QPLIB

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QPLIB_5922

Formats gms lp mod qplib
Problem type probtype QBN
Solution point objective value solobjvalue 128339.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor BicMac
#Variables nvars 500
#Binary Variables nbinvars 500
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 500
#Nonlinear Binary Variables nnlbinvars 500
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense max
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 251
#Positive eigenvalues in objective matrix nobjquadposev 249
#Nonzeros in Objective nobjnz 500
#Nonlinear Nonzeros in Objective nobjnlnz 500
#Quadratic Terms in Objective nobjquadnz 12278
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 0
#Linear Constraints nlincons 0
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 0
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 24556
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 500
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 500
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 500.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_5922.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          1        1        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        501        1      500        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        501        1      500        0
*
*  Solve m using MIQCP maximizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
          ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
          ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501;

Equations  e1;


e1.. 94*b2*b31 + 38*b2*b35 + 180*b2*b40 + 158*b2*b47 + 174*b2*b49 + 32*b2*b100
      - 94*b2*b101 + 8*b2*b104 - 92*b2*b117 + 88*b2*b123 - 53*b123 + 158*b2*
     b128 - 64*b2*b129 - 176*b2*b139 - 142*b2*b157 + 132*b2*b166 - 142*b2*b173
      - 59*b173 - 104*b2*b183 + 8*b183 - 182*b2*b195 - 4*b2*b203 - 104*b2*b212
      - 112*b2*b214 - 56*b2*b217 - 72*b217 - 30*b2*b222 - 104*b2*b233 + 16*b2*
     b252 + 96*b2*b254 + 178*b2*b263 - 6*b2*b266 + 150*b2*b267 + 138*b2*b272 + 
     64*b2*b273 + 94*b2*b281 - 128*b2*b283 + 14*b2*b284 - 66*b2*b288 - 168*b2*
     b307 - 4*b2*b309 - 166*b2*b332 - 152*b2*b341 + 16*b2*b364 + 168*b2*b374 - 
     46*b2*b401 - 50*b2*b405 - 60*b2*b425 - 134*b2*b447 - 86*b2*b489 + 68*b2*
     b493 - 92*b2*b494 - 20*b2*b498 - 138*b3*b5 - 148*b3*b44 + 194*b3*b45 + 108
     *b3*b62 - 18*b3*b83 + 186*b3*b97 + 130*b3*b101 - 60*b3*b104 + 80*b3*b113
      - 4*b3*b129 + 38*b3*b131 - 21*b131 + 110*b3*b137 - 150*b3*b138 - 158*b3*
     b147 - 2*b3*b152 + 64*b152 - 42*b3*b160 - 48*b3*b171 - 48*b3*b180 - 116*b3
     *b185 - 10*b3*b203 + 94*b3*b205 - 104*b3*b210 - 100*b3*b211 - 80*b3*b218
      + 114*b3*b224 + 26*b3*b227 - 58*b3*b229 - 98*b3*b238 - 60*b3*b239 + 60*b3
     *b249 + 190*b3*b258 - 5*b258 - 186*b3*b259 + 56*b3*b264 + 38*b3*b269 + 100
     *b3*b274 + 64*b3*b288 - 196*b3*b292 - 176*b3*b294 - 166*b3*b308 + 134*b3*
     b312 + 38*b3*b314 - 118*b3*b315 - 172*b3*b316 + 132*b3*b319 - 62*b3*b322
      - 96*b3*b326 - 182*b3*b331 + 152*b3*b343 - 178*b3*b359 + 104*b3*b362 + 
     122*b3*b382 - 192*b3*b384 + 48*b3*b395 + 26*b3*b402 - 98*b3*b422 - 72*b3*
     b433 + 100*b3*b440 + 80*b3*b442 + 24*b3*b456 + 158*b3*b460 + 164*b3*b461
      + 78*b3*b466 + 102*b3*b470 - 6*b3*b482 + 32*b3*b483 + 90*b3*b493 - 158*b3
     *b495 + 108*b3*b500 + 86*b4*b19 + 92*b4*b29 - 80*b4*b38 - 76*b4*b56 - 188*
     b4*b57 + 122*b4*b64 - 156*b4*b68 + 124*b4*b73 + 30*b73 + 164*b4*b82 - 20*
     b4*b87 - 86*b87 - 14*b4*b98 - 26*b4*b99 + 146*b4*b114 - 22*b4*b118 + 70*b4
     *b120 + 152*b4*b133 - 56*b133 - 90*b4*b137 - 158*b4*b145 - 82*b4*b151 + 92
     *b151 + 78*b4*b174 + 136*b4*b186 + 152*b4*b189 + 52*b4*b190 + 20*b4*b199
      + 96*b4*b202 + 174*b4*b203 - 146*b4*b208 + 20*b4*b229 + 104*b4*b235 + 52*
     b4*b254 + 46*b4*b264 + 154*b4*b266 - 24*b4*b296 + 70*b4*b298 - 70*b4*b311
      - 61*b311 + 130*b4*b320 - 16*b4*b326 - 40*b4*b331 + 12*b4*b364 + 138*b4*
     b368 + 30*b4*b393 - 118*b4*b403 - 76*b403 - 50*b4*b406 + 24*b4*b411 + 106*
     b4*b416 - 94*b4*b418 - 168*b4*b434 + 24*b4*b435 - 22*b4*b437 - 110*b4*b439
      - 102*b4*b450 - 128*b4*b452 + 94*b452 + 28*b4*b464 - 66*b4*b475 + 92*b4*
     b481 - 61*b481 - 92*b4*b482 - 100*b4*b498 + 132*b4*b499 - 78*b5*b8 + 62*b5
     *b9 - 166*b5*b20 - 28*b5*b38 + 198*b5*b43 - 74*b5*b63 - 160*b5*b74 + 140*
     b5*b99 + 134*b5*b104 - 148*b5*b114 - 192*b5*b119 - 40*b5*b124 + 36*b5*b137
      + 76*b5*b138 + 46*b5*b140 + 122*b5*b159 + 78*b5*b163 + 52*b5*b172 - 66*b5
     *b179 - 102*b5*b181 + 80*b5*b183 - 178*b5*b211 + 86*b5*b221 - 32*b5*b243
      - 69*b243 + 32*b5*b255 - 94*b5*b262 - 138*b5*b274 + 70*b5*b281 - 88*b5*
     b283 + 14*b5*b289 + 24*b5*b309 + 42*b5*b311 - 162*b5*b323 - 140*b5*b337 - 
     28*b5*b339 + 57*b339 + 12*b5*b351 - 162*b5*b355 + 124*b5*b356 + 172*b5*
     b359 + 146*b5*b398 + 94*b5*b407 + 180*b5*b408 - 108*b5*b412 + 166*b5*b437
      + 66*b5*b438 + 80*b5*b440 - 134*b5*b450 + 94*b5*b458 + 156*b5*b464 - 132*
     b5*b489 - 48*b5*b496 - 40*b6*b9 + 2*b6*b10 - 186*b6*b25 + 31*b25 + 154*b6*
     b31 + 136*b6*b44 - 186*b6*b49 + 106*b6*b59 - 196*b6*b74 + 14*b6*b87 + 180*
     b6*b101 - 172*b6*b119 + 124*b6*b132 - 96*b6*b168 + 90*b6*b169 + 130*b6*
     b202 + 148*b6*b208 - 86*b6*b212 - 146*b6*b216 + 102*b6*b220 + 70*b6*b225
      + 156*b6*b228 - 176*b6*b244 - 128*b6*b275 + 144*b6*b287 + 68*b6*b328 + 40
     *b6*b330 - 26*b6*b353 + 128*b6*b358 + 8*b6*b363 + 140*b6*b369 - 15*b369 - 
     28*b6*b381 + 178*b6*b408 + 68*b6*b420 + 160*b6*b428 - 16*b6*b440 - 164*b6*
     b463 + 88*b6*b466 - 112*b6*b469 - 134*b6*b470 + 184*b6*b471 - 114*b6*b490
      - 70*b7*b9 - 198*b7*b18 + 80*b7*b39 - 92*b7*b42 + 50*b7*b56 + 6*b7*b61 - 
     192*b7*b65 + 48*b7*b94 - 18*b7*b121 + 140*b7*b130 - 38*b7*b140 + 100*b7*
     b150 + 16*b7*b157 - 102*b7*b166 - 142*b7*b171 - 142*b7*b181 - 76*b7*b185
      + 190*b7*b191 + 102*b7*b201 - 66*b7*b204 + 12*b204 + 102*b7*b209 + 150*b7
     *b212 + 180*b7*b214 - 150*b7*b223 - 180*b7*b235 + 76*b7*b266 + 130*b7*b270
      + 196*b7*b282 + 190*b7*b316 + 124*b7*b345 + 162*b7*b356 - 84*b7*b359 - 
     158*b7*b363 + 148*b7*b365 - 192*b7*b384 - 86*b7*b386 - 8*b7*b397 - 156*b7*
     b399 - 40*b7*b409 - 36*b7*b426 - 132*b7*b445 + 51*b445 - 150*b7*b463 - 176
     *b7*b468 - 108*b7*b480 + 106*b7*b482 - 138*b8*b58 + 42*b8*b61 - 42*b8*b62
      - 152*b8*b63 + 158*b8*b68 + 106*b8*b72 - 94*b8*b75 - 102*b8*b81 - 6*b8*
     b88 + 90*b8*b89 - 118*b8*b100 + 152*b8*b135 + 180*b8*b154 + 42*b8*b160 - 
     114*b8*b161 + 112*b8*b178 + 90*b8*b201 + 182*b8*b222 + 124*b8*b249 + 32*b8
     *b257 + 64*b8*b279 - 106*b8*b284 - 140*b8*b299 - 176*b8*b309 + 78*b8*b310
      - 12*b8*b333 - 44*b8*b347 + 4*b8*b350 - 146*b8*b352 + 58*b8*b359 + 198*b8
     *b384 + 172*b8*b385 - 30*b8*b388 + 20*b8*b398 - 158*b8*b411 + 72*b8*b421
      - 140*b8*b426 - 90*b8*b427 - 182*b8*b460 + 92*b8*b469 + 156*b8*b481 - 2*
     b8*b490 - 4*b8*b497 - 94*b9*b11 - 20*b9*b15 + 144*b9*b27 - 80*b9*b43 - 72*
     b9*b64 - 10*b9*b80 + 22*b9*b87 - 120*b9*b101 - 112*b9*b105 + 66*b105 + 92*
     b9*b108 + 18*b9*b111 + 48*b111 - 92*b9*b116 - 78*b9*b130 + 46*b9*b133 + 
     126*b9*b143 - 33*b143 + 28*b9*b151 - 36*b9*b163 - 34*b9*b164 - 60*b9*b181
      + 88*b9*b182 - 124*b9*b200 + 148*b9*b211 + 10*b9*b225 + 158*b9*b235 - 10*
     b9*b265 - 198*b9*b268 + 18*b9*b270 + 172*b9*b275 - 174*b9*b294 - 50*b9*
     b296 - 104*b9*b317 - 134*b9*b335 - 8*b9*b343 + 10*b9*b352 + 104*b9*b359 + 
     192*b9*b364 - 176*b9*b368 + 30*b9*b374 - 116*b9*b421 + 172*b9*b422 - 116*
     b9*b423 - 60*b9*b425 - 174*b9*b430 - 34*b9*b438 - 142*b9*b440 - 190*b9*
     b443 + 84*b9*b444 - 2*b9*b450 - 34*b9*b458 + 168*b9*b469 - 8*b9*b473 - 28*
     b473 - 108*b9*b487 + 164*b9*b489 + 46*b9*b498 + 110*b10*b17 - 94*b10*b23
      - 178*b10*b44 + 58*b10*b52 - 80*b10*b59 + 96*b10*b62 + 116*b10*b74 + 54*
     b10*b103 + 8*b10*b118 + 124*b10*b130 - 86*b10*b131 + 40*b10*b158 + 98*b10*
     b162 + 138*b10*b165 + 10*b10*b178 - 54*b10*b180 + 56*b10*b192 + 54*b10*
     b222 + 104*b10*b240 - 68*b10*b242 + 150*b10*b244 - 130*b10*b272 - 34*b10*
     b274 - 142*b10*b285 + 86*b10*b287 - 96*b10*b292 - 72*b10*b298 + 200*b10*
     b322 + 124*b10*b328 + 6*b10*b329 + 150*b10*b331 + 194*b10*b336 + 80*b10*
     b340 + 120*b10*b342 - 112*b10*b352 + 196*b10*b364 + 128*b10*b374 + 108*b10
     *b379 + 8*b379 + 164*b10*b406 + 84*b10*b409 + 118*b10*b414 - 170*b10*b426
      + 60*b10*b430 + 114*b10*b435 - 192*b10*b455 - 118*b10*b468 + 28*b10*b469
      + 6*b10*b472 + 72*b10*b474 + 6*b10*b492 - 136*b11*b20 + 138*b11*b28 + 156
     *b11*b51 + 160*b11*b60 + 46*b11*b62 - 46*b11*b77 - 48*b11*b80 + 198*b11*
     b88 - 136*b11*b89 - 190*b11*b90 - 46*b11*b91 - 12*b11*b97 - 88*b11*b113 + 
     112*b11*b115 + 140*b11*b118 + 150*b11*b120 - 60*b11*b122 + 56*b11*b125 + 
     100*b11*b134 - 58*b11*b138 - 74*b11*b140 - 72*b11*b169 - 10*b11*b188 + 166
     *b11*b191 - 128*b11*b199 + 190*b11*b202 + 116*b11*b203 + 108*b11*b207 - 86
     *b11*b217 - 34*b11*b218 - 36*b11*b222 + 10*b11*b226 - 3*b226 - 176*b11*
     b237 - 172*b11*b251 + 136*b11*b257 + 102*b11*b268 + 54*b11*b274 + 44*b11*
     b280 + 146*b11*b301 - 112*b11*b307 + 18*b11*b314 + 180*b11*b326 + 102*b11*
     b343 + 200*b11*b346 + 8*b11*b351 - 142*b11*b357 + 128*b11*b358 + 62*b11*
     b371 - 56*b11*b378 + 72*b11*b382 + 200*b11*b387 + 12*b11*b395 - 152*b11*
     b406 + 144*b11*b425 - 170*b11*b433 - 136*b11*b464 - 88*b11*b469 - 168*b11*
     b472 - 92*b11*b474 + 114*b11*b477 + 66*b11*b484 - 74*b11*b494 + 92*b11*
     b495 + 144*b11*b501 + 94*b12*b13 + 64*b12*b16 - 48*b12*b31 + 116*b12*b36
      + 170*b12*b42 + 188*b12*b57 - 124*b12*b62 - 66*b12*b66 - 17*b66 - 134*b12
     *b89 + 138*b12*b102 + 142*b12*b107 - 148*b12*b126 - 20*b12*b139 - 70*b12*
     b154 + 106*b12*b197 - 196*b12*b200 + 70*b12*b236 + 64*b236 + 64*b12*b245
      + 52*b12*b252 + 22*b12*b270 + 120*b12*b281 - 170*b12*b302 + 144*b12*b307
      - 62*b12*b336 + 190*b12*b350 - 50*b12*b370 - 148*b12*b375 + 20*b12*b380
      - 40*b12*b381 - 82*b12*b387 + 50*b12*b393 + 106*b12*b405 - 50*b12*b449 + 
     184*b12*b456 - 66*b12*b466 - 112*b12*b470 - 64*b12*b481 - 124*b12*b484 - 
     16*b12*b485 - 30*b12*b491 + 12*b12*b494 + 184*b12*b498 - 14*b13*b17 - 140*
     b13*b21 + 72*b13*b28 - 140*b13*b30 + 67*b30 + 10*b13*b61 + 92*b13*b66 - 68
     *b13*b67 - 14*b13*b77 + 128*b13*b85 + 140*b13*b98 + 70*b13*b134 + 64*b13*
     b138 - 20*b13*b150 - 166*b13*b158 + 70*b13*b163 + 48*b13*b164 - 124*b13*
     b167 + 198*b13*b172 + 16*b13*b175 - 144*b13*b194 + 31*b194 + 164*b13*b195
      - 128*b13*b233 + 150*b13*b261 + 144*b13*b272 + 138*b13*b287 + 66*b13*b301
      - 102*b13*b309 - 172*b13*b327 + 114*b13*b336 + 142*b13*b337 + 84*b13*b342
      + 48*b13*b348 + 75*b348 + 182*b13*b356 + 156*b13*b371 - 2*b13*b385 - 2*
     b13*b392 - 78*b13*b413 + 126*b13*b429 + 70*b429 - 84*b13*b444 - 16*b13*
     b447 - 182*b14*b30 - 104*b14*b41 + 126*b14*b44 - 168*b14*b61 - 74*b14*b69
      - 122*b14*b71 - 32*b14*b106 - 78*b14*b120 + 104*b14*b121 - 150*b14*b122
      + 142*b14*b129 - 4*b14*b135 + 106*b14*b148 + 62*b14*b158 - 50*b14*b161 - 
     194*b14*b170 - 96*b14*b190 - 66*b14*b191 - 42*b14*b199 - 166*b14*b202 - 86
     *b14*b215 - 72*b14*b228 - 78*b14*b230 + 14*b14*b234 + 80*b14*b252 + 164*
     b14*b266 - 10*b14*b268 - 138*b14*b290 + 102*b14*b314 - 196*b14*b327 - 138*
     b14*b329 - 80*b14*b334 - 62*b14*b338 - 4*b14*b361 - 126*b14*b371 - 160*b14
     *b383 + 18*b14*b409 + 46*b14*b431 + 6*b14*b449 - 28*b14*b458 - 190*b14*
     b464 + 150*b14*b467 + 92*b14*b470 - 126*b14*b486 - 7*b486 + 170*b14*b497
      + 30*b15*b26 - 22*b15*b37 + 30*b15*b42 - 4*b15*b67 - 86*b15*b81 + 88*b15*
     b87 - 78*b15*b90 + 110*b15*b107 - 130*b15*b123 - 118*b15*b126 + 54*b15*
     b134 + 32*b15*b143 - 80*b15*b152 - 28*b15*b168 + 182*b15*b200 - 156*b15*
     b214 + 200*b15*b230 + 8*b15*b236 - 124*b15*b237 + 80*b15*b246 + 94*b15*
     b251 + 134*b15*b255 + 70*b15*b258 - 28*b15*b264 - 46*b15*b266 - 50*b15*
     b271 - 12*b15*b280 - 86*b15*b285 + 124*b15*b288 - 102*b15*b291 - 116*b15*
     b296 + 194*b15*b307 + 36*b15*b308 + 198*b15*b326 + 142*b15*b335 + 70*b15*
     b356 + 24*b15*b357 - 80*b15*b358 + 94*b15*b359 + 194*b15*b360 - 78*b15*
     b361 - 50*b15*b369 - 124*b15*b419 + 98*b419 - 70*b15*b422 + 136*b15*b430
      + 170*b15*b431 - 18*b15*b453 + 6*b15*b455 + 182*b16*b30 + 126*b16*b40 + 
     136*b16*b47 + 116*b16*b49 - 2*b16*b56 - 30*b16*b61 - 44*b16*b62 - 20*b16*
     b109 + 64*b16*b115 - 120*b16*b124 + 14*b16*b126 - 154*b16*b157 - 58*b16*
     b158 - 186*b16*b182 + 192*b16*b225 - 124*b16*b236 + 92*b16*b242 - 196*b16*
     b244 + 194*b16*b245 - 64*b16*b260 - 94*b16*b266 + 116*b16*b276 + 188*b16*
     b289 + 10*b16*b293 + 180*b16*b301 + 170*b16*b305 + 148*b16*b318 + 98*b16*
     b323 - 118*b16*b343 + 106*b16*b350 - 54*b16*b354 - 32*b16*b364 - 18*b16*
     b369 + 186*b16*b373 + 4*b16*b400 - 76*b16*b402 - 22*b16*b405 + 18*b16*b406
      - 56*b16*b412 - 150*b16*b416 - 52*b16*b439 - 34*b16*b441 - 95*b441 + 42*
     b16*b455 - 4*b16*b471 - 166*b16*b487 - 72*b17*b29 - 28*b17*b47 - 30*b17*
     b48 - 170*b17*b61 - 84*b17*b63 + 154*b17*b66 + 176*b17*b68 + 32*b17*b84 - 
     68*b17*b87 - 78*b17*b101 + 18*b17*b106 - 74*b17*b111 - 100*b17*b127 + 198*
     b17*b149 - 80*b17*b176 + 20*b17*b192 - 74*b17*b224 - 130*b17*b226 - 96*b17
     *b230 + 48*b17*b236 + 162*b17*b247 - 112*b17*b248 - 192*b17*b256 + 76*b17*
     b257 - 98*b17*b271 + 76*b17*b291 - 24*b17*b311 - 112*b17*b312 - 26*b17*
     b316 + 74*b17*b336 + 30*b17*b343 - 128*b17*b355 + 16*b17*b372 + 44*b372 + 
     198*b17*b375 + 106*b17*b397 + 42*b17*b399 - 146*b17*b403 - 2*b17*b410 + 88
     *b17*b440 - 128*b17*b456 - 90*b17*b473 - 8*b17*b477 - 70*b17*b478 - 192*
     b17*b492 - 58*b18*b22 + 24*b18*b24 - 58*b18*b28 + 146*b18*b45 + 46*b18*b59
      - 94*b18*b63 + 52*b18*b65 - 18*b18*b84 + 90*b18*b98 - 164*b18*b99 - 170*
     b18*b105 + 98*b18*b130 + 80*b18*b131 - 94*b18*b138 + 42*b18*b140 - 158*b18
     *b142 - 108*b18*b143 - 66*b18*b147 - 166*b18*b215 - 84*b18*b219 - 176*b18*
     b225 + 96*b18*b228 + 190*b18*b230 - 104*b18*b233 + 142*b18*b234 - 190*b18*
     b251 - 144*b18*b260 + 104*b18*b266 - 128*b18*b267 - 130*b18*b291 + 102*b18
     *b299 - 84*b18*b316 - 164*b18*b325 - 92*b18*b326 - 98*b18*b351 + 96*b18*
     b352 - 34*b18*b353 - 160*b18*b356 + 50*b18*b362 - 190*b18*b388 + 182*b18*
     b392 + 168*b18*b397 + 72*b18*b434 - 78*b18*b437 + 156*b18*b439 - 52*b18*
     b459 + 10*b18*b461 + 162*b18*b467 - 126*b18*b470 + 162*b18*b472 - 62*b18*
     b475 + 70*b18*b478 + 192*b18*b483 - 10*b19*b22 - 82*b19*b24 - 16*b19*b25
      - 118*b19*b39 - 80*b19*b56 - 80*b19*b60 + 128*b19*b67 + 134*b19*b78 + 188
     *b19*b79 + 188*b19*b98 - 56*b19*b116 - 28*b19*b119 - 120*b19*b126 + 24*b19
     *b142 + 156*b19*b144 + 180*b19*b149 - 108*b19*b152 + 134*b19*b165 + 100*
     b19*b167 - 70*b19*b171 - 40*b19*b176 - 90*b19*b177 - 188*b19*b203 + 124*
     b19*b213 + 188*b19*b215 + 92*b19*b235 + 92*b19*b266 - 78*b19*b271 - 172*
     b19*b291 - 132*b19*b292 - 50*b19*b306 + 158*b19*b307 - 98*b19*b319 - 14*
     b19*b334 - 100*b19*b352 - 124*b19*b354 - 14*b19*b357 - 102*b19*b363 + 162*
     b19*b364 - 72*b19*b366 - 142*b19*b392 - 180*b19*b427 + 84*b19*b438 - 186*
     b19*b440 + 134*b19*b443 - 66*b19*b451 - 150*b19*b455 + 120*b19*b458 + 114*
     b19*b477 + 134*b19*b491 + 24*b20*b22 - 146*b20*b35 - 40*b20*b53 - 76*b20*
     b54 - 170*b20*b60 - 184*b20*b63 + 192*b20*b66 - 60*b20*b68 + 68*b20*b69 + 
     86*b20*b75 - 72*b20*b80 + 64*b20*b81 - 36*b20*b82 - 40*b20*b93 + 166*b20*
     b119 + 168*b20*b123 - 104*b20*b131 - 76*b20*b134 + 28*b20*b138 - 38*b20*
     b162 + 170*b20*b196 - 10*b20*b204 - 20*b20*b221 + 140*b20*b224 - 78*b20*
     b225 + 96*b20*b226 - 110*b20*b235 - 118*b20*b236 + 162*b20*b237 + 192*b20*
     b242 - 106*b20*b255 + 96*b20*b261 - 20*b20*b266 - 168*b20*b286 - 82*b20*
     b298 - 144*b20*b311 - 154*b20*b329 - 64*b20*b344 - 34*b20*b360 - 48*b20*
     b373 + 12*b20*b378 - 176*b20*b379 + 128*b20*b383 - 100*b20*b403 - 28*b20*
     b405 - 84*b20*b408 - 110*b20*b414 - 180*b20*b423 + 98*b20*b438 - 142*b20*
     b444 - 160*b20*b446 + 190*b20*b448 - 174*b20*b466 + 162*b20*b469 + 136*b20
     *b479 + 42*b20*b480 + 134*b20*b484 - 66*b20*b485 + 174*b21*b24 + 98*b21*
     b25 + 196*b21*b37 + 132*b21*b58 + 86*b21*b72 - 112*b21*b88 - 80*b21*b95 - 
     78*b21*b96 + 98*b21*b101 + 82*b21*b115 - 80*b21*b118 + 112*b21*b120 + 86*
     b21*b136 - 32*b21*b137 + 186*b21*b141 - 170*b21*b145 - 20*b21*b164 - 172*
     b21*b174 + 82*b21*b177 + 122*b21*b199 - 198*b21*b209 + 56*b21*b230 - 120*
     b21*b236 - 176*b21*b241 - 100*b21*b274 - 76*b21*b276 - 112*b21*b285 - 154*
     b21*b287 + 106*b21*b317 - 78*b21*b319 - 34*b21*b332 - 6*b21*b335 + 60*b21*
     b338 + 182*b21*b341 + 70*b21*b353 + 132*b21*b358 + 14*b21*b402 + 134*b21*
     b403 - 64*b21*b418 - 74*b21*b433 + 146*b21*b453 + 92*b21*b461 + 124*b21*
     b464 + 102*b21*b474 + 92*b21*b488 - 4*b21*b490 + 196*b22*b34 + 178*b22*b46
      - 56*b22*b48 + 64*b22*b49 + 54*b22*b82 + 84*b22*b90 - 16*b22*b99 - 196*
     b22*b101 - 42*b22*b105 + 188*b22*b107 + 100*b22*b147 - 162*b22*b175 - 30*
     b22*b193 - 82*b22*b206 + 118*b22*b210 - 148*b22*b228 - 184*b22*b243 - 174*
     b22*b245 - 62*b22*b246 - 188*b22*b251 + 130*b22*b252 + 56*b22*b255 + 100*
     b22*b256 + 98*b22*b282 - 66*b22*b291 + 30*b22*b297 + 54*b22*b299 + 102*b22
     *b331 - 132*b22*b345 + 136*b22*b347 - 90*b22*b351 + 48*b22*b361 - 106*b22*
     b363 + 118*b22*b391 + 154*b22*b394 - 48*b22*b404 + 128*b22*b408 - 78*b22*
     b415 + 168*b22*b422 + 46*b22*b431 - 110*b22*b439 - 106*b22*b448 - 148*b22*
     b459 - 140*b22*b461 + 8*b22*b472 + 136*b22*b495 - 104*b22*b498 + 32*b23*
     b26 - 42*b23*b42 + 116*b23*b50 - 56*b23*b53 - 122*b23*b54 + 80*b23*b58 - 
     98*b23*b60 + 188*b23*b66 - 168*b23*b69 - 138*b23*b81 + 106*b23*b83 - 102*
     b23*b104 - 6*b23*b106 + 42*b23*b120 - 132*b23*b141 + 98*b23*b147 - 78*b23*
     b149 - 114*b23*b159 - 84*b23*b164 + 134*b23*b177 - 180*b23*b183 - 4*b23*
     b195 - 150*b23*b197 + 86*b23*b205 + 14*b23*b216 - 4*b23*b220 - 116*b23*
     b239 - 12*b23*b251 + 22*b23*b259 - 54*b23*b260 + 110*b23*b273 - 42*b23*
     b278 - 74*b23*b296 + 174*b23*b305 + 140*b23*b318 + 2*b23*b319 - 6*b23*b325
      - 156*b23*b330 - 32*b23*b333 - 72*b23*b397 + 44*b23*b401 - 134*b23*b402
      - 84*b23*b409 + 188*b23*b435 - 136*b23*b444 + 132*b23*b451 - 10*b23*b459
      - 186*b23*b466 - 8*b23*b480 + 26*b23*b489 - 4*b23*b501 + 64*b24*b35 + 14*
     b24*b66 - 74*b24*b78 - 146*b24*b93 - 132*b24*b97 + 62*b24*b104 - 124*b24*
     b111 - 138*b24*b133 - 20*b24*b135 - 18*b24*b149 - 134*b24*b152 + 24*b24*
     b167 - 102*b24*b170 - 30*b24*b171 + 142*b24*b172 + 154*b24*b174 + 30*b24*
     b176 + 34*b24*b192 - 28*b24*b193 - 44*b24*b194 + 148*b24*b203 - 180*b24*
     b212 - 138*b24*b216 - 38*b24*b220 - 44*b24*b227 + 182*b24*b254 + 20*b24*
     b256 + 48*b24*b258 + 56*b24*b266 + 90*b24*b281 + 84*b24*b285 - 86*b24*b294
      - 58*b24*b299 - 52*b24*b301 + 178*b24*b310 - 98*b24*b311 - 72*b24*b316 - 
     146*b24*b320 - 28*b24*b334 + 68*b24*b362 - 182*b24*b367 + 92*b24*b377 + 26
     *b24*b395 - 74*b24*b423 - 18*b24*b434 - 8*b24*b445 - 6*b24*b460 + 130*b24*
     b467 + 110*b24*b474 - 56*b24*b487 - 146*b24*b492 - 188*b24*b493 + 180*b24*
     b501 - 174*b25*b27 + 134*b25*b51 + 56*b25*b86 + 4*b25*b112 + 110*b25*b122
      + 192*b25*b125 + 54*b25*b130 + 28*b25*b137 + 166*b25*b161 - 162*b25*b164
      + 148*b25*b167 - 170*b25*b168 - 102*b25*b182 + 112*b25*b186 + 30*b25*b189
      - 94*b25*b198 + 98*b25*b199 + 64*b25*b212 + 168*b25*b213 - 158*b25*b222
      + 154*b25*b234 + 90*b25*b254 - 96*b25*b261 + 20*b25*b283 + 110*b25*b290
      + 14*b25*b306 + 148*b25*b307 - 148*b25*b330 + 6*b25*b338 - 130*b25*b352
      - 152*b25*b356 + 88*b25*b362 - 32*b25*b371 - 170*b25*b372 + 120*b25*b394
      - 92*b25*b410 - 56*b25*b411 - 160*b25*b413 - 70*b25*b428 + 94*b25*b430 + 
     100*b25*b434 + 146*b25*b453 - 88*b25*b458 + 64*b25*b479 - 80*b25*b482 - 
     190*b25*b485 + 12*b25*b495 - 84*b26*b33 - 144*b26*b52 + 112*b26*b58 + 28*
     b26*b66 - 2*b26*b71 + 188*b26*b96 - 144*b26*b111 - 168*b26*b112 + 180*b26*
     b203 - 28*b26*b205 + 126*b26*b207 + 170*b26*b212 - 30*b26*b213 + 170*b26*
     b216 + 40*b26*b236 + 124*b26*b256 - 50*b26*b265 + 58*b26*b280 + 142*b26*
     b287 + 156*b26*b297 - 24*b26*b298 - 80*b26*b308 + 150*b26*b315 + 92*b26*
     b326 - 170*b26*b334 + 178*b26*b340 - 36*b26*b345 - 114*b26*b352 + 98*b26*
     b364 - 196*b26*b374 - 136*b26*b385 + 160*b26*b393 - 28*b26*b397 - 46*b26*
     b407 + 8*b26*b410 + 100*b26*b412 - 190*b26*b415 - 18*b26*b420 - 16*b26*
     b425 + 142*b26*b431 + 86*b26*b443 - 126*b26*b449 - 68*b26*b452 - 146*b26*
     b467 - 134*b26*b468 - 116*b26*b478 - 100*b27*b40 - 40*b27*b55 + 104*b27*
     b61 + 196*b27*b62 - 24*b27*b71 - 76*b27*b83 - 4*b27*b120 - 128*b27*b124 - 
     118*b27*b126 - 146*b27*b128 + 154*b27*b144 - 30*b27*b171 + 108*b27*b172 + 
     28*b27*b181 - 198*b27*b198 + 80*b27*b203 + 116*b27*b246 + 46*b27*b266 + 52
     *b27*b275 - 132*b27*b280 - 94*b27*b285 - 114*b27*b299 - 36*b27*b303 - 168*
     b27*b305 - 80*b27*b317 - 134*b27*b333 - 180*b27*b342 - 112*b27*b351 + 52*
     b27*b353 + 168*b27*b367 + 34*b27*b378 + 48*b27*b404 - 82*b27*b423 + 124*
     b27*b432 + 166*b27*b444 - 112*b27*b447 - 124*b27*b459 - 106*b27*b482 - 148
     *b27*b485 + 164*b27*b489 - 196*b27*b494 - 52*b28*b29 + 192*b28*b31 + 20*
     b28*b75 + 46*b28*b78 - 88*b28*b105 - 4*b28*b107 + 90*b28*b139 - 10*b28*
     b143 + 104*b28*b146 - 66*b28*b153 - 84*b153 - 86*b28*b166 + 66*b28*b168 - 
     184*b28*b169 + 176*b28*b187 + 100*b28*b204 - 100*b28*b215 + 196*b28*b243
      - 88*b28*b260 + 96*b28*b264 - 114*b28*b268 - 80*b28*b283 + 40*b28*b291 - 
     96*b28*b298 + 90*b28*b307 + 136*b28*b319 - 10*b28*b325 - 60*b28*b331 - 198
     *b28*b332 + 162*b28*b339 + 72*b28*b367 - 152*b28*b369 - 152*b28*b387 + 90*
     b28*b391 + 26*b28*b393 + 64*b28*b395 + 102*b28*b399 - 160*b28*b408 + 88*
     b28*b410 - 182*b28*b417 - 198*b28*b421 + 2*b28*b448 - 12*b28*b494 - 66*b29
     *b35 - 130*b29*b46 - 74*b29*b50 - 14*b29*b61 + 72*b29*b75 - 116*b29*b80 + 
     50*b29*b95 - 198*b29*b114 + 170*b29*b135 + 76*b29*b136 + 52*b29*b150 - 86*
     b29*b153 - 88*b29*b168 + 64*b29*b183 - 32*b29*b204 - 142*b29*b211 - 84*b29
     *b246 + 136*b29*b253 - 62*b29*b280 - 8*b29*b302 + 30*b29*b307 - 38*b29*
     b326 + 178*b29*b329 - 134*b29*b337 + 80*b29*b381 - 164*b29*b385 - 24*b29*
     b389 - 74*b29*b410 + 126*b29*b427 - 102*b29*b439 + 172*b29*b469 + 130*b29*
     b470 - 116*b29*b475 - 122*b29*b488 - 156*b30*b43 - 72*b30*b54 - 184*b30*
     b57 - 176*b30*b67 - 52*b30*b74 + 24*b30*b77 - 170*b30*b94 + 112*b30*b114
      - 118*b30*b120 + 154*b30*b125 - 168*b30*b127 + 130*b30*b157 - 26*b30*b158
      + 46*b30*b171 + 140*b30*b176 + 116*b30*b177 - 158*b30*b179 + 150*b30*b187
      - 28*b30*b192 + 72*b30*b197 - 114*b30*b216 + 174*b30*b222 - 50*b30*b227
      - 136*b30*b230 - 182*b30*b234 - 102*b30*b237 - 60*b30*b241 + 30*b30*b242
      - 194*b30*b244 - 194*b30*b247 + 4*b30*b250 - 90*b30*b254 + 104*b30*b256
      + 160*b30*b257 + 124*b30*b262 - 188*b30*b284 + 192*b30*b290 + 194*b30*
     b301 - 170*b30*b309 + 172*b30*b328 - 126*b30*b330 - 52*b30*b336 + 106*b30*
     b339 - 46*b30*b346 + 80*b30*b347 + 52*b30*b348 + 124*b30*b351 + 170*b30*
     b378 + 102*b30*b394 - 84*b30*b396 + 176*b30*b401 - 182*b30*b405 + 116*b30*
     b406 + 156*b30*b420 - 182*b30*b428 - 44*b30*b438 + 122*b30*b449 + 76*b30*
     b461 + 48*b30*b478 + 198*b30*b482 - 82*b30*b483 - 158*b30*b492 + 48*b30*
     b493 - 12*b31*b41 + 148*b31*b54 - 8*b31*b73 + 60*b31*b82 - 78*b31*b100 - 
     134*b31*b121 + 138*b31*b130 - 30*b31*b133 + 70*b31*b149 - 144*b31*b171 - 
     104*b31*b186 + 32*b31*b189 - 194*b31*b202 + 192*b31*b212 - 174*b31*b216 + 
     122*b31*b220 - 134*b31*b238 + 62*b31*b239 - 94*b31*b244 - 130*b31*b252 - 
     156*b31*b253 + 44*b31*b254 + 104*b31*b264 - 84*b31*b271 - 2*b31*b282 + 46*
     b31*b283 + 150*b31*b294 - 198*b31*b342 - 46*b31*b364 + 2*b31*b370 + 134*
     b31*b379 - 82*b31*b387 - 52*b31*b405 - 124*b31*b411 - 144*b31*b420 - 136*
     b31*b440 - 96*b31*b442 + 98*b31*b445 - 150*b31*b455 + 12*b31*b461 + 116*
     b31*b474 - 180*b32*b44 + 182*b32*b53 - 66*b32*b66 - 84*b32*b77 + 92*b32*
     b78 - 188*b32*b90 + 180*b32*b138 + 44*b32*b171 - 76*b32*b187 - 166*b32*
     b197 - 66*b32*b198 - 192*b32*b204 - 44*b32*b215 - 30*b32*b217 + 6*b32*b218
      - 160*b32*b224 + 16*b32*b225 + 182*b32*b232 - 52*b32*b236 + 8*b32*b240 - 
     16*b32*b287 + 120*b32*b288 - 52*b32*b301 + 136*b32*b312 - 36*b32*b319 - 10
     *b32*b333 + 64*b32*b368 + 126*b32*b375 + 86*b32*b382 - 66*b32*b386 - 122*
     b32*b397 - 8*b32*b399 + 138*b32*b409 + 60*b32*b431 + 110*b32*b451 + 200*
     b32*b455 + 198*b32*b495 - 142*b32*b496 + 108*b33*b36 + 78*b33*b45 - 194*
     b33*b48 + 162*b33*b51 - 88*b33*b90 + 148*b33*b93 - 176*b33*b108 + 18*b33*
     b118 - 108*b33*b126 - 36*b33*b136 + 188*b33*b140 + 196*b33*b141 + 50*b33*
     b150 - 68*b33*b180 + 32*b33*b188 + 104*b33*b199 - 126*b33*b200 - 72*b33*
     b225 + 2*b33*b232 + 42*b33*b248 - 48*b33*b253 - 64*b33*b265 - 140*b33*b269
      + 106*b33*b271 - 66*b33*b279 - 100*b33*b280 - 190*b33*b288 - 40*b33*b294
      - 64*b33*b309 + 68*b33*b320 - 180*b33*b332 - 170*b33*b342 + 128*b33*b345
      + 4*b33*b356 + 26*b33*b379 + 126*b33*b386 - 188*b33*b409 - 112*b33*b414
      - 174*b33*b425 - 90*b33*b429 + 20*b33*b441 - 56*b33*b454 - 22*b33*b455 - 
     68*b33*b466 - 48*b33*b472 - 46*b33*b473 - 72*b33*b476 - 8*b33*b485 - 78*
     b33*b497 + 20*b34*b39 + 38*b34*b43 + 116*b34*b46 + 178*b34*b62 - 72*b34*
     b66 + 194*b34*b79 + 162*b34*b84 - 96*b34*b90 + 136*b34*b96 + 68*b34*b98 + 
     74*b34*b102 + 28*b34*b123 + 158*b34*b131 - 174*b34*b142 - 32*b34*b144 + 90
     *b34*b155 + 48*b34*b162 + 80*b34*b164 + 180*b34*b165 + 168*b34*b180 - 34*
     b34*b205 - 98*b34*b223 + 84*b34*b230 - 26*b34*b233 + 122*b34*b234 + 140*
     b34*b239 - 52*b34*b252 + 90*b34*b263 + 28*b34*b287 + 104*b34*b301 + 130*
     b34*b317 - 122*b34*b318 + 142*b34*b329 + 116*b34*b334 + 22*b34*b349 + 52*
     b34*b379 + 132*b34*b391 + 44*b34*b397 + 90*b34*b403 - 172*b34*b414 + 134*
     b34*b420 - 122*b34*b422 + 134*b34*b432 + 198*b34*b443 + 72*b34*b458 - 148*
     b34*b463 + 130*b34*b468 - 26*b34*b490 + 82*b34*b501 + 60*b35*b37 - 152*b35
     *b38 + 96*b35*b43 - 198*b35*b49 - 76*b35*b53 + 8*b35*b58 - 52*b35*b69 - 80
     *b35*b80 - 50*b35*b83 + 114*b35*b86 + 102*b35*b97 + 182*b35*b113 + 122*b35
     *b160 - 66*b35*b175 - 130*b35*b176 + 36*b35*b247 + 134*b35*b256 - 136*b35*
     b257 + 62*b35*b270 + 86*b35*b275 - 34*b35*b276 - 198*b35*b277 - 192*b35*
     b281 + 94*b35*b283 + 26*b35*b288 - 32*b35*b293 - 4*b35*b307 + 172*b35*b359
      + 48*b35*b373 + 130*b35*b391 + 84*b35*b407 + 26*b35*b421 - 180*b35*b432
      - 38*b35*b436 - 102*b35*b444 + 52*b35*b445 + 16*b35*b462 + 32*b35*b465 - 
     94*b465 + 54*b35*b476 + 118*b35*b479 - 82*b36*b52 + 74*b36*b67 - 194*b36*
     b68 + 38*b36*b69 + 84*b36*b77 - 122*b36*b94 - 108*b36*b114 + 114*b36*b130
      + 166*b36*b131 + 100*b36*b155 + 116*b36*b156 - 12*b36*b157 + 168*b36*b177
      - 48*b36*b180 + 118*b36*b231 + 62*b36*b239 + 30*b36*b246 - 14*b36*b254 - 
     82*b36*b257 + 164*b36*b260 - 164*b36*b267 + 190*b36*b280 - 42*b36*b289 + 
     40*b36*b297 - 106*b36*b311 - 126*b36*b319 + 2*b36*b348 - 94*b36*b358 - 88*
     b36*b363 + 84*b36*b385 + 158*b36*b416 + 2*b36*b438 - 14*b36*b456 - 84*b36*
     b459 - 166*b36*b476 + 182*b36*b493 - 176*b36*b501 - 70*b37*b38 + 138*b37*
     b56 + 136*b37*b58 - 198*b37*b66 - 52*b37*b73 + 88*b37*b74 + 166*b37*b89 + 
     128*b37*b99 + 54*b37*b100 + 98*b37*b105 - 176*b37*b111 + 40*b37*b120 + 86*
     b37*b125 - 98*b37*b141 + 94*b37*b145 + 174*b37*b151 + 34*b37*b197 - 152*
     b37*b200 + 194*b37*b203 - 24*b37*b215 + 112*b37*b227 + 174*b37*b239 + 182*
     b37*b241 - 146*b37*b242 - 182*b37*b246 + 40*b37*b268 + 110*b37*b275 + 6*
     b37*b286 - 194*b37*b295 + 88*b37*b299 + 152*b37*b302 + 74*b37*b304 + 26*
     b37*b306 - 196*b37*b316 + 40*b37*b321 - 46*b37*b327 + 174*b37*b328 - 102*
     b37*b333 + 46*b37*b345 + 184*b37*b353 - 118*b37*b367 - 32*b37*b372 - 32*
     b37*b376 - 140*b37*b382 - 4*b37*b425 + 198*b37*b431 + 6*b37*b432 + 18*b37*
     b437 + 2*b37*b439 + 40*b37*b445 + 62*b37*b446 + 160*b37*b452 - 186*b37*
     b457 + 18*b37*b465 - 84*b37*b468 + 104*b37*b475 - 126*b37*b477 + 78*b37*
     b478 - 24*b37*b501 - 30*b38*b39 - 188*b38*b48 - 164*b38*b57 + 132*b38*b58
      + 70*b38*b61 + 22*b38*b62 + 38*b38*b66 - 106*b38*b83 + 144*b38*b85 - 18*
     b38*b93 + 98*b38*b101 - 50*b38*b108 - 84*b38*b124 - 88*b38*b133 - 50*b38*
     b141 + 176*b38*b148 - 20*b38*b151 + 8*b38*b155 - 102*b38*b158 + 160*b38*
     b161 - 148*b38*b163 - 4*b38*b164 - 152*b38*b170 - 182*b38*b179 + 172*b38*
     b180 + 168*b38*b187 - 98*b38*b193 - 8*b38*b203 - 166*b38*b206 + 98*b38*
     b219 - 6*b38*b232 + 200*b38*b236 + 40*b38*b244 - 164*b38*b282 - 116*b38*
     b305 - 168*b38*b306 + 62*b38*b319 - 98*b38*b333 - 50*b38*b334 + 68*b38*
     b370 - 160*b38*b371 - 102*b38*b375 - 92*b38*b403 - 170*b38*b408 + 24*b38*
     b423 + 178*b38*b441 - 118*b38*b467 - 190*b38*b472 - 34*b38*b481 + 62*b38*
     b484 - 44*b38*b491 - 84*b38*b497 - 110*b39*b45 + 2*b39*b52 - 104*b39*b66
      + 56*b39*b109 - 30*b39*b112 - 130*b39*b124 - 178*b39*b129 - 88*b39*b130
      - 50*b39*b138 - 22*b39*b159 - 100*b39*b165 - 160*b39*b171 + 194*b39*b174
      - 94*b39*b176 + 150*b39*b179 - 188*b39*b211 - 128*b39*b214 + 194*b39*b226
      - 72*b39*b235 + 78*b39*b264 + 134*b39*b269 - 42*b39*b270 - 122*b39*b281
      + 30*b39*b298 + 182*b39*b302 + 142*b39*b309 - 12*b39*b313 - 196*b39*b317
      + 136*b39*b327 - 8*b39*b328 - 12*b39*b343 + 32*b39*b363 - 150*b39*b379 + 
     184*b39*b397 - 124*b39*b412 - 96*b39*b417 + 164*b39*b432 - 126*b39*b436 + 
     42*b39*b455 - 92*b39*b476 + 176*b40*b58 + 44*b40*b65 + 124*b40*b83 - 62*
     b40*b95 + 134*b40*b106 - 176*b40*b111 + 14*b40*b120 - 58*b40*b129 - 182*
     b40*b141 + 42*b40*b142 + 164*b40*b147 + 6*b40*b149 - 176*b40*b155 + 26*b40
     *b161 - 36*b40*b174 - 110*b40*b180 - 198*b40*b189 + 176*b40*b207 - 152*b40
     *b211 + 138*b40*b235 + 52*b40*b296 - 94*b40*b298 - 146*b40*b315 + 98*b40*
     b339 + 134*b40*b358 - 134*b40*b377 - 10*b40*b379 + 8*b40*b393 + 78*b40*
     b396 - 8*b40*b400 + 70*b40*b423 + 44*b40*b425 + 122*b40*b457 - 152*b40*
     b466 + 102*b40*b479 + 50*b40*b483 + 186*b41*b64 - 28*b41*b94 - 116*b41*
     b102 + 176*b41*b108 + 6*b41*b120 - 40*b41*b127 - 92*b41*b139 + 124*b41*
     b144 + 46*b41*b146 - 56*b41*b163 - 154*b41*b173 - 70*b41*b182 + 156*b41*
     b199 + 148*b41*b216 + 64*b41*b223 - 10*b41*b237 + 118*b41*b241 + 92*b41*
     b242 - 56*b41*b245 - 170*b41*b246 + 140*b41*b254 + 62*b41*b263 + 112*b41*
     b273 + 46*b41*b309 + 42*b41*b321 - 164*b41*b330 - 20*b41*b332 - 22*b41*
     b345 + 200*b41*b351 - 98*b41*b380 - 32*b41*b398 - 148*b41*b401 + 4*b41*
     b426 - 40*b41*b430 - 54*b41*b434 - 164*b41*b447 + 168*b41*b450 - 126*b41*
     b453 - 152*b41*b471 + 48*b41*b477 - 142*b41*b481 + 74*b41*b484 + 76*b41*
     b485 + 182*b41*b487 - 12*b42*b44 + 170*b42*b59 - 2*b42*b64 - 110*b42*b70
      - 2*b42*b73 + 182*b42*b74 - 158*b42*b77 - 174*b42*b81 - 118*b42*b86 + 26*
     b42*b95 - 104*b42*b103 - 164*b42*b109 - 12*b42*b114 + 4*b42*b120 + 94*b42*
     b124 + 48*b42*b147 + 124*b42*b150 - 124*b42*b151 - 174*b42*b152 + 176*b42*
     b164 + 136*b42*b171 - 86*b42*b180 + 50*b42*b190 - 30*b42*b223 - 188*b42*
     b231 + 180*b42*b248 - 12*b42*b279 + 8*b42*b286 - 90*b42*b289 - 98*b42*b296
      - 154*b42*b304 - 56*b42*b329 - 180*b42*b332 - 50*b42*b337 + 122*b42*b345
      - 184*b42*b352 + 84*b42*b359 - 190*b42*b371 + 64*b42*b381 + 4*b42*b392 + 
     108*b42*b393 - 162*b42*b396 + 84*b42*b400 + 30*b42*b411 + 132*b42*b415 - 
     136*b42*b438 + 26*b42*b439 - 128*b42*b444 - 104*b42*b454 + 110*b42*b458 - 
     58*b42*b460 - 66*b42*b495 - 78*b43*b60 + 14*b43*b73 - 98*b43*b83 + 172*b43
     *b102 - 114*b43*b104 - 36*b43*b109 + 190*b43*b111 - 180*b43*b119 + 190*b43
     *b133 + 192*b43*b134 - 68*b43*b142 + 30*b43*b145 + 72*b43*b161 + 144*b43*
     b164 + 194*b43*b183 - 38*b43*b231 - 144*b43*b239 + 164*b43*b243 + 102*b43*
     b245 - 6*b43*b281 + 162*b43*b312 + 86*b43*b319 + 36*b43*b321 + 138*b43*
     b322 - 80*b43*b332 - 120*b43*b333 - 180*b43*b340 + 74*b43*b371 - 68*b43*
     b379 + 30*b43*b396 + 98*b43*b414 + 74*b43*b421 - 130*b43*b427 + 172*b43*
     b433 - 46*b43*b449 - 192*b43*b462 + 12*b43*b472 - 32*b44*b45 - 82*b44*b54
      - 190*b44*b62 - 90*b44*b68 + 48*b44*b72 + 146*b44*b82 - 18*b44*b85 - 174*
     b44*b95 - 106*b44*b105 - 156*b44*b107 - 158*b44*b130 - 44*b44*b164 - 118*
     b44*b168 + 2*b44*b191 + 56*b44*b203 - 32*b44*b211 - 168*b44*b224 + 154*b44
     *b232 - 102*b44*b234 - 78*b44*b258 - 46*b44*b272 - 80*b44*b290 + 166*b44*
     b297 + 62*b44*b331 - 34*b44*b345 - 16*b44*b354 + 150*b44*b356 + 20*b44*
     b365 + 4*b44*b368 + 86*b44*b371 + 74*b44*b374 + 98*b44*b385 + 90*b44*b424
      - 90*b44*b425 + 152*b44*b441 - 96*b44*b442 + 194*b44*b443 + 136*b44*b444
      - 62*b44*b460 + 76*b44*b472 - 184*b44*b476 + 178*b44*b480 - 108*b44*b486
      + 66*b44*b494 + 68*b44*b497 - 148*b44*b498 + 38*b45*b50 - 6*b45*b57 - 130
     *b45*b67 + 76*b45*b76 + 92*b45*b81 - 130*b45*b95 - 118*b45*b101 + 152*b45*
     b102 - 74*b45*b106 + 18*b45*b130 - 34*b45*b138 - 12*b45*b148 + 200*b45*
     b157 - 134*b45*b161 + 110*b45*b173 + 172*b45*b183 + 56*b45*b199 + 92*b45*
     b216 - 72*b45*b222 - 48*b45*b237 - 72*b45*b241 - 62*b45*b255 - 152*b45*
     b265 - 186*b45*b266 - 178*b45*b287 - 104*b45*b289 + 32*b45*b294 - 70*b45*
     b295 + 138*b45*b309 - 72*b45*b313 - 122*b45*b345 - 164*b45*b392 - 70*b45*
     b411 + 174*b45*b414 - 8*b45*b439 - 136*b45*b444 - 6*b45*b467 - 4*b45*b468
      + 110*b45*b477 - 72*b45*b498 - 36*b45*b499 + 94*b46*b75 - 134*b46*b81 - 
     114*b46*b87 - 106*b46*b89 + 180*b46*b94 - 166*b46*b98 + 130*b46*b106 + 90*
     b46*b107 - 116*b46*b115 + 104*b46*b123 - 172*b46*b124 - 18*b46*b127 - 170*
     b46*b130 + 14*b46*b168 + 68*b46*b176 - 92*b46*b189 + 200*b46*b193 + 20*b46
     *b198 - 98*b46*b213 + 70*b46*b214 + 76*b46*b216 - 190*b46*b223 - 90*b46*
     b230 - 54*b46*b234 - 54*b46*b237 - 32*b46*b247 - 122*b46*b250 - 8*b46*b257
      + 16*b46*b259 - 104*b46*b285 + 132*b46*b301 + 132*b46*b318 - 92*b46*b330
      - 66*b46*b341 + 194*b46*b343 + 96*b46*b364 + 64*b46*b371 + 160*b46*b376
      + 176*b46*b382 - 160*b46*b383 + 4*b46*b406 - 192*b46*b412 + 42*b46*b422
      + 52*b46*b436 - 136*b46*b455 + 110*b46*b458 + 184*b46*b463 - 118*b46*b472
      - 26*b46*b498 - 144*b47*b50 - 52*b47*b54 + 142*b47*b63 - 68*b47*b64 - 58*
     b47*b80 - 110*b47*b90 - 76*b47*b94 - 130*b47*b103 + 108*b47*b110 + 18*b47*
     b125 + 60*b47*b142 - 64*b47*b157 - 194*b47*b162 + 66*b47*b172 + 144*b47*
     b190 - 148*b47*b191 - 164*b47*b214 - 174*b47*b218 - 12*b47*b226 + 156*b47*
     b239 + 112*b47*b240 + 104*b47*b263 - 166*b47*b275 - 158*b47*b279 - 30*b47*
     b287 - 20*b47*b303 + 198*b47*b311 - 130*b47*b314 - 18*b47*b329 + 82*b47*
     b330 - 142*b47*b374 + 54*b47*b385 + 138*b47*b401 + 138*b47*b402 - 140*b47*
     b403 + 152*b47*b441 - 52*b47*b446 + 118*b47*b447 - 74*b47*b459 - 28*b48*
     b84 - 4*b48*b85 + 38*b48*b96 + 68*b48*b112 - 168*b48*b135 - 70*b48*b149 - 
     140*b48*b163 + 122*b48*b171 + 10*b48*b181 - 42*b48*b184 + 200*b48*b191 - 
     34*b48*b210 + 94*b48*b218 - 122*b48*b223 + 158*b48*b233 - 90*b48*b236 + 4*
     b48*b248 - 124*b48*b255 - 34*b48*b270 + 46*b48*b283 + 198*b48*b289 + 94*
     b48*b300 - 66*b48*b304 + 88*b48*b309 + 138*b48*b321 - 142*b48*b333 - 196*
     b48*b339 - 190*b48*b343 + 38*b48*b346 + 44*b48*b348 + 190*b48*b356 + 200*
     b48*b361 + 14*b48*b367 + 104*b48*b371 + 68*b48*b374 + 162*b48*b383 - 126*
     b48*b384 - 182*b48*b388 - 104*b48*b411 + 178*b48*b423 + 128*b48*b428 + 150
     *b48*b437 - 8*b48*b438 - 42*b48*b474 - 72*b48*b480 + 140*b48*b500 + 132*
     b49*b59 - 2*b49*b99 - 2*b49*b103 + 110*b49*b115 + 58*b49*b137 + 190*b49*
     b145 + 114*b49*b170 - 82*b49*b189 - 34*b49*b202 + 100*b49*b207 - 56*b49*
     b212 - 102*b49*b220 + 130*b49*b226 - 114*b49*b239 - 186*b49*b245 + 76*b49*
     b255 - 94*b49*b264 + 112*b49*b288 + 108*b49*b292 - 192*b49*b311 + 146*b49*
     b329 + 126*b49*b350 + 178*b49*b366 - 72*b49*b371 + 6*b49*b374 + 104*b49*
     b379 - 78*b49*b380 - 100*b49*b389 - 128*b49*b393 + 20*b49*b410 - 78*b49*
     b422 - 80*b49*b424 + 90*b49*b441 + 158*b49*b450 + 78*b49*b455 - 20*b49*
     b461 - 138*b49*b464 + 194*b49*b467 - 164*b49*b494 - 128*b50*b60 + 16*b50*
     b62 + 196*b50*b85 + 86*b50*b101 + 118*b50*b135 - 196*b50*b173 - 74*b50*
     b182 + 36*b50*b195 - 8*b50*b214 + 76*b50*b216 + 104*b50*b231 - 30*b50*b246
      + 182*b50*b253 + 102*b50*b258 - 14*b50*b265 - 74*b50*b272 + 160*b50*b294
      - 58*b50*b300 + 174*b50*b304 + 74*b50*b305 + 62*b50*b309 + 144*b50*b329
      + 152*b50*b362 - 4*b50*b363 + 168*b50*b367 - 116*b50*b396 + 50*b50*b401
      - 42*b50*b403 + 22*b50*b406 + 30*b50*b407 - 172*b50*b417 - 66*b50*b420 + 
     8*b50*b422 - 190*b50*b433 - 134*b50*b439 - 50*b50*b444 + 18*b50*b453 - 158
     *b50*b454 - 56*b50*b457 + 28*b50*b459 - 58*b50*b461 - 68*b50*b474 - 2*b50*
     b480 - 142*b50*b481 + 88*b50*b492 - 194*b50*b496 - 122*b51*b53 + 106*b51*
     b54 - 6*b51*b62 + 146*b51*b70 + 188*b51*b71 - 32*b51*b88 - 94*b51*b99 + 
     108*b51*b114 - 160*b51*b125 + 154*b51*b126 - 152*b51*b136 - 24*b51*b150 - 
     30*b51*b186 - 180*b51*b187 - 34*b51*b204 - 40*b51*b217 + 186*b51*b247 + 
     108*b51*b280 + 96*b51*b281 - 132*b51*b284 + 84*b51*b286 - 130*b51*b302 - 
     40*b51*b319 + 166*b51*b328 - 152*b51*b332 - 120*b51*b336 - 180*b51*b373 + 
     88*b51*b379 + 172*b51*b380 + 92*b51*b381 - 106*b51*b389 - 196*b51*b390 + 4
     *b51*b399 - 104*b51*b400 - 138*b51*b403 + 116*b51*b407 + 90*b51*b431 - 128
     *b51*b439 + 84*b51*b456 - 160*b51*b459 + 184*b51*b474 - 88*b51*b494 + 190*
     b52*b59 + 2*b52*b64 + 64*b52*b73 + 2*b52*b98 + 70*b52*b113 + 198*b52*b124
      - 94*b52*b127 - 168*b52*b129 + 192*b52*b130 + 66*b52*b135 - 8*b52*b139 - 
     10*b52*b157 + 150*b52*b178 + 22*b52*b197 + 90*b52*b217 - 184*b52*b219 + 50
     *b52*b223 - 58*b52*b234 - 130*b52*b239 - 26*b52*b244 + 162*b52*b250 - 192*
     b52*b265 + 122*b52*b272 - 174*b52*b284 - 38*b52*b289 - 198*b52*b293 - 150*
     b52*b304 - 86*b52*b308 - 50*b52*b313 + 6*b52*b315 + 146*b52*b316 + 138*b52
     *b319 - 26*b52*b333 + 134*b52*b352 - 30*b52*b367 + 126*b52*b370 - 58*b52*
     b377 - 48*b52*b393 + 80*b52*b439 + 28*b52*b443 - 126*b52*b453 + 44*b52*
     b457 - 30*b52*b465 - 122*b52*b474 + 118*b52*b480 - 34*b52*b494 - 76*b53*
     b57 + 8*b53*b58 - 116*b53*b59 + 124*b53*b69 + 28*b53*b84 + 150*b53*b98 + 
     30*b53*b139 - 114*b53*b155 - 138*b53*b170 + 146*b53*b203 + 16*b53*b212 - 
     28*b53*b243 - 62*b53*b253 - 180*b53*b262 + 72*b53*b271 + 70*b53*b282 - 12*
     b53*b291 - 144*b53*b300 + 34*b53*b330 + 110*b53*b331 - 48*b53*b335 - 72*
     b53*b343 + 188*b53*b348 - 82*b53*b349 - 122*b53*b350 + 132*b53*b351 - 52*
     b53*b360 + 114*b53*b362 + 60*b53*b367 + 190*b53*b373 - 18*b53*b389 + 180*
     b53*b436 - 54*b53*b440 + 170*b53*b449 + 26*b53*b458 - 134*b53*b459 + 132*
     b53*b461 + 94*b53*b463 + 106*b53*b476 + 20*b53*b490 - 26*b53*b491 + 58*b54
     *b69 + 86*b54*b78 + 66*b54*b85 - 156*b54*b90 - 156*b54*b101 - 114*b54*b107
      - 64*b54*b109 - 28*b54*b116 + 172*b54*b129 - 110*b54*b147 + 126*b54*b149
      + 172*b54*b154 + 174*b54*b157 + 58*b54*b166 - 74*b54*b167 + 50*b54*b168
      - 58*b54*b173 - 158*b54*b182 + 122*b54*b186 + 24*b54*b193 + 168*b54*b250
      - 112*b54*b251 + 138*b54*b256 + 84*b54*b262 + 66*b54*b265 - 74*b54*b268
      + 26*b54*b275 + 102*b54*b276 + 94*b54*b281 - 100*b54*b307 - 122*b54*b318
      - 132*b54*b319 - 186*b54*b321 + 6*b54*b327 - 114*b54*b350 - 104*b54*b359
      - 150*b54*b361 - 162*b54*b370 + 118*b54*b371 - 66*b54*b375 + 18*b54*b378
      + 6*b54*b382 + 96*b54*b387 - 172*b54*b401 + 112*b54*b403 - 180*b54*b406
      - 60*b54*b414 - 100*b54*b417 + 22*b54*b420 + 142*b54*b440 + 52*b54*b447
      - 140*b54*b448 + 162*b54*b468 + 130*b54*b470 + 94*b54*b484 + 54*b54*b495
      + 192*b54*b497 + 126*b54*b500 - 142*b55*b56 + 188*b55*b70 - 156*b55*b98
      - 40*b55*b124 - 6*b55*b160 + 22*b55*b165 + 22*b55*b167 + 70*b55*b174 - 
     138*b55*b175 - 56*b55*b180 - 46*b55*b187 + 64*b55*b188 - 196*b55*b196 - 48
     *b55*b197 + 190*b55*b199 - 80*b55*b205 + 2*b55*b209 + 172*b55*b219 - 126*
     b55*b225 + 92*b55*b231 - 172*b55*b233 + 36*b55*b241 - 100*b55*b250 - 96*
     b55*b252 + 2*b55*b276 + 34*b55*b304 + 36*b55*b306 - 132*b55*b335 - 172*b55
     *b340 - 100*b55*b392 - 126*b55*b415 - 174*b55*b432 - 100*b55*b444 + 34*b55
     *b450 + 148*b55*b474 - 196*b55*b486 - 14*b55*b490 - 168*b55*b498 + 132*b56
     *b69 - 136*b56*b70 + 170*b56*b79 + 20*b56*b91 - 66*b56*b99 - 182*b56*b100
      - 4*b56*b105 + 186*b56*b110 - 24*b56*b116 - 50*b56*b120 + 72*b56*b131 + 
     154*b56*b133 - 26*b56*b139 - 104*b56*b146 - 10*b56*b157 + 132*b56*b162 - 
     36*b56*b165 - 34*b56*b168 - 102*b56*b172 + 44*b56*b174 + 132*b56*b189 - 
     142*b56*b231 - 154*b56*b232 - 66*b56*b233 + 78*b56*b247 + 168*b56*b257 + 4
     *b56*b258 - 104*b56*b278 - 168*b56*b284 + 4*b56*b301 - 14*b56*b305 + 20*
     b56*b309 - 26*b56*b312 - 134*b56*b349 + 68*b56*b352 + 176*b56*b354 - 90*
     b56*b360 - 120*b56*b370 + 124*b56*b371 + 172*b56*b372 - 22*b56*b375 + 102*
     b56*b392 + 70*b56*b419 - 174*b56*b435 - 132*b56*b438 + 116*b56*b452 - 6*
     b56*b461 - 168*b56*b470 - 96*b56*b471 + 148*b56*b473 + 112*b56*b481 - 46*
     b56*b483 - 8*b57*b66 + 150*b57*b69 - 26*b57*b77 - 114*b57*b80 - 12*b57*b83
      + 80*b57*b92 + 154*b57*b96 + 4*b57*b98 + 142*b57*b108 + 24*b57*b112 - 74*
     b57*b119 + 114*b57*b136 - 46*b57*b140 + 132*b57*b164 - 88*b57*b176 + 106*
     b57*b204 - 20*b57*b208 + 162*b57*b222 - 12*b57*b240 - 100*b57*b265 - 10*
     b57*b267 - 96*b57*b271 - 94*b57*b287 + 104*b57*b310 - 32*b57*b320 - 118*
     b57*b328 - 110*b57*b331 - 110*b57*b344 - 124*b57*b348 + 190*b57*b360 + 88*
     b57*b361 - 92*b57*b369 + 22*b57*b382 - 10*b57*b387 + 46*b57*b403 + 86*b57*
     b435 - 114*b57*b447 - 138*b57*b454 + 26*b57*b457 + 4*b57*b459 + 56*b57*
     b461 - 132*b57*b462 + 62*b57*b470 + 26*b57*b491 - 112*b57*b495 + 190*b58*
     b69 - 96*b58*b99 + 110*b58*b102 + 134*b58*b114 + 66*b58*b118 + 144*b58*
     b121 + 128*b58*b126 + 174*b58*b128 - 100*b58*b147 - 132*b58*b170 + 134*b58
     *b173 - 28*b58*b184 + 162*b58*b195 - 126*b58*b216 - 92*b58*b225 + 146*b58*
     b229 + 194*b58*b239 + 36*b58*b242 + 142*b58*b247 + 154*b58*b259 - 130*b58*
     b269 - 106*b58*b281 - 74*b58*b291 - 196*b58*b299 + 12*b58*b310 + 32*b58*
     b345 - 54*b58*b350 - 116*b58*b351 - 142*b58*b355 + 44*b58*b358 + 182*b58*
     b366 + 106*b58*b388 + 66*b58*b394 - 190*b58*b395 + 22*b58*b396 - 134*b58*
     b402 + 80*b58*b419 + 60*b58*b423 + 158*b58*b432 - 60*b58*b460 + 40*b58*
     b473 - 8*b58*b475 - 86*b58*b477 + 102*b58*b489 + 196*b58*b490 + 104*b58*
     b500 - 34*b59*b64 - 74*b59*b67 - 92*b59*b86 + 12*b59*b94 - 54*b59*b109 + 
     50*b59*b128 + 176*b59*b140 + 180*b59*b141 + 48*b59*b144 + 78*b59*b176 + 
     190*b59*b181 - 18*b59*b190 + 164*b59*b195 - 88*b59*b207 - 50*b59*b230 + 38
     *b59*b240 + 28*b59*b241 - 170*b59*b252 - 40*b59*b268 + 54*b59*b269 - 148*
     b59*b270 - 82*b59*b284 + 158*b59*b287 + 154*b59*b291 - 14*b59*b296 + 130*
     b59*b300 + 188*b59*b301 + 46*b59*b320 + 132*b59*b330 - 106*b59*b351 + 96*
     b59*b354 + 186*b59*b355 + 54*b59*b358 + 32*b59*b360 + 76*b59*b361 + 14*b59
     *b372 + 50*b59*b378 + 174*b59*b380 - 188*b59*b382 - 76*b59*b385 + 128*b59*
     b387 - 166*b59*b427 + 58*b59*b429 - 60*b59*b431 + 142*b59*b434 + 6*b59*
     b459 - 144*b59*b483 + 198*b59*b488 + 18*b59*b501 + 94*b60*b63 - 82*b60*b64
      - 172*b60*b66 + 20*b60*b67 + 60*b60*b96 + 160*b60*b104 - 180*b60*b111 + 
     44*b60*b119 - 174*b60*b123 + 84*b60*b134 - 144*b60*b138 - 20*b60*b147 + 54
     *b60*b168 + 116*b60*b169 - 192*b60*b183 + 72*b60*b187 - 164*b60*b190 - 46*
     b60*b191 + 156*b60*b198 - 170*b60*b201 + 102*b60*b230 - 146*b60*b254 + 80*
     b60*b264 - 162*b60*b271 - 100*b60*b281 - 198*b60*b293 - 164*b60*b324 - 26*
     b60*b336 - 154*b60*b338 - 52*b60*b369 - 80*b60*b374 - 70*b60*b385 - 70*b60
     *b394 - 74*b60*b405 - 150*b60*b410 + 38*b60*b421 - 84*b60*b438 + 132*b60*
     b444 + 80*b60*b460 - 50*b60*b461 + 184*b60*b463 + 134*b60*b474 + 2*b60*
     b475 + 166*b60*b477 - 150*b60*b479 + 114*b60*b495 - 104*b60*b499 + 6*b61*
     b68 + 194*b61*b96 + 114*b61*b103 + 64*b61*b114 + 176*b61*b140 - 144*b61*
     b158 + 40*b61*b159 - 168*b61*b164 - 140*b61*b172 - 112*b61*b192 + 50*b61*
     b193 - 20*b61*b206 + 186*b61*b209 + 114*b61*b210 + 120*b61*b219 - 60*b61*
     b220 + 132*b61*b247 + 16*b61*b250 + 156*b61*b256 + 20*b61*b257 + 200*b61*
     b270 + 66*b61*b289 - 70*b61*b294 + 4*b61*b298 + 132*b61*b304 - 152*b61*
     b308 - 130*b61*b315 - 110*b61*b341 - 114*b61*b347 - 24*b61*b364 - 72*b61*
     b381 + 142*b61*b393 - 178*b61*b395 - 106*b61*b401 + 116*b61*b405 - 2*b61*
     b411 + 184*b61*b417 - 70*b61*b419 - 158*b61*b426 + 144*b61*b430 + 14*b61*
     b432 - 188*b61*b437 + 4*b61*b451 + 100*b61*b453 - 86*b61*b469 - 54*b61*
     b496 - 144*b62*b84 - 110*b62*b110 + 94*b62*b139 + 86*b62*b146 + 116*b62*
     b153 + 136*b62*b164 - 178*b62*b181 + 146*b62*b182 + 96*b62*b184 + 62*b62*
     b187 - 90*b62*b201 - 106*b62*b202 - 44*b62*b244 - 164*b62*b251 + 54*b62*
     b254 - 162*b62*b256 + 30*b62*b296 + 146*b62*b302 - 68*b62*b305 - 144*b62*
     b313 + 78*b62*b317 + 196*b62*b324 + 188*b62*b329 + 104*b62*b333 + 124*b62*
     b334 - 178*b62*b346 - 94*b62*b357 - 162*b62*b360 + 128*b62*b363 - 116*b62*
     b367 + 74*b62*b369 - 172*b62*b386 - 188*b62*b390 + 124*b62*b411 + 106*b62*
     b412 - 58*b62*b416 - 106*b62*b423 - 160*b62*b433 - 4*b62*b440 - 54*b62*
     b444 + 180*b62*b453 + 198*b62*b482 - 18*b62*b485 + 172*b62*b490 + 88*b62*
     b491 + 20*b63*b69 + 164*b63*b72 + 74*b63*b74 + 34*b63*b84 - 66*b63*b88 + 
     188*b63*b94 - 118*b63*b107 + 82*b63*b129 + 76*b63*b130 + 36*b63*b143 - 88*
     b63*b148 - 146*b63*b153 + 166*b63*b158 + 94*b63*b176 - 68*b63*b185 - 44*
     b63*b190 + 80*b63*b191 - 38*b63*b205 - 42*b63*b217 + 4*b63*b233 + 76*b63*
     b234 - 172*b63*b239 + 66*b63*b249 + 86*b63*b256 - 56*b63*b261 + 82*b63*
     b284 - 16*b63*b306 + 30*b63*b307 + 178*b63*b309 + 112*b63*b334 - 150*b63*
     b367 - 44*b63*b370 + 54*b63*b371 + 102*b63*b373 - 70*b63*b381 - 40*b63*
     b384 + 44*b63*b395 - 142*b63*b403 + 4*b63*b417 + 200*b63*b439 - 4*b63*b452
      + 126*b63*b482 + 152*b63*b494 + 32*b64*b65 + 74*b64*b66 - 102*b64*b67 - 
     130*b64*b70 - 198*b64*b72 + 46*b64*b74 - 106*b64*b76 - 2*b64*b100 - 156*
     b64*b107 - 130*b64*b123 + 96*b64*b133 + 150*b64*b165 - 138*b64*b180 + 122*
     b64*b183 + 46*b64*b220 + 144*b64*b221 - 28*b64*b244 - 180*b64*b247 - 196*
     b64*b262 - 182*b64*b268 - 110*b64*b271 - 196*b64*b303 - 136*b64*b305 + 100
     *b64*b307 - 182*b64*b312 - 46*b64*b335 + 8*b64*b339 - 162*b64*b342 - 160*
     b64*b345 - 196*b64*b351 - 178*b64*b359 + 134*b64*b370 + 174*b64*b391 - 20*
     b64*b392 - 112*b64*b409 - 194*b64*b416 - 26*b64*b418 - 128*b64*b432 - 88*
     b64*b460 + 66*b64*b468 - 78*b64*b474 + 98*b64*b478 - 106*b65*b70 - 94*b65*
     b82 - 48*b65*b88 + 26*b65*b123 + 112*b65*b124 + 16*b65*b125 - 184*b65*b131
      + 84*b65*b137 - 144*b65*b148 + 122*b65*b154 - 168*b65*b157 - 148*b65*b168
      - 146*b65*b172 - 44*b65*b173 + 26*b65*b177 + 198*b65*b221 + 66*b65*b222
      + 4*b65*b227 - 150*b65*b229 + 196*b65*b262 + 78*b65*b266 + 176*b65*b270
      + 44*b65*b275 + 34*b65*b282 - 188*b65*b289 + 164*b65*b292 - 22*b65*b315
      - 128*b65*b345 + 150*b65*b349 + 170*b65*b366 - 136*b65*b373 + 78*b65*b375
      - 10*b65*b380 - 4*b65*b382 - 16*b65*b392 + 96*b65*b403 - 54*b65*b419 - 98
     *b65*b426 - 120*b65*b441 - 166*b65*b453 - 126*b65*b492 + 82*b65*b495 - 34*
     b66*b86 + 76*b66*b87 + 80*b66*b100 - 98*b66*b105 + 54*b66*b111 - 194*b66*
     b129 - 66*b66*b140 - 80*b66*b145 + 132*b66*b146 + 62*b66*b160 - 88*b66*
     b167 - 136*b66*b176 + 62*b66*b180 + 26*b66*b188 + 120*b66*b211 - 154*b66*
     b215 + 150*b66*b217 - 82*b66*b218 - 4*b66*b233 - 158*b66*b241 + 70*b66*
     b245 - 124*b66*b261 - 80*b66*b265 + 98*b66*b276 - 22*b66*b278 - 106*b66*
     b279 + 100*b66*b298 + 132*b66*b304 - 76*b66*b313 + 136*b66*b321 + 38*b66*
     b344 - 82*b66*b347 + 14*b66*b349 - 182*b66*b358 - 142*b66*b363 + 68*b66*
     b374 - 90*b66*b383 + 168*b66*b402 - 158*b66*b403 - 152*b66*b411 + 22*b66*
     b413 + 52*b66*b414 - 78*b66*b418 + 122*b66*b443 + 12*b66*b453 - 164*b66*
     b474 + 48*b66*b482 + 72*b66*b489 + 30*b67*b73 + 166*b67*b78 + 154*b67*b108
      + 144*b67*b111 + 112*b67*b143 + 152*b67*b146 + 62*b67*b162 + 170*b67*b172
      - 112*b67*b180 + 190*b67*b187 - 176*b67*b191 - 122*b67*b206 + 24*b67*b207
      - 196*b67*b208 - 56*b67*b215 + 156*b67*b221 - 172*b67*b223 + 170*b67*b228
      + 152*b67*b248 + 196*b67*b250 - 46*b67*b258 + 88*b67*b266 - 120*b67*b282
      + 152*b67*b286 - 48*b67*b287 + 88*b67*b293 + 84*b67*b305 - 48*b67*b319 - 
     78*b67*b328 + 82*b67*b335 + 110*b67*b336 + 70*b67*b373 - 120*b67*b378 - 
     148*b67*b390 - 62*b67*b393 - 24*b67*b396 - 72*b67*b406 - 84*b67*b407 + 94*
     b67*b442 - 184*b67*b450 + 16*b67*b451 + 78*b67*b476 + 8*b67*b478 - 90*b67*
     b492 + 32*b68*b78 - 92*b68*b89 + 120*b68*b90 - 148*b68*b97 + 170*b68*b100
      - 194*b68*b102 - 174*b68*b110 - 70*b68*b125 + 174*b68*b144 + 178*b68*b163
      + 50*b68*b175 - 170*b68*b186 - 54*b68*b190 - 100*b68*b198 - 172*b68*b211
      - 186*b68*b212 - 56*b68*b218 + 164*b68*b224 - 76*b68*b233 + 44*b68*b234
      - 180*b68*b252 + 192*b68*b272 - 94*b68*b298 + 10*b68*b311 + 162*b68*b319
      - 16*b68*b320 - 198*b68*b321 - 162*b68*b326 - 34*b68*b336 + 136*b68*b337
      + 94*b68*b343 - 178*b68*b349 + 56*b68*b353 - 22*b68*b388 + 106*b68*b410
      - 166*b68*b413 - 142*b68*b417 + 134*b68*b420 - 24*b68*b441 + 134*b68*b447
      + 42*b68*b449 - 152*b68*b465 + 92*b68*b468 - 112*b69*b82 + 38*b69*b83 - 
     138*b69*b95 - 158*b69*b99 + 4*b69*b111 + 80*b69*b145 + 128*b69*b153 - 64*
     b69*b155 + 6*b69*b175 - 14*b69*b183 - 194*b69*b184 + 72*b69*b192 + 36*b69*
     b194 - 184*b69*b203 - 110*b69*b223 - 38*b69*b234 - 8*b69*b238 - 14*b69*
     b243 + 196*b69*b259 + 132*b69*b266 + 188*b69*b270 - 58*b69*b275 + 6*b69*
     b300 + 16*b69*b303 - 26*b69*b307 - 96*b69*b357 - 52*b69*b375 + 22*b69*b391
      - 98*b69*b393 + 64*b69*b399 + 18*b69*b405 + 168*b69*b436 - 124*b69*b464
      - 18*b69*b465 - 112*b69*b466 + 66*b69*b495 - 86*b69*b501 + 100*b70*b78 + 
     46*b70*b79 - 14*b70*b93 - 76*b70*b100 + 42*b70*b136 - 40*b70*b149 + 136*
     b70*b157 - 62*b70*b162 + 104*b70*b163 - 192*b70*b166 + 42*b70*b170 - 66*
     b70*b176 - 4*b70*b206 + 38*b70*b231 - 80*b70*b240 + 200*b70*b251 + 36*b70*
     b252 - 170*b70*b261 - 24*b70*b262 - 8*b70*b263 - 130*b70*b268 + 4*b70*b282
      - 152*b70*b284 + 114*b70*b286 + 162*b70*b294 - 154*b70*b311 - 54*b70*b313
      + 46*b70*b329 + 66*b70*b336 + 92*b70*b358 - 182*b70*b366 - 10*b70*b380 - 
     130*b70*b381 + 122*b70*b387 + 14*b70*b410 - 40*b70*b418 + 40*b70*b420 + 60
     *b70*b422 + 160*b70*b428 - 42*b70*b445 - 164*b70*b451 + 46*b70*b457 - 90*
     b70*b458 + 4*b70*b460 + 28*b70*b477 + 174*b70*b480 - 44*b70*b488 - 140*b70
     *b490 + 104*b70*b492 - 108*b71*b79 - 110*b71*b80 + 186*b71*b99 + 114*b71*
     b104 - 2*b71*b106 - 54*b71*b113 + 52*b71*b119 + 94*b71*b132 - 82*b71*b137
      - 36*b71*b139 - 32*b71*b153 + 44*b71*b160 + 56*b71*b173 - 84*b71*b179 - 
     178*b71*b193 - 144*b71*b224 - 144*b71*b252 + 158*b71*b257 + 20*b71*b258 - 
     14*b71*b264 + 100*b71*b292 - 126*b71*b307 - 82*b71*b312 + 124*b71*b323 + 
     70*b71*b329 + 156*b71*b335 + 126*b71*b349 + 14*b71*b370 - 166*b71*b383 - 
     26*b71*b384 - 34*b71*b389 + 182*b71*b392 + 94*b71*b396 - 4*b71*b416 - 154*
     b71*b423 - 72*b71*b427 - 102*b71*b438 - 178*b71*b453 + 112*b71*b466 - 164*
     b71*b467 - 114*b71*b481 + 174*b71*b499 - 86*b71*b501 - 14*b72*b73 + 196*
     b72*b126 + 200*b72*b141 + 176*b72*b150 - 42*b72*b151 - 54*b72*b156 - 116*
     b72*b163 - 124*b72*b179 + 106*b72*b183 - 42*b72*b187 - 164*b72*b192 + 22*
     b72*b221 + 50*b72*b235 + 48*b72*b236 + 24*b72*b237 + 68*b72*b243 - 80*b72*
     b262 + 34*b72*b264 - 84*b72*b278 - 128*b72*b285 + 66*b72*b291 - 32*b72*
     b294 - 192*b72*b304 - 140*b72*b306 - 104*b72*b317 - 70*b72*b321 + 198*b72*
     b323 - 136*b72*b324 + 146*b72*b345 + 118*b72*b355 - 164*b72*b357 - 130*b72
     *b361 + 92*b72*b389 + 140*b72*b429 + 66*b72*b433 - 102*b72*b441 - 56*b72*
     b454 + 182*b72*b477 - 38*b72*b482 + 12*b72*b486 - 58*b72*b492 + 110*b73*
     b96 - 134*b73*b97 + 178*b73*b104 - 150*b73*b124 + 146*b73*b128 - 14*b73*
     b138 + 130*b73*b149 - 96*b73*b163 - 114*b73*b186 - 30*b73*b220 - 156*b73*
     b234 + 58*b73*b235 - 140*b73*b255 - 174*b73*b265 + 10*b73*b267 + 198*b73*
     b290 + 168*b73*b300 - 102*b73*b312 + 62*b73*b313 + 36*b73*b315 + 14*b73*
     b322 - 102*b73*b323 - 86*b73*b343 - 80*b73*b344 + 84*b73*b346 + 140*b73*
     b359 + 136*b73*b384 + 112*b73*b385 - 24*b73*b393 + 136*b73*b479 - 196*b74*
     b76 - 154*b74*b79 - 110*b74*b80 + 82*b74*b99 + 24*b74*b101 + 4*b74*b103 - 
     120*b74*b111 + 134*b74*b115 - 140*b74*b117 + 70*b74*b132 - 74*b74*b136 + 
     48*b74*b143 + 178*b74*b159 - 84*b74*b167 - 174*b74*b181 + 126*b74*b185 + 
     38*b74*b199 + 2*b74*b200 + 96*b74*b206 + 166*b74*b220 + 108*b74*b235 + 182
     *b74*b236 + 30*b74*b242 + 146*b74*b246 - 96*b74*b253 - 142*b74*b258 + 18*
     b74*b260 - 162*b74*b264 + 198*b74*b267 + 70*b74*b282 - 162*b74*b283 + 138*
     b74*b300 - 152*b74*b301 - 54*b74*b304 - 102*b74*b315 + 100*b74*b316 - 130*
     b74*b334 + 190*b74*b339 + 176*b74*b346 - 34*b74*b359 + 12*b74*b372 + 6*b74
     *b379 + 106*b74*b381 - 170*b74*b415 + 118*b74*b416 - 108*b74*b427 - 84*b75
     *b77 - 160*b75*b87 - 18*b75*b100 - 40*b75*b109 + 16*b75*b112 + 126*b75*
     b115 + 144*b75*b119 + 184*b75*b123 + 68*b75*b137 + 182*b75*b159 - 58*b75*
     b194 + 62*b75*b196 + 104*b75*b202 + 156*b75*b209 - 194*b75*b210 - 196*b75*
     b231 + 96*b75*b239 + 186*b75*b253 - 24*b75*b288 + 184*b75*b292 + 140*b75*
     b309 + 88*b75*b322 + 104*b75*b325 + 168*b75*b327 + 34*b75*b334 + 178*b75*
     b341 - 160*b75*b374 - 126*b75*b376 - 182*b75*b381 - 16*b75*b388 + 12*b75*
     b397 + 198*b75*b402 + 172*b75*b422 + 92*b75*b431 + 100*b75*b434 - 72*b75*
     b441 + 126*b75*b457 - 14*b75*b472 - 66*b75*b496 + 100*b76*b99 - 58*b76*
     b109 - 126*b76*b111 + 12*b76*b121 + 178*b76*b137 - 14*b76*b148 + 78*b76*
     b177 + 160*b76*b201 + 32*b76*b207 + 26*b76*b212 - 122*b76*b216 - 192*b76*
     b223 + 198*b76*b233 - 76*b76*b260 + 46*b76*b265 - 100*b76*b269 - 188*b76*
     b307 - 92*b76*b316 - 128*b76*b328 + 16*b76*b341 - 122*b76*b344 - 70*b76*
     b346 + 92*b76*b377 + 50*b76*b381 + 160*b76*b400 - 104*b76*b404 - 40*b76*
     b405 - 144*b76*b410 + 138*b76*b419 - 40*b76*b434 + 166*b76*b435 - 12*b76*
     b448 + 66*b76*b463 - 12*b76*b464 + 172*b76*b476 - 98*b76*b482 + 76*b76*
     b487 + 146*b76*b497 + 36*b77*b83 + 120*b77*b86 - 96*b77*b93 + 174*b77*b97
      - 54*b77*b125 + 40*b77*b144 + 72*b77*b152 - 38*b77*b164 + 130*b77*b181 - 
     30*b77*b191 + 54*b77*b192 - 14*b77*b201 - 20*b77*b207 - 86*b77*b213 + 126*
     b77*b215 - 170*b77*b223 + 168*b77*b225 + 196*b77*b231 - 54*b77*b235 + 16*
     b77*b239 - 190*b77*b250 - 188*b77*b259 + 40*b77*b262 + 164*b77*b272 + 166*
     b77*b275 - 188*b77*b277 + 34*b77*b295 + 106*b77*b299 - 196*b77*b303 + 36*
     b77*b315 - 164*b77*b320 - 70*b77*b323 + 106*b77*b326 - 90*b77*b338 - 76*
     b77*b349 + 162*b77*b354 + 96*b77*b389 - 30*b77*b394 + 48*b77*b415 + 152*
     b77*b435 + 110*b77*b438 + 186*b77*b449 - 74*b77*b482 - 16*b77*b500 - 194*
     b78*b109 - 14*b78*b119 - 176*b78*b120 + 138*b78*b125 + 146*b78*b131 - 142*
     b78*b137 + 182*b78*b143 - 142*b78*b146 + 148*b78*b152 - 88*b78*b153 + 62*
     b78*b157 - 38*b78*b165 + 170*b78*b187 - 164*b78*b196 - 176*b78*b198 + 26*
     b78*b200 - 118*b78*b203 - 110*b78*b219 - 10*b78*b220 - 38*b78*b222 - 50*
     b78*b226 - 186*b78*b227 - 198*b78*b232 + 164*b78*b244 + 144*b78*b259 + 98*
     b78*b268 - 120*b78*b270 + 52*b78*b297 - 170*b78*b308 - 142*b78*b309 + 166*
     b78*b313 - 36*b78*b316 + 120*b78*b338 - 66*b78*b349 - 6*b78*b357 - 68*b78*
     b384 + 36*b78*b389 + 94*b78*b418 - 28*b78*b424 - 160*b78*b438 + 12*b78*
     b442 + 80*b78*b465 - 102*b78*b471 - 16*b78*b475 - 70*b78*b489 - 136*b79*
     b94 + 40*b79*b108 - 84*b79*b127 + 142*b79*b130 + 190*b79*b160 - 124*b79*
     b166 - 110*b79*b207 - 80*b79*b211 - 160*b79*b237 + 30*b79*b240 - 60*b79*
     b243 - 56*b79*b248 + 88*b79*b266 - 154*b79*b273 - 78*b79*b304 + 70*b79*
     b310 - 64*b79*b316 - 6*b79*b333 - 152*b79*b344 - 126*b79*b347 + 166*b79*
     b362 - 110*b79*b376 + 60*b79*b413 - 126*b79*b417 - 188*b79*b424 + 140*b79*
     b429 + 90*b79*b431 + 82*b79*b452 - 156*b79*b462 + 114*b79*b465 - 116*b79*
     b481 - 4*b79*b497 + 122*b80*b90 + 192*b80*b95 - 38*b80*b104 + 42*b80*b110
      + 142*b80*b113 - 152*b80*b115 + 42*b80*b128 - 126*b80*b149 - 20*b80*b152
      + 104*b80*b162 + 118*b80*b168 - 170*b80*b172 - 16*b80*b191 - 128*b80*b208
      - 60*b80*b233 - 56*b80*b239 + 124*b80*b244 + 4*b80*b256 - 62*b80*b261 - 
     50*b80*b269 + 10*b80*b271 + 132*b80*b272 + 118*b80*b282 + 96*b80*b301 - 
     170*b80*b331 - 152*b80*b338 - 2*b80*b349 - 68*b80*b369 + 96*b80*b386 + 168
     *b80*b387 + 78*b80*b389 - 192*b80*b392 + 136*b80*b403 - 180*b80*b405 - 162
     *b80*b412 + 180*b80*b454 - 114*b80*b466 + 8*b80*b469 + 194*b80*b476 - 188*
     b80*b484 - 176*b80*b495 - 146*b80*b496 + 72*b80*b497 - 52*b81*b84 + 116*
     b81*b94 + 168*b81*b101 + 120*b81*b122 + 106*b81*b124 + 164*b81*b155 + 198*
     b81*b156 - 110*b81*b170 + 14*b81*b193 - 184*b81*b198 + 78*b81*b203 - 42*
     b81*b218 - 138*b81*b239 + 102*b81*b247 + 102*b81*b256 + 170*b81*b261 - 18*
     b81*b273 + 2*b81*b285 + 170*b81*b287 + 8*b81*b290 - 186*b81*b294 + 194*b81
     *b300 - 14*b81*b307 + 166*b81*b323 - 4*b81*b340 - 144*b81*b345 + 182*b81*
     b347 - 176*b81*b354 - 164*b81*b361 - 26*b81*b367 + 184*b81*b373 - 146*b81*
     b399 - 86*b81*b436 - 174*b81*b444 + 180*b81*b460 + 18*b81*b461 - 140*b81*
     b472 + 198*b81*b474 - 84*b81*b487 + 94*b81*b492 - 76*b82*b98 + 28*b82*b100
      + 76*b82*b107 - 170*b82*b112 + 172*b82*b116 + 10*b82*b128 - 54*b82*b134
      - 38*b82*b142 + 120*b82*b144 - 32*b82*b167 - 46*b82*b181 - 114*b82*b225
      + 140*b82*b230 + 20*b82*b234 - 114*b82*b244 + 36*b82*b269 - 78*b82*b272
      - 24*b82*b275 - 116*b82*b277 + 172*b82*b283 + 94*b82*b284 - 130*b82*b286
      + 80*b82*b294 + 40*b82*b296 + 12*b82*b297 - 74*b82*b320 - 50*b82*b370 - 
     30*b82*b371 - 168*b82*b381 - 154*b82*b383 - 44*b82*b409 + 108*b82*b415 + 
     196*b82*b421 + 42*b82*b423 + 8*b82*b438 - 158*b82*b439 - 178*b82*b451 + 
     130*b82*b452 + 106*b82*b459 + 4*b82*b467 + 144*b83*b89 + 150*b83*b91 - 36*
     b83*b101 - 38*b83*b150 + 114*b83*b169 - 116*b83*b180 + 146*b83*b181 + 168*
     b83*b210 + 70*b83*b219 + 196*b83*b235 + 94*b83*b237 + 194*b83*b257 + 180*
     b83*b262 + 18*b83*b303 + 118*b83*b311 + 152*b83*b321 + 12*b83*b332 - 148*
     b83*b334 - 14*b83*b342 + 130*b83*b354 + 130*b83*b364 + 8*b83*b400 - 18*b83
     *b407 + 94*b83*b408 - 118*b83*b417 - 120*b83*b418 - 150*b83*b425 + 170*b83
     *b436 + 84*b83*b458 + 50*b83*b465 + 54*b83*b467 + 54*b83*b473 + 16*b83*
     b476 - 102*b83*b491 + 52*b83*b498 - 98*b83*b499 - 176*b84*b92 - 18*b84*b95
      + 72*b84*b105 - 54*b84*b116 + 138*b84*b165 - 130*b84*b173 - 50*b84*b189
      + 108*b84*b192 + 194*b84*b245 + 152*b84*b254 + 98*b84*b289 - 66*b84*b309
      - 144*b84*b312 - 76*b84*b325 - 22*b84*b337 + 102*b84*b346 - 156*b84*b360
      - 140*b84*b387 + 74*b84*b398 - 144*b84*b438 - 110*b84*b451 + 188*b84*b458
      - 46*b84*b459 - 166*b84*b463 + 188*b84*b473 + 142*b84*b480 - 136*b84*b484
      + 28*b84*b485 + 22*b84*b500 - 34*b85*b120 - 194*b85*b121 + 132*b85*b127
      - 38*b85*b140 + 48*b85*b141 + 60*b85*b151 - 116*b85*b155 + 58*b85*b157 + 
     102*b85*b164 + 172*b85*b182 + 136*b85*b191 - 104*b85*b196 - 178*b85*b199
      + 148*b85*b227 - 98*b85*b228 - 192*b85*b274 + 80*b85*b301 + 46*b85*b303
      + 180*b85*b305 + 156*b85*b321 - 164*b85*b334 + 52*b85*b335 - 114*b85*b355
      - 114*b85*b363 + 4*b85*b365 - 94*b85*b366 + 80*b85*b412 - 94*b85*b427 + 
     94*b85*b431 - 136*b85*b432 - 180*b85*b435 + 38*b85*b438 - 64*b85*b444 - 82
     *b85*b456 - 186*b85*b458 - 104*b85*b459 + 88*b85*b468 - 194*b85*b484 - 186
     *b85*b485 - 164*b85*b491 - 122*b86*b104 + 108*b86*b109 - 82*b86*b111 + 88*
     b86*b117 + 128*b86*b142 - 64*b86*b149 - 114*b86*b152 + 66*b86*b153 - 132*
     b86*b166 + 126*b86*b180 - 102*b86*b187 + 78*b86*b197 - 126*b86*b199 + 118*
     b86*b209 + 82*b86*b210 - 104*b86*b216 - 124*b86*b225 + 94*b86*b239 + 138*
     b86*b241 - 178*b86*b242 + 98*b86*b252 - 104*b86*b260 + 136*b86*b261 - 184*
     b86*b272 + 186*b86*b278 - 56*b86*b294 + 74*b86*b303 + 170*b86*b330 - 34*
     b86*b332 - 68*b86*b344 - 154*b86*b362 - 82*b86*b368 + 156*b86*b394 - 32*
     b86*b401 - 34*b86*b403 + 88*b86*b407 - 22*b86*b409 + 150*b86*b424 + 66*b86
     *b430 + 140*b86*b452 - 6*b86*b473 + 54*b86*b484 - 86*b86*b490 - 18*b87*
     b107 - 90*b87*b131 + 36*b87*b134 + 6*b87*b140 - 192*b87*b142 + 154*b87*
     b145 + 178*b87*b160 - 158*b87*b176 - 132*b87*b191 - 102*b87*b193 - 2*b87*
     b202 - 98*b87*b208 - 38*b87*b211 - 72*b87*b214 + 150*b87*b222 + 136*b87*
     b232 + 156*b87*b236 - 106*b87*b243 + 38*b87*b245 - 8*b87*b265 + 144*b87*
     b299 + 152*b87*b324 + 52*b87*b329 + 6*b87*b355 + 70*b87*b358 - 24*b87*b359
      + 22*b87*b364 - 56*b87*b379 - 152*b87*b384 - 44*b87*b396 - 148*b87*b399
      - 42*b87*b412 + 180*b87*b419 + 176*b87*b432 + 132*b87*b435 + 138*b87*b439
      + 36*b87*b445 - 110*b87*b446 - 170*b87*b468 - 172*b87*b469 + 60*b87*b474
      + 24*b87*b475 - 72*b87*b477 + 46*b87*b484 + 126*b87*b488 + 26*b88*b94 - 
     190*b88*b98 + 162*b88*b106 + 110*b88*b110 - 24*b88*b113 - 170*b88*b116 - 
     70*b88*b129 + 34*b88*b136 - 14*b88*b151 - 102*b88*b179 + 144*b88*b185 - 64
     *b88*b190 + 52*b88*b200 - 134*b88*b204 + 128*b88*b210 + 22*b88*b224 - 48*
     b88*b237 - 102*b88*b251 + 154*b88*b254 - 56*b88*b260 - 136*b88*b278 + 14*
     b88*b291 + 114*b88*b309 + 68*b88*b313 + 176*b88*b329 + 128*b88*b339 + 190*
     b88*b341 + 126*b88*b347 + 194*b88*b359 - 150*b88*b389 + 8*b88*b395 + 92*
     b88*b401 + 102*b88*b409 + 118*b88*b413 + 156*b88*b417 + 132*b88*b422 + 12*
     b88*b427 - 48*b88*b434 - 126*b88*b455 - 42*b88*b477 - 136*b88*b487 + 40*
     b88*b490 - 162*b89*b99 + 136*b89*b118 - 134*b89*b122 + 172*b89*b130 + 148*
     b89*b141 - 110*b89*b147 - 46*b89*b148 - 110*b89*b154 - 102*b89*b158 - 188*
     b89*b182 + 128*b89*b193 - 122*b89*b196 + 156*b89*b197 - 82*b89*b199 - 42*
     b89*b243 - 26*b89*b244 - 130*b89*b245 - 18*b89*b256 + 36*b89*b287 + 198*
     b89*b301 + 74*b89*b303 + 48*b89*b318 + 86*b89*b338 + 132*b89*b353 - 10*b89
     *b363 - 104*b89*b366 - 152*b89*b386 + 146*b89*b393 + 194*b89*b395 - 132*
     b89*b400 - 180*b89*b403 + 16*b89*b405 + 70*b89*b418 + 130*b89*b432 - 64*
     b89*b435 - 42*b89*b447 - 28*b89*b460 - 156*b89*b461 + 50*b89*b466 - 130*
     b89*b483 - 32*b89*b486 + 120*b89*b492 + 34*b90*b105 - 130*b90*b108 + 40*
     b90*b118 + 72*b90*b123 + 194*b90*b139 - 190*b90*b143 + 60*b90*b161 + 134*
     b90*b175 - 22*b90*b177 + 4*b90*b178 + 80*b90*b184 + 58*b90*b202 + 82*b90*
     b215 + 170*b90*b220 + 58*b90*b254 + 22*b90*b262 - 30*b90*b268 - 102*b90*
     b298 - 194*b90*b309 + 120*b90*b316 + 180*b90*b323 + 188*b90*b332 + 110*b90
     *b343 - 108*b90*b351 - 152*b90*b352 + 62*b90*b361 + 180*b90*b362 + 36*b90*
     b366 - 152*b90*b367 + 152*b90*b376 + 94*b90*b379 - 114*b90*b399 - 166*b90*
     b400 - 172*b90*b403 - 120*b90*b425 + 102*b90*b439 - 174*b90*b444 + 46*b90*
     b448 - 14*b90*b453 - 52*b90*b460 - 188*b90*b471 - 122*b90*b483 - 38*b90*
     b496 + 28*b90*b497 + 30*b91*b99 + 4*b91*b112 - 74*b91*b118 + 154*b91*b128
      + 74*b91*b131 - 78*b91*b133 - 84*b91*b143 - 72*b91*b148 - 58*b91*b152 + 
     174*b91*b163 - 36*b91*b190 + 26*b91*b201 + 70*b91*b204 + 52*b91*b205 - 24*
     b91*b212 - 144*b91*b231 - 110*b91*b234 + 94*b91*b235 + 108*b91*b238 + 98*
     b91*b248 + 122*b91*b250 + 26*b91*b258 - 38*b91*b273 + 178*b91*b274 + 124*
     b91*b289 - 150*b91*b300 + 164*b91*b303 - 20*b91*b321 - 52*b91*b327 + 152*
     b91*b343 + 124*b91*b346 + 28*b91*b349 - 52*b91*b361 + 198*b91*b379 - 44*
     b91*b392 - 148*b91*b395 - 112*b91*b396 - 186*b91*b412 + 6*b91*b422 - 102*
     b91*b429 - 98*b91*b436 - 78*b91*b449 - 34*b91*b463 + 198*b91*b466 + 30*b91
     *b469 - 66*b91*b484 + 148*b91*b500 - 22*b91*b501 + 62*b92*b105 - 192*b92*
     b140 - 136*b92*b142 - 162*b92*b165 + 134*b92*b222 + 24*b92*b223 + 84*b92*
     b225 + 190*b92*b227 + 46*b92*b251 - 172*b92*b252 + 10*b92*b265 + 18*b92*
     b272 + 80*b92*b274 + 168*b92*b276 - 20*b92*b277 + 146*b92*b281 - 78*b92*
     b287 + 120*b92*b288 - 32*b92*b302 - 4*b92*b309 + 172*b92*b310 - 94*b92*
     b334 - 78*b92*b342 + 46*b92*b345 + 30*b92*b366 - 92*b92*b379 + 120*b92*
     b398 - 76*b92*b399 + 168*b92*b408 + 156*b92*b411 - 114*b92*b420 - 12*b92*
     b435 + 102*b92*b445 + 12*b92*b448 - 96*b92*b449 + 176*b92*b450 - 42*b92*
     b454 + 150*b92*b471 + 152*b92*b490 - 60*b93*b96 + 26*b93*b107 + 88*b93*
     b111 + 86*b93*b143 - 142*b93*b148 - 34*b93*b164 - 54*b93*b174 + 148*b93*
     b176 - 40*b93*b177 + 150*b93*b194 - 164*b93*b205 - 138*b93*b231 - 116*b93*
     b234 - 36*b93*b238 + 22*b93*b254 + 66*b93*b259 - 126*b93*b264 - 190*b93*
     b266 - 152*b93*b275 + 70*b93*b297 + 62*b93*b301 + 108*b93*b303 + 66*b93*
     b312 + 56*b93*b313 - 108*b93*b335 + 50*b93*b343 + 112*b93*b349 - 108*b93*
     b353 - 132*b93*b370 - 162*b93*b375 - 130*b93*b380 + 180*b93*b383 - 26*b93*
     b406 - 132*b93*b409 + 98*b93*b411 - 132*b93*b416 - 52*b93*b417 - 88*b93*
     b418 + 160*b93*b420 - 180*b93*b433 + 116*b93*b438 - 196*b93*b459 - 28*b93*
     b468 - 66*b93*b469 + 70*b93*b470 + 78*b93*b498 - 56*b94*b114 - 166*b94*
     b124 - 52*b94*b138 - 106*b94*b145 - 120*b94*b151 - 48*b94*b157 + 72*b94*
     b159 - 140*b94*b161 + 132*b94*b164 - 50*b94*b176 + 88*b94*b192 + 108*b94*
     b208 + 14*b94*b211 + 164*b94*b215 - 36*b94*b224 + 146*b94*b230 - 194*b94*
     b236 - 156*b94*b246 + 192*b94*b263 - 140*b94*b269 - 100*b94*b284 + 84*b94*
     b293 + 114*b94*b357 + 38*b94*b365 + 128*b94*b368 + 164*b94*b376 + 186*b94*
     b391 - 160*b94*b409 + 26*b94*b414 - 126*b94*b442 - 72*b94*b443 - 106*b94*
     b450 - 180*b94*b452 - 4*b94*b477 - 66*b95*b96 + 60*b95*b115 - 152*b95*b117
      + 52*b95*b141 + 178*b95*b154 - 108*b95*b161 + 78*b95*b162 - 190*b95*b190
      + 80*b95*b192 - 138*b95*b205 + 100*b95*b234 + 66*b95*b237 - 164*b95*b260
      - 150*b95*b265 + 126*b95*b268 + 28*b95*b284 - 198*b95*b286 + 108*b95*b288
      + 162*b95*b314 - 6*b95*b315 + 136*b95*b319 - 150*b95*b323 + 132*b95*b326
      + 104*b95*b355 - 164*b95*b397 + 16*b95*b414 + 178*b95*b418 - 158*b95*b424
      + 184*b95*b461 + 160*b95*b467 - 44*b95*b486 - 136*b96*b111 + 38*b96*b122
      - 34*b96*b141 - 32*b96*b145 - 52*b96*b148 + 58*b96*b154 - 102*b96*b163 - 
     116*b96*b165 + 68*b96*b169 + 138*b96*b176 + 138*b96*b179 - 196*b96*b186 - 
     94*b96*b196 - 86*b96*b208 - 28*b96*b214 - 126*b96*b216 - 16*b96*b217 + 182
     *b96*b244 - 74*b96*b247 + 126*b96*b258 - 104*b96*b259 + 178*b96*b262 - 188
     *b96*b313 + 28*b96*b317 + 172*b96*b328 + 28*b96*b333 + 188*b96*b336 + 22*
     b96*b349 + 144*b96*b359 + 84*b96*b384 + 74*b96*b424 + 36*b96*b437 - 18*b96
     *b441 - 74*b96*b451 - 140*b96*b479 - 148*b97*b98 - 142*b97*b116 + 166*b97*
     b117 + 96*b97*b119 + 94*b97*b123 - 36*b97*b133 + 70*b97*b141 - 190*b97*
     b143 - 132*b97*b160 + 68*b97*b184 + 94*b97*b187 - 158*b97*b193 + 22*b97*
     b204 - 28*b97*b215 - 82*b97*b223 + 98*b97*b251 - 44*b97*b254 + 154*b97*
     b272 - 56*b97*b273 - 122*b97*b288 - 76*b97*b317 + 134*b97*b322 - 64*b97*
     b324 + 138*b97*b325 + 194*b97*b326 - 24*b97*b361 - 136*b97*b362 + 182*b97*
     b365 + 96*b97*b376 - 80*b97*b379 - 74*b97*b381 - 54*b97*b385 - 186*b97*
     b398 - 178*b97*b411 - 110*b97*b423 - 100*b97*b436 + 158*b97*b446 + 200*b97
     *b447 + 60*b97*b455 - 118*b97*b475 - 32*b97*b479 - 54*b97*b491 - 108*b98*
     b125 - 158*b98*b141 - 54*b98*b146 - 110*b98*b149 + 160*b98*b159 + 170*b98*
     b166 + 170*b98*b176 - 110*b98*b181 - 82*b98*b187 - 4*b98*b200 - 96*b98*
     b213 - 188*b98*b220 + 130*b98*b234 - 86*b98*b247 - 44*b98*b248 - 98*b98*
     b249 + 118*b98*b256 + 80*b98*b270 - 28*b98*b284 - 100*b98*b301 + 192*b98*
     b316 - 60*b98*b320 - 134*b98*b322 - 152*b98*b327 + 122*b98*b342 + 182*b98*
     b347 - 84*b98*b357 - 140*b98*b396 + 90*b98*b403 - 134*b98*b417 - 74*b98*
     b424 - 30*b98*b426 + 166*b98*b442 - 194*b98*b445 + 162*b98*b446 + 12*b98*
     b469 + 28*b98*b472 - 140*b98*b495 - 194*b98*b499 - 184*b98*b500 - 82*b99*
     b109 + 130*b99*b120 - 72*b99*b121 - 4*b99*b137 - 74*b99*b146 + 116*b99*
     b151 + 30*b99*b152 - 112*b99*b158 + 60*b99*b161 + 18*b99*b180 + 180*b99*
     b195 + 84*b99*b198 + 40*b99*b209 - 58*b99*b217 + 174*b99*b221 + 38*b99*
     b224 + 146*b99*b245 + 194*b99*b266 + 50*b99*b268 + 12*b99*b287 + 146*b99*
     b294 - 40*b99*b306 + 102*b99*b314 - 104*b99*b331 - 132*b99*b336 + 24*b99*
     b340 - 94*b99*b417 + 120*b99*b437 + 8*b99*b449 - 112*b99*b455 + 24*b99*
     b466 + 146*b99*b471 + 128*b99*b476 - 64*b99*b480 - 70*b100*b113 + 126*b100
     *b127 + 30*b100*b128 + 188*b100*b144 + 158*b100*b151 + 36*b100*b180 + 186*
     b100*b187 + 14*b100*b205 - 20*b100*b235 - 4*b100*b259 + 4*b100*b263 - 44*
     b100*b265 - 190*b100*b268 - 174*b100*b273 - 76*b100*b278 - 192*b100*b299
      - 108*b100*b308 + 58*b100*b316 + 158*b100*b317 + 194*b100*b321 - 138*b100
     *b322 - 14*b100*b329 + 22*b100*b339 - 18*b100*b340 + 162*b100*b345 + 190*
     b100*b349 - 14*b100*b355 - 128*b100*b359 + 34*b100*b371 + 2*b100*b399 + 
     158*b100*b430 - 90*b100*b432 + 94*b100*b445 + 170*b100*b447 + 42*b100*b451
      + 70*b100*b455 + 166*b100*b481 - 150*b100*b483 - 96*b100*b487 + 82*b100*
     b488 + 114*b100*b492 + 90*b101*b108 - 152*b101*b115 - 70*b101*b124 + 134*
     b101*b125 - 38*b101*b136 + 134*b101*b147 + 146*b101*b161 + 120*b101*b173
      + 148*b101*b192 - 124*b101*b196 - 30*b101*b207 - 104*b101*b209 - 74*b101*
     b232 + 104*b101*b233 + 104*b101*b252 + 190*b101*b258 - 112*b101*b271 - 138
     *b101*b293 + 136*b101*b317 + 188*b101*b347 - 62*b101*b400 + 32*b101*b404
      - 106*b101*b420 + 172*b101*b428 - 86*b101*b435 + 96*b101*b440 - 82*b101*
     b443 - 30*b101*b447 - 94*b101*b448 + 90*b101*b453 + 50*b101*b460 + 106*
     b101*b463 - 90*b101*b480 - 56*b101*b496 + 68*b102*b117 + 124*b102*b124 - 
     60*b102*b127 + 122*b102*b128 + 32*b102*b139 - 48*b102*b140 - 26*b102*b145
      - 174*b102*b147 + 102*b102*b153 - 154*b102*b167 - 154*b102*b181 - 178*
     b102*b194 - 78*b102*b198 - 44*b102*b214 - 128*b102*b215 + 144*b102*b219 + 
     58*b102*b226 + 82*b102*b257 + 170*b102*b261 + 64*b102*b262 + 110*b102*b282
      - 150*b102*b284 - 156*b102*b286 + 18*b102*b287 - 108*b102*b319 - 48*b102*
     b323 + 170*b102*b327 - 52*b102*b340 - 60*b102*b376 - 138*b102*b379 + 170*
     b102*b391 + 74*b102*b406 - 14*b102*b413 + 188*b102*b414 + 70*b102*b419 + 
     176*b102*b433 + 134*b102*b435 - 26*b102*b440 + 32*b102*b473 - 76*b102*b482
      - 194*b102*b491 + 46*b103*b112 + 142*b103*b116 + 196*b103*b137 - 72*b103*
     b140 - 190*b103*b142 + 152*b103*b152 - 2*b103*b158 + 32*b103*b159 - 86*
     b103*b160 + 130*b103*b164 + 124*b103*b165 + 188*b103*b177 - 110*b103*b178
      - 4*b103*b209 + 140*b103*b211 - 158*b103*b212 - 76*b103*b215 - 138*b103*
     b229 + 100*b103*b233 + 86*b103*b236 + 54*b103*b247 - 140*b103*b249 + 48*
     b103*b253 - 144*b103*b276 + 184*b103*b303 - 164*b103*b325 + 156*b103*b344
      + 72*b103*b345 + 30*b103*b362 + 114*b103*b376 + 66*b103*b378 - 152*b103*
     b381 - 174*b103*b400 + 68*b103*b409 - 32*b103*b410 + 110*b103*b418 - 62*
     b103*b424 - 72*b103*b430 + 40*b103*b439 + 60*b103*b448 + 22*b103*b459 - 
     102*b103*b461 + 88*b103*b467 + 64*b103*b474 - 136*b103*b501 + 82*b104*b111
      - 132*b104*b114 + 4*b104*b125 + 196*b104*b128 + 92*b104*b155 + 64*b104*
     b173 - 194*b104*b175 + 186*b104*b197 + 66*b104*b199 - 110*b104*b205 + 46*
     b104*b206 + 200*b104*b228 - 86*b104*b229 + 84*b104*b231 - 196*b104*b232 + 
     70*b104*b233 + 90*b104*b259 - 124*b104*b261 - 140*b104*b289 + 108*b104*
     b325 - 114*b104*b330 - 144*b104*b335 - 98*b104*b344 - 26*b104*b363 - 48*
     b104*b364 - 52*b104*b370 - 108*b104*b372 + 130*b104*b375 - 48*b104*b377 - 
     78*b104*b390 + 56*b104*b391 - 136*b104*b403 - 26*b104*b434 - 196*b104*b437
      - 86*b104*b439 + 78*b104*b444 - 188*b104*b446 - 62*b104*b456 + 46*b104*
     b459 + 194*b104*b491 + 166*b104*b500 - 186*b105*b114 + 150*b105*b120 + 62*
     b105*b121 - 150*b105*b124 + 86*b105*b148 - 22*b105*b151 + 8*b105*b199 + 54
     *b105*b204 + 72*b105*b211 + 198*b105*b212 - 108*b105*b242 + 126*b105*b247
      + 170*b105*b253 + 58*b105*b261 + 114*b105*b264 - 56*b105*b273 + 36*b105*
     b275 + 142*b105*b281 - 178*b105*b286 + 198*b105*b295 + 136*b105*b297 - 18*
     b105*b320 - 108*b105*b321 - 168*b105*b323 - 72*b105*b327 - 150*b105*b331
      + 78*b105*b356 + 200*b105*b366 + 124*b105*b367 - 70*b105*b393 - 118*b105*
     b396 - 164*b105*b400 + 140*b105*b402 - 84*b105*b430 - 138*b105*b433 + 2*
     b105*b445 - 14*b105*b463 - 12*b105*b482 - 4*b105*b483 + 144*b105*b486 + 
     110*b105*b490 - 144*b105*b493 - 106*b106*b147 + 172*b106*b152 + 72*b106*
     b177 + 64*b106*b221 + 156*b106*b224 - 24*b106*b226 - 116*b106*b231 + 118*
     b106*b241 - 172*b106*b251 + 176*b106*b254 + 20*b106*b261 + 44*b106*b265 - 
     92*b106*b276 + 136*b106*b284 + 98*b106*b295 + 12*b106*b296 + 164*b106*b300
      - 30*b106*b329 - 66*b106*b330 + 68*b106*b337 + 122*b106*b339 - 14*b106*
     b341 - 6*b106*b365 - 16*b106*b371 - 148*b106*b383 - 2*b106*b386 + 172*b106
     *b392 + 146*b106*b396 + 170*b106*b403 - 52*b106*b429 + 90*b106*b432 + 20*
     b106*b436 + 100*b106*b443 - 56*b106*b445 - 56*b106*b460 + 184*b106*b464 - 
     168*b106*b485 - 78*b106*b492 - 138*b106*b498 - 96*b107*b112 + 164*b107*
     b117 + 6*b107*b121 - 54*b107*b137 + 76*b107*b166 + 128*b107*b171 + 60*b107
     *b179 - 8*b107*b187 - 198*b107*b190 - 80*b107*b199 - 114*b107*b216 - 68*
     b107*b231 + 158*b107*b256 - 138*b107*b262 + 174*b107*b270 + 6*b107*b275 - 
     62*b107*b287 - 14*b107*b295 - 132*b107*b311 - 30*b107*b312 - 110*b107*b320
      - 20*b107*b338 - 26*b107*b339 - 40*b107*b353 + 26*b107*b362 - 82*b107*
     b374 + 38*b107*b404 + 182*b107*b406 + 8*b107*b420 + 68*b107*b432 + 82*b107
     *b451 + 168*b107*b457 - 122*b107*b471 + 158*b107*b473 - 136*b107*b474 - 
     106*b107*b485 - 186*b108*b139 + 58*b108*b142 + 142*b108*b146 - 74*b108*
     b182 + 166*b108*b195 + 140*b108*b209 + 78*b108*b212 + 140*b108*b240 + 16*
     b108*b254 + 164*b108*b260 + 20*b108*b288 + 122*b108*b293 - 18*b108*b301 + 
     192*b108*b306 - 98*b108*b318 - 88*b108*b324 - 2*b108*b329 + 134*b108*b345
      + 102*b108*b365 - 196*b108*b367 + 116*b108*b370 - 30*b108*b373 + 40*b108*
     b376 + 18*b108*b380 - 112*b108*b399 - 80*b108*b402 - 22*b108*b414 - 126*
     b108*b421 + 178*b108*b440 + 140*b108*b449 - 50*b108*b474 - 20*b108*b485 - 
     10*b109*b113 - 196*b109*b120 - 108*b109*b121 + 48*b109*b149 + 158*b109*
     b156 - 52*b109*b166 - 118*b109*b169 + 178*b109*b184 - 70*b109*b186 + 66*
     b109*b232 + 92*b109*b236 - 184*b109*b276 + 42*b109*b286 + 126*b109*b289 - 
     86*b109*b296 + 130*b109*b301 - 106*b109*b304 + 162*b109*b316 - 130*b109*
     b319 - 176*b109*b331 - 96*b109*b342 - 72*b109*b359 + 112*b109*b370 + 110*
     b109*b374 + 172*b109*b375 + 164*b109*b378 + 18*b109*b394 + 28*b109*b395 - 
     178*b109*b400 - 178*b109*b407 + 138*b109*b410 + 80*b109*b412 - 112*b109*
     b413 - 14*b109*b434 + 170*b109*b435 + 80*b109*b439 - 138*b109*b448 + 126*
     b109*b478 - 164*b109*b485 + 14*b109*b494 + 40*b110*b111 + 64*b110*b114 - 
     22*b110*b126 - 56*b110*b130 - 76*b110*b139 + 108*b110*b141 - 182*b110*b142
      + 184*b110*b153 + 4*b110*b176 + 32*b110*b186 - 52*b110*b198 + 186*b110*
     b220 - 32*b110*b226 + 90*b110*b239 + 74*b110*b271 - 124*b110*b272 - 30*
     b110*b279 - 92*b110*b292 + 80*b110*b302 - 34*b110*b303 - 6*b110*b312 + 44*
     b110*b320 - 132*b110*b329 + 44*b110*b338 - 162*b110*b347 - 142*b110*b368
      + 10*b110*b390 + 118*b110*b401 + 92*b110*b417 + 50*b110*b430 + 84*b110*
     b432 + 6*b110*b443 + 8*b110*b494 - 82*b110*b497 - 156*b111*b139 + 56*b111*
     b142 - 20*b111*b144 - 184*b111*b155 + 16*b111*b179 + 166*b111*b185 - 62*
     b111*b192 - 108*b111*b204 + 142*b111*b206 - 182*b111*b216 + 72*b111*b224
      - 134*b111*b226 - 98*b111*b230 - 196*b111*b239 - 118*b111*b240 + 168*b111
     *b246 + 96*b111*b249 + 186*b111*b252 - 84*b111*b254 - 40*b111*b261 + 164*
     b111*b268 + 2*b111*b269 + 200*b111*b292 + 84*b111*b308 + 54*b111*b315 + 28
     *b111*b326 + 152*b111*b331 - 146*b111*b363 - 154*b111*b364 - 142*b111*b401
      - 6*b111*b411 - 66*b111*b419 + 92*b111*b423 - 48*b111*b434 + 162*b111*
     b456 - 2*b111*b465 + 38*b111*b467 - 38*b111*b468 + 90*b111*b475 + 54*b111*
     b479 + 80*b111*b498 - 64*b112*b131 + 130*b112*b136 - 16*b112*b139 + 96*
     b112*b146 - 116*b112*b152 + 96*b112*b156 - 38*b112*b171 + 136*b112*b182 + 
     164*b112*b184 - 50*b112*b191 - 160*b112*b194 + 118*b112*b213 + 186*b112*
     b216 + 84*b112*b217 + 154*b112*b219 + 178*b112*b222 - 164*b112*b229 - 120*
     b112*b241 + 188*b112*b253 - 150*b112*b254 - 142*b112*b262 + 96*b112*b264
      + 98*b112*b271 - 114*b112*b279 - 4*b112*b285 - 28*b112*b321 + 174*b112*
     b329 - 194*b112*b333 - 186*b112*b343 - 34*b112*b346 + 62*b112*b360 + 86*
     b112*b364 + 22*b112*b376 + 80*b112*b391 + 110*b112*b400 - 56*b112*b406 + 6
     *b112*b407 + 108*b112*b422 + 178*b112*b423 + 122*b112*b430 - 72*b112*b432
      + 102*b112*b435 - 102*b112*b444 - 56*b112*b479 - 198*b112*b486 - 12*b112*
     b499 - 154*b112*b500 - 144*b113*b122 + 14*b113*b162 + 186*b113*b165 + 114*
     b113*b166 - 142*b113*b167 - 184*b113*b178 - 44*b113*b202 - 2*b113*b211 + 
     180*b113*b214 - 18*b113*b215 + 114*b113*b219 - 24*b113*b225 - 164*b113*
     b227 - 122*b113*b235 + 78*b113*b236 + 96*b113*b250 + 40*b113*b262 + 98*
     b113*b277 + 170*b113*b278 - 8*b113*b304 + 176*b113*b319 - 170*b113*b320 + 
     188*b113*b323 + 52*b113*b332 - 172*b113*b336 - 68*b113*b349 - 12*b113*b357
      + 78*b113*b364 + 184*b113*b370 - 30*b113*b372 - 64*b113*b373 - 4*b113*
     b386 + 102*b113*b388 - 144*b113*b412 + 84*b113*b419 - 182*b113*b432 + 2*
     b113*b433 + 178*b113*b436 + 42*b113*b446 + 66*b113*b457 + 100*b113*b469 + 
     132*b113*b471 + 72*b113*b494 - 164*b113*b500 + 136*b114*b131 - 22*b114*
     b161 - 122*b114*b177 + 78*b114*b181 + 86*b114*b187 - 22*b114*b202 - 160*
     b114*b221 - 30*b114*b228 + 192*b114*b271 + 84*b114*b279 - 106*b114*b282 - 
     54*b114*b288 + 192*b114*b292 - 144*b114*b327 + 194*b114*b329 + 180*b114*
     b340 - 166*b114*b370 + 68*b114*b372 + 48*b114*b390 - 20*b114*b392 - 80*
     b114*b398 + 98*b114*b399 - 114*b114*b403 - 136*b114*b436 - 134*b114*b447
      + 56*b114*b450 + 108*b114*b453 + 44*b114*b465 + 124*b114*b470 - 164*b114*
     b489 - 170*b114*b501 + 16*b115*b127 - 174*b115*b133 + 164*b115*b145 - 174*
     b115*b147 + 36*b115*b151 + 182*b115*b153 - 160*b115*b158 + 74*b115*b195 + 
     10*b115*b203 + 188*b115*b211 - 104*b115*b230 - 30*b115*b235 - 88*b115*b240
      - 42*b115*b246 + 178*b115*b247 - 172*b115*b262 + 160*b115*b267 - 182*b115
     *b290 + 84*b115*b296 + 54*b115*b305 - 174*b115*b325 - 194*b115*b326 + 100*
     b115*b328 - 178*b115*b364 + 188*b115*b366 + 98*b115*b378 - 20*b115*b388 + 
     54*b115*b391 + 148*b115*b394 - 108*b115*b413 - 188*b115*b427 - 158*b115*
     b435 - 98*b115*b436 - 112*b115*b440 - 184*b115*b441 - 116*b115*b443 - 54*
     b115*b447 + 146*b115*b448 - 176*b115*b468 - 104*b115*b469 - 68*b115*b472
      - 38*b115*b473 + 140*b115*b474 + 42*b115*b481 + 6*b115*b484 - 150*b115*
     b488 + 188*b115*b491 - 12*b115*b496 - 196*b116*b126 + 56*b116*b128 - 122*
     b116*b139 - 110*b116*b160 + 8*b116*b173 + 82*b116*b177 + 174*b116*b181 + 
     52*b116*b197 + 70*b116*b208 + 54*b116*b209 - 72*b116*b228 - 84*b116*b256
      + 4*b116*b258 + 168*b116*b271 - 182*b116*b274 + 188*b116*b283 + 40*b116*
     b298 - 134*b116*b304 - 78*b116*b305 + 154*b116*b307 - 186*b116*b317 + 72*
     b116*b327 - 188*b116*b340 - 174*b116*b356 + 56*b116*b369 + 108*b116*b383
      + 8*b116*b387 - 178*b116*b414 + 192*b116*b423 + 126*b116*b429 - 94*b116*
     b440 - 158*b116*b448 - 158*b116*b460 + 18*b116*b462 - 142*b116*b471 + 80*
     b116*b481 - 134*b116*b486 - 50*b117*b119 + 120*b117*b121 - 28*b117*b127 - 
     2*b117*b132 + 164*b117*b134 + 194*b117*b139 + 24*b117*b154 + 170*b117*b156
      + 60*b117*b171 + 140*b117*b193 + 80*b117*b196 + 40*b117*b197 + 112*b117*
     b213 - 14*b117*b229 - 142*b117*b232 - 66*b117*b236 + 10*b117*b302 + 2*b117
     *b303 + 166*b117*b313 - 74*b117*b314 + 120*b117*b351 + 60*b117*b353 - 162*
     b117*b359 - 130*b117*b364 + 48*b117*b366 + 2*b117*b389 + 100*b117*b390 + 
     108*b117*b405 - 182*b117*b442 + 42*b117*b450 - 128*b117*b452 - 166*b117*
     b466 - 70*b117*b469 - 194*b117*b501 + 68*b118*b149 + 174*b118*b159 - 42*
     b118*b178 - 108*b118*b194 + 198*b118*b205 - 110*b118*b221 + 6*b118*b222 + 
     46*b118*b252 - 30*b118*b283 + 190*b118*b284 - 72*b118*b290 + 158*b118*b294
      - 196*b118*b296 + 102*b118*b320 + 2*b118*b325 + 26*b118*b330 + 38*b118*
     b332 - 186*b118*b339 - 58*b118*b342 - 196*b118*b349 - 76*b118*b352 - 16*
     b118*b369 - 82*b118*b374 + 74*b118*b381 - 26*b118*b388 + 32*b118*b399 - 8*
     b118*b418 - 184*b118*b426 - 190*b118*b428 + 62*b118*b433 - 116*b118*b436
      - 104*b118*b438 + 168*b118*b449 - 164*b118*b482 + 32*b118*b488 - 24*b119*
     b130 + 16*b119*b132 + 6*b119*b133 - 138*b119*b157 - 138*b119*b165 + 196*
     b119*b168 - 44*b119*b187 - 10*b119*b204 + 136*b119*b210 - 10*b119*b211 + 
     76*b119*b215 - 94*b119*b218 - 38*b119*b222 + 144*b119*b224 + 114*b119*b225
      - 130*b119*b228 + 36*b119*b231 + 18*b119*b234 + 140*b119*b243 + 66*b119*
     b246 - 50*b119*b265 - 2*b119*b276 - 100*b119*b278 - 40*b119*b280 + 166*
     b119*b289 + 142*b119*b290 - 92*b119*b291 + 76*b119*b295 - 62*b119*b333 + 
     186*b119*b334 - 190*b119*b345 + 76*b119*b348 - 42*b119*b357 - 194*b119*
     b358 - 24*b119*b359 - 56*b119*b374 - 68*b119*b398 - 90*b119*b435 - 92*b119
     *b447 + 162*b119*b454 - 174*b119*b472 + 64*b119*b492 + 48*b119*b494 + 144*
     b119*b496 + 126*b119*b498 + 96*b120*b128 + 34*b120*b140 - 162*b120*b154 + 
     26*b120*b168 + 64*b120*b179 + 108*b120*b184 - 48*b120*b186 + 90*b120*b194
      + 6*b120*b204 + 10*b120*b212 - 94*b120*b226 - 54*b120*b235 - 106*b120*
     b264 + 200*b120*b265 + 54*b120*b267 + 58*b120*b273 - 104*b120*b285 + 168*
     b120*b317 - 174*b120*b340 - 126*b120*b358 + 156*b120*b382 + 118*b120*b391
      + 162*b120*b397 - 182*b120*b410 - 72*b120*b419 + 18*b120*b433 + 76*b120*
     b460 - 116*b120*b489 + 140*b121*b125 - 94*b121*b133 + 190*b121*b139 + 150*
     b121*b143 + 42*b121*b145 - 196*b121*b160 - 22*b121*b168 + 76*b121*b177 - 
     36*b121*b184 + 182*b121*b198 - 196*b121*b208 - 70*b121*b212 + 194*b121*
     b216 - 88*b121*b220 + 152*b121*b229 + 140*b121*b230 + 178*b121*b238 + 26*
     b121*b239 - 46*b121*b245 - 170*b121*b267 + 80*b121*b268 - 124*b121*b274 - 
     102*b121*b291 - 164*b121*b296 + 8*b121*b299 + 168*b121*b300 + 146*b121*
     b318 + 160*b121*b322 - 88*b121*b329 + 116*b121*b335 - 120*b121*b340 + 14*
     b121*b344 - 180*b121*b352 + 36*b121*b353 - 30*b121*b360 + 16*b121*b366 + 
     20*b121*b378 + 112*b121*b391 + 116*b121*b429 - 106*b121*b432 + 192*b121*
     b443 - 154*b121*b451 - 112*b121*b468 + 140*b121*b475 - 192*b121*b488 + 194
     *b121*b495 + 14*b121*b501 + 136*b122*b137 - 152*b122*b156 + 28*b122*b160
      + 150*b122*b188 + 144*b122*b192 - 32*b122*b210 + 178*b122*b213 + 72*b122*
     b227 + 16*b122*b233 - 46*b122*b235 - 138*b122*b242 - 174*b122*b256 - 128*
     b122*b280 - 158*b122*b281 - 84*b122*b283 - 146*b122*b305 + 158*b122*b331
      - 78*b122*b335 + 110*b122*b346 + 102*b122*b347 - 80*b122*b352 + 160*b122*
     b371 - 104*b122*b375 + 24*b122*b387 + 84*b122*b391 + 14*b122*b401 - 196*
     b122*b405 - 54*b122*b407 + 124*b122*b416 - 178*b122*b419 - 194*b122*b428
      - 38*b122*b453 - 130*b122*b461 - 132*b122*b491 + 26*b122*b499 - 166*b123*
     b126 + 78*b123*b141 + 106*b123*b145 - 20*b123*b155 - 104*b123*b181 + 122*
     b123*b185 - 146*b123*b203 - 120*b123*b204 - 38*b123*b206 - 100*b123*b213
      - 66*b123*b214 + 52*b123*b219 + 98*b123*b225 + 136*b123*b233 + 166*b123*
     b239 + 156*b123*b249 + 8*b123*b283 - 38*b123*b321 - 116*b123*b324 - 90*
     b123*b326 - 80*b123*b343 + 134*b123*b353 + 24*b123*b357 + 28*b123*b359 + 
     178*b123*b368 - 44*b123*b369 + 86*b123*b384 + 54*b123*b393 + 40*b123*b414
      - 34*b123*b432 + 170*b123*b441 - 26*b123*b458 + 182*b123*b459 + 118*b123*
     b460 + 18*b123*b467 + 128*b123*b469 - 102*b123*b471 + 26*b123*b479 - 56*
     b123*b491 - 196*b124*b136 - 152*b124*b145 + 90*b124*b147 + 122*b124*b149
      - 122*b124*b151 + 16*b124*b187 - 32*b124*b191 - 84*b124*b196 + 126*b124*
     b203 + 86*b124*b207 + 30*b124*b220 - 174*b124*b224 + 84*b124*b226 + 16*
     b124*b240 + 148*b124*b247 + 82*b124*b277 - 144*b124*b281 - 198*b124*b283
      + 16*b124*b298 - 170*b124*b299 + 80*b124*b307 + 114*b124*b312 + 126*b124*
     b330 - 34*b124*b331 + 132*b124*b335 + 22*b124*b338 + 124*b124*b339 + 74*
     b124*b382 + 154*b124*b402 - 88*b124*b409 - 182*b124*b433 + 86*b124*b457 + 
     184*b124*b459 + 138*b124*b466 - 190*b124*b481 - 70*b124*b491 - 50*b125*
     b127 - 110*b125*b151 - 110*b125*b154 - 108*b125*b160 + 192*b125*b166 - 188
     *b125*b168 + 196*b125*b182 - 96*b125*b184 + 180*b125*b200 + 192*b125*b207
      - 142*b125*b211 - 180*b125*b219 + 34*b125*b220 + 42*b125*b257 + 70*b125*
     b275 - 174*b125*b287 - 46*b125*b290 + 16*b125*b295 - 96*b125*b304 - 138*
     b125*b307 - 132*b125*b311 + 174*b125*b323 - 194*b125*b324 - 112*b125*b338
      - 34*b125*b345 - 142*b125*b358 - 160*b125*b373 + 152*b125*b380 + 64*b125*
     b392 - 50*b125*b424 + 22*b125*b430 - 126*b125*b432 - 116*b125*b449 - 124*
     b125*b473 - 110*b125*b491 - 56*b126*b133 + 112*b126*b137 - 130*b126*b144
      - 64*b126*b151 + 4*b126*b157 - 20*b126*b186 - 184*b126*b202 + 182*b126*
     b206 - 128*b126*b212 - 22*b126*b218 + 140*b126*b222 - 96*b126*b223 - 108*
     b126*b245 + 96*b126*b252 + 150*b126*b257 - 116*b126*b261 - 64*b126*b265 + 
     8*b126*b276 + 70*b126*b280 - 80*b126*b312 + 12*b126*b323 - 156*b126*b324
      + 186*b126*b327 + 156*b126*b341 - 152*b126*b353 + 150*b126*b356 - 166*
     b126*b366 + 162*b126*b370 + 116*b126*b389 + 8*b126*b398 + 4*b126*b408 + 
     118*b126*b432 - 160*b126*b438 - 84*b126*b442 + 76*b126*b448 - 146*b126*
     b452 + 46*b126*b453 + 154*b126*b455 - 110*b126*b464 - 186*b126*b467 - 130*
     b126*b483 + 30*b126*b484 - 20*b126*b492 - 116*b127*b146 - 154*b127*b148 - 
     176*b127*b167 - 86*b127*b178 + 82*b127*b192 - 64*b127*b205 + 164*b127*b212
      + 194*b127*b226 + 70*b127*b235 - 38*b127*b250 + 84*b127*b277 + 84*b127*
     b280 + 94*b127*b281 + 38*b127*b287 - 68*b127*b288 + 114*b127*b292 - 108*
     b127*b300 + 94*b127*b301 - 138*b127*b314 - 130*b127*b317 - 60*b127*b334 - 
     112*b127*b340 + 160*b127*b365 + 154*b127*b378 + 48*b127*b385 - 8*b127*b386
      + 154*b127*b391 + 6*b127*b396 + 70*b127*b414 - 58*b127*b416 + 180*b127*
     b419 + 42*b127*b428 - 162*b127*b432 - 162*b127*b443 + 96*b127*b445 + 98*
     b127*b457 + 140*b127*b479 - 92*b127*b480 - 92*b127*b491 - 78*b127*b494 - 
     20*b127*b495 + 170*b127*b498 + 68*b128*b133 + 152*b128*b149 + 130*b128*
     b150 + 20*b128*b160 - 116*b128*b169 - 38*b128*b179 - 124*b128*b191 - 176*
     b128*b201 - 34*b128*b210 + 20*b128*b215 + 118*b128*b232 + 84*b128*b238 + 
     52*b128*b282 - 184*b128*b287 - 128*b128*b302 + 4*b128*b314 + 50*b128*b323
      - 134*b128*b327 - 150*b128*b343 - 146*b128*b352 + 48*b128*b365 + 56*b128*
     b378 + 36*b128*b379 - 92*b128*b386 + 40*b128*b389 + 6*b128*b407 + 194*b128
     *b412 + 16*b128*b440 + 132*b128*b442 + 68*b128*b443 - 102*b128*b450 - 172*
     b128*b452 - 80*b128*b468 + 100*b128*b480 + 160*b128*b483 - 68*b128*b486 - 
     58*b128*b489 + 142*b128*b494 - 174*b129*b140 + 192*b129*b154 - 124*b129*
     b164 + 154*b129*b168 + 124*b129*b171 + 116*b129*b183 + 136*b129*b187 + 124
     *b129*b189 + 18*b129*b196 - 156*b129*b200 - 112*b129*b204 - 82*b129*b213
      - 60*b129*b226 + 30*b129*b227 - 48*b129*b235 - 52*b129*b238 + 64*b129*
     b246 + 152*b129*b267 - 60*b129*b268 + 118*b129*b282 + 36*b129*b298 - 138*
     b129*b321 + 182*b129*b330 + 60*b129*b340 - 168*b129*b342 - 74*b129*b347 - 
     182*b129*b348 + 48*b129*b351 + 174*b129*b366 - 72*b129*b378 - 34*b129*b385
      - 140*b129*b390 + 30*b129*b400 + 128*b129*b421 - 180*b129*b423 + 86*b129*
     b428 + 104*b129*b435 + 64*b129*b449 - 96*b129*b453 - 144*b129*b461 - 146*
     b129*b470 - 10*b129*b483 + 172*b129*b491 - 120*b129*b494 - 144*b130*b157
      + 104*b130*b160 + 22*b130*b185 - 86*b130*b204 + 154*b130*b221 + 112*b130*
     b227 + 46*b130*b235 - 38*b130*b248 - 86*b130*b255 + 28*b130*b265 - 74*b130
     *b269 - 96*b130*b284 - 106*b130*b323 - 190*b130*b333 + 48*b130*b358 - 64*
     b130*b380 - 4*b130*b408 - 160*b130*b410 - 68*b130*b421 - 166*b130*b422 + 
     126*b130*b425 - 4*b130*b439 + 174*b130*b445 - 90*b130*b454 - 162*b130*b455
      + 90*b130*b473 + 128*b130*b488 - 4*b130*b490 - 154*b130*b491 + 120*b131*
     b150 - 100*b131*b167 - 102*b131*b171 - 84*b131*b185 + 22*b131*b190 + 136*
     b131*b200 + 52*b131*b210 + 136*b131*b216 + 38*b131*b221 - 168*b131*b227 + 
     172*b131*b239 + 146*b131*b240 + 18*b131*b245 - 62*b131*b253 - 102*b131*
     b292 + 192*b131*b335 - 70*b131*b342 + 170*b131*b369 - 158*b131*b370 - 110*
     b131*b372 + 2*b131*b399 - 58*b131*b404 + 46*b131*b426 + 64*b131*b428 + 76*
     b131*b433 - 130*b131*b435 + 172*b131*b437 - 60*b131*b445 + 2*b131*b460 + 
     94*b131*b462 - 188*b131*b469 + 176*b131*b476 - 4*b131*b494 + 40*b131*b500
      + 62*b132*b141 + 160*b132*b143 - 164*b132*b150 + 34*b132*b160 + 168*b132*
     b183 + 30*b132*b184 + 36*b132*b206 - 190*b132*b208 + 90*b132*b209 - 34*
     b132*b218 - 134*b132*b234 - 154*b132*b241 + 152*b132*b259 + 162*b132*b264
      + 90*b132*b282 - 52*b132*b286 + 22*b132*b325 - 134*b132*b326 - 132*b132*
     b327 + 12*b132*b345 - 30*b132*b353 - 134*b132*b357 + 168*b132*b367 + 52*
     b132*b375 + 168*b132*b376 + 6*b132*b396 - 108*b132*b398 - 26*b132*b423 - 
     150*b132*b437 - 54*b132*b478 + 32*b132*b489 + 108*b133*b139 + 108*b133*
     b147 - 82*b133*b158 - 150*b133*b159 - 40*b133*b161 + 102*b133*b165 + 186*
     b133*b170 + 122*b133*b171 + 6*b133*b172 - 68*b133*b179 + 52*b133*b181 - 80
     *b133*b198 + 118*b133*b199 + 56*b133*b210 + 6*b133*b215 - 144*b133*b221 - 
     152*b133*b223 - 104*b133*b254 - 108*b133*b259 + 166*b133*b272 + 158*b133*
     b277 - 98*b133*b280 - 70*b133*b282 - 180*b133*b288 - 22*b133*b293 + 16*
     b133*b311 - 192*b133*b314 + 38*b133*b319 + 8*b133*b343 - 184*b133*b358 - 
     140*b133*b363 - 6*b133*b382 + 52*b133*b389 - 148*b133*b398 + 56*b133*b420
      + 80*b133*b424 + 8*b133*b432 + 180*b133*b444 + 182*b133*b452 - 162*b133*
     b480 - 132*b133*b486 - 190*b133*b497 + 174*b134*b141 + 140*b134*b147 - 56*
     b134*b162 - 186*b134*b168 - 108*b134*b180 + 92*b134*b186 + 32*b134*b197 - 
     76*b134*b206 + 14*b134*b207 - 54*b134*b208 + 24*b134*b213 + 132*b134*b222
      + 2*b134*b234 + 4*b134*b236 + 188*b134*b241 - 142*b134*b251 - 190*b134*
     b268 - 80*b134*b274 + 48*b134*b286 - 82*b134*b291 + 152*b134*b292 + 60*
     b134*b299 - 160*b134*b310 + 108*b134*b313 - 114*b134*b333 - 60*b134*b355
      - 48*b134*b359 + 178*b134*b363 - 38*b134*b379 - 32*b134*b382 - 88*b134*
     b388 + 32*b134*b421 - 188*b134*b441 + 12*b134*b467 - 30*b134*b477 + 182*
     b134*b489 + 108*b134*b494 - 152*b135*b142 - 36*b135*b147 + 42*b135*b164 + 
     10*b135*b176 - 152*b135*b192 + 148*b135*b197 - 98*b135*b223 - 102*b135*
     b231 + 114*b135*b237 + 176*b135*b240 + 42*b135*b241 - 40*b135*b249 + 130*
     b135*b251 - 192*b135*b263 + 40*b135*b264 + 182*b135*b275 - 66*b135*b276 - 
     116*b135*b288 + 2*b135*b289 - 2*b135*b297 + 52*b135*b306 + 28*b135*b307 + 
     30*b135*b308 - 62*b135*b317 + 114*b135*b329 + 200*b135*b343 + 154*b135*
     b356 + 174*b135*b381 + 12*b135*b387 - 140*b135*b395 + 96*b135*b423 - 60*
     b135*b427 + 92*b135*b435 - 146*b135*b443 - 46*b135*b445 + 28*b135*b449 + 
     142*b135*b459 + 50*b135*b460 - 54*b135*b480 - 4*b135*b484 + 128*b136*b141
      - 192*b136*b143 - 78*b136*b161 + 158*b136*b167 - 82*b136*b179 - 56*b136*
     b195 - 34*b136*b220 - 6*b136*b230 + 46*b136*b232 + 200*b136*b238 - 36*b136
     *b240 - 84*b136*b241 - 138*b136*b247 + 8*b136*b253 - 32*b136*b256 - 50*
     b136*b257 + 128*b136*b270 + 160*b136*b271 + 30*b136*b283 - 60*b136*b285 + 
     66*b136*b287 - 130*b136*b297 + 76*b136*b300 + 164*b136*b310 + 104*b136*
     b326 + 6*b136*b332 - 126*b136*b336 - 118*b136*b340 + 154*b136*b349 - 36*
     b136*b370 - 98*b136*b382 - 10*b136*b395 + 22*b136*b434 + 158*b136*b445 - 
     44*b136*b462 + 180*b136*b464 - 14*b136*b477 - 142*b136*b481 - 172*b136*
     b491 - 24*b136*b492 + 122*b137*b144 + 74*b137*b172 - 44*b137*b180 + 162*
     b137*b181 - 68*b137*b189 - 174*b137*b194 + 34*b137*b205 - 148*b137*b212 + 
     40*b137*b224 + 68*b137*b237 + 32*b137*b239 + 200*b137*b249 + 28*b137*b255
      - 74*b137*b258 - 94*b137*b271 + 114*b137*b272 - 80*b137*b273 - 118*b137*
     b282 + 186*b137*b285 - 142*b137*b287 + 28*b137*b301 + 118*b137*b305 + 120*
     b137*b310 + 76*b137*b341 + 88*b137*b357 - 34*b137*b358 + 40*b137*b380 - 4*
     b137*b402 + 180*b137*b403 - 84*b137*b404 + 94*b137*b423 - 132*b137*b441 - 
     54*b137*b442 - 2*b137*b445 - 82*b137*b461 + 4*b137*b470 - 12*b138*b143 - 
     86*b138*b164 + 186*b138*b183 + 186*b138*b198 + 170*b138*b205 - 22*b138*
     b206 + 104*b138*b209 + 86*b138*b210 - 136*b138*b211 + 88*b138*b215 - 82*
     b138*b230 - 184*b138*b236 + 164*b138*b257 - 180*b138*b261 + 198*b138*b266
      + 84*b138*b267 + 74*b138*b270 - 52*b138*b294 - 156*b138*b298 - 184*b138*
     b311 + 40*b138*b316 - 82*b138*b326 - 58*b138*b333 - 4*b138*b338 + 190*b138
     *b342 - 72*b138*b363 - 38*b138*b385 + 50*b138*b394 + 186*b138*b415 + 98*
     b138*b427 - 60*b138*b438 - 54*b138*b453 + 76*b138*b461 + 112*b138*b471 + 
     92*b138*b474 + 56*b138*b483 - 98*b138*b490 + 138*b139*b157 - 34*b139*b163
      - 64*b139*b190 - 126*b139*b191 + 198*b139*b193 - 170*b139*b218 + 98*b139*
     b224 + 24*b139*b228 + 58*b139*b234 + 172*b139*b235 + 88*b139*b236 - 86*
     b139*b241 - 188*b139*b242 - 154*b139*b251 + 96*b139*b257 - 162*b139*b277
      + 64*b139*b293 - 14*b139*b294 + 58*b139*b296 - 174*b139*b302 + 144*b139*
     b310 - 62*b139*b311 - 20*b139*b315 + 42*b139*b345 + 56*b139*b364 - 58*b139
     *b388 - 130*b139*b389 - 26*b139*b391 - 28*b139*b430 + 42*b139*b444 + 154*
     b139*b447 + 130*b139*b459 - 160*b139*b465 + 94*b139*b466 - 166*b139*b475
      - 124*b140*b142 + 170*b140*b144 + 70*b140*b149 + 174*b140*b163 + 30*b140*
     b167 + 6*b140*b171 + 192*b140*b180 - 140*b140*b191 - 12*b140*b194 + 72*
     b140*b204 + 182*b140*b207 + 36*b140*b217 + 178*b140*b223 - 46*b140*b224 + 
     130*b140*b233 - 104*b140*b294 - 98*b140*b321 - 184*b140*b322 - 144*b140*
     b324 - 102*b140*b326 + 150*b140*b333 + 48*b140*b334 + 34*b140*b363 + 140*
     b140*b383 + 54*b140*b389 - 120*b140*b396 + 36*b140*b397 - 104*b140*b421 - 
     6*b140*b422 + 128*b140*b426 - 146*b140*b442 + 124*b140*b467 + 184*b140*
     b498 + 98*b141*b142 + 10*b141*b147 + 116*b141*b149 - 36*b141*b158 - 112*
     b141*b166 - 116*b141*b170 + 146*b141*b176 + 108*b141*b190 + 170*b141*b203
      - 100*b141*b218 + 136*b141*b222 - 198*b141*b254 - 128*b141*b258 - 26*b141
     *b264 + 110*b141*b268 + 6*b141*b295 + 106*b141*b304 - 192*b141*b312 - 152*
     b141*b319 - 90*b141*b323 + 10*b141*b342 + 134*b141*b351 - 162*b141*b355 - 
     70*b141*b359 - 178*b141*b368 + 96*b141*b381 + 144*b141*b390 - 184*b141*
     b402 - 44*b141*b424 + 90*b141*b427 - 70*b141*b434 + 184*b141*b436 - 152*
     b141*b450 + 142*b141*b462 + 114*b141*b477 - 26*b141*b478 + 170*b141*b480
      - 24*b141*b484 + 72*b141*b495 + 192*b142*b143 + 138*b142*b150 - 114*b142*
     b175 - 132*b142*b210 + 142*b142*b224 - 86*b142*b264 - 74*b142*b281 + 174*
     b142*b292 - 34*b142*b305 - 4*b142*b314 - 12*b142*b336 - 96*b142*b351 - 100
     *b142*b374 + 164*b142*b379 + 114*b142*b380 - 102*b142*b384 - 192*b142*b390
      + 192*b142*b393 + 24*b142*b395 - 192*b142*b403 + 4*b142*b411 - 56*b142*
     b415 + 56*b142*b439 + 74*b142*b452 + 198*b142*b459 - 82*b142*b480 - 40*
     b142*b485 - 100*b142*b501 - 168*b143*b158 - 184*b143*b165 + 140*b143*b174
      + 192*b143*b179 + 62*b143*b181 - 138*b143*b189 + 134*b143*b192 - 82*b143*
     b198 - 186*b143*b204 - 38*b143*b205 + 156*b143*b209 + 46*b143*b217 - 18*
     b143*b221 + 184*b143*b222 + 8*b143*b231 - 162*b143*b239 - 56*b143*b258 + 
     108*b143*b264 - 68*b143*b268 - 44*b143*b282 + 114*b143*b321 - 104*b143*
     b344 - 116*b143*b349 - 34*b143*b351 + 60*b143*b352 + 6*b143*b363 - 26*b143
     *b399 - 174*b143*b442 - 50*b143*b443 - 54*b143*b444 - 34*b143*b445 + 34*
     b143*b446 - 44*b143*b451 + 36*b143*b458 - 178*b143*b463 - 148*b143*b475 + 
     126*b143*b497 + 122*b143*b500 + 128*b144*b157 - 94*b144*b166 - 122*b144*
     b170 + 104*b144*b173 - 190*b144*b182 + 140*b144*b192 + 104*b144*b208 + 172
     *b144*b211 + 124*b144*b213 + 126*b144*b220 + 68*b144*b236 + 148*b144*b283
      + 186*b144*b290 - 136*b144*b295 + 122*b144*b320 + 112*b144*b324 - 186*
     b144*b328 + 96*b144*b342 + 26*b144*b344 - 40*b144*b355 - 54*b144*b371 - 
     194*b144*b372 - 148*b144*b376 - 104*b144*b380 - 82*b144*b388 - 10*b144*
     b392 - 128*b144*b422 - 112*b144*b427 - 192*b144*b439 - 116*b144*b454 - 22*
     b144*b463 + 174*b144*b466 + 8*b144*b473 - 186*b144*b480 + 182*b144*b488 + 
     66*b144*b490 - 52*b144*b492 + 82*b144*b495 - 110*b145*b147 - 104*b145*b175
      + 196*b145*b184 - 146*b145*b195 + 46*b145*b224 - 42*b145*b231 + 86*b145*
     b246 - 98*b145*b247 - 196*b145*b287 - 184*b145*b293 - 170*b145*b322 - 50*
     b145*b358 - 150*b145*b359 + 6*b145*b363 + 174*b145*b376 + 60*b145*b394 + 
     92*b145*b417 + 182*b145*b424 + 84*b145*b426 + 20*b145*b427 - 170*b145*b443
      + 164*b145*b444 - 140*b145*b451 + 50*b145*b465 - 190*b145*b470 + 38*b145*
     b475 + 162*b145*b484 - 130*b145*b489 - 50*b145*b494 - 182*b146*b155 - 144*
     b146*b169 - 76*b146*b170 - 54*b146*b172 - 44*b146*b174 - 50*b146*b184 + 
     122*b146*b199 + 194*b146*b225 - 66*b146*b235 + 86*b146*b237 + 180*b146*
     b250 + 28*b146*b264 + 96*b146*b277 - 42*b146*b290 + 146*b146*b306 + 84*
     b146*b316 - 90*b146*b326 - 152*b146*b331 - 178*b146*b337 - 182*b146*b346
      + 178*b146*b380 + 16*b146*b384 - 20*b146*b388 - 106*b146*b390 - 16*b146*
     b392 + 126*b146*b415 - 160*b146*b427 - 166*b146*b429 + 34*b146*b443 - 26*
     b146*b447 - 54*b146*b454 - 130*b146*b463 + 58*b146*b466 - 42*b146*b467 + 2
     *b146*b482 + 18*b146*b491 + 82*b147*b164 + 90*b147*b166 + 152*b147*b167 + 
     12*b147*b173 + 50*b147*b174 + 142*b147*b180 + 176*b147*b183 - 46*b147*b190
      - 130*b147*b192 - 170*b147*b208 - 186*b147*b220 + 86*b147*b222 - 158*b147
     *b226 + 28*b147*b227 + 182*b147*b231 - 116*b147*b241 + 196*b147*b250 + 60*
     b147*b269 - 168*b147*b284 - 188*b147*b286 + 192*b147*b288 - 102*b147*b305
      + 40*b147*b321 - 186*b147*b335 - 12*b147*b344 + 26*b147*b354 + 74*b147*
     b362 - 174*b147*b370 - 88*b147*b392 + 80*b147*b405 - 80*b147*b416 + 126*
     b147*b417 - 78*b147*b435 + 166*b147*b437 - 24*b147*b455 - 150*b147*b480 + 
     24*b147*b491 - 10*b147*b500 + 32*b148*b156 + 136*b148*b158 + 60*b148*b171
      + 150*b148*b195 + 10*b148*b200 + 116*b148*b215 - 98*b148*b217 - 90*b148*
     b279 + 88*b148*b282 + 98*b148*b302 - 132*b148*b312 - 16*b148*b317 + 54*
     b148*b331 - 112*b148*b338 + 176*b148*b340 + 154*b148*b362 - 40*b148*b368
      + 140*b148*b387 + 20*b148*b391 + 132*b148*b402 + 120*b148*b408 + 8*b148*
     b409 - 162*b148*b420 - 52*b148*b424 + 54*b148*b428 - 192*b148*b447 + 138*
     b148*b453 - 86*b148*b458 - 144*b148*b461 - 16*b148*b472 + 102*b148*b478 - 
     70*b148*b497 - 122*b149*b150 + 156*b149*b154 - 120*b149*b165 + 170*b149*
     b188 - 134*b149*b195 + 22*b149*b201 + 144*b149*b202 + 46*b149*b207 - 118*
     b149*b209 + 186*b149*b217 - 62*b149*b218 + 94*b149*b227 + 88*b149*b231 + 
     56*b149*b232 + 126*b149*b237 - 144*b149*b239 + 66*b149*b240 - 6*b149*b262
      - 110*b149*b280 - 164*b149*b286 + 82*b149*b289 + 174*b149*b307 + 26*b149*
     b322 + 114*b149*b325 - 34*b149*b328 - 88*b149*b329 - 8*b149*b337 + 12*b149
     *b341 + 34*b149*b370 + 80*b149*b374 - 44*b149*b402 + 140*b149*b408 + 78*
     b149*b411 - 184*b149*b412 - 98*b149*b417 + 152*b149*b418 + 14*b149*b425 + 
     148*b149*b428 - 70*b149*b430 - 142*b149*b431 + 132*b149*b434 + 180*b149*
     b435 - 24*b149*b443 + 162*b149*b445 - 98*b149*b463 + 196*b149*b476 - 56*
     b149*b482 + 16*b149*b488 - 4*b149*b490 - 112*b150*b152 + 184*b150*b159 - 
     72*b150*b161 + 94*b150*b183 + 86*b150*b184 - 166*b150*b197 - 56*b150*b200
      - 164*b150*b212 + 172*b150*b228 + 130*b150*b238 - 156*b150*b268 + 16*b150
     *b290 + 190*b150*b294 - 52*b150*b295 + 154*b150*b299 - 160*b150*b304 + 34*
     b150*b308 - 180*b150*b324 + 132*b150*b336 - 106*b150*b337 + 46*b150*b338
      + 48*b150*b355 - 44*b150*b363 - 190*b150*b372 + 32*b150*b411 - 56*b150*
     b418 - 138*b150*b427 - 46*b150*b429 + 100*b150*b448 - 94*b150*b455 - 70*
     b150*b473 + 92*b150*b484 - 60*b150*b487 - 6*b150*b497 - 76*b150*b498 + 178
     *b150*b500 + 8*b151*b157 - 142*b151*b173 + 50*b151*b213 - 180*b151*b214 + 
     24*b151*b217 + 94*b151*b219 + 194*b151*b232 - 106*b151*b243 - 160*b151*
     b249 - 80*b151*b253 - 112*b151*b257 - 190*b151*b261 + 198*b151*b268 - 100*
     b151*b278 - 142*b151*b284 - 172*b151*b308 + 134*b151*b323 + 2*b151*b336 + 
     66*b151*b340 - 158*b151*b344 + 8*b151*b352 + 26*b151*b361 - 54*b151*b389
      + 18*b151*b401 + 154*b151*b405 + 196*b151*b412 - 36*b151*b420 - 170*b151*
     b427 - 38*b151*b430 - 170*b151*b432 - 24*b151*b442 + 188*b151*b453 + 178*
     b151*b455 - 146*b151*b474 + 84*b151*b477 + 28*b151*b480 - 72*b152*b161 + 
     190*b152*b162 + 32*b152*b171 - 194*b152*b174 - 68*b152*b175 - 158*b152*
     b180 - 8*b152*b185 + 54*b152*b192 + 134*b152*b209 + 54*b152*b234 + 198*
     b152*b241 + 138*b152*b257 + 6*b152*b262 + 140*b152*b263 - 114*b152*b271 + 
     164*b152*b274 - 38*b152*b280 + 32*b152*b281 - 194*b152*b286 + 64*b152*b293
      + 156*b152*b299 + 56*b152*b319 - 30*b152*b327 - 44*b152*b334 + 10*b152*
     b354 + 102*b152*b356 + 84*b152*b358 + 16*b152*b361 - 50*b152*b366 + 160*
     b152*b368 - 86*b152*b369 + 136*b152*b370 + 68*b152*b381 + 110*b152*b384 - 
     18*b152*b387 + 150*b152*b413 + 108*b152*b433 + 36*b152*b445 + 74*b152*b447
      - 166*b152*b449 - 184*b152*b453 + 78*b152*b491 + 198*b153*b154 - 130*b153
     *b158 - 146*b153*b179 - 30*b153*b189 + 180*b153*b193 - 110*b153*b202 + 6*
     b153*b224 - 130*b153*b227 - 198*b153*b250 + 164*b153*b288 - 86*b153*b290
      + 162*b153*b291 - 2*b153*b312 - 198*b153*b318 - 42*b153*b341 - 172*b153*
     b343 - 146*b153*b349 + 124*b153*b353 - 180*b153*b358 + 154*b153*b368 - 114
     *b153*b373 - 132*b153*b386 - 168*b153*b399 + 72*b153*b408 - 52*b153*b431
      + 174*b154*b157 + 132*b154*b165 + 132*b154*b175 - 156*b154*b182 + 136*
     b154*b211 - 52*b154*b214 - 42*b154*b218 + 160*b154*b237 + 104*b154*b262 - 
     184*b154*b268 - 24*b154*b282 + 182*b154*b304 - 96*b154*b311 + 162*b154*
     b323 + 92*b154*b326 + 4*b154*b327 - 40*b154*b333 - 22*b154*b356 - 130*b154
     *b387 + 40*b154*b402 - 120*b154*b412 - 96*b154*b418 - 196*b154*b420 - 72*
     b154*b427 + 114*b154*b438 - 114*b154*b440 + 170*b154*b462 + 198*b154*b466
      + 150*b154*b469 - 10*b154*b470 - 106*b154*b489 + 46*b154*b498 - 6*b155*
     b180 - 10*b155*b184 - 170*b155*b186 - 42*b155*b195 + 76*b155*b202 - 84*
     b155*b211 + 82*b155*b213 + 128*b155*b246 + 150*b155*b260 + 108*b155*b275
      + 14*b155*b294 - 172*b155*b310 - 46*b155*b313 + 62*b155*b322 + 48*b155*
     b365 - 164*b155*b380 - 48*b155*b388 - 32*b155*b393 + 28*b155*b407 + 178*
     b155*b427 + 190*b155*b435 - 58*b155*b436 + 148*b155*b437 + 38*b155*b444 + 
     54*b155*b469 + 150*b155*b473 - 108*b155*b478 - 198*b155*b484 + 76*b155*
     b485 - 128*b155*b490 - 172*b155*b491 - 12*b156*b177 - 8*b156*b198 - 76*
     b156*b208 + 194*b156*b213 + 124*b156*b219 - 196*b156*b223 + 82*b156*b228
      + 106*b156*b234 - 28*b156*b238 - 2*b156*b239 - 44*b156*b257 + 174*b156*
     b259 + 120*b156*b269 - 98*b156*b272 + 156*b156*b273 - 32*b156*b280 - 56*
     b156*b284 - 46*b156*b297 + 30*b156*b313 + 108*b156*b315 - 190*b156*b317 + 
     128*b156*b320 - 54*b156*b325 - 184*b156*b342 - 166*b156*b344 + 6*b156*b350
      - 162*b156*b355 - 166*b156*b369 + 158*b156*b388 - 144*b156*b439 - 128*
     b156*b445 - 10*b156*b449 - 54*b156*b450 - 10*b156*b477 - 174*b156*b487 - 
     52*b156*b500 + 98*b157*b166 - 114*b157*b170 + 126*b157*b199 + 190*b157*
     b201 - 180*b157*b206 - 140*b157*b207 + 168*b157*b209 + 86*b157*b231 - 40*
     b157*b236 + 196*b157*b239 + 38*b157*b241 - 36*b157*b251 + 104*b157*b262 + 
     10*b157*b271 + 26*b157*b273 - 8*b157*b274 - 136*b157*b278 + 90*b157*b282
      + 170*b157*b283 + 36*b157*b287 - 58*b157*b299 + 84*b157*b317 - 148*b157*
     b328 - 136*b157*b336 + 50*b157*b342 + 146*b157*b358 + 86*b157*b367 + 176*
     b157*b380 - 158*b157*b382 + 182*b157*b429 - 96*b157*b430 + 166*b157*b446
      + 170*b157*b451 - 62*b157*b452 - 160*b157*b456 + 166*b157*b460 - 196*b157
     *b467 - 54*b157*b471 - 42*b157*b479 - 76*b157*b482 - 20*b157*b497 - 74*
     b157*b499 + 132*b158*b182 + 92*b158*b194 + 98*b158*b208 + 88*b158*b211 - 
     70*b158*b214 - 34*b158*b227 + 48*b158*b229 + 76*b158*b236 - 2*b158*b253 + 
     70*b158*b254 - 82*b158*b262 + 198*b158*b272 - 166*b158*b275 + 160*b158*
     b281 - 58*b158*b287 + 28*b158*b343 - 192*b158*b354 - 66*b158*b357 + 64*
     b158*b366 + 142*b158*b368 + 68*b158*b380 - 66*b158*b387 + 66*b158*b410 + 
     24*b158*b415 - 42*b158*b428 - 48*b158*b443 + 118*b158*b447 + 100*b158*b460
      - 82*b158*b463 - 62*b158*b480 + 66*b158*b483 - 122*b158*b487 - 174*b158*
     b493 - 186*b159*b169 - 172*b159*b172 - 102*b159*b184 - 198*b159*b188 + 156
     *b159*b204 - 152*b159*b212 - 112*b159*b236 - 56*b159*b238 - 84*b159*b244
      - 84*b159*b257 + 106*b159*b270 - 114*b159*b272 + 86*b159*b311 - 196*b159*
     b312 + 98*b159*b318 + 110*b159*b330 - 142*b159*b335 + 14*b159*b337 - 52*
     b159*b346 - 150*b159*b356 - 162*b159*b362 + 194*b159*b379 - 160*b159*b391
      - 30*b159*b399 + 16*b159*b407 + 190*b159*b409 - 148*b159*b422 + 36*b159*
     b423 - 146*b159*b443 - 106*b159*b449 - 168*b159*b464 - 198*b159*b474 + 94*
     b159*b475 + 146*b159*b481 + 94*b160*b167 + 46*b160*b203 + 194*b160*b207 + 
     76*b160*b208 - 150*b160*b214 - 154*b160*b224 - 198*b160*b229 - 198*b160*
     b233 + 134*b160*b238 + 96*b160*b247 + 120*b160*b251 + 58*b160*b264 + 78*
     b160*b269 - 176*b160*b275 - 102*b160*b299 + 80*b160*b301 + 60*b160*b316 + 
     12*b160*b325 - 146*b160*b344 - 150*b160*b369 - 188*b160*b387 - 170*b160*
     b389 - 182*b160*b394 - 82*b160*b402 - 16*b160*b403 - 124*b160*b406 + 104*
     b160*b410 + 172*b160*b422 - 44*b160*b426 - 198*b160*b443 - 10*b160*b452 - 
     190*b160*b461 + 14*b160*b465 + 114*b160*b481 - 192*b160*b485 - 28*b160*
     b501 + 72*b161*b164 + 170*b161*b179 + 198*b161*b182 - 148*b161*b207 - 88*
     b161*b210 + 198*b161*b213 + 40*b161*b220 - 122*b161*b221 + 122*b161*b237
      + 4*b161*b248 + 148*b161*b249 + 136*b161*b251 + 154*b161*b257 + 78*b161*
     b262 - 8*b161*b263 + 14*b161*b275 + 68*b161*b278 + 150*b161*b286 - 24*b161
     *b307 - 130*b161*b315 - 106*b161*b322 - 26*b161*b345 - 112*b161*b350 + 162
     *b161*b358 - 32*b161*b373 + 160*b161*b374 - 164*b161*b380 + 20*b161*b397
      + 160*b161*b399 - 104*b161*b414 - 86*b161*b418 + 82*b161*b420 - 102*b161*
     b457 - 198*b161*b462 + 126*b161*b465 + 16*b161*b479 + 76*b161*b497 + 164*
     b161*b500 - 170*b162*b167 + 106*b162*b170 - 90*b162*b196 + 102*b162*b241
      - 12*b162*b263 + 70*b162*b266 - 30*b162*b270 - 24*b162*b282 + 180*b162*
     b294 - 132*b162*b300 - 88*b162*b304 + 190*b162*b312 + 100*b162*b317 - 102*
     b162*b318 + 192*b162*b325 - 24*b162*b331 + 36*b162*b346 + 190*b162*b351 - 
     86*b162*b379 + 178*b162*b384 + 6*b162*b385 - 18*b162*b407 + 150*b162*b432
      - 144*b162*b434 + 8*b162*b446 - 186*b162*b456 + 148*b162*b462 - 152*b162*
     b466 - 48*b162*b480 - 34*b162*b491 + 30*b162*b495 + 90*b163*b166 + 10*b163
     *b174 - 120*b163*b180 + 200*b163*b194 + 168*b163*b199 + 124*b163*b212 + 
     166*b163*b236 - 70*b163*b267 - 54*b163*b274 - 64*b163*b278 + 162*b163*b306
      + 6*b163*b318 + 98*b163*b324 + 78*b163*b366 - 178*b163*b375 + 96*b163*
     b376 + 166*b163*b380 - 108*b163*b390 + 190*b163*b399 + 76*b163*b408 + 4*
     b163*b412 - 42*b163*b415 - 190*b163*b417 - 136*b163*b429 - 6*b163*b430 - 
     82*b163*b433 - 192*b163*b438 + 50*b163*b445 + 104*b163*b448 + 158*b163*
     b451 - 114*b163*b452 + 36*b163*b457 + 10*b163*b483 - 78*b163*b488 - 68*
     b164*b177 - 160*b164*b197 + 150*b164*b210 + 160*b164*b212 - 94*b164*b232
      - 22*b164*b245 - 138*b164*b253 - 186*b164*b282 - 102*b164*b292 + 134*b164
     *b298 - 30*b164*b299 - 12*b164*b330 + 80*b164*b335 + 194*b164*b336 - 110*
     b164*b341 + 48*b164*b365 + 36*b164*b383 + 172*b164*b384 + 26*b164*b394 - 
     196*b164*b395 - 132*b164*b396 + 122*b164*b417 - 128*b164*b419 + 198*b164*
     b447 + 40*b164*b465 - 164*b164*b466 + 160*b164*b475 - 52*b164*b476 + 156*
     b164*b494 - 68*b164*b499 + 68*b165*b168 - 18*b165*b176 + 116*b165*b190 + 
     12*b165*b203 + 152*b165*b210 - 110*b165*b224 + 82*b165*b242 + 68*b165*b247
      - 182*b165*b252 - 180*b165*b257 - 48*b165*b265 + 174*b165*b269 + 20*b165*
     b277 + 196*b165*b286 + 122*b165*b295 + 108*b165*b326 + 142*b165*b353 - 128
     *b165*b367 + 188*b165*b369 - 92*b165*b384 + 122*b165*b389 + 60*b165*b395
      + 32*b165*b402 - 136*b165*b420 - 50*b165*b434 - 164*b165*b435 - 84*b165*
     b447 - 158*b165*b450 - 104*b165*b452 + 120*b165*b458 - 130*b165*b461 + 148
     *b165*b463 + 106*b165*b465 - 132*b165*b468 + 48*b165*b487 + 198*b166*b168
      + 194*b166*b174 - 48*b166*b176 + 42*b166*b178 + 72*b166*b211 + 100*b166*
     b221 - 122*b166*b234 + 162*b166*b246 - 64*b166*b249 + 70*b166*b257 + 30*
     b166*b261 - 2*b166*b263 + 166*b166*b266 - 86*b166*b294 + 166*b166*b303 + 
     170*b166*b319 - 34*b166*b321 + 90*b166*b329 - 8*b166*b335 - 180*b166*b338
      - 66*b166*b340 - 114*b166*b341 + 120*b166*b367 - 194*b166*b385 + 110*b166
     *b391 - 130*b166*b405 + 28*b166*b420 - 192*b166*b421 - 162*b166*b443 - 64*
     b166*b447 - 118*b166*b456 + 92*b166*b472 + 78*b166*b474 + 122*b166*b498 - 
     16*b167*b187 - 106*b167*b192 + 50*b167*b199 + 86*b167*b201 + 188*b167*b208
      - 86*b167*b216 - 160*b167*b257 - 144*b167*b260 - 146*b167*b263 + 148*b167
     *b271 - 174*b167*b279 + 166*b167*b291 - 72*b167*b299 + 154*b167*b303 + 4*
     b167*b309 - 182*b167*b321 - 110*b167*b324 - 166*b167*b330 + 22*b167*b334
      + 188*b167*b339 + 88*b167*b343 - 154*b167*b347 - 142*b167*b357 + 168*b167
     *b363 + 2*b167*b378 - 58*b167*b399 + 164*b167*b410 - 12*b167*b415 - 8*b167
     *b418 + 32*b167*b419 - 154*b167*b432 + 60*b167*b436 - 104*b167*b442 - 92*
     b167*b464 - 68*b167*b472 + 98*b167*b481 - 174*b167*b489 - 94*b167*b494 + 
     122*b167*b501 + 158*b168*b170 + 12*b168*b171 + 92*b168*b205 - 90*b168*b246
      + 142*b168*b252 + 128*b168*b260 - 6*b168*b275 - 138*b168*b283 - 64*b168*
     b284 + 172*b168*b299 - 198*b168*b303 + 26*b168*b309 - 150*b168*b335 - 122*
     b168*b342 + 68*b168*b356 + 196*b168*b363 - 6*b168*b386 + 54*b168*b387 - 52
     *b168*b399 - 68*b168*b400 + 58*b168*b405 + 196*b168*b424 - 196*b168*b447
      - 48*b168*b448 + 102*b168*b452 + 156*b168*b460 + 182*b168*b469 + 44*b168*
     b470 - 162*b168*b481 - 132*b168*b486 - 120*b169*b179 + 88*b169*b184 - 158*
     b169*b186 - 98*b169*b208 - 176*b169*b209 + 114*b169*b235 - 60*b169*b245 - 
     2*b169*b258 + 140*b169*b267 + 78*b169*b274 - 88*b169*b285 + 116*b169*b290
      - 74*b169*b302 + 178*b169*b316 - 70*b169*b317 + 104*b169*b332 + 6*b169*
     b333 - 90*b169*b358 + 182*b169*b361 + 106*b169*b363 + 114*b169*b379 + 90*
     b169*b381 - 132*b169*b392 + 82*b169*b407 + 84*b169*b412 + 130*b169*b419 + 
     42*b169*b426 - 194*b169*b438 - 176*b169*b451 + 196*b169*b467 + 138*b169*
     b471 - 40*b169*b481 + 118*b169*b482 + 150*b169*b492 + 80*b170*b171 - 174*
     b170*b177 - 138*b170*b185 + 66*b170*b192 + 26*b170*b195 - 192*b170*b204 + 
     158*b170*b223 + 168*b170*b226 - 60*b170*b227 - 108*b170*b229 - 102*b170*
     b233 + 78*b170*b258 + 104*b170*b262 + 126*b170*b264 - 114*b170*b265 - 168*
     b170*b278 + 118*b170*b279 - 74*b170*b287 - 174*b170*b301 + 126*b170*b318
      + 108*b170*b348 - 146*b170*b359 - 172*b170*b389 - 64*b170*b397 - 64*b170*
     b404 + 48*b170*b464 + 28*b170*b470 + 136*b170*b483 - 136*b170*b486 - 38*
     b170*b489 + 182*b170*b495 - 194*b171*b185 + 178*b171*b197 - 152*b171*b209
      + 156*b171*b224 + 100*b171*b229 + 64*b171*b235 + 120*b171*b238 - 164*b171
     *b239 + 130*b171*b282 + 96*b171*b290 + 14*b171*b296 + 170*b171*b322 + 20*
     b171*b340 + 30*b171*b353 + 44*b171*b361 - 108*b171*b391 + 90*b171*b394 - 
     158*b171*b396 - 12*b171*b421 + 126*b171*b450 - 172*b171*b461 + 84*b171*
     b477 + 6*b171*b479 - 132*b171*b486 - 152*b171*b487 - 112*b171*b489 - 182*
     b171*b501 - 170*b172*b196 + 150*b172*b200 - 42*b172*b213 - 124*b172*b218
      + 198*b172*b219 + 42*b172*b229 - 42*b172*b230 - 60*b172*b264 + 36*b172*
     b275 - 136*b172*b285 + 200*b172*b292 - 92*b172*b296 - 86*b172*b299 - 150*
     b172*b301 - 78*b172*b320 - 118*b172*b323 + 152*b172*b328 + 36*b172*b353 + 
     74*b172*b366 - 168*b172*b375 + 138*b172*b389 - 102*b172*b394 - 184*b172*
     b412 - 40*b172*b423 - 106*b172*b430 - 156*b172*b440 - 54*b172*b453 - 88*
     b172*b476 + 66*b172*b492 - 92*b172*b494 - 32*b172*b496 + 28*b172*b499 + 
     162*b173*b194 + 118*b173*b197 + 48*b173*b209 - 50*b173*b217 - 162*b173*
     b225 + 110*b173*b229 + 132*b173*b231 - 76*b173*b235 - 178*b173*b248 + 32*
     b173*b252 + 56*b173*b257 + 156*b173*b262 + 150*b173*b278 - 52*b173*b280 - 
     34*b173*b285 + 140*b173*b288 - 42*b173*b290 + 166*b173*b302 - 2*b173*b305
      - 80*b173*b321 + 192*b173*b359 + 72*b173*b380 + 8*b173*b408 - 142*b173*
     b411 - 32*b173*b415 - 144*b173*b419 - 106*b173*b446 - 134*b173*b453 + 74*
     b173*b457 - 18*b173*b458 + 162*b173*b480 - 62*b174*b176 - 10*b174*b183 - 
     172*b174*b189 + 110*b174*b194 + 56*b174*b198 + 180*b174*b201 - 128*b174*
     b222 + 170*b174*b233 - 142*b174*b235 + 66*b174*b239 + 22*b174*b240 + 150*
     b174*b258 + 146*b174*b263 - 6*b174*b294 + 34*b174*b298 + 120*b174*b310 - 
     194*b174*b322 - 36*b174*b353 - 100*b174*b365 + 14*b174*b370 + 124*b174*
     b388 + 50*b174*b391 + 164*b174*b394 - 74*b174*b395 + 110*b174*b396 - 190*
     b174*b399 + 114*b174*b405 + 16*b174*b417 + 20*b174*b419 - 74*b174*b428 + 
     100*b174*b429 + 142*b174*b435 - 32*b174*b436 + 184*b174*b450 - 4*b174*b469
      + 22*b174*b478 - 178*b175*b176 + 96*b175*b186 + 168*b175*b193 + 194*b175*
     b195 - 50*b175*b199 + 22*b175*b200 - 198*b175*b201 - 140*b175*b218 + 34*
     b175*b224 + 8*b175*b236 - 66*b175*b249 - 172*b175*b261 + 108*b175*b263 - 
     48*b175*b264 - 60*b175*b274 + 88*b175*b275 + 156*b175*b293 - 196*b175*b332
      + 100*b175*b333 + 44*b175*b336 + 154*b175*b348 + 124*b175*b354 + 60*b175*
     b381 + 198*b175*b390 - 44*b175*b408 + 10*b175*b411 - 60*b175*b414 + 38*
     b175*b425 - 76*b175*b432 + 114*b175*b435 + 90*b175*b465 + 160*b175*b490 + 
     122*b175*b493 - 144*b175*b494 + 132*b175*b498 - 176*b175*b499 + 122*b175*
     b500 - 20*b176*b192 + 128*b176*b197 - 12*b176*b198 - 86*b176*b209 - 150*
     b176*b213 - 132*b176*b216 + 44*b176*b230 + 200*b176*b242 - 160*b176*b256
      + 158*b176*b287 - 12*b176*b330 - 180*b176*b338 - 134*b176*b361 + 170*b176
     *b372 - 174*b176*b381 + 68*b176*b425 - 144*b176*b450 + 186*b176*b452 - 152
     *b176*b470 - 10*b176*b476 - 116*b176*b478 + 86*b177*b182 + 182*b177*b189
      + 50*b177*b202 - 132*b177*b211 - 188*b177*b226 + 192*b177*b231 - 18*b177*
     b235 + 96*b177*b247 + 12*b177*b248 + 154*b177*b267 - 142*b177*b293 + 88*
     b177*b304 + 148*b177*b317 - 122*b177*b335 - 126*b177*b340 - 16*b177*b388
      + 134*b177*b391 - 128*b177*b397 - 152*b177*b410 + 38*b177*b415 - 6*b177*
     b422 + 76*b177*b436 - 152*b177*b452 + 140*b177*b457 + 64*b177*b460 - 138*
     b177*b467 + 124*b177*b468 - 102*b177*b498 - 62*b177*b500 - 64*b178*b192 + 
     126*b178*b207 - 96*b178*b283 - 140*b178*b289 + 98*b178*b295 - 84*b178*b297
      + 8*b178*b301 + 30*b178*b312 + 70*b178*b319 + 132*b178*b321 + 38*b178*
     b322 + 80*b178*b323 + 140*b178*b325 - 6*b178*b329 + 190*b178*b331 - 54*
     b178*b332 - 122*b178*b333 - 54*b178*b347 + 40*b178*b356 + 146*b178*b378 + 
     36*b178*b388 + 138*b178*b393 - 74*b178*b396 - 52*b178*b411 + 76*b178*b417
      + 20*b178*b435 - 112*b178*b437 - 142*b178*b442 + 124*b178*b471 + 164*b178
     *b475 + 176*b178*b487 + 60*b178*b494 - 138*b178*b498 + 16*b179*b189 + 200*
     b179*b197 + 50*b179*b203 - 44*b179*b206 + 164*b179*b215 - 102*b179*b222 - 
     36*b179*b224 + 58*b179*b225 - 94*b179*b226 + 60*b179*b253 + 132*b179*b277
      - 14*b179*b288 - 98*b179*b309 - 8*b179*b312 - 84*b179*b321 + 66*b179*b326
      + 104*b179*b329 + 16*b179*b360 + 152*b179*b363 + 98*b179*b364 - 178*b179*
     b374 - 196*b179*b396 - 62*b179*b410 + 180*b179*b431 + 152*b179*b436 + 158*
     b179*b440 + 8*b179*b449 + 170*b179*b450 - 134*b179*b454 + 50*b179*b464 + 
     142*b179*b465 + 84*b179*b477 + 64*b179*b496 + 60*b180*b181 + 170*b180*b183
      + 16*b180*b186 - 172*b180*b202 + 18*b180*b214 - 102*b180*b222 - 36*b180*
     b223 + 32*b180*b225 + 30*b180*b231 - 154*b180*b246 - 114*b180*b258 + 64*
     b180*b262 - 164*b180*b270 - 94*b180*b285 + 46*b180*b293 - 50*b180*b336 + 
     130*b180*b338 + 74*b180*b368 - 66*b180*b371 - 122*b180*b379 - 72*b180*b393
      - 56*b180*b402 - 8*b180*b411 - 30*b180*b412 - 156*b180*b416 - 108*b180*
     b429 + 108*b180*b432 + 186*b180*b441 - 92*b180*b442 - 110*b180*b457 + 190*
     b180*b462 + 72*b180*b468 + 164*b180*b489 + 174*b180*b491 - 30*b181*b183 - 
     92*b181*b190 - 36*b181*b196 - 162*b181*b210 - 166*b181*b225 - 182*b181*
     b229 - 42*b181*b231 - 18*b181*b240 - 158*b181*b257 + 136*b181*b261 - 122*
     b181*b265 - 142*b181*b266 + 10*b181*b274 - 12*b181*b283 - 84*b181*b292 - 
     56*b181*b304 + 118*b181*b305 + 106*b181*b307 - 130*b181*b318 - 74*b181*
     b322 + 116*b181*b340 - 16*b181*b341 - 90*b181*b344 - 18*b181*b345 + 154*
     b181*b348 - 110*b181*b367 - 196*b181*b369 - 98*b181*b372 + 54*b181*b374 - 
     88*b181*b382 + 178*b181*b389 - 92*b181*b402 - 32*b181*b416 + 184*b181*b424
      + 32*b181*b427 + 130*b181*b428 - 90*b181*b431 + 48*b181*b436 - 194*b181*
     b440 - 182*b181*b448 - 50*b181*b460 + 54*b181*b468 + 176*b181*b480 + 76*
     b181*b489 + 136*b182*b213 - 78*b182*b236 + 36*b182*b243 + 184*b182*b253 + 
     28*b182*b266 + 168*b182*b286 + 126*b182*b297 + 10*b182*b306 - 138*b182*
     b318 + 178*b182*b322 - 152*b182*b334 - 60*b182*b363 - 84*b182*b394 + 66*
     b182*b414 + 160*b182*b422 + 178*b182*b423 - 24*b182*b427 - 70*b182*b429 - 
     144*b182*b436 + 40*b182*b444 - 10*b182*b446 + 62*b182*b451 + 4*b182*b463
      - 10*b182*b471 + 52*b182*b493 - 68*b182*b498 + 96*b183*b191 + 38*b183*
     b193 + 106*b183*b231 - 28*b183*b232 + 20*b183*b248 + 168*b183*b255 - 50*
     b183*b259 + 186*b183*b260 - 98*b183*b271 - 112*b183*b281 - 86*b183*b282 - 
     4*b183*b285 - 90*b183*b301 - 2*b183*b306 - 122*b183*b330 + 144*b183*b341
      + 56*b183*b392 + 176*b183*b397 + 52*b183*b402 - 162*b183*b407 - 162*b183*
     b413 + 196*b183*b449 - 166*b183*b452 + 168*b183*b456 + 38*b184*b199 + 128*
     b184*b206 - 16*b184*b208 - 32*b184*b211 - 164*b184*b216 - 166*b184*b218 - 
     16*b184*b243 - 116*b184*b250 - 130*b184*b278 - 4*b184*b287 - 142*b184*b294
      - 122*b184*b304 + 68*b184*b308 + 114*b184*b318 + 22*b184*b321 - 6*b184*
     b328 + 108*b184*b337 - 84*b184*b345 + 178*b184*b349 - 172*b184*b350 - 74*
     b184*b354 + 160*b184*b355 + 184*b184*b363 + 62*b184*b382 - 2*b184*b385 + 4
     *b184*b386 - 38*b184*b407 + 196*b184*b422 + 96*b184*b429 - 178*b184*b438
      - 136*b184*b447 + 18*b184*b461 - 126*b184*b464 + 28*b184*b486 + 94*b184*
     b500 + 84*b185*b186 + 194*b185*b196 - 94*b185*b200 - 196*b185*b201 + 82*
     b185*b231 - 176*b185*b248 - 186*b185*b261 + 182*b185*b262 + 98*b185*b273
      + 180*b185*b277 - 8*b185*b296 - 66*b185*b310 - 112*b185*b328 - 24*b185*
     b333 + 150*b185*b339 + 34*b185*b367 + 156*b185*b369 + 54*b185*b376 - 190*
     b185*b378 + 196*b185*b384 - 180*b185*b400 + 54*b185*b405 + 6*b185*b407 + 
     128*b185*b408 - 102*b185*b418 - 76*b185*b439 - 86*b185*b440 - 184*b185*
     b443 - 56*b185*b486 - 84*b186*b203 + 106*b186*b212 - 120*b186*b216 + 114*
     b186*b224 + 144*b186*b227 + 132*b186*b232 + 162*b186*b243 + 82*b186*b306
      + 54*b186*b323 - 138*b186*b340 - 4*b186*b346 + 50*b186*b360 + 120*b186*
     b381 + 138*b186*b391 + 68*b186*b398 + 38*b186*b400 - 106*b186*b406 - 138*
     b186*b420 - 52*b186*b424 + 94*b186*b429 - 88*b186*b449 + 126*b186*b464 - 
     130*b186*b471 + 108*b186*b475 - 106*b186*b481 + 132*b186*b484 + 54*b186*
     b494 - 52*b187*b207 + 18*b187*b208 - 180*b187*b229 - 36*b187*b234 + 70*
     b187*b238 + 112*b187*b248 + 160*b187*b283 - 114*b187*b284 - 148*b187*b295
      - 140*b187*b307 + 180*b187*b320 + 176*b187*b321 + 176*b187*b326 - 162*
     b187*b328 - 90*b187*b332 - 14*b187*b352 + 108*b187*b363 - 106*b187*b368 + 
     168*b187*b384 + 72*b187*b391 - 144*b187*b392 + 148*b187*b402 - 72*b187*
     b425 + 156*b187*b431 - 88*b187*b434 + 38*b187*b444 + 50*b187*b453 + 106*
     b187*b460 + 10*b187*b482 - 154*b187*b496 + 194*b188*b191 - 30*b188*b195 - 
     132*b188*b199 + 78*b188*b201 + 32*b188*b221 + 146*b188*b232 + 12*b188*b233
      + 186*b188*b239 - 190*b188*b246 - 68*b188*b253 - 80*b188*b262 - 122*b188*
     b284 + 10*b188*b292 + 100*b188*b311 - 170*b188*b323 - 174*b188*b354 - 38*
     b188*b359 - 174*b188*b369 - 148*b188*b372 - 104*b188*b387 + 20*b188*b403
      + 102*b188*b423 + 138*b188*b429 - 98*b188*b443 + 80*b188*b449 - 136*b188*
     b456 + 70*b188*b457 + 24*b188*b464 - 116*b188*b472 - 20*b188*b490 - 116*
     b188*b493 + 116*b188*b495 + 134*b189*b192 - 192*b189*b193 - 98*b189*b196
      - 70*b189*b199 + 62*b189*b202 - 4*b189*b220 + 4*b189*b223 + 120*b189*b228
      - 112*b189*b235 - 60*b189*b240 - 156*b189*b242 - 108*b189*b250 - 184*b189
     *b252 + 26*b189*b274 + 118*b189*b275 + 12*b189*b278 - 180*b189*b289 - 178*
     b189*b293 - 74*b189*b300 - 4*b189*b301 + 56*b189*b310 - 64*b189*b315 - 4*
     b189*b324 - 194*b189*b327 - 170*b189*b342 - 12*b189*b377 - 94*b189*b382 - 
     194*b189*b391 - 150*b189*b392 + 78*b189*b408 - 54*b189*b437 + 104*b189*
     b449 + 104*b189*b451 + 6*b189*b455 - 28*b189*b490 - 52*b189*b496 - 16*b190
     *b191 + 176*b190*b204 + 116*b190*b232 - 14*b190*b271 - 126*b190*b272 - 46*
     b190*b290 + 190*b190*b321 - 138*b190*b347 - 102*b190*b348 - 72*b190*b366
      - 148*b190*b377 - 172*b190*b384 + 12*b190*b388 + 96*b190*b391 + 166*b190*
     b400 + 70*b190*b407 - 2*b190*b413 - 66*b190*b419 - 174*b190*b426 - 104*
     b190*b448 + 82*b190*b465 + 20*b190*b467 - 28*b190*b479 + 64*b190*b480 + 
     146*b190*b488 + 118*b190*b494 - 68*b191*b217 - 82*b191*b220 + 10*b191*b221
      + 34*b191*b222 + 70*b191*b236 + 186*b191*b250 + 68*b191*b259 + 156*b191*
     b284 - 184*b191*b285 + 162*b191*b319 - 164*b191*b332 + 2*b191*b348 + 180*
     b191*b362 - 148*b191*b372 + 200*b191*b392 - 130*b191*b417 - 68*b191*b434
      + 196*b191*b439 - 162*b191*b452 - 178*b191*b454 - 82*b191*b464 - 112*b191
     *b466 + 192*b191*b469 + 42*b191*b487 + 10*b192*b193 - 184*b192*b202 + 176*
     b192*b205 - 172*b192*b211 + 104*b192*b215 - 54*b192*b216 - 6*b192*b229 + 
     172*b192*b230 - 46*b192*b261 - 2*b192*b263 - 176*b192*b281 - 144*b192*b299
      - 88*b192*b313 + 200*b192*b320 - 124*b192*b328 + 30*b192*b333 + 142*b192*
     b342 - 180*b192*b347 + 42*b192*b354 + 94*b192*b356 - 74*b192*b360 - 40*
     b192*b377 + 60*b192*b381 + 46*b192*b383 + 38*b192*b411 - 120*b192*b414 - 
     80*b192*b424 - 38*b192*b430 - 138*b192*b458 + 166*b192*b467 - 152*b192*
     b498 + 144*b193*b198 + 184*b193*b208 + 168*b193*b213 + 192*b193*b229 - 120
     *b193*b231 - 160*b193*b234 - 118*b193*b265 + 22*b193*b279 + 76*b193*b294
      + 114*b193*b303 - 92*b193*b304 + 120*b193*b309 - 126*b193*b310 - 38*b193*
     b319 + 194*b193*b321 - 142*b193*b332 + 74*b193*b337 - 178*b193*b342 - 12*
     b193*b347 - 30*b193*b353 - 102*b193*b357 + 178*b193*b397 - 194*b193*b412
      - 40*b193*b433 + 168*b193*b445 - 42*b193*b447 + 64*b193*b465 - 30*b193*
     b471 - 156*b193*b475 - 120*b193*b486 + 84*b193*b493 - 18*b193*b501 + 8*
     b194*b214 - 18*b194*b215 - 118*b194*b249 + 32*b194*b256 + 192*b194*b257 + 
     192*b194*b260 - 18*b194*b275 - 148*b194*b279 + 158*b194*b299 + 42*b194*
     b312 - 176*b194*b315 - 92*b194*b340 - 62*b194*b347 + 192*b194*b373 + 52*
     b194*b376 - 82*b194*b406 - 182*b194*b409 + 86*b194*b437 - 192*b194*b443 - 
     38*b194*b456 + 80*b194*b459 + 118*b194*b464 + 30*b194*b471 + 198*b194*b482
      + 162*b194*b484 + 134*b195*b214 - 136*b195*b217 - 116*b195*b254 + 128*
     b195*b260 - 160*b195*b273 - 10*b195*b290 + 62*b195*b296 + 78*b195*b304 + 
     20*b195*b308 - 138*b195*b311 - 156*b195*b315 + 146*b195*b330 + 200*b195*
     b342 - 30*b195*b353 + 188*b195*b366 - 104*b195*b377 + 100*b195*b405 + 38*
     b195*b409 + 82*b195*b412 + 170*b195*b414 + 12*b195*b419 + 86*b195*b422 + 
     58*b195*b433 - 108*b195*b439 - 2*b195*b458 + 186*b195*b461 - 150*b195*b475
      - 132*b195*b478 - 20*b195*b484 - 166*b195*b485 - 52*b195*b492 - 162*b195*
     b495 + 24*b195*b501 + 56*b196*b201 + 62*b196*b205 - 104*b196*b215 - 110*
     b196*b217 + 40*b196*b223 - 108*b196*b225 + 182*b196*b236 + 138*b196*b255
      - 16*b196*b269 + 6*b196*b272 - 174*b196*b297 - 124*b196*b302 + 98*b196*
     b304 - 98*b196*b311 + 162*b196*b322 + 134*b196*b328 - 48*b196*b330 - 34*
     b196*b354 - 54*b196*b355 - 142*b196*b358 - 22*b196*b360 - 160*b196*b361 + 
     94*b196*b364 - 122*b196*b396 + 18*b196*b397 - 86*b196*b407 + 64*b196*b446
      - 112*b196*b456 + 62*b196*b487 - 124*b197*b204 - 118*b197*b212 - 128*b197
     *b223 - 82*b197*b235 + 120*b197*b265 + 32*b197*b274 - 38*b197*b281 + 112*
     b197*b283 + 48*b197*b296 + 114*b197*b313 - 78*b197*b319 - 192*b197*b324 - 
     110*b197*b325 + 114*b197*b336 + 14*b197*b354 + 164*b197*b357 - 78*b197*
     b369 + 38*b197*b384 - 118*b197*b385 - 190*b197*b391 + 170*b197*b396 + 28*
     b197*b400 - 84*b197*b409 - 34*b197*b416 + 120*b197*b421 - 198*b197*b422 - 
     74*b197*b462 + 24*b197*b465 - 24*b197*b482 + 122*b198*b207 - 98*b198*b218
      - 162*b198*b232 - 160*b198*b239 + 16*b198*b241 - 134*b198*b251 + 166*b198
     *b252 - 120*b198*b273 + 62*b198*b276 + 140*b198*b326 - 12*b198*b335 + 50*
     b198*b344 + 184*b198*b360 + 98*b198*b383 - 82*b198*b385 + 130*b198*b392 - 
     70*b198*b394 - 58*b198*b405 - 146*b198*b415 + 30*b198*b442 - 98*b198*b443
      - 128*b198*b446 + 150*b198*b464 + 118*b198*b474 - 50*b198*b477 - 102*b198
     *b501 - 164*b199*b201 + 76*b199*b239 - 80*b199*b249 + 142*b199*b265 - 20*
     b199*b293 + 114*b199*b301 - 112*b199*b317 - 162*b199*b328 - 144*b199*b330
      - 74*b199*b337 + 136*b199*b345 - 154*b199*b346 - 108*b199*b359 - 74*b199*
     b398 + 60*b199*b414 + 30*b199*b415 - 168*b199*b416 - 116*b199*b422 - 194*
     b199*b426 - 112*b199*b442 + 170*b199*b450 + 140*b199*b457 + 40*b199*b466
      + 144*b199*b497 + 34*b199*b501 - 8*b200*b214 + 8*b200*b215 - 36*b200*b218
      - 88*b200*b241 + 150*b200*b247 + 94*b200*b254 + 52*b200*b259 + 34*b200*
     b260 + 20*b200*b302 + 100*b200*b309 - 122*b200*b324 - 182*b200*b329 + 186*
     b200*b342 + 90*b200*b343 + 18*b200*b350 + 98*b200*b354 + 84*b200*b361 - 
     120*b200*b370 + 98*b200*b374 - 154*b200*b375 - 10*b200*b388 - 62*b200*b410
      + 186*b200*b412 - 2*b200*b427 + 80*b200*b428 - 166*b200*b431 - 198*b200*
     b432 - 88*b200*b438 - 170*b200*b456 - 46*b200*b465 + 160*b200*b470 - 164*
     b201*b213 - 142*b201*b240 + 158*b201*b248 - 62*b201*b259 - 80*b201*b260 - 
     36*b201*b268 - 182*b201*b275 - 10*b201*b287 + 20*b201*b296 - 160*b201*b300
      - 144*b201*b313 + 96*b201*b315 - 66*b201*b318 + 140*b201*b332 + 54*b201*
     b354 + 14*b201*b356 - 182*b201*b363 - 14*b201*b375 + 56*b201*b383 - 60*
     b201*b387 - 98*b201*b397 + 54*b201*b399 + 56*b201*b453 + 196*b201*b468 + 
     106*b201*b469 + 94*b201*b472 + 70*b201*b475 - 168*b201*b480 + 168*b201*
     b483 - 164*b201*b484 + 46*b202*b218 - 142*b202*b258 - 32*b202*b260 - 12*
     b202*b262 - 170*b202*b269 + 2*b202*b270 + 28*b202*b271 + 94*b202*b282 - 72
     *b202*b291 + 192*b202*b295 - 80*b202*b317 - 88*b202*b325 + 118*b202*b376
      + 58*b202*b384 + 120*b202*b390 + 26*b202*b395 - 88*b202*b406 + 156*b202*
     b416 + 148*b202*b417 + 146*b202*b426 - 30*b202*b432 + 46*b202*b433 + 50*
     b202*b435 - 80*b202*b437 - 82*b202*b447 + 144*b202*b454 - 152*b202*b461 + 
     78*b202*b467 + 4*b202*b472 + 42*b202*b490 - 50*b202*b491 + 42*b202*b497 - 
     54*b203*b213 + 38*b203*b224 + 40*b203*b237 - 190*b203*b244 - 24*b203*b261
      + 176*b203*b265 - 20*b203*b269 - 30*b203*b286 + 56*b203*b289 - 14*b203*
     b309 - 128*b203*b329 + 150*b203*b332 + 72*b203*b351 + 86*b203*b353 + 98*
     b203*b354 - 102*b203*b393 + 88*b203*b395 + 162*b203*b400 + 60*b203*b402 - 
     50*b203*b404 + 90*b203*b430 - 92*b203*b431 + 110*b203*b454 + 46*b203*b455
      + 56*b203*b456 + 172*b203*b464 - 136*b203*b472 + 128*b203*b477 + 66*b203*
     b479 - 142*b203*b480 + 154*b203*b491 + 190*b203*b498 - 116*b203*b500 + 104
     *b204*b219 + 114*b204*b227 - 100*b204*b229 + 182*b204*b230 + 142*b204*b234
      - 120*b204*b235 - 172*b204*b236 - 38*b204*b237 - 62*b204*b238 - 162*b204*
     b244 + 174*b204*b275 - 122*b204*b284 + 16*b204*b287 - 190*b204*b309 - 10*
     b204*b334 - 178*b204*b372 + 22*b204*b374 + 74*b204*b385 - 18*b204*b398 + 
     188*b204*b415 - 110*b204*b417 - 186*b204*b427 - 178*b204*b435 + 60*b204*
     b444 - 98*b204*b455 - 30*b204*b479 + 168*b204*b490 - 76*b205*b207 + 200*
     b205*b218 + 132*b205*b223 + 38*b205*b238 + 110*b205*b247 + 172*b205*b250
      + 58*b205*b265 - 36*b205*b266 - 134*b205*b307 - 162*b205*b313 + 198*b205*
     b326 + 176*b205*b330 - 10*b205*b342 - 8*b205*b350 - 12*b205*b352 - 136*
     b205*b359 + 12*b205*b361 + 6*b205*b379 + 96*b205*b389 - 102*b205*b395 - 6*
     b205*b400 + 156*b205*b412 + 192*b205*b418 + 46*b205*b424 + 38*b205*b465 - 
     94*b205*b467 - 76*b205*b468 + 112*b205*b476 + 8*b205*b480 + 120*b205*b486
      - 184*b205*b491 - 78*b205*b496 + 110*b206*b210 - 174*b206*b211 - 72*b206*
     b217 - 156*b206*b243 + 132*b206*b245 + 158*b206*b248 - 130*b206*b251 + 60*
     b206*b253 - 190*b206*b255 - 138*b206*b257 - 132*b206*b274 + 90*b206*b275
      + 94*b206*b281 + 146*b206*b302 + 148*b206*b305 + 182*b206*b314 - 104*b206
     *b317 + 160*b206*b351 - 94*b206*b377 - 136*b206*b397 + 86*b206*b417 - 68*
     b206*b430 - 40*b206*b447 + 148*b206*b471 + 12*b206*b494 - 120*b206*b495 - 
     38*b206*b498 + 198*b207*b211 - 150*b207*b222 + 134*b207*b234 + 80*b207*
     b235 + 52*b207*b244 + 56*b207*b257 - 26*b207*b278 - 56*b207*b303 + 62*b207
     *b312 + 198*b207*b321 + 138*b207*b335 + 164*b207*b338 + 192*b207*b362 - 
     176*b207*b376 - 138*b207*b381 - 178*b207*b386 - 182*b207*b397 - 154*b207*
     b424 + 44*b207*b444 + 116*b207*b446 + 110*b207*b471 + 122*b207*b474 + 154*
     b207*b475 - 12*b207*b486 - 152*b207*b500 + 54*b208*b221 - 48*b208*b239 + 
     104*b208*b250 - 8*b208*b261 - 134*b208*b265 - 26*b208*b267 + 62*b208*b272
      - 72*b208*b290 - 172*b208*b299 + 2*b208*b310 + 86*b208*b311 - 58*b208*
     b325 - 70*b208*b328 + 166*b208*b336 + 92*b208*b340 + 168*b208*b347 + 118*
     b208*b358 - 36*b208*b383 - 104*b208*b390 - 170*b208*b392 - 114*b208*b395
      - 48*b208*b404 - 178*b208*b427 - 118*b208*b436 + 50*b208*b437 - 154*b208*
     b446 + 2*b208*b448 + 46*b208*b449 + 24*b208*b456 + 44*b208*b486 - 96*b208*
     b487 - 94*b208*b490 - 162*b209*b233 + 54*b209*b234 + 170*b209*b253 + 150*
     b209*b260 - 10*b209*b269 + 184*b209*b270 + 72*b209*b291 + 128*b209*b292 - 
     144*b209*b314 + 180*b209*b332 + 68*b209*b335 - 22*b209*b345 - 82*b209*b357
      - 70*b209*b362 - 142*b209*b370 - 160*b209*b373 - 50*b209*b383 - 192*b209*
     b396 + 124*b209*b407 + 180*b209*b421 + 170*b209*b446 + 90*b209*b448 - 98*
     b209*b471 + 178*b209*b479 + 188*b209*b484 + 152*b210*b218 + 28*b210*b232
      + 62*b210*b235 + 170*b210*b241 - 98*b210*b242 - 96*b210*b271 - 48*b210*
     b282 + 56*b210*b284 - 102*b210*b285 - 106*b210*b293 + 190*b210*b295 + 146*
     b210*b298 - 118*b210*b304 + 164*b210*b334 + 10*b210*b346 - 68*b210*b355 + 
     150*b210*b403 + 140*b210*b433 + 196*b210*b434 - 66*b210*b455 - 144*b210*
     b469 + 82*b210*b472 + 198*b211*b215 - 50*b211*b219 - 126*b211*b221 - 48*
     b211*b253 + 158*b211*b264 + 140*b211*b287 - 10*b211*b301 + 32*b211*b322 - 
     52*b211*b325 - 4*b211*b341 + 4*b211*b363 - 44*b211*b379 + 22*b211*b392 + 
     148*b211*b393 + 194*b211*b399 - 150*b211*b406 - 82*b211*b407 + 114*b211*
     b436 + 58*b211*b444 + 86*b211*b450 + 106*b211*b457 + 152*b211*b458 + 138*
     b211*b464 - 162*b211*b481 + 78*b211*b486 - 132*b211*b489 - 136*b211*b490
      - 90*b212*b216 - 180*b212*b261 + 120*b212*b266 - 182*b212*b291 - 2*b212*
     b303 + 142*b212*b310 - 160*b212*b321 + 154*b212*b325 - 124*b212*b330 - 178
     *b212*b331 - 52*b212*b334 + 122*b212*b343 + 58*b212*b358 - 192*b212*b368
      - 140*b212*b374 - 152*b212*b377 + 124*b212*b395 + 36*b212*b412 + 150*b212
     *b413 + 188*b212*b426 + 150*b212*b441 - 128*b212*b449 + 22*b212*b457 + 18*
     b212*b461 - 38*b212*b468 + 74*b212*b474 + 16*b212*b480 - 192*b212*b490 - 
     174*b213*b214 - 150*b213*b216 + 46*b213*b240 - 154*b213*b244 + 188*b213*
     b264 + 178*b213*b268 - 106*b213*b275 + 182*b213*b276 + 68*b213*b280 - 6*
     b213*b282 + 130*b213*b294 - 102*b213*b301 + 86*b213*b318 + 148*b213*b323
      + 6*b213*b343 - 114*b213*b349 + 68*b213*b352 + 84*b213*b360 - 130*b213*
     b368 + 98*b213*b380 - 82*b213*b386 + 68*b213*b395 + 10*b213*b399 - 144*
     b213*b415 - 34*b213*b419 - 140*b213*b445 - 112*b213*b461 + 6*b213*b469 + 
     176*b213*b492 - 98*b213*b499 - 182*b213*b501 + 110*b214*b223 + 174*b214*
     b229 + 120*b214*b239 + 34*b214*b244 + 46*b214*b261 - 148*b214*b268 - 192*
     b214*b283 - 140*b214*b299 + 122*b214*b315 - 136*b214*b338 - 24*b214*b351
      + 110*b214*b362 + 92*b214*b365 + 30*b214*b367 - 102*b214*b377 - 10*b214*
     b378 + 84*b214*b384 + 56*b214*b394 - 144*b214*b397 - 98*b214*b398 + 50*
     b214*b399 + 120*b214*b420 + 100*b214*b428 + 16*b214*b430 - 186*b214*b433
      - 104*b214*b437 + 142*b214*b445 + 174*b214*b450 - 142*b214*b470 + 34*b214
     *b477 - 184*b214*b486 + 106*b214*b498 - 180*b215*b218 + 114*b215*b227 + 
     156*b215*b234 - 66*b215*b242 + 30*b215*b276 + 116*b215*b277 + 2*b215*b286
      + 104*b215*b295 - 112*b215*b296 - 152*b215*b312 - 108*b215*b317 - 148*
     b215*b320 - 134*b215*b328 - 150*b215*b345 - 172*b215*b364 - 52*b215*b366
      - 112*b215*b368 - 60*b215*b371 - 56*b215*b377 - 180*b215*b384 + 192*b215*
     b387 + 104*b215*b409 + 12*b215*b415 + 132*b215*b417 - 128*b215*b433 - 178*
     b215*b435 + 126*b215*b445 + 156*b215*b452 + 66*b215*b471 + 166*b215*b475
      + 162*b215*b476 + 62*b215*b481 - 14*b216*b221 + 98*b216*b226 + 112*b216*
     b242 - 36*b216*b246 - 60*b216*b251 + 30*b216*b269 - 42*b216*b272 - 106*
     b216*b279 + 94*b216*b282 + 24*b216*b284 - 106*b216*b305 + 158*b216*b310 + 
     80*b216*b314 - 96*b216*b315 + 144*b216*b317 - 144*b216*b329 + 162*b216*
     b330 + 126*b216*b333 - 82*b216*b337 - 154*b216*b339 - 194*b216*b349 + 42*
     b216*b366 + 186*b216*b369 - 62*b216*b376 - 146*b216*b386 - 30*b216*b387 + 
     200*b216*b394 - 106*b216*b423 + 138*b216*b434 + 56*b216*b445 - 40*b216*
     b446 - 138*b216*b449 + 96*b216*b461 + 152*b216*b463 + 82*b216*b475 + 12*
     b216*b485 + 198*b216*b490 - 22*b217*b218 + 26*b217*b226 + 162*b217*b232 - 
     26*b217*b245 + 192*b217*b264 - 36*b217*b268 + 6*b217*b271 + 100*b217*b281
      - 70*b217*b289 - 122*b217*b319 + 168*b217*b341 - 38*b217*b348 - 62*b217*
     b391 - 46*b217*b397 - 138*b217*b406 - 28*b217*b423 - 174*b217*b440 - 46*
     b217*b447 - 100*b217*b468 + 26*b217*b473 + 22*b218*b225 + 26*b218*b228 - 
     100*b218*b241 - 64*b218*b255 - 194*b218*b265 - 8*b218*b266 - 82*b218*b281
      + 124*b218*b300 - 86*b218*b328 - 14*b218*b333 - 96*b218*b336 - 92*b218*
     b341 + 34*b218*b352 - 188*b218*b353 - 38*b218*b358 + 168*b218*b365 - 54*
     b218*b366 - 186*b218*b370 + 124*b218*b383 - 58*b218*b406 - 32*b218*b408 + 
     74*b218*b412 + 98*b218*b429 - 50*b218*b445 + 18*b218*b447 + 46*b218*b454
      + 200*b218*b465 + 174*b218*b490 - 30*b218*b491 - 192*b218*b501 + 104*b219
     *b232 - 54*b219*b234 - 64*b219*b240 - 154*b219*b258 + 64*b219*b268 + 116*
     b219*b270 + 140*b219*b275 - 4*b219*b280 + 136*b219*b297 - 70*b219*b304 - 
     188*b219*b305 + 156*b219*b313 + 92*b219*b314 + 170*b219*b322 + 40*b219*
     b325 + 196*b219*b331 + 94*b219*b336 + 48*b219*b375 + 18*b219*b385 - 142*
     b219*b390 - 50*b219*b394 - 182*b219*b395 - 148*b219*b415 + 68*b219*b425 - 
     134*b219*b441 + 152*b219*b448 - 54*b219*b451 - 100*b219*b467 + 44*b219*
     b487 + 114*b219*b489 + 12*b219*b493 - 176*b219*b497 + 140*b220*b234 - 20*
     b220*b272 + 52*b220*b275 + 168*b220*b286 + 184*b220*b301 + 26*b220*b303 + 
     62*b220*b353 - 150*b220*b355 + 114*b220*b371 + 48*b220*b372 + 108*b220*
     b393 - 120*b220*b404 + 50*b220*b429 - 50*b220*b437 + 12*b220*b454 + 114*
     b220*b456 - 96*b220*b463 - 150*b220*b474 - 14*b220*b487 + 200*b221*b226 - 
     138*b221*b227 - 58*b221*b235 + 48*b221*b243 - 190*b221*b246 - 170*b221*
     b249 - 64*b221*b253 - 62*b221*b255 + 90*b221*b265 + 136*b221*b273 + 132*
     b221*b274 + 74*b221*b296 + 156*b221*b319 - 108*b221*b324 - 32*b221*b338 - 
     4*b221*b358 - 72*b221*b362 - 76*b221*b365 + 116*b221*b370 - 110*b221*b383
      + 54*b221*b391 + 24*b221*b410 + 10*b221*b431 - 36*b221*b438 - 94*b221*
     b440 + 190*b221*b443 + 8*b221*b457 + 14*b221*b473 + 72*b221*b482 - 66*b221
     *b489 - 176*b221*b497 - 66*b222*b233 - 90*b222*b235 + 188*b222*b261 + 100*
     b222*b262 + 132*b222*b267 + 98*b222*b270 - 14*b222*b284 + 20*b222*b294 + 
     100*b222*b298 + 176*b222*b369 - 30*b222*b377 - 118*b222*b386 - 2*b222*b400
      + 12*b222*b422 - 122*b222*b426 - 162*b222*b427 + 164*b222*b451 - 40*b222*
     b495 + 172*b222*b501 - 70*b223*b231 - 166*b223*b253 - 190*b223*b256 + 68*
     b223*b277 - 174*b223*b286 + 180*b223*b293 - 170*b223*b311 - 86*b223*b352
      + 116*b223*b354 + 28*b223*b356 - 152*b223*b368 + 188*b223*b369 + 30*b223*
     b384 + 140*b223*b386 + 20*b223*b391 + 106*b223*b411 - 54*b223*b421 - 134*
     b223*b474 + 12*b223*b482 + 28*b223*b483 - 124*b223*b493 + 94*b224*b228 - 
     186*b224*b242 - 190*b224*b244 + 78*b224*b252 + 90*b224*b262 + 76*b224*b270
      - 174*b224*b291 - 118*b224*b295 + 82*b224*b320 + 42*b224*b335 - 16*b224*
     b336 - 4*b224*b341 - 142*b224*b373 + 114*b224*b390 - 28*b224*b406 + 30*
     b224*b421 - 60*b224*b436 + 102*b224*b446 - 122*b224*b448 + 92*b224*b455 - 
     62*b224*b464 + 188*b224*b471 + 122*b224*b481 + 142*b225*b236 - 74*b225*
     b299 + 198*b225*b307 - 124*b225*b311 + 138*b225*b318 - 90*b225*b335 - 42*
     b225*b349 - 128*b225*b354 - 26*b225*b365 - 66*b225*b373 + 180*b225*b382 + 
     112*b225*b385 + 12*b225*b392 + 116*b225*b394 + 174*b225*b402 - 82*b225*
     b404 - 170*b225*b405 - 82*b225*b408 - 124*b225*b409 + 174*b225*b411 + 138*
     b225*b419 - 108*b225*b436 + 52*b225*b438 + 164*b225*b470 + 86*b225*b484 - 
     130*b225*b490 - 20*b225*b493 - 118*b226*b227 - 14*b226*b231 - 170*b226*
     b242 + 48*b226*b245 - 154*b226*b247 - 196*b226*b259 - 70*b226*b268 - 198*
     b226*b269 + 94*b226*b292 + 192*b226*b299 + 92*b226*b307 + 124*b226*b316 + 
     130*b226*b322 + 122*b226*b331 - 56*b226*b336 - 30*b226*b340 - 112*b226*
     b346 + 42*b226*b376 + 76*b226*b392 - 40*b226*b400 + 10*b226*b416 + 186*
     b226*b425 - 132*b226*b427 - 84*b226*b439 - 34*b226*b449 + 22*b226*b478 - 
     158*b226*b483 + 86*b226*b487 + 130*b226*b501 - 44*b227*b235 + 24*b227*b241
      + 64*b227*b246 + 20*b227*b264 - 188*b227*b293 + 190*b227*b317 - 26*b227*
     b322 + 186*b227*b329 - 114*b227*b342 + 158*b227*b354 + 56*b227*b356 - 62*
     b227*b374 + 152*b227*b381 + 24*b227*b388 - 130*b227*b407 - 110*b227*b423
      + 176*b227*b426 - 152*b227*b427 - 64*b227*b432 + 92*b227*b455 + 158*b227*
     b461 + 20*b227*b462 - 12*b227*b467 - 136*b227*b483 - 22*b227*b491 - 108*
     b227*b493 - 44*b228*b230 - 92*b228*b248 - 12*b228*b250 + 140*b228*b253 + 
     178*b228*b268 + 182*b228*b281 + 140*b228*b307 - 82*b228*b312 + 58*b228*
     b317 + 60*b228*b328 + 130*b228*b361 + 42*b228*b362 + 86*b228*b367 - 148*
     b228*b370 - 116*b228*b373 + 136*b228*b392 - 176*b228*b404 + 46*b228*b407
      - 128*b228*b416 + 64*b228*b420 - 30*b228*b437 - 184*b228*b440 + 126*b228*
     b442 + 42*b228*b452 - 12*b228*b453 - 68*b228*b474 + 168*b228*b483 + 198*
     b228*b491 + 96*b228*b495 - 186*b229*b230 + 104*b229*b241 + 32*b229*b242 - 
     84*b229*b248 + 200*b229*b255 + 182*b229*b264 + 108*b229*b270 + 58*b229*
     b282 - 110*b229*b286 + 18*b229*b344 + 52*b229*b360 - 36*b229*b366 - 190*
     b229*b369 - 160*b229*b371 + 58*b229*b374 + 136*b229*b378 - 182*b229*b414
      + 80*b229*b421 - 140*b229*b437 + 20*b229*b443 - 196*b229*b453 - 78*b229*
     b468 + 196*b229*b479 - 92*b229*b486 + 150*b230*b233 + 174*b230*b234 + 188*
     b230*b255 - 106*b230*b258 + 116*b230*b263 + 138*b230*b265 - 166*b230*b269
      + 178*b230*b273 + 184*b230*b277 - 90*b230*b303 + 76*b230*b336 - 188*b230*
     b338 - 148*b230*b367 - 22*b230*b375 - 186*b230*b399 - 108*b230*b401 + 178*
     b230*b406 + 76*b230*b421 + 2*b230*b433 + 40*b230*b442 + 118*b230*b454 - 88
     *b230*b475 + 120*b230*b478 + 8*b230*b482 + 140*b230*b493 - 120*b230*b497
      - 108*b230*b500 - 12*b230*b501 + 96*b231*b232 - 96*b231*b254 - 162*b231*
     b269 + 98*b231*b272 + 8*b231*b283 + 20*b231*b285 - 38*b231*b318 - 166*b231
     *b334 + 86*b231*b335 + 86*b231*b336 + 36*b231*b362 - 172*b231*b368 + 6*
     b231*b372 - 174*b231*b375 + 54*b231*b380 + 138*b231*b381 + 120*b231*b382
      + 10*b231*b383 + 170*b231*b396 + 142*b231*b407 + 122*b231*b409 - 134*b231
     *b417 - 100*b231*b425 + 62*b231*b431 - 20*b231*b444 + 88*b231*b449 - 184*
     b231*b466 + 122*b231*b494 - 178*b232*b252 - 58*b232*b253 - 8*b232*b261 - 
     150*b232*b263 - 68*b232*b265 + 46*b232*b276 + 2*b232*b287 - 144*b232*b298
      - 196*b232*b302 - 124*b232*b303 + 150*b232*b320 + 172*b232*b335 + 186*
     b232*b339 + 188*b232*b388 - 74*b232*b395 - 134*b232*b405 - 80*b232*b411 - 
     20*b232*b420 - 20*b232*b422 + 6*b232*b424 - 40*b232*b442 + 62*b232*b467 + 
     132*b232*b471 - 112*b232*b481 - 82*b232*b488 - 60*b232*b495 - 90*b233*b237
      - 46*b233*b253 - 84*b233*b256 - 100*b233*b272 - 12*b233*b275 - 196*b233*
     b282 + 158*b233*b284 + 116*b233*b291 + 98*b233*b292 - 40*b233*b297 + 42*
     b233*b319 + 108*b233*b322 + 82*b233*b332 + 68*b233*b364 - 80*b233*b370 + 
     64*b233*b375 - 126*b233*b386 - 74*b233*b397 - 178*b233*b403 + 20*b233*b408
      + 72*b233*b413 - 22*b233*b426 - 102*b233*b430 - 174*b233*b432 + 146*b233*
     b435 - 158*b233*b438 - 160*b233*b443 + 164*b233*b447 + 14*b233*b448 + 56*
     b233*b465 - 182*b233*b473 + 166*b233*b493 + 56*b234*b252 + 4*b234*b269 - 
     182*b234*b277 + 78*b234*b279 - 2*b234*b301 - 6*b234*b317 + 12*b234*b333 - 
     86*b234*b335 + 156*b234*b355 - 194*b234*b356 - 140*b234*b366 - 156*b234*
     b372 + 156*b234*b379 - 154*b234*b380 - 62*b234*b395 - 186*b234*b416 - 100*
     b234*b419 - 80*b234*b423 + 64*b234*b435 + 42*b234*b438 + 142*b234*b445 - 
     120*b234*b448 - 128*b234*b459 + 40*b234*b460 + 108*b234*b464 + 200*b234*
     b478 - 190*b234*b486 - 62*b234*b489 + 150*b234*b492 - 70*b235*b239 + 134*
     b235*b241 - 168*b235*b245 - 118*b235*b251 + 54*b235*b262 + 190*b235*b290
      - 122*b235*b299 - 76*b235*b301 - 30*b235*b304 + 20*b235*b316 + 200*b235*
     b319 + 186*b235*b341 - 58*b235*b342 + 38*b235*b354 + 108*b235*b380 - 24*
     b235*b385 - 196*b235*b390 + 124*b235*b411 + 92*b235*b434 + 74*b235*b447 + 
     56*b235*b459 + 198*b235*b461 - 16*b235*b479 + 126*b235*b484 - 140*b235*
     b485 + 148*b235*b497 - 174*b236*b238 - 22*b236*b250 - 184*b236*b251 + 96*
     b236*b256 + 108*b236*b257 + 190*b236*b264 + 94*b236*b265 - 66*b236*b266 - 
     50*b236*b287 + 138*b236*b303 + 6*b236*b326 + 180*b236*b340 - 96*b236*b344
      + 200*b236*b353 - 16*b236*b357 - 148*b236*b362 - 32*b236*b363 + 10*b236*
     b366 - 44*b236*b381 - 138*b236*b384 - 48*b236*b390 - 78*b236*b402 + 90*
     b236*b403 + 32*b236*b406 + 64*b236*b444 - 92*b236*b492 - 172*b236*b499 + 
     162*b237*b239 + 112*b237*b241 + 100*b237*b245 + 22*b237*b258 - 50*b237*
     b265 - 60*b237*b268 - 198*b237*b290 + 142*b237*b302 + 138*b237*b303 - 102*
     b237*b304 + 104*b237*b305 - 140*b237*b313 + 134*b237*b333 + 58*b237*b341
      - 74*b237*b345 + 48*b237*b361 + 140*b237*b367 + 180*b237*b393 - 76*b237*
     b395 - 70*b237*b396 - 96*b237*b416 + 100*b237*b420 + 48*b237*b421 - 14*
     b237*b433 + 122*b237*b434 + 188*b237*b438 + 132*b237*b445 - 52*b237*b446
      + 152*b237*b447 - 88*b237*b463 + 162*b237*b464 + 190*b237*b484 - 166*b237
     *b494 - 110*b238*b258 + 76*b238*b266 + 144*b238*b303 - 104*b238*b355 - 128
     *b238*b365 - 182*b238*b375 - 98*b238*b376 - 192*b238*b388 + 110*b238*b393
      + 52*b238*b412 - 12*b238*b416 - 32*b238*b420 - 162*b238*b422 + 152*b238*
     b435 - 92*b238*b458 + 60*b238*b472 - 22*b238*b494 + 72*b238*b501 + 18*b239
     *b243 + 128*b239*b255 - 40*b239*b311 - 108*b239*b315 + 64*b239*b322 + 138*
     b239*b325 + 30*b239*b329 + 32*b239*b332 + 130*b239*b333 + 176*b239*b336 + 
     168*b239*b379 + 152*b239*b392 - 58*b239*b427 + 126*b239*b431 - 46*b239*
     b432 - 40*b239*b451 + 162*b239*b452 - 90*b239*b456 - 160*b239*b465 + 62*
     b239*b479 + 108*b239*b480 + 178*b239*b482 + 48*b239*b492 + 168*b240*b247
      + 130*b240*b259 + 178*b240*b266 + 174*b240*b267 + 134*b240*b285 + 4*b240*
     b293 + 194*b240*b314 + 56*b240*b337 + 28*b240*b353 + 198*b240*b359 - 2*
     b240*b365 + 142*b240*b366 - 116*b240*b380 + 58*b240*b399 - 146*b240*b410
      + 124*b240*b424 + 66*b240*b430 - 194*b240*b473 + 132*b240*b484 - 106*b241
     *b244 - 104*b241*b252 - 168*b241*b272 + 90*b241*b282 + 2*b241*b302 + 106*
     b241*b304 + 68*b241*b311 - 106*b241*b313 - 48*b241*b315 - 36*b241*b319 + 
     64*b241*b325 - 122*b241*b333 - 90*b241*b355 + 172*b241*b365 + 104*b241*
     b372 + 128*b241*b392 + 78*b241*b402 + 90*b241*b407 - 14*b241*b421 + 108*
     b241*b458 - 58*b241*b459 - 100*b241*b469 + 50*b241*b492 - 68*b242*b245 - 
     106*b242*b276 + 122*b242*b281 + 26*b242*b285 + 12*b242*b292 - 120*b242*
     b294 + 34*b242*b316 - 164*b242*b337 + 102*b242*b351 + 64*b242*b364 + 96*
     b242*b387 + 180*b242*b396 + 196*b242*b418 + 16*b242*b439 + 8*b242*b441 - 
     122*b242*b448 - 162*b242*b452 + 54*b242*b453 + 122*b242*b466 - 172*b242*
     b468 - 18*b242*b482 - 178*b243*b247 + 158*b243*b269 + 28*b243*b272 - 62*
     b243*b303 - 86*b243*b312 - 176*b243*b317 - 112*b243*b327 + 30*b243*b339 + 
     94*b243*b345 - 26*b243*b347 + 12*b243*b352 + 60*b243*b363 + 146*b243*b378
      - 160*b243*b379 - 130*b243*b380 + 32*b243*b385 + 60*b243*b392 + 168*b243*
     b395 + 136*b243*b413 + 110*b243*b421 - 122*b243*b422 - 96*b243*b435 - 134*
     b243*b464 - 8*b243*b473 + 98*b243*b484 - 98*b243*b489 - 194*b243*b501 - 92
     *b244*b263 + 88*b244*b273 + 60*b244*b280 - 20*b244*b286 + 86*b244*b293 + 
     12*b244*b299 - 42*b244*b305 + 14*b244*b341 - 96*b244*b347 + 54*b244*b348
      - 196*b244*b366 - 90*b244*b372 + 168*b244*b377 - 196*b244*b378 - 82*b244*
     b379 - 96*b244*b383 + 168*b244*b387 + 98*b244*b396 + 162*b244*b397 - 32*
     b244*b408 + 32*b244*b420 + 160*b244*b431 + 138*b244*b437 + 134*b244*b464
      + 6*b244*b474 - 70*b244*b477 - 74*b244*b478 - 12*b244*b493 + 32*b244*b495
      - 86*b244*b498 - 120*b244*b501 + 104*b245*b250 + 38*b245*b252 - 108*b245*
     b264 - 74*b245*b286 + 140*b245*b293 - 60*b245*b309 - 112*b245*b313 + 20*
     b245*b314 + 48*b245*b318 - 138*b245*b328 + 140*b245*b332 + 128*b245*b366
      + 50*b245*b369 + 116*b245*b373 + 32*b245*b376 - 116*b245*b383 - 30*b245*
     b408 + 192*b245*b417 - 114*b245*b418 + 112*b245*b437 - 22*b245*b438 + 6*
     b245*b455 + 114*b245*b463 + 46*b245*b468 - 88*b245*b477 + 136*b246*b247 - 
     124*b246*b271 - 186*b246*b275 + 184*b246*b283 - 174*b246*b288 - 46*b246*
     b296 - 96*b246*b298 + 82*b246*b324 - 36*b246*b335 + 194*b246*b336 - 184*
     b246*b347 - 56*b246*b353 + 198*b246*b372 + 142*b246*b375 - 70*b246*b396 - 
     100*b246*b412 + 92*b246*b423 + 152*b246*b425 - 34*b246*b426 - 112*b246*
     b433 - 162*b246*b436 - 158*b246*b447 - 50*b246*b461 + 4*b246*b478 - 192*
     b246*b486 - 194*b246*b489 - 120*b246*b496 - 36*b247*b253 + 8*b247*b264 + 
     44*b247*b266 + 62*b247*b294 + 20*b247*b316 + 134*b247*b329 - 132*b247*b336
      - 50*b247*b346 + 96*b247*b348 - 8*b247*b352 + 48*b247*b353 + 102*b247*
     b354 + 120*b247*b357 - 90*b247*b365 + 56*b247*b372 - 198*b247*b378 + 160*
     b247*b383 - 38*b247*b434 - 44*b247*b452 + 56*b247*b453 - 76*b247*b454 - 66
     *b247*b461 - 146*b247*b463 + 106*b247*b475 + 186*b247*b486 + 200*b248*b259
      + 142*b248*b260 + 162*b248*b275 + 118*b248*b278 - 128*b248*b282 + 198*
     b248*b304 - 78*b248*b310 + 168*b248*b312 - 120*b248*b341 - 102*b248*b358
      + 64*b248*b363 - 44*b248*b381 - 146*b248*b403 + 170*b248*b404 + 60*b248*
     b405 - 10*b248*b418 + 112*b248*b433 + 128*b248*b442 - 10*b248*b457 - 184*
     b248*b458 - 48*b248*b468 - 60*b248*b475 - 4*b248*b490 - 30*b249*b251 + 178
     *b249*b253 + 150*b249*b256 - 28*b249*b273 + 12*b249*b277 + 14*b249*b280 + 
     74*b249*b309 + 168*b249*b316 - 82*b249*b317 - 48*b249*b321 + 54*b249*b322
      - 10*b249*b326 + 96*b249*b341 + 124*b249*b354 + 64*b249*b364 - 74*b249*
     b365 + 178*b249*b374 + 42*b249*b383 - 156*b249*b397 + 20*b249*b408 - 110*
     b249*b416 - 46*b249*b417 - 152*b249*b419 - 12*b249*b425 - 178*b249*b440 - 
     80*b249*b464 - 102*b249*b478 + 90*b249*b485 + 16*b249*b499 - 80*b249*b500
      - 82*b250*b252 + 116*b250*b253 + 88*b250*b256 + 110*b250*b265 + 86*b250*
     b335 - 96*b250*b346 - 36*b250*b349 - 12*b250*b351 + 114*b250*b382 - 192*
     b250*b427 + 92*b250*b456 - 64*b250*b461 - 102*b250*b471 - 122*b250*b478 - 
     136*b250*b487 + 106*b250*b499 + 46*b251*b254 - 182*b251*b256 - 76*b251*
     b267 - 156*b251*b272 - 166*b251*b279 + 10*b251*b280 + 130*b251*b289 - 110*
     b251*b291 + 124*b251*b302 - 110*b251*b337 - 50*b251*b342 - 34*b251*b377 + 
     88*b251*b385 - 18*b251*b409 + 54*b251*b426 - 56*b251*b451 - 154*b251*b452
      - 100*b251*b475 + 18*b251*b482 - 68*b251*b485 + 2*b252*b257 - 84*b252*
     b267 - 174*b252*b285 - 136*b252*b293 + 8*b252*b303 - 74*b252*b322 + 58*
     b252*b328 + 170*b252*b340 + 26*b252*b341 + 134*b252*b344 - 80*b252*b350 - 
     136*b252*b378 + 10*b252*b398 + 12*b252*b407 + 136*b252*b411 - 186*b252*
     b412 - 192*b252*b422 - 166*b252*b439 + 20*b252*b442 - 70*b252*b450 - 36*
     b252*b458 + 176*b252*b498 - 122*b252*b499 + 4*b253*b262 + 30*b253*b265 + 
     62*b253*b275 + 94*b253*b281 + 16*b253*b286 + 102*b253*b290 + 70*b253*b319
      - 8*b253*b344 + 188*b253*b370 + 8*b253*b372 - 156*b253*b383 + 4*b253*b384
      + 178*b253*b386 + 146*b253*b410 - 102*b253*b412 + 144*b253*b420 - 124*
     b253*b429 - 108*b253*b436 - 100*b253*b443 + 84*b253*b485 - 2*b253*b486 + 
     102*b253*b493 - 98*b253*b496 - 62*b253*b500 - 26*b253*b501 + 106*b254*b268
      - 62*b254*b281 - 166*b254*b324 + 52*b254*b331 + 142*b254*b344 - 30*b254*
     b345 - 176*b254*b353 + 70*b254*b373 + 36*b254*b385 - 108*b254*b386 + 104*
     b254*b391 - 128*b254*b394 + 56*b254*b406 + 94*b254*b411 - 24*b254*b415 + 
     24*b254*b426 + 36*b254*b434 + 36*b254*b437 + 134*b254*b440 + 94*b254*b446
      - 148*b254*b479 - 82*b254*b483 + 164*b255*b265 + 66*b255*b273 - 124*b255*
     b285 + 128*b255*b297 - 170*b255*b317 + 156*b255*b325 - 172*b255*b326 + 126
     *b255*b331 - 114*b255*b355 - 132*b255*b359 - 122*b255*b364 - 134*b255*b366
      - 48*b255*b371 + 114*b255*b378 - 54*b255*b424 + 34*b255*b432 + 126*b255*
     b438 + 110*b255*b443 - 128*b255*b471 - 48*b255*b487 - 64*b255*b492 - 92*
     b255*b493 + 8*b255*b498 + 42*b255*b499 - 54*b255*b500 + 130*b256*b265 + 
     178*b256*b274 - 98*b256*b284 - 70*b256*b299 - 102*b256*b316 + 140*b256*
     b323 - 98*b256*b336 + 56*b256*b343 - 18*b256*b345 - 44*b256*b350 - 40*b256
     *b353 - 100*b256*b363 - 46*b256*b377 - 178*b256*b392 + 56*b256*b404 - 106*
     b256*b413 + 144*b256*b418 - 196*b256*b426 - 92*b256*b435 + 108*b256*b436
      - 152*b256*b449 - 170*b256*b458 - 192*b256*b463 + 88*b256*b468 + 64*b256*
     b482 + 184*b256*b499 + 200*b256*b500 + 46*b257*b271 + 158*b257*b278 + 4*
     b257*b282 + 64*b257*b289 + 52*b257*b300 + 100*b257*b301 - 144*b257*b318 + 
     122*b257*b320 - 114*b257*b324 - 54*b257*b328 + 140*b257*b342 + 188*b257*
     b351 - 142*b257*b356 + 130*b257*b357 + 92*b257*b365 + 198*b257*b372 + 152*
     b257*b385 - 164*b257*b387 + 136*b257*b402 + 132*b257*b409 + 164*b257*b418
      + 20*b257*b421 - 38*b257*b445 + 178*b257*b447 + 84*b257*b455 - 178*b257*
     b473 + 94*b257*b474 - 110*b257*b490 + 178*b257*b493 - 156*b258*b259 + 186*
     b258*b260 + 140*b258*b263 + 134*b258*b268 + 36*b258*b269 - 160*b258*b272
      - 102*b258*b277 - 152*b258*b279 + 114*b258*b324 - 12*b258*b341 + 8*b258*
     b353 - 14*b258*b358 + 156*b258*b429 - 92*b258*b435 - 12*b258*b454 - 96*
     b258*b466 + 196*b258*b491 + 100*b258*b500 - 42*b259*b260 + 8*b259*b269 + 
     36*b259*b273 - 172*b259*b281 + 20*b259*b297 - 128*b259*b298 - 66*b259*b299
      + 58*b259*b300 - 82*b259*b303 - 188*b259*b309 - 44*b259*b324 - 106*b259*
     b339 + 8*b259*b344 - 92*b259*b346 + 76*b259*b349 - 36*b259*b354 + 114*b259
     *b362 + 2*b259*b366 + 120*b259*b369 - 46*b259*b371 - 50*b259*b375 - 126*
     b259*b378 - 38*b259*b392 - 164*b259*b404 - 138*b259*b406 - 138*b259*b408
      - 38*b259*b428 + 92*b259*b429 - 120*b259*b439 + 134*b259*b448 - 172*b259*
     b449 - 168*b259*b454 + 114*b259*b459 + 198*b259*b469 + 36*b259*b482 + 144*
     b260*b284 - 168*b260*b287 + 38*b260*b294 + 132*b260*b300 + 70*b260*b311 - 
     196*b260*b321 + 32*b260*b333 + 108*b260*b345 + 10*b260*b384 - 76*b260*b390
      + 84*b260*b392 - 102*b260*b397 + 76*b260*b401 + 196*b260*b421 + 110*b260*
     b435 - 134*b260*b441 + 170*b260*b448 + 54*b260*b499 - 116*b261*b267 + 190*
     b261*b293 - 56*b261*b302 + 184*b261*b337 + 146*b261*b340 - 160*b261*b347
      + 104*b261*b348 + 164*b261*b354 - 30*b261*b357 - 30*b261*b360 - 126*b261*
     b369 + 4*b261*b371 - 156*b261*b383 - 42*b261*b384 + 50*b261*b386 + 140*
     b261*b388 - 38*b261*b409 + 56*b261*b421 + 108*b261*b438 + 46*b261*b440 - 
     18*b261*b448 + 174*b261*b457 - 106*b261*b467 + 34*b262*b264 + 88*b262*b265
      + 22*b262*b271 - 188*b262*b272 + 124*b262*b288 - 52*b262*b294 - 180*b262*
     b306 - 148*b262*b309 - 62*b262*b313 - 136*b262*b317 - 78*b262*b324 - 80*
     b262*b329 + 130*b262*b330 - 108*b262*b336 - 114*b262*b338 + 142*b262*b356
      + 16*b262*b366 + 42*b262*b386 + 20*b262*b388 + 6*b262*b393 + 130*b262*
     b394 - 140*b262*b397 - 156*b262*b410 - 136*b262*b445 + 148*b262*b453 + 150
     *b262*b466 + 190*b262*b470 + 94*b262*b473 - 150*b262*b484 + 182*b262*b497
      + 90*b263*b265 + 32*b263*b274 - 156*b263*b279 - 114*b263*b285 + 4*b263*
     b290 + 174*b263*b296 + 16*b263*b313 + 184*b263*b320 + 94*b263*b357 - 126*
     b263*b359 + 174*b263*b360 + 12*b263*b367 - 8*b263*b368 + 70*b263*b372 - 
     156*b263*b373 - 166*b263*b378 - 90*b263*b380 + 150*b263*b393 - 12*b263*
     b403 - 52*b263*b415 + 98*b263*b442 - 168*b263*b443 + 166*b263*b453 + 88*
     b263*b454 + 148*b263*b462 + 68*b263*b474 + 68*b263*b476 + 36*b263*b500 - 
     82*b264*b265 - 134*b264*b274 + 190*b264*b277 + 50*b264*b280 + 78*b264*b282
      - 78*b264*b288 - 2*b264*b303 + 90*b264*b311 - 40*b264*b344 + 58*b264*b347
      - 140*b264*b349 + 106*b264*b357 + 114*b264*b365 - 196*b264*b367 - 88*b264
     *b376 - 68*b264*b385 - 192*b264*b388 + 192*b264*b401 + 200*b264*b408 - 56*
     b264*b416 - 42*b264*b421 - 38*b264*b440 - 46*b264*b449 - 60*b264*b452 + 
     112*b264*b462 + 140*b265*b268 + 94*b265*b284 - 38*b265*b295 - 132*b265*
     b303 - 120*b265*b309 - 76*b265*b326 + 10*b265*b328 + 148*b265*b334 - 142*
     b265*b343 - 170*b265*b384 + 168*b265*b400 - 16*b265*b403 - 138*b265*b407
      - 198*b265*b411 - 90*b265*b426 - 74*b265*b429 + 110*b265*b444 - 12*b265*
     b458 + 82*b265*b483 + 142*b265*b490 + 6*b265*b500 - 8*b266*b267 + 104*b266
     *b289 - 120*b266*b294 + 102*b266*b296 + 8*b266*b307 + 28*b266*b328 - 156*
     b266*b331 - 194*b266*b358 + 146*b266*b371 + 56*b266*b382 - 114*b266*b425
      - 120*b266*b427 - 24*b266*b433 + 140*b266*b446 - 80*b266*b464 - 8*b266*
     b467 + 172*b266*b468 + 4*b266*b477 - 6*b266*b493 - 84*b267*b276 + 4*b267*
     b277 - 194*b267*b280 + 98*b267*b293 - 136*b267*b296 + 16*b267*b299 - 6*
     b267*b300 + 150*b267*b301 + 160*b267*b306 - 104*b267*b311 + 166*b267*b333
      + 188*b267*b340 - 40*b267*b342 + 18*b267*b347 - 106*b267*b396 + 88*b267*
     b399 - 136*b267*b409 + 60*b267*b417 + 114*b267*b437 + 40*b267*b455 - 12*
     b267*b460 + 160*b267*b468 + 100*b267*b473 + 138*b267*b486 - 46*b267*b497
      + 98*b268*b271 - 72*b268*b278 - 42*b268*b280 - 180*b268*b283 + 160*b268*
     b303 - 104*b268*b309 - 88*b268*b324 + 78*b268*b333 - 110*b268*b339 - 132*
     b268*b349 + 16*b268*b350 + 76*b268*b352 + 156*b268*b381 + 198*b268*b397 + 
     90*b268*b398 + 158*b268*b400 - 16*b268*b427 - 166*b268*b470 + 90*b268*b486
      - 158*b268*b488 - 194*b268*b498 - 56*b268*b501 - 102*b269*b280 - 192*b269
     *b291 - 152*b269*b308 + 80*b269*b317 + 48*b269*b333 + 38*b269*b340 - 98*
     b269*b344 + 152*b269*b351 - 74*b269*b354 + 18*b269*b359 - 52*b269*b361 - 
     98*b269*b375 - 62*b269*b381 + 96*b269*b387 + 162*b269*b401 - 182*b269*b426
      - 62*b269*b448 + 78*b269*b449 - 164*b269*b468 + 96*b269*b471 + 196*b269*
     b485 + 60*b269*b495 - 130*b269*b496 - 140*b270*b277 + 150*b270*b289 - 62*
     b270*b291 - 112*b270*b292 - 110*b270*b313 - 12*b270*b341 - 136*b270*b347
      + 52*b270*b355 + 124*b270*b388 - 92*b270*b406 + 94*b270*b413 - 34*b270*
     b419 + 16*b270*b420 - 90*b270*b428 + 130*b270*b431 + 170*b270*b436 - 42*
     b270*b455 - 10*b270*b471 + 32*b270*b476 + 162*b270*b479 + 112*b270*b500 + 
     72*b271*b276 - 116*b271*b291 - 72*b271*b293 - 182*b271*b309 - 58*b271*b317
      - 118*b271*b323 - 18*b271*b336 - 24*b271*b349 + 156*b271*b360 + 72*b271*
     b362 + 180*b271*b381 + 26*b271*b386 - 74*b271*b392 - 30*b271*b396 + 68*
     b271*b411 - 198*b271*b420 + 74*b271*b444 + 32*b271*b446 - 112*b271*b448 + 
     150*b271*b459 + 190*b271*b460 - 176*b271*b462 - 158*b271*b465 - 104*b271*
     b470 - 14*b271*b478 - 184*b271*b479 + 94*b272*b285 - 128*b272*b296 + 86*
     b272*b302 - 48*b272*b307 - 68*b272*b308 - 182*b272*b321 + 72*b272*b334 - 
     46*b272*b352 - 134*b272*b357 - 12*b272*b358 - 14*b272*b364 - 154*b272*b369
      + 168*b272*b378 + 102*b272*b393 + 164*b272*b414 - 22*b272*b420 + 174*b272
     *b433 - 22*b272*b435 - 60*b272*b443 - 2*b272*b460 - 64*b272*b469 + 138*
     b272*b485 + 64*b272*b495 + 88*b273*b287 + 66*b273*b291 + 186*b273*b301 - 
     124*b273*b310 - 192*b273*b327 - 162*b273*b328 + 30*b273*b342 + 6*b273*b371
      + 154*b273*b390 - 44*b273*b400 - 2*b273*b411 + 2*b273*b428 + 130*b273*
     b430 + 136*b273*b439 - 186*b273*b442 + 148*b273*b448 + 30*b273*b453 - 108*
     b273*b478 - 118*b273*b480 + 168*b273*b486 - 158*b273*b493 - 134*b274*b277
      - 132*b274*b281 - 172*b274*b286 + 72*b274*b288 - 40*b274*b295 + 88*b274*
     b304 - 150*b274*b330 - 118*b274*b337 + 176*b274*b375 - 102*b274*b384 + 68*
     b274*b386 + 98*b274*b390 + 8*b274*b392 + 6*b274*b406 + 14*b274*b407 - 30*
     b274*b418 - 80*b274*b432 + 96*b274*b436 - 58*b274*b445 - 192*b274*b452 - 8
     *b274*b457 + 46*b274*b485 - 38*b274*b490 + 82*b275*b285 + 66*b275*b291 + 
     188*b275*b298 + 134*b275*b312 + 18*b275*b317 + 18*b275*b349 - 38*b275*b357
      + 140*b275*b373 + 156*b275*b386 - 90*b275*b400 - 134*b275*b412 + 62*b275*
     b422 + 158*b275*b446 - 166*b275*b458 + 108*b275*b461 - 56*b275*b462 + 106*
     b275*b464 - 4*b275*b478 - 144*b275*b481 - 150*b275*b492 - 18*b276*b281 + 
     50*b276*b298 + 162*b276*b315 + 138*b276*b328 - 148*b276*b338 - 46*b276*
     b347 + 198*b276*b353 + 152*b276*b370 + 132*b276*b375 + 92*b276*b378 + 140*
     b276*b392 + 146*b276*b393 - 52*b276*b400 + 16*b276*b408 - 168*b276*b417 - 
     72*b276*b441 - 32*b276*b457 - 178*b276*b496 - 132*b277*b278 + 6*b277*b290
      - 50*b277*b296 + 54*b277*b358 + 158*b277*b365 + 150*b277*b377 - 180*b277*
     b382 + 200*b277*b393 - 84*b277*b398 - 162*b277*b399 - 66*b277*b446 + 2*
     b277*b457 - 118*b277*b460 + 58*b277*b476 - 8*b277*b487 - 76*b277*b496 + 88
     *b278*b281 + 46*b278*b284 - 24*b278*b308 + 76*b278*b318 + 20*b278*b331 - 
     32*b278*b333 - 78*b278*b345 - 100*b278*b367 + 154*b278*b380 + 46*b278*b381
      - 60*b278*b393 + 80*b278*b421 - 44*b278*b444 + 126*b278*b449 - 128*b278*
     b456 - 42*b278*b468 + 110*b278*b476 + 16*b279*b281 + 134*b279*b285 + 112*
     b279*b288 - 118*b279*b290 + 156*b279*b309 + 162*b279*b310 + 194*b279*b329
      + 190*b279*b333 + 42*b279*b342 + 156*b279*b349 + 154*b279*b360 + 154*b279
     *b366 - 160*b279*b367 - 80*b279*b396 - 130*b279*b398 + 140*b279*b402 - 172
     *b279*b403 + 124*b279*b414 + 170*b279*b415 - 122*b279*b430 - 122*b279*b444
      - 98*b279*b461 - 186*b279*b467 - 70*b279*b477 - 192*b279*b487 + 118*b280*
     b285 + 88*b280*b291 + 12*b280*b296 + 150*b280*b312 - 134*b280*b314 - 78*
     b280*b323 + 196*b280*b350 + 30*b280*b353 + 166*b280*b356 + 120*b280*b373
      - 170*b280*b376 + 36*b280*b384 - 162*b280*b385 - 30*b280*b392 + 46*b280*
     b407 + 52*b280*b412 - 124*b280*b442 - 30*b280*b450 - 58*b280*b459 + 22*
     b280*b483 + 8*b280*b487 - 80*b280*b489 - 178*b281*b285 + 192*b281*b299 + 
     90*b281*b319 - 190*b281*b328 - 180*b281*b343 + 124*b281*b347 - 148*b281*
     b356 + 46*b281*b372 - 146*b281*b381 + 136*b281*b390 - 72*b281*b393 + 16*
     b281*b402 - 148*b281*b434 - 26*b281*b464 - 12*b281*b481 - 188*b282*b283 - 
     72*b282*b338 + 154*b282*b339 - 8*b282*b358 + 36*b282*b378 + 36*b282*b383
      + 110*b282*b393 + 42*b282*b412 + 98*b282*b414 + 70*b282*b416 - 192*b282*
     b425 - 98*b282*b445 + 120*b282*b446 - 76*b283*b292 - 40*b283*b294 + 170*
     b283*b301 + 50*b283*b303 + 72*b283*b304 - 12*b283*b314 + 50*b283*b318 - 34
     *b283*b333 - 78*b283*b362 - 158*b283*b368 + 98*b283*b378 - 192*b283*b401
      - 82*b283*b406 + 32*b283*b418 - 150*b283*b421 + 58*b283*b432 + 104*b283*
     b450 + 134*b283*b451 + 188*b283*b454 + 122*b283*b464 + 144*b283*b465 - 174
     *b283*b484 + 194*b284*b301 - 182*b284*b317 + 80*b284*b326 - 50*b284*b335
      - 194*b284*b343 - 58*b284*b348 + 182*b284*b358 - 78*b284*b362 + 184*b284*
     b378 + 44*b284*b395 - 40*b284*b398 + 52*b284*b418 - 24*b284*b431 + 72*b284
     *b437 - 168*b284*b442 - 102*b284*b485 + 2*b284*b491 + 22*b284*b499 - 76*
     b285*b304 - 126*b285*b306 - 186*b285*b316 - 166*b285*b323 - 156*b285*b327
      - 110*b285*b328 - 36*b285*b338 + 162*b285*b343 - 104*b285*b366 + 14*b285*
     b371 - 8*b285*b372 + 80*b285*b374 - 8*b285*b394 - 42*b285*b398 + 166*b285*
     b409 + 132*b285*b436 - 172*b285*b451 + 126*b285*b462 + 154*b285*b468 - 152
     *b285*b472 - 140*b285*b473 - 108*b285*b489 - 186*b285*b491 - 28*b285*b492
      - 96*b285*b494 - 48*b286*b295 + 20*b286*b305 - 22*b286*b310 - 170*b286*
     b316 - 82*b286*b365 + 38*b286*b375 + 64*b286*b378 + 148*b286*b405 - 70*
     b286*b409 - 120*b286*b422 - 20*b286*b424 + 16*b286*b450 + 130*b286*b452 - 
     156*b286*b465 + 116*b286*b474 - 42*b286*b484 + 60*b286*b489 + 146*b287*
     b290 + 40*b287*b292 + 22*b287*b294 + 166*b287*b308 + 46*b287*b320 + 64*
     b287*b322 - 106*b287*b329 + 90*b287*b332 - 132*b287*b354 + 96*b287*b355 - 
     106*b287*b356 + 136*b287*b371 + 86*b287*b384 + 74*b287*b385 + 102*b287*
     b390 - 164*b287*b401 - 120*b287*b402 + 176*b287*b406 + 164*b287*b421 - 100
     *b287*b424 - 66*b287*b429 + 200*b287*b431 - 192*b287*b437 - 58*b287*b439
      - 178*b287*b476 + 6*b287*b500 - 84*b288*b290 - 110*b288*b301 + 176*b288*
     b321 + 56*b288*b325 + 56*b288*b328 - 48*b288*b339 - 124*b288*b342 - 188*
     b288*b354 + 190*b288*b355 + 144*b288*b377 + 200*b288*b378 + 194*b288*b381
      - 130*b288*b410 + 84*b288*b419 - 42*b288*b433 - 46*b288*b448 - 94*b288*
     b449 + 148*b288*b486 + 154*b289*b307 + 108*b289*b312 + 196*b289*b320 - 20*
     b289*b321 - 142*b289*b339 + 54*b289*b342 - 126*b289*b345 - 174*b289*b349
      - 92*b289*b377 + 148*b289*b378 - 142*b289*b379 - 16*b289*b381 + 14*b289*
     b409 + 158*b289*b416 - 66*b289*b421 - 32*b289*b444 + 2*b289*b458 + 36*b289
     *b459 + 80*b289*b465 - 76*b289*b474 + 104*b289*b485 + 168*b289*b487 + 190*
     b289*b493 + 66*b289*b498 + 98*b290*b309 + 184*b290*b314 - 110*b290*b332 - 
     10*b290*b341 + 98*b290*b348 + 48*b290*b355 + 154*b290*b361 + 116*b290*b378
      - 56*b290*b397 + 54*b290*b399 - 190*b290*b400 - 42*b290*b412 + 124*b290*
     b414 - 104*b290*b425 + 170*b290*b437 - 66*b290*b440 + 72*b290*b456 - 6*
     b290*b460 + 8*b290*b462 - 30*b290*b487 - 42*b290*b493 - 84*b290*b495 - 162
     *b290*b501 - 16*b291*b299 - 168*b291*b308 + 152*b291*b351 - 188*b291*b353
      - 132*b291*b357 + 106*b291*b360 + 132*b291*b362 + 150*b291*b363 - 76*b291
     *b366 - 134*b291*b388 + 156*b291*b398 + 16*b291*b399 - 12*b291*b400 + 146*
     b291*b413 + 14*b291*b445 - 34*b291*b447 - 146*b291*b449 + 148*b291*b452 + 
     66*b291*b465 - 76*b291*b484 - 68*b291*b485 - 168*b291*b490 - 170*b291*b501
      - 120*b292*b293 + 138*b292*b334 - 180*b292*b341 - 194*b292*b366 - 136*
     b292*b397 - 34*b292*b411 + 8*b292*b421 - 188*b292*b432 - 34*b292*b437 - 
     114*b292*b465 - 52*b292*b472 - 148*b292*b478 + 68*b292*b486 + 20*b292*b488
      - 118*b293*b296 + 94*b293*b307 - 70*b293*b343 + 90*b293*b347 + 46*b293*
     b382 + 22*b293*b398 + 82*b293*b423 + 30*b293*b424 - 134*b293*b433 - 186*
     b293*b454 - 108*b293*b455 + 92*b293*b460 + 116*b293*b470 - 174*b293*b471
      - 106*b293*b473 + 188*b294*b298 + 16*b294*b301 - 86*b294*b315 - 176*b294*
     b321 + 40*b294*b322 - 92*b294*b328 + 132*b294*b335 + 42*b294*b337 + 4*b294
     *b358 - 16*b294*b368 + 182*b294*b377 + 106*b294*b393 - 96*b294*b420 - 82*
     b294*b424 - 110*b294*b441 + 66*b294*b458 - 102*b294*b461 + 34*b294*b469 - 
     8*b294*b485 + 166*b294*b489 - 118*b294*b492 + 86*b295*b309 + 46*b295*b327
      + 24*b295*b330 + 90*b295*b358 + 148*b295*b365 - 34*b295*b376 + 34*b295*
     b398 + 30*b295*b405 + 78*b295*b411 + 146*b295*b412 + 188*b295*b413 + 74*
     b295*b415 - 38*b295*b425 - 184*b295*b431 + 106*b295*b445 + 88*b295*b448 + 
     98*b295*b457 - 88*b295*b480 + 128*b296*b304 - 96*b296*b305 - 184*b296*b315
      - 168*b296*b316 + 110*b296*b337 - 100*b296*b341 - 44*b296*b343 + 192*b296
     *b354 - 34*b296*b356 - 124*b296*b357 + 140*b296*b362 - 62*b296*b369 + 192*
     b296*b376 + 162*b296*b379 + 184*b296*b380 + 120*b296*b388 + 58*b296*b393
      - 68*b296*b397 - 24*b296*b411 - 114*b296*b416 - 164*b296*b418 - 68*b296*
     b420 - 26*b296*b432 + 86*b296*b435 + 6*b296*b440 - 128*b296*b446 - 120*
     b296*b451 + 126*b296*b460 - 92*b296*b466 - 76*b296*b486 + 18*b296*b490 - 
     10*b297*b313 + 12*b297*b334 + 142*b297*b346 + 184*b297*b349 + 62*b297*b350
      + 68*b297*b394 - 142*b297*b395 - 46*b297*b417 + 34*b297*b418 + 128*b297*
     b420 - 36*b297*b423 + 30*b297*b434 - 78*b297*b438 + 84*b297*b500 - 132*
     b298*b299 + 82*b298*b325 + 182*b298*b338 - 144*b298*b346 - 28*b298*b360 + 
     200*b298*b373 + 134*b298*b377 + 130*b298*b392 - 184*b298*b395 + 108*b298*
     b437 - 2*b298*b440 + 78*b298*b453 - 70*b298*b458 + 124*b298*b466 + 8*b298*
     b478 + 82*b298*b497 - 190*b299*b302 - 178*b299*b304 - 98*b299*b311 - 16*
     b299*b326 + 84*b299*b327 - 16*b299*b333 + 126*b299*b401 - 112*b299*b424 + 
     158*b299*b441 - 112*b299*b443 - 138*b299*b447 - 76*b299*b456 - 116*b299*
     b457 - 96*b299*b461 + 198*b299*b470 - 78*b299*b484 + 128*b300*b311 - 70*
     b300*b318 + 170*b300*b327 + 62*b300*b334 + 132*b300*b336 - 188*b300*b345
      - 164*b300*b364 - 30*b300*b411 - 72*b300*b412 - 14*b300*b416 - 196*b300*
     b417 + 72*b300*b426 - 178*b300*b435 - 108*b300*b452 + 70*b300*b453 + 38*
     b300*b464 - 28*b300*b497 - 62*b301*b310 - 110*b301*b314 + 134*b301*b359 - 
     24*b301*b360 - 68*b301*b363 - 86*b301*b368 + 130*b301*b373 + 74*b301*b375
      - 78*b301*b387 + 32*b301*b388 + 126*b301*b394 + 74*b301*b423 - 190*b301*
     b435 + 14*b301*b439 - 112*b301*b463 + 62*b301*b470 + 8*b301*b479 + 14*b301
     *b480 - 6*b301*b485 - 174*b301*b490 + 86*b301*b497 - 172*b302*b311 - 24*
     b302*b313 - 32*b302*b321 + 50*b302*b332 + 148*b302*b339 - 122*b302*b351 - 
     100*b302*b356 + 8*b302*b359 - 148*b302*b369 + 44*b302*b371 + 36*b302*b376
      - 130*b302*b379 + 98*b302*b380 + 158*b302*b382 - 86*b302*b386 - 122*b302*
     b389 - 148*b302*b394 - 168*b302*b406 - 6*b302*b411 - 90*b302*b412 + 80*
     b302*b414 + 168*b302*b417 - 94*b302*b420 + 122*b302*b453 + 54*b302*b457 - 
     122*b302*b466 - 86*b302*b471 - 50*b302*b483 - 92*b302*b493 - 116*b303*b314
      + 70*b303*b330 + 100*b303*b334 - 48*b303*b353 + 24*b303*b366 - 168*b303*
     b371 - 100*b303*b391 - 72*b303*b401 - 146*b303*b406 - 128*b303*b408 + 20*
     b303*b409 + 88*b303*b421 - 6*b303*b429 + 32*b303*b442 + 100*b303*b449 + 
     174*b303*b466 - 46*b304*b316 - 4*b304*b332 + 12*b304*b344 + 178*b304*b345
      - 30*b304*b369 + 58*b304*b380 + 140*b304*b382 - 6*b304*b385 - 104*b304*
     b419 + 50*b304*b431 - 74*b304*b434 + 38*b304*b443 - 128*b304*b469 + 4*b304
     *b495 - 188*b305*b324 + 58*b305*b333 + 48*b305*b338 + 2*b305*b349 - 6*b305
     *b356 - 4*b305*b358 - 8*b305*b383 + 112*b305*b386 + 20*b305*b387 - 100*
     b305*b392 - 190*b305*b402 + 146*b305*b407 - 100*b305*b410 + 82*b305*b426
      + 56*b305*b431 - 16*b305*b432 + 148*b305*b434 - 170*b305*b440 - 126*b305*
     b444 + 14*b305*b446 + 74*b305*b464 + 156*b305*b473 - 122*b305*b476 - 38*
     b305*b488 - 140*b306*b307 - 154*b306*b313 + 106*b306*b316 + 52*b306*b328
      - 2*b306*b337 - 116*b306*b406 - 42*b306*b417 + 94*b306*b424 + 60*b306*
     b427 - 26*b306*b431 + 182*b306*b453 + 60*b306*b475 - 176*b306*b476 + 174*
     b306*b485 - 34*b306*b487 + 180*b306*b495 - 184*b307*b319 - 136*b307*b320
      - 154*b307*b325 + 4*b307*b326 + 40*b307*b351 - 162*b307*b357 - 42*b307*
     b365 + 42*b307*b378 - 118*b307*b388 - 8*b307*b393 - 140*b307*b397 + 86*
     b307*b407 + 100*b307*b431 + 22*b307*b434 + 34*b307*b441 - 130*b307*b443 + 
     52*b307*b453 + 120*b307*b456 + 192*b307*b463 - 140*b307*b466 + 158*b307*
     b469 - 90*b307*b474 + 62*b307*b475 + 138*b307*b494 - 4*b307*b497 + 66*b308
     *b310 - 108*b308*b313 - 88*b308*b332 + 64*b308*b338 + 66*b308*b344 + 64*
     b308*b345 + 158*b308*b348 + 36*b308*b368 + 42*b308*b379 + 168*b308*b399 - 
     92*b308*b401 + 76*b308*b410 - 92*b308*b419 + 176*b308*b434 - 28*b308*b446
      + 154*b308*b457 - 128*b308*b476 + 192*b308*b485 - 182*b308*b491 + 28*b308
     *b497 + 34*b309*b347 - 76*b309*b356 + 170*b309*b386 - 132*b309*b405 - 132*
     b309*b431 + 102*b309*b435 - 178*b309*b436 + 124*b309*b441 - 150*b309*b463
      + 116*b309*b464 + 52*b309*b467 + 48*b309*b478 - 90*b310*b312 + 14*b310*
     b321 - 184*b310*b326 - 90*b310*b331 + 20*b310*b337 + 150*b310*b354 - 90*
     b310*b363 - 94*b310*b376 - 50*b310*b388 - 74*b310*b396 + 176*b310*b402 - 
     62*b310*b404 - 54*b310*b417 - 30*b310*b419 - 74*b310*b424 - 22*b310*b432
      + 94*b310*b434 + 136*b310*b436 - 110*b310*b442 - 114*b310*b456 + 22*b310*
     b463 - 192*b310*b469 - 118*b310*b476 - 54*b310*b483 - 74*b310*b500 + 182*
     b311*b319 + 160*b311*b320 + 32*b311*b331 - 50*b311*b335 + 148*b311*b336 - 
     98*b311*b364 - 192*b311*b366 + 150*b311*b368 - 146*b311*b382 + 58*b311*
     b386 - 68*b311*b402 + 140*b311*b405 + 16*b311*b423 + 184*b311*b428 + 134*
     b311*b452 + 120*b311*b467 - 118*b311*b468 + 38*b311*b473 + 106*b311*b474
      - 34*b311*b477 + 82*b311*b480 + 32*b311*b485 - 106*b311*b494 + 86*b312*
     b314 + 56*b312*b318 + 130*b312*b337 + 94*b312*b344 + 184*b312*b351 - 24*
     b312*b354 - 34*b312*b368 - 108*b312*b370 + 64*b312*b371 - 168*b312*b382 - 
     72*b312*b388 - 104*b312*b399 + 106*b312*b407 - 98*b312*b413 - 28*b312*b430
      - 130*b312*b431 + 2*b312*b433 - 136*b312*b438 - 90*b312*b439 - 176*b312*
     b449 - 82*b312*b463 + 62*b312*b489 - 126*b313*b317 - 192*b313*b319 + 186*
     b313*b321 - 2*b313*b325 + 76*b313*b347 + 56*b313*b400 + 110*b313*b414 - 36
     *b313*b432 - 14*b313*b445 - 36*b313*b457 - 22*b313*b458 - 48*b313*b465 - 
     114*b313*b489 + 200*b313*b493 - 66*b313*b500 + 28*b314*b316 + 186*b314*
     b325 + 28*b314*b327 - 114*b314*b333 - 196*b314*b335 - 104*b314*b338 + 104*
     b314*b348 - 48*b314*b357 - 120*b314*b371 + 190*b314*b374 + 126*b314*b381
      + 158*b314*b388 - 94*b314*b394 + 128*b314*b395 + 24*b314*b434 + 176*b314*
     b454 + 42*b314*b455 + 120*b314*b458 + 178*b314*b459 + 92*b314*b467 - 28*
     b314*b475 - 46*b314*b493 - 94*b315*b322 - 88*b315*b325 - 102*b315*b330 - 
     60*b315*b336 - 100*b315*b337 + 160*b315*b344 - 122*b315*b354 + 58*b315*
     b355 + 56*b315*b358 - 52*b315*b381 + 62*b315*b392 + 100*b315*b401 - 96*
     b315*b410 + 118*b315*b421 - 54*b315*b422 - 34*b315*b434 + 58*b315*b452 + 
     98*b315*b456 - 154*b315*b474 + 86*b315*b475 - 98*b315*b481 - 76*b315*b499
      + 82*b316*b322 + 80*b316*b327 - 26*b316*b339 + 60*b316*b348 + 38*b316*
     b356 + 94*b316*b357 - 182*b316*b361 - 164*b316*b362 - 124*b316*b424 + 98*
     b316*b429 + 148*b316*b435 + 14*b316*b452 - 84*b316*b466 - 132*b316*b470 - 
     152*b316*b477 + 180*b316*b483 - 56*b316*b499 - 92*b316*b501 - 44*b317*b321
      + 42*b317*b332 + 72*b317*b340 + 192*b317*b341 - 152*b317*b343 - 30*b317*
     b350 + 20*b317*b367 - 18*b317*b372 - 106*b317*b383 + 152*b317*b386 - 82*
     b317*b407 + 198*b317*b412 - 90*b317*b413 + 96*b317*b419 - 18*b317*b423 + 
     180*b317*b425 - 40*b317*b428 - 100*b317*b442 - 176*b317*b498 - 66*b318*
     b344 + 104*b318*b363 - 22*b318*b364 + 164*b318*b385 - 164*b318*b395 - 54*
     b318*b403 + 132*b318*b409 + 50*b318*b412 - 152*b318*b416 - 16*b318*b431 - 
     164*b318*b433 - 82*b318*b440 - 182*b318*b456 + 162*b318*b466 + 172*b318*
     b469 - 178*b318*b486 - 100*b318*b490 - 122*b319*b347 + 160*b319*b403 - 108
     *b319*b418 - 66*b319*b423 - 144*b319*b435 - 188*b319*b440 - 106*b319*b444
      + 150*b319*b460 - 196*b319*b474 - 26*b319*b498 - 26*b319*b499 - 194*b320*
     b333 - 100*b320*b353 + 122*b320*b360 - 58*b320*b363 + 144*b320*b364 + 98*
     b320*b370 + 2*b320*b375 - 160*b320*b397 - 142*b320*b411 - 84*b320*b431 - 
     140*b320*b444 + 156*b320*b447 - 68*b320*b459 - 110*b320*b460 - 184*b320*
     b470 - 138*b320*b478 + 88*b320*b492 - 24*b320*b496 + 174*b321*b325 - 128*
     b321*b339 - 100*b321*b348 + 56*b321*b375 - 102*b321*b380 - 166*b321*b389
      - 154*b321*b416 - 16*b321*b426 + 96*b321*b455 + 196*b321*b457 + 124*b321*
     b475 - 158*b321*b482 + 6*b321*b495 - 176*b322*b326 + 10*b322*b335 - 156*
     b322*b347 + 102*b322*b356 + 142*b322*b366 - 88*b322*b377 + 54*b322*b389 - 
     66*b322*b401 + 36*b322*b417 + 98*b322*b429 + 126*b322*b441 - 98*b322*b443
      + 114*b322*b457 + 174*b322*b468 + 78*b322*b477 + 100*b322*b491 - 108*b323
     *b325 - 102*b323*b339 + 98*b323*b340 - 102*b323*b343 - 106*b323*b370 - 8*
     b323*b377 + 176*b323*b378 - 38*b323*b381 - 72*b323*b393 - 68*b323*b397 - 
     192*b323*b399 - 78*b323*b402 - 86*b323*b416 - 188*b323*b423 + 102*b323*
     b445 - 18*b323*b471 + 46*b323*b487 + 86*b323*b499 + 186*b324*b325 + 158*
     b324*b330 + 70*b324*b331 + 190*b324*b340 + 8*b324*b381 + 34*b324*b392 + 
     156*b324*b414 + 84*b324*b432 - 34*b324*b436 - 112*b324*b442 + 170*b324*
     b448 + 68*b324*b449 + 104*b324*b462 + 82*b324*b468 + 98*b324*b473 - 172*
     b324*b477 + 144*b324*b481 + 32*b324*b491 + 8*b324*b499 + 194*b325*b327 + 
     168*b325*b328 + 14*b325*b342 - 144*b325*b344 - 158*b325*b352 - 34*b325*
     b359 - 62*b325*b372 + 104*b325*b380 + 174*b325*b389 - 80*b325*b399 - 16*
     b325*b400 - 128*b325*b405 + 166*b325*b408 + 18*b325*b409 + 2*b325*b416 + 
     52*b325*b421 + 172*b325*b439 + 42*b325*b448 - 14*b325*b450 + 142*b325*b458
      - 194*b325*b469 - 24*b325*b470 - 74*b325*b478 + 10*b325*b487 - 68*b326*
     b353 - 140*b326*b359 - 134*b326*b364 - 80*b326*b381 + 180*b326*b388 + 90*
     b326*b392 - 176*b326*b406 - 184*b326*b408 - 78*b326*b412 - 84*b326*b415 + 
     170*b326*b418 + 54*b326*b424 + 136*b326*b433 + 40*b326*b447 - 170*b326*
     b468 - 94*b326*b483 + 130*b326*b484 + 156*b326*b490 + 132*b326*b496 + 158*
     b326*b499 + 22*b327*b332 + 192*b327*b354 + 182*b327*b358 - 106*b327*b381
      + 18*b327*b393 + 172*b327*b413 - 50*b327*b417 - 50*b327*b427 - 82*b327*
     b434 - 180*b327*b445 + 92*b327*b446 + 128*b327*b458 + 140*b327*b462 + 162*
     b327*b471 - 144*b327*b476 + 4*b327*b477 - 40*b327*b478 - 198*b327*b488 - 
     160*b327*b489 + 30*b327*b494 - 92*b328*b329 - 144*b328*b330 + 166*b328*
     b334 - 110*b328*b374 - 10*b328*b379 - 116*b328*b383 - 66*b328*b388 - 88*
     b328*b398 + 48*b328*b401 + 112*b328*b410 + 86*b328*b426 - 72*b328*b430 + 
     88*b328*b458 - 58*b328*b459 - 152*b328*b460 - 152*b328*b479 + 98*b328*b482
      - 66*b328*b496 + 198*b328*b498 - 20*b329*b338 + 182*b329*b342 + 108*b329*
     b371 - 190*b329*b372 + 102*b329*b393 - 156*b329*b399 + 100*b329*b405 - 50*
     b329*b409 - 48*b329*b422 - 106*b329*b466 - 114*b329*b488 - 2*b329*b495 + 
     130*b330*b343 - 16*b330*b345 - 158*b330*b346 - 48*b330*b355 - 136*b330*
     b380 - 180*b330*b381 + 106*b330*b450 + 166*b330*b455 - 42*b330*b462 + 106*
     b330*b463 + 82*b330*b475 - 18*b330*b479 - 62*b331*b333 + 116*b331*b337 + 
     128*b331*b339 - 162*b331*b342 - 26*b331*b359 - 160*b331*b408 - 26*b331*
     b421 - 120*b331*b443 + 88*b331*b445 - 72*b331*b457 + 94*b331*b475 + 54*
     b331*b476 + 12*b331*b479 - 114*b331*b485 - 58*b331*b491 - 168*b331*b494 - 
     36*b332*b357 + 56*b332*b359 - 82*b332*b363 - 62*b332*b366 - 10*b332*b370
      + 168*b332*b375 - 162*b332*b380 - 116*b332*b386 - 168*b332*b401 - 52*b332
     *b406 - 30*b332*b409 + 138*b332*b416 - 150*b332*b425 + 18*b332*b452 - 82*
     b332*b455 + 50*b332*b459 + 8*b332*b462 - 194*b332*b479 - 40*b332*b493 + 50
     *b332*b494 + 132*b332*b498 - 114*b333*b351 - 164*b333*b374 + 124*b333*b402
      - 14*b333*b410 + 84*b333*b413 - 82*b333*b419 - 56*b333*b423 + 68*b333*
     b437 - 150*b333*b441 + 18*b333*b476 + 10*b333*b480 - 44*b334*b341 - 26*
     b334*b344 + 138*b334*b350 + 152*b334*b386 - 144*b334*b398 - 60*b334*b407
      + 124*b334*b414 + 18*b334*b431 + 122*b334*b434 - 18*b334*b438 - 138*b334*
     b444 - 166*b334*b447 + 62*b334*b451 + 24*b334*b457 - 98*b334*b460 + 140*
     b334*b465 - 126*b334*b489 - 78*b334*b493 + 120*b335*b356 + 182*b335*b360
      - 184*b335*b361 - 178*b335*b363 - 82*b335*b379 + 70*b335*b403 - 120*b335*
     b412 + 198*b335*b415 + 30*b335*b418 + 84*b335*b466 + 168*b335*b469 - 124*
     b335*b471 - 106*b335*b480 - 38*b335*b485 - 78*b336*b347 - 72*b336*b349 - 
     42*b336*b366 - 58*b336*b369 + 196*b336*b376 - 24*b336*b382 - 142*b336*b393
      + 40*b336*b396 - 80*b336*b399 - 72*b336*b409 + 56*b336*b431 - 198*b336*
     b434 - 130*b336*b454 - 112*b336*b455 + 184*b336*b466 - 178*b336*b469 - 70*
     b336*b472 - 124*b336*b484 - 64*b336*b492 + 48*b337*b355 + 60*b337*b358 - 
     192*b337*b382 + 108*b337*b388 + 4*b337*b401 - 184*b337*b406 + 186*b337*
     b408 - 168*b337*b411 + 80*b337*b419 - 80*b337*b427 + 118*b337*b435 - 182*
     b337*b470 + 198*b337*b475 + 130*b337*b491 - 64*b337*b497 + 74*b337*b499 + 
     16*b338*b360 + 166*b338*b364 - 152*b338*b368 - 94*b338*b372 + 80*b338*b393
      + 28*b338*b410 + 104*b338*b424 - 62*b338*b436 - 12*b338*b446 + 40*b338*
     b461 + 26*b338*b470 - 68*b338*b471 - 140*b338*b482 - 12*b338*b486 - 174*
     b338*b494 - 120*b338*b495 - 124*b339*b342 - 194*b339*b350 + 6*b339*b362 - 
     104*b339*b367 - 14*b339*b373 + 174*b339*b379 - 166*b339*b384 + 14*b339*
     b397 + 48*b339*b411 + 62*b339*b415 + 146*b339*b416 - 22*b339*b435 + 78*
     b339*b446 - 12*b339*b488 - 16*b339*b495 + 98*b340*b359 - 198*b340*b373 + 
     80*b340*b380 + 66*b340*b389 + 76*b340*b391 + 4*b340*b398 - 38*b340*b400 + 
     58*b340*b401 - 118*b340*b410 - 124*b340*b420 + 130*b340*b422 + 104*b340*
     b428 + 100*b340*b436 - 178*b340*b442 - 122*b340*b447 + 28*b340*b450 - 176*
     b340*b456 + 52*b340*b466 + 160*b340*b474 + 162*b340*b482 + 180*b341*b357
      + 146*b341*b360 - 166*b341*b361 + 148*b341*b394 - 2*b341*b408 - 96*b341*
     b425 + 16*b341*b431 + 66*b341*b446 + 106*b341*b469 + 192*b341*b471 - 20*
     b341*b473 + 164*b341*b500 + 136*b342*b344 - 194*b342*b348 + 80*b342*b362
      - 198*b342*b365 - 26*b342*b368 - 130*b342*b377 - 166*b342*b378 + 196*b342
     *b396 + 82*b342*b408 + 24*b342*b412 + 70*b342*b419 - 180*b342*b432 - 156*
     b342*b435 + 62*b342*b443 + 26*b342*b446 + 178*b342*b450 + 72*b342*b455 + 
     112*b342*b479 + 162*b342*b495 - 136*b342*b496 + 28*b342*b498 + 70*b343*
     b354 + 64*b343*b357 - 174*b343*b368 + 96*b343*b386 + 48*b343*b389 + 194*
     b343*b400 + 74*b343*b423 - 36*b343*b426 + 26*b343*b428 + 168*b343*b441 + 
     36*b343*b446 - 140*b343*b453 + 58*b343*b458 + 184*b343*b487 + 128*b343*
     b488 - 194*b343*b491 - 134*b343*b497 - 16*b343*b500 + 142*b344*b350 + 4*
     b344*b360 + 24*b344*b373 - 182*b344*b379 - 134*b344*b380 + 80*b344*b382 + 
     110*b344*b384 - 28*b344*b399 - 174*b344*b401 + 158*b344*b404 - 6*b344*b420
      + 24*b344*b424 + 168*b344*b428 + 54*b344*b436 - 92*b344*b437 - 118*b344*
     b439 - 134*b344*b450 + 162*b344*b458 + 162*b344*b480 - 76*b344*b484 - 138*
     b344*b490 + 58*b345*b360 - 196*b345*b368 + 56*b345*b374 + 140*b345*b402 - 
     132*b345*b410 + 22*b345*b438 - 2*b345*b478 + 12*b345*b482 + 110*b345*b496
      - 20*b346*b351 + 40*b346*b360 - 12*b346*b367 + 122*b346*b373 + 136*b346*
     b402 - 144*b346*b410 - 24*b346*b412 + 158*b346*b414 - 72*b346*b432 + 190*
     b346*b450 + 190*b346*b462 + 16*b346*b472 - 96*b346*b477 + 70*b346*b486 - 
     128*b346*b501 - 110*b347*b348 + 28*b347*b353 - 170*b347*b369 - 24*b347*
     b386 + 110*b347*b395 + 92*b347*b400 - 156*b347*b410 + 92*b347*b412 + 52*
     b347*b416 - 160*b347*b444 + 6*b347*b446 - 50*b347*b448 + 176*b347*b449 - 
     160*b347*b450 - 68*b347*b471 - 72*b347*b474 + 74*b347*b475 + 160*b347*b479
      - 100*b347*b487 - 124*b348*b349 - 2*b348*b370 - 58*b348*b383 - 36*b348*
     b406 - 62*b348*b412 + 112*b348*b422 - 136*b348*b469 - 26*b348*b478 + 30*
     b348*b480 + 178*b348*b493 - 186*b348*b501 - 46*b349*b355 - 126*b349*b394
      + 30*b349*b438 - 100*b349*b444 - 154*b349*b451 - 8*b349*b473 + 106*b349*
     b475 + 140*b349*b483 + 2*b349*b489 + 134*b350*b352 + 196*b350*b353 - 16*
     b350*b354 - 124*b350*b362 + 132*b350*b363 - 90*b350*b366 - 148*b350*b367
      + 134*b350*b368 - 108*b350*b369 + 154*b350*b371 - 168*b350*b372 + 18*b350
     *b373 + 132*b350*b391 - 42*b350*b402 - 102*b350*b404 - 36*b350*b406 - 60*
     b350*b418 - 30*b350*b427 - 4*b350*b429 - 68*b350*b433 - 150*b350*b453 + 
     182*b350*b486 + 162*b351*b376 + 44*b351*b416 - 182*b351*b419 - 44*b351*
     b421 + 166*b351*b422 + 72*b351*b434 + 124*b351*b439 + 192*b351*b449 + 176*
     b351*b472 + 188*b351*b476 - 28*b351*b479 + 70*b351*b485 + 156*b351*b496 + 
     142*b351*b497 - 164*b352*b355 - 36*b352*b365 + 14*b352*b371 - 12*b352*b389
      + 150*b352*b422 + 192*b352*b437 - 10*b352*b459 + 38*b352*b479 - 18*b352*
     b489 - 100*b352*b494 + 46*b352*b495 - 34*b352*b497 + 162*b352*b498 + 172*
     b353*b367 + 32*b353*b370 - 26*b353*b383 - 120*b353*b400 + 190*b353*b402 - 
     46*b353*b403 + 148*b353*b432 + 184*b353*b438 + 38*b353*b451 + 188*b353*
     b472 - 196*b353*b496 - 12*b353*b497 - 140*b354*b356 - 54*b354*b358 + 38*
     b354*b399 + 78*b354*b405 - 10*b354*b407 - 144*b354*b408 + 144*b354*b413 + 
     186*b354*b435 + 116*b354*b446 + 68*b354*b450 + 172*b354*b456 - 40*b354*
     b467 - 10*b354*b468 - 186*b354*b469 - 118*b354*b473 + 28*b354*b479 - 2*
     b355*b359 - 112*b355*b363 + 94*b355*b364 - 152*b355*b366 - 54*b355*b371 + 
     168*b355*b382 + 36*b355*b397 - 68*b355*b405 - 156*b355*b413 - 52*b355*b414
      + 180*b355*b424 - 144*b355*b426 + 120*b355*b442 - 128*b355*b446 + 10*b355
     *b471 + 78*b355*b487 + 26*b355*b500 - 94*b356*b373 + 50*b356*b376 - 146*
     b356*b381 - 180*b356*b392 + 8*b356*b394 + 58*b356*b397 - 76*b356*b399 + 66
     *b356*b415 + 150*b356*b435 + 136*b356*b438 + 16*b356*b446 + 132*b356*b463
      + 158*b356*b464 + 42*b356*b467 - 42*b356*b494 + 192*b356*b501 + 178*b357*
     b368 + 10*b357*b385 - 106*b357*b407 - 118*b357*b419 + 64*b357*b424 + 92*
     b357*b432 - 100*b357*b444 + 122*b357*b447 + 126*b357*b457 + 124*b357*b459
      - 116*b357*b470 + 50*b357*b471 - 66*b357*b482 - 196*b357*b486 - 152*b358*
     b367 + 104*b358*b372 - 104*b358*b415 - 86*b358*b416 - 82*b358*b420 + 112*
     b358*b422 - 62*b358*b462 - 116*b358*b487 + 180*b358*b495 - 80*b359*b367 - 
     46*b359*b369 - 192*b359*b384 + 144*b359*b398 + 44*b359*b438 - 104*b359*
     b444 + 54*b359*b447 + 78*b359*b454 + 64*b359*b461 - 90*b359*b465 - 118*
     b359*b489 + 44*b359*b492 - 106*b359*b497 - 58*b360*b362 + 102*b360*b404 + 
     148*b360*b407 + 74*b360*b414 + 132*b360*b417 - 36*b360*b444 - 66*b360*b456
      - 52*b360*b458 - 58*b360*b461 + 184*b360*b462 - 120*b360*b481 + 126*b360*
     b486 - 44*b360*b499 + 192*b360*b500 - 92*b361*b369 - 172*b361*b384 - 162*
     b361*b387 + 146*b361*b389 + 58*b361*b396 - 46*b361*b402 - 186*b361*b420 + 
     14*b361*b429 - 104*b361*b433 - 186*b361*b439 - 34*b361*b446 + 12*b361*b448
      - 180*b361*b457 - 44*b361*b461 - 124*b361*b489 - 38*b361*b492 - 40*b361*
     b497 + 54*b361*b499 - 128*b362*b366 + 36*b362*b375 - 46*b362*b385 + 76*
     b362*b388 - 2*b362*b391 + 80*b362*b410 - 154*b362*b436 - 82*b362*b446 + 84
     *b362*b450 + 148*b362*b460 - 42*b362*b472 - 96*b362*b484 - 4*b362*b486 - 
     118*b362*b488 - 86*b362*b491 + 156*b362*b496 - 118*b362*b498 + 168*b363*
     b367 + 122*b363*b376 - 156*b363*b377 - 124*b363*b386 - 144*b363*b396 - 34*
     b363*b397 + 86*b363*b424 - 112*b363*b433 - 172*b363*b441 - 122*b363*b457
      - 32*b363*b464 - 138*b363*b486 - 194*b363*b492 + 14*b364*b408 + 118*b364*
     b432 - 40*b364*b436 + 184*b364*b444 + 48*b364*b460 + 130*b364*b473 + 20*
     b364*b475 + 30*b364*b481 - 130*b364*b485 - 62*b364*b496 + 50*b365*b370 + 
     146*b365*b407 - 48*b365*b409 + 58*b365*b415 - 50*b365*b447 + 188*b365*b450
      + 190*b365*b458 + 198*b365*b470 - 138*b365*b472 - 116*b365*b477 - 8*b365*
     b488 + 156*b365*b497 - 170*b365*b498 + 140*b365*b501 + 34*b366*b369 - 80*
     b366*b386 - 116*b366*b399 + 12*b366*b416 - 164*b366*b419 + 198*b366*b421
      + 182*b366*b433 + 166*b366*b442 + 90*b366*b468 - 56*b366*b470 + 154*b366*
     b476 + 34*b366*b496 - 112*b367*b369 + 76*b367*b381 + 18*b367*b382 + 190*
     b367*b385 - 6*b367*b392 + 72*b367*b398 + 104*b367*b399 + 140*b367*b410 + 
     138*b367*b411 - 4*b367*b421 + 92*b367*b423 + 74*b367*b443 - 70*b367*b455
      + 170*b367*b466 + 186*b367*b475 + 102*b367*b486 + 54*b367*b494 - 130*b368
     *b372 - 170*b368*b374 - 40*b368*b381 - 112*b368*b394 + 76*b368*b413 + 56*
     b368*b417 + 68*b368*b419 + 126*b368*b424 + 186*b368*b431 - 38*b368*b432 - 
     8*b368*b435 + 148*b368*b452 - 140*b368*b469 + 80*b368*b475 + 64*b368*b485
      - 174*b368*b491 - 40*b369*b406 - 118*b369*b426 - 150*b369*b453 - 38*b369*
     b455 - 24*b369*b462 - 138*b369*b480 + 110*b370*b372 + 48*b370*b380 - 52*
     b370*b406 + 166*b370*b409 + 22*b370*b410 - 30*b370*b429 + 28*b370*b455 - 
     134*b370*b459 - 164*b370*b461 - 136*b370*b463 + 168*b370*b470 - 124*b370*
     b488 + 164*b370*b499 + 40*b371*b373 + 14*b371*b384 + 94*b371*b394 + 166*
     b371*b397 + 168*b371*b399 - 182*b371*b411 - 106*b371*b415 + 146*b371*b423
      + 48*b371*b440 - 176*b371*b444 + 88*b371*b451 - 148*b371*b453 + 118*b371*
     b454 + 134*b371*b480 - 112*b371*b497 + 78*b372*b375 + 56*b372*b381 + 54*
     b372*b423 - 114*b372*b444 + 60*b372*b448 + 22*b372*b449 + 2*b372*b482 + 38
     *b372*b487 + 40*b372*b497 - 32*b373*b378 + 102*b373*b379 + 98*b373*b447 - 
     138*b373*b448 + 132*b373*b475 + 168*b373*b487 - 142*b373*b490 - 24*b373*
     b499 + 14*b374*b393 - 198*b374*b395 + 104*b374*b401 + 154*b374*b410 + 70*
     b374*b412 - 8*b374*b413 + 64*b374*b414 - 54*b374*b420 - 114*b374*b449 - 84
     *b374*b467 + 36*b374*b468 + 4*b374*b477 + 190*b374*b481 + 52*b375*b384 - 
     84*b375*b392 + 42*b375*b401 + 162*b375*b413 - 160*b375*b433 - 106*b375*
     b442 + 88*b375*b451 + 56*b375*b453 + 42*b375*b473 - 50*b376*b386 + 124*
     b376*b400 + 10*b376*b418 + 158*b376*b450 + 190*b376*b461 + 42*b376*b482 - 
     174*b376*b494 + 106*b377*b381 + 46*b377*b383 - 118*b377*b389 + 158*b377*
     b392 + 62*b377*b410 - 164*b377*b420 - 34*b377*b441 - 136*b377*b482 + 86*
     b377*b492 + 54*b377*b493 - 28*b377*b500 + 14*b378*b383 - 88*b378*b393 - 8*
     b378*b401 - 192*b378*b408 + 136*b378*b418 + 146*b378*b419 - 60*b378*b429
      - 84*b378*b435 - 2*b378*b438 - 136*b378*b442 - 32*b378*b446 + 72*b378*
     b456 + 128*b378*b478 - 96*b378*b480 + 142*b378*b486 + 74*b378*b490 - 14*
     b379*b386 - 174*b379*b388 + 62*b379*b396 - 168*b379*b399 + 98*b379*b403 - 
     84*b379*b409 + 114*b379*b421 + 28*b379*b433 + 112*b379*b436 + 166*b379*
     b447 - 106*b379*b449 + 44*b379*b453 + 36*b379*b456 - 108*b379*b459 - 14*
     b379*b461 - 196*b379*b474 + 134*b379*b479 + 178*b380*b406 + 120*b380*b409
      + 36*b380*b412 - 12*b380*b422 - 190*b380*b442 - 74*b380*b443 - 174*b380*
     b447 + 72*b380*b496 - 118*b381*b385 + 6*b381*b386 + 2*b381*b387 - 72*b381*
     b394 + 106*b381*b405 + 162*b381*b408 + 60*b381*b412 + 138*b381*b413 + 2*
     b381*b418 + 124*b381*b433 + 120*b381*b444 - 182*b381*b445 + 116*b381*b464
      + 108*b381*b468 - 180*b381*b470 - 30*b381*b501 + 136*b382*b397 - 162*b382
     *b412 - 32*b382*b414 - 156*b382*b416 - 150*b382*b418 + 164*b382*b419 - 40*
     b382*b426 + 168*b382*b429 - 168*b382*b439 - 124*b382*b452 - 186*b382*b467
      + 136*b382*b468 + 130*b382*b490 + 56*b382*b492 + 32*b383*b395 + 18*b383*
     b400 - 14*b383*b402 - 150*b383*b405 - 102*b383*b411 - 164*b383*b428 - 106*
     b383*b465 - 152*b383*b466 - 108*b383*b469 - 72*b383*b487 - 168*b383*b493
      - 68*b384*b398 - 56*b384*b399 - 14*b384*b404 + 34*b384*b405 - 116*b384*
     b424 - 10*b384*b456 + 136*b384*b465 - 192*b384*b471 - 144*b384*b486 + 116*
     b384*b498 + 80*b385*b389 - 88*b385*b443 - 110*b385*b448 + 110*b385*b462 + 
     178*b385*b464 + 178*b385*b467 + 22*b385*b484 + 20*b385*b489 - 160*b385*
     b497 + 52*b386*b387 - 64*b386*b388 - 98*b386*b396 + 82*b386*b412 + 40*b386
     *b427 + 58*b386*b428 - 168*b386*b434 + 152*b386*b455 - 182*b386*b474 - 94*
     b386*b478 + 196*b386*b485 + 78*b386*b496 - 70*b386*b500 - 8*b387*b393 - 58
     *b387*b402 - 172*b387*b406 + 90*b387*b412 - 154*b387*b430 - 70*b387*b431
      + 22*b387*b462 + 36*b387*b477 - 82*b387*b485 + 52*b388*b398 + 40*b388*
     b408 + 184*b388*b419 - 86*b388*b424 - 178*b388*b457 + 182*b388*b458 - 2*
     b388*b460 - 170*b388*b462 + 120*b388*b464 - 46*b388*b481 + 14*b388*b488 + 
     8*b388*b498 + 134*b389*b391 - 124*b389*b395 - 100*b389*b396 - 46*b389*b397
      - 156*b389*b401 + 68*b389*b408 - 46*b389*b409 + 192*b389*b412 - 4*b389*
     b434 - 72*b389*b446 - 68*b389*b448 - 96*b389*b470 + 26*b389*b473 + 118*
     b389*b474 + 74*b389*b488 + 76*b389*b489 - 196*b389*b493 + 4*b389*b495 + 
     152*b390*b391 - 118*b390*b401 - 40*b390*b403 + 2*b390*b423 - 92*b390*b428
      + 108*b390*b438 + 114*b390*b440 - 90*b390*b451 + 104*b390*b460 + 144*b390
     *b493 + 48*b390*b500 + 198*b391*b403 + 92*b391*b434 - 28*b391*b453 + 18*
     b391*b470 + 56*b391*b489 + 10*b392*b402 + 104*b392*b410 + 14*b392*b413 + 
     90*b392*b421 + 180*b392*b424 - 10*b392*b431 - 132*b392*b438 + 72*b392*b459
      + 138*b392*b477 + 142*b392*b492 + 104*b392*b499 + 24*b392*b500 - 30*b393*
     b410 + 48*b393*b439 + 112*b393*b440 + 190*b393*b442 - 158*b393*b447 + 42*
     b393*b450 - 24*b393*b454 + 60*b393*b459 - 18*b393*b460 + 46*b393*b465 + 62
     *b393*b466 + 118*b393*b487 - 174*b393*b495 - 76*b394*b401 - 64*b394*b403
      - 54*b394*b406 - 162*b394*b423 - 140*b394*b429 + 32*b394*b437 + 28*b394*
     b454 + 24*b394*b461 + 98*b394*b466 - 104*b394*b471 + 166*b394*b473 + 178*
     b394*b483 - 140*b394*b497 - 104*b394*b498 - 16*b395*b404 - 132*b395*b413
      - 4*b395*b434 - 64*b395*b444 - 58*b395*b450 + 144*b395*b464 + 24*b395*
     b478 + 172*b395*b497 + 8*b396*b397 + 170*b396*b403 - 112*b396*b410 + 112*
     b396*b461 - 154*b396*b463 - 38*b396*b464 + 14*b396*b472 - 98*b396*b477 - 
     22*b396*b487 + 192*b396*b499 - 138*b397*b410 - 70*b397*b422 + 18*b397*b428
      - 194*b397*b444 - 140*b397*b455 + 50*b397*b473 + 162*b397*b479 + 148*b397
     *b488 + 16*b398*b407 - 32*b398*b433 + 136*b398*b443 - 106*b398*b448 - 44*
     b398*b468 + 66*b398*b471 - 174*b398*b474 + 198*b398*b477 + 154*b398*b484
      + 12*b399*b404 + 68*b399*b421 + 146*b399*b432 - 130*b399*b434 - 60*b399*
     b463 + 20*b399*b467 - 74*b399*b476 + 192*b399*b484 - 196*b399*b493 - 56*
     b399*b501 + 160*b400*b416 - 8*b400*b422 + 86*b400*b444 + 170*b400*b446 + 
     84*b400*b452 + 186*b400*b458 - 120*b400*b460 - 170*b400*b461 - 186*b400*
     b467 - 70*b400*b479 - 134*b401*b406 - 40*b401*b408 + 188*b401*b414 - 44*
     b401*b419 + 80*b401*b425 + 180*b401*b431 + 166*b401*b449 + 158*b401*b450
      - 176*b401*b462 + 102*b401*b467 - 50*b401*b490 + 134*b401*b494 - 168*b401
     *b498 - 102*b401*b499 - 128*b402*b413 + 136*b402*b429 + 26*b402*b434 - 170
     *b402*b441 - 134*b402*b467 + 12*b402*b471 + 152*b402*b474 - 64*b402*b484
      + 142*b402*b491 + 190*b403*b409 + 76*b403*b420 - 34*b403*b423 - 86*b403*
     b425 - 130*b403*b430 - 34*b403*b446 - 106*b403*b459 + 32*b403*b489 - 90*
     b403*b492 - 146*b403*b501 + 104*b404*b406 + 22*b404*b430 - 58*b404*b435 - 
     130*b404*b436 + 162*b404*b438 + 34*b404*b442 + 72*b404*b455 - 152*b404*
     b472 - 138*b404*b476 - 140*b404*b491 + 86*b405*b425 + 120*b405*b444 + 100*
     b405*b451 + 170*b405*b456 - 138*b405*b462 - 68*b405*b468 + 154*b405*b483
      - 60*b405*b498 + 152*b406*b424 + 148*b406*b426 - 88*b406*b432 + 144*b406*
     b455 - 4*b406*b491 - 154*b407*b415 + 184*b407*b419 - 38*b407*b422 + 2*b407
     *b426 - 174*b407*b430 + 80*b407*b441 - 148*b407*b452 - 36*b407*b465 - 86*
     b407*b492 + 36*b407*b493 - 14*b408*b444 + 138*b408*b445 + 60*b408*b489 - 
     78*b408*b496 + 136*b409*b415 + 128*b409*b423 + 22*b409*b434 - 2*b409*b439
      + 180*b409*b448 - 180*b409*b454 + 50*b409*b466 + 78*b409*b482 - 34*b409*
     b496 + 144*b409*b501 - 194*b410*b428 - 170*b410*b435 + 114*b410*b454 + 58*
     b410*b457 - 102*b410*b476 - 44*b410*b500 + 182*b411*b427 + 98*b411*b431 - 
     68*b411*b437 + 10*b411*b440 - 100*b411*b447 - 26*b411*b467 + 106*b411*b471
      - 152*b411*b488 - 114*b411*b497 - 28*b412*b433 - 98*b412*b449 + 158*b412*
     b459 + 120*b412*b464 - 64*b412*b488 + 156*b412*b491 + 78*b413*b427 - 114*
     b413*b429 - 158*b413*b445 + 196*b413*b462 + 14*b413*b474 - 18*b413*b499 - 
     22*b414*b420 - 14*b414*b421 + 166*b414*b423 - 56*b414*b424 + 120*b414*b432
      - 188*b414*b438 + 8*b414*b440 - 134*b414*b448 - 198*b414*b450 + 20*b414*
     b455 - 50*b414*b457 - 10*b414*b458 - 86*b414*b466 + 82*b414*b476 + 120*
     b415*b416 - 176*b415*b425 + 192*b415*b426 + 16*b415*b432 - 158*b415*b444
      - 18*b415*b448 + 92*b415*b483 + 110*b415*b490 - 172*b415*b501 + 40*b416*
     b423 - 44*b416*b427 + 188*b416*b433 + 6*b416*b443 - 98*b416*b451 + 112*
     b416*b458 - 64*b416*b476 + 52*b416*b477 - 92*b416*b497 + 62*b416*b500 + 16
     *b416*b501 + 164*b417*b431 + 142*b417*b432 - 128*b417*b452 - 28*b417*b467
      + 190*b417*b471 - 114*b417*b482 - 194*b417*b487 + 22*b417*b496 + 18*b418*
     b421 - 198*b418*b432 + 184*b418*b449 + 98*b418*b457 - 14*b418*b469 - 10*
     b418*b470 - 60*b418*b474 - 94*b418*b493 + 134*b418*b497 + 192*b419*b440 - 
     112*b419*b444 - 160*b419*b446 + 34*b419*b450 - 90*b419*b458 - 66*b419*b473
      - 160*b419*b476 + 46*b419*b488 + 26*b419*b491 + 136*b419*b496 - 70*b419*
     b497 + 130*b420*b428 - 174*b420*b443 + 152*b420*b448 - 162*b420*b449 - 186
     *b420*b451 - 122*b420*b458 - 74*b420*b470 - 134*b420*b482 - 146*b420*b491
      + 58*b421*b422 + 128*b421*b448 - 186*b421*b474 - 24*b421*b486 - 134*b421*
     b493 - 126*b421*b496 - 120*b422*b429 - 36*b422*b443 + 116*b422*b451 + 142*
     b422*b480 + 26*b422*b483 + 108*b422*b494 + 60*b423*b429 - 140*b423*b439 + 
     178*b423*b444 + 92*b423*b447 + 76*b423*b455 + 134*b423*b456 - 60*b423*b467
      - 162*b423*b470 - 148*b423*b483 - 154*b423*b484 + 158*b423*b493 + 58*b423
     *b494 + 14*b424*b425 + 6*b424*b429 + 42*b424*b434 + 100*b424*b435 - 30*
     b424*b456 + 20*b424*b478 - 68*b424*b492 - 180*b425*b433 + 86*b425*b457 + 
     174*b425*b466 - 64*b425*b474 + 76*b425*b475 + 46*b425*b476 + 168*b425*b478
      + 76*b425*b482 + 64*b426*b432 - 60*b426*b455 - 146*b426*b461 - 14*b426*
     b481 + 116*b426*b490 + 94*b426*b499 - 108*b426*b501 - 8*b427*b432 + 84*
     b427*b438 + 164*b427*b444 + 150*b427*b447 + 86*b427*b452 + 150*b427*b463
      - 178*b427*b467 + 128*b427*b477 + 72*b427*b484 - 20*b427*b488 - 144*b427*
     b489 - 72*b427*b497 - 90*b428*b433 + 126*b428*b445 + 58*b428*b452 - 124*
     b428*b464 - 36*b428*b478 + 102*b428*b487 + 180*b428*b488 - 100*b428*b497
      - 192*b428*b501 + 176*b429*b454 - 26*b429*b455 + 194*b429*b457 - 126*b430
     *b460 - 114*b430*b462 + 92*b430*b491 + 156*b430*b494 + 26*b430*b496 - 128*
     b431*b446 - 132*b431*b449 + 90*b431*b457 - 100*b431*b468 - 142*b431*b478
      + 86*b431*b488 - 50*b431*b494 - 144*b431*b501 - 170*b432*b441 - 190*b432*
     b453 - 172*b432*b459 - 170*b432*b460 - 28*b432*b468 - 32*b432*b500 - 108*
     b433*b456 + 136*b433*b475 - 14*b433*b483 + 2*b433*b494 - 12*b433*b496 + 52
     *b434*b449 + 62*b434*b461 - 78*b434*b464 - 96*b434*b475 + 46*b434*b484 - 
     60*b434*b490 - 28*b434*b491 - 116*b435*b437 - 68*b435*b452 + 130*b435*b454
      - 198*b435*b471 - 58*b435*b481 - 164*b435*b482 + 116*b435*b498 - 24*b435*
     b499 + 30*b435*b500 - 58*b436*b446 - 36*b436*b448 - 102*b436*b455 - 84*
     b436*b468 + 6*b437*b452 + 66*b437*b453 + 102*b437*b460 - 106*b437*b472 + 
     82*b437*b479 - 2*b437*b481 + 136*b437*b486 + 72*b437*b488 - 58*b437*b494
      + 174*b438*b440 + 76*b438*b442 + 196*b438*b459 + 156*b438*b465 + 26*b438*
     b467 + 80*b438*b496 - 190*b439*b466 - 86*b439*b480 + 8*b439*b489 - 34*b440
     *b441 + 126*b440*b447 - 102*b440*b456 + 6*b440*b461 + 42*b440*b476 - 180*
     b440*b481 + 178*b440*b486 + 8*b440*b492 - 164*b441*b449 + 2*b441*b452 - 
     166*b441*b459 - 192*b441*b463 - 22*b441*b476 - 146*b441*b491 + 158*b441*
     b497 + 110*b441*b501 - 112*b442*b443 + 104*b442*b446 - 82*b442*b449 - 136*
     b442*b459 + 66*b442*b477 - 46*b442*b478 + 126*b442*b483 + 40*b442*b485 - 
     58*b442*b501 - 60*b443*b455 + 120*b443*b474 + 70*b443*b480 + 182*b443*b483
      + 26*b443*b495 + 38*b443*b498 + 148*b444*b448 + 168*b444*b456 - 80*b444*
     b466 - 156*b444*b467 + 106*b444*b477 + 18*b444*b480 + 126*b444*b484 + 156*
     b444*b485 - 64*b444*b488 - 70*b444*b500 - 156*b445*b455 - 86*b445*b459 - 
     130*b445*b464 - 72*b445*b482 - 116*b445*b494 + 188*b446*b452 + 156*b446*
     b474 + 52*b447*b470 + 174*b447*b482 - 154*b447*b494 - 194*b448*b465 - 166*
     b448*b469 + 194*b448*b476 - 160*b448*b493 - 198*b449*b496 - 44*b450*b453
      + 162*b450*b462 - 142*b450*b464 + 140*b450*b498 + 168*b451*b462 - 52*b451
     *b470 + 100*b451*b473 + 152*b451*b490 - 130*b452*b462 + 126*b452*b465 - 32
     *b452*b466 - 194*b452*b482 + 104*b452*b495 + 150*b453*b458 + 80*b453*b475
      - 154*b453*b488 + 100*b453*b492 + 134*b453*b495 + 90*b453*b497 + 56*b454*
     b455 + 192*b454*b479 - 146*b454*b480 + 100*b454*b489 + 198*b454*b491 + 62*
     b455*b475 - 190*b455*b484 + 80*b455*b500 - 164*b456*b477 + 194*b456*b491
      + 140*b457*b461 + 76*b457*b466 + 76*b457*b471 - 58*b458*b467 + 166*b458*
     b470 + 74*b458*b480 + 166*b458*b486 + 76*b458*b495 - 56*b458*b496 + 158*
     b458*b501 - 4*b459*b481 + 172*b459*b490 + 82*b459*b492 + 122*b459*b494 - 
     82*b460*b461 + 186*b460*b468 - 144*b460*b473 - 124*b460*b492 + 8*b461*b476
      + 196*b461*b477 + 134*b461*b484 + 148*b461*b486 + 104*b461*b489 - 30*b461
     *b498 - 136*b462*b466 + 32*b462*b476 - 160*b462*b479 - 24*b462*b490 - 96*
     b463*b464 + 74*b463*b468 + 28*b463*b480 + 78*b463*b482 + 54*b464*b486 + 
     184*b464*b490 - 114*b464*b498 - 158*b465*b478 + 144*b465*b489 - 24*b465*
     b500 - 28*b466*b472 + 12*b466*b475 - 6*b466*b484 + 184*b466*b489 - 106*
     b466*b490 + 48*b466*b494 - 112*b466*b497 + 134*b467*b493 - 88*b468*b476 + 
     102*b468*b479 + 172*b468*b480 + 16*b468*b488 - 120*b468*b494 - 62*b468*
     b501 + 142*b469*b470 - 18*b469*b474 + 56*b469*b480 - 104*b469*b490 - 166*
     b469*b492 + 134*b469*b501 - 116*b470*b483 + 104*b471*b474 + 200*b471*b494
      - 70*b471*b498 - 102*b471*b501 - 158*b472*b477 + 90*b472*b494 - 54*b473*
     b480 + 192*b473*b488 - 68*b473*b494 - 128*b474*b479 - 92*b474*b491 - 90*
     b474*b497 + 102*b475*b481 - 130*b475*b499 - 78*b476*b493 + 100*b476*b499
      - 166*b476*b501 - 32*b477*b478 - 144*b478*b496 + 110*b480*b484 - 144*b480
     *b485 - 50*b480*b496 + 164*b481*b485 - 110*b481*b495 + 80*b481*b496 - 28*
     b481*b499 + 52*b482*b484 + 94*b482*b494 - 36*b482*b496 + 16*b483*b486 - 
     158*b483*b491 + 54*b484*b485 - 94*b484*b489 - 196*b484*b490 - 84*b485*b487
      - 118*b485*b495 - 190*b487*b490 + 168*b488*b489 - 142*b488*b495 + 196*
     b489*b492 + 120*b490*b494 + 144*b495*b501 - objvar =E= 0;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% maximizing objvar;





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