232*b3496*b3496 + 0.1584925*
    b3496*b3497 + 548*b3497 + 0.316985*b3497^2 + 0.19428*b3497*b3498 + 746*
    b3498 + 0.38856*b3498^2 + 0.193863*b3498*b3499 + 509*b3499 + 0.3877255*
    b3499^2 + 0.1176515*b3499*b3500 + 479*b3500 + 0.2353035*b3500^2 + 0.1899065
    *b3500*b3501 + 244*b3501 + 0.379813*b3501*b3501 + 0.0185036*b3501*b3502 + 
    427*b3502 + 0.0370072*b3502^2 + 0.1722115*b3502*b3503 + 706*b3503 + 
    0.3444235*b3503^2 + 0.2006585*b3503*b3504 + 619*b3504 + 0.401317*b3504^2 + 
    0.0881675*b3504*b3505 + 628*b3505 + 0.176335*b3505^2 + 0.17048*b3505*b3506
     + 181*b3506 + 0.3409595*b3506^2 + 0.080159*b3506*b3507 + 329*b3507 + 
    0.1603175*b3507*b3507 + 0.114795*b3507*b3508 + 548*b3508 + 0.2295895*b3508^
    2 + 0.02398255*b3508*b3509 + 740*b3509 + 0.0479651*b3509^2 + 0.1968575*
    b3509*b3510 + 305*b3510 + 0.393715*b3510^2 + 0.2404295*b3510*b3511 + 387*
    b3511 + 0.4808595*b3511^2 + 0.1813305*b3511*b3512 + 289*b3512 + 0.362661*
    b3512^2 + 0.0543095*b3512*b3513 + 557*b3513 + 0.1086185*b3513*b3513 + 
    0.232749*b3513*b3514 + 520*b3514 + 0.465498*b3514^2 + 0.0443055*b3514*b3515
     + 1091*b3515 + 0.088611*b3515^2 + 0.1793145*b3515*b3516 + 743*b3516 + 
    0.358629*b3516^2 + 0.230481*b3516*b3517 + 665*b3517 + 0.4609615*b3517^2 + 
    0.02661125*b3517*b3518 + 621*b3518 + 0.0532225*b3518^2 + 0.228299*b3518*
    b3519 + 884*b3519 + 0.456598*b3519*b3519 + 0.1122135*b3519*b3520 + 651*
    b3520 + 0.224427*b3520^2 + 0.2255445*b3520*b3521 + 768*b3521 + 0.4510885*
    b3521^2 + 0.179209*b3521*b3522 + 260*b3522 + 0.358418*b3522^2 + 0.209134*
    b3522*b3523 + 681*b3523 + 0.418268*b3523^2 + 0.204005*b3523*b3524 + 709*
    b3524 + 0.4080095*b3524^2 + 0.185405*b3524*b3525 + 811*b3525 + 0.3708105*
    b3525*b3525 + 0.18991*b3525*b3526 + 815*b3526 + 0.37982*b3526^2 + 0.090087*
    b3526*b3527 + 407*b3527 + 0.1801745*b3527^2 + 0.119727*b3527*b3528 + 594*
    b3528 + 0.2394545*b3528^2 + 0.227337*b3528*b3529 + 828*b3529 + 0.4546735*
    b3529^2 + 0.1146815*b3529*b3530 + 406*b3530 + 0.2293635*b3530^2 + 0.0103499
    *b3530*b3531 + 1049*b3531 + 0.0206998*b3531^2 + 0.243855*b3531*b3532 + 731*
    b3532 + 0.4877105*b3532^2 + 0.223509*b3532*b3533 + 505*b3533 + 0.4470185*
    b3533^2 + 0.0332835*b3533*b3534 + 412*b3534 + 0.066567*b3534^2 + 0.246658*
    b3534*b3535 + 579*b3535 + 0.493316*b3535^2 + 0.1840565*b3535*b3536 + 392*
    b3536 + 0.3681135*b3536*b3536 + 0.01166935*b3536*b3537 + 1345*b3537 + 
    0.0233387*b3537^2 + 0.17909*b3537*b3538 + 418*b3538 + 0.35818*b3538^2 + 
    0.1183895*b3538*b3539 + 521*b3539 + 0.2367785*b3539^2 + 0.02706925*b3539*
    b3540 + 704*b3540 + 0.0541385*b3540^2 + 0.134163*b3540*b3541 + 250*b3541 + 
    0.268326*b3541^2 + 0.1553675*b3541*b3542 + 395*b3542 + 0.310735*b3542*b3542
     + 0.0722845*b3542*b3543 + 701*b3543 + 0.1445695*b3543^2 + 0.134835*b3543*
    b3544 + 631*b3544 + 0.2696695*b3544^2 + 0.059383*b3544*b3545 + 1096*b3545
     + 0.118766*b3545^2 + 0.0256745*b3545*b3546 + 402*b3546 + 0.051349*b3546^2
     + 0.0907605*b3546*b3547 + 868*b3547 + 0.181521*b3547^2 + 0.03086575*b3547*
    b3548 + 676*b3548 + 0.0617315*b3548^2 + 0.1378765*b3548*b3549 + 407*b3549
     + 0.2757525*b3549^2 + 0.124827*b3549*b3550 + 695*b3550 + 0.2496535*b3550^2
     + 0.088132*b3550*b3551 + 737*b3551 + 0.1762645*b3551^2 + 0.209893*b3551*
    b3552 + 58*b3552 + 0.419786*b3552^2 + 0.117409*b3552*b3553 + 1038*b3553 + 
    0.2348175*b3553^2 + 0.02323705*b3553*b3554 + 345*b3554 + 0.04647415*b3554^2
     + 0.078015*b3554*b3555 + 754*b3555 + 0.1560305*b3555^2 + 0.04587125*b3555*
    b3556 + 542*b3556 + 0.0917425*b3556^2 + 0.1171785*b3556*b3557 + 696*b3557
     + 0.2343575*b3557^2 + 0.128158*b3557*b3558 + 767*b3558 + 0.256316*b3558^2
     + 0.0142169*b3558*b3559 + 440*b3559 + 0.0284338*b3559^2 + 0.156314*b3559*
    b3560 + 1512*b3560 + 0.3126275*b3560^2 + 0.079956*b3560*b3561 + 390*b3561
     + 0.1599115*b3561^2 + 0.030721*b3561*b3562 + 850*b3562 + 0.061442*b3562^2
     + 0.1698465*b3562*b3563 + 899*b3563 + 0.3396925*b3563^2 + 0.241383*b3563*
    b3564 + 987*b3564 + 0.4827665*b3564^2 + 0.189874*b3564*b3565 + 1649*b3565
     + 0.3797475*b3565^2 + 0.114226*b3565*b3566 + 874*b3566 + 0.228452*b3566*
    b3566 + 0.1377995*b3566*b3567 + 516*b3567 + 0.275599*b3567^2 + 0.071556*
    b3567*b3568 + 403*b3568 + 0.1431115*b3568^2 + 0.070061*b3568*b3569 + 542*
    b3569 + 0.140122*b3569^2 + 0.1076725*b3569*b3570 + 415*b3570 + 0.215345*
    b3570^2 + 0.1755735*b3570*b3571 + 531*b3571 + 0.351147*b3571^2 + 0.122918*
    b3571*b3572 + 260*b3572 + 0.2458355*b3572*b3572 + 0.1091915*b3572*b3573 + 
    1190*b3573 + 0.218383*b3573^2 + 0.0285265*b3573*b3574 + 417*b3574 + 
    0.057053*b3574^2 + 0.2272705*b3574*b3575 + 860*b3575 + 0.4545405*b3575^2 + 
    0.0767135*b3575*b3576 + 1334*b3576 + 0.1534275*b3576^2 + 0.097525*b3576*
    b3577 + 407*b3577 + 0.1950505*b3577^2 + 0.235282*b3577*b3578 + 601*b3578 + 
    0.4705645*b3578*b3578 + 0.224181*b3578*b3579 + 836*b3579 + 0.448362*b3579^2
     + 0.031435*b3579*b3580 + 634*b3580 + 0.06287*b3580^2 + 0.2402925*b3580*
    b3581 + 239*b3581 + 0.4805845*b3581^2 + 0.0286935*b3581*b3582 + 603*b3582
     + 0.057387*b3582^2 + 0.01727425*b3582*b3583 + 1514*b3583 + 0.03454855*
    b3583^2 + 0.222866*b3583*b3584 + 236*b3584 + 0.4457325*b3584^2 + 0.140079*
    b3584*b3585 + 379*b3585 + 0.2801575*b3585^2 + 0.240417*b3585*b3586 + 417*
    b3586 + 0.480834*b3586^2 + 0.245939*b3586*b3587 + 609*b3587 + 0.4918775*
    b3587^2 + 0.2495615*b3587*b3588 + 1095*b3588 + 0.4991225*b3588^2 + 
    0.1980275*b3588*b3589 + 585*b3589 + 0.396055*b3589^2 + 0.216341*b3589*b3590
     + 770*b3590 + 0.432682*b3590*b3590 + 0.175159*b3590*b3591 + 270*b3591 + 
    0.3503185*b3591^2 + 0.1349595*b3591*b3592 + 361*b3592 + 0.2699185*b3592^2
     + 0.0674705*b3592*b3593 + 771*b3593 + 0.134941*b3593^2 + 0.0184973*b3593*
    b3594 + 916*b3594 + 0.03699465*b3594^2 + 0.1405575*b3594*b3595 + 845*b3595
     + 0.281115*b3595^2 + 0.1202505*b3595*b3596 + 269*b3596 + 0.240501*b3596*
    b3596 + 0.1630235*b3596*b3597 + 583*b3597 + 0.326047*b3597^2 + 0.2179785*
    b3597*b3598 + 330*b3598 + 0.4359575*b3598^2 + 0.1672355*b3598*b3599 + 529*
    b3599 + 0.3344715*b3599^2 + 0.206998*b3599*b3600 + 694*b3600 + 0.413996*
    b3600^2 + 0.2053185*b3600*b3601 + 644*b3601 + 0.410637*b3601^2 + 
    0.003184875*b3601*b3602 + 788*b3602 + 0.00636975*b3602^2 + 0.2470125*b3602*
    b3603 + 499*b3603 + 0.494025*b3603^2 + 0.068476*b3603*b3604 + 421*b3604 + 
    0.1369515*b3604^2 + 0.0318025*b3604*b3605 + 604*b3605 + 0.063605*b3605^2 + 
    0.2227785*b3605*b3606 + 727*b3606 + 0.4455575*b3606^2 + 0.2306885*b3606*
    b3607 + 682*b3607 + 0.4613775*b3607^2 + 0.228426*b3607*b3608 + 694*b3608 + 
    0.4568525*b3608*b3608 + 0.153597*b3608*b3609 + 682*b3609 + 0.3071935*b3609^
    2 + 0.076455*b3609*b3610 + 607*b3610 + 0.1529095*b3610^2 + 0.2483345*b3610*
    b3611 + 705*b3611 + 0.496669*b3611^2 + 0.1603865*b3611*b3612 + 654*b3612 + 
    0.3207735*b3612^2 + 0.0103942*b3612*b3613 + 634*b3613 + 0.02078845*b3613^2
     + 0.03224625*b3613*b3614 + 587*b3614 + 0.0644925*b3614^2 + 0.0825495*b3614
    *b3615 + 722*b3615 + 0.165099*b3615^2 + 0.01623605*b3615*b3616 + 867*b3616
     + 0.03247205*b3616^2 + 0.091731*b3616*b3617 + 688*b3617 + 0.183462*b3617^2
     + 0.046209*b3617*b3618 + 1037*b3618 + 0.092418*b3618^2 + 0.0406575*b3618*
    b3619 + 743*b3619 + 0.081315*b3619^2 + 0.1779635*b3619*b3620 + 975*b3620 + 
    0.355927*b3620*b3620 + 0.1396415*b3620*b3621 + 395*b3621 + 0.279283*b3621^2
     + 0.00556845*b3621*b3622 + 1226*b3622 + 0.01113685*b3622^2 + 0.2087275*
    b3622*b3623 + 289*b3623 + 0.417455*b3623^2 + 0.0499975*b3623*b3624 + 529*
    b3624 + 0.099995*b3624^2 + 0.1928795*b3624*b3625 + 454*b3625 + 0.3857585*
    b3625^2 + 0.2420475*b3625*b3626 + 513*b3626 + 0.484095*b3626*b3626 + 
    0.0594115*b3626*b3627 + 408*b3627 + 0.1188235*b3627^2 + 0.0168893*b3627*
    b3628 + 437*b3628 + 0.0337786*b3628^2 + 0.1705565*b3628*b3629 + 846*b3629
     + 0.341113*b3629^2 + 0.2409865*b3629*b3630 + 290*b3630 + 0.4819725*b3630^2
     + 0.1385605*b3630*b3631 + 888*b3631 + 0.277121*b3631^2 + 0.147276*b3631*
    b3632 + 199*b3632 + 0.2945525*b3632*b3632 + 0.0574515*b3632*b3633 + 742*
    b3633 + 0.1149025*b3633^2 + 0.1507175*b3633*b3634 + 847*b3634 + 0.301435*
    b3634^2 + 0.1121455*b3634*b3635 + 244*b3635 + 0.224291*b3635^2 + 0.240105*
    b3635*b3636 + 484*b3636 + 0.48021*b3636^2 + 0.025151*b3636*b3637 + 476*
    b3637 + 0.050302*b3637^2 + 0.200055*b3637*b3638 + 91*b3638 + 0.4001105*
    b3638^2 + 0.2090655*b3638*b3639 + 517*b3639 + 0.418131*b3639^2 + 0.029578*
    b3639*b3640 + 736*b3640 + 0.059156*b3640^2 + 0.03429175*b3640*b3641 + 713*
    b3641 + 0.0685835*b3641^2 + 0.07787*b3641*b3642 + 860*b3642 + 0.1557395*
    b3642^2 + 0.0872815*b3642*b3643 + 1246*b3643 + 0.174563*b3643^2 + 0.1980205
    *b3643*b3644 + 680*b3644 + 0.3960415*b3644^2 + 0.16813*b3644*b3645 + 703*
    b3645 + 0.33626*b3645^2 + 0.1055865*b3645*b3646 + 710*b3646 + 0.2111725*
    b3646^2 + 0.203084*b3646*b3647 + 496*b3647 + 0.406168*b3647^2 + 0.02004045*
    b3647*b3648 + 411*b3648 + 0.0400809*b3648^2 + 0.215822*b3648*b3649 + 540*
    b3649 + 0.4316445*b3649*b3649 + 0.0416925*b3649*b3650 + 383*b3650 + 
    0.083385*b3650^2 + 0.147569*b3650*b3651 + 396*b3651 + 0.295138*b3651^2 + 
    0.2168635*b3651*b3652 + 476*b3652 + 0.433727*b3652^2 + 0.00653*b3652*b3653
     + 635*b3653 + 0.01306*b3653^2 + 0.0772095*b3653*b3654 + 499*b3654 + 
    0.1544195*b3654^2 + 0.147136*b3654*b3655 + 836*b3655 + 0.294272*b3655^2 + 
    0.1572855*b3655*b3656 + 517*b3656 + 0.314571*b3656^2 + 0.1073635*b3656*
    b3657 + 426*b3657 + 0.2147275*b3657^2 + 0.002035275*b3657*b3658 + 528*b3658
     + 0.004070545*b3658^2 + 0.131176*b3658*b3659 + 1169*b3659 + 0.262352*b3659
    ^2 + 0.001174645*b3659*b3660 + 480*b3660 + 0.00234929*b3660^2 + 0.1118525*
    b3660*b3661 + 354*b3661 + 0.223705*b3661^2 + 0.2031725*b3661*b3662 + 372*
    b3662 + 0.406345*b3662^2 + 0.2395855*b3662*b3663 + 1081*b3663 + 0.479171*
    b3663^2 + 0.2425105*b3663*b3664 + 800*b3664 + 0.485021*b3664^2 + 0.2124685*
    b3664*b3665 + 511*b3665 + 0.424937*b3665^2 + 0.2010625*b3665*b3666 + 258*
    b3666 + 0.402125*b3666*b3666 + 0.180338*b3666*b3667 + 931*b3667 + 0.360676*
    b3667^2 + 0.201257*b3667*b3668 + 740*b3668 + 0.4025135*b3668^2 + 0.0431645*
    b3668*b3669 + 577*b3669 + 0.086329*b3669^2 + 0.24852*b3669*b3670 + 547*
    b3670 + 0.49704*b3670^2 + 0.121842*b3670*b3671 + 259*b3671 + 0.243684*b3671
    *b3671 + 0.15396*b3671*b3672 + 432*b3672 + 0.3079205*b3672^2 + 0.11978*
    b3672*b3673 + 644*b3673 + 0.23956*b3673^2 + 0.1973505*b3673*b3674 + 796*
    b3674 + 0.3947005*b3674^2 + 0.0917625*b3674*b3675 + 451*b3675 + 0.1835245*
    b3675^2 + 0.1458155*b3675*b3676 + 343*b3676 + 0.291631*b3676*b3676 + 
    0.084438*b3676*b3677 + 974*b3677 + 0.168876*b3677^2 + 0.222378*b3677*b3678
     + 606*b3678 + 0.4447555*b3678^2 + 0.0919055*b3678*b3679 + 531*b3679 + 
    0.183811*b3679^2 + 0.0216853*b3679*b3680 + 388*b3680 + 0.04337065*b3680^2
     + 0.193644*b3680*b3681 + 444*b3681 + 0.3872875*b3681^2 + 0.01565645*b3681*
    b3682 + 537*b3682 + 0.03131285*b3682^2 + 0.227368*b3682*b3683 + 1418*b3683
     + 0.454736*b3683^2 + 0.173969*b3683*b3684 + 545*b3684 + 0.3479375*b3684^2
     + 0.1708765*b3684*b3685 + 694*b3685 + 0.341753*b3685^2 + 0.015399*b3685*
    b3686 + 744*b3686 + 0.03079795*b3686^2 + 0.1186385*b3686*b3687 + 611*b3687
     + 0.2372765*b3687^2 + 0.0798335*b3687*b3688 + 1028*b3688 + 0.1596675*b3688
    ^2 + 0.220027*b3688*b3689 + 569*b3689 + 0.440054*b3689^2 + 0.0749985*b3689*
    b3690 + 266*b3690 + 0.149997*b3690^2 + 0.1432885*b3690*b3691 + 875*b3691 + 
    0.286577*b3691^2 + 0.095568*b3691*b3692 + 1213*b3692 + 0.191136*b3692^2 + 
    0.161483*b3692*b3693 + 412*b3693 + 0.3229665*b3693^2 + 0.2207135*b3693*
    b3694 + 1396*b3694 + 0.4414275*b3694^2 + 0.02681875*b3694*b3695 + 226*b3695
     + 0.0536375*b3695^2 + 0.2081995*b3695*b3696 + 369*b3696 + 0.4163985*b3696^
    2 + 0.173576*b3696*b3697 + 422*b3697 + 0.3471525*b3697^2 + 0.2245295*b3697*
    b3698 + 665*b3698 + 0.449059*b3698^2 + 0.246426*b3698*b3699 + 716*b3699 + 
    0.492852*b3699^2 + 0.0936295*b3699*b3700 + 842*b3700 + 0.1872595*b3700*
    b3700 + 0.1248955*b3700*b3701 + 264*b3701 + 0.2497915*b3701^2 + 0.2199865*
    b3701*b3702 + 456*b3702 + 0.439973*b3702^2 + 0.0521275*b3702*b3703 + 724*
    b3703 + 0.104255*b3703^2 + 0.105706*b3703*b3704 + 733*b3704 + 0.2114115*
    b3704^2 + 0.2364495*b3704*b3705 + 228*b3705 + 0.4728995*b3705^2 + 0.219885*
    b3705*b3706 + 598*b3706 + 0.43977*b3706*b3706 + 0.231568*b3706*b3707 + 1002
    *b3707 + 0.463136*b3707^2 + 0.1846625*b3707*b3708 + 496*b3708 + 0.3693255*
    b3708^2 + 0.213023*b3708*b3709 + 69*b3709 + 0.4260465*b3709^2 + 0.04603225*
    b3709*b3710 + 1090*b3710 + 0.0920645*b3710^2 + 0.191469*b3710*b3711 + 687*
    b3711 + 0.382938*b3711^2 + 0.0404305*b3711*b3712 + 428*b3712 + 0.080861*
    b3712*b3712 + 0.1263375*b3712*b3713 + 407*b3713 + 0.252675*b3713^2 + 
    0.1841605*b3713*b3714 + 619*b3714 + 0.368321*b3714^2 + 0.106395*b3714*b3715
     + 462*b3715 + 0.21279*b3715^2 + 0.176394*b3715*b3716 + 651*b3716 + 
    0.352788*b3716^2 + 0.160204*b3716*b3717 + 496*b3717 + 0.320408*b3717^2 + 
    0.1409025*b3717*b3718 + 524*b3718 + 0.281805*b3718^2 + 0.0501075*b3718*
    b3719 + 590*b3719 + 0.100215*b3719^2 + 0.0949825*b3719*b3720 + 559*b3720 + 
    0.189965*b3720^2 + 0.0807315*b3720*b3721 + 574*b3721 + 0.161463*b3721^2 + 
    0.0279715*b3721*b3722 + 655*b3722 + 0.055943*b3722^2 + 0.092865*b3722*b3723
     + 437*b3723 + 0.1857305*b3723*b3723 + 0.00937655*b3723*b3724 + 496*b3724
     + 0.01875315*b3724^2 + 0.167393*b3724*b3725 + 571*b3725 + 0.334786*b3725^2
     + 0.0439685*b3725*b3726 + 376*b3726 + 0.087937*b3726^2 + 0.2100615*b3726*
    b3727 + 1598*b3727 + 0.4201235*b3727^2 + 0.187122*b3727*b3728 + 755*b3728
     + 0.3742445*b3728^2 + 0.1794465*b3728*b3729 + 433*b3729 + 0.3588925*b3729^
    2 + 0.1927065*b3729*b3730 + 1290*b3730 + 0.385413*b3730^2 + 0.03068475*
    b3730*b3731 + 755*b3731 + 0.0613695*b3731^2 + 0.160315*b3731*b3732 + 688*
    b3732 + 0.3206295*b3732^2 + 0.141565*b3732*b3733 + 180*b3733 + 0.28313*
    b3733^2 + 0.1856725*b3733*b3734 + 562*b3734 + 0.3713445*b3734^2 + 0.042924*
    b3734*b3735 + 450*b3735 + 0.085848*b3735*b3735 + 0.1158815*b3735*b3736 + 
    246*b3736 + 0.231763*b3736^2 + 0.1347485*b3736*b3737 + 436*b3737 + 
    0.2694965*b3737^2 + 0.067762*b3737*b3738 + 441*b3738 + 0.1355245*b3738^2 + 
    0.1552835*b3738*b3739 + 431*b3739 + 0.3105665*b3739^2 + 0.136701*b3739*
    b3740 + 380*b3740 + 0.2734015*b3740^2 + 0.059609*b3740*b3741 + 394*b3741 + 
    0.1192175*b3741*b3741 + 0.242452*b3741*b3742 + 768*b3742 + 0.484904*b3742^2
     + 0.037572*b3742*b3743 + 1045*b3743 + 0.075144*b3743^2 + 0.089584*b3743*
    b3744 + 808*b3744 + 0.1791675*b3744^2 + 0.199031*b3744*b3745 + 512*b3745 + 
    0.398062*b3745^2 + 0.1839835*b3745*b3746 + 637*b3746 + 0.367967*b3746^2 + 
    0.143755*b3746*b3747 + 542*b3747 + 0.28751*b3747*b3747 + 0.1315755*b3747*
    b3748 + 604*b3748 + 0.2631515*b3748^2 + 0.0213687*b3748*b3749 + 1041*b3749
     + 0.0427374*b3749^2 + 0.186364*b3749*b3750 + 598*b3750 + 0.372728*b3750^2
     + 0.02667925*b3750*b3751 + 746*b3751 + 0.0533585*b3751^2 + 0.047066*b3751*
    b3752 + 336*b3752 + 0.094132*b3752^2 + 0.2151725*b3752*b3753 + 384*b3753 + 
    0.4303455*b3753*b3753 + 0.231005*b3753*b3754 + 594*b3754 + 0.4620095*b3754^
    2 + 0.2367615*b3754*b3755 + 441*b3755 + 0.4735225*b3755^2 + 0.244154*b3755*
    b3756 + 453*b3756 + 0.488308*b3756^2 + 0.234083*b3756*b3757 + 737*b3757 + 
    0.468166*b3757^2 + 0.096542*b3757*b3758 + 680*b3758 + 0.1930845*b3758^2 + 
    0.2177855*b3758*b3759 + 1210*b3759 + 0.435571*b3759^2 + 0.245788*b3759*
    b3760 + 368*b3760 + 0.491576*b3760^2 + 0.213519*b3760*b3761 + 502*b3761 + 
    0.4270385*b3761^2 + 0.02877675*b3761*b3762 + 583*b3762 + 0.0575535*b3762^2
     + 0.1193185*b3762*b3763 + 483*b3763 + 0.2386365*b3763^2 + 0.2183585*b3763*
    b3764 + 1092*b3764 + 0.436717*b3764^2 + 0.240328*b3764*b3765 + 1025*b3765
     + 0.4806555*b3765*b3765 + 0.2471995*b3765*b3766 + 240*b3766 + 0.4943985*
    b3766^2 + 0.089289*b3766*b3767 + 480*b3767 + 0.1785775*b3767^2 + 0.1768365*
    b3767*b3768 + 300*b3768 + 0.3536725*b3768^2 + 0.125192*b3768*b3769 + 411*
    b3769 + 0.250384*b3769^2 + 0.1761315*b3769*b3770 + 580*b3770 + 0.352263*
    b3770^2 + 0.0864355*b3770*b3771 + 126*b3771 + 0.1728705*b3771*b3771 + 
    0.139469*b3771*b3772 + 688*b3772 + 0.2789385*b3772^2 + 0.127268*b3772*b3773
     + 435*b3773 + 0.254536*b3773^2 + 0.1161705*b3773*b3774 + 599*b3774 + 
    0.2323405*b3774^2 + 0.052464*b3774*b3775 + 543*b3775 + 0.104928*b3775^2 + 
    0.0152376*b3775*b3776 + 715*b3776 + 0.03047525*b3776^2 + 0.200608*b3776*
    b3777 + 874*b3777 + 0.4012155*b3777^2 + 0.110096*b3777*b3778 + 308*b3778 + 
    0.2201915*b3778^2 + 0.1881685*b3778*b3779 + 236*b3779 + 0.3763375*b3779^2
     + 0.211543*b3779*b3780 + 500*b3780 + 0.4230855*b3780^2 + 0.01428725*b3780*
    b3781 + 426*b3781 + 0.0285745*b3781^2 + 0.2483285*b3781*b3782 + 475*b3782
     + 0.4966565*b3782^2 + 0.20108*b3782*b3783 + 412*b3783 + 0.4021605*b3783*
    b3783 + 0.0740345*b3783*b3784 + 557*b3784 + 0.148069*b3784^2 + 0.138705*
    b3784*b3785 + 509*b3785 + 0.27741*b3785^2 + 0.2148715*b3785*b3786 + 511*
    b3786 + 0.429743*b3786^2 + 1.902265e-5*b3786*b3787 + 64*b3787 + 3.80453e-5*
    b3787^2 + 0.176946*b3787*b3788 + 248*b3788 + 0.3538925*b3788^2 + 0.050214*
    b3788*b3789 + 844*b3789 + 0.100428*b3789*b3789 + 0.073847*b3789*b3790 + 578
    *b3790 + 0.1476935*b3790^2 + 0.02060215*b3790*b3791 + 647*b3791 + 0.0412043
    *b3791^2 + 0.173917*b3791*b3792 + 642*b3792 + 0.3478345*b3792^2 + 0.1574525
    *b3792*b3793 + 574*b3793 + 0.314905*b3793^2 + 0.1676265*b3793*b3794 + 1127*
    b3794 + 0.3352535*b3794^2 + 0.092891*b3794*b3795 + 360*b3795 + 0.1857825*
    b3795*b3795 + 0.0949305*b3795*b3796 + 646*b3796 + 0.189861*b3796^2 + 
    0.1211465*b3796*b3797 + 231*b3797 + 0.242293*b3797^2 + 0.01835325*b3797*
    b3798 + 411*b3798 + 0.0367065*b3798^2 + 0.1690025*b3798*b3799 + 345*b3799
     + 0.338005*b3799^2 + 0.1433735*b3799*b3800 + 550*b3800 + 0.286747*b3800^2
     + 0.1095855*b3800*b3801 + 566*b3801 + 0.219171*b3801*b3801 + 0.235495*
    b3801*b3802 + 234*b3802 + 0.4709895*b3802^2 + 0.164444*b3802*b3803 + 207*
    b3803 + 0.328888*b3803^2 + 0.2085525*b3803*b3804 + 458*b3804 + 0.417105*
    b3804^2 + 0.1358665*b3804*b3805 + 762*b3805 + 0.271733*b3805^2 + 0.03366175
    *b3805*b3806 + 314*b3806 + 0.0673235*b3806^2 + 0.143027*b3806*b3807 + 1493*
    b3807 + 0.2860545*b3807^2 + 0.02792375*b3807*b3808 + 1268*b3808 + 0.0558475
    *b3808^2 + 0.1756835*b3808*b3809 + 556*b3809 + 0.3513675*b3809^2 + 0.231942
    *b3809*b3810 + 606*b3810 + 0.4638835*b3810^2 + 0.1905595*b3810*b3811 + 391*
    b3811 + 0.381119*b3811^2 + 0.2026825*b3811*b3812 + 622*b3812 + 0.405365*
    b3812^2 + 0.181751*b3812*b3813 + 364*b3813 + 0.363502*b3813*b3813 + 
    0.068558*b3813*b3814 + 66*b3814 + 0.137116*b3814^2 + 0.2445575*b3814*b3815
     + 748*b3815 + 0.4891145*b3815^2 + 0.123305*b3815*b3816 + 641*b3816 + 
    0.24661*b3816^2 + 0.171974*b3816*b3817 + 477*b3817 + 0.343948*b3817^2 + 
    0.142878*b3817*b3818 + 618*b3818 + 0.285756*b3818*b3818 + 0.162124*b3818*
    b3819 + 612*b3819 + 0.324248*b3819^2 + 0.2447545*b3819*b3820 + 901*b3820 + 
    0.4895095*b3820^2 + 0.072298*b3820*b3821 + 820*b3821 + 0.144596*b3821^2 + 
    0.1601105*b3821*b3822 + 652*b3822 + 0.3202205*b3822^2 + 0.211441*b3822*
    b3823 + 581*b3823 + 0.4228825*b3823^2 + 0.08517*b3823*b3824 + 720*b3824 + 
    0.17034*b3824*b3824 + 0.190043*b3824*b3825 + 412*b3825 + 0.3800865*b3825^2
     + 0.0882075*b3825*b3826 + 596*b3826 + 0.176415*b3826^2 + 0.195424*b3826*
    b3827 + 681*b3827 + 0.3908475*b3827^2 + 0.0638395*b3827*b3828 + 381*b3828
     + 0.1276785*b3828^2 + 0.200619*b3828*b3829 + 508*b3829 + 0.4012385*b3829^2
     + 0.1617745*b3829*b3830 + 220*b3830 + 0.3235495*b3830^2 + 0.241861*b3830*
    b3831 + 722*b3831 + 0.4837225*b3831^2 + 0.052128*b3831*b3832 + 689*b3832 + 
    0.1042555*b3832^2 + 0.2489775*b3832*b3833 + 640*b3833 + 0.497955*b3833^2 + 
    0.0878515*b3833*b3834 + 807*b3834 + 0.175703*b3834^2 + 0.0470345*b3834*
    b3835 + 449*b3835 + 0.094069*b3835^2 + 0.209803*b3835*b3836 + 544*b3836 + 
    0.419606*b3836*b3836 + 0.209079*b3836*b3837 + 657*b3837 + 0.4181585*b3837^2
     + 0.100557*b3837*b3838 + 973*b3838 + 0.201114*b3838^2 + 0.01736665*b3838*
    b3839 + 252*b3839 + 0.03473325*b3839^2 + 0.0795535*b3839*b3840 + 260*b3840
     + 0.159107*b3840^2 + 0.1188765*b3840*b3841 + 397*b3841 + 0.237753*b3841^2
     + 0.2075975*b3841*b3842 + 922*b3842 + 0.4151945*b3842*b3842 + 0.121051*
    b3842*b3843 + 592*b3843 + 0.242102*b3843^2 + 0.1248105*b3843*b3844 + 489*
    b3844 + 0.249621*b3844^2 + 0.219849*b3844*b3845 + 642*b3845 + 0.4396985*
    b3845^2 + 0.237963*b3845*b3846 + 449*b3846 + 0.475926*b3846^2 + 0.04001525*
    b3846*b3847 + 960*b3847 + 0.0800305*b3847^2 + 0.0813205*b3847*b3848 + 1773*
    b3848 + 0.1626415*b3848^2 + 0.1931505*b3848*b3849 + 307*b3849 + 0.386301*
    b3849^2 + 0.116277*b3849*b3850 + 657*b3850 + 0.2325545*b3850^2 + 0.1302485*
    b3850*b3851 + 604*b3851 + 0.260497*b3851^2 + 0.220152*b3851*b3852 + 603*
    b3852 + 0.440304*b3852^2 + 0.137336*b3852*b3853 + 743*b3853 + 0.274672*
    b3853^2 + 0.203817*b3853*b3854 + 552*b3854 + 0.407634*b3854^2 + 0.0963645*
    b3854*b3855 + 508*b3855 + 0.192729*b3855^2 + 0.18685*b3855*b3856 + 223*
    b3856 + 0.3737005*b3856^2 + 0.02753425*b3856*b3857 + 622*b3857 + 0.0550685*
    b3857^2 + 0.1327515*b3857*b3858 + 831*b3858 + 0.265503*b3858^2 + 0.093603*
    b3858*b3859 + 669*b3859 + 0.187206*b3859*b3859 + 0.1482035*b3859*b3860 + 
    595*b3860 + 0.2964075*b3860^2 + 0.071421*b3860*b3861 + 803*b3861 + 0.142842
    *b3861^2 + 0.00079055*b3861*b3862 + 441*b3862 + 0.001581095*b3862^2 + 
    0.2031695*b3862*b3863 + 416*b3863 + 0.406339*b3863^2 + 0.193482*b3863*b3864
     + 710*b3864 + 0.386964*b3864^2 + 0.1325075*b3864*b3865 + 1018*b3865 + 
    0.265015*b3865*b3865 + 0.052857*b3865*b3866 + 647*b3866 + 0.105714*b3866^2
     + 0.1603205*b3866*b3867 + 965*b3867 + 0.320641*b3867^2 + 0.1042795*b3867*
    b3868 + 600*b3868 + 0.2085585*b3868^2 + 0.1302045*b3868*b3869 + 686*b3869
     + 0.260409*b3869^2 + 0.0898925*b3869*b3870 + 834*b3870 + 0.1797845*b3870^2
     + 0.1014825*b3870*b3871 + 336*b3871 + 0.202965*b3871*b3871 + 0.170543*
    b3871*b3872 + 409*b3872 + 0.341086*b3872^2 + 0.2226015*b3872*b3873 + 937*
    b3873 + 0.4452025*b3873^2 + 0.013047*b3873*b3874 + 765*b3874 + 0.026094*
    b3874^2 + 0.084858*b3874*b3875 + 584*b3875 + 0.1697165*b3875^2 + 0.1708025*
    b3875*b3876 + 1024*b3876 + 0.341605*b3876^2 + 0.1582975*b3876*b3877 + 240*
    b3877 + 0.3165945*b3877*b3877 + 0.0175172*b3877*b3878 + 601*b3878 + 
    0.0350344*b3878^2 + 0.196*b3878*b3879 + 380*b3879 + 0.3920005*b3879^2 + 
    0.1326355*b3879*b3880 + 859*b3880 + 0.2652705*b3880^2 + 0.03430575*b3880*
    b3881 + 830*b3881 + 0.0686115*b3881^2 + 0.177801*b3881*b3882 + 216*b3882 + 
    0.3556025*b3882^2 + 0.0161571*b3882*b3883 + 275*b3883 + 0.0323142*b3883^2
     + 0.01055735*b3883*b3884 + 266*b3884 + 0.0211147*b3884^2 + 0.176115*b3884*
    b3885 + 640*b3885 + 0.35223*b3885^2 + 0.0168867*b3885*b3886 + 655*b3886 + 
    0.03377335*b3886^2 + 0.035162*b3886*b3887 + 889*b3887 + 0.070324*b3887^2 + 
    0.0424585*b3887*b3888 + 1941*b3888 + 0.084917*b3888*b3888 + 0.1830355*b3888
    *b3889 + 790*b3889 + 0.3660715*b3889^2 + 0.1862535*b3889*b3890 + 1228*b3890
     + 0.3725065*b3890^2 + 0.027681*b3890*b3891 + 670*b3891 + 0.055362*b3891^2
     + 0.035747*b3891*b3892 + 766*b3892 + 0.071494*b3892^2 + 0.098383*b3892*
    b3893 + 360*b3893 + 0.1967655*b3893^2 + 0.0488975*b3893*b3894 + 1201*b3894
     + 0.097795*b3894^2 + 0.087049*b3894*b3895 + 869*b3895 + 0.174098*b3895^2
     + 0.1816375*b3895*b3896 + 472*b3896 + 0.3632745*b3896^2 + 0.1420105*b3896*
    b3897 + 221*b3897 + 0.2840205*b3897^2 + 0.231612*b3897*b3898 + 543*b3898 + 
    0.4632245*b3898^2 + 0.1703985*b3898*b3899 + 831*b3899 + 0.3407975*b3899^2
     + 0.159116*b3899*b3900 + 449*b3900 + 0.318232*b3900*b3900 + 0.01286625*
    b3900*b3901 + 409*b3901 + 0.0257325*b3901^2 + 0.220919*b3901*b3902 + 616*
    b3902 + 0.441838*b3902^2 + 0.201725*b3902*b3903 + 374*b3903 + 0.4034495*
    b3903^2 + 0.1735605*b3903*b3904 + 600*b3904 + 0.347121*b3904^2 + 0.22628*
    b3904*b3905 + 404*b3905 + 0.4525605*b3905^2 + 0.1183435*b3905*b3906 + 1047*
    b3906 + 0.236687*b3906^2 + 0.132232*b3906*b3907 + 431*b3907 + 0.2644635*
    b3907^2 + 0.1600225*b3907*b3908 + 608*b3908 + 0.320045*b3908^2 + 0.0716455*
    b3908*b3909 + 827*b3909 + 0.143291*b3909^2 + 0.049959*b3909*b3910 + 477*
    b3910 + 0.099918*b3910^2 + 0.2071835*b3910*b3911 + 351*b3911 + 0.4143675*
    b3911*b3911 + 0.1299545*b3911*b3912 + 559*b3912 + 0.259909*b3912^2 + 
    0.1492595*b3912*b3913 + 244*b3913 + 0.2985185*b3913^2 + 0.214437*b3913*
    b3914 + 224*b3914 + 0.4288745*b3914^2 + 0.1514305*b3914*b3915 + 1105*b3915
     + 0.302861*b3915^2 + 0.0769485*b3915*b3916 + 525*b3916 + 0.1538975*b3916^2
     + 0.085734*b3916*b3917 + 945*b3917 + 0.171468*b3917*b3917 + 0.096967*b3917
    *b3918 + 467*b3918 + 0.1939335*b3918^2 + 0.179866*b3918*b3919 + 1125*b3919
     + 0.359732*b3919^2 + 0.083512*b3919*b3920 + 1307*b3920 + 0.1670245*b3920^2
     + 0.068101*b3920*b3921 + 655*b3921 + 0.1362015*b3921^2 + 0.240551*b3921*
    b3922 + 351*b3922 + 0.481102*b3922^2 + 0.147132*b3922*b3923 + 841*b3923 + 
    0.294264*b3923*b3923 + 0.097697*b3923*b3924 + 487*b3924 + 0.195394*b3924^2
     + 0.1540015*b3924*b3925 + 326*b3925 + 0.308003*b3925^2 + 0.062123*b3925*
    b3926 + 439*b3926 + 0.1242465*b3926^2 + 0.116776*b3926*b3927 + 372*b3927 + 
    0.2335525*b3927^2 + 0.096284*b3927*b3928 + 702*b3928 + 0.1925675*b3928^2 + 
    0.0878005*b3928*b3929 + 634*b3929 + 0.175601*b3929*b3929 + 0.227816*b3929*
    b3930 + 1107*b3930 + 0.4556325*b3930^2 + 0.1713205*b3930*b3931 + 996*b3931
     + 0.3426405*b3931^2 + 0.240848*b3931*b3932 + 225*b3932 + 0.481696*b3932^2
     + 0.17856*b3932*b3933 + 1214*b3933 + 0.35712*b3933^2 + 0.1967375*b3933*
    b3934 + 469*b3934 + 0.3934745*b3934^2 + 0.1548965*b3934*b3935 + 246*b3935
     + 0.309793*b3935*b3935 + 0.1544175*b3935*b3936 + 718*b3936 + 0.3088345*
    b3936^2 + 0.104041*b3936*b3937 + 691*b3937 + 0.208082*b3937^2 + 0.0865435*
    b3937*b3938 + 727*b3938 + 0.1730865*b3938^2 + 0.02308505*b3938*b3939 + 378*
    b3939 + 0.0461701*b3939^2 + 0.090239*b3939*b3940 + 456*b3940 + 0.1804775*
    b3940^2 + 0.151928*b3940*b3941 + 630*b3941 + 0.303856*b3941*b3941 + 
    0.2499435*b3941*b3942 + 213*b3942 + 0.4998865*b3942^2 + 0.03691725*b3942*
    b3943 + 469*b3943 + 0.0738345*b3943^2 + 0.1300845*b3943*b3944 + 624*b3944
     + 0.2601695*b3944^2 + 0.068935*b3944*b3945 + 544*b3945 + 0.1378695*b3945^2
     + 0.222289*b3945*b3946 + 848*b3946 + 0.444578*b3946^2 + 0.1912925*b3946*
    b3947 + 464*b3947 + 0.382585*b3947*b3947 + 0.0765805*b3947*b3948 + 885*
    b3948 + 0.1531605*b3948^2 + 0.1005*b3948*b3949 + 655*b3949 + 0.2010005*
    b3949^2 + 0.1015445*b3949*b3950 + 270*b3950 + 0.203089*b3950^2 + 0.0729635*
    b3950*b3951 + 79*b3951 + 0.145927*b3951^2 + 0.055478*b3951*b3952 + 497*
    b3952 + 0.1109565*b3952*b3952 + 0.15567*b3952*b3953 + 436*b3953 + 0.31134*
    b3953^2 + 0.0941225*b3953*b3954 + 667*b3954 + 0.188245*b3954^2 + 0.0657815*
    b3954*b3955 + 240*b3955 + 0.1315635*b3955^2 + 0.1642765*b3955*b3956 + 438*
    b3956 + 0.328553*b3956^2 + 0.03875575*b3956*b3957 + 377*b3957 + 0.0775115*
    b3957^2 + 0.0984265*b3957*b3958 + 832*b3958 + 0.1968525*b3958^2 + 0.2122585
    *b3958*b3959 + 243*b3959 + 0.424517*b3959^2 + 0.02997775*b3959*b3960 + 886*
    b3960 + 0.0599555*b3960^2 + 0.06602*b3960*b3961 + 600*b3961 + 0.1320395*
    b3961^2 + 0.063462*b3961*b3962 + 427*b3962 + 0.1269245*b3962^2 + 0.0578065*
    b3962*b3963 + 588*b3963 + 0.1156135*b3963^2 + 0.0094861*b3963*b3964 + 570*
    b3964 + 0.01897215*b3964^2 + 0.174661*b3964*b3965 + 555*b3965 + 0.349322*
    b3965^2 + 0.091835*b3965*b3966 + 377*b3966 + 0.1836695*b3966^2 + 0.0901135*
    b3966*b3967 + 240*b3967 + 0.1802265*b3967^2 + 0.01412745*b3967*b3968 + 250*
    b3968 + 0.02825485*b3968^2 + 0.2435825*b3968*b3969 + 1034*b3969 + 0.4871645
    *b3969^2 + 0.15972*b3969*b3970 + 403*b3970 + 0.31944*b3970^2 + 0.219733*
    b3970*b3971 + 486*b3971 + 0.4394665*b3971^2 + 0.058427*b3971*b3972 + 1017*
    b3972 + 0.116854*b3972^2 + 0.1812165*b3972*b3973 + 434*b3973 + 0.362433*
    b3973^2 + 0.2187505*b3973*b3974 + 413*b3974 + 0.4375015*b3974^2 + 
    0.00589545*b3974*b3975 + 445*b3975 + 0.0117909*b3975^2 + 0.2385445*b3975*
    b3976 + 653*b3976 + 0.4770885*b3976^2 + 0.1316175*b3976*b3977 + 858*b3977
     + 0.263235*b3977^2 + 0.196758*b3977*b3978 + 423*b3978 + 0.3935165*b3978^2
     + 0.1153285*b3978*b3979 + 561*b3979 + 0.2306575*b3979^2 + 0.2446485*b3979*
    b3980 + 901*b3980 + 0.489297*b3980^2 + 0.0889765*b3980*b3981 + 572*b3981 + 
    0.1779525*b3981*b3981 + 0.0799875*b3981*b3982 + 748*b3982 + 0.1599755*b3982
    ^2 + 0.04448*b3982*b3983 + 824*b3983 + 0.08896*b3983^2 + 0.181326*b3983*
    b3984 + 522*b3984 + 0.3626515*b3984^2 + 0.2391905*b3984*b3985 + 801*b3985
     + 0.478381*b3985^2 + 0.0579765*b3985*b3986 + 633*b3986 + 0.115953*b3986^2
     + 0.247291*b3986*b3987 + 562*b3987 + 0.494582*b3987*b3987 + 0.070424*b3987
    *b3988 + 426*b3988 + 0.140848*b3988^2 + 0.1059395*b3988*b3989 + 816*b3989
     + 0.211879*b3989^2 + 0.1617685*b3989*b3990 + 255*b3990 + 0.323537*b3990^2
     + 0.209766*b3990*b3991 + 367*b3991 + 0.4195325*b3991^2 + 0.063909*b3991*
    b3992 + 494*b3992 + 0.1278175*b3992^2 + 0.2248505*b3992*b3993 + 514*b3993
     + 0.4497005*b3993^2 + 0.2296325*b3993*b3994 + 244*b3994 + 0.4592645*b3994^
    2 + 0.13198*b3994*b3995 + 418*b3995 + 0.2639605*b3995^2 + 0.00776735*b3995*
    b3996 + 380*b3996 + 0.01553475*b3996^2 + 0.03572125*b3996*b3997 + 697*b3997
     + 0.0714425*b3997^2 + 0.1569405*b3997*b3998 + 766*b3998 + 0.313881*b3998^2
     + 0.2174865*b3998*b3999 + 725*b3999 + 0.434973*b3999*b3999 + 0.237307*
    b3999*b4000 + 213*b4000 + 0.4746145*b4000^2 + 0.111645*b4000*b4001 + 1102*
    b4001 + 0.22329*b4001^2 + 0.13552*b4001*b4002 + 225*b4002 + 0.27104*b4002^2
     + 0.2210805*b4002*b4003 + 846*b4003 + 0.4421605*b4003^2 + 0.1206025*b4003*
    b4004 + 1036*b4004 + 0.2412055*b4004^2 + 0.037258*b4004*b4005 + 431*b4005
     + 0.074516*b4005*b4005 + 0.142505*b4005*b4006 + 243*b4006 + 0.2850105*
    b4006^2 + 0.04799225*b4006*b4007 + 751*b4007 + 0.0959845*b4007^2 + 0.102359
    *b4007*b4008 + 463*b4008 + 0.2047185*b4008^2 + 0.211738*b4008*b4009 + 1485*
    b4009 + 0.423476*b4009^2 + 0.02164925*b4009*b4010 + 383*b4010 + 0.04329855*
    b4010^2 + 0.1692935*b4010*b4011 + 1007*b4011 + 0.338587*b4011^2 + 
    0.01507675*b4011*b4012 + 1323*b4012 + 0.0301535*b4012^2 + 0.244164*b4012*
    b4013 + 464*b4013 + 0.488328*b4013^2 + 0.03020475*b4013*b4014 + 247*b4014
     + 0.0604095*b4014^2 + 0.058424*b4014*b4015 + 383*b4015 + 0.116848*b4015^2
     + 0.053937*b4015*b4016 + 547*b4016 + 0.107874*b4016^2 + 0.076754*b4016*
    b4017 + 518*b4017 + 0.1535085*b4017*b4017 + 0.2008515*b4017*b4018 + 550*
    b4018 + 0.401703*b4018^2 + 0.092544*b4018*b4019 + 212*b4019 + 0.185088*
    b4019^2 + 0.02754625*b4019*b4020 + 484*b4020 + 0.0550925*b4020^2 + 0.069339
    *b4020*b4021 + 236*b4021 + 0.1386775*b4021^2 + 0.115203*b4021*b4022 + 392*
    b4022 + 0.230406*b4022^2 + 0.2101685*b4022*b4023 + 1525*b4023 + 0.4203375*
    b4023^2 + 0.1338585*b4023*b4024 + 390*b4024 + 0.2677165*b4024^2 + 0.177634*
    b4024*b4025 + 244*b4025 + 0.355268*b4025^2 + 0.072345*b4025*b4026 + 380*
    b4026 + 0.1446905*b4026^2 + 0.117098*b4026*b4027 + 491*b4027 + 0.2341955*
    b4027^2 + 0.212954*b4027*b4028 + 812*b4028 + 0.425908*b4028^2 + 0.153161*
    b4028*b4029 + 440*b4029 + 0.306322*b4029*b4029 + 0.2295505*b4029*b4030 + 
    572*b4030 + 0.4591005*b4030^2 + 0.2300505*b4030*b4031 + 780*b4031 + 
    0.460101*b4031^2 + 0.054447*b4031*b4032 + 931*b4032 + 0.108894*b4032^2 + 
    0.111739*b4032*b4033 + 981*b4033 + 0.2234785*b4033^2 + 0.0139698*b4033*
    b4034 + 1120*b4034 + 0.0279396*b4034^2 + 0.116212*b4034*b4035 + 396*b4035
     + 0.2324235*b4035*b4035 + 0.03001125*b4035*b4036 + 512*b4036 + 0.0600225*
    b4036^2 + 0.1776155*b4036*b4037 + 240*b4037 + 0.3552305*b4037^2 + 0.236077*
    b4037*b4038 + 622*b4038 + 0.472154*b4038^2 + 0.114875*b4038*b4039 + 926*
    b4039 + 0.2297505*b4039^2 + 0.1391605*b4039*b4040 + 438*b4040 + 0.2783215*
    b4040^2 + 0.2035425*b4040*b4041 + 499*b4041 + 0.4070855*b4041^2 + 
    0.01042695*b4041*b4042 + 429*b4042 + 0.02085385*b4042^2 + 0.088611*b4042*
    b4043 + 328*b4043 + 0.177222*b4043^2 + 0.245994*b4043*b4044 + 124*b4044 + 
    0.4919875*b4044^2 + 0.004208925*b4044*b4045 + 430*b4045 + 0.00841785*b4045^
    2 + 0.0411765*b4045*b4046 + 440*b4046 + 0.082353*b4046^2 + 0.1104325*b4046*
    b4047 + 434*b4047 + 0.2208655*b4047^2 + 0.2033465*b4047*b4048 + 604*b4048
     + 0.4066925*b4048^2 + 0.0646835*b4048*b4049 + 739*b4049 + 0.129367*b4049^2
     + 0.1787065*b4049*b4050 + 783*b4050 + 0.3574135*b4050^2 + 0.164088*b4050*
    b4051 + 1196*b4051 + 0.3281765*b4051^2 + 0.140284*b4051*b4052 + 476*b4052
     + 0.280568*b4052^2 + 0.02686425*b4052*b4053 + 640*b4053 + 0.0537285*b4053^
    2 + 0.226954*b4053*b4054 + 236*b4054 + 0.4539085*b4054^2 + 0.1316255*b4054*
    b4055 + 64*b4055 + 0.263251*b4055^2 + 0.2221675*b4055*b4056 + 569*b4056 + 
    0.4443345*b4056^2 + 0.0997355*b4056*b4057 + 356*b4057 + 0.199471*b4057^2 + 
    0.2144205*b4057*b4058 + 719*b4058 + 0.428841*b4058^2 + 0.2152615*b4058*
    b4059 + 752*b4059 + 0.430523*b4059*b4059 + 0.10145*b4059*b4060 + 542*b4060
     + 0.2028995*b4060^2 + 0.1628585*b4060*b4061 + 612*b4061 + 0.3257165*b4061^
    2 + 0.1451745*b4061*b4062 + 336*b4062 + 0.2903485*b4062^2 + 0.119821*b4062*
    b4063 + 416*b4063 + 0.2396415*b4063^2 + 0.02872175*b4063*b4064 + 454*b4064
     + 0.0574435*b4064^2 + 0.248837*b4064*b4065 + 408*b4065 + 0.497674*b4065*
    b4065 + 0.234166*b4065*b4066 + 447*b4066 + 0.4683315*b4066^2 + 0.0586805*
    b4066*b4067 + 693*b4067 + 0.1173615*b4067^2 + 0.0090885*b4067*b4068 + 433*
    b4068 + 0.01817695*b4068^2 + 0.1364685*b4068*b4069 + 651*b4069 + 0.2729365*
    b4069^2 + 0.196021*b4069*b4070 + 366*b4070 + 0.392042*b4070^2 + 0.2168975*
    b4070*b4071 + 798*b4071 + 0.433795*b4071*b4071 + 0.1673235*b4071*b4072 + 
    595*b4072 + 0.3346465*b4072^2 + 0.1405155*b4072*b4073 + 510*b4073 + 
    0.281031*b4073^2 + 0.0819485*b4073*b4074 + 300*b4074 + 0.163897*b4074^2 + 
    0.097802*b4074*b4075 + 1718*b4075 + 0.195604*b4075^2 + 0.04512075*b4075*
    b4076 + 463*b4076 + 0.0902415*b4076^2 + 0.1204155*b4076*b4077 + 506*b4077
     + 0.2408305*b4077^2 + 0.035844*b4077*b4078 + 434*b4078 + 0.071688*b4078^2
     + 0.2156875*b4078*b4079 + 321*b4079 + 0.431375*b4079^2 + 0.2371155*b4079*
    b4080 + 627*b4080 + 0.4742315*b4080^2 + 0.00840565*b4080*b4081 + 408*b4081
     + 0.01681135*b4081^2 + 0.0977705*b4081*b4082 + 852*b4082 + 0.195541*b4082^
    2 + 0.090491*b4082*b4083 + 230*b4083 + 0.180982*b4083*b4083 + 0.2183005*
    b4083*b4084 + 567*b4084 + 0.436601*b4084^2 + 0.161135*b4084*b4085 + 665*
    b4085 + 0.32227*b4085^2 + 0.128236*b4085*b4086 + 839*b4086 + 0.2564715*
    b4086^2 + 0.2414965*b4086*b4087 + 620*b4087 + 0.482993*b4087^2 + 0.134983*
    b4087*b4088 + 533*b4088 + 0.269966*b4088^2 + 0.108108*b4088*b4089 + 415*
    b4089 + 0.216216*b4089^2 + 0.073244*b4089*b4090 + 615*b4090 + 0.1464885*
    b4090^2 + 0.190866*b4090*b4091 + 453*b4091 + 0.3817325*b4091^2 + 0.141093*
    b4091*b4092 + 609*b4092 + 0.282186*b4092^2 + 0.184634*b4092*b4093 + 229*
    b4093 + 0.3692685*b4093^2 + 0.0799765*b4093*b4094 + 390*b4094 + 0.1599535*
    b4094^2 + 0.143244*b4094*b4095 + 418*b4095 + 0.2864885*b4095^2 + 0.150689*
    b4095*b4096 + 1293*b4096 + 0.3013775*b4096^2 + 0.0890675*b4096*b4097 + 567*
    b4097 + 0.178135*b4097^2 + 0.2437825*b4097*b4098 + 248*b4098 + 0.4875655*
    b4098^2 + 0.2047935*b4098*b4099 + 82*b4099 + 0.4095865*b4099^2 + 0.0868905*
    b4099*b4100 + 774*b4100 + 0.173781*b4100*b4100 + 0.1712365*b4100*b4101 + 
    621*b4101 + 0.3424735*b4101^2 + 0.018122*b4101*b4102 + 538*b4102 + 0.036244
    *b4102^2 + 0.214549*b4102*b4103 + 610*b4103 + 0.429098*b4103^2 + 0.13952*
    b4103*b4104 + 284*b4104 + 0.27904*b4104^2 + 0.129212*b4104*b4105 + 407*
    b4105 + 0.258424*b4105*b4105 + 0.2275545*b4105*b4106 + 437*b4106 + 0.455109
    *b4106^2 + 0.166868*b4106*b4107 + 525*b4107 + 0.3337355*b4107^2 + 0.130513*
    b4107*b4108 + 610*b4108 + 0.2610255*b4108^2 + 0.155003*b4108*b4109 + 432*
    b4109 + 0.310006*b4109^2 + 0.1584895*b4109*b4110 + 242*b4110 + 0.316979*
    b4110^2 + 0.1020125*b4110*b4111 + 675*b4111 + 0.2040255*b4111*b4111 + 
    0.249436*b4111*b4112 + 734*b4112 + 0.4988725*b4112^2 + 0.229122*b4112*b4113
     + 1649*b4113 + 0.4582445*b4113^2 + 0.1134815*b4113*b4114 + 885*b4114 + 
    0.226963*b4114^2 + 0.0109386*b4114*b4115 + 1037*b4115 + 0.02187715*b4115^2
     + 0.06993*b4115*b4116 + 556*b4116 + 0.13986*b4116^2 + 0.2456705*b4116*
    b4117 + 455*b4117 + 0.4913415*b4117*b4117 + 0.002623075*b4117*b4118 + 523*
    b4118 + 0.00524615*b4118^2 + 0.2335725*b4118*b4119 + 303*b4119 + 0.467145*
    b4119^2 + 0.009509*b4119*b4120 + 634*b4120 + 0.019018*b4120^2 + 0.125683*
    b4120*b4121 + 250*b4121 + 0.2513665*b4121^2 + 0.127404*b4121*b4122 + 1491*
    b4122 + 0.2548075*b4122^2 + 0.003428625*b4122*b4123 + 566*b4123 + 
    0.00685725*b4123^2 + 0.1374935*b4123*b4124 + 720*b4124 + 0.274987*b4124^2
     + 0.2281315*b4124*b4125 + 96*b4125 + 0.4562635*b4125^2 + 0.1246285*b4125*
    b4126 + 540*b4126 + 0.249257*b4126^2 + 0.1393275*b4126*b4127 + 573*b4127 + 
    0.2786545*b4127^2 + 0.034847*b4127*b4128 + 414*b4128 + 0.069694*b4128^2 + 
    0.190288*b4128*b4129 + 657*b4129 + 0.3805755*b4129*b4129 + 0.211575*b4129*
    b4130 + 232*b4130 + 0.42315*b4130^2 + 0.171967*b4130*b4131 + 276*b4131 + 
    0.3439335*b4131^2 + 0.1718685*b4131*b4132 + 619*b4132 + 0.3437375*b4132^2
     + 0.119175*b4132*b4133 + 300*b4133 + 0.2383505*b4133^2 + 0.1186155*b4133*
    b4134 + 455*b4134 + 0.2372305*b4134^2 + 0.239123*b4134*b4135 + 720*b4135 + 
    0.478246*b4135^2 + 0.1252825*b4135*b4136 + 452*b4136 + 0.2505645*b4136^2 + 
    0.242047*b4136*b4137 + 74*b4137 + 0.484094*b4137^2 + 0.194763*b4137*b4138
     + 326*b4138 + 0.3895265*b4138^2 + 0.207653*b4138*b4139 + 735*b4139 + 
    0.415306*b4139^2 + 0.116156*b4139*b4140 + 359*b4140 + 0.2323115*b4140*b4140
     + 0.00751575*b4140*b4141 + 401*b4141 + 0.0150315*b4141^2 + 0.177723*b4141*
    b4142 + 235*b4142 + 0.355446*b4142^2 + 0.189685*b4142*b4143 + 771*b4143 + 
    0.3793695*b4143^2 + 0.115215*b4143*b4144 + 739*b4144 + 0.2304295*b4144^2 + 
    0.062206*b4144*b4145 + 568*b4145 + 0.1244125*b4145^2 + 0.01224245*b4145*
    b4146 + 906*b4146 + 0.02448495*b4146^2 + 0.036535*b4146*b4147 + 637*b4147
     + 0.07307*b4147^2 + 0.01992905*b4147*b4148 + 617*b4148 + 0.0398581*b4148^2
     + 0.04678*b4148*b4149 + 1027*b4149 + 0.09356*b4149^2 + 0.247486*b4149*
    b4150 + 393*b4150 + 0.4949715*b4150^2 + 0.2244655*b4150*b4151 + 1526*b4151
     + 0.448931*b4151^2 + 0.003722175*b4151*b4152 + 788*b4152 + 0.00744435*
    b4152^2 + 0.147514*b4152*b4153 + 717*b4153 + 0.295028*b4153^2 + 0.07703*
    b4153*b4154 + 658*b4154 + 0.15406*b4154^2 + 0.1298905*b4154*b4155 + 439*
    b4155 + 0.259781*b4155^2 + 0.2228995*b4155*b4156 + 482*b4156 + 0.445799*
    b4156^2 + 0.2091695*b4156*b4157 + 572*b4157 + 0.418339*b4157^2 + 0.12888*
    b4157*b4158 + 397*b4158 + 0.25776*b4158*b4158 + 0.2410575*b4158*b4159 + 688
    *b4159 + 0.4821145*b4159^2 + 0.190269*b4159*b4160 + 1221*b4160 + 0.380538*
    b4160^2 + 0.00818775*b4160*b4161 + 263*b4161 + 0.01637555*b4161^2 + 
    0.0270385*b4161*b4162 + 1081*b4162 + 0.054077*b4162^2 + 0.1888865*b4162*
    b4163 + 574*b4163 + 0.3777725*b4163^2 + 0.168354*b4163*b4164 + 667*b4164 + 
    0.336708*b4164^2 + 0.1901925*b4164*b4165 + 209*b4165 + 0.3803845*b4165^2 + 
    0.057297*b4165*b4166 + 1556*b4166 + 0.1145935*b4166^2 + 0.2419525*b4166*
    b4167 + 828*b4167 + 0.4839045*b4167^2 + 0.2356495*b4167*b4168 + 460*b4168
     + 0.4712995*b4168^2 + 0.0686085*b4168*b4169 + 766*b4169 + 0.137217*b4169^2
     + 0.1810605*b4169*b4170 + 1333*b4170 + 0.3621215*b4170^2 + 0.1802895*b4170
    *b4171 + 517*b4171 + 0.360579*b4171^2 + 0.0650475*b4171*b4172 + 422*b4172
     + 0.1300945*b4172^2 + 0.0729065*b4172*b4173 + 578*b4173 + 0.145813*b4173^2
     + 0.105622*b4173*b4174 + 1094*b4174 + 0.2112435*b4174^2 + 0.212935*b4174*
    b4175 + 576*b4175 + 0.4258695*b4175^2 + 0.125001*b4175*b4176 + 433*b4176 + 
    0.250002*b4176*b4176 + 0.008133*b4176*b4177 + 71*b4177 + 0.016266*b4177^2
     + 0.1958875*b4177*b4178 + 529*b4178 + 0.391775*b4178^2 + 0.2180625*b4178*
    b4179 + 445*b4179 + 0.436125*b4179^2 + 0.225751*b4179*b4180 + 775*b4180 + 
    0.4515025*b4180^2 + 0.1918225*b4180*b4181 + 573*b4181 + 0.383645*b4181*
    b4181 + 0.002870875*b4181*b4182 + 530*b4182 + 0.00574175*b4182^2 + 0.14256*
    b4182*b4183 + 767*b4183 + 0.2851195*b4183^2 + 0.228083*b4183*b4184 + 403*
    b4184 + 0.4561655*b4184^2 + 0.069046*b4184*b4185 + 477*b4185 + 0.138092*
    b4185^2 + 0.055863*b4185*b4186 + 593*b4186 + 0.1117255*b4186^2 + 0.04025425
    *b4186*b4187 + 401*b4187 + 0.0805085*b4187^2 + 0.0298565*b4187*b4188 + 1101
    *b4188 + 0.059713*b4188^2 + 0.1685575*b4188*b4189 + 800*b4189 + 0.337115*
    b4189^2 + 0.0791105*b4189*b4190 + 156*b4190 + 0.158221*b4190^2 + 0.213782*
    b4190*b4191 + 423*b4191 + 0.427564*b4191^2 + 0.1158845*b4191*b4192 + 577*
    b4192 + 0.2317695*b4192^2 + 0.234334*b4192*b4193 + 56*b4193 + 0.4686675*
    b4193*b4193 + 0.0174287*b4193*b4194 + 655*b4194 + 0.03485735*b4194^2 + 
    0.2168305*b4194*b4195 + 835*b4195 + 0.4336605*b4195^2 + 0.1527265*b4195*
    b4196 + 978*b4196 + 0.3054525*b4196^2 + 0.2354265*b4196*b4197 + 234*b4197
     + 0.4708535*b4197^2 + 0.22782*b4197*b4198 + 500*b4198 + 0.45564*b4198^2 + 
    0.203917*b4198*b4199 + 212*b4199 + 0.4078345*b4199*b4199 + 0.1504765*b4199*
    b4200 + 457*b4200 + 0.3009525*b4200^2 + 0.121825*b4200*b4201 + 389*b4201 + 
    0.2436505*b4201^2 + 0.081395*b4201*b4202 + 502*b4202 + 0.16279*b4202^2 + 
    0.248055*b4202*b4203 + 1263*b4203 + 0.49611*b4203^2 + 0.046396*b4203*b4204
     + 496*b4204 + 0.092792*b4204^2 + 0.196754*b4204*b4205 + 472*b4205 + 
    0.3935085*b4205^2 + 0.2427065*b4205*b4206 + 474*b4206 + 0.4854125*b4206^2
     + 0.059763*b4206*b4207 + 707*b4207 + 0.1195255*b4207^2 + 0.108168*b4207*
    b4208 + 279*b4208 + 0.2163365*b4208^2 + 0.057876*b4208*b4209 + 665*b4209 + 
    0.1157525*b4209^2 + 0.2272605*b4209*b4210 + 434*b4210 + 0.454521*b4210*
    b4210 + 0.1625555*b4210*b4211 + 659*b4211 + 0.3251115*b4211^2 + 0.177751*
    b4211*b4212 + 234*b4212 + 0.3555025*b4212^2 + 0.00885335*b4212*b4213 + 643*
    b4213 + 0.01770665*b4213^2 + 0.100114*b4213*b4214 + 214*b4214 + 0.200228*
    b4214^2 + 0.110141*b4214*b4215 + 727*b4215 + 0.220282*b4215^2 + 0.059062*
    b4215*b4216 + 659*b4216 + 0.118124*b4216*b4216 + 0.243526*b4216*b4217 + 688
    *b4217 + 0.4870525*b4217^2 + 0.1505945*b4217*b4218 + 426*b4218 + 0.3011895*
    b4218^2 + 0.054349*b4218*b4219 + 692*b4219 + 0.108698*b4219^2 + 0.1266035*
    b4219*b4220 + 438*b4220 + 0.253207*b4220^2 + 0.1314935*b4220*b4221 + 389*
    b4221 + 0.262987*b4221^2 + 0.1697685*b4221*b4222 + 437*b4222 + 0.3395365*
    b4222*b4222 + 0.193001*b4222*b4223 + 492*b4223 + 0.386002*b4223^2 + 
    0.00615015*b4223*b4224 + 452*b4224 + 0.0123003*b4224^2 + 0.1114495*b4224*
    b4225 + 409*b4225 + 0.222899*b4225^2 + 0.2405445*b4225*b4226 + 398*b4226 + 
    0.481089*b4226^2 + 0.129267*b4226*b4227 + 150*b4227 + 0.2585335*b4227^2 + 
    0.152363*b4227*b4228 + 790*b4228 + 0.304726*b4228*b4228 + 0.05778*b4228*
    b4229 + 207*b4229 + 0.11556*b4229^2 + 0.02990325*b4229*b4230 + 696*b4230 + 
    0.0598065*b4230^2 + 0.0746905*b4230*b4231 + 499*b4231 + 0.149381*b4231^2 + 
    0.082599*b4231*b4232 + 259*b4232 + 0.1651985*b4232^2 + 0.0052376*b4232*
    b4233 + 707*b4233 + 0.01047515*b4233^2 + 0.132434*b4233*b4234 + 455*b4234
     + 0.264868*b4234^2 + 0.09335*b4234*b4235 + 461*b4235 + 0.1867*b4235^2 + 
    0.1763605*b4235*b4236 + 414*b4236 + 0.352721*b4236^2 + 0.1664825*b4236*
    b4237 + 650*b4237 + 0.332965*b4237^2 + 0.0282055*b4237*b4238 + 290*b4238 + 
    0.056411*b4238^2 + 0.0889595*b4238*b4239 + 409*b4239 + 0.177919*b4239*b4239
     + 0.1677975*b4239*b4240 + 568*b4240 + 0.335595*b4240^2 + 0.204022*b4240*
    b4241 + 513*b4241 + 0.408044*b4241^2 + 0.2151485*b4241*b4242 + 247*b4242 + 
    0.4302975*b4242^2 + 0.2087335*b4242*b4243 + 84*b4243 + 0.4174675*b4243^2 + 
    0.114041*b4243*b4244 + 295*b4244 + 0.228082*b4244^2 + 0.080395*b4244*b4245
     + 699*b4245 + 0.16079*b4245*b4245 + 0.1305165*b4245*b4246 + 691*b4246 + 
    0.261033*b4246^2 + 0.223932*b4246*b4247 + 424*b4247 + 0.447864*b4247^2 + 
    0.03208975*b4247*b4248 + 843*b4248 + 0.0641795*b4248^2 + 0.087215*b4248*
    b4249 + 782*b4249 + 0.1744305*b4249^2 + 0.2343805*b4249*b4250 + 901*b4250
     + 0.468761*b4250^2 + 0.0670245*b4250*b4251 + 139*b4251 + 0.134049*b4251*
    b4251 + 0.187591*b4251*b4252 + 628*b4252 + 0.3751825*b4252^2 + 0.1263615*
    b4252*b4253 + 467*b4253 + 0.2527235*b4253^2 + 0.046639*b4253*b4254 + 465*
    b4254 + 0.093278*b4254^2 + 0.0582385*b4254*b4255 + 555*b4255 + 0.1164775*
    b4255^2 + 0.01845535*b4255*b4256 + 937*b4256 + 0.03691065*b4256^2 + 
    0.215456*b4256*b4257 + 485*b4257 + 0.4309125*b4257^2 + 0.2472665*b4257*
    b4258 + 1165*b4258 + 0.494533*b4258^2 + 0.0167979*b4258*b4259 + 496*b4259
     + 0.0335958*b4259^2 + 0.0265215*b4259*b4260 + 553*b4260 + 0.053043*b4260^2
     + 0.004982625*b4260*b4261 + 404*b4261 + 0.00996525*b4261^2 + 0.065673*
    b4261*b4262 + 707*b4262 + 0.131346*b4262^2 + 0.04846775*b4262*b4263 + 588*
    b4263 + 0.0969355*b4263^2 + 0.04643775*b4263*b4264 + 429*b4264 + 0.0928755*
    b4264^2 + 0.0190312*b4264*b4265 + 522*b4265 + 0.0380624*b4265^2 + 0.228704*
    b4265*b4266 + 270*b4266 + 0.457408*b4266^2 + 0.178851*b4266*b4267 + 528*
    b4267 + 0.3577015*b4267^2 + 0.2436255*b4267*b4268 + 215*b4268 + 0.487251*
    b4268^2 + 0.207415*b4268*b4269 + 428*b4269 + 0.4148295*b4269*b4269 + 
    0.1032465*b4269*b4270 + 526*b4270 + 0.2064935*b4270^2 + 0.08294*b4270*b4271
     + 422*b4271 + 0.1658795*b4271^2 + 0.118868*b4271*b4272 + 403*b4272 + 
    0.237736*b4272^2 + 0.234189*b4272*b4273 + 535*b4273 + 0.4683775*b4273^2 + 
    0.1833025*b4273*b4274 + 725*b4274 + 0.3666055*b4274^2 + 0.129453*b4274*
    b4275 + 595*b4275 + 0.258906*b4275*b4275 + 0.1179075*b4275*b4276 + 636*
    b4276 + 0.2358145*b4276^2 + 0.1317775*b4276*b4277 + 1359*b4277 + 0.2635555*
    b4277^2 + 0.2147655*b4277*b4278 + 1059*b4278 + 0.429531*b4278^2 + 0.219234*
    b4278*b4279 + 509*b4279 + 0.4384685*b4279^2 + 0.085853*b4279*b4280 + 852*
    b4280 + 0.171706*b4280^2 + 0.1459435*b4280*b4281 + 248*b4281 + 0.291887*
    b4281*b4281 + 0.1752315*b4281*b4282 + 1117*b4282 + 0.350463*b4282^2 + 
    0.1193805*b4282*b4283 + 497*b4283 + 0.238761*b4283^2 + 0.0871665*b4283*
    b4284 + 913*b4284 + 0.1743325*b4284^2 + 0.130004*b4284*b4285 + 691*b4285 + 
    0.260008*b4285^2 + 0.213263*b4285*b4286 + 615*b4286 + 0.4265255*b4286^2 + 
    0.0968905*b4286*b4287 + 476*b4287 + 0.193781*b4287*b4287 + 0.03119775*b4287
    *b4288 + 42*b4288 + 0.0623955*b4288^2 + 0.148082*b4288*b4289 + 384*b4289 + 
    0.2961635*b4289^2 + 0.03407725*b4289*b4290 + 309*b4290 + 0.0681545*b4290^2
     + 0.00238367*b4290*b4291 + 992*b4291 + 0.004767335*b4291^2 + 0.211672*
    b4291*b4292 + 484*b4292 + 0.423344*b4292^2 + 0.049612*b4292*b4293 + 611*
    b4293 + 0.099224*b4293^2 + 0.242556*b4293*b4294 + 371*b4294 + 0.485112*
    b4294^2 + 0.0519375*b4294*b4295 + 454*b4295 + 0.103875*b4295^2 + 0.071719*
    b4295*b4296 + 578*b4296 + 0.143438*b4296^2 + 0.0992215*b4296*b4297 + 254*
    b4297 + 0.1984435*b4297^2 + 0.2148*b4297*b4298 + 675*b4298 + 0.4296005*
    b4298^2 + 0.209045*b4298*b4299 + 633*b4299 + 0.41809*b4299^2 + 0.119019*
    b4299*b4300 + 1171*b4300 + 0.2380385*b4300^2 + 0.0486*b4300*b4301 + 884*
    b4301 + 0.0972*b4301^2 + 0.156482*b4301*b4302 + 570*b4302 + 0.3129635*b4302
    ^2 + 0.13248*b4302*b4303 + 1040*b4303 + 0.2649605*b4303^2 + 0.00135407*
    b4303*b4304 + 1275*b4304 + 0.00270814*b4304^2 + 0.173219*b4304*b4305 + 828*
    b4305 + 0.3464385*b4305^2 + 0.1779855*b4305*b4306 + 923*b4306 + 0.3559715*
    b4306^2 + 0.096528*b4306*b4307 + 397*b4307 + 0.193056*b4307^2 + 0.0894035*
    b4307*b4308 + 426*b4308 + 0.1788065*b4308^2 + 0.04540625*b4308*b4309 + 648*
    b4309 + 0.0908125*b4309^2 + 0.1053595*b4309*b4310 + 463*b4310 + 0.210719*
    b4310^2 + 0.0553495*b4310*b4311 + 786*b4311 + 0.110699*b4311^2 + 0.23715*
    b4311*b4312 + 811*b4312 + 0.4743*b4312^2 + 0.1430215*b4312*b4313 + 391*
    b4313 + 0.286043*b4313^2 + 0.2274685*b4313*b4314 + 457*b4314 + 0.4549375*
    b4314^2 + 0.132844*b4314*b4315 + 553*b4315 + 0.2656885*b4315^2 + 0.1259545*
    b4315*b4316 + 916*b4316 + 0.251909*b4316^2 + 0.0496295*b4316*b4317 + 418*
    b4317 + 0.099259*b4317^2 + 0.01668765*b4317*b4318 + 445*b4318 + 0.03337535*
    b4318^2 + 0.131304*b4318*b4319 + 455*b4319 + 0.262608*b4319^2 + 0.0951395*
    b4319*b4320 + 401*b4320 + 0.1902795*b4320*b4320 + 0.03816025*b4320*b4321 + 
    595*b4321 + 0.0763205*b4321^2 + 0.069896*b4321*b4322 + 497*b4322 + 
    0.1397925*b4322^2 + 0.234076*b4322*b4323 + 415*b4323 + 0.468152*b4323^2 + 
    0.1498345*b4323*b4324 + 957*b4324 + 0.2996685*b4324^2 + 0.2109855*b4324*
    b4325 + 252*b4325 + 0.421971*b4325^2 + 0.1621035*b4325*b4326 + 530*b4326 + 
    0.324207*b4326*b4326 + 0.002454045*b4326*b4327 + 325*b4327 + 0.00490809*
    b4327^2 + 0.091063*b4327*b4328 + 1075*b4328 + 0.182126*b4328^2 + 0.10413*
    b4328*b4329 + 996*b4329 + 0.20826*b4329^2 + 0.209046*b4329*b4330 + 520*
    b4330 + 0.418092*b4330^2 + 0.1963025*b4330*b4331 + 181*b4331 + 0.392605*
    b4331^2 + 0.165299*b4331*b4332 + 365*b4332 + 0.330598*b4332^2 + 0.109615*
    b4332*b4333 + 530*b4333 + 0.21923*b4333^2 + 0.1100245*b4333*b4334 + 418*
    b4334 + 0.2200485*b4334^2 + 0.181759*b4334*b4335 + 315*b4335 + 0.363518*
    b4335^2 + 0.155267*b4335*b4336 + 448*b4336 + 0.3105345*b4336^2 + 0.1576695*
    b4336*b4337 + 612*b4337 + 0.3153395*b4337^2 + 0.088269*b4337*b4338 + 519*
    b4338 + 0.176538*b4338^2 + 0.2342925*b4338*b4339 + 551*b4339 + 0.468585*
    b4339^2 + 0.035063*b4339*b4340 + 702*b4340 + 0.070126*b4340^2 + 0.2433915*
    b4340*b4341 + 997*b4341 + 0.486783*b4341^2 + 0.0925995*b4341*b4342 + 237*
    b4342 + 0.185199*b4342^2 + 0.1901965*b4342*b4343 + 648*b4343 + 0.3803925*
    b4343*b4343 + 0.0681365*b4343*b4344 + 493*b4344 + 0.136273*b4344^2 + 
    0.091799*b4344*b4345 + 1289*b4345 + 0.1835985*b4345^2 + 0.1976755*b4345*
    b4346 + 422*b4346 + 0.395351*b4346^2 + 0.1864665*b4346*b4347 + 676*b4347 + 
    0.372933*b4347^2 + 0.165679*b4347*b4348 + 880*b4348 + 0.3313575*b4348^2 + 
    0.1550535*b4348*b4349 + 351*b4349 + 0.310107*b4349*b4349 + 0.1485065*b4349*
    b4350 + 582*b4350 + 0.2970125*b4350^2 + 0.1353035*b4350*b4351 + 225*b4351
     + 0.270607*b4351^2 + 0.007759*b4351*b4352 + 604*b4352 + 0.015518*b4352^2
     + 0.0149869*b4352*b4353 + 251*b4353 + 0.02997385*b4353^2 + 0.037188*b4353*
    b4354 + 361*b4354 + 0.074376*b4354^2 + 0.1277745*b4354*b4355 + 285*b4355 + 
    0.2555485*b4355*b4355 + 0.1023835*b4355*b4356 + 297*b4356 + 0.2047675*b4356
    ^2 + 0.237307*b4356*b4357 + 224*b4357 + 0.4746145*b4357^2 + 0.1610535*b4357
    *b4358 + 782*b4358 + 0.3221075*b4358^2 + 0.156175*b4358*b4359 + 547*b4359
     + 0.31235*b4359^2 + 0.0548625*b4359*b4360 + 1047*b4360 + 0.1097245*b4360^2
     + 0.0884785*b4360*b4361 + 81*b4361 + 0.176957*b4361*b4361 + 0.0251685*
    b4361*b4362 + 818*b4362 + 0.050337*b4362^2 + 0.067986*b4362*b4363 + 247*
    b4363 + 0.1359725*b4363^2 + 0.1673505*b4363*b4364 + 491*b4364 + 0.3347015*
    b4364^2 + 0.0876225*b4364*b4365 + 411*b4365 + 0.1752455*b4365^2 + 
    0.03597825*b4365*b4366 + 508*b4366 + 0.0719565*b4366^2 + 0.145468*b4366*
    b4367 + 400*b4367 + 0.2909355*b4367*b4367 + 0.0608195*b4367*b4368 + 513*
    b4368 + 0.121639*b4368^2 + 0.1858305*b4368*b4369 + 244*b4369 + 0.3716615*
    b4369^2 + 0.0614685*b4369*b4370 + 652*b4370 + 0.122937*b4370^2 + 0.226564*
    b4370*b4371 + 439*b4371 + 0.4531285*b4371^2 + 0.082748*b4371*b4372 + 451*
    b4372 + 0.165496*b4372^2 + 0.040834*b4372*b4373 + 297*b4373 + 0.081668*
    b4373*b4373 + 0.184788*b4373*b4374 + 217*b4374 + 0.3695765*b4374^2 + 
    0.0818345*b4374*b4375 + 934*b4375 + 0.1636695*b4375^2 + 0.243071*b4375*
    b4376 + 422*b4376 + 0.486142*b4376^2 + 0.028553*b4376*b4377 + 698*b4377 + 
    0.057106*b4377^2 + 0.0428785*b4377*b4378 + 253*b4378 + 0.085757*b4378^2 + 
    0.01725845*b4378*b4379 + 410*b4379 + 0.0345169*b4379^2 + 0.214797*b4379*
    b4380 + 563*b4380 + 0.4295935*b4380^2 + 0.1812145*b4380*b4381 + 543*b4381
     + 0.362429*b4381^2 + 0.1266085*b4381*b4382 + 654*b4382 + 0.2532175*b4382^2
     + 0.144973*b4382*b4383 + 728*b4383 + 0.2899465*b4383^2 + 0.1052135*b4383*
    b4384 + 615*b4384 + 0.2104275*b4384^2 + 0.0183481*b4384*b4385 + 482*b4385
     + 0.03669625*b4385^2 + 0.02953975*b4385*b4386 + 763*b4386 + 0.0590795*
    b4386^2 + 0.134499*b4386*b4387 + 592*b4387 + 0.268998*b4387^2 + 0.226583*
    b4387*b4388 + 241*b4388 + 0.453166*b4388^2 + 0.075706*b4388*b4389 + 507*
    b4389 + 0.1514115*b4389^2 + 0.0951625*b4389*b4390 + 796*b4390 + 0.1903245*
    b4390^2 + 0.1510635*b4390*b4391 + 1022*b4391 + 0.302127*b4391^2 + 0.118734*
    b4391*b4392 + 478*b4392 + 0.237468*b4392^2 + 0.036174*b4392*b4393 + 507*
    b4393 + 0.072348*b4393^2 + 0.04390975*b4393*b4394 + 382*b4394 + 0.0878195*
    b4394^2 + 0.02543275*b4394*b4395 + 907*b4395 + 0.0508655*b4395^2 + 
    0.2419305*b4395*b4396 + 1334*b4396 + 0.4838605*b4396^2 + 0.210354*b4396*
    b4397 + 740*b4397 + 0.4207085*b4397*b4397 + 0.0214843*b4397*b4398 + 630*
    b4398 + 0.04296865*b4398^2 + 0.1406535*b4398*b4399 + 762*b4399 + 0.2813065*
    b4399^2 + 0.1058985*b4399*b4400 + 310*b4400 + 0.211797*b4400^2 + 0.210005*
    b4400*b4401 + 805*b4401 + 0.42001*b4401^2 + 0.2053145*b4401*b4402 + 420*
    b4402 + 0.410629*b4402^2 + 0.1195265*b4402*b4403 + 476*b4403 + 0.239053*
    b4403*b4403 + 0.1347625*b4403*b4404 + 348*b4404 + 0.2695255*b4404^2 + 
    0.211883*b4404*b4405 + 476*b4405 + 0.423766*b4405^2 + 0.2181175*b4405*b4406
     + 1062*b4406 + 0.4362355*b4406^2 + 0.140637*b4406*b4407 + 1033*b4407 + 
    0.281274*b4407^2 + 0.17393*b4407*b4408 + 512*b4408 + 0.34786*b4408^2 + 
    4.24535e-6*b4408*b4409 + 538*b4409 + 8.4907e-6*b4409^2 + 0.19455*b4409*
    b4410 + 1047*b4410 + 0.3891*b4410^2 + 0.2176885*b4410*b4411 + 486*b4411 + 
    0.435377*b4411^2 + 0.155107*b4411*b4412 + 633*b4412 + 0.310214*b4412^2 + 
    0.02233935*b4412*b4413 + 839*b4413 + 0.0446787*b4413^2 + 0.2168995*b4413*
    b4414 + 485*b4414 + 0.433799*b4414*b4414 + 0.185956*b4414*b4415 + 748*b4415
     + 0.371912*b4415^2 + 0.1203435*b4415*b4416 + 506*b4416 + 0.2406875*b4416^2
     + 0.099449*b4416*b4417 + 602*b4417 + 0.1988975*b4417^2 + 0.169391*b4417*
    b4418 + 274*b4418 + 0.3387815*b4418^2 + 0.184259*b4418*b4419 + 603*b4419 + 
    0.368518*b4419^2 + 0.243958*b4419*b4420 + 428*b4420 + 0.4879165*b4420*b4420
     + 0.042893*b4420*b4421 + 713*b4421 + 0.085786*b4421^2 + 0.2463265*b4421*
    b4422 + 743*b4422 + 0.492653*b4422^2 + 0.085452*b4422*b4423 + 267*b4423 + 
    0.1709035*b4423^2 + 0.118468*b4423*b4424 + 664*b4424 + 0.236936*b4424^2 + 
    0.1163635*b4424*b4425 + 534*b4425 + 0.232727*b4425^2 + 0.148071*b4425*b4426
     + 391*b4426 + 0.2961415*b4426*b4426 + 0.1685815*b4426*b4427 + 880*b4427 + 
    0.337163*b4427^2 + 0.082412*b4427*b4428 + 411*b4428 + 0.1648235*b4428^2 + 
    0.150189*b4428*b4429 + 714*b4429 + 0.3003775*b4429^2 + 0.143381*b4429*b4430
     + 389*b4430 + 0.2867615*b4430^2 + 0.210746*b4430*b4431 + 413*b4431 + 
    0.4214925*b4431^2 + 0.155983*b4431*b4432 + 639*b4432 + 0.3119655*b4432*
    b4432 + 0.2380205*b4432*b4433 + 641*b4433 + 0.476041*b4433^2 + 0.1305725*
    b4433*b4434 + 261*b4434 + 0.2611445*b4434^2 + 0.216754*b4434*b4435 + 197*
    b4435 + 0.433508*b4435^2 + 0.1342705*b4435*b4436 + 376*b4436 + 0.268541*
    b4436^2 + 0.125216*b4436*b4437 + 777*b4437 + 0.250432*b4437^2 + 0.03734825*
    b4437*b4438 + 627*b4438 + 0.0746965*b4438^2 + 0.169894*b4438*b4439 + 598*
    b4439 + 0.3397885*b4439^2 + 0.01527665*b4439*b4440 + 659*b4440 + 0.03055335
    *b4440^2 + 0.210932*b4440*b4441 + 871*b4441 + 0.4218645*b4441^2 + 0.112138*
    b4441*b4442 + 277*b4442 + 0.2242765*b4442^2 + 0.0174661*b4442*b4443 + 404*
    b4443 + 0.03493225*b4443^2 + 0.209955*b4443*b4444 + 435*b4444 + 0.41991*
    b4444^2 + 0.1286445*b4444*b4445 + 879*b4445 + 0.257289*b4445^2 + 0.226945*
    b4445*b4446 + 767*b4446 + 0.4538905*b4446^2 + 0.2422475*b4446*b4447 + 549*
    b4447 + 0.484495*b4447^2 + 0.01015945*b4447*b4448 + 720*b4448 + 0.02031895*
    b4448^2 + 0.178392*b4448*b4449 + 438*b4449 + 0.356784*b4449*b4449 + 0.15804
    *b4449*b4450 + 593*b4450 + 0.31608*b4450^2 + 0.03420275*b4450*b4451 + 571*
    b4451 + 0.0684055*b4451^2 + 0.0192823*b4451*b4452 + 907*b4452 + 0.03856455*
    b4452^2 + 0.1460855*b4452*b4453 + 361*b4453 + 0.292171*b4453^2 + 0.0249003*
    b4453*b4454 + 723*b4454 + 0.0498006*b4454^2 + 0.03077975*b4454*b4455 + 473*
    b4455 + 0.0615595*b4455^2 + 0.2389875*b4455*b4456 + 894*b4456 + 0.4779755*
    b4456^2 + 0.1992135*b4456*b4457 + 449*b4457 + 0.398427*b4457^2 + 0.10288*
    b4457*b4458 + 654*b4458 + 0.2057595*b4458^2 + 0.1063875*b4458*b4459 + 474*
    b4459 + 0.212775*b4459^2 + 0.0778925*b4459*b4460 + 389*b4460 + 0.155785*
    b4460^2 + 0.0807895*b4460*b4461 + 506*b4461 + 0.161579*b4461*b4461 + 
    0.08915*b4461*b4462 + 254*b4462 + 0.1783*b4462^2 + 0.0335325*b4462*b4463 + 
    317*b4463 + 0.067065*b4463^2 + 0.1508125*b4463*b4464 + 464*b4464 + 0.301625
    *b4464^2 + 0.0622715*b4464*b4465 + 430*b4465 + 0.1245425*b4465^2 + 
    0.2009365*b4465*b4466 + 639*b4466 + 0.4018735*b4466^2 + 0.027475*b4466*
    b4467 + 482*b4467 + 0.05495*b4467^2 + 0.224373*b4467*b4468 + 1117*b4468 + 
    0.4487465*b4468^2 + 0.073704*b4468*b4469 + 492*b4469 + 0.147408*b4469^2 + 
    0.2416785*b4469*b4470 + 729*b4470 + 0.483357*b4470^2 + 0.0245647*b4470*
    b4471 + 700*b4471 + 0.0491294*b4471^2 + 0.2164435*b4471*b4472 + 438*b4472
     + 0.432887*b4472*b4472 + 0.073282*b4472*b4473 + 388*b4473 + 0.1465645*
    b4473^2 + 0.0860215*b4473*b4474 + 247*b4474 + 0.172043*b4474^2 + 0.2374295*
    b4474*b4475 + 485*b4475 + 0.474859*b4475^2 + 0.0124922*b4475*b4476 + 241*
    b4476 + 0.0249844*b4476^2 + 0.02378035*b4476*b4477 + 594*b4477 + 0.0475607*
    b4477^2 + 0.1619325*b4477*b4478 + 599*b4478 + 0.3238655*b4478^2 + 0.0195609
    *b4478*b4479 + 470*b4479 + 0.0391218*b4479^2 + 0.0638325*b4479*b4480 + 1392
    *b4480 + 0.127665*b4480^2 + 0.1758405*b4480*b4481 + 759*b4481 + 0.3516815*
    b4481^2 + 0.0253625*b4481*b4482 + 553*b4482 + 0.050725*b4482^2 + 0.2355105*
    b4482*b4483 + 802*b4483 + 0.4710215*b4483^2 + 0.2094255*b4483*b4484 + 474*
    b4484 + 0.4188515*b4484^2 + 0.026756*b4484*b4485 + 502*b4485 + 0.053512*
    b4485^2 + 0.083104*b4485*b4486 + 467*b4486 + 0.1662075*b4486^2 + 0.070215*
    b4486*b4487 + 608*b4487 + 0.1404295*b4487^2 + 0.072023*b4487*b4488 + 531*
    b4488 + 0.1440465*b4488^2 + 0.0802315*b4488*b4489 + 718*b4489 + 0.1604625*
    b4489^2 + 0.097671*b4489*b4490 + 285*b4490 + 0.195342*b4490*b4490 + 
    0.209452*b4490*b4491 + 763*b4491 + 0.418904*b4491^2 + 0.1373785*b4491*b4492
     + 1022*b4492 + 0.274757*b4492^2 + 0.2332405*b4492*b4493 + 503*b4493 + 
    0.4664815*b4493^2 + 0.0856605*b4493*b4494 + 424*b4494 + 0.171321*b4494^2 + 
    0.24476*b4494*b4495 + 437*b4495 + 0.48952*b4495^2 + 0.0168549*b4495*b4496
     + 752*b4496 + 0.03370985*b4496*b4496 + 0.1475415*b4496*b4497 + 236*b4497
     + 0.295083*b4497^2 + 0.0897215*b4497*b4498 + 604*b4498 + 0.1794425*b4498^2
     + 0.0346815*b4498*b4499 + 624*b4499 + 0.069363*b4499^2 + 0.0355005*b4499*
    b4500 + 662*b4500 + 0.071001*b4500^2 + 0.050773*b4500*b4501 + 732*b4501 + 
    0.1015465*b4501^2 + 0.105337*b4501*b4502 + 689*b4502 + 0.210674*b4502*b4502
     + 0.1800245*b4502*b4503 + 621*b4503 + 0.360049*b4503^2 + 0.1525965*b4503*
    b4504 + 383*b4504 + 0.305193*b4504^2 + 0.06341*b4504*b4505 + 365*b4505 + 
    0.1268195*b4505^2 + 0.001171655*b4505*b4506 + 66*b4506 + 0.002343315*b4506^
    2 + 0.00548025*b4506*b4507 + 477*b4507 + 0.01096055*b4507^2 + 0.2277135*
    b4507*b4508 + 986*b4508 + 0.4554265*b4508^2 + 0.2115445*b4508*b4509 + 451*
    b4509 + 0.423089*b4509^2 + 0.133085*b4509*b4510 + 264*b4510 + 0.2661695*
    b4510^2 + 0.2306905*b4510*b4511 + 445*b4511 + 0.461381*b4511^2 + 0.03782875
    *b4511*b4512 + 690*b4512 + 0.0756575*b4512^2 + 0.021617*b4512*b4513 + 687*
    b4513 + 0.043234*b4513^2 + 0.205807*b4513*b4514 + 502*b4514 + 0.4116135*
    b4514*b4514 + 0.041687*b4514*b4515 + 396*b4515 + 0.083374*b4515^2 + 
    0.242614*b4515*b4516 + 888*b4516 + 0.485228*b4516^2 + 0.1063065*b4516*b4517
     + 986*b4517 + 0.212613*b4517^2 + 0.193118*b4517*b4518 + 323*b4518 + 
    0.386236*b4518^2 + 0.0747845*b4518*b4519 + 955*b4519 + 0.149569*b4519*b4519
     + 0.00678545*b4519*b4520 + 421*b4520 + 0.0135709*b4520^2 + 0.15415*b4520*
    b4521 + 483*b4521 + 0.3083*b4521^2 + 0.1403245*b4521*b4522 + 851*b4522 + 
    0.2806495*b4522^2 + 0.2214105*b4522*b4523 + 604*b4523 + 0.442821*b4523^2 + 
    0.1406635*b4523*b4524 + 414*b4524 + 0.281327*b4524^2 + 0.01147955*b4524*
    b4525 + 588*b4525 + 0.02295905*b4525^2 + 0.2019305*b4525*b4526 + 413*b4526
     + 0.4038605*b4526^2 + 0.083177*b4526*b4527 + 368*b4527 + 0.1663545*b4527^2
     + 0.146862*b4527*b4528 + 288*b4528 + 0.2937245*b4528^2 + 0.036667*b4528*
    b4529 + 303*b4529 + 0.073334*b4529^2 + 0.094318*b4529*b4530 + 685*b4530 + 
    0.1886355*b4530^2 + 0.1682055*b4530*b4531 + 255*b4531 + 0.3364105*b4531^2
     + 0.1087225*b4531*b4532 + 470*b4532 + 0.217445*b4532^2 + 0.201086*b4532*
    b4533 + 516*b4533 + 0.4021725*b4533^2 + 0.247487*b4533*b4534 + 229*b4534 + 
    0.4949735*b4534^2 + 0.1174755*b4534*b4535 + 815*b4535 + 0.234951*b4535^2 + 
    0.2014865*b4535*b4536 + 57*b4536 + 0.4029735*b4536^2 + 0.182242*b4536*b4537
     + 1178*b4537 + 0.3644835*b4537^2 + 0.066822*b4537*b4538 + 464*b4538 + 
    0.1336445*b4538^2 + 0.1582445*b4538*b4539 + 430*b4539 + 0.316489*b4539^2 + 
    0.0451975*b4539*b4540 + 441*b4540 + 0.090395*b4540^2 + 0.20783*b4540*b4541
     + 1119*b4541 + 0.41566*b4541^2 + 0.0491005*b4541*b4542 + 438*b4542 + 
    0.098201*b4542^2 + 0.0548655*b4542*b4543 + 501*b4543 + 0.1097315*b4543^2 + 
    0.104229*b4543*b4544 + 956*b4544 + 0.208458*b4544^2 + 0.160129*b4544*b4545
     + 434*b4545 + 0.320258*b4545^2 + 0.1858875*b4545*b4546 + 849*b4546 + 
    0.3717755*b4546^2 + 0.058738*b4546*b4547 + 344*b4547 + 0.1174765*b4547^2 + 
    0.01232555*b4547*b4548 + 558*b4548 + 0.02465105*b4548^2 + 0.1718435*b4548*
    b4549 + 674*b4549 + 0.3436865*b4549^2 + 0.10385*b4549*b4550 + 412*b4550 + 
    0.2076995*b4550^2 + 0.0723585*b4550*b4551 + 624*b4551 + 0.1447175*b4551^2
     + 0.21005*b4551*b4552 + 491*b4552 + 0.4201005*b4552^2 + 0.0988885*b4552*
    b4553 + 359*b4553 + 0.1977775*b4553^2 + 0.087418*b4553*b4554 + 583*b4554 + 
    0.1748355*b4554*b4554 + 0.1532205*b4554*b4555 + 545*b4555 + 0.306441*b4555^
    2 + 0.10964*b4555*b4556 + 505*b4556 + 0.2192805*b4556^2 + 0.216074*b4556*
    b4557 + 890*b4557 + 0.4321475*b4557^2 + 0.0629185*b4557*b4558 + 239*b4558
     + 0.1258375*b4558^2 + 0.246129*b4558*b4559 + 695*b4559 + 0.4922575*b4559^2
     + 0.00233442*b4559*b4560 + 195*b4560 + 0.00466884*b4560^2 + 0.242498*b4560
    *b4561 + 252*b4561 + 0.4849965*b4561^2 + 0.107468*b4561*b4562 + 635*b4562
     + 0.214936*b4562^2 + 0.069266*b4562*b4563 + 607*b4563 + 0.138532*b4563^2
     + 0.213263*b4563*b4564 + 440*b4564 + 0.4265265*b4564^2 + 0.1580525*b4564*
    b4565 + 731*b4565 + 0.3161045*b4565^2 + 0.1607855*b4565*b4566 + 494*b4566
     + 0.321571*b4566*b4566 + 0.1665595*b4566*b4567 + 293*b4567 + 0.333119*
    b4567^2 + 0.2012705*b4567*b4568 + 266*b4568 + 0.4025415*b4568^2 + 0.1816725
    *b4568*b4569 + 749*b4569 + 0.3633455*b4569^2 + 0.002097495*b4569*b4570 + 
    538*b4570 + 0.00419499*b4570^2 + 0.038842*b4570*b4571 + 624*b4571 + 
    0.077684*b4571^2 + 0.09899*b4571*b4572 + 460*b4572 + 0.1979795*b4572^2 + 
    0.2246405*b4572*b4573 + 468*b4573 + 0.4492805*b4573^2 + 0.12879*b4573*b4574
     + 431*b4574 + 0.25758*b4574^2 + 0.124367*b4574*b4575 + 619*b4575 + 
    0.2487345*b4575^2 + 0.1187835*b4575*b4576 + 443*b4576 + 0.2375665*b4576^2
     + 0.0510805*b4576*b4577 + 1303*b4577 + 0.102161*b4577^2 + 0.001884485*
    b4577*b4578 + 967*b4578 + 0.00376897*b4578^2 + 0.0542675*b4578*b4579 + 1096
    *b4579 + 0.108535*b4579^2 + 0.218492*b4579*b4580 + 513*b4580 + 0.4369835*
    b4580^2 + 0.01882655*b4580*b4581 + 891*b4581 + 0.0376531*b4581^2 + 
    0.1236595*b4581*b4582 + 457*b4582 + 0.247319*b4582^2 + 0.150328*b4582*b4583
     + 481*b4583 + 0.3006565*b4583^2 + 0.203334*b4583*b4584 + 236*b4584 + 
    0.4066675*b4584*b4584 + 0.1590285*b4584*b4585 + 846*b4585 + 0.3180565*b4585
    ^2 + 0.2069765*b4585*b4586 + 611*b4586 + 0.4139525*b4586^2 + 0.0929025*
    b4586*b4587 + 550*b4587 + 0.185805*b4587^2 + 0.2250755*b4587*b4588 + 1040*
    b4588 + 0.450151*b4588^2 + 0.0530875*b4588*b4589 + 452*b4589 + 0.106175*
    b4589^2 + 0.121359*b4589*b4590 + 241*b4590 + 0.242718*b4590*b4590 + 
    0.1207605*b4590*b4591 + 632*b4591 + 0.241521*b4591^2 + 0.1125*b4591*b4592
     + 898*b4592 + 0.2250005*b4592^2 + 0.2204425*b4592*b4593 + 526*b4593 + 
    0.4408845*b4593^2 + 0.02687025*b4593*b4594 + 430*b4594 + 0.0537405*b4594^2
     + 0.168784*b4594*b4595 + 224*b4595 + 0.337568*b4595*b4595 + 0.212271*b4595
    *b4596 + 455*b4596 + 0.4245415*b4596^2 + 0.0515895*b4596*b4597 + 329*b4597
     + 0.103179*b4597^2 + 0.158342*b4597*b4598 + 474*b4598 + 0.3166845*b4598^2
     + 0.1024885*b4598*b4599 + 621*b4599 + 0.204977*b4599^2 + 0.0802415*b4599*
    b4600 + 695*b4600 + 0.1604825*b4600^2 + 0.049718*b4600*b4601 + 735*b4601 + 
    0.099436*b4601*b4601 + 0.2149465*b4601*b4602 + 984*b4602 + 0.429893*b4602^2
     + 0.0911285*b4602*b4603 + 495*b4603 + 0.1822575*b4603^2 + 0.226445*b4603*
    b4604 + 976*b4604 + 0.4528905*b4604^2 + 0.1549675*b4604*b4605 + 1171*b4605
     + 0.3099355*b4605^2 + 0.060249*b4605*b4606 + 651*b4606 + 0.120498*b4606^2
     + 0.029312*b4606*b4607 + 815*b4607 + 0.058624*b4607*b4607 + 0.176164*b4607
    *b4608 + 101*b4608 + 0.3523285*b4608^2 + 0.1456415*b4608*b4609 + 410*b4609
     + 0.291283*b4609^2 + 0.1816165*b4609*b4610 + 706*b4610 + 0.3632325*b4610^2
     + 0.183734*b4610*b4611 + 526*b4611 + 0.367468*b4611^2 + 0.182571*b4611*
    b4612 + 590*b4612 + 0.3651425*b4612^2 + 0.2087825*b4612*b4613 + 441*b4613
     + 0.4175645*b4613^2 + 0.04340475*b4613*b4614 + 748*b4614 + 0.0868095*b4614
    ^2 + 0.0058227*b4614*b4615 + 467*b4615 + 0.0116454*b4615^2 + 0.1782175*
    b4615*b4616 + 1094*b4616 + 0.356435*b4616^2 + 0.1551665*b4616*b4617 + 224*
    b4617 + 0.3103335*b4617^2 + 0.0440075*b4617*b4618 + 254*b4618 + 0.088015*
    b4618^2 + 0.088105*b4618*b4619 + 456*b4619 + 0.17621*b4619*b4619 + 0.076774
    *b4619*b4620 + 1107*b4620 + 0.1535475*b4620^2 + 0.230279*b4620*b4621 + 248*
    b4621 + 0.4605585*b4621^2 + 0.1420475*b4621*b4622 + 470*b4622 + 0.284095*
    b4622^2 + 0.1926145*b4622*b4623 + 80*b4623 + 0.385229*b4623^2 + 0.00961375*
    b4623*b4624 + 530*b4624 + 0.01922755*b4624^2 + 0.2393145*b4624*b4625 + 644*
    b4625 + 0.4786285*b4625^2 + 0.043224*b4625*b4626 + 562*b4626 + 0.086448*
    b4626^2 + 0.1223415*b4626*b4627 + 416*b4627 + 0.244683*b4627^2 + 0.0964585*
    b4627*b4628 + 860*b4628 + 0.192917*b4628^2 + 0.0690035*b4628*b4629 + 498*
    b4629 + 0.1380065*b4629^2 + 0.120006*b4629*b4630 + 422*b4630 + 0.2400125*
    b4630^2 + 0.094795*b4630*b4631 + 472*b4631 + 0.1895905*b4631*b4631 + 
    0.237594*b4631*b4632 + 746*b4632 + 0.475188*b4632^2 + 0.119259*b4632*b4633
     + 251*b4633 + 0.2385185*b4633^2 + 0.233807*b4633*b4634 + 564*b4634 + 
    0.4676135*b4634^2 + 0.04764525*b4634*b4635 + 206*b4635 + 0.0952905*b4635^2
     + 0.0751595*b4635*b4636 + 631*b4636 + 0.1503195*b4636^2 + 0.158234*b4636*
    b4637 + 803*b4637 + 0.3164685*b4637*b4637 + 0.0128932*b4637*b4638 + 300*
    b4638 + 0.02578645*b4638^2 + 0.173255*b4638*b4639 + 551*b4639 + 0.3465105*
    b4639^2 + 0.01976085*b4639*b4640 + 398*b4640 + 0.0395217*b4640^2 + 0.210768
    *b4640*b4641 + 789*b4641 + 0.421536*b4641^2 + 0.10395*b4641*b4642 + 698*
    b4642 + 0.2079005*b4642^2 + 0.002159875*b4642*b4643 + 320*b4643 + 
    0.004319755*b4643^2 + 0.0993565*b4643*b4644 + 530*b4644 + 0.1987135*b4644^2
     + 0.1154535*b4644*b4645 + 695*b4645 + 0.230907*b4645^2 + 0.026855*b4645*
    b4646 + 458*b4646 + 0.05371*b4646^2 + 0.000773245*b4646*b4647 + 485*b4647
     + 0.00154649*b4647^2 + 0.061213*b4647*b4648 + 773*b4648 + 0.122426*b4648^2
     + 0.109511*b4648*b4649 + 1193*b4649 + 0.2190215*b4649*b4649 + 0.2199695*
    b4649*b4650 + 907*b4650 + 0.4399385*b4650^2 + 0.2110375*b4650*b4651 + 526*
    b4651 + 0.4220755*b4651^2 + 0.1148445*b4651*b4652 + 577*b4652 + 0.2296895*
    b4652^2 + 0.220152*b4652*b4653 + 622*b4653 + 0.4403045*b4653^2 + 0.0614805*
    b4653*b4654 + 424*b4654 + 0.1229605*b4654^2 + 0.111912*b4654*b4655 + 247*
    b4655 + 0.223824*b4655*b4655 + 0.06242*b4655*b4656 + 442*b4656 + 0.12484*
    b4656^2 + 0.1459405*b4656*b4657 + 917*b4657 + 0.291881*b4657^2 + 0.225423*
    b4657*b4658 + 964*b4658 + 0.4508455*b4658^2 + 0.1274665*b4658*b4659 + 838*
    b4659 + 0.2549325*b4659^2 + 0.0855265*b4659*b4660 + 58*b4660 + 0.1710535*
    b4660*b4660 + 0.0967575*b4660*b4661 + 1081*b4661 + 0.1935145*b4661^2 + 
    0.026293*b4661*b4662 + 972*b4662 + 0.052586*b4662^2 + 0.24392*b4662*b4663
     + 416*b4663 + 0.48784*b4663^2 + 0.082711*b4663*b4664 + 551*b4664 + 
    0.165422*b4664^2 + 0.1397415*b4664*b4665 + 1213*b4665 + 0.279483*b4665^2 + 
    0.2261855*b4665*b4666 + 930*b4666 + 0.4523715*b4666^2 + 0.1956255*b4666*
    b4667 + 623*b4667 + 0.391251*b4667^2 + 0.1604105*b4667*b4668 + 860*b4668 + 
    0.3208215*b4668^2 + 0.0634*b4668*b4669 + 240*b4669 + 0.1268*b4669^2 + 
    0.118917*b4669*b4670 + 420*b4670 + 0.237834*b4670^2 + 0.1753675*b4670*b4671
     + 314*b4671 + 0.350735*b4671^2 + 0.1929975*b4671*b4672 + 423*b4672 + 
    0.385995*b4672^2 + 0.13697*b4672*b4673 + 534*b4673 + 0.2739405*b4673^2 + 
    0.0808885*b4673*b4674 + 450*b4674 + 0.1617775*b4674^2 + 0.0250155*b4674*
    b4675 + 485*b4675 + 0.050031*b4675^2 + 0.1402135*b4675*b4676 + 632*b4676 + 
    0.2804265*b4676*b4676 + 0.108956*b4676*b4677 + 922*b4677 + 0.2179115*b4677^
    2 + 0.172115*b4677*b4678 + 394*b4678 + 0.34423*b4678^2 + 0.226203*b4678*
    b4679 + 268*b4679 + 0.4524055*b4679^2 + 0.2193315*b4679*b4680 + 472*b4680
     + 0.4386625*b4680^2 + 0.070596*b4680*b4681 + 244*b4681 + 0.141192*b4681^2
     + 0.138277*b4681*b4682 + 551*b4682 + 0.2765535*b4682*b4682 + 0.118685*
    b4682*b4683 + 61*b4683 + 0.2373695*b4683^2 + 0.1237865*b4683*b4684 + 996*
    b4684 + 0.2475725*b4684^2 + 0.176105*b4684*b4685 + 467*b4685 + 0.3522095*
    b4685^2 + 0.0543165*b4685*b4686 + 438*b4686 + 0.108633*b4686^2 + 0.135731*
    b4686*b4687 + 76*b4687 + 0.2714615*b4687^2 + 0.04786425*b4687*b4688 + 139*
    b4688 + 0.0957285*b4688^2 + 0.219265*b4688*b4689 + 465*b4689 + 0.4385305*
    b4689^2 + 0.17267*b4689*b4690 + 556*b4690 + 0.34534*b4690^2 + 0.01815565*
    b4690*b4691 + 466*b4691 + 0.0363113*b4691^2 + 0.179054*b4691*b4692 + 209*
    b4692 + 0.3581075*b4692^2 + 0.213626*b4692*b4693 + 708*b4693 + 0.4272525*
    b4693*b4693 + 0.085269*b4693*b4694 + 909*b4694 + 0.170538*b4694^2 + 
    0.1750705*b4694*b4695 + 69*b4695 + 0.3501405*b4695^2 + 0.111286*b4695*b4696
     + 518*b4696 + 0.222572*b4696^2 + 0.2272135*b4696*b4697 + 386*b4697 + 
    0.4544275*b4697^2 + 0.0650115*b4697*b4698 + 1149*b4698 + 0.130023*b4698^2
     + 0.186907*b4698*b4699 + 1822*b4699 + 0.3738135*b4699*b4699 + 0.181171*
    b4699*b4700 + 292*b4700 + 0.362342*b4700^2 + 0.093038*b4700*b4701 + 396*
    b4701 + 0.186076*b4701^2 + 0.058827*b4701*b4702 + 403*b4702 + 0.117654*
    b4702^2 + 0.165077*b4702*b4703 + 677*b4703 + 0.330154*b4703^2 + 0.153919*
    b4703*b4704 + 663*b4704 + 0.307838*b4704^2 + 0.212595*b4704*b4705 + 485*
    b4705 + 0.42519*b4705^2 + 0.220368*b4705*b4706 + 335*b4706 + 0.4407365*
    b4706^2 + 0.218518*b4706*b4707 + 473*b4707 + 0.4370365*b4707^2 + 0.2407605*
    b4707*b4708 + 656*b4708 + 0.4815215*b4708^2 + 0.2308725*b4708*b4709 + 369*
    b4709 + 0.4617445*b4709^2 + 0.0607895*b4709*b4710 + 608*b4710 + 0.1215785*
    b4710^2 + 0.236889*b4710*b4711 + 983*b4711 + 0.4737775*b4711^2 + 0.02148355
    *b4711*b4712 + 434*b4712 + 0.0429671*b4712^2 + 0.2328215*b4712*b4713 + 477*
    b4713 + 0.465643*b4713^2 + 0.19298*b4713*b4714 + 248*b4714 + 0.3859605*
    b4714^2 + 0.1267265*b4714*b4715 + 1049*b4715 + 0.2534525*b4715^2 + 0.214828
    *b4715*b4716 + 546*b4716 + 0.429656*b4716*b4716 + 0.115366*b4716*b4717 + 
    392*b4717 + 0.230732*b4717^2 + 0.059095*b4717*b4718 + 709*b4718 + 0.1181895
    *b4718^2 + 0.002802475*b4718*b4719 + 806*b4719 + 0.00560495*b4719^2 + 
    0.137555*b4719*b4720 + 398*b4720 + 0.2751105*b4720^2 + 0.2449245*b4720*
    b4721 + 399*b4721 + 0.489849*b4721^2 + 0.1159245*b4721*b4722 + 434*b4722 + 
    0.2318495*b4722^2 + 0.141474*b4722*b4723 + 961*b4723 + 0.2829475*b4723^2 + 
    0.2106815*b4723*b4724 + 382*b4724 + 0.421363*b4724^2 + 0.1710975*b4724*
    b4725 + 485*b4725 + 0.3421945*b4725^2 + 0.2245815*b4725*b4726 + 489*b4726
     + 0.449163*b4726^2 + 0.193153*b4726*b4727 + 1143*b4727 + 0.3863065*b4727*
    b4727 + 0.04400825*b4727*b4728 + 765*b4728 + 0.0880165*b4728^2 + 0.2378495*
    b4728*b4729 + 1073*b4729 + 0.4756995*b4729^2 + 0.1798115*b4729*b4730 + 582*
    b4730 + 0.3596235*b4730^2 + 0.154429*b4730*b4731 + 291*b4731 + 0.308858*
    b4731^2 + 0.02762525*b4731*b4732 + 630*b4732 + 0.0552505*b4732^2 + 
    0.1861395*b4732*b4733 + 148*b4733 + 0.3722795*b4733^2 + 0.207519*b4733*
    b4734 + 529*b4734 + 0.415038*b4734^2 + 0.00415575*b4734*b4735 + 529*b4735
     + 0.0083115*b4735^2 + 0.04206925*b4735*b4736 + 572*b4736 + 0.0841385*b4736
    ^2 + 0.135151*b4736*b4737 + 266*b4737 + 0.270302*b4737^2 + 0.1510345*b4737*
    b4738 + 939*b4738 + 0.3020685*b4738^2 + 0.0387555*b4738*b4739 + 561*b4739
     + 0.077511*b4739*b4739 + 0.010769*b4739*b4740 + 834*b4740 + 0.02153805*
    b4740^2 + 0.1116715*b4740*b4741 + 789*b4741 + 0.223343*b4741^2 + 0.01755345
    *b4741*b4742 + 451*b4742 + 0.03510685*b4742^2 + 0.03892775*b4742*b4743 + 
    461*b4743 + 0.0778555*b4743^2 + 0.0218349*b4743*b4744 + 243*b4744 + 
    0.04366975*b4744^2 + 0.115094*b4744*b4745 + 718*b4745 + 0.2301885*b4745^2
     + 0.1391395*b4745*b4746 + 1165*b4746 + 0.278279*b4746^2 + 0.075444*b4746*
    b4747 + 475*b4747 + 0.1508875*b4747^2 + 0.178152*b4747*b4748 + 357*b4748 + 
    0.356304*b4748^2 + 0.17594*b4748*b4749 + 1205*b4749 + 0.35188*b4749^2 + 
    0.075467*b4749*b4750 + 895*b4750 + 0.1509345*b4750^2 + 0.2217255*b4750*
    b4751 + 663*b4751 + 0.4434515*b4751^2 + 0.162818*b4751*b4752 + 527*b4752 + 
    0.3256365*b4752^2 + 0.2446085*b4752*b4753 + 557*b4753 + 0.489217*b4753^2 + 
    0.1200965*b4753*b4754 + 516*b4754 + 0.2401925*b4754^2 + 0.1213175*b4754*
    b4755 + 716*b4755 + 0.2426345*b4755^2 + 0.2450045*b4755*b4756 + 469*b4756
     + 0.490009*b4756*b4756 + 0.137251*b4756*b4757 + 571*b4757 + 0.2745025*
    b4757^2 + 0.132582*b4757*b4758 + 593*b4758 + 0.265164*b4758^2 + 0.1875065*
    b4758*b4759 + 557*b4759 + 0.3750125*b4759^2 + 0.045286*b4759*b4760 + 776*
    b4760 + 0.090572*b4760^2 + 0.0760225*b4760*b4761 + 281*b4761 + 0.152045*
    b4761^2 + 0.190979*b4761*b4762 + 770*b4762 + 0.381958*b4762*b4762 + 
    0.175996*b4762*b4763 + 506*b4763 + 0.3519925*b4763^2 + 0.0575895*b4763*
    b4764 + 552*b4764 + 0.1151785*b4764^2 + 0.112225*b4764*b4765 + 572*b4765 + 
    0.22445*b4765^2 + 0.1004065*b4765*b4766 + 403*b4766 + 0.2008125*b4766^2 + 
    0.200053*b4766*b4767 + 544*b4767 + 0.4001055*b4767^2 + 0.0385105*b4767*
    b4768 + 626*b4768 + 0.077021*b4768*b4768 + 0.2257515*b4768*b4769 + 623*
    b4769 + 0.451503*b4769^2 + 0.19989*b4769*b4770 + 558*b4770 + 0.39978*b4770^
    2 + 0.176794*b4770*b4771 + 168*b4771 + 0.353588*b4771^2 + 0.1720965*b4771*
    b4772 + 361*b4772 + 0.3441935*b4772^2 + 0.065733*b4772*b4773 + 615*b4773 + 
    0.1314665*b4773^2 + 0.138892*b4773*b4774 + 1250*b4774 + 0.2777835*b4774^2
     + 0.01739455*b4774*b4775 + 530*b4775 + 0.03478905*b4775^2 + 0.222172*b4775
    *b4776 + 957*b4776 + 0.444344*b4776^2 + 0.221678*b4776*b4777 + 534*b4777 + 
    0.443356*b4777^2 + 0.01321065*b4777*b4778 + 211*b4778 + 0.02642135*b4778^2
     + 0.1482265*b4778*b4779 + 469*b4779 + 0.2964525*b4779^2 + 0.047934*b4779*
    b4780 + 228*b4780 + 0.095868*b4780*b4780 + 0.0891275*b4780*b4781 + 465*
    b4781 + 0.1782545*b4781^2 + 0.186653*b4781*b4782 + 934*b4782 + 0.3733065*
    b4782^2 + 0.03456225*b4782*b4783 + 953*b4783 + 0.0691245*b4783^2 + 
    0.2425085*b4783*b4784 + 554*b4784 + 0.4850165*b4784^2 + 0.158334*b4784*
    b4785 + 390*b4785 + 0.316668*b4785^2 + 0.177483*b4785*b4786 + 545*b4786 + 
    0.354966*b4786*b4786 + 0.079286*b4786*b4787 + 1036*b4787 + 0.1585715*b4787^
    2 + 0.206271*b4787*b4788 + 770*b4788 + 0.4125425*b4788^2 + 0.220582*b4788*
    b4789 + 76*b4789 + 0.441164*b4789^2 + 0.1450975*b4789*b4790 + 454*b4790 + 
    0.2901945*b4790^2 + 0.1751705*b4790*b4791 + 733*b4791 + 0.350341*b4791^2 + 
    0.039689*b4791*b4792 + 1032*b4792 + 0.079378*b4792*b4792 + 0.00570895*b4792
    *b4793 + 807*b4793 + 0.01141795*b4793^2 + 0.218982*b4793*b4794 + 453*b4794
     + 0.4379635*b4794^2 + 0.1752595*b4794*b4795 + 475*b4795 + 0.350519*b4795^2
     + 0.009173*b4795*b4796 + 376*b4796 + 0.018346*b4796^2 + 0.1605955*b4796*
    b4797 + 443*b4797 + 0.321191*b4797^2 + 0.0570185*b4797*b4798 + 375*b4798 + 
    0.1140375*b4798*b4798 + 0.1523985*b4798*b4799 + 466*b4799 + 0.304797*b4799^
    2 + 0.053695*b4799*b4800 + 442*b4800 + 0.10739*b4800^2 + 0.121116*b4800*
    b4801 + 416*b4801 + 0.242232*b4801^2 + 0.2431*b4801*b4802 + 250*b4802 + 
    0.4862005*b4802^2 + 0.230805*b4802*b4803 + 834*b4803 + 0.46161*b4803^2 + 
    0.161312*b4803*b4804 + 588*b4804 + 0.3226245*b4804^2 + 0.032417*b4804*b4805
     + 756*b4805 + 0.064834*b4805^2 + 0.2145835*b4805*b4806 + 670*b4806 + 
    0.4291665*b4806^2 + 0.113224*b4806*b4807 + 1200*b4807 + 0.226448*b4807^2 + 
    0.1565275*b4807*b4808 + 437*b4808 + 0.3130555*b4808^2 + 0.166589*b4808*
    b4809 + 469*b4809 + 0.3331775*b4809*b4809 + 0.235296*b4809*b4810 + 433*
    b4810 + 0.470592*b4810^2 + 0.174166*b4810*b4811 + 1013*b4811 + 0.3483315*
    b4811^2 + 0.0287085*b4811*b4812 + 613*b4812 + 0.057417*b4812^2 + 0.208494*
    b4812*b4813 + 654*b4813 + 0.4169875*b4813^2 + 0.1443755*b4813*b4814 + 740*
    b4814 + 0.2887505*b4814^2 + 0.1365995*b4814*b4815 + 607*b4815 + 0.2731995*
    b4815^2 + 0.147256*b4815*b4816 + 376*b4816 + 0.294512*b4816^2 + 0.038775*
    b4816*b4817 + 182*b4817 + 0.07755*b4817^2 + 0.02016005*b4817*b4818 + 424*
    b4818 + 0.0403201*b4818^2 + 0.0279515*b4818*b4819 + 747*b4819 + 0.055903*
    b4819^2 + 0.02873775*b4819*b4820 + 679*b4820 + 0.0574755*b4820^2 + 
    0.2068735*b4820*b4821 + 663*b4821 + 0.4137465*b4821^2 + 0.1130915*b4821*
    b4822 + 689*b4822 + 0.226183*b4822^2 + 0.0816905*b4822*b4823 + 407*b4823 + 
    0.1633805*b4823^2 + 0.0688875*b4823*b4824 + 513*b4824 + 0.137775*b4824^2 + 
    0.0959695*b4824*b4825 + 69*b4825 + 0.1919385*b4825^2 + 0.225231*b4825*b4826
     + 715*b4826 + 0.450462*b4826^2 + 0.1793025*b4826*b4827 + 487*b4827 + 
    0.358605*b4827*b4827 + 0.180768*b4827*b4828 + 396*b4828 + 0.361536*b4828^2
     + 0.052339*b4828*b4829 + 240*b4829 + 0.1046775*b4829^2 + 0.1068725*b4829*
    b4830 + 390*b4830 + 0.213745*b4830^2 + 0.1765275*b4830*b4831 + 661*b4831 + 
    0.353055*b4831^2 + 0.1389325*b4831*b4832 + 597*b4832 + 0.277865*b4832*b4832
     + 0.032037*b4832*b4833 + 261*b4833 + 0.064074*b4833^2 + 0.1770365*b4833*
    b4834 + 1086*b4834 + 0.3540735*b4834^2 + 0.01885995*b4834*b4835 + 414*b4835
     + 0.0377199*b4835^2 + 0.2041195*b4835*b4836 + 549*b4836 + 0.4082385*b4836^
    2 + 0.02479735*b4836*b4837 + 399*b4837 + 0.04959475*b4837^2 + 0.2197295*
    b4837*b4838 + 894*b4838 + 0.439459*b4838^2 + 0.009177*b4838*b4839 + 760*
    b4839 + 0.01835395*b4839^2 + 0.2240815*b4839*b4840 + 63*b4840 + 0.4481635*
    b4840^2 + 0.01948085*b4840*b4841 + 540*b4841 + 0.0389617*b4841^2 + 
    0.2300485*b4841*b4842 + 976*b4842 + 0.4600965*b4842^2 + 0.143166*b4842*
    b4843 + 427*b4843 + 0.2863325*b4843^2 + 0.04747725*b4843*b4844 + 727*b4844
     + 0.0949545*b4844^2 + 0.205938*b4844*b4845 + 486*b4845 + 0.411876*b4845^2
     + 0.0596395*b4845*b4846 + 507*b4846 + 0.119279*b4846^2 + 0.2131015*b4846*
    b4847 + 422*b4847 + 0.426203*b4847^2 + 0.232138*b4847*b4848 + 543*b4848 + 
    0.4642765*b4848^2 + 0.246983*b4848*b4849 + 511*b4849 + 0.493966*b4849^2 + 
    0.04608775*b4849*b4850 + 760*b4850 + 0.0921755*b4850^2 + 0.2035635*b4850*
    b4851 + 613*b4851 + 0.4071275*b4851^2 + 0.072779*b4851*b4852 + 922*b4852 + 
    0.145558*b4852^2 + 0.1460035*b4852*b4853 + 526*b4853 + 0.2920065*b4853^2 + 
    0.236197*b4853*b4854 + 235*b4854 + 0.4723935*b4854^2 + 0.1426185*b4854*
    b4855 + 856*b4855 + 0.2852375*b4855^2 + 0.114268*b4855*b4856 + 1221*b4856
     + 0.228536*b4856*b4856 + 0.003391125*b4856*b4857 + 491*b4857 + 0.00678225*
    b4857^2 + 0.045057*b4857*b4858 + 612*b4858 + 0.090114*b4858^2 + 0.083741*
    b4858*b4859 + 835*b4859 + 0.167482*b4859^2 + 0.2407585*b4859*b4860 + 622*
    b4860 + 0.4815175*b4860^2 + 0.0900745*b4860*b4861 + 615*b4861 + 0.180149*
    b4861^2 + 0.132097*b4861*b4862 + 250*b4862 + 0.264194*b4862*b4862 + 
    0.0049457*b4862*b4863 + 554*b4863 + 0.0098914*b4863^2 + 0.192461*b4863*
    b4864 + 234*b4864 + 0.384922*b4864^2 + 0.248084*b4864*b4865 + 570*b4865 + 
    0.496168*b4865^2 + 0.113881*b4865*b4866 + 222*b4866 + 0.2277615*b4866^2 + 
    0.1077975*b4866*b4867 + 740*b4867 + 0.2155955*b4867^2 + 0.0823295*b4867*
    b4868 + 532*b4868 + 0.1646595*b4868^2 + 0.1130095*b4868*b4869 + 296*b4869
     + 0.226019*b4869^2 + 0.2443865*b4869*b4870 + 416*b4870 + 0.488773*b4870^2
     + 0.06326*b4870*b4871 + 726*b4871 + 0.12652*b4871^2 + 0.0026546*b4871*
    b4872 + 357*b4872 + 0.0053092*b4872^2 + 0.04815175*b4872*b4873 + 603*b4873
     + 0.0963035*b4873^2 + 0.1810665*b4873*b4874 + 437*b4874 + 0.3621335*b4874^
    2 + 0.1805555*b4874*b4875 + 808*b4875 + 0.3611105*b4875^2 + 0.0959095*b4875
    *b4876 + 745*b4876 + 0.1918185*b4876^2 + 0.2443215*b4876*b4877 + 265*b4877
     + 0.488643*b4877^2 + 0.0230851*b4877*b4878 + 1268*b4878 + 0.0461702*b4878^
    2 + 0.2108125*b4878*b4879 + 1349*b4879 + 0.4216255*b4879^2 + 0.0805705*
    b4879*b4880 + 971*b4880 + 0.1611415*b4880^2 + 0.2486335*b4880*b4881 + 825*
    b4881 + 0.497267*b4881^2 + 0.237105*b4881*b4882 + 444*b4882 + 0.4742105*
    b4882^2 + 0.0580275*b4882*b4883 + 1189*b4883 + 0.116055*b4883^2 + 0.2478225
    *b4883*b4884 + 585*b4884 + 0.495645*b4884^2 + 0.2034335*b4884*b4885 + 525*
    b4885 + 0.4068675*b4885^2 + 0.198582*b4885*b4886 + 515*b4886 + 0.397164*
    b4886*b4886 + 0.1913955*b4886*b4887 + 698*b4887 + 0.382791*b4887^2 + 
    0.1788935*b4887*b4888 + 808*b4888 + 0.3577865*b4888^2 + 0.172821*b4888*
    b4889 + 558*b4889 + 0.345642*b4889^2 + 0.063204*b4889*b4890 + 495*b4890 + 
    0.126408*b4890^2 + 0.237726*b4890*b4891 + 439*b4891 + 0.475452*b4891^2 + 
    0.0479065*b4891*b4892 + 942*b4892 + 0.095813*b4892^2 + 0.0084343*b4892*
    b4893 + 678*b4893 + 0.01686865*b4893^2 + 0.197421*b4893*b4894 + 379*b4894
     + 0.3948425*b4894^2 + 0.137675*b4894*b4895 + 747*b4895 + 0.27535*b4895^2
     + 0.097075*b4895*b4896 + 1200*b4896 + 0.19415*b4896^2 + 0.1240925*b4896*
    b4897 + 455*b4897 + 0.2481845*b4897*b4897 + 0.2455535*b4897*b4898 + 501*
    b4898 + 0.4911065*b4898^2 + 0.2395095*b4898*b4899 + 845*b4899 + 0.479019*
    b4899^2 + 0.1151555*b4899*b4900 + 825*b4900 + 0.2303105*b4900^2 + 0.207533*
    b4900*b4901 + 491*b4901 + 0.415066*b4901^2 + 0.00523205*b4901*b4902 + 529*
    b4902 + 0.0104641*b4902^2 + 0.04857475*b4902*b4903 + 559*b4903 + 0.0971495*
    b4903^2 + 0.0599245*b4903*b4904 + 1041*b4904 + 0.119849*b4904^2 + 0.0202143
    *b4904*b4905 + 818*b4905 + 0.04042855*b4905^2 + 0.212472*b4905*b4906 + 722*
    b4906 + 0.424944*b4906^2 + 0.1413975*b4906*b4907 + 333*b4907 + 0.282795*
    b4907^2 + 0.097853*b4907*b4908 + 242*b4908 + 0.195706*b4908^2 + 0.02811975*
    b4908*b4909 + 587*b4909 + 0.0562395*b4909^2 + 0.095369*b4909*b4910 + 389*
    b4910 + 0.1907375*b4910^2 + 0.079912*b4910*b4911 + 386*b4911 + 0.159824*
    b4911^2 + 0.097582*b4911*b4912 + 815*b4912 + 0.1951645*b4912^2 + 0.04018325
    *b4912*b4913 + 566*b4913 + 0.0803665*b4913^2 + 0.202721*b4913*b4914 + 919*
    b4914 + 0.4054415*b4914^2 + 0.163918*b4914*b4915 + 453*b4915 + 0.327836*
    b4915*b4915 + 0.2412695*b4915*b4916 + 731*b4916 + 0.482539*b4916^2 + 
    0.169779*b4916*b4917 + 982*b4917 + 0.339558*b4917^2 + 0.02564775*b4917*
    b4918 + 460*b4918 + 0.0512955*b4918^2 + 0.06011*b4918*b4919 + 265*b4919 + 
    0.1202195*b4919^2 + 0.02612075*b4919*b4920 + 556*b4920 + 0.0522415*b4920^2
     + 0.207464*b4920*b4921 + 427*b4921 + 0.4149285*b4921*b4921 + 0.1115875*
    b4921*b4922 + 556*b4922 + 0.2231755*b4922^2 + 0.00912155*b4922*b4923 + 417*
    b4923 + 0.01824315*b4923^2 + 0.15056*b4923*b4924 + 595*b4924 + 0.30112*
    b4924^2 + 0.03785125*b4924*b4925 + 424*b4925 + 0.0757025*b4925^2 + 
    0.1208035*b4925*b4926 + 495*b4926 + 0.2416065*b4926^2 + 0.0675225*b4926*
    b4927 + 345*b4927 + 0.1350445*b4927^2 + 0.222982*b4927*b4928 + 879*b4928 + 
    0.4459635*b4928^2 + 0.121156*b4928*b4929 + 1017*b4929 + 0.242312*b4929^2 + 
    0.1542025*b4929*b4930 + 696*b4930 + 0.308405*b4930^2 + 0.213835*b4930*b4931
     + 351*b4931 + 0.42767*b4931^2 + 0.233775*b4931*b4932 + 1225*b4932 + 
    0.46755*b4932^2 + 0.1722445*b4932*b4933 + 623*b4933 + 0.344489*b4933^2 + 
    0.0117207*b4933*b4934 + 693*b4934 + 0.0234414*b4934^2 + 0.0914775*b4934*
    b4935 + 538*b4935 + 0.182955*b4935^2 + 0.085812*b4935*b4936 + 784*b4936 + 
    0.1716235*b4936^2 + 0.0227211*b4936*b4937 + 758*b4937 + 0.0454422*b4937^2
     + 0.179429*b4937*b4938 + 833*b4938 + 0.358858*b4938*b4938 + 0.222252*b4938
    *b4939 + 1174*b4939 + 0.444504*b4939^2 + 0.1242365*b4939*b4940 + 232*b4940
     + 0.2484725*b4940^2 + 0.104041*b4940*b4941 + 727*b4941 + 0.208082*b4941^2
     + 0.0542675*b4941*b4942 + 561*b4942 + 0.1085345*b4942^2 + 0.2489525*b4942*
    b4943 + 676*b4943 + 0.4979045*b4943^2 + 0.19614*b4943*b4944 + 1156*b4944 + 
    0.3922805*b4944*b4944 + 0.033555*b4944*b4945 + 205*b4945 + 0.06711*b4945^2
     + 0.1739725*b4945*b4946 + 563*b4946 + 0.347945*b4946^2 + 0.214772*b4946*
    b4947 + 1047*b4947 + 0.429544*b4947^2 + 0.00657145*b4947*b4948 + 693*b4948
     + 0.0131429*b4948^2 + 0.2081175*b4948*b4949 + 460*b4949 + 0.4162355*b4949^
    2 + 0.0819645*b4949*b4950 + 84*b4950 + 0.163929*b4950*b4950 + 0.091744*
    b4950*b4951 + 370*b4951 + 0.183488*b4951^2 + 0.02711125*b4951*b4952 + 389*
    b4952 + 0.0542225*b4952^2 + 0.001672285*b4952*b4953 + 983*b4953 + 
    0.00334457*b4953^2 + 0.0728735*b4953*b4954 + 667*b4954 + 0.1457465*b4954^2
     + 0.1546195*b4954*b4955 + 580*b4955 + 0.3092385*b4955^2 + 0.02145525*b4955
    *b4956 + 669*b4956 + 0.04291045*b4956^2 + 0.0095889*b4956*b4957 + 715*b4957
     + 0.01917785*b4957^2 + 0.0639715*b4957*b4958 + 873*b4958 + 0.127943*b4958^
    2 + 0.0532455*b4958*b4959 + 1378*b4959 + 0.106491*b4959^2 + 0.127496*b4959*
    b4960 + 368*b4960 + 0.254992*b4960^2 + 0.01313895*b4960*b4961 + 802*b4961
     + 0.0262779*b4961^2 + 0.003254775*b4961*b4962 + 546*b4962 + 0.00650955*
    b4962^2 + 0.0249899*b4962*b4963 + 253*b4963 + 0.04997985*b4963^2 + 0.142033
    *b4963*b4964 + 275*b4964 + 0.2840665*b4964^2 + 0.1155995*b4964*b4965 + 442*
    b4965 + 0.231199*b4965^2 + 0.190494*b4965*b4966 + 266*b4966 + 0.380988*
    b4966^2 + 0.0883315*b4966*b4967 + 788*b4967 + 0.176663*b4967^2 + 0.185492*
    b4967*b4968 + 528*b4968 + 0.3709835*b4968*b4968 + 0.222455*b4968*b4969 + 
    836*b4969 + 0.4449105*b4969^2 + 0.134481*b4969*b4970 + 507*b4970 + 
    0.2689615*b4970^2 + 0.068607*b4970*b4971 + 221*b4971 + 0.137214*b4971^2 + 
    0.073792*b4971*b4972 + 554*b4972 + 0.147584*b4972^2 + 0.0752715*b4972*b4973
     + 192*b4973 + 0.150543*b4973^2 + 0.198858*b4973*b4974 + 600*b4974 + 
    0.3977165*b4974*b4974 + 0.186926*b4974*b4975 + 733*b4975 + 0.3738525*b4975^
    2 + 0.0556405*b4975*b4976 + 377*b4976 + 0.1112805*b4976^2 + 0.0888505*b4976
    *b4977 + 66*b4977 + 0.177701*b4977^2 + 0.027599*b4977*b4978 + 777*b4978 + 
    0.055198*b4978^2 + 0.230728*b4978*b4979 + 476*b4979 + 0.461456*b4979^2 + 
    0.0475*b4979*b4980 + 753*b4980 + 0.095*b4980^2 + 0.078455*b4980*b4981 + 465
    *b4981 + 0.1569095*b4981^2 + 0.1469485*b4981*b4982 + 555*b4982 + 0.2938975*
    b4982^2 + 0.01918605*b4982*b4983 + 431*b4983 + 0.0383721*b4983^2 + 
    0.1039485*b4983*b4984 + 485*b4984 + 0.2078965*b4984^2 + 0.199071*b4984*
    b4985 + 817*b4985 + 0.398142*b4985^2 + 0.01608945*b4985*b4986 + 397*b4986
     + 0.03217895*b4986^2 + 0.2156645*b4986*b4987 + 389*b4987 + 0.4313285*b4987
    ^2 + 0.136454*b4987*b4988 + 689*b4988 + 0.2729085*b4988^2 + 0.106495*b4988*
    b4989 + 504*b4989 + 0.21299*b4989^2 + 0.02973225*b4989*b4990 + 408*b4990 + 
    0.0594645*b4990^2 + 0.2147165*b4990*b4991 + 655*b4991 + 0.429433*b4991*
    b4991 + 0.1501765*b4991*b4992 + 451*b4992 + 0.3003535*b4992^2 + 0.2188005*
    b4992*b4993 + 389*b4993 + 0.4376015*b4993^2 + 0.091192*b4993*b4994 + 810*
    b4994 + 0.1823835*b4994^2 + 0.234177*b4994*b4995 + 258*b4995 + 0.468354*
    b4995^2 + 0.1943255*b4995*b4996 + 356*b4996 + 0.388651*b4996^2 + 0.0582915*
    b4996*b4997 + 743*b4997 + 0.1165825*b4997*b4997 + 0.0516575*b4997*b4998 + 
    582*b4998 + 0.1033145*b4998^2 + 0.1439965*b4998*b4999 + 716*b4999 + 
    0.287993*b4999^2 + 0.177916*b4999*b5000 + 427*b5000 + 0.355832*b5000^2 + 
    0.1689665*b5000*b5001 + 415*b5001 + 0.337933*b5001^2 + 0.1407965*b5001*
    b5002 + 780*b5002 + 0.2815935*b5002^2 + 0.199386*b5002*b5003 + 431*b5003 + 
    0.3987725*b5003*b5003 + 0.1486805*b5003*b5004 + 494*b5004 + 0.2973605*b5004
    ^2 + 0.086092*b5004*b5005 + 795*b5005 + 0.172184*b5005^2 + 0.135843*b5005*
    b5006 + 208*b5006 + 0.271686*b5006^2 + 0.106912*b5006*b5007 + 610*b5007 + 
    0.213824*b5007^2 + 0.0833525*b5007*b5008 + 814*b5008 + 0.166705*b5008^2 + 
    0.2139065*b5008*b5009 + 826*b5009 + 0.427813*b5009*b5009 + 0.0865605*b5009*
    b5010 + 402*b5010 + 0.1731205*b5010^2 + 0.2272365*b5010*b5011 + 417*b5011
     + 0.4544725*b5011^2 + 0.00845155*b5011*b5012 + 277*b5012 + 0.0169031*b5012
    ^2 + 0.1971595*b5012*b5013 + 459*b5013 + 0.394319*b5013^2 + 0.0953585*b5013
    *b5014 + 418*b5014 + 0.1907165*b5014^2 + 0.225022*b5014*b5015 + 748*b5015
     + 0.450044*b5015*b5015 + 0.01565245*b5015*b5016 + 222*b5016 + 0.03130495*
    b5016^2 + 0.11773*b5016*b5017 + 458*b5017 + 0.23546*b5017^2 + 0.067985*
    b5017*b5018 + 504*b5018 + 0.1359705*b5018^2 + 0.002592*b5018*b5019 + 812*
    b5019 + 0.005184*b5019^2 + 0.203032*b5019*b5020 + 354*b5020 + 0.406064*
    b5020^2 + 0.0942535*b5020*b5021 + 932*b5021 + 0.1885075*b5021^2 + 0.129306*
    b5021*b5022 + 427*b5022 + 0.258612*b5022^2 + 0.138048*b5022*b5023 + 247*
    b5023 + 0.276096*b5023^2 + 0.2189205*b5023*b5024 + 710*b5024 + 0.4378415*
    b5024^2 + 0.158615*b5024*b5025 + 399*b5025 + 0.31723*b5025^2 + 0.04338675*
    b5025*b5026 + 260*b5026 + 0.0867735*b5026*b5026 + 0.197862*b5026*b5027 + 
    245*b5027 + 0.395724*b5027^2 + 0.158822*b5027*b5028 + 510*b5028 + 0.317644*
    b5028^2 + 0.01731415*b5028*b5029 + 388*b5029 + 0.0346283*b5029^2 + 0.215278
    *b5029*b5030 + 619*b5030 + 0.430556*b5030^2 + 0.084895*b5030*b5031 + 552*
    b5031 + 0.16979*b5031^2 + 0.03639075*b5031*b5032 + 428*b5032 + 0.0727815*
    b5032^2 + 0.1375405*b5032*b5033 + 530*b5033 + 0.2750805*b5033^2 + 0.189099*
    b5033*b5034 + 561*b5034 + 0.378198*b5034^2 + 0.09661*b5034*b5035 + 442*
    b5035 + 0.19322*b5035^2 + 0.1188115*b5035*b5036 + 760*b5036 + 0.237623*
    b5036^2 + 0.2231315*b5036*b5037 + 854*b5037 + 0.446263*b5037*b5037 + 
    0.1494255*b5037*b5038 + 800*b5038 + 0.2988505*b5038^2 + 0.115219*b5038*
    b5039 + 389*b5039 + 0.2304385*b5039^2 + 0.104226*b5039*b5040 + 634*b5040 + 
    0.2084515*b5040^2 + 0.1092175*b5040*b5041 + 296*b5041 + 0.218435*b5041^2 + 
    0.132283*b5041*b5042 + 566*b5042 + 0.2645665*b5042^2 + 0.007178*b5042*b5043
     + 427*b5043 + 0.014356*b5043*b5043 + 0.200315*b5043*b5044 + 1162*b5044 + 
    0.40063*b5044^2 + 0.132632*b5044*b5045 + 443*b5045 + 0.265264*b5045^2 + 
    0.107357*b5045*b5046 + 487*b5046 + 0.2147135*b5046^2 + 0.082208*b5046*b5047
     + 650*b5047 + 0.164416*b5047^2 + 0.13978*b5047*b5048 + 240*b5048 + 
    0.2795595*b5048*b5048 + 0.0740275*b5048*b5049 + 445*b5049 + 0.1480545*b5049
    ^2 + 0.1567465*b5049*b5050 + 494*b5050 + 0.3134925*b5050^2 + 0.083704*b5050
    *b5051 + 395*b5051 + 0.1674085*b5051^2 + 0.11145*b5051*b5052 + 230*b5052 + 
    0.2229*b5052^2 + 0.2108405*b5052*b5053 + 572*b5053 + 0.4216805*b5053^2 + 
    0.10754*b5053*b5054 + 526*b5054 + 0.21508*b5054^2 + 0.1810875*b5054*b5055
     + 515*b5055 + 0.362175*b5055^2 + 0.128606*b5055*b5056 + 972*b5056 + 
    0.257212*b5056^2 + 0.0032424*b5056*b5057 + 626*b5057 + 0.0064848*b5057^2 + 
    0.2229935*b5057*b5058 + 385*b5058 + 0.4459875*b5058^2 + 0.083069*b5058*
    b5059 + 418*b5059 + 0.1661385*b5059*b5059 + 0.234161*b5059*b5060 + 239*
    b5060 + 0.468322*b5060^2 + 0.0432*b5060*b5061 + 666*b5061 + 0.0864*b5061^2
     + 0.0187297*b5061*b5062 + 324*b5062 + 0.03745935*b5062^2 + 0.0771945*b5062
    *b5063 + 243*b5063 + 0.154389*b5063^2 + 0.207183*b5063*b5064 + 231*b5064 + 
    0.414366*b5064*b5064 + 0.1460145*b5064*b5065 + 374*b5065 + 0.292029*b5065^2
     + 0.096817*b5065*b5066 + 447*b5066 + 0.1936345*b5066^2 + 0.23172*b5066*
    b5067 + 590*b5067 + 0.46344*b5067^2 + 0.0578565*b5067*b5068 + 504*b5068 + 
    0.1157135*b5068^2 + 0.01655115*b5068*b5069 + 758*b5069 + 0.0331023*b5069^2
     + 0.0474765*b5069*b5070 + 384*b5070 + 0.094953*b5070*b5070 + 0.03526575*
    b5070*b5071 + 430*b5071 + 0.0705315*b5071^2 + 0.0234585*b5071*b5072 + 1076*
    b5072 + 0.046917*b5072^2 + 0.052541*b5072*b5073 + 563*b5073 + 0.105082*
    b5073^2 + 0.172116*b5073*b5074 + 378*b5074 + 0.344232*b5074^2 + 0.1091175*
    b5074*b5075 + 758*b5075 + 0.2182355*b5075^2 + 0.1151815*b5075*b5076 + 560*
    b5076 + 0.2303635*b5076^2 + 0.196551*b5076*b5077 + 299*b5077 + 0.393102*
    b5077^2 + 0.1488005*b5077*b5078 + 520*b5078 + 0.297601*b5078^2 + 0.172746*
    b5078*b5079 + 56*b5079 + 0.345492*b5079^2 + 0.1371265*b5079*b5080 + 1497*
    b5080 + 0.2742525*b5080^2 + 0.1435965*b5080*b5081 + 610*b5081 + 0.287193*
    b5081^2 + 0.187499*b5081*b5082 + 551*b5082 + 0.374998*b5082*b5082 + 
    0.0718605*b5082*b5083 + 700*b5083 + 0.1437205*b5083^2 + 0.027213*b5083*
    b5084 + 69*b5084 + 0.054426*b5084^2 + 0.01093645*b5084*b5085 + 59*b5085 + 
    0.0218729*b5085^2 + 0.079727*b5085*b5086 + 257*b5086 + 0.1594545*b5086^2 + 
    0.088144*b5086*b5087 + 226*b5087 + 0.1762875*b5087^2 + 0.1184385*b5087*
    b5088 + 613*b5088 + 0.2368775*b5088^2 + 0.075641*b5088*b5089 + 1553*b5089
     + 0.151282*b5089^2 + 0.244331*b5089*b5090 + 717*b5090 + 0.4886625*b5090^2
     + 0.0462705*b5090*b5091 + 524*b5091 + 0.092541*b5091^2 + 0.060569*b5091*
    b5092 + 440*b5092 + 0.1211385*b5092^2 + 0.092224*b5092*b5093 + 849*b5093 + 
    0.1844485*b5093^2 + 0.03685075*b5093*b5094 + 424*b5094 + 0.0737015*b5094^2
     + 0.1979355*b5094*b5095 + 459*b5095 + 0.395871*b5095^2 + 0.2109725*b5095*
    b5096 + 504*b5096 + 0.4219445*b5096^2 + 0.052611*b5096*b5097 + 386*b5097 + 
    0.1052225*b5097^2 + 0.236199*b5097*b5098 + 577*b5098 + 0.4723985*b5098^2 + 
    0.11272*b5098*b5099 + 653*b5099 + 0.22544*b5099^2 + 0.2472575*b5099*b5100
     + 451*b5100 + 0.4945155*b5100^2 + 0.072975*b5100*b5101 + 471*b5101 + 
    0.1459495*b5101^2 + 0.0859535*b5101*b5102 + 226*b5102 + 0.1719075*b5102^2
     + 0.110679*b5102*b5103 + 252*b5103 + 0.221358*b5103^2 + 0.04321525*b5103*
    b5104 + 430*b5104 + 0.0864305*b5104^2 + 0.1622545*b5104*b5105 + 790*b5105
     + 0.324509*b5105*b5105 + 0.02082955*b5105*b5106 + 640*b5106 + 0.04165905*
    b5106^2 + 0.1237525*b5106*b5107 + 806*b5107 + 0.247505*b5107^2 + 0.0109047*
    b5107*b5108 + 900*b5108 + 0.02180935*b5108^2 + 0.2184405*b5108*b5109 + 460*
    b5109 + 0.4368815*b5109^2 + 0.1383455*b5109*b5110 + 1690*b5110 + 0.2766915*
    b5110^2 + 0.145998*b5110*b5111 + 661*b5111 + 0.2919955*b5111*b5111 + 
    0.120286*b5111*b5112 + 617*b5112 + 0.2405725*b5112^2 + 0.04186625*b5112*
    b5113 + 641*b5113 + 0.0837325*b5113^2 + 0.2412295*b5113*b5114 + 715*b5114
     + 0.4824595*b5114^2 + 0.137434*b5114*b5115 + 1014*b5115 + 0.274868*b5115^2
     + 0.0163918*b5115*b5116 + 471*b5116 + 0.0327836*b5116^2 + 0.0609735*b5116*
    b5117 + 1077*b5117 + 0.121947*b5117^2 + 0.0664085*b5117*b5118 + 427*b5118
     + 0.132817*b5118^2 + 0.0247623*b5118*b5119 + 260*b5119 + 0.0495246*b5119^2
     + 0.166056*b5119*b5120 + 358*b5120 + 0.3321125*b5120^2 + 0.1900265*b5120*
    b5121 + 694*b5121 + 0.3800525*b5121^2 + 0.1150835*b5121*b5122 + 1066*b5122
     + 0.230167*b5122^2 + 0.0260555*b5122*b5123 + 518*b5123 + 0.052111*b5123*
    b5123 + 0.2054855*b5123*b5124 + 81*b5124 + 0.4109715*b5124^2 + 0.124569*
    b5124*b5125 + 416*b5125 + 0.249138*b5125^2 + 0.092858*b5125*b5126 + 661*
    b5126 + 0.1857155*b5126^2 + 0.1249835*b5126*b5127 + 609*b5127 + 0.2499665*
    b5127^2 + 0.1561095*b5127*b5128 + 524*b5128 + 0.3122185*b5128^2 + 0.2308275
    *b5128*b5129 + 467*b5129 + 0.4616545*b5129^2 + 0.01801225*b5129*b5130 + 430
    *b5130 + 0.0360245*b5130^2 + 0.1687985*b5130*b5131 + 240*b5131 + 0.337597*
    b5131^2 + 0.147323*b5131*b5132 + 779*b5132 + 0.294646*b5132^2 + 0.070766*
    b5132*b5133 + 682*b5133 + 0.1415315*b5133^2 + 0.111439*b5133*b5134 + 470*
    b5134 + 0.222878*b5134^2 + 0.1871725*b5134*b5135 + 1139*b5135 + 0.374345*
    b5135*b5135 + 0.061995*b5135*b5136 + 263*b5136 + 0.1239895*b5136^2 + 
    0.1043205*b5136*b5137 + 391*b5137 + 0.208641*b5137^2 + 0.1677665*b5137*
    b5138 + 466*b5138 + 0.3355335*b5138^2 + 0.0308255*b5138*b5139 + 456*b5139
     + 0.061651*b5139^2 + 0.112904*b5139*b5140 + 664*b5140 + 0.225808*b5140^2
     + 0.015652*b5140*b5141 + 1459*b5141 + 0.03130405*b5141^2 + 0.186824*b5141*
    b5142 + 1112*b5142 + 0.3736475*b5142^2 + 0.2164*b5142*b5143 + 1111*b5143 + 
    0.4328*b5143^2 + 0.071885*b5143*b5144 + 397*b5144 + 0.1437705*b5144^2 + 
    0.1642675*b5144*b5145 + 993*b5145 + 0.328535*b5145^2 + 0.17308*b5145*b5146
     + 579*b5146 + 0.34616*b5146*b5146 + 0.127848*b5146*b5147 + 379*b5147 + 
    0.2556965*b5147^2 + 0.03725725*b5147*b5148 + 329*b5148 + 0.0745145*b5148^2
     + 0.0122937*b5148*b5149 + 721*b5149 + 0.02458735*b5149^2 + 0.210831*b5149*
    b5150 + 471*b5150 + 0.421662*b5150^2 + 0.2017355*b5150*b5151 + 648*b5151 + 
    0.403471*b5151^2 + 0.02858925*b5151*b5152 + 779*b5152 + 0.0571785*b5152^2
     + 0.1586435*b5152*b5153 + 424*b5153 + 0.317287*b5153^2 + 0.0768595*b5153*
    b5154 + 243*b5154 + 0.1537185*b5154^2 + 0.1837815*b5154*b5155 + 498*b5155
     + 0.3675635*b5155^2 + 0.2408105*b5155*b5156 + 1421*b5156 + 0.481621*b5156^
    2 + 0.2083465*b5156*b5157 + 1172*b5157 + 0.416693*b5157^2 + 0.0202411*b5157
    *b5158 + 644*b5158 + 0.04048225*b5158^2 + 0.2021775*b5158*b5159 + 183*b5159
     + 0.4043545*b5159^2 + 0.19989*b5159*b5160 + 761*b5160 + 0.39978*b5160^2 + 
    0.0806625*b5160*b5161 + 508*b5161 + 0.161325*b5161^2 + 0.113013*b5161*b5162
     + 1138*b5162 + 0.226026*b5162^2 + 0.062292*b5162*b5163 + 1019*b5163 + 
    0.124584*b5163^2 + 0.0068268*b5163*b5164 + 469*b5164 + 0.0136536*b5164*
    b5164 + 0.0028619*b5164*b5165 + 361*b5165 + 0.0057238*b5165^2 + 0.002207765
    *b5165*b5166 + 297*b5166 + 0.00441553*b5166^2 + 0.139802*b5166*b5167 + 922*
    b5167 + 0.2796045*b5167^2 + 0.02413665*b5167*b5168 + 461*b5168 + 0.04827335
    *b5168^2 + 0.241137*b5168*b5169 + 217*b5169 + 0.482274*b5169^2 + 0.0273325*
    b5169*b5170 + 411*b5170 + 0.054665*b5170^2 + 0.153515*b5170*b5171 + 289*
    b5171 + 0.30703*b5171^2 + 0.1562855*b5171*b5172 + 701*b5172 + 0.312571*
    b5172^2 + 0.1909545*b5172*b5173 + 869*b5173 + 0.381909*b5173^2 + 0.1042535*
    b5173*b5174 + 282*b5174 + 0.2085065*b5174^2 + 0.146247*b5174*b5175 + 717*
    b5175 + 0.2924945*b5175^2 + 0.002962025*b5175*b5176 + 429*b5176 + 
    0.00592405*b5176^2 + 0.02095475*b5176*b5177 + 401*b5177 + 0.04190945*b5177^
    2 + 0.03624975*b5177*b5178 + 319*b5178 + 0.0724995*b5178^2 + 0.2112345*
    b5178*b5179 + 709*b5179 + 0.4224685*b5179^2 + 0.093739*b5179*b5180 + 1376*
    b5180 + 0.1874785*b5180^2 + 0.074259*b5180*b5181 + 771*b5181 + 0.1485185*
    b5181^2 + 0.2181435*b5181*b5182 + 814*b5182 + 0.4362865*b5182^2 + 0.1560065
    *b5182*b5183 + 543*b5183 + 0.3120125*b5183^2 + 0.0098097*b5183*b5184 + 410*
    b5184 + 0.0196194*b5184^2 + 0.0963725*b5184*b5185 + 255*b5185 + 0.1927455*
    b5185^2 + 0.2085185*b5185*b5186 + 427*b5186 + 0.417037*b5186^2 + 0.0629535*
    b5186*b5187 + 42*b5187 + 0.1259065*b5187^2 + 0.0270195*b5187*b5188 + 534*
    b5188 + 0.054039*b5188*b5188 + 0.0665755*b5188*b5189 + 454*b5189 + 
    0.1331505*b5189^2 + 0.04521475*b5189*b5190 + 230*b5190 + 0.0904295*b5190^2
     + 0.125949*b5190*b5191 + 534*b5191 + 0.251898*b5191^2 + 0.109486*b5191*
    b5192 + 523*b5192 + 0.2189715*b5192^2 + 0.1057975*b5192*b5193 + 336*b5193
     + 0.2115955*b5193^2 + 0.1922915*b5193*b5194 + 397*b5194 + 0.384583*b5194*
    b5194 + 0.103747*b5194*b5195 + 1338*b5195 + 0.207494*b5195^2 + 0.207272*
    b5195*b5196 + 545*b5196 + 0.4145445*b5196^2 + 0.1253545*b5196*b5197 + 710*
    b5197 + 0.250709*b5197^2 + 0.247923*b5197*b5198 + 992*b5198 + 0.495846*
    b5198^2 + 0.1164095*b5198*b5199 + 795*b5199 + 0.2328185*b5199^2 + 0.0812*
    b5199*b5200 + 1247*b5200 + 0.1624*b5200*b5200 + 0.2171045*b5200*b5201 + 643
    *b5201 + 0.434209*b5201^2 + 0.132087*b5201*b5202 + 391*b5202 + 0.264174*
    b5202^2 + 0.2069165*b5202*b5203 + 588*b5203 + 0.413833*b5203^2 + 0.2245565*
    b5203*b5204 + 917*b5204 + 0.4491125*b5204^2 + 0.1794575*b5204*b5205 + 322*
    b5205 + 0.3589145*b5205^2 + 0.188852*b5205*b5206 + 432*b5206 + 0.3777045*
    b5206*b5206 + 0.034699*b5206*b5207 + 1048*b5207 + 0.069398*b5207^2 + 
    0.2351575*b5207*b5208 + 547*b5208 + 0.4703155*b5208^2 + 0.090101*b5208*
    b5209 + 252*b5209 + 0.180202*b5209^2 + 0.03172425*b5209*b5210 + 408*b5210
     + 0.0634485*b5210^2 + 0.00297035*b5210*b5211 + 360*b5211 + 0.0059407*b5211
    ^2 + 0.000806925*b5211*b5212 + 614*b5212 + 0.001613855*b5212^2 + 0.1656875*
    b5212*b5213 + 404*b5213 + 0.3313745*b5213^2 + 0.1550515*b5213*b5214 + 762*
    b5214 + 0.310103*b5214^2 + 0.05433*b5214*b5215 + 216*b5215 + 0.1086595*
    b5215^2 + 0.1039055*b5215*b5216 + 424*b5216 + 0.207811*b5216^2 + 0.2085985*
    b5216*b5217 + 575*b5217 + 0.4171965*b5217^2 + 0.214095*b5217*b5218 + 463*
    b5218 + 0.4281895*b5218*b5218 + 0.2469815*b5218*b5219 + 229*b5219 + 
    0.4939625*b5219^2 + 0.07091*b5219*b5220 + 715*b5220 + 0.1418205*b5220^2 + 
    0.165346*b5220*b5221 + 767*b5221 + 0.3306915*b5221^2 + 0.1823425*b5221*
    b5222 + 218*b5222 + 0.364685*b5222^2 + 0.065458*b5222*b5223 + 756*b5223 + 
    0.1309165*b5223^2 + 0.0155188*b5223*b5224 + 227*b5224 + 0.03103765*b5224^2
     + 0.130121*b5224*b5225 + 466*b5225 + 0.260242*b5225^2 + 0.15227*b5225*
    b5226 + 846*b5226 + 0.3045405*b5226^2 + 0.0353655*b5226*b5227 + 757*b5227
     + 0.070731*b5227^2 + 0.0501865*b5227*b5228 + 260*b5228 + 0.100373*b5228^2
     + 0.2474515*b5228*b5229 + 430*b5229 + 0.4949035*b5229^2 + 0.1389515*b5229*
    b5230 + 701*b5230 + 0.277903*b5230*b5230 + 0.187512*b5230*b5231 + 542*b5231
     + 0.3750245*b5231^2 + 0.0760605*b5231*b5232 + 486*b5232 + 0.1521215*b5232^
    2 + 0.1436845*b5232*b5233 + 447*b5233 + 0.2873685*b5233^2 + 0.1082445*b5233
    *b5234 + 774*b5234 + 0.2164885*b5234^2 + 0.1288085*b5234*b5235 + 574*b5235
     + 0.2576165*b5235^2 + 0.1010235*b5235*b5236 + 1041*b5236 + 0.202047*b5236^
    2 + 0.0006353*b5236*b5237 + 505*b5237 + 0.001270605*b5237^2 + 0.1597175*
    b5237*b5238 + 1650*b5238 + 0.3194345*b5238^2 + 0.224152*b5238*b5239 + 610*
    b5239 + 0.4483045*b5239^2 + 0.23589*b5239*b5240 + 210*b5240 + 0.4717805*
    b5240^2 + 0.0920565*b5240*b5241 + 415*b5241 + 0.184113*b5241^2 + 0.056132*
    b5241*b5242 + 824*b5242 + 0.112264*b5242*b5242 + 0.0719395*b5242*b5243 + 
    552*b5243 + 0.1438795*b5243^2 + 0.001800055*b5243*b5244 + 405*b5244 + 
    0.00360011*b5244^2 + 0.211879*b5244*b5245 + 434*b5245 + 0.4237585*b5245^2
     + 0.0362155*b5245*b5246 + 371*b5246 + 0.072431*b5246^2 + 0.0423575*b5246*
    b5247 + 389*b5247 + 0.084715*b5247^2 + 0.1122745*b5247*b5248 + 1027*b5248
     + 0.2245485*b5248^2 + 0.211664*b5248*b5249 + 223*b5249 + 0.4233275*b5249^2
     + 0.04309575*b5249*b5250 + 735*b5250 + 0.0861915*b5250^2 + 0.0468475*b5250
    *b5251 + 685*b5251 + 0.093695*b5251^2 + 0.0761325*b5251*b5252 + 576*b5252
     + 0.1522655*b5252^2 + 0.1172255*b5252*b5253 + 224*b5253 + 0.2344505*b5253^
    2 + 0.130576*b5253*b5254 + 375*b5254 + 0.261152*b5254*b5254 + 0.2217485*
    b5254*b5255 + 522*b5255 + 0.4434965*b5255^2 + 0.1263335*b5255*b5256 + 452*
    b5256 + 0.2526665*b5256^2 + 0.159541*b5256*b5257 + 317*b5257 + 0.3190825*
    b5257^2 + 0.02366595*b5257*b5258 + 523*b5258 + 0.04733195*b5258^2 + 
    0.206132*b5258*b5259 + 794*b5259 + 0.4122635*b5259^2 + 0.1064085*b5259*
    b5260 + 419*b5260 + 0.212817*b5260*b5260 + 0.2252445*b5260*b5261 + 607*
    b5261 + 0.4504895*b5261^2 + 0.1435405*b5261*b5262 + 568*b5262 + 0.2870815*
    b5262^2 + 0.063519*b5262*b5263 + 874*b5263 + 0.127038*b5263^2 + 0.146545*
    b5263*b5264 + 799*b5264 + 0.2930905*b5264^2 + 0.1083525*b5264*b5265 + 324*
    b5265 + 0.216705*b5265^2 + 0.2441035*b5265*b5266 + 704*b5266 + 0.488207*
    b5266*b5266 + 0.2035215*b5266*b5267 + 656*b5267 + 0.407043*b5267^2 + 
    0.0683265*b5267*b5268 + 1270*b5268 + 0.1366525*b5268^2 + 0.04209525*b5268*
    b5269 + 830*b5269 + 0.0841905*b5269^2 + 0.151967*b5269*b5270 + 276*b5270 + 
    0.303934*b5270^2 + 0.0976355*b5270*b5271 + 276*b5271 + 0.1952705*b5271^2 + 
    0.053457*b5271*b5272 + 1580*b5272 + 0.106914*b5272*b5272 + 0.138277*b5272*
    b5273 + 1091*b5273 + 0.2765535*b5273^2 + 0.0756845*b5273*b5274 + 560*b5274
     + 0.151369*b5274^2 + 0.2429935*b5274*b5275 + 432*b5275 + 0.485987*b5275^2
     + 0.2497865*b5275*b5276 + 368*b5276 + 0.499573*b5276^2 + 0.228418*b5276*
    b5277 + 412*b5277 + 0.456836*b5277^2 + 0.24019*b5277*b5278 + 984*b5278 + 
    0.48038*b5278^2 + 0.2201535*b5278*b5279 + 274*b5279 + 0.440307*b5279^2 + 
    0.234304*b5279*b5280 + 454*b5280 + 0.468608*b5280^2 + 0.106096*b5280*b5281
     + 395*b5281 + 0.2121915*b5281^2 + 0.1764855*b5281*b5282 + 490*b5282 + 
    0.352971*b5282^2 + 0.207666*b5282*b5283 + 637*b5283 + 0.415332*b5283*b5283
     + 0.1994385*b5283*b5284 + 1335*b5284 + 0.3988775*b5284^2 + 0.060531*b5284*
    b5285 + 641*b5285 + 0.121062*b5285^2 + 0.2140885*b5285*b5286 + 553*b5286 + 
    0.428177*b5286^2 + 0.1720365*b5286*b5287 + 393*b5287 + 0.3440725*b5287^2 + 
    0.240387*b5287*b5288 + 213*b5288 + 0.4807735*b5288^2 + 0.167965*b5288*b5289
     + 216*b5289 + 0.33593*b5289*b5289 + 0.1892775*b5289*b5290 + 406*b5290 + 
    0.378555*b5290^2 + 0.2187455*b5290*b5291 + 1053*b5291 + 0.4374905*b5291^2
     + 0.1640215*b5291*b5292 + 619*b5292 + 0.3280425*b5292^2 + 0.1510075*b5292*
    b5293 + 403*b5293 + 0.3020145*b5293^2 + 0.157131*b5293*b5294 + 550*b5294 + 
    0.3142615*b5294^2 + 0.00472315*b5294*b5295 + 211*b5295 + 0.0094463*b5295^2
     + 0.2412635*b5295*b5296 + 541*b5296 + 0.4825275*b5296^2 + 0.02599475*b5296
    *b5297 + 353*b5297 + 0.0519895*b5297^2 + 0.0133891*b5297*b5298 + 814*b5298
     + 0.0267782*b5298^2 + 0.246697*b5298*b5299 + 454*b5299 + 0.493394*b5299^2
     + 0.208333*b5299*b5300 + 896*b5300 + 0.4166665*b5300^2 + 0.0796035*b5300*
    b5301 + 447*b5301 + 0.1592065*b5301^2 + 0.00682575*b5301*b5302 + 382*b5302
     + 0.01365145*b5302^2 + 0.1069045*b5302*b5303 + 997*b5303 + 0.213809*b5303^
    2 + 0.0559295*b5303*b5304 + 275*b5304 + 0.111859*b5304^2 + 0.1401045*b5304*
    b5305 + 434*b5305 + 0.2802085*b5305^2 + 0.113325*b5305*b5306 + 663*b5306 + 
    0.2266495*b5306^2 + 0.00428145*b5306*b5307 + 579*b5307 + 0.0085629*b5307^2
     + 0.03582275*b5307*b5308 + 675*b5308 + 0.0716455*b5308^2 + 0.0838725*b5308
    *b5309 + 545*b5309 + 0.1677455*b5309^2 + 0.12667*b5309*b5310 + 441*b5310 + 
    0.25334*b5310^2 + 0.225041*b5310*b5311 + 109*b5311 + 0.4500825*b5311^2 + 
    0.157449*b5311*b5312 + 937*b5312 + 0.314898*b5312^2 + 0.134916*b5312*b5313
     + 608*b5313 + 0.2698325*b5313*b5313 + 0.201683*b5313*b5314 + 753*b5314 + 
    0.403366*b5314^2 + 0.2327045*b5314*b5315 + 934*b5315 + 0.4654085*b5315^2 + 
    0.03145325*b5315*b5316 + 710*b5316 + 0.0629065*b5316^2 + 0.055686*b5316*
    b5317 + 397*b5317 + 0.111372*b5317^2 + 0.15918*b5317*b5318 + 407*b5318 + 
    0.31836*b5318^2 + 0.2433885*b5318*b5319 + 264*b5319 + 0.486777*b5319*b5319
     + 0.046195*b5319*b5320 + 306*b5320 + 0.09239*b5320^2 + 0.177274*b5320*
    b5321 + 455*b5321 + 0.3545475*b5321^2 + 0.0947365*b5321*b5322 + 853*b5322
     + 0.189473*b5322^2 + 0.0371235*b5322*b5323 + 448*b5323 + 0.074247*b5323^2
     + 0.247234*b5323*b5324 + 460*b5324 + 0.4944675*b5324*b5324 + 0.1657935*
    b5324*b5325 + 1303*b5325 + 0.3315865*b5325^2 + 0.1115895*b5325*b5326 + 389*
    b5326 + 0.223179*b5326^2 + 0.2491805*b5326*b5327 + 475*b5327 + 0.498361*
    b5327^2 + 0.0085545*b5327*b5328 + 657*b5328 + 0.01710895*b5328^2 + 0.100285
    *b5328*b5329 + 1102*b5329 + 0.20057*b5329^2 + 0.011616*b5329*b5330 + 732*
    b5330 + 0.02323195*b5330*b5330 + 0.2011045*b5330*b5331 + 762*b5331 + 
    0.4022095*b5331^2 + 0.0221556*b5331*b5332 + 397*b5332 + 0.0443112*b5332^2
     + 0.23825*b5332*b5333 + 535*b5333 + 0.4765*b5333^2 + 0.248093*b5333*b5334
     + 435*b5334 + 0.496186*b5334^2 + 0.087655*b5334*b5335 + 459*b5335 + 
    0.17531*b5335*b5335 + 0.0502295*b5335*b5336 + 409*b5336 + 0.1004595*b5336^2
     + 0.0312225*b5336*b5337 + 1144*b5337 + 0.062445*b5337^2 + 0.1547*b5337*
    b5338 + 522*b5338 + 0.3094*b5338^2 + 0.077486*b5338*b5339 + 1731*b5339 + 
    0.154972*b5339^2 + 0.060773*b5339*b5340 + 228*b5340 + 0.121546*b5340^2 + 
    0.091153*b5340*b5341 + 555*b5341 + 0.1823055*b5341^2 + 0.048767*b5341*b5342
     + 537*b5342 + 0.097534*b5342^2 + 0.0078577*b5342*b5343 + 679*b5343 + 
    0.0157154*b5343^2 + 0.0751325*b5343*b5344 + 842*b5344 + 0.150265*b5344^2 + 
    0.190005*b5344*b5345 + 391*b5345 + 0.38001*b5345^2 + 0.232259*b5345*b5346
     + 618*b5346 + 0.464518*b5346^2 + 0.0058245*b5346*b5347 + 527*b5347 + 
    0.01164905*b5347^2 + 0.238514*b5347*b5348 + 201*b5348 + 0.477028*b5348^2 + 
    0.091419*b5348*b5349 + 978*b5349 + 0.182838*b5349^2 + 0.203068*b5349*b5350
     + 561*b5350 + 0.406136*b5350^2 + 0.231764*b5350*b5351 + 673*b5351 + 
    0.463528*b5351*b5351 + 0.03576225*b5351*b5352 + 146*b5352 + 0.0715245*b5352
    ^2 + 0.1312795*b5352*b5353 + 349*b5353 + 0.262559*b5353^2 + 0.24013*b5353*
    b5354 + 600*b5354 + 0.4802595*b5354^2 + 0.1020005*b5354*b5355 + 471*b5355
     + 0.204001*b5355^2 + 0.083299*b5355*b5356 + 1095*b5356 + 0.1665975*b5356^2
     + 0.0578455*b5356*b5357 + 265*b5357 + 0.1156905*b5357^2 + 0.1737335*b5357*
    b5358 + 671*b5358 + 0.347467*b5358^2 + 0.049742*b5358*b5359 + 942*b5359 + 
    0.099484*b5359^2 + 0.1891885*b5359*b5360 + 676*b5360 + 0.378377*b5360^2 + 
    0.1761705*b5360*b5361 + 944*b5361 + 0.3523415*b5361^2 + 0.184298*b5361*
    b5362 + 429*b5362 + 0.3685955*b5362^2 + 0.168707*b5362*b5363 + 444*b5363 + 
    0.337414*b5363*b5363 + 0.1836705*b5363*b5364 + 574*b5364 + 0.3673405*b5364^
    2 + 0.03817*b5364*b5365 + 694*b5365 + 0.07634*b5365^2 + 0.02818975*b5365*
    b5366 + 1240*b5366 + 0.0563795*b5366^2 + 0.21741*b5366*b5367 + 228*b5367 + 
    0.4348205*b5367^2 + 0.2399895*b5367*b5368 + 555*b5368 + 0.479979*b5368^2 + 
    0.0487155*b5368*b5369 + 309*b5369 + 0.097431*b5369*b5369 + 0.0380745*b5369*
    b5370 + 724*b5370 + 0.076149*b5370^2 + 0.0742315*b5370*b5371 + 389*b5371 + 
    0.148463*b5371^2 + 0.1614435*b5371*b5372 + 191*b5372 + 0.3228875*b5372^2 + 
    0.0675015*b5372*b5373 + 384*b5373 + 0.135003*b5373^2 + 0.0863245*b5373*
    b5374 + 216*b5374 + 0.172649*b5374^2 + 0.1090245*b5374*b5375 + 628*b5375 + 
    0.218049*b5375*b5375 + 0.01917265*b5375*b5376 + 1159*b5376 + 0.0383453*
    b5376^2 + 0.234783*b5376*b5377 + 465*b5377 + 0.4695665*b5377^2 + 0.1926685*
    b5377*b5378 + 438*b5378 + 0.385337*b5378^2 + 0.02043465*b5378*b5379 + 425*
    b5379 + 0.04086925*b5379^2 + 0.2151355*b5379*b5380 + 911*b5380 + 0.4302715*
    b5380^2 + 0.0347025*b5380*b5381 + 535*b5381 + 0.069405*b5381*b5381 + 
    0.097177*b5381*b5382 + 255*b5382 + 0.194354*b5382^2 + 0.0670495*b5382*b5383
     + 224*b5383 + 0.1340985*b5383^2 + 0.04774825*b5383*b5384 + 296*b5384 + 
    0.0954965*b5384^2 + 0.175219*b5384*b5385 + 726*b5385 + 0.3504385*b5385^2 + 
    0.222675*b5385*b5386 + 782*b5386 + 0.44535*b5386^2 + 0.1901385*b5386*b5387
     + 453*b5387 + 0.3802775*b5387*b5387 + 0.093663*b5387*b5388 + 737*b5388 + 
    0.187326*b5388^2 + 0.141051*b5388*b5389 + 594*b5389 + 0.2821015*b5389^2 + 
    0.0882855*b5389*b5390 + 740*b5390 + 0.176571*b5390^2 + 0.2173295*b5390*
    b5391 + 380*b5391 + 0.4346595*b5391^2 + 0.0791115*b5391*b5392 + 798*b5392
     + 0.158223*b5392*b5392 + 0.2096055*b5392*b5393 + 287*b5393 + 0.419211*
    b5393^2 + 0.1235285*b5393*b5394 + 626*b5394 + 0.2470565*b5394^2 + 0.0808435
    *b5394*b5395 + 804*b5395 + 0.161687*b5395^2 + 0.0169011*b5395*b5396 + 281*
    b5396 + 0.03380215*b5396^2 + 0.027055*b5396*b5397 + 778*b5397 + 0.05411*
    b5397^2 + 0.079979*b5397*b5398 + 1071*b5398 + 0.1599575*b5398*b5398 + 
    0.02131205*b5398*b5399 + 411*b5399 + 0.04262415*b5399^2 + 0.04455275*b5399*
    b5400 + 409*b5400 + 0.0891055*b5400^2 + 0.242289*b5400*b5401 + 813*b5401 + 
    0.484578*b5401^2 + 0.142666*b5401*b5402 + 1461*b5402 + 0.2853315*b5402^2 + 
    0.1185795*b5402*b5403 + 576*b5403 + 0.237159*b5403^2 + 0.01509915*b5403*
    b5404 + 353*b5404 + 0.03019835*b5404^2 + 0.106428*b5404*b5405 + 315*b5405
     + 0.212856*b5405^2 + 0.18895*b5405*b5406 + 484*b5406 + 0.3779005*b5406^2
     + 0.230614*b5406*b5407 + 179*b5407 + 0.4612285*b5407^2 + 0.2167465*b5407*
    b5408 + 426*b5408 + 0.433493*b5408^2 + 0.068177*b5408*b5409 + 399*b5409 + 
    0.136354*b5409^2 + 0.03587*b5409*b5410 + 869*b5410 + 0.07174*b5410^2 + 
    0.0145893*b5410*b5411 + 644*b5411 + 0.02917855*b5411^2 + 0.235747*b5411*
    b5412 + 628*b5412 + 0.471494*b5412^2 + 0.242471*b5412*b5413 + 241*b5413 + 
    0.4849415*b5413^2 + 0.04672375*b5413*b5414 + 530*b5414 + 0.0934475*b5414^2
     + 0.2314345*b5414*b5415 + 773*b5415 + 0.462869*b5415*b5415 + 0.204721*
    b5415*b5416 + 713*b5416 + 0.4094425*b5416^2 + 0.1070165*b5416*b5417 + 245*
    b5417 + 0.2140335*b5417^2 + 0.089871*b5417*b5418 + 627*b5418 + 0.179742*
    b5418^2 + 0.00162377*b5418*b5419 + 873*b5419 + 0.003247535*b5419^2 + 
    0.21616*b5419*b5420 + 764*b5420 + 0.4323195*b5420^2 + 0.149874*b5420*b5421
     + 437*b5421 + 0.2997475*b5421*b5421 + 0.0151773*b5421*b5422 + 419*b5422 + 
    0.03035455*b5422^2 + 0.22898*b5422*b5423 + 563*b5423 + 0.4579595*b5423^2 + 
    0.0227684*b5423*b5424 + 415*b5424 + 0.04553685*b5424^2 + 0.055647*b5424*
    b5425 + 652*b5425 + 0.1112935*b5425^2 + 0.1242715*b5425*b5426 + 301*b5426
     + 0.248543*b5426^2 + 0.0620675*b5426*b5427 + 395*b5427 + 0.124135*b5427*
    b5427 + 0.2164185*b5427*b5428 + 522*b5428 + 0.4328375*b5428^2 + 0.0565265*
    b5428*b5429 + 492*b5429 + 0.1130525*b5429^2 + 0.1893865*b5429*b5430 + 837*
    b5430 + 0.378773*b5430^2 + 0.067203*b5430*b5431 + 551*b5431 + 0.1344055*
    b5431^2 + 0.134561*b5431*b5432 + 707*b5432 + 0.2691215*b5432^2 + 0.01913775
    *b5432*b5433 + 407*b5433 + 0.03827545*b5433^2 + 0.1127365*b5433*b5434 + 53*
    b5434 + 0.225473*b5434^2 + 0.2073975*b5434*b5435 + 464*b5435 + 0.414795*
    b5435^2 + 0.1085915*b5435*b5436 + 246*b5436 + 0.2171825*b5436^2 + 0.1363355
    *b5436*b5437 + 982*b5437 + 0.272671*b5437^2 + 0.04909475*b5437*b5438 + 471*
    b5438 + 0.0981895*b5438^2 + 0.141858*b5438*b5439 + 781*b5439 + 0.2837165*
    b5439*b5439 + 0.207385*b5439*b5440 + 236*b5440 + 0.4147705*b5440^2 + 
    0.147925*b5440*b5441 + 286*b5441 + 0.29585*b5441^2 + 0.0058575*b5441*b5442
     + 833*b5442 + 0.011715*b5442^2 + 0.2061555*b5442*b5443 + 242*b5443 + 
    0.4123105*b5443^2 + 0.1497625*b5443*b5444 + 1262*b5444 + 0.2995245*b5444^2
     + 0.121294*b5444*b5445 + 518*b5445 + 0.2425875*b5445*b5445 + 0.233314*
    b5445*b5446 + 898*b5446 + 0.466628*b5446^2 + 0.03180425*b5446*b5447 + 257*
    b5447 + 0.0636085*b5447^2 + 0.088483*b5447*b5448 + 397*b5448 + 0.1769665*
    b5448^2 + 0.150985*b5448*b5449 + 245*b5449 + 0.30197*b5449^2 + 0.1957655*
    b5449*b5450 + 626*b5450 + 0.3915315*b5450^2 + 0.01116405*b5450*b5451 + 720*
    b5451 + 0.0223281*b5451^2 + 0.0638905*b5451*b5452 + 586*b5452 + 0.127781*
    b5452^2 + 0.067501*b5452*b5453 + 1209*b5453 + 0.135002*b5453^2 + 0.1080395*
    b5453*b5454 + 627*b5454 + 0.216079*b5454^2 + 0.041691*b5454*b5455 + 393*
    b5455 + 0.083382*b5455^2 + 0.233215*b5455*b5456 + 278*b5456 + 0.46643*b5456
    ^2 + 0.01270355*b5456*b5457 + 432*b5457 + 0.02540705*b5457^2 + 0.1777405*
    b5457*b5458 + 248*b5458 + 0.355481*b5458^2 + 0.2223435*b5458*b5459 + 408*
    b5459 + 0.444687*b5459^2 + 0.07341*b5459*b5460 + 508*b5460 + 0.1468205*
    b5460^2 + 0.249018*b5460*b5461 + 241*b5461 + 0.498036*b5461^2 + 0.2080195*
    b5461*b5462 + 540*b5462 + 0.416039*b5462*b5462 + 0.056448*b5462*b5463 + 932
    *b5463 + 0.1128965*b5463^2 + 0.0140624*b5463*b5464 + 886*b5464 + 0.0281248*
    b5464^2 + 0.0642465*b5464*b5465 + 395*b5465 + 0.128493*b5465^2 + 0.1167405*
    b5465*b5466 + 536*b5466 + 0.233481*b5466^2 + 0.131706*b5466*b5467 + 412*
    b5467 + 0.2634115*b5467^2 + 0.00916085*b5467*b5468 + 880*b5468 + 0.0183217*
    b5468^2 + 0.03869225*b5468*b5469 + 419*b5469 + 0.0773845*b5469^2 + 0.168056
    *b5469*b5470 + 647*b5470 + 0.3361115*b5470^2 + 0.108804*b5470*b5471 + 631*
    b5471 + 0.2176075*b5471^2 + 0.1291345*b5471*b5472 + 425*b5472 + 0.2582685*
    b5472^2 + 0.172334*b5472*b5473 + 435*b5473 + 0.344668*b5473^2 + 0.2121895*
    b5473*b5474 + 249*b5474 + 0.424379*b5474*b5474 + 0.04869375*b5474*b5475 + 
    527*b5475 + 0.0973875*b5475^2 + 0.109603*b5475*b5476 + 359*b5476 + 0.219206
    *b5476^2 + 0.048068*b5476*b5477 + 210*b5477 + 0.096136*b5477^2 + 0.0244905*
    b5477*b5478 + 716*b5478 + 0.04898105*b5478^2 + 0.1898655*b5478*b5479 + 587*
    b5479 + 0.379731*b5479^2 + 0.1888875*b5479*b5480 + 1254*b5480 + 0.3777755*
    b5480^2 + 0.039944*b5480*b5481 + 395*b5481 + 0.079888*b5481^2 + 0.0538955*
    b5481*b5482 + 752*b5482 + 0.107791*b5482^2 + 0.156194*b5482*b5483 + 476*
    b5483 + 0.312388*b5483^2 + 0.1250625*b5483*b5484 + 607*b5484 + 0.250125*
    b5484^2 + 0.12845*b5484*b5485 + 620*b5485 + 0.2568995*b5485^2 + 0.036876*
    b5485*b5486 + 467*b5486 + 0.073752*b5486^2 + 0.050494*b5486*b5487 + 963*
    b5487 + 0.100988*b5487^2 + 0.163835*b5487*b5488 + 743*b5488 + 0.3276705*
    b5488^2 + 0.197718*b5488*b5489 + 264*b5489 + 0.395436*b5489^2 + 0.01284315*
    b5489*b5490 + 528*b5490 + 0.0256863*b5490^2 + 0.1024275*b5490*b5491 + 380*
    b5491 + 0.204855*b5491*b5491 + 0.2401835*b5491*b5492 + 443*b5492 + 0.480367
    *b5492^2 + 0.223393*b5492*b5493 + 243*b5493 + 0.4467865*b5493^2 + 0.062384*
    b5493*b5494 + 989*b5494 + 0.1247675*b5494^2 + 0.1374545*b5494*b5495 + 400*
    b5495 + 0.2749095*b5495^2 + 0.156167*b5495*b5496 + 448*b5496 + 0.312334*
    b5496^2 + 0.2486185*b5496*b5497 + 247*b5497 + 0.4972375*b5497*b5497 + 
    0.0167825*b5497*b5498 + 549*b5498 + 0.033565*b5498^2 + 0.0704485*b5498*
    b5499 + 543*b5499 + 0.140897*b5499^2 + 0.0063239*b5499*b5500 + 645*b5500 + 
    0.0126478*b5500^2 + 0.080914*b5500*b5501 + 228*b5501 + 0.161828*b5501^2 + 
    0.099*b5501*b5502 + 747*b5502 + 0.198*b5502*b5502 + 0.02443535*b5502*b5503
     + 598*b5503 + 0.0488707*b5503^2 + 0.08066*b5503*b5504 + 590*b5504 + 
    0.1613195*b5504^2 + 0.040423*b5504*b5505 + 657*b5505 + 0.080846*b5505^2 + 
    0.2219635*b5505*b5506 + 987*b5506 + 0.4439275*b5506^2 + 0.0845815*b5506*
    b5507 + 544*b5507 + 0.169163*b5507^2 + 0.1589785*b5507*b5508 + 430*b5508 + 
    0.317957*b5508*b5508 + 0.1238875*b5508*b5509 + 593*b5509 + 0.2477745*b5509^
    2 + 0.205238*b5509*b5510 + 243*b5510 + 0.410476*b5510^2 + 0.030646*b5510*
    b5511 + 489*b5511 + 0.061292*b5511^2 + 0.046948*b5511*b5512 + 410*b5512 + 
    0.093896*b5512^2 + 0.1437935*b5512*b5513 + 453*b5513 + 0.2875875*b5513^2 + 
    0.00534465*b5513*b5514 + 575*b5514 + 0.0106893*b5514^2 + 0.228788*b5514*
    b5515 + 516*b5515 + 0.457576*b5515^2 + 0.1721275*b5515*b5516 + 220*b5516 + 
    0.3442555*b5516^2 + 0.2146355*b5516*b5517 + 429*b5517 + 0.4292715*b5517^2
     + 0.2110105*b5517*b5518 + 275*b5518 + 0.4220215*b5518^2 + 0.136507*b5518*
    b5519 + 361*b5519 + 0.273014*b5519^2 + 0.03428475*b5519*b5520 + 554*b5520
     + 0.0685695*b5520^2 + 0.1499525*b5520*b5521 + 724*b5521 + 0.299905*b5521^2
     + 0.061388*b5521*b5522 + 459*b5522 + 0.122776*b5522^2 + 0.1324*b5522*b5523
     + 235*b5523 + 0.2647995*b5523^2 + 0.099692*b5523*b5524 + 69*b5524 + 
    0.199384*b5524^2 + 0.1286555*b5524*b5525 + 224*b5525 + 0.257311*b5525^2 + 
    0.23247*b5525*b5526 + 838*b5526 + 0.4649395*b5526*b5526 + 0.0779545*b5526*
    b5527 + 369*b5527 + 0.155909*b5527^2 + 0.201226*b5527*b5528 + 410*b5528 + 
    0.4024525*b5528^2 + 0.167982*b5528*b5529 + 232*b5529 + 0.3359645*b5529^2 + 
    0.129535*b5529*b5530 + 383*b5530 + 0.25907*b5530^2 + 0.1167795*b5530*b5531
     + 673*b5531 + 0.2335585*b5531^2 + 0.1289465*b5531*b5532 + 684*b5532 + 
    0.257893*b5532*b5532 + 0.0754855*b5532*b5533 + 721*b5533 + 0.1509705*b5533^
    2 + 0.226279*b5533*b5534 + 454*b5534 + 0.452558*b5534^2 + 0.195199*b5534*
    b5535 + 863*b5535 + 0.3903985*b5535^2 + 0.1951255*b5535*b5536 + 539*b5536
     + 0.3902505*b5536^2 + 0.2337895*b5536*b5537 + 446*b5537 + 0.467579*b5537^2
     + 0.2449905*b5537*b5538 + 374*b5538 + 0.489981*b5538*b5538 + 0.2328985*
    b5538*b5539 + 546*b5539 + 0.465797*b5539^2 + 0.2177605*b5539*b5540 + 536*
    b5540 + 0.435521*b5540^2 + 0.2081105*b5540*b5541 + 412*b5541 + 0.416221*
    b5541^2 + 0.065163*b5541*b5542 + 627*b5542 + 0.1303255*b5542^2 + 5.4246e-5*
    b5542*b5543 + 555*b5543 + 0.0001084925*b5543^2 + 0.0456705*b5543*b5544 + 
    352*b5544 + 0.091341*b5544^2 + 0.09914*b5544*b5545 + 260*b5545 + 0.19828*
    b5545^2 + 0.1570405*b5545*b5546 + 529*b5546 + 0.314081*b5546^2 + 0.075658*
    b5546*b5547 + 692*b5547 + 0.151316*b5547^2 + 0.0830935*b5547*b5548 + 263*
    b5548 + 0.1661875*b5548^2 + 0.244576*b5548*b5549 + 1013*b5549 + 0.489152*
    b5549^2 + 0.000650845*b5549*b5550 + 398*b5550 + 0.00130169*b5550^2 + 
    0.0641685*b5550*b5551 + 371*b5551 + 0.1283375*b5551^2 + 0.04159325*b5551*
    b5552 + 357*b5552 + 0.0831865*b5552^2 + 0.2025235*b5552*b5553 + 905*b5553
     + 0.405047*b5553^2 + 0.1236815*b5553*b5554 + 724*b5554 + 0.2473625*b5554^2
     + 0.049052*b5554*b5555 + 407*b5555 + 0.098104*b5555^2 + 0.091707*b5555*
    b5556 + 414*b5556 + 0.1834135*b5556*b5556 + 0.0215941*b5556*b5557 + 684*
    b5557 + 0.04318815*b5557^2 + 0.1109425*b5557*b5558 + 908*b5558 + 0.2218845*
    b5558^2 + 0.0664715*b5558*b5559 + 446*b5559 + 0.1329435*b5559^2 + 
    0.04611625*b5559*b5560 + 224*b5560 + 0.0922325*b5560^2 + 0.150056*b5560*
    b5561 + 586*b5561 + 0.300112*b5561^2 + 0.2049595*b5561*b5562 + 423*b5562 + 
    0.4099195*b5562*b5562 + 0.1283285*b5562*b5563 + 609*b5563 + 0.2566565*b5563
    ^2 + 0.184299*b5563*b5564 + 470*b5564 + 0.3685985*b5564^2 + 0.0954105*b5564
    *b5565 + 928*b5565 + 0.190821*b5565^2 + 0.0873495*b5565*b5566 + 390*b5566
     + 0.174699*b5566^2 + 0.081153*b5566*b5567 + 376*b5567 + 0.162306*b5567^2
     + 0.078854*b5567*b5568 + 823*b5568 + 0.1577075*b5568^2 + 0.162613*b5568*
    b5569 + 58*b5569 + 0.3252265*b5569^2 + 0.1412765*b5569*b5570 + 543*b5570 + 
    0.282553*b5570^2 + 0.157929*b5570*b5571 + 721*b5571 + 0.3158585*b5571^2 + 
    0.1765995*b5571*b5572 + 240*b5572 + 0.3531995*b5572^2 + 0.2212185*b5572*
    b5573 + 697*b5573 + 0.442437*b5573*b5573 + 0.240534*b5573*b5574 + 939*b5574
     + 0.481068*b5574^2 + 0.183112*b5574*b5575 + 610*b5575 + 0.366224*b5575^2
     + 0.02357805*b5575*b5576 + 786*b5576 + 0.0471561*b5576^2 + 0.105822*b5576*
    b5577 + 545*b5577 + 0.2116435*b5577^2 + 0.0408025*b5577*b5578 + 547*b5578
     + 0.081605*b5578^2 + 0.2218595*b5578*b5579 + 633*b5579 + 0.4437185*b5579*
    b5579 + 0.208599*b5579*b5580 + 255*b5580 + 0.417198*b5580^2 + 0.1545675*
    b5580*b5581 + 493*b5581 + 0.309135*b5581^2 + 0.2250475*b5581*b5582 + 579*
    b5582 + 0.450095*b5582^2 + 0.119125*b5582*b5583 + 71*b5583 + 0.23825*b5583^
    2 + 0.02329655*b5583*b5584 + 712*b5584 + 0.04659315*b5584^2 + 0.165221*
    b5584*b5585 + 1425*b5585 + 0.3304425*b5585^2 + 0.0971005*b5585*b5586 + 757*
    b5586 + 0.1942015*b5586^2 + 0.1619785*b5586*b5587 + 327*b5587 + 0.323957*
    b5587^2 + 0.225945*b5587*b5588 + 1068*b5588 + 0.45189*b5588^2 + 0.194285*
    b5588*b5589 + 609*b5589 + 0.38857*b5589^2 + 0.090835*b5589*b5590 + 349*
    b5590 + 0.18167*b5590^2 + 0.02899925*b5590*b5591 + 483*b5591 + 0.0579985*
    b5591^2 + 0.2459715*b5591*b5592 + 473*b5592 + 0.4919425*b5592^2 + 
    0.04971525*b5592*b5593 + 404*b5593 + 0.0994305*b5593^2 + 0.074249*b5593*
    b5594 + 333*b5594 + 0.148498*b5594^2 + 0.1935175*b5594*b5595 + 869*b5595 + 
    0.387035*b5595^2 + 0.0030795*b5595*b5596 + 1011*b5596 + 0.006159*b5596*
    b5596 + 0.1229185*b5596*b5597 + 820*b5597 + 0.2458365*b5597^2 + 0.2146995*
    b5597*b5598 + 393*b5598 + 0.4293985*b5598^2 + 0.121065*b5598*b5599 + 569*
    b5599 + 0.24213*b5599^2 + 0.238526*b5599*b5600 + 320*b5600 + 0.4770525*
    b5600^2 + 0.2279065*b5600*b5601 + 973*b5601 + 0.4558125*b5601^2 + 0.135419*
    b5601*b5602 + 508*b5602 + 0.2708385*b5602*b5602 + 0.00869485*b5602*b5603 + 
    1030*b5603 + 0.0173897*b5603^2 + 0.071744*b5603*b5604 + 606*b5604 + 
    0.1434885*b5604^2 + 0.1142615*b5604*b5605 + 781*b5605 + 0.2285235*b5605^2
     + 0.210964*b5605*b5606 + 416*b5606 + 0.4219285*b5606^2 + 0.1709325*b5606*
    b5607 + 891*b5607 + 0.341865*b5607^2 + 0.2491375*b5607*b5608 + 440*b5608 + 
    0.4982745*b5608*b5608 + 0.242905*b5608*b5609 + 786*b5609 + 0.4858095*b5609^
    2 + 0.03028825*b5609*b5610 + 619*b5610 + 0.0605765*b5610^2 + 0.003761075*
    b5610*b5611 + 414*b5611 + 0.00752215*b5611^2 + 0.2120675*b5611*b5612 + 396*
    b5612 + 0.4241345*b5612^2 + 0.158347*b5612*b5613 + 548*b5613 + 0.3166935*
    b5613^2 + 0.03245825*b5613*b5614 + 746*b5614 + 0.0649165*b5614^2 + 
    0.01881785*b5614*b5615 + 111*b5615 + 0.0376357*b5615^2 + 0.206558*b5615*
    b5616 + 240*b5616 + 0.4131155*b5616^2 + 0.00821575*b5616*b5617 + 824*b5617
     + 0.0164315*b5617^2 + 0.219248*b5617*b5618 + 1475*b5618 + 0.438496*b5618^2
     + 0.163946*b5618*b5619 + 492*b5619 + 0.3278925*b5619^2 + 0.045352*b5619*
    b5620 + 789*b5620 + 0.090704*b5620*b5620 + 0.2174815*b5620*b5621 + 414*
    b5621 + 0.434963*b5621^2 + 0.1062725*b5621*b5622 + 716*b5622 + 0.2125455*
    b5622^2 + 0.212272*b5622*b5623 + 406*b5623 + 0.424544*b5623^2 + 0.094522*
    b5623*b5624 + 452*b5624 + 0.1890435*b5624^2 + 0.01318935*b5624*b5625 + 46*
    b5625 + 0.0263787*b5625^2 + 0.190798*b5625*b5626 + 580*b5626 + 0.381596*
    b5626*b5626 + 0.01956125*b5626*b5627 + 408*b5627 + 0.0391225*b5627^2 + 
    0.01622585*b5627*b5628 + 409*b5628 + 0.0324517*b5628^2 + 0.073529*b5628*
    b5629 + 640*b5629 + 0.1470575*b5629^2 + 0.1625175*b5629*b5630 + 223*b5630
     + 0.325035*b5630^2 + 0.131594*b5630*b5631 + 397*b5631 + 0.2631885*b5631^2
     + 0.0094791*b5631*b5632 + 533*b5632 + 0.0189582*b5632^2 + 0.11046*b5632*
    b5633 + 186*b5633 + 0.22092*b5633^2 + 0.198499*b5633*b5634 + 415*b5634 + 
    0.3969975*b5634^2 + 0.210904*b5634*b5635 + 585*b5635 + 0.4218075*b5635^2 + 
    0.147374*b5635*b5636 + 408*b5636 + 0.294748*b5636^2 + 0.03589525*b5636*
    b5637 + 647*b5637 + 0.0717905*b5637^2 + 0.0300005*b5637*b5638 + 323*b5638
     + 0.060001*b5638*b5638 + 0.1633185*b5638*b5639 + 520*b5639 + 0.326637*
    b5639^2 + 0.1599725*b5639*b5640 + 735*b5640 + 0.3199445*b5640^2 + 0.0419095
    *b5640*b5641 + 555*b5641 + 0.083819*b5641^2 + 0.04253225*b5641*b5642 + 641*
    b5642 + 0.0850645*b5642^2 + 0.235394*b5642*b5643 + 556*b5643 + 0.470788*
    b5643^2 + 0.218667*b5643*b5644 + 450*b5644 + 0.437334*b5644*b5644 + 
    0.232924*b5644*b5645 + 749*b5645 + 0.4658475*b5645^2 + 0.077046*b5645*b5646
     + 387*b5646 + 0.1540925*b5646^2 + 0.185986*b5646*b5647 + 945*b5647 + 
    0.3719725*b5647^2 + 0.0521605*b5647*b5648 + 773*b5648 + 0.104321*b5648^2 + 
    0.164912*b5648*b5649 + 643*b5649 + 0.329824*b5649^2 + 0.1637655*b5649*b5650
     + 544*b5650 + 0.3275305*b5650^2 + 0.2015635*b5650*b5651 + 319*b5651 + 
    0.403127*b5651^2 + 0.146671*b5651*b5652 + 735*b5652 + 0.293342*b5652^2 + 
    0.054696*b5652*b5653 + 385*b5653 + 0.109392*b5653^2 + 0.155011*b5653*b5654
     + 723*b5654 + 0.310022*b5654^2 + 0.1142915*b5654*b5655 + 523*b5655 + 
    0.228583*b5655*b5655 + 0.1435815*b5655*b5656 + 475*b5656 + 0.287163*b5656^2
     + 0.067478*b5656*b5657 + 576*b5657 + 0.1349555*b5657^2 + 0.04326*b5657*
    b5658 + 414*b5658 + 0.08652*b5658^2 + 0.1975955*b5658*b5659 + 668*b5659 + 
    0.3951915*b5659^2 + 0.121802*b5659*b5660 + 517*b5660 + 0.243604*b5660^2 + 
    0.1767545*b5660*b5661 + 280*b5661 + 0.3535085*b5661*b5661 + 0.195959*b5661*
    b5662 + 547*b5662 + 0.391918*b5662^2 + 0.0284175*b5662*b5663 + 451*b5663 + 
    0.056835*b5663^2 + 0.0631965*b5663*b5664 + 932*b5664 + 0.1263935*b5664^2 + 
    0.2124615*b5664*b5665 + 273*b5665 + 0.424923*b5665^2 + 0.0933645*b5665*
    b5666 + 455*b5666 + 0.1867295*b5666^2 + 0.0964405*b5666*b5667 + 484*b5667
     + 0.1928805*b5667^2 + 0.04893975*b5667*b5668 + 866*b5668 + 0.0978795*b5668
    ^2 + 0.066085*b5668*b5669 + 211*b5669 + 0.13217*b5669^2 + 0.109424*b5669*
    b5670 + 641*b5670 + 0.2188475*b5670^2 + 0.185904*b5670*b5671 + 318*b5671 + 
    0.3718075*b5671^2 + 0.1712095*b5671*b5672 + 479*b5672 + 0.3424195*b5672^2
     + 0.2014315*b5672*b5673 + 498*b5673 + 0.402863*b5673*b5673 + 0.1352365*
    b5673*b5674 + 869*b5674 + 0.2704735*b5674^2 + 0.235284*b5674*b5675 + 695*
    b5675 + 0.470568*b5675^2 + 0.197399*b5675*b5676 + 391*b5676 + 0.3947985*
    b5676^2 + 0.0707245*b5676*b5677 + 779*b5677 + 0.141449*b5677^2 + 0.02851975
    *b5677*b5678 + 988*b5678 + 0.0570395*b5678^2 + 0.1471505*b5678*b5679 + 389*
    b5679 + 0.2943005*b5679^2 + 0.0240391*b5679*b5680 + 1007*b5680 + 0.04807815
    *b5680^2 + 0.0908255*b5680*b5681 + 893*b5681 + 0.1816515*b5681^2 + 
    0.2011855*b5681*b5682 + 794*b5682 + 0.402371*b5682^2 + 0.1647125*b5682*
    b5683 + 485*b5683 + 0.3294245*b5683^2 + 0.1678815*b5683*b5684 + 736*b5684
     + 0.335763*b5684^2 + 0.1477885*b5684*b5685 + 639*b5685 + 0.295577*b5685*
    b5685 + 0.01811505*b5685*b5686 + 487*b5686 + 0.0362301*b5686^2 + 0.1401575*
    b5686*b5687 + 633*b5687 + 0.280315*b5687^2 + 0.2324275*b5687*b5688 + 850*
    b5688 + 0.4648545*b5688^2 + 0.2183935*b5688*b5689 + 434*b5689 + 0.4367875*
    b5689^2 + 0.1612505*b5689*b5690 + 622*b5690 + 0.322501*b5690^2 + 0.0727875*
    b5690*b5691 + 309*b5691 + 0.1455755*b5691*b5691 + 0.245657*b5691*b5692 + 
    820*b5692 + 0.4913135*b5692^2 + 0.208779*b5692*b5693 + 968*b5693 + 
    0.4175575*b5693^2 + 0.0640595*b5693*b5694 + 391*b5694 + 0.128119*b5694^2 + 
    0.2222255*b5694*b5695 + 575*b5695 + 0.4444505*b5695^2 + 0.089722*b5695*
    b5696 + 608*b5696 + 0.1794435*b5696^2 + 0.067013*b5696*b5697 + 509*b5697 + 
    0.134026*b5697*b5697 + 0.0390995*b5697*b5698 + 852*b5698 + 0.078199*b5698^2
     + 0.0653145*b5698*b5699 + 625*b5699 + 0.130629*b5699^2 + 0.045498*b5699*
    b5700 + 566*b5700 + 0.090996*b5700^2 + 0.189018*b5700*b5701 + 1078*b5701 + 
    0.3780365*b5701^2 + 0.1843845*b5701*b5702 + 806*b5702 + 0.368769*b5702^2 + 
    0.173751*b5702*b5703 + 377*b5703 + 0.3475025*b5703*b5703 + 0.1942425*b5703*
    b5704 + 352*b5704 + 0.3884845*b5704^2 + 0.132946*b5704*b5705 + 708*b5705 + 
    0.2658915*b5705^2 + 0.110752*b5705*b5706 + 436*b5706 + 0.2215045*b5706^2 + 
    0.0625455*b5706*b5707 + 601*b5707 + 0.125091*b5707^2 + 0.0255195*b5707*
    b5708 + 802*b5708 + 0.051039*b5708^2 + 0.028168*b5708*b5709 + 514*b5709 + 
    0.056336*b5709*b5709 + 0.2328515*b5709*b5710 + 537*b5710 + 0.465703*b5710^2
     + 0.0123449*b5710*b5711 + 810*b5711 + 0.02468985*b5711^2 + 0.0961295*b5711
    *b5712 + 1036*b5712 + 0.192259*b5712^2 + 0.040203*b5712*b5713 + 961*b5713
     + 0.080406*b5713^2 + 0.131567*b5713*b5714 + 767*b5714 + 0.2631335*b5714^2
     + 0.00115366*b5714*b5715 + 1209*b5715 + 0.00230732*b5715^2 + 0.050977*
    b5715*b5716 + 903*b5716 + 0.1019535*b5716^2 + 0.1862615*b5716*b5717 + 248*
    b5717 + 0.372523*b5717^2 + 0.0379325*b5717*b5718 + 813*b5718 + 0.075865*
    b5718^2 + 0.0999135*b5718*b5719 + 70*b5719 + 0.199827*b5719^2 + 0.1098565*
    b5719*b5720 + 836*b5720 + 0.219713*b5720^2 + 0.060817*b5720*b5721 + 1063*
    b5721 + 0.1216335*b5721*b5721 + 0.0468565*b5721*b5722 + 250*b5722 + 
    0.093713*b5722^2 + 0.06895*b5722*b5723 + 412*b5723 + 0.1378995*b5723^2 + 
    0.01273785*b5723*b5724 + 433*b5724 + 0.0254757*b5724^2 + 0.2329005*b5724*
    b5725 + 385*b5725 + 0.4658005*b5725^2 + 0.080793*b5725*b5726 + 705*b5726 + 
    0.1615865*b5726^2 + 0.0829655*b5726*b5727 + 530*b5727 + 0.1659305*b5727^2
     + 0.211933*b5727*b5728 + 643*b5728 + 0.4238665*b5728^2 + 0.171506*b5728*
    b5729 + 691*b5729 + 0.3430115*b5729^2 + 0.179137*b5729*b5730 + 318*b5730 + 
    0.3582745*b5730^2 + 0.1302245*b5730*b5731 + 691*b5731 + 0.260449*b5731^2 + 
    0.0563625*b5731*b5732 + 585*b5732 + 0.1127245*b5732^2 + 0.0688095*b5732*
    b5733 + 433*b5733 + 0.137619*b5733*b5733 + 0.2255785*b5733*b5734 + 229*
    b5734 + 0.451157*b5734^2 + 0.02023395*b5734*b5735 + 429*b5735 + 0.0404679*
    b5735^2 + 0.104578*b5735*b5736 + 1348*b5736 + 0.209156*b5736^2 + 0.189267*
    b5736*b5737 + 711*b5737 + 0.3785345*b5737^2 + 0.063988*b5737*b5738 + 51*
    b5738 + 0.1279765*b5738^2 + 0.037019*b5738*b5739 + 746*b5739 + 0.074038*
    b5739*b5739 + 0.075359*b5739*b5740 + 588*b5740 + 0.1507175*b5740^2 + 
    0.2289385*b5740*b5741 + 769*b5741 + 0.4578765*b5741^2 + 0.2253845*b5741*
    b5742 + 489*b5742 + 0.450769*b5742^2 + 0.0563205*b5742*b5743 + 289*b5743 + 
    0.1126405*b5743^2 + 0.2019875*b5743*b5744 + 773*b5744 + 0.4039745*b5744^2
     + 0.039076*b5744*b5745 + 651*b5745 + 0.078152*b5745*b5745 + 0.175255*b5745
    *b5746 + 687*b5746 + 0.35051*b5746^2 + 0.0943515*b5746*b5747 + 767*b5747 + 
    0.1887035*b5747^2 + 0.01962095*b5747*b5748 + 522*b5748 + 0.03924195*b5748^2
     + 0.190873*b5748*b5749 + 395*b5749 + 0.3817465*b5749^2 + 0.052056*b5749*
    b5750 + 473*b5750 + 0.104112*b5750^2 + 0.1117695*b5750*b5751 + 656*b5751 + 
    0.2235385*b5751^2 + 0.04836725*b5751*b5752 + 515*b5752 + 0.0967345*b5752^2
     + 0.058786*b5752*b5753 + 584*b5753 + 0.1175725*b5753^2 + 0.1932775*b5753*
    b5754 + 525*b5754 + 0.386555*b5754^2 + 0.0642645*b5754*b5755 + 543*b5755 + 
    0.128529*b5755^2 + 0.163128*b5755*b5756 + 770*b5756 + 0.326256*b5756*b5756
     + 0.159539*b5756*b5757 + 589*b5757 + 0.319078*b5757^2 + 0.1370535*b5757*
    b5758 + 467*b5758 + 0.274107*b5758^2 + 0.07651*b5758*b5759 + 589*b5759 + 
    0.15302*b5759^2 + 0.003284525*b5759*b5760 + 765*b5760 + 0.00656905*b5760^2
     + 0.1798465*b5760*b5761 + 52*b5761 + 0.359693*b5761^2 + 0.1460645*b5761*
    b5762 + 55*b5762 + 0.2921285*b5762*b5762 + 0.057411*b5762*b5763 + 401*b5763
     + 0.114822*b5763^2 + 0.0080174*b5763*b5764 + 491*b5764 + 0.0160348*b5764^2
     + 0.193926*b5764*b5765 + 378*b5765 + 0.3878515*b5765^2 + 0.249671*b5765*
    b5766 + 427*b5766 + 0.499342*b5766^2 + 0.1288155*b5766*b5767 + 206*b5767 + 
    0.257631*b5767^2 + 0.153069*b5767*b5768 + 659*b5768 + 0.306138*b5768*b5768
     + 0.040184*b5768*b5769 + 453*b5769 + 0.080368*b5769^2 + 0.089725*b5769*
    b5770 + 400*b5770 + 0.1794495*b5770^2 + 0.142651*b5770*b5771 + 796*b5771 + 
    0.285302*b5771^2 + 0.139803*b5771*b5772 + 586*b5772 + 0.279606*b5772^2 + 
    0.0053742*b5772*b5773 + 338*b5773 + 0.01074835*b5773^2 + 0.0231194*b5773*
    b5774 + 631*b5774 + 0.04623875*b5774^2 + 0.219131*b5774*b5775 + 1079*b5775
     + 0.4382615*b5775^2 + 0.0712775*b5775*b5776 + 363*b5776 + 0.142555*b5776^2
     + 0.1692955*b5776*b5777 + 984*b5777 + 0.3385905*b5777^2 + 0.1609195*b5777*
    b5778 + 1198*b5778 + 0.321839*b5778^2 + 0.062413*b5778*b5779 + 755*b5779 + 
    0.124826*b5779*b5779 + 0.0082921*b5779*b5780 + 660*b5780 + 0.0165842*b5780^
    2 + 0.1107175*b5780*b5781 + 852*b5781 + 0.221435*b5781^2 + 0.0602245*b5781*
    b5782 + 749*b5782 + 0.1204485*b5782^2 + 0.2253885*b5782*b5783 + 172*b5783
     + 0.4507765*b5783^2 + 0.1822495*b5783*b5784 + 721*b5784 + 0.3644985*b5784^
    2 + 0.0141748*b5784*b5785 + 696*b5785 + 0.02834955*b5785^2 + 0.116101*b5785
    *b5786 + 438*b5786 + 0.2322015*b5786^2 + 0.1005185*b5786*b5787 + 627*b5787
     + 0.201037*b5787^2 + 0.1277815*b5787*b5788 + 652*b5788 + 0.2555635*b5788^2
     + 0.115748*b5788*b5789 + 533*b5789 + 0.231496*b5789^2 + 0.050955*b5789*
    b5790 + 402*b5790 + 0.1019095*b5790^2 + 0.1129875*b5790*b5791 + 438*b5791
     + 0.2259755*b5791^2 + 0.02206955*b5791*b5792 + 643*b5792 + 0.0441391*b5792
    ^2 + 0.114598*b5792*b5793 + 404*b5793 + 0.229196*b5793^2 + 0.134445*b5793*
    b5794 + 404*b5794 + 0.2688905*b5794^2 + 0.173057*b5794*b5795 + 547*b5795 + 
    0.3461135*b5795^2 + 0.01714505*b5795*b5796 + 726*b5796 + 0.0342901*b5796^2
     + 0.206275*b5796*b5797 + 407*b5797 + 0.4125505*b5797*b5797 + 0.1026*b5797*
    b5798 + 466*b5798 + 0.2052*b5798^2 + 0.1645795*b5798*b5799 + 243*b5799 + 
    0.329159*b5799^2 + 0.156126*b5799*b5800 + 427*b5800 + 0.312252*b5800^2 + 
    0.2260405*b5800*b5801 + 775*b5801 + 0.452081*b5801^2 + 0.044169*b5801*b5802
     + 972*b5802 + 0.088338*b5802*b5802 + 0.2239415*b5802*b5803 + 368*b5803 + 
    0.447883*b5803^2 + 0.204952*b5803*b5804 + 380*b5804 + 0.409904*b5804^2 + 
    0.1183245*b5804*b5805 + 574*b5805 + 0.2366485*b5805^2 + 0.148912*b5805*
    b5806 + 614*b5806 + 0.2978245*b5806^2 + 0.083184*b5806*b5807 + 339*b5807 + 
    0.1663675*b5807^2 + 0.1543845*b5807*b5808 + 62*b5808 + 0.3087685*b5808*
    b5808 + 0.0605445*b5808*b5809 + 449*b5809 + 0.1210885*b5809^2 + 0.1035945*
    b5809*b5810 + 66*b5810 + 0.207189*b5810^2 + 0.2494795*b5810*b5811 + 501*
    b5811 + 0.4989585*b5811^2 + 0.23467*b5811*b5812 + 379*b5812 + 0.4693395*
    b5812^2 + 0.212933*b5812*b5813 + 529*b5813 + 0.4258655*b5813^2 + 0.1956275*
    b5813*b5814 + 269*b5814 + 0.391255*b5814*b5814 + 0.2050805*b5814*b5815 + 
    1368*b5815 + 0.410161*b5815^2 + 0.197696*b5815*b5816 + 389*b5816 + 0.395392
    *b5816^2 + 0.1464305*b5816*b5817 + 738*b5817 + 0.2928615*b5817^2 + 0.051289
    *b5817*b5818 + 229*b5818 + 0.102578*b5818^2 + 0.1402885*b5818*b5819 + 611*
    b5819 + 0.2805765*b5819^2 + 0.096871*b5819*b5820 + 779*b5820 + 0.1937415*
    b5820*b5820 + 0.092211*b5820*b5821 + 552*b5821 + 0.1844225*b5821^2 + 
    0.171339*b5821*b5822 + 394*b5822 + 0.3426775*b5822^2 + 0.2274685*b5822*
    b5823 + 606*b5823 + 0.4549375*b5823^2 + 0.096559*b5823*b5824 + 380*b5824 + 
    0.1931185*b5824^2 + 0.07071*b5824*b5825 + 567*b5825 + 0.14142*b5825^2 + 
    0.03586225*b5825*b5826 + 906*b5826 + 0.0717245*b5826^2 + 0.167842*b5826*
    b5827 + 741*b5827 + 0.3356845*b5827^2 + 0.189294*b5827*b5828 + 247*b5828 + 
    0.3785875*b5828^2 + 0.0066736*b5828*b5829 + 900*b5829 + 0.0133472*b5829^2
     + 0.001114135*b5829*b5830 + 549*b5830 + 0.00222827*b5830^2 + 0.1146285*
    b5830*b5831 + 618*b5831 + 0.2292565*b5831^2 + 0.1913005*b5831*b5832 + 509*
    b5832 + 0.3826015*b5832^2 + 0.165448*b5832*b5833 + 643*b5833 + 0.3308965*
    b5833^2 + 0.00169416*b5833*b5834 + 255*b5834 + 0.00338832*b5834^2 + 
    0.107796*b5834*b5835 + 1058*b5835 + 0.215592*b5835^2 + 0.0727565*b5835*
    b5836 + 658*b5836 + 0.1455135*b5836^2 + 0.0184977*b5836*b5837 + 458*b5837
     + 0.03699545*b5837^2 + 0.0160962*b5837*b5838 + 259*b5838 + 0.03219235*
    b5838^2 + 0.09775*b5838*b5839 + 714*b5839 + 0.1955005*b5839^2 + 0.1473265*
    b5839*b5840 + 434*b5840 + 0.294653*b5840^2 + 0.0952845*b5840*b5841 + 690*
    b5841 + 0.1905685*b5841^2 + 0.069315*b5841*b5842 + 445*b5842 + 0.13863*
    b5842^2 + 0.1155555*b5842*b5843 + 214*b5843 + 0.2311115*b5843*b5843 + 
    0.04585325*b5843*b5844 + 428*b5844 + 0.0917065*b5844^2 + 0.070522*b5844*
    b5845 + 692*b5845 + 0.1410445*b5845^2 + 0.128341*b5845*b5846 + 505*b5846 + 
    0.2566825*b5846^2 + 0.00123597*b5846*b5847 + 690*b5847 + 0.00247194*b5847^2
     + 0.143303*b5847*b5848 + 659*b5848 + 0.2866065*b5848^2 + 0.1638525*b5848*
    b5849 + 468*b5849 + 0.327705*b5849*b5849 + 0.0575995*b5849*b5850 + 444*
    b5850 + 0.1151995*b5850^2 + 0.249156*b5850*b5851 + 53*b5851 + 0.4983125*
    b5851^2 + 0.124959*b5851*b5852 + 385*b5852 + 0.2499185*b5852^2 + 0.150657*
    b5852*b5853 + 270*b5853 + 0.3013135*b5853^2 + 0.132482*b5853*b5854 + 411*
    b5854 + 0.2649635*b5854^2 + 0.127237*b5854*b5855 + 647*b5855 + 0.2544735*
    b5855*b5855 + 0.1424515*b5855*b5856 + 260*b5856 + 0.284903*b5856^2 + 
    0.076927*b5856*b5857 + 1068*b5857 + 0.153854*b5857^2 + 0.0523435*b5857*
    b5858 + 431*b5858 + 0.1046865*b5858^2 + 0.1556785*b5858*b5859 + 633*b5859
     + 0.311357*b5859^2 + 0.224481*b5859*b5860 + 860*b5860 + 0.448962*b5860^2
     + 0.249027*b5860*b5861 + 687*b5861 + 0.498054*b5861^2 + 0.203352*b5861*
    b5862 + 431*b5862 + 0.406704*b5862^2 + 0.199858*b5862*b5863 + 873*b5863 + 
    0.3997165*b5863^2 + 0.069711*b5863*b5864 + 538*b5864 + 0.1394215*b5864^2 + 
    0.123476*b5864*b5865 + 702*b5865 + 0.2469525*b5865^2 + 0.15812*b5865*b5866
     + 458*b5866 + 0.31624*b5866*b5866 + 0.0200181*b5866*b5867 + 412*b5867 + 
    0.0400362*b5867^2 + 0.2002145*b5867*b5868 + 489*b5868 + 0.4004295*b5868^2
     + 0.0675615*b5868*b5869 + 640*b5869 + 0.1351225*b5869^2 + 0.0720375*b5869*
    b5870 + 492*b5870 + 0.144075*b5870^2 + 0.16594*b5870*b5871 + 448*b5871 + 
    0.33188*b5871^2 + 0.003994725*b5871*b5872 + 511*b5872 + 0.00798945*b5872^2
     + 0.1180395*b5872*b5873 + 463*b5873 + 0.2360795*b5873^2 + 0.03803175*b5873
    *b5874 + 879*b5874 + 0.0760635*b5874^2 + 0.0534695*b5874*b5875 + 449*b5875
     + 0.106939*b5875^2 + 0.01554845*b5875*b5876 + 561*b5876 + 0.0310969*b5876^
    2 + 0.160266*b5876*b5877 + 1195*b5877 + 0.320532*b5877^2 + 0.136294*b5877*
    b5878 + 682*b5878 + 0.272588*b5878*b5878 + 0.04231775*b5878*b5879 + 433*
    b5879 + 0.0846355*b5879^2 + 0.2250215*b5879*b5880 + 584*b5880 + 0.450043*
    b5880^2 + 0.111437*b5880*b5881 + 532*b5881 + 0.2228735*b5881^2 + 0.100693*
    b5881*b5882 + 488*b5882 + 0.2013865*b5882^2 + 0.063349*b5882*b5883 + 682*
    b5883 + 0.1266985*b5883^2 + 0.1930005*b5883*b5884 + 585*b5884 + 0.386001*
    b5884*b5884 + 0.202672*b5884*b5885 + 515*b5885 + 0.4053445*b5885^2 + 
    0.1775075*b5885*b5886 + 392*b5886 + 0.355015*b5886^2 + 0.0482925*b5886*
    b5887 + 700*b5887 + 0.096585*b5887^2 + 0.125353*b5887*b5888 + 699*b5888 + 
    0.250706*b5888^2 + 0.20206*b5888*b5889 + 424*b5889 + 0.40412*b5889^2 + 
    0.1823155*b5889*b5890 + 833*b5890 + 0.364631*b5890^2 + 0.1418985*b5890*
    b5891 + 467*b5891 + 0.283797*b5891^2 + 0.182317*b5891*b5892 + 301*b5892 + 
    0.3646345*b5892^2 + 0.1714965*b5892*b5893 + 346*b5893 + 0.342993*b5893^2 + 
    0.0522055*b5893*b5894 + 628*b5894 + 0.1044105*b5894^2 + 0.168223*b5894*
    b5895 + 515*b5895 + 0.3364455*b5895*b5895 + 0.0600115*b5895*b5896 + 1205*
    b5896 + 0.1200225*b5896^2 + 0.03291575*b5896*b5897 + 484*b5897 + 0.0658315*
    b5897^2 + 0.03140125*b5897*b5898 + 809*b5898 + 0.0628025*b5898^2 + 0.07473*
    b5898*b5899 + 275*b5899 + 0.1494605*b5899^2 + 0.200946*b5899*b5900 + 853*
    b5900 + 0.4018915*b5900^2 + 0.222267*b5900*b5901 + 846*b5901 + 0.4445335*
    b5901*b5901 + 0.0797875*b5901*b5902 + 246*b5902 + 0.159575*b5902^2 + 
    0.240776*b5902*b5903 + 927*b5903 + 0.481552*b5903^2 + 0.003370225*b5903*
    b5904 + 566*b5904 + 0.00674045*b5904^2 + 0.06513*b5904*b5905 + 1074*b5905
     + 0.1302595*b5905^2 + 0.1461715*b5905*b5906 + 558*b5906 + 0.2923435*b5906^
    2 + 0.099402*b5906*b5907 + 606*b5907 + 0.198804*b5907*b5907 + 0.0538545*
    b5907*b5908 + 448*b5908 + 0.107709*b5908^2 + 0.1522385*b5908*b5909 + 659*
    b5909 + 0.304477*b5909^2 + 0.0356355*b5909*b5910 + 330*b5910 + 0.071271*
    b5910^2 + 0.1186075*b5910*b5911 + 430*b5911 + 0.2372155*b5911^2 + 0.1755155
    *b5911*b5912 + 243*b5912 + 0.3510305*b5912^2 + 0.1824965*b5912*b5913 + 458*
    b5913 + 0.364993*b5913*b5913 + 0.2431745*b5913*b5914 + 626*b5914 + 0.486349
    *b5914^2 + 0.01384035*b5914*b5915 + 211*b5915 + 0.0276807*b5915^2 + 
    0.185985*b5915*b5916 + 402*b5916 + 0.37197*b5916^2 + 0.182196*b5916*b5917
     + 474*b5917 + 0.364392*b5917^2 + 0.2007825*b5917*b5918 + 619*b5918 + 
    0.401565*b5918^2 + 0.1691795*b5918*b5919 + 226*b5919 + 0.3383585*b5919*
    b5919 + 0.057605*b5919*b5920 + 472*b5920 + 0.11521*b5920^2 + 0.1272735*
    b5920*b5921 + 742*b5921 + 0.2545465*b5921^2 + 0.145825*b5921*b5922 + 631*
    b5922 + 0.2916495*b5922^2 + 0.165899*b5922*b5923 + 414*b5923 + 0.331798*
    b5923^2 + 0.0030573*b5923*b5924 + 719*b5924 + 0.0061146*b5924^2 + 
    0.01969045*b5924*b5925 + 309*b5925 + 0.03938095*b5925^2 + 0.136054*b5925*
    b5926 + 225*b5926 + 0.2721085*b5926^2 + 0.1089465*b5926*b5927 + 136*b5927
     + 0.217893*b5927^2 + 0.1673535*b5927*b5928 + 541*b5928 + 0.3347065*b5928^2
     + 0.121528*b5928*b5929 + 966*b5929 + 0.2430555*b5929^2 + 0.110434*b5929*
    b5930 + 1022*b5930 + 0.2208685*b5930^2 + 0.2213025*b5930*b5931 + 607*b5931
     + 0.442605*b5931*b5931 + 0.1445915*b5931*b5932 + 214*b5932 + 0.289183*
    b5932^2 + 0.0859925*b5932*b5933 + 528*b5933 + 0.1719845*b5933^2 + 0.1120365
    *b5933*b5934 + 618*b5934 + 0.224073*b5934^2 + 0.1775085*b5934*b5935 + 650*
    b5935 + 0.3550175*b5935^2 + 0.014474*b5935*b5936 + 323*b5936 + 0.028948*
    b5936^2 + 0.1481955*b5936*b5937 + 399*b5937 + 0.2963905*b5937*b5937 + 
    0.02510375*b5937*b5938 + 546*b5938 + 0.0502075*b5938^2 + 0.059277*b5938*
    b5939 + 1329*b5939 + 0.118554*b5939^2 + 0.121277*b5939*b5940 + 677*b5940 + 
    0.2425535*b5940^2 + 0.0938095*b5940*b5941 + 359*b5941 + 0.187619*b5941^2 + 
    0.097232*b5941*b5942 + 573*b5942 + 0.194464*b5942^2 + 0.0921965*b5942*b5943
     + 719*b5943 + 0.184393*b5943^2 + 0.1801975*b5943*b5944 + 496*b5944 + 
    0.360395*b5944^2 + 0.09571*b5944*b5945 + 392*b5945 + 0.19142*b5945^2 + 
    0.112766*b5945*b5946 + 398*b5946 + 0.225532*b5946^2 + 0.01947075*b5946*
    b5947 + 694*b5947 + 0.0389415*b5947^2 + 0.069935*b5947*b5948 + 1033*b5948
     + 0.13987*b5948^2 + 0.1004895*b5948*b5949 + 865*b5949 + 0.200979*b5949^2
     + 0.1649435*b5949*b5950 + 973*b5950 + 0.3298865*b5950^2 + 0.194734*b5950*
    b5951 + 779*b5951 + 0.3894675*b5951^2 + 0.0216619*b5951*b5952 + 571*b5952
     + 0.04332385*b5952^2 + 0.03360625*b5952*b5953 + 424*b5953 + 0.0672125*
    b5953^2 + 0.2256015*b5953*b5954 + 472*b5954 + 0.4512025*b5954^2 + 0.112685*
    b5954*b5955 + 563*b5955 + 0.2253695*b5955^2 + 0.1874265*b5955*b5956 + 275*
    b5956 + 0.374853*b5956^2 + 0.007724*b5956*b5957 + 406*b5957 + 0.015448*
    b5957^2 + 0.1246095*b5957*b5958 + 564*b5958 + 0.249219*b5958^2 + 0.062462*
    b5958*b5959 + 954*b5959 + 0.1249235*b5959*b5959 + 0.201175*b5959*b5960 + 
    856*b5960 + 0.4023495*b5960^2 + 0.097922*b5960*b5961 + 516*b5961 + 0.195844
    *b5961^2 + 0.0721495*b5961*b5962 + 509*b5962 + 0.1442995*b5962^2 + 
    0.2141395*b5962*b5963 + 530*b5963 + 0.4282785*b5963^2 + 0.133028*b5963*
    b5964 + 552*b5964 + 0.2660565*b5964^2 + 0.00656945*b5964*b5965 + 724*b5965
     + 0.01313895*b5965^2 + 0.0922485*b5965*b5966 + 464*b5966 + 0.1844965*b5966
    ^2 + 0.133394*b5966*b5967 + 510*b5967 + 0.2667875*b5967^2 + 0.0543505*b5967
    *b5968 + 825*b5968 + 0.1087005*b5968^2 + 0.0594015*b5968*b5969 + 636*b5969
     + 0.1188025*b5969^2 + 0.1107485*b5969*b5970 + 327*b5970 + 0.2214965*b5970^
    2 + 0.193438*b5970*b5971 + 399*b5971 + 0.386876*b5971*b5971 + 0.2314265*
    b5971*b5972 + 471*b5972 + 0.462853*b5972^2 + 0.068282*b5972*b5973 + 1079*
    b5973 + 0.1365635*b5973^2 + 0.2020755*b5973*b5974 + 686*b5974 + 0.4041515*
    b5974^2 + 0.2280825*b5974*b5975 + 584*b5975 + 0.456165*b5975^2 + 0.0590365*
    b5975*b5976 + 374*b5976 + 0.118073*b5976^2 + 0.1411485*b5976*b5977 + 462*
    b5977 + 0.2822975*b5977*b5977 + 0.119949*b5977*b5978 + 415*b5978 + 
    0.2398975*b5978^2 + 0.1896415*b5978*b5979 + 524*b5979 + 0.379283*b5979^2 + 
    0.1632975*b5979*b5980 + 693*b5980 + 0.326595*b5980^2 + 0.060147*b5980*b5981
     + 528*b5981 + 0.1202945*b5981^2 + 0.061314*b5981*b5982 + 630*b5982 + 
    0.122628*b5982^2 + 0.215241*b5982*b5983 + 1033*b5983 + 0.4304815*b5983*
    b5983 + 0.242434*b5983*b5984 + 542*b5984 + 0.4848685*b5984^2 + 0.181463*
    b5984*b5985 + 928*b5985 + 0.3629255*b5985^2 + 0.0145933*b5985*b5986 + 705*
    b5986 + 0.0291866*b5986^2 + 0.2208115*b5986*b5987 + 551*b5987 + 0.441623*
    b5987^2 + 0.196723*b5987*b5988 + 716*b5988 + 0.3934465*b5988^2 + 0.1838555*
    b5988*b5989 + 429*b5989 + 0.367711*b5989*b5989 + 0.2432205*b5989*b5990 + 
    511*b5990 + 0.486441*b5990^2 + 0.06471*b5990*b5991 + 1238*b5991 + 0.1294205
    *b5991^2 + 0.03558825*b5991*b5992 + 278*b5992 + 0.0711765*b5992^2 + 
    0.133823*b5992*b5993 + 788*b5993 + 0.267646*b5993^2 + 0.162289*b5993*b5994
     + 507*b5994 + 0.324578*b5994^2 + 0.059523*b5994*b5995 + 218*b5995 + 
    0.1190465*b5995*b5995 + 0.149894*b5995*b5996 + 576*b5996 + 0.299788*b5996^2
     + 0.185899*b5996*b5997 + 430*b5997 + 0.3717975*b5997^2 + 0.1227025*b5997*
    b5998 + 1031*b5998 + 0.245405*b5998^2 + 0.121081*b5998*b5999 + 422*b5999 + 
    0.2421615*b5999^2 + 0.014589*b5999*b6000 + 609*b6000 + 0.029178*b6000*b6000
     + 0.2358995*b6000*b6001 + 265*b6001 + 0.471799*b6001^2 + 0.0821735*b6001*
    b6002 + 467*b6002 + 0.164347*b6002^2 + 0.181606*b6002*b6003 + 401*b6003 + 
    0.3632115*b6003^2 + 0.1009475*b6003*b6004 + 768*b6004 + 0.2018945*b6004^2
     + 0.2448945*b6004*b6005 + 745*b6005 + 0.4897885*b6005^2 + 0.108713*b6005*
    b6006 + 564*b6006 + 0.2174265*b6006*b6006 + 0.0122529*b6006*b6007 + 373*
    b6007 + 0.0245058*b6007^2 + 0.1488905*b6007*b6008 + 601*b6008 + 0.2977805*
    b6008^2 + 0.2203635*b6008*b6009 + 434*b6009 + 0.4407275*b6009^2 + 0.0084345
    *b6009*b6010 + 577*b6010 + 0.016869*b6010^2 + 0.1301355*b6010*b6011 + 765*
    b6011 + 0.2602705*b6011^2 + 0.0123219*b6011*b6012 + 356*b6012 + 0.02464385*
    b6012^2 + 0.054312*b6012*b6013 + 735*b6013 + 0.1086245*b6013^2 + 0.1491225*
    b6013*b6014 + 888*b6014 + 0.2982445*b6014^2 + 0.1516175*b6014*b6015 + 1063*
    b6015 + 0.303235*b6015^2 + 0.0438055*b6015*b6016 + 671*b6016 + 0.087611*
    b6016^2 + 0.080284*b6016*b6017 + 420*b6017 + 0.1605675*b6017^2 + 0.1477945*
    b6017*b6018 + 323*b6018 + 0.295589*b6018*b6018 + 0.249878*b6018*b6019 + 
    1214*b6019 + 0.4997565*b6019^2 + 0.031039*b6019*b6020 + 581*b6020 + 
    0.062078*b6020^2 + 0.0172271*b6020*b6021 + 64*b6021 + 0.0344542*b6021^2 + 
    0.173357*b6021*b6022 + 1006*b6022 + 0.3467145*b6022^2 + 0.04044425*b6022*
    b6023 + 661*b6023 + 0.0808885*b6023^2 + 0.2437165*b6023*b6024 + 485*b6024
     + 0.487433*b6024*b6024 + 0.244155*b6024*b6025 + 829*b6025 + 0.4883105*
    b6025^2 + 0.147134*b6025*b6026 + 462*b6026 + 0.2942675*b6026^2 + 0.050571*
    b6026*b6027 + 269*b6027 + 0.1011425*b6027^2 + 0.1649105*b6027*b6028 + 1021*
    b6028 + 0.3298215*b6028^2 + 0.0896565*b6028*b6029 + 241*b6029 + 0.1793125*
    b6029^2 + 0.014839*b6029*b6030 + 686*b6030 + 0.02967795*b6030^2 + 0.1303245
    *b6030*b6031 + 423*b6031 + 0.260649*b6031^2 + 0.207608*b6031*b6032 + 434*
    b6032 + 0.4152155*b6032^2 + 0.2416115*b6032*b6033 + 401*b6033 + 0.483223*
    b6033^2 + 0.0139193*b6033*b6034 + 530*b6034 + 0.02783865*b6034^2 + 
    0.0981665*b6034*b6035 + 438*b6035 + 0.1963335*b6035^2 + 0.02089445*b6035*
    b6036 + 556*b6036 + 0.04178885*b6036^2 + 0.152966*b6036*b6037 + 236*b6037
     + 0.3059325*b6037^2 + 0.151069*b6037*b6038 + 228*b6038 + 0.302138*b6038^2
     + 0.01145125*b6038*b6039 + 805*b6039 + 0.02290245*b6039^2 + 0.241475*b6039
    *b6040 + 367*b6040 + 0.48295*b6040^2 + 0.111304*b6040*b6041 + 502*b6041 + 
    0.222608*b6041^2 + 0.21874*b6041*b6042 + 97*b6042 + 0.4374805*b6042^2 + 
    0.129985*b6042*b6043 + 431*b6043 + 0.2599695*b6043^2 + 0.216546*b6043*b6044
     + 836*b6044 + 0.4330915*b6044^2 + 0.1034435*b6044*b6045 + 454*b6045 + 
    0.206887*b6045^2 + 0.165159*b6045*b6046 + 790*b6046 + 0.330318*b6046^2 + 
    0.1485645*b6046*b6047 + 700*b6047 + 0.2971295*b6047^2 + 0.00533325*b6047*
    b6048 + 759*b6048 + 0.0106665*b6048^2 + 0.2206895*b6048*b6049 + 334*b6049
     + 0.4413795*b6049^2 + 0.0464585*b6049*b6050 + 502*b6050 + 0.092917*b6050^2
     + 0.1071135*b6050*b6051 + 462*b6051 + 0.214227*b6051^2 + 0.093507*b6051*
    b6052 + 780*b6052 + 0.187014*b6052*b6052 + 0.1484525*b6052*b6053 + 737*
    b6053 + 0.296905*b6053^2 + 0.2476405*b6053*b6054 + 339*b6054 + 0.4952815*
    b6054^2 + 0.01167305*b6054*b6055 + 359*b6055 + 0.02334615*b6055^2 + 
    0.02184205*b6055*b6056 + 572*b6056 + 0.04368415*b6056^2 + 0.0177776*b6056*
    b6057 + 366*b6057 + 0.0355552*b6057^2 + 0.0030848*b6057*b6058 + 596*b6058
     + 0.0061696*b6058^2 + 0.045302*b6058*b6059 + 488*b6059 + 0.090604*b6059^2
     + 0.061157*b6059*b6060 + 375*b6060 + 0.1223135*b6060^2 + 0.042094*b6060*
    b6061 + 829*b6061 + 0.084188*b6061^2 + 0.078415*b6061*b6062 + 824*b6062 + 
    0.15683*b6062^2 + 0.115386*b6062*b6063 + 240*b6063 + 0.2307725*b6063^2 + 
    0.0904015*b6063*b6064 + 916*b6064 + 0.1808025*b6064^2 + 0.0843625*b6064*
    b6065 + 220*b6065 + 0.168725*b6065^2 + 0.1182125*b6065*b6066 + 228*b6066 + 
    0.236425*b6066^2 + 0.248147*b6066*b6067 + 795*b6067 + 0.496294*b6067^2 + 
    0.196329*b6067*b6068 + 714*b6068 + 0.392658*b6068^2 + 0.0662985*b6068*b6069
     + 426*b6069 + 0.132597*b6069*b6069 + 0.02029075*b6069*b6070 + 525*b6070 + 
    0.0405815*b6070^2 + 0.2233545*b6070*b6071 + 534*b6071 + 0.4467085*b6071^2
     + 0.00499515*b6071*b6072 + 394*b6072 + 0.0099903*b6072^2 + 0.1035125*b6072
    *b6073 + 461*b6073 + 0.207025*b6073^2 + 0.0970525*b6073*b6074 + 823*b6074
     + 0.1941055*b6074^2 + 0.1891*b6074*b6075 + 716*b6075 + 0.3782*b6075*b6075
     + 0.1660945*b6075*b6076 + 432*b6076 + 0.332189*b6076^2 + 0.054466*b6076*
    b6077 + 574*b6077 + 0.1089315*b6077^2 + 0.20025*b6077*b6078 + 216*b6078 + 
    0.4005005*b6078^2 + 0.099609*b6078*b6079 + 1005*b6079 + 0.199218*b6079^2 + 
    0.105038*b6079*b6080 + 670*b6080 + 0.210076*b6080^2 + 0.02537025*b6080*
    b6081 + 1070*b6081 + 0.0507405*b6081^2 + 0.04734*b6081*b6082 + 1070*b6082
     + 0.09468*b6082^2 + 0.1087875*b6082*b6083 + 887*b6083 + 0.217575*b6083^2
     + 0.063021*b6083*b6084 + 516*b6084 + 0.126042*b6084^2 + 0.1467055*b6084*
    b6085 + 255*b6085 + 0.2934115*b6085^2 + 0.03792175*b6085*b6086 + 550*b6086
     + 0.0758435*b6086^2 + 0.174639*b6086*b6087 + 655*b6087 + 0.3492785*b6087^2
     + 0.14899*b6087*b6088 + 918*b6088 + 0.2979805*b6088^2 + 0.1209905*b6088*
    b6089 + 617*b6089 + 0.2419815*b6089^2 + 0.092331*b6089*b6090 + 957*b6090 + 
    0.184662*b6090^2 + 0.217819*b6090*b6091 + 284*b6091 + 0.4356385*b6091^2 + 
    0.0105751*b6091*b6092 + 443*b6092 + 0.02115025*b6092^2 + 0.196431*b6092*
    b6093 + 538*b6093 + 0.392862*b6093^2 + 0.1291395*b6093*b6094 + 462*b6094 + 
    0.2582795*b6094^2 + 0.058681*b6094*b6095 + 270*b6095 + 0.117362*b6095^2 + 
    0.1046665*b6095*b6096 + 395*b6096 + 0.2093325*b6096^2 + 0.121878*b6096*
    b6097 + 496*b6097 + 0.243756*b6097^2 + 0.08476*b6097*b6098 + 1157*b6098 + 
    0.16952*b6098*b6098 + 0.2173875*b6098*b6099 + 212*b6099 + 0.434775*b6099^2
     + 0.132673*b6099*b6100 + 256*b6100 + 0.2653455*b6100^2 + 0.191758*b6100*
    b6101 + 1091*b6101 + 0.3835155*b6101^2 + 0.127677*b6101*b6102 + 349*b6102
     + 0.2553535*b6102^2 + 0.0419005*b6102*b6103 + 819*b6103 + 0.083801*b6103^2
     + 0.1724065*b6103*b6104 + 433*b6104 + 0.344813*b6104*b6104 + 0.0163386*
    b6104*b6105 + 440*b6105 + 0.03267725*b6105^2 + 0.0763895*b6105*b6106 + 627*
    b6106 + 0.1527785*b6106^2 + 0.001798165*b6106*b6107 + 538*b6107 + 
    0.00359633*b6107^2 + 0.2460105*b6107*b6108 + 363*b6108 + 0.492021*b6108^2
     + 0.0852685*b6108*b6109 + 408*b6109 + 0.170537*b6109^2 + 0.2465545*b6109*
    b6110 + 354*b6110 + 0.4931095*b6110*b6110 + 0.04386025*b6110*b6111 + 426*
    b6111 + 0.0877205*b6111^2 + 0.130646*b6111*b6112 + 685*b6112 + 0.2612915*
    b6112^2 + 0.228338*b6112*b6113 + 907*b6113 + 0.4566765*b6113^2 + 0.1580765*
    b6113*b6114 + 682*b6114 + 0.316153*b6114^2 + 0.242525*b6114*b6115 + 643*
    b6115 + 0.4850505*b6115^2 + 0.1386575*b6115*b6116 + 859*b6116 + 0.2773155*
    b6116^2 + 0.04648625*b6116*b6117 + 389*b6117 + 0.0929725*b6117^2 + 
    0.0450055*b6117*b6118 + 442*b6118 + 0.090011*b6118^2 + 0.158736*b6118*b6119
     + 829*b6119 + 0.3174715*b6119^2 + 0.063669*b6119*b6120 + 292*b6120 + 
    0.127338*b6120^2 + 0.001114155*b6120*b6121 + 388*b6121 + 0.00222831*b6121^2
     + 0.091321*b6121*b6122 + 441*b6122 + 0.1826415*b6122^2 + 0.053023*b6122*
    b6123 + 269*b6123 + 0.106046*b6123^2 + 0.147933*b6123*b6124 + 645*b6124 + 
    0.2958665*b6124^2 + 0.2078425*b6124*b6125 + 751*b6125 + 0.4156855*b6125^2
     + 0.192264*b6125*b6126 + 361*b6126 + 0.384528*b6126^2 + 0.1891595*b6126*
    b6127 + 975*b6127 + 0.3783185*b6127^2 + 0.086515*b6127*b6128 + 456*b6128 + 
    0.17303*b6128*b6128 + 0.0896635*b6128*b6129 + 335*b6129 + 0.179327*b6129^2
     + 0.0217706*b6129*b6130 + 218*b6130 + 0.0435412*b6130^2 + 0.2023555*b6130*
    b6131 + 854*b6131 + 0.404711*b6131^2 + 0.070237*b6131*b6132 + 577*b6132 + 
    0.1404735*b6132^2 + 0.172327*b6132*b6133 + 922*b6133 + 0.3446545*b6133^2 + 
    0.0722835*b6133*b6134 + 903*b6134 + 0.1445675*b6134^2 + 0.160095*b6134*
    b6135 + 487*b6135 + 0.32019*b6135^2 + 0.227122*b6135*b6136 + 747*b6136 + 
    0.4542435*b6136^2 + 0.031869*b6136*b6137 + 354*b6137 + 0.063738*b6137^2 + 
    0.218654*b6137*b6138 + 430*b6138 + 0.437308*b6138^2 + 0.212572*b6138*b6139
     + 637*b6139 + 0.4251445*b6139^2 + 0.183107*b6139*b6140 + 548*b6140 + 
    0.3662135*b6140*b6140 + 0.04164*b6140*b6141 + 707*b6141 + 0.08328*b6141^2
     + 0.0004591425*b6141*b6142 + 1071*b6142 + 0.000918285*b6142^2 + 0.082476*
    b6142*b6143 + 706*b6143 + 0.1649515*b6143^2 + 0.06499*b6143*b6144 + 838*
    b6144 + 0.1299805*b6144^2 + 0.1690465*b6144*b6145 + 485*b6145 + 0.3380925*
    b6145^2 + 0.17386*b6145*b6146 + 1030*b6146 + 0.3477195*b6146*b6146 + 
    0.2332465*b6146*b6147 + 371*b6147 + 0.466493*b6147^2 + 0.087086*b6147*b6148
     + 873*b6148 + 0.174172*b6148^2 + 0.1382*b6148*b6149 + 423*b6149 + 0.2764*
    b6149^2 + 0.24856*b6149*b6150 + 448*b6150 + 0.49712*b6150^2 + 0.1447655*
    b6150*b6151 + 528*b6151 + 0.2895305*b6151^2 + 0.100675*b6151*b6152 + 702*
    b6152 + 0.20135*b6152^2 + 0.01720825*b6152*b6153 + 462*b6153 + 0.03441645*
    b6153^2 + 0.233588*b6153*b6154 + 412*b6154 + 0.467176*b6154^2 + 0.0793975*
    b6154*b6155 + 533*b6155 + 0.158795*b6155^2 + 0.0863885*b6155*b6156 + 641*
    b6156 + 0.172777*b6156^2 + 0.119357*b6156*b6157 + 392*b6157 + 0.2387145*
    b6157*b6157 + 0.04886975*b6157*b6158 + 728*b6158 + 0.0977395*b6158^2 + 
    0.2384875*b6158*b6159 + 408*b6159 + 0.4769755*b6159^2 + 0.02838075*b6159*
    b6160 + 724*b6160 + 0.0567615*b6160^2 + 0.14194*b6160*b6161 + 867*b6161 + 
    0.2838805*b6161^2 + 0.184738*b6161*b6162 + 246*b6162 + 0.369476*b6162^2 + 
    0.1153565*b6162*b6163 + 513*b6163 + 0.2307135*b6163*b6163 + 0.0914695*b6163
    *b6164 + 414*b6164 + 0.1829385*b6164^2 + 0.190929*b6164*b6165 + 665*b6165
     + 0.3818585*b6165^2 + 0.1724875*b6165*b6166 + 448*b6166 + 0.3449745*b6166^
    2 + 0.222868*b6166*b6167 + 547*b6167 + 0.4457365*b6167^2 + 0.0578065*b6167*
    b6168 + 485*b6168 + 0.1156135*b6168^2 + 0.248739*b6168*b6169 + 888*b6169 + 
    0.4974775*b6169*b6169 + 0.1570775*b6169*b6170 + 696*b6170 + 0.3141555*b6170
    ^2 + 0.169821*b6170*b6171 + 407*b6171 + 0.339642*b6171^2 + 0.1381865*b6171*
    b6172 + 441*b6172 + 0.276373*b6172^2 + 0.0597435*b6172*b6173 + 490*b6173 + 
    0.119487*b6173^2 + 0.051622*b6173*b6174 + 610*b6174 + 0.1032435*b6174^2 + 
    0.1496965*b6174*b6175 + 368*b6175 + 0.2993925*b6175^2 + 0.154272*b6175*
    b6176 + 552*b6176 + 0.308544*b6176^2 + 0.083269*b6176*b6177 + 433*b6177 + 
    0.166538*b6177^2 + 0.2354585*b6177*b6178 + 1099*b6178 + 0.4709165*b6178^2
     + 0.1537235*b6178*b6179 + 683*b6179 + 0.3074465*b6179^2 + 0.1746415*b6179*
    b6180 + 833*b6180 + 0.349283*b6180^2 + 0.0658455*b6180*b6181 + 610*b6181 + 
    0.131691*b6181*b6181 + 0.055493*b6181*b6182 + 508*b6182 + 0.110986*b6182^2
     + 0.122117*b6182*b6183 + 423*b6183 + 0.2442345*b6183^2 + 0.1836935*b6183*
    b6184 + 711*b6184 + 0.3673865*b6184^2 + 0.237169*b6184*b6185 + 1018*b6185
     + 0.4743385*b6185^2 + 0.215585*b6185*b6186 + 447*b6186 + 0.43117*b6186^2
     + 0.238416*b6186*b6187 + 736*b6187 + 0.4768315*b6187^2 + 0.0200988*b6187*
    b6188 + 1109*b6188 + 0.0401976*b6188^2 + 0.191901*b6188*b6189 + 622*b6189
     + 0.383802*b6189^2 + 0.0672025*b6189*b6190 + 463*b6190 + 0.1344045*b6190^2
     + 0.088134*b6190*b6191 + 565*b6191 + 0.1762685*b6191^2 + 0.2133465*b6191*
    b6192 + 472*b6192 + 0.426693*b6192*b6192 + 0.049826*b6192*b6193 + 625*b6193
     + 0.099652*b6193^2 + 0.1686825*b6193*b6194 + 562*b6194 + 0.3373645*b6194^2
     + 0.003740225*b6194*b6195 + 818*b6195 + 0.00748045*b6195^2 + 0.2168695*
    b6195*b6196 + 1331*b6196 + 0.4337385*b6196^2 + 0.190904*b6196*b6197 + 371*
    b6197 + 0.381808*b6197^2 + 0.1482055*b6197*b6198 + 631*b6198 + 0.2964115*
    b6198^2 + 0.1864505*b6198*b6199 + 883*b6199 + 0.372901*b6199^2 + 0.0836605*
    b6199*b6200 + 702*b6200 + 0.1673205*b6200^2 + 0.2495575*b6200*b6201 + 675*
    b6201 + 0.4991155*b6201^2 + 0.1235415*b6201*b6202 + 422*b6202 + 0.2470825*
    b6202^2 + 0.1774545*b6202*b6203 + 982*b6203 + 0.3549085*b6203^2 + 0.1144635
    *b6203*b6204 + 415*b6204 + 0.2289265*b6204^2 + 0.0912525*b6204*b6205 + 233*
    b6205 + 0.1825055*b6205^2 + 0.221919*b6205*b6206 + 260*b6206 + 0.443838*
    b6206^2 + 0.166677*b6206*b6207 + 971*b6207 + 0.3333545*b6207^2 + 0.0888455*
    b6207*b6208 + 579*b6208 + 0.177691*b6208^2 + 0.002045285*b6208*b6209 + 661*
    b6209 + 0.004090575*b6209^2 + 0.141645*b6209*b6210 + 603*b6210 + 0.28329*
    b6210*b6210 + 0.01624725*b6210*b6211 + 1257*b6211 + 0.03249445*b6211^2 + 
    0.075293*b6211*b6212 + 615*b6212 + 0.150586*b6212^2 + 0.1251975*b6212*b6213
     + 714*b6213 + 0.2503945*b6213^2 + 0.1312055*b6213*b6214 + 560*b6214 + 
    0.262411*b6214^2 + 0.069441*b6214*b6215 + 426*b6215 + 0.138882*b6215^2 + 
    0.2100095*b6215*b6216 + 680*b6216 + 0.4200185*b6216^2 + 0.175778*b6216*
    b6217 + 868*b6217 + 0.3515555*b6217^2 + 0.1564695*b6217*b6218 + 696*b6218
     + 0.312939*b6218^2 + 0.1034605*b6218*b6219 + 66*b6219 + 0.2069205*b6219^2
     + 0.1544045*b6219*b6220 + 408*b6220 + 0.308809*b6220^2 + 0.212591*b6220*
    b6221 + 127*b6221 + 0.425182*b6221*b6221 + 0.114173*b6221*b6222 + 458*b6222
     + 0.2283455*b6222^2 + 0.0500425*b6222*b6223 + 456*b6223 + 0.100085*b6223^2
     + 0.03082325*b6223*b6224 + 469*b6224 + 0.0616465*b6224^2 + 0.106391*b6224*
    b6225 + 377*b6225 + 0.212782*b6225^2 + 0.167477*b6225*b6226 + 1026*b6226 + 
    0.334954*b6226^2 + 0.2107015*b6226*b6227 + 488*b6227 + 0.421403*b6227*b6227
     + 0.101983*b6227*b6228 + 415*b6228 + 0.2039665*b6228^2 + 0.195957*b6228*
    b6229 + 560*b6229 + 0.3919135*b6229^2 + 0.1795935*b6229*b6230 + 409*b6230
     + 0.3591865*b6230^2 + 0.2416495*b6230*b6231 + 505*b6231 + 0.4832995*b6231^
    2 + 0.1247515*b6231*b6232 + 509*b6232 + 0.2495035*b6232^2 + 0.134396*b6232*
    b6233 + 679*b6233 + 0.2687915*b6233*b6233 + 0.1768645*b6233*b6234 + 494*
    b6234 + 0.353729*b6234^2 + 0.192342*b6234*b6235 + 442*b6235 + 0.3846835*
    b6235^2 + 0.2458095*b6235*b6236 + 659*b6236 + 0.4916195*b6236^2 + 0.1856925
    *b6236*b6237 + 391*b6237 + 0.3713845*b6237^2 + 0.1950955*b6237*b6238 + 486*
    b6238 + 0.390191*b6238^2 + 0.171396*b6238*b6239 + 223*b6239 + 0.3427925*
    b6239*b6239 + 0.099903*b6239*b6240 + 236*b6240 + 0.199806*b6240^2 + 
    0.067058*b6240*b6241 + 671*b6241 + 0.134116*b6241^2 + 0.026023*b6241*b6242
     + 728*b6242 + 0.052046*b6242^2 + 0.02860175*b6242*b6243 + 783*b6243 + 
    0.0572035*b6243^2 + 0.1826135*b6243*b6244 + 529*b6244 + 0.3652265*b6244^2
     + 0.1390925*b6244*b6245 + 64*b6245 + 0.2781845*b6245^2 + 0.092478*b6245*
    b6246 + 996*b6246 + 0.184956*b6246^2 + 0.1499405*b6246*b6247 + 344*b6247 + 
    0.299881*b6247^2 + 0.10396*b6247*b6248 + 223*b6248 + 0.2079195*b6248^2 + 
    0.004320325*b6248*b6249 + 1010*b6249 + 0.00864065*b6249^2 + 0.1208755*b6249
    *b6250 + 65*b6250 + 0.2417505*b6250^2 + 0.0238281*b6250*b6251 + 907*b6251
     + 0.0476562*b6251^2 + 0.032719*b6251*b6252 + 422*b6252 + 0.065438*b6252^2
     + 0.186874*b6252*b6253 + 421*b6253 + 0.373748*b6253^2 + 0.03581675*b6253*
    b6254 + 884*b6254 + 0.0716335*b6254^2 + 0.00555725*b6254*b6255 + 626*b6255
     + 0.0111145*b6255^2 + 0.22662*b6255*b6256 + 360*b6256 + 0.4532395*b6256*
    b6256 + 0.238626*b6256*b6257 + 646*b6257 + 0.477252*b6257^2 + 0.045454*
    b6257*b6258 + 385*b6258 + 0.090908*b6258^2 + 0.150992*b6258*b6259 + 438*
    b6259 + 0.3019845*b6259^2 + 0.1395215*b6259*b6260 + 636*b6260 + 0.2790425*
    b6260^2 + 0.129839*b6260*b6261 + 479*b6261 + 0.259678*b6261*b6261 + 
    0.1461085*b6261*b6262 + 397*b6262 + 0.292217*b6262^2 + 0.1258285*b6262*
    b6263 + 635*b6263 + 0.2516575*b6263^2 + 0.0189384*b6263*b6264 + 349*b6264
     + 0.03787675*b6264^2 + 0.098954*b6264*b6265 + 676*b6265 + 0.1979085*b6265^
    2 + 0.082136*b6265*b6266 + 369*b6266 + 0.1642725*b6266^2 + 0.0753425*b6266*
    b6267 + 223*b6267 + 0.1506855*b6267^2 + 0.046664*b6267*b6268 + 482*b6268 + 
    0.093328*b6268^2 + 0.055365*b6268*b6269 + 810*b6269 + 0.1107305*b6269^2 + 
    0.189239*b6269*b6270 + 274*b6270 + 0.378478*b6270^2 + 0.068741*b6270*b6271
     + 474*b6271 + 0.1374815*b6271^2 + 0.0288675*b6271*b6272 + 830*b6272 + 
    0.057735*b6272^2 + 0.247376*b6272*b6273 + 713*b6273 + 0.4947515*b6273*b6273
     + 0.0055014*b6273*b6274 + 238*b6274 + 0.0110028*b6274^2 + 0.148015*b6274*
    b6275 + 526*b6275 + 0.29603*b6275^2 + 0.1074385*b6275*b6276 + 259*b6276 + 
    0.2148775*b6276^2 + 0.1557625*b6276*b6277 + 1038*b6277 + 0.311525*b6277^2
     + 0.2041805*b6277*b6278 + 440*b6278 + 0.4083615*b6278^2 + 0.0729745*b6278*
    b6279 + 934*b6279 + 0.1459485*b6279^2 + 0.187856*b6279*b6280 + 412*b6280 + 
    0.375712*b6280^2 + 0.158042*b6280*b6281 + 858*b6281 + 0.3160845*b6281^2 + 
    0.0893445*b6281*b6282 + 523*b6282 + 0.1786885*b6282^2 + 0.103156*b6282*
    b6283 + 996*b6283 + 0.206312*b6283^2 + 0.2269515*b6283*b6284 + 572*b6284 + 
    0.453903*b6284^2 + 0.1990715*b6284*b6285 + 627*b6285 + 0.3981425*b6285*
    b6285 + 0.166952*b6285*b6286 + 1030*b6286 + 0.3339045*b6286^2 + 0.0578035*
    b6286*b6287 + 607*b6287 + 0.1156065*b6287^2 + 0.050419*b6287*b6288 + 1278*
    b6288 + 0.100838*b6288^2 + 0.2406225*b6288*b6289 + 964*b6289 + 0.4812445*
    b6289^2 + 0.1366325*b6289*b6290 + 864*b6290 + 0.2732655*b6290^2 + 0.0306945
    *b6290*b6291 + 549*b6291 + 0.061389*b6291*b6291 + 0.2284015*b6291*b6292 + 
    675*b6292 + 0.4568035*b6292^2 + 0.0033909*b6292*b6293 + 421*b6293 + 
    0.0067818*b6293^2 + 0.072746*b6293*b6294 + 542*b6294 + 0.1454925*b6294^2 + 
    0.0797915*b6294*b6295 + 391*b6295 + 0.159583*b6295^2 + 0.1036515*b6295*
    b6296 + 451*b6296 + 0.2073025*b6296^2 + 0.231358*b6296*b6297 + 453*b6297 + 
    0.4627165*b6297*b6297 + 0.115578*b6297*b6298 + 488*b6298 + 0.231156*b6298^2
     + 0.00833345*b6298*b6299 + 604*b6299 + 0.01666685*b6299^2 + 0.194806*b6299
    *b6300 + 1164*b6300 + 0.389612*b6300^2 + 0.2017025*b6300*b6301 + 522*b6301
     + 0.4034055*b6301^2 + 0.145411*b6301*b6302 + 565*b6302 + 0.290822*b6302^2
     + 0.2262425*b6302*b6303 + 808*b6303 + 0.4524855*b6303*b6303 + 0.189591*
    b6303*b6304 + 226*b6304 + 0.3791815*b6304^2 + 0.2328185*b6304*b6305 + 624*
    b6305 + 0.4656375*b6305^2 + 0.0166404*b6305*b6306 + 701*b6306 + 0.0332808*
    b6306^2 + 0.0238223*b6306*b6307 + 666*b6307 + 0.04764465*b6307^2 + 
    0.1946075*b6307*b6308 + 777*b6308 + 0.3892155*b6308^2 + 0.0333545*b6308*
    b6309 + 744*b6309 + 0.066709*b6309*b6309 + 0.0797225*b6309*b6310 + 474*
    b6310 + 0.1594455*b6310^2 + 0.202984*b6310*b6311 + 730*b6311 + 0.405968*
    b6311^2 + 0.0456395*b6311*b6312 + 213*b6312 + 0.091279*b6312^2 + 0.2445205*
    b6312*b6313 + 441*b6313 + 0.489041*b6313^2 + 0.105683*b6313*b6314 + 403*
    b6314 + 0.211366*b6314^2 + 0.0860155*b6314*b6315 + 629*b6315 + 0.172031*
    b6315^2 + 0.134586*b6315*b6316 + 253*b6316 + 0.2691725*b6316^2 + 0.02022965
    *b6316*b6317 + 621*b6317 + 0.04045925*b6317^2 + 0.130193*b6317*b6318 + 723*
    b6318 + 0.260386*b6318^2 + 0.067648*b6318*b6319 + 838*b6319 + 0.1352955*
    b6319^2 + 0.146305*b6319*b6320 + 263*b6320 + 0.2926105*b6320*b6320 + 
    0.03516275*b6320*b6321 + 636*b6321 + 0.0703255*b6321^2 + 0.098165*b6321*
    b6322 + 467*b6322 + 0.19633*b6322^2 + 0.001182025*b6322*b6323 + 633*b6323
     + 0.002364055*b6323^2 + 0.23395*b6323*b6324 + 769*b6324 + 0.4678995*b6324^
    2 + 0.1029315*b6324*b6325 + 1098*b6325 + 0.2058625*b6325^2 + 0.155438*b6325
    *b6326 + 395*b6326 + 0.310876*b6326*b6326 + 0.221177*b6326*b6327 + 449*
    b6327 + 0.4423545*b6327^2 + 0.038361*b6327*b6328 + 890*b6328 + 0.076722*
    b6328^2 + 0.079421*b6328*b6329 + 442*b6329 + 0.158842*b6329^2 + 0.03693*
    b6329*b6330 + 213*b6330 + 0.07386*b6330^2 + 0.1777055*b6330*b6331 + 449*
    b6331 + 0.3554105*b6331^2 + 0.0783435*b6331*b6332 + 1200*b6332 + 0.156687*
    b6332^2 + 0.176083*b6332*b6333 + 389*b6333 + 0.3521655*b6333^2 + 0.2166925*
    b6333*b6334 + 713*b6334 + 0.4333855*b6334^2 + 0.0070147*b6334*b6335 + 417*
    b6335 + 0.0140294*b6335^2 + 0.151079*b6335*b6336 + 551*b6336 + 0.3021585*
    b6336^2 + 0.0883695*b6336*b6337 + 444*b6337 + 0.176739*b6337*b6337 + 
    0.119829*b6337*b6338 + 250*b6338 + 0.239658*b6338^2 + 0.00083647*b6338*
    b6339 + 558*b6339 + 0.00167294*b6339^2 + 0.073164*b6339*b6340 + 928*b6340
     + 0.146328*b6340^2 + 0.248271*b6340*b6341 + 661*b6341 + 0.4965415*b6341^2
     + 0.15883*b6341*b6342 + 552*b6342 + 0.31766*b6342^2 + 0.214852*b6342*b6343
     + 1048*b6343 + 0.4297035*b6343*b6343 + 0.066247*b6343*b6344 + 459*b6344 + 
    0.1324945*b6344^2 + 0.1300675*b6344*b6345 + 437*b6345 + 0.260135*b6345^2 + 
    0.037926*b6345*b6346 + 833*b6346 + 0.075852*b6346^2 + 0.2401635*b6346*b6347
     + 693*b6347 + 0.480327*b6347^2 + 0.069456*b6347*b6348 + 424*b6348 + 
    0.138912*b6348^2 + 0.101446*b6348*b6349 + 303*b6349 + 0.202892*b6349^2 + 
    0.1107965*b6349*b6350 + 410*b6350 + 0.2215935*b6350^2 + 0.219558*b6350*
    b6351 + 60*b6351 + 0.439116*b6351^2 + 0.248323*b6351*b6352 + 690*b6352 + 
    0.4966455*b6352^2 + 0.1191705*b6352*b6353 + 548*b6353 + 0.2383405*b6353^2
     + 0.214297*b6353*b6354 + 471*b6354 + 0.4285935*b6354*b6354 + 0.0247206*
    b6354*b6355 + 386*b6355 + 0.0494412*b6355^2 + 0.2394525*b6355*b6356 + 516*
    b6356 + 0.478905*b6356^2 + 0.040652*b6356*b6357 + 693*b6357 + 0.081304*
    b6357^2 + 0.0913155*b6357*b6358 + 1138*b6358 + 0.1826305*b6358^2 + 
    0.0202715*b6358*b6359 + 450*b6359 + 0.04054305*b6359^2 + 0.1619585*b6359*
    b6360 + 491*b6360 + 0.323917*b6360^2 + 0.0846575*b6360*b6361 + 632*b6361 + 
    0.169315*b6361^2 + 0.2011755*b6361*b6362 + 619*b6362 + 0.402351*b6362^2 + 
    0.105833*b6362*b6363 + 920*b6363 + 0.2116655*b6363^2 + 0.1713445*b6363*
    b6364 + 262*b6364 + 0.3426885*b6364^2 + 0.01218475*b6364*b6365 + 388*b6365
     + 0.02436945*b6365^2 + 0.121624*b6365*b6366 + 507*b6366 + 0.2432475*b6366^
    2 + 0.16273*b6366*b6367 + 81*b6367 + 0.3254605*b6367^2 + 0.1734355*b6367*
    b6368 + 541*b6368 + 0.3468715*b6368^2 + 0.136782*b6368*b6369 + 226*b6369 + 
    0.273564*b6369^2 + 0.027124*b6369*b6370 + 1045*b6370 + 0.054248*b6370^2 + 
    0.166453*b6370*b6371 + 446*b6371 + 0.3329065*b6371^2 + 0.0401715*b6371*
    b6372 + 392*b6372 + 0.080343*b6372*b6372 + 0.1414595*b6372*b6373 + 493*
    b6373 + 0.2829195*b6373^2 + 0.0092122*b6373*b6374 + 686*b6374 + 0.0184244*
    b6374^2 + 0.188293*b6374*b6375 + 794*b6375 + 0.3765865*b6375^2 + 0.2194945*
    b6375*b6376 + 592*b6376 + 0.4389895*b6376^2 + 0.230371*b6376*b6377 + 705*
    b6377 + 0.4607425*b6377^2 + 0.144397*b6377*b6378 + 1570*b6378 + 0.288794*
    b6378*b6378 + 0.2266085*b6378*b6379 + 769*b6379 + 0.4532175*b6379^2 + 
    0.0960045*b6379*b6380 + 767*b6380 + 0.1920095*b6380^2 + 0.1815455*b6380*
    b6381 + 939*b6381 + 0.363091*b6381^2 + 0.2042535*b6381*b6382 + 882*b6382 + 
    0.408507*b6382^2 + 0.00227494*b6382*b6383 + 715*b6383 + 0.00454988*b6383^2
     + 0.2327105*b6383*b6384 + 835*b6384 + 0.465421*b6384^2 + 0.16098*b6384*
    b6385 + 403*b6385 + 0.3219595*b6385^2 + 0.211708*b6385*b6386 + 457*b6386 + 
    0.423416*b6386^2 + 0.181987*b6386*b6387 + 409*b6387 + 0.363974*b6387^2 + 
    0.03205475*b6387*b6388 + 615*b6388 + 0.0641095*b6388^2 + 0.1865895*b6388*
    b6389 + 204*b6389 + 0.3731785*b6389^2 + 0.1802115*b6389*b6390 + 268*b6390
     + 0.360423*b6390*b6390 + 0.1844125*b6390*b6391 + 514*b6391 + 0.368825*
    b6391^2 + 0.01208905*b6391*b6392 + 550*b6392 + 0.02417815*b6392^2 + 
    0.146773*b6392*b6393 + 218*b6393 + 0.2935465*b6393^2 + 0.1424215*b6393*
    b6394 + 271*b6394 + 0.284843*b6394^2 + 0.1957435*b6394*b6395 + 488*b6395 + 
    0.3914875*b6395^2 + 0.1327135*b6395*b6396 + 998*b6396 + 0.265427*b6396*
    b6396 + 0.2316505*b6396*b6397 + 1219*b6397 + 0.4633005*b6397^2 + 0.246658*
    b6397*b6398 + 401*b6398 + 0.493316*b6398^2 + 0.2388775*b6398*b6399 + 561*
    b6399 + 0.477755*b6399^2 + 0.1246255*b6399*b6400 + 501*b6400 + 0.2492515*
    b6400^2 + 0.123548*b6400*b6401 + 556*b6401 + 0.2470965*b6401^2 + 0.076381*
    b6401*b6402 + 214*b6402 + 0.1527625*b6402*b6402 + 0.127818*b6402*b6403 + 
    781*b6403 + 0.2556365*b6403^2 + 0.1394685*b6403*b6404 + 377*b6404 + 
    0.278937*b6404^2 + 0.00593975*b6404*b6405 + 409*b6405 + 0.0118795*b6405^2
     + 0.236337*b6405*b6406 + 446*b6406 + 0.472674*b6406^2 + 0.170986*b6406*
    b6407 + 694*b6407 + 0.341972*b6407^2 + 0.22815*b6407*b6408 + 894*b6408 + 
    0.4563*b6408*b6408 + 0.04815475*b6408*b6409 + 798*b6409 + 0.0963095*b6409^2
     + 0.1279355*b6409*b6410 + 475*b6410 + 0.255871*b6410^2 + 0.070095*b6410*
    b6411 + 750*b6411 + 0.14019*b6411^2 + 0.069525*b6411*b6412 + 512*b6412 + 
    0.13905*b6412^2 + 0.10658*b6412*b6413 + 661*b6413 + 0.21316*b6413*b6413 + 
    0.01696945*b6413*b6414 + 488*b6414 + 0.0339389*b6414^2 + 0.144473*b6414*
    b6415 + 701*b6415 + 0.2889465*b6415^2 + 0.0994525*b6415*b6416 + 440*b6416
     + 0.1989045*b6416^2 + 0.143438*b6416*b6417 + 688*b6417 + 0.2868755*b6417^2
     + 0.1950725*b6417*b6418 + 1456*b6418 + 0.3901445*b6418^2 + 0.166217*b6418*
    b6419 + 433*b6419 + 0.332434*b6419*b6419 + 0.0125052*b6419*b6420 + 639*
    b6420 + 0.02501035*b6420^2 + 0.197951*b6420*b6421 + 834*b6421 + 0.395902*
    b6421^2 + 0.01519215*b6421*b6422 + 448*b6422 + 0.0303843*b6422^2 + 
    0.2089835*b6422*b6423 + 448*b6423 + 0.4179665*b6423^2 + 0.205437*b6423*
    b6424 + 566*b6424 + 0.4108735*b6424^2 + 0.045999*b6424*b6425 + 177*b6425 + 
    0.091998*b6425*b6425 + 0.014256*b6425*b6426 + 260*b6426 + 0.028512*b6426^2
     + 0.1965455*b6426*b6427 + 274*b6427 + 0.393091*b6427^2 + 0.103626*b6427*
    b6428 + 213*b6428 + 0.207252*b6428^2 + 0.186898*b6428*b6429 + 728*b6429 + 
    0.373796*b6429^2 + 0.1249205*b6429*b6430 + 303*b6430 + 0.249841*b6430^2 + 
    0.2223615*b6430*b6431 + 1442*b6431 + 0.444723*b6431*b6431 + 0.0695*b6431*
    b6432 + 588*b6432 + 0.1390005*b6432^2 + 0.148721*b6432*b6433 + 560*b6433 + 
    0.2974425*b6433^2 + 0.1471775*b6433*b6434 + 949*b6434 + 0.2943555*b6434^2
     + 0.1013875*b6434*b6435 + 403*b6435 + 0.2027755*b6435^2 + 0.1237525*b6435*
    b6436 + 250*b6436 + 0.2475055*b6436^2 + 0.104125*b6436*b6437 + 227*b6437 + 
    0.20825*b6437^2 + 0.173501*b6437*b6438 + 787*b6438 + 0.3470025*b6438^2 + 
    0.178473*b6438*b6439 + 113*b6439 + 0.3569455*b6439^2 + 0.04249375*b6439*
    b6440 + 613*b6440 + 0.0849875*b6440^2 + 0.2386265*b6440*b6441 + 403*b6441
     + 0.4772535*b6441^2 + 0.164946*b6441*b6442 + 319*b6442 + 0.3298925*b6442*
    b6442 + 0.118916*b6442*b6443 + 937*b6443 + 0.237832*b6443^2 + 0.116521*
    b6443*b6444 + 271*b6444 + 0.2330415*b6444^2 + 0.0181028*b6444*b6445 + 413*
    b6445 + 0.03620565*b6445^2 + 0.04946275*b6445*b6446 + 418*b6446 + 0.0989255
    *b6446^2 + 0.1409825*b6446*b6447 + 616*b6447 + 0.2819645*b6447^2 + 0.126876
    *b6447*b6448 + 651*b6448 + 0.2537525*b6448*b6448 + 0.21371*b6448*b6449 + 
    993*b6449 + 0.42742*b6449^2 + 0.159544*b6449*b6450 + 567*b6450 + 0.3190875*
    b6450^2 + 0.0216805*b6450*b6451 + 472*b6451 + 0.04336105*b6451^2 + 
    0.0722615*b6451*b6452 + 323*b6452 + 0.1445235*b6452^2 + 0.1165515*b6452*
    b6453 + 953*b6453 + 0.2331035*b6453^2 + 0.222172*b6453*b6454 + 1159*b6454
     + 0.444344*b6454^2 + 0.2416415*b6454*b6455 + 76*b6455 + 0.4832835*b6455^2
     + 0.0766585*b6455*b6456 + 645*b6456 + 0.153317*b6456^2 + 0.089709*b6456*
    b6457 + 324*b6457 + 0.179418*b6457^2 + 0.0502235*b6457*b6458 + 956*b6458 + 
    0.1004475*b6458^2 + 0.189331*b6458*b6459 + 458*b6459 + 0.378662*b6459*b6459
     + 0.077824*b6459*b6460 + 240*b6460 + 0.155648*b6460^2 + 0.0491255*b6460*
    b6461 + 502*b6461 + 0.098251*b6461^2 + 0.152713*b6461*b6462 + 345*b6462 + 
    0.3054265*b6462^2 + 0.086073*b6462*b6463 + 396*b6463 + 0.1721455*b6463^2 + 
    0.134764*b6463*b6464 + 471*b6464 + 0.269528*b6464^2 + 0.1988335*b6464*b6465
     + 540*b6465 + 0.397667*b6465*b6465 + 0.0517335*b6465*b6466 + 649*b6466 + 
    0.1034665*b6466^2 + 0.127352*b6466*b6467 + 501*b6467 + 0.254704*b6467^2 + 
    0.228364*b6467*b6468 + 243*b6468 + 0.456728*b6468^2 + 0.2445625*b6468*b6469
     + 634*b6469 + 0.4891245*b6469^2 + 0.1253375*b6469*b6470 + 211*b6470 + 
    0.2506745*b6470^2 + 0.00801975*b6470*b6471 + 585*b6471 + 0.0160395*b6471^2
     + 0.165479*b6471*b6472 + 478*b6472 + 0.3309585*b6472^2 + 0.1584495*b6472*
    b6473 + 682*b6473 + 0.316899*b6473^2 + 0.1285915*b6473*b6474 + 833*b6474 + 
    0.257183*b6474^2 + 0.1095125*b6474*b6475 + 569*b6475 + 0.219025*b6475^2 + 
    0.0250255*b6475*b6476 + 483*b6476 + 0.050051*b6476^2 + 0.078389*b6476*b6477
     + 501*b6477 + 0.156778*b6477*b6477 + 0.218575*b6477*b6478 + 674*b6478 + 
    0.4371495*b6478^2 + 0.0319995*b6478*b6479 + 1046*b6479 + 0.063999*b6479^2
     + 0.1339305*b6479*b6480 + 36*b6480 + 0.267861*b6480^2 + 0.209166*b6480*
    b6481 + 410*b6481 + 0.418332*b6481^2 + 0.0672935*b6481*b6482 + 941*b6482 + 
    0.1345875*b6482^2 + 0.10936*b6482*b6483 + 642*b6483 + 0.2187195*b6483*b6483
     + 0.174357*b6483*b6484 + 427*b6484 + 0.3487145*b6484^2 + 0.1726025*b6484*
    b6485 + 413*b6485 + 0.345205*b6485^2 + 0.182715*b6485*b6486 + 588*b6486 + 
    0.3654295*b6486^2 + 0.19686*b6486*b6487 + 1011*b6487 + 0.39372*b6487^2 + 
    0.1126875*b6487*b6488 + 753*b6488 + 0.2253745*b6488^2 + 0.1083165*b6488*
    b6489 + 741*b6489 + 0.216633*b6489*b6489 + 0.2073435*b6489*b6490 + 507*
    b6490 + 0.4146875*b6490^2 + 0.223085*b6490*b6491 + 333*b6491 + 0.44617*
    b6491^2 + 0.203577*b6491*b6492 + 455*b6492 + 0.4071545*b6492^2 + 0.1830505*
    b6492*b6493 + 837*b6493 + 0.366101*b6493^2 + 0.0911145*b6493*b6494 + 1006*
    b6494 + 0.182229*b6494^2 + 0.00985715*b6494*b6495 + 262*b6495 + 0.0197143*
    b6495^2 + 0.2241405*b6495*b6496 + 421*b6496 + 0.448281*b6496^2 + 0.178416*
    b6496*b6497 + 422*b6497 + 0.3568315*b6497^2 + 0.1336925*b6497*b6498 + 775*
    b6498 + 0.2673855*b6498^2 + 0.244376*b6498*b6499 + 211*b6499 + 0.4887515*
    b6499^2 + 0.160721*b6499*b6500 + 391*b6500 + 0.321442*b6500^2 + 0.238266*
    b6500*b6501 + 631*b6501 + 0.476532*b6501*b6501 + 0.041025*b6501*b6502 + 530
    *b6502 + 0.08205*b6502^2 + 0.1073815*b6502*b6503 + 790*b6503 + 0.2147635*
    b6503^2 + 0.097287*b6503*b6504 + 1455*b6504 + 0.194574*b6504^2 + 0.03369825
    *b6504*b6505 + 542*b6505 + 0.0673965*b6505^2 + 0.0428845*b6505*b6506 + 1425
    *b6506 + 0.085769*b6506^2 + 0.079756*b6506*b6507 + 706*b6507 + 0.159512*
    b6507^2 + 0.153029*b6507*b6508 + 416*b6508 + 0.306058*b6508^2 + 0.0102666*
    b6508*b6509 + 918*b6509 + 0.02053315*b6509^2 + 0.03738025*b6509*b6510 + 454
    *b6510 + 0.0747605*b6510^2 + 0.187358*b6510*b6511 + 603*b6511 + 0.374716*
    b6511^2 + 0.165549*b6511*b6512 + 1136*b6512 + 0.331098*b6512*b6512 + 
    0.1956045*b6512*b6513 + 544*b6513 + 0.3912095*b6513^2 + 0.063856*b6513*
    b6514 + 723*b6514 + 0.127712*b6514^2 + 0.0146056*b6514*b6515 + 227*b6515 + 
    0.0292112*b6515^2 + 0.056047*b6515*b6516 + 670*b6516 + 0.112094*b6516^2 + 
    0.0394195*b6516*b6517 + 309*b6517 + 0.078839*b6517^2 + 0.041661*b6517*b6518
     + 488*b6518 + 0.083322*b6518*b6518 + 0.244599*b6518*b6519 + 1240*b6519 + 
    0.4891975*b6519^2 + 0.238936*b6519*b6520 + 707*b6520 + 0.477872*b6520^2 + 
    0.1974095*b6520*b6521 + 279*b6521 + 0.394819*b6521^2 + 0.1152*b6521*b6522
     + 457*b6522 + 0.2304*b6522^2 + 0.206614*b6522*b6523 + 593*b6523 + 
    0.4132285*b6523*b6523 + 0.1468885*b6523*b6524 + 231*b6524 + 0.293777*b6524^
    2 + 0.233557*b6524*b6525 + 666*b6525 + 0.467114*b6525^2 + 0.050826*b6525*
    b6526 + 573*b6526 + 0.101652*b6526^2 + 0.1157535*b6526*b6527 + 778*b6527 + 
    0.231507*b6527^2 + 0.1456185*b6527*b6528 + 795*b6528 + 0.2912375*b6528^2 + 
    0.04079725*b6528*b6529 + 824*b6529 + 0.0815945*b6529^2 + 0.057392*b6529*
    b6530 + 361*b6530 + 0.114784*b6530^2 + 0.138167*b6530*b6531 + 640*b6531 + 
    0.276334*b6531^2 + 0.152678*b6531*b6532 + 614*b6532 + 0.3053555*b6532^2 + 
    0.1912145*b6532*b6533 + 532*b6533 + 0.382429*b6533^2 + 0.111359*b6533*b6534
     + 473*b6534 + 0.222718*b6534^2 + 0.1326355*b6534*b6535 + 826*b6535 + 
    0.265271*b6535^2 + 0.1141195*b6535*b6536 + 1136*b6536 + 0.228239*b6536^2 + 
    0.2345115*b6536*b6537 + 619*b6537 + 0.4690225*b6537^2 + 0.149745*b6537*
    b6538 + 551*b6538 + 0.2994895*b6538^2 + 0.2151955*b6538*b6539 + 935*b6539
     + 0.430391*b6539^2 + 0.088479*b6539*b6540 + 666*b6540 + 0.1769585*b6540*
    b6540 + 0.1472295*b6540*b6541 + 212*b6541 + 0.2944585*b6541^2 + 0.01217525*
    b6541*b6542 + 589*b6542 + 0.02435055*b6542^2 + 0.23268*b6542*b6543 + 214*
    b6543 + 0.46536*b6543^2 + 0.142361*b6543*b6544 + 381*b6544 + 0.284722*b6544
    ^2 + 0.2392975*b6544*b6545 + 716*b6545 + 0.478595*b6545^2 + 0.2098685*b6545
    *b6546 + 511*b6546 + 0.4197365*b6546*b6546 + 0.19501*b6546*b6547 + 717*
    b6547 + 0.3900195*b6547^2 + 0.1193845*b6547*b6548 + 469*b6548 + 0.238769*
    b6548^2 + 0.1548705*b6548*b6549 + 1041*b6549 + 0.309741*b6549^2 + 0.1480885
    *b6549*b6550 + 290*b6550 + 0.296177*b6550^2 + 0.2491795*b6550*b6551 + 439*
    b6551 + 0.498359*b6551^2 + 0.20501*b6551*b6552 + 480*b6552 + 0.41002*b6552*
    b6552 + 0.1018185*b6552*b6553 + 348*b6553 + 0.2036375*b6553^2 + 0.1360545*
    b6553*b6554 + 499*b6554 + 0.272109*b6554^2 + 0.2382925*b6554*b6555 + 553*
    b6555 + 0.476585*b6555^2 + 0.117127*b6555*b6556 + 412*b6556 + 0.234254*
    b6556^2 + 0.1058755*b6556*b6557 + 683*b6557 + 0.2117505*b6557^2 + 0.0973805
    *b6557*b6558 + 553*b6558 + 0.194761*b6558*b6558 + 0.044354*b6558*b6559 + 
    532*b6559 + 0.088708*b6559^2 + 0.17997*b6559*b6560 + 486*b6560 + 0.3599405*
    b6560^2 + 0.219045*b6560*b6561 + 350*b6561 + 0.43809*b6561^2 + 0.0232555*
    b6561*b6562 + 1143*b6562 + 0.04651095*b6562^2 + 0.0717285*b6562*b6563 + 296
    *b6563 + 0.1434575*b6563^2 + 0.0760435*b6563*b6564 + 398*b6564 + 0.152087*
    b6564^2 + 0.1283905*b6564*b6565 + 214*b6565 + 0.2567815*b6565^2 + 
    0.02336105*b6565*b6566 + 229*b6566 + 0.0467221*b6566^2 + 0.00734315*b6566*
    b6567 + 578*b6567 + 0.0146863*b6567^2 + 0.2034305*b6567*b6568 + 398*b6568
     + 0.4068605*b6568^2 + 0.1380865*b6568*b6569 + 564*b6569 + 0.276173*b6569^2
     + 0.2204655*b6569*b6570 + 626*b6570 + 0.440931*b6570^2 + 0.0167429*b6570*
    b6571 + 1425*b6571 + 0.0334858*b6571^2 + 0.03972125*b6571*b6572 + 1187*
    b6572 + 0.0794425*b6572^2 + 0.118487*b6572*b6573 + 420*b6573 + 0.236974*
    b6573^2 + 0.1856245*b6573*b6574 + 529*b6574 + 0.371249*b6574^2 + 0.062381*
    b6574*b6575 + 634*b6575 + 0.124762*b6575*b6575 + 0.211494*b6575*b6576 + 358
    *b6576 + 0.422988*b6576^2 + 0.1770145*b6576*b6577 + 742*b6577 + 0.3540295*
    b6577^2 + 0.0730855*b6577*b6578 + 235*b6578 + 0.146171*b6578^2 + 0.2427355*
    b6578*b6579 + 455*b6579 + 0.4854705*b6579^2 + 0.169303*b6579*b6580 + 107*
    b6580 + 0.3386065*b6580^2 + 0.0026913*b6580*b6581 + 1114*b6581 + 0.0053826*
    b6581^2 + 0.034297*b6581*b6582 + 597*b6582 + 0.068594*b6582^2 + 0.1274235*
    b6582*b6583 + 272*b6583 + 0.254847*b6583^2 + 0.2256095*b6583*b6584 + 779*
    b6584 + 0.4512195*b6584^2 + 0.139112*b6584*b6585 + 574*b6585 + 0.2782235*
    b6585^2 + 0.0551495*b6585*b6586 + 235*b6586 + 0.110299*b6586^2 + 0.2384055*
    b6586*b6587 + 249*b6587 + 0.476811*b6587*b6587 + 0.1245435*b6587*b6588 + 
    954*b6588 + 0.2490875*b6588^2 + 0.2249625*b6588*b6589 + 268*b6589 + 
    0.449925*b6589^2 + 0.2361215*b6589*b6590 + 654*b6590 + 0.4722425*b6590^2 + 
    0.177524*b6590*b6591 + 588*b6591 + 0.355048*b6591^2 + 0.04111075*b6591*
    b6592 + 168*b6592 + 0.0822215*b6592^2 + 0.224876*b6592*b6593 + 297*b6593 + 
    0.449752*b6593*b6593 + 0.0380575*b6593*b6594 + 396*b6594 + 0.076115*b6594^2
     + 0.00712925*b6594*b6595 + 823*b6595 + 0.01425845*b6595^2 + 0.1445785*
    b6595*b6596 + 687*b6596 + 0.289157*b6596^2 + 0.2068305*b6596*b6597 + 490*
    b6597 + 0.413661*b6597^2 + 0.1446275*b6597*b6598 + 94*b6598 + 0.2892555*
    b6598^2 + 0.204434*b6598*b6599 + 450*b6599 + 0.408868*b6599*b6599 + 
    0.211352*b6599*b6600 + 269*b6600 + 0.4227045*b6600^2 + 0.176579*b6600*b6601
     + 298*b6601 + 0.3531585*b6601^2 + 0.0746285*b6601*b6602 + 595*b6602 + 
    0.149257*b6602^2 + 0.113058*b6602*b6603 + 77*b6603 + 0.226116*b6603^2 + 
    0.164041*b6603*b6604 + 258*b6604 + 0.3280815*b6604^2 + 0.2215535*b6604*
    b6605 + 533*b6605 + 0.4431065*b6605^2 + 0.0093189*b6605*b6606 + 947*b6606
     + 0.0186378*b6606^2 + 0.0055066*b6606*b6607 + 756*b6607 + 0.0110132*b6607^
    2 + 0.223329*b6607*b6608 + 1103*b6608 + 0.446658*b6608^2 + 0.1658275*b6608*
    b6609 + 707*b6609 + 0.3316555*b6609^2 + 0.180132*b6609*b6610 + 929*b6610 + 
    0.360264*b6610^2 + 0.0759535*b6610*b6611 + 677*b6611 + 0.151907*b6611*b6611
     + 0.179467*b6611*b6612 + 447*b6612 + 0.358934*b6612^2 + 0.150314*b6612*
    b6613 + 368*b6613 + 0.300628*b6613^2 + 0.135362*b6613*b6614 + 525*b6614 + 
    0.2707235*b6614^2 + 0.1086795*b6614*b6615 + 1104*b6615 + 0.217359*b6615^2
     + 0.2362555*b6615*b6616 + 360*b6616 + 0.472511*b6616*b6616 + 0.1037735*
    b6616*b6617 + 1323*b6617 + 0.207547*b6617^2 + 0.2250465*b6617*b6618 + 548*
    b6618 + 0.450093*b6618^2 + 0.127339*b6618*b6619 + 392*b6619 + 0.2546775*
    b6619^2 + 0.168164*b6619*b6620 + 752*b6620 + 0.3363285*b6620^2 + 0.215072*
    b6620*b6621 + 610*b6621 + 0.4301435*b6621^2 + 0.04268425*b6621*b6622 + 377*
    b6622 + 0.0853685*b6622^2 + 0.052302*b6622*b6623 + 120*b6623 + 0.1046035*
    b6623^2 + 0.0596555*b6623*b6624 + 168*b6624 + 0.119311*b6624^2 + 0.1297465*
    b6624*b6625 + 555*b6625 + 0.2594935*b6625^2 + 0.228364*b6625*b6626 + 832*
    b6626 + 0.4567275*b6626^2 + 0.002115045*b6626*b6627 + 693*b6627 + 
    0.00423009*b6627^2 + 0.236438*b6627*b6628 + 936*b6628 + 0.472876*b6628*
    b6628 + 0.108365*b6628*b6629 + 902*b6629 + 0.2167305*b6629^2 + 0.1744615*
    b6629*b6630 + 167*b6630 + 0.3489235*b6630^2 + 0.1673775*b6630*b6631 + 416*
    b6631 + 0.3347545*b6631^2 + 0.1839745*b6631*b6632 + 778*b6632 + 0.3679485*
    b6632^2 + 0.22001*b6632*b6633 + 683*b6633 + 0.4400205*b6633^2 + 0.239236*
    b6633*b6634 + 602*b6634 + 0.478472*b6634*b6634 + 0.164893*b6634*b6635 + 71*
    b6635 + 0.3297855*b6635^2 + 0.0158478*b6635*b6636 + 633*b6636 + 0.03169565*
    b6636^2 + 0.2208895*b6636*b6637 + 692*b6637 + 0.441779*b6637^2 + 0.0748785*
    b6637*b6638 + 659*b6638 + 0.1497575*b6638^2 + 0.247741*b6638*b6639 + 380*
    b6639 + 0.4954815*b6639^2 + 0.117661*b6639*b6640 + 986*b6640 + 0.235322*
    b6640*b6640 + 0.01115655*b6640*b6641 + 391*b6641 + 0.02231305*b6641^2 + 
    0.2420735*b6641*b6642 + 244*b6642 + 0.484147*b6642^2 + 0.058827*b6642*b6643
     + 1170*b6643 + 0.1176545*b6643^2 + 0.1064105*b6643*b6644 + 378*b6644 + 
    0.2128215*b6644^2 + 0.0753055*b6644*b6645 + 655*b6645 + 0.150611*b6645^2 + 
    0.173017*b6645*b6646 + 464*b6646 + 0.346034*b6646*b6646 + 0.0152045*b6646*
    b6647 + 591*b6647 + 0.030409*b6647^2 + 0.1403845*b6647*b6648 + 546*b6648 + 
    0.280769*b6648^2 + 0.0444185*b6648*b6649 + 497*b6649 + 0.088837*b6649^2 + 
    0.171429*b6649*b6650 + 789*b6650 + 0.342858*b6650^2 + 0.2003685*b6650*b6651
     + 715*b6651 + 0.400737*b6651^2 + 0.119579*b6651*b6652 + 770*b6652 + 
    0.239158*b6652*b6652 + 0.0715325*b6652*b6653 + 441*b6653 + 0.143065*b6653^2
     + 0.1157305*b6653*b6654 + 898*b6654 + 0.231461*b6654^2 + 0.101262*b6654*
    b6655 + 698*b6655 + 0.2025245*b6655^2 + 0.0713355*b6655*b6656 + 570*b6656
     + 0.1426705*b6656^2 + 0.02650125*b6656*b6657 + 504*b6657 + 0.0530025*b6657
    ^2 + 0.200228*b6657*b6658 + 727*b6658 + 0.4004555*b6658*b6658 + 0.1696015*
    b6658*b6659 + 692*b6659 + 0.3392035*b6659^2 + 0.136359*b6659*b6660 + 408*
    b6660 + 0.2727175*b6660^2 + 0.1471*b6660*b6661 + 486*b6661 + 0.2942005*
    b6661^2 + 0.1823085*b6661*b6662 + 539*b6662 + 0.3646175*b6662^2 + 0.1198945
    *b6662*b6663 + 771*b6663 + 0.2397895*b6663^2 + 0.02174635*b6663*b6664 + 233
    *b6664 + 0.04349265*b6664^2 + 0.2425185*b6664*b6665 + 224*b6665 + 0.485037*
    b6665^2 + 0.0233999*b6665*b6666 + 255*b6666 + 0.04679985*b6666^2 + 
    0.1144695*b6666*b6667 + 498*b6667 + 0.2289395*b6667^2 + 0.02137045*b6667*
    b6668 + 217*b6668 + 0.04274095*b6668^2 + 0.2029645*b6668*b6669 + 672*b6669
     + 0.4059285*b6669^2 + 0.0052158*b6669*b6670 + 965*b6670 + 0.0104316*b6670^
    2 + 0.0563835*b6670*b6671 + 459*b6671 + 0.112767*b6671^2 + 0.179799*b6671*
    b6672 + 1244*b6672 + 0.359598*b6672^2 + 0.1470575*b6672*b6673 + 497*b6673
     + 0.2941155*b6673^2 + 0.2428395*b6673*b6674 + 228*b6674 + 0.485679*b6674^2
     + 0.1934535*b6674*b6675 + 878*b6675 + 0.386907*b6675^2 + 0.118576*b6675*
    b6676 + 476*b6676 + 0.2371525*b6676*b6676 + 0.1628545*b6676*b6677 + 621*
    b6677 + 0.325709*b6677^2 + 0.1010505*b6677*b6678 + 342*b6678 + 0.2021015*
    b6678^2 + 0.0968*b6678*b6679 + 457*b6679 + 0.1936*b6679^2 + 0.00895185*
    b6679*b6680 + 328*b6680 + 0.0179037*b6680^2 + 0.217514*b6680*b6681 + 414*
    b6681 + 0.435028*b6681^2 + 0.2132615*b6681*b6682 + 347*b6682 + 0.4265225*
    b6682*b6682 + 0.1636115*b6682*b6683 + 715*b6683 + 0.3272225*b6683^2 + 
    0.2000285*b6683*b6684 + 998*b6684 + 0.400057*b6684^2 + 0.071534*b6684*b6685
     + 671*b6685 + 0.1430685*b6685^2 + 0.128625*b6685*b6686 + 728*b6686 + 
    0.2572495*b6686^2 + 0.1318295*b6686*b6687 + 1011*b6687 + 0.2636585*b6687^2
     + 0.1838425*b6687*b6688 + 444*b6688 + 0.3676845*b6688^2 + 0.04273025*b6688
    *b6689 + 536*b6689 + 0.0854605*b6689^2 + 0.031478*b6689*b6690 + 451*b6690
     + 0.062956*b6690^2 + 0.0768815*b6690*b6691 + 456*b6691 + 0.153763*b6691^2
     + 0.0876605*b6691*b6692 + 681*b6692 + 0.175321*b6692^2 + 0.1029455*b6692*
    b6693 + 643*b6693 + 0.2058905*b6693^2 + 0.205821*b6693*b6694 + 781*b6694 + 
    0.411642*b6694*b6694 + 0.00416005*b6694*b6695 + 867*b6695 + 0.0083201*b6695
    ^2 + 0.02722675*b6695*b6696 + 727*b6696 + 0.0544535*b6696^2 + 0.0990015*
    b6696*b6697 + 944*b6697 + 0.1980035*b6697^2 + 0.188594*b6697*b6698 + 689*
    b6698 + 0.3771875*b6698^2 + 0.1028365*b6698*b6699 + 713*b6699 + 0.2056725*
    b6699^2 + 0.2184245*b6699*b6700 + 355*b6700 + 0.436849*b6700*b6700 + 
    0.2005575*b6700*b6701 + 611*b6701 + 0.401115*b6701^2 + 0.2035095*b6701*
    b6702 + 483*b6702 + 0.407019*b6702^2 + 0.0167586*b6702*b6703 + 636*b6703 + 
    0.03351715*b6703^2 + 0.121683*b6703*b6704 + 374*b6704 + 0.2433655*b6704^2
     + 0.158732*b6704*b6705 + 624*b6705 + 0.317464*b6705^2 + 0.1318525*b6705*
    b6706 + 1423*b6706 + 0.2637055*b6706^2 + 0.067136*b6706*b6707 + 688*b6707
     + 0.1342725*b6707^2 + 0.2017165*b6707*b6708 + 500*b6708 + 0.403433*b6708^2
     + 0.0099834*b6708*b6709 + 367*b6709 + 0.0199668*b6709^2 + 0.1958895*b6709*
    b6710 + 533*b6710 + 0.391779*b6710^2 + 0.02562675*b6710*b6711 + 736*b6711
     + 0.0512535*b6711^2 + 0.0569585*b6711*b6712 + 567*b6712 + 0.1139165*b6712^
    2 + 0.059286*b6712*b6713 + 575*b6713 + 0.118572*b6713^2 + 0.1636075*b6713*
    b6714 + 600*b6714 + 0.327215*b6714^2 + 0.211609*b6714*b6715 + 435*b6715 + 
    0.423218*b6715^2 + 0.1708765*b6715*b6716 + 323*b6716 + 0.3417525*b6716^2 + 
    0.034405*b6716*b6717 + 733*b6717 + 0.06881*b6717^2 + 0.0498525*b6717*b6718
     + 696*b6718 + 0.099705*b6718^2 + 0.000534035*b6718*b6719 + 450*b6719 + 
    0.001068075*b6719^2 + 0.1195315*b6719*b6720 + 505*b6720 + 0.2390625*b6720^2
     + 0.0855035*b6720*b6721 + 258*b6721 + 0.171007*b6721^2 + 0.03285625*b6721*
    b6722 + 324*b6722 + 0.0657125*b6722^2 + 0.242714*b6722*b6723 + 429*b6723 + 
    0.4854285*b6723*b6723 + 0.173704*b6723*b6724 + 1126*b6724 + 0.347408*b6724^
    2 + 0.0782245*b6724*b6725 + 475*b6725 + 0.1564495*b6725^2 + 0.1802795*b6725
    *b6726 + 626*b6726 + 0.360559*b6726^2 + 0.115856*b6726*b6727 + 587*b6727 + 
    0.2317125*b6727^2 + 0.16086*b6727*b6728 + 442*b6728 + 0.32172*b6728^2 + 
    0.1169785*b6728*b6729 + 551*b6729 + 0.2339565*b6729*b6729 + 0.15092*b6729*
    b6730 + 442*b6730 + 0.30184*b6730^2 + 0.1317935*b6730*b6731 + 455*b6731 + 
    0.2635865*b6731^2 + 0.2393385*b6731*b6732 + 464*b6732 + 0.478677*b6732^2 + 
    0.174804*b6732*b6733 + 308*b6733 + 0.349608*b6733^2 + 0.0884715*b6733*b6734
     + 420*b6734 + 0.176943*b6734*b6734 + 0.129752*b6734*b6735 + 414*b6735 + 
    0.259504*b6735^2 + 0.2077665*b6735*b6736 + 596*b6736 + 0.4155325*b6736^2 + 
    0.097571*b6736*b6737 + 690*b6737 + 0.195142*b6737^2 + 0.181455*b6737*b6738
     + 923*b6738 + 0.36291*b6738^2 + 0.1443695*b6738*b6739 + 707*b6739 + 
    0.2887385*b6739^2 + 0.161145*b6739*b6740 + 416*b6740 + 0.3222905*b6740*
    b6740 + 0.1498665*b6740*b6741 + 473*b6741 + 0.299733*b6741^2 + 0.1985735*
    b6741*b6742 + 393*b6742 + 0.3971475*b6742^2 + 0.029581*b6742*b6743 + 487*
    b6743 + 0.059162*b6743^2 + 0.04031975*b6743*b6744 + 510*b6744 + 0.0806395*
    b6744^2 + 0.036619*b6744*b6745 + 574*b6745 + 0.073238*b6745^2 + 0.239263*
    b6745*b6746 + 326*b6746 + 0.478526*b6746*b6746 + 0.203734*b6746*b6747 + 567
    *b6747 + 0.407468*b6747^2 + 0.15502*b6747*b6748 + 453*b6748 + 0.3100405*
    b6748^2 + 0.0848635*b6748*b6749 + 233*b6749 + 0.169727*b6749^2 + 0.189101*
    b6749*b6750 + 255*b6750 + 0.378202*b6750^2 + 0.212664*b6750*b6751 + 483*
    b6751 + 0.425328*b6751*b6751 + 0.2079525*b6751*b6752 + 634*b6752 + 
    0.4159055*b6752^2 + 0.02227475*b6752*b6753 + 615*b6753 + 0.0445495*b6753^2
     + 0.2183005*b6753*b6754 + 544*b6754 + 0.436601*b6754^2 + 0.148051*b6754*
    b6755 + 785*b6755 + 0.296102*b6755^2 + 0.2310705*b6755*b6756 + 881*b6756 + 
    0.4621405*b6756^2 + 0.2395085*b6756*b6757 + 695*b6757 + 0.479017*b6757*
    b6757 + 0.202796*b6757*b6758 + 404*b6758 + 0.405592*b6758^2 + 0.2070045*
    b6758*b6759 + 544*b6759 + 0.4140085*b6759^2 + 0.2385925*b6759*b6760 + 375*
    b6760 + 0.4771855*b6760^2 + 0.172413*b6760*b6761 + 625*b6761 + 0.3448255*
    b6761^2 + 0.1700185*b6761*b6762 + 580*b6762 + 0.3400365*b6762^2 + 0.084988*
    b6762*b6763 + 226*b6763 + 0.1699755*b6763*b6763 + 0.1477935*b6763*b6764 + 
    577*b6764 + 0.295587*b6764^2 + 0.113554*b6764*b6765 + 620*b6765 + 0.227108*
    b6765^2 + 0.00897455*b6765*b6766 + 882*b6766 + 0.0179491*b6766^2 + 0.203466
    *b6766*b6767 + 265*b6767 + 0.4069325*b6767^2 + 0.097098*b6767*b6768 + 669*
    b6768 + 0.194196*b6768^2 + 0.1764305*b6768*b6769 + 542*b6769 + 0.352861*
    b6769*b6769 + 0.2457285*b6769*b6770 + 344*b6770 + 0.4914575*b6770^2 + 
    0.00275455*b6770*b6771 + 537*b6771 + 0.0055091*b6771^2 + 0.150051*b6771*
    b6772 + 723*b6772 + 0.3001025*b6772^2 + 0.0567735*b6772*b6773 + 732*b6773
     + 0.1135475*b6773^2 + 0.206712*b6773*b6774 + 623*b6774 + 0.4134245*b6774^2
     + 0.02901375*b6774*b6775 + 466*b6775 + 0.0580275*b6775^2 + 0.062273*b6775*
    b6776 + 1056*b6776 + 0.124546*b6776^2 + 0.23765*b6776*b6777 + 572*b6777 + 
    0.4753*b6777^2 + 0.0133765*b6777*b6778 + 60*b6778 + 0.026753*b6778^2 + 
    0.2290255*b6778*b6779 + 264*b6779 + 0.458051*b6779^2 + 0.078901*b6779*b6780
     + 592*b6780 + 0.157802*b6780^2 + 0.04480225*b6780*b6781 + 71*b6781 + 
    0.0896045*b6781^2 + 0.021972*b6781*b6782 + 447*b6782 + 0.04394405*b6782^2
     + 0.051358*b6782*b6783 + 397*b6783 + 0.1027155*b6783^2 + 0.1033935*b6783*
    b6784 + 795*b6784 + 0.2067865*b6784^2 + 0.03067225*b6784*b6785 + 239*b6785
     + 0.0613445*b6785^2 + 0.0256065*b6785*b6786 + 169*b6786 + 0.051213*b6786*
    b6786 + 0.2255785*b6786*b6787 + 947*b6787 + 0.451157*b6787^2 + 0.1733425*
    b6787*b6788 + 1516*b6788 + 0.346685*b6788^2 + 0.0913485*b6788*b6789 + 561*
    b6789 + 0.182697*b6789^2 + 0.0192695*b6789*b6790 + 434*b6790 + 0.03853905*
    b6790^2 + 0.1535845*b6790*b6791 + 534*b6791 + 0.307169*b6791^2 + 0.07188*
    b6791*b6792 + 1017*b6792 + 0.1437595*b6792*b6792 + 0.1935755*b6792*b6793 + 
    1080*b6793 + 0.3871505*b6793^2 + 0.2260805*b6793*b6794 + 433*b6794 + 
    0.452161*b6794^2 + 0.1803635*b6794*b6795 + 670*b6795 + 0.360727*b6795^2 + 
    0.144104*b6795*b6796 + 651*b6796 + 0.2882085*b6796^2 + 0.1769205*b6796*
    b6797 + 1213*b6797 + 0.3538415*b6797^2 + 0.0176893*b6797*b6798 + 877*b6798
     + 0.03537865*b6798^2 + 0.217983*b6798*b6799 + 634*b6799 + 0.4359665*b6799^
    2 + 0.0640215*b6799*b6800 + 393*b6800 + 0.128043*b6800^2 + 0.04654475*b6800
    *b6801 + 405*b6801 + 0.0930895*b6801^2 + 0.1590065*b6801*b6802 + 693*b6802
     + 0.318013*b6802^2 + 0.001653865*b6802*b6803 + 65*b6803 + 0.003307725*
    b6803^2 + 0.1657195*b6803*b6804 + 258*b6804 + 0.331439*b6804^2 + 
    0.004778925*b6804*b6805 + 912*b6805 + 0.00955785*b6805^2 + 0.1149765*b6805*
    b6806 + 284*b6806 + 0.229953*b6806^2 + 0.079869*b6806*b6807 + 515*b6807 + 
    0.1597375*b6807^2 + 0.245675*b6807*b6808 + 525*b6808 + 0.49135*b6808^2 + 
    0.144667*b6808*b6809 + 434*b6809 + 0.289334*b6809^2 + 0.1341915*b6809*b6810
     + 54*b6810 + 0.2683825*b6810*b6810 + 0.2268465*b6810*b6811 + 1085*b6811 + 
    0.453693*b6811^2 + 0.059522*b6811*b6812 + 498*b6812 + 0.119044*b6812^2 + 
    0.243125*b6812*b6813 + 568*b6813 + 0.48625*b6813^2 + 0.02449615*b6813*b6814
     + 799*b6814 + 0.04899225*b6814^2 + 0.2407045*b6814*b6815 + 395*b6815 + 
    0.4814095*b6815^2 + 0.2199695*b6815*b6816 + 261*b6816 + 0.4399385*b6816^2
     + 0.0791045*b6816*b6817 + 433*b6817 + 0.158209*b6817^2 + 0.0688*b6817*
    b6818 + 859*b6818 + 0.1375995*b6818^2 + 0.04178625*b6818*b6819 + 579*b6819
     + 0.0835725*b6819^2 + 0.0721775*b6819*b6820 + 676*b6820 + 0.1443555*b6820^
    2 + 0.04241*b6820*b6821 + 574*b6821 + 0.08482*b6821^2 + 0.1573085*b6821*
    b6822 + 873*b6822 + 0.3146165*b6822^2 + 0.02048775*b6822*b6823 + 699*b6823
     + 0.0409755*b6823^2 + 0.0671875*b6823*b6824 + 689*b6824 + 0.1343745*b6824^
    2 + 0.0945405*b6824*b6825 + 437*b6825 + 0.189081*b6825^2 + 0.0092606*b6825*
    b6826 + 416*b6826 + 0.01852125*b6826^2 + 0.148652*b6826*b6827 + 427*b6827
     + 0.297304*b6827*b6827 + 0.24225*b6827*b6828 + 502*b6828 + 0.4845*b6828^2
     + 0.0895845*b6828*b6829 + 634*b6829 + 0.179169*b6829^2 + 0.111497*b6829*
    b6830 + 928*b6830 + 0.2229935*b6830^2 + 0.01679045*b6830*b6831 + 833*b6831
     + 0.0335809*b6831^2 + 0.133614*b6831*b6832 + 58*b6832 + 0.2672285*b6832*
    b6832 + 0.2004315*b6832*b6833 + 1002*b6833 + 0.400863*b6833^2 + 0.0665955*
    b6833*b6834 + 557*b6834 + 0.1331915*b6834^2 + 0.0405345*b6834*b6835 + 855*
    b6835 + 0.081069*b6835^2 + 0.038047*b6835*b6836 + 255*b6836 + 0.076094*
    b6836^2 + 0.1986015*b6836*b6837 + 684*b6837 + 0.3972025*b6837^2 + 
    0.03360275*b6837*b6838 + 330*b6838 + 0.0672055*b6838^2 + 0.1649715*b6838*
    b6839 + 590*b6839 + 0.3299425*b6839^2 + 0.127293*b6839*b6840 + 1254*b6840
     + 0.2545865*b6840^2 + 0.1903045*b6840*b6841 + 259*b6841 + 0.3806085*b6841^
    2 + 0.095856*b6841*b6842 + 786*b6842 + 0.191712*b6842^2 + 0.075268*b6842*
    b6843 + 949*b6843 + 0.1505365*b6843^2 + 0.07071*b6843*b6844 + 621*b6844 + 
    0.1414195*b6844*b6844 + 0.01006125*b6844*b6845 + 445*b6845 + 0.02012245*
    b6845^2 + 0.0516865*b6845*b6846 + 518*b6846 + 0.103373*b6846^2 + 0.0189697*
    b6846*b6847 + 260*b6847 + 0.03793945*b6847^2 + 0.1362735*b6847*b6848 + 1362
    *b6848 + 0.2725465*b6848^2 + 0.002800475*b6848*b6849 + 71*b6849 + 
    0.00560095*b6849^2 + 0.1942215*b6849*b6850 + 707*b6850 + 0.3884435*b6850^2
     + 0.1381835*b6850*b6851 + 472*b6851 + 0.276367*b6851^2 + 0.06427*b6851*
    b6852 + 417*b6852 + 0.1285395*b6852^2 + 0.187234*b6852*b6853 + 560*b6853 + 
    0.3744685*b6853^2 + 0.1494895*b6853*b6854 + 634*b6854 + 0.298979*b6854^2 + 
    0.1611995*b6854*b6855 + 468*b6855 + 0.322399*b6855^2 + 0.2218555*b6855*
    b6856 + 589*b6856 + 0.4437115*b6856*b6856 + 0.12074*b6856*b6857 + 783*b6857
     + 0.2414795*b6857^2 + 0.0607825*b6857*b6858 + 723*b6858 + 0.121565*b6858^2
     + 0.2329685*b6858*b6859 + 551*b6859 + 0.465937*b6859^2 + 0.115009*b6859*
    b6860 + 452*b6860 + 0.2300185*b6860^2 + 0.218081*b6860*b6861 + 354*b6861 + 
    0.436162*b6861^2 + 0.1980195*b6861*b6862 + 360*b6862 + 0.396039*b6862*b6862
     + 0.00153547*b6862*b6863 + 427*b6863 + 0.003070945*b6863^2 + 0.03501875*
    b6863*b6864 + 262*b6864 + 0.0700375*b6864^2 + 0.1813175*b6864*b6865 + 713*
    b6865 + 0.3626355*b6865^2 + 0.2456615*b6865*b6866 + 635*b6866 + 0.491323*
    b6866^2 + 0.2017035*b6866*b6867 + 526*b6867 + 0.403407*b6867^2 + 0.0901765*
    b6867*b6868 + 1262*b6868 + 0.180353*b6868*b6868 + 0.18758*b6868*b6869 + 403
    *b6869 + 0.37516*b6869^2 + 0.076797*b6869*b6870 + 211*b6870 + 0.153594*
    b6870^2 + 0.182081*b6870*b6871 + 642*b6871 + 0.3641615*b6871^2 + 0.112745*
    b6871*b6872 + 738*b6872 + 0.22549*b6872^2 + 0.103266*b6872*b6873 + 293*
    b6873 + 0.2065315*b6873*b6873 + 0.060644*b6873*b6874 + 1155*b6874 + 
    0.1212875*b6874^2 + 0.2494995*b6874*b6875 + 96*b6875 + 0.4989995*b6875^2 + 
    0.0600415*b6875*b6876 + 360*b6876 + 0.1200835*b6876^2 + 0.05473*b6876*b6877
     + 403*b6877 + 0.1094595*b6877^2 + 0.1095065*b6877*b6878 + 286*b6878 + 
    0.2190135*b6878^2 + 0.217346*b6878*b6879 + 742*b6879 + 0.434692*b6879*b6879
     + 0.2453135*b6879*b6880 + 596*b6880 + 0.490627*b6880^2 + 0.0097646*b6880*
    b6881 + 377*b6881 + 0.0195292*b6881^2 + 0.2136505*b6881*b6882 + 629*b6882
     + 0.4273005*b6882^2 + 0.1677885*b6882*b6883 + 406*b6883 + 0.3355775*b6883^
    2 + 0.127178*b6883*b6884 + 223*b6884 + 0.2543555*b6884^2 + 0.151161*b6884*
    b6885 + 997*b6885 + 0.302322*b6885*b6885 + 0.0697795*b6885*b6886 + 763*
    b6886 + 0.139559*b6886^2 + 0.198494*b6886*b6887 + 1091*b6887 + 0.396988*
    b6887^2 + 0.0472575*b6887*b6888 + 979*b6888 + 0.094515*b6888^2 + 0.04101075
    *b6888*b6889 + 402*b6889 + 0.0820215*b6889^2 + 0.224444*b6889*b6890 + 790*
    b6890 + 0.448888*b6890^2 + 0.099529*b6890*b6891 + 522*b6891 + 0.199058*
    b6891*b6891 + 0.0453425*b6891*b6892 + 815*b6892 + 0.090685*b6892^2 + 
    0.1732405*b6892*b6893 + 533*b6893 + 0.346481*b6893^2 + 0.1417675*b6893*
    b6894 + 673*b6894 + 0.2835355*b6894^2 + 0.091156*b6894*b6895 + 832*b6895 + 
    0.182312*b6895^2 + 0.1369565*b6895*b6896 + 218*b6896 + 0.2739135*b6896^2 + 
    0.1893315*b6896*b6897 + 423*b6897 + 0.3786625*b6897^2 + 0.0342265*b6897*
    b6898 + 586*b6898 + 0.068453*b6898^2 + 0.138202*b6898*b6899 + 513*b6899 + 
    0.276404*b6899^2 + 0.134206*b6899*b6900 + 914*b6900 + 0.2684125*b6900^2 + 
    0.09501*b6900*b6901 + 354*b6901 + 0.19002*b6901^2 + 0.214289*b6901*b6902 + 
    43*b6902 + 0.4285785*b6902^2 + 0.0718725*b6902*b6903 + 539*b6903 + 
    0.1437455*b6903^2 + 0.2166345*b6903*b6904 + 454*b6904 + 0.433269*b6904^2 + 
    0.0709125*b6904*b6905 + 200*b6905 + 0.1418255*b6905^2 + 0.1195885*b6905*
    b6906 + 235*b6906 + 0.239177*b6906^2 + 0.10127*b6906*b6907 + 241*b6907 + 
    0.2025395*b6907^2 + 0.1691035*b6907*b6908 + 415*b6908 + 0.3382075*b6908^2
     + 0.095184*b6908*b6909 + 859*b6909 + 0.190368*b6909^2 + 0.2469365*b6909*
    b6910 + 387*b6910 + 0.493873*b6910^2 + 0.0187949*b6910*b6911 + 359*b6911 + 
    0.0375898*b6911^2 + 0.1761535*b6911*b6912 + 430*b6912 + 0.3523075*b6912^2
     + 0.1181455*b6912*b6913 + 834*b6913 + 0.2362915*b6913^2 + 0.0198922*b6913*
    b6914 + 750*b6914 + 0.0397844*b6914^2 + 0.1629125*b6914*b6915 + 587*b6915
     + 0.3258245*b6915^2 + 0.1008325*b6915*b6916 + 542*b6916 + 0.201665*b6916^2
     + 0.1738735*b6916*b6917 + 869*b6917 + 0.3477475*b6917^2 + 0.106062*b6917*
    b6918 + 592*b6918 + 0.2121245*b6918^2 + 0.01210035*b6918*b6919 + 573*b6919
     + 0.0242007*b6919^2 + 0.147826*b6919*b6920 + 952*b6920 + 0.2956515*b6920^2
     + 0.0408865*b6920*b6921 + 512*b6921 + 0.081773*b6921^2 + 0.04075425*b6921*
    b6922 + 445*b6922 + 0.0815085*b6922^2 + 0.2089655*b6922*b6923 + 277*b6923
     + 0.417931*b6923^2 + 0.131965*b6923*b6924 + 71*b6924 + 0.26393*b6924^2 + 
    0.01480815*b6924*b6925 + 469*b6925 + 0.02961625*b6925^2 + 0.090487*b6925*
    b6926 + 1522*b6926 + 0.1809735*b6926^2 + 0.184479*b6926*b6927 + 230*b6927
     + 0.368958*b6927^2 + 0.0540295*b6927*b6928 + 455*b6928 + 0.108059*b6928^2
     + 0.235572*b6928*b6929 + 821*b6929 + 0.471144*b6929^2 + 0.1240915*b6929*
    b6930 + 982*b6930 + 0.248183*b6930^2 + 0.0115751*b6930*b6931 + 593*b6931 + 
    0.0231502*b6931*b6931 + 0.2368375*b6931*b6932 + 233*b6932 + 0.473675*b6932^
    2 + 0.056395*b6932*b6933 + 658*b6933 + 0.11279*b6933^2 + 0.0357085*b6933*
    b6934 + 330*b6934 + 0.071417*b6934^2 + 0.04348175*b6934*b6935 + 247*b6935
     + 0.0869635*b6935^2 + 0.0093981*b6935*b6936 + 645*b6936 + 0.0187962*b6936^
    2 + 0.02437815*b6936*b6937 + 577*b6937 + 0.04875635*b6937^2 + 0.139971*
    b6937*b6938 + 434*b6938 + 0.2799415*b6938^2 + 0.054413*b6938*b6939 + 400*
    b6939 + 0.108826*b6939^2 + 0.150578*b6939*b6940 + 315*b6940 + 0.3011565*
    b6940^2 + 0.093218*b6940*b6941 + 736*b6941 + 0.186436*b6941^2 + 0.1335185*
    b6941*b6942 + 1129*b6942 + 0.267037*b6942^2 + 0.1557565*b6942*b6943 + 1619*
    b6943 + 0.3115125*b6943^2 + 0.236243*b6943*b6944 + 742*b6944 + 0.4724855*
    b6944^2 + 0.02544325*b6944*b6945 + 450*b6945 + 0.0508865*b6945^2 + 0.088159
    *b6945*b6946 + 431*b6946 + 0.1763185*b6946^2 + 0.0494035*b6946*b6947 + 280*
    b6947 + 0.098807*b6947^2 + 0.1284375*b6947*b6948 + 442*b6948 + 0.2568755*
    b6948^2 + 0.218377*b6948*b6949 + 924*b6949 + 0.436754*b6949*b6949 + 
    0.188323*b6949*b6950 + 456*b6950 + 0.376646*b6950^2 + 0.098415*b6950*b6951
     + 217*b6951 + 0.1968305*b6951^2 + 0.1455135*b6951*b6952 + 502*b6952 + 
    0.2910265*b6952^2 + 0.1160755*b6952*b6953 + 681*b6953 + 0.2321505*b6953^2
     + 0.000707315*b6953*b6954 + 373*b6954 + 0.00141463*b6954^2 + 0.1152385*
    b6954*b6955 + 882*b6955 + 0.230477*b6955^2 + 0.0080143*b6955*b6956 + 123*
    b6956 + 0.01602865*b6956^2 + 0.026327*b6956*b6957 + 632*b6957 + 0.052654*
    b6957^2 + 0.0585745*b6957*b6958 + 498*b6958 + 0.1171485*b6958^2 + 0.172882*
    b6958*b6959 + 393*b6959 + 0.3457635*b6959^2 + 0.03586725*b6959*b6960 + 677*
    b6960 + 0.0717345*b6960^2 + 0.03140075*b6960*b6961 + 458*b6961 + 0.0628015*
    b6961^2 + 0.130801*b6961*b6962 + 517*b6962 + 0.261602*b6962^2 + 0.1048405*
    b6962*b6963 + 707*b6963 + 0.209681*b6963^2 + 0.062366*b6963*b6964 + 562*
    b6964 + 0.124732*b6964^2 + 0.01017545*b6964*b6965 + 448*b6965 + 0.02035095*
    b6965^2 + 0.2112605*b6965*b6966 + 458*b6966 + 0.4225215*b6966^2 + 0.2324805
    *b6966*b6967 + 828*b6967 + 0.464961*b6967*b6967 + 0.2052555*b6967*b6968 + 
    448*b6968 + 0.4105105*b6968^2 + 0.052103*b6968*b6969 + 471*b6969 + 
    0.1042065*b6969^2 + 0.002526775*b6969*b6970 + 453*b6970 + 0.00505355*b6970^
    2 + 0.1128695*b6970*b6971 + 401*b6971 + 0.2257385*b6971^2 + 0.107042*b6971*
    b6972 + 534*b6972 + 0.214084*b6972^2 + 0.03315825*b6972*b6973 + 628*b6973
     + 0.0663165*b6973^2 + 0.00854745*b6973*b6974 + 386*b6974 + 0.0170949*b6974
    ^2 + 0.1741775*b6974*b6975 + 237*b6975 + 0.3483555*b6975^2 + 0.2075345*
    b6975*b6976 + 755*b6976 + 0.4150685*b6976^2 + 0.111533*b6976*b6977 + 673*
    b6977 + 0.223066*b6977^2 + 0.0388165*b6977*b6978 + 499*b6978 + 0.077633*
    b6978^2 + 0.056908*b6978*b6979 + 391*b6979 + 0.1138155*b6979*b6979 + 
    0.2043695*b6979*b6980 + 268*b6980 + 0.4087385*b6980^2 + 0.15663*b6980*b6981
     + 357*b6981 + 0.31326*b6981^2 + 0.2333255*b6981*b6982 + 505*b6982 + 
    0.4666505*b6982^2 + 0.1310155*b6982*b6983 + 733*b6983 + 0.262031*b6983^2 + 
    0.1946725*b6983*b6984 + 361*b6984 + 0.389345*b6984^2 + 0.0448495*b6984*
    b6985 + 742*b6985 + 0.089699*b6985*b6985 + 0.11014*b6985*b6986 + 769*b6986
     + 0.2202805*b6986^2 + 0.1754045*b6986*b6987 + 419*b6987 + 0.3508095*b6987^
    2 + 0.08211*b6987*b6988 + 317*b6988 + 0.16422*b6988^2 + 0.02302745*b6988*
    b6989 + 614*b6989 + 0.04605485*b6989^2 + 0.155932*b6989*b6990 + 519*b6990
     + 0.3118645*b6990^2 + 0.1157525*b6990*b6991 + 974*b6991 + 0.231505*b6991*
    b6991 + 0.03233825*b6991*b6992 + 444*b6992 + 0.0646765*b6992^2 + 0.2023795*
    b6992*b6993 + 362*b6993 + 0.4047585*b6993^2 + 0.0738245*b6993*b6994 + 415*
    b6994 + 0.1476495*b6994^2 + 0.0248396*b6994*b6995 + 723*b6995 + 0.0496792*
    b6995^2 + 0.171667*b6995*b6996 + 468*b6996 + 0.3433335*b6996^2 + 0.1213235*
    b6996*b6997 + 289*b6997 + 0.242647*b6997*b6997 + 0.095406*b6997*b6998 + 344
    *b6998 + 0.190812*b6998^2 + 0.196008*b6998*b6999 + 741*b6999 + 0.3920165*
    b6999^2 + 0.1533895*b6999*b7000 + 382*b7000 + 0.306779*b7000^2 + 0.1948235*
    b7000*b7001 + 409*b7001 + 0.389647*b7001^2 + 0.2262*b7001*b7002 + 686*b7002
     + 0.4524005*b7002^2 + 0.2197825*b7002*b7003 + 556*b7003 + 0.439565*b7003^2
     + 0.02834025*b7003*b7004 + 620*b7004 + 0.0566805*b7004^2 + 0.0974035*b7004
    *b7005 + 477*b7005 + 0.1948075*b7005^2 + 0.03655725*b7005*b7006 + 799*b7006
     + 0.0731145*b7006^2 + 0.1184465*b7006*b7007 + 461*b7007 + 0.236893*b7007^2
     + 0.00510165*b7007*b7008 + 507*b7008 + 0.0102033*b7008^2 + 0.216571*b7008*
    b7009 + 241*b7009 + 0.4331415*b7009^2 + 0.0698975*b7009*b7010 + 651*b7010
     + 0.139795*b7010^2 + 0.244335*b7010*b7011 + 701*b7011 + 0.48867*b7011^2 + 
    0.069483*b7011*b7012 + 1191*b7012 + 0.138966*b7012^2 + 0.176776*b7012*b7013
     + 424*b7013 + 0.353552*b7013^2 + 0.0995355*b7013*b7014 + 674*b7014 + 
    0.1990705*b7014^2 + 0.0242825*b7014*b7015 + 880*b7015 + 0.048565*b7015^2 + 
    0.204947*b7015*b7016 + 716*b7016 + 0.409894*b7016^2 + 0.154454*b7016*b7017
     + 218*b7017 + 0.3089085*b7017^2 + 0.2151365*b7017*b7018 + 1127*b7018 + 
    0.4302725*b7018^2 + 0.208266*b7018*b7019 + 690*b7019 + 0.416532*b7019*b7019
     + 0.0634455*b7019*b7020 + 62*b7020 + 0.1268915*b7020^2 + 0.1415585*b7020*
    b7021 + 617*b7021 + 0.283117*b7021^2 + 0.2007085*b7021*b7022 + 689*b7022 + 
    0.4014175*b7022^2 + 0.2175535*b7022*b7023 + 438*b7023 + 0.435107*b7023^2 + 
    0.244765*b7023*b7024 + 369*b7024 + 0.4895305*b7024^2 + 0.2176335*b7024*
    b7025 + 463*b7025 + 0.435267*b7025*b7025 + 0.106264*b7025*b7026 + 35*b7026
     + 0.212528*b7026^2 + 0.205269*b7026*b7027 + 803*b7027 + 0.4105385*b7027^2
     + 0.2481015*b7027*b7028 + 676*b7028 + 0.496203*b7028^2 + 0.1868275*b7028*
    b7029 + 917*b7029 + 0.3736545*b7029^2 + 0.1247755*b7029*b7030 + 446*b7030
     + 0.249551*b7030*b7030 + 0.0831815*b7030*b7031 + 696*b7031 + 0.166363*
    b7031^2 + 0.0567045*b7031*b7032 + 781*b7032 + 0.1134095*b7032^2 + 0.2066195
    *b7032*b7033 + 168*b7033 + 0.413239*b7033^2 + 0.054698*b7033*b7034 + 585*
    b7034 + 0.1093955*b7034^2 + 0.065996*b7034*b7035 + 309*b7035 + 0.1319915*
    b7035^2 + 0.03397325*b7035*b7036 + 421*b7036 + 0.0679465*b7036^2 + 
    0.0409785*b7036*b7037 + 435*b7037 + 0.081957*b7037^2 + 0.1922455*b7037*
    b7038 + 575*b7038 + 0.3844905*b7038^2 + 0.234611*b7038*b7039 + 399*b7039 + 
    0.4692215*b7039^2 + 0.075588*b7039*b7040 + 495*b7040 + 0.1511765*b7040^2 + 
    0.2323325*b7040*b7041 + 755*b7041 + 0.464665*b7041^2 + 0.1171085*b7041*
    b7042 + 361*b7042 + 0.2342175*b7042*b7042 + 0.066395*b7042*b7043 + 604*
    b7043 + 0.1327895*b7043^2 + 0.180867*b7043*b7044 + 363*b7044 + 0.361734*
    b7044^2 + 0.2439535*b7044*b7045 + 758*b7045 + 0.4879065*b7045^2 + 0.1443475
    *b7045*b7046 + 340*b7046 + 0.2886955*b7046^2 + 0.0178786*b7046*b7047 + 1145
    *b7047 + 0.03575715*b7047^2 + 0.039702*b7047*b7048 + 718*b7048 + 0.079404*
    b7048*b7048 + 0.122464*b7048*b7049 + 453*b7049 + 0.244928*b7049^2 + 
    0.0086959*b7049*b7050 + 526*b7050 + 0.01739175*b7050^2 + 0.01152965*b7050*
    b7051 + 80*b7051 + 0.02305935*b7051^2 + 0.1867905*b7051*b7052 + 220*b7052
     + 0.373581*b7052^2 + 0.077972*b7052*b7053 + 884*b7053 + 0.155944*b7053^2
     + 0.0948925*b7053*b7054 + 750*b7054 + 0.189785*b7054*b7054 + 0.0344475*
    b7054*b7055 + 239*b7055 + 0.068895*b7055^2 + 0.03859*b7055*b7056 + 1076*
    b7056 + 0.07718*b7056^2 + 0.114918*b7056*b7057 + 703*b7057 + 0.229836*b7057
    ^2 + 0.0624485*b7057*b7058 + 530*b7058 + 0.124897*b7058^2 + 0.128666*b7058*
    b7059 + 517*b7059 + 0.257332*b7059*b7059 + 0.02336045*b7059*b7060 + 569*
    b7060 + 0.04672095*b7060^2 + 0.2142285*b7060*b7061 + 591*b7061 + 0.4284575*
    b7061^2 + 0.0939845*b7061*b7062 + 1194*b7062 + 0.187969*b7062^2 + 0.145068*
    b7062*b7063 + 358*b7063 + 0.290136*b7063^2 + 0.110311*b7063*b7064 + 861*
    b7064 + 0.2206225*b7064^2 + 0.201485*b7064*b7065 + 459*b7065 + 0.40297*
    b7065*b7065 + 0.0275205*b7065*b7066 + 458*b7066 + 0.055041*b7066^2 + 
    0.099674*b7066*b7067 + 101*b7067 + 0.1993475*b7067^2 + 0.2404815*b7067*
    b7068 + 193*b7068 + 0.4809625*b7068^2 + 0.2097855*b7068*b7069 + 719*b7069
     + 0.4195715*b7069^2 + 0.068075*b7069*b7070 + 676*b7070 + 0.1361495*b7070^2
     + 0.100369*b7070*b7071 + 1001*b7071 + 0.200738*b7071*b7071 + 0.209196*
    b7071*b7072 + 464*b7072 + 0.4183915*b7072^2 + 0.2379875*b7072*b7073 + 391*
    b7073 + 0.4759755*b7073^2 + 0.185039*b7073*b7074 + 532*b7074 + 0.3700785*
    b7074^2 + 0.04564025*b7074*b7075 + 882*b7075 + 0.0912805*b7075^2 + 
    0.1856815*b7075*b7076 + 387*b7076 + 0.371363*b7076^2 + 0.1069855*b7076*
    b7077 + 396*b7077 + 0.213971*b7077*b7077 + 0.231503*b7077*b7078 + 1121*
    b7078 + 0.4630065*b7078^2 + 0.16529*b7078*b7079 + 506*b7079 + 0.3305805*
    b7079^2 + 0.0637965*b7079*b7080 + 396*b7080 + 0.127593*b7080^2 + 0.182635*
    b7080*b7081 + 1041*b7081 + 0.36527*b7081^2 + 0.196281*b7081*b7082 + 352*
    b7082 + 0.3925615*b7082^2 + 0.113591*b7082*b7083 + 939*b7083 + 0.2271815*
    b7083^2 + 0.1717745*b7083*b7084 + 489*b7084 + 0.343549*b7084^2 + 0.2274395*
    b7084*b7085 + 605*b7085 + 0.4548785*b7085^2 + 0.074478*b7085*b7086 + 626*
    b7086 + 0.1489565*b7086^2 + 0.0118959*b7086*b7087 + 360*b7087 + 0.0237918*
    b7087^2 + 0.1859065*b7087*b7088 + 220*b7088 + 0.371813*b7088*b7088 + 
    0.2008925*b7088*b7089 + 695*b7089 + 0.401785*b7089^2 + 0.2068495*b7089*
    b7090 + 244*b7090 + 0.4136995*b7090^2 + 0.01643015*b7090*b7091 + 946*b7091
     + 0.03286025*b7091^2 + 0.1037675*b7091*b7092 + 241*b7092 + 0.2075345*b7092
    ^2 + 0.221426*b7092*b7093 + 592*b7093 + 0.4428515*b7093^2 + 0.0708175*b7093
    *b7094 + 330*b7094 + 0.141635*b7094*b7094 + 0.1365465*b7094*b7095 + 431*
    b7095 + 0.273093*b7095^2 + 0.2185365*b7095*b7096 + 674*b7096 + 0.437073*
    b7096^2 + 0.050979*b7096*b7097 + 325*b7097 + 0.101958*b7097^2 + 0.1163065*
    b7097*b7098 + 677*b7098 + 0.232613*b7098^2 + 0.2490345*b7098*b7099 + 650*
    b7099 + 0.4980685*b7099^2 + 0.129005*b7099*b7100 + 279*b7100 + 0.25801*
    b7100*b7100 + 0.0820635*b7100*b7101 + 710*b7101 + 0.164127*b7101^2 + 
    0.184993*b7101*b7102 + 265*b7102 + 0.369986*b7102^2 + 0.0385815*b7102*b7103
     + 438*b7103 + 0.077163*b7103^2 + 0.223721*b7103*b7104 + 902*b7104 + 
    0.447442*b7104^2 + 0.162*b7104*b7105 + 435*b7105 + 0.324*b7105*b7105 + 
    0.192819*b7105*b7106 + 415*b7106 + 0.3856375*b7106^2 + 0.02742375*b7106*
    b7107 + 868*b7107 + 0.0548475*b7107^2 + 0.176187*b7107*b7108 + 435*b7108 + 
    0.352374*b7108^2 + 0.1925285*b7108*b7109 + 654*b7109 + 0.3850565*b7109^2 + 
    0.02552225*b7109*b7110 + 1027*b7110 + 0.0510445*b7110^2 + 0.1883265*b7110*
    b7111 + 489*b7111 + 0.3766525*b7111^2 + 0.057277*b7111*b7112 + 450*b7112 + 
    0.1145535*b7112^2 + 0.01929665*b7112*b7113 + 519*b7113 + 0.03859325*b7113^2
     + 0.02985125*b7113*b7114 + 941*b7114 + 0.0597025*b7114^2 + 0.1914365*b7114
    *b7115 + 376*b7115 + 0.3828725*b7115^2 + 0.1674625*b7115*b7116 + 790*b7116
     + 0.3349255*b7116^2 + 0.1165725*b7116*b7117 + 437*b7117 + 0.2331445*b7117^
    2 + 0.0147871*b7117*b7118 + 430*b7118 + 0.02957425*b7118^2 + 0.212173*b7118
    *b7119 + 580*b7119 + 0.424346*b7119^2 + 0.1328555*b7119*b7120 + 711*b7120
     + 0.265711*b7120^2 + 0.131371*b7120*b7121 + 219*b7121 + 0.2627425*b7121^2
     + 0.0523965*b7121*b7122 + 572*b7122 + 0.104793*b7122^2 + 0.0846865*b7122*
    b7123 + 894*b7123 + 0.1693725*b7123*b7123 + 0.159199*b7123*b7124 + 603*
    b7124 + 0.318398*b7124^2 + 0.179971*b7124*b7125 + 376*b7125 + 0.3599425*
    b7125^2 + 0.02349955*b7125*b7126 + 512*b7126 + 0.04699905*b7126^2 + 
    0.0229971*b7126*b7127 + 607*b7127 + 0.0459942*b7127^2 + 0.1533935*b7127*
    b7128 + 446*b7128 + 0.306787*b7128^2 + 0.0181993*b7128*b7129 + 499*b7129 + 
    0.03639865*b7129^2 + 0.1040325*b7129*b7130 + 933*b7130 + 0.208065*b7130^2
     + 0.004929925*b7130*b7131 + 975*b7131 + 0.00985985*b7131^2 + 0.101567*
    b7131*b7132 + 420*b7132 + 0.2031345*b7132^2 + 0.1299425*b7132*b7133 + 1863*
    b7133 + 0.2598845*b7133^2 + 0.145645*b7133*b7134 + 652*b7134 + 0.29129*
    b7134^2 + 0.225986*b7134*b7135 + 614*b7135 + 0.4519715*b7135*b7135 + 
    0.02295315*b7135*b7136 + 608*b7136 + 0.04590635*b7136^2 + 0.128316*b7136*
    b7137 + 573*b7137 + 0.2566315*b7137^2 + 0.172612*b7137*b7138 + 800*b7138 + 
    0.3452235*b7138^2 + 0.1689135*b7138*b7139 + 695*b7139 + 0.337827*b7139^2 + 
    0.214635*b7139*b7140 + 928*b7140 + 0.42927*b7140^2 + 0.147338*b7140*b7141
     + 480*b7141 + 0.294676*b7141^2 + 0.066416*b7141*b7142 + 259*b7142 + 
    0.1328325*b7142^2 + 0.1002365*b7142*b7143 + 520*b7143 + 0.2004735*b7143^2
     + 0.1652375*b7143*b7144 + 691*b7144 + 0.3304745*b7144^2 + 0.04412175*b7144
    *b7145 + 445*b7145 + 0.0882435*b7145^2 + 0.0668525*b7145*b7146 + 288*b7146
     + 0.133705*b7146*b7146 + 0.182703*b7146*b7147 + 558*b7147 + 0.365406*b7147
    ^2 + 0.240389*b7147*b7148 + 583*b7148 + 0.480778*b7148^2 + 0.058287*b7148*
    b7149 + 419*b7149 + 0.116574*b7149^2 + 0.2220665*b7149*b7150 + 564*b7150 + 
    0.444133*b7150^2 + 0.031569*b7150*b7151 + 947*b7151 + 0.063138*b7151^2 + 
    0.236999*b7151*b7152 + 347*b7152 + 0.4739975*b7152^2 + 0.24025*b7152*b7153
     + 464*b7153 + 0.4805005*b7153^2 + 0.190256*b7153*b7154 + 886*b7154 + 
    0.380512*b7154^2 + 0.0871675*b7154*b7155 + 476*b7155 + 0.174335*b7155^2 + 
    0.2399565*b7155*b7156 + 893*b7156 + 0.4799135*b7156^2 + 0.2457895*b7156*
    b7157 + 926*b7157 + 0.491579*b7157*b7157 + 0.162093*b7157*b7158 + 513*b7158
     + 0.3241865*b7158^2 + 0.1944835*b7158*b7159 + 613*b7159 + 0.388967*b7159^2
     + 0.1844485*b7159*b7160 + 261*b7160 + 0.3688975*b7160^2 + 0.100393*b7160*
    b7161 + 748*b7161 + 0.200786*b7161^2 + 0.2139825*b7161*b7162 + 571*b7162 + 
    0.4279645*b7162^2 + 0.0686555*b7162*b7163 + 664*b7163 + 0.137311*b7163*
    b7163 + 0.2111595*b7163*b7164 + 482*b7164 + 0.422319*b7164^2 + 0.223948*
    b7164*b7165 + 376*b7165 + 0.4478955*b7165^2 + 0.0349635*b7165*b7166 + 842*
    b7166 + 0.069927*b7166^2 + 0.02367605*b7166*b7167 + 558*b7167 + 0.0473521*
    b7167^2 + 0.1595855*b7167*b7168 + 973*b7168 + 0.319171*b7168^2 + 0.2196965*
    b7168*b7169 + 572*b7169 + 0.4393935*b7169*b7169 + 0.0032716*b7169*b7170 + 
    590*b7170 + 0.0065432*b7170^2 + 0.1132925*b7170*b7171 + 524*b7171 + 
    0.226585*b7171^2 + 0.2119975*b7171*b7172 + 451*b7172 + 0.423995*b7172^2 + 
    0.02480165*b7172*b7173 + 1150*b7173 + 0.0496033*b7173^2 + 0.2360115*b7173*
    b7174 + 404*b7174 + 0.4720225*b7174^2 + 0.1459235*b7174*b7175 + 407*b7175
     + 0.2918475*b7175^2 + 0.115972*b7175*b7176 + 495*b7176 + 0.231944*b7176^2
     + 0.2374775*b7176*b7177 + 909*b7177 + 0.4749555*b7177^2 + 0.140572*b7177*
    b7178 + 1230*b7178 + 0.281144*b7178^2 + 0.209239*b7178*b7179 + 1110*b7179
     + 0.418478*b7179^2 + 0.0572815*b7179*b7180 + 1011*b7180 + 0.1145635*b7180^
    2 + 0.109602*b7180*b7181 + 605*b7181 + 0.2192045*b7181*b7181 + 0.1471405*
    b7181*b7182 + 763*b7182 + 0.2942805*b7182^2 + 0.0178207*b7182*b7183 + 789*
    b7183 + 0.03564145*b7183^2 + 0.122791*b7183*b7184 + 440*b7184 + 0.245582*
    b7184^2 + 0.0645345*b7184*b7185 + 647*b7185 + 0.129069*b7185^2 + 0.1210115*
    b7185*b7186 + 436*b7186 + 0.242023*b7186^2 + 0.1520255*b7186*b7187 + 674*
    b7187 + 0.3040505*b7187*b7187 + 0.0948185*b7187*b7188 + 401*b7188 + 
    0.189637*b7188^2 + 0.2233835*b7188*b7189 + 345*b7189 + 0.4467665*b7189^2 + 
    0.2342235*b7189*b7190 + 296*b7190 + 0.468447*b7190^2 + 0.1844185*b7190*
    b7191 + 1115*b7191 + 0.368837*b7191^2 + 0.00827015*b7191*b7192 + 412*b7192
     + 0.0165403*b7192^2 + 0.175082*b7192*b7193 + 350*b7193 + 0.350164*b7193*
    b7193 + 0.135668*b7193*b7194 + 503*b7194 + 0.271336*b7194^2 + 0.143989*
    b7194*b7195 + 696*b7195 + 0.287978*b7195^2 + 0.0147572*b7195*b7196 + 602*
    b7196 + 0.02951435*b7196^2 + 0.03598825*b7196*b7197 + 381*b7197 + 0.0719765
    *b7197^2 + 0.01293695*b7197*b7198 + 475*b7198 + 0.02587385*b7198^2 + 
    0.0620485*b7198*b7199 + 813*b7199 + 0.124097*b7199^2 + 0.063283*b7199*b7200
     + 52*b7200 + 0.126566*b7200^2 + 0.1023965*b7200*b7201 + 311*b7201 + 
    0.2047935*b7201^2 + 0.0520445*b7201*b7202 + 654*b7202 + 0.1040885*b7202^2
     + 0.2416565*b7202*b7203 + 426*b7203 + 0.483313*b7203^2 + 0.0390365*b7203*
    b7204 + 723*b7204 + 0.078073*b7204*b7204 + 0.03224175*b7204*b7205 + 514*
    b7205 + 0.0644835*b7205^2 + 0.2266815*b7205*b7206 + 1009*b7206 + 0.453363*
    b7206^2 + 0.00248457*b7206*b7207 + 216*b7207 + 0.004969135*b7207^2 + 
    0.098835*b7207*b7208 + 418*b7208 + 0.19767*b7208^2 + 0.1473375*b7208*b7209
     + 888*b7209 + 0.2946755*b7209^2 + 0.2413625*b7209*b7210 + 563*b7210 + 
    0.4827245*b7210^2 + 0.01119805*b7210*b7211 + 470*b7211 + 0.02239605*b7211^2
     + 0.0519135*b7211*b7212 + 432*b7212 + 0.103827*b7212^2 + 0.0744655*b7212*
    b7213 + 318*b7213 + 0.1489315*b7213^2 + 0.191709*b7213*b7214 + 256*b7214 + 
    0.3834185*b7214^2 + 0.063999*b7214*b7215 + 528*b7215 + 0.1279985*b7215^2 + 
    0.075511*b7215*b7216 + 459*b7216 + 0.1510215*b7216*b7216 + 0.0371595*b7216*
    b7217 + 844*b7217 + 0.074319*b7217^2 + 0.2284035*b7217*b7218 + 682*b7218 + 
    0.456807*b7218^2 + 0.04605525*b7218*b7219 + 559*b7219 + 0.0921105*b7219^2
     + 0.0235057*b7219*b7220 + 623*b7220 + 0.0470114*b7220^2 + 0.054131*b7220*
    b7221 + 850*b7221 + 0.1082625*b7221^2 + 0.186899*b7221*b7222 + 390*b7222 + 
    0.373798*b7222*b7222 + 0.054397*b7222*b7223 + 202*b7223 + 0.1087935*b7223^2
     + 0.1396595*b7223*b7224 + 786*b7224 + 0.2793195*b7224^2 + 0.1157945*b7224*
    b7225 + 433*b7225 + 0.231589*b7225^2 + 0.1223805*b7225*b7226 + 661*b7226 + 
    0.244761*b7226^2 + 0.0224443*b7226*b7227 + 540*b7227 + 0.0448886*b7227^2 + 
    0.144174*b7227*b7228 + 785*b7228 + 0.288348*b7228*b7228 + 0.161872*b7228*
    b7229 + 616*b7229 + 0.3237435*b7229^2 + 0.043737*b7229*b7230 + 381*b7230 + 
    0.087474*b7230^2 + 0.071164*b7230*b7231 + 530*b7231 + 0.1423285*b7231^2 + 
    0.139421*b7231*b7232 + 469*b7232 + 0.2788415*b7232^2 + 0.0198258*b7232*
    b7233 + 58*b7233 + 0.0396516*b7233^2 + 0.1589375*b7233*b7234 + 739*b7234 + 
    0.317875*b7234*b7234 + 0.158616*b7234*b7235 + 91*b7235 + 0.317232*b7235^2
     + 0.1239465*b7235*b7236 + 241*b7236 + 0.2478935*b7236^2 + 0.166396*b7236*
    b7237 + 246*b7237 + 0.3327915*b7237^2 + 0.1775215*b7237*b7238 + 720*b7238
     + 0.355043*b7238^2 + 0.1978775*b7238*b7239 + 389*b7239 + 0.395755*b7239^2
     + 0.1919995*b7239*b7240 + 124*b7240 + 0.3839985*b7240*b7240 + 0.1399245*
    b7240*b7241 + 763*b7241 + 0.2798495*b7241^2 + 0.169305*b7241*b7242 + 210*
    b7242 + 0.3386105*b7242^2 + 0.2070955*b7242*b7243 + 875*b7243 + 0.414191*
    b7243^2 + 0.1926015*b7243*b7244 + 556*b7244 + 0.385203*b7244^2 + 0.238224*
    b7244*b7245 + 857*b7245 + 0.4764485*b7245^2 + 0.0587095*b7245*b7246 + 522*
    b7246 + 0.117419*b7246*b7246 + 0.01052435*b7246*b7247 + 395*b7247 + 
    0.0210487*b7247^2 + 0.1921585*b7247*b7248 + 748*b7248 + 0.384317*b7248^2 + 
    0.0054872*b7248*b7249 + 407*b7249 + 0.01097435*b7249^2 + 0.143272*b7249*
    b7250 + 1579*b7250 + 0.286544*b7250^2 + 0.0617815*b7250*b7251 + 436*b7251
     + 0.123563*b7251^2 + 0.00888765*b7251*b7252 + 974*b7252 + 0.0177753*b7252^
    2 + 0.067203*b7252*b7253 + 259*b7253 + 0.1344055*b7253^2 + 0.165904*b7253*
    b7254 + 499*b7254 + 0.331808*b7254^2 + 0.073775*b7254*b7255 + 319*b7255 + 
    0.14755*b7255^2 + 0.204288*b7255*b7256 + 803*b7256 + 0.408576*b7256^2 + 
    0.056016*b7256*b7257 + 86*b7257 + 0.1120325*b7257^2 + 0.1842385*b7257*b7258
     + 430*b7258 + 0.368477*b7258^2 + 0.146806*b7258*b7259 + 1004*b7259 + 
    0.293612*b7259^2 + 0.160343*b7259*b7260 + 650*b7260 + 0.320686*b7260^2 + 
    0.1187115*b7260*b7261 + 759*b7261 + 0.2374225*b7261^2 + 0.01379675*b7261*
    b7262 + 482*b7262 + 0.0275935*b7262^2 + 0.04753375*b7262*b7263 + 697*b7263
     + 0.0950675*b7263^2 + 0.060033*b7263*b7264 + 483*b7264 + 0.1200655*b7264^2
     + 0.072971*b7264*b7265 + 284*b7265 + 0.145942*b7265^2 + 0.157044*b7265*
    b7266 + 326*b7266 + 0.3140875*b7266^2 + 0.0798445*b7266*b7267 + 501*b7267
     + 0.159689*b7267^2 + 0.084261*b7267*b7268 + 566*b7268 + 0.1685225*b7268^2
     + 0.0053349*b7268*b7269 + 415*b7269 + 0.01066975*b7269^2 + 0.1994925*b7269
    *b7270 + 439*b7270 + 0.3989855*b7270^2 + 0.0554745*b7270*b7271 + 311*b7271
     + 0.1109485*b7271^2 + 0.224543*b7271*b7272 + 895*b7272 + 0.4490865*b7272^2
     + 0.01803435*b7272*b7273 + 407*b7273 + 0.03606865*b7273^2 + 0.0031231*
    b7273*b7274 + 739*b7274 + 0.0062462*b7274^2 + 0.1281985*b7274*b7275 + 389*
    b7275 + 0.2563965*b7275^2 + 0.2093555*b7275*b7276 + 845*b7276 + 0.418711*
    b7276^2 + 0.17114*b7276*b7277 + 534*b7277 + 0.3422795*b7277^2 + 0.1291145*
    b7277*b7278 + 480*b7278 + 0.258229*b7278^2 + 0.1328465*b7278*b7279 + 446*
    b7279 + 0.265693*b7279^2 + 0.2457805*b7279*b7280 + 935*b7280 + 0.4915605*
    b7280^2 + 0.1701265*b7280*b7281 + 1244*b7281 + 0.3402535*b7281^2 + 
    0.1649715*b7281*b7282 + 221*b7282 + 0.329943*b7282^2 + 0.0637435*b7282*
    b7283 + 523*b7283 + 0.127487*b7283^2 + 0.1822315*b7283*b7284 + 1609*b7284
     + 0.3644625*b7284^2 + 0.1484835*b7284*b7285 + 491*b7285 + 0.296967*b7285^2
     + 0.105819*b7285*b7286 + 518*b7286 + 0.2116375*b7286^2 + 0.0074314*b7286*
    b7287 + 453*b7287 + 0.0148628*b7287^2 + 0.1495035*b7287*b7288 + 444*b7288
     + 0.2990065*b7288^2 + 0.11983*b7288*b7289 + 919*b7289 + 0.23966*b7289^2 + 
    0.233738*b7289*b7290 + 1262*b7290 + 0.467476*b7290^2 + 0.160961*b7290*b7291
     + 520*b7291 + 0.3219215*b7291^2 + 0.21677*b7291*b7292 + 384*b7292 + 
    0.4335395*b7292^2 + 0.0649785*b7292*b7293 + 418*b7293 + 0.1299565*b7293^2
     + 0.150046*b7293*b7294 + 427*b7294 + 0.3000915*b7294^2 + 0.1431545*b7294*
    b7295 + 244*b7295 + 0.2863085*b7295^2 + 0.2491*b7295*b7296 + 363*b7296 + 
    0.4982*b7296^2 + 0.053461*b7296*b7297 + 619*b7297 + 0.106922*b7297^2 + 
    0.238237*b7297*b7298 + 614*b7298 + 0.476474*b7298^2 + 0.1664885*b7298*b7299
     + 450*b7299 + 0.3329775*b7299^2 + 0.146355*b7299*b7300 + 444*b7300 + 
    0.2927105*b7300^2 + 0.0078506*b7300*b7301 + 877*b7301 + 0.01570125*b7301^2
     + 0.004988825*b7301*b7302 + 461*b7302 + 0.00997765*b7302^2 + 0.1936925*
    b7302*b7303 + 430*b7303 + 0.3873845*b7303^2 + 0.118674*b7303*b7304 + 862*
    b7304 + 0.237348*b7304*b7304 + 0.178904*b7304*b7305 + 854*b7305 + 0.357808*
    b7305^2 + 0.0614175*b7305*b7306 + 595*b7306 + 0.122835*b7306^2 + 0.218645*
    b7306*b7307 + 442*b7307 + 0.43729*b7307^2 + 0.106839*b7307*b7308 + 550*
    b7308 + 0.2136785*b7308^2 + 0.176302*b7308*b7309 + 389*b7309 + 0.3526045*
    b7309^2 + 0.145914*b7309*b7310 + 266*b7310 + 0.2918285*b7310^2 + 0.0281165*
    b7310*b7311 + 654*b7311 + 0.056233*b7311^2 + 0.234598*b7311*b7312 + 641*
    b7312 + 0.469196*b7312^2 + 0.1142495*b7312*b7313 + 637*b7313 + 0.2284995*
    b7313^2 + 0.2462585*b7313*b7314 + 416*b7314 + 0.4925165*b7314^2 + 0.242488*
    b7314*b7315 + 461*b7315 + 0.484976*b7315*b7315 + 0.0214498*b7315*b7316 + 
    1001*b7316 + 0.0428996*b7316^2 + 0.172244*b7316*b7317 + 631*b7317 + 
    0.344488*b7317^2 + 0.0228614*b7317*b7318 + 504*b7318 + 0.0457228*b7318^2 + 
    0.211451*b7318*b7319 + 217*b7319 + 0.422902*b7319^2 + 0.0048953*b7319*b7320
     + 947*b7320 + 0.0097906*b7320^2 + 0.0896345*b7320*b7321 + 790*b7321 + 
    0.179269*b7321*b7321 + 0.2227955*b7321*b7322 + 836*b7322 + 0.4455905*b7322^
    2 + 0.1436985*b7322*b7323 + 263*b7323 + 0.2873975*b7323^2 + 0.187768*b7323*
    b7324 + 832*b7324 + 0.375536*b7324^2 + 0.1804315*b7324*b7325 + 727*b7325 + 
    0.360863*b7325^2 + 0.1907535*b7325*b7326 + 397*b7326 + 0.3815065*b7326^2 + 
    0.0644995*b7326*b7327 + 610*b7327 + 0.1289995*b7327^2 + 0.1123305*b7327*
    b7328 + 889*b7328 + 0.2246605*b7328^2 + 0.029178*b7328*b7329 + 810*b7329 + 
    0.058356*b7329^2 + 0.060844*b7329*b7330 + 1176*b7330 + 0.1216875*b7330^2 + 
    0.146668*b7330*b7331 + 444*b7331 + 0.293336*b7331^2 + 0.0772885*b7331*b7332
     + 779*b7332 + 0.154577*b7332^2 + 0.1816475*b7332*b7333 + 445*b7333 + 
    0.363295*b7333*b7333 + 0.053852*b7333*b7334 + 480*b7334 + 0.1077045*b7334^2
     + 0.206752*b7334*b7335 + 449*b7335 + 0.4135035*b7335^2 + 0.095359*b7335*
    b7336 + 457*b7336 + 0.190718*b7336^2 + 0.182043*b7336*b7337 + 573*b7337 + 
    0.3640855*b7337^2 + 0.2033275*b7337*b7338 + 581*b7338 + 0.406655*b7338^2 + 
    0.1656345*b7338*b7339 + 490*b7339 + 0.3312685*b7339*b7339 + 0.231611*b7339*
    b7340 + 593*b7340 + 0.463222*b7340^2 + 0.081611*b7340*b7341 + 456*b7341 + 
    0.1632225*b7341^2 + 0.119655*b7341*b7342 + 476*b7342 + 0.2393095*b7342^2 + 
    0.01147935*b7342*b7343 + 248*b7343 + 0.02295875*b7343^2 + 0.0375695*b7343*
    b7344 + 235*b7344 + 0.075139*b7344^2 + 0.01479395*b7344*b7345 + 616*b7345
     + 0.0295879*b7345^2 + 0.245128*b7345*b7346 + 901*b7346 + 0.4902565*b7346^2
     + 0.2303655*b7346*b7347 + 422*b7347 + 0.460731*b7347^2 + 0.105583*b7347*
    b7348 + 437*b7348 + 0.2111655*b7348^2 + 0.065504*b7348*b7349 + 603*b7349 + 
    0.1310085*b7349^2 + 5.97245e-5*b7349*b7350 + 706*b7350 + 0.0001194495*b7350
    ^2 + 0.0579295*b7350*b7351 + 500*b7351 + 0.1158585*b7351^2 + 0.0996635*
    b7351*b7352 + 393*b7352 + 0.1993275*b7352^2 + 0.0955115*b7352*b7353 + 1014*
    b7353 + 0.1910225*b7353^2 + 0.1828125*b7353*b7354 + 308*b7354 + 0.365625*
    b7354^2 + 0.02753525*b7354*b7355 + 846*b7355 + 0.0550705*b7355^2 + 
    0.1382065*b7355*b7356 + 415*b7356 + 0.2764135*b7356^2 + 0.1552815*b7356*
    b7357 + 562*b7357 + 0.310563*b7357*b7357 + 0.09883*b7357*b7358 + 410*b7358
     + 0.1976605*b7358^2 + 0.2065275*b7358*b7359 + 619*b7359 + 0.413055*b7359^2
     + 0.06315*b7359*b7360 + 576*b7360 + 0.1263*b7360^2 + 0.182995*b7360*b7361
     + 695*b7361 + 0.36599*b7361^2 + 0.140135*b7361*b7362 + 968*b7362 + 
    0.2802705*b7362^2 + 0.093697*b7362*b7363 + 452*b7363 + 0.1873945*b7363^2 + 
    0.2476925*b7363*b7364 + 680*b7364 + 0.4953855*b7364^2 + 0.03988725*b7364*
    b7365 + 464*b7365 + 0.0797745*b7365^2 + 0.182982*b7365*b7366 + 269*b7366 + 
    0.365964*b7366^2 + 0.070413*b7366*b7367 + 763*b7367 + 0.1408265*b7367^2 + 
    0.048486*b7367*b7368 + 468*b7368 + 0.096972*b7368*b7368 + 0.137476*b7368*
    b7369 + 650*b7369 + 0.2749525*b7369^2 + 0.04037*b7369*b7370 + 874*b7370 + 
    0.08074*b7370^2 + 0.1184305*b7370*b7371 + 531*b7371 + 0.2368605*b7371^2 + 
    0.046464*b7371*b7372 + 293*b7372 + 0.092928*b7372^2 + 0.106937*b7372*b7373
     + 79*b7373 + 0.213874*b7373*b7373 + 0.11855*b7373*b7374 + 461*b7374 + 
    0.2371*b7374^2 + 0.126385*b7374*b7375 + 676*b7375 + 0.25277*b7375^2 + 
    0.1843105*b7375*b7376 + 445*b7376 + 0.368621*b7376^2 + 0.0340805*b7376*
    b7377 + 416*b7377 + 0.068161*b7377^2 + 0.050682*b7377*b7378 + 515*b7378 + 
    0.1013645*b7378*b7378 + 0.146976*b7378*b7379 + 611*b7379 + 0.293952*b7379^2
     + 0.0923895*b7379*b7380 + 557*b7380 + 0.184779*b7380^2 + 0.0264685*b7380*
    b7381 + 753*b7381 + 0.052937*b7381^2 + 0.207386*b7381*b7382 + 624*b7382 + 
    0.4147725*b7382^2 + 0.2343165*b7382*b7383 + 347*b7383 + 0.4686335*b7383^2
     + 0.2345355*b7383*b7384 + 426*b7384 + 0.4690715*b7384^2 + 0.136822*b7384*
    b7385 + 408*b7385 + 0.273644*b7385^2 + 0.157297*b7385*b7386 + 502*b7386 + 
    0.314594*b7386^2 + 0.1823095*b7386*b7387 + 561*b7387 + 0.364619*b7387^2 + 
    0.211208*b7387*b7388 + 1106*b7388 + 0.4224165*b7388^2 + 0.10599*b7388*b7389
     + 656*b7389 + 0.21198*b7389^2 + 0.094718*b7389*b7390 + 622*b7390 + 
    0.189436*b7390^2 + 0.183595*b7390*b7391 + 589*b7391 + 0.36719*b7391^2 + 
    0.2495565*b7391*b7392 + 233*b7392 + 0.499113*b7392^2 + 0.06771*b7392*b7393
     + 843*b7393 + 0.13542*b7393^2 + 0.212081*b7393*b7394 + 737*b7394 + 
    0.4241625*b7394^2 + 0.2420875*b7394*b7395 + 867*b7395 + 0.484175*b7395^2 + 
    0.002560175*b7395*b7396 + 939*b7396 + 0.00512035*b7396^2 + 0.21122*b7396*
    b7397 + 246*b7397 + 0.4224405*b7397^2 + 0.224613*b7397*b7398 + 712*b7398 + 
    0.449226*b7398^2 + 0.104248*b7398*b7399 + 1167*b7399 + 0.208496*b7399^2 + 
    0.177923*b7399*b7400 + 61*b7400 + 0.355846*b7400*b7400 + 0.192647*b7400*
    b7401 + 410*b7401 + 0.3852945*b7401^2 + 0.04162475*b7401*b7402 + 429*b7402
     + 0.0832495*b7402^2 + 0.186594*b7402*b7403 + 528*b7403 + 0.3731875*b7403^2
     + 0.0515115*b7403*b7404 + 497*b7404 + 0.1030225*b7404^2 + 0.1077615*b7404*
    b7405 + 534*b7405 + 0.215523*b7405^2 + 0.244785*b7405*b7406 + 746*b7406 + 
    0.48957*b7406*b7406 + 0.2472465*b7406*b7407 + 433*b7407 + 0.494493*b7407^2
     + 0.086892*b7407*b7408 + 628*b7408 + 0.173784*b7408^2 + 0.1911975*b7408*
    b7409 + 571*b7409 + 0.3823945*b7409^2 + 0.0735635*b7409*b7410 + 758*b7410
     + 0.1471275*b7410^2 + 0.2089245*b7410*b7411 + 495*b7411 + 0.4178495*b7411^
    2 + 0.1655815*b7411*b7412 + 334*b7412 + 0.3311625*b7412^2 + 0.116428*b7412*
    b7413 + 1089*b7413 + 0.2328565*b7413^2 + 0.198426*b7413*b7414 + 874*b7414
     + 0.3968525*b7414^2 + 0.245515*b7414*b7415 + 427*b7415 + 0.4910305*b7415^2
     + 0.01695815*b7415*b7416 + 638*b7416 + 0.0339163*b7416^2 + 0.069508*b7416*
    b7417 + 267*b7417 + 0.1390165*b7417^2 + 0.2015425*b7417*b7418 + 963*b7418
     + 0.403085*b7418*b7418 + 0.2185335*b7418*b7419 + 917*b7419 + 0.4370665*
    b7419^2 + 0.1462645*b7419*b7420 + 651*b7420 + 0.2925295*b7420^2 + 0.0963715
    *b7420*b7421 + 508*b7421 + 0.1927425*b7421^2 + 0.1599625*b7421*b7422 + 572*
    b7422 + 0.319925*b7422^2 + 0.1625275*b7422*b7423 + 928*b7423 + 0.3250545*
    b7423^2 + 0.0626325*b7423*b7424 + 95*b7424 + 0.1252645*b7424*b7424 + 
    0.112062*b7424*b7425 + 521*b7425 + 0.224124*b7425^2 + 0.1819795*b7425*b7426
     + 554*b7426 + 0.3639595*b7426^2 + 0.2205525*b7426*b7427 + 352*b7427 + 
    0.441105*b7427^2 + 0.064641*b7427*b7428 + 502*b7428 + 0.1292825*b7428^2 + 
    0.169456*b7428*b7429 + 517*b7429 + 0.338912*b7429^2 + 0.04453625*b7429*
    b7430 + 488*b7430 + 0.0890725*b7430^2 + 0.2336805*b7430*b7431 + 238*b7431
     + 0.4673605*b7431^2 + 0.158783*b7431*b7432 + 609*b7432 + 0.3175655*b7432^2
     + 0.141061*b7432*b7433 + 881*b7433 + 0.282122*b7433^2 + 0.0185019*b7433*
    b7434 + 855*b7434 + 0.03700385*b7434^2 + 0.0831705*b7434*b7435 + 534*b7435
     + 0.1663405*b7435^2 + 0.025549*b7435*b7436 + 36*b7436 + 0.051098*b7436*
    b7436 + 0.121743*b7436*b7437 + 265*b7437 + 0.243486*b7437^2 + 0.2068965*
    b7437*b7438 + 243*b7438 + 0.4137935*b7438^2 + 0.1027835*b7438*b7439 + 456*
    b7439 + 0.2055665*b7439^2 + 0.0838225*b7439*b7440 + 388*b7440 + 0.167645*
    b7440^2 + 0.1218545*b7440*b7441 + 573*b7441 + 0.243709*b7441^2 + 0.151708*
    b7441*b7442 + 479*b7442 + 0.3034155*b7442*b7442 + 0.095138*b7442*b7443 + 
    233*b7443 + 0.190276*b7443^2 + 0.147603*b7443*b7444 + 432*b7444 + 0.2952065
    *b7444^2 + 0.155621*b7444*b7445 + 655*b7445 + 0.3112415*b7445^2 + 0.0552145
    *b7445*b7446 + 232*b7446 + 0.1104295*b7446^2 + 0.1398805*b7446*b7447 + 778*
    b7447 + 0.279761*b7447*b7447 + 0.1284105*b7447*b7448 + 79*b7448 + 0.256821*
    b7448^2 + 0.112924*b7448*b7449 + 226*b7449 + 0.225848*b7449^2 + 0.059559*
    b7449*b7450 + 495*b7450 + 0.1191175*b7450^2 + 0.1024865*b7450*b7451 + 444*
    b7451 + 0.2049725*b7451^2 + 0.193018*b7451*b7452 + 716*b7452 + 0.386036*
    b7452^2 + 0.1344955*b7452*b7453 + 541*b7453 + 0.268991*b7453*b7453 + 
    0.0888045*b7453*b7454 + 218*b7454 + 0.177609*b7454^2 + 0.03220275*b7454*
    b7455 + 445*b7455 + 0.0644055*b7455^2 + 0.2283605*b7455*b7456 + 413*b7456
     + 0.456721*b7456^2 + 0.2081555*b7456*b7457 + 426*b7457 + 0.4163105*b7457^2
     + 0.082245*b7457*b7458 + 500*b7458 + 0.16449*b7458^2 + 0.03788625*b7458*
    b7459 + 888*b7459 + 0.0757725*b7459*b7459 + 0.172554*b7459*b7460 + 271*
    b7460 + 0.3451075*b7460^2 + 0.00513735*b7460*b7461 + 389*b7461 + 0.01027475
    *b7461^2 + 0.034589*b7461*b7462 + 827*b7462 + 0.069178*b7462^2 + 0.1033615*
    b7462*b7463 + 917*b7463 + 0.206723*b7463^2 + 0.1774785*b7463*b7464 + 731*
    b7464 + 0.3549575*b7464^2 + 0.1877945*b7464*b7465 + 559*b7465 + 0.375589*
    b7465*b7465 + 0.231815*b7465*b7466 + 785*b7466 + 0.4636295*b7466^2 + 
    0.0677295*b7466*b7467 + 442*b7467 + 0.135459*b7467^2 + 0.063097*b7467*b7468
     + 840*b7468 + 0.1261945*b7468^2 + 0.1281975*b7468*b7469 + 536*b7469 + 
    0.2563955*b7469^2 + 0.2017795*b7469*b7470 + 553*b7470 + 0.403559*b7470^2 + 
    0.178299*b7470*b7471 + 584*b7471 + 0.3565975*b7471*b7471 + 0.018204*b7471*
    b7472 + 453*b7472 + 0.03640795*b7472^2 + 0.147035*b7472*b7473 + 720*b7473
     + 0.29407*b7473^2 + 0.2044125*b7473*b7474 + 363*b7474 + 0.408825*b7474^2
     + 0.156931*b7474*b7475 + 284*b7475 + 0.313862*b7475^2 + 0.041222*b7475*
    b7476 + 697*b7476 + 0.082444*b7476^2 + 0.03260725*b7476*b7477 + 758*b7477
     + 0.0652145*b7477^2 + 0.2296515*b7477*b7478 + 1424*b7478 + 0.459303*b7478^
    2 + 0.2090205*b7478*b7479 + 465*b7479 + 0.418041*b7479^2 + 0.151263*b7479*
    b7480 + 1324*b7480 + 0.302526*b7480^2 + 0.1695905*b7480*b7481 + 734*b7481
     + 0.339181*b7481^2 + 0.2456535*b7481*b7482 + 244*b7482 + 0.491307*b7482*
    b7482 + 0.141118*b7482*b7483 + 532*b7483 + 0.282236*b7483^2 + 0.04117675*
    b7483*b7484 + 560*b7484 + 0.0823535*b7484^2 + 0.176025*b7484*b7485 + 757*
    b7485 + 0.3520505*b7485^2 + 0.2319015*b7485*b7486 + 397*b7486 + 0.463803*
    b7486^2 + 0.0705845*b7486*b7487 + 545*b7487 + 0.141169*b7487^2 + 0.04075025
    *b7487*b7488 + 509*b7488 + 0.0815005*b7488^2 + 0.1473705*b7488*b7489 + 445*
    b7489 + 0.2947405*b7489^2 + 0.0783115*b7489*b7490 + 1088*b7490 + 0.1566235*
    b7490^2 + 0.04513575*b7490*b7491 + 239*b7491 + 0.0902715*b7491^2 + 
    0.0817735*b7491*b7492 + 269*b7492 + 0.163547*b7492^2 + 0.1716855*b7492*
    b7493 + 514*b7493 + 0.3433705*b7493^2 + 0.135839*b7493*b7494 + 1169*b7494
     + 0.2716775*b7494^2 + 0.1466465*b7494*b7495 + 712*b7495 + 0.2932925*b7495^
    2 + 0.1833595*b7495*b7496 + 445*b7496 + 0.3667195*b7496^2 + 0.2042355*b7496
    *b7497 + 373*b7497 + 0.408471*b7497^2 + 0.0960875*b7497*b7498 + 664*b7498
     + 0.192175*b7498^2 + 0.1378315*b7498*b7499 + 404*b7499 + 0.275663*b7499^2
     + 0.04430875*b7499*b7500 + 450*b7500 + 0.0886175*b7500^2 + 0.0654255*b7500
    *b7501 + 687*b7501 + 0.1308505*b7501^2 + 0.188768*b7501*b7502 + 430*b7502
     + 0.377536*b7502^2 + 0.1465*b7502*b7503 + 449*b7503 + 0.2929995*b7503^2 + 
    0.2070065*b7503*b7504 + 752*b7504 + 0.4140135*b7504^2 + 0.1089655*b7504*
    b7505 + 257*b7505 + 0.217931*b7505^2 + 0.143075*b7505*b7506 + 64*b7506 + 
    0.2861495*b7506*b7506 + 0.120612*b7506*b7507 + 475*b7507 + 0.2412235*b7507^
    2 + 0.02545775*b7507*b7508 + 858*b7508 + 0.0509155*b7508^2 + 0.157922*b7508
    *b7509 + 248*b7509 + 0.3158445*b7509^2 + 0.0946275*b7509*b7510 + 663*b7510
     + 0.1892555*b7510^2 + 0.16606*b7510*b7511 + 388*b7511 + 0.3321195*b7511^2
     + 0.039211*b7511*b7512 + 373*b7512 + 0.078422*b7512*b7512 + 0.1644665*
    b7512*b7513 + 688*b7513 + 0.3289335*b7513^2 + 0.099198*b7513*b7514 + 374*
    b7514 + 0.198396*b7514^2 + 0.0345695*b7514*b7515 + 496*b7515 + 0.069139*
    b7515^2 + 0.1920205*b7515*b7516 + 381*b7516 + 0.3840405*b7516^2 + 
    0.03745125*b7516*b7517 + 556*b7517 + 0.0749025*b7517^2 + 0.1765705*b7517*
    b7518 + 572*b7518 + 0.353141*b7518*b7518 + 0.2446415*b7518*b7519 + 436*
    b7519 + 0.489283*b7519^2 + 0.2117125*b7519*b7520 + 473*b7520 + 0.423425*
    b7520^2 + 0.052793*b7520*b7521 + 778*b7521 + 0.1055865*b7521^2 + 0.064234*
    b7521*b7522 + 822*b7522 + 0.128468*b7522^2 + 0.186346*b7522*b7523 + 527*
    b7523 + 0.372692*b7523^2 + 0.00400525*b7523*b7524 + 224*b7524 + 0.0080105*
    b7524^2 + 0.12845*b7524*b7525 + 520*b7525 + 0.2569*b7525^2 + 0.2160985*
    b7525*b7526 + 394*b7526 + 0.432197*b7526^2 + 0.003254725*b7526*b7527 + 886*
    b7527 + 0.00650945*b7527^2 + 0.22059*b7527*b7528 + 573*b7528 + 0.44118*
    b7528^2 + 0.133906*b7528*b7529 + 543*b7529 + 0.267812*b7529^2 + 0.106403*
    b7529*b7530 + 451*b7530 + 0.212806*b7530^2 + 0.1751675*b7530*b7531 + 754*
    b7531 + 0.350335*b7531^2 + 0.051959*b7531*b7532 + 396*b7532 + 0.1039185*
    b7532^2 + 0.09462*b7532*b7533 + 269*b7533 + 0.1892395*b7533^2 + 0.201488*
    b7533*b7534 + 57*b7534 + 0.402976*b7534*b7534 + 0.1696855*b7534*b7535 + 229
    *b7535 + 0.339371*b7535^2 + 0.03029675*b7535*b7536 + 1099*b7536 + 0.0605935
    *b7536^2 + 0.213436*b7536*b7537 + 305*b7537 + 0.426872*b7537^2 + 0.1995895*
    b7537*b7538 + 63*b7538 + 0.399179*b7538^2 + 0.0749255*b7538*b7539 + 629*
    b7539 + 0.1498515*b7539^2 + 0.01175425*b7539*b7540 + 540*b7540 + 0.0235085*
    b7540^2 + 0.05403*b7540*b7541 + 413*b7541 + 0.10806*b7541^2 + 0.240203*
    b7541*b7542 + 200*b7542 + 0.480406*b7542^2 + 0.03406775*b7542*b7543 + 460*
    b7543 + 0.0681355*b7543^2 + 0.0285865*b7543*b7544 + 439*b7544 + 0.057173*
    b7544^2 + 0.138401*b7544*b7545 + 438*b7545 + 0.276802*b7545^2 + 0.2384515*
    b7545*b7546 + 523*b7546 + 0.4769025*b7546^2 + 0.1319675*b7546*b7547 + 790*
    b7547 + 0.2639345*b7547^2 + 0.04529275*b7547*b7548 + 339*b7548 + 0.0905855*
    b7548^2 + 0.1536755*b7548*b7549 + 209*b7549 + 0.3073515*b7549^2 + 0.24036*
    b7549*b7550 + 541*b7550 + 0.4807205*b7550^2 + 0.068619*b7550*b7551 + 241*
    b7551 + 0.137238*b7551*b7551 + 0.2119535*b7551*b7552 + 426*b7552 + 
    0.4239065*b7552^2 + 0.106653*b7552*b7553 + 818*b7553 + 0.2133055*b7553^2 + 
    0.2434545*b7553*b7554 + 471*b7554 + 0.4869095*b7554^2 + 0.1233155*b7554*
    b7555 + 676*b7555 + 0.2466305*b7555^2 + 0.0632145*b7555*b7556 + 428*b7556
     + 0.126429*b7556^2 + 0.124812*b7556*b7557 + 535*b7557 + 0.2496245*b7557*
    b7557 + 0.1672425*b7557*b7558 + 909*b7558 + 0.3344855*b7558^2 + 0.21978*
    b7558*b7559 + 778*b7559 + 0.43956*b7559^2 + 0.1128435*b7559*b7560 + 441*
    b7560 + 0.225687*b7560^2 + 0.0905065*b7560*b7561 + 242*b7561 + 0.1810135*
    b7561^2 + 0.071988*b7561*b7562 + 897*b7562 + 0.143976*b7562^2 + 0.190998*
    b7562*b7563 + 430*b7563 + 0.381996*b7563*b7563 + 0.1276665*b7563*b7564 + 
    380*b7564 + 0.2553325*b7564^2 + 0.139*b7564*b7565 + 1111*b7565 + 0.2779995*
    b7565^2 + 0.2168015*b7565*b7566 + 426*b7566 + 0.433603*b7566^2 + 0.181139*
    b7566*b7567 + 541*b7567 + 0.362278*b7567^2 + 0.20592*b7567*b7568 + 778*
    b7568 + 0.41184*b7568*b7568 + 0.2242765*b7568*b7569 + 671*b7569 + 0.448553*
    b7569^2 + 0.1821375*b7569*b7570 + 1540*b7570 + 0.364275*b7570^2 + 0.2191605
    *b7570*b7571 + 447*b7571 + 0.4383215*b7571^2 + 0.04460075*b7571*b7572 + 337
    *b7572 + 0.0892015*b7572^2 + 0.04276375*b7572*b7573 + 432*b7573 + 0.0855275
    *b7573^2 + 0.230307*b7573*b7574 + 409*b7574 + 0.460614*b7574^2 + 0.145891*
    b7574*b7575 + 571*b7575 + 0.2917815*b7575^2 + 0.1838905*b7575*b7576 + 383*
    b7576 + 0.367781*b7576^2 + 0.159496*b7576*b7577 + 813*b7577 + 0.318992*
    b7577^2 + 0.0937755*b7577*b7578 + 824*b7578 + 0.1875505*b7578^2 + 0.21132*
    b7578*b7579 + 623*b7579 + 0.4226405*b7579^2 + 0.0519375*b7579*b7580 + 405*
    b7580 + 0.1038755*b7580^2 + 0.0933625*b7580*b7581 + 330*b7581 + 0.1867255*
    b7581^2 + 0.0393765*b7581*b7582 + 398*b7582 + 0.078753*b7582^2 + 0.01956965
    *b7582*b7583 + 658*b7583 + 0.03913925*b7583^2 + 0.065564*b7583*b7584 + 693*
    b7584 + 0.131128*b7584^2 + 0.00366095*b7584*b7585 + 640*b7585 + 0.0073219*
    b7585^2 + 0.062346*b7585*b7586 + 997*b7586 + 0.124692*b7586*b7586 + 
    0.173748*b7586*b7587 + 773*b7587 + 0.3474965*b7587^2 + 0.2236575*b7587*
    b7588 + 433*b7588 + 0.447315*b7588^2 + 0.05274*b7588*b7589 + 577*b7589 + 
    0.1054795*b7589^2 + 0.078844*b7589*b7590 + 439*b7590 + 0.1576875*b7590^2 + 
    0.0570605*b7590*b7591 + 250*b7591 + 0.114121*b7591^2 + 0.199581*b7591*b7592
     + 541*b7592 + 0.399162*b7592*b7592 + 0.132362*b7592*b7593 + 380*b7593 + 
    0.2647235*b7593^2 + 0.232611*b7593*b7594 + 383*b7594 + 0.4652215*b7594^2 + 
    0.226065*b7594*b7595 + 440*b7595 + 0.4521295*b7595^2 + 0.03579625*b7595*
    b7596 + 884*b7596 + 0.0715925*b7596^2 + 0.2492925*b7596*b7597 + 408*b7597
     + 0.498585*b7597^2 + 0.0207209*b7597*b7598 + 237*b7598 + 0.0414418*b7598*
    b7598 + 0.0812615*b7598*b7599 + 407*b7599 + 0.162523*b7599^2 + 0.2020395*
    b7599*b7600 + 422*b7600 + 0.4040795*b7600^2 + 0.159173*b7600*b7601 + 828*
    b7601 + 0.3183465*b7601^2 + 0.086732*b7601*b7602 + 723*b7602 + 0.173464*
    b7602^2 + 0.03385075*b7602*b7603 + 485*b7603 + 0.0677015*b7603^2 + 0.218491
    *b7603*b7604 + 706*b7604 + 0.436982*b7604*b7604 + 0.108357*b7604*b7605 + 
    513*b7605 + 0.2167135*b7605^2 + 0.045753*b7605*b7606 + 735*b7606 + 0.091506
    *b7606^2 + 0.1915305*b7606*b7607 + 429*b7607 + 0.3830615*b7607^2 + 0.206221
    *b7607*b7608 + 530*b7608 + 0.4124415*b7608^2 + 0.157658*b7608*b7609 + 424*
    b7609 + 0.3153155*b7609^2 + 0.0716745*b7609*b7610 + 402*b7610 + 0.1433495*
    b7610^2 + 0.105139*b7610*b7611 + 701*b7611 + 0.210278*b7611^2 + 0.0224816*
    b7611*b7612 + 537*b7612 + 0.0449632*b7612^2 + 0.02588475*b7612*b7613 + 487*
    b7613 + 0.0517695*b7613^2 + 0.221012*b7613*b7614 + 552*b7614 + 0.4420235*
    b7614^2 + 0.1505955*b7614*b7615 + 716*b7615 + 0.3011905*b7615^2 + 0.0919105
    *b7615*b7616 + 414*b7616 + 0.183821*b7616*b7616 + 0.0441475*b7616*b7617 + 
    541*b7617 + 0.088295*b7617^2 + 0.0222436*b7617*b7618 + 431*b7618 + 
    0.04448725*b7618^2 + 0.04245*b7618*b7619 + 594*b7619 + 0.0849*b7619^2 + 
    0.119403*b7619*b7620 + 681*b7620 + 0.238806*b7620^2 + 0.237011*b7620*b7621
     + 409*b7621 + 0.474022*b7621^2 + 0.03828175*b7621*b7622 + 670*b7622 + 
    0.0765635*b7622^2 + 0.200063*b7622*b7623 + 38*b7623 + 0.4001255*b7623^2 + 
    0.1485065*b7623*b7624 + 591*b7624 + 0.2970135*b7624^2 + 0.2060715*b7624*
    b7625 + 221*b7625 + 0.4121425*b7625^2 + 0.04238125*b7625*b7626 + 548*b7626
     + 0.0847625*b7626^2 + 0.207122*b7626*b7627 + 699*b7627 + 0.414244*b7627*
    b7627 + 0.118294*b7627*b7628 + 384*b7628 + 0.2365875*b7628^2 + 0.1614685*
    b7628*b7629 + 526*b7629 + 0.3229365*b7629^2 + 0.1576615*b7629*b7630 + 427*
    b7630 + 0.3153235*b7630^2 + 0.2282365*b7630*b7631 + 448*b7631 + 0.4564735*
    b7631^2 + 0.2496535*b7631*b7632 + 275*b7632 + 0.499307*b7632^2 + 0.1535355*
    b7632*b7633 + 621*b7633 + 0.3070705*b7633*b7633 + 0.2429385*b7633*b7634 + 
    232*b7634 + 0.485877*b7634^2 + 0.045124*b7634*b7635 + 680*b7635 + 0.090248*
    b7635^2 + 0.170743*b7635*b7636 + 466*b7636 + 0.341486*b7636^2 + 0.174174*
    b7636*b7637 + 439*b7637 + 0.348348*b7637^2 + 0.179314*b7637*b7638 + 429*
    b7638 + 0.358628*b7638^2 + 0.159877*b7638*b7639 + 798*b7639 + 0.3197545*
    b7639^2 + 0.1587045*b7639*b7640 + 771*b7640 + 0.317409*b7640^2 + 0.057713*
    b7640*b7641 + 609*b7641 + 0.1154255*b7641^2 + 0.01744825*b7641*b7642 + 708*
    b7642 + 0.0348965*b7642^2 + 0.1664415*b7642*b7643 + 436*b7643 + 0.3328825*
    b7643^2 + 0.030464*b7643*b7644 + 397*b7644 + 0.060928*b7644*b7644 + 
    0.177691*b7644*b7645 + 511*b7645 + 0.3553825*b7645^2 + 0.01279855*b7645*
    b7646 + 349*b7646 + 0.0255971*b7646^2 + 0.04631325*b7646*b7647 + 597*b7647
     + 0.0926265*b7647^2 + 0.0538325*b7647*b7648 + 695*b7648 + 0.107665*b7648^2
     + 0.1718975*b7648*b7649 + 486*b7649 + 0.3437945*b7649^2 + 0.20419*b7649*
    b7650 + 929*b7650 + 0.4083805*b7650*b7650 + 0.115589*b7650*b7651 + 463*
    b7651 + 0.231178*b7651^2 + 0.123099*b7651*b7652 + 622*b7652 + 0.246198*
    b7652^2 + 0.0768235*b7652*b7653 + 793*b7653 + 0.1536475*b7653^2 + 0.209672*
    b7653*b7654 + 708*b7654 + 0.419344*b7654^2 + 0.0511815*b7654*b7655 + 203*
    b7655 + 0.102363*b7655*b7655 + 0.187076*b7655*b7656 + 411*b7656 + 0.3741515
    *b7656^2 + 0.189006*b7656*b7657 + 562*b7657 + 0.378012*b7657^2 + 0.157225*
    b7657*b7658 + 472*b7658 + 0.31445*b7658^2 + 0.03855375*b7658*b7659 + 698*
    b7659 + 0.0771075*b7659^2 + 0.232313*b7659*b7660 + 462*b7660 + 0.4646255*
    b7660^2 + 0.0929135*b7660*b7661 + 408*b7661 + 0.1858265*b7661^2 + 0.0445055
    *b7661*b7662 + 741*b7662 + 0.089011*b7662^2 + 0.04564625*b7662*b7663 + 1130
    *b7663 + 0.0912925*b7663^2 + 0.0194578*b7663*b7664 + 517*b7664 + 0.03891555
    *b7664^2 + 0.222478*b7664*b7665 + 1021*b7665 + 0.4449555*b7665^2 + 0.16528*
    b7665*b7666 + 908*b7666 + 0.3305605*b7666^2 + 0.055739*b7666*b7667 + 357*
    b7667 + 0.111478*b7667*b7667 + 0.078841*b7667*b7668 + 547*b7668 + 0.1576815
    *b7668^2 + 0.138092*b7668*b7669 + 958*b7669 + 0.2761845*b7669^2 + 0.185849*
    b7669*b7670 + 567*b7670 + 0.371698*b7670^2 + 0.0747245*b7670*b7671 + 438*
    b7671 + 0.1494485*b7671^2 + 0.196702*b7671*b7672 + 424*b7672 + 0.3934045*
    b7672^2 + 0.243131*b7672*b7673 + 252*b7673 + 0.4862625*b7673*b7673 + 
    0.051895*b7673*b7674 + 440*b7674 + 0.10379*b7674^2 + 0.1101725*b7674*b7675
     + 767*b7675 + 0.2203455*b7675^2 + 0.2466345*b7675*b7676 + 785*b7676 + 
    0.493269*b7676^2 + 0.0175297*b7676*b7677 + 37*b7677 + 0.03505945*b7677^2 + 
    0.087478*b7677*b7678 + 804*b7678 + 0.1749565*b7678^2 + 0.065767*b7678*b7679
     + 409*b7679 + 0.1315345*b7679*b7679 + 0.045178*b7679*b7680 + 621*b7680 + 
    0.090356*b7680^2 + 0.239418*b7680*b7681 + 885*b7681 + 0.4788355*b7681^2 + 
    0.1571685*b7681*b7682 + 801*b7682 + 0.3143375*b7682^2 + 0.071833*b7682*
    b7683 + 493*b7683 + 0.1436655*b7683^2 + 0.209395*b7683*b7684 + 489*b7684 + 
    0.41879*b7684^2 + 0.1200035*b7684*b7685 + 205*b7685 + 0.240007*b7685^2 + 
    0.20085*b7685*b7686 + 230*b7686 + 0.4017*b7686^2 + 0.0303225*b7686*b7687 + 
    559*b7687 + 0.060645*b7687^2 + 0.1663545*b7687*b7688 + 491*b7688 + 
    0.3327085*b7688^2 + 0.1568295*b7688*b7689 + 839*b7689 + 0.3136595*b7689^2
     + 0.0137477*b7689*b7690 + 455*b7690 + 0.0274954*b7690^2 + 0.1392685*b7690*
    b7691 + 320*b7691 + 0.278537*b7691^2 + 0.09939*b7691*b7692 + 432*b7692 + 
    0.19878*b7692^2 + 0.010362*b7692*b7693 + 589*b7693 + 0.02072395*b7693^2 + 
    0.0646825*b7693*b7694 + 748*b7694 + 0.129365*b7694^2 + 0.07088*b7694*b7695
     + 288*b7695 + 0.14176*b7695^2 + 0.2141675*b7695*b7696 + 214*b7696 + 
    0.4283345*b7696^2 + 0.242806*b7696*b7697 + 537*b7697 + 0.485612*b7697^2 + 
    0.083596*b7697*b7698 + 625*b7698 + 0.1671925*b7698^2 + 0.08107*b7698*b7699
     + 628*b7699 + 0.16214*b7699^2 + 0.142194*b7699*b7700 + 833*b7700 + 
    0.2843875*b7700^2 + 0.087551*b7700*b7701 + 578*b7701 + 0.1751025*b7701^2 + 
    0.0616945*b7701*b7702 + 820*b7702 + 0.123389*b7702^2 + 0.2326595*b7702*
    b7703 + 446*b7703 + 0.465319*b7703^2 + 0.1186035*b7703*b7704 + 576*b7704 + 
    0.2372075*b7704^2 + 0.111747*b7704*b7705 + 468*b7705 + 0.223494*b7705^2 + 
    0.04421425*b7705*b7706 + 1061*b7706 + 0.0884285*b7706^2 + 0.226636*b7706*
    b7707 + 893*b7707 + 0.453272*b7707^2 + 0.1810565*b7707*b7708 + 411*b7708 + 
    0.362113*b7708^2 + 0.0507655*b7708*b7709 + 480*b7709 + 0.101531*b7709^2 + 
    0.071412*b7709*b7710 + 441*b7710 + 0.1428245*b7710^2 + 0.2161645*b7710*
    b7711 + 240*b7711 + 0.4323285*b7711^2 + 0.1794185*b7711*b7712 + 212*b7712
     + 0.3588375*b7712^2 + 0.2254605*b7712*b7713 + 235*b7713 + 0.450921*b7713^2
     + 0.1788195*b7713*b7714 + 399*b7714 + 0.357639*b7714^2 + 0.208081*b7714*
    b7715 + 377*b7715 + 0.416162*b7715^2 + 0.100458*b7715*b7716 + 884*b7716 + 
    0.200916*b7716^2 + 0.2451145*b7716*b7717 + 860*b7717 + 0.490229*b7717^2 + 
    0.0245326*b7717*b7718 + 415*b7718 + 0.0490652*b7718*b7718 + 0.0839675*b7718
    *b7719 + 261*b7719 + 0.1679355*b7719^2 + 0.00852965*b7719*b7720 + 1131*
    b7720 + 0.01705925*b7720^2 + 0.2165255*b7720*b7721 + 460*b7721 + 0.433051*
    b7721^2 + 0.1057625*b7721*b7722 + 375*b7722 + 0.211525*b7722^2 + 0.1725175*
    b7722*b7723 + 507*b7723 + 0.3450355*b7723^2 + 0.00155402*b7723*b7724 + 214*
    b7724 + 0.003108045*b7724^2 + 0.2326305*b7724*b7725 + 581*b7725 + 0.465261*
    b7725^2 + 0.2362865*b7725*b7726 + 268*b7726 + 0.4725735*b7726^2 + 
    0.01720175*b7726*b7727 + 740*b7727 + 0.03440345*b7727^2 + 0.154823*b7727*
    b7728 + 411*b7728 + 0.3096455*b7728^2 + 0.083167*b7728*b7729 + 391*b7729 + 
    0.1663345*b7729^2 + 0.0170182*b7729*b7730 + 1061*b7730 + 0.0340364*b7730^2
     + 0.02092555*b7730*b7731 + 798*b7731 + 0.04185105*b7731^2 + 0.099931*b7731
    *b7732 + 504*b7732 + 0.1998625*b7732^2 + 0.1376335*b7732*b7733 + 442*b7733
     + 0.2752675*b7733^2 + 0.0185357*b7733*b7734 + 839*b7734 + 0.0370714*b7734^
    2 + 0.2396785*b7734*b7735 + 440*b7735 + 0.4793565*b7735^2 + 0.0225558*b7735
    *b7736 + 306*b7736 + 0.0451116*b7736^2 + 0.093461*b7736*b7737 + 469*b7737
     + 0.186922*b7737^2 + 0.235829*b7737*b7738 + 843*b7738 + 0.4716575*b7738^2
     + 0.142358*b7738*b7739 + 62*b7739 + 0.2847165*b7739^2 + 0.124675*b7739*
    b7740 + 517*b7740 + 0.24935*b7740^2 + 0.2146205*b7740*b7741 + 477*b7741 + 
    0.4292415*b7741^2 + 0.0208264*b7741*b7742 + 390*b7742 + 0.04165275*b7742^2
     + 0.1158905*b7742*b7743 + 36*b7743 + 0.231781*b7743^2 + 0.228558*b7743*
    b7744 + 921*b7744 + 0.457116*b7744^2 + 0.0979735*b7744*b7745 + 1205*b7745
     + 0.195947*b7745^2 + 0.228418*b7745*b7746 + 676*b7746 + 0.456836*b7746^2
     + 0.0868825*b7746*b7747 + 627*b7747 + 0.1737655*b7747^2 + 0.105319*b7747*
    b7748 + 735*b7748 + 0.2106375*b7748*b7748 + 0.240885*b7748*b7749 + 533*
    b7749 + 0.4817705*b7749^2 + 0.04894625*b7749*b7750 + 201*b7750 + 0.0978925*
    b7750^2 + 0.0112138*b7750*b7751 + 541*b7751 + 0.0224276*b7751^2 + 0.2303715
    *b7751*b7752 + 446*b7752 + 0.4607435*b7752^2 + 0.0954155*b7752*b7753 + 833*
    b7753 + 0.1908315*b7753^2 + 0.0734895*b7753*b7754 + 799*b7754 + 0.1469785*
    b7754^2 + 0.063343*b7754*b7755 + 670*b7755 + 0.1266855*b7755^2 + 0.070132*
    b7755*b7756 + 599*b7756 + 0.1402635*b7756^2 + 0.1829255*b7756*b7757 + 232*
    b7757 + 0.365851*b7757^2 + 0.1398095*b7757*b7758 + 725*b7758 + 0.279619*
    b7758^2 + 0.080922*b7758*b7759 + 814*b7759 + 0.1618435*b7759^2 + 0.096136*
    b7759*b7760 + 576*b7760 + 0.192272*b7760*b7760 + 0.18671*b7760*b7761 + 513*
    b7761 + 0.3734205*b7761^2 + 0.2305785*b7761*b7762 + 461*b7762 + 0.4611575*
    b7762^2 + 0.202527*b7762*b7763 + 703*b7763 + 0.4050535*b7763^2 + 0.0882215*
    b7763*b7764 + 289*b7764 + 0.1764425*b7764^2 + 0.2474235*b7764*b7765 + 424*
    b7765 + 0.4948475*b7765^2 + 0.2400765*b7765*b7766 + 528*b7766 + 0.480153*
    b7766*b7766 + 0.01246115*b7766*b7767 + 284*b7767 + 0.02492235*b7767^2 + 
    0.2319785*b7767*b7768 + 767*b7768 + 0.463957*b7768^2 + 0.02423575*b7768*
    b7769 + 842*b7769 + 0.0484715*b7769^2 + 0.0105694*b7769*b7770 + 419*b7770
     + 0.0211388*b7770^2 + 0.1927495*b7770*b7771 + 904*b7771 + 0.3854985*b7771^
    2 + 0.0635545*b7771*b7772 + 757*b7772 + 0.1271085*b7772^2 + 0.200145*b7772*
    b7773 + 412*b7773 + 0.4002905*b7773^2 + 0.2267105*b7773*b7774 + 53*b7774 + 
    0.4534215*b7774^2 + 0.1841905*b7774*b7775 + 549*b7775 + 0.3683815*b7775^2
     + 0.0900055*b7775*b7776 + 211*b7776 + 0.180011*b7776^2 + 0.00859565*b7776*
    b7777 + 310*b7777 + 0.0171913*b7777^2 + 0.063102*b7777*b7778 + 451*b7778 + 
    0.1262045*b7778*b7778 + 0.053413*b7778*b7779 + 416*b7779 + 0.106826*b7779^2
     + 0.028698*b7779*b7780 + 639*b7780 + 0.057396*b7780^2 + 0.179996*b7780*
    b7781 + 427*b7781 + 0.359992*b7781^2 + 0.1963595*b7781*b7782 + 691*b7782 + 
    0.392719*b7782^2 + 0.226909*b7782*b7783 + 714*b7783 + 0.453818*b7783^2 + 
    0.04282975*b7783*b7784 + 686*b7784 + 0.0856595*b7784^2 + 0.0817425*b7784*
    b7785 + 538*b7785 + 0.163485*b7785^2 + 0.2301345*b7785*b7786 + 513*b7786 + 
    0.4602685*b7786^2 + 0.201227*b7786*b7787 + 462*b7787 + 0.4024545*b7787^2 + 
    0.102199*b7787*b7788 + 486*b7788 + 0.204398*b7788^2 + 0.071007*b7788*b7789
     + 681*b7789 + 0.1420145*b7789*b7789 + 0.032648*b7789*b7790 + 753*b7790 + 
    0.065296*b7790^2 + 0.2479475*b7790*b7791 + 382*b7791 + 0.4958955*b7791^2 + 
    0.2412635*b7791*b7792 + 449*b7792 + 0.4825265*b7792^2 + 0.1201535*b7792*
    b7793 + 536*b7793 + 0.240307*b7793^2 + 0.226954*b7793*b7794 + 391*b7794 + 
    0.4539075*b7794^2 + 0.232932*b7794*b7795 + 460*b7795 + 0.465864*b7795*b7795
     + 0.0034621*b7795*b7796 + 241*b7796 + 0.0069242*b7796^2 + 0.168977*b7796*
    b7797 + 693*b7797 + 0.3379545*b7797^2 + 0.1613675*b7797*b7798 + 455*b7798
     + 0.322735*b7798^2 + 0.053548*b7798*b7799 + 292*b7799 + 0.107096*b7799^2
     + 0.1647245*b7799*b7800 + 589*b7800 + 0.329449*b7800^2 + 0.1932775*b7800*
    b7801 + 591*b7801 + 0.3865545*b7801*b7801 + 0.139304*b7801*b7802 + 436*
    b7802 + 0.278608*b7802^2 + 0.0442885*b7802*b7803 + 212*b7803 + 0.088577*
    b7803^2 + 0.1296255*b7803*b7804 + 1562*b7804 + 0.259251*b7804^2 + 0.1410975
    *b7804*b7805 + 1025*b7805 + 0.2821945*b7805^2 + 0.000645585*b7805*b7806 + 
    284*b7806 + 0.00129117*b7806^2 + 0.139395*b7806*b7807 + 546*b7807 + 0.27879
    *b7807*b7807 + 0.2273045*b7807*b7808 + 1943*b7808 + 0.4546085*b7808^2 + 
    0.0605885*b7808*b7809 + 240*b7809 + 0.121177*b7809^2 + 0.2221415*b7809*
    b7810 + 648*b7810 + 0.4442825*b7810^2 + 0.050763*b7810*b7811 + 542*b7811 + 
    0.1015255*b7811^2 + 0.1109515*b7811*b7812 + 76*b7812 + 0.221903*b7812^2 + 
    0.0999585*b7812*b7813 + 935*b7813 + 0.199917*b7813*b7813 + 0.067061*b7813*
    b7814 + 518*b7814 + 0.134122*b7814^2 + 0.0999255*b7814*b7815 + 726*b7815 + 
    0.199851*b7815^2 + 0.09826*b7815*b7816 + 495*b7816 + 0.1965205*b7816^2 + 
    0.05096*b7816*b7817 + 999*b7817 + 0.10192*b7817^2 + 0.1054435*b7817*b7818
     + 86*b7818 + 0.210887*b7818^2 + 0.0747465*b7818*b7819 + 446*b7819 + 
    0.149493*b7819^2 + 0.029648*b7819*b7820 + 229*b7820 + 0.059296*b7820^2 + 
    0.1768685*b7820*b7821 + 888*b7821 + 0.3537375*b7821^2 + 0.1357105*b7821*
    b7822 + 333*b7822 + 0.271421*b7822^2 + 0.115836*b7822*b7823 + 725*b7823 + 
    0.231672*b7823^2 + 0.032186*b7823*b7824 + 1092*b7824 + 0.064372*b7824^2 + 
    0.046989*b7824*b7825 + 823*b7825 + 0.093978*b7825^2 + 0.1336355*b7825*b7826
     + 1284*b7826 + 0.2672715*b7826^2 + 0.169753*b7826*b7827 + 458*b7827 + 
    0.3395065*b7827^2 + 0.0241276*b7827*b7828 + 560*b7828 + 0.04825525*b7828^2
     + 0.04620325*b7828*b7829 + 596*b7829 + 0.0924065*b7829^2 + 0.172865*b7829*
    b7830 + 595*b7830 + 0.3457295*b7830^2 + 0.104044*b7830*b7831 + 1290*b7831
     + 0.208088*b7831^2 + 0.1412135*b7831*b7832 + 415*b7832 + 0.282427*b7832^2
     + 0.1120255*b7832*b7833 + 785*b7833 + 0.224051*b7833^2 + 0.136848*b7833*
    b7834 + 1202*b7834 + 0.273696*b7834^2 + 0.1558395*b7834*b7835 + 255*b7835
     + 0.3116785*b7835*b7835 + 0.065284*b7835*b7836 + 499*b7836 + 0.130568*
    b7836^2 + 0.220764*b7836*b7837 + 535*b7837 + 0.4415275*b7837^2 + 0.238467*
    b7837*b7838 + 349*b7838 + 0.4769345*b7838^2 + 0.1041755*b7838*b7839 + 422*
    b7839 + 0.2083515*b7839^2 + 0.2179015*b7839*b7840 + 778*b7840 + 0.435803*
    b7840^2 + 0.2325395*b7840*b7841 + 622*b7841 + 0.465079*b7841*b7841 + 
    0.124738*b7841*b7842 + 399*b7842 + 0.249476*b7842^2 + 0.0893965*b7842*b7843
     + 241*b7843 + 0.1787935*b7843^2 + 0.0954575*b7843*b7844 + 1353*b7844 + 
    0.1909155*b7844^2 + 0.057284*b7844*b7845 + 543*b7845 + 0.1145675*b7845^2 + 
    0.208795*b7845*b7846 + 537*b7846 + 0.41759*b7846^2 + 0.2290425*b7846*b7847
     + 789*b7847 + 0.4580855*b7847*b7847 + 0.196817*b7847*b7848 + 689*b7848 + 
    0.3936335*b7848^2 + 0.235693*b7848*b7849 + 310*b7849 + 0.471386*b7849^2 + 
    0.172027*b7849*b7850 + 1281*b7850 + 0.344054*b7850^2 + 0.154661*b7850*b7851
     + 409*b7851 + 0.3093215*b7851^2 + 0.1090375*b7851*b7852 + 58*b7852 + 
    0.2180745*b7852^2 + 0.078482*b7852*b7853 + 901*b7853 + 0.156964*b7853*b7853
     + 0.058703*b7853*b7854 + 1122*b7854 + 0.117406*b7854^2 + 0.056432*b7854*
    b7855 + 381*b7855 + 0.1128635*b7855^2 + 0.176014*b7855*b7856 + 936*b7856 + 
    0.352028*b7856^2 + 0.1548625*b7856*b7857 + 673*b7857 + 0.309725*b7857^2 + 
    0.223647*b7857*b7858 + 290*b7858 + 0.4472935*b7858^2 + 0.03117025*b7858*
    b7859 + 448*b7859 + 0.0623405*b7859^2 + 0.2042045*b7859*b7860 + 519*b7860
     + 0.4084095*b7860^2 + 0.1374375*b7860*b7861 + 374*b7861 + 0.2748755*b7861^
    2 + 0.2270395*b7861*b7862 + 730*b7862 + 0.454079*b7862^2 + 0.2082365*b7862*
    b7863 + 414*b7863 + 0.4164735*b7863^2 + 0.03435*b7863*b7864 + 1311*b7864 + 
    0.0687*b7864^2 + 0.19039*b7864*b7865 + 700*b7865 + 0.38078*b7865^2 + 
    0.179424*b7865*b7866 + 1432*b7866 + 0.358848*b7866^2 + 0.0857245*b7866*
    b7867 + 520*b7867 + 0.1714485*b7867^2 + 0.0864605*b7867*b7868 + 841*b7868
     + 0.172921*b7868^2 + 0.1227195*b7868*b7869 + 277*b7869 + 0.245439*b7869^2
     + 0.084846*b7869*b7870 + 574*b7870 + 0.1696925*b7870*b7870 + 0.068811*
    b7870*b7871 + 566*b7871 + 0.1376215*b7871^2 + 0.215157*b7871*b7872 + 509*
    b7872 + 0.430314*b7872^2 + 0.2192025*b7872*b7873 + 693*b7873 + 0.438405*
    b7873^2 + 0.240075*b7873*b7874 + 912*b7874 + 0.4801495*b7874^2 + 0.177473*
    b7874*b7875 + 610*b7875 + 0.354946*b7875^2 + 0.1881965*b7875*b7876 + 1023*
    b7876 + 0.376393*b7876*b7876 + 0.1304925*b7876*b7877 + 487*b7877 + 
    0.2609845*b7877^2 + 0.1182455*b7877*b7878 + 501*b7878 + 0.2364915*b7878^2
     + 0.1923575*b7878*b7879 + 254*b7879 + 0.3847155*b7879^2 + 0.135565*b7879*
    b7880 + 743*b7880 + 0.2711295*b7880^2 + 0.0227112*b7880*b7881 + 530*b7881
     + 0.04542235*b7881^2 + 0.1033135*b7881*b7882 + 647*b7882 + 0.206627*b7882^
    2 + 0.1293265*b7882*b7883 + 993*b7883 + 0.2586525*b7883^2 + 0.1512755*b7883
    *b7884 + 676*b7884 + 0.302551*b7884^2 + 0.105848*b7884*b7885 + 733*b7885 + 
    0.211696*b7885^2 + 0.001363105*b7885*b7886 + 778*b7886 + 0.002726205*b7886^
    2 + 0.099203*b7886*b7887 + 260*b7887 + 0.198406*b7887^2 + 0.0676475*b7887*
    b7888 + 297*b7888 + 0.135295*b7888*b7888 + 0.137885*b7888*b7889 + 443*b7889
     + 0.2757695*b7889^2 + 0.040547*b7889*b7890 + 392*b7890 + 0.081094*b7890^2
     + 0.1672215*b7890*b7891 + 514*b7891 + 0.334443*b7891^2 + 0.0905725*b7891*
    b7892 + 330*b7892 + 0.1811445*b7892^2 + 0.052084*b7892*b7893 + 989*b7893 + 
    0.104168*b7893^2 + 0.1271595*b7893*b7894 + 799*b7894 + 0.2543195*b7894*
    b7894 + 0.122341*b7894*b7895 + 287*b7895 + 0.2446825*b7895^2 + 0.143146*
    b7895*b7896 + 226*b7896 + 0.286292*b7896^2 + 0.0069006*b7896*b7897 + 260*
    b7897 + 0.01380125*b7897^2 + 0.082271*b7897*b7898 + 504*b7898 + 0.1645415*
    b7898^2 + 0.2340205*b7898*b7899 + 580*b7899 + 0.468041*b7899^2 + 0.02452515
    *b7899*b7900 + 475*b7900 + 0.0490503*b7900^2 + 0.1085245*b7900*b7901 + 858*
    b7901 + 0.2170485*b7901^2 + 0.109181*b7901*b7902 + 1022*b7902 + 0.218362*
    b7902^2 + 0.0534355*b7902*b7903 + 494*b7903 + 0.106871*b7903^2 + 0.047921*
    b7903*b7904 + 391*b7904 + 0.095842*b7904^2 + 0.155769*b7904*b7905 + 656*
    b7905 + 0.311538*b7905^2 + 0.134778*b7905*b7906 + 387*b7906 + 0.2695565*
    b7906^2 + 0.0861575*b7906*b7907 + 926*b7907 + 0.172315*b7907^2 + 0.1316025*
    b7907*b7908 + 261*b7908 + 0.2632045*b7908^2 + 0.2121835*b7908*b7909 + 335*
    b7909 + 0.424367*b7909^2 + 0.04255325*b7909*b7910 + 727*b7910 + 0.0851065*
    b7910^2 + 0.095699*b7910*b7911 + 203*b7911 + 0.191398*b7911*b7911 + 
    0.1060395*b7911*b7912 + 732*b7912 + 0.2120785*b7912^2 + 0.0764975*b7912*
    b7913 + 612*b7913 + 0.1529945*b7913^2 + 0.18005*b7913*b7914 + 791*b7914 + 
    0.3601*b7914^2 + 0.2097275*b7914*b7915 + 987*b7915 + 0.419455*b7915^2 + 
    0.03053975*b7915*b7916 + 1084*b7916 + 0.0610795*b7916^2 + 0.109053*b7916*
    b7917 + 269*b7917 + 0.218106*b7917^2 + 0.04814025*b7917*b7918 + 666*b7918
     + 0.0962805*b7918^2 + 0.2265535*b7918*b7919 + 373*b7919 + 0.4531075*b7919^
    2 + 0.2192505*b7919*b7920 + 915*b7920 + 0.438501*b7920^2 + 0.1274945*b7920*
    b7921 + 393*b7921 + 0.2549885*b7921^2 + 0.199048*b7921*b7922 + 71*b7922 + 
    0.398096*b7922*b7922 + 0.0999405*b7922*b7923 + 295*b7923 + 0.1998815*b7923^
    2 + 0.0990195*b7923*b7924 + 603*b7924 + 0.198039*b7924^2 + 0.0182769*b7924*
    b7925 + 418*b7925 + 0.0365538*b7925^2 + 0.0094848*b7925*b7926 + 588*b7926
     + 0.0189696*b7926^2 + 0.2458945*b7926*b7927 + 544*b7927 + 0.491789*b7927^2
     + 0.110524*b7927*b7928 + 686*b7928 + 0.221048*b7928*b7928 + 0.096509*b7928
    *b7929 + 443*b7929 + 0.1930175*b7929^2 + 0.1594675*b7929*b7930 + 397*b7930
     + 0.3189345*b7930^2 + 0.037665*b7930*b7931 + 661*b7931 + 0.07533*b7931^2
     + 0.193836*b7931*b7932 + 225*b7932 + 0.3876725*b7932^2 + 0.00852535*b7932*
    b7933 + 443*b7933 + 0.0170507*b7933^2 + 0.246384*b7933*b7934 + 531*b7934 + 
    0.492768*b7934*b7934 + 0.0995*b7934*b7935 + 250*b7935 + 0.199*b7935^2 + 
    0.159674*b7935*b7936 + 343*b7936 + 0.319348*b7936^2 + 0.2236855*b7936*b7937
     + 761*b7937 + 0.4473715*b7937^2 + 0.1757395*b7937*b7938 + 773*b7938 + 
    0.351479*b7938^2 + 0.208763*b7938*b7939 + 1131*b7939 + 0.417526*b7939*b7939
     + 0.108115*b7939*b7940 + 650*b7940 + 0.2162305*b7940^2 + 0.1664105*b7940*
    b7941 + 418*b7941 + 0.3328215*b7941^2 + 0.210906*b7941*b7942 + 550*b7942 + 
    0.4218125*b7942^2 + 0.03285125*b7942*b7943 + 287*b7943 + 0.0657025*b7943^2
     + 0.0964735*b7943*b7944 + 565*b7944 + 0.192947*b7944^2 + 0.151234*b7944*
    b7945 + 250*b7945 + 0.3024675*b7945*b7945 + 0.136642*b7945*b7946 + 294*
    b7946 + 0.2732845*b7946^2 + 0.133962*b7946*b7947 + 628*b7947 + 0.267924*
    b7947^2 + 0.133102*b7947*b7948 + 1910*b7948 + 0.266204*b7948^2 + 0.136362*
    b7948*b7949 + 731*b7949 + 0.272724*b7949^2 + 0.185416*b7949*b7950 + 787*
    b7950 + 0.370832*b7950^2 + 0.132623*b7950*b7951 + 362*b7951 + 0.2652455*
    b7951^2 + 0.178118*b7951*b7952 + 712*b7952 + 0.356236*b7952^2 + 0.0675175*
    b7952*b7953 + 401*b7953 + 0.1350345*b7953^2 + 0.2404465*b7953*b7954 + 1313*
    b7954 + 0.4808935*b7954^2 + 0.1079085*b7954*b7955 + 872*b7955 + 0.2158175*
    b7955^2 + 0.0374575*b7955*b7956 + 528*b7956 + 0.074915*b7956*b7956 + 
    0.186986*b7956*b7957 + 661*b7957 + 0.3739725*b7957^2 + 0.015404*b7957*b7958
     + 519*b7958 + 0.030808*b7958^2 + 0.2279685*b7958*b7959 + 306*b7959 + 
    0.4559365*b7959^2 + 0.150247*b7959*b7960 + 578*b7960 + 0.300494*b7960^2 + 
    0.087444*b7960*b7961 + 439*b7961 + 0.1748875*b7961^2 + 0.0383535*b7961*
    b7962 + 502*b7962 + 0.076707*b7962*b7962 + 0.1362405*b7962*b7963 + 644*
    b7963 + 0.272481*b7963^2 + 0.160256*b7963*b7964 + 1777*b7964 + 0.3205115*
    b7964^2 + 0.24302*b7964*b7965 + 428*b7965 + 0.4860405*b7965^2 + 0.0714255*
    b7965*b7966 + 385*b7966 + 0.142851*b7966^2 + 0.085857*b7966*b7967 + 498*
    b7967 + 0.1717145*b7967^2 + 0.0884305*b7967*b7968 + 858*b7968 + 0.1768605*
    b7968^2 + 0.210578*b7968*b7969 + 502*b7969 + 0.4211555*b7969^2 + 0.02496865
    *b7969*b7970 + 1263*b7970 + 0.0499373*b7970^2 + 0.03225675*b7970*b7971 + 
    779*b7971 + 0.0645135*b7971^2 + 0.102508*b7971*b7972 + 874*b7972 + 
    0.2050165*b7972^2 + 0.02674725*b7972*b7973 + 467*b7973 + 0.0534945*b7973^2
     + 0.1878735*b7973*b7974 + 456*b7974 + 0.375747*b7974*b7974 + 0.02294375*
    b7974*b7975 + 463*b7975 + 0.04588745*b7975^2 + 0.0156217*b7975*b7976 + 415*
    b7976 + 0.0312434*b7976^2 + 0.1570545*b7976*b7977 + 800*b7977 + 0.3141095*
    b7977^2 + 0.0676735*b7977*b7978 + 233*b7978 + 0.1353465*b7978^2 + 0.092224*
    b7978*b7979 + 437*b7979 + 0.1844485*b7979^2 + 0.2378975*b7979*b7980 + 304*
    b7980 + 0.4757945*b7980^2 + 0.2054305*b7980*b7981 + 358*b7981 + 0.4108605*
    b7981^2 + 0.1174075*b7981*b7982 + 230*b7982 + 0.234815*b7982^2 + 0.09725*
    b7982*b7983 + 942*b7983 + 0.1945*b7983^2 + 0.067258*b7983*b7984 + 318*b7984
     + 0.1345155*b7984^2 + 0.102244*b7984*b7985 + 460*b7985 + 0.204488*b7985^2
     + 0.0236608*b7985*b7986 + 596*b7986 + 0.0473216*b7986^2 + 0.229243*b7986*
    b7987 + 756*b7987 + 0.458486*b7987^2 + 0.2015155*b7987*b7988 + 460*b7988 + 
    0.403031*b7988^2 + 0.0151712*b7988*b7989 + 420*b7989 + 0.0303424*b7989^2 + 
    0.0799215*b7989*b7990 + 550*b7990 + 0.159843*b7990^2 + 0.128692*b7990*b7991
     + 245*b7991 + 0.257384*b7991*b7991 + 0.082682*b7991*b7992 + 470*b7992 + 
    0.165364*b7992^2 + 0.2152835*b7992*b7993 + 471*b7993 + 0.4305675*b7993^2 + 
    0.04487275*b7993*b7994 + 887*b7994 + 0.0897455*b7994^2 + 0.060515*b7994*
    b7995 + 570*b7995 + 0.12103*b7995^2 + 0.2230155*b7995*b7996 + 367*b7996 + 
    0.446031*b7996^2 + 0.01259405*b7996*b7997 + 716*b7997 + 0.02518805*b7997^2
     + 0.0311645*b7997*b7998 + 577*b7998 + 0.062329*b7998^2 + 0.2047895*b7998*
    b7999 + 779*b7999 + 0.409579*b7999^2 + 0.0070323*b7999*b8000 + 256*b8000 + 
    0.01406465*b8000^2 + 0.0679585*b8000*b8001 + 444*b8001 + 0.135917*b8001^2
     + 0.1077135*b8001*b8002 + 856*b8002 + 0.215427*b8002^2 + 0.03405075*b8002*
    b8003 + 672*b8003 + 0.0681015*b8003^2 + 0.237226*b8003*b8004 + 234*b8004 + 
    0.474452*b8004^2 + 0.236547*b8004*b8005 + 414*b8005 + 0.4730935*b8005^2 + 
    0.03971*b8005*b8006 + 730*b8006 + 0.07942*b8006^2 + 0.1659165*b8006*b8007
     + 422*b8007 + 0.331833*b8007^2 + 0.114832*b8007*b8008 + 491*b8008 + 
    0.229664*b8008^2 + 0.122738*b8008*b8009 + 484*b8009 + 0.2454765*b8009^2 + 
    0.0549185*b8009*b8010 + 693*b8010 + 0.1098365*b8010^2 + 0.1854505*b8010*
    b8011 + 663*b8011 + 0.3709015*b8011^2 + 0.067815*b8011*b8012 + 397*b8012 + 
    0.1356305*b8012^2 + 0.044045*b8012*b8013 + 538*b8013 + 0.08809*b8013^2 + 
    0.225029*b8013*b8014 + 542*b8014 + 0.4500585*b8014*b8014 + 0.20603*b8014*
    b8015 + 499*b8015 + 0.41206*b8015^2 + 0.2289065*b8015*b8016 + 613*b8016 + 
    0.4578125*b8016^2 + 0.1445645*b8016*b8017 + 436*b8017 + 0.2891285*b8017^2
     + 0.04500325*b8017*b8018 + 399*b8018 + 0.0900065*b8018^2 + 0.04112925*
    b8018*b8019 + 692*b8019 + 0.0822585*b8019^2 + 0.213407*b8019*b8020 + 523*
    b8020 + 0.4268135*b8020^2 + 0.0135939*b8020*b8021 + 676*b8021 + 0.02718785*
    b8021^2 + 0.2324095*b8021*b8022 + 744*b8022 + 0.4648185*b8022^2 + 0.08365*
    b8022*b8023 + 625*b8023 + 0.1673*b8023^2 + 0.164894*b8023*b8024 + 1058*
    b8024 + 0.329788*b8024^2 + 0.1904805*b8024*b8025 + 403*b8025 + 0.380961*
    b8025*b8025 + 0.113182*b8025*b8026 + 295*b8026 + 0.2263645*b8026^2 + 
    0.1941785*b8026*b8027 + 694*b8027 + 0.388357*b8027^2 + 0.04632925*b8027*
    b8028 + 404*b8028 + 0.0926585*b8028^2 + 0.110923*b8028*b8029 + 371*b8029 + 
    0.221846*b8029^2 + 0.0640685*b8029*b8030 + 242*b8030 + 0.128137*b8030^2 + 
    0.206308*b8030*b8031 + 1547*b8031 + 0.412616*b8031*b8031 + 0.112377*b8031*
    b8032 + 647*b8032 + 0.224754*b8032^2 + 0.0820045*b8032*b8033 + 714*b8033 + 
    0.1640085*b8033^2 + 0.070108*b8033*b8034 + 978*b8034 + 0.140216*b8034^2 + 
    0.2446145*b8034*b8035 + 556*b8035 + 0.4892285*b8035^2 + 0.042216*b8035*
    b8036 + 645*b8036 + 0.084432*b8036^2 + 0.144291*b8036*b8037 + 805*b8037 + 
    0.288582*b8037*b8037 + 0.152178*b8037*b8038 + 1248*b8038 + 0.304356*b8038^2
     + 0.241974*b8038*b8039 + 547*b8039 + 0.483948*b8039^2 + 0.0805875*b8039*
    b8040 + 428*b8040 + 0.161175*b8040^2 + 0.177167*b8040*b8041 + 219*b8041 + 
    0.354334*b8041^2 + 0.02865525*b8041*b8042 + 424*b8042 + 0.0573105*b8042^2
     + 0.110968*b8042*b8043 + 419*b8043 + 0.2219355*b8043*b8043 + 0.153713*
    b8043*b8044 + 389*b8044 + 0.3074265*b8044^2 + 0.1063375*b8044*b8045 + 425*
    b8045 + 0.2126755*b8045^2 + 0.000767575*b8045*b8046 + 730*b8046 + 
    0.00153515*b8046^2 + 0.1231235*b8046*b8047 + 745*b8047 + 0.2462465*b8047^2
     + 0.1124365*b8047*b8048 + 420*b8048 + 0.224873*b8048^2 + 0.0171565*b8048*
    b8049 + 411*b8049 + 0.03431305*b8049^2 + 0.02276915*b8049*b8050 + 359*b8050
     + 0.04553835*b8050^2 + 0.178711*b8050*b8051 + 1261*b8051 + 0.357422*b8051^
    2 + 0.04212225*b8051*b8052 + 465*b8052 + 0.0842445*b8052^2 + 0.0391905*
    b8052*b8053 + 431*b8053 + 0.078381*b8053^2 + 0.0580975*b8053*b8054 + 516*
    b8054 + 0.1161945*b8054^2 + 0.1172385*b8054*b8055 + 362*b8055 + 0.234477*
    b8055*b8055 + 0.212846*b8055*b8056 + 210*b8056 + 0.425692*b8056^2 + 
    0.187476*b8056*b8057 + 711*b8057 + 0.374952*b8057^2 + 0.1991025*b8057*b8058
     + 584*b8058 + 0.3982055*b8058^2 + 0.080494*b8058*b8059 + 820*b8059 + 
    0.1609875*b8059^2 + 0.0524705*b8059*b8060 + 1022*b8060 + 0.104941*b8060^2
     + 0.144962*b8060*b8061 + 870*b8061 + 0.2899235*b8061*b8061 + 0.0249952*
    b8061*b8062 + 438*b8062 + 0.0499904*b8062^2 + 0.03346775*b8062*b8063 + 770*
    b8063 + 0.0669355*b8063^2 + 0.073784*b8063*b8064 + 86*b8064 + 0.1475685*
    b8064^2 + 0.2220835*b8064*b8065 + 613*b8065 + 0.4441665*b8065^2 + 0.1704585
    *b8065*b8066 + 567*b8066 + 0.3409165*b8066^2 + 0.2363485*b8066*b8067 + 360*
    b8067 + 0.472697*b8067*b8067 + 0.0824395*b8067*b8068 + 431*b8068 + 
    0.1648785*b8068^2 + 0.236113*b8068*b8069 + 780*b8069 + 0.4722255*b8069^2 + 
    0.1355975*b8069*b8070 + 505*b8070 + 0.2711945*b8070^2 + 0.245222*b8070*
    b8071 + 236*b8071 + 0.490444*b8071^2 + 0.061955*b8071*b8072 + 423*b8072 + 
    0.1239095*b8072^2 + 0.1435635*b8072*b8073 + 1025*b8073 + 0.2871275*b8073^2
     + 0.20431*b8073*b8074 + 582*b8074 + 0.40862*b8074^2 + 0.1958865*b8074*
    b8075 + 402*b8075 + 0.3917725*b8075^2 + 0.234477*b8075*b8076 + 629*b8076 + 
    0.4689535*b8076^2 + 0.02045915*b8076*b8077 + 186*b8077 + 0.04091835*b8077^2
     + 0.241137*b8077*b8078 + 444*b8078 + 0.4822735*b8078^2 + 0.146972*b8078*
    b8079 + 519*b8079 + 0.2939435*b8079*b8079 + 0.04328575*b8079*b8080 + 585*
    b8080 + 0.0865715*b8080^2 + 0.058031*b8080*b8081 + 693*b8081 + 0.116062*
    b8081^2 + 0.064171*b8081*b8082 + 604*b8082 + 0.128342*b8082^2 + 0.0984265*
    b8082*b8083 + 805*b8083 + 0.196853*b8083^2 + 0.2269325*b8083*b8084 + 416*
    b8084 + 0.4538645*b8084^2 + 0.1083415*b8084*b8085 + 548*b8085 + 0.216683*
    b8085*b8085 + 0.051253*b8085*b8086 + 701*b8086 + 0.102506*b8086^2 + 
    0.1339925*b8086*b8087 + 483*b8087 + 0.2679855*b8087^2 + 0.1816385*b8087*
    b8088 + 427*b8088 + 0.363277*b8088^2 + 0.132484*b8088*b8089 + 593*b8089 + 
    0.264968*b8089^2 + 0.2150805*b8089*b8090 + 407*b8090 + 0.4301615*b8090^2 + 
    0.1663725*b8090*b8091 + 427*b8091 + 0.332745*b8091*b8091 + 0.01169185*b8091
    *b8092 + 313*b8092 + 0.0233837*b8092^2 + 0.241077*b8092*b8093 + 887*b8093
     + 0.482154*b8093^2 + 0.112794*b8093*b8094 + 781*b8094 + 0.2255885*b8094^2
     + 0.175319*b8094*b8095 + 468*b8095 + 0.350638*b8095^2 + 0.212931*b8095*
    b8096 + 409*b8096 + 0.4258615*b8096^2 + 0.0246717*b8096*b8097 + 692*b8097
     + 0.04934335*b8097^2 + 0.095108*b8097*b8098 + 1388*b8098 + 0.190216*b8098^
    2 + 0.234825*b8098*b8099 + 303*b8099 + 0.46965*b8099^2 + 0.1627745*b8099*
    b8100 + 427*b8100 + 0.3255495*b8100^2 + 0.125131*b8100*b8101 + 654*b8101 + 
    0.250262*b8101^2 + 0.003555475*b8101*b8102 + 361*b8102 + 0.00711095*b8102^2
     + 0.0980705*b8102*b8103 + 453*b8103 + 0.196141*b8103^2 + 0.230164*b8103*
    b8104 + 443*b8104 + 0.460328*b8104^2 + 0.04471825*b8104*b8105 + 234*b8105
     + 0.0894365*b8105^2 + 0.219355*b8105*b8106 + 491*b8106 + 0.43871*b8106^2
     + 0.22504*b8106*b8107 + 726*b8107 + 0.4500795*b8107^2 + 0.065873*b8107*
    b8108 + 633*b8108 + 0.1317465*b8108^2 + 0.2402275*b8108*b8109 + 309*b8109
     + 0.4804555*b8109^2 + 0.1652565*b8109*b8110 + 320*b8110 + 0.330513*b8110^2
     + 0.1870295*b8110*b8111 + 538*b8111 + 0.3740595*b8111^2 + 0.183083*b8111*
    b8112 + 462*b8112 + 0.366166*b8112^2 + 0.1884755*b8112*b8113 + 1304*b8113
     + 0.3769515*b8113^2 + 0.0140288*b8113*b8114 + 973*b8114 + 0.02805755*b8114
    ^2 + 0.0086317*b8114*b8115 + 338*b8115 + 0.01726335*b8115^2 + 0.0589705*
    b8115*b8116 + 320*b8116 + 0.1179405*b8116^2 + 0.1722605*b8116*b8117 + 917*
    b8117 + 0.3445205*b8117^2 + 0.121567*b8117*b8118 + 563*b8118 + 0.243134*
    b8118^2 + 0.090604*b8118*b8119 + 546*b8119 + 0.181208*b8119^2 + 0.0945195*
    b8119*b8120 + 888*b8120 + 0.1890395*b8120^2 + 0.122154*b8120*b8121 + 805*
    b8121 + 0.2443075*b8121*b8121 + 5.93005e-5*b8121*b8122 + 1022*b8122 + 
    0.0001186005*b8122^2 + 0.1420955*b8122*b8123 + 1248*b8123 + 0.2841915*b8123
    ^2 + 0.0441775*b8123*b8124 + 533*b8124 + 0.088355*b8124^2 + 0.0680835*b8124
    *b8125 + 567*b8125 + 0.136167*b8125^2 + 0.2382325*b8125*b8126 + 575*b8126
     + 0.4764655*b8126^2 + 0.04469025*b8126*b8127 + 426*b8127 + 0.0893805*b8127
    ^2 + 0.179607*b8127*b8128 + 1165*b8128 + 0.359214*b8128^2 + 0.01834865*
    b8128*b8129 + 787*b8129 + 0.0366973*b8129^2 + 0.1721275*b8129*b8130 + 409*
    b8130 + 0.3442555*b8130^2 + 0.2255185*b8130*b8131 + 425*b8131 + 0.451037*
    b8131^2 + 0.060009*b8131*b8132 + 680*b8132 + 0.120018*b8132^2 + 0.195867*
    b8132*b8133 + 589*b8133 + 0.391734*b8133*b8133 + 0.00402025*b8133*b8134 + 
    464*b8134 + 0.0080405*b8134^2 + 0.110916*b8134*b8135 + 780*b8135 + 0.221832
    *b8135^2 + 0.228554*b8135*b8136 + 352*b8136 + 0.4571085*b8136^2 + 
    0.00843535*b8136*b8137 + 555*b8137 + 0.01687065*b8137^2 + 0.150842*b8137*
    b8138 + 853*b8138 + 0.301684*b8138^2 + 0.1485565*b8138*b8139 + 258*b8139 + 
    0.2971135*b8139*b8139 + 0.00104439*b8139*b8140 + 485*b8140 + 0.00208878*
    b8140^2 + 0.1333015*b8140*b8141 + 660*b8141 + 0.2666035*b8141^2 + 0.003001*
    b8141*b8142 + 521*b8142 + 0.006002*b8142^2 + 0.193164*b8142*b8143 + 568*
    b8143 + 0.386328*b8143^2 + 0.2344345*b8143*b8144 + 38*b8144 + 0.468869*
    b8144^2 + 0.02759575*b8144*b8145 + 912*b8145 + 0.0551915*b8145^2 + 0.203809
    *b8145*b8146 + 473*b8146 + 0.4076175*b8146^2 + 0.2454085*b8146*b8147 + 823*
    b8147 + 0.490817*b8147^2 + 0.054931*b8147*b8148 + 206*b8148 + 0.1098615*
    b8148^2 + 0.2105875*b8148*b8149 + 413*b8149 + 0.4211755*b8149^2 + 0.071343*
    b8149*b8150 + 721*b8150 + 0.1426865*b8150*b8150 + 0.0650925*b8150*b8151 + 
    369*b8151 + 0.130185*b8151^2 + 0.042886*b8151*b8152 + 856*b8152 + 0.085772*
    b8152^2 + 0.078438*b8152*b8153 + 218*b8153 + 0.156876*b8153^2 + 0.0658805*
    b8153*b8154 + 371*b8154 + 0.131761*b8154^2 + 0.1471195*b8154*b8155 + 388*
    b8155 + 0.2942385*b8155^2 + 0.04978275*b8155*b8156 + 474*b8156 + 0.0995655*
    b8156^2 + 0.133512*b8156*b8157 + 244*b8157 + 0.2670235*b8157^2 + 0.027168*
    b8157*b8158 + 818*b8158 + 0.054336*b8158^2 + 0.2042065*b8158*b8159 + 568*
    b8159 + 0.4084135*b8159^2 + 0.002560575*b8159*b8160 + 597*b8160 + 
    0.00512115*b8160^2 + 0.100173*b8160*b8161 + 682*b8161 + 0.2003455*b8161^2
     + 0.169641*b8161*b8162 + 642*b8162 + 0.339282*b8162*b8162 + 0.00194807*
    b8162*b8163 + 906*b8163 + 0.00389614*b8163^2 + 0.2035715*b8163*b8164 + 386*
    b8164 + 0.4071435*b8164^2 + 0.188732*b8164*b8165 + 444*b8165 + 0.3774645*
    b8165^2 + 0.0666425*b8165*b8166 + 620*b8166 + 0.1332845*b8166^2 + 0.115839*
    b8166*b8167 + 736*b8167 + 0.2316775*b8167^2 + 0.00136239*b8167*b8168 + 989*
    b8168 + 0.002724785*b8168^2 + 0.122193*b8168*b8169 + 573*b8169 + 0.244386*
    b8169^2 + 0.02718225*b8169*b8170 + 779*b8170 + 0.0543645*b8170^2 + 
    0.1652645*b8170*b8171 + 478*b8171 + 0.3305295*b8171^2 + 0.002533875*b8171*
    b8172 + 297*b8172 + 0.00506775*b8172^2 + 0.052981*b8172*b8173 + 1181*b8173
     + 0.1059615*b8173^2 + 0.0209294*b8173*b8174 + 752*b8174 + 0.0418588*b8174^
    2 + 0.200191*b8174*b8175 + 893*b8175 + 0.400382*b8175^2 + 0.1804745*b8175*
    b8176 + 472*b8176 + 0.3609485*b8176^2 + 0.1193435*b8176*b8177 + 530*b8177
     + 0.238687*b8177^2 + 0.1016535*b8177*b8178 + 424*b8178 + 0.2033065*b8178^2
     + 0.228397*b8178*b8179 + 754*b8179 + 0.456794*b8179^2 + 0.182102*b8179*
    b8180 + 433*b8180 + 0.364204*b8180*b8180 + 0.187359*b8180*b8181 + 1041*
    b8181 + 0.374718*b8181^2 + 0.072105*b8181*b8182 + 681*b8182 + 0.1442105*
    b8182^2 + 0.200147*b8182*b8183 + 457*b8183 + 0.4002945*b8183^2 + 0.085945*
    b8183*b8184 + 227*b8184 + 0.1718895*b8184^2 + 0.001987175*b8184*b8185 + 593
    *b8185 + 0.00397435*b8185^2 + 0.0219487*b8185*b8186 + 678*b8186 + 
    0.04389745*b8186^2 + 0.03472025*b8186*b8187 + 389*b8187 + 0.0694405*b8187^2
     + 0.06723*b8187*b8188 + 415*b8188 + 0.1344595*b8188^2 + 0.153621*b8188*
    b8189 + 657*b8189 + 0.3072425*b8189^2 + 0.2220525*b8189*b8190 + 486*b8190
     + 0.4441045*b8190^2 + 0.1878335*b8190*b8191 + 494*b8191 + 0.3756675*b8191^
    2 + 0.1659725*b8191*b8192 + 590*b8192 + 0.331945*b8192*b8192 + 0.0964705*
    b8192*b8193 + 654*b8193 + 0.192941*b8193^2 + 0.2028505*b8193*b8194 + 1046*
    b8194 + 0.4057015*b8194^2 + 0.03413375*b8194*b8195 + 249*b8195 + 0.0682675*
    b8195^2 + 0.144221*b8195*b8196 + 530*b8196 + 0.2884415*b8196^2 + 0.0746465*
    b8196*b8197 + 1068*b8197 + 0.149293*b8197^2 + 0.148093*b8197*b8198 + 620*
    b8198 + 0.296186*b8198*b8198 + 0.0527415*b8198*b8199 + 655*b8199 + 
    0.1054835*b8199^2 + 0.1747035*b8199*b8200 + 741*b8200 + 0.3494065*b8200^2
     + 0.189061*b8200*b8201 + 424*b8201 + 0.3781225*b8201^2 + 0.2108855*b8201*
    b8202 + 539*b8202 + 0.421771*b8202^2 + 0.00373525*b8202*b8203 + 596*b8203
     + 0.0074705*b8203^2 + 0.155767*b8203*b8204 + 391*b8204 + 0.3115345*b8204*
    b8204 + 0.1633775*b8204*b8205 + 663*b8205 + 0.3267555*b8205^2 + 0.059557*
    b8205*b8206 + 244*b8206 + 0.1191145*b8206^2 + 0.1699565*b8206*b8207 + 361*
    b8207 + 0.3399125*b8207^2 + 0.2007655*b8207*b8208 + 234*b8208 + 0.4015305*
    b8208^2 + 0.21211*b8208*b8209 + 80*b8209 + 0.42422*b8209^2 + 0.200197*b8209
    *b8210 + 479*b8210 + 0.4003945*b8210^2 + 0.0242081*b8210*b8211 + 760*b8211
     + 0.0484162*b8211^2 + 0.1916585*b8211*b8212 + 244*b8212 + 0.3833165*b8212^
    2 + 0.245075*b8212*b8213 + 249*b8213 + 0.4901505*b8213^2 + 0.1224325*b8213*
    b8214 + 1011*b8214 + 0.244865*b8214^2 + 0.131421*b8214*b8215 + 669*b8215 + 
    0.2628425*b8215*b8215 + 0.001483845*b8215*b8216 + 551*b8216 + 0.002967695*
    b8216^2 + 0.114221*b8216*b8217 + 968*b8217 + 0.228442*b8217^2 + 0.0729945*
    b8217*b8218 + 536*b8218 + 0.1459895*b8218^2 + 0.1822855*b8218*b8219 + 1135*
    b8219 + 0.364571*b8219^2 + 0.2080875*b8219*b8220 + 617*b8220 + 0.4161755*
    b8220^2 + 0.1322895*b8220*b8221 + 1097*b8221 + 0.264579*b8221^2 + 0.1487525
    *b8221*b8222 + 456*b8222 + 0.2975055*b8222^2 + 0.000674825*b8222*b8223 + 
    242*b8223 + 0.00134965*b8223^2 + 0.0647055*b8223*b8224 + 464*b8224 + 
    0.1294105*b8224^2 + 0.1404865*b8224*b8225 + 242*b8225 + 0.280973*b8225^2 + 
    0.1906985*b8225*b8226 + 984*b8226 + 0.3813965*b8226^2 + 0.1045895*b8226*
    b8227 + 1268*b8227 + 0.2091795*b8227^2 + 0.035907*b8227*b8228 + 690*b8228
     + 0.071814*b8228^2 + 0.04603*b8228*b8229 + 406*b8229 + 0.09206*b8229^2 + 
    0.2480355*b8229*b8230 + 452*b8230 + 0.4960705*b8230^2 + 0.1527875*b8230*
    b8231 + 779*b8231 + 0.3055745*b8231^2 + 0.03779975*b8231*b8232 + 658*b8232
     + 0.0755995*b8232^2 + 0.1398175*b8232*b8233 + 281*b8233 + 0.2796355*b8233^
    2 + 0.183866*b8233*b8234 + 1022*b8234 + 0.367732*b8234^2 + 0.0759965*b8234*
    b8235 + 722*b8235 + 0.151993*b8235^2 + 0.166739*b8235*b8236 + 801*b8236 + 
    0.333478*b8236^2 + 0.141561*b8236*b8237 + 254*b8237 + 0.2831225*b8237^2 + 
    0.229667*b8237*b8238 + 505*b8238 + 0.4593345*b8238^2 + 0.094965*b8238*b8239
     + 478*b8239 + 0.1899295*b8239*b8239 + 0.2484855*b8239*b8240 + 402*b8240 + 
    0.496971*b8240^2 + 0.0104971*b8240*b8241 + 504*b8241 + 0.0209942*b8241^2 + 
    0.0996335*b8241*b8242 + 782*b8242 + 0.1992675*b8242^2 + 0.11895*b8242*b8243
     + 744*b8243 + 0.2379005*b8243^2 + 0.02638875*b8243*b8244 + 213*b8244 + 
    0.0527775*b8244^2 + 0.0326815*b8244*b8245 + 369*b8245 + 0.065363*b8245*
    b8245 + 0.0152375*b8245*b8246 + 224*b8246 + 0.03047495*b8246^2 + 0.084075*
    b8246*b8247 + 316*b8247 + 0.1681495*b8247^2 + 0.2267925*b8247*b8248 + 837*
    b8248 + 0.4535845*b8248^2 + 0.00869285*b8248*b8249 + 144*b8249 + 0.0173857*
    b8249^2 + 0.084074*b8249*b8250 + 245*b8250 + 0.1681475*b8250^2 + 0.134087*
    b8250*b8251 + 641*b8251 + 0.2681745*b8251*b8251 + 0.0579065*b8251*b8252 + 
    844*b8252 + 0.1158135*b8252^2 + 0.073833*b8252*b8253 + 384*b8253 + 
    0.1476655*b8253^2 + 0.04937825*b8253*b8254 + 657*b8254 + 0.0987565*b8254^2
     + 0.0791985*b8254*b8255 + 482*b8255 + 0.1583975*b8255^2 + 0.200391*b8255*
    b8256 + 284*b8256 + 0.4007825*b8256^2 + 0.0429645*b8256*b8257 + 115*b8257
     + 0.085929*b8257*b8257 + 0.0610795*b8257*b8258 + 434*b8258 + 0.1221585*
    b8258^2 + 0.108264*b8258*b8259 + 462*b8259 + 0.216528*b8259^2 + 0.2051*
    b8259*b8260 + 678*b8260 + 0.4102*b8260^2 + 0.1864265*b8260*b8261 + 648*
    b8261 + 0.372853*b8261^2 + 0.213994*b8261*b8262 + 240*b8262 + 0.4279885*
    b8262^2 + 0.2107075*b8262*b8263 + 720*b8263 + 0.421415*b8263^2 + 0.221794*
    b8263*b8264 + 1159*b8264 + 0.443588*b8264^2 + 0.09033*b8264*b8265 + 885*
    b8265 + 0.1806595*b8265^2 + 0.235058*b8265*b8266 + 1412*b8266 + 0.4701155*
    b8266^2 + 0.028017*b8266*b8267 + 437*b8267 + 0.056034*b8267^2 + 0.082077*
    b8267*b8268 + 1015*b8268 + 0.1641535*b8268*b8268 + 0.202306*b8268*b8269 + 
    556*b8269 + 0.4046125*b8269^2 + 0.0042491*b8269*b8270 + 505*b8270 + 
    0.0084982*b8270^2 + 0.0575055*b8270*b8271 + 610*b8271 + 0.115011*b8271^2 + 
    0.04296675*b8271*b8272 + 444*b8272 + 0.0859335*b8272^2 + 0.1318855*b8272*
    b8273 + 697*b8273 + 0.2637705*b8273^2 + 0.072914*b8273*b8274 + 901*b8274 + 
    0.1458285*b8274*b8274 + 0.0807055*b8274*b8275 + 567*b8275 + 0.161411*b8275^
    2 + 0.032751*b8275*b8276 + 919*b8276 + 0.065502*b8276^2 + 0.239329*b8276*
    b8277 + 649*b8277 + 0.4786575*b8277^2 + 0.13404*b8277*b8278 + 856*b8278 + 
    0.26808*b8278^2 + 0.196454*b8278*b8279 + 442*b8279 + 0.392908*b8279^2 + 
    0.2001845*b8279*b8280 + 533*b8280 + 0.4003685*b8280^2 + 0.2210195*b8280*
    b8281 + 602*b8281 + 0.442039*b8281^2 + 0.236197*b8281*b8282 + 1042*b8282 + 
    0.4723935*b8282^2 + 0.190672*b8282*b8283 + 426*b8283 + 0.3813435*b8283^2 + 
    0.1532195*b8283*b8284 + 453*b8284 + 0.306439*b8284^2 + 0.23887*b8284*b8285
     + 1332*b8285 + 0.47774*b8285*b8285 + 0.0762285*b8285*b8286 + 233*b8286 + 
    0.152457*b8286^2 + 0.1235745*b8286*b8287 + 507*b8287 + 0.2471495*b8287^2 + 
    0.1251125*b8287*b8288 + 216*b8288 + 0.2502255*b8288^2 + 0.23262*b8288*b8289
     + 823*b8289 + 0.46524*b8289^2 + 0.09291*b8289*b8290 + 208*b8290 + 
    0.1858205*b8290^2 + 0.073213*b8290*b8291 + 412*b8291 + 0.1464265*b8291*
    b8291 + 0.1328035*b8291*b8292 + 402*b8292 + 0.2656075*b8292^2 + 0.1657475*
    b8292*b8293 + 543*b8293 + 0.331495*b8293^2 + 0.1349015*b8293*b8294 + 638*
    b8294 + 0.269803*b8294^2 + 0.051781*b8294*b8295 + 317*b8295 + 0.1035615*
    b8295^2 + 0.00764815*b8295*b8296 + 861*b8296 + 0.01529625*b8296^2 + 
    0.04848525*b8296*b8297 + 263*b8297 + 0.0969705*b8297^2 + 0.154724*b8297*
    b8298 + 401*b8298 + 0.309448*b8298^2 + 0.01342865*b8298*b8299 + 374*b8299
     + 0.02685735*b8299^2 + 0.0176245*b8299*b8300 + 424*b8300 + 0.03524895*
    b8300^2 + 0.110992*b8300*b8301 + 518*b8301 + 0.2219835*b8301^2 + 0.198998*
    b8301*b8302 + 683*b8302 + 0.397996*b8302^2 + 0.03458075*b8302*b8303 + 747*
    b8303 + 0.0691615*b8303^2 + 0.210552*b8303*b8304 + 399*b8304 + 0.4211035*
    b8304^2 + 0.077668*b8304*b8305 + 470*b8305 + 0.155336*b8305^2 + 0.119744*
    b8305*b8306 + 600*b8306 + 0.239488*b8306^2 + 0.1672225*b8306*b8307 + 412*
    b8307 + 0.334445*b8307^2 + 0.06651*b8307*b8308 + 734*b8308 + 0.13302*b8308^
    2 + 0.160875*b8308*b8309 + 712*b8309 + 0.3217495*b8309^2 + 0.1770395*b8309*
    b8310 + 305*b8310 + 0.354079*b8310^2 + 0.1516205*b8310*b8311 + 497*b8311 + 
    0.303241*b8311^2 + 0.1901115*b8311*b8312 + 747*b8312 + 0.380223*b8312^2 + 
    0.141948*b8312*b8313 + 553*b8313 + 0.283896*b8313^2 + 0.231971*b8313*b8314
     + 920*b8314 + 0.4639425*b8314^2 + 0.1311555*b8314*b8315 + 723*b8315 + 
    0.262311*b8315^2 + 0.227239*b8315*b8316 + 672*b8316 + 0.454478*b8316^2 + 
    0.219801*b8316*b8317 + 690*b8317 + 0.439602*b8317^2 + 0.0593245*b8317*b8318
     + 501*b8318 + 0.118649*b8318^2 + 0.223277*b8318*b8319 + 322*b8319 + 
    0.446554*b8319*b8319 + 0.04638475*b8319*b8320 + 965*b8320 + 0.0927695*b8320
    ^2 + 0.1306675*b8320*b8321 + 839*b8321 + 0.2613355*b8321^2 + 0.1045065*
    b8321*b8322 + 890*b8322 + 0.2090135*b8322^2 + 0.00805425*b8322*b8323 + 774*
    b8323 + 0.01610855*b8323^2 + 0.1007715*b8323*b8324 + 833*b8324 + 0.201543*
    b8324^2 + 0.1073045*b8324*b8325 + 790*b8325 + 0.2146085*b8325^2 + 0.2175505
    *b8325*b8326 + 401*b8326 + 0.4351015*b8326^2 + 0.092422*b8326*b8327 + 478*
    b8327 + 0.184844*b8327^2 + 0.1434115*b8327*b8328 + 544*b8328 + 0.286823*
    b8328^2 + 0.187716*b8328*b8329 + 413*b8329 + 0.375432*b8329^2 + 0.109397*
    b8329*b8330 + 561*b8330 + 0.218794*b8330^2 + 0.046817*b8330*b8331 + 648*
    b8331 + 0.093634*b8331^2 + 0.167782*b8331*b8332 + 424*b8332 + 0.3355645*
    b8332^2 + 0.0805525*b8332*b8333 + 802*b8333 + 0.161105*b8333^2 + 0.236603*
    b8333*b8334 + 905*b8334 + 0.4732065*b8334^2 + 0.08998*b8334*b8335 + 435*
    b8335 + 0.1799605*b8335^2 + 0.217963*b8335*b8336 + 537*b8336 + 0.4359255*
    b8336*b8336 + 0.098063*b8336*b8337 + 649*b8337 + 0.196126*b8337^2 + 
    0.1692615*b8337*b8338 + 927*b8338 + 0.338523*b8338^2 + 0.1396635*b8338*
    b8339 + 426*b8339 + 0.279327*b8339^2 + 0.192061*b8339*b8340 + 43*b8340 + 
    0.3841215*b8340^2 + 0.227372*b8340*b8341 + 391*b8341 + 0.454744*b8341^2 + 
    0.159843*b8341*b8342 + 460*b8342 + 0.3196855*b8342*b8342 + 0.02047375*b8342
    *b8343 + 378*b8343 + 0.0409475*b8343^2 + 0.1995765*b8343*b8344 + 1155*b8344
     + 0.3991525*b8344^2 + 0.22476*b8344*b8345 + 620*b8345 + 0.4495205*b8345^2
     + 0.21593*b8345*b8346 + 531*b8346 + 0.4318605*b8346^2 + 0.01524245*b8346*
    b8347 + 657*b8347 + 0.03048485*b8347^2 + 0.1153465*b8347*b8348 + 422*b8348
     + 0.2306935*b8348^2 + 0.185243*b8348*b8349 + 368*b8349 + 0.370486*b8349^2
     + 0.2472415*b8349*b8350 + 676*b8350 + 0.494483*b8350^2 + 0.02112985*b8350*
    b8351 + 474*b8351 + 0.0422597*b8351^2 + 0.182074*b8351*b8352 + 916*b8352 + 
    0.3641475*b8352^2 + 0.067245*b8352*b8353 + 507*b8353 + 0.13449*b8353^2 + 
    0.177655*b8353*b8354 + 1086*b8354 + 0.3553095*b8354*b8354 + 0.20298*b8354*
    b8355 + 383*b8355 + 0.40596*b8355^2 + 0.21358*b8355*b8356 + 921*b8356 + 
    0.42716*b8356^2 + 0.1347685*b8356*b8357 + 514*b8357 + 0.269537*b8357^2 + 
    0.0099528*b8357*b8358 + 428*b8358 + 0.01990555*b8358^2 + 0.117943*b8358*
    b8359 + 550*b8359 + 0.235886*b8359*b8359 + 0.203121*b8359*b8360 + 835*b8360
     + 0.406242*b8360^2 + 0.2043595*b8360*b8361 + 320*b8361 + 0.408719*b8361^2
     + 0.025241*b8361*b8362 + 402*b8362 + 0.050482*b8362^2 + 0.2236665*b8362*
    b8363 + 404*b8363 + 0.4473335*b8363^2 + 0.210841*b8363*b8364 + 532*b8364 + 
    0.421682*b8364^2 + 0.03694575*b8364*b8365 + 719*b8365 + 0.0738915*b8365^2
     + 0.077026*b8365*b8366 + 643*b8366 + 0.1540515*b8366^2 + 0.160859*b8366*
    b8367 + 290*b8367 + 0.321718*b8367^2 + 0.0994185*b8367*b8368 + 498*b8368 + 
    0.198837*b8368^2 + 0.18546*b8368*b8369 + 333*b8369 + 0.3709195*b8369^2 + 
    0.1983855*b8369*b8370 + 567*b8370 + 0.3967705*b8370^2 + 0.1508115*b8370*
    b8371 + 599*b8371 + 0.3016225*b8371^2 + 0.1075885*b8371*b8372 + 220*b8372
     + 0.2151775*b8372^2 + 0.1244355*b8372*b8373 + 381*b8373 + 0.248871*b8373^2
     + 0.1665785*b8373*b8374 + 440*b8374 + 0.333157*b8374^2 + 0.2153005*b8374*
    b8375 + 898*b8375 + 0.430601*b8375^2 + 0.1081615*b8375*b8376 + 1183*b8376
     + 0.2163225*b8376^2 + 0.067004*b8376*b8377 + 1300*b8377 + 0.134008*b8377^2
     + 0.1609865*b8377*b8378 + 793*b8378 + 0.321973*b8378^2 + 0.042314*b8378*
    b8379 + 626*b8379 + 0.084628*b8379^2 + 0.2451145*b8379*b8380 + 678*b8380 + 
    0.490229*b8380^2 + 0.193454*b8380*b8381 + 1039*b8381 + 0.386908*b8381^2 + 
    0.0635955*b8381*b8382 + 623*b8382 + 0.1271905*b8382*b8382 + 0.1996785*b8382
    *b8383 + 646*b8383 + 0.3993565*b8383^2 + 0.1183745*b8383*b8384 + 1314*b8384
     + 0.2367485*b8384^2 + 0.163137*b8384*b8385 + 404*b8385 + 0.326274*b8385^2
     + 0.0690525*b8385*b8386 + 498*b8386 + 0.138105*b8386^2 + 0.184595*b8386*
    b8387 + 963*b8387 + 0.3691895*b8387^2 + 0.00830465*b8387*b8388 + 532*b8388
     + 0.0166093*b8388^2 + 0.108636*b8388*b8389 + 891*b8389 + 0.217272*b8389^2
     + 0.0917855*b8389*b8390 + 554*b8390 + 0.1835715*b8390^2 + 0.001407385*
    b8390*b8391 + 380*b8391 + 0.00281477*b8391^2 + 0.0350295*b8391*b8392 + 624*
    b8392 + 0.070059*b8392^2 + 0.0441205*b8392*b8393 + 694*b8393 + 0.088241*
    b8393^2 + 0.1515215*b8393*b8394 + 407*b8394 + 0.303043*b8394*b8394 + 
    0.069395*b8394*b8395 + 240*b8395 + 0.13879*b8395^2 + 0.00123983*b8395*b8396
     + 1183*b8396 + 0.002479665*b8396^2 + 0.2340005*b8396*b8397 + 677*b8397 + 
    0.468001*b8397^2 + 0.139775*b8397*b8398 + 419*b8398 + 0.2795495*b8398^2 + 
    0.1939925*b8398*b8399 + 514*b8399 + 0.387985*b8399^2 + 0.0088683*b8399*
    b8400 + 1198*b8400 + 0.0177366*b8400^2 + 0.1187315*b8400*b8401 + 256*b8401
     + 0.237463*b8401^2 + 0.096123*b8401*b8402 + 622*b8402 + 0.1922455*b8402^2
     + 0.1616085*b8402*b8403 + 415*b8403 + 0.3232165*b8403^2 + 0.0723125*b8403*
    b8404 + 553*b8404 + 0.1446255*b8404^2 + 0.070924*b8404*b8405 + 603*b8405 + 
    0.141848*b8405^2 + 0.04946575*b8405*b8406 + 741*b8406 + 0.0989315*b8406^2
     + 0.1500355*b8406*b8407 + 233*b8407 + 0.3000715*b8407^2 + 0.052533*b8407*
    b8408 + 450*b8408 + 0.1050665*b8408^2 + 0.02595175*b8408*b8409 + 425*b8409
     + 0.0519035*b8409^2 + 0.106554*b8409*b8410 + 610*b8410 + 0.2131075*b8410^2
     + 0.232258*b8410*b8411 + 422*b8411 + 0.4645165*b8411^2 + 0.216596*b8411*
    b8412 + 848*b8412 + 0.433192*b8412*b8412 + 0.133473*b8412*b8413 + 730*b8413
     + 0.266946*b8413^2 + 0.0663955*b8413*b8414 + 226*b8414 + 0.1327905*b8414^2
     + 0.1546945*b8414*b8415 + 602*b8415 + 0.3093895*b8415^2 + 0.0268375*b8415*
    b8416 + 218*b8416 + 0.053675*b8416^2 + 0.128813*b8416*b8417 + 384*b8417 + 
    0.2576255*b8417^2 + 0.1817985*b8417*b8418 + 927*b8418 + 0.363597*b8418*
    b8418 + 0.225172*b8418*b8419 + 608*b8419 + 0.450344*b8419^2 + 0.1510165*
    b8419*b8420 + 1077*b8420 + 0.302033*b8420^2 + 0.017402*b8420*b8421 + 824*
    b8421 + 0.034804*b8421^2 + 0.03584975*b8421*b8422 + 309*b8422 + 0.0716995*
    b8422^2 + 0.0713645*b8422*b8423 + 844*b8423 + 0.1427285*b8423^2 + 0.171358*
    b8423*b8424 + 297*b8424 + 0.342716*b8424*b8424 + 0.037597*b8424*b8425 + 615
    *b8425 + 0.075194*b8425^2 + 0.246571*b8425*b8426 + 428*b8426 + 0.4931415*
    b8426^2 + 0.02884325*b8426*b8427 + 464*b8427 + 0.0576865*b8427^2 + 
    0.1933405*b8427*b8428 + 468*b8428 + 0.386681*b8428^2 + 0.0672825*b8428*
    b8429 + 449*b8429 + 0.1345645*b8429^2 + 0.128787*b8429*b8430 + 554*b8430 + 
    0.257574*b8430^2 + 0.2455305*b8430*b8431 + 591*b8431 + 0.4910605*b8431^2 + 
    0.01455665*b8431*b8432 + 651*b8432 + 0.0291133*b8432^2 + 0.124969*b8432*
    b8433 + 798*b8433 + 0.2499375*b8433^2 + 0.03893975*b8433*b8434 + 1047*b8434
     + 0.0778795*b8434^2 + 0.126039*b8434*b8435 + 566*b8435 + 0.2520775*b8435*
    b8435 + 0.179054*b8435*b8436 + 329*b8436 + 0.3581085*b8436^2 + 0.053816*
    b8436*b8437 + 298*b8437 + 0.107632*b8437^2 + 0.1798725*b8437*b8438 + 431*
    b8438 + 0.3597445*b8438^2 + 0.1323*b8438*b8439 + 759*b8439 + 0.2646*b8439^2
     + 0.1033505*b8439*b8440 + 432*b8440 + 0.2067005*b8440^2 + 0.21712*b8440*
    b8441 + 495*b8441 + 0.43424*b8441^2 + 0.136652*b8441*b8442 + 323*b8442 + 
    0.273304*b8442^2 + 0.202144*b8442*b8443 + 514*b8443 + 0.4042875*b8443^2 + 
    0.0171291*b8443*b8444 + 389*b8444 + 0.03425825*b8444^2 + 0.176859*b8444*
    b8445 + 452*b8445 + 0.3537175*b8445^2 + 0.02612025*b8445*b8446 + 546*b8446
     + 0.0522405*b8446^2 + 0.051156*b8446*b8447 + 253*b8447 + 0.102312*b8447^2
     + 0.1154845*b8447*b8448 + 323*b8448 + 0.2309695*b8448^2 + 0.1718745*b8448*
    b8449 + 396*b8449 + 0.343749*b8449^2 + 0.113257*b8449*b8450 + 302*b8450 + 
    0.2265135*b8450^2 + 0.172357*b8450*b8451 + 1452*b8451 + 0.3447145*b8451^2
     + 0.075535*b8451*b8452 + 411*b8452 + 0.1510705*b8452*b8452 + 0.119168*
    b8452*b8453 + 200*b8453 + 0.2383355*b8453^2 + 0.0052175*b8453*b8454 + 888*
    b8454 + 0.010435*b8454^2 + 0.093019*b8454*b8455 + 372*b8455 + 0.186038*
    b8455^2 + 0.223115*b8455*b8456 + 581*b8456 + 0.4462295*b8456^2 + 0.103117*
    b8456*b8457 + 480*b8457 + 0.206234*b8457^2 + 0.235804*b8457*b8458 + 256*
    b8458 + 0.4716075*b8458*b8458 + 0.2440095*b8458*b8459 + 788*b8459 + 
    0.488019*b8459^2 + 0.0182391*b8459*b8460 + 533*b8460 + 0.03647815*b8460^2
     + 0.2241105*b8460*b8461 + 365*b8461 + 0.448221*b8461^2 + 0.0551985*b8461*
    b8462 + 454*b8462 + 0.110397*b8462^2 + 0.1247825*b8462*b8463 + 84*b8463 + 
    0.2495655*b8463^2 + 0.226896*b8463*b8464 + 724*b8464 + 0.453792*b8464*b8464
     + 0.0692815*b8464*b8465 + 518*b8465 + 0.1385625*b8465^2 + 0.1214535*b8465*
    b8466 + 843*b8466 + 0.242907*b8466^2 + 0.119141*b8466*b8467 + 433*b8467 + 
    0.2382815*b8467^2 + 0.1518145*b8467*b8468 + 653*b8468 + 0.3036295*b8468^2
     + 0.064893*b8468*b8469 + 690*b8469 + 0.129786*b8469^2 + 0.223886*b8469*
    b8470 + 299*b8470 + 0.447772*b8470*b8470 + 0.0488665*b8470*b8471 + 432*
    b8471 + 0.097733*b8471^2 + 0.0194109*b8471*b8472 + 769*b8472 + 0.03882185*
    b8472^2 + 0.166979*b8472*b8473 + 481*b8473 + 0.333958*b8473^2 + 0.0694845*
    b8473*b8474 + 387*b8474 + 0.138969*b8474^2 + 0.2485395*b8474*b8475 + 863*
    b8475 + 0.497079*b8475^2 + 0.04929025*b8475*b8476 + 512*b8476 + 0.0985805*
    b8476^2 + 0.219681*b8476*b8477 + 465*b8477 + 0.4393625*b8477^2 + 0.051989*
    b8477*b8478 + 475*b8478 + 0.103978*b8478^2 + 0.248613*b8478*b8479 + 1377*
    b8479 + 0.497226*b8479^2 + 0.2170635*b8479*b8480 + 665*b8480 + 0.4341265*
    b8480^2 + 0.204927*b8480*b8481 + 476*b8481 + 0.409854*b8481^2 + 0.115034*
    b8481*b8482 + 639*b8482 + 0.230068*b8482*b8482 + 0.119773*b8482*b8483 + 229
    *b8483 + 0.2395465*b8483^2 + 0.1535075*b8483*b8484 + 332*b8484 + 0.3070155*
    b8484^2 + 0.0678925*b8484*b8485 + 848*b8485 + 0.1357845*b8485^2 + 0.2318745
    *b8485*b8486 + 642*b8486 + 0.4637485*b8486^2 + 0.21685*b8486*b8487 + 702*
    b8487 + 0.4337005*b8487^2 + 0.236555*b8487*b8488 + 821*b8488 + 0.47311*
    b8488*b8488 + 0.1927735*b8488*b8489 + 222*b8489 + 0.3855475*b8489^2 + 
    0.1748945*b8489*b8490 + 409*b8490 + 0.3497895*b8490^2 + 0.036314*b8490*
    b8491 + 577*b8491 + 0.072628*b8491^2 + 0.2203285*b8491*b8492 + 733*b8492 + 
    0.4406575*b8492^2 + 0.2309285*b8492*b8493 + 533*b8493 + 0.4618575*b8493^2
     + 0.032507*b8493*b8494 + 390*b8494 + 0.065014*b8494*b8494 + 0.1748695*
    b8494*b8495 + 697*b8495 + 0.349739*b8495^2 + 0.1166055*b8495*b8496 + 368*
    b8496 + 0.2332115*b8496^2 + 0.219769*b8496*b8497 + 725*b8497 + 0.4395385*
    b8497^2 + 0.1374375*b8497*b8498 + 448*b8498 + 0.2748745*b8498^2 + 0.067124*
    b8498*b8499 + 703*b8499 + 0.1342485*b8499^2 + 0.2028575*b8499*b8500 + 838*
    b8500 + 0.405715*b8500*b8500 + 0.1872545*b8500*b8501 + 655*b8501 + 
    0.3745095*b8501^2 + 0.0392695*b8501*b8502 + 441*b8502 + 0.078539*b8502^2 + 
    0.0295155*b8502*b8503 + 210*b8503 + 0.059031*b8503^2 + 0.00098819*b8503*
    b8504 + 416*b8504 + 0.00197638*b8504^2 + 0.170223*b8504*b8505 + 260*b8505
     + 0.3404455*b8505^2 + 0.1088375*b8505*b8506 + 765*b8506 + 0.217675*b8506*
    b8506 + 0.1638005*b8506*b8507 + 416*b8507 + 0.3276005*b8507^2 + 0.0557335*
    b8507*b8508 + 885*b8508 + 0.1114675*b8508^2 + 0.1010865*b8508*b8509 + 576*
    b8509 + 0.2021725*b8509^2 + 0.197366*b8509*b8510 + 600*b8510 + 0.394732*
    b8510^2 + 0.1473145*b8510*b8511 + 399*b8511 + 0.2946295*b8511^2 + 0.0565105
    *b8511*b8512 + 811*b8512 + 0.113021*b8512*b8512 + 0.1203915*b8512*b8513 + 
    639*b8513 + 0.2407825*b8513^2 + 0.1007095*b8513*b8514 + 512*b8514 + 
    0.201419*b8514^2 + 0.2086345*b8514*b8515 + 263*b8515 + 0.417269*b8515^2 + 
    0.099047*b8515*b8516 + 536*b8516 + 0.1980935*b8516^2 + 0.179746*b8516*b8517
     + 574*b8517 + 0.3594915*b8517^2 + 0.04143025*b8517*b8518 + 552*b8518 + 
    0.0828605*b8518^2 + 0.0969025*b8518*b8519 + 902*b8519 + 0.193805*b8519^2 + 
    0.1578655*b8519*b8520 + 231*b8520 + 0.3157305*b8520^2 + 0.123028*b8520*
    b8521 + 324*b8521 + 0.246056*b8521^2 + 0.09817*b8521*b8522 + 531*b8522 + 
    0.19634*b8522^2 + 0.2232275*b8522*b8523 + 458*b8523 + 0.446455*b8523^2 + 
    0.098556*b8523*b8524 + 799*b8524 + 0.197112*b8524^2 + 0.1237835*b8524*b8525
     + 387*b8525 + 0.2475675*b8525^2 + 0.239358*b8525*b8526 + 455*b8526 + 
    0.4787155*b8526^2 + 0.136732*b8526*b8527 + 414*b8527 + 0.273464*b8527^2 + 
    0.1569755*b8527*b8528 + 812*b8528 + 0.3139515*b8528^2 + 0.111179*b8528*
    b8529 + 506*b8529 + 0.222358*b8529*b8529 + 0.2091815*b8529*b8530 + 546*
    b8530 + 0.4183625*b8530^2 + 0.171895*b8530*b8531 + 631*b8531 + 0.3437895*
    b8531^2 + 0.1478835*b8531*b8532 + 427*b8532 + 0.295767*b8532^2 + 0.18849*
    b8532*b8533 + 750*b8533 + 0.3769805*b8533^2 + 0.0558545*b8533*b8534 + 498*
    b8534 + 0.111709*b8534^2 + 0.2234365*b8534*b8535 + 198*b8535 + 0.446873*
    b8535*b8535 + 0.112095*b8535*b8536 + 336*b8536 + 0.22419*b8536^2 + 
    0.1568445*b8536*b8537 + 668*b8537 + 0.313689*b8537^2 + 0.208935*b8537*b8538
     + 642*b8538 + 0.4178705*b8538^2 + 0.02526725*b8538*b8539 + 889*b8539 + 
    0.0505345*b8539^2 + 0.1001595*b8539*b8540 + 572*b8540 + 0.200319*b8540*
    b8540 + 0.115139*b8540*b8541 + 587*b8541 + 0.2302785*b8541^2 + 0.01137005*
    b8541*b8542 + 310*b8542 + 0.02274005*b8542^2 + 0.094009*b8542*b8543 + 1093*
    b8543 + 0.1880175*b8543^2 + 0.1042035*b8543*b8544 + 268*b8544 + 0.2084075*
    b8544^2 + 0.169836*b8544*b8545 + 646*b8545 + 0.3396725*b8545^2 + 0.1560285*
    b8545*b8546 + 487*b8546 + 0.3120575*b8546^2 + 0.0792645*b8546*b8547 + 1352*
    b8547 + 0.158529*b8547^2 + 0.107782*b8547*b8548 + 381*b8548 + 0.215564*
    b8548^2 + 0.1005515*b8548*b8549 + 628*b8549 + 0.201103*b8549^2 + 0.141087*
    b8549*b8550 + 557*b8550 + 0.2821745*b8550^2 + 0.248235*b8550*b8551 + 254*
    b8551 + 0.4964705*b8551^2 + 0.0478835*b8551*b8552 + 507*b8552 + 0.095767*
    b8552*b8552 + 0.067373*b8552*b8553 + 672*b8553 + 0.1347465*b8553^2 + 
    0.1999055*b8553*b8554 + 633*b8554 + 0.3998115*b8554^2 + 0.1415745*b8554*
    b8555 + 715*b8555 + 0.2831485*b8555^2 + 0.131236*b8555*b8556 + 741*b8556 + 
    0.2624715*b8556^2 + 0.1810015*b8556*b8557 + 726*b8557 + 0.3620025*b8557^2
     + 0.1658205*b8557*b8558 + 1121*b8558 + 0.3316405*b8558^2 + 0.249889*b8558*
    b8559 + 621*b8559 + 0.499778*b8559^2 + 0.141226*b8559*b8560 + 808*b8560 + 
    0.282452*b8560^2 + 0.076787*b8560*b8561 + 522*b8561 + 0.153574*b8561^2 + 
    0.060323*b8561*b8562 + 510*b8562 + 0.1206455*b8562^2 + 0.03385175*b8562*
    b8563 + 272*b8563 + 0.0677035*b8563^2 + 0.1963035*b8563*b8564 + 1081*b8564
     + 0.3926075*b8564^2 + 0.1243325*b8564*b8565 + 253*b8565 + 0.248665*b8565^2
     + 0.088123*b8565*b8566 + 675*b8566 + 0.176246*b8566^2 + 0.2270405*b8566*
    b8567 + 440*b8567 + 0.454081*b8567^2 + 0.2222225*b8567*b8568 + 516*b8568 + 
    0.444445*b8568^2 + 0.2025135*b8568*b8569 + 517*b8569 + 0.4050275*b8569^2 + 
    0.04802725*b8569*b8570 + 434*b8570 + 0.0960545*b8570^2 + 0.215471*b8570*
    b8571 + 532*b8571 + 0.430942*b8571^2 + 0.105569*b8571*b8572 + 595*b8572 + 
    0.211138*b8572^2 + 0.20714*b8572*b8573 + 636*b8573 + 0.4142795*b8573^2 + 
    0.0191154*b8573*b8574 + 400*b8574 + 0.03823075*b8574^2 + 0.1706015*b8574*
    b8575 + 432*b8575 + 0.3412025*b8575^2 + 0.0144381*b8575*b8576 + 1012*b8576
     + 0.02887625*b8576^2 + 0.0016917*b8576*b8577 + 470*b8577 + 0.003383405*
    b8577^2 + 0.211727*b8577*b8578 + 335*b8578 + 0.423454*b8578^2 + 0.2462015*
    b8578*b8579 + 207*b8579 + 0.492403*b8579^2 + 0.1962345*b8579*b8580 + 226*
    b8580 + 0.392469*b8580^2 + 0.240471*b8580*b8581 + 745*b8581 + 0.4809425*
    b8581^2 + 0.2393215*b8581*b8582 + 1083*b8582 + 0.478643*b8582^2 + 0.0167857
    *b8582*b8583 + 703*b8583 + 0.0335714*b8583^2 + 0.0447705*b8583*b8584 + 241*
    b8584 + 0.089541*b8584^2 + 0.0465*b8584*b8585 + 613*b8585 + 0.093*b8585^2
     + 0.19167*b8585*b8586 + 387*b8586 + 0.3833405*b8586^2 + 0.226547*b8586*
    b8587 + 408*b8587 + 0.453094*b8587*b8587 + 0.03921025*b8587*b8588 + 397*
    b8588 + 0.0784205*b8588^2 + 0.036783*b8588*b8589 + 725*b8589 + 0.073566*
    b8589^2 + 0.112679*b8589*b8590 + 991*b8590 + 0.2253585*b8590^2 + 0.0720425*
    b8590*b8591 + 372*b8591 + 0.1440845*b8591^2 + 0.1465585*b8591*b8592 + 616*
    b8592 + 0.293117*b8592^2 + 0.032883*b8592*b8593 + 311*b8593 + 0.065766*
    b8593*b8593 + 0.107066*b8593*b8594 + 567*b8594 + 0.2141315*b8594^2 + 
    0.01886025*b8594*b8595 + 312*b8595 + 0.0377205*b8595^2 + 0.212992*b8595*
    b8596 + 509*b8596 + 0.425984*b8596^2 + 0.140304*b8596*b8597 + 483*b8597 + 
    0.2806085*b8597^2 + 0.03527275*b8597*b8598 + 429*b8598 + 0.0705455*b8598^2
     + 0.181618*b8598*b8599 + 644*b8599 + 0.363236*b8599*b8599 + 0.1611505*
    b8599*b8600 + 277*b8600 + 0.322301*b8600^2 + 0.069589*b8600*b8601 + 580*
    b8601 + 0.139178*b8601^2 + 0.1777345*b8601*b8602 + 530*b8602 + 0.355469*
    b8602^2 + 0.124524*b8602*b8603 + 823*b8603 + 0.2490475*b8603^2 + 0.2267085*
    b8603*b8604 + 247*b8604 + 0.4534175*b8604^2 + 0.121583*b8604*b8605 + 498*
    b8605 + 0.243166*b8605*b8605 + 0.0216975*b8605*b8606 + 449*b8606 + 0.043395
    *b8606^2 + 0.069694*b8606*b8607 + 253*b8607 + 0.139388*b8607^2 + 0.04434625
    *b8607*b8608 + 859*b8608 + 0.0886925*b8608^2 + 0.1029865*b8608*b8609 + 1280
    *b8609 + 0.2059725*b8609^2 + 0.054142*b8609*b8610 + 666*b8610 + 0.108284*
    b8610^2 + 0.170136*b8610*b8611 + 668*b8611 + 0.3402725*b8611*b8611 + 
    0.0379145*b8611*b8612 + 502*b8612 + 0.075829*b8612^2 + 0.040082*b8612*b8613
     + 799*b8613 + 0.080164*b8613^2 + 0.2357335*b8613*b8614 + 535*b8614 + 
    0.4714675*b8614^2 + 0.225477*b8614*b8615 + 766*b8615 + 0.4509545*b8615^2 + 
    0.2111415*b8615*b8616 + 193*b8616 + 0.422283*b8616^2 + 0.181184*b8616*b8617
     + 609*b8617 + 0.3623685*b8617*b8617 + 0.1713425*b8617*b8618 + 1368*b8618
     + 0.342685*b8618^2 + 0.1722635*b8618*b8619 + 716*b8619 + 0.3445265*b8619^2
     + 0.0682615*b8619*b8620 + 517*b8620 + 0.1365235*b8620^2 + 0.194917*b8620*
    b8621 + 224*b8621 + 0.3898345*b8621^2 + 0.2087885*b8621*b8622 + 611*b8622
     + 0.417577*b8622^2 + 0.1475375*b8622*b8623 + 1491*b8623 + 0.2950755*b8623^
    2 + 0.21702*b8623*b8624 + 573*b8624 + 0.43404*b8624^2 + 0.216743*b8624*
    b8625 + 269*b8625 + 0.433486*b8625^2 + 0.153708*b8625*b8626 + 960*b8626 + 
    0.307416*b8626^2 + 0.1085275*b8626*b8627 + 261*b8627 + 0.217055*b8627^2 + 
    0.2470015*b8627*b8628 + 483*b8628 + 0.4940025*b8628^2 + 0.2177725*b8628*
    b8629 + 439*b8629 + 0.4355455*b8629^2 + 0.1636775*b8629*b8630 + 248*b8630
     + 0.327355*b8630^2 + 0.03495525*b8630*b8631 + 855*b8631 + 0.0699105*b8631^
    2 + 0.246066*b8631*b8632 + 442*b8632 + 0.4921325*b8632^2 + 0.0393025*b8632*
    b8633 + 730*b8633 + 0.078605*b8633^2 + 0.1078855*b8633*b8634 + 580*b8634 + 
    0.2157705*b8634^2 + 0.0101236*b8634*b8635 + 302*b8635 + 0.0202472*b8635^2
     + 0.0233822*b8635*b8636 + 778*b8636 + 0.04676435*b8636^2 + 0.0624695*b8636
    *b8637 + 368*b8637 + 0.124939*b8637^2 + 0.2072085*b8637*b8638 + 1005*b8638
     + 0.4144175*b8638^2 + 0.248512*b8638*b8639 + 462*b8639 + 0.497024*b8639^2
     + 0.0976775*b8639*b8640 + 401*b8640 + 0.195355*b8640^2 + 0.04813975*b8640*
    b8641 + 416*b8641 + 0.0962795*b8641^2 + 0.1235525*b8641*b8642 + 613*b8642
     + 0.247105*b8642^2 + 0.2356305*b8642*b8643 + 82*b8643 + 0.471261*b8643^2
     + 0.0732045*b8643*b8644 + 591*b8644 + 0.1464095*b8644^2 + 0.136778*b8644*
    b8645 + 639*b8645 + 0.2735555*b8645^2 + 0.02519625*b8645*b8646 + 235*b8646
     + 0.0503925*b8646^2 + 0.102989*b8646*b8647 + 581*b8647 + 0.205978*b8647*
    b8647 + 0.0541265*b8647*b8648 + 815*b8648 + 0.1082525*b8648^2 + 0.192612*
    b8648*b8649 + 124*b8649 + 0.385224*b8649^2 + 0.171176*b8649*b8650 + 252*
    b8650 + 0.342352*b8650^2 + 0.01697105*b8650*b8651 + 463*b8651 + 0.03394205*
    b8651^2 + 0.03367325*b8651*b8652 + 466*b8652 + 0.0673465*b8652^2 + 
    0.1494745*b8652*b8653 + 417*b8653 + 0.298949*b8653*b8653 + 0.2364905*b8653*
    b8654 + 454*b8654 + 0.4729815*b8654^2 + 0.0455055*b8654*b8655 + 1262*b8655
     + 0.091011*b8655^2 + 0.026852*b8655*b8656 + 504*b8656 + 0.053704*b8656^2
     + 0.1206065*b8656*b8657 + 427*b8657 + 0.241213*b8657^2 + 0.01793495*b8657*
    b8658 + 858*b8658 + 0.03586995*b8658^2 + 0.220451*b8658*b8659 + 675*b8659
     + 0.440902*b8659*b8659 + 0.1789285*b8659*b8660 + 498*b8660 + 0.357857*
    b8660^2 + 0.188685*b8660*b8661 + 642*b8661 + 0.37737*b8661^2 + 0.24624*
    b8661*b8662 + 669*b8662 + 0.4924805*b8662^2 + 0.04840075*b8662*b8663 + 768*
    b8663 + 0.0968015*b8663^2 + 0.015772*b8663*b8664 + 505*b8664 + 0.031544*
    b8664^2 + 0.027958*b8664*b8665 + 638*b8665 + 0.055916*b8665*b8665 + 
    0.1465665*b8665*b8666 + 429*b8666 + 0.293133*b8666^2 + 0.059265*b8666*b8667
     + 951*b8667 + 0.1185305*b8667^2 + 0.2175415*b8667*b8668 + 438*b8668 + 
    0.435083*b8668^2 + 0.102508*b8668*b8669 + 642*b8669 + 0.205016*b8669^2 + 
    0.03574725*b8669*b8670 + 219*b8670 + 0.0714945*b8670^2 + 0.23545*b8670*
    b8671 + 619*b8671 + 0.4708995*b8671*b8671 + 0.168556*b8671*b8672 + 380*
    b8672 + 0.3371115*b8672^2 + 0.1336495*b8672*b8673 + 562*b8673 + 0.267299*
    b8673^2 + 0.249582*b8673*b8674 + 754*b8674 + 0.499164*b8674^2 + 0.084492*
    b8674*b8675 + 161*b8675 + 0.168984*b8675^2 + 0.2326285*b8675*b8676 + 612*
    b8676 + 0.4652565*b8676^2 + 0.214945*b8676*b8677 + 209*b8677 + 0.42989*
    b8677*b8677 + 0.207599*b8677*b8678 + 245*b8678 + 0.415198*b8678^2 + 
    0.04112575*b8678*b8679 + 585*b8679 + 0.0822515*b8679^2 + 0.03361175*b8679*
    b8680 + 618*b8680 + 0.0672235*b8680^2 + 0.0230826*b8680*b8681 + 338*b8681
     + 0.0461652*b8681^2 + 0.198034*b8681*b8682 + 391*b8682 + 0.3960675*b8682^2
     + 0.150696*b8682*b8683 + 395*b8683 + 0.301392*b8683*b8683 + 0.075402*b8683
    *b8684 + 846*b8684 + 0.1508035*b8684^2 + 0.102464*b8684*b8685 + 644*b8685
     + 0.2049275*b8685^2 + 0.1072895*b8685*b8686 + 613*b8686 + 0.214579*b8686^2
     + 0.089044*b8686*b8687 + 361*b8687 + 0.1780875*b8687^2 + 0.003180175*b8687
    *b8688 + 215*b8688 + 0.00636035*b8688^2 + 0.0409095*b8688*b8689 + 667*b8689
     + 0.081819*b8689^2 + 0.10552*b8689*b8690 + 456*b8690 + 0.21104*b8690^2 + 
    0.1399545*b8690*b8691 + 658*b8691 + 0.2799085*b8691^2 + 0.071887*b8691*
    b8692 + 708*b8692 + 0.143774*b8692^2 + 0.180296*b8692*b8693 + 829*b8693 + 
    0.3605915*b8693^2 + 0.1246745*b8693*b8694 + 616*b8694 + 0.249349*b8694^2 + 
    0.166501*b8694*b8695 + 408*b8695 + 0.333002*b8695*b8695 + 0.2003145*b8695*
    b8696 + 692*b8696 + 0.400629*b8696^2 + 0.0811365*b8696*b8697 + 305*b8697 + 
    0.1622735*b8697^2 + 0.111681*b8697*b8698 + 845*b8698 + 0.223362*b8698^2 + 
    0.193792*b8698*b8699 + 500*b8699 + 0.3875845*b8699^2 + 0.077285*b8699*b8700
     + 533*b8700 + 0.15457*b8700^2 + 0.092995*b8700*b8701 + 1077*b8701 + 
    0.1859895*b8701^2 + 0.2081135*b8701*b8702 + 275*b8702 + 0.416227*b8702^2 + 
    0.165973*b8702*b8703 + 57*b8703 + 0.331946*b8703^2 + 0.1712595*b8703*b8704
     + 673*b8704 + 0.3425195*b8704^2 + 0.1383725*b8704*b8705 + 248*b8705 + 
    0.276745*b8705^2 + 0.0011646*b8705*b8706 + 946*b8706 + 0.0023292*b8706*
    b8706 + 0.04484775*b8706*b8707 + 566*b8707 + 0.0896955*b8707^2 + 0.218018*
    b8707*b8708 + 1269*b8708 + 0.4360365*b8708^2 + 0.0983065*b8708*b8709 + 285*
    b8709 + 0.196613*b8709^2 + 0.1188315*b8709*b8710 + 443*b8710 + 0.2376635*
    b8710^2 + 0.236965*b8710*b8711 + 639*b8711 + 0.4739305*b8711^2 + 0.1963595*
    b8711*b8712 + 867*b8712 + 0.3927185*b8712^2 + 0.068088*b8712*b8713 + 679*
    b8713 + 0.136176*b8713^2 + 0.111715*b8713*b8714 + 663*b8714 + 0.2234295*
    b8714^2 + 0.2056525*b8714*b8715 + 257*b8715 + 0.4113055*b8715^2 + 0.2255735
    *b8715*b8716 + 433*b8716 + 0.451147*b8716^2 + 0.004374725*b8716*b8717 + 929
    *b8717 + 0.00874945*b8717^2 + 0.166922*b8717*b8718 + 953*b8718 + 0.3338445*
    b8718^2 + 0.0484195*b8718*b8719 + 656*b8719 + 0.096839*b8719^2 + 0.1576035*
    b8719*b8720 + 678*b8720 + 0.3152075*b8720^2 + 0.1750415*b8720*b8721 + 459*
    b8721 + 0.3500835*b8721^2 + 0.0602805*b8721*b8722 + 705*b8722 + 0.1205605*
    b8722^2 + 0.2078965*b8722*b8723 + 472*b8723 + 0.415793*b8723^2 + 0.1862165*
    b8723*b8724 + 1136*b8724 + 0.372433*b8724*b8724 + 0.0847965*b8724*b8725 + 
    412*b8725 + 0.169593*b8725^2 + 0.1211795*b8725*b8726 + 262*b8726 + 0.242359
    *b8726^2 + 0.1507845*b8726*b8727 + 715*b8727 + 0.3015685*b8727^2 + 
    0.0134752*b8727*b8728 + 282*b8728 + 0.0269504*b8728^2 + 0.169503*b8728*
    b8729 + 431*b8729 + 0.3390055*b8729^2 + 0.248954*b8729*b8730 + 420*b8730 + 
    0.4979075*b8730*b8730 + 0.073375*b8730*b8731 + 612*b8731 + 0.1467495*b8731^
    2 + 0.108231*b8731*b8732 + 726*b8732 + 0.216462*b8732^2 + 0.211052*b8732*
    b8733 + 351*b8733 + 0.4221035*b8733^2 + 0.164885*b8733*b8734 + 739*b8734 + 
    0.32977*b8734^2 + 0.0203609*b8734*b8735 + 454*b8735 + 0.04072185*b8735^2 + 
    0.0083477*b8735*b8736 + 233*b8736 + 0.0166954*b8736^2 + 0.0857785*b8736*
    b8737 + 866*b8737 + 0.171557*b8737^2 + 0.085548*b8737*b8738 + 1030*b8738 + 
    0.171096*b8738^2 + 0.1874185*b8738*b8739 + 397*b8739 + 0.3748375*b8739^2 + 
    0.01070395*b8739*b8740 + 443*b8740 + 0.02140795*b8740^2 + 0.1684845*b8740*
    b8741 + 708*b8741 + 0.336969*b8741^2 + 0.0850195*b8741*b8742 + 460*b8742 + 
    0.170039*b8742*b8742 + 0.079023*b8742*b8743 + 556*b8743 + 0.158046*b8743^2
     + 0.097161*b8743*b8744 + 392*b8744 + 0.1943215*b8744^2 + 0.056391*b8744*
    b8745 + 836*b8745 + 0.1127825*b8745^2 + 0.02224745*b8745*b8746 + 350*b8746
     + 0.04449495*b8746^2 + 0.171859*b8746*b8747 + 671*b8747 + 0.3437175*b8747^
    2 + 0.1940445*b8747*b8748 + 269*b8748 + 0.3880895*b8748^2 + 0.1001535*b8748
    *b8749 + 350*b8749 + 0.200307*b8749^2 + 0.060941*b8749*b8750 + 512*b8750 + 
    0.1218815*b8750^2 + 0.08989*b8750*b8751 + 1072*b8751 + 0.17978*b8751^2 + 
    0.1209915*b8751*b8752 + 526*b8752 + 0.241983*b8752^2 + 0.1148215*b8752*
    b8753 + 432*b8753 + 0.229643*b8753^2 + 0.0946135*b8753*b8754 + 519*b8754 + 
    0.189227*b8754^2 + 0.1716825*b8754*b8755 + 1038*b8755 + 0.3433655*b8755^2
     + 0.1188345*b8755*b8756 + 1091*b8756 + 0.237669*b8756^2 + 0.191436*b8756*
    b8757 + 537*b8757 + 0.382872*b8757^2 + 0.01334495*b8757*b8758 + 514*b8758
     + 0.0266899*b8758^2 + 0.1843295*b8758*b8759 + 666*b8759 + 0.368659*b8759^2
     + 0.2210045*b8759*b8760 + 534*b8760 + 0.442009*b8760^2 + 0.055512*b8760*
    b8761 + 434*b8761 + 0.111024*b8761^2 + 0.2326345*b8761*b8762 + 501*b8762 + 
    0.465269*b8762^2 + 0.1390715*b8762*b8763 + 796*b8763 + 0.278143*b8763^2 + 
    0.1921605*b8763*b8764 + 264*b8764 + 0.3843205*b8764*b8764 + 0.149807*b8764*
    b8765 + 529*b8765 + 0.299614*b8765^2 + 0.0575515*b8765*b8766 + 469*b8766 + 
    0.1151035*b8766^2 + 0.1657135*b8766*b8767 + 1052*b8767 + 0.3314265*b8767^2
     + 0.1831995*b8767*b8768 + 826*b8768 + 0.366399*b8768^2 + 0.02533325*b8768*
    b8769 + 705*b8769 + 0.0506665*b8769^2 + 0.06752*b8769*b8770 + 397*b8770 + 
    0.13504*b8770*b8770 + 0.200861*b8770*b8771 + 1095*b8771 + 0.4017215*b8771^2
     + 0.0999755*b8771*b8772 + 695*b8772 + 0.1999505*b8772^2 + 0.0482195*b8772*
    b8773 + 449*b8773 + 0.096439*b8773^2 + 0.1861125*b8773*b8774 + 618*b8774 + 
    0.3722255*b8774^2 + 0.196732*b8774*b8775 + 430*b8775 + 0.393464*b8775^2 + 
    0.190322*b8775*b8776 + 364*b8776 + 0.3806435*b8776*b8776 + 0.202595*b8776*
    b8777 + 64*b8777 + 0.40519*b8777^2 + 0.188005*b8777*b8778 + 545*b8778 + 
    0.37601*b8778^2 + 0.119194*b8778*b8779 + 789*b8779 + 0.2383875*b8779^2 + 
    0.116297*b8779*b8780 + 494*b8780 + 0.2325935*b8780^2 + 0.0627295*b8780*
    b8781 + 520*b8781 + 0.1254585*b8781^2 + 0.01762005*b8781*b8782 + 1045*b8782
     + 0.0352401*b8782^2 + 0.0991215*b8782*b8783 + 396*b8783 + 0.1982435*b8783^
    2 + 0.062359*b8783*b8784 + 383*b8784 + 0.1247185*b8784^2 + 0.0167368*b8784*
    b8785 + 537*b8785 + 0.0334736*b8785^2 + 0.002102075*b8785*b8786 + 651*b8786
     + 0.00420415*b8786^2 + 0.01063415*b8786*b8787 + 225*b8787 + 0.02126835*
    b8787^2 + 0.0004855525*b8787*b8788 + 71*b8788 + 0.000971105*b8788*b8788 + 
    0.050764*b8788*b8789 + 687*b8789 + 0.101528*b8789^2 + 0.2377575*b8789*b8790
     + 898*b8790 + 0.4755155*b8790^2 + 0.075205*b8790*b8791 + 275*b8791 + 
    0.15041*b8791^2 + 0.087854*b8791*b8792 + 583*b8792 + 0.175708*b8792^2 + 
    0.00133266*b8792*b8793 + 437*b8793 + 0.002665315*b8793^2 + 0.0268975*b8793*
    b8794 + 705*b8794 + 0.053795*b8794^2 + 0.095113*b8794*b8795 + 234*b8795 + 
    0.190226*b8795^2 + 0.0693715*b8795*b8796 + 630*b8796 + 0.1387435*b8796^2 + 
    0.0841615*b8796*b8797 + 218*b8797 + 0.168323*b8797^2 + 0.113943*b8797*b8798
     + 774*b8798 + 0.2278865*b8798^2 + 0.0968215*b8798*b8799 + 354*b8799 + 
    0.193643*b8799^2 + 0.057537*b8799*b8800 + 638*b8800 + 0.1150745*b8800*b8800
     + 0.0211173*b8800*b8801 + 740*b8801 + 0.0422346*b8801^2 + 0.0535015*b8801*
    b8802 + 707*b8802 + 0.107003*b8802^2 + 0.0896305*b8802*b8803 + 243*b8803 + 
    0.179261*b8803^2 + 0.1619345*b8803*b8804 + 56*b8804 + 0.323869*b8804^2 + 
    0.182095*b8804*b8805 + 197*b8805 + 0.3641905*b8805^2 + 0.1649855*b8805*
    b8806 + 550*b8806 + 0.329971*b8806*b8806 + 0.159872*b8806*b8807 + 622*b8807
     + 0.319744*b8807^2 + 0.05106*b8807*b8808 + 428*b8808 + 0.1021195*b8808^2
     + 0.0241571*b8808*b8809 + 1723*b8809 + 0.04831415*b8809^2 + 0.160171*b8809
    *b8810 + 538*b8810 + 0.320342*b8810^2 + 0.1599135*b8810*b8811 + 874*b8811
     + 0.3198265*b8811^2 + 0.0868985*b8811*b8812 + 299*b8812 + 0.173797*b8812^2
     + 0.025033*b8812*b8813 + 239*b8813 + 0.050066*b8813^2 + 0.08502*b8813*
    b8814 + 306*b8814 + 0.1700395*b8814^2 + 0.098874*b8814*b8815 + 411*b8815 + 
    0.197748*b8815^2 + 0.002444935*b8815*b8816 + 282*b8816 + 0.00488987*b8816^2
     + 0.2482805*b8816*b8817 + 906*b8817 + 0.496561*b8817^2 + 0.132969*b8817*
    b8818 + 755*b8818 + 0.265938*b8818^2 + 0.2426385*b8818*b8819 + 591*b8819 + 
    0.4852775*b8819^2 + 0.087469*b8819*b8820 + 398*b8820 + 0.1749385*b8820^2 + 
    0.03510675*b8820*b8821 + 635*b8821 + 0.0702135*b8821^2 + 0.183555*b8821*
    b8822 + 35*b8822 + 0.36711*b8822^2 + 0.197032*b8822*b8823 + 36*b8823 + 
    0.3940635*b8823^2 + 0.1113745*b8823*b8824 + 948*b8824 + 0.222749*b8824^2 + 
    0.214352*b8824*b8825 + 867*b8825 + 0.428704*b8825^2 + 0.04917325*b8825*
    b8826 + 1116*b8826 + 0.0983465*b8826^2 + 0.04650175*b8826*b8827 + 423*b8827
     + 0.0930035*b8827^2 + 0.080412*b8827*b8828 + 1862*b8828 + 0.160824*b8828*
    b8828 + 0.0612865*b8828*b8829 + 264*b8829 + 0.122573*b8829^2 + 0.1821625*
    b8829*b8830 + 1050*b8830 + 0.364325*b8830^2 + 0.216494*b8830*b8831 + 499*
    b8831 + 0.4329875*b8831^2 + 0.2248335*b8831*b8832 + 591*b8832 + 0.4496665*
    b8832^2 + 0.090446*b8832*b8833 + 774*b8833 + 0.180892*b8833^2 + 0.1479245*
    b8833*b8834 + 910*b8834 + 0.2958485*b8834*b8834 + 0.1618845*b8834*b8835 + 
    779*b8835 + 0.3237685*b8835^2 + 0.112132*b8835*b8836 + 400*b8836 + 0.224264
    *b8836^2 + 0.245864*b8836*b8837 + 552*b8837 + 0.491728*b8837^2 + 0.2441815*
    b8837*b8838 + 704*b8838 + 0.488363*b8838^2 + 0.050181*b8838*b8839 + 602*
    b8839 + 0.1003625*b8839^2 + 0.161169*b8839*b8840 + 272*b8840 + 0.322338*
    b8840*b8840 + 0.163489*b8840*b8841 + 427*b8841 + 0.326978*b8841^2 + 
    0.102266*b8841*b8842 + 334*b8842 + 0.204532*b8842^2 + 0.0743065*b8842*b8843
     + 602*b8843 + 0.1486125*b8843^2 + 0.0697415*b8843*b8844 + 392*b8844 + 
    0.139483*b8844^2 + 0.1480125*b8844*b8845 + 515*b8845 + 0.2960245*b8845*
    b8845 + 0.001125045*b8845*b8846 + 480*b8846 + 0.002250085*b8846^2 + 
    0.132505*b8846*b8847 + 681*b8847 + 0.2650105*b8847^2 + 0.2383115*b8847*
    b8848 + 457*b8848 + 0.4766225*b8848^2 + 0.212741*b8848*b8849 + 247*b8849 + 
    0.4254815*b8849^2 + 0.1815395*b8849*b8850 + 451*b8850 + 0.3630785*b8850^2
     + 0.241053*b8850*b8851 + 452*b8851 + 0.482106*b8851*b8851 + 0.1753775*
    b8851*b8852 + 430*b8852 + 0.3507545*b8852^2 + 0.0493765*b8852*b8853 + 246*
    b8853 + 0.098753*b8853^2 + 0.02876325*b8853*b8854 + 245*b8854 + 0.0575265*
    b8854^2 + 0.054187*b8854*b8855 + 574*b8855 + 0.108374*b8855^2 + 0.2266075*
    b8855*b8856 + 240*b8856 + 0.453215*b8856^2 + 0.211622*b8856*b8857 + 215*
    b8857 + 0.423244*b8857*b8857 + 0.092688*b8857*b8858 + 264*b8858 + 0.1853765
    *b8858^2 + 0.003152625*b8858*b8859 + 586*b8859 + 0.00630525*b8859^2 + 
    0.0921495*b8859*b8860 + 571*b8860 + 0.184299*b8860^2 + 0.144863*b8860*b8861
     + 490*b8861 + 0.289726*b8861^2 + 0.1998425*b8861*b8862 + 352*b8862 + 
    0.399685*b8862^2 + 0.1985935*b8862*b8863 + 628*b8863 + 0.397187*b8863*b8863
     + 0.1734505*b8863*b8864 + 521*b8864 + 0.3469015*b8864^2 + 0.2002335*b8864*
    b8865 + 245*b8865 + 0.4004665*b8865^2 + 0.149331*b8865*b8866 + 77*b8866 + 
    0.2986625*b8866^2 + 0.1760945*b8866*b8867 + 618*b8867 + 0.3521885*b8867^2
     + 0.2425675*b8867*b8868 + 787*b8868 + 0.485135*b8868^2 + 0.040768*b8868*
    b8869 + 670*b8869 + 0.081536*b8869*b8869 + 0.074563*b8869*b8870 + 610*b8870
     + 0.149126*b8870^2 + 0.18776*b8870*b8871 + 606*b8871 + 0.37552*b8871^2 + 
    0.0254345*b8871*b8872 + 240*b8872 + 0.050869*b8872^2 + 0.067214*b8872*b8873
     + 1821*b8873 + 0.134428*b8873^2 + 0.22484*b8873*b8874 + 589*b8874 + 
    0.4496795*b8874*b8874 + 0.246615*b8874*b8875 + 714*b8875 + 0.49323*b8875^2
     + 0.117594*b8875*b8876 + 278*b8876 + 0.235188*b8876^2 + 0.063045*b8876*
    b8877 + 460*b8877 + 0.1260905*b8877^2 + 0.211035*b8877*b8878 + 436*b8878 + 
    0.42207*b8878^2 + 0.0052566*b8878*b8879 + 760*b8879 + 0.01051315*b8879*
    b8879 + 0.0946805*b8879*b8880 + 1002*b8880 + 0.1893615*b8880^2 + 0.079538*
    b8880*b8881 + 706*b8881 + 0.159076*b8881^2 + 0.166836*b8881*b8882 + 573*
    b8882 + 0.333672*b8882^2 + 0.144064*b8882*b8883 + 695*b8883 + 0.288128*
    b8883^2 + 0.057912*b8883*b8884 + 426*b8884 + 0.115824*b8884^2 + 0.1528125*
    b8884*b8885 + 484*b8885 + 0.3056245*b8885^2 + 0.1226935*b8885*b8886 + 483*
    b8886 + 0.245387*b8886^2 + 0.0130381*b8886*b8887 + 612*b8887 + 0.0260762*
    b8887^2 + 0.1057675*b8887*b8888 + 433*b8888 + 0.2115355*b8888^2 + 0.2491695
    *b8888*b8889 + 483*b8889 + 0.498339*b8889^2 + 0.0857385*b8889*b8890 + 688*
    b8890 + 0.1714765*b8890*b8890 + 0.157822*b8890*b8891 + 454*b8891 + 0.315644
    *b8891^2 + 0.116889*b8891*b8892 + 504*b8892 + 0.233778*b8892^2 + 0.04900975
    *b8892*b8893 + 486*b8893 + 0.0980195*b8893^2 + 0.083518*b8893*b8894 + 580*
    b8894 + 0.1670355*b8894^2 + 0.1699565*b8894*b8895 + 71*b8895 + 0.339913*
    b8895^2 + 0.135943*b8895*b8896 + 982*b8896 + 0.2718865*b8896*b8896 + 
    0.02559775*b8896*b8897 + 664*b8897 + 0.0511955*b8897^2 + 0.01365135*b8897*
    b8898 + 529*b8898 + 0.02730265*b8898^2 + 0.1654575*b8898*b8899 + 785*b8899
     + 0.330915*b8899^2 + 0.0347395*b8899*b8900 + 384*b8900 + 0.069479*b8900^2
     + 0.01631955*b8900*b8901 + 262*b8901 + 0.03263915*b8901^2 + 0.1546175*
    b8901*b8902 + 455*b8902 + 0.3092345*b8902^2 + 0.1336035*b8902*b8903 + 497*
    b8903 + 0.2672065*b8903^2 + 0.2298855*b8903*b8904 + 596*b8904 + 0.4597705*
    b8904^2 + 0.1135365*b8904*b8905 + 390*b8905 + 0.2270725*b8905^2;

subject to

e2:    b546 + b561 + b597 + b962 + b1043 + b1360 + b1537 + b2038 + b2133
     + b3207 + b3488 + b5006 + b5011 + b5012 + b5082 + b5404 + b5703 + b6431
     + b6576 + b6639 + b7733 + b7816 + b8041 + b8653 + b8688 + b8795 = 1;

e3:    b150 + b166 + b546 + b611 + b1179 + b1360 + b1626 + b1652 + b2289
     + b2320 + b2587 + b2852 + b2916 + b3411 + b3548 + b3682 + b4072 + b4326
     + b4624 + b4625 + b5006 + b5011 + b5078 + b5082 + b5703 + b5997 + b6229
     + b7019 + b7252 + b7302 + b7672 + b8041 + b8221 = 1;

e4:    b546 + b1360 + b1537 + b1652 + b2320 + b3682 + b4072 + b5011 + b5012
     + b5082 + b5703 + b7252 + b7672 + b8221 = 1;

e5:    b962 + b1179 + b1360 + b1537 + b1652 + b2048 + b2774 + b2789 + b3263
     + b3411 + b3533 + b3682 + b4326 + b5715 + b6431 + b7252 + b8221 = 1;

e6:    b962 + b1360 + b1537 + b1652 + b2774 + b2789 + b3263 + b3533 + b5715
     + b6431 + b7252 + b8221 = 1;

e7:    b597 + b947 + b962 + b1043 + b1118 + b1333 + b1360 + b1537 + b2038
     + b2133 + b2847 + b3207 + b3263 + b3352 + b3378 + b3533 + b3632 + b3635
     + b4332 + b5011 + b5082 + b5404 + b5567 + b5703 + b5715 + b5751 + b5925
     + b6431 + b6576 + b6639 + b7252 + b7733 + b7936 + b8041 + b8653 + b8688
     + b8795 + b8860 = 1;

e8:    b166 + b291 + b1126 + b1179 + b1333 + b1446 + b1497 + b2203 + b2465
     + b3022 + b3322 + b3393 + b3535 + b3632 + b3754 + b3793 + b4725 + b4983
     + b5694 + b5715 + b6973 + b6974 + b7798 + b7911 + b7936 + b8016 + b8029
     + b8071 + b8148 = 1;

e9:    b291 + b1126 + b2203 + b3022 + b3488 + b3754 + b4326 + b4983 + b5715
     + b6973 + b6974 + b7911 + b7936 + b8071 = 1;

e10:    b291 + b1126 + b2203 + b3022 + b3488 + b3754 + b4326 + b4983 + b5715
      + b6973 + b6974 + b7911 + b7936 + b8071 = 1;

e11:    b291 + b546 + b561 + b1126 + b1179 + b1330 + b1446 + b1497 + b1547
      + b1572 + b2203 + b2465 + b3022 + b3373 + b3393 + b3488 + b3535 + b3754
      + b3793 + b4725 + b4931 + b4983 + b5006 + b5012 + b5694 + b5976 + b6973
      + b6974 + b7763 + b7798 + b7816 + b7911 + b8029 + b8071 + b8148 = 1;

e12:    b15 + b18 + b63 + b156 + b381 + b454 + b515 + b576 + b777 + b793 + b854
      + b1146 + b1177 + b1291 + b1377 + b1468 + b1505 + b1549 + b1665 + b1687
      + b1863 + b1867 + b2160 + b2190 + b2369 + b2391 + b2471 + b2541 + b2694
      + b2751 + b2775 + b2821 + b2833 + b2848 + b2910 + b2965 + b3093 + b3264
      + b3278 + b3327 + b3373 + b3509 + b3651 + b3735 + b3799 + b3891 + b4093
      + b4163 + b4423 + b4436 + b4438 + b4581 + b4646 + b4813 + b4850 + b4903
      + b4931 + b4973 + b5177 + b5309 + b5363 + b5407 + b5438 + b5517 + b5542
      + b5552 + b5575 + b5684 + b5695 + b5704 + b5941 + b5969 + b6055 + b6065
      + b6106 + b6213 + b6333 + b6355 + b6544 + b6633 + b6688 + b6693 + b6714
      + b6836 + b6911 + b7087 + b7109 + b7216 + b7241 + b7267 + b7298 + b7391
      + b7471 + b7584 + b7617 + b7719 + b7766 + b7890 + b7960 + b8007 + b8398
      + b8426 + b8450 + b8526 + b8527 + b8535 + b8598 + b8900 = 1;

e13:    b63 + b633 + b793 + b1377 + b1383 + b1457 + b2673 + b2751 + b3192
      + b3495 + b3651 + b3735 + b4067 + b4113 + b4175 + b4492 + b4502 + b4646
      + b4678 + b4806 + b4870 + b4903 + b5001 + b5830 + b6208 + b6244 + b6311
      + b6339 + b6757 + b6850 + b7098 + b7118 + b7195 + b7601 + b7737 + b7960
      + b7976 + b8016 + b8065 + b8570 = 1;

e14:    b63 + b633 + b793 + b1377 + b1383 + b1457 + b2673 + b2751 + b3192
      + b3485 + b3495 + b3651 + b3735 + b4067 + b4103 + b4175 + b4492 + b4502
      + b4646 + b4678 + b4806 + b4870 + b4903 + b5001 + b5478 + b5830 + b6208
      + b6244 + b6311 + b6339 + b6850 + b7079 + b7098 + b7118 + b7195 + b7601
      + b7737 + b7960 + b7976 + b8016 + b8065 + b8570 = 1;

e15:    b576 + b1377 + b1780 + b1781 + b1788 + b2277 + b2674 + b2751 + b2910
      + b3136 + b3485 + b4033 + b4468 + b4492 + b4502 + b4516 + b4806 + b4916
      + b5056 + b5261 + b5478 + b5684 + b6208 + b6213 + b6850 + b7079 + b8016
      + b8076 + b8420 = 1;

e16:    b576 + b1017 + b1377 + b1780 + b1781 + b1788 + b2277 + b2674 + b2751
      + b2910 + b3136 + b3274 + b3485 + b4033 + b4468 + b4492 + b4502 + b4516
      + b4806 + b4916 + b5056 + b5261 + b5478 + b5684 + b6208 + b6213 + b6305
      + b6354 + b6850 + b7079 + b8016 + b8076 + b8420 = 1;

e17:    b15 + b18 + b63 + b156 + b381 + b454 + b515 + b538 + b576 + b777 + b793
      + b854 + b1146 + b1177 + b1291 + b1377 + b1446 + b1468 + b1505 + b1549
      + b1658 + b1665 + b1687 + b1863 + b1867 + b1994 + b2011 + b2160 + b2190
      + b2369 + b2391 + b2471 + b2541 + b2694 + b2721 + b2775 + b2821 + b2833
      + b2848 + b2910 + b2965 + b3093 + b3264 + b3278 + b3327 + b3373 + b3509
      + b3651 + b3735 + b3799 + b3891 + b4093 + b4383 + b4423 + b4436 + b4438
      + b4484 + b4581 + b4813 + b4850 + b4903 + b4931 + b4973 + b4983 + b5177
      + b5309 + b5363 + b5407 + b5517 + b5542 + b5552 + b5563 + b5575 + b5653
      + b5684 + b5695 + b5704 + b5758 + b5941 + b5969 + b6055 + b6065 + b6106
      + b6213 + b6333 + b6355 + b6435 + b6544 + b6633 + b6688 + b6693 + b6714
      + b6836 + b6911 + b7087 + b7109 + b7169 + b7184 + b7216 + b7241 + b7267
      + b7298 + b7391 + b7471 + b7584 + b7617 + b7719 + b7766 + b7890 + b7960
      + b8007 + b8016 + b8398 + b8426 + b8450 + b8526 + b8527 + b8535 + b8598
      + b8804 + b8900 = 1;

e18:    b538 + b947 + b1031 + b2847 + b3263 + b3378 + b3533 + b3635 + b4078
      + b4332 + b4383 + b4484 + b5041 + b5567 + b5653 + b5925 + b6272 + b6350
      + b6444 + b7169 + b7252 + b7763 + b8026 + b8526 + b8627 + b8804 + b8860
      = 1;

e19:    b2042 + b6444 = 1;

e20:    b6444 + b8627 = 1;

e21:    b1031 + b3322 + b3819 + b4078 + b4163 + b5041 + b5438 + b6272 + b6350
      + b6444 + b8026 + b8526 + b8627 = 1;

e22:    b2250 + b6672 + b6706 + b7045 + b8207 + b8340 + b8707 = 1;

e23:    b925 + b1654 + b1739 + b1866 + b3124 + b3426 + b3846 + b3926 + b4252
      + b4641 + b5323 + b6024 + b6349 + b6452 + b7045 + b7550 + b7585 + b8231
      + b8541 + b8554 + b8707 = 1;

e24:    b4032 + b4039 + b4388 + b5488 + b6207 + b7045 + b8231 + b8707 = 1;

e25:    b925 + b1190 + b1590 + b2250 + b3131 + b3235 + b3410 + b3484 + b4027
      + b4032 + b4039 + b4081 + b4288 + b4363 + b4388 + b4470 + b4509 + b4829
      + b5376 + b5965 + b6197 + b6207 + b6672 + b6706 + b7045 + b7595 + b7597
      + b8207 + b8231 + b8707 = 1;

e26:    b22 + b56 + b115 + b162 + b286 + b385 + b464 + b526 + b552 + b632
      + b647 + b810 + b812 + b865 + b873 + b901 + b902 + b912 + b1082 + b1173
      + b1180 + b1192 + b1244 + b1258 + b1361 + b1372 + b1379 + b1548 + b1758
      + b1764 + b1990 + b2092 + b2102 + b2164 + b2172 + b2279 + b2309 + b2351
      + b2488 + b2557 + b2561 + b2618 + b2675 + b2695 + b2791 + b2870 + b2987
      + b3010 + b3035 + b3084 + b3094 + b3138 + b3147 + b3164 + b3402 + b3412
      + b3422 + b3461 + b3478 + b3527 + b3608 + b3680 + b3826 + b3860 + b3864
      + b3902 + b3918 + b4087 + b4185 + b4257 + b4286 + b4384 + b4681 + b4682
      + b4732 + b4853 + b4921 + b5003 + b5004 + b5043 + b5081 + b5118 + b5219
      + b5288 + b5296 + b5486 + b5540 + b5601 + b5610 + b5619 + b5624 + b5696
      + b5823 + b5838 + b5844 + b6008 + b6051 + b6060 + b6126 + b6414 + b6729
      + b6737 + b6827 + b7000 + b7004 + b7005 + b7090 + b7232 + b7306 + b7307
      + b7327 + b7404 + b7440 + b7441 + b7446 + b7482 + b7483 + b7497 + b7533
      + b7535 + b7696 + b7724 + b7820 + b7871 + b7881 + b8112 + b8216 + b8330
      + b8355 + b8483 + b8725 = 1;

e27:    b101 + b436 + b464 + b715 + b788 + b794 + b814 + b910 + b920 + b992
      + b1082 + b1258 + b1379 + b1451 + b1713 + b1747 + b1766 + b1770 + b1790
      + b2039 + b2125 + b2230 + b2246 + b2309 + b2318 + b2618 + b2888 + b3015
      + b3073 + b3076 + b3138 + b3176 + b3412 + b3524 + b3602 + b3608 + b3686
      + b3702 + b3853 + b3864 + b3925 + b3958 + b4030 + b4185 + b4190 + b4245
      + b4472 + b4652 + b4998 + b4999 + b5043 + b5065 + b5219 + b5227 + b5283
      + b5296 + b5307 + b5345 + b5385 + b5415 + b5558 + b5782 + b5786 + b5801
      + b5934 + b5986 + b6215 + b6417 + b6426 + b6460 + b6478 + b6494 + b6737
      + b6739 + b6858 + b7186 + b7384 + b7404 + b7441 + b7481 + b7485 + b7497
      + b7505 + b7552 + b7653 + b7654 + b7845 + b7854 + b7863 + b7925 + b7961
      + b8022 + b8219 + b8315 + b8330 + b8414 + b8744 + b8871 = 1;

e28:    b101 + b436 + b464 + b715 + b788 + b794 + b814 + b1082 + b1258 + b2298
      + b2618 + b2888 + b3076 + b3138 + b3412 + b3524 + b3608 + b3702 + b3853
      + b3864 + b4185 + b4652 + b4998 + b4999 + b5065 + b5296 + b5307 + b5385
      + b5415 + b5801 + b5934 + b6417 + b6426 + b6737 + b6738 + b6739 + b6858
      + b7186 + b7404 + b7441 + b7481 + b7497 + b7653 + b7654 + b7845 + b7854
      + b7863 + b7961 + b8219 + b8315 + b8330 + b8744 = 1;

e29:    b77 + b101 + b230 + b286 + b545 + b715 + b788 + b794 + b873 + b884
      + b1194 + b1258 + b1347 + b1426 + b1620 + b1736 + b1779 + b2036 + b2045
      + b2273 + b2475 + b2526 + b2618 + b2785 + b3015 + b3073 + b3076 + b3101
      + b3117 + b3138 + b3154 + b3369 + b3602 + b3844 + b3853 + b4185 + b4189
      + b4190 + b4241 + b4666 + b5065 + b5077 + b5263 + b5329 + b5336 + b5338
      + b5385 + b5540 + b5934 + b6044 + b6199 + b6403 + b6426 + b6737 + b6739
      + b6963 + b7379 + b7404 + b7441 + b7485 + b7538 + b7574 + b7681 + b7961
      + b8110 + b8219 + b8315 + b8744 + b8751 + b8833 = 1;

e30:    b77 + b101 + b230 + b286 + b545 + b715 + b788 + b794 + b873 + b884
      + b1194 + b1258 + b1347 + b1426 + b1620 + b1736 + b1779 + b2036 + b2045
      + b2273 + b2475 + b2526 + b2618 + b2785 + b3015 + b3073 + b3076 + b3101
      + b3117 + b3138 + b3154 + b3369 + b3602 + b3844 + b3853 + b4185 + b4189
      + b4190 + b4241 + b4666 + b5065 + b5077 + b5263 + b5329 + b5336 + b5338
      + b5385 + b5540 + b5934 + b6044 + b6199 + b6403 + b6426 + b6737 + b6739
      + b6963 + b7379 + b7404 + b7441 + b7485 + b7538 + b7574 + b7681 + b7961
      + b8110 + b8219 + b8315 + b8744 + b8751 + b8833 = 1;

e31:    b115 + b352 + b359 + b368 + b385 + b790 + b810 + b873 + b1168 + b1173
      + b1192 + b1213 + b1244 + b1347 + b1766 + b1769 + b2488 + b2638 + b2648
      + b2695 + b2730 + b2987 + b3084 + b3402 + b3422 + b3478 + b3882 + b4185
      + b4682 + b4732 + b4853 + b4899 + b4921 + b5540 + b5593 + b5601 + b5619
      + b5624 + b5823 + b6048 + b7005 + b7017 + b7071 + b7090 + b7307 + b7379
      + b7854 + b7871 + b8216 + b8229 + b8330 + b8725 = 1;

e32:    b115 + b385 + b790 + b810 + b873 + b1192 + b1213 + b1347 + b1766
      + b2010 + b2488 + b2987 + b3084 + b4185 + b4364 + b4682 + b4732 + b5540
      + b5593 + b5823 + b7005 + b7307 + b7871 + b8216 + b8229 + b8330 + b8725
      = 1;

e33:    b115 + b385 + b790 + b810 + b873 + b1192 + b1213 + b1347 + b1766
      + b2010 + b2488 + b2987 + b3084 + b4185 + b4364 + b4682 + b4732 + b5540
      + b5593 + b5823 + b7005 + b7307 + b7871 + b8216 + b8229 + b8330 + b8725
      = 1;

e34:    b22 + b56 + b115 + b162 + b286 + b385 + b464 + b526 + b552 + b632
      + b647 + b810 + b812 + b873 + b912 + b1082 + b1173 + b1180 + b1192
      + b1244 + b1258 + b1361 + b1379 + b1548 + b1758 + b1990 + b2092 + b2102
      + b2164 + b2172 + b2279 + b2309 + b2351 + b2488 + b2561 + b2618 + b2675
      + b2695 + b2791 + b2870 + b2987 + b3010 + b3035 + b3084 + b3094 + b3138
      + b3147 + b3164 + b3402 + b3412 + b3422 + b3461 + b3478 + b3608 + b3680
      + b3826 + b3860 + b3864 + b3902 + b3918 + b4087 + b4185 + b4257 + b4286
      + b4384 + b4681 + b4682 + b4732 + b4853 + b4921 + b5003 + b5004 + b5043
      + b5081 + b5118 + b5187 + b5219 + b5288 + b5296 + b5486 + b5540 + b5601
      + b5610 + b5619 + b5624 + b5823 + b5838 + b5844 + b6008 + b6051 + b6414
      + b6729 + b6737 + b6827 + b7000 + b7004 + b7005 + b7090 + b7232 + b7306
      + b7307 + b7327 + b7440 + b7441 + b7482 + b7483 + b7497 + b7535 + b7696
      + b7724 + b7820 + b7871 + b7881 + b8112 + b8216 + b8330 + b8355 + b8483
      + b8725 = 1;

e35:    b152 + b158 + b167 + b216 + b241 + b433 + b437 + b483 + b681 + b757
      + b849 + b925 + b945 + b1059 + b1085 + b1190 + b1332 + b1336 + b1399
      + b1408 + b1422 + b1459 + b1479 + b1590 + b1603 + b1611 + b1765 + b2043
      + b2336 + b2386 + b2403 + b2412 + b2470 + b2816 + b2927 + b2931 + b3071
      + b3131 + b3153 + b3156 + b3160 + b3235 + b3243 + b3392 + b3410 + b3484
      + b3559 + b3574 + b3589 + b3613 + b3666 + b3714 + b3718 + b3738 + b3739
      + b3755 + b3781 + b3840 + b4027 + b4032 + b4039 + b4081 + b4198 + b4218
      + b4272 + b4288 + b4308 + b4312 + b4363 + b4388 + b4435 + b4470 + b4509
      + b4596 + b4611 + b4613 + b4619 + b4742 + b4743 + b4829 + b5049 + b5150
      + b5304 + b5376 + b5391 + b5752 + b5768 + b5918 + b5962 + b5963 + b5965
      + b5972 + b6181 + b6197 + b6207 + b6212 + b6390 + b6407 + b6468 + b6472
      + b6482 + b6492 + b6502 + b6537 + b6583 + b6601 + b6804 + b6845 + b6847
      + b6861 + b6922 + b6969 + b7082 + b7143 + b7152 + b7197 + b7291 + b7341
      + b7354 + b7374 + b7378 + b7511 + b7553 + b7595 + b7597 + b7608 + b7646
      + b7742 + b7767 + b8027 + b8137 + b8191 + b8215 + b8231 + b8359 + b8404
      + b8410 + b8425 + b8671 + b8713 + b8752 + b8805 + b8840 = 1;

e36:    b152 + b158 + b167 + b241 + b258 + b483 + b523 + b849 + b945 + b1059
      + b1172 + b1193 + b1408 + b1611 + b1725 + b2403 + b2603 + b2770 + b2954
      + b3080 + b3140 + b3156 + b3243 + b3281 + b3392 + b3840 + b4198 + b4312
      + b4596 + b4598 + b4611 + b5397 + b5752 + b5808 + b6390 + b6472 + b6492
      + b6583 + b6781 + b7143 + b7152 + b7291 + b7374 + b7378 + b7422 + b7608
      + b7835 + b7910 + b8177 + b8752 + b8840 = 1;

e37:    b152 + b158 + b167 + b241 + b258 + b483 + b523 + b849 + b945 + b1059
      + b1172 + b1193 + b1408 + b1611 + b2403 + b2603 + b2770 + b2954 + b3080
      + b3140 + b3156 + b3243 + b3281 + b3392 + b3840 + b4198 + b4312 + b4596
      + b4598 + b4611 + b5397 + b5752 + b5808 + b6390 + b6472 + b6492 + b6583
      + b6781 + b7143 + b7152 + b7291 + b7374 + b7378 + b7422 + b7608 + b7835
      + b8177 + b8752 + b8840 = 1;

e38:    b28 + b158 + b167 + b216 + b241 + b255 + b849 + b933 + b945 + b1332
      + b1603 + b2403 + b2487 + b3071 + b3146 + b3156 + b3220 + b3243 + b3392
      + b3574 + b3613 + b3739 + b3755 + b4272 + b4410 + b4611 + b4665 + b4742
      + b4746 + b5049 + b5255 + b5366 + b5444 + b5507 + b6149 + b6181 + b6212
      + b6390 + b6472 + b6492 + b6601 + b6868 + b6922 + b6969 + b7082 + b7144
      + b7291 + b7354 + b7511 + b7608 + b7742 + b8359 + b8410 + b8425 + b8671
      + b8752 = 1;

e39:    b216 + b241 + b433 + b483 + b849 + b945 + b1332 + b1399 + b1603 + b2386
      + b2403 + b2636 + b3071 + b3224 + b3227 + b3243 + b3392 + b3613 + b3739
      + b3755 + b3904 + b4272 + b4312 + b4596 + b4742 + b5350 + b6135 + b6390
      + b6472 + b6492 + b6537 + b6601 + b6969 + b7082 + b7197 + b7276 + b7354
      + b7501 + b7511 + b7742 + b8215 + b8359 = 1;

e40:    b152 + b158 + b167 + b216 + b241 + b433 + b437 + b483 + b681 + b757
      + b849 + b945 + b1059 + b1085 + b1332 + b1336 + b1399 + b1408 + b1422
      + b1459 + b1479 + b1603 + b1611 + b1765 + b2043 + b2336 + b2386 + b2403
      + b2412 + b2470 + b2816 + b2927 + b2931 + b3071 + b3153 + b3156 + b3160
      + b3243 + b3392 + b3559 + b3574 + b3589 + b3613 + b3666 + b3714 + b3718
      + b3738 + b3739 + b3755 + b3781 + b3840 + b4198 + b4218 + b4272 + b4308
      + b4312 + b4435 + b4596 + b4611 + b4613 + b4619 + b4742 + b4743 + b5049
      + b5150 + b5304 + b5391 + b5752 + b5768 + b5918 + b5962 + b5963 + b5972
      + b6181 + b6212 + b6390 + b6407 + b6468 + b6472 + b6482 + b6492 + b6502
      + b6537 + b6583 + b6601 + b6804 + b6845 + b6847 + b6861 + b6922 + b6969
      + b7082 + b7143 + b7152 + b7197 + b7291 + b7341 + b7354 + b7374 + b7378
      + b7511 + b7553 + b7608 + b7646 + b7742 + b7767 + b8027 + b8137 + b8191
      + b8215 + b8340 + b8359 + b8404 + b8410 + b8425 + b8671 + b8713 + b8752
      + b8805 + b8840 = 1;

e41:    b30 + b275 + b467 + b524 + b708 + b852 + b872 + b1312 + b1401 + b1749
      + b1804 + b2042 + b2145 + b2383 + b2667 + b2752 + b2868 + b2917 + b2942
      + b3036 + b3043 + b3078 + b3087 + b3785 + b3905 + b3957 + b4079 + b4313
      + b4333 + b4498 + b4499 + b4719 + b4809 + b4981 + b4984 + b5109 + b5187
      + b5244 + b5305 + b5607 + b5690 + b6151 + b6157 + b6496 + b6545 + b6554
      + b6801 + b6999 + b7198 + b7299 + b7319 + b7431 + b7530 + b7785 + b8327
      + b8385 + b8484 + b8489 + b8845 + b8861 + b8891 = 1;

e42:    b36 + b105 + b208 + b275 + b437 + b533 + b662 + b726 + b834 + b852
      + b913 + b1312 + b1401 + b2014 + b2306 + b2383 + b2492 + b2609 + b2657
      + b2667 + b2868 + b2939 + b2977 + b3043 + b3047 + b3300 + b3354 + b3609
      + b4530 + b4570 + b4719 + b4857 + b4867 + b5312 + b5531 + b5537 + b5788
      + b5839 + b5847 + b5951 + b6424 + b6496 + b6545 + b6801 + b6999 + b7299
      + b7752 + b7759 + b7913 + b8001 + b8080 + b8101 + b8627 + b8647 + b8861
      + b8869 = 1;

e43:    b36 + b105 + b208 + b275 + b437 + b533 + b662 + b726 + b834 + b852
      + b913 + b1103 + b1113 + b1312 + b1401 + b1763 + b1941 + b1998 + b2014
      + b2306 + b2420 + b2492 + b2609 + b2657 + b2667 + b2868 + b2898 + b2939
      + b2977 + b3043 + b3047 + b3231 + b3300 + b3331 + b3354 + b3609 + b4224
      + b4271 + b4530 + b4570 + b4719 + b4857 + b4867 + b5092 + b5312 + b5443
      + b5529 + b5531 + b5537 + b5788 + b5839 + b5847 + b5951 + b6412 + b6424
      + b6490 + b6496 + b6545 + b6803 + b6889 + b6999 + b7283 + b7299 + b7752
      + b7757 + b7759 + b7913 + b8001 + b8080 + b8101 + b8343 + b8362 + b8390
      + b8627 + b8633 + b8647 + b8861 + b8869 = 1;

e44:    b36 + b105 + b208 + b275 + b437 + b533 + b662 + b726 + b834 + b852
      + b913 + b1103 + b1113 + b1312 + b1401 + b1763 + b1941 + b1998 + b2014
      + b2042 + b2306 + b2420 + b2492 + b2609 + b2657 + b2667 + b2868 + b2898
      + b2939 + b2977 + b3043 + b3047 + b3231 + b3300 + b3331 + b3354 + b3609
      + b4224 + b4271 + b4530 + b4570 + b4719 + b4857 + b4867 + b5092 + b5312
      + b5443 + b5529 + b5531 + b5537 + b5788 + b5839 + b5847 + b5951 + b6412
      + b6424 + b6490 + b6496 + b6545 + b6803 + b6889 + b6999 + b7283 + b7299
      + b7752 + b7757 + b7759 + b7913 + b8001 + b8080 + b8101 + b8343 + b8362
      + b8390 + b8633 + b8647 + b8861 + b8869 = 1;

e45:    b373 + b374 + b386 + b562 + b625 + b679 + b683 + b739 + b834 + b1103
      + b1473 + b1573 + b1683 + b1705 + b1729 + b1763 + b1764 + b1804 + b1998
      + b2042 + b2145 + b2420 + b2580 + b2898 + b2966 + b2977 + b3029 + b3047
      + b3078 + b3087 + b3194 + b3539 + b3562 + b3585 + b3594 + b3609 + b3957
      + b4009 + b4079 + b4224 + b4333 + b4499 + b4597 + b4639 + b4702 + b4713
      + b4814 + b4918 + b4981 + b4984 + b5160 + b5204 + b5301 + b5529 + b5537
      + b5804 + b5868 + b5977 + b6060 + b6064 + b6196 + b6321 + b6412 + b6496
      + b6546 + b6789 + b6889 + b6999 + b7031 + b7217 + b7454 + b8001 + b8240
      + b8310 + b8479 + b8484 + b8585 + b8633 + b8647 + b8891 = 1;

e46:    b373 + b374 + b386 + b562 + b625 + b679 + b683 + b739 + b834 + b1103
      + b1473 + b1573 + b1683 + b1705 + b1729 + b1763 + b1764 + b1804 + b1998
      + b2042 + b2145 + b2420 + b2580 + b2884 + b2898 + b2960 + b2966 + b2977
      + b3029 + b3032 + b3047 + b3078 + b3087 + b3194 + b3539 + b3562 + b3585
      + b3594 + b3609 + b3667 + b3733 + b3957 + b4009 + b4079 + b4224 + b4333
      + b4499 + b4597 + b4639 + b4702 + b4713 + b4814 + b4845 + b4918 + b4981
      + b4984 + b5154 + b5160 + b5204 + b5301 + b5529 + b5537 + b5804 + b5860
      + b5868 + b5977 + b6060 + b6064 + b6196 + b6321 + b6412 + b6496 + b6546
      + b6789 + b6889 + b6999 + b7031 + b7057 + b7217 + b7454 + b8001 + b8082
      + b8240 + b8310 + b8484 + b8510 + b8585 + b8633 + b8647 + b8891 = 1;

e47:    b30 + b275 + b467 + b524 + b708 + b852 + b865 + b872 + b901 + b902
      + b1312 + b1372 + b1401 + b1749 + b1764 + b1804 + b2042 + b2145 + b2383
      + b2557 + b2667 + b2752 + b2868 + b2917 + b2942 + b3036 + b3043 + b3078
      + b3087 + b3527 + b3785 + b3905 + b3957 + b4079 + b4313 + b4333 + b4498
      + b4499 + b4719 + b4809 + b4981 + b4984 + b5109 + b5244 + b5305 + b5607
      + b5690 + b5696 + b6060 + b6126 + b6151 + b6157 + b6496 + b6545 + b6554
      + b6801 + b6999 + b7198 + b7299 + b7319 + b7404 + b7431 + b7446 + b7530
      + b7533 + b7785 + b8327 + b8385 + b8484 + b8489 + b8845 + b8861 + b8891
      = 1;

e48:    b275 + b467 + b865 + b872 + b901 + b1312 + b1401 + b1749 + b2042
      + b2383 + b2557 + b2942 + b3043 + b3078 + b3087 + b3905 + b3957 + b4313
      + b4333 + b4498 + b4499 + b4981 + b4984 + b5109 + b5607 + b5690 + b6151
      + b6157 + b6496 + b7198 + b7299 + b7319 + b7431 + b7530 + b7533 + b8327
      + b8385 + b8484 + b8845 + b8861 = 1;

e49:    b275 + b467 + b865 + b872 + b901 + b1312 + b1401 + b1749 + b2042
      + b2383 + b2557 + b2942 + b3043 + b3078 + b3087 + b3905 + b3957 + b4313
      + b4333 + b4498 + b4499 + b4981 + b4984 + b5109 + b5607 + b5690 + b6151
      + b6157 + b6496 + b7198 + b7299 + b7319 + b7431 + b7530 + b7533 + b8327
      + b8385 + b8484 + b8845 + b8861 = 1;

e50:    b298 + b563 + b666 + b806 + b818 + b835 + b919 + b929 + b968 + b991
      + b1487 + b1621 + b1622 + b2173 + b2699 + b2705 + b2909 + b3062 + b3177
      + b3186 + b3214 + b3565 + b3765 + b3848 + b3888 + b3915 + b4075 + b4386
      + b4415 + b4577 + b4588 + b4616 + b4699 + b4883 + b4915 + b4939 + b5156
      + b5272 + b5337 + b5402 + b5877 + b5929 + b5991 + b6019 + b6022 + b6081
      + b6113 + b6283 + b6300 + b6418 + b6527 + b6942 + b7126 + b7462 + b7463
      + b7494 + b7568 + b7570 + b8145 + b8264 + b8266 + b8285 + b8506 + b8547
      + b8623 + b8712 + b8809 + b8825 = 1;

e51:    b501 + b563 + b806 + b1087 + b1369 + b1571 + b1594 + b1618 + b2319
      + b2377 + b2783 + b2899 + b2909 + b2975 + b3062 + b3177 + b3292 + b3659
      + b3848 + b3888 + b3890 + b4075 + b4329 + b4480 + b4541 + b4577 + b4699
      + b4915 + b5110 + b5156 + b5272 + b5402 + b5991 + b6014 + b6300 + b6531
      + b6942 + b7126 + b7177 + b7209 + b7250 + b7284 + b7494 + b7804 + b7808
      + b7981 + b8073 + b8098 + b8117 + b8248 + b8266 + b8274 + b8623 = 1;

e52:    b666 + b785 + b806 + b1079 + b1087 + b1571 + b1594 + b1606 + b1618
      + b1710 + b1912 + b1950 + b2173 + b2221 + b2238 + b2319 + b2783 + b2899
      + b2975 + b3062 + b3177 + b3292 + b3659 + b3848 + b3888 + b3890 + b4075
      + b4329 + b4480 + b4541 + b4577 + b4699 + b4883 + b4915 + b4976 + b5110
      + b5272 + b5991 + b6014 + b6283 + b6300 + b6531 + b6942 + b7126 + b7192
      + b7250 + b7284 + b7494 + b7804 + b7808 + b8073 + b8117 + b8248 + b8266
      + b8274 + b8283 + b8601 + b8623 + b8825 + b8884 = 1;

e53:    b51 + b62 + b298 + b543 + b563 + b648 + b701 + b785 + b968 + b1016
      + b1057 + b1079 + b1090 + b1189 + b1428 + b1430 + b1578 + b1606 + b1622
      + b1649 + b1710 + b1853 + b1912 + b2084 + b2155 + b2173 + b2391 + b2503
      + b2627 + b2652 + b2684 + b2808 + b2899 + b2975 + b3062 + b3292 + b3323
      + b3336 + b3565 + b3653 + b3834 + b3903 + b3951 + b4075 + b4152 + b4309
      + b4329 + b4415 + b4577 + b4616 + b4876 + b4883 + b4915 + b4923 + b4944
      + b4976 + b4995 + b5560 + b5583 + b5591 + b5719 + b5867 + b5898 + b5929
      + b6010 + b6014 + b6113 + b6171 + b6283 + b6300 + b6322 + b6326 + b6585
      + b6635 + b6743 + b6918 + b6951 + b6957 + b7089 + b7250 + b7367 + b7641
      + b7663 + b7698 + b7804 + b7808 + b8098 + b8117 + b8243 + b8248 + b8264
      + b8274 + b8547 + b8623 + b8884 = 1;

e54:    b51 + b54 + b62 + b298 + b501 + b543 + b563 + b648 + b701 + b785 + b835
      + b968 + b1016 + b1057 + b1079 + b1090 + b1189 + b1428 + b1430 + b1578
      + b1606 + b1622 + b1649 + b1710 + b1853 + b1912 + b2084 + b2155 + b2173
      + b2292 + b2391 + b2503 + b2627 + b2652 + b2684 + b2808 + b2899 + b2909
      + b2975 + b3062 + b3292 + b3304 + b3323 + b3336 + b3565 + b3653 + b3765
      + b3834 + b3903 + b3951 + b4075 + b4152 + b4309 + b4329 + b4415 + b4577
      + b4616 + b4848 + b4876 + b4883 + b4915 + b4923 + b4939 + b4944 + b4976
      + b4995 + b5560 + b5583 + b5591 + b5719 + b5867 + b5898 + b5929 + b6010
      + b6014 + b6113 + b6171 + b6283 + b6300 + b6322 + b6326 + b6585 + b6635
      + b6743 + b6918 + b6951 + b6957 + b7089 + b7209 + b7250 + b7367 + b7641
      + b7663 + b7698 + b7804 + b7808 + b8098 + b8117 + b8243 + b8248 + b8264
      + b8274 + b8547 + b8623 + b8884 = 1;

e55:    b543 + b563 + b578 + b666 + b685 + b785 + b918 + b929 + b968 + b1079
      + b1087 + b1090 + b1428 + b1430 + b1594 + b1606 + b1618 + b1622 + b1649
      + b1663 + b1710 + b1871 + b1912 + b1935 + b1950 + b2173 + b2221 + b2238
      + b2676 + b2678 + b2684 + b2890 + b2909 + b2975 + b3177 + b3659 + b3727
      + b3765 + b3848 + b3850 + b3888 + b3894 + b3919 + b4396 + b4541 + b4616
      + b4699 + b4848 + b4869 + b4879 + b4883 + b4939 + b4944 + b4976 + b5019
      + b5272 + b5453 + b5898 + b5929 + b6010 + b6019 + b6052 + b6283 + b6322
      + b6361 + b6418 + b6951 + b7084 + b7178 + b7192 + b7284 + b7558 + b7570
      + b7663 + b7804 + b7808 + b8114 + b8248 + b8254 + b8264 + b8274 + b8283
      + b8455 + b8538 + b8601 + b8623 + b8825 + b8884 = 1;

e56:    b543 + b563 + b578 + b685 + b918 + b929 + b968 + b1087 + b1090 + b1428
      + b1430 + b1594 + b1618 + b1622 + b1649 + b1663 + b1871 + b1935 + b2676
      + b2678 + b2684 + b2890 + b2909 + b2975 + b3659 + b3727 + b3765 + b3848
      + b3850 + b3888 + b3894 + b3919 + b4396 + b4541 + b4616 + b4699 + b4848
      + b4869 + b4879 + b4939 + b4944 + b5019 + b5272 + b5453 + b5898 + b5929
      + b6010 + b6019 + b6052 + b6322 + b6361 + b6418 + b6951 + b7084 + b7178
      + b7284 + b7558 + b7570 + b7663 + b7804 + b7808 + b8114 + b8248 + b8254
      + b8264 + b8274 + b8455 + b8538 + b8623 = 1;

e57:    b298 + b563 + b666 + b806 + b818 + b835 + b919 + b929 + b968 + b991
      + b1487 + b1621 + b1622 + b2173 + b2705 + b2909 + b3062 + b3177 + b3186
      + b3214 + b3565 + b3765 + b3848 + b3888 + b3915 + b4075 + b4386 + b4415
      + b4577 + b4588 + b4616 + b4699 + b4883 + b4939 + b5156 + b5272 + b5337
      + b5402 + b5877 + b5929 + b5991 + b6019 + b6022 + b6081 + b6113 + b6283
      + b6300 + b6418 + b6527 + b6942 + b7462 + b7463 + b7494 + b7568 + b7570
      + b8145 + b8264 + b8266 + b8285 + b8547 + b8623 + b8712 + b8809 + b8825
      = 1;

e58:    b60 + b227 + b317 + b319 + b633 + b759 + b890 + b909 + b944 + b1060
      + b1285 + b1383 + b1397 + b1664 + b1707 + b1784 + b1957 + b2434 + b2532
      + b2577 + b2908 + b3017 + b3322 + b3341 + b3359 + b3852 + b4003 + b4296
      + b4609 + b5001 + b5191 + b6105 + b6138 + b6481 + b6894 + b6960 + b6972
      + b6985 + b7247 + b7914 + b7976 + b8296 + b8382 + b8615 = 1;

e59:    b25 + b119 + b317 + b319 + b326 + b564 + b611 + b759 + b842 + b890
      + b909 + b944 + b1060 + b1061 + b1276 + b1285 + b1374 + b1471 + b1515
      + b1664 + b1883 + b2018 + b2111 + b2232 + b2296 + b2540 + b2569 + b2577
      + b2588 + b2856 + b2901 + b2908 + b3190 + b3358 + b3468 + b3645 + b3856
      + b3907 + b4116 + b4264 + b4314 + b4378 + b4400 + b4595 + b4609 + b5100
      + b5346 + b5504 + b5694 + b5858 + b5974 + b6105 + b6466 + b6481 + b6573
      + b6719 + b6894 + b6941 + b6979 + b6985 + b7244 + b7247 + b7302 + b7348
      + b7409 + b7449 + b7502 + b7792 + b8053 + b8550 + b8652 + b8847 + b8850
      = 1;

e60:    b25 + b317 + b319 + b326 + b337 + b487 + b564 + b579 + b611 + b663
      + b759 + b842 + b890 + b944 + b1128 + b1147 + b1276 + b1499 + b1883
      + b2018 + b2101 + b2232 + b2234 + b2296 + b2540 + b2569 + b2577 + b2588
      + b2856 + b2908 + b3069 + b3190 + b3468 + b3818 + b3856 + b4041 + b4116
      + b4400 + b4609 + b4795 + b5100 + b5294 + b5346 + b5561 + b5694 + b5858
      + b5870 + b5944 + b5974 + b6304 + b6466 + b6481 + b6719 + b6941 + b6979
      + b6985 + b7073 + b7247 + b7348 + b7449 + b7502 + b8033 + b8053 + b8550
      + b8599 + b8652 + b8831 + b8847 + b8850 = 1;

e61:    b25 + b326 + b333 + b337 + b561 + b759 + b842 + b1394 + b1784 + b2540
      + b2577 + b2588 + b2613 + b2833 + b2876 + b2893 + b3190 + b3341 + b4041
      + b4609 + b4795 + b5694 + b5870 + b6466 + b6481 + b7012 + b7247 + b7313
      + b7332 + b7502 + b7956 + b8169 + b8382 = 1;

e62:    b25 + b326 + b333 + b337 + b561 + b759 + b842 + b1394 + b1784 + b2540
      + b2577 + b2588 + b2613 + b2833 + b2876 + b2893 + b3190 + b3341 + b4041
      + b4609 + b4795 + b5694 + b5870 + b6466 + b6481 + b7012 + b7247 + b7313
      + b7332 + b7502 + b7956 + b8382 = 1;

e63:    b90 + b92 + b317 + b319 + b326 + b333 + b337 + b484 + b531 + b557
      + b576 + b579 + b759 + b842 + b1107 + b1215 + b1225 + b1279 + b1549
      + b1665 + b1784 + b1957 + b2463 + b2540 + b2577 + b2588 + b2613 + b2761
      + b2790 + b2832 + b2848 + b2876 + b2893 + b2903 + b2908 + b2910 + b3190
      + b3244 + b3322 + b3341 + b3359 + b3445 + b3514 + b3703 + b3852 + b3891
      + b4003 + b4041 + b4436 + b4555 + b4556 + b4609 + b4687 + b5056 + b5650
      + b5684 + b5695 + b5883 + b6405 + b6442 + b6481 + b6605 + b6688 + b7010
      + b7012 + b7171 + b7211 + b7247 + b7313 + b7489 + b7502 + b7579 + b7685
      + b7709 + b7846 + b8007 + b8197 + b8239 + b8296 + b8311 + b8382 = 1;

e64:    b62 + b90 + b317 + b319 + b484 + b592 + b842 + b944 + b994 + b1009
      + b1058 + b1107 + b1112 + b1215 + b1225 + b1295 + b1315 + b1316 + b1383
      + b1549 + b1665 + b1707 + b1784 + b1957 + b1991 + b2149 + b2322 + b2480
      + b2647 + b2804 + b2846 + b2848 + b2893 + b2908 + b3322 + b3359 + b3445
      + b3685 + b3776 + b3852 + b3891 + b4003 + b4134 + b4152 + b4178 + b4555
      + b4556 + b4609 + b4810 + b5001 + b5191 + b5554 + b5650 + b5695 + b5713
      + b5736 + b5940 + b6218 + b6243 + b6397 + b6688 + b6768 + b6972 + b6977
      + b6985 + b7400 + b7502 + b7572 + b7685 + b7846 + b7855 + b7923 + b8007
      + b8197 + b8296 + b8364 + b8459 + b8610 + b8673 = 1;

e65:    b60 + b62 + b90 + b150 + b179 + b317 + b319 + b452 + b468 + b484 + b582
      + b592 + b842 + b909 + b944 + b994 + b1009 + b1058 + b1107 + b1112
      + b1215 + b1225 + b1285 + b1295 + b1315 + b1316 + b1330 + b1383 + b1397
      + b1549 + b1665 + b1707 + b1784 + b1957 + b1960 + b1991 + b2149 + b2289
      + b2322 + b2434 + b2480 + b2532 + b2647 + b2804 + b2846 + b2848 + b2862
      + b2893 + b2895 + b2908 + b3322 + b3359 + b3445 + b3517 + b3685 + b3776
      + b3852 + b3891 + b4003 + b4134 + b4152 + b4178 + b4296 + b4344 + b4555
      + b4556 + b4609 + b4810 + b4968 + b5001 + b5191 + b5554 + b5559 + b5650
      + b5695 + b5713 + b5736 + b5751 + b5940 + b5976 + b6138 + b6243 + b6397
      + b6688 + b6768 + b6856 + b6960 + b6972 + b6977 + b6985 + b7281 + b7316
      + b7400 + b7502 + b7572 + b7685 + b7819 + b7846 + b7855 + b7909 + b7914
      + b7923 + b8007 + b8296 + b8364 + b8459 + b8610 + b8615 + b8673 = 1;

e66:    b60 + b317 + b319 + b633 + b759 + b890 + b909 + b944 + b1060 + b1285
      + b1298 + b1383 + b1397 + b1707 + b1784 + b1957 + b2434 + b2532 + b2577
      + b2908 + b3017 + b3322 + b3341 + b3359 + b3852 + b4296 + b4609 + b5001
      + b5191 + b5713 + b6138 + b6481 + b6960 + b6972 + b6985 + b7247 + b7316
      + b7914 + b7976 + b8382 + b8615 = 1;

e67:    b149 + b1275 + b1289 + b2146 + b2353 + b2900 + b4151 + b5074 + b5132
      + b5620 + b6014 + b6062 + b6264 + b6445 + b6650 + b6687 + b6787 + b6788
      + b8451 + b8772 = 1;

e68:    b108 + b140 + b149 + b349 + b1016 + b1099 + b1230 + b1231 + b1594
      + b1618 + b1871 + b1935 + b1962 + b2359 + b2676 + b2678 + b2680 + b3102
      + b3336 + b3427 + b3659 + b4049 + b4167 + b4541 + b4876 + b4879 + b4944
      + b4947 + b4953 + b5349 + b5526 + b5597 + b5853 + b6014 + b6361 + b6650
      + b7009 + b7083 + b7173 + b7178 + b7730 + b7883 + b8248 + b8274 + b8538
      = 1;

e69:    b108 + b140 + b149 + b349 + b1016 + b1099 + b1230 + b1231 + b1594
      + b1618 + b1871 + b1935 + b2359 + b2676 + b2678 + b2680 + b3102 + b3336
      + b3427 + b3659 + b4049 + b4167 + b4541 + b4876 + b4879 + b4944 + b4947
      + b4953 + b5349 + b5359 + b5526 + b5597 + b6014 + b6361 + b6650 + b7083
      + b7173 + b7178 + b7730 + b7883 + b8248 + b8274 + b8538 = 1;

e70:    b149 + b244 + b349 + b498 + b543 + b732 + b968 + b1099 + b1220 + b1231
      + b1484 + b1553 + b1570 + b1801 + b1935 + b2206 + b2359 + b2678 + b2680
      + b2699 + b2743 + b3102 + b3336 + b3427 + b3861 + b3919 + b4049 + b4050
      + b4171 + b4386 + b4684 + b4879 + b4937 + b4958 + b5341 + b5349 + b5359
      + b5454 + b5526 + b5589 + b5640 + b5938 + b6068 + b6223 + b6287 + b6650
      + b7083 + b7173 + b7531 + b7568 + b7611 + b7875 + b7883 + b8037 + b8166
      + b8538 + b8561 + b8809 = 1;

e71:    b95 + b149 + b244 + b345 + b349 + b490 + b498 + b543 + b949 + b1220
      + b1231 + b1484 + b1531 + b1553 + b1564 + b1570 + b1801 + b1825 + b1873
      + b1935 + b2206 + b2406 + b2625 + b2678 + b2680 + b2699 + b3102 + b3196
      + b3427 + b3774 + b3861 + b3919 + b4049 + b4050 + b4059 + b4082 + b4112
      + b4171 + b4684 + b4879 + b4937 + b5341 + b5349 + b5359 + b5589 + b5640
      + b5922 + b6068 + b6223 + b6287 + b6650 + b6771 + b7083 + b7438 + b7526
      + b7531 + b7557 + b7611 + b7875 + b8075 + b8152 + b8166 + b8442 + b8561
      + b8809 = 1;

e72:    b140 + b149 + b169 + b244 + b425 + b477 + b490 + b498 + b543 + b644
      + b666 + b698 + b929 + b949 + b964 + b1090 + b1289 + b1301 + b1307
      + b1484 + b1531 + b1542 + b1553 + b1564 + b1594 + b1618 + b1816 + b1820
      + b1825 + b1873 + b1978 + b2173 + b2176 + b2206 + b2322 + b2406 + b2548
      + b2556 + b2594 + b2604 + b2614 + b2678 + b2699 + b2735 + b2743 + b2756
      + b3068 + b3102 + b3214 + b3427 + b3746 + b3765 + b3774 + b3787 + b3806
      + b3861 + b3919 + b4043 + b4049 + b4050 + b4059 + b4082 + b4112 + b4167
      + b4171 + b4194 + b4233 + b4366 + b4386 + b4415 + b4551 + b4818 + b4849
      + b4860 + b4869 + b4948 + b4958 + b5272 + b5453 + b5526 + b5589 + b5597
      + b5922 + b5929 + b5971 + b5991 + b6018 + b6019 + b6052 + b6068 + b6223
      + b6283 + b6287 + b6388 + b6523 + b6527 + b6751 + b6761 + b6771 + b7126
      + b7163 + b7173 + b7178 + b7438 + b7494 + b7526 + b7531 + b7557 + b7566
      + b7731 + b7875 + b8075 + b8107 + b8124 + b8145 + b8166 + b8206 + b8254
      + b8448 + b8459 + b8506 + b8607 + b8807 + b8809 + b8825 + b8895 = 1;

e73:    b140 + b149 + b169 + b244 + b425 + b477 + b490 + b498 + b543 + b644
      + b666 + b698 + b929 + b949 + b964 + b1090 + b1289 + b1301 + b1307
      + b1484 + b1531 + b1542 + b1553 + b1564 + b1594 + b1618 + b1816 + b1820
      + b1825 + b1873 + b1956 + b1978 + b2173 + b2176 + b2206 + b2322 + b2406
      + b2548 + b2556 + b2594 + b2604 + b2614 + b2678 + b2699 + b2735 + b2743
      + b2756 + b3068 + b3102 + b3142 + b3214 + b3427 + b3746 + b3765 + b3774
      + b3787 + b3806 + b3861 + b3919 + b4043 + b4049 + b4050 + b4059 + b4082
      + b4112 + b4167 + b4171 + b4194 + b4215 + b4233 + b4366 + b4386 + b4415
      + b4551 + b4593 + b4818 + b4849 + b4860 + b4869 + b4948 + b4958 + b5272
      + b5453 + b5526 + b5589 + b5597 + b5922 + b5929 + b5971 + b5991 + b6018
      + b6019 + b6052 + b6068 + b6223 + b6283 + b6287 + b6388 + b6523 + b6527
      + b6751 + b6761 + b6771 + b6821 + b7126 + b7163 + b7173 + b7178 + b7438
      + b7494 + b7526 + b7557 + b7566 + b7731 + b7875 + b8075 + b8107 + b8124
      + b8145 + b8166 + b8206 + b8254 + b8448 + b8459 + b8506 + b8607 + b8807
      + b8809 + b8825 + b8895 = 1;

e74:    b149 + b402 + b971 + b1218 + b1289 + b1315 + b1316 + b1664 + b2146
      + b2353 + b2699 + b2862 + b2895 + b3246 + b4003 + b4151 + b4915 + b5736
      + b6014 + b6105 + b6397 + b6650 + b6687 + b6787 + b6788 + b7126 + b7133
      + b7281 + b8296 + b8451 + b8618 = 1;

e75:    b151 + b182 + b457 + b458 + b685 + b747 + b823 + b1003 + b1289 + b1880
      + b1882 + b2008 + b2890 + b2900 + b3583 + b3697 + b3727 + b4096 + b4170
      + b4203 + b4396 + b5132 + b5238 + b5248 + b5284 + b5815 + b5993 + b6504
      + b6788 + b6793 + b6874 + b7491 + b7492 + b7508 + b7639 + b8217 + b8873
      = 1;

e76:    b151 + b182 + b457 + b458 + b685 + b747 + b823 + b1003 + b1289 + b1880
      + b1882 + b1985 + b2008 + b2890 + b2900 + b2914 + b3583 + b3697 + b4096
      + b4170 + b4203 + b4351 + b4396 + b5132 + b5238 + b5248 + b5256 + b5284
      + b5815 + b5993 + b6419 + b6504 + b6788 + b6793 + b6874 + b7428 + b7491
      + b7492 + b7508 + b7639 + b8217 + b8873 = 1;

e77:    b151 + b458 + b627 + b685 + b747 + b823 + b1516 + b1835 + b1929 + b1985
      + b2225 + b2244 + b2269 + b2282 + b2353 + b2890 + b2900 + b2914 + b3009
      + b3055 + b3060 + b3583 + b3697 + b4096 + b4123 + b4170 + b4203 + b4340
      + b4351 + b5256 + b5284 + b5964 + b6266 + b6381 + b6571 + b6684 + b7363
      + b7428 + b7536 + b7775 + b7932 + b8054 + b8159 + b8217 + b8471 + b8549
      + b8837 = 1;

e78:    b151 + b457 + b458 + b627 + b685 + b747 + b823 + b1516 + b1835 + b1929
      + b1985 + b2225 + b2244 + b2269 + b2282 + b2353 + b2890 + b2900 + b2914
      + b3009 + b3055 + b3060 + b3583 + b3697 + b4096 + b4123 + b4170 + b4203
      + b4340 + b4351 + b4977 + b5256 + b5284 + b5383 + b5964 + b6266 + b6381
      + b6571 + b6684 + b7363 + b7428 + b7564 + b7775 + b7932 + b8054 + b8159
      + b8217 + b8471 + b8549 + b8837 = 1;

e79:    b151 + b401 + b458 + b521 + b648 + b685 + b689 + b747 + b823 + b991
      + b1057 + b1339 + b1386 + b1835 + b1929 + b2013 + b2191 + b2225 + b2244
      + b2245 + b2282 + b2353 + b2363 + b2366 + b2900 + b2914 + b3009 + b3054
      + b3055 + b3060 + b3241 + b3533 + b3697 + b3784 + b4096 + b4123 + b4170
      + b4203 + b4311 + b4340 + b4351 + b4440 + b4545 + b4610 + b4778 + b4852
      + b4977 + b5284 + b5403 + b5917 + b5964 + b6266 + b6367 + b6381 + b6571
      + b6635 + b6684 + b7363 + b7536 + b7564 + b7644 + b7775 + b7932 + b8054
      + b8064 + b8159 + b8217 + b8471 + b8480 + b8506 + b8549 + b8551 + b8837
      + b8895 = 1;

e80:    b151 + b401 + b458 + b521 + b648 + b685 + b689 + b747 + b823 + b1339
      + b1386 + b1835 + b1929 + b2013 + b2191 + b2225 + b2244 + b2245 + b2282
      + b2353 + b2363 + b2366 + b2900 + b3009 + b3054 + b3055 + b3060 + b3241
      + b3533 + b3697 + b3784 + b4096 + b4123 + b4170 + b4203 + b4340 + b4351
      + b4440 + b4545 + b4610 + b4778 + b4852 + b4977 + b5284 + b5403 + b5964
      + b6266 + b6367 + b6381 + b6571 + b6635 + b6684 + b7363 + b7536 + b7564
      + b7644 + b7775 + b7932 + b8054 + b8064 + b8159 + b8217 + b8471 + b8480
      + b8549 + b8551 + b8837 + b8895 = 1;

e81:    b530 + b897 + b928 + b1013 + b1489 + b1522 + b1688 + b1944 + b2008
      + b2086 + b2105 + b2128 + b2465 + b2525 + b2552 + b2904 + b3173 + b3258
      + b3307 + b3344 + b3533 + b3669 + b3808 + b4193 + b4291 + b4339 + b4394
      + b4411 + b4679 + b4725 + b4925 + b5426 + b5439 + b5467 + b5679 + b5961
      + b6491 + b6504 + b6656 + b6881 + b6924 + b6974 + b7672 + b7694 + b7917
      + b8055 + b8444 + b8657 + b8748 = 1;

e82:    b259 + b518 + b590 + b737 + b897 + b977 + b1013 + b1646 + b1688 + b1806
      + b1809 + b2016 + b2054 + b2112 + b2131 + b2195 + b2237 + b2272 + b3112
      + b3173 + b3254 + b3298 + b3476 + b3657 + b3740 + b4045 + b4051 + b4118
      + b4135 + b4229 + b4240 + b4291 + b4339 + b4341 + b4352 + b4744 + b4890
      + b4925 + b4950 + b4951 + b4989 + b5018 + b5040 + b5055 + b5082 + b5106
      + b5252 + b5308 + b5426 + b5703 + b5859 + b6114 + b6189 + b6224 + b6230
      + b6316 + b6333 + b6375 + b6440 + b6491 + b6526 + b6533 + b6653 + b6689
      + b6702 + b7033 + b7131 + b7196 + b7458 + b7471 + b7596 + b7672 + b7884
      + b7917 + b7969 + b8127 + b8245 + b8339 + b8444 + b8571 + b8629 + b8643
      + b8665 + b8737 + b8748 + b8874 = 1;

e83:    b185 + b259 + b518 + b590 + b737 + b897 + b977 + b1013 + b1105 + b1498
      + b1646 + b1688 + b1774 + b1806 + b1809 + b2016 + b2054 + b2112 + b2131
      + b2195 + b2237 + b2272 + b3112 + b3173 + b3254 + b3298 + b3476 + b3657
      + b3740 + b3794 + b4045 + b4051 + b4118 + b4135 + b4229 + b4240 + b4291
      + b4339 + b4341 + b4352 + b4744 + b4763 + b4867 + b4890 + b4925 + b4950
      + b4951 + b4989 + b5018 + b5040 + b5055 + b5082 + b5106 + b5252 + b5308
      + b5426 + b5703 + b5859 + b6114 + b6173 + b6189 + b6214 + b6224 + b6230
      + b6316 + b6333 + b6375 + b6440 + b6491 + b6526 + b6533 + b6653 + b6689
      + b6702 + b7033 + b7131 + b7196 + b7355 + b7458 + b7471 + b7596 + b7672
      + b7884 + b7917 + b7969 + b8127 + b8245 + b8339 + b8413 + b8444 + b8571
      + b8629 + b8643 + b8665 + b8737 + b8748 + b8874 = 1;

e84:    b259 + b621 + b724 + b737 + b787 + b877 + b977 + b1101 + b1498 + b1646
      + b1688 + b1806 + b1809 + b2016 + b2108 + b2112 + b2195 + b2976 + b3099
      + b3112 + b3254 + b3476 + b3487 + b3529 + b3740 + b3758 + b3794 + b3823
      + b4051 + b4118 + b4240 + b4248 + b4291 + b4339 + b4341 + b4352 + b4890
      + b4925 + b5082 + b5106 + b5141 + b5168 + b5308 + b5404 + b5426 + b6016
      + b6114 + b6158 + b6173 + b6189 + b6214 + b6224 + b6230 + b6316 + b6333
      + b6440 + b6449 + b6491 + b6526 + b6640 + b6653 + b6689 + b7008 + b7131
      + b7251 + b7383 + b7512 + b7537 + b7596 + b7877 + b7884 + b7917 + b7969
      + b8339 + b8413 + b8665 + b8737 + b8874 = 1;

e85:    b259 + b621 + b724 + b737 + b787 + b877 + b977 + b1349 + b1646 + b1806
      + b1809 + b2016 + b2054 + b2112 + b2195 + b3099 + b3112 + b3254 + b3356
      + b3476 + b3487 + b3529 + b3740 + b4051 + b4118 + b4248 + b4339 + b4341
      + b4352 + b4890 + b4925 + b5082 + b5106 + b5141 + b5168 + b5308 + b5404
      + b5426 + b6016 + b6114 + b6173 + b6189 + b6214 + b6224 + b6230 + b6316
      + b6333 + b6440 + b6491 + b6526 + b6640 + b6653 + b7008 + b7131 + b7251
      + b7277 + b7383 + b7537 + b7877 + b7884 + b7917 + b7969 + b8339 + b8413
      + b8417 + b8674 + b8737 + b8874 = 1;

e86:    b146 + b854 + b897 + b928 + b967 + b1013 + b1489 + b1902 + b1944
      + b2525 + b2777 + b2808 + b3258 + b3669 + b3696 + b4925 + b5527 + b5971
      + b6009 + b7277 + b7672 + b8055 + b8417 + b8444 + b8657 = 1;

e87:    b146 + b854 + b897 + b928 + b967 + b1013 + b1051 + b1489 + b1902
      + b1944 + b2777 + b2808 + b3258 + b3669 + b3696 + b4925 + b5527 + b5971
      + b6009 + b7277 + b7672 + b8055 + b8417 + b8444 + b8657 = 1;

e88:    b146 + b689 + b897 + b919 + b928 + b967 + b1013 + b1063 + b1087 + b1489
      + b1688 + b2777 + b2808 + b2904 + b3533 + b3669 + b3696 + b4925 + b5971
      + b6009 + b6410 + b7570 + b7672 + b7677 + b8322 + b8444 = 1;

e89:    b441 + b488 + b644 + b673 + b689 + b714 + b1093 + b1235 + b1724 + b2307
      + b2647 + b2955 + b3150 + b3211 + b3283 + b3338 + b3684 + b3843 + b4071
      + b4152 + b4942 + b4946 + b5052 + b5390 + b5541 + b7121 + b7193 + b7199
      + b7367 + b7642 + b7657 + b8118 + b8459 + b8622 = 1;

e90:    b29 + b285 + b441 + b488 + b644 + b658 + b673 + b689 + b714 + b832
      + b1093 + b1167 + b1235 + b1682 + b1724 + b2307 + b2363 + b2647 + b2880
      + b2955 + b3150 + b3211 + b3283 + b3338 + b3477 + b3564 + b3684 + b3843
      + b4071 + b4152 + b4930 + b4942 + b4946 + b5052 + b5075 + b5390 + b5541
      + b5709 + b5899 + b6692 + b6744 + b7121 + b7183 + b7193 + b7199 + b7367
      + b7381 + b7642 + b7657 + b7806 + b8118 + b8171 + b8302 + b8378 + b8459
      + b8622 = 1;

e91:    b441 + b488 + b644 + b1921 + b1972 + b2027 + b2229 + b2255 + b2265
      + b2468 + b2647 + b2724 + b3843 + b4071 + b4152 + b4554 + b4946 + b4964
      + b5061 + b5405 + b5916 + b6854 + b7193 + b7199 + b7367 + b8118 + b8287
      + b8302 + b8375 + b8378 + b8459 = 1;

e92:    b441 + b488 + b644 + b1921 + b1972 + b2027 + b2229 + b2255 + b2265
      + b2468 + b2647 + b2724 + b3843 + b4071 + b4152 + b4554 + b4946 + b4964
      + b5061 + b5405 + b5916 + b6854 + b7193 + b7199 + b7367 + b8118 + b8287
      + b8302 + b8375 + b8378 + b8459 = 1;

e93:    b441 + b488 + b2106 + b2265 + b2955 + b3211 + b3564 + b3843 + b3983
      + b4946 + b4964 + b5405 + b5916 + b7193 + b8118 + b8375 = 1;

e94:    b441 + b488 + b2106 + b2265 + b2955 + b3211 + b3564 + b3843 + b3983
      + b4946 + b4964 + b5405 + b5916 + b7193 + b8118 + b8375 = 1;

e95:    b741 + b876 + b1616 + b1856 + b2074 + b2307 + b2715 + b2989 + b5157
      + b5163 + b5205 + b5268 + b6448 + b7459 + b8439 = 1;

e96:    b876 + b991 + b1616 + b1856 + b2074 + b2307 + b2715 + b2989 + b5157
      + b5205 + b6448 + b7459 + b8439 = 1;

e97:    b151 + b307 + b475 + b991 + b1003 + b1231 + b1484 + b1616 + b1723
      + b2033 + b2074 + b2105 + b2222 + b2307 + b2482 + b2715 + b2731 + b2850
      + b2944 + b3280 + b3330 + b3806 + b3970 + b4203 + b4226 + b4467 + b4889
      + b5046 + b5157 + b5268 + b5535 + b5993 + b6155 + b6381 + b6448 + b6458
      + b6684 + b6967 + b7134 + b7499 + b8360 + b8439 = 1;

e98:    b151 + b307 + b475 + b991 + b1003 + b1231 + b1484 + b1616 + b1723
      + b2033 + b2074 + b2105 + b2222 + b2307 + b2482 + b2715 + b2731 + b2850
      + b2944 + b3280 + b3330 + b3806 + b3970 + b4203 + b4226 + b4467 + b4889
      + b5046 + b5157 + b5268 + b5535 + b5993 + b6155 + b6381 + b6448 + b6458
      + b6684 + b6967 + b7134 + b7499 + b8360 + b8439 = 1;

e99:    b35 + b247 + b282 + b429 + b602 + b881 + b914 + b922 + b956 + b1075
      + b1370 + b1410 + b1486 + b1556 + b1572 + b1678 + b1781 + b1782 + b1839
      + b1860 + b1886 + b1901 + b1904 + b1915 + b1918 + b1968 + b1981 + b1995
      + b2012 + b2123 + b2236 + b2242 + b2463 + b2505 + b2563 + b2696 + b2857
      + b2886 + b2999 + b3038 + b3126 + b3159 + b3256 + b3257 + b3272 + b3329
      + b3541 + b3605 + b3637 + b3724 + b3747 + b3788 + b3858 + b3968 + b3983
      + b4040 + b4144 + b4148 + b4150 + b4176 + b4259 + b4314 + b4728 + b4750
      + b4789 + b4955 + b4970 + b5027 + b5322 + b5463 + b5515 + b5662 + b5666
      + b5701 + b5711 + b5743 + b5886 + b5904 + b5942 + b5989 + b5997 + b6041
      + b6091 + b6121 + b6169 + b6379 + b6421 + b6434 + b6515 + b6644 + b6660
      + b6954 + b6986 + b7229 + b7352 + b7496 + b7541 + b7674 + b7718 + b7983
      + b8005 + b8019 + b8136 + b8146 + b8195 + b8209 + b8278 + b8311 + b8358
      + b8375 + b8467 + b8503 + b8511 + b8529 + b8531 + b8589 + b8605 + b8723
      = 1;

e100:    b150 + b179 + b313 + b380 + b429 + b450 + b468 + b922 + b956 + b994
       + b1030 + b1058 + b1075 + b1330 + b1427 + b1556 + b1557 + b1572 + b1669
       + b1670 + b1678 + b1737 + b1782 + b1839 + b1860 + b1886 + b1901 + b1904
       + b1915 + b1918 + b1968 + b1969 + b1981 + b1995 + b2012 + b2062 + b2107
       + b2123 + b2149 + b2233 + b2242 + b2289 + b2463 + b2521 + b2563 + b2572
       + b2804 + b2886 + b2999 + b3126 + b3179 + b3251 + b3257 + b3272 + b3311
       + b3329 + b3350 + b3360 + b3367 + b3541 + b3605 + b3637 + b3724 + b3788
       + b3858 + b3942 + b3968 + b3969 + b3983 + b4040 + b4144 + b4148 + b4150
       + b4176 + b4259 + b4314 + b4356 + b4385 + b4403 + b4728 + b4793 + b4796
       + b4955 + b4970 + b5027 + b5463 + b5501 + b5515 + b5559 + b5662 + b5663
       + b5701 + b5711 + b5743 + b5751 + b5904 + b5976 + b5989 + b5997 + b6041
       + b6121 + b6127 + b6169 + b6226 + b6379 + b6408 + b6421 + b6434 + b6515
       + b6856 + b6954 + b6977 + b6986 + b7042 + b7076 + b7496 + b7643 + b7674
       + b7715 + b7718 + b7819 + b7923 + b8005 + b8136 + b8146 + b8176 + b8195
       + b8209 + b8262 + b8278 + b8311 + b8358 + b8364 + b8375 + b8467 + b8503
       + b8529 + b8531 + b8589 + b8605 + b8673 + b8723 + b8783 + b8892 = 1;

e101:    b19 + b150 + b179 + b313 + b380 + b450 + b468 + b505 + b511 + b956
       + b994 + b1030 + b1058 + b1075 + b1270 + b1330 + b1407 + b1427 + b1556
       + b1572 + b1669 + b1670 + b1678 + b1737 + b1782 + b1839 + b1860 + b1886
       + b1901 + b1904 + b1915 + b1918 + b1934 + b1940 + b1968 + b1969 + b1981
       + b1995 + b2012 + b2107 + b2123 + b2149 + b2233 + b2236 + b2289 + b2376
       + b2463 + b2521 + b2572 + b2804 + b2886 + b2999 + b3126 + b3251 + b3257
       + b3272 + b3311 + b3329 + b3350 + b3360 + b3367 + b3541 + b3605 + b3637
       + b3724 + b3788 + b3858 + b3942 + b3968 + b3969 + b3983 + b4040 + b4144
       + b4148 + b4150 + b4176 + b4259 + b4314 + b4356 + b4385 + b4403 + b4728
       + b4793 + b4796 + b4955 + b4970 + b5214 + b5362 + b5463 + b5501 + b5515
       + b5559 + b5662 + b5663 + b5671 + b5677 + b5701 + b5711 + b5743 + b5751
       + b5904 + b5976 + b5989 + b5997 + b6041 + b6121 + b6127 + b6169 + b6226
       + b6377 + b6379 + b6408 + b6421 + b6434 + b6515 + b6658 + b6670 + b6856
       + b6940 + b6954 + b6977 + b6986 + b7042 + b7473 + b7496 + b7643 + b7674
       + b7715 + b7718 + b7819 + b7923 + b8005 + b8136 + b8146 + b8176 + b8195
       + b8209 + b8262 + b8278 + b8311 + b8358 + b8364 + b8375 + b8467 + b8503
       + b8529 + b8531 + b8589 + b8605 + b8673 + b8723 + b8783 + b8892 = 1;

e102:    b18 + b150 + b200 + b447 + b502 + b515 + b1075 + b1144 + b1194 + b1365
       + b1397 + b1499 + b1556 + b1588 + b1670 + b1782 + b1839 + b1886 + b1918
       + b2045 + b2077 + b2190 + b2558 + b2886 + b3272 + b3369 + b3447 + b3637
       + b3724 + b4259 + b4276 + b4385 + b4532 + b4624 + b4728 + b4901 + b4933
       + b4955 + b5463 + b5515 + b5559 + b5701 + b5711 + b5861 + b5944 + b6041
       + b6465 + b6714 + b6742 + b6960 + b7254 + b7819 + b8033 + b8136 + b8146
       + b8238 + b8412 + b8605 + b8636 + b8723 + b8831 = 1;

e103:    b18 + b150 + b200 + b502 + b515 + b826 + b1075 + b1144 + b1194 + b1365
       + b1397 + b1499 + b1514 + b1524 + b1556 + b1588 + b1670 + b1724 + b1782
       + b1839 + b1886 + b1918 + b2019 + b2045 + b2077 + b2558 + b2886 + b3272
       + b3369 + b3447 + b3637 + b3724 + b3795 + b3802 + b3907 + b4259 + b4385
       + b4532 + b4624 + b4695 + b4728 + b4901 + b4933 + b4955 + b5060 + b5188
       + b5463 + b5515 + b5541 + b5559 + b5711 + b5861 + b5944 + b6041 + b6465
       + b6480 + b6714 + b6742 + b6960 + b7254 + b7571 + b7819 + b8033 + b8136
       + b8146 + b8238 + b8319 + b8412 + b8605 + b8625 + b8670 + b8723 + b8778
       + b8831 = 1;

e104:    b150 + b200 + b426 + b502 + b515 + b816 + b826 + b1144 + b1194 + b1365
       + b1397 + b1499 + b1514 + b1524 + b1556 + b1588 + b1670 + b1678 + b1696
       + b1724 + b1782 + b1839 + b1918 + b2019 + b2045 + b2077 + b2300 + b2558
       + b2886 + b2999 + b3249 + b3369 + b3447 + b3544 + b3580 + b3605 + b3637
       + b3724 + b3753 + b3795 + b3802 + b3879 + b3907 + b3921 + b4259 + b4385
       + b4532 + b4624 + b4695 + b4728 + b4901 + b4924 + b4933 + b4955 + b5060
       + b5188 + b5471 + b5515 + b5541 + b5559 + b5711 + b5861 + b5944 + b6041
       + b6121 + b6465 + b6480 + b6667 + b6714 + b6742 + b6960 + b7147 + b7254
       + b7317 + b7571 + b7819 + b8005 + b8033 + b8136 + b8146 + b8238 + b8319
       + b8391 + b8412 + b8605 + b8625 + b8670 + b8723 + b8755 + b8778 + b8831
       + b8881 = 1;

e105:    b116 + b150 + b200 + b261 + b468 + b485 + b602 + b938 + b1059 + b1142
       + b1209 + b1329 + b1348 + b1370 + b1397 + b1406 + b1420 + b1499 + b1556
       + b1584 + b1678 + b1724 + b1911 + b1918 + b1982 + b2019 + b2077 + b2127
       + b2150 + b2240 + b2289 + b2510 + b2542 + b2547 + b2558 + b2566 + b2737
       + b2739 + b2810 + b2879 + b2886 + b3070 + b3165 + b3329 + b3447 + b3544
       + b3580 + b3614 + b3637 + b3662 + b3753 + b3854 + b3879 + b3921 + b4128
       + b4144 + b4198 + b4228 + b4346 + b4385 + b4427 + b4465 + b4511 + b4532
       + b4540 + b4675 + b4787 + b4933 + b4955 + b5245 + b5260 + b5399 + b5412
       + b5422 + b5515 + b5541 + b5555 + b5559 + b5566 + b5675 + b5708 + b5923
       + b5976 + b5988 + b5989 + b6141 + b6327 + b6335 + b6337 + b6415 + b6626
       + b6631 + b6667 + b6847 + b6950 + b7096 + b7145 + b7147 + b7253 + b7254
       + b7326 + b7377 + b7378 + b7461 + b7659 + b7675 + b7680 + b7819 + b7914
       + b8005 + b8164 + b8207 + b8346 + b8507 + b8520 + b8605 + b8729 + b8755
       + b8806 + b8831 + b8881 = 1;

e106:    b116 + b150 + b200 + b261 + b468 + b485 + b602 + b938 + b1059 + b1142
       + b1209 + b1329 + b1348 + b1370 + b1397 + b1406 + b1420 + b1499 + b1556
       + b1584 + b1678 + b1724 + b1911 + b1918 + b1982 + b2019 + b2077 + b2127
       + b2150 + b2240 + b2289 + b2510 + b2542 + b2547 + b2558 + b2566 + b2737
       + b2739 + b2810 + b2879 + b2886 + b3070 + b3165 + b3329 + b3447 + b3544
       + b3580 + b3614 + b3637 + b3662 + b3753 + b3854 + b3879 + b3921 + b4128
       + b4144 + b4198 + b4228 + b4346 + b4385 + b4427 + b4465 + b4511 + b4532
       + b4540 + b4675 + b4787 + b4933 + b4955 + b5245 + b5412 + b5422 + b5515
       + b5541 + b5555 + b5559 + b5566 + b5675 + b5708 + b5923 + b5976 + b5988
       + b5989 + b6141 + b6327 + b6335 + b6337 + b6415 + b6626 + b6631 + b6667
       + b6847 + b7145 + b7147 + b7254 + b7326 + b7377 + b7378 + b7659 + b7675
       + b7680 + b7819 + b7914 + b8005 + b8164 + b8346 + b8507 + b8520 + b8605
       + b8729 + b8755 + b8806 + b8831 + b8881 = 1;

e107:    b150 + b179 + b468 + b922 + b1142 + b1330 + b1397 + b1678 + b1839
       + b1904 + b2289 + b2547 + b2999 + b3159 + b3165 + b3272 + b3329 + b4115
       + b4144 + b4955 + b5559 + b5566 + b5675 + b5708 + b5751 + b5976 + b6347
       + b6856 + b7075 + b7819 + b7914 = 1;

e108:    b922 + b1678 + b1839 + b1904 + b2547 + b2999 + b3159 + b3246 + b3272
       + b3329 + b4115 + b4144 + b4151 + b4955 + b5675 + b5708 + b6091 + b6347
       + b6378 + b7075 = 1;

e109:    b247 + b282 + b881 + b922 + b927 + b1084 + b1370 + b1572 + b1678
       + b1839 + b1851 + b1904 + b2090 + b2123 + b2547 + b2563 + b2857 + b2999
       + b3159 + b3246 + b3257 + b3272 + b3329 + b3541 + b3724 + b4040 + b4144
       + b4151 + b4314 + b4789 + b4955 + b5675 + b5711 + b5886 + b5958 + b5989
       + b5997 + b6091 + b6378 + b6505 + b6921 + b7352 + b7496 + b7781 + b7786
       + b8176 + b8529 + b8770 + b8846 = 1;

e110:    b247 + b282 + b881 + b922 + b927 + b1572 + b1678 + b1839 + b1851
       + b1904 + b2090 + b2123 + b2547 + b2563 + b2999 + b3159 + b3246 + b3257
       + b3272 + b3329 + b3541 + b3724 + b4040 + b4144 + b4151 + b4314 + b4789
       + b4955 + b5675 + b5711 + b5958 + b5989 + b5997 + b6091 + b6378 + b6921
       + b7496 + b7786 + b8176 + b8529 + b8770 + b8846 = 1;

e111:    b455 + b581 + b888 + b971 + b1218 + b1298 + b1315 + b1316 + b1954
       + b2366 + b2601 + b2602 + b2656 + b2723 + b2862 + b2895 + b3085 + b3246
       + b4151 + b4211 + b4922 + b5021 + b5397 + b5713 + b5736 + b6378 + b6397
       + b6595 + b6687 + b6787 + b7081 + b7179 + b7281 + b7316 + b8194 + b8590
       + b8603 + b8618 = 1;

e112:    b73 + b104 + b452 + b455 + b888 + b971 + b1210 + b1298 + b1954 + b1960
       + b2366 + b2601 + b2602 + b2861 + b2862 + b2895 + b2935 + b3085 + b3246
       + b3306 + b3517 + b4151 + b4344 + b4662 + b4917 + b4968 + b5397 + b5617
       + b6138 + b6378 + b6669 + b6787 + b7179 + b7281 + b7316 + b7909 + b8590
       + b8603 + b8718 + b8880 = 1;

e113:    b73 + b104 + b455 + b489 + b888 + b971 + b1210 + b1298 + b1464 + b2366
       + b2421 + b2601 + b2861 + b2935 + b3085 + b3119 + b3306 + b3716 + b4628
       + b4662 + b4811 + b4917 + b5397 + b5617 + b6669 + b6787 + b6818 + b7179
       + b7565 + b7831 + b8301 + b8590 + b8718 + b8880 = 1;

e114:    b4 + b104 + b420 + b569 + b782 + b889 + b942 + b963 + b971 + b1218
       + b1478 + b1586 + b1593 + b1615 + b1918 + b2204 + b2334 + b2366 + b2456
       + b2601 + b2861 + b2935 + b2951 + b3085 + b3153 + b3306 + b3320 + b3630
       + b3865 + b3968 + b4434 + b5224 + b5614 + b5617 + b5809 + b6075 + b6595
       + b6787 + b7160 + b7179 + b7397 + b7546 + b7632 + b7986 + b8151 + b8194
       + b8286 + b8437 + b8590 + b8697 + b8870 + b8905 = 1;

e115:    b41 + b61 + b349 + b376 + b423 + b439 + b477 + b666 + b698 + b806
       + b835 + b952 + b963 + b1056 + b1204 + b1230 + b1231 + b1282 + b1478
       + b1484 + b1594 + b1954 + b1956 + b1962 + b1997 + b2173 + b2264 + b2276
       + b2284 + b2332 + b2334 + b2548 + b2556 + b2646 + b2680 + b2904 + b2968
       + b2989 + b3062 + b3068 + b3102 + b3153 + b3199 + b3214 + b3280 + b3557
       + b3626 + b3659 + b3806 + b3903 + b4050 + b4211 + b4223 + b4236 + b4415
       + b4517 + b4518 + b4541 + b4846 + b4876 + b4947 + b4953 + b5280 + b5597
       + b5614 + b6068 + b6423 + b6436 + b6595 + b6728 + b6733 + b6758 + b7056
       + b7083 + b7179 + b7335 + b7432 + b7488 + b7494 + b7713 + b7731 + b7883
       + b7972 + b8118 + b8194 + b8220 + b8243 + b8248 + b8266 + b8286 + b8294
       + b8448 + b8603 + b8646 + b8825 = 1;

e116:    b41 + b61 + b349 + b376 + b423 + b439 + b477 + b666 + b698 + b806
       + b835 + b952 + b963 + b1056 + b1204 + b1230 + b1231 + b1282 + b1478
       + b1484 + b1594 + b1954 + b1956 + b1962 + b1997 + b2173 + b2264 + b2276
       + b2284 + b2332 + b2334 + b2548 + b2556 + b2646 + b2680 + b2904 + b2968
       + b2989 + b3062 + b3068 + b3102 + b3153 + b3199 + b3214 + b3280 + b3557
       + b3626 + b3659 + b3806 + b3903 + b4050 + b4211 + b4223 + b4236 + b4415
       + b4517 + b4518 + b4541 + b4846 + b4876 + b4947 + b4953 + b5280 + b5597
       + b5614 + b6068 + b6423 + b6436 + b6595 + b6728 + b6733 + b6758 + b7056
       + b7083 + b7179 + b7335 + b7432 + b7488 + b7494 + b7713 + b7731 + b7883
       + b7972 + b8118 + b8194 + b8220 + b8243 + b8248 + b8266 + b8286 + b8294
       + b8448 + b8603 + b8646 + b8825 = 1;

e117:    b581 + b888 + b1275 + b1954 + b2245 + b2366 + b2601 + b2602 + b2656
       + b2900 + b3085 + b4151 + b4211 + b5021 + b5074 + b5132 + b5397 + b5620
       + b6264 + b6378 + b6445 + b6595 + b6687 + b6787 + b7179 + b8194 + b8590
       + b8603 + b8772 = 1;

e118:    b199 + b476 + b828 + b850 + b919 + b1172 + b1198 + b1307 + b1389
       + b1589 + b1596 + b1694 + b1816 + b1986 + b2007 + b2126 + b2162 + b2429
       + b2601 + b2697 + b2772 + b2777 + b2808 + b2926 + b3131 + b3406 + b3484
       + b3566 + b3599 + b3856 + b3951 + b4376 + b4577 + b4615 + b5137 + b5199
       + b5310 + b5327 + b5643 + b5856 + b5906 + b6035 + b6239 + b6612 + b6638
       + b7230 + b7251 + b7514 + b7859 + b8044 + b8190 + b8239 + b8704 + b8767
       + b8833 = 1;

e119:    b199 + b476 + b828 + b1307 + b1389 + b1694 + b1816 + b1986 + b2126
       + b2162 + b2429 + b2697 + b2772 + b2777 + b2808 + b2926 + b3566 + b3599
       + b3856 + b4376 + b4615 + b5137 + b5199 + b5310 + b5856 + b5906 + b6035
       + b6239 + b6612 + b7230 + b7251 + b7514 + b8044 + b8190 + b8239 + b8704
       + b8833 = 1;

e120:    b476 + b2162 + b2337 + b2344 + b2429 + b3599 + b4553 + b6741 = 1;

e121:    b476 + b599 + b2162 + b2697 = 1;

e122:    b199 + b476 + b545 + b869 + b920 + b1031 + b1268 + b1307 + b1536
       + b1561 + b1653 + b1736 + b1779 + b1990 + b2020 + b2039 + b2439 + b2612
       + b2656 + b2697 + b2772 + b2785 + b2791 + b2926 + b2934 + b3051 + b3080
       + b3173 + b3497 + b3800 + b3925 + b3998 + b4016 + b4029 + b4042 + b4195
       + b4241 + b4607 + b4651 + b4667 + b4712 + b4839 + b5004 + b5137 + b5296
       + b5310 + b5321 + b5426 + b5602 + b5611 + b5667 + b5679 + b5782 + b5856
       + b5883 + b5970 + b6238 + b6239 + b6403 + b6414 + b6638 + b6690 + b6708
       + b6736 + b6813 + b6945 + b6963 + b6964 + b7232 + b7251 + b7518 + b7666
       + b7900 + b8190 + b8229 + b8348 = 1;

e123:    b199 + b476 + b545 + b869 + b1268 + b1307 + b1536 + b1561 + b1736
       + b1990 + b2020 + b2039 + b2314 + b2429 + b2439 + b2612 + b2656 + b2697
       + b2772 + b2785 + b2791 + b2926 + b2934 + b3051 + b3080 + b3173 + b3497
       + b3800 + b3998 + b4016 + b4029 + b4042 + b4195 + b4241 + b4607 + b4651
       + b4667 + b4839 + b5004 + b5137 + b5310 + b5321 + b5426 + b5602 + b5611
       + b5667 + b5679 + b5731 + b5782 + b5856 + b5883 + b5970 + b6238 + b6239
       + b6403 + b6414 + b6638 + b6690 + b6708 + b6736 + b6813 + b6945 + b6963
       + b7232 + b7251 + b7518 + b7666 + b7900 + b8190 + b8348 = 1;

e124:    b47 + b65 + b111 + b141 + b160 + b231 + b253 + b301 + b514 + b775
       + b801 + b904 + b927 + b1057 + b1154 + b1352 + b1432 + b1574 + b1591
       + b1657 + b1730 + b1777 + b1805 + b1820 + b1851 + b1853 + b1898 + b1955
       + b2064 + b2103 + b2142 + b2302 + b2361 + b2375 + b2523 + b2524 + b2570
       + b2814 + b2890 + b3051 + b3086 + b3095 + b3142 + b3194 + b3273 + b3491
       + b3504 + b3583 + b3698 + b3841 + b3847 + b4010 + b4083 + b4146 + b4181
       + b4231 + b4298 + b4506 + b4525 + b4691 + b4721 + b4923 + b5409 + b5543
       + b5556 + b5583 + b5899 + b5982 + b6053 + b6175 + b6205 + b6225 + b6567
       + b6735 + b6796 + b6821 + b6849 + b6921 + b6936 + b6968 + b7034 + b7167
       + b7207 + b7514 + b7548 + b7616 + b7642 + b7932 + b8017 + b8078 + b8171
       + b8182 + b8416 + b8510 + b8732 + b8734 + b8769 + b8875 + b8887 = 1;

e125:    b111 + b141 + b231 + b253 + b301 + b514 + b775 + b801 + b904 + b927
       + b1057 + b1154 + b1574 + b1591 + b1657 + b1730 + b1777 + b1805 + b1820
       + b1851 + b1853 + b1898 + b1955 + b2064 + b2103 + b2142 + b2375 + b2410
       + b2523 + b2524 + b2570 + b2814 + b2890 + b3051 + b3086 + b3095 + b3194
       + b3273 + b3491 + b3504 + b3583 + b3698 + b3841 + b3847 + b4010 + b4083
       + b4146 + b4181 + b4506 + b4691 + b4721 + b4923 + b5409 + b5543 + b5556
       + b5583 + b5899 + b5982 + b6053 + b6175 + b6205 + b6225 + b6567 + b6796
       + b6849 + b6921 + b6936 + b6968 + b7034 + b7514 + b7548 + b7616 + b7642
       + b7932 + b8017 + b8171 + b8182 + b8416 + b8510 + b8732 + b8734 + b8769
       + b8875 + b8887 = 1;

e126:    b64 + b111 + b141 + b285 + b301 + b419 + b514 + b1154 + b1214 + b1339
       + b1387 + b1574 + b1591 + b1657 + b1730 + b1851 + b1898 + b1955 + b2020
       + b2064 + b2103 + b2197 + b2375 + b2410 + b2460 + b2524 + b2814 + b3051
       + b3086 + b3092 + b3095 + b3194 + b3273 + b3491 + b3504 + b3547 + b3698
       + b3704 + b3847 + b4010 + b4042 + b4140 + b4146 + b4181 + b4346 + b4633
       + b4722 + b4874 + b4885 + b5403 + b5556 + b5657 + b5899 + b5982 + b6053
       + b6175 + b6314 + b6419 + b6532 + b6567 + b6796 + b6936 + b7034 + b7119
       + b7325 + b7628 + b7797 + b8069 + b8171 + b8182 + b8240 + b8253 + b8491
       + b8510 + b8732 + b8734 + b8762 + b8769 + b8875 + b8887 = 1;

e127:    b64 + b88 + b141 + b224 + b287 + b365 + b514 + b573 + b650 + b720
       + b939 + b1076 + b1339 + b1366 + b1460 + b1513 + b1730 + b1777 + b1785
       + b1851 + b1911 + b1924 + b2057 + b2064 + b2094 + b2197 + b2199 + b2375
       + b2413 + b2501 + b2518 + b2538 + b2814 + b3003 + b3051 + b3056 + b3095
       + b3185 + b3208 + b3225 + b3273 + b3423 + b3444 + b3662 + b3821 + b3965
       + b4042 + b4061 + b4115 + b4158 + b4232 + b4321 + b4409 + b4622 + b4709
       + b4711 + b4762 + b4776 + b4892 + b5051 + b5098 + b5460 + b5570 + b5630
       + b5657 + b5722 + b5982 + b6053 + b6096 + b6238 + b6290 + b6314 + b6345
       + b6372 + b6501 + b6521 + b6522 + b6532 + b6567 + b6589 + b6625 + b6753
       + b6796 + b6883 + b6903 + b6936 + b6955 + b6997 + b7034 + b7091 + b7104
       + b7119 + b7257 + b7325 + b7357 + b7444 + b7628 + b7715 + b7727 + b7797
       + b7904 + b7969 + b7993 + b8069 + b8182 + b8253 + b8475 + b8491 + b8510
       + b8515 + b8595 + b8641 + b8732 + b8771 + b8818 + b8819 + b8875 + b8887
       = 1;

e128:    b64 + b88 + b141 + b224 + b287 + b365 + b514 + b573 + b650 + b677
       + b720 + b939 + b1076 + b1339 + b1366 + b1460 + b1513 + b1730 + b1777
       + b1785 + b1851 + b1911 + b2057 + b2064 + b2094 + b2197 + b2199 + b2375
       + b2413 + b2501 + b2538 + b2814 + b3003 + b3051 + b3056 + b3095 + b3185
       + b3208 + b3225 + b3273 + b3385 + b3423 + b3444 + b3662 + b3821 + b3965
       + b4042 + b4061 + b4115 + b4158 + b4232 + b4321 + b4380 + b4409 + b4622
       + b4709 + b4711 + b4762 + b4776 + b4885 + b4892 + b5051 + b5098 + b5204
       + b5460 + b5570 + b5630 + b5657 + b5722 + b5982 + b6053 + b6096 + b6238
       + b6276 + b6290 + b6314 + b6372 + b6501 + b6521 + b6532 + b6567 + b6589
       + b6625 + b6753 + b6796 + b6883 + b6903 + b6936 + b6955 + b6997 + b7034
       + b7091 + b7104 + b7119 + b7257 + b7325 + b7357 + b7435 + b7444 + b7628
       + b7715 + b7727 + b7791 + b7797 + b7904 + b7969 + b7993 + b8069 + b8182
       + b8253 + b8475 + b8491 + b8510 + b8595 + b8641 + b8732 + b8771 + b8818
       + b8819 + b8875 + b8887 = 1;

e129:    b64 + b88 + b141 + b240 + b253 + b304 + b419 + b499 + b514 + b573
       + b650 + b677 + b720 + b927 + b1339 + b1366 + b1557 + b1730 + b1777
       + b1785 + b1851 + b1911 + b2057 + b2064 + b2094 + b2199 + b2375 + b2413
       + b2501 + b2523 + b2814 + b3003 + b3051 + b3056 + b3095 + b3103 + b3225
       + b3273 + b3385 + b3444 + b3547 + b3662 + b3698 + b3821 + b4042 + b4115
       + b4140 + b4380 + b4408 + b4409 + b4622 + b4709 + b4711 + b4721 + b4874
       + b4885 + b4892 + b5051 + b5098 + b5204 + b5396 + b5403 + b5409 + b5442
       + b5460 + b5543 + b5570 + b5657 + b5982 + b6053 + b6096 + b6180 + b6238
       + b6276 + b6290 + b6314 + b6372 + b6501 + b6532 + b6567 + b6625 + b6753
       + b6796 + b6883 + b6921 + b6936 + b7034 + b7091 + b7104 + b7119 + b7325
       + b7357 + b7435 + b7444 + b7539 + b7628 + b7727 + b7797 + b7840 + b7993
       + b8069 + b8089 + b8182 + b8253 + b8475 + b8491 + b8500 + b8510 + b8641
       + b8732 + b8762 + b8769 + b8802 + b8875 = 1;

e130:    b47 + b64 + b65 + b88 + b141 + b160 + b169 + b193 + b514 + b649 + b795
       + b801 + b828 + b832 + b860 + b956 + b1339 + b1352 + b1366 + b1370
       + b1432 + b1574 + b1657 + b1730 + b1777 + b1785 + b1816 + b1955 + b1974
       + b2057 + b2094 + b2191 + b2301 + b2302 + b2361 + b2501 + b2524 + b2570
       + b2788 + b2814 + b2887 + b3095 + b3098 + b3150 + b3179 + b3194 + b3376
       + b3403 + b3444 + b3471 + b3491 + b3536 + b3592 + b3637 + b3727 + b3821
       + b3950 + b4025 + b4402 + b4408 + b4409 + b4432 + b4525 + b4615 + b4622
       + b4629 + b4694 + b4717 + b4721 + b4745 + b5027 + b5033 + b5051 + b5098
       + b5199 + b5353 + b5403 + b5409 + b5460 + b5543 + b5556 + b5579 + b5770
       + b5797 + b5867 + b5886 + b6064 + b6085 + b6096 + b6321 + b6567 + b6625
       + b6735 + b6753 + b6822 + b6936 + b7034 + b7091 + b7167 + b7207 + b7325
       + b7349 + b7444 + b7616 + b7718 + b7727 + b7993 + b8017 + b8050 + b8069
       + b8078 + b8146 + b8153 + b8310 + b8352 + b8455 + b8510 + b8516 + b8592
       + b8667 + b8678 + b8743 + b8769 + b8879 + b8899 = 1;

e131:    b47 + b65 + b160 + b169 + b514 + b649 + b795 + b801 + b828 + b860
       + b956 + b1339 + b1352 + b1366 + b1370 + b1432 + b1574 + b1657 + b1730
       + b1777 + b1816 + b1955 + b2191 + b2301 + b2302 + b2361 + b2501 + b2524
       + b2570 + b2788 + b2814 + b2887 + b3095 + b3098 + b3150 + b3179 + b3194
       + b3376 + b3403 + b3491 + b3536 + b3637 + b3727 + b3950 + b4025 + b4402
       + b4525 + b4615 + b4622 + b4629 + b4717 + b4721 + b4745 + b5027 + b5199
       + b5353 + b5403 + b5409 + b5543 + b5556 + b5579 + b5770 + b5867 + b5886
       + b6085 + b6321 + b6567 + b6625 + b6735 + b6822 + b6936 + b7034 + b7167
       + b7207 + b7349 + b7616 + b7718 + b7727 + b7993 + b8017 + b8050 + b8069
       + b8078 + b8146 + b8153 + b8310 + b8455 + b8510 + b8516 + b8592 + b8678
       + b8743 + b8769 + b8879 = 1;

e132:    b15 + b26 + b31 + b107 + b280 + b358 + b427 + b434 + b492 + b505
       + b511 + b613 + b672 + b721 + b817 + b867 + b938 + b951 + b1159 + b1259
       + b1260 + b1402 + b1535 + b1555 + b1705 + b1934 + b1959 + b1977 + b1981
       + b1996 + b2160 + b2228 + b2244 + b2313 + b2376 + b2528 + b2567 + b2636
       + b2754 + b2758 + b3082 + b3093 + b3126 + b3240 + b3288 + b3327 + b3350
       + b3539 + b3742 + b3786 + b3930 + b3950 + b4339 + b4394 + b4403 + b4503
       + b4508 + b4552 + b4593 + b4754 + b4769 + b4861 + b4886 + b4897 + b4898
       + b5039 + b5362 + b5422 + b5436 + b5438 + b5517 + b5656 + b5662 + b5663
       + b5665 + b5671 + b5753 + b5882 + b6085 + b6146 + b6270 + b6281 + b6303
       + b6373 + b6409 + b6420 + b6546 + b6646 + b6943 + b6948 + b6984 + b7003
       + b7055 + b7130 + b7141 + b7643 + b7658 + b7691 + b7705 + b7719 + b7778
       + b7780 + b7858 + b7991 + b8092 + b8096 + b8147 + b8176 + b8193 + b8310
       + b8522 + b8598 + b8756 + b8799 = 1;

e133:    b15 + b26 + b31 + b107 + b358 + b427 + b434 + b492 + b505 + b511
       + b613 + b672 + b867 + b938 + b951 + b1221 + b1259 + b1260 + b1402
       + b1535 + b1555 + b1705 + b1888 + b1934 + b1959 + b1977 + b1981 + b1996
       + b2160 + b2228 + b2244 + b2313 + b2376 + b2528 + b2549 + b2567 + b2632
       + b2754 + b2758 + b3029 + b3074 + b3082 + b3093 + b3113 + b3126 + b3240
       + b3288 + b3327 + b3350 + b3539 + b3742 + b3773 + b3786 + b3930 + b3950
       + b4339 + b4394 + b4403 + b4508 + b4552 + b4593 + b4754 + b4886 + b4897
       + b4898 + b5031 + b5039 + b5204 + b5362 + b5422 + b5436 + b5438 + b5517
       + b5616 + b5656 + b5662 + b5663 + b5665 + b5671 + b5753 + b5882 + b6085
       + b6146 + b6250 + b6257 + b6270 + b6281 + b6303 + b6331 + b6373 + b6409
       + b6420 + b6546 + b6646 + b6899 + b6912 + b6943 + b6948 + b7003 + b7055
       + b7130 + b7141 + b7357 + b7524 + b7643 + b7658 + b7691 + b7705 + b7719
       + b7778 + b7858 + b7991 + b8092 + b8096 + b8147 + b8176 + b8185 + b8193
       + b8310 + b8522 + b8598 + b8756 + b8794 + b8799 = 1;

e134:    b15 + b26 + b31 + b107 + b427 + b434 + b492 + b505 + b511 + b613
       + b672 + b867 + b938 + b951 + b1221 + b1259 + b1260 + b1535 + b1555
       + b1705 + b1888 + b1934 + b1959 + b1981 + b1996 + b2160 + b2228 + b2244
       + b2313 + b2376 + b2549 + b2567 + b2632 + b2754 + b2758 + b3029 + b3074
       + b3082 + b3093 + b3113 + b3126 + b3240 + b3288 + b3327 + b3350 + b3539
       + b3742 + b3773 + b3786 + b3950 + b4394 + b4403 + b4508 + b4533 + b4552
       + b4593 + b4754 + b4886 + b4897 + b4898 + b5031 + b5039 + b5204 + b5362
       + b5422 + b5436 + b5438 + b5517 + b5616 + b5656 + b5662 + b5663 + b5665
       + b5671 + b5753 + b5882 + b6085 + b6250 + b6257 + b6270 + b6281 + b6331
       + b6373 + b6409 + b6420 + b6546 + b6646 + b6899 + b6912 + b6943 + b6948
       + b7055 + b7130 + b7141 + b7357 + b7524 + b7643 + b7658 + b7691 + b7705
       + b7719 + b7778 + b7858 + b7991 + b8092 + b8096 + b8147 + b8176 + b8185
       + b8193 + b8310 + b8522 + b8598 + b8794 + b8799 = 1;

e135:    b35 + b107 + b672 + b1080 + b1081 + b1535 + b1591 + b1959 + b1981
       + b1996 + b2244 + b2313 + b2567 + b4078 + b4102 + b4533 + b4655 + b5438
       + b5497 + b5508 + b5753 + b6258 + b6331 + b6373 + b6409 + b6420 + b6546
       + b6912 + b8860 = 1;

e136:    b35 + b357 + b672 + b1080 + b1081 + b1535 + b1591 + b1959 + b1981
       + b1996 + b2244 + b2313 + b2567 + b3577 + b4078 + b4102 + b4533 + b4655
       + b5041 + b5438 + b5457 + b5497 + b5508 + b5727 + b5753 + b6258 + b6331
       + b6373 + b6409 + b6420 + b6546 + b6912 + b7033 + b8766 + b8860 = 1;

e137:    b35 + b156 + b280 + b427 + b511 + b613 + b672 + b1159 + b1535 + b1591
       + b1860 + b1981 + b1995 + b2086 + b2236 + b2244 + b2313 + b2391 + b2567
       + b3093 + b3126 + b3256 + b3539 + b3742 + b3786 + b3788 + b3841 + b3883
       + b4102 + b4148 + b4403 + b4533 + b4552 + b4754 + b4861 + b4886 + b4897
       + b5438 + b5662 + b5671 + b6546 + b6836 + b6928 + b6943 + b7658 + b7780
       + b8092 + b8147 + b8193 + b8209 + b8511 = 1;

e138:    b1989 + b1990 + b2039 + b2515 + b6636 + b6963 = 1;

e139:    b1150 + b3568 + b6636 = 1;

e140:    b1790 + b2752 + b3568 + b4016 + b4030 + b4984 + b5283 + b6441 + b6636
       + b7198 + b7921 + b8385 + b8414 = 1;

e141:    b19 + b433 + b455 + b1270 + b1881 + b1886 + b1915 + b3019 + b3058
       + b3757 + b3762 + b4176 + b4954 + b5214 + b5386 + b5677 + b5681 + b5935
       + b6636 + b6670 + b6894 + b7081 + b7412 + b7473 + b8035 + b8480 + b8531
       = 1;

e142:    b433 + b455 + b1915 + b2383 + b3019 + b3058 + b3757 + b3762 + b5386
       + b5935 + b6636 + b6801 + b6894 + b7081 + b7412 + b8035 + b8480 = 1;

e143:    b433 + b455 + b640 + b744 + b1353 + b1640 + b1915 + b2383 + b2388
       + b3019 + b3058 + b3757 + b3762 + b4183 + b5386 + b5732 + b5935 + b6636
       + b6801 + b6894 + b7081 + b7412 + b8035 + b8480 = 1;

e144:    b227 + b455 + b1694 + b2671 + b2723 + b2749 + b4922 + b5681 + b6062
       + b6119 + b6636 + b6894 + b7081 + b7862 + b8506 = 1;

e145:    b402 + b1694 + b2245 + b2671 + b2749 + b5681 + b6119 + b6636 + b7133
       + b7862 = 1;

e146:    b1469 + b1560 + b2110 + b2158 + b2171 + b2261 + b2651 + b2982 + b4433
       + b4832 + b5558 + b5968 + b6581 + b6705 + b6717 + b7061 + b7720 + b8115
       + b8163 + b8462 = 1;

e147:    b484 + b1225 + b1469 + b1847 + b2158 + b2171 + b2261 + b2982 + b3945
       + b4080 + b4122 + b4282 + b4433 + b4569 + b4832 + b5162 + b5718 + b5968
       + b6059 + b6158 + b6288 + b6318 + b6486 + b6705 + b6717 + b7256 + b7596
       + b7720 + b8060 + b8115 + b8163 + b8368 + b8462 + b8576 + b8789 = 1;

e148:    b484 + b808 + b1225 + b1469 + b1847 + b1906 + b2158 + b2171 + b2261
       + b2271 + b2682 + b2982 + b3419 + b3463 + b3945 + b4080 + b4122 + b4282
       + b4433 + b4569 + b4832 + b5162 + b5558 + b5718 + b5968 + b6059 + b6158
       + b6288 + b6318 + b6330 + b6486 + b6699 + b6705 + b6711 + b6717 + b7256
       + b7596 + b7720 + b7843 + b8060 + b8115 + b8163 + b8368 + b8462 + b8565
       + b8575 + b8576 + b8789 = 1;

e149:    b484 + b808 + b1225 + b1302 + b1469 + b1847 + b1906 + b2049 + b2158
       + b2171 + b2242 + b2261 + b2271 + b2682 + b2700 + b2982 + b3038 + b3419
       + b3463 + b3926 + b3945 + b4080 + b4122 + b4252 + b4282 + b4433 + b4569
       + b4641 + b4832 + b5162 + b5273 + b5558 + b5718 + b5968 + b6059 + b6158
       + b6260 + b6288 + b6318 + b6330 + b6452 + b6467 + b6486 + b6642 + b6699
       + b6701 + b6705 + b6711 + b6717 + b7256 + b7596 + b7720 + b7843 + b8060
       + b8115 + b8163 + b8347 + b8368 + b8462 + b8541 + b8565 + b8575 + b8576
       + b8789 = 1;

e150:    b19 + b34 + b39 + b71 + b139 + b156 + b188 + b263 + b399 + b484 + b485
       + b596 + b687 + b808 + b1089 + b1130 + b1133 + b1159 + b1207 + b1225
       + b1269 + b1452 + b1469 + b1847 + b1927 + b1970 + b2047 + b2158 + b2160
       + b2194 + b2232 + b2242 + b2243 + b2261 + b2271 + b2291 + b2651 + b2903
       + b2982 + b3093 + b3097 + b3298 + b3375 + b3460 + b3468 + b3883 + b3926
       + b4060 + b4068 + b4080 + b4122 + b4252 + b4400 + b4412 + b4502 + b4523
       + b4549 + b4569 + b4641 + b4832 + b4835 + b4901 + b5194 + b5214 + b5247
       + b5273 + b5299 + b5354 + b5544 + b5558 + b5658 + b5718 + b5775 + b5968
       + b6240 + b6244 + b6288 + b6318 + b6363 + b6377 + b6486 + b6524 + b6529
       + b6642 + b6658 + b6680 + b6717 + b6768 + b6866 + b6893 + b7087 + b7146
       + b7390 + b7498 + b7596 + b7720 + b7780 + b7843 + b8347 + b8368 + b8462
       + b8464 + b8555 + b8565 + b8576 + b8789 + b8900 = 1;

e151:    b19 + b34 + b39 + b71 + b139 + b156 + b188 + b263 + b399 + b484 + b485
       + b596 + b687 + b808 + b1089 + b1130 + b1133 + b1159 + b1207 + b1225
       + b1269 + b1452 + b1469 + b1847 + b1927 + b1970 + b2047 + b2158 + b2160
       + b2194 + b2232 + b2242 + b2243 + b2261 + b2271 + b2291 + b2651 + b2903
       + b2982 + b3093 + b3097 + b3298 + b3375 + b3460 + b3468 + b3883 + b3926
       + b4060 + b4068 + b4080 + b4122 + b4252 + b4400 + b4412 + b4502 + b4523
       + b4549 + b4569 + b4641 + b4832 + b4835 + b4901 + b5194 + b5214 + b5247
       + b5273 + b5299 + b5354 + b5544 + b5558 + b5658 + b5718 + b5775 + b5968
       + b6240 + b6244 + b6288 + b6318 + b6363 + b6377 + b6486 + b6524 + b6529
       + b6642 + b6658 + b6680 + b6717 + b6768 + b6866 + b6893 + b7087 + b7146
       + b7390 + b7498 + b7596 + b7720 + b7780 + b7843 + b8347 + b8368 + b8462
       + b8464 + b8555 + b8565 + b8576 + b8789 + b8900 = 1;

e152:    b596 + b749 + b1043 + b1089 + b1269 + b1660 + b1796 + b1842 + b1906
       + b2066 + b2110 + b2158 + b2194 + b2701 + b2812 + b3366 + b3374 + b4093
       + b4433 + b4688 + b4851 + b5394 + b5493 + b5544 + b5558 + b5590 + b6330
       + b6581 + b6866 + b7053 + b7061 + b7087 + b7175 + b8565 = 1;

e153:    b596 + b749 + b1043 + b1089 + b1269 + b1660 + b1796 + b1842 + b1906
       + b2066 + b2110 + b2158 + b2194 + b2701 + b2812 + b3366 + b3374 + b4093
       + b4433 + b4688 + b4851 + b5394 + b5493 + b5544 + b5558 + b5590 + b6330
       + b6581 + b6866 + b7053 + b7061 + b7087 + b7175 + b8565 = 1;

e154:    b250 + b335 + b375 + b596 + b749 + b1096 + b1660 + b1796 + b1803
       + b1842 + b1906 + b2049 + b2066 + b2071 + b2110 + b2158 + b2194 + b2591
       + b2640 + b2643 + b2682 + b2701 + b2812 + b2970 + b3419 + b3549 + b4046
       + b4068 + b4093 + b4433 + b4824 + b4894 + b4973 + b5047 + b5113 + b5394
       + b5433 + b5493 + b5525 + b5544 + b5558 + b5818 + b6245 + b6330 + b6467
       + b6486 + b6581 + b7053 + b7061 + b7087 + b7088 + b7106 + b7175 + b7272
       + b7286 + b7720 + b7843 + b8446 + b8464 + b8565 = 1;

e155:    b2 + b37 + b58 + b839 + b895 + b1679 + b1685 + b1722 + b1771 + b1937
       + b2021 + b2519 + b2683 + b2967 + b3528 + b3960 + b4481 + b4537 + b4671
       + b4738 + b4803 + b5182 + b5807 + b6340 + b6509 + b6584 + b6913 + b7876
       + b7933 + b8566 + b8573 + b8626 + b8728 + b8812 = 1;

e156:    b58 + b331 + b560 + b838 + b839 + b895 + b1565 + b1679 + b1708 + b1937
       + b2136 + b2519 + b2683 + b2967 + b3475 + b4196 + b4387 + b4481 + b4537
       + b4803 + b5030 + b5182 + b6340 + b6396 + b6509 + b6584 + b6681 + b6913
       + b7582 + b8356 + b8431 + b8566 + b8581 + b8626 + b8812 + b8832 = 1;

e157:    b58 + b63 + b331 + b560 + b838 + b839 + b895 + b1565 + b1673 + b1679
       + b1708 + b1937 + b2136 + b2519 + b2967 + b3475 + b4196 + b4387 + b4481
       + b4537 + b4646 + b4803 + b5030 + b5182 + b5213 + b6340 + b6396 + b6509
       + b6584 + b6681 + b6913 + b7582 + b8277 + b8356 + b8431 + b8581 + b8626
       + b8812 + b8832 = 1;

e158:    b17 + b70 + b101 + b218 + b230 + b233 + b284 + b292 + b300 + b331
       + b336 + b356 + b496 + b560 + b674 + b675 + b715 + b736 + b752 + b763
       + b838 + b846 + b891 + b906 + b999 + b1088 + b1267 + b1272 + b1288
       + b1290 + b1303 + b1319 + b1435 + b1453 + b1528 + b1548 + b1565 + b1613
       + b1636 + b1673 + b1697 + b1708 + b1761 + b1792 + b1806 + b1807 + b1937
       + b1966 + b1978 + b1988 + b2036 + b2081 + b2124 + b2135 + b2157 + b2161
       + b2175 + b2183 + b2184 + b2185 + b2224 + b2257 + b2298 + b2335 + b2441
       + b2526 + b2581 + b2619 + b2692 + b2815 + b2883 + b2888 + b2907 + b2943
       + b2981 + b3000 + b3027 + b3164 + b3271 + b3314 + b3328 + b3430 + b3475
       + b3503 + b3524 + b3540 + b3561 + b3610 + b3648 + b3668 + b3734 + b3803
       + b3880 + b3887 + b3920 + b3936 + b3952 + b3972 + b3993 + b4052 + b4055
       + b4196 + b4219 + b4315 + b4330 + b4347 + b4358 + b4424 + b4441 + b4481
       + b4537 + b4631 + b4726 + b4780 + b4786 + b4803 + b4808 + b4826 + b4912
       + b5007 + b5114 + b5120 + b5142 + b5143 + b5182 + b5225 + b5249 + b5307
       + b5377 + b5389 + b5415 + b5483 + b5494 + b5602 + b5673 + b5685 + b5707
       + b5827 + b5831 + b5832 + b5872 + b6039 + b6050 + b6184 + b6325 + b6340
       + b6417 + b6507 + b6508 + b6509 + b6534 + b6556 + b6590 + b6592 + b6632
       + b6640 + b6651 + b6681 + b6724 + b6799 + b6851 + b6858 + b6876 + b6900
       + b6914 + b6989 + b6994 + b7007 + b7125 + b7157 + b7161 + b7186 + b7227
       + b7414 + b7452 + b7474 + b7483 + b7506 + b7523 + b7554 + b7624 + b7716
       + b7717 + b7842 + b7852 + b7873 + b7892 + b7928 + b7929 + b7931 + b7954
       + b7980 + b8032 + b8063 + b8074 + b8087 + b8093 + b8112 + b8124 + b8204
       + b8226 + b8234 + b8235 + b8255 + b8277 + b8315 + b8372 + b8379 + b8392
       + b8431 + b8469 + b8578 + b8581 + b8582 + b8691 + b8711 + b8763 + b8786
       + b8813 + b8824 + b8876 = 1;

e159:    b17 + b70 + b101 + b218 + b230 + b233 + b284 + b292 + b300 + b331
       + b336 + b356 + b496 + b560 + b715 + b736 + b752 + b763 + b838 + b846
       + b891 + b906 + b999 + b1088 + b1267 + b1272 + b1288 + b1290 + b1303
       + b1319 + b1435 + b1453 + b1528 + b1548 + b1565 + b1613 + b1636 + b1673
       + b1697 + b1708 + b1761 + b1792 + b1807 + b1937 + b1966 + b1978 + b1988
       + b2036 + b2081 + b2124 + b2135 + b2157 + b2161 + b2175 + b2183 + b2184
       + b2185 + b2224 + b2257 + b2298 + b2335 + b2441 + b2526 + b2581 + b2619
       + b2692 + b2815 + b2883 + b2888 + b2907 + b2943 + b2981 + b3000 + b3027
       + b3164 + b3271 + b3314 + b3328 + b3430 + b3475 + b3503 + b3524 + b3540
       + b3561 + b3610 + b3648 + b3668 + b3734 + b3803 + b3880 + b3887 + b3920
       + b3936 + b3952 + b3972 + b3993 + b4052 + b4055 + b4196 + b4219 + b4315
       + b4330 + b4347 + b4358 + b4424 + b4441 + b4481 + b4537 + b4631 + b4726
       + b4780 + b4786 + b4803 + b4808 + b4826 + b4912 + b5007 + b5114 + b5120
       + b5143 + b5182 + b5225 + b5249 + b5307 + b5377 + b5389 + b5415 + b5483
       + b5494 + b5602 + b5673 + b5685 + b5707 + b5827 + b5831 + b5832 + b5872
       + b6039 + b6050 + b6184 + b6325 + b6340 + b6417 + b6507 + b6508 + b6509
       + b6534 + b6556 + b6590 + b6592 + b6632 + b6640 + b6651 + b6681 + b6724
       + b6799 + b6851 + b6858 + b6876 + b6900 + b6914 + b6989 + b6994 + b7007
       + b7125 + b7157 + b7161 + b7186 + b7414 + b7452 + b7474 + b7483 + b7506
       + b7523 + b7554 + b7624 + b7716 + b7717 + b7842 + b7852 + b7873 + b7892
       + b7928 + b7929 + b7931 + b7954 + b7980 + b8032 + b8063 + b8074 + b8087
       + b8093 + b8112 + b8124 + b8204 + b8226 + b8234 + b8235 + b8255 + b8277
       + b8315 + b8372 + b8379 + b8392 + b8431 + b8469 + b8578 + b8581 + b8582
       + b8691 + b8711 + b8763 + b8786 + b8813 + b8824 + b8876 = 1;

e160:    b17 + b48 + b59 + b70 + b218 + b230 + b245 + b810 + b846 + b899 + b906
       + b958 + b999 + b1010 + b1064 + b1088 + b1267 + b1284 + b1324 + b1548
       + b1636 + b1679 + b1722 + b1726 + b1761 + b1771 + b1806 + b1807 + b1914
       + b1988 + b2004 + b2036 + b2081 + b2089 + b2124 + b2135 + b2182 + b2183
       + b2184 + b2185 + b2461 + b2475 + b2489 + b2746 + b2907 + b2967 + b3035
       + b3084 + b3262 + b3314 + b3413 + b3503 + b3553 + b3700 + b3887 + b3895
       + b3898 + b3936 + b3972 + b4143 + b4189 + b4328 + b4347 + b4424 + b4455
       + b4466 + b4481 + b4529 + b4671 + b4738 + b4801 + b4826 + b4943 + b5003
       + b5004 + b5093 + b5114 + b5143 + b5182 + b5213 + b5261 + b5304 + b5365
       + b5483 + b5524 + b5602 + b5611 + b5673 + b5807 + b5823 + b5844 + b5900
       + b6039 + b6050 + b6184 + b6430 + b6487 + b6507 + b6562 + b6584 + b6592
       + b6617 + b6632 + b6640 + b6724 + b6909 + b6913 + b6914 + b6953 + b6965
       + b6989 + b7226 + b7333 + b7353 + b7452 + b7495 + b7523 + b7624 + b7678
       + b7716 + b7717 + b7873 + b7905 + b7931 + b7933 + b8032 + b8074 + b8090
       + b8093 + b8112 + b8158 + b8204 + b8235 + b8255 + b8379 + b8573 + b8578
       + b8584 + b8693 + b8711 + b8763 + b8773 + b8776 + b8786 + b8824 + b8876
       = 1;

e161:    b17 + b48 + b59 + b70 + b218 + b230 + b245 + b810 + b846 + b899 + b906
       + b958 + b999 + b1010 + b1064 + b1088 + b1267 + b1284 + b1324 + b1548
       + b1636 + b1679 + b1722 + b1761 + b1771 + b1806 + b1807 + b1914 + b1988
       + b2004 + b2036 + b2081 + b2124 + b2135 + b2182 + b2183 + b2184 + b2185
       + b2461 + b2475 + b2489 + b2746 + b2907 + b2967 + b3035 + b3084 + b3262
       + b3314 + b3413 + b3503 + b3553 + b3700 + b3887 + b3895 + b3898 + b3936
       + b4143 + b4189 + b4347 + b4424 + b4455 + b4466 + b4481 + b4529 + b4671
       + b4738 + b4826 + b4943 + b5003 + b5004 + b5093 + b5114 + b5143 + b5182
       + b5365 + b5483 + b5602 + b5611 + b5673 + b5807 + b5823 + b5844 + b6039
       + b6050 + b6184 + b6430 + b6507 + b6584 + b6632 + b6640 + b6724 + b6909
       + b6913 + b6914 + b6953 + b6965 + b6989 + b7226 + b7452 + b7495 + b7523
       + b7624 + b7678 + b7710 + b7716 + b7717 + b7873 + b7905 + b7931 + b7933
       + b8032 + b8074 + b8093 + b8112 + b8158 + b8204 + b8235 + b8255 + b8379
       + b8573 + b8578 + b8584 + b8693 + b8711 + b8763 + b8773 + b8776 + b8786
       + b8824 + b8876 = 1;

e162:    b48 + b58 + b85 + b233 + b300 + b325 + b794 + b810 + b895 + b899
       + b999 + b1026 + b1176 + b1267 + b1284 + b1338 + b1536 + b1625 + b1679
       + b1685 + b1722 + b1761 + b1771 + b1914 + b1937 + b2004 + b2182 + b2519
       + b2544 + b2746 + b2967 + b3025 + b3084 + b3155 + b3262 + b3314 + b3503
       + b3520 + b3540 + b3553 + b3600 + b3683 + b3887 + b3895 + b3898 + b3960
       + b4466 + b4481 + b4537 + b4607 + b4667 + b4727 + b4751 + b4774 + b5004
       + b5142 + b5329 + b5415 + b5506 + b5602 + b5611 + b5692 + b5801 + b5807
       + b6184 + b6340 + b6507 + b6509 + b6536 + b6584 + b6632 + b6724 + b6813
       + b6872 + b6909 + b6914 + b6965 + b6976 + b6989 + b6991 + b7015 + b7452
       + b7468 + b7653 + b7678 + b7710 + b7717 + b7933 + b8093 + b8158 + b8409
       + b8573 + b8693 + b8728 + b8738 + b8763 + b8773 + b8786 + b8824 = 1;

e163:    b2 + b37 + b58 + b85 + b245 + b268 + b895 + b1176 + b1679 + b1685
       + b1722 + b1914 + b1937 + b2182 + b2519 + b2967 + b3262 + b3898 + b3960
       + b4481 + b4537 + b4592 + b4671 + b5182 + b5807 + b6340 + b6509 + b6584
       + b6872 + b6913 + b7666 + b7710 + b7933 + b8409 + b8573 + b8728 + b8812
       = 1;

e164:    b2 + b37 + b58 + b245 + b268 + b839 + b895 + b1679 + b1685 + b1722
       + b1937 + b2182 + b2519 + b2683 + b2967 + b3262 + b3960 + b4481 + b4537
       + b4671 + b4803 + b5182 + b5807 + b6340 + b6509 + b6584 + b6872 + b6913
       + b7710 + b7876 + b7933 + b8409 + b8566 + b8573 + b8728 + b8812 = 1;

e165:    b38 + b92 + b169 + b182 + b387 + b420 + b477 + b624 + b645 + b648
       + b701 + b785 + b821 + b846 + b879 + b936 + b1102 + b1183 + b1198
       + b1351 + b1363 + b1367 + b1475 + b1493 + b1532 + b1596 + b1616 + b1668
       + b1736 + b1752 + b1779 + b1821 + b1853 + b1870 + b1917 + b2013 + b2029
       + b2142 + b2176 + b2191 + b2204 + b2282 + b2404 + b2450 + b2453 + b2498
       + b2756 + b2826 + b2899 + b2953 + b2975 + b2986 + b3027 + b3033 + b3039
       + b3105 + b3130 + b3131 + b3172 + b3179 + b3184 + b3223 + b3404 + b3406
       + b3430 + b3475 + b3484 + b3508 + b3575 + b3629 + b3639 + b3646 + b3660
       + b3661 + b3712 + b3721 + b3766 + b3956 + b4076 + b4081 + b4085 + b4095
       + b4097 + b4235 + b4268 + b4269 + b4368 + b4404 + b4420 + b4497 + b4501
       + b4545 + b4629 + b4648 + b4658 + b4686 + b4712 + b4717 + b4759 + b4810
       + b4821 + b4827 + b4884 + b4923 + b4985 + b5064 + b5110 + b5145 + b5210
       + b5269 + b5327 + b5378 + b5417 + b5449 + b5475 + b5548 + b5643 + b5710
       + b5739 + b5746 + b5759 + b5829 + b5842 + b5867 + b5871 + b5913 + b5985
       + b6022 + b6109 + b6317 + b6352 + b6564 + b6591 + b6634 + b6736 + b6767
       + b6771 + b6821 + b6874 + b6916 + b6964 + b7049 + b7092 + b7103 + b7284
       + b7309 + b7389 + b7399 + b7462 + b7523 + b7597 + b7632 + b7639 + b7645
       + b7669 + b7686 + b7727 + b7859 + b7876 + b7916 + b7950 + b7975 + b7982
       + b8017 + b8052 + b8062 + b8103 + b8151 + b8180 + b8285 + b8316 + b8540
       + b8581 + b8679 + b8680 + b8697 + b8710 + b8715 + b8720 + b8784 + b8842
       = 1;

e166:    b38 + b92 + b169 + b182 + b189 + b387 + b420 + b477 + b624 + b645
       + b648 + b701 + b785 + b821 + b846 + b879 + b936 + b1084 + b1102 + b1183
       + b1198 + b1351 + b1363 + b1367 + b1370 + b1475 + b1493 + b1532 + b1596
       + b1616 + b1668 + b1736 + b1752 + b1779 + b1821 + b1853 + b1870 + b1917
       + b2013 + b2029 + b2142 + b2176 + b2191 + b2204 + b2282 + b2404 + b2450
       + b2453 + b2485 + b2498 + b2714 + b2756 + b2826 + b2857 + b2899 + b2953
       + b2975 + b2986 + b3027 + b3033 + b3039 + b3105 + b3130 + b3131 + b3172
       + b3179 + b3184 + b3223 + b3404 + b3406 + b3430 + b3475 + b3484 + b3508
       + b3575 + b3629 + b3639 + b3646 + b3660 + b3661 + b3712 + b3721 + b3766
       + b3956 + b4076 + b4081 + b4085 + b4095 + b4097 + b4235 + b4268 + b4269
       + b4323 + b4342 + b4368 + b4404 + b4420 + b4497 + b4501 + b4545 + b4582
       + b4629 + b4648 + b4658 + b4686 + b4712 + b4717 + b4759 + b4810 + b4821
       + b4827 + b4884 + b4923 + b4985 + b5064 + b5110 + b5145 + b5210 + b5269
       + b5327 + b5378 + b5417 + b5449 + b5475 + b5518 + b5548 + b5643 + b5710
       + b5739 + b5746 + b5759 + b5829 + b5842 + b5867 + b5871 + b5886 + b5913
       + b5985 + b6022 + b6109 + b6317 + b6352 + b6564 + b6591 + b6634 + b6736
       + b6746 + b6767 + b6771 + b6821 + b6852 + b6874 + b6916 + b6964 + b7049
       + b7092 + b7103 + b7284 + b7309 + b7352 + b7389 + b7399 + b7462 + b7523
       + b7597 + b7632 + b7639 + b7645 + b7669 + b7686 + b7727 + b7859 + b7876
       + b7916 + b7950 + b7975 + b7982 + b8017 + b8052 + b8062 + b8103 + b8151
       + b8180 + b8285 + b8316 + b8540 + b8581 + b8679 + b8680 + b8697 + b8710
       + b8715 + b8720 + b8760 + b8784 + b8842 = 1;

e167:    b44 + b54 + b86 + b113 + b182 + b387 + b463 + b501 + b557 + b624
       + b633 + b644 + b701 + b785 + b890 + b1107 + b1164 + b1189 + b1279
       + b1448 + b1616 + b1627 + b1893 + b1949 + b1958 + b1963 + b2176 + b2292
       + b2299 + b2329 + b2349 + b2377 + b2394 + b2418 + b2478 + b2506 + b2826
       + b2899 + b2910 + b2975 + b2991 + b3017 + b3514 + b3619 + b3842 + b4071
       + b4154 + b4262 + b4521 + b4549 + b4827 + b5064 + b5110 + b5591 + b5612
       + b5829 + b5888 + b5998 + b6022 + b6090 + b6170 + b6317 + b6376 + b6483
       + b6743 + b6751 + b6844 + b7049 + b7177 + b7209 + b7247 + b7284 + b7309
       + b7367 + b7420 + b7462 + b7709 + b7721 + b7976 + b8047 + b8161 + b8285
       + b8377 + b8540 + b8577 + b8842 = 1;

e168:    b44 + b54 + b86 + b113 + b182 + b387 + b463 + b501 + b557 + b624
       + b633 + b644 + b701 + b785 + b890 + b1107 + b1164 + b1189 + b1279
       + b1448 + b1616 + b1627 + b1893 + b1949 + b1958 + b1963 + b2176 + b2292
       + b2299 + b2329 + b2349 + b2377 + b2394 + b2418 + b2478 + b2506 + b2826
       + b2899 + b2910 + b2975 + b2991 + b3017 + b3514 + b3619 + b3842 + b4071
       + b4154 + b4262 + b4521 + b4549 + b4827 + b5064 + b5110 + b5591 + b5612
       + b5829 + b5888 + b5998 + b6022 + b6090 + b6170 + b6317 + b6376 + b6483
       + b6743 + b6751 + b6844 + b7049 + b7177 + b7209 + b7247 + b7284 + b7309
       + b7367 + b7420 + b7462 + b7709 + b7721 + b7976 + b8047 + b8161 + b8285
       + b8377 + b8540 + b8577 + b8842 = 1;

e169:    b44 + b54 + b62 + b113 + b138 + b153 + b366 + b387 + b501 + b504
       + b557 + b614 + b624 + b644 + b701 + b730 + b773 + b785 + b1107 + b1164
       + b1189 + b1215 + b1363 + b1558 + b1578 + b1582 + b1616 + b1627 + b1642
       + b1991 + b2176 + b2292 + b2322 + b2329 + b2377 + b2418 + b2446 + b2478
       + b2506 + b2647 + b2899 + b2975 + b2991 + b3619 + b3629 + b3834 + b3842
       + b4071 + b4152 + b4154 + b4521 + b4827 + b5110 + b5591 + b5745 + b5829
       + b5849 + b5864 + b5983 + b5998 + b6090 + b6317 + b6376 + b6483 + b6743
       + b6751 + b6812 + b6819 + b6844 + b6887 + b7049 + b7177 + b7209 + b7284
       + b7309 + b7367 + b7420 + b7462 + b7709 + b7846 + b7975 + b7998 + b8043
       + b8459 + b8540 + b8610 + b8842 = 1;

e170:    b44 + b54 + b62 + b138 + b153 + b366 + b387 + b501 + b644 + b692
       + b701 + b730 + b773 + b785 + b1164 + b1189 + b1363 + b1369 + b1398
       + b1428 + b1578 + b1582 + b1616 + b1627 + b1642 + b1950 + b1991 + b2176
       + b2238 + b2292 + b2322 + b2377 + b2418 + b2446 + b2478 + b2506 + b2647
       + b2899 + b2975 + b3565 + b3629 + b3834 + b3842 + b3894 + b4071 + b4152
       + b4154 + b4480 + b4521 + b4827 + b5110 + b5591 + b5829 + b5849 + b5983
       + b5998 + b6090 + b6317 + b6376 + b6483 + b6497 + b6604 + b6743 + b6751
       + b6819 + b6844 + b7049 + b7177 + b7209 + b7284 + b7309 + b7367 + b7445
       + b7944 + b7975 + b7998 + b8043 + b8098 + b8317 + b8459 + b8540 + b8596
       + b8610 + b8842 + b8884 = 1;

e171:    b41 + b54 + b61 + b138 + b147 + b153 + b423 + b486 + b666 + b692
       + b722 + b785 + b806 + b835 + b991 + b1164 + b1363 + b1369 + b1571
       + b1582 + b1621 + b1628 + b1710 + b1942 + b1949 + b1950 + b1991 + b2000
       + b2013 + b2221 + b2238 + b2284 + b2292 + b2332 + b2397 + b2446 + b2647
       + b2846 + b3145 + b3177 + b3233 + b3629 + b3848 + b3894 + b3900 + b3915
       + b4071 + b4154 + b4207 + b4226 + b4262 + b4407 + b4482 + b4517 + b4518
       + b4541 + b4545 + b4606 + b4684 + b4879 + b4883 + b4939 + b5110 + b5280
       + b5337 + b5745 + b5829 + b5843 + b5983 + b5998 + b6009 + b6022 + b6090
       + b6306 + b6376 + b6624 + b6650 + b6728 + b6733 + b6786 + b6844 + b6871
       + b7041 + b7083 + b7084 + b7192 + b7284 + b7305 + b7369 + b7420 + b7445
       + b7462 + b7466 + b7569 + b7613 + b7652 + b7822 + b7975 + b7998 + b8043
       + b8047 + b8064 + b8114 + b8259 + b8264 + b8283 + b8284 + b8285 + b8317
       + b8540 + b8591 + b8596 + b8601 + b8842 = 1;

e172:    b41 + b54 + b61 + b138 + b147 + b153 + b423 + b486 + b666 + b692
       + b722 + b785 + b806 + b835 + b991 + b1164 + b1363 + b1369 + b1582
       + b1621 + b1628 + b1710 + b1942 + b1949 + b1950 + b1991 + b2000 + b2013
       + b2221 + b2238 + b2284 + b2292 + b2332 + b2377 + b2397 + b2446 + b2647
       + b2846 + b3145 + b3177 + b3233 + b3629 + b3848 + b3894 + b3900 + b3915
       + b4071 + b4154 + b4207 + b4226 + b4262 + b4407 + b4482 + b4517 + b4518
       + b4541 + b4545 + b4606 + b4684 + b4879 + b4883 + b4939 + b5110 + b5280
       + b5337 + b5745 + b5829 + b5843 + b5983 + b5998 + b6009 + b6022 + b6090
       + b6306 + b6376 + b6624 + b6650 + b6728 + b6733 + b6743 + b6786 + b6844
       + b6871 + b7041 + b7083 + b7084 + b7192 + b7284 + b7305 + b7369 + b7420
       + b7445 + b7462 + b7466 + b7569 + b7613 + b7652 + b7822 + b7975 + b7998
       + b8043 + b8047 + b8064 + b8114 + b8259 + b8264 + b8283 + b8284 + b8285
       + b8317 + b8540 + b8591 + b8596 + b8601 + b8842 = 1;

e173:    b277 + b333 + b350 + b529 + b699 + b871 + b1350 + b1418 + b2192
       + b2194 + b2205 + b2387 + b2613 + b2624 + b2953 + b3104 + b3109 + b3537
       + b3563 + b3677 + b3837 + b4180 + b4311 + b4401 + b5145 + b5269 + b5315
       + b5835 + b6015 + b6380 + b6582 + b7012 + b7547 + b7949 + b7977 + b8051
       + b8631 + b8648 + b8839 = 1;

e174:    b139 + b277 + b294 + b350 + b529 + b530 + b699 + b1250 + b1418 + b1577
       + b2068 + b2192 + b2197 + b2205 + b2387 + b2624 + b2700 + b2953 + b3038
       + b3060 + b3104 + b3109 + b3120 + b3186 + b3697 + b3725 + b3856 + b4089
       + b4180 + b4413 + b5018 + b5019 + b5145 + b5256 + b5269 + b5315 + b5439
       + b5615 + b5815 + b5880 + b5974 + b5982 + b6380 + b6437 + b6452 + b6533
       + b6931 + b7491 + b7547 + b7586 + b7639 + b7694 + b8494 + b8662 + b8771
       + b8887 = 1;

e175:    b139 + b277 + b294 + b350 + b529 + b530 + b699 + b919 + b1198 + b1250
       + b1418 + b1577 + b1589 + b1596 + b2068 + b2192 + b2197 + b2205 + b2387
       + b2601 + b2624 + b2700 + b2953 + b3038 + b3060 + b3104 + b3109 + b3120
       + b3131 + b3186 + b3406 + b3484 + b3697 + b3725 + b3856 + b3951 + b4089
       + b4180 + b4413 + b4577 + b5018 + b5019 + b5145 + b5256 + b5269 + b5315
       + b5327 + b5439 + b5615 + b5643 + b5815 + b5880 + b5974 + b5982 + b6380
       + b6437 + b6533 + b6638 + b6931 + b7491 + b7547 + b7586 + b7639 + b7694
       + b7859 + b8494 + b8662 + b8771 + b8887 = 1;

e176:    b294 + b350 + b529 + b699 + b1162 + b1350 + b1418 + b1577 + b1727
       + b2192 + b2205 + b2269 + b2612 + b2624 + b2919 + b3104 + b3120 + b3449
       + b3537 + b3677 + b3829 + b4089 + b4180 + b4401 + b4705 + b5018 + b5019
       + b5053 + b5315 + b5328 + b5579 + b5835 + b5892 + b6203 + b6380 + b6582
       + b6931 + b7518 + b7810 + b7900 + b8051 + b8380 + b8631 + b8749 + b8839
       + b8875 + b8887 = 1;

e177:    b294 + b350 + b529 + b1162 + b1350 + b1418 + b1501 + b1577 + b1727
       + b2192 + b2205 + b2269 + b2612 + b2624 + b2919 + b3104 + b3120 + b3449
       + b3537 + b3677 + b3829 + b4089 + b4180 + b4401 + b4478 + b4705 + b5018
       + b5019 + b5315 + b5328 + b5579 + b5835 + b5892 + b6203 + b6349 + b6380
       + b6582 + b6931 + b7518 + b7810 + b7900 + b8051 + b8380 + b8554 + b8631
       + b8749 + b8839 = 1;

e178:    b294 + b350 + b529 + b1162 + b1350 + b1418 + b1501 + b1577 + b1727
       + b2192 + b2205 + b2269 + b2387 + b2612 + b2624 + b2919 + b3104 + b3120
       + b3449 + b3537 + b3677 + b3829 + b4089 + b4180 + b4401 + b4478 + b4705
       + b5018 + b5019 + b5315 + b5328 + b5579 + b5835 + b5892 + b6203 + b6349
       + b6380 + b6582 + b6931 + b7518 + b7810 + b7900 + b8051 + b8380 + b8554
       + b8631 + b8749 + b8839 = 1;

e179:    b328 + b530 + b1051 + b1350 + b1500 + b1560 + b1866 + b2140 + b2170
       + b2205 + b2387 + b2797 + b3109 + b3483 + b3563 + b3655 + b3829 + b3855
       + b4401 + b4772 + b5018 + b5019 + b5632 + b5660 + b5813 + b5857 + b6582
       + b6615 + b6931 + b7900 + b7937 + b7949 + b7963 + b8068 + b8187 + b8380
       + b8631 + b8839 = 1;

e180:    b328 + b530 + b1051 + b1350 + b1500 + b1560 + b1866 + b2140 + b2170
       + b2205 + b2387 + b2797 + b3109 + b3483 + b3563 + b3655 + b3829 + b3855
       + b4401 + b4772 + b5018 + b5019 + b5632 + b5660 + b5813 + b5857 + b6582
       + b6615 + b6931 + b7900 + b7937 + b7949 + b7963 + b8068 + b8187 + b8380
       + b8631 + b8839 = 1;

e181:    b277 + b333 + b350 + b699 + b871 + b1350 + b1418 + b1481 + b1560
       + b2068 + b2180 + b2205 + b2387 + b2613 + b2624 + b2953 + b3104 + b3109
       + b3537 + b3563 + b3677 + b3837 + b4180 + b4311 + b4401 + b4413 + b5145
       + b5269 + b5315 + b5359 + b5835 + b6015 + b6485 + b6582 + b6664 + b7012
       + b7547 + b7949 + b7977 + b8051 + b8631 + b8648 + b8820 + b8839 + b8865
       = 1;

e182:    b5 + b191 + b201 + b242 + b412 + b493 + b755 + b796 + b887 + b1540
       + b1627 + b1881 + b2248 + b2324 + b2474 + b2478 + b2745 + b2755 + b2769
       + b3001 + b3232 + b3250 + b3842 + b3963 + b4169 + b4439 + b4450 + b4459
       + b4561 + b4797 + b4941 + b4954 + b5247 + b5278 + b5406 + b5605 + b5998
       + b6090 + b6111 + b6115 + b6124 + b6291 + b6399 + b6669 + b6927 + b6938
       + b6975 + b7112 + b7137 + b7607 + b8015 + b8121 + b8169 + b8284 + b8508
       = 1;

e183:    b174 + b191 + b493 + b926 + b1229 + b1503 + b1552 + b1627 + b1881
       + b2441 + b2686 + b2692 + b3217 + b3386 + b3791 + b3807 + b3963 + b4169
       + b4406 + b4439 + b4450 + b4859 + b4888 + b4962 + b5115 + b5278 + b5588
       + b5874 + b5998 + b6115 + b6344 + b6629 + b6669 + b6824 + b6882 + b7137
       + b7324 + b7866 + b8169 + b8181 + b8482 = 1;

e184:    b191 + b926 + b1229 + b1503 + b1552 + b1627 + b1881 + b2441 + b2686
       + b2692 + b3217 + b3386 + b3791 + b3807 + b4169 + b4406 + b4439 + b4450
       + b4859 + b4888 + b4962 + b5115 + b5278 + b5588 + b5874 + b5998 + b6115
       + b6344 + b6629 + b6669 + b7137 + b7324 + b7866 + b8169 + b8181 + b8482
       = 1;

e185:    b926 + b1229 + b1479 + b1655 + b1881 + b2220 + b2304 + b2464 + b2686
       + b2956 + b3160 + b3217 + b3218 + b3493 + b3494 + b3501 + b3558 + b3791
       + b3796 + b3811 + b4018 + b4169 + b4206 + b4439 + b4444 + b4450 + b4496
       + b4670 + b4755 + b4888 + b4962 + b5115 + b5273 + b5278 + b5588 + b6115
       + b6253 + b6547 + b6857 + b6925 + b7137 + b7201 + b7260 + b7324 + b7636
       + b7825 + b7891 + b7894 + b8057 + b8169 + b8179 + b8184 + b8194 + b8482
       + b8587 + b8664 = 1;

e186:    b390 + b398 + b412 + b778 + b924 + b926 + b1139 + b1309 + b1479
       + b1655 + b1881 + b1937 + b2043 + b2278 + b2304 + b2692 + b2710 + b2824
       + b3027 + b3160 + b3169 + b3218 + b3398 + b3475 + b3493 + b3502 + b3558
       + b3598 + b3762 + b3791 + b3822 + b3961 + b4018 + b4053 + b4084 + b4169
       + b4439 + b4450 + b4496 + b4755 + b4797 + b4954 + b5115 + b5266 + b5273
       + b5588 + b5863 + b5963 + b5972 + b6115 + b6232 + b6253 + b7035 + b7260
       + b7304 + b7324 + b7523 + b7615 + b7636 + b7776 + b7825 + b7852 + b7928
       + b7994 + b8099 + b8169 + b8194 + b8482 + b8587 = 1;

e187:    b191 + b408 + b412 + b473 + b733 + b778 + b858 + b926 + b997 + b1178
       + b1655 + b1809 + b2278 + b2464 + b2467 + b2472 + b2786 + b2824 + b3218
       + b3233 + b3268 + b3598 + b3791 + b3804 + b3815 + b3827 + b3963 + b4018
       + b4209 + b4439 + b4450 + b4457 + b4755 + b4797 + b5107 + b5197 + b5278
       + b5406 + b5420 + b5502 + b5588 + b5605 + b6056 + b6115 + b6124 + b6224
       + b6252 + b6669 + b6712 + b6857 + b7035 + b7260 + b7275 + b7304 + b7476
       + b7615 + b7636 + b7652 + b7825 + b7882 + b7894 + b7988 + b7994 + b8099
       + b8169 + b8192 + b8482 + b8587 + b8659 + b8843 = 1;

e188:    b191 + b408 + b412 + b473 + b733 + b778 + b858 + b926 + b997 + b1178
       + b1249 + b1655 + b1809 + b2278 + b2464 + b2467 + b2472 + b2786 + b2824
       + b3218 + b3233 + b3268 + b3598 + b3791 + b3804 + b3815 + b3827 + b3963
       + b4018 + b4209 + b4377 + b4439 + b4450 + b4457 + b4755 + b4797 + b5107
       + b5197 + b5278 + b5406 + b5420 + b5502 + b5588 + b5605 + b6056 + b6115
       + b6124 + b6224 + b6252 + b6669 + b6712 + b6857 + b7035 + b7260 + b7275
       + b7304 + b7476 + b7615 + b7636 + b7652 + b7825 + b7882 + b7894 + b7988
       + b7994 + b8099 + b8169 + b8192 + b8482 + b8587 + b8659 + b8843 = 1;

e189:    b127 + b191 + b408 + b412 + b473 + b656 + b707 + b717 + b733 + b778
       + b858 + b926 + b982 + b997 + b1178 + b1249 + b1655 + b1809 + b1881
       + b2024 + b2278 + b2408 + b2464 + b2467 + b2472 + b2755 + b2786 + b3218
       + b3233 + b3268 + b3279 + b3598 + b3791 + b3804 + b3815 + b3827 + b3963
       + b4018 + b4209 + b4377 + b4412 + b4439 + b4450 + b4457 + b4755 + b4797
       + b4954 + b5107 + b5197 + b5278 + b5406 + b5420 + b5466 + b5498 + b5502
       + b5588 + b5605 + b6056 + b6115 + b6124 + b6224 + b6252 + b6524 + b6627
       + b6669 + b6712 + b6857 + b7035 + b7260 + b7275 + b7476 + b7615 + b7636
       + b7652 + b7825 + b7882 + b7894 + b7988 + b8099 + b8169 + b8192 + b8482
       + b8587 + b8659 + b8843 = 1;

e190:    b98 + b127 + b191 + b242 + b339 + b412 + b469 + b473 + b629 + b707
       + b778 + b858 + b982 + b1539 + b1881 + b2097 + b2171 + b2324 + b2408
       + b2474 + b2755 + b2786 + b3001 + b3133 + b3276 + b3279 + b3364 + b3598
       + b3711 + b3963 + b3981 + b4244 + b4377 + b4450 + b4755 + b4797 + b4881
       + b4906 + b4954 + b5079 + b5197 + b5278 + b5406 + b5498 + b5502 + b5588
       + b5605 + b6115 + b6224 + b6291 + b6455 + b6627 + b6669 + b6810 + b6830
       + b6857 + b7636 + b7811 + b8492 + b8536 + b8703 + b8737 + b8781 = 1;

e191:    b98 + b127 + b191 + b242 + b339 + b412 + b469 + b473 + b629 + b707
       + b778 + b858 + b982 + b1539 + b1881 + b2097 + b2171 + b2324 + b2408
       + b2474 + b2755 + b2786 + b3001 + b3133 + b3276 + b3279 + b3364 + b3598
       + b3711 + b3963 + b3981 + b4244 + b4377 + b4450 + b4755 + b4797 + b4881
       + b4906 + b4954 + b5079 + b5197 + b5278 + b5406 + b5498 + b5502 + b5588
       + b5605 + b6224 + b6291 + b6455 + b6627 + b6669 + b6810 + b6830 + b6857
       + b7636 + b7811 + b8492 + b8536 + b8703 + b8737 + b8781 = 1;

e192:    b5 + b191 + b242 + b412 + b493 + b755 + b796 + b887 + b1540 + b1881
       + b2171 + b2248 + b2324 + b2418 + b2474 + b2755 + b3001 + b3779 + b3842
       + b3963 + b4169 + b4377 + b4450 + b4459 + b4561 + b4797 + b4941 + b4954
       + b5278 + b5406 + b5605 + b6090 + b6111 + b6115 + b6291 + b6627 + b6669
       + b6844 + b6975 + b7112 + b7137 + b7607 + b8015 + b8169 + b8508 = 1;

e193:    b441 + b554 + b664 + b864 + b894 + b1208 + b1223 + b1265 + b1266
       + b1378 + b1481 + b1602 + b1644 + b1972 + b2032 + b2068 + b2180 + b2295
       + b2423 + b2468 + b2644 + b2855 + b2865 + b2880 + b3127 + b3180 + b3204
       + b3216 + b3362 + b3367 + b3743 + b3779 + b3820 + b3836 + b3912 + b4137
       + b4153 + b4202 + b4413 + b4630 + b5061 + b5075 + b5330 + b5359 + b5499
       + b5536 + b5664 + b5737 + b6079 + b6259 + b6268 + b6269 + b6383 + b6408
       + b6453 + b6485 + b6647 + b6664 + b6765 + b6920 + b7047 + b7069 + b7116
       + b7635 + b7762 + b7783 + b7784 + b8162 + b8232 + b8261 + b8287 + b8302
       + b8331 + b8378 + b8602 + b8613 + b8663 + b8820 + b8865 = 1;

e194:    b35 + b554 + b664 + b886 + b894 + b978 + b1014 + b1223 + b1265 + b1266
       + b1317 + b1378 + b1457 + b1481 + b1526 + b1602 + b1644 + b2180 + b2236
       + b2423 + b2605 + b2844 + b2937 + b3038 + b3127 + b3168 + b3180 + b3204
       + b3216 + b3237 + b3256 + b3417 + b3431 + b3586 + b3651 + b3735 + b3743
       + b3779 + b3820 + b3836 + b3912 + b4121 + b4137 + b4153 + b4186 + b4592
       + b4630 + b4678 + b4870 + b4880 + b5359 + b5379 + b5384 + b5459 + b5582
       + b5654 + b5664 + b6079 + b6244 + b6259 + b6268 + b6485 + b6644 + b6647
       + b6660 + b6765 + b6920 + b6959 + b7030 + b7069 + b7118 + b7264 + b7269
       + b7278 + b7336 + b7610 + b7635 + b7666 + b7960 + b8094 + b8137 + b8162
       + b8232 + b8261 + b8511 + b8820 + b8865 = 1;

e195:    b35 + b272 + b388 + b554 + b636 + b664 + b784 + b886 + b978 + b1014
       + b1223 + b1265 + b1266 + b1294 + b1411 + b1457 + b1481 + b1526 + b1602
       + b1641 + b1837 + b1840 + b1895 + b2006 + b2063 + b2180 + b2236 + b2423
       + b2605 + b2794 + b2844 + b2937 + b3012 + b3038 + b3127 + b3168 + b3204
       + b3216 + b3237 + b3256 + b3417 + b3586 + b3642 + b3651 + b3735 + b3743
       + b3779 + b3820 + b3836 + b3912 + b4101 + b4121 + b4186 + b4338 + b4592
       + b4630 + b4678 + b4792 + b4870 + b4880 + b5026 + b5037 + b5104 + b5379
       + b5384 + b5459 + b5582 + b5654 + b5664 + b5781 + b6079 + b6244 + b6268
       + b6285 + b6485 + b6644 + b6647 + b6660 + b6765 + b6920 + b6959 + b7028
       + b7030 + b7069 + b7118 + b7264 + b7269 + b7278 + b7310 + b7336 + b7423
       + b7610 + b7635 + b7666 + b7960 + b7967 + b8002 + b8094 + b8137 + b8162
       + b8261 + b8497 + b8511 + b8656 + b8820 + b8851 + b8865 = 1;

e196:    b31 + b272 + b388 + b427 + b492 + b505 + b511 + b554 + b664 + b784
       + b789 + b886 + b951 + b978 + b1136 + b1223 + b1259 + b1260 + b1266
       + b1294 + b1411 + b1457 + b1602 + b1641 + b1830 + b1840 + b1895 + b1934
       + b2006 + b2049 + b2063 + b2228 + b2236 + b2340 + b2376 + b2605 + b2754
       + b2758 + b2794 + b2844 + b3012 + b3038 + b3127 + b3168 + b3237 + b3256
       + b3417 + b3586 + b3642 + b3779 + b3820 + b3836 + b3889 + b3912 + b3938
       + b3988 + b4022 + b4047 + b4101 + b4186 + b4338 + b4592 + b4792 + b4880
       + b4886 + b5026 + b5037 + b5104 + b5273 + b5362 + b5379 + b5436 + b5442
       + b5459 + b5656 + b5663 + b5664 + b5665 + b5671 + b5781 + b6030 + b6079
       + b6180 + b6251 + b6259 + b6268 + b6285 + b6467 + b6646 + b6647 + b6660
       + b6701 + b6820 + b7028 + b7030 + b7130 + b7141 + b7264 + b7278 + b7310
       + b7336 + b7423 + b7610 + b7635 + b7658 + b7666 + b7824 + b7967 + b8002
       + b8094 + b8261 + b8312 + b8328 + b8337 + b8466 + b8497 + b8522 + b8656
       = 1;

e197:    b37 + b272 + b427 + b511 + b554 + b601 + b621 + b664 + b784 + b789
       + b951 + b1070 + b1136 + b1259 + b1260 + b1457 + b1602 + b1646 + b1830
       + b1840 + b1895 + b1969 + b1995 + b1996 + b2047 + b2376 + b2605 + b2734
       + b2844 + b3012 + b3295 + b3363 + b3417 + b3529 + b3571 + b3586 + b3779
       + b3820 + b3836 + b3889 + b3971 + b3988 + b4022 + b4047 + b4101 + b4186
       + b4880 + b5250 + b5512 + b5654 + b5656 + b5663 + b5665 + b5717 + b5781
       + b6016 + b6251 + b6259 + b6268 + b6520 + b6646 + b6647 + b6660 + b6662
       + b7030 + b7264 + b7278 + b7336 + b7423 + b7824 + b7934 + b8337 + b8466
       + b8522 + b8783 = 1;

e198:    b324 + b388 + b600 + b664 + b745 + b781 + b789 + b838 + b1030 + b1070
       + b1136 + b1208 + b1259 + b1265 + b1311 + b1427 + b1526 + b1830 + b1947
       + b1969 + b2032 + b2295 + b2510 + b2521 + b2605 + b2658 + b2844 + b2855
       + b2864 + b2865 + b2937 + b3012 + b3127 + b3204 + b3240 + b3350 + b3360
       + b3367 + b3417 + b3889 + b4186 + b4202 + b4511 + b4788 + b4880 + b4909
       + b5250 + b5273 + b5573 + b5654 + b5663 + b5664 + b6183 + b6251 + b6259
       + b6268 + b6394 + b6408 + b6647 + b6920 + b6959 + b7278 + b7643 + b7725
       + b7758 + b7777 + b7784 + b7824 + b8094 + b8121 + b8783 = 1;

e199:    b324 + b388 + b789 + b838 + b1136 + b1208 + b1947 + b2032 + b2295
       + b2510 + b2734 + b3012 + b3127 + b3143 + b3204 + b3417 + b3889 + b4186
       + b4511 + b5250 + b5330 + b5573 + b5654 + b6269 + b6383 + b6408 + b6453
       + b6647 + b7116 + b7758 + b7824 + b8094 + b8121 = 1;

e200:    b324 + b388 + b789 + b838 + b1136 + b1208 + b1947 + b2032 + b2295
       + b2734 + b3012 + b3127 + b3143 + b3204 + b3417 + b3889 + b4186 + b5250
       + b5330 + b5499 + b5573 + b5654 + b6269 + b6383 + b6408 + b6453 + b6647
       + b7116 + b7758 + b7824 + b8094 + b8121 = 1;

e201:    b388 + b441 + b664 + b864 + b1136 + b1208 + b1223 + b1265 + b1378
       + b1830 + b1972 + b2032 + b2295 + b2468 + b2644 + b2855 + b2865 + b2880
       + b3012 + b3127 + b3204 + b3367 + b3889 + b4202 + b5061 + b5075 + b5330
       + b5499 + b5536 + b5664 + b5737 + b6259 + b6268 + b6269 + b6383 + b6408
       + b6453 + b6647 + b6920 + b7047 + b7116 + b7762 + b7784 + b7824 + b8121
       + b8163 + b8287 + b8302 + b8331 + b8378 + b8613 = 1;

e202:    b75 + b116 + b226 + b250 + b335 + b356 + b375 + b399 + b460 + b596
       + b634 + b638 + b712 + b749 + b779 + b862 + b900 + b1025 + b1080 + b1081
       + b1096 + b1320 + b1387 + b1389 + b1442 + b1660 + b1661 + b1690 + b1701
       + b1796 + b1803 + b1826 + b1842 + b1906 + b1920 + b2049 + b2066 + b2071
       + b2096 + b2330 + b2433 + b2591 + b2640 + b2641 + b2643 + b2661 + b2682
       + b2701 + b2812 + b2969 + b2970 + b3042 + b3083 + b3097 + b3137 + b3151
       + b3329 + b3399 + b3419 + b3549 + b3633 + b3831 + b3847 + b3889 + b3917
       + b3938 + b3974 + b4046 + b4068 + b4077 + b4093 + b4114 + b4238 + b4346
       + b4377 + b4419 + b4655 + b4663 + b4668 + b4689 + b4747 + b4767 + b4808
       + b4824 + b4894 + b4918 + b4949 + b4973 + b5047 + b5113 + b5146 + b5194
       + b5324 + b5386 + b5388 + b5393 + b5394 + b5433 + b5493 + b5497 + b5503
       + b5508 + b5525 + b5544 + b5708 + b5771 + b5797 + b5818 + b5906 + b6033
       + b6064 + b6067 + b6120 + b6136 + b6201 + b6234 + b6245 + b6289 + b6310
       + b6330 + b6364 + b6467 + b6486 + b6627 + b6763 + b6856 + b6864 + b6912
       + b7053 + b7087 + b7088 + b7106 + b7174 + b7175 + b7272 + b7286 + b7315
       + b7373 + b7398 + b7562 + b7583 + b7675 + b7813 + b7824 + b7843 + b7868
       + b7979 + b8010 + b8186 + b8242 + b8247 + b8268 + b8312 + b8328 + b8352
       + b8406 + b8435 + b8446 + b8464 + b8473 + b8565 + b8575 + b8585 + b8806
       = 1;

e203:    b30 + b221 + b226 + b373 + b426 + b445 + b459 + b460 + b562 + b584
       + b625 + b634 + b683 + b712 + b739 + b779 + b804 + b808 + b848 + b900
       + b990 + b1068 + b1080 + b1081 + b1320 + b1387 + b1389 + b1473 + b1509
       + b1690 + b1742 + b1804 + b1826 + b1842 + b1906 + b1920 + b2253 + b2271
       + b2330 + b2331 + b2433 + b2549 + b2571 + b2591 + b2609 + b2640 + b2650
       + b2661 + b2682 + b2881 + b2882 + b2913 + b2970 + b2977 + b2978 + b3004
       + b3097 + b3151 + b3269 + b3300 + b3309 + b3342 + b3389 + b3419 + b3463
       + b3542 + b3549 + b3562 + b3594 + b3623 + b3634 + b3678 + b3693 + b3710
       + b3878 + b3889 + b3892 + b3938 + b4009 + b4068 + b4077 + b4114 + b4274
       + b4377 + b4405 + b4419 + b4498 + b4499 + b4510 + b4514 + b4526 + b4655
       + b4663 + b4668 + b4736 + b4747 + b4767 + b4808 + b4814 + b4824 + b4855
       + b4924 + b5057 + b5090 + b5113 + b5160 + b5170 + b5324 + b5393 + b5433
       + b5484 + b5522 + b5525 + b5716 + b5797 + b5818 + b5868 + b5906 + b6064
       + b6086 + b6136 + b6140 + b6160 + b6289 + b6321 + b6330 + b6461 + b6467
       + b6627 + b6699 + b6711 + b6730 + b6763 + b6856 + b6912 + b7032 + b7088
       + b7106 + b7272 + b7286 + b7397 + b7398 + b7744 + b7746 + b7814 + b7843
       + b7868 + b7979 + b7986 + b8185 + b8186 + b8228 + b8247 + b8312 + b8328
       + b8329 + b8352 + b8381 + b8406 + b8422 + b8435 + b8446 + b8565 + b8575
       + b8585 + b8592 + b8730 + b8794 + b8830 = 1;

e204:    b30 + b221 + b226 + b373 + b426 + b445 + b459 + b460 + b562 + b584
       + b625 + b634 + b683 + b712 + b739 + b779 + b804 + b848 + b900 + b990
       + b1068 + b1080 + b1081 + b1320 + b1387 + b1389 + b1473 + b1509 + b1690
       + b1742 + b1804 + b1826 + b1842 + b1920 + b2253 + b2330 + b2331 + b2433
       + b2549 + b2571 + b2591 + b2609 + b2640 + b2650 + b2661 + b2881 + b2882
       + b2913 + b2970 + b2977 + b2978 + b3004 + b3097 + b3151 + b3269 + b3300
       + b3309 + b3342 + b3389 + b3542 + b3549 + b3562 + b3594 + b3623 + b3634
       + b3678 + b3693 + b3710 + b3878 + b3889 + b3892 + b3938 + b4009 + b4068
       + b4077 + b4114 + b4274 + b4377 + b4405 + b4419 + b4498 + b4499 + b4510
       + b4514 + b4526 + b4655 + b4663 + b4668 + b4736 + b4747 + b4767 + b4808
       + b4814 + b4824 + b4855 + b4924 + b5057 + b5090 + b5113 + b5160 + b5170
       + b5324 + b5393 + b5433 + b5484 + b5522 + b5525 + b5716 + b5797 + b5818
       + b5868 + b5906 + b6064 + b6086 + b6136 + b6140 + b6160 + b6289 + b6321
       + b6461 + b6467 + b6627 + b6730 + b6763 + b6856 + b6912 + b7032 + b7088
       + b7106 + b7272 + b7286 + b7397 + b7398 + b7744 + b7746 + b7814 + b7868
       + b7979 + b7986 + b8185 + b8186 + b8228 + b8247 + b8312 + b8328 + b8329
       + b8352 + b8381 + b8406 + b8422 + b8435 + b8446 + b8585 + b8592 + b8730
       + b8794 + b8830 = 1;

e205:    b30 + b99 + b207 + b426 + b445 + b580 + b680 + b767 + b779 + b804
       + b852 + b1067 + b1068 + b1074 + b1081 + b1320 + b1329 + b1634 + b1666
       + b1709 + b1742 + b1826 + b1842 + b1899 + b1920 + b2026 + b2156 + b2274
       + b2304 + b2423 + b2433 + b2442 + b2549 + b2609 + b2642 + b2881 + b2913
       + b2939 + b3043 + b3074 + b3082 + b3097 + b3151 + b3175 + b3216 + b3269
       + b3300 + b3342 + b3354 + b3580 + b3633 + b3634 + b3678 + b3710 + b3742
       + b3773 + b3786 + b3797 + b3862 + b3892 + b3954 + b4217 + b4377 + b4405
       + b4452 + b4498 + b4526 + b4630 + b4663 + b4689 + b4747 + b4767 + b4794
       + b4855 + b4870 + b4949 + b5031 + b5090 + b5200 + b5305 + b5388 + b5393
       + b5484 + b5496 + b5531 + b5607 + b5716 + b5797 + b5824 + b6083 + b6086
       + b6140 + b6244 + b6290 + b6594 + b6627 + b6694 + b6899 + b6912 + b7032
       + b7054 + b7398 + b7418 + b7484 + b7513 + b7524 + b7530 + b7659 + b7675
       + b7734 + b7744 + b7746 + b7747 + b7759 + b7813 + b7868 + b7979 + b7986
       + b8092 + b8147 + b8185 + b8193 + b8228 + b8242 + b8293 + b8329 + b8352
       + b8388 + b8406 + b8434 + b8500 + b8592 + b8787 + b8794 + b8806 + b8815
       + b8830 = 1;

e206:    b30 + b99 + b207 + b426 + b445 + b580 + b680 + b767 + b779 + b804
       + b852 + b1067 + b1068 + b1074 + b1081 + b1329 + b1634 + b1666 + b1690
       + b1704 + b1709 + b1742 + b1826 + b1842 + b1899 + b1920 + b2026 + b2156
       + b2274 + b2304 + b2423 + b2433 + b2442 + b2549 + b2609 + b2642 + b2881
       + b2913 + b2939 + b3043 + b3074 + b3082 + b3097 + b3151 + b3175 + b3216
       + b3269 + b3300 + b3342 + b3354 + b3580 + b3634 + b3678 + b3710 + b3742
       + b3773 + b3786 + b3797 + b3831 + b3862 + b3892 + b3917 + b3954 + b4217
       + b4377 + b4405 + b4452 + b4498 + b4526 + b4630 + b4663 + b4689 + b4747
       + b4767 + b4794 + b4855 + b4870 + b4949 + b5031 + b5090 + b5200 + b5305
       + b5388 + b5393 + b5484 + b5496 + b5531 + b5607 + b5716 + b5797 + b5824
       + b6083 + b6086 + b6140 + b6244 + b6290 + b6594 + b6627 + b6694 + b6899
       + b6912 + b7032 + b7054 + b7398 + b7418 + b7484 + b7513 + b7524 + b7530
       + b7659 + b7675 + b7734 + b7744 + b7746 + b7747 + b7759 + b7813 + b7868
       + b7979 + b7986 + b8092 + b8147 + b8185 + b8193 + b8228 + b8242 + b8352
       + b8406 + b8434 + b8500 + b8592 + b8787 + b8794 + b8806 + b8815 + b8830
       = 1;

e207:    b32 + b148 + b214 + b232 + b249 + b269 + b286 + b348 + b409 + b428
       + b443 + b459 + b460 + b512 + b580 + b635 + b680 + b682 + b767 + b779
       + b831 + b891 + b901 + b1005 + b1015 + b1074 + b1083 + b1105 + b1141
       + b1320 + b1372 + b1441 + b1580 + b1634 + b1661 + b1671 + b1680 + b1683
       + b1690 + b1704 + b1772 + b1899 + b2026 + b2152 + b2164 + b2274 + b2342
       + b2423 + b2442 + b2553 + b2557 + b2560 + b2640 + b2641 + b2643 + b2650
       + b2661 + b2701 + b2881 + b2913 + b2951 + b2970 + b3074 + b3138 + b3151
       + b3189 + b3216 + b3309 + b3335 + b3399 + b3465 + b3499 + b3527 + b3554
       + b3633 + b3773 + b3786 + b3797 + b3831 + b3862 + b3914 + b3917 + b3938
       + b3944 + b3954 + b3975 + b4005 + b4048 + b4055 + b4115 + b4147 + b4263
       + b4294 + b4332 + b4377 + b4381 + b4435 + b4463 + b4557 + b4663 + b4689
       + b4706 + b4732 + b4747 + b4870 + b4894 + b5022 + b5087 + b5090 + b5104
       + b5223 + b5370 + b5388 + b5511 + b5522 + b5532 + b5540 + b5567 + b5596
       + b5627 + b5689 + b5696 + b5740 + b5771 + b5780 + b5796 + b5833 + b5838
       + b6021 + b6030 + b6083 + b6086 + b6129 + b6136 + b6139 + b6140 + b6202
       + b6289 + b6290 + b6299 + b6500 + b6511 + b6552 + b6583 + b6594 + b6599
       + b6611 + b6694 + b6715 + b6766 + b6893 + b6939 + b6987 + b6994 + b7000
       + b7004 + b7011 + b7053 + b7060 + b7069 + b7099 + b7106 + b7118 + b7142
       + b7174 + b7397 + b7398 + b7418 + b7446 + b7490 + b7524 + b7533 + b7621
       + b7630 + b7659 + b7675 + b7736 + b7744 + b7803 + b7813 + b7868 + b7874
       + b7913 + b7940 + b7947 + b7986 + b7992 + b8001 + b8010 + b8109 + b8147
       + b8185 + b8186 + b8214 + b8228 + b8263 + b8268 + b8289 + b8312 + b8334
       + b8406 + b8411 + b8491 + b8500 + b8686 + b8731 + b8800 + b8901 = 1;

e208:    b32 + b148 + b214 + b232 + b249 + b269 + b286 + b348 + b409 + b428
       + b443 + b459 + b460 + b512 + b580 + b635 + b680 + b682 + b767 + b779
       + b831 + b891 + b901 + b1005 + b1015 + b1074 + b1083 + b1105 + b1141
       + b1320 + b1372 + b1441 + b1580 + b1634 + b1661 + b1671 + b1680 + b1683
       + b1690 + b1704 + b1772 + b1899 + b2026 + b2152 + b2164 + b2274 + b2342
       + b2423 + b2442 + b2553 + b2557 + b2560 + b2640 + b2641 + b2643 + b2650
       + b2661 + b2701 + b2881 + b2913 + b2951 + b2970 + b3074 + b3138 + b3151
       + b3189 + b3216 + b3309 + b3335 + b3399 + b3465 + b3499 + b3527 + b3554
       + b3633 + b3773 + b3786 + b3797 + b3831 + b3862 + b3914 + b3917 + b3938
       + b3944 + b3954 + b3975 + b4005 + b4048 + b4055 + b4115 + b4147 + b4294
       + b4332 + b4381 + b4435 + b4463 + b4557 + b4663 + b4689 + b4706 + b4732
       + b4747 + b4870 + b4894 + b5022 + b5087 + b5090 + b5104 + b5223 + b5370
       + b5388 + b5511 + b5522 + b5532 + b5540 + b5567 + b5596 + b5627 + b5689
       + b5696 + b5740 + b5771 + b5780 + b5796 + b5833 + b5838 + b6021 + b6030
       + b6083 + b6086 + b6129 + b6136 + b6139 + b6140 + b6202 + b6289 + b6290
       + b6299 + b6500 + b6511 + b6552 + b6583 + b6594 + b6599 + b6694 + b6715
       + b6766 + b6893 + b6939 + b6987 + b6994 + b7000 + b7004 + b7011 + b7053
       + b7060 + b7069 + b7099 + b7106 + b7118 + b7142 + b7174 + b7397 + b7398
       + b7418 + b7446 + b7490 + b7524 + b7533 + b7621 + b7630 + b7659 + b7675
       + b7736 + b7744 + b7803 + b7813 + b7868 + b7874 + b7913 + b7940 + b7947
       + b7986 + b7992 + b8001 + b8010 + b8109 + b8147 + b8185 + b8186 + b8214
       + b8228 + b8263 + b8268 + b8289 + b8312 + b8334 + b8406 + b8411 + b8491
       + b8500 + b8686 + b8901 = 1;

e209:    b116 + b207 + b459 + b460 + b634 + b779 + b831 + b1105 + b1320 + b1442
       + b1485 + b1661 + b1690 + b1701 + b1920 + b2330 + b2423 + b2640 + b2641
       + b2643 + b2661 + b2701 + b2970 + b2978 + b3083 + b3151 + b3216 + b3335
       + b3399 + b3633 + b3831 + b3917 + b3938 + b4114 + b4419 + b4605 + b4689
       + b4767 + b4894 + b4918 + b4949 + b5386 + b5388 + b5771 + b6136 + b6289
       + b6364 + b6765 + b7053 + b7069 + b7106 + b7118 + b7174 + b7303 + b7587
       + b7675 + b7813 + b7868 + b8010 + b8147 + b8186 + b8242 + b8268 + b8312
       + b8585 + b8636 = 1;

e210:    b116 + b201 + b207 + b634 + b779 + b831 + b1320 + b1442 + b1655
       + b1661 + b1690 + b1701 + b1920 + b2018 + b2096 + b2330 + b2640 + b2641
       + b2661 + b2908 + b3042 + b3083 + b3216 + b3335 + b3399 + b3633 + b3831
       + b3917 + b3938 + b4114 + b4419 + b4605 + b4689 + b4767 + b4918 + b4949
       + b5386 + b5388 + b5771 + b6037 + b6136 + b6289 + b6310 + b6364 + b6765
       + b6864 + b6927 + b6975 + b7053 + b7069 + b7398 + b7587 + b7675 + b7813
       + b8010 + b8147 + b8186 + b8242 + b8268 + b8312 + b8585 + b8636 = 1;

e211:    b75 + b116 + b179 + b201 + b207 + b226 + b356 + b399 + b460 + b634
       + b638 + b712 + b779 + b862 + b900 + b1025 + b1080 + b1081 + b1320
       + b1387 + b1389 + b1442 + b1661 + b1690 + b1701 + b1826 + b1920 + b2096
       + b2261 + b2330 + b2423 + b2433 + b2641 + b2651 + b2661 + b2745 + b2769
       + b2969 + b3042 + b3083 + b3097 + b3137 + b3151 + b3216 + b3250 + b3329
       + b3399 + b3633 + b3831 + b3847 + b3917 + b3938 + b3974 + b4077 + b4114
       + b4238 + b4346 + b4419 + b4630 + b4655 + b4663 + b4689 + b4747 + b4767
       + b4808 + b4918 + b4949 + b5146 + b5194 + b5247 + b5324 + b5386 + b5388
       + b5393 + b5497 + b5503 + b5508 + b5708 + b5750 + b5771 + b5797 + b5906
       + b6033 + b6064 + b6067 + b6120 + b6136 + b6201 + b6234 + b6289 + b6310
       + b6364 + b6399 + b6705 + b6717 + b6763 + b6765 + b6856 + b6864 + b6912
       + b6927 + b7069 + b7174 + b7315 + b7373 + b7398 + b7562 + b7583 + b7635
       + b7675 + b7813 + b7868 + b7979 + b8010 + b8162 + b8186 + b8242 + b8247
       + b8268 + b8312 + b8328 + b8352 + b8406 + b8435 + b8473 + b8575 + b8585
       + b8806 = 1;

e212:    b79 + b80 + b388 + b784 + b847 + b864 + b1136 + b1538 + b1830 + b2644
       + b2928 + b3012 + b3040 + b3145 + b3234 + b3789 + b4547 + b4792 + b5264
       + b5267 + b5330 + b5337 + b5402 + b5581 + b5927 + b6269 + b7028 + b7415
       + b7423 + b7521 = 1;

e213:    b54 + b79 + b80 + b272 + b388 + b417 + b480 + b551 + b569 + b731
       + b784 + b847 + b864 + b889 + b987 + b1040 + b1120 + b1275 + b1282
       + b1294 + b1301 + b1411 + b1507 + b1602 + b1639 + b1641 + b1830 + b1837
       + b1840 + b1863 + b1895 + b1971 + b2006 + b2063 + b2313 + b2377 + b2384
       + b2400 + b2644 + b2704 + b2716 + b2727 + b2756 + b2794 + b2928 + b2962
       + b2982 + b3012 + b3040 + b3059 + b3234 + b3294 + b3340 + b3642 + b3760
       + b3789 + b3863 + b3909 + b3912 + b4101 + b4194 + b4210 + b4223 + b4338
       + b4547 + b4792 + b4932 + b4938 + b5026 + b5034 + b5037 + b5173 + b5267
       + b5330 + b5363 + b5468 + b5487 + b5562 + b5620 + b5719 + b5781 + b5793
       + b5843 + b5887 + b6004 + b6268 + b6269 + b6285 + b6378 + b6384 + b6410
       + b6445 + b6476 + b6743 + b6815 + b6952 + b7028 + b7110 + b7140 + b7209
       + b7310 + b7415 + b7423 + b7489 + b7521 + b7546 + b7618 + b7684 + b7769
       + b7967 + b7981 + b8002 + b8222 + b8299 + b8462 + b8497 + b8590 + b8620
       + b8656 + b8851 = 1;

e214:    b54 + b79 + b80 + b163 + b417 + b480 + b551 + b569 + b847 + b864
       + b889 + b894 + b987 + b1040 + b1120 + b1275 + b1282 + b1301 + b1450
       + b1507 + b1602 + b1639 + b1644 + b1647 + b1830 + b1863 + b1971 + b2313
       + b2377 + b2414 + b2644 + b2704 + b2727 + b2756 + b2928 + b2982 + b3040
       + b3180 + b3234 + b3294 + b3340 + b3489 + b3760 + b3777 + b3789 + b3863
       + b3909 + b3912 + b4137 + b4153 + b4210 + b4223 + b4547 + b4696 + b4932
       + b4938 + b5034 + b5267 + b5330 + b5363 + b5381 + b5468 + b5487 + b5562
       + b5620 + b5719 + b5793 + b5843 + b5887 + b5956 + b6004 + b6259 + b6268
       + b6269 + b6378 + b6384 + b6410 + b6445 + b6476 + b6743 + b6855 + b6952
       + b7110 + b7140 + b7209 + b7415 + b7521 + b7546 + b7618 + b7684 + b7769
       + b7981 + b8059 + b8222 + b8232 + b8299 + b8462 + b8590 + b8620 = 1;

e215:    b79 + b272 + b290 + b417 + b480 + b551 + b569 + b847 + b894 + b1120
       + b1275 + b1282 + b1294 + b1411 + b1507 + b2006 + b2063 + b2727 + b2775
       + b2794 + b2928 + b3180 + b3340 + b3557 + b3642 + b3777 + b3865 + b3909
       + b4153 + b4223 + b4338 + b4547 + b4696 + b4932 + b5034 + b5037 + b5264
       + b5344 + b5363 + b5381 + b5468 + b5487 + b5549 + b5620 + b5781 + b5793
       + b5887 + b5956 + b6445 + b6952 + b7140 + b7216 + b7546 + b7603 + b7618
       + b7769 + b7967 + b8002 + b8013 + b8222 + b8620 + b8656 = 1;

e216:    b79 + b272 + b290 + b417 + b480 + b501 + b551 + b563 + b569 + b847
       + b894 + b1120 + b1275 + b1282 + b1294 + b1369 + b1411 + b1507 + b2006
       + b2063 + b2377 + b2727 + b2775 + b2794 + b2909 + b2928 + b3177 + b3180
       + b3340 + b3557 + b3642 + b3777 + b3865 + b3909 + b4153 + b4223 + b4338
       + b4547 + b4696 + b4932 + b5034 + b5037 + b5156 + b5264 + b5344 + b5363
       + b5381 + b5402 + b5468 + b5487 + b5549 + b5620 + b5781 + b5793 + b5887
       + b5956 + b6445 + b6952 + b7140 + b7177 + b7209 + b7216 + b7546 + b7603
       + b7618 + b7769 + b7967 + b7981 + b8002 + b8013 + b8098 + b8222 + b8620
       + b8656 = 1;

e217:    b79 + b272 + b290 + b417 + b480 + b501 + b551 + b784 + b894 + b1120
       + b1245 + b1282 + b1294 + b1469 + b1538 + b1593 + b1644 + b1647 + b2006
       + b2063 + b2292 + b2377 + b2482 + b2644 + b2659 + b2928 + b2965 + b3040
       + b3180 + b3557 + b3626 + b3789 + b3836 + b3863 + b3865 + b4101 + b4256
       + b4338 + b4533 + b4547 + b4685 + b4696 + b4832 + b4864 + b4952 + b4994
       + b5021 + b5074 + b5264 + b5381 + b5549 + b5620 + b5887 + b5927 + b6476
       + b6743 + b6855 + b7028 + b7132 + b7151 + b7216 + b7415 + b7546 + b7603
       + b7769 + b7967 + b8195 + b8222 + b8261 + b8299 + b8497 + b8607 + b8656
       = 1;

e218:    b79 + b272 + b290 + b417 + b480 + b501 + b551 + b784 + b894 + b1120
       + b1245 + b1282 + b1294 + b1469 + b1538 + b1593 + b1644 + b1647 + b2006
       + b2063 + b2292 + b2482 + b2644 + b2659 + b2928 + b2965 + b3040 + b3180
       + b3557 + b3626 + b3789 + b3836 + b3863 + b3865 + b4101 + b4338 + b4547
       + b4685 + b4696 + b4832 + b4864 + b4952 + b4994 + b5021 + b5074 + b5264
       + b5381 + b5549 + b5620 + b5887 + b5927 + b6476 + b6855 + b7028 + b7132
       + b7151 + b7216 + b7415 + b7546 + b7603 + b7769 + b7967 + b8195 + b8222
       + b8261 + b8299 + b8497 + b8607 + b8656 = 1;

e219:    b290 + b480 + b569 + b777 + b889 + b987 + b1040 + b1245 + b1275
       + b1282 + b1450 + b1507 + b1538 + b1593 + b1639 + b1644 + b1647 + b1863
       + b1971 + b2313 + b2659 + b2664 + b2722 + b2928 + b2965 + b3040 + b3180
       + b3234 + b3294 + b3626 + b3777 + b3789 + b3863 + b3865 + b4210 + b4685
       + b4696 + b4887 + b4938 + b4952 + b4994 + b5074 + b5267 + b5620 + b5887
       + b6004 + b6075 + b6384 + b6410 + b6476 + b6855 + b7110 + b7132 + b7151
       + b7415 + b7521 + b7546 + b7684 + b7972 + b8059 + b8232 + b8299 + b8772
       = 1;

e220:    b290 + b480 + b581 + b1120 + b1245 + b1275 + b1282 + b1507 + b1538
       + b1639 + b1644 + b1647 + b2313 + b2659 + b2664 + b2722 + b2928 + b3040
       + b3180 + b3234 + b3340 + b3626 + b3777 + b3789 + b3863 + b4193 + b4210
       + b4291 + b4685 + b4696 + b4887 + b4938 + b4952 + b4994 + b5021 + b5074
       + b5267 + b5487 + b5549 + b5620 + b5887 + b6004 + b6384 + b6401 + b6476
       + b6491 + b6855 + b7110 + b7132 + b7151 + b7415 + b7521 + b7769 + b7972
       + b8059 + b8232 + b8299 + b8772 = 1;

e221:    b290 + b382 + b480 + b569 + b581 + b777 + b847 + b1275 + b1411 + b1507
       + b1538 + b1639 + b1895 + b2664 + b2722 + b2775 + b2794 + b2928 + b3180
       + b3340 + b3642 + b3777 + b3789 + b3820 + b3865 + b3909 + b4153 + b4792
       + b4887 + b4994 + b5037 + b5264 + b5267 + b5344 + b5487 + b5549 + b5581
       + b5781 + b5904 + b5968 + b6004 + b6075 + b6079 + b6384 + b6388 + b7140
       + b7151 + b7423 + b7521 + b7972 + b8002 + b8059 + b8232 + b8772 = 1;

e222:    b290 + b480 + b569 + b581 + b777 + b847 + b1275 + b1411 + b1507
       + b1538 + b1639 + b1895 + b2664 + b2722 + b2775 + b2794 + b2928 + b3180
       + b3340 + b3642 + b3777 + b3789 + b3820 + b3865 + b3909 + b4153 + b4792
       + b4887 + b4994 + b5037 + b5264 + b5267 + b5344 + b5468 + b5487 + b5549
       + b5581 + b5781 + b5904 + b5968 + b6004 + b6075 + b6079 + b6384 + b6388
       + b7140 + b7151 + b7423 + b7521 + b7972 + b8002 + b8059 + b8232 + b8772
       = 1;

e223:    b54 + b80 + b501 + b784 + b847 + b864 + b894 + b1469 + b1538 + b1602
       + b1644 + b2292 + b2377 + b2644 + b2928 + b2982 + b3040 + b3180 + b3789
       + b3820 + b3836 + b3912 + b4137 + b4153 + b4547 + b4792 + b4832 + b5264
       + b5267 + b5330 + b5581 + b5927 + b5968 + b6079 + b6269 + b6743 + b7028
       + b7209 + b7423 + b8232 + b8261 + b8462 = 1;

e224:    b535 + b566 + b705 + b837 + b1125 + b1150 + b1686 + b2065 + b2125
       + b2562 + b2798 + b3020 + b3197 + b3226 + b3464 + b3472 + b3885 + b4245
       + b5275 + b5554 + b6153 + b6161 + b6243 + b7212 + b7213 + b7517 + b7599
       + b7629 + b7692 + b8658 = 1;

e225:    b6 + b528 + b535 + b550 + b566 + b809 + b940 + b941 + b1125 + b1150
       + b1218 + b1226 + b1241 + b1274 + b1342 + b1669 + b1753 + b1756 + b1790
       + b1893 + b1916 + b2104 + b2249 + b2511 + b2562 + b2639 + b2784 + b2798
       + b2990 + b3020 + b3197 + b3215 + b3226 + b3370 + b3472 + b3731 + b3958
       + b4134 + b4161 + b4175 + b4178 + b5232 + b5275 + b5482 + b5554 + b5635
       + b6153 + b6359 + b6370 + b6441 + b6446 + b6494 + b6555 + b6676 + b6708
       + b7210 + b7212 + b7213 + b7552 + b7559 + b7590 + b7592 + b7599 + b7629
       + b7660 + b7692 + b8065 + b8333 + b8577 + b8658 = 1;

e226:    b6 + b528 + b531 + b535 + b550 + b557 + b566 + b576 + b579 + b809
       + b837 + b940 + b941 + b1125 + b1150 + b1215 + b1226 + b1241 + b1274
       + b1342 + b1669 + b1753 + b1756 + b1790 + b1893 + b1916 + b2104 + b2218
       + b2249 + b2256 + b2511 + b2562 + b2639 + b2784 + b2798 + b2832 + b2990
       + b3020 + b3158 + b3197 + b3215 + b3226 + b3244 + b3370 + b3381 + b3472
       + b3707 + b3731 + b3958 + b4066 + b4074 + b4134 + b4161 + b4175 + b4178
       + b4207 + b4275 + b5056 + b5232 + b5275 + b5334 + b5482 + b5554 + b5598
       + b5635 + b5659 + b5676 + b5684 + b5734 + b5908 + b5954 + b5966 + b6153
       + b6246 + b6254 + b6320 + b6359 + b6370 + b6441 + b6442 + b6446 + b6494
       + b6555 + b6676 + b6708 + b7210 + b7212 + b7213 + b7517 + b7552 + b7559
       + b7579 + b7590 + b7592 + b7599 + b7629 + b7660 + b7692 + b7709 + b7846
       + b7985 + b8065 + b8333 + b8477 + b8577 + b8658 + b8714 = 1;

e227:    b131 + b247 + b326 + b392 + b528 + b535 + b592 + b691 + b941 + b954
       + b1084 + b1112 + b1125 + b1150 + b1200 + b1226 + b1326 + b1342 + b1448
       + b1486 + b1686 + b1756 + b1790 + b1893 + b1958 + b1989 + b2091 + b2249
       + b2256 + b2562 + b2588 + b2639 + b2768 + b2784 + b2798 + b2819 + b2846
       + b2945 + b2990 + b3020 + b3197 + b3215 + b3223 + b3244 + b3370 + b3381
       + b3388 + b3431 + b3452 + b3464 + b3469 + b3568 + b3707 + b3731 + b3747
       + b3776 + b3970 + b4066 + b4074 + b4134 + b4161 + b4175 + b4178 + b4207
       + b4260 + b4262 + b4317 + b4473 + b4477 + b4496 + b4606 + b4896 + b5158
       + b5167 + b5209 + b5232 + b5240 + b5275 + b5334 + b5345 + b5423 + b5447
       + b5475 + b5482 + b5535 + b5554 + b5612 + b5659 + b5734 + b5830 + b5908
       + b5954 + b6153 + b6155 + b6254 + b6315 + b6320 + b6441 + b6446 + b6555
       + b6566 + b6705 + b6916 + b7052 + b7208 + b7210 + b7212 + b7382 + b7424
       + b7502 + b7509 + b7552 + b7580 + b7592 + b7598 + b7629 + b7721 + b7727
       + b7772 + b7795 + b7855 + b7869 + b8019 + b8065 + b8333 + b8336 + b8360
       + b8415 + b8439 + b8477 + b8577 + b8611 + b8639 + b8658 + b8714 = 1;

e228:    b6 + b14 + b247 + b481 + b941 + b1084 + b1112 + b1125 + b1150 + b1226
       + b1241 + b1242 + b1326 + b1342 + b1452 + b1686 + b1790 + b1799 + b1893
       + b1916 + b1927 + b2104 + b2213 + b2249 + b2511 + b2562 + b2639 + b2736
       + b2768 + b2784 + b2971 + b2990 + b3197 + b3213 + b3215 + b3228 + b3370
       + b3451 + b3452 + b3457 + b3464 + b3469 + b3531 + b3568 + b3731 + b4066
       + b4134 + b4161 + b4178 + b4266 + b4289 + b4356 + b4471 + b4473 + b4477
       + b4496 + b4760 + b4782 + b4822 + b4982 + b5167 + b5232 + b5345 + b5423
       + b5447 + b5482 + b5495 + b5554 + b5612 + b5635 + b5637 + b5646 + b5659
       + b5734 + b6145 + b6153 + b6320 + b6359 + b6370 + b6441 + b6566 + b6596
       + b6705 + b7052 + b7076 + b7208 + b7210 + b7212 + b7382 + b7419 + b7509
       + b7552 + b7629 + b7660 + b7715 + b7721 + b7749 + b7795 + b7827 + b7855
       + b7860 + b7862 + b7869 + b7985 + b8004 + b8077 + b8333 + b8335 + b8415
       + b8544 + b8567 + b8577 + b8658 + b8717 + b8817 + b8883 = 1;

e229:    b14 + b24 + b131 + b247 + b297 + b421 + b481 + b566 + b571 + b946
       + b969 + b1084 + b1112 + b1188 + b1200 + b1226 + b1242 + b1356 + b1410
       + b1451 + b1686 + b1713 + b1790 + b1799 + b2091 + b2249 + b2380 + b2706
       + b2736 + b2768 + b2819 + b2945 + b2971 + b3116 + b3206 + b3213 + b3228
       + b3334 + b3388 + b3451 + b3452 + b3457 + b3464 + b3469 + b3472 + b3568
       + b3747 + b4066 + b4127 + b4260 + b4266 + b4289 + b4317 + b4356 + b4471
       + b4477 + b4496 + b4591 + b4760 + b4822 + b4982 + b5042 + b5167 + b5209
       + b5232 + b5271 + b5335 + b5345 + b5423 + b5447 + b5482 + b5495 + b5501
       + b5599 + b5612 + b5637 + b5646 + b5659 + b5830 + b6127 + b6145 + b6153
       + b6441 + b6566 + b6596 + b6678 + b6690 + b7052 + b7076 + b7187 + b7208
       + b7212 + b7301 + b7382 + b7419 + b7487 + b7509 + b7580 + b7598 + b7629
       + b7715 + b7721 + b7749 + b7772 + b7795 + b7855 + b7860 + b7869 + b8019
       + b8077 + b8335 + b8414 + b8415 + b8567 + b8611 + b8717 + b8883 = 1;

e230:    b14 + b24 + b131 + b247 + b297 + b421 + b481 + b566 + b691 + b946
       + b954 + b969 + b1084 + b1112 + b1188 + b1200 + b1226 + b1242 + b1356
       + b1410 + b1451 + b1686 + b1713 + b1790 + b1799 + b2091 + b2249 + b2380
       + b2706 + b2736 + b2768 + b2819 + b2925 + b2945 + b2971 + b3059 + b3116
       + b3206 + b3213 + b3228 + b3230 + b3334 + b3388 + b3431 + b3451 + b3452
       + b3457 + b3464 + b3469 + b3472 + b3568 + b3747 + b3970 + b4066 + b4127
       + b4142 + b4260 + b4266 + b4289 + b4317 + b4356 + b4471 + b4477 + b4496
       + b4591 + b4606 + b4760 + b4822 + b4982 + b5042 + b5158 + b5167 + b5209
       + b5232 + b5335 + b5345 + b5423 + b5447 + b5482 + b5495 + b5501 + b5535
       + b5599 + b5612 + b5637 + b5646 + b5659 + b5700 + b5830 + b5908 + b6127
       + b6145 + b6153 + b6155 + b6441 + b6566 + b6596 + b6678 + b6690 + b7052
       + b7076 + b7187 + b7208 + b7212 + b7301 + b7382 + b7424 + b7487 + b7509
       + b7580 + b7598 + b7715 + b7721 + b7749 + b7772 + b7795 + b7855 + b7860
       + b7869 + b8019 + b8077 + b8335 + b8360 + b8414 + b8415 + b8439 + b8567
       + b8611 + b8717 + b8883 = 1;

e231:    b14 + b131 + b247 + b359 + b535 + b550 + b566 + b571 + b602 + b633
       + b669 + b920 + b940 + b941 + b946 + b1084 + b1112 + b1125 + b1133
       + b1188 + b1242 + b1274 + b1356 + b1370 + b1410 + b1429 + b1451 + b1486
       + b1686 + b1713 + b1756 + b1790 + b1799 + b1893 + b2052 + b2065 + b2125
       + b2218 + b2249 + b2380 + b2511 + b2696 + b2857 + b2905 + b2973 + b3020
       + b3061 + b3125 + b3197 + b3215 + b3229 + b3370 + b3388 + b3472 + b3568
       + b3612 + b3685 + b3699 + b3747 + b3885 + b3958 + b4016 + b4024 + b4030
       + b4074 + b4178 + b4245 + b4275 + b4471 + b4591 + b4789 + b4822 + b5001
       + b5042 + b5151 + b5209 + b5271 + b5283 + b5335 + b5368 + b5482 + b5554
       + b5599 + b5646 + b5666 + b5830 + b5886 + b5888 + b5940 + b5942 + b6145
       + b6153 + b6210 + b6243 + b6441 + b6469 + b6494 + b6676 + b6678 + b6841
       + b7229 + b7235 + b7352 + b7487 + b7517 + b7559 + b7592 + b7599 + b7660
       + b7721 + b7772 + b7795 + b7860 + b8019 + b8065 + b8161 + b8405 + b8414
       + b8447 + b8477 + b8658 + b8883 = 1;

e232:    b14 + b131 + b247 + b359 + b535 + b550 + b566 + b571 + b602 + b633
       + b669 + b920 + b940 + b941 + b946 + b1084 + b1112 + b1125 + b1133
       + b1150 + b1188 + b1242 + b1274 + b1356 + b1370 + b1410 + b1429 + b1451
       + b1486 + b1686 + b1713 + b1756 + b1799 + b1893 + b2052 + b2065 + b2125
       + b2218 + b2249 + b2380 + b2511 + b2696 + b2857 + b2905 + b2973 + b3020
       + b3061 + b3125 + b3197 + b3215 + b3229 + b3370 + b3388 + b3472 + b3612
       + b3685 + b3699 + b3747 + b3885 + b3958 + b4024 + b4074 + b4178 + b4245
       + b4275 + b4471 + b4591 + b4789 + b4822 + b5001 + b5042 + b5151 + b5209
       + b5271 + b5335 + b5368 + b5482 + b5554 + b5599 + b5646 + b5666 + b5830
       + b5886 + b5888 + b5940 + b5942 + b6145 + b6153 + b6210 + b6243 + b6469
       + b6494 + b6676 + b6678 + b6841 + b7229 + b7235 + b7352 + b7487 + b7517
       + b7559 + b7592 + b7599 + b7660 + b7721 + b7772 + b7795 + b7860 + b8019
       + b8065 + b8161 + b8405 + b8447 + b8477 + b8658 + b8883 = 1;

e233:    b535 + b566 + b571 + b705 + b837 + b1125 + b1150 + b1686 + b2065
       + b2125 + b2562 + b2798 + b3020 + b3197 + b3226 + b3464 + b3472 + b3885
       + b4245 + b5151 + b5275 + b5554 + b6153 + b6161 + b6243 + b7212 + b7213
       + b7235 + b7517 + b7599 + b7629 + b7692 + b8614 + b8651 + b8658 + b8685
       = 1;

e234:    b43 + b95 + b111 + b125 + b334 + b453 + b592 + b949 + b1011 + b1078
       + b1220 + b1297 + b1721 + b1818 + b1825 + b1903 + b1912 + b1958 + b2346
       + b2604 + b2670 + b2720 + b3196 + b3263 + b3292 + b4059 + b4082 + b4112
       + b4551 + b4580 + b4849 + b4937 + b4948 + b5158 + b5333 + b5589 + b5666
       + b5672 + b5699 + b5712 + b5877 + b5942 + b6249 + b6275 + b6315 + b6326
       + b6531 + b6695 + b6761 + b6865 + b7163 + b7369 + b7557 + b7698 + b7875
       + b8019 + b8045 + b8218 + b8468 + b8714 = 1;

e235:    b95 + b111 + b125 + b227 + b340 + b345 + b551 + b592 + b777 + b948
       + b949 + b1011 + b1078 + b1146 + b1177 + b1220 + b1469 + b1505 + b1523
       + b1531 + b1550 + b1721 + b1818 + b1821 + b1833 + b1857 + b1863 + b1878
       + b1913 + b1958 + b2160 + b2346 + b2614 + b2625 + b2720 + b2775 + b2965
       + b2982 + b3161 + b3196 + b3278 + b3292 + b3327 + b3405 + b4086 + b4092
       + b4095 + b4146 + b4156 + b4316 + b4551 + b4728 + b4860 + b4937 + b4990
       + b4994 + b5158 + b5177 + b5276 + b5341 + b5363 + b5517 + b5575 + b5589
       + b5700 + b5712 + b5877 + b5943 + b5968 + b6223 + b6249 + b6287 + b6315
       + b6329 + b6352 + b6374 + b6384 + b6476 + b6531 + b6695 + b6761 + b6865
       + b6954 + b7216 + b7369 + b7438 + b7526 + b7557 + b7567 + b7588 + b7611
       + b7698 + b7719 + b7875 + b8206 + b8398 + b8478 + b8598 + b8714 + b8789
       = 1;

e236:    b111 + b125 + b163 + b227 + b340 + b498 + b551 + b592 + b732 + b777
       + b948 + b968 + b987 + b1011 + b1078 + b1099 + b1146 + b1177 + b1220
       + b1469 + b1505 + b1523 + b1531 + b1550 + b1570 + b1721 + b1818 + b1821
       + b1833 + b1857 + b1863 + b1878 + b1913 + b1958 + b2160 + b2346 + b2359
       + b2614 + b2720 + b2743 + b2775 + b2965 + b2982 + b3161 + b3278 + b3292
       + b3327 + b3336 + b3405 + b3789 + b4086 + b4092 + b4095 + b4146 + b4156
       + b4171 + b4316 + b4386 + b4551 + b4621 + b4728 + b4860 + b4937 + b4958
       + b4994 + b5158 + b5276 + b5341 + b5344 + b5363 + b5454 + b5517 + b5526
       + b5575 + b5589 + b5640 + b5700 + b5712 + b5877 + b5938 + b5943 + b5968
       + b6223 + b6249 + b6287 + b6315 + b6329 + b6352 + b6374 + b6384 + b6476
       + b6531 + b6695 + b6761 + b6855 + b6865 + b6954 + b7173 + b7216 + b7369
       + b7567 + b7568 + b7588 + b7603 + b7611 + b7618 + b7698 + b7719 + b7875
       + b7883 + b8037 + b8059 + b8166 + b8206 + b8398 + b8478 + b8538 + b8561
       + b8598 + b8714 + b8789 = 1;

e237:    b52 + b61 + b118 + b125 + b163 + b274 + b340 + b366 + b377 + b387
       + b461 + b729 + b732 + b773 + b782 + b948 + b1011 + b1028 + b1136
       + b1170 + b1220 + b1222 + b1297 + b1455 + b1462 + b1582 + b1642 + b1721
       + b1818 + b1830 + b1833 + b1857 + b1913 + b2084 + b2332 + b2346 + b2393
       + b2397 + b2483 + b2503 + b2614 + b2634 + b2717 + b2743 + b2775 + b3000
       + b3161 + b3292 + b3519 + b3653 + b3690 + b3746 + b3751 + b3777 + b4092
       + b4119 + b4171 + b4322 + b4386 + b4443 + b4513 + b4551 + b4558 + b4579
       + b4606 + b4621 + b4664 + b4676 + b4696 + b4836 + b4846 + b4860 + b4937
       + b4958 + b5134 + b5158 + b5341 + b5344 + b5363 + b5383 + b5562 + b5589
       + b5640 + b5699 + b5712 + b5793 + b5849 + b5894 + b5931 + b5938 + b5956
       + b6223 + b6249 + b6259 + b6266 + b6287 + b6315 + b6317 + b6374 + b6527
       + b6528 + b6531 + b6695 + b6728 + b6755 + b6758 + b6761 + b6855 + b6865
       + b6867 + b6918 + b6946 + b6957 + b7041 + b7048 + b7216 + b7305 + b7335
       + b7369 + b7466 + b7488 + b7564 + b7567 + b7568 + b7588 + b7603 + b7611
       + b7618 + b7641 + b7698 + b7706 + b7875 + b8013 + b8037 + b8043 + b8059
       + b8083 + b8157 + b8166 + b8170 + b8478 + b8528 + b8540 + b8739 + b8807
       = 1;

e238:    b118 + b125 + b274 + b340 + b387 + b461 + b729 + b732 + b763 + b948
       + b1011 + b1028 + b1220 + b1222 + b1297 + b1721 + b1818 + b1833 + b1857
       + b2084 + b2346 + b2393 + b2397 + b2483 + b2503 + b2614 + b2717 + b2743
       + b3161 + b3292 + b3519 + b3653 + b3746 + b4092 + b4119 + b4171 + b4386
       + b4551 + b4558 + b4579 + b4606 + b4664 + b4676 + b4846 + b4860 + b4937
       + b4958 + b5134 + b5158 + b5341 + b5383 + b5589 + b5640 + b5699 + b5712
       + b5931 + b5938 + b6223 + b6249 + b6266 + b6287 + b6315 + b6317 + b6374
       + b6527 + b6528 + b6531 + b6695 + b6728 + b6755 + b6758 + b6761 + b6865
       + b6867 + b6918 + b6957 + b7041 + b7305 + b7369 + b7466 + b7564 + b7567
       + b7568 + b7588 + b7611 + b7641 + b7698 + b7706 + b7875 + b8037 + b8157
       + b8166 + b8170 + b8478 + b8528 + b8540 + b8739 + b8807 = 1;

e239:    b41 + b125 + b140 + b274 + b298 + b340 + b376 + b457 + b462 + b729
       + b948 + b954 + b1011 + b1016 + b1028 + b1090 + b1099 + b1206 + b1230
       + b1297 + b1482 + b1487 + b1721 + b1833 + b1857 + b1871 + b2084 + b2155
       + b2284 + b2346 + b2359 + b2397 + b2503 + b2614 + b2676 + b2717 + b2728
       + b2747 + b3219 + b3230 + b3323 + b3336 + b3425 + b3519 + b3653 + b3746
       + b4092 + b4167 + b4309 + b4366 + b4517 + b4551 + b4579 + b4606 + b4676
       + b4752 + b4860 + b4876 + b4944 + b4947 + b4953 + b4958 + b4969 + b4977
       + b4980 + b5158 + b5383 + b5453 + b5526 + b5597 + b5699 + b5712 + b5898
       + b5931 + b6249 + b6306 + b6332 + b6528 + b6695 + b6755 + b6761 + b6865
       + b6918 + b6957 + b7041 + b7056 + b7154 + b7173 + b7178 + b7305 + b7369
       + b7466 + b7564 + b7569 + b7604 + b7641 + b7663 + b7698 + b7706 + b7730
       + b7731 + b7883 + b8037 + b8097 + b8170 + b8243 + b8478 + b8528 + b8807
       = 1;

e240:    b41 + b125 + b140 + b274 + b298 + b340 + b376 + b462 + b729 + b954
       + b1011 + b1016 + b1028 + b1090 + b1099 + b1206 + b1230 + b1297 + b1482
       + b1487 + b1721 + b1833 + b1857 + b1871 + b2084 + b2155 + b2284 + b2346
       + b2359 + b2397 + b2503 + b2614 + b2676 + b2717 + b2728 + b2747 + b3219
       + b3230 + b3323 + b3336 + b3425 + b3519 + b3653 + b3746 + b4092 + b4167
       + b4309 + b4366 + b4517 + b4551 + b4579 + b4606 + b4676 + b4752 + b4860
       + b4876 + b4944 + b4947 + b4953 + b4958 + b4969 + b4980 + b5158 + b5453
       + b5526 + b5597 + b5699 + b5712 + b5898 + b5931 + b6249 + b6306 + b6332
       + b6528 + b6695 + b6755 + b6761 + b6865 + b6918 + b6957 + b7041 + b7056
       + b7154 + b7173 + b7178 + b7305 + b7369 + b7466 + b7536 + b7569 + b7604
       + b7641 + b7663 + b7698 + b7706 + b7730 + b7731 + b7883 + b8037 + b8097
       + b8170 + b8243 + b8478 + b8528 + b8807 = 1;

e241:    b41 + b109 + b118 + b274 + b366 + b376 + b439 + b462 + b521 + b732
       + b859 + b874 + b878 + b929 + b952 + b1078 + b1099 + b1143 + b1204
       + b1206 + b1296 + b1297 + b1315 + b1425 + b1487 + b1530 + b1564 + b1663
       + b1664 + b1721 + b1833 + b1857 + b1871 + b1873 + b1878 + b1912 + b2084
       + b2353 + b2397 + b2503 + b2646 + b2717 + b2728 + b2747 + b2817 + b2895
       + b3107 + b3214 + b3219 + b3405 + b3424 + b3425 + b3434 + b3659 + b3695
       + b3746 + b3770 + b3919 + b4003 + b4059 + b4112 + b4120 + b4171 + b4579
       + b4580 + b4699 + b4846 + b4947 + b4969 + b5174 + b5320 + b5333 + b5375
       + b5453 + b5640 + b5672 + b5699 + b5712 + b5757 + b5849 + b5922 + b5931
       + b6068 + b6105 + b6275 + b6317 + b6321 + b6397 + b6418 + b6483 + b6528
       + b6755 + b6788 + b6819 + b6865 + b7056 + b7154 + b7281 + b7305 + b7309
       + b7536 + b7558 + b7593 + b7604 + b7663 + b7706 + b7730 + b7731 + b7837
       + b8037 + b8054 + b8097 + b8108 + b8152 + b8159 + b8201 + b8243 + b8266
       + b8296 + b8478 + b8561 + b8592 + b8610 + b8825 = 1;

e242:    b41 + b109 + b118 + b274 + b310 + b366 + b376 + b439 + b462 + b521
       + b732 + b859 + b874 + b878 + b929 + b932 + b952 + b1078 + b1099 + b1143
       + b1195 + b1204 + b1206 + b1296 + b1315 + b1425 + b1487 + b1530 + b1564
       + b1663 + b1721 + b1833 + b1871 + b1873 + b1878 + b1912 + b2079 + b2084
       + b2353 + b2397 + b2503 + b2646 + b2717 + b2728 + b2747 + b2817 + b2895
       + b3107 + b3110 + b3214 + b3219 + b3405 + b3424 + b3434 + b3659 + b3695
       + b3746 + b3770 + b3784 + b3919 + b4003 + b4059 + b4112 + b4171 + b4453
       + b4579 + b4580 + b4699 + b4777 + b4846 + b4947 + b4969 + b5174 + b5320
       + b5333 + b5375 + b5453 + b5640 + b5672 + b5699 + b5757 + b5849 + b5922
       + b5931 + b6068 + b6105 + b6275 + b6317 + b6321 + b6397 + b6418 + b6483
       + b6528 + b6755 + b6788 + b6819 + b6865 + b7056 + b7154 + b7281 + b7305
       + b7309 + b7536 + b7558 + b7593 + b7604 + b7663 + b7706 + b7730 + b7731
       + b7800 + b7837 + b7848 + b7995 + b8037 + b8054 + b8097 + b8108 + b8152
       + b8159 + b8201 + b8243 + b8266 + b8296 + b8478 + b8561 + b8592 + b8610
       + b8814 + b8821 + b8825 = 1;

e243:    b41 + b52 + b61 + b109 + b118 + b274 + b310 + b366 + b376 + b439
       + b462 + b521 + b732 + b859 + b874 + b878 + b918 + b929 + b932 + b952
       + b1078 + b1099 + b1143 + b1195 + b1204 + b1206 + b1296 + b1315 + b1405
       + b1425 + b1487 + b1530 + b1564 + b1663 + b1721 + b1833 + b1852 + b1871
       + b1873 + b1878 + b1912 + b2079 + b2084 + b2332 + b2353 + b2397 + b2503
       + b2646 + b2717 + b2728 + b2747 + b2817 + b2895 + b3107 + b3110 + b3199
       + b3214 + b3219 + b3405 + b3424 + b3434 + b3659 + b3695 + b3746 + b3770
       + b3784 + b3919 + b4003 + b4059 + b4112 + b4171 + b4451 + b4453 + b4513
       + b4579 + b4580 + b4699 + b4777 + b4846 + b4947 + b4969 + b5174 + b5320
       + b5333 + b5375 + b5453 + b5640 + b5672 + b5699 + b5736 + b5757 + b5849
       + b5922 + b5931 + b6068 + b6105 + b6275 + b6317 + b6321 + b6397 + b6418
       + b6483 + b6528 + b6755 + b6788 + b6819 + b6865 + b7056 + b7154 + b7281
       + b7305 + b7309 + b7335 + b7432 + b7488 + b7536 + b7558 + b7593 + b7604
       + b7644 + b7663 + b7706 + b7722 + b7730 + b7731 + b7800 + b7837 + b7848
       + b7995 + b8037 + b8054 + b8097 + b8108 + b8152 + b8159 + b8201 + b8243
       + b8266 + b8296 + b8478 + b8561 + b8592 + b8610 + b8814 + b8821 + b8825
       = 1;

e244:    b41 + b52 + b61 + b109 + b118 + b274 + b366 + b376 + b439 + b462
       + b521 + b732 + b878 + b918 + b929 + b952 + b1078 + b1099 + b1204
       + b1296 + b1297 + b1315 + b1487 + b1564 + b1663 + b1664 + b1721 + b1833
       + b1857 + b1871 + b1873 + b1912 + b2084 + b2225 + b2332 + b2353 + b2397
       + b2503 + b2646 + b2717 + b2728 + b2747 + b2817 + b2895 + b3110 + b3199
       + b3214 + b3405 + b3434 + b3659 + b3695 + b3746 + b3784 + b3847 + b3919
       + b4003 + b4059 + b4112 + b4120 + b4171 + b4440 + b4451 + b4513 + b4579
       + b4580 + b4699 + b4846 + b4947 + b4969 + b5174 + b5333 + b5453 + b5640
       + b5672 + b5699 + b5712 + b5736 + b5849 + b5922 + b5931 + b6068 + b6105
       + b6275 + b6317 + b6397 + b6418 + b6483 + b6528 + b6755 + b6788 + b6796
       + b6819 + b6865 + b7056 + b7154 + b7281 + b7305 + b7309 + b7335 + b7432
       + b7488 + b7536 + b7558 + b7604 + b7644 + b7663 + b7706 + b7722 + b7730
       + b7731 + b8037 + b8097 + b8152 + b8201 + b8243 + b8266 + b8296 + b8478
       + b8561 + b8610 + b8825 = 1;

e245:    b138 + b147 + b274 + b334 + b340 + b366 + b453 + b462 + b490 + b878
       + b949 + b964 + b993 + b1011 + b1078 + b1220 + b1296 + b1297 + b1505
       + b1549 + b1567 + b1582 + b1651 + b1721 + b1833 + b1912 + b1913 + b2084
       + b2137 + b2155 + b2206 + b2346 + b2397 + b2625 + b2717 + b2720 + b2728
       + b2735 + b2747 + b3110 + b3196 + b3292 + b3323 + b3695 + b3746 + b4082
       + b4112 + b4309 + b4366 + b4451 + b4580 + b4676 + b4752 + b4849 + b4860
       + b4969 + b4974 + b5295 + b5617 + b5672 + b5699 + b5712 + b5922 + b5931
       + b5941 + b5969 + b5984 + b6275 + b6287 + b6306 + b6326 + b6528 + b6531
       + b6585 + b6587 + b6755 + b6761 + b6819 + b6901 + b6918 + b6957 + b7041
       + b7154 + b7160 + b7163 + b7305 + b7369 + b7466 + b7526 + b7536 + b7569
       + b7604 + b7611 + b7698 + b7722 + b7875 + b8037 + b8097 + b8153 + b8201
       + b8218 + b8743 + b8807 = 1;

e246:    b209 + b220 + b518 + b544 + b567 + b606 + b717 + b718 + b972 + b973
       + b1007 + b1020 + b1299 + b1453 + b1506 + b1731 + b2016 + b2095 + b2112
       + b2114 + b2131 + b2237 + b2504 + b2734 + b2774 + b2831 + b3254 + b3361
       + b3479 + b3576 + b3740 + b4061 + b4240 + b4327 + b4355 + b4654 + b4758
       + b4940 + b4951 + b4987 + b4989 + b4992 + b5010 + b5073 + b5141 + b5181
       + b5364 + b5400 + b5413 + b5722 + b5783 + b5812 + b5884 + b6114 + b6137
       + b6440 + b6499 + b6526 + b6542 + b6702 + b7189 + b7190 + b7196 + b7214
       + b7239 + b7240 + b7965 + b7969 + b8629 + b8643 + b8665 + b8709 + b8785
       = 1;

e247:    b209 + b220 + b239 + b269 + b606 + b621 + b717 + b718 + b724 + b737
       + b787 + b877 + b973 + b974 + b1007 + b1020 + b1181 + b1299 + b1349
       + b1453 + b1646 + b1731 + b1806 + b2008 + b2054 + b2095 + b2114 + b2459
       + b2504 + b2552 + b2565 + b2734 + b3041 + b3112 + b3254 + b3361 + b3413
       + b3479 + b3487 + b3529 + b3576 + b3828 + b4023 + b4034 + b4062 + b4118
       + b4133 + b4352 + b4373 + b4381 + b4617 + b4654 + b4758 + b4817 + b4890
       + b4942 + b4987 + b4992 + b5011 + b5033 + b5055 + b5073 + b5141 + b5168
       + b5181 + b5244 + b5246 + b5364 + b5373 + b5387 + b5400 + b5435 + b5505
       + b5722 + b5884 + b6013 + b6016 + b6057 + b6065 + b6114 + b6137 + b6173
       + b6214 + b6316 + b6333 + b6425 + b6504 + b6526 + b6593 + b6640 + b6702
       + b6987 + b6994 + b7190 + b7270 + b7383 + b7458 + b7606 + b7817 + b7877
       + b7965 + b7969 + b8111 + b8270 + b8413 + b8457 + b8629 + b8674 + b8785
       + b8855 + b8874 = 1;

e248:    b213 + b220 + b429 + b565 + b606 + b934 + b973 + b974 + b1007 + b1020
       + b1167 + b1299 + b1491 + b1789 + b1897 + b2050 + b2062 + b2095 + b2520
       + b2766 + b2779 + b2919 + b2996 + b3191 + b3267 + b3576 + b3828 + b3927
       + b4265 + b4277 + b4654 + b4758 + b4992 + b5011 + b5014 + b5246 + b5364
       + b5373 + b5400 + b5687 + b5748 + b5777 + b6013 + b6057 + b6111 + b6137
       + b6456 + b6648 + b6863 + b6877 + b6898 + b6983 + b6995 + b7076 + b7190
       + b7285 + b7606 + b7703 + b8270 + b8428 + b8583 + b8609 + b8669 + b8683
       + b8694 + b8785 + b8855 = 1;

e249:    b6 + b14 + b135 + b209 + b213 + b220 + b273 + b421 + b429 + b506
       + b525 + b544 + b577 + b606 + b620 + b970 + b972 + b1007 + b1162 + b1167
       + b1207 + b1227 + b1236 + b1299 + b1390 + b1467 + b1598 + b1810 + b1891
       + b1897 + b1901 + b1925 + b2034 + b2059 + b2104 + b2201 + b2213 + b2262
       + b2504 + b2734 + b2737 + b2767 + b2771 + b2774 + b2789 + b2831 + b2853
       + b2919 + b2945 + b3026 + b3213 + b3263 + b3449 + b3453 + b3469 + b3480
       + b3576 + b3597 + b3729 + b3761 + b4127 + b4251 + b4266 + b4277 + b4284
       + b4327 + b4334 + b4336 + b4355 + b4356 + b4471 + b4654 + b4822 + b4963
       + b4970 + b4987 + b4992 + b5014 + b5071 + b5167 + b5246 + b5400 + b5413
       + b5678 + b5687 + b5748 + b5760 + b5777 + b5812 + b5926 + b6005 + b6103
       + b6137 + b6242 + b6346 + b6578 + b6582 + b6596 + b6628 + b6648 + b6877
       + b6898 + b7076 + b7214 + b7220 + b7301 + b7344 + b7648 + b7827 + b7864
       + b7888 + b7999 + b8202 + b8583 + b8609 + b8660 + b8675 + b8709 + b8717
       + b8726 + b8740 + b8785 + b8817 + b8883 + b8888 = 1;

e250:    b147 + b355 + b691 + b953 + b954 + b1448 + b1512 + b1692 + b1926
       + b1933 + b2155 + b2206 + b2397 + b2478 + b2654 + b2846 + b2850 + b2925
       + b3230 + b3232 + b3233 + b3238 + b3244 + b3415 + b3707 + b3746 + b3776
       + b3900 + b4207 + b4262 + b4366 + b4457 + b4606 + b4620 + b5157 + b5908
       + b5954 + b5959 + b6124 + b6155 + b6528 + b6871 + b6929 + b6938 + b7014
       + b7018 + b7569 + b7604 + b7613 + b7652 + b8037 + b8173 + b8189 + b8284
       + b8360 + b8556 + b8807 + b8843 + b8899 = 1;

e251:    b355 + b691 + b953 + b954 + b1448 + b1627 + b1692 + b1926 + b1933
       + b2418 + b2478 + b2654 + b2925 + b3230 + b3238 + b3244 + b3415 + b3707
       + b3776 + b3842 + b3970 + b4457 + b4521 + b4606 + b4620 + b4834 + b5158
       + b5535 + b5700 + b5908 + b5954 + b5959 + b6155 + b6368 + b6929 + b6938
       + b7014 + b7018 + b7424 + b8173 + b8189 + b8360 + b8439 + b8556 + b8843
       + b8879 + b8899 = 1;

e252:    b355 + b953 + b1448 + b1692 + b1926 + b1933 + b2478 + b2654 + b3238
       + b3244 + b3415 + b3588 + b3707 + b3776 + b4620 + b4834 + b5954 + b5959
       + b6368 + b6929 + b7014 + b7018 + b7234 + b7419 + b7682 + b8173 + b8387
       + b8556 + b8879 + b8899 = 1;

e253:    b789 + b1692 + b2658 + b2925 + b3230 + b3457 + b3588 + b3807 + b4620
       + b5959 + b6251 + b6368 + b6370 + b7234 + b7579 + b7682 + b8173 + b8252
       + b8387 + b8423 + b8596 = 1;

e254:    b264 + b364 + b404 + b428 + b550 + b568 + b583 + b620 + b789 + b1376
       + b1429 + b1472 + b1692 + b1799 + b2658 + b2853 + b2925 + b2971 + b3230
       + b3451 + b3457 + b3588 + b3807 + b4107 + b4620 + b4764 + b5042 + b5069
       + b5157 + b5959 + b6145 + b6251 + b6368 + b6370 + b6427 + b6841 + b7234
       + b7579 + b7682 + b7860 + b7985 + b8173 + b8252 + b8308 + b8335 + b8387
       + b8423 + b8567 = 1;

e255:    b96 + b100 + b183 + b264 + b281 + b355 + b364 + b395 + b550 + b579
       + b583 + b620 + b789 + b953 + b1096 + b1115 + b1276 + b1376 + b1429
       + b1472 + b1491 + b1503 + b1552 + b1692 + b1799 + b1802 + b1883 + b2169
       + b2326 + b2360 + b2445 + b2478 + b2837 + b2853 + b2925 + b3230 + b3232
       + b3286 + b3451 + b3457 + b3463 + b3791 + b3804 + b3807 + b3815 + b3872
       + b3934 + b4021 + b4037 + b4098 + b4107 + b4212 + b4620 + b4644 + b4720
       + b4791 + b4866 + b5042 + b5157 + b5433 + b5633 + b5735 + b6017 + b6100
       + b6164 + b6217 + b6251 + b6368 + b6370 + b6402 + b6427 + b6589 + b6929
       + b6938 + b7018 + b7097 + b7129 + b7348 + b7652 + b7689 + b7703 + b7860
       + b7985 + b8173 + b8284 + b8335 + b8466 + b8504 + b8505 + b8542 + b8575
       + b8843 = 1;

e256:    b13 + b347 + b770 + b844 + b1076 + b1186 + b1227 + b1477 + b1776
       + b1850 + b1946 + b1961 + b2254 + b2607 + b2771 + b2997 + b3136 + b3612
       + b3699 + b4053 + b4200 + b4205 + b4321 + b4468 + b4916 + b5728 + b5756
       + b5792 + b5836 + b5878 + b5986 + b6054 + b6400 + b6478 + b7220 + b7493
       + b7888 + b8367 = 1;

e257:    b13 + b347 + b770 + b844 + b1076 + b1186 + b1776 + b1850 + b1946
       + b2254 + b2607 + b2997 + b3136 + b3612 + b3699 + b4053 + b4205 + b4321
       + b4468 + b4916 + b5728 + b5756 + b5792 + b5836 + b5878 + b5986 + b6054
       + b6478 + b7493 + b8367 = 1;

e258:    b13 + b243 + b347 + b508 + b570 + b770 + b844 + b1029 + b1046 + b1066
       + b1076 + b1161 + b1186 + b1699 + b1706 + b1747 + b1755 + b1756 + b1770
       + b1775 + b1776 + b1780 + b1783 + b1788 + b1795 + b1946 + b2058 + b2073
       + b2138 + b2254 + b2607 + b2732 + b2997 + b3031 + b3061 + b3081 + b3136
       + b3386 + b3415 + b3459 + b3482 + b3612 + b3656 + b3699 + b3720 + b3843
       + b3943 + b3965 + b3973 + b4024 + b4033 + b4053 + b4103 + b4205 + b4321
       + b4468 + b4488 + b4859 + b4916 + b5013 + b5139 + b5151 + b5189 + b5209
       + b5243 + b5271 + b5334 + b5491 + b5728 + b5742 + b5756 + b5772 + b5785
       + b5792 + b5836 + b5878 + b5986 + b6054 + b6070 + b6104 + b6190 + b6200
       + b6210 + b6213 + b6253 + b6385 + b6477 + b6478 + b7493 + b7598 + b8341
       + b8367 + b8405 + b8420 + b8477 + b8572 = 1;

e259:    b13 + b219 + b243 + b508 + b570 + b704 + b793 + b797 + b1046 + b1066
       + b1076 + b1161 + b1699 + b1775 + b2058 + b2254 + b3031 + b3415 + b3612
       + b3656 + b3699 + b3843 + b3965 + b4103 + b4205 + b5139 + b5728 + b5756
       + b5779 + b5792 + b5836 + b5878 + b6054 + b6091 + b6186 + b6339 + b7170
       + b7187 + b7386 + b7737 + b8405 + b8614 = 1;

e260:    b13 + b219 + b243 + b508 + b570 + b704 + b797 + b1046 + b1066 + b1076
       + b1161 + b1699 + b1775 + b2058 + b2254 + b3031 + b3415 + b3612 + b3656
       + b3699 + b3843 + b3965 + b4103 + b4205 + b5139 + b5728 + b5756 + b5779
       + b5792 + b5836 + b5878 + b6054 + b6186 + b6339 + b7170 + b7187 + b7386
       + b7737 + b8405 + b8614 = 1;

e261:    b243 + b508 + b570 + b1029 + b1046 + b1066 + b1076 + b1488 + b1706
       + b1747 + b1770 + b1775 + b1795 + b2073 + b2138 + b2732 + b2997 + b3031
       + b3081 + b3386 + b3415 + b3459 + b3482 + b3656 + b3687 + b3699 + b3720
       + b3843 + b3965 + b3973 + b4103 + b4321 + b4488 + b4859 + b5013 + b5139
       + b5189 + b5243 + b5491 + b5742 + b5756 + b5772 + b5779 + b5785 + b6054
       + b6070 + b6104 + b6190 + b6200 + b6748 + b6955 + b7312 + b8341 = 1;

e262:    b109 + b340 + b345 + b425 + b490 + b527 + b855 + b964 + b1488 + b1531
       + b1564 + b1645 + b1833 + b1857 + b1913 + b2030 + b2614 + b2625 + b2735
       + b2783 + b2789 + b3025 + b3210 + b3405 + b3774 + b3884 + b3913 + b3962
       + b4092 + b4120 + b4745 + b4860 + b4995 + b5174 + b5341 + b5365 + b5779
       + b5922 + b5984 + b6223 + b6287 + b6329 + b6770 + b7250 + b7438 + b7515
       + b7526 + b7566 + b7611 + b7796 + b8152 + b8201 + b8206 + b8233 + b8304
       + b8306 + b8326 + b8478 = 1;

e263:    b109 + b334 + b425 + b490 + b964 + b1120 + b1245 + b1269 + b1564
       + b1733 + b1825 + b1907 + b2604 + b2664 + b2722 + b2735 + b2783 + b3025
       + b3210 + b3337 + b3340 + b3356 + b3774 + b4059 + b4060 + b4072 + b4082
       + b4112 + b4120 + b4172 + b4193 + b4776 + b4849 + b4887 + b4948 + b4952
       + b4995 + b5010 + b5174 + b5306 + b5333 + b5365 + b5487 + b5549 + b5922
       + b5984 + b6275 + b6491 + b6866 + b7132 + b7163 + b7250 + b7515 + b7566
       + b7769 + b8152 + b8201 + b8326 + b8468 = 1;

e264:    b109 + b334 + b425 + b490 + b964 + b1564 + b1819 + b1825 + b1944
       + b2604 + b2735 + b2783 + b3025 + b3210 + b3774 + b4059 + b4072 + b4082
       + b4112 + b4120 + b4776 + b4849 + b4948 + b4995 + b5010 + b5174 + b5306
       + b5333 + b5365 + b5670 + b5922 + b5984 + b6275 + b6286 + b6866 + b7163
       + b7250 + b7515 + b7566 + b8152 + b8201 + b8326 + b8468 = 1;

e265:    b95 + b125 + b334 + b340 + b345 + b490 + b1220 + b1230 + b1531 + b1570
       + b1606 + b1825 + b1939 + b1944 + b2346 + b2625 + b2680 + b2783 + b2968
       + b3196 + b3210 + b3479 + b3774 + b3850 + b3888 + b4082 + b4092 + b4131
       + b4745 + b4776 + b4937 + b5010 + b5193 + b5341 + b5640 + b5938 + b5984
       + b6225 + b6329 + b6625 + b6866 + b7611 + b8075 + b8152 + b8166 + b8326
       + b8468 + b8551 = 1;

e266:    b95 + b125 + b334 + b340 + b345 + b490 + b1040 + b1220 + b1230 + b1531
       + b1570 + b1606 + b1825 + b1939 + b1944 + b2346 + b2625 + b2680 + b2783
       + b2968 + b3196 + b3210 + b3294 + b3479 + b3774 + b3850 + b3888 + b4082
       + b4092 + b4131 + b4745 + b4776 + b4937 + b5010 + b5193 + b5341 + b5640
       + b5938 + b5984 + b6225 + b6329 + b6557 + b6625 + b6866 + b7611 + b7684
       + b8075 + b8152 + b8166 + b8326 + b8468 + b8551 + b8875 + b8887 = 1;

e267:    b95 + b109 + b125 + b345 + b425 + b1531 + b1564 + b1688 + b1825
       + b1857 + b2604 + b2614 + b2783 + b3210 + b3304 + b3405 + b3479 + b3774
       + b4059 + b4092 + b4120 + b4131 + b4551 + b4745 + b4776 + b4937 + b4948
       + b4995 + b5010 + b5174 + b5333 + b5341 + b5589 + b6119 + b6223 + b6329
       + b6410 + b6625 + b6865 + b6866 + b7250 + b7438 + b7557 + b7566 + b8152
       + b8206 + b8322 + b8326 + b8468 + b8478 + b8620 + b8771 = 1;

e268:    b82 + b274 + b697 + b729 + b818 + b866 + b1028 + b1621 + b1648 + b1723
       + b1801 + b1834 + b1942 + b1949 + b2084 + b2345 + b2477 + b2483 + b2717
       + b2747 + b3323 + b3695 + b3970 + b4043 + b4119 + b4571 + b4676 + b4752
       + b4980 + b5134 + b5205 + b5535 + b5560 + b5931 + b6113 + b6306 + b6368
       + b6769 + b6918 + b6957 + b7041 + b7305 + b7421 + b7424 + b7463 + b7466
       + b7641 + b7822 + b8360 + b8439 + b8442 + b8528 + b8591 = 1;

e269:    b84 + b187 + b414 + b1011 + b1028 + b1834 + b2345 + b2406 + b2477
       + b2874 + b3142 + b3144 + b3330 + b3653 + b4239 + b4615 + b4676 + b4717
       + b4752 + b5134 + b5535 + b5856 + b5898 + b5931 + b6531 + b6769 + b6849
       + b6918 + b6942 + b7421 + b7463 + b8157 + b8170 + b8442 + b8712 = 1;

e270:    b697 + b866 + b1164 + b1189 + b2345 + b2477 + b3144 + b3330 + b4571
       + b5134 + b5535 + b6169 + b7421 = 1;

e271:    b82 + b697 + b729 + b818 + b866 + b1028 + b1366 + b1512 + b1621
       + b1648 + b1676 + b1723 + b1801 + b1834 + b2345 + b2424 + b2477 + b2483
       + b2634 + b2850 + b3144 + b3617 + b3900 + b4043 + b4119 + b4571 + b4614
       + b4980 + b5134 + b5205 + b5560 + b5877 + b6113 + b6238 + b6695 + b6769
       + b7048 + b7421 + b7463 + b7613 + b7641 + b7822 + b7862 + b7993 + b8360
       + b8442 + b8528 + b8591 = 1;

e272:    b82 + b601 + b697 + b729 + b818 + b866 + b1028 + b1512 + b1621 + b1648
       + b1676 + b1723 + b1801 + b1811 + b1834 + b2345 + b2477 + b2639 + b2839
       + b2850 + b3144 + b4043 + b4119 + b4571 + b4980 + b5134 + b5205 + b5877
       + b6113 + b6238 + b6302 + b6623 + b6691 + b6695 + b6769 + b7052 + b7258
       + b7421 + b7463 + b7613 + b7641 + b7862 + b7993 + b8360 + b8528 + b8591
       + b8852 = 1;

e273:    b82 + b601 + b697 + b729 + b818 + b866 + b1028 + b1512 + b1621 + b1648
       + b1676 + b1723 + b1801 + b1811 + b1834 + b2345 + b2477 + b2639 + b2839
       + b2850 + b3144 + b4043 + b4119 + b4571 + b4980 + b5134 + b5205 + b5877
       + b6113 + b6238 + b6302 + b6623 + b6691 + b6695 + b6769 + b7052 + b7421
       + b7463 + b7613 + b7641 + b7862 + b7993 + b8360 + b8528 + b8591 + b8852
       = 1;

e274:    b85 + b222 + b252 + b395 + b582 + b1914 + b1963 + b2480 + b3059
       + b3453 + b4097 + b4683 + b4810 + b5023 + b5240 + b5687 + b5710 + b5882
       + b6645 + b7165 + b7255 + b7400 + b7812 + b8710 = 1;

e275:    b337 + b1175 + b1942 + b2446 + b2577 + b2588 + b4038 + b4097 + b4683
       + b4793 + b5240 + b5322 + b5710 + b5746 + b5882 + b6645 + b7014 + b7255
       + b7313 + b7876 + b7916 + b8382 + b8566 = 1;

e276:    b1060 + b1175 + b1942 + b2446 + b2577 + b2588 + b3645 + b4097 + b4683
       + b4793 + b5023 + b5240 + b5322 + b5710 + b5746 + b5882 + b6645 + b7014
       + b7255 + b7313 + b7876 + b7916 + b8382 + b8566 = 1;

e277:    b85 + b222 + b252 + b582 + b842 + b1914 + b1942 + b1949 + b1963
       + b2453 + b2480 + b2654 + b2876 + b2893 + b3059 + b3645 + b4097 + b4658
       + b4683 + b4810 + b5023 + b5710 + b5746 + b5882 + b6645 + b7014 + b7255
       + b7313 + b7400 + b7812 + b7916 + b8316 + b8710 = 1;

e278:    b181 + b205 + b213 + b506 + b519 + b560 + b565 + b601 + b1375 + b1460
       + b1491 + b1565 + b1789 + b1897 + b1965 + b2047 + b2059 + b2207 + b2308
       + b2410 + b2427 + b2453 + b2518 + b2520 + b2524 + b2700 + b2766 + b2860
       + b2875 + b2996 + b3223 + b3396 + b3423 + b3431 + b3474 + b3624 + b3687
       + b3768 + b4035 + b4196 + b4232 + b4265 + b4277 + b4334 + b4336 + b4644
       + b4658 + b4694 + b4761 + b5014 + b5030 + b5475 + b5746 + b5748 + b5777
       + b5910 + b5979 + b6107 + b6132 + b6302 + b6396 + b6419 + b6456 + b6522
       + b6578 + b6648 + b6662 + b6674 + b6748 + b6863 + b6870 + b6877 + b6898
       + b6916 + b6997 + b7294 + b7295 + b7296 + b7312 + b7582 + b7703 + b7850
       + b7904 + b7916 + b7943 + b8316 + b8428 + b8542 + b8609 + b8669 + b8683
       + b8694 + b8735 + b8888 = 1;

e279:    b2 + b13 + b37 + b181 + b191 + b205 + b213 + b506 + b519 + b553 + b565
       + b570 + b601 + b1029 + b1046 + b1071 + b1161 + b1186 + b1357 + b1375
       + b1460 + b1491 + b1776 + b1789 + b1897 + b1965 + b2047 + b2059 + b2207
       + b2254 + b2308 + b2410 + b2427 + b2502 + b2518 + b2520 + b2524 + b2700
       + b2766 + b2857 + b2860 + b2875 + b2996 + b3192 + b3223 + b3238 + b3324
       + b3396 + b3415 + b3423 + b3431 + b3453 + b3474 + b3528 + b3624 + b3665
       + b3687 + b3768 + b4035 + b4232 + b4265 + b4334 + b4336 + b4640 + b4644
       + b4694 + b4761 + b4923 + b5013 + b5014 + b5020 + b5097 + b5250 + b5417
       + b5475 + b5491 + b5687 + b5746 + b5748 + b5777 + b5807 + b5910 + b5979
       + b6107 + b6132 + b6302 + b6339 + b6419 + b6456 + b6522 + b6578 + b6662
       + b6674 + b6748 + b6863 + b6870 + b6877 + b6898 + b6916 + b6929 + b6997
       + b7165 + b7285 + b7294 + b7295 + b7296 + b7312 + b7686 + b7703 + b7737
       + b7850 + b7862 + b7904 + b7933 + b7943 + b7982 + b8316 + b8351 + b8367
       + b8428 + b8542 + b8583 + b8669 + b8683 + b8694 + b8728 + b8735 + b8890
       = 1;

e280:    b13 + b181 + b191 + b205 + b209 + b239 + b269 + b506 + b519 + b607
       + b718 + b724 + b737 + b787 + b1071 + b1223 + b1349 + b1375 + b1414
       + b1432 + b1460 + b1680 + b1731 + b1806 + b1965 + b2054 + b2059 + b2078
       + b2114 + b2185 + b2308 + b2342 + b2410 + b2427 + b2459 + b2502 + b2504
       + b2518 + b2524 + b2552 + b2565 + b2857 + b2860 + b2875 + b3041 + b3112
       + b3179 + b3188 + b3223 + b3254 + b3361 + b3396 + b3413 + b3423 + b3431
       + b3453 + b3474 + b3487 + b3528 + b3624 + b3700 + b3768 + b4035 + b4062
       + b4118 + b4133 + b4191 + b4232 + b4334 + b4352 + b4373 + b4381 + b4424
       + b4617 + b4640 + b4644 + b4694 + b4761 + b4817 + b4890 + b4923 + b4987
       + b5027 + b5033 + b5055 + b5073 + b5097 + b5104 + b5168 + b5178 + b5181
       + b5244 + b5387 + b5417 + b5435 + b5475 + b5505 + b5594 + b5722 + b5807
       + b5910 + b5979 + b6030 + b6042 + b6065 + b6107 + b6114 + b6132 + b6136
       + b6173 + b6214 + b6302 + b6333 + b6419 + b6425 + b6522 + b6526 + b6593
       + b6640 + b6674 + b6702 + b6748 + b6766 + b6870 + b6916 + b6987 + b6994
       + b6997 + b7037 + b7165 + b7270 + b7295 + b7296 + b7312 + b7383 + b7458
       + b7686 + b7817 + b7850 + b7862 + b7877 + b7904 + b7969 + b8032 + b8111
       + b8158 + b8297 + b8312 + b8351 + b8413 + b8457 + b8629 + b8674 + b8693
       + b8728 + b8735 + b8836 + b8874 + b8890 = 1;

e281:    b13 + b55 + b65 + b93 + b144 + b160 + b176 + b190 + b191 + b205 + b209
       + b228 + b239 + b396 + b506 + b615 + b630 + b718 + b771 + b1224 + b1415
       + b1453 + b1511 + b1525 + b1607 + b1836 + b1965 + b2059 + b2114 + b2348
       + b2372 + b2427 + b2504 + b2518 + b2524 + b2533 + b2565 + b2574 + b2581
       + b2619 + b2668 + b2857 + b2860 + b2871 + b2875 + b2883 + b2979 + b2980
       + b3148 + b3254 + b3271 + b3396 + b3423 + b3453 + b3455 + b3467 + b3487
       + b3500 + b3551 + b3624 + b3689 + b3706 + b3728 + b3750 + b3778 + b3923
       + b4035 + b4062 + b4118 + b4196 + b4232 + b4240 + b4334 + b4352 + b4373
       + b4634 + b4644 + b4694 + b4708 + b4820 + b4916 + b4987 + b5050 + b5055
       + b5073 + b5116 + b5172 + b5181 + b5318 + b5331 + b5417 + b5648 + b5722
       + b5795 + b5805 + b6302 + b6396 + b6425 + b6522 + b6526 + b6593 + b6609
       + b6702 + b6839 + b6870 + b6895 + b6916 + b6997 + b7165 + b7270 + b7273
       + b7295 + b7296 + b7312 + b7351 + b7394 + b7458 + b7877 + b7904 + b7969
       + b8058 + b8139 + b8351 + b8457 + b8513 + b8548 + b8559 + b8629 + b8665
       + b8735 + b8874 = 1;

e282:    b13 + b190 + b205 + b209 + b228 + b239 + b506 + b630 + b718 + b1453
       + b1460 + b1607 + b1731 + b1836 + b1854 + b1965 + b2025 + b2059 + b2114
       + b2237 + b2427 + b2504 + b2518 + b2533 + b2565 + b2574 + b2581 + b2860
       + b2883 + b3254 + b3271 + b3396 + b3423 + b3453 + b3467 + b3487 + b3551
       + b3728 + b3768 + b3923 + b4035 + b4062 + b4118 + b4196 + b4232 + b4240
       + b4334 + b4352 + b4373 + b4644 + b4694 + b4708 + b4761 + b4916 + b4987
       + b5050 + b5055 + b5073 + b5181 + b5648 + b5722 + b5979 + b6114 + b6292
       + b6302 + b6396 + b6522 + b6526 + b6593 + b6702 + b6870 + b6895 + b6997
       + b7165 + b7270 + b7296 + b7351 + b7394 + b7458 + b7877 + b7904 + b7969
       + b8351 + b8457 + b8513 + b8559 + b8629 + b8665 + b8735 + b8874 = 1;

e283:    b13 + b205 + b209 + b224 + b228 + b295 + b342 + b365 + b518 + b519
       + b600 + b718 + b728 + b907 + b930 + b974 + b1065 + b1077 + b1243
       + b1453 + b1460 + b1513 + b1607 + b1731 + b1767 + b1846 + b2016 + b2035
       + b2044 + b2059 + b2112 + b2131 + b2200 + b2202 + b2237 + b2427 + b2533
       + b2565 + b2574 + b2611 + b2766 + b2806 + b2842 + b2855 + b2875 + b2878
       + b3099 + b3185 + b3254 + b3396 + b3423 + b3487 + b3521 + b3624 + b3740
       + b3828 + b4061 + b4062 + b4196 + b4217 + b4232 + b4240 + b4355 + b4373
       + b4468 + b4654 + b4758 + b4761 + b4916 + b4940 + b4951 + b4989 + b5014
       + b5017 + b5028 + b5029 + b5040 + b5050 + b5073 + b5141 + b5181 + b5424
       + b5440 + b5545 + b5722 + b5783 + b5821 + b5891 + b5979 + b6087 + b6114
       + b6293 + b6302 + b6324 + b6396 + b6440 + b6504 + b6522 + b6542 + b6653
       + b6838 + b6870 + b6903 + b6949 + b7165 + b7190 + b7257 + b7280 + b7331
       + b7351 + b7394 + b7458 + b7581 + b7671 + b7708 + b7850 + b7884 + b7904
       + b7943 + b7969 + b7978 + b8048 + b8127 + b8244 + b8351 + b8559 + b8629
       + b8665 + b8669 + b8702 + b8735 + b8818 + b8874 = 1;

e284:    b64 + b79 + b132 + b229 + b290 + b392 + b418 + b462 + b492 + b554
       + b747 + b970 + b1214 + b1250 + b1266 + b1507 + b1786 + b1938 + b2060
       + b2105 + b2128 + b2460 + b2465 + b2696 + b2728 + b2758 + b2763 + b2919
       + b3060 + b3697 + b3832 + b3863 + b3909 + b4010 + b4309 + b4365 + b4411
       + b4633 + b4679 + b4685 + b4722 + b4842 + b4862 + b4963 + b4969 + b4974
       + b5098 + b5256 + b5615 + b5633 + b5669 + b5887 + b5942 + b5961 + b6002
       + b6004 + b6049 + b6102 + b6175 + b6205 + b6247 + b6585 + b6656 + b6753
       + b6881 + b6896 + b6952 + b7067 + b7141 + b7154 + b7325 + b7363 + b7415
       + b7428 + b7491 + b7492 + b7521 + b7614 + b8097 + b8222 + b8336 + b8416
       + b8470 + b8841 + b8883 = 1;

e285:    b79 + b132 + b290 + b392 + b418 + b462 + b554 + b747 + b1214 + b1266
       + b1321 + b1507 + b1727 + b1917 + b2012 + b2105 + b2128 + b2465 + b2525
       + b2575 + b2728 + b2906 + b2919 + b3307 + b3371 + b3616 + b3677 + b3737
       + b3832 + b3858 + b3863 + b3909 + b4085 + b4135 + b4149 + b4162 + b4235
       + b4309 + b4401 + b4411 + b4439 + b4679 + b4685 + b4705 + b4722 + b4807
       + b4862 + b4961 + b4974 + b5117 + b5328 + b5744 + b5835 + b5887 + b6002
       + b6004 + b6102 + b6175 + b6343 + b6363 + b6375 + b6656 + b6881 + b6896
       + b6952 + b7027 + b7141 + b7363 + b7415 + b7428 + b7492 + b7521 + b7938
       + b7950 + b8070 + b8097 + b8115 + b8222 + b8380 + b8416 + b8525 + b8558
       + b8571 + b8679 + b8720 = 1;

e286:    b132 + b290 + b392 + b418 + b462 + b747 + b1214 + b1321 + b1507
       + b1727 + b1917 + b2012 + b2105 + b2128 + b2465 + b2525 + b2575 + b2728
       + b2906 + b2919 + b3307 + b3371 + b3616 + b3677 + b3737 + b3832 + b3858
       + b3863 + b3909 + b4085 + b4135 + b4149 + b4162 + b4235 + b4309 + b4401
       + b4411 + b4679 + b4685 + b4705 + b4722 + b4807 + b4862 + b4961 + b4974
       + b5117 + b5328 + b5744 + b5835 + b5887 + b6002 + b6004 + b6102 + b6175
       + b6343 + b6363 + b6375 + b6656 + b6881 + b6896 + b6952 + b7027 + b7141
       + b7363 + b7428 + b7492 + b7938 + b7950 + b8070 + b8097 + b8222 + b8380
       + b8416 + b8525 + b8558 + b8571 + b8679 + b8720 = 1;

e287:    b132 + b1250 + b1985 + b2460 + b2763 + b3060 + b4722 + b5256 + b6002
       + b6049 + b6571 + b7363 + b7428 = 1;

e288:    b132 + b206 + b1250 + b1985 + b2460 + b2763 + b2915 + b3060 + b4722
       + b5032 + b5256 + b6002 + b6049 + b6571 + b6786 + b6896 + b7363 + b7428
       = 1;

e289:    b79 + b132 + b290 + b481 + b747 + b1250 + b1335 + b1507 + b1777
       + b1786 + b2700 + b2763 + b2915 + b3060 + b3171 + b3697 + b3863 + b3909
       + b4479 + b4685 + b4862 + b5098 + b5256 + b5543 + b5570 + b5608 + b5615
       + b5887 + b6002 + b6004 + b6049 + b6102 + b6205 + b6359 + b6753 + b6896
       + b6952 + b7067 + b7363 + b7415 + b7428 + b7491 + b7492 + b7521 + b8070
       + b8222 + b8416 + b8456 + b8470 + b8742 = 1;

e290:    b138 + b141 + b366 + b376 + b377 + b387 + b439 + b805 + b878 + b1154
       + b1306 + b1582 + b1642 + b1852 + b1880 + b1898 + b2634 + b2717 + b2885
       + b2943 + b3000 + b3048 + b3086 + b3092 + b3110 + b3241 + b3607 + b3617
       + b3734 + b3790 + b4096 + b4260 + b4506 + b4517 + b4558 + b4588 + b4614
       + b4616 + b4710 + b4836 + b4846 + b5053 + b5134 + b5228 + b5321 + b5375
       + b5383 + b5502 + b5556 + b5828 + b5903 + b5978 + b6071 + b6266 + b6555
       + b6602 + b6659 + b6727 + b6728 + b6733 + b6758 + b6819 + b7041 + b7048
       + b7049 + b7536 + b7564 + b7644 + b7706 + b7734 + b8044 + b8528 = 1;

e291:    b138 + b215 + b227 + b730 + b775 + b860 + b878 + b1154 + b1306 + b1443
       + b1454 + b1516 + b1543 + b1551 + b1561 + b1835 + b1852 + b1898 + b2100
       + b2225 + b2677 + b2885 + b2943 + b3048 + b3092 + b3110 + b3268 + b3607
       + b3617 + b3732 + b3784 + b3790 + b3800 + b4123 + b4260 + b4317 + b4429
       + b4513 + b4614 + b4710 + b4816 + b5211 + b5228 + b5502 + b5556 + b5773
       + b5828 + b5970 + b5978 + b6071 + b6446 + b6555 + b6659 + b6819 + b7432
       + b7439 + b7644 + b7734 + b7995 + b8142 + b8471 + b8639 + b8837 = 1;

e292:    b138 + b215 + b227 + b310 + b730 + b775 + b860 + b874 + b878 + b1154
       + b1217 + b1306 + b1443 + b1454 + b1516 + b1543 + b1551 + b1561 + b1835
       + b1898 + b2100 + b2122 + b2212 + b2225 + b2321 + b2677 + b2885 + b2943
       + b3048 + b3092 + b3107 + b3110 + b3121 + b3268 + b3436 + b3607 + b3617
       + b3732 + b3784 + b3790 + b3800 + b4123 + b4260 + b4317 + b4425 + b4429
       + b4453 + b4548 + b4614 + b4710 + b4777 + b4816 + b5183 + b5211 + b5228
       + b5317 + b5502 + b5556 + b5773 + b5828 + b5848 + b5911 + b5970 + b5978
       + b6071 + b6446 + b6555 + b6654 + b6659 + b6819 + b7432 + b7439 + b7534
       + b7555 + b7563 + b7734 + b7995 + b8142 + b8471 + b8639 + b8793 + b8829
       + b8837 + b8844 + b8897 = 1;

e293:    b138 + b215 + b227 + b310 + b730 + b775 + b860 + b874 + b878 + b1137
       + b1154 + b1195 + b1217 + b1306 + b1443 + b1454 + b1516 + b1543 + b1551
       + b1561 + b1835 + b1898 + b2100 + b2212 + b2225 + b2321 + b2677 + b2885
       + b2943 + b3048 + b3092 + b3107 + b3110 + b3121 + b3268 + b3414 + b3436
       + b3607 + b3617 + b3732 + b3770 + b3784 + b3790 + b3800 + b4123 + b4260
       + b4317 + b4398 + b4425 + b4429 + b4548 + b4614 + b4710 + b4777 + b4816
       + b4902 + b5183 + b5211 + b5228 + b5317 + b5348 + b5502 + b5556 + b5604
       + b5773 + b5828 + b5848 + b5911 + b5970 + b5978 + b6071 + b6446 + b6555
       + b6654 + b6659 + b6819 + b7432 + b7439 + b7534 + b7555 + b7563 + b7734
       + b7793 + b7848 + b7995 + b8108 + b8142 + b8471 + b8639 + b8793 + b8837
       + b8844 + b8897 = 1;

e294:    b4 + b215 + b310 + b401 + b775 + b874 + b878 + b903 + b932 + b959
       + b1108 + b1132 + b1137 + b1154 + b1195 + b1217 + b1306 + b1425 + b1443
       + b1543 + b1689 + b1874 + b1898 + b2100 + b2212 + b2298 + b2389 + b2708
       + b3048 + b3092 + b3107 + b3110 + b3114 + b3121 + b3135 + b3157 + b3166
       + b3268 + b3357 + b3414 + b3424 + b3617 + b3732 + b3770 + b3784 + b3800
       + b4260 + b4317 + b4398 + b4414 + b4425 + b4429 + b4600 + b4777 + b4836
       + b4902 + b5228 + b5258 + b5317 + b5502 + b5604 + b5757 + b5848 + b5911
       + b5950 + b5978 + b6071 + b6231 + b6446 + b6555 + b6651 + b6654 + b6738
       + b6739 + b7040 + b7048 + b7439 + b7450 + b7555 + b7563 + b7793 + b7800
       + b7837 + b7848 + b7857 + b7995 + b8108 + b8126 + b8223 + b8471 + b8639
       + b8793 + b8821 + b8897 = 1;

e295:    b4 + b215 + b310 + b401 + b775 + b874 + b878 + b903 + b910 + b920
       + b932 + b959 + b992 + b1108 + b1132 + b1137 + b1154 + b1195 + b1217
       + b1306 + b1379 + b1425 + b1443 + b1451 + b1543 + b1689 + b1713 + b1747
       + b1766 + b1770 + b1790 + b1874 + b1898 + b2039 + b2100 + b2125 + b2212
       + b2230 + b2246 + b2309 + b2318 + b2389 + b2708 + b3015 + b3073 + b3092
       + b3107 + b3110 + b3114 + b3121 + b3135 + b3157 + b3166 + b3176 + b3268
       + b3357 + b3414 + b3424 + b3602 + b3617 + b3686 + b3732 + b3770 + b3784
       + b3800 + b3925 + b3958 + b4030 + b4190 + b4245 + b4260 + b4317 + b4398
       + b4414 + b4425 + b4429 + b4472 + b4600 + b4777 + b4836 + b4902 + b5043
       + b5219 + b5227 + b5258 + b5283 + b5317 + b5345 + b5502 + b5604 + b5757
       + b5782 + b5786 + b5848 + b5911 + b5950 + b5986 + b6071 + b6215 + b6231
       + b6446 + b6460 + b6478 + b6494 + b6555 + b6651 + b6654 + b6739 + b7040
       + b7048 + b7384 + b7439 + b7450 + b7485 + b7505 + b7552 + b7555 + b7563
       + b7793 + b7800 + b7837 + b7848 + b7857 + b7925 + b7995 + b8022 + b8044
       + b8108 + b8126 + b8190 + b8223 + b8414 + b8471 + b8639 + b8793 + b8821
       + b8871 + b8897 = 1;

e296:    b215 + b377 + b1206 + b1306 + b1454 + b1551 + b2634 + b2885 + b2943
       + b3000 + b3015 + b3219 + b3425 + b3607 + b3617 + b3732 + b3734 + b3790
       + b4030 + b4614 + b4836 + b5227 + b5283 + b5375 + b6071 + b6215 + b6557
       + b6659 + b7048 + b7384 + b7734 + b8022 + b8044 + b8083 = 1;

e297:    b215 + b377 + b1206 + b1306 + b1454 + b2634 + b2943 + b3000 + b3219
       + b3425 + b3607 + b3617 + b3734 + b3790 + b4614 + b4836 + b5227 + b5283
       + b5375 + b6557 + b6659 + b7048 + b7384 + b7734 + b8022 + b8083 = 1;

e298:    b215 + b377 + b1206 + b1306 + b1454 + b2634 + b2943 + b3000 + b3219
       + b3425 + b3607 + b3617 + b3734 + b3790 + b4614 + b4836 + b5053 + b5227
       + b5283 + b5375 + b5903 + b6659 + b7048 + b7734 + b8083 = 1;

e299:    b215 + b376 + b377 + b387 + b439 + b1306 + b1454 + b1551 + b1642
       + b1818 + b1852 + b1880 + b2717 + b2885 + b2943 + b3000 + b3241 + b3607
       + b3732 + b3734 + b3790 + b4096 + b4506 + b4517 + b4558 + b4588 + b4616
       + b4836 + b4846 + b5053 + b5134 + b5321 + b5375 + b5383 + b5903 + b6071
       + b6249 + b6266 + b6602 + b6659 + b6727 + b6728 + b6733 + b6758 + b7041
       + b7049 + b7564 + b7644 + b7706 + b7734 + b8044 + b8528 = 1;

e300:    b77 + b264 + b308 + b341 + b824 + b1854 + b2035 + b2666 + b3009
       + b3441 + b3899 + b4008 + b4088 + b4720 + b4764 + b5248 + b5724 + b6292
       + b6341 + b7064 + b7280 + b7499 + b7689 + b7851 + b7861 + b8187 + b8597
       = 1;

e301:    b77 + b578 + b824 + b1589 + b1854 + b2035 + b2666 + b3441 + b3505
       + b3618 + b3899 + b4008 + b4791 + b4839 + b5724 + b6292 + b6638 + b7064
       + b7280 + b7689 + b7851 + b7861 + b8187 + b8321 + b8597 = 1;

e302:    b77 + b578 + b824 + b1589 + b1854 + b3134 + b3441 + b3505 + b3618
       + b3899 + b4008 + b4791 + b4839 + b5724 + b6292 + b6638 + b7063 + b7633
       + b7689 + b7761 + b7851 + b7861 + b8187 + b8321 + b8597 = 1;

e303:    b77 + b350 + b578 + b925 + b965 + b1032 + b1506 + b1590 + b1612
       + b1854 + b1896 + b2025 + b2074 + b2229 + b2612 + b2624 + b3477 + b3505
       + b3618 + b3929 + b4008 + b4160 + b4363 + b4470 + b4476 + b4791 + b4910
       + b5259 + b5323 + b5421 + b5724 + b5800 + b6292 + b6309 + b6706 + b7080
       + b7183 + b7550 + b7585 + b7633 + b7689 + b7851 + b8251 + b8543 + b8597
       = 1;

e304:    b77 + b925 + b965 + b1032 + b1483 + b1506 + b1590 + b1612 + b2596
       + b2624 + b3477 + b3505 + b3618 + b3929 + b4008 + b4160 + b4363 + b4470
       + b4476 + b4791 + b4829 + b4910 + b5259 + b5269 + b5323 + b5421 + b5724
       + b5800 + b5965 + b6706 + b7012 + b7080 + b7183 + b7585 + b7633 + b7689
       + b7851 + b8251 + b8597 = 1;

e305:    b347 + b567 + b661 + b824 + b1032 + b1506 + b1755 + b2596 + b2920
       + b2926 + b3505 + b3578 + b3656 + b3720 + b5152 + b5724 + b5742 + b5772
       + b5792 + b5814 + b6134 + b6341 + b6372 + b6457 + b7183 + b7246 + b7386
       + b7863 = 1;

e306:    b347 + b567 + b646 + b661 + b824 + b1032 + b1506 + b1755 + b2596
       + b2920 + b2926 + b3505 + b3578 + b3656 + b3720 + b5152 + b5724 + b5742
       + b5772 + b5792 + b5814 + b6134 + b6341 + b6372 + b6457 + b7183 + b7246
       + b7386 + b7863 = 1;

e307:    b77 + b308 + b347 + b404 + b567 + b619 + b770 + b824 + b844 + b1020
       + b1395 + b1506 + b1699 + b1755 + b1783 + b2327 + b2607 + b2823 + b2860
       + b3009 + b3056 + b3441 + b3477 + b3505 + b3612 + b3943 + b3986 + b4008
       + b4024 + b4428 + b4527 + b4764 + b4844 + b4930 + b5071 + b5151 + b5248
       + b5364 + b5476 + b5724 + b5728 + b5749 + b5792 + b5836 + b5884 + b6210
       + b6341 + b6372 + b6692 + b7183 + b7246 + b7499 + b7851 + b7861 + b8042
       + b8187 + b8405 + b8504 + b8597 = 1;

e308:    b14 + b343 + b539 + b577 + b970 + b1144 + b1199 + b1211 + b1344
       + b1374 + b1467 + b1471 + b1490 + b1515 + b2045 + b2111 + b2430 + b2807
       + b2963 + b3129 + b3636 + b3681 + b3815 + b3986 + b4044 + b4045 + b4251
       + b4264 + b4287 + b4305 + b4479 + b4799 + b4970 + b5216 + b5568 + b5578
       + b5608 + b5760 + b5794 + b5858 + b6525 + b7215 + b7314 + b7528 + b7819
       + b8053 + b8660 + b8696 + b8742 + b8761 + b8894 = 1;

e309:    b343 + b539 + b1199 + b1211 + b1344 + b1374 + b1390 + b1467 + b1471
       + b1515 + b1534 + b1677 + b2402 + b2600 + b2901 + b3171 + b3198 + b3636
       + b3708 + b3729 + b3796 + b3859 + b3986 + b4230 + b4278 + b4625 + b4807
       + b5568 + b5608 + b5794 + b7409 + b7577 + b7600 + b8053 + b8280 + b8660
       + b8717 = 1;

e310:    b150 + b166 + b343 + b539 + b611 + b1179 + b1199 + b1211 + b1344
       + b1374 + b1390 + b1467 + b1471 + b1515 + b1534 + b1626 + b1677 + b2289
       + b2402 + b2587 + b2600 + b2852 + b2901 + b3171 + b3198 + b3411 + b3548
       + b3636 + b3708 + b3729 + b3796 + b3859 + b3986 + b4230 + b4278 + b4326
       + b4624 + b4625 + b4807 + b5006 + b5078 + b5568 + b5608 + b5794 + b5997
       + b6229 + b7019 + b7302 + b7409 + b7577 + b7600 + b8041 + b8053 + b8280
       + b8660 + b8717 = 1;

e311:    b7 + b166 + b178 + b297 + b343 + b421 + b481 + b539 + b969 + b985
       + b1199 + b1211 + b1246 + b1344 + b1467 + b1534 + b1677 + b1707 + b1916
       + b1931 + b1960 + b1976 + b2123 + b2211 + b2430 + b2736 + b2945 + b3171
       + b3198 + b3226 + b3245 + b3489 + b3729 + b3859 + b3986 + b4105 + b4230
       + b4289 + b4344 + b4479 + b4494 + b4765 + b4982 + b5078 + b5216 + b5335
       + b5495 + b5568 + b5608 + b5637 + b5794 + b5926 + b5997 + b6029 + b6036
       + b6138 + b6359 + b6498 + b6869 + b6937 + b7496 + b7577 + b7580 + b7590
       + b7600 + b8280 + b8456 + b8527 + b8718 + b8761 + b8894 = 1;

e312:    b7 + b178 + b297 + b343 + b421 + b481 + b539 + b969 + b985 + b1199
       + b1211 + b1246 + b1344 + b1467 + b1534 + b1677 + b1707 + b1714 + b1728
       + b1775 + b1783 + b1795 + b1916 + b1931 + b1960 + b1976 + b2123 + b2211
       + b2219 + b2430 + b2607 + b2736 + b2945 + b3171 + b3198 + b3226 + b3245
       + b3489 + b3729 + b3859 + b3973 + b3986 + b3999 + b4008 + b4105 + b4230
       + b4289 + b4344 + b4463 + b4479 + b4488 + b4494 + b4765 + b4982 + b5078
       + b5216 + b5335 + b5495 + b5568 + b5608 + b5637 + b5794 + b5836 + b5926
       + b5997 + b6029 + b6036 + b6138 + b6186 + b6359 + b6498 + b6869 + b6937
       + b7413 + b7496 + b7577 + b7580 + b7590 + b7600 + b8280 + b8366 + b8429
       + b8456 + b8527 + b8718 + b8761 + b8857 + b8894 = 1;

e313:    b7 + b29 + b104 + b163 + b178 + b297 + b343 + b372 + b421 + b452
       + b466 + b508 + b636 + b661 + b705 + b713 + b737 + b969 + b985 + b1014
       + b1188 + b1200 + b1210 + b1211 + b1246 + b1340 + b1344 + b1374 + b1409
       + b1431 + b1450 + b1479 + b1534 + b1572 + b1647 + b1707 + b1714 + b1728
       + b1775 + b1795 + b1916 + b1928 + b1960 + b1976 + b2058 + b2077 + b2090
       + b2123 + b2138 + b2211 + b2219 + b2414 + b2417 + b2430 + b2686 + b2706
       + b2711 + b2736 + b2768 + b2822 + b2835 + b2861 + b2920 + b2935 + b2945
       + b2956 + b2963 + b3162 + b3198 + b3226 + b3245 + b3306 + b3334 + b3361
       + b3459 + b3477 + b3482 + b3489 + b3493 + b3494 + b3501 + b3517 + b3578
       + b3588 + b3656 + b3681 + b3720 + b3724 + b3777 + b3833 + b3899 + b3973
       + b3999 + b4105 + b4121 + b4127 + b4139 + b4142 + b4173 + b4206 + b4230
       + b4264 + b4314 + b4344 + b4444 + b4473 + b4488 + b4494 + b4670 + b4696
       + b4841 + b4872 + b4888 + b4930 + b4945 + b4960 + b4962 + b4968 + b4982
       + b5104 + b5152 + b5216 + b5252 + b5266 + b5335 + b5381 + b5465 + b5599
       + b5617 + b5655 + b5742 + b5772 + b5814 + b5866 + b5878 + b5924 + b5956
       + b5958 + b5989 + b5997 + b6012 + b6036 + b6138 + b6186 + b6369 + b6385
       + b6477 + b6498 + b6505 + b6517 + b6573 + b6686 + b6692 + b6713 + b6745
       + b6855 + b6869 + b6937 + b7111 + b7170 + b7183 + b7187 + b7201 + b7206
       + b7208 + b7228 + b7234 + b7244 + b7386 + b7409 + b7493 + b7496 + b7580
       + b7590 + b7600 + b7682 + b7781 + b7891 + b7894 + b7909 + b7946 + b8045
       + b8059 + b8079 + b8208 + b8280 + b8321 + b8366 + b8373 + b8387 + b8429
       + b8574 + b8583 + b8587 + b8593 + b8614 + b8651 + b8664 + b8685 + b8718
       + b8761 + b8770 + b8846 + b8857 + b8880 + b8882 + b8894 = 1;

e314:    b7 + b29 + b104 + b178 + b297 + b343 + b372 + b421 + b452 + b466
       + b508 + b571 + b661 + b705 + b713 + b737 + b969 + b985 + b1014 + b1188
       + b1200 + b1210 + b1211 + b1246 + b1340 + b1344 + b1374 + b1409 + b1431
       + b1479 + b1534 + b1572 + b1707 + b1714 + b1728 + b1775 + b1795 + b1916
       + b1928 + b1960 + b1976 + b2058 + b2077 + b2090 + b2123 + b2138 + b2211
       + b2219 + b2417 + b2430 + b2686 + b2706 + b2711 + b2736 + b2768 + b2835
       + b2861 + b2920 + b2935 + b2945 + b2956 + b2963 + b3162 + b3198 + b3226
       + b3245 + b3306 + b3334 + b3361 + b3459 + b3482 + b3493 + b3494 + b3501
       + b3517 + b3578 + b3656 + b3681 + b3720 + b3724 + b3833 + b3899 + b3939
       + b3973 + b3999 + b4105 + b4121 + b4127 + b4139 + b4173 + b4206 + b4230
       + b4264 + b4314 + b4344 + b4444 + b4473 + b4488 + b4494 + b4670 + b4841
       + b4872 + b4888 + b4945 + b4960 + b4962 + b4968 + b4982 + b5152 + b5216
       + b5252 + b5266 + b5271 + b5335 + b5465 + b5599 + b5617 + b5655 + b5742
       + b5772 + b5814 + b5866 + b5878 + b5924 + b5958 + b5989 + b5997 + b6012
       + b6036 + b6138 + b6186 + b6369 + b6385 + b6477 + b6498 + b6505 + b6517
       + b6573 + b6686 + b6713 + b6745 + b6869 + b6937 + b7111 + b7170 + b7187
       + b7201 + b7206 + b7208 + b7244 + b7386 + b7409 + b7493 + b7496 + b7580
       + b7590 + b7600 + b7629 + b7781 + b7891 + b7894 + b7909 + b7946 + b8045
       + b8079 + b8208 + b8280 + b8321 + b8366 + b8373 + b8429 + b8574 + b8583
       + b8587 + b8593 + b8614 + b8651 + b8664 + b8685 + b8718 + b8761 + b8770
       + b8846 + b8857 + b8880 + b8882 + b8894 = 1;

e315:    b14 + b178 + b372 + b713 + b1199 + b1241 + b1242 + b1246 + b1344
       + b1374 + b1471 + b1534 + b1672 + b1916 + b2058 + b2060 + b2077 + b2211
       + b2430 + b2511 + b2696 + b2736 + b2963 + b3061 + b3198 + b3245 + b3361
       + b3681 + b3899 + b4264 + b5216 + b5271 + b5335 + b5599 + b5637 + b5666
       + b5878 + b5942 + b6012 + b6036 + b6385 + b6477 + b6573 + b6869 + b7244
       + b7409 + b7493 + b7577 + b8045 + b8079 + b8280 + b8321 + b8696 + b8761
       + b8792 + b8883 = 1;

e316:    b135 + b170 + b301 + b536 + b979 + b1504 + b1843 + b1890 + b1955
       + b1974 + b2001 + b2262 + b2878 + b2915 + b3141 + b3284 + b3804 + b3809
       + b4073 + b4106 + b4132 + b4181 + b4214 + b4587 + b4716 + b5351 + b5392
       + b5513 + b5766 + b5798 + b6233 + b6278 + b6389 + b6603 + b6623 + b6691
       + b6807 + b6910 + b7336 + b7337 + b7435 + b7627 + b8171 + b8192 + b8440
       + b8481 + b8852 + b8856 = 1;

e317:    b135 + b170 + b301 + b536 + b979 + b1504 + b1843 + b1890 + b1955
       + b1974 + b2001 + b2262 + b2878 + b2915 + b3141 + b3284 + b3804 + b3809
       + b4073 + b4106 + b4132 + b4181 + b4214 + b4587 + b4716 + b5351 + b5392
       + b5513 + b5766 + b5798 + b6233 + b6278 + b6389 + b6603 + b6691 + b6807
       + b6910 + b7336 + b7337 + b7627 + b8171 + b8192 + b8440 + b8481 + b8852
       + b8856 = 1;

e318:    b170 + b410 + b979 + b1490 + b1504 + b1890 + b1955 + b1974 + b2001
       + b2262 + b2711 + b2805 + b2915 + b3141 + b3284 + b3471 + b3491 + b3504
       + b3809 + b4073 + b4106 + b4181 + b4434 + b4459 + b4587 + b4716 + b4863
       + b5032 + b5351 + b5392 + b5513 + b5766 + b6691 + b6807 + b7206 + b7297
       + b7337 + b7627 + b8490 + b8856 + b8882 = 1;

e319:    b170 + b196 + b360 + b410 + b1490 + b1841 + b1890 + b2001 + b2248
       + b2262 + b2492 + b2649 + b2711 + b2915 + b3222 + b3284 + b3504 + b4073
       + b4106 + b4181 + b4434 + b4459 + b4863 + b5032 + b5265 + b5301 + b5513
       + b5766 + b5977 + b6220 + b6298 + b6691 + b6807 + b6962 + b7077 + b7107
       + b7206 + b7297 + b7337 + b8188 + b8440 + b8490 + b8882 = 1;

e320:    b5 + b170 + b379 + b410 + b979 + b1490 + b1617 + b1841 + b1859 + b1890
       + b2001 + b2064 + b2189 + b2199 + b2235 + b2248 + b2262 + b2367 + b2537
       + b2649 + b2805 + b2915 + b3222 + b3260 + b3284 + b3504 + b3544 + b3717
       + b3726 + b3809 + b3811 + b3921 + b3939 + b4065 + b4073 + b4106 + b4169
       + b4181 + b4228 + b4459 + b4587 + b4716 + b4863 + b5032 + b5265 + b5445
       + b5513 + b5582 + b5766 + b5798 + b6165 + b6220 + b6227 + b6298 + b6415
       + b6432 + b6473 + b6501 + b6691 + b6807 + b6814 + b7077 + b7137 + b7667
       + b8188 + b8269 + b8440 + b8488 + b8490 + b8641 + b8732 + b8734 + b8798
       + b8852 + b8864 = 1;

e321:    b5 + b170 + b379 + b410 + b979 + b1317 + b1378 + b1490 + b1617 + b1627
       + b1841 + b1859 + b1890 + b2001 + b2064 + b2189 + b2199 + b2235 + b2248
       + b2262 + b2367 + b2418 + b2537 + b2649 + b2805 + b2915 + b3222 + b3260
       + b3284 + b3504 + b3544 + b3717 + b3726 + b3809 + b3811 + b3842 + b3921
       + b4065 + b4073 + b4106 + b4169 + b4181 + b4228 + b4457 + b4459 + b4521
       + b4587 + b4716 + b4863 + b5032 + b5265 + b5445 + b5513 + b5582 + b5766
       + b5798 + b5853 + b6165 + b6220 + b6227 + b6298 + b6415 + b6432 + b6473
       + b6501 + b6691 + b6807 + b6814 + b6938 + b7009 + b7077 + b7137 + b7667
       + b8188 + b8189 + b8269 + b8440 + b8488 + b8490 + b8641 + b8732 + b8734
       + b8798 + b8843 + b8852 + b8864 = 1;

e322:    b5 + b170 + b379 + b410 + b979 + b1053 + b1317 + b1378 + b1490 + b1542
       + b1553 + b1613 + b1617 + b1841 + b1859 + b1890 + b2001 + b2106 + b2189
       + b2199 + b2235 + b2248 + b2262 + b2367 + b2418 + b2501 + b2537 + b2649
       + b2805 + b3003 + b3041 + b3222 + b3233 + b3260 + b3284 + b3371 + b3544
       + b3564 + b3717 + b3726 + b3763 + b3809 + b3811 + b3921 + b4065 + b4073
       + b4106 + b4169 + b4228 + b4329 + b4434 + b4457 + b4459 + b4587 + b4622
       + b4632 + b4716 + b4863 + b5032 + b5265 + b5279 + b5387 + b5445 + b5470
       + b5513 + b5582 + b5766 + b5798 + b5853 + b5916 + b6165 + b6220 + b6227
       + b6298 + b6323 + b6415 + b6432 + b6473 + b6501 + b6691 + b6807 + b6814
       + b6844 + b6871 + b6883 + b7009 + b7077 + b7137 + b7456 + b7652 + b7667
       + b7790 + b8039 + b8107 + b8117 + b8124 + b8188 + b8189 + b8269 + b8440
       + b8488 + b8490 + b8641 + b8843 + b8852 + b8864 = 1;

e323:    b170 + b410 + b554 + b1053 + b1466 + b1490 + b1504 + b1843 + b2199
       + b2382 + b2462 + b2537 + b2726 + b2878 + b3003 + b3809 + b3921 + b4608
       + b4622 + b5392 + b5470 + b5766 + b5798 + b6165 + b6233 + b6389 + b6432
       + b6691 + b6814 + b6910 + b7009 + b7336 + b7627 + b8342 + b8440 + b8641
       + b8852 = 1;

e324:    b170 + b410 + b554 + b1466 + b1490 + b1504 + b1843 + b2199 + b2382
       + b2462 + b2537 + b2726 + b2878 + b3003 + b3809 + b3921 + b4106 + b4608
       + b4622 + b4863 + b4873 + b5392 + b5470 + b5766 + b5798 + b6165 + b6233
       + b6389 + b6432 + b6623 + b6691 + b6814 + b6910 + b7009 + b7336 + b7627
       + b8342 + b8440 + b8481 + b8641 + b8852 = 1;

e325:    b415 + b419 + b426 + b1343 + b1387 + b1672 + b2020 + b2103 + b2223
       + b2901 + b3171 + b3198 + b3471 + b3491 + b3504 + b3539 + b3580 + b3704
       + b3859 + b3866 + b3971 + b4105 + b4346 + b4432 + b4822 + b4874 + b4885
       + b5594 + b5708 + b5797 + b5999 + b6036 + b6147 + b6339 + b7075 + b7244
       + b7297 + b7409 + b7577 + b7600 + b7979 + b8456 + b8762 + b8806 = 1;

e326:    b234 + b270 + b305 + b611 + b828 + b956 + b1343 + b1672 + b1811
       + b1884 + b2020 + b2111 + b2123 + b2211 + b2223 + b2583 + b3129 + b3250
       + b3597 + b3813 + b4058 + b4105 + b4264 + b4305 + b4314 + b4432 + b4479
       + b4491 + b4799 + b5076 + b5199 + b5431 + b5822 + b5858 + b6034 + b6036
       + b6573 + b6693 + b6928 + b7244 + b7792 + b8134 + b8211 + b8456 + b8467
       + b8529 + b8667 + b8696 + b8706 + b8761 + b8792 + b8868 + b8894 = 1;

e327:    b234 + b270 + b305 + b611 + b828 + b956 + b1343 + b1672 + b1811
       + b1884 + b2020 + b2111 + b2123 + b2211 + b2223 + b2583 + b3129 + b3250
       + b3597 + b3813 + b4058 + b4105 + b4264 + b4305 + b4314 + b4432 + b4479
       + b4491 + b4799 + b5076 + b5199 + b5431 + b5822 + b5858 + b6034 + b6036
       + b6573 + b6693 + b6928 + b7244 + b7792 + b8134 + b8211 + b8456 + b8467
       + b8529 + b8667 + b8696 + b8706 + b8761 + b8792 + b8868 + b8894 = 1;

e328:    b193 + b270 + b305 + b444 + b815 + b828 + b836 + b956 + b1138 + b1241
       + b1343 + b1440 + b1574 + b1672 + b1811 + b2020 + b2193 + b2247 + b2469
       + b2532 + b2772 + b3116 + b3129 + b3435 + b3792 + b3971 + b4058 + b4305
       + b4431 + b4432 + b4491 + b4799 + b5199 + b5310 + b5431 + b5489 + b5635
       + b5819 + b5822 + b5946 + b5999 + b6034 + b6161 + b6568 + b6616 + b6693
       + b6944 + b6971 + b6972 + b7022 + b7362 + b7638 + b7692 + b7701 + b7809
       + b8044 + b8134 + b8190 + b8287 + b8467 + b8529 + b8667 + b8696 + b8706
       + b8792 = 1;

e329:    b193 + b444 + b815 + b828 + b956 + b1138 + b1241 + b1343 + b1440
       + b1574 + b1672 + b1811 + b2193 + b2247 + b2469 + b2532 + b3116 + b3435
       + b3792 + b3971 + b4058 + b4305 + b4431 + b4432 + b4799 + b5635 + b5819
       + b5822 + b5946 + b5999 + b6034 + b6161 + b6568 + b6944 + b6971 + b6972
       + b7022 + b7362 + b7692 + b7701 + b7809 + b8044 + b8190 + b8287 + b8467
       + b8529 + b8667 + b8696 + b8706 + b8792 = 1;

e330:    b193 + b444 + b815 + b828 + b956 + b1138 + b1241 + b1343 + b1440
       + b1574 + b1672 + b1811 + b2193 + b2247 + b2469 + b2532 + b3048 + b3116
       + b3435 + b3792 + b3971 + b4058 + b4305 + b4431 + b4432 + b4799 + b5228
       + b5635 + b5819 + b5822 + b5946 + b5978 + b5999 + b6034 + b6161 + b6568
       + b6944 + b6971 + b6972 + b7022 + b7362 + b7692 + b7701 + b7809 + b8287
       + b8467 + b8529 + b8667 + b8696 + b8706 + b8792 = 1;

e331:    b196 + b208 + b426 + b927 + b1012 + b1035 + b1151 + b1199 + b1241
       + b1343 + b1471 + b1573 + b1672 + b1682 + b1708 + b1761 + b1792 + b1811
       + b1851 + b2004 + b2081 + b2165 + b2304 + b2492 + b2901 + b3048 + b3116
       + b3257 + b3435 + b3474 + b3539 + b3580 + b3859 + b3971 + b4058 + b4237
       + b4305 + b4496 + b4674 + b4709 + b4713 + b4748 + b4799 + b5228 + b5301
       + b5568 + b5594 + b5635 + b5637 + b5828 + b5977 + b5978 + b5999 + b6061
       + b6161 + b6290 + b6921 + b6971 + b6972 + b7577 + b7692 + b7701 + b7786
       + b7840 + b7979 + b8431 + b8500 + b8529 + b8696 + b8706 + b8792 + b8806
       + b8811 + b8832 = 1;

e332:    b196 + b208 + b426 + b927 + b1012 + b1035 + b1199 + b1241 + b1343
       + b1471 + b1573 + b1672 + b1708 + b1761 + b1792 + b1811 + b1851 + b2004
       + b2081 + b2165 + b2304 + b2492 + b2901 + b3048 + b3116 + b3257 + b3435
       + b3474 + b3539 + b3580 + b3859 + b3971 + b4058 + b4305 + b4496 + b4709
       + b4713 + b4748 + b4799 + b5228 + b5301 + b5568 + b5594 + b5635 + b5637
       + b5828 + b5977 + b5978 + b5999 + b6061 + b6161 + b6290 + b6921 + b6971
       + b6972 + b7577 + b7692 + b7701 + b7786 + b7840 + b7979 + b8431 + b8500
       + b8529 + b8696 + b8706 + b8792 + b8806 + b8811 + b8832 = 1;

e333:    b426 + b1188 + b1211 + b1343 + b1811 + b2901 + b3048 + b3435 + b3474
       + b3539 + b3580 + b3859 + b3971 + b4058 + b4105 + b4115 + b4305 + b4709
       + b4711 + b4822 + b4841 + b4872 + b4982 + b5228 + b5568 + b5594 + b5635
       + b5646 + b5708 + b5828 + b5978 + b5999 + b6290 + b6347 + b7075 + b7297
       + b7337 + b7600 + b7660 + b7979 + b8500 + b8706 + b8806 + b8894 = 1;

e334:    b28 + b372 + b400 + b619 + b789 + b993 + b1188 + b1200 + b1210 + b1296
       + b1335 + b1395 + b1505 + b1549 + b1567 + b1591 + b1651 + b1657 + b1810
       + b2137 + b2327 + b2823 + b3175 + b3194 + b3775 + b4127 + b4217 + b4451
       + b4527 + b4841 + b4872 + b5071 + b5295 + b5599 + b5617 + b5639 + b5749
       + b5941 + b5969 + b6012 + b6242 + b6251 + b6353 + b6416 + b6587 + b6594
       + b6628 + b6725 + b6901 + b7160 + b7722 + b8042 + b8153 + b8164 + b8240
       + b8465 + b8466 + b8492 + b8504 + b8743 + b8815 = 1;

e335:    b341 + b608 + b646 + b942 + b1336 + b1408 + b1447 + b2802 + b3559
       + b3589 + b3663 + b3906 + b4611 + b5044 + b5108 + b5752 + b5768 + b5778
       + b5896 + b6181 + b6226 + b6416 + b6479 + b7160 + b7357 + b7939 + b8038
       + b8123 + b8137 + b8282 + b8344 + b8400 + b8410 + b8474 + b8475 + b8752
       + b8905 = 1;

e336:    b341 + b608 + b942 + b1336 + b1408 + b1447 + b2089 + b2802 + b3559
       + b3589 + b3663 + b3906 + b4611 + b4801 + b5044 + b5108 + b5213 + b5261
       + b5304 + b5524 + b5752 + b5768 + b5778 + b5896 + b5900 + b6181 + b6226
       + b6416 + b6479 + b6562 + b6592 + b7160 + b7333 + b7353 + b7357 + b7939
       + b8038 + b8090 + b8123 + b8137 + b8282 + b8344 + b8400 + b8410 + b8474
       + b8475 + b8752 + b8905 = 1;

e337:    b28 + b265 + b341 + b400 + b573 + b720 + b1210 + b1911 + b2413 + b3053
       + b3106 + b3301 + b3662 + b3775 + b4053 + b4088 + b4287 + b4892 + b5639
       + b6147 + b6253 + b6416 + b6594 + b6725 + b7104 + b7357 + b7525 + b7806
       + b8164 + b8465 + b8474 + b8475 + b8493 + b8815 = 1;

e338:    b318 + b410 + b497 + b1006 + b1466 + b2083 + b2117 + b2554 + b3640
       + b3673 + b4357 + b4437 + b4739 + b4783 + b4863 + b4873 + b5905 + b5915
       + b6152 + b6613 + b7002 + b8070 + b8490 + b8668 + b8898 = 1;

e339:    b306 + b369 + b760 + b765 + b1466 + b1656 + b1843 + b2083 + b2117
       + b2993 + b3075 + b3631 + b3640 + b3673 + b4132 + b4319 + b4437 + b4739
       + b4790 + b4873 + b4956 + b5164 + b5875 + b5905 + b6278 + b6579 + b6747
       + b6990 + b7470 + b8070 + b8481 + b8668 + b8848 + b8878 = 1;

e340:    b306 + b369 + b760 + b765 + b1179 + b1466 + b1656 + b1843 + b2048
       + b2083 + b2117 + b2993 + b3075 + b3411 + b3631 + b3640 + b3673 + b3682
       + b4132 + b4319 + b4326 + b4437 + b4739 + b4790 + b4873 + b4956 + b5164
       + b5875 + b5905 + b6278 + b6579 + b6747 + b6990 + b7470 + b8070 + b8481
       + b8668 + b8848 + b8878 = 1;

e341:    b306 + b312 + b369 + b618 + b760 + b765 + b995 + b1006 + b1021 + b1466
       + b1568 + b1631 + b1656 + b1843 + b1992 + b2048 + b2133 + b2209 + b2308
       + b2318 + b2550 + b2551 + b2787 + b2993 + b3075 + b3167 + b3178 + b3252
       + b3488 + b3621 + b3652 + b3673 + b3897 + b4319 + b4320 + b4326 + b4374
       + b4417 + b4437 + b4710 + b4739 + b4779 + b4790 + b4873 + b4956 + b5016
       + b5025 + b5164 + b5281 + b5289 + b5374 + b5428 + b5441 + b5474 + b5763
       + b5875 + b6063 + b6078 + b6095 + b6167 + b6278 + b6398 + b6569 + b6579
       + b6600 + b6665 + b6747 + b6990 + b6996 + b7292 + b7460 + b7470 + b7510
       + b7625 + b7714 + b7726 + b7735 + b7816 + b7953 + b7984 + b8133 + b8156
       + b8225 + b8288 + b8303 + b8481 + b8640 + b8668 + b8672 + b8803 + b8848
       + b8854 + b8878 = 1;

e342:    b306 + b312 + b369 + b618 + b760 + b765 + b995 + b1006 + b1021 + b1466
       + b1568 + b1631 + b1656 + b1843 + b1992 + b2048 + b2133 + b2209 + b2308
       + b2318 + b2550 + b2551 + b2787 + b2993 + b3075 + b3167 + b3178 + b3252
       + b3488 + b3621 + b3652 + b3673 + b3897 + b4319 + b4320 + b4326 + b4374
       + b4417 + b4437 + b4710 + b4739 + b4779 + b4790 + b4873 + b4956 + b5016
       + b5025 + b5164 + b5281 + b5289 + b5374 + b5428 + b5441 + b5474 + b5763
       + b5875 + b6063 + b6078 + b6095 + b6167 + b6278 + b6398 + b6569 + b6579
       + b6600 + b6665 + b6747 + b6990 + b6996 + b7292 + b7460 + b7470 + b7510
       + b7625 + b7714 + b7726 + b7735 + b7816 + b7953 + b7984 + b8133 + b8156
       + b8225 + b8288 + b8303 + b8481 + b8640 + b8668 + b8672 + b8803 + b8848
       + b8854 + b8878 = 1;

e343:    b260 + b283 + b378 + b560 + b717 + b765 + b1006 + b1185 + b1392
       + b1595 + b1631 + b1656 + b1832 + b1890 + b1992 + b2041 + b2083 + b2085
       + b2117 + b2209 + b2308 + b2363 + b2555 + b3167 + b3564 + b3621 + b3640
       + b4106 + b4132 + b4318 + b4320 + b4710 + b4783 + b4863 + b4873 + b5030
       + b5379 + b5428 + b5763 + b5915 + b6167 + b6273 + b6278 + b6398 + b6541
       + b6744 + b6747 + b7002 + b7443 + b7460 + b7714 + b7830 + b7953 + b8225
       + b8249 + b8481 + b8490 + b8640 + b8668 + b8854 + b8866 + b8877 = 1;

e344:    b260 + b283 + b560 + b717 + b765 + b1006 + b1392 + b1595 + b1656
       + b1832 + b1890 + b1992 + b2041 + b2083 + b2085 + b2117 + b2308 + b2363
       + b2555 + b3564 + b3621 + b3640 + b4132 + b4320 + b4710 + b4783 + b5030
       + b5379 + b5428 + b5763 + b5915 + b6167 + b6273 + b6278 + b6398 + b6541
       + b6744 + b6747 + b7002 + b7443 + b7460 + b7714 + b7953 + b8225 + b8249
       + b8490 + b8640 + b8668 + b8854 + b8866 = 1;

e345:    b209 + b213 + b220 + b239 + b295 + b339 + b370 + b379 + b442 + b588
       + b774 + b972 + b974 + b1045 + b1134 + b1155 + b1176 + b1355 + b1394
       + b1518 + b1637 + b1645 + b1652 + b1780 + b1784 + b1788 + b1849 + b2034
       + b2037 + b2059 + b2347 + b2432 + b2457 + b2504 + b2520 + b2565 + b2660
       + b2681 + b2842 + b2872 + b3008 + b3041 + b3099 + b3264 + b3341 + b3375
       + b3476 + b3487 + b3518 + b3745 + b3812 + b3877 + b3913 + b3962 + b3980
       + b4033 + b4334 + b4355 + b4370 + b4574 + b4638 + b4654 + b4744 + b4871
       + b4997 + b5014 + b5017 + b5176 + b5230 + b5293 + b5308 + b5387 + b5400
       + b5413 + b5485 + b5565 + b5642 + b5981 + b6013 + b6213 + b6222 + b6828
       + b6877 + b6880 + b6895 + b7008 + b7025 + b7036 + b7164 + b7223 + b7251
       + b7331 + b7456 + b7472 + b7537 + b7606 + b7671 + b7789 + b7796 + b7877
       + b7884 + b7924 + b7942 + b7956 + b8196 + b8221 + b8267 + b8306 + b8382
       + b8419 + b8420 + b8498 + b8702 + b8709 = 1;

e346:    b39 + b74 + b171 + b188 + b209 + b213 + b220 + b239 + b273 + b295
       + b339 + b370 + b379 + b442 + b547 + b774 + b972 + b974 + b1045 + b1134
       + b1155 + b1176 + b1197 + b1355 + b1394 + b1518 + b1637 + b1645 + b1652
       + b1784 + b1849 + b1980 + b2030 + b2034 + b2037 + b2059 + b2075 + b2316
       + b2339 + b2347 + b2390 + b2432 + b2457 + b2504 + b2565 + b2660 + b2681
       + b2842 + b2876 + b2891 + b2893 + b3008 + b3041 + b3099 + b3264 + b3341
       + b3375 + b3407 + b3476 + b3487 + b3506 + b3518 + b3745 + b3812 + b3839
       + b3877 + b3913 + b3928 + b3962 + b3980 + b4146 + b4334 + b4355 + b4370
       + b4574 + b4638 + b4654 + b4690 + b4744 + b4762 + b4871 + b4997 + b5014
       + b5017 + b5176 + b5217 + b5230 + b5293 + b5308 + b5387 + b5400 + b5413
       + b5470 + b5485 + b5565 + b5642 + b5644 + b5725 + b5981 + b6013 + b6222
       + b6240 + b6433 + b6451 + b6828 + b6866 + b6877 + b6880 + b6895 + b7008
       + b7025 + b7036 + b7105 + b7164 + b7251 + b7313 + b7331 + b7332 + b7417
       + b7456 + b7472 + b7537 + b7606 + b7671 + b7674 + b7789 + b7796 + b7877
       + b7884 + b7902 + b7942 + b7956 + b8196 + b8221 + b8267 + b8306 + b8382
       + b8419 + b8498 + b8702 + b8709 + b8818 = 1;

e347:    b239 + b295 + b590 + b663 + b753 + b897 + b974 + b1045 + b1247 + b1346
       + b1355 + b1953 + b1980 + b2037 + b2075 + b2347 + b2432 + b2457 + b2565
       + b2842 + b2891 + b2988 + b3023 + b3041 + b3173 + b3375 + b3470 + b3518
       + b3657 + b3928 + b4146 + b4192 + b4370 + b4574 + b4638 + b4690 + b4744
       + b4762 + b4951 + b4989 + b4997 + b5017 + b5040 + b5055 + b5212 + b5217
       + b5230 + b5308 + b5387 + b5470 + b5642 + b5668 + b5688 + b5859 + b5975
       + b6013 + b6392 + b6431 + b6433 + b6576 + b6702 + b6880 + b6915 + b6979
       + b7073 + b7196 + b7331 + b7456 + b7458 + b7606 + b7671 + b7884 + b7893
       + b7942 + b7974 + b8127 + b8267 + b8629 + b8702 + b8818 + b8850 = 1;

e348:    b239 + b295 + b590 + b663 + b753 + b897 + b974 + b1045 + b1247 + b1346
       + b1355 + b1953 + b1980 + b2037 + b2075 + b2347 + b2432 + b2457 + b2565
       + b2842 + b2891 + b2988 + b3023 + b3041 + b3173 + b3375 + b3470 + b3518
       + b3657 + b3928 + b4146 + b4192 + b4370 + b4574 + b4638 + b4690 + b4744
       + b4762 + b4951 + b4989 + b4997 + b5017 + b5040 + b5055 + b5212 + b5217
       + b5230 + b5308 + b5387 + b5470 + b5642 + b5668 + b5688 + b5859 + b5975
       + b6013 + b6392 + b6431 + b6433 + b6576 + b6702 + b6880 + b6915 + b6979
       + b7073 + b7196 + b7331 + b7456 + b7458 + b7606 + b7671 + b7884 + b7893
       + b7942 + b7974 + b8127 + b8267 + b8629 + b8702 + b8818 + b8850 = 1;

e349:    b57 + b109 + b188 + b213 + b220 + b295 + b534 + b565 + b590 + b663
       + b928 + b964 + b972 + b1077 + b1123 + b1155 + b1247 + b1394 + b1477
       + b1645 + b1789 + b1953 + b1980 + b2030 + b2037 + b2075 + b2112 + b2200
       + b2347 + b2670 + b2780 + b2842 + b2891 + b3023 + b3064 + b3099 + b3210
       + b3375 + b3454 + b3470 + b3518 + b3884 + b3962 + b3966 + b4054 + b4177
       + b4370 + b4635 + b4638 + b4690 + b4758 + b4762 + b4940 + b4948 + b4989
       + b4997 + b5028 + b5029 + b5040 + b5084 + b5212 + b5217 + b5230 + b5279
       + b5413 + b5574 + b5668 + b5725 + b5852 + b5859 + b6117 + b6130 + b6433
       + b6439 + b6466 + b6770 + b6826 + b6863 + b7008 + b7077 + b7163 + b7189
       + b7196 + b7265 + b7332 + b7537 + b7566 + b7606 + b7671 + b7708 + b7796
       + b7956 + b7974 + b7978 + b8085 + b8221 + b8233 + b8244 + b8270 + b8306
       + b8420 + b8669 + b8683 + b8788 + b8818 + b8850 = 1;

e350:    b57 + b109 + b188 + b213 + b220 + b295 + b432 + b534 + b565 + b590
       + b663 + b928 + b964 + b972 + b1077 + b1123 + b1155 + b1247 + b1394
       + b1477 + b1645 + b1789 + b1859 + b1953 + b1980 + b2030 + b2037 + b2075
       + b2112 + b2200 + b2347 + b2670 + b2726 + b2780 + b2842 + b2891 + b3023
       + b3064 + b3099 + b3210 + b3375 + b3454 + b3470 + b3518 + b3884 + b3962
       + b3966 + b4054 + b4177 + b4370 + b4635 + b4638 + b4690 + b4758 + b4762
       + b4940 + b4948 + b4989 + b4997 + b5028 + b5029 + b5040 + b5084 + b5212
       + b5217 + b5230 + b5279 + b5413 + b5574 + b5668 + b5725 + b5852 + b5859
       + b6117 + b6130 + b6433 + b6439 + b6466 + b6770 + b6826 + b6863 + b7008
       + b7077 + b7163 + b7189 + b7196 + b7265 + b7332 + b7537 + b7566 + b7606
       + b7671 + b7708 + b7796 + b7956 + b7974 + b7978 + b8085 + b8188 + b8221
       + b8233 + b8244 + b8270 + b8306 + b8420 + b8669 + b8683 + b8788 + b8818
       + b8850 = 1;

e351:    b109 + b170 + b196 + b224 + b295 + b321 + b360 + b518 + b534 + b907
       + b930 + b939 + b964 + b972 + b1077 + b1243 + b1355 + b1394 + b1438
       + b1513 + b1789 + b1841 + b1907 + b2037 + b2087 + b2112 + b2200 + b2305
       + b2316 + b2347 + b2427 + b2492 + b2538 + b2649 + b2670 + b2873 + b2889
       + b3023 + b3064 + b3099 + b3185 + b3200 + b3208 + b3210 + b3255 + b3375
       + b3470 + b3518 + b3593 + b3672 + b3962 + b4054 + b4172 + b4515 + b4561
       + b4627 + b4690 + b4758 + b4762 + b4785 + b4940 + b4948 + b4989 + b4997
       + b5028 + b5029 + b5040 + b5136 + b5212 + b5230 + b5265 + b5297 + b5301
       + b5424 + b5440 + b5545 + b5741 + b5789 + b5852 + b5859 + b5977 + b6130
       + b6220 + b6298 + b6439 + b6770 + b6807 + b6817 + b6826 + b6828 + b6838
       + b6863 + b6903 + b6962 + b7008 + b7077 + b7107 + b7163 + b7189 + b7196
       + b7332 + b7338 + b7551 + b7566 + b7581 + b7671 + b7789 + b7878 + b7978
       + b8048 + b8085 + b8188 + b8244 + b8306 + b8440 + b8572 + b8669 + b8795
       + b8818 + b8819 = 1;

e352:    b109 + b224 + b295 + b518 + b534 + b907 + b930 + b939 + b964 + b972
       + b1077 + b1243 + b1355 + b1394 + b1438 + b1513 + b1789 + b1907 + b2037
       + b2087 + b2112 + b2200 + b2305 + b2316 + b2347 + b2427 + b2538 + b2670
       + b2873 + b2889 + b3023 + b3064 + b3099 + b3185 + b3200 + b3208 + b3210
       + b3255 + b3375 + b3470 + b3518 + b3672 + b3962 + b4054 + b4172 + b4515
       + b4561 + b4627 + b4690 + b4758 + b4762 + b4940 + b4948 + b4989 + b4997
       + b5028 + b5029 + b5040 + b5136 + b5212 + b5230 + b5424 + b5440 + b5545
       + b5789 + b5852 + b5859 + b6130 + b6770 + b6817 + b6826 + b6828 + b6838
       + b6863 + b6903 + b7008 + b7163 + b7189 + b7196 + b7332 + b7338 + b7551
       + b7566 + b7581 + b7671 + b7789 + b7878 + b7978 + b8048 + b8085 + b8244
       + b8306 + b8572 + b8669 + b8795 + b8818 + b8819 = 1;

e353:    b39 + b120 + b154 + b155 + b171 + b188 + b202 + b223 + b239 + b451
       + b534 + b536 + b541 + b547 + b549 + b565 + b855 + b911 + b939 + b972
       + b973 + b1077 + b1121 + b1197 + b1314 + b1346 + b1355 + b1394 + b1404
       + b1438 + b1477 + b1518 + b1632 + b1645 + b1652 + b1788 + b1789 + b1836
       + b1849 + b1924 + b1965 + b1980 + b2030 + b2037 + b2087 + b2114 + b2195
       + b2305 + b2316 + b2320 + b2323 + b2355 + b2424 + b2457 + b2497 + b2504
       + b2518 + b2520 + b2538 + b2615 + b2670 + b2681 + b2691 + b2718 + b2873
       + b2891 + b2996 + b3008 + b3023 + b3064 + b3132 + b3136 + b3200 + b3208
       + b3253 + b3255 + b3335 + b3366 + b3407 + b3423 + b3467 + b3470 + b3518
       + b3551 + b3657 + b3745 + b3768 + b3884 + b3913 + b3923 + b3932 + b3962
       + b4014 + b4065 + b4158 + b4192 + b4214 + b4334 + b4352 + b4378 + b4561
       + b4568 + b4573 + b4627 + b4690 + b4708 + b4762 + b5055 + b5147 + b5159
       + b5217 + b5231 + b5293 + b5308 + b5342 + b5395 + b5400 + b5424 + b5565
       + b5590 + b5630 + b5634 + b5642 + b5688 + b5789 + b5859 + b6013 + b6057
       + b6130 + b6132 + b6177 + b6220 + b6222 + b6240 + b6345 + b6389 + b6433
       + b6451 + b6466 + b6499 + b6526 + b6593 + b6670 + b6702 + b6770 + b6794
       + b6826 + b6828 + b6850 + b6863 + b6877 + b6932 + b6997 + b7008 + b7086
       + b7164 + b7189 + b7196 + b7237 + b7332 + b7551 + b7573 + b7612 + b7674
       + b7715 + b7765 + b7789 + b7877 + b7893 + b7904 + b8149 + b8233 + b8306
       + b8323 + b8428 + b8472 + b8498 + b8515 + b8572 + b8580 + b8595 + b8606
       + b8709 + b8757 + b8819 + b8850 = 1;

e354:    b23 + b57 + b114 + b120 + b154 + b155 + b164 + b202 + b209 + b223
       + b228 + b239 + b295 + b534 + b541 + b565 + b617 + b907 + b911 + b930
       + b972 + b974 + b1024 + b1077 + b1121 + b1243 + b1314 + b1325 + b1346
       + b1355 + b1394 + b1404 + b1438 + b1477 + b1518 + b1607 + b1632 + b1652
       + b1788 + b1836 + b1849 + b1924 + b1980 + b2034 + b2037 + b2059 + b2075
       + b2087 + b2195 + b2202 + b2305 + b2320 + b2323 + b2338 + b2355 + b2424
       + b2431 + b2432 + b2457 + b2462 + b2497 + b2504 + b2520 + b2565 + b2615
       + b2681 + b2718 + b2872 + b2878 + b2891 + b2996 + b3008 + b3099 + b3132
       + b3200 + b3253 + b3255 + b3335 + b3366 + b3423 + b3467 + b3470 + b3487
       + b3551 + b3645 + b3657 + b3745 + b3828 + b3847 + b3884 + b3886 + b3913
       + b3923 + b3932 + b3962 + b4014 + b4065 + b4192 + b4214 + b4334 + b4352
       + b4355 + b4373 + b4378 + b4520 + b4534 + b4561 + b4568 + b4573 + b4627
       + b4654 + b4690 + b5014 + b5017 + b5028 + b5040 + b5055 + b5147 + b5231
       + b5293 + b5308 + b5342 + b5400 + b5424 + b5545 + b5565 + b5634 + b5688
       + b5821 + b5859 + b5996 + b6013 + b6027 + b6057 + b6064 + b6084 + b6130
       + b6177 + b6220 + b6222 + b6240 + b6324 + b6389 + b6433 + b6456 + b6466
       + b6593 + b6653 + b6720 + b6794 + b6795 + b6826 + b6828 + b6850 + b6863
       + b6877 + b6932 + b6949 + b6956 + b7008 + b7164 + b7237 + b7332 + b7394
       + b7458 + b7551 + b7573 + b7612 + b7765 + b7877 + b7884 + b7978 + b8127
       + b8323 + b8352 + b8472 + b8498 + b8559 + b8580 + b8595 + b8606 + b8683
       + b8709 + b8757 + b8850 + b8874 = 1;

e355:    b175 + b687 + b727 + b1247 + b1362 + b1434 + b1539 + b1750 + b1945
       + b2038 + b2371 + b2471 + b2479 + b2883 + b3023 + b3279 + b3470 + b3529
       + b3571 + b3711 + b3947 + b3982 + b4204 + b4248 + b4295 + b4341 + b4361
       + b4583 + b4700 + b4773 + b4965 + b4975 + b5050 + b5103 + b5355 + b5498
       + b5668 + b5688 + b6089 + b6098 + b6182 + b6679 + b6871 + b6897 + b6982
       + b7166 + b7365 + b7388 + b7390 + b7554 + b7676 + b7682 + b7733 + b7893
       + b7934 + b7971 + b8116 + b8189 + b8371 + b8389 + b8576 + b8688 + b8737
       + b8740 + b8781 + b8892 = 1;

e356:    b175 + b447 + b687 + b727 + b1247 + b1362 + b1434 + b1539 + b1750
       + b1945 + b2038 + b2190 + b2371 + b2471 + b2479 + b2883 + b3023 + b3279
       + b3470 + b3529 + b3571 + b3711 + b3947 + b3982 + b4204 + b4248 + b4276
       + b4295 + b4341 + b4361 + b4583 + b4700 + b4773 + b4965 + b4975 + b5050
       + b5103 + b5355 + b5498 + b5668 + b5688 + b5701 + b6089 + b6098 + b6182
       + b6679 + b6871 + b6897 + b6982 + b7166 + b7365 + b7388 + b7390 + b7554
       + b7676 + b7682 + b7733 + b7893 + b7934 + b7971 + b8116 + b8189 + b8371
       + b8389 + b8576 + b8636 + b8688 + b8737 + b8740 + b8781 + b8892 = 1;

e357:    b96 + b117 + b175 + b288 + b296 + b330 + b365 + b447 + b469 + b472
       + b491 + b525 + b621 + b656 + b657 + b687 + b717 + b727 + b728 + b813
       + b1008 + b1219 + b1283 + b1362 + b1364 + b1434 + b1539 + b1759 + b1945
       + b2190 + b2239 + b2371 + b2471 + b2514 + b2581 + b2585 + b2631 + b2710
       + b2740 + b2744 + b2822 + b2863 + b2883 + b3039 + b3189 + b3271 + b3276
       + b3279 + b3314 + b3379 + b3529 + b3534 + b3571 + b3711 + b3871 + b3940
       + b3947 + b4036 + b4061 + b4204 + b4216 + b4225 + b4248 + b4261 + b4270
       + b4276 + b4295 + b4327 + b4341 + b4700 + b4737 + b4756 + b4773 + b4780
       + b4815 + b4854 + b4881 + b4965 + b4975 + b5033 + b5050 + b5089 + b5095
       + b5106 + b5355 + b5372 + b5498 + b5580 + b5668 + b5688 + b5780 + b6089
       + b6098 + b6182 + b6297 + b6443 + b6542 + b6550 + b6620 + b6633 + b6679
       + b6696 + b6745 + b6834 + b6835 + b6843 + b6871 + b6897 + b6898 + b6982
       + b7228 + b7268 + b7350 + b7365 + b7388 + b7390 + b7554 + b7560 + b7587
       + b7682 + b7716 + b7717 + b7733 + b7893 + b7934 + b7940 + b7944 + b7990
       + b8105 + b8116 + b8189 + b8371 + b8387 + b8389 + b8457 + b8463 + b8576
       + b8608 + b8636 + b8653 + b8654 + b8737 + b8740 + b8781 + b8785 + b8892
       = 1;

e358:    b96 + b117 + b168 + b175 + b288 + b296 + b330 + b365 + b469 + b472
       + b491 + b525 + b621 + b657 + b687 + b727 + b728 + b813 + b1008 + b1219
       + b1283 + b1328 + b1362 + b1364 + b1434 + b1436 + b1539 + b1759 + b1945
       + b2239 + b2371 + b2404 + b2471 + b2514 + b2581 + b2585 + b2631 + b2710
       + b2740 + b2744 + b2822 + b2863 + b2883 + b3271 + b3276 + b3314 + b3345
       + b3379 + b3529 + b3534 + b3711 + b3940 + b3947 + b4036 + b4061 + b4204
       + b4216 + b4225 + b4248 + b4261 + b4270 + b4276 + b4295 + b4327 + b4341
       + b4582 + b4700 + b4737 + b4756 + b4773 + b4780 + b4815 + b4854 + b4881
       + b4965 + b4975 + b5033 + b5050 + b5089 + b5095 + b5106 + b5355 + b5372
       + b5580 + b5668 + b5688 + b5780 + b5913 + b6089 + b6098 + b6182 + b6297
       + b6405 + b6542 + b6550 + b6620 + b6679 + b6696 + b6745 + b6834 + b6835
       + b6843 + b6871 + b6897 + b6898 + b6982 + b7228 + b7268 + b7350 + b7365
       + b7388 + b7390 + b7554 + b7560 + b7682 + b7716 + b7717 + b7733 + b7893
       + b7940 + b7944 + b7990 + b8084 + b8105 + b8116 + b8180 + b8189 + b8361
       + b8371 + b8387 + b8389 + b8457 + b8576 + b8608 + b8653 + b8654 + b8737
       + b8740 + b8781 + b8785 + b8892 = 1;

e359:    b38 + b96 + b117 + b168 + b175 + b197 + b254 + b288 + b296 + b330
       + b365 + b384 + b469 + b472 + b485 + b491 + b525 + b621 + b650 + b656
       + b657 + b687 + b717 + b722 + b727 + b728 + b931 + b1008 + b1101 + b1219
       + b1283 + b1328 + b1381 + b1434 + b1436 + b1539 + b1759 + b1827 + b1945
       + b1950 + b2239 + b2275 + b2288 + b2319 + b2365 + b2398 + b2404 + b2585
       + b2631 + b2710 + b2737 + b2761 + b2767 + b2822 + b2863 + b2903 + b3039
       + b3105 + b3112 + b3130 + b3189 + b3263 + b3271 + b3276 + b3314 + b3345
       + b3379 + b3529 + b3534 + b3646 + b3711 + b3940 + b3947 + b3995 + b4036
       + b4061 + b4204 + b4216 + b4225 + b4248 + b4261 + b4270 + b4276 + b4295
       + b4327 + b4341 + b4403 + b4501 + b4582 + b4700 + b4737 + b4756 + b4773
       + b4780 + b4815 + b4854 + b4881 + b4906 + b5033 + b5089 + b5095 + b5106
       + b5141 + b5355 + b5372 + b5580 + b5647 + b5668 + b5688 + b5780 + b5871
       + b5913 + b5925 + b6089 + b6098 + b6297 + b6404 + b6405 + b6470 + b6497
       + b6542 + b6550 + b6620 + b6640 + b6696 + b6698 + b6746 + b6762 + b6782
       + b6830 + b6831 + b6834 + b6835 + b6843 + b6871 + b6898 + b6982 + b7146
       + b7150 + b7171 + b7228 + b7252 + b7365 + b7390 + b7435 + b7445 + b7554
       + b7560 + b7716 + b7717 + b7733 + b7817 + b7858 + b7893 + b7935 + b7940
       + b7944 + b8062 + b8084 + b8105 + b8180 + b8181 + b8189 + b8237 + b8361
       + b8457 + b8463 + b8601 + b8608 + b8653 + b8654 + b8737 + b8740 + b8781
       + b8785 = 1;

e360:    b50 + b321 + b606 + b621 + b654 + b1004 + b1127 + b1236 + b1333
       + b1439 + b1463 + b1787 + b2149 + b2168 + b2725 + b2936 + b3480 + b3701
       + b3758 + b3767 + b4014 + b4066 + b4296 + b4442 + b4528 + b4636 + b4988
       + b5106 + b5124 + b5372 + b5598 + b5880 + b6459 + b7149 + b7214 + b7584
       + b7634 + b7864 + b8128 + b8426 + b8733 + b8777 = 1;

e361:    b50 + b321 + b606 + b621 + b654 + b1127 + b1227 + b1236 + b1333
       + b1439 + b1463 + b1477 + b1526 + b1787 + b1961 + b2149 + b2168 + b2725
       + b2771 + b2936 + b3480 + b3701 + b3758 + b3767 + b4014 + b4066 + b4200
       + b4296 + b4442 + b4528 + b4636 + b4988 + b5106 + b5124 + b5354 + b5372
       + b5598 + b5880 + b6400 + b6459 + b7149 + b7214 + b7220 + b7584 + b7864
       + b7888 + b8128 + b8426 + b8733 + b8777 = 1;

e362:    b321 + b361 + b487 + b1047 + b1128 + b1236 + b1463 + b1477 + b1508
       + b1585 + b1643 + b1733 + b1787 + b1827 + b2936 + b3307 + b3701 + b3767
       + b3818 + b3837 + b4014 + b4094 + b4296 + b4528 + b4636 + b4830 + b5294
       + b5464 + b6015 + b6400 + b6459 + b6783 + b7584 + b7676 + b7864 + b7971
       + b8128 + b8198 + b8224 + b8426 + b8579 + b8615 + b8853 = 1;

e363:    b223 + b321 + b541 + b547 + b792 + b1236 + b1477 + b1733 + b1787
       + b1827 + b1925 + b3026 + b3307 + b3679 + b3701 + b3761 + b3767 + b4014
       + b4636 + b5147 + b5485 + b6400 + b6459 + b7486 + b7532 + b7676 + b7971
       + b8012 + b8198 + b8202 + b8716 = 1;

e364:    b223 + b321 + b1024 + b1058 + b1346 + b1787 + b1827 + b1961 + b2452
       + b2773 + b3183 + b3307 + b3311 + b3679 + b4283 + b4304 + b4627 + b4636
       + b4785 + b5485 + b5852 + b6400 + b6459 + b6817 + b6915 + b7225 + b7338
       + b7486 + b7676 + b7687 + b7839 + b7971 + b7974 + b8085 + b8198 + b8202
       + b8716 = 1;

e365:    b223 + b321 + b1024 + b1058 + b1346 + b1787 + b1827 + b1961 + b2355
       + b2452 + b2773 + b3183 + b3307 + b3311 + b3679 + b4283 + b4304 + b4520
       + b4568 + b4627 + b4636 + b4785 + b5485 + b5542 + b5852 + b6400 + b6459
       + b6817 + b6915 + b7225 + b7338 + b7486 + b7676 + b7687 + b7839 + b7971
       + b7974 + b8085 + b8198 + b8202 + b8716 = 1;

e366:    b223 + b321 + b541 + b547 + b1024 + b1058 + b1237 + b1346 + b1787
       + b1827 + b1953 + b1961 + b2107 + b2305 + b2316 + b2328 + b2339 + b2355
       + b2452 + b2658 + b2773 + b3183 + b3307 + b3311 + b3394 + b3446 + b3679
       + b3761 + b4094 + b4108 + b4192 + b4200 + b4229 + b4283 + b4515 + b4520
       + b4627 + b4636 + b4785 + b5100 + b5101 + b5297 + b5485 + b5631 + b5725
       + b5852 + b6392 + b6400 + b6459 + b6783 + b6817 + b6881 + b6915 + b6941
       + b7225 + b7338 + b7486 + b7532 + b7543 + b7614 + b7676 + b7687 + b7750
       + b7872 + b7906 + b7971 + b7974 + b8020 + b8085 + b8198 + b8202 + b8245
       + b8586 + b8673 + b8716 = 1;

e367:    b223 + b321 + b541 + b547 + b1024 + b1058 + b1237 + b1346 + b1787
       + b1827 + b1953 + b1961 + b2107 + b2305 + b2316 + b2328 + b2339 + b2355
       + b2452 + b2525 + b2658 + b2773 + b3183 + b3307 + b3311 + b3394 + b3446
       + b3679 + b3761 + b4094 + b4108 + b4192 + b4200 + b4229 + b4283 + b4515
       + b4520 + b4627 + b4636 + b4785 + b5100 + b5101 + b5297 + b5485 + b5631
       + b5725 + b5852 + b6392 + b6400 + b6459 + b6783 + b6817 + b6881 + b6915
       + b6941 + b7225 + b7338 + b7486 + b7532 + b7543 + b7614 + b7676 + b7687
       + b7750 + b7872 + b7906 + b7971 + b7974 + b8020 + b8085 + b8198 + b8202
       + b8245 + b8586 + b8673 + b8716 = 1;

e368:    b134 + b471 + b472 + b487 + b525 + b597 + b640 + b641 + b723 + b1118
       + b1277 + b1278 + b1508 + b1542 + b1828 + b1970 + b2568 + b2744 + b2759
       + b2852 + b3632 + b3810 + b3818 + b4094 + b4353 + b4554 + b4586 + b4715
       + b4830 + b4961 + b4978 + b5161 + b5546 + b5682 + b5832 + b6288 + b6489
       + b6574 + b6783 + b6824 + b6882 + b7361 + b7364 + b7426 + b8107 + b8124
       + b8198 + b8252 + b8265 + b8461 + b8512 + b8533 + b8536 + b8615 = 1;

e369:    b134 + b471 + b472 + b487 + b525 + b597 + b640 + b641 + b723 + b1118
       + b1277 + b1278 + b1508 + b1542 + b1828 + b1970 + b2568 + b2744 + b2759
       + b2852 + b3352 + b3632 + b3810 + b3818 + b4094 + b4353 + b4554 + b4586
       + b4715 + b4830 + b4961 + b4978 + b5161 + b5546 + b5682 + b5832 + b6288
       + b6489 + b6574 + b6783 + b6824 + b6882 + b7361 + b7364 + b7426 + b8107
       + b8124 + b8198 + b8252 + b8265 + b8461 + b8512 + b8533 + b8536 + b8615
       = 1;

e370:    b50 + b134 + b251 + b254 + b355 + b471 + b640 + b641 + b723 + b1110
       + b1187 + b1277 + b1278 + b1542 + b1828 + b2119 + b2179 + b2725 + b2793
       + b3808 + b3810 + b4122 + b4353 + b4554 + b4694 + b4715 + b4978 + b4988
       + b5161 + b5546 + b5647 + b5682 + b5832 + b6288 + b6489 + b6574 + b6629
       + b6824 + b6854 + b6882 + b7149 + b7166 + b7364 + b7426 + b7954 + b8107
       + b8124 + b8135 + b8252 + b8265 + b8512 + b8524 + b8533 + b8536 = 1;

e371:    b50 + b134 + b251 + b254 + b355 + b471 + b640 + b641 + b723 + b1110
       + b1187 + b1277 + b1278 + b1542 + b1828 + b2725 + b2793 + b2813 + b3808
       + b3810 + b4122 + b4219 + b4554 + b4694 + b4715 + b4735 + b4978 + b4988
       + b5035 + b5161 + b5546 + b5647 + b5682 + b5832 + b5846 + b6288 + b6489
       + b6574 + b6629 + b6824 + b6853 + b6854 + b6882 + b6908 + b7149 + b7166
       + b7364 + b7426 + b7954 + b8107 + b8124 + b8135 + b8252 + b8265 + b8512
       + b8524 + b8533 + b8536 = 1;

e372:    b50 + b68 + b134 + b143 + b204 + b254 + b446 + b471 + b488 + b612
       + b696 + b912 + b1110 + b1140 + b1187 + b1277 + b1278 + b1284 + b1324
       + b1391 + b1966 + b2005 + b2524 + b2530 + b2714 + b2813 + b2921 + b3325
       + b3349 + b3401 + b3838 + b4233 + b4280 + b4282 + b4360 + b4546 + b4693
       + b4694 + b4715 + b4735 + b4895 + b4911 + b5002 + b5024 + b5122 + b5161
       + b5180 + b5550 + b5569 + b5647 + b5846 + b6062 + b6080 + b6489 + b6503
       + b6599 + b6824 + b6853 + b6936 + b7166 + b7261 + b7275 + b7320 + b7364
       + b7430 + b7519 + b8107 + b8120 + b8252 + b8265 + b8438 + b8506 + b8524
       + b8536 + b8642 + b8759 = 1;

e373:    b50 + b65 + b68 + b93 + b134 + b144 + b254 + b303 + b383 + b406 + b420
       + b446 + b471 + b488 + b628 + b771 + b912 + b1110 + b1187 + b1224
       + b1277 + b1278 + b1284 + b1322 + b1324 + b1352 + b1391 + b1415 + b1716
       + b1896 + b1966 + b2005 + b2074 + b2229 + b2306 + b2348 + b2361 + b2372
       + b2428 + b2524 + b2530 + b2586 + b2630 + b2668 + b2714 + b2813 + b2902
       + b2921 + b2979 + b3285 + b3325 + b3401 + b3455 + b3516 + b3838 + b3987
       + b4233 + b4280 + b4282 + b4546 + b4634 + b4693 + b4694 + b4715 + b4735
       + b4798 + b4823 + b4895 + b4911 + b5002 + b5172 + b5490 + b5514 + b5647
       + b5795 + b5803 + b5869 + b6062 + b6187 + b6229 + b6235 + b6309 + b6353
       + b6412 + b6424 + b6489 + b6490 + b6503 + b6599 + b6759 + b6784 + b6824
       + b6839 + b6853 + b6936 + b7039 + b7155 + b7166 + b7203 + b7261 + b7299
       + b7345 + b7395 + b7403 + b8018 + b8058 + b8078 + b8107 + b8109 + b8120
       + b8265 + b8362 + b8438 + b8506 + b8543 + b8568 + b8642 + b8697 = 1;

e374:    b50 + b68 + b126 + b134 + b254 + b446 + b640 + b651 + b689 + b896
       + b1010 + b1153 + b1187 + b1278 + b1284 + b1324 + b1433 + b1449 + b1528
       + b1542 + b1635 + b1697 + b1716 + b1828 + b1879 + b1966 + b1978 + b2074
       + b2307 + b2459 + b2561 + b2617 + b2630 + b2714 + b2813 + b2921 + b3259
       + b3401 + b3680 + b3684 + b3803 + b3857 + b3880 + b4138 + b4219 + b4233
       + b4254 + b4280 + b4369 + b4469 + b4489 + b4546 + b4617 + b4735 + b4798
       + b5007 + b5035 + b5078 + b5377 + b5452 + b5518 + b5647 + b5831 + b5832
       + b5869 + b5945 + b6184 + b6229 + b6265 + b6353 + b6489 + b6503 + b6523
       + b6574 + b6744 + b6824 + b6853 + b6908 + b7022 + b7037 + b7039 + b7044
       + b7136 + b7166 + b7261 + b7302 + b7426 + b7899 + b8018 + b8087 + b8107
       + b8124 + b8235 + b8265 + b8379 + b8568 + b8642 + b8695 + b8763 = 1;

e375:    b50 + b68 + b126 + b134 + b254 + b446 + b640 + b651 + b689 + b896
       + b1010 + b1153 + b1187 + b1284 + b1324 + b1433 + b1449 + b1542 + b1635
       + b1697 + b1716 + b1828 + b1966 + b1978 + b2074 + b2307 + b2561 + b2630
       + b2729 + b2813 + b2921 + b3259 + b3401 + b3680 + b3684 + b3803 + b3857
       + b3880 + b4138 + b4219 + b4233 + b4254 + b4369 + b4469 + b4489 + b4546
       + b4617 + b4735 + b4798 + b5007 + b5035 + b5078 + b5377 + b5452 + b5647
       + b5831 + b5832 + b5869 + b5945 + b6184 + b6229 + b6353 + b6503 + b6523
       + b6574 + b6744 + b6824 + b6853 + b6908 + b7022 + b7039 + b7044 + b7136
       + b7166 + b7261 + b7302 + b7426 + b7899 + b8018 + b8087 + b8107 + b8124
       + b8235 + b8265 + b8379 + b8568 + b8642 + b8695 + b8763 = 1;

e376:    b50 + b68 + b126 + b134 + b146 + b156 + b211 + b254 + b284 + b302
       + b395 + b640 + b651 + b689 + b896 + b984 + b1010 + b1049 + b1153
       + b1187 + b1278 + b1284 + b1324 + b1403 + b1433 + b1449 + b1635 + b1697
       + b1716 + b1828 + b1966 + b1978 + b2005 + b2040 + b2074 + b2229 + b2459
       + b2530 + b2561 + b2617 + b2630 + b2724 + b2729 + b2813 + b2921 + b3009
       + b3094 + b3401 + b3680 + b3684 + b3803 + b3851 + b3857 + b3880 + b3883
       + b3991 + b4138 + b4154 + b4219 + b4233 + b4254 + b4369 + b4469 + b4489
       + b4503 + b4546 + b4612 + b4617 + b4735 + b4798 + b4964 + b5007 + b5035
       + b5078 + b5248 + b5377 + b5452 + b5647 + b5831 + b5832 + b5869 + b5945
       + b6069 + b6184 + b6229 + b6353 + b6489 + b6503 + b6523 + b6574 + b6686
       + b6744 + b6793 + b6824 + b6836 + b6853 + b6891 + b6908 + b7005 + b7007
       + b7022 + b7039 + b7044 + b7136 + b7166 + b7261 + b7302 + b7426 + b7440
       + b7499 + b7535 + b7661 + b7899 + b8018 + b8087 + b8235 + b8265 + b8379
       + b8525 + b8568 + b8596 + b8616 + b8642 + b8695 + b8758 + b8763 = 1;

e377:    b8 + b50 + b126 + b134 + b146 + b174 + b203 + b251 + b354 + b355
       + b362 + b391 + b394 + b395 + b471 + b494 + b533 + b589 + b640 + b641
       + b800 + b856 + b926 + b961 + b984 + b1042 + b1049 + b1050 + b1118
       + b1178 + b1187 + b1221 + b1232 + b1278 + b1313 + b1321 + b1322 + b1508
       + b1541 + b1604 + b1614 + b1716 + b1821 + b1828 + b1909 + b1926 + b1943
       + b2021 + b2088 + b2306 + b2373 + b2459 + b2486 + b2498 + b2539 + b2598
       + b2616 + b2712 + b2725 + b2729 + b2741 + b2744 + b2759 + b2813 + b3161
       + b3184 + b3378 + b3400 + b3550 + b3567 + b3616 + b3635 + b3639 + b3641
       + b3857 + b3883 + b3987 + b3991 + b4086 + b4094 + b4095 + b4133 + b4138
       + b4154 + b4156 + b4179 + b4182 + b4234 + b4235 + b4249 + b4290 + b4332
       + b4369 + b4462 + b4469 + b4502 + b4528 + b4552 + b4617 + b4664 + b4715
       + b4751 + b4798 + b4831 + b4912 + b4961 + b4975 + b4978 + b4988 + b5035
       + b5078 + b5115 + b5121 + b5130 + b5241 + b5352 + b5452 + b5464 + b5537
       + b5546 + b5626 + b5627 + b5636 + b5706 + b5733 + b5744 + b5809 + b5811
       + b5832 + b5945 + b6077 + b6187 + b6229 + b6236 + b6279 + b6342 + b6344
       + b6352 + b6353 + b6358 + b6382 + b6574 + b6580 + b6629 + b6639 + b6723
       + b6744 + b6784 + b6793 + b6824 + b6867 + b6882 + b6919 + b7022 + b7039
       + b7142 + b7158 + b7166 + b7172 + b7302 + b7324 + b7426 + b7479 + b7567
       + b7588 + b7630 + b7645 + b7656 + b7661 + b7752 + b7753 + b7794 + b7899
       + b7903 + b7938 + b7941 + b8018 + b8106 + b8109 + b8482 + b8521 + b8525
       + b8586 + b8596 + b8600 + b8626 + b8630 + b8644 + b8679 + b8695 + b8754
       + b8758 + b8853 + b8858 + b8902 = 1;

e378:    b100 + b276 + b601 + b686 + b805 + b930 + b1325 + b1794 + b2061
       + b2484 + b3200 + b3339 + b4026 + b4057 + b4212 + b4318 + b4594 + b4733
       + b5130 + b5241 + b5354 + b5457 + b6100 + b6558 + b6750 + b6782 + b7182
       + b7401 + b7410 + b7581 + b7617 + b7774 + b8427 + b8775 + b8877 = 1;

e379:    b276 + b588 + b601 + b1185 + b1228 + b1325 + b2209 + b2484 + b2872
       + b3339 + b3473 + b3621 + b4057 + b4318 + b4417 + b4594 + b5025 + b5354
       + b5457 + b5763 + b6541 + b6558 + b6569 + b6665 + b6782 + b7292 + b7401
       + b7774 + b7830 + b7924 + b7953 + b8427 + b8775 + b8803 + b8854 + b8866
       + b8877 = 1;

e380:    b276 + b378 + b588 + b601 + b1185 + b1325 + b1631 + b1924 + b2209
       + b2484 + b2518 + b2872 + b3167 + b3339 + b4594 + b5287 + b5457 + b6345
       + b6522 + b6782 + b7258 + b7830 + b7924 + b8427 + b8515 + b8877 = 1;

e381:    b96 + b276 + b378 + b525 + b588 + b601 + b939 + b1185 + b1325 + b1392
       + b1513 + b1568 + b1631 + b1924 + b2200 + b2209 + b2484 + b2518 + b2737
       + b2767 + b2839 + b2872 + b3167 + b3185 + b3193 + b3339 + b3393 + b4021
       + b4037 + b4099 + b4117 + b4158 + b4531 + b4584 + b4594 + b5184 + b5287
       + b5290 + b5446 + b5457 + b5630 + b5789 + b6100 + b6164 + b6345 + b6521
       + b6522 + b6600 + b6750 + b6782 + b6890 + b7097 + b7129 + b7258 + b7460
       + b7510 + b7818 + b7830 + b7924 + b8029 + b8048 + b8133 + b8154 + b8342
       + b8397 + b8427 + b8505 + b8515 + b8595 + b8682 + b8700 + b8740 + b8775
       + b8819 + b8877 = 1;

e382:    b276 + b318 + b378 + b525 + b588 + b601 + b939 + b1004 + b1185 + b1325
       + b1392 + b1513 + b1631 + b1910 + b1924 + b2200 + b2209 + b2484 + b2518
       + b2545 + b2554 + b2839 + b2872 + b3167 + b3185 + b3193 + b3393 + b4021
       + b4037 + b4069 + b4099 + b4117 + b4158 + b4236 + b4318 + b4531 + b4584
       + b4594 + b5184 + b5290 + b5446 + b5630 + b5789 + b5897 + b6067 + b6100
       + b6164 + b6345 + b6521 + b6522 + b6750 + b6890 + b7097 + b7129 + b7258
       + b7634 + b7818 + b7830 + b7924 + b8029 + b8048 + b8154 + b8342 + b8397
       + b8427 + b8505 + b8514 + b8515 + b8595 + b8682 + b8700 + b8740 + b8775
       + b8819 + b8877 + b8889 = 1;

e383:    b178 + b260 + b276 + b283 + b318 + b369 + b378 + b413 + b449 + b525
       + b588 + b600 + b765 + b939 + b1004 + b1065 + b1077 + b1185 + b1281
       + b1323 + b1392 + b1513 + b1595 + b1656 + b1910 + b1984 + b2061 + b2085
       + b2200 + b2357 + b2382 + b2484 + b2545 + b2554 + b2555 + b2633 + b2780
       + b2806 + b2842 + b2855 + b2993 + b3053 + b3106 + b3108 + b3167 + b3185
       + b3193 + b3208 + b3301 + b3310 + b3368 + b3393 + b3793 + b3934 + b4021
       + b4026 + b4037 + b4069 + b4099 + b4117 + b4129 + b4158 + b4318 + b4531
       + b4584 + b4594 + b4608 + b4790 + b4866 + b4881 + b5029 + b5050 + b5164
       + b5184 + b5281 + b5290 + b5313 + b5424 + b5440 + b5630 + b5789 + b5897
       + b5902 + b5979 + b6017 + b6067 + b6100 + b6164 + b6302 + b6345 + b6398
       + b6558 + b6750 + b6814 + b6869 + b6903 + b7024 + b7097 + b7129 + b7246
       + b7258 + b7331 + b7351 + b7359 + b7401 + b7443 + b7525 + b7542 + b7581
       + b7634 + b7671 + b7708 + b7714 + b7798 + b7818 + b7904 + b7924 + b7927
       + b7930 + b8029 + b8048 + b8154 + b8244 + b8342 + b8397 + b8427 + b8505
       + b8514 + b8515 + b8672 + b8682 + b8700 + b8702 + b8735 + b8740 + b8775
       + b8819 + b8877 + b8889 = 1;

e384:    b183 + b306 + b369 + b378 + b469 + b534 + b995 + b1004 + b1065 + b1077
       + b1185 + b1392 + b1458 + b1497 + b1513 + b1539 + b1595 + b1641 + b1656
       + b2061 + b2200 + b2226 + b2357 + b2382 + b2484 + b2529 + b2545 + b2633
       + b2773 + b2780 + b2794 + b2842 + b2998 + b3208 + b3301 + b3393 + b3446
       + b3473 + b3711 + b3793 + b3934 + b4057 + b4117 + b4158 + b4318 + b4370
       + b4417 + b4531 + b4594 + b4620 + b4775 + b4779 + b4790 + b4866 + b4881
       + b4990 + b5028 + b5029 + b5184 + b5290 + b5424 + b5498 + b5789 + b5875
       + b5897 + b5959 + b5979 + b6078 + b6154 + b6164 + b6302 + b6345 + b6538
       + b6558 + b6569 + b6903 + b6978 + b6990 + b7024 + b7129 + b7219 + b7265
       + b7331 + b7351 + b7359 + b7401 + b7510 + b7708 + b7798 + b7830 + b7872
       + b7924 + b7927 + b7930 + b7967 + b8048 + b8133 + b8154 + b8342 + b8397
       + b8427 + b8432 + b8505 + b8514 + b8682 + b8735 + b8775 + b8819 + b8877
       + b8898 = 1;

e385:    b183 + b378 + b469 + b534 + b1004 + b1065 + b1077 + b1185 + b1392
       + b1458 + b1497 + b1513 + b1539 + b1641 + b2061 + b2200 + b2226 + b2357
       + b2382 + b2484 + b2529 + b2633 + b2773 + b2780 + b2842 + b2998 + b3208
       + b3393 + b3446 + b3473 + b3711 + b3793 + b3934 + b4057 + b4117 + b4158
       + b4318 + b4370 + b4417 + b4531 + b4594 + b4620 + b4866 + b4881 + b4990
       + b5028 + b5029 + b5184 + b5290 + b5424 + b5498 + b5789 + b5959 + b5979
       + b6154 + b6164 + b6302 + b6345 + b6558 + b6569 + b6903 + b6978 + b7024
       + b7129 + b7219 + b7265 + b7331 + b7351 + b7359 + b7401 + b7510 + b7708
       + b7798 + b7830 + b7872 + b7924 + b7927 + b8048 + b8133 + b8154 + b8342
       + b8397 + b8427 + b8432 + b8505 + b8682 + b8735 + b8775 + b8819 + b8877
       + b8898 = 1;

e386:    b136 + b183 + b378 + b422 + b469 + b470 + b534 + b537 + b907 + b939
       + b995 + b1004 + b1019 + b1042 + b1065 + b1185 + b1392 + b1434 + b1458
       + b1497 + b1513 + b1539 + b1614 + b1641 + b1793 + b1984 + b2061 + b2115
       + b2226 + b2283 + b2314 + b2357 + b2445 + b2529 + b2633 + b2773 + b2780
       + b2998 + b3178 + b3185 + b3208 + b3252 + b3312 + b3446 + b3473 + b3711
       + b3793 + b3934 + b4021 + b4057 + b4129 + b4158 + b4318 + b4370 + b4417
       + b4531 + b4584 + b4594 + b4620 + b4771 + b4866 + b4881 + b4990 + b5028
       + b5029 + b5184 + b5290 + b5424 + b5440 + b5474 + b5498 + b5789 + b5817
       + b5902 + b5959 + b5979 + b6095 + b6154 + b6164 + b6302 + b6345 + b6355
       + b6402 + b6558 + b6569 + b6613 + b6805 + b6903 + b6978 + b7024 + b7114
       + b7115 + b7129 + b7230 + b7258 + b7265 + b7331 + b7359 + b7401 + b7510
       + b7551 + b7625 + b7656 + b7726 + b7830 + b7872 + b7924 + b8048 + b8133
       + b8138 + b8303 + b8397 + b8427 + b8453 + b8505 + b8621 + b8735 + b8775
       + b8819 + b8877 + b8898 = 1;

e387:    b81 + b100 + b136 + b183 + b224 + b281 + b311 + b378 + b422 + b469
       + b470 + b534 + b537 + b713 + b886 + b907 + b930 + b939 + b995 + b1004
       + b1019 + b1042 + b1065 + b1246 + b1392 + b1434 + b1458 + b1497 + b1503
       + b1513 + b1534 + b1539 + b1552 + b1614 + b1631 + b1641 + b1793 + b1794
       + b1802 + b1832 + b1885 + b1992 + b2041 + b2061 + b2115 + b2226 + b2283
       + b2314 + b2357 + b2445 + b2529 + b2538 + b2633 + b2773 + b2998 + b3168
       + b3178 + b3185 + b3200 + b3208 + b3252 + b3312 + b3446 + b3473 + b3711
       + b3791 + b3807 + b3872 + b3897 + b3921 + b3934 + b4021 + b4057 + b4091
       + b4129 + b4158 + b4212 + b4318 + b4320 + b4370 + b4531 + b4584 + b4594
       + b4620 + b4733 + b4771 + b4866 + b4990 + b5028 + b5029 + b5130 + b5241
       + b5290 + b5379 + b5424 + b5440 + b5474 + b5498 + b5789 + b5817 + b5959
       + b6063 + b6095 + b6100 + b6154 + b6164 + b6165 + b6217 + b6221 + b6273
       + b6345 + b6355 + b6402 + b6569 + b6613 + b6750 + b6805 + b6903 + b7024
       + b7114 + b7129 + b7182 + b7223 + b7230 + b7265 + b7331 + b7401 + b7410
       + b7551 + b7581 + b7617 + b7625 + b7656 + b7726 + b7830 + b7872 + b7924
       + b8048 + b8133 + b8138 + b8181 + b8225 + b8249 + b8303 + b8397 + b8427
       + b8453 + b8487 + b8505 + b8621 + b8640 + b8775 + b8819 + b8877 + b8898
       = 1;

e388:    b133 + b190 + b228 + b544 + b702 + b934 + b953 + b1121 + b1243 + b1328
       + b1438 + b1925 + b2082 + b2198 + b2809 + b3191 + b3238 + b3267 + b3467
       + b3509 + b3555 + b3672 + b3679 + b3993 + b4145 + b4422 + b4569 + b4644
       + b5128 + b5147 + b5149 + b5190 + b5488 + b5574 + b5648 + b5678 + b5764
       + b6262 + b6929 + b6949 + b7097 + b7129 + b7220 + b7227 + b7285 + b7330
       + b7338 + b7766 + b7878 + b8012 + b8143 + b8357 + b8466 + b8542 + b8699
       + b8797 = 1;

e389:    b133 + b190 + b228 + b544 + b702 + b934 + b953 + b1121 + b1243 + b1328
       + b1438 + b1925 + b2082 + b2198 + b2809 + b3191 + b3238 + b3267 + b3467
       + b3509 + b3555 + b3672 + b3679 + b3993 + b4145 + b4283 + b4422 + b4569
       + b4644 + b5128 + b5147 + b5149 + b5190 + b5488 + b5574 + b5648 + b5678
       + b5764 + b6262 + b6929 + b6949 + b7097 + b7129 + b7220 + b7227 + b7285
       + b7330 + b7338 + b7543 + b7766 + b7878 + b8012 + b8143 + b8357 + b8466
       + b8542 + b8699 + b8797 = 1;

e390:    b133 + b190 + b223 + b228 + b470 + b541 + b547 + b630 + b702 + b735
       + b792 + b1121 + b1134 + b1155 + b1328 + b1655 + b1836 + b1925 + b2018
       + b2533 + b2809 + b2908 + b2964 + b3026 + b3264 + b3454 + b3467 + b3509
       + b3551 + b3622 + b3679 + b3728 + b3761 + b3993 + b4145 + b4304 + b4569
       + b4708 + b5128 + b5147 + b5485 + b5542 + b5565 + b5574 + b5648 + b5678
       + b6262 + b6310 + b6324 + b6346 + b6544 + b6707 + b6895 + b6927 + b6949
       + b6975 + b7046 + b7182 + b7227 + b7330 + b7394 + b7486 + b7532 + b7756
       + b7766 + b8012 + b8143 + b8202 + b8357 + b8419 + b8472 + b8479 + b8513
       + b8559 + b8716 = 1;

e391:    b133 + b190 + b228 + b470 + b630 + b702 + b1121 + b1134 + b1155
       + b1328 + b1463 + b1836 + b1878 + b2533 + b2809 + b2936 + b3264 + b3454
       + b3467 + b3509 + b3551 + b3622 + b3728 + b3993 + b4145 + b4304 + b4569
       + b4708 + b5128 + b5542 + b5565 + b5574 + b5648 + b5678 + b6262 + b6324
       + b6346 + b6544 + b6707 + b6895 + b6949 + b7046 + b7182 + b7227 + b7330
       + b7394 + b7584 + b7650 + b7756 + b7766 + b7864 + b8128 + b8143 + b8357
       + b8419 + b8426 + b8472 + b8513 + b8559 = 1;

e392:    b133 + b288 + b470 + b519 + b1121 + b1134 + b1155 + b1714 + b1728
       + b1775 + b1783 + b1788 + b1795 + b1878 + b2219 + b2607 + b3136 + b3413
       + b3454 + b3622 + b3973 + b3999 + b4008 + b4033 + b4250 + b4304 + b4463
       + b4468 + b4488 + b4805 + b5056 + b5143 + b5488 + b5565 + b5574 + b5678
       + b5836 + b5973 + b6132 + b6186 + b6324 + b6346 + b6443 + b6707 + b6949
       + b7182 + b7330 + b7388 + b7413 + b7650 + b7850 + b7864 + b8128 + b8366
       + b8420 + b8429 + b8472 + b8510 + b8857 = 1;

e393:    b133 + b288 + b470 + b519 + b1121 + b1134 + b1155 + b1788 + b1878
       + b3136 + b3413 + b3454 + b3622 + b4033 + b4250 + b4304 + b4468 + b4805
       + b5056 + b5143 + b5488 + b5565 + b5574 + b5678 + b5973 + b6132 + b6324
       + b6346 + b6443 + b6707 + b6949 + b7182 + b7330 + b7388 + b7650 + b7850
       + b7864 + b8128 + b8420 + b8472 + b8479 = 1;

e394:    b133 + b288 + b384 + b470 + b531 + b532 + b544 + b557 + b579 + b606
       + b630 + b654 + b669 + b792 + b836 + b871 + b934 + b941 + b948 + b981
       + b1134 + b1171 + b1279 + b1431 + b1519 + b1526 + b1740 + b1809 + b1883
       + b1961 + b1967 + b2018 + b2022 + b2198 + b2203 + b2347 + b2380 + b2581
       + b2583 + b2658 + b2761 + b2771 + b2779 + b2784 + b2790 + b2831 + b2883
       + b3067 + b3112 + b3192 + b3229 + b3271 + b3384 + b3394 + b3413 + b3445
       + b3485 + b3486 + b3495 + b3622 + b3664 + b3672 + b3685 + b3701 + b3708
       + b3728 + b3874 + b3927 + b4033 + b4054 + b4118 + b4175 + b4200 + b4248
       + b4250 + b4252 + b4275 + b4276 + b4281 + b4304 + b4361 + b4515 + b4574
       + b4623 + b4641 + b4644 + b4688 + b4745 + b4805 + b4828 + b4880 + b4906
       + b4992 + b5056 + b5103 + b5124 + b5136 + b5143 + b5292 + b5364 + b5373
       + b5431 + b5488 + b5489 + b5587 + b5621 + b5625 + b5648 + b5700 + b5754
       + b5764 + b5888 + b5973 + b6111 + b6224 + b6230 + b6234 + b6392 + b6406
       + b6442 + b6443 + b6707 + b6762 + b6782 + b6817 + b6837 + b6915 + b7051
       + b7117 + b7131 + b7150 + b7171 + b7182 + b7195 + b7202 + b7214 + b7220
       + b7285 + b7388 + b7516 + b7532 + b7554 + b7559 + b7650 + b7695 + b7737
       + b7791 + b7846 + b7847 + b7885 + b7888 + b7890 + b7989 + b8003 + b8012
       + b8128 + b8304 + b8318 + b8479 + b8535 + b8570 + b8617 + b8636 + b8652
       + b8690 + b8716 = 1;

e395:    b133 + b470 + b531 + b532 + b544 + b557 + b606 + b630 + b669 + b702
       + b792 + b836 + b934 + b941 + b948 + b1134 + b1171 + b1279 + b1431
       + b1526 + b1740 + b1806 + b1883 + b1961 + b1967 + b2018 + b2022 + b2198
       + b2203 + b2347 + b2380 + b2581 + b2583 + b2658 + b2761 + b2771 + b2779
       + b2784 + b2790 + b2831 + b2883 + b3067 + b3112 + b3192 + b3229 + b3384
       + b3394 + b3413 + b3445 + b3485 + b3486 + b3495 + b3622 + b3664 + b3672
       + b3685 + b3701 + b3708 + b3728 + b3769 + b3874 + b3927 + b4033 + b4054
       + b4067 + b4118 + b4175 + b4200 + b4248 + b4250 + b4252 + b4275 + b4276
       + b4281 + b4304 + b4361 + b4515 + b4574 + b4623 + b4641 + b4644 + b4688
       + b4805 + b4880 + b4906 + b4992 + b5056 + b5103 + b5124 + b5136 + b5364
       + b5373 + b5431 + b5488 + b5489 + b5587 + b5621 + b5625 + b5648 + b5700
       + b5754 + b5764 + b5888 + b6111 + b6230 + b6234 + b6311 + b6392 + b6406
       + b6442 + b6443 + b6707 + b6762 + b6782 + b6817 + b6915 + b7051 + b7117
       + b7131 + b7150 + b7171 + b7182 + b7195 + b7202 + b7214 + b7220 + b7227
       + b7285 + b7388 + b7532 + b7539 + b7554 + b7559 + b7650 + b7695 + b7737
       + b7791 + b7846 + b7847 + b7885 + b7888 + b7989 + b8003 + b8012 + b8128
       + b8134 + b8304 + b8318 + b8479 + b8570 + b8617 + b8636 + b8652 + b8690
       + b8716 + b8802 = 1;

e396:    b91 + b382 + b1187 + b1364 + b1968 + b2821 + b2833 + b3674 + b3870
       + b3876 + b4036 + b4122 + b4231 + b4438 + b4623 + b5917 + b5969 + b6106
       + b6146 + b6934 + b7205 + b7241 + b7267 + b7268 + b7298 + b8314 + b8399
       = 1;

e397:    b91 + b382 + b434 + b784 + b1187 + b1364 + b1602 + b1840 + b1895
       + b1968 + b2821 + b2833 + b3350 + b3674 + b3820 + b3836 + b3870 + b3876
       + b3912 + b4036 + b4101 + b4122 + b4231 + b4438 + b4623 + b4792 + b5743
       + b5917 + b5969 + b6079 + b6106 + b6146 + b6270 + b6285 + b6934 + b7028
       + b7205 + b7241 + b7267 + b7268 + b7298 + b7423 + b7778 + b7919 + b8261
       + b8314 + b8399 + b8497 = 1;

e398:    b15 + b26 + b31 + b38 + b91 + b168 + b197 + b272 + b301 + b382 + b434
       + b492 + b505 + b784 + b867 + b904 + b938 + b1044 + b1259 + b1260
       + b1294 + b1350 + b1411 + b1436 + b1468 + b1602 + b1638 + b1641 + b1750
       + b1840 + b1895 + b1934 + b1959 + b1968 + b1981 + b1996 + b2006 + b2025
       + b2063 + b2103 + b2228 + b2275 + b2288 + b2358 + b2376 + b2404 + b2491
       + b2495 + b2677 + b2754 + b2794 + b2821 + b2860 + b3105 + b3130 + b3240
       + b3288 + b3345 + b3350 + b3537 + b3642 + b3646 + b3820 + b3836 + b3870
       + b3876 + b3912 + b3930 + b3982 + b3995 + b4101 + b4231 + b4298 + b4311
       + b4338 + b4423 + b4428 + b4438 + b4495 + b4501 + b4503 + b4582 + b4691
       + b4792 + b4816 + b4832 + b4851 + b4856 + b5026 + b5037 + b5390 + b5422
       + b5552 + b5656 + b5663 + b5665 + b5743 + b5753 + b5781 + b5871 + b5899
       + b5907 + b5913 + b5917 + b5969 + b6079 + b6106 + b6144 + b6146 + b6203
       + b6270 + b6281 + b6285 + b6409 + b6420 + b6470 + b6646 + b6698 + b6746
       + b6755 + b6833 + b6885 + b6948 + b6968 + b7028 + b7055 + b7130 + b7205
       + b7241 + b7267 + b7298 + b7310 + b7423 + b7514 + b7642 + b7643 + b7691
       + b7778 + b7919 + b7949 + b7967 + b7977 + b7991 + b8002 + b8051 + b8062
       + b8084 + b8171 + b8180 + b8182 + b8261 + b8314 + b8361 + b8399 + b8461
       + b8462 + b8497 + b8648 + b8656 + b8896 = 1;

e399:    b78 + b102 + b686 + b805 + b864 + b1164 + b1177 + b1189 + b1638
       + b1750 + b1985 + b2025 + b2288 + b2391 + b2495 + b2655 + b2707 + b2860
       + b3870 + b4255 + b4307 + b4351 + b4428 + b4482 + b4851 + b5256 + b5276
       + b5321 + b5330 + b5552 + b5704 + b5729 + b5907 + b6144 + b6470 + b7115
       + b7194 + b7205 + b7267 + b7428 + b7655 + b7683 + b7919 + b7949 + b7977
       + b8084 + b8399 + b8461 + b8648 + b8810 = 1;

e400:    b78 + b102 + b686 + b805 + b1177 + b1638 + b1750 + b2025 + b2288
       + b2391 + b2495 + b2655 + b2707 + b2860 + b3870 + b4255 + b4307 + b4428
       + b4482 + b4851 + b5276 + b5321 + b5552 + b5704 + b5729 + b5907 + b6144
       + b6470 + b7115 + b7194 + b7205 + b7267 + b7655 + b7683 + b7919 + b7949
       + b7977 + b8084 + b8399 + b8461 + b8648 + b8810 = 1;

e401:    b78 + b102 + b686 + b805 + b1177 + b1638 + b1750 + b2025 + b2288
       + b2391 + b2495 + b2655 + b2707 + b2860 + b3870 + b4255 + b4307 + b4311
       + b4428 + b4482 + b4851 + b5276 + b5321 + b5552 + b5704 + b5729 + b5907
       + b5917 + b6144 + b6470 + b7115 + b7194 + b7205 + b7267 + b7655 + b7683
       + b7919 + b7949 + b7977 + b8084 + b8399 + b8461 + b8648 + b8810 = 1;

e402:    b78 + b90 + b91 + b382 + b435 + b686 + b805 + b853 + b1364 + b1523
       + b1550 + b1750 + b2110 + b2597 + b2707 + b2748 + b2809 + b3312 + b3674
       + b3876 + b3982 + b4034 + b4231 + b4243 + b4298 + b4503 + b4555 + b4556
       + b4851 + b5276 + b5907 + b5917 + b5943 + b6203 + b6885 + b7063 + b7115
       + b7181 + b7205 + b7763 + b8314 + b8389 + b8446 + b8461 + b8896 = 1;

e403:    b78 + b90 + b91 + b382 + b435 + b686 + b805 + b853 + b1364 + b1523
       + b1550 + b1750 + b2110 + b2597 + b2707 + b2748 + b2809 + b3312 + b3674
       + b3876 + b3982 + b4034 + b4231 + b4298 + b4503 + b4555 + b4556 + b4851
       + b5276 + b5907 + b5917 + b5943 + b6203 + b6581 + b6885 + b7063 + b7115
       + b7181 + b7205 + b7763 + b7945 + b8314 + b8389 + b8446 + b8461 + b8896
       = 1;

e404:    b202 + b599 + b1073 + b1458 + b1975 + b2232 + b2291 + b2382 + b2697
       + b2765 + b2803 + b3468 + b3530 + b3928 + b4117 + b4426 + b4835 + b5418
       + b5658 + b5791 + b5992 + b6154 + b6641 + b6880 + b6910 + b7359 + b7561
       + b7607 + b7638 + b7927 + b7965 + b8030 + b8212 + b8342 + b8432 + b8847
       = 1;

e405:    b202 + b1458 + b2291 + b2382 + b2765 + b2803 + b3468 + b3928 + b4117
       + b4426 + b4835 + b5791 + b5992 + b6154 + b6641 + b6880 + b6910 + b7359
       + b7561 + b7607 + b7638 + b7927 + b7965 + b8342 + b8432 + b8847 = 1;

e406:    b202 + b1458 + b2291 + b2382 + b2765 + b2803 + b3468 + b3928 + b4117
       + b4426 + b4835 + b5791 + b5992 + b6154 + b6641 + b6880 + b6910 + b7359
       + b7561 + b7607 + b7638 + b7927 + b7965 + b8342 + b8432 + b8847 = 1;

e407:    b202 + b1073 + b1458 + b1975 + b2232 + b2291 + b2337 + b2344 + b2382
       + b2429 + b2765 + b2803 + b3468 + b3530 + b3599 + b3928 + b4117 + b4426
       + b4553 + b4835 + b5418 + b5658 + b5791 + b5992 + b6154 + b6447 + b6641
       + b6741 + b6880 + b6910 + b7359 + b7561 + b7607 + b7638 + b7927 + b7965
       + b8030 + b8212 + b8342 + b8432 + b8847 = 1;

e408:    b71 + b314 + b532 + b994 + b1073 + b1951 + b1967 + b1975 + b2291
       + b2765 + b2778 + b2804 + b2946 + b3251 + b4281 + b4426 + b4523 + b4835
       + b5101 + b5658 + b5754 + b6172 + b6406 + b6464 + b6641 + b7264 + b7858
       + b8364 + b8690 = 1;

e409:    b71 + b314 + b532 + b994 + b1073 + b1951 + b1975 + b2765 + b2776
       + b3251 + b3530 + b4426 + b4523 + b4835 + b5658 + b6172 + b6406 + b6464
       + b7264 + b8364 + b8690 = 1;

e410:    b71 + b314 + b532 + b994 + b1073 + b1951 + b1975 + b2765 + b2776
       + b3251 + b3530 + b4426 + b4523 + b4835 + b5658 + b6172 + b6406 + b6464
       + b7264 + b8364 + b8690 = 1;

e411:    b71 + b314 + b532 + b994 + b1073 + b1951 + b1967 + b1975 + b2291
       + b2765 + b2776 + b2803 + b2804 + b2946 + b3251 + b3496 + b3530 + b4426
       + b4523 + b4835 + b5101 + b5658 + b6172 + b6406 + b6464 + b6641 + b7264
       + b8364 + b8690 = 1;

e412:    b29 + b113 + b142 + b164 + b182 + b259 + b418 + b422 + b429 + b449
       + b463 + b527 + b567 + b716 + b970 + b998 + b1009 + b1053 + b1175
       + b1310 + b1402 + b1410 + b1486 + b1506 + b1522 + b1779 + b1901 + b1903
       + b1912 + b2029 + b2075 + b2086 + b2105 + b2128 + b2229 + b2255 + b2349
       + b2425 + b2432 + b2435 + b2450 + b2627 + b2633 + b2655 + b2696 + b2707
       + b2724 + b2807 + b3108 + b3212 + b3747 + b3832 + b3933 + b3991 + b4141
       + b4150 + b4256 + b4339 + b4368 + b4394 + b4411 + b4679 + b4712 + b4725
       + b4842 + b4914 + b4970 + b4993 + b5238 + b5423 + b5470 + b5480 + b5666
       + b5672 + b5729 + b5777 + b5864 + b5904 + b5932 + b5942 + b5961 + b6069
       + b6246 + b6303 + b6323 + b6326 + b6421 + b6456 + b6585 + b6644 + b6656
       + b6660 + b6686 + b6823 + b6874 + b6881 + b6924 + b6964 + b6973 + b6974
       + b7114 + b7180 + b7185 + b7199 + b7215 + b7239 + b7240 + b7614 + b7669
       + b7732 + b7749 + b7917 + b7927 + b8019 + b8154 + b8195 + b8325 + b8503
       + b8589 + b8683 + b8698 + b8748 + b8841 + b8873 = 1;

e413:    b86 + b113 + b142 + b182 + b215 + b259 + b422 + b429 + b463 + b567
       + b686 + b716 + b951 + b998 + b1009 + b1053 + b1175 + b1310 + b1402
       + b1410 + b1454 + b1486 + b1506 + b1522 + b1551 + b1779 + b1901 + b1912
       + b1989 + b2029 + b2086 + b2229 + b2255 + b2312 + b2349 + b2394 + b2425
       + b2435 + b2450 + b2627 + b2655 + b2696 + b2707 + b2724 + b3381 + b3732
       + b3747 + b3933 + b3991 + b4141 + b4150 + b4236 + b4256 + b4317 + b4339
       + b4368 + b4394 + b4712 + b4725 + b4896 + b4898 + b4914 + b4970 + b4993
       + b5238 + b5362 + b5436 + b5470 + b5480 + b5666 + b5672 + b5729 + b5864
       + b5904 + b5932 + b5942 + b6069 + b6246 + b6303 + b6323 + b6326 + b6373
       + b6421 + b6446 + b6585 + b6644 + b6660 + b6686 + b6773 + b6823 + b6874
       + b6924 + b6964 + b6974 + b7114 + b7115 + b7180 + b7185 + b7199 + b7239
       + b7669 + b7705 + b7917 + b8019 + b8195 + b8321 + b8325 + b8503 + b8522
       + b8589 + b8639 + b8698 + b8748 + b8873 = 1;

e414:    b307 + b392 + b402 + b463 + b614 + b627 + b937 + b1009 + b1175 + b1817
       + b2068 + b2128 + b2299 + b2387 + b2435 + b3280 + b3381 + b3619 + b3737
       + b3832 + b3933 + b3998 + b4016 + b4029 + b4162 + b4309 + b4413 + b4585
       + b4749 + b4856 + b4896 + b4914 + b5316 + b5395 + b5782 + b6246 + b6437
       + b6533 + b6684 + b6690 + b6708 + b6805 + b6823 + b6967 + b7027 + b7114
       + b7180 + b7499 + b7648 + b7804 + b8097 + b8122 + b8175 + b8325 + b8336
       + b8571 + b8662 = 1;

e415:    b307 + b392 + b402 + b463 + b614 + b627 + b937 + b1009 + b1175 + b1402
       + b1551 + b1817 + b2068 + b2128 + b2299 + b2435 + b2885 + b3280 + b3381
       + b3619 + b3732 + b3737 + b3832 + b3930 + b3933 + b3998 + b4016 + b4030
       + b4162 + b4256 + b4309 + b4339 + b4413 + b4585 + b4749 + b4856 + b4896
       + b4914 + b5316 + b5395 + b6071 + b6146 + b6246 + b6303 + b6437 + b6533
       + b6684 + b6805 + b6823 + b6967 + b7027 + b7114 + b7180 + b7499 + b7648
       + b7804 + b8044 + b8097 + b8122 + b8175 + b8325 + b8336 + b8571 + b8662
       + b8756 = 1;

e416:    b142 + b257 + b307 + b392 + b446 + b463 + b614 + b627 + b937 + b998
       + b1009 + b1175 + b1494 + b1623 + b1817 + b1819 + b2068 + b2299 + b2425
       + b2435 + b3259 + b3381 + b3619 + b3759 + b3832 + b3930 + b3933 + b3980
       + b3998 + b4016 + b4030 + b4135 + b4162 + b4256 + b4340 + b4413 + b4749
       + b4856 + b4896 + b5096 + b5227 + b5283 + b5316 + b5361 + b5395 + b5480
       + b5930 + b6146 + b6246 + b6286 + b6303 + b6315 + b6374 + b6375 + b6437
       + b6533 + b6823 + b6926 + b6967 + b7027 + b7180 + b7648 + b8113 + b8122
       + b8175 + b8325 + b8336 + b8571 + b8662 + b8756 = 1;

e417:    b142 + b257 + b307 + b392 + b463 + b614 + b850 + b937 + b998 + b1009
       + b1175 + b1494 + b1623 + b1817 + b1902 + b1921 + b2299 + b2425 + b3259
       + b3337 + b3381 + b3619 + b3759 + b3930 + b3933 + b3980 + b3998 + b4016
       + b4030 + b4113 + b4135 + b4139 + b4162 + b4256 + b4749 + b4856 + b4896
       + b5227 + b5283 + b5316 + b5361 + b5395 + b5480 + b5564 + b5930 + b6146
       + b6246 + b6303 + b6315 + b6374 + b6375 + b6452 + b6533 + b6823 + b6926
       + b6967 + b7027 + b7122 + b7168 + b7180 + b7648 + b7748 + b8113 + b8122
       + b8175 + b8336 + b8571 + b8657 + b8662 + b8756 + b8767 = 1;

e418:    b92 + b142 + b222 + b257 + b307 + b392 + b614 + b839 + b937 + b985
       + b998 + b1127 + b1259 + b1273 + b1274 + b1310 + b1363 + b1486 + b1494
       + b1623 + b1817 + b1902 + b1917 + b1921 + b1969 + b1989 + b2029 + b2052
       + b2125 + b2218 + b2312 + b2425 + b2450 + b2521 + b2922 + b3176 + b3190
       + b3197 + b3240 + b3259 + b3337 + b3360 + b3367 + b3370 + b3629 + b3759
       + b3858 + b3885 + b3930 + b3980 + b4016 + b4030 + b4113 + b4135 + b4139
       + b4256 + b4269 + b4420 + b4422 + b4471 + b4522 + b4687 + b4712 + b4749
       + b4856 + b4896 + b4922 + b5283 + b5316 + b5361 + b5395 + b5416 + b5480
       + b5518 + b5663 + b5745 + b5817 + b5864 + b5930 + b6146 + b6303 + b6315
       + b6374 + b6375 + b6408 + b6469 + b6481 + b6485 + b6533 + b6564 + b6736
       + b6773 + b6812 + b6823 + b6874 + b6920 + b6926 + b6959 + b6967 + b7027
       + b7180 + b7278 + b7410 + b7487 + b7639 + b7643 + b7648 + b7669 + b7748
       + b7777 + b7784 + b7795 + b7812 + b7827 + b7998 + b8113 + b8122 + b8175
       + b8278 + b8336 + b8447 + b8571 + b8639 + b8657 + b8662 + b8699 + b8710
       + b8756 + b8767 + b8783 + b8820 = 1;

e419:    b92 + b142 + b222 + b257 + b307 + b392 + b614 + b839 + b937 + b985
       + b998 + b1127 + b1259 + b1273 + b1274 + b1310 + b1363 + b1486 + b1494
       + b1623 + b1817 + b1902 + b1917 + b1921 + b1969 + b1989 + b2029 + b2052
       + b2125 + b2218 + b2312 + b2425 + b2450 + b2521 + b2922 + b3176 + b3190
       + b3197 + b3240 + b3259 + b3337 + b3360 + b3367 + b3370 + b3568 + b3629
       + b3759 + b3858 + b3885 + b3930 + b3980 + b4016 + b4030 + b4113 + b4135
       + b4139 + b4256 + b4269 + b4420 + b4422 + b4471 + b4522 + b4687 + b4712
       + b4749 + b4856 + b4896 + b4922 + b5283 + b5316 + b5361 + b5395 + b5416
       + b5480 + b5518 + b5663 + b5745 + b5817 + b5864 + b5930 + b6146 + b6303
       + b6315 + b6374 + b6375 + b6408 + b6469 + b6481 + b6485 + b6533 + b6564
       + b6736 + b6773 + b6812 + b6823 + b6874 + b6920 + b6926 + b6959 + b6967
       + b7027 + b7180 + b7278 + b7410 + b7487 + b7639 + b7643 + b7648 + b7669
       + b7748 + b7777 + b7784 + b7795 + b7812 + b7827 + b7998 + b8113 + b8122
       + b8175 + b8278 + b8336 + b8447 + b8571 + b8639 + b8657 + b8662 + b8699
       + b8710 + b8756 + b8767 + b8783 + b8820 = 1;

e420:    b6 + b24 + b86 + b92 + b142 + b182 + b297 + b421 + b463 + b481 + b809
       + b937 + b969 + b985 + b998 + b1009 + b1127 + b1175 + b1176 + b1241
       + b1259 + b1273 + b1274 + b1310 + b1410 + b1494 + b1623 + b1817 + b1902
       + b1916 + b1917 + b1921 + b2029 + b2218 + b2249 + b2299 + b2312 + b2349
       + b2394 + b2425 + b2450 + b2723 + b2736 + b2922 + b3116 + b3190 + b3213
       + b3226 + b3228 + b3240 + b3259 + b3334 + b3337 + b3898 + b3930 + b3933
       + b3980 + b4066 + b4113 + b4127 + b4135 + b4139 + b4142 + b4162 + b4256
       + b4266 + b4269 + b4289 + b4368 + b4420 + b4422 + b4471 + b4522 + b4687
       + b4712 + b4856 + b4922 + b4982 + b5232 + b5316 + b5345 + b5361 + b5395
       + b5416 + b5480 + b5495 + b5518 + b5598 + b5635 + b5637 + b5676 + b5817
       + b5930 + b6146 + b6161 + b6246 + b6303 + b6359 + b6374 + b6375 + b6533
       + b6564 + b6634 + b6676 + b6678 + b6690 + b6708 + b6773 + b6823 + b6874
       + b7027 + b7180 + b7278 + b7323 + b7410 + b7487 + b7552 + b7572 + b7590
       + b7633 + b7639 + b7648 + b7685 + b7692 + b7748 + b7749 + b7761 + b7777
       + b7784 + b7827 + b8077 + b8122 + b8447 + b8569 + b8571 + b8662 + b8699
       + b8717 + b8767 = 1;

e421:    b6 + b24 + b86 + b92 + b142 + b174 + b182 + b297 + b421 + b463 + b481
       + b493 + b809 + b937 + b969 + b985 + b998 + b1009 + b1127 + b1175
       + b1176 + b1241 + b1259 + b1273 + b1274 + b1310 + b1410 + b1494 + b1623
       + b1817 + b1902 + b1916 + b1917 + b1921 + b2029 + b2218 + b2249 + b2299
       + b2312 + b2349 + b2394 + b2425 + b2450 + b2723 + b2736 + b2922 + b3116
       + b3190 + b3213 + b3226 + b3228 + b3240 + b3259 + b3334 + b3337 + b3898
       + b3930 + b3933 + b3963 + b3980 + b4066 + b4113 + b4127 + b4135 + b4139
       + b4142 + b4162 + b4256 + b4266 + b4269 + b4289 + b4368 + b4422 + b4471
       + b4522 + b4687 + b4712 + b4856 + b4922 + b4982 + b5232 + b5316 + b5345
       + b5361 + b5395 + b5416 + b5480 + b5495 + b5518 + b5598 + b5635 + b5637
       + b5676 + b5817 + b5930 + b6115 + b6146 + b6161 + b6246 + b6303 + b6359
       + b6374 + b6375 + b6533 + b6676 + b6678 + b6690 + b6708 + b6773 + b6823
       + b6824 + b6874 + b6882 + b7027 + b7180 + b7278 + b7323 + b7410 + b7487
       + b7552 + b7572 + b7590 + b7633 + b7639 + b7648 + b7685 + b7692 + b7748
       + b7749 + b7761 + b7777 + b7784 + b7827 + b8077 + b8122 + b8447 + b8569
       + b8571 + b8662 + b8699 + b8717 + b8767 = 1;

e422:    b249 + b293 + b308 + b404 + b448 + b520 + b530 + b610 + b639 + b910
       + b920 + b992 + b1035 + b1239 + b1308 + b1311 + b1317 + b1378 + b1488
       + b1562 + b1613 + b1653 + b1673 + b1694 + b1698 + b1905 + b1972 + b2062
       + b2073 + b2277 + b2434 + b2454 + b2582 + b2590 + b2702 + b2710 + b3173
       + b3176 + b3296 + b3344 + b3395 + b3511 + b3512 + b3598 + b3620 + b3682
       + b3925 + b3969 + b3983 + b4138 + b4179 + b4202 + b4237 + b4462 + b4469
       + b4516 + b4645 + b4677 + b4712 + b4764 + b4844 + b4907 + b5005 + b5186
       + b5296 + b5345 + b5426 + b5439 + b5476 + b5561 + b5596 + b5679 + b5702
       + b5718 + b5720 + b5737 + b5762 + b5775 + b5776 + b5779 + b5780 + b5841
       + b5855 + b5863 + b5876 + b6050 + b6169 + b6183 + b6195 + b6319 + b6358
       + b6394 + b6642 + b6683 + b6690 + b6708 + b6723 + b6736 + b6792 + b6860
       + b6892 + b6930 + b6940 + b6983 + b6995 + b7251 + b7351 + b7360 + b7552
       + b7622 + b7694 + b7821 + b7842 + b7874 + b7899 + b7903 + b7906 + b7922
       + b7940 + b8000 + b8011 + b8099 + b8141 + b8229 + b8320 + b8349 + b8375
       + b8423 + b8519 + b8534 + b8586 + b8599 + b8613 + b8838 + b8902 = 1;

e423:    b8 + b390 + b398 + b520 + b658 + b812 + b861 + b924 + b1093 + b1139
       + b1223 + b1317 + b1378 + b1488 + b1673 + b1684 + b1937 + b1989 + b2062
       + b2073 + b2246 + b2263 + b2277 + b2286 + b2293 + b2335 + b2454 + b2692
       + b2710 + b2843 + b2880 + b2955 + b3027 + b3101 + b3169 + b3211 + b3338
       + b3398 + b3431 + b3475 + b3502 + b3564 + b3598 + b3822 + b3838 + b3961
       + b3983 + b4084 + b4483 + b4516 + b4661 + b4797 + b5005 + b5075 + b5097
       + b5356 + b5430 + b5439 + b5693 + b5702 + b5720 + b5737 + b5779 + b5802
       + b5841 + b5863 + b6000 + b6125 + b6232 + b6358 + b6493 + b6663 + b6792
       + b7035 + b7224 + b7381 + b7485 + b7523 + b7776 + b7852 + b8099 + b8277
       + b8331 + b8423 + b8534 + b8613 + b8745 = 1;

e424:    b8 + b520 + b658 + b812 + b861 + b1223 + b1317 + b1378 + b1488 + b1684
       + b1989 + b2062 + b2073 + b2246 + b2277 + b2293 + b2335 + b2454 + b2843
       + b2880 + b2955 + b3101 + b3211 + b3431 + b3564 + b3838 + b3983 + b4516
       + b4661 + b5005 + b5075 + b5097 + b5430 + b5439 + b5693 + b5702 + b5720
       + b5737 + b5779 + b5802 + b5841 + b6000 + b6125 + b6358 + b6493 + b6663
       + b6792 + b7224 + b7381 + b7485 + b8331 + b8423 + b8534 + b8566 + b8613
       + b8745 = 1;

e425:    b8 + b97 + b520 + b600 + b658 + b745 + b910 + b1035 + b1047 + b1311
       + b1317 + b1503 + b1659 + b1684 + b1737 + b2062 + b2213 + b2246 + b2277
       + b2335 + b2441 + b2454 + b2559 + b2692 + b2843 + b3181 + b3211 + b3431
       + b3564 + b3807 + b3838 + b3942 + b3969 + b3983 + b4406 + b4446 + b4516
       + b4661 + b4782 + b5005 + b5430 + b5439 + b5464 + b5693 + b5702 + b5720
       + b5779 + b5802 + b6000 + b6046 + b6125 + b6131 + b6169 + b6358 + b6493
       + b6607 + b6663 + b6683 + b6756 + b6792 + b7018 + b7224 + b7381 + b7866
       + b8197 + b8375 + b8745 + b8838 = 1;

e426:    b8 + b97 + b520 + b600 + b658 + b745 + b910 + b1035 + b1047 + b1311
       + b1317 + b1503 + b1659 + b1684 + b1737 + b2062 + b2213 + b2246 + b2277
       + b2335 + b2441 + b2454 + b2559 + b2692 + b2843 + b3181 + b3211 + b3431
       + b3564 + b3807 + b3838 + b3942 + b3969 + b3983 + b4406 + b4446 + b4516
       + b4661 + b4782 + b5005 + b5430 + b5439 + b5464 + b5693 + b5702 + b5720
       + b5779 + b5802 + b6000 + b6046 + b6125 + b6131 + b6169 + b6358 + b6493
       + b6607 + b6663 + b6683 + b6756 + b6792 + b7018 + b7224 + b7381 + b7866
       + b8197 + b8375 + b8745 + b8838 = 1;

e427:    b8 + b97 + b520 + b600 + b658 + b745 + b910 + b1035 + b1047 + b1229
       + b1311 + b1503 + b1659 + b1684 + b1753 + b1972 + b2073 + b2104 + b2213
       + b2246 + b2335 + b2441 + b2454 + b2468 + b2505 + b2559 + b2692 + b2843
       + b2855 + b2865 + b2880 + b3176 + b3181 + b3206 + b3362 + b3386 + b3822
       + b3838 + b4202 + b4293 + b4406 + b4446 + b4661 + b4750 + b4760 + b4782
       + b4859 + b4903 + b5061 + b5075 + b5430 + b5439 + b5464 + b5499 + b5693
       + b5702 + b5720 + b5802 + b5841 + b5863 + b6000 + b6046 + b6125 + b6131
       + b6139 + b6358 + b6394 + b6453 + b6493 + b6596 + b6607 + b6663 + b6683
       + b6736 + b6756 + b6792 + b7018 + b7138 + b7224 + b7301 + b7381 + b7669
       + b7866 + b7983 + b8036 + b8197 + b8276 + b8287 + b8302 + b8331 + b8378
       + b8613 + b8745 + b8838 = 1;

e428:    b8 + b97 + b520 + b600 + b658 + b910 + b1035 + b1047 + b1229 + b1311
       + b1503 + b1659 + b1682 + b1684 + b1744 + b1753 + b1972 + b2073 + b2104
       + b2213 + b2246 + b2335 + b2441 + b2454 + b2468 + b2505 + b2559 + b2692
       + b2843 + b2855 + b2880 + b3176 + b3181 + b3206 + b3362 + b3386 + b3511
       + b3822 + b3838 + b4202 + b4237 + b4293 + b4406 + b4446 + b4661 + b4674
       + b4750 + b4760 + b4782 + b4830 + b4859 + b4903 + b5075 + b5430 + b5439
       + b5464 + b5693 + b5702 + b5720 + b5802 + b5841 + b5863 + b6000 + b6046
       + b6125 + b6131 + b6139 + b6358 + b6453 + b6493 + b6596 + b6607 + b6663
       + b6683 + b6736 + b6756 + b6792 + b7018 + b7138 + b7224 + b7301 + b7381
       + b7669 + b7866 + b7983 + b8036 + b8197 + b8276 + b8302 + b8331 + b8378
       + b8613 + b8745 + b8838 = 1;

e429:    b96 + b249 + b293 + b448 + b486 + b520 + b530 + b600 + b619 + b658
       + b802 + b833 + b910 + b935 + b992 + b1035 + b1047 + b1229 + b1311
       + b1354 + b1441 + b1503 + b1571 + b1673 + b1682 + b1744 + b1753 + b1819
       + b1848 + b1905 + b1972 + b2028 + b2073 + b2104 + b2213 + b2241 + b2441
       + b2468 + b2505 + b2559 + b2563 + b2692 + b2710 + b2740 + b2855 + b2880
       + b3030 + b3176 + b3186 + b3206 + b3386 + b3511 + b3512 + b3523 + b3534
       + b3552 + b3620 + b3682 + b3810 + b4098 + b4202 + b4237 + b4263 + b4406
       + b4474 + b4516 + b4645 + b4674 + b4677 + b4720 + b4729 + b4750 + b4760
       + b4782 + b4791 + b4830 + b4859 + b4907 + b4965 + b4976 + b5018 + b5019
       + b5071 + b5075 + b5086 + b5226 + b5332 + b5439 + b5693 + b5702 + b5735
       + b5740 + b5776 + b5841 + b5863 + b5876 + b5995 + b6046 + b6050 + b6125
       + b6171 + b6195 + b6232 + b6319 + b6453 + b6596 + b6607 + b6663 + b6726
       + b6736 + b6783 + b6930 + b7018 + b7117 + b7138 + b7149 + b7192 + b7301
       + b7381 + b7549 + b7669 + b7689 + b7821 + b7866 + b7874 + b7906 + b7940
       + b8036 + b8042 + b8073 + b8116 + b8141 + b8197 + b8259 + b8302 + b8331
       + b8349 + b8378 + b8504 + b8519 + b8613 + b8650 + b8681 + b8726 + b8800
       + b8838 + b8901 = 1;

e430:    b96 + b249 + b293 + b448 + b486 + b520 + b530 + b600 + b619 + b634
       + b658 + b802 + b833 + b910 + b935 + b992 + b1035 + b1047 + b1229
       + b1311 + b1354 + b1441 + b1442 + b1503 + b1571 + b1673 + b1682 + b1744
       + b1753 + b1819 + b1848 + b1905 + b1972 + b2028 + b2073 + b2104 + b2213
       + b2241 + b2441 + b2468 + b2505 + b2559 + b2563 + b2576 + b2692 + b2710
       + b2740 + b2855 + b2880 + b3030 + b3176 + b3186 + b3206 + b3386 + b3511
       + b3512 + b3523 + b3534 + b3552 + b3620 + b3682 + b3810 + b4098 + b4202
       + b4237 + b4263 + b4406 + b4474 + b4516 + b4645 + b4674 + b4677 + b4720
       + b4729 + b4750 + b4760 + b4782 + b4791 + b4800 + b4830 + b4859 + b4907
       + b4965 + b4976 + b5018 + b5019 + b5071 + b5075 + b5086 + b5226 + b5332
       + b5439 + b5693 + b5702 + b5735 + b5740 + b5776 + b5841 + b5863 + b5876
       + b5995 + b6046 + b6050 + b6125 + b6171 + b6195 + b6232 + b6319 + b6453
       + b6596 + b6607 + b6663 + b6726 + b6736 + b6783 + b6930 + b7018 + b7050
       + b7117 + b7138 + b7149 + b7192 + b7301 + b7381 + b7549 + b7669 + b7689
       + b7821 + b7866 + b7874 + b7906 + b7940 + b8036 + b8042 + b8073 + b8116
       + b8141 + b8197 + b8259 + b8302 + b8331 + b8349 + b8378 + b8504 + b8519
       + b8613 + b8650 + b8681 + b8726 + b8800 + b8838 + b8901 = 1;

e431:    b24 + b74 + b131 + b154 + b370 + b379 + b528 + b532 + b535 + b550
       + b558 + b568 + b616 + b669 + b774 + b809 + b931 + b940 + b941 + b994
       + b1127 + b1133 + b1197 + b1244 + b1255 + b1273 + b1274 + b1295 + b1429
       + b1481 + b1655 + b1740 + b1751 + b1769 + b1849 + b1951 + b2003 + b2050
       + b2051 + b2052 + b2060 + b2091 + b2147 + b2149 + b2168 + b2188 + b2218
       + b2249 + b2256 + b2315 + b2380 + b2585 + b2605 + b2660 + b2734 + b2784
       + b2798 + b2804 + b2819 + b2844 + b2905 + b3008 + b3017 + b3020 + b3215
       + b3229 + b3251 + b3379 + b3388 + b3407 + b3417 + b3496 + b3541 + b3586
       + b3685 + b3707 + b3839 + b3940 + b4001 + b4006 + b4066 + b4074 + b4261
       + b4275 + b4306 + b4335 + b4364 + b4403 + b4442 + b4500 + b4549 + b4573
       + b4591 + b4755 + b4773 + b4935 + b4991 + b5042 + b5095 + b5176 + b5191
       + b5232 + b5275 + b5293 + b5416 + b5582 + b5598 + b5641 + b5644 + b5654
       + b5676 + b5711 + b5888 + b5940 + b6032 + b6172 + b6193 + b6222 + b6254
       + b6260 + b6297 + b6406 + b6427 + b6462 + b6469 + b6482 + b6676 + b6678
       + b6680 + b6768 + b6794 + b6834 + b6841 + b6982 + b7025 + b7030 + b7105
       + b7116 + b7210 + b7264 + b7278 + b7308 + b7336 + b7417 + b7472 + b7487
       + b7559 + b7560 + b7572 + b7592 + b7695 + b7772 + b7871 + b7880 + b7923
       + b8161 + b8173 + b8176 + b8237 + b8300 + b8318 + b8364 + b8401 + b8447
       + b8498 + b8611 + b8654 + b8690 + b8733 = 1;

e432:    b24 + b67 + b74 + b154 + b282 + b370 + b424 + b441 + b528 + b550
       + b557 + b558 + b566 + b568 + b579 + b774 + b798 + b809 + b837 + b864
       + b931 + b940 + b994 + b1107 + b1127 + b1192 + b1197 + b1208 + b1215
       + b1226 + b1234 + b1273 + b1274 + b1279 + b1295 + b1383 + b1481 + b1655
       + b1740 + b1751 + b1769 + b1849 + b1951 + b2003 + b2010 + b2052 + b2060
       + b2068 + b2091 + b2147 + b2168 + b2188 + b2218 + b2256 + b2268 + b2315
       + b2380 + b2396 + b2585 + b2644 + b2660 + b2718 + b2734 + b2784 + b2798
       + b2804 + b2819 + b2832 + b2925 + b2971 + b3017 + b3230 + b3251 + b3379
       + b3407 + b3445 + b3451 + b3457 + b3464 + b3496 + b3514 + b3541 + b3671
       + b3685 + b3707 + b3745 + b3788 + b3940 + b4001 + b4031 + b4066 + b4134
       + b4175 + b4261 + b4275 + b4306 + b4335 + b4336 + b4364 + b4403 + b4442
       + b4500 + b4549 + b4573 + b4576 + b4591 + b4755 + b4773 + b4935 + b4991
       + b5005 + b5042 + b5191 + b5232 + b5275 + b5293 + b5330 + b5342 + b5416
       + b5598 + b5612 + b5644 + b5650 + b5659 + b5676 + b5700 + b5711 + b5737
       + b5873 + b5888 + b5908 + b5940 + b5981 + b6032 + b6123 + b6172 + b6176
       + b6192 + b6222 + b6254 + b6260 + b6269 + b6297 + b6370 + b6406 + b6427
       + b6442 + b6462 + b6463 + b6469 + b6482 + b6485 + b6680 + b6768 + b6794
       + b6834 + b6982 + b7025 + b7047 + b7095 + b7105 + b7116 + b7210 + b7212
       + b7213 + b7417 + b7472 + b7487 + b7559 + b7560 + b7572 + b7579 + b7695
       + b7709 + b7783 + b7846 + b7855 + b7871 + b7923 + b7976 + b7985 + b8149
       + b8161 + b8173 + b8176 + b8196 + b8237 + b8300 + b8318 + b8335 + b8498
       + b8567 + b8570 + b8577 + b8611 + b8654 + b8690 + b8865 = 1;

e433:    b24 + b67 + b74 + b282 + b370 + b528 + b550 + b558 + b566 + b568
       + b809 + b837 + b864 + b931 + b994 + b1168 + b1192 + b1197 + b1226
       + b1234 + b1244 + b1274 + b1295 + b1383 + b1655 + b1740 + b1751 + b1769
       + b1951 + b2060 + b2068 + b2091 + b2147 + b2188 + b2256 + b2268 + b2315
       + b2585 + b2644 + b2695 + b2730 + b2734 + b2784 + b2798 + b2804 + b2819
       + b2971 + b3017 + b3251 + b3379 + b3402 + b3422 + b3451 + b3464 + b3496
       + b3541 + b3671 + b3788 + b4001 + b4031 + b4134 + b4175 + b4261 + b4306
       + b4335 + b4403 + b4500 + b4549 + b4573 + b4755 + b4853 + b4899 + b4921
       + b4935 + b4991 + b5042 + b5191 + b5232 + b5275 + b5293 + b5330 + b5416
       + b5601 + b5612 + b5619 + b5711 + b6032 + b6123 + b6222 + b6254 + b6260
       + b6269 + b6297 + b6406 + b6427 + b6462 + b6463 + b6482 + b6485 + b6680
       + b6768 + b6794 + b7047 + b7071 + b7090 + b7105 + b7116 + b7210 + b7212
       + b7213 + b7417 + b7472 + b7487 + b7560 + b7572 + b7854 + b7855 + b7871
       + b7923 + b7976 + b7985 + b8176 + b8300 + b8318 + b8335 + b8567 + b8577
       + b8611 + b8865 = 1;

e434:    b32 + b550 + b568 + b633 + b669 + b1112 + b1274 + b1295 + b1383
       + b1429 + b1799 + b1893 + b2052 + b2218 + b2905 + b2971 + b3017 + b3370
       + b3451 + b3685 + b4134 + b4178 + b4549 + b4573 + b4935 + b5001 + b5042
       + b5191 + b5416 + b5612 + b5888 + b5940 + b6032 + b6145 + b6254 + b6427
       + b6469 + b6713 + b6768 + b6841 + b7047 + b7487 + b7572 + b7721 + b7795
       + b7855 + b7860 + b7976 + b7985 + b8161 + b8300 + b8318 + b8335 + b8447
       + b8567 + b8577 + b8719 = 1;

e435:    b32 + b557 + b633 + b669 + b1107 + b1112 + b1215 + b1274 + b1295
       + b1383 + b1893 + b2052 + b2218 + b2905 + b3017 + b3370 + b3685 + b4134
       + b4178 + b4549 + b4573 + b4935 + b5001 + b5191 + b5416 + b5612 + b5888
       + b5940 + b6254 + b6469 + b6713 + b6768 + b7047 + b7487 + b7572 + b7709
       + b7721 + b7795 + b7846 + b7855 + b7976 + b8161 + b8318 + b8447 + b8577
       + b8719 = 1;

e436:    b222 + b531 + b557 + b576 + b579 + b669 + b837 + b1215 + b2198 + b2218
       + b2256 + b2480 + b2681 + b2790 + b2832 + b2905 + b3244 + b3381 + b3707
       + b4074 + b4207 + b4275 + b4573 + b4871 + b4935 + b5056 + b5149 + b5416
       + b5598 + b5659 + b5676 + b5684 + b5734 + b5908 + b5954 + b5985 + b6246
       + b6254 + b6320 + b6442 + b6645 + b6713 + b7047 + b7086 + b7211 + b7517
       + b7579 + b7709 + b7846 + b7985 + b8318 + b8370 + b8714 = 1;

e437:    b154 + b222 + b424 + b441 + b557 + b579 + b669 + b774 + b798 + b940
       + b1107 + b1127 + b1208 + b1215 + b1273 + b1279 + b1481 + b1769 + b1849
       + b2003 + b2052 + b2168 + b2198 + b2218 + b2380 + b2396 + b2480 + b2660
       + b2681 + b2718 + b2790 + b2832 + b2905 + b2925 + b3230 + b3407 + b3445
       + b3457 + b3478 + b3514 + b3685 + b3707 + b3745 + b3940 + b4275 + b4336
       + b4442 + b4573 + b4576 + b4591 + b4773 + b4871 + b4935 + b5005 + b5149
       + b5342 + b5416 + b5598 + b5644 + b5650 + b5659 + b5676 + b5700 + b5737
       + b5873 + b5888 + b5908 + b5940 + b5981 + b5985 + b6172 + b6176 + b6192
       + b6370 + b6442 + b6469 + b6645 + b6713 + b6834 + b6982 + b7025 + b7047
       + b7086 + b7095 + b7211 + b7559 + b7579 + b7695 + b7709 + b7783 + b7846
       + b8149 + b8161 + b8173 + b8196 + b8237 + b8318 + b8370 + b8498 + b8570
       + b8654 + b8690 = 1;

e438:    b42 + b74 + b76 + b154 + b155 + b171 + b177 + b251 + b324 + b355
       + b370 + b424 + b442 + b451 + b531 + b532 + b557 + b579 + b616 + b669
       + b774 + b798 + b940 + b941 + b953 + b1107 + b1110 + b1133 + b1197
       + b1208 + b1215 + b1244 + b1255 + b1279 + b1295 + b1452 + b1481 + b1518
       + b1740 + b1745 + b1769 + b1849 + b1927 + b1933 + b1951 + b2003 + b2027
       + b2051 + b2052 + b2068 + b2082 + b2168 + b2198 + b2374 + b2380 + b2390
       + b2396 + b2585 + b2605 + b2660 + b2681 + b2691 + b2718 + b2734 + b2784
       + b2790 + b2793 + b2832 + b2905 + b3008 + b3089 + b3132 + b3215 + b3229
       + b3244 + b3379 + b3407 + b3417 + b3445 + b3514 + b3685 + b3707 + b3745
       + b3812 + b3839 + b3940 + b4001 + b4116 + b4261 + b4275 + b4335 + b4336
       + b4364 + b4413 + b4442 + b4535 + b4549 + b4554 + b4573 + b4576 + b4591
       + b4773 + b4788 + b4871 + b4882 + b4935 + b5005 + b5095 + b5149 + b5176
       + b5293 + b5342 + b5410 + b5573 + b5634 + b5641 + b5644 + b5650 + b5654
       + b5700 + b5737 + b5769 + b5873 + b5888 + b5940 + b5981 + b6150 + b6172
       + b6176 + b6192 + b6206 + b6222 + b6297 + b6406 + b6442 + b6469 + b6575
       + b6578 + b6629 + b6680 + b6687 + b6719 + b6745 + b6768 + b6774 + b6794
       + b6808 + b6834 + b6854 + b6982 + b7025 + b7086 + b7095 + b7105 + b7116
       + b7164 + b7210 + b7211 + b7308 + b7392 + b7417 + b7419 + b7472 + b7559
       + b7560 + b7612 + b7679 + b7687 + b7695 + b7709 + b7846 + b7871 + b7880
       + b8004 + b8020 + b8104 + b8149 + b8161 + b8173 + b8196 + b8318 + b8370
       + b8383 + b8401 + b8498 + b8534 + b8544 + b8556 + b8570 + b8618 + b8654
       + b8690 + b8733 + b8797 + b8888 = 1;

e439:    b42 + b74 + b76 + b180 + b324 + b370 + b442 + b444 + b532 + b564
       + b728 + b749 + b774 + b781 + b798 + b940 + b953 + b994 + b1073 + b1106
       + b1107 + b1208 + b1215 + b1295 + b1671 + b1719 + b1745 + b1769 + b1951
       + b1967 + b2003 + b2027 + b2052 + b2082 + b2338 + b2374 + b2390 + b2479
       + b2534 + b2568 + b2605 + b2776 + b2778 + b2803 + b2804 + b2832 + b2856
       + b2905 + b2946 + b2947 + b3089 + b3190 + b3191 + b3215 + b3244 + b3251
       + b3383 + b3514 + b3530 + b3767 + b3812 + b3835 + b3839 + b3932 + b4001
       + b4116 + b4125 + b4261 + b4335 + b4426 + b4442 + b4500 + b4534 + b4535
       + b4554 + b4576 + b4591 + b4700 + b4737 + b4788 + b4871 + b4882 + b4909
       + b4935 + b4996 + b5005 + b5095 + b5100 + b5101 + b5113 + b5138 + b5149
       + b5176 + b5230 + b5285 + b5346 + b5355 + b5401 + b5410 + b5573 + b5576
       + b5644 + b5650 + b5737 + b5769 + b5873 + b5940 + b5981 + b6111 + b6150
       + b6172 + b6176 + b6192 + b6206 + b6227 + b6406 + b6464 + b6542 + b6575
       + b6641 + b6704 + b6719 + b6808 + b6934 + b6937 + b6975 + b6982 + b7021
       + b7025 + b7095 + b7105 + b7116 + b7210 + b7211 + b7218 + b7330 + b7348
       + b7392 + b7417 + b7419 + b7472 + b7609 + b7637 + b7679 + b7687 + b7709
       + b7833 + b7858 + b8004 + b8020 + b8104 + b8161 + b8364 + b8370 + b8383
       + b8401 + b8408 + b8457 + b8534 + b8544 + b8570 + b8654 + b8690 + b8733
       + b8777 + b8855 = 1;

e440:    b74 + b76 + b180 + b324 + b370 + b442 + b444 + b532 + b564 + b728
       + b749 + b774 + b781 + b940 + b953 + b994 + b1033 + b1073 + b1107
       + b1208 + b1215 + b1295 + b1671 + b1719 + b1745 + b1769 + b1951 + b1967
       + b2003 + b2027 + b2052 + b2082 + b2113 + b2338 + b2374 + b2390 + b2479
       + b2534 + b2568 + b2605 + b2776 + b2778 + b2803 + b2804 + b2832 + b2856
       + b2905 + b2946 + b2947 + b3190 + b3191 + b3215 + b3244 + b3251 + b3514
       + b3530 + b3767 + b3812 + b3839 + b3932 + b4001 + b4125 + b4261 + b4335
       + b4418 + b4426 + b4442 + b4500 + b4505 + b4534 + b4535 + b4554 + b4576
       + b4591 + b4700 + b4737 + b4788 + b4871 + b4882 + b4909 + b4935 + b4942
       + b4996 + b5005 + b5095 + b5100 + b5101 + b5113 + b5138 + b5149 + b5176
       + b5230 + b5285 + b5346 + b5355 + b5573 + b5644 + b5650 + b5737 + b5769
       + b5873 + b5940 + b5981 + b6032 + b6111 + b6150 + b6172 + b6176 + b6192
       + b6206 + b6227 + b6406 + b6464 + b6542 + b6575 + b6641 + b6704 + b6719
       + b6808 + b6934 + b6937 + b6975 + b6982 + b7021 + b7025 + b7095 + b7105
       + b7116 + b7210 + b7211 + b7218 + b7330 + b7348 + b7392 + b7417 + b7419
       + b7472 + b7609 + b7637 + b7687 + b7709 + b7806 + b7833 + b7858 + b8004
       + b8020 + b8104 + b8161 + b8364 + b8370 + b8383 + b8401 + b8408 + b8457
       + b8534 + b8544 + b8570 + b8654 + b8690 + b8733 + b8777 + b8855 = 1;

e441:    b107 + b108 + b663 + b800 + b962 + b1092 + b1398 + b1434 + b1472
       + b1817 + b1950 + b2038 + b2126 + b2221 + b2238 + b2283 + b2299 + b2371
       + b2373 + b2424 + b2600 + b2758 + b2992 + b3207 + b3268 + b3563 + b3566
       + b3599 + b3877 + b4376 + b4480 + b4508 + b4585 + b4586 + b4842 + b5063
       + b5701 + b5735 + b6049 + b6089 + b6241 + b6304 + b6434 + b6497 + b6604
       + b6612 + b6643 + b6682 + b6793 + b6805 + b7159 + b7322 + b7343 + b7445
       + b7449 + b7790 + b7944 + b8042 + b8278 + b8317 + b8336 + b8470 + b8631
       + b8767 + b8833 + b8884 = 1;

e442:    b107 + b108 + b504 + b614 + b624 + b800 + b1092 + b1472 + b1817
       + b2221 + b2283 + b2299 + b2329 + b2373 + b2424 + b2600 + b2758 + b2991
       + b2992 + b3268 + b3599 + b3619 + b4508 + b4585 + b4842 + b5701 + b5735
       + b5745 + b5862 + b6049 + b6241 + b6434 + b6643 + b6682 + b6793 + b6805
       + b6812 + b7159 + b7288 + b7322 + b7420 + b7462 + b7790 + b8042 + b8278
       + b8308 + b8336 + b8458 + b8470 + b8631 + b8767 = 1;

e443:    b264 + b308 + b404 + b422 + b869 + b1369 + b1428 + b2012 + b2146
       + b2283 + b2312 + b2314 + b2358 + b2394 + b2424 + b2991 + b3371 + b3858
       + b3894 + b4107 + b4316 + b4764 + b4844 + b5701 + b5731 + b6381 + b6434
       + b6458 + b6812 + b7159 + b7790 + b8061 + b8098 + b8278 + b8308 + b8698
       + b8767 = 1;

e444:    b264 + b308 + b404 + b422 + b1369 + b1428 + b2012 + b2146 + b2283
       + b2312 + b2314 + b2358 + b2394 + b2424 + b2991 + b3371 + b3858 + b3894
       + b4107 + b4316 + b4764 + b4844 + b5701 + b5731 + b6381 + b6434 + b6458
       + b6812 + b7159 + b7790 + b8061 + b8098 + b8278 + b8308 + b8698 + b8767
       = 1;

e445:    b86 + b108 + b264 + b308 + b364 + b404 + b422 + b583 + b620 + b692
       + b1092 + b1369 + b1376 + b1428 + b1472 + b2283 + b2312 + b2314 + b2358
       + b2394 + b2674 + b2853 + b3565 + b3894 + b4107 + b4316 + b4585 + b4764
       + b4844 + b4914 + b5069 + b5157 + b5731 + b6773 + b6805 + b7114 + b7159
       + b7185 + b8076 + b8098 + b8308 + b8698 = 1;

e446:    b108 + b113 + b308 + b422 + b962 + b1092 + b1434 + b2038 + b2283
       + b2314 + b2358 + b2371 + b3207 + b3877 + b4316 + b4585 + b4586 + b4844
       + b4914 + b5731 + b5864 + b6089 + b6805 + b7114 + b7159 + b7185 + b8698
       = 1;

e447:    b76 + b108 + b177 + b264 + b630 + b792 + b1092 + b1115 + b1552 + b1675
       + b1836 + b2038 + b2272 + b2326 + b2358 + b2371 + b2396 + b2771 + b2889
       + b2922 + b2998 + b3026 + b3207 + b3255 + b3286 + b3454 + b3638 + b3872
       + b3877 + b3934 + b4037 + b4107 + b4316 + b4576 + b4585 + b4586 + b4898
       + b4914 + b5136 + b5545 + b5731 + b6017 + b6089 + b6150 + b6164 + b6206
       + b6217 + b6247 + b6324 + b6346 + b6589 + b6707 + b6774 + b7131 + b7159
       + b7185 + b7202 + b7486 + b7703 + b7705 + b8292 + b8370 + b8432 + b8472
       + b8513 + b8522 + b8559 + b8698 = 1;

e448:    b76 + b108 + b177 + b264 + b630 + b792 + b1092 + b1115 + b1129 + b1552
       + b1675 + b1836 + b2038 + b2151 + b2201 + b2326 + b2358 + b2371 + b2396
       + b2771 + b2837 + b2889 + b2922 + b2998 + b3026 + b3207 + b3255 + b3286
       + b3454 + b3638 + b3872 + b3877 + b3934 + b4037 + b4107 + b4316 + b4563
       + b4576 + b4585 + b4586 + b4898 + b4914 + b5136 + b5545 + b5731 + b6017
       + b6089 + b6150 + b6164 + b6206 + b6217 + b6247 + b6324 + b6346 + b6544
       + b6589 + b6628 + b6707 + b6774 + b7159 + b7185 + b7322 + b7486 + b7703
       + b7705 + b8292 + b8370 + b8432 + b8472 + b8513 + b8522 + b8559 + b8698
       = 1;

e449:    b98 + b129 + b136 + b165 + b173 + b312 + b363 + b383 + b456 + b612
       + b656 + b678 + b695 + b696 + b733 + b778 + b858 + b877 + b997 + b1038
       + b1039 + b1062 + b1178 + b1302 + b1322 + b1354 + b1357 + b1388 + b1400
       + b1458 + b1604 + b1617 + b1702 + b1716 + b1762 + b1793 + b1794 + b1822
       + b2278 + b2297 + b2324 + b2362 + b2402 + b2411 + b2417 + b2467 + b2472
       + b2505 + b2541 + b2550 + b2551 + b2586 + b2620 + b2679 + b2786 + b2835
       + b2845 + b2859 + b3233 + b3285 + b3312 + b3315 + b3349 + b3523 + b3552
       + b3569 + b3588 + b3604 + b3652 + b3665 + b3711 + b3804 + b3815 + b3827
       + b3833 + b3857 + b3939 + b3987 + b3994 + b4018 + b4045 + b4209 + b4244
       + b4282 + b4299 + b4337 + b4360 + b4418 + b4457 + b4575 + b4642 + b4672
       + b4750 + b4779 + b4823 + b4840 + b4936 + b4960 + b5024 + b5107 + b5122
       + b5161 + b5162 + b5180 + b5197 + b5252 + b5266 + b5420 + b5456 + b5498
       + b5514 + b5569 + b5693 + b5761 + b5769 + b5846 + b5885 + b5891 + b5897
       + b6003 + b6056 + b6059 + b6073 + b6080 + b6123 + b6124 + b6174 + b6192
       + b6216 + b6236 + b6248 + b6291 + b6517 + b6597 + b6712 + b6731 + b6784
       + b6829 + b6830 + b6831 + b6919 + b6981 + b6992 + b6996 + b7038 + b7039
       + b7191 + b7234 + b7256 + b7260 + b7275 + b7279 + b7287 + b7294 + b7320
       + b7385 + b7430 + b7471 + b7519 + b7615 + b7652 + b7723 + b7753 + b7754
       + b7806 + b7825 + b7894 + b7907 + b7935 + b7946 + b7988 + b8009 + b8018
       + b8060 + b8156 + b8192 + b8208 + b8269 + b8374 + b8427 + b8438 + b8482
       + b8485 + b8524 + b8587 + b8659 + b8759 + b8843 + b8863 + b8889 = 1;

e450:    b129 + b136 + b165 + b173 + b312 + b363 + b383 + b456 + b612 + b656
       + b678 + b695 + b696 + b733 + b778 + b858 + b877 + b997 + b1038 + b1039
       + b1062 + b1178 + b1302 + b1322 + b1354 + b1357 + b1388 + b1400 + b1604
       + b1617 + b1702 + b1716 + b1762 + b1822 + b2278 + b2297 + b2362 + b2402
       + b2417 + b2467 + b2472 + b2505 + b2541 + b2550 + b2551 + b2586 + b2620
       + b2679 + b2786 + b2835 + b2845 + b2859 + b3233 + b3285 + b3312 + b3315
       + b3349 + b3523 + b3552 + b3569 + b3588 + b3604 + b3652 + b3665 + b3804
       + b3815 + b3827 + b3833 + b3857 + b3939 + b3987 + b3994 + b4045 + b4209
       + b4244 + b4282 + b4299 + b4337 + b4360 + b4418 + b4457 + b4575 + b4642
       + b4672 + b4750 + b4779 + b4823 + b4840 + b4936 + b4960 + b5024 + b5107
       + b5122 + b5161 + b5162 + b5180 + b5197 + b5252 + b5266 + b5420 + b5456
       + b5514 + b5569 + b5693 + b5761 + b5769 + b5846 + b5885 + b5891 + b5897
       + b6003 + b6056 + b6059 + b6073 + b6080 + b6123 + b6124 + b6174 + b6192
       + b6216 + b6236 + b6248 + b6517 + b6597 + b6712 + b6731 + b6784 + b6829
       + b6830 + b6831 + b6919 + b6981 + b6992 + b6996 + b7038 + b7039 + b7234
       + b7256 + b7260 + b7275 + b7279 + b7287 + b7294 + b7320 + b7385 + b7430
       + b7471 + b7519 + b7615 + b7652 + b7723 + b7753 + b7754 + b7806 + b7825
       + b7894 + b7907 + b7935 + b7946 + b7988 + b8009 + b8018 + b8060 + b8156
       + b8192 + b8208 + b8269 + b8374 + b8438 + b8482 + b8485 + b8524 + b8587
       + b8659 + b8759 + b8843 + b8863 + b8889 = 1;

e451:    b235 + b312 + b322 + b456 + b478 + b678 + b877 + b1038 + b1039 + b1062
       + b1309 + b1357 + b1456 + b1604 + b1702 + b1716 + b1762 + b2466 + b2550
       + b2551 + b2786 + b2835 + b2845 + b2859 + b3493 + b3558 + b3588 + b3604
       + b3652 + b3665 + b3857 + b3987 + b4244 + b4299 + b4337 + b4418 + b4575
       + b4672 + b4779 + b4936 + b5107 + b5266 + b5450 + b5456 + b5514 + b5891
       + b5897 + b6080 + b6174 + b6517 + b6597 + b6777 + b6784 + b6981 + b6996
       + b7234 + b7279 + b7294 + b7670 + b7946 + b8009 + b8156 + b8438 + b8863
       + b8889 = 1;

e452:    b235 + b312 + b322 + b456 + b478 + b678 + b877 + b1038 + b1039 + b1062
       + b1309 + b1357 + b1456 + b1604 + b1702 + b1716 + b1762 + b2466 + b2550
       + b2551 + b2786 + b2835 + b2845 + b2859 + b3493 + b3558 + b3588 + b3604
       + b3652 + b3665 + b3857 + b3987 + b4244 + b4299 + b4337 + b4418 + b4575
       + b4672 + b4779 + b4936 + b5107 + b5266 + b5450 + b5456 + b5514 + b5891
       + b5897 + b6080 + b6174 + b6517 + b6597 + b6777 + b6784 + b6981 + b6996
       + b7234 + b7279 + b7294 + b7670 + b7946 + b8009 + b8156 + b8438 + b8863
       + b8889 = 1;

e453:    b165 + b173 + b181 + b312 + b383 + b456 + b877 + b1038 + b1039 + b1357
       + b1456 + b1702 + b1716 + b2035 + b2297 + b2550 + b2551 + b2845 + b2859
       + b3318 + b3516 + b3604 + b3652 + b3665 + b3959 + b3987 + b4244 + b4299
       + b4337 + b4575 + b4640 + b4642 + b4672 + b4779 + b4936 + b5490 + b5514
       + b5869 + b5891 + b5897 + b6003 + b6174 + b6272 + b6353 + b6597 + b6731
       + b6784 + b6981 + b6996 + b7279 + b7280 + b7287 + b7294 + b7754 + b7907
       + b8009 + b8156 + b8430 + b8438 + b8492 + b8863 + b8889 = 1;

e454:    b143 + b165 + b173 + b181 + b204 + b283 + b312 + b363 + b456 + b612
       + b696 + b877 + b1038 + b1039 + b1140 + b1357 + b1456 + b1702 + b2035
       + b2297 + b2550 + b2551 + b2620 + b2845 + b2859 + b2875 + b3349 + b3604
       + b3624 + b3652 + b3665 + b4244 + b4360 + b4640 + b4642 + b4672 + b4779
       + b4783 + b4936 + b5024 + b5122 + b5161 + b5180 + b5550 + b5569 + b5846
       + b5891 + b6003 + b6080 + b6272 + b6273 + b6731 + b6981 + b6996 + b7275
       + b7279 + b7280 + b7287 + b7294 + b7295 + b7312 + b7320 + b7364 + b7430
       + b7519 + b7723 + b7754 + b7907 + b8009 + b8156 + b8252 + b8438 + b8487
       + b8492 + b8524 + b8536 + b8759 = 1;

e455:    b43 + b143 + b204 + b293 + b456 + b473 + b507 + b553 + b570 + b740
       + b886 + b946 + b978 + b996 + b1029 + b1046 + b1178 + b1357 + b1604
       + b1669 + b1753 + b1832 + b1854 + b1885 + b1926 + b2258 + b2280 + b2281
       + b2464 + b2531 + b2559 + b2563 + b2620 + b3168 + b3206 + b3218 + b3233
       + b3237 + b3299 + b3324 + b3349 + b3355 + b3400 + b3473 + b3620 + b3631
       + b3665 + b3687 + b3694 + b3796 + b3811 + b3942 + b4018 + b4035 + b4091
       + b4129 + b4444 + b4457 + b4640 + b4670 + b4760 + b4782 + b5013 + b5020
       + b5059 + b5290 + b5379 + b5459 + b5491 + b5501 + b5959 + b6046 + b6080
       + b6124 + b6127 + b6217 + b6236 + b6260 + b6272 + b6273 + b6279 + b6353
       + b6538 + b6569 + b6809 + b6857 + b6871 + b6925 + b6933 + b6970 + b7024
       + b7312 + b7382 + b7392 + b7610 + b7636 + b7753 + b7754 + b8133 + b8138
       + b8179 + b8181 + b8184 + b8189 + b8192 + b8333 + b8347 + b8351 + b8487
       + b8753 + b8759 + b8898 = 1;

e456:    b143 + b204 + b293 + b456 + b473 + b507 + b553 + b570 + b740 + b886
       + b946 + b978 + b996 + b1029 + b1046 + b1178 + b1357 + b1604 + b1669
       + b1753 + b1832 + b1885 + b2258 + b2280 + b2464 + b2531 + b2559 + b2563
       + b2620 + b3168 + b3206 + b3218 + b3237 + b3299 + b3324 + b3349 + b3355
       + b3400 + b3620 + b3631 + b3665 + b3687 + b3694 + b3796 + b3811 + b3942
       + b4018 + b4091 + b4129 + b4444 + b4640 + b4670 + b5013 + b5020 + b5059
       + b5167 + b5379 + b5459 + b5491 + b5501 + b6046 + b6080 + b6127 + b6217
       + b6236 + b6260 + b6272 + b6273 + b6279 + b6538 + b6809 + b6857 + b6925
       + b6933 + b6970 + b7301 + b7312 + b7382 + b7392 + b7610 + b7636 + b7753
       + b7754 + b8138 + b8179 + b8184 + b8333 + b8347 + b8351 + b8487 + b8753
       + b8759 = 1;

e457:    b143 + b204 + b247 + b293 + b456 + b507 + b629 + b740 + b996 + b1604
       + b1832 + b1885 + b2258 + b2280 + b2531 + b2562 + b2563 + b2620 + b2835
       + b3299 + b3349 + b3355 + b3400 + b3620 + b3631 + b3694 + b4091 + b4129
       + b4306 + b4649 + b5059 + b5167 + b6080 + b6127 + b6217 + b6236 + b6260
       + b6272 + b6273 + b6279 + b6538 + b6809 + b6933 + b6970 + b7191 + b7382
       + b7753 + b7754 + b8333 + b8347 + b8485 + b8487 + b8753 + b8759 + b8817
       = 1;

e458:    b143 + b204 + b247 + b293 + b456 + b507 + b629 + b740 + b996 + b1604
       + b1832 + b1885 + b2258 + b2280 + b2531 + b2562 + b2563 + b2620 + b2835
       + b3299 + b3349 + b3355 + b3400 + b3620 + b3631 + b3694 + b4091 + b4129
       + b4306 + b4649 + b5059 + b5167 + b6080 + b6127 + b6217 + b6236 + b6260
       + b6272 + b6273 + b6279 + b6538 + b6809 + b6933 + b6970 + b7191 + b7382
       + b7753 + b7754 + b8333 + b8347 + b8485 + b8487 + b8753 + b8759 + b8817
       = 1;

e459:    b143 + b293 + b343 + b456 + b629 + b737 + b740 + b946 + b996 + b1604
       + b1751 + b1832 + b1885 + b1976 + b2188 + b2258 + b2315 + b2417 + b2531
       + b2620 + b2711 + b2835 + b3299 + b3349 + b3355 + b3400 + b3620 + b3631
       + b3671 + b3833 + b3939 + b4091 + b4129 + b4230 + b4306 + b4444 + b4500
       + b4649 + b4670 + b4799 + b4960 + b5059 + b5167 + b5252 + b5266 + b6080
       + b6123 + b6217 + b6236 + b6260 + b6272 + b6273 + b6463 + b6498 + b6517
       + b6538 + b6809 + b6933 + b6970 + b6971 + b7191 + b7206 + b7382 + b7753
       + b7754 + b7946 + b8208 + b8333 + b8373 + b8485 + b8487 + b8753 + b8759
       + b8817 + b8882 = 1;

e460:    b53 + b81 + b157 + b181 + b214 + b234 + b262 + b270 + b305 + b317
       + b375 + b427 + b434 + b492 + b497 + b830 + b867 + b970 + b1038 + b1052
       + b1104 + b1119 + b1194 + b1326 + b1342 + b1407 + b1452 + b1499 + b1565
       + b1588 + b1682 + b1695 + b1734 + b1760 + b1799 + b1855 + b1860 + b1906
       + b1933 + b1946 + b1969 + b2035 + b2101 + b2207 + b2234 + b2311 + b2357
       + b2592 + b2696 + b2709 + b2845 + b2859 + b2875 + b2880 + b2971 + b2990
       + b3296 + b3347 + b3363 + b3419 + b3604 + b3702 + b3731 + b3813 + b3866
       + b3945 + b4148 + b4205 + b4289 + b4365 + b4433 + b4531 + b4532 + b4540
       + b4584 + b4824 + b4886 + b4897 + b4950 + b4956 + b4963 + b4971 + b4993
       + b5206 + b5365 + b5394 + b5447 + b5469 + b5512 + b5533 + b5669 + b5709
       + b5717 + b5734 + b5858 + b5891 + b5942 + b5944 + b5955 + b5986 + b6003
       + b6034 + b6043 + b6087 + b6145 + b6152 + b6179 + b6191 + b6247 + b6478
       + b6566 + b6585 + b6674 + b6699 + b6705 + b6717 + b6742 + b6750 + b7076
       + b7186 + b7221 + b7239 + b7279 + b7294 + b7295 + b7381 + b7419 + b7515
       + b7582 + b7647 + b7673 + b7773 + b7778 + b7792 + b7985 + b7996 + b8004
       + b8033 + b8053 + b8077 + b8134 + b8211 + b8238 + b8257 + b8302 + b8335
       + b8415 + b8511 + b8643 + b8831 + b8841 = 1;

e461:    b53 + b157 + b214 + b234 + b262 + b270 + b305 + b317 + b375 + b416
       + b427 + b434 + b492 + b643 + b684 + b830 + b867 + b970 + b1038 + b1052
       + b1119 + b1158 + b1194 + b1326 + b1407 + b1486 + b1499 + b1588 + b1695
       + b1734 + b1735 + b1760 + b1811 + b1846 + b1855 + b1860 + b1906 + b1969
       + b2035 + b2077 + b2091 + b2101 + b2211 + b2234 + b2256 + b2261 + b2311
       + b2592 + b2696 + b2709 + b2812 + b2845 + b2859 + b2875 + b2945 + b2958
       + b2990 + b3002 + b3020 + b3256 + b3296 + b3304 + b3347 + b3363 + b3369
       + b3388 + b3419 + b3452 + b3469 + b3597 + b3702 + b3731 + b3747 + b3813
       + b3944 + b3945 + b3946 + b4058 + b4074 + b4148 + b4161 + b4165 + b4359
       + b4365 + b4433 + b4532 + b4540 + b4824 + b4886 + b4897 + b4950 + b4956
       + b4963 + b4971 + b4993 + b5047 + b5048 + b5076 + b5206 + b5262 + b5275
       + b5394 + b5423 + b5428 + b5469 + b5512 + b5533 + b5559 + b5717 + b5734
       + b5858 + b5944 + b5955 + b6003 + b6005 + b6034 + b6043 + b6087 + b6119
       + b6179 + b6191 + b6247 + b6254 + b6294 + b6320 + b6413 + b6566 + b6573
       + b6585 + b6699 + b6705 + b6717 + b6742 + b6747 + b6905 + b7085 + b7186
       + b7221 + b7243 + b7286 + b7321 + b7509 + b7647 + b7658 + b7673 + b7732
       + b7772 + b7773 + b7778 + b7792 + b7996 + b8033 + b8053 + b8134 + b8211
       + b8238 + b8257 + b8292 + b8415 + b8511 + b8575 + b8611 + b8649 + b8792
       + b8831 + b8836 + b8841 = 1;

e462:    b157 + b3296 + b3486 + b5760 + b5860 + b5955 + b6005 + b6413 + b6525
       + b7885 + b7999 + b8555 + b8589 = 1;

e463:    b157 + b3296 + b3486 + b5760 + b5860 + b5955 + b6005 + b6413 + b6525
       + b7885 + b7999 + b8555 + b8589 = 1;

e464:    b214 + b262 + b291 + b416 + b435 + b659 + b885 + b957 + b1001 + b1020
       + b1030 + b1048 + b1158 + b1396 + b1427 + b1671 + b1838 + b1845 + b1855
       + b2101 + b2196 + b2234 + b2318 + b2468 + b2521 + b2574 + b2578 + b2592
       + b2597 + b2599 + b2623 + b2709 + b2779 + b2807 + b3117 + b3134 + b3304
       + b3359 + b3360 + b3367 + b3702 + b3764 + b3769 + b3874 + b3944 + b3945
       + b4126 + b4142 + b4150 + b4674 + b4706 + b4805 + b4833 + b4908 + b4971
       + b5203 + b5250 + b5338 + b5364 + b5407 + b5477 + b5481 + b5578 + b5760
       + b5870 + b5937 + b5955 + b6005 + b6037 + b6119 + b6125 + b6129 + b6280
       + b6294 + b6371 + b6413 + b6426 + b6525 + b6778 + b6893 + b6905 + b7011
       + b7063 + b7162 + b7186 + b7221 + b7314 + b7465 + b7633 + b7650 + b7761
       + b7777 + b7784 + b7785 + b7885 + b7999 + b8110 + b8263 + b8331 + b8363
       + b8368 + b8555 + b8583 + b8725 = 1;

e465:    b214 + b262 + b291 + b416 + b435 + b659 + b882 + b885 + b957 + b1001
       + b1020 + b1030 + b1048 + b1149 + b1158 + b1182 + b1375 + b1396 + b1427
       + b1671 + b1838 + b1845 + b1855 + b2056 + b2101 + b2196 + b2234 + b2318
       + b2468 + b2521 + b2522 + b2574 + b2578 + b2592 + b2597 + b2599 + b2623
       + b2666 + b2709 + b2779 + b2807 + b3032 + b3117 + b3134 + b3165 + b3304
       + b3359 + b3360 + b3367 + b3614 + b3702 + b3764 + b3769 + b3854 + b3870
       + b3874 + b3944 + b3945 + b4126 + b4142 + b4150 + b4472 + b4674 + b4706
       + b4805 + b4833 + b4908 + b4971 + b5203 + b5250 + b5338 + b5364 + b5407
       + b5429 + b5477 + b5481 + b5571 + b5578 + b5729 + b5760 + b5870 + b5910
       + b5937 + b5955 + b5958 + b6005 + b6037 + b6119 + b6125 + b6129 + b6280
       + b6282 + b6294 + b6371 + b6413 + b6426 + b6460 + b6505 + b6525 + b6671
       + b6778 + b6860 + b6893 + b6905 + b6947 + b6961 + b7011 + b7063 + b7064
       + b7065 + b7162 + b7186 + b7221 + b7314 + b7465 + b7633 + b7650 + b7761
       + b7777 + b7784 + b7785 + b7885 + b7999 + b8014 + b8110 + b8263 + b8331
       + b8363 + b8368 + b8555 + b8583 + b8725 = 1;

e466:    b26 + b157 + b250 + b291 + b335 + b434 + b522 + b539 + b610 + b639
       + b659 + b745 + b807 + b838 + b867 + b885 + b938 + b957 + b1001 + b1030
       + b1034 + b1096 + b1116 + b1138 + b1144 + b1194 + b1265 + b1311 + b1375
       + b1426 + b1427 + b1440 + b1467 + b1515 + b1519 + b1638 + b1660 + b1677
       + b1796 + b1838 + b1845 + b2033 + b2045 + b2066 + b2111 + b2196 + b2469
       + b2510 + b2521 + b2578 + b2591 + b2592 + b2599 + b2635 + b2655 + b2666
       + b2673 + b2732 + b2807 + b2864 + b2865 + b2937 + b3024 + b3034 + b3117
       + b3134 + b3139 + b3204 + b3240 + b3288 + b3296 + b3350 + b3359 + b3360
       + b3367 + b3369 + b3486 + b3729 + b3819 + b3870 + b4126 + b4150 + b4191
       + b4202 + b4289 + b4511 + b4706 + b4806 + b4828 + b4833 + b4857 + b4897
       + b4898 + b4908 + b5245 + b5250 + b5292 + b5306 + b5338 + b5422 + b5433
       + b5456 + b5477 + b5481 + b5495 + b5525 + b5544 + b5709 + b5729 + b5760
       + b5762 + b5794 + b5819 + b5910 + b5921 + b5926 + b5937 + b5955 + b6005
       + b6029 + b6037 + b6107 + b6129 + b6183 + b6262 + b6270 + b6280 + b6281
       + b6371 + b6394 + b6413 + b6426 + b6525 + b6644 + b6668 + b6860 + b6920
       + b6944 + b6948 + b6959 + b7011 + b7055 + b7064 + b7088 + b7098 + b7162
       + b7204 + b7272 + b7360 + b7362 + b7398 + b7465 + b7643 + b7647 + b7650
       + b7691 + b7705 + b7777 + b7778 + b7784 + b7792 + b7809 + b7885 + b7919
       + b7922 + b7999 + b8000 + b8110 + b8200 + b8263 + b8287 + b8406 + b8511
       + b8555 + b8725 + b8836 = 1;

e467:    b26 + b157 + b250 + b291 + b335 + b415 + b434 + b522 + b539 + b610
       + b639 + b659 + b745 + b807 + b838 + b867 + b885 + b938 + b957 + b1001
       + b1030 + b1034 + b1096 + b1116 + b1138 + b1144 + b1194 + b1265 + b1311
       + b1375 + b1426 + b1427 + b1440 + b1467 + b1515 + b1519 + b1638 + b1660
       + b1677 + b1796 + b1838 + b1845 + b2033 + b2045 + b2066 + b2111 + b2196
       + b2469 + b2510 + b2521 + b2578 + b2591 + b2592 + b2599 + b2635 + b2643
       + b2655 + b2666 + b2673 + b2732 + b2807 + b2864 + b2865 + b2937 + b2970
       + b3024 + b3034 + b3117 + b3134 + b3139 + b3204 + b3240 + b3288 + b3296
       + b3350 + b3359 + b3360 + b3367 + b3369 + b3486 + b3729 + b3819 + b3870
       + b4126 + b4150 + b4191 + b4202 + b4289 + b4511 + b4706 + b4806 + b4828
       + b4833 + b4857 + b4858 + b4897 + b4898 + b4908 + b5245 + b5250 + b5292
       + b5306 + b5338 + b5422 + b5433 + b5456 + b5477 + b5481 + b5495 + b5525
       + b5544 + b5709 + b5729 + b5760 + b5762 + b5794 + b5819 + b5910 + b5921
       + b5926 + b5937 + b5955 + b6005 + b6029 + b6107 + b6129 + b6183 + b6262
       + b6270 + b6280 + b6281 + b6371 + b6394 + b6413 + b6426 + b6525 + b6644
       + b6668 + b6860 + b6920 + b6944 + b6948 + b6959 + b7011 + b7055 + b7064
       + b7088 + b7098 + b7162 + b7204 + b7272 + b7360 + b7362 + b7465 + b7643
       + b7647 + b7691 + b7705 + b7777 + b7778 + b7784 + b7792 + b7809 + b7868
       + b7885 + b7919 + b7922 + b7999 + b8000 + b8110 + b8200 + b8263 + b8287
       + b8406 + b8511 + b8555 + b8725 + b8836 = 1;

e468:    b5 + b225 + b398 + b533 + b755 + b979 + b1249 + b1502 + b1521 + b1532
       + b1737 + b1827 + b1859 + b1943 + b2088 + b2119 + b2189 + b2227 + b2235
       + b2237 + b2248 + b2306 + b2537 + b2539 + b2560 + b2576 + b2805 + b3222
       + b3260 + b3378 + b3640 + b3809 + b4065 + b4130 + b4164 + b4182 + b4290
       + b4523 + b4587 + b4703 + b4716 + b4797 + b4800 + b5212 + b5445 + b5532
       + b5537 + b5605 + b5706 + b5798 + b5809 + b5905 + b5995 + b6227 + b6232
       + b6298 + b6308 + b6382 + b6559 + b6580 + b6639 + b6694 + b6741 + b7035
       + b7050 + b7112 + b7138 + b7146 + b7230 + b7475 + b7476 + b7616 + b7664
       + b7752 + b7882 + b7902 + b8109 + b8488 + b8600 + b8721 + b8736 + b8849
       + b8852 + b8864 = 1;

e469:    b5 + b225 + b379 + b398 + b533 + b755 + b979 + b1249 + b1502 + b1521
       + b1737 + b1827 + b1859 + b1943 + b2088 + b2119 + b2189 + b2227 + b2235
       + b2248 + b2306 + b2537 + b2539 + b2560 + b2576 + b2619 + b2805 + b3143
       + b3222 + b3260 + b3378 + b3640 + b3809 + b4065 + b4130 + b4164 + b4182
       + b4290 + b4523 + b4587 + b4703 + b4716 + b4797 + b4800 + b5212 + b5384
       + b5445 + b5532 + b5537 + b5605 + b5706 + b5798 + b5809 + b5905 + b5995
       + b6227 + b6298 + b6308 + b6382 + b6559 + b6580 + b6595 + b6609 + b6639
       + b6694 + b6741 + b7035 + b7050 + b7112 + b7138 + b7146 + b7230 + b7475
       + b7476 + b7616 + b7649 + b7664 + b7752 + b7882 + b7902 + b8488 + b8600
       + b8721 + b8736 + b8849 + b8852 + b8864 = 1;

e470:    b360 + b398 + b755 + b1036 + b1502 + b1521 + b1610 + b2117 + b2248
       + b2560 + b2739 + b3222 + b3378 + b3640 + b3871 + b4130 + b4523 + b4703
       + b5532 + b5567 + b5905 + b5975 + b6298 + b6308 + b6350 + b6559 + b6694
       + b6741 + b6987 + b7107 + b7112 + b8275 = 1;

e471:    b360 + b398 + b755 + b1036 + b1504 + b1521 + b1610 + b2117 + b2119
       + b2179 + b2560 + b2739 + b3141 + b3378 + b3640 + b3871 + b4130 + b4353
       + b4523 + b5392 + b5532 + b5567 + b5905 + b6308 + b6350 + b6559 + b6694
       + b6741 + b6987 + b7112 + b8275 + b8856 = 1;

e472:    b360 + b398 + b432 + b485 + b755 + b800 + b979 + b1036 + b1521 + b1610
       + b1841 + b1859 + b2072 + b2179 + b2235 + b2296 + b2344 + b2422 + b2649
       + b2726 + b2739 + b2805 + b3141 + b3222 + b3260 + b3378 + b3439 + b3763
       + b3871 + b4177 + b4434 + b4459 + b5231 + b5285 + b5346 + b5374 + b5380
       + b5392 + b5445 + b5479 + b5513 + b5567 + b5853 + b6256 + b6350 + b6473
       + b6559 + b6694 + b6987 + b7771 + b8015 + b8039 + b8188 + b8212 + b8275
       + b8488 + b8508 + b8721 + b8856 = 1;

e473:    b360 + b398 + b485 + b755 + b800 + b979 + b1036 + b1521 + b1610
       + b1841 + b2072 + b2179 + b2235 + b2296 + b2344 + b2422 + b2649 + b2739
       + b2805 + b3141 + b3222 + b3260 + b3378 + b3439 + b3763 + b3871 + b4177
       + b4434 + b4459 + b5231 + b5285 + b5346 + b5374 + b5380 + b5392 + b5445
       + b5479 + b5513 + b5567 + b5853 + b6256 + b6350 + b6473 + b6559 + b6694
       + b6987 + b7771 + b8015 + b8039 + b8212 + b8275 + b8488 + b8508 + b8721
       + b8856 = 1;

e474:    b110 + b165 + b281 + b311 + b324 + b342 + b432 + b551 + b583 + b643
       + b713 + b875 + b887 + b1007 + b1021 + b1039 + b1052 + b1130 + b1246
       + b1345 + b1456 + b1540 + b1674 + b1760 + b1859 + b1931 + b2049 + b2151
       + b2201 + b2243 + b2280 + b2531 + b2599 + b2726 + b2837 + b2853 + b3001
       + b3133 + b3193 + b3310 + b3353 + b3489 + b3624 + b4006 + b4253 + b4359
       + b4374 + b4539 + b4563 + b4753 + b4788 + b4994 + b5059 + b5171 + b5177
       + b5351 + b5446 + b5469 + b5748 + b5767 + b5821 + b5996 + b6099 + b6177
       + b6351 + b6355 + b6384 + b6438 + b6467 + b6471 + b6476 + b6621 + b6628
       + b6662 + b6701 + b6749 + b6890 + b7021 + b7050 + b7322 + b7344 + b7391
       + b7617 + b7627 + b7702 + b7780 + b8009 + b8079 + b8121 + b8307 + b8374
       + b8408 + b8508 + b8694 + b8700 + b8757 = 1;

e475:    b110 + b165 + b281 + b311 + b324 + b342 + b432 + b551 + b643 + b875
       + b887 + b1021 + b1039 + b1052 + b1130 + b1246 + b1345 + b1456 + b1540
       + b1674 + b1760 + b1859 + b1931 + b2049 + b2151 + b2201 + b2243 + b2280
       + b2531 + b2599 + b2726 + b3001 + b3133 + b3193 + b3310 + b3353 + b3489
       + b3624 + b4006 + b4253 + b4359 + b4374 + b4539 + b4753 + b4788 + b4994
       + b5059 + b5351 + b5446 + b5469 + b5767 + b5821 + b5996 + b6099 + b6177
       + b6351 + b6384 + b6438 + b6467 + b6471 + b6476 + b6621 + b6628 + b6662
       + b6701 + b6749 + b6890 + b7021 + b7050 + b7322 + b7627 + b7702 + b7780
       + b8009 + b8121 + b8307 + b8374 + b8408 + b8508 + b8700 + b8757 = 1;

e476:    b110 + b114 + b281 + b311 + b324 + b342 + b432 + b643 + b755 + b923
       + b1323 + b1540 + b1674 + b1734 + b1735 + b1760 + b2047 + b2243 + b2315
       + b2323 + b2338 + b2430 + b2726 + b2958 + b3123 + b3133 + b3141 + b3193
       + b3310 + b3521 + b4164 + b4253 + b4359 + b4500 + b4563 + b4723 + b4788
       + b5231 + b5285 + b5314 + b5351 + b5380 + b5392 + b5446 + b5821 + b5996
       + b6084 + b6087 + b6099 + b6107 + b6152 + b6179 + b6191 + b6233 + b6438
       + b6471 + b6529 + b6577 + b6621 + b6662 + b6749 + b6795 + b6890 + b7021
       + b7243 + b7321 + b7627 + b7702 + b7930 + b8015 + b8121 + b8307 + b8323
       + b8508 + b8700 + b8757 = 1;

e477:    b110 + b114 + b281 + b311 + b324 + b342 + b432 + b643 + b755 + b923
       + b1323 + b1540 + b1674 + b1734 + b1735 + b1760 + b2047 + b2243 + b2315
       + b2323 + b2338 + b2430 + b2726 + b2958 + b3123 + b3133 + b3141 + b3193
       + b3310 + b3521 + b4164 + b4253 + b4359 + b4500 + b4563 + b4723 + b4788
       + b5231 + b5285 + b5314 + b5351 + b5380 + b5392 + b5446 + b5821 + b5996
       + b6084 + b6087 + b6099 + b6107 + b6152 + b6179 + b6191 + b6233 + b6438
       + b6471 + b6529 + b6577 + b6621 + b6662 + b6749 + b6795 + b6890 + b7021
       + b7243 + b7321 + b7627 + b7702 + b7930 + b8015 + b8121 + b8169 + b8307
       + b8323 + b8508 + b8700 + b8757 = 1;

e478:    b74 + b86 + b114 + b202 + b281 + b311 + b342 + b432 + b617 + b1281
       + b1323 + b1638 + b1734 + b1735 + b2047 + b2243 + b2312 + b2315 + b2323
       + b2338 + b2390 + b2394 + b2666 + b3133 + b3141 + b3310 + b3521 + b3839
       + b3886 + b3901 + b3928 + b3932 + b4065 + b4073 + b4359 + b4500 + b4505
       + b4534 + b4563 + b4587 + b4882 + b5020 + b5048 + b5095 + b5176 + b5231
       + b5285 + b5314 + b5351 + b5380 + b5644 + b5821 + b5910 + b5996 + b6027
       + b6084 + b6087 + b6107 + b6117 + b6152 + b6193 + b6220 + b6227 + b6308
       + b6433 + b6438 + b6529 + b6621 + b6662 + b6704 + b6773 + b6795 + b6807
       + b6890 + b7021 + b7105 + b7237 + b7321 + b7417 + b7811 + b7930 + b8367
       + b8700 + b8757 = 1;

e479:    b183 + b202 + b342 + b365 + b432 + b451 + b549 + b583 + b620 + b728
       + b1115 + b1376 + b1472 + b1638 + b1734 + b1735 + b1984 + b2025 + b2044
       + b2169 + b2243 + b2281 + b2315 + b2323 + b2424 + b2533 + b2611 + b2691
       + b2726 + b2837 + b2853 + b2873 + b3133 + b3144 + b3286 + b3521 + b3592
       + b3604 + b3901 + b3932 + b4065 + b4212 + b4428 + b4500 + b4505 + b4563
       + b4635 + b4708 + b4882 + b5020 + b5033 + b5062 + b5095 + b5171 + b5176
       + b5231 + b5285 + b5314 + b5380 + b5476 + b5735 + b5821 + b5891 + b6087
       + b6117 + b6152 + b6167 + b6193 + b6220 + b6227 + b6308 + b6402 + b6438
       + b6529 + b6621 + b6704 + b6755 + b6826 + b6838 + b6875 + b6978 + b7021
       + b7086 + b7237 + b7257 + b7344 + b7811 + b8079 + b8149 + b8621 + b8675
       + b8757 = 1;

e480:    b40 + b43 + b155 + b183 + b190 + b357 + b398 + b424 + b432 + b451
       + b583 + b620 + b1006 + b1007 + b1021 + b1029 + b1046 + b1115 + b1237
       + b1355 + b1376 + b1472 + b1491 + b1734 + b1735 + b1816 + b1854 + b1984
       + b1986 + b2025 + b2044 + b2087 + b2169 + b2258 + b2280 + b2281 + b2315
       + b2374 + b2427 + b2531 + b2533 + b2691 + b2718 + b2726 + b2837 + b2853
       + b2873 + b2889 + b3144 + b3324 + b3355 + b3374 + b3397 + b3439 + b3446
       + b3551 + b3592 + b3601 + b3604 + b3669 + b3687 + b3728 + b3901 + b4035
       + b4212 + b4406 + b4505 + b4563 + b4615 + b4635 + b4708 + b4859 + b4882
       + b4997 + b5020 + b5171 + b5176 + b5212 + b5314 + b5380 + b5428 + b5441
       + b5476 + b5491 + b5634 + b5735 + b5747 + b5748 + b5834 + b6117 + b6152
       + b6167 + b6193 + b6292 + b6308 + b6402 + b6529 + b6621 + b6704 + b6808
       + b6826 + b6838 + b6875 + b6879 + b6895 + b6933 + b6970 + b6978 + b7086
       + b7095 + b7138 + b7237 + b7270 + b7296 + b7344 + b7391 + b7394 + b7703
       + b7750 + b7811 + b7878 + b7942 + b8079 + b8149 + b8351 + b8513 + b8621
       + b8694 = 1;

e481:    b40 + b43 + b155 + b183 + b190 + b357 + b398 + b424 + b432 + b451
       + b583 + b620 + b1006 + b1007 + b1021 + b1029 + b1046 + b1115 + b1237
       + b1355 + b1376 + b1472 + b1491 + b1734 + b1735 + b1816 + b1854 + b1984
       + b1986 + b2025 + b2044 + b2087 + b2169 + b2258 + b2280 + b2281 + b2315
       + b2374 + b2427 + b2531 + b2533 + b2599 + b2691 + b2718 + b2726 + b2837
       + b2853 + b2873 + b2889 + b3144 + b3324 + b3355 + b3374 + b3397 + b3439
       + b3446 + b3551 + b3592 + b3601 + b3604 + b3669 + b3687 + b3728 + b3901
       + b4035 + b4212 + b4406 + b4505 + b4563 + b4615 + b4635 + b4708 + b4833
       + b4859 + b4882 + b4997 + b5020 + b5171 + b5176 + b5212 + b5314 + b5380
       + b5428 + b5441 + b5476 + b5491 + b5634 + b5735 + b5747 + b5748 + b5834
       + b6117 + b6152 + b6167 + b6193 + b6292 + b6308 + b6402 + b6529 + b6621
       + b6704 + b6808 + b6826 + b6838 + b6875 + b6879 + b6895 + b6933 + b6970
       + b6978 + b7086 + b7095 + b7138 + b7237 + b7270 + b7296 + b7344 + b7391
       + b7394 + b7703 + b7750 + b7811 + b7878 + b7942 + b8079 + b8149 + b8351
       + b8513 + b8621 + b8694 = 1;

e482:    b16 + b40 + b242 + b260 + b482 + b556 + b611 + b765 + b868 + b875
       + b923 + b1252 + b1294 + b1365 + b1388 + b1910 + b1992 + b2041 + b2226
       + b2324 + b2545 + b2587 + b2745 + b2750 + b2769 + b2796 + b2993 + b3100
       + b3123 + b3252 + b3290 + b3577 + b3621 + b3631 + b4069 + b4278 + b4283
       + b4319 + b4337 + b4563 + b4798 + b4979 + b5025 + b5026 + b5037 + b5164
       + b5281 + b5314 + b5587 + b5741 + b5854 + b5875 + b6187 + b6336 + b6399
       + b6520 + b6541 + b6579 + b6996 + b7176 + b7292 + b7543 + b7610 + b7714
       + b7839 + b7847 + b7962 + b8140 + b8288 + b8753 + b8788 + b8848 + b8878
       + b8889 = 1;

e483:    b16 + b40 + b242 + b260 + b482 + b556 + b611 + b765 + b868 + b875
       + b923 + b1252 + b1294 + b1365 + b1388 + b1910 + b1992 + b2041 + b2226
       + b2324 + b2545 + b2587 + b2745 + b2750 + b2769 + b2796 + b2993 + b3100
       + b3123 + b3252 + b3290 + b3577 + b3621 + b3631 + b4069 + b4278 + b4319
       + b4337 + b4563 + b4798 + b4979 + b5025 + b5026 + b5037 + b5164 + b5281
       + b5314 + b5587 + b5741 + b5854 + b5875 + b6187 + b6336 + b6399 + b6520
       + b6541 + b6579 + b6996 + b7176 + b7292 + b7610 + b7714 + b7839 + b7847
       + b7962 + b8140 + b8288 + b8753 + b8788 + b8848 + b8878 + b8889 = 1;

e484:    b16 + b129 + b283 + b318 + b482 + b875 + b923 + b1252 + b1322 + b1365
       + b1388 + b1595 + b1910 + b2129 + b2362 + b2426 + b2508 + b2512 + b2545
       + b2554 + b2587 + b2745 + b2769 + b3100 + b3548 + b3577 + b4069 + b4278
       + b4707 + b4775 + b4783 + b4798 + b4979 + b5727 + b5741 + b5854 + b5885
       + b6187 + b6229 + b6273 + b6399 + b6465 + b7019 + b7176 + b7395 + b7847
       + b7962 + b8018 + b8140 + b8487 + b8492 + b8514 + b8568 + b8692 = 1;

e485:    b16 + b129 + b318 + b482 + b875 + b923 + b1252 + b1365 + b1388 + b1595
       + b1910 + b2129 + b2362 + b2426 + b2508 + b2512 + b2545 + b2554 + b2587
       + b2745 + b2769 + b3100 + b3333 + b3548 + b3577 + b3709 + b4069 + b4278
       + b4299 + b4337 + b4575 + b4707 + b4775 + b4979 + b5727 + b5741 + b5854
       + b5885 + b5897 + b6399 + b6425 + b6465 + b6597 + b7019 + b7176 + b7847
       + b7962 + b8140 + b8492 + b8514 + b8692 + b8863 + b8889 = 1;

e486:    b16 + b129 + b318 + b419 + b875 + b1388 + b1595 + b1910 + b2129
       + b2545 + b2554 + b2587 + b3384 + b3385 + b3394 + b3577 + b4069 + b4299
       + b4337 + b4380 + b4775 + b4874 + b4885 + b5587 + b5727 + b5741 + b5854
       + b5897 + b6597 + b7019 + b7791 + b7847 + b7962 + b8089 + b8140 + b8514
       + b8802 + b8863 + b8889 = 1;

e487:    b16 + b129 + b419 + b875 + b947 + b1185 + b1228 + b1388 + b1568
       + b1595 + b2129 + b2209 + b2587 + b3384 + b3394 + b3473 + b3577 + b3621
       + b4057 + b4299 + b4318 + b4337 + b4417 + b4775 + b4874 + b5025 + b5587
       + b5727 + b5741 + b5763 + b5854 + b6541 + b6558 + b6569 + b6597 + b6600
       + b6665 + b7019 + b7292 + b7401 + b7460 + b7510 + b7774 + b7830 + b7847
       + b7953 + b7962 + b8089 + b8133 + b8140 + b8775 + b8802 + b8803 + b8854
       + b8863 + b8866 + b8877 = 1;

e488:    b16 + b129 + b180 + b253 + b304 + b306 + b419 + b482 + b499 + b565
       + b923 + b927 + b1384 + b2034 + b2075 + b2085 + b2129 + b2474 + b2554
       + b2769 + b2787 + b2796 + b2891 + b2996 + b3103 + b3123 + b3168 + b3178
       + b3253 + b3299 + b3368 + b3384 + b3642 + b3673 + b4091 + b4157 + b4283
       + b4299 + b4690 + b4707 + b4790 + b5025 + b5102 + b5164 + b5311 + b5396
       + b5409 + b5459 + b5502 + b5657 + b6063 + b6291 + b6398 + b6455 + b6456
       + b6579 + b6600 + b6749 + b6863 + b6956 + b7019 + b7310 + b7332 + b7539
       + b7543 + b7818 + b7953 + b8089 + b8156 + b8492 + b8640 + b8656 + b8672
       + b8683 + b8762 + b8802 + b8803 = 1;

e489:    b16 + b129 + b180 + b306 + b482 + b499 + b923 + b996 + b1384 + b1411
       + b1919 + b2034 + b2085 + b2097 + b2129 + b2197 + b2474 + b2512 + b2550
       + b2745 + b2750 + b2769 + b2787 + b2796 + b3123 + b3178 + b3237 + b3253
       + b3299 + b3384 + b3642 + b4157 + b4283 + b4299 + b4319 + b4320 + b4338
       + b4707 + b4776 + b5016 + b5102 + b5311 + b5459 + b5657 + b5763 + b6291
       + b6398 + b6455 + b6579 + b6749 + b6907 + b6990 + b7019 + b7119 + b7176
       + b7310 + b7443 + b7543 + b7726 + b7791 + b7953 + b8140 + b8156 + b8594
       + b8640 + b8656 + b8672 + b8771 + b8863 + b8887 = 1;

e490:    b803 + b982 + b1563 + b1936 + b2129 + b2323 + b2408 + b2776 + b2803
       + b3144 + b3496 + b3530 + b3535 + b3676 + b4133 + b4464 + b5084 + b5466
       + b5727 + b5921 + b6043 + b6465 + b6810 + b7231 + b7945 + b7962 + b8030
       + b8088 + b8539 + b8692 + b8778 = 1;

e491:    b803 + b982 + b1563 + b2129 + b2323 + b2408 + b3535 + b3676 + b4133
       + b4464 + b5084 + b5466 + b5727 + b5921 + b6043 + b6465 + b6810 + b7231
       + b7945 + b7962 + b8030 + b8088 + b8692 + b8778 = 1;

e492:    b261 + b803 + b1514 + b1599 + b1872 + b2508 + b2984 + b3024 + b3593
       + b4464 + b4770 + b5188 + b6862 + b7231 + b7405 + b7945 + b8539 + b8766
       + b8778 = 1;

e493:    b261 + b803 + b1514 + b1599 + b1872 + b2508 + b2984 + b3024 + b3593
       + b4243 + b4464 + b4770 + b5188 + b6862 + b7231 + b7405 + b8539 + b8766
       + b8778 = 1;

e494:    b127 + b261 + b734 + b746 + b836 + b1599 + b2408 + b2755 + b2984
       + b3593 + b4464 + b4675 + b5068 + b5196 + b5466 + b6943 + b7516 + b7785
       + b8766 = 1;

e495:    b127 + b261 + b734 + b746 + b836 + b920 + b1599 + b1653 + b1779
       + b2408 + b2755 + b2984 + b3593 + b3925 + b4464 + b4675 + b4712 + b5068
       + b5196 + b5296 + b5466 + b6943 + b6964 + b7516 + b7785 + b8229 + b8766
       = 1;

e496:    b2 + b37 + b110 + b261 + b746 + b1404 + b1599 + b1694 + b1872 + b2022
       + b2583 + b2778 + b2984 + b3535 + b3593 + b3813 + b4281 + b4464 + b4770
       + b4996 + b5068 + b5188 + b5791 + b6795 + b7051 + b7218 + b7405 + b7516
       + b7785 + b8539 + b8766 = 1;

e497:    b2 + b37 + b110 + b261 + b746 + b1404 + b1599 + b1694 + b1872 + b2022
       + b2583 + b2778 + b2984 + b3535 + b3593 + b3813 + b4281 + b4464 + b4770
       + b4996 + b5068 + b5188 + b5791 + b6795 + b7051 + b7218 + b7405 + b7516
       + b7785 + b8539 + b8766 = 1;

e498:    b114 + b201 + b305 + b314 + b415 + b468 + b487 + b655 + b760 + b808
       + b1034 + b1070 + b1128 + b1147 + b1317 + b1378 + b1508 + b1537 + b1584
       + b1585 + b1588 + b1674 + b1719 + b1744 + b1894 + b2118 + b2177 + b2240
       + b2311 + b2338 + b2623 + b2739 + b2933 + b2952 + b3011 + b3028 + b3042
       + b3053 + b3069 + b3070 + b3075 + b3295 + b3347 + b3364 + b3818 + b3830
       + b3898 + b3977 + b4130 + b4136 + b4179 + b4234 + b4431 + b4462 + b4469
       + b4528 + b4858 + b4988 + b5012 + b5032 + b5079 + b5125 + b5203 + b5222
       + b5247 + b5289 + b5294 + b5340 + b5561 + b5582 + b5946 + b6007 + b6099
       + b6296 + b6337 + b6348 + b6350 + b6568 + b6723 + b7108 + b7282 + b7377
       + b7501 + b7704 + b7725 + b7903 + b8200 + b8210 + b8211 + b8230 + b8307
       + b8323 + b8507 + b8630 + b8666 + b8695 + b8808 + b8853 + b8858 + b8902
       = 1;

e499:    b114 + b201 + b305 + b314 + b415 + b468 + b487 + b655 + b760 + b808
       + b1034 + b1070 + b1128 + b1147 + b1317 + b1378 + b1508 + b1584 + b1585
       + b1588 + b1674 + b1719 + b1744 + b1894 + b2118 + b2177 + b2240 + b2311
       + b2338 + b2623 + b2739 + b2916 + b2933 + b2952 + b3011 + b3028 + b3042
       + b3053 + b3069 + b3070 + b3075 + b3295 + b3347 + b3364 + b3818 + b3830
       + b3898 + b3977 + b4130 + b4136 + b4179 + b4234 + b4431 + b4462 + b4469
       + b4528 + b4625 + b4858 + b4988 + b5032 + b5079 + b5125 + b5203 + b5222
       + b5247 + b5289 + b5294 + b5340 + b5561 + b5582 + b5946 + b6007 + b6099
       + b6296 + b6337 + b6348 + b6350 + b6568 + b6723 + b7108 + b7282 + b7377
       + b7501 + b7704 + b7725 + b7903 + b8200 + b8210 + b8211 + b8230 + b8307
       + b8323 + b8507 + b8630 + b8666 + b8695 + b8808 + b8853 + b8858 + b8902
       = 1;

e500:    b53 + b201 + b415 + b454 + b468 + b485 + b655 + b808 + b830 + b1034
       + b1348 + b1563 + b1584 + b1744 + b1894 + b1904 + b2096 + b2118 + b2177
       + b2240 + b2289 + b2311 + b2653 + b2713 + b2739 + b2913 + b2916 + b2933
       + b3011 + b3042 + b3070 + b3364 + b3898 + b3977 + b4046 + b4136 + b4144
       + b4445 + b4540 + b4858 + b5125 + b5222 + b5299 + b5479 + b5921 + b5989
       + b6296 + b6337 + b6348 + b6864 + b7085 + b7123 + b7355 + b7377 + b7498
       + b7501 + b7647 + b7771 + b7914 + b8200 + b8210 + b8230 + b8507 + b8808
       = 1;

e501:    b53 + b361 + b454 + b459 + b460 + b468 + b485 + b487 + b655 + b808
       + b830 + b1034 + b1047 + b1128 + b1348 + b1485 + b1508 + b1563 + b1584
       + b1585 + b1643 + b1744 + b1894 + b1904 + b2118 + b2177 + b2240 + b2289
       + b2311 + b2423 + b2653 + b2701 + b2713 + b2739 + b2913 + b2916 + b2933
       + b2978 + b3011 + b3070 + b3151 + b3364 + b3818 + b3837 + b3898 + b4046
       + b4094 + b4136 + b4144 + b4296 + b4528 + b4540 + b4830 + b4894 + b5125
       + b5222 + b5294 + b5299 + b5464 + b5479 + b5921 + b5989 + b6015 + b6296
       + b6321 + b6337 + b6348 + b6783 + b7085 + b7106 + b7118 + b7123 + b7174
       + b7303 + b7377 + b7498 + b7501 + b7647 + b7771 + b7914 + b8200 + b8210
       + b8224 + b8230 + b8507 + b8579 + b8592 + b8615 + b8808 + b8853 = 1;

e502:    b226 + b336 + b356 + b444 + b830 + b891 + b900 + b1025 + b1348 + b1547
       + b1563 + b1630 + b1675 + b1803 + b2619 + b2847 + b2916 + b3364 + b3824
       + b3974 + b4046 + b4294 + b4624 + b4678 + b4808 + b4837 + b4901 + b4909
       + b4933 + b5194 + b5479 + b5503 + b5628 + b6201 + b6234 + b6310 + b6742
       + b6994 + b7085 + b7123 + b7254 + b7498 + b7562 + b7583 + b8363 + b8435
       + b8552 + b8579 + b8808 = 1;

e503:    b226 + b336 + b356 + b444 + b830 + b891 + b900 + b1025 + b1348 + b1547
       + b1563 + b1630 + b1675 + b1803 + b2619 + b2847 + b2916 + b3364 + b3824
       + b3974 + b4046 + b4294 + b4624 + b4678 + b4808 + b4837 + b4901 + b4909
       + b4933 + b5194 + b5479 + b5503 + b5628 + b6201 + b6234 + b6310 + b6742
       + b6994 + b7085 + b7123 + b7254 + b7498 + b7562 + b7583 + b8363 + b8435
       + b8552 + b8579 + b8808 = 1;

e504:    b226 + b336 + b356 + b444 + b830 + b891 + b900 + b1025 + b1348 + b1547
       + b1563 + b1675 + b1803 + b2619 + b2847 + b2916 + b3364 + b3974 + b4046
       + b4294 + b4624 + b4678 + b4808 + b4837 + b4901 + b4909 + b4933 + b5194
       + b5479 + b5503 + b5628 + b6201 + b6234 + b6310 + b6742 + b6994 + b7085
       + b7123 + b7254 + b7498 + b7556 + b7562 + b7583 + b8363 + b8435 + b8552
       + b8579 + b8808 = 1;

e505:    b23 + b26 + b57 + b114 + b120 + b250 + b272 + b283 + b335 + b427
       + b511 + b553 + b610 + b639 + b659 + b784 + b867 + b911 + b938 + b951
       + b1024 + b1029 + b1096 + b1116 + b1119 + b1216 + b1252 + b1260 + b1323
       + b1599 + b1602 + b1660 + b1674 + b1719 + b1760 + b1838 + b1840 + b1845
       + b1895 + b1910 + b1996 + b2063 + b2174 + b2338 + b2355 + b2376 + b2426
       + b2512 + b2555 + b2591 + b2592 + b2599 + b2643 + b2655 + b2713 + b2754
       + b2947 + b2958 + b2970 + b3024 + b3075 + b3192 + b3353 + b3355 + b3363
       + b3521 + b3652 + b3665 + b3820 + b3830 + b3836 + b3870 + b3886 + b3901
       + b3912 + b4101 + b4125 + b4157 + b4191 + b4253 + b4365 + b4520 + b4534
       + b4568 + b4706 + b4707 + b4792 + b4812 + b4833 + b4897 + b4898 + b4908
       + b5013 + b5102 + b5138 + b5306 + b5313 + b5433 + b5456 + b5525 + b5544
       + b5656 + b5665 + b5717 + b5729 + b5767 + b5781 + b5996 + b6027 + b6079
       + b6084 + b6095 + b6107 + b6177 + b6179 + b6191 + b6270 + b6280 + b6281
       + b6285 + b6336 + b6420 + b6471 + b6520 + b6644 + b6660 + b6720 + b6860
       + b6907 + b6948 + b7011 + b7028 + b7055 + b7130 + b7243 + b7321 + b7360
       + b7423 + b7465 + b7470 + b7561 + b7573 + b7704 + b7778 + b7833 + b7919
       + b7922 + b7984 + b7996 + b8000 + b8261 + b8303 + b8304 + b8323 + b8408
       + b8497 + b8514 + b8522 + b8594 + b8606 + b8783 + b8848 = 1;

e506:    b23 + b26 + b57 + b114 + b120 + b250 + b272 + b283 + b335 + b427
       + b511 + b553 + b610 + b639 + b659 + b784 + b867 + b911 + b938 + b951
       + b1024 + b1029 + b1096 + b1116 + b1119 + b1216 + b1252 + b1260 + b1323
       + b1599 + b1602 + b1660 + b1674 + b1719 + b1760 + b1838 + b1840 + b1845
       + b1895 + b1910 + b1996 + b2063 + b2174 + b2338 + b2355 + b2376 + b2426
       + b2512 + b2555 + b2591 + b2592 + b2643 + b2655 + b2713 + b2754 + b2947
       + b2958 + b2970 + b3024 + b3075 + b3192 + b3353 + b3355 + b3363 + b3521
       + b3652 + b3665 + b3820 + b3830 + b3836 + b3870 + b3886 + b3901 + b3912
       + b4101 + b4125 + b4157 + b4191 + b4253 + b4365 + b4520 + b4534 + b4568
       + b4706 + b4707 + b4792 + b4812 + b4897 + b4898 + b4908 + b5013 + b5102
       + b5138 + b5306 + b5313 + b5433 + b5456 + b5525 + b5544 + b5656 + b5665
       + b5717 + b5729 + b5767 + b5781 + b5996 + b6027 + b6079 + b6084 + b6095
       + b6107 + b6177 + b6179 + b6191 + b6270 + b6280 + b6281 + b6285 + b6336
       + b6420 + b6471 + b6520 + b6644 + b6660 + b6720 + b6860 + b6907 + b6948
       + b7011 + b7028 + b7055 + b7130 + b7243 + b7321 + b7360 + b7423 + b7465
       + b7470 + b7561 + b7573 + b7704 + b7778 + b7833 + b7919 + b7922 + b7984
       + b7996 + b8261 + b8303 + b8304 + b8323 + b8408 + b8497 + b8514 + b8522
       + b8594 + b8606 + b8783 + b8848 = 1;

e507:    b263 + b283 + b335 + b434 + b454 + b784 + b911 + b1119 + b1130 + b1260
       + b1602 + b1695 + b1719 + b1838 + b1840 + b1895 + b1995 + b2174 + b2355
       + b2555 + b2591 + b2859 + b2947 + b3002 + b3024 + b3347 + b3350 + b3353
       + b3363 + b3452 + b3731 + b3820 + b3836 + b3886 + b3912 + b3946 + b4101
       + b4148 + b4157 + b4191 + b4520 + b4568 + b4783 + b4792 + b5138 + b5252
       + b5262 + b5313 + b5469 + b5533 + b5542 + b5743 + b6043 + b6079 + b6177
       + b6270 + b6281 + b6285 + b6336 + b6421 + b6520 + b6720 + b7002 + b7011
       + b7028 + b7130 + b7360 + b7423 + b7471 + b7528 + b7573 + b7704 + b7772
       + b7778 + b7833 + b7919 + b8261 + b8303 + b8323 + b8408 + b8415 + b8497
       + b8594 + b8606 + b8611 = 1;

e508:    b263 + b283 + b306 + b335 + b369 + b454 + b911 + b995 + b1119 + b1130
       + b1260 + b1595 + b1656 + b1695 + b1719 + b1838 + b1995 + b2174 + b2545
       + b2555 + b2591 + b2794 + b2859 + b2947 + b3002 + b3024 + b3301 + b3347
       + b3353 + b3363 + b3452 + b3731 + b3886 + b3946 + b4148 + b4157 + b4191
       + b4775 + b4779 + b4783 + b4790 + b5138 + b5252 + b5262 + b5313 + b5469
       + b5533 + b5875 + b5897 + b6043 + b6078 + b6177 + b6281 + b6336 + b6421
       + b6520 + b6538 + b6720 + b6990 + b7002 + b7011 + b7130 + b7360 + b7471
       + b7528 + b7573 + b7704 + b7772 + b7833 + b7930 + b7967 + b8303 + b8323
       + b8408 + b8415 + b8514 + b8594 + b8606 + b8611 = 1;

e509:    b263 + b283 + b306 + b335 + b369 + b454 + b911 + b995 + b1119 + b1130
       + b1260 + b1595 + b1656 + b1695 + b1719 + b1838 + b1995 + b2174 + b2545
       + b2555 + b2591 + b2794 + b2859 + b2947 + b3002 + b3024 + b3301 + b3347
       + b3353 + b3363 + b3452 + b3731 + b3886 + b3946 + b4148 + b4157 + b4191
       + b4775 + b4779 + b4783 + b4790 + b5138 + b5252 + b5262 + b5313 + b5469
       + b5533 + b5875 + b5897 + b6043 + b6078 + b6177 + b6281 + b6336 + b6421
       + b6520 + b6538 + b6720 + b6990 + b7002 + b7011 + b7130 + b7360 + b7471
       + b7528 + b7573 + b7704 + b7772 + b7833 + b7930 + b7967 + b8303 + b8323
       + b8408 + b8415 + b8514 + b8594 + b8606 + b8611 = 1;

e510:    b263 + b283 + b306 + b335 + b369 + b454 + b911 + b995 + b1119 + b1130
       + b1260 + b1595 + b1656 + b1695 + b1719 + b1838 + b1995 + b2174 + b2545
       + b2555 + b2591 + b2794 + b2859 + b2947 + b3002 + b3024 + b3301 + b3347
       + b3353 + b3363 + b3452 + b3731 + b3886 + b3946 + b4148 + b4157 + b4191
       + b4775 + b4779 + b4783 + b4790 + b5138 + b5252 + b5262 + b5313 + b5469
       + b5533 + b5875 + b5897 + b6043 + b6078 + b6177 + b6281 + b6336 + b6421
       + b6520 + b6538 + b6720 + b6990 + b7002 + b7011 + b7130 + b7360 + b7471
       + b7528 + b7573 + b7704 + b7772 + b7833 + b7930 + b7967 + b8303 + b8323
       + b8408 + b8415 + b8514 + b8594 + b8606 + b8611 = 1;

e511:    b2 + b23 + b37 + b114 + b263 + b314 + b482 + b511 + b643 + b684 + b911
       + b951 + b996 + b1052 + b1070 + b1119 + b1130 + b1216 + b1238 + b1252
       + b1345 + b1407 + b1674 + b1695 + b1719 + b1760 + b1832 + b1885 + b1934
       + b1959 + b1969 + b1995 + b1996 + b2174 + b2226 + b2376 + b2426 + b2512
       + b2531 + b2555 + b2750 + b2796 + b2958 + b3290 + b3295 + b3299 + b3347
       + b3353 + b3355 + b3363 + b3830 + b3866 + b3886 + b3901 + b3946 + b3971
       + b4091 + b4157 + b4165 + b4191 + b4357 + b4359 + b4365 + b4581 + b4707
       + b4812 + b4979 + b5048 + b5059 + b5102 + b5138 + b5206 + b5262 + b5313
       + b5340 + b5362 + b5469 + b5512 + b5594 + b5656 + b5717 + b5767 + b5915
       + b5957 + b5996 + b6007 + b6027 + b6043 + b6177 + b6179 + b6336 + b6373
       + b6409 + b6420 + b6471 + b6520 + b6538 + b6561 + b6675 + b6720 + b6809
       + b6907 + b6933 + b6970 + b7002 + b7108 + b7176 + b7243 + b7321 + b7528
       + b7556 + b7673 + b7704 + b7725 + b7773 + b7833 + b7840 + b7996 + b8304
       + b8307 + b8408 + b8594 + b8606 + b8753 + b8762 + b8783 + b8836 + b8898
       = 1;

e512:    b2 + b23 + b31 + b114 + b263 + b270 + b305 + b314 + b388 + b482 + b492
       + b553 + b570 + b643 + b684 + b877 + b886 + b911 + b951 + b978 + b996
       + b1029 + b1046 + b1052 + b1119 + b1130 + b1161 + b1181 + b1186 + b1216
       + b1252 + b1266 + b1294 + b1345 + b1357 + b1411 + b1557 + b1641 + b1674
       + b1695 + b1719 + b1760 + b1776 + b1832 + b1885 + b1934 + b1959 + b2006
       + b2008 + b2063 + b2174 + b2226 + b2228 + b2254 + b2426 + b2512 + b2531
       + b2555 + b2750 + b2754 + b2758 + b2794 + b2796 + b2958 + b3025 + b3127
       + b3129 + b3168 + b3192 + b3237 + b3238 + b3256 + b3290 + b3299 + b3324
       + b3347 + b3353 + b3355 + b3415 + b3642 + b3665 + b3687 + b3830 + b3866
       + b3886 + b3901 + b3912 + b3946 + b4091 + b4157 + b4165 + b4338 + b4357
       + b4359 + b4365 + b4491 + b4707 + b4792 + b4812 + b4886 + b4979 + b5013
       + b5020 + b5026 + b5037 + b5048 + b5059 + b5102 + b5138 + b5206 + b5262
       + b5313 + b5340 + b5362 + b5379 + b5431 + b5436 + b5442 + b5459 + b5469
       + b5489 + b5491 + b5656 + b5664 + b5767 + b5915 + b5957 + b5996 + b6007
       + b6027 + b6043 + b6079 + b6177 + b6179 + b6180 + b6285 + b6316 + b6336
       + b6339 + b6373 + b6409 + b6420 + b6471 + b6504 + b6538 + b6561 + b6616
       + b6675 + b6720 + b6809 + b6907 + b6929 + b6933 + b6970 + b7002 + b7028
       + b7108 + b7130 + b7141 + b7176 + b7243 + b7294 + b7310 + b7321 + b7489
       + b7528 + b7556 + b7610 + b7638 + b7658 + b7673 + b7701 + b7704 + b7725
       + b7737 + b7773 + b7833 + b7840 + b7943 + b7965 + b7967 + b7996 + b8002
       + b8094 + b8261 + b8304 + b8307 + b8367 + b8408 + b8497 + b8542 + b8594
       + b8606 + b8656 + b8753 + b8762 + b8898 = 1;

e513:    b23 + b57 + b240 + b263 + b270 + b311 + b312 + b318 + b369 + b371
       + b413 + b492 + b499 + b568 + b618 + b658 + b760 + b886 + b951 + b978
       + b996 + b1024 + b1159 + b1161 + b1186 + b1216 + b1228 + b1266 + b1345
       + b1411 + b1477 + b1557 + b1568 + b1695 + b1885 + b1919 + b1934 + b1938
       + b1959 + b1961 + b1984 + b2006 + b2025 + b2097 + b2174 + b2223 + b2228
       + b2254 + b2339 + b2426 + b2512 + b2523 + b2550 + b2745 + b2750 + b2758
       + b2958 + b2971 + b2993 + b3025 + b3129 + b3225 + b3237 + b3238 + b3256
       + b3310 + b3415 + b3897 + b3946 + b4099 + b4129 + b4165 + b4200 + b4319
       + b4320 + b4338 + b4357 + b4365 + b4491 + b4520 + b4568 + b4635 + b4721
       + b4739 + b4775 + b4833 + b4874 + b4886 + b4898 + b4979 + b5016 + b5075
       + b5076 + b5138 + b5262 + b5281 + b5313 + b5340 + b5362 + b5431 + b5436
       + b5442 + b5474 + b5489 + b5656 + b5725 + b5763 + b5854 + b6145 + b6179
       + b6180 + b6221 + b6247 + b6292 + b6339 + b6373 + b6399 + b6400 + b6471
       + b6561 + b6597 + b6613 + b6665 + b6675 + b6720 + b6731 + b6809 + b6826
       + b6841 + b6875 + b6907 + b6921 + b6948 + b6970 + b6981 + b6990 + b7119
       + b7141 + b7176 + b7280 + b7292 + b7296 + b7401 + b7443 + b7470 + b7525
       + b7528 + b7556 + b7607 + b7638 + b7658 + b7673 + b7701 + b7705 + b7726
       + b7840 + b7965 + b8002 + b8140 + b8292 + b8304 + b8307 + b8378 + b8487
       + b8522 + b8567 + b8594 + b8606 + b8621 + b8672 + b8703 + b8775 + b8863
       + b8868 + b8878 = 1;

e514:    b131 + b263 + b270 + b281 + b311 + b312 + b371 + b528 + b535 + b550
       + b568 + b579 + b618 + b760 + b978 + b1096 + b1104 + b1159 + b1216
       + b1276 + b1342 + b1345 + b1429 + b1695 + b1799 + b1883 + b1934 + b1959
       + b2006 + b2174 + b2228 + b2360 + b2426 + b2798 + b2819 + b2971 + b3129
       + b3310 + b3451 + b4175 + b4491 + b4568 + b4775 + b4833 + b4886 + b4979
       + b5042 + b5138 + b5262 + b5340 + b5431 + b5433 + b5447 + b5474 + b5489
       + b5656 + b5854 + b6145 + b6179 + b6293 + b6399 + b6427 + b6471 + b6561
       + b6589 + b6597 + b6675 + b6731 + b6809 + b6841 + b6948 + b6970 + b6981
       + b7279 + b7280 + b7348 + b7470 + b7525 + b7528 + b7556 + b7592 + b7607
       + b7638 + b7673 + b7701 + b7860 + b7869 + b7985 + b8002 + b8307 + b8335
       + b8567 + b8606 + b8703 + b8878 = 1;

e515:    b98 + b234 + b242 + b313 + b389 + b629 + b1957 + b2223 + b2320 + b2324
       + b2411 + b2474 + b2534 + b2560 + b2572 + b3290 + b3295 + b3586 + b3597
       + b3866 + b4051 + b4164 + b4421 + b4553 + b4649 + b4793 + b4812 + b5076
       + b5206 + b5418 + b5512 + b5532 + b5709 + b6016 + b6291 + b6575 + b6977
       + b7029 + b7108 + b7191 + b8580 + b8644 + b8868 = 1;

e516:    b98 + b234 + b242 + b313 + b389 + b629 + b1957 + b2223 + b2320 + b2324
       + b2411 + b2474 + b2534 + b2560 + b2572 + b3290 + b3295 + b3586 + b3597
       + b3866 + b4051 + b4164 + b4421 + b4553 + b4649 + b4793 + b4812 + b5076
       + b5206 + b5418 + b5512 + b5532 + b5709 + b6016 + b6291 + b6575 + b6977
       + b7029 + b7108 + b7191 + b8580 + b8644 + b8868 = 1;

e517:    b313 + b629 + b1013 + b1058 + b1105 + b1234 + b1786 + b1797 + b1908
       + b2060 + b2107 + b2314 + b2411 + b2429 + b2569 + b2856 + b3311 + b3641
       + b3977 + b4421 + b4445 + b4649 + b4793 + b5731 + b6453 + b6575 + b6675
       + b6977 + b6985 + b7191 + b7355 + b7687 + b8020 + b8644 + b8673 + b8748
       = 1;

e518:    b313 + b629 + b1031 + b1058 + b1105 + b1234 + b1786 + b1797 + b1908
       + b2060 + b2107 + b2411 + b2569 + b2856 + b3311 + b3641 + b3977 + b4421
       + b4445 + b4649 + b4793 + b6453 + b6575 + b6675 + b6977 + b6985 + b7191
       + b7355 + b7687 + b8020 + b8644 + b8673 = 1;

e519:    b473 + b733 + b781 + b1031 + b1070 + b1178 + b1732 + b1908 + b2060
       + b2147 + b2411 + b2569 + b2844 + b2856 + b2864 + b3977 + b4421 + b4445
       + b6011 + b6183 + b6482 + b6675 + b6937 + b7520 + b7725 + b7840 + b8644
       = 1;

e520:    b473 + b733 + b745 + b781 + b1031 + b1070 + b1178 + b1732 + b1908
       + b2060 + b2147 + b2411 + b2569 + b2844 + b2856 + b2864 + b2865 + b3977
       + b4421 + b4445 + b5061 + b5499 + b6011 + b6183 + b6394 + b6482 + b6675
       + b6937 + b7520 + b7725 + b7840 + b8287 = 1;

e521:    b129 + b781 + b1031 + b1070 + b1238 + b1322 + b1388 + b1797 + b1908
       + b2060 + b2096 + b2147 + b2362 + b2411 + b2569 + b2844 + b2856 + b2913
       + b2992 + b3977 + b4164 + b4421 + b4445 + b4728 + b5186 + b5570 + b5711
       + b5761 + b5885 + b6011 + b6183 + b6394 + b6462 + b6482 + b6675 + b6798
       + b6937 + b7355 + b7725 + b7797 + b7840 + b8000 + b8018 + b8026 = 1;

e522:    b44 + b54 + b62 + b113 + b153 + b501 + b592 + b1164 + b1189 + b1310
       + b1942 + b1949 + b1958 + b1991 + b2136 + b2292 + b2322 + b2349 + b2377
       + b2418 + b2446 + b2506 + b2846 + b2991 + b3842 + b4038 + b4207 + b4262
       + b4387 + b4521 + b5155 + b5591 + b5745 + b5864 + b6090 + b6170 + b6218
       + b6376 + b6483 + b6618 + b6681 + b6743 + b6751 + b6812 + b6844 + b6846
       + b7177 + b7209 + b7368 + b7420 + b7998 + b8047 + b8377 + b8610 + b8714
       = 1;

e523:    b38 + b85 + b92 + b153 + b169 + b189 + b252 + b326 + b333 + b395
       + b420 + b477 + b582 + b602 + b645 + b648 + b759 + b812 + b821 + b846
       + b850 + b861 + b879 + b936 + b992 + b1084 + b1183 + b1198 + b1351
       + b1367 + b1370 + b1520 + b1532 + b1596 + b1668 + b1736 + b1741 + b1752
       + b1779 + b1821 + b1853 + b1870 + b1914 + b2013 + b2065 + b2142 + b2191
       + b2204 + b2282 + b2293 + b2404 + b2453 + b2463 + b2498 + b2540 + b2613
       + b2654 + b2714 + b2723 + b2756 + b2761 + b2876 + b2953 + b2986 + b3027
       + b3033 + b3039 + b3059 + b3073 + b3101 + b3105 + b3130 + b3131 + b3143
       + b3162 + b3179 + b3223 + b3341 + b3406 + b3430 + b3484 + b3508 + b3575
       + b3639 + b3661 + b3703 + b3721 + b3766 + b3933 + b3956 + b3998 + b4041
       + b4081 + b4097 + b4162 + b4173 + b4342 + b4368 + b4436 + b4497 + b4501
       + b4545 + b4582 + b4629 + b4648 + b4658 + b4686 + b4717 + b4759 + b4810
       + b4821 + b4834 + b4884 + b4909 + b4985 + b5023 + b5145 + b5210 + b5227
       + b5269 + b5327 + b5378 + b5475 + b5548 + b5643 + b5710 + b5739 + b5759
       + b5842 + b5867 + b5883 + b5886 + b5913 + b5985 + b6109 + b6352 + b6405
       + b6452 + b6591 + b6605 + b6618 + b6634 + b6746 + b6767 + b6771 + b6821
       + b6846 + b6852 + b6916 + b6964 + b7010 + b7012 + b7103 + b7122 + b7171
       + b7229 + b7352 + b7399 + b7485 + b7489 + b7504 + b7523 + b7597 + b7645
       + b7727 + b7783 + b7859 + b7950 + b7975 + b8017 + b8103 + b8151 + b8239
       + b8260 + b8311 + b8316 + b8593 + b8658 + b8679 + b8680 + b8710 + b8715
       + b8760 = 1;

e524:    b38 + b85 + b92 + b153 + b169 + b189 + b252 + b326 + b333 + b379
       + b395 + b420 + b477 + b582 + b602 + b645 + b648 + b759 + b769 + b812
       + b821 + b846 + b850 + b861 + b879 + b936 + b992 + b1084 + b1183 + b1198
       + b1351 + b1367 + b1370 + b1520 + b1532 + b1596 + b1668 + b1736 + b1741
       + b1752 + b1779 + b1821 + b1853 + b1870 + b1914 + b2013 + b2065 + b2142
       + b2191 + b2204 + b2282 + b2293 + b2404 + b2453 + b2463 + b2498 + b2540
       + b2613 + b2654 + b2714 + b2723 + b2756 + b2761 + b2876 + b2953 + b2986
       + b3027 + b3033 + b3039 + b3059 + b3073 + b3101 + b3105 + b3130 + b3131
       + b3143 + b3162 + b3179 + b3223 + b3341 + b3406 + b3430 + b3484 + b3508
       + b3575 + b3639 + b3661 + b3703 + b3721 + b3766 + b3933 + b3956 + b3998
       + b4041 + b4081 + b4097 + b4162 + b4173 + b4342 + b4368 + b4436 + b4497
       + b4501 + b4545 + b4582 + b4629 + b4648 + b4658 + b4686 + b4717 + b4759
       + b4810 + b4821 + b4834 + b4884 + b4909 + b4985 + b5023 + b5145 + b5210
       + b5227 + b5269 + b5327 + b5378 + b5475 + b5548 + b5643 + b5710 + b5739
       + b5759 + b5842 + b5867 + b5883 + b5886 + b5913 + b5985 + b6109 + b6112
       + b6209 + b6352 + b6405 + b6452 + b6591 + b6605 + b6618 + b6634 + b6746
       + b6767 + b6771 + b6821 + b6846 + b6852 + b6916 + b6964 + b7010 + b7012
       + b7103 + b7122 + b7171 + b7229 + b7352 + b7399 + b7485 + b7489 + b7504
       + b7523 + b7597 + b7645 + b7727 + b7783 + b7859 + b7950 + b7975 + b8017
       + b8103 + b8151 + b8239 + b8260 + b8311 + b8316 + b8393 + b8593 + b8658
       + b8679 + b8680 + b8710 + b8715 + b8760 = 1;

e525:    b38 + b85 + b92 + b169 + b189 + b333 + b379 + b395 + b420 + b477
       + b582 + b602 + b645 + b648 + b769 + b812 + b821 + b846 + b850 + b861
       + b879 + b936 + b992 + b1183 + b1198 + b1351 + b1367 + b1370 + b1520
       + b1532 + b1596 + b1668 + b1685 + b1736 + b1741 + b1752 + b1779 + b1821
       + b1853 + b1870 + b1914 + b2013 + b2142 + b2191 + b2204 + b2282 + b2293
       + b2404 + b2453 + b2463 + b2498 + b2540 + b2613 + b2714 + b2756 + b2761
       + b2953 + b2986 + b3027 + b3033 + b3039 + b3059 + b3073 + b3101 + b3105
       + b3130 + b3131 + b3143 + b3162 + b3406 + b3430 + b3484 + b3508 + b3575
       + b3639 + b3661 + b3703 + b3721 + b3766 + b3782 + b3956 + b3960 + b3998
       + b4041 + b4081 + b4097 + b4173 + b4277 + b4342 + b4436 + b4497 + b4501
       + b4545 + b4582 + b4629 + b4648 + b4658 + b4686 + b4717 + b4718 + b4759
       + b4810 + b4821 + b4834 + b4884 + b4909 + b4985 + b5023 + b5145 + b5210
       + b5227 + b5269 + b5327 + b5378 + b5548 + b5643 + b5710 + b5739 + b5759
       + b5842 + b5867 + b5883 + b5886 + b5913 + b5985 + b6109 + b6112 + b6209
       + b6352 + b6405 + b6452 + b6591 + b6595 + b6605 + b6618 + b6746 + b6771
       + b6821 + b6846 + b6852 + b6964 + b7010 + b7012 + b7081 + b7103 + b7122
       + b7168 + b7171 + b7229 + b7352 + b7389 + b7399 + b7485 + b7489 + b7504
       + b7523 + b7597 + b7645 + b7783 + b7859 + b7876 + b7916 + b7950 + b8017
       + b8066 + b8103 + b8151 + b8239 + b8311 + b8393 + b8573 + b8593 + b8609
       + b8679 + b8680 + b8710 + b8715 + b8760 = 1;

e526:    b82 + b85 + b92 + b189 + b197 + b236 + b379 + b391 + b395 + b414
       + b420 + b438 + b471 + b495 + b515 + b645 + b699 + b821 + b850 + b879
       + b976 + b1124 + b1145 + b1183 + b1232 + b1321 + b1460 + b1475 + b1483
       + b1590 + b1601 + b1668 + b1731 + b1738 + b1752 + b1821 + b2159 + b2345
       + b2393 + b2453 + b2485 + b2515 + b2596 + b2613 + b2621 + b2703 + b2712
       + b2986 + b3015 + b3059 + b3073 + b3105 + b3130 + b3143 + b3161 + b3162
       + b3172 + b3184 + b3223 + b3333 + b3404 + b3406 + b3408 + b3430 + b3508
       + b3575 + b3643 + b3660 + b3661 + b3709 + b3712 + b3721 + b3768 + b3782
       + b3846 + b3851 + b3881 + b3956 + b3960 + b3995 + b4029 + b4095 + b4097
       + b4173 + b4221 + b4269 + b4277 + b4285 + b4323 + b4420 + b4430 + b4550
       + b4571 + b4648 + b4664 + b4686 + b4701 + b4759 + b4761 + b4810 + b4829
       + b4834 + b4884 + b4985 + b5145 + b5155 + b5169 + b5269 + b5367 + b5378
       + b5384 + b5449 + b5465 + b5557 + b5636 + b5643 + b5744 + b5759 + b5871
       + b5901 + b5965 + b5979 + b5985 + b5990 + b6006 + b6024 + b6041 + b6047
       + b6114 + b6121 + b6215 + b6340 + b6595 + b6618 + b6622 + b6634 + b6760
       + b6769 + b6771 + b6821 + b6888 + b7003 + b7012 + b7103 + b7113 + b7171
       + b7229 + b7384 + b7459 + b7585 + b7645 + b7649 + b7661 + b7782 + b7876
       + b7898 + b7916 + b7950 + b7955 + b8052 + b8062 + b8103 + b8160 + b8231
       + b8239 + b8311 + b8574 + b8581 + b8609 + b8677 + b8679 + b8697 + b8710
       + b8720 + b8760 + b8827 = 1;

e527:    b82 + b85 + b92 + b189 + b197 + b236 + b350 + b391 + b395 + b414
       + b438 + b471 + b495 + b515 + b578 + b645 + b699 + b821 + b850 + b879
       + b976 + b1124 + b1145 + b1183 + b1232 + b1321 + b1475 + b1532 + b1590
       + b1601 + b1668 + b1738 + b1752 + b1821 + b2159 + b2345 + b2393 + b2453
       + b2485 + b2515 + b2612 + b2613 + b2621 + b2703 + b2712 + b2857 + b2986
       + b3015 + b3059 + b3073 + b3105 + b3130 + b3161 + b3162 + b3172 + b3184
       + b3223 + b3404 + b3406 + b3408 + b3430 + b3500 + b3575 + b3643 + b3660
       + b3661 + b3712 + b3721 + b3782 + b3846 + b3851 + b3881 + b3956 + b3960
       + b3995 + b4029 + b4095 + b4097 + b4173 + b4269 + b4277 + b4285 + b4323
       + b4420 + b4550 + b4571 + b4648 + b4664 + b4686 + b4701 + b4759 + b4810
       + b4820 + b4834 + b4884 + b4985 + b5145 + b5155 + b5169 + b5367 + b5378
       + b5417 + b5449 + b5465 + b5557 + b5636 + b5643 + b5744 + b5759 + b5871
       + b5901 + b5985 + b5990 + b6006 + b6024 + b6041 + b6047 + b6121 + b6215
       + b6340 + b6618 + b6622 + b6634 + b6760 + b6769 + b6771 + b6821 + b6888
       + b6916 + b7003 + b7103 + b7113 + b7171 + b7229 + b7384 + b7459 + b7550
       + b7585 + b7645 + b7661 + b7782 + b7876 + b7898 + b7916 + b7950 + b7955
       + b8052 + b8062 + b8103 + b8160 + b8231 + b8239 + b8311 + b8574 + b8581
       + b8609 + b8677 + b8679 + b8710 + b8720 + b8760 = 1;

e528:    b82 + b92 + b189 + b302 + b395 + b414 + b453 + b461 + b477 + b578
       + b602 + b645 + b648 + b821 + b846 + b850 + b936 + b976 + b984 + b1049
       + b1172 + b1198 + b1222 + b1351 + b1532 + b1589 + b1596 + b1613 + b1668
       + b1752 + b1853 + b1856 + b1962 + b1977 + b2007 + b2013 + b2159 + b2384
       + b2393 + b2400 + b2451 + b2453 + b2463 + b2473 + b2485 + b2515 + b2528
       + b2621 + b2716 + b2720 + b2756 + b2857 + b2886 + b2986 + b3027 + b3033
       + b3039 + b3059 + b3131 + b3172 + b3223 + b3362 + b3406 + b3430 + b3475
       + b3484 + b3508 + b3519 + b3575 + b3661 + b3712 + b3713 + b3851 + b3956
       + b4038 + b4081 + b4097 + b4194 + b4268 + b4269 + b4420 + b4560 + b4648
       + b4656 + b4658 + b4686 + b4701 + b4759 + b4769 + b4810 + b4834 + b4884
       + b4923 + b4974 + b4985 + b5039 + b5155 + b5210 + b5327 + b5378 + b5417
       + b5449 + b5475 + b5548 + b5636 + b5643 + b5710 + b5739 + b5746 + b5842
       + b5850 + b5985 + b6035 + b6041 + b6109 + b6121 + b6218 + b6564 + b6618
       + b6622 + b6634 + b6769 + b6771 + b6815 + b6821 + b6846 + b6852 + b6916
       + b6984 + b7003 + b7092 + b7103 + b7229 + b7352 + b7368 + b7389 + b7399
       + b7456 + b7459 + b7489 + b7523 + b7597 + b7630 + b7655 + b7661 + b7686
       + b7783 + b7859 + b7876 + b7916 + b7982 + b8103 + b8239 + b8311 + b8316
       + b8581 + b8677 + b8710 + b8723 + b8739 + b8784 = 1;

e529:    b82 + b92 + b189 + b302 + b395 + b414 + b453 + b461 + b477 + b578
       + b602 + b645 + b648 + b741 + b821 + b846 + b850 + b936 + b976 + b984
       + b1049 + b1057 + b1172 + b1198 + b1222 + b1351 + b1532 + b1589 + b1596
       + b1613 + b1668 + b1752 + b1853 + b1856 + b1962 + b1977 + b2007 + b2013
       + b2159 + b2384 + b2393 + b2400 + b2451 + b2453 + b2463 + b2473 + b2485
       + b2515 + b2528 + b2621 + b2716 + b2720 + b2756 + b2849 + b2857 + b2886
       + b2944 + b2986 + b3027 + b3033 + b3039 + b3059 + b3072 + b3131 + b3172
       + b3223 + b3362 + b3406 + b3430 + b3475 + b3484 + b3508 + b3519 + b3575
       + b3606 + b3661 + b3712 + b3713 + b3851 + b3956 + b4038 + b4081 + b4083
       + b4097 + b4194 + b4268 + b4269 + b4382 + b4420 + b4467 + b4560 + b4648
       + b4656 + b4658 + b4686 + b4701 + b4759 + b4769 + b4810 + b4834 + b4884
       + b4923 + b4974 + b4985 + b5039 + b5155 + b5163 + b5210 + b5268 + b5327
       + b5378 + b5417 + b5449 + b5475 + b5548 + b5636 + b5643 + b5710 + b5739
       + b5746 + b5842 + b5850 + b5985 + b6002 + b6035 + b6041 + b6102 + b6109
       + b6121 + b6218 + b6535 + b6564 + b6618 + b6622 + b6634 + b6769 + b6771
       + b6815 + b6821 + b6846 + b6852 + b6916 + b6984 + b7003 + b7092 + b7103
       + b7229 + b7352 + b7368 + b7389 + b7399 + b7456 + b7459 + b7489 + b7523
       + b7597 + b7630 + b7655 + b7661 + b7686 + b7783 + b7859 + b7876 + b7916
       + b7982 + b8103 + b8239 + b8311 + b8316 + b8525 + b8581 + b8677 + b8710
       + b8723 + b8739 + b8784 = 1;

e530:    b54 + b62 + b86 + b113 + b153 + b206 + b501 + b592 + b835 + b1310
       + b1605 + b1942 + b1949 + b1958 + b1991 + b2033 + b2292 + b2322 + b2349
       + b2446 + b2506 + b2846 + b2909 + b2915 + b2944 + b3145 + b3234 + b3362
       + b3575 + b3629 + b3630 + b3765 + b3900 + b4038 + b4207 + b4226 + b4262
       + b4407 + b4521 + b4939 + b5032 + b5155 + b5224 + b5337 + b5402 + b5560
       + b5591 + b5739 + b5745 + b5809 + b5829 + b5864 + b6118 + b6170 + b6218
       + b6376 + b6483 + b6618 + b6751 + b6773 + b6786 + b6846 + b6896 + b6938
       + b7177 + b7185 + b7209 + b7368 + b7420 + b7613 + b7783 + b7822 + b7998
       + b8047 + b8279 + b8591 + b8610 + b8714 = 1;

e531:    b62 + b86 + b113 + b153 + b592 + b1310 + b1942 + b1949 + b1958 + b1991
       + b2322 + b2349 + b2446 + b2506 + b2846 + b2944 + b3145 + b3234 + b3362
       + b3575 + b3629 + b3900 + b4038 + b4207 + b4226 + b4262 + b4407 + b4521
       + b5155 + b5337 + b5402 + b5560 + b5591 + b5739 + b5745 + b5829 + b5864
       + b6170 + b6218 + b6376 + b6483 + b6618 + b6751 + b6773 + b6846 + b6938
       + b7177 + b7185 + b7368 + b7420 + b7613 + b7783 + b7822 + b7998 + b8047
       + b8591 + b8610 + b8714 = 1;

e532:    b44 + b62 + b113 + b153 + b592 + b1164 + b1189 + b1310 + b1627 + b1942
       + b1949 + b1958 + b1991 + b2322 + b2349 + b2446 + b2478 + b2506 + b2846
       + b2991 + b3145 + b3232 + b3234 + b3362 + b3842 + b4038 + b4207 + b4262
       + b4521 + b5155 + b5337 + b5402 + b5591 + b5745 + b5864 + b5998 + b6090
       + b6124 + b6170 + b6218 + b6376 + b6483 + b6618 + b6751 + b6812 + b6846
       + b6938 + b7177 + b7368 + b7420 + b7783 + b7998 + b8047 + b8284 + b8377
       + b8610 + b8714 = 1;

e533:    b168 + b197 + b714 + b738 + b879 + b1000 + b1094 + b1235 + b1436
       + b1475 + b1738 + b2404 + b2543 + b3041 + b3105 + b3258 + b3479 + b3712
       + b3766 + b3808 + b4141 + b4582 + b4632 + b4701 + b4724 + b4942 + b5279
       + b5467 + b5527 + b5851 + b5871 + b5913 + b6323 + b6888 + b7121 + b8084
       + b8103 + b8180 + b8218 = 1;

e534:    b714 + b738 + b879 + b1000 + b1094 + b1235 + b1475 + b1738 + b1913
       + b2543 + b3041 + b3258 + b3479 + b3766 + b3808 + b4141 + b4632 + b4724
       + b4942 + b5279 + b5387 + b5467 + b5527 + b6323 + b7121 + b8218 = 1;

e535:    b738 + b967 + b1000 + b1063 + b1094 + b2451 + b2627 + b4141 + b4656
       + b5527 + b5971 + b6009 = 1;

e536:    b738 + b948 + b967 + b1000 + b1013 + b1063 + b1094 + b2451 + b2627
       + b4141 + b4656 + b5527 + b5971 + b6009 + b8748 = 1;

e537:    b738 + b1000 + b1063 + b1094 + b1607 + b2027 + b2113 + b2451 + b2904
       + b3591 + b3923 + b4632 + b4656 + b5467 + b5945 + b7556 + b8218 = 1;

e538:    b738 + b1000 + b1063 + b1094 + b1607 + b1630 + b2027 + b2113 + b2451
       + b2904 + b3591 + b3824 + b3923 + b4632 + b4656 + b5467 + b5945 + b8218
       = 1;

e539:    b738 + b1000 + b1063 + b1094 + b1607 + b1630 + b2027 + b2113 + b2451
       + b2904 + b3591 + b3824 + b3923 + b4632 + b4656 + b5467 + b5945 + b8218
       = 1;

e540:    b172 + b271 + b278 + b538 + b665 + b706 + b955 + b977 + b1202 + b1261
       + b1334 + b1349 + b1416 + b1461 + b1492 + b1601 + b1868 + b1896 + b1930
       + b2066 + b2120 + b2134 + b2407 + b2513 + b2517 + b3356 + b3432 + b3560
       + b3603 + b3654 + b3881 + b4023 + b4160 + b4390 + b4550 + b4562 + b4602
       + b4631 + b4647 + b4680 + b4704 + b5180 + b5339 + b5585 + b5618 + b5624
       + b5825 + b5846 + b5948 + b5990 + b6006 + b6047 + b6284 + b6309 + b6328
       + b6475 + b6513 + b6572 + b6851 + b6902 + b7156 + b7272 + b7836 + b7912
       + b7948 + b7955 + b7966 + b8031 + b8120 + b8263 + b8486 + b8543 + b8553
       + b8674 + b8684 + b8828 = 1;

e541:    b172 + b271 + b278 + b538 + b665 + b706 + b955 + b977 + b1202 + b1261
       + b1334 + b1349 + b1416 + b1461 + b1492 + b1601 + b1868 + b1896 + b1930
       + b2066 + b2120 + b2134 + b2407 + b2513 + b2517 + b3356 + b3432 + b3560
       + b3603 + b3654 + b3881 + b4023 + b4160 + b4390 + b4550 + b4562 + b4602
       + b4631 + b4647 + b4680 + b4704 + b5180 + b5339 + b5585 + b5618 + b5624
       + b5825 + b5846 + b5948 + b5990 + b6006 + b6047 + b6284 + b6309 + b6328
       + b6475 + b6513 + b6572 + b6851 + b6902 + b7156 + b7272 + b7836 + b7912
       + b7948 + b7955 + b7966 + b8031 + b8120 + b8263 + b8486 + b8543 + b8553
       + b8674 + b8684 + b8828 = 1;

e542:    b172 + b271 + b278 + b538 + b665 + b706 + b955 + b977 + b1202 + b1261
       + b1334 + b1349 + b1416 + b1461 + b1492 + b1601 + b1868 + b1896 + b1930
       + b2066 + b2120 + b2134 + b2407 + b2513 + b2517 + b3356 + b3432 + b3560
       + b3603 + b3654 + b3881 + b4023 + b4160 + b4390 + b4550 + b4562 + b4602
       + b4631 + b4647 + b4680 + b4704 + b5180 + b5339 + b5585 + b5618 + b5624
       + b5825 + b5846 + b5948 + b5990 + b6006 + b6047 + b6284 + b6309 + b6328
       + b6475 + b6513 + b6572 + b6851 + b7156 + b7272 + b7836 + b7912 + b7948
       + b7955 + b7966 + b8031 + b8120 + b8263 + b8486 + b8543 + b8553 + b8674
       + b8684 + b8828 = 1;

e543:    b172 + b271 + b278 + b382 + b538 + b665 + b706 + b955 + b977 + b1202
       + b1261 + b1334 + b1349 + b1416 + b1461 + b1492 + b1601 + b1868 + b1896
       + b1930 + b2066 + b2120 + b2134 + b2407 + b2513 + b2517 + b3356 + b3432
       + b3560 + b3603 + b3654 + b3881 + b3948 + b4023 + b4090 + b4160 + b4390
       + b4550 + b4562 + b4602 + b4631 + b4647 + b4680 + b4704 + b5180 + b5339
       + b5585 + b5618 + b5624 + b5825 + b5846 + b5948 + b5990 + b6006 + b6047
       + b6116 + b6271 + b6284 + b6309 + b6328 + b6475 + b6513 + b6572 + b6851
       + b7156 + b7272 + b7387 + b7836 + b7912 + b7948 + b7955 + b7966 + b8031
       + b8120 + b8263 + b8322 + b8486 + b8543 + b8553 + b8674 + b8684 + b8828
       = 1;

e544:    b105 + b122 + b172 + b190 + b205 + b228 + b254 + b271 + b278 + b303
       + b348 + b352 + b403 + b405 + b491 + b555 + b587 + b612 + b630 + b641
       + b645 + b665 + b676 + b693 + b742 + b743 + b783 + b787 + b829 + b955
       + b977 + b1040 + b1173 + b1191 + b1212 + b1254 + b1293 + b1300 + b1349
       + b1371 + b1421 + b1433 + b1474 + b1517 + b1612 + b1730 + b1808 + b1836
       + b1868 + b1930 + b1932 + b1973 + b2014 + b2016 + b2134 + b2150 + b2381
       + b2395 + b2407 + b2409 + b2436 + b2499 + b2500 + b2513 + b2527 + b2533
       + b2566 + b2630 + b2643 + b2688 + b2724 + b2795 + b2866 + b2921 + b2967
       + b3098 + b3239 + b3294 + b3333 + b3356 + b3416 + b3420 + b3421 + b3467
       + b3490 + b3551 + b3560 + b3579 + b3603 + b3647 + b3675 + b3710 + b3728
       + b3753 + b3783 + b3801 + b3869 + b3976 + b4048 + b4240 + b4292 + b4331
       + b4410 + b4427 + b4458 + b4484 + b4486 + b4512 + b4544 + b4550 + b4559
       + b4612 + b4650 + b4693 + b4704 + b4708 + b4763 + b4891 + b4934 + b4946
       + b4959 + b4964 + b4967 + b4986 + b5083 + b5094 + b5239 + b5242 + b5490
       + b5510 + b5577 + b5609 + b5648 + b5825 + b5826 + b5846 + b5857 + b5980
       + b5990 + b6096 + b6133 + b6158 + b6173 + b6189 + b6284 + b6424 + b6475
       + b6513 + b6551 + b6572 + b6626 + b6721 + b6779 + b6802 + b6803 + b6811
       + b6825 + b6840 + b6848 + b6851 + b6895 + b7093 + b7256 + b7277 + b7290
       + b7311 + b7320 + b7364 + b7387 + b7394 + b7418 + b7433 + b7465 + b7477
       + b7478 + b7512 + b7684 + b7826 + b7832 + b7867 + b7912 + b7937 + b7958
       + b7963 + b8031 + b8081 + b8120 + b8168 + b8219 + b8338 + b8339 + b8417
       + b8513 + b8533 + b8559 + b8645 + b8647 + b8755 + b8782 = 1;

e545:    b105 + b122 + b172 + b190 + b205 + b228 + b254 + b271 + b278 + b303
       + b348 + b352 + b403 + b405 + b491 + b555 + b587 + b612 + b630 + b641
       + b645 + b665 + b676 + b693 + b742 + b743 + b783 + b787 + b829 + b955
       + b977 + b1040 + b1173 + b1191 + b1212 + b1254 + b1293 + b1300 + b1349
       + b1371 + b1421 + b1433 + b1474 + b1517 + b1612 + b1730 + b1808 + b1836
       + b1868 + b1930 + b1932 + b1973 + b2014 + b2016 + b2134 + b2150 + b2381
       + b2395 + b2407 + b2409 + b2436 + b2499 + b2500 + b2513 + b2527 + b2533
       + b2566 + b2630 + b2643 + b2688 + b2724 + b2795 + b2866 + b2921 + b2967
       + b3098 + b3239 + b3294 + b3333 + b3356 + b3416 + b3420 + b3421 + b3467
       + b3490 + b3551 + b3560 + b3579 + b3603 + b3647 + b3675 + b3710 + b3728
       + b3753 + b3783 + b3801 + b3869 + b3976 + b4048 + b4240 + b4292 + b4331
       + b4410 + b4427 + b4458 + b4484 + b4486 + b4512 + b4544 + b4550 + b4559
       + b4612 + b4650 + b4693 + b4704 + b4708 + b4763 + b4891 + b4934 + b4946
       + b4959 + b4964 + b4967 + b4986 + b5083 + b5094 + b5239 + b5242 + b5490
       + b5510 + b5577 + b5609 + b5648 + b5825 + b5826 + b5846 + b5857 + b5980
       + b5990 + b6096 + b6133 + b6158 + b6173 + b6189 + b6284 + b6424 + b6475
       + b6513 + b6551 + b6572 + b6626 + b6721 + b6779 + b6802 + b6803 + b6811
       + b6825 + b6840 + b6848 + b6851 + b6895 + b7093 + b7256 + b7277 + b7290
       + b7311 + b7320 + b7364 + b7387 + b7394 + b7418 + b7433 + b7465 + b7477
       + b7478 + b7512 + b7684 + b7826 + b7832 + b7867 + b7912 + b7937 + b7958
       + b7963 + b8031 + b8081 + b8120 + b8168 + b8219 + b8338 + b8339 + b8417
       + b8513 + b8533 + b8559 + b8645 + b8647 + b8722 + b8755 + b8782 = 1;

e546:    b122 + b145 + b161 + b172 + b205 + b248 + b271 + b303 + b352 + b405
       + b488 + b519 + b586 + b612 + b641 + b667 + b676 + b696 + b724 + b743
       + b787 + b829 + b841 + b955 + b977 + b1103 + b1113 + b1173 + b1184
       + b1202 + b1212 + b1277 + b1293 + b1349 + b1421 + b1474 + b1517 + b1612
       + b1703 + b1718 + b1746 + b1763 + b1812 + b1868 + b1896 + b1930 + b1941
       + b1973 + b1998 + b2016 + b2054 + b2134 + b2395 + b2407 + b2420 + b2496
       + b2499 + b2527 + b2825 + b2866 + b2898 + b2921 + b3239 + b3325 + b3331
       + b3333 + b3356 + b3416 + b3420 + b3492 + b3579 + b3603 + b3647 + b3654
       + b3675 + b3682 + b3710 + b3744 + b3753 + b3801 + b3931 + b3945 + b3964
       + b3976 + b3978 + b3987 + b4224 + b4271 + b4282 + b4292 + b4360 + b4512
       + b4559 + b4602 + b4631 + b4647 + b4659 + b4680 + b4693 + b4704 + b4715
       + b4891 + b4895 + b4929 + b4946 + b4959 + b4967 + b5036 + b5080 + b5092
       + b5162 + b5168 + b5239 + b5242 + b5443 + b5490 + b5510 + b5529 + b5547
       + b5553 + b5765 + b5776 + b5857 + b5948 + b5960 + b5980 + b6132 + b6133
       + b6149 + b6158 + b6173 + b6189 + b6214 + b6228 + b6412 + b6440 + b6475
       + b6490 + b6513 + b6551 + b6572 + b6602 + b6608 + b6626 + b6667 + b6803
       + b6848 + b6851 + b6889 + b6919 + b6923 + b7093 + b7156 + b7245 + b7256
       + b7277 + b7283 + b7290 + b7311 + b7329 + b7364 + b7418 + b7465 + b7477
       + b7478 + b7519 + b7728 + b7757 + b7820 + b7832 + b7836 + b7912 + b7937
       + b7958 + b7963 + b8024 + b8060 + b8081 + b8120 + b8168 + b8219 + b8267
       + b8338 + b8339 + b8362 + b8368 + b8390 + b8413 + b8417 + b8438 + b8521
       + b8533 + b8543 + b8633 + b8645 + b8674 + b8722 + b8755 = 1;

e547:    b122 + b145 + b161 + b172 + b205 + b248 + b271 + b303 + b352 + b405
       + b488 + b519 + b586 + b612 + b641 + b667 + b676 + b696 + b724 + b743
       + b787 + b829 + b841 + b955 + b1173 + b1184 + b1202 + b1212 + b1277
       + b1293 + b1421 + b1474 + b1498 + b1517 + b1612 + b1688 + b1703 + b1718
       + b1746 + b1812 + b1868 + b1896 + b1930 + b1973 + b2016 + b2108 + b2134
       + b2395 + b2407 + b2496 + b2499 + b2527 + b2825 + b2866 + b2921 + b2976
       + b3239 + b3325 + b3333 + b3416 + b3420 + b3492 + b3579 + b3603 + b3647
       + b3654 + b3675 + b3682 + b3710 + b3744 + b3794 + b3801 + b3931 + b3945
       + b3964 + b3976 + b3978 + b3987 + b4240 + b4282 + b4291 + b4292 + b4360
       + b4512 + b4559 + b4602 + b4631 + b4647 + b4659 + b4680 + b4693 + b4704
       + b4715 + b4891 + b4895 + b4929 + b4946 + b4959 + b4967 + b5036 + b5080
       + b5162 + b5168 + b5239 + b5242 + b5490 + b5510 + b5547 + b5553 + b5765
       + b5776 + b5857 + b5948 + b5960 + b5980 + b6132 + b6133 + b6149 + b6158
       + b6173 + b6189 + b6214 + b6228 + b6440 + b6449 + b6475 + b6513 + b6551
       + b6572 + b6602 + b6608 + b6626 + b6802 + b6848 + b6851 + b6919 + b6923
       + b7093 + b7156 + b7245 + b7256 + b7290 + b7311 + b7329 + b7364 + b7418
       + b7465 + b7477 + b7478 + b7512 + b7519 + b7596 + b7728 + b7820 + b7832
       + b7836 + b7912 + b7937 + b7958 + b7963 + b8024 + b8060 + b8081 + b8120
       + b8168 + b8219 + b8267 + b8338 + b8339 + b8368 + b8413 + b8438 + b8521
       + b8533 + b8543 + b8645 + b8665 + b8722 = 1;

e548:    b27 + b85 + b117 + b189 + b236 + b362 + b385 + b391 + b471 + b500
       + b515 + b516 + b589 + b651 + b702 + b788 + b812 + b850 + b861 + b912
       + b1017 + b1095 + b1124 + b1135 + b1183 + b1232 + b1300 + b1321 + b1446
       + b1501 + b1590 + b1715 + b1821 + b2039 + b2140 + b2161 + b2170 + b2187
       + b2246 + b2293 + b2341 + b2352 + b2354 + b2393 + b2485 + b2486 + b2498
       + b2539 + b2612 + b2618 + b2703 + b2712 + b2759 + b2762 + b2986 + b3010
       + b3015 + b3067 + b3073 + b3101 + b3161 + b3162 + b3172 + b3184 + b3274
       + b3312 + b3391 + b3404 + b3406 + b3500 + b3550 + b3563 + b3579 + b3616
       + b3625 + b3635 + b3639 + b3643 + b3647 + b3680 + b3721 + b3735 + b3769
       + b3782 + b3821 + b3845 + b3875 + b3908 + b3925 + b3960 + b3961 + b4029
       + b4087 + b4095 + b4173 + b4235 + b4246 + b4323 + b4332 + b4363 + b4436
       + b4475 + b4476 + b4478 + b4648 + b4664 + b4732 + b4759 + b4820 + b4884
       + b4931 + b4961 + b4972 + b4983 + b5002 + b5007 + b5073 + b5088 + b5121
       + b5127 + b5169 + b5219 + b5288 + b5292 + b5325 + b5327 + b5367 + b5432
       + b5465 + b5534 + b5553 + b5557 + b5643 + b5649 + b5744 + b5838 + b5901
       + b5934 + b5973 + b6042 + b6122 + b6215 + b6352 + b6405 + b6435 + b6540
       + b6598 + b6615 + b6620 + b6638 + b6639 + b6696 + b6700 + b6772 + b6775
       + b6776 + b6867 + b6964 + b7003 + b7004 + b7099 + b7142 + b7171 + b7184
       + b7200 + b7261 + b7384 + b7440 + b7441 + b7485 + b7505 + b7550 + b7567
       + b7585 + b7619 + b7645 + b7898 + b7926 + b7929 + b7938 + b8052 + b8109
       + b8277 + b8305 + b8483 + b8574 + b8645 + b8679 + b8760 = 1;

e549:    b27 + b85 + b117 + b189 + b236 + b362 + b385 + b391 + b471 + b500
       + b515 + b516 + b589 + b651 + b702 + b788 + b812 + b850 + b861 + b912
       + b1017 + b1095 + b1124 + b1135 + b1151 + b1169 + b1183 + b1205 + b1232
       + b1300 + b1321 + b1446 + b1501 + b1590 + b1715 + b1821 + b2039 + b2140
       + b2161 + b2170 + b2187 + b2246 + b2293 + b2341 + b2352 + b2354 + b2393
       + b2485 + b2486 + b2498 + b2539 + b2612 + b2618 + b2703 + b2712 + b2721
       + b2759 + b2762 + b2986 + b3010 + b3015 + b3067 + b3073 + b3101 + b3161
       + b3162 + b3172 + b3184 + b3274 + b3312 + b3391 + b3404 + b3406 + b3500
       + b3550 + b3563 + b3579 + b3616 + b3625 + b3635 + b3639 + b3643 + b3647
       + b3680 + b3721 + b3735 + b3769 + b3782 + b3821 + b3845 + b3875 + b3908
       + b3925 + b3960 + b3961 + b4029 + b4087 + b4095 + b4173 + b4235 + b4246
       + b4323 + b4332 + b4363 + b4436 + b4475 + b4476 + b4478 + b4648 + b4664
       + b4732 + b4759 + b4820 + b4884 + b4931 + b4961 + b4972 + b4983 + b5002
       + b5007 + b5073 + b5088 + b5121 + b5127 + b5169 + b5219 + b5288 + b5292
       + b5325 + b5327 + b5367 + b5432 + b5465 + b5534 + b5553 + b5557 + b5563
       + b5586 + b5643 + b5649 + b5744 + b5838 + b5901 + b5934 + b5973 + b6042
       + b6122 + b6215 + b6305 + b6352 + b6405 + b6435 + b6540 + b6598 + b6615
       + b6620 + b6638 + b6639 + b6696 + b6700 + b6772 + b6775 + b6776 + b6867
       + b6964 + b7003 + b7004 + b7099 + b7142 + b7171 + b7184 + b7200 + b7261
       + b7384 + b7440 + b7441 + b7485 + b7505 + b7550 + b7567 + b7585 + b7619
       + b7645 + b7799 + b7898 + b7926 + b7929 + b7938 + b8052 + b8109 + b8277
       + b8305 + b8483 + b8574 + b8644 + b8645 + b8679 + b8760 = 1;

e550:    b266 + b284 + b286 + b344 + b353 + b500 + b516 + b517 + b529 + b651
       + b912 + b1017 + b1095 + b1166 + b1169 + b1205 + b1300 + b1416 + b1474
       + b1480 + b1613 + b1673 + b1700 + b1715 + b1865 + b1877 + b1900 + b1966
       + b1978 + b1994 + b2005 + b2023 + b2132 + b2161 + b2215 + b2341 + b2352
       + b2354 + b2530 + b2578 + b2596 + b2693 + b2762 + b3010 + b3088 + b3094
       + b3124 + b3147 + b3274 + b3456 + b3499 + b3500 + b3507 + b3556 + b3579
       + b3749 + b3769 + b3772 + b3805 + b3821 + b3845 + b3961 + b4087 + b4100
       + b4124 + b4233 + b4246 + b4358 + b4399 + b4478 + b4734 + b4805 + b4839
       + b4907 + b4972 + b5002 + b5007 + b5292 + b5325 + b5339 + b5432 + b5534
       + b5553 + b5586 + b5718 + b5747 + b5758 + b5784 + b5806 + b5826 + b5831
       + b5973 + b6050 + b6122 + b6301 + b6305 + b6334 + b6380 + b6503 + b6523
       + b6539 + b6540 + b6772 + b6775 + b6776 + b6891 + b7004 + b7007 + b7099
       + b7261 + b7457 + b7518 + b7751 + b7815 + b7828 + b7842 + b7895 + b7898
       + b7929 + b7957 + b8024 + b8087 + b8129 + b8168 + b8174 + b8199 + b8205
       + b8277 + b8291 + b8305 + b8313 + b8554 + b8628 + b8645 + b8834 = 1;

e551:    b266 + b284 + b286 + b344 + b353 + b500 + b516 + b517 + b529 + b651
       + b912 + b1095 + b1166 + b1169 + b1205 + b1300 + b1416 + b1474 + b1480
       + b1613 + b1673 + b1700 + b1715 + b1865 + b1877 + b1900 + b1966 + b1978
       + b1994 + b2005 + b2023 + b2132 + b2161 + b2215 + b2341 + b2352 + b2354
       + b2530 + b2578 + b2596 + b2693 + b2762 + b3010 + b3088 + b3094 + b3124
       + b3147 + b3456 + b3499 + b3500 + b3507 + b3556 + b3579 + b3749 + b3769
       + b3772 + b3805 + b3821 + b3845 + b3961 + b4087 + b4100 + b4124 + b4233
       + b4246 + b4358 + b4399 + b4478 + b4734 + b4805 + b4839 + b4907 + b4972
       + b5002 + b5007 + b5292 + b5325 + b5339 + b5432 + b5534 + b5553 + b5586
       + b5718 + b5747 + b5758 + b5784 + b5806 + b5826 + b5831 + b5973 + b6050
       + b6122 + b6301 + b6334 + b6380 + b6503 + b6523 + b6539 + b6540 + b6772
       + b6775 + b6776 + b6891 + b7004 + b7007 + b7099 + b7261 + b7457 + b7518
       + b7815 + b7828 + b7842 + b7895 + b7898 + b7929 + b7957 + b8024 + b8087
       + b8129 + b8168 + b8174 + b8199 + b8205 + b8277 + b8291 + b8305 + b8313
       + b8554 + b8628 + b8645 + b8834 = 1;

e552:    b266 + b284 + b286 + b344 + b353 + b500 + b516 + b517 + b529 + b651
       + b793 + b912 + b1095 + b1166 + b1169 + b1205 + b1300 + b1416 + b1474
       + b1480 + b1613 + b1673 + b1700 + b1715 + b1865 + b1877 + b1900 + b1966
       + b1978 + b1994 + b2005 + b2023 + b2132 + b2161 + b2215 + b2341 + b2352
       + b2354 + b2530 + b2578 + b2596 + b2693 + b2762 + b3010 + b3088 + b3094
       + b3124 + b3147 + b3456 + b3499 + b3500 + b3507 + b3556 + b3579 + b3749
       + b3769 + b3772 + b3805 + b3821 + b3845 + b3961 + b4087 + b4100 + b4124
       + b4233 + b4246 + b4358 + b4371 + b4399 + b4478 + b4734 + b4805 + b4839
       + b4907 + b4972 + b5002 + b5007 + b5292 + b5325 + b5339 + b5432 + b5534
       + b5553 + b5586 + b5718 + b5747 + b5758 + b5784 + b5806 + b5826 + b5831
       + b5973 + b6050 + b6122 + b6301 + b6334 + b6380 + b6503 + b6523 + b6539
       + b6540 + b6590 + b6772 + b6775 + b6776 + b6891 + b7004 + b7007 + b7099
       + b7261 + b7457 + b7518 + b7815 + b7828 + b7842 + b7895 + b7898 + b7929
       + b7957 + b8024 + b8087 + b8129 + b8168 + b8174 + b8199 + b8205 + b8277
       + b8291 + b8305 + b8313 + b8554 + b8628 + b8645 + b8834 = 1;

e553:    b199 + b344 + b622 + b651 + b702 + b768 + b966 + b1014 + b1017 + b1095
       + b1108 + b1205 + b1416 + b1444 + b1474 + b1480 + b1519 + b1529 + b1542
       + b1657 + b1689 + b1717 + b1865 + b1877 + b1900 + b1999 + b2005 + b2023
       + b2132 + b2134 + b2152 + b2161 + b2215 + b2239 + b2335 + b2341 + b2354
       + b2519 + b2570 + b2578 + b2596 + b2606 + b2811 + b2930 + b3010 + b3124
       + b3162 + b3188 + b3201 + b3202 + b3390 + b3408 + b3556 + b3658 + b3769
       + b3805 + b3821 + b3867 + b3875 + b3922 + b3950 + b3961 + b3989 + b4246
       + b4330 + b4371 + b4478 + b4734 + b4828 + b4839 + b4920 + b5127 + b5292
       + b5432 + b5465 + b5519 + b5521 + b5553 + b5586 + b5747 + b5784 + b5806
       + b5816 + b6122 + b6188 + b6211 + b6262 + b6305 + b6338 + b6380 + b6503
       + b6523 + b6539 + b6545 + b6574 + b6696 + b6718 + b6776 + b6891 + b7007
       + b7034 + b7293 + b7390 + b7444 + b7457 + b7518 + b7616 + b7619 + b7815
       + b7828 + b7842 + b7957 + b8024 + b8087 + b8174 + b8187 + b8199 + b8205
       + b8277 + b8297 + b8313 + b8376 + b8396 + b8496 + b8554 + b8563 + b8597
       + b8616 + b8619 + b8628 + b8645 + b8664 + b8678 = 1;

e554:    b199 + b344 + b622 + b651 + b702 + b768 + b966 + b1014 + b1017 + b1095
       + b1108 + b1205 + b1416 + b1444 + b1474 + b1480 + b1519 + b1529 + b1542
       + b1657 + b1689 + b1717 + b1778 + b1865 + b1877 + b1900 + b1999 + b2005
       + b2023 + b2132 + b2134 + b2152 + b2161 + b2215 + b2239 + b2335 + b2341
       + b2354 + b2519 + b2570 + b2578 + b2596 + b2606 + b2811 + b2930 + b3010
       + b3124 + b3162 + b3188 + b3201 + b3202 + b3351 + b3390 + b3408 + b3556
       + b3658 + b3769 + b3805 + b3821 + b3867 + b3875 + b3922 + b3950 + b3961
       + b3989 + b4011 + b4330 + b4371 + b4478 + b4734 + b4828 + b4839 + b4920
       + b5127 + b5292 + b5432 + b5465 + b5519 + b5521 + b5530 + b5553 + b5586
       + b5747 + b5784 + b5806 + b5816 + b6122 + b6188 + b6211 + b6262 + b6305
       + b6338 + b6380 + b6503 + b6523 + b6545 + b6574 + b6696 + b6718 + b6776
       + b6891 + b7007 + b7034 + b7288 + b7293 + b7390 + b7444 + b7457 + b7518
       + b7616 + b7619 + b7745 + b7815 + b7828 + b7842 + b7957 + b8024 + b8087
       + b8174 + b8187 + b8199 + b8205 + b8277 + b8297 + b8313 + b8376 + b8396
       + b8496 + b8554 + b8563 + b8597 + b8616 + b8619 + b8628 + b8645 + b8664
       + b8678 = 1;

e555:    b537 + b976 + b1398 + b1693 + b1807 + b1848 + b1905 + b2250 + b2257
       + b3395 + b3867 + b3976 + b4111 + b4895 + b5596 + b6319 + b6672 + b6706
       + b6726 + b6888 + b7690 + b7874 + b7915 + b8519 = 1;

e556:    b537 + b1102 + b1398 + b1693 + b1807 + b1848 + b1905 + b2250 + b2257
       + b3395 + b3477 + b3867 + b3976 + b4111 + b4895 + b4930 + b5596 + b6319
       + b6672 + b6692 + b6706 + b6726 + b6888 + b7183 + b7690 + b7821 + b7874
       + b7915 + b8519 = 1;

e557:    b107 + b262 + b537 + b813 + b1079 + b1102 + b1109 + b1277 + b1398
       + b1628 + b1693 + b1712 + b1773 + b1812 + b2221 + b2238 + b2277 + b2317
       + b2371 + b3395 + b3650 + b3825 + b3845 + b3890 + b4072 + b4111 + b4270
       + b4446 + b4480 + b4508 + b4692 + b4966 + b5253 + b5365 + b5596 + b5682
       + b5720 + b5780 + b6182 + b6228 + b6286 + b6602 + b6604 + b6679 + b6682
       + b6683 + b6792 + b6850 + b6905 + b6923 + b7268 + b7425 + b7515 + b7582
       + b7735 + b7832 + b7944 + b7991 + b8267 + b8283 + b8290 + b8317 + b8402
       + b8533 + b8884 = 1;

e558:    b448 + b486 + b722 + b813 + b935 + b1079 + b1102 + b1176 + b1283
       + b1337 + b1381 + b1571 + b1628 + b1693 + b1812 + b1819 + b1848 + b1905
       + b2319 + b2740 + b3339 + b3534 + b3650 + b3825 + b3845 + b3890 + b3980
       + b4111 + b4204 + b4238 + b4270 + b4583 + b4965 + b4976 + b5253 + b5332
       + b5702 + b5720 + b6171 + b6228 + b6252 + b6286 + b6404 + b6438 + b6602
       + b6679 + b6726 + b7192 + b7425 + b7549 + b7832 + b7991 + b8073 + b8259
       + b8283 + b8290 + b8365 + b8519 + b8601 + b8681 = 1;

e559:    b486 + b722 + b1079 + b1102 + b1176 + b1571 + b1628 + b1693 + b1812
       + b1819 + b2319 + b3144 + b3534 + b3845 + b3890 + b3980 + b4270 + b4819
       + b4976 + b5253 + b6171 + b6228 + b6252 + b6286 + b6404 + b6602 + b6726
       + b7058 + b7192 + b7425 + b7549 + b7832 + b8073 + b8259 + b8283 + b8365
       + b8601 = 1;

e560:    b82 + b486 + b504 + b697 + b716 + b722 + b801 + b866 + b1079 + b1176
       + b1264 + b1398 + b1628 + b1647 + b1693 + b1738 + b1812 + b1819 + b1950
       + b2031 + b2221 + b2238 + b2255 + b2265 + b2319 + b2329 + b2570 + b2621
       + b3025 + b3345 + b3534 + b3845 + b3890 + b3995 + b4072 + b4270 + b4480
       + b4560 + b4571 + b4692 + b4819 + b4976 + b5253 + b5306 + b5353 + b5365
       + b5381 + b5903 + b6171 + b6228 + b6252 + b6286 + b6404 + b6497 + b6602
       + b6604 + b6682 + b6698 + b6726 + b7058 + b7068 + b7192 + b7425 + b7445
       + b7515 + b7549 + b7832 + b7944 + b8073 + b8259 + b8283 + b8317 + b8361
       + b8365 + b8601 + b8678 + b8884 = 1;

e561:    b82 + b168 + b197 + b486 + b504 + b697 + b716 + b722 + b801 + b866
       + b1079 + b1176 + b1264 + b1398 + b1436 + b1628 + b1647 + b1693 + b1738
       + b1812 + b1819 + b1950 + b2031 + b2221 + b2238 + b2255 + b2265 + b2319
       + b2329 + b2404 + b2570 + b2621 + b3025 + b3105 + b3345 + b3534 + b3712
       + b3845 + b3890 + b3995 + b4072 + b4270 + b4480 + b4560 + b4571 + b4582
       + b4692 + b4701 + b4819 + b4976 + b5253 + b5306 + b5353 + b5365 + b5381
       + b5851 + b5871 + b5903 + b5913 + b6171 + b6228 + b6252 + b6286 + b6404
       + b6497 + b6602 + b6604 + b6682 + b6698 + b6726 + b6888 + b7058 + b7068
       + b7192 + b7425 + b7445 + b7515 + b7549 + b7832 + b7944 + b8073 + b8084
       + b8103 + b8180 + b8259 + b8283 + b8317 + b8361 + b8365 + b8601 + b8678
       + b8884 = 1;

e562:    b139 + b214 + b375 + b416 + b596 + b670 + b749 + b904 + b986 + b1027
       + b1044 + b1156 + b1158 + b1162 + b1207 + b1264 + b1269 + b1403 + b1598
       + b1671 + b1733 + b1855 + b1870 + b1902 + b1944 + b2119 + b2151 + b2201
       + b2495 + b2552 + b2709 + b2812 + b2906 + b3120 + b3152 + b3344 + b3382
       + b3383 + b3449 + b3460 + b3466 + b3531 + b3660 + b3874 + b3944 + b3948
       + b4045 + b4060 + b4068 + b4076 + b4085 + b4090 + b4149 + b4210 + b4284
       + b4285 + b4291 + b4300 + b4691 + b4824 + b4900 + b5047 + b5113 + b5117
       + b5328 + b5390 + b5394 + b5478 + b5576 + b5578 + b5670 + b5759 + b5775
       + b6088 + b6103 + b6116 + b6271 + b6294 + b6343 + b6363 + b6401 + b6628
       + b6643 + b6833 + b6893 + b6968 + b6992 + b7221 + b7286 + b7314 + b7322
       + b7350 + b7370 + b7387 + b7578 + b7586 + b7642 + b7657 + b7694 + b7805
       + b7810 + b7902 + b7950 + b7954 + b8365 + b8464 + b8558 + b8657 + b8720
       = 1;

e563:    b139 + b214 + b375 + b416 + b596 + b670 + b749 + b904 + b986 + b1027
       + b1040 + b1044 + b1156 + b1158 + b1162 + b1207 + b1264 + b1269 + b1403
       + b1598 + b1671 + b1733 + b1855 + b1870 + b1971 + b2119 + b2151 + b2201
       + b2495 + b2552 + b2664 + b2709 + b2722 + b2812 + b2906 + b3120 + b3152
       + b3344 + b3382 + b3383 + b3449 + b3460 + b3466 + b3531 + b3660 + b3874
       + b3944 + b3948 + b4045 + b4060 + b4068 + b4076 + b4085 + b4090 + b4149
       + b4210 + b4284 + b4285 + b4300 + b4691 + b4824 + b4900 + b4952 + b5047
       + b5113 + b5117 + b5328 + b5390 + b5394 + b5576 + b5578 + b5670 + b5759
       + b5775 + b6088 + b6103 + b6116 + b6271 + b6294 + b6343 + b6363 + b6410
       + b6628 + b6643 + b6833 + b6893 + b6968 + b6992 + b7132 + b7221 + b7286
       + b7314 + b7322 + b7350 + b7370 + b7387 + b7578 + b7586 + b7642 + b7657
       + b7684 + b7694 + b7805 + b7810 + b7902 + b7950 + b7954 + b8365 + b8464
       + b8558 + b8720 = 1;

e564:    b139 + b214 + b375 + b416 + b583 + b596 + b670 + b749 + b904 + b986
       + b1007 + b1027 + b1044 + b1156 + b1158 + b1162 + b1207 + b1264 + b1269
       + b1403 + b1598 + b1671 + b1733 + b1855 + b1870 + b2119 + b2495 + b2552
       + b2709 + b2812 + b2853 + b2906 + b3120 + b3152 + b3344 + b3382 + b3383
       + b3449 + b3460 + b3466 + b3531 + b3660 + b3874 + b3944 + b3948 + b4045
       + b4060 + b4068 + b4076 + b4085 + b4090 + b4149 + b4284 + b4285 + b4300
       + b4691 + b4824 + b4900 + b5047 + b5113 + b5117 + b5171 + b5328 + b5390
       + b5394 + b5576 + b5578 + b5748 + b5759 + b5775 + b6088 + b6103 + b6116
       + b6271 + b6294 + b6343 + b6363 + b6643 + b6833 + b6893 + b6968 + b6992
       + b7221 + b7286 + b7314 + b7344 + b7350 + b7370 + b7387 + b7578 + b7586
       + b7642 + b7657 + b7694 + b7805 + b7810 + b7902 + b7950 + b7954 + b8365
       + b8464 + b8558 + b8694 + b8720 = 1;

e565:    b64 + b229 + b285 + b343 + b362 + b391 + b416 + b583 + b619 + b650
       + b670 + b707 + b937 + b979 + b986 + b1027 + b1116 + b1144 + b1156
       + b1158 + b1264 + b1376 + b1403 + b1426 + b1515 + b1553 + b1623 + b1645
       + b1712 + b1735 + b1870 + b1927 + b1945 + b2008 + b2024 + b2030 + b2033
       + b2045 + b2095 + b2106 + b2111 + b2151 + b2235 + b2242 + b2261 + b2271
       + b2365 + b2398 + b2422 + b2460 + b2539 + b2552 + b2712 + b2759 + b2763
       + b2812 + b3002 + b3129 + b3152 + b3284 + b3344 + b3369 + b3382 + b3451
       + b3452 + b3460 + b3466 + b3506 + b3531 + b3550 + b3636 + b3639 + b3660
       + b3674 + b3717 + b3763 + b3913 + b3944 + b3948 + b3962 + b4010 + b4044
       + b4045 + b4076 + b4090 + b4161 + b4265 + b4285 + b4300 + b4329 + b4395
       + b4412 + b4633 + b4692 + b4716 + b4799 + b4831 + b4900 + b4966 + b4969
       + b5047 + b5062 + b5069 + b5086 + b5098 + b5171 + b5262 + b5361 + b5513
       + b5559 + b5570 + b5578 + b5595 + b5759 + b5794 + b5853 + b5858 + b5947
       + b5961 + b6088 + b6116 + b6205 + b6271 + b6294 + b6320 + b6342 + b6413
       + b6515 + b6525 + b6559 + b6603 + b6687 + b6699 + b6711 + b6753 + b6904
       + b6905 + b7036 + b7067 + b7085 + b7154 + b7286 + b7314 + b7325 + b7370
       + b7387 + b7435 + b7509 + b7528 + b7578 + b7657 + b7674 + b7796 + b7797
       + b7805 + b7810 + b7819 + b7860 + b7869 + b7902 + b8039 + b8053 + b8117
       + b8171 + b8306 + b8544 + b8556 + b8567 + b8618 + b8649 + b8694 + b8839
       + b8856 + b8864 = 1;

e566:    b64 + b285 + b362 + b364 + b391 + b404 + b583 + b619 + b620 + b670
       + b707 + b937 + b986 + b1027 + b1116 + b1156 + b1162 + b1207 + b1264
       + b1376 + b1403 + b1426 + b1553 + b1598 + b1623 + b1676 + b1688 + b1712
       + b1870 + b2008 + b2024 + b2033 + b2106 + b2151 + b2201 + b2235 + b2242
       + b2271 + b2365 + b2398 + b2422 + b2460 + b2537 + b2539 + b2552 + b2712
       + b2759 + b2763 + b2853 + b3152 + b3344 + b3382 + b3449 + b3460 + b3463
       + b3466 + b3505 + b3550 + b3639 + b3660 + b3674 + b3717 + b3763 + b3948
       + b4010 + b4076 + b4090 + b4098 + b4107 + b4131 + b4284 + b4285 + b4300
       + b4329 + b4395 + b4412 + b4633 + b4692 + b4791 + b4831 + b4844 + b4900
       + b4966 + b4969 + b5069 + b5071 + b5086 + b5098 + b5361 + b5395 + b5570
       + b5595 + b5759 + b5853 + b5947 + b5961 + b6088 + b6103 + b6116 + b6205
       + b6271 + b6342 + b6410 + b6432 + b6504 + b6515 + b6559 + b6582 + b6687
       + b6699 + b6711 + b6753 + b6904 + b6955 + b7009 + b7067 + b7154 + b7325
       + b7370 + b7387 + b7578 + b7648 + b7657 + b7674 + b7797 + b7805 + b7810
       + b8039 + b8117 + b8322 + b8474 + b8493 + b8504 + b8618 + b8620 + b8726
       + b8734 + b8839 + b8864 = 1;

e567:    b257 + b364 + b391 + b583 + b620 + b707 + b998 + b1044 + b1087 + b1116
       + b1156 + b1321 + b1376 + b1426 + b1430 + b1472 + b1482 + b1484 + b1553
       + b1623 + b1676 + b1712 + b1979 + b2024 + b2033 + b2105 + b2106 + b2222
       + b2242 + b2271 + b2425 + b2728 + b2731 + b2827 + b2853 + b2892 + b2906
       + b3382 + b3463 + b3550 + b3616 + b3717 + b3722 + b3806 + b3948 + b4086
       + b4090 + b4255 + b4284 + b4329 + b4395 + b4412 + b4467 + b4821 + b4831
       + b5069 + b5268 + b5901 + b5947 + b5961 + b6088 + b6116 + b6271 + b6277
       + b6375 + b6432 + b6643 + b6656 + b6699 + b6711 + b6955 + b7120 + b7134
       + b7154 + b7248 + b7387 + b7586 + b7602 + b7805 + b7808 + b8039 + b8113
       + b8322 + b8451 + b8558 + b8618 + b8622 + b8634 + b8734 + b8810 = 1;

e568:    b244 + b257 + b364 + b391 + b583 + b620 + b707 + b998 + b1044 + b1087
       + b1116 + b1321 + b1376 + b1426 + b1430 + b1472 + b1482 + b1484 + b1553
       + b1623 + b1676 + b1712 + b1993 + b2024 + b2033 + b2105 + b2222 + b2242
       + b2271 + b2425 + b2728 + b2731 + b2827 + b2853 + b2892 + b3463 + b3550
       + b3616 + b3722 + b3806 + b4086 + b4255 + b4284 + b4329 + b4412 + b4467
       + b4684 + b4821 + b4831 + b5067 + b5069 + b5268 + b5901 + b5961 + b6088
       + b6277 + b6375 + b6643 + b6656 + b6699 + b6711 + b7120 + b7134 + b7154
       + b7248 + b7586 + b7602 + b7808 + b8039 + b8113 + b8451 + b8558 + b8618
       + b8622 + b8634 + b8708 + b8810 = 1;

e569:    b231 + b244 + b259 + b279 + b362 + b391 + b548 + b572 + b649 + b670
       + b707 + b710 + b768 + b795 + b876 + b919 + b1044 + b1054 + b1087
       + b1116 + b1222 + b1321 + b1395 + b1402 + b1426 + b1482 + b1712 + b1856
       + b1993 + b2024 + b2090 + b2159 + b2222 + b2271 + b2301 + b2365 + b2393
       + b2543 + b2547 + b2567 + b2671 + b2703 + b2705 + b2712 + b2749 + b2788
       + b2827 + b2887 + b2911 + b2951 + b3161 + b3186 + b3376 + b3463 + b3466
       + b3519 + b3536 + b3546 + b3550 + b3616 + b3696 + b3713 + b3722 + b3737
       + b4025 + b4149 + b4273 + b4284 + b4285 + b4300 + b4382 + b4402 + b4412
       + b4467 + b4664 + b4684 + b4691 + b4724 + b4966 + b5066 + b5067 + b5085
       + b5117 + b5215 + b5319 + b5359 + b5670 + b5675 + b5681 + b5744 + b5770
       + b5790 + b5850 + b5901 + b5932 + b5958 + b6088 + b6103 + b6332 + b6401
       + b6622 + b6643 + b6699 + b6711 + b6833 + b6867 + b6886 + b6928 + b6968
       + b7262 + b7349 + b7370 + b7397 + b7459 + b7567 + b7570 + b7578 + b7586
       + b7677 + b7786 + b7938 + b7986 + b8040 + b8050 + b8061 + b8250 + b8520
       + b8523 + b8558 + b8634 + b8677 + b8708 + b8739 + b8770 + b8846 = 1;

e570:    b231 + b244 + b259 + b279 + b362 + b391 + b548 + b572 + b649 + b670
       + b707 + b710 + b768 + b795 + b876 + b919 + b1044 + b1054 + b1087
       + b1116 + b1222 + b1321 + b1395 + b1402 + b1426 + b1482 + b1528 + b1712
       + b1856 + b1889 + b1923 + b1993 + b2024 + b2086 + b2090 + b2159 + b2222
       + b2271 + b2301 + b2365 + b2393 + b2543 + b2547 + b2567 + b2671 + b2703
       + b2705 + b2712 + b2749 + b2788 + b2827 + b2838 + b2887 + b2911 + b2951
       + b3161 + b3186 + b3376 + b3463 + b3466 + b3519 + b3536 + b3546 + b3550
       + b3616 + b3696 + b3713 + b3722 + b3737 + b4025 + b4070 + b4149 + b4273
       + b4280 + b4284 + b4285 + b4300 + b4382 + b4402 + b4412 + b4467 + b4664
       + b4684 + b4691 + b4724 + b4966 + b5066 + b5067 + b5085 + b5117 + b5153
       + b5215 + b5319 + b5359 + b5670 + b5675 + b5681 + b5744 + b5770 + b5790
       + b5850 + b5901 + b5932 + b5958 + b6088 + b6103 + b6332 + b6401 + b6505
       + b6622 + b6643 + b6699 + b6711 + b6833 + b6867 + b6886 + b6928 + b6968
       + b7262 + b7349 + b7370 + b7397 + b7459 + b7567 + b7570 + b7578 + b7586
       + b7677 + b7781 + b7786 + b7938 + b7986 + b8040 + b8050 + b8061 + b8250
       + b8520 + b8523 + b8558 + b8634 + b8677 + b8708 + b8739 + b8770 + b8846
       = 1;

e571:    b346 + b351 + b438 + b495 + b631 + b736 + b857 + b947 + b1271 + b1272
       + b1650 + b2109 + b2124 + b2231 + b2449 + b2595 + b2626 + b2637 + b2742
       + b2869 + b2907 + b3428 + b3503 + b3615 + b3956 + b4143 + b4393 + b4430
       + b4848 + b4986 + b5287 + b5509 + b5611 + b5673 + b5845 + b5865 + b6109
       + b6430 + b6556 + b7013 + b7016 + b7045 + b7113 + b7127 + b7288 + b7436
       + b7495 + b7849 + b7896 + b7908 + b8130 + b8160 + b8449 + b8584 + b8773
       + b8827 = 1;

e572:    b96 + b279 + b346 + b351 + b438 + b495 + b631 + b736 + b857 + b1271
       + b1272 + b1650 + b2109 + b2124 + b2231 + b2449 + b2543 + b2595 + b2626
       + b2628 + b2637 + b2737 + b2742 + b2767 + b2869 + b2907 + b3339 + b3428
       + b3503 + b3615 + b3956 + b4143 + b4393 + b4430 + b4848 + b4986 + b5287
       + b5457 + b5509 + b5611 + b5673 + b5845 + b5865 + b6109 + b6430 + b6556
       + b6782 + b6886 + b7013 + b7016 + b7045 + b7113 + b7127 + b7288 + b7436
       + b7495 + b7849 + b7896 + b7908 + b8130 + b8160 + b8449 + b8584 + b8773
       + b8827 = 1;

e573:    b346 + b559 + b631 + b700 + b917 + b1094 + b1255 + b1271 + b1272
       + b1576 + b1650 + b2093 + b2109 + b2121 + b2279 + b2595 + b2629 + b2636
       + b2672 + b2782 + b2869 + b2984 + b3224 + b3458 + b3503 + b3705 + b4848
       + b4986 + b4991 + b5015 + b5118 + b5196 + b5350 + b5521 + b5606 + b5673
       + b5685 + b5845 + b6479 + b6506 + b6799 + b7276 + b7288 + b7307 + b7425
       + b7482 + b7745 + b7892 + b7896 + b7908 + b7968 + b7997 + b8074 + b8167
       + b8178 + b8215 + b8449 + b8452 = 1;

e574:    b346 + b631 + b917 + b1576 + b1650 + b2109 + b2121 + b2279 + b2351
       + b2364 + b2595 + b2629 + b2782 + b3163 + b3615 + b4166 + b4565 + b4848
       + b4986 + b5015 + b5118 + b5425 + b5606 + b6827 + b7968 + b8130 + b8167
       + b8178 + b8449 + b8452 = 1;

e575:    b22 + b56 + b346 + b351 + b407 + b491 + b603 + b1240 + b1373 + b1465
       + b1576 + b1650 + b2109 + b2178 + b2251 + b2267 + b2279 + b2351 + b2364
       + b2409 + b2499 + b2595 + b2629 + b2637 + b2690 + b2744 + b2782 + b3066
       + b3163 + b3438 + b3798 + b4056 + b4195 + b4225 + b4693 + b4848 + b4957
       + b4975 + b4986 + b4999 + b5118 + b5303 + b5572 + b5606 + b6362 + b6386
       + b6615 + b6649 + b6697 + b6729 + b6827 + b6835 + b7226 + b8130 + b8160
       + b8178 + b8449 + b8452 + b8823 + b8904 = 1;

e576:    b22 + b56 + b346 + b351 + b407 + b491 + b603 + b980 + b1240 + b1373
       + b1465 + b1576 + b1650 + b2109 + b2178 + b2251 + b2267 + b2279 + b2351
       + b2364 + b2409 + b2499 + b2629 + b2637 + b2690 + b2744 + b2782 + b3066
       + b3163 + b3438 + b3448 + b3798 + b4056 + b4195 + b4693 + b4957 + b4975
       + b4986 + b4999 + b5118 + b5303 + b5350 + b5572 + b5606 + b6362 + b6386
       + b6615 + b6649 + b6697 + b6729 + b6827 + b6835 + b7226 + b7626 + b8130
       + b8160 + b8178 + b8449 + b8452 + b8823 + b8904 = 1;

e577:    b22 + b56 + b346 + b351 + b491 + b1240 + b1465 + b1576 + b1650 + b2109
       + b2251 + b2267 + b2279 + b2351 + b2364 + b2409 + b2499 + b2629 + b2637
       + b2744 + b3066 + b3163 + b3438 + b3798 + b4056 + b4195 + b4231 + b4298
       + b4693 + b4975 + b4986 + b4999 + b5118 + b5303 + b5572 + b5606 + b6362
       + b6386 + b6615 + b6649 + b6697 + b6729 + b6827 + b6835 + b7226 + b8130
       + b8160 + b8178 + b8449 + b8452 + b8904 = 1;

e578:    b22 + b56 + b346 + b351 + b491 + b1240 + b1465 + b1576 + b1650 + b2033
       + b2109 + b2251 + b2267 + b2279 + b2351 + b2364 + b2409 + b2499 + b2595
       + b2629 + b2637 + b2744 + b3066 + b3163 + b3438 + b3798 + b4056 + b4195
       + b4225 + b4231 + b4298 + b4693 + b4975 + b4986 + b4999 + b5118 + b5303
       + b5572 + b5606 + b6362 + b6386 + b6615 + b6649 + b6697 + b6729 + b6827
       + b6835 + b7226 + b7576 + b8130 + b8160 + b8178 + b8449 + b8452 + b8904
       = 1;

e579:    b10 + b42 + b69 + b185 + b331 + b393 + b560 + b616 + b704 + b723
       + b724 + b753 + b769 + b787 + b798 + b820 + b1066 + b1100 + b1117
       + b1165 + b1234 + b1255 + b1288 + b1340 + b1498 + b1532 + b1557 + b1565
       + b1577 + b1747 + b1770 + b1774 + b1936 + b1946 + b2010 + b2050 + b2051
       + b2070 + b2108 + b2154 + b2172 + b2207 + b2230 + b2267 + b2308 + b2318
       + b2502 + b2677 + b2779 + b2854 + b2938 + b2957 + b2976 + b2988 + b3031
       + b3066 + b3081 + b3089 + b3275 + b3339 + b3458 + b3496 + b3528 + b3554
       + b3702 + b3783 + b3794 + b3992 + b4007 + b4205 + b4219 + b4267 + b4364
       + b4388 + b4472 + b4538 + b4710 + b4763 + b4816 + b4840 + b4971 + b4991
       + b4993 + b5030 + b5168 + b5189 + b5212 + b5243 + b5303 + b5401 + b5457
       + b5483 + b5523 + b5536 + b5641 + b5706 + b5834 + b5982 + b5986 + b6104
       + b6173 + b6190 + b6200 + b6214 + b6449 + b6478 + b6586 + b6648 + b6671
       + b6674 + b6748 + b7046 + b7186 + b7231 + b7239 + b7308 + b7383 + b7407
       + b7448 + b7504 + b7512 + b7679 + b7756 + b7762 + b7880 + b8049 + b8356
       + b8413 + b8539 + b8736 + b8871 + b8888 + b8890 = 1;

e580:    b10 + b42 + b69 + b331 + b393 + b560 + b616 + b704 + b723 + b724
       + b753 + b769 + b787 + b798 + b820 + b1066 + b1100 + b1117 + b1165
       + b1234 + b1255 + b1288 + b1340 + b1532 + b1557 + b1565 + b1577 + b1747
       + b1770 + b1936 + b1946 + b2010 + b2050 + b2051 + b2070 + b2108 + b2154
       + b2172 + b2207 + b2230 + b2267 + b2308 + b2318 + b2502 + b2677 + b2779
       + b2854 + b2938 + b2957 + b2976 + b2988 + b3031 + b3066 + b3081 + b3089
       + b3275 + b3339 + b3458 + b3496 + b3528 + b3554 + b3702 + b3783 + b3977
       + b3992 + b4007 + b4205 + b4219 + b4267 + b4364 + b4388 + b4445 + b4472
       + b4538 + b4710 + b4816 + b4840 + b4971 + b4991 + b4993 + b5030 + b5168
       + b5189 + b5212 + b5243 + b5303 + b5401 + b5457 + b5483 + b5523 + b5536
       + b5641 + b5706 + b5834 + b5982 + b5986 + b6104 + b6190 + b6200 + b6449
       + b6478 + b6586 + b6648 + b6671 + b6674 + b6748 + b7046 + b7186 + b7231
       + b7239 + b7308 + b7383 + b7407 + b7448 + b7504 + b7512 + b7679 + b7756
       + b7762 + b7880 + b8049 + b8356 + b8539 + b8736 + b8871 + b8888 + b8890
       = 1;

e581:    b10 + b42 + b69 + b170 + b331 + b393 + b560 + b616 + b704 + b723
       + b724 + b753 + b769 + b787 + b798 + b820 + b979 + b1066 + b1100 + b1117
       + b1165 + b1234 + b1255 + b1288 + b1340 + b1502 + b1532 + b1557 + b1565
       + b1577 + b1747 + b1770 + b1936 + b1946 + b2010 + b2050 + b2051 + b2070
       + b2108 + b2154 + b2172 + b2207 + b2230 + b2267 + b2308 + b2318 + b2502
       + b2677 + b2779 + b2805 + b2854 + b2938 + b2957 + b2976 + b2988 + b3031
       + b3066 + b3081 + b3089 + b3275 + b3339 + b3458 + b3496 + b3528 + b3554
       + b3555 + b3622 + b3664 + b3702 + b3783 + b3809 + b3977 + b3992 + b4007
       + b4205 + b4267 + b4364 + b4388 + b4445 + b4472 + b4538 + b4587 + b4703
       + b4710 + b4716 + b4816 + b4840 + b4971 + b4991 + b4993 + b5030 + b5168
       + b5189 + b5212 + b5243 + b5303 + b5351 + b5401 + b5457 + b5483 + b5523
       + b5536 + b5641 + b5706 + b5834 + b5975 + b5982 + b5986 + b6104 + b6190
       + b6200 + b6298 + b6449 + b6478 + b6586 + b6648 + b6671 + b6674 + b6748
       + b6807 + b7046 + b7107 + b7186 + b7231 + b7239 + b7308 + b7383 + b7407
       + b7448 + b7504 + b7512 + b7627 + b7679 + b7756 + b7762 + b7880 + b8049
       + b8356 + b8539 + b8704 + b8736 + b8871 + b8888 + b8890 = 1;

e582:    b10 + b42 + b69 + b76 + b126 + b155 + b171 + b177 + b185 + b331 + b354
       + b393 + b394 + b424 + b442 + b451 + b494 + b589 + b616 + b704 + b769
       + b798 + b820 + b890 + b934 + b944 + b961 + b1042 + b1050 + b1066
       + b1100 + b1117 + b1140 + b1165 + b1255 + b1288 + b1313 + b1518 + b1557
       + b1614 + b1675 + b1745 + b1747 + b1770 + b1773 + b1774 + b1816 + b1986
       + b2010 + b2021 + b2028 + b2050 + b2051 + b2070 + b2082 + b2115 + b2154
       + b2172 + b2198 + b2230 + b2267 + b2374 + b2390 + b2396 + b2502 + b2598
       + b2681 + b2691 + b2718 + b2732 + b2741 + b2779 + b2854 + b2922 + b2938
       + b2957 + b3031 + b3066 + b3081 + b3089 + b3132 + b3191 + b3267 + b3275
       + b3297 + b3397 + b3458 + b3528 + b3555 + b3567 + b3601 + b3664 + b3745
       + b3783 + b3812 + b3927 + b3992 + b4007 + b4116 + b4154 + b4267 + b4364
       + b4388 + b4422 + b4472 + b4522 + b4535 + b4538 + b4576 + b4615 + b4751
       + b4763 + b4871 + b4882 + b4912 + b5121 + b5130 + b5149 + b5189 + b5241
       + b5243 + b5303 + b5342 + b5483 + b5488 + b5523 + b5536 + b5550 + b5634
       + b5641 + b5706 + b5733 + b5747 + b5764 + b5817 + b5834 + b5981 + b6077
       + b6104 + b6111 + b6150 + b6176 + b6190 + b6200 + b6206 + b6586 + b6648
       + b6671 + b6697 + b6719 + b6748 + b6774 + b6808 + b6879 + b7086 + b7095
       + b7158 + b7164 + b7172 + b7204 + b7285 + b7308 + b7407 + b7410 + b7448
       + b7479 + b7504 + b7612 + b7656 + b7679 + b7762 + b7794 + b7880 + b7941
       + b8036 + b8049 + b8149 + b8163 + b8196 + b8252 + b8356 + b8370 + b8383
       + b8402 + b8550 + b8596 + b8626 + b8699 + b8704 + b8746 + b8754 + b8758
       + b8797 + b8871 + b8888 + b8890 = 1;

e583:    b42 + b69 + b76 + b155 + b171 + b177 + b185 + b331 + b354 + b393
       + b394 + b424 + b442 + b451 + b494 + b540 + b589 + b616 + b704 + b769
       + b798 + b820 + b890 + b944 + b961 + b1042 + b1066 + b1117 + b1140
       + b1165 + b1255 + b1313 + b1518 + b1557 + b1745 + b1747 + b1770 + b1773
       + b1774 + b2010 + b2017 + b2021 + b2028 + b2040 + b2051 + b2070 + b2082
       + b2154 + b2198 + b2207 + b2230 + b2374 + b2390 + b2396 + b2502 + b2598
       + b2681 + b2691 + b2718 + b2732 + b2741 + b2922 + b2938 + b2957 + b3031
       + b3081 + b3089 + b3132 + b3275 + b3397 + b3458 + b3528 + b3555 + b3567
       + b3601 + b3664 + b3745 + b3783 + b3812 + b3992 + b4001 + b4007 + b4116
       + b4154 + b4184 + b4267 + b4336 + b4364 + b4422 + b4472 + b4522 + b4535
       + b4538 + b4576 + b4763 + b4871 + b4882 + b5121 + b5130 + b5149 + b5189
       + b5241 + b5243 + b5342 + b5410 + b5483 + b5523 + b5536 + b5550 + b5634
       + b5641 + b5706 + b5733 + b5764 + b5817 + b5884 + b5981 + b6104 + b6142
       + b6150 + b6176 + b6190 + b6200 + b6206 + b6395 + b6578 + b6586 + b6671
       + b6719 + b6748 + b6774 + b6808 + b6879 + b7086 + b7095 + b7164 + b7172
       + b7204 + b7285 + b7308 + b7407 + b7410 + b7479 + b7504 + b7612 + b7656
       + b7679 + b7762 + b7794 + b7880 + b7933 + b7941 + b8036 + b8049 + b8149
       + b8163 + b8196 + b8252 + b8356 + b8370 + b8383 + b8402 + b8596 + b8626
       + b8699 + b8746 + b8758 + b8797 + b8871 + b8888 + b8890 = 1;

e584:    b69 + b74 + b76 + b154 + b155 + b171 + b185 + b219 + b354 + b370
       + b394 + b424 + b442 + b451 + b466 + b494 + b540 + b589 + b661 + b704
       + b769 + b774 + b797 + b798 + b820 + b961 + b1042 + b1066 + b1117
       + b1140 + b1165 + b1192 + b1197 + b1313 + b1518 + b1557 + b1699 + b1728
       + b1741 + b1773 + b1774 + b1849 + b1926 + b1946 + b1947 + b2010 + b2017
       + b2021 + b2028 + b2040 + b2070 + b2154 + b2207 + b2230 + b2374 + b2379
       + b2390 + b2396 + b2598 + b2660 + b2691 + b2718 + b2741 + b2922 + b2938
       + b2948 + b2957 + b3005 + b3008 + b3052 + b3089 + b3132 + b3275 + b3397
       + b3407 + b3422 + b3458 + b3478 + b3528 + b3567 + b3578 + b3601 + b3612
       + b3699 + b3745 + b3783 + b3812 + b3992 + b4007 + b4184 + b4186 + b4197
       + b4205 + b4267 + b4336 + b4422 + b4472 + b4522 + b4538 + b4564 + b4576
       + b4718 + b4763 + b4882 + b5121 + b5130 + b5241 + b5293 + b5342 + b5483
       + b5550 + b5619 + b5634 + b5644 + b5706 + b5728 + b5733 + b5756 + b5817
       + b5841 + b5866 + b5884 + b5933 + b5981 + b6104 + b6112 + b6142 + b6150
       + b6159 + b6176 + b6186 + b6190 + b6209 + b6210 + b6222 + b6395 + b6586
       + b6671 + b6764 + b6774 + b6794 + b6808 + b6879 + b7025 + b7095 + b7105
       + b7164 + b7170 + b7172 + b7204 + b7386 + b7410 + b7472 + b7479 + b7504
       + b7612 + b7656 + b7758 + b7794 + b7933 + b7941 + b8036 + b8049 + b8094
       + b8149 + b8183 + b8196 + b8366 + b8383 + b8393 + b8402 + b8405 + b8429
       + b8498 + b8626 + b8699 + b8746 + b8758 + b8871 + b8890 = 1;

e585:    b69 + b74 + b76 + b154 + b155 + b171 + b185 + b219 + b354 + b370
       + b394 + b424 + b442 + b451 + b466 + b494 + b540 + b571 + b589 + b661
       + b704 + b769 + b774 + b797 + b798 + b820 + b961 + b1042 + b1117 + b1140
       + b1165 + b1192 + b1197 + b1313 + b1361 + b1379 + b1518 + b1557 + b1699
       + b1728 + b1741 + b1773 + b1774 + b1849 + b1926 + b1947 + b2010 + b2017
       + b2028 + b2040 + b2070 + b2154 + b2182 + b2230 + b2374 + b2379 + b2390
       + b2396 + b2598 + b2660 + b2691 + b2718 + b2741 + b2922 + b2938 + b2948
       + b2957 + b3005 + b3008 + b3052 + b3089 + b3132 + b3275 + b3397 + b3407
       + b3422 + b3458 + b3478 + b3524 + b3567 + b3578 + b3601 + b3612 + b3699
       + b3745 + b3783 + b3812 + b3992 + b4007 + b4184 + b4186 + b4197 + b4267
       + b4336 + b4422 + b4522 + b4538 + b4564 + b4576 + b4718 + b4763 + b4882
       + b5043 + b5121 + b5130 + b5151 + b5241 + b5293 + b5342 + b5550 + b5619
       + b5634 + b5644 + b5706 + b5728 + b5733 + b5756 + b5786 + b5817 + b5841
       + b5866 + b5884 + b5933 + b5981 + b6112 + b6142 + b6150 + b6159 + b6176
       + b6186 + b6209 + b6210 + b6222 + b6395 + b6764 + b6774 + b6794 + b6808
       + b6879 + b7025 + b7095 + b7105 + b7164 + b7170 + b7172 + b7204 + b7235
       + b7386 + b7410 + b7472 + b7479 + b7504 + b7612 + b7656 + b7758 + b7794
       + b7925 + b7941 + b8036 + b8049 + b8094 + b8149 + b8183 + b8196 + b8366
       + b8383 + b8393 + b8402 + b8405 + b8429 + b8498 + b8614 + b8651 + b8685
       + b8699 + b8746 + b8758 + b8871 + b8890 = 1;

e586:    b74 + b76 + b154 + b171 + b185 + b347 + b354 + b370 + b379 + b394
       + b451 + b466 + b494 + b589 + b616 + b661 + b769 + b770 + b820 + b844
       + b1117 + b1140 + b1197 + b1244 + b1361 + b1518 + b1699 + b1706 + b1728
       + b1755 + b1770 + b1773 + b1774 + b1783 + b1795 + b1926 + b1946 + b2017
       + b2028 + b2050 + b2051 + b2070 + b2182 + b2379 + b2598 + b2607 + b2660
       + b2706 + b2922 + b2948 + b2957 + b2997 + b3005 + b3008 + b3081 + b3397
       + b3407 + b3422 + b3459 + b3482 + b3524 + b3567 + b3578 + b3601 + b3720
       + b3783 + b3812 + b3943 + b3973 + b3992 + b4422 + b4488 + b4522 + b4538
       + b4564 + b4763 + b5043 + b5130 + b5151 + b5189 + b5243 + b5536 + b5634
       + b5641 + b5728 + b5733 + b5742 + b5756 + b5772 + b5785 + b5786 + b5817
       + b5866 + b5884 + b5933 + b6070 + b6112 + b6142 + b6190 + b6209 + b6210
       + b6222 + b6385 + b6395 + b6477 + b6478 + b6664 + b6764 + b6774 + b6794
       + b6808 + b7025 + b7172 + b7204 + b7308 + b7410 + b7493 + b7504 + b7612
       + b7656 + b7762 + b8049 + b8183 + b8366 + b8383 + b8393 + b8402 + b8429
       + b8498 + b8602 + b8651 + b8685 + b8871 + b8890 = 1;

e587:    b74 + b76 + b154 + b171 + b185 + b347 + b354 + b370 + b394 + b451
       + b466 + b494 + b589 + b616 + b661 + b770 + b820 + b844 + b1117 + b1140
       + b1197 + b1244 + b1361 + b1518 + b1699 + b1706 + b1728 + b1755 + b1770
       + b1773 + b1774 + b1783 + b1795 + b1926 + b1946 + b2017 + b2028 + b2050
       + b2051 + b2070 + b2182 + b2379 + b2598 + b2607 + b2660 + b2706 + b2922
       + b2948 + b2957 + b2997 + b3005 + b3008 + b3081 + b3397 + b3407 + b3422
       + b3459 + b3482 + b3524 + b3567 + b3578 + b3601 + b3720 + b3783 + b3812
       + b3943 + b3973 + b3992 + b4422 + b4488 + b4522 + b4538 + b4564 + b4763
       + b5043 + b5130 + b5151 + b5189 + b5243 + b5536 + b5634 + b5641 + b5728
       + b5733 + b5742 + b5756 + b5772 + b5785 + b5786 + b5817 + b5866 + b5884
       + b5933 + b6070 + b6142 + b6190 + b6210 + b6222 + b6385 + b6395 + b6477
       + b6478 + b6664 + b6764 + b6774 + b6794 + b6808 + b7025 + b7172 + b7204
       + b7308 + b7410 + b7493 + b7504 + b7612 + b7656 + b7762 + b8049 + b8183
       + b8366 + b8383 + b8402 + b8429 + b8498 + b8602 + b8651 + b8685 + b8871
       + b8890 = 1;

e588:    b66 + b69 + b162 + b185 + b347 + b354 + b394 + b466 + b494 + b540
       + b558 + b589 + b616 + b661 + b705 + b770 + b820 + b844 + b961 + b1042
       + b1117 + b1140 + b1165 + b1244 + b1255 + b1313 + b1340 + b1361 + b1379
       + b1480 + b1699 + b1706 + b1714 + b1747 + b1755 + b1770 + b1773 + b1774
       + b1783 + b1795 + b1926 + b2017 + b2021 + b2028 + b2040 + b2050 + b2051
       + b2070 + b2138 + b2154 + b2182 + b2230 + b2295 + b2379 + b2598 + b2607
       + b2695 + b2706 + b2732 + b2741 + b2920 + b2938 + b2948 + b3081 + b3275
       + b3397 + b3422 + b3458 + b3459 + b3478 + b3496 + b3524 + b3531 + b3567
       + b3601 + b3612 + b3720 + b3783 + b3943 + b3973 + b3992 + b4007 + b4024
       + b4184 + b4267 + b4473 + b4538 + b4564 + b4763 + b4853 + b4921 + b4945
       + b4991 + b5043 + b5121 + b5130 + b5151 + b5189 + b5241 + b5536 + b5550
       + b5619 + b5641 + b5706 + b5728 + b5733 + b5742 + b5785 + b5786 + b5866
       + b5884 + b5933 + b5986 + b6038 + b6142 + b6159 + b6200 + b6210 + b6385
       + b6395 + b6478 + b6664 + b6764 + b6879 + b7090 + b7172 + b7204 + b7208
       + b7308 + b7327 + b7479 + b7493 + b7656 + b7758 + b7762 + b7794 + b7880
       + b7925 + b7941 + b8049 + b8183 + b8366 + b8402 + b8405 + b8429 + b8602
       + b8651 + b8758 + b8871 = 1;

e589:    b52 + b61 + b102 + b138 + b211 + b279 + b328 + b358 + b366 + b380
       + b450 + b475 + b548 + b673 + b721 + b730 + b731 + b751 + b773 + b883
       + b914 + b918 + b924 + b952 + b1002 + b1054 + b1131 + b1183 + b1298
       + b1367 + b1389 + b1396 + b1455 + b1482 + b1493 + b1510 + b1522 + b1555
       + b1558 + b1567 + b1578 + b1582 + b1587 + b1642 + b1649 + b1651 + b1724
       + b1737 + b1889 + b2031 + b2181 + b2231 + b2233 + b2321 + b2332 + b2436
       + b2449 + b2548 + b2556 + b2572 + b2594 + b2636 + b2703 + b2705 + b2731
       + b2827 + b2874 + b2892 + b2897 + b2911 + b2961 + b2962 + b2985 + b3054
       + b3063 + b3199 + b3248 + b3277 + b3283 + b3404 + b3502 + b3546 + b3618
       + b3667 + b3690 + b3721 + b3722 + b3751 + b3764 + b3822 + b3829 + b3834
       + b3855 + b3868 + b3903 + b3904 + b3969 + b4013 + b4109 + b4239 + b4255
       + b4323 + b4342 + b4392 + b4394 + b4513 + b4548 + b4610 + b4612 + b4757
       + b4803 + b4818 + b4821 + b4889 + b5052 + b5099 + b5154 + b5173 + b5183
       + b5211 + b5260 + b5263 + b5280 + b5295 + b5326 + b5343 + b5369 + b5398
       + b5454 + b5541 + b5627 + b5662 + b5790 + b5800 + b5849 + b5863 + b5882
       + b5892 + b5894 + b5901 + b5906 + b5983 + b6010 + b6040 + b6052 + b6059
       + b6072 + b6074 + b6135 + b6277 + b6332 + b6534 + b6570 + b6610 + b6727
       + b6819 + b6886 + b6887 + b6980 + b6988 + b7042 + b7120 + b7134 + b7138
       + b7194 + b7248 + b7262 + b7323 + b7335 + b7432 + b7461 + b7488 + b7531
       + b7541 + b7544 + b7558 + b7602 + b7633 + b7665 + b7683 + b7722 + b7761
       + b7807 + b8043 + b8052 + b8055 + b8082 + b8096 + b8114 + b8176 + b8220
       + b8254 + b8271 + b8276 + b8281 + b8294 + b8295 + b8386 + b8445 + b8476
       + b8523 + b8569 + b8622 + b8638 + b8680 + b8715 + b8749 + b8760 + b8810
       + b8875 + b8892 = 1;

e590:    b52 + b61 + b102 + b138 + b211 + b279 + b328 + b358 + b366 + b380
       + b450 + b475 + b548 + b673 + b721 + b730 + b731 + b751 + b773 + b883
       + b914 + b918 + b924 + b952 + b1002 + b1054 + b1131 + b1183 + b1298
       + b1367 + b1389 + b1396 + b1455 + b1482 + b1493 + b1510 + b1522 + b1555
       + b1558 + b1567 + b1578 + b1582 + b1587 + b1642 + b1649 + b1651 + b1724
       + b1737 + b1889 + b2031 + b2181 + b2231 + b2233 + b2321 + b2332 + b2436
       + b2449 + b2548 + b2556 + b2572 + b2594 + b2636 + b2703 + b2705 + b2731
       + b2827 + b2874 + b2892 + b2897 + b2911 + b2961 + b2962 + b2985 + b3054
       + b3063 + b3199 + b3248 + b3277 + b3283 + b3404 + b3502 + b3546 + b3618
       + b3667 + b3690 + b3721 + b3722 + b3751 + b3764 + b3822 + b3829 + b3834
       + b3855 + b3868 + b3903 + b3904 + b3969 + b4013 + b4109 + b4239 + b4255
       + b4323 + b4342 + b4392 + b4394 + b4513 + b4548 + b4610 + b4612 + b4757
       + b4803 + b4818 + b4821 + b4889 + b5052 + b5099 + b5154 + b5173 + b5183
       + b5211 + b5260 + b5263 + b5280 + b5295 + b5326 + b5343 + b5369 + b5398
       + b5454 + b5541 + b5627 + b5662 + b5790 + b5800 + b5849 + b5863 + b5882
       + b5892 + b5894 + b5901 + b5906 + b5983 + b6010 + b6040 + b6052 + b6059
       + b6072 + b6074 + b6135 + b6277 + b6332 + b6534 + b6570 + b6610 + b6727
       + b6819 + b6886 + b6887 + b6980 + b6988 + b7042 + b7120 + b7134 + b7138
       + b7194 + b7248 + b7262 + b7323 + b7335 + b7432 + b7461 + b7488 + b7531
       + b7541 + b7544 + b7558 + b7602 + b7633 + b7665 + b7683 + b7722 + b7761
       + b7807 + b8043 + b8052 + b8055 + b8082 + b8096 + b8114 + b8176 + b8220
       + b8254 + b8271 + b8276 + b8281 + b8294 + b8295 + b8386 + b8445 + b8476
       + b8523 + b8569 + b8622 + b8638 + b8680 + b8715 + b8749 + b8760 + b8810
       + b8875 + b8892 = 1;

e591:    b52 + b61 + b102 + b138 + b211 + b279 + b328 + b358 + b366 + b380
       + b450 + b475 + b548 + b673 + b721 + b730 + b731 + b751 + b773 + b883
       + b914 + b918 + b924 + b952 + b1002 + b1054 + b1093 + b1131 + b1183
       + b1229 + b1298 + b1367 + b1389 + b1396 + b1455 + b1482 + b1493 + b1510
       + b1522 + b1555 + b1558 + b1567 + b1578 + b1582 + b1587 + b1642 + b1649
       + b1651 + b1724 + b1737 + b1889 + b1979 + b2031 + b2181 + b2231 + b2233
       + b2321 + b2332 + b2436 + b2449 + b2548 + b2556 + b2572 + b2594 + b2636
       + b2683 + b2703 + b2705 + b2731 + b2827 + b2874 + b2892 + b2897 + b2911
       + b2961 + b2962 + b2985 + b3054 + b3063 + b3199 + b3248 + b3277 + b3283
       + b3338 + b3404 + b3502 + b3546 + b3618 + b3667 + b3690 + b3721 + b3722
       + b3751 + b3764 + b3822 + b3829 + b3834 + b3855 + b3868 + b3903 + b3904
       + b3969 + b4013 + b4109 + b4239 + b4255 + b4273 + b4323 + b4342 + b4392
       + b4394 + b4513 + b4548 + b4610 + b4612 + b4757 + b4803 + b4818 + b4821
       + b4889 + b5052 + b5066 + b5099 + b5154 + b5173 + b5183 + b5211 + b5260
       + b5263 + b5280 + b5295 + b5319 + b5326 + b5343 + b5369 + b5398 + b5454
       + b5541 + b5627 + b5662 + b5790 + b5800 + b5849 + b5863 + b5882 + b5892
       + b5894 + b5901 + b5906 + b5983 + b6010 + b6040 + b6052 + b6059 + b6072
       + b6074 + b6135 + b6277 + b6332 + b6534 + b6570 + b6610 + b6727 + b6819
       + b6886 + b6887 + b6980 + b6988 + b7042 + b7120 + b7134 + b7138 + b7194
       + b7248 + b7262 + b7323 + b7335 + b7432 + b7461 + b7488 + b7531 + b7541
       + b7544 + b7558 + b7602 + b7633 + b7665 + b7683 + b7722 + b7761 + b7807
       + b8040 + b8043 + b8052 + b8055 + b8082 + b8096 + b8114 + b8176 + b8220
       + b8250 + b8254 + b8271 + b8276 + b8281 + b8294 + b8295 + b8386 + b8445
       + b8476 + b8523 + b8569 + b8622 + b8634 + b8638 + b8680 + b8715 + b8749
       + b8760 + b8810 + b8875 + b8892 = 1;

e592:    b7 + b52 + b61 + b90 + b102 + b211 + b257 + b279 + b307 + b328 + b358
       + b452 + b475 + b484 + b548 + b673 + b721 + b731 + b751 + b883 + b914
       + b918 + b924 + b952 + b1002 + b1054 + b1093 + b1131 + b1183 + b1225
       + b1315 + b1316 + b1367 + b1389 + b1396 + b1455 + b1482 + b1493 + b1510
       + b1522 + b1549 + b1555 + b1567 + b1587 + b1649 + b1651 + b1665 + b1724
       + b1889 + b1928 + b1960 + b1979 + b2031 + b2181 + b2231 + b2321 + b2332
       + b2436 + b2449 + b2548 + b2556 + b2594 + b2636 + b2703 + b2705 + b2731
       + b2826 + b2827 + b2848 + b2862 + b2874 + b2892 + b2895 + b2897 + b2911
       + b2961 + b2962 + b2985 + b3054 + b3063 + b3199 + b3248 + b3277 + b3283
       + b3338 + b3404 + b3502 + b3517 + b3546 + b3618 + b3667 + b3690 + b3721
       + b3722 + b3751 + b3759 + b3764 + b3829 + b3855 + b3868 + b3891 + b3903
       + b3904 + b4003 + b4013 + b4109 + b4239 + b4255 + b4273 + b4323 + b4342
       + b4344 + b4392 + b4394 + b4494 + b4513 + b4548 + b4555 + b4556 + b4610
       + b4612 + b4749 + b4757 + b4818 + b4821 + b4889 + b4968 + b5052 + b5064
       + b5066 + b5099 + b5154 + b5173 + b5183 + b5211 + b5260 + b5263 + b5280
       + b5295 + b5319 + b5322 + b5326 + b5343 + b5369 + b5398 + b5454 + b5541
       + b5627 + b5655 + b5662 + b5695 + b5736 + b5790 + b5800 + b5882 + b5892
       + b5894 + b5901 + b5906 + b6010 + b6022 + b6040 + b6052 + b6059 + b6072
       + b6074 + b6135 + b6170 + b6277 + b6332 + b6369 + b6397 + b6534 + b6570
       + b6610 + b6688 + b6727 + b6767 + b6886 + b6926 + b6967 + b6980 + b6988
       + b7120 + b7134 + b7194 + b7248 + b7262 + b7281 + b7335 + b7432 + b7461
       + b7488 + b7531 + b7541 + b7544 + b7558 + b7602 + b7665 + b7683 + b7722
       + b7807 + b7909 + b8007 + b8040 + b8047 + b8052 + b8055 + b8082 + b8096
       + b8113 + b8114 + b8175 + b8220 + b8250 + b8254 + b8271 + b8281 + b8285
       + b8294 + b8295 + b8296 + b8377 + b8386 + b8445 + b8476 + b8523 + b8622
       + b8634 + b8638 + b8657 + b8680 + b8715 + b8749 + b8756 + b8760 + b8810
       + b8875 = 1;

e593:    b7 + b52 + b90 + b142 + b151 + b168 + b189 + b203 + b211 + b279 + b358
       + b452 + b548 + b673 + b721 + b731 + b823 + b883 + b914 + b918 + b924
       + b942 + b952 + b1002 + b1016 + b1044 + b1099 + b1225 + b1315 + b1316
       + b1367 + b1389 + b1396 + b1468 + b1482 + b1493 + b1510 + b1550 + b1555
       + b1567 + b1587 + b1651 + b1665 + b1724 + b1889 + b1928 + b1939 + b1960
       + b1979 + b2031 + b2086 + b2181 + b2275 + b2288 + b2321 + b2332 + b2404
       + b2425 + b2436 + b2449 + b2473 + b2485 + b2491 + b2498 + b2548 + b2636
       + b2684 + b2694 + b2703 + b2705 + b2729 + b2748 + b2757 + b2827 + b2862
       + b2892 + b2895 + b2935 + b2962 + b3054 + b3055 + b3199 + b3248 + b3277
       + b3278 + b3283 + b3306 + b3336 + b3338 + b3517 + b3646 + b3690 + b3721
       + b3722 + b3759 + b3829 + b3855 + b3868 + b3876 + b3891 + b3967 + b4003
       + b4013 + b4049 + b4075 + b4080 + b4086 + b4109 + b4156 + b4167 + b4239
       + b4249 + b4255 + b4273 + b4323 + b4342 + b4344 + b4392 + b4423 + b4438
       + b4494 + b4495 + b4501 + b4513 + b4548 + b4556 + b4582 + b4607 + b4612
       + b4648 + b4818 + b4821 + b4889 + b4932 + b5064 + b5099 + b5173 + b5183
       + b5211 + b5260 + b5263 + b5280 + b5284 + b5316 + b5322 + b5343 + b5369
       + b5390 + b5454 + b5492 + b5526 + b5575 + b5579 + b5662 + b5736 + b5892
       + b5894 + b5901 + b5930 + b5943 + b5993 + b6010 + b6022 + b6040 + b6055
       + b6059 + b6072 + b6106 + b6135 + b6170 + b6332 + b6352 + b6369 + b6397
       + b6403 + b6448 + b6534 + b6688 + b6698 + b6727 + b6746 + b6823 + b6833
       + b6852 + b6885 + b6911 + b6967 + b6988 + b7089 + b7109 + b7110 + b7120
       + b7134 + b7181 + b7194 + b7248 + b7262 + b7281 + b7432 + b7488 + b7508
       + b7531 + b7544 + b7558 + b7602 + b7683 + b7711 + b7722 + b7730 + b7909
       + b8040 + b8047 + b8052 + b8082 + b8113 + b8175 + b8250 + b8254 + b8281
       + b8294 + b8296 + b8314 + b8361 + b8377 + b8386 + b8398 + b8476 + b8523
       + b8547 + b8549 + b8622 + b8634 + b8680 + b8749 + b8760 + b8789 + b8810
       + b8875 + b8896 + b8905 = 1;

e594:    b7 + b52 + b142 + b151 + b168 + b203 + b211 + b279 + b358 + b452
       + b548 + b673 + b721 + b731 + b823 + b883 + b914 + b918 + b924 + b952
       + b1002 + b1016 + b1044 + b1099 + b1225 + b1315 + b1316 + b1367 + b1389
       + b1396 + b1468 + b1482 + b1493 + b1510 + b1550 + b1555 + b1587 + b1651
       + b1724 + b1928 + b1939 + b1979 + b2031 + b2181 + b2275 + b2288 + b2321
       + b2332 + b2404 + b2425 + b2436 + b2449 + b2473 + b2498 + b2548 + b2636
       + b2684 + b2694 + b2703 + b2705 + b2757 + b2827 + b2862 + b2892 + b2962
       + b3054 + b3055 + b3199 + b3248 + b3277 + b3278 + b3283 + b3306 + b3336
       + b3338 + b3517 + b3646 + b3690 + b3721 + b3722 + b3759 + b3829 + b3855
       + b3868 + b3891 + b4003 + b4049 + b4075 + b4080 + b4086 + b4109 + b4156
       + b4167 + b4239 + b4249 + b4255 + b4273 + b4344 + b4392 + b4438 + b4495
       + b4501 + b4513 + b4548 + b4556 + b4607 + b4612 + b4648 + b4818 + b4821
       + b4889 + b4932 + b5064 + b5099 + b5173 + b5183 + b5211 + b5260 + b5263
       + b5280 + b5284 + b5316 + b5322 + b5343 + b5369 + b5390 + b5454 + b5492
       + b5526 + b5575 + b5579 + b5662 + b5736 + b5892 + b5894 + b5901 + b5930
       + b5993 + b6010 + b6022 + b6040 + b6059 + b6072 + b6135 + b6170 + b6332
       + b6352 + b6403 + b6448 + b6534 + b6688 + b6698 + b6727 + b6823 + b6833
       + b6911 + b6967 + b6988 + b7089 + b7110 + b7120 + b7134 + b7181 + b7194
       + b7248 + b7262 + b7281 + b7432 + b7488 + b7508 + b7531 + b7544 + b7558
       + b7602 + b7683 + b7711 + b7722 + b7730 + b8040 + b8047 + b8052 + b8082
       + b8113 + b8175 + b8250 + b8254 + b8281 + b8294 + b8314 + b8361 + b8377
       + b8476 + b8523 + b8547 + b8549 + b8622 + b8634 + b8680 + b8749 + b8764
       + b8789 + b8810 + b8875 + b8896 + b8905 = 1;

e595:    b41 + b52 + b61 + b142 + b211 + b358 + b362 + b376 + b439 + b462
       + b475 + b543 + b548 + b721 + b731 + b883 + b918 + b1090 + b1092 + b1268
       + b1316 + b1396 + b1493 + b1494 + b1536 + b1587 + b1929 + b1939 + b2031
       + b2275 + b2284 + b2288 + b2321 + b2332 + b2436 + b2636 + b2646 + b2684
       + b2703 + b2712 + b2772 + b2862 + b2962 + b3055 + b3199 + b3277 + b3283
       + b3646 + b3667 + b3759 + b3763 + b3764 + b3861 + b3868 + b3919 + b4050
       + b4135 + b4149 + b4241 + b4273 + b4411 + b4501 + b4513 + b4517 + b4518
       + b4548 + b4607 + b4612 + b4846 + b4889 + b4932 + b4969 + b5173 + b5183
       + b5322 + b5343 + b5361 + b5453 + b5454 + b5480 + b5736 + b5744 + b5898
       + b5930 + b6018 + b6068 + b6103 + b6322 + b6332 + b6342 + b6403 + b6610
       + b6698 + b6727 + b6728 + b6733 + b6758 + b6833 + b6926 + b7056 + b7089
       + b7110 + b7335 + b7432 + b7488 + b7531 + b7578 + b7663 + b7683 + b7722
       + b7731 + b7938 + b8082 + b8117 + b8224 + b8243 + b8281 + b8377 + b8448
       + b8638 + b8680 + b8771 = 1;

e596:    b41 + b142 + b211 + b358 + b362 + b376 + b439 + b462 + b475 + b543
       + b548 + b721 + b731 + b883 + b1090 + b1092 + b1268 + b1316 + b1396
       + b1493 + b1494 + b1536 + b1587 + b1929 + b1939 + b2031 + b2275 + b2284
       + b2288 + b2436 + b2636 + b2646 + b2684 + b2703 + b2712 + b2772 + b2862
       + b2962 + b3055 + b3277 + b3283 + b3646 + b3667 + b3759 + b3763 + b3764
       + b3861 + b3868 + b3919 + b4050 + b4135 + b4149 + b4241 + b4273 + b4411
       + b4501 + b4513 + b4517 + b4518 + b4607 + b4612 + b4846 + b4889 + b4932
       + b4969 + b5173 + b5322 + b5343 + b5361 + b5453 + b5454 + b5480 + b5744
       + b5898 + b5930 + b6018 + b6068 + b6103 + b6322 + b6332 + b6342 + b6403
       + b6610 + b6698 + b6727 + b6728 + b6733 + b6758 + b6833 + b6926 + b7056
       + b7089 + b7110 + b7531 + b7578 + b7663 + b7683 + b7731 + b7938 + b8082
       + b8117 + b8224 + b8243 + b8281 + b8377 + b8448 + b8638 + b8680 + b8771
       = 1;

e597:    b102 + b118 + b211 + b257 + b274 + b349 + b358 + b387 + b461 + b548
       + b721 + b729 + b730 + b731 + b763 + b773 + b817 + b818 + b823 + b883
       + b1016 + b1102 + b1268 + b1396 + b1402 + b1430 + b1493 + b1536 + b1587
       + b1622 + b1643 + b1805 + b1882 + b1929 + b1935 + b1939 + b1993 + b2031
       + b2128 + b2275 + b2284 + b2288 + b2436 + b2483 + b2506 + b2636 + b2646
       + b2676 + b2684 + b2704 + b2757 + b2772 + b2827 + b2892 + b2962 + b3055
       + b3277 + b3283 + b3618 + b3646 + b3667 + b3737 + b3759 + b3763 + b3764
       + b3861 + b3868 + b4049 + b4050 + b4086 + b4119 + b4167 + b4170 + b4241
       + b4255 + b4273 + b4307 + b4339 + b4411 + b4501 + b4513 + b4518 + b4558
       + b4579 + b4607 + b4612 + b4676 + b4749 + b4821 + b4827 + b4831 + b4846
       + b4864 + b4932 + b4953 + b5067 + b5173 + b5322 + b5343 + b5349 + b5961
       + b6018 + b6019 + b6081 + b6170 + b6277 + b6317 + b6322 + b6342 + b6361
       + b6367 + b6403 + b6418 + b6527 + b6528 + b6610 + b6656 + b6698 + b6728
       + b6758 + b6926 + b6957 + b7056 + b7089 + b7110 + b7120 + b7194 + b7248
       + b7466 + b7508 + b7568 + b7588 + b7602 + b7683 + b7730 + b8039 + b8082
       + b8083 + b8113 + b8119 + b8157 + b8170 + b8175 + b8224 + b8281 + b8377
       + b8448 + b8540 + b8547 + b8622 + b8634 + b8638 + b8680 + b8712 + b8739
       + b8756 + b8807 + b8810 = 1;

e598:    b78 + b102 + b118 + b203 + b211 + b257 + b274 + b349 + b358 + b381
       + b387 + b453 + b461 + b548 + b721 + b729 + b730 + b731 + b763 + b773
       + b817 + b818 + b823 + b853 + b883 + b1016 + b1097 + b1102 + b1268
       + b1297 + b1402 + b1430 + b1493 + b1494 + b1536 + b1587 + b1622 + b1805
       + b1882 + b1929 + b1935 + b1939 + b1993 + b2031 + b2128 + b2275 + b2284
       + b2288 + b2436 + b2483 + b2498 + b2506 + b2567 + b2636 + b2646 + b2676
       + b2684 + b2694 + b2704 + b2729 + b2748 + b2757 + b2772 + b2827 + b2892
       + b2962 + b3055 + b3184 + b3283 + b3618 + b3646 + b3667 + b3737 + b3759
       + b3763 + b3861 + b3868 + b4049 + b4050 + b4080 + b4086 + b4119 + b4167
       + b4170 + b4241 + b4249 + b4255 + b4273 + b4307 + b4339 + b4411 + b4501
       + b4513 + b4518 + b4558 + b4579 + b4580 + b4607 + b4612 + b4664 + b4676
       + b4749 + b4813 + b4821 + b4827 + b4831 + b4845 + b4846 + b4864 + b4878
       + b4932 + b4953 + b5067 + b5173 + b5316 + b5322 + b5343 + b5349 + b5492
       + b5699 + b5704 + b5930 + b5941 + b5961 + b6018 + b6019 + b6055 + b6081
       + b6170 + b6277 + b6317 + b6318 + b6322 + b6342 + b6361 + b6367 + b6403
       + b6418 + b6527 + b6528 + b6610 + b6656 + b6698 + b6728 + b6758 + b6867
       + b6911 + b6926 + b6957 + b6998 + b7056 + b7089 + b7109 + b7110 + b7120
       + b7181 + b7194 + b7466 + b7508 + b7568 + b7588 + b7602 + b7645 + b7683
       + b7730 + b7858 + b8039 + b8082 + b8083 + b8113 + b8119 + b8122 + b8157
       + b8170 + b8175 + b8281 + b8377 + b8448 + b8540 + b8547 + b8622 + b8634
       + b8680 + b8712 + b8739 + b8756 + b8807 + b8810 = 1;

e599:    b90 + b91 + b104 + b168 + b197 + b203 + b277 + b328 + b381 + b453
       + b461 + b475 + b484 + b545 + b552 + b567 + b698 + b751 + b763 + b853
       + b883 + b904 + b918 + b924 + b952 + b976 + b986 + b1002 + b1027 + b1097
       + b1131 + b1146 + b1225 + b1268 + b1436 + b1506 + b1510 + b1522 + b1523
       + b1536 + b1550 + b1578 + b1587 + b1598 + b1615 + b1649 + b2181 + b2231
       + b2275 + b2436 + b2449 + b2473 + b2548 + b2556 + b2594 + b2694 + b2720
       + b2731 + b2748 + b2759 + b2785 + b2791 + b2821 + b2874 + b2892 + b2897
       + b2961 + b2985 + b3063 + b3109 + b3152 + b3199 + b3248 + b3403 + b3497
       + b3502 + b3517 + b3667 + b3674 + b3734 + b3834 + b3855 + b3868 + b3876
       + b3891 + b3903 + b3904 + b3982 + b4013 + b4080 + b4086 + b4102 + b4109
       + b4141 + b4156 + b4195 + b4239 + b4241 + b4249 + b4257 + b4392 + b4555
       + b4556 + b4607 + b4667 + b4701 + b4757 + b4813 + b4818 + b4831 + b4845
       + b4878 + b4889 + b4900 + b4961 + b4974 + b4993 + b5004 + b5099 + b5154
       + b5260 + b5263 + b5280 + b5326 + b5343 + b5369 + b5398 + b5405 + b5454
       + b5492 + b5575 + b5595 + b5602 + b5611 + b5627 + b5636 + b5667 + b5695
       + b5800 + b5880 + b5943 + b5983 + b6010 + b6040 + b6052 + b6059 + b6072
       + b6074 + b6135 + b6277 + b6318 + b6323 + b6342 + b6343 + b6403 + b6414
       + b6534 + b6570 + b6610 + b6727 + b6813 + b6885 + b6980 + b6988 + b6998
       + b7109 + b7120 + b7134 + b7181 + b7232 + b7238 + b7239 + b7241 + b7461
       + b7544 + b7547 + b7558 + b7588 + b7602 + b7630 + b7665 + b7807 + b8007
       + b8082 + b8114 + b8254 + b8271 + b8281 + b8295 + b8314 + b8386 + b8445
       + b8476 + b8494 + b8516 + b8789 + b8896 = 1;

e600:    b59 + b70 + b88 + b128 + b192 + b278 + b585 + b587 + b690 + b899
       + b905 + b921 + b958 + b988 + b1124 + b1145 + b1157 + b1166 + b1240
       + b1254 + b1261 + b1286 + b1290 + b1361 + b1379 + b1464 + b1465 + b1544
       + b1546 + b1575 + b1576 + b1612 + b1771 + b1858 + b1932 + b1988 + b2364
       + b2413 + b2448 + b2535 + b2840 + b2863 + b2949 + b3016 + b3305 + b3391
       + b3408 + b3432 + b3524 + b3581 + b3648 + b3705 + b3798 + b3802 + b4160
       + b4197 + b4220 + b4221 + b4315 + b4449 + b4460 + b4461 + b4529 + b4565
       + b4590 + b4738 + b4825 + b4867 + b4928 + b5043 + b5060 + b5140 + b5302
       + b5399 + b5584 + b5649 + b5698 + b5786 + b5839 + b5920 + b5951 + b5952
       + b5953 + b6074 + b6101 + b6335 + b6460 + b6685 + b6715 + b6718 + b6785
       + b6825 + b7139 + b7236 + b7326 + b7347 + b7743 + b7782 + b7815 + b7853
       + b7925 + b7997 + b8086 + b8095 + b8165 + b8167 + b8178 + b8588 + b8619
       + b8624 + b8676 + b8750 + b8893 = 1;

e601:    b59 + b70 + b88 + b128 + b192 + b245 + b268 + b278 + b585 + b587
       + b690 + b899 + b905 + b921 + b958 + b988 + b1066 + b1124 + b1145
       + b1157 + b1166 + b1240 + b1254 + b1261 + b1286 + b1290 + b1464 + b1465
       + b1544 + b1546 + b1575 + b1576 + b1612 + b1858 + b1932 + b1946 + b1988
       + b2207 + b2364 + b2413 + b2448 + b2535 + b2840 + b2863 + b2949 + b3016
       + b3262 + b3305 + b3391 + b3408 + b3432 + b3581 + b3648 + b3705 + b3798
       + b3802 + b4160 + b4197 + b4205 + b4220 + b4221 + b4315 + b4449 + b4460
       + b4461 + b4472 + b4529 + b4565 + b4590 + b4825 + b4867 + b4928 + b5060
       + b5140 + b5302 + b5399 + b5483 + b5584 + b5649 + b5698 + b5839 + b5920
       + b5951 + b5952 + b5953 + b6074 + b6101 + b6104 + b6190 + b6335 + b6460
       + b6586 + b6671 + b6685 + b6715 + b6718 + b6785 + b6825 + b6872 + b7139
       + b7236 + b7326 + b7347 + b7710 + b7743 + b7782 + b7815 + b7853 + b7933
       + b7997 + b8086 + b8095 + b8165 + b8167 + b8178 + b8409 + b8588 + b8619
       + b8624 + b8676 + b8750 + b8893 = 1;

e602:    b87 + b159 + b175 + b195 + b351 + b407 + b496 + b574 + b585 + b668
       + b690 + b921 + b1152 + b1201 + b1286 + b1290 + b1373 + b1465 + b1858
       + b1932 + b2178 + b2290 + b2325 + b2350 + b2448 + b2626 + b2637 + b2799
       + b2863 + b2949 + b3118 + b3438 + b3462 + b3581 + b3648 + b3798 + b3802
       + b3931 + b3947 + b3952 + b3964 + b4220 + b4297 + b4315 + b4345 + b4393
       + b4530 + b4542 + b4604 + b4650 + b4825 + b5195 + b5312 + b5649 + b5698
       + b5714 + b5920 + b5951 + b5953 + b6556 + b6752 + b7013 + b7236 + b7274
       + b7347 + b7853 + b7889 + b8086 + b8319 + b8338 + b8619 + b8624 + b8625
       + b8670 + b8750 = 1;

e603:    b22 + b87 + b159 + b175 + b195 + b351 + b407 + b496 + b574 + b690
       + b921 + b988 + b1152 + b1201 + b1286 + b1290 + b1373 + b1465 + b1858
       + b1932 + b2178 + b2350 + b2448 + b2626 + b2637 + b2799 + b2863 + b2949
       + b3319 + b3383 + b3438 + b3462 + b3648 + b3798 + b3802 + b3931 + b3947
       + b3952 + b3964 + b4220 + b4297 + b4315 + b4345 + b4393 + b4542 + b4604
       + b4650 + b5060 + b5195 + b5649 + b5698 + b5714 + b5953 + b6556 + b6752
       + b7013 + b7274 + b7347 + b7853 + b7889 + b8086 + b8319 + b8338 + b8619
       + b8624 + b8625 + b8670 + b8750 = 1;

e604:    b17 + b48 + b87 + b130 + b159 + b195 + b407 + b443 + b489 + b586
       + b587 + b667 + b826 + b988 + b1145 + b1152 + b1174 + b1212 + b1286
       + b1514 + b1524 + b1667 + b1724 + b1858 + b1932 + b2019 + b2178 + b2325
       + b2350 + b2448 + b2626 + b2719 + b2733 + b2825 + b2840 + b3057 + b3319
       + b3408 + b3420 + b3462 + b3648 + b3795 + b3802 + b3907 + b4004 + b4220
       + b4393 + b4448 + b4493 + b4542 + b4543 + b4544 + b4604 + b4650 + b4695
       + b4905 + b4929 + b4959 + b4967 + b5036 + b5060 + b5080 + b5188 + b5399
       + b5541 + b5698 + b5953 + b6082 + b6101 + b6480 + b6556 + b6703 + b6724
       + b6752 + b6950 + b7013 + b7139 + b7161 + b7245 + b7290 + b7329 + b7347
       + b7571 + b7782 + b7853 + b7889 + b8086 + b8319 + b8354 + b8421 + b8619
       + b8625 + b8670 + b8750 + b8778 = 1;

e605:    b17 + b48 + b87 + b130 + b159 + b195 + b407 + b443 + b489 + b586
       + b587 + b667 + b988 + b1145 + b1152 + b1174 + b1212 + b1286 + b1667
       + b1858 + b1932 + b2178 + b2325 + b2350 + b2448 + b2626 + b2719 + b2733
       + b2825 + b2840 + b3057 + b3319 + b3408 + b3420 + b3462 + b3648 + b4004
       + b4220 + b4393 + b4448 + b4493 + b4542 + b4543 + b4544 + b4604 + b4650
       + b4905 + b4929 + b4959 + b4967 + b5036 + b5080 + b5399 + b5698 + b5953
       + b6082 + b6101 + b6556 + b6703 + b6724 + b6752 + b6950 + b7013 + b7139
       + b7161 + b7245 + b7290 + b7329 + b7347 + b7782 + b7853 + b7889 + b8086
       + b8354 + b8421 + b8619 + b8750 = 1;

e606:    b17 + b36 + b48 + b58 + b59 + b64 + b87 + b145 + b195 + b256 + b353
       + b489 + b496 + b667 + b803 + b814 + b908 + b915 + b921 + b988 + b1008
       + b1145 + b1157 + b1166 + b1174 + b1202 + b1209 + b1286 + b1348 + b1569
       + b1667 + b1700 + b1708 + b1715 + b1746 + b1768 + b1785 + b1815 + b1868
       + b2004 + b2081 + b2136 + b2165 + b2178 + b2290 + b2325 + b2416 + b2448
       + b2626 + b2645 + b2733 + b2760 + b2810 + b2863 + b2868 + b2869 + b3174
       + b3319 + b3444 + b3456 + b3500 + b3684 + b3702 + b3705 + b3853 + b3937
       + b3940 + b3952 + b3964 + b4019 + b4279 + b4375 + b4448 + b4529 + b4530
       + b4554 + b4599 + b4680 + b4890 + b4893 + b4905 + b4927 + b4929 + b4967
       + b5030 + b5050 + b5097 + b5355 + b5399 + b5412 + b5889 + b6021 + b6097
       + b6178 + b6198 + b6267 + b6334 + b6396 + b6430 + b6536 + b6584 + b6738
       + b6745 + b6752 + b6753 + b6854 + b6858 + b6913 + b6950 + b7139 + b7144
       + b7245 + b7254 + b7351 + b7405 + b7560 + b7653 + b7654 + b7680 + b7895
       + b7898 + b8067 + b8204 + b8255 + b8319 + b8356 + b8357 + b8624 + b8751
       + b8832 + b8893 = 1;

e607:    b17 + b36 + b48 + b58 + b59 + b64 + b87 + b88 + b145 + b192 + b195
       + b256 + b353 + b489 + b496 + b667 + b803 + b814 + b908 + b915 + b921
       + b943 + b988 + b1008 + b1145 + b1157 + b1166 + b1174 + b1202 + b1209
       + b1348 + b1569 + b1667 + b1681 + b1700 + b1708 + b1715 + b1746 + b1768
       + b1785 + b1815 + b1868 + b2004 + b2081 + b2136 + b2165 + b2178 + b2290
       + b2301 + b2325 + b2413 + b2416 + b2448 + b2626 + b2645 + b2760 + b2810
       + b2863 + b2868 + b2869 + b3174 + b3189 + b3319 + b3444 + b3456 + b3500
       + b3684 + b3702 + b3705 + b3853 + b3937 + b3940 + b3952 + b3964 + b4019
       + b4025 + b4279 + b4375 + b4448 + b4529 + b4530 + b4554 + b4599 + b4680
       + b4890 + b4893 + b4905 + b4927 + b4929 + b4967 + b5030 + b5050 + b5097
       + b5355 + b5399 + b5412 + b6021 + b6097 + b6198 + b6267 + b6334 + b6396
       + b6430 + b6536 + b6584 + b6738 + b6745 + b6752 + b6753 + b6854 + b6858
       + b6913 + b6950 + b7139 + b7144 + b7245 + b7254 + b7351 + b7405 + b7560
       + b7653 + b7654 + b7680 + b7895 + b7898 + b7989 + b8067 + b8204 + b8246
       + b8255 + b8319 + b8356 + b8357 + b8624 + b8751 + b8832 + b8872 + b8893
       = 1;

e608:    b130 + b159 + b161 + b166 + b237 + b266 + b323 + b332 + b338 + b408
       + b479 + b517 + b574 + b845 + b895 + b965 + b1032 + b1152 + b1169
       + b1191 + b1212 + b1287 + b1302 + b1353 + b1354 + b1444 + b1445 + b1492
       + b1529 + b1533 + b1569 + b1633 + b1662 + b1717 + b1807 + b1869 + b2167
       + b2350 + b2388 + b2438 + b2496 + b2546 + b2584 + b2589 + b2606 + b2610
       + b2693 + b2719 + b2751 + b2866 + b2983 + b3022 + b3057 + b3077 + b3387
       + b3428 + b3462 + b3507 + b3520 + b3522 + b3532 + b3582 + b3603 + b3654
       + b3794 + b3817 + b3910 + b3975 + b4052 + b4064 + b4155 + b4220 + b4254
       + b4448 + b4449 + b4483 + b4542 + b4544 + b4598 + b4603 + b4604 + b4646
       + b4650 + b4653 + b4659 + b4811 + b4816 + b4838 + b5036 + b5213 + b5261
       + b5298 + b5406 + b5419 + b5421 + b5434 + b5546 + b5580 + b5683 + b5732
       + b5765 + b5879 + b5937 + b6026 + b6045 + b6082 + b6097 + b6194 + b6252
       + b6263 + b6274 + b6297 + b6449 + b6530 + b6552 + b6608 + b6732 + b6790
       + b6878 + b6914 + b6917 + b6966 + b6976 + b6991 + b6995 + b7006 + b7059
       + b7101 + b7274 + b7329 + b7430 + b7480 + b7540 + b7545 + b7589 + b7624
       + b7728 + b7782 + b7836 + b7910 + b7918 + b7931 + b7952 + b8021 + b8071
       + b8148 + b8150 + b8241 + b8251 + b8258 + b8291 + b8305 + b8353 + b8403
       + b8441 + b8532 + b8892 = 1;

e609:    b130 + b159 + b161 + b237 + b266 + b323 + b332 + b338 + b408 + b479
       + b517 + b574 + b845 + b895 + b965 + b1032 + b1118 + b1152 + b1169
       + b1191 + b1212 + b1287 + b1302 + b1330 + b1353 + b1354 + b1444 + b1445
       + b1446 + b1492 + b1529 + b1533 + b1547 + b1569 + b1572 + b1633 + b1658
       + b1662 + b1717 + b1807 + b1869 + b1994 + b2011 + b2167 + b2350 + b2388
       + b2438 + b2496 + b2546 + b2584 + b2589 + b2606 + b2610 + b2693 + b2719
       + b2721 + b2866 + b2983 + b3022 + b3057 + b3077 + b3352 + b3373 + b3387
       + b3428 + b3462 + b3507 + b3520 + b3522 + b3532 + b3582 + b3603 + b3654
       + b3794 + b3817 + b3819 + b3910 + b3975 + b4052 + b4064 + b4155 + b4220
       + b4254 + b4448 + b4449 + b4483 + b4542 + b4544 + b4598 + b4603 + b4604
       + b4650 + b4653 + b4659 + b4811 + b4816 + b4838 + b4931 + b4983 + b5036
       + b5213 + b5261 + b5298 + b5406 + b5419 + b5421 + b5434 + b5546 + b5563
       + b5580 + b5683 + b5732 + b5751 + b5758 + b5765 + b5879 + b5937 + b5976
       + b6026 + b6045 + b6082 + b6097 + b6194 + b6252 + b6263 + b6274 + b6297
       + b6435 + b6449 + b6530 + b6552 + b6608 + b6732 + b6790 + b6878 + b6914
       + b6917 + b6966 + b6976 + b6991 + b6995 + b7006 + b7059 + b7101 + b7184
       + b7274 + b7329 + b7430 + b7480 + b7540 + b7545 + b7589 + b7624 + b7728
       + b7782 + b7836 + b7910 + b7918 + b7931 + b7952 + b8021 + b8071 + b8148
       + b8150 + b8241 + b8251 + b8258 + b8291 + b8305 + b8353 + b8403 + b8441
       + b8532 + b8892 = 1;

e610:    b83 + b128 + b161 + b249 + b300 + b323 + b338 + b403 + b595 + b635
       + b682 + b744 + b802 + b863 + b915 + b916 + b965 + b966 + b1018 + b1026
       + b1032 + b1050 + b1064 + b1072 + b1118 + b1303 + b1331 + b1354 + b1444
       + b1464 + b1529 + b1546 + b1554 + b1561 + b1575 + b1624 + b1633 + b1640
       + b1662 + b1698 + b1717 + b1815 + b1861 + b1864 + b1869 + b1994 + b2011
       + b2067 + b2141 + b2148 + b2167 + b2343 + b2388 + b2392 + b2412 + b2438
       + b2544 + b2584 + b2589 + b2606 + b2742 + b2918 + b2954 + b2995 + b3119
       + b3122 + b3139 + b3157 + b3182 + b3209 + b3282 + b3316 + b3328 + b3387
       + b3421 + b3428 + b3440 + b3522 + b3523 + b3532 + b3545 + b3553 + b3582
       + b3658 + b3670 + b3800 + b3910 + b3975 + b4015 + b4052 + b4064 + b4155
       + b4247 + b4328 + b4441 + b4449 + b4460 + b4461 + b4557 + b4598 + b4619
       + b4645 + b4653 + b4677 + b4727 + b4774 + b4811 + b4838 + b4920 + b4928
       + b5093 + b5122 + b5129 + b5207 + b5347 + b5358 + b5371 + b5389 + b5421
       + b5451 + b5506 + b5609 + b5623 + b5721 + b5726 + b5732 + b5816 + b5879
       + b5952 + b6045 + b6097 + b6128 + b6185 + b6202 + b6255 + b6274 + b6435
       + b6484 + b6500 + b6511 + b6552 + b6611 + b6655 + b6685 + b6715 + b6718
       + b6732 + b6790 + b6825 + b6892 + b6930 + b6976 + b6991 + b7006 + b7059
       + b7127 + b7184 + b7300 + b7320 + b7430 + b7434 + b7447 + b7464 + b7540
       + b7545 + b7575 + b7589 + b7640 + b7662 + b7678 + b7707 + b7841 + b7918
       + b8021 + b8165 + b8190 + b8258 + b8272 + b8324 + b8332 + b8334 + b8441
       + b8454 + b8460 + b8501 + b8532 + b8546 + b8557 + b8676 + b8731 + b8741
       + b8779 + b8796 + b8862 + b8893 = 1;

e611:    b83 + b128 + b161 + b249 + b300 + b323 + b338 + b403 + b595 + b635
       + b682 + b744 + b802 + b863 + b915 + b916 + b965 + b966 + b1018 + b1026
       + b1032 + b1050 + b1064 + b1072 + b1118 + b1303 + b1331 + b1354 + b1444
       + b1464 + b1529 + b1546 + b1554 + b1561 + b1575 + b1624 + b1633 + b1640
       + b1662 + b1698 + b1717 + b1815 + b1861 + b1864 + b1869 + b1994 + b2011
       + b2067 + b2141 + b2148 + b2167 + b2343 + b2388 + b2392 + b2412 + b2438
       + b2544 + b2584 + b2589 + b2606 + b2742 + b2918 + b2954 + b2995 + b3077
       + b3119 + b3122 + b3139 + b3157 + b3182 + b3209 + b3282 + b3316 + b3328
       + b3387 + b3421 + b3428 + b3440 + b3522 + b3523 + b3532 + b3545 + b3553
       + b3582 + b3658 + b3670 + b3800 + b3910 + b3975 + b4015 + b4052 + b4064
       + b4155 + b4247 + b4328 + b4441 + b4449 + b4460 + b4461 + b4557 + b4598
       + b4619 + b4645 + b4653 + b4677 + b4727 + b4774 + b4811 + b4920 + b5093
       + b5122 + b5129 + b5207 + b5347 + b5358 + b5371 + b5389 + b5421 + b5451
       + b5506 + b5609 + b5623 + b5721 + b5726 + b5732 + b5816 + b5879 + b5952
       + b6045 + b6097 + b6128 + b6185 + b6202 + b6255 + b6274 + b6435 + b6484
       + b6500 + b6511 + b6552 + b6611 + b6655 + b6685 + b6715 + b6718 + b6732
       + b6790 + b6825 + b6892 + b6930 + b6976 + b6991 + b7006 + b7059 + b7127
       + b7184 + b7300 + b7320 + b7430 + b7434 + b7447 + b7464 + b7540 + b7545
       + b7575 + b7589 + b7640 + b7662 + b7678 + b7707 + b7841 + b7918 + b7952
       + b8021 + b8165 + b8190 + b8258 + b8272 + b8324 + b8332 + b8334 + b8441
       + b8454 + b8460 + b8501 + b8532 + b8546 + b8557 + b8676 + b8731 + b8741
       + b8779 + b8796 + b8862 + b8893 = 1;

e612:    b11 + b83 + b246 + b248 + b266 + b267 + b292 + b300 + b411 + b612
       + b696 + b703 + b750 + b833 + b915 + b966 + b1288 + b1303 + b1338
       + b1354 + b1419 + b1437 + b1441 + b1444 + b1492 + b1498 + b1554 + b1562
       + b1624 + b1640 + b1662 + b1698 + b1711 + b1717 + b2108 + b2166 + b2167
       + b2250 + b2286 + b2443 + b2496 + b2536 + b2544 + b2851 + b2866 + b2884
       + b2960 + b3032 + b3139 + b3170 + b3182 + b3328 + b3387 + b3428 + b3441
       + b3520 + b3523 + b3532 + b3540 + b3545 + b3600 + b3611 + b3667 + b3670
       + b3733 + b3794 + b4012 + b4052 + b4064 + b4155 + b4213 + b4247 + b4263
       + b4360 + b4441 + b4449 + b4483 + b4603 + b4653 + b4659 + b4677 + b4740
       + b4845 + b4878 + b4912 + b4930 + b5111 + b5122 + b5154 + b5180 + b5208
       + b5225 + b5321 + b5356 + b5389 + b5419 + b5451 + b5726 + b5732 + b5740
       + b5855 + b5860 + b5893 + b6097 + b6194 + b6325 + b6449 + b6530 + b6608
       + b6655 + b6718 + b6790 + b6840 + b6848 + b6892 + b6966 + b6976 + b7001
       + b7006 + b7057 + b7101 + b7127 + b7157 + b7320 + b7430 + b7447 + b7480
       + b7540 + b7545 + b7841 + b7918 + b7948 + b8021 + b8082 + b8141 + b8165
       + b8227 + b8272 + b8273 + b8324 + b8332 + b8353 + b8392 + b8403 + b8557
       + b8676 + b8779 + b8800 + b8893 = 1;

e613:    b11 + b83 + b166 + b246 + b248 + b266 + b267 + b292 + b300 + b411
       + b612 + b696 + b703 + b750 + b833 + b915 + b966 + b1288 + b1303 + b1338
       + b1354 + b1419 + b1437 + b1441 + b1444 + b1492 + b1498 + b1554 + b1562
       + b1624 + b1640 + b1662 + b1698 + b1711 + b1717 + b2108 + b2166 + b2167
       + b2250 + b2286 + b2443 + b2496 + b2536 + b2544 + b2851 + b2866 + b3139
       + b3170 + b3182 + b3328 + b3387 + b3428 + b3441 + b3520 + b3523 + b3532
       + b3540 + b3545 + b3600 + b3611 + b3670 + b3794 + b4012 + b4052 + b4064
       + b4155 + b4213 + b4247 + b4263 + b4360 + b4441 + b4449 + b4483 + b4603
       + b4653 + b4659 + b4677 + b4740 + b4878 + b4912 + b4930 + b5111 + b5122
       + b5180 + b5208 + b5225 + b5321 + b5356 + b5389 + b5419 + b5451 + b5726
       + b5732 + b5740 + b5855 + b5893 + b6097 + b6194 + b6325 + b6449 + b6530
       + b6608 + b6655 + b6718 + b6790 + b6840 + b6848 + b6892 + b6966 + b6976
       + b7001 + b7006 + b7101 + b7127 + b7157 + b7320 + b7430 + b7447 + b7480
       + b7540 + b7545 + b7841 + b7918 + b7948 + b8021 + b8141 + b8165 + b8227
       + b8272 + b8273 + b8324 + b8332 + b8353 + b8392 + b8403 + b8557 + b8676
       + b8779 + b8800 + b8893 = 1;

e614:    b83 + b130 + b145 + b175 + b248 + b266 + b267 + b323 + b325 + b517
       + b703 + b756 + b786 + b819 + b906 + b965 + b1010 + b1064 + b1072
       + b1088 + b1174 + b1219 + b1303 + b1324 + b1338 + b1445 + b1498 + b1510
       + b1554 + b1624 + b1636 + b1684 + b1698 + b1703 + b1711 + b1746 + b1869
       + b1900 + b2108 + b2135 + b2148 + b2166 + b2183 + b2286 + b2350 + b2395
       + b2443 + b2496 + b2500 + b2505 + b2513 + b2589 + b2667 + b2851 + b2961
       + b3014 + b3115 + b3139 + b3170 + b3182 + b3205 + b3282 + b3379 + b3440
       + b3441 + b3477 + b3499 + b3500 + b3507 + b3523 + b3545 + b3553 + b3611
       + b3873 + b3880 + b3895 + b3931 + b3936 + b3964 + b3985 + b4012 + b4064
       + b4121 + b4124 + b4173 + b4213 + b4345 + b4360 + b4456 + b4653 + b4661
       + b4740 + b4768 + b4774 + b4878 + b4930 + b4943 + b5093 + b5195 + b5208
       + b5321 + b5356 + b5358 + b5451 + b5585 + b5618 + b5692 + b5693 + b5721
       + b5726 + b5758 + b5802 + b5833 + b5855 + b5939 + b5970 + b6039 + b6045
       + b6077 + b6098 + b6110 + b6128 + b6133 + b6185 + b6194 + b6255 + b6301
       + b6387 + b6560 + b6685 + b6692 + b6811 + b6834 + b6840 + b6848 + b6917
       + b6953 + b7001 + b7062 + b7127 + b7300 + b7427 + b7447 + b7589 + b7707
       + b7826 + b7841 + b7844 + b7851 + b7861 + b7895 + b7898 + b7918 + b7931
       + b7948 + b7983 + b8021 + b8060 + b8125 + b8150 + b8165 + b8227 + b8234
       + b8235 + b8272 + b8273 + b8324 + b8334 + b8338 + b8379 + b8392 + b8460
       + b8501 + b8546 + b8557 + b8574 + b8593 + b8676 + b8776 = 1;

e615:    b83 + b130 + b145 + b175 + b248 + b266 + b267 + b323 + b325 + b517
       + b703 + b756 + b786 + b819 + b906 + b965 + b1010 + b1064 + b1072
       + b1088 + b1174 + b1219 + b1303 + b1320 + b1324 + b1338 + b1445 + b1498
       + b1510 + b1554 + b1624 + b1636 + b1684 + b1698 + b1703 + b1711 + b1746
       + b1869 + b1900 + b2108 + b2135 + b2148 + b2166 + b2183 + b2286 + b2350
       + b2395 + b2443 + b2496 + b2500 + b2505 + b2513 + b2589 + b2667 + b2851
       + b2954 + b2961 + b3014 + b3115 + b3139 + b3170 + b3182 + b3205 + b3282
       + b3379 + b3440 + b3441 + b3477 + b3499 + b3500 + b3507 + b3523 + b3545
       + b3553 + b3611 + b3633 + b3873 + b3880 + b3895 + b3931 + b3936 + b3964
       + b3985 + b4012 + b4064 + b4121 + b4124 + b4173 + b4213 + b4345 + b4360
       + b4456 + b4598 + b4653 + b4661 + b4740 + b4768 + b4774 + b4878 + b4930
       + b4943 + b5093 + b5195 + b5208 + b5321 + b5356 + b5358 + b5451 + b5585
       + b5618 + b5692 + b5693 + b5721 + b5726 + b5758 + b5802 + b5833 + b5855
       + b5939 + b5970 + b6039 + b6045 + b6077 + b6098 + b6110 + b6128 + b6133
       + b6185 + b6194 + b6255 + b6301 + b6387 + b6560 + b6685 + b6692 + b6811
       + b6834 + b6840 + b6848 + b6917 + b6953 + b7001 + b7062 + b7127 + b7300
       + b7427 + b7447 + b7589 + b7707 + b7826 + b7841 + b7844 + b7851 + b7861
       + b7895 + b7898 + b7918 + b7931 + b7948 + b7983 + b8021 + b8060 + b8125
       + b8150 + b8165 + b8227 + b8234 + b8235 + b8272 + b8273 + b8324 + b8329
       + b8334 + b8338 + b8379 + b8388 + b8392 + b8460 + b8501 + b8546 + b8557
       + b8574 + b8593 + b8676 + b8776 = 1;

e616:    b115 + b121 + b137 + b245 + b268 + b292 + b294 + b296 + b516 + b591
       + b607 + b657 + b674 + b687 + b814 + b900 + b958 + b1010 + b1025 + b1041
       + b1056 + b1069 + b1072 + b1091 + b1106 + b1268 + b1331 + b1423 + b1437
       + b1562 + b1608 + b1684 + b1727 + b1948 + b1973 + b1983 + b1997 + b2055
       + b2069 + b2078 + b2141 + b2148 + b2167 + b2184 + b2264 + b2270 + b2273
       + b2343 + b2352 + b2370 + b2417 + b2454 + b2488 + b2493 + b2536 + b2822
       + b2829 + b2835 + b2843 + b3013 + b3046 + b3050 + b3076 + b3088 + b3095
       + b3265 + b3266 + b3409 + b3497 + b3525 + b3532 + b3545 + b3556 + b3572
       + b3670 + b3675 + b3700 + b3715 + b3772 + b3827 + b3833 + b3893 + b3908
       + b3924 + b4100 + b4201 + b4222 + b4236 + b4274 + b4292 + b4293 + b4303
       + b4310 + b4347 + b4348 + b4393 + b4399 + b4418 + b4424 + b4441 + b4444
       + b4455 + b4456 + b4557 + b4637 + b4657 + b4661 + b4671 + b4673 + b4704
       + b4714 + b4738 + b4740 + b4756 + b4768 + b4786 + b4972 + b4998 + b5058
       + b5088 + b5093 + b5108 + b5111 + b5182 + b5197 + b5207 + b5242 + b5266
       + b5307 + b5377 + b5430 + b5468 + b5472 + b5500 + b5510 + b5632 + b5660
       + b5667 + b5685 + b5787 + b5823 + b6028 + b6056 + b6108 + b6139 + b6144
       + b6411 + b6422 + b6423 + b6474 + b6475 + b6493 + b6500 + b6510 + b6511
       + b6513 + b6517 + b6557 + b6611 + b6620 + b6655 + b6703 + b6775 + b6832
       + b6842 + b6843 + b6859 + b6878 + b6892 + b6913 + b6931 + b6953 + b6966
       + b7224 + b7228 + b7234 + b7307 + b7426 + b7477 + b7562 + b7624 + b7682
       + b7700 + b7712 + b7716 + b7741 + b7873 + b7905 + b7908 + b7920 + b7926
       + b7947 + b7957 + b7963 + b8046 + b8068 + b8125 + b8129 + b8208 + b8236
       + b8256 + b8313 + b8330 + b8339 + b8373 + b8380 + b8387 + b8431 + b8632
       + b8646 + b8711 + b8724 + b8731 + b8745 + b8750 + b8754 + b8768 + b8779
       + b8791 + b8796 + b8812 + b8832 + b8862 = 1;

e617:    b48 + b49 + b115 + b121 + b137 + b233 + b292 + b294 + b296 + b300
       + b325 + b516 + b591 + b607 + b638 + b674 + b687 + b794 + b810 + b814
       + b896 + b899 + b900 + b958 + b983 + b999 + b1010 + b1025 + b1026
       + b1041 + b1050 + b1056 + b1069 + b1072 + b1091 + b1100 + b1106 + b1267
       + b1268 + b1284 + b1318 + b1331 + b1338 + b1423 + b1424 + b1437 + b1536
       + b1562 + b1608 + b1625 + b1684 + b1726 + b1727 + b1761 + b1948 + b1973
       + b1983 + b1997 + b2004 + b2020 + b2055 + b2069 + b2076 + b2078 + b2141
       + b2148 + b2167 + b2175 + b2184 + b2264 + b2270 + b2273 + b2287 + b2340
       + b2343 + b2352 + b2370 + b2417 + b2454 + b2488 + b2493 + b2536 + b2544
       + b2663 + b2746 + b2772 + b2822 + b2829 + b2835 + b2843 + b3013 + b3046
       + b3050 + b3076 + b3084 + b3088 + b3095 + b3155 + b3265 + b3266 + b3297
       + b3303 + b3314 + b3317 + b3409 + b3497 + b3503 + b3520 + b3525 + b3532
       + b3540 + b3545 + b3553 + b3556 + b3572 + b3600 + b3649 + b3670 + b3675
       + b3683 + b3693 + b3700 + b3715 + b3772 + b3827 + b3833 + b3887 + b3893
       + b3895 + b3908 + b3924 + b3938 + b3972 + b3997 + b4005 + b4100 + b4201
       + b4222 + b4236 + b4274 + b4292 + b4293 + b4303 + b4310 + b4328 + b4347
       + b4348 + b4393 + b4399 + b4418 + b4424 + b4441 + b4444 + b4455 + b4456
       + b4466 + b4557 + b4607 + b4637 + b4657 + b4661 + b4667 + b4673 + b4704
       + b4714 + b4727 + b4740 + b4751 + b4756 + b4768 + b4774 + b4786 + b4972
       + b4998 + b5004 + b5044 + b5058 + b5088 + b5093 + b5108 + b5111 + b5142
       + b5197 + b5199 + b5207 + b5242 + b5266 + b5307 + b5310 + b5329 + b5377
       + b5411 + b5415 + b5430 + b5468 + b5472 + b5494 + b5500 + b5506 + b5509
       + b5510 + b5602 + b5611 + b5632 + b5660 + b5667 + b5685 + b5692 + b5787
       + b5801 + b5823 + b5840 + b5895 + b6028 + b6030 + b6056 + b6108 + b6139
       + b6144 + b6184 + b6411 + b6422 + b6423 + b6474 + b6475 + b6487 + b6493
       + b6500 + b6507 + b6510 + b6511 + b6513 + b6517 + b6536 + b6557 + b6611
       + b6620 + b6632 + b6655 + b6703 + b6724 + b6775 + b6813 + b6832 + b6842
       + b6843 + b6859 + b6878 + b6892 + b6909 + b6914 + b6931 + b6953 + b6965
       + b6966 + b6976 + b6989 + b6991 + b7015 + b7224 + b7228 + b7234 + b7307
       + b7426 + b7452 + b7468 + b7477 + b7562 + b7624 + b7635 + b7653 + b7662
       + b7678 + b7682 + b7693 + b7700 + b7712 + b7716 + b7717 + b7741 + b7873
       + b7905 + b7908 + b7920 + b7926 + b7947 + b7957 + b7963 + b8010 + b8028
       + b8046 + b8068 + b8093 + b8125 + b8129 + b8158 + b8208 + b8236 + b8256
       + b8313 + b8328 + b8330 + b8339 + b8373 + b8380 + b8387 + b8431 + b8632
       + b8646 + b8693 + b8711 + b8724 + b8731 + b8738 + b8741 + b8745 + b8750
       + b8754 + b8763 + b8768 + b8773 + b8779 + b8786 + b8791 + b8796 + b8824
       + b8832 + b8862 = 1;

e618:    b11 + b22 + b48 + b49 + b218 + b249 + b292 + b296 + b300 + b325 + b411
       + b510 + b526 + b591 + b609 + b622 + b678 + b693 + b758 + b766 + b786
       + b794 + b814 + b819 + b827 + b983 + b1018 + b1033 + b1041 + b1050
       + b1056 + b1069 + b1072 + b1091 + b1098 + b1100 + b1167 + b1235 + b1267
       + b1303 + b1308 + b1309 + b1331 + b1338 + b1417 + b1437 + b1461 + b1476
       + b1496 + b1554 + b1562 + b1608 + b1624 + b1625 + b1698 + b1711 + b1726
       + b1772 + b1865 + b1983 + b1997 + b2036 + b2069 + b2078 + b2102 + b2113
       + b2120 + b2148 + b2157 + b2167 + b2175 + b2183 + b2184 + b2185 + b2264
       + b2270 + b2273 + b2276 + b2278 + b2286 + b2341 + b2343 + b2351 + b2385
       + b2400 + b2401 + b2419 + b2461 + b2488 + b2493 + b2536 + b2544 + b2663
       + b2716 + b2746 + b2786 + b2802 + b2811 + b2867 + b2946 + b2974 + b3013
       + b3014 + b3076 + b3088 + b3154 + b3155 + b3164 + b3303 + b3314 + b3317
       + b3409 + b3520 + b3540 + b3545 + b3553 + b3556 + b3571 + b3572 + b3596
       + b3600 + b3607 + b3611 + b3670 + b3683 + b3693 + b3715 + b3827 + b3844
       + b3853 + b3864 + b3873 + b3875 + b3893 + b3895 + b3908 + b3922 + b3924
       + b3936 + b3972 + b3985 + b3997 + b4100 + b4189 + b4208 + b4209 + b4213
       + b4222 + b4236 + b4242 + b4310 + b4328 + b4348 + b4393 + b4399 + b4418
       + b4424 + b4441 + b4456 + b4466 + b4475 + b4510 + b4519 + b4557 + b4626
       + b4628 + b4637 + b4645 + b4651 + b4652 + b4657 + b4661 + b4673 + b4677
       + b4681 + b4714 + b4727 + b4740 + b4751 + b4768 + b4774 + b4786 + b4942
       + b4943 + b4972 + b4998 + b5044 + b5093 + b5107 + b5108 + b5127 + b5148
       + b5173 + b5197 + b5198 + b5207 + b5208 + b5251 + b5303 + b5307 + b5310
       + b5329 + b5377 + b5385 + b5411 + b5415 + b5430 + b5472 + b5494 + b5500
       + b5520 + b5528 + b5660 + b5685 + b5692 + b5721 + b5726 + b5801 + b5833
       + b5855 + b5876 + b5895 + b5939 + b6028 + b6032 + b6044 + b6056 + b6076
       + b6077 + b6108 + b6116 + b6128 + b6139 + b6185 + b6194 + b6195 + b6338
       + b6366 + b6417 + b6422 + b6423 + b6487 + b6488 + b6500 + b6510 + b6513
       + b6557 + b6563 + b6565 + b6611 + b6632 + b6637 + b6649 + b6655 + b6703
       + b6709 + b6712 + b6724 + b6729 + b6766 + b6799 + b6816 + b6842 + b6859
       + b6892 + b6909 + b6914 + b6930 + b6953 + b6966 + b6976 + b6989 + b7015
       + b7101 + b7121 + b7157 + b7224 + b7228 + b7232 + b7318 + b7328 + b7366
       + b7393 + b7427 + b7468 + b7469 + b7622 + b7624 + b7631 + b7637 + b7653
       + b7654 + b7662 + b7693 + b7696 + b7700 + b7712 + b7713 + b7740 + b7741
       + b7806 + b7834 + b7873 + b7881 + b7887 + b7905 + b7918 + b7920 + b7926
       + b7931 + b7947 + b7957 + b8093 + b8125 + b8141 + b8174 + b8199 + b8216
       + b8227 + b8236 + b8256 + b8273 + b8297 + b8298 + b8315 + b8334 + b8349
       + b8392 + b8418 + b8431 + b8433 + b8496 + b8604 + b8646 + b8659 + b8661
       + b8689 + b8693 + b8711 + b8724 + b8731 + b8741 + b8745 + b8750 + b8754
       + b8774 + b8779 + b8791 + b8796 + b8816 + b8827 + b8832 + b8862 + b8904
       = 1;

e619:    b11 + b42 + b48 + b49 + b218 + b249 + b292 + b296 + b300 + b325 + b411
       + b510 + b526 + b591 + b609 + b622 + b678 + b693 + b758 + b766 + b786
       + b794 + b798 + b814 + b819 + b827 + b983 + b1018 + b1041 + b1050
       + b1056 + b1069 + b1072 + b1091 + b1098 + b1100 + b1106 + b1167 + b1235
       + b1267 + b1303 + b1308 + b1309 + b1331 + b1338 + b1417 + b1437 + b1461
       + b1476 + b1496 + b1554 + b1562 + b1608 + b1624 + b1625 + b1698 + b1711
       + b1726 + b1772 + b1865 + b1983 + b1997 + b2036 + b2069 + b2078 + b2102
       + b2120 + b2148 + b2157 + b2167 + b2175 + b2184 + b2185 + b2264 + b2270
       + b2273 + b2276 + b2278 + b2286 + b2341 + b2343 + b2351 + b2385 + b2400
       + b2401 + b2419 + b2461 + b2488 + b2493 + b2536 + b2544 + b2663 + b2716
       + b2746 + b2786 + b2802 + b2811 + b2867 + b2946 + b2974 + b3013 + b3014
       + b3076 + b3088 + b3089 + b3154 + b3155 + b3164 + b3303 + b3314 + b3317
       + b3409 + b3520 + b3540 + b3545 + b3553 + b3556 + b3571 + b3572 + b3596
       + b3600 + b3607 + b3611 + b3670 + b3683 + b3693 + b3715 + b3827 + b3835
       + b3844 + b3853 + b3864 + b3873 + b3875 + b3893 + b3895 + b3908 + b3922
       + b3924 + b3972 + b3985 + b3997 + b4100 + b4116 + b4189 + b4208 + b4209
       + b4213 + b4222 + b4236 + b4242 + b4310 + b4328 + b4348 + b4393 + b4399
       + b4424 + b4441 + b4456 + b4475 + b4510 + b4519 + b4557 + b4626 + b4628
       + b4637 + b4645 + b4651 + b4652 + b4657 + b4661 + b4673 + b4677 + b4681
       + b4714 + b4727 + b4740 + b4751 + b4768 + b4774 + b4786 + b4943 + b4972
       + b4998 + b5044 + b5093 + b5107 + b5108 + b5127 + b5148 + b5173 + b5197
       + b5198 + b5207 + b5208 + b5251 + b5303 + b5307 + b5310 + b5329 + b5385
       + b5401 + b5410 + b5411 + b5415 + b5430 + b5472 + b5494 + b5500 + b5520
       + b5528 + b5660 + b5685 + b5692 + b5721 + b5726 + b5801 + b5833 + b5855
       + b5876 + b5895 + b5939 + b6028 + b6044 + b6056 + b6076 + b6077 + b6108
       + b6116 + b6128 + b6139 + b6185 + b6194 + b6195 + b6338 + b6366 + b6417
       + b6422 + b6423 + b6487 + b6488 + b6500 + b6510 + b6513 + b6557 + b6563
       + b6565 + b6611 + b6637 + b6649 + b6655 + b6703 + b6709 + b6712 + b6724
       + b6729 + b6766 + b6799 + b6816 + b6842 + b6859 + b6892 + b6909 + b6930
       + b6953 + b6966 + b6976 + b7015 + b7101 + b7121 + b7157 + b7158 + b7224
       + b7228 + b7232 + b7318 + b7328 + b7366 + b7393 + b7427 + b7468 + b7469
       + b7622 + b7631 + b7637 + b7653 + b7654 + b7662 + b7679 + b7693 + b7696
       + b7700 + b7712 + b7713 + b7740 + b7741 + b7834 + b7873 + b7881 + b7887
       + b7905 + b7918 + b7920 + b7926 + b7947 + b7957 + b8093 + b8125 + b8141
       + b8174 + b8199 + b8216 + b8227 + b8236 + b8256 + b8273 + b8297 + b8298
       + b8315 + b8334 + b8349 + b8392 + b8418 + b8431 + b8433 + b8496 + b8604
       + b8646 + b8659 + b8661 + b8689 + b8693 + b8724 + b8731 + b8741 + b8745
       + b8750 + b8754 + b8774 + b8779 + b8791 + b8796 + b8816 + b8827 + b8832
       + b8862 + b8904 = 1;

e620:    b218 + b233 + b268 + b292 + b325 + b526 + b591 + b607 + b609 + b622
       + b623 + b674 + b675 + b694 + b703 + b715 + b725 + b766 + b786 + b794
       + b814 + b827 + b833 + b843 + b959 + b1069 + b1091 + b1098 + b1167
       + b1338 + b1414 + b1437 + b1496 + b1562 + b1711 + b1792 + b1865 + b1983
       + b1997 + b2036 + b2055 + b2078 + b2102 + b2113 + b2165 + b2166 + b2184
       + b2185 + b2270 + b2273 + b2381 + b2415 + b2437 + b2461 + b2476 + b2526
       + b2535 + b2536 + b2746 + b2811 + b2836 + b2888 + b2946 + b2994 + b3014
       + b3030 + b3076 + b3088 + b3154 + b3155 + b3164 + b3188 + b3201 + b3317
       + b3520 + b3525 + b3540 + b3556 + b3571 + b3600 + b3611 + b3700 + b3715
       + b3736 + b3835 + b3844 + b3853 + b3864 + b3875 + b3887 + b3893 + b3895
       + b3908 + b3922 + b3985 + b4100 + b4189 + b4222 + b4279 + b4303 + b4310
       + b4324 + b4348 + b4375 + b4424 + b4456 + b4504 + b4643 + b4652 + b4666
       + b4673 + b4682 + b4714 + b4726 + b4740 + b4751 + b4768 + b4786 + b4943
       + b4998 + b5058 + b5088 + b5111 + b5127 + b5142 + b5185 + b5198 + b5208
       + b5225 + b5226 + b5251 + b5307 + b5310 + b5329 + b5385 + b5401 + b5410
       + b5415 + b5458 + b5500 + b5519 + b5632 + b5660 + b5661 + b5680 + b5685
       + b5692 + b5755 + b5801 + b5833 + b5855 + b5876 + b5914 + b6039 + b6044
       + b6076 + b6077 + b6093 + b6194 + b6195 + b6401 + b6417 + b6422 + b6536
       + b6799 + b6842 + b6858 + b6859 + b6872 + b6900 + b6909 + b6953 + b6966
       + b7015 + b7232 + b7318 + b7340 + b7366 + b7402 + b7414 + b7427 + b7468
       + b7483 + b7619 + b7637 + b7653 + b7654 + b7681 + b7699 + b7741 + b7817
       + b7865 + b7873 + b7881 + b7887 + b7905 + b7926 + b7934 + b7947 + b7957
       + b7992 + b8032 + b8093 + b8141 + b8158 + b8199 + b8216 + b8234 + b8236
       + b8297 + b8298 + b8313 + b8315 + b8392 + b8496 + b8661 + b8693 + b8738
       + b8751 + b8754 + b8768 + b8791 = 1;

e621:    b218 + b233 + b268 + b292 + b325 + b526 + b591 + b607 + b622 + b623
       + b674 + b675 + b694 + b703 + b715 + b725 + b731 + b766 + b786 + b794
       + b814 + b827 + b833 + b843 + b959 + b1091 + b1098 + b1167 + b1338
       + b1414 + b1437 + b1496 + b1562 + b1711 + b1792 + b1865 + b1962 + b2036
       + b2055 + b2078 + b2102 + b2113 + b2165 + b2166 + b2184 + b2185 + b2270
       + b2273 + b2381 + b2384 + b2400 + b2415 + b2437 + b2461 + b2476 + b2526
       + b2535 + b2536 + b2716 + b2746 + b2811 + b2822 + b2888 + b2946 + b2994
       + b3014 + b3030 + b3076 + b3088 + b3154 + b3155 + b3164 + b3188 + b3201
       + b3317 + b3520 + b3525 + b3540 + b3556 + b3571 + b3600 + b3611 + b3700
       + b3715 + b3736 + b3835 + b3844 + b3853 + b3864 + b3875 + b3887 + b3893
       + b3895 + b3908 + b3922 + b3985 + b4100 + b4189 + b4194 + b4222 + b4279
       + b4303 + b4310 + b4324 + b4348 + b4375 + b4424 + b4456 + b4504 + b4643
       + b4652 + b4666 + b4673 + b4682 + b4714 + b4726 + b4740 + b4751 + b4768
       + b4786 + b4943 + b4998 + b5058 + b5088 + b5111 + b5127 + b5142 + b5173
       + b5185 + b5198 + b5208 + b5225 + b5226 + b5251 + b5307 + b5310 + b5329
       + b5385 + b5401 + b5410 + b5415 + b5458 + b5500 + b5519 + b5632 + b5660
       + b5661 + b5680 + b5685 + b5692 + b5755 + b5801 + b5833 + b5855 + b5876
       + b5914 + b6039 + b6044 + b6076 + b6077 + b6194 + b6195 + b6401 + b6417
       + b6422 + b6536 + b6799 + b6815 + b6842 + b6858 + b6872 + b6900 + b6909
       + b6953 + b6966 + b7015 + b7228 + b7232 + b7318 + b7340 + b7366 + b7402
       + b7414 + b7427 + b7468 + b7483 + b7489 + b7619 + b7637 + b7653 + b7654
       + b7681 + b7699 + b7741 + b7817 + b7865 + b7873 + b7881 + b7887 + b7905
       + b7926 + b7934 + b7947 + b7957 + b7992 + b8032 + b8093 + b8141 + b8158
       + b8199 + b8216 + b8234 + b8236 + b8297 + b8298 + b8313 + b8315 + b8392
       + b8661 + b8693 + b8738 + b8751 + b8754 + b8768 + b8791 = 1;

e622:    b42 + b233 + b268 + b323 + b325 + b438 + b552 + b591 + b607 + b674
       + b675 + b682 + b725 + b786 + b802 + b843 + b1026 + b1072 + b1167
       + b1235 + b1299 + b1313 + b1334 + b1414 + b1418 + b1461 + b1668 + b1680
       + b1697 + b1752 + b1962 + b2040 + b2078 + b2185 + b2231 + b2273 + b2342
       + b2343 + b2438 + b2449 + b2526 + b2535 + b2791 + b2811 + b2919 + b2994
       + b3154 + b3188 + b3201 + b3282 + b3316 + b3515 + b3525 + b3571 + b3582
       + b3677 + b3683 + b3700 + b3875 + b3880 + b3985 + b4194 + b4257 + b4277
       + b4291 + b4303 + b4324 + b4348 + b4375 + b4424 + b4456 + b4535 + b4557
       + b4666 + b4727 + b4751 + b4757 + b4774 + b5073 + b5088 + b5089 + b5142
       + b5178 + b5181 + b5207 + b5226 + b5329 + b5398 + b5401 + b5410 + b5506
       + b5721 + b5755 + b5833 + b5939 + b6030 + b6042 + b6044 + b6077 + b6136
       + b6142 + b6185 + b6195 + b6401 + b6414 + b6536 + b6552 + b6572 + b6766
       + b6842 + b6872 + b6900 + b6930 + b6991 + b7015 + b7340 + b7414 + b7464
       + b7468 + b7489 + b7619 + b7640 + b7665 + b7681 + b7707 + b7817 + b7926
       + b7934 + b7947 + b7992 + b8031 + b8032 + b8051 + b8158 + b8234 + b8297
       + b8322 + b8334 + b8609 + b8648 + b8684 + b8693 + b8738 + b8751 + b8754
       + b8828 = 1;

e623:    b10 + b42 + b233 + b268 + b323 + b325 + b438 + b516 + b552 + b591
       + b622 + b657 + b674 + b675 + b717 + b725 + b786 + b802 + b825 + b843
       + b1026 + b1072 + b1235 + b1288 + b1299 + b1334 + b1418 + b1453 + b1461
       + b1668 + b1697 + b1752 + b1771 + b1962 + b2231 + b2239 + b2267 + b2273
       + b2343 + b2438 + b2449 + b2526 + b2535 + b2791 + b2811 + b2994 + b3046
       + b3066 + b3154 + b3201 + b3282 + b3316 + b3479 + b3515 + b3525 + b3560
       + b3576 + b3582 + b3677 + b3683 + b3875 + b3880 + b3908 + b3985 + b4023
       + b4034 + b4194 + b4257 + b4291 + b4303 + b4324 + b4348 + b4375 + b4456
       + b4535 + b4666 + b4727 + b4738 + b4757 + b4774 + b4942 + b5073 + b5088
       + b5089 + b5127 + b5141 + b5142 + b5181 + b5207 + b5226 + b5242 + b5303
       + b5329 + b5398 + b5401 + b5506 + b5721 + b5746 + b5755 + b5939 + b6044
       + b6185 + b6195 + b6401 + b6414 + b6536 + b6620 + b6696 + b6697 + b6776
       + b6842 + b6843 + b6872 + b6900 + b6930 + b6991 + b7015 + b7328 + b7340
       + b7414 + b7464 + b7468 + b7619 + b7640 + b7665 + b7681 + b7707 + b7817
       + b7926 + b7982 + b8031 + b8051 + b8234 + b8236 + b8316 + b8322 + b8550
       + b8648 + b8738 + b8751 + b8828 = 1;

e624:    b10 + b42 + b237 + b438 + b495 + b516 + b526 + b545 + b622 + b657
       + b675 + b725 + b776 + b825 + b843 + b1040 + b1235 + b1271 + b1288
       + b1299 + b1313 + b1334 + b1441 + b1461 + b1697 + b1726 + b1752 + b1800
       + b1973 + b2239 + b2811 + b2994 + b3046 + b3201 + b3294 + b3316 + b3497
       + b3515 + b3525 + b3560 + b3567 + b3576 + b3582 + b3655 + b3772 + b3805
       + b3911 + b3985 + b3997 + b4034 + b4143 + b4257 + b4292 + b4324 + b4331
       + b4375 + b4399 + b4535 + b4666 + b4667 + b4727 + b4985 + b5003 + b5089
       + b5099 + b5166 + b5178 + b5181 + b5207 + b5242 + b5257 + b5291 + b5398
       + b5510 + b5721 + b5733 + b5813 + b5857 + b6044 + b6094 + b6142 + b6189
       + b6414 + b6428 + b6493 + b6551 + b6611 + b6637 + b6776 + b6842 + b6843
       + b6900 + b7015 + b7328 + b7339 + b7340 + b7406 + b7478 + b7640 + b7684
       + b7696 + b7937 + b7941 + b7963 + b8031 + b8068 + b8112 + b8129 + b8174
       + b8205 + b8236 + b8273 + b8322 + b8339 + b8403 + b8417 + b8550 + b8604
       + b8609 + b8745 + b8800 + b8828 = 1;

e625:    b10 + b42 + b237 + b438 + b495 + b516 + b526 + b545 + b622 + b657
       + b675 + b725 + b776 + b825 + b843 + b1040 + b1235 + b1271 + b1288
       + b1299 + b1313 + b1334 + b1417 + b1441 + b1461 + b1697 + b1726 + b1752
       + b1800 + b1973 + b2239 + b2672 + b2802 + b2811 + b2994 + b3046 + b3201
       + b3294 + b3316 + b3497 + b3515 + b3525 + b3560 + b3567 + b3576 + b3582
       + b3655 + b3772 + b3805 + b3911 + b3985 + b3997 + b4034 + b4143 + b4257
       + b4292 + b4324 + b4331 + b4375 + b4399 + b4535 + b4666 + b4667 + b4727
       + b4985 + b5003 + b5072 + b5089 + b5099 + b5166 + b5178 + b5181 + b5207
       + b5242 + b5257 + b5291 + b5398 + b5510 + b5721 + b5733 + b5813 + b5857
       + b6044 + b6094 + b6142 + b6189 + b6414 + b6428 + b6479 + b6493 + b6506
       + b6551 + b6611 + b6637 + b6776 + b6842 + b6843 + b6900 + b7015 + b7078
       + b7328 + b7339 + b7340 + b7406 + b7478 + b7640 + b7684 + b7696 + b7834
       + b7937 + b7941 + b7963 + b8031 + b8068 + b8112 + b8129 + b8174 + b8205
       + b8236 + b8273 + b8282 + b8322 + b8339 + b8403 + b8417 + b8550 + b8604
       + b8609 + b8745 + b8800 + b8828 = 1;

e626:    b11 + b68 + b72 + b87 + b246 + b328 + b405 + b431 + b436 + b464 + b512
       + b559 + b595 + b647 + b668 + b690 + b750 + b776 + b822 + b917 + b1131
       + b1168 + b1249 + b1287 + b1419 + b1437 + b1463 + b1500 + b1554 + b1615
       + b1758 + b2071 + b2181 + b2260 + b2325 + b2461 + b2475 + b2489 + b2651
       + b2675 + b2738 + b2799 + b2870 + b2877 + b2888 + b2907 + b3035 + b3049
       + b3050 + b3163 + b3205 + b3362 + b3383 + b3390 + b3403 + b3412 + b3465
       + b3549 + b3625 + b3670 + b3741 + b3749 + b3756 + b3801 + b3829 + b3837
       + b3855 + b3904 + b3935 + b3990 + b4109 + b4189 + b4247 + b4343 + b4391
       + b4392 + b4489 + b4512 + b4590 + b4652 + b4772 + b4919 + b4998 + b4999
       + b5003 + b5065 + b5081 + b5105 + b5175 + b5208 + b5210 + b5239 + b5249
       + b5255 + b5259 + b5385 + b5425 + b5437 + b5507 + b5576 + b5610 + b5673
       + b5784 + b5801 + b5826 + b5880 + b5893 + b5919 + b5960 + b6051 + b6134
       + b6135 + b6163 + b6199 + b6267 + b6334 + b6677 + b6721 + b6790 + b7061
       + b7080 + b7175 + b7226 + b7236 + b7306 + b7452 + b7481 + b7646 + b7755
       + b7787 + b7807 + b7838 + b7854 + b7863 + b7892 + b7896 + b7905 + b7958
       + b8034 + b8074 + b8143 + b8144 + b8155 + b8258 + b8332 + b8355 + b8407
       + b8424 + b8494 + b8516 + b8578 + b8584 + b8642 + b8701 + b8747 + b8886
       = 1;

e627:    b11 + b68 + b72 + b87 + b246 + b328 + b405 + b431 + b436 + b464 + b512
       + b559 + b595 + b647 + b668 + b690 + b750 + b776 + b822 + b917 + b950
       + b1168 + b1249 + b1280 + b1287 + b1385 + b1419 + b1437 + b1500 + b1554
       + b1615 + b1758 + b1964 + b2260 + b2325 + b2461 + b2475 + b2489 + b2675
       + b2738 + b2799 + b2870 + b2877 + b2888 + b2907 + b3035 + b3049 + b3050
       + b3163 + b3205 + b3362 + b3377 + b3383 + b3390 + b3412 + b3538 + b3625
       + b3670 + b3741 + b3749 + b3756 + b3801 + b3829 + b3837 + b3855 + b3904
       + b3935 + b3990 + b4189 + b4247 + b4343 + b4489 + b4512 + b4590 + b4652
       + b4772 + b4919 + b4998 + b4999 + b5003 + b5065 + b5081 + b5105 + b5175
       + b5208 + b5210 + b5239 + b5249 + b5255 + b5259 + b5385 + b5408 + b5425
       + b5437 + b5507 + b5576 + b5610 + b5673 + b5686 + b5784 + b5801 + b5826
       + b5893 + b5960 + b6051 + b6134 + b6135 + b6163 + b6199 + b6267 + b6334
       + b6677 + b6721 + b6790 + b7080 + b7226 + b7236 + b7306 + b7452 + b7481
       + b7646 + b7755 + b7787 + b7829 + b7838 + b7854 + b7863 + b7892 + b7896
       + b7905 + b8056 + b8074 + b8144 + b8155 + b8258 + b8332 + b8355 + b8407
       + b8424 + b8516 + b8578 + b8584 + b8642 + b8701 + b8886 = 1;

e628:    b72 + b115 + b122 + b237 + b736 + b776 + b822 + b1157 + b1166 + b1249
       + b1423 + b1500 + b1758 + b1768 + b2071 + b2333 + b2351 + b2364 + b2488
       + b2546 + b2870 + b2877 + b2907 + b3050 + b3163 + b3205 + b3227 + b3390
       + b3391 + b3615 + b3625 + b3741 + b3749 + b3826 + b3837 + b3849 + b3902
       + b3904 + b3935 + b3990 + b4286 + b4384 + b4391 + b4512 + b4559 + b4565
       + b4590 + b4681 + b5081 + b5105 + b5175 + b5239 + b5249 + b5425 + b5437
       + b5584 + b5784 + b5826 + b5865 + b6001 + b6015 + b6134 + b6135 + b6163
       + b6199 + b6267 + b6334 + b6486 + b6721 + b6779 + b6785 + b6827 + b6878
       + b6917 + b7289 + b7452 + b7501 + b7646 + b7787 + b7815 + b8034 + b8125
       + b8130 + b8349 + b8355 + b8407 + b8424 + b8642 + b8747 + b8886 = 1;

e629:    b72 + b115 + b237 + b559 + b736 + b776 + b822 + b1157 + b1249 + b1271
       + b1272 + b1423 + b1500 + b1768 + b2071 + b2333 + b2488 + b2546 + b2738
       + b2869 + b2870 + b2877 + b2907 + b3049 + b3050 + b3205 + b3390 + b3391
       + b3503 + b3625 + b3705 + b3826 + b3837 + b3935 + b4286 + b4391 + b4512
       + b4559 + b4590 + b4681 + b5105 + b5175 + b5249 + b5255 + b5437 + b5507
       + b5584 + b5673 + b5685 + b5845 + b5865 + b6015 + b6134 + b6199 + b6267
       + b6486 + b6785 + b6799 + b6878 + b6917 + b7289 + b7307 + b7452 + b7482
       + b7646 + b7787 + b7892 + b7896 + b7908 + b7997 + b8034 + b8074 + b8125
       + b8349 + b8355 + b8407 + b8642 + b8747 + b8886 = 1;

e630:    b237 + b545 + b585 + b631 + b640 + b676 + b723 + b744 + b750 + b751
       + b776 + b821 + b1002 + b1148 + b1249 + b1271 + b1353 + b1510 + b1640
       + b1725 + b2333 + b2388 + b2546 + b2785 + b2877 + b2949 + b2961 + b3205
       + b3391 + b3497 + b3615 + b3625 + b3647 + b3808 + b4143 + b4183 + b4195
       + b4565 + b4667 + b4900 + b5099 + b5263 + b5325 + b5398 + b5425 + b5584
       + b5649 + b5667 + b5732 + b5845 + b5865 + b6015 + b6134 + b6199 + b6454
       + b6813 + b6917 + b7289 + b7399 + b7480 + b7495 + b7547 + b7665 + b7910
       + b7997 + b8167 + b8701 = 1;

e631:    b237 + b545 + b585 + b631 + b676 + b723 + b750 + b751 + b776 + b821
       + b1002 + b1148 + b1271 + b1510 + b1725 + b2333 + b2546 + b2785 + b2877
       + b2949 + b2961 + b3205 + b3391 + b3497 + b3615 + b3625 + b3647 + b3808
       + b4143 + b4195 + b4263 + b4565 + b4667 + b4900 + b5099 + b5263 + b5325
       + b5398 + b5425 + b5584 + b5649 + b5667 + b5845 + b5865 + b6015 + b6134
       + b6199 + b6454 + b6611 + b6813 + b6917 + b7289 + b7399 + b7480 + b7495
       + b7547 + b7665 + b7910 + b7997 + b8167 + b8701 + b8731 + b8800 = 1;

e632:    b315 + b354 + b405 + b431 + b474 + b552 + b585 + b591 + b631 + b632
       + b645 + b676 + b748 + b750 + b751 + b786 + b1002 + b1148 + b1180
       + b1474 + b1548 + b1725 + b2092 + b2333 + b2343 + b2438 + b2546 + b2598
       + b2685 + b2688 + b2695 + b2738 + b2785 + b2791 + b2843 + b2851 + b2877
       + b2949 + b3154 + b3412 + b3456 + b3615 + b3647 + b3733 + b4213 + b4263
       + b4565 + b4772 + b4891 + b4910 + b4921 + b5325 + b5425 + b5546 + b5584
       + b5610 + b5667 + b5740 + b5755 + b5806 + b5845 + b5865 + b5893 + b6008
       + b6051 + b6185 + b6454 + b6530 + b6760 + b6813 + b7080 + b7093 + b7094
       + b7224 + b7289 + b7306 + b7414 + b7464 + b7468 + b7479 + b7480 + b7495
       + b7591 + b7665 + b7681 + b7881 + b7886 + b7910 + b7958 + b7960 + b7997
       + b8024 + b8167 + b8168 + b8701 + b8731 = 1;

e633:    b122 + b315 + b354 + b405 + b431 + b474 + b552 + b585 + b591 + b631
       + b632 + b645 + b676 + b748 + b750 + b751 + b786 + b1002 + b1148 + b1166
       + b1180 + b1474 + b1548 + b1725 + b1758 + b2092 + b2333 + b2343 + b2438
       + b2546 + b2598 + b2685 + b2688 + b2695 + b2738 + b2785 + b2791 + b2843
       + b2851 + b2877 + b2949 + b3154 + b3412 + b3456 + b3615 + b3647 + b3733
       + b3741 + b3749 + b3849 + b3902 + b4213 + b4263 + b4384 + b4565 + b4772
       + b4891 + b4910 + b4921 + b5081 + b5239 + b5325 + b5425 + b5546 + b5584
       + b5610 + b5667 + b5740 + b5755 + b5784 + b5806 + b5826 + b5845 + b5865
       + b5893 + b6008 + b6051 + b6185 + b6334 + b6454 + b6530 + b6721 + b6760
       + b6779 + b6813 + b7080 + b7093 + b7094 + b7224 + b7289 + b7306 + b7414
       + b7464 + b7468 + b7479 + b7480 + b7495 + b7591 + b7665 + b7681 + b7815
       + b7881 + b7886 + b7910 + b7958 + b7960 + b7997 + b8024 + b8167 + b8168
       + b8424 + b8701 + b8731 = 1;

e634:    b97 + b148 + b172 + b194 + b347 + b361 + b407 + b466 + b487 + b604
       + b605 + b661 + b705 + b770 + b797 + b820 + b839 + b981 + b1048 + b1110
       + b1128 + b1147 + b1153 + b1196 + b1213 + b1292 + b1340 + b1347 + b1358
       + b1520 + b1544 + b1559 + b1706 + b1714 + b1741 + b1755 + b1783 + b1896
       + b2138 + b2210 + b2216 + b2490 + b2607 + b2674 + b2702 + b2706 + b2793
       + b2858 + b2920 + b2938 + b2948 + b3005 + b3052 + b3270 + b3418 + b3448
       + b3459 + b3511 + b3513 + b3608 + b3748 + b3838 + b3868 + b3973 + b3976
       + b4102 + b4179 + b4199 + b4225 + b4372 + b4473 + b4493 + b4647 + b4697
       + b4718 + b4806 + b4830 + b4895 + b4945 + b4957 + b4988 + b5008 + b5054
       + b5070 + b5139 + b5189 + b5435 + b5461 + b5561 + b5564 + b5593 + b5742
       + b5785 + b5842 + b5953 + b6070 + b6131 + b6159 + b6209 + b6385 + b6550
       + b6629 + b6661 + b6781 + b6884 + b7013 + b7016 + b7046 + b7072 + b7079
       + b7122 + b7168 + b7208 + b7350 + b7493 + b7688 + b7690 + b7788 + b7845
       + b7889 + b7961 + b7968 + b7994 + b8023 + b8076 + b8135 + b8183 + b8341
       + b8393 + b8429 + b8499 + b8599 + b8651 + b8705 + b8784 = 1;

e635:    b97 + b148 + b172 + b194 + b347 + b361 + b407 + b466 + b487 + b604
       + b605 + b661 + b705 + b770 + b797 + b820 + b839 + b981 + b1048 + b1110
       + b1128 + b1147 + b1153 + b1196 + b1213 + b1292 + b1340 + b1347 + b1358
       + b1520 + b1544 + b1559 + b1706 + b1714 + b1741 + b1755 + b1783 + b1896
       + b2138 + b2210 + b2216 + b2490 + b2607 + b2674 + b2702 + b2706 + b2793
       + b2858 + b2920 + b2938 + b2948 + b3005 + b3052 + b3270 + b3418 + b3448
       + b3459 + b3511 + b3513 + b3608 + b3748 + b3838 + b3868 + b3973 + b3976
       + b4102 + b4179 + b4199 + b4225 + b4372 + b4473 + b4493 + b4647 + b4697
       + b4718 + b4806 + b4830 + b4895 + b4945 + b4957 + b4988 + b5008 + b5054
       + b5070 + b5139 + b5189 + b5435 + b5461 + b5561 + b5564 + b5593 + b5742
       + b5785 + b5842 + b5953 + b6070 + b6131 + b6159 + b6209 + b6385 + b6550
       + b6629 + b6661 + b6781 + b6884 + b7013 + b7016 + b7046 + b7072 + b7079
       + b7122 + b7168 + b7208 + b7350 + b7493 + b7688 + b7690 + b7788 + b7845
       + b7889 + b7961 + b7968 + b7994 + b8023 + b8076 + b8135 + b8183 + b8341
       + b8393 + b8429 + b8499 + b8599 + b8651 + b8705 + b8784 = 1;

e636:    b97 + b219 + b243 + b251 + b361 + b716 + b797 + b839 + b857 + b981
       + b1047 + b1048 + b1110 + b1292 + b1520 + b1659 + b1706 + b1741 + b1744
       + b2186 + b2210 + b2490 + b2690 + b2702 + b2792 + b2793 + b2948 + b3005
       + b3052 + b3270 + b3485 + b3511 + b3719 + b4718 + b4830 + b5054 + b5126
       + b5139 + b5435 + b5464 + b5564 + b5691 + b5785 + b5933 + b6025 + b6070
       + b6112 + b6131 + b6159 + b6209 + b6614 + b6661 + b7072 + b7079 + b7122
       + b7168 + b7242 + b7688 + b7748 + b7801 + b8003 + b8006 + b8023 + b8095
       + b8183 + b8197 + b8320 + b8341 + b8393 = 1;

e637:    b97 + b219 + b243 + b251 + b361 + b716 + b797 + b839 + b857 + b981
       + b1047 + b1048 + b1110 + b1292 + b1520 + b1659 + b1706 + b1741 + b2490
       + b2690 + b2702 + b2793 + b2948 + b3005 + b3052 + b3485 + b3719 + b4718
       + b5139 + b5435 + b5464 + b5564 + b5785 + b5933 + b6025 + b6070 + b6112
       + b6131 + b6159 + b6209 + b6661 + b7072 + b7079 + b7122 + b7168 + b7688
       + b7748 + b7801 + b8003 + b8095 + b8183 + b8197 + b8320 + b8341 + b8393
       = 1;

e638:    b29 + b361 + b393 + b716 + b857 + b981 + b1048 + b1292 + b1431 + b1921
       + b2229 + b2255 + b2690 + b2702 + b2724 + b3485 + b3555 + b3664 + b3719
       + b3999 + b4139 + b5152 + b5435 + b5564 + b5764 + b6025 + b6661 + b6686
       + b7072 + b7079 + b7122 + b7168 + b7199 + b7407 + b7688 + b7748 + b7801
       + b8003 + b8095 + b8320 = 1;

e639:    b29 + b361 + b393 + b446 + b716 + b857 + b981 + b1048 + b1292 + b1431
       + b2007 + b2229 + b2255 + b2272 + b2690 + b2702 + b2724 + b3555 + b3664
       + b3719 + b3832 + b3999 + b5152 + b5435 + b5764 + b6025 + b6661 + b6686
       + b7072 + b7131 + b7199 + b7202 + b7407 + b7688 + b7801 + b8003 + b8095
       + b8320 + b8325 = 1;

e640:    b8 + b60 + b157 + b251 + b393 + b522 + b857 + b984 + b1082 + b1147
       + b1213 + b1292 + b1307 + b1340 + b1431 + b1597 + b1635 + b1687 + b1921
       + b2007 + b2029 + b2690 + b2723 + b3069 + b3259 + b3443 + b3486 + b3554
       + b3555 + b3592 + b3622 + b3664 + b3719 + b3752 + b3999 + b4139 + b4234
       + b4369 + b4474 + b4922 + b5152 + b5518 + b5628 + b5820 + b5856 + b6025
       + b6239 + b6661 + b6663 + b6923 + b7407 + b7688 + b7801 + b7845 + b8003
       + b8095 + b8267 + b8521 + b8630 + b8695 + b8704 + b8858 = 1;

e641:    b8 + b60 + b157 + b251 + b393 + b522 + b857 + b984 + b1082 + b1147
       + b1213 + b1292 + b1307 + b1340 + b1431 + b1597 + b1635 + b1687 + b1921
       + b1955 + b1974 + b2007 + b2029 + b2690 + b2723 + b3069 + b3259 + b3443
       + b3471 + b3486 + b3491 + b3554 + b3592 + b3719 + b3752 + b3999 + b4139
       + b4234 + b4369 + b4474 + b4922 + b5152 + b5518 + b5628 + b5820 + b5856
       + b6025 + b6239 + b6661 + b6663 + b6923 + b7407 + b7688 + b7801 + b7845
       + b8003 + b8095 + b8267 + b8521 + b8630 + b8695 + b8858 = 1;

e642:    b20 + b374 + b510 + b540 + b562 + b662 + b683 + b726 + b758 + b834
       + b1151 + b1163 + b1165 + b1169 + b1205 + b1729 + b1742 + b1861 + b1892
       + b1952 + b2067 + b2130 + b2186 + b2330 + b2340 + b2392 + b2559 + b2571
       + b2781 + b2824 + b2841 + b2940 + b2977 + b2978 + b3047 + b3079 + b3083
       + b3181 + b3300 + b3354 + b3481 + b3498 + b3508 + b3516 + b3522 + b3594
       + b3678 + b4009 + b4104 + b4174 + b4184 + b4325 + b4485 + b4487 + b4787
       + b4794 + b4804 + b4855 + b5170 + b5200 + b5300 + b5531 + b5550 + b5563
       + b5586 + b5675 + b5705 + b5716 + b5802 + b5816 + b6000 + b6196 + b6305
       + b6614 + b6765 + b7054 + b7184 + b7303 + b7304 + b7429 + b7453 + b7484
       + b7527 + b7759 + b7794 + b7799 + b7907 + b7983 + b8381 + b8434 + b8443
       + b8546 + b8560 + b8562 + b8867 + b8903 = 1;

e643:    b20 + b374 + b510 + b540 + b562 + b662 + b683 + b726 + b758 + b834
       + b1151 + b1163 + b1165 + b1169 + b1205 + b1729 + b1742 + b1861 + b1892
       + b1952 + b2067 + b2130 + b2186 + b2330 + b2340 + b2392 + b2559 + b2571
       + b2781 + b2824 + b2841 + b2940 + b2977 + b2978 + b3047 + b3079 + b3083
       + b3181 + b3300 + b3354 + b3481 + b3498 + b3508 + b3516 + b3522 + b3594
       + b3678 + b4009 + b4104 + b4174 + b4184 + b4325 + b4485 + b4487 + b4787
       + b4794 + b4804 + b4855 + b5170 + b5200 + b5300 + b5531 + b5550 + b5563
       + b5586 + b5675 + b5705 + b5716 + b5802 + b5816 + b6000 + b6196 + b6305
       + b6614 + b6765 + b7054 + b7184 + b7303 + b7304 + b7429 + b7453 + b7484
       + b7527 + b7759 + b7794 + b7799 + b7907 + b7983 + b8381 + b8434 + b8443
       + b8546 + b8560 + b8562 + b8867 + b8903 = 1;

e644:    b20 + b374 + b510 + b540 + b562 + b662 + b683 + b726 + b758 + b834
       + b1151 + b1163 + b1165 + b1169 + b1205 + b1729 + b1742 + b1861 + b1892
       + b1952 + b2067 + b2130 + b2186 + b2330 + b2340 + b2392 + b2559 + b2571
       + b2781 + b2824 + b2841 + b2940 + b2977 + b2978 + b3047 + b3079 + b3083
       + b3181 + b3300 + b3354 + b3481 + b3498 + b3508 + b3516 + b3522 + b3594
       + b3678 + b4009 + b4104 + b4174 + b4184 + b4325 + b4485 + b4487 + b4787
       + b4794 + b4804 + b4855 + b5170 + b5200 + b5300 + b5531 + b5550 + b5563
       + b5586 + b5675 + b5705 + b5716 + b5802 + b5816 + b6000 + b6196 + b6305
       + b6614 + b6765 + b7054 + b7184 + b7303 + b7304 + b7429 + b7453 + b7484
       + b7527 + b7759 + b7794 + b7799 + b7907 + b7983 + b8381 + b8434 + b8443
       + b8546 + b8560 + b8562 + b8867 + b8903 = 1;

e645:    b510 + b758 + b1169 + b1205 + b1729 + b1742 + b1892 + b2216 + b2340
       + b2342 + b2573 + b2721 + b3045 + b3078 + b3516 + b4009 + b4174 + b4787
       + b5200 + b5300 + b5563 + b5586 + b5607 + b5705 + b6030 + b6196 + b6305
       + b6766 + b7484 + b7490 + b7527 + b7799 + b7907 + b8214 + b8289 + b8381
       + b8434 + b8560 = 1;

e646:    b510 + b758 + b1729 + b1742 + b1892 + b2186 + b2210 + b2216 + b2340
       + b2342 + b2573 + b2792 + b3045 + b3078 + b3270 + b3516 + b4009 + b4174
       + b4787 + b5054 + b5126 + b5200 + b5300 + b5607 + b5691 + b5705 + b6030
       + b6196 + b6614 + b6766 + b7242 + b7484 + b7490 + b7527 + b7907 + b8006
       + b8023 + b8214 + b8289 + b8381 + b8434 + b8560 = 1;

e647:    b126 + b510 + b758 + b862 + b2080 + b2216 + b2342 + b2476 + b2573
       + b3045 + b4174 + b4354 + b4787 + b5022 + b5223 + b5300 + b5324 + b5705
       + b5987 + b6518 + b6766 + b7490 + b7527 + b8132 + b8214 + b8289 + b8381
       + b8560 + b8687 + b8730 = 1;

e648:    b19 + b126 + b221 + b232 + b510 + b758 + b780 + b825 + b1270 + b1566
       + b1886 + b1987 + b2216 + b2342 + b2497 + b2516 + b2573 + b2824 + b3037
       + b3045 + b3335 + b3571 + b4174 + b4176 + b4669 + b4766 + b4787 + b5214
       + b5223 + b5233 + b5300 + b5677 + b5681 + b5705 + b5967 + b6670 + b6766
       + b6932 + b7304 + b7358 + b7433 + b7473 + b7490 + b7527 + b7934 + b7994
       + b8214 + b8289 + b8381 + b8531 + b8560 = 1;

e649:    b19 + b221 + b232 + b251 + b293 + b465 + b516 + b607 + b622 + b780
       + b825 + b892 + b916 + b966 + b1001 + b1251 + b1256 + b1263 + b1270
       + b1327 + b1334 + b1393 + b1444 + b1509 + b1566 + b1580 + b1869 + b1876
       + b1887 + b1900 + b1905 + b1922 + b1940 + b2015 + b2067 + b2132 + b2216
       + b2239 + b2342 + b2352 + b2354 + b2392 + b2440 + b2443 + b2497 + b2516
       + b2573 + b2582 + b2606 + b2762 + b2792 + b2793 + b2824 + b2849 + b2896
       + b3004 + b3045 + b3046 + b3088 + b3122 + b3188 + b3201 + b3289 + b3326
       + b3490 + b3515 + b3523 + b3525 + b3560 + b3576 + b3623 + b3658 + b3805
       + b3908 + b4168 + b4350 + b4390 + b4734 + b4766 + b4877 + b4920 + b5000
       + b5058 + b5088 + b5126 + b5127 + b5133 + b5214 + b5242 + b5300 + b5347
       + b5427 + b5448 + b5451 + b5519 + b5586 + b5632 + b5645 + b5661 + b5677
       + b5680 + b5705 + b5816 + b5847 + b5868 + b5879 + b5967 + b6110 + b6255
       + b6301 + b6365 + b6371 + b6377 + b6475 + b6484 + b6535 + b6543 + b6620
       + b6642 + b6658 + b6659 + b6670 + b6683 + b6696 + b6776 + b6796 + b6843
       + b6935 + b6940 + b6983 + b6995 + b7006 + b7242 + b7328 + b7371 + b7408
       + b7473 + b7490 + b7619 + b7688 + b7760 + b7764 + b7821 + b7865 + b7901
       + b7934 + b7957 + b7959 + b7994 + b8021 + b8080 + b8129 + b8132 + b8199
       + b8214 + b8236 + b8289 + b8313 + b8501 + b8509 + b8546 + b8560 + b8562
       + b8635 + b8838 = 1;

e650:    b221 + b232 + b251 + b293 + b465 + b607 + b671 + b780 + b811 + b892
       + b916 + b966 + b1001 + b1251 + b1256 + b1263 + b1327 + b1334 + b1393
       + b1444 + b1509 + b1566 + b1580 + b1869 + b1876 + b1887 + b1900 + b1905
       + b1922 + b2015 + b2067 + b2132 + b2216 + b2342 + b2352 + b2354 + b2392
       + b2440 + b2443 + b2497 + b2516 + b2573 + b2582 + b2606 + b2762 + b2792
       + b2793 + b2824 + b2849 + b2896 + b3004 + b3021 + b3045 + b3088 + b3122
       + b3188 + b3201 + b3289 + b3326 + b3490 + b3515 + b3523 + b3525 + b3623
       + b3658 + b3805 + b4168 + b4350 + b4390 + b4734 + b4766 + b4877 + b4920
       + b5000 + b5058 + b5088 + b5126 + b5133 + b5179 + b5223 + b5300 + b5347
       + b5427 + b5448 + b5451 + b5519 + b5586 + b5622 + b5632 + b5645 + b5652
       + b5661 + b5674 + b5680 + b5705 + b5816 + b5847 + b5868 + b5879 + b5967
       + b6110 + b6255 + b6301 + b6365 + b6371 + b6475 + b6484 + b6535 + b6543
       + b6572 + b6659 + b6683 + b6796 + b6935 + b6983 + b6995 + b7006 + b7242
       + b7371 + b7408 + b7490 + b7619 + b7688 + b7760 + b7764 + b7821 + b7865
       + b7901 + b7934 + b7957 + b7959 + b7994 + b8021 + b8080 + b8129 + b8132
       + b8199 + b8214 + b8289 + b8313 + b8501 + b8509 + b8546 + b8560 + b8562
       + b8635 + b8684 + b8838 = 1;

e651:    b540 + b605 + b638 + b671 + b758 + b1302 + b2017 + b2216 + b2342
       + b2447 + b2476 + b2573 + b3045 + b4184 + b4227 + b4354 + b5179 + b5223
       + b5563 + b5652 + b5705 + b5758 + b5987 + b6395 + b6766 + b6983 + b6995
       + b7490 + b8132 + b8289 = 1;

e652:    b126 + b605 + b671 + b758 + b2216 + b2342 + b2447 + b2476 + b2563
       + b2573 + b3045 + b4227 + b4354 + b5179 + b5223 + b5563 + b5652 + b5705
       + b5758 + b5987 + b6766 + b7490 + b8132 + b8289 = 1;

e653:    b102 + b104 + b106 + b316 + b320 + b381 + b572 + b702 + b766 + b836
       + b859 + b863 + b876 + b1055 + b1146 + b1209 + b1293 + b1296 + b1305
       + b1386 + b1395 + b1414 + b1496 + b1556 + b1587 + b1605 + b1782 + b1835
       + b1864 + b2079 + b2109 + b2144 + b2170 + b2225 + b2356 + b2437 + b2481
       + b2595 + b2617 + b2659 + b2674 + b2727 + b2838 + b2897 + b3067 + b3128
       + b3308 + b3436 + b3449 + b3485 + b3517 + b3700 + b3769 + b3891 + b3967
       + b4067 + b4188 + b4303 + b4307 + b4310 + b4324 + b4379 + b4440 + b4492
       + b4781 + b4938 + b5103 + b5153 + b5166 + b5185 + b5202 + b5320 + b5328
       + b5458 + b5520 + b5547 + b5572 + b5695 + b5749 + b5773 + b5928 + b6072
       + b6118 + b6276 + b6311 + b6312 + b6422 + b6435 + b6436 + b6484 + b6495
       + b6587 + b6598 + b6615 + b6666 + b7044 + b7079 + b7194 + b7241 + b7266
       + b7339 + b7366 + b7402 + b7540 + b7699 + b7711 + b7799 + b7802 + b7828
       + b7912 + b7966 + b8032 + b8061 + b8072 + b8086 + b8134 + b8142 + b8158
       + b8279 + b8386 + b8421 + b8433 + b8441 + b8722 + b8738 + b8764 + b8791
       + b8814 + b8844 = 1;

e654:    b102 + b104 + b106 + b288 + b316 + b320 + b381 + b384 + b572 + b674
       + b675 + b766 + b836 + b859 + b863 + b876 + b981 + b1041 + b1055 + b1146
       + b1209 + b1293 + b1296 + b1305 + b1386 + b1395 + b1414 + b1519 + b1556
       + b1587 + b1605 + b1664 + b1782 + b1809 + b1835 + b1864 + b2079 + b2109
       + b2144 + b2170 + b2225 + b2437 + b2595 + b2617 + b2659 + b2674 + b2727
       + b2838 + b2897 + b3067 + b3128 + b3271 + b3308 + b3436 + b3449 + b3485
       + b3517 + b3700 + b3891 + b3967 + b4187 + b4188 + b4201 + b4303 + b4307
       + b4310 + b4324 + b4379 + b4440 + b4492 + b4613 + b4781 + b4828 + b4938
       + b5103 + b5142 + b5143 + b5153 + b5166 + b5185 + b5202 + b5292 + b5320
       + b5328 + b5458 + b5520 + b5547 + b5572 + b5695 + b5749 + b5773 + b5928
       + b5973 + b6072 + b6105 + b6118 + b6224 + b6276 + b6312 + b6435 + b6436
       + b6484 + b6495 + b6587 + b6598 + b6615 + b6666 + b6837 + b6894 + b7044
       + b7079 + b7194 + b7241 + b7266 + b7366 + b7380 + b7516 + b7540 + b7699
       + b7711 + b7799 + b7802 + b7828 + b7890 + b7912 + b7966 + b8032 + b8061
       + b8072 + b8086 + b8142 + b8158 + b8279 + b8386 + b8421 + b8433 + b8441
       + b8535 + b8722 + b8738 + b8764 + b8791 + b8814 + b8844 = 1;

e655:    b106 + b401 + b572 + b859 + b874 + b876 + b878 + b892 + b1056 + b1069
       + b1132 + b1143 + b1154 + b1209 + b1217 + b1296 + b1305 + b1371 + b1386
       + b1395 + b1425 + b1443 + b1530 + b1543 + b1556 + b1605 + b1664 + b1782
       + b1835 + b1852 + b1923 + b1954 + b1997 + b2100 + b2264 + b2276 + b2659
       + b2674 + b2727 + b2838 + b2867 + b2974 + b3107 + b3424 + b3436 + b3770
       + b3967 + b4070 + b4123 + b4199 + b4211 + b4307 + b4379 + b4429 + b4828
       + b4852 + b4927 + b4938 + b5085 + b5153 + b5320 + b5382 + b5472 + b5528
       + b5613 + b5749 + b5757 + b5773 + b5928 + b5950 + b6093 + b6105 + b6118
       + b6423 + b6436 + b6510 + b6587 + b7266 + b7555 + b7593 + b7711 + b7712
       + b7713 + b7837 + b7890 + b7995 + b8061 + b8108 + b8136 + b8142 + b8279
       + b8433 + b8471 + b8480 + b8603 + b8646 + b8764 = 1;

e656:    b892 + b1305 + b1371 + b1923 + b2838 + b2867 + b2974 + b3149 + b4070
       + b4828 + b5153 + b5613 + b5928 + b5950 + b6093 + b6510 + b7555 + b7890
       + b8433 + b8764 = 1;

e657:    b90 + b892 + b942 + b1278 + b1305 + b1371 + b1567 + b1665 + b1879
       + b1960 + b2459 + b2491 + b2617 + b2748 + b2867 + b2895 + b2935 + b2974
       + b3149 + b3876 + b3967 + b4013 + b4423 + b4494 + b4828 + b5613 + b5928
       + b5943 + b5950 + b6055 + b6093 + b6106 + b6265 + b6369 + b6397 + b6489
       + b6510 + b6885 + b7037 + b7109 + b7555 + b7890 + b7909 + b8296 + b8386
       + b8398 + b8433 = 1;

e658:    b7 + b106 + b139 + b341 + b452 + b619 + b892 + b942 + b1056 + b1069
       + b1132 + b1207 + b1209 + b1217 + b1305 + b1371 + b1468 + b1478 + b1665
       + b1879 + b1928 + b1960 + b1997 + b2151 + b2201 + b2264 + b2276 + b2491
       + b2659 + b2727 + b2848 + b2861 + b2867 + b2935 + b2974 + b3149 + b3278
       + b3306 + b3320 + b3436 + b3460 + b3967 + b4088 + b4098 + b4199 + b4236
       + b4344 + b4379 + b4423 + b4438 + b4494 + b4495 + b4720 + b4828 + b4848
       + b4927 + b4938 + b4968 + b5071 + b5086 + b5382 + b5472 + b5528 + b5613
       + b5655 + b5735 + b5749 + b5862 + b5928 + b5950 + b6055 + b6093 + b6106
       + b6265 + b6363 + b6369 + b6423 + b6436 + b6510 + b6688 + b6911 + b7037
       + b7266 + b7288 + b7298 + b7322 + b7555 + b7711 + b7712 + b7713 + b7775
       + b7890 + b7909 + b8042 + b8286 + b8398 + b8433 + b8437 + b8455 + b8458
       + b8474 + b8493 + b8504 + b8646 + b8726 + b8764 + b8905 = 1;

e659:    b210 + b310 + b327 + b552 + b848 + b874 + b1061 + b1137 + b1195
       + b1217 + b1256 + b1359 + b1405 + b1516 + b1987 + b2122 + b2137 + b2162
       + b2212 + b2466 + b2579 + b3094 + b3096 + b3107 + b3121 + b3414 + b3436
       + b3481 + b3757 + b3770 + b4063 + b4257 + b4376 + b4398 + b4425 + b4447
       + b4451 + b4453 + b4592 + b4672 + b4777 + b4902 + b5236 + b5317 + b5348
       + b5468 + b5604 + b5723 + b5848 + b5911 + b5935 + b5964 + b6314 + b6429
       + b6654 + b6757 + b7005 + b7145 + b7288 + b7333 + b7440 + b7455 + b7534
       + b7535 + b7555 + b7563 + b7740 + b7775 + b7779 + b7793 + b7848 + b7897
       + b8054 + b8108 + b8159 + b8458 + b8686 + b8793 + b8829 + b8837 + b8897
       = 1;

e660:    b210 + b310 + b327 + b552 + b848 + b874 + b1061 + b1217 + b1256
       + b1359 + b1405 + b1516 + b1987 + b2122 + b2137 + b2162 + b2212 + b2466
       + b2579 + b3094 + b3096 + b3107 + b3121 + b3436 + b3481 + b3757 + b4063
       + b4257 + b4376 + b4425 + b4447 + b4451 + b4453 + b4592 + b4672 + b4777
       + b5236 + b5317 + b5723 + b5848 + b5911 + b5935 + b5964 + b6314 + b6429
       + b6654 + b6757 + b7005 + b7145 + b7288 + b7333 + b7440 + b7455 + b7534
       + b7535 + b7555 + b7563 + b7740 + b7775 + b7779 + b7897 + b8054 + b8159
       + b8458 + b8686 + b8793 + b8829 + b8837 + b8844 + b8897 = 1;

e661:    b210 + b327 + b552 + b848 + b1061 + b1256 + b1359 + b1516 + b1987
       + b2137 + b2162 + b2466 + b2579 + b3094 + b3096 + b3481 + b3757 + b4063
       + b4257 + b4376 + b4447 + b4592 + b4672 + b5236 + b5723 + b5935 + b5964
       + b6314 + b6429 + b6757 + b7005 + b7145 + b7288 + b7333 + b7440 + b7455
       + b7535 + b7740 + b7775 + b7779 + b7897 + b8054 + b8159 + b8458 + b8686
       + b8837 = 1;

e662:    b206 + b210 + b280 + b327 + b401 + b848 + b1061 + b1067 + b1068
       + b1256 + b1359 + b1386 + b1666 + b1987 + b2466 + b2579 + b3054 + b3481
       + b3526 + b3723 + b3757 + b3892 + b4063 + b4440 + b4447 + b4592 + b4610
       + b4651 + b4672 + b4852 + b5119 + b5179 + b5235 + b5236 + b5277 + b5468
       + b5651 + b5723 + b5935 + b5964 + b6143 + b6429 + b6777 + b7145 + b7288
       + b7333 + b7371 + b7453 + b7455 + b7666 + b7670 + b7740 + b7779 + b7897
       + b8131 + b8348 + b8458 + b8480 + b8686 = 1;

e663:    b206 + b280 + b327 + b401 + b663 + b848 + b1061 + b1067 + b1068
       + b1256 + b1359 + b1386 + b1400 + b1456 + b1558 + b1666 + b1987 + b2126
       + b2466 + b2579 + b3054 + b3481 + b3526 + b3563 + b3566 + b3628 + b3723
       + b3757 + b3892 + b4063 + b4376 + b4440 + b4447 + b4592 + b4610 + b4651
       + b4672 + b4852 + b5063 + b5119 + b5179 + b5235 + b5236 + b5277 + b5468
       + b5651 + b5723 + b5935 + b5964 + b6032 + b6143 + b6304 + b6429 + b6612
       + b6777 + b6887 + b7145 + b7333 + b7343 + b7371 + b7449 + b7453 + b7455
       + b7666 + b7670 + b7740 + b7779 + b7897 + b8009 + b8131 + b8300 + b8348
       + b8480 + b8686 + b8833 = 1;

e664:    b148 + b1137 + b1256 + b1400 + b1558 + b2094 + b2137 + b2212 + b2579
       + b2608 + b2679 + b3036 + b3135 + b3628 + b3723 + b3994 + b4376 + b4425
       + b4447 + b4451 + b4651 + b4697 + b4843 + b5038 + b5115 + b5202 + b5235
       + b5277 + b5286 + b5604 + b5697 + b5723 + b5923 + b6032 + b6429 + b6612
       + b6710 + b6884 + b6887 + b7091 + b7145 + b7324 + b7333 + b7343 + b7371
       + b7455 + b7740 + b7828 + b8072 + b8131 + b8300 + b8348 + b8485 + b8686
       + b8743 + b8897 = 1;

e665:    b148 + b1137 + b1256 + b1400 + b1558 + b2094 + b2137 + b2212 + b2579
       + b2608 + b2679 + b3036 + b3135 + b3628 + b3723 + b3994 + b4376 + b4425
       + b4447 + b4451 + b4651 + b4697 + b4843 + b5038 + b5115 + b5202 + b5235
       + b5277 + b5286 + b5604 + b5697 + b5723 + b5923 + b6032 + b6429 + b6612
       + b6710 + b6884 + b6887 + b7091 + b7145 + b7324 + b7333 + b7343 + b7371
       + b7455 + b7740 + b7828 + b8072 + b8131 + b8300 + b8348 + b8485 + b8686
       + b8743 + b8897 = 1;

e666:    b115 + b218 + b219 + b230 + b243 + b385 + b580 + b594 + b652 + b706
       + b810 + b865 + b898 + b960 + b1098 + b1122 + b1132 + b1137 + b1143
       + b1206 + b1400 + b1425 + b1530 + b1548 + b1600 + b1666 + b1739 + b1762
       + b1814 + b1911 + b2036 + b2089 + b2099 + b2126 + b2153 + b2187 + b2212
       + b2266 + b2331 + b2461 + b2475 + b2489 + b2608 + b2894 + b2912 + b3035
       + b3036 + b3066 + b3135 + b3221 + b3372 + b3425 + b3510 + b3595 + b3628
       + b3723 + b3771 + b3834 + b3878 + b3892 + b3994 + b3999 + b4087 + b4123
       + b4189 + b4313 + b4414 + b4425 + b4429 + b4666 + b4682 + b4933 + b5003
       + b5004 + b5031 + b5038 + b5057 + b5077 + b5090 + b5118 + b5152 + b5202
       + b5277 + b5410 + b5551 + b5604 + b5613 + b5622 + b5652 + b5674 + b5685
       + b5697 + b5723 + b5757 + b5785 + b5823 + b5844 + b5900 + b5923 + b5934
       + b5950 + b6020 + b6060 + b6074 + b6092 + b6143 + b6237 + b6457 + b6461
       + b6562 + b6570 + b6577 + b6661 + b6710 + b6777 + b6799 + b6827 + b6884
       + b6887 + b6901 + b6909 + b7091 + b7145 + b7226 + b7238 + b7307 + b7319
       + b7324 + b7333 + b7334 + b7353 + b7404 + b7407 + b7441 + b7446 + b7455
       + b7482 + b7533 + b7631 + b7681 + b7741 + b7800 + b7856 + b7857 + b7873
       + b7905 + b8003 + b8072 + b8074 + b8093 + b8112 + b8126 + b8131 + b8172
       + b8228 + b8348 + b8483 + b8485 + b8794 + b8821 + b8861 + b8869 = 1;

e667:    b115 + b218 + b219 + b230 + b243 + b275 + b385 + b580 + b594 + b652
       + b706 + b810 + b865 + b898 + b901 + b960 + b1098 + b1122 + b1132
       + b1137 + b1143 + b1206 + b1400 + b1425 + b1530 + b1548 + b1600 + b1666
       + b1762 + b1814 + b1911 + b2036 + b2089 + b2099 + b2126 + b2145 + b2153
       + b2187 + b2212 + b2266 + b2331 + b2461 + b2475 + b2489 + b2608 + b2894
       + b2912 + b3035 + b3036 + b3066 + b3135 + b3221 + b3372 + b3425 + b3510
       + b3527 + b3595 + b3628 + b3723 + b3771 + b3834 + b3878 + b3892 + b3994
       + b3999 + b4087 + b4123 + b4189 + b4313 + b4333 + b4414 + b4425 + b4429
       + b4666 + b4682 + b4719 + b4933 + b5003 + b5004 + b5031 + b5038 + b5057
       + b5077 + b5090 + b5118 + b5152 + b5202 + b5277 + b5410 + b5551 + b5604
       + b5613 + b5622 + b5652 + b5674 + b5685 + b5690 + b5696 + b5697 + b5723
       + b5757 + b5785 + b5823 + b5844 + b5900 + b5923 + b5934 + b5950 + b6020
       + b6060 + b6074 + b6092 + b6126 + b6143 + b6157 + b6237 + b6457 + b6461
       + b6554 + b6562 + b6570 + b6577 + b6661 + b6710 + b6777 + b6799 + b6827
       + b6884 + b6887 + b6901 + b6909 + b7091 + b7145 + b7226 + b7238 + b7307
       + b7319 + b7324 + b7333 + b7334 + b7353 + b7404 + b7407 + b7441 + b7446
       + b7455 + b7482 + b7533 + b7631 + b7681 + b7741 + b7800 + b7856 + b7857
       + b7873 + b7905 + b8003 + b8072 + b8074 + b8093 + b8112 + b8126 + b8131
       + b8172 + b8228 + b8348 + b8483 + b8485 + b8794 + b8821 + b8845 + b8861
       + b8869 = 1;

e668:    b26 + b60 + b69 + b73 + b97 + b106 + b121 + b137 + b156 + b184 + b238
       + b258 + b299 + b315 + b327 + b337 + b368 + b372 + b400 + b435 + b479
       + b503 + b609 + b610 + b659 + b660 + b743 + b745 + b766 + b840 + b841
       + b845 + b871 + b943 + b1030 + b1055 + b1085 + b1086 + b1095 + b1111
       + b1131 + b1142 + b1158 + b1160 + b1174 + b1182 + b1257 + b1285 + b1304
       + b1385 + b1413 + b1470 + b1478 + b1579 + b1659 + b1754 + b1791 + b1838
       + b1948 + b1999 + b2056 + b2101 + b2143 + b2196 + b2208 + b2234 + b2264
       + b2270 + b2276 + b2285 + b2334 + b2356 + b2370 + b2415 + b2421 + b2434
       + b2456 + b2476 + b2493 + b2519 + b2521 + b2522 + b2564 + b2579 + b2592
       + b2598 + b2608 + b2689 + b2741 + b2764 + b2820 + b2851 + b2864 + b2865
       + b2930 + b2932 + b2937 + b2950 + b2954 + b2956 + b2973 + b2974 + b3006
       + b3013 + b3046 + b3069 + b3077 + b3090 + b3103 + b3104 + b3115 + b3170
       + b3182 + b3281 + b3288 + b3302 + b3320 + b3332 + b3348 + b3352 + b3358
       + b3377 + b3392 + b3403 + b3416 + b3418 + b3443 + b3450 + b3492 + b3511
       + b3512 + b3513 + b3688 + b3716 + b3718 + b3726 + b3730 + b3736 + b3738
       + b3741 + b3756 + b3816 + b3818 + b3941 + b3955 + b4041 + b4064 + b4159
       + b4179 + b4183 + b4187 + b4201 + b4206 + b4272 + b4310 + b4330 + b4371
       + b4380 + b4392 + b4408 + b4409 + b4462 + b4465 + b4474 + b4511 + b4538
       + b4598 + b4643 + b4662 + b4673 + b4730 + b4795 + b4841 + b4843 + b4893
       + b4908 + b4917 + b4934 + b5061 + b5131 + b5148 + b5165 + b5186 + b5218
       + b5257 + b5282 + b5294 + b5336 + b5429 + b5458 + b5472 + b5473 + b5477
       + b5486 + b5516 + b5528 + b5539 + b5561 + b5566 + b5571 + b5579 + b5593
       + b5614 + b5616 + b5626 + b5628 + b5632 + b5653 + b5660 + b5661 + b5808
       + b5866 + b5870 + b5919 + b5944 + b5949 + b5966 + b5972 + b5975 + b6045
       + b6183 + b6271 + b6304 + b6387 + b6393 + b6422 + b6423 + b6472 + b6510
       + b6606 + b6652 + b6737 + b6780 + b6832 + b6859 + b6860 + b6861 + b6906
       + b6961 + b7001 + b7020 + b7073 + b7077 + b7124 + b7128 + b7136 + b7162
       + b7169 + b7172 + b7233 + b7300 + b7314 + b7318 + b7339 + b7360 + b7379
       + b7380 + b7402 + b7437 + b7479 + b7507 + b7520 + b7538 + b7539 + b7571
       + b7620 + b7724 + b7739 + b7831 + b7841 + b7867 + b7887 + b7899 + b7903
       + b7906 + b7952 + b7963 + b8034 + b8068 + b8089 + b8165 + b8188 + b8191
       + b8272 + b8363 + b8395 + b8454 + b8460 + b8586 + b8598 + b8599 + b8612
       + b8628 + b8664 + b8691 + b8722 + b8747 + b8749 + b8770 + b8782 + b8802
       + b8831 + b8858 = 1;

e669:    b26 + b60 + b69 + b73 + b97 + b106 + b121 + b137 + b156 + b184 + b238
       + b258 + b299 + b315 + b327 + b337 + b368 + b372 + b400 + b435 + b479
       + b503 + b609 + b610 + b659 + b660 + b743 + b745 + b766 + b840 + b841
       + b845 + b871 + b943 + b1030 + b1055 + b1085 + b1086 + b1095 + b1111
       + b1131 + b1142 + b1158 + b1160 + b1174 + b1182 + b1257 + b1285 + b1304
       + b1385 + b1413 + b1470 + b1478 + b1579 + b1659 + b1754 + b1791 + b1838
       + b1948 + b1999 + b2056 + b2101 + b2143 + b2196 + b2208 + b2234 + b2264
       + b2270 + b2276 + b2285 + b2334 + b2356 + b2370 + b2415 + b2421 + b2434
       + b2456 + b2476 + b2493 + b2519 + b2521 + b2522 + b2564 + b2579 + b2592
       + b2598 + b2608 + b2689 + b2741 + b2764 + b2820 + b2851 + b2864 + b2865
       + b2930 + b2932 + b2937 + b2950 + b2954 + b2956 + b2973 + b2974 + b3006
       + b3013 + b3046 + b3069 + b3090 + b3103 + b3104 + b3115 + b3170 + b3182
       + b3281 + b3288 + b3302 + b3320 + b3332 + b3348 + b3358 + b3377 + b3392
       + b3403 + b3416 + b3418 + b3443 + b3450 + b3492 + b3511 + b3512 + b3513
       + b3688 + b3716 + b3718 + b3726 + b3730 + b3736 + b3738 + b3741 + b3756
       + b3816 + b3818 + b3941 + b3955 + b4041 + b4064 + b4159 + b4179 + b4183
       + b4187 + b4201 + b4206 + b4272 + b4310 + b4330 + b4371 + b4380 + b4392
       + b4408 + b4409 + b4462 + b4465 + b4474 + b4511 + b4538 + b4598 + b4643
       + b4662 + b4673 + b4730 + b4795 + b4838 + b4841 + b4843 + b4893 + b4908
       + b4917 + b4928 + b4934 + b5061 + b5131 + b5148 + b5165 + b5186 + b5218
       + b5257 + b5282 + b5294 + b5336 + b5429 + b5458 + b5472 + b5473 + b5477
       + b5486 + b5516 + b5528 + b5539 + b5561 + b5566 + b5571 + b5579 + b5593
       + b5614 + b5616 + b5626 + b5628 + b5632 + b5653 + b5660 + b5661 + b5808
       + b5866 + b5870 + b5919 + b5944 + b5949 + b5966 + b5972 + b5975 + b6045
       + b6183 + b6271 + b6304 + b6387 + b6393 + b6422 + b6423 + b6472 + b6510
       + b6606 + b6652 + b6737 + b6780 + b6832 + b6859 + b6860 + b6861 + b6906
       + b6961 + b7001 + b7020 + b7073 + b7077 + b7124 + b7128 + b7136 + b7162
       + b7169 + b7172 + b7233 + b7300 + b7314 + b7318 + b7339 + b7360 + b7379
       + b7380 + b7402 + b7437 + b7479 + b7507 + b7520 + b7538 + b7539 + b7571
       + b7620 + b7724 + b7739 + b7831 + b7841 + b7867 + b7887 + b7899 + b7903
       + b7906 + b7963 + b8000 + b8034 + b8068 + b8089 + b8165 + b8188 + b8191
       + b8272 + b8363 + b8395 + b8454 + b8460 + b8586 + b8598 + b8599 + b8612
       + b8628 + b8664 + b8691 + b8722 + b8747 + b8749 + b8770 + b8782 + b8802
       + b8831 + b8858 = 1;

e670:    b26 + b73 + b137 + b184 + b238 + b327 + b332 + b337 + b352 + b368
       + b479 + b487 + b609 + b610 + b659 + b660 + b663 + b688 + b719 + b743
       + b745 + b757 + b766 + b841 + b845 + b943 + b975 + b1041 + b1055 + b1085
       + b1086 + b1111 + b1128 + b1144 + b1147 + b1149 + b1153 + b1160 + b1171
       + b1182 + b1221 + b1257 + b1287 + b1304 + b1353 + b1445 + b1479 + b1499
       + b1533 + b1569 + b1592 + b1754 + b1765 + b1862 + b1948 + b1999 + b2101
       + b2196 + b2234 + b2276 + b2370 + b2421 + b2493 + b2507 + b2522 + b2564
       + b2665 + b2864 + b2865 + b2924 + b2930 + b2932 + b2937 + b2956 + b2974
       + b3006 + b3013 + b3046 + b3069 + b3077 + b3103 + b3288 + b3302 + b3308
       + b3348 + b3352 + b3377 + b3418 + b3450 + b3492 + b3513 + b3681 + b3688
       + b3718 + b3738 + b3744 + b3756 + b3781 + b3817 + b3818 + b3819 + b3955
       + b4041 + b4183 + b4187 + b4201 + b4206 + b4254 + b4310 + b4330 + b4380
       + b4408 + b4409 + b4465 + b4511 + b4613 + b4628 + b4662 + b4673 + b4730
       + b4795 + b4838 + b4865 + b4893 + b4917 + b4928 + b4934 + b5061 + b5063
       + b5131 + b5148 + b5165 + b5282 + b5294 + b5298 + b5472 + b5516 + b5520
       + b5528 + b5539 + b5561 + b5571 + b5593 + b5616 + b5626 + b5774 + b5837
       + b5870 + b5937 + b5944 + b5949 + b5962 + b5972 + b5980 + b6048 + b6058
       + b6304 + b6423 + b6510 + b6606 + b6652 + b6859 + b6860 + b6861 + b6961
       + b7073 + b7128 + b7136 + b7162 + b7169 + b7318 + b7379 + b7380 + b7507
       + b7539 + b7571 + b7620 + b7700 + b7788 + b7831 + b7952 + b8033 + b8089
       + b8150 + b8191 + b8395 + b8433 + b8516 + b8599 + b8664 + b8691 + b8742
       + b8770 + b8782 + b8802 + b8831 + b8846 = 1;

e671:    b26 + b73 + b119 + b137 + b184 + b238 + b327 + b332 + b352 + b368
       + b479 + b609 + b610 + b654 + b659 + b660 + b688 + b719 + b743 + b745
       + b757 + b766 + b841 + b845 + b871 + b909 + b943 + b975 + b1055 + b1060
       + b1061 + b1085 + b1086 + b1111 + b1144 + b1149 + b1153 + b1160 + b1171
       + b1182 + b1221 + b1257 + b1285 + b1287 + b1304 + b1353 + b1374 + b1445
       + b1471 + b1479 + b1496 + b1515 + b1533 + b1569 + b1592 + b1754 + b1765
       + b1862 + b1948 + b1999 + b2111 + b2196 + b2276 + b2356 + b2370 + b2421
       + b2481 + b2493 + b2507 + b2522 + b2564 + b2665 + b2864 + b2865 + b2901
       + b2924 + b2930 + b2932 + b2937 + b2956 + b2974 + b3006 + b3013 + b3046
       + b3077 + b3103 + b3288 + b3302 + b3308 + b3348 + b3352 + b3358 + b3377
       + b3418 + b3450 + b3492 + b3513 + b3645 + b3681 + b3688 + b3718 + b3738
       + b3744 + b3756 + b3781 + b3817 + b3819 + b3907 + b3955 + b4183 + b4206
       + b4254 + b4264 + b4310 + b4314 + b4330 + b4378 + b4380 + b4408 + b4409
       + b4465 + b4511 + b4595 + b4628 + b4662 + b4673 + b4730 + b4745 + b4838
       + b4865 + b4893 + b4917 + b4928 + b4934 + b5061 + b5063 + b5131 + b5148
       + b5165 + b5282 + b5298 + b5472 + b5504 + b5516 + b5520 + b5528 + b5539
       + b5571 + b5593 + b5616 + b5626 + b5774 + b5837 + b5937 + b5949 + b5962
       + b5972 + b5980 + b6048 + b6058 + b6422 + b6423 + b6510 + b6573 + b6606
       + b6652 + b6859 + b6860 + b6861 + b6961 + b7128 + b7136 + b7162 + b7169
       + b7244 + b7302 + b7318 + b7339 + b7379 + b7402 + b7409 + b7507 + b7571
       + b7620 + b7700 + b7788 + b7792 + b7831 + b7952 + b8089 + b8150 + b8191
       + b8395 + b8433 + b8516 + b8664 + b8691 + b8742 + b8770 + b8782 + b8846
       = 1;

e672:    b68 + b119 + b137 + b277 + b294 + b479 + b639 + b688 + b693 + b748
       + b826 + b873 + b884 + b909 + b1060 + b1086 + b1111 + b1149 + b1182
       + b1258 + b1263 + b1287 + b1304 + b1353 + b1406 + b1449 + b1499 + b1524
       + b1533 + b1569 + b1620 + b1727 + b1845 + b1855 + b1875 + b1973 + b1999
       + b2023 + b2056 + b2161 + b2196 + b2234 + b2370 + b2597 + b2665 + b2924
       + b2972 + b3013 + b3037 + b3044 + b3302 + b3308 + b3348 + b3461 + b3490
       + b3513 + b3537 + b3614 + b3645 + b3675 + b3756 + b3817 + b3870 + b3907
       + b4109 + b4183 + b4188 + b4234 + b4292 + b4311 + b4330 + b4362 + b4465
       + b4489 + b4546 + b4578 + b4637 + b4657 + b4843 + b4865 + b4893 + b5135
       + b5144 + b5186 + b5198 + b5233 + b5234 + b5251 + b5291 + b5298 + b5315
       + b5338 + b5432 + b5500 + b5504 + b5516 + b5539 + b5578 + b5680 + b5729
       + b5774 + b5835 + b5837 + b5870 + b5909 + b5914 + b6047 + b6048 + b6144
       + b6280 + b6294 + b6411 + b6553 + b6606 + b6860 + b6961 + b7128 + b7293
       + b7346 + b7379 + b7393 + b7406 + b7433 + b7469 + b7477 + b7478 + b7571
       + b7699 + b7700 + b7788 + b7807 + b7838 + b7865 + b7901 + b7977 + b8014
       + b8033 + b8091 + b8110 + b8150 + b8553 + b8564 + b8632 + b8691 + b8782
       + b8902 = 1;

e673:    b3 + b68 + b119 + b137 + b277 + b294 + b479 + b639 + b665 + b693
       + b727 + b748 + b826 + b870 + b873 + b884 + b909 + b1060 + b1138 + b1194
       + b1258 + b1263 + b1287 + b1304 + b1353 + b1426 + b1449 + b1524 + b1533
       + b1569 + b1609 + b1620 + b1727 + b1845 + b1875 + b1973 + b1999 + b2023
       + b2045 + b2090 + b2159 + b2161 + b2370 + b2532 + b2597 + b2665 + b3013
       + b3037 + b3117 + b3302 + b3308 + b3348 + b3369 + b3461 + b3490 + b3513
       + b3537 + b3645 + b3675 + b3691 + b3713 + b3756 + b3817 + b3907 + b4109
       + b4183 + b4188 + b4234 + b4292 + b4311 + b4330 + b4489 + b4546 + b4578
       + b4637 + b4657 + b4815 + b4843 + b4865 + b4893 + b5135 + b5144 + b5186
       + b5198 + b5233 + b5234 + b5251 + b5291 + b5298 + b5315 + b5338 + b5357
       + b5432 + b5500 + b5504 + b5680 + b5835 + b5850 + b5909 + b5914 + b6048
       + b6144 + b6280 + b6284 + b6328 + b6411 + b6960 + b7128 + b7293 + b7346
       + b7365 + b7379 + b7393 + b7406 + b7433 + b7469 + b7477 + b7478 + b7571
       + b7574 + b7699 + b7700 + b7781 + b7786 + b7788 + b7807 + b7838 + b7865
       + b7901 + b7977 + b8091 + b8110 + b8150 + b8213 + b8486 + b8564 + b8632
       + b8691 + b8782 + b8902 = 1;

e674:    b60 + b119 + b137 + b309 + b489 + b582 + b639 + b665 + b725 + b727
       + b748 + b754 + b843 + b870 + b884 + b909 + b938 + b1060 + b1138 + b1152
       + b1263 + b1285 + b1304 + b1449 + b1464 + b1500 + b1533 + b1609 + b1620
       + b1659 + b1845 + b1973 + b1982 + b1999 + b2023 + b2090 + b2370 + b2434
       + b2437 + b2522 + b2532 + b2584 + b2585 + b2631 + b2665 + b2689 + b2879
       + b2995 + b3037 + b3117 + b3119 + b3195 + b3302 + b3308 + b3327 + b3387
       + b3437 + b3450 + b3462 + b3645 + b3655 + b3675 + b3691 + b3713 + b3910
       + b4234 + b4292 + b4296 + b4297 + b4371 + b4383 + b4391 + b4458 + b4546
       + b4578 + b4643 + b4811 + b4815 + b4843 + b4854 + b4865 + b4904 + b5023
       + b5105 + b5129 + b5135 + b5186 + b5198 + b5233 + b5234 + b5251 + b5291
       + b5298 + b5338 + b5357 + b5422 + b5432 + b5486 + b5499 + b5500 + b5504
       + b5623 + b5680 + b5813 + b5850 + b5857 + b5909 + b5914 + b5952 + b6025
       + b6048 + b6131 + b6280 + b6328 + b6354 + b6411 + b6590 + b6818 + b6947
       + b6960 + b6961 + b7253 + b7255 + b7293 + b7365 + b7393 + b7406 + b7469
       + b7477 + b7565 + b7574 + b7575 + b7699 + b7700 + b7781 + b7786 + b7788
       + b7831 + b7841 + b7865 + b7901 + b7903 + b7937 + b8034 + b8091 + b8213
       + b8301 + b8320 + b8495 + b8564 + b8615 + b8625 + b8632 + b8747 + b8886
       + b8902 = 1;

e675:    b119 + b489 + b639 + b665 + b725 + b748 + b754 + b870 + b884 + b938
       + b1060 + b1138 + b1263 + b1304 + b1449 + b1464 + b1500 + b1533 + b1609
       + b1620 + b1659 + b1999 + b2023 + b2090 + b2370 + b2437 + b2522 + b2584
       + b2585 + b2689 + b2879 + b3117 + b3119 + b3195 + b3308 + b3327 + b3387
       + b3437 + b3450 + b3462 + b3645 + b3675 + b3691 + b3713 + b3910 + b4234
       + b4292 + b4297 + b4371 + b4383 + b4391 + b4458 + b4546 + b4643 + b4662
       + b4811 + b4815 + b4843 + b4854 + b4865 + b4904 + b5023 + b5129 + b5135
       + b5186 + b5233 + b5234 + b5251 + b5338 + b5357 + b5422 + b5432 + b5486
       + b5499 + b5500 + b5504 + b5566 + b5623 + b5813 + b5850 + b5909 + b5914
       + b5952 + b6025 + b6048 + b6131 + b6280 + b6328 + b6354 + b6590 + b6818
       + b6947 + b6961 + b7253 + b7255 + b7293 + b7365 + b7406 + b7469 + b7565
       + b7574 + b7575 + b7699 + b7700 + b7781 + b7786 + b7788 + b7831 + b7841
       + b7865 + b7903 + b7937 + b8091 + b8213 + b8301 + b8320 + b8495 + b8603
       + b8625 + b8632 + b8747 + b8886 + b8902 = 1;

e676:    b119 + b337 + b489 + b639 + b665 + b725 + b748 + b754 + b870 + b884
       + b938 + b1138 + b1263 + b1304 + b1449 + b1464 + b1500 + b1533 + b1609
       + b1620 + b1659 + b1999 + b2023 + b2090 + b2370 + b2421 + b2437 + b2510
       + b2522 + b2584 + b2585 + b2689 + b2879 + b3117 + b3119 + b3195 + b3308
       + b3327 + b3387 + b3437 + b3450 + b3462 + b3675 + b3691 + b3713 + b3716
       + b3910 + b4038 + b4234 + b4292 + b4297 + b4371 + b4383 + b4391 + b4458
       + b4511 + b4546 + b4628 + b4643 + b4662 + b4811 + b4815 + b4843 + b4854
       + b4865 + b4904 + b5129 + b5135 + b5186 + b5233 + b5234 + b5251 + b5338
       + b5357 + b5422 + b5432 + b5486 + b5500 + b5504 + b5566 + b5623 + b5813
       + b5850 + b5909 + b5914 + b5952 + b6025 + b6048 + b6131 + b6280 + b6328
       + b6590 + b6818 + b6947 + b6961 + b7253 + b7255 + b7293 + b7365 + b7406
       + b7469 + b7565 + b7574 + b7575 + b7699 + b7700 + b7781 + b7786 + b7788
       + b7831 + b7841 + b7865 + b7903 + b7937 + b8091 + b8213 + b8301 + b8320
       + b8495 + b8603 + b8625 + b8632 + b8747 + b8886 + b8902 = 1;

e677:    b119 + b137 + b309 + b337 + b639 + b665 + b725 + b727 + b748 + b754
       + b843 + b870 + b884 + b938 + b1138 + b1142 + b1152 + b1263 + b1304
       + b1449 + b1500 + b1533 + b1609 + b1620 + b1659 + b1845 + b1954 + b1973
       + b1982 + b1999 + b2023 + b2090 + b2370 + b2437 + b2510 + b2522 + b2584
       + b2585 + b2602 + b2631 + b2665 + b2689 + b2879 + b2995 + b3037 + b3117
       + b3165 + b3195 + b3302 + b3308 + b3327 + b3387 + b3437 + b3450 + b3462
       + b3655 + b3675 + b3691 + b3713 + b3910 + b4038 + b4234 + b4292 + b4297
       + b4383 + b4391 + b4458 + b4511 + b4546 + b4578 + b4643 + b4815 + b4843
       + b4854 + b4865 + b4904 + b5105 + b5129 + b5135 + b5186 + b5198 + b5233
       + b5234 + b5251 + b5291 + b5298 + b5338 + b5357 + b5422 + b5432 + b5486
       + b5500 + b5504 + b5566 + b5623 + b5680 + b5813 + b5850 + b5857 + b5909
       + b5914 + b5952 + b6025 + b6048 + b6131 + b6218 + b6280 + b6328 + b6411
       + b6947 + b6961 + b7253 + b7255 + b7293 + b7365 + b7393 + b7406 + b7469
       + b7477 + b7574 + b7575 + b7699 + b7700 + b7781 + b7786 + b7788 + b7841
       + b7865 + b7901 + b7903 + b7937 + b8034 + b8091 + b8197 + b8213 + b8320
       + b8495 + b8564 + b8603 + b8625 + b8632 + b8747 + b8886 + b8902 = 1;

e678:    b7 + b25 + b136 + b285 + b397 + b703 + b1045 + b1061 + b1239 + b1362
       + b1552 + b1562 + b1597 + b1635 + b1698 + b1960 + b2029 + b2055 + b2076
       + b2141 + b2287 + b2405 + b2454 + b2491 + b2540 + b2582 + b2657 + b2679
       + b2829 + b2912 + b3242 + b3358 + b3397 + b3694 + b3851 + b4274 + b4293
       + b4301 + b4344 + b4349 + b4378 + b4395 + b4492 + b4494 + b4495 + b5009
       + b5063 + b5504 + b5505 + b5595 + b5820 + b5855 + b5874 + b5899 + b5947
       + b6069 + b6391 + b6474 + b6511 + b6560 + b6778 + b6879 + b6892 + b6979
       + b7058 + b7311 + b7343 + b7353 + b7447 + b7449 + b7622 + b7771 + b7955
       + b7990 + b8135 + b8138 + b8171 + b8182 + b8265 + b8524 + b8682 + b8718
       + b8724 + b8768 + b8790 = 1;

e679:    b7 + b25 + b98 + b136 + b285 + b397 + b703 + b1045 + b1061 + b1239
       + b1362 + b1458 + b1552 + b1562 + b1597 + b1635 + b1698 + b1793 + b1794
       + b1960 + b2029 + b2055 + b2076 + b2141 + b2287 + b2324 + b2405 + b2411
       + b2454 + b2491 + b2540 + b2582 + b2657 + b2679 + b2829 + b2912 + b3242
       + b3358 + b3397 + b3694 + b3711 + b3851 + b4018 + b4274 + b4293 + b4301
       + b4344 + b4349 + b4378 + b4395 + b4492 + b4494 + b4495 + b5009 + b5063
       + b5498 + b5504 + b5505 + b5595 + b5820 + b5855 + b5874 + b5899 + b5947
       + b6069 + b6291 + b6391 + b6474 + b6511 + b6560 + b6778 + b6879 + b6892
       + b6979 + b7058 + b7191 + b7311 + b7343 + b7353 + b7447 + b7449 + b7622
       + b7771 + b7955 + b7990 + b8135 + b8138 + b8171 + b8182 + b8265 + b8427
       + b8524 + b8682 + b8718 + b8724 + b8768 + b8790 = 1;

e680:    b2055 + b2141 + b2287 + b2582 + b2729 + b2912 + b3032 + b3242 + b4249
       + b4274 + b5505 + b5595 + b5820 + b6391 + b6474 + b6511 + b7058 + b7065
       + b7353 + b7622 + b7702 + b7990 + b8135 + b8524 + b8724 + b8768 = 1;

e681:    b885 + b1097 + b1308 + b1495 + b2582 + b2729 + b3108 + b3242 + b4249
       + b4845 + b4878 + b5492 + b5505 + b5595 + b5820 + b6391 + b6998 + b7058
       + b7622 + b7702 + b7990 + b8011 + b8135 + b8524 = 1;

e682:    b78 + b203 + b212 + b381 + b453 + b853 + b885 + b1097 + b1297 + b1308
       + b1314 + b1494 + b1495 + b2484 + b2498 + b2529 + b2582 + b2694 + b2729
       + b2748 + b2988 + b3108 + b3184 + b3754 + b4080 + b4249 + b4580 + b4664
       + b4729 + b4813 + b4845 + b4850 + b4878 + b5316 + b5492 + b5505 + b5699
       + b5704 + b5820 + b5930 + b5941 + b6055 + b6318 + b6391 + b6867 + b6911
       + b6998 + b7058 + b7109 + b7181 + b7622 + b7645 + b7702 + b8011 + b8122
       = 1;

e683:    b575 + b885 + b935 + b1308 + b1314 + b1396 + b1495 + b1848 + b1905
       + b2582 + b2988 + b3108 + b3277 + b3754 + b3764 + b3825 + b4111 + b4729
       + b4850 + b5332 + b5505 + b5820 + b6391 + b7248 + b7622 + b8011 + b8290
       + b8519 + b8638 = 1;

e684:    b25 + b143 + b336 + b446 + b575 + b703 + b753 + b802 + b831 + b833
       + b885 + b891 + b935 + b1045 + b1049 + b1232 + b1291 + b1441 + b1495
       + b1844 + b1847 + b1848 + b2241 + b2405 + b2486 + b2619 + b2813 + b2828
       + b2829 + b2833 + b2988 + b3030 + b3108 + b3139 + b3242 + b3277 + b3333
       + b3400 + b3709 + b3726 + b3825 + b3851 + b3926 + b4111 + b4263 + b4269
       + b4294 + b4301 + b4349 + b4446 + b4729 + b4753 + b4795 + b4850 + b5035
       + b5226 + b5332 + b5452 + b5627 + b5636 + b5740 + b5860 + b5916 + b5975
       + b6391 + b6524 + b6560 + b6607 + b6979 + b7072 + b7073 + b7142 + b7219
       + b7248 + b7275 + b7311 + b7323 + b7447 + b7456 + b7630 + b7661 + b7748
       + b7955 + b8045 + b8290 + b8541 + b8638 + b8682 + b8800 + b8901 = 1;

e685:    b25 + b143 + b336 + b446 + b575 + b703 + b753 + b802 + b831 + b833
       + b885 + b891 + b935 + b1045 + b1049 + b1232 + b1291 + b1441 + b1495
       + b1844 + b1847 + b1848 + b2241 + b2405 + b2486 + b2619 + b2813 + b2828
       + b2829 + b2833 + b2988 + b3030 + b3108 + b3139 + b3242 + b3277 + b3333
       + b3400 + b3709 + b3726 + b3825 + b3851 + b3926 + b4111 + b4263 + b4269
       + b4294 + b4301 + b4349 + b4446 + b4729 + b4753 + b4795 + b4850 + b5035
       + b5226 + b5332 + b5452 + b5627 + b5636 + b5740 + b5860 + b5916 + b5975
       + b6391 + b6524 + b6560 + b6607 + b6979 + b7072 + b7073 + b7142 + b7219
       + b7248 + b7275 + b7311 + b7323 + b7447 + b7456 + b7630 + b7661 + b7748
       + b7955 + b8045 + b8290 + b8541 + b8638 + b8682 + b8800 + b8901 = 1;

e686:    b119 + b221 + b232 + b294 + b304 + b403 + b654 + b825 + b943 + b990
       + b1053 + b1106 + b1160 + b1171 + b1280 + b1463 + b1545 + b1566 + b1592
       + b1681 + b1727 + b1780 + b1813 + b1964 + b2071 + b2116 + b2381 + b2415
       + b2442 + b2447 + b2516 + b2593 + b2628 + b2651 + b2936 + b3037 + b3103
       + b3231 + b3247 + b3291 + b3385 + b3429 + b3549 + b3601 + b3775 + b3835
       + b3907 + b3993 + b4023 + b4028 + b4089 + b4116 + b4145 + b4147 + b4367
       + b4380 + b4389 + b4595 + b4669 + b4705 + b4766 + b4802 + b5128 + b5233
       + b5414 + b5493 + b5686 + b5689 + b5747 + b5818 + b5880 + b5967 + b5987
       + b5988 + b6031 + b6144 + b6208 + b6235 + b6489 + b6673 + b6697 + b6802
       + b6931 + b6932 + b7023 + b7029 + b7061 + b7175 + b7317 + b7385 + b7433
       + b7651 + b7668 + b7697 + b7787 + b7829 + b7989 + b8089 + b8143 + b8246
       + b8300 + b8343 + b8357 + b8380 + b8399 + b8419 + b8494 + b8512 + b8545
       + b8550 + b8637 + b8872 + b8881 = 1;

e687:    b119 + b221 + b232 + b294 + b304 + b403 + b654 + b825 + b943 + b990
       + b1053 + b1106 + b1160 + b1171 + b1280 + b1463 + b1545 + b1566 + b1592
       + b1681 + b1727 + b1780 + b1813 + b1964 + b2071 + b2116 + b2381 + b2383
       + b2415 + b2442 + b2447 + b2516 + b2593 + b2628 + b2651 + b2936 + b3037
       + b3103 + b3247 + b3291 + b3385 + b3429 + b3549 + b3601 + b3775 + b3835
       + b3907 + b3993 + b4023 + b4028 + b4089 + b4116 + b4145 + b4147 + b4367
       + b4380 + b4389 + b4595 + b4669 + b4705 + b4766 + b4802 + b5128 + b5233
       + b5414 + b5493 + b5686 + b5689 + b5747 + b5818 + b5880 + b5967 + b5987
       + b5988 + b6031 + b6144 + b6208 + b6235 + b6489 + b6673 + b6697 + b6801
       + b6931 + b6932 + b7023 + b7029 + b7061 + b7175 + b7385 + b7433 + b7651
       + b7668 + b7697 + b7787 + b7829 + b7989 + b8089 + b8143 + b8246 + b8300
       + b8357 + b8380 + b8399 + b8419 + b8494 + b8512 + b8545 + b8550 + b8637
       + b8872 = 1;

e688:    b127 + b174 + b221 + b232 + b403 + b761 + b780 + b825 + b943 + b982
       + b990 + b1033 + b1160 + b1171 + b1280 + b1566 + b1592 + b1681 + b1964
       + b2116 + b2367 + b2381 + b2383 + b2408 + b2415 + b2442 + b2447 + b2497
       + b2516 + b2628 + b2755 + b3037 + b3335 + b3429 + b3963 + b3988 + b4028
       + b4147 + b4228 + b4367 + b4389 + b4669 + b4766 + b4802 + b5233 + b5414
       + b5466 + b5686 + b5689 + b5967 + b5988 + b6031 + b6415 + b6673 + b6701
       + b6801 + b6814 + b6932 + b7358 + b7433 + b7651 + b7765 + b7787 + b7829
       + b7989 + b8246 + b8337 + b8545 + b8637 + b8872 = 1;

e689:    b174 + b403 + b761 + b862 + b990 + b1033 + b1160 + b1171 + b1280
       + b1286 + b1592 + b1964 + b2080 + b2116 + b2367 + b2381 + b2415 + b2442
       + b2447 + b2476 + b2628 + b2733 + b3429 + b3963 + b3988 + b4028 + b4147
       + b4228 + b4354 + b4367 + b4389 + b4802 + b5022 + b5324 + b5414 + b5686
       + b5689 + b5889 + b5987 + b5988 + b6031 + b6178 + b6415 + b6518 + b6673
       + b6701 + b6814 + b7651 + b7765 + b7787 + b7829 + b8132 + b8337 + b8545
       + b8637 + b8687 + b8730 = 1;

e690:    b18 + b174 + b232 + b236 + b512 + b524 + b693 + b711 + b761 + b950
       + b989 + b1005 + b1015 + b1033 + b1054 + b1100 + b1106 + b1263 + b1280
       + b1385 + b1420 + b1433 + b1524 + b1580 + b1889 + b1964 + b2214 + b2215
       + b2260 + b2528 + b2650 + b2752 + b2820 + b2896 + b3247 + b3377 + b3490
       + b3515 + b3538 + b3569 + b3706 + b3750 + b3785 + b3824 + b4578 + b4593
       + b4637 + b4724 + b4766 + b4769 + b4784 + b5000 + b5022 + b5237 + b5408
       + b5427 + b5686 + b5689 + b5765 + b5796 + b5805 + b5861 + b5909 + b5988
       + b6174 + b6312 + b6366 + b6539 + b6714 + b6791 + b6802 + b7038 + b7044
       + b7096 + b7317 + b7328 + b7393 + b7469 + b7621 + b7631 + b7803 + b7829
       + b7838 + b7901 + b8056 + b8066 + b8081 + b8430 + b8523 + b8637 + b8687
       + b8834 + b8881 = 1;

e691:    b18 + b174 + b232 + b236 + b512 + b524 + b693 + b711 + b761 + b989
       + b1005 + b1015 + b1033 + b1054 + b1100 + b1106 + b1131 + b1263 + b1420
       + b1433 + b1463 + b1524 + b1580 + b1889 + b2071 + b2181 + b2214 + b2215
       + b2260 + b2528 + b2650 + b2651 + b2752 + b2820 + b2896 + b3247 + b3403
       + b3465 + b3490 + b3515 + b3549 + b3569 + b3706 + b3750 + b3785 + b3824
       + b4109 + b4391 + b4392 + b4578 + b4593 + b4637 + b4724 + b4766 + b4769
       + b4784 + b5000 + b5022 + b5237 + b5427 + b5689 + b5765 + b5796 + b5805
       + b5861 + b5880 + b5909 + b5919 + b5988 + b6174 + b6312 + b6366 + b6539
       + b6714 + b6791 + b6802 + b7038 + b7044 + b7061 + b7096 + b7175 + b7317
       + b7328 + b7393 + b7469 + b7621 + b7631 + b7803 + b7807 + b7838 + b7901
       + b7958 + b8034 + b8066 + b8081 + b8143 + b8430 + b8494 + b8523 + b8637
       + b8687 + b8747 + b8834 + b8881 = 1;

e692:    b33 + b206 + b225 + b240 + b253 + b284 + b419 + b447 + b481 + b499
       + b502 + b575 + b638 + b698 + b768 + b772 + b849 + b888 + b959 + b1335
       + b1387 + b1584 + b1781 + b1810 + b1831 + b1886 + b1894 + b1907 + b2002
       + b2005 + b2227 + b2269 + b2282 + b2340 + b2523 + b2530 + b2590 + b2623
       + b2653 + b2713 + b2828 + b3071 + b3149 + b3166 + b3171 + b3202 + b3225
       + b3249 + b3273 + b3447 + b3605 + b3704 + b3758 + b3797 + b3823 + b3896
       + b4077 + b4136 + b4140 + b4172 + b4176 + b4259 + b4346 + b4381 + b4479
       + b4482 + b4497 + b4524 + b4536 + b4545 + b4753 + b4754 + b4765 + b4819
       + b4847 + b4874 + b4885 + b4924 + b5119 + b5179 + b5235 + b5255 + b5277
       + b5396 + b5397 + b5463 + b5471 + b5608 + b5651 + b5657 + b5750 + b5787
       + b5994 + b6023 + b6030 + b6242 + b6307 + b6337 + b6356 + b6359 + b6450
       + b6605 + b6689 + b6730 + b6891 + b6986 + b7007 + b7066 + b7068 + b7119
       + b7147 + b7219 + b7371 + b7422 + b7453 + b7467 + b7501 + b7511 + b7623
       + b7628 + b7635 + b7738 + b8005 + b8046 + b8111 + b8162 + b8203 + b8210
       + b8230 + b8328 + b8358 + b8412 + b8456 + b8473 + b8491 + b8518 + b8520
       + b8605 + b8616 + b8742 + b8758 + b8762 + b8799 + b8849 = 1;

e693:    b206 + b225 + b240 + b253 + b284 + b419 + b447 + b481 + b499 + b502
       + b575 + b638 + b698 + b768 + b772 + b888 + b1335 + b1387 + b1584
       + b1781 + b1810 + b1831 + b1886 + b1894 + b1907 + b2002 + b2005 + b2227
       + b2269 + b2282 + b2523 + b2530 + b2590 + b2623 + b2653 + b2713 + b2828
       + b3149 + b3171 + b3202 + b3225 + b3249 + b3273 + b3447 + b3590 + b3605
       + b3704 + b3758 + b3823 + b3896 + b4077 + b4136 + b4140 + b4172 + b4176
       + b4259 + b4346 + b4381 + b4479 + b4482 + b4497 + b4524 + b4545 + b4753
       + b4754 + b4765 + b4819 + b4847 + b4874 + b4885 + b4924 + b5119 + b5179
       + b5235 + b5277 + b5396 + b5397 + b5463 + b5471 + b5608 + b5651 + b5657
       + b5750 + b5787 + b5994 + b6023 + b6242 + b6307 + b6337 + b6356 + b6359
       + b6450 + b6605 + b6689 + b6891 + b6986 + b7007 + b7066 + b7068 + b7119
       + b7147 + b7219 + b7371 + b7422 + b7453 + b7467 + b7501 + b7628 + b7635
       + b7738 + b8005 + b8046 + b8111 + b8162 + b8203 + b8210 + b8230 + b8328
       + b8358 + b8412 + b8456 + b8473 + b8491 + b8518 + b8520 + b8605 + b8616
       + b8742 + b8758 + b8762 + b8799 + b8849 = 1;

e694:    b225 + b240 + b253 + b418 + b447 + b499 + b502 + b575 + b638 + b799
       + b927 + b963 + b1584 + b1585 + b1586 + b1810 + b2002 + b2118 + b2177
       + b2193 + b2227 + b2235 + b2240 + b2247 + b2422 + b2523 + b2537 + b2539
       + b2575 + b2590 + b2600 + b2653 + b2713 + b2828 + b3225 + b3249 + b3447
       + b3758 + b3780 + b3823 + b3896 + b4077 + b4172 + b4381 + b4416 + b4431
       + b4524 + b4721 + b4753 + b4754 + b4765 + b4807 + b4819 + b4842 + b4847
       + b4924 + b5146 + b5396 + b5409 + b5471 + b5750 + b5994 + b6023 + b6241
       + b6242 + b6450 + b6559 + b6605 + b6689 + b6904 + b6921 + b7066 + b7147
       + b7219 + b7356 + b7422 + b7500 + b7501 + b7635 + b7738 + b8111 + b8162
       + b8203 + b8210 + b8230 + b8328 + b8412 + b8473 + b8849 + b8864 = 1;

e695:    b212 + b225 + b240 + b253 + b415 + b418 + b447 + b499 + b502 + b638
       + b799 + b927 + b963 + b1584 + b1585 + b1586 + b1588 + b1643 + b1810
       + b2002 + b2118 + b2177 + b2193 + b2227 + b2235 + b2240 + b2247 + b2311
       + b2422 + b2484 + b2523 + b2529 + b2537 + b2539 + b2575 + b2590 + b2600
       + b2653 + b2713 + b2828 + b2952 + b3018 + b3028 + b3225 + b3249 + b3447
       + b3758 + b3780 + b3823 + b3896 + b4077 + b4172 + b4381 + b4431 + b4721
       + b4753 + b4754 + b4765 + b4807 + b4842 + b4847 + b4858 + b4924 + b5146
       + b5229 + b5396 + b5409 + b5471 + b5750 + b5994 + b6023 + b6241 + b6242
       + b6261 + b6296 + b6348 + b6450 + b6559 + b6568 + b6605 + b6689 + b6904
       + b6921 + b7066 + b7147 + b7219 + b7356 + b7422 + b7451 + b7500 + b7501
       + b7635 + b7702 + b7738 + b8111 + b8162 + b8203 + b8210 + b8211 + b8224
       + b8230 + b8328 + b8412 + b8473 + b8507 + b8849 + b8864 = 1;

e696:    b46 + b212 + b418 + b447 + b502 + b638 + b772 + b815 + b880 + b961
       + b963 + b1541 + b1586 + b1787 + b2002 + b2193 + b2300 + b2328 + b2452
       + b2575 + b2590 + b2600 + b2653 + b2828 + b2952 + b3018 + b3158 + b3249
       + b3250 + b3447 + b3544 + b3758 + b3823 + b3921 + b4077 + b4381 + b4491
       + b4754 + b4765 + b4807 + b4842 + b4847 + b4924 + b5146 + b5229 + b5368
       + b5471 + b5750 + b5811 + b6165 + b6241 + b6242 + b6307 + b6447 + b6450
       + b6473 + b6605 + b6689 + b6734 + b6904 + b7066 + b7147 + b7356 + b7422
       + b7467 + b7473 + b7500 + b7635 + b7738 + b7971 + b8085 + b8106 + b8111
       + b8162 + b8203 + b8245 + b8328 + b8412 + b8453 + b8473 = 1;

e697:    b46 + b212 + b418 + b447 + b502 + b638 + b772 + b815 + b880 + b961
       + b963 + b1541 + b1586 + b1787 + b2002 + b2193 + b2300 + b2328 + b2452
       + b2575 + b2590 + b2600 + b2653 + b2828 + b2952 + b3018 + b3158 + b3249
       + b3250 + b3447 + b3544 + b3758 + b3823 + b3921 + b4077 + b4381 + b4491
       + b4754 + b4765 + b4807 + b4842 + b4847 + b4924 + b5146 + b5229 + b5368
       + b5471 + b5750 + b5811 + b6165 + b6241 + b6242 + b6307 + b6447 + b6450
       + b6473 + b6605 + b6689 + b6734 + b6904 + b7066 + b7147 + b7356 + b7422
       + b7467 + b7473 + b7500 + b7635 + b7738 + b7971 + b8085 + b8106 + b8111
       + b8162 + b8203 + b8245 + b8328 + b8412 + b8453 + b8473 = 1;

e698:    b426 + b816 + b963 + b1541 + b1586 + b1678 + b1696 + b1824 + b1831
       + b1915 + b1940 + b2002 + b2300 + b2369 + b2999 + b3247 + b3249 + b3257
       + b3291 + b3334 + b3544 + b3580 + b3605 + b3681 + b3704 + b3879 + b3921
       + b3968 + b3984 + b4176 + b4252 + b4287 + b4641 + b4924 + b5009 + b5214
       + b5471 + b5811 + b6023 + b6121 + b6147 + b6165 + b6307 + b6379 + b6447
       + b6450 + b6473 + b6670 + b6986 + b7147 + b7422 + b7668 + b7697 + b7718
       + b7738 + b8005 + b8106 + b8203 + b8358 + b8391 + b8531 + b8742 = 1;

e699:    b18 + b963 + b977 + b1075 + b1101 + b1541 + b1586 + b1824 + b1831
       + b1886 + b1915 + b1940 + b2002 + b2369 + b3247 + b3257 + b3272 + b3291
       + b3334 + b3681 + b3704 + b3758 + b3823 + b3968 + b3984 + b4176 + b4252
       + b4287 + b4641 + b5009 + b5214 + b5463 + b5811 + b6023 + b6147 + b6158
       + b6165 + b6307 + b6379 + b6447 + b6450 + b6473 + b6670 + b6689 + b6986
       + b7422 + b7668 + b7697 + b7718 + b7738 + b8106 + b8203 + b8358 + b8531
       + b8742 = 1;

e700:    b46 + b206 + b225 + b372 + b764 + b772 + b811 + b888 + b1824 + b1831
       + b1940 + b1964 + b1987 + b2002 + b2009 + b2304 + b2367 + b2638 + b2801
       + b3071 + b3257 + b3334 + b3704 + b3780 + b3823 + b3984 + b4252 + b4350
       + b4496 + b4626 + b4837 + b4841 + b5119 + b5179 + b5229 + b5674 + b5994
       + b6023 + b6261 + b6307 + b6327 + b6379 + b6415 + b6601 + b6657 + b6658
       + b6673 + b7066 + b7500 + b7697 + b7718 + b7739 + b7897 + b7973 + b8106
       + b8358 + b8518 = 1;

e701:    b46 + b206 + b225 + b372 + b764 + b772 + b811 + b888 + b1824 + b1831
       + b1940 + b1964 + b1987 + b2002 + b2009 + b2304 + b2367 + b2638 + b2801
       + b3071 + b3257 + b3334 + b3704 + b3780 + b3823 + b3984 + b4252 + b4350
       + b4496 + b4626 + b4837 + b4841 + b5119 + b5179 + b5229 + b5674 + b5994
       + b6023 + b6261 + b6307 + b6327 + b6379 + b6415 + b6601 + b6657 + b6658
       + b6673 + b7066 + b7500 + b7697 + b7718 + b7739 + b7897 + b7973 + b8106
       + b8358 + b8518 = 1;

e702:    b9 + b59 + b70 + b112 + b158 + b216 + b241 + b255 + b483 + b513 + b523
       + b529 + b593 + b608 + b646 + b933 + b945 + b1037 + b1329 + b1332
       + b1336 + b1408 + b1417 + b1447 + b1502 + b1689 + b1718 + b1720 + b1748
       + b1757 + b1778 + b1808 + b2136 + b2156 + b2192 + b2259 + b2336 + b2378
       + b2399 + b2412 + b2416 + b2487 + b2527 + b2566 + b2662 + b2663 + b2672
       + b2801 + b2802 + b3357 + b3380 + b3409 + b3543 + b3589 + b3627 + b3663
       + b3714 + b3743 + b3814 + b3816 + b3906 + b3937 + b3952 + b3978 + b4004
       + b4011 + b4022 + b4166 + b4198 + b4258 + b4315 + b4387 + b4410 + b4452
       + b4527 + b4589 + b4611 + b4619 + b4665 + b4668 + b4746 + b5044 + b5072
       + b5108 + b5509 + b5530 + b5778 + b5840 + b6149 + b6166 + b6178 + b6180
       + b6188 + b6197 + b6219 + b6380 + b6386 + b6479 + b6537 + b6681 + b6797
       + b6868 + b6922 + b7070 + b7078 + b7107 + b7143 + b7144 + b7197 + b7259
       + b7269 + b7378 + b7412 + b7413 + b7594 + b7608 + b7745 + b7823 + b7834
       + b7920 + b7939 + b7989 + b8008 + b8025 + b8038 + b8255 + b8282 + b8354
       + b8372 + b8396 + b8410 + b8425 + b8469 + b8499 + b8530 + b8602 + b8624
       + b8663 + b8671 + b8787 + b8826 + b8872 = 1;

e703:    b9 + b59 + b70 + b112 + b158 + b179 + b207 + b216 + b241 + b255 + b483
       + b513 + b523 + b593 + b608 + b646 + b933 + b945 + b1037 + b1329 + b1332
       + b1336 + b1408 + b1417 + b1447 + b1502 + b1689 + b1718 + b1720 + b1748
       + b1757 + b1778 + b1808 + b2156 + b2259 + b2336 + b2378 + b2399 + b2412
       + b2416 + b2487 + b2527 + b2566 + b2662 + b2663 + b2672 + b2801 + b2802
       + b3357 + b3380 + b3409 + b3543 + b3589 + b3627 + b3663 + b3714 + b3814
       + b3816 + b3906 + b3937 + b3952 + b3978 + b4004 + b4011 + b4022 + b4166
       + b4198 + b4258 + b4315 + b4410 + b4452 + b4527 + b4589 + b4611 + b4619
       + b4665 + b4746 + b5044 + b5072 + b5108 + b5509 + b5530 + b5750 + b5778
       + b5840 + b6149 + b6166 + b6178 + b6180 + b6188 + b6197 + b6219 + b6386
       + b6479 + b6537 + b6797 + b6868 + b6922 + b7070 + b7078 + b7107 + b7143
       + b7144 + b7197 + b7259 + b7269 + b7378 + b7412 + b7413 + b7594 + b7608
       + b7745 + b7823 + b7834 + b7920 + b7939 + b7989 + b8008 + b8025 + b8038
       + b8255 + b8282 + b8354 + b8372 + b8396 + b8410 + b8425 + b8469 + b8499
       + b8530 + b8624 + b8671 + b8787 + b8826 + b8872 = 1;

e704:    b112 + b152 + b167 + b179 + b433 + b483 + b593 + b945 + b1023 + b1037
       + b1332 + b1380 + b1399 + b1417 + b1447 + b1502 + b1778 + b1808 + b1829
       + b2098 + b2259 + b2327 + b2336 + b2378 + b2386 + b2399 + b2403 + b2649
       + b2663 + b2801 + b3038 + b3113 + b3351 + b3543 + b3573 + b3627 + b3692
       + b3714 + b3743 + b3937 + b3978 + b4011 + b4166 + b4258 + b4312 + b4452
       + b4508 + b4527 + b4589 + b4596 + b4668 + b4698 + b5072 + b5442 + b5530
       + b6178 + b6180 + b6188 + b6212 + b6519 + b6537 + b6725 + b6797 + b6845
       + b6856 + b6943 + b7107 + b7143 + b7197 + b7259 + b7269 + b7413 + b7594
       + b7608 + b7745 + b7920 + b8008 + b8025 + b8027 + b8359 + b8376 + b8425
       + b8469 + b8488 + b8499 + b8655 + b8826 = 1;

e705:    b28 + b112 + b152 + b158 + b167 + b179 + b593 + b700 + b1023 + b1037
       + b1094 + b1255 + b1417 + b1502 + b1808 + b1829 + b2093 + b2098 + b2336
       + b2399 + b2487 + b2649 + b2663 + b2672 + b2801 + b2984 + b3038 + b3113
       + b3146 + b3156 + b3220 + b3458 + b3543 + b3573 + b3574 + b3692 + b3714
       + b3743 + b3937 + b4258 + b4410 + b4452 + b4508 + b4665 + b4668 + b4698
       + b4746 + b4991 + b5049 + b5072 + b5196 + b5366 + b5442 + b5444 + b5521
       + b6178 + b6180 + b6188 + b6212 + b6479 + b6506 + b6519 + b6725 + b6797
       + b6845 + b6856 + b6868 + b6922 + b6943 + b7107 + b7143 + b7144 + b7259
       + b7269 + b7291 + b7413 + b7425 + b7608 + b7745 + b7920 + b8027 + b8376
       + b8425 + b8469 + b8488 + b8499 + b8655 + b8671 + b8826 = 1;

e706:    b107 + b112 + b608 + b1108 + b1109 + b1329 + b1689 + b1757 + b1808
       + b1829 + b2069 + b2098 + b2156 + b2190 + b2259 + b2317 + b2469 + b2487
       + b2566 + b3113 + b3146 + b3220 + b3235 + b3351 + b3357 + b3380 + b3409
       + b3543 + b3573 + b3663 + b3692 + b3743 + b3816 + b3937 + b3989 + b4011
       + b4250 + b4258 + b4410 + b4427 + b4508 + b4665 + b4668 + b4746 + b5108
       + b5366 + b5376 + b5444 + b5521 + b5778 + b5896 + b6148 + b6178 + b6188
       + b6211 + b6443 + b6512 + b6519 + b6549 + b6626 + b6633 + b6797 + b6868
       + b7144 + b7413 + b7425 + b7553 + b7745 + b7823 + b7920 + b7939 + b8038
       + b8123 + b8344 + b8376 + b8384 + b8396 + b8400 + b8469 + b8499 + b8608
       + b8655 + b8663 + b8755 + b8811 + b8826 = 1;

e707:    b107 + b112 + b608 + b1108 + b1109 + b1329 + b1689 + b1757 + b1808
       + b1829 + b2069 + b2098 + b2156 + b2190 + b2259 + b2317 + b2469 + b2487
       + b2566 + b3113 + b3146 + b3220 + b3235 + b3351 + b3357 + b3380 + b3409
       + b3543 + b3573 + b3663 + b3692 + b3743 + b3816 + b3937 + b3989 + b4011
       + b4250 + b4258 + b4410 + b4427 + b4508 + b4665 + b4668 + b4746 + b5108
       + b5366 + b5376 + b5444 + b5521 + b5778 + b5896 + b6148 + b6178 + b6188
       + b6211 + b6443 + b6512 + b6519 + b6549 + b6626 + b6633 + b6797 + b6868
       + b7144 + b7413 + b7425 + b7745 + b7823 + b7920 + b7939 + b8038 + b8123
       + b8344 + b8376 + b8384 + b8396 + b8400 + b8469 + b8499 + b8608 + b8655
       + b8663 + b8755 + b8811 + b8826 = 1;

e708:    b27 + b112 + b124 + b128 + b159 + b161 + b267 + b271 + b346 + b529
       + b558 + b574 + b586 + b593 + b603 + b613 + b667 + b756 + b861 + b986
       + b1012 + b1091 + b1117 + b1202 + b1240 + b1255 + b1356 + b1373 + b1421
       + b1576 + b1577 + b1583 + b1630 + b1703 + b1713 + b1718 + b1746 + b1757
       + b1766 + b1773 + b1797 + b1823 + b1829 + b1872 + b1989 + b2093 + b2127
       + b2192 + b2246 + b2259 + b2268 + b2293 + b2295 + b2303 + b2469 + b2500
       + b2515 + b2517 + b2527 + b2566 + b2637 + b2662 + b2671 + b2672 + b2782
       + b2818 + b2983 + b3091 + b3101 + b3113 + b3187 + b3227 + b3275 + b3321
       + b3351 + b3357 + b3380 + b3410 + b3432 + b3438 + b3458 + b3496 + b3602
       + b3643 + b3743 + b3798 + b3816 + b3906 + b3931 + b3958 + b3964 + b3978
       + b4011 + b4027 + b4029 + b4166 + b4180 + b4258 + b4427 + b4619 + b4660
       + b4741 + b4746 + b4759 + b4991 + b5008 + b5015 + b5072 + b5080 + b5140
       + b5195 + b5343 + b5366 + b5376 + b5437 + b5444 + b5521 + b5530 + b5606
       + b5609 + b5618 + b5641 + b5714 + b5896 + b5948 + b6040 + b6082 + b6101
       + b6133 + b6148 + b6149 + b6168 + b6207 + b6215 + b6219 + b6250 + b6362
       + b6386 + b6479 + b6506 + b6519 + b6567 + b6626 + b6664 + b6667 + b6868
       + b6944 + b6963 + b7062 + b7078 + b7156 + b7217 + b7276 + b7290 + b7329
       + b7378 + b7384 + b7416 + b7434 + b7485 + b7576 + b7591 + b7594 + b7602
       + b7605 + b7745 + b7755 + b7756 + b7758 + b7762 + b7836 + b7853 + b7880
       + b7939 + b7968 + b8038 + b8123 + b8282 + b8295 + b8298 + b8338 + b8354
       + b8384 + b8436 + b8602 + b8655 + b8663 + b8755 + b8811 = 1;

e709:    b27 + b112 + b124 + b128 + b159 + b161 + b267 + b271 + b346 + b529
       + b558 + b574 + b586 + b593 + b603 + b613 + b667 + b756 + b861 + b986
       + b1012 + b1091 + b1117 + b1202 + b1240 + b1255 + b1356 + b1373 + b1421
       + b1576 + b1577 + b1583 + b1630 + b1703 + b1713 + b1718 + b1746 + b1757
       + b1766 + b1773 + b1797 + b1823 + b1829 + b1872 + b1989 + b2093 + b2127
       + b2192 + b2246 + b2259 + b2268 + b2293 + b2295 + b2303 + b2469 + b2500
       + b2515 + b2517 + b2527 + b2566 + b2637 + b2662 + b2671 + b2672 + b2782
       + b2818 + b2983 + b3091 + b3101 + b3113 + b3187 + b3227 + b3275 + b3321
       + b3351 + b3357 + b3380 + b3410 + b3432 + b3438 + b3458 + b3496 + b3602
       + b3643 + b3743 + b3798 + b3816 + b3906 + b3931 + b3958 + b3964 + b3978
       + b4011 + b4027 + b4029 + b4166 + b4180 + b4258 + b4427 + b4619 + b4660
       + b4741 + b4746 + b4759 + b4991 + b5008 + b5015 + b5072 + b5080 + b5140
       + b5195 + b5343 + b5366 + b5376 + b5437 + b5444 + b5521 + b5530 + b5606
       + b5609 + b5618 + b5641 + b5714 + b5896 + b5948 + b6040 + b6082 + b6101
       + b6133 + b6148 + b6149 + b6168 + b6207 + b6215 + b6219 + b6250 + b6362
       + b6386 + b6479 + b6506 + b6519 + b6567 + b6626 + b6664 + b6667 + b6868
       + b6944 + b6963 + b7062 + b7078 + b7156 + b7217 + b7276 + b7290 + b7329
       + b7378 + b7384 + b7416 + b7434 + b7485 + b7576 + b7591 + b7594 + b7602
       + b7605 + b7745 + b7755 + b7756 + b7758 + b7762 + b7836 + b7853 + b7880
       + b7939 + b7968 + b8038 + b8123 + b8282 + b8295 + b8298 + b8338 + b8354
       + b8384 + b8436 + b8602 + b8655 + b8663 + b8755 + b8811 = 1;

e710:    b93 + b144 + b152 + b167 + b255 + b406 + b628 + b646 + b697 + b771
       + b893 + b901 + b933 + b943 + b1022 + b1023 + b1108 + b1233 + b1380
       + b1399 + b1415 + b1447 + b1511 + b1525 + b1573 + b1592 + b1683 + b1764
       + b1778 + b2009 + b2145 + b2294 + b2327 + b2348 + b2372 + b2378 + b2386
       + b2403 + b2428 + b2668 + b2770 + b2818 + b2902 + b2966 + b3006 + b3007
       + b3065 + b3111 + b3146 + b3148 + b3220 + b3243 + b3351 + b3442 + b3527
       + b3559 + b3573 + b3689 + b3692 + b3750 + b3860 + b3955 + b3957 + b3990
       + b4313 + b4333 + b4343 + b4567 + b4595 + b4596 + b4634 + b4639 + b4698
       + b4868 + b5049 + b5237 + b5301 + b5318 + b5331 + b5366 + b5442 + b5444
       + b5455 + b5460 + b5507 + b5530 + b5697 + b5752 + b5768 + b5822 + b5896
       + b5912 + b5936 + b6001 + b6060 + b6126 + b6157 + b6163 + b6169 + b6181
       + b6211 + b6212 + b6313 + b6360 + b6419 + b6519 + b6612 + b6716 + b6735
       + b6754 + b6759 + b6791 + b6839 + b6845 + b7000 + b7074 + b7155 + b7203
       + b7217 + b7291 + b7421 + b7454 + b7507 + b7529 + b7594 + b7595 + b7742
       + b7870 + b8001 + b8008 + b8027 + b8078 + b8102 + b8123 + b8139 + b8246
       + b8344 + b8359 + b8376 + b8384 + b8400 + b8502 + b8655 + b8752 + b8833
       = 1;

e711:    b93 + b144 + b152 + b167 + b255 + b406 + b628 + b646 + b771 + b893
       + b901 + b933 + b943 + b1022 + b1023 + b1108 + b1233 + b1380 + b1399
       + b1415 + b1447 + b1511 + b1525 + b1573 + b1592 + b1683 + b1764 + b1778
       + b2009 + b2145 + b2294 + b2327 + b2348 + b2372 + b2378 + b2386 + b2403
       + b2428 + b2668 + b2770 + b2818 + b2902 + b2966 + b3006 + b3007 + b3065
       + b3111 + b3146 + b3148 + b3220 + b3243 + b3351 + b3442 + b3527 + b3559
       + b3573 + b3689 + b3692 + b3727 + b3750 + b3860 + b3955 + b3957 + b3990
       + b4313 + b4333 + b4343 + b4567 + b4595 + b4596 + b4634 + b4639 + b4698
       + b4868 + b5049 + b5237 + b5301 + b5318 + b5331 + b5366 + b5442 + b5444
       + b5455 + b5460 + b5507 + b5530 + b5697 + b5752 + b5768 + b5822 + b5896
       + b5912 + b5936 + b6001 + b6060 + b6126 + b6157 + b6163 + b6181 + b6211
       + b6212 + b6313 + b6360 + b6519 + b6716 + b6735 + b6754 + b6759 + b6791
       + b6839 + b6845 + b7000 + b7074 + b7155 + b7203 + b7217 + b7291 + b7454
       + b7507 + b7529 + b7594 + b7595 + b7742 + b7870 + b8001 + b8008 + b8027
       + b8078 + b8102 + b8123 + b8139 + b8246 + b8344 + b8359 + b8376 + b8384
       + b8400 + b8502 + b8655 + b8752 = 1;

e712:    b55 + b176 + b275 + b513 + b523 + b615 + b711 + b901 + b933 + b1022
       + b1415 + b1525 + b1720 + b1748 + b1757 + b2009 + b2145 + b2361 + b2770
       + b2820 + b2902 + b2966 + b3006 + b3527 + b3689 + b3706 + b3750 + b4333
       + b4343 + b4567 + b4719 + b5237 + b5331 + b5455 + b5690 + b5696 + b5697
       + b5799 + b5881 + b5912 + b6126 + b6157 + b6163 + b6166 + b6197 + b6211
       + b6360 + b6554 + b6754 + b6759 + b6873 + b7074 + b7155 + b7167 + b7203
       + b7345 + b7372 + b7507 + b7595 + b7951 + b8008 + b8058 + b8102 + b8384
       + b8396 + b8502 + b8845 = 1;

e713:    b55 + b66 + b112 + b176 + b513 + b523 + b615 + b616 + b632 + b647
       + b711 + b790 + b933 + b1022 + b1380 + b1415 + b1525 + b1720 + b1748
       + b1757 + b1797 + b2009 + b2070 + b2092 + b2172 + b2259 + b2361 + b2685
       + b2695 + b2770 + b2820 + b2870 + b2902 + b2966 + b3006 + b3220 + b3689
       + b3692 + b3706 + b3750 + b3860 + b3918 + b4031 + b4267 + b4286 + b4384
       + b4445 + b4490 + b4567 + b4589 + b4665 + b4853 + b4899 + b5081 + b5237
       + b5331 + b5444 + b5455 + b5600 + b5601 + b5697 + b5778 + b5799 + b5881
       + b5912 + b6163 + b6166 + b6211 + b6360 + b6754 + b6759 + b6764 + b6797
       + b6868 + b6873 + b7074 + b7155 + b7167 + b7203 + b7306 + b7327 + b7345
       + b7372 + b7507 + b7553 + b7835 + b7951 + b8008 + b8038 + b8058 + b8102
       + b8123 + b8369 + b8384 + b8396 + b8400 + b8436 + b8502 + b8655 = 1;

e714:    b55 + b93 + b513 + b615 + b771 + b933 + b988 + b1037 + b1040 + b1224
       + b1245 + b1332 + b1380 + b1399 + b1525 + b1732 + b1971 + b2722 + b2820
       + b2966 + b3006 + b3022 + b3294 + b3319 + b3442 + b3574 + b3589 + b3714
       + b3778 + b3916 + b4445 + b4490 + b4567 + b4589 + b4698 + b4887 + b5045
       + b5060 + b5172 + b5318 + b5331 + b5600 + b5638 + b5690 + b5696 + b5768
       + b6066 + b6163 + b6181 + b6212 + b6360 + b6450 + b6537 + b6716 + b6839
       + b6873 + b7082 + b7132 + b7155 + b7233 + b7273 + b7372 + b8008 + b8027
       + b8359 + b8410 + b8425 + b8436 + b8671 = 1;

e715:    b55 + b93 + b513 + b615 + b771 + b933 + b1037 + b1040 + b1224 + b1245
       + b1332 + b1380 + b1399 + b1525 + b1732 + b1971 + b2722 + b2820 + b2966
       + b3006 + b3022 + b3294 + b3442 + b3574 + b3589 + b3714 + b3778 + b3916
       + b4445 + b4490 + b4567 + b4589 + b4698 + b4887 + b5045 + b5172 + b5318
       + b5331 + b5600 + b5638 + b5690 + b5696 + b5768 + b6066 + b6163 + b6181
       + b6212 + b6360 + b6450 + b6537 + b6716 + b6839 + b6873 + b7082 + b7132
       + b7155 + b7233 + b7273 + b7372 + b8008 + b8027 + b8359 + b8410 + b8425
       + b8436 + b8671 = 1;

e716:    b3 + b45 + b49 + b103 + b124 + b165 + b178 + b181 + b235 + b367 + b386
       + b445 + b653 + b688 + b719 + b762 + b763 + b882 + b903 + b975 + b980
       + b989 + b1005 + b1038 + b1149 + b1318 + b1424 + b1603 + b1611 + b1629
       + b1709 + b1743 + b1829 + b2080 + b2163 + b2253 + b2274 + b2287 + b2298
       + b2304 + b2310 + b2467 + b2522 + b2622 + b2708 + b2830 + b2884 + b2923
       + b2932 + b2950 + b2966 + b3032 + b3114 + b3134 + b3140 + b3157 + b3165
       + b3224 + b3313 + b3365 + b3516 + b3558 + b3570 + b3595 + b3614 + b3649
       + b3691 + b3762 + b3854 + b4005 + b4015 + b4017 + b4102 + b4110 + b4191
       + b4354 + b4454 + b4504 + b4519 + b4526 + b4640 + b4642 + b4669 + b4713
       + b4800 + b4826 + b4926 + b5022 + b5123 + b5183 + b5220 + b5221 + b5254
       + b5350 + b5387 + b5391 + b5427 + b5538 + b5555 + b5571 + b5738 + b5774
       + b5827 + b5837 + b5869 + b5900 + b5977 + b5978 + b6003 + b6058 + b6083
       + b6202 + b6204 + b6258 + b6282 + b6295 + b6492 + b6505 + b6514 + b6516
       + b6518 + b6671 + b6722 + b6731 + b6738 + b6739 + b6873 + b6947 + b7040
       + b7050 + b7063 + b7065 + b7249 + b7358 + b7375 + b7376 + b7442 + b7454
       + b7484 + b7576 + b7626 + b7633 + b7761 + b7809 + b8014 + b8028 + b8090
       + b8223 + b8293 + b8329 + b8388 + b8394 + b8395 + b8517 + b8527 + b8687
       + b8730 + b8801 + b8836 + b8859 = 1;

e717:    b3 + b33 + b45 + b49 + b52 + b61 + b103 + b124 + b163 + b165 + b178
       + b181 + b235 + b366 + b367 + b377 + b386 + b445 + b653 + b688 + b719
       + b762 + b773 + b782 + b882 + b903 + b975 + b980 + b989 + b1005 + b1038
       + b1136 + b1149 + b1170 + b1318 + b1424 + b1455 + b1462 + b1582 + b1603
       + b1611 + b1629 + b1642 + b1709 + b1743 + b1829 + b1830 + b2035 + b2080
       + b2163 + b2253 + b2274 + b2287 + b2298 + b2304 + b2310 + b2332 + b2467
       + b2522 + b2622 + b2634 + b2666 + b2708 + b2775 + b2830 + b2884 + b2923
       + b2932 + b2950 + b2966 + b3000 + b3032 + b3114 + b3140 + b3157 + b3165
       + b3224 + b3313 + b3365 + b3516 + b3558 + b3570 + b3595 + b3614 + b3649
       + b3690 + b3691 + b3751 + b3762 + b3777 + b3854 + b4005 + b4015 + b4017
       + b4102 + b4110 + b4191 + b4322 + b4354 + b4443 + b4454 + b4504 + b4513
       + b4519 + b4526 + b4536 + b4621 + b4640 + b4642 + b4669 + b4696 + b4713
       + b4800 + b4826 + b4836 + b4926 + b5022 + b5123 + b5183 + b5220 + b5221
       + b5254 + b5344 + b5350 + b5363 + b5391 + b5427 + b5538 + b5555 + b5562
       + b5571 + b5738 + b5774 + b5793 + b5827 + b5837 + b5849 + b5869 + b5894
       + b5900 + b5956 + b5977 + b5978 + b6003 + b6058 + b6083 + b6202 + b6204
       + b6258 + b6259 + b6282 + b6295 + b6492 + b6505 + b6514 + b6516 + b6518
       + b6671 + b6722 + b6730 + b6731 + b6738 + b6739 + b6855 + b6873 + b6946
       + b6947 + b7040 + b7048 + b7050 + b7064 + b7065 + b7216 + b7249 + b7280
       + b7335 + b7358 + b7375 + b7376 + b7442 + b7454 + b7484 + b7488 + b7576
       + b7603 + b7618 + b7626 + b7809 + b8013 + b8014 + b8028 + b8043 + b8059
       + b8083 + b8090 + b8223 + b8293 + b8329 + b8388 + b8394 + b8395 + b8517
       + b8527 + b8687 + b8730 + b8801 + b8836 + b8859 = 1;

e718:    b3 + b33 + b103 + b123 + b235 + b367 + b377 + b634 + b653 + b709
       + b712 + b719 + b762 + b882 + b975 + b980 + b989 + b1005 + b1149 + b1170
       + b1182 + b1341 + b1435 + b1442 + b1454 + b1551 + b1561 + b1611 + b1743
       + b1791 + b1837 + b2056 + b2143 + b2153 + b2163 + b2253 + b2310 + b2467
       + b2509 + b2576 + b2632 + b2634 + b2666 + b2885 + b2896 + b2932 + b2969
       + b3048 + b3065 + b3140 + b3165 + b3224 + b3343 + b3365 + b3558 + b3570
       + b3595 + b3614 + b3644 + b3688 + b3691 + b3790 + b3854 + b4015 + b4017
       + b4322 + b4454 + b4504 + b4519 + b4614 + b4642 + b4800 + b4809 + b4926
       + b5123 + b5192 + b5220 + b5221 + b5254 + b5350 + b5391 + b5427 + b5429
       + b5462 + b5538 + b5555 + b5562 + b5571 + b5900 + b5958 + b6083 + b6202
       + b6204 + b6257 + b6282 + b6505 + b6514 + b6516 + b6562 + b6730 + b6798
       + b6946 + b7050 + b7064 + b7249 + b7263 + b7376 + b7396 + b7411 + b7442
       + b7529 + b7576 + b7626 + b7768 + b8014 + b8090 + b8215 + b8394 + b8727
       = 1;

e719:    b33 + b103 + b123 + b235 + b367 + b377 + b653 + b688 + b709 + b712
       + b719 + b762 + b884 + b975 + b980 + b989 + b1005 + b1086 + b1111
       + b1149 + b1170 + b1182 + b1341 + b1406 + b1424 + b1435 + b1454 + b1499
       + b1551 + b1561 + b1743 + b1791 + b1837 + b1855 + b2055 + b2056 + b2141
       + b2143 + b2153 + b2163 + b2196 + b2234 + b2253 + b2287 + b2310 + b2467
       + b2509 + b2632 + b2634 + b2885 + b2896 + b2912 + b2924 + b2932 + b2969
       + b2972 + b3044 + b3065 + b3140 + b3224 + b3343 + b3365 + b3558 + b3570
       + b3595 + b3614 + b3644 + b3688 + b3790 + b4015 + b4017 + b4274 + b4322
       + b4362 + b4454 + b4465 + b4504 + b4519 + b4614 + b4809 + b4926 + b5123
       + b5144 + b5192 + b5220 + b5221 + b5254 + b5338 + b5350 + b5427 + b5462
       + b5516 + b5538 + b5539 + b5555 + b5562 + b5578 + b5774 + b5837 + b5870
       + b5900 + b6047 + b6202 + b6204 + b6257 + b6294 + b6474 + b6511 + b6514
       + b6516 + b6553 + b6562 + b6606 + b6730 + b6798 + b6946 + b6961 + b7249
       + b7263 + b7353 + b7376 + b7396 + b7411 + b7442 + b7529 + b7576 + b7626
       + b7768 + b8014 + b8033 + b8090 + b8091 + b8394 + b8553 + b8724 + b8727
       + b8768 = 1;

e720:    b33 + b103 + b221 + b386 + b478 + b598 + b642 + b653 + b710 + b712
       + b752 + b780 + b862 + b882 + b903 + b980 + b990 + b1086 + b1111 + b1406
       + b1435 + b1580 + b1581 + b1629 + b1709 + b1791 + b1876 + b1956 + b2046
       + b2056 + b2080 + b2143 + b2253 + b2297 + b2497 + b2516 + b2564 + b2576
       + b2610 + b2632 + b2959 + b2969 + b2981 + b3004 + b3065 + b3079 + b3114
       + b3137 + b3203 + b3224 + b3326 + b3343 + b3448 + b3570 + b3614 + b3668
       + b3693 + b3854 + b3954 + b4168 + b4215 + b4274 + b4302 + b4362 + b4397
       + b4443 + b4465 + b4485 + b4510 + b4514 + b4526 + b4600 + b4639 + b4809
       + b4926 + b4936 + b5000 + b5144 + b5192 + b5221 + b5258 + b5324 + b5350
       + b5414 + b5429 + b5448 + b5539 + b5555 + b5774 + b5827 + b5872 + b5895
       + b5958 + b5967 + b6058 + b6140 + b6257 + b6474 + b6518 + b6553 + b6622
       + b6651 + b6709 + b6730 + b6806 + b6993 + b7040 + b7057 + b7249 + b7263
       + b7287 + b7315 + b7376 + b7396 + b7411 + b7450 + b7476 + b7529 + b7576
       + b7620 + b7621 + b7626 + b7760 + b7764 + b7765 + b7768 + b8014 + b8028
       + b8063 + b8090 + b8091 + b8132 + b8215 + b8329 + b8345 + b8388 + b8418
       + b8509 + b8730 + b8780 + b8801 + b8851 + b8867 = 1;

e721:    b33 + b103 + b221 + b386 + b478 + b598 + b642 + b653 + b710 + b712
       + b752 + b780 + b862 + b882 + b903 + b990 + b1086 + b1111 + b1406
       + b1435 + b1580 + b1581 + b1629 + b1709 + b1791 + b1876 + b1956 + b2046
       + b2056 + b2080 + b2143 + b2253 + b2297 + b2497 + b2516 + b2564 + b2576
       + b2610 + b2632 + b2959 + b2969 + b2981 + b3004 + b3065 + b3079 + b3114
       + b3137 + b3203 + b3224 + b3326 + b3343 + b3570 + b3614 + b3668 + b3693
       + b3854 + b3954 + b4168 + b4215 + b4274 + b4302 + b4362 + b4397 + b4443
       + b4465 + b4485 + b4510 + b4514 + b4526 + b4600 + b4639 + b4809 + b4926
       + b4936 + b5000 + b5144 + b5192 + b5221 + b5258 + b5324 + b5414 + b5429
       + b5448 + b5539 + b5555 + b5774 + b5827 + b5872 + b5895 + b5958 + b5967
       + b6058 + b6140 + b6257 + b6474 + b6518 + b6553 + b6622 + b6651 + b6709
       + b6730 + b6806 + b6993 + b7040 + b7057 + b7249 + b7263 + b7287 + b7315
       + b7376 + b7396 + b7411 + b7450 + b7476 + b7529 + b7620 + b7621 + b7760
       + b7764 + b7765 + b7768 + b8014 + b8028 + b8063 + b8090 + b8091 + b8132
       + b8215 + b8329 + b8345 + b8388 + b8418 + b8509 + b8730 + b8780 + b8801
       + b8851 + b8867 = 1;

e722:    b33 + b103 + b221 + b386 + b407 + b478 + b598 + b603 + b642 + b653
       + b710 + b712 + b752 + b780 + b862 + b869 + b882 + b903 + b980 + b990
       + b1086 + b1111 + b1373 + b1406 + b1432 + b1435 + b1580 + b1581 + b1629
       + b1709 + b1791 + b1876 + b2046 + b2056 + b2080 + b2143 + b2178 + b2253
       + b2297 + b2497 + b2516 + b2564 + b2576 + b2610 + b2632 + b2690 + b2782
       + b2959 + b2969 + b3004 + b3065 + b3079 + b3114 + b3137 + b3203 + b3224
       + b3326 + b3343 + b3448 + b3570 + b3614 + b3668 + b3693 + b3854 + b3954
       + b4168 + b4274 + b4302 + b4362 + b4397 + b4443 + b4465 + b4485 + b4510
       + b4514 + b4526 + b4600 + b4639 + b4809 + b4926 + b4936 + b4957 + b5000
       + b5144 + b5192 + b5221 + b5258 + b5324 + b5350 + b5414 + b5429 + b5448
       + b5539 + b5555 + b5774 + b5827 + b5872 + b5895 + b5958 + b5967 + b6058
       + b6140 + b6257 + b6474 + b6518 + b6553 + b6622 + b6651 + b6709 + b6730
       + b6806 + b6993 + b7040 + b7057 + b7249 + b7263 + b7287 + b7315 + b7376
       + b7396 + b7411 + b7450 + b7474 + b7476 + b7529 + b7531 + b7620 + b7621
       + b7626 + b7760 + b7764 + b7765 + b7768 + b8014 + b8028 + b8063 + b8090
       + b8091 + b8132 + b8215 + b8329 + b8345 + b8388 + b8418 + b8509 + b8730
       + b8780 + b8801 + b8823 + b8851 + b8867 = 1;

e723:    b33 + b75 + b103 + b386 + b665 + b721 + b727 + b862 + b869 + b870
       + b882 + b884 + b885 + b975 + b1025 + b1097 + b1138 + b1149 + b1182
       + b1194 + b1308 + b1375 + b1413 + b1424 + b1426 + b1435 + b1442 + b1495
       + b1581 + b1609 + b1629 + b1661 + b1709 + b1791 + b2045 + b2046 + b2056
       + b2080 + b2090 + b2099 + b2153 + b2159 + b2224 + b2297 + b2516 + b2522
       + b2532 + b2576 + b2610 + b2632 + b2816 + b2896 + b2969 + b3065 + b3083
       + b3108 + b3114 + b3117 + b3165 + b3369 + b3587 + b3633 + b3644 + b3668
       + b3688 + b3713 + b3831 + b3954 + b4017 + b4302 + b4472 + b4487 + b4600
       + b4639 + b4815 + b4845 + b4878 + b4888 + b5123 + b5144 + b5192 + b5258
       + b5338 + b5357 + b5388 + b5414 + b5429 + b5448 + b5492 + b5539 + b5571
       + b5645 + b5771 + b5827 + b5850 + b5872 + b5890 + b5895 + b5910 + b5924
       + b5958 + b6201 + b6282 + b6284 + b6328 + b6365 + b6460 + b6474 + b6505
       + b6553 + b6562 + b6651 + b6671 + b6709 + b6947 + b6960 + b6961 + b6993
       + b6998 + b7057 + b7315 + b7365 + b7396 + b7442 + b7474 + b7574 + b7583
       + b7626 + b7781 + b7786 + b7970 + b8011 + b8014 + b8057 + b8063 + b8091
       + b8100 + b8132 + b8213 + b8345 + b8388 + b8443 + b8486 + b8509 + b8867
       = 1;

e724:    b33 + b75 + b103 + b386 + b721 + b862 + b869 + b882 + b975 + b1025
       + b1149 + b1182 + b1413 + b1435 + b1442 + b1581 + b1611 + b1629 + b1661
       + b1709 + b1791 + b2046 + b2056 + b2080 + b2099 + b2153 + b2224 + b2297
       + b2516 + b2576 + b2610 + b2632 + b2816 + b2896 + b2969 + b3048 + b3065
       + b3083 + b3114 + b3165 + b3587 + b3633 + b3644 + b3668 + b3688 + b3831
       + b3954 + b4017 + b4302 + b4487 + b4600 + b4639 + b4642 + b4888 + b5123
       + b5192 + b5258 + b5388 + b5391 + b5414 + b5429 + b5448 + b5539 + b5571
       + b5645 + b5771 + b5827 + b5872 + b5890 + b5895 + b5924 + b5958 + b6083
       + b6201 + b6282 + b6365 + b6474 + b6505 + b6553 + b6562 + b6651 + b6709
       + b6993 + b7057 + b7315 + b7396 + b7442 + b7474 + b7583 + b7626 + b7970
       + b8014 + b8057 + b8063 + b8100 + b8132 + b8215 + b8345 + b8388 + b8443
       + b8509 + b8867 = 1;

e725:    b46 + b322 + b329 + b613 + b627 + b764 + b799 + b815 + b816 + b987
       + b1040 + b1067 + b1068 + b1075 + b1129 + b1221 + b1391 + b1501 + b1636
       + b1666 + b1705 + b1726 + b1823 + b1888 + b1915 + b1931 + b1971 + b2040
       + b2115 + b2118 + b2175 + b2177 + b2193 + b2240 + b2247 + b2300 + b2363
       + b2433 + b2505 + b2549 + b2558 + b2603 + b2632 + b2933 + b3011 + b3029
       + b3070 + b3074 + b3082 + b3113 + b3126 + b3175 + b3266 + b3294 + b3297
       + b3684 + b3703 + b3723 + b3773 + b3780 + b3792 + b3892 + b3911 + b3916
       + b3972 + b3979 + b3997 + b4340 + b4416 + b4431 + b4478 + b4566 + b4621
       + b4750 + b5031 + b5203 + b5204 + b5344 + b5515 + b5616 + b5730 + b5862
       + b5946 + b6053 + b6094 + b6250 + b6257 + b6331 + b6349 + b6379 + b6508
       + b6734 + b6899 + b6912 + b7010 + b7356 + b7357 + b7475 + b7500 + b7524
       + b7603 + b7618 + b7684 + b7980 + b7983 + b8076 + b8131 + b8177 + b8185
       + b8193 + b8240 + b8253 + b8467 + b8531 + b8554 + b8765 + b8794 + b8824
       = 1;

e726:    b46 + b280 + b322 + b329 + b613 + b627 + b764 + b799 + b815 + b816
       + b817 + b987 + b1067 + b1068 + b1075 + b1129 + b1159 + b1666 + b1705
       + b1823 + b1915 + b1931 + b1971 + b2040 + b2115 + b2118 + b2177 + b2193
       + b2240 + b2247 + b2300 + b2363 + b2433 + b2505 + b2558 + b2603 + b2933
       + b3011 + b3070 + b3082 + b3126 + b3175 + b3297 + b3684 + b3703 + b3723
       + b3780 + b3792 + b3892 + b3916 + b3979 + b4340 + b4416 + b4431 + b4503
       + b4566 + b4621 + b4750 + b4861 + b5203 + b5344 + b5515 + b5730 + b5862
       + b5946 + b6053 + b6379 + b6734 + b7010 + b7356 + b7475 + b7500 + b7603
       + b7618 + b7780 + b7983 + b8076 + b8131 + b8177 + b8193 + b8240 + b8253
       + b8467 + b8531 + b8765 = 1;

e727:    b46 + b163 + b322 + b329 + b551 + b613 + b764 + b772 + b815 + b816
       + b987 + b1120 + b1129 + b1159 + b1823 + b1831 + b1894 + b1907 + b1931
       + b2115 + b2300 + b2363 + b2414 + b2433 + b2558 + b2603 + b2623 + b2933
       + b2934 + b3011 + b3070 + b3080 + b3096 + b3175 + b3297 + b3340 + b3489
       + b3703 + b3725 + b3789 + b3792 + b3841 + b3916 + b3979 + b4136 + b4566
       + b4621 + b4861 + b4994 + b5203 + b5238 + b5344 + b5487 + b5549 + b5730
       + b5815 + b5862 + b5883 + b5946 + b5974 + b6307 + b6337 + b6356 + b6384
       + b6476 + b6734 + b6757 + b6855 + b7010 + b7467 + b7475 + b7603 + b7616
       + b7618 + b7769 + b7780 + b8059 + b8177 + b8193 + b8518 + b8765 + b8873
       = 1;

e728:    b46 + b322 + b329 + b551 + b613 + b764 + b772 + b815 + b816 + b1120
       + b1129 + b1159 + b1823 + b1831 + b1894 + b1907 + b1931 + b2115 + b2300
       + b2363 + b2414 + b2433 + b2558 + b2603 + b2623 + b2933 + b2934 + b3011
       + b3070 + b3080 + b3096 + b3175 + b3297 + b3340 + b3489 + b3703 + b3725
       + b3792 + b3841 + b3916 + b3979 + b4136 + b4566 + b4861 + b4990 + b4994
       + b5177 + b5203 + b5238 + b5487 + b5549 + b5730 + b5815 + b5862 + b5883
       + b5946 + b5974 + b6307 + b6337 + b6356 + b6384 + b6476 + b6734 + b6757
       + b7010 + b7467 + b7475 + b7616 + b7769 + b7780 + b8177 + b8193 + b8518
       + b8765 + b8873 = 1;

e729:    b188 + b322 + b329 + b613 + b764 + b799 + b816 + b856 + b1019 + b1120
       + b1123 + b1129 + b1221 + b1237 + b1534 + b1823 + b1831 + b2115 + b2233
       + b2247 + b2414 + b2433 + b2458 + b2558 + b2603 + b2934 + b3028 + b3080
       + b3096 + b3297 + b3495 + b3703 + b3725 + b3780 + b3792 + b3841 + b3896
       + b3916 + b3979 + b4552 + b4566 + b4636 + b4861 + b5238 + b5309 + b5487
       + b5549 + b5626 + b5631 + b5677 + b5815 + b5883 + b5974 + b5994 + b6023
       + b6261 + b6356 + b6757 + b6837 + b7010 + b7150 + b7225 + b7451 + b7601
       + b8177 + b8193 + b8275 + b8518 + b8765 = 1;

e730:    b188 + b322 + b329 + b613 + b764 + b799 + b816 + b856 + b1019 + b1120
       + b1123 + b1129 + b1221 + b1237 + b1534 + b1823 + b1831 + b2115 + b2233
       + b2247 + b2414 + b2433 + b2458 + b2558 + b2603 + b2934 + b3028 + b3080
       + b3096 + b3297 + b3495 + b3703 + b3725 + b3780 + b3792 + b3841 + b3896
       + b3916 + b3979 + b4552 + b4566 + b4636 + b4861 + b5238 + b5309 + b5487
       + b5549 + b5626 + b5631 + b5677 + b5815 + b5883 + b5974 + b5994 + b6023
       + b6261 + b6356 + b6757 + b6837 + b7010 + b7150 + b7225 + b7451 + b7601
       + b8177 + b8193 + b8275 + b8518 + b8765 = 1;

e731:    b19 + b46 + b289 + b322 + b329 + b450 + b764 + b772 + b791 + b799
       + b856 + b898 + b1129 + b1221 + b1270 + b1610 + b1823 + b1867 + b2233
       + b2414 + b2603 + b2934 + b2963 + b3018 + b3080 + b3096 + b3780 + b3878
       + b3896 + b3916 + b3979 + b4128 + b4566 + b4736 + b4837 + b4847 + b4906
       + b5229 + b5309 + b5484 + b5496 + b5626 + b5677 + b5994 + b6035 + b6066
       + b6092 + b6258 + b6261 + b6327 + b6331 + b6356 + b6377 + b6544 + b6548
       + b6657 + b6658 + b6734 + b6762 + b6939 + b7066 + b7075 + b7117 + b7150
       + b7356 + b7451 + b7467 + b7473 + b7500 + b8177 + b8275 + b8518 + b8552
       + b8765 + b8900 = 1;

e732:    b19 + b46 + b289 + b322 + b329 + b450 + b713 + b764 + b772 + b791
       + b799 + b856 + b898 + b1040 + b1221 + b1270 + b1610 + b1823 + b1867
       + b1971 + b2233 + b2272 + b2414 + b2603 + b2664 + b2722 + b2934 + b2963
       + b3018 + b3080 + b3096 + b3780 + b3878 + b3896 + b3916 + b3979 + b4128
       + b4210 + b4566 + b4736 + b4837 + b4847 + b4906 + b4952 + b5177 + b5229
       + b5309 + b5484 + b5496 + b5626 + b5670 + b5677 + b5994 + b6035 + b6066
       + b6092 + b6258 + b6261 + b6327 + b6331 + b6355 + b6356 + b6377 + b6410
       + b6548 + b6657 + b6658 + b6734 + b6762 + b6939 + b7066 + b7075 + b7117
       + b7131 + b7132 + b7150 + b7202 + b7356 + b7391 + b7451 + b7467 + b7473
       + b7500 + b7617 + b7684 + b8079 + b8177 + b8275 + b8518 + b8552 + b8765
       + b8900 = 1;

e733:    b19 + b46 + b289 + b322 + b329 + b450 + b627 + b713 + b764 + b772
       + b777 + b791 + b799 + b856 + b898 + b987 + b1040 + b1172 + b1221
       + b1245 + b1269 + b1270 + b1450 + b1610 + b1733 + b1823 + b1863 + b1867
       + b1907 + b1971 + b2068 + b2233 + b2414 + b2603 + b2664 + b2673 + b2722
       + b2934 + b2963 + b2965 + b3018 + b3080 + b3096 + b3294 + b3356 + b3780
       + b3878 + b3896 + b3916 + b3979 + b4060 + b4067 + b4128 + b4172 + b4210
       + b4340 + b4413 + b4566 + b4736 + b4837 + b4847 + b4887 + b4906 + b4952
       + b5177 + b5229 + b5309 + b5484 + b5496 + b5626 + b5677 + b5994 + b6035
       + b6066 + b6092 + b6258 + b6261 + b6327 + b6331 + b6355 + b6356 + b6377
       + b6410 + b6548 + b6657 + b6658 + b6734 + b6757 + b6762 + b6939 + b7066
       + b7075 + b7117 + b7132 + b7150 + b7356 + b7391 + b7451 + b7467 + b7473
       + b7500 + b7617 + b7684 + b8079 + b8177 + b8275 + b8518 + b8552 + b8765
       + b8900 = 1;

e734:    b56 + b89 + b117 + b168 + b207 + b256 + b374 + b416 + b420 + b433
       + b562 + b584 + b625 + b626 + b719 + b739 + b742 + b804 + b831 + b834
       + b1000 + b1012 + b1056 + b1063 + b1114 + b1328 + b1436 + b1619 + b1729
       + b1948 + b2046 + b2098 + b2139 + b2156 + b2204 + b2208 + b2404 + b2421
       + b2469 + b2481 + b2573 + b2580 + b2609 + b2642 + b2709 + b2830 + b2924
       + b2939 + b2941 + b3045 + b3242 + b3265 + b3321 + b3345 + b3346 + b3351
       + b3354 + b3395 + b3483 + b3542 + b3562 + b3584 + b3585 + b3634 + b3678
       + b3862 + b3949 + b3989 + b4002 + b4011 + b4020 + b4114 + b4312 + b4349
       + b4405 + b4419 + b4447 + b4452 + b4570 + b4582 + b4628 + b4656 + b4660
       + b4711 + b4741 + b4767 + b4794 + b4814 + b4911 + b4918 + b4949 + b5165
       + b5220 + b5286 + b5386 + b5452 + b5467 + b5804 + b5824 + b5868 + b5913
       + b6148 + b6319 + b6405 + b6512 + b6619 + b6627 + b6710 + b6944 + b7031
       + b7032 + b7043 + b7263 + b7271 + b7506 + b7513 + b7632 + b7747 + b8084
       + b8151 + b8180 + b8279 + b8286 + b8361 + b8434 + b8437 + b8537 + b8563
       + b8585 + b8608 + b8697 + b8719 + b8727 + b8787 + b8805 + b8811 + b8840
       + b8859 + b8870 = 1;

e735:    b56 + b89 + b117 + b207 + b256 + b374 + b416 + b420 + b433 + b447
       + b562 + b584 + b625 + b626 + b719 + b739 + b742 + b804 + b831 + b834
       + b1000 + b1012 + b1056 + b1063 + b1114 + b1619 + b1729 + b1948 + b2046
       + b2098 + b2139 + b2156 + b2190 + b2204 + b2208 + b2421 + b2469 + b2481
       + b2573 + b2580 + b2609 + b2642 + b2709 + b2830 + b2924 + b2939 + b2941
       + b3039 + b3045 + b3242 + b3265 + b3321 + b3351 + b3354 + b3395 + b3483
       + b3542 + b3562 + b3584 + b3585 + b3634 + b3678 + b3862 + b3871 + b3949
       + b3989 + b4002 + b4011 + b4020 + b4114 + b4312 + b4349 + b4405 + b4419
       + b4447 + b4452 + b4570 + b4628 + b4656 + b4660 + b4711 + b4741 + b4767
       + b4794 + b4814 + b4911 + b4918 + b4949 + b5165 + b5220 + b5286 + b5386
       + b5452 + b5467 + b5804 + b5824 + b5868 + b6148 + b6319 + b6443 + b6512
       + b6619 + b6633 + b6710 + b6944 + b7031 + b7032 + b7043 + b7263 + b7271
       + b7506 + b7513 + b7587 + b7632 + b7747 + b8151 + b8279 + b8286 + b8434
       + b8437 + b8463 + b8537 + b8563 + b8585 + b8608 + b8636 + b8697 + b8719
       + b8727 + b8787 + b8805 + b8811 + b8840 + b8859 + b8870 = 1;

e736:    b32 + b89 + b194 + b409 + b742 + b2088 + b2421 + b3321 + b3716 + b3941
       + b4048 + b4628 + b4711 + b4804 + b6299 + b7043 + b8719 = 1;

e737:    b32 + b89 + b194 + b409 + b742 + b2088 + b3321 + b3941 + b4048 + b4711
       + b4804 + b6299 + b7043 + b7751 + b8719 = 1;

e738:    b89 + b94 + b194 + b409 + b742 + b1708 + b2088 + b2219 + b3321 + b3941
       + b4048 + b4804 + b4904 + b6299 + b7043 + b7751 + b8431 + b8832 = 1;

e739:    b89 + b94 + b194 + b409 + b742 + b1708 + b2088 + b2219 + b3321 + b3941
       + b4048 + b4420 + b4804 + b4904 + b6299 + b6564 + b6634 + b7043 + b7751
       + b8431 + b8832 = 1;

e740:    b32 + b89 + b94 + b194 + b219 + b243 + b409 + b508 + b704 + b742
       + b797 + b931 + b1012 + b1102 + b1475 + b1493 + b1609 + b1722 + b1728
       + b1761 + b1771 + b1775 + b1786 + b1792 + b2004 + b2058 + b2081 + b2088
       + b2165 + b2219 + b2485 + b2490 + b2656 + b2768 + b2903 + b2957 + b3005
       + b3031 + b3052 + b3172 + b3184 + b3321 + b3404 + b3482 + b3578 + b3646
       + b3656 + b3660 + b3712 + b3941 + b4048 + b4076 + b4085 + b4095 + b4211
       + b4235 + b4268 + b4323 + b4404 + b4420 + b4488 + b4671 + b4738 + b4804
       + b4904 + b5139 + b5155 + b5243 + b5254 + b5449 + b5465 + b5523 + b5564
       + b5772 + b5792 + b5814 + b5836 + b5871 + b5878 + b6070 + b6186 + b6299
       + b6462 + b6477 + b6564 + b6634 + b6648 + b6713 + b7043 + b7092 + b7170
       + b7187 + b7368 + b7386 + b7442 + b7632 + b7751 + b7821 + b8052 + b8062
       + b8180 + b8237 + b8341 + b8574 + b8614 + b8685 + b8697 + b8719 + b8720
       + b8784 + b8811 + b8857 + b8879 + b8888 + b8899 = 1;

e741:    b32 + b89 + b94 + b194 + b219 + b243 + b409 + b508 + b609 + b704
       + b742 + b797 + b931 + b976 + b1012 + b1069 + b1475 + b1493 + b1609
       + b1722 + b1728 + b1761 + b1771 + b1775 + b1786 + b1792 + b1983 + b1997
       + b2004 + b2058 + b2081 + b2088 + b2165 + b2219 + b2485 + b2490 + b2656
       + b2768 + b2836 + b2903 + b2957 + b2962 + b3005 + b3031 + b3052 + b3172
       + b3184 + b3321 + b3404 + b3482 + b3578 + b3646 + b3656 + b3660 + b3712
       + b3941 + b4048 + b4076 + b4085 + b4095 + b4211 + b4235 + b4268 + b4323
       + b4404 + b4420 + b4488 + b4671 + b4738 + b4804 + b4904 + b5139 + b5155
       + b5243 + b5254 + b5449 + b5465 + b5523 + b5564 + b5772 + b5792 + b5814
       + b5836 + b5871 + b5878 + b6070 + b6093 + b6186 + b6299 + b6462 + b6477
       + b6564 + b6634 + b6648 + b6713 + b6859 + b7043 + b7092 + b7170 + b7187
       + b7368 + b7386 + b7442 + b7632 + b7751 + b8052 + b8062 + b8180 + b8237
       + b8341 + b8496 + b8574 + b8614 + b8685 + b8697 + b8719 + b8720 + b8784
       + b8811 + b8857 + b8879 + b8888 + b8899 = 1;

e742:    b53 + b75 + b99 + b200 + b259 + b269 + b280 + b289 + b383 + b389
       + b399 + b430 + b460 + b507 + b558 + b599 + b655 + b678 + b695 + b712
       + b761 + b780 + b791 + b803 + b862 + b898 + b1062 + b1082 + b1213
       + b1245 + b1365 + b1400 + b1402 + b1485 + b1514 + b1588 + b1600 + b1670
       + b1696 + b1762 + b1822 + b1824 + b1826 + b1842 + b1844 + b1872 + b1884
       + b2053 + b2086 + b2295 + b2311 + b2402 + b2423 + b2497 + b2508 + b2514
       + b2567 + b2586 + b2645 + b2664 + b2687 + b2701 + b2722 + b2813 + b2960
       + b2969 + b3018 + b3032 + b3042 + b3097 + b3137 + b3151 + b3217 + b3261
       + b3285 + b3315 + b3443 + b3569 + b3591 + b3628 + b3696 + b3737 + b3742
       + b3752 + b3786 + b3795 + b3796 + b3878 + b3879 + b3981 + b3984 + b3994
       + b4046 + b4128 + b4217 + b4238 + b4532 + b4540 + b4630 + b4663 + b4723
       + b4735 + b4736 + b4747 + b4770 + b4817 + b4823 + b4870 + b4887 + b4890
       + b4894 + b4952 + b5035 + b5094 + b5125 + b5161 + b5188 + b5201 + b5222
       + b5229 + b5244 + b5299 + b5324 + b5393 + b5484 + b5496 + b5514 + b5592
       + b5822 + b5846 + b5860 + b5861 + b5932 + b5957 + b6033 + b6034 + b6066
       + b6073 + b6092 + b6120 + b6174 + b6244 + b6245 + b6248 + b6261 + b6296
       + b6327 + b6348 + b6465 + b6548 + b6568 + b6577 + b6657 + b6763 + b6829
       + b6853 + b6862 + b6864 + b6876 + b6897 + b6908 + b6925 + b6928 + b6939
       + b7038 + b7065 + b7106 + b7118 + b7132 + b7174 + b7188 + b7315 + b7358
       + b7373 + b7377 + b7395 + b7405 + b7451 + b7605 + b7758 + b7765 + b7842
       + b7845 + b8067 + b8092 + b8179 + b8184 + b8238 + b8247 + b8371 + b8391
       + b8507 + b8568 + b8778 = 1;

e743:    b53 + b75 + b99 + b200 + b259 + b269 + b280 + b289 + b321 + b383
       + b389 + b399 + b430 + b460 + b507 + b558 + b599 + b655 + b678 + b695
       + b712 + b761 + b780 + b791 + b803 + b862 + b898 + b1062 + b1082 + b1213
       + b1245 + b1365 + b1400 + b1402 + b1485 + b1514 + b1588 + b1600 + b1670
       + b1696 + b1762 + b1822 + b1824 + b1826 + b1842 + b1844 + b1872 + b1884
       + b2053 + b2086 + b2295 + b2311 + b2402 + b2423 + b2497 + b2508 + b2514
       + b2567 + b2586 + b2645 + b2664 + b2687 + b2701 + b2722 + b2960 + b2969
       + b3018 + b3032 + b3042 + b3097 + b3137 + b3151 + b3217 + b3261 + b3285
       + b3315 + b3443 + b3569 + b3591 + b3593 + b3628 + b3696 + b3737 + b3742
       + b3752 + b3786 + b3795 + b3796 + b3878 + b3879 + b3981 + b3984 + b3994
       + b4046 + b4128 + b4217 + b4238 + b4532 + b4540 + b4630 + b4663 + b4723
       + b4736 + b4747 + b4770 + b4785 + b4817 + b4823 + b4870 + b4887 + b4890
       + b4894 + b4952 + b5094 + b5125 + b5161 + b5188 + b5201 + b5222 + b5229
       + b5244 + b5297 + b5299 + b5324 + b5393 + b5484 + b5496 + b5514 + b5592
       + b5741 + b5822 + b5860 + b5861 + b5932 + b5957 + b6033 + b6034 + b6066
       + b6073 + b6092 + b6120 + b6174 + b6244 + b6245 + b6248 + b6261 + b6296
       + b6327 + b6348 + b6439 + b6465 + b6548 + b6568 + b6577 + b6657 + b6763
       + b6829 + b6862 + b6864 + b6876 + b6897 + b6925 + b6928 + b6939 + b7038
       + b7065 + b7106 + b7118 + b7132 + b7174 + b7188 + b7315 + b7358 + b7373
       + b7377 + b7395 + b7405 + b7451 + b7605 + b7758 + b7765 + b7842 + b7845
       + b8067 + b8092 + b8179 + b8184 + b8238 + b8247 + b8371 + b8391 + b8507
       + b8568 + b8778 = 1;

e744:    b415 + b1545 + b1588 + b1600 + b1826 + b1872 + b2022 + b2311 + b2362
       + b2567 + b2952 + b2960 + b3018 + b3028 + b3032 + b4770 + b4858 + b5094
       + b5216 + b5229 + b5592 + b5999 + b6033 + b6261 + b6296 + b6348 + b6498
       + b6568 + b7065 + b7188 + b7218 + b7358 + b7451 + b7605 + b8179 + b8211
       + b8507 + b8617 = 1;

e745:    b448 + b813 + b1283 + b1337 + b1381 + b1545 + b1600 + b1826 + b1872
       + b1936 + b2022 + b2362 + b2740 + b2778 + b2960 + b3032 + b3339 + b3650
       + b4204 + b4238 + b4281 + b4416 + b4524 + b4583 + b4770 + b4965 + b5094
       + b5216 + b5592 + b5702 + b5720 + b5754 + b5999 + b6033 + b6438 + b6498
       + b6679 + b7065 + b7188 + b7218 + b7358 + b7605 + b7991 + b8179 + b8539
       + b8617 + b8681 = 1;

e746:    b99 + b199 + b265 + b397 + b734 + b746 + b807 + b1109 + b1381 + b1485
       + b1545 + b1600 + b1813 + b1884 + b1936 + b2053 + b2593 + b2635 + b2657
       + b2926 + b2960 + b3034 + b3053 + b3106 + b3261 + b3301 + b3650 + b3775
       + b3795 + b3799 + b3981 + b4022 + b4047 + b4416 + b4524 + b4605 + b4675
       + b4723 + b4796 + b4857 + b5094 + b5137 + b5196 + b5201 + b5245 + b5592
       + b5957 + b5987 + b6235 + b6347 + b6463 + b6577 + b6668 + b6798 + b6876
       + b7023 + b7042 + b7188 + b7246 + b7525 + b7605 + b7667 + b7735 + b8067
       + b8373 + b8569 + b8681 = 1;

e747:    b99 + b199 + b265 + b397 + b734 + b746 + b807 + b1109 + b1381 + b1485
       + b1545 + b1600 + b1813 + b1884 + b1936 + b2053 + b2593 + b2635 + b2657
       + b2926 + b2960 + b3034 + b3053 + b3106 + b3261 + b3301 + b3650 + b3775
       + b3795 + b3799 + b3981 + b4022 + b4047 + b4416 + b4524 + b4605 + b4675
       + b4723 + b4796 + b4857 + b5094 + b5137 + b5196 + b5201 + b5245 + b5592
       + b5957 + b5987 + b6235 + b6347 + b6463 + b6577 + b6668 + b6798 + b6876
       + b7023 + b7042 + b7188 + b7246 + b7525 + b7605 + b7667 + b7735 + b8067
       + b8373 + b8569 + b8681 = 1;

e748:    b88 + b186 + b192 + b440 + b670 + b671 + b707 + b769 + b811 + b896
       + b1086 + b1253 + b1368 + b1391 + b1432 + b1636 + b1987 + b2024 + b2069
       + b2093 + b2143 + b2175 + b2301 + b2413 + b2444 + b2616 + b2671 + b2698
       + b2749 + b2753 + b2887 + b2929 + b3021 + b3187 + b3203 + b3266 + b3382
       + b3510 + b3730 + b3911 + b3920 + b3997 + b4025 + b4412 + b4486 + b4718
       + b4966 + b5411 + b5471 + b5509 + b5622 + b5629 + b5652 + b5674 + b5840
       + b6112 + b6506 + b6524 + b6549 + b7037 + b7100 + b7104 + b7317 + b7349
       + b7376 + b7396 + b7770 + b7856 + b7964 + b7980 + b8393 + b8412 + b8741
       + b8824 = 1;

e749:    b186 + b440 + b670 + b671 + b769 + b811 + b896 + b1086 + b1253 + b1368
       + b1391 + b1432 + b1636 + b2069 + b2093 + b2143 + b2175 + b2444 + b2616
       + b2671 + b2698 + b2749 + b2753 + b2887 + b2929 + b3021 + b3187 + b3203
       + b3266 + b3346 + b3382 + b3510 + b3730 + b3911 + b3920 + b3997 + b4486
       + b4718 + b4966 + b5411 + b5471 + b5509 + b5622 + b5629 + b5652 + b5674
       + b5840 + b6112 + b6506 + b6549 + b7037 + b7100 + b7104 + b7317 + b7349
       + b7376 + b7396 + b7770 + b7856 + b7964 + b7980 + b8393 + b8412 + b8741
       + b8824 = 1;

e750:    b671 + b811 + b896 + b983 + b1114 + b1368 + b1413 + b1432 + b1726
       + b2069 + b2093 + b2175 + b2616 + b2662 + b2663 + b2669 + b2672 + b2753
       + b2950 + b3021 + b3297 + b3346 + b3380 + b3409 + b3730 + b3920 + b3972
       + b3997 + b4328 + b4892 + b5044 + b5179 + b5360 + b5411 + b5509 + b5622
       + b5639 + b5652 + b5654 + b5674 + b5840 + b6265 + b6487 + b6506 + b6512
       + b6549 + b6617 + b7037 + b7070 + b7078 + b7104 + b7152 + b7375 + b7693
       + b7823 + b7834 + b7856 + b7964 + b7970 + b8741 = 1;

e751:    b922 + b1050 + b1114 + b1238 + b1313 + b1368 + b1413 + b1614 + b1816
       + b1986 + b2069 + b2093 + b2115 + b2157 + b2616 + b2662 + b2669 + b2672
       + b2753 + b2950 + b3297 + b3346 + b3380 + b3409 + b3730 + b3920 + b4581
       + b4615 + b4751 + b4892 + b4912 + b5360 + b5639 + b5834 + b6077 + b6265
       + b6488 + b6506 + b6512 + b6549 + b6617 + b6820 + b7070 + b7078 + b7104
       + b7152 + b7158 + b7375 + b7448 + b7823 + b7834 + b7856 + b7964 + b7970
       + b8582 + b8704 + b8754 = 1;

e752:    b593 + b999 + b1012 + b1088 + b1114 + b1148 + b1238 + b1262 + b1413
       + b1417 + b2093 + b2157 + b2369 + b2616 + b2662 + b2669 + b2672 + b2753
       + b2781 + b2802 + b2950 + b3021 + b3346 + b3416 + b3481 + b3483 + b3498
       + b3730 + b3906 + b3920 + b4028 + b4383 + b4484 + b4581 + b4601 + b4741
       + b4912 + b4934 + b5041 + b5072 + b5360 + b5494 + b5603 + b5653 + b6265
       + b6479 + b6488 + b6506 + b6617 + b6820 + b6944 + b7070 + b7078 + b7158
       + b7169 + b7375 + b7453 + b7834 + b7856 + b7867 + b7970 + b8282 + b8582
       = 1;

e753:    b585 + b593 + b668 + b999 + b1012 + b1088 + b1114 + b1148 + b1238
       + b1262 + b1413 + b1909 + b2093 + b2157 + b2183 + b2325 + b2369 + b2616
       + b2662 + b2669 + b2753 + b2781 + b2950 + b3021 + b3346 + b3416 + b3481
       + b3483 + b3498 + b3581 + b3730 + b3906 + b3920 + b3936 + b4028 + b4383
       + b4466 + b4484 + b4581 + b4601 + b4741 + b4912 + b4934 + b5360 + b5377
       + b5494 + b5576 + b5603 + b5653 + b6265 + b6488 + b6617 + b6632 + b6820
       + b6914 + b6944 + b6989 + b7070 + b7169 + b7236 + b7375 + b7453 + b7624
       + b7856 + b7867 + b7931 + b7970 + b8582 + b8711 = 1;

e754:    b217 + b238 + b330 + b411 + b540 + b608 + b999 + b1064 + b1088 + b1114
       + b1148 + b1184 + b1203 + b1238 + b1248 + b1253 + b1262 + b1517 + b1624
       + b1662 + b1711 + b1768 + b1780 + b1781 + b1862 + b1875 + b1909 + b1930
       + b2098 + b2444 + b2536 + b2544 + b2564 + b2665 + b2669 + b2753 + b2797
       + b2936 + b3021 + b3072 + b3264 + b3274 + b3316 + b3328 + b3346 + b3348
       + b3416 + b3433 + b3483 + b3492 + b3498 + b3543 + b3581 + b3600 + b3719
       + b3744 + b3936 + b4000 + b4028 + b4227 + b4466 + b4543 + b4601 + b4618
       + b4865 + b4934 + b5128 + b5270 + b5360 + b5382 + b5506 + b5517 + b5534
       + b5542 + b5570 + b5603 + b5629 + b5933 + b5980 + b6112 + b6159 + b6162
       + b6208 + b6213 + b6265 + b6354 + b6357 + b6395 + b6488 + b6512 + b6549
       + b6581 + b6617 + b6632 + b6655 + b6785 + b6820 + b6854 + b6993 + b7070
       + b7100 + b7169 + b7347 + b7375 + b7503 + b7678 + b7707 + b7766 + b7797
       + b7823 + b7856 + b7879 + b7900 + b7970 + b8183 + b8309 + b8324 + b8407
       + b8419 + b8426 + b8512 + b8744 + b8822 = 1;

e755:    b217 + b238 + b330 + b411 + b540 + b608 + b999 + b1064 + b1088 + b1114
       + b1148 + b1184 + b1203 + b1238 + b1248 + b1253 + b1262 + b1517 + b1624
       + b1662 + b1711 + b1768 + b1780 + b1781 + b1862 + b1875 + b1909 + b1930
       + b2098 + b2444 + b2536 + b2544 + b2564 + b2665 + b2669 + b2753 + b2797
       + b2936 + b3021 + b3072 + b3264 + b3274 + b3316 + b3328 + b3346 + b3348
       + b3416 + b3433 + b3483 + b3492 + b3498 + b3543 + b3581 + b3600 + b3719
       + b3744 + b3936 + b4000 + b4028 + b4227 + b4466 + b4543 + b4601 + b4618
       + b4865 + b4934 + b5128 + b5270 + b5360 + b5382 + b5506 + b5517 + b5534
       + b5542 + b5570 + b5603 + b5629 + b5933 + b5980 + b6112 + b6159 + b6162
       + b6208 + b6213 + b6265 + b6354 + b6357 + b6395 + b6488 + b6512 + b6549
       + b6617 + b6632 + b6655 + b6785 + b6820 + b6854 + b6993 + b7070 + b7100
       + b7169 + b7347 + b7375 + b7503 + b7678 + b7707 + b7766 + b7797 + b7823
       + b7856 + b7879 + b7900 + b7970 + b8183 + b8309 + b8324 + b8407 + b8419
       + b8426 + b8512 + b8744 + b8822 = 1;

e756:    b231 + b652 + b710 + b775 + b795 + b960 + b993 + b1170 + b1462 + b1585
       + b1643 + b1786 + b1837 + b1898 + b1986 + b2126 + b2142 + b2222 + b2252
       + b2365 + b2368 + b2375 + b2602 + b2849 + b2914 + b2972 + b3003 + b3044
       + b3058 + b3072 + b3092 + b3221 + b3526 + b3547 + b3566 + b3606 + b3698
       + b3869 + b4308 + b4322 + b4382 + b4404 + b4443 + b4467 + b5038 + b5096
       + b5133 + b5146 + b5215 + b5270 + b5562 + b5793 + b6143 + b6468 + b6516
       + b6532 + b6535 + b6591 + b6777 + b6883 + b6901 + b6946 + b7148 + b7230
       + b7238 + b7408 + b7439 + b7503 + b7670 + b7987 + b8013 + b8224 + b8689
       + b8704 + b8774 + b8851 = 1;

e757:    b231 + b710 + b775 + b960 + b993 + b1170 + b1462 + b1585 + b1643
       + b1786 + b1837 + b1898 + b1986 + b2126 + b2142 + b2222 + b2252 + b2375
       + b2602 + b2914 + b2972 + b3003 + b3044 + b3092 + b3221 + b3526 + b3547
       + b3566 + b3698 + b4308 + b4322 + b4382 + b4404 + b4443 + b5096 + b5133
       + b5146 + b5215 + b5562 + b5793 + b6143 + b6532 + b6591 + b6777 + b6883
       + b6901 + b6946 + b7148 + b7230 + b7238 + b7408 + b7439 + b7670 + b8013
       + b8224 + b8689 + b8704 + b8774 + b8851 = 1;

e758:    b84 + b187 + b231 + b710 + b775 + b864 + b960 + b993 + b1011 + b1028
       + b1170 + b1462 + b1585 + b1643 + b1786 + b1834 + b1837 + b1898 + b1986
       + b2126 + b2142 + b2222 + b2252 + b2375 + b2406 + b2602 + b2874 + b2972
       + b3003 + b3044 + b3092 + b3142 + b3221 + b3526 + b3547 + b3566 + b3653
       + b3698 + b4239 + b4308 + b4322 + b4382 + b4404 + b4443 + b4615 + b4676
       + b4717 + b4752 + b5096 + b5133 + b5146 + b5215 + b5330 + b5562 + b5793
       + b5856 + b5898 + b5931 + b6143 + b6531 + b6532 + b6591 + b6612 + b6777
       + b6849 + b6883 + b6901 + b6918 + b6942 + b6946 + b7148 + b7230 + b7238
       + b7408 + b7439 + b7463 + b7670 + b8013 + b8157 + b8170 + b8224 + b8442
       + b8689 + b8704 + b8712 + b8774 + b8833 + b8851 = 1;

e759:    b4 + b140 + b187 + b302 + b402 + b490 + b498 + b614 + b710 + b741
       + b960 + b984 + b1049 + b1170 + b1531 + b1564 + b1570 + b1585 + b1586
       + b1618 + b1643 + b1786 + b1825 + b1837 + b1856 + b1873 + b2204 + b2222
       + b2252 + b2359 + b2398 + b2406 + b2456 + b2594 + b2602 + b2652 + b2849
       + b2874 + b2944 + b2972 + b2991 + b3044 + b3072 + b3085 + b3092 + b3098
       + b3142 + b3202 + b3221 + b3427 + b3434 + b3526 + b3547 + b3590 + b3606
       + b3619 + b3774 + b3787 + b3861 + b4059 + b4082 + b4083 + b4112 + b4171
       + b4215 + b4239 + b4308 + b4382 + b4404 + b4467 + b4818 + b5034 + b5053
       + b5096 + b5133 + b5146 + b5163 + b5193 + b5215 + b5268 + b5349 + b5548
       + b5640 + b5787 + b5842 + b5850 + b5922 + b5991 + b6002 + b6018 + b6102
       + b6143 + b6300 + b6532 + b6535 + b6557 + b6591 + b6624 + b6771 + b6777
       + b6821 + b6822 + b6942 + b7092 + b7148 + b7238 + b7408 + b7439 + b7670
       + b8013 + b8046 + b8069 + b8075 + b8152 + b8166 + b8217 + b8224 + b8274
       + b8325 + b8442 + b8525 + b8561 + b8689 + b8712 + b8774 + b8798 + b8870
       = 1;

e760:    b4 + b140 + b187 + b302 + b402 + b614 + b710 + b741 + b960 + b984
       + b1049 + b1170 + b1585 + b1586 + b1618 + b1643 + b1786 + b1837 + b1856
       + b2204 + b2222 + b2252 + b2359 + b2398 + b2456 + b2594 + b2602 + b2652
       + b2849 + b2874 + b2944 + b2972 + b2991 + b3044 + b3072 + b3085 + b3092
       + b3098 + b3142 + b3202 + b3221 + b3427 + b3434 + b3526 + b3547 + b3590
       + b3606 + b3619 + b3787 + b3861 + b4083 + b4215 + b4239 + b4308 + b4382
       + b4404 + b4467 + b4818 + b5034 + b5053 + b5096 + b5133 + b5146 + b5163
       + b5193 + b5215 + b5268 + b5349 + b5548 + b5787 + b5842 + b5850 + b5991
       + b6002 + b6018 + b6102 + b6143 + b6300 + b6532 + b6535 + b6557 + b6591
       + b6624 + b6777 + b6821 + b6822 + b6942 + b7092 + b7148 + b7238 + b7408
       + b7439 + b7670 + b8013 + b8046 + b8069 + b8217 + b8224 + b8274 + b8325
       + b8525 + b8689 + b8712 + b8774 + b8798 + b8870 = 1;

e761:    b4 + b800 + b960 + b1956 + b2252 + b2334 + b2373 + b2398 + b2439
       + b2456 + b2849 + b2944 + b2972 + b2992 + b3044 + b3072 + b3098 + b3153
       + b3202 + b3221 + b3590 + b3606 + b4083 + b4215 + b4308 + b4382 + b5133
       + b5614 + b5787 + b6002 + b6062 + b6102 + b6341 + b6535 + b6557 + b6822
       + b6945 + b7148 + b7408 + b8046 + b8220 + b8294 + b8525 + b8689 + b8774
       + b8798 + b8870 = 1;

e762:    b4 + b652 + b795 + b800 + b1956 + b2334 + b2365 + b2368 + b2373
       + b2398 + b2439 + b2456 + b2849 + b2992 + b3044 + b3058 + b3098 + b3202
       + b3221 + b3590 + b3606 + b3869 + b4215 + b5038 + b5163 + b5268 + b5787
       + b6062 + b6341 + b6516 + b6557 + b6822 + b7148 + b7408 + b7503 + b7987
       + b8220 + b8294 + b8506 + b8774 + b8798 + b8870 = 1;

e763:    b4 + b652 + b795 + b800 + b849 + b959 + b1956 + b2334 + b2340 + b2365
       + b2368 + b2373 + b2398 + b2439 + b2456 + b2849 + b2992 + b3044 + b3058
       + b3071 + b3098 + b3166 + b3202 + b3221 + b3606 + b3797 + b3869 + b4215
       + b5038 + b5163 + b5255 + b5268 + b5787 + b6030 + b6062 + b6341 + b6516
       + b6557 + b6822 + b7148 + b7408 + b7503 + b7511 + b7623 + b7987 + b8220
       + b8294 + b8506 + b8774 + b8798 + b8870 = 1;

e764:    b4 + b652 + b795 + b800 + b849 + b959 + b960 + b1956 + b2252 + b2334
       + b2340 + b2365 + b2368 + b2373 + b2398 + b2439 + b2456 + b2849 + b2914
       + b2972 + b2992 + b3044 + b3058 + b3071 + b3072 + b3098 + b3153 + b3166
       + b3202 + b3221 + b3606 + b3797 + b3869 + b4215 + b4308 + b5038 + b5133
       + b5255 + b5270 + b5614 + b5787 + b6030 + b6062 + b6341 + b6468 + b6516
       + b6535 + b6557 + b6822 + b6945 + b7148 + b7408 + b7503 + b7511 + b7623
       + b7987 + b8046 + b8220 + b8294 + b8506 + b8689 + b8774 + b8798 + b8870
       = 1;

e765:    b121 + b246 + b279 + b509 + b677 + b826 + b1041 + b1526 + b1681
       + b1875 + b2356 + b2481 + b2543 + b2628 + b2841 + b3029 + b3365 + b3437
       + b3929 + b4188 + b4201 + b4236 + b4657 + b5083 + b5204 + b5234 + b5274
       + b5302 + b5336 + b5622 + b5819 + b6026 + b6031 + b6067 + b6276 + b6357
       + b6387 + b6818 + b6886 + b7001 + b7380 + b7416 + b8155 + b8251 + b8353
       + b8564 = 1;

e766:    b121 + b246 + b509 + b826 + b1041 + b1053 + b1681 + b1875 + b2356
       + b2481 + b2841 + b3029 + b3365 + b3437 + b3929 + b4188 + b4201 + b4657
       + b5083 + b5234 + b5274 + b5302 + b5336 + b5622 + b5819 + b6026 + b6031
       + b6357 + b6387 + b6818 + b7001 + b7380 + b7416 + b8155 + b8251 + b8353
       + b8564 = 1;

e767:    b121 + b405 + b431 + b500 + b509 + b517 + b595 + b744 + b829 + b851
       + b870 + b1529 + b1690 + b1704 + b1800 + b1864 + b1869 + b2388 + b2606
       + b2781 + b2954 + b2995 + b3063 + b3122 + b3437 + b3440 + b3498 + b3801
       + b3831 + b3910 + b3917 + b4222 + b4383 + b4598 + b4920 + b5129 + b5274
       + b5302 + b5336 + b5369 + b5603 + b5683 + b5960 + b6026 + b6045 + b6076
       + b6357 + b6387 + b6454 + b6672 + b6692 + b6818 + b7093 + b7094 + b7153
       + b7300 + b7522 + b7589 + b7861 + b8155 + b8258 + b8441 + b8501 + b8532
       + b8701 = 1;

e768:    b121 + b405 + b431 + b500 + b509 + b517 + b595 + b744 + b829 + b851
       + b870 + b1529 + b1725 + b1800 + b1864 + b1869 + b2388 + b2606 + b2781
       + b2995 + b3063 + b3122 + b3437 + b3440 + b3498 + b3801 + b3910 + b4222
       + b4383 + b4920 + b5129 + b5260 + b5274 + b5302 + b5336 + b5369 + b5399
       + b5603 + b5683 + b5960 + b6026 + b6045 + b6076 + b6357 + b6387 + b6454
       + b6672 + b6692 + b6818 + b6950 + b7093 + b7094 + b7096 + b7153 + b7253
       + b7300 + b7461 + b7522 + b7589 + b7861 + b7910 + b8155 + b8207 + b8258
       + b8293 + b8441 + b8501 + b8532 + b8701 = 1;

e769:    b72 + b122 + b195 + b500 + b509 + b595 + b623 + b744 + b829 + b866
       + b870 + b916 + b966 + b1496 + b1601 + b1640 + b1725 + b1800 + b1861
       + b1864 + b1987 + b2017 + b2333 + b2345 + b2542 + b2629 + b2781 + b2834
       + b2836 + b2918 + b2954 + b2994 + b2995 + b3033 + b3091 + b3122 + b3236
       + b3319 + b3440 + b3736 + b3929 + b4155 + b4184 + b4222 + b4297 + b4550
       + b4559 + b4571 + b4920 + b5129 + b5185 + b5260 + b5357 + b5371 + b5421
       + b5451 + b5603 + b5914 + b6076 + b6093 + b6454 + b6760 + b6779 + b6950
       + b7093 + b7094 + b7096 + b7103 + b7153 + b7253 + b7300 + b7402 + b7461
       + b7522 + b8207 + b8272 + b8293 + b8332 + b8501 + b8532 + b8557 + b8670
       = 1;

e770:    b72 + b122 + b195 + b414 + b500 + b509 + b595 + b623 + b744 + b829
       + b870 + b916 + b966 + b1496 + b1601 + b1640 + b1725 + b1800 + b1861
       + b1864 + b1987 + b2017 + b2333 + b2345 + b2542 + b2629 + b2781 + b2834
       + b2836 + b2918 + b2954 + b2994 + b2995 + b3033 + b3091 + b3122 + b3236
       + b3319 + b3440 + b3736 + b3929 + b4155 + b4184 + b4222 + b4297 + b4550
       + b4559 + b4920 + b5129 + b5185 + b5260 + b5357 + b5371 + b5421 + b5451
       + b5603 + b5914 + b6076 + b6093 + b6454 + b6760 + b6769 + b6779 + b6950
       + b7093 + b7094 + b7096 + b7103 + b7153 + b7253 + b7300 + b7402 + b7421
       + b7461 + b7522 + b8207 + b8272 + b8293 + b8332 + b8501 + b8532 + b8557
       + b8670 = 1;

e771:    b20 + b36 + b184 + b198 + b217 + b244 + b310 + b316 + b320 + b440
       + b555 + b559 + b584 + b642 + b655 + b678 + b708 + b739 + b908 + b913
       + b917 + b932 + b997 + b1062 + b1080 + b1083 + b1122 + b1195 + b1203
       + b1251 + b1253 + b1309 + b1319 + b1327 + b1341 + b1358 + b1412 + b1443
       + b1470 + b1473 + b1509 + b1543 + b1608 + b1696 + b1701 + b1743 + b1814
       + b1876 + b1887 + b1922 + b1943 + b1952 + b1993 + b2043 + b2079 + b2130
       + b2144 + b2210 + b2225 + b2290 + b2331 + b2385 + b2401 + b2420 + b2444
       + b2455 + b2494 + b2507 + b2571 + b2687 + b2698 + b2792 + b2799 + b2941
       + b3110 + b3118 + b3121 + b3128 + b3174 + b3217 + b3269 + b3309 + b3414
       + b3433 + b3494 + b3536 + b3546 + b3561 + b3596 + b3610 + b3623 + b3644
       + b3748 + b3784 + b3827 + b3847 + b3879 + b3924 + b3984 + b4000 + b4017
       + b4168 + b4182 + b4208 + b4209 + b4218 + b4302 + b4372 + b4379 + b4398
       + b4414 + b4440 + b4487 + b4530 + b4599 + b4618 + b4684 + b4702 + b4730
       + b4777 + b4781 + b4902 + b4913 + b5057 + b5066 + b5067 + b5120 + b5123
       + b5126 + b5150 + b5160 + b5312 + b5317 + b5412 + b5420 + b5450 + b5461
       + b5508 + b5511 + b5538 + b5551 + b5629 + b5645 + b5691 + b5707 + b5770
       + b5790 + b5804 + b5847 + b5848 + b5868 + b5890 + b5911 + b5928 + b6020
       + b6108 + b6141 + b6156 + b6160 + b6162 + b6198 + b6204 + b6231 + b6237
       + b6365 + b6382 + b6407 + b6495 + b6502 + b6563 + b6614 + b6666 + b6796
       + b6816 + b6829 + b6889 + b6925 + b7100 + b7124 + b7326 + b7341 + b7563
       + b7680 + b7793 + b7800 + b7848 + b7857 + b7879 + b7891 + b7928 + b7959
       + b7995 + b8006 + b8023 + b8040 + b8050 + b8100 + b8126 + b8142 + b8256
       + b8346 + b8350 + b8362 + b8391 + b8394 + b8422 + b8509 + b8588 + b8659
       + b8661 + b8705 + b8708 + b8713 + b8780 + b8793 + b8814 + b8821 + b8844
       + b8885 + b8903 = 1;

e772:    b20 + b36 + b184 + b198 + b217 + b316 + b320 + b440 + b555 + b559
       + b584 + b642 + b655 + b678 + b708 + b739 + b908 + b913 + b917 + b997
       + b1062 + b1080 + b1083 + b1122 + b1251 + b1309 + b1319 + b1327 + b1341
       + b1358 + b1412 + b1470 + b1473 + b1509 + b1543 + b1696 + b1701 + b1743
       + b1876 + b1887 + b1922 + b1943 + b1952 + b1979 + b2043 + b2106 + b2122
       + b2290 + b2331 + b2385 + b2401 + b2420 + b2444 + b2455 + b2494 + b2507
       + b2571 + b2687 + b2698 + b2792 + b2799 + b2941 + b3118 + b3121 + b3128
       + b3174 + b3217 + b3269 + b3309 + b3494 + b3536 + b3546 + b3561 + b3596
       + b3610 + b3623 + b3644 + b3717 + b3748 + b3879 + b3984 + b4000 + b4017
       + b4168 + b4182 + b4209 + b4218 + b4302 + b4379 + b4398 + b4414 + b4487
       + b4530 + b4599 + b4618 + b4702 + b4730 + b4781 + b4902 + b4913 + b5057
       + b5066 + b5120 + b5126 + b5150 + b5160 + b5312 + b5317 + b5412 + b5450
       + b5508 + b5511 + b5538 + b5551 + b5645 + b5691 + b5707 + b5770 + b5790
       + b5804 + b5847 + b5868 + b5890 + b5928 + b5947 + b6020 + b6141 + b6156
       + b6160 + b6162 + b6204 + b6231 + b6365 + b6382 + b6407 + b6432 + b6502
       + b6614 + b6816 + b6829 + b6889 + b6925 + b6955 + b7100 + b7124 + b7326
       + b7341 + b7563 + b7680 + b7793 + b7891 + b7928 + b8006 + b8023 + b8040
       + b8050 + b8100 + b8126 + b8142 + b8346 + b8350 + b8362 + b8391 + b8422
       + b8509 + b8588 + b8661 + b8713 + b8734 + b8780 + b8885 + b8903 = 1;

e773:    b20 + b36 + b184 + b198 + b217 + b316 + b320 + b440 + b555 + b559
       + b584 + b642 + b655 + b678 + b708 + b739 + b908 + b913 + b917 + b997
       + b1062 + b1080 + b1083 + b1122 + b1251 + b1309 + b1319 + b1327 + b1341
       + b1358 + b1412 + b1470 + b1473 + b1509 + b1543 + b1696 + b1701 + b1743
       + b1876 + b1887 + b1922 + b1943 + b1952 + b1979 + b2043 + b2106 + b2122
       + b2290 + b2331 + b2385 + b2401 + b2420 + b2444 + b2455 + b2494 + b2507
       + b2571 + b2687 + b2698 + b2792 + b2799 + b2941 + b3118 + b3121 + b3128
       + b3174 + b3217 + b3269 + b3309 + b3494 + b3536 + b3546 + b3561 + b3596
       + b3610 + b3623 + b3644 + b3717 + b3748 + b3879 + b3984 + b4000 + b4017
       + b4168 + b4182 + b4209 + b4218 + b4302 + b4379 + b4398 + b4414 + b4487
       + b4530 + b4599 + b4618 + b4702 + b4730 + b4781 + b4902 + b4913 + b5057
       + b5066 + b5120 + b5126 + b5150 + b5160 + b5312 + b5317 + b5412 + b5450
       + b5508 + b5511 + b5538 + b5551 + b5645 + b5691 + b5707 + b5770 + b5790
       + b5804 + b5847 + b5868 + b5890 + b5928 + b5947 + b6020 + b6141 + b6156
       + b6160 + b6162 + b6204 + b6231 + b6365 + b6382 + b6407 + b6432 + b6502
       + b6614 + b6816 + b6829 + b6889 + b6902 + b6925 + b6955 + b7100 + b7124
       + b7326 + b7341 + b7563 + b7680 + b7793 + b7891 + b7928 + b8006 + b8023
       + b8040 + b8050 + b8100 + b8126 + b8142 + b8346 + b8350 + b8362 + b8391
       + b8422 + b8509 + b8588 + b8661 + b8713 + b8734 + b8780 + b8885 + b8903
       = 1;

e774:    b20 + b36 + b184 + b198 + b217 + b310 + b316 + b320 + b440 + b555
       + b559 + b584 + b642 + b655 + b678 + b708 + b739 + b859 + b874 + b908
       + b913 + b917 + b932 + b997 + b1062 + b1080 + b1083 + b1122 + b1143
       + b1156 + b1195 + b1203 + b1206 + b1251 + b1253 + b1309 + b1319 + b1327
       + b1341 + b1358 + b1405 + b1412 + b1425 + b1443 + b1470 + b1473 + b1509
       + b1530 + b1543 + b1608 + b1696 + b1701 + b1743 + b1814 + b1852 + b1876
       + b1878 + b1887 + b1922 + b1943 + b1952 + b1979 + b2043 + b2079 + b2106
       + b2122 + b2130 + b2144 + b2210 + b2290 + b2331 + b2385 + b2401 + b2420
       + b2444 + b2455 + b2494 + b2507 + b2571 + b2687 + b2698 + b2792 + b2799
       + b2906 + b2941 + b3107 + b3118 + b3121 + b3128 + b3174 + b3217 + b3219
       + b3269 + b3309 + b3382 + b3414 + b3424 + b3425 + b3433 + b3494 + b3536
       + b3546 + b3561 + b3596 + b3610 + b3623 + b3644 + b3717 + b3748 + b3770
       + b3827 + b3879 + b3924 + b3984 + b4000 + b4017 + b4168 + b4182 + b4208
       + b4209 + b4218 + b4302 + b4372 + b4379 + b4395 + b4398 + b4414 + b4453
       + b4487 + b4530 + b4599 + b4618 + b4702 + b4730 + b4777 + b4781 + b4902
       + b4913 + b5057 + b5066 + b5120 + b5123 + b5126 + b5150 + b5160 + b5312
       + b5317 + b5320 + b5375 + b5412 + b5420 + b5450 + b5461 + b5508 + b5511
       + b5538 + b5551 + b5629 + b5645 + b5691 + b5707 + b5757 + b5770 + b5790
       + b5804 + b5847 + b5848 + b5868 + b5890 + b5911 + b5928 + b5947 + b6020
       + b6108 + b6141 + b6156 + b6160 + b6162 + b6198 + b6204 + b6231 + b6237
       + b6321 + b6365 + b6382 + b6407 + b6432 + b6495 + b6502 + b6563 + b6614
       + b6666 + b6816 + b6829 + b6889 + b6902 + b6925 + b6955 + b7100 + b7124
       + b7326 + b7341 + b7563 + b7593 + b7680 + b7793 + b7800 + b7805 + b7837
       + b7848 + b7857 + b7879 + b7891 + b7928 + b7959 + b7995 + b8006 + b8023
       + b8040 + b8050 + b8054 + b8100 + b8108 + b8126 + b8142 + b8159 + b8256
       + b8346 + b8350 + b8362 + b8391 + b8394 + b8422 + b8509 + b8588 + b8592
       + b8659 + b8661 + b8705 + b8713 + b8734 + b8780 + b8793 + b8814 + b8821
       + b8829 + b8885 + b8903 = 1;

e775:    b36 + b53 + b105 + b173 + b192 + b217 + b269 + b316 + b373 + b440
       + b503 + b542 + b548 + b555 + b573 + b580 + b594 + b598 + b625 + b662
       + b668 + b679 + b683 + b735 + b767 + b807 + b859 + b898 + b913 + b932
       + b1083 + b1137 + b1195 + b1203 + b1251 + b1309 + b1319 + b1327 + b1341
       + b1358 + b1382 + b1459 + b1509 + b1530 + b1608 + b1701 + b1743 + b1839
       + b1894 + b1904 + b1918 + b1920 + b1922 + b1943 + b1979 + b2014 + b2043
       + b2064 + b2079 + b2118 + b2122 + b2144 + b2220 + b2301 + b2401 + b2413
       + b2444 + b2455 + b2472 + b2549 + b2580 + b2686 + b2788 + b2795 + b2815
       + b2827 + b2882 + b2898 + b2911 + b2929 + b2933 + b2940 + b2978 + b2999
       + b3016 + b3074 + b3107 + b3135 + b3174 + b3236 + b3326 + b3342 + b3376
       + b3433 + b3466 + b3536 + b3546 + b3561 + b3609 + b3634 + b3717 + b3718
       + b3723 + b3742 + b3757 + b3762 + b3811 + b3833 + b3924 + b4019 + b4104
       + b4168 + b4206 + b4218 + b4273 + b4290 + b4301 + b4372 + b4402 + b4414
       + b4425 + b4453 + b4485 + b4599 + b4691 + b4695 + b4777 + b4781 + b4875
       + b4902 + b4913 + b5031 + b5057 + b5066 + b5067 + b5070 + b5083 + b5090
       + b5091 + b5112 + b5125 + b5126 + b5160 + b5175 + b5224 + b5319 + b5375
       + b5412 + b5461 + b5503 + b5551 + b5629 + b5645 + b5707 + b5716 + b5757
       + b5788 + b5809 + b5839 + b5847 + b5890 + b5911 + b5949 + b5962 + b5963
       + b6020 + b6141 + b6156 + b6160 + b6162 + b6198 + b6231 + b6237 + b6296
       + b6364 + b6407 + b6424 + b6432 + b6461 + b6502 + b6548 + b6563 + b6657
       + b6666 + b6740 + b6816 + b6899 + b7054 + b7111 + b7124 + b7137 + b7201
       + b7206 + b7249 + b7262 + b7283 + b7303 + b7342 + b7349 + b7403 + b7455
       + b7513 + b7563 + b7593 + b7615 + b7744 + b7759 + b7760 + b7800 + b7805
       + b7837 + b7857 + b7891 + b7928 + b7959 + b7964 + b8006 + b8040 + b8057
       + b8072 + b8108 + b8159 + b8172 + b8191 + b8210 + b8238 + b8242 + b8250
       + b8269 + b8350 + b8391 + b8394 + b8404 + b8588 + b8634 + b8641 + b8647
       + b8664 + b8708 + b8713 + b8734 + b8780 + b8794 + b8815 + b8885 + b8903
       = 1;

e776:    b36 + b53 + b105 + b173 + b192 + b217 + b269 + b316 + b373 + b440
       + b503 + b542 + b548 + b555 + b573 + b580 + b594 + b598 + b625 + b662
       + b668 + b679 + b683 + b735 + b767 + b807 + b859 + b898 + b913 + b932
       + b1083 + b1137 + b1195 + b1203 + b1251 + b1309 + b1319 + b1327 + b1341
       + b1358 + b1382 + b1459 + b1509 + b1530 + b1608 + b1701 + b1743 + b1839
       + b1894 + b1904 + b1918 + b1920 + b1922 + b1943 + b1979 + b2014 + b2043
       + b2064 + b2079 + b2118 + b2122 + b2144 + b2220 + b2301 + b2401 + b2413
       + b2444 + b2455 + b2470 + b2472 + b2549 + b2580 + b2686 + b2788 + b2795
       + b2815 + b2827 + b2882 + b2898 + b2911 + b2929 + b2933 + b2940 + b2978
       + b2999 + b3016 + b3074 + b3107 + b3135 + b3174 + b3236 + b3326 + b3342
       + b3376 + b3433 + b3466 + b3536 + b3546 + b3561 + b3609 + b3630 + b3634
       + b3717 + b3718 + b3723 + b3742 + b3757 + b3762 + b3811 + b3833 + b3924
       + b4019 + b4104 + b4168 + b4206 + b4218 + b4273 + b4290 + b4301 + b4372
       + b4402 + b4414 + b4425 + b4453 + b4485 + b4599 + b4691 + b4695 + b4777
       + b4781 + b4875 + b4902 + b4913 + b5031 + b5057 + b5066 + b5067 + b5070
       + b5083 + b5090 + b5091 + b5112 + b5125 + b5126 + b5160 + b5175 + b5224
       + b5319 + b5375 + b5412 + b5461 + b5503 + b5551 + b5629 + b5645 + b5707
       + b5716 + b5757 + b5788 + b5809 + b5839 + b5847 + b5890 + b5911 + b5949
       + b5962 + b5963 + b6020 + b6141 + b6156 + b6160 + b6162 + b6198 + b6231
       + b6237 + b6296 + b6364 + b6407 + b6424 + b6432 + b6461 + b6502 + b6548
       + b6563 + b6657 + b6666 + b6740 + b6816 + b6899 + b7054 + b7111 + b7124
       + b7137 + b7201 + b7206 + b7249 + b7262 + b7283 + b7303 + b7342 + b7349
       + b7403 + b7455 + b7513 + b7563 + b7593 + b7615 + b7744 + b7759 + b7760
       + b7800 + b7805 + b7837 + b7857 + b7891 + b7928 + b7959 + b7964 + b8006
       + b8040 + b8057 + b8072 + b8108 + b8159 + b8172 + b8191 + b8210 + b8238
       + b8242 + b8250 + b8269 + b8350 + b8391 + b8394 + b8404 + b8588 + b8634
       + b8641 + b8647 + b8664 + b8708 + b8713 + b8734 + b8780 + b8794 + b8815
       + b8885 + b8903 = 1;

e777:    b20 + b30 + b53 + b173 + b192 + b217 + b269 + b280 + b373 + b374
       + b412 + b430 + b440 + b503 + b555 + b562 + b580 + b584 + b594 + b598
       + b604 + b625 + b662 + b668 + b679 + b683 + b708 + b767 + b778 + b791
       + b804 + b807 + b848 + b858 + b872 + b898 + b1083 + b1309 + b1358
       + b1368 + b1382 + b1409 + b1470 + b1509 + b1530 + b1702 + b1804 + b1918
       + b1922 + b1943 + b1952 + b1979 + b2043 + b2122 + b2130 + b2144 + b2186
       + b2278 + b2290 + b2301 + b2401 + b2402 + b2417 + b2444 + b2472 + b2549
       + b2571 + b2580 + b2645 + b2687 + b2711 + b2764 + b2788 + b2795 + b2824
       + b2841 + b2881 + b2882 + b2898 + b2911 + b2917 + b2929 + b2940 + b2941
       + b2978 + b3016 + b3034 + b3074 + b3079 + b3087 + b3118 + b3261 + b3309
       + b3342 + b3433 + b3542 + b3584 + b3594 + b3634 + b3678 + b3742 + b3748
       + b3762 + b3773 + b3786 + b3833 + b3878 + b3924 + b3981 + b4104 + b4128
       + b4182 + b4273 + b4290 + b4325 + b4372 + b4402 + b4485 + b4487 + b4498
       + b4499 + b4532 + b4540 + b4599 + b4736 + b4747 + b4781 + b4794 + b4814
       + b4852 + b4855 + b4875 + b4913 + b4954 + b5031 + b5054 + b5057 + b5066
       + b5067 + b5070 + b5083 + b5090 + b5091 + b5109 + b5112 + b5125 + b5126
       + b5170 + b5175 + b5236 + b5244 + b5245 + b5266 + b5305 + b5319 + b5412
       + b5511 + b5522 + b5629 + b5645 + b5707 + b5716 + b5809 + b5890 + b5920
       + b5924 + b5949 + b5963 + b5972 + b6020 + b6073 + b6092 + b6141 + b6156
       + b6160 + b6198 + b6327 + b6335 + b6382 + b6461 + b6548 + b6614 + b6654
       + b6657 + b6829 + b6830 + b6899 + b6939 + b7054 + b7111 + b7124 + b7206
       + b7259 + b7262 + b7283 + b7303 + b7304 + b7349 + b7377 + b7403 + b7429
       + b7431 + b7513 + b7530 + b7615 + b7680 + b7736 + b7744 + b7760 + b7928
       + b7964 + b7994 + b8006 + b8023 + b8040 + b8185 + b8228 + b8238 + b8250
       + b8269 + b8346 + b8443 + b8489 + b8600 + b8634 + b8708 + b8794 + b8867
       + b8891 + b8903 = 1;

e778:    b20 + b30 + b53 + b173 + b192 + b217 + b269 + b280 + b373 + b374
       + b430 + b440 + b503 + b555 + b562 + b580 + b584 + b594 + b598 + b604
       + b625 + b662 + b668 + b679 + b683 + b708 + b767 + b791 + b804 + b807
       + b848 + b858 + b872 + b898 + b1083 + b1358 + b1368 + b1382 + b1409
       + b1470 + b1509 + b1530 + b1702 + b1804 + b1918 + b1922 + b1943 + b1952
       + b2122 + b2130 + b2144 + b2186 + b2220 + b2290 + b2301 + b2401 + b2402
       + b2417 + b2444 + b2464 + b2472 + b2549 + b2571 + b2580 + b2645 + b2686
       + b2687 + b2711 + b2764 + b2788 + b2795 + b2841 + b2881 + b2882 + b2898
       + b2911 + b2917 + b2929 + b2940 + b2941 + b2942 + b2956 + b2978 + b3016
       + b3034 + b3074 + b3079 + b3087 + b3118 + b3217 + b3261 + b3309 + b3342
       + b3433 + b3494 + b3501 + b3542 + b3584 + b3594 + b3634 + b3678 + b3742
       + b3748 + b3773 + b3786 + b3796 + b3811 + b3833 + b3878 + b3924 + b3981
       + b4104 + b4128 + b4182 + b4206 + b4290 + b4325 + b4372 + b4402 + b4444
       + b4485 + b4487 + b4498 + b4499 + b4532 + b4540 + b4599 + b4670 + b4736
       + b4747 + b4781 + b4794 + b4814 + b4852 + b4855 + b4875 + b4888 + b4913
       + b4962 + b5031 + b5054 + b5057 + b5067 + b5070 + b5083 + b5090 + b5091
       + b5109 + b5112 + b5125 + b5126 + b5170 + b5175 + b5236 + b5244 + b5245
       + b5278 + b5305 + b5412 + b5511 + b5522 + b5629 + b5645 + b5707 + b5716
       + b5809 + b5890 + b5920 + b5924 + b5949 + b6020 + b6073 + b6092 + b6141
       + b6156 + b6160 + b6198 + b6327 + b6335 + b6382 + b6461 + b6547 + b6548
       + b6614 + b6654 + b6657 + b6829 + b6830 + b6857 + b6899 + b6925 + b6939
       + b7054 + b7111 + b7124 + b7137 + b7201 + b7206 + b7259 + b7262 + b7283
       + b7303 + b7349 + b7377 + b7403 + b7429 + b7431 + b7513 + b7530 + b7680
       + b7736 + b7744 + b7760 + b7891 + b7894 + b7964 + b8006 + b8023 + b8057
       + b8179 + b8184 + b8185 + b8228 + b8238 + b8269 + b8346 + b8443 + b8489
       + b8600 + b8664 + b8708 + b8794 + b8867 + b8891 + b8903 = 1;

e779:    b20 + b173 + b192 + b217 + b320 + b373 + b374 + b454 + b555 + b580
       + b594 + b598 + b604 + b642 + b649 + b679 + b680 + b767 + b791 + b804
       + b816 + b872 + b932 + b1067 + b1081 + b1122 + b1132 + b1156 + b1341
       + b1368 + b1405 + b1409 + b1412 + b1425 + b1470 + b1473 + b1666 + b1696
       + b1702 + b1754 + b1814 + b1876 + b1878 + b1887 + b1922 + b1979 + b2122
       + b2130 + b2144 + b2177 + b2220 + b2290 + b2300 + b2401 + b2417 + b2494
       + b2580 + b2642 + b2645 + b2653 + b2669 + b2711 + b2713 + b2764 + b2788
       + b2795 + b2881 + b2898 + b2906 + b2911 + b2917 + b2939 + b2941 + b2956
       + b2959 + b3011 + b3016 + b3034 + b3047 + b3079 + b3087 + b3118 + b3121
       + b3135 + b3269 + b3342 + b3414 + b3424 + b3433 + b3444 + b3494 + b3501
       + b3570 + b3584 + b3594 + b3596 + b3610 + b3644 + b3738 + b3748 + b3771
       + b3773 + b3781 + b3924 + b3974 + b3996 + b4136 + b4182 + b4208 + b4218
       + b4325 + b4372 + b4402 + b4414 + b4429 + b4444 + b4599 + b4618 + b4670
       + b4689 + b4702 + b4731 + b4743 + b4781 + b4794 + b4814 + b4855 + b4867
       + b4892 + b4913 + b4918 + b4949 + b4962 + b5031 + b5091 + b5109 + b5112
       + b5117 + b5150 + b5200 + b5236 + b5305 + b5496 + b5497 + b5508 + b5511
       + b5531 + b5707 + b5757 + b5770 + b5790 + b5804 + b5920 + b5935 + b5947
       + b5950 + b6020 + b6092 + b6196 + b6198 + b6204 + b6231 + b6321 + b6335
       + b6348 + b6495 + b6547 + b6654 + b6830 + b6889 + b6899 + b6958 + b6968
       + b7031 + b7054 + b7259 + b7262 + b7283 + b7287 + b7303 + b7341 + b7370
       + b7403 + b7513 + b7527 + b7530 + b7680 + b7736 + b7746 + b7747 + b7760
       + b7764 + b7793 + b7800 + b7837 + b7857 + b7879 + b8126 + b8228 + b8230
       + b8242 + b8256 + b8346 + b8362 + b8475 + b8592 + b8600 + b8705 + b8793
       + b8821 + b8829 + b8891 = 1;

e780:    b20 + b173 + b192 + b217 + b320 + b373 + b374 + b454 + b555 + b580
       + b594 + b598 + b604 + b642 + b649 + b679 + b680 + b735 + b767 + b791
       + b804 + b816 + b872 + b932 + b1067 + b1081 + b1122 + b1132 + b1156
       + b1341 + b1368 + b1405 + b1409 + b1412 + b1425 + b1470 + b1473 + b1666
       + b1696 + b1702 + b1754 + b1814 + b1876 + b1887 + b1922 + b1979 + b2122
       + b2130 + b2144 + b2177 + b2220 + b2290 + b2300 + b2401 + b2417 + b2494
       + b2580 + b2642 + b2645 + b2653 + b2669 + b2711 + b2713 + b2764 + b2788
       + b2795 + b2881 + b2898 + b2906 + b2911 + b2917 + b2939 + b2941 + b2956
       + b2959 + b2964 + b3011 + b3016 + b3034 + b3047 + b3079 + b3087 + b3118
       + b3121 + b3135 + b3269 + b3342 + b3414 + b3424 + b3433 + b3444 + b3494
       + b3501 + b3570 + b3584 + b3594 + b3596 + b3610 + b3644 + b3738 + b3748
       + b3771 + b3773 + b3781 + b3924 + b3974 + b3996 + b4136 + b4182 + b4208
       + b4218 + b4325 + b4372 + b4402 + b4414 + b4429 + b4444 + b4599 + b4618
       + b4670 + b4689 + b4702 + b4731 + b4743 + b4781 + b4794 + b4814 + b4855
       + b4892 + b4913 + b4918 + b4949 + b4962 + b5031 + b5091 + b5109 + b5112
       + b5117 + b5150 + b5200 + b5236 + b5305 + b5496 + b5497 + b5508 + b5511
       + b5531 + b5707 + b5757 + b5770 + b5790 + b5804 + b5920 + b5935 + b5947
       + b5950 + b6020 + b6092 + b6196 + b6198 + b6204 + b6231 + b6335 + b6348
       + b6495 + b6547 + b6654 + b6830 + b6889 + b6899 + b6958 + b6968 + b7031
       + b7054 + b7259 + b7262 + b7283 + b7287 + b7303 + b7341 + b7370 + b7403
       + b7513 + b7527 + b7530 + b7680 + b7736 + b7746 + b7747 + b7760 + b7764
       + b7793 + b7800 + b7837 + b7857 + b7879 + b8126 + b8228 + b8230 + b8242
       + b8256 + b8346 + b8362 + b8475 + b8479 + b8600 + b8705 + b8793 + b8821
       + b8829 + b8891 = 1;

e781:    b11 + b49 + b66 + b67 + b73 + b94 + b136 + b162 + b267 + b344 + b411
       + b436 + b504 + b574 + b603 + b688 + b733 + b756 + b783 + b790 + b822
       + b851 + b905 + b910 + b920 + b992 + b1018 + b1050 + b1071 + b1074
       + b1190 + b1191 + b1196 + b1201 + b1254 + b1318 + b1322 + b1356 + b1373
       + b1419 + b1424 + b1440 + b1451 + b1480 + b1483 + b1544 + b1609 + b1614
       + b1625 + b1713 + b1732 + b1766 + b1790 + b2089 + b2106 + b2121 + b2125
       + b2153 + b2157 + b2268 + b2287 + b2303 + b2329 + b2368 + b2379 + b2440
       + b2500 + b2689 + b2782 + b2894 + b2912 + b2924 + b2983 + b3049 + b3073
       + b3091 + b3115 + b3170 + b3176 + b3181 + b3195 + b3227 + b3303 + b3317
       + b3410 + b3421 + b3558 + b3568 + b3595 + b3602 + b3643 + b3683 + b3686
       + b3693 + b3782 + b3873 + b3958 + b4012 + b4031 + b4032 + b4039 + b4245
       + b4260 + b4301 + b4317 + b4345 + b4362 + b4395 + b4446 + b4458 + b4470
       + b4519 + b4564 + b4572 + b4662 + b4904 + b4917 + b4957 + b5008 + b5015
       + b5024 + b5135 + b5140 + b5195 + b5223 + b5254 + b5259 + b5345 + b5419
       + b5437 + b5494 + b5577 + b5609 + b5714 + b5782 + b5895 + b5900 + b5921
       + b5939 + b5965 + b6028 + b6038 + b6187 + b6207 + b6263 + b6325 + b6441
       + b6446 + b6488 + b6494 + b6555 + b6562 + b6588 + b6606 + b6607 + b6609
       + b6677 + b6683 + b6690 + b6708 + b6756 + b6764 + b6780 + b6784 + b6811
       + b6831 + b6840 + b6955 + b7016 + b7062 + b7101 + b7135 + b7157 + b7158
       + b7217 + b7260 + b7274 + b7276 + b7327 + b7334 + b7346 + b7353 + b7362
       + b7395 + b7434 + b7442 + b7481 + b7522 + b7552 + b7565 + b7662 + b7755
       + b7771 + b7821 + b7825 + b7826 + b7844 + b7968 + b8010 + b8022 + b8028
       + b8066 + b8200 + b8226 + b8227 + b8260 + b8309 + b8414 + b8418 + b8454
       + b8485 + b8495 + b8582 + b8639 + b8724 + b8830 + b8835 + b8838 = 1;

e782:    b11 + b49 + b67 + b136 + b204 + b267 + b344 + b411 + b436 + b507
       + b574 + b603 + b688 + b756 + b783 + b790 + b822 + b851 + b905 + b920
       + b1018 + b1050 + b1074 + b1105 + b1168 + b1190 + b1191 + b1196 + b1201
       + b1234 + b1254 + b1318 + b1322 + b1356 + b1373 + b1419 + b1424 + b1440
       + b1451 + b1476 + b1483 + b1544 + b1552 + b1614 + b1625 + b1713 + b1766
       + b1769 + b1772 + b1797 + b1989 + b1990 + b2039 + b2076 + b2089 + b2121
       + b2125 + b2153 + b2157 + b2208 + b2268 + b2286 + b2287 + b2303 + b2368
       + b2440 + b2500 + b2515 + b2689 + b2730 + b2782 + b2894 + b2912 + b2924
       + b2983 + b3049 + b3091 + b3115 + b3170 + b3195 + b3227 + b3303 + b3317
       + b3402 + b3410 + b3421 + b3595 + b3602 + b3641 + b3643 + b3649 + b3683
       + b3686 + b3693 + b3694 + b3873 + b3958 + b4001 + b4005 + b4012 + b4031
       + b4032 + b4039 + b4159 + b4245 + b4301 + b4345 + b4362 + b4395 + b4458
       + b4470 + b4483 + b4519 + b4899 + b4957 + b5008 + b5015 + b5024 + b5135
       + b5140 + b5195 + b5223 + b5259 + b5356 + b5419 + b5437 + b5494 + b5577
       + b5601 + b5609 + b5714 + b5782 + b5874 + b5895 + b5900 + b5921 + b5939
       + b5965 + b6028 + b6061 + b6187 + b6207 + b6260 + b6263 + b6279 + b6325
       + b6344 + b6488 + b6494 + b6562 + b6588 + b6606 + b6609 + b6677 + b6780
       + b6784 + b6811 + b6831 + b6840 + b6963 + b7016 + b7062 + b7071 + b7101
       + b7135 + b7157 + b7158 + b7217 + b7274 + b7276 + b7334 + b7346 + b7353
       + b7355 + b7362 + b7395 + b7434 + b7481 + b7522 + b7565 + b7662 + b7701
       + b7755 + b7771 + b7826 + b7844 + b7854 + b7968 + b8010 + b8022 + b8028
       + b8138 + b8181 + b8200 + b8226 + b8227 + b8309 + b8347 + b8418 + b8454
       + b8582 + b8724 + b8790 + b8830 + b8835 = 1;

e783:    b11 + b67 + b136 + b204 + b267 + b344 + b411 + b436 + b507 + b574
       + b603 + b682 + b688 + b756 + b783 + b790 + b822 + b836 + b851 + b905
       + b920 + b925 + b1018 + b1074 + b1105 + b1168 + b1190 + b1191 + b1196
       + b1201 + b1234 + b1254 + b1322 + b1356 + b1373 + b1419 + b1440 + b1451
       + b1476 + b1483 + b1544 + b1552 + b1614 + b1625 + b1654 + b1675 + b1713
       + b1739 + b1766 + b1769 + b1772 + b1797 + b1866 + b1989 + b1990 + b2039
       + b2089 + b2121 + b2125 + b2153 + b2172 + b2208 + b2268 + b2286 + b2303
       + b2368 + b2440 + b2500 + b2515 + b2689 + b2730 + b2782 + b2854 + b2894
       + b2912 + b2924 + b2983 + b3049 + b3091 + b3115 + b3124 + b3170 + b3195
       + b3227 + b3402 + b3410 + b3421 + b3426 + b3595 + b3602 + b3641 + b3643
       + b3683 + b3686 + b3694 + b3846 + b3873 + b3958 + b4012 + b4031 + b4159
       + b4245 + b4301 + b4345 + b4362 + b4395 + b4458 + b4470 + b4483 + b4519
       + b4557 + b4751 + b4899 + b4957 + b5008 + b5015 + b5024 + b5135 + b5140
       + b5195 + b5259 + b5323 + b5356 + b5419 + b5437 + b5577 + b5601 + b5609
       + b5714 + b5747 + b5782 + b5833 + b5874 + b5900 + b5921 + b5939 + b5965
       + b6024 + b6028 + b6061 + b6077 + b6187 + b6263 + b6279 + b6325 + b6344
       + b6349 + b6494 + b6552 + b6562 + b6588 + b6606 + b6609 + b6677 + b6693
       + b6780 + b6784 + b6811 + b6831 + b6840 + b6963 + b7016 + b7062 + b7071
       + b7101 + b7135 + b7157 + b7158 + b7217 + b7274 + b7276 + b7334 + b7346
       + b7353 + b7355 + b7362 + b7395 + b7434 + b7481 + b7522 + b7550 + b7565
       + b7585 + b7755 + b7771 + b7826 + b7844 + b7854 + b7947 + b7968 + b7992
       + b8022 + b8134 + b8138 + b8181 + b8200 + b8226 + b8227 + b8309 + b8334
       + b8418 + b8454 + b8554 + b8724 + b8754 + b8790 + b8830 + b8835 = 1;

e784:    b66 + b67 + b117 + b145 + b185 + b204 + b226 + b236 + b248 + b249
       + b329 + b338 + b344 + b436 + b474 + b494 + b507 + b586 + b616 + b682
       + b783 + b790 + b822 + b841 + b883 + b896 + b904 + b905 + b1010 + b1018
       + b1027 + b1064 + b1074 + b1097 + b1105 + b1168 + b1190 + b1201 + b1234
       + b1261 + b1284 + b1324 + b1328 + b1329 + b1440 + b1464 + b1483 + b1501
       + b1546 + b1575 + b1589 + b1619 + b1625 + b1654 + b1675 + b1679 + b1703
       + b1718 + b1726 + b1732 + b1759 + b1797 + b1798 + b1815 + b1828 + b2010
       + b2040 + b2053 + b2055 + b2070 + b2121 + b2141 + b2148 + b2154 + b2156
       + b2182 + b2184 + b2294 + b2368 + b2395 + b2407 + b2412 + b2440 + b2487
       + b2495 + b2514 + b2553 + b2560 + b2573 + b2584 + b2589 + b2603 + b2612
       + b2685 + b2695 + b2719 + b2730 + b2738 + b2746 + b2788 + b2814 + b2825
       + b2840 + b2843 + b2854 + b2892 + b2894 + b2976 + b2986 + b3030 + b3049
       + b3077 + b3115 + b3119 + b3146 + b3150 + b3195 + b3209 + b3220 + b3235
       + b3317 + b3396 + b3401 + b3420 + b3421 + b3426 + b3474 + b3509 + b3553
       + b3573 + b3587 + b3654 + b3663 + b3692 + b3715 + b3782 + b3814 + b3849
       + b3860 + b3873 + b3887 + b3895 + b3911 + b3931 + b3979 + b3997 + b4004
       + b4012 + b4015 + b4031 + b4039 + b4056 + b4090 + b4216 + b4255 + b4267
       + b4328 + b4345 + b4364 + b4387 + b4419 + b4461 + b4478 + b4482 + b4490
       + b4504 + b4509 + b4557 + b4562 + b4564 + b4602 + b4604 + b4631 + b4645
       + b4647 + b4659 + b4665 + b4668 + b4680 + b4714 + b4768 + b4786 + b4811
       + b4853 + b4899 + b4916 + b4917 + b4921 + b4943 + b5024 + b5035 + b5036
       + b5051 + b5093 + b5168 + b5327 + b5356 + b5358 + b5367 + b5377 + b5405
       + b5430 + b5585 + b5592 + b5623 + b5643 + b5684 + b5692 + b5698 + b5733
       + b5738 + b5771 + b5778 + b5810 + b5833 + b5876 + b5952 + b5965 + b6000
       + b6006 + b6024 + b6028 + b6038 + b6039 + b6061 + b6094 + b6120 + b6128
       + b6142 + b6184 + b6202 + b6214 + b6228 + b6263 + b6274 + b6279 + b6299
       + b6325 + b6328 + b6344 + b6349 + b6405 + b6440 + b6493 + b6500 + b6511
       + b6540 + b6552 + b6588 + b6609 + b6611 + b6677 + b6685 + b6700 + b6756
       + b6764 + b6797 + b6811 + b6831 + b6853 + b6908 + b6953 + b6980 + b6987
       + b6988 + b7003 + b7010 + b7043 + b7059 + b7062 + b7071 + b7135 + b7156
       + b7158 + b7200 + b7224 + b7245 + b7274 + b7308 + b7334 + b7355 + b7395
       + b7427 + b7434 + b7550 + b7565 + b7575 + b7583 + b7585 + b7662 + b7678
       + b7825 + b7844 + b7915 + b7941 + b7947 + b7987 + b7992 + b8049 + b8181
       + b8186 + b8214 + b8226 + b8247 + b8268 + b8271 + b8289 + b8309 + b8334
       + b8344 + b8369 + b8371 + b8379 + b8399 + b8400 + b8424 + b8445 + b8449
       + b8452 + b8454 + b8460 + b8476 + b8486 + b8554 + b8568 + b8582 + b8608
       + b8665 + b8674 + b8731 + b8741 + b8745 + b8796 + b8826 + b8830 + b8834
       + b8835 + b8862 = 1;

e785:    b66 + b67 + b117 + b145 + b167 + b185 + b204 + b226 + b236 + b248
       + b249 + b255 + b329 + b338 + b344 + b436 + b474 + b494 + b507 + b586
       + b616 + b682 + b783 + b790 + b822 + b841 + b883 + b896 + b904 + b905
       + b933 + b945 + b1010 + b1018 + b1027 + b1064 + b1074 + b1097 + b1105
       + b1168 + b1190 + b1201 + b1234 + b1261 + b1284 + b1324 + b1328 + b1329
       + b1332 + b1380 + b1440 + b1447 + b1464 + b1483 + b1501 + b1546 + b1575
       + b1589 + b1619 + b1625 + b1654 + b1675 + b1679 + b1703 + b1718 + b1726
       + b1732 + b1759 + b1797 + b1798 + b1815 + b1828 + b2010 + b2040 + b2053
       + b2055 + b2070 + b2121 + b2141 + b2148 + b2154 + b2156 + b2182 + b2184
       + b2259 + b2294 + b2327 + b2368 + b2378 + b2395 + b2403 + b2407 + b2412
       + b2440 + b2487 + b2495 + b2514 + b2553 + b2560 + b2573 + b2584 + b2589
       + b2603 + b2612 + b2685 + b2695 + b2719 + b2730 + b2746 + b2788 + b2814
       + b2825 + b2840 + b2843 + b2854 + b2892 + b2894 + b2976 + b2986 + b3030
       + b3077 + b3115 + b3119 + b3146 + b3150 + b3195 + b3209 + b3220 + b3235
       + b3317 + b3396 + b3401 + b3420 + b3421 + b3426 + b3474 + b3509 + b3553
       + b3573 + b3587 + b3627 + b3654 + b3663 + b3692 + b3715 + b3782 + b3814
       + b3849 + b3860 + b3873 + b3887 + b3895 + b3911 + b3931 + b3978 + b3979
       + b3990 + b3997 + b4004 + b4012 + b4015 + b4031 + b4039 + b4056 + b4090
       + b4216 + b4246 + b4255 + b4267 + b4328 + b4345 + b4364 + b4387 + b4419
       + b4461 + b4478 + b4482 + b4490 + b4504 + b4509 + b4527 + b4557 + b4562
       + b4564 + b4589 + b4602 + b4604 + b4611 + b4631 + b4645 + b4647 + b4659
       + b4665 + b4668 + b4680 + b4714 + b4768 + b4786 + b4811 + b4853 + b4899
       + b4916 + b4917 + b4921 + b4943 + b5024 + b5035 + b5036 + b5051 + b5093
       + b5168 + b5327 + b5356 + b5358 + b5367 + b5377 + b5405 + b5430 + b5585
       + b5592 + b5623 + b5643 + b5684 + b5692 + b5698 + b5733 + b5738 + b5771
       + b5778 + b5810 + b5833 + b5876 + b5952 + b5965 + b6000 + b6001 + b6006
       + b6024 + b6028 + b6038 + b6039 + b6061 + b6094 + b6120 + b6128 + b6142
       + b6149 + b6163 + b6181 + b6184 + b6202 + b6212 + b6214 + b6228 + b6263
       + b6274 + b6279 + b6299 + b6325 + b6328 + b6344 + b6349 + b6405 + b6440
       + b6493 + b6500 + b6511 + b6539 + b6540 + b6552 + b6588 + b6609 + b6611
       + b6677 + b6685 + b6700 + b6756 + b6764 + b6797 + b6811 + b6831 + b6853
       + b6908 + b6953 + b6980 + b6987 + b6988 + b7003 + b7010 + b7043 + b7059
       + b7062 + b7071 + b7135 + b7156 + b7158 + b7200 + b7224 + b7245 + b7274
       + b7308 + b7334 + b7355 + b7395 + b7427 + b7434 + b7550 + b7565 + b7575
       + b7583 + b7585 + b7594 + b7608 + b7662 + b7678 + b7825 + b7844 + b7915
       + b7941 + b7947 + b7987 + b7992 + b8008 + b8025 + b8049 + b8181 + b8186
       + b8214 + b8226 + b8247 + b8268 + b8271 + b8289 + b8309 + b8334 + b8344
       + b8359 + b8369 + b8371 + b8379 + b8399 + b8400 + b8410 + b8424 + b8425
       + b8445 + b8449 + b8452 + b8454 + b8460 + b8476 + b8486 + b8554 + b8568
       + b8582 + b8608 + b8665 + b8674 + b8731 + b8741 + b8745 + b8752 + b8796
       + b8826 + b8830 + b8834 + b8835 + b8862 = 1;

e786:    b66 + b112 + b128 + b130 + b145 + b278 + b333 + b338 + b489 + b587
       + b603 + b616 + b632 + b647 + b722 + b756 + b790 + b861 + b905 + b936
       + b992 + b1168 + b1174 + b1190 + b1191 + b1240 + b1254 + b1257 + b1261
       + b1380 + b1445 + b1464 + b1546 + b1625 + b1628 + b1654 + b1703 + b1736
       + b1746 + b1759 + b1779 + b1797 + b1798 + b1815 + b1847 + b2070 + b2092
       + b2135 + b2148 + b2172 + b2214 + b2241 + b2259 + b2303 + b2395 + b2405
       + b2500 + b2513 + b2584 + b2589 + b2675 + b2685 + b2695 + b2719 + b2840
       + b2870 + b2894 + b2953 + b2983 + b3030 + b3091 + b3101 + b3115 + b3119
       + b3195 + b3220 + b3235 + b3396 + b3410 + b3432 + b3450 + b3474 + b3484
       + b3602 + b3692 + b3715 + b3825 + b3860 + b3873 + b3918 + b3926 + b4027
       + b4031 + b4081 + b4267 + b4286 + b4347 + b4384 + b4445 + b4448 + b4458
       + b4461 + b4490 + b4509 + b4544 + b4589 + b4645 + b4665 + b4686 + b4729
       + b4768 + b4786 + b4803 + b4811 + b4853 + b4899 + b4905 + b5008 + b5024
       + b5081 + b5140 + b5332 + b5358 + b5376 + b5444 + b5577 + b5585 + b5600
       + b5601 + b5610 + b5618 + b5692 + b5778 + b5876 + b5903 + b5952 + b6008
       + b6028 + b6061 + b6082 + b6098 + b6101 + b6133 + b6168 + b6171 + b6263
       + b6509 + b6534 + b6560 + b6677 + b6685 + b6700 + b6764 + b6797 + b6811
       + b6825 + b6831 + b6868 + b6963 + b7059 + b7062 + b7071 + b7135 + b7139
       + b7306 + b7327 + b7445 + b7485 + b7565 + b7575 + b7755 + b7826 + b7831
       + b7835 + b7844 + b7850 + b7859 + b8038 + b8123 + b8226 + b8259 + b8271
       + b8309 + b8317 + b8369 + b8400 + b8436 + b8445 + b8460 + b8476 + b8541
       + b8655 + b8786 + b8796 + b8813 = 1;

e787:    b128 + b130 + b145 + b278 + b333 + b338 + b489 + b587 + b603 + b722
       + b756 + b861 + b905 + b936 + b992 + b1168 + b1174 + b1190 + b1191
       + b1240 + b1254 + b1257 + b1261 + b1445 + b1464 + b1546 + b1625 + b1628
       + b1654 + b1703 + b1736 + b1739 + b1746 + b1759 + b1779 + b1798 + b1815
       + b1847 + b2135 + b2148 + b2214 + b2241 + b2303 + b2395 + b2405 + b2500
       + b2513 + b2584 + b2589 + b2675 + b2719 + b2840 + b2894 + b2953 + b2983
       + b3030 + b3091 + b3101 + b3115 + b3119 + b3195 + b3235 + b3396 + b3410
       + b3432 + b3450 + b3474 + b3484 + b3602 + b3715 + b3825 + b3873 + b3926
       + b4027 + b4081 + b4343 + b4347 + b4448 + b4458 + b4461 + b4509 + b4544
       + b4645 + b4686 + b4729 + b4768 + b4786 + b4803 + b4811 + b4905 + b5008
       + b5024 + b5140 + b5332 + b5358 + b5376 + b5577 + b5585 + b5610 + b5618
       + b5692 + b5876 + b5903 + b5952 + b6008 + b6028 + b6061 + b6082 + b6098
       + b6101 + b6133 + b6168 + b6171 + b6197 + b6263 + b6509 + b6534 + b6560
       + b6677 + b6685 + b6700 + b6811 + b6825 + b6831 + b6963 + b7059 + b7062
       + b7071 + b7135 + b7139 + b7445 + b7485 + b7565 + b7575 + b7595 + b7755
       + b7826 + b7831 + b7844 + b7850 + b7859 + b8226 + b8259 + b8271 + b8309
       + b8317 + b8445 + b8460 + b8476 + b8541 + b8786 + b8796 + b8813 = 1;

e788:    b3 + b66 + b67 + b83 + b94 + b162 + b504 + b542 + b632 + b682 + b813
       + b851 + b861 + b915 + b936 + b1026 + b1071 + b1097 + b1196 + b1201
       + b1257 + b1283 + b1308 + b1362 + b1423 + b1424 + b1480 + b1483 + b1495
       + b1527 + b1590 + b1596 + b1609 + b1654 + b1691 + b1739 + b1759 + b1798
       + b1815 + b1866 + b2121 + b2135 + b2140 + b2159 + b2166 + b2183 + b2214
       + b2268 + b2303 + b2329 + b2379 + b2405 + b2514 + b2596 + b2740 + b2894
       + b3119 + b3181 + b3182 + b3209 + b3282 + b3438 + b3474 + b3611 + b3715
       + b3782 + b3817 + b3825 + b3826 + b3846 + b3849 + b3881 + b3902 + b3926
       + b3935 + b3947 + b4031 + b4204 + b4247 + b4286 + b4347 + b4384 + b4455
       + b4461 + b4466 + b4476 + b4542 + b4564 + b4572 + b4686 + b4735 + b4829
       + b4905 + b4910 + b4965 + b5015 + b5039 + b5111 + b5144 + b5169 + b5225
       + b5274 + b5323 + b5332 + b5358 + b5367 + b5378 + b5389 + b5492 + b5524
       + b5577 + b5606 + b5714 + b5726 + b5755 + b5903 + b5990 + b6001 + b6006
       + b6008 + b6024 + b6038 + b6047 + b6061 + b6168 + b6284 + b6679 + b6700
       + b6752 + b6756 + b6764 + b6780 + b6853 + b6897 + b6908 + b6965 + b6989
       + b6998 + b7059 + b7071 + b7128 + b7135 + b7289 + b7327 + b7340 + b7346
       + b7464 + b7545 + b7575 + b7585 + b7640 + b7801 + b7859 + b7889 + b7990
       + b7992 + b8011 + b8066 + b8105 + b8213 + b8231 + b8260 + b8271 + b8371
       + b8452 + b8460 + b8486 + b8541 + b8711 + b8776 + b8779 + b8786 + b8796
       + b8813 + b8876 = 1;

e789:    b3 + b66 + b67 + b83 + b94 + b162 + b358 + b504 + b542 + b632 + b682
       + b813 + b851 + b861 + b915 + b936 + b1026 + b1071 + b1097 + b1196
       + b1201 + b1257 + b1283 + b1308 + b1362 + b1423 + b1424 + b1480 + b1483
       + b1495 + b1527 + b1571 + b1590 + b1596 + b1609 + b1654 + b1691 + b1739
       + b1759 + b1798 + b1815 + b1866 + b1977 + b2121 + b2135 + b2140 + b2159
       + b2166 + b2183 + b2214 + b2268 + b2303 + b2329 + b2379 + b2405 + b2514
       + b2528 + b2596 + b2740 + b2894 + b3015 + b3119 + b3181 + b3182 + b3209
       + b3282 + b3438 + b3474 + b3611 + b3715 + b3782 + b3817 + b3825 + b3826
       + b3846 + b3849 + b3881 + b3902 + b3926 + b3935 + b3947 + b4029 + b4031
       + b4204 + b4247 + b4286 + b4347 + b4384 + b4455 + b4461 + b4466 + b4476
       + b4542 + b4564 + b4572 + b4686 + b4735 + b4829 + b4905 + b4910 + b4965
       + b5015 + b5039 + b5111 + b5144 + b5169 + b5225 + b5274 + b5323 + b5332
       + b5358 + b5367 + b5378 + b5389 + b5492 + b5524 + b5577 + b5606 + b5714
       + b5726 + b5755 + b5782 + b5903 + b5990 + b6001 + b6006 + b6008 + b6024
       + b6038 + b6047 + b6061 + b6168 + b6215 + b6284 + b6679 + b6690 + b6700
       + b6708 + b6752 + b6756 + b6764 + b6780 + b6853 + b6897 + b6908 + b6965
       + b6989 + b6998 + b7003 + b7059 + b7071 + b7128 + b7135 + b7289 + b7327
       + b7340 + b7346 + b7464 + b7545 + b7575 + b7585 + b7640 + b7801 + b7859
       + b7889 + b7990 + b7992 + b8011 + b8066 + b8105 + b8213 + b8231 + b8260
       + b8271 + b8371 + b8452 + b8460 + b8486 + b8541 + b8711 + b8776 + b8779
       + b8786 + b8796 + b8813 + b8876 = 1;

e790:    b3 + b66 + b67 + b83 + b94 + b162 + b358 + b504 + b542 + b632 + b682
       + b699 + b721 + b813 + b851 + b861 + b915 + b936 + b1026 + b1071 + b1097
       + b1196 + b1201 + b1257 + b1283 + b1308 + b1362 + b1391 + b1423 + b1424
       + b1480 + b1483 + b1495 + b1527 + b1571 + b1590 + b1596 + b1609 + b1636
       + b1654 + b1691 + b1726 + b1739 + b1759 + b1798 + b1815 + b1866 + b1977
       + b2121 + b2135 + b2140 + b2159 + b2166 + b2175 + b2183 + b2214 + b2268
       + b2303 + b2329 + b2379 + b2405 + b2514 + b2528 + b2596 + b2636 + b2740
       + b2894 + b3015 + b3119 + b3181 + b3182 + b3209 + b3266 + b3282 + b3438
       + b3474 + b3611 + b3715 + b3782 + b3817 + b3825 + b3826 + b3846 + b3849
       + b3881 + b3902 + b3911 + b3926 + b3935 + b3947 + b3972 + b3997 + b4029
       + b4031 + b4204 + b4247 + b4286 + b4347 + b4384 + b4455 + b4461 + b4466
       + b4476 + b4542 + b4564 + b4572 + b4686 + b4735 + b4769 + b4829 + b4905
       + b4910 + b4965 + b5015 + b5039 + b5111 + b5144 + b5169 + b5225 + b5274
       + b5323 + b5332 + b5358 + b5367 + b5378 + b5389 + b5492 + b5524 + b5577
       + b5606 + b5714 + b5726 + b5755 + b5782 + b5990 + b6001 + b6006 + b6008
       + b6024 + b6038 + b6047 + b6061 + b6094 + b6168 + b6215 + b6284 + b6508
       + b6679 + b6690 + b6700 + b6708 + b6752 + b6756 + b6764 + b6780 + b6853
       + b6897 + b6908 + b6965 + b6984 + b6989 + b6998 + b7003 + b7059 + b7071
       + b7128 + b7135 + b7289 + b7327 + b7340 + b7346 + b7384 + b7464 + b7545
       + b7575 + b7585 + b7640 + b7801 + b7859 + b7889 + b7980 + b7990 + b7992
       + b8011 + b8022 + b8066 + b8105 + b8213 + b8231 + b8260 + b8271 + b8371
       + b8452 + b8460 + b8486 + b8541 + b8711 + b8776 + b8779 + b8786 + b8796
       + b8813 + b8824 + b8876 = 1;

e791:    b21 + b45 + b55 + b123 + b176 + b184 + b198 + b383 + b396 + b406
       + b465 + b467 + b512 + b628 + b637 + b660 + b695 + b762 + b771 + b840
       + b950 + b1085 + b1103 + b1248 + b1415 + b1422 + b1459 + b1479 + b1511
       + b1525 + b1527 + b1634 + b1658 + b1754 + b1765 + b1941 + b1998 + b2026
       + b2043 + b2049 + b2260 + b2310 + b2348 + b2361 + b2389 + b2420 + b2442
       + b2470 + b2509 + b2586 + b2620 + b2668 + b2708 + b2902 + b2927 + b2979
       + b3090 + b3111 + b3285 + b3289 + b3293 + b3315 + b3318 + b3331 + b3349
       + b3399 + b3429 + b3538 + b3689 + b3718 + b3738 + b3739 + b3751 + b3949
       + b4147 + b4224 + b4271 + b4322 + b4397 + b4454 + b4525 + b4597 + b4742
       + b4743 + b4823 + b4868 + b4919 + b4981 + b4984 + b5116 + b5150 + b5172
       + b5218 + b5220 + b5221 + b5370 + b5462 + b5686 + b5795 + b5796 + b5803
       + b5881 + b5894 + b5936 + b5949 + b5963 + b5972 + b6151 + b6295 + b6382
       + b6407 + b6412 + b6467 + b6490 + b6502 + b6514 + b6701 + b6722 + b6754
       + b6759 + b6789 + b6919 + b6969 + b7038 + b7039 + b7074 + b7167 + b7198
       + b7345 + b7385 + b7437 + b7519 + b7651 + b7723 + b7729 + b7753 + b7754
       + b7768 + b7813 + b7824 + b7849 + b7870 + b7928 + b7951 + b8058 + b8102
       + b8241 + b8337 + b8390 + b8404 + b8517 + b8545 + b8560 + b8562 + b8633
       + b8727 + b8801 + b8859 = 1;

e792:    b21 + b45 + b55 + b123 + b176 + b184 + b198 + b383 + b396 + b406
       + b465 + b467 + b628 + b637 + b660 + b681 + b695 + b762 + b771 + b840
       + b950 + b1085 + b1103 + b1415 + b1422 + b1459 + b1479 + b1511 + b1525
       + b1634 + b1658 + b1754 + b1765 + b1941 + b1998 + b2026 + b2043 + b2049
       + b2310 + b2348 + b2361 + b2389 + b2420 + b2442 + b2470 + b2509 + b2586
       + b2620 + b2668 + b2708 + b2902 + b2927 + b2979 + b3090 + b3111 + b3293
       + b3315 + b3318 + b3331 + b3349 + b3399 + b3429 + b3538 + b3689 + b3718
       + b3738 + b3739 + b3751 + b3949 + b4147 + b4224 + b4271 + b4322 + b4397
       + b4454 + b4525 + b4597 + b4742 + b4743 + b4823 + b4868 + b4981 + b4984
       + b5116 + b5150 + b5172 + b5218 + b5220 + b5221 + b5370 + b5462 + b5686
       + b5795 + b5796 + b5803 + b5881 + b5894 + b5936 + b5949 + b5963 + b5972
       + b6151 + b6295 + b6382 + b6407 + b6412 + b6467 + b6490 + b6502 + b6514
       + b6701 + b6722 + b6754 + b6759 + b6789 + b6919 + b6969 + b7038 + b7039
       + b7074 + b7167 + b7198 + b7341 + b7345 + b7385 + b7437 + b7519 + b7651
       + b7723 + b7729 + b7753 + b7754 + b7768 + b7813 + b7824 + b7870 + b7928
       + b7951 + b8058 + b8102 + b8241 + b8337 + b8390 + b8404 + b8517 + b8545
       + b8560 + b8633 + b8713 + b8727 + b8801 + b8859 = 1;

e793:    b21 + b45 + b47 + b55 + b123 + b144 + b160 + b176 + b186 + b383 + b396
       + b406 + b467 + b615 + b672 + b695 + b771 + b840 + b1233 + b1401 + b1511
       + b1525 + b1581 + b1629 + b1658 + b1822 + b1892 + b1941 + b1998 + b2014
       + b2026 + b2046 + b2163 + b2310 + b2348 + b2389 + b2470 + b2586 + b2622
       + b2661 + b2668 + b2830 + b2871 + b2917 + b2923 + b3148 + b3239 + b3285
       + b3293 + b3315 + b3318 + b3325 + b3331 + b3389 + b3399 + b3442 + b3538
       + b3630 + b3668 + b3689 + b3914 + b3949 + b4002 + b4147 + b4271 + b4397
       + b4454 + b4525 + b4548 + b4634 + b4731 + b4826 + b4868 + b5091 + b5092
       + b5109 + b5114 + b5116 + b5172 + b5183 + b5201 + b5218 + b5220 + b5318
       + b5331 + b5370 + b5514 + b5788 + b5795 + b5827 + b5881 + b5936 + b6313
       + b6360 + b6490 + b6722 + b6735 + b6754 + b6839 + b6919 + b6958 + b6969
       + b7023 + b7069 + b7074 + b7167 + b7198 + b7273 + b7283 + b7385 + b7519
       + b7723 + b7728 + b7752 + b7757 + b7870 + b8078 + b8083 + b8139 + b8241
       + b8279 + b8502 + b8517 + b8537 + b8545 + b8548 + b8727 + b8801 + b8835
       + b8859 = 1;

e794:    b21 + b45 + b47 + b55 + b123 + b144 + b160 + b176 + b186 + b383 + b396
       + b406 + b467 + b615 + b672 + b695 + b771 + b840 + b1233 + b1401 + b1511
       + b1525 + b1581 + b1629 + b1658 + b1822 + b1892 + b1941 + b1998 + b2014
       + b2026 + b2046 + b2163 + b2310 + b2348 + b2389 + b2586 + b2622 + b2661
       + b2668 + b2830 + b2871 + b2917 + b2923 + b3148 + b3239 + b3285 + b3293
       + b3315 + b3318 + b3325 + b3331 + b3389 + b3399 + b3442 + b3538 + b3668
       + b3689 + b3914 + b3949 + b4002 + b4147 + b4271 + b4397 + b4454 + b4525
       + b4548 + b4634 + b4731 + b4826 + b4868 + b5091 + b5092 + b5109 + b5114
       + b5116 + b5172 + b5183 + b5201 + b5218 + b5220 + b5318 + b5331 + b5370
       + b5514 + b5788 + b5795 + b5827 + b5881 + b5936 + b6313 + b6360 + b6490
       + b6722 + b6735 + b6754 + b6839 + b6919 + b6958 + b6969 + b7023 + b7069
       + b7074 + b7167 + b7198 + b7273 + b7283 + b7385 + b7519 + b7723 + b7728
       + b7752 + b7757 + b7870 + b8078 + b8083 + b8139 + b8241 + b8279 + b8502
       + b8517 + b8537 + b8545 + b8548 + b8727 + b8801 + b8835 + b8859 = 1;

e795:    b21 + b55 + b123 + b144 + b176 + b186 + b303 + b363 + b383 + b406
       + b615 + b660 + b672 + b679 + b681 + b695 + b709 + b711 + b757 + b840
       + b950 + b1015 + b1103 + b1224 + b1233 + b1581 + b1634 + b1658 + b1763
       + b1765 + b1822 + b1874 + b1892 + b1899 + b1998 + b2014 + b2026 + b2163
       + b2306 + b2348 + b2389 + b2410 + b2428 + b2507 + b2509 + b2586 + b2622
       + b2630 + b2871 + b2923 + b2930 + b3019 + b3239 + b3285 + b3287 + b3293
       + b3304 + b3318 + b3325 + b3331 + b3343 + b3389 + b3442 + b3455 + b3538
       + b3609 + b3668 + b3706 + b3739 + b3755 + b3781 + b3914 + b3949 + b3953
       + b3959 + b3988 + b4002 + b4397 + b4454 + b4548 + b4593 + b4597 + b4601
       + b4634 + b4702 + b4731 + b4784 + b5091 + b5092 + b5114 + b5116 + b5131
       + b5172 + b5192 + b5218 + b5258 + b5282 + b5360 + b5370 + b5408 + b5462
       + b5490 + b5514 + b5529 + b5537 + b5638 + b5788 + b5795 + b5799 + b5803
       + b5810 + b5881 + b5962 + b6235 + b6313 + b6360 + b6412 + b6424 + b6490
       + b6546 + b6754 + b6759 + b6789 + b6820 + b6839 + b6946 + b6958 + b6969
       + b7023 + b7026 + b7155 + b7203 + b7273 + b7345 + b7372 + b7385 + b7403
       + b7411 + b7450 + b7474 + b7723 + b7728 + b7729 + b7752 + b7757 + b7768
       + b7870 + b7951 + b8035 + b8058 + b8241 + b8337 + b8430 + b8502 + b8517
       + b8537 + b8545 + b8548 + b8647 + b8727 + b8835 = 1;

e796:    b21 + b47 + b55 + b65 + b123 + b144 + b160 + b176 + b186 + b303 + b363
       + b383 + b406 + b615 + b660 + b672 + b679 + b681 + b695 + b709 + b711
       + b757 + b840 + b950 + b1015 + b1103 + b1224 + b1233 + b1352 + b1581
       + b1634 + b1658 + b1763 + b1765 + b1822 + b1874 + b1892 + b1899 + b1998
       + b2014 + b2026 + b2163 + b2302 + b2306 + b2348 + b2361 + b2389 + b2428
       + b2507 + b2509 + b2586 + b2622 + b2630 + b2871 + b2923 + b2930 + b2981
       + b3019 + b3239 + b3285 + b3287 + b3293 + b3304 + b3318 + b3325 + b3331
       + b3343 + b3389 + b3442 + b3455 + b3538 + b3609 + b3668 + b3706 + b3739
       + b3755 + b3781 + b3914 + b3949 + b3953 + b3959 + b3988 + b4002 + b4397
       + b4454 + b4525 + b4548 + b4597 + b4601 + b4634 + b4702 + b4731 + b4784
       + b5091 + b5092 + b5114 + b5116 + b5131 + b5172 + b5192 + b5218 + b5258
       + b5282 + b5360 + b5370 + b5408 + b5462 + b5490 + b5514 + b5529 + b5537
       + b5638 + b5788 + b5795 + b5799 + b5803 + b5810 + b5881 + b5962 + b6235
       + b6313 + b6360 + b6412 + b6424 + b6490 + b6546 + b6735 + b6754 + b6759
       + b6789 + b6820 + b6839 + b6946 + b6958 + b6969 + b7023 + b7026 + b7155
       + b7167 + b7203 + b7207 + b7273 + b7345 + b7372 + b7385 + b7403 + b7411
       + b7450 + b7723 + b7728 + b7729 + b7752 + b7757 + b7768 + b7870 + b7951
       + b8035 + b8058 + b8078 + b8241 + b8337 + b8430 + b8502 + b8517 + b8537
       + b8545 + b8548 + b8647 + b8727 + b8835 = 1;

e797:    b21 + b47 + b55 + b65 + b123 + b144 + b160 + b176 + b186 + b303 + b363
       + b383 + b406 + b615 + b660 + b672 + b679 + b681 + b695 + b709 + b711
       + b757 + b840 + b950 + b1015 + b1103 + b1224 + b1233 + b1352 + b1581
       + b1605 + b1634 + b1658 + b1763 + b1765 + b1822 + b1874 + b1892 + b1899
       + b1998 + b2014 + b2026 + b2163 + b2302 + b2306 + b2348 + b2361 + b2389
       + b2428 + b2507 + b2509 + b2586 + b2622 + b2630 + b2871 + b2923 + b2930
       + b2981 + b3019 + b3239 + b3285 + b3287 + b3293 + b3318 + b3325 + b3331
       + b3343 + b3389 + b3442 + b3455 + b3538 + b3609 + b3630 + b3668 + b3706
       + b3739 + b3755 + b3781 + b3914 + b3949 + b3953 + b3959 + b3988 + b4002
       + b4397 + b4454 + b4525 + b4548 + b4597 + b4601 + b4634 + b4702 + b4731
       + b4784 + b5091 + b5092 + b5114 + b5116 + b5131 + b5172 + b5192 + b5218
       + b5224 + b5258 + b5282 + b5360 + b5370 + b5408 + b5462 + b5490 + b5514
       + b5529 + b5537 + b5638 + b5788 + b5795 + b5799 + b5803 + b5809 + b5810
       + b5881 + b5962 + b6118 + b6235 + b6313 + b6360 + b6412 + b6424 + b6490
       + b6546 + b6735 + b6754 + b6759 + b6789 + b6820 + b6839 + b6946 + b6958
       + b6969 + b7023 + b7026 + b7155 + b7167 + b7203 + b7207 + b7273 + b7345
       + b7372 + b7385 + b7403 + b7411 + b7450 + b7723 + b7728 + b7729 + b7752
       + b7757 + b7768 + b7870 + b7951 + b8035 + b8058 + b8078 + b8241 + b8279
       + b8337 + b8430 + b8502 + b8517 + b8537 + b8545 + b8548 + b8647 + b8727
       + b8835 = 1;

e798:    b21 + b45 + b65 + b93 + b144 + b303 + b363 + b406 + b465 + b628 + b660
       + b681 + b771 + b782 + b893 + b950 + b1015 + b1103 + b1224 + b1319
       + b1352 + b1415 + b1634 + b1754 + b1763 + b1941 + b2302 + b2306 + b2348
       + b2361 + b2372 + b2428 + b2455 + b2494 + b2509 + b2586 + b2593 + b2620
       + b2622 + b2630 + b2650 + b2668 + b2708 + b2902 + b2927 + b2979 + b3111
       + b3287 + b3331 + b3389 + b3429 + b3442 + b3455 + b3610 + b3751 + b3785
       + b3949 + b3953 + b3996 + b4020 + b4110 + b4525 + b4601 + b4634 + b4743
       + b4784 + b4823 + b4868 + b5092 + b5150 + b5172 + b5218 + b5282 + b5370
       + b5408 + b5443 + b5638 + b5795 + b5796 + b5803 + b5894 + b6118 + b6235
       + b6295 + b6313 + b6407 + b6412 + b6424 + b6490 + b6514 + b6716 + b6759
       + b6789 + b6791 + b6839 + b6958 + b7038 + b7039 + b7060 + b7155 + b7203
       + b7299 + b7341 + b7345 + b7403 + b7437 + b7723 + b7729 + b7814 + b7870
       + b8035 + b8058 + b8063 + b8078 + b8343 + b8362 + b8390 + b8404 + b8517
       + b8537 + b8633 + b8713 + b8859 = 1;

e799:    b21 + b45 + b55 + b65 + b93 + b144 + b160 + b176 + b191 + b396 + b512
       + b615 + b660 + b771 + b782 + b893 + b950 + b1015 + b1103 + b1224
       + b1248 + b1319 + b1415 + b1511 + b1525 + b1527 + b1634 + b1754 + b1763
       + b1941 + b2260 + b2302 + b2348 + b2372 + b2455 + b2494 + b2509 + b2524
       + b2593 + b2622 + b2650 + b2668 + b2708 + b2871 + b2927 + b2979 + b2980
       + b3111 + b3148 + b3287 + b3289 + b3318 + b3331 + b3389 + b3429 + b3442
       + b3455 + b3610 + b3689 + b3706 + b3750 + b3751 + b3778 + b3785 + b3949
       + b3953 + b3959 + b3996 + b4020 + b4110 + b4525 + b4601 + b4634 + b4743
       + b4784 + b4868 + b4919 + b5092 + b5116 + b5150 + b5172 + b5218 + b5282
       + b5318 + b5331 + b5370 + b5408 + b5443 + b5638 + b5795 + b5796 + b5805
       + b5894 + b6118 + b6174 + b6295 + b6313 + b6407 + b6514 + b6716 + b6789
       + b6791 + b6839 + b6958 + b7038 + b7060 + b7273 + b7437 + b7729 + b7814
       + b7849 + b7870 + b8035 + b8058 + b8063 + b8139 + b8343 + b8390 + b8404
       + b8430 + b8517 + b8537 + b8548 + b8633 + b8859 = 1;

e800:    b21 + b45 + b65 + b123 + b144 + b160 + b176 + b367 + b396 + b615
       + b681 + b709 + b752 + b893 + b1034 + b1248 + b1280 + b1319 + b1382
       + b1415 + b1422 + b1435 + b1527 + b1763 + b1822 + b1874 + b1923 + b1941
       + b2163 + b2285 + b2302 + b2310 + b2372 + b2389 + b2455 + b2494 + b2509
       + b2593 + b2622 + b2641 + b2668 + b2708 + b2871 + b2902 + b2927 + b2979
       + b2980 + b3287 + b3289 + b3318 + b3389 + b3429 + b3455 + b3569 + b3610
       + b3689 + b3755 + b3905 + b3959 + b3988 + b3996 + b4020 + b4110 + b4600
       + b4743 + b4802 + b4868 + b4877 + b4919 + b4926 + b5092 + b5218 + b5331
       + b5408 + b5443 + b5795 + b5799 + b5881 + b5912 + b5963 + b6118 + b6156
       + b6236 + b6248 + b6313 + b6514 + b6651 + b6789 + b6800 + b6806 + b6958
       + b6984 + b7040 + b7060 + b7074 + b7102 + b7123 + b7203 + b7263 + b7345
       + b7411 + b7437 + b7450 + b7520 + b7647 + b7814 + b7849 + b7921 + b8035
       + b8056 + b8058 + b8063 + b8139 + b8223 + b8343 + b8385 + b8404 + b8502
       + b8537 + b8633 + b8759 = 1;

e801:    b21 + b45 + b65 + b123 + b144 + b160 + b176 + b367 + b396 + b615
       + b681 + b709 + b752 + b893 + b1034 + b1248 + b1280 + b1319 + b1382
       + b1415 + b1422 + b1435 + b1527 + b1763 + b1822 + b1874 + b1923 + b1941
       + b2163 + b2285 + b2302 + b2310 + b2372 + b2389 + b2455 + b2494 + b2509
       + b2593 + b2622 + b2641 + b2668 + b2708 + b2871 + b2902 + b2927 + b2979
       + b2980 + b3287 + b3289 + b3318 + b3389 + b3429 + b3455 + b3569 + b3610
       + b3689 + b3755 + b3905 + b3959 + b3988 + b3996 + b4020 + b4110 + b4600
       + b4743 + b4802 + b4868 + b4877 + b4919 + b4926 + b5092 + b5218 + b5331
       + b5408 + b5443 + b5795 + b5799 + b5881 + b5912 + b5963 + b6118 + b6156
       + b6236 + b6248 + b6313 + b6514 + b6651 + b6789 + b6800 + b6806 + b6958
       + b6984 + b7040 + b7060 + b7074 + b7102 + b7123 + b7203 + b7263 + b7345
       + b7411 + b7437 + b7450 + b7520 + b7647 + b7814 + b7849 + b7921 + b8035
       + b8056 + b8058 + b8063 + b8139 + b8223 + b8343 + b8385 + b8404 + b8502
       + b8537 + b8633 + b8759 = 1;

e802:    b258 + b626 + b637 + b983 + b1139 + b1193 + b1393 + b1528 + b1541
       + b1720 + b2015 + b2116 + b2266 + b2419 + b2800 + b2931 + b3166 + b3291
       + b3303 + b3305 + b3332 + b3372 + b3585 + b3613 + b3627 + b3666 + b4063
       + b4070 + b4084 + b4088 + b4187 + b4280 + b4350 + b4367 + b4507 + b4613
       + b4626 + b4703 + b4875 + b5009 + b5045 + b5153 + b5411 + b5455 + b5473
       + b5824 + b5918 + b6094 + b6166 + b6393 + b6447 + b6487 + b6508 + b6800
       + b6804 + b7017 + b7222 + b7342 + b7374 + b7429 + b7693 + b7776 + b7779
       + b7921 + b7973 + b8025 + b8080 + b8101 + b8409 + b8465 + b8493 + b8612
       + b8635 + b8729 + b8816 + b8869 = 1;

e803:    b626 + b637 + b983 + b1139 + b1193 + b1393 + b1528 + b1541 + b1720
       + b2015 + b2266 + b2419 + b2800 + b2931 + b3166 + b3291 + b3372 + b3585
       + b3613 + b3627 + b3666 + b4063 + b4070 + b4084 + b4088 + b4187 + b4280
       + b4350 + b4367 + b4507 + b4613 + b4626 + b4703 + b4875 + b5009 + b5045
       + b5153 + b5455 + b5473 + b5824 + b5918 + b6094 + b6508 + b6800 + b7017
       + b7222 + b7342 + b7374 + b7429 + b7776 + b7921 + b7973 + b8080 + b8101
       + b8465 + b8493 + b8729 + b8816 + b8869 = 1;

e804:    b626 + b637 + b983 + b1139 + b1193 + b1393 + b1528 + b1541 + b1720
       + b2015 + b2266 + b2419 + b2800 + b2931 + b3166 + b3291 + b3372 + b3585
       + b3613 + b3627 + b3666 + b4063 + b4070 + b4084 + b4088 + b4187 + b4280
       + b4350 + b4367 + b4507 + b4613 + b4626 + b4703 + b4875 + b5009 + b5045
       + b5153 + b5455 + b5473 + b5824 + b5918 + b6094 + b6508 + b6800 + b7017
       + b7222 + b7342 + b7374 + b7429 + b7776 + b7921 + b7973 + b8080 + b8101
       + b8465 + b8493 + b8729 + b8816 + b8869 = 1;

e805:    b258 + b626 + b637 + b983 + b1139 + b1193 + b1393 + b1528 + b1541
       + b1720 + b2015 + b2116 + b2266 + b2419 + b2800 + b2931 + b3166 + b3291
       + b3303 + b3305 + b3332 + b3372 + b3585 + b3613 + b3627 + b3666 + b4063
       + b4070 + b4084 + b4088 + b4187 + b4280 + b4350 + b4367 + b4507 + b4613
       + b4626 + b4703 + b4875 + b5009 + b5045 + b5153 + b5411 + b5455 + b5473
       + b5824 + b5918 + b6094 + b6166 + b6393 + b6487 + b6508 + b6800 + b6804
       + b7017 + b7222 + b7342 + b7374 + b7429 + b7693 + b7776 + b7779 + b7921
       + b7973 + b8025 + b8080 + b8101 + b8409 + b8465 + b8493 + b8612 + b8635
       + b8729 + b8816 + b8869 = 1;

e806:    b225 + b258 + b299 + b467 + b524 + b626 + b637 + b1023 + b1037 + b1139
       + b1193 + b1327 + b1393 + b2227 + b2399 + b2419 + b2752 + b2800 + b2801
       + b2940 + b3158 + b3281 + b3332 + b3372 + b3562 + b3905 + b4084 + b4350
       + b4507 + b4626 + b4698 + b4981 + b4984 + b5045 + b5334 + b5445 + b5473
       + b5918 + b5966 + b6151 + b6710 + b6800 + b7031 + b7032 + b7198 + b7271
       + b7342 + b7747 + b7921 + b7973 + b8327 + b8350 + b8385 + b8477 + b8612
       + b8729 = 1;

e807:    b225 + b258 + b299 + b467 + b524 + b626 + b637 + b1023 + b1037 + b1139
       + b1193 + b1327 + b1393 + b2227 + b2399 + b2419 + b2800 + b2801 + b2940
       + b3158 + b3281 + b3332 + b3372 + b3562 + b3905 + b4084 + b4350 + b4507
       + b4626 + b4698 + b4981 + b5045 + b5334 + b5445 + b5473 + b5918 + b5966
       + b6151 + b6710 + b6800 + b7031 + b7032 + b7271 + b7342 + b7747 + b7973
       + b8327 + b8350 + b8477 + b8612 + b8729 = 1;

e808:    b225 + b258 + b299 + b352 + b359 + b368 + b467 + b524 + b626 + b637
       + b1023 + b1037 + b1139 + b1173 + b1193 + b1218 + b1327 + b1393 + b2227
       + b2399 + b2419 + b2638 + b2648 + b2800 + b2801 + b2940 + b3281 + b3332
       + b3372 + b3562 + b3882 + b3905 + b4084 + b4350 + b4507 + b4626 + b4698
       + b4981 + b5045 + b5445 + b5473 + b5624 + b5918 + b6048 + b6151 + b6710
       + b6800 + b7017 + b7031 + b7032 + b7271 + b7342 + b7379 + b7747 + b7973
       + b8327 + b8350 + b8612 + b8729 = 1;

e809:    b106 + b299 + b1022 + b1023 + b1139 + b1327 + b1393 + b1748 + b2227
       + b2399 + b2419 + b2858 + b2931 + b2940 + b3372 + b3398 + b3562 + b3882
       + b3953 + b3979 + b4272 + b4389 + b4507 + b5811 + b6472 + b7020 + b7031
       + b7032 + b7271 + b7354 + b7668 + b7693 + b7710 + b7747 + b7767 + b8203
       + b8327 + b8350 + b8612 + b8722 + b8765 = 1;

e810:    b106 + b299 + b1022 + b1023 + b1139 + b1327 + b1393 + b1726 + b1748
       + b2227 + b2399 + b2419 + b2858 + b2931 + b2940 + b3372 + b3398 + b3562
       + b3882 + b3953 + b3972 + b3979 + b4272 + b4328 + b4389 + b4507 + b5811
       + b6472 + b6487 + b6617 + b7020 + b7031 + b7032 + b7271 + b7354 + b7668
       + b7693 + b7747 + b7767 + b8203 + b8327 + b8350 + b8612 + b8765 = 1;

e811:    b359 + b428 + b556 + b700 + b735 + b880 + b1384 + b1400 + b1456
       + b1476 + b1579 + b1670 + b1751 + b1772 + b2072 + b2076 + b2139 + b2208
       + b2217 + b2220 + b2458 + b2648 + b2942 + b2964 + b2973 + b3125 + b3143
       + b3160 + b3628 + b3649 + b3671 + b4005 + b4040 + b4159 + b4293 + b4385
       + b4539 + b4796 + b4801 + b4941 + b5213 + b5261 + b5368 + b5384 + b5769
       + b5862 + b5873 + b6011 + b6123 + b6139 + b6192 + b6216 + b6226 + b6463
       + b6547 + b6631 + b6740 + b6837 + b6962 + b7269 + b7297 + b7337 + b7520
       + b7649 + b7664 + b8009 + b8057 + b8088 + b8104 + b8137 + b8262 + b8308
       + b8374 + b8411 + b8666 + b8721 + b8790 = 1;

e812:    b86 + b210 + b359 + b556 + b700 + b735 + b880 + b1384 + b1476 + b1579
       + b1670 + b1751 + b1772 + b2072 + b2076 + b2139 + b2208 + b2217 + b2220
       + b2312 + b2394 + b2458 + b2648 + b2674 + b2942 + b2964 + b2973 + b3125
       + b3143 + b3160 + b3649 + b3671 + b4005 + b4040 + b4159 + b4293 + b4385
       + b4539 + b4796 + b4801 + b4941 + b5213 + b5261 + b5368 + b5384 + b5769
       + b5873 + b6011 + b6123 + b6139 + b6192 + b6216 + b6226 + b6463 + b6547
       + b6631 + b6740 + b6773 + b6837 + b6962 + b7269 + b7297 + b7337 + b7520
       + b7649 + b7664 + b8057 + b8076 + b8088 + b8104 + b8137 + b8262 + b8374
       + b8411 + b8666 + b8721 + b8790 = 1;

e813:    b63 + b210 + b556 + b581 + b700 + b735 + b880 + b881 + b914 + b1384
       + b1476 + b1579 + b1751 + b1772 + b1947 + b2032 + b2072 + b2076 + b2139
       + b2208 + b2217 + b2220 + b2458 + b2648 + b2673 + b2689 + b2942 + b2964
       + b3143 + b3158 + b3159 + b3160 + b3472 + b3495 + b3649 + b4005 + b4006
       + b4040 + b4053 + b4067 + b4103 + b4159 + b4539 + b4572 + b4646 + b4801
       + b4941 + b5021 + b5213 + b5322 + b5334 + b5769 + b5966 + b6011 + b6193
       + b6216 + b6253 + b6311 + b6383 + b6547 + b6631 + b6740 + b6780 + b6812
       + b6837 + b6962 + b7098 + b7195 + b7297 + b7337 + b7520 + b7541 + b7598
       + b7601 + b7649 + b7664 + b8057 + b8088 + b8104 + b8260 + b8374 + b8401
       + b8411 + b8495 + b8572 + b8663 + b8666 + b8721 + b8746 + b8790 = 1;

e814:    b210 + b556 + b581 + b700 + b735 + b880 + b881 + b914 + b1384 + b1476
       + b1579 + b1751 + b1772 + b1947 + b2032 + b2072 + b2076 + b2139 + b2208
       + b2217 + b2220 + b2263 + b2286 + b2458 + b2648 + b2673 + b2689 + b2964
       + b3143 + b3158 + b3159 + b3160 + b3472 + b3495 + b3649 + b4005 + b4006
       + b4040 + b4067 + b4103 + b4159 + b4483 + b4539 + b4572 + b4801 + b4941
       + b5021 + b5322 + b5334 + b5356 + b5769 + b5966 + b6011 + b6193 + b6216
       + b6253 + b6311 + b6383 + b6547 + b6631 + b6740 + b6780 + b6812 + b6837
       + b6962 + b7098 + b7195 + b7297 + b7337 + b7520 + b7541 + b7598 + b7601
       + b7649 + b7664 + b8057 + b8088 + b8104 + b8260 + b8374 + b8401 + b8411
       + b8495 + b8572 + b8663 + b8666 + b8721 + b8746 + b8790 = 1;

e815:    b196 + b208 + b210 + b359 + b556 + b581 + b700 + b735 + b880 + b914
       + b1384 + b1409 + b1573 + b1579 + b1751 + b1947 + b2032 + b2072 + b2139
       + b2217 + b2263 + b2280 + b2458 + b2492 + b2648 + b2673 + b2686 + b2964
       + b2973 + b3125 + b3158 + b3159 + b3495 + b4006 + b4067 + b4103 + b4539
       + b4572 + b4713 + b4748 + b4801 + b4888 + b4941 + b4962 + b5021 + b5301
       + b5334 + b5368 + b5924 + b5966 + b5977 + b6193 + b6216 + b6311 + b6631
       + b6740 + b6837 + b6962 + b7098 + b7111 + b7195 + b7541 + b7601 + b7649
       + b7664 + b8088 + b8260 + b8374 + b8411 + b8477 + b8495 + b8572 + b8663
       + b8666 + b8721 + b8746 = 1;

e816:    b196 + b208 + b210 + b359 + b556 + b569 + b700 + b735 + b880 + b889
       + b914 + b1384 + b1409 + b1573 + b1579 + b1593 + b1751 + b1947 + b2032
       + b2072 + b2139 + b2217 + b2263 + b2280 + b2435 + b2458 + b2492 + b2648
       + b2686 + b2964 + b2973 + b3125 + b3158 + b3159 + b3495 + b3865 + b4006
       + b4539 + b4572 + b4713 + b4748 + b4801 + b4888 + b4941 + b4962 + b5096
       + b5301 + b5334 + b5368 + b5924 + b5966 + b5977 + b6075 + b6193 + b6216
       + b6311 + b6437 + b6631 + b6740 + b6837 + b6962 + b7098 + b7111 + b7195
       + b7541 + b7546 + b7601 + b7649 + b7664 + b8088 + b8260 + b8374 + b8411
       + b8477 + b8495 + b8572 + b8663 + b8666 + b8721 + b8746 = 1;

e817:    b127 + b208 + b210 + b357 + b359 + b380 + b389 + b408 + b412 + b428
       + b430 + b537 + b556 + b569 + b634 + b700 + b880 + b889 + b914 + b926
       + b1036 + b1129 + b1384 + b1409 + b1442 + b1456 + b1573 + b1579 + b1593
       + b1670 + b1751 + b1909 + b2072 + b2076 + b2117 + b2139 + b2217 + b2263
       + b2317 + b2408 + b2458 + b2572 + b2616 + b2645 + b2648 + b2687 + b2755
       + b2973 + b3125 + b3158 + b3159 + b3577 + b3628 + b3671 + b3865 + b4040
       + b4250 + b4293 + b4505 + b4539 + b4572 + b4713 + b4748 + b4801 + b4867
       + b4941 + b4954 + b5068 + b5096 + b5279 + b5334 + b5352 + b5368 + b5406
       + b5457 + b5466 + b5727 + b5730 + b5862 + b5873 + b5924 + b5966 + b6011
       + b6075 + b6226 + b6311 + b6631 + b6740 + b7029 + b7033 + b7098 + b7111
       + b7541 + b7546 + b7649 + b8088 + b8104 + b8260 + b8262 + b8308 + b8411
       + b8450 + b8477 + b8495 + b8650 + b8663 + b8666 + b8766 + b8790 = 1;

e818:    b107 + b127 + b208 + b210 + b359 + b380 + b389 + b408 + b412 + b428
       + b430 + b537 + b556 + b569 + b634 + b700 + b880 + b889 + b914 + b926
       + b1036 + b1129 + b1384 + b1409 + b1442 + b1456 + b1573 + b1579 + b1593
       + b1670 + b1751 + b2072 + b2076 + b2117 + b2139 + b2217 + b2263 + b2290
       + b2317 + b2408 + b2458 + b2572 + b2616 + b2645 + b2648 + b2687 + b2755
       + b2973 + b3118 + b3125 + b3158 + b3159 + b3628 + b3671 + b3865 + b4040
       + b4250 + b4293 + b4530 + b4539 + b4572 + b4713 + b4748 + b4801 + b4825
       + b4867 + b4941 + b4954 + b5068 + b5096 + b5279 + b5312 + b5334 + b5352
       + b5368 + b5406 + b5466 + b5730 + b5862 + b5873 + b5920 + b5924 + b5951
       + b5966 + b6011 + b6075 + b6226 + b6311 + b6631 + b6740 + b7029 + b7098
       + b7111 + b7541 + b7546 + b7649 + b8088 + b8104 + b8260 + b8262 + b8308
       + b8411 + b8450 + b8477 + b8495 + b8650 + b8663 + b8666 + b8790 = 1;

e819:    b39 + b100 + b188 + b193 + b265 + b326 + b342 + b421 + b429 + b536
       + b544 + b577 + b728 + b842 + b969 + b970 + b985 + b1126 + b1236 + b1390
       + b1457 + b1574 + b1645 + b1677 + b1767 + b1846 + b1891 + b1901 + b1925
       + b1945 + b2030 + b2044 + b2131 + b2326 + b2445 + b2574 + b2588 + b2615
       + b2635 + b2771 + b2807 + b2831 + b2875 + b2945 + b3023 + b3026 + b3064
       + b3212 + b3213 + b3245 + b3435 + b3469 + b3480 + b3518 + b3521 + b3624
       + b3729 + b3761 + b4047 + b4062 + b4217 + b4858 + b4963 + b4992 + b5159
       + b5217 + b5246 + b5335 + b5423 + b5446 + b5590 + b5621 + b5642 + b5678
       + b5777 + b5830 + b5891 + b5926 + b6029 + b6067 + b6087 + b6293 + b6346
       + b6347 + b6451 + b6542 + b6616 + b6630 + b6670 + b6890 + b6973 + b7036
       + b7076 + b7215 + b7220 + b7502 + b7580 + b7590 + b7614 + b7674 + b7732
       + b7749 + b7789 + b7864 + b7888 + b7893 + b7943 + b7999 + b8065 + b8202
       + b8233 + b8280 + b8306 + b8351 + b8583 + b8667 + b8706 + b8841 + b8868
       = 1;

e820:    b39 + b188 + b415 + b536 + b539 + b544 + b577 + b643 + b684 + b728
       + b969 + b970 + b985 + b1126 + b1375 + b1457 + b1677 + b1776 + b1846
       + b1980 + b2001 + b2030 + b2044 + b2131 + b2431 + b2465 + b2501 + b2615
       + b2635 + b2771 + b2807 + b2831 + b2875 + b3175 + b3193 + b3213 + b3228
       + b3393 + b3469 + b3624 + b3884 + b4047 + b4117 + b4214 + b4217 + b4437
       + b4858 + b4963 + b4992 + b5217 + b5423 + b5446 + b5495 + b5621 + b5905
       + b6029 + b6067 + b6240 + b6293 + b6451 + b6501 + b6542 + b6616 + b6630
       + b6883 + b7064 + b7215 + b7220 + b7243 + b7542 + b7590 + b7614 + b7674
       + b7732 + b7749 + b7798 + b7888 + b7943 + b8029 + b8233 + b8397 + b8682
       + b8836 + b8841 = 1;

e821:    b12 + b266 + b353 + b438 + b517 + b530 + b1001 + b1051 + b1141 + b1583
       + b1668 + b2392 + b2443 + b2693 + b2797 + b3169 + b3289 + b4242 + b4277
       + b4348 + b4603 + b4734 + b4820 + b5481 + b5557 + b5683 + b6935 + b7113
       + b7153 + b7457 = 1;

e822:    b12 + b266 + b353 + b438 + b465 + b517 + b530 + b1001 + b1051 + b1141
       + b1583 + b1668 + b2392 + b2443 + b2693 + b2797 + b3169 + b3289 + b3508
       + b4221 + b4242 + b4277 + b4348 + b4430 + b4603 + b4734 + b4820 + b5481
       + b5557 + b5683 + b6232 + b6935 + b7113 + b7153 + b7457 + b8562 + b8827
       = 1;

e823:    b12 + b353 + b390 + b443 + b465 + b635 + b694 + b827 + b863 + b916
       + b924 + b1001 + b1051 + b1141 + b1151 + b1262 + b1633 + b1700 + b1877
       + b2067 + b2132 + b2251 + b2392 + b2400 + b2693 + b2762 + b3169 + b3289
       + b3499 + b3502 + b3658 + b3822 + b3975 + b4124 + b4126 + b4145 + b4221
       + b4242 + b4430 + b4460 + b4734 + b4820 + b5087 + b5326 + b5347 + b5371
       + b5481 + b5557 + b5679 + b5879 + b6232 + b6255 + b6301 + b6371 + b6428
       + b6484 + b6543 + b6565 + b6649 + b6715 + b6772 + b6815 + b6935 + b7099
       + b7457 + b7544 + b8276 + b8291 + b8530 + b8562 + b8604 + b8827 = 1;

e824:    b12 + b353 + b390 + b443 + b465 + b635 + b694 + b827 + b863 + b916
       + b924 + b1001 + b1141 + b1151 + b1262 + b1633 + b1700 + b1877 + b2067
       + b2132 + b2251 + b2392 + b2400 + b2693 + b2762 + b3169 + b3289 + b3499
       + b3502 + b3658 + b3822 + b3975 + b4124 + b4126 + b4145 + b4221 + b4242
       + b4430 + b4460 + b4734 + b4820 + b5087 + b5326 + b5347 + b5371 + b5481
       + b5557 + b5679 + b5879 + b6232 + b6255 + b6301 + b6371 + b6428 + b6484
       + b6543 + b6565 + b6649 + b6715 + b6772 + b6815 + b6935 + b7099 + b7457
       + b7544 + b8276 + b8291 + b8530 + b8562 + b8604 + b8827 = 1;