QPLIB

A Library of Quadratic Programming Instances

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QPLIB_6487

Formats gms lp mod qplib
Problem type probtype QBL
Solution point objective value solobjvalue 344592.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Thomas Schiex
#Variables nvars 618
#Binary Variables nbinvars 618
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 617
#Nonlinear Binary Variables nnlbinvars 617
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 216
#Positive eigenvalues in objective matrix nobjquadposev 216
#Nonzeros in Objective nobjnz 617
#Nonlinear Nonzeros in Objective nobjnlnz 617
#Quadratic Terms in Objective nobjquadnz 39806
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 309
#Linear Constraints nlincons 309
#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 618
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 79612
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 617
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 617
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 617.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_6487.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        310      310        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        619        1      618        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1236      619      617        0
*
*  Solve m using MIQCP minimizing 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,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583
          ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596
          ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609
          ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619;

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,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583
          ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596
          ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609
          ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310;


e1.. 50*b2*b50 + 797*b2 + 356*b50 + 11*b2*b51 + 104*b51 + 12*b2*b55 + 65*b55 + 
     132*b2*b56 + 153*b56 + 28*b2*b58 + 71*b58 + 24*b2*b60 + 122*b60 + 16*b2*
     b61 + 612*b61 + 5*b2*b65 + 436*b65 + 19*b2*b66 + 135*b66 + 29*b2*b68 + 274
     *b68 + 10*b2*b69 + 377*b69 + 8*b2*b71 + 449*b71 + 15*b2*b72 + 343*b72 + 28
     *b2*b73 + 68*b73 + 22*b2*b74 + 395*b74 + 21*b2*b76 + 3*b76 + 39*b2*b77 + 
     200*b77 + 8*b2*b78 + 80*b78 + 44*b2*b79 + 17*b79 + 7*b2*b80 + 45*b80 + 16*
     b2*b82 + 60*b82 + 12*b2*b83 + 209*b83 + 25*b2*b85 + 276*b85 + 22*b2*b86 + 
     444*b86 + 8*b2*b87 + 204*b87 + 85*b2*b88 + 320*b88 + 45*b2*b92 + 198*b92
      + 47*b2*b93 + 294*b93 + 68*b2*b95 + 115*b95 + 15*b2*b96 + 142*b96 + 10*b2
     *b100 + 73*b100 + 11*b2*b101 + 386*b101 + 18*b2*b102 + 323*b102 + 3*b2*
     b105 + 502*b105 + 14*b2*b107 + 185*b107 + 15*b2*b108 + 200*b108 + 12*b2*
     b109 + 77*b109 + b2*b110 + b110 + 7*b2*b111 + 448*b111 + 17*b2*b113 + 488*
     b113 + 35*b2*b114 + 336*b114 + 8*b2*b115 + 496*b115 + 12*b2*b116 + 30*b116
      + 119*b2*b118 + 248*b118 + 52*b2*b120 + 108*b120 + 20*b2*b123 + 128*b123
      + 19*b2*b124 + 37*b124 + 35*b2*b126 + 120*b126 + 38*b2*b127 + 486*b127 + 
     57*b2*b128 + 15*b128 + 26*b2*b129 + 88*b129 + 18*b2*b130 + 229*b130 + 45*
     b2*b131 + 33*b131 + 21*b2*b133 + 188*b133 + 21*b2*b135 + 78*b135 + 3*b2*
     b136 + 581*b136 + 7*b2*b139 + 342*b139 + 20*b2*b140 + 13*b140 + 50*b2*b141
      + 381*b141 + 10*b2*b143 + 19*b143 + 27*b2*b144 + 406*b144 + 13*b2*b147 + 
     67*b147 + 33*b2*b148 + 83*b148 + 4*b2*b149 + 194*b149 + 17*b2*b150 + 247*
     b150 + 3*b2*b151 + 404*b151 + 10*b2*b152 + 249*b152 + 22*b2*b153 + 196*
     b153 + 135*b2*b154 + 219*b154 + 14*b2*b155 + 91*b155 + 8*b2*b156 + 170*
     b156 + 10*b2*b157 + 20*b157 + 5*b2*b158 + 169*b158 + 80*b2*b159 + 373*b159
      + 49*b2*b161 + 193*b161 + 58*b2*b163 + 367*b163 + 130*b2*b164 + 132*b164
      + 15*b2*b165 + 207*b165 + 15*b2*b167 + 44*b167 + 48*b2*b169 + 271*b169 + 
     43*b2*b172 + 275*b172 + 48*b2*b173 + 187*b173 + 15*b2*b174 + 157*b174 + 20
     *b2*b175 + 153*b175 + 26*b2*b177 + 16*b177 + 40*b2*b178 + 4*b178 + 5*b2*
     b180 + 271*b180 + 36*b2*b181 + 37*b181 + 26*b2*b182 + 47*b182 + 16*b2*b183
      + 697*b183 + 45*b2*b184 + 84*b184 + 131*b2*b185 + 393*b185 + 6*b2*b187 + 
     76*b187 + 128*b2*b188 + 41*b188 + 35*b2*b190 + 139*b190 + 28*b2*b193 + 46*
     b193 + 5*b2*b194 + 719*b194 + 11*b2*b195 + 80*b195 + 50*b2*b196 + 53*b196
      + 2*b2*b197 + 156*b197 + 24*b2*b198 + 150*b198 + 29*b2*b200 + 402*b200 + 
     b2*b201 + 86*b201 + 21*b2*b202 + 487*b202 + 3*b2*b203 + 364*b203 + 5*b2*
     b204 + 120*b204 + 38*b2*b206 + 182*b206 + 21*b2*b210 + 68*b210 + 17*b2*
     b212 + 63*b212 + 26*b2*b213 + 417*b213 + 19*b2*b214 + 59*b214 + 55*b2*b215
      + 370*b215 + 123*b2*b217 + 204*b217 + 12*b2*b219 + 22*b219 + 7*b2*b222 + 
     537*b222 + 8*b2*b310 + 38*b2*b311 + 12*b2*b312 + 19*b2*b313 + 3*b2*b314 + 
     30*b2*b315 + 104*b2*b316 + 5*b2*b317 + 61*b2*b318 + 86*b2*b319 + 30*b2*
     b320 + 14*b2*b321 + 7*b2*b322 + 67*b2*b323 + 8*b2*b324 + 25*b2*b325 + 80*
     b2*b326 + 28*b2*b327 + 33*b2*b328 + 21*b2*b329 + 13*b2*b330 + 43*b2*b331
      + 69*b2*b332 + 73*b2*b333 + 69*b2*b334 + 19*b2*b335 + 57*b2*b336 + b2*
     b337 + 38*b2*b338 + 4*b2*b339 + 4*b2*b340 + 46*b2*b341 + 11*b2*b342 + 3*b2
     *b343 + 61*b2*b344 + 107*b2*b345 + 22*b2*b346 + 12*b2*b347 + 57*b2*b348 + 
     4*b2*b349 + 21*b2*b350 + 23*b2*b351 + 45*b2*b352 + 125*b2*b353 + 31*b2*
     b354 + 131*b2*b355 + 10*b2*b356 + 5*b2*b357 + 84*b2*b358 + 17*b2*b359 + 48
     *b2*b360 + 48*b2*b361 + 2*b2*b362 + 27*b2*b363 + 10*b2*b364 + 51*b2*b365
      + 108*b2*b366 + 3*b2*b367 + 48*b2*b368 + 115*b2*b369 + 111*b2*b370 + 15*
     b2*b371 + 2*b2*b372 + 13*b2*b373 + 26*b2*b374 + 27*b2*b375 + 42*b2*b376 + 
     55*b2*b377 + 109*b2*b378 + 8*b2*b379 + 12*b2*b380 + 18*b2*b381 + 41*b2*
     b382 + 12*b2*b383 + 8*b2*b384 + 9*b2*b385 + 3*b2*b386 + 10*b2*b387 + 16*b3
     *b49 + 114*b3 + 399*b49 + 2*b3*b51 + 14*b3*b54 + 338*b54 + 6*b3*b55 + 133*
     b3*b58 + 9*b3*b59 + 585*b59 + 4*b3*b60 + 24*b3*b62 + 566*b62 + 8*b3*b65 + 
     12*b3*b66 + 10*b3*b72 + 25*b3*b79 + 7*b3*b80 + 24*b3*b84 + 258*b84 + 12*b3
     *b85 + 5*b3*b86 + 2*b3*b87 + 82*b3*b91 + 19*b91 + 22*b3*b93 + 4*b3*b94 + 
     222*b94 + 24*b3*b97 + 42*b97 + 17*b3*b100 + 29*b3*b101 + 2*b3*b103 + 624*
     b103 + 51*b3*b105 + 80*b3*b118 + 24*b3*b120 + 65*b3*b122 + 673*b122 + 8*b3
     *b124 + 28*b3*b132 + 19*b132 + 41*b3*b133 + 179*b3*b134 + 382*b134 + 56*b3
     *b135 + b3*b137 + 114*b137 + 19*b3*b138 + 361*b138 + 10*b3*b140 + 17*b3*
     b141 + 12*b3*b148 + 21*b3*b149 + 11*b3*b151 + 10*b3*b152 + b3*b153 + 8*b3*
     b155 + 4*b3*b156 + 54*b3*b158 + 41*b3*b160 + 308*b160 + 36*b3*b161 + 19*b3
     *b164 + b3*b168 + 429*b168 + 17*b3*b169 + 13*b3*b173 + 32*b3*b175 + 5*b3*
     b178 + 7*b3*b182 + 2*b3*b183 + 15*b3*b184 + 44*b3*b185 + 3*b3*b187 + b3*
     b188 + 67*b3*b193 + 46*b3*b198 + 123*b3*b199 + 678*b199 + 99*b3*b200 + 19*
     b3*b204 + 2*b3*b205 + 137*b205 + 41*b3*b213 + 42*b3*b214 + 52*b3*b215 + 40
     *b3*b216 + 249*b216 + 11*b3*b222 + 7*b3*b223 + 71*b223 + 22*b3*b226 + 426*
     b226 + 17*b3*b228 + 23*b228 + 15*b3*b229 + 75*b229 + b3*b231 + 211*b231 + 
     9*b3*b232 + 164*b232 + 3*b3*b235 + 148*b235 + b3*b240 + 37*b240 + 58*b3*
     b243 + 17*b243 + 11*b3*b244 + 80*b244 + 21*b3*b245 + 87*b245 + 5*b3*b310
      + 13*b3*b312 + 19*b3*b313 + 82*b3*b315 + 56*b3*b318 + 69*b3*b319 + 112*b3
     *b320 + 26*b3*b321 + 20*b3*b322 + 137*b3*b323 + 25*b3*b324 + 6*b3*b325 + 
     20*b3*b326 + 75*b3*b329 + 4*b3*b334 + 24*b3*b335 + 33*b3*b337 + 113*b3*
     b338 + 36*b3*b339 + 105*b3*b340 + 34*b3*b341 + 8*b3*b344 + 30*b3*b347 + 25
     *b3*b355 + 92*b3*b356 + 2*b3*b357 + 10*b3*b359 + 66*b3*b360 + 43*b3*b361
      + 19*b3*b363 + 19*b3*b364 + 27*b3*b365 + 39*b3*b366 + 19*b3*b367 + 3*b3*
     b368 + 9*b3*b369 + 26*b3*b370 + 14*b3*b371 + 4*b3*b372 + 18*b3*b373 + 81*
     b3*b374 + 46*b3*b377 + 14*b3*b378 + 17*b3*b379 + 43*b3*b380 + 56*b3*b381
      + 18*b3*b383 + 6*b3*b384 + 39*b3*b385 + 13*b3*b386 + 41*b3*b388 + 9*b3*
     b389 + 39*b3*b390 + 9*b3*b391 + 10*b3*b392 + 36*b3*b393 + 44*b3*b394 + 33*
     b3*b395 + 16*b3*b396 + 15*b3*b397 + 111*b3*b398 + 16*b3*b399 + 6*b3*b400
      + 11*b3*b401 + 25*b3*b402 + 8*b3*b403 + 46*b3*b404 + 88*b3*b405 + 15*b3*
     b406 + 103*b3*b407 + 11*b3*b408 + 26*b3*b409 + 83*b3*b410 + 35*b3*b411 + 
     30*b3*b412 + 6*b3*b413 + 23*b3*b414 + 63*b3*b415 + 3*b3*b416 + 22*b3*b417
      + 23*b3*b418 + 14*b3*b419 + 93*b3*b420 + 42*b3*b421 + 54*b3*b422 + 19*b3*
     b423 + 3*b3*b424 + 72*b3*b425 + 11*b3*b426 + 6*b3*b427 + 28*b3*b428 + 25*
     b3*b429 + 176*b3*b430 + 54*b3*b431 + 59*b3*b432 + 8*b3*b433 + 5*b3*b434 + 
     7*b3*b435 + 23*b3*b436 + 9*b3*b437 + 6*b3*b438 + 9*b3*b439 + 83*b3*b440 + 
     57*b3*b441 + 2*b3*b442 + 16*b3*b443 + 32*b3*b444 + 12*b3*b445 + 50*b3*b446
      + 3*b3*b447 + 2*b3*b448 + 53*b3*b449 + 14*b3*b450 + 9*b3*b451 + 28*b3*
     b452 + 11*b4*b49 + 2933*b4 + 45*b4*b50 + 12*b4*b52 + 332*b52 + 68*b4*b57
      + 338*b57 + 43*b4*b58 + 69*b4*b62 + 135*b4*b64 + 586*b64 + 44*b4*b67 + 
     283*b67 + 15*b4*b68 + 53*b4*b69 + b4*b70 + 143*b70 + 28*b4*b71 + 29*b4*b72
      + 132*b4*b74 + 2*b4*b76 + 9*b4*b77 + 14*b4*b78 + 28*b4*b79 + 16*b4*b80 + 
     4*b4*b81 + 452*b81 + 18*b4*b82 + 36*b4*b83 + 5*b4*b84 + 18*b4*b85 + 48*b4*
     b87 + 13*b4*b88 + 33*b4*b91 + 98*b4*b92 + 31*b4*b93 + 46*b4*b98 + 202*b98
      + 29*b4*b100 + 115*b4*b101 + 67*b4*b105 + 19*b4*b107 + 85*b4*b108 + 103*
     b4*b110 + 29*b4*b111 + 30*b4*b113 + 14*b4*b115 + 23*b4*b117 + 415*b117 + 
     34*b4*b118 + 5*b4*b119 + 485*b119 + 10*b4*b120 + 32*b4*b122 + 5*b4*b124 + 
     13*b4*b128 + 3*b4*b131 + 19*b4*b133 + 71*b4*b134 + 31*b4*b136 + 29*b4*b137
      + 23*b4*b141 + 58*b4*b142 + 97*b142 + 28*b4*b144 + 22*b4*b146 + 280*b146
      + 15*b4*b151 + 15*b4*b155 + 25*b4*b156 + 12*b4*b157 + 26*b4*b159 + 44*b4*
     b162 + 215*b162 + 37*b4*b167 + 11*b4*b168 + 55*b4*b175 + 35*b4*b177 + 26*
     b4*b178 + 10*b4*b183 + 46*b4*b184 + 3*b4*b185 + 72*b4*b187 + 51*b4*b190 + 
     28*b4*b194 + 59*b4*b195 + 94*b4*b200 + 53*b4*b204 + 51*b4*b207 + 290*b207
      + 30*b4*b208 + 3*b208 + 49*b4*b213 + 41*b4*b215 + 78*b4*b216 + 27*b4*b218
      + 75*b218 + 109*b4*b219 + 77*b4*b221 + 493*b221 + 22*b4*b222 + 57*b4*b225
      + 83*b225 + 17*b4*b226 + 8*b4*b228 + 36*b4*b232 + 31*b4*b233 + 79*b233 + 
     6*b4*b235 + 106*b4*b236 + 193*b236 + 23*b4*b241 + 208*b241 + 46*b4*b243 + 
     50*b4*b244 + 36*b4*b248 + 66*b248 + 5*b4*b310 + 35*b4*b313 + 50*b4*b314 + 
     48*b4*b316 + 31*b4*b318 + 4*b4*b322 + 44*b4*b325 + 11*b4*b329 + 14*b4*b330
      + 14*b4*b332 + 8*b4*b333 + 27*b4*b335 + 34*b4*b336 + 29*b4*b337 + 13*b4*
     b338 + 59*b4*b339 + 55*b4*b344 + 66*b4*b346 + 15*b4*b347 + 48*b4*b348 + 14
     *b4*b350 + 9*b4*b352 + 120*b4*b354 + 81*b4*b356 + 17*b4*b358 + 10*b4*b359
      + 4*b4*b361 + 17*b4*b363 + b4*b364 + 21*b4*b365 + 18*b4*b366 + 39*b4*b367
      + 8*b4*b368 + 5*b4*b369 + 68*b4*b370 + 34*b4*b371 + 34*b4*b373 + 38*b4*
     b374 + 5*b4*b375 + 21*b4*b376 + 20*b4*b379 + 153*b4*b380 + 45*b4*b381 + 20
     *b4*b384 + 42*b4*b387 + 13*b4*b388 + 53*b4*b390 + 53*b4*b391 + 15*b4*b393
      + 13*b4*b394 + 135*b4*b395 + 2*b4*b399 + 8*b4*b400 + 28*b4*b401 + 12*b4*
     b402 + 28*b4*b404 + 13*b4*b408 + 78*b4*b410 + 51*b4*b412 + 24*b4*b413 + 22
     *b4*b414 + 20*b4*b416 + 82*b4*b419 + 129*b4*b420 + 52*b4*b421 + 78*b4*b422
      + 101*b4*b425 + 29*b4*b428 + 14*b4*b429 + 60*b4*b430 + 10*b4*b437 + 41*b4
     *b440 + 22*b4*b441 + 30*b4*b442 + 31*b4*b445 + 3*b4*b446 + 73*b4*b448 + 11
     *b4*b450 + b4*b451 + 66*b4*b452 + 40*b4*b453 + 19*b4*b454 + 10*b4*b455 + 3
     *b4*b456 + 14*b4*b457 + 32*b4*b458 + 9*b4*b459 + 40*b4*b460 + 51*b4*b461
      + 22*b4*b462 + 3*b4*b463 + 132*b4*b464 + 25*b4*b465 + 35*b4*b466 + 24*b4*
     b467 + 44*b4*b468 + 38*b4*b469 + 45*b4*b470 + 23*b4*b471 + 90*b4*b472 + 6*
     b4*b473 + 2*b4*b474 + 3*b4*b475 + 37*b4*b476 + 28*b5*b49 + 143*b5 + 28*b5*
     b51 + 106*b5*b52 + 16*b5*b55 + 40*b5*b57 + 6*b5*b58 + 44*b5*b59 + 15*b5*
     b60 + 5*b5*b62 + 21*b5*b63 + 219*b63 + 24*b5*b64 + 2*b5*b65 + 26*b5*b66 + 
     9*b5*b67 + 26*b5*b68 + 66*b5*b70 + 52*b5*b72 + 8*b5*b74 + 161*b5*b75 + 450
     *b75 + 12*b5*b77 + 21*b5*b80 + 35*b5*b81 + 118*b5*b82 + 7*b5*b83 + 81*b5*
     b85 + 20*b5*b86 + 22*b5*b87 + 143*b5*b88 + 27*b5*b89 + 317*b89 + 19*b5*b90
      + 178*b90 + 13*b5*b92 + 6*b5*b93 + 37*b5*b95 + 27*b5*b97 + 18*b5*b103 + 
     150*b5*b104 + 33*b104 + 17*b5*b106 + 553*b106 + 5*b5*b107 + 10*b5*b109 + 
     b5*b110 + 57*b5*b112 + 395*b112 + 88*b5*b113 + 2*b5*b115 + 53*b5*b116 + 53
     *b5*b118 + 6*b5*b119 + 43*b5*b121 + 320*b121 + 41*b5*b122 + 29*b5*b124 + 
     13*b5*b126 + 23*b5*b127 + 27*b5*b129 + 9*b5*b133 + 40*b5*b134 + 82*b5*b139
      + 25*b5*b140 + 6*b5*b142 + 9*b5*b145 + 397*b145 + 53*b5*b146 + b5*b153 + 
     34*b5*b154 + 67*b5*b156 + 9*b5*b158 + 11*b5*b159 + 13*b5*b162 + 22*b5*b163
      + 91*b5*b164 + 19*b5*b165 + 77*b5*b166 + 357*b166 + 6*b5*b167 + 86*b5*
     b169 + 54*b5*b170 + 51*b170 + 28*b5*b173 + 74*b5*b178 + 49*b5*b181 + 9*b5*
     b182 + 11*b5*b185 + 21*b5*b186 + 230*b186 + 23*b5*b188 + 32*b5*b190 + 17*
     b5*b191 + 154*b191 + 121*b5*b196 + 6*b5*b198 + 10*b5*b199 + b5*b201 + 42*
     b5*b203 + 25*b5*b204 + 13*b5*b205 + 17*b5*b213 + 6*b5*b214 + 19*b5*b215 + 
     10*b5*b216 + 16*b5*b218 + 4*b5*b219 + 38*b5*b220 + 255*b220 + 24*b5*b221
      + 58*b5*b223 + 13*b5*b225 + 38*b5*b226 + 107*b5*b228 + 27*b5*b229 + 22*b5
     *b232 + 26*b5*b233 + 11*b5*b247 + 94*b247 + b5*b248 + 5*b5*b258 + 72*b258
      + 9*b5*b310 + 28*b5*b313 + 2*b5*b314 + 33*b5*b322 + 31*b5*b328 + 4*b5*
     b331 + 10*b5*b332 + 17*b5*b334 + 17*b5*b335 + 4*b5*b341 + 33*b5*b342 + 21*
     b5*b346 + 23*b5*b347 + 39*b5*b348 + 43*b5*b350 + 175*b5*b351 + 39*b5*b352
      + 11*b5*b353 + 15*b5*b354 + 44*b5*b358 + 36*b5*b359 + 4*b5*b362 + 9*b5*
     b364 + 15*b5*b365 + 6*b5*b367 + 12*b5*b369 + 12*b5*b372 + 18*b5*b373 + 15*
     b5*b374 + 8*b5*b377 + 13*b5*b378 + 63*b5*b379 + 13*b5*b381 + 10*b5*b386 + 
     18*b5*b388 + 5*b5*b393 + 18*b5*b394 + 32*b5*b395 + 20*b5*b396 + 38*b5*b397
      + 19*b5*b398 + 32*b5*b399 + 58*b5*b400 + 100*b5*b402 + 149*b5*b404 + 40*
     b5*b405 + 8*b5*b406 + 50*b5*b409 + 20*b5*b410 + 2*b5*b412 + 29*b5*b414 + 
     14*b5*b417 + 19*b5*b420 + 18*b5*b421 + 9*b5*b425 + 11*b5*b427 + 4*b5*b429
      + 2*b5*b430 + 22*b5*b432 + 113*b5*b433 + b5*b434 + 140*b5*b437 + 22*b5*
     b439 + 81*b5*b443 + 14*b5*b444 + 79*b5*b448 + 50*b5*b451 + 18*b5*b457 + 22
     *b5*b458 + 21*b5*b460 + 23*b5*b461 + 22*b5*b463 + 9*b5*b471 + 191*b5*b473
      + 10*b5*b477 + 4*b5*b478 + 34*b5*b479 + 2*b5*b480 + 10*b5*b481 + 23*b5*
     b482 + 89*b5*b483 + b5*b484 + 10*b5*b485 + 54*b5*b486 + 60*b5*b487 + 223*
     b5*b488 + 3*b5*b489 + 12*b5*b490 + 58*b5*b491 + 11*b5*b492 + 31*b6*b51 + 
     326*b6 + 29*b6*b53 + 350*b53 + 40*b6*b54 + 2*b6*b56 + 15*b6*b57 + 31*b6*
     b61 + 6*b6*b62 + 83*b6*b65 + 14*b6*b66 + 42*b6*b71 + 3*b6*b73 + 21*b6*b75
      + 7*b6*b77 + 51*b6*b82 + 10*b6*b83 + 14*b6*b84 + 70*b6*b85 + 71*b6*b90 + 
     45*b6*b93 + 12*b6*b95 + 48*b6*b96 + b6*b97 + 14*b6*b98 + 13*b6*b100 + 4*b6
     *b101 + 12*b6*b102 + 25*b6*b103 + 4*b6*b105 + 15*b6*b107 + 8*b6*b109 + 7*
     b6*b113 + 14*b6*b114 + 31*b6*b115 + 13*b6*b118 + 21*b6*b120 + 23*b6*b124
      + 42*b6*b125 + 112*b125 + b6*b127 + 14*b6*b130 + 20*b6*b133 + 19*b6*b134
      + 4*b6*b135 + 3*b6*b139 + 36*b6*b141 + 34*b6*b142 + 4*b6*b143 + 34*b6*
     b146 + 8*b6*b147 + 4*b6*b149 + 42*b6*b151 + 19*b6*b152 + 22*b6*b153 + 40*
     b6*b154 + 186*b6*b155 + 51*b6*b157 + 23*b6*b158 + 34*b6*b159 + 62*b6*b161
      + 22*b6*b164 + 8*b6*b165 + 12*b6*b167 + 23*b6*b169 + 12*b6*b170 + 85*b6*
     b171 + 31*b171 + 9*b6*b175 + 37*b6*b177 + 2*b6*b179 + 374*b179 + 11*b6*
     b180 + 125*b6*b182 + b6*b183 + 6*b6*b184 + 8*b6*b188 + 24*b6*b189 + 127*
     b189 + 3*b6*b191 + 10*b6*b193 + 58*b6*b195 + 8*b6*b196 + 28*b6*b198 + 34*
     b6*b200 + 62*b6*b201 + 49*b6*b202 + 14*b6*b204 + 66*b6*b206 + 20*b6*b210
      + 36*b6*b211 + 32*b211 + 74*b6*b212 + 87*b6*b213 + 3*b6*b216 + 36*b6*b217
      + 43*b6*b222 + 3*b6*b223 + 8*b6*b225 + 14*b6*b231 + 94*b6*b233 + 19*b6*
     b234 + 103*b234 + 5*b6*b236 + 24*b6*b238 + 42*b238 + 39*b6*b239 + 98*b239
      + 24*b6*b241 + 12*b6*b245 + 4*b6*b310 + 31*b6*b311 + 23*b6*b312 + b6*b316
      + 7*b6*b319 + 19*b6*b321 + 22*b6*b323 + 71*b6*b324 + 73*b6*b326 + 26*b6*
     b329 + 35*b6*b331 + 67*b6*b332 + 26*b6*b335 + 21*b6*b337 + 43*b6*b338 + 24
     *b6*b339 + 7*b6*b340 + 58*b6*b341 + 66*b6*b342 + 37*b6*b343 + 27*b6*b344
      + 35*b6*b345 + 27*b6*b346 + 9*b6*b348 + 63*b6*b351 + 10*b6*b353 + 7*b6*
     b354 + b6*b356 + 22*b6*b358 + 14*b6*b360 + 3*b6*b361 + 103*b6*b362 + 11*b6
     *b366 + 8*b6*b368 + 37*b6*b371 + 46*b6*b373 + 5*b6*b374 + 35*b6*b375 + 29*
     b6*b376 + 30*b6*b377 + 25*b6*b378 + 63*b6*b379 + 2*b6*b383 + 28*b6*b384 + 
     b6*b385 + 4*b6*b389 + 9*b6*b392 + 86*b6*b399 + 5*b6*b403 + 78*b6*b404 + 5*
     b6*b405 + 2*b6*b406 + 2*b6*b407 + 27*b6*b409 + 47*b6*b412 + 4*b6*b413 + b6
     *b414 + 44*b6*b417 + 4*b6*b419 + 2*b6*b422 + 23*b6*b425 + 11*b6*b427 + 32*
     b6*b429 + 9*b6*b431 + 17*b6*b433 + 18*b6*b436 + 5*b6*b439 + 32*b6*b441 + 
     133*b6*b443 + 21*b6*b444 + 18*b6*b446 + 29*b6*b448 + 33*b6*b449 + 3*b6*
     b455 + 63*b6*b456 + 7*b6*b458 + b6*b460 + 162*b6*b462 + 36*b6*b470 + 22*b6
     *b472 + 10*b6*b474 + 74*b6*b476 + 14*b6*b478 + 20*b6*b481 + 39*b6*b482 + 7
     *b6*b492 + 18*b6*b493 + 22*b6*b494 + 5*b6*b495 + 42*b6*b496 + 24*b6*b497
      + 14*b6*b498 + 30*b6*b499 + 43*b6*b500 + 20*b6*b501 + 11*b6*b502 + 16*b7*
     b50 + 487*b7 + 39*b7*b56 + 116*b7*b57 + 26*b7*b60 + 13*b7*b61 + 121*b7*b63
      + 5*b7*b64 + 4*b7*b66 + 12*b7*b67 + 33*b7*b68 + 8*b7*b69 + 101*b7*b74 + 2
     *b7*b75 + 9*b7*b77 + 75*b7*b79 + 7*b7*b82 + 24*b7*b83 + 47*b7*b84 + 6*b7*
     b87 + 15*b7*b88 + 14*b7*b90 + 25*b7*b93 + 14*b7*b95 + 16*b7*b98 + 3*b7*
     b103 + 19*b7*b104 + 33*b7*b106 + 24*b7*b107 + 160*b7*b108 + 16*b7*b117 + 
     26*b7*b118 + 5*b7*b119 + 54*b7*b120 + 4*b7*b121 + 18*b7*b124 + 27*b7*b125
      + 16*b7*b126 + 8*b7*b129 + b7*b131 + 13*b7*b132 + 69*b7*b135 + 24*b7*b137
      + 60*b7*b139 + 23*b7*b142 + 3*b7*b143 + 30*b7*b149 + 2*b7*b150 + 12*b7*
     b151 + 19*b7*b153 + 14*b7*b154 + 31*b7*b156 + 8*b7*b158 + 37*b7*b160 + 16*
     b7*b162 + 17*b7*b164 + 57*b7*b165 + 37*b7*b167 + 7*b7*b168 + 31*b7*b171 + 
     6*b7*b172 + 50*b7*b175 + 27*b7*b176 + 236*b176 + 78*b7*b179 + 16*b7*b180
      + 12*b7*b181 + 17*b7*b182 + 23*b7*b188 + 3*b7*b193 + 73*b7*b194 + 5*b7*
     b199 + 32*b7*b200 + 11*b7*b201 + 56*b7*b205 + 10*b7*b207 + 9*b7*b208 + 103
     *b7*b211 + 8*b7*b212 + 42*b7*b216 + 26*b7*b218 + 60*b7*b220 + 46*b7*b226
      + 7*b7*b227 + 267*b227 + 49*b7*b229 + 26*b7*b230 + 305*b230 + 4*b7*b232
      + 21*b7*b233 + 29*b7*b234 + 8*b7*b241 + 28*b7*b244 + 14*b7*b247 + 2*b7*
     b258 + 9*b7*b310 + 3*b7*b311 + 20*b7*b313 + 35*b7*b314 + 7*b7*b316 + 116*
     b7*b317 + 75*b7*b320 + 24*b7*b322 + 20*b7*b323 + 22*b7*b324 + 2*b7*b326 + 
     4*b7*b327 + 68*b7*b329 + 4*b7*b331 + 5*b7*b332 + 9*b7*b333 + 19*b7*b339 + 
     42*b7*b342 + 53*b7*b345 + 72*b7*b346 + 84*b7*b349 + 16*b7*b350 + 25*b7*
     b352 + 17*b7*b354 + 65*b7*b356 + 22*b7*b359 + 11*b7*b361 + 13*b7*b363 + 43
     *b7*b368 + 10*b7*b369 + 55*b7*b370 + 5*b7*b371 + 7*b7*b373 + 9*b7*b374 + 8
     *b7*b379 + 6*b7*b385 + 68*b7*b386 + 9*b7*b387 + 7*b7*b388 + 45*b7*b390 + 
     36*b7*b391 + 115*b7*b392 + 29*b7*b393 + 52*b7*b395 + 38*b7*b396 + 52*b7*
     b397 + 44*b7*b398 + 16*b7*b399 + 8*b7*b405 + 27*b7*b406 + 61*b7*b407 + 24*
     b7*b409 + 19*b7*b410 + 23*b7*b411 + 16*b7*b412 + 34*b7*b415 + 59*b7*b419
      + 36*b7*b420 + 25*b7*b421 + 22*b7*b426 + 28*b7*b427 + 5*b7*b429 + 35*b7*
     b431 + 43*b7*b432 + 34*b7*b437 + 11*b7*b440 + 16*b7*b442 + 14*b7*b444 + 51
     *b7*b449 + 3*b7*b450 + 27*b7*b451 + 16*b7*b452 + 5*b7*b453 + 29*b7*b454 + 
     4*b7*b456 + 20*b7*b458 + 41*b7*b460 + 6*b7*b462 + 16*b7*b467 + 53*b7*b468
      + 69*b7*b472 + 2*b7*b473 + 27*b7*b477 + 11*b7*b479 + 21*b7*b481 + 13*b7*
     b482 + 50*b7*b484 + 24*b7*b486 + 11*b7*b488 + 2*b7*b489 + 87*b7*b490 + 49*
     b7*b492 + 12*b7*b493 + 23*b7*b496 + 7*b7*b498 + 9*b7*b499 + 17*b7*b501 + 
     33*b7*b502 + 44*b7*b503 + 71*b7*b504 + 114*b7*b505 + 30*b7*b506 + 137*b8*
     b49 + 150*b8 + 93*b8*b59 + 32*b8*b63 + 27*b8*b64 + 11*b8*b66 + 65*b8*b68
      + 15*b8*b69 + 46*b8*b70 + 12*b8*b71 + 21*b8*b72 + 7*b8*b73 + 120*b8*b75
      + 78*b8*b76 + 62*b8*b78 + 7*b8*b79 + 100*b8*b80 + 2*b8*b85 + b8*b88 + 13*
     b8*b90 + 35*b8*b95 + 43*b8*b97 + 63*b8*b98 + 41*b8*b100 + 4*b8*b101 + 48*
     b8*b102 + 84*b8*b103 + 3*b8*b104 + 80*b8*b106 + 6*b8*b110 + 2*b8*b111 + 11
     *b8*b112 + 12*b8*b115 + 94*b8*b122 + 7*b8*b124 + 27*b8*b125 + 28*b8*b128
      + 17*b8*b129 + 10*b8*b131 + 65*b8*b132 + 5*b8*b133 + 16*b8*b134 + 13*b8*
     b135 + 40*b8*b137 + 7*b8*b138 + 59*b8*b139 + 4*b8*b140 + 138*b8*b142 + 30*
     b8*b143 + 27*b8*b146 + 2*b8*b147 + 94*b8*b149 + 5*b8*b151 + 6*b8*b153 + 
     144*b8*b160 + 24*b8*b162 + 141*b8*b164 + 85*b8*b166 + 19*b8*b167 + 5*b8*
     b168 + 51*b8*b170 + 10*b8*b171 + 35*b8*b172 + 14*b8*b174 + 41*b8*b176 + 10
     *b8*b179 + 18*b8*b182 + 12*b8*b183 + 19*b8*b187 + 34*b8*b189 + 25*b8*b190
      + 10*b8*b192 + 170*b192 + 2*b8*b194 + 9*b8*b196 + 3*b8*b197 + 2*b8*b198
      + 38*b8*b199 + 7*b8*b204 + 28*b8*b207 + 68*b8*b208 + 24*b8*b209 + 236*
     b209 + 4*b8*b210 + 12*b8*b211 + 32*b8*b218 + 22*b8*b219 + 31*b8*b223 + 7*
     b8*b226 + 131*b8*b228 + 92*b8*b229 + 4*b8*b230 + 69*b8*b233 + 27*b8*b235
      + 31*b8*b236 + 11*b8*b238 + 11*b8*b242 + 59*b242 + 6*b8*b244 + 12*b8*b247
      + 6*b8*b248 + 13*b8*b251 + 211*b251 + 6*b8*b310 + 28*b8*b312 + 41*b8*b313
      + 86*b8*b314 + 5*b8*b317 + 5*b8*b320 + 12*b8*b321 + 12*b8*b326 + 13*b8*
     b328 + 27*b8*b329 + 29*b8*b331 + 61*b8*b332 + 64*b8*b335 + 7*b8*b340 + 28*
     b8*b341 + 21*b8*b342 + 16*b8*b343 + 55*b8*b344 + 14*b8*b346 + 13*b8*b350
      + 18*b8*b352 + 10*b8*b356 + 21*b8*b359 + 19*b8*b368 + 36*b8*b370 + 21*b8*
     b372 + 27*b8*b376 + 19*b8*b381 + 2*b8*b382 + 7*b8*b385 + 31*b8*b389 + 20*
     b8*b390 + 62*b8*b391 + 29*b8*b393 + 16*b8*b396 + 4*b8*b397 + 19*b8*b398 + 
     22*b8*b400 + 20*b8*b401 + 21*b8*b402 + 17*b8*b407 + 15*b8*b410 + 50*b8*
     b412 + 32*b8*b414 + 32*b8*b415 + 11*b8*b416 + 48*b8*b419 + 34*b8*b421 + 
     132*b8*b422 + 9*b8*b423 + 25*b8*b424 + 8*b8*b426 + 81*b8*b427 + 6*b8*b430
      + 36*b8*b433 + 77*b8*b435 + 13*b8*b438 + 35*b8*b439 + 64*b8*b440 + 4*b8*
     b441 + 37*b8*b442 + 2*b8*b444 + 179*b8*b445 + 19*b8*b446 + 26*b8*b451 + 25
     *b8*b452 + 2*b8*b453 + 27*b8*b454 + 2*b8*b456 + 3*b8*b458 + 40*b8*b461 + 
     17*b8*b465 + 37*b8*b467 + 38*b8*b469 + 29*b8*b470 + 5*b8*b471 + 10*b8*b472
      + 55*b8*b474 + 122*b8*b475 + 18*b8*b476 + 19*b8*b479 + 30*b8*b480 + 39*b8
     *b483 + 10*b8*b484 + 27*b8*b486 + 26*b8*b488 + 23*b8*b491 + 30*b8*b493 + 
     71*b8*b494 + 7*b8*b495 + 20*b8*b497 + 2*b8*b498 + 12*b8*b501 + b8*b502 + 2
     *b8*b506 + 35*b8*b507 + 101*b8*b508 + 5*b9*b49 + 665*b9 + 6*b9*b51 + 12*b9
     *b55 + 19*b9*b58 + 7*b9*b59 + 2*b9*b60 + 29*b9*b63 + 24*b9*b69 + 3*b9*b73
      + 17*b9*b76 + 26*b9*b78 + 12*b9*b82 + 9*b9*b83 + 24*b9*b85 + 167*b9*b86
      + 12*b9*b89 + 37*b9*b92 + 52*b9*b93 + 26*b9*b95 + 6*b9*b96 + 7*b9*b99 + 
     253*b99 + 28*b9*b101 + 16*b9*b103 + 30*b9*b104 + 10*b9*b106 + 40*b9*b107
      + 3*b9*b108 + 54*b9*b109 + 4*b9*b110 + 11*b9*b113 + 24*b9*b117 + 24*b9*
     b118 + 11*b9*b119 + 40*b9*b120 + 61*b9*b121 + 10*b9*b124 + 16*b9*b125 + 65
     *b9*b126 + 51*b9*b129 + 51*b9*b131 + 5*b9*b132 + 24*b9*b133 + 11*b9*b137
      + 42*b9*b138 + 19*b9*b139 + 31*b9*b140 + 4*b9*b141 + 38*b9*b142 + b9*b143
      + 8*b9*b144 + 2*b9*b145 + 27*b9*b150 + 2*b9*b151 + 29*b9*b152 + 8*b9*b154
      + 3*b9*b156 + 43*b9*b159 + 4*b9*b160 + 3*b9*b161 + 29*b9*b162 + 43*b9*
     b164 + 10*b9*b166 + 19*b9*b167 + 35*b9*b168 + 16*b9*b169 + b9*b170 + 61*b9
     *b172 + 19*b9*b179 + b9*b180 + 95*b9*b186 + 13*b9*b187 + 84*b9*b189 + 29*
     b9*b191 + 74*b9*b192 + 18*b9*b198 + 15*b9*b199 + 39*b9*b203 + 9*b9*b204 + 
     5*b9*b205 + 129*b9*b206 + 32*b9*b207 + 22*b9*b208 + 7*b9*b215 + 29*b9*b216
      + 42*b9*b218 + 63*b9*b223 + b9*b227 + 55*b9*b229 + 30*b9*b232 + 15*b9*
     b233 + 53*b9*b235 + 67*b9*b236 + 56*b9*b238 + 8*b9*b239 + 6*b9*b243 + 37*
     b9*b250 + 18*b250 + 9*b9*b251 + 8*b9*b310 + 24*b9*b312 + 16*b9*b313 + 11*
     b9*b314 + 16*b9*b315 + 12*b9*b317 + 23*b9*b319 + 14*b9*b320 + 17*b9*b323
      + 22*b9*b324 + 19*b9*b325 + 65*b9*b326 + 4*b9*b327 + 5*b9*b328 + 47*b9*
     b330 + 18*b9*b331 + 60*b9*b332 + 134*b9*b339 + 7*b9*b340 + 4*b9*b345 + 9*
     b9*b349 + 21*b9*b350 + 38*b9*b351 + 24*b9*b352 + 5*b9*b357 + 92*b9*b364 + 
     33*b9*b365 + 17*b9*b366 + 51*b9*b372 + 14*b9*b373 + 38*b9*b379 + 32*b9*
     b380 + 85*b9*b381 + 41*b9*b384 + 45*b9*b385 + 26*b9*b389 + 67*b9*b393 + 29
     *b9*b395 + 12*b9*b396 + 12*b9*b397 + 20*b9*b398 + 112*b9*b400 + 5*b9*b401
      + 41*b9*b402 + 30*b9*b403 + 44*b9*b409 + 11*b9*b410 + 46*b9*b411 + 37*b9*
     b412 + 79*b9*b416 + 39*b9*b417 + 8*b9*b420 + 6*b9*b421 + 17*b9*b422 + 14*
     b9*b425 + 47*b9*b427 + 193*b9*b429 + 52*b9*b431 + 22*b9*b432 + 19*b9*b433
      + 15*b9*b435 + 38*b9*b436 + 3*b9*b437 + 28*b9*b440 + 9*b9*b442 + 2*b9*
     b446 + 34*b9*b449 + 11*b9*b450 + 7*b9*b451 + 66*b9*b454 + 13*b9*b457 + 36*
     b9*b458 + 125*b9*b459 + 42*b9*b460 + 57*b9*b461 + 28*b9*b464 + 52*b9*b465
      + 6*b9*b469 + 16*b9*b475 + 43*b9*b476 + 35*b9*b477 + 9*b9*b478 + 100*b9*
     b479 + 30*b9*b480 + 14*b9*b482 + 56*b9*b483 + 18*b9*b484 + 64*b9*b488 + 7*
     b9*b489 + 27*b9*b491 + 40*b9*b496 + 8*b9*b497 + 2*b9*b498 + b9*b499 + 9*b9
     *b500 + 44*b9*b501 + 36*b9*b506 + 108*b9*b509 + 20*b10*b51 + 401*b10 + 34*
     b10*b52 + 47*b10*b54 + 27*b10*b55 + 51*b10*b57 + 41*b10*b58 + 22*b10*b60
      + 12*b10*b61 + 114*b10*b64 + 102*b10*b65 + 15*b10*b66 + 11*b10*b69 + 7*
     b10*b71 + 3*b10*b76 + 2*b10*b78 + 117*b10*b80 + b10*b82 + 2*b10*b84 + 18*
     b10*b85 + 20*b10*b86 + 9*b10*b87 + 4*b10*b89 + 19*b10*b90 + 82*b10*b91 + 
     38*b10*b94 + 54*b10*b96 + 17*b10*b99 + 24*b10*b106 + 12*b10*b107 + 36*b10*
     b108 + 24*b10*b111 + b10*b112 + 124*b10*b115 + 11*b10*b117 + 43*b10*b118
      + 24*b10*b123 + 18*b10*b124 + 16*b10*b125 + 28*b10*b126 + 2*b10*b127 + 7*
     b10*b132 + 38*b10*b133 + 33*b10*b134 + 3*b10*b137 + 135*b10*b138 + 47*b10*
     b139 + 12*b10*b140 + 50*b10*b141 + 8*b10*b145 + 6*b10*b146 + 116*b10*b147
      + 16*b10*b149 + 23*b10*b152 + 95*b10*b161 + 77*b10*b163 + 5*b10*b164 + 32
     *b10*b165 + 21*b10*b166 + 26*b10*b167 + 4*b10*b169 + 21*b10*b170 + 19*b10*
     b171 + 41*b10*b174 + 4*b10*b175 + 95*b10*b176 + 5*b10*b177 + 2*b10*b178 + 
     4*b10*b182 + 12*b10*b184 + 25*b10*b187 + 4*b10*b190 + 3*b10*b192 + 9*b10*
     b194 + 73*b10*b201 + 46*b10*b203 + 65*b10*b206 + 20*b10*b207 + 13*b10*b208
      + 9*b10*b209 + 2*b10*b210 + 20*b10*b211 + 138*b10*b213 + 24*b10*b215 + 
     117*b10*b217 + 25*b10*b219 + 8*b10*b220 + 10*b10*b222 + 37*b10*b223 + 12*
     b10*b227 + 66*b10*b228 + 24*b10*b230 + 7*b10*b232 + 47*b10*b233 + 34*b10*
     b235 + 29*b10*b236 + 25*b10*b238 + 14*b10*b240 + 5*b10*b241 + 129*b10*b243
      + 20*b10*b244 + 33*b10*b250 + 12*b10*b251 + 2*b10*b258 + 5*b10*b310 + b10
     *b311 + 36*b10*b313 + 26*b10*b316 + 39*b10*b317 + 53*b10*b318 + b10*b320
      + 4*b10*b321 + 13*b10*b323 + 20*b10*b324 + 17*b10*b325 + 8*b10*b326 + 61*
     b10*b333 + 4*b10*b334 + 37*b10*b336 + 41*b10*b337 + 48*b10*b343 + 13*b10*
     b344 + 35*b10*b345 + 26*b10*b350 + 26*b10*b352 + b10*b355 + 6*b10*b358 + 
     16*b10*b359 + 18*b10*b360 + 11*b10*b362 + 34*b10*b366 + 15*b10*b367 + 46*
     b10*b368 + 47*b10*b369 + 45*b10*b370 + 7*b10*b373 + 128*b10*b375 + 26*b10*
     b376 + 45*b10*b382 + 62*b10*b383 + 27*b10*b385 + 27*b10*b388 + 13*b10*b389
      + b10*b391 + 24*b10*b392 + 20*b10*b393 + 2*b10*b394 + 7*b10*b396 + 38*b10
     *b398 + 24*b10*b399 + 7*b10*b400 + 93*b10*b401 + 53*b10*b403 + 2*b10*b407
      + 6*b10*b408 + 34*b10*b410 + 33*b10*b413 + 4*b10*b414 + 35*b10*b415 + 115
     *b10*b422 + 4*b10*b424 + 2*b10*b426 + 17*b10*b427 + 53*b10*b430 + 17*b10*
     b433 + 2*b10*b435 + 19*b10*b436 + 18*b10*b437 + 10*b10*b440 + 7*b10*b443
      + 41*b10*b444 + 12*b10*b445 + 30*b10*b448 + 2*b10*b450 + 14*b10*b451 + 27
     *b10*b455 + b10*b460 + 14*b10*b461 + 16*b10*b464 + 22*b10*b465 + 21*b10*
     b468 + 7*b10*b474 + 45*b10*b475 + 72*b10*b476 + 4*b10*b477 + 45*b10*b478
      + 63*b10*b480 + 3*b10*b482 + 21*b10*b484 + 8*b10*b485 + 12*b10*b487 + 14*
     b10*b489 + 9*b10*b490 + 5*b10*b494 + 8*b10*b499 + b10*b500 + 90*b10*b501
      + 16*b10*b504 + 50*b10*b508 + 22*b11*b49 + 1757*b11 + 2*b11*b52 + b11*b53
      + 60*b11*b54 + 93*b11*b57 + 9*b11*b59 + 87*b11*b60 + 3*b11*b61 + 79*b11*
     b62 + 5*b11*b64 + 76*b11*b65 + 20*b11*b66 + 126*b11*b69 + 33*b11*b72 + 46*
     b11*b73 + 22*b11*b74 + 11*b11*b75 + 2*b11*b77 + 43*b11*b79 + 30*b11*b81 + 
     33*b11*b82 + 10*b11*b83 + 22*b11*b84 + 14*b11*b87 + 14*b11*b88 + 5*b11*b91
      + 47*b11*b92 + 24*b11*b94 + 49*b11*b95 + 28*b11*b96 + 24*b11*b99 + 21*b11
     *b100 + 42*b11*b101 + 21*b11*b103 + 46*b11*b106 + 60*b11*b108 + 31*b11*
     b113 + 17*b11*b116 + 30*b11*b117 + 31*b11*b118 + 26*b11*b119 + 32*b11*b120
      + 19*b11*b121 + 12*b11*b123 + 16*b11*b124 + 22*b11*b125 + 12*b11*b126 + 
     52*b11*b128 + 4*b11*b130 + 7*b11*b131 + 16*b11*b132 + 18*b11*b135 + 28*b11
     *b137 + 62*b11*b140 + 40*b11*b141 + 13*b11*b146 + 32*b11*b147 + 7*b11*b148
      + 29*b11*b149 + 27*b11*b152 + 101*b11*b153 + 31*b11*b154 + 18*b11*b162 + 
     21*b11*b163 + 23*b11*b164 + 5*b11*b165 + 21*b11*b166 + 5*b11*b167 + 9*b11*
     b171 + 17*b11*b172 + 11*b11*b173 + 3*b11*b175 + 26*b11*b176 + 15*b11*b178
      + 6*b11*b180 + 8*b11*b182 + 10*b11*b183 + 21*b11*b186 + 7*b11*b188 + 23*
     b11*b190 + 5*b11*b192 + 20*b11*b194 + 35*b11*b196 + 5*b11*b197 + 4*b11*
     b198 + 38*b11*b200 + 71*b11*b201 + 25*b11*b206 + 5*b11*b209 + 40*b11*b210
      + 30*b11*b211 + 19*b11*b212 + 37*b11*b217 + 72*b11*b218 + 95*b11*b219 + 8
     *b11*b220 + 88*b11*b221 + 50*b11*b223 + 11*b11*b226 + 28*b11*b227 + 7*b11*
     b229 + 57*b11*b230 + 15*b11*b232 + 62*b11*b234 + 16*b11*b238 + 31*b11*b244
      + 25*b11*b251 + 4*b11*b310 + 22*b11*b320 + 35*b11*b321 + 9*b11*b323 + 10*
     b11*b324 + 10*b11*b327 + 24*b11*b329 + 21*b11*b330 + 9*b11*b333 + 51*b11*
     b334 + 18*b11*b339 + 22*b11*b340 + 32*b11*b342 + 74*b11*b345 + 114*b11*
     b346 + 97*b11*b349 + 14*b11*b350 + 20*b11*b352 + 57*b11*b354 + 53*b11*b355
      + 134*b11*b356 + 7*b11*b358 + 15*b11*b359 + 11*b11*b362 + 56*b11*b363 + 6
     *b11*b366 + 35*b11*b367 + 35*b11*b369 + 55*b11*b370 + 16*b11*b372 + 5*b11*
     b373 + 50*b11*b375 + 4*b11*b376 + 17*b11*b378 + 7*b11*b382 + 109*b11*b386
      + 29*b11*b391 + 52*b11*b392 + 28*b11*b394 + 97*b11*b396 + 35*b11*b397 + 
     111*b11*b398 + 7*b11*b401 + 112*b11*b403 + 24*b11*b405 + 29*b11*b406 + 3*
     b11*b409 + 53*b11*b410 + 19*b11*b411 + 33*b11*b413 + 2*b11*b414 + 5*b11*
     b415 + 27*b11*b418 + 40*b11*b419 + 13*b11*b422 + 34*b11*b427 + 49*b11*b428
      + 23*b11*b429 + 21*b11*b432 + 20*b11*b433 + 29*b11*b437 + 22*b11*b438 + 
     20*b11*b442 + 66*b11*b444 + 35*b11*b451 + 12*b11*b456 + 5*b11*b458 + 14*
     b11*b461 + 10*b11*b465 + 44*b11*b467 + 14*b11*b471 + 36*b11*b472 + 22*b11*
     b476 + 2*b11*b479 + 2*b11*b481 + 7*b11*b483 + 90*b11*b484 + 10*b11*b487 + 
     4*b11*b488 + 18*b11*b493 + 7*b11*b494 + 23*b11*b496 + 25*b11*b501 + 35*b11
     *b502 + 35*b11*b503 + 94*b11*b504 + 40*b11*b505 + b11*b506 + 13*b11*b508
      + 89*b12*b50 + 166*b12 + 62*b12*b52 + 41*b12*b53 + b12*b54 + 10*b12*b55
      + 27*b12*b56 + 57*b12*b57 + 5*b12*b58 + 5*b12*b60 + 21*b12*b62 + b12*b63
      + 10*b12*b66 + 49*b12*b68 + 4*b12*b70 + 4*b12*b74 + 38*b12*b79 + 69*b12*
     b82 + 80*b12*b84 + 3*b12*b86 + 14*b12*b91 + 4*b12*b92 + 47*b12*b93 + 35*
     b12*b94 + 26*b12*b96 + 17*b12*b97 + 16*b12*b98 + 144*b12*b99 + 20*b12*b100
      + 14*b12*b101 + 85*b12*b102 + 33*b12*b104 + 20*b12*b105 + 33*b12*b106 + 
     24*b12*b108 + 31*b12*b111 + 22*b12*b112 + 5*b12*b119 + 28*b12*b120 + 44*
     b12*b123 + 62*b12*b124 + 155*b12*b125 + 95*b12*b128 + 11*b12*b129 + 16*b12
     *b131 + 17*b12*b133 + 7*b12*b135 + 61*b12*b137 + 55*b12*b141 + 21*b12*b145
      + 14*b12*b148 + 31*b12*b149 + 12*b12*b151 + 39*b12*b152 + 8*b12*b153 + 57
     *b12*b155 + 21*b12*b156 + 2*b12*b157 + 11*b12*b158 + 23*b12*b159 + b12*
     b160 + 20*b12*b161 + 46*b12*b162 + 56*b12*b164 + 8*b12*b165 + 18*b12*b167
      + b12*b168 + 106*b12*b169 + 18*b12*b171 + 87*b12*b172 + 20*b12*b174 + 27*
     b12*b175 + 51*b12*b179 + 13*b12*b180 + 5*b12*b182 + 5*b12*b183 + 26*b12*
     b187 + 12*b12*b188 + 20*b12*b189 + 4*b12*b190 + 10*b12*b191 + 38*b12*b192
      + 9*b12*b194 + 7*b12*b196 + 10*b12*b198 + 3*b12*b200 + 5*b12*b206 + 11*
     b12*b209 + 30*b12*b210 + 39*b12*b217 + 28*b12*b219 + 15*b12*b220 + 12*b12*
     b221 + 20*b12*b222 + 34*b12*b223 + 76*b12*b226 + 114*b12*b227 + 48*b12*
     b229 + 40*b12*b233 + 2*b12*b234 + 8*b12*b235 + 8*b12*b243 + 57*b12*b244 + 
     11*b12*b248 + 46*b12*b250 + 5*b12*b310 + 41*b12*b311 + 50*b12*b316 + 33*
     b12*b319 + 7*b12*b320 + 19*b12*b321 + b12*b322 + 80*b12*b325 + 37*b12*b326
      + 43*b12*b327 + 5*b12*b330 + 4*b12*b340 + 51*b12*b341 + 53*b12*b344 + 35*
     b12*b345 + 36*b12*b348 + 18*b12*b349 + 2*b12*b350 + 51*b12*b352 + 29*b12*
     b354 + 15*b12*b355 + 2*b12*b357 + 19*b12*b359 + 108*b12*b361 + 23*b12*b365
      + 26*b12*b366 + 20*b12*b368 + 48*b12*b372 + 46*b12*b373 + 25*b12*b374 + 5
     *b12*b375 + 9*b12*b376 + 31*b12*b377 + 6*b12*b378 + 2*b12*b380 + 2*b12*
     b382 + 25*b12*b383 + 15*b12*b388 + 36*b12*b391 + 19*b12*b392 + 25*b12*b393
      + 18*b12*b394 + 14*b12*b395 + 7*b12*b397 + 5*b12*b398 + 5*b12*b399 + 21*
     b12*b400 + 91*b12*b402 + 26*b12*b405 + 4*b12*b406 + 36*b12*b408 + 40*b12*
     b410 + 8*b12*b411 + 24*b12*b414 + 30*b12*b419 + 31*b12*b422 + 94*b12*b424
      + 37*b12*b425 + 9*b12*b426 + 105*b12*b427 + 45*b12*b428 + 34*b12*b432 + 
     13*b12*b434 + 47*b12*b435 + 67*b12*b436 + 16*b12*b440 + 5*b12*b441 + 13*
     b12*b442 + 3*b12*b444 + 23*b12*b445 + 4*b12*b446 + 40*b12*b451 + 78*b12*
     b453 + 64*b12*b458 + 22*b12*b461 + 15*b12*b462 + 5*b12*b469 + 5*b12*b474
      + 41*b12*b476 + 67*b12*b483 + 60*b12*b495 + 13*b12*b496 + 125*b12*b497 + 
     3*b12*b498 + 36*b12*b499 + 23*b12*b501 + 46*b12*b502 + 27*b12*b503 + 2*b12
     *b504 + 18*b12*b506 + 7*b12*b507 + 51*b13*b50 + 1207*b13 + 13*b13*b53 + 57
     *b13*b54 + b13*b57 + 6*b13*b58 + 37*b13*b59 + 3*b13*b60 + 7*b13*b61 + 4*
     b13*b63 + 5*b13*b64 + b13*b65 + 45*b13*b66 + 12*b13*b67 + 19*b13*b69 + 21*
     b13*b70 + 14*b13*b72 + 3*b13*b73 + 16*b13*b74 + 7*b13*b75 + 62*b13*b76 + 
     23*b13*b77 + 9*b13*b78 + 96*b13*b79 + 35*b13*b81 + 19*b13*b83 + 12*b13*b85
      + 10*b13*b86 + 22*b13*b87 + 65*b13*b89 + 6*b13*b90 + 50*b13*b91 + 13*b13*
     b92 + 7*b13*b95 + 23*b13*b97 + 20*b13*b99 + 18*b13*b100 + 19*b13*b101 + 26
     *b13*b102 + 82*b13*b103 + 17*b13*b104 + 40*b13*b105 + 17*b13*b106 + 13*b13
     *b110 + 2*b13*b111 + 2*b13*b112 + 16*b13*b113 + 9*b13*b114 + 16*b13*b116
      + 48*b13*b119 + 10*b13*b120 + 50*b13*b121 + 51*b13*b122 + 84*b13*b123 + 
     22*b13*b124 + 15*b13*b125 + 33*b13*b126 + 85*b13*b128 + 2*b13*b129 + 12*
     b13*b130 + 21*b13*b135 + 31*b13*b136 + 28*b13*b140 + 14*b13*b141 + 7*b13*
     b142 + 59*b13*b143 + 58*b13*b144 + 31*b13*b145 + 45*b13*b146 + 62*b13*b148
      + 116*b13*b149 + 29*b13*b152 + 43*b13*b153 + 5*b13*b154 + 24*b13*b155 + 
     18*b13*b156 + 22*b13*b158 + 65*b13*b163 + 122*b13*b164 + 31*b13*b168 + 45*
     b13*b169 + 49*b13*b170 + 13*b13*b172 + 60*b13*b173 + 42*b13*b174 + 4*b13*
     b175 + 27*b13*b177 + 4*b13*b178 + 36*b13*b180 + 72*b13*b181 + 11*b13*b182
      + 17*b13*b184 + 27*b13*b185 + 197*b13*b186 + 76*b13*b190 + 18*b13*b191 + 
     13*b13*b196 + 30*b13*b198 + 10*b13*b200 + 18*b13*b201 + 8*b13*b202 + 30*
     b13*b204 + 22*b13*b206 + 27*b13*b207 + 22*b13*b210 + 41*b13*b215 + 39*b13*
     b216 + 72*b13*b217 + 46*b13*b219 + 127*b13*b220 + 11*b13*b221 + 8*b13*b222
      + 41*b13*b223 + 12*b13*b225 + b13*b228 + 8*b13*b230 + 31*b13*b232 + 37*
     b13*b236 + 26*b13*b243 + 15*b13*b244 + 11*b13*b250 + 10*b13*b251 + 8*b13*
     b310 + 59*b13*b311 + 60*b13*b312 + 11*b13*b317 + 50*b13*b322 + 52*b13*b323
      + 2*b13*b328 + 58*b13*b332 + 77*b13*b334 + 21*b13*b340 + 3*b13*b341 + 47*
     b13*b348 + 26*b13*b349 + 22*b13*b350 + 35*b13*b352 + 66*b13*b353 + 36*b13*
     b354 + 53*b13*b358 + 67*b13*b359 + 79*b13*b360 + 69*b13*b361 + 5*b13*b364
      + 54*b13*b365 + 13*b13*b366 + 21*b13*b367 + 149*b13*b369 + b13*b371 + 19*
     b13*b372 + 9*b13*b373 + 83*b13*b375 + 2*b13*b376 + 9*b13*b378 + 20*b13*
     b379 + 70*b13*b380 + 38*b13*b381 + 12*b13*b383 + 19*b13*b390 + 11*b13*b391
      + 41*b13*b395 + 22*b13*b396 + 58*b13*b398 + 6*b13*b399 + 10*b13*b400 + 68
     *b13*b401 + 16*b13*b403 + 19*b13*b404 + 6*b13*b411 + 7*b13*b414 + 69*b13*
     b415 + 32*b13*b416 + 23*b13*b417 + 17*b13*b418 + 39*b13*b419 + 4*b13*b423
      + 27*b13*b428 + 10*b13*b432 + 2*b13*b436 + 20*b13*b438 + 14*b13*b442 + 5*
     b13*b443 + b13*b447 + 23*b13*b453 + 65*b13*b455 + 32*b13*b458 + 5*b13*b461
      + 38*b13*b471 + 24*b13*b472 + 16*b13*b475 + 15*b13*b476 + 14*b13*b481 + 
     46*b13*b487 + 8*b13*b489 + b13*b492 + 24*b13*b496 + 30*b13*b500 + b13*b505
      + 46*b13*b506 + 9*b13*b507 + 238*b13*b508 + 48*b14*b49 + 509*b14 + 6*b14*
     b51 + 7*b14*b60 + 31*b14*b61 + 28*b14*b62 + 2*b14*b66 + 20*b14*b67 + 36*
     b14*b68 + 8*b14*b69 + 38*b14*b70 + 13*b14*b72 + 10*b14*b74 + 37*b14*b76 + 
     25*b14*b77 + 35*b14*b80 + 8*b14*b82 + 8*b14*b84 + 5*b14*b85 + 35*b14*b86
      + 33*b14*b89 + 17*b14*b90 + 18*b14*b91 + 50*b14*b96 + 44*b14*b97 + 4*b14*
     b98 + 3*b14*b99 + 48*b14*b100 + 3*b14*b102 + 34*b14*b105 + 15*b14*b108 + 4
     *b14*b109 + 25*b14*b110 + 59*b14*b112 + 37*b14*b115 + 43*b14*b116 + 4*b14*
     b119 + 51*b14*b120 + 72*b14*b126 + 13*b14*b130 + 8*b14*b132 + 51*b14*b134
      + 21*b14*b140 + 63*b14*b142 + 23*b14*b147 + 58*b14*b149 + 11*b14*b152 + 
     11*b14*b153 + 17*b14*b155 + 36*b14*b156 + 11*b14*b158 + 70*b14*b163 + 19*
     b14*b166 + 3*b14*b167 + 31*b14*b168 + 21*b14*b170 + 15*b14*b171 + 64*b14*
     b173 + 30*b14*b174 + 110*b14*b180 + 9*b14*b182 + 32*b14*b184 + 90*b14*b185
      + 52*b14*b187 + 58*b14*b188 + 18*b14*b189 + 53*b14*b190 + 115*b14*b191 + 
     12*b14*b192 + 4*b14*b194 + 62*b14*b195 + 20*b14*b200 + 20*b14*b202 + 25*
     b14*b204 + 39*b14*b205 + 96*b14*b207 + 34*b14*b210 + b14*b212 + 4*b14*b213
      + 16*b14*b215 + 63*b14*b216 + 116*b14*b217 + 5*b14*b219 + 17*b14*b221 + 4
     *b14*b222 + 49*b14*b225 + 17*b14*b228 + 7*b14*b233 + 17*b14*b234 + 43*b14*
     b235 + 16*b14*b236 + 6*b14*b240 + 22*b14*b244 + 2*b14*b310 + 23*b14*b312
      + 14*b14*b313 + 6*b14*b314 + 26*b14*b315 + 21*b14*b316 + b14*b318 + 22*
     b14*b319 + 16*b14*b322 + 72*b14*b323 + 11*b14*b326 + 41*b14*b332 + 29*b14*
     b336 + 17*b14*b337 + 54*b14*b338 + 64*b14*b340 + 5*b14*b341 + 70*b14*b342
      + 73*b14*b344 + 92*b14*b345 + 16*b14*b346 + 13*b14*b347 + 19*b14*b350 + 
     57*b14*b352 + 73*b14*b353 + 21*b14*b354 + 7*b14*b356 + 62*b14*b357 + 96*
     b14*b358 + b14*b359 + 80*b14*b360 + 76*b14*b365 + 8*b14*b366 + 52*b14*b368
      + 41*b14*b372 + 3*b14*b373 + 3*b14*b374 + 68*b14*b375 + 35*b14*b378 + 35*
     b14*b379 + 11*b14*b380 + 8*b14*b383 + 87*b14*b384 + 12*b14*b387 + 28*b14*
     b388 + 85*b14*b394 + 15*b14*b396 + 6*b14*b397 + 3*b14*b399 + 69*b14*b401
      + 19*b14*b404 + 38*b14*b406 + 67*b14*b407 + 6*b14*b408 + 41*b14*b409 + 28
     *b14*b410 + 50*b14*b412 + 7*b14*b413 + 26*b14*b414 + 155*b14*b415 + 24*b14
     *b416 + 36*b14*b419 + 81*b14*b422 + 27*b14*b424 + 21*b14*b425 + 10*b14*
     b426 + 10*b14*b427 + 9*b14*b428 + 6*b14*b432 + 39*b14*b433 + 20*b14*b436
      + 100*b14*b442 + 22*b14*b444 + 72*b14*b445 + 41*b14*b448 + 28*b14*b452 + 
     48*b14*b454 + 32*b14*b455 + 80*b14*b457 + 90*b14*b460 + 57*b14*b461 + 7*
     b14*b466 + 39*b14*b467 + 13*b14*b468 + 45*b14*b469 + 3*b14*b471 + 36*b14*
     b472 + 13*b14*b476 + 31*b14*b478 + 42*b14*b482 + b14*b486 + 4*b14*b487 + 
     b14*b490 + 57*b14*b491 + 31*b14*b493 + 6*b14*b495 + 42*b14*b497 + 31*b14*
     b498 + 28*b14*b505 + 56*b14*b507 + 52*b14*b508 + 26*b14*b510 + 3*b15*b51
      + 1326*b15 + 94*b15*b52 + 9*b15*b54 + 5*b15*b56 + 20*b15*b57 + 23*b15*b58
      + 31*b15*b59 + 20*b15*b61 + 24*b15*b63 + 15*b15*b65 + 18*b15*b66 + b15*
     b68 + b15*b69 + 6*b15*b74 + 82*b15*b75 + 9*b15*b76 + 68*b15*b78 + 29*b15*
     b80 + 42*b15*b83 + 8*b15*b85 + 22*b15*b87 + 56*b15*b88 + 6*b15*b89 + 41*
     b15*b90 + 64*b15*b91 + 23*b15*b92 + 42*b15*b93 + 49*b15*b99 + 20*b15*b100
      + 3*b15*b101 + 14*b15*b103 + 3*b15*b107 + 47*b15*b111 + 17*b15*b115 + 2*
     b15*b116 + 50*b15*b117 + 31*b15*b118 + 2*b15*b119 + 68*b15*b121 + 43*b15*
     b122 + 42*b15*b124 + 24*b15*b126 + 19*b15*b129 + 33*b15*b131 + b15*b132 + 
     13*b15*b134 + 8*b15*b135 + 76*b15*b136 + 51*b15*b137 + 34*b15*b140 + 20*
     b15*b143 + 9*b15*b144 + 49*b15*b146 + 41*b15*b147 + 23*b15*b148 + 42*b15*
     b153 + 51*b15*b154 + b15*b158 + 8*b15*b159 + 8*b15*b162 + 15*b15*b163 + 32
     *b15*b165 + 82*b15*b166 + 11*b15*b167 + 42*b15*b169 + 26*b15*b170 + 33*b15
     *b171 + 34*b15*b173 + 15*b15*b175 + 97*b15*b178 + b15*b180 + 32*b15*b181
      + 38*b15*b182 + 35*b15*b186 + 11*b15*b188 + 40*b15*b189 + 22*b15*b191 + 
     32*b15*b192 + 7*b15*b194 + 72*b15*b196 + 20*b15*b198 + 9*b15*b199 + 4*b15*
     b201 + 22*b15*b202 + 8*b15*b204 + 8*b15*b205 + 6*b15*b207 + 3*b15*b210 + 5
     *b15*b213 + 28*b15*b214 + 2*b15*b215 + 2*b15*b217 + 3*b15*b220 + 121*b15*
     b223 + 6*b15*b225 + 174*b15*b226 + 8*b15*b227 + 17*b15*b228 + 12*b15*b229
      + 30*b15*b230 + 30*b15*b233 + 27*b15*b235 + 92*b15*b240 + 93*b15*b241 + 
     46*b15*b242 + 18*b15*b245 + b15*b250 + 20*b15*b251 + 7*b15*b310 + 49*b15*
     b311 + 44*b15*b313 + 26*b15*b317 + 15*b15*b319 + 57*b15*b321 + 24*b15*b322
      + 4*b15*b323 + 30*b15*b324 + b15*b326 + 2*b15*b328 + 5*b15*b332 + 59*b15*
     b333 + 82*b15*b334 + 64*b15*b337 + 48*b15*b338 + 45*b15*b339 + 37*b15*b340
      + 39*b15*b342 + 80*b15*b347 + 19*b15*b350 + 105*b15*b351 + b15*b354 + 62*
     b15*b355 + 6*b15*b356 + 20*b15*b358 + 37*b15*b359 + 4*b15*b365 + 24*b15*
     b366 + 4*b15*b367 + 57*b15*b378 + 24*b15*b379 + 9*b15*b381 + 24*b15*b382
      + 10*b15*b383 + 15*b15*b386 + 29*b15*b388 + 13*b15*b390 + 26*b15*b391 + 2
     *b15*b392 + 15*b15*b393 + 23*b15*b396 + 7*b15*b397 + 6*b15*b398 + 27*b15*
     b399 + 151*b15*b400 + 3*b15*b410 + 19*b15*b412 + 9*b15*b414 + 41*b15*b419
      + 56*b15*b423 + 104*b15*b426 + 9*b15*b428 + 17*b15*b429 + 3*b15*b431 + 35
     *b15*b432 + 54*b15*b433 + 24*b15*b435 + 86*b15*b437 + 6*b15*b439 + 9*b15*
     b442 + 13*b15*b448 + 10*b15*b449 + 42*b15*b456 + 3*b15*b461 + 3*b15*b463
      + 11*b15*b470 + 2*b15*b471 + 8*b15*b472 + 151*b15*b473 + 6*b15*b479 + 23*
     b15*b480 + 35*b15*b482 + 33*b15*b483 + 9*b15*b484 + 17*b15*b485 + 25*b15*
     b486 + 35*b15*b487 + 24*b15*b488 + 17*b15*b489 + 3*b15*b492 + 56*b15*b494
      + 34*b15*b495 + 18*b15*b499 + 12*b15*b501 + b15*b505 + 6*b16*b49 + 1590*
     b16 + 5*b16*b50 + 28*b16*b53 + 41*b16*b58 + b16*b59 + 46*b16*b62 + 93*b16*
     b64 + 12*b16*b66 + 78*b16*b69 + 17*b16*b70 + 65*b16*b71 + 102*b16*b74 + 2*
     b16*b75 + 3*b16*b76 + 10*b16*b78 + 11*b16*b79 + 5*b16*b83 + 17*b16*b85 + 
     22*b16*b86 + 32*b16*b87 + 24*b16*b88 + 50*b16*b90 + 23*b16*b91 + 62*b16*
     b92 + 7*b16*b94 + 19*b16*b98 + 50*b16*b101 + 30*b16*b102 + 60*b16*b105 + 
     18*b16*b107 + 5*b16*b110 + 17*b16*b111 + 32*b16*b114 + 46*b16*b115 + 48*
     b16*b116 + 21*b16*b118 + 10*b16*b119 + 50*b16*b121 + 37*b16*b122 + 12*b16*
     b123 + 5*b16*b124 + 13*b16*b126 + 26*b16*b128 + 39*b16*b129 + 34*b16*b131
      + 7*b16*b132 + 67*b16*b133 + 78*b16*b134 + 23*b16*b135 + 20*b16*b136 + 6*
     b16*b142 + 4*b16*b143 + 23*b16*b144 + 57*b16*b146 + 16*b16*b148 + 9*b16*
     b149 + 31*b16*b152 + 39*b16*b153 + 48*b16*b155 + 30*b16*b157 + 10*b16*b159
      + 8*b16*b164 + 34*b16*b167 + 30*b16*b168 + 19*b16*b169 + 8*b16*b170 + 14*
     b16*b171 + 16*b16*b173 + 12*b16*b174 + 4*b16*b175 + 116*b16*b177 + 26*b16*
     b178 + 63*b16*b179 + 30*b16*b180 + 18*b16*b182 + 21*b16*b183 + 50*b16*b185
      + 12*b16*b187 + 34*b16*b188 + 25*b16*b190 + 19*b16*b192 + 37*b16*b194 + 
     27*b16*b195 + 21*b16*b198 + 75*b16*b200 + 30*b16*b202 + 65*b16*b203 + 113*
     b16*b204 + 14*b16*b210 + 28*b16*b213 + 22*b16*b214 + 147*b16*b219 + 66*b16
     *b221 + 21*b16*b222 + 39*b16*b226 + 16*b16*b232 + 24*b16*b233 + b16*b234
      + 6*b16*b235 + 17*b16*b244 + 6*b16*b251 + 4*b16*b310 + 4*b16*b312 + 70*
     b16*b314 + 47*b16*b315 + 28*b16*b318 + 25*b16*b320 + 27*b16*b321 + 15*b16*
     b322 + 10*b16*b323 + 27*b16*b326 + 26*b16*b327 + 7*b16*b328 + 29*b16*b329
      + 12*b16*b333 + 10*b16*b335 + 10*b16*b337 + 114*b16*b338 + 35*b16*b339 + 
     6*b16*b340 + 31*b16*b341 + 44*b16*b342 + 80*b16*b346 + 30*b16*b347 + 12*
     b16*b350 + 4*b16*b352 + 66*b16*b353 + 7*b16*b354 + 114*b16*b356 + 3*b16*
     b358 + 15*b16*b359 + 22*b16*b360 + 8*b16*b361 + 32*b16*b365 + 8*b16*b366
      + 16*b16*b368 + b16*b369 + 2*b16*b370 + 7*b16*b372 + 35*b16*b373 + 34*b16
     *b376 + 2*b16*b377 + 13*b16*b378 + 13*b16*b379 + 12*b16*b380 + b16*b382 + 
     25*b16*b383 + 4*b16*b384 + 7*b16*b386 + 31*b16*b387 + 117*b16*b388 + 14*
     b16*b390 + 57*b16*b391 + 6*b16*b395 + 15*b16*b399 + 9*b16*b400 + 52*b16*
     b401 + 26*b16*b402 + 82*b16*b403 + 3*b16*b404 + 21*b16*b408 + 18*b16*b414
      + 49*b16*b416 + b16*b421 + 24*b16*b422 + 36*b16*b425 + 48*b16*b428 + 5*
     b16*b435 + 14*b16*b439 + 2*b16*b442 + 13*b16*b445 + 39*b16*b446 + 10*b16*
     b450 + 19*b16*b452 + 28*b16*b453 + 88*b16*b454 + 35*b16*b458 + 18*b16*b461
      + 17*b16*b462 + 26*b16*b465 + 13*b16*b469 + 85*b16*b470 + 25*b16*b471 + 
     125*b16*b472 + 78*b16*b477 + 23*b16*b483 + 54*b16*b485 + 2*b16*b486 + b16*
     b487 + 33*b16*b494 + 129*b16*b496 + 23*b16*b499 + b16*b502 + 32*b16*b508
      + 2*b17*b52 + 1227*b17 + 5*b17*b55 + 39*b17*b56 + 86*b17*b58 + 7*b17*b59
      + 38*b17*b60 + 7*b17*b61 + 65*b17*b63 + 17*b17*b66 + 10*b17*b69 + 9*b17*
     b70 + 122*b17*b71 + 8*b17*b72 + 38*b17*b78 + 33*b17*b79 + 44*b17*b80 + 12*
     b17*b83 + 15*b17*b86 + 7*b17*b87 + 16*b17*b90 + 66*b17*b91 + 65*b17*b92 + 
     8*b17*b93 + b17*b95 + 28*b17*b96 + 61*b17*b98 + 44*b17*b100 + 9*b17*b102
      + 12*b17*b105 + 34*b17*b107 + 49*b17*b108 + 8*b17*b113 + 105*b17*b114 + 
     28*b17*b115 + 14*b17*b116 + 18*b17*b117 + 108*b17*b120 + 23*b17*b122 + 54*
     b17*b123 + 45*b17*b126 + 4*b17*b127 + 7*b17*b129 + 68*b17*b133 + 7*b17*
     b134 + 47*b17*b137 + 8*b17*b138 + 45*b17*b143 + 38*b17*b147 + 45*b17*b148
      + 9*b17*b149 + 14*b17*b152 + 4*b17*b154 + 28*b17*b155 + 24*b17*b157 + 192
     *b17*b159 + 22*b17*b160 + 157*b17*b162 + 69*b17*b165 + 33*b17*b167 + 14*
     b17*b169 + 38*b17*b170 + 9*b17*b171 + 11*b17*b172 + 4*b17*b173 + 86*b17*
     b177 + 55*b17*b179 + 68*b17*b180 + 15*b17*b183 + 76*b17*b185 + 20*b17*b188
      + 17*b17*b189 + 2*b17*b191 + 98*b17*b195 + 28*b17*b196 + 64*b17*b199 + 26
     *b17*b200 + 44*b17*b202 + 26*b17*b203 + 24*b17*b207 + 16*b17*b208 + 20*b17
     *b211 + 12*b17*b212 + 67*b17*b213 + 29*b17*b214 + 151*b17*b216 + 18*b17*
     b217 + 2*b17*b218 + 3*b17*b221 + 3*b17*b226 + 8*b17*b228 + 15*b17*b229 + 
     15*b17*b232 + 16*b17*b233 + 6*b17*b238 + 17*b17*b244 + 8*b17*b247 + 142*
     b17*b248 + 9*b17*b250 + 37*b17*b251 + 51*b17*b258 + 4*b17*b310 + 7*b17*
     b311 + 36*b17*b313 + 39*b17*b314 + 30*b17*b315 + 5*b17*b317 + 4*b17*b319
      + 46*b17*b320 + b17*b321 + 4*b17*b325 + 69*b17*b326 + 32*b17*b328 + 6*b17
     *b329 + 86*b17*b332 + 26*b17*b333 + 35*b17*b335 + 38*b17*b336 + 8*b17*b337
      + 45*b17*b338 + 51*b17*b339 + 12*b17*b342 + 13*b17*b344 + 13*b17*b347 + 
     16*b17*b348 + 22*b17*b350 + 18*b17*b352 + 31*b17*b355 + 39*b17*b356 + b17*
     b357 + 3*b17*b359 + 38*b17*b361 + 23*b17*b362 + 37*b17*b365 + 74*b17*b368
      + 15*b17*b371 + 6*b17*b372 + 15*b17*b373 + 20*b17*b376 + 2*b17*b379 + 101
     *b17*b381 + 49*b17*b384 + 25*b17*b386 + 20*b17*b387 + 10*b17*b388 + 92*b17
     *b389 + 39*b17*b391 + 14*b17*b392 + 17*b17*b393 + 27*b17*b399 + 9*b17*b404
      + 29*b17*b405 + b17*b409 + 10*b17*b417 + 16*b17*b420 + 24*b17*b422 + 9*
     b17*b423 + 82*b17*b425 + 24*b17*b427 + 3*b17*b428 + 2*b17*b429 + 20*b17*
     b433 + 37*b17*b435 + 46*b17*b436 + 19*b17*b443 + 6*b17*b444 + 171*b17*b446
      + 92*b17*b449 + 7*b17*b452 + 4*b17*b453 + 50*b17*b454 + 16*b17*b457 + 31*
     b17*b458 + 4*b17*b459 + 103*b17*b461 + 14*b17*b462 + 11*b17*b464 + 4*b17*
     b465 + 16*b17*b466 + 21*b17*b468 + 59*b17*b469 + 42*b17*b471 + 6*b17*b481
      + 19*b17*b482 + 8*b17*b483 + 19*b17*b486 + 5*b17*b487 + 4*b17*b488 + 3*
     b17*b490 + 16*b17*b491 + 50*b17*b492 + 15*b17*b498 + 110*b17*b502 + 13*b17
     *b503 + 10*b17*b504 + 69*b17*b507 + 9*b17*b510 + 2*b18*b50 + 645*b18 + 28*
     b18*b51 + 9*b18*b52 + 46*b18*b56 + 6*b18*b61 + 68*b18*b63 + 4*b18*b66 + 18
     *b18*b67 + 88*b18*b68 + 75*b18*b69 + 7*b18*b72 + 55*b18*b74 + 9*b18*b77 + 
     47*b18*b79 + 6*b18*b81 + 30*b18*b82 + 24*b18*b83 + 48*b18*b84 + 30*b18*b87
      + 13*b18*b91 + 3*b18*b93 + 28*b18*b95 + 20*b18*b97 + 12*b18*b99 + 3*b18*
     b104 + 11*b18*b106 + 44*b18*b107 + 17*b18*b108 + 10*b18*b111 + 12*b18*b113
      + 13*b18*b116 + 32*b18*b117 + 26*b18*b118 + 13*b18*b119 + 18*b18*b120 + 7
     *b18*b123 + 18*b18*b125 + b18*b126 + 3*b18*b127 + 8*b18*b128 + 9*b18*b129
      + 30*b18*b131 + 28*b18*b137 + 17*b18*b139 + 30*b18*b142 + 5*b18*b144 + 56
     *b18*b146 + 19*b18*b149 + 24*b18*b151 + 50*b18*b154 + 6*b18*b156 + 24*b18*
     b158 + 11*b18*b159 + 9*b18*b160 + 26*b18*b161 + 42*b18*b162 + 59*b18*b167
      + 5*b18*b168 + 24*b18*b169 + 10*b18*b171 + 42*b18*b172 + 29*b18*b175 + 8*
     b18*b176 + 6*b18*b178 + 98*b18*b179 + 18*b18*b180 + 4*b18*b182 + 27*b18*
     b184 + 16*b18*b185 + 5*b18*b187 + 18*b18*b188 + 18*b18*b189 + 6*b18*b190
      + 37*b18*b199 + 82*b18*b200 + 34*b18*b201 + 9*b18*b202 + 5*b18*b205 + 25*
     b18*b206 + 50*b18*b207 + 12*b18*b208 + 16*b18*b211 + 11*b18*b216 + 6*b18*
     b218 + 8*b18*b219 + 65*b18*b220 + 38*b18*b221 + 18*b18*b225 + 24*b18*b226
      + 33*b18*b229 + 2*b18*b230 + 11*b18*b232 + 7*b18*b234 + 8*b18*b240 + 21*
     b18*b241 + 34*b18*b243 + 40*b18*b247 + 3*b18*b248 + 16*b18*b251 + 7*b18*
     b310 + 9*b18*b311 + 6*b18*b313 + 35*b18*b314 + 23*b18*b315 + 22*b18*b316
      + 16*b18*b317 + b18*b322 + 51*b18*b324 + 11*b18*b325 + 39*b18*b329 + 12*
     b18*b330 + 56*b18*b332 + 18*b18*b334 + b18*b336 + 15*b18*b339 + 3*b18*b340
      + 5*b18*b344 + 21*b18*b345 + 95*b18*b346 + 3*b18*b348 + 74*b18*b349 + 16*
     b18*b350 + b18*b351 + 20*b18*b352 + 67*b18*b354 + 119*b18*b356 + 14*b18*
     b359 + 34*b18*b361 + 11*b18*b363 + 12*b18*b368 + 48*b18*b370 + 7*b18*b371
      + 10*b18*b373 + b18*b386 + 12*b18*b387 + 5*b18*b388 + 45*b18*b390 + 21*
     b18*b391 + b18*b392 + 11*b18*b393 + 6*b18*b394 + 70*b18*b395 + 33*b18*b396
      + 183*b18*b397 + 96*b18*b398 + 8*b18*b400 + b18*b404 + 4*b18*b405 + 2*b18
     *b406 + 7*b18*b407 + 91*b18*b410 + 39*b18*b411 + 10*b18*b416 + 29*b18*b417
      + 8*b18*b418 + 28*b18*b419 + 145*b18*b420 + 27*b18*b421 + 29*b18*b422 + 
     50*b18*b427 + 2*b18*b429 + 54*b18*b432 + 5*b18*b436 + 8*b18*b437 + 8*b18*
     b446 + 29*b18*b450 + 28*b18*b454 + 38*b18*b456 + 49*b18*b457 + 20*b18*b460
      + 23*b18*b461 + 9*b18*b462 + 38*b18*b464 + 13*b18*b466 + 108*b18*b468 + 
     13*b18*b470 + 39*b18*b472 + 3*b18*b473 + 4*b18*b474 + 20*b18*b476 + 3*b18*
     b477 + 4*b18*b479 + 24*b18*b481 + 106*b18*b484 + 8*b18*b486 + 5*b18*b488
      + 34*b18*b489 + 79*b18*b490 + 32*b18*b493 + 34*b18*b496 + 8*b18*b502 + 18
     *b18*b503 + 72*b18*b504 + 40*b18*b505 + 11*b18*b506 + 53*b19*b49 + 1494*
     b19 + 11*b19*b58 + 8*b19*b60 + 14*b19*b64 + 9*b19*b65 + 44*b19*b68 + 25*
     b19*b69 + 9*b19*b71 + 31*b19*b72 + 11*b19*b75 + 14*b19*b76 + 8*b19*b79 + 
     45*b19*b80 + 18*b19*b83 + 8*b19*b84 + 94*b19*b85 + 48*b19*b86 + 17*b19*b92
      + 9*b19*b95 + 18*b19*b96 + 13*b19*b97 + 33*b19*b100 + 25*b19*b101 + 21*
     b19*b104 + 6*b19*b107 + 25*b19*b112 + 58*b19*b118 + 18*b19*b120 + 41*b19*
     b121 + 27*b19*b125 + 14*b19*b126 + 19*b19*b132 + 25*b19*b133 + 31*b19*b134
      + 35*b19*b137 + 12*b19*b147 + 6*b19*b149 + 104*b19*b151 + 85*b19*b152 + 
     21*b19*b153 + 149*b19*b155 + 6*b19*b157 + 29*b19*b158 + 26*b19*b159 + 10*
     b19*b161 + 12*b19*b162 + 16*b19*b164 + 81*b19*b166 + 6*b19*b167 + 7*b19*
     b169 + 14*b19*b170 + 26*b19*b171 + 4*b19*b173 + 13*b19*b177 + 15*b19*b179
      + 15*b19*b183 + 24*b19*b191 + 12*b19*b192 + 3*b19*b195 + 15*b19*b198 + 4*
     b19*b201 + 3*b19*b204 + 9*b19*b207 + 51*b19*b208 + 18*b19*b210 + 31*b19*
     b211 + 2*b19*b213 + 7*b19*b216 + 8*b19*b217 + 12*b19*b218 + 14*b19*b219 + 
     b19*b220 + 92*b19*b223 + 80*b19*b226 + 46*b19*b227 + 87*b19*b228 + 2*b19*
     b230 + 16*b19*b238 + 39*b19*b239 + 20*b19*b240 + 5*b19*b241 + 25*b19*b242
      + 5*b19*b244 + 12*b19*b247 + 12*b19*b250 + 4*b19*b310 + 27*b19*b312 + 141
     *b19*b313 + 23*b19*b314 + 51*b19*b315 + 21*b19*b316 + 20*b19*b317 + 9*b19*
     b318 + 2*b19*b320 + 5*b19*b321 + 40*b19*b323 + 8*b19*b324 + 39*b19*b326 + 
     11*b19*b329 + 51*b19*b330 + 55*b19*b331 + 44*b19*b332 + 7*b19*b334 + 16*
     b19*b335 + 12*b19*b336 + 27*b19*b338 + 24*b19*b340 + 143*b19*b341 + 29*b19
     *b342 + 16*b19*b343 + b19*b345 + 126*b19*b350 + 5*b19*b352 + 32*b19*b354
      + 23*b19*b355 + 20*b19*b356 + 37*b19*b357 + 31*b19*b358 + 99*b19*b362 + 
     16*b19*b365 + 18*b19*b368 + 18*b19*b369 + 34*b19*b374 + 26*b19*b375 + 13*
     b19*b376 + 106*b19*b379 + 19*b19*b381 + 34*b19*b385 + 8*b19*b386 + 3*b19*
     b388 + 12*b19*b389 + 4*b19*b392 + 68*b19*b393 + 25*b19*b394 + 71*b19*b399
      + 116*b19*b400 + 28*b19*b401 + 48*b19*b402 + b19*b406 + 31*b19*b409 + 19*
     b19*b410 + 22*b19*b411 + 14*b19*b412 + 2*b19*b413 + 9*b19*b414 + 52*b19*
     b416 + 22*b19*b417 + 13*b19*b418 + 51*b19*b419 + 69*b19*b422 + 87*b19*b423
      + 47*b19*b426 + 80*b19*b427 + 65*b19*b428 + 54*b19*b429 + 49*b19*b433 + 
     66*b19*b436 + 52*b19*b437 + 27*b19*b440 + 16*b19*b442 + 36*b19*b443 + 5*
     b19*b444 + 21*b19*b446 + 20*b19*b448 + 21*b19*b449 + 51*b19*b450 + 112*b19
     *b451 + 40*b19*b452 + 31*b19*b453 + 28*b19*b455 + 16*b19*b457 + 8*b19*b459
      + 38*b19*b460 + 29*b19*b461 + 7*b19*b462 + 14*b19*b472 + 14*b19*b475 + 47
     *b19*b476 + 14*b19*b480 + 23*b19*b481 + 11*b19*b482 + 54*b19*b483 + 47*b19
     *b484 + 22*b19*b486 + 149*b19*b488 + 36*b19*b491 + 6*b19*b492 + 21*b19*
     b494 + 7*b19*b495 + 23*b19*b497 + 130*b19*b498 + 16*b19*b501 + 12*b19*b502
      + 5*b19*b508 + 25*b19*b509 + 34*b20*b51 + 2484*b20 + 18*b20*b58 + 237*b20
     *b59 + 21*b20*b61 + 5*b20*b64 + 11*b20*b66 + 40*b20*b67 + 3*b20*b71 + 17*
     b20*b78 + 29*b20*b79 + 4*b20*b80 + 35*b20*b82 + 91*b20*b84 + 3*b20*b85 + 
     129*b20*b87 + 15*b20*b89 + 11*b20*b97 + 39*b20*b98 + 90*b20*b99 + 13*b20*
     b101 + 29*b20*b102 + 4*b20*b108 + 14*b20*b114 + 46*b20*b116 + 43*b20*b118
      + 6*b20*b119 + 35*b20*b122 + 28*b20*b123 + 104*b20*b124 + 114*b20*b125 + 
     40*b20*b126 + 8*b20*b127 + 14*b20*b128 + 29*b20*b129 + 8*b20*b133 + 9*b20*
     b134 + 38*b20*b135 + 5*b20*b136 + 39*b20*b137 + 12*b20*b138 + 36*b20*b139
      + 46*b20*b140 + 13*b20*b142 + 4*b20*b143 + 66*b20*b148 + 5*b20*b151 + 5*
     b20*b152 + 17*b20*b155 + 43*b20*b158 + 26*b20*b160 + 25*b20*b162 + 3*b20*
     b163 + 29*b20*b165 + 28*b20*b167 + 20*b20*b168 + 4*b20*b174 + 128*b20*b175
      + 5*b20*b176 + 30*b20*b177 + 27*b20*b184 + 2*b20*b187 + 12*b20*b191 + 20*
     b20*b192 + 7*b20*b195 + 8*b20*b201 + 8*b20*b205 + 13*b20*b207 + 51*b20*
     b208 + 29*b20*b210 + 27*b20*b211 + 7*b20*b214 + 2*b20*b215 + 4*b20*b216 + 
     8*b20*b217 + 5*b20*b223 + 10*b20*b225 + 15*b20*b227 + 53*b20*b228 + 11*b20
     *b230 + 2*b20*b231 + 8*b20*b233 + 24*b20*b235 + 3*b20*b239 + 21*b20*b241
      + 51*b20*b248 + 4*b20*b250 + 37*b20*b251 + 8*b20*b258 + 5*b20*b310 + 127*
     b20*b311 + 57*b20*b312 + 48*b20*b313 + 17*b20*b314 + 6*b20*b315 + 12*b20*
     b317 + 27*b20*b318 + 4*b20*b322 + 33*b20*b324 + 70*b20*b325 + 39*b20*b326
      + 15*b20*b330 + 19*b20*b331 + 32*b20*b332 + 45*b20*b336 + 51*b20*b337 + 
     34*b20*b338 + 17*b20*b339 + 14*b20*b341 + 27*b20*b342 + 52*b20*b344 + 43*
     b20*b348 + 29*b20*b351 + 110*b20*b352 + 7*b20*b356 + 9*b20*b357 + 5*b20*
     b361 + 36*b20*b363 + 2*b20*b364 + 128*b20*b366 + 6*b20*b367 + 6*b20*b368
      + 13*b20*b369 + 7*b20*b373 + 22*b20*b375 + 22*b20*b384 + 22*b20*b388 + 21
     *b20*b390 + 59*b20*b391 + 14*b20*b392 + 28*b20*b393 + 29*b20*b395 + 9*b20*
     b396 + 30*b20*b399 + 5*b20*b400 + 56*b20*b401 + 76*b20*b405 + b20*b407 + 
     48*b20*b408 + 2*b20*b409 + 54*b20*b411 + 13*b20*b414 + 17*b20*b415 + 40*
     b20*b417 + b20*b419 + 104*b20*b422 + 42*b20*b424 + 11*b20*b426 + 34*b20*
     b430 + 12*b20*b431 + 51*b20*b433 + 2*b20*b434 + 4*b20*b435 + 81*b20*b436
      + 12*b20*b438 + 29*b20*b443 + 33*b20*b445 + 4*b20*b448 + 43*b20*b449 + 23
     *b20*b450 + 33*b20*b451 + 39*b20*b452 + 15*b20*b454 + b20*b455 + b20*b456
      + 3*b20*b458 + 8*b20*b459 + 10*b20*b461 + 27*b20*b463 + 4*b20*b464 + 11*
     b20*b468 + 17*b20*b470 + 51*b20*b471 + 35*b20*b472 + 29*b20*b474 + 29*b20*
     b475 + 38*b20*b477 + 26*b20*b480 + 34*b20*b484 + 4*b20*b485 + 62*b20*b486
      + b20*b488 + 16*b20*b489 + 49*b20*b494 + 12*b20*b495 + 6*b20*b499 + 2*b20
     *b500 + 83*b20*b501 + 3*b20*b504 + 10*b20*b506 + 14*b20*b508 + 24*b21*b51
      + 359*b21 + 31*b21*b53 + 39*b21*b54 + 9*b21*b56 + 7*b21*b57 + 45*b21*b60
      + 77*b21*b63 + 74*b21*b65 + 2*b21*b66 + 53*b21*b67 + 84*b21*b68 + 9*b21*
     b69 + 13*b21*b72 + 119*b21*b73 + 24*b21*b76 + 6*b21*b77 + 45*b21*b78 + 42*
     b21*b79 + 61*b21*b80 + 2*b21*b82 + 26*b21*b83 + 69*b21*b84 + 20*b21*b87 + 
     27*b21*b92 + 68*b21*b93 + 6*b21*b95 + b21*b98 + 3*b21*b99 + 73*b21*b100 + 
     10*b21*b101 + 7*b21*b107 + 7*b21*b108 + 9*b21*b113 + 105*b21*b118 + 20*b21
     *b120 + 27*b21*b124 + 13*b21*b126 + 55*b21*b128 + 72*b21*b129 + 6*b21*b130
      + 9*b21*b131 + 16*b21*b132 + 32*b21*b135 + 24*b21*b137 + 84*b21*b138 + 4*
     b21*b139 + 18*b21*b140 + 36*b21*b141 + 29*b21*b142 + 22*b21*b144 + 34*b21*
     b149 + 13*b21*b150 + 38*b21*b152 + 26*b21*b153 + 31*b21*b154 + 12*b21*b158
      + 39*b21*b159 + 11*b21*b160 + 65*b21*b162 + 22*b21*b163 + 50*b21*b165 + 
     23*b21*b175 + 68*b21*b176 + 40*b21*b177 + 9*b21*b178 + 13*b21*b182 + 8*b21
     *b183 + 89*b21*b184 + 22*b21*b187 + 32*b21*b189 + 22*b21*b191 + 35*b21*
     b192 + 17*b21*b195 + 23*b21*b196 + 35*b21*b197 + 46*b21*b201 + 38*b21*b203
      + b21*b205 + 28*b21*b207 + 10*b21*b209 + 67*b21*b210 + 22*b21*b211 + 24*
     b21*b212 + 104*b21*b213 + 61*b21*b215 + 17*b21*b217 + 38*b21*b218 + 10*b21
     *b219 + 7*b21*b229 + b21*b230 + 3*b21*b231 + 25*b21*b232 + 23*b21*b235 + 
     58*b21*b241 + 70*b21*b243 + 7*b21*b258 + 5*b21*b310 + 51*b21*b311 + 44*b21
     *b312 + 21*b21*b316 + 111*b21*b317 + 92*b21*b319 + 46*b21*b320 + b21*b323
      + 54*b21*b324 + 26*b21*b325 + 10*b21*b326 + 20*b21*b327 + 21*b21*b329 + 
     b21*b330 + 63*b21*b331 + 7*b21*b332 + 10*b21*b333 + 29*b21*b336 + 42*b21*
     b337 + 39*b21*b338 + 74*b21*b339 + 40*b21*b341 + 2*b21*b343 + 102*b21*b345
      + 56*b21*b346 + 13*b21*b347 + 20*b21*b349 + 15*b21*b351 + 31*b21*b352 + 
     55*b21*b356 + 37*b21*b357 + 30*b21*b359 + 74*b21*b361 + 14*b21*b362 + 52*
     b21*b363 + 14*b21*b364 + 11*b21*b366 + 77*b21*b367 + 47*b21*b368 + 28*b21*
     b373 + 10*b21*b374 + 6*b21*b375 + 9*b21*b381 + 23*b21*b382 + 29*b21*b384
      + 150*b21*b385 + 32*b21*b386 + 5*b21*b387 + 73*b21*b389 + 45*b21*b390 + 
     31*b21*b391 + 22*b21*b392 + 61*b21*b394 + 114*b21*b395 + 31*b21*b396 + 24*
     b21*b402 + 19*b21*b404 + 37*b21*b409 + 56*b21*b410 + 79*b21*b411 + 27*b21*
     b412 + 25*b21*b417 + 27*b21*b418 + 17*b21*b422 + 39*b21*b429 + 2*b21*b430
      + 39*b21*b432 + 8*b21*b433 + 12*b21*b436 + 7*b21*b437 + 44*b21*b440 + 4*
     b21*b442 + 3*b21*b447 + 31*b21*b448 + 25*b21*b449 + 40*b21*b451 + 68*b21*
     b452 + 53*b21*b456 + 27*b21*b458 + 26*b21*b460 + b21*b461 + 5*b21*b466 + 2
     *b21*b467 + 2*b21*b468 + 124*b21*b471 + 74*b21*b472 + 32*b21*b474 + 35*b21
     *b475 + 7*b21*b476 + 20*b21*b479 + 72*b21*b480 + 101*b21*b484 + 10*b21*
     b487 + 24*b21*b488 + 5*b21*b493 + 73*b21*b494 + 35*b21*b500 + 52*b21*b501
      + 2*b21*b503 + 32*b21*b504 + 51*b21*b505 + 18*b22*b50 + 319*b22 + 38*b22*
     b53 + 8*b22*b54 + 2*b22*b59 + 23*b22*b61 + 12*b22*b62 + 23*b22*b63 + 59*
     b22*b66 + 27*b22*b68 + 13*b22*b69 + 20*b22*b70 + 7*b22*b72 + 27*b22*b73 + 
     b22*b77 + 67*b22*b81 + 24*b22*b82 + 40*b22*b83 + 6*b22*b85 + 29*b22*b86 + 
     7*b22*b88 + 13*b22*b90 + 55*b22*b93 + 54*b22*b95 + 74*b22*b97 + 87*b22*b98
      + 17*b22*b99 + 23*b22*b101 + 7*b22*b102 + b22*b103 + 23*b22*b104 + 14*b22
     *b105 + 14*b22*b106 + 16*b22*b107 + 30*b22*b108 + 9*b22*b109 + 13*b22*b112
      + 25*b22*b113 + 9*b22*b116 + 52*b22*b119 + 46*b22*b120 + 14*b22*b121 + 13
     *b22*b122 + 124*b22*b123 + 11*b22*b124 + 28*b22*b125 + 40*b22*b126 + 9*b22
     *b128 + 48*b22*b129 + 39*b22*b131 + 17*b22*b135 + 34*b22*b136 + 91*b22*
     b138 + 15*b22*b140 + 64*b22*b142 + 10*b22*b143 + 54*b22*b144 + 48*b22*b146
      + 31*b22*b149 + 19*b22*b150 + 13*b22*b151 + 10*b22*b152 + 21*b22*b153 + 
     27*b22*b154 + 44*b22*b156 + 101*b22*b158 + 11*b22*b160 + 11*b22*b164 + 30*
     b22*b165 + b22*b167 + 31*b22*b169 + 39*b22*b170 + 46*b22*b172 + 35*b22*
     b173 + 9*b22*b178 + 43*b22*b179 + 153*b22*b181 + 7*b22*b182 + 18*b22*b183
      + 22*b22*b184 + 2*b22*b185 + 40*b22*b186 + 18*b22*b188 + 120*b22*b189 + 
     13*b22*b190 + 84*b22*b191 + 34*b22*b194 + 4*b22*b196 + 36*b22*b198 + 39*
     b22*b199 + 12*b22*b200 + 24*b22*b204 + 25*b22*b205 + 19*b22*b207 + 14*b22*
     b210 + 81*b22*b214 + 128*b22*b216 + 4*b22*b217 + 12*b22*b218 + 116*b22*
     b220 + 2*b22*b221 + 31*b22*b225 + 9*b22*b226 + 18*b22*b227 + 47*b22*b229
      + 27*b22*b232 + 111*b22*b234 + 20*b22*b236 + 15*b22*b247 + 10*b22*b310 + 
     5*b22*b311 + 42*b22*b312 + 10*b22*b315 + 32*b22*b319 + 2*b22*b321 + 38*b22
     *b322 + 8*b22*b323 + 22*b22*b325 + 53*b22*b327 + 37*b22*b328 + 7*b22*b329
      + 81*b22*b331 + 96*b22*b332 + 40*b22*b340 + 20*b22*b341 + 24*b22*b342 + 
     10*b22*b346 + 29*b22*b348 + 95*b22*b349 + 41*b22*b350 + 10*b22*b351 + 17*
     b22*b352 + 25*b22*b353 + 27*b22*b356 + 29*b22*b359 + 16*b22*b360 + 51*b22*
     b361 + 61*b22*b362 + 18*b22*b364 + 75*b22*b365 + 20*b22*b371 + 29*b22*b372
      + 26*b22*b373 + 24*b22*b374 + 3*b22*b378 + 40*b22*b379 + 25*b22*b380 + 44
     *b22*b387 + 38*b22*b389 + 27*b22*b390 + 10*b22*b392 + 5*b22*b393 + 6*b22*
     b395 + 22*b22*b396 + 5*b22*b397 + 30*b22*b398 + 20*b22*b399 + 29*b22*b400
      + 80*b22*b401 + 8*b22*b405 + 13*b22*b407 + 9*b22*b409 + 28*b22*b410 + 80*
     b22*b411 + 43*b22*b415 + 29*b22*b418 + 18*b22*b419 + 15*b22*b425 + 2*b22*
     b428 + 24*b22*b429 + 21*b22*b431 + 58*b22*b432 + 70*b22*b442 + 67*b22*b446
      + 12*b22*b451 + 53*b22*b452 + 31*b22*b453 + 47*b22*b454 + 31*b22*b458 + 
     19*b22*b460 + 25*b22*b461 + 53*b22*b469 + 11*b22*b470 + 32*b22*b471 + 25*
     b22*b472 + 57*b22*b477 + 175*b22*b478 + b22*b479 + 10*b22*b481 + 47*b22*
     b488 + 14*b22*b491 + 12*b22*b492 + 48*b22*b493 + 11*b22*b496 + 5*b22*b497
      + 9*b22*b502 + 44*b22*b505 + 60*b22*b506 + 93*b22*b507 + 22*b23*b50 + 136
     *b23 + 10*b23*b51 + 7*b23*b52 + 153*b23*b55 + 14*b23*b56 + 15*b23*b58 + 88
     *b23*b62 + 140*b23*b64 + 25*b23*b66 + 33*b23*b67 + 109*b23*b68 + 28*b23*
     b70 + 6*b23*b72 + 26*b23*b74 + 32*b23*b76 + 58*b23*b78 + 140*b23*b80 + 28*
     b23*b83 + 40*b23*b85 + 26*b23*b87 + 24*b23*b90 + 33*b23*b91 + 7*b23*b92 + 
     9*b23*b93 + 18*b23*b96 + 20*b23*b97 + b23*b98 + 39*b23*b99 + 23*b23*b100
      + 38*b23*b101 + 18*b23*b102 + 69*b23*b106 + 21*b23*b107 + 2*b23*b109 + 
     b23*b110 + 41*b23*b111 + 17*b23*b113 + 120*b23*b115 + 4*b23*b116 + 4*b23*
     b122 + 6*b23*b124 + 9*b23*b125 + 27*b23*b126 + 39*b23*b129 + 4*b23*b131 + 
     9*b23*b135 + 9*b23*b137 + 105*b23*b138 + 56*b23*b139 + 11*b23*b141 + 33*
     b23*b142 + 2*b23*b143 + 92*b23*b144 + 25*b23*b146 + 16*b23*b149 + 13*b23*
     b151 + 10*b23*b152 + 44*b23*b154 + 28*b23*b155 + 34*b23*b156 + 109*b23*
     b157 + 22*b23*b158 + 38*b23*b161 + 14*b23*b162 + 55*b23*b165 + 22*b23*b167
      + 15*b23*b168 + 39*b23*b169 + 20*b23*b171 + 15*b23*b172 + 13*b23*b174 + 
     18*b23*b176 + 6*b23*b180 + 3*b23*b184 + 13*b23*b185 + 6*b23*b187 + b23*
     b188 + 18*b23*b189 + 28*b23*b191 + 44*b23*b192 + 31*b23*b200 + 30*b23*b203
      + 23*b23*b204 + 16*b23*b205 + 25*b23*b206 + 33*b23*b207 + 26*b23*b208 + 
     19*b23*b212 + 51*b23*b213 + 8*b23*b219 + 4*b23*b220 + 130*b23*b221 + b23*
     b222 + 15*b23*b225 + 4*b23*b229 + 15*b23*b232 + 20*b23*b233 + 33*b23*b234
      + 95*b23*b235 + 81*b23*b236 + 51*b23*b238 + 14*b23*b240 + 101*b23*b243 + 
     4*b23*b244 + 16*b23*b247 + 129*b23*b250 + 14*b23*b258 + 6*b23*b310 + 36*
     b23*b311 + 6*b23*b313 + 2*b23*b314 + 54*b23*b315 + 18*b23*b316 + 32*b23*
     b318 + 24*b23*b323 + 5*b23*b326 + 33*b23*b327 + b23*b328 + 18*b23*b329 + 
     16*b23*b332 + 3*b23*b336 + 5*b23*b337 + 22*b23*b339 + 9*b23*b343 + 2*b23*
     b344 + 9*b23*b348 + 49*b23*b349 + 31*b23*b350 + 12*b23*b352 + 165*b23*b356
      + 42*b23*b358 + 8*b23*b359 + 29*b23*b361 + 9*b23*b363 + 31*b23*b367 + 4*
     b23*b368 + 3*b23*b372 + 15*b23*b373 + 41*b23*b374 + 48*b23*b375 + 2*b23*
     b379 + 38*b23*b380 + 20*b23*b382 + 59*b23*b383 + 11*b23*b387 + 67*b23*b388
      + 25*b23*b393 + 75*b23*b395 + 27*b23*b397 + 16*b23*b398 + 10*b23*b399 + 6
     *b23*b402 + 24*b23*b404 + 38*b23*b408 + 24*b23*b410 + 21*b23*b412 + 18*b23
     *b414 + 22*b23*b415 + 65*b23*b417 + 32*b23*b420 + 19*b23*b421 + 33*b23*
     b422 + 4*b23*b423 + b23*b425 + 11*b23*b427 + 14*b23*b432 + 37*b23*b434 + 8
     *b23*b435 + 11*b23*b436 + 53*b23*b439 + 16*b23*b442 + 40*b23*b446 + 18*b23
     *b449 + 7*b23*b450 + 12*b23*b451 + 65*b23*b454 + b23*b456 + 30*b23*b460 + 
     18*b23*b461 + 13*b23*b462 + 73*b23*b464 + 3*b23*b468 + 60*b23*b469 + 69*
     b23*b470 + 19*b23*b474 + 59*b23*b476 + 76*b23*b478 + 17*b23*b482 + 107*b23
     *b484 + 34*b23*b485 + 21*b23*b489 + 2*b23*b491 + 7*b23*b498 + 13*b23*b502
      + 30*b23*b505 + 12*b23*b507 + 35*b24*b52 + 447*b24 + 4*b24*b54 + 10*b24*
     b58 + 15*b24*b60 + 48*b24*b64 + 24*b24*b65 + 11*b24*b66 + 28*b24*b69 + 6*
     b24*b70 + 2*b24*b71 + 9*b24*b73 + 22*b24*b74 + 7*b24*b75 + 7*b24*b76 + 21*
     b24*b78 + 9*b24*b81 + 81*b24*b82 + 73*b24*b84 + 26*b24*b88 + 40*b24*b93 + 
     21*b24*b94 + 45*b24*b96 + 19*b24*b97 + 31*b24*b98 + 18*b24*b101 + 46*b24*
     b102 + 52*b24*b104 + 67*b24*b107 + 21*b24*b108 + 16*b24*b110 + 20*b24*b111
      + 26*b24*b113 + 16*b24*b115 + 15*b24*b118 + 10*b24*b120 + 19*b24*b123 + 5
     *b24*b126 + 28*b24*b128 + 41*b24*b129 + 10*b24*b130 + 12*b24*b131 + 56*b24
     *b132 + 14*b24*b134 + 8*b24*b136 + 12*b24*b140 + 5*b24*b141 + 14*b24*b144
      + 73*b24*b146 + 33*b24*b147 + 28*b24*b149 + 36*b24*b158 + 19*b24*b159 + 
     13*b24*b160 + 50*b24*b161 + 4*b24*b163 + 22*b24*b167 + 9*b24*b168 + 20*b24
     *b169 + 2*b24*b174 + 52*b24*b176 + 26*b24*b177 + 26*b24*b178 + 7*b24*b180
      + 4*b24*b182 + 48*b24*b186 + 5*b24*b187 + b24*b190 + 20*b24*b195 + 2*b24*
     b198 + 62*b24*b201 + 24*b24*b203 + 49*b24*b204 + 3*b24*b207 + 6*b24*b208
      + 29*b24*b210 + 13*b24*b218 + 23*b24*b219 + 26*b24*b220 + 18*b24*b222 + 
     24*b24*b223 + 23*b24*b225 + 12*b24*b230 + 9*b24*b231 + 11*b24*b232 + 65*
     b24*b233 + 15*b24*b236 + 79*b24*b243 + 9*b24*b244 + 29*b24*b248 + 5*b24*
     b251 + 5*b24*b258 + 4*b24*b310 + 49*b24*b311 + 5*b24*b313 + 24*b24*b315 + 
     8*b24*b316 + 6*b24*b317 + 14*b24*b318 + 36*b24*b321 + 14*b24*b322 + 29*b24
     *b327 + 11*b24*b329 + 102*b24*b330 + 33*b24*b331 + 38*b24*b335 + 11*b24*
     b336 + 10*b24*b338 + 53*b24*b339 + 55*b24*b343 + 19*b24*b344 + 32*b24*b345
      + 58*b24*b346 + 33*b24*b347 + 23*b24*b352 + 18*b24*b353 + 18*b24*b354 + 6
     *b24*b355 + 39*b24*b356 + 6*b24*b359 + 25*b24*b360 + 5*b24*b361 + b24*b363
      + 13*b24*b364 + 3*b24*b366 + 67*b24*b367 + 6*b24*b369 + 16*b24*b370 + 63*
     b24*b371 + 3*b24*b372 + 53*b24*b373 + 17*b24*b375 + 15*b24*b376 + 31*b24*
     b379 + 37*b24*b380 + 9*b24*b381 + 44*b24*b382 + 49*b24*b391 + 28*b24*b394
      + 67*b24*b396 + 49*b24*b399 + 49*b24*b400 + 2*b24*b401 + 20*b24*b402 + 72
     *b24*b403 + 81*b24*b404 + 13*b24*b407 + 46*b24*b408 + 26*b24*b410 + 74*b24
     *b414 + 14*b24*b416 + 37*b24*b417 + 3*b24*b421 + 38*b24*b422 + 12*b24*b424
      + 5*b24*b428 + 13*b24*b435 + 28*b24*b440 + 15*b24*b442 + 32*b24*b445 + 18
     *b24*b448 + 12*b24*b450 + 5*b24*b451 + 23*b24*b453 + 4*b24*b455 + 9*b24*
     b456 + 56*b24*b457 + 64*b24*b458 + 8*b24*b460 + 56*b24*b461 + 53*b24*b464
      + 30*b24*b466 + 20*b24*b472 + b24*b473 + 53*b24*b474 + 6*b24*b475 + 14*
     b24*b476 + 19*b24*b477 + 72*b24*b478 + 2*b24*b479 + 10*b24*b480 + 129*b24*
     b481 + 46*b24*b483 + 21*b24*b484 + 4*b24*b487 + 42*b24*b489 + 13*b24*b491
      + 32*b24*b494 + 21*b24*b496 + 21*b24*b497 + 12*b24*b499 + 14*b24*b500 + 6
     *b24*b501 + 15*b24*b502 + 12*b24*b503 + 3*b24*b505 + 2*b24*b506 + 33*b24*
     b510 + 59*b25*b49 + 1290*b25 + 34*b25*b50 + 39*b25*b54 + 29*b25*b57 + 4*
     b25*b58 + 30*b25*b62 + 39*b25*b64 + 29*b25*b65 + 14*b25*b66 + 163*b25*b67
      + 9*b25*b68 + 13*b25*b70 + 16*b25*b72 + 15*b25*b74 + b25*b76 + 138*b25*
     b78 + 23*b25*b80 + 64*b25*b81 + 4*b25*b83 + 23*b25*b84 + 2*b25*b85 + 13*
     b25*b86 + 113*b25*b87 + 58*b25*b88 + 2*b25*b89 + 18*b25*b93 + 4*b25*b98 + 
     18*b25*b99 + 4*b25*b101 + 45*b25*b102 + 63*b25*b104 + 13*b25*b105 + 10*b25
     *b108 + 8*b25*b110 + 10*b25*b111 + 31*b25*b114 + 30*b25*b117 + 18*b25*b118
      + 16*b25*b119 + 55*b25*b121 + 20*b25*b123 + 140*b25*b124 + 37*b25*b128 + 
     19*b25*b129 + 22*b25*b132 + 31*b25*b134 + b25*b135 + 8*b25*b139 + 38*b25*
     b140 + 33*b25*b142 + 23*b25*b148 + 3*b25*b150 + 52*b25*b154 + 51*b25*b156
      + 4*b25*b158 + 36*b25*b162 + 9*b25*b165 + 19*b25*b167 + 50*b25*b169 + 5*
     b25*b170 + 24*b25*b173 + 51*b25*b175 + 18*b25*b176 + 34*b25*b178 + 3*b25*
     b182 + 40*b25*b184 + 28*b25*b185 + 33*b25*b186 + 8*b25*b187 + 35*b25*b191
      + 51*b25*b196 + 6*b25*b198 + 59*b25*b200 + 32*b25*b201 + 17*b25*b204 + 5*
     b25*b207 + 10*b25*b208 + 22*b25*b209 + 33*b25*b213 + 29*b25*b216 + 29*b25*
     b219 + 17*b25*b221 + 5*b25*b222 + 22*b25*b225 + 27*b25*b230 + 153*b25*b232
      + 41*b25*b235 + 5*b25*b236 + 14*b25*b238 + 36*b25*b240 + 49*b25*b241 + 2*
     b25*b243 + 15*b25*b244 + 12*b25*b245 + 6*b25*b248 + 7*b25*b310 + 24*b25*
     b312 + 22*b25*b313 + 72*b25*b316 + 12*b25*b318 + 98*b25*b325 + 32*b25*b327
      + 12*b25*b330 + 41*b25*b331 + 49*b25*b332 + 79*b25*b333 + b25*b336 + 14*
     b25*b338 + 16*b25*b339 + 16*b25*b340 + 10*b25*b345 + 25*b25*b347 + 3*b25*
     b350 + 22*b25*b353 + 7*b25*b354 + 31*b25*b356 + 43*b25*b357 + 28*b25*b358
      + 15*b25*b359 + 57*b25*b361 + 14*b25*b362 + 4*b25*b364 + 48*b25*b366 + 8*
     b25*b367 + 11*b25*b369 + 2*b25*b371 + 42*b25*b373 + 31*b25*b374 + 20*b25*
     b375 + 17*b25*b376 + 34*b25*b380 + 24*b25*b381 + 2*b25*b383 + 32*b25*b384
      + 32*b25*b387 + 27*b25*b388 + 30*b25*b390 + 28*b25*b391 + 26*b25*b393 + 
     12*b25*b394 + 27*b25*b395 + 29*b25*b396 + 20*b25*b397 + 17*b25*b398 + 48*
     b25*b400 + 90*b25*b401 + 99*b25*b402 + 20*b25*b404 + 11*b25*b408 + 54*b25*
     b411 + 15*b25*b415 + 24*b25*b417 + 46*b25*b418 + 38*b25*b419 + 18*b25*b420
      + 25*b25*b421 + 58*b25*b422 + 20*b25*b423 + 25*b25*b426 + 48*b25*b427 + 5
     *b25*b429 + 47*b25*b430 + 28*b25*b432 + 2*b25*b434 + 6*b25*b435 + 19*b25*
     b438 + 2*b25*b441 + 34*b25*b442 + 6*b25*b443 + 17*b25*b444 + 12*b25*b446
      + 63*b25*b448 + 31*b25*b449 + 13*b25*b451 + 50*b25*b452 + 264*b25*b453 + 
     27*b25*b455 + 12*b25*b461 + 15*b25*b463 + 15*b25*b464 + 86*b25*b466 + 6*
     b25*b470 + 33*b25*b471 + 8*b25*b472 + 41*b25*b473 + 6*b25*b475 + 30*b25*
     b476 + 20*b25*b477 + 60*b25*b478 + 35*b25*b479 + 9*b25*b485 + 87*b25*b486
      + 5*b25*b489 + 49*b25*b500 + 9*b25*b502 + 7*b25*b505 + 34*b26*b50 + 1076*
     b26 + 30*b26*b52 + 47*b26*b53 + 17*b26*b54 + 104*b26*b57 + 40*b26*b61 + 3*
     b26*b62 + 17*b26*b64 + 16*b26*b65 + 13*b26*b66 + 16*b26*b67 + 18*b26*b70
      + 12*b26*b73 + 80*b26*b74 + 19*b26*b81 + 4*b26*b82 + 28*b26*b83 + 39*b26*
     b84 + 16*b26*b85 + 18*b26*b86 + 16*b26*b87 + 26*b26*b88 + 53*b26*b89 + 19*
     b26*b90 + 19*b26*b93 + 9*b26*b97 + 6*b26*b98 + 45*b26*b99 + 18*b26*b101 + 
     5*b26*b104 + 62*b26*b106 + 15*b26*b107 + 22*b26*b111 + 26*b26*b112 + 9*b26
     *b115 + 11*b26*b119 + 16*b26*b120 + 32*b26*b122 + 30*b26*b124 + 26*b26*
     b125 + 27*b26*b126 + 16*b26*b127 + 3*b26*b128 + 52*b26*b129 + 30*b26*b131
      + 33*b26*b134 + 23*b26*b136 + 7*b26*b137 + 26*b26*b139 + 19*b26*b140 + 5*
     b26*b141 + 48*b26*b142 + 12*b26*b144 + 24*b26*b146 + 12*b26*b149 + 37*b26*
     b151 + 5*b26*b153 + 32*b26*b154 + 14*b26*b155 + 23*b26*b156 + 20*b26*b161
      + 111*b26*b163 + 9*b26*b164 + 25*b26*b166 + 14*b26*b168 + 37*b26*b169 + 4
     *b26*b171 + 4*b26*b173 + b26*b175 + 6*b26*b176 + 83*b26*b177 + 57*b26*b178
      + 65*b26*b179 + 93*b26*b181 + 32*b26*b182 + 8*b26*b183 + 20*b26*b184 + 48
     *b26*b186 + 132*b26*b187 + 13*b26*b189 + 11*b26*b190 + 41*b26*b192 + 68*
     b26*b194 + 8*b26*b196 + 82*b26*b198 + 68*b26*b199 + 30*b26*b200 + 17*b26*
     b201 + 61*b26*b203 + 21*b26*b204 + 4*b26*b209 + 65*b26*b210 + 14*b26*b212
      + 134*b26*b215 + 60*b26*b216 + 65*b26*b217 + 24*b26*b218 + b26*b219 + 13*
     b26*b221 + 4*b26*b223 + 35*b26*b225 + 11*b26*b226 + 37*b26*b227 + 40*b26*
     b229 + 13*b26*b232 + 55*b26*b233 + 4*b26*b235 + 82*b26*b236 + 3*b26*b240
      + 9*b26*b310 + 29*b26*b311 + 43*b26*b316 + 51*b26*b318 + 19*b26*b322 + 67
     *b26*b323 + 3*b26*b325 + 3*b26*b327 + 97*b26*b331 + 14*b26*b332 + 10*b26*
     b336 + 55*b26*b340 + 10*b26*b341 + 61*b26*b342 + 23*b26*b344 + 7*b26*b346
      + 11*b26*b348 + 7*b26*b350 + 7*b26*b351 + 36*b26*b352 + 34*b26*b354 + 14*
     b26*b356 + 34*b26*b358 + 20*b26*b359 + 30*b26*b360 + 18*b26*b363 + 37*b26*
     b366 + 51*b26*b370 + 7*b26*b372 + 9*b26*b373 + 118*b26*b374 + 104*b26*b376
      + 33*b26*b377 + 4*b26*b378 + 131*b26*b380 + 107*b26*b381 + 24*b26*b384 + 
     39*b26*b390 + 35*b26*b391 + 16*b26*b392 + 5*b26*b393 + 98*b26*b394 + 29*
     b26*b396 + 13*b26*b398 + 7*b26*b399 + 38*b26*b401 + 19*b26*b403 + 25*b26*
     b406 + 91*b26*b407 + 18*b26*b408 + 148*b26*b410 + 40*b26*b412 + 14*b26*
     b414 + 120*b26*b415 + 4*b26*b416 + 66*b26*b425 + 8*b26*b426 + 9*b26*b429
      + 101*b26*b430 + 137*b26*b432 + 2*b26*b434 + 19*b26*b435 + 12*b26*b437 + 
     7*b26*b439 + 68*b26*b440 + 8*b26*b447 + 14*b26*b448 + 7*b26*b451 + b26*
     b452 + 17*b26*b453 + 60*b26*b457 + 22*b26*b460 + 58*b26*b461 + 5*b26*b465
      + 25*b26*b470 + 5*b26*b472 + 6*b26*b473 + 69*b26*b475 + 35*b26*b476 + 6*
     b26*b477 + 30*b26*b478 + 36*b26*b484 + 2*b26*b488 + 37*b26*b493 + 35*b26*
     b496 + 7*b26*b499 + 68*b26*b501 + 5*b26*b505 + 15*b26*b506 + 58*b26*b507
      + 39*b27*b50 + 1149*b27 + 105*b27*b53 + 42*b27*b55 + 12*b27*b56 + 36*b27*
     b58 + 8*b27*b60 + 12*b27*b61 + 8*b27*b62 + 12*b27*b67 + 23*b27*b68 + 10*
     b27*b69 + 47*b27*b70 + 37*b27*b72 + b27*b73 + 10*b27*b76 + 16*b27*b77 + 6*
     b27*b78 + 31*b27*b79 + 22*b27*b81 + 39*b27*b83 + 11*b27*b87 + 36*b27*b89
      + 28*b27*b90 + 47*b27*b91 + 19*b27*b92 + 26*b27*b98 + 4*b27*b99 + 7*b27*
     b100 + 25*b27*b102 + 4*b27*b103 + 61*b27*b104 + 9*b27*b105 + b27*b110 + 
     124*b27*b112 + 4*b27*b115 + 39*b27*b118 + 53*b27*b120 + 49*b27*b121 + 36*
     b27*b124 + 16*b27*b125 + 60*b27*b126 + 40*b27*b128 + 37*b27*b129 + 78*b27*
     b131 + 44*b27*b132 + 4*b27*b135 + 63*b27*b138 + 67*b27*b139 + 20*b27*b140
      + 4*b27*b141 + 13*b27*b143 + 4*b27*b145 + 70*b27*b146 + 4*b27*b148 + 67*
     b27*b149 + 28*b27*b152 + 20*b27*b153 + 30*b27*b158 + b27*b159 + 23*b27*
     b160 + 18*b27*b162 + 20*b27*b163 + 34*b27*b166 + 10*b27*b167 + 27*b27*b169
      + 12*b27*b170 + 111*b27*b171 + 27*b27*b173 + 34*b27*b174 + 12*b27*b176 + 
     15*b27*b178 + 18*b27*b180 + 19*b27*b182 + 25*b27*b183 + 159*b27*b186 + 5*
     b27*b187 + 8*b27*b188 + 42*b27*b189 + 11*b27*b191 + 35*b27*b192 + b27*b194
      + 9*b27*b198 + 20*b27*b202 + 71*b27*b203 + 19*b27*b204 + 32*b27*b207 + 41
     *b27*b208 + 6*b27*b213 + 14*b27*b215 + 48*b27*b217 + 43*b27*b220 + 39*b27*
     b222 + 74*b27*b223 + 56*b27*b227 + 6*b27*b228 + 43*b27*b230 + 22*b27*b232
      + 96*b27*b233 + 24*b27*b235 + 34*b27*b239 + b27*b242 + 28*b27*b243 + 40*
     b27*b244 + 34*b27*b251 + 9*b27*b310 + 26*b27*b311 + 4*b27*b312 + b27*b314
      + 15*b27*b316 + 14*b27*b318 + 36*b27*b320 + 59*b27*b322 + 20*b27*b323 + 7
     *b27*b325 + 16*b27*b328 + 6*b27*b332 + 25*b27*b333 + 49*b27*b338 + 8*b27*
     b340 + 144*b27*b341 + 7*b27*b343 + 28*b27*b345 + 21*b27*b346 + 2*b27*b349
      + 28*b27*b350 + 33*b27*b352 + 7*b27*b353 + 9*b27*b355 + 168*b27*b362 + 36
     *b27*b366 + 38*b27*b367 + 32*b27*b372 + 8*b27*b375 + 24*b27*b376 + 23*b27*
     b379 + 8*b27*b380 + 37*b27*b381 + 25*b27*b382 + 29*b27*b383 + 7*b27*b385
      + 19*b27*b386 + 39*b27*b389 + 32*b27*b390 + 20*b27*b391 + 20*b27*b393 + 
     42*b27*b395 + 8*b27*b396 + 2*b27*b397 + 52*b27*b398 + 68*b27*b399 + 106*
     b27*b400 + 123*b27*b408 + 19*b27*b409 + 11*b27*b410 + 57*b27*b412 + 48*b27
     *b414 + 26*b27*b416 + 8*b27*b420 + 29*b27*b422 + 4*b27*b423 + 39*b27*b426
      + 55*b27*b427 + b27*b431 + 30*b27*b432 + 21*b27*b436 + 26*b27*b438 + 9*
     b27*b440 + 24*b27*b442 + 77*b27*b444 + 23*b27*b445 + 44*b27*b448 + 23*b27*
     b450 + 66*b27*b452 + 22*b27*b453 + 22*b27*b454 + 38*b27*b455 + 167*b27*
     b456 + 22*b27*b458 + 88*b27*b461 + 32*b27*b466 + 32*b27*b469 + 12*b27*b471
      + 9*b27*b476 + 81*b27*b479 + 13*b27*b480 + 38*b27*b483 + 79*b27*b487 + 8*
     b27*b490 + 24*b27*b491 + 12*b27*b494 + 3*b27*b496 + 15*b27*b500 + 35*b27*
     b501 + 191*b27*b503 + 2*b27*b508 + 109*b27*b509 + 15*b28*b49 + 867*b28 + 5
     *b28*b52 + 33*b28*b53 + 30*b28*b57 + 15*b28*b59 + 52*b28*b61 + 14*b28*b62
      + 44*b28*b63 + b28*b66 + 12*b28*b69 + 19*b28*b70 + 42*b28*b71 + 24*b28*
     b74 + 20*b28*b75 + 23*b28*b76 + 8*b28*b81 + 17*b28*b82 + 24*b28*b83 + 47*
     b28*b85 + 10*b28*b86 + 14*b28*b87 + 50*b28*b88 + 25*b28*b89 + 35*b28*b90
      + 39*b28*b91 + 67*b28*b94 + 108*b28*b96 + 9*b28*b105 + 64*b28*b107 + 30*
     b28*b110 + 8*b28*b112 + 13*b28*b115 + 65*b28*b116 + 4*b28*b118 + 8*b28*
     b121 + 24*b28*b122 + 55*b28*b124 + 18*b28*b126 + 20*b28*b128 + 36*b28*b134
      + 60*b28*b135 + 23*b28*b136 + 24*b28*b137 + 9*b28*b139 + 70*b28*b140 + 6*
     b28*b142 + 16*b28*b144 + 39*b28*b145 + 94*b28*b146 + 57*b28*b147 + 7*b28*
     b153 + 2*b28*b154 + 4*b28*b155 + 5*b28*b156 + 26*b28*b160 + 37*b28*b162 + 
     41*b28*b167 + 35*b28*b169 + 28*b28*b170 + 24*b28*b171 + 40*b28*b175 + 54*
     b28*b177 + 5*b28*b179 + 22*b28*b180 + 31*b28*b181 + 24*b28*b184 + 19*b28*
     b186 + 5*b28*b189 + 11*b28*b191 + 26*b28*b193 + 26*b28*b196 + 7*b28*b197
      + 14*b28*b201 + 2*b28*b202 + 24*b28*b204 + 42*b28*b205 + 5*b28*b206 + 8*
     b28*b208 + 4*b28*b209 + 25*b28*b212 + 2*b28*b217 + 5*b28*b218 + 10*b28*
     b220 + 17*b28*b221 + 5*b28*b222 + 13*b28*b228 + 12*b28*b229 + 33*b28*b230
      + 30*b28*b231 + 26*b28*b233 + 56*b28*b234 + 95*b28*b235 + 6*b28*b236 + 22
     *b28*b238 + 25*b28*b240 + 28*b28*b241 + 4*b28*b242 + 11*b28*b243 + 21*b28*
     b250 + 13*b28*b251 + 39*b28*b258 + 5*b28*b310 + 18*b28*b314 + 9*b28*b319
      + 16*b28*b320 + 12*b28*b321 + 32*b28*b323 + 3*b28*b328 + 41*b28*b333 + 8*
     b28*b334 + 25*b28*b335 + 38*b28*b336 + 5*b28*b337 + 33*b28*b338 + 35*b28*
     b341 + 27*b28*b343 + 3*b28*b347 + 30*b28*b348 + 19*b28*b351 + 20*b28*b352
      + 31*b28*b354 + 5*b28*b359 + 7*b28*b361 + 27*b28*b362 + 6*b28*b365 + 45*
     b28*b366 + 2*b28*b371 + 32*b28*b375 + 17*b28*b377 + 23*b28*b380 + 32*b28*
     b382 + 8*b28*b387 + 40*b28*b388 + 8*b28*b391 + 46*b28*b393 + 25*b28*b394
      + 53*b28*b396 + 39*b28*b401 + 90*b28*b403 + 15*b28*b404 + 53*b28*b406 + 
     21*b28*b407 + 3*b28*b408 + 42*b28*b409 + 4*b28*b410 + 10*b28*b412 + 41*b28
     *b413 + 61*b28*b414 + 46*b28*b415 + 10*b28*b416 + 23*b28*b417 + 10*b28*
     b419 + 9*b28*b420 + 10*b28*b426 + 8*b28*b429 + 3*b28*b431 + 31*b28*b433 + 
     64*b28*b435 + 31*b28*b437 + 33*b28*b439 + 30*b28*b442 + 40*b28*b443 + 30*
     b28*b446 + 28*b28*b448 + 55*b28*b449 + 19*b28*b454 + 23*b28*b459 + 19*b28*
     b460 + 41*b28*b463 + 119*b28*b465 + 43*b28*b466 + b28*b468 + 40*b28*b470
      + 11*b28*b471 + 30*b28*b472 + 4*b28*b473 + 47*b28*b474 + 7*b28*b475 + 58*
     b28*b476 + 14*b28*b477 + 36*b28*b478 + 10*b28*b480 + 2*b28*b485 + 35*b28*
     b486 + 14*b28*b487 + 61*b28*b489 + 13*b28*b490 + 66*b28*b493 + 48*b28*b496
      + 10*b28*b498 + 46*b28*b499 + 8*b28*b500 + 62*b28*b501 + 51*b28*b502 + 11
     *b28*b505 + 22*b28*b506 + 29*b28*b508 + 2*b29*b52 + 308*b29 + 66*b29*b55
      + 13*b29*b60 + 22*b29*b62 + 171*b29*b63 + 14*b29*b66 + 26*b29*b68 + 11*
     b29*b69 + 62*b29*b75 + 21*b29*b76 + 18*b29*b77 + 31*b29*b79 + 44*b29*b83
      + 28*b29*b85 + 23*b29*b90 + 23*b29*b91 + 71*b29*b94 + 13*b29*b98 + 3*b29*
     b102 + 8*b29*b103 + 9*b29*b106 + 9*b29*b107 + 26*b29*b108 + 2*b29*b113 + 
     74*b29*b114 + 17*b29*b115 + 12*b29*b116 + 92*b29*b118 + 40*b29*b119 + 51*
     b29*b120 + 26*b29*b121 + 16*b29*b122 + 31*b29*b124 + 10*b29*b127 + 7*b29*
     b129 + 99*b29*b135 + 27*b29*b136 + 24*b29*b137 + 49*b29*b140 + 10*b29*b141
      + 8*b29*b143 + b29*b144 + 6*b29*b147 + 32*b29*b148 + 20*b29*b149 + 84*b29
     *b153 + 19*b29*b155 + b29*b159 + 32*b29*b160 + 13*b29*b161 + 44*b29*b162
      + 55*b29*b163 + 12*b29*b165 + 12*b29*b166 + 31*b29*b169 + 9*b29*b170 + 12
     *b29*b171 + 2*b29*b172 + 43*b29*b175 + 12*b29*b176 + 45*b29*b177 + 45*b29*
     b179 + 30*b29*b180 + 30*b29*b182 + 13*b29*b183 + b29*b184 + 42*b29*b188 + 
     22*b29*b189 + 14*b29*b191 + 17*b29*b193 + 4*b29*b197 + 172*b29*b198 + 97*
     b29*b200 + 58*b29*b201 + 6*b29*b208 + 43*b29*b212 + 27*b29*b214 + 20*b29*
     b219 + 95*b29*b221 + 6*b29*b226 + 16*b29*b227 + 7*b29*b228 + 116*b29*b230
      + 14*b29*b232 + 21*b29*b235 + 45*b29*b236 + 14*b29*b242 + 58*b29*b243 + 
     80*b29*b248 + 45*b29*b258 + 6*b29*b310 + 11*b29*b311 + 3*b29*b313 + 24*b29
     *b314 + 54*b29*b315 + b29*b316 + 80*b29*b320 + 47*b29*b321 + 6*b29*b322 + 
     7*b29*b324 + 11*b29*b326 + 17*b29*b328 + 86*b29*b329 + 80*b29*b333 + 65*
     b29*b335 + 20*b29*b337 + 33*b29*b339 + 11*b29*b341 + 66*b29*b346 + 46*b29*
     b347 + 4*b29*b348 + 27*b29*b349 + 18*b29*b350 + 5*b29*b351 + 20*b29*b352
      + 15*b29*b354 + 13*b29*b355 + 89*b29*b356 + 44*b29*b357 + 25*b29*b359 + 
     26*b29*b362 + 10*b29*b366 + 19*b29*b368 + 7*b29*b371 + 46*b29*b372 + 142*
     b29*b374 + 36*b29*b376 + 89*b29*b377 + 26*b29*b379 + 6*b29*b380 + 53*b29*
     b381 + 78*b29*b382 + 15*b29*b383 + 12*b29*b384 + 2*b29*b387 + 3*b29*b388
      + 12*b29*b389 + 14*b29*b390 + 78*b29*b392 + 24*b29*b393 + 37*b29*b396 + 
     39*b29*b398 + 17*b29*b401 + 44*b29*b402 + 21*b29*b406 + 117*b29*b407 + 19*
     b29*b408 + 14*b29*b409 + 22*b29*b412 + 13*b29*b414 + 27*b29*b417 + 74*b29*
     b418 + 46*b29*b419 + 51*b29*b420 + 49*b29*b421 + 24*b29*b422 + 3*b29*b423
      + 43*b29*b428 + 30*b29*b429 + 32*b29*b432 + 23*b29*b433 + 14*b29*b436 + 
     86*b29*b441 + 35*b29*b443 + 46*b29*b445 + 13*b29*b447 + 27*b29*b450 + 25*
     b29*b451 + 15*b29*b452 + 9*b29*b453 + 12*b29*b454 + 33*b29*b455 + 44*b29*
     b456 + 23*b29*b458 + 42*b29*b465 + 21*b29*b466 + 5*b29*b473 + 10*b29*b474
      + 131*b29*b484 + 5*b29*b487 + 33*b29*b488 + 40*b29*b490 + 12*b29*b492 + 
     12*b29*b493 + 5*b29*b494 + 9*b29*b496 + 5*b29*b497 + 13*b29*b498 + 14*b29*
     b499 + 10*b29*b501 + 4*b29*b502 + 39*b29*b504 + 4*b29*b505 + 8*b29*b508 + 
     47*b30*b50 + 510*b30 + 66*b30*b52 + 12*b30*b53 + 10*b30*b57 + 3*b30*b58 + 
     22*b30*b59 + 16*b30*b60 + 22*b30*b62 + 25*b30*b66 + 65*b30*b67 + 17*b30*
     b68 + 10*b30*b69 + 130*b30*b70 + 6*b30*b71 + 14*b30*b72 + 43*b30*b73 + 62*
     b30*b75 + 44*b30*b76 + 25*b30*b78 + 32*b30*b79 + 3*b30*b80 + 131*b30*b82
      + 25*b30*b85 + 56*b30*b86 + 51*b30*b87 + 24*b30*b93 + 63*b30*b98 + 69*b30
     *b99 + 26*b30*b101 + 113*b30*b102 + 65*b30*b104 + 18*b30*b105 + 2*b30*b107
      + b30*b108 + 85*b30*b113 + 22*b30*b114 + 11*b30*b115 + 10*b30*b117 + 16*
     b30*b118 + 9*b30*b119 + 14*b30*b120 + 38*b30*b124 + 67*b30*b125 + 20*b30*
     b126 + 65*b30*b128 + 15*b30*b129 + 9*b30*b130 + 17*b30*b131 + 45*b30*b132
      + b30*b134 + 44*b30*b135 + 76*b30*b137 + 20*b30*b140 + 3*b30*b141 + 4*b30
     *b143 + 20*b30*b145 + 6*b30*b146 + 8*b30*b147 + 14*b30*b148 + 6*b30*b150
      + 3*b30*b153 + 7*b30*b154 + 121*b30*b156 + 21*b30*b159 + 6*b30*b160 + 13*
     b30*b161 + 20*b30*b167 + b30*b171 + 58*b30*b172 + 12*b30*b173 + 11*b30*
     b176 + 11*b30*b177 + 31*b30*b179 + 21*b30*b182 + 13*b30*b184 + 39*b30*b185
      + 6*b30*b186 + 5*b30*b192 + 17*b30*b196 + 66*b30*b197 + 10*b30*b198 + 2*
     b30*b201 + 7*b30*b204 + 5*b30*b207 + 10*b30*b209 + 19*b30*b210 + 22*b30*
     b212 + 2*b30*b214 + 13*b30*b216 + 5*b30*b221 + 32*b30*b222 + b30*b225 + 
     b30*b230 + 37*b30*b235 + 14*b30*b236 + 10*b30*b241 + 29*b30*b243 + 17*b30*
     b245 + 4*b30*b250 + 7*b30*b310 + 15*b30*b311 + 11*b30*b314 + 47*b30*b318
      + 9*b30*b319 + 26*b30*b323 + 40*b30*b326 + 48*b30*b327 + 54*b30*b328 + 41
     *b30*b329 + 17*b30*b330 + 30*b30*b331 + 37*b30*b332 + 38*b30*b333 + 13*b30
     *b336 + 5*b30*b338 + 2*b30*b339 + 14*b30*b340 + 6*b30*b344 + 26*b30*b345
      + 179*b30*b350 + 36*b30*b351 + 7*b30*b354 + 13*b30*b355 + 22*b30*b359 + 
     18*b30*b360 + 23*b30*b361 + 9*b30*b362 + 4*b30*b363 + 8*b30*b366 + 35*b30*
     b370 + 95*b30*b373 + 31*b30*b374 + 10*b30*b375 + 23*b30*b376 + 20*b30*b378
      + 2*b30*b380 + 24*b30*b381 + 10*b30*b383 + 24*b30*b384 + 75*b30*b387 + 8*
     b30*b389 + 2*b30*b390 + 23*b30*b392 + 7*b30*b396 + 5*b30*b398 + 20*b30*
     b401 + 74*b30*b402 + 78*b30*b404 + 4*b30*b407 + 4*b30*b408 + 75*b30*b409
      + 28*b30*b412 + 71*b30*b416 + 14*b30*b417 + b30*b418 + 48*b30*b419 + 45*
     b30*b421 + 55*b30*b422 + 78*b30*b424 + 145*b30*b427 + 61*b30*b428 + 30*b30
     *b430 + 6*b30*b431 + 21*b30*b435 + 95*b30*b436 + 23*b30*b440 + 2*b30*b442
      + 42*b30*b444 + 21*b30*b446 + 12*b30*b449 + 47*b30*b451 + 32*b30*b452 + 
     50*b30*b453 + b30*b454 + 35*b30*b455 + 158*b30*b458 + 65*b30*b461 + 24*b30
     *b463 + 12*b30*b465 + 134*b30*b466 + 16*b30*b467 + 10*b30*b472 + 126*b30*
     b473 + 7*b30*b475 + 17*b30*b477 + 2*b30*b479 + 17*b30*b480 + 64*b30*b487
      + 14*b30*b489 + 22*b30*b491 + 23*b30*b492 + 109*b30*b495 + 58*b30*b498 + 
     64*b30*b500 + 16*b30*b502 + b30*b505 + 54*b30*b506 + 37*b31*b49 + 733*b31
      + 6*b31*b51 + 40*b31*b53 + 12*b31*b56 + 12*b31*b57 + 21*b31*b59 + 128*b31
     *b60 + 12*b31*b61 + 63*b31*b62 + 8*b31*b63 + 50*b31*b64 + 9*b31*b66 + 38*
     b31*b67 + 32*b31*b69 + 16*b31*b71 + 12*b31*b72 + 84*b31*b73 + 15*b31*b74
      + 180*b31*b79 + 12*b31*b81 + 15*b31*b83 + 3*b31*b84 + 17*b31*b87 + 30*b31
     *b90 + 29*b31*b92 + 52*b31*b93 + 30*b31*b97 + 21*b31*b99 + 2*b31*b101 + 48
     *b31*b102 + 2*b31*b103 + 10*b31*b104 + 29*b31*b105 + 36*b31*b107 + 33*b31*
     b108 + 82*b31*b109 + 3*b31*b110 + 20*b31*b114 + 28*b31*b116 + 19*b31*b118
      + 40*b31*b119 + 62*b31*b120 + 48*b31*b121 + 92*b31*b122 + 5*b31*b124 + 4*
     b31*b125 + 8*b31*b126 + 13*b31*b127 + 30*b31*b131 + 33*b31*b132 + 24*b31*
     b134 + 7*b31*b135 + 95*b31*b140 + 8*b31*b142 + 41*b31*b146 + 13*b31*b151
      + 57*b31*b152 + 8*b31*b153 + 13*b31*b159 + 28*b31*b160 + 12*b31*b161 + 85
     *b31*b164 + 38*b31*b165 + 41*b31*b166 + 17*b31*b167 + 30*b31*b169 + 5*b31*
     b170 + 34*b31*b171 + 16*b31*b178 + 72*b31*b179 + 38*b31*b181 + 37*b31*b182
      + 8*b31*b183 + 58*b31*b186 + 42*b31*b188 + 56*b31*b189 + 56*b31*b190 + 
     b31*b191 + 20*b31*b192 + 17*b31*b193 + 50*b31*b194 + 19*b31*b198 + 37*b31*
     b199 + 29*b31*b204 + 22*b31*b205 + 2*b31*b209 + 9*b31*b211 + 46*b31*b214
      + 18*b31*b220 + 49*b31*b221 + 16*b31*b223 + 59*b31*b226 + 30*b31*b227 + 
     22*b31*b229 + 25*b31*b230 + 20*b31*b232 + 31*b31*b233 + 11*b31*b235 + 24*
     b31*b244 + 26*b31*b250 + 8*b31*b310 + 8*b31*b312 + 31*b31*b314 + 8*b31*
     b320 + 8*b31*b322 + 8*b31*b324 + 14*b31*b325 + 33*b31*b327 + 30*b31*b329
      + 120*b31*b331 + 6*b31*b332 + 17*b31*b334 + 8*b31*b338 + 59*b31*b339 + 44
     *b31*b340 + 16*b31*b341 + 136*b31*b342 + 13*b31*b350 + 11*b31*b352 + 26*
     b31*b353 + 67*b31*b354 + 2*b31*b356 + 27*b31*b359 + 5*b31*b360 + 23*b31*
     b362 + 124*b31*b365 + 10*b31*b366 + 41*b31*b372 + 24*b31*b373 + 30*b31*
     b374 + 32*b31*b377 + 3*b31*b378 + 2*b31*b381 + 14*b31*b382 + 95*b31*b383
      + 88*b31*b386 + 49*b31*b390 + 21*b31*b393 + 29*b31*b394 + 14*b31*b395 + 
     75*b31*b396 + 15*b31*b397 + 11*b31*b398 + 16*b31*b399 + 25*b31*b403 + 20*
     b31*b405 + 3*b31*b406 + 17*b31*b408 + 15*b31*b409 + 22*b31*b411 + 11*b31*
     b412 + 113*b31*b413 + 21*b31*b414 + 54*b31*b419 + 22*b31*b420 + 6*b31*b421
      + 6*b31*b423 + 13*b31*b426 + 35*b31*b427 + 11*b31*b428 + 66*b31*b429 + 5*
     b31*b430 + 20*b31*b431 + 27*b31*b433 + 32*b31*b435 + 33*b31*b436 + 127*b31
     *b444 + 14*b31*b445 + b31*b446 + 6*b31*b448 + 10*b31*b450 + 2*b31*b451 + 
     118*b31*b452 + 100*b31*b454 + 19*b31*b456 + 44*b31*b458 + 41*b31*b460 + 26
     *b31*b463 + 37*b31*b465 + 129*b31*b469 + 34*b31*b472 + b31*b474 + 53*b31*
     b477 + 22*b31*b479 + 9*b31*b480 + 6*b31*b482 + 33*b31*b483 + 52*b31*b486
      + 12*b31*b488 + 2*b31*b491 + 7*b31*b492 + 21*b31*b493 + 17*b31*b494 + 71*
     b31*b496 + 9*b31*b501 + 44*b31*b502 + 43*b31*b503 + 12*b31*b505 + 143*b31*
     b506 + 9*b32*b49 + 11*b32 + 55*b32*b52 + 75*b32*b54 + 142*b32*b57 + 59*b32
     *b59 + 50*b32*b64 + 57*b32*b65 + 13*b32*b66 + 23*b32*b68 + 11*b32*b72 + 14
     *b32*b73 + 16*b32*b74 + 10*b32*b75 + 7*b32*b77 + 11*b32*b81 + 3*b32*b83 + 
     4*b32*b87 + 5*b32*b88 + 10*b32*b90 + 37*b32*b93 + 18*b32*b96 + 3*b32*b98
      + 32*b32*b102 + 69*b32*b103 + 137*b32*b108 + b32*b109 + 3*b32*b111 + 5*
     b32*b112 + 37*b32*b114 + 31*b32*b115 + 17*b32*b117 + 9*b32*b123 + 8*b32*
     b124 + 7*b32*b127 + 26*b32*b129 + 2*b32*b130 + b32*b131 + 126*b32*b133 + 
     48*b32*b135 + 3*b32*b136 + 11*b32*b141 + 4*b32*b142 + 14*b32*b144 + 2*b32*
     b146 + 12*b32*b147 + 60*b32*b148 + 38*b32*b149 + 10*b32*b151 + 91*b32*b153
      + 3*b32*b155 + 34*b32*b156 + 52*b32*b158 + 7*b32*b159 + 12*b32*b160 + 44*
     b32*b161 + 49*b32*b162 + 11*b32*b163 + 5*b32*b164 + 71*b32*b166 + 7*b32*
     b167 + 16*b32*b168 + 3*b32*b172 + 11*b32*b174 + 20*b32*b176 + 13*b32*b178
      + 15*b32*b182 + 8*b32*b183 + 25*b32*b186 + 70*b32*b187 + 20*b32*b189 + 65
     *b32*b193 + 75*b32*b194 + 13*b32*b197 + 75*b32*b198 + 32*b32*b201 + 32*b32
     *b203 + 20*b32*b207 + 4*b32*b209 + 73*b32*b210 + 29*b32*b214 + 2*b32*b216
      + 15*b32*b217 + 36*b32*b218 + 32*b32*b220 + 42*b32*b221 + 20*b32*b223 + 
     29*b32*b230 + 7*b32*b232 + 34*b32*b233 + 33*b32*b236 + 14*b32*b240 + 4*b32
     *b244 + 26*b32*b250 + 5*b32*b310 + 72*b32*b317 + 151*b32*b318 + 114*b32*
     b320 + 2*b32*b321 + 8*b32*b322 + 60*b32*b323 + 3*b32*b324 + 7*b32*b327 + 
     20*b32*b328 + 65*b32*b329 + 32*b32*b331 + 48*b32*b332 + b32*b333 + b32*
     b335 + 15*b32*b337 + 15*b32*b338 + 48*b32*b340 + 18*b32*b342 + 7*b32*b343
      + 39*b32*b344 + 67*b32*b345 + 4*b32*b347 + 6*b32*b348 + 134*b32*b349 + 13
     *b32*b350 + 21*b32*b352 + 68*b32*b353 + 15*b32*b354 + 30*b32*b356 + 19*b32
     *b359 + 42*b32*b363 + 20*b32*b364 + 17*b32*b366 + 9*b32*b367 + 32*b32*b370
      + 8*b32*b371 + 30*b32*b372 + 28*b32*b373 + 81*b32*b374 + 61*b32*b375 + 85
     *b32*b376 + 20*b32*b378 + 91*b32*b380 + 6*b32*b381 + 70*b32*b392 + 64*b32*
     b394 + 7*b32*b396 + 7*b32*b397 + 119*b32*b398 + 12*b32*b400 + 42*b32*b401
      + 33*b32*b402 + 6*b32*b404 + 17*b32*b405 + 22*b32*b406 + 3*b32*b407 + 5*
     b32*b408 + 15*b32*b414 + 54*b32*b416 + 11*b32*b422 + 6*b32*b423 + 3*b32*
     b426 + 56*b32*b428 + 73*b32*b430 + 22*b32*b431 + 60*b32*b432 + 2*b32*b433
      + 21*b32*b434 + 14*b32*b438 + 39*b32*b440 + 30*b32*b441 + 15*b32*b445 + 2
     *b32*b450 + 35*b32*b451 + 4*b32*b452 + 18*b32*b455 + 38*b32*b456 + 2*b32*
     b462 + 25*b32*b467 + 26*b32*b470 + 21*b32*b473 + 14*b32*b474 + 17*b32*b475
      + 48*b32*b477 + 3*b32*b478 + 54*b32*b480 + 31*b32*b481 + 20*b32*b483 + 86
     *b32*b484 + 25*b32*b485 + 5*b32*b488 + 37*b32*b490 + 14*b32*b491 + 68*b32*
     b493 + 24*b32*b496 + 14*b32*b500 + 30*b32*b501 + 78*b32*b502 + 18*b32*b503
      + 10*b32*b504 + 82*b32*b506 + 35*b32*b507 + 3*b33*b49 + 376*b33 + 31*b33*
     b51 + 4*b33*b56 + 2*b33*b58 + 14*b33*b60 + 6*b33*b61 + 12*b33*b67 + 31*b33
     *b71 + 31*b33*b76 + 24*b33*b78 + 4*b33*b79 + 62*b33*b80 + 7*b33*b83 + 62*
     b33*b85 + 14*b33*b87 + 21*b33*b89 + 8*b33*b94 + 106*b33*b95 + 26*b33*b96
      + 21*b33*b97 + 53*b33*b98 + 21*b33*b99 + 25*b33*b100 + 16*b33*b104 + 28*
     b33*b105 + 10*b33*b108 + 4*b33*b111 + 72*b33*b112 + 37*b33*b115 + 10*b33*
     b117 + 7*b33*b124 + 12*b33*b126 + 42*b33*b129 + 39*b33*b132 + 24*b33*b133
      + 39*b33*b134 + 8*b33*b137 + b33*b139 + 46*b33*b140 + 12*b33*b141 + 10*
     b33*b144 + 6*b33*b147 + 14*b33*b149 + 18*b33*b151 + 101*b33*b152 + 21*b33*
     b153 + 74*b33*b154 + 226*b33*b155 + 35*b33*b158 + b33*b160 + 29*b33*b161
      + 7*b33*b162 + 9*b33*b167 + 34*b33*b171 + 43*b33*b173 + 17*b33*b178 + 5*
     b33*b180 + 6*b33*b181 + 13*b33*b183 + 19*b33*b184 + 3*b33*b187 + 10*b33*
     b189 + 9*b33*b193 + 43*b33*b196 + 24*b33*b199 + 15*b33*b200 + 162*b33*b202
      + 8*b33*b204 + 14*b33*b205 + 34*b33*b206 + b33*b208 + 2*b33*b210 + 7*b33*
     b211 + 34*b33*b213 + 78*b33*b218 + 107*b33*b222 + 23*b33*b223 + 37*b33*
     b226 + 19*b33*b227 + 43*b33*b228 + 20*b33*b229 + 18*b33*b232 + 13*b33*b233
      + 43*b33*b236 + 52*b33*b239 + 14*b33*b240 + 38*b33*b241 + 88*b33*b242 + 7
     *b33*b310 + 83*b33*b312 + 141*b33*b313 + 3*b33*b314 + 51*b33*b315 + 36*b33
     *b316 + 3*b33*b317 + 9*b33*b318 + 11*b33*b319 + 13*b33*b320 + 29*b33*b322
      + 54*b33*b324 + 71*b33*b325 + 94*b33*b326 + 27*b33*b328 + 69*b33*b330 + 
     25*b33*b331 + 15*b33*b336 + 4*b33*b338 + 29*b33*b340 + 15*b33*b342 + 2*b33
     *b343 + 28*b33*b344 + 8*b33*b347 + 70*b33*b350 + 57*b33*b351 + 5*b33*b352
      + 26*b33*b354 + 48*b33*b355 + 45*b33*b356 + 18*b33*b357 + 60*b33*b361 + 
     138*b33*b362 + 17*b33*b365 + 10*b33*b366 + 2*b33*b367 + 18*b33*b368 + 9*
     b33*b370 + 11*b33*b371 + 30*b33*b374 + 9*b33*b377 + 153*b33*b379 + 8*b33*
     b381 + 4*b33*b382 + 6*b33*b384 + 29*b33*b385 + b33*b388 + 24*b33*b389 + 37
     *b33*b391 + 13*b33*b392 + 121*b33*b393 + 30*b33*b394 + 34*b33*b396 + 11*
     b33*b397 + 16*b33*b398 + 114*b33*b399 + 48*b33*b400 + 24*b33*b407 + 4*b33*
     b410 + 41*b33*b412 + 28*b33*b414 + 2*b33*b415 + 64*b33*b416 + 6*b33*b417
      + 65*b33*b419 + 25*b33*b421 + 129*b33*b423 + 24*b33*b425 + 31*b33*b426 + 
     53*b33*b427 + 6*b33*b429 + 3*b33*b431 + 115*b33*b433 + 13*b33*b434 + b33*
     b435 + b33*b436 + 46*b33*b437 + 3*b33*b438 + 12*b33*b440 + 12*b33*b442 + 
     52*b33*b443 + 16*b33*b446 + 29*b33*b448 + b33*b449 + 61*b33*b454 + 79*b33*
     b456 + 29*b33*b457 + 9*b33*b459 + 8*b33*b460 + 50*b33*b466 + 35*b33*b467
      + 3*b33*b468 + 6*b33*b469 + 3*b33*b472 + b33*b475 + 32*b33*b476 + 83*b33*
     b481 + 27*b33*b482 + 13*b33*b485 + 4*b33*b490 + 6*b33*b491 + 17*b33*b494
      + 13*b33*b499 + 12*b33*b501 + 14*b33*b502 + 41*b33*b507 + 6*b33*b508 + 28
     *b33*b509 + 66*b34*b49 + 646*b34 + 98*b34*b50 + 18*b34*b51 + 20*b34*b53 + 
     2*b34*b54 + 23*b34*b58 + 25*b34*b60 + 8*b34*b62 + 33*b34*b64 + 14*b34*b66
      + 35*b34*b67 + 4*b34*b68 + 8*b34*b69 + 228*b34*b70 + 10*b34*b72 + 29*b34*
     b73 + 23*b34*b74 + 34*b34*b76 + 10*b34*b77 + 3*b34*b80 + 25*b34*b85 + 83*
     b34*b86 + 4*b34*b92 + 9*b34*b93 + 5*b34*b95 + 89*b34*b98 + 11*b34*b100 + 2
     *b34*b101 + 30*b34*b102 + 36*b34*b104 + 3*b34*b105 + 31*b34*b106 + 2*b34*
     b107 + 10*b34*b108 + 26*b34*b112 + 7*b34*b115 + 15*b34*b123 + 10*b34*b124
      + 9*b34*b125 + 17*b34*b126 + 21*b34*b128 + 11*b34*b129 + 26*b34*b130 + 
     141*b34*b131 + 46*b34*b132 + 19*b34*b133 + 12*b34*b134 + 6*b34*b135 + 12*
     b34*b140 + 13*b34*b144 + 16*b34*b145 + 9*b34*b147 + 27*b34*b149 + 13*b34*
     b150 + 56*b34*b151 + 155*b34*b152 + 121*b34*b156 + 20*b34*b159 + 19*b34*
     b161 + 9*b34*b162 + 15*b34*b167 + 4*b34*b172 + 2*b34*b173 + 23*b34*b176 + 
     37*b34*b177 + 7*b34*b179 + 23*b34*b183 + 42*b34*b184 + 21*b34*b185 + 13*
     b34*b187 + 18*b34*b189 + 8*b34*b190 + 12*b34*b191 + 18*b34*b197 + 20*b34*
     b198 + 21*b34*b199 + 2*b34*b200 + 24*b34*b201 + 13*b34*b204 + 12*b34*b205
      + 10*b34*b210 + 26*b34*b214 + 6*b34*b216 + 24*b34*b218 + 37*b34*b219 + 13
     *b34*b222 + 10*b34*b226 + 125*b34*b227 + 13*b34*b230 + 18*b34*b235 + 22*
     b34*b236 + 16*b34*b238 + 14*b34*b239 + 40*b34*b243 + 140*b34*b244 + 5*b34*
     b245 + 4*b34*b310 + 128*b34*b312 + 13*b34*b315 + 91*b34*b316 + 24*b34*b318
      + 11*b34*b320 + 20*b34*b323 + 6*b34*b325 + 37*b34*b326 + 46*b34*b327 + 6*
     b34*b328 + 17*b34*b329 + 13*b34*b330 + 28*b34*b331 + 16*b34*b332 + 22*b34*
     b333 + b34*b335 + 18*b34*b336 + 25*b34*b340 + 100*b34*b341 + 7*b34*b343 + 
     18*b34*b344 + 12*b34*b345 + 19*b34*b346 + 93*b34*b350 + 7*b34*b353 + 14*
     b34*b354 + 36*b34*b355 + 56*b34*b357 + 13*b34*b358 + 36*b34*b361 + 30*b34*
     b362 + 8*b34*b363 + 15*b34*b364 + 7*b34*b366 + 20*b34*b368 + 6*b34*b371 + 
     27*b34*b372 + 14*b34*b373 + 26*b34*b374 + 17*b34*b377 + 82*b34*b379 + 5*
     b34*b380 + 36*b34*b381 + 9*b34*b384 + 3*b34*b385 + 30*b34*b387 + 10*b34*
     b390 + 15*b34*b391 + 23*b34*b392 + 20*b34*b394 + 7*b34*b396 + 24*b34*b400
      + 10*b34*b401 + 50*b34*b402 + 41*b34*b406 + 34*b34*b409 + 14*b34*b410 + 7
     *b34*b416 + 10*b34*b418 + 30*b34*b419 + 37*b34*b422 + 36*b34*b423 + 59*b34
     *b426 + 80*b34*b427 + 130*b34*b428 + 27*b34*b429 + 74*b34*b436 + 39*b34*
     b440 + 47*b34*b442 + 7*b34*b445 + 12*b34*b446 + 62*b34*b450 + 94*b34*b451
      + 27*b34*b452 + 3*b34*b454 + 30*b34*b455 + 33*b34*b458 + 14*b34*b459 + 23
     *b34*b460 + 55*b34*b461 + 3*b34*b464 + 30*b34*b466 + 11*b34*b467 + 4*b34*
     b472 + 11*b34*b475 + 37*b34*b478 + 2*b34*b479 + 12*b34*b485 + 13*b34*b486
      + 10*b34*b495 + 29*b34*b497 + 91*b34*b498 + 23*b34*b506 + 25*b34*b507 + 
     31*b35*b49 + 85*b35 + 61*b35*b52 + 29*b35*b55 + 23*b35*b57 + 20*b35*b58 + 
     22*b35*b60 + 18*b35*b62 + 35*b35*b64 + 3*b35*b65 + 6*b35*b66 + 23*b35*b68
      + 9*b35*b69 + 33*b35*b73 + 13*b35*b74 + 7*b35*b76 + 50*b35*b78 + 12*b35*
     b80 + 38*b35*b82 + 114*b35*b87 + 162*b35*b88 + 38*b35*b91 + 22*b35*b92 + 
     10*b35*b93 + 8*b35*b94 + 20*b35*b96 + 7*b35*b97 + 25*b35*b98 + 19*b35*b100
      + 50*b35*b101 + 5*b35*b104 + b35*b105 + 4*b35*b107 + 37*b35*b109 + 117*
     b35*b111 + 8*b35*b114 + 9*b35*b116 + 44*b35*b117 + 21*b35*b119 + 37*b35*
     b120 + 5*b35*b121 + 6*b35*b125 + 14*b35*b126 + 34*b35*b127 + 21*b35*b129
      + 57*b35*b131 + b35*b132 + 16*b35*b133 + b35*b135 + 45*b35*b136 + 20*b35*
     b137 + 4*b35*b141 + 26*b35*b142 + 4*b35*b146 + 3*b35*b148 + 2*b35*b149 + 8
     *b35*b151 + b35*b152 + 18*b35*b154 + 3*b35*b155 + 8*b35*b157 + 5*b35*b159
      + 25*b35*b160 + 26*b35*b166 + 13*b35*b167 + 4*b35*b168 + 11*b35*b170 + 17
     *b35*b172 + 10*b35*b173 + 8*b35*b174 + 30*b35*b175 + 11*b35*b176 + 139*b35
     *b178 + 3*b35*b179 + 3*b35*b181 + 17*b35*b183 + 5*b35*b185 + 5*b35*b188 + 
     32*b35*b189 + 49*b35*b196 + 4*b35*b200 + 4*b35*b204 + 38*b35*b205 + 19*b35
     *b206 + 65*b35*b213 + 40*b35*b216 + 23*b35*b217 + 43*b35*b221 + 25*b35*
     b223 + 29*b35*b225 + 6*b35*b226 + 92*b35*b227 + 15*b35*b229 + 70*b35*b232
      + 23*b35*b235 + 10*b35*b236 + 4*b35*b239 + 44*b35*b240 + 31*b35*b247 + 6*
     b35*b310 + 40*b35*b313 + 11*b35*b314 + 60*b35*b316 + 25*b35*b318 + 13*b35*
     b321 + 5*b35*b322 + 17*b35*b323 + 49*b35*b324 + 25*b35*b327 + 111*b35*b328
      + 27*b35*b329 + 50*b35*b330 + 49*b35*b335 + 25*b35*b336 + 12*b35*b338 + 
     35*b35*b339 + 13*b35*b340 + 42*b35*b342 + 12*b35*b345 + 3*b35*b346 + 33*
     b35*b349 + 100*b35*b350 + 40*b35*b351 + 23*b35*b352 + 5*b35*b354 + 12*b35*
     b356 + 10*b35*b360 + 49*b35*b364 + 57*b35*b368 + 33*b35*b370 + 47*b35*b371
      + 11*b35*b372 + 139*b35*b373 + 49*b35*b374 + 9*b35*b375 + 34*b35*b377 + 9
     *b35*b378 + 3*b35*b379 + 29*b35*b380 + 10*b35*b381 + 34*b35*b383 + 19*b35*
     b384 + 4*b35*b392 + 119*b35*b393 + 25*b35*b394 + 29*b35*b395 + 14*b35*b397
      + 8*b35*b398 + 36*b35*b399 + 86*b35*b400 + 7*b35*b401 + 154*b35*b402 + 14
     *b35*b408 + 14*b35*b411 + 61*b35*b412 + 13*b35*b414 + 28*b35*b416 + 45*b35
     *b417 + 12*b35*b418 + 22*b35*b419 + 27*b35*b420 + 7*b35*b424 + 30*b35*b425
      + 99*b35*b426 + 43*b35*b428 + 27*b35*b430 + 26*b35*b431 + 19*b35*b432 + 
     67*b35*b435 + 17*b35*b437 + 5*b35*b439 + 15*b35*b444 + 26*b35*b446 + 67*
     b35*b449 + 50*b35*b451 + 104*b35*b453 + 18*b35*b456 + 14*b35*b459 + 21*b35
     *b461 + 9*b35*b462 + 4*b35*b464 + 15*b35*b465 + 53*b35*b466 + 80*b35*b467
      + 3*b35*b468 + 26*b35*b469 + 10*b35*b471 + 39*b35*b476 + 6*b35*b478 + 14*
     b35*b482 + 50*b35*b483 + 87*b35*b488 + 15*b35*b492 + 49*b35*b494 + 17*b35*
     b499 + 11*b35*b502 + 10*b35*b503 + 27*b35*b507 + 23*b35*b510 + 28*b36*b49
      + 63*b36 + 24*b36*b52 + 30*b36*b53 + 10*b36*b54 + 30*b36*b57 + 9*b36*b58
      + 99*b36*b59 + 36*b36*b60 + 90*b36*b61 + 61*b36*b64 + 5*b36*b66 + 113*b36
     *b67 + 19*b36*b73 + 20*b36*b74 + 129*b36*b76 + 116*b36*b77 + 39*b36*b78 + 
     18*b36*b80 + 13*b36*b82 + 2*b36*b83 + 53*b36*b87 + 16*b36*b92 + 24*b36*b95
      + 14*b36*b100 + 53*b36*b102 + 31*b36*b104 + 20*b36*b105 + 3*b36*b106 + 41
     *b36*b107 + 21*b36*b108 + 31*b36*b109 + 40*b36*b111 + 49*b36*b112 + 27*b36
     *b114 + 33*b36*b121 + 16*b36*b125 + 19*b36*b128 + 22*b36*b130 + 41*b36*
     b131 + 44*b36*b132 + 31*b36*b136 + 2*b36*b138 + 10*b36*b142 + 46*b36*b143
      + 80*b36*b146 + 17*b36*b151 + 28*b36*b152 + 39*b36*b153 + 46*b36*b156 + 
     53*b36*b160 + 9*b36*b161 + 18*b36*b166 + 7*b36*b168 + 47*b36*b170 + 12*b36
     *b171 + 14*b36*b172 + 32*b36*b174 + 36*b36*b176 + 14*b36*b178 + 22*b36*
     b179 + 36*b36*b181 + 3*b36*b182 + 55*b36*b186 + 70*b36*b188 + 3*b36*b189
      + 7*b36*b190 + 9*b36*b194 + 9*b36*b198 + 7*b36*b199 + 32*b36*b202 + 3*b36
     *b203 + 11*b36*b204 + 18*b36*b205 + 6*b36*b210 + 28*b36*b213 + 18*b36*b219
      + 16*b36*b220 + 23*b36*b221 + 49*b36*b223 + 22*b36*b226 + 14*b36*b227 + 6
     *b36*b229 + 12*b36*b231 + 60*b36*b232 + 74*b36*b233 + 62*b36*b234 + 39*b36
     *b235 + 12*b36*b236 + 13*b36*b242 + 18*b36*b243 + 16*b36*b244 + 103*b36*
     b245 + 76*b36*b247 + 7*b36*b310 + 10*b36*b317 + 29*b36*b318 + 31*b36*b320
      + 16*b36*b322 + 95*b36*b323 + 20*b36*b324 + 148*b36*b325 + 111*b36*b326
      + 49*b36*b327 + 113*b36*b328 + 78*b36*b329 + 4*b36*b332 + 14*b36*b333 + 4
     *b36*b334 + 16*b36*b335 + 33*b36*b336 + 86*b36*b340 + 6*b36*b341 + 22*b36*
     b343 + 3*b36*b345 + 11*b36*b346 + 12*b36*b349 + 44*b36*b353 + b36*b356 + 
     20*b36*b359 + 42*b36*b360 + 38*b36*b370 + 14*b36*b371 + 32*b36*b372 + 22*
     b36*b374 + 23*b36*b377 + 30*b36*b378 + 26*b36*b379 + 12*b36*b382 + 43*b36*
     b383 + 22*b36*b390 + 9*b36*b392 + 10*b36*b395 + 5*b36*b396 + 10*b36*b397
      + 4*b36*b398 + 32*b36*b400 + 11*b36*b401 + 9*b36*b403 + 6*b36*b411 + 14*
     b36*b412 + 30*b36*b414 + 14*b36*b415 + 52*b36*b416 + 12*b36*b421 + 12*b36*
     b425 + 2*b36*b426 + 34*b36*b430 + b36*b432 + 21*b36*b433 + 3*b36*b434 + 20
     *b36*b436 + 17*b36*b440 + 52*b36*b441 + 3*b36*b442 + 11*b36*b444 + 14*b36*
     b445 + 3*b36*b446 + 3*b36*b447 + 24*b36*b450 + 7*b36*b452 + 9*b36*b453 + 
     27*b36*b454 + 11*b36*b456 + 13*b36*b457 + 11*b36*b458 + 68*b36*b460 + 17*
     b36*b461 + 27*b36*b462 + 27*b36*b463 + 60*b36*b465 + 17*b36*b466 + 55*b36*
     b467 + 28*b36*b469 + 56*b36*b474 + 10*b36*b476 + 12*b36*b478 + 33*b36*b479
      + b36*b480 + 32*b36*b483 + 20*b36*b485 + 20*b36*b486 + 24*b36*b488 + 4*
     b36*b490 + 44*b36*b491 + 13*b36*b492 + 26*b36*b499 + 16*b36*b501 + 6*b36*
     b502 + 7*b36*b503 + 22*b36*b505 + 46*b36*b507 + 17*b36*b508 + 149*b36*b510
      + 16*b37*b50 + 450*b37 + 71*b37*b54 + 73*b37*b57 + 104*b37*b58 + 7*b37*
     b59 + 27*b37*b63 + 15*b37*b64 + 24*b37*b65 + 15*b37*b66 + 36*b37*b69 + 101
     *b37*b71 + 15*b37*b72 + 20*b37*b75 + 59*b37*b81 + 15*b37*b82 + 23*b37*b87
      + 49*b37*b90 + 39*b37*b91 + 40*b37*b92 + 16*b37*b93 + 18*b37*b95 + 16*b37
     *b96 + 19*b37*b108 + 45*b37*b110 + 15*b37*b113 + 4*b37*b117 + 5*b37*b119
      + 37*b37*b120 + 15*b37*b124 + 11*b37*b125 + 76*b37*b126 + 9*b37*b135 + 
     b37*b139 + 7*b37*b140 + 10*b37*b141 + 73*b37*b143 + 31*b37*b144 + 110*b37*
     b145 + 62*b37*b147 + 11*b37*b149 + 18*b37*b151 + 11*b37*b154 + 6*b37*b155
      + 2*b37*b156 + 69*b37*b158 + 9*b37*b162 + 24*b37*b165 + 41*b37*b166 + 12*
     b37*b170 + 13*b37*b171 + 29*b37*b173 + 3*b37*b174 + 12*b37*b175 + 51*b37*
     b176 + 14*b37*b177 + 66*b37*b179 + 27*b37*b180 + 13*b37*b182 + 22*b37*b183
      + 3*b37*b185 + 27*b37*b189 + 22*b37*b190 + 30*b37*b192 + 48*b37*b194 + 2*
     b37*b197 + 33*b37*b201 + 45*b37*b203 + 32*b37*b204 + 48*b37*b206 + 40*b37*
     b210 + 21*b37*b213 + 59*b37*b214 + 31*b37*b215 + 7*b37*b216 + 15*b37*b217
      + 41*b37*b218 + 31*b37*b219 + 20*b37*b221 + 36*b37*b223 + 3*b37*b226 + 16
     *b37*b228 + 4*b37*b232 + 49*b37*b236 + b37*b238 + 4*b37*b240 + 19*b37*b241
      + 36*b37*b245 + 55*b37*b248 + 8*b37*b250 + 6*b37*b310 + 36*b37*b311 + 18*
     b37*b313 + 27*b37*b317 + 18*b37*b321 + 11*b37*b324 + 71*b37*b328 + 125*b37
     *b329 + 51*b37*b332 + 11*b37*b333 + 12*b37*b334 + 41*b37*b336 + 7*b37*b337
      + 61*b37*b338 + 10*b37*b339 + 141*b37*b340 + 7*b37*b342 + 37*b37*b344 + 
     87*b37*b345 + 24*b37*b348 + 33*b37*b349 + 4*b37*b350 + 15*b37*b351 + 30*
     b37*b353 + 29*b37*b354 + 9*b37*b355 + 58*b37*b357 + 11*b37*b358 + 11*b37*
     b359 + 49*b37*b362 + 33*b37*b366 + 20*b37*b370 + 16*b37*b373 + 122*b37*
     b374 + 37*b37*b375 + 121*b37*b376 + 58*b37*b377 + 7*b37*b378 + 23*b37*b379
      + 31*b37*b380 + 48*b37*b381 + 36*b37*b384 + 13*b37*b388 + 28*b37*b389 + 
     27*b37*b391 + 17*b37*b393 + 17*b37*b396 + 111*b37*b398 + 20*b37*b400 + 2*
     b37*b401 + 37*b37*b402 + 37*b37*b403 + 15*b37*b404 + 61*b37*b405 + 9*b37*
     b406 + 15*b37*b409 + 26*b37*b410 + 10*b37*b411 + 58*b37*b412 + 8*b37*b413
      + 16*b37*b414 + 23*b37*b415 + 37*b37*b418 + 53*b37*b422 + 3*b37*b424 + 36
     *b37*b425 + 11*b37*b427 + 24*b37*b435 + 38*b37*b436 + 18*b37*b437 + 18*b37
     *b438 + 16*b37*b440 + 5*b37*b442 + 5*b37*b443 + 7*b37*b446 + 5*b37*b447 + 
     b37*b450 + 26*b37*b451 + 37*b37*b453 + b37*b455 + 68*b37*b456 + 17*b37*
     b460 + 23*b37*b461 + 100*b37*b464 + 42*b37*b466 + 34*b37*b467 + 55*b37*
     b468 + 40*b37*b470 + 22*b37*b471 + 30*b37*b472 + 17*b37*b473 + 10*b37*b475
      + 9*b37*b477 + 66*b37*b478 + 3*b37*b480 + 29*b37*b481 + 32*b37*b482 + 6*
     b37*b483 + 33*b37*b484 + 24*b37*b488 + 23*b37*b492 + 2*b37*b496 + 17*b37*
     b498 + 99*b37*b505 + 105*b37*b507 + 64*b38*b49 + 426*b38 + 12*b38*b50 + 67
     *b38*b52 + 6*b38*b54 + 34*b38*b55 + 31*b38*b56 + 45*b38*b57 + 19*b38*b58
      + 3*b38*b62 + 19*b38*b64 + 3*b38*b66 + 102*b38*b67 + 52*b38*b68 + 70*b38*
     b70 + 13*b38*b74 + 43*b38*b78 + 53*b38*b81 + 39*b38*b82 + 39*b38*b84 + 35*
     b38*b85 + 58*b38*b86 + 38*b38*b87 + 87*b38*b88 + 6*b38*b89 + 27*b38*b90 + 
     21*b38*b91 + 18*b38*b94 + 9*b38*b95 + 21*b38*b97 + 50*b38*b99 + 29*b38*
     b102 + 4*b38*b103 + 207*b38*b104 + 29*b38*b106 + 11*b38*b109 + 69*b38*b111
      + 6*b38*b116 + 15*b38*b117 + 27*b38*b118 + 48*b38*b121 + 13*b38*b123 + 25
     *b38*b124 + 89*b38*b125 + 17*b38*b126 + 55*b38*b127 + 25*b38*b129 + 17*b38
     *b132 + 17*b38*b134 + 6*b38*b137 + 37*b38*b139 + 4*b38*b140 + 11*b38*b143
      + 3*b38*b145 + 10*b38*b146 + 2*b38*b147 + 5*b38*b148 + 14*b38*b153 + 35*
     b38*b154 + 2*b38*b155 + 82*b38*b156 + 24*b38*b159 + 85*b38*b164 + 4*b38*
     b167 + 3*b38*b168 + 42*b38*b169 + 30*b38*b170 + 22*b38*b171 + 50*b38*b172
      + 15*b38*b173 + 8*b38*b174 + 7*b38*b178 + 55*b38*b179 + 23*b38*b181 + 9*
     b38*b182 + 11*b38*b183 + 32*b38*b185 + 7*b38*b187 + 22*b38*b188 + 21*b38*
     b189 + 2*b38*b190 + 30*b38*b191 + 34*b38*b192 + 8*b38*b194 + 79*b38*b196
      + 12*b38*b199 + 28*b38*b200 + 14*b38*b201 + 50*b38*b203 + 12*b38*b205 + 4
     *b38*b206 + b38*b209 + 11*b38*b210 + 7*b38*b215 + 30*b38*b216 + b38*b217
      + 2*b38*b218 + 6*b38*b219 + 47*b38*b220 + 55*b38*b221 + 69*b38*b223 + 100
     *b38*b226 + 188*b38*b227 + 12*b38*b228 + 42*b38*b229 + 50*b38*b232 + 9*b38
     *b234 + 91*b38*b240 + 9*b38*b241 + 8*b38*b248 + 40*b38*b250 + 10*b38*b251
      + 7*b38*b310 + 61*b38*b313 + 73*b38*b316 + 5*b38*b318 + 14*b38*b320 + 6*
     b38*b322 + 29*b38*b325 + 21*b38*b334 + 12*b38*b339 + 14*b38*b340 + 13*b38*
     b342 + 17*b38*b343 + b38*b345 + 80*b38*b350 + 22*b38*b351 + 36*b38*b352 + 
     26*b38*b354 + 19*b38*b355 + 21*b38*b358 + 35*b38*b359 + b38*b360 + 2*b38*
     b361 + 4*b38*b365 + 21*b38*b366 + 6*b38*b368 + 15*b38*b373 + 31*b38*b377
      + 7*b38*b378 + 2*b38*b380 + 26*b38*b386 + 72*b38*b388 + 27*b38*b390 + 14*
     b38*b392 + 27*b38*b393 + b38*b396 + 42*b38*b397 + 39*b38*b398 + 30*b38*
     b399 + 58*b38*b400 + 117*b38*b402 + 43*b38*b405 + 4*b38*b407 + 24*b38*b410
      + 67*b38*b411 + 2*b38*b414 + 3*b38*b416 + 11*b38*b418 + 82*b38*b424 + 15*
     b38*b425 + 129*b38*b426 + 82*b38*b427 + 10*b38*b430 + 37*b38*b432 + 16*b38
     *b434 + 79*b38*b435 + 3*b38*b438 + 17*b38*b439 + 3*b38*b443 + 20*b38*b444
      + 4*b38*b446 + 64*b38*b451 + 40*b38*b453 + 7*b38*b454 + 14*b38*b457 + 11*
     b38*b461 + 32*b38*b463 + 15*b38*b465 + b38*b468 + 30*b38*b470 + 9*b38*b471
      + 38*b38*b473 + 4*b38*b476 + b38*b477 + 6*b38*b478 + 22*b38*b481 + 3*b38*
     b482 + 89*b38*b483 + 7*b38*b484 + 31*b38*b485 + 49*b38*b486 + 9*b38*b487
      + 137*b38*b488 + 8*b38*b490 + 11*b38*b491 + 18*b38*b496 + 22*b38*b499 + 
     15*b38*b504 + 10*b38*b506 + 15*b38*b508 + 56*b39*b49 + 1677*b39 + 149*b39*
     b51 + 12*b39*b52 + 4*b39*b53 + 35*b39*b54 + 25*b39*b55 + 38*b39*b57 + 13*
     b39*b60 + 25*b39*b62 + 13*b39*b63 + 44*b39*b64 + 29*b39*b65 + 13*b39*b66
      + 129*b39*b67 + b39*b69 + 82*b39*b70 + 32*b39*b71 + 21*b39*b72 + 40*b39*
     b74 + 104*b39*b77 + 161*b39*b78 + 55*b39*b81 + 41*b39*b83 + 36*b39*b84 + 
     17*b39*b85 + 8*b39*b86 + 48*b39*b87 + 27*b39*b88 + 18*b39*b89 + 21*b39*b90
      + 4*b39*b96 + 49*b39*b98 + 53*b39*b99 + 13*b39*b100 + 7*b39*b101 + 130*
     b39*b104 + 13*b39*b105 + 35*b39*b106 + 16*b39*b108 + b39*b110 + 28*b39*
     b114 + 42*b39*b115 + 39*b39*b116 + 8*b39*b117 + 3*b39*b118 + 11*b39*b119
      + 36*b39*b121 + 14*b39*b122 + 88*b39*b124 + 13*b39*b127 + 23*b39*b129 + 
     63*b39*b132 + 34*b39*b134 + 32*b39*b140 + 52*b39*b142 + b39*b143 + 20*b39*
     b147 + 3*b39*b154 + 40*b39*b156 + 28*b39*b159 + 4*b39*b161 + 59*b39*b162
      + 53*b39*b165 + 14*b39*b167 + 41*b39*b168 + 75*b39*b169 + 17*b39*b170 + 
     15*b39*b171 + 13*b39*b173 + 83*b39*b175 + 11*b39*b176 + 42*b39*b177 + 6*
     b39*b179 + 20*b39*b183 + 14*b39*b188 + 13*b39*b189 + 3*b39*b190 + 60*b39*
     b191 + 17*b39*b192 + 30*b39*b193 + 34*b39*b194 + 60*b39*b196 + 10*b39*b198
      + 27*b39*b199 + 27*b39*b200 + 32*b39*b201 + 36*b39*b202 + 13*b39*b203 + 2
     *b39*b204 + 33*b39*b207 + 11*b39*b208 + 61*b39*b212 + 11*b39*b213 + 6*b39*
     b220 + 46*b39*b221 + 85*b39*b222 + 13*b39*b229 + 36*b39*b230 + 14*b39*b231
      + 102*b39*b232 + 30*b39*b236 + 13*b39*b240 + 54*b39*b241 + 45*b39*b242 + 
     13*b39*b243 + 37*b39*b244 + 9*b39*b248 + 9*b39*b250 + 3*b39*b251 + 16*b39*
     b258 + 4*b39*b310 + 130*b39*b316 + 5*b39*b320 + 10*b39*b322 + 115*b39*b325
      + 44*b39*b327 + 4*b39*b331 + 13*b39*b332 + 4*b39*b333 + 40*b39*b336 + 2*
     b39*b339 + 123*b39*b347 + 17*b39*b352 + 33*b39*b353 + 6*b39*b354 + 8*b39*
     b356 + 30*b39*b357 + 45*b39*b358 + 2*b39*b359 + 58*b39*b361 + 54*b39*b366
      + 18*b39*b368 + 3*b39*b376 + 29*b39*b379 + 51*b39*b380 + 19*b39*b381 + 27
     *b39*b382 + 17*b39*b383 + 26*b39*b387 + 4*b39*b388 + 9*b39*b391 + 2*b39*
     b393 + 18*b39*b396 + 4*b39*b398 + 10*b39*b399 + 20*b39*b401 + 138*b39*b402
      + 17*b39*b403 + 38*b39*b404 + 47*b39*b405 + 2*b39*b407 + 86*b39*b408 + 
     b39*b409 + 14*b39*b412 + 45*b39*b414 + 36*b39*b418 + 17*b39*b420 + 8*b39*
     b421 + 5*b39*b422 + 59*b39*b426 + 54*b39*b427 + 20*b39*b428 + 6*b39*b429
      + 11*b39*b430 + 9*b39*b431 + 50*b39*b433 + 36*b39*b437 + 22*b39*b438 + 9*
     b39*b441 + 40*b39*b443 + 34*b39*b444 + 2*b39*b446 + 107*b39*b448 + 4*b39*
     b452 + 23*b39*b457 + 12*b39*b459 + 33*b39*b463 + 26*b39*b464 + 26*b39*b465
      + 22*b39*b466 + 66*b39*b473 + b39*b476 + 7*b39*b478 + 9*b39*b479 + 26*b39
     *b482 + 41*b39*b483 + 42*b39*b485 + 121*b39*b486 + 32*b39*b487 + 13*b39*
     b492 + 15*b39*b493 + 2*b39*b496 + 21*b39*b498 + 25*b39*b500 + 19*b39*b501
      + 13*b39*b502 + 11*b39*b505 + 14*b39*b508 + 6*b40*b51 + 1106*b40 + 71*b40
     *b52 + 5*b40*b54 + 12*b40*b60 + 17*b40*b63 + 36*b40*b64 + 51*b40*b65 + 55*
     b40*b67 + 80*b40*b70 + 31*b40*b71 + 25*b40*b72 + 36*b40*b74 + 4*b40*b75 + 
     50*b40*b76 + 49*b40*b78 + 7*b40*b79 + 27*b40*b80 + 10*b40*b82 + 42*b40*b84
      + 172*b40*b86 + 5*b40*b90 + 11*b40*b92 + 46*b40*b95 + 42*b40*b97 + 180*
     b40*b98 + 12*b40*b99 + b40*b100 + 13*b40*b101 + 29*b40*b104 + 20*b40*b106
      + 22*b40*b107 + 24*b40*b108 + 63*b40*b111 + 9*b40*b113 + 36*b40*b115 + 15
     *b40*b116 + 117*b40*b117 + 2*b40*b119 + 26*b40*b129 + 45*b40*b130 + 18*b40
     *b132 + 18*b40*b133 + 17*b40*b134 + 31*b40*b137 + 12*b40*b140 + 45*b40*
     b142 + 62*b40*b144 + 15*b40*b145 + 66*b40*b147 + 92*b40*b151 + 4*b40*b153
      + 12*b40*b154 + 31*b40*b159 + 7*b40*b161 + 20*b40*b163 + 100*b40*b164 + 
     17*b40*b167 + 133*b40*b168 + 3*b40*b169 + 29*b40*b170 + 8*b40*b174 + 2*b40
     *b176 + 11*b40*b178 + 13*b40*b179 + 20*b40*b183 + 15*b40*b187 + 29*b40*
     b190 + 20*b40*b192 + 35*b40*b193 + 10*b40*b195 + 53*b40*b196 + 22*b40*b197
      + 30*b40*b198 + 33*b40*b199 + 57*b40*b200 + 31*b40*b201 + 6*b40*b202 + 25
     *b40*b204 + 11*b40*b205 + 33*b40*b207 + 58*b40*b208 + 51*b40*b209 + 3*b40*
     b210 + 11*b40*b211 + 16*b40*b212 + 35*b40*b213 + 25*b40*b214 + 20*b40*b218
      + 124*b40*b222 + 141*b40*b223 + 5*b40*b226 + 39*b40*b231 + 10*b40*b234 + 
     70*b40*b244 + 19*b40*b247 + 5*b40*b310 + 12*b40*b311 + 164*b40*b313 + 14*
     b40*b315 + 39*b40*b316 + 27*b40*b317 + 15*b40*b320 + 43*b40*b322 + 56*b40*
     b323 + 12*b40*b326 + 15*b40*b327 + 26*b40*b329 + 21*b40*b331 + 34*b40*b332
      + 11*b40*b336 + 83*b40*b339 + 32*b40*b340 + 97*b40*b342 + 53*b40*b344 + 
     13*b40*b345 + 30*b40*b346 + 3*b40*b347 + 4*b40*b352 + 22*b40*b354 + 29*b40
     *b357 + 48*b40*b358 + 103*b40*b359 + 8*b40*b360 + 43*b40*b361 + b40*b364
      + 114*b40*b368 + 38*b40*b369 + 14*b40*b370 + 2*b40*b372 + 67*b40*b373 + 
     15*b40*b374 + 4*b40*b382 + 57*b40*b384 + 6*b40*b385 + 15*b40*b386 + 27*b40
     *b388 + 43*b40*b390 + 28*b40*b391 + 39*b40*b392 + 14*b40*b394 + 35*b40*
     b396 + 19*b40*b401 + 19*b40*b402 + 8*b40*b403 + 95*b40*b404 + 9*b40*b410
      + 65*b40*b412 + 11*b40*b414 + 47*b40*b417 + 38*b40*b418 + 65*b40*b419 + 
     23*b40*b421 + 57*b40*b422 + 14*b40*b424 + 9*b40*b425 + 11*b40*b427 + 98*
     b40*b428 + 4*b40*b430 + 91*b40*b433 + 11*b40*b434 + 17*b40*b435 + 36*b40*
     b436 + 15*b40*b437 + 7*b40*b441 + 13*b40*b442 + 157*b40*b443 + 25*b40*b448
      + 25*b40*b452 + 31*b40*b455 + 13*b40*b457 + 24*b40*b458 + 47*b40*b459 + 2
     *b40*b460 + 18*b40*b465 + 7*b40*b472 + 30*b40*b473 + 26*b40*b474 + 15*b40*
     b475 + 133*b40*b479 + 6*b40*b481 + 12*b40*b482 + 60*b40*b483 + 2*b40*b484
      + 17*b40*b485 + 50*b40*b486 + 11*b40*b491 + 30*b40*b493 + 19*b40*b494 + 
     16*b40*b495 + 17*b40*b497 + 20*b40*b501 + 31*b40*b502 + 70*b40*b503 + b40*
     b507 + 66*b40*b508 + 26*b40*b509 + 4*b41*b52 + 34*b41 + 44*b41*b54 + 48*
     b41*b55 + 27*b41*b56 + 24*b41*b57 + 47*b41*b58 + 53*b41*b59 + 63*b41*b64
      + 20*b41*b66 + b41*b68 + 5*b41*b69 + 12*b41*b70 + 7*b41*b72 + 41*b41*b74
      + 20*b41*b75 + 23*b41*b77 + 11*b41*b78 + 19*b41*b80 + 39*b41*b82 + 21*b41
     *b83 + 31*b41*b84 + 30*b41*b90 + 36*b41*b91 + 34*b41*b92 + 28*b41*b97 + 13
     *b41*b98 + 17*b41*b102 + 17*b41*b103 + 118*b41*b108 + 3*b41*b113 + 134*b41
     *b114 + b41*b115 + 81*b41*b118 + 12*b41*b119 + 20*b41*b121 + b41*b127 + 17
     *b41*b131 + 36*b41*b132 + 94*b41*b133 + 54*b41*b135 + 3*b41*b136 + 22*b41*
     b138 + 25*b41*b140 + 5*b41*b147 + 5*b41*b149 + 10*b41*b150 + 11*b41*b152
      + 28*b41*b153 + 32*b41*b158 + 16*b41*b161 + 37*b41*b164 + 19*b41*b166 + 
     14*b41*b167 + 19*b41*b172 + 16*b41*b173 + 68*b41*b179 + 21*b41*b182 + 80*
     b41*b187 + 9*b41*b192 + 34*b41*b193 + 43*b41*b194 + 2*b41*b197 + 83*b41*
     b198 + 8*b41*b200 + 53*b41*b201 + 31*b41*b203 + 58*b41*b204 + 18*b41*b205
      + b41*b208 + 22*b41*b209 + 61*b41*b210 + b41*b214 + 36*b41*b217 + 30*b41*
     b218 + 68*b41*b220 + 35*b41*b221 + 12*b41*b223 + 31*b41*b226 + 163*b41*
     b230 + 15*b41*b243 + 14*b41*b245 + 4*b41*b310 + 3*b41*b311 + 23*b41*b313
      + 106*b41*b317 + 132*b41*b318 + 88*b41*b320 + 37*b41*b321 + 7*b41*b322 + 
     77*b41*b323 + 2*b41*b326 + 17*b41*b327 + 27*b41*b329 + 32*b41*b332 + 52*
     b41*b335 + 45*b41*b337 + 8*b41*b338 + 50*b41*b339 + 74*b41*b340 + 42*b41*
     b341 + 11*b41*b345 + 11*b41*b347 + 131*b41*b349 + 32*b41*b350 + 10*b41*
     b351 + 40*b41*b353 + 5*b41*b355 + 65*b41*b356 + 5*b41*b357 + b41*b358 + 9*
     b41*b359 + 21*b41*b360 + 21*b41*b362 + 27*b41*b363 + 4*b41*b364 + 6*b41*
     b365 + 38*b41*b366 + 2*b41*b368 + 6*b41*b369 + 66*b41*b370 + 42*b41*b372
      + 46*b41*b373 + 27*b41*b374 + 55*b41*b375 + 41*b41*b380 + 36*b41*b381 + 
     31*b41*b382 + 26*b41*b386 + 78*b41*b388 + 4*b41*b390 + 48*b41*b391 + 46*
     b41*b392 + 14*b41*b393 + 38*b41*b394 + 30*b41*b396 + 75*b41*b397 + 60*b41*
     b398 + 8*b41*b400 + 47*b41*b402 + 28*b41*b404 + 56*b41*b405 + 11*b41*b408
      + 28*b41*b409 + 8*b41*b412 + 2*b41*b413 + 2*b41*b415 + 32*b41*b416 + 22*
     b41*b418 + 63*b41*b422 + 46*b41*b428 + 29*b41*b429 + 72*b41*b430 + b41*
     b431 + 52*b41*b432 + 10*b41*b433 + 11*b41*b436 + 24*b41*b438 + 75*b41*b440
      + 12*b41*b441 + 36*b41*b444 + 38*b41*b445 + 49*b41*b446 + 64*b41*b449 + 
     68*b41*b450 + 11*b41*b451 + 29*b41*b452 + 11*b41*b453 + 13*b41*b454 + 36*
     b41*b455 + 24*b41*b456 + 23*b41*b458 + 13*b41*b470 + 42*b41*b475 + 42*b41*
     b477 + 17*b41*b478 + 5*b41*b479 + 8*b41*b481 + 36*b41*b482 + 31*b41*b483
      + 101*b41*b484 + 60*b41*b485 + b41*b487 + 24*b41*b488 + 3*b41*b489 + 38*
     b41*b490 + 10*b41*b491 + 26*b41*b494 + 3*b41*b495 + 22*b41*b497 + 14*b41*
     b498 + 32*b41*b501 + 44*b41*b502 + 12*b41*b503 + 36*b41*b506 + 32*b41*b508
      + 3*b41*b510 + 13*b42*b52 + 2012*b42 + 14*b42*b54 + 2*b42*b56 + 84*b42*
     b57 + 31*b42*b58 + 32*b42*b59 + 111*b42*b60 + 33*b42*b63 + 61*b42*b65 + 6*
     b42*b67 + 21*b42*b68 + 129*b42*b69 + 36*b42*b70 + 62*b42*b72 + 66*b42*b73
      + 36*b42*b79 + 14*b42*b80 + 24*b42*b81 + 15*b42*b82 + 25*b42*b83 + 6*b42*
     b84 + 2*b42*b87 + 27*b42*b91 + 20*b42*b95 + 5*b42*b98 + b42*b99 + 46*b42*
     b100 + 9*b42*b102 + 141*b42*b108 + 54*b42*b113 + 48*b42*b114 + 3*b42*b117
      + 33*b42*b118 + 16*b42*b119 + 70*b42*b120 + 16*b42*b123 + 2*b42*b124 + 15
     *b42*b125 + 21*b42*b126 + 8*b42*b128 + 8*b42*b132 + b42*b134 + 25*b42*b142
      + 17*b42*b143 + 156*b42*b145 + 7*b42*b152 + 39*b42*b159 + 15*b42*b167 + 7
     *b42*b168 + 5*b42*b171 + 16*b42*b173 + 6*b42*b174 + 42*b42*b176 + 28*b42*
     b177 + 11*b42*b178 + 131*b42*b179 + 2*b42*b181 + 2*b42*b183 + 16*b42*b187
      + 8*b42*b189 + 32*b42*b190 + 22*b42*b194 + 4*b42*b195 + 25*b42*b196 + 4*
     b42*b197 + 6*b42*b201 + 88*b42*b204 + 16*b42*b205 + 12*b42*b207 + 4*b42*
     b208 + 8*b42*b209 + 43*b42*b210 + 10*b42*b212 + 89*b42*b213 + 6*b42*b214
      + 37*b42*b215 + 7*b42*b216 + 73*b42*b218 + 95*b42*b219 + 4*b42*b220 + 38*
     b42*b222 + 14*b42*b229 + 17*b42*b232 + 6*b42*b236 + 8*b42*b241 + 31*b42*
     b244 + 47*b42*b248 + 22*b42*b251 + 4*b42*b310 + 24*b42*b311 + 6*b42*b313
      + 145*b42*b317 + 30*b42*b319 + 6*b42*b320 + 17*b42*b322 + 7*b42*b325 + 24
     *b42*b327 + 16*b42*b329 + 20*b42*b330 + 37*b42*b332 + 23*b42*b333 + 6*b42*
     b337 + 25*b42*b338 + 27*b42*b339 + 26*b42*b340 + 29*b42*b344 + 41*b42*b345
      + 63*b42*b346 + 5*b42*b350 + 5*b42*b352 + 3*b42*b353 + 115*b42*b354 + 26*
     b42*b357 + 24*b42*b358 + 19*b42*b359 + 41*b42*b360 + 26*b42*b361 + 38*b42*
     b363 + 5*b42*b368 + 37*b42*b370 + 64*b42*b371 + 19*b42*b373 + 38*b42*b380
      + 37*b42*b381 + 19*b42*b385 + 6*b42*b387 + 2*b42*b389 + 16*b42*b390 + 33*
     b42*b391 + 11*b42*b392 + 6*b42*b393 + 104*b42*b395 + 54*b42*b396 + 31*b42*
     b402 + 2*b42*b404 + 25*b42*b405 + 13*b42*b406 + 19*b42*b407 + 29*b42*b409
      + 47*b42*b411 + 49*b42*b413 + 15*b42*b414 + 10*b42*b416 + 22*b42*b418 + 
     98*b42*b419 + 6*b42*b421 + 10*b42*b425 + 41*b42*b427 + 53*b42*b428 + 5*b42
     *b430 + 3*b42*b433 + 2*b42*b435 + 7*b42*b436 + 5*b42*b438 + 12*b42*b440 + 
     32*b42*b442 + b42*b443 + 5*b42*b444 + 13*b42*b445 + 6*b42*b446 + 18*b42*
     b448 + 11*b42*b451 + 22*b42*b452 + 17*b42*b453 + 61*b42*b457 + 31*b42*b458
      + 3*b42*b459 + 28*b42*b460 + 26*b42*b461 + 7*b42*b463 + 64*b42*b464 + b42
     *b465 + 6*b42*b466 + 30*b42*b467 + 6*b42*b468 + 115*b42*b471 + 58*b42*b472
      + 5*b42*b475 + 14*b42*b479 + 24*b42*b480 + 37*b42*b481 + 7*b42*b483 + 100
     *b42*b484 + 8*b42*b486 + 8*b42*b487 + 21*b42*b490 + 11*b42*b491 + 30*b42*
     b494 + 32*b42*b500 + 62*b42*b501 + 10*b42*b503 + 31*b42*b505 + 11*b42*b508
      + 8*b42*b509 + 25*b43*b52 + 79*b43 + 30*b43*b53 + 50*b43*b61 + 36*b43*b62
      + 22*b43*b66 + 41*b43*b70 + 13*b43*b72 + b43*b74 + 2*b43*b75 + 82*b43*b76
      + 19*b43*b77 + 26*b43*b79 + 90*b43*b81 + 43*b43*b82 + 11*b43*b83 + 10*b43
     *b85 + 9*b43*b86 + 60*b43*b88 + 9*b43*b89 + 33*b43*b90 + 6*b43*b92 + 114*
     b43*b94 + 21*b43*b96 + 178*b43*b97 + 3*b43*b99 + 22*b43*b100 + 2*b43*b101
      + 42*b43*b102 + 52*b43*b105 + 7*b43*b107 + 13*b43*b110 + 12*b43*b111 + 53
     *b43*b112 + 32*b43*b115 + 122*b43*b116 + 6*b43*b118 + 4*b43*b119 + 29*b43*
     b120 + 7*b43*b122 + 13*b43*b124 + 32*b43*b126 + b43*b128 + 11*b43*b129 + 
     32*b43*b134 + 21*b43*b135 + 44*b43*b136 + 114*b43*b137 + 28*b43*b140 + 17*
     b43*b141 + 109*b43*b143 + 3*b43*b146 + 22*b43*b147 + 2*b43*b151 + 3*b43*
     b155 + 15*b43*b156 + 34*b43*b158 + 63*b43*b159 + 49*b43*b163 + 27*b43*b164
      + 6*b43*b165 + 79*b43*b166 + 20*b43*b167 + 13*b43*b171 + b43*b173 + 30*
     b43*b177 + 10*b43*b179 + 17*b43*b181 + 22*b43*b183 + 6*b43*b185 + 166*b43*
     b188 + 113*b43*b190 + 16*b43*b192 + 96*b43*b194 + 20*b43*b195 + 16*b43*
     b196 + 8*b43*b197 + 10*b43*b198 + 29*b43*b201 + 16*b43*b202 + 30*b43*b204
      + 61*b43*b205 + 59*b43*b212 + 17*b43*b213 + 17*b43*b214 + 10*b43*b215 + 
     35*b43*b217 + 8*b43*b220 + 6*b43*b221 + 15*b43*b222 + 42*b43*b228 + 38*b43
     *b233 + 29*b43*b234 + 13*b43*b235 + 7*b43*b236 + 42*b43*b248 + 14*b43*b251
      + 41*b43*b258 + 7*b43*b310 + 79*b43*b311 + 13*b43*b314 + 9*b43*b315 + 9*
     b43*b318 + 71*b43*b319 + 11*b43*b320 + 172*b43*b321 + 51*b43*b322 + 37*b43
     *b328 + 53*b43*b331 + 30*b43*b334 + 179*b43*b336 + 17*b43*b337 + 37*b43*
     b338 + 31*b43*b341 + 21*b43*b342 + 52*b43*b344 + 25*b43*b346 + 28*b43*b347
      + 17*b43*b348 + 29*b43*b350 + 2*b43*b351 + 110*b43*b352 + 20*b43*b354 + 
     31*b43*b355 + 36*b43*b356 + 60*b43*b358 + 6*b43*b359 + 4*b43*b360 + 2*b43*
     b362 + 28*b43*b363 + 44*b43*b365 + 212*b43*b366 + 25*b43*b368 + 14*b43*
     b369 + 101*b43*b370 + 41*b43*b372 + 10*b43*b373 + 5*b43*b375 + 56*b43*b377
      + 84*b43*b378 + 37*b43*b379 + 64*b43*b382 + 22*b43*b383 + 3*b43*b387 + 22
     *b43*b388 + 60*b43*b391 + 20*b43*b393 + 15*b43*b396 + 15*b43*b401 + 31*b43
     *b403 + 2*b43*b404 + 64*b43*b406 + 32*b43*b408 + 3*b43*b410 + 5*b43*b412
      + 23*b43*b414 + 21*b43*b419 + 6*b43*b420 + 31*b43*b425 + 26*b43*b426 + 5*
     b43*b428 + 9*b43*b429 + 36*b43*b430 + 14*b43*b431 + 17*b43*b432 + 23*b43*
     b433 + 9*b43*b434 + 9*b43*b439 + 94*b43*b442 + 8*b43*b443 + 213*b43*b445
      + 23*b43*b448 + 26*b43*b452 + 62*b43*b453 + 4*b43*b454 + 28*b43*b455 + 
     b43*b458 + 8*b43*b460 + 6*b43*b461 + 58*b43*b463 + 12*b43*b464 + 111*b43*
     b467 + 12*b43*b470 + 4*b43*b472 + 12*b43*b473 + 29*b43*b480 + 28*b43*b483
      + 12*b43*b491 + 25*b43*b493 + 7*b43*b495 + 8*b43*b496 + 30*b43*b497 + 19*
     b43*b498 + 30*b43*b500 + 15*b43*b505 + 6*b43*b508 + 20*b44*b51 + 1858*b44
      + 58*b44*b54 + 28*b44*b57 + 15*b44*b59 + b44*b60 + 8*b44*b61 + 11*b44*b63
      + 12*b44*b64 + 9*b44*b65 + 19*b44*b66 + 52*b44*b68 + 8*b44*b69 + 5*b44*
     b70 + 38*b44*b71 + 21*b44*b72 + 23*b44*b75 + 9*b44*b77 + 10*b44*b78 + 59*
     b44*b80 + 9*b44*b83 + 17*b44*b89 + 2*b44*b90 + 17*b44*b91 + 5*b44*b92 + 62
     *b44*b93 + 17*b44*b95 + 63*b44*b98 + 29*b44*b100 + 14*b44*b102 + 16*b44*
     b103 + 9*b44*b105 + 15*b44*b107 + 59*b44*b108 + 23*b44*b110 + 16*b44*b111
      + 24*b44*b117 + 82*b44*b120 + 29*b44*b122 + 4*b44*b124 + 47*b44*b126 + 13
     *b44*b129 + 3*b44*b131 + 63*b44*b133 + 8*b44*b140 + 11*b44*b145 + 7*b44*
     b147 + 95*b44*b149 + 31*b44*b150 + 7*b44*b152 + 57*b44*b154 + 6*b44*b155
      + 5*b44*b157 + 7*b44*b158 + 162*b44*b162 + 30*b44*b165 + 13*b44*b167 + 19
     *b44*b169 + 30*b44*b170 + 21*b44*b172 + 13*b44*b173 + 8*b44*b175 + 2*b44*
     b178 + 35*b44*b179 + 106*b44*b180 + 13*b44*b182 + 5*b44*b183 + 80*b44*b185
      + 46*b44*b187 + 8*b44*b188 + 21*b44*b189 + 109*b44*b191 + 11*b44*b195 + 
     27*b44*b196 + 55*b44*b200 + 5*b44*b201 + 9*b44*b202 + 90*b44*b207 + 19*b44
     *b210 + 21*b44*b211 + 16*b44*b212 + 33*b44*b213 + 132*b44*b216 + 168*b44*
     b217 + 17*b44*b219 + 33*b44*b221 + 9*b44*b222 + 8*b44*b223 + 21*b44*b225
      + 28*b44*b226 + 33*b44*b227 + 7*b44*b232 + 16*b44*b235 + 9*b44*b244 + 16*
     b44*b258 + 3*b44*b310 + 11*b44*b311 + 16*b44*b312 + 20*b44*b313 + 4*b44*
     b317 + 4*b44*b321 + 5*b44*b322 + 55*b44*b323 + 67*b44*b326 + 26*b44*b327
      + 19*b44*b328 + 67*b44*b332 + 162*b44*b333 + 21*b44*b335 + 50*b44*b337 + 
     5*b44*b338 + 111*b44*b339 + 30*b44*b342 + 3*b44*b343 + 7*b44*b344 + 10*b44
     *b346 + 2*b44*b347 + 66*b44*b348 + 65*b44*b349 + 2*b44*b350 + 10*b44*b352
      + 82*b44*b353 + 5*b44*b354 + 23*b44*b355 + 54*b44*b358 + 5*b44*b362 + 5*
     b44*b364 + 56*b44*b365 + 41*b44*b366 + 51*b44*b368 + 5*b44*b371 + 48*b44*
     b372 + 22*b44*b374 + 3*b44*b375 + 78*b44*b376 + 49*b44*b378 + 120*b44*b381
      + 14*b44*b384 + 21*b44*b386 + 50*b44*b388 + 48*b44*b389 + 33*b44*b390 + 
     44*b44*b391 + 8*b44*b393 + 186*b44*b394 + 24*b44*b397 + 18*b44*b399 + 13*
     b44*b401 + 88*b44*b405 + 39*b44*b410 + 5*b44*b411 + 96*b44*b412 + 33*b44*
     b415 + 41*b44*b417 + 28*b44*b418 + 25*b44*b419 + 73*b44*b422 + 14*b44*b423
      + 44*b44*b425 + 4*b44*b426 + 44*b44*b427 + 45*b44*b428 + 5*b44*b429 + 42*
     b44*b433 + 28*b44*b440 + 101*b44*b442 + 22*b44*b444 + 77*b44*b446 + 129*
     b44*b449 + 14*b44*b452 + 8*b44*b455 + 3*b44*b457 + 13*b44*b458 + 23*b44*
     b460 + 14*b44*b461 + 15*b44*b464 + 19*b44*b466 + 9*b44*b468 + 43*b44*b471
      + 10*b44*b472 + 21*b44*b476 + 7*b44*b478 + 50*b44*b482 + 5*b44*b486 + 7*
     b44*b490 + 51*b44*b493 + 22*b44*b497 + 30*b44*b502 + 32*b44*b503 + 11*b44*
     b504 + 144*b44*b507 + 15*b45*b50 + 1590*b45 + b45*b52 + 119*b45*b54 + 43*
     b45*b57 + 48*b45*b58 + 22*b45*b61 + 5*b45*b62 + 6*b45*b63 + 26*b45*b64 + 
     45*b45*b65 + 19*b45*b66 + 11*b45*b67 + 13*b45*b71 + 24*b45*b74 + 58*b45*
     b75 + 3*b45*b76 + 10*b45*b77 + 21*b45*b80 + 17*b45*b82 + 5*b45*b83 + 8*b45
     *b85 + 15*b45*b86 + 42*b45*b87 + 22*b45*b90 + 25*b45*b92 + 20*b45*b93 + 
     200*b45*b94 + 3*b45*b96 + 28*b45*b97 + 2*b45*b98 + 6*b45*b101 + 20*b45*
     b102 + 136*b45*b103 + 42*b45*b104 + 16*b45*b106 + 17*b45*b107 + 4*b45*b110
      + b45*b113 + 48*b45*b114 + 53*b45*b117 + 47*b45*b118 + 5*b45*b119 + 126*
     b45*b121 + 3*b45*b125 + 8*b45*b126 + 27*b45*b129 + 9*b45*b131 + 25*b45*
     b133 + 21*b45*b134 + 3*b45*b135 + 111*b45*b137 + 28*b45*b140 + 74*b45*b141
      + 3*b45*b143 + 20*b45*b144 + 53*b45*b145 + 17*b45*b146 + 26*b45*b147 + 73
     *b45*b149 + 17*b45*b150 + 16*b45*b151 + 2*b45*b152 + 8*b45*b153 + 53*b45*
     b156 + 7*b45*b158 + 30*b45*b163 + 26*b45*b167 + 23*b45*b168 + 53*b45*b170
      + 36*b45*b172 + 15*b45*b173 + 2*b45*b174 + 17*b45*b176 + 4*b45*b177 + 4*
     b45*b178 + 25*b45*b179 + 25*b45*b180 + 23*b45*b182 + 4*b45*b183 + 21*b45*
     b184 + 60*b45*b185 + 13*b45*b186 + 27*b45*b187 + 35*b45*b191 + 13*b45*b192
      + 29*b45*b193 + 27*b45*b196 + 5*b45*b198 + 32*b45*b200 + 46*b45*b201 + 32
     *b45*b202 + 17*b45*b204 + 69*b45*b205 + 9*b45*b211 + 13*b45*b212 + 52*b45*
     b213 + 36*b45*b214 + 62*b45*b216 + 30*b45*b218 + 46*b45*b219 + 49*b45*b220
      + 6*b45*b221 + 21*b45*b222 + 2*b45*b223 + 14*b45*b225 + 29*b45*b227 + 66*
     b45*b228 + 13*b45*b230 + 19*b45*b232 + 32*b45*b234 + 28*b45*b236 + 4*b45*
     b238 + 17*b45*b248 + 5*b45*b251 + 9*b45*b310 + 15*b45*b311 + 2*b45*b313 + 
     11*b45*b316 + 26*b45*b324 + 50*b45*b326 + 75*b45*b328 + 10*b45*b329 + 4*
     b45*b331 + 29*b45*b335 + 18*b45*b339 + 7*b45*b340 + 39*b45*b342 + 14*b45*
     b345 + 42*b45*b348 + 12*b45*b350 + 46*b45*b351 + 10*b45*b352 + 3*b45*b354
      + 45*b45*b355 + 86*b45*b358 + 21*b45*b359 + 86*b45*b360 + 83*b45*b361 + 5
     *b45*b364 + 60*b45*b366 + 78*b45*b369 + 59*b45*b372 + 14*b45*b373 + 11*b45
     *b375 + 25*b45*b377 + 46*b45*b378 + 11*b45*b379 + 35*b45*b388 + 13*b45*
     b391 + 33*b45*b393 + 42*b45*b396 + 21*b45*b398 + 31*b45*b399 + 4*b45*b401
      + 3*b45*b403 + 9*b45*b406 + 4*b45*b408 + 6*b45*b409 + 29*b45*b411 + 12*
     b45*b415 + 42*b45*b416 + 22*b45*b417 + 8*b45*b419 + b45*b420 + 54*b45*b421
      + 77*b45*b422 + 3*b45*b427 + 24*b45*b428 + 32*b45*b436 + 4*b45*b439 + 46*
     b45*b440 + 44*b45*b442 + 64*b45*b445 + 64*b45*b449 + 25*b45*b452 + 21*b45*
     b453 + 81*b45*b455 + 30*b45*b458 + 100*b45*b460 + 49*b45*b466 + 12*b45*
     b467 + 66*b45*b470 + 36*b45*b471 + 23*b45*b472 + 177*b45*b475 + 8*b45*b477
      + 5*b45*b478 + 6*b45*b479 + 7*b45*b481 + 55*b45*b482 + 2*b45*b484 + 22*
     b45*b485 + 17*b45*b491 + 13*b45*b499 + 32*b45*b500 + 38*b45*b502 + 2*b45*
     b510 + 28*b46*b50 + 873*b46 + 47*b46*b51 + 22*b46*b52 + 23*b46*b53 + 79*
     b46*b54 + 12*b46*b55 + 39*b46*b57 + 97*b46*b58 + 18*b46*b60 + 42*b46*b61
      + b46*b62 + 50*b46*b63 + 20*b46*b66 + 20*b46*b69 + 20*b46*b71 + 37*b46*
     b72 + 6*b46*b73 + 36*b46*b74 + 9*b46*b75 + 73*b46*b76 + 44*b46*b77 + 9*b46
     *b79 + 49*b46*b80 + 40*b46*b83 + 22*b46*b84 + 17*b46*b85 + 17*b46*b88 + 
     b46*b90 + 28*b46*b91 + 58*b46*b92 + 59*b46*b93 + 3*b46*b94 + 48*b46*b95 + 
     19*b46*b98 + 26*b46*b99 + 45*b46*b101 + 12*b46*b102 + 43*b46*b105 + 22*b46
     *b106 + 2*b46*b107 + 2*b46*b109 + 59*b46*b111 + 21*b46*b113 + 63*b46*b115
      + 13*b46*b117 + 5*b46*b119 + 4*b46*b122 + 13*b46*b123 + 76*b46*b124 + 25*
     b46*b127 + 59*b46*b128 + 19*b46*b129 + 7*b46*b130 + 21*b46*b131 + 54*b46*
     b132 + 51*b46*b133 + 27*b46*b136 + 58*b46*b137 + 31*b46*b138 + 57*b46*b141
      + 22*b46*b142 + 22*b46*b144 + 38*b46*b145 + 79*b46*b146 + 57*b46*b148 + 
     17*b46*b151 + 3*b46*b152 + 38*b46*b154 + 31*b46*b160 + 23*b46*b161 + 24*
     b46*b164 + 48*b46*b165 + 25*b46*b166 + 4*b46*b167 + 7*b46*b168 + 91*b46*
     b169 + 28*b46*b170 + 17*b46*b171 + 23*b46*b172 + 28*b46*b173 + 6*b46*b174
      + 97*b46*b175 + 49*b46*b176 + 16*b46*b178 + 45*b46*b179 + 21*b46*b180 + 
     26*b46*b181 + 31*b46*b182 + 7*b46*b183 + 10*b46*b184 + 30*b46*b186 + b46*
     b187 + 53*b46*b188 + 91*b46*b189 + 6*b46*b190 + 45*b46*b191 + 24*b46*b192
      + 57*b46*b194 + 20*b46*b196 + 58*b46*b199 + 21*b46*b202 + 63*b46*b204 + 9
     *b46*b205 + 4*b46*b206 + 81*b46*b207 + 3*b46*b209 + 34*b46*b210 + 29*b46*
     b216 + 35*b46*b219 + 12*b46*b221 + 21*b46*b223 + 15*b46*b226 + 52*b46*b227
      + 31*b46*b229 + 23*b46*b233 + 6*b46*b235 + 5*b46*b236 + 2*b46*b238 + 17*
     b46*b243 + 7*b46*b244 + 20*b46*b245 + 5*b46*b258 + 6*b46*b310 + 27*b46*
     b311 + 25*b46*b316 + 32*b46*b319 + 50*b46*b320 + 59*b46*b321 + 18*b46*b323
      + 12*b46*b324 + 71*b46*b326 + 6*b46*b327 + 59*b46*b329 + 91*b46*b333 + 61
     *b46*b336 + 71*b46*b337 + 9*b46*b339 + 29*b46*b344 + 10*b46*b346 + 40*b46*
     b347 + 22*b46*b349 + 10*b46*b350 + 17*b46*b359 + 13*b46*b360 + 63*b46*b366
      + 12*b46*b372 + 7*b46*b373 + 22*b46*b374 + 72*b46*b378 + 18*b46*b380 + 64
     *b46*b381 + 6*b46*b383 + 37*b46*b384 + 11*b46*b390 + 6*b46*b392 + 70*b46*
     b394 + 4*b46*b395 + 6*b46*b396 + 49*b46*b397 + 22*b46*b398 + 13*b46*b399
      + 23*b46*b400 + 21*b46*b401 + 21*b46*b403 + 9*b46*b406 + b46*b410 + 27*
     b46*b414 + 26*b46*b415 + 9*b46*b419 + 71*b46*b421 + 59*b46*b425 + 4*b46*
     b428 + b46*b439 + 38*b46*b440 + 174*b46*b441 + 2*b46*b446 + 20*b46*b454 + 
     8*b46*b456 + 123*b46*b457 + 8*b46*b458 + 4*b46*b462 + 10*b46*b463 + 108*
     b46*b464 + 72*b46*b465 + 63*b46*b468 + 5*b46*b469 + 9*b46*b476 + 4*b46*
     b477 + 5*b46*b479 + 16*b46*b480 + b46*b485 + 36*b46*b488 + 12*b46*b494 + 
     15*b46*b495 + 50*b46*b497 + 8*b46*b501 + 67*b46*b502 + 24*b46*b506 + 30*
     b46*b507 + 15*b47*b50 + 1853*b47 + 2*b47*b52 + 66*b47*b54 + 10*b47*b56 + 7
     *b47*b61 + 32*b47*b62 + 9*b47*b63 + 2*b47*b66 + 17*b47*b70 + 8*b47*b73 + 3
     *b47*b74 + b47*b75 + 144*b47*b76 + 6*b47*b79 + 36*b47*b80 + 10*b47*b84 + 
     19*b47*b85 + 27*b47*b89 + 12*b47*b90 + 35*b47*b92 + 53*b47*b94 + 20*b47*
     b96 + 74*b47*b97 + 35*b47*b100 + 5*b47*b101 + 16*b47*b102 + 3*b47*b105 + 
     12*b47*b106 + b47*b107 + 14*b47*b108 + 13*b47*b111 + 44*b47*b112 + 31*b47*
     b114 + 38*b47*b115 + 41*b47*b116 + 9*b47*b119 + 22*b47*b120 + 6*b47*b123
      + 27*b47*b124 + 46*b47*b126 + b47*b128 + 15*b47*b129 + 13*b47*b131 + 31*
     b47*b132 + 17*b47*b133 + 28*b47*b136 + 108*b47*b137 + 4*b47*b138 + 39*b47*
     b140 + 71*b47*b143 + 12*b47*b144 + 7*b47*b147 + 6*b47*b149 + 19*b47*b153
      + 26*b47*b155 + 24*b47*b158 + 87*b47*b159 + 62*b47*b163 + 55*b47*b164 + 
     20*b47*b165 + 25*b47*b167 + 16*b47*b171 + 49*b47*b173 + 73*b47*b175 + 22*
     b47*b177 + 3*b47*b182 + 12*b47*b183 + 37*b47*b184 + 109*b47*b185 + 2*b47*
     b187 + 71*b47*b188 + 79*b47*b190 + 21*b47*b192 + 25*b47*b193 + 51*b47*b194
      + 38*b47*b195 + 19*b47*b196 + 2*b47*b197 + 37*b47*b199 + 11*b47*b201 + 35
     *b47*b202 + 57*b47*b205 + 12*b47*b206 + 29*b47*b210 + 8*b47*b211 + 42*b47*
     b212 + 54*b47*b213 + 25*b47*b214 + 3*b47*b215 + 52*b47*b217 + 14*b47*b219
      + 4*b47*b223 + 18*b47*b226 + 17*b47*b228 + 81*b47*b234 + 19*b47*b235 + 52
     *b47*b236 + 8*b47*b239 + 25*b47*b243 + 16*b47*b248 + 43*b47*b251 + 4*b47*
     b310 + 116*b47*b311 + 27*b47*b313 + 34*b47*b315 + 50*b47*b316 + 36*b47*
     b319 + 24*b47*b320 + 82*b47*b321 + 16*b47*b322 + 37*b47*b326 + 39*b47*b331
      + 4*b47*b334 + 9*b47*b335 + 72*b47*b336 + 23*b47*b337 + 23*b47*b340 + 19*
     b47*b341 + 39*b47*b344 + 112*b47*b345 + 12*b47*b346 + 24*b47*b347 + 52*b47
     *b349 + 13*b47*b350 + 11*b47*b351 + 83*b47*b352 + 12*b47*b355 + 27*b47*
     b356 + 66*b47*b357 + 97*b47*b358 + 45*b47*b360 + 48*b47*b361 + 25*b47*b362
      + 28*b47*b363 + 29*b47*b365 + 86*b47*b366 + 18*b47*b367 + 52*b47*b368 + 
     11*b47*b369 + 69*b47*b370 + 61*b47*b372 + 8*b47*b373 + 52*b47*b377 + 84*
     b47*b378 + 29*b47*b379 + 74*b47*b382 + 4*b47*b383 + 72*b47*b384 + b47*b385
      + 19*b47*b391 + 8*b47*b392 + 2*b47*b393 + 8*b47*b396 + 13*b47*b403 + 6*
     b47*b404 + 2*b47*b406 + 19*b47*b408 + 31*b47*b414 + 15*b47*b418 + 18*b47*
     b419 + 27*b47*b422 + 2*b47*b423 + 25*b47*b424 + 43*b47*b425 + 26*b47*b426
      + 3*b47*b428 + 5*b47*b429 + 60*b47*b430 + 4*b47*b432 + 3*b47*b434 + 10*
     b47*b435 + 17*b47*b436 + 28*b47*b442 + 153*b47*b445 + 14*b47*b448 + 16*b47
     *b453 + 12*b47*b454 + 9*b47*b455 + 4*b47*b456 + 26*b47*b457 + 4*b47*b458
      + 125*b47*b460 + 40*b47*b467 + 4*b47*b470 + b47*b471 + 3*b47*b472 + 25*
     b47*b473 + 17*b47*b480 + 6*b47*b486 + 14*b47*b487 + 5*b47*b488 + 28*b47*
     b493 + 9*b47*b494 + 27*b47*b495 + 33*b47*b497 + 18*b47*b498 + b47*b499 + 2
     *b47*b504 + 3*b47*b508 + 23*b48*b49 + 1194*b48 + 30*b48*b50 + 98*b48*b54
      + 49*b48*b57 + 19*b48*b58 + 20*b48*b64 + 50*b48*b65 + 5*b48*b68 + 21*b48*
     b70 + 29*b48*b71 + 41*b48*b74 + 138*b48*b76 + 15*b48*b77 + 34*b48*b79 + 30
     *b48*b80 + 3*b48*b82 + 14*b48*b86 + 22*b48*b87 + 18*b48*b90 + 14*b48*b92
      + 127*b48*b97 + 30*b48*b98 + 27*b48*b100 + 104*b48*b103 + 38*b48*b104 + 
     41*b48*b108 + 5*b48*b110 + 8*b48*b111 + 7*b48*b113 + 26*b48*b117 + 75*b48*
     b118 + 15*b48*b119 + 25*b48*b120 + 164*b48*b121 + 32*b48*b123 + 19*b48*
     b125 + 25*b48*b129 + 25*b48*b131 + 31*b48*b133 + 18*b48*b135 + 125*b48*
     b137 + 9*b48*b140 + 138*b48*b141 + 44*b48*b142 + 49*b48*b143 + 12*b48*b144
      + 41*b48*b145 + 6*b48*b147 + 64*b48*b148 + 111*b48*b149 + 8*b48*b151 + 12
     *b48*b152 + 24*b48*b153 + 13*b48*b155 + 34*b48*b156 + 6*b48*b158 + 45*b48*
     b159 + 65*b48*b160 + 4*b48*b161 + 13*b48*b163 + 150*b48*b164 + 19*b48*b165
      + 4*b48*b167 + 3*b48*b168 + 27*b48*b170 + 5*b48*b173 + 68*b48*b175 + 19*
     b48*b177 + 16*b48*b179 + 16*b48*b180 + 23*b48*b182 + 18*b48*b183 + 52*b48*
     b184 + 117*b48*b185 + 15*b48*b187 + 56*b48*b188 + 29*b48*b190 + 7*b48*b192
      + 25*b48*b193 + 14*b48*b195 + 16*b48*b197 + 16*b48*b198 + 60*b48*b200 + 
     28*b48*b201 + 17*b48*b202 + 21*b48*b206 + 9*b48*b207 + 7*b48*b210 + 11*b48
     *b212 + 12*b48*b213 + 25*b48*b214 + 7*b48*b215 + 59*b48*b216 + 27*b48*b218
      + 24*b48*b219 + 13*b48*b222 + 16*b48*b223 + 40*b48*b226 + 27*b48*b227 + 
     78*b48*b228 + 51*b48*b229 + 18*b48*b232 + 9*b48*b235 + 35*b48*b236 + b48*
     b238 + 22*b48*b242 + 39*b48*b244 + 6*b48*b248 + 16*b48*b251 + 6*b48*b258
      + 3*b48*b310 + 13*b48*b312 + 9*b48*b313 + 91*b48*b316 + 10*b48*b317 + 8*
     b48*b318 + 26*b48*b320 + 43*b48*b321 + 35*b48*b325 + 94*b48*b326 + 30*b48*
     b328 + 32*b48*b329 + 15*b48*b331 + 22*b48*b332 + 89*b48*b335 + 6*b48*b338
      + 19*b48*b339 + 20*b48*b342 + 59*b48*b345 + 12*b48*b346 + 22*b48*b348 + 6
     *b48*b350 + 33*b48*b352 + 14*b48*b354 + 34*b48*b357 + 21*b48*b359 + 11*b48
     *b360 + 106*b48*b361 + 12*b48*b364 + 12*b48*b365 + 21*b48*b366 + 11*b48*
     b368 + 15*b48*b369 + 55*b48*b370 + 4*b48*b372 + 32*b48*b375 + 23*b48*b376
      + 149*b48*b378 + 19*b48*b379 + 22*b48*b380 + 48*b48*b381 + 19*b48*b384 + 
     12*b48*b385 + 8*b48*b388 + 5*b48*b390 + 28*b48*b391 + 11*b48*b393 + 12*b48
     *b396 + 44*b48*b401 + 63*b48*b402 + 10*b48*b406 + 57*b48*b408 + 20*b48*
     b411 + 24*b48*b414 + 46*b48*b417 + 26*b48*b418 + 23*b48*b419 + 112*b48*
     b421 + 53*b48*b422 + 2*b48*b424 + 58*b48*b425 + 58*b48*b427 + 31*b48*b428
      + 17*b48*b429 + 16*b48*b434 + 17*b48*b436 + 51*b48*b437 + 6*b48*b438 + 40
     *b48*b440 + 103*b48*b441 + 29*b48*b442 + 187*b48*b445 + 38*b48*b448 + 17*
     b48*b450 + 37*b48*b453 + 12*b48*b458 + 86*b48*b467 + 4*b48*b470 + 24*b48*
     b472 + 44*b48*b482 + 31*b48*b484 + 2*b48*b490 + 4*b48*b498 + 6*b48*b503 + 
     8*b48*b504 + 20*b48*b508 + b48*b509 + 61*b48*b510 + 25*b49*b224 + 765*b224
      + b49*b246 + 176*b246 + 13*b49*b249 + 26*b249 + 4*b49*b252 + 548*b252 + 
     70*b49*b255 + 1599*b255 + 4*b49*b259 + 397*b259 + 150*b49*b260 + 1492*b260
      + 10*b49*b262 + 440*b262 + b49*b265 + 1636*b265 + 51*b49*b266 + 2062*b266
      + 11*b49*b268 + 1836*b268 + 30*b49*b269 + 801*b269 + 9*b49*b271 + 1651*
     b271 + 12*b49*b279 + 2640*b279 + 8*b49*b280 + 105*b280 + 26*b49*b289 + 935
     *b289 + 17*b49*b290 + 470*b290 + 17*b49*b291 + 830*b291 + 140*b49*b292 + 
     2297*b292 + 2*b49*b294 + 1089*b294 + 15*b49*b298 + 889*b298 + 272*b49*b301
      + 42*b301 + 43*b49*b303 + 37*b303 + 104*b49*b305 + 45*b305 + 160*b49*b306
      + 27*b306 + 16*b49*b511 + 16*b49*b512 + 34*b49*b513 + 11*b49*b514 + 19*
     b49*b515 + 73*b49*b516 + 28*b49*b517 + 35*b49*b518 + 36*b49*b519 + 8*b49*
     b520 + 14*b49*b521 + 16*b49*b522 + 6*b49*b523 + 36*b49*b524 + 45*b49*b525
      + 124*b49*b526 + 41*b49*b527 + 41*b49*b528 + 16*b49*b529 + 41*b49*b530 + 
     39*b49*b531 + 3*b49*b532 + 93*b49*b533 + 12*b49*b534 + 13*b49*b535 + 28*
     b49*b536 + 8*b49*b537 + 38*b49*b538 + 31*b49*b539 + 3*b49*b540 + b49*b541
      + 41*b49*b542 + 59*b49*b543 + 49*b49*b544 + 7*b49*b545 + 9*b49*b546 + 127
     *b49*b547 + 51*b49*b548 + 5*b49*b549 + 36*b49*b550 + 49*b49*b551 + 29*b49*
     b552 + 26*b49*b553 + 11*b49*b554 + 15*b49*b555 + 36*b49*b556 + 12*b49*b557
      + 3*b49*b558 + 24*b49*b559 + 79*b49*b560 + 11*b49*b561 + 15*b49*b562 + 27
     *b49*b563 + 116*b49*b564 + 76*b49*b565 + 238*b49*b566 + 29*b49*b567 + 52*
     b49*b568 + 150*b49*b569 + 300*b49*b570 + 65*b50*b252 + 15*b50*b255 + 84*
     b50*b260 + 41*b50*b262 + 25*b50*b264 + 323*b264 + 21*b50*b265 + 46*b50*
     b267 + 146*b267 + 29*b50*b268 + 6*b50*b271 + 20*b50*b272 + 137*b272 + 87*
     b50*b274 + 756*b274 + 12*b50*b277 + 33*b277 + 62*b50*b280 + 40*b50*b281 + 
     119*b281 + 57*b50*b284 + 347*b284 + 52*b50*b285 + 442*b285 + 26*b50*b286
      + 354*b286 + 14*b50*b287 + 1299*b287 + 39*b50*b289 + 4*b50*b290 + 12*b50*
     b293 + 1580*b293 + 71*b50*b300 + 23*b300 + 83*b50*b302 + 4*b302 + 111*b50*
     b303 + 102*b50*b306 + 65*b50*b307 + 6*b307 + 82*b50*b308 + 15*b308 + 13*
     b50*b511 + 37*b50*b512 + 15*b50*b513 + 8*b50*b514 + 9*b50*b515 + 29*b50*
     b516 + 29*b50*b518 + 6*b50*b520 + 23*b50*b522 + 56*b50*b524 + 10*b50*b526
      + 2*b50*b527 + 46*b50*b532 + 48*b50*b534 + 9*b50*b535 + 25*b50*b536 + 50*
     b50*b537 + 17*b50*b539 + 17*b50*b541 + 54*b50*b544 + 20*b50*b545 + 51*b50*
     b547 + 8*b50*b548 + 23*b50*b554 + 91*b50*b557 + 10*b50*b558 + 3*b50*b559
      + 23*b50*b560 + 42*b50*b561 + 313*b50*b567 + 3*b50*b570 + 27*b50*b571 + 
     81*b50*b572 + 14*b50*b573 + 11*b50*b574 + 26*b50*b575 + 24*b50*b576 + 63*
     b50*b577 + 21*b50*b578 + 31*b50*b579 + 28*b50*b580 + 20*b50*b581 + 13*b50*
     b582 + 6*b50*b583 + 28*b50*b584 + 13*b50*b585 + 8*b50*b586 + 113*b50*b587
      + 36*b50*b588 + 19*b50*b589 + 20*b50*b590 + 39*b50*b591 + 49*b50*b592 + 
     31*b50*b593 + 27*b50*b594 + 2*b50*b595 + 115*b50*b596 + 21*b50*b597 + 50*
     b50*b598 + 3*b51*b224 + 21*b51*b246 + 41*b51*b252 + 9*b51*b253 + 1683*b253
      + 40*b51*b255 + 7*b51*b257 + 753*b257 + 10*b51*b260 + 3*b51*b261 + 862*
     b261 + 20*b51*b262 + 25*b51*b264 + 2*b51*b267 + 21*b51*b270 + 573*b270 + 9
     *b51*b271 + b51*b272 + 41*b51*b273 + 816*b273 + 71*b51*b275 + 68*b275 + 14
     *b51*b278 + 2242*b278 + 21*b51*b281 + 13*b51*b283 + 593*b283 + 58*b51*b286
      + 2*b51*b287 + 30*b51*b288 + 1131*b288 + 32*b51*b289 + 24*b51*b292 + 13*
     b51*b294 + 17*b51*b295 + 963*b295 + 19*b51*b296 + 619*b296 + 27*b51*b299
      + 119*b299 + 92*b51*b302 + 198*b51*b304 + 21*b304 + 107*b51*b307 + 7*b51*
     b308 + 76*b51*b309 + 12*b309 + 59*b51*b511 + b51*b513 + 15*b51*b514 + 6*
     b51*b516 + 62*b51*b521 + 25*b51*b522 + 68*b51*b523 + 16*b51*b526 + 65*b51*
     b528 + 21*b51*b529 + 35*b51*b533 + 77*b51*b536 + 5*b51*b540 + 78*b51*b542
      + 23*b51*b543 + 4*b51*b545 + 31*b51*b549 + 23*b51*b551 + 17*b51*b552 + 22
     *b51*b553 + 9*b51*b554 + 50*b51*b555 + 37*b51*b556 + 11*b51*b558 + 17*b51*
     b559 + 62*b51*b560 + 21*b51*b562 + 16*b51*b564 + 11*b51*b565 + 52*b51*b573
      + 8*b51*b575 + 50*b51*b576 + 45*b51*b577 + 11*b51*b579 + b51*b580 + 6*b51
     *b583 + 132*b51*b584 + 11*b51*b585 + 2*b51*b588 + 31*b51*b592 + 9*b51*b597
      + 20*b51*b599 + 28*b51*b600 + 22*b51*b601 + 15*b51*b602 + 40*b51*b603 + 
     28*b51*b604 + 264*b51*b605 + 104*b51*b606 + 40*b51*b607 + 37*b51*b608 + 14
     *b51*b609 + 224*b51*b610 + 69*b52*b246 + 33*b52*b249 + 77*b52*b252 + 30*
     b52*b255 + 24*b52*b257 + 28*b52*b264 + 10*b52*b265 + 28*b52*b268 + 5*b52*
     b269 + 14*b52*b271 + 31*b52*b272 + 15*b52*b273 + 29*b52*b275 + 5*b52*b276
      + 629*b276 + 9*b52*b277 + 11*b52*b279 + 24*b52*b281 + 24*b52*b283 + 37*
     b52*b284 + 10*b52*b287 + 2*b52*b288 + 25*b52*b290 + b52*b291 + 30*b52*b292
      + 82*b52*b293 + 14*b52*b296 + 26*b52*b301 + 119*b52*b302 + 48*b52*b303 + 
     126*b52*b304 + 49*b52*b305 + 12*b52*b511 + 18*b52*b512 + 40*b52*b513 + 20*
     b52*b514 + 21*b52*b515 + 9*b52*b516 + 2*b52*b518 + 3*b52*b521 + 27*b52*
     b524 + 20*b52*b526 + 3*b52*b529 + 56*b52*b530 + 11*b52*b534 + 7*b52*b536
      + 42*b52*b537 + 12*b52*b538 + 23*b52*b539 + 60*b52*b543 + 57*b52*b547 + 
     44*b52*b548 + 42*b52*b549 + 4*b52*b553 + 16*b52*b561 + 41*b52*b565 + 30*
     b52*b568 + 38*b52*b569 + 90*b52*b570 + 37*b52*b571 + 51*b52*b575 + 10*b52*
     b576 + 9*b52*b582 + 43*b52*b583 + 13*b52*b586 + 28*b52*b588 + 24*b52*b589
      + 23*b52*b591 + 27*b52*b592 + 8*b52*b594 + 83*b52*b596 + 53*b52*b601 + 4*
     b52*b604 + 24*b52*b605 + 13*b52*b608 + 333*b52*b610 + 37*b52*b611 + 7*b52*
     b612 + 57*b52*b613 + 8*b52*b614 + 128*b52*b615 + 37*b53*b237 + 1050*b237
      + 6*b53*b253 + 2*b53*b254 + 3397*b254 + 15*b53*b256 + 597*b256 + b53*b257
      + 16*b53*b259 + 53*b53*b261 + 34*b53*b262 + 18*b53*b264 + 39*b53*b265 + 
     20*b53*b268 + 79*b53*b270 + 10*b53*b272 + 10*b53*b273 + 80*b53*b274 + 39*
     b53*b275 + 54*b53*b277 + 88*b53*b280 + 42*b53*b283 + 26*b53*b288 + 2*b53*
     b289 + 30*b53*b290 + 45*b53*b291 + 20*b53*b292 + 22*b53*b296 + 55*b53*b298
      + 204*b53*b301 + 260*b53*b302 + 178*b53*b303 + 89*b53*b306 + 202*b53*b308
      + 25*b53*b309 + 43*b53*b516 + 21*b53*b522 + 133*b53*b524 + 6*b53*b525 + 
     14*b53*b526 + 70*b53*b528 + 10*b53*b529 + 26*b53*b530 + 61*b53*b531 + 12*
     b53*b533 + 8*b53*b536 + 8*b53*b537 + 19*b53*b538 + 20*b53*b540 + 36*b53*
     b541 + 44*b53*b544 + 36*b53*b545 + 6*b53*b546 + 48*b53*b547 + 6*b53*b550
      + 5*b53*b551 + 3*b53*b554 + 18*b53*b556 + 164*b53*b557 + 23*b53*b558 + 6*
     b53*b559 + 20*b53*b561 + 2*b53*b562 + 27*b53*b564 + 122*b53*b565 + 35*b53*
     b567 + 116*b53*b568 + 12*b53*b571 + 14*b53*b572 + 28*b53*b573 + 5*b53*b576
      + 45*b53*b577 + 32*b53*b579 + 55*b53*b582 + 2*b53*b585 + 19*b53*b586 + 28
     *b53*b587 + 41*b53*b588 + 16*b53*b589 + 14*b53*b591 + 141*b53*b592 + 141*
     b53*b596 + 35*b53*b603 + 22*b53*b605 + 40*b53*b606 + 61*b53*b607 + 9*b53*
     b608 + 3*b53*b611 + 50*b53*b613 + 18*b53*b616 + 39*b53*b617 + 34*b53*b618
      + 75*b54*b224 + 32*b54*b237 + 15*b54*b246 + 62*b54*b253 + 63*b54*b254 + 
     10*b54*b260 + 10*b54*b261 + 65*b54*b262 + 53*b54*b263 + 2200*b263 + 28*b54
     *b266 + 10*b54*b267 + 9*b54*b268 + 17*b54*b274 + 17*b54*b275 + 26*b54*b276
      + 11*b54*b278 + 18*b54*b280 + 15*b54*b282 + 1489*b282 + 82*b54*b283 + 2*
     b54*b285 + 19*b54*b286 + 28*b54*b287 + 83*b54*b288 + 2*b54*b290 + 16*b54*
     b291 + 2*b54*b293 + 73*b54*b295 + 10*b54*b298 + 20*b54*b300 + 82*b54*b303
      + 63*b54*b306 + 160*b54*b308 + 13*b54*b514 + 6*b54*b517 + 20*b54*b518 + 
     37*b54*b519 + 31*b54*b520 + b54*b523 + 51*b54*b525 + 8*b54*b528 + 32*b54*
     b535 + 49*b54*b537 + 3*b54*b538 + 35*b54*b540 + 39*b54*b545 + 35*b54*b546
      + 17*b54*b547 + 2*b54*b550 + b54*b553 + 24*b54*b554 + 11*b54*b555 + 13*
     b54*b560 + 111*b54*b566 + 133*b54*b567 + 4*b54*b568 + 104*b54*b570 + 61*
     b54*b573 + 10*b54*b574 + 25*b54*b575 + 22*b54*b577 + 5*b54*b579 + 23*b54*
     b581 + 36*b54*b582 + 92*b54*b584 + 20*b54*b585 + 2*b54*b587 + 86*b54*b588
      + 11*b54*b589 + 6*b54*b591 + 23*b54*b592 + 18*b54*b593 + 31*b54*b594 + 3*
     b54*b596 + 33*b54*b599 + 50*b54*b603 + 70*b54*b604 + 11*b54*b606 + 33*b54*
     b616 + 9*b54*b617 + 12*b54*b618 + 4*b55*b249 + b55*b253 + 19*b55*b257 + 11
     *b55*b259 + 32*b55*b262 + 35*b55*b264 + 52*b55*b265 + 21*b55*b269 + 33*b55
     *b270 + 49*b55*b272 + 59*b55*b273 + 9*b55*b274 + 35*b55*b275 + 31*b55*b277
      + 18*b55*b280 + 26*b55*b282 + 13*b55*b283 + 3*b55*b284 + 11*b55*b286 + 8*
     b55*b287 + 4*b55*b288 + 15*b55*b302 + 114*b55*b304 + 66*b55*b306 + 222*b55
     *b308 + 35*b55*b511 + 28*b55*b513 + 9*b55*b514 + 37*b55*b515 + 32*b55*b516
      + 6*b55*b522 + 11*b55*b524 + 99*b55*b525 + 5*b55*b529 + 42*b55*b533 + 17*
     b55*b534 + 4*b55*b535 + 14*b55*b536 + 26*b55*b537 + 22*b55*b539 + 69*b55*
     b540 + 24*b55*b543 + 8*b55*b544 + 39*b55*b546 + 35*b55*b547 + 74*b55*b548
      + 25*b55*b549 + 20*b55*b551 + 5*b55*b552 + 10*b55*b555 + 30*b55*b556 + 7*
     b55*b557 + 58*b55*b559 + 4*b55*b560 + 10*b55*b561 + 23*b55*b562 + 3*b55*
     b564 + 60*b55*b565 + 74*b55*b568 + 19*b55*b570 + 10*b55*b571 + 22*b55*b572
      + 29*b55*b576 + 36*b55*b579 + 49*b55*b580 + 10*b55*b581 + 4*b55*b582 + 13
     *b55*b583 + 82*b55*b584 + 83*b55*b585 + 10*b55*b588 + 36*b55*b590 + 36*b55
     *b591 + 14*b55*b592 + 30*b55*b593 + 34*b55*b594 + 3*b55*b596 + 63*b55*b600
      + 85*b55*b602 + 90*b55*b603 + 125*b55*b604 + 8*b55*b605 + 24*b55*b608 + 
     158*b55*b609 + 61*b55*b611 + 61*b55*b613 + 6*b55*b614 + 4*b55*b615 + 30*
     b55*b616 + 56*b55*b617 + 36*b55*b618 + 7*b56*b224 + 12*b56*b246 + 14*b56*
     b249 + 85*b56*b253 + 5*b56*b257 + b56*b262 + 16*b56*b266 + 37*b56*b269 + 3
     *b56*b273 + 45*b56*b274 + 2*b56*b275 + 4*b56*b277 + 45*b56*b281 + 35*b56*
     b282 + 14*b56*b283 + b56*b284 + b56*b288 + 12*b56*b289 + 8*b56*b290 + 13*
     b56*b291 + 45*b56*b294 + 16*b56*b295 + 28*b56*b299 + 12*b56*b302 + 156*b56
     *b304 + 192*b56*b308 + 17*b56*b309 + 63*b56*b511 + 78*b56*b513 + 26*b56*
     b514 + 6*b56*b515 + 57*b56*b516 + 10*b56*b517 + 15*b56*b518 + 13*b56*b522
      + 38*b56*b524 + 27*b56*b529 + 13*b56*b530 + 51*b56*b533 + 3*b56*b535 + 15
     *b56*b536 + 93*b56*b541 + 68*b56*b543 + 56*b56*b547 + 80*b56*b549 + 2*b56*
     b551 + 38*b56*b552 + 17*b56*b554 + 20*b56*b555 + 2*b56*b556 + 19*b56*b557
      + 15*b56*b560 + 13*b56*b561 + 4*b56*b562 + 21*b56*b563 + 63*b56*b565 + 
     154*b56*b568 + 34*b56*b575 + 29*b56*b579 + 52*b56*b581 + 92*b56*b583 + 94*
     b56*b584 + 88*b56*b585 + 11*b56*b586 + 20*b56*b588 + 5*b56*b589 + 7*b56*
     b590 + 69*b56*b591 + 28*b56*b592 + 39*b56*b593 + 42*b56*b595 + 11*b56*b597
      + 20*b56*b598 + 40*b56*b599 + 30*b56*b600 + 28*b56*b603 + 52*b56*b604 + 
     90*b56*b605 + 7*b56*b606 + 44*b56*b608 + 275*b56*b609 + 19*b56*b610 + 53*
     b56*b611 + 162*b56*b613 + 10*b56*b615 + 26*b56*b616 + 20*b56*b617 + 6*b56*
     b618 + 37*b57*b224 + 16*b57*b246 + 2*b57*b249 + 14*b57*b253 + 15*b57*b254
      + b57*b255 + 12*b57*b256 + 9*b57*b259 + 8*b57*b260 + 60*b57*b262 + 17*b57
     *b263 + 85*b57*b264 + 60*b57*b265 + 34*b57*b266 + 52*b57*b268 + 33*b57*
     b269 + 13*b57*b273 + 48*b57*b274 + 8*b57*b279 + 79*b57*b281 + 16*b57*b282
      + 60*b57*b285 + 111*b57*b287 + 53*b57*b289 + 95*b57*b290 + 15*b57*b293 + 
     34*b57*b295 + 7*b57*b296 + 40*b57*b303 + 23*b57*b511 + 2*b57*b515 + 12*b57
     *b518 + 37*b57*b519 + 41*b57*b522 + 66*b57*b523 + 14*b57*b524 + 23*b57*
     b527 + 28*b57*b528 + 24*b57*b530 + 12*b57*b532 + 73*b57*b536 + 32*b57*b537
      + 30*b57*b538 + 30*b57*b545 + 23*b57*b546 + 6*b57*b547 + 10*b57*b549 + 54
     *b57*b550 + 24*b57*b551 + 54*b57*b554 + 14*b57*b557 + 9*b57*b560 + 34*b57*
     b564 + 31*b57*b565 + 183*b57*b566 + 209*b57*b567 + 50*b57*b568 + 198*b57*
     b569 + 28*b57*b570 + 88*b57*b574 + 9*b57*b578 + 24*b57*b580 + 37*b57*b581
      + 23*b57*b582 + 10*b57*b583 + 173*b57*b584 + 124*b57*b585 + 82*b57*b586
      + 16*b57*b589 + 26*b57*b591 + 51*b57*b592 + 51*b57*b596 + 23*b57*b601 + 
     47*b57*b604 + 161*b57*b610 + 8*b57*b613 + 13*b57*b615 + 30*b57*b616 + 61*
     b57*b618 + b58*b224 + 21*b58*b249 + 8*b58*b252 + 14*b58*b253 + 6*b58*b260
      + 152*b58*b262 + 3*b58*b263 + 49*b58*b264 + 13*b58*b269 + 78*b58*b271 + 
     13*b58*b272 + 24*b58*b274 + 3*b58*b277 + 20*b58*b280 + 4*b58*b281 + 4*b58*
     b282 + 82*b58*b283 + 34*b58*b287 + 120*b58*b289 + 3*b58*b293 + 37*b58*b294
      + 37*b58*b297 + 841*b297 + 27*b58*b298 + 10*b58*b303 + 123*b58*b306 + 291
     *b58*b308 + 47*b58*b511 + 3*b58*b513 + 95*b58*b514 + 14*b58*b515 + 151*b58
     *b518 + 11*b58*b520 + 26*b58*b522 + 2*b58*b524 + b58*b528 + 6*b58*b529 + 
     b58*b530 + 39*b58*b532 + 106*b58*b534 + 131*b58*b535 + 20*b58*b537 + 18*
     b58*b539 + 12*b58*b540 + 32*b58*b546 + 5*b58*b548 + 48*b58*b549 + 37*b58*
     b552 + 12*b58*b554 + 30*b58*b557 + 25*b58*b560 + 51*b58*b561 + 28*b58*b564
      + 37*b58*b565 + 27*b58*b566 + 149*b58*b567 + 12*b58*b568 + 43*b58*b570 + 
     32*b58*b572 + 70*b58*b574 + 45*b58*b575 + 38*b58*b576 + 13*b58*b578 + 16*
     b58*b579 + 26*b58*b580 + 5*b58*b581 + 186*b58*b584 + 155*b58*b585 + 30*b58
     *b588 + 18*b58*b590 + 31*b58*b591 + 66*b58*b593 + 21*b58*b594 + 68*b58*
     b595 + 15*b58*b598 + 21*b58*b599 + 23*b58*b600 + 32*b58*b602 + 10*b58*b613
      + 16*b58*b617 + 20*b59*b224 + 15*b59*b237 + 8*b59*b249 + 105*b59*b252 + 
     110*b59*b255 + 18*b59*b261 + 39*b59*b263 + 5*b59*b265 + 58*b59*b269 + 14*
     b59*b271 + 9*b59*b272 + 10*b59*b273 + 27*b59*b274 + 21*b59*b275 + 9*b59*
     b276 + 24*b59*b277 + 23*b59*b279 + 29*b59*b281 + 12*b59*b283 + 4*b59*b284
      + 22*b59*b285 + 40*b59*b291 + 12*b59*b293 + 30*b59*b295 + 4*b59*b297 + 3*
     b59*b298 + 34*b59*b301 + 93*b59*b303 + 78*b59*b306 + 52*b59*b307 + 32*b59*
     b308 + 5*b59*b512 + 102*b59*b513 + 33*b59*b514 + 6*b59*b517 + b59*b518 + 
     18*b59*b524 + 16*b59*b526 + 71*b59*b530 + 39*b59*b531 + 16*b59*b532 + 5*
     b59*b535 + 27*b59*b537 + 104*b59*b538 + b59*b539 + 7*b59*b540 + 26*b59*
     b541 + 50*b59*b542 + 22*b59*b546 + 21*b59*b548 + 18*b59*b550 + 8*b59*b551
      + 43*b59*b552 + 15*b59*b553 + b59*b554 + 39*b59*b557 + 11*b59*b562 + 25*
     b59*b563 + 50*b59*b564 + 142*b59*b565 + 162*b59*b566 + 8*b59*b567 + 211*
     b59*b570 + 14*b59*b572 + 19*b59*b574 + 17*b59*b575 + 22*b59*b576 + 133*b59
     *b581 + 7*b59*b582 + 75*b59*b585 + 21*b59*b591 + 21*b59*b592 + 36*b59*b596
      + 130*b59*b598 + 70*b59*b600 + 61*b59*b601 + 17*b59*b602 + 48*b59*b603 + 
     72*b59*b605 + 60*b59*b606 + 73*b59*b607 + 91*b59*b608 + 20*b59*b611 + 41*
     b59*b612 + 14*b59*b613 + 40*b59*b614 + 91*b59*b615 + 2*b60*b246 + 3*b60*
     b252 + 4*b60*b253 + 30*b60*b261 + 37*b60*b264 + 21*b60*b266 + 5*b60*b267
      + 41*b60*b270 + 60*b60*b271 + 12*b60*b272 + 2*b60*b274 + 16*b60*b276 + 63
     *b60*b277 + b60*b283 + 128*b60*b287 + 32*b60*b288 + 11*b60*b289 + 11*b60*
     b290 + 2*b60*b291 + 18*b60*b292 + 29*b60*b294 + 4*b60*b297 + 32*b60*b301
      + 49*b60*b302 + 93*b60*b303 + 68*b60*b304 + 24*b60*b306 + 13*b60*b307 + 
     46*b60*b308 + 82*b60*b309 + 15*b60*b511 + 33*b60*b514 + 44*b60*b516 + 48*
     b60*b520 + 13*b60*b524 + 121*b60*b525 + 10*b60*b526 + 3*b60*b528 + 93*b60*
     b529 + 19*b60*b530 + 13*b60*b533 + 40*b60*b534 + 3*b60*b537 + 36*b60*b539
      + 11*b60*b544 + 13*b60*b546 + 17*b60*b547 + 11*b60*b549 + 69*b60*b550 + 
     25*b60*b552 + 40*b60*b556 + 13*b60*b558 + 12*b60*b560 + 66*b60*b562 + 4*
     b60*b564 + 62*b60*b565 + 27*b60*b571 + 17*b60*b573 + 78*b60*b574 + 75*b60*
     b575 + 36*b60*b577 + 28*b60*b578 + 51*b60*b579 + 4*b60*b583 + 27*b60*b585
      + 29*b60*b588 + 40*b60*b593 + 26*b60*b595 + 107*b60*b599 + 55*b60*b600 + 
     16*b60*b601 + 45*b60*b603 + 85*b60*b604 + 6*b60*b605 + 30*b60*b607 + 4*b60
     *b608 + b60*b611 + 49*b60*b612 + 11*b60*b617 + 31*b61*b224 + 42*b61*b237
      + 73*b61*b246 + 66*b61*b249 + 29*b61*b253 + 48*b61*b256 + 7*b61*b257 + 7*
     b61*b265 + 20*b61*b269 + 32*b61*b271 + 27*b61*b273 + 13*b61*b276 + 29*b61*
     b277 + 59*b61*b282 + b61*b284 + 34*b61*b285 + 83*b61*b288 + 43*b61*b289 + 
     9*b61*b290 + 41*b61*b291 + 58*b61*b293 + 5*b61*b295 + 13*b61*b296 + 12*b61
     *b297 + 11*b61*b298 + 90*b61*b301 + 41*b61*b304 + 199*b61*b306 + 77*b61*
     b513 + 6*b61*b515 + 12*b61*b516 + 33*b61*b517 + 19*b61*b518 + 59*b61*b519
      + 34*b61*b521 + 26*b61*b525 + 36*b61*b527 + 29*b61*b530 + 6*b61*b531 + 64
     *b61*b537 + 91*b61*b542 + 24*b61*b548 + 6*b61*b550 + 20*b61*b551 + 44*b61*
     b554 + 74*b61*b555 + 37*b61*b556 + 19*b61*b557 + 47*b61*b558 + 31*b61*b559
      + 264*b61*b565 + 85*b61*b566 + 37*b61*b568 + 219*b61*b569 + 45*b61*b570
      + 19*b61*b575 + 10*b61*b576 + 54*b61*b578 + 39*b61*b579 + 107*b61*b581 + 
     28*b61*b582 + 90*b61*b585 + 25*b61*b586 + 100*b61*b587 + 21*b61*b588 + 41*
     b61*b589 + 48*b61*b592 + 33*b61*b595 + 138*b61*b598 + 27*b61*b600 + 73*b61
     *b601 + 12*b61*b603 + 26*b61*b604 + 99*b61*b605 + 154*b61*b606 + 117*b61*
     b607 + 63*b61*b608 + 180*b61*b609 + 84*b61*b611 + 10*b61*b612 + 35*b61*
     b613 + 50*b61*b615 + 41*b61*b616 + 76*b61*b617 + 23*b62*b237 + b62*b246 + 
     203*b62*b257 + 65*b62*b262 + 89*b62*b264 + 98*b62*b265 + 10*b62*b267 + 48*
     b62*b268 + 3*b62*b269 + 60*b62*b271 + 5*b62*b274 + 6*b62*b275 + 23*b62*
     b277 + 6*b62*b279 + 143*b62*b285 + 27*b62*b288 + 139*b62*b289 + 28*b62*
     b291 + 12*b62*b296 + 22*b62*b298 + 54*b62*b303 + 5*b62*b512 + 67*b62*b514
      + 20*b62*b515 + 13*b62*b516 + 32*b62*b518 + 20*b62*b519 + 21*b62*b522 + 
     32*b62*b524 + 91*b62*b525 + 40*b62*b527 + 11*b62*b530 + 55*b62*b531 + 8*
     b62*b533 + 23*b62*b534 + 18*b62*b536 + 28*b62*b537 + 5*b62*b538 + 116*b62*
     b540 + 39*b62*b541 + 11*b62*b543 + 26*b62*b544 + 5*b62*b545 + 16*b62*b546
      + 12*b62*b547 + 111*b62*b548 + 6*b62*b551 + 27*b62*b556 + 27*b62*b557 + 
     106*b62*b558 + 145*b62*b559 + 4*b62*b561 + 73*b62*b565 + 148*b62*b566 + 
     226*b62*b567 + 130*b62*b568 + 89*b62*b569 + 135*b62*b570 + 5*b62*b571 + 15
     *b62*b573 + 85*b62*b575 + 79*b62*b576 + 42*b62*b581 + 10*b62*b582 + 22*b62
     *b584 + 93*b62*b585 + 5*b62*b588 + 12*b62*b589 + 20*b62*b592 + 72*b62*b595
      + 3*b62*b596 + 10*b62*b597 + 5*b62*b601 + 88*b62*b602 + 10*b62*b608 + 68*
     b62*b610 + 30*b62*b611 + 2*b62*b616 + 10*b62*b617 + 2*b63*b237 + 13*b63*
     b249 + 65*b63*b259 + 47*b63*b262 + 33*b63*b264 + 10*b63*b270 + 12*b63*b271
      + 28*b63*b272 + 64*b63*b275 + 8*b63*b278 + 22*b63*b280 + 12*b63*b281 + 8*
     b63*b284 + 9*b63*b287 + 33*b63*b288 + 98*b63*b289 + 58*b63*b290 + 23*b63*
     b291 + 4*b63*b297 + 37*b63*b299 + 217*b63*b300 + 250*b63*b301 + 160*b63*
     b302 + 50*b63*b304 + 76*b63*b306 + 156*b63*b307 + 106*b63*b309 + 27*b63*
     b512 + 13*b63*b513 + 60*b63*b514 + 3*b63*b515 + 27*b63*b516 + 36*b63*b520
      + 40*b63*b521 + 28*b63*b522 + 34*b63*b523 + 11*b63*b526 + 13*b63*b527 + 3
     *b63*b529 + 11*b63*b533 + 84*b63*b534 + 29*b63*b535 + 61*b63*b538 + 53*b63
     *b541 + 27*b63*b547 + 32*b63*b550 + 14*b63*b551 + 51*b63*b552 + 14*b63*
     b553 + 47*b63*b555 + 132*b63*b558 + 9*b63*b560 + 62*b63*b569 + 6*b63*b571
      + 5*b63*b572 + 47*b63*b574 + 21*b63*b576 + 37*b63*b577 + 39*b63*b579 + 3*
     b63*b581 + 12*b63*b582 + 37*b63*b583 + 26*b63*b585 + 56*b63*b586 + b63*
     b591 + 9*b63*b592 + 151*b63*b595 + 9*b63*b596 + 29*b63*b597 + 31*b63*b599
      + 27*b63*b600 + 31*b63*b603 + 28*b63*b604 + 12*b63*b605 + 25*b63*b606 + 5
     *b63*b607 + 8*b63*b608 + 88*b63*b609 + 27*b63*b611 + 10*b63*b613 + 24*b63*
     b615 + 29*b63*b616 + 17*b63*b617 + 109*b64*b224 + 16*b64*b249 + 17*b64*
     b252 + 37*b64*b253 + 84*b64*b256 + 47*b64*b257 + 58*b64*b259 + 76*b64*b260
      + 5*b64*b262 + 22*b64*b264 + 127*b64*b265 + 57*b64*b266 + 2*b64*b268 + 46
     *b64*b271 + b64*b272 + 41*b64*b273 + 17*b64*b278 + 25*b64*b283 + 63*b64*
     b285 + 20*b64*b286 + 162*b64*b287 + 17*b64*b289 + 32*b64*b290 + 55*b64*
     b291 + 72*b64*b292 + 11*b64*b298 + 29*b64*b303 + 162*b64*b305 + 73*b64*
     b306 + 23*b64*b307 + 2*b64*b511 + 21*b64*b513 + 50*b64*b515 + 19*b64*b516
      + 41*b64*b518 + 34*b64*b521 + 38*b64*b522 + 16*b64*b523 + 105*b64*b525 + 
     21*b64*b526 + 3*b64*b528 + 17*b64*b532 + b64*b533 + 53*b64*b534 + 30*b64*
     b535 + 24*b64*b536 + 43*b64*b537 + 86*b64*b538 + 7*b64*b539 + 33*b64*b542
      + 15*b64*b544 + 4*b64*b545 + 92*b64*b548 + 32*b64*b549 + 9*b64*b555 + 30*
     b64*b559 + 71*b64*b560 + 32*b64*b563 + 36*b64*b564 + 35*b64*b565 + 91*b64*
     b566 + 155*b64*b567 + 33*b64*b569 + 114*b64*b570 + 19*b64*b572 + 32*b64*
     b577 + 34*b64*b578 + 19*b64*b579 + 39*b64*b582 + 216*b64*b584 + 69*b64*
     b586 + 23*b64*b589 + 22*b64*b591 + 9*b64*b593 + 11*b64*b596 + 18*b64*b601
      + 65*b64*b613 + 121*b65*b224 + 53*b65*b237 + 41*b65*b253 + 22*b65*b254 + 
     14*b65*b257 + 56*b65*b259 + 4*b65*b260 + 47*b65*b262 + 12*b65*b263 + 67*
     b65*b266 + 17*b65*b268 + 11*b65*b269 + 82*b65*b276 + 13*b65*b278 + 57*b65*
     b281 + 7*b65*b282 + 25*b65*b283 + 34*b65*b284 + 33*b65*b286 + 38*b65*b287
      + 58*b65*b290 + 68*b65*b291 + 17*b65*b293 + 20*b65*b295 + 38*b65*b298 + 
     10*b65*b300 + 72*b65*b303 + 213*b65*b305 + 44*b65*b306 + 252*b65*b308 + 28
     *b65*b514 + 26*b65*b515 + 24*b65*b517 + 24*b65*b518 + 131*b65*b519 + 204*
     b65*b520 + 4*b65*b521 + 56*b65*b523 + 54*b65*b529 + 22*b65*b532 + 10*b65*
     b535 + 28*b65*b536 + 6*b65*b537 + 29*b65*b540 + 50*b65*b545 + 28*b65*b546
      + 15*b65*b547 + 47*b65*b549 + 65*b65*b550 + 22*b65*b553 + 12*b65*b554 + 
     b65*b555 + 13*b65*b558 + 4*b65*b560 + 20*b65*b563 + 12*b65*b564 + 87*b65*
     b566 + 26*b65*b567 + 114*b65*b568 + 81*b65*b570 + 51*b65*b573 + 17*b65*
     b578 + 56*b65*b579 + 23*b65*b581 + 30*b65*b582 + 224*b65*b584 + 27*b65*
     b588 + 66*b65*b589 + 48*b65*b591 + 19*b65*b593 + 100*b65*b594 + 61*b65*
     b596 + 27*b65*b597 + 78*b65*b599 + 21*b65*b601 + 19*b65*b603 + 88*b65*b604
      + 7*b65*b607 + 39*b65*b613 + 4*b65*b614 + 3*b65*b615 + 23*b65*b616 + 21*
     b65*b617 + 50*b65*b618 + 11*b66*b224 + 16*b66*b246 + 9*b66*b249 + 4*b66*
     b267 + 3*b66*b272 + 12*b66*b274 + 28*b66*b276 + 40*b66*b277 + 17*b66*b281
      + 21*b66*b290 + 3*b66*b301 + 4*b66*b302 + 6*b66*b304 + 5*b66*b308 + 7*b66
     *b309 + 27*b66*b511 + 7*b66*b512 + 13*b66*b513 + 8*b66*b515 + 32*b66*b516
      + 5*b66*b517 + b66*b518 + 59*b66*b520 + 44*b66*b524 + 8*b66*b526 + 151*
     b66*b528 + 9*b66*b529 + 10*b66*b530 + 23*b66*b531 + 22*b66*b532 + 23*b66*
     b533 + 10*b66*b534 + 6*b66*b535 + 36*b66*b536 + 49*b66*b537 + 109*b66*b553
      + 26*b66*b557 + 8*b66*b559 + 7*b66*b565 + 8*b66*b568 + 11*b66*b574 + 4*
     b66*b575 + 14*b66*b576 + 12*b66*b577 + 23*b66*b578 + 29*b66*b579 + 44*b66*
     b580 + 9*b66*b581 + 27*b66*b582 + 111*b66*b583 + 8*b66*b585 + 108*b66*b589
      + 25*b66*b592 + 28*b66*b596 + 21*b66*b599 + 22*b66*b600 + 93*b66*b601 + 
     b66*b608 + 3*b66*b609 + 9*b66*b610 + 13*b66*b611 + 10*b66*b612 + 6*b66*
     b614 + 15*b66*b616 + 22*b66*b617 + 18*b66*b618 + 31*b67*b224 + 21*b67*b237
      + 50*b67*b246 + 72*b67*b249 + 48*b67*b252 + 36*b67*b256 + 39*b67*b260 + 8
     *b67*b261 + 13*b67*b262 + 28*b67*b263 + 26*b67*b264 + 5*b67*b267 + 7*b67*
     b268 + 7*b67*b271 + 46*b67*b274 + 36*b67*b275 + 5*b67*b276 + 10*b67*b278
      + 16*b67*b280 + 8*b67*b285 + 114*b67*b286 + 40*b67*b288 + 8*b67*b289 + 
     126*b67*b292 + 27*b67*b298 + 30*b67*b304 + 215*b67*b306 + 311*b67*b309 + 
     71*b67*b512 + 85*b67*b513 + 23*b67*b518 + 34*b67*b520 + 30*b67*b523 + 38*
     b67*b525 + 8*b67*b526 + 19*b67*b527 + b67*b528 + 41*b67*b531 + 6*b67*b533
      + 13*b67*b534 + 22*b67*b535 + 16*b67*b536 + b67*b537 + 14*b67*b538 + 19*
     b67*b539 + 4*b67*b541 + 19*b67*b542 + 57*b67*b544 + b67*b545 + 2*b67*b549
      + 36*b67*b551 + 47*b67*b554 + 18*b67*b556 + 37*b67*b558 + 172*b67*b560 + 
     4*b67*b561 + 59*b67*b563 + 82*b67*b564 + 113*b67*b565 + 204*b67*b566 + 115
     *b67*b568 + 131*b67*b569 + 8*b67*b574 + 44*b67*b575 + 6*b67*b576 + 32*b67*
     b577 + 12*b67*b579 + 11*b67*b580 + 17*b67*b582 + 80*b67*b584 + 59*b67*b585
      + 26*b67*b586 + 12*b67*b588 + 35*b67*b590 + 5*b67*b592 + 12*b67*b593 + 2*
     b67*b595 + 23*b67*b602 + 27*b67*b604 + 13*b67*b606 + 43*b67*b608 + 9*b67*
     b609 + 2*b67*b617 + 50*b68*b224 + b68*b237 + 3*b68*b246 + 21*b68*b252 + 59
     *b68*b253 + 28*b68*b257 + 5*b68*b259 + b68*b261 + 12*b68*b262 + 4*b68*b263
      + 12*b68*b270 + 63*b68*b273 + 13*b68*b278 + b68*b279 + 40*b68*b281 + 31*
     b68*b282 + 43*b68*b285 + 108*b68*b287 + 24*b68*b288 + 30*b68*b291 + 8*b68*
     b292 + 74*b68*b294 + 20*b68*b296 + 38*b68*b297 + 4*b68*b298 + 46*b68*b301
      + 29*b68*b302 + 33*b68*b304 + 43*b68*b306 + 13*b68*b513 + 7*b68*b514 + 
     101*b68*b517 + 3*b68*b519 + 6*b68*b522 + 25*b68*b523 + b68*b527 + 74*b68*
     b528 + 23*b68*b530 + 7*b68*b533 + 18*b68*b534 + 23*b68*b537 + 5*b68*b539
      + 53*b68*b541 + 16*b68*b543 + 72*b68*b551 + 19*b68*b552 + 37*b68*b556 + 8
     *b68*b557 + 31*b68*b560 + 3*b68*b562 + 21*b68*b563 + 13*b68*b564 + 123*b68
     *b565 + 54*b68*b568 + 134*b68*b569 + 7*b68*b570 + b68*b573 + 31*b68*b576
      + 9*b68*b577 + 4*b68*b578 + 60*b68*b585 + 8*b68*b586 + 30*b68*b589 + 112*
     b68*b590 + 90*b68*b593 + 25*b68*b594 + 9*b68*b597 + 17*b68*b598 + 68*b68*
     b599 + 81*b68*b600 + 23*b68*b601 + 144*b68*b602 + 82*b68*b604 + 166*b68*
     b609 + 44*b68*b613 + 54*b68*b614 + 12*b68*b617 + 12*b68*b618 + 48*b69*b256
      + 75*b69*b257 + 44*b69*b262 + 4*b69*b264 + 18*b69*b265 + 18*b69*b266 + 
     154*b69*b268 + 52*b69*b273 + b69*b276 + 24*b69*b280 + 102*b69*b281 + 11*
     b69*b284 + 33*b69*b285 + 20*b69*b290 + 6*b69*b297 + 10*b69*b299 + 9*b69*
     b301 + b69*b303 + 4*b69*b306 + 3*b69*b308 + 16*b69*b511 + 18*b69*b512 + 19
     *b69*b513 + 21*b69*b515 + 15*b69*b516 + 22*b69*b518 + 26*b69*b519 + 18*b69
     *b521 + 11*b69*b523 + 15*b69*b524 + 12*b69*b526 + 10*b69*b527 + 3*b69*b530
      + 72*b69*b531 + 10*b69*b532 + 17*b69*b533 + 8*b69*b534 + 11*b69*b535 + 13
     *b69*b542 + 2*b69*b547 + 37*b69*b550 + 2*b69*b552 + 11*b69*b557 + 9*b69*
     b560 + 3*b69*b564 + 9*b69*b565 + 9*b69*b566 + 4*b69*b567 + 12*b69*b568 + 5
     *b69*b570 + 21*b69*b571 + 22*b69*b572 + 48*b69*b573 + 4*b69*b575 + 30*b69*
     b577 + 6*b69*b578 + 28*b69*b579 + 14*b69*b580 + 5*b69*b581 + 65*b69*b582
      + 18*b69*b583 + 5*b69*b586 + b69*b587 + 21*b69*b595 + 13*b69*b596 + 3*b69
     *b597 + 2*b69*b605 + 16*b69*b607 + 16*b69*b608 + 24*b69*b611 + 4*b69*b613
      + 5*b69*b614 + 16*b69*b616 + 2*b69*b617 + 9*b69*b618 + 34*b70*b246 + 17*
     b70*b249 + 4*b70*b253 + 17*b70*b254 + 6*b70*b263 + 42*b70*b265 + 6*b70*
     b266 + 3*b70*b267 + 5*b70*b268 + 26*b70*b269 + 32*b70*b270 + 144*b70*b275
      + 10*b70*b276 + 151*b70*b278 + 64*b70*b280 + 80*b70*b284 + 18*b70*b285 + 
     29*b70*b287 + 2*b70*b294 + 11*b70*b296 + 11*b70*b297 + 29*b70*b304 + 175*
     b70*b306 + 172*b70*b309 + 2*b70*b511 + 14*b70*b514 + 19*b70*b515 + 21*b70*
     b517 + 71*b70*b519 + 26*b70*b520 + 19*b70*b521 + 22*b70*b525 + 7*b70*b526
      + 52*b70*b527 + 5*b70*b530 + 41*b70*b532 + 107*b70*b533 + b70*b534 + 4*
     b70*b537 + 8*b70*b538 + 71*b70*b539 + 22*b70*b540 + 20*b70*b541 + 30*b70*
     b544 + 51*b70*b546 + 33*b70*b547 + 54*b70*b548 + 7*b70*b554 + 11*b70*b556
      + 26*b70*b562 + 12*b70*b563 + 59*b70*b565 + 334*b70*b566 + 50*b70*b568 + 
     42*b70*b569 + 6*b70*b571 + 23*b70*b574 + 7*b70*b575 + 5*b70*b579 + 4*b70*
     b580 + 39*b70*b581 + 9*b70*b583 + 336*b70*b584 + 42*b70*b585 + 25*b70*b586
      + 22*b70*b589 + 10*b70*b590 + 8*b70*b592 + 8*b70*b594 + 3*b70*b595 + 54*
     b70*b596 + 20*b70*b597 + 21*b70*b602 + 49*b70*b606 + 93*b70*b609 + 2*b70*
     b611 + 42*b70*b612 + 7*b70*b614 + 26*b70*b616 + 17*b70*b617 + 38*b70*b618
      + 2*b71*b224 + 10*b71*b237 + 6*b71*b246 + 13*b71*b259 + 19*b71*b261 + 142
     *b71*b264 + 31*b71*b267 + 8*b71*b271 + 60*b71*b274 + 29*b71*b275 + 31*b71*
     b277 + 6*b71*b280 + 44*b71*b281 + 11*b71*b282 + 26*b71*b287 + 28*b71*b288
      + 11*b71*b289 + 23*b71*b290 + 22*b71*b291 + 7*b71*b294 + 37*b71*b295 + 33
     *b71*b297 + 25*b71*b298 + 81*b71*b300 + 16*b71*b301 + 43*b71*b303 + 19*b71
     *b307 + 245*b71*b308 + b71*b309 + 10*b71*b511 + 19*b71*b515 + 142*b71*b517
      + 60*b71*b521 + 31*b71*b523 + 44*b71*b525 + 11*b71*b526 + 26*b71*b531 + 
     28*b71*b532 + 37*b71*b534 + 33*b71*b536 + 8*b71*b538 + 42*b71*b539 + 7*b71
     *b541 + 122*b71*b545 + 3*b71*b547 + 2*b71*b551 + 6*b71*b555 + 101*b71*b556
      + 31*b71*b557 + 38*b71*b561 + 13*b71*b562 + 20*b71*b563 + 81*b71*b565 + 
     19*b71*b568 + 245*b71*b569 + b71*b570 + 2*b71*b571 + 6*b71*b572 + 13*b71*
     b575 + 29*b71*b578 + 22*b71*b580 + 7*b71*b582 + 25*b71*b583 + 16*b71*b584
      + 12*b71*b588 + 9*b71*b592 + 42*b71*b593 + 16*b71*b594 + 31*b71*b596 + 32
     *b71*b598 + 6*b71*b601 + 23*b71*b602 + 28*b71*b603 + 65*b71*b604 + 29*b71*
     b608 + 43*b71*b609 + 31*b71*b613 + 11*b71*b614 + 8*b71*b618 + 49*b72*b249
      + 15*b72*b256 + 19*b72*b257 + 25*b72*b259 + 11*b72*b266 + 64*b72*b269 + 
     13*b72*b270 + 10*b72*b274 + 7*b72*b275 + 18*b72*b278 + 32*b72*b279 + 14*
     b72*b284 + 11*b72*b286 + 17*b72*b287 + 37*b72*b294 + 27*b72*b297 + 13*b72*
     b298 + 14*b72*b299 + 10*b72*b302 + 21*b72*b303 + 8*b72*b305 + 17*b72*b306
      + 18*b72*b307 + 71*b72*b309 + 5*b72*b511 + b72*b512 + 11*b72*b513 + 17*
     b72*b515 + 7*b72*b516 + 25*b72*b517 + 22*b72*b519 + 7*b72*b520 + 12*b72*
     b522 + 9*b72*b523 + 5*b72*b525 + 17*b72*b526 + 2*b72*b527 + 8*b72*b529 + 
     13*b72*b532 + 59*b72*b533 + 14*b72*b534 + 8*b72*b535 + 30*b72*b539 + 9*b72
     *b540 + 8*b72*b541 + 36*b72*b542 + 18*b72*b544 + 6*b72*b547 + 12*b72*b551
      + 7*b72*b552 + 14*b72*b554 + 13*b72*b562 + b72*b564 + 14*b72*b569 + 6*b72
     *b571 + 16*b72*b572 + 24*b72*b580 + 32*b72*b581 + 17*b72*b584 + b72*b589
      + 46*b72*b593 + 13*b72*b596 + 26*b72*b597 + 45*b72*b599 + 33*b72*b600 + 
     24*b72*b601 + 5*b72*b602 + 23*b72*b604 + 17*b72*b606 + 22*b72*b607 + 14*
     b72*b612 + 14*b72*b613 + 40*b72*b614 + 53*b72*b616 + 9*b72*b617 + 16*b72*
     b618 + 42*b73*b254 + 37*b73*b255 + 19*b73*b256 + 8*b73*b257 + 7*b73*b259
      + 21*b73*b260 + 40*b73*b263 + 39*b73*b265 + 9*b73*b267 + 20*b73*b270 + 73
     *b73*b271 + 10*b73*b272 + 126*b73*b273 + b73*b275 + 66*b73*b276 + 19*b73*
     b278 + 35*b73*b281 + 42*b73*b282 + 33*b73*b284 + 129*b73*b285 + 37*b73*
     b287 + 7*b73*b292 + 37*b73*b293 + 33*b73*b296 + 8*b73*b297 + 113*b73*b302
      + 131*b73*b303 + 213*b73*b305 + 91*b73*b307 + 70*b73*b308 + 42*b73*b513
      + 19*b73*b514 + 40*b73*b516 + 20*b73*b518 + 10*b73*b519 + 126*b73*b520 + 
     66*b73*b522 + 19*b73*b524 + 35*b73*b525 + 42*b73*b526 + 33*b73*b528 + 129*
     b73*b529 + 37*b73*b531 + 37*b73*b533 + 33*b73*b535 + 8*b73*b536 + 28*b73*
     b538 + 3*b73*b539 + 3*b73*b543 + 119*b73*b548 + 27*b73*b549 + 9*b73*b551
      + 12*b73*b552 + b73*b553 + 43*b73*b555 + 66*b73*b559 + 6*b73*b563 + 8*b73
     *b564 + 113*b73*b566 + 91*b73*b568 + 70*b73*b569 + 8*b73*b574 + 7*b73*b575
      + b73*b578 + 7*b73*b581 + 213*b73*b585 + 7*b73*b588 + 3*b73*b589 + 46*b73
     *b590 + 84*b73*b594 + 14*b73*b595 + 19*b73*b597 + 39*b73*b599 + 33*b73*
     b606 + 131*b73*b609 + 21*b73*b611 + 9*b73*b613 + 29*b73*b615 + 37*b73*b617
      + 73*b73*b618 + 47*b74*b237 + 6*b74*b246 + 18*b74*b249 + 22*b74*b261 + 11
     *b74*b263 + 15*b74*b267 + 28*b74*b275 + 22*b74*b277 + 22*b74*b280 + 14*b74
     *b281 + 80*b74*b290 + 24*b74*b291 + b74*b292 + 46*b74*b294 + 16*b74*b297
      + 5*b74*b298 + 16*b74*b299 + 139*b74*b301 + 14*b74*b303 + 143*b74*b307 + 
     281*b74*b308 + 47*b74*b511 + 22*b74*b515 + 11*b74*b516 + 22*b74*b523 + 14*
     b74*b525 + 16*b74*b536 + 16*b74*b537 + 22*b74*b538 + 101*b74*b540 + 4*b74*
     b542 + 16*b74*b543 + 6*b74*b544 + 55*b74*b546 + 26*b74*b550 + 22*b74*b551
      + 80*b74*b552 + 36*b74*b557 + 41*b74*b558 + b74*b560 + 24*b74*b562 + 36*
     b74*b563 + 3*b74*b564 + 143*b74*b568 + 281*b74*b569 + 6*b74*b572 + 18*b74*
     b573 + 28*b74*b578 + 24*b74*b580 + b74*b581 + 46*b74*b582 + 5*b74*b583 + 
     139*b74*b584 + 8*b74*b587 + 22*b74*b590 + 10*b74*b591 + 24*b74*b593 + 15*
     b74*b594 + 16*b74*b595 + 20*b74*b597 + 40*b74*b598 + 22*b74*b601 + 80*b74*
     b602 + 132*b74*b603 + 102*b74*b604 + 15*b74*b605 + 13*b74*b606 + 13*b74*
     b607 + 41*b74*b608 + 14*b74*b609 + 15*b74*b613 + 23*b74*b615 + 18*b75*b224
      + 18*b75*b237 + 28*b75*b249 + 183*b75*b252 + 4*b75*b253 + 19*b75*b255 + 
     120*b75*b260 + 9*b75*b261 + 19*b75*b263 + 9*b75*b267 + 28*b75*b269 + 6*b75
     *b271 + 24*b75*b273 + 8*b75*b274 + 70*b75*b275 + 14*b75*b277 + 11*b75*b279
      + 23*b75*b281 + 38*b75*b285 + 67*b75*b291 + 3*b75*b295 + 2*b75*b296 + 11*
     b75*b298 + 15*b75*b299 + 10*b75*b300 + 103*b75*b301 + 143*b75*b303 + 213*
     b75*b306 + 75*b75*b308 + 123*b75*b513 + 2*b75*b514 + 12*b75*b517 + 25*b75*
     b518 + 35*b75*b519 + 27*b75*b522 + 17*b75*b524 + 173*b75*b526 + 39*b75*
     b527 + 21*b75*b530 + 3*b75*b531 + 47*b75*b532 + 88*b75*b533 + 2*b75*b536
      + 25*b75*b538 + 17*b75*b541 + 80*b75*b542 + 4*b75*b545 + 11*b75*b546 + 70
     *b75*b547 + 26*b75*b548 + 22*b75*b549 + 3*b75*b552 + 7*b75*b553 + 7*b75*
     b559 + 352*b75*b566 + 25*b75*b567 + 36*b75*b568 + 143*b75*b570 + 52*b75*
     b572 + 3*b75*b574 + 50*b75*b575 + 29*b75*b576 + 9*b75*b581 + 8*b75*b582 + 
     46*b75*b585 + 6*b75*b586 + 19*b75*b589 + 14*b75*b594 + 71*b75*b596 + 148*
     b75*b597 + 115*b75*b598 + 18*b75*b599 + 26*b75*b600 + 63*b75*b601 + 13*b75
     *b602 + 44*b75*b603 + 98*b75*b605 + 29*b75*b607 + 35*b75*b608 + 7*b75*b612
      + 38*b75*b614 + 6*b75*b615 + 35*b76*b224 + 10*b76*b237 + 15*b76*b246 + 24
     *b76*b255 + 34*b76*b256 + 13*b76*b257 + 60*b76*b259 + 3*b76*b263 + 23*b76*
     b264 + 79*b76*b267 + 19*b76*b272 + 31*b76*b274 + 28*b76*b275 + 27*b76*b278
      + 15*b76*b284 + 53*b76*b286 + 21*b76*b290 + 13*b76*b291 + 26*b76*b293 + 
     14*b76*b298 + 76*b76*b299 + 56*b76*b302 + 30*b76*b303 + 129*b76*b304 + 102
     *b76*b307 + 18*b76*b308 + 258*b76*b309 + 65*b76*b512 + 75*b76*b513 + 17*
     b76*b515 + 86*b76*b518 + 24*b76*b520 + 19*b76*b523 + 4*b76*b525 + 20*b76*
     b526 + 126*b76*b527 + 23*b76*b529 + 38*b76*b532 + 23*b76*b534 + 31*b76*
     b535 + 17*b76*b536 + 5*b76*b539 + 8*b76*b540 + 26*b76*b542 + 29*b76*b545
      + 4*b76*b546 + 76*b76*b547 + 8*b76*b549 + 61*b76*b556 + 56*b76*b558 + 25*
     b76*b559 + 88*b76*b561 + 13*b76*b565 + 10*b76*b573 + 12*b76*b576 + 65*b76*
     b577 + 31*b76*b579 + 37*b76*b581 + 13*b76*b582 + 51*b76*b584 + 209*b76*
     b585 + 88*b76*b586 + 40*b76*b587 + 24*b76*b590 + 20*b76*b594 + 17*b76*b595
      + 47*b76*b598 + 30*b76*b599 + 20*b76*b600 + 26*b76*b601 + 43*b76*b607 + 
     110*b76*b610 + 6*b76*b611 + 9*b76*b612 + 55*b76*b618 + 133*b77*b254 + 3*
     b77*b256 + 10*b77*b259 + 5*b77*b262 + 26*b77*b266 + 57*b77*b268 + 26*b77*
     b269 + 8*b77*b270 + 22*b77*b273 + 12*b77*b275 + 10*b77*b283 + 17*b77*b285
      + 8*b77*b291 + 173*b77*b292 + 20*b77*b294 + 29*b77*b295 + 55*b77*b297 + 9
     *b77*b299 + 128*b77*b300 + 26*b77*b301 + 153*b77*b302 + 81*b77*b303 + 21*
     b77*b304 + 63*b77*b305 + 124*b77*b307 + 251*b77*b308 + 43*b77*b511 + 7*b77
     *b512 + 31*b77*b515 + 57*b77*b516 + 8*b77*b517 + 31*b77*b519 + 28*b77*b521
      + 43*b77*b522 + 11*b77*b523 + 15*b77*b524 + 124*b77*b526 + 5*b77*b528 + 
     152*b77*b530 + 13*b77*b531 + 25*b77*b532 + 57*b77*b533 + 2*b77*b535 + 2*
     b77*b541 + 47*b77*b542 + 24*b77*b544 + 37*b77*b545 + 4*b77*b547 + 8*b77*
     b550 + 13*b77*b551 + 19*b77*b552 + 21*b77*b555 + 24*b77*b556 + 17*b77*b557
      + 2*b77*b559 + 10*b77*b564 + 184*b77*b570 + 8*b77*b571 + 44*b77*b572 + 3*
     b77*b573 + 8*b77*b579 + 20*b77*b583 + 7*b77*b586 + 77*b77*b588 + 15*b77*
     b589 + 64*b77*b593 + 32*b77*b594 + b77*b596 + 38*b77*b599 + 5*b77*b601 + 5
     *b77*b604 + 6*b77*b605 + 67*b77*b606 + 79*b77*b607 + 94*b77*b610 + 40*b77*
     b611 + 26*b77*b614 + 62*b77*b616 + 17*b77*b617 + 33*b77*b618 + 64*b78*b224
      + 6*b78*b237 + 74*b78*b252 + 8*b78*b253 + 10*b78*b257 + 15*b78*b261 + 9*
     b78*b263 + 15*b78*b265 + 14*b78*b268 + 6*b78*b270 + 7*b78*b271 + 8*b78*
     b273 + 33*b78*b274 + 25*b78*b275 + 16*b78*b277 + 33*b78*b278 + 22*b78*b281
      + 26*b78*b284 + 10*b78*b285 + 31*b78*b286 + 32*b78*b287 + 38*b78*b288 + 
     16*b78*b290 + 25*b78*b291 + 63*b78*b293 + 11*b78*b294 + 17*b78*b297 + 47*
     b78*b299 + 17*b78*b300 + 146*b78*b302 + 76*b78*b305 + 305*b78*b309 + 153*
     b78*b513 + 14*b78*b514 + 3*b78*b517 + 2*b78*b519 + 12*b78*b522 + 207*b78*
     b526 + 4*b78*b527 + 12*b78*b534 + 2*b78*b539 + 27*b78*b540 + 4*b78*b542 + 
     2*b78*b546 + 25*b78*b552 + 21*b78*b554 + 9*b78*b556 + 13*b78*b559 + 64*b78
     *b560 + 9*b78*b562 + 9*b78*b563 + 2*b78*b564 + 33*b78*b567 + 155*b78*b568
      + 182*b78*b569 + 18*b78*b572 + 47*b78*b573 + 4*b78*b575 + 5*b78*b576 + 57
     *b78*b577 + 5*b78*b579 + b78*b581 + 32*b78*b583 + 181*b78*b584 + 15*b78*
     b586 + 8*b78*b587 + 29*b78*b590 + 38*b78*b591 + b78*b592 + 53*b78*b593 + 3
     *b78*b594 + 22*b78*b595 + 3*b78*b601 + 10*b78*b608 + 161*b78*b609 + 158*
     b78*b610 + 142*b78*b611 + 40*b78*b612 + 10*b78*b613 + 14*b78*b614 + 41*b78
     *b615 + 117*b78*b617 + 56*b79*b224 + 8*b79*b246 + b79*b249 + 12*b79*b252
      + 61*b79*b253 + 25*b79*b254 + 50*b79*b256 + 44*b79*b257 + 14*b79*b260 + 5
     *b79*b265 + 35*b79*b270 + 28*b79*b272 + 70*b79*b274 + 54*b79*b276 + 7*b79*
     b280 + 4*b79*b282 + 26*b79*b283 + 12*b79*b285 + 18*b79*b288 + b79*b292 + 8
     *b79*b294 + 6*b79*b295 + 47*b79*b296 + 45*b79*b299 + 77*b79*b300 + 343*b79
     *b301 + 74*b79*b303 + 245*b79*b304 + 173*b79*b309 + 116*b79*b511 + 211*b79
     *b515 + 13*b79*b516 + 3*b79*b517 + 56*b79*b520 + 17*b79*b523 + 23*b79*b524
      + 36*b79*b525 + 27*b79*b528 + 57*b79*b530 + 45*b79*b531 + 15*b79*b533 + 
     27*b79*b536 + 14*b79*b539 + 45*b79*b541 + 175*b79*b549 + 76*b79*b550 + 72*
     b79*b551 + 30*b79*b552 + 66*b79*b556 + 17*b79*b558 + 7*b79*b561 + 5*b79*
     b562 + 70*b79*b566 + 162*b79*b568 + 161*b79*b569 + 41*b79*b575 + 86*b79*
     b576 + 3*b79*b577 + 19*b79*b578 + 19*b79*b579 + 76*b79*b580 + 67*b79*b583
      + 89*b79*b585 + 4*b79*b587 + 9*b79*b589 + 31*b79*b591 + 36*b79*b593 + 3*
     b79*b595 + 12*b79*b597 + 7*b79*b598 + b79*b600 + 4*b79*b602 + 60*b79*b605
      + 6*b79*b606 + 6*b79*b607 + 243*b79*b610 + 7*b79*b612 + 37*b79*b613 + 32*
     b79*b614 + 37*b79*b615 + b79*b617 + 53*b79*b618 + 23*b80*b246 + 29*b80*
     b252 + 33*b80*b253 + 35*b80*b254 + 44*b80*b255 + 8*b80*b256 + 23*b80*b259
      + 12*b80*b260 + 16*b80*b263 + 45*b80*b266 + 13*b80*b268 + 32*b80*b270 + 
     46*b80*b271 + 35*b80*b275 + 11*b80*b278 + 17*b80*b284 + 29*b80*b285 + 194*
     b80*b287 + 16*b80*b288 + 41*b80*b290 + 50*b80*b292 + 10*b80*b293 + 34*b80*
     b294 + 14*b80*b297 + 58*b80*b299 + 75*b80*b300 + 42*b80*b302 + 111*b80*
     b304 + 219*b80*b305 + 92*b80*b306 + 133*b80*b307 + 108*b80*b308 + 31*b80*
     b511 + 42*b80*b515 + 91*b80*b517 + 33*b80*b519 + 29*b80*b520 + 15*b80*b521
      + 95*b80*b522 + 2*b80*b523 + 14*b80*b525 + 21*b80*b526 + 51*b80*b527 + 11
     *b80*b530 + 8*b80*b534 + 2*b80*b535 + 42*b80*b539 + 23*b80*b540 + 13*b80*
     b542 + 24*b80*b543 + 34*b80*b546 + 11*b80*b549 + 21*b80*b551 + 35*b80*b552
      + 3*b80*b553 + 9*b80*b554 + 2*b80*b556 + 8*b80*b560 + 142*b80*b570 + 33*
     b80*b571 + 2*b80*b573 + 8*b80*b574 + 78*b80*b577 + 28*b80*b579 + 37*b80*
     b580 + 65*b80*b583 + 91*b80*b584 + 40*b80*b589 + 23*b80*b590 + 48*b80*b593
      + 71*b80*b594 + 24*b80*b595 + 2*b80*b598 + 91*b80*b599 + 72*b80*b601 + 
     129*b80*b604 + 18*b80*b607 + 116*b80*b609 + 63*b80*b612 + 31*b80*b613 + 54
     *b80*b614 + 34*b81*b237 + 6*b81*b246 + 6*b81*b254 + 11*b81*b255 + 8*b81*
     b256 + 18*b81*b259 + 3*b81*b260 + 9*b81*b262 + 24*b81*b264 + 48*b81*b267
      + 29*b81*b273 + 44*b81*b274 + 27*b81*b275 + 43*b81*b281 + 72*b81*b283 + 
     15*b81*b284 + 8*b81*b285 + 48*b81*b289 + 58*b81*b290 + 20*b81*b291 + 37*
     b81*b292 + 7*b81*b297 + 38*b81*b298 + 21*b81*b302 + 63*b81*b303 + 10*b81*
     b304 + 278*b81*b307 + 90*b81*b512 + 112*b81*b515 + 70*b81*b516 + 19*b81*
     b518 + 16*b81*b519 + 3*b81*b522 + 65*b81*b523 + 4*b81*b524 + 50*b81*b526
      + 14*b81*b530 + b81*b531 + 85*b81*b532 + 48*b81*b533 + 39*b81*b534 + 46*
     b81*b535 + 35*b81*b537 + 80*b81*b538 + 73*b81*b539 + 2*b81*b540 + 8*b81*
     b541 + 37*b81*b542 + b81*b544 + 69*b81*b545 + 39*b81*b547 + 10*b81*b548 + 
     5*b81*b550 + 11*b81*b554 + 40*b81*b555 + 12*b81*b557 + 2*b81*b558 + 67*b81
     *b561 + 50*b81*b562 + 71*b81*b563 + 37*b81*b564 + 62*b81*b565 + 29*b81*
     b569 + 114*b81*b570 + 43*b81*b571 + 8*b81*b573 + 45*b81*b574 + 33*b81*b576
      + 52*b81*b577 + 25*b81*b579 + 55*b81*b584 + 56*b81*b585 + 20*b81*b586 + 
     12*b81*b588 + 65*b81*b589 + 11*b81*b591 + 39*b81*b592 + 94*b81*b596 + 111*
     b81*b597 + 29*b81*b599 + 104*b81*b601 + 27*b81*b604 + 94*b81*b608 + 16*b81
     *b610 + 37*b81*b615 + 20*b81*b616 + 27*b81*b618 + 24*b82*b237 + 35*b82*
     b249 + 5*b82*b252 + 6*b82*b253 + 6*b82*b254 + 24*b82*b256 + 48*b82*b257 + 
     8*b82*b259 + 4*b82*b262 + 3*b82*b266 + 71*b82*b269 + 5*b82*b270 + 3*b82*
     b271 + 134*b82*b272 + 6*b82*b276 + 24*b82*b277 + b82*b281 + 15*b82*b290 + 
     21*b82*b291 + 8*b82*b292 + 23*b82*b298 + 79*b82*b299 + 45*b82*b300 + 226*
     b82*b301 + 61*b82*b302 + 37*b82*b304 + 15*b82*b305 + 35*b82*b306 + 151*b82
     *b308 + 3*b82*b515 + 5*b82*b516 + 35*b82*b517 + 15*b82*b520 + 14*b82*b521
      + 23*b82*b524 + 3*b82*b526 + 29*b82*b527 + 2*b82*b528 + b82*b529 + 16*b82
     *b530 + 5*b82*b531 + 23*b82*b532 + b82*b533 + 4*b82*b534 + 18*b82*b535 + 
     26*b82*b536 + 4*b82*b543 + 56*b82*b544 + 9*b82*b545 + 4*b82*b550 + 4*b82*
     b553 + 3*b82*b554 + 14*b82*b561 + 2*b82*b564 + 116*b82*b568 + 171*b82*b570
      + 36*b82*b571 + 93*b82*b572 + 90*b82*b578 + 34*b82*b579 + 5*b82*b582 + 19
     *b82*b586 + 9*b82*b588 + 87*b82*b592 + 6*b82*b594 + 6*b82*b595 + 129*b82*
     b596 + 94*b82*b600 + 57*b82*b601 + 20*b82*b605 + 90*b82*b609 + 4*b82*b611
      + 9*b82*b613 + 42*b82*b614 + 36*b82*b615 + 9*b83*b237 + 39*b83*b249 + 6*
     b83*b262 + 33*b83*b269 + 27*b83*b270 + 7*b83*b274 + 8*b83*b276 + 11*b83*
     b283 + 16*b83*b285 + 15*b83*b287 + 4*b83*b291 + 3*b83*b293 + 4*b83*b295 + 
     12*b83*b298 + 11*b83*b302 + 5*b83*b306 + 13*b83*b307 + 4*b83*b309 + 22*b83
     *b512 + 24*b83*b513 + 23*b83*b514 + 3*b83*b515 + 22*b83*b516 + 30*b83*b519
      + 19*b83*b520 + 27*b83*b523 + 20*b83*b524 + 30*b83*b525 + 82*b83*b526 + 6
     *b83*b528 + 68*b83*b530 + 22*b83*b532 + 8*b83*b535 + 16*b83*b536 + 52*b83*
     b537 + 4*b83*b541 + 94*b83*b542 + 42*b83*b547 + 12*b83*b551 + 78*b83*b555
      + 3*b83*b556 + 14*b83*b557 + 25*b83*b564 + 15*b83*b565 + 5*b83*b569 + 24*
     b83*b571 + 5*b83*b572 + 20*b83*b574 + 21*b83*b575 + 20*b83*b576 + 17*b83*
     b578 + 37*b83*b579 + 42*b83*b581 + 16*b83*b582 + 8*b83*b584 + 3*b83*b586
      + 25*b83*b588 + 27*b83*b591 + 23*b83*b599 + 119*b83*b600 + 2*b83*b601 + 2
     *b83*b602 + 7*b83*b606 + 82*b83*b607 + 2*b83*b608 + 5*b83*b609 + 25*b83*
     b611 + 6*b83*b613 + 15*b83*b614 + 100*b83*b616 + 20*b83*b617 + 13*b83*b618
      + 42*b84*b224 + 8*b84*b249 + 37*b84*b252 + 90*b84*b254 + 11*b84*b255 + 12
     *b84*b256 + 28*b84*b259 + 56*b84*b260 + 32*b84*b263 + 16*b84*b264 + 70*b84
     *b270 + 26*b84*b272 + 34*b84*b276 + 15*b84*b278 + 33*b84*b282 + 28*b84*
     b283 + 51*b84*b286 + 13*b84*b289 + 28*b84*b293 + 8*b84*b294 + 72*b84*b296
      + 47*b84*b297 + 99*b84*b300 + 152*b84*b303 + 51*b84*b304 + 125*b84*b305
      + 105*b84*b306 + 423*b84*b309 + 91*b84*b511 + 6*b84*b512 + 54*b84*b515 + 
     20*b84*b520 + 25*b84*b523 + 54*b84*b525 + 47*b84*b528 + 65*b84*b529 + 45*
     b84*b531 + 9*b84*b532 + 40*b84*b534 + 17*b84*b537 + 33*b84*b538 + 2*b84*
     b543 + 2*b84*b544 + 32*b84*b545 + 37*b84*b549 + b84*b550 + 16*b84*b553 + 
     17*b84*b554 + 54*b84*b555 + 71*b84*b556 + 37*b84*b560 + 19*b84*b561 + 75*
     b84*b562 + 70*b84*b566 + 13*b84*b568 + 50*b84*b569 + 13*b84*b572 + 3*b84*
     b574 + 24*b84*b576 + 84*b84*b577 + 163*b84*b578 + 19*b84*b579 + 70*b84*
     b580 + 76*b84*b581 + 36*b84*b583 + 102*b84*b584 + 31*b84*b587 + 13*b84*
     b588 + 5*b84*b589 + 3*b84*b593 + 20*b84*b595 + 27*b84*b596 + 113*b84*b597
      + 15*b84*b599 + 8*b84*b600 + 10*b84*b601 + 81*b84*b602 + 7*b84*b604 + 111
     *b84*b606 + 30*b84*b608 + 29*b84*b612 + 23*b84*b613 + 6*b84*b615 + 22*b85*
     b224 + 59*b85*b252 + 4*b85*b253 + 26*b85*b254 + 12*b85*b255 + 37*b85*b260
      + 20*b85*b263 + 18*b85*b265 + 19*b85*b266 + 23*b85*b267 + b85*b269 + 24*
     b85*b271 + 109*b85*b272 + 38*b85*b274 + 49*b85*b276 + 119*b85*b277 + 33*
     b85*b278 + 14*b85*b279 + 67*b85*b281 + 35*b85*b286 + 33*b85*b287 + b85*
     b288 + 73*b85*b290 + 14*b85*b295 + 150*b85*b300 + 119*b85*b304 + 379*b85*
     b305 + 188*b85*b309 + 103*b85*b511 + 21*b85*b514 + 16*b85*b515 + 44*b85*
     b517 + 7*b85*b518 + 80*b85*b520 + 24*b85*b526 + 20*b85*b527 + 19*b85*b528
      + 12*b85*b529 + 26*b85*b533 + 31*b85*b535 + 15*b85*b536 + 81*b85*b537 + 
     44*b85*b540 + 27*b85*b542 + 13*b85*b545 + 18*b85*b546 + 2*b85*b548 + 12*
     b85*b551 + 191*b85*b553 + 70*b85*b557 + 12*b85*b558 + 10*b85*b559 + 32*b85
     *b561 + 60*b85*b566 + 27*b85*b568 + 150*b85*b569 + 60*b85*b572 + 25*b85*
     b573 + 6*b85*b574 + 14*b85*b575 + 11*b85*b578 + 15*b85*b580 + 7*b85*b581
      + 10*b85*b582 + 133*b85*b583 + 224*b85*b584 + 35*b85*b590 + 43*b85*b594
      + 18*b85*b595 + 7*b85*b597 + 14*b85*b600 + 192*b85*b601 + 10*b85*b606 + 6
     *b85*b608 + 69*b85*b610 + 27*b85*b612 + 21*b85*b614 + 41*b86*b224 + 52*b86
     *b246 + 30*b86*b249 + 57*b86*b252 + 5*b86*b253 + 7*b86*b257 + 28*b86*b260
      + 3*b86*b263 + 27*b86*b266 + 9*b86*b267 + 11*b86*b270 + b86*b271 + 5*b86*
     b272 + 92*b86*b275 + 21*b86*b277 + 206*b86*b278 + 48*b86*b281 + 171*b86*
     b284 + 58*b86*b286 + 14*b86*b287 + 4*b86*b288 + 25*b86*b290 + 40*b86*b291
      + 17*b86*b292 + 27*b86*b295 + 15*b86*b296 + 48*b86*b300 + 246*b86*b304 + 
     221*b86*b305 + 8*b86*b307 + 143*b86*b309 + 90*b86*b511 + 46*b86*b513 + 18*
     b86*b514 + 48*b86*b515 + 24*b86*b517 + 10*b86*b520 + 113*b86*b521 + 29*b86
     *b522 + 36*b86*b526 + 13*b86*b527 + 25*b86*b529 + 110*b86*b533 + 5*b86*
     b536 + 33*b86*b537 + 63*b86*b539 + 4*b86*b540 + 42*b86*b544 + 38*b86*b546
      + b86*b547 + 53*b86*b548 + b86*b550 + 9*b86*b551 + 167*b86*b553 + 44*b86*
     b554 + 68*b86*b556 + 24*b86*b558 + 8*b86*b563 + 4*b86*b564 + 69*b86*b566
      + 136*b86*b569 + 45*b86*b575 + 5*b86*b579 + 67*b86*b583 + 304*b86*b584 + 
     2*b86*b588 + 12*b86*b590 + 19*b86*b594 + 38*b86*b595 + 79*b86*b596 + 11*
     b86*b597 + 5*b86*b599 + 13*b86*b600 + 39*b86*b601 + 3*b86*b603 + 18*b86*
     b606 + 25*b86*b609 + 310*b86*b610 + 35*b86*b612 + 66*b86*b617 + 40*b87*
     b246 + 12*b87*b254 + 8*b87*b256 + 10*b87*b257 + 25*b87*b260 + 8*b87*b262
      + 2*b87*b264 + 11*b87*b267 + 12*b87*b268 + 13*b87*b269 + 3*b87*b271 + 25*
     b87*b274 + 35*b87*b275 + 19*b87*b280 + 4*b87*b281 + 101*b87*b282 + 34*b87*
     b283 + 15*b87*b285 + 157*b87*b286 + 58*b87*b288 + 5*b87*b289 + 15*b87*b290
      + 18*b87*b292 + 7*b87*b295 + 19*b87*b301 + 20*b87*b303 + 113*b87*b304 + 
     23*b87*b305 + 21*b87*b306 + 9*b87*b511 + 7*b87*b512 + 3*b87*b515 + 19*b87*
     b516 + 28*b87*b518 + 45*b87*b519 + 25*b87*b520 + 5*b87*b522 + 7*b87*b523
      + 40*b87*b524 + b87*b528 + 21*b87*b531 + 36*b87*b533 + 22*b87*b535 + 29*
     b87*b536 + 14*b87*b537 + 24*b87*b539 + 125*b87*b542 + 5*b87*b549 + 21*b87*
     b551 + 5*b87*b554 + 17*b87*b557 + 22*b87*b558 + 30*b87*b560 + 22*b87*b561
      + 50*b87*b563 + 33*b87*b564 + 134*b87*b565 + 92*b87*b566 + 32*b87*b568 + 
     61*b87*b569 + 7*b87*b570 + 13*b87*b571 + 28*b87*b573 + 6*b87*b575 + b87*
     b579 + 12*b87*b580 + 13*b87*b582 + 14*b87*b583 + 20*b87*b588 + 8*b87*b589
      + 42*b87*b591 + 23*b87*b592 + 13*b87*b599 + 29*b87*b615 + 94*b87*b616 + 
     30*b87*b617 + 169*b88*b252 + 94*b88*b255 + 47*b88*b256 + 2*b88*b261 + 35*
     b88*b262 + 12*b88*b264 + 15*b88*b267 + 4*b88*b269 + 36*b88*b270 + 112*b88*
     b275 + 5*b88*b277 + 43*b88*b281 + 42*b88*b284 + 66*b88*b285 + 22*b88*b286
      + 25*b88*b287 + 46*b88*b289 + 18*b88*b296 + 139*b88*b304 + 55*b88*b306 + 
     73*b88*b307 + 8*b88*b511 + 8*b88*b512 + 70*b88*b513 + b88*b516 + 41*b88*
     b519 + b88*b520 + 40*b88*b521 + 50*b88*b522 + 100*b88*b524 + 66*b88*b526
      + 2*b88*b527 + 13*b88*b532 + b88*b533 + 16*b88*b534 + 25*b88*b536 + 56*
     b88*b537 + 18*b88*b539 + 19*b88*b541 + 67*b88*b542 + 2*b88*b543 + 46*b88*
     b545 + 5*b88*b546 + 81*b88*b547 + 12*b88*b548 + 11*b88*b550 + 21*b88*b553
      + 14*b88*b554 + 95*b88*b555 + 38*b88*b556 + 36*b88*b557 + 11*b88*b558 + 7
     *b88*b559 + 32*b88*b562 + 17*b88*b564 + 176*b88*b565 + 129*b88*b569 + 2*
     b88*b570 + 33*b88*b571 + 116*b88*b572 + 35*b88*b573 + 2*b88*b574 + 12*b88*
     b575 + 22*b88*b576 + 39*b88*b579 + 28*b88*b580 + 44*b88*b581 + 71*b88*b582
      + 149*b88*b584 + 17*b88*b585 + 23*b88*b586 + 38*b88*b589 + 20*b88*b591 + 
     66*b88*b592 + 33*b88*b594 + b88*b596 + 20*b88*b597 + 14*b88*b599 + 6*b88*
     b600 + 29*b88*b601 + 5*b88*b602 + 17*b88*b608 + 178*b88*b609 + 60*b88*b611
      + 74*b88*b615 + 11*b88*b618 + 6*b89*b224 + 47*b89*b237 + 45*b89*b246 + 16
     *b89*b249 + 22*b89*b252 + 24*b89*b253 + 5*b89*b254 + 3*b89*b255 + 82*b89*
     b256 + 38*b89*b257 + 3*b89*b263 + 38*b89*b266 + 36*b89*b267 + 37*b89*b268
      + 40*b89*b269 + 85*b89*b270 + 19*b89*b271 + 7*b89*b273 + 41*b89*b274 + 15
     *b89*b275 + 21*b89*b280 + 5*b89*b281 + 17*b89*b282 + 15*b89*b284 + 28*b89*
     b285 + 29*b89*b286 + 12*b89*b287 + 7*b89*b290 + 71*b89*b300 + 97*b89*b307
      + 21*b89*b309 + 21*b89*b515 + 68*b89*b517 + 16*b89*b519 + 6*b89*b522 + 5*
     b89*b523 + 8*b89*b524 + 35*b89*b527 + 47*b89*b532 + 13*b89*b533 + 34*b89*
     b534 + b89*b535 + 41*b89*b536 + 5*b89*b537 + 21*b89*b538 + 26*b89*b539 + 
     68*b89*b540 + 6*b89*b545 + 39*b89*b546 + 21*b89*b548 + 7*b89*b549 + 18*b89
     *b550 + 11*b89*b551 + 86*b89*b554 + 41*b89*b555 + 125*b89*b556 + 26*b89*
     b557 + 27*b89*b558 + 16*b89*b559 + 10*b89*b562 + 59*b89*b563 + 51*b89*b566
      + 85*b89*b567 + 212*b89*b569 + 100*b89*b575 + 25*b89*b579 + 29*b89*b580
      + 8*b89*b581 + 36*b89*b582 + 31*b89*b583 + 101*b89*b584 + 11*b89*b585 + 
     75*b89*b586 + 27*b89*b588 + 24*b89*b590 + 11*b89*b592 + 30*b89*b594 + 65*
     b89*b595 + 78*b89*b597 + 6*b89*b599 + 11*b89*b603 + 29*b89*b604 + 27*b89*
     b606 + 32*b89*b608 + 84*b89*b609 + 77*b89*b610 + 6*b89*b611 + 49*b89*b612
      + 17*b89*b615 + 3*b90*b264 + 16*b90*b265 + 11*b90*b272 + 28*b90*b273 + 3*
     b90*b275 + 27*b90*b280 + b90*b283 + 19*b90*b285 + 63*b90*b291 + 5*b90*b292
      + 4*b90*b297 + 13*b90*b298 + 11*b90*b299 + 31*b90*b300 + 7*b90*b302 + 3*
     b90*b303 + 5*b90*b306 + 12*b90*b307 + 31*b90*b308 + 17*b90*b511 + 7*b90*
     b512 + 6*b90*b513 + 25*b90*b514 + 54*b90*b515 + 9*b90*b516 + 55*b90*b518
      + 22*b90*b521 + 77*b90*b522 + 76*b90*b523 + 36*b90*b524 + 109*b90*b525 + 
     19*b90*b526 + 33*b90*b528 + 3*b90*b530 + 57*b90*b531 + 18*b90*b532 + 13*
     b90*b533 + 8*b90*b534 + 36*b90*b535 + 13*b90*b538 + 5*b90*b542 + 12*b90*
     b546 + 15*b90*b547 + b90*b548 + 102*b90*b551 + 17*b90*b555 + 20*b90*b559
      + 4*b90*b567 + 5*b90*b570 + b90*b571 + 3*b90*b572 + 49*b90*b573 + 21*b90*
     b574 + 14*b90*b575 + 29*b90*b576 + 11*b90*b577 + 36*b90*b582 + 2*b90*b584
      + b90*b585 + 47*b90*b589 + 21*b90*b590 + 51*b90*b592 + 69*b90*b596 + 7*
     b90*b600 + 39*b90*b602 + 14*b90*b603 + 12*b90*b605 + 50*b90*b606 + 10*b90*
     b611 + 18*b90*b612 + 15*b90*b613 + 16*b90*b614 + 13*b90*b615 + 3*b90*b616
      + 19*b90*b617 + 18*b90*b618 + 141*b91*b224 + 53*b91*b237 + 33*b91*b249 + 
     69*b91*b253 + 5*b91*b262 + 10*b91*b263 + 76*b91*b265 + 73*b91*b269 + 29*
     b91*b271 + 80*b91*b273 + 39*b91*b274 + 47*b91*b275 + 36*b91*b279 + 40*b91*
     b280 + 6*b91*b283 + 68*b91*b285 + 3*b91*b286 + 22*b91*b287 + 46*b91*b288
      + 33*b91*b297 + 10*b91*b298 + 10*b91*b299 + 167*b91*b300 + 121*b91*b304
      + 243*b91*b308 + 53*b91*b513 + 87*b91*b514 + 64*b91*b515 + 12*b91*b517 + 
     87*b91*b518 + 5*b91*b519 + 151*b91*b522 + 50*b91*b523 + 31*b91*b524 + 21*
     b91*b525 + b91*b526 + 17*b91*b528 + 7*b91*b533 + 89*b91*b534 + 91*b91*b535
      + 43*b91*b538 + 35*b91*b539 + 4*b91*b540 + 19*b91*b547 + 63*b91*b548 + 81
     *b91*b549 + 33*b91*b551 + 97*b91*b552 + 30*b91*b555 + 21*b91*b557 + 53*b91
     *b560 + 4*b91*b562 + 39*b91*b564 + 88*b91*b566 + 52*b91*b568 + 84*b91*b570
      + 11*b91*b572 + 20*b91*b574 + 103*b91*b575 + 45*b91*b576 + 180*b91*b580
      + 5*b91*b581 + 23*b91*b582 + 110*b91*b584 + 373*b91*b585 + 4*b91*b587 + 
     29*b91*b588 + 18*b91*b589 + 55*b91*b592 + 120*b91*b594 + 32*b91*b595 + 25*
     b91*b596 + 4*b91*b598 + 70*b91*b600 + 54*b91*b602 + 41*b91*b605 + 15*b91*
     b608 + 346*b91*b609 + 248*b91*b610 + 29*b91*b611 + 17*b91*b613 + 41*b91*
     b614 + 28*b91*b615 + 9*b91*b616 + 78*b91*b617 + 2*b92*b224 + 32*b92*b249
      + 10*b92*b253 + 87*b92*b256 + 64*b92*b257 + 23*b92*b259 + 10*b92*b262 + 7
     *b92*b269 + 44*b92*b270 + 2*b92*b272 + 6*b92*b274 + 13*b92*b275 + 9*b92*
     b284 + 46*b92*b285 + 2*b92*b291 + 3*b92*b294 + 31*b92*b296 + 2*b92*b298 + 
     62*b92*b300 + 141*b92*b301 + 47*b92*b302 + 23*b92*b303 + 20*b92*b304 + 15*
     b92*b305 + 31*b92*b306 + 14*b92*b307 + 65*b92*b309 + 6*b92*b511 + 25*b92*
     b513 + 12*b92*b515 + 9*b92*b516 + 63*b92*b517 + 13*b92*b520 + 6*b92*b522
      + b92*b523 + 9*b92*b524 + 25*b92*b525 + 14*b92*b526 + 10*b92*b527 + 9*b92
     *b530 + 24*b92*b531 + 22*b92*b532 + 6*b92*b533 + 11*b92*b534 + b92*b536 + 
     b92*b537 + 2*b92*b539 + 61*b92*b540 + 2*b92*b541 + 7*b92*b546 + b92*b547
      + 13*b92*b549 + 13*b92*b551 + 91*b92*b552 + 117*b92*b554 + 4*b92*b555 + 
     19*b92*b559 + 21*b92*b569 + 10*b92*b572 + 16*b92*b576 + 19*b92*b579 + 16*
     b92*b581 + 103*b92*b586 + 17*b92*b588 + 67*b92*b591 + 21*b92*b593 + 3*b92*
     b595 + 24*b92*b596 + 2*b92*b598 + 9*b92*b599 + 55*b92*b600 + 18*b92*b601
      + 23*b92*b602 + 4*b92*b607 + 37*b92*b611 + 18*b92*b613 + 93*b92*b614 + 19
     *b92*b616 + 16*b92*b617 + 14*b92*b618 + 38*b93*b246 + 56*b93*b249 + 20*b93
     *b252 + 9*b93*b253 + 24*b93*b254 + 21*b93*b256 + 2*b93*b259 + 12*b93*b260
      + 210*b93*b261 + 14*b93*b262 + 37*b93*b264 + 46*b93*b268 + 6*b93*b269 + 
     32*b93*b272 + 4*b93*b274 + 29*b93*b275 + 108*b93*b276 + 9*b93*b280 + 6*b93
     *b286 + 14*b93*b289 + 97*b93*b291 + 18*b93*b292 + 8*b93*b293 + 56*b93*b294
      + 3*b93*b299 + 144*b93*b300 + 331*b93*b301 + 146*b93*b303 + 253*b93*b304
      + 194*b93*b309 + 144*b93*b511 + 27*b93*b516 + 17*b93*b518 + 48*b93*b520
      + 83*b93*b523 + 3*b93*b524 + 58*b93*b525 + 2*b93*b526 + 43*b93*b527 + 23*
     b93*b528 + 4*b93*b529 + 13*b93*b531 + 18*b93*b532 + 25*b93*b534 + 43*b93*
     b535 + 27*b93*b536 + 50*b93*b541 + 238*b93*b543 + 14*b93*b547 + 2*b93*b553
      + 8*b93*b554 + 66*b93*b557 + 32*b93*b558 + 11*b93*b559 + 6*b93*b560 + 3*
     b93*b564 + 123*b93*b566 + 155*b93*b568 + 7*b93*b569 + 67*b93*b571 + b93*
     b574 + 12*b93*b576 + 38*b93*b579 + 35*b93*b583 + 103*b93*b585 + 101*b93*
     b588 + 13*b93*b590 + 52*b93*b591 + 5*b93*b592 + 29*b93*b593 + 6*b93*b596
      + 17*b93*b597 + 14*b93*b598 + 25*b93*b599 + 16*b93*b602 + 32*b93*b604 + 
     15*b93*b607 + 20*b93*b608 + 190*b93*b610 + 157*b93*b613 + 33*b93*b617 + 23
     *b93*b618 + 15*b94*b237 + 39*b94*b246 + 10*b94*b249 + 30*b94*b252 + 34*b94
     *b255 + 45*b94*b256 + 76*b94*b259 + 94*b94*b263 + 60*b94*b270 + 34*b94*
     b273 + 22*b94*b274 + 13*b94*b275 + 41*b94*b277 + 27*b94*b281 + 45*b94*b283
      + 47*b94*b284 + 72*b94*b288 + 21*b94*b290 + 16*b94*b291 + 11*b94*b293 + 
     35*b94*b295 + 95*b94*b296 + 112*b94*b301 + 204*b94*b302 + 228*b94*b304 + 
     161*b94*b305 + 20*b94*b308 + 27*b94*b512 + 55*b94*b513 + 81*b94*b515 + 40*
     b94*b517 + 18*b94*b519 + 30*b94*b522 + 33*b94*b524 + 20*b94*b526 + 20*b94*
     b529 + 8*b94*b530 + 30*b94*b531 + 57*b94*b536 + 2*b94*b537 + 69*b94*b538
      + 67*b94*b539 + 5*b94*b540 + 58*b94*b543 + 5*b94*b544 + 86*b94*b545 + 56*
     b94*b546 + 32*b94*b547 + 7*b94*b548 + 96*b94*b549 + 16*b94*b550 + 14*b94*
     b552 + 6*b94*b553 + 37*b94*b555 + 51*b94*b556 + 34*b94*b557 + 32*b94*b558
      + 37*b94*b559 + 67*b94*b561 + 99*b94*b565 + 123*b94*b568 + 169*b94*b570
      + 63*b94*b571 + 13*b94*b574 + 26*b94*b576 + 52*b94*b579 + 12*b94*b581 + 
     65*b94*b582 + 42*b94*b583 + 10*b94*b587 + 61*b94*b588 + 60*b94*b589 + 41*
     b94*b591 + 44*b94*b592 + 6*b94*b594 + 48*b94*b595 + 4*b94*b597 + 13*b94*
     b598 + 33*b94*b599 + 26*b94*b600 + 61*b94*b601 + 14*b94*b603 + 49*b94*b605
      + 22*b94*b608 + 60*b94*b609 + 273*b94*b610 + 98*b94*b611 + b94*b612 + 164
     *b94*b613 + 8*b94*b614 + 16*b94*b615 + 26*b94*b618 + 33*b95*b224 + 36*b95*
     b252 + 104*b95*b255 + 4*b95*b259 + 21*b95*b261 + 38*b95*b264 + 27*b95*b266
      + 63*b95*b267 + 4*b95*b268 + 8*b95*b269 + 24*b95*b270 + 12*b95*b275 + 80*
     b95*b276 + 126*b95*b280 + 7*b95*b285 + 12*b95*b286 + 63*b95*b288 + 10*b95*
     b289 + 19*b95*b295 + 24*b95*b296 + 28*b95*b297 + 68*b95*b300 + 332*b95*
     b301 + 120*b95*b304 + 157*b95*b307 + 31*b95*b511 + 8*b95*b512 + 74*b95*
     b513 + 12*b95*b514 + 44*b95*b516 + 11*b95*b519 + 14*b95*b520 + 121*b95*
     b521 + 68*b95*b523 + 142*b95*b524 + 23*b95*b525 + 43*b95*b526 + 20*b95*
     b527 + 4*b95*b528 + 45*b95*b531 + 84*b95*b533 + 81*b95*b537 + 6*b95*b541
      + 36*b95*b542 + 48*b95*b547 + 38*b95*b550 + 46*b95*b551 + 18*b95*b552 + 
     123*b95*b553 + 19*b95*b554 + 4*b95*b555 + 11*b95*b558 + 32*b95*b560 + 4*
     b95*b562 + 19*b95*b564 + 151*b95*b566 + 95*b95*b569 + 251*b95*b570 + 151*
     b95*b572 + 25*b95*b573 + 8*b95*b574 + 50*b95*b579 + 36*b95*b580 + 17*b95*
     b581 + 59*b95*b582 + 34*b95*b583 + 235*b95*b585 + 11*b95*b586 + 6*b95*b591
      + 3*b95*b593 + 17*b95*b594 + 5*b95*b595 + 86*b95*b598 + 13*b95*b599 + 15*
     b95*b602 + 13*b95*b603 + 21*b95*b604 + 11*b95*b605 + 14*b95*b606 + 57*b95*
     b608 + 120*b95*b609 + 31*b95*b610 + 6*b95*b611 + 11*b95*b612 + 2*b95*b618
      + 17*b96*b246 + 3*b96*b249 + 9*b96*b252 + 27*b96*b253 + 20*b96*b255 + 33*
     b96*b256 + 15*b96*b257 + 10*b96*b259 + b96*b260 + 22*b96*b262 + 45*b96*
     b263 + 31*b96*b265 + 40*b96*b268 + 14*b96*b270 + 29*b96*b272 + 46*b96*b273
      + 10*b96*b275 + 3*b96*b276 + 2*b96*b277 + 46*b96*b280 + b96*b282 + 18*b96
     *b283 + 31*b96*b285 + 13*b96*b287 + 14*b96*b289 + 4*b96*b291 + 8*b96*b293
      + 61*b96*b294 + 3*b96*b295 + 15*b96*b297 + 32*b96*b298 + 92*b96*b300 + 29
     *b96*b301 + 33*b96*b302 + 106*b96*b304 + 152*b96*b309 + 27*b96*b512 + 33*
     b96*b514 + 45*b96*b516 + 14*b96*b518 + 29*b96*b519 + 46*b96*b520 + 3*b96*
     b522 + 2*b96*b523 + b96*b526 + 18*b96*b527 + 31*b96*b529 + 13*b96*b531 + 8
     *b96*b533 + 3*b96*b534 + 15*b96*b536 + 15*b96*b538 + 48*b96*b539 + 54*b96*
     b541 + 26*b96*b542 + 28*b96*b545 + 18*b96*b550 + 45*b96*b551 + 16*b96*b556
      + 21*b96*b560 + 3*b96*b562 + 20*b96*b564 + 92*b96*b565 + 33*b96*b566 + 
     106*b96*b567 + 152*b96*b570 + 17*b96*b572 + 3*b96*b573 + 15*b96*b574 + 10*
     b96*b575 + 10*b96*b578 + 4*b96*b580 + 61*b96*b582 + 32*b96*b583 + 29*b96*
     b584 + 6*b96*b589 + 28*b96*b590 + 50*b96*b591 + 18*b96*b592 + 108*b96*b593
      + 18*b96*b595 + 26*b96*b596 + 4*b96*b598 + 31*b96*b599 + 40*b96*b600 + 46
     *b96*b601 + 20*b96*b606 + b96*b611 + 22*b96*b612 + 14*b96*b614 + 9*b96*
     b616 + 20*b96*b617 + 9*b97*b224 + 27*b97*b237 + 10*b97*b246 + 60*b97*b254
      + 15*b97*b255 + 39*b97*b256 + 6*b97*b259 + 34*b97*b263 + 13*b97*b267 + 30
     *b97*b268 + 19*b97*b270 + 10*b97*b277 + 13*b97*b281 + 22*b97*b282 + 42*b97
     *b283 + 20*b97*b291 + 17*b97*b294 + 47*b97*b295 + 26*b97*b297 + 75*b97*
     b300 + 160*b97*b302 + 69*b97*b306 + 175*b97*b307 + 194*b97*b309 + 5*b97*
     b512 + 10*b97*b517 + b97*b519 + 27*b97*b520 + 17*b97*b521 + 60*b97*b522 + 
     59*b97*b528 + 6*b97*b529 + 41*b97*b530 + 33*b97*b531 + 121*b97*b532 + 24*
     b97*b533 + 66*b97*b535 + 4*b97*b537 + 73*b97*b538 + 9*b97*b540 + 61*b97*
     b541 + 59*b97*b544 + 26*b97*b545 + 10*b97*b548 + 25*b97*b553 + 80*b97*b554
      + 38*b97*b555 + 11*b97*b556 + 23*b97*b559 + 162*b97*b561 + 91*b97*b563 + 
     125*b97*b567 + 198*b97*b569 + 22*b97*b573 + 13*b97*b574 + 13*b97*b576 + 20
     *b97*b577 + 9*b97*b578 + 6*b97*b579 + 58*b97*b581 + 39*b97*b583 + 37*b97*
     b584 + 40*b97*b585 + 9*b97*b590 + 41*b97*b593 + b97*b595 + 14*b97*b597 + 4
     *b97*b598 + 33*b97*b599 + 28*b97*b601 + 27*b97*b602 + 8*b97*b603 + 12*b97*
     b604 + 79*b97*b605 + 100*b97*b609 + 11*b97*b611 + 15*b97*b612 + 9*b97*b614
      + 22*b97*b615 + 43*b97*b616 + 36*b97*b618 + 120*b98*b237 + 13*b98*b246 + 
     38*b98*b253 + 17*b98*b254 + 11*b98*b255 + 39*b98*b256 + 7*b98*b260 + 80*
     b98*b261 + 17*b98*b262 + 36*b98*b269 + 36*b98*b270 + 54*b98*b272 + 64*b98*
     b273 + 18*b98*b275 + 8*b98*b278 + 76*b98*b280 + 38*b98*b281 + 57*b98*b284
      + 7*b98*b291 + 12*b98*b292 + 19*b98*b295 + 20*b98*b296 + 35*b98*b297 + 
     201*b98*b298 + 54*b98*b300 + 233*b98*b303 + 181*b98*b304 + 422*b98*b305 + 
     2*b98*b516 + 58*b98*b517 + 200*b98*b521 + 83*b98*b522 + 47*b98*b523 + 53*
     b98*b526 + 2*b98*b527 + 35*b98*b529 + 7*b98*b530 + 9*b98*b531 + 27*b98*
     b532 + 62*b98*b533 + 37*b98*b537 + 69*b98*b538 + 4*b98*b541 + 77*b98*b543
      + 82*b98*b544 + 18*b98*b546 + 12*b98*b556 + 30*b98*b560 + 4*b98*b564 + 
     126*b98*b566 + 223*b98*b568 + 75*b98*b569 + 21*b98*b570 + 19*b98*b571 + 34
     *b98*b573 + 15*b98*b574 + 7*b98*b575 + 3*b98*b576 + 31*b98*b579 + 2*b98*
     b582 + 61*b98*b584 + 4*b98*b586 + 17*b98*b587 + 51*b98*b590 + 7*b98*b592
      + 8*b98*b593 + 17*b98*b594 + 4*b98*b597 + 57*b98*b599 + 17*b98*b600 + 14*
     b98*b602 + 21*b98*b607 + 292*b98*b610 + 32*b98*b613 + 44*b98*b614 + 20*b98
     *b616 + 17*b98*b618 + 6*b99*b246 + 62*b99*b249 + 169*b99*b252 + 68*b99*
     b254 + 16*b99*b261 + 42*b99*b264 + 31*b99*b265 + 7*b99*b267 + 2*b99*b270
      + 22*b99*b272 + 28*b99*b273 + 46*b99*b274 + 16*b99*b276 + 12*b99*b278 + 7
     *b99*b280 + 42*b99*b289 + 213*b99*b292 + 85*b99*b293 + 23*b99*b295 + 18*
     b99*b296 + b99*b297 + 12*b99*b299 + 115*b99*b300 + 188*b99*b302 + 112*b99*
     b303 + 98*b99*b307 + 317*b99*b309 + 16*b99*b511 + 53*b99*b512 + 17*b99*
     b514 + 73*b99*b516 + 9*b99*b523 + 3*b99*b525 + 10*b99*b526 + 13*b99*b527
      + 2*b99*b528 + 42*b99*b529 + 103*b99*b530 + 21*b99*b531 + 11*b99*b532 + 
     19*b99*b538 + 26*b99*b539 + 35*b99*b545 + 38*b99*b551 + 65*b99*b554 + 52*
     b99*b558 + 21*b99*b561 + 29*b99*b562 + 9*b99*b564 + 146*b99*b567 + 132*b99
     *b569 + 12*b99*b571 + 78*b99*b577 + 53*b99*b578 + 12*b99*b580 + 6*b99*b582
      + 18*b99*b583 + 104*b99*b584 + 47*b99*b585 + 24*b99*b586 + 17*b99*b587 + 
     64*b99*b588 + 16*b99*b592 + 25*b99*b593 + b99*b595 + 16*b99*b597 + 24*b99*
     b600 + 27*b99*b603 + 10*b99*b604 + 49*b99*b606 + 89*b99*b608 + 143*b99*
     b610 + 39*b99*b611 + 8*b99*b612 + b99*b615 + 23*b99*b617 + 38*b99*b618 + 
     74*b100*b237 + 4*b100*b254 + 11*b100*b259 + 69*b100*b261 + 24*b100*b264 + 
     143*b100*b265 + 3*b100*b267 + 85*b100*b268 + 24*b100*b270 + 37*b100*b272
      + 12*b100*b277 + 50*b100*b280 + 20*b100*b283 + 107*b100*b285 + 31*b100*
     b286 + 3*b100*b287 + 4*b100*b288 + 126*b100*b290 + 41*b100*b291 + 5*b100*
     b292 + 45*b100*b295 + 24*b100*b296 + 24*b100*b297 + 80*b100*b298 + 56*b100
     *b301 + 241*b100*b304 + 119*b100*b306 + 41*b100*b308 + 12*b100*b309 + 74*
     b100*b511 + 4*b100*b513 + 69*b100*b515 + 24*b100*b517 + 24*b100*b518 + 37*
     b100*b519 + 12*b100*b523 + 20*b100*b527 + 107*b100*b529 + 31*b100*b530 + 3
     *b100*b531 + 4*b100*b532 + 45*b100*b534 + 24*b100*b535 + 24*b100*b536 + 10
     *b100*b538 + 13*b100*b539 + 20*b100*b542 + 18*b100*b543 + 20*b100*b544 + 
     44*b100*b545 + 73*b100*b548 + 23*b100*b550 + 7*b100*b553 + b100*b557 + 46*
     b100*b559 + 22*b100*b560 + 29*b100*b561 + 35*b100*b564 + 241*b100*b567 + 
     41*b100*b569 + 12*b100*b570 + 11*b100*b575 + 41*b100*b580 + 5*b100*b581 + 
     80*b100*b583 + 56*b100*b584 + 17*b100*b586 + 41*b100*b588 + 21*b100*b590
      + 48*b100*b591 + 33*b100*b592 + 25*b100*b596 + 14*b100*b597 + 13*b100*
     b598 + 143*b100*b599 + 85*b100*b600 + 50*b100*b601 + 126*b100*b602 + 29*
     b100*b603 + 19*b100*b606 + 27*b100*b608 + 119*b100*b610 + 3*b100*b613 + 11
     *b100*b615 + 2*b101*b252 + 84*b101*b256 + 9*b101*b266 + 8*b101*b267 + 154*
     b101*b268 + 15*b101*b271 + 14*b101*b275 + 8*b101*b280 + 2*b101*b283 + 98*
     b101*b285 + 3*b101*b292 + 18*b101*b295 + 4*b101*b296 + 8*b101*b297 + 6*
     b101*b301 + 6*b101*b304 + 5*b101*b305 + 28*b101*b306 + 2*b101*b307 + 14*
     b101*b511 + 36*b101*b512 + 3*b101*b513 + 27*b101*b515 + 8*b101*b516 + 76*
     b101*b517 + 32*b101*b519 + 46*b101*b520 + 5*b101*b521 + 18*b101*b522 + 2*
     b101*b523 + 22*b101*b524 + 41*b101*b525 + 31*b101*b526 + 6*b101*b528 + 21*
     b101*b530 + 14*b101*b531 + 17*b101*b532 + 14*b101*b533 + 22*b101*b537 + 87
     *b101*b540 + 9*b101*b541 + 3*b101*b545 + 79*b101*b546 + 8*b101*b553 + 40*
     b101*b554 + 38*b101*b558 + 21*b101*b559 + 7*b101*b561 + 4*b101*b565 + 2*
     b101*b566 + 4*b101*b569 + 17*b101*b570 + 18*b101*b571 + 51*b101*b573 + 95*
     b101*b574 + 4*b101*b575 + 13*b101*b577 + 20*b101*b579 + 31*b101*b580 + 34*
     b101*b582 + 21*b101*b583 + 12*b101*b587 + b101*b591 + 13*b101*b593 + 37*
     b101*b595 + 4*b101*b596 + 4*b101*b597 + 9*b101*b599 + 34*b101*b602 + 8*
     b101*b607 + 2*b101*b608 + 13*b101*b609 + 28*b101*b611 + 52*b101*b612 + 29*
     b101*b614 + 22*b101*b617 + 109*b102*b255 + 22*b102*b256 + 16*b102*b261 + 
     13*b102*b265 + 8*b102*b266 + b102*b267 + 22*b102*b269 + 25*b102*b272 + 24*
     b102*b273 + 78*b102*b277 + 12*b102*b281 + 156*b102*b282 + 15*b102*b283 + 
     41*b102*b285 + 31*b102*b286 + 32*b102*b288 + 28*b102*b290 + 67*b102*b291
      + 155*b102*b293 + 13*b102*b295 + 50*b102*b296 + 25*b102*b298 + 241*b102*
     b301 + 166*b102*b303 + 105*b102*b304 + 20*b102*b307 + 137*b102*b308 + 7*
     b102*b512 + 118*b102*b513 + 38*b102*b516 + 15*b102*b517 + b102*b518 + 31*
     b102*b522 + 135*b102*b524 + 2*b102*b528 + 61*b102*b531 + 15*b102*b536 + 36
     *b102*b537 + 34*b102*b540 + 18*b102*b541 + 86*b102*b544 + 8*b102*b546 + 7*
     b102*b548 + 12*b102*b552 + 18*b102*b556 + 15*b102*b557 + 151*b102*b565 + 
     50*b102*b566 + 320*b102*b570 + 9*b102*b571 + 55*b102*b572 + 22*b102*b573
      + 19*b102*b574 + 7*b102*b575 + 85*b102*b578 + 20*b102*b579 + 136*b102*
     b581 + 14*b102*b585 + 9*b102*b586 + 140*b102*b587 + 3*b102*b589 + 29*b102*
     b590 + 52*b102*b592 + 31*b102*b593 + 46*b102*b596 + 36*b102*b598 + 55*b102
     *b600 + 9*b102*b601 + 10*b102*b603 + 17*b102*b606 + 51*b102*b608 + 12*b102
     *b610 + 96*b102*b611 + 5*b102*b612 + 15*b102*b616 + 3*b102*b618 + 16*b103*
     b246 + 25*b103*b249 + 78*b103*b252 + 85*b103*b253 + 22*b103*b257 + 143*
     b103*b260 + 22*b103*b261 + 151*b103*b263 + 26*b103*b264 + 27*b103*b265 + 
     12*b103*b266 + 47*b103*b267 + 21*b103*b269 + 2*b103*b274 + 32*b103*b275 + 
     11*b103*b276 + 20*b103*b277 + 29*b103*b279 + 24*b103*b280 + 19*b103*b283
      + 39*b103*b284 + 46*b103*b285 + 9*b103*b286 + 10*b103*b290 + 35*b103*b291
      + 42*b103*b292 + 39*b103*b295 + 17*b103*b298 + 233*b103*b303 + 44*b103*
     b304 + 78*b103*b307 + 120*b103*b308 + 20*b103*b511 + 42*b103*b513 + 22*
     b103*b514 + 48*b103*b518 + 40*b103*b519 + 6*b103*b520 + 39*b103*b524 + 4*
     b103*b525 + 36*b103*b526 + 14*b103*b531 + 109*b103*b532 + 17*b103*b535 + 
     30*b103*b536 + 38*b103*b537 + 57*b103*b538 + 37*b103*b541 + 38*b103*b545
      + b103*b546 + 45*b103*b547 + 29*b103*b548 + 3*b103*b550 + 11*b103*b551 + 
     10*b103*b552 + 13*b103*b555 + 41*b103*b556 + 11*b103*b557 + 179*b103*b560
      + 61*b103*b563 + 72*b103*b564 + 117*b103*b565 + 255*b103*b566 + 172*b103*
     b570 + 14*b103*b571 + 44*b103*b575 + 13*b103*b582 + 70*b103*b584 + 126*
     b103*b585 + 29*b103*b591 + 12*b103*b592 + 38*b103*b593 + 15*b103*b596 + 33
     *b103*b597 + 40*b103*b598 + 34*b103*b600 + 34*b103*b603 + b103*b605 + 25*
     b103*b606 + 107*b103*b610 + 19*b103*b612 + 4*b103*b614 + 18*b103*b615 + 54
     *b103*b617 + 16*b103*b618 + b104*b237 + 8*b104*b249 + 60*b104*b254 + 15*
     b104*b256 + 44*b104*b260 + 30*b104*b261 + 6*b104*b262 + 21*b104*b264 + 35*
     b104*b265 + 56*b104*b267 + 32*b104*b269 + 10*b104*b271 + 49*b104*b274 + 63
     *b104*b275 + 21*b104*b276 + 25*b104*b277 + 37*b104*b278 + 5*b104*b279 + 10
     *b104*b280 + 3*b104*b281 + 114*b104*b282 + 33*b104*b284 + 47*b104*b286 + 3
     *b104*b289 + 45*b104*b290 + 20*b104*b291 + 28*b104*b292 + 16*b104*b295 + 
     20*b104*b296 + 20*b104*b298 + 281*b104*b306 + b104*b512 + 17*b104*b516 + 8
     *b104*b518 + 26*b104*b519 + 8*b104*b520 + 24*b104*b529 + 49*b104*b531 + 16
     *b104*b532 + 184*b104*b533 + 33*b104*b536 + b104*b538 + 21*b104*b539 + 41*
     b104*b541 + 64*b104*b544 + 8*b104*b545 + 51*b104*b547 + 42*b104*b548 + 5*
     b104*b550 + 20*b104*b554 + 7*b104*b556 + 45*b104*b558 + 6*b104*b559 + 17*
     b104*b560 + 50*b104*b561 + 71*b104*b563 + 23*b104*b564 + 232*b104*b565 + 
     236*b104*b566 + 50*b104*b567 + 93*b104*b568 + 189*b104*b569 + 78*b104*b570
      + 12*b104*b571 + 11*b104*b572 + 31*b104*b574 + 3*b104*b575 + 12*b104*b576
      + 65*b104*b582 + 50*b104*b584 + 113*b104*b585 + 33*b104*b586 + 17*b104*
     b591 + 5*b104*b593 + 15*b104*b595 + 23*b104*b600 + 29*b104*b603 + 10*b104*
     b604 + 255*b104*b609 + 84*b104*b616 + 59*b104*b617 + 6*b105*b237 + 45*b105
     *b246 + 24*b105*b249 + 44*b105*b265 + 33*b105*b267 + 38*b105*b268 + 35*
     b105*b269 + 13*b105*b271 + 2*b105*b272 + 29*b105*b273 + 6*b105*b275 + 22*
     b105*b280 + 26*b105*b282 + 5*b105*b283 + 17*b105*b284 + 19*b105*b285 + 53*
     b105*b288 + 24*b105*b289 + 13*b105*b290 + 4*b105*b291 + 6*b105*b293 + 10*
     b105*b294 + b105*b296 + 9*b105*b298 + 91*b105*b303 + 24*b105*b512 + 3*b105
     *b513 + 61*b105*b514 + 51*b105*b516 + 120*b105*b517 + 22*b105*b518 + 45*
     b105*b521 + 19*b105*b522 + 13*b105*b523 + 28*b105*b524 + 6*b105*b530 + 78*
     b105*b531 + 58*b105*b534 + 2*b105*b536 + 40*b105*b537 + 50*b105*b540 + 21*
     b105*b541 + 9*b105*b544 + 106*b105*b546 + 34*b105*b547 + 101*b105*b548 + 
     107*b105*b550 + 21*b105*b551 + 36*b105*b552 + 131*b105*b554 + 33*b105*b556
      + 2*b105*b557 + 101*b105*b558 + 100*b105*b559 + 2*b105*b562 + 52*b105*
     b565 + 122*b105*b566 + 316*b105*b567 + 112*b105*b568 + 10*b105*b569 + 93*
     b105*b570 + 14*b105*b571 + 57*b105*b574 + 5*b105*b575 + 40*b105*b576 + 5*
     b105*b581 + 92*b105*b584 + 79*b105*b585 + b105*b587 + 10*b105*b588 + 18*
     b105*b589 + 90*b105*b590 + 47*b105*b592 + 86*b105*b595 + 7*b105*b607 + 31*
     b105*b608 + 60*b105*b610 + 53*b105*b611 + 96*b105*b612 + 39*b105*b616 + 5*
     b105*b617 + 82*b106*b224 + 6*b106*b237 + 11*b106*b249 + 79*b106*b253 + 75*
     b106*b256 + 37*b106*b257 + 55*b106*b259 + 66*b106*b261 + 28*b106*b262 + 45
     *b106*b263 + 35*b106*b264 + 23*b106*b266 + 61*b106*b268 + 8*b106*b269 + 12
     *b106*b271 + 3*b106*b272 + 56*b106*b277 + 40*b106*b280 + 28*b106*b282 + 10
     *b106*b284 + 36*b106*b285 + 75*b106*b287 + 76*b106*b289 + 15*b106*b290 + 
     25*b106*b295 + 27*b106*b296 + 20*b106*b299 + 74*b106*b300 + 27*b106*b302
      + 69*b106*b305 + 35*b106*b513 + 58*b106*b518 + 21*b106*b520 + 14*b106*
     b521 + 46*b106*b522 + 13*b106*b524 + 16*b106*b525 + 74*b106*b527 + 24*b106
     *b530 + 41*b106*b532 + 32*b106*b533 + 8*b106*b536 + 38*b106*b538 + 43*b106
     *b539 + 48*b106*b544 + 45*b106*b545 + 34*b106*b547 + 39*b106*b548 + 10*
     b106*b551 + 49*b106*b553 + 5*b106*b555 + 61*b106*b556 + 8*b106*b558 + 25*
     b106*b559 + 37*b106*b560 + 5*b106*b561 + 188*b106*b567 + 15*b106*b568 + 
     144*b106*b569 + 19*b106*b570 + 12*b106*b572 + 19*b106*b578 + 19*b106*b579
      + 13*b106*b580 + 28*b106*b581 + 24*b106*b582 + 65*b106*b583 + 143*b106*
     b584 + 113*b106*b586 + 54*b106*b591 + 27*b106*b592 + 33*b106*b593 + 8*b106
     *b594 + 15*b106*b595 + 4*b106*b596 + 23*b106*b599 + 13*b106*b603 + 114*
     b106*b604 + 14*b106*b605 + 12*b106*b606 + 6*b106*b608 + 102*b106*b609 + 28
     *b106*b610 + 84*b106*b613 + 2*b106*b616 + 3*b106*b617 + 8*b107*b246 + b107
     *b252 + 18*b107*b264 + 10*b107*b265 + 4*b107*b268 + 13*b107*b270 + 11*b107
     *b271 + 15*b107*b276 + 2*b107*b277 + 2*b107*b281 + 31*b107*b284 + 12*b107*
     b287 + 11*b107*b288 + 21*b107*b289 + 6*b107*b290 + 25*b107*b291 + 17*b107*
     b296 + 9*b107*b300 + 13*b107*b301 + 8*b107*b302 + 9*b107*b303 + 6*b107*
     b308 + 36*b107*b511 + 2*b107*b512 + 23*b107*b513 + 29*b107*b514 + 30*b107*
     b515 + 10*b107*b516 + 24*b107*b519 + 27*b107*b520 + 52*b107*b521 + 15*b107
     *b524 + 18*b107*b526 + b107*b527 + 18*b107*b529 + 34*b107*b530 + 2*b107*
     b534 + 19*b107*b536 + 51*b107*b537 + 20*b107*b543 + 12*b107*b547 + 26*b107
     *b553 + 18*b107*b556 + 24*b107*b558 + 5*b107*b559 + 17*b107*b567 + 4*b107*
     b568 + 7*b107*b571 + 66*b107*b573 + 16*b107*b574 + 43*b107*b575 + 30*b107*
     b576 + 46*b107*b577 + 2*b107*b578 + 48*b107*b579 + 31*b107*b581 + 40*b107*
     b582 + 21*b107*b583 + 3*b107*b585 + 6*b107*b586 + 13*b107*b588 + 22*b107*
     b590 + 14*b107*b595 + 3*b107*b596 + 22*b107*b598 + 7*b107*b601 + 19*b107*
     b605 + 3*b107*b607 + 6*b107*b608 + 7*b107*b610 + 36*b107*b611 + 24*b107*
     b612 + 45*b107*b613 + 23*b107*b617 + 13*b108*b246 + b108*b249 + 15*b108*
     b252 + 23*b108*b253 + 45*b108*b254 + 20*b108*b256 + 13*b108*b260 + 14*b108
     *b261 + 26*b108*b263 + 77*b108*b264 + 35*b108*b265 + 46*b108*b266 + 9*b108
     *b268 + 12*b108*b269 + 129*b108*b271 + 54*b108*b273 + 7*b108*b274 + 2*b108
     *b277 + 17*b108*b281 + 62*b108*b285 + 11*b108*b286 + 175*b108*b287 + 62*
     b108*b290 + 12*b108*b293 + 32*b108*b294 + 18*b108*b296 + 34*b108*b297 + 20
     *b108*b298 + 37*b108*b300 + 11*b108*b303 + 14*b108*b306 + 47*b108*b308 + 
     24*b108*b511 + 29*b108*b518 + 43*b108*b519 + 48*b108*b522 + b108*b524 + 22
     *b108*b526 + 5*b108*b527 + 32*b108*b528 + 19*b108*b532 + 30*b108*b534 + 17
     *b108*b537 + 5*b108*b539 + 6*b108*b544 + 53*b108*b550 + 7*b108*b552 + 9*
     b108*b560 + 4*b108*b562 + b108*b563 + 129*b108*b566 + 184*b108*b567 + 16*
     b108*b568 + 74*b108*b570 + 36*b108*b571 + 95*b108*b574 + 96*b108*b575 + 9*
     b108*b578 + 27*b108*b579 + 27*b108*b580 + b108*b581 + 106*b108*b584 + 86*
     b108*b585 + 9*b108*b586 + 22*b108*b587 + 35*b108*b588 + 33*b108*b593 + 5*
     b108*b601 + 14*b108*b604 + 5*b108*b606 + 17*b108*b607 + 46*b108*b612 + 2*
     b108*b613 + 18*b108*b614 + 9*b108*b617 + 31*b109*b237 + 4*b109*b252 + 27*
     b109*b253 + 38*b109*b254 + 33*b109*b255 + 9*b109*b256 + 20*b109*b259 + 41*
     b109*b261 + b109*b263 + 13*b109*b264 + 14*b109*b271 + 2*b109*b272 + 63*
     b109*b273 + 13*b109*b275 + 33*b109*b279 + 16*b109*b281 + 10*b109*b284 + 45
     *b109*b285 + 16*b109*b289 + 61*b109*b292 + 20*b109*b293 + 23*b109*b294 + 
     41*b109*b297 + 13*b109*b299 + 31*b109*b303 + 284*b109*b305 + 178*b109*b307
      + 53*b109*b308 + 31*b109*b511 + 27*b109*b512 + 38*b109*b513 + 9*b109*b514
      + 41*b109*b515 + b109*b516 + 13*b109*b517 + 2*b109*b519 + 63*b109*b520 + 
     16*b109*b525 + 10*b109*b528 + 45*b109*b529 + 20*b109*b533 + 41*b109*b536
      + 13*b109*b537 + 12*b109*b538 + 8*b109*b539 + 9*b109*b549 + 2*b109*b550
      + 2*b109*b563 + 178*b109*b568 + 53*b109*b569 + 20*b109*b575 + 13*b109*
     b578 + 33*b109*b579 + 61*b109*b581 + 23*b109*b582 + 284*b109*b585 + 10*
     b109*b587 + 54*b109*b589 + 4*b109*b591 + 82*b109*b594 + b109*b595 + 31*
     b109*b597 + 37*b109*b606 + 11*b109*b607 + 31*b109*b609 + 16*b109*b614 + 4*
     b109*b616 + 33*b109*b617 + 14*b109*b618 + 2*b110*b254 + 8*b110*b256 + 98*
     b110*b264 + 35*b110*b266 + 36*b110*b268 + 2*b110*b270 + 18*b110*b277 + 12*
     b110*b284 + 20*b110*b285 + 6*b110*b286 + 23*b110*b287 + 43*b110*b289 + 11*
     b110*b292 + 2*b110*b293 + 3*b110*b294 + 5*b110*b297 + 4*b110*b298 + 12*
     b110*b299 + 3*b110*b300 + 32*b110*b302 + 16*b110*b305 + 53*b110*b308 + 5*
     b110*b309 + 2*b110*b513 + 8*b110*b514 + 98*b110*b517 + 2*b110*b518 + 18*
     b110*b523 + 12*b110*b528 + 20*b110*b529 + 6*b110*b530 + 23*b110*b531 + 2*
     b110*b533 + 5*b110*b536 + 12*b110*b537 + b110*b538 + 13*b110*b543 + b110*
     b550 + 16*b110*b551 + b110*b553 + 45*b110*b556 + 13*b110*b560 + 23*b110*
     b561 + 4*b110*b562 + 3*b110*b565 + 32*b110*b566 + 53*b110*b569 + 5*b110*
     b570 + 35*b110*b576 + 11*b110*b581 + 3*b110*b582 + 4*b110*b583 + 16*b110*
     b585 + b110*b587 + 6*b110*b588 + 4*b110*b589 + 25*b110*b591 + 30*b110*b593
      + 3*b110*b594 + b110*b598 + 36*b110*b600 + 103*b110*b603 + 5*b110*b604 + 
     8*b110*b605 + 5*b110*b608 + 43*b110*b614 + 7*b111*b224 + 62*b111*b246 + 44
     *b111*b252 + 3*b111*b253 + 7*b111*b257 + 18*b111*b261 + 14*b111*b264 + 40*
     b111*b268 + 24*b111*b270 + 6*b111*b271 + 73*b111*b272 + 19*b111*b274 + 50*
     b111*b275 + 50*b111*b278 + 25*b111*b279 + 49*b111*b281 + 15*b111*b284 + 12
     *b111*b290 + 81*b111*b292 + 36*b111*b293 + 8*b111*b294 + 5*b111*b295 + 30*
     b111*b296 + b111*b297 + 42*b111*b299 + 45*b111*b300 + 20*b111*b301 + 142*
     b111*b302 + 96*b111*b304 + 81*b111*b305 + 45*b111*b308 + 5*b111*b511 + 9*
     b111*b513 + 15*b111*b514 + 20*b111*b516 + 2*b111*b520 + 12*b111*b522 + 26*
     b111*b523 + 62*b111*b526 + 6*b111*b527 + 3*b111*b529 + 87*b111*b530 + 2*
     b111*b531 + 30*b111*b532 + 27*b111*b539 + 24*b111*b540 + b111*b545 + 2*
     b111*b547 + 37*b111*b548 + 9*b111*b549 + 19*b111*b553 + 14*b111*b554 + 75*
     b111*b555 + 15*b111*b556 + 28*b111*b558 + 29*b111*b559 + 6*b111*b562 + 149
     *b111*b568 + 42*b111*b570 + 23*b111*b573 + 12*b111*b575 + 11*b111*b576 + 
     12*b111*b577 + 41*b111*b583 + 26*b111*b586 + 50*b111*b587 + 44*b111*b589
      + 3*b111*b590 + 41*b111*b591 + 31*b111*b592 + 42*b111*b593 + 15*b111*b594
      + b111*b598 + 2*b111*b599 + 15*b111*b601 + 25*b111*b609 + 332*b111*b610
      + 41*b111*b611 + 3*b111*b612 + 27*b111*b613 + 10*b111*b614 + 34*b111*b615
      + 68*b111*b617 + 74*b112*b237 + 41*b112*b246 + 51*b112*b249 + 22*b112*
     b254 + 74*b112*b256 + 15*b112*b257 + 27*b112*b261 + 30*b112*b262 + 21*b112
     *b264 + 21*b112*b265 + 3*b112*b266 + 68*b112*b273 + 104*b112*b274 + 57*
     b112*b275 + 40*b112*b277 + 4*b112*b278 + 49*b112*b281 + 73*b112*b282 + 2*
     b112*b283 + 21*b112*b284 + 50*b112*b285 + 41*b112*b286 + 29*b112*b288 + 25
     *b112*b291 + b112*b292 + 11*b112*b298 + 34*b112*b299 + 68*b112*b304 + 233*
     b112*b307 + 12*b112*b512 + 31*b112*b516 + 57*b112*b518 + 34*b112*b519 + 
     105*b112*b522 + 42*b112*b531 + 62*b112*b533 + 20*b112*b534 + 35*b112*b535
      + 64*b112*b536 + 4*b112*b538 + 24*b112*b539 + 19*b112*b540 + 45*b112*b544
      + 51*b112*b545 + 15*b112*b546 + 17*b112*b547 + 74*b112*b548 + 22*b112*
     b550 + 53*b112*b551 + 33*b112*b554 + 2*b112*b555 + 10*b112*b556 + 83*b112*
     b557 + 50*b112*b558 + 27*b112*b559 + 111*b112*b561 + 18*b112*b562 + 9*b112
     *b563 + 130*b112*b565 + 44*b112*b566 + 281*b112*b569 + 130*b112*b570 + 33*
     b112*b571 + 33*b112*b575 + 6*b112*b577 + 34*b112*b579 + 45*b112*b582 + 90*
     b112*b584 + 88*b112*b585 + 36*b112*b586 + 134*b112*b589 + 18*b112*b590 + 
     59*b112*b594 + 2*b112*b598 + 40*b112*b600 + 169*b112*b601 + 30*b112*b602
      + 59*b112*b603 + 35*b112*b604 + 16*b112*b605 + 35*b112*b606 + 12*b112*
     b607 + 19*b112*b608 + 175*b112*b609 + 63*b112*b610 + 8*b112*b611 + 28*b112
     *b613 + 11*b112*b614 + 64*b112*b616 + 37*b112*b617 + 43*b112*b618 + 6*b113
     *b237 + 30*b113*b246 + 109*b113*b249 + 17*b113*b252 + 17*b113*b256 + 18*
     b113*b257 + 17*b113*b259 + 14*b113*b261 + 6*b113*b262 + 48*b113*b269 + 15*
     b113*b281 + 8*b113*b283 + 7*b113*b284 + 18*b113*b285 + 10*b113*b287 + 2*
     b113*b288 + 8*b113*b291 + 55*b113*b292 + 4*b113*b294 + 5*b113*b296 + 16*
     b113*b297 + 13*b113*b298 + 36*b113*b299 + 25*b113*b300 + 211*b113*b301 + 
     26*b113*b302 + 116*b113*b303 + 35*b113*b304 + 9*b113*b307 + 123*b113*b308
      + 5*b113*b512 + 6*b113*b513 + 24*b113*b516 + 26*b113*b517 + 3*b113*b518
      + 38*b113*b519 + 15*b113*b520 + 27*b113*b521 + 2*b113*b523 + 51*b113*b524
      + 37*b113*b526 + 37*b113*b530 + 35*b113*b533 + 7*b113*b534 + 22*b113*b540
      + 2*b113*b541 + 9*b113*b542 + 104*b113*b544 + 11*b113*b547 + 8*b113*b552
      + 39*b113*b553 + 26*b113*b560 + 4*b113*b561 + 26*b113*b564 + 126*b113*
     b570 + 5*b113*b571 + 20*b113*b576 + 39*b113*b579 + 24*b113*b585 + 11*b113*
     b586 + 8*b113*b588 + 10*b113*b591 + 47*b113*b592 + 10*b113*b593 + 13*b113*
     b594 + 3*b113*b595 + 31*b113*b596 + 2*b113*b597 + 59*b113*b598 + 40*b113*
     b599 + 135*b113*b600 + 20*b113*b601 + 8*b113*b602 + 25*b113*b605 + 99*b113
     *b606 + 129*b113*b607 + 13*b113*b610 + 12*b113*b611 + 2*b113*b613 + 31*
     b113*b614 + 59*b113*b615 + 3*b113*b617 + 13*b113*b618 + 49*b114*b224 + 6*
     b114*b246 + 5*b114*b249 + 24*b114*b252 + 26*b114*b253 + 3*b114*b254 + 16*
     b114*b255 + 15*b114*b256 + 29*b114*b260 + 2*b114*b263 + 16*b114*b265 + 16*
     b114*b267 + 110*b114*b270 + 35*b114*b271 + 9*b114*b273 + 13*b114*b275 + 11
     *b114*b279 + 22*b114*b280 + 3*b114*b283 + 6*b114*b286 + 34*b114*b292 + 5*
     b114*b293 + 60*b114*b295 + 43*b114*b296 + 8*b114*b299 + 15*b114*b300 + 39*
     b114*b301 + 73*b114*b303 + 26*b114*b304 + 211*b114*b305 + 65*b114*b306 + 
     b114*b308 + 46*b114*b511 + 58*b114*b515 + 89*b114*b517 + 13*b114*b519 + 9*
     b114*b521 + 48*b114*b522 + 15*b114*b523 + 28*b114*b524 + 12*b114*b525 + 27
     *b114*b526 + 21*b114*b528 + 31*b114*b529 + 12*b114*b531 + 37*b114*b532 + 2
     *b114*b536 + 19*b114*b540 + 34*b114*b541 + 40*b114*b542 + 3*b114*b544 + 91
     *b114*b546 + 56*b114*b548 + 28*b114*b549 + 24*b114*b550 + 26*b114*b551 + 
     148*b114*b552 + 11*b114*b553 + 26*b114*b556 + 9*b114*b557 + 3*b114*b560 + 
     39*b114*b561 + b114*b563 + 177*b114*b566 + 183*b114*b568 + 64*b114*b570 + 
     120*b114*b574 + 48*b114*b575 + b114*b577 + 13*b114*b580 + 4*b114*b582 + 52
     *b114*b583 + 83*b114*b586 + 20*b114*b587 + 15*b114*b588 + 11*b114*b589 + 
     53*b114*b590 + 28*b114*b591 + 19*b114*b592 + 4*b114*b593 + 4*b114*b596 + 
     27*b114*b600 + 21*b114*b602 + 78*b114*b603 + 24*b114*b607 + 102*b114*b612
      + 126*b114*b614 + 14*b114*b615 + 8*b115*b224 + 32*b115*b246 + 37*b115*
     b249 + 7*b115*b256 + 16*b115*b262 + b115*b264 + 108*b115*b265 + 87*b115*
     b266 + 30*b115*b267 + 74*b115*b270 + 37*b115*b272 + 22*b115*b275 + 66*b115
     *b276 + 31*b115*b278 + 3*b115*b282 + 46*b115*b284 + 14*b115*b285 + 5*b115*
     b286 + 122*b115*b287 + 14*b115*b288 + 167*b115*b290 + 25*b115*b291 + 23*
     b115*b292 + 31*b115*b296 + 24*b115*b298 + 40*b115*b302 + 264*b115*b305 + 
     259*b115*b306 + 128*b115*b307 + 66*b115*b511 + 44*b115*b512 + 28*b115*b513
      + 139*b115*b515 + 10*b115*b516 + 20*b115*b520 + 63*b115*b521 + 84*b115*
     b523 + 152*b115*b525 + 9*b115*b527 + 87*b115*b534 + 23*b115*b536 + 6*b115*
     b537 + 23*b115*b540 + 8*b115*b542 + 6*b115*b543 + 39*b115*b546 + 54*b115*
     b547 + 79*b115*b548 + 80*b115*b549 + 10*b115*b556 + 47*b115*b559 + 5*b115*
     b561 + 29*b115*b562 + 17*b115*b565 + 101*b115*b567 + 91*b115*b569 + 116*
     b115*b570 + 15*b115*b574 + 21*b115*b575 + 10*b115*b577 + 16*b115*b579 + 37
     *b115*b582 + 127*b115*b584 + 35*b115*b586 + 46*b115*b589 + 19*b115*b590 + 
     22*b115*b592 + 22*b115*b594 + 6*b115*b597 + 17*b115*b600 + 23*b115*b601 + 
     54*b115*b605 + 14*b115*b606 + 67*b115*b607 + 20*b115*b608 + 160*b115*b609
      + 6*b115*b611 + 5*b115*b614 + 23*b115*b616 + 27*b115*b617 + 10*b115*b618
      + 36*b116*b249 + 102*b116*b254 + 2*b116*b256 + 9*b116*b259 + 40*b116*b261
      + 22*b116*b264 + 7*b116*b265 + 40*b116*b267 + 32*b116*b268 + 29*b116*b274
      + 9*b116*b280 + 11*b116*b281 + 25*b116*b284 + 33*b116*b285 + 45*b116*b290
      + 21*b116*b291 + 27*b116*b292 + 17*b116*b297 + 17*b116*b298 + 2*b116*b299
      + 12*b116*b300 + 211*b116*b303 + 236*b116*b307 + 60*b116*b308 + 19*b116*
     b511 + 77*b116*b512 + 150*b116*b516 + 118*b116*b518 + 48*b116*b519 + 4*
     b116*b520 + 32*b116*b522 + 37*b116*b523 + 27*b116*b524 + 15*b116*b526 + 88
     *b116*b527 + 26*b116*b530 + 49*b116*b531 + 72*b116*b532 + 76*b116*b533 + 
     68*b116*b534 + b116*b535 + 11*b116*b540 + 10*b116*b541 + 16*b116*b542 + 44
     *b116*b548 + 28*b116*b551 + 68*b116*b552 + 9*b116*b553 + 23*b116*b555 + 16
     *b116*b556 + 75*b116*b558 + 12*b116*b559 + 28*b116*b561 + 46*b116*b562 + 
     38*b116*b563 + 63*b116*b566 + 109*b116*b567 + 220*b116*b570 + 13*b116*b571
      + 3*b116*b572 + b116*b574 + 33*b116*b576 + 41*b116*b577 + b116*b578 + 57*
     b116*b582 + 27*b116*b584 + 91*b116*b585 + 83*b116*b586 + 64*b116*b588 + 28
     *b116*b589 + 27*b116*b592 + 39*b116*b595 + 12*b116*b596 + 17*b116*b597 + 
     41*b116*b603 + 40*b116*b608 + 169*b116*b610 + 68*b116*b611 + 19*b116*b612
      + 10*b116*b614 + 39*b116*b615 + 36*b116*b616 + 58*b116*b617 + 11*b116*
     b618 + 43*b117*b246 + 14*b117*b257 + 24*b117*b263 + 3*b117*b266 + 16*b117*
     b268 + 26*b117*b269 + 94*b117*b280 + 17*b117*b283 + 60*b117*b284 + 6*b117*
     b285 + 5*b117*b286 + 20*b117*b288 + 16*b117*b289 + 2*b117*b290 + 4*b117*
     b292 + 127*b117*b293 + 14*b117*b296 + 43*b117*b297 + 15*b117*b300 + 138*
     b117*b304 + 69*b117*b307 + 19*b117*b309 + 20*b117*b511 + 19*b117*b512 + 6*
     b117*b513 + 19*b117*b514 + 51*b117*b515 + 5*b117*b517 + 12*b117*b518 + 39*
     b117*b519 + b117*b520 + 55*b117*b521 + 30*b117*b522 + 38*b117*b523 + 92*
     b117*b524 + 5*b117*b525 + 6*b117*b526 + 15*b117*b531 + 37*b117*b534 + 8*
     b117*b537 + 46*b117*b538 + 58*b117*b539 + 51*b117*b542 + 3*b117*b543 + 14*
     b117*b547 + 40*b117*b548 + 20*b117*b549 + 10*b117*b552 + 144*b117*b553 + 
     11*b117*b554 + 42*b117*b558 + 31*b117*b560 + 19*b117*b564 + 176*b117*b566
      + 108*b117*b569 + 9*b117*b571 + 37*b117*b573 + 21*b117*b575 + 133*b117*
     b578 + 7*b117*b579 + 39*b117*b580 + 9*b117*b582 + 123*b117*b583 + 153*b117
     *b584 + 147*b117*b585 + 34*b117*b586 + 4*b117*b587 + 28*b117*b588 + 5*b117
     *b591 + 143*b117*b592 + 35*b117*b593 + 16*b117*b594 + 6*b117*b597 + 8*b117
     *b599 + 31*b117*b604 + 176*b117*b609 + 152*b117*b610 + 46*b117*b611 + 4*
     b117*b612 + 3*b117*b613 + 100*b117*b615 + 50*b117*b616 + 49*b117*b617 + 18
     *b117*b618 + 114*b118*b224 + 36*b118*b249 + 48*b118*b254 + 6*b118*b255 + 
     55*b118*b256 + 5*b118*b257 + 9*b118*b259 + 34*b118*b260 + 9*b118*b266 + 64
     *b118*b267 + 95*b118*b270 + 121*b118*b271 + 28*b118*b274 + 18*b118*b275 + 
     31*b118*b276 + 4*b118*b277 + 16*b118*b280 + 67*b118*b283 + 29*b118*b286 + 
     10*b118*b288 + 22*b118*b290 + 37*b118*b291 + 109*b118*b295 + 164*b118*b296
      + 19*b118*b297 + 45*b118*b298 + 15*b118*b299 + 19*b118*b300 + 152*b118*
     b301 + 55*b118*b302 + 203*b118*b304 + 102*b118*b305 + 341*b118*b306 + 317*
     b118*b308 + 73*b118*b309 + 30*b118*b511 + 35*b118*b512 + 88*b118*b515 + 53
     *b118*b516 + 102*b118*b517 + 13*b118*b519 + 72*b118*b520 + 2*b118*b524 + 
     13*b118*b525 + 7*b118*b526 + 23*b118*b528 + 21*b118*b529 + 13*b118*b531 + 
     16*b118*b533 + 7*b118*b542 + 9*b118*b543 + 69*b118*b545 + 93*b118*b549 + 
     12*b118*b550 + 58*b118*b552 + 105*b118*b556 + b118*b557 + 144*b118*b561 + 
     30*b118*b563 + 96*b118*b568 + 20*b118*b572 + 45*b118*b577 + 33*b118*b579
      + 5*b118*b581 + 15*b118*b582 + 35*b118*b588 + 56*b118*b591 + 35*b118*b595
      + 41*b118*b596 + 46*b118*b597 + 44*b118*b599 + 37*b118*b600 + 27*b118*
     b606 + 51*b118*b609 + 55*b118*b612 + 182*b118*b614 + 25*b118*b615 + 13*
     b118*b616 + 6*b119*b224 + 28*b119*b237 + 15*b119*b246 + 35*b119*b249 + 11*
     b119*b256 + 36*b119*b259 + 7*b119*b261 + 11*b119*b262 + 18*b119*b266 + 28*
     b119*b267 + 20*b119*b269 + 4*b119*b272 + 7*b119*b273 + 14*b119*b274 + 23*
     b119*b277 + 27*b119*b279 + 9*b119*b283 + 2*b119*b284 + 17*b119*b285 + 41*
     b119*b286 + 8*b119*b291 + 33*b119*b294 + b119*b295 + 66*b119*b299 + 10*
     b119*b303 + 4*b119*b305 + 18*b119*b306 + 21*b119*b307 + 3*b119*b309 + 27*
     b119*b512 + 9*b119*b513 + b119*b516 + 2*b119*b517 + 27*b119*b518 + 23*b119
     *b522 + 6*b119*b524 + 21*b119*b525 + 2*b119*b526 + 19*b119*b531 + 25*b119*
     b532 + 21*b119*b533 + 5*b119*b535 + 9*b119*b536 + 3*b119*b538 + 37*b119*
     b539 + 48*b119*b541 + 2*b119*b548 + 9*b119*b550 + 55*b119*b551 + 7*b119*
     b553 + 3*b119*b561 + 15*b119*b566 + 25*b119*b567 + 10*b119*b569 + 12*b119*
     b574 + 22*b119*b578 + 7*b119*b581 + 14*b119*b583 + 9*b119*b584 + 16*b119*
     b588 + 16*b119*b592 + 27*b119*b593 + 7*b119*b595 + 2*b119*b596 + 22*b119*
     b597 + 11*b119*b599 + 25*b119*b600 + 56*b119*b601 + 22*b119*b602 + 17*b119
     *b607 + 11*b119*b611 + 17*b119*b614 + 7*b119*b615 + 17*b119*b616 + 31*b119
     *b617 + 20*b119*b618 + 20*b120*b237 + 12*b120*b246 + 33*b120*b261 + 107*
     b120*b264 + 5*b120*b266 + 27*b120*b267 + b120*b270 + 132*b120*b271 + 17*
     b120*b274 + 16*b120*b275 + 15*b120*b277 + 41*b120*b281 + 22*b120*b284 + 33
     *b120*b285 + 55*b120*b287 + 4*b120*b288 + 84*b120*b289 + 68*b120*b290 + 40
     *b120*b291 + 8*b120*b293 + 15*b120*b294 + 42*b120*b296 + 32*b120*b298 + 38
     *b120*b299 + 119*b120*b300 + 96*b120*b301 + 80*b120*b302 + 12*b120*b304 + 
     51*b120*b306 + 29*b120*b307 + 257*b120*b308 + 15*b120*b513 + 80*b120*b514
      + 4*b120*b516 + 23*b120*b519 + 2*b120*b520 + 3*b120*b524 + 15*b120*b526
      + 67*b120*b527 + 2*b120*b530 + 66*b120*b534 + 16*b120*b536 + 8*b120*b541
      + 17*b120*b544 + 4*b120*b547 + 34*b120*b550 + 17*b120*b557 + 60*b120*b558
      + 22*b120*b562 + b120*b563 + 46*b120*b570 + 53*b120*b571 + 76*b120*b574
      + 110*b120*b575 + 24*b120*b577 + 42*b120*b579 + 40*b120*b581 + 76*b120*
     b585 + 10*b120*b587 + 2*b120*b593 + 25*b120*b595 + 13*b120*b596 + 20*b120*
     b597 + 42*b120*b598 + 27*b120*b599 + 19*b120*b600 + 10*b120*b601 + 54*b120
     *b604 + 9*b120*b605 + 31*b120*b607 + 30*b120*b609 + 37*b120*b611 + 41*b120
     *b612 + 12*b120*b615 + 3*b120*b616 + b120*b617 + 33*b121*b237 + 25*b121*
     b249 + 15*b121*b253 + 120*b121*b254 + 24*b121*b256 + 9*b121*b259 + 121*
     b121*b260 + 8*b121*b261 + 76*b121*b263 + 62*b121*b265 + 9*b121*b267 + 51*
     b121*b272 + 3*b121*b273 + 2*b121*b274 + 11*b121*b275 + 46*b121*b276 + 17*
     b121*b279 + 54*b121*b280 + 61*b121*b283 + 41*b121*b290 + 20*b121*b291 + 
     135*b121*b292 + 22*b121*b295 + 57*b121*b298 + 378*b121*b301 + 129*b121*
     b303 + 153*b121*b306 + 35*b121*b308 + 20*b121*b517 + 43*b121*b518 + 19*
     b121*b524 + 36*b121*b525 + 11*b121*b526 + 12*b121*b528 + 13*b121*b529 + 10
     *b121*b530 + 26*b121*b531 + 11*b121*b532 + 31*b121*b533 + 24*b121*b535 + 
     36*b121*b536 + b121*b537 + 61*b121*b538 + 27*b121*b539 + 13*b121*b541 + 53
     *b121*b542 + 13*b121*b545 + 5*b121*b546 + 52*b121*b547 + 2*b121*b550 + 19*
     b121*b551 + 23*b121*b552 + 6*b121*b555 + 37*b121*b556 + 53*b121*b557 + 29*
     b121*b559 + 52*b121*b560 + 7*b121*b561 + 29*b121*b563 + 39*b121*b564 + 154
     *b121*b565 + 115*b121*b566 + 103*b121*b567 + 116*b121*b568 + 248*b121*b570
      + 25*b121*b571 + 3*b121*b572 + 3*b121*b574 + 17*b121*b576 + 27*b121*b577
      + 26*b121*b582 + 143*b121*b585 + 8*b121*b586 + 55*b121*b588 + 73*b121*
     b591 + 39*b121*b595 + 28*b121*b596 + 13*b121*b600 + 55*b121*b603 + 41*b121
     *b612 + 10*b121*b614 + 18*b121*b615 + 67*b121*b616 + 162*b121*b617 + 8*
     b121*b618 + 46*b122*b224 + 47*b122*b237 + 97*b122*b252 + 67*b122*b253 + 24
     *b122*b255 + 36*b122*b257 + 23*b122*b260 + 49*b122*b261 + 59*b122*b263 + 
     39*b122*b265 + 85*b122*b271 + 10*b122*b272 + 15*b122*b273 + 9*b122*b274 + 
     18*b122*b277 + 29*b122*b279 + 8*b122*b291 + 5*b122*b292 + 18*b122*b293 + 9
     *b122*b294 + 92*b122*b295 + 22*b122*b297 + 138*b122*b303 + 55*b122*b305 + 
     11*b122*b306 + 71*b122*b513 + 72*b122*b514 + 38*b122*b517 + 125*b122*b518
      + 48*b122*b522 + 16*b122*b524 + 19*b122*b525 + 45*b122*b526 + 8*b122*b527
      + 4*b122*b528 + 54*b122*b529 + 62*b122*b530 + 45*b122*b531 + 124*b122*
     b532 + 30*b122*b535 + 23*b122*b537 + 107*b122*b538 + 35*b122*b539 + 53*
     b122*b540 + 35*b122*b541 + 35*b122*b542 + 21*b122*b546 + 102*b122*b548 + 
     32*b122*b551 + 28*b122*b553 + 26*b122*b555 + 87*b122*b556 + 13*b122*b557
      + 11*b122*b558 + 41*b122*b559 + 14*b122*b562 + 112*b122*b564 + 150*b122*
     b565 + 185*b122*b566 + 158*b122*b567 + 14*b122*b568 + 50*b122*b569 + 43*
     b122*b570 + 33*b122*b572 + 55*b122*b573 + 39*b122*b575 + 9*b122*b576 + 2*
     b122*b577 + 20*b122*b578 + 21*b122*b583 + 244*b122*b584 + 4*b122*b589 + 74
     *b122*b590 + 92*b122*b591 + b122*b592 + 67*b122*b595 + 3*b122*b597 + 16*
     b122*b600 + 10*b122*b601 + 59*b122*b602 + 10*b122*b605 + 12*b122*b606 + 
     b122*b607 + 59*b122*b608 + 45*b122*b612 + 60*b122*b613 + 12*b122*b615 + 18
     *b123*b224 + 94*b123*b237 + 10*b123*b252 + 38*b123*b253 + 18*b123*b254 + 
     21*b123*b256 + 88*b123*b261 + 11*b123*b262 + 8*b123*b265 + 105*b123*b267
      + 3*b123*b271 + 10*b123*b273 + 14*b123*b277 + 18*b123*b280 + 8*b123*b281
      + 41*b123*b282 + 61*b123*b283 + 6*b123*b285 + 43*b123*b288 + 76*b123*b291
      + 40*b123*b297 + 39*b123*b298 + 10*b123*b299 + 39*b123*b301 + 59*b123*
     b302 + 3*b123*b303 + 68*b123*b306 + 106*b123*b307 + 42*b123*b516 + b123*
     b517 + 23*b123*b518 + 18*b123*b519 + 12*b123*b521 + 17*b123*b522 + 44*b123
     *b524 + 92*b123*b528 + 16*b123*b530 + 15*b123*b531 + 30*b123*b533 + 10*
     b123*b534 + 2*b123*b535 + 47*b123*b539 + 16*b123*b540 + 19*b123*b544 + 27*
     b123*b548 + 21*b123*b550 + 40*b123*b552 + 57*b123*b553 + 22*b123*b554 + 28
     *b123*b555 + 58*b123*b556 + 65*b123*b557 + 8*b123*b558 + 5*b123*b560 + 96*
     b123*b561 + 38*b123*b565 + 332*b123*b567 + 103*b123*b569 + 6*b123*b570 + 
     36*b123*b572 + 8*b123*b573 + 4*b123*b574 + 39*b123*b575 + 42*b123*b576 + 6
     *b123*b577 + 44*b123*b578 + 16*b123*b579 + 13*b123*b581 + 241*b123*b585 + 
     30*b123*b586 + 2*b123*b587 + 50*b123*b588 + 37*b123*b589 + 50*b123*b591 + 
     14*b123*b592 + 10*b123*b593 + 11*b123*b594 + 41*b123*b596 + 14*b123*b597
      + 14*b123*b598 + 7*b123*b600 + 40*b123*b602 + 51*b123*b603 + 61*b123*b606
      + 37*b123*b611 + 13*b123*b614 + 51*b123*b617 + 27*b124*b249 + 75*b124*
     b254 + 11*b124*b262 + 2*b124*b264 + 2*b124*b268 + 7*b124*b274 + 10*b124*
     b282 + 8*b124*b286 + 2*b124*b290 + 12*b124*b303 + 17*b124*b304 + 14*b124*
     b305 + 3*b124*b307 + 5*b124*b309 + 24*b124*b511 + 24*b124*b512 + 14*b124*
     b514 + 13*b124*b515 + 42*b124*b516 + 2*b124*b518 + 24*b124*b519 + 6*b124*
     b520 + 18*b124*b522 + 27*b124*b523 + 17*b124*b524 + 13*b124*b525 + 6*b124*
     b527 + 40*b124*b528 + 14*b124*b529 + 12*b124*b531 + 25*b124*b532 + 29*b124
     *b533 + 3*b124*b534 + 7*b124*b535 + 39*b124*b536 + 22*b124*b537 + 9*b124*
     b545 + 33*b124*b551 + 3*b124*b558 + 2*b124*b562 + 12*b124*b565 + 8*b124*
     b566 + 8*b124*b569 + 10*b124*b571 + 5*b124*b572 + 24*b124*b574 + 8*b124*
     b575 + 4*b124*b576 + 25*b124*b577 + 18*b124*b578 + 24*b124*b579 + 19*b124*
     b580 + 14*b124*b581 + 39*b124*b582 + 6*b124*b583 + 26*b124*b591 + 149*b124
     *b597 + 11*b124*b599 + 5*b124*b601 + 23*b124*b606 + 61*b124*b608 + 17*b124
     *b610 + 67*b124*b611 + 2*b124*b613 + 6*b124*b614 + 45*b124*b616 + 44*b124*
     b617 + 18*b124*b618 + 29*b125*b237 + 19*b125*b249 + 25*b125*b254 + 34*b125
     *b255 + 18*b125*b256 + 11*b125*b259 + 43*b125*b260 + 5*b125*b263 + 13*b125
     *b264 + 28*b125*b265 + 6*b125*b266 + 2*b125*b267 + 6*b125*b272 + 2*b125*
     b279 + 89*b125*b282 + 7*b125*b285 + 71*b125*b286 + 7*b125*b289 + 16*b125*
     b290 + 3*b125*b293 + 7*b125*b294 + 6*b125*b298 + 14*b125*b299 + 191*b125*
     b300 + 8*b125*b301 + 128*b125*b302 + 61*b125*b305 + 37*b125*b307 + 32*b125
     *b308 + 14*b125*b512 + 17*b125*b515 + 16*b125*b518 + 12*b125*b520 + 3*b125
     *b521 + b125*b522 + 3*b125*b523 + 23*b125*b524 + 27*b125*b525 + 31*b125*
     b527 + 5*b125*b528 + b125*b531 + 19*b125*b532 + 19*b125*b534 + 23*b125*
     b535 + 6*b125*b536 + 12*b125*b538 + 80*b125*b544 + 13*b125*b545 + 13*b125*
     b548 + 33*b125*b551 + 46*b125*b554 + 3*b125*b557 + 11*b125*b558 + 28*b125*
     b560 + 2*b125*b561 + 40*b125*b563 + 24*b125*b564 + 60*b125*b567 + 55*b125*
     b570 + 27*b125*b571 + 4*b125*b572 + 2*b125*b574 + 44*b125*b577 + 40*b125*
     b578 + 4*b125*b580 + 58*b125*b581 + 30*b125*b586 + 23*b125*b587 + 13*b125*
     b591 + 3*b125*b593 + 4*b125*b595 + 8*b125*b596 + 123*b125*b598 + 13*b125*
     b600 + 7*b125*b601 + 15*b125*b603 + 30*b125*b604 + 25*b125*b605 + 76*b125*
     b609 + 83*b125*b610 + 7*b125*b612 + 20*b125*b618 + 17*b126*b249 + 3*b126*
     b253 + 13*b126*b260 + 38*b126*b264 + 44*b126*b266 + 21*b126*b267 + 6*b126*
     b269 + 17*b126*b272 + 16*b126*b273 + 2*b126*b275 + 36*b126*b276 + 4*b126*
     b278 + 17*b126*b279 + 34*b126*b280 + 13*b126*b282 + 24*b126*b284 + 10*b126
     *b287 + 61*b126*b289 + 7*b126*b291 + 30*b126*b292 + 16*b126*b294 + 2*b126*
     b295 + 20*b126*b297 + 29*b126*b298 + 26*b126*b300 + 50*b126*b302 + 31*b126
     *b303 + 185*b126*b304 + 173*b126*b305 + 62*b126*b307 + 172*b126*b308 + 18*
     b126*b511 + 27*b126*b513 + 3*b126*b514 + 14*b126*b515 + 45*b126*b516 + 93*
     b126*b518 + 5*b126*b521 + 4*b126*b523 + 14*b126*b525 + 73*b126*b527 + 15*
     b126*b529 + 59*b126*b530 + 96*b126*b532 + 32*b126*b533 + 48*b126*b535 + 60
     *b126*b537 + 32*b126*b539 + 5*b126*b542 + 86*b126*b554 + 7*b126*b557 + 12*
     b126*b558 + 174*b126*b563 + 99*b126*b570 + 4*b126*b571 + 43*b126*b572 + 10
     *b126*b574 + 6*b126*b575 + 47*b126*b584 + 57*b126*b586 + 4*b126*b588 + 30*
     b126*b595 + 52*b126*b597 + 9*b126*b598 + 41*b126*b599 + 17*b126*b600 + 18*
     b126*b602 + 22*b126*b603 + 2*b126*b605 + 103*b126*b608 + 40*b126*b610 + 36
     *b126*b612 + 25*b126*b616 + 20*b126*b617 + 2*b126*b618 + 2*b127*b246 + 43*
     b127*b256 + 5*b127*b257 + 24*b127*b261 + 8*b127*b264 + 44*b127*b265 + 26*
     b127*b269 + 117*b127*b270 + 16*b127*b272 + 50*b127*b282 + 169*b127*b283 + 
     8*b127*b286 + 31*b127*b288 + 68*b127*b295 + 120*b127*b296 + 29*b127*b299
      + 76*b127*b302 + 200*b127*b304 + 26*b127*b305 + 43*b127*b308 + 201*b127*
     b309 + 44*b127*b511 + 14*b127*b512 + 26*b127*b513 + 125*b127*b516 + 25*
     b127*b520 + 7*b127*b521 + 2*b127*b522 + 7*b127*b523 + 26*b127*b524 + 23*
     b127*b525 + 8*b127*b529 + 33*b127*b531 + 14*b127*b533 + 34*b127*b536 + 16*
     b127*b540 + 13*b127*b542 + 14*b127*b543 + 9*b127*b544 + 4*b127*b548 + 70*
     b127*b549 + 16*b127*b550 + 15*b127*b551 + 24*b127*b553 + 2*b127*b555 + 5*
     b127*b556 + 13*b127*b557 + 32*b127*b559 + 94*b127*b560 + 101*b127*b561 + 
     44*b127*b562 + 28*b127*b564 + 75*b127*b565 + 154*b127*b568 + 24*b127*b571
      + 46*b127*b573 + 10*b127*b575 + 44*b127*b576 + 13*b127*b578 + 15*b127*
     b579 + 26*b127*b580 + 17*b127*b581 + 21*b127*b582 + 18*b127*b583 + b127*
     b584 + 2*b127*b586 + 37*b127*b588 + 9*b127*b589 + 20*b127*b590 + 100*b127*
     b591 + 16*b127*b592 + 30*b127*b593 + 12*b127*b596 + 3*b127*b597 + 10*b127*
     b600 + 45*b127*b601 + 7*b127*b602 + 30*b127*b603 + 2*b127*b604 + 34*b127*
     b605 + 29*b127*b608 + 11*b127*b609 + 98*b127*b610 + b127*b611 + 7*b127*
     b612 + 3*b127*b613 + 24*b127*b614 + 47*b127*b615 + 36*b127*b616 + 17*b127*
     b617 + 75*b128*b224 + 41*b128*b253 + 29*b128*b262 + 50*b128*b263 + 79*b128
     *b265 + 53*b128*b269 + 15*b128*b279 + 16*b128*b282 + 4*b128*b284 + 35*b128
     *b285 + 22*b128*b286 + 50*b128*b289 + 11*b128*b291 + 57*b128*b294 + 45*
     b128*b297 + 313*b128*b302 + 150*b128*b303 + 68*b128*b305 + 175*b128*b308
      + 57*b128*b309 + 41*b128*b512 + 50*b128*b516 + 16*b128*b526 + 4*b128*b528
      + 35*b128*b529 + 22*b128*b530 + 45*b128*b536 + 57*b128*b538 + 95*b128*
     b542 + 85*b128*b543 + 8*b128*b546 + 14*b128*b547 + 55*b128*b548 + 9*b128*
     b549 + 28*b128*b551 + 3*b128*b552 + 40*b128*b553 + 65*b128*b555 + 8*b128*
     b559 + b128*b560 + 59*b128*b563 + b128*b564 + 313*b128*b566 + 175*b128*
     b569 + 57*b128*b570 + 75*b128*b571 + 53*b128*b577 + 15*b128*b579 + 11*b128
     *b580 + 57*b128*b582 + 68*b128*b585 + 28*b128*b588 + 52*b128*b590 + 20*
     b128*b593 + 19*b128*b597 + 79*b128*b599 + 13*b128*b603 + 26*b128*b604 + 37
     *b128*b605 + 150*b128*b609 + 29*b128*b612 + 50*b128*b614 + 21*b128*b615 + 
     5*b129*b224 + 23*b129*b249 + 21*b129*b259 + 4*b129*b261 + 26*b129*b262 + 7
     *b129*b264 + 7*b129*b268 + 20*b129*b270 + 151*b129*b273 + 16*b129*b280 + 
     10*b129*b286 + 22*b129*b289 + 19*b129*b296 + 24*b129*b297 + 27*b129*b298
      + 9*b129*b302 + 19*b129*b303 + 27*b129*b304 + 29*b129*b305 + 29*b129*b307
      + 5*b129*b308 + 9*b129*b511 + 11*b129*b512 + 9*b129*b513 + b129*b514 + 6*
     b129*b516 + 19*b129*b519 + 21*b129*b521 + 40*b129*b522 + 10*b129*b523 + 20
     *b129*b524 + 75*b129*b525 + 20*b129*b527 + 55*b129*b528 + 100*b129*b529 + 
     57*b129*b531 + 16*b129*b532 + 23*b129*b533 + 55*b129*b537 + 4*b129*b539 + 
     33*b129*b541 + 8*b129*b556 + 2*b129*b558 + 49*b129*b559 + 3*b129*b565 + 16
     *b129*b570 + 15*b129*b572 + 30*b129*b574 + 20*b129*b576 + 20*b129*b577 + 9
     *b129*b578 + 13*b129*b579 + 27*b129*b580 + 8*b129*b581 + 14*b129*b582 + 7*
     b129*b584 + 6*b129*b586 + 33*b129*b590 + 7*b129*b591 + 2*b129*b592 + 41*
     b129*b593 + 113*b129*b594 + 48*b129*b599 + 89*b129*b602 + 24*b129*b603 + 
     13*b129*b611 + 17*b129*b613 + 25*b129*b616 + 5*b129*b617 + 21*b129*b618 + 
     b130*b253 + 31*b130*b276 + 21*b130*b283 + 8*b130*b286 + 24*b130*b290 + 4*
     b130*b291 + 90*b130*b297 + 26*b130*b298 + 29*b130*b304 + 13*b130*b305 + 21
     *b130*b306 + 2*b130*b307 + b130*b512 + 31*b130*b522 + 21*b130*b527 + 8*
     b130*b530 + 90*b130*b536 + 18*b130*b538 + 14*b130*b539 + 12*b130*b543 + 6*
     b130*b548 + 10*b130*b551 + 9*b130*b555 + 45*b130*b557 + 7*b130*b563 + 29*
     b130*b567 + 2*b130*b568 + 4*b130*b580 + 26*b130*b583 + 13*b130*b585 + 4*
     b130*b590 + 13*b130*b591 + 2*b130*b595 + 22*b130*b597 + 24*b130*b602 + 21*
     b130*b610 + 26*b130*b615 + 2*b131*b253 + 9*b131*b256 + 6*b131*b257 + 21*
     b131*b261 + 19*b131*b262 + 14*b131*b265 + 9*b131*b267 + 23*b131*b268 + 32*
     b131*b270 + 33*b131*b271 + 37*b131*b276 + 200*b131*b280 + 19*b131*b282 + 
     14*b131*b288 + 4*b131*b289 + 53*b131*b293 + 14*b131*b295 + 12*b131*b297 + 
     367*b131*b301 + 134*b131*b302 + 80*b131*b303 + 126*b131*b306 + 65*b131*
     b308 + 67*b131*b511 + 42*b131*b513 + 26*b131*b516 + 44*b131*b519 + 80*b131
     *b520 + 22*b131*b521 + 10*b131*b523 + 82*b131*b524 + 21*b131*b525 + 35*
     b131*b527 + 9*b131*b528 + 13*b131*b529 + 5*b131*b530 + 20*b131*b531 + 16*
     b131*b535 + 14*b131*b537 + 133*b131*b539 + 7*b131*b541 + 5*b131*b543 + 19*
     b131*b545 + 29*b131*b547 + 35*b131*b554 + 5*b131*b556 + 157*b131*b557 + 
     b131*b559 + 8*b131*b560 + 6*b131*b565 + 295*b131*b567 + 52*b131*b568 + 155
     *b131*b570 + 27*b131*b571 + 104*b131*b572 + 29*b131*b573 + 10*b131*b575 + 
     b131*b576 + 60*b131*b577 + 52*b131*b578 + 43*b131*b579 + 18*b131*b580 + 15
     *b131*b581 + 49*b131*b583 + 217*b131*b585 + 16*b131*b586 + 81*b131*b587 + 
     36*b131*b592 + 40*b131*b593 + 52*b131*b596 + 40*b131*b598 + 23*b131*b602
      + 6*b131*b605 + 3*b131*b607 + 20*b131*b611 + 30*b131*b616 + 22*b131*b617
      + 90*b132*b224 + 3*b132*b246 + 4*b132*b262 + 21*b132*b267 + 48*b132*b271
      + 43*b132*b272 + 40*b132*b275 + 26*b132*b276 + 15*b132*b277 + 36*b132*
     b278 + 3*b132*b280 + 56*b132*b281 + 48*b132*b284 + 30*b132*b286 + 21*b132*
     b288 + 33*b132*b289 + 17*b132*b290 + 3*b132*b291 + 39*b132*b293 + b132*
     b294 + 11*b132*b295 + 21*b132*b298 + 186*b132*b302 + 23*b132*b303 + 57*
     b132*b304 + 51*b132*b306 + 15*b132*b308 + 237*b132*b309 + 4*b132*b511 + 71
     *b132*b512 + 115*b132*b513 + 24*b132*b514 + 22*b132*b515 + 4*b132*b516 + 
     b132*b517 + 56*b132*b518 + 18*b132*b520 + 49*b132*b521 + 23*b132*b526 + 23
     *b132*b527 + 59*b132*b529 + 26*b132*b531 + 66*b132*b535 + 6*b132*b536 + 57
     *b132*b538 + 9*b132*b539 + 36*b132*b542 + 47*b132*b543 + 16*b132*b545 + 3*
     b132*b546 + 43*b132*b547 + 29*b132*b549 + 9*b132*b550 + 11*b132*b552 + 4*
     b132*b554 + 24*b132*b556 + 17*b132*b560 + 66*b132*b561 + 42*b132*b562 + 
     191*b132*b565 + 47*b132*b568 + 30*b132*b573 + 45*b132*b574 + 16*b132*b575
      + 12*b132*b576 + 48*b132*b577 + 13*b132*b579 + 26*b132*b581 + 65*b132*
     b584 + 18*b132*b585 + 39*b132*b587 + 30*b132*b593 + 6*b132*b595 + 15*b132*
     b599 + 45*b132*b600 + 48*b132*b603 + 22*b132*b608 + 120*b132*b611 + 20*
     b132*b616 + 41*b132*b617 + 13*b133*b249 + 4*b133*b252 + 32*b133*b253 + 3*
     b133*b254 + 17*b133*b255 + 51*b133*b256 + 13*b133*b260 + 2*b133*b263 + 21*
     b133*b265 + 70*b133*b266 + 39*b133*b267 + 22*b133*b268 + 22*b133*b269 + 11
     *b133*b277 + 11*b133*b278 + 8*b133*b279 + 7*b133*b282 + 22*b133*b283 + 5*
     b133*b285 + 63*b133*b288 + 17*b133*b293 + 4*b133*b294 + 7*b133*b296 + 21*
     b133*b299 + 25*b133*b300 + 143*b133*b301 + 45*b133*b302 + 46*b133*b303 + 
     158*b133*b305 + 23*b133*b307 + 18*b133*b511 + 51*b133*b517 + 29*b133*b518
      + 14*b133*b519 + 14*b133*b520 + 14*b133*b521 + 14*b133*b522 + 8*b133*b525
      + 16*b133*b528 + b133*b530 + 29*b133*b531 + 89*b133*b534 + 16*b133*b536
      + 114*b133*b540 + b133*b543 + b133*b544 + 40*b133*b546 + 51*b133*b548 + 
     44*b133*b549 + 30*b133*b550 + 3*b133*b551 + 5*b133*b552 + 4*b133*b554 + 
     b133*b555 + 99*b133*b556 + 31*b133*b559 + 15*b133*b560 + 66*b133*b567 + 
     237*b133*b569 + 42*b133*b570 + 9*b133*b571 + 12*b133*b572 + 39*b133*b574
      + 81*b133*b575 + 35*b133*b578 + 31*b133*b580 + 5*b133*b581 + 13*b133*b583
      + 40*b133*b590 + 28*b133*b591 + 11*b133*b593 + 12*b133*b594 + 22*b133*
     b597 + 11*b133*b598 + 22*b133*b601 + 8*b133*b602 + 7*b133*b605 + 19*b133*
     b610 + 110*b133*b612 + 76*b133*b614 + 52*b133*b618 + 64*b134*b224 + 7*b134
     *b249 + 26*b134*b256 + 36*b134*b260 + 22*b134*b266 + 122*b134*b271 + 8*
     b134*b273 + 19*b134*b278 + 59*b134*b281 + 8*b134*b283 + 6*b134*b284 + 6*
     b134*b286 + 57*b134*b288 + 61*b134*b289 + 49*b134*b290 + 24*b134*b291 + 65
     *b134*b295 + 7*b134*b297 + 45*b134*b303 + 300*b134*b305 + 146*b134*b306 + 
     37*b134*b511 + 21*b134*b513 + 47*b134*b515 + 35*b134*b516 + 130*b134*b517
      + 122*b134*b518 + 31*b134*b519 + 22*b134*b521 + b134*b522 + 41*b134*b523
      + 71*b134*b526 + 67*b134*b529 + 28*b134*b531 + 12*b134*b533 + 25*b134*
     b535 + 5*b134*b537 + 4*b134*b538 + 84*b134*b540 + 18*b134*b542 + 26*b134*
     b543 + 74*b134*b546 + 20*b134*b548 + 95*b134*b549 + 49*b134*b550 + 2*b134*
     b553 + 27*b134*b554 + 33*b134*b556 + 131*b134*b558 + 65*b134*b561 + 22*
     b134*b563 + 52*b134*b564 + 9*b134*b565 + 103*b134*b566 + 90*b134*b567 + 60
     *b134*b568 + 86*b134*b569 + 73*b134*b570 + 18*b134*b572 + 3*b134*b574 + 34
     *b134*b575 + 7*b134*b577 + 15*b134*b578 + 25*b134*b582 + 27*b134*b583 + 82
     *b134*b584 + 9*b134*b589 + 97*b134*b590 + 134*b134*b595 + 12*b134*b597 + 9
     *b134*b599 + 62*b134*b600 + 32*b134*b601 + 33*b134*b606 + 64*b134*b612 + 
     17*b134*b613 + 8*b135*b224 + 22*b135*b249 + b135*b252 + 105*b135*b259 + 13
     *b135*b260 + 9*b135*b261 + 27*b135*b264 + 55*b135*b265 + 3*b135*b267 + 73*
     b135*b270 + 28*b135*b272 + 20*b135*b273 + 4*b135*b274 + 4*b135*b277 + 16*
     b135*b280 + 18*b135*b281 + 4*b135*b282 + 36*b135*b283 + 23*b135*b284 + 62*
     b135*b285 + 97*b135*b288 + 38*b135*b290 + 2*b135*b292 + 6*b135*b293 + 88*
     b135*b296 + 56*b135*b303 + 47*b135*b304 + 64*b135*b305 + 220*b135*b308 + 
     26*b135*b512 + 19*b135*b513 + 106*b135*b514 + 18*b135*b516 + 27*b135*b522
      + 24*b135*b524 + 45*b135*b530 + 42*b135*b531 + 27*b135*b534 + 4*b135*b536
      + 16*b135*b545 + 49*b135*b546 + 56*b135*b551 + 60*b135*b552 + 13*b135*
     b557 + 61*b135*b559 + 3*b135*b561 + 123*b135*b563 + 26*b135*b564 + 14*b135
     *b565 + 154*b135*b566 + 141*b135*b568 + 33*b135*b570 + 12*b135*b572 + 103*
     b135*b574 + 56*b135*b576 + 18*b135*b577 + b135*b578 + 6*b135*b579 + 24*
     b135*b580 + 6*b135*b582 + 207*b135*b584 + 18*b135*b587 + 13*b135*b589 + 80
     *b135*b591 + 16*b135*b592 + 29*b135*b596 + 13*b135*b597 + 23*b135*b598 + 
     63*b135*b600 + 14*b135*b603 + 14*b135*b607 + 43*b135*b610 + 90*b135*b612
      + 131*b135*b614 + 13*b135*b617 + 40*b135*b618 + 53*b136*b237 + 23*b136*
     b249 + 3*b136*b254 + 67*b136*b256 + 36*b136*b257 + 17*b136*b261 + b136*
     b264 + 4*b136*b267 + 14*b136*b268 + 51*b136*b273 + 42*b136*b277 + 15*b136*
     b281 + 8*b136*b283 + 32*b136*b284 + 40*b136*b285 + 23*b136*b287 + 23*b136*
     b288 + 20*b136*b289 + 31*b136*b291 + 133*b136*b293 + 3*b136*b299 + 17*b136
     *b302 + 87*b136*b304 + 6*b136*b306 + 27*b136*b307 + 10*b136*b512 + 57*b136
     *b516 + 35*b136*b518 + 20*b136*b519 + 39*b136*b521 + 74*b136*b522 + 65*
     b136*b526 + 17*b136*b530 + 23*b136*b534 + 14*b136*b535 + 3*b136*b536 + 11*
     b136*b539 + 28*b136*b540 + 17*b136*b541 + 105*b136*b542 + 24*b136*b545 + 
     50*b136*b546 + 11*b136*b550 + 55*b136*b553 + 145*b136*b555 + 11*b136*b556
      + 11*b136*b557 + 41*b136*b559 + 44*b136*b561 + 3*b136*b562 + 167*b136*
     b565 + 47*b136*b569 + 214*b136*b570 + 35*b136*b571 + 32*b136*b572 + 13*
     b136*b575 + 29*b136*b576 + b136*b577 + 60*b136*b578 + 75*b136*b581 + 36*
     b136*b582 + 22*b136*b583 + 38*b136*b584 + 53*b136*b585 + 6*b136*b586 + 11*
     b136*b587 + 81*b136*b588 + 47*b136*b589 + 34*b136*b590 + 10*b136*b591 + 80
     *b136*b592 + 35*b136*b594 + 53*b136*b596 + 54*b136*b598 + 31*b136*b599 + 
     43*b136*b601 + 48*b136*b605 + 82*b136*b607 + 58*b136*b608 + 274*b136*b609
      + 40*b136*b611 + 19*b136*b612 + 80*b136*b615 + 53*b136*b616 + 4*b136*b617
      + 36*b136*b618 + 23*b137*b246 + 43*b137*b249 + 12*b137*b252 + 22*b137*
     b254 + 9*b137*b256 + 29*b137*b257 + 21*b137*b262 + 113*b137*b263 + 8*b137*
     b266 + 13*b137*b269 + 79*b137*b271 + 9*b137*b272 + 23*b137*b274 + 25*b137*
     b275 + 14*b137*b277 + 19*b137*b282 + 23*b137*b283 + 11*b137*b287 + 20*b137
     *b288 + 23*b137*b289 + 40*b137*b290 + 23*b137*b293 + 52*b137*b294 + 35*
     b137*b297 + 27*b137*b299 + 93*b137*b300 + 258*b137*b301 + 67*b137*b302 + 
     63*b137*b304 + 171*b137*b305 + 47*b137*b512 + 40*b137*b515 + 23*b137*b517
      + 10*b137*b518 + 27*b137*b520 + 24*b137*b522 + 3*b137*b524 + 18*b137*b525
      + 14*b137*b528 + 40*b137*b530 + 15*b137*b534 + 34*b137*b535 + 125*b137*
     b538 + 10*b137*b539 + 66*b137*b543 + 25*b137*b549 + 18*b137*b551 + 7*b137*
     b553 + 30*b137*b556 + 40*b137*b558 + 3*b137*b559 + 82*b137*b561 + 133*b137
     *b568 + 92*b137*b569 + 172*b137*b570 + 29*b137*b571 + 9*b137*b575 + 15*
     b137*b579 + 40*b137*b580 + 45*b137*b581 + 69*b137*b583 + 11*b137*b587 + 73
     *b137*b591 + 26*b137*b594 + 68*b137*b595 + 44*b137*b597 + 33*b137*b598 + 
     28*b137*b599 + 20*b137*b600 + 42*b137*b601 + 66*b137*b604 + 22*b137*b605
      + 135*b137*b609 + 42*b137*b610 + 80*b137*b611 + 106*b137*b613 + 7*b137*
     b615 + 72*b137*b617 + 5*b138*b252 + 3*b138*b254 + b138*b259 + 16*b138*b260
      + 53*b138*b261 + 12*b138*b263 + 35*b138*b264 + 14*b138*b265 + 54*b138*
     b266 + 86*b138*b268 + 17*b138*b270 + 55*b138*b271 + 3*b138*b272 + 67*b138*
     b273 + 4*b138*b274 + 19*b138*b275 + 55*b138*b280 + 18*b138*b283 + 40*b138*
     b286 + 21*b138*b288 + 11*b138*b289 + 24*b138*b291 + 9*b138*b296 + 14*b138*
     b298 + 77*b138*b301 + 21*b138*b302 + 43*b138*b303 + 81*b138*b304 + 103*
     b138*b308 + 95*b138*b309 + 8*b138*b511 + 34*b138*b512 + 55*b138*b514 + 9*
     b138*b522 + 32*b138*b523 + 15*b138*b524 + 17*b138*b525 + 10*b138*b526 + 46
     *b138*b528 + 30*b138*b529 + 41*b138*b531 + 6*b138*b533 + b138*b534 + 7*
     b138*b536 + 9*b138*b537 + 31*b138*b538 + 7*b138*b539 + 17*b138*b540 + 29*
     b138*b542 + 36*b138*b543 + b138*b544 + 67*b138*b546 + 18*b138*b551 + 34*
     b138*b552 + 15*b138*b554 + 7*b138*b555 + 29*b138*b556 + 22*b138*b557 + 115
     *b138*b559 + 20*b138*b560 + 5*b138*b561 + 3*b138*b562 + 37*b138*b565 + 56*
     b138*b568 + 14*b138*b571 + b138*b572 + 9*b138*b573 + 69*b138*b574 + 18*
     b138*b577 + 41*b138*b579 + 17*b138*b581 + 7*b138*b582 + 250*b138*b585 + 15
     *b138*b587 + 57*b138*b590 + 21*b138*b591 + 32*b138*b592 + 31*b138*b593 + 
     67*b138*b594 + 15*b138*b595 + 26*b138*b596 + 6*b138*b598 + 130*b138*b602
      + 120*b138*b603 + 7*b138*b604 + 7*b138*b605 + 5*b138*b606 + 26*b138*b607
      + 14*b138*b608 + 102*b138*b610 + 32*b138*b612 + 46*b138*b613 + 14*b138*
     b615 + 3*b138*b617 + 11*b139*b237 + 41*b139*b249 + 27*b139*b256 + 18*b139*
     b261 + 67*b139*b264 + 12*b139*b265 + 13*b139*b266 + 2*b139*b267 + 33*b139*
     b268 + 12*b139*b269 + 52*b139*b270 + 11*b139*b271 + 9*b139*b272 + 55*b139*
     b273 + 9*b139*b274 + 4*b139*b275 + 9*b139*b276 + 38*b139*b282 + 47*b139*
     b283 + 10*b139*b284 + 31*b139*b286 + 45*b139*b288 + 79*b139*b289 + 33*b139
     *b291 + 3*b139*b296 + 47*b139*b298 + 48*b139*b301 + 224*b139*b302 + 194*
     b139*b304 + 6*b139*b305 + 62*b139*b306 + 66*b139*b307 + 120*b139*b309 + 70
     *b139*b512 + 20*b139*b513 + 42*b139*b516 + 29*b139*b523 + 71*b139*b524 + 3
     *b139*b525 + 24*b139*b529 + 2*b139*b531 + 95*b139*b533 + 15*b139*b534 + 33
     *b139*b536 + 45*b139*b542 + 27*b139*b543 + 9*b139*b544 + 3*b139*b545 + 2*
     b139*b549 + 5*b139*b551 + 43*b139*b554 + 61*b139*b555 + 98*b139*b557 + 46*
     b139*b558 + 53*b139*b559 + 5*b139*b560 + 45*b139*b561 + 24*b139*b562 + 4*
     b139*b563 + 3*b139*b564 + 128*b139*b565 + 44*b139*b569 + 27*b139*b571 + 24
     *b139*b572 + 24*b139*b574 + 29*b139*b575 + 71*b139*b579 + 19*b139*b581 + 
     55*b139*b582 + 28*b139*b586 + 49*b139*b590 + 9*b139*b591 + 65*b139*b592 + 
     11*b139*b594 + 56*b139*b595 + 20*b139*b598 + 26*b139*b601 + 46*b139*b602
      + 29*b139*b603 + 48*b139*b604 + 43*b139*b606 + 31*b139*b608 + 105*b139*
     b609 + 13*b139*b611 + 15*b139*b612 + 130*b139*b615 + 10*b139*b616 + 21*
     b139*b617 + 3*b140*b237 + 45*b140*b246 + 4*b140*b254 + 15*b140*b259 + 16*
     b140*b267 + 113*b140*b272 + 3*b140*b274 + 15*b140*b275 + 29*b140*b276 + 7*
     b140*b278 + 13*b140*b284 + 24*b140*b286 + 7*b140*b302 + 18*b140*b303 + 44*
     b140*b308 + 3*b140*b512 + 40*b140*b514 + 28*b140*b516 + 9*b140*b518 + 16*
     b140*b520 + 11*b140*b523 + 89*b140*b525 + 9*b140*b526 + 21*b140*b527 + 42*
     b140*b529 + 34*b140*b531 + 37*b140*b532 + 21*b140*b533 + 4*b140*b534 + 23*
     b140*b535 + 109*b140*b536 + 32*b140*b537 + 162*b140*b539 + 6*b140*b540 + 
     15*b140*b542 + 14*b140*b545 + 9*b140*b546 + 13*b140*b550 + 4*b140*b563 + 2
     *b140*b565 + b140*b567 + 16*b140*b570 + 8*b140*b571 + 28*b140*b573 + 25*
     b140*b574 + 4*b140*b576 + 28*b140*b577 + 31*b140*b579 + 38*b140*b580 + 22*
     b140*b581 + 58*b140*b582 + 13*b140*b583 + 2*b140*b584 + 9*b140*b585 + 7*
     b140*b592 + 2*b140*b595 + 27*b140*b597 + 46*b140*b599 + 21*b140*b600 + 8*
     b140*b601 + 8*b140*b602 + 22*b140*b603 + 17*b140*b604 + 9*b140*b606 + 24*
     b140*b610 + 24*b140*b611 + 26*b140*b612 + 13*b140*b614 + 22*b140*b616 + 5*
     b140*b617 + 24*b140*b618 + 14*b141*b246 + 154*b141*b252 + 20*b141*b253 + 
     38*b141*b254 + 7*b141*b257 + 22*b141*b259 + 144*b141*b260 + 4*b141*b261 + 
     23*b141*b262 + 39*b141*b263 + 31*b141*b270 + 36*b141*b272 + 78*b141*b275
      + 4*b141*b277 + 3*b141*b280 + 16*b141*b283 + 9*b141*b284 + 45*b141*b286
      + 11*b141*b287 + b141*b288 + 9*b141*b289 + 22*b141*b290 + 5*b141*b291 + 
     37*b141*b292 + 9*b141*b295 + 19*b141*b296 + 18*b141*b299 + 201*b141*b300
      + 93*b141*b301 + 213*b141*b302 + 167*b141*b303 + 28*b141*b305 + 170*b141*
     b307 + 207*b141*b308 + 13*b141*b514 + 19*b141*b517 + 18*b141*b521 + 26*
     b141*b522 + 16*b141*b524 + 3*b141*b525 + 66*b141*b526 + 5*b141*b529 + 38*
     b141*b533 + 12*b141*b536 + 24*b141*b540 + 25*b141*b544 + 19*b141*b545 + 8*
     b141*b546 + 62*b141*b547 + 50*b141*b557 + 8*b141*b559 + 5*b141*b561 + 6*
     b141*b564 + 79*b141*b567 + 190*b141*b570 + 47*b141*b571 + 42*b141*b573 + 
     16*b141*b576 + 68*b141*b577 + 28*b141*b579 + 45*b141*b582 + 29*b141*b583
      + 54*b141*b587 + 27*b141*b588 + b141*b591 + 22*b141*b592 + 35*b141*b593
      + 52*b141*b594 + 20*b141*b597 + 121*b141*b598 + 46*b141*b599 + 19*b141*
     b600 + 2*b141*b604 + 87*b141*b605 + 49*b141*b607 + 136*b141*b610 + 18*b141
     *b613 + 13*b141*b615 + 82*b141*b617 + 20*b141*b618 + 179*b142*b224 + 49*
     b142*b237 + 2*b142*b259 + 48*b142*b261 + 19*b142*b262 + 162*b142*b263 + 6*
     b142*b264 + 79*b142*b267 + 23*b142*b268 + 11*b142*b270 + 3*b142*b273 + 
     b142*b275 + 58*b142*b276 + 9*b142*b280 + 10*b142*b287 + 12*b142*b288 + 14*
     b142*b289 + b142*b294 + 10*b142*b295 + 28*b142*b297 + 55*b142*b298 + 22*
     b142*b299 + 94*b142*b300 + 376*b142*b301 + 67*b142*b302 + 30*b142*b303 + 
     33*b142*b306 + 242*b142*b309 + 119*b142*b512 + 75*b142*b513 + 5*b142*b519
      + 93*b142*b521 + 48*b142*b523 + 88*b142*b524 + 55*b142*b525 + 42*b142*
     b526 + 67*b142*b527 + 106*b142*b528 + 37*b142*b529 + b142*b530 + 49*b142*
     b533 + 39*b142*b535 + 131*b142*b538 + b142*b541 + 15*b142*b542 + 62*b142*
     b544 + 31*b142*b545 + 6*b142*b551 + 9*b142*b553 + 13*b142*b554 + 13*b142*
     b555 + 9*b142*b556 + 5*b142*b558 + 31*b142*b560 + 23*b142*b561 + 45*b142*
     b562 + 12*b142*b564 + 77*b142*b567 + 247*b142*b568 + 249*b142*b569 + 44*
     b142*b572 + 25*b142*b573 + 27*b142*b574 + 15*b142*b577 + 48*b142*b579 + 8*
     b142*b580 + 55*b142*b581 + 26*b142*b585 + 25*b142*b586 + 53*b142*b590 + 23
     *b142*b592 + 48*b142*b596 + 23*b142*b599 + 59*b142*b602 + 19*b142*b607 + 
     68*b142*b611 + 36*b142*b615 + 68*b142*b616 + 50*b142*b617 + 54*b142*b618
      + 11*b143*b237 + 30*b143*b254 + 3*b143*b255 + 29*b143*b256 + 54*b143*b259
      + 12*b143*b265 + 2*b143*b276 + 23*b143*b278 + 21*b143*b279 + b143*b282 + 
     4*b143*b284 + 140*b143*b288 + 11*b143*b291 + 5*b143*b293 + 20*b143*b298 + 
     274*b143*b301 + 3*b143*b303 + 207*b143*b305 + 135*b143*b309 + 11*b143*b511
      + 30*b143*b513 + 29*b143*b514 + 2*b143*b522 + 23*b143*b524 + b143*b526 + 
     4*b143*b528 + 140*b143*b532 + 5*b143*b533 + 10*b143*b538 + 4*b143*b539 + 3
     *b143*b540 + 59*b143*b543 + 20*b143*b544 + 45*b143*b545 + 4*b143*b547 + 10
     *b143*b549 + 2*b143*b550 + 13*b143*b553 + 8*b143*b554 + 4*b143*b555 + 73*
     b143*b556 + 17*b143*b559 + 109*b143*b560 + 3*b143*b562 + 71*b143*b564 + 
     135*b143*b570 + 54*b143*b575 + 21*b143*b579 + 11*b143*b580 + 20*b143*b583
      + 274*b143*b584 + 207*b143*b585 + 30*b143*b588 + b143*b589 + 46*b143*b597
      + b143*b598 + 12*b143*b599 + 4*b143*b604 + 11*b143*b607 + 49*b143*b608 + 
     3*b143*b609 + 3*b143*b617 + 34*b144*b246 + 25*b144*b253 + 25*b144*b254 + 2
     *b144*b255 + 12*b144*b256 + 48*b144*b257 + 105*b144*b261 + 12*b144*b267 + 
     2*b144*b269 + 19*b144*b274 + 37*b144*b275 + 109*b144*b277 + 28*b144*b278
      + 104*b144*b281 + 21*b144*b282 + 35*b144*b284 + 126*b144*b285 + 101*b144*
     b287 + b144*b290 + 37*b144*b292 + 13*b144*b295 + 8*b144*b297 + 41*b144*
     b299 + 30*b144*b300 + 45*b144*b302 + 2*b144*b304 + 42*b144*b305 + 76*b144*
     b306 + 195*b144*b307 + 52*b144*b511 + 64*b144*b516 + 37*b144*b517 + 42*
     b144*b518 + 61*b144*b519 + 16*b144*b520 + 190*b144*b522 + 24*b144*b527 + 
     32*b144*b530 + 11*b144*b532 + 3*b144*b533 + 9*b144*b535 + 21*b144*b539 + 
     14*b144*b540 + 41*b144*b541 + 3*b144*b542 + 6*b144*b545 + 77*b144*b553 + 
     42*b144*b555 + 36*b144*b558 + 5*b144*b559 + 22*b144*b561 + 33*b144*b569 + 
     260*b144*b570 + 12*b144*b571 + 23*b144*b573 + 10*b144*b575 + 25*b144*b576
      + 54*b144*b579 + 66*b144*b580 + 52*b144*b582 + 137*b144*b583 + 67*b144*
     b584 + 32*b144*b586 + 14*b144*b587 + 2*b144*b588 + 66*b144*b590 + 22*b144*
     b591 + 5*b144*b592 + 127*b144*b594 + 11*b144*b597 + 34*b144*b598 + 4*b144*
     b599 + 55*b144*b600 + 23*b144*b601 + 17*b144*b605 + 15*b144*b606 + 20*b144
     *b607 + 299*b144*b609 + 21*b144*b611 + 14*b144*b612 + 11*b144*b616 + 55*
     b144*b618 + 16*b145*b246 + 7*b145*b249 + b145*b252 + 19*b145*b253 + 37*
     b145*b263 + 15*b145*b267 + 50*b145*b268 + 45*b145*b269 + 5*b145*b274 + 11*
     b145*b275 + 20*b145*b277 + 16*b145*b278 + 24*b145*b279 + 41*b145*b281 + 5*
     b145*b282 + b145*b284 + 45*b145*b290 + 2*b145*b296 + 76*b145*b303 + 13*
     b145*b511 + 24*b145*b513 + 20*b145*b514 + 10*b145*b515 + 12*b145*b517 + 24
     *b145*b518 + 46*b145*b519 + 89*b145*b520 + 16*b145*b522 + 2*b145*b527 + 
     191*b145*b529 + 23*b145*b530 + 53*b145*b531 + 35*b145*b532 + 16*b145*b533
      + 17*b145*b534 + 64*b145*b536 + 48*b145*b537 + 10*b145*b538 + b145*b539
      + 65*b145*b540 + 6*b145*b544 + 39*b145*b545 + 119*b145*b546 + 7*b145*b547
      + 55*b145*b548 + 27*b145*b549 + 165*b145*b550 + 39*b145*b551 + 14*b145*
     b552 + 89*b145*b554 + 65*b145*b558 + 36*b145*b560 + 27*b145*b564 + 28*b145
     *b565 + 218*b145*b566 + 265*b145*b567 + 90*b145*b568 + 104*b145*b569 + 117
     *b145*b570 + 24*b145*b571 + 191*b145*b574 + 71*b145*b576 + 5*b145*b580 + 
     32*b145*b581 + 24*b145*b582 + 3*b145*b583 + 133*b145*b584 + 172*b145*b585
      + 92*b145*b586 + 10*b145*b588 + 134*b145*b590 + 7*b145*b591 + 20*b145*
     b592 + 2*b145*b594 + 30*b145*b595 + 45*b145*b596 + b145*b597 + 8*b145*b598
      + 52*b145*b599 + 25*b145*b601 + 81*b145*b603 + 114*b145*b604 + 31*b145*
     b605 + 12*b145*b606 + 188*b145*b610 + 4*b145*b611 + 27*b145*b612 + 50*b145
     *b614 + 85*b145*b618 + 46*b146*b237 + 38*b146*b252 + 46*b146*b253 + 19*
     b146*b255 + 7*b146*b256 + 6*b146*b257 + 23*b146*b260 + b146*b261 + 2*b146*
     b262 + 23*b146*b263 + 13*b146*b264 + 48*b146*b265 + 95*b146*b270 + 24*b146
     *b271 + 12*b146*b276 + 10*b146*b283 + 22*b146*b285 + 16*b146*b287 + 14*
     b146*b288 + 54*b146*b289 + 42*b146*b290 + 20*b146*b291 + 23*b146*b293 + 55
     *b146*b295 + 19*b146*b296 + 53*b146*b298 + 31*b146*b301 + 98*b146*b302 + 
     37*b146*b303 + 31*b146*b306 + 31*b146*b513 + 44*b146*b519 + 16*b146*b520
      + 25*b146*b521 + 28*b146*b523 + 25*b146*b524 + 27*b146*b525 + 2*b146*b526
      + 5*b146*b528 + 83*b146*b530 + 56*b146*b536 + 71*b146*b537 + 5*b146*b538
      + 2*b146*b542 + b146*b545 + 9*b146*b547 + 37*b146*b548 + 44*b146*b554 + 
     58*b146*b556 + 29*b146*b557 + 5*b146*b558 + 26*b146*b559 + 66*b146*b564 + 
     187*b146*b565 + 123*b146*b567 + 10*b146*b568 + 80*b146*b569 + 14*b146*b570
      + 23*b146*b571 + 38*b146*b572 + 33*b146*b573 + 11*b146*b575 + 48*b146*
     b576 + 50*b146*b577 + 13*b146*b578 + 18*b146*b579 + 23*b146*b581 + 70*b146
     *b582 + 78*b146*b585 + 2*b146*b586 + 5*b146*b589 + 62*b146*b591 + 37*b146*
     b592 + 18*b146*b596 + 30*b146*b598 + 24*b146*b601 + 43*b146*b605 + 34*b146
     *b608 + 28*b146*b613 + 56*b146*b615 + 23*b147*b237 + 59*b147*b249 + 21*
     b147*b252 + 2*b147*b255 + 41*b147*b256 + 28*b147*b260 + 36*b147*b261 + 38*
     b147*b267 + 64*b147*b270 + 47*b147*b272 + 10*b147*b275 + 26*b147*b276 + 75
     *b147*b281 + 34*b147*b283 + 22*b147*b286 + 113*b147*b287 + 6*b147*b292 + 
     10*b147*b293 + 34*b147*b294 + 22*b147*b295 + 7*b147*b296 + 23*b147*b299 + 
     33*b147*b300 + 16*b147*b303 + 142*b147*b307 + 201*b147*b308 + 220*b147*
     b309 + 23*b147*b511 + 41*b147*b514 + 36*b147*b515 + 64*b147*b518 + 47*b147
     *b519 + 26*b147*b522 + 75*b147*b525 + 34*b147*b527 + 22*b147*b530 + 113*
     b147*b531 + 10*b147*b533 + 22*b147*b534 + 7*b147*b535 + 23*b147*b537 + 13*
     b147*b538 + 8*b147*b539 + 116*b147*b541 + 41*b147*b544 + 38*b147*b545 + 33
     *b147*b551 + 6*b147*b554 + 8*b147*b555 + 62*b147*b556 + 66*b147*b557 + 5*
     b147*b558 + 22*b147*b560 + 7*b147*b561 + 26*b147*b562 + 7*b147*b564 + 33*
     b147*b565 + 142*b147*b568 + 201*b147*b569 + 220*b147*b570 + 59*b147*b573
      + 10*b147*b578 + 6*b147*b581 + 34*b147*b582 + 2*b147*b588 + 32*b147*b590
      + 23*b147*b591 + 12*b147*b592 + 57*b147*b593 + 12*b147*b595 + 6*b147*b596
      + 20*b147*b598 + 2*b147*b607 + 6*b147*b608 + 16*b147*b609 + 28*b147*b611
      + 38*b147*b613 + 9*b147*b615 + 21*b147*b616 + 2*b147*b617 + 23*b148*b224
      + 3*b148*b256 + 24*b148*b259 + 166*b148*b263 + 13*b148*b269 + 25*b148*
     b272 + 23*b148*b273 + 13*b148*b276 + 25*b148*b279 + 13*b148*b280 + b148*
     b286 + 15*b148*b289 + 39*b148*b294 + 88*b148*b295 + 42*b148*b297 + 148*
     b148*b301 + 184*b148*b303 + 49*b148*b304 + 168*b148*b305 + 54*b148*b309 + 
     3*b148*b514 + 166*b148*b516 + 25*b148*b519 + 23*b148*b520 + 13*b148*b522
      + b148*b530 + 88*b148*b534 + 42*b148*b536 + 33*b148*b538 + 14*b148*b542
      + 62*b148*b543 + 23*b148*b544 + 45*b148*b545 + 66*b148*b547 + 4*b148*b553
      + 32*b148*b554 + 14*b148*b555 + 57*b148*b563 + 49*b148*b567 + 54*b148*
     b570 + 23*b148*b571 + 24*b148*b575 + 13*b148*b577 + 25*b148*b579 + 39*b148
     *b582 + 148*b148*b584 + 168*b148*b585 + 12*b148*b586 + 7*b148*b590 + 60*
     b148*b595 + 13*b148*b601 + 16*b148*b604 + 23*b148*b605 + 3*b148*b606 + 5*
     b148*b607 + 64*b148*b608 + 184*b148*b609 + 15*b148*b614 + 30*b149*b237 + 
     b149*b246 + 47*b149*b255 + 7*b149*b259 + 42*b149*b260 + 53*b149*b261 + 6*
     b149*b262 + 145*b149*b263 + 44*b149*b264 + 71*b149*b267 + 63*b149*b270 + 
     12*b149*b272 + 27*b149*b273 + 28*b149*b274 + 26*b149*b275 + 44*b149*b277
      + 11*b149*b278 + 19*b149*b280 + 28*b149*b281 + 21*b149*b284 + 12*b149*
     b285 + 21*b149*b286 + 4*b149*b287 + 81*b149*b288 + 12*b149*b293 + 67*b149*
     b296 + 17*b149*b299 + 71*b149*b300 + 91*b149*b302 + 107*b149*b303 + 186*
     b149*b307 + 42*b149*b308 + 39*b149*b309 + 26*b149*b512 + 107*b149*b513 + 
     b149*b514 + 14*b149*b522 + 9*b149*b526 + 13*b149*b527 + 14*b149*b534 + 18*
     b149*b536 + 3*b149*b544 + 27*b149*b547 + 24*b149*b555 + 7*b149*b559 + 58*
     b149*b560 + 10*b149*b563 + 108*b149*b567 + 52*b149*b573 + 11*b149*b574 + 6
     *b149*b576 + 23*b149*b577 + 6*b149*b579 + 2*b149*b580 + 90*b149*b581 + 20*
     b149*b582 + 3*b149*b583 + 93*b149*b584 + 82*b149*b585 + 22*b149*b587 + 41*
     b149*b593 + 26*b149*b594 + 27*b149*b597 + 33*b149*b598 + 16*b149*b599 + 31
     *b149*b600 + 7*b149*b602 + 3*b149*b603 + 15*b149*b605 + 32*b149*b607 + 76*
     b149*b610 + 35*b149*b614 + 21*b149*b616 + 14*b149*b618 + 16*b150*b224 + 
     101*b150*b237 + 11*b150*b249 + 20*b150*b252 + 63*b150*b253 + 3*b150*b254
      + 24*b150*b255 + 3*b150*b257 + 8*b150*b260 + 15*b150*b261 + 28*b150*b262
      + 67*b150*b263 + 4*b150*b264 + 5*b150*b267 + 6*b150*b268 + 14*b150*b271
      + 16*b150*b272 + 23*b150*b273 + 145*b150*b276 + 12*b150*b278 + 3*b150*
     b280 + 3*b150*b282 + 85*b150*b284 + 35*b150*b289 + 5*b150*b290 + 175*b150*
     b291 + 20*b150*b293 + 37*b150*b294 + 71*b150*b298 + 27*b150*b299 + 48*b150
     *b301 + 232*b150*b303 + 41*b150*b306 + 19*b150*b307 + 8*b150*b308 + 82*
     b150*b309 + 5*b150*b514 + 28*b150*b518 + 31*b150*b521 + 27*b150*b523 + 56*
     b150*b525 + 41*b150*b527 + 23*b150*b529 + 9*b150*b530 + 11*b150*b531 + 30*
     b150*b532 + 32*b150*b534 + 29*b150*b535 + 27*b150*b536 + b150*b539 + 4*
     b150*b541 + 24*b150*b542 + 7*b150*b543 + 9*b150*b544 + 13*b150*b547 + 18*
     b150*b550 + 74*b150*b551 + 14*b150*b552 + 48*b150*b553 + 13*b150*b554 + 16
     *b150*b556 + 11*b150*b557 + 15*b150*b559 + 23*b150*b560 + 27*b150*b563 + 
     31*b150*b564 + 4*b150*b565 + 52*b150*b566 + 42*b150*b567 + 18*b150*b572 + 
     5*b150*b575 + 40*b150*b576 + 6*b150*b577 + 10*b150*b578 + 5*b150*b579 + 5*
     b150*b581 + 30*b150*b585 + 23*b150*b586 + 29*b150*b587 + 32*b150*b588 + 2*
     b150*b590 + 26*b150*b591 + 9*b150*b592 + 61*b150*b593 + 21*b150*b594 + 15*
     b150*b595 + 28*b150*b596 + 30*b150*b597 + 45*b150*b598 + 6*b150*b599 + 22*
     b150*b603 + 18*b150*b604 + 13*b150*b606 + 2*b150*b607 + 24*b150*b608 + 2*
     b151*b246 + 34*b151*b249 + 6*b151*b253 + 12*b151*b261 + 10*b151*b262 + 25*
     b151*b264 + 5*b151*b265 + b151*b270 + 27*b151*b272 + 30*b151*b273 + 21*
     b151*b274 + 153*b151*b275 + 17*b151*b276 + 35*b151*b277 + 88*b151*b278 + 
     24*b151*b282 + 20*b151*b285 + 19*b151*b287 + 25*b151*b289 + 23*b151*b291
      + 19*b151*b294 + 3*b151*b295 + 63*b151*b300 + 77*b151*b304 + 7*b151*b309
      + 36*b151*b511 + 11*b151*b513 + 14*b151*b516 + 13*b151*b525 + 6*b151*b527
      + 37*b151*b528 + 13*b151*b530 + 88*b151*b533 + 9*b151*b535 + 31*b151*b536
      + 60*b151*b537 + 12*b151*b541 + 46*b151*b543 + 35*b151*b544 + 5*b151*b545
      + 10*b151*b548 + 4*b151*b551 + 79*b151*b553 + 5*b151*b554 + 64*b151*b555
      + b151*b558 + 8*b151*b559 + 14*b151*b564 + 14*b151*b566 + 29*b151*b568 + 
     29*b151*b569 + 2*b151*b571 + 27*b151*b575 + 16*b151*b576 + 21*b151*b581 + 
     51*b151*b583 + 140*b151*b584 + 30*b151*b585 + 60*b151*b587 + 10*b151*b590
      + 4*b151*b591 + 14*b151*b593 + 32*b151*b598 + b151*b600 + 97*b151*b601 + 
     12*b151*b602 + b151*b604 + 9*b151*b607 + 116*b151*b609 + 223*b151*b610 + 
     21*b151*b611 + 30*b151*b613 + 15*b151*b616 + 42*b151*b617 + 5*b151*b618 + 
     42*b152*b252 + 56*b152*b259 + 20*b152*b260 + 5*b152*b261 + b152*b266 + 8*
     b152*b267 + 22*b152*b268 + 36*b152*b270 + 2*b152*b274 + 27*b152*b276 + 21*
     b152*b278 + b152*b279 + 21*b152*b281 + 30*b152*b285 + 59*b152*b286 + b152*
     b288 + 31*b152*b290 + 17*b152*b292 + 23*b152*b297 + 17*b152*b298 + 17*b152
     *b299 + 110*b152*b300 + 336*b152*b302 + 43*b152*b303 + 146*b152*b304 + 61*
     b152*b305 + 29*b152*b307 + 89*b152*b308 + 35*b152*b309 + 8*b152*b511 + 26*
     b152*b512 + 30*b152*b513 + 31*b152*b514 + 26*b152*b516 + 5*b152*b517 + 8*
     b152*b519 + 43*b152*b520 + 67*b152*b523 + 47*b152*b526 + 8*b152*b527 + 9*
     b152*b528 + 49*b152*b531 + 80*b152*b533 + 34*b152*b534 + 40*b152*b535 + 2*
     b152*b540 + 151*b152*b544 + 3*b152*b546 + b152*b551 + 6*b152*b552 + 5*b152
     *b554 + 126*b152*b555 + 17*b152*b556 + 30*b152*b557 + 12*b152*b560 + 25*
     b152*b564 + 24*b152*b571 + 4*b152*b572 + 93*b152*b573 + 30*b152*b574 + 11*
     b152*b577 + 6*b152*b578 + 20*b152*b580 + 12*b152*b582 + 19*b152*b584 + 191
     *b152*b587 + 4*b152*b593 + 21*b152*b595 + 66*b152*b598 + 28*b152*b599 + 38
     *b152*b601 + 6*b152*b603 + 41*b152*b605 + 38*b152*b607 + 470*b152*b610 + 
     19*b152*b612 + 12*b152*b614 + 51*b152*b617 + 10*b152*b618 + 34*b153*b237
      + 20*b153*b249 + 23*b153*b260 + 7*b153*b261 + 72*b153*b264 + 23*b153*b265
      + 59*b153*b267 + 29*b153*b270 + 29*b153*b273 + 14*b153*b277 + b153*b279
      + 32*b153*b281 + 82*b153*b285 + 39*b153*b288 + 14*b153*b290 + 47*b153*
     b303 + 38*b153*b309 + 30*b153*b512 + 44*b153*b513 + 72*b153*b514 + 19*b153
     *b516 + 6*b153*b522 + 26*b153*b524 + 25*b153*b527 + 19*b153*b528 + 15*b153
     *b530 + 50*b153*b531 + 7*b153*b533 + 35*b153*b534 + b153*b535 + 4*b153*
     b536 + 7*b153*b537 + 16*b153*b541 + 11*b153*b545 + 38*b153*b546 + 4*b153*
     b547 + 73*b153*b550 + 53*b153*b551 + 100*b153*b556 + 64*b153*b559 + 12*
     b153*b560 + 15*b153*b561 + 108*b153*b563 + 12*b153*b565 + 160*b153*b566 + 
     50*b153*b567 + 97*b153*b568 + 142*b153*b569 + 12*b153*b571 + 5*b153*b572
      + 66*b153*b574 + 25*b153*b575 + 4*b153*b576 + 2*b153*b577 + 23*b153*b578
      + 25*b153*b580 + 11*b153*b581 + 39*b153*b582 + 14*b153*b584 + 14*b153*
     b585 + 28*b153*b589 + 26*b153*b598 + 81*b153*b600 + 36*b153*b601 + 132*
     b153*b603 + 15*b153*b605 + 4*b153*b606 + 142*b153*b610 + 68*b153*b612 + 65
     *b153*b614 + 3*b153*b615 + b153*b616 + 17*b153*b617 + 61*b153*b618 + 20*
     b154*b246 + 13*b154*b249 + 15*b154*b252 + 51*b154*b253 + 28*b154*b256 + 24
     *b154*b257 + 3*b154*b261 + 51*b154*b262 + 66*b154*b270 + 40*b154*b274 + 6*
     b154*b275 + 7*b154*b280 + 11*b154*b283 + 8*b154*b284 + 24*b154*b286 + 79*
     b154*b288 + 11*b154*b289 + 20*b154*b296 + 207*b154*b300 + 59*b154*b301 + 
     98*b154*b302 + 284*b154*b309 + 93*b154*b513 + 71*b154*b516 + 15*b154*b517
      + 13*b154*b519 + 13*b154*b520 + 69*b154*b523 + 6*b154*b524 + 8*b154*b525
      + 52*b154*b526 + b154*b529 + 12*b154*b531 + 18*b154*b533 + b154*b534 + 5*
     b154*b536 + 12*b154*b537 + 12*b154*b541 + 23*b154*b542 + 33*b154*b547 + 32
     *b154*b551 + 23*b154*b553 + 46*b154*b554 + 38*b154*b558 + 13*b154*b559 + 
     213*b154*b560 + 64*b154*b562 + 153*b154*b564 + 4*b154*b567 + 102*b154*b568
      + 98*b154*b569 + 76*b154*b571 + 17*b154*b575 + 28*b154*b576 + 14*b154*
     b577 + 45*b154*b579 + 10*b154*b580 + 37*b154*b582 + 159*b154*b585 + 12*
     b154*b586 + 179*b154*b588 + 72*b154*b591 + 14*b154*b594 + 15*b154*b595 + 
     14*b154*b597 + 11*b154*b599 + 27*b154*b600 + 31*b154*b603 + 13*b154*b604
      + 187*b154*b608 + 349*b154*b609 + 3*b154*b610 + 97*b154*b611 + 59*b154*
     b613 + 7*b154*b615 + 78*b154*b617 + 35*b154*b618 + 11*b155*b224 + 9*b155*
     b246 + 7*b155*b249 + 6*b155*b252 + 9*b155*b254 + 2*b155*b260 + 18*b155*
     b261 + 10*b155*b263 + 21*b155*b265 + 20*b155*b267 + 14*b155*b269 + 12*b155
     *b271 + 11*b155*b272 + 12*b155*b275 + 54*b155*b276 + 70*b155*b277 + 18*
     b155*b279 + 25*b155*b281 + 24*b155*b282 + 3*b155*b285 + 5*b155*b286 + 8*
     b155*b287 + 21*b155*b290 + 48*b155*b299 + 82*b155*b300 + 114*b155*b304 + 
     273*b155*b305 + 209*b155*b309 + 100*b155*b511 + 4*b155*b512 + 34*b155*b514
      + 10*b155*b517 + 8*b155*b518 + 5*b155*b520 + 19*b155*b521 + 79*b155*b524
      + 15*b155*b527 + 177*b155*b528 + 4*b155*b532 + 18*b155*b533 + b155*b534
      + 9*b155*b535 + 51*b155*b536 + 11*b155*b540 + 6*b155*b544 + 4*b155*b546
      + 20*b155*b548 + b155*b549 + 2*b155*b551 + 81*b155*b553 + 2*b155*b555 + 
     133*b155*b557 + 5*b155*b558 + 14*b155*b559 + 6*b155*b562 + 5*b155*b563 + 
     58*b155*b566 + 91*b155*b568 + 225*b155*b569 + b155*b574 + 5*b155*b575 + 66
     *b155*b580 + 44*b155*b583 + 414*b155*b584 + 34*b155*b587 + 19*b155*b588 + 
     100*b155*b589 + 2*b155*b590 + 22*b155*b594 + 33*b155*b597 + 9*b155*b598 + 
     b155*b600 + 187*b155*b601 + 35*b155*b605 + 37*b155*b609 + 347*b155*b610 + 
     32*b155*b612 + 6*b155*b614 + 2*b155*b615 + 23*b155*b617 + 24*b156*b224 + 
     10*b156*b237 + 56*b156*b246 + 92*b156*b249 + 11*b156*b253 + 46*b156*b254
      + 7*b156*b260 + 9*b156*b263 + 57*b156*b265 + 6*b156*b267 + 40*b156*b269
      + 24*b156*b271 + 92*b156*b275 + 39*b156*b277 + 58*b156*b278 + 131*b156*
     b282 + 5*b156*b284 + 2*b156*b285 + 28*b156*b286 + 12*b156*b288 + 17*b156*
     b290 + 14*b156*b292 + 35*b156*b295 + 76*b156*b304 + 258*b156*b306 + 29*
     b156*b514 + 5*b156*b517 + 25*b156*b518 + 29*b156*b519 + 7*b156*b520 + 22*
     b156*b521 + 22*b156*b522 + 28*b156*b525 + 35*b156*b527 + 20*b156*b531 + 
     121*b156*b533 + 5*b156*b535 + 24*b156*b536 + 23*b156*b537 + 22*b156*b539
      + 5*b156*b541 + 56*b156*b544 + 49*b156*b547 + 73*b156*b548 + 32*b156*b551
      + 12*b156*b553 + 5*b156*b554 + 19*b156*b557 + 26*b156*b558 + 30*b156*b559
      + 12*b156*b563 + 9*b156*b564 + 23*b156*b565 + 327*b156*b566 + 43*b156*
     b568 + 54*b156*b569 + 64*b156*b570 + 16*b156*b574 + 24*b156*b575 + 8*b156*
     b576 + 10*b156*b579 + 19*b156*b580 + 44*b156*b582 + 57*b156*b583 + 24*b156
     *b584 + 58*b156*b585 + 71*b156*b588 + 7*b156*b590 + 21*b156*b592 + 17*b156
     *b594 + 17*b156*b596 + 24*b156*b600 + 33*b156*b604 + 49*b156*b606 + 216*
     b156*b609 + 10*b156*b612 + 17*b156*b614 + 113*b156*b616 + 148*b156*b617 + 
     b157*b237 + 10*b157*b246 + 22*b157*b259 + 66*b157*b272 + 6*b157*b273 + 23*
     b157*b276 + 56*b157*b277 + 8*b157*b286 + 14*b157*b295 + 5*b157*b298 + b157
     *b302 + 7*b157*b304 + 15*b157*b305 + 4*b157*b308 + b157*b511 + 66*b157*
     b519 + 6*b157*b520 + 23*b157*b522 + 56*b157*b523 + 8*b157*b530 + 14*b157*
     b534 + 10*b157*b538 + 51*b157*b539 + 2*b157*b542 + 24*b157*b545 + 109*b157
     *b550 + 5*b157*b561 + b157*b566 + 7*b157*b567 + 4*b157*b569 + 10*b157*b572
      + 22*b157*b575 + 5*b157*b583 + 15*b157*b585 + 6*b157*b592 + 12*b157*b603
      + 30*b157*b604 + 8*b157*b606 + 48*b158*b237 + 25*b158*b246 + 7*b158*b254
      + 5*b158*b255 + 9*b158*b256 + 22*b158*b257 + 40*b158*b262 + 20*b158*b263
      + 25*b158*b267 + 10*b158*b269 + 31*b158*b273 + 53*b158*b275 + 8*b158*b281
      + b158*b282 + 75*b158*b283 + 49*b158*b291 + 6*b158*b293 + 79*b158*b295 + 
     15*b158*b299 + 26*b158*b300 + 55*b158*b302 + 10*b158*b304 + 223*b158*b307
      + 29*b158*b512 + 109*b158*b515 + 10*b158*b517 + 31*b158*b518 + 29*b158*
     b519 + b158*b521 + 67*b158*b522 + 23*b158*b523 + 2*b158*b524 + 15*b158*
     b528 + 46*b158*b529 + 8*b158*b530 + 12*b158*b531 + 61*b158*b532 + 52*b158*
     b535 + 8*b158*b536 + 22*b158*b541 + 4*b158*b545 + 5*b158*b552 + 42*b158*
     b554 + 12*b158*b555 + 18*b158*b557 + b158*b559 + 72*b158*b563 + 148*b158*
     b569 + 75*b158*b570 + 41*b158*b571 + 33*b158*b573 + 12*b158*b575 + 11*b158
     *b576 + 7*b158*b579 + 30*b158*b582 + 28*b158*b583 + 60*b158*b584 + 27*b158
     *b585 + 17*b158*b588 + 52*b158*b589 + 10*b158*b590 + 119*b158*b593 + 37*
     b158*b594 + 60*b158*b597 + 26*b158*b598 + 39*b158*b599 + 2*b158*b600 + 45*
     b158*b601 + 61*b158*b602 + 25*b158*b603 + 26*b158*b604 + 15*b158*b606 + 15
     *b158*b607 + 176*b158*b609 + 20*b158*b610 + 28*b158*b611 + 26*b158*b614 + 
     25*b158*b616 + 14*b158*b618 + 30*b159*b224 + 157*b159*b253 + 32*b159*b254
      + 3*b159*b255 + 77*b159*b256 + 26*b159*b257 + 14*b159*b260 + 15*b159*b262
      + 2*b159*b265 + 93*b159*b270 + 6*b159*b271 + 10*b159*b272 + 24*b159*b278
      + 100*b159*b283 + 20*b159*b284 + 20*b159*b285 + 3*b159*b286 + b159*b290
      + 46*b159*b291 + 44*b159*b295 + 116*b159*b296 + 32*b159*b298 + 15*b159*
     b299 + 32*b159*b300 + 195*b159*b301 + 44*b159*b302 + 30*b159*b303 + 128*
     b159*b304 + 256*b159*b305 + 150*b159*b306 + 132*b159*b309 + 34*b159*b511
      + 52*b159*b515 + 88*b159*b516 + 37*b159*b517 + 24*b159*b520 + 49*b159*
     b521 + 20*b159*b522 + 5*b159*b523 + b159*b525 + 8*b159*b526 + 8*b159*b531
      + 95*b159*b532 + 26*b159*b533 + 34*b159*b536 + 34*b159*b540 + 35*b159*
     b541 + 69*b159*b543 + 17*b159*b547 + 43*b159*b549 + 22*b159*b550 + 120*
     b159*b552 + 23*b159*b556 + 2*b159*b558 + 33*b159*b561 + 12*b159*b562 + 26*
     b159*b563 + 82*b159*b568 + 176*b159*b569 + 13*b159*b572 + 3*b159*b573 + 49
     *b159*b575 + 8*b159*b576 + 61*b159*b577 + 30*b159*b578 + 21*b159*b579 + 21
     *b159*b581 + 2*b159*b582 + 63*b159*b586 + 32*b159*b588 + 5*b159*b590 + 155
     *b159*b591 + 46*b159*b593 + 2*b159*b596 + 14*b159*b597 + 17*b159*b600 + 15
     *b159*b605 + 84*b159*b613 + 60*b159*b614 + 45*b159*b616 + 23*b160*b246 + 9
     *b160*b254 + 2*b160*b255 + 3*b160*b256 + 61*b160*b260 + 25*b160*b261 + 8*
     b160*b262 + 13*b160*b264 + 24*b160*b269 + b160*b271 + 44*b160*b275 + 8*
     b160*b279 + 25*b160*b281 + 51*b160*b282 + 64*b160*b283 + 41*b160*b284 + 30
     *b160*b288 + 47*b160*b290 + b160*b291 + 2*b160*b295 + 8*b160*b298 + 37*
     b160*b301 + 68*b160*b302 + 155*b160*b304 + 179*b160*b305 + 48*b160*b512 + 
     2*b160*b516 + 5*b160*b518 + 8*b160*b520 + 17*b160*b521 + 20*b160*b522 + 21
     *b160*b523 + 9*b160*b524 + 23*b160*b529 + 44*b160*b530 + 32*b160*b531 + 37
     *b160*b535 + 16*b160*b536 + 5*b160*b537 + 84*b160*b538 + 22*b160*b539 + 6*
     b160*b541 + 53*b160*b543 + 20*b160*b544 + 42*b160*b550 + 34*b160*b552 + 11
     *b160*b556 + 48*b160*b557 + b160*b558 + 24*b160*b559 + 60*b160*b560 + 54*
     b160*b561 + 86*b160*b562 + 97*b160*b564 + 67*b160*b565 + 71*b160*b568 + 
     b160*b569 + 195*b160*b570 + 28*b160*b571 + 5*b160*b573 + 40*b160*b574 + 36
     *b160*b581 + 7*b160*b582 + 44*b160*b587 + 7*b160*b590 + 96*b160*b591 + 31*
     b160*b592 + 45*b160*b598 + 20*b160*b599 + 46*b160*b600 + 13*b160*b601 + 17
     *b160*b603 + 3*b160*b604 + 28*b160*b605 + 21*b160*b607 + 26*b160*b609 + 
     211*b160*b610 + 10*b160*b613 + 9*b160*b614 + 13*b160*b615 + 50*b160*b616
      + 17*b161*b246 + 3*b161*b254 + 14*b161*b255 + 28*b161*b257 + 7*b161*b259
      + 12*b161*b262 + 100*b161*b265 + 40*b161*b266 + 100*b161*b267 + 12*b161*
     b269 + 49*b161*b270 + 13*b161*b271 + 53*b161*b276 + 6*b161*b278 + 43*b161*
     b280 + 21*b161*b282 + 54*b161*b283 + 16*b161*b284 + 9*b161*b287 + 54*b161*
     b288 + 104*b161*b290 + 2*b161*b291 + 11*b161*b293 + 6*b161*b296 + 21*b161*
     b302 + 16*b161*b304 + 77*b161*b306 + 187*b161*b307 + 51*b161*b308 + 82*
     b161*b511 + 147*b161*b512 + 17*b161*b514 + 108*b161*b515 + 47*b161*b516 + 
     32*b161*b517 + 5*b161*b519 + 21*b161*b520 + 19*b161*b521 + 44*b161*b523 + 
     11*b161*b525 + 118*b161*b529 + 4*b161*b534 + 13*b161*b536 + 5*b161*b537 + 
     38*b161*b543 + 2*b161*b544 + 42*b161*b545 + 51*b161*b547 + 124*b161*b548
      + 32*b161*b549 + 12*b161*b553 + 22*b161*b556 + 115*b161*b559 + 43*b161*
     b561 + 36*b161*b562 + b161*b564 + 21*b161*b565 + 145*b161*b570 + 69*b161*
     b571 + 34*b161*b573 + 17*b161*b578 + 25*b161*b579 + 7*b161*b581 + 46*b161*
     b582 + 19*b161*b583 + 29*b161*b584 + 9*b161*b585 + 9*b161*b587 + 5*b161*
     b588 + 14*b161*b590 + 3*b161*b591 + 11*b161*b593 + 23*b161*b600 + 23*b161*
     b603 + 25*b161*b604 + 33*b161*b605 + 10*b161*b606 + 9*b161*b607 + 73*b161*
     b609 + 14*b161*b611 + 13*b161*b614 + 17*b161*b616 + 45*b162*b237 + 147*
     b162*b253 + 19*b162*b254 + b162*b255 + 53*b162*b256 + 11*b162*b257 + 3*
     b162*b260 + 29*b162*b261 + 44*b162*b266 + 102*b162*b270 + 24*b162*b276 + 
     27*b162*b278 + 7*b162*b280 + 3*b162*b281 + 197*b162*b283 + 36*b162*b288 + 
     97*b162*b296 + 19*b162*b298 + 19*b162*b299 + 32*b162*b300 + 211*b162*b301
      + 127*b162*b302 + 30*b162*b304 + 257*b162*b305 + 156*b162*b306 + 190*b162
     *b309 + 64*b162*b516 + 46*b162*b517 + b162*b519 + 34*b162*b520 + 14*b162*
     b521 + 48*b162*b523 + 6*b162*b526 + 69*b162*b528 + 19*b162*b529 + 16*b162*
     b530 + 8*b162*b531 + 12*b162*b533 + 160*b162*b534 + 5*b162*b536 + 48*b162*
     b538 + 14*b162*b539 + 18*b162*b541 + 79*b162*b543 + 16*b162*b549 + 25*b162
     *b551 + 30*b162*b552 + 18*b162*b555 + 8*b162*b557 + 21*b162*b558 + 41*b162
     *b559 + 4*b162*b560 + 86*b162*b562 + 13*b162*b563 + 45*b162*b564 + 120*
     b162*b568 + 201*b162*b569 + 95*b162*b571 + 20*b162*b572 + 14*b162*b573 + 
     16*b162*b575 + 58*b162*b577 + 16*b162*b578 + 23*b162*b579 + 28*b162*b580
      + 2*b162*b581 + 6*b162*b582 + 66*b162*b586 + 80*b162*b591 + 5*b162*b594
      + 42*b162*b597 + 12*b162*b599 + 25*b162*b600 + 10*b162*b602 + 22*b162*
     b604 + 10*b162*b606 + b162*b607 + 11*b162*b608 + 37*b162*b609 + 2*b162*
     b612 + 138*b162*b613 + 48*b162*b614 + 34*b162*b616 + 102*b162*b618 + 42*
     b163*b246 + 6*b163*b249 + 98*b163*b256 + 11*b163*b257 + 19*b163*b259 + 32*
     b163*b262 + 92*b163*b264 + 15*b163*b266 + 24*b163*b267 + 33*b163*b276 + 11
     *b163*b277 + 2*b163*b279 + 10*b163*b280 + 14*b163*b282 + 55*b163*b283 + 12
     *b163*b284 + 44*b163*b286 + 55*b163*b288 + 93*b163*b289 + 61*b163*b296 + 
     11*b163*b297 + 24*b163*b298 + 27*b163*b299 + 4*b163*b302 + 34*b163*b303 + 
     4*b163*b304 + 41*b163*b305 + 66*b163*b306 + 110*b163*b309 + 92*b163*b511
      + 77*b163*b512 + 15*b163*b513 + 90*b163*b515 + 67*b163*b516 + 9*b163*b519
      + 23*b163*b520 + 11*b163*b521 + 45*b163*b524 + 19*b163*b525 + 63*b163*
     b529 + 27*b163*b531 + 6*b163*b533 + 89*b163*b534 + 18*b163*b539 + 4*b163*
     b542 + 171*b163*b545 + 8*b163*b546 + 67*b163*b549 + 40*b163*b550 + 21*b163
     *b555 + 7*b163*b556 + 49*b163*b558 + 6*b163*b559 + 77*b163*b561 + 2*b163*
     b563 + 172*b163*b565 + 142*b163*b568 + 104*b163*b569 + 19*b163*b571 + 16*
     b163*b577 + 23*b163*b578 + 5*b163*b580 + 45*b163*b581 + 8*b163*b582 + 12*
     b163*b584 + 50*b163*b586 + 19*b163*b588 + 2*b163*b589 + 21*b163*b592 + 30*
     b163*b593 + b163*b594 + 16*b163*b596 + 3*b163*b597 + 2*b163*b598 + 49*b163
     *b599 + 23*b163*b600 + 14*b163*b602 + 3*b163*b603 + 39*b163*b604 + 12*b163
     *b605 + 26*b163*b606 + 4*b163*b607 + 25*b163*b611 + 12*b163*b615 + 8*b163*
     b616 + 13*b163*b617 + 53*b163*b618 + 14*b164*b237 + 18*b164*b246 + 40*b164
     *b254 + 99*b164*b255 + 27*b164*b256 + 63*b164*b259 + 100*b164*b260 + 28*
     b164*b261 + 18*b164*b265 + 15*b164*b266 + 56*b164*b267 + 51*b164*b268 + 38
     *b164*b269 + 39*b164*b270 + 59*b164*b276 + 14*b164*b278 + 112*b164*b282 + 
     35*b164*b291 + 15*b164*b295 + 29*b164*b296 + 5*b164*b297 + 15*b164*b298 + 
     37*b164*b299 + 68*b164*b300 + 326*b164*b302 + 67*b164*b303 + 2*b164*b308
      + 421*b164*b309 + 35*b164*b512 + 38*b164*b516 + 15*b164*b517 + 46*b164*
     b519 + 39*b164*b520 + 23*b164*b521 + 14*b164*b523 + 33*b164*b525 + b164*
     b527 + 64*b164*b528 + 27*b164*b529 + 14*b164*b530 + 19*b164*b531 + 20*b164
     *b532 + 89*b164*b533 + 16*b164*b545 + 13*b164*b546 + 5*b164*b548 + 30*b164
     *b551 + 32*b164*b553 + 21*b164*b554 + 134*b164*b555 + 42*b164*b556 + 6*
     b164*b559 + 19*b164*b561 + 49*b164*b562 + 294*b164*b567 + 69*b164*b568 + 
     41*b164*b571 + 51*b164*b573 + 13*b164*b574 + 67*b164*b578 + 3*b164*b579 + 
     86*b164*b581 + 19*b164*b582 + 83*b164*b584 + 100*b164*b585 + 7*b164*b591
      + 43*b164*b593 + 50*b164*b596 + 17*b164*b597 + 22*b164*b598 + 7*b164*b601
      + 53*b164*b602 + 35*b164*b603 + 86*b164*b605 + 53*b164*b606 + 14*b164*
     b610 + 17*b164*b612 + 30*b164*b615 + 165*b164*b616 + 11*b164*b618 + 8*b165
     *b224 + 22*b165*b253 + 26*b165*b254 + 64*b165*b261 + 46*b165*b264 + 10*
     b165*b266 + 21*b165*b268 + 70*b165*b270 + 35*b165*b271 + 2*b165*b272 + 15*
     b165*b276 + 33*b165*b282 + 59*b165*b286 + 20*b165*b287 + 22*b165*b288 + 48
     *b165*b289 + 27*b165*b291 + 11*b165*b294 + 43*b165*b296 + 27*b165*b299 + 
     250*b165*b300 + 78*b165*b301 + 44*b165*b303 + 122*b165*b306 + 150*b165*
     b307 + 152*b165*b309 + 3*b165*b511 + 23*b165*b514 + 58*b165*b516 + 5*b165*
     b520 + 46*b165*b521 + 105*b165*b523 + 45*b165*b524 + 53*b165*b525 + 2*b165
     *b527 + 55*b165*b528 + 30*b165*b529 + 47*b165*b533 + 39*b165*b534 + b165*
     b536 + 32*b165*b543 + 10*b165*b546 + 14*b165*b551 + 4*b165*b552 + 26*b165*
     b553 + 71*b165*b555 + 32*b165*b558 + 10*b165*b559 + 42*b165*b562 + 40*b165
     *b566 + 25*b165*b567 + 45*b165*b569 + 3*b165*b572 + 45*b165*b573 + 47*b165
     *b574 + 19*b165*b575 + 59*b165*b578 + 31*b165*b579 + 75*b165*b581 + 45*
     b165*b583 + 23*b165*b585 + 3*b165*b586 + 11*b165*b588 + 79*b165*b589 + 24*
     b165*b591 + 52*b165*b592 + 10*b165*b593 + 54*b165*b595 + 64*b165*b596 + 52
     *b165*b597 + 17*b165*b599 + 7*b165*b602 + 20*b165*b603 + 49*b165*b604 + 28
     *b165*b606 + 3*b165*b607 + 31*b165*b611 + 12*b165*b612 + 47*b165*b613 + 7*
     b165*b615 + 25*b165*b616 + 8*b165*b617 + 34*b166*b224 + 3*b166*b249 + 90*
     b166*b252 + 101*b166*b255 + 10*b166*b257 + 15*b166*b259 + 12*b166*b262 + 
     28*b166*b265 + 18*b166*b266 + 2*b166*b274 + 36*b166*b276 + 6*b166*b277 + 
     75*b166*b278 + 11*b166*b279 + 20*b166*b281 + 19*b166*b284 + 16*b166*b285
      + 31*b166*b289 + 4*b166*b291 + 15*b166*b294 + 3*b166*b296 + 55*b166*b298
      + 55*b166*b301 + 80*b166*b303 + 31*b166*b305 + 216*b166*b306 + b166*b307
      + 66*b166*b308 + 46*b166*b512 + 166*b166*b513 + 29*b166*b514 + 36*b166*
     b515 + 72*b166*b516 + 14*b166*b518 + 13*b166*b519 + 33*b166*b520 + 93*b166
     *b526 + 84*b166*b530 + 11*b166*b531 + 63*b166*b532 + 8*b166*b533 + 49*b166
     *b534 + 25*b166*b536 + 66*b166*b537 + 48*b166*b538 + 3*b166*b539 + 11*b166
     *b540 + 108*b166*b542 + 69*b166*b543 + 38*b166*b545 + 34*b166*b546 + 5*
     b166*b547 + 74*b166*b548 + 51*b166*b549 + 29*b166*b550 + 5*b166*b551 + 23*
     b166*b555 + 43*b166*b557 + 26*b166*b559 + 83*b166*b562 + 48*b166*b564 + 
     128*b166*b565 + 136*b166*b566 + 164*b166*b567 + 246*b166*b570 + 114*b166*
     b572 + 7*b166*b577 + 12*b166*b578 + 69*b166*b581 + 43*b166*b586 + 7*b166*
     b593 + 60*b166*b596 + 58*b166*b598 + 27*b166*b600 + 57*b166*b601 + 4*b166*
     b603 + 8*b166*b604 + 57*b166*b605 + 2*b166*b607 + 106*b166*b608 + 8*b166*
     b611 + 55*b166*b613 + 36*b166*b615 + 16*b166*b618 + 3*b167*b253 + 23*b167*
     b257 + 3*b167*b260 + 21*b167*b265 + 28*b167*b268 + 5*b167*b280 + 2*b167*
     b282 + 14*b167*b284 + 16*b167*b285 + 16*b167*b287 + 19*b167*b290 + 11*b167
     *b293 + 8*b167*b298 + 3*b167*b301 + b167*b302 + 9*b167*b304 + 8*b167*b308
      + 6*b167*b309 + 36*b167*b511 + 12*b167*b513 + 18*b167*b514 + 27*b167*b515
      + 15*b167*b516 + 28*b167*b517 + 28*b167*b518 + 48*b167*b519 + 50*b167*
     b520 + 50*b167*b521 + 9*b167*b522 + 8*b167*b523 + 15*b167*b524 + 8*b167*
     b527 + 13*b167*b530 + 25*b167*b532 + 41*b167*b534 + 16*b167*b535 + 28*b167
     *b536 + 8*b167*b537 + b167*b543 + 3*b167*b548 + 8*b167*b552 + 13*b167*b554
      + 5*b167*b556 + 7*b167*b565 + 9*b167*b568 + 40*b167*b571 + 8*b167*b572 + 
     50*b167*b573 + 64*b167*b575 + 58*b167*b576 + 54*b167*b577 + 12*b167*b578
      + 78*b167*b579 + 6*b167*b580 + 5*b167*b581 + 103*b167*b582 + 2*b167*b585
      + 3*b167*b586 + 3*b167*b597 + 6*b167*b609 + 14*b167*b610 + b167*b612 + 18
     *b167*b613 + 8*b167*b614 + 6*b167*b616 + 19*b167*b618 + 83*b168*b246 + 7*
     b168*b252 + 9*b168*b254 + 17*b168*b257 + b168*b266 + 26*b168*b267 + 8*b168
     *b268 + 30*b168*b269 + 2*b168*b270 + 3*b168*b271 + 16*b168*b273 + 42*b168*
     b274 + 30*b168*b276 + 33*b168*b277 + 51*b168*b278 + 9*b168*b281 + 36*b168*
     b284 + 36*b168*b286 + 13*b168*b288 + 39*b168*b290 + 21*b168*b292 + 64*b168
     *b297 + 110*b168*b300 + 179*b168*b304 + 140*b168*b307 + 37*b168*b309 + 24*
     b168*b511 + 56*b168*b512 + 3*b168*b514 + 31*b168*b515 + 11*b168*b516 + 24*
     b168*b517 + 39*b168*b519 + 10*b168*b526 + 3*b168*b527 + 10*b168*b529 + 15*
     b168*b531 + 31*b168*b533 + 30*b168*b534 + 12*b168*b535 + 21*b168*b537 + 2*
     b168*b538 + 103*b168*b539 + 11*b168*b541 + 23*b168*b545 + 14*b168*b548 + 
     61*b168*b549 + 168*b168*b553 + 26*b168*b554 + 9*b168*b555 + 49*b168*b556
      + 21*b168*b558 + 2*b168*b560 + 5*b168*b561 + 25*b168*b564 + 144*b168*b566
      + 246*b168*b569 + 13*b168*b571 + 20*b168*b573 + 8*b168*b575 + 12*b168*
     b578 + 28*b168*b579 + 85*b168*b580 + 79*b168*b582 + 216*b168*b583 + 81*
     b168*b584 + 49*b168*b585 + 4*b168*b587 + 11*b168*b590 + 99*b168*b592 + 27*
     b168*b593 + 23*b168*b594 + 138*b168*b596 + 3*b168*b599 + 99*b168*b601 + 14
     *b168*b605 + 212*b168*b609 + 141*b168*b610 + 9*b168*b611 + 24*b168*b612 + 
     30*b168*b615 + 77*b168*b617 + 45*b169*b237 + 10*b169*b246 + 26*b169*b249
      + 36*b169*b252 + 3*b169*b253 + 92*b169*b254 + 63*b169*b255 + 77*b169*b260
      + 58*b169*b261 + 23*b169*b264 + 53*b169*b265 + 6*b169*b266 + 17*b169*b270
      + 3*b169*b273 + 65*b169*b274 + 50*b169*b276 + 19*b169*b278 + 25*b169*b279
      + 33*b169*b282 + 64*b169*b283 + 48*b169*b288 + 17*b169*b291 + 73*b169*
     b292 + 25*b169*b296 + 42*b169*b298 + 74*b169*b300 + 128*b169*b302 + 58*
     b169*b306 + 311*b169*b309 + 2*b169*b514 + 71*b169*b516 + 31*b169*b519 + 11
     *b169*b523 + 5*b169*b525 + 32*b169*b528 + 21*b169*b530 + 31*b169*b531 + 12
     *b169*b533 + 18*b169*b534 + 20*b169*b536 + 28*b169*b537 + 16*b169*b540 + 2
     *b169*b548 + 16*b169*b555 + 34*b169*b556 + 30*b169*b559 + 111*b169*b560 + 
     12*b169*b562 + 40*b169*b564 + 270*b169*b567 + 148*b169*b568 + 134*b169*
     b569 + 30*b169*b571 + 13*b169*b574 + 14*b169*b575 + 31*b169*b577 + 71*b169
     *b578 + 37*b169*b582 + 31*b169*b584 + 48*b169*b585 + 37*b169*b588 + 44*
     b169*b590 + 39*b169*b591 + 25*b169*b595 + 35*b169*b596 + 55*b169*b597 + 7*
     b169*b601 + 74*b169*b602 + 24*b169*b603 + 80*b169*b606 + 86*b169*b608 + 50
     *b169*b609 + 7*b169*b612 + 63*b169*b613 + 22*b169*b614 + 11*b169*b615 + 22
     *b169*b618 + 39*b170*b237 + 21*b170*b252 + 37*b170*b253 + 19*b170*b255 + 
     18*b170*b260 + 38*b170*b261 + 11*b170*b263 + 54*b170*b265 + 21*b170*b267
      + 7*b170*b270 + 37*b170*b271 + 6*b170*b275 + 13*b170*b283 + 6*b170*b284
      + 22*b170*b288 + 4*b170*b289 + 6*b170*b290 + 13*b170*b291 + 6*b170*b292
      + 7*b170*b296 + 45*b170*b298 + 7*b170*b299 + 61*b170*b303 + 38*b170*b306
      + 6*b170*b307 + 23*b170*b309 + 46*b170*b513 + 64*b170*b514 + 18*b170*b517
      + 5*b170*b519 + 21*b170*b520 + 11*b170*b521 + 21*b170*b522 + 9*b170*b523
      + 26*b170*b524 + 2*b170*b525 + 23*b170*b526 + 26*b170*b529 + 7*b170*b530
      + 35*b170*b531 + 30*b170*b533 + 17*b170*b534 + 13*b170*b536 + 27*b170*
     b538 + 13*b170*b540 + 11*b170*b546 + 36*b170*b547 + 52*b170*b548 + 9*b170*
     b550 + b170*b551 + 18*b170*b552 + 4*b170*b555 + 27*b170*b558 + 38*b170*
     b559 + 28*b170*b560 + 28*b170*b564 + 21*b170*b565 + 58*b170*b566 + 96*b170
     *b567 + 17*b170*b569 + 13*b170*b571 + 45*b170*b572 + 42*b170*b573 + 111*
     b170*b575 + 56*b170*b576 + 12*b170*b577 + 55*b170*b579 + 81*b170*b582 + 43
     *b170*b584 + 23*b170*b585 + 19*b170*b586 + 56*b170*b590 + 42*b170*b595 + 
     41*b170*b600 + 8*b170*b601 + 17*b170*b603 + 14*b170*b612 + 8*b170*b615 + 3
     *b171*b246 + 9*b171*b257 + 3*b171*b259 + 6*b171*b264 + 43*b171*b265 + 26*
     b171*b274 + 16*b171*b275 + 4*b171*b279 + 48*b171*b285 + 5*b171*b288 + 5*
     b171*b289 + 3*b171*b293 + 10*b171*b296 + 149*b171*b299 + 13*b171*b300 + 37
     *b171*b301 + 31*b171*b303 + 110*b171*b304 + 14*b171*b511 + 23*b171*b512 + 
     8*b171*b513 + 35*b171*b514 + 26*b171*b515 + 7*b171*b516 + 2*b171*b518 + 84
     *b171*b519 + 9*b171*b520 + 91*b171*b522 + 78*b171*b523 + 17*b171*b524 + 56
     *b171*b525 + 18*b171*b526 + 11*b171*b527 + 45*b171*b528 + 4*b171*b531 + 8*
     b171*b534 + 48*b171*b536 + 10*b171*b538 + 5*b171*b543 + 2*b171*b547 + 14*
     b171*b548 + 18*b171*b549 + 13*b171*b551 + b171*b557 + 4*b171*b558 + 5*b171
     *b561 + 5*b171*b562 + 147*b171*b566 + 18*b171*b568 + 91*b171*b569 + 19*
     b171*b570 + 9*b171*b571 + 25*b171*b573 + 54*b171*b577 + 17*b171*b580 + 10*
     b171*b581 + 30*b171*b582 + 3*b171*b585 + 19*b171*b586 + 9*b171*b587 + 92*
     b171*b589 + 20*b171*b595 + 6*b171*b600 + 53*b171*b601 + 15*b171*b602 + 
     b171*b603 + 4*b171*b605 + 49*b171*b606 + 12*b171*b608 + 119*b171*b610 + 14
     *b171*b611 + 17*b171*b612 + 15*b171*b615 + 10*b171*b616 + 15*b171*b617 + 5
     *b171*b618 + 11*b172*b249 + 78*b172*b255 + 32*b172*b256 + 29*b172*b261 + 
     47*b172*b262 + 20*b172*b263 + 28*b172*b264 + 38*b172*b265 + 28*b172*b267
      + 14*b172*b272 + 29*b172*b276 + 47*b172*b277 + 4*b172*b281 + 133*b172*
     b282 + 9*b172*b283 + 16*b172*b284 + 58*b172*b285 + 12*b172*b286 + 30*b172*
     b290 + 18*b172*b291 + 117*b172*b293 + 32*b172*b295 + 8*b172*b299 + 26*b172
     *b300 + 206*b172*b301 + 29*b172*b302 + 56*b172*b303 + 110*b172*b304 + 82*
     b172*b307 + 164*b172*b308 + b172*b511 + b172*b512 + 148*b172*b513 + 4*b172
     *b518 + 9*b172*b520 + 18*b172*b521 + 25*b172*b524 + 64*b172*b531 + 4*b172*
     b535 + 11*b172*b536 + 29*b172*b539 + 30*b172*b541 + 13*b172*b544 + 4*b172*
     b547 + 31*b172*b548 + 18*b172*b551 + 14*b172*b552 + 44*b172*b553 + 25*b172
     *b557 + 18*b172*b559 + 23*b172*b560 + 14*b172*b564 + 352*b172*b570 + 15*
     b172*b571 + 15*b172*b574 + 22*b172*b576 + 32*b172*b577 + 20*b172*b578 + 38
     *b172*b579 + 131*b172*b581 + 19*b172*b582 + 50*b172*b583 + 34*b172*b585 + 
     2*b172*b586 + 79*b172*b587 + 41*b172*b591 + 20*b172*b592 + 28*b172*b593 + 
     6*b172*b594 + 29*b172*b596 + 107*b172*b598 + 61*b172*b600 + 3*b172*b601 + 
     73*b172*b603 + 63*b172*b605 + 38*b172*b608 + 133*b172*b610 + 68*b172*b611
      + 12*b172*b614 + 74*b172*b616 + 16*b172*b618 + 43*b173*b249 + 3*b173*b256
      + 16*b173*b259 + 7*b173*b261 + 16*b173*b262 + 8*b173*b264 + 25*b173*b265
      + 10*b173*b266 + 78*b173*b267 + 15*b173*b268 + 12*b173*b269 + 4*b173*b271
      + 31*b173*b272 + 29*b173*b274 + 9*b173*b277 + 26*b173*b279 + 26*b173*b280
      + b173*b282 + 22*b173*b283 + 23*b173*b284 + 44*b173*b286 + 37*b173*b288
      + 2*b173*b289 + 22*b173*b294 + 15*b173*b297 + 29*b173*b299 + 64*b173*b303
      + 106*b173*b306 + 40*b173*b307 + 102*b173*b308 + b173*b511 + 23*b173*b512
      + 25*b173*b516 + 30*b173*b520 + 27*b173*b522 + 39*b173*b524 + 15*b173*
     b525 + 20*b173*b531 + 8*b173*b534 + 19*b173*b535 + 10*b173*b539 + 7*b173*
     b541 + 5*b173*b542 + 4*b173*b546 + 29*b173*b547 + 32*b173*b548 + 19*b173*
     b550 + 53*b173*b551 + 10*b173*b554 + 26*b173*b557 + 72*b173*b565 + 16*b173
     *b566 + 93*b173*b567 + 25*b173*b570 + 12*b173*b571 + 38*b173*b572 + 8*b173
     *b574 + 30*b173*b578 + 20*b173*b580 + 17*b173*b581 + 22*b173*b584 + 123*
     b173*b585 + 55*b173*b588 + 47*b173*b593 + b173*b594 + 14*b173*b595 + 56*
     b173*b597 + 10*b173*b602 + 2*b173*b603 + 55*b173*b611 + 32*b173*b616 + 21*
     b173*b617 + 139*b174*b237 + 120*b174*b246 + 15*b174*b249 + 22*b174*b254 + 
     11*b174*b257 + 12*b174*b259 + 24*b174*b264 + 21*b174*b267 + 28*b174*b269
      + 27*b174*b270 + 34*b174*b273 + 69*b174*b274 + 59*b174*b278 + 69*b174*
     b281 + 18*b174*b282 + 14*b174*b283 + 22*b174*b285 + 3*b174*b287 + b174*
     b289 + 27*b174*b292 + 82*b174*b300 + 157*b174*b304 + 288*b174*b307 + 46*
     b174*b512 + 35*b174*b514 + 55*b174*b515 + 25*b174*b516 + 27*b174*b519 + 
     195*b174*b522 + 3*b174*b523 + 84*b174*b528 + 19*b174*b530 + 16*b174*b532
      + b174*b533 + 9*b174*b534 + 38*b174*b535 + 38*b174*b536 + 30*b174*b537 + 
     32*b174*b539 + 5*b174*b540 + 17*b174*b544 + 2*b174*b545 + 2*b174*b546 + 39
     *b174*b548 + 24*b174*b549 + 9*b174*b552 + 30*b174*b554 + 29*b174*b558 + 9*
     b174*b560 + 5*b174*b561 + 5*b174*b564 + 97*b174*b566 + 302*b174*b569 + 201
     *b174*b570 + 77*b174*b571 + 8*b174*b576 + 4*b174*b578 + 56*b174*b579 + 30*
     b174*b580 + 19*b174*b582 + 105*b174*b583 + 83*b174*b584 + 68*b174*b585 + 
     25*b174*b586 + 4*b174*b587 + 193*b174*b589 + 23*b174*b590 + 54*b174*b592
      + 8*b174*b593 + 66*b174*b594 + 6*b174*b596 + 6*b174*b598 + 5*b174*b599 + 
     37*b174*b600 + 167*b174*b601 + 99*b174*b602 + 14*b174*b603 + 5*b174*b605
      + 17*b174*b608 + 224*b174*b609 + 247*b174*b610 + 28*b174*b611 + 23*b174*
     b612 + 27*b174*b615 + 25*b174*b616 + 42*b174*b617 + 23*b174*b618 + 14*b175
     *b253 + 114*b175*b254 + 4*b175*b257 + 16*b175*b260 + 21*b175*b261 + 18*
     b175*b262 + 11*b175*b265 + 6*b175*b266 + 11*b175*b269 + 22*b175*b271 + 37*
     b175*b280 + 104*b175*b282 + 66*b175*b283 + 18*b175*b285 + 66*b175*b286 + 
     27*b175*b287 + 50*b175*b288 + 36*b175*b289 + 4*b175*b290 + 61*b175*b300 + 
     88*b175*b301 + 47*b175*b303 + 61*b175*b305 + 236*b175*b306 + 7*b175*b511
      + 9*b175*b514 + 6*b175*b516 + 15*b175*b517 + 34*b175*b518 + 11*b175*b519
      + 32*b175*b520 + 22*b175*b521 + 65*b175*b523 + 16*b175*b524 + 12*b175*
     b525 + 38*b175*b528 + 4*b175*b533 + 47*b175*b534 + 30*b175*b535 + 17*b175*
     b536 + 34*b175*b537 + 16*b175*b545 + 14*b175*b549 + 2*b175*b550 + 13*b175*
     b551 + 24*b175*b553 + 22*b175*b555 + 11*b175*b557 + 10*b175*b558 + 11*b175
     *b559 + 12*b175*b560 + 17*b175*b562 + 246*b175*b566 + 20*b175*b567 + 45*
     b175*b568 + 43*b175*b569 + 19*b175*b570 + 3*b175*b571 + 39*b175*b572 + 84*
     b175*b573 + 9*b175*b575 + 10*b175*b578 + 16*b175*b580 + 96*b175*b581 + 5*
     b175*b582 + 35*b175*b583 + 58*b175*b587 + 23*b175*b588 + 27*b175*b589 + 57
     *b175*b591 + 36*b175*b592 + 2*b175*b594 + 14*b175*b595 + 6*b175*b596 + 44*
     b175*b597 + b175*b600 + 11*b175*b607 + 4*b175*b613 + 96*b175*b616 + 44*
     b175*b617 + b176*b237 + 11*b176*b246 + 27*b176*b249 + 56*b176*b259 + 67*
     b176*b262 + 50*b176*b264 + 56*b176*b266 + 9*b176*b269 + 35*b176*b274 + 44*
     b176*b276 + 41*b176*b281 + 40*b176*b282 + 35*b176*b283 + 18*b176*b284 + 35
     *b176*b285 + 6*b176*b286 + 26*b176*b287 + 37*b176*b289 + 59*b176*b290 + 5*
     b176*b291 + 15*b176*b293 + 55*b176*b298 + 31*b176*b305 + 55*b176*b306 + 
     107*b176*b308 + 63*b176*b512 + 41*b176*b513 + 165*b176*b515 + 13*b176*b516
      + 68*b176*b518 + 45*b176*b519 + 9*b176*b520 + 16*b176*b523 + 5*b176*b524
      + 16*b176*b532 + 51*b176*b534 + 61*b176*b535 + 54*b176*b536 + 9*b176*b537
      + 51*b176*b538 + 23*b176*b542 + 54*b176*b543 + 4*b176*b544 + 37*b176*b545
      + 75*b176*b549 + 6*b176*b558 + 44*b176*b560 + 56*b176*b561 + 29*b176*b564
      + 116*b176*b565 + 46*b176*b566 + 139*b176*b567 + 57*b176*b568 + 113*b176*
     b570 + 36*b176*b571 + 60*b176*b574 + 7*b176*b578 + 30*b176*b579 + 13*b176*
     b581 + 69*b176*b582 + 248*b176*b584 + 27*b176*b586 + 15*b176*b587 + 33*
     b176*b589 + 76*b176*b591 + 16*b176*b592 + 6*b176*b593 + 124*b176*b594 + 17
     *b176*b596 + 21*b176*b599 + 9*b176*b600 + 7*b176*b601 + 21*b176*b603 + 32*
     b176*b604 + 4*b176*b607 + 12*b176*b608 + 69*b176*b609 + 8*b176*b611 + 72*
     b176*b613 + 11*b176*b616 + 81*b176*b618 + 27*b177*b253 + 2*b177*b254 + 69*
     b177*b257 + 26*b177*b259 + 75*b177*b262 + 8*b177*b263 + b177*b265 + 26*
     b177*b266 + 11*b177*b272 + 5*b177*b276 + 4*b177*b279 + 13*b177*b280 + 26*
     b177*b282 + 4*b177*b286 + 7*b177*b287 + 20*b177*b290 + 11*b177*b291 + 5*
     b177*b293 + 33*b177*b295 + 4*b177*b297 + 28*b177*b298 + 122*b177*b300 + 26
     *b177*b301 + 69*b177*b303 + 63*b177*b307 + 31*b177*b308 + 58*b177*b309 + 
     27*b177*b512 + 2*b177*b513 + 8*b177*b516 + 11*b177*b519 + 5*b177*b522 + 26
     *b177*b526 + 4*b177*b530 + 7*b177*b531 + 5*b177*b533 + 33*b177*b534 + 4*
     b177*b536 + 26*b177*b538 + 37*b177*b539 + 5*b177*b541 + 27*b177*b543 + 86*
     b177*b545 + 30*b177*b547 + 40*b177*b548 + 26*b177*b551 + 83*b177*b552 + 45
     *b177*b554 + 11*b177*b555 + 14*b177*b556 + 28*b177*b559 + 30*b177*b560 + 4
     *b177*b562 + 22*b177*b564 + 122*b177*b565 + 63*b177*b568 + 31*b177*b569 + 
     58*b177*b570 + 69*b177*b574 + 26*b177*b575 + 26*b177*b576 + 4*b177*b579 + 
     11*b177*b580 + 28*b177*b583 + 26*b177*b584 + 13*b177*b592 + 54*b177*b593
      + 42*b177*b598 + b177*b599 + 13*b177*b601 + 20*b177*b602 + 35*b177*b603
      + 116*b177*b604 + 19*b177*b608 + 69*b177*b609 + 75*b177*b612 + 37*b177*
     b615 + 122*b178*b246 + 58*b178*b249 + 31*b178*b256 + 4*b178*b257 + 11*b178
     *b260 + b178*b261 + b178*b269 + 3*b178*b270 + 15*b178*b272 + 18*b178*b281
      + 30*b178*b283 + 2*b178*b284 + 8*b178*b289 + 6*b178*b290 + 4*b178*b292 + 
     22*b178*b293 + 28*b178*b295 + 27*b178*b296 + 97*b178*b299 + 77*b178*b302
      + 165*b178*b304 + 4*b178*b305 + b178*b307 + 61*b178*b309 + 29*b178*b511
      + 22*b178*b512 + 14*b178*b513 + 13*b178*b516 + 2*b178*b517 + 26*b178*b520
      + 8*b178*b521 + 15*b178*b522 + 10*b178*b523 + 108*b178*b524 + 9*b178*b526
      + 20*b178*b529 + 44*b178*b530 + 13*b178*b531 + 3*b178*b532 + 62*b178*b536
      + 14*b178*b539 + 7*b178*b540 + 3*b178*b542 + 15*b178*b545 + 7*b178*b550
      + 13*b178*b554 + 58*b178*b555 + 17*b178*b556 + 14*b178*b558 + 19*b178*
     b560 + 18*b178*b564 + 169*b178*b565 + 56*b178*b569 + 24*b178*b571 + 31*
     b178*b575 + 20*b178*b576 + 22*b178*b578 + 11*b178*b579 + 5*b178*b580 + 46*
     b178*b582 + 23*b178*b583 + 146*b178*b584 + 2*b178*b588 + 2*b178*b589 + 31*
     b178*b591 + 130*b178*b592 + 10*b178*b593 + 21*b178*b598 + 22*b178*b599 + 
     18*b178*b600 + 52*b178*b601 + 4*b178*b608 + 52*b178*b609 + 195*b178*b610
      + 15*b178*b612 + b178*b613 + 91*b178*b615 + 7*b178*b616 + 12*b178*b617 + 
     8*b178*b618 + 6*b179*b246 + 28*b179*b252 + 3*b179*b253 + 2*b179*b259 + 31*
     b179*b261 + 33*b179*b262 + 19*b179*b263 + 109*b179*b264 + 86*b179*b265 + 
     97*b179*b268 + 22*b179*b269 + 3*b179*b270 + 22*b179*b272 + 126*b179*b273
      + 4*b179*b274 + 67*b179*b276 + 38*b179*b277 + 18*b179*b278 + 166*b179*
     b281 + 28*b179*b287 + 32*b179*b289 + 58*b179*b290 + 15*b179*b291 + 6*b179*
     b294 + 32*b179*b295 + 43*b179*b296 + 5*b179*b299 + 113*b179*b300 + 50*b179
     *b303 + 7*b179*b511 + 11*b179*b513 + 5*b179*b514 + 13*b179*b526 + 14*b179*
     b527 + 28*b179*b528 + 60*b179*b529 + 44*b179*b530 + 28*b179*b532 + 5*b179*
     b533 + 11*b179*b536 + 3*b179*b538 + 15*b179*b541 + 21*b179*b543 + 4*b179*
     b544 + 6*b179*b547 + 77*b179*b548 + 31*b179*b550 + 67*b179*b551 + 38*b179*
     b553 + 18*b179*b564 + 132*b179*b566 + 139*b179*b567 + 50*b179*b568 + 86*
     b179*b569 + 76*b179*b570 + 25*b179*b571 + 4*b179*b573 + 26*b179*b574 + 5*
     b179*b576 + 10*b179*b578 + b179*b579 + 11*b179*b581 + 23*b179*b583 + 26*
     b179*b584 + 38*b179*b585 + 19*b179*b586 + 6*b179*b587 + 35*b179*b590 + 9*
     b179*b595 + 2*b179*b596 + b179*b601 + 39*b179*b603 + 8*b179*b605 + 174*
     b179*b610 + 12*b179*b611 + 15*b179*b613 + 19*b179*b617 + 9*b179*b618 + 48*
     b180*b237 + 6*b180*b246 + 25*b180*b249 + 5*b180*b256 + 6*b180*b257 + 48*
     b180*b259 + 25*b180*b261 + 51*b180*b262 + 49*b180*b263 + 2*b180*b265 + 34*
     b180*b268 + 48*b180*b270 + 5*b180*b274 + 16*b180*b275 + 4*b180*b276 + 24*
     b180*b277 + b180*b280 + 8*b180*b281 + 8*b180*b282 + 6*b180*b284 + 6*b180*
     b285 + 108*b180*b288 + 13*b180*b289 + 12*b180*b290 + 95*b180*b296 + 32*
     b180*b300 + 22*b180*b301 + 108*b180*b302 + 32*b180*b303 + 52*b180*b307 + 
     39*b180*b309 + 100*b180*b512 + 51*b180*b513 + 77*b180*b517 + 7*b180*b519
      + 16*b180*b520 + 15*b180*b524 + 38*b180*b527 + 13*b180*b530 + 15*b180*
     b531 + b180*b533 + 113*b180*b534 + 15*b180*b536 + 23*b180*b537 + 53*b180*
     b541 + 34*b180*b547 + 2*b180*b548 + 101*b180*b552 + 30*b180*b555 + 4*b180*
     b557 + 72*b180*b558 + 5*b180*b559 + 36*b180*b560 + 60*b180*b564 + 12*b180*
     b567 + 131*b180*b569 + 28*b180*b571 + 11*b180*b576 + 16*b180*b577 + 25*
     b180*b579 + 8*b180*b580 + 25*b180*b581 + 38*b180*b582 + 22*b180*b583 + 76*
     b180*b585 + 176*b180*b586 + 2*b180*b587 + 6*b180*b588 + 5*b180*b594 + 73*
     b180*b595 + 34*b180*b597 + 11*b180*b598 + 60*b180*b603 + 47*b180*b605 + 27
     *b180*b606 + 10*b180*b607 + 172*b180*b610 + 9*b180*b611 + 34*b180*b613 + 
     19*b180*b616 + 21*b180*b617 + 100*b180*b618 + 25*b181*b224 + 33*b181*b249
      + 39*b181*b252 + 57*b181*b254 + 106*b181*b255 + b181*b256 + 50*b181*b257
      + 87*b181*b260 + 3*b181*b262 + 95*b181*b263 + 18*b181*b266 + 39*b181*b268
      + 112*b181*b271 + 6*b181*b272 + 11*b181*b275 + 25*b181*b278 + 33*b181*
     b280 + 11*b181*b284 + 14*b181*b285 + 20*b181*b286 + 64*b181*b287 + 35*b181
     *b290 + 59*b181*b292 + 71*b181*b293 + 86*b181*b294 + 79*b181*b297 + 35*
     b181*b299 + 180*b181*b301 + 58*b181*b303 + 316*b181*b305 + 164*b181*b306
      + 88*b181*b308 + 57*b181*b513 + b181*b514 + 95*b181*b516 + 6*b181*b519 + 
     25*b181*b524 + 11*b181*b528 + 14*b181*b529 + 20*b181*b530 + 64*b181*b531
      + 71*b181*b533 + 79*b181*b536 + 35*b181*b537 + 36*b181*b538 + 12*b181*
     b540 + 72*b181*b543 + 32*b181*b544 + 153*b181*b549 + 93*b181*b552 + 2*b181
     *b559 + 17*b181*b560 + 26*b181*b563 + 88*b181*b569 + 25*b181*b571 + 33*
     b181*b573 + 50*b181*b574 + 18*b181*b576 + 11*b181*b578 + 59*b181*b581 + 86
     *b181*b582 + 180*b181*b584 + 316*b181*b585 + 49*b181*b587 + 31*b181*b593
      + 38*b181*b594 + 6*b181*b596 + 36*b181*b597 + 39*b181*b600 + 33*b181*b601
      + 35*b181*b602 + 3*b181*b606 + 23*b181*b607 + 58*b181*b609 + 164*b181*
     b610 + 87*b181*b611 + 3*b181*b612 + 39*b181*b616 + 106*b181*b617 + 112*
     b181*b618 + 20*b182*b224 + 12*b182*b237 + 14*b182*b246 + 17*b182*b249 + 14
     *b182*b259 + 5*b182*b264 + 3*b182*b265 + 9*b182*b272 + 6*b182*b274 + 26*
     b182*b275 + 4*b182*b281 + 10*b182*b293 + 46*b182*b299 + 12*b182*b304 + 4*
     b182*b305 + 19*b182*b306 + 8*b182*b307 + 41*b182*b513 + 8*b182*b514 + 10*
     b182*b515 + 13*b182*b516 + b182*b518 + 31*b182*b520 + 89*b182*b522 + 146*
     b182*b523 + 38*b182*b524 + 21*b182*b526 + 8*b182*b527 + 77*b182*b528 + 8*
     b182*b529 + 7*b182*b530 + 31*b182*b531 + 13*b182*b532 + 2*b182*b534 + 9*
     b182*b535 + 73*b182*b536 + 4*b182*b545 + 8*b182*b547 + 47*b182*b557 + 3*
     b182*b559 + 8*b182*b565 + 30*b182*b566 + 25*b182*b569 + 14*b182*b570 + 21*
     b182*b574 + 2*b182*b576 + 5*b182*b579 + 24*b182*b580 + 31*b182*b581 + 9*
     b182*b582 + 106*b182*b583 + 16*b182*b584 + 125*b182*b589 + 8*b182*b592 + 
     23*b182*b593 + 9*b182*b596 + 12*b182*b598 + 19*b182*b600 + 55*b182*b601 + 
     42*b182*b602 + 9*b182*b603 + 14*b182*b606 + 5*b182*b609 + 9*b182*b611 + 24
     *b182*b612 + 19*b182*b613 + 36*b182*b614 + 14*b182*b615 + 5*b182*b617 + 34
     *b182*b618 + 18*b183*b249 + 23*b183*b256 + 60*b183*b259 + 70*b183*b266 + 
     32*b183*b268 + 35*b183*b269 + b183*b270 + 18*b183*b272 + 17*b183*b283 + 19
     *b183*b284 + 38*b183*b285 + 65*b183*b286 + 11*b183*b294 + 10*b183*b296 + 
     31*b183*b297 + 15*b183*b298 + 45*b183*b299 + 7*b183*b300 + 2*b183*b302 + 
     b183*b306 + 3*b183*b307 + 18*b183*b308 + 3*b183*b309 + 6*b183*b511 + 6*
     b183*b512 + 16*b183*b513 + 30*b183*b516 + 2*b183*b517 + 16*b183*b520 + 12*
     b183*b521 + 25*b183*b522 + 18*b183*b523 + 12*b183*b524 + 2*b183*b525 + 9*
     b183*b526 + 30*b183*b531 + 21*b183*b532 + 9*b183*b533 + 42*b183*b534 + 2*
     b183*b540 + 14*b183*b541 + 8*b183*b543 + 17*b183*b544 + 34*b183*b546 + 16*
     b183*b547 + 21*b183*b550 + 42*b183*b551 + 14*b183*b555 + 3*b183*b558 + 
     b183*b567 + 39*b183*b571 + 29*b183*b572 + 20*b183*b574 + 14*b183*b578 + 
     b183*b579 + 6*b183*b581 + 9*b183*b584 + 12*b183*b585 + 3*b183*b587 + 7*
     b183*b589 + 61*b183*b593 + 17*b183*b601 + 26*b183*b602 + 5*b183*b605 + 6*
     b183*b609 + 3*b183*b611 + b183*b612 + 15*b183*b613 + 10*b183*b614 + 11*
     b183*b616 + 7*b183*b617 + 6*b183*b618 + 7*b184*b224 + 12*b184*b262 + 22*
     b184*b264 + 53*b184*b265 + 27*b184*b269 + 10*b184*b271 + 46*b184*b276 + 22
     *b184*b277 + 57*b184*b278 + 19*b184*b281 + 69*b184*b282 + 19*b184*b284 + 6
     *b184*b289 + 90*b184*b290 + 35*b184*b291 + 30*b184*b297 + 43*b184*b298 + 
     45*b184*b301 + 219*b184*b304 + 65*b184*b307 + 139*b184*b308 + 22*b184*b517
      + 46*b184*b522 + 22*b184*b523 + 57*b184*b524 + 19*b184*b525 + 69*b184*
     b526 + 19*b184*b528 + 30*b184*b536 + 45*b184*b538 + 6*b184*b539 + 12*b184*
     b541 + 17*b184*b543 + 27*b184*b546 + 27*b184*b547 + 89*b184*b548 + 22*b184
     *b549 + 3*b184*b550 + 20*b184*b552 + b184*b554 + 13*b184*b555 + 21*b184*
     b562 + 10*b184*b563 + 37*b184*b564 + 219*b184*b567 + 65*b184*b568 + 139*
     b184*b569 + 7*b184*b571 + 27*b184*b577 + 35*b184*b580 + 43*b184*b583 + 45*
     b184*b584 + 15*b184*b586 + 32*b184*b591 + 24*b184*b593 + 19*b184*b596 + 53
     *b184*b599 + 90*b184*b602 + 46*b184*b603 + 40*b184*b605 + 52*b184*b608 + 
     12*b184*b612 + 6*b184*b614 + 42*b184*b615 + 10*b184*b618 + 19*b185*b249 + 
     56*b185*b252 + 2*b185*b257 + 105*b185*b260 + 24*b185*b261 + 85*b185*b263
      + 16*b185*b264 + 23*b185*b265 + 140*b185*b267 + 2*b185*b268 + 6*b185*b269
      + 58*b185*b270 + 5*b185*b271 + 4*b185*b272 + 27*b185*b273 + 15*b185*b274
      + 4*b185*b277 + 19*b185*b278 + 12*b185*b279 + 27*b185*b284 + 22*b185*b285
      + 44*b185*b286 + 112*b185*b288 + 17*b185*b290 + 14*b185*b291 + 16*b185*
     b292 + 21*b185*b294 + 56*b185*b296 + 8*b185*b299 + 174*b185*b303 + 204*
     b185*b307 + 29*b185*b308 + 13*b185*b511 + 56*b185*b512 + 6*b185*b513 + 96*
     b185*b514 + 22*b185*b522 + 8*b185*b525 + 42*b185*b526 + 82*b185*b527 + 66*
     b185*b531 + 10*b185*b533 + 65*b185*b534 + 20*b185*b536 + 20*b185*b539 + 17
     *b185*b540 + 90*b185*b541 + 23*b185*b542 + 12*b185*b544 + 83*b185*b547 + 
     52*b185*b548 + 6*b185*b551 + 68*b185*b552 + 35*b185*b553 + 10*b185*b554 + 
     20*b185*b557 + 32*b185*b558 + 62*b185*b559 + 8*b185*b563 + 9*b185*b565 + 
     144*b185*b566 + 108*b185*b567 + 64*b185*b570 + 87*b185*b571 + 14*b185*b572
      + 49*b185*b575 + 45*b185*b576 + 26*b185*b578 + 63*b185*b583 + 354*b185*
     b584 + 51*b185*b585 + 12*b185*b588 + 44*b185*b589 + 25*b185*b590 + 16*b185
     *b592 + 62*b185*b593 + 9*b185*b594 + 30*b185*b595 + 12*b185*b596 + 16*b185
     *b597 + 19*b185*b598 + 28*b185*b601 + 108*b185*b610 + 16*b185*b612 + 8*
     b185*b617 + 115*b186*b237 + 10*b186*b246 + 12*b186*b255 + 35*b186*b257 + 
     26*b186*b259 + 10*b186*b261 + 16*b186*b262 + 24*b186*b263 + 32*b186*b264
      + 23*b186*b265 + 54*b186*b267 + 8*b186*b268 + 8*b186*b269 + 14*b186*b270
      + 31*b186*b273 + 169*b186*b274 + 63*b186*b276 + 52*b186*b277 + 7*b186*
     b278 + 2*b186*b279 + 8*b186*b280 + 32*b186*b281 + 17*b186*b282 + 33*b186*
     b283 + 29*b186*b284 + 35*b186*b285 + 17*b186*b288 + 32*b186*b289 + 41*b186
     *b290 + 24*b186*b291 + 18*b186*b296 + 153*b186*b298 + 79*b186*b301 + 160*
     b186*b302 + 120*b186*b303 + 226*b186*b306 + 54*b186*b307 + 146*b186*b308
      + 16*b186*b309 + 65*b186*b512 + 49*b186*b513 + 51*b186*b514 + 33*b186*
     b519 + 43*b186*b530 + 18*b186*b531 + 2*b186*b533 + 42*b186*b534 + 50*b186*
     b536 + 75*b186*b537 + 48*b186*b538 + 8*b186*b539 + 43*b186*b540 + 46*b186*
     b541 + 20*b186*b542 + 74*b186*b545 + 12*b186*b546 + 6*b186*b547 + 47*b186*
     b548 + 4*b186*b550 + 19*b186*b554 + 114*b186*b557 + 2*b186*b558 + 5*b186*
     b559 + 25*b186*b560 + 51*b186*b561 + 52*b186*b564 + 193*b186*b565 + 228*
     b186*b567 + 61*b186*b571 + 18*b186*b573 + 50*b186*b576 + 20*b186*b578 + 23
     *b186*b581 + 37*b186*b582 + 226*b186*b585 + 3*b186*b586 + 19*b186*b588 + 
     52*b186*b591 + 18*b186*b592 + 18*b186*b596 + 18*b186*b598 + 8*b186*b603 + 
     16*b186*b604 + 57*b186*b606 + 6*b186*b607 + 11*b186*b608 + 12*b186*b611 + 
     20*b186*b615 + 15*b186*b616 + 42*b186*b618 + 16*b187*b254 + 21*b187*b255
      + 51*b187*b256 + 36*b187*b257 + 12*b187*b259 + 24*b187*b263 + 49*b187*
     b264 + 2*b187*b272 + 24*b187*b273 + 26*b187*b279 + 27*b187*b280 + 24*b187*
     b282 + 17*b187*b287 + 10*b187*b288 + 59*b187*b289 + 13*b187*b293 + 8*b187*
     b294 + b187*b295 + 29*b187*b297 + 5*b187*b298 + 9*b187*b300 + 77*b187*b301
      + b187*b302 + 60*b187*b303 + 171*b187*b305 + 100*b187*b306 + 26*b187*b511
      + 2*b187*b512 + 12*b187*b515 + 59*b187*b518 + 62*b187*b521 + 25*b187*b522
      + 25*b187*b523 + b187*b524 + 20*b187*b525 + 44*b187*b527 + 28*b187*b528
      + 34*b187*b529 + 15*b187*b530 + 46*b187*b535 + 3*b187*b537 + 7*b187*b539
      + 49*b187*b540 + b187*b543 + 3*b187*b544 + 50*b187*b545 + 12*b187*b549 + 
     12*b187*b554 + 23*b187*b555 + 23*b187*b556 + 11*b187*b567 + 19*b187*b568
      + 30*b187*b569 + 20*b187*b570 + b187*b572 + 24*b187*b573 + b187*b576 + 3*
     b187*b577 + 29*b187*b578 + 14*b187*b580 + 6*b187*b581 + 11*b187*b587 + 6*
     b187*b592 + 7*b187*b594 + 13*b187*b597 + 13*b187*b598 + 37*b187*b599 + 50*
     b187*b600 + 44*b187*b602 + 15*b187*b606 + 8*b187*b612 + 26*b187*b613 + 7*
     b187*b616 + 63*b187*b618 + 52*b188*b249 + 140*b188*b254 + 19*b188*b261 + 
     21*b188*b264 + 3*b188*b265 + 29*b188*b267 + 2*b188*b268 + 31*b188*b273 + 
     16*b188*b274 + 8*b188*b275 + 13*b188*b281 + 19*b188*b285 + 16*b188*b286 + 
     25*b188*b288 + 32*b188*b290 + 34*b188*b291 + 24*b188*b292 + 33*b188*b296
      + 7*b188*b297 + 2*b188*b300 + 167*b188*b303 + 135*b188*b307 + 224*b188*
     b308 + 40*b188*b511 + 58*b188*b512 + 16*b188*b514 + 101*b188*b516 + 11*
     b188*b518 + 18*b188*b519 + 39*b188*b522 + 50*b188*b523 + 13*b188*b524 + 9*
     b188*b526 + 159*b188*b527 + 3*b188*b528 + 23*b188*b531 + 42*b188*b533 + 
     101*b188*b534 + 45*b188*b541 + 16*b188*b543 + 29*b188*b547 + 35*b188*b548
      + 6*b188*b551 + 69*b188*b552 + 7*b188*b555 + 10*b188*b556 + 15*b188*b557
      + 42*b188*b558 + 5*b188*b559 + 177*b188*b562 + 175*b188*b566 + 78*b188*
     b567 + 196*b188*b570 + 25*b188*b571 + 25*b188*b575 + 30*b188*b576 + 14*
     b188*b577 + 4*b188*b579 + 12*b188*b583 + 222*b188*b584 + 159*b188*b585 + 
     122*b188*b588 + 16*b188*b589 + 14*b188*b592 + 7*b188*b593 + 17*b188*b595
      + b188*b596 + 11*b188*b601 + 3*b188*b603 + 6*b188*b605 + 100*b188*b610 + 
     52*b188*b611 + 11*b188*b612 + 42*b188*b614 + 11*b188*b615 + b188*b616 + 54
     *b188*b617 + 20*b188*b618 + 23*b189*b224 + 19*b189*b237 + 10*b189*b246 + 
     57*b189*b249 + 47*b189*b256 + 148*b189*b261 + 49*b189*b262 + 5*b189*b263
      + 92*b189*b270 + 53*b189*b272 + 13*b189*b275 + 21*b189*b276 + 38*b189*
     b278 + 11*b189*b281 + 36*b189*b283 + 13*b189*b284 + 32*b189*b286 + 31*b189
     *b288 + 20*b189*b289 + 35*b189*b291 + 45*b189*b293 + 3*b189*b294 + 11*b189
     *b295 + 37*b189*b296 + 86*b189*b298 + 113*b189*b301 + 23*b189*b302 + 50*
     b189*b303 + 285*b189*b304 + 177*b189*b305 + 108*b189*b309 + 94*b189*b512
      + 41*b189*b513 + 3*b189*b517 + 2*b189*b520 + 129*b189*b521 + 62*b189*b523
      + 13*b189*b526 + 14*b189*b529 + 28*b189*b531 + 11*b189*b536 + 38*b189*
     b537 + 115*b189*b538 + 10*b189*b540 + 47*b189*b541 + 149*b189*b543 + 13*
     b189*b547 + 6*b189*b551 + 38*b189*b557 + 6*b189*b558 + 14*b189*b560 + 78*
     b189*b562 + 11*b189*b564 + 181*b189*b565 + 225*b189*b568 + 259*b189*b569
      + 3*b189*b574 + 63*b189*b575 + 31*b189*b576 + 2*b189*b577 + 17*b189*b579
      + b189*b581 + 9*b189*b586 + 12*b189*b587 + 35*b189*b590 + 18*b189*b592 + 
     39*b189*b599 + 46*b189*b600 + 27*b189*b601 + 39*b189*b602 + 5*b189*b603 + 
     b189*b604 + 11*b189*b605 + 15*b189*b608 + 248*b189*b610 + 28*b189*b611 + 
     79*b189*b613 + 20*b189*b616 + 91*b189*b617 + 54*b189*b618 + 18*b190*b246
      + 18*b190*b249 + 61*b190*b256 + 27*b190*b257 + 32*b190*b259 + 61*b190*
     b262 + 39*b190*b265 + 153*b190*b267 + 14*b190*b268 + 21*b190*b275 + 21*
     b190*b277 + 28*b190*b278 + 30*b190*b281 + 6*b190*b282 + 12*b190*b283 + 41*
     b190*b284 + 7*b190*b285 + 38*b190*b286 + 20*b190*b288 + 5*b190*b289 + 43*
     b190*b290 + 31*b190*b291 + 8*b190*b295 + 8*b190*b296 + 6*b190*b301 + 107*
     b190*b302 + 102*b190*b303 + 165*b190*b306 + 201*b190*b307 + 193*b190*b309
      + 2*b190*b511 + 157*b190*b512 + 20*b190*b513 + 12*b190*b515 + 67*b190*
     b516 + 32*b190*b517 + 14*b190*b518 + 25*b190*b519 + 39*b190*b520 + 22*b190
     *b521 + 9*b190*b522 + 46*b190*b531 + 20*b190*b533 + 16*b190*b536 + 9*b190*
     b537 + 33*b190*b539 + 51*b190*b540 + 10*b190*b544 + 92*b190*b545 + 43*b190
     *b547 + 25*b190*b548 + 18*b190*b550 + 12*b190*b555 + 64*b190*b558 + 129*
     b190*b561 + 64*b190*b562 + 133*b190*b565 + 160*b190*b567 + 34*b190*b569 + 
     4*b190*b571 + 19*b190*b576 + 31*b190*b577 + 63*b190*b579 + 54*b190*b581 + 
     8*b190*b582 + b190*b583 + 282*b190*b585 + 53*b190*b586 + 34*b190*b589 + 21
     *b190*b592 + 55*b190*b593 + b190*b596 + 40*b190*b601 + 31*b190*b605 + 67*
     b190*b606 + 12*b190*b611 + 47*b190*b616 + 13*b190*b617 + 52*b190*b618 + 55
     *b191*b237 + 47*b191*b252 + 17*b191*b261 + 114*b191*b263 + 8*b191*b268 + 
     42*b191*b270 + 42*b191*b274 + 66*b191*b276 + 7*b191*b279 + 49*b191*b280 + 
     12*b191*b281 + 19*b191*b286 + 23*b191*b296 + 4*b191*b298 + 189*b191*b309
      + 131*b191*b512 + 62*b191*b513 + 66*b191*b514 + 25*b191*b517 + 3*b191*
     b519 + 42*b191*b520 + 7*b191*b523 + 15*b191*b524 + 24*b191*b526 + 37*b191*
     b527 + 13*b191*b528 + 7*b191*b529 + 80*b191*b531 + 44*b191*b532 + 9*b191*
     b533 + 49*b191*b534 + 29*b191*b536 + 7*b191*b537 + 111*b191*b538 + 55*b191
     *b540 + 45*b191*b541 + 48*b191*b546 + 16*b191*b551 + 51*b191*b552 + 35*
     b191*b555 + 20*b191*b556 + 14*b191*b557 + 66*b191*b558 + 37*b191*b559 + 
     101*b191*b560 + 69*b191*b564 + b191*b565 + 24*b191*b566 + 219*b191*b567 + 
     151*b191*b568 + 158*b191*b569 + 8*b191*b571 + 24*b191*b572 + b191*b573 + 6
     *b191*b574 + 9*b191*b575 + 16*b191*b576 + 5*b191*b577 + 20*b191*b578 + 7*
     b191*b580 + 30*b191*b581 + 21*b191*b582 + 32*b191*b584 + 201*b191*b585 + 
     26*b191*b586 + 36*b191*b588 + 55*b191*b590 + 32*b191*b595 + 9*b191*b596 + 
     38*b191*b597 + 17*b191*b599 + 89*b191*b602 + 68*b191*b603 + 2*b191*b604 + 
     33*b191*b606 + 55*b191*b608 + 34*b191*b609 + 105*b191*b610 + 59*b191*b611
      + 45*b191*b612 + 18*b191*b614 + 40*b191*b617 + 18*b191*b618 + 20*b192*
     b249 + 2*b192*b252 + 11*b192*b253 + 9*b192*b254 + 14*b192*b255 + 3*b192*
     b259 + 3*b192*b262 + 18*b192*b263 + 13*b192*b264 + 19*b192*b270 + 164*b192
     *b272 + 101*b192*b273 + 21*b192*b278 + 4*b192*b279 + 8*b192*b280 + b192*
     b282 + 31*b192*b289 + 5*b192*b292 + 12*b192*b293 + 22*b192*b295 + 22*b192*
     b296 + 59*b192*b297 + 53*b192*b302 + 74*b192*b303 + 20*b192*b304 + 95*b192
     *b305 + 75*b192*b306 + 58*b192*b307 + 134*b192*b308 + 78*b192*b309 + 60*
     b192*b511 + b192*b514 + 33*b192*b515 + 25*b192*b521 + 11*b192*b522 + 89*
     b192*b523 + 126*b192*b525 + 4*b192*b527 + 80*b192*b528 + 79*b192*b529 + 17
     *b192*b530 + 16*b192*b531 + 30*b192*b532 + 13*b192*b537 + 15*b192*b538 + 
     37*b192*b539 + 5*b192*b540 + b192*b543 + 15*b192*b545 + 7*b192*b546 + 20*
     b192*b549 + 63*b192*b551 + 7*b192*b554 + 64*b192*b559 + 5*b192*b561 + 40*
     b192*b565 + 5*b192*b571 + 4*b192*b572 + 17*b192*b574 + 26*b192*b576 + 48*
     b192*b577 + 20*b192*b578 + 9*b192*b580 + 20*b192*b582 + 10*b192*b583 + 145
     *b192*b584 + 14*b192*b586 + 2*b192*b593 + 8*b192*b595 + 11*b192*b596 + 14*
     b192*b597 + 44*b192*b599 + 80*b192*b602 + 34*b192*b603 + 2*b192*b605 + 47*
     b192*b606 + 3*b192*b611 + 11*b192*b613 + 6*b192*b615 + 18*b192*b618 + 58*
     b193*b224 + 6*b193*b252 + 8*b193*b253 + 46*b193*b257 + 27*b193*b259 + 36*
     b193*b260 + 7*b193*b264 + 30*b193*b266 + 10*b193*b268 + 66*b193*b271 + 22*
     b193*b272 + 45*b193*b274 + 39*b193*b277 + 24*b193*b280 + 6*b193*b284 + 15*
     b193*b285 + 47*b193*b287 + 85*b193*b289 + 20*b193*b294 + 18*b193*b297 + 4*
     b193*b298 + 37*b193*b302 + 41*b193*b303 + 201*b193*b304 + 9*b193*b305 + 
     197*b193*b308 + 8*b193*b512 + 7*b193*b517 + 22*b193*b519 + 45*b193*b521 + 
     39*b193*b523 + 6*b193*b528 + 15*b193*b529 + 47*b193*b531 + 18*b193*b536 + 
     28*b193*b538 + 10*b193*b539 + 3*b193*b540 + 17*b193*b554 + 35*b193*b557 + 
     34*b193*b558 + 29*b193*b562 + 25*b193*b564 + 37*b193*b566 + 201*b193*b567
      + 197*b193*b569 + 58*b193*b571 + 46*b193*b574 + 27*b193*b575 + 30*b193*
     b576 + 20*b193*b582 + 4*b193*b583 + 9*b193*b585 + 67*b193*b586 + 26*b193*
     b593 + 17*b193*b594 + 65*b193*b595 + 9*b193*b596 + 30*b193*b598 + 10*b193*
     b600 + 24*b193*b601 + 25*b193*b608 + 41*b193*b609 + 36*b193*b611 + 85*b193
     *b614 + 6*b193*b616 + 66*b193*b618 + 13*b194*b224 + 50*b194*b237 + 30*b194
     *b246 + 38*b194*b249 + 32*b194*b252 + 28*b194*b256 + 65*b194*b261 + 8*b194
     *b262 + 39*b194*b264 + 76*b194*b265 + 23*b194*b266 + 4*b194*b267 + 44*b194
     *b271 + 21*b194*b272 + 124*b194*b273 + 11*b194*b274 + 52*b194*b277 + b194*
     b279 + 88*b194*b281 + 6*b194*b282 + 25*b194*b283 + 48*b194*b287 + 68*b194*
     b288 + 18*b194*b289 + 79*b194*b290 + 73*b194*b291 + 11*b194*b294 + 28*b194
     *b295 + 31*b194*b296 + 40*b194*b297 + 39*b194*b298 + 10*b194*b299 + 6*b194
     *b303 + 8*b194*b307 + 4*b194*b512 + 24*b194*b513 + 67*b194*b516 + 18*b194*
     b518 + 35*b194*b522 + 7*b194*b529 + 13*b194*b530 + 5*b194*b533 + 44*b194*
     b539 + 23*b194*b543 + 10*b194*b545 + 29*b194*b546 + 40*b194*b547 + 25*b194
     *b548 + 65*b194*b550 + 37*b194*b551 + 27*b194*b554 + 14*b194*b555 + 47*
     b194*b557 + 41*b194*b561 + 22*b194*b562 + 86*b194*b565 + 3*b194*b566 + 151
     *b194*b567 + 95*b194*b569 + b194*b570 + 28*b194*b574 + 35*b194*b575 + 21*
     b194*b577 + 26*b194*b578 + 20*b194*b581 + 50*b194*b584 + 59*b194*b585 + 22
     *b194*b586 + 14*b194*b587 + 39*b194*b589 + 22*b194*b592 + 23*b194*b593 + 6
     *b194*b596 + 4*b194*b600 + 45*b194*b601 + 24*b194*b605 + 45*b194*b606 + 46
     *b194*b608 + 23*b194*b610 + 30*b194*b611 + 2*b194*b617 + 65*b195*b237 + 
     110*b195*b257 + 24*b195*b261 + 10*b195*b263 + 39*b195*b266 + 3*b195*b267
      + 40*b195*b270 + 54*b195*b274 + 18*b195*b275 + 20*b195*b276 + 33*b195*
     b277 + 19*b195*b279 + 25*b195*b283 + 39*b195*b284 + 31*b195*b286 + 37*b195
     *b290 + 22*b195*b291 + 9*b195*b294 + 107*b195*b295 + 37*b195*b296 + 16*
     b195*b297 + 57*b195*b298 + 108*b195*b300 + 11*b195*b302 + 34*b195*b303 + 
     50*b195*b307 + 180*b195*b308 + 29*b195*b309 + 65*b195*b511 + 24*b195*b515
      + 10*b195*b516 + 40*b195*b518 + 54*b195*b521 + 20*b195*b522 + 33*b195*
     b523 + 25*b195*b527 + 39*b195*b528 + 31*b195*b530 + 107*b195*b534 + 37*
     b195*b535 + 16*b195*b536 + 11*b195*b538 + 58*b195*b539 + 98*b195*b545 + 7*
     b195*b547 + 17*b195*b548 + 20*b195*b551 + 10*b195*b557 + 4*b195*b559 + 20*
     b195*b560 + 11*b195*b561 + 38*b195*b564 + 108*b195*b565 + 11*b195*b566 + 
     50*b195*b568 + 180*b195*b569 + 29*b195*b570 + 110*b195*b574 + 39*b195*b576
      + 18*b195*b578 + 19*b195*b579 + 22*b195*b580 + 9*b195*b582 + 57*b195*b583
      + 62*b195*b591 + 3*b195*b592 + 37*b195*b602 + 59*b195*b603 + 27*b195*b604
      + 14*b195*b608 + 34*b195*b609 + 3*b195*b613 + 12*b196*b249 + 93*b196*b252
      + 14*b196*b253 + 76*b196*b255 + 8*b196*b259 + 7*b196*b261 + 16*b196*b264
      + 17*b196*b266 + 17*b196*b267 + 36*b196*b275 + 23*b196*b277 + 55*b196*
     b280 + 13*b196*b281 + 75*b196*b284 + 17*b196*b285 + 14*b196*b286 + 22*b196
     *b288 + 43*b196*b289 + 15*b196*b295 + 6*b196*b296 + 7*b196*b297 + 8*b196*
     b300 + 46*b196*b302 + 123*b196*b304 + 164*b196*b307 + 5*b196*b511 + 23*
     b196*b513 + 36*b196*b514 + 28*b196*b516 + 10*b196*b518 + 41*b196*b519 + 35
     *b196*b520 + 74*b196*b521 + 71*b196*b522 + 94*b196*b524 + 38*b196*b526 + 
     14*b196*b527 + 2*b196*b531 + 17*b196*b533 + 39*b196*b537 + 3*b196*b540 + 2
     *b196*b541 + 29*b196*b546 + 23*b196*b547 + 7*b196*b550 + 12*b196*b551 + 23
     *b196*b553 + 27*b196*b554 + b196*b556 + 68*b196*b558 + 62*b196*b569 + 78*
     b196*b570 + 14*b196*b571 + 48*b196*b572 + 23*b196*b574 + 10*b196*b577 + 12
     *b196*b579 + 8*b196*b580 + 13*b196*b581 + 27*b196*b582 + 49*b196*b583 + 
     131*b196*b584 + 25*b196*b585 + 14*b196*b586 + 11*b196*b589 + 51*b196*b592
      + 10*b196*b594 + 2*b196*b595 + 24*b196*b597 + 20*b196*b599 + 8*b196*b600
      + 9*b196*b602 + 11*b196*b603 + 10*b196*b604 + 17*b196*b608 + 147*b196*
     b609 + 172*b196*b610 + 89*b196*b611 + 16*b196*b612 + 62*b196*b615 + 8*b196
     *b618 + 2*b197*b259 + 23*b197*b265 + 12*b197*b271 + 20*b197*b276 + 5*b197*
     b281 + 3*b197*b282 + 21*b197*b283 + 41*b197*b286 + 31*b197*b290 + 8*b197*
     b295 + 13*b197*b298 + 150*b197*b299 + b197*b300 + 61*b197*b304 + 7*b197*
     b305 + 6*b197*b306 + 45*b197*b307 + 20*b197*b522 + 5*b197*b525 + 3*b197*
     b526 + 21*b197*b527 + 41*b197*b530 + 8*b197*b534 + 150*b197*b537 + 2*b197*
     b538 + 35*b197*b548 + 4*b197*b554 + 66*b197*b555 + 2*b197*b556 + 22*b197*
     b557 + 2*b197*b558 + 4*b197*b559 + 8*b197*b560 + 2*b197*b564 + b197*b565
      + 61*b197*b567 + 45*b197*b568 + 2*b197*b575 + 13*b197*b583 + 7*b197*b585
      + 3*b197*b588 + 5*b197*b590 + 7*b197*b593 + 13*b197*b595 + 23*b197*b599
      + 31*b197*b602 + 16*b197*b608 + 6*b197*b610 + 18*b197*b615 + 12*b197*b618
      + 22*b198*b237 + 17*b198*b265 + 11*b198*b266 + 2*b198*b267 + 46*b198*b270
      + 4*b198*b272 + 10*b198*b285 + 9*b198*b286 + 4*b198*b288 + 5*b198*b290 + 
     b198*b291 + 9*b198*b295 + b198*b298 + 4*b198*b301 + 18*b198*b303 + 2*b198*
     b305 + 19*b198*b306 + 18*b198*b512 + 10*b198*b513 + 10*b198*b514 + 29*b198
     *b516 + 43*b198*b517 + 7*b198*b520 + 16*b198*b521 + 11*b198*b522 + b198*
     b523 + 5*b198*b524 + 6*b198*b525 + 14*b198*b526 + 11*b198*b527 + 2*b198*
     b528 + 18*b198*b531 + 18*b198*b533 + 3*b198*b535 + 6*b198*b536 + 2*b198*
     b537 + 53*b198*b540 + 21*b198*b541 + 21*b198*b545 + 108*b198*b546 + 11*
     b198*b547 + 2*b198*b548 + 3*b198*b550 + 55*b198*b556 + 6*b198*b559 + 9*
     b198*b561 + 63*b198*b563 + 20*b198*b566 + 14*b198*b567 + 42*b198*b568 + 25
     *b198*b569 + 16*b198*b571 + 2*b198*b572 + 11*b198*b573 + 106*b198*b574 + 
     20*b198*b575 + 21*b198*b578 + 40*b198*b579 + 14*b198*b581 + 4*b198*b582 + 
     13*b198*b591 + b198*b593 + 3*b198*b596 + 20*b198*b601 + 44*b198*b603 + 3*
     b198*b606 + b198*b607 + 4*b198*b611 + 99*b198*b612 + 79*b198*b614 + 19*
     b198*b616 + 12*b198*b617 + 48*b198*b618 + 16*b199*b224 + 3*b199*b246 + 7*
     b199*b249 + 8*b199*b252 + 82*b199*b253 + 3*b199*b255 + 47*b199*b261 + 73*
     b199*b264 + 30*b199*b269 + 72*b199*b271 + 60*b199*b272 + 56*b199*b275 + 20
     *b199*b276 + 4*b199*b279 + 9*b199*b280 + 17*b199*b281 + 3*b199*b282 + 55*
     b199*b283 + 17*b199*b284 + 15*b199*b286 + 76*b199*b289 + 70*b199*b291 + 
     115*b199*b295 + 63*b199*b296 + 46*b199*b298 + 27*b199*b303 + 76*b199*b304
      + 34*b199*b305 + 32*b199*b307 + 13*b199*b309 + 11*b199*b511 + 16*b199*
     b513 + 34*b199*b514 + 43*b199*b516 + 44*b199*b518 + 23*b199*b520 + 45*b199
     *b521 + 29*b199*b523 + 3*b199*b524 + 60*b199*b529 + 48*b199*b531 + 8*b199*
     b532 + 5*b199*b536 + 47*b199*b537 + 27*b199*b538 + 35*b199*b539 + 128*b199
     *b541 + 5*b199*b542 + 83*b199*b543 + 22*b199*b547 + 6*b199*b548 + 48*b199*
     b550 + 17*b199*b551 + 8*b199*b553 + 10*b199*b555 + 37*b199*b556 + 55*b199*
     b558 + 5*b199*b560 + 3*b199*b561 + 11*b199*b562 + 239*b199*b565 + 21*b199*
     b566 + 341*b199*b569 + 7*b199*b574 + 31*b199*b575 + 3*b199*b576 + 4*b199*
     b581 + 4*b199*b582 + 100*b199*b584 + 50*b199*b590 + 68*b199*b591 + 26*b199
     *b592 + 32*b199*b593 + 61*b199*b595 + 62*b199*b599 + 4*b199*b600 + 48*b199
     *b602 + 5*b199*b603 + 20*b199*b605 + 9*b199*b606 + 32*b199*b608 + 181*b199
     *b610 + b199*b611 + 10*b199*b612 + 69*b199*b613 + 14*b200*b224 + 28*b200*
     b246 + 11*b200*b253 + 27*b200*b254 + 153*b200*b257 + 63*b200*b262 + 55*
     b200*b263 + 78*b200*b264 + 34*b200*b265 + 20*b200*b267 + 10*b200*b268 + 11
     *b200*b269 + 75*b200*b271 + 11*b200*b273 + 4*b200*b274 + 42*b200*b276 + 4*
     b200*b278 + 37*b200*b279 + 5*b200*b280 + 20*b200*b281 + 64*b200*b285 + 17*
     b200*b286 + 122*b200*b289 + b200*b292 + 12*b200*b293 + 16*b200*b295 + 9*
     b200*b296 + 23*b200*b299 + 45*b200*b300 + 54*b200*b303 + 5*b200*b305 + 27*
     b200*b511 + 22*b200*b514 + 24*b200*b515 + 29*b200*b518 + 24*b200*b519 + 29
     *b200*b523 + b200*b526 + 4*b200*b527 + 15*b200*b528 + 85*b200*b531 + 9*
     b200*b532 + 21*b200*b536 + 63*b200*b541 + 23*b200*b544 + 26*b200*b547 + 72
     *b200*b548 + 10*b200*b551 + 13*b200*b553 + 17*b200*b555 + 3*b200*b556 + 24
     *b200*b559 + 29*b200*b560 + 16*b200*b563 + 17*b200*b564 + 94*b200*b566 + 
     17*b200*b567 + 50*b200*b568 + 41*b200*b569 + 53*b200*b570 + 10*b200*b573
      + 58*b200*b575 + 31*b200*b576 + 19*b200*b578 + 17*b200*b580 + 4*b200*b582
      + 2*b200*b583 + 2*b200*b587 + 30*b200*b588 + 30*b200*b589 + 14*b200*b592
      + 10*b200*b593 + 9*b200*b594 + 54*b200*b595 + b200*b597 + 38*b200*b602 + 
     116*b200*b610 + 21*b200*b611 + 9*b200*b616 + 3*b200*b617 + 38*b201*b237 + 
     22*b201*b246 + 27*b201*b253 + 36*b201*b254 + 12*b201*b257 + 59*b201*b259
      + 32*b201*b262 + 43*b201*b263 + 18*b201*b264 + 18*b201*b273 + 100*b201*
     b276 + 86*b201*b277 + 3*b201*b278 + 14*b201*b281 + 23*b201*b283 + 95*b201*
     b284 + 43*b201*b286 + 8*b201*b292 + 2*b201*b295 + 11*b201*b296 + 74*b201*
     b298 + 8*b201*b299 + 78*b201*b303 + 261*b201*b305 + 126*b201*b306 + 148*
     b201*b308 + 76*b201*b515 + 39*b201*b518 + 64*b201*b519 + 30*b201*b521 + 10
     *b201*b526 + 55*b201*b529 + 76*b201*b531 + 72*b201*b532 + b201*b533 + 28*
     b201*b536 + 5*b201*b542 + 59*b201*b545 + 53*b201*b549 + 60*b201*b550 + 32*
     b201*b553 + 5*b201*b563 + 14*b201*b565 + 26*b201*b566 + 68*b201*b567 + 68*
     b201*b568 + 77*b201*b570 + 23*b201*b571 + 25*b201*b573 + 20*b201*b576 + 26
     *b201*b577 + 6*b201*b578 + 47*b201*b580 + 15*b201*b582 + 204*b201*b584 + 
     38*b201*b588 + 6*b201*b589 + 45*b201*b591 + 129*b201*b594 + 6*b201*b596 + 
     28*b201*b597 + 122*b201*b599 + 22*b201*b600 + 26*b201*b601 + 99*b201*b602
      + 38*b201*b603 + 13*b201*b604 + 26*b201*b606 + 27*b201*b611 + 54*b201*
     b613 + 23*b201*b616 + 52*b201*b617 + 73*b201*b618 + 28*b202*b253 + 84*b202
     *b255 + 10*b202*b256 + 8*b202*b257 + 6*b202*b259 + 12*b202*b263 + 21*b202*
     b265 + 4*b202*b266 + 30*b202*b267 + 35*b202*b269 + 31*b202*b271 + 47*b202*
     b272 + 82*b202*b280 + 33*b202*b281 + 31*b202*b282 + 3*b202*b283 + 38*b202*
     b284 + b202*b285 + 13*b202*b286 + 11*b202*b288 + 47*b202*b290 + 121*b202*
     b293 + 12*b202*b295 + 29*b202*b296 + 21*b202*b304 + 114*b202*b306 + 14*
     b202*b307 + 76*b202*b309 + 61*b202*b511 + 3*b202*b513 + 33*b202*b515 + 36*
     b202*b517 + 32*b202*b518 + 24*b202*b520 + 89*b202*b521 + 5*b202*b522 + 21*
     b202*b523 + 157*b202*b524 + 12*b202*b531 + 12*b202*b536 + 34*b202*b537 + 
     27*b202*b540 + 14*b202*b541 + 40*b202*b542 + 33*b202*b547 + 40*b202*b548
      + 12*b202*b549 + 12*b202*b550 + 5*b202*b551 + 7*b202*b552 + 25*b202*b554
      + 47*b202*b555 + 26*b202*b556 + 11*b202*b558 + 11*b202*b559 + 219*b202*
     b565 + 176*b202*b566 + 101*b202*b569 + 5*b202*b571 + 22*b202*b572 + 9*b202
     *b573 + 3*b202*b578 + 2*b202*b579 + 38*b202*b580 + 17*b202*b581 + 29*b202*
     b582 + 19*b202*b583 + 204*b202*b584 + 80*b202*b585 + 9*b202*b586 + 50*b202
     *b587 + 26*b202*b588 + 7*b202*b589 + 35*b202*b590 + 112*b202*b592 + 2*b202
     *b594 + 35*b202*b595 + 51*b202*b600 + b202*b603 + 13*b202*b605 + 50*b202*
     b606 + 64*b202*b607 + 95*b202*b609 + 55*b202*b611 + 26*b202*b612 + 94*b202
     *b615 + 67*b202*b616 + 27*b203*b224 + 4*b203*b249 + 17*b203*b256 + 9*b203*
     b261 + 86*b203*b262 + 89*b203*b264 + 10*b203*b265 + 18*b203*b268 + 20*b203
     *b269 + 24*b203*b270 + 27*b203*b273 + 22*b203*b274 + 40*b203*b275 + 23*
     b203*b276 + 4*b203*b279 + 22*b203*b280 + 66*b203*b281 + 63*b203*b282 + 14*
     b203*b283 + 76*b203*b289 + 8*b203*b295 + 12*b203*b296 + 17*b203*b298 + 105
     *b203*b302 + 14*b203*b303 + 61*b203*b304 + 72*b203*b306 + 96*b203*b307 + 
     122*b203*b308 + 30*b203*b309 + 68*b203*b511 + 11*b203*b512 + 20*b203*b513
      + 30*b203*b516 + b203*b519 + 52*b203*b523 + 15*b203*b524 + 14*b203*b528
      + 26*b203*b529 + 27*b203*b530 + 125*b203*b531 + 63*b203*b532 + 42*b203*
     b533 + 46*b203*b536 + 14*b203*b537 + 4*b203*b539 + 59*b203*b540 + 30*b203*
     b542 + 39*b203*b543 + 41*b203*b544 + 28*b203*b546 + b203*b547 + 18*b203*
     b549 + 46*b203*b554 + 48*b203*b555 + 65*b203*b557 + 98*b203*b559 + 21*b203
     *b560 + 25*b203*b561 + 8*b203*b562 + 9*b203*b563 + 18*b203*b564 + 220*b203
     *b565 + 28*b203*b572 + 72*b203*b574 + 19*b203*b575 + 35*b203*b576 + 25*
     b203*b580 + 24*b203*b581 + 44*b203*b582 + 28*b203*b584 + 145*b203*b585 + 
     14*b203*b586 + 48*b203*b588 + 40*b203*b590 + 36*b203*b591 + 51*b203*b592
      + 10*b203*b593 + 54*b203*b594 + 65*b203*b596 + 9*b203*b602 + 82*b203*b603
      + 38*b203*b605 + 22*b203*b606 + 23*b203*b608 + 36*b203*b611 + 12*b203*
     b613 + 30*b203*b615 + 38*b203*b616 + 4*b203*b617 + 58*b203*b618 + 2*b204*
     b246 + 96*b204*b256 + 25*b204*b268 + 10*b204*b273 + 3*b204*b280 + 16*b204*
     b281 + b204*b284 + 21*b204*b295 + 8*b204*b299 + 8*b204*b301 + 3*b204*b303
      + 4*b204*b308 + 8*b204*b309 + 5*b204*b511 + 14*b204*b512 + 15*b204*b513
      + 20*b204*b515 + 14*b204*b516 + 112*b204*b517 + 19*b204*b518 + 14*b204*
     b519 + 10*b204*b521 + 10*b204*b522 + 11*b204*b523 + 25*b204*b524 + 23*b204
     *b526 + 21*b204*b527 + 49*b204*b529 + 12*b204*b530 + 37*b204*b531 + 20*
     b204*b532 + 25*b204*b533 + 28*b204*b535 + 24*b204*b536 + 71*b204*b540 + 16
     *b204*b541 + 2*b204*b542 + 10*b204*b545 + 72*b204*b546 + 3*b204*b547 + 32*
     b204*b548 + 39*b204*b554 + 11*b204*b561 + 2*b204*b564 + 6*b204*b565 + 4*
     b204*b566 + 2*b204*b567 + 9*b204*b568 + 29*b204*b571 + 17*b204*b573 + 70*
     b204*b574 + 30*b204*b575 + 31*b204*b576 + 14*b204*b577 + 18*b204*b578 + 16
     *b204*b579 + 10*b204*b580 + 9*b204*b581 + 18*b204*b582 + 14*b204*b583 + 2*
     b204*b585 + 94*b204*b590 + 10*b204*b595 + 5*b204*b599 + 9*b204*b602 + 15*
     b204*b607 + 8*b204*b608 + 24*b204*b611 + 126*b204*b612 + 4*b204*b613 + 103
     *b204*b614 + 25*b204*b616 + 13*b204*b617 + 15*b204*b618 + 7*b205*b237 + 41
     *b205*b249 + 17*b205*b254 + 10*b205*b255 + 108*b205*b259 + 100*b205*b262
      + 4*b205*b266 + 5*b205*b268 + 2*b205*b269 + 19*b205*b274 + 11*b205*b282
      + 9*b205*b285 + 41*b205*b289 + 51*b205*b291 + 22*b205*b299 + 57*b205*b301
      + 108*b205*b302 + 77*b205*b307 + 44*b205*b308 + 2*b205*b512 + 5*b205*b514
      + 32*b205*b515 + 7*b205*b516 + 51*b205*b517 + 75*b205*b518 + 5*b205*b519
      + 16*b205*b520 + 19*b205*b522 + 13*b205*b523 + 3*b205*b524 + 76*b205*b527
      + 3*b205*b530 + 78*b205*b532 + 5*b205*b533 + 88*b205*b534 + 128*b205*b535
      + 44*b205*b536 + 42*b205*b538 + 29*b205*b539 + 26*b205*b541 + 9*b205*b542
      + 2*b205*b543 + 20*b205*b545 + 15*b205*b551 + 104*b205*b552 + 24*b205*
     b553 + 36*b205*b554 + 23*b205*b555 + 121*b205*b556 + 78*b205*b561 + 3*b205
     *b565 + 22*b205*b567 + 64*b205*b570 + 6*b205*b571 + 15*b205*b572 + 75*b205
     *b574 + 13*b205*b578 + 16*b205*b579 + 3*b205*b582 + b205*b583 + 117*b205*
     b585 + 27*b205*b588 + 4*b205*b590 + 13*b205*b592 + 85*b205*b595 + 3*b205*
     b598 + 46*b205*b599 + 2*b205*b601 + 8*b205*b602 + 21*b205*b603 + 34*b205*
     b604 + 17*b205*b605 + 23*b205*b608 + 59*b205*b609 + 71*b205*b610 + 22*b205
     *b611 + 54*b205*b613 + 23*b205*b616 + 7*b205*b618 + 18*b206*b246 + 4*b206*
     b254 + 6*b206*b255 + 39*b206*b256 + 3*b206*b257 + 6*b206*b262 + 29*b206*
     b264 + 15*b206*b265 + 3*b206*b266 + 150*b206*b267 + 16*b206*b270 + 22*b206
     *b275 + 46*b206*b277 + 30*b206*b278 + 44*b206*b280 + 8*b206*b281 + 17*b206
     *b282 + 108*b206*b284 + 11*b206*b285 + 6*b206*b287 + 25*b206*b288 + 4*b206
     *b289 + 80*b206*b290 + 25*b206*b292 + 18*b206*b296 + 2*b206*b297 + 55*b206
     *b299 + 60*b206*b302 + 51*b206*b304 + 223*b206*b306 + 273*b206*b307 + 112*
     b206*b511 + 99*b206*b512 + 10*b206*b515 + 69*b206*b516 + 21*b206*b519 + 
     101*b206*b520 + 67*b206*b521 + 75*b206*b522 + b206*b527 + 9*b206*b530 + 23
     *b206*b533 + 2*b206*b534 + 16*b206*b540 + 7*b206*b545 + 39*b206*b547 + 68*
     b206*b548 + 53*b206*b549 + b206*b552 + 66*b206*b553 + 15*b206*b554 + 32*
     b206*b555 + 25*b206*b557 + 29*b206*b558 + 22*b206*b559 + 26*b206*b560 + 14
     *b206*b561 + 25*b206*b562 + 38*b206*b565 + 41*b206*b569 + 139*b206*b570 + 
     71*b206*b571 + 3*b206*b573 + 42*b206*b575 + 4*b206*b577 + 42*b206*b579 + 
     167*b206*b580 + 51*b206*b582 + 90*b206*b583 + 32*b206*b584 + 81*b206*b585
      + 28*b206*b586 + 25*b206*b588 + 28*b206*b591 + 40*b206*b592 + 118*b206*
     b594 + 4*b206*b595 + 7*b206*b597 + 4*b206*b598 + 30*b206*b600 + 66*b206*
     b603 + 19*b206*b604 + 50*b206*b605 + 302*b206*b609 + 21*b206*b611 + 27*
     b206*b615 + 16*b206*b616 + 12*b206*b618 + 6*b207*b237 + 38*b207*b256 + 92*
     b207*b257 + 36*b207*b259 + 51*b207*b261 + 70*b207*b262 + 58*b207*b263 + 23
     *b207*b266 + 4*b207*b267 + b207*b268 + 6*b207*b272 + 7*b207*b275 + 2*b207*
     b276 + 32*b207*b278 + 9*b207*b281 + 4*b207*b285 + 71*b207*b288 + 21*b207*
     b290 + 22*b207*b293 + 3*b207*b297 + 16*b207*b299 + 65*b207*b300 + 146*b207
     *b301 + 79*b207*b302 + 107*b207*b304 + 61*b207*b305 + 63*b207*b306 + 108*
     b207*b307 + 106*b207*b309 + 80*b207*b512 + 35*b207*b513 + 43*b207*b517 + 
     40*b207*b518 + 20*b207*b520 + 12*b207*b521 + 11*b207*b523 + 23*b207*b526
      + 47*b207*b527 + 10*b207*b528 + 13*b207*b530 + 24*b207*b531 + 85*b207*
     b534 + 13*b207*b535 + 55*b207*b538 + 30*b207*b539 + 31*b207*b542 + 33*b207
     *b552 + 89*b207*b554 + 58*b207*b556 + 56*b207*b560 + 25*b207*b562 + 52*
     b207*b564 + 142*b207*b569 + 33*b207*b571 + 4*b207*b573 + 27*b207*b577 + 4*
     b207*b579 + 38*b207*b580 + 16*b207*b582 + b207*b583 + 46*b207*b586 + 8*
     b207*b587 + 17*b207*b593 + 32*b207*b594 + 9*b207*b596 + 23*b207*b597 + 13*
     b207*b599 + 12*b207*b601 + 2*b207*b604 + 34*b207*b606 + 31*b207*b607 + 
     b207*b609 + 37*b207*b611 + 59*b207*b614 + 17*b207*b615 + 22*b207*b616 + 3*
     b207*b617 + 59*b207*b618 + 29*b208*b224 + 7*b208*b237 + 54*b208*b249 + 12*
     b208*b253 + 50*b208*b255 + 30*b208*b256 + 19*b208*b257 + 2*b208*b264 + 9*
     b208*b268 + 64*b208*b271 + 18*b208*b278 + 13*b208*b280 + 37*b208*b282 + 28
     *b208*b283 + 12*b208*b285 + 23*b208*b289 + 29*b208*b293 + 36*b208*b294 + 
     49*b208*b297 + 51*b208*b299 + 55*b208*b302 + 41*b208*b304 + 15*b208*b305
      + 30*b208*b306 + 235*b208*b309 + 138*b208*b513 + b208*b515 + 55*b208*b516
      + 8*b208*b518 + 30*b208*b519 + 72*b208*b520 + 8*b208*b521 + 9*b208*b522
      + 4*b208*b523 + 9*b208*b525 + 29*b208*b528 + 4*b208*b530 + 4*b208*b531 + 
     54*b208*b532 + 39*b208*b534 + 11*b208*b535 + 109*b208*b538 + 25*b208*b539
      + 6*b208*b542 + 9*b208*b543 + 57*b208*b544 + 3*b208*b549 + 4*b208*b552 + 
     20*b208*b555 + 7*b208*b556 + 84*b208*b560 + 49*b208*b561 + 46*b208*b562 + 
     72*b208*b563 + 84*b208*b564 + 34*b208*b565 + 166*b208*b568 + 123*b208*b569
      + 23*b208*b572 + 29*b208*b575 + 4*b208*b576 + 22*b208*b577 + 67*b208*b578
      + 10*b208*b579 + 36*b208*b580 + 58*b208*b581 + 11*b208*b583 + 17*b208*
     b584 + 14*b208*b586 + 13*b208*b587 + 17*b208*b590 + 35*b208*b591 + 3*b208*
     b594 + 20*b208*b595 + 30*b208*b597 + 20*b208*b599 + 10*b208*b602 + 13*b208
     *b604 + 9*b208*b606 + 7*b208*b607 + 149*b208*b608 + 195*b208*b609 + 25*
     b208*b611 + 27*b208*b612 + 30*b208*b613 + 32*b208*b616 + 128*b209*b246 + 
     37*b209*b252 + 9*b209*b253 + 38*b209*b254 + 52*b209*b255 + 14*b209*b257 + 
     35*b209*b260 + b209*b262 + 8*b209*b263 + 9*b209*b265 + 10*b209*b267 + 9*
     b209*b268 + 30*b209*b270 + 4*b209*b271 + 52*b209*b275 + 157*b209*b280 + 4*
     b209*b282 + 3*b209*b285 + 8*b209*b287 + 10*b209*b289 + 24*b209*b290 + 26*
     b209*b292 + 52*b209*b293 + 2*b209*b294 + 21*b209*b295 + 26*b209*b296 + 51*
     b209*b297 + 11*b209*b299 + 41*b209*b300 + 164*b209*b301 + 13*b209*b302 + 
     89*b209*b303 + 12*b209*b306 + 18*b209*b307 + 27*b209*b308 + 3*b209*b514 + 
     b209*b515 + 5*b209*b517 + 40*b209*b519 + 10*b209*b521 + 10*b209*b522 + 9*
     b209*b523 + 64*b209*b524 + 33*b209*b525 + 8*b209*b527 + 28*b209*b528 + 22*
     b209*b530 + b209*b532 + 8*b209*b538 + 63*b209*b539 + 8*b209*b540 + 20*b209
     *b543 + 24*b209*b544 + 2*b209*b545 + 40*b209*b549 + 2*b209*b550 + 31*b209*
     b551 + 23*b209*b553 + 26*b209*b554 + 23*b209*b556 + 37*b209*b560 + 11*b209
     *b562 + 29*b209*b564 + b209*b567 + 49*b209*b570 + 20*b209*b571 + 17*b209*
     b573 + 7*b209*b575 + 26*b209*b576 + 18*b209*b577 + 6*b209*b579 + 11*b209*
     b583 + 3*b209*b585 + 17*b209*b586 + 63*b209*b587 + 38*b209*b589 + 35*b209*
     b591 + 106*b209*b592 + 153*b209*b596 + 26*b209*b597 + 29*b209*b598 + 20*
     b209*b603 + 13*b209*b604 + 3*b209*b606 + 19*b209*b608 + 82*b209*b615 + 44*
     b210*b224 + 8*b210*b237 + 16*b210*b249 + 30*b210*b252 + 60*b210*b256 + 4*
     b210*b259 + 35*b210*b261 + 112*b210*b264 + 9*b210*b266 + 55*b210*b267 + 35
     *b210*b268 + 22*b210*b270 + 21*b210*b278 + 46*b210*b279 + 4*b210*b280 + 15
     *b210*b282 + 12*b210*b285 + 8*b210*b286 + b210*b291 + 133*b210*b303 + 23*
     b210*b307 + 97*b210*b309 + b210*b512 + 10*b210*b516 + 2*b210*b519 + 18*
     b210*b520 + 23*b210*b521 + 2*b210*b522 + 25*b210*b523 + 28*b210*b525 + 20*
     b210*b527 + 17*b210*b528 + 49*b210*b531 + 10*b210*b532 + 26*b210*b534 + 28
     *b210*b535 + 8*b210*b536 + 7*b210*b537 + 36*b210*b540 + 16*b210*b545 + 145
     *b210*b546 + 32*b210*b550 + 8*b210*b553 + 51*b210*b554 + 6*b210*b560 + 
     b210*b562 + 7*b210*b565 + 134*b210*b566 + 102*b210*b567 + 124*b210*b569 + 
     11*b210*b572 + 149*b210*b574 + 4*b210*b577 + b210*b581 + 25*b210*b582 + 35
     *b210*b583 + 107*b210*b584 + 106*b210*b585 + 93*b210*b586 + 19*b210*b587
      + 8*b210*b589 + 9*b210*b593 + 22*b210*b594 + 17*b210*b598 + 58*b210*b599
      + 6*b210*b602 + 129*b210*b603 + 18*b210*b605 + 27*b210*b606 + 127*b210*
     b610 + 5*b210*b611 + 90*b210*b612 + 21*b210*b614 + 9*b210*b617 + 140*b210*
     b618 + 9*b211*b224 + 4*b211*b249 + 40*b211*b252 + 27*b211*b253 + b211*b254
      + 29*b211*b255 + 32*b211*b260 + 95*b211*b262 + 23*b211*b263 + 80*b211*
     b264 + 2*b211*b267 + 11*b211*b269 + 5*b211*b270 + 93*b211*b271 + 18*b211*
     b272 + 23*b211*b279 + 35*b211*b280 + 12*b211*b281 + 42*b211*b282 + b211*
     b284 + b211*b288 + 66*b211*b289 + 4*b211*b296 + 9*b211*b299 + 182*b211*
     b303 + 175*b211*b305 + 83*b211*b511 + 20*b211*b514 + 18*b211*b515 + 12*
     b211*b520 + 64*b211*b521 + 20*b211*b522 + 24*b211*b523 + 9*b211*b524 + 43*
     b211*b527 + 18*b211*b529 + 5*b211*b530 + 25*b211*b531 + 22*b211*b533 + 7*
     b211*b534 + 2*b211*b536 + 12*b211*b538 + 2*b211*b542 + 70*b211*b543 + 25*
     b211*b549 + 38*b211*b550 + 37*b211*b551 + 131*b211*b552 + 8*b211*b553 + 6*
     b211*b554 + 2*b211*b555 + 31*b211*b556 + 41*b211*b558 + 38*b211*b559 + 18*
     b211*b563 + 27*b211*b565 + 110*b211*b566 + 113*b211*b567 + 79*b211*b568 + 
     228*b211*b569 + 7*b211*b570 + 24*b211*b572 + 69*b211*b574 + 6*b211*b575 + 
     71*b211*b576 + 11*b211*b578 + 13*b211*b581 + 43*b211*b582 + 38*b211*b583
      + 43*b211*b586 + 32*b211*b589 + 11*b211*b591 + 23*b211*b593 + 91*b211*
     b595 + 51*b211*b598 + 13*b211*b599 + 5*b211*b600 + 9*b211*b602 + 153*b211*
     b603 + 12*b211*b604 + 34*b211*b605 + 29*b211*b606 + 2*b211*b607 + 22*b211*
     b608 + 102*b211*b610 + 5*b211*b615 + 21*b212*b237 + 24*b212*b249 + 37*b212
     *b255 + b212*b256 + 15*b212*b257 + 37*b212*b259 + 23*b212*b262 + 39*b212*
     b264 + 36*b212*b265 + 8*b212*b267 + 17*b212*b268 + 8*b212*b274 + b212*b277
      + 148*b212*b278 + 46*b212*b280 + 49*b212*b281 + 20*b212*b282 + 64*b212*
     b284 + 12*b212*b287 + 24*b212*b288 + 50*b212*b289 + 68*b212*b293 + 32*b212
     *b297 + 7*b212*b300 + 144*b212*b301 + 294*b212*b304 + 4*b212*b305 + 83*
     b212*b307 + 46*b212*b308 + 21*b212*b511 + b212*b514 + 39*b212*b517 + 8*
     b212*b521 + b212*b523 + 148*b212*b524 + 49*b212*b525 + 20*b212*b526 + 64*
     b212*b528 + 12*b212*b531 + 24*b212*b532 + 68*b212*b533 + 32*b212*b536 + 17
     *b212*b538 + 74*b212*b539 + 8*b212*b540 + 12*b212*b545 + 24*b212*b548 + 19
     *b212*b550 + 14*b212*b552 + 43*b212*b554 + 22*b212*b555 + 16*b212*b557 + 
     10*b212*b559 + 59*b212*b560 + 16*b212*b561 + 13*b212*b562 + 42*b212*b564
      + 7*b212*b565 + 294*b212*b567 + 83*b212*b568 + 46*b212*b569 + 24*b212*
     b573 + 15*b212*b574 + 37*b212*b575 + 144*b212*b584 + 4*b212*b585 + 19*b212
     *b590 + b212*b591 + 25*b212*b593 + 61*b212*b598 + 36*b212*b599 + 17*b212*
     b600 + 46*b212*b601 + 11*b212*b608 + 23*b212*b612 + 8*b212*b613 + 50*b212*
     b614 + 37*b212*b617 + 20*b213*b249 + 16*b213*b253 + 21*b213*b254 + 45*b213
     *b255 + 64*b213*b256 + 17*b213*b259 + 11*b213*b260 + 16*b213*b262 + 15*
     b213*b263 + 13*b213*b266 + 9*b213*b267 + 20*b213*b269 + 25*b213*b275 + 155
     *b213*b276 + 15*b213*b279 + 73*b213*b281 + 14*b213*b283 + 78*b213*b284 + 
     122*b213*b285 + 21*b213*b286 + 69*b213*b287 + 8*b213*b289 + 43*b213*b290
      + 4*b213*b292 + 43*b213*b293 + 5*b213*b294 + 19*b213*b295 + 22*b213*b296
      + 63*b213*b298 + b213*b299 + 77*b213*b302 + 23*b213*b304 + 379*b213*b305
      + 172*b213*b306 + 40*b213*b307 + 68*b213*b511 + 132*b213*b515 + 42*b213*
     b517 + 30*b213*b518 + 15*b213*b519 + 150*b213*b520 + 65*b213*b521 + 75*
     b213*b523 + 27*b213*b524 + 40*b213*b526 + 7*b213*b532 + 30*b213*b536 + 30*
     b213*b540 + 18*b213*b542 + 46*b213*b543 + 11*b213*b546 + 10*b213*b547 + 60
     *b213*b549 + 2*b213*b551 + 15*b213*b552 + 54*b213*b555 + 36*b213*b558 + 24
     *b213*b563 + 114*b213*b565 + 26*b213*b569 + 169*b213*b570 + 27*b213*b571
      + 23*b213*b572 + 17*b213*b574 + 32*b213*b580 + 142*b213*b584 + 2*b213*
     b588 + 36*b213*b589 + b213*b590 + 22*b213*b593 + 143*b213*b594 + 82*b213*
     b595 + 16*b213*b599 + 80*b213*b601 + 10*b213*b607 + 97*b213*b609 + 23*b213
     *b615 + 30*b213*b616 + 35*b214*b249 + 35*b214*b252 + 31*b214*b254 + 13*
     b214*b255 + 55*b214*b261 + 3*b214*b264 + 16*b214*b265 + 31*b214*b271 + 64*
     b214*b273 + 7*b214*b275 + 23*b214*b279 + 61*b214*b280 + 29*b214*b286 + 8*
     b214*b291 + 16*b214*b294 + 5*b214*b295 + 62*b214*b297 + 105*b214*b305 + 
     378*b214*b306 + 151*b214*b307 + 323*b214*b308 + 67*b214*b511 + 21*b214*
     b514 + 2*b214*b516 + 53*b214*b518 + 4*b214*b519 + 81*b214*b521 + 174*b214*
     b522 + 53*b214*b523 + 33*b214*b524 + 30*b214*b525 + 12*b214*b526 + 88*b214
     *b528 + 61*b214*b529 + 110*b214*b531 + 7*b214*b533 + 93*b214*b537 + 74*
     b214*b539 + 72*b214*b541 + 41*b214*b542 + 15*b214*b543 + 20*b214*b546 + 7*
     b214*b548 + 59*b214*b550 + 14*b214*b551 + 35*b214*b552 + 9*b214*b553 + 21*
     b214*b561 + 9*b214*b563 + 60*b214*b566 + 38*b214*b567 + 164*b214*b570 + 5*
     b214*b571 + 32*b214*b572 + 42*b214*b574 + 17*b214*b575 + 58*b214*b576 + 36
     *b214*b577 + 13*b214*b581 + 155*b214*b583 + 213*b214*b584 + 18*b214*b588
      + 43*b214*b589 + 22*b214*b590 + 13*b214*b591 + 47*b214*b592 + 58*b214*
     b593 + 32*b214*b596 + 10*b214*b597 + b214*b598 + 55*b214*b600 + 59*b214*
     b602 + 37*b214*b603 + 30*b214*b605 + 39*b214*b606 + 4*b214*b607 + 45*b214*
     b609 + 11*b214*b611 + 23*b214*b612 + 9*b214*b613 + 9*b214*b614 + 2*b215*
     b252 + 17*b215*b255 + 25*b215*b257 + 35*b215*b259 + 19*b215*b260 + 64*b215
     *b267 + 100*b215*b270 + 20*b215*b271 + 3*b215*b272 + 23*b215*b274 + 18*
     b215*b275 + 2*b215*b276 + 6*b215*b280 + 10*b215*b281 + 10*b215*b286 + 8*
     b215*b287 + 67*b215*b289 + 5*b215*b293 + 65*b215*b295 + 34*b215*b296 + 9*
     b215*b297 + 38*b215*b299 + 23*b215*b300 + 29*b215*b301 + 80*b215*b302 + 60
     *b215*b303 + 167*b215*b304 + 191*b215*b305 + 148*b215*b306 + 72*b215*b307
      + 40*b215*b308 + 137*b215*b309 + 15*b215*b511 + 12*b215*b512 + 20*b215*
     b513 + 27*b215*b514 + 6*b215*b515 + 7*b215*b516 + 14*b215*b520 + 9*b215*
     b523 + 13*b215*b524 + 5*b215*b526 + 32*b215*b527 + 24*b215*b528 + 39*b215*
     b529 + 47*b215*b532 + 11*b215*b539 + 33*b215*b540 + 46*b215*b542 + 110*
     b215*b545 + 8*b215*b546 + 9*b215*b549 + 13*b215*b550 + 15*b215*b551 + 4*
     b215*b554 + 16*b215*b555 + 31*b215*b557 + 44*b215*b558 + 30*b215*b561 + 38
     *b215*b562 + 67*b215*b563 + 47*b215*b571 + 16*b215*b572 + 18*b215*b573 + 
     17*b215*b576 + 8*b215*b577 + 6*b215*b579 + 11*b215*b580 + 2*b215*b581 + 22
     *b215*b582 + 18*b215*b583 + b215*b588 + 35*b215*b590 + 12*b215*b592 + 51*
     b215*b593 + 44*b215*b594 + 78*b215*b595 + 14*b215*b596 + 6*b215*b597 + 13*
     b215*b598 + 29*b215*b599 + 36*b215*b600 + 13*b215*b602 + b215*b604 + 9*
     b215*b605 + 11*b215*b606 + 56*b215*b612 + 30*b216*b252 + 45*b216*b253 + 16
     *b216*b260 + 23*b216*b261 + 56*b216*b263 + 102*b216*b264 + 52*b216*b265 + 
     100*b216*b267 + 12*b216*b268 + 19*b216*b269 + 27*b216*b270 + 99*b216*b271
      + 14*b216*b276 + 11*b216*b279 + 29*b216*b280 + 38*b216*b281 + 11*b216*
     b283 + 21*b216*b284 + 31*b216*b285 + 12*b216*b286 + 11*b216*b287 + 64*b216
     *b289 + 12*b216*b290 + 14*b216*b296 + b216*b297 + 23*b216*b299 + 45*b216*
     b300 + 82*b216*b303 + 163*b216*b307 + 79*b216*b308 + 38*b216*b511 + 21*
     b216*b513 + 106*b216*b514 + 36*b216*b519 + 24*b216*b520 + 28*b216*b521 + 
     11*b216*b523 + 19*b216*b524 + 11*b216*b526 + 19*b216*b532 + 26*b216*b533
      + 14*b216*b534 + 41*b216*b538 + 45*b216*b541 + 2*b216*b542 + 24*b216*b544
      + 23*b216*b548 + 20*b216*b550 + 44*b216*b551 + 25*b216*b553 + 78*b216*
     b554 + 4*b216*b557 + 31*b216*b558 + 64*b216*b560 + 74*b216*b564 + 156*b216
     *b566 + 111*b216*b567 + 130*b216*b570 + 9*b216*b571 + 3*b216*b572 + 21*
     b216*b573 + 20*b216*b574 + 69*b216*b575 + 39*b216*b576 + 23*b216*b581 + 3*
     b216*b582 + 27*b216*b583 + 216*b216*b584 + 196*b216*b585 + 2*b216*b588 + 7
     *b216*b590 + 32*b216*b593 + 14*b216*b594 + 4*b216*b596 + 12*b216*b597 + 27
     *b216*b598 + b216*b604 + 112*b216*b610 + 45*b216*b612 + 6*b216*b617 + 95*
     b217*b224 + 57*b217*b237 + 18*b217*b246 + 138*b217*b253 + 4*b217*b254 + 14
     *b217*b261 + 17*b217*b263 + 80*b217*b266 + 12*b217*b267 + 8*b217*b268 + 55
     *b217*b270 + 25*b217*b272 + 8*b217*b275 + 38*b217*b276 + 19*b217*b277 + 30
     *b217*b284 + 22*b217*b291 + 7*b217*b292 + 53*b217*b295 + 43*b217*b296 + 23
     *b217*b298 + 118*b217*b300 + 57*b217*b301 + 26*b217*b303 + 177*b217*b304
      + 225*b217*b305 + 234*b217*b308 + 36*b217*b514 + 27*b217*b517 + b217*b520
      + 5*b217*b521 + 19*b217*b524 + 64*b217*b525 + 22*b217*b526 + 114*b217*
     b527 + 67*b217*b529 + 31*b217*b530 + 2*b217*b531 + 35*b217*b532 + 18*b217*
     b533 + 29*b217*b536 + 6*b217*b537 + 25*b217*b540 + 27*b217*b546 + 19*b217*
     b550 + 3*b217*b551 + 49*b217*b554 + 45*b217*b555 + 23*b217*b557 + 6*b217*
     b559 + 54*b217*b562 + 71*b217*b563 + b217*b566 + 118*b217*b568 + 194*b217*
     b570 + 5*b217*b573 + 5*b217*b574 + 24*b217*b575 + 46*b217*b579 + 23*b217*
     b582 + 42*b217*b586 + 18*b217*b587 + 34*b217*b588 + 6*b217*b589 + 6*b217*
     b594 + 25*b217*b596 + 12*b217*b597 + 8*b217*b598 + 29*b217*b599 + 11*b217*
     b601 + 6*b217*b602 + 52*b217*b603 + b217*b604 + 25*b217*b605 + 112*b217*
     b608 + 158*b217*b610 + 31*b217*b611 + 17*b217*b612 + 24*b217*b614 + 18*
     b217*b616 + 45*b217*b617 + 24*b217*b618 + 8*b218*b246 + 5*b218*b254 + 30*
     b218*b255 + 5*b218*b260 + 13*b218*b263 + 45*b218*b264 + 2*b218*b271 + 19*
     b218*b272 + 147*b218*b273 + 51*b218*b275 + 151*b218*b277 + 6*b218*b278 + 
     42*b218*b279 + 47*b218*b281 + 12*b218*b283 + 71*b218*b284 + 8*b218*b285 + 
     37*b218*b289 + 20*b218*b292 + 33*b218*b297 + 14*b218*b299 + 21*b218*b300
      + 25*b218*b302 + 10*b218*b304 + 482*b218*b305 + 223*b218*b306 + 73*b218*
     b307 + 155*b218*b308 + 108*b218*b511 + 31*b218*b512 + b218*b514 + 39*b218*
     b515 + 36*b218*b518 + 61*b218*b521 + 185*b218*b522 + b218*b530 + 16*b218*
     b531 + 19*b218*b532 + 50*b218*b533 + 18*b218*b534 + 19*b218*b535 + 12*b218
     *b538 + 2*b218*b539 + 62*b218*b541 + 25*b218*b542 + 12*b218*b543 + 10*b218
     *b544 + 59*b218*b550 + 29*b218*b553 + 15*b218*b554 + 10*b218*b555 + 22*
     b218*b560 + 6*b218*b563 + 4*b218*b564 + 264*b218*b570 + 127*b218*b571 + 12
     *b218*b573 + 62*b218*b574 + 5*b218*b575 + 79*b218*b576 + 17*b218*b577 + 
     118*b218*b580 + 9*b218*b582 + 52*b218*b583 + 275*b218*b584 + 18*b218*b586
      + 8*b218*b591 + 95*b218*b594 + 43*b218*b597 + 17*b218*b598 + 110*b218*
     b599 + 49*b218*b600 + 143*b218*b602 + 25*b218*b604 + 2*b218*b605 + 34*b218
     *b606 + 69*b218*b609 + 33*b218*b613 + 12*b218*b616 + b219*b237 + 23*b219*
     b249 + 13*b219*b253 + 25*b219*b255 + 100*b219*b256 + 66*b219*b257 + 4*b219
     *b260 + 82*b219*b262 + 28*b219*b263 + 2*b219*b266 + 17*b219*b267 + 12*b219
     *b270 + 45*b219*b271 + 11*b219*b272 + 23*b219*b275 + 10*b219*b278 + 4*b219
     *b283 + 9*b219*b284 + 102*b219*b285 + b219*b286 + 3*b219*b292 + 25*b219*
     b293 + 6*b219*b294 + 6*b219*b295 + b219*b296 + 18*b219*b300 + 134*b219*
     b301 + 6*b219*b302 + 103*b219*b303 + 25*b219*b304 + 158*b219*b305 + 89*
     b219*b306 + 81*b219*b307 + 18*b219*b309 + 23*b219*b513 + 25*b219*b515 + 10
     *b219*b517 + 26*b219*b520 + 31*b219*b521 + 13*b219*b522 + 2*b219*b525 + 39
     *b219*b526 + 36*b219*b531 + 36*b219*b532 + 24*b219*b536 + 3*b219*b537 + 9*
     b219*b539 + 35*b219*b540 + 3*b219*b544 + 12*b219*b547 + 21*b219*b549 + 
     b219*b553 + 6*b219*b555 + b219*b558 + 14*b219*b560 + 100*b219*b569 + 22*
     b219*b571 + 23*b219*b572 + 24*b219*b575 + 3*b219*b577 + 55*b219*b579 + 2*
     b219*b580 + 13*b219*b583 + 54*b219*b586 + 52*b219*b589 + 3*b219*b593 + 20*
     b219*b594 + 22*b219*b595 + 3*b219*b596 + 9*b219*b598 + 25*b219*b599 + 11*
     b219*b600 + 17*b219*b601 + 31*b219*b602 + 26*b219*b606 + 7*b219*b614 + 19*
     b219*b616 + 104*b220*b224 + 70*b220*b237 + 132*b220*b253 + 117*b220*b261
      + 23*b220*b262 + 64*b220*b263 + 31*b220*b265 + 19*b220*b270 + 68*b220*
     b271 + 11*b220*b274 + 27*b220*b277 + 12*b220*b278 + 33*b220*b279 + 34*b220
     *b281 + 46*b220*b282 + 31*b220*b283 + 21*b220*b284 + 24*b220*b285 + 6*b220
     *b287 + 6*b220*b289 + 37*b220*b290 + 42*b220*b291 + 83*b220*b295 + 7*b220*
     b296 + 29*b220*b298 + 58*b220*b302 + 24*b220*b305 + 194*b220*b306 + 41*
     b220*b513 + 44*b220*b514 + 4*b220*b517 + 14*b220*b519 + 60*b220*b520 + 7*
     b220*b522 + 40*b220*b530 + 41*b220*b532 + 42*b220*b533 + 23*b220*b536 + 2*
     b220*b537 + 8*b220*b538 + 28*b220*b539 + 49*b220*b545 + 22*b220*b547 + 29*
     b220*b548 + 24*b220*b552 + 12*b220*b554 + 24*b220*b555 + 36*b220*b556 + 57
     *b220*b557 + 14*b220*b561 + 37*b220*b563 + 72*b220*b564 + 280*b220*b565 + 
     85*b220*b567 + 58*b220*b568 + 4*b220*b569 + 27*b220*b570 + 28*b220*b572 + 
     40*b220*b573 + 31*b220*b574 + 7*b220*b575 + 3*b220*b576 + 11*b220*b577 + 3
     *b220*b578 + 31*b220*b581 + 15*b220*b582 + 205*b220*b584 + 6*b220*b586 + 
     41*b220*b589 + 87*b220*b591 + 6*b220*b596 + 38*b220*b600 + 25*b220*b601 + 
     20*b220*b603 + 4*b220*b604 + 32*b220*b605 + 19*b220*b606 + 19*b220*b608 + 
     123*b220*b609 + 54*b220*b611 + 46*b220*b613 + 9*b220*b615 + 47*b220*b616
      + 32*b220*b617 + 27*b221*b224 + 19*b221*b237 + b221*b252 + 167*b221*b257
      + 96*b221*b262 + 159*b221*b264 + 142*b221*b265 + 13*b221*b267 + 66*b221*
     b268 + 82*b221*b271 + 117*b221*b273 + 20*b221*b276 + 21*b221*b277 + 17*
     b221*b279 + 6*b221*b282 + 176*b221*b285 + 13*b221*b287 + b221*b288 + 79*
     b221*b289 + 5*b221*b291 + 8*b221*b292 + 9*b221*b296 + b221*b298 + 61*b221*
     b303 + 3*b221*b512 + 9*b221*b513 + 3*b221*b514 + 20*b221*b515 + 10*b221*
     b518 + 7*b221*b519 + 5*b221*b521 + 8*b221*b524 + 84*b221*b525 + 48*b221*
     b527 + 20*b221*b528 + 8*b221*b530 + 17*b221*b533 + 6*b221*b534 + 40*b221*
     b536 + 46*b221*b537 + 9*b221*b538 + b221*b539 + 6*b221*b540 + 27*b221*b541
      + 150*b221*b548 + 7*b221*b553 + 6*b221*b557 + 19*b221*b559 + b221*b564 + 
     44*b221*b565 + 103*b221*b566 + 233*b221*b567 + 130*b221*b568 + 158*b221*
     b569 + 95*b221*b570 + 8*b221*b572 + 10*b221*b573 + 89*b221*b575 + 40*b221*
     b576 + 8*b221*b577 + 7*b221*b578 + 36*b221*b582 + 112*b221*b584 + 9*b221*
     b585 + 39*b221*b586 + 7*b221*b588 + 45*b221*b589 + 34*b221*b592 + 29*b221*
     b596 + 8*b221*b601 + 38*b221*b602 + 12*b221*b608 + 171*b221*b610 + 8*b221*
     b611 + 3*b221*b615 + 12*b221*b617 + 126*b222*b246 + 11*b222*b253 + 55*b222
     *b254 + 10*b222*b260 + 3*b222*b262 + 8*b222*b263 + 16*b222*b265 + 16*b222*
     b266 + 3*b222*b267 + b222*b268 + 36*b222*b269 + 8*b222*b271 + 9*b222*b276
      + 17*b222*b279 + 47*b222*b280 + 41*b222*b281 + 97*b222*b282 + 8*b222*b284
      + 39*b222*b285 + 41*b222*b286 + 10*b222*b287 + 15*b222*b290 + 78*b222*
     b293 + 72*b222*b297 + 85*b222*b304 + 253*b222*b306 + 82*b222*b511 + 6*b222
     *b514 + 32*b222*b515 + 2*b222*b517 + 55*b222*b518 + 23*b222*b519 + 40*b222
     *b520 + 83*b222*b521 + 60*b222*b523 + 38*b222*b524 + 25*b222*b532 + 33*
     b222*b534 + b222*b535 + 11*b222*b540 + 24*b222*b544 + 4*b222*b545 + 5*b222
     *b546 + b222*b547 + 24*b222*b548 + 47*b222*b549 + 2*b222*b552 + 33*b222*
     b554 + 24*b222*b556 + 24*b222*b558 + 36*b222*b563 + 5*b222*b564 + 73*b222*
     b565 + 498*b222*b566 + 31*b222*b568 + 123*b222*b569 + 11*b222*b570 + 16*
     b222*b571 + 16*b222*b573 + 28*b222*b574 + 23*b222*b575 + 30*b222*b578 + 49
     *b222*b580 + 49*b222*b581 + 2*b222*b582 + 22*b222*b583 + 123*b222*b584 + 
     10*b222*b585 + 223*b222*b587 + 26*b222*b588 + 64*b222*b589 + 4*b222*b590
      + 149*b222*b592 + 12*b222*b594 + 5*b222*b595 + 24*b222*b597 + 87*b222*
     b606 + 137*b222*b607 + 66*b222*b609 + 12*b222*b614 + 113*b222*b616 + 19*
     b222*b617 + 22*b223*b237 + 54*b223*b246 + 7*b223*b249 + 7*b223*b254 + 87*
     b223*b255 + 27*b223*b259 + 20*b223*b260 + 14*b223*b262 + 16*b223*b263 + 21
     *b223*b264 + 9*b223*b265 + b223*b271 + 17*b223*b272 + 23*b223*b275 + 5*
     b223*b277 + 129*b223*b278 + 70*b223*b282 + 34*b223*b283 + 28*b223*b288 + 
     16*b223*b289 + 40*b223*b290 + 16*b223*b291 + 89*b223*b293 + 8*b223*b295 + 
     22*b223*b298 + 19*b223*b299 + 101*b223*b300 + 280*b223*b301 + 129*b223*
     b302 + 226*b223*b303 + 107*b223*b307 + 93*b223*b308 + 4*b223*b512 + 13*
     b223*b514 + 32*b223*b515 + 15*b223*b518 + 39*b223*b520 + 14*b223*b521 + 17
     *b223*b522 + 9*b223*b525 + 28*b223*b528 + 21*b223*b529 + 21*b223*b530 + 23
     *b223*b531 + 27*b223*b535 + 35*b223*b536 + 10*b223*b538 + 9*b223*b540 + 20
     *b223*b545 + 12*b223*b546 + 5*b223*b548 + 44*b223*b549 + 11*b223*b550 + 2*
     b223*b554 + 75*b223*b555 + 6*b223*b559 + 3*b223*b560 + 70*b223*b567 + 56*
     b223*b570 + 29*b223*b571 + 27*b223*b574 + 53*b223*b576 + 10*b223*b577 + 27
     *b223*b579 + 24*b223*b581 + 36*b223*b582 + 192*b223*b585 + 12*b223*b591 + 
     8*b223*b593 + 26*b223*b598 + 28*b223*b601 + 42*b223*b603 + 31*b223*b604 + 
     32*b223*b605 + 141*b223*b610 + 30*b223*b615 + 50*b223*b616 + 21*b224*b225
      + 9*b224*b227 + 33*b224*b228 + 12*b224*b229 + 9*b224*b231 + 33*b224*b233
      + 79*b224*b234 + 15*b224*b235 + 23*b224*b236 + 25*b224*b311 + 75*b224*
     b314 + 37*b224*b315 + 20*b224*b316 + 109*b224*b319 + 21*b224*b320 + 31*
     b224*b321 + 18*b224*b325 + 33*b224*b327 + 42*b224*b328 + 6*b224*b329 + 141
     *b224*b331 + 9*b224*b333 + 82*b224*b338 + 6*b224*b343 + 46*b224*b345 + 90*
     b224*b348 + 64*b224*b349 + 9*b224*b350 + 179*b224*b355 + 34*b224*b361 + 23
     *b224*b369 + 16*b224*b375 + 29*b224*b378 + 9*b224*b380 + 79*b224*b381 + 
     104*b224*b384 + 27*b224*b385 + 23*b224*b386 + 7*b224*b401 + 31*b224*b402
      + 50*b224*b403 + 9*b224*b404 + 35*b224*b405 + 64*b224*b406 + 2*b224*b407
      + 33*b224*b408 + 7*b224*b409 + 49*b224*b410 + 8*b224*b411 + 18*b224*b412
      + 5*b224*b413 + 16*b224*b414 + 30*b224*b415 + 8*b224*b416 + 13*b224*b417
      + 33*b224*b418 + 27*b224*b419 + 44*b224*b420 + 95*b224*b421 + 25*b224*
     b422 + 2*b224*b432 + 3*b224*b453 + 121*b224*b454 + 12*b224*b455 + 41*b224*
     b456 + 8*b224*b457 + 20*b224*b459 + 23*b224*b460 + 58*b224*b461 + 56*b224*
     b478 + 11*b224*b479 + 14*b224*b480 + 15*b224*b481 + 75*b224*b482 + 7*b224*
     b483 + b224*b493 + 24*b224*b494 + 22*b224*b503 + 114*b224*b507 + 11*b224*
     b509 + 12*b225*b246 + 23*b225*b249 + 5*b225*b254 + 9*b225*b260 + 148*b225*
     b264 + 8*b225*b266 + 11*b225*b267 + 2*b225*b271 + 14*b225*b272 + 9*b225*
     b273 + 14*b225*b274 + 10*b225*b275 + 19*b225*b278 + 30*b225*b279 + 12*b225
     *b280 + 42*b225*b283 + 6*b225*b284 + 53*b225*b285 + 21*b225*b288 + 21*b225
     *b292 + 7*b225*b294 + 26*b225*b296 + 7*b225*b297 + 19*b225*b298 + 70*b225*
     b300 + 135*b225*b302 + 43*b225*b306 + 133*b225*b308 + 18*b225*b309 + 5*
     b225*b513 + 148*b225*b517 + 14*b225*b519 + 9*b225*b520 + 14*b225*b521 + 19
     *b225*b524 + 42*b225*b527 + 6*b225*b528 + 53*b225*b529 + 21*b225*b532 + 26
     *b225*b535 + 7*b225*b536 + 8*b225*b539 + 12*b225*b543 + 6*b225*b544 + 18*
     b225*b546 + 10*b225*b547 + 31*b225*b549 + 15*b225*b550 + 23*b225*b551 + 35
     *b225*b552 + b225*b555 + 21*b225*b561 + 14*b225*b562 + 70*b225*b565 + 135*
     b225*b566 + 133*b225*b569 + 18*b225*b570 + 21*b225*b571 + 12*b225*b572 + 
     23*b225*b573 + 8*b225*b576 + 10*b225*b578 + 30*b225*b579 + 21*b225*b581 + 
     7*b225*b582 + 19*b225*b583 + 13*b225*b587 + 49*b225*b591 + 12*b225*b601 + 
     57*b225*b603 + 22*b225*b605 + 29*b225*b606 + 43*b225*b610 + 9*b225*b611 + 
     11*b225*b613 + 2*b225*b618 + 150*b226*b249 + 22*b226*b254 + 150*b226*b255
      + 5*b226*b257 + 11*b226*b259 + 65*b226*b260 + 38*b226*b261 + 22*b226*b262
      + 26*b226*b263 + 10*b226*b264 + 9*b226*b265 + 4*b226*b269 + 15*b226*b271
      + 21*b226*b273 + 13*b226*b276 + 99*b226*b278 + 39*b226*b280 + 239*b226*
     b282 + 13*b226*b283 + 3*b226*b289 + 23*b226*b292 + 76*b226*b293 + 5*b226*
     b294 + 7*b226*b295 + 7*b226*b297 + 108*b226*b300 + 18*b226*b301 + 264*b226
     *b302 + 124*b226*b303 + 26*b226*b307 + 56*b226*b308 + 102*b226*b309 + 62*
     b226*b511 + 26*b226*b512 + 12*b226*b514 + 38*b226*b518 + 19*b226*b519 + 26
     *b226*b523 + 17*b226*b525 + 30*b226*b528 + 36*b226*b529 + 35*b226*b531 + 
     19*b226*b532 + 9*b226*b535 + 18*b226*b537 + 43*b226*b539 + b226*b541 + 30*
     b226*b543 + 2*b226*b547 + 35*b226*b548 + 14*b226*b551 + 15*b226*b553 + 64*
     b226*b555 + 32*b226*b559 + 30*b226*b560 + 32*b226*b562 + 116*b226*b567 + 
     15*b226*b571 + 23*b226*b572 + 27*b226*b576 + 62*b226*b578 + 5*b226*b579 + 
     24*b226*b580 + 13*b226*b583 + 97*b226*b585 + 9*b226*b589 + 8*b226*b593 + 
     14*b226*b595 + 25*b226*b598 + 59*b226*b602 + 49*b226*b605 + 241*b226*b610
      + 5*b226*b613 + 56*b226*b616 + 99*b227*b252 + 40*b227*b259 + 26*b227*b260
      + 26*b227*b264 + 13*b227*b265 + 100*b227*b272 + 21*b227*b275 + 68*b227*
     b278 + 77*b227*b280 + 2*b227*b281 + b227*b282 + 14*b227*b288 + 4*b227*b289
      + 18*b227*b290 + 25*b227*b292 + 192*b227*b293 + 20*b227*b296 + b227*b297
      + 6*b227*b299 + 131*b227*b300 + 304*b227*b301 + 196*b227*b302 + 81*b227*
     b303 + 12*b227*b511 + 15*b227*b512 + 15*b227*b514 + 6*b227*b516 + 40*b227*
     b518 + 44*b227*b520 + 45*b227*b521 + 2*b227*b523 + 7*b227*b527 + 33*b227*
     b528 + 28*b227*b529 + 30*b227*b530 + 31*b227*b531 + 24*b227*b534 + 78*b227
     *b539 + 19*b227*b543 + 9*b227*b545 + b227*b546 + 19*b227*b548 + 24*b227*
     b550 + 81*b227*b551 + 78*b227*b555 + 15*b227*b556 + 95*b227*b557 + 28*b227
     *b558 + 2*b227*b559 + 2*b227*b560 + 6*b227*b564 + 183*b227*b567 + 86*b227*
     b568 + 72*b227*b569 + 7*b227*b570 + 63*b227*b572 + 4*b227*b573 + 31*b227*
     b574 + 21*b227*b576 + 112*b227*b577 + 10*b227*b579 + 39*b227*b580 + 4*b227
     *b582 + 13*b227*b583 + 81*b227*b585 + 46*b227*b586 + 149*b227*b587 + 19*
     b227*b591 + 15*b227*b593 + 6*b227*b595 + 38*b227*b598 + 7*b227*b600 + 28*
     b227*b603 + 3*b227*b604 + 20*b227*b605 + 229*b227*b610 + 3*b227*b612 + 
     b227*b613 + 35*b227*b617 + 25*b227*b618 + 16*b228*b237 + 78*b228*b246 + 14
     *b228*b256 + 14*b228*b261 + 19*b228*b262 + 35*b228*b264 + 43*b228*b265 + 
     17*b228*b272 + b228*b275 + 40*b228*b277 + 25*b228*b278 + 20*b228*b281 + 
     126*b228*b282 + 17*b228*b284 + 39*b228*b285 + 47*b228*b286 + 28*b228*b288
      + 28*b228*b289 + b228*b290 + 12*b228*b291 + 92*b228*b293 + 6*b228*b298 + 
     25*b228*b300 + 128*b228*b302 + 123*b228*b303 + 87*b228*b308 + 260*b228*
     b309 + 16*b228*b511 + 14*b228*b514 + 14*b228*b515 + 35*b228*b517 + 17*b228
     *b519 + 40*b228*b523 + 25*b228*b524 + 20*b228*b525 + 126*b228*b526 + 17*
     b228*b528 + 39*b228*b529 + 47*b228*b530 + 28*b228*b532 + 92*b228*b533 + 66
     *b228*b541 + b228*b543 + 17*b228*b544 + 8*b228*b545 + 53*b228*b547 + 6*
     b228*b553 + 7*b228*b554 + 16*b228*b556 + 42*b228*b560 + 66*b228*b562 + 17*
     b228*b564 + 25*b228*b565 + 128*b228*b566 + 87*b228*b569 + 260*b228*b570 + 
     33*b228*b571 + 78*b228*b572 + b228*b578 + 12*b228*b580 + 6*b228*b583 + 17*
     b228*b586 + 107*b228*b587 + 131*b228*b588 + 17*b228*b591 + 87*b228*b592 + 
     13*b228*b593 + 43*b228*b596 + 43*b228*b599 + b228*b602 + 8*b228*b603 + 12*
     b228*b607 + 78*b228*b608 + 123*b228*b609 + 19*b228*b612 + 28*b228*b614 + 4
     *b229*b254 + 34*b229*b260 + 51*b229*b261 + 25*b229*b264 + 60*b229*b267 + 
     12*b229*b268 + 32*b229*b270 + 8*b229*b272 + 19*b229*b275 + 37*b229*b276 + 
     52*b229*b280 + 34*b229*b282 + 35*b229*b283 + 5*b229*b288 + 35*b229*b289 + 
     9*b229*b292 + 30*b229*b295 + 18*b229*b296 + 19*b229*b300 + 100*b229*b301
      + 161*b229*b302 + 76*b229*b307 + 13*b229*b309 + 75*b229*b511 + 18*b229*
     b512 + 10*b229*b514 + 64*b229*b516 + 9*b229*b520 + 94*b229*b521 + 21*b229*
     b523 + 41*b229*b524 + 24*b229*b525 + 9*b229*b528 + 23*b229*b529 + 30*b229*
     b530 + 21*b229*b531 + 66*b229*b533 + 33*b229*b536 + 13*b229*b537 + 3*b229*
     b539 + 27*b229*b541 + 65*b229*b543 + b229*b547 + 4*b229*b551 + 38*b229*
     b553 + 33*b229*b554 + 35*b229*b555 + b229*b556 + 31*b229*b557 + 36*b229*
     b558 + 28*b229*b560 + 8*b229*b561 + 81*b229*b562 + 9*b229*b564 + 77*b229*
     b569 + 2*b229*b572 + 31*b229*b573 + 33*b229*b574 + 25*b229*b575 + 10*b229*
     b576 + 14*b229*b577 + 23*b229*b579 + 5*b229*b580 + 29*b229*b582 + 60*b229*
     b583 + 51*b229*b585 + 32*b229*b591 + 28*b229*b592 + 18*b229*b595 + 28*b229
     *b599 + 18*b229*b602 + 10*b229*b603 + 27*b229*b605 + 109*b229*b609 + 33*
     b229*b610 + 6*b229*b612 + 30*b229*b615 + 37*b229*b616 + 18*b229*b617 + 4*
     b229*b618 + 41*b230*b237 + 21*b230*b246 + 26*b230*b261 + 4*b230*b265 + 43*
     b230*b267 + 127*b230*b270 + b230*b271 + 8*b230*b272 + 25*b230*b274 + 30*
     b230*b275 + 30*b230*b277 + 4*b230*b278 + 27*b230*b280 + 16*b230*b281 + 21*
     b230*b283 + 34*b230*b284 + 6*b230*b287 + 17*b230*b288 + 9*b230*b290 + 6*
     b230*b292 + 73*b230*b295 + 139*b230*b296 + 13*b230*b297 + 31*b230*b298 + 
     95*b230*b303 + 266*b230*b308 + 61*b230*b512 + 22*b230*b513 + 96*b230*b514
      + 49*b230*b516 + 137*b230*b517 + 9*b230*b520 + 17*b230*b526 + 12*b230*
     b529 + b230*b530 + 9*b230*b537 + 23*b230*b539 + 37*b230*b542 + 82*b230*
     b545 + 15*b230*b549 + b230*b550 + 66*b230*b552 + 36*b230*b556 + 9*b230*
     b557 + 10*b230*b559 + 31*b230*b560 + 44*b230*b561 + 59*b230*b563 + 43*b230
     *b564 + 210*b230*b565 + 85*b230*b566 + 62*b230*b567 + 119*b230*b568 + 44*
     b230*b570 + 5*b230*b571 + 10*b230*b573 + 11*b230*b574 + 8*b230*b575 + 6*
     b230*b576 + 51*b230*b577 + 3*b230*b579 + 31*b230*b582 + 212*b230*b584 + 
     159*b230*b585 + 72*b230*b586 + 9*b230*b587 + 14*b230*b589 + 21*b230*b591
      + 24*b230*b596 + 12*b230*b597 + 59*b230*b600 + 101*b230*b603 + 36*b230*
     b604 + 30*b230*b606 + 15*b230*b607 + 58*b230*b608 + 19*b230*b610 + 20*b230
     *b611 + 144*b230*b612 + 183*b230*b614 + 7*b230*b616 + 12*b230*b617 + 9*
     b231*b237 + 4*b231*b268 + 13*b231*b274 + 3*b231*b276 + 19*b231*b277 + 5*
     b231*b280 + 6*b231*b281 + 24*b231*b284 + 3*b231*b291 + 11*b231*b301 + 13*
     b231*b303 + 7*b231*b304 + 4*b231*b307 + 8*b231*b309 + 9*b231*b511 + 13*
     b231*b521 + 3*b231*b522 + 19*b231*b523 + 6*b231*b525 + 24*b231*b528 + 14*
     b231*b539 + 2*b231*b547 + 3*b231*b548 + 9*b231*b551 + 39*b231*b557 + 7*
     b231*b567 + 4*b231*b568 + 8*b231*b570 + 9*b231*b571 + 3*b231*b580 + 11*
     b231*b584 + b231*b586 + 30*b231*b593 + 12*b231*b597 + 14*b231*b598 + 4*
     b231*b600 + 5*b231*b601 + 13*b231*b609 + 2*b232*b237 + b232*b246 + 3*b232*
     b257 + 31*b232*b269 + 19*b232*b274 + 48*b232*b275 + 21*b232*b283 + 77*b232
     *b286 + 13*b232*b287 + 10*b232*b291 + 22*b232*b296 + 3*b232*b298 + 18*b232
     *b301 + 7*b232*b302 + 5*b232*b303 + b232*b305 + 6*b232*b306 + 6*b232*b309
      + 23*b232*b512 + 34*b232*b513 + 15*b232*b514 + 15*b232*b515 + 29*b232*
     b516 + 23*b232*b517 + 15*b232*b518 + 25*b232*b519 + 16*b232*b522 + 22*b232
     *b523 + 38*b232*b524 + 6*b232*b525 + 88*b232*b526 + 2*b232*b528 + 8*b232*
     b529 + 4*b232*b532 + 41*b232*b533 + 46*b232*b536 + 53*b232*b537 + 5*b232*
     b539 + 60*b232*b542 + 34*b232*b544 + 12*b232*b547 + 109*b232*b555 + 16*
     b232*b557 + 3*b232*b558 + 7*b232*b560 + 15*b232*b563 + 27*b232*b564 + 9*
     b232*b567 + b232*b568 + 11*b232*b569 + 5*b232*b571 + 14*b232*b573 + 19*
     b232*b575 + 12*b232*b576 + 34*b232*b579 + 14*b232*b581 + 10*b232*b582 + 7*
     b232*b588 + 6*b232*b591 + 7*b232*b592 + 37*b232*b599 + 116*b232*b600 + 16*
     b232*b601 + 7*b232*b602 + 52*b232*b611 + 16*b232*b612 + 6*b232*b613 + 27*
     b232*b614 + 10*b232*b615 + 61*b232*b616 + 7*b232*b617 + 21*b232*b618 + 29*
     b233*b255 + b233*b257 + 12*b233*b259 + 9*b233*b262 + 52*b233*b264 + 10*
     b233*b265 + b233*b269 + 21*b233*b270 + 8*b233*b277 + 47*b233*b280 + b233*
     b281 + 25*b233*b282 + 7*b233*b283 + 43*b233*b284 + 6*b233*b288 + 77*b233*
     b289 + 33*b233*b290 + 23*b233*b293 + 5*b233*b296 + 32*b233*b298 + 57*b233*
     b302 + 23*b233*b306 + 26*b233*b308 + 48*b233*b511 + 2*b233*b512 + 60*b233*
     b513 + 14*b233*b514 + 97*b233*b515 + 73*b233*b516 + 14*b233*b519 + b233*
     b520 + 32*b233*b521 + 15*b233*b522 + 21*b233*b524 + 55*b233*b530 + 2*b233*
     b531 + 16*b233*b534 + 75*b233*b536 + 111*b233*b537 + 17*b233*b543 + 8*b233
     *b546 + 27*b233*b548 + 29*b233*b549 + 74*b233*b554 + b233*b555 + 37*b233*
     b556 + 38*b233*b557 + 22*b233*b558 + 22*b233*b559 + 28*b233*b561 + 15*b233
     *b564 + 195*b233*b565 + 112*b233*b567 + b233*b568 + 27*b233*b570 + 8*b233*
     b572 + 8*b233*b573 + 16*b233*b576 + 33*b233*b579 + 17*b233*b580 + 50*b233*
     b581 + 56*b233*b582 + 61*b233*b584 + 190*b233*b585 + 23*b233*b586 + 27*
     b233*b590 + 13*b233*b592 + 36*b233*b598 + 3*b233*b600 + 46*b233*b605 + 12*
     b233*b606 + 11*b233*b607 + 26*b233*b608 + 22*b233*b611 + 22*b233*b613 + 10
     *b233*b615 + 8*b233*b616 + 29*b234*b252 + 148*b234*b253 + 22*b234*b254 + 
     30*b234*b260 + 34*b234*b262 + 16*b234*b272 + 27*b234*b274 + 18*b234*b275
      + 30*b234*b279 + 20*b234*b280 + 79*b234*b283 + 22*b234*b287 + 34*b234*
     b288 + 77*b234*b289 + 24*b234*b292 + 5*b234*b293 + 39*b234*b294 + 17*b234*
     b297 + 31*b234*b298 + 100*b234*b301 + 85*b234*b302 + 187*b234*b304 + 46*
     b234*b305 + 53*b234*b308 + 85*b234*b309 + 148*b234*b512 + 22*b234*b513 + 
     16*b234*b519 + 27*b234*b521 + 79*b234*b527 + 22*b234*b531 + 34*b234*b532
      + 5*b234*b533 + 17*b234*b536 + 19*b234*b539 + 29*b234*b540 + 2*b234*b542
      + 7*b234*b546 + 111*b234*b549 + 33*b234*b550 + 10*b234*b557 + 29*b234*
     b560 + 32*b234*b562 + 81*b234*b564 + 85*b234*b566 + 187*b234*b567 + 53*
     b234*b569 + 85*b234*b570 + 79*b234*b571 + 18*b234*b578 + 30*b234*b579 + 24
     *b234*b581 + 39*b234*b582 + 31*b234*b583 + 100*b234*b584 + 46*b234*b585 + 
     62*b234*b590 + 17*b234*b591 + 56*b234*b593 + 62*b234*b597 + 20*b234*b601
      + b234*b604 + 9*b234*b607 + 30*b234*b611 + 34*b234*b612 + 77*b234*b614 + 
     29*b234*b616 + 5*b235*b237 + 17*b235*b246 + 14*b235*b252 + 2*b235*b253 + 4
     *b235*b254 + 29*b235*b255 + 15*b235*b257 + 59*b235*b261 + b235*b263 + 10*
     b235*b266 + 14*b235*b267 + 33*b235*b271 + 83*b235*b272 + 29*b235*b275 + 73
     *b235*b276 + 61*b235*b280 + 7*b235*b287 + 7*b235*b289 + 31*b235*b291 + 14*
     b235*b293 + b235*b296 + 31*b235*b298 + 33*b235*b299 + 211*b235*b301 + 13*
     b235*b302 + 98*b235*b303 + 71*b235*b304 + 28*b235*b306 + 73*b235*b309 + 19
     *b235*b517 + 2*b235*b518 + 12*b235*b520 + 12*b235*b521 + 79*b235*b523 + 5*
     b235*b524 + 48*b235*b525 + 16*b235*b526 + 30*b235*b527 + 37*b235*b528 + 55
     *b235*b529 + 12*b235*b530 + b235*b532 + 8*b235*b534 + 87*b235*b536 + 20*
     b235*b539 + 21*b235*b540 + 14*b235*b543 + 6*b235*b545 + 24*b235*b546 + 10*
     b235*b549 + 129*b235*b551 + 29*b235*b556 + 6*b235*b557 + 8*b235*b558 + 37*
     b235*b559 + 7*b235*b562 + 7*b235*b565 + 18*b235*b568 + 5*b235*b569 + 17*
     b235*b573 + 24*b235*b575 + 41*b235*b579 + 11*b235*b581 + 40*b235*b582 + 88
     *b235*b585 + 10*b235*b587 + 2*b235*b590 + 23*b235*b592 + 31*b235*b595 + 83
     *b235*b596 + 22*b235*b599 + 25*b235*b600 + 37*b235*b602 + 22*b235*b607 + 5
     *b235*b611 + 26*b235*b612 + 30*b236*b249 + 13*b236*b252 + 59*b236*b253 + 
     11*b236*b255 + 11*b236*b256 + 16*b236*b260 + 12*b236*b262 + 64*b236*b264
      + 46*b236*b268 + 19*b236*b269 + 120*b236*b271 + 10*b236*b272 + 41*b236*
     b273 + 24*b236*b275 + 80*b236*b279 + 11*b236*b280 + 7*b236*b282 + 11*b236*
     b288 + 87*b236*b289 + 14*b236*b291 + 2*b236*b295 + 75*b236*b300 + 125*b236
     *b301 + 147*b236*b302 + 145*b236*b304 + 105*b236*b306 + 56*b236*b309 + 59*
     b236*b512 + 11*b236*b514 + 64*b236*b517 + 10*b236*b519 + 41*b236*b520 + 7*
     b236*b526 + 11*b236*b532 + 2*b236*b534 + 5*b236*b539 + 29*b236*b541 + 37*
     b236*b543 + 20*b236*b549 + 81*b236*b550 + 15*b236*b551 + 82*b236*b552 + 45
     *b236*b554 + 14*b236*b555 + 49*b236*b556 + 6*b236*b559 + 7*b236*b560 + 28*
     b236*b562 + 5*b236*b563 + 52*b236*b564 + 75*b236*b565 + 147*b236*b566 + 
     145*b236*b567 + 56*b236*b570 + 23*b236*b571 + 30*b236*b573 + 19*b236*b577
      + 24*b236*b578 + 80*b236*b579 + 14*b236*b580 + 125*b236*b584 + 31*b236*
     b588 + 67*b236*b589 + 16*b236*b591 + 6*b236*b593 + 33*b236*b595 + 43*b236*
     b596 + 12*b236*b597 + 30*b236*b598 + 46*b236*b600 + 11*b236*b601 + 106*
     b236*b603 + 5*b236*b605 + 10*b236*b606 + 35*b236*b608 + 105*b236*b610 + 16
     *b236*b611 + 12*b236*b612 + 87*b236*b614 + 22*b236*b615 + 13*b236*b616 + 
     11*b236*b617 + 120*b236*b618 + 51*b237*b238 + 11*b237*b239 + 6*b237*b240
      + 33*b237*b241 + 8*b237*b242 + 37*b237*b313 + 32*b237*b314 + 15*b237*b316
      + 23*b237*b317 + 2*b237*b318 + 21*b237*b321 + 51*b237*b322 + 18*b237*b325
      + 34*b237*b326 + 16*b237*b327 + 47*b237*b329 + 53*b237*b331 + 15*b237*
     b332 + 27*b237*b333 + 120*b237*b334 + b237*b337 + 6*b237*b338 + 74*b237*
     b339 + 28*b237*b343 + 33*b237*b344 + 47*b237*b345 + 29*b237*b347 + 9*b237*
     b350 + 49*b237*b355 + 46*b237*b357 + 11*b237*b359 + 45*b237*b360 + 39*b237
     *b363 + b237*b365 + 115*b237*b368 + 19*b237*b369 + 55*b237*b370 + 33*b237*
     b372 + 8*b237*b373 + 7*b237*b376 + 6*b237*b377 + 7*b237*b378 + 70*b237*
     b384 + 19*b237*b385 + 22*b237*b387 + 47*b237*b389 + 31*b237*b391 + 11*b237
     *b394 + 23*b237*b395 + b237*b396 + 65*b237*b398 + 21*b237*b400 + 42*b237*
     b402 + b237*b403 + 10*b237*b405 + 6*b237*b406 + 94*b237*b412 + 101*b237*
     b414 + 50*b237*b417 + 8*b237*b420 + 57*b237*b421 + 24*b237*b423 + 9*b237*
     b424 + 41*b237*b425 + 6*b237*b426 + 53*b237*b427 + 11*b237*b428 + 139*b237
     *b429 + 48*b237*b430 + b237*b431 + 10*b237*b432 + 53*b237*b454 + 6*b237*
     b458 + 12*b237*b459 + 3*b237*b462 + 30*b237*b463 + 34*b237*b464 + 48*b237*
     b465 + 14*b237*b466 + 45*b237*b467 + 22*b237*b468 + 38*b237*b469 + 74*b237
     *b477 + 5*b237*b481 + 6*b237*b484 + 20*b237*b485 + 10*b237*b494 + 2*b237*
     b495 + 31*b238*b246 + 22*b238*b249 + 8*b238*b254 + 12*b238*b259 + 3*b238*
     b267 + 132*b238*b273 + 13*b238*b274 + 9*b238*b275 + 2*b238*b279 + b238*
     b286 + 13*b238*b294 + 11*b238*b295 + 5*b238*b297 + 26*b238*b303 + 90*b238*
     b305 + 26*b238*b306 + 164*b238*b307 + 51*b238*b511 + 8*b238*b513 + 132*
     b238*b520 + 13*b238*b521 + b238*b530 + 11*b238*b534 + 5*b238*b536 + 24*
     b238*b539 + 25*b238*b541 + 6*b238*b545 + 51*b238*b550 + b238*b556 + 4*b238
     *b562 + 2*b238*b563 + 164*b238*b568 + 31*b238*b572 + 22*b238*b573 + 12*
     b238*b575 + 9*b238*b578 + 2*b238*b579 + 13*b238*b582 + 90*b238*b585 + 11*
     b238*b588 + 56*b238*b589 + 16*b238*b590 + 16*b238*b592 + 22*b238*b593 + 14
     *b238*b605 + b238*b608 + 26*b238*b609 + 26*b238*b610 + 3*b238*b613 + 16*
     b238*b615 + 14*b239*b246 + 41*b239*b255 + 16*b239*b267 + 7*b239*b268 + 7*
     b239*b269 + 11*b239*b276 + 21*b239*b277 + 3*b239*b291 + 5*b239*b293 + 5*
     b239*b301 + 2*b239*b302 + 5*b239*b303 + 7*b239*b304 + 5*b239*b305 + 4*b239
     *b307 + 11*b239*b511 + 11*b239*b522 + 21*b239*b523 + 5*b239*b533 + 39*b239
     *b539 + 3*b239*b547 + 34*b239*b553 + 8*b239*b564 + 2*b239*b566 + 7*b239*
     b567 + 4*b239*b568 + 14*b239*b572 + 7*b239*b577 + 3*b239*b580 + 5*b239*
     b584 + 5*b239*b585 + 8*b239*b589 + 39*b239*b592 + 52*b239*b596 + 7*b239*
     b600 + 4*b239*b606 + 5*b239*b609 + 16*b239*b613 + 14*b239*b615 + 41*b239*
     b617 + 15*b240*b252 + b240*b253 + 15*b240*b259 + 3*b240*b262 + 34*b240*
     b268 + 33*b240*b269 + b240*b270 + 4*b240*b271 + 5*b240*b275 + 4*b240*b276
      + 4*b240*b284 + 21*b240*b290 + 15*b240*b291 + 7*b240*b296 + 9*b240*b297
      + 16*b240*b298 + 15*b240*b299 + 46*b240*b301 + 7*b240*b303 + 25*b240*b305
      + 104*b240*b306 + 48*b240*b308 + 6*b240*b511 + b240*b512 + b240*b518 + 4*
     b240*b522 + 4*b240*b528 + 7*b240*b535 + 9*b240*b536 + 15*b240*b537 + 14*
     b240*b541 + 92*b240*b544 + 8*b240*b546 + 14*b240*b550 + 3*b240*b552 + 4*
     b240*b556 + 48*b240*b569 + 15*b240*b575 + 33*b240*b577 + 5*b240*b578 + 15*
     b240*b580 + 16*b240*b583 + 46*b240*b584 + 25*b240*b585 + b240*b586 + 6*
     b240*b591 + 20*b240*b592 + 25*b240*b593 + 14*b240*b595 + 14*b240*b596 + 13
     *b240*b598 + 34*b240*b600 + 21*b240*b602 + 36*b240*b605 + 44*b240*b606 + 
     91*b240*b607 + 7*b240*b609 + 104*b240*b610 + 3*b240*b612 + 15*b240*b616 + 
     4*b240*b618 + 41*b241*b249 + 9*b241*b252 + 26*b241*b253 + 58*b241*b254 + 
     43*b241*b255 + 14*b241*b259 + 15*b241*b261 + 20*b241*b265 + 42*b241*b268
      + 13*b241*b269 + 6*b241*b270 + 7*b241*b272 + 14*b241*b275 + 2*b241*b276
      + 20*b241*b277 + 2*b241*b279 + 20*b241*b280 + b241*b284 + 36*b241*b290 + 
     35*b241*b291 + 68*b241*b292 + 46*b241*b294 + 22*b241*b295 + 14*b241*b296
      + 20*b241*b298 + 46*b241*b300 + 142*b241*b301 + 191*b241*b304 + 144*b241*
     b306 + 80*b241*b308 + 33*b241*b511 + 26*b241*b512 + 58*b241*b513 + 15*b241
     *b515 + 6*b241*b518 + 7*b241*b519 + 2*b241*b522 + 20*b241*b523 + b241*b528
      + 22*b241*b534 + 14*b241*b535 + 24*b241*b539 + 8*b241*b540 + 5*b241*b541
      + 93*b241*b544 + 21*b241*b546 + 21*b241*b547 + 58*b241*b548 + 10*b241*
     b555 + 19*b241*b556 + 8*b241*b559 + 46*b241*b565 + 191*b241*b567 + 80*b241
     *b569 + 41*b241*b573 + 14*b241*b575 + 13*b241*b577 + 14*b241*b578 + 2*b241
     *b579 + 35*b241*b580 + 68*b241*b581 + 46*b241*b582 + 20*b241*b583 + 142*
     b241*b584 + 5*b241*b592 + 28*b241*b593 + 38*b241*b596 + 54*b241*b598 + 20*
     b241*b599 + 42*b241*b600 + 20*b241*b601 + 36*b241*b602 + 23*b241*b603 + 49
     *b241*b605 + 9*b241*b607 + 144*b241*b610 + 9*b241*b616 + 43*b241*b617 + 21
     *b242*b256 + 21*b242*b268 + 19*b242*b269 + 34*b242*b272 + b242*b273 + 8*
     b242*b276 + 51*b242*b277 + 7*b242*b280 + 25*b242*b282 + 9*b242*b283 + 16*
     b242*b290 + 15*b242*b291 + 5*b242*b298 + 51*b242*b299 + 113*b242*b301 + 30
     *b242*b305 + 3*b242*b308 + 8*b242*b511 + 21*b242*b514 + 34*b242*b519 + 
     b242*b520 + 8*b242*b522 + 51*b242*b523 + 25*b242*b526 + 9*b242*b527 + 51*
     b242*b537 + 46*b242*b544 + b242*b553 + 14*b242*b554 + 3*b242*b569 + 19*
     b242*b577 + 15*b242*b580 + 5*b242*b583 + 113*b242*b584 + 30*b242*b585 + 11
     *b242*b588 + 25*b242*b592 + 4*b242*b593 + 88*b242*b596 + 13*b242*b597 + 45
     *b242*b598 + 21*b242*b600 + 7*b242*b601 + 16*b242*b602 + 22*b242*b608 + 16
     *b243*b246 + 8*b243*b249 + 18*b243*b255 + 35*b243*b259 + 8*b243*b263 + 53*
     b243*b264 + 73*b243*b265 + 7*b243*b268 + 38*b243*b269 + 24*b243*b270 + 20*
     b243*b275 + 50*b243*b276 + 25*b243*b278 + 15*b243*b279 + 16*b243*b282 + 48
     *b243*b285 + 53*b243*b289 + 38*b243*b290 + 33*b243*b291 + 11*b243*b295 + 
     47*b243*b296 + 279*b243*b302 + 239*b243*b304 + 213*b243*b306 + 80*b243*
     b308 + 8*b243*b516 + 53*b243*b517 + 24*b243*b518 + 50*b243*b522 + 25*b243*
     b524 + 16*b243*b526 + 48*b243*b529 + 11*b243*b534 + 47*b243*b535 + 129*
     b243*b541 + 8*b243*b542 + 26*b243*b543 + 34*b243*b546 + 70*b243*b548 + 101
     *b243*b550 + 79*b243*b551 + 28*b243*b553 + 58*b243*b554 + 29*b243*b555 + 
     15*b243*b558 + 17*b243*b563 + 25*b243*b564 + 279*b243*b566 + 239*b243*b567
      + 80*b243*b569 + 16*b243*b572 + 8*b243*b573 + 35*b243*b575 + 38*b243*b577
      + 20*b243*b578 + 15*b243*b579 + 33*b243*b580 + 58*b243*b586 + 6*b243*b589
      + 11*b243*b593 + 18*b243*b597 + 13*b243*b598 + 73*b243*b599 + 7*b243*b600
      + 38*b243*b602 + 46*b243*b603 + 2*b243*b605 + 213*b243*b610 + 53*b243*
     b614 + 40*b243*b615 + 18*b243*b617 + 3*b244*b249 + 61*b244*b252 + 10*b244*
     b256 + 4*b244*b257 + 12*b244*b263 + 7*b244*b267 + 56*b244*b269 + 19*b244*
     b270 + 74*b244*b272 + 13*b244*b273 + 39*b244*b277 + 8*b244*b279 + 31*b244*
     b281 + 11*b244*b283 + 16*b244*b288 + 2*b244*b291 + 41*b244*b295 + 11*b244*
     b296 + 233*b244*b302 + 84*b244*b303 + 2*b244*b307 + 114*b244*b308 + 68*
     b244*b309 + 10*b244*b514 + 12*b244*b516 + 19*b244*b518 + 74*b244*b519 + 13
     *b244*b520 + 39*b244*b523 + 31*b244*b525 + 11*b244*b527 + 16*b244*b532 + 
     41*b244*b534 + 11*b244*b535 + 28*b244*b540 + 20*b244*b541 + 57*b244*b542
      + 15*b244*b543 + 17*b244*b545 + 4*b244*b550 + 9*b244*b551 + 40*b244*b553
      + 70*b244*b557 + 31*b244*b559 + 9*b244*b561 + 7*b244*b563 + 233*b244*b566
      + 2*b244*b568 + 114*b244*b569 + 68*b244*b570 + 3*b244*b573 + 4*b244*b574
      + 56*b244*b577 + 8*b244*b579 + 2*b244*b580 + 11*b244*b586 + 6*b244*b588
      + 31*b244*b590 + 22*b244*b591 + 5*b244*b592 + 24*b244*b594 + 4*b244*b595
      + 16*b244*b597 + 37*b244*b598 + 50*b244*b603 + 17*b244*b604 + 15*b244*
     b605 + 39*b244*b608 + 84*b244*b609 + 7*b244*b613 + 140*b244*b615 + 61*b244
     *b616 + 7*b245*b249 + 47*b245*b254 + b245*b264 + 4*b245*b268 + 31*b245*
     b270 + 2*b245*b272 + 24*b245*b282 + 5*b245*b289 + 14*b245*b295 + 31*b245*
     b296 + 12*b245*b306 + 6*b245*b308 + 11*b245*b309 + 47*b245*b513 + b245*
     b517 + 31*b245*b518 + 2*b245*b519 + 24*b245*b526 + 14*b245*b534 + 31*b245*
     b535 + 12*b245*b539 + 18*b245*b544 + 17*b245*b555 + 36*b245*b556 + 14*b245
     *b558 + 20*b245*b563 + 6*b245*b569 + 11*b245*b570 + 7*b245*b573 + 21*b245*
     b586 + 103*b245*b597 + 4*b245*b600 + 12*b245*b605 + 12*b245*b610 + 5*b245*
     b614 + 5*b245*b615 + 15*b246*b247 + b246*b311 + 69*b246*b312 + 15*b246*
     b314 + 16*b246*b315 + b246*b317 + 12*b246*b320 + 50*b246*b321 + 31*b246*
     b322 + 34*b246*b324 + 6*b246*b326 + 78*b246*b327 + 45*b246*b329 + 39*b246*
     b332 + 10*b246*b333 + 13*b246*b334 + 6*b246*b335 + 16*b246*b336 + 41*b246*
     b339 + 43*b246*b341 + 16*b246*b342 + 15*b246*b343 + 3*b246*b348 + 23*b246*
     b353 + 16*b246*b356 + 23*b246*b358 + 14*b246*b359 + 83*b246*b362 + 3*b246*
     b364 + 11*b246*b365 + 15*b246*b366 + 6*b246*b367 + 10*b246*b368 + 10*b246*
     b369 + 3*b246*b375 + 128*b246*b379 + 8*b246*b383 + 54*b246*b387 + 6*b246*
     b389 + 17*b246*b390 + 10*b246*b396 + 12*b246*b401 + 73*b246*b402 + 3*b246*
     b403 + 15*b246*b405 + 62*b246*b409 + 6*b246*b410 + 32*b246*b411 + 30*b246*
     b417 + 18*b246*b421 + 21*b246*b425 + 30*b246*b426 + 120*b246*b429 + 6*b246
     *b430 + 6*b246*b432 + 8*b246*b438 + 13*b246*b439 + 2*b246*b442 + 34*b246*
     b444 + 20*b246*b445 + 42*b246*b446 + 18*b246*b449 + 18*b246*b452 + 21*b246
     *b453 + 52*b246*b456 + 14*b246*b459 + 45*b246*b462 + b246*b463 + 25*b246*
     b465 + 18*b246*b466 + 10*b246*b467 + 22*b246*b469 + 2*b246*b470 + 17*b246*
     b471 + 8*b246*b478 + 9*b246*b479 + 28*b246*b480 + 17*b246*b481 + 45*b246*
     b484 + 12*b246*b485 + 14*b246*b486 + 2*b246*b487 + 126*b246*b488 + 56*b246
     *b494 + b246*b495 + 23*b246*b496 + 40*b246*b497 + 122*b246*b498 + 2*b246*
     b504 + 38*b246*b508 + 16*b246*b509 + 19*b247*b252 + 37*b247*b253 + 27*b247
     *b254 + 10*b247*b256 + 30*b247*b259 + 18*b247*b261 + 34*b247*b262 + 135*
     b247*b263 + 3*b247*b265 + 16*b247*b266 + 4*b247*b269 + 72*b247*b270 + 13*
     b247*b272 + 9*b247*b274 + 43*b247*b276 + 5*b247*b278 + 3*b247*b279 + 6*
     b247*b283 + 6*b247*b284 + 24*b247*b286 + 2*b247*b287 + 6*b247*b288 + 2*
     b247*b289 + 8*b247*b291 + 8*b247*b293 + 4*b247*b295 + 59*b247*b296 + 7*
     b247*b298 + 183*b247*b301 + 107*b247*b302 + 83*b247*b304 + 242*b247*b305
      + 37*b247*b512 + 27*b247*b513 + 10*b247*b514 + 18*b247*b515 + 135*b247*
     b516 + 72*b247*b518 + 13*b247*b519 + 9*b247*b521 + 43*b247*b522 + 5*b247*
     b524 + 6*b247*b527 + 6*b247*b528 + 24*b247*b530 + 2*b247*b531 + 6*b247*
     b532 + 8*b247*b533 + 4*b247*b534 + 59*b247*b535 + 14*b247*b540 + 8*b247*
     b545 + 40*b247*b546 + 15*b247*b549 + 16*b247*b550 + 19*b247*b557 + 107*
     b247*b566 + 83*b247*b567 + 15*b247*b572 + 30*b247*b575 + 16*b247*b576 + 4*
     b247*b577 + 3*b247*b579 + 8*b247*b580 + 7*b247*b583 + 183*b247*b584 + 242*
     b247*b585 + 11*b247*b587 + 12*b247*b588 + 12*b247*b592 + 76*b247*b597 + 3*
     b247*b599 + 31*b247*b606 + 34*b247*b612 + 2*b247*b614 + 19*b247*b616 + 25*
     b248*b253 + 26*b248*b256 + 13*b248*b257 + 34*b248*b259 + 53*b248*b261 + 79
     *b248*b263 + 5*b248*b265 + 4*b248*b266 + 5*b248*b267 + b248*b272 + 4*b248*
     b274 + 7*b248*b276 + 30*b248*b278 + 17*b248*b279 + 4*b248*b280 + 20*b248*
     b285 + 32*b248*b286 + 31*b248*b293 + 21*b248*b294 + 8*b248*b295 + 13*b248*
     b297 + 11*b248*b298 + 6*b248*b299 + 199*b248*b301 + 80*b248*b303 + 9*b248*
     b305 + 31*b248*b306 + 147*b248*b309 + 25*b248*b512 + 26*b248*b514 + 53*
     b248*b515 + 79*b248*b516 + b248*b519 + 4*b248*b521 + 7*b248*b522 + 30*b248
     *b524 + 20*b248*b529 + 32*b248*b530 + 31*b248*b533 + 8*b248*b534 + 13*b248
     *b536 + 6*b248*b537 + 11*b248*b542 + 142*b248*b545 + 3*b248*b546 + 51*b248
     *b547 + 29*b248*b551 + 80*b248*b554 + 55*b248*b556 + 47*b248*b559 + 42*
     b248*b560 + 17*b248*b562 + 16*b248*b564 + 147*b248*b570 + 13*b248*b574 + 
     34*b248*b575 + 4*b248*b576 + 17*b248*b579 + 21*b248*b582 + 11*b248*b583 + 
     199*b248*b584 + 9*b248*b585 + b248*b587 + 6*b248*b588 + 9*b248*b598 + 5*
     b248*b599 + 4*b248*b601 + 36*b248*b603 + 6*b248*b605 + 8*b248*b607 + 6*
     b248*b608 + 80*b248*b609 + 31*b248*b610 + 5*b248*b613 + 21*b249*b250 + 
     b249*b251 + 13*b249*b311 + 33*b249*b312 + 2*b249*b315 + 8*b249*b316 + 13*
     b249*b318 + 16*b249*b319 + 23*b249*b320 + 72*b249*b321 + 22*b249*b322 + 17
     *b249*b324 + 28*b249*b325 + 8*b249*b328 + 16*b249*b329 + 33*b249*b331 + 10
     *b249*b332 + 62*b249*b335 + 25*b249*b336 + 8*b249*b337 + 11*b249*b338 + 51
     *b249*b339 + 8*b249*b342 + 35*b249*b343 + 25*b249*b344 + 21*b249*b346 + 19
     *b249*b347 + 7*b249*b349 + 3*b249*b351 + 7*b249*b352 + 43*b249*b353 + 7*
     b249*b356 + 3*b249*b361 + 27*b249*b365 + 57*b249*b369 + 20*b249*b371 + 41*
     b249*b372 + b249*b374 + 7*b249*b375 + 41*b249*b376 + 54*b249*b378 + 4*b249
     *b380 + 30*b249*b386 + 7*b249*b387 + 18*b249*b389 + 3*b249*b390 + 59*b249*
     b395 + 24*b249*b400 + 14*b249*b401 + 66*b249*b402 + 32*b249*b407 + 5*b249*
     b410 + 37*b249*b411 + 23*b249*b413 + 11*b249*b414 + 38*b249*b417 + 4*b249*
     b419 + 16*b249*b420 + 33*b249*b422 + 35*b249*b423 + 39*b249*b424 + 109*
     b249*b426 + 23*b249*b427 + 41*b249*b428 + 15*b249*b429 + 25*b249*b430 + 23
     *b249*b431 + b249*b439 + 36*b249*b440 + 17*b249*b441 + 13*b249*b445 + 6*
     b249*b446 + 11*b249*b448 + 18*b249*b449 + 12*b249*b450 + 30*b249*b456 + 22
     *b249*b457 + 17*b249*b459 + 20*b249*b464 + 26*b249*b467 + 4*b249*b472 + 43
     *b249*b474 + 52*b249*b475 + 35*b249*b476 + b249*b478 + 7*b249*b479 + 24*
     b249*b484 + 34*b249*b487 + 18*b249*b489 + 21*b249*b493 + 92*b249*b494 + 58
     *b249*b498 + 49*b249*b499 + 150*b249*b500 + 19*b249*b501 + 13*b249*b505 + 
     20*b249*b506 + 36*b249*b507 + 56*b249*b508 + 9*b249*b509 + 27*b249*b510 + 
     4*b250*b253 + 18*b250*b255 + 10*b250*b257 + 37*b250*b259 + 15*b250*b261 + 
     33*b250*b262 + 4*b250*b263 + 18*b250*b268 + 8*b250*b269 + 17*b250*b271 + 8
     *b250*b273 + 32*b250*b275 + 11*b250*b277 + 11*b250*b280 + 3*b250*b284 + 19
     *b250*b286 + 38*b250*b289 + 12*b250*b292 + 15*b250*b293 + 2*b250*b296 + 31
     *b250*b297 + 8*b250*b299 + 8*b250*b301 + 169*b250*b305 + 83*b250*b307 + 67
     *b250*b308 + 20*b250*b309 + 4*b250*b512 + 15*b250*b515 + 4*b250*b516 + 8*
     b250*b520 + 11*b250*b523 + 3*b250*b528 + 19*b250*b530 + 15*b250*b533 + 2*
     b250*b535 + 31*b250*b536 + 8*b250*b537 + 33*b250*b541 + 46*b250*b542 + 11*
     b250*b543 + b250*b544 + 9*b250*b545 + 4*b250*b547 + 129*b250*b550 + 4*b250
     *b555 + 8*b250*b556 + 83*b250*b568 + 67*b250*b569 + 20*b250*b570 + 21*b250
     *b573 + 10*b250*b574 + 37*b250*b575 + 8*b250*b577 + 32*b250*b578 + 12*b250
     *b581 + 8*b250*b584 + 169*b250*b585 + 37*b250*b589 + 12*b250*b592 + 21*
     b250*b593 + 26*b250*b594 + 26*b250*b595 + 9*b250*b598 + 18*b250*b600 + 11*
     b250*b601 + 40*b250*b607 + 33*b250*b612 + 38*b250*b614 + 18*b250*b617 + 17
     *b250*b618 + 13*b251*b253 + 10*b251*b256 + 57*b251*b259 + 8*b251*b261 + 7*
     b251*b268 + 4*b251*b278 + 4*b251*b279 + 39*b251*b288 + 17*b251*b294 + 29*
     b251*b295 + 143*b251*b301 + 90*b251*b305 + 118*b251*b309 + 13*b251*b512 + 
     10*b251*b514 + 8*b251*b515 + 4*b251*b524 + 39*b251*b532 + 29*b251*b534 + 
     12*b251*b541 + 10*b251*b543 + 20*b251*b544 + 37*b251*b545 + 16*b251*b546
      + 37*b251*b547 + 5*b251*b551 + 34*b251*b553 + 22*b251*b559 + 14*b251*b560
      + 5*b251*b562 + 43*b251*b564 + 118*b251*b570 + b251*b573 + 57*b251*b575
      + 4*b251*b579 + 17*b251*b582 + 143*b251*b584 + 90*b251*b585 + 13*b251*
     b588 + 9*b251*b589 + 25*b251*b590 + 13*b251*b593 + 3*b251*b598 + 7*b251*
     b600 + 6*b251*b604 + 10*b251*b607 + 16*b251*b608 + 4*b252*b311 + 77*b252*
     b312 + 105*b252*b316 + 17*b252*b319 + 48*b252*b321 + 183*b252*b325 + 37*
     b252*b328 + 22*b252*b329 + 30*b252*b332 + 169*b252*b335 + 78*b252*b336 + 
     97*b252*b345 + 61*b252*b351 + 12*b252*b353 + 5*b252*b354 + b252*b356 + 38*
     b252*b357 + 90*b252*b361 + 7*b252*b362 + 21*b252*b363 + 19*b252*b366 + 28*
     b252*b367 + 47*b252*b370 + 2*b252*b371 + 9*b252*b372 + 8*b252*b375 + 37*
     b252*b379 + 40*b252*b380 + 29*b252*b381 + 30*b252*b382 + b252*b385 + 13*
     b252*b386 + 9*b252*b390 + 4*b252*b391 + 21*b252*b395 + 21*b252*b403 + 99*
     b252*b404 + 74*b252*b406 + 36*b252*b408 + 44*b252*b409 + 24*b252*b410 + 10
     *b252*b412 + 20*b252*b414 + 32*b252*b417 + 30*b252*b420 + 39*b252*b422 + 5
     *b252*b423 + 17*b252*b426 + 65*b252*b433 + 169*b252*b436 + b252*b438 + 15*
     b252*b439 + 15*b252*b445 + 93*b252*b450 + 41*b252*b453 + 57*b252*b456 + 
     b252*b457 + 15*b252*b458 + 6*b252*b461 + 36*b252*b467 + 3*b252*b470 + 42*
     b252*b473 + 35*b252*b476 + 12*b252*b478 + 6*b252*b479 + 14*b252*b481 + 154
     *b252*b486 + 2*b252*b490 + 8*b252*b493 + 29*b252*b496 + 56*b252*b501 + 2*
     b252*b502 + 59*b252*b503 + 4*b252*b505 + 20*b252*b508 + 6*b253*b313 + 62*
     b253*b314 + 14*b253*b315 + 37*b253*b319 + 25*b253*b323 + 4*b253*b324 + 4*
     b253*b325 + 24*b253*b329 + 69*b253*b331 + 38*b253*b334 + 85*b253*b336 + 79
     *b253*b338 + 15*b253*b344 + 67*b253*b345 + 4*b253*b346 + 19*b253*b356 + 46
     *b253*b357 + 147*b253*b360 + 37*b253*b363 + 37*b253*b366 + 3*b253*b367 + 
     11*b253*b371 + 26*b253*b372 + 13*b253*b374 + 82*b253*b375 + 12*b253*b378
      + 9*b253*b379 + 27*b253*b380 + 148*b253*b381 + 45*b253*b382 + 132*b253*
     b384 + 59*b253*b386 + 27*b253*b390 + 27*b253*b391 + b253*b393 + 27*b253*
     b397 + 85*b253*b401 + 29*b253*b402 + 59*b253*b403 + 8*b253*b406 + 10*b253*
     b407 + 3*b253*b409 + 26*b253*b410 + 38*b253*b412 + 63*b253*b414 + 157*b253
     *b415 + 22*b253*b416 + 138*b253*b421 + 6*b253*b423 + 13*b253*b431 + 23*
     b253*b439 + 3*b253*b441 + 2*b253*b443 + 25*b253*b444 + 51*b253*b445 + 3*
     b253*b447 + 14*b253*b450 + 28*b253*b451 + 9*b253*b453 + 41*b253*b454 + 5*
     b253*b456 + b253*b458 + 8*b253*b461 + 3*b253*b467 + 27*b253*b469 + 4*b253*
     b470 + b253*b472 + 61*b253*b478 + 11*b253*b480 + 2*b253*b481 + 41*b253*
     b482 + 20*b253*b486 + 6*b253*b487 + 11*b253*b488 + 14*b253*b491 + 14*b253*
     b493 + 11*b253*b494 + 33*b253*b496 + 4*b253*b503 + 32*b253*b505 + 16*b253*
     b506 + 9*b253*b508 + 2*b254*b313 + 63*b254*b314 + 15*b254*b315 + 5*b254*
     b320 + 8*b254*b322 + 17*b254*b324 + 6*b254*b326 + 90*b254*b328 + 5*b254*
     b329 + 60*b254*b333 + 17*b254*b334 + 68*b254*b335 + 60*b254*b337 + 22*b254
     *b339 + 120*b254*b344 + 25*b254*b347 + 47*b254*b352 + 22*b254*b353 + 3*
     b254*b354 + 9*b254*b358 + 19*b254*b360 + 9*b254*b362 + 27*b254*b366 + 9*
     b254*b371 + 58*b254*b372 + 17*b254*b376 + 38*b254*b379 + b254*b380 + 22*
     b254*b381 + 5*b254*b383 + 7*b254*b387 + 42*b254*b388 + 38*b254*b391 + 2*
     b254*b392 + 30*b254*b394 + 2*b254*b397 + 3*b254*b410 + 18*b254*b412 + 3*
     b254*b414 + 32*b254*b415 + 26*b254*b416 + 4*b254*b421 + 57*b254*b422 + 6*
     b254*b423 + 3*b254*b427 + 22*b254*b429 + 133*b254*b435 + 45*b254*b439 + 
     102*b254*b440 + 25*b254*b444 + 4*b254*b452 + 22*b254*b454 + 4*b254*b455 + 
     4*b254*b462 + 7*b254*b465 + 40*b254*b466 + 92*b254*b467 + 36*b254*b469 + 3
     *b254*b471 + 140*b254*b475 + 31*b254*b476 + 4*b254*b477 + 25*b254*b478 + 9
     *b254*b479 + 27*b254*b480 + 4*b254*b481 + 38*b254*b486 + 55*b254*b488 + 
     114*b254*b491 + 16*b254*b492 + 46*b254*b494 + 35*b254*b496 + 12*b254*b497
      + 22*b254*b500 + 26*b254*b503 + 3*b254*b505 + 21*b254*b506 + 48*b254*b507
      + 24*b254*b508 + 75*b254*b510 + 70*b255*b311 + 30*b255*b312 + b255*b315
      + 110*b255*b316 + 19*b255*b325 + 11*b255*b326 + 11*b255*b328 + 3*b255*
     b329 + 34*b255*b332 + 15*b255*b333 + 11*b255*b334 + 18*b255*b342 + 24*b255
     *b345 + 18*b255*b346 + 34*b255*b347 + 19*b255*b357 + 2*b255*b358 + 41*b255
     *b359 + b255*b360 + 101*b255*b361 + 19*b255*b363 + 12*b255*b368 + 14*b255*
     b371 + 43*b255*b372 + 3*b255*b375 + 10*b255*b376 + 50*b255*b378 + 52*b255*
     b379 + 29*b255*b380 + 30*b255*b383 + 11*b255*b386 + 87*b255*b387 + 37*b255
     *b388 + 20*b255*b390 + 33*b255*b391 + 3*b255*b394 + 2*b255*b395 + 37*b255*
     b400 + 24*b255*b405 + 104*b255*b408 + 16*b255*b410 + 24*b255*b414 + 3*b255
     *b415 + 29*b255*b418 + 106*b255*b422 + 25*b255*b431 + 15*b255*b433 + 94*
     b255*b436 + 109*b255*b437 + 2*b255*b444 + 78*b255*b448 + 76*b255*b450 + 84
     *b255*b451 + 6*b255*b452 + 40*b255*b453 + 47*b255*b463 + 5*b255*b465 + 99*
     b255*b466 + 63*b255*b467 + 14*b255*b471 + 13*b255*b476 + 29*b255*b481 + 21
     *b255*b492 + 44*b255*b496 + 150*b255*b500 + 17*b255*b502 + 12*b255*b503 + 
     17*b255*b505 + 45*b255*b506 + 6*b255*b507 + 15*b256*b313 + 12*b256*b315 + 
     84*b256*b319 + 36*b256*b321 + 26*b256*b323 + 8*b256*b326 + 14*b256*b327 + 
     12*b256*b328 + 82*b256*b329 + 45*b256*b332 + 39*b256*b333 + 39*b256*b334
      + 15*b256*b337 + 75*b256*b338 + 74*b256*b339 + 11*b256*b343 + 24*b256*
     b344 + 18*b256*b347 + 26*b256*b349 + 10*b256*b351 + 9*b256*b353 + 7*b256*
     b357 + 3*b256*b358 + 53*b256*b360 + 10*b256*b366 + 47*b256*b369 + 21*b256*
     b373 + 10*b256*b374 + 38*b256*b377 + 30*b256*b378 + 11*b256*b386 + 19*b256
     *b388 + 33*b256*b390 + 9*b256*b391 + 8*b256*b392 + 29*b256*b394 + 41*b256*
     b395 + b256*b400 + 48*b256*b402 + 34*b256*b405 + 87*b256*b407 + 15*b256*
     b410 + 7*b256*b411 + 21*b256*b412 + 77*b256*b415 + 28*b256*b417 + 17*b256*
     b419 + 60*b256*b420 + b256*b422 + 24*b256*b423 + 17*b256*b426 + 67*b256*
     b427 + 27*b256*b428 + 5*b256*b430 + 100*b256*b431 + 48*b256*b434 + 3*b256*
     b435 + 47*b256*b436 + 22*b256*b437 + 20*b256*b439 + 2*b256*b440 + 43*b256*
     b442 + 9*b256*b443 + 12*b256*b444 + 28*b256*b445 + 98*b256*b446 + 32*b256*
     b448 + 61*b256*b449 + 10*b256*b451 + 39*b256*b452 + 3*b256*b460 + 9*b256*
     b465 + 27*b256*b466 + 3*b256*b474 + 50*b256*b478 + 23*b256*b489 + 84*b256*
     b490 + 51*b256*b492 + 8*b256*b496 + 8*b256*b497 + 31*b256*b498 + 15*b256*
     b499 + 96*b256*b504 + 51*b256*b505 + 64*b256*b506 + 55*b256*b507 + 21*b256
     *b508 + 24*b257*b312 + b257*b313 + 203*b257*b317 + 47*b257*b319 + 13*b257*
     b323 + 38*b257*b329 + 22*b257*b336 + 37*b257*b338 + 15*b257*b339 + 14*b257
     *b341 + 36*b257*b345 + 10*b257*b346 + 4*b257*b351 + 29*b257*b353 + 6*b257*
     b357 + 11*b257*b360 + 10*b257*b361 + 17*b257*b362 + 9*b257*b364 + 35*b257*
     b368 + 92*b257*b377 + 19*b257*b378 + 14*b257*b379 + 167*b257*b385 + 8*b257
     *b388 + 15*b257*b390 + 69*b257*b397 + 110*b257*b398 + 15*b257*b400 + 5*
     b257*b401 + 7*b257*b402 + 28*b257*b403 + 13*b257*b405 + 10*b257*b406 + 64*
     b257*b407 + 7*b257*b409 + 3*b257*b414 + 26*b257*b415 + b257*b418 + 50*b257
     *b422 + 48*b257*b423 + 18*b257*b426 + 36*b257*b427 + 11*b257*b429 + 6*b257
     *b430 + 66*b257*b431 + 75*b257*b434 + 5*b257*b442 + 6*b257*b443 + 48*b257*
     b444 + 24*b257*b445 + 11*b257*b446 + 23*b257*b447 + 27*b257*b449 + 8*b257*
     b451 + 3*b257*b452 + 7*b257*b453 + 14*b257*b454 + 7*b257*b456 + 46*b257*
     b461 + 22*b257*b465 + 12*b257*b469 + 28*b257*b471 + 19*b257*b472 + 44*b257
     *b478 + 153*b257*b480 + 15*b257*b481 + 7*b257*b486 + 4*b257*b491 + 36*b257
     *b492 + 3*b257*b495 + 10*b257*b497 + 4*b257*b498 + 19*b257*b499 + 5*b257*
     b500 + 2*b257*b501 + 25*b257*b502 + 5*b257*b507 + 47*b258*b262 + 3*b258*
     b269 + 35*b258*b289 + 9*b258*b291 + 8*b258*b293 + 9*b258*b300 + 2*b258*
     b301 + b258*b303 + 7*b258*b307 + 12*b258*b309 + 8*b258*b533 + 2*b258*b540
      + 2*b258*b541 + 51*b258*b545 + 8*b258*b547 + 7*b258*b548 + 14*b258*b550
      + 5*b258*b551 + 45*b258*b554 + 41*b258*b560 + 16*b258*b561 + 5*b258*b563
      + 9*b258*b565 + 7*b258*b568 + 12*b258*b570 + 3*b258*b577 + 9*b258*b580 + 
     2*b258*b584 + 5*b258*b587 + 39*b258*b593 + 16*b258*b598 + 6*b258*b608 + 
     b258*b609 + 47*b258*b612 + 35*b258*b614 + 4*b259*b311 + 16*b259*b313 + 9*
     b259*b315 + 65*b259*b318 + 58*b259*b319 + 12*b259*b322 + 34*b259*b323 + 18
     *b259*b326 + 28*b259*b328 + 76*b259*b332 + 6*b259*b333 + 55*b259*b338 + 35
     *b259*b342 + 36*b259*b343 + 9*b259*b344 + 37*b259*b346 + 11*b259*b347 + 
     b259*b354 + 2*b259*b355 + 15*b259*b361 + 3*b259*b364 + 56*b259*b365 + 30*
     b259*b366 + 2*b259*b367 + 26*b259*b368 + 3*b259*b371 + 14*b259*b372 + 57*
     b259*b374 + 108*b259*b376 + 36*b259*b377 + 27*b259*b387 + 7*b259*b388 + 10
     *b259*b390 + 20*b259*b391 + 54*b259*b394 + 22*b259*b396 + 26*b259*b397 + 2
     *b259*b399 + 37*b259*b400 + 5*b259*b403 + 40*b259*b404 + 60*b259*b405 + 23
     *b259*b407 + 4*b259*b408 + 21*b259*b413 + 12*b259*b418 + 4*b259*b420 + 8*
     b259*b423 + 17*b259*b426 + 12*b259*b429 + 48*b259*b430 + 13*b259*b432 + 10
     *b259*b435 + 9*b259*b440 + 19*b259*b446 + 32*b259*b449 + 8*b259*b450 + 6*
     b259*b451 + 56*b259*b454 + 105*b259*b457 + 15*b259*b458 + 14*b259*b459 + 
     24*b259*b460 + 27*b259*b461 + 15*b259*b462 + 7*b259*b463 + 63*b259*b466 + 
     59*b259*b469 + 7*b259*b471 + 11*b259*b472 + 56*b259*b473 + 16*b259*b474 + 
     11*b259*b477 + 22*b259*b486 + 60*b259*b489 + 12*b259*b492 + 23*b259*b496
      + 25*b259*b499 + 11*b259*b500 + 35*b259*b502 + 17*b259*b506 + 9*b259*b507
      + 2*b259*b508 + 150*b260*b311 + 10*b260*b314 + 8*b260*b315 + 76*b260*b319
      + 9*b260*b320 + 39*b260*b321 + 120*b260*b325 + 3*b260*b326 + 56*b260*b328
      + 7*b260*b334 + 143*b260*b336 + 44*b260*b337 + 121*b260*b344 + 23*b260*
     b345 + 43*b260*b347 + 36*b260*b349 + 16*b260*b354 + 23*b260*b357 + 61*b260
     *b358 + 3*b260*b360 + 18*b260*b363 + 35*b260*b379 + 32*b260*b380 + 30*b260
     *b381 + 16*b260*b382 + 5*b260*b383 + 16*b260*b386 + 20*b260*b387 + 21*b260
     *b388 + b260*b390 + 28*b260*b395 + 26*b260*b404 + 29*b260*b410 + 8*b260*
     b414 + 14*b260*b415 + 87*b260*b422 + 4*b260*b431 + 84*b260*b433 + 13*b260*
     b439 + 13*b260*b441 + 3*b260*b447 + 10*b260*b453 + 4*b260*b454 + 34*b260*
     b455 + 28*b260*b456 + 13*b260*b457 + 36*b260*b461 + 42*b260*b463 + 23*b260
     *b464 + 100*b260*b466 + 77*b260*b467 + 20*b260*b473 + 14*b260*b478 + 2*
     b260*b479 + 144*b260*b486 + 10*b260*b488 + 16*b260*b491 + 6*b260*b493 + 7*
     b260*b494 + 12*b260*b496 + 25*b260*b497 + 11*b260*b498 + 65*b260*b500 + 
     105*b260*b501 + 19*b260*b502 + 37*b260*b503 + 13*b260*b505 + 11*b260*b506
      + 34*b260*b507 + 12*b260*b508 + 53*b261*b313 + 10*b261*b314 + 18*b261*
     b316 + 8*b261*b321 + 53*b261*b323 + 9*b261*b325 + 14*b261*b327 + 80*b261*
     b334 + 16*b261*b335 + 22*b261*b336 + 30*b261*b337 + 66*b261*b338 + 27*b261
     *b339 + 7*b261*b343 + 8*b261*b344 + 49*b261*b345 + 15*b261*b346 + 53*b261*
     b354 + 48*b261*b355 + b261*b357 + 25*b261*b358 + 29*b261*b360 + 38*b261*
     b363 + 18*b261*b366 + 31*b261*b367 + 10*b261*b368 + 148*b261*b369 + 17*
     b261*b370 + 15*b261*b372 + 8*b261*b374 + 47*b261*b375 + 51*b261*b377 + 23*
     b261*b382 + 117*b261*b384 + 22*b261*b389 + 41*b261*b391 + 36*b261*b395 + 
     24*b261*b398 + b261*b403 + 15*b261*b406 + 21*b261*b408 + 18*b261*b409 + 88
     *b261*b412 + 4*b261*b413 + 15*b261*b414 + 64*b261*b416 + 65*b261*b417 + 9*
     b261*b419 + 35*b261*b420 + 14*b261*b421 + 26*b261*b425 + 14*b261*b426 + 17
     *b261*b427 + 18*b261*b428 + 25*b261*b430 + 19*b261*b432 + 2*b261*b436 + 16
     *b261*b437 + 14*b261*b439 + 40*b261*b440 + 24*b261*b442 + 21*b261*b443 + 
     105*b261*b444 + 3*b261*b445 + 29*b261*b448 + 7*b261*b450 + 3*b261*b453 + 
     51*b261*b455 + 9*b261*b457 + 53*b261*b463 + 7*b261*b464 + 28*b261*b466 + 
     58*b261*b467 + 30*b261*b470 + 5*b261*b473 + 7*b261*b474 + 19*b261*b475 + 
     55*b261*b476 + 69*b261*b477 + 18*b261*b479 + 59*b261*b481 + 33*b261*b485
      + 4*b261*b486 + 12*b261*b487 + 21*b261*b491 + b261*b498 + 38*b261*b500 + 
     24*b261*b501 + 210*b261*b508 + 10*b262*b311 + 34*b262*b313 + 65*b262*b314
      + 60*b262*b315 + 65*b262*b317 + 47*b262*b318 + 5*b262*b319 + 13*b262*b321
      + 9*b262*b326 + 19*b262*b327 + 5*b262*b331 + 17*b262*b334 + 6*b262*b337
      + 28*b262*b338 + 30*b262*b339 + 47*b262*b340 + 11*b262*b343 + 33*b262*
     b346 + 4*b262*b348 + 21*b262*b353 + 19*b262*b355 + 2*b262*b357 + 8*b262*
     b358 + 12*b262*b361 + 67*b262*b365 + 34*b262*b366 + 33*b262*b367 + 16*b262
     *b368 + 49*b262*b369 + 3*b262*b371 + 100*b262*b376 + 70*b262*b377 + b262*
     b379 + 95*b262*b380 + 34*b262*b381 + 23*b262*b384 + 96*b262*b385 + 12*b262
     *b386 + 14*b262*b387 + 22*b262*b390 + 75*b262*b397 + 23*b262*b400 + b262*
     b401 + 12*b262*b403 + 10*b262*b407 + 16*b262*b411 + 11*b262*b412 + 26*b262
     *b413 + 28*b262*b414 + 15*b262*b415 + 8*b262*b417 + 9*b262*b418 + 86*b262*
     b419 + 3*b262*b422 + 4*b262*b423 + 6*b262*b424 + 6*b262*b426 + 51*b262*
     b430 + 82*b262*b431 + 41*b262*b433 + 44*b262*b434 + 5*b262*b435 + 35*b262*
     b436 + 19*b262*b443 + 51*b262*b445 + 32*b262*b446 + 47*b262*b448 + 61*b262
     *b449 + 6*b262*b452 + 20*b262*b453 + 47*b262*b454 + 3*b262*b458 + 6*b262*
     b463 + 40*b262*b465 + 32*b262*b469 + 12*b262*b471 + 32*b262*b472 + 16*b262
     *b474 + 63*b262*b480 + 29*b262*b482 + 12*b262*b483 + 23*b262*b486 + 10*
     b262*b487 + 3*b262*b488 + 18*b262*b491 + 152*b262*b493 + 8*b262*b497 + 22*
     b262*b500 + 16*b262*b506 + 14*b262*b508 + 11*b262*b510 + 53*b263*b314 + 17
     *b263*b315 + 39*b263*b316 + 28*b263*b321 + 79*b263*b323 + 6*b263*b324 + 19
     *b263*b325 + 32*b263*b328 + 3*b263*b329 + 10*b263*b331 + 94*b263*b332 + 34
     *b263*b333 + 151*b263*b336 + 45*b263*b338 + 24*b263*b341 + 8*b263*b342 + 
     76*b263*b344 + 59*b263*b345 + 4*b263*b346 + 5*b263*b347 + 12*b263*b351 + 
     113*b263*b353 + 12*b263*b354 + 162*b263*b355 + 37*b263*b356 + 23*b263*b357
      + 11*b263*b363 + 135*b263*b366 + 19*b263*b367 + 24*b263*b368 + 5*b263*
     b369 + 114*b263*b370 + 18*b263*b371 + 58*b263*b377 + 8*b263*b379 + 23*b263
     *b380 + 56*b263*b382 + 13*b263*b383 + 64*b263*b384 + 16*b263*b387 + 40*
     b263*b388 + 11*b263*b389 + 45*b263*b390 + b263*b391 + 8*b263*b397 + 10*
     b263*b398 + 4*b263*b403 + 3*b263*b405 + 9*b263*b406 + 2*b263*b410 + 67*
     b263*b414 + 17*b263*b421 + 95*b263*b422 + 49*b263*b430 + 28*b263*b431 + 26
     *b263*b439 + 20*b263*b448 + 12*b263*b451 + 12*b263*b454 + 3*b263*b456 + 
     166*b263*b460 + 145*b263*b463 + 20*b263*b465 + 43*b263*b469 + 10*b263*b479
      + 55*b263*b480 + b263*b481 + 50*b263*b482 + 39*b263*b486 + 8*b263*b488 + 
     24*b263*b492 + 3*b263*b493 + 9*b263*b494 + 16*b263*b496 + 26*b263*b500 + 
     85*b263*b501 + 20*b263*b503 + 2*b263*b505 + 15*b263*b506 + 28*b264*b312 + 
     18*b264*b313 + 85*b264*b315 + 89*b264*b317 + 33*b264*b318 + 22*b264*b319
      + 148*b264*b320 + 26*b264*b321 + 24*b264*b326 + 35*b264*b327 + 16*b264*
     b328 + 3*b264*b330 + 42*b264*b335 + 26*b264*b336 + 21*b264*b337 + 35*b264*
     b338 + 21*b264*b339 + 53*b264*b342 + 13*b264*b347 + b264*b352 + 35*b264*
     b354 + 6*b264*b355 + 13*b264*b357 + 13*b264*b358 + 6*b264*b364 + 50*b264*
     b365 + 109*b264*b367 + 32*b264*b368 + 13*b264*b371 + 73*b264*b375 + 2*b264
     *b378 + 80*b264*b380 + 102*b264*b382 + 45*b264*b383 + 159*b264*b385 + 64*
     b264*b386 + 21*b264*b387 + 13*b264*b391 + 98*b264*b392 + 39*b264*b400 + 26
     *b264*b404 + 23*b264*b405 + 38*b264*b408 + 14*b264*b409 + b264*b411 + 7*
     b264*b413 + 4*b264*b414 + 46*b264*b416 + 39*b264*b417 + 52*b264*b418 + 89*
     b264*b419 + 112*b264*b420 + b264*b427 + 67*b264*b428 + 24*b264*b429 + 142*
     b264*b432 + 25*b264*b433 + 4*b264*b434 + 12*b264*b436 + 18*b264*b438 + 77*
     b264*b439 + 22*b264*b440 + 38*b264*b441 + 8*b264*b442 + 92*b264*b446 + 28*
     b264*b448 + 16*b264*b450 + 29*b264*b452 + 25*b264*b453 + 25*b264*b455 + 27
     *b264*b457 + 5*b264*b459 + 7*b264*b461 + 44*b264*b463 + 72*b264*b464 + 23*
     b264*b467 + 18*b264*b469 + 37*b264*b470 + 35*b264*b472 + 8*b264*b474 + 21*
     b264*b475 + 3*b264*b476 + 24*b264*b477 + 78*b264*b480 + 22*b264*b483 + 107
     *b264*b485 + 25*b264*b487 + 49*b264*b492 + 49*b264*b493 + 2*b264*b497 + 10
     *b264*b500 + 16*b264*b501 + 37*b264*b508 + 2*b264*b510 + b265*b311 + 10*
     b265*b312 + 39*b265*b313 + 60*b265*b315 + 5*b265*b316 + 98*b265*b317 + 127
     *b265*b319 + 5*b265*b323 + 42*b265*b324 + 43*b265*b327 + 16*b265*b330 + 76
     *b265*b331 + 31*b265*b335 + 27*b265*b336 + 35*b265*b337 + 21*b265*b339 + 
     73*b265*b342 + 62*b265*b344 + 39*b265*b345 + 28*b265*b347 + 14*b265*b354
      + 48*b265*b357 + 28*b265*b361 + 54*b265*b363 + 43*b265*b364 + 3*b265*b366
      + 86*b265*b367 + 23*b265*b368 + 20*b265*b372 + 9*b265*b379 + 52*b265*b382
      + 31*b265*b384 + 142*b265*b385 + 9*b265*b387 + 39*b265*b388 + 31*b265*
     b390 + 12*b265*b394 + b265*b397 + 23*b265*b399 + 36*b265*b400 + 7*b265*
     b402 + 13*b265*b404 + 15*b265*b406 + 16*b265*b410 + 108*b265*b411 + 8*b265
     *b412 + 2*b265*b415 + 76*b265*b417 + 10*b265*b418 + 10*b265*b419 + 4*b265*
     b425 + 12*b265*b428 + 2*b265*b430 + 21*b265*b433 + 18*b265*b434 + 13*b265*
     b437 + 10*b265*b438 + 35*b265*b439 + 7*b265*b440 + 44*b265*b442 + 14*b265*
     b443 + 21*b265*b447 + 38*b265*b448 + 39*b265*b449 + 21*b265*b451 + 15*b265
     *b452 + 55*b265*b457 + 3*b265*b459 + 23*b265*b464 + 18*b265*b466 + 53*b265
     *b467 + 17*b265*b468 + 100*b265*b471 + 52*b265*b472 + 25*b265*b474 + 3*
     b265*b475 + 16*b265*b476 + 143*b265*b477 + 5*b265*b478 + 21*b265*b479 + 34
     *b265*b480 + 79*b265*b482 + 53*b265*b483 + 44*b265*b484 + 5*b265*b487 + 16
     *b265*b488 + 11*b265*b491 + 57*b265*b494 + 9*b265*b500 + 23*b265*b501 + 18
     *b265*b503 + 21*b265*b505 + 51*b266*b311 + 28*b266*b314 + 34*b266*b315 + 
     57*b266*b319 + 8*b266*b320 + 4*b266*b323 + 6*b266*b324 + 38*b266*b329 + 12
     *b266*b336 + 23*b266*b338 + 3*b266*b339 + 3*b266*b341 + 18*b266*b343 + 6*
     b266*b347 + 22*b266*b349 + 8*b266*b353 + 54*b266*b354 + 44*b266*b360 + 18*
     b266*b361 + b266*b362 + 56*b266*b365 + 16*b266*b366 + 4*b266*b376 + 23*
     b266*b377 + 35*b266*b392 + 26*b266*b397 + 39*b266*b398 + 16*b266*b401 + 27
     *b266*b408 + 87*b266*b411 + 10*b266*b416 + 23*b266*b417 + 9*b266*b420 + 80
     *b266*b421 + 18*b266*b422 + 3*b266*b423 + 13*b266*b428 + 2*b266*b431 + 18*
     b266*b434 + 26*b266*b435 + 8*b266*b437 + 46*b266*b439 + 44*b266*b441 + 15*
     b266*b446 + 17*b266*b450 + 4*b266*b451 + 3*b266*b452 + 67*b266*b454 + 27*
     b266*b456 + 30*b266*b461 + 15*b266*b466 + 6*b266*b467 + 11*b266*b468 + 21*
     b266*b470 + 40*b266*b471 + b266*b473 + 10*b266*b474 + 10*b266*b481 + 5*
     b266*b485 + 16*b266*b488 + 70*b266*b489 + 9*b266*b490 + 6*b266*b491 + 45*
     b266*b496 + 11*b266*b499 + 19*b266*b503 + 70*b266*b505 + 13*b266*b506 + 9*
     b266*b507 + 10*b267*b314 + 10*b267*b317 + 11*b267*b320 + 5*b267*b321 + 3*
     b267*b322 + 5*b267*b323 + 3*b267*b324 + 9*b267*b325 + 48*b267*b326 + 36*
     b267*b329 + 13*b267*b333 + 7*b267*b335 + 47*b267*b336 + 56*b267*b337 + 28*
     b267*b343 + 9*b267*b344 + 2*b267*b347 + 21*b267*b348 + 7*b267*b351 + 79*
     b267*b355 + 15*b267*b356 + 16*b267*b359 + 26*b267*b362 + 21*b267*b363 + 54
     *b267*b368 + 4*b267*b377 + 10*b267*b379 + 2*b267*b380 + 100*b267*b382 + 13
     *b267*b385 + 9*b267*b388 + 15*b267*b389 + 38*b267*b395 + 3*b267*b398 + 8*
     b267*b400 + 79*b267*b405 + 63*b267*b408 + 16*b267*b410 + 30*b267*b411 + 
     105*b267*b412 + 5*b267*b414 + 4*b267*b417 + 55*b267*b420 + 12*b267*b421 + 
     43*b267*b425 + 4*b267*b427 + 2*b267*b428 + 21*b267*b429 + 17*b267*b431 + 
     31*b267*b432 + 46*b267*b433 + 15*b267*b436 + b267*b437 + 40*b267*b440 + 21
     *b267*b441 + 9*b267*b443 + 12*b267*b444 + 24*b267*b446 + 28*b267*b448 + 
     153*b267*b449 + 17*b267*b450 + 30*b267*b451 + 150*b267*b452 + 2*b267*b453
      + 60*b267*b455 + 9*b267*b456 + 3*b267*b457 + 16*b267*b462 + 71*b267*b463
      + 59*b267*b464 + 25*b267*b465 + 56*b267*b466 + 2*b267*b468 + 5*b267*b470
      + 100*b267*b471 + 8*b267*b473 + 78*b267*b474 + 29*b267*b475 + 3*b267*b477
      + 20*b267*b479 + 20*b267*b480 + 14*b267*b481 + 33*b267*b484 + 27*b267*
     b485 + 3*b267*b488 + 8*b267*b490 + 6*b267*b494 + 11*b267*b497 + 140*b267*
     b501 + 64*b267*b502 + 23*b267*b503 + 39*b267*b505 + 9*b267*b506 + 64*b267*
     b507 + 4*b267*b509 + 11*b268*b311 + 28*b268*b312 + 20*b268*b313 + 9*b268*
     b314 + 52*b268*b315 + 48*b268*b317 + 2*b268*b319 + 7*b268*b321 + 5*b268*
     b324 + 37*b268*b329 + 30*b268*b333 + 61*b268*b338 + 16*b268*b341 + 7*b268*
     b342 + 18*b268*b346 + 4*b268*b350 + 4*b268*b352 + 86*b268*b354 + 23*b268*
     b355 + 50*b268*b356 + 7*b268*b359 + 8*b268*b362 + 97*b268*b367 + 8*b268*
     b368 + 8*b268*b370 + 42*b268*b372 + 21*b268*b373 + 7*b268*b374 + 5*b268*
     b376 + b268*b377 + 9*b268*b378 + 9*b268*b379 + 12*b268*b382 + 66*b268*b385
      + 46*b268*b386 + 40*b268*b390 + 36*b268*b392 + 17*b268*b400 + 14*b268*
     b406 + 4*b268*b408 + 40*b268*b409 + 7*b268*b413 + 6*b268*b414 + 21*b268*
     b416 + 18*b268*b419 + 35*b268*b420 + 8*b268*b421 + 39*b268*b422 + 14*b268*
     b427 + 33*b268*b428 + 34*b268*b430 + 29*b268*b433 + 154*b268*b434 + 57*
     b268*b435 + 4*b268*b438 + 9*b268*b439 + 32*b268*b440 + 23*b268*b443 + 28*
     b268*b447 + 14*b268*b449 + 17*b268*b454 + 12*b268*b455 + 34*b268*b458 + 10
     *b268*b461 + 51*b268*b466 + 22*b268*b473 + 15*b268*b474 + 2*b268*b475 + 85
     *b268*b477 + 10*b268*b480 + 38*b268*b484 + b268*b488 + 32*b268*b489 + 154*
     b268*b490 + 13*b268*b496 + 12*b268*b497 + 2*b268*b501 + 25*b268*b504 + 22*
     b268*b505 + 46*b268*b508 + 2*b268*b510 + 30*b269*b311 + 5*b269*b312 + 33*
     b269*b315 + 58*b269*b316 + 3*b269*b317 + 26*b269*b324 + 28*b269*b325 + 40*
     b269*b329 + 73*b269*b331 + 36*b269*b334 + 21*b269*b336 + 32*b269*b337 + 8*
     b269*b338 + 3*b269*b340 + 26*b269*b341 + 38*b269*b342 + 20*b269*b343 + 8*
     b269*b346 + 56*b269*b351 + 13*b269*b353 + 45*b269*b356 + 24*b269*b358 + 7*
     b269*b359 + 30*b269*b362 + 9*b269*b365 + 4*b269*b366 + 22*b269*b367 + 8*
     b269*b368 + 13*b269*b372 + 19*b269*b373 + 30*b269*b375 + 2*b269*b376 + 11*
     b269*b380 + 19*b269*b382 + 19*b269*b386 + 37*b269*b401 + 20*b269*b402 + 7*
     b269*b407 + 8*b269*b408 + b269*b418 + 20*b269*b419 + 71*b269*b423 + 33*
     b269*b424 + 48*b269*b426 + 12*b269*b428 + 28*b269*b429 + 26*b269*b435 + 4*
     b269*b436 + 22*b269*b437 + 12*b269*b439 + 6*b269*b441 + 26*b269*b442 + 2*
     b269*b444 + 35*b269*b451 + 11*b269*b454 + 33*b269*b458 + 13*b269*b460 + 10
     *b269*b465 + 38*b269*b466 + 12*b269*b471 + 21*b269*b472 + 12*b269*b474 + 
     14*b269*b479 + 11*b269*b480 + 53*b269*b482 + 27*b269*b483 + 35*b269*b484
      + 36*b269*b488 + 35*b269*b489 + 11*b269*b491 + 13*b269*b493 + 40*b269*
     b494 + 31*b269*b495 + 13*b269*b497 + b269*b498 + 64*b269*b499 + 4*b269*
     b500 + 6*b269*b501 + b269*b503 + 22*b269*b505 + 20*b269*b506 + 6*b269*b508
      + 79*b270*b313 + 10*b270*b318 + 32*b270*b324 + 70*b270*b328 + 85*b270*
     b329 + 60*b270*b332 + 19*b270*b333 + 36*b270*b334 + 2*b270*b335 + 24*b270*
     b342 + 19*b270*b351 + 31*b270*b352 + 17*b270*b354 + 11*b270*b355 + 95*b270
     *b357 + 102*b270*b360 + 2*b270*b362 + 7*b270*b363 + 72*b270*b366 + 3*b270*
     b367 + 14*b270*b368 + 92*b270*b369 + 42*b270*b370 + 19*b270*b371 + 6*b270*
     b372 + 30*b270*b379 + 5*b270*b380 + 27*b270*b382 + 19*b270*b384 + 20*b270*
     b388 + 14*b270*b390 + 2*b270*b392 + 64*b270*b395 + 40*b270*b398 + 12*b270*
     b403 + 6*b270*b406 + 44*b270*b407 + 24*b270*b408 + 24*b270*b409 + 110*b270
     *b410 + 74*b270*b411 + 20*b270*b413 + 93*b270*b415 + 70*b270*b416 + 21*
     b270*b418 + 24*b270*b419 + 22*b270*b420 + 55*b270*b421 + 5*b270*b423 + 27*
     b270*b424 + 127*b270*b425 + 52*b270*b428 + 27*b270*b429 + 48*b270*b430 + 
     12*b270*b431 + 8*b270*b435 + 36*b270*b436 + 13*b270*b438 + 117*b270*b442
      + 32*b270*b443 + 66*b270*b445 + 16*b270*b452 + 21*b270*b453 + 32*b270*
     b455 + 11*b270*b456 + 73*b270*b457 + b270*b458 + 63*b270*b463 + 29*b270*
     b464 + 39*b270*b466 + 17*b270*b467 + 46*b270*b468 + 41*b270*b470 + 49*b270
     *b471 + 33*b270*b472 + 36*b270*b473 + 24*b270*b477 + 35*b270*b478 + b270*
     b485 + 31*b270*b486 + b270*b487 + b270*b489 + 32*b270*b496 + 3*b270*b498
      + 13*b270*b499 + 58*b270*b501 + 100*b270*b502 + 95*b270*b507 + 9*b271*
     b311 + 14*b271*b312 + 14*b271*b316 + 60*b271*b317 + 12*b271*b318 + 46*b271
     *b319 + 2*b271*b320 + 7*b271*b321 + 6*b271*b325 + 19*b271*b329 + 29*b271*
     b331 + 10*b271*b337 + 12*b271*b338 + 85*b271*b345 + 17*b271*b346 + 48*b271
     *b348 + 122*b271*b349 + 79*b271*b353 + 55*b271*b354 + 24*b271*b357 + b271*
     b358 + 3*b271*b362 + 37*b271*b363 + 72*b271*b375 + 64*b271*b378 + 4*b271*
     b379 + 93*b271*b380 + 99*b271*b382 + 2*b271*b383 + 68*b271*b384 + 82*b271*
     b385 + 120*b271*b386 + b271*b387 + 73*b271*b388 + 14*b271*b391 + 12*b271*
     b399 + 32*b271*b402 + 7*b271*b406 + 6*b271*b409 + 35*b271*b410 + 3*b271*
     b412 + 14*b271*b414 + 6*b271*b415 + 35*b271*b416 + 44*b271*b417 + 112*b271
     *b422 + 3*b271*b423 + b271*b425 + 11*b271*b428 + 45*b271*b431 + 8*b271*
     b432 + 6*b271*b433 + 11*b271*b438 + 129*b271*b439 + 33*b271*b443 + 31*b271
     *b451 + 9*b271*b453 + b271*b456 + 4*b271*b458 + 66*b271*b461 + 60*b271*
     b470 + 13*b271*b471 + 4*b271*b474 + 31*b271*b476 + 12*b271*b479 + 75*b271*
     b480 + 33*b271*b481 + 10*b271*b483 + 13*b271*b484 + 132*b271*b485 + 8*b271
     *b488 + 15*b271*b490 + 22*b271*b491 + 78*b271*b493 + 24*b271*b494 + 46*
     b271*b496 + 3*b271*b497 + 15*b271*b500 + 5*b271*b501 + 20*b271*b502 + 24*
     b271*b503 + 121*b271*b507 + 31*b272*b312 + 10*b272*b313 + 9*b272*b316 + 28
     *b272*b318 + b272*b319 + 14*b272*b320 + b272*b323 + 17*b272*b327 + 26*b272
     *b328 + 11*b272*b330 + 54*b272*b334 + 22*b272*b335 + 3*b272*b338 + 4*b272*
     b343 + 51*b272*b344 + 10*b272*b345 + 6*b272*b347 + 43*b272*b348 + 74*b272*
     b351 + 2*b272*b352 + 9*b272*b353 + 3*b272*b354 + 13*b272*b366 + 22*b272*
     b367 + 53*b272*b369 + 164*b272*b371 + 7*b272*b372 + 34*b272*b373 + 60*b272
     *b375 + 6*b272*b377 + 18*b272*b380 + 16*b272*b381 + 19*b272*b383 + 10*b272
     *b386 + 17*b272*b387 + 10*b272*b388 + 29*b272*b390 + 2*b272*b391 + 47*b272
     *b395 + 66*b272*b396 + 11*b272*b397 + 100*b272*b404 + 19*b272*b405 + 2*
     b272*b407 + 73*b272*b409 + 37*b272*b411 + 16*b272*b414 + 10*b272*b415 + 2*
     b272*b416 + 21*b272*b417 + 25*b272*b421 + 6*b272*b422 + 134*b272*b423 + 8*
     b272*b425 + 9*b272*b428 + 11*b272*b431 + 20*b272*b433 + 25*b272*b437 + 17*
     b272*b441 + 16*b272*b442 + 14*b272*b448 + 47*b272*b451 + b272*b453 + 8*
     b272*b455 + 5*b272*b456 + 28*b272*b457 + 9*b272*b459 + 25*b272*b460 + 22*
     b272*b461 + 113*b272*b462 + 12*b272*b463 + 4*b272*b468 + 12*b272*b470 + 49
     *b272*b472 + 31*b272*b474 + 37*b272*b477 + 28*b272*b478 + 11*b272*b479 + 
     83*b272*b481 + 2*b272*b484 + 36*b272*b486 + 27*b272*b487 + 18*b272*b489 + 
     2*b272*b492 + 13*b272*b493 + 15*b272*b498 + 4*b272*b501 + 3*b272*b502 + 
     109*b272*b503 + 32*b272*b508 + 3*b272*b509 + 15*b273*b312 + 10*b273*b313
      + 13*b273*b315 + 10*b273*b316 + 41*b273*b319 + 9*b273*b320 + 132*b273*
     b322 + 24*b273*b325 + 29*b273*b326 + 7*b273*b329 + 28*b273*b330 + 80*b273*
     b331 + 34*b273*b332 + 64*b273*b334 + 28*b273*b335 + 68*b273*b339 + 7*b273*
     b343 + 3*b273*b344 + 15*b273*b345 + 8*b273*b346 + 8*b273*b349 + 13*b273*
     b351 + 67*b273*b354 + 3*b273*b355 + 16*b273*b362 + 126*b273*b367 + 31*b273
     *b368 + 101*b273*b371 + b273*b373 + 147*b273*b383 + 117*b273*b385 + 41*
     b273*b386 + 126*b273*b388 + 46*b273*b390 + 63*b273*b391 + 6*b273*b396 + 3*
     b273*b401 + 27*b273*b402 + 63*b273*b403 + 8*b273*b406 + 9*b273*b410 + 10*
     b273*b412 + 151*b273*b413 + 23*b273*b414 + 124*b273*b417 + 27*b273*b419 + 
     51*b273*b427 + 55*b273*b428 + 34*b273*b429 + 52*b273*b434 + 22*b273*b435
      + 24*b273*b437 + 54*b273*b439 + 16*b273*b441 + 41*b273*b453 + 20*b273*
     b457 + 23*b273*b460 + 27*b273*b463 + 29*b273*b464 + 31*b273*b465 + 3*b273*
     b467 + 18*b273*b469 + 59*b273*b472 + 31*b273*b475 + 64*b273*b476 + 11*b273
     *b480 + 29*b273*b484 + 30*b273*b487 + 24*b273*b492 + 21*b273*b500 + 27*
     b273*b501 + 10*b273*b504 + 80*b274*b313 + 17*b274*b314 + 48*b274*b315 + 27
     *b274*b316 + 5*b274*b317 + 14*b274*b320 + 46*b274*b321 + 13*b274*b322 + 4*
     b274*b323 + 8*b274*b325 + 44*b274*b326 + 41*b274*b329 + 39*b274*b331 + 22*
     b274*b332 + 46*b274*b335 + 2*b274*b336 + 49*b274*b337 + 104*b274*b339 + 14
     *b274*b343 + 2*b274*b344 + 9*b274*b345 + 13*b274*b350 + 23*b274*b353 + 4*
     b274*b354 + 5*b274*b356 + 2*b274*b361 + 42*b274*b362 + 26*b274*b364 + 35*
     b274*b365 + 9*b274*b366 + 4*b274*b367 + 169*b274*b368 + 42*b274*b370 + 19*
     b274*b376 + 27*b274*b381 + 11*b274*b384 + 54*b274*b398 + 8*b274*b400 + 45*
     b274*b401 + 31*b274*b405 + 33*b274*b406 + 6*b274*b407 + 19*b274*b409 + 11*
     b274*b417 + 22*b274*b419 + 7*b274*b424 + 25*b274*b425 + 9*b274*b428 + 69*
     b274*b429 + 5*b274*b430 + 60*b274*b432 + 87*b274*b433 + 7*b274*b439 + 29*
     b274*b440 + 19*b274*b444 + 40*b274*b445 + 4*b274*b457 + 6*b274*b459 + 45*
     b274*b461 + 3*b274*b462 + 28*b274*b463 + 65*b274*b467 + 2*b274*b470 + 9*
     b274*b472 + 2*b274*b473 + 29*b274*b474 + 16*b274*b475 + 70*b274*b478 + 4*
     b274*b480 + 17*b274*b485 + 21*b274*b487 + 24*b274*b493 + 19*b274*b495 + 25
     *b274*b497 + 10*b274*b499 + 15*b274*b501 + 23*b274*b502 + 38*b274*b503 + 
     28*b274*b507 + 4*b274*b508 + 12*b274*b509 + 7*b274*b510 + 29*b275*b312 + 
     39*b275*b313 + 17*b275*b314 + 21*b275*b316 + 6*b275*b317 + 64*b275*b318 + 
     10*b275*b320 + 36*b275*b321 + 9*b275*b322 + 144*b275*b324 + 70*b275*b325
      + 27*b275*b326 + b275*b327 + 15*b275*b329 + 3*b275*b330 + 47*b275*b331 + 
     13*b275*b332 + 18*b275*b334 + 32*b275*b336 + 63*b275*b337 + 57*b275*b339
      + 20*b275*b342 + 11*b275*b344 + 32*b275*b346 + 40*b275*b348 + 25*b275*
     b353 + 19*b275*b354 + b275*b355 + 11*b275*b356 + 44*b275*b358 + 6*b275*
     b363 + 16*b275*b364 + 13*b275*b369 + 14*b275*b372 + 56*b275*b375 + 7*b275*
     b377 + 52*b275*b379 + 18*b275*b381 + 51*b275*b383 + 24*b275*b386 + 23*b275
     *b387 + b275*b388 + 28*b275*b389 + 10*b275*b390 + 13*b275*b391 + 10*b275*
     b395 + 18*b275*b398 + 2*b275*b401 + 21*b275*b404 + 28*b275*b405 + 25*b275*
     b406 + 13*b275*b407 + 12*b275*b408 + 50*b275*b409 + 13*b275*b410 + 22*b275
     *b411 + 40*b275*b419 + 8*b275*b421 + 11*b275*b422 + 30*b275*b425 + 4*b275*
     b428 + 16*b275*b430 + 23*b275*b431 + 29*b275*b432 + 12*b275*b435 + 112*
     b275*b436 + 2*b275*b441 + 37*b275*b444 + 6*b275*b445 + 21*b275*b449 + 36*
     b275*b450 + 22*b275*b452 + 71*b275*b453 + 19*b275*b455 + 92*b275*b456 + 5*
     b275*b458 + 26*b275*b459 + 15*b275*b462 + 26*b275*b463 + 53*b275*b465 + 35
     *b275*b472 + 8*b275*b475 + 7*b275*b476 + 12*b275*b479 + 29*b275*b481 + 6*
     b275*b484 + 16*b275*b485 + 78*b275*b486 + 153*b275*b487 + 14*b275*b490 + 
     92*b275*b494 + 48*b275*b495 + 35*b275*b496 + 35*b275*b497 + 7*b275*b499 + 
     18*b275*b502 + 25*b275*b506 + 18*b275*b507 + 29*b275*b508 + 5*b276*b312 + 
     26*b276*b314 + 9*b276*b316 + 5*b276*b321 + 7*b276*b323 + 10*b276*b324 + 34
     *b276*b328 + 16*b276*b335 + 11*b276*b336 + 21*b276*b337 + 50*b276*b342 + 
     46*b276*b344 + 26*b276*b348 + 3*b276*b350 + 58*b276*b355 + 12*b276*b357 + 
     11*b276*b359 + 24*b276*b360 + 36*b276*b361 + 30*b276*b362 + 44*b276*b365
      + 43*b276*b366 + 67*b276*b367 + 63*b276*b368 + 21*b276*b369 + 66*b276*
     b370 + 2*b276*b372 + 8*b276*b373 + 20*b276*b375 + 2*b276*b377 + 14*b276*
     b382 + 20*b276*b385 + 66*b276*b388 + 3*b276*b390 + 31*b276*b393 + 2*b276*
     b394 + 26*b276*b395 + 23*b276*b396 + 5*b276*b397 + 20*b276*b398 + 20*b276*
     b399 + 13*b276*b402 + 80*b276*b408 + 66*b276*b411 + 145*b276*b414 + 15*
     b276*b416 + 23*b276*b419 + 38*b276*b421 + 6*b276*b423 + 8*b276*b424 + 9*
     b276*b428 + 4*b276*b430 + b276*b434 + 15*b276*b438 + 36*b276*b441 + 37*
     b276*b443 + 33*b276*b446 + 29*b276*b448 + 82*b276*b454 + 37*b276*b455 + 4*
     b276*b458 + 13*b276*b460 + 29*b276*b462 + 59*b276*b466 + 50*b276*b467 + 
     100*b276*b469 + 16*b276*b470 + 53*b276*b471 + 27*b276*b473 + 54*b276*b478
      + 54*b276*b479 + 42*b276*b480 + 73*b276*b481 + 46*b276*b483 + 17*b276*
     b487 + 9*b276*b488 + 13*b276*b500 + 2*b276*b502 + 49*b276*b503 + 155*b276*
     b506 + 31*b276*b507 + 108*b276*b508 + 28*b276*b509 + 9*b277*b312 + 54*b277
     *b313 + 24*b277*b316 + 23*b277*b317 + 14*b277*b325 + 40*b277*b327 + 41*
     b277*b332 + 10*b277*b333 + 20*b277*b336 + 25*b277*b337 + 56*b277*b338 + 40
     *b277*b339 + 23*b277*b343 + 18*b277*b345 + 11*b277*b346 + 15*b277*b348 + 
     19*b277*b350 + 39*b277*b351 + 14*b277*b353 + 20*b277*b356 + 21*b277*b359
      + 6*b277*b361 + 33*b277*b362 + 38*b277*b367 + 52*b277*b368 + 20*b277*b372
      + 51*b277*b373 + 151*b277*b383 + 27*b277*b384 + 21*b277*b385 + 5*b277*
     b387 + 22*b277*b389 + 2*b277*b390 + 18*b277*b392 + 56*b277*b396 + 33*b277*
     b398 + b277*b400 + 4*b277*b401 + 29*b277*b402 + 16*b277*b406 + 14*b277*
     b412 + 52*b277*b417 + 8*b277*b418 + 19*b277*b421 + 24*b277*b423 + 30*b277*
     b425 + 42*b277*b427 + 24*b277*b430 + 31*b277*b432 + 12*b277*b433 + 5*b277*
     b436 + 78*b277*b437 + 2*b277*b438 + 2*b277*b439 + 109*b277*b444 + 11*b277*
     b446 + 47*b277*b448 + 21*b277*b449 + 23*b277*b450 + 46*b277*b452 + 21*b277
     *b456 + 4*b277*b457 + 39*b277*b461 + 44*b277*b463 + 14*b277*b464 + 86*b277
     *b469 + 63*b277*b470 + 31*b277*b472 + 9*b277*b474 + 12*b277*b477 + 70*b277
     *b479 + 22*b277*b483 + 15*b277*b485 + 4*b277*b486 + 35*b277*b487 + 3*b277*
     b493 + 39*b277*b494 + 4*b277*b501 + 119*b277*b503 + 11*b277*b505 + 4*b277*
     b507 + 40*b277*b509 + 11*b278*b314 + 8*b278*b318 + 17*b278*b319 + 19*b278*
     b320 + 10*b278*b321 + 30*b278*b323 + 151*b278*b324 + 25*b278*b327 + 15*
     b278*b328 + 8*b278*b334 + 12*b278*b335 + 37*b278*b337 + 4*b278*b339 + 25*
     b278*b342 + 36*b278*b348 + 19*b278*b349 + 16*b278*b356 + 27*b278*b360 + 75
     *b278*b361 + 51*b278*b362 + 5*b278*b366 + 18*b278*b367 + 7*b278*b368 + 38*
     b278*b369 + 21*b278*b371 + 4*b278*b374 + 32*b278*b377 + 18*b278*b378 + 6*
     b278*b383 + 12*b278*b384 + 129*b278*b387 + 19*b278*b388 + 23*b278*b394 + 
     148*b278*b400 + 13*b278*b403 + 68*b278*b404 + 27*b278*b405 + 33*b278*b406
      + 50*b278*b409 + 31*b278*b411 + 12*b278*b414 + 24*b278*b415 + 21*b278*
     b420 + 25*b278*b422 + 4*b278*b425 + 59*b278*b429 + 10*b278*b431 + 4*b278*
     b441 + 28*b278*b444 + 28*b278*b449 + 30*b278*b452 + 14*b278*b453 + 13*b278
     *b454 + 206*b278*b456 + 7*b278*b462 + 11*b278*b463 + 14*b278*b466 + 19*
     b278*b467 + 3*b278*b469 + 6*b278*b471 + 21*b278*b473 + 4*b278*b480 + 57*
     b278*b483 + 88*b278*b487 + 58*b278*b494 + 11*b278*b496 + 18*b278*b499 + 99
     *b278*b500 + 19*b278*b501 + 33*b278*b503 + 11*b278*b505 + 12*b279*b311 + 
     11*b279*b312 + 8*b279*b315 + 23*b279*b316 + 6*b279*b317 + 30*b279*b320 + 2
     *b279*b322 + 17*b279*b323 + 11*b279*b325 + 36*b279*b331 + 29*b279*b336 + 5
     *b279*b337 + 15*b279*b342 + 27*b279*b343 + 17*b279*b344 + 29*b279*b345 + 2
     *b279*b347 + 8*b279*b351 + 24*b279*b356 + 8*b279*b358 + 11*b279*b361 + 4*
     b279*b364 + 3*b279*b366 + 2*b279*b368 + 7*b279*b370 + 4*b279*b371 + 2*b279
     *b372 + 4*b279*b374 + 4*b279*b375 + 23*b279*b380 + 30*b279*b381 + 11*b279*
     b382 + 42*b279*b383 + 33*b279*b384 + 17*b279*b385 + 80*b279*b386 + 33*b279
     *b391 + 21*b279*b394 + 4*b279*b397 + 19*b279*b398 + b279*b403 + 25*b279*
     b409 + 11*b279*b410 + b279*b417 + 4*b279*b419 + 46*b279*b420 + 17*b279*
     b441 + 2*b279*b446 + 25*b279*b460 + b279*b464 + 25*b279*b467 + b279*b473
      + 26*b279*b474 + 23*b279*b476 + 18*b279*b479 + 37*b279*b480 + 15*b279*
     b482 + 17*b279*b488 + 26*b279*b492 + 32*b279*b499 + 12*b279*b501 + 14*b279
     *b503 + 8*b279*b505 + 15*b279*b506 + 8*b280*b311 + 88*b280*b313 + 18*b280*
     b314 + 22*b280*b318 + 12*b280*b320 + 16*b280*b321 + 4*b280*b323 + 64*b280*
     b324 + 21*b280*b329 + 27*b280*b330 + 40*b280*b331 + 76*b280*b334 + 7*b280*
     b335 + 24*b280*b336 + 10*b280*b337 + 40*b280*b338 + 94*b280*b341 + 54*b280
     *b344 + 11*b280*b346 + 3*b280*b348 + 5*b280*b350 + 55*b280*b354 + 9*b280*
     b355 + 7*b280*b360 + 8*b280*b368 + 49*b280*b370 + 8*b280*b371 + 20*b280*
     b372 + 7*b280*b373 + 9*b280*b375 + 13*b280*b378 + 157*b280*b379 + 35*b280*
     b380 + 20*b280*b381 + 29*b280*b382 + 11*b280*b386 + 22*b280*b389 + 46*b280
     *b390 + 13*b280*b397 + 46*b280*b400 + 77*b280*b404 + 126*b280*b408 + 22*
     b280*b410 + 18*b280*b412 + 16*b280*b413 + 3*b280*b414 + 47*b280*b418 + 22*
     b280*b419 + 4*b280*b420 + 33*b280*b422 + 27*b280*b425 + b280*b430 + 6*b280
     *b432 + 62*b280*b433 + 24*b280*b434 + 9*b280*b440 + 34*b280*b441 + 200*
     b280*b443 + 7*b280*b445 + 10*b280*b446 + 5*b280*b447 + 55*b280*b450 + 82*
     b280*b451 + 44*b280*b452 + 52*b280*b455 + 16*b280*b457 + 13*b280*b460 + 24
     *b280*b461 + 19*b280*b463 + 43*b280*b471 + 18*b280*b472 + 26*b280*b474 + 
     61*b280*b476 + 50*b280*b477 + 7*b280*b478 + 5*b280*b480 + 61*b280*b481 + 
     22*b280*b484 + 3*b280*b486 + 47*b280*b488 + 8*b280*b490 + 37*b280*b491 + 
     27*b280*b492 + 20*b280*b493 + 19*b280*b497 + 39*b280*b500 + 6*b280*b502 + 
     3*b280*b504 + 16*b280*b507 + 9*b280*b508 + 24*b281*b312 + 79*b281*b315 + 
     29*b281*b316 + 12*b281*b318 + 23*b281*b325 + 43*b281*b326 + 20*b281*b327
      + 5*b281*b329 + 27*b281*b332 + 13*b281*b333 + 38*b281*b334 + 3*b281*b337
      + 49*b281*b339 + 56*b281*b348 + 59*b281*b349 + 6*b281*b350 + 31*b281*b351
      + 41*b281*b356 + 25*b281*b358 + 3*b281*b360 + 20*b281*b361 + 9*b281*b362
      + 41*b281*b365 + 166*b281*b367 + 32*b281*b368 + 11*b281*b369 + 12*b281*
     b370 + 17*b281*b375 + 9*b281*b377 + 12*b281*b380 + 38*b281*b382 + 47*b281*
     b383 + 34*b281*b384 + 35*b281*b388 + 14*b281*b389 + 16*b281*b391 + 75*b281
     *b395 + 5*b281*b399 + 49*b281*b400 + 45*b281*b401 + 40*b281*b403 + 2*b281*
     b404 + 22*b281*b406 + 49*b281*b409 + 8*b281*b412 + 88*b281*b417 + b281*
     b418 + 66*b281*b419 + b281*b423 + 16*b281*b425 + 15*b281*b426 + 15*b281*
     b427 + 69*b281*b429 + 8*b281*b430 + 44*b281*b432 + 40*b281*b433 + 102*b281
     *b434 + 43*b281*b436 + 12*b281*b437 + 2*b281*b438 + 17*b281*b439 + 11*b281
     *b440 + 104*b281*b444 + 4*b281*b448 + 30*b281*b449 + 13*b281*b450 + 33*
     b281*b451 + 8*b281*b452 + 21*b281*b453 + 57*b281*b454 + 48*b281*b456 + 18*
     b281*b457 + 4*b281*b459 + 28*b281*b463 + 32*b281*b464 + 8*b281*b465 + 14*
     b281*b469 + 21*b281*b473 + 13*b281*b475 + 25*b281*b479 + 20*b281*b480 + 19
     *b281*b483 + 41*b281*b485 + 41*b281*b488 + 4*b281*b493 + 4*b281*b497 + 18*
     b281*b498 + 10*b281*b502 + 67*b281*b503 + 16*b281*b504 + 73*b281*b506 + 17
     *b281*b509 + 15*b282*b314 + 16*b282*b315 + 126*b282*b327 + 33*b282*b328 + 
     17*b282*b329 + 22*b282*b333 + 114*b282*b337 + 28*b282*b338 + 73*b282*b339
      + 16*b282*b342 + 89*b282*b347 + 24*b282*b352 + 19*b282*b353 + 5*b282*b356
      + 51*b282*b358 + 40*b282*b365 + 17*b282*b368 + b282*b371 + 25*b282*b373
      + 3*b282*b375 + 11*b282*b376 + 37*b282*b378 + 4*b282*b379 + 42*b282*b380
      + 46*b282*b384 + 6*b282*b385 + 7*b282*b386 + 70*b282*b387 + 42*b282*b388
      + b282*b390 + b282*b394 + 26*b282*b397 + 3*b282*b399 + 20*b282*b400 + 35*
     b282*b401 + 59*b282*b402 + 31*b282*b403 + b282*b404 + 3*b282*b411 + 41*
     b282*b412 + 3*b282*b414 + 33*b282*b416 + 6*b282*b417 + 25*b282*b418 + 63*
     b282*b419 + 15*b282*b420 + 38*b282*b428 + 18*b282*b429 + 8*b282*b430 + 11*
     b282*b432 + 156*b282*b437 + 13*b282*b441 + 50*b282*b442 + 19*b282*b443 + 
     21*b282*b444 + 14*b282*b446 + 2*b282*b447 + 133*b282*b448 + 6*b282*b449 + 
     31*b282*b451 + 17*b282*b452 + 7*b282*b454 + 34*b282*b455 + 4*b282*b457 + 
     b282*b465 + 112*b282*b466 + 33*b282*b467 + 21*b282*b471 + 26*b282*b472 + 
     b282*b474 + 4*b282*b478 + 24*b282*b479 + 16*b282*b482 + 69*b282*b483 + 26*
     b282*b484 + 24*b282*b487 + 97*b282*b488 + 104*b282*b491 + 24*b282*b492 + 4
     *b282*b493 + 131*b282*b494 + 101*b282*b497 + 239*b282*b500 + 7*b282*b505
      + 10*b282*b510 + 24*b283*b312 + 42*b283*b313 + 82*b283*b314 + 12*b283*
     b316 + 25*b283*b319 + 42*b283*b320 + 72*b283*b326 + 28*b283*b328 + b283*
     b330 + 6*b283*b331 + 45*b283*b332 + 42*b283*b333 + 19*b283*b336 + 2*b283*
     b339 + 17*b283*b341 + 9*b283*b343 + 61*b283*b344 + 8*b283*b349 + 11*b283*
     b351 + 23*b283*b353 + 18*b283*b354 + 10*b283*b357 + 64*b283*b358 + 197*
     b283*b360 + 13*b283*b363 + 35*b283*b365 + 6*b283*b366 + 33*b283*b368 + 36*
     b283*b369 + 9*b283*b373 + 55*b283*b375 + 28*b283*b378 + 79*b283*b381 + 11*
     b283*b382 + 12*b283*b383 + 31*b283*b384 + 34*b283*b387 + 18*b283*b390 + 21
     *b283*b393 + 34*b283*b395 + 25*b283*b398 + 21*b283*b399 + 14*b283*b401 + 3
     *b283*b410 + 61*b283*b412 + 100*b283*b415 + 25*b283*b417 + 7*b283*b418 + 
     14*b283*b419 + 11*b283*b424 + 21*b283*b425 + 8*b283*b426 + 8*b283*b427 + 
     47*b283*b428 + 14*b283*b429 + 4*b283*b431 + 10*b283*b435 + 15*b283*b437 + 
     169*b283*b442 + 11*b283*b445 + 55*b283*b446 + 9*b283*b448 + 12*b283*b449
      + 3*b283*b451 + 13*b283*b453 + 25*b283*b454 + 35*b283*b455 + 36*b283*b457
      + 75*b283*b465 + 64*b283*b467 + 23*b283*b469 + b283*b470 + 54*b283*b471
      + 13*b283*b472 + 22*b283*b474 + 20*b283*b477 + 26*b283*b478 + 5*b283*b484
      + 16*b283*b486 + 17*b283*b489 + 2*b283*b490 + 66*b283*b491 + 82*b283*b493
      + 21*b283*b495 + 34*b283*b497 + 30*b283*b498 + 13*b283*b500 + 22*b283*
     b505 + 14*b283*b506 + 67*b283*b507 + 37*b284*b312 + 4*b284*b316 + 8*b284*
     b318 + 6*b284*b320 + 80*b284*b324 + 15*b284*b326 + 17*b284*b327 + 15*b284*
     b329 + 47*b284*b332 + 57*b284*b334 + 39*b284*b336 + 33*b284*b337 + 10*b284
     *b338 + 21*b284*b339 + 60*b284*b341 + 2*b284*b343 + 3*b284*b346 + 48*b284*
     b348 + 6*b284*b349 + 24*b284*b350 + b284*b356 + 41*b284*b358 + 19*b284*
     b361 + 36*b284*b362 + 6*b284*b363 + 18*b284*b365 + 6*b284*b366 + 29*b284*
     b368 + 13*b284*b369 + b284*b372 + 17*b284*b375 + b284*b380 + 21*b284*b382
      + 71*b284*b383 + 21*b284*b384 + 33*b284*b388 + 10*b284*b391 + 12*b284*
     b392 + 4*b284*b394 + 39*b284*b398 + 64*b284*b400 + b284*b401 + b284*b402
      + 15*b284*b405 + 26*b284*b406 + 9*b284*b407 + 15*b284*b409 + 46*b284*b411
      + 85*b284*b414 + 20*b284*b415 + 43*b284*b418 + 30*b284*b421 + 11*b284*
     b422 + 34*b284*b425 + 7*b284*b426 + 32*b284*b427 + 10*b284*b428 + 6*b284*
     b430 + 9*b284*b431 + 57*b284*b433 + 11*b284*b434 + 42*b284*b436 + 31*b284*
     b438 + 25*b284*b440 + 24*b284*b441 + 35*b284*b444 + 8*b284*b445 + 12*b284*
     b446 + 14*b284*b447 + 16*b284*b448 + 41*b284*b449 + 75*b284*b450 + 38*b284
     *b451 + 108*b284*b452 + 34*b284*b454 + 171*b284*b456 + 23*b284*b457 + 4*
     b284*b458 + 6*b284*b461 + 13*b284*b462 + 21*b284*b463 + 95*b284*b469 + 16*
     b284*b471 + 3*b284*b472 + 23*b284*b474 + 4*b284*b482 + 19*b284*b483 + 17*
     b284*b484 + 22*b284*b485 + 9*b284*b486 + 8*b284*b488 + 19*b284*b489 + 5*
     b284*b494 + 17*b284*b496 + 2*b284*b498 + 14*b284*b499 + 27*b284*b501 + 
     b284*b504 + 78*b284*b506 + 2*b285*b314 + 60*b285*b315 + 22*b285*b316 + 143
     *b285*b317 + 63*b285*b319 + 53*b285*b320 + 8*b285*b321 + 20*b285*b323 + 18
     *b285*b324 + 38*b285*b325 + 8*b285*b326 + 39*b285*b327 + 28*b285*b329 + 19
     *b285*b330 + 68*b285*b331 + 46*b285*b336 + 36*b285*b338 + 50*b285*b339 + 6
     *b285*b341 + 48*b285*b342 + 17*b285*b343 + 7*b285*b347 + 22*b285*b357 + 16
     *b285*b361 + 48*b285*b364 + 35*b285*b365 + 35*b285*b368 + 9*b285*b376 + 4*
     b285*b377 + 12*b285*b378 + 3*b285*b379 + 31*b285*b382 + 8*b285*b383 + 24*
     b285*b384 + 176*b285*b385 + 129*b285*b388 + 31*b285*b390 + 45*b285*b391 + 
     20*b285*b392 + 34*b285*b402 + 43*b285*b403 + 10*b285*b406 + 46*b285*b407
      + 7*b285*b408 + 14*b285*b411 + 6*b285*b412 + 20*b285*b415 + 12*b285*b420
      + 14*b285*b422 + 16*b285*b424 + 18*b285*b426 + 40*b285*b427 + 22*b285*
     b429 + 6*b285*b430 + 102*b285*b431 + 52*b285*b433 + 33*b285*b434 + 17*b285
     *b435 + 66*b285*b436 + 41*b285*b437 + 62*b285*b439 + 33*b285*b440 + 126*
     b285*b444 + 16*b285*b447 + 58*b285*b448 + 7*b285*b449 + 17*b285*b450 + 
     b285*b451 + 11*b285*b452 + 62*b285*b457 + 15*b285*b461 + 12*b285*b463 + 82
     *b285*b464 + 10*b285*b468 + 30*b285*b473 + 19*b285*b475 + 107*b285*b477 + 
     12*b285*b478 + 3*b285*b479 + 64*b285*b480 + 35*b285*b482 + 19*b285*b484 + 
     33*b285*b485 + 20*b285*b487 + 39*b285*b488 + 38*b285*b489 + 98*b285*b490
      + 18*b285*b491 + 2*b285*b494 + 29*b285*b496 + 15*b285*b497 + 22*b285*b501
      + 5*b285*b505 + 122*b285*b506 + 19*b286*b314 + 20*b286*b319 + 114*b286*
     b321 + b286*b322 + 32*b286*b323 + 47*b286*b327 + 51*b286*b328 + 29*b286*
     b329 + 3*b286*b331 + 9*b286*b336 + 47*b286*b337 + 41*b286*b339 + 5*b286*
     b341 + 41*b286*b343 + 19*b286*b346 + 71*b286*b347 + 30*b286*b348 + 6*b286*
     b349 + 40*b286*b354 + 36*b286*b362 + 6*b286*b365 + 24*b286*b366 + 32*b286*
     b369 + 19*b286*b370 + 15*b286*b375 + 12*b286*b382 + 6*b286*b392 + 8*b286*
     b393 + 22*b286*b395 + 8*b286*b396 + 4*b286*b397 + 31*b286*b398 + 41*b286*
     b399 + 53*b286*b405 + 31*b286*b406 + 12*b286*b408 + 6*b286*b410 + 5*b286*
     b411 + 10*b286*b413 + 3*b286*b415 + 59*b286*b416 + 8*b286*b420 + 20*b286*
     b422 + 31*b286*b428 + b286*b431 + 26*b286*b433 + 22*b286*b436 + 31*b286*
     b437 + 11*b286*b439 + 8*b286*b442 + 24*b286*b445 + 44*b286*b446 + 12*b286*
     b448 + 38*b286*b449 + 14*b286*b450 + 13*b286*b451 + 58*b286*b453 + 33*b286
     *b454 + 58*b286*b456 + b286*b460 + 24*b286*b462 + 21*b286*b463 + 9*b286*
     b468 + 43*b286*b469 + 11*b286*b472 + 59*b286*b473 + 44*b286*b474 + 16*b286
     *b475 + 29*b286*b476 + 31*b286*b477 + 5*b286*b479 + 17*b286*b480 + 22*b286
     *b482 + 45*b286*b486 + 41*b286*b488 + 65*b286*b489 + 66*b286*b491 + 28*
     b286*b494 + 77*b286*b495 + 157*b286*b497 + 11*b286*b499 + 44*b286*b501 + 
     10*b286*b502 + 35*b286*b503 + 21*b286*b506 + 29*b286*b507 + 6*b286*b508 + 
     8*b286*b510 + 10*b287*b312 + 28*b287*b314 + 111*b287*b315 + 9*b287*b318 + 
     162*b287*b319 + 29*b287*b324 + 12*b287*b329 + 22*b287*b331 + 75*b287*b338
      + 11*b287*b353 + 10*b287*b355 + 16*b287*b357 + 26*b287*b365 + 2*b287*b366
      + 28*b287*b367 + 8*b287*b379 + 22*b287*b381 + 11*b287*b382 + 6*b287*b384
      + 13*b287*b385 + 37*b287*b388 + 13*b287*b390 + 23*b287*b392 + 113*b287*
     b395 + 7*b287*b397 + 12*b287*b400 + 108*b287*b403 + 32*b287*b406 + 122*
     b287*b411 + 20*b287*b416 + 48*b287*b417 + 64*b287*b422 + 15*b287*b424 + 6*
     b287*b425 + 10*b287*b426 + 23*b287*b427 + 3*b287*b429 + 26*b287*b432 + 14*
     b287*b433 + 25*b287*b436 + 12*b287*b438 + 175*b287*b439 + 10*b287*b441 + 
     101*b287*b444 + 16*b287*b447 + 6*b287*b452 + 2*b287*b453 + 38*b287*b454 + 
     14*b287*b456 + 47*b287*b461 + 4*b287*b463 + 128*b287*b470 + 9*b287*b471 + 
     8*b287*b472 + 3*b287*b477 + 8*b287*b479 + 7*b287*b481 + 55*b287*b485 + 11*
     b287*b486 + 19*b287*b487 + 10*b287*b488 + 27*b287*b491 + 17*b287*b492 + 34
     *b287*b493 + 13*b287*b495 + 194*b287*b496 + 17*b287*b499 + 8*b287*b502 + 
     33*b287*b503 + 69*b287*b506 + 2*b288*b312 + 26*b288*b313 + 83*b288*b314 + 
     27*b288*b317 + 33*b288*b318 + 21*b288*b320 + 40*b288*b321 + 28*b288*b327
      + 46*b288*b331 + 72*b288*b332 + 29*b288*b339 + 20*b288*b341 + 21*b288*
     b348 + 57*b288*b349 + 16*b288*b351 + 20*b288*b353 + 21*b288*b354 + 12*b288
     *b355 + 14*b288*b357 + 30*b288*b358 + 36*b288*b360 + 13*b288*b362 + 22*
     b288*b363 + 5*b288*b364 + 6*b288*b366 + 17*b288*b368 + 31*b288*b369 + 39*
     b288*b374 + 71*b288*b377 + b288*b380 + 34*b288*b381 + b288*b385 + 11*b288*
     b386 + 28*b288*b387 + 140*b288*b394 + 24*b288*b400 + b288*b401 + 83*b288*
     b402 + 24*b288*b403 + 14*b288*b404 + 38*b288*b406 + 63*b288*b408 + 14*b288
     *b411 + 43*b288*b412 + 22*b288*b416 + 68*b288*b417 + 6*b288*b418 + 17*b288
     *b425 + 2*b288*b426 + 23*b288*b427 + 45*b288*b428 + 108*b288*b430 + 28*
     b288*b432 + 32*b288*b437 + 11*b288*b438 + 31*b288*b442 + 14*b288*b443 + 79
     *b288*b445 + 55*b288*b446 + 20*b288*b449 + 22*b288*b450 + 11*b288*b451 + 
     25*b288*b452 + 30*b288*b453 + 5*b288*b455 + 4*b288*b456 + 97*b288*b457 + 
     81*b288*b463 + 39*b288*b464 + 48*b288*b467 + 4*b288*b468 + 32*b288*b470 + 
     54*b288*b471 + 4*b288*b472 + b288*b473 + 37*b288*b474 + 25*b288*b475 + 4*
     b288*b477 + 18*b288*b478 + 53*b288*b484 + 4*b288*b485 + b288*b486 + 50*
     b288*b491 + 10*b288*b492 + 12*b288*b494 + 16*b288*b496 + 58*b288*b497 + 
     112*b288*b501 + b288*b503 + 63*b288*b505 + 10*b288*b507 + 26*b289*b311 + 2
     *b289*b313 + 53*b289*b315 + 139*b289*b317 + 98*b289*b318 + 17*b289*b319 + 
     8*b289*b321 + 48*b289*b326 + 28*b289*b327 + 13*b289*b328 + 42*b289*b335 + 
     3*b289*b337 + 76*b289*b338 + 35*b289*b340 + 16*b289*b341 + 53*b289*b342 + 
     38*b289*b346 + 7*b289*b347 + 33*b289*b348 + 61*b289*b349 + 5*b289*b352 + 
     23*b289*b353 + 11*b289*b354 + 14*b289*b355 + 54*b289*b357 + 31*b289*b361
      + 4*b289*b363 + 5*b289*b364 + 37*b289*b365 + 2*b289*b366 + 32*b289*b367
      + 32*b289*b368 + 20*b289*b369 + 31*b289*b371 + 76*b289*b375 + 41*b289*
     b376 + 23*b289*b378 + 10*b289*b379 + 66*b289*b380 + 77*b289*b381 + 64*b289
     *b382 + 37*b289*b383 + 6*b289*b384 + 79*b289*b385 + 87*b289*b386 + 16*b289
     *b387 + 14*b289*b390 + 16*b289*b391 + 43*b289*b392 + 50*b289*b400 + 12*
     b289*b401 + 43*b289*b402 + 4*b289*b404 + 10*b289*b408 + 22*b289*b413 + 35*
     b289*b414 + 48*b289*b416 + 18*b289*b417 + 77*b289*b418 + 76*b289*b419 + 20
     *b289*b427 + 79*b289*b428 + b289*b429 + 13*b289*b430 + 11*b289*b432 + 39*
     b289*b433 + 46*b289*b436 + 21*b289*b438 + 61*b289*b441 + 4*b289*b443 + 11*
     b289*b445 + 93*b289*b446 + 5*b289*b449 + 43*b289*b450 + 4*b289*b452 + 32*
     b289*b453 + 35*b289*b455 + 15*b289*b460 + 85*b289*b461 + 11*b289*b470 + 2*
     b289*b474 + 122*b289*b480 + 7*b289*b481 + 50*b289*b482 + 6*b289*b483 + 24*
     b289*b484 + 84*b289*b485 + 9*b289*b486 + 25*b289*b487 + 36*b289*b491 + 59*
     b289*b492 + 120*b289*b493 + 5*b289*b497 + 8*b289*b498 + 3*b289*b500 + 67*
     b289*b502 + 8*b289*b506 + 14*b289*b508 + 17*b290*b311 + 25*b290*b312 + 30*
     b290*b313 + 2*b290*b314 + 95*b290*b315 + 58*b290*b318 + 32*b290*b319 + 58*
     b290*b326 + b290*b327 + 7*b290*b329 + 21*b290*b332 + 10*b290*b336 + 45*
     b290*b337 + 15*b290*b338 + 2*b290*b341 + 38*b290*b342 + 41*b290*b344 + 16*
     b290*b347 + 17*b290*b348 + 49*b290*b349 + 40*b290*b353 + 45*b290*b356 + 42
     *b290*b357 + 47*b290*b358 + 39*b290*b362 + 6*b290*b363 + 59*b290*b365 + 58
     *b290*b367 + 41*b290*b368 + 36*b290*b372 + 16*b290*b373 + 21*b290*b377 + 
     24*b290*b379 + 12*b290*b382 + 37*b290*b384 + 40*b290*b387 + 80*b290*b389
      + 24*b290*b393 + 20*b290*b397 + 37*b290*b398 + 31*b290*b399 + 8*b290*b401
      + 9*b290*b402 + 18*b290*b404 + 21*b290*b405 + 16*b290*b406 + 12*b290*b409
      + 167*b290*b411 + 5*b290*b414 + b290*b415 + 79*b290*b417 + 33*b290*b418
      + 35*b290*b422 + 15*b290*b423 + 9*b290*b425 + 12*b290*b430 + 23*b290*b432
      + 4*b290*b433 + 20*b290*b434 + 28*b290*b437 + 6*b290*b438 + 62*b290*b439
      + 45*b290*b440 + b290*b444 + 19*b290*b447 + 30*b290*b448 + 43*b290*b449
      + 47*b290*b451 + 80*b290*b452 + 58*b290*b454 + 25*b290*b456 + 38*b290*
     b457 + 21*b290*b458 + 14*b290*b464 + 5*b290*b468 + 11*b290*b470 + 104*b290
     *b471 + 31*b290*b473 + 32*b290*b475 + 126*b290*b477 + 21*b290*b479 + 90*
     b290*b483 + 13*b290*b484 + 68*b290*b485 + 22*b290*b486 + 15*b290*b488 + 4*
     b290*b491 + 17*b290*b494 + 41*b290*b496 + 15*b290*b497 + 6*b290*b498 + 17*
     b290*b501 + 73*b290*b503 + 43*b290*b506 + 22*b290*b507 + 21*b290*b509 + 2*
     b290*b510 + 17*b291*b311 + b291*b312 + 45*b291*b313 + 16*b291*b314 + 40*
     b291*b316 + 28*b291*b317 + 23*b291*b318 + 55*b291*b319 + 67*b291*b325 + 20
     *b291*b326 + 12*b291*b327 + 63*b291*b330 + 16*b291*b332 + 20*b291*b333 + 7
     *b291*b334 + 35*b291*b336 + 20*b291*b337 + 25*b291*b339 + 9*b291*b340 + 33
     *b291*b342 + 8*b291*b343 + 20*b291*b344 + 8*b291*b345 + 3*b291*b348 + 24*
     b291*b349 + 3*b291*b350 + 2*b291*b351 + 24*b291*b354 + 20*b291*b357 + b291
     *b358 + 3*b291*b359 + 4*b291*b361 + 13*b291*b363 + 5*b291*b365 + 8*b291*
     b366 + 15*b291*b367 + 24*b291*b368 + 35*b291*b369 + 35*b291*b372 + 15*b291
     *b373 + 70*b291*b375 + 51*b291*b376 + 42*b291*b384 + 5*b291*b385 + 14*b291
     *b386 + 16*b291*b387 + 24*b291*b389 + 4*b291*b390 + 4*b291*b393 + 11*b291*
     b394 + 11*b291*b397 + 22*b291*b398 + 13*b291*b401 + 41*b291*b402 + 30*b291
     *b403 + 13*b291*b405 + 25*b291*b406 + 2*b291*b407 + 25*b291*b411 + 76*b291
     *b412 + 175*b291*b414 + 46*b291*b415 + 27*b291*b416 + 73*b291*b417 + b291*
     b420 + 22*b291*b421 + 21*b291*b423 + 4*b291*b424 + 8*b291*b426 + 31*b291*
     b427 + 33*b291*b428 + 22*b291*b432 + 8*b291*b435 + 67*b291*b437 + 25*b291*
     b438 + 21*b291*b440 + 7*b291*b441 + 18*b291*b448 + 31*b291*b449 + 68*b291*
     b454 + 40*b291*b456 + 15*b291*b458 + 49*b291*b465 + 35*b291*b466 + 17*b291
     *b467 + b291*b468 + 2*b291*b470 + 2*b291*b471 + 34*b291*b475 + 8*b291*b476
      + 41*b291*b477 + 31*b291*b481 + 11*b291*b482 + 35*b291*b483 + 4*b291*b484
      + 40*b291*b485 + 5*b291*b486 + 23*b291*b487 + 10*b291*b495 + 14*b291*b501
      + 37*b291*b507 + 97*b291*b508 + 140*b292*b311 + 30*b292*b312 + 20*b292*
     b313 + 72*b292*b319 + 21*b292*b320 + 126*b292*b321 + 37*b292*b326 + 5*b292
     *b330 + 12*b292*b334 + 213*b292*b335 + 42*b292*b336 + 28*b292*b337 + b292*
     b339 + 4*b292*b341 + 135*b292*b344 + 5*b292*b345 + 12*b292*b346 + 21*b292*
     b362 + 6*b292*b363 + 5*b292*b371 + 68*b292*b372 + 26*b292*b379 + 24*b292*
     b381 + 20*b292*b383 + 8*b292*b385 + 7*b292*b388 + b292*b389 + 61*b292*b391
      + 11*b292*b392 + 6*b292*b395 + 8*b292*b403 + 25*b292*b404 + 81*b292*b409
      + 34*b292*b410 + 23*b292*b411 + 7*b292*b421 + 59*b292*b422 + 8*b292*b423
      + 6*b292*b425 + 55*b292*b426 + 27*b292*b429 + 3*b292*b431 + 173*b292*b435
      + 27*b292*b440 + 30*b292*b441 + 37*b292*b444 + 25*b292*b452 + 24*b292*
     b453 + 9*b292*b455 + 17*b292*b456 + 2*b292*b457 + 73*b292*b467 + 8*b292*
     b469 + 18*b292*b470 + 17*b292*b473 + 24*b292*b475 + 5*b292*b477 + b292*
     b478 + b292*b480 + 37*b292*b486 + 3*b292*b490 + 14*b292*b494 + 50*b292*
     b496 + 18*b292*b497 + 4*b292*b498 + 23*b292*b500 + 16*b292*b501 + 4*b292*
     b506 + 18*b292*b508 + 82*b293*b312 + 2*b293*b314 + 15*b293*b315 + 12*b293*
     b316 + 31*b293*b323 + 92*b293*b327 + 28*b293*b328 + 11*b293*b332 + 85*b293
     *b335 + 8*b293*b340 + 127*b293*b341 + 18*b293*b345 + 15*b293*b346 + 3*b293
     *b347 + 39*b293*b348 + 23*b293*b353 + 23*b293*b357 + 5*b293*b359 + 3*b293*
     b364 + 15*b293*b365 + 8*b293*b366 + 45*b293*b369 + 12*b293*b371 + 22*b293*
     b377 + 29*b293*b378 + 52*b293*b379 + 5*b293*b381 + 89*b293*b387 + 37*b293*
     b388 + 8*b293*b390 + 20*b293*b391 + 2*b293*b392 + 5*b293*b394 + 10*b293*
     b395 + 5*b293*b397 + 68*b293*b400 + 58*b293*b402 + 192*b293*b404 + 26*b293
     *b405 + 63*b293*b406 + 36*b293*b409 + 5*b293*b410 + 20*b293*b414 + 23*b293
     *b418 + 71*b293*b422 + 3*b293*b424 + 133*b293*b427 + 25*b293*b431 + 12*
     b293*b433 + 155*b293*b437 + 12*b293*b439 + 53*b293*b443 + 11*b293*b447 + 
     117*b293*b448 + 121*b293*b451 + 17*b293*b454 + 6*b293*b457 + 10*b293*b459
      + 12*b293*b463 + 6*b293*b465 + 11*b293*b471 + 12*b293*b480 + 14*b293*b481
      + 6*b293*b484 + 8*b293*b485 + 78*b293*b488 + 13*b293*b492 + 3*b293*b493
      + 10*b293*b496 + 22*b293*b498 + 76*b293*b500 + 5*b293*b502 + 17*b293*b505
      + 43*b293*b506 + 8*b293*b508 + 2*b294*b311 + 7*b294*b320 + 13*b294*b322
      + 21*b294*b323 + 2*b294*b324 + 8*b294*b328 + 17*b294*b333 + 33*b294*b343
      + 9*b294*b345 + 7*b294*b347 + b294*b348 + 52*b294*b353 + b294*b355 + 15*
     b294*b361 + 6*b294*b367 + 3*b294*b369 + 46*b294*b372 + 17*b294*b374 + 36*
     b294*b378 + 2*b294*b379 + 39*b294*b381 + 46*b294*b389 + 61*b294*b390 + 23*
     b294*b391 + 3*b294*b392 + 34*b294*b395 + 9*b294*b398 + 45*b294*b401 + 74*
     b294*b403 + 11*b294*b406 + 3*b294*b407 + 8*b294*b409 + 37*b294*b414 + 11*
     b294*b416 + 11*b294*b417 + 86*b294*b422 + 4*b294*b426 + 6*b294*b431 + 7*
     b294*b432 + 20*b294*b435 + 32*b294*b439 + 16*b294*b441 + 13*b294*b453 + 39
     *b294*b460 + 20*b294*b461 + 29*b294*b470 + 22*b294*b474 + 16*b294*b476 + 8
     *b294*b478 + 57*b294*b482 + 10*b294*b484 + 15*b294*b485 + 19*b294*b487 + 
     11*b294*b489 + 8*b294*b492 + 37*b294*b493 + 34*b294*b496 + 37*b294*b499 + 
     5*b294*b500 + 21*b294*b501 + 4*b294*b505 + 5*b294*b506 + 56*b294*b508 + 73
     *b295*b314 + 34*b295*b315 + 30*b295*b316 + 11*b295*b322 + 8*b295*b323 + 3*
     b295*b325 + 35*b295*b332 + 47*b295*b333 + 19*b295*b334 + 23*b295*b335 + 39
     *b295*b336 + 16*b295*b337 + 25*b295*b338 + 11*b295*b342 + b295*b343 + 22*
     b295*b344 + 92*b295*b345 + 11*b295*b348 + 65*b295*b349 + 41*b295*b351 + 14
     *b295*b352 + 10*b295*b355 + 55*b295*b357 + 2*b295*b358 + 4*b295*b366 + 32*
     b295*b367 + 11*b295*b369 + 22*b295*b371 + 22*b295*b372 + 29*b295*b374 + 
     115*b295*b375 + 21*b295*b379 + 83*b295*b384 + 2*b295*b386 + 8*b295*b387 + 
     3*b295*b390 + 22*b295*b395 + 14*b295*b396 + 33*b295*b397 + 107*b295*b398
      + 8*b295*b399 + 16*b295*b401 + 5*b295*b402 + 19*b295*b408 + 5*b295*b409
      + 60*b295*b410 + 44*b295*b415 + 28*b295*b417 + 8*b295*b419 + 53*b295*b421
      + 4*b295*b424 + 73*b295*b425 + 6*b295*b431 + 37*b295*b432 + 29*b295*b435
      + 13*b295*b437 + 2*b295*b441 + 68*b295*b442 + 14*b295*b443 + 13*b295*b444
      + 32*b295*b448 + 8*b295*b449 + 15*b295*b450 + 12*b295*b451 + 17*b295*b453
      + 20*b295*b454 + 30*b295*b455 + 27*b295*b456 + 88*b295*b460 + 79*b295*
     b465 + 15*b295*b466 + 9*b295*b468 + 2*b295*b469 + 5*b295*b476 + 45*b295*
     b477 + 6*b295*b478 + 16*b295*b480 + 9*b295*b486 + 3*b295*b487 + 18*b295*
     b490 + b295*b492 + 35*b295*b494 + 7*b295*b497 + 28*b295*b498 + 7*b295*b500
      + 65*b295*b502 + 14*b295*b503 + 21*b295*b504 + 19*b295*b506 + 109*b295*
     b507 + 14*b296*b312 + 22*b296*b313 + 7*b296*b315 + 12*b296*b317 + 26*b296*
     b320 + 11*b296*b324 + 2*b296*b325 + 72*b296*b328 + 95*b296*b332 + 20*b296*
     b334 + 18*b296*b335 + 20*b296*b337 + 27*b296*b338 + 14*b296*b341 + 47*b296
     *b342 + 2*b296*b346 + 11*b296*b351 + 31*b296*b352 + 9*b296*b354 + 2*b296*
     b356 + 19*b296*b357 + 97*b296*b360 + 3*b296*b361 + 7*b296*b363 + 10*b296*
     b364 + 59*b296*b366 + 43*b296*b367 + 18*b296*b368 + 37*b296*b369 + 23*b296
     *b370 + 22*b296*b371 + 14*b296*b372 + 63*b296*b375 + 26*b296*b379 + 4*b296
     *b380 + 14*b296*b382 + 7*b296*b384 + 9*b296*b385 + 33*b296*b388 + 7*b296*
     b395 + 37*b296*b398 + 13*b296*b402 + 20*b296*b403 + 20*b296*b404 + 31*b296
     *b407 + 24*b296*b408 + 30*b296*b409 + 43*b296*b410 + 31*b296*b411 + 19*
     b296*b413 + 116*b296*b415 + 43*b296*b416 + 31*b296*b417 + 5*b296*b418 + 12
     *b296*b419 + 43*b296*b421 + 139*b296*b425 + 5*b296*b426 + 3*b296*b428 + 95
     *b296*b430 + b296*b431 + 18*b296*b436 + 50*b296*b437 + 17*b296*b438 + 18*
     b296*b439 + 120*b296*b442 + 20*b296*b445 + 61*b296*b446 + 8*b296*b449 + 6*
     b296*b450 + 29*b296*b451 + 18*b296*b452 + 19*b296*b453 + 18*b296*b455 + 15
     *b296*b456 + 88*b296*b457 + 7*b296*b458 + 67*b296*b463 + 29*b296*b466 + 25
     *b296*b467 + 11*b296*b469 + 6*b296*b471 + 33*b296*b475 + 24*b296*b477 + 47
     *b296*b478 + 9*b296*b480 + b296*b481 + b296*b484 + 42*b296*b485 + 19*b296*
     b486 + 10*b296*b489 + 4*b296*b490 + 22*b296*b495 + 27*b296*b498 + 56*b296*
     b501 + 34*b296*b502 + 7*b296*b505 + 22*b296*b506 + 164*b296*b507 + 4*b297*
     b316 + 4*b297*b318 + 7*b297*b320 + 5*b297*b322 + 13*b297*b323 + 11*b297*
     b324 + 7*b297*b326 + 47*b297*b328 + 4*b297*b330 + 33*b297*b331 + 26*b297*
     b333 + 35*b297*b334 + b297*b335 + 43*b297*b341 + 22*b297*b345 + 31*b297*
     b346 + 7*b297*b349 + 35*b297*b353 + 28*b297*b355 + 64*b297*b362 + 59*b297*
     b371 + 3*b297*b377 + 49*b297*b378 + 51*b297*b379 + 17*b297*b381 + b297*
     b382 + 33*b297*b383 + 8*b297*b388 + 16*b297*b389 + 15*b297*b390 + 41*b297*
     b391 + 5*b297*b392 + 90*b297*b393 + 4*b297*b397 + 16*b297*b398 + 32*b297*
     b400 + 12*b297*b402 + 38*b297*b403 + b297*b404 + 17*b297*b406 + 28*b297*
     b408 + b297*b409 + 40*b297*b412 + 24*b297*b413 + 40*b297*b417 + 79*b297*
     b422 + 13*b297*b425 + 16*b297*b426 + 33*b297*b432 + 6*b297*b434 + 55*b297*
     b435 + 34*b297*b439 + 17*b297*b440 + 20*b297*b441 + 12*b297*b443 + 8*b297*
     b444 + 11*b297*b446 + 7*b297*b450 + 2*b297*b452 + 9*b297*b458 + 42*b297*
     b460 + 18*b297*b461 + 5*b297*b466 + 4*b297*b470 + 23*b297*b473 + 15*b297*
     b474 + 7*b297*b475 + 62*b297*b476 + 24*b297*b477 + 45*b297*b482 + 30*b297*
     b483 + 72*b297*b488 + 31*b297*b489 + 8*b297*b490 + 29*b297*b492 + 37*b297*
     b493 + 14*b297*b496 + 27*b297*b499 + 7*b297*b500 + 9*b297*b502 + 19*b297*
     b507 + 15*b298*b311 + 55*b298*b313 + 10*b298*b314 + 3*b298*b316 + 22*b298*
     b317 + 11*b298*b319 + 19*b298*b320 + 27*b298*b321 + 11*b298*b323 + 11*b298
     *b325 + 38*b298*b326 + 6*b298*b327 + 13*b298*b330 + 10*b298*b331 + 201*
     b298*b334 + 17*b298*b336 + 20*b298*b337 + 11*b298*b339 + 57*b298*b344 + 6*
     b298*b347 + 21*b298*b348 + 14*b298*b354 + 55*b298*b355 + 53*b298*b357 + 8*
     b298*b358 + 19*b298*b360 + 55*b298*b361 + 45*b298*b363 + 55*b298*b365 + 7*
     b298*b366 + 153*b298*b368 + 86*b298*b369 + 4*b298*b370 + 20*b298*b372 + 5*
     b298*b373 + 46*b298*b375 + 31*b298*b381 + 29*b298*b384 + b298*b385 + 22*
     b298*b387 + 5*b298*b389 + 32*b298*b390 + 4*b298*b392 + 26*b298*b393 + 20*
     b298*b394 + 5*b298*b396 + 28*b298*b397 + 57*b298*b398 + 13*b298*b399 + 11*
     b298*b402 + 4*b298*b403 + 14*b298*b405 + 2*b298*b407 + 24*b298*b411 + 39*
     b298*b412 + 27*b298*b413 + 71*b298*b414 + 32*b298*b415 + 39*b298*b417 + 32
     *b298*b418 + 17*b298*b419 + 23*b298*b421 + 23*b298*b423 + 12*b298*b424 + 
     31*b298*b425 + 13*b298*b426 + 47*b298*b428 + 25*b298*b432 + 25*b298*b437
      + 20*b298*b439 + 17*b298*b440 + 29*b298*b441 + 24*b298*b446 + 8*b298*b447
      + 38*b298*b454 + 16*b298*b458 + 4*b298*b461 + 15*b298*b466 + 42*b298*b467
      + b298*b468 + 74*b298*b469 + 17*b298*b473 + 80*b298*b477 + 31*b298*b481
      + 43*b298*b483 + 9*b298*b484 + 32*b298*b485 + 15*b298*b489 + 5*b298*b492
      + 27*b298*b493 + 3*b298*b495 + 13*b298*b499 + 63*b298*b506 + 45*b298*b507
      + 37*b299*b318 + 6*b299*b323 + 15*b299*b325 + 11*b299*b330 + 10*b299*b331
      + 12*b299*b335 + 20*b299*b338 + 34*b299*b339 + 66*b299*b343 + 8*b299*b346
      + 14*b299*b347 + 27*b299*b353 + 22*b299*b355 + 19*b299*b360 + 7*b299*b363
      + 149*b299*b364 + 5*b299*b367 + 51*b299*b373 + 22*b299*b376 + 16*b299*
     b377 + 51*b299*b378 + 11*b299*b379 + 9*b299*b380 + 23*b299*b382 + 14*b299*
     b383 + 19*b299*b387 + 16*b299*b389 + 13*b299*b391 + 12*b299*b392 + 23*b299
     *b395 + 150*b299*b399 + 28*b299*b401 + 6*b299*b404 + 76*b299*b405 + 47*
     b299*b406 + 42*b299*b409 + 8*b299*b410 + 10*b299*b412 + 27*b299*b414 + 15*
     b299*b415 + 27*b299*b416 + 10*b299*b417 + 35*b299*b422 + 79*b299*b423 + 36
     *b299*b426 + 3*b299*b427 + 10*b299*b434 + 9*b299*b435 + 2*b299*b440 + 29*
     b299*b442 + 41*b299*b444 + 27*b299*b446 + 8*b299*b448 + 55*b299*b452 + 27*
     b299*b453 + 15*b299*b458 + 46*b299*b459 + 17*b299*b463 + 15*b299*b465 + 37
     *b299*b466 + 8*b299*b469 + 17*b299*b473 + 29*b299*b474 + 45*b299*b478 + 48
     *b299*b479 + 23*b299*b480 + 33*b299*b481 + 38*b299*b485 + 18*b299*b486 + 
     45*b299*b489 + 58*b299*b496 + 97*b299*b498 + 14*b299*b499 + 8*b299*b501 + 
     38*b299*b502 + 8*b299*b504 + 21*b299*b505 + b299*b506 + 15*b299*b507 + 3*
     b299*b508 + 76*b300*b311 + 41*b300*b312 + 122*b300*b313 + 31*b300*b315 + 
     142*b300*b316 + 73*b300*b317 + 35*b300*b319 + 113*b300*b321 + 62*b300*b322
      + 80*b300*b323 + 59*b300*b324 + 62*b300*b326 + 99*b300*b332 + 117*b300*
     b336 + 232*b300*b337 + 130*b300*b339 + 79*b300*b342 + 154*b300*b344 + 150*
     b300*b345 + 127*b300*b346 + 191*b300*b348 + 9*b300*b349 + 5*b300*b350 + 3*
     b300*b351 + 14*b300*b352 + 37*b300*b354 + 28*b300*b356 + 187*b300*b357 + 
     67*b300*b358 + 4*b300*b359 + 128*b300*b361 + 21*b300*b363 + 116*b300*b365
      + 49*b300*b366 + 193*b300*b368 + 181*b300*b369 + b300*b370 + 40*b300*b371
      + 16*b300*b373 + 2*b300*b374 + 239*b300*b375 + 3*b300*b376 + 34*b300*b378
      + 27*b300*b380 + 33*b300*b381 + 280*b300*b384 + 44*b300*b385 + 42*b300*
     b388 + 60*b300*b389 + 128*b300*b391 + 21*b300*b393 + 19*b300*b394 + 2*b300
     *b396 + 63*b300*b401 + 264*b300*b402 + 123*b300*b403 + 13*b300*b405 + 17*
     b300*b411 + 38*b300*b412 + 3*b300*b413 + 4*b300*b414 + 86*b300*b417 + 195*
     b300*b418 + 220*b300*b419 + 7*b300*b420 + 241*b300*b422 + 15*b300*b424 + 
     210*b300*b425 + 167*b300*b427 + 128*b300*b428 + 9*b300*b434 + 176*b300*
     b436 + 151*b300*b437 + 75*b300*b442 + 6*b300*b443 + 172*b300*b446 + 7*b300
     *b447 + 133*b300*b449 + 219*b300*b451 + 38*b300*b452 + 11*b300*b453 + 14*
     b300*b457 + 29*b300*b458 + 8*b300*b459 + 75*b300*b460 + 125*b300*b461 + 2*
     b300*b462 + 12*b300*b464 + 14*b300*b469 + 62*b300*b470 + 21*b300*b471 + 60
     *b300*b472 + 72*b300*b474 + 84*b300*b477 + 7*b300*b481 + 130*b300*b482 + 
     15*b300*b483 + 52*b300*b484 + 73*b300*b488 + 4*b300*b490 + 37*b300*b493 + 
     23*b300*b494 + 134*b300*b497 + 169*b300*b498 + 9*b300*b501 + 6*b300*b504
      + 114*b300*b506 + 7*b300*b509 + 12*b300*b510 + 272*b301*b311 + 26*b301*
     b312 + 204*b301*b313 + 34*b301*b316 + 250*b301*b318 + 199*b301*b323 + 103*
     b301*b325 + 112*b301*b332 + 2*b301*b340 + 378*b301*b344 + 8*b301*b346 + 8*
     b301*b347 + 11*b301*b350 + 258*b301*b353 + 77*b301*b354 + 376*b301*b355 + 
     31*b301*b357 + 37*b301*b358 + 5*b301*b359 + 211*b301*b360 + 55*b301*b361
      + 37*b301*b364 + 183*b301*b366 + 79*b301*b368 + 113*b301*b369 + 142*b301*
     b372 + 113*b301*b373 + 143*b301*b374 + 57*b301*b376 + 146*b301*b377 + 164*
     b301*b379 + 100*b301*b381 + 125*b301*b386 + 280*b301*b387 + 139*b301*b389
      + 29*b301*b390 + 274*b301*b394 + 26*b301*b397 + 144*b301*b400 + 90*b301*
     b402 + 46*b301*b403 + 304*b301*b404 + 141*b301*b407 + 332*b301*b408 + 20*
     b301*b409 + 39*b301*b410 + 39*b301*b412 + 48*b301*b414 + 195*b301*b415 + 
     78*b301*b416 + 57*b301*b421 + 180*b301*b422 + 226*b301*b423 + 211*b301*
     b426 + 48*b301*b428 + 22*b301*b430 + 134*b301*b431 + 16*b301*b432 + 9*b301
     *b434 + 26*b301*b435 + 241*b301*b437 + 13*b301*b438 + 367*b301*b443 + 59*
     b301*b445 + 3*b301*b447 + 206*b301*b448 + 6*b301*b449 + 100*b301*b455 + 46
     *b301*b458 + 148*b301*b460 + 4*b301*b468 + 32*b301*b470 + 56*b301*b477 + 
     343*b301*b478 + 211*b301*b481 + 45*b301*b483 + 96*b301*b485 + 93*b301*b486
      + 6*b301*b490 + 88*b301*b491 + 77*b301*b492 + 18*b301*b495 + 19*b301*b497
      + 18*b301*b500 + 29*b301*b502 + 8*b301*b504 + 143*b301*b505 + 152*b301*
     b507 + 331*b301*b508 + 3*b301*b509 + 238*b302*b311 + 111*b302*b314 + 183*
     b302*b315 + 162*b302*b316 + 148*b302*b317 + 91*b302*b319 + 204*b302*b321
      + 17*b302*b322 + 61*b302*b323 + 334*b302*b324 + 352*b302*b325 + 70*b302*
     b328 + 51*b302*b329 + 88*b302*b331 + 126*b302*b334 + 255*b302*b336 + 236*
     b302*b337 + 44*b302*b339 + 15*b302*b340 + 176*b302*b341 + 15*b302*b343 + 
     115*b302*b344 + 185*b302*b345 + 59*b302*b346 + 103*b302*b349 + 17*b302*
     b350 + 218*b302*b356 + 136*b302*b361 + 144*b302*b362 + 58*b302*b363 + 147*
     b302*b364 + 46*b302*b365 + 132*b302*b367 + 24*b302*b370 + 147*b302*b372 + 
     b302*b373 + 17*b302*b374 + 21*b302*b375 + 110*b302*b380 + 156*b302*b382 + 
     103*b302*b385 + 146*b302*b389 + 50*b302*b391 + 9*b302*b393 + 163*b302*b394
      + 208*b302*b395 + 93*b302*b397 + 18*b302*b399 + 199*b302*b400 + 85*b302*
     b402 + 151*b302*b408 + 177*b302*b410 + 52*b302*b414 + 40*b302*b416 + 3*
     b302*b417 + 134*b302*b420 + b302*b421 + 41*b302*b422 + 85*b302*b425 + 97*
     b302*b429 + 142*b302*b432 + 9*b302*b434 + 50*b302*b437 + 129*b302*b439 + 
     63*b302*b440 + 176*b302*b451 + 87*b302*b454 + 69*b302*b456 + 154*b302*b457
      + 19*b302*b458 + 30*b302*b459 + 50*b302*b460 + 160*b302*b464 + 20*b302*
     b468 + 26*b302*b469 + 16*b302*b474 + 175*b302*b475 + 60*b302*b476 + 74*
     b302*b477 + 70*b302*b478 + 58*b302*b479 + 94*b302*b480 + 117*b302*b483 + 
     122*b302*b484 + 14*b302*b487 + 498*b302*b488 + 2*b302*b490 + 246*b302*b491
      + 27*b302*b493 + 327*b302*b494 + 92*b302*b497 + 144*b302*b501 + 60*b302*
     b503 + 4*b302*b504 + 123*b302*b508 + 8*b302*b510 + 88*b303*b318 + 9*b303*
     b320 + 9*b303*b321 + 93*b303*b324 + 84*b303*b329 + 346*b303*b331 + 60*b303
     *b332 + 100*b303*b333 + 255*b303*b337 + 102*b303*b338 + 175*b303*b339 + 
     176*b303*b341 + 146*b303*b342 + 25*b303*b346 + 76*b303*b347 + 135*b303*
     b353 + 26*b303*b358 + 37*b303*b360 + 212*b303*b362 + 69*b303*b365 + 79*
     b303*b366 + 34*b303*b370 + 44*b303*b372 + 21*b303*b373 + 81*b303*b374 + 59
     *b303*b376 + b303*b377 + 195*b303*b378 + 28*b303*b381 + 69*b303*b383 + 123
     *b303*b384 + 173*b303*b386 + 141*b303*b390 + 40*b303*b392 + 4*b303*b393 + 
     6*b303*b396 + 40*b303*b399 + 191*b303*b400 + 275*b303*b401 + 180*b303*b402
      + 166*b303*b403 + 161*b303*b406 + 120*b303*b408 + 25*b303*b409 + 160*b303
     *b411 + 90*b303*b423 + 5*b303*b424 + 274*b303*b427 + 105*b303*b428 + 224*
     b303*b429 + 178*b303*b436 + 11*b303*b442 + 299*b303*b444 + 349*b303*b445
      + 6*b303*b447 + 147*b303*b450 + 95*b303*b451 + 302*b303*b452 + 14*b303*
     b453 + 109*b303*b455 + 25*b303*b456 + 5*b303*b459 + 176*b303*b465 + 50*
     b303*b467 + 73*b303*b471 + 158*b303*b472 + 45*b303*b476 + 93*b303*b477 + 
     37*b303*b479 + 14*b303*b483 + 30*b303*b485 + 116*b303*b487 + 66*b303*b488
      + 6*b303*b489 + 13*b303*b490 + 216*b303*b494 + 116*b303*b496 + 52*b303*
     b498 + 97*b303*b506 + 51*b303*b507 + 3*b303*b509 + 29*b304*b311 + 35*b304*
     b313 + 133*b304*b314 + 209*b304*b315 + 8*b304*b316 + 226*b304*b317 + 155*
     b304*b319 + 85*b304*b320 + 21*b304*b322 + 78*b304*b323 + 25*b304*b325 + 83
     *b304*b327 + 85*b304*b329 + 4*b304*b330 + 125*b304*b333 + 146*b304*b335 + 
     50*b304*b337 + 188*b304*b338 + b304*b340 + 25*b304*b343 + 103*b304*b344 + 
     158*b304*b345 + 124*b304*b346 + 60*b304*b347 + 90*b304*b349 + 17*b304*b351
      + 77*b304*b355 + 265*b304*b356 + 123*b304*b357 + 164*b304*b361 + 96*b304*
     b363 + 139*b304*b365 + 139*b304*b367 + 228*b304*b368 + 219*b304*b370 + 13*
     b304*b373 + 5*b304*b374 + 22*b304*b376 + b304*b379 + 113*b304*b380 + 111*
     b304*b382 + 85*b304*b384 + 233*b304*b385 + 70*b304*b387 + 118*b304*b388 + 
     117*b304*b389 + 30*b304*b391 + 23*b304*b392 + 132*b304*b394 + 279*b304*
     b395 + 69*b304*b397 + 78*b304*b398 + 183*b304*b404 + 33*b304*b406 + 101*
     b304*b411 + 332*b304*b412 + 42*b304*b414 + 25*b304*b416 + 151*b304*b417 + 
     112*b304*b418 + 102*b304*b420 + 282*b304*b422 + 62*b304*b425 + 12*b304*
     b430 + 47*b304*b432 + 313*b304*b433 + 4*b304*b434 + 17*b304*b438 + 184*
     b304*b439 + 109*b304*b440 + 295*b304*b443 + 4*b304*b445 + 160*b304*b449 + 
     26*b304*b454 + 34*b304*b458 + b304*b462 + 108*b304*b463 + 50*b304*b464 + 
     294*b304*b466 + 270*b304*b467 + 14*b304*b468 + 68*b304*b469 + 93*b304*b474
      + 78*b304*b475 + 38*b304*b476 + 17*b304*b480 + 139*b304*b482 + 316*b304*
     b484 + 79*b304*b486 + b304*b489 + 20*b304*b491 + 11*b304*b492 + 149*b304*
     b493 + 9*b304*b495 + 116*b304*b500 + 108*b304*b501 + 2*b304*b504 + 66*b304
     *b505 + 104*b305*b311 + 49*b305*b312 + 162*b305*b319 + 90*b305*b322 + 9*
     b305*b323 + 125*b305*b328 + 161*b305*b332 + 422*b305*b334 + 69*b305*b338
      + 4*b305*b343 + 55*b305*b345 + 169*b305*b346 + 61*b305*b347 + 300*b305*
     b349 + 171*b305*b353 + 179*b305*b358 + 5*b305*b359 + 257*b305*b360 + 31*
     b305*b361 + 31*b305*b365 + 242*b305*b366 + 177*b305*b369 + 95*b305*b371 + 
     30*b305*b373 + 90*b305*b374 + 34*b305*b375 + 61*b305*b377 + 15*b305*b378
      + 175*b305*b380 + 46*b305*b381 + 482*b305*b383 + 24*b305*b384 + 213*b305*
     b388 + 284*b305*b391 + 16*b305*b392 + 13*b305*b393 + 207*b305*b394 + 15*
     b305*b396 + 7*b305*b399 + 4*b305*b400 + 76*b305*b406 + 15*b305*b407 + 81*
     b305*b409 + 211*b305*b410 + 264*b305*b411 + 29*b305*b413 + 256*b305*b415
      + 225*b305*b421 + 316*b305*b422 + 15*b305*b423 + 6*b305*b428 + 158*b305*
     b431 + 63*b305*b435 + 173*b305*b441 + 26*b305*b442 + 42*b305*b444 + 41*
     b305*b446 + 213*b305*b454 + 221*b305*b456 + 64*b305*b457 + 25*b305*b458 + 
     4*b305*b459 + 168*b305*b460 + 9*b305*b461 + 2*b305*b468 + 261*b305*b469 + 
     61*b305*b473 + 105*b305*b476 + 273*b305*b479 + 5*b305*b480 + 68*b305*b482
      + 28*b305*b486 + 5*b305*b490 + 61*b305*b491 + 171*b305*b492 + b305*b495
      + 219*b305*b496 + 23*b305*b497 + 4*b305*b498 + 8*b305*b499 + 191*b305*
     b502 + 379*b305*b503 + 158*b305*b505 + 379*b305*b506 + 102*b305*b507 + 14*
     b305*b510 + 333*b306*b312 + 161*b306*b315 + 68*b306*b317 + 16*b306*b326 + 
     72*b306*b327 + 77*b306*b329 + 248*b306*b331 + 273*b306*b332 + 292*b306*
     b334 + 143*b306*b335 + 107*b306*b336 + 28*b306*b338 + 63*b306*b339 + 19*
     b306*b340 + 152*b306*b341 + 28*b306*b346 + 83*b306*b347 + b306*b350 + 222*
     b306*b351 + 42*b306*b353 + 102*b306*b354 + 188*b306*b356 + 211*b306*b358
      + 12*b306*b359 + 141*b306*b362 + 119*b306*b364 + 158*b306*b366 + 174*b306
     *b367 + 248*b306*b369 + 105*b306*b370 + 13*b306*b373 + 102*b306*b374 + 181
     *b306*b375 + 71*b306*b376 + 102*b306*b380 + 289*b306*b381 + 112*b306*b382
      + 171*b306*b385 + 141*b306*b387 + 122*b306*b388 + 139*b306*b389 + 88*b306
     *b390 + 60*b306*b391 + 11*b306*b392 + 102*b306*b394 + 45*b306*b395 + 21*
     b306*b396 + 154*b306*b397 + 71*b306*b398 + 158*b306*b400 + 19*b306*b401 + 
     229*b306*b404 + 110*b306*b405 + 158*b306*b406 + 31*b306*b408 + 332*b306*
     b409 + 23*b306*b417 + 127*b306*b420 + 158*b306*b421 + 19*b306*b425 + 13*
     b306*b426 + 247*b306*b429 + 172*b306*b430 + 142*b306*b432 + 94*b306*b435
      + 12*b306*b437 + 7*b306*b438 + 169*b306*b440 + 40*b306*b441 + 98*b306*
     b442 + 3*b306*b445 + 14*b306*b447 + 133*b306*b448 + 172*b306*b450 + 224*
     b306*b453 + 33*b306*b455 + 310*b306*b456 + 43*b306*b457 + 198*b306*b460 + 
     101*b306*b461 + 24*b306*b462 + 76*b306*b463 + 142*b306*b464 + 20*b306*b465
      + 14*b306*b466 + 470*b306*b473 + 100*b306*b475 + 243*b306*b478 + 347*b306
     *b479 + 116*b306*b480 + 168*b306*b482 + 61*b306*b483 + 60*b306*b484 + 136*
     b306*b486 + 223*b306*b487 + 195*b306*b498 + 241*b306*b500 + 108*b306*b501
      + 69*b306*b503 + 19*b306*b505 + 190*b306*b508 + 9*b306*b509 + 17*b306*
     b510 + 52*b307*b316 + 156*b307*b318 + 23*b307*b319 + 164*b307*b322 + 278*
     b307*b326 + 97*b307*b329 + 12*b307*b330 + 175*b307*b333 + 98*b307*b335 + 
     78*b307*b336 + 233*b307*b339 + 7*b307*b340 + 69*b307*b341 + 21*b307*b343
      + 83*b307*b346 + 37*b307*b347 + 4*b307*b350 + 2*b307*b351 + 4*b307*b359
      + b307*b361 + 140*b307*b362 + 6*b307*b363 + 54*b307*b368 + 58*b307*b371
      + 32*b307*b375 + 77*b307*b376 + 108*b307*b377 + 18*b307*b379 + 163*b307*
     b382 + 73*b307*b383 + 107*b307*b387 + 91*b307*b388 + 143*b307*b389 + 178*
     b307*b391 + 2*b307*b393 + 142*b307*b395 + 63*b307*b397 + 50*b307*b398 + 45
     *b307*b399 + 83*b307*b400 + 102*b307*b405 + 14*b307*b407 + 157*b307*b408
      + 128*b307*b411 + 106*b307*b412 + 29*b307*b413 + 19*b307*b414 + 150*b307*
     b416 + 8*b307*b417 + 96*b307*b419 + 23*b307*b420 + 13*b307*b424 + 9*b307*
     b426 + 27*b307*b427 + 66*b307*b428 + 288*b307*b429 + 52*b307*b430 + 81*
     b307*b431 + 19*b307*b432 + 65*b307*b433 + 124*b307*b435 + 73*b307*b436 + 
     20*b307*b437 + 236*b307*b440 + 62*b307*b441 + 195*b307*b444 + 82*b307*b448
      + 201*b307*b449 + 164*b307*b450 + 14*b307*b451 + 273*b307*b452 + 107*b307
     *b453 + 76*b307*b455 + 8*b307*b456 + 8*b307*b459 + 186*b307*b463 + 223*
     b307*b465 + 13*b307*b470 + 187*b307*b471 + 29*b307*b473 + 40*b307*b474 + 
     135*b307*b475 + 151*b307*b476 + 65*b307*b483 + 29*b307*b485 + 170*b307*
     b486 + 3*b307*b489 + 2*b307*b490 + 133*b307*b496 + b307*b498 + 18*b307*
     b499 + 26*b307*b500 + 204*b307*b501 + 72*b307*b502 + 23*b307*b505 + 40*
     b307*b506 + 3*b307*b510 + 202*b308*b313 + 160*b308*b314 + 32*b308*b316 + 
     133*b308*b320 + 75*b308*b325 + 87*b308*b327 + 31*b308*b330 + 243*b308*b331
      + 20*b308*b332 + 120*b308*b336 + 80*b308*b342 + 35*b308*b344 + 67*b308*
     b346 + 32*b308*b347 + 15*b308*b348 + 114*b308*b351 + 6*b308*b352 + 103*
     b308*b354 + 66*b308*b361 + 107*b308*b365 + 146*b308*b368 + 134*b308*b371
      + 80*b308*b372 + 3*b308*b373 + 44*b308*b376 + 27*b308*b379 + 53*b308*b381
      + 79*b308*b382 + 155*b308*b383 + 93*b308*b387 + 70*b308*b388 + 281*b308*
     b389 + 53*b308*b391 + 53*b308*b392 + 201*b308*b395 + 4*b308*b396 + 31*b308
     *b397 + 180*b308*b398 + 46*b308*b400 + 192*b308*b401 + 18*b308*b405 + 45*
     b308*b409 + b308*b410 + 5*b308*b413 + 8*b308*b414 + 26*b308*b418 + 122*
     b308*b419 + 234*b308*b421 + 88*b308*b422 + 151*b308*b423 + 266*b308*b425
      + 123*b308*b426 + 245*b308*b432 + 82*b308*b433 + 3*b308*b434 + 251*b308*
     b435 + 137*b308*b437 + 6*b308*b438 + 47*b308*b439 + 60*b308*b440 + 172*
     b308*b441 + 43*b308*b442 + 65*b308*b443 + 8*b308*b447 + 164*b308*b448 + 7*
     b308*b453 + 252*b308*b454 + 220*b308*b457 + 48*b308*b458 + 197*b308*b461
      + 44*b308*b462 + 42*b308*b463 + 2*b308*b466 + 148*b308*b469 + 46*b308*
     b470 + 51*b308*b471 + 222*b308*b472 + 89*b308*b473 + 102*b308*b474 + 224*
     b308*b475 + 323*b308*b476 + 41*b308*b477 + 175*b308*b482 + 139*b308*b483
      + 257*b308*b485 + 207*b308*b486 + 18*b308*b489 + 291*b308*b493 + 108*b308
     *b496 + 56*b308*b500 + 29*b308*b501 + 40*b308*b502 + 4*b308*b504 + 317*
     b308*b507 + 5*b308*b509 + 25*b309*b313 + 106*b309*b318 + 18*b309*b320 + 
     311*b309*b321 + 147*b309*b323 + 172*b309*b324 + 260*b309*b327 + 423*b309*
     b328 + 21*b309*b329 + 194*b309*b333 + 317*b309*b335 + 12*b309*b340 + 19*
     b309*b341 + 3*b309*b343 + 20*b309*b346 + 237*b309*b348 + 8*b309*b350 + 68*
     b309*b351 + 11*b309*b352 + 95*b309*b354 + 242*b309*b355 + 190*b309*b360 + 
     37*b309*b362 + 23*b309*b363 + 16*b309*b368 + 108*b309*b369 + 189*b309*b370
      + 78*b309*b371 + 118*b309*b374 + 13*b309*b375 + 106*b309*b377 + 235*b309*
     b378 + 85*b309*b381 + 56*b309*b386 + 152*b309*b390 + 5*b309*b392 + 135*
     b309*b394 + 220*b309*b395 + 58*b309*b397 + 29*b309*b398 + 17*b309*b401 + 
     258*b309*b405 + 305*b309*b406 + 65*b309*b407 + 82*b309*b414 + 132*b309*
     b415 + 152*b309*b416 + 30*b309*b419 + 97*b309*b420 + 4*b309*b424 + 120*
     b309*b428 + 39*b309*b430 + 18*b309*b431 + b309*b432 + 201*b309*b442 + 284*
     b309*b445 + 110*b309*b446 + 6*b309*b447 + 193*b309*b449 + 76*b309*b451 + 
     76*b309*b453 + 13*b309*b455 + 143*b309*b456 + 54*b309*b460 + 39*b309*b463
      + 38*b309*b464 + 421*b309*b466 + 311*b309*b467 + 82*b309*b470 + 35*b309*
     b473 + 12*b309*b477 + 173*b309*b478 + 209*b309*b479 + 73*b309*b481 + 57*
     b309*b482 + 7*b309*b487 + 3*b309*b489 + 6*b309*b495 + 61*b309*b498 + 71*
     b309*b499 + 102*b309*b500 + 137*b309*b502 + 188*b309*b503 + 8*b309*b504 + 
     73*b309*b507 + 194*b309*b508 + 7*b309*b509 + 5*b309*b510 + 4*b310*b511 + 
     10*b310*b512 + 9*b310*b513 + 2*b310*b514 + 6*b310*b515 + 10*b310*b516 + 4*
     b310*b517 + 4*b310*b518 + 6*b310*b519 + 6*b310*b520 + 5*b310*b521 + 5*b310
     *b522 + 6*b310*b523 + 10*b310*b524 + 5*b310*b525 + 5*b310*b526 + 5*b310*
     b527 + 3*b310*b528 + 5*b310*b529 + 5*b310*b530 + 8*b310*b531 + 6*b310*b532
      + 9*b310*b533 + 3*b310*b534 + 8*b310*b535 + 8*b310*b536 + 5*b310*b537 + 7
     *b310*b571 + 6*b310*b572 + 5*b310*b573 + 8*b310*b574 + 6*b310*b575 + 7*
     b310*b576 + 7*b310*b577 + 6*b310*b578 + 10*b310*b579 + 4*b310*b580 + 9*
     b310*b581 + 10*b310*b582 + 4*b310*b583 + 7*b310*b599 + 6*b310*b600 + 4*
     b310*b601 + 5*b310*b602 + 9*b310*b611 + 5*b310*b612 + 4*b310*b613 + 5*b310
     *b614 + 9*b310*b616 + 8*b310*b617 + 8*b310*b618 + 38*b311*b538 + 31*b311*
     b539 + 3*b311*b540 + b311*b541 + 41*b311*b542 + 59*b311*b543 + 49*b311*
     b544 + 7*b311*b545 + 9*b311*b546 + 127*b311*b547 + 51*b311*b548 + 5*b311*
     b549 + 36*b311*b550 + 49*b311*b551 + 29*b311*b552 + 26*b311*b553 + 11*b311
     *b554 + 15*b311*b555 + 36*b311*b556 + 12*b311*b557 + 3*b311*b558 + 24*b311
     *b559 + 79*b311*b560 + 11*b311*b561 + 15*b311*b562 + 27*b311*b563 + 116*
     b311*b564 + 76*b311*b565 + 238*b311*b566 + 29*b311*b567 + 25*b311*b571 + 
     b311*b572 + 13*b311*b573 + 4*b311*b575 + 51*b311*b576 + 30*b311*b577 + 12*
     b311*b579 + 17*b311*b580 + 140*b311*b581 + 2*b311*b582 + 15*b311*b583 + 
     272*b311*b584 + 104*b311*b585 + b311*b599 + 11*b311*b600 + 8*b311*b601 + 
     17*b311*b602 + 150*b311*b611 + 10*b311*b612 + 26*b311*b614 + 4*b311*b616
      + 70*b311*b617 + 9*b311*b618 + 28*b312*b517 + 31*b312*b519 + 15*b312*b520
      + 5*b312*b522 + 9*b312*b523 + 24*b312*b525 + 24*b312*b527 + 37*b312*b528
      + 10*b312*b531 + 2*b312*b532 + 82*b312*b533 + 14*b312*b535 + 12*b312*b538
      + 23*b312*b539 + 60*b312*b543 + 57*b312*b547 + 44*b312*b548 + 42*b312*
     b549 + 4*b312*b553 + 16*b312*b561 + 41*b312*b565 + 69*b312*b572 + 33*b312*
     b573 + 24*b312*b574 + 5*b312*b577 + 29*b312*b578 + 11*b312*b579 + b312*
     b580 + 30*b312*b581 + 26*b312*b584 + 49*b312*b585 + 13*b312*b586 + 28*b312
     *b588 + 24*b312*b589 + 23*b312*b591 + 27*b312*b592 + 8*b312*b594 + 83*b312
     *b596 + 10*b312*b599 + 28*b312*b600 + 25*b312*b602 + 4*b312*b604 + 24*b312
     *b605 + 13*b312*b608 + 333*b312*b610 + 128*b312*b615 + 77*b312*b616 + 30*
     b312*b617 + 14*b312*b618 + 37*b313*b511 + 6*b313*b512 + 2*b313*b513 + 15*
     b313*b514 + 53*b313*b515 + 18*b313*b517 + 79*b313*b518 + 10*b313*b519 + 10
     *b313*b520 + 80*b313*b521 + 54*b313*b523 + 42*b313*b527 + 26*b313*b532 + 
     22*b313*b535 + 19*b313*b538 + 20*b313*b540 + 36*b313*b541 + 44*b313*b544
      + 36*b313*b545 + 6*b313*b546 + 48*b313*b547 + 6*b313*b550 + 5*b313*b551
      + 3*b313*b554 + 18*b313*b556 + 164*b313*b557 + 23*b313*b558 + 6*b313*b559
      + 20*b313*b561 + 2*b313*b562 + 27*b313*b564 + 122*b313*b565 + 35*b313*
     b567 + 202*b313*b569 + 25*b313*b570 + b313*b574 + 16*b313*b575 + 39*b313*
     b578 + 45*b313*b580 + 20*b313*b581 + 55*b313*b583 + 204*b313*b584 + 19*
     b313*b586 + 28*b313*b587 + 41*b313*b588 + 16*b313*b589 + 14*b313*b591 + 
     141*b313*b592 + 141*b313*b596 + 39*b313*b599 + 20*b313*b600 + 88*b313*b601
      + 30*b313*b602 + 35*b313*b603 + 22*b313*b605 + 40*b313*b606 + 61*b313*
     b607 + 9*b313*b608 + 34*b313*b612 + 2*b313*b614 + 32*b314*b511 + 62*b314*
     b512 + 63*b314*b513 + 10*b314*b515 + 53*b314*b516 + 17*b314*b521 + 26*b314
     *b522 + 11*b314*b524 + 15*b314*b526 + 82*b314*b527 + 2*b314*b529 + 19*b314
     *b530 + 28*b314*b531 + 83*b314*b532 + 2*b314*b533 + 73*b314*b534 + 3*b314*
     b538 + 35*b314*b540 + 39*b314*b545 + 35*b314*b546 + 17*b314*b547 + 2*b314*
     b550 + b314*b553 + 24*b314*b554 + 11*b314*b555 + 13*b314*b560 + 111*b314*
     b566 + 133*b314*b567 + 160*b314*b569 + 75*b314*b571 + 15*b314*b572 + 28*
     b314*b576 + 17*b314*b578 + 16*b314*b580 + 10*b314*b583 + 2*b314*b587 + 86*
     b314*b588 + 11*b314*b589 + 6*b314*b591 + 23*b314*b592 + 18*b314*b593 + 31*
     b314*b594 + 3*b314*b596 + 9*b314*b600 + 18*b314*b601 + 2*b314*b602 + 50*
     b314*b603 + 70*b314*b604 + 11*b314*b606 + 10*b314*b611 + 65*b314*b612 + 10
     *b314*b613 + 14*b315*b512 + 15*b315*b513 + 12*b315*b514 + 17*b315*b516 + 
     85*b315*b517 + 13*b315*b520 + 48*b315*b521 + 79*b315*b525 + 16*b315*b526
      + 60*b315*b529 + 111*b315*b531 + 15*b315*b533 + 34*b315*b534 + 7*b315*
     b535 + 30*b315*b538 + 30*b315*b545 + 23*b315*b546 + 6*b315*b547 + 10*b315*
     b549 + 54*b315*b550 + 24*b315*b551 + 54*b315*b554 + 14*b315*b557 + 9*b315*
     b560 + 34*b315*b564 + 31*b315*b565 + 183*b315*b566 + 209*b315*b567 + 37*
     b315*b571 + 16*b315*b572 + 2*b315*b573 + 9*b315*b575 + 34*b315*b576 + 33*
     b315*b577 + 8*b315*b579 + 82*b315*b586 + 16*b315*b589 + 26*b315*b591 + 51*
     b315*b592 + 51*b315*b596 + 60*b315*b599 + 52*b315*b600 + 95*b315*b602 + 47
     *b315*b604 + 161*b315*b610 + 8*b315*b611 + 60*b315*b612 + 53*b315*b614 + 
     13*b315*b615 + b315*b617 + 15*b316*b511 + 18*b316*b515 + 39*b316*b516 + 9*
     b316*b519 + 10*b316*b520 + 27*b316*b521 + 9*b316*b522 + 24*b316*b523 + 29*
     b316*b525 + 12*b316*b527 + 4*b316*b528 + 22*b316*b529 + 12*b316*b533 + 30*
     b316*b534 + 4*b316*b536 + 104*b316*b538 + b316*b539 + 7*b316*b540 + 26*
     b316*b541 + 50*b316*b542 + 22*b316*b546 + 21*b316*b548 + 18*b316*b550 + 8*
     b316*b551 + 43*b316*b552 + 15*b316*b553 + b316*b554 + 39*b316*b557 + 11*
     b316*b562 + 25*b316*b563 + 50*b316*b564 + 142*b316*b565 + 162*b316*b566 + 
     8*b316*b567 + 52*b316*b568 + 32*b316*b569 + 20*b316*b571 + 8*b316*b573 + 
     58*b316*b577 + 21*b316*b578 + 23*b316*b579 + 40*b316*b580 + 3*b316*b583 + 
     34*b316*b584 + 21*b316*b591 + 21*b316*b592 + 36*b316*b596 + 130*b316*b598
      + 5*b316*b599 + 48*b316*b603 + 72*b316*b605 + 60*b316*b606 + 73*b316*b607
      + 91*b316*b608 + 91*b316*b615 + 105*b316*b616 + 110*b316*b617 + 14*b316*
     b618 + 23*b317*b511 + 89*b317*b517 + 5*b317*b521 + 23*b317*b523 + 143*b317
     *b529 + 27*b317*b532 + 12*b317*b535 + 5*b317*b538 + 116*b317*b540 + 39*
     b317*b541 + 11*b317*b543 + 26*b317*b544 + 5*b317*b545 + 16*b317*b546 + 12*
     b317*b547 + 111*b317*b548 + 6*b317*b551 + 27*b317*b556 + 27*b317*b557 + 
     106*b317*b558 + 145*b317*b559 + 4*b317*b561 + 73*b317*b565 + 148*b317*b566
      + 226*b317*b567 + b317*b572 + 203*b317*b574 + 3*b317*b577 + 6*b317*b578
      + 6*b317*b579 + 28*b317*b580 + 22*b317*b583 + 5*b317*b588 + 12*b317*b589
      + 20*b317*b592 + 72*b317*b595 + 3*b317*b596 + 10*b317*b597 + 98*b317*b599
      + 48*b317*b600 + 10*b317*b608 + 68*b317*b610 + 65*b317*b612 + 10*b317*
     b613 + 139*b317*b614 + 60*b317*b618 + 2*b318*b511 + 33*b318*b517 + 10*b318
     *b518 + 28*b318*b519 + 8*b318*b524 + 12*b318*b525 + 8*b318*b528 + 9*b318*
     b531 + 33*b318*b532 + 4*b318*b536 + 37*b318*b537 + 61*b318*b538 + 53*b318*
     b541 + 27*b318*b547 + 32*b318*b550 + 14*b318*b551 + 51*b318*b552 + 14*b318
     *b553 + 47*b318*b555 + 132*b318*b558 + 9*b318*b560 + 156*b318*b568 + 106*
     b318*b570 + 13*b318*b573 + 65*b318*b575 + 64*b318*b578 + 23*b318*b580 + 
     250*b318*b584 + 56*b318*b586 + b318*b591 + 9*b318*b592 + 151*b318*b595 + 9
     *b318*b596 + 29*b318*b597 + 22*b318*b601 + 58*b318*b602 + 31*b318*b603 + 
     28*b318*b604 + 12*b318*b605 + 25*b318*b606 + 5*b318*b607 + 8*b318*b608 + 
     88*b318*b609 + 47*b318*b612 + 98*b318*b614 + 24*b318*b615 + 12*b318*b618
      + 37*b319*b512 + 84*b319*b514 + 22*b319*b517 + b319*b519 + 41*b319*b520
      + 17*b319*b524 + 25*b319*b527 + 63*b319*b529 + 20*b319*b530 + 162*b319*
     b531 + 86*b319*b538 + 7*b319*b539 + 33*b319*b542 + 15*b319*b544 + 4*b319*
     b545 + 92*b319*b548 + 32*b319*b549 + 9*b319*b555 + 30*b319*b559 + 71*b319*
     b560 + 32*b319*b563 + 36*b319*b564 + 35*b319*b565 + 91*b319*b566 + 155*
     b319*b567 + 23*b319*b568 + 109*b319*b571 + 16*b319*b573 + 47*b319*b574 + 
     58*b319*b575 + 57*b319*b576 + 55*b319*b580 + 72*b319*b581 + 11*b319*b583
      + 162*b319*b585 + 69*b319*b586 + 23*b319*b589 + 22*b319*b591 + 9*b319*
     b593 + 11*b319*b596 + 127*b319*b599 + 2*b319*b600 + 32*b319*b602 + 76*b319
     *b611 + 5*b319*b612 + 17*b319*b614 + 17*b319*b616 + 46*b319*b618 + 25*b320
     *b511 + 10*b320*b512 + 12*b320*b514 + 3*b320*b515 + 32*b320*b516 + 73*b320
     *b518 + 3*b320*b522 + 14*b320*b523 + 17*b320*b525 + 21*b320*b526 + 13*b320
     *b530 + 52*b320*b531 + 2*b320*b533 + 68*b320*b534 + 26*b320*b537 + 8*b320*
     b539 + 12*b320*b543 + 6*b320*b544 + 18*b320*b546 + 10*b320*b547 + 31*b320*
     b549 + 15*b320*b550 + 23*b320*b551 + 35*b320*b552 + b320*b555 + 21*b320*
     b561 + 14*b320*b562 + 70*b320*b565 + 135*b320*b566 + 137*b320*b568 + 77*
     b320*b574 + 75*b320*b575 + 34*b320*b577 + 22*b320*b580 + 91*b320*b584 + 67
     *b320*b585 + 13*b320*b587 + 49*b320*b591 + 17*b320*b599 + 61*b320*b600 + 
     14*b320*b602 + 57*b320*b603 + 22*b320*b605 + 29*b320*b606 + 43*b320*b610
      + 27*b320*b612 + 80*b320*b614 + 12*b320*b616 + 3*b320*b617 + 21*b321*b511
      + 36*b321*b514 + 8*b321*b515 + 28*b321*b516 + 26*b321*b517 + 46*b321*b521
      + 5*b321*b522 + 10*b321*b524 + 8*b321*b529 + 114*b321*b530 + 40*b321*b532
      + 14*b321*b538 + 19*b321*b539 + 4*b321*b541 + 19*b321*b542 + 57*b321*b544
      + b321*b545 + 2*b321*b549 + 36*b321*b551 + 47*b321*b554 + 18*b321*b556 + 
     37*b321*b558 + 172*b321*b560 + 4*b321*b561 + 59*b321*b563 + 82*b321*b564
      + 113*b321*b565 + 204*b321*b566 + 311*b321*b570 + 31*b321*b571 + 50*b321*
     b572 + 72*b321*b573 + 36*b321*b578 + 126*b321*b581 + 27*b321*b583 + 26*
     b321*b586 + 12*b321*b588 + 35*b321*b590 + 5*b321*b592 + 12*b321*b593 + 2*
     b321*b595 + 7*b321*b600 + 16*b321*b601 + 27*b321*b604 + 13*b321*b606 + 43*
     b321*b608 + 9*b321*b609 + 39*b321*b611 + 13*b321*b612 + 5*b321*b613 + 8*
     b321*b614 + 48*b321*b616 + 7*b321*b618 + 6*b322*b512 + 10*b322*b514 + 22*
     b322*b515 + 24*b322*b516 + 3*b322*b517 + 34*b322*b518 + 8*b322*b519 + 146*
     b322*b522 + 152*b322*b523 + 4*b322*b524 + 50*b322*b525 + 5*b322*b526 + 20*
     b322*b527 + 106*b322*b528 + 13*b322*b529 + 33*b322*b531 + 32*b322*b532 + 3
     *b322*b533 + 27*b322*b535 + 73*b322*b537 + 24*b322*b539 + 25*b322*b541 + 6
     *b322*b545 + 51*b322*b550 + b322*b556 + 4*b322*b562 + 2*b322*b563 + 29*
     b322*b569 + 156*b322*b570 + 15*b322*b571 + 35*b322*b574 + 30*b322*b576 + 6
     *b322*b577 + 16*b322*b580 + 9*b322*b581 + 42*b322*b583 + 59*b322*b584 + 11
     *b322*b588 + 56*b322*b589 + 16*b322*b590 + 16*b322*b592 + 22*b322*b593 + 
     11*b322*b599 + 16*b322*b600 + 7*b322*b601 + 124*b322*b602 + 14*b322*b605
      + b322*b608 + 26*b322*b609 + 26*b322*b610 + 47*b322*b611 + 10*b322*b612
      + 11*b322*b614 + 16*b322*b615 + 7*b322*b616 + 8*b322*b617 + 31*b322*b618
      + 7*b323*b511 + 32*b323*b513 + 51*b323*b517 + 61*b323*b518 + 13*b323*b520
      + 5*b323*b525 + 22*b323*b526 + 193*b323*b527 + 32*b323*b528 + 18*b323*
     b531 + 18*b323*b532 + 139*b323*b535 + 11*b323*b542 + 142*b323*b545 + 3*
     b323*b546 + 51*b323*b547 + 29*b323*b551 + 80*b323*b554 + 55*b323*b556 + 47
     *b323*b559 + 42*b323*b560 + 17*b323*b562 + 16*b323*b564 + 10*b323*b568 + 
     247*b323*b569 + 30*b323*b571 + 9*b323*b572 + 15*b323*b573 + 16*b323*b577
      + 19*b323*b578 + 4*b323*b580 + 18*b323*b581 + b323*b587 + 6*b323*b588 + 9
     *b323*b598 + 23*b323*b600 + 10*b323*b602 + 36*b323*b603 + 6*b323*b605 + 8*
     b323*b607 + 6*b323*b608 + 80*b323*b609 + 31*b323*b610 + 27*b323*b611 + 21*
     b323*b612 + 109*b323*b614 + b323*b616 + 23*b323*b617 + 24*b323*b618 + 4*
     b324*b512 + 17*b324*b513 + 6*b324*b516 + 32*b324*b518 + 10*b324*b522 + 151
     *b324*b524 + 80*b324*b528 + 18*b324*b529 + 29*b324*b531 + 11*b324*b535 + 
     11*b324*b536 + 8*b324*b538 + 71*b324*b539 + 22*b324*b540 + 20*b324*b541 + 
     30*b324*b544 + 51*b324*b546 + 33*b324*b547 + 54*b324*b548 + 7*b324*b554 + 
     11*b324*b556 + 26*b324*b562 + 12*b324*b563 + 59*b324*b565 + 334*b324*b566
      + 172*b324*b570 + 34*b324*b572 + 17*b324*b573 + 6*b324*b576 + 26*b324*
     b577 + 144*b324*b578 + 2*b324*b582 + 25*b324*b586 + 22*b324*b589 + 10*b324
     *b590 + 8*b324*b592 + 8*b324*b594 + 3*b324*b595 + 54*b324*b596 + 20*b324*
     b597 + 42*b324*b599 + 5*b324*b600 + 64*b324*b601 + 49*b324*b606 + 93*b324*
     b609 + 3*b324*b613 + 18*b325*b511 + 4*b325*b512 + 9*b325*b515 + 19*b325*
     b516 + 24*b325*b520 + 8*b325*b521 + 14*b325*b523 + 23*b325*b525 + 38*b325*
     b529 + 3*b325*b534 + 2*b325*b535 + 15*b325*b537 + 25*b325*b538 + 17*b325*
     b541 + 80*b325*b542 + 4*b325*b545 + 11*b325*b546 + 70*b325*b547 + 26*b325*
     b548 + 22*b325*b549 + 3*b325*b552 + 7*b325*b553 + 7*b325*b559 + 352*b325*
     b566 + 25*b325*b567 + 75*b325*b569 + 18*b325*b571 + 28*b325*b573 + 28*b325
     *b577 + 70*b325*b578 + 11*b325*b579 + 67*b325*b580 + 11*b325*b583 + 103*
     b325*b584 + 6*b325*b586 + 19*b325*b589 + 14*b325*b594 + 71*b325*b596 + 148
     *b325*b597 + 115*b325*b598 + 44*b325*b603 + 98*b325*b605 + 29*b325*b607 + 
     35*b325*b608 + 120*b325*b611 + 9*b325*b613 + 6*b325*b615 + 183*b325*b616
      + 19*b325*b617 + 6*b325*b618 + 34*b326*b511 + 6*b326*b513 + 8*b326*b514
      + 24*b326*b517 + 29*b326*b520 + 44*b326*b521 + 43*b326*b525 + 72*b326*
     b527 + 15*b326*b528 + 8*b326*b529 + 7*b326*b536 + 80*b326*b538 + 73*b326*
     b539 + 2*b326*b540 + 8*b326*b541 + 37*b326*b542 + b326*b544 + 69*b326*b545
      + 39*b326*b547 + 10*b326*b548 + 5*b326*b550 + 11*b326*b554 + 40*b326*b555
      + 12*b326*b557 + 2*b326*b558 + 67*b326*b561 + 50*b326*b562 + 71*b326*b563
      + 37*b326*b564 + 62*b326*b565 + 278*b326*b568 + 6*b326*b572 + 18*b326*
     b575 + 27*b326*b578 + 20*b326*b580 + 37*b326*b581 + 38*b326*b583 + 20*b326
     *b586 + 12*b326*b588 + 65*b326*b589 + 11*b326*b591 + 39*b326*b592 + 94*
     b326*b596 + 111*b326*b597 + 58*b326*b602 + 27*b326*b604 + 94*b326*b608 + 
     16*b326*b610 + 3*b326*b611 + 9*b326*b612 + 48*b326*b613 + 48*b326*b614 + 
     37*b326*b615 + 11*b326*b617 + 18*b327*b512 + 100*b327*b513 + 22*b327*b516
      + 18*b327*b518 + 24*b327*b520 + 10*b327*b521 + 8*b327*b522 + 27*b327*b527
      + 27*b327*b531 + 24*b327*b534 + 17*b327*b535 + 6*b327*b537 + 66*b327*b541
      + b327*b543 + 17*b327*b544 + 8*b327*b545 + 53*b327*b547 + 6*b327*b553 + 7
     *b327*b554 + 16*b327*b556 + 42*b327*b560 + 66*b327*b562 + 17*b327*b564 + 
     25*b327*b565 + 128*b327*b566 + 52*b327*b568 + 36*b327*b573 + 33*b327*b574
      + 36*b327*b575 + 46*b327*b576 + b327*b577 + 19*b327*b579 + 106*b327*b581
      + b327*b582 + 319*b327*b584 + 114*b327*b585 + 17*b327*b586 + 107*b327*
     b587 + 131*b327*b588 + 17*b327*b591 + 87*b327*b592 + 13*b327*b593 + 43*
     b327*b596 + 29*b327*b600 + 26*b327*b601 + 8*b327*b603 + 12*b327*b607 + 78*
     b327*b608 + 123*b327*b609 + 106*b327*b611 + 12*b327*b613 + 162*b327*b616
      + 117*b327*b617 + 54*b327*b618 + 90*b328*b513 + 12*b328*b514 + 32*b328*
     b516 + 16*b328*b517 + 70*b328*b518 + 26*b328*b519 + 34*b328*b522 + 15*b328
     *b524 + 33*b328*b526 + 28*b328*b527 + 51*b328*b530 + 28*b328*b533 + 72*
     b328*b535 + 47*b328*b536 + 33*b328*b538 + 2*b328*b543 + 2*b328*b544 + 32*
     b328*b545 + 37*b328*b549 + b328*b550 + 16*b328*b553 + 17*b328*b554 + 54*
     b328*b555 + 71*b328*b556 + 37*b328*b560 + 19*b328*b561 + 75*b328*b562 + 70
     *b328*b566 + 423*b328*b570 + 42*b328*b571 + 8*b328*b573 + 28*b328*b575 + 8
     *b328*b582 + 125*b328*b585 + 31*b328*b587 + 13*b328*b588 + 5*b328*b589 + 3
     *b328*b593 + 20*b328*b595 + 27*b328*b596 + 113*b328*b597 + 7*b328*b604 + 
     111*b328*b606 + 30*b328*b608 + 56*b328*b611 + 13*b328*b614 + 6*b328*b615
      + 37*b328*b616 + 11*b328*b617 + 47*b329*b511 + 24*b329*b512 + 5*b329*b513
      + 82*b329*b514 + 3*b329*b516 + 85*b329*b518 + 7*b329*b520 + 41*b329*b521
      + 5*b329*b525 + 17*b329*b526 + 15*b329*b528 + 28*b329*b529 + 29*b329*b530
      + 12*b329*b531 + 21*b329*b538 + 26*b329*b539 + 68*b329*b540 + 6*b329*b545
      + 39*b329*b546 + 21*b329*b548 + 7*b329*b549 + 18*b329*b550 + 11*b329*b551
      + 86*b329*b554 + 41*b329*b555 + 125*b329*b556 + 26*b329*b557 + 27*b329*
     b558 + 16*b329*b559 + 10*b329*b562 + 59*b329*b563 + 51*b329*b566 + 85*b329
     *b567 + 97*b329*b568 + 21*b329*b570 + 6*b329*b571 + 45*b329*b572 + 16*b329
     *b573 + 38*b329*b574 + 38*b329*b576 + 40*b329*b577 + 15*b329*b578 + 75*
     b329*b586 + 27*b329*b588 + 24*b329*b590 + 11*b329*b592 + 30*b329*b594 + 65
     *b329*b595 + 78*b329*b597 + 37*b329*b600 + 21*b329*b601 + 7*b329*b602 + 11
     *b329*b603 + 29*b329*b604 + 27*b329*b606 + 32*b329*b608 + 84*b329*b609 + 
     77*b329*b610 + 36*b329*b613 + 17*b329*b615 + 22*b329*b616 + 3*b329*b617 + 
     19*b329*b618 + 3*b330*b517 + 11*b330*b519 + 28*b330*b520 + b330*b527 + 19*
     b330*b529 + 4*b330*b536 + 11*b330*b537 + 13*b330*b538 + 5*b330*b542 + 12*
     b330*b546 + 15*b330*b547 + b330*b548 + 102*b330*b551 + 17*b330*b555 + 20*
     b330*b559 + 4*b330*b567 + 12*b330*b568 + 31*b330*b569 + 3*b330*b578 + 63*
     b330*b580 + 5*b330*b581 + 13*b330*b583 + 47*b330*b589 + 21*b330*b590 + 51*
     b330*b592 + 69*b330*b596 + 16*b330*b599 + 27*b330*b601 + 14*b330*b603 + 12
     *b330*b605 + 50*b330*b606 + 13*b330*b615 + 53*b331*b511 + 69*b331*b512 + 
     10*b331*b516 + 80*b331*b520 + 39*b331*b521 + 6*b331*b527 + 68*b331*b529 + 
     3*b331*b530 + 22*b331*b531 + 46*b331*b532 + 33*b331*b536 + 10*b331*b537 + 
     43*b331*b538 + 35*b331*b539 + 4*b331*b540 + 19*b331*b547 + 63*b331*b548 + 
     81*b331*b549 + 33*b331*b551 + 97*b331*b552 + 30*b331*b555 + 21*b331*b557
      + 53*b331*b560 + 4*b331*b562 + 39*b331*b564 + 88*b331*b566 + 243*b331*
     b569 + 141*b331*b571 + 33*b331*b573 + 73*b331*b577 + 47*b331*b578 + 36*
     b331*b579 + 10*b331*b583 + 4*b331*b587 + 29*b331*b588 + 18*b331*b589 + 55*
     b331*b592 + 120*b331*b594 + 32*b331*b595 + 25*b331*b596 + 4*b331*b598 + 76
     *b331*b599 + 40*b331*b601 + 41*b331*b605 + 15*b331*b608 + 346*b331*b609 + 
     248*b331*b610 + 5*b331*b612 + 28*b331*b615 + 29*b331*b618 + 15*b332*b511
      + 45*b332*b514 + 94*b332*b516 + 60*b332*b518 + 34*b332*b520 + 22*b332*
     b521 + 41*b332*b523 + 27*b332*b525 + 45*b332*b527 + 47*b332*b528 + 72*b332
     *b532 + 11*b332*b533 + 35*b332*b534 + 95*b332*b535 + 69*b332*b538 + 67*
     b332*b539 + 5*b332*b540 + 58*b332*b543 + 5*b332*b544 + 86*b332*b545 + 56*
     b332*b546 + 32*b332*b547 + 7*b332*b548 + 96*b332*b549 + 16*b332*b550 + 14*
     b332*b552 + 6*b332*b553 + 37*b332*b555 + 51*b332*b556 + 34*b332*b557 + 32*
     b332*b558 + 37*b332*b559 + 67*b332*b561 + 99*b332*b565 + 20*b332*b569 + 39
     *b332*b572 + 10*b332*b573 + 76*b332*b575 + 13*b332*b578 + 16*b332*b580 + 
     112*b332*b584 + 161*b332*b585 + 10*b332*b587 + 61*b332*b588 + 60*b332*b589
      + 41*b332*b591 + 44*b332*b592 + 6*b332*b594 + 48*b332*b595 + 4*b332*b597
      + 13*b332*b598 + 21*b332*b602 + 14*b332*b603 + 49*b332*b605 + 22*b332*
     b608 + 60*b332*b609 + 273*b332*b610 + 16*b332*b615 + 30*b332*b616 + 34*
     b332*b617 + 27*b333*b511 + 60*b333*b513 + 39*b333*b514 + 34*b333*b516 + 19
     *b333*b518 + 10*b333*b523 + 13*b333*b525 + 22*b333*b526 + 42*b333*b527 + 
     47*b333*b534 + 26*b333*b536 + 73*b333*b538 + 9*b333*b540 + 61*b333*b541 + 
     59*b333*b544 + 26*b333*b545 + 10*b333*b548 + 25*b333*b553 + 80*b333*b554
      + 38*b333*b555 + 11*b333*b556 + 23*b333*b559 + 162*b333*b561 + 91*b333*
     b563 + 125*b333*b567 + 175*b333*b568 + 194*b333*b570 + 9*b333*b571 + 10*
     b333*b572 + 6*b333*b575 + 20*b333*b580 + 17*b333*b582 + 9*b333*b590 + 41*
     b333*b593 + b333*b595 + 14*b333*b597 + 4*b333*b598 + 30*b333*b600 + 8*b333
     *b603 + 12*b333*b604 + 79*b333*b605 + 100*b333*b609 + 13*b333*b613 + 22*
     b333*b615 + 15*b333*b617 + 120*b334*b511 + 38*b334*b512 + 17*b334*b513 + 
     39*b334*b514 + 80*b334*b515 + 36*b334*b518 + 54*b334*b519 + 64*b334*b520
      + 8*b334*b524 + 38*b334*b525 + 57*b334*b528 + 19*b334*b534 + 20*b334*b535
      + 35*b334*b536 + 69*b334*b538 + 4*b334*b541 + 77*b334*b543 + 82*b334*b544
      + 18*b334*b546 + 12*b334*b556 + 30*b334*b560 + 4*b334*b564 + 126*b334*
     b566 + 13*b334*b572 + 36*b334*b577 + 18*b334*b578 + 7*b334*b580 + 12*b334*
     b581 + 201*b334*b583 + 422*b334*b585 + 4*b334*b586 + 17*b334*b587 + 51*
     b334*b590 + 7*b334*b592 + 8*b334*b593 + 17*b334*b594 + 4*b334*b597 + 76*
     b334*b601 + 21*b334*b607 + 292*b334*b610 + 7*b334*b611 + 17*b334*b612 + 11
     *b334*b617 + 68*b335*b513 + 16*b335*b515 + 42*b335*b517 + 2*b335*b518 + 22
     *b335*b519 + 28*b335*b520 + 46*b335*b521 + 16*b335*b522 + 12*b335*b524 + 
     85*b335*b533 + 23*b335*b534 + 18*b335*b535 + b335*b536 + 12*b335*b537 + 19
     *b335*b538 + 26*b335*b539 + 35*b335*b545 + 38*b335*b551 + 65*b335*b554 + 
     52*b335*b558 + 21*b335*b561 + 29*b335*b562 + 9*b335*b564 + 146*b335*b567
      + 98*b335*b568 + 317*b335*b570 + 6*b335*b572 + 62*b335*b573 + 213*b335*
     b581 + 24*b335*b586 + 17*b335*b587 + 64*b335*b588 + 16*b335*b592 + 25*b335
     *b593 + b335*b595 + 16*b335*b597 + 31*b335*b599 + 7*b335*b601 + 27*b335*
     b603 + 10*b335*b604 + 49*b335*b606 + 89*b335*b608 + 143*b335*b610 + 7*b335
     *b613 + 42*b335*b614 + b335*b615 + 169*b335*b616 + 85*b336*b512 + 22*b336*
     b515 + 151*b336*b516 + 26*b336*b517 + 2*b336*b521 + 11*b336*b522 + 20*b336
     *b523 + 19*b336*b527 + 39*b336*b528 + 46*b336*b529 + 9*b336*b530 + 39*b336
     *b534 + 57*b336*b538 + 37*b336*b541 + 38*b336*b545 + b336*b546 + 45*b336*
     b547 + 29*b336*b548 + 3*b336*b550 + 11*b336*b551 + 10*b336*b552 + 13*b336*
     b555 + 41*b336*b556 + 11*b336*b557 + 179*b336*b560 + 61*b336*b563 + 72*
     b336*b564 + 117*b336*b565 + 255*b336*b566 + 78*b336*b568 + 120*b336*b569
      + 16*b336*b572 + 25*b336*b573 + 22*b336*b574 + 12*b336*b576 + 21*b336*
     b577 + 32*b336*b578 + 29*b336*b579 + 35*b336*b580 + 42*b336*b581 + 17*b336
     *b583 + 29*b336*b591 + 12*b336*b592 + 38*b336*b593 + 15*b336*b596 + 33*
     b336*b597 + 40*b336*b598 + 27*b336*b599 + 24*b336*b601 + 10*b336*b602 + 34
     *b336*b603 + b336*b605 + 25*b336*b606 + 107*b336*b610 + 143*b336*b611 + 47
     *b336*b613 + 18*b336*b615 + 78*b336*b616 + b337*b511 + 60*b337*b513 + 15*
     b337*b514 + 30*b337*b515 + 21*b337*b517 + 49*b337*b521 + 21*b337*b522 + 25
     *b337*b523 + 37*b337*b524 + 3*b337*b525 + 114*b337*b526 + 33*b337*b528 + 
     47*b337*b530 + 16*b337*b534 + 20*b337*b535 + b337*b538 + 21*b337*b539 + 41
     *b337*b541 + 64*b337*b544 + 8*b337*b545 + 51*b337*b547 + 42*b337*b548 + 5*
     b337*b550 + 20*b337*b554 + 7*b337*b556 + 45*b337*b558 + 6*b337*b559 + 17*
     b337*b560 + 50*b337*b561 + 71*b337*b563 + 23*b337*b564 + 232*b337*b565 + 
     236*b337*b566 + 50*b337*b567 + 8*b337*b573 + 32*b337*b577 + 63*b337*b578
      + 5*b337*b579 + 20*b337*b580 + 28*b337*b581 + 20*b337*b583 + 33*b337*b586
      + 17*b337*b591 + 5*b337*b593 + 15*b337*b595 + 35*b337*b599 + 10*b337*b601
      + 45*b337*b602 + 29*b337*b603 + 10*b337*b604 + 255*b337*b609 + 44*b337*
     b611 + 6*b337*b612 + 56*b337*b613 + 3*b337*b614 + 10*b337*b618 + 6*b338*
     b511 + 79*b338*b512 + 75*b338*b514 + 66*b338*b515 + 45*b338*b516 + 35*b338
     *b517 + 3*b338*b519 + 56*b338*b523 + 28*b338*b526 + 10*b338*b528 + 36*b338
     *b529 + 75*b338*b531 + 25*b338*b534 + 27*b338*b535 + 20*b338*b537 + 38*
     b338*b538 + 43*b338*b539 + 48*b338*b544 + 45*b338*b545 + 34*b338*b547 + 39
     *b338*b548 + 10*b338*b551 + 49*b338*b553 + 5*b338*b555 + 61*b338*b556 + 8*
     b338*b558 + 25*b338*b559 + 37*b338*b560 + 5*b338*b561 + 188*b338*b567 + 82
     *b338*b571 + 11*b338*b573 + 37*b338*b574 + 55*b338*b575 + 23*b338*b576 + 8
     *b338*b577 + 69*b338*b585 + 113*b338*b586 + 54*b338*b591 + 27*b338*b592 + 
     33*b338*b593 + 8*b338*b594 + 15*b338*b595 + 4*b338*b596 + 61*b338*b600 + 
     40*b338*b601 + 15*b338*b602 + 13*b338*b603 + 114*b338*b604 + 14*b338*b605
      + 12*b338*b606 + 6*b338*b608 + 102*b338*b609 + 28*b338*b610 + 28*b338*
     b612 + 76*b338*b614 + 12*b338*b618 + 74*b339*b511 + 22*b339*b513 + 74*b339
     *b514 + 27*b339*b515 + 21*b339*b517 + 68*b339*b520 + 104*b339*b521 + 40*
     b339*b523 + 4*b339*b524 + 49*b339*b525 + 73*b339*b526 + 2*b339*b527 + 21*
     b339*b528 + 50*b339*b529 + 41*b339*b530 + 29*b339*b532 + 34*b339*b537 + 4*
     b339*b538 + 24*b339*b539 + 19*b339*b540 + 45*b339*b544 + 51*b339*b545 + 15
     *b339*b546 + 17*b339*b547 + 74*b339*b548 + 22*b339*b550 + 53*b339*b551 + 
     33*b339*b554 + 2*b339*b555 + 10*b339*b556 + 83*b339*b557 + 50*b339*b558 + 
     27*b339*b559 + 111*b339*b561 + 18*b339*b562 + 9*b339*b563 + 130*b339*b565
      + 44*b339*b566 + 233*b339*b568 + 41*b339*b572 + 51*b339*b573 + 15*b339*
     b574 + 3*b339*b576 + 57*b339*b578 + 25*b339*b580 + b339*b581 + 11*b339*
     b583 + 36*b339*b586 + 134*b339*b589 + 18*b339*b590 + 59*b339*b594 + 2*b339
     *b598 + 21*b339*b599 + 59*b339*b603 + 35*b339*b604 + 16*b339*b605 + 35*
     b339*b606 + 12*b339*b607 + 19*b339*b608 + 175*b339*b609 + 63*b339*b610 + 
     30*b339*b612 + 23*b340*b511 + 15*b340*b512 + 47*b340*b513 + 19*b340*b514
      + 28*b340*b515 + 32*b340*b516 + 23*b340*b517 + 73*b340*b518 + 32*b340*
     b519 + 8*b340*b520 + 36*b340*b521 + 31*b340*b522 + 27*b340*b523 + 13*b340*
     b524 + 34*b340*b525 + 15*b340*b526 + 36*b340*b527 + 29*b340*b528 + 47*b340
     *b529 + 15*b340*b530 + 17*b340*b531 + 156*b340*b532 + 9*b340*b534 + 134*
     b340*b535 + 12*b340*b536 + 26*b340*b537 + 2*b340*b540 + 2*b340*b541 + 51*
     b340*b545 + 8*b340*b547 + 7*b340*b548 + 14*b340*b550 + 5*b340*b551 + 45*
     b340*b554 + 41*b340*b560 + 16*b340*b561 + 5*b340*b563 + 9*b340*b565 + 5*
     b340*b569 + 22*b340*b571 + 18*b340*b572 + 50*b340*b573 + 13*b340*b574 + 30
     *b340*b575 + 19*b340*b576 + 21*b340*b578 + 15*b340*b579 + 21*b340*b581 + 
     13*b340*b582 + 7*b340*b583 + 36*b340*b585 + 5*b340*b587 + 39*b340*b593 + 
     16*b340*b598 + 12*b340*b599 + 15*b340*b600 + 15*b340*b601 + 15*b340*b602
      + 6*b340*b608 + b340*b609 + 12*b340*b611 + b340*b613 + 14*b340*b616 + 11*
     b340*b617 + 28*b340*b618 + 24*b341*b516 + 17*b341*b527 + 60*b341*b528 + 6*
     b341*b529 + 5*b341*b530 + 20*b341*b532 + 127*b341*b533 + 14*b341*b535 + 43
     *b341*b536 + 46*b341*b538 + 58*b341*b539 + 51*b341*b542 + 3*b341*b543 + 14
     *b341*b547 + 40*b341*b548 + 20*b341*b549 + 10*b341*b552 + 144*b341*b553 + 
     11*b341*b554 + 42*b341*b558 + 31*b341*b560 + 19*b341*b564 + 176*b341*b566
      + 69*b341*b568 + 19*b341*b570 + 43*b341*b572 + 14*b341*b574 + 3*b341*b576
      + 26*b341*b577 + 4*b341*b581 + 34*b341*b586 + 4*b341*b587 + 28*b341*b588
      + 5*b341*b591 + 143*b341*b592 + 35*b341*b593 + 16*b341*b594 + 6*b341*b597
      + 16*b341*b600 + 94*b341*b601 + 2*b341*b602 + 31*b341*b604 + 176*b341*
     b609 + 152*b341*b610 + 16*b341*b614 + 100*b341*b615 + 59*b342*b511 + 3*
     b342*b512 + 7*b342*b513 + 83*b342*b514 + 25*b342*b515 + 39*b342*b519 + 46*
     b342*b520 + 10*b342*b521 + 17*b342*b523 + 22*b342*b525 + 83*b342*b527 + 39
     *b342*b528 + 62*b342*b530 + 14*b342*b531 + 42*b342*b532 + 51*b342*b533 + 
     38*b342*b536 + 27*b342*b537 + 129*b342*b541 + 8*b342*b542 + 26*b342*b543
      + 34*b342*b546 + 70*b342*b548 + 101*b342*b550 + 79*b342*b551 + 28*b342*
     b553 + 58*b342*b554 + 29*b342*b555 + 15*b342*b558 + 17*b342*b563 + 25*b342
     *b564 + 279*b342*b566 + 239*b342*b567 + 126*b342*b568 + 49*b342*b570 + 24*
     b342*b571 + 22*b342*b574 + 97*b342*b576 + 72*b342*b581 + 10*b342*b582 + 
     b342*b583 + 165*b342*b584 + 225*b342*b585 + 58*b342*b586 + 6*b342*b589 + 
     11*b342*b593 + 18*b342*b597 + 13*b342*b598 + 31*b342*b601 + 46*b342*b603
      + 2*b342*b605 + 213*b342*b610 + 13*b342*b611 + 11*b342*b612 + 46*b342*
     b613 + 40*b342*b615 + 54*b342*b616 + 82*b342*b618 + 28*b343*b511 + 11*b343
     *b514 + 7*b343*b515 + 4*b343*b519 + 7*b343*b520 + 14*b343*b521 + 23*b343*
     b523 + 9*b343*b527 + 2*b343*b528 + 17*b343*b529 + 41*b343*b530 + b343*b534
      + 66*b343*b537 + 3*b343*b538 + 37*b343*b539 + 48*b343*b541 + 2*b343*b548
      + 9*b343*b550 + 55*b343*b551 + 7*b343*b553 + 3*b343*b561 + 15*b343*b566
      + 25*b343*b567 + 21*b343*b568 + 3*b343*b570 + 6*b343*b571 + 15*b343*b572
      + 35*b343*b573 + 36*b343*b575 + 18*b343*b576 + 20*b343*b577 + 27*b343*
     b579 + 8*b343*b580 + 33*b343*b582 + 4*b343*b585 + 16*b343*b588 + 16*b343*
     b592 + 27*b343*b593 + 7*b343*b595 + 2*b343*b596 + 22*b343*b597 + 17*b343*
     b607 + 11*b343*b612 + 28*b343*b613 + 7*b343*b615 + 33*b344*b511 + 15*b344*
     b512 + 120*b344*b513 + 24*b344*b514 + 8*b344*b515 + 76*b344*b516 + 51*b344
     *b519 + 3*b344*b520 + 2*b344*b521 + 46*b344*b522 + 61*b344*b527 + 22*b344*
     b534 + 61*b344*b538 + 27*b344*b539 + 13*b344*b541 + 53*b344*b542 + 13*b344
     *b545 + 5*b344*b546 + 52*b344*b547 + 2*b344*b550 + 19*b344*b551 + 23*b344*
     b552 + 6*b344*b555 + 37*b344*b556 + 53*b344*b557 + 29*b344*b559 + 52*b344*
     b560 + 7*b344*b561 + 29*b344*b563 + 39*b344*b564 + 154*b344*b565 + 115*
     b344*b566 + 103*b344*b567 + 35*b344*b569 + 25*b344*b573 + 9*b344*b575 + 11
     *b344*b578 + 17*b344*b579 + 20*b344*b580 + 135*b344*b581 + 57*b344*b583 + 
     378*b344*b584 + 8*b344*b586 + 55*b344*b588 + 73*b344*b591 + 39*b344*b595
      + 28*b344*b596 + 62*b344*b599 + 54*b344*b601 + 41*b344*b602 + 55*b344*
     b603 + 121*b344*b611 + 9*b344*b613 + 18*b344*b615 + 47*b345*b511 + 67*b345
     *b512 + 49*b345*b515 + 59*b345*b516 + 10*b345*b519 + 15*b345*b520 + 9*b345
     *b521 + 18*b345*b523 + 18*b345*b533 + 92*b345*b534 + 22*b345*b536 + 107*
     b345*b538 + 35*b345*b539 + 53*b345*b540 + 35*b345*b541 + 35*b345*b542 + 21
     *b345*b546 + 102*b345*b548 + 32*b345*b551 + 28*b345*b553 + 26*b345*b555 + 
     87*b345*b556 + 13*b345*b557 + 11*b345*b558 + 41*b345*b559 + 14*b345*b562
      + 112*b345*b564 + 150*b345*b565 + 185*b345*b566 + 158*b345*b567 + 46*b345
     *b571 + 36*b345*b574 + 29*b345*b579 + 8*b345*b580 + 5*b345*b581 + 9*b345*
     b582 + 55*b345*b585 + 4*b345*b589 + 74*b345*b590 + 92*b345*b591 + b345*
     b592 + 67*b345*b595 + 3*b345*b597 + 39*b345*b599 + 10*b345*b605 + 12*b345*
     b606 + b345*b607 + 59*b345*b608 + 23*b345*b611 + 12*b345*b615 + 97*b345*
     b616 + 24*b345*b617 + 85*b345*b618 + 13*b346*b513 + 7*b346*b514 + 29*b346*
     b519 + 26*b346*b521 + 25*b346*b522 + 4*b346*b524 + 6*b346*b525 + 65*b346*
     b526 + 10*b346*b527 + 149*b346*b529 + 81*b346*b531 + b346*b532 + 45*b346*
     b534 + 33*b346*b541 + 46*b346*b542 + 11*b346*b543 + b346*b544 + 9*b346*
     b545 + 4*b346*b547 + 129*b346*b550 + 4*b346*b555 + 8*b346*b556 + 13*b346*
     b571 + 37*b346*b572 + 8*b346*b576 + 19*b346*b579 + 2*b346*b580 + 5*b346*
     b582 + 25*b346*b583 + 37*b346*b589 + 12*b346*b592 + 21*b346*b593 + 26*b346
     *b594 + 26*b346*b595 + 9*b346*b598 + 96*b346*b599 + 76*b346*b602 + 40*b346
     *b607 + 17*b346*b611 + 4*b346*b613 + 35*b346*b616 + 29*b347*b511 + 25*b347
     *b513 + 18*b347*b514 + 5*b347*b516 + 13*b347*b517 + 6*b347*b519 + 89*b347*
     b526 + 7*b347*b529 + 71*b347*b530 + 3*b347*b533 + 14*b347*b537 + 12*b347*
     b538 + 80*b347*b544 + 13*b347*b545 + 13*b347*b548 + 33*b347*b551 + 46*b347
     *b554 + 3*b347*b557 + 11*b347*b558 + 28*b347*b560 + 2*b347*b561 + 40*b347*
     b563 + 24*b347*b564 + 60*b347*b567 + 37*b347*b568 + 32*b347*b569 + 19*b347
     *b573 + 11*b347*b575 + 6*b347*b576 + 2*b347*b579 + 7*b347*b582 + 6*b347*
     b583 + 8*b347*b584 + 61*b347*b585 + 30*b347*b586 + 23*b347*b587 + 13*b347*
     b591 + 3*b347*b593 + 4*b347*b595 + 8*b347*b596 + 123*b347*b598 + 28*b347*
     b599 + 16*b347*b602 + 15*b347*b603 + 30*b347*b604 + 25*b347*b605 + 76*b347
     *b609 + 83*b347*b610 + 43*b347*b611 + 2*b347*b613 + 7*b347*b614 + 34*b347*
     b617 + 43*b348*b519 + 26*b348*b522 + 15*b348*b523 + 36*b348*b524 + 56*b348
     *b525 + 48*b348*b528 + 30*b348*b530 + 21*b348*b532 + 39*b348*b533 + 11*
     b348*b534 + 57*b348*b538 + 9*b348*b539 + 36*b348*b542 + 47*b348*b543 + 16*
     b348*b545 + 3*b348*b546 + 43*b348*b547 + 29*b348*b549 + 9*b348*b550 + 11*
     b348*b552 + 4*b348*b554 + 24*b348*b556 + 17*b348*b560 + 66*b348*b561 + 42*
     b348*b562 + 191*b348*b565 + 15*b348*b569 + 237*b348*b570 + 90*b348*b571 + 
     3*b348*b572 + 40*b348*b578 + 3*b348*b580 + b348*b582 + 21*b348*b583 + 39*
     b348*b587 + 30*b348*b593 + 6*b348*b595 + 3*b348*b601 + 17*b348*b602 + 48*
     b348*b603 + 22*b348*b608 + 4*b348*b612 + 21*b348*b613 + 33*b348*b614 + 48*
     b348*b618 + 26*b349*b514 + 8*b349*b520 + 19*b349*b524 + 59*b349*b525 + 8*
     b349*b527 + 6*b349*b528 + 6*b349*b530 + 57*b349*b532 + 65*b349*b534 + 7*
     b349*b536 + 4*b349*b538 + 84*b349*b540 + 18*b349*b542 + 26*b349*b543 + 74*
     b349*b546 + 20*b349*b548 + 95*b349*b549 + 49*b349*b550 + 2*b349*b553 + 27*
     b349*b554 + 33*b349*b556 + 131*b349*b558 + 65*b349*b561 + 22*b349*b563 + 
     52*b349*b564 + 9*b349*b565 + 103*b349*b566 + 90*b349*b567 + 64*b349*b571
      + 7*b349*b573 + 22*b349*b576 + 24*b349*b580 + 300*b349*b585 + 9*b349*b589
      + 97*b349*b590 + 134*b349*b595 + 12*b349*b597 + 49*b349*b602 + 33*b349*
     b606 + 36*b349*b611 + 61*b349*b614 + 122*b349*b618 + 31*b350*b512 + 38*
     b350*b513 + 36*b350*b514 + 6*b350*b515 + 27*b350*b516 + 19*b350*b517 + 10*
     b350*b518 + 15*b350*b519 + 16*b350*b520 + 37*b350*b524 + 8*b350*b526 + 14*
     b350*b527 + 7*b350*b529 + 4*b350*b530 + 14*b350*b531 + 36*b350*b532 + 29*
     b350*b533 + 11*b350*b534 + 9*b350*b535 + 50*b350*b536 + 89*b350*b537 + 14*
     b350*b539 + 2*b350*b547 + 3*b350*b548 + 9*b350*b551 + 39*b350*b557 + 7*
     b350*b567 + 101*b350*b572 + 47*b350*b573 + 31*b350*b574 + b350*b575 + 5*
     b350*b576 + 25*b350*b577 + 183*b350*b578 + 26*b350*b579 + 34*b350*b581 + 
     12*b350*b582 + 7*b350*b583 + 5*b350*b585 + b350*b586 + 30*b350*b593 + 12*
     b350*b597 + 14*b350*b598 + 6*b350*b599 + 9*b350*b602 + 13*b350*b609 + 21*
     b350*b611 + 18*b350*b612 + 26*b350*b614 + 32*b350*b616 + 38*b350*b617 + 9*
     b350*b618 + 19*b351*b511 + 24*b351*b513 + 16*b351*b515 + 5*b351*b517 + 2*
     b351*b521 + 13*b351*b522 + 106*b351*b524 + 70*b351*b526 + 14*b351*b528 + 9
     *b351*b529 + 4*b351*b530 + 39*b351*b531 + 116*b351*b533 + 36*b351*b536 + 
     42*b351*b537 + 28*b351*b540 + 20*b351*b541 + 57*b351*b542 + 15*b351*b543
      + 17*b351*b545 + 4*b351*b550 + 9*b351*b551 + 40*b351*b553 + 70*b351*b557
      + 31*b351*b559 + 9*b351*b561 + 7*b351*b563 + 233*b351*b566 + 12*b351*b571
      + 136*b351*b572 + 6*b351*b575 + 20*b351*b576 + 61*b351*b578 + 31*b351*
     b581 + 11*b351*b582 + 9*b351*b583 + 113*b351*b584 + 139*b351*b585 + 11*
     b351*b586 + 6*b351*b588 + 31*b351*b590 + 22*b351*b591 + 5*b351*b592 + 24*
     b351*b594 + 4*b351*b595 + 16*b351*b597 + 37*b351*b598 + b351*b599 + 67*
     b351*b600 + 21*b351*b601 + 50*b351*b603 + 17*b351*b604 + 15*b351*b605 + 39
     *b351*b608 + 84*b351*b609 + 41*b351*b611 + 2*b351*b612 + 35*b351*b614 + 
     140*b351*b615 + 35*b351*b617 + 34*b351*b618 + 10*b352*b511 + 13*b352*b512
      + 16*b352*b514 + 38*b352*b515 + 69*b352*b516 + 21*b352*b520 + 6*b352*b521
      + 2*b352*b522 + b352*b523 + 38*b352*b524 + 21*b352*b525 + 21*b352*b527 + 
     4*b352*b528 + 26*b352*b529 + 51*b352*b530 + 27*b352*b531 + 152*b352*b532
      + 35*b352*b533 + 9*b352*b536 + 7*b352*b537 + 12*b352*b539 + 18*b352*b544
      + 17*b352*b555 + 36*b352*b556 + 14*b352*b558 + 20*b352*b563 + 21*b352*
     b568 + 43*b352*b571 + 18*b352*b572 + 4*b352*b574 + 3*b352*b575 + 15*b352*
     b576 + 37*b352*b577 + 17*b352*b578 + 22*b352*b579 + b352*b580 + 66*b352*
     b581 + 42*b352*b582 + 9*b352*b583 + 17*b352*b584 + 21*b352*b586 + 103*b352
     *b597 + 33*b352*b599 + 14*b352*b601 + 2*b352*b602 + 12*b352*b605 + 12*b352
     *b610 + 52*b352*b611 + 34*b352*b612 + b352*b613 + 5*b352*b615 + 36*b352*
     b616 + 11*b352*b617 + 10*b352*b618 + 22*b353*b513 + 9*b353*b514 + 113*b353
     *b516 + 9*b353*b519 + 23*b353*b521 + 14*b353*b523 + 19*b353*b526 + 23*b353
     *b527 + 11*b353*b531 + 20*b353*b532 + 23*b353*b533 + 35*b353*b536 + 27*
     b353*b537 + 125*b353*b538 + 10*b353*b539 + 66*b353*b543 + 25*b353*b549 + 
     18*b353*b551 + 7*b353*b553 + 30*b353*b556 + 40*b353*b558 + 3*b353*b559 + 
     82*b353*b561 + 23*b353*b572 + 43*b353*b573 + 29*b353*b574 + 8*b353*b576 + 
     13*b353*b577 + 25*b353*b578 + 52*b353*b582 + 258*b353*b584 + 171*b353*b585
      + 11*b353*b587 + 73*b353*b591 + 26*b353*b594 + 68*b353*b595 + 44*b353*
     b597 + 33*b353*b598 + 40*b353*b602 + 66*b353*b604 + 22*b353*b605 + 135*
     b353*b609 + 42*b353*b610 + 21*b353*b612 + 23*b353*b614 + 7*b353*b615 + 12*
     b353*b616 + 79*b353*b618 + 3*b354*b513 + 53*b354*b515 + 12*b354*b516 + 35*
     b354*b517 + 17*b354*b518 + 3*b354*b519 + 67*b354*b520 + 4*b354*b521 + 18*
     b354*b527 + 40*b354*b530 + 21*b354*b532 + 9*b354*b535 + 31*b354*b538 + 7*
     b354*b539 + 17*b354*b540 + 29*b354*b542 + 36*b354*b543 + b354*b544 + 67*
     b354*b546 + 18*b354*b551 + 34*b354*b552 + 15*b354*b554 + 7*b354*b555 + 29*
     b354*b556 + 22*b354*b557 + 115*b354*b559 + 20*b354*b560 + 5*b354*b561 + 3*
     b354*b562 + 37*b354*b565 + 103*b354*b569 + 95*b354*b570 + b354*b575 + 54*
     b354*b576 + 19*b354*b578 + 24*b354*b580 + 14*b354*b583 + 77*b354*b584 + 15
     *b354*b587 + 57*b354*b590 + 21*b354*b591 + 32*b354*b592 + 31*b354*b593 + 
     67*b354*b594 + 15*b354*b595 + 26*b354*b596 + 6*b354*b598 + 14*b354*b599 + 
     86*b354*b600 + 55*b354*b601 + 120*b354*b603 + 7*b354*b604 + 7*b354*b605 + 
     5*b354*b606 + 26*b354*b607 + 14*b354*b608 + 102*b354*b610 + 16*b354*b611
      + 11*b354*b614 + 14*b354*b615 + 5*b354*b616 + 55*b354*b618 + 49*b355*b511
      + 48*b355*b515 + 162*b355*b516 + 6*b355*b517 + 11*b355*b518 + 3*b355*b520
      + 58*b355*b522 + 10*b355*b531 + 12*b355*b532 + 10*b355*b534 + 28*b355*
     b536 + 22*b355*b537 + 131*b355*b538 + b355*b541 + 15*b355*b542 + 62*b355*
     b544 + 31*b355*b545 + 6*b355*b551 + 9*b355*b553 + 13*b355*b554 + 13*b355*
     b555 + 9*b355*b556 + 5*b355*b558 + 31*b355*b560 + 23*b355*b561 + 45*b355*
     b562 + 12*b355*b564 + 77*b355*b567 + 242*b355*b570 + 179*b355*b571 + 2*
     b355*b575 + b355*b578 + b355*b582 + 55*b355*b583 + 376*b355*b584 + 25*b355
     *b586 + 53*b355*b590 + 23*b355*b592 + 48*b355*b596 + 23*b355*b600 + 9*b355
     *b601 + 19*b355*b607 + 19*b355*b612 + 79*b355*b613 + 14*b355*b614 + 36*
     b355*b615 + 19*b356*b512 + 37*b356*b516 + 5*b356*b521 + 20*b356*b523 + 16*
     b356*b524 + 41*b356*b525 + 5*b356*b526 + b356*b528 + 2*b356*b535 + 10*b356
     *b538 + b356*b539 + 65*b356*b540 + 6*b356*b544 + 39*b356*b545 + 119*b356*
     b546 + 7*b356*b547 + 55*b356*b548 + 27*b356*b549 + 165*b356*b550 + 39*b356
     *b551 + 14*b356*b552 + 89*b356*b554 + 65*b356*b558 + 36*b356*b560 + 27*
     b356*b564 + 28*b356*b565 + 218*b356*b566 + 265*b356*b567 + 16*b356*b572 + 
     7*b356*b573 + 45*b356*b577 + 11*b356*b578 + 24*b356*b579 + 92*b356*b586 + 
     10*b356*b588 + 134*b356*b590 + 7*b356*b591 + 20*b356*b592 + 2*b356*b594 + 
     30*b356*b595 + 45*b356*b596 + b356*b597 + 8*b356*b598 + 50*b356*b600 + 45*
     b356*b602 + 81*b356*b603 + 114*b356*b604 + 31*b356*b605 + 12*b356*b606 + 
     188*b356*b610 + 15*b356*b613 + b356*b616 + 46*b357*b511 + 46*b357*b512 + 7
     *b357*b514 + b357*b515 + 23*b357*b516 + 13*b357*b517 + 95*b357*b518 + 12*
     b357*b522 + 10*b357*b527 + 22*b357*b529 + 16*b357*b531 + 14*b357*b532 + 23
     *b357*b533 + 55*b357*b534 + 19*b357*b535 + 5*b357*b538 + 2*b357*b542 + 
     b357*b545 + 9*b357*b547 + 37*b357*b548 + 44*b357*b554 + 58*b357*b556 + 29*
     b357*b557 + 5*b357*b558 + 26*b357*b559 + 66*b357*b564 + 187*b357*b565 + 
     123*b357*b567 + 6*b357*b574 + 20*b357*b580 + 53*b357*b583 + 31*b357*b584
      + 2*b357*b586 + 5*b357*b589 + 62*b357*b591 + 37*b357*b592 + 18*b357*b596
      + 30*b357*b598 + 48*b357*b599 + 42*b357*b602 + 43*b357*b605 + 34*b357*
     b608 + 23*b357*b611 + 2*b357*b612 + 54*b357*b614 + 56*b357*b615 + 38*b357*
     b616 + 19*b357*b617 + 24*b357*b618 + 9*b358*b513 + 3*b358*b514 + 25*b358*
     b515 + 13*b358*b517 + 25*b358*b525 + 51*b358*b526 + 64*b358*b527 + 41*b358
     *b528 + 30*b358*b532 + 2*b358*b534 + 84*b358*b538 + 22*b358*b539 + 6*b358*
     b541 + 53*b358*b543 + 20*b358*b544 + 42*b358*b550 + 34*b358*b552 + 11*b358
     *b556 + 48*b358*b557 + b358*b558 + 24*b358*b559 + 60*b358*b560 + 54*b358*
     b561 + 86*b358*b562 + 97*b358*b564 + 67*b358*b565 + 23*b358*b572 + 24*b358
     *b577 + 44*b358*b578 + 8*b358*b579 + b358*b580 + 8*b358*b583 + 37*b358*
     b584 + 179*b358*b585 + 44*b358*b587 + 7*b358*b590 + 96*b358*b591 + 31*b358
     *b592 + 45*b358*b598 + 47*b358*b602 + 17*b358*b603 + 3*b358*b604 + 28*b358
     *b605 + 21*b358*b607 + 26*b358*b609 + 211*b358*b610 + 61*b358*b611 + 8*
     b358*b612 + 13*b358*b615 + 2*b358*b617 + b358*b618 + 16*b359*b512 + 28*
     b359*b513 + 13*b359*b514 + 21*b359*b515 + 25*b359*b516 + 20*b359*b517 + 10
     *b359*b518 + 61*b359*b519 + 12*b359*b520 + 88*b359*b521 + 66*b359*b524 + 4
     *b359*b525 + 6*b359*b527 + 45*b359*b528 + 6*b359*b529 + 16*b359*b530 + 16*
     b359*b531 + 23*b359*b532 + 8*b359*b534 + 32*b359*b535 + 6*b359*b536 + 10*
     b359*b537 + 39*b359*b539 + 3*b359*b547 + 34*b359*b553 + 8*b359*b564 + 2*
     b359*b566 + 7*b359*b567 + 12*b359*b569 + 11*b359*b570 + 34*b359*b571 + 80*
     b359*b573 + 15*b359*b574 + 16*b359*b575 + 29*b359*b576 + 43*b359*b578 + 60
     *b359*b579 + 35*b359*b581 + 55*b359*b582 + 8*b359*b583 + 8*b359*b589 + 39*
     b359*b592 + 52*b359*b596 + 13*b359*b599 + 30*b359*b601 + 11*b359*b602 + 4*
     b359*b606 + 5*b359*b609 + 8*b359*b611 + 22*b359*b612 + 8*b359*b614 + 14*
     b359*b615 + 36*b359*b616 + 13*b359*b618 + 45*b360*b511 + 147*b360*b512 + 
     19*b360*b513 + 53*b360*b514 + 29*b360*b515 + 102*b360*b518 + 24*b360*b522
      + 27*b360*b524 + 3*b360*b525 + 197*b360*b527 + 36*b360*b532 + 97*b360*
     b535 + 19*b360*b537 + 48*b360*b538 + 14*b360*b539 + 18*b360*b541 + 79*b360
     *b543 + 16*b360*b549 + 25*b360*b551 + 30*b360*b552 + 18*b360*b555 + 8*b360
     *b557 + 21*b360*b558 + 41*b360*b559 + 4*b360*b560 + 86*b360*b562 + 13*b360
     *b563 + 45*b360*b564 + 190*b360*b570 + 11*b360*b574 + 44*b360*b576 + 19*
     b360*b583 + 211*b360*b584 + 257*b360*b585 + 66*b360*b586 + 80*b360*b591 + 
     5*b360*b594 + 42*b360*b597 + 7*b360*b601 + 22*b360*b604 + 10*b360*b606 + 
     b360*b607 + 11*b360*b608 + 37*b360*b609 + 3*b360*b611 + b360*b617 + 2*b361
     *b521 + 36*b361*b522 + 6*b361*b523 + 75*b361*b524 + 20*b361*b525 + 19*b361
     *b528 + 16*b361*b529 + 3*b361*b535 + 48*b361*b538 + 3*b361*b539 + 11*b361*
     b540 + 108*b361*b542 + 69*b361*b543 + 38*b361*b545 + 34*b361*b546 + 5*b361
     *b547 + 74*b361*b548 + 51*b361*b549 + 29*b361*b550 + 5*b361*b551 + 23*b361
     *b555 + 43*b361*b557 + 26*b361*b559 + 83*b361*b562 + 48*b361*b564 + 128*
     b361*b565 + 136*b361*b566 + 164*b361*b567 + b361*b568 + 66*b361*b569 + 34*
     b361*b571 + 3*b361*b573 + 10*b361*b574 + 15*b361*b575 + 18*b361*b576 + 11*
     b361*b579 + 4*b361*b580 + 15*b361*b582 + 55*b361*b583 + 55*b361*b584 + 31*
     b361*b585 + 43*b361*b586 + 7*b361*b593 + 60*b361*b596 + 58*b361*b598 + 28*
     b361*b599 + 4*b361*b603 + 8*b361*b604 + 57*b361*b605 + 2*b361*b607 + 106*
     b361*b608 + 12*b361*b612 + 31*b361*b614 + 36*b361*b615 + 90*b361*b616 + 
     101*b361*b617 + 9*b362*b513 + 2*b362*b518 + 16*b362*b520 + 42*b362*b521 + 
     30*b362*b522 + 33*b362*b523 + 51*b362*b524 + 9*b362*b525 + 36*b362*b528 + 
     36*b362*b530 + 13*b362*b532 + 64*b362*b536 + 2*b362*b538 + 103*b362*b539
      + 11*b362*b541 + 23*b362*b545 + 14*b362*b548 + 61*b362*b549 + 168*b362*
     b553 + 26*b362*b554 + 9*b362*b555 + 49*b362*b556 + 21*b362*b558 + 2*b362*
     b560 + 5*b362*b561 + 25*b362*b564 + 144*b362*b566 + 140*b362*b568 + 37*
     b362*b570 + 83*b362*b572 + 17*b362*b574 + b362*b576 + 30*b362*b577 + 21*
     b362*b581 + 4*b362*b587 + 11*b362*b590 + 99*b362*b592 + 27*b362*b593 + 23*
     b362*b594 + 138*b362*b596 + 8*b362*b600 + 39*b362*b602 + 14*b362*b605 + 
     212*b362*b609 + 141*b362*b610 + 26*b362*b613 + 30*b362*b615 + 7*b362*b616
      + 3*b362*b618 + 39*b363*b511 + 37*b363*b512 + 38*b363*b515 + 11*b363*b516
      + 7*b363*b518 + 13*b363*b527 + 6*b363*b528 + 22*b363*b532 + 7*b363*b535
      + 7*b363*b537 + 27*b363*b538 + 13*b363*b540 + 11*b363*b546 + 36*b363*b547
      + 52*b363*b548 + 9*b363*b550 + b363*b551 + 18*b363*b552 + 4*b363*b555 + 
     27*b363*b558 + 38*b363*b559 + 28*b363*b560 + 28*b363*b564 + 21*b363*b565
      + 58*b363*b566 + 96*b363*b567 + 6*b363*b568 + 23*b363*b570 + 6*b363*b578
      + 13*b363*b580 + 6*b363*b581 + 45*b363*b583 + 19*b363*b586 + 56*b363*b590
      + 42*b363*b595 + 54*b363*b599 + 6*b363*b602 + 17*b363*b603 + 18*b363*b611
      + 21*b363*b613 + 4*b363*b614 + 8*b363*b615 + 21*b363*b616 + 19*b363*b617
      + 37*b363*b618 + 6*b364*b517 + 26*b364*b521 + 48*b364*b529 + 5*b364*b532
      + 3*b364*b533 + 10*b364*b535 + 149*b364*b537 + 10*b364*b538 + 5*b364*b543
      + 2*b364*b547 + 14*b364*b548 + 18*b364*b549 + 13*b364*b551 + b364*b557 + 
     4*b364*b558 + 5*b364*b561 + 5*b364*b562 + 147*b364*b566 + 3*b364*b572 + 9*
     b364*b574 + 3*b364*b575 + 16*b364*b578 + 4*b364*b579 + 37*b364*b584 + 19*
     b364*b586 + 9*b364*b587 + 92*b364*b589 + 20*b364*b595 + 43*b364*b599 + 
     b364*b603 + 4*b364*b605 + 49*b364*b606 + 12*b364*b608 + 119*b364*b610 + 5*
     b364*b614 + 15*b364*b615 + b365*b511 + 50*b365*b517 + 35*b365*b521 + 44*
     b365*b522 + 41*b365*b525 + 40*b365*b526 + 35*b365*b527 + 18*b365*b528 + 35
     *b365*b529 + 6*b365*b530 + 26*b365*b531 + 15*b365*b533 + 51*b365*b538 + 23
     *b365*b542 + 54*b365*b543 + 4*b365*b544 + 37*b365*b545 + 75*b365*b549 + 6*
     b365*b558 + 44*b365*b560 + 56*b365*b561 + 29*b365*b564 + 116*b365*b565 + 
     46*b365*b566 + 139*b365*b567 + 107*b365*b569 + 11*b365*b572 + 27*b365*b573
      + 56*b365*b575 + 56*b365*b576 + 9*b365*b577 + 5*b365*b580 + 55*b365*b583
      + 31*b365*b585 + 27*b365*b586 + 15*b365*b587 + 33*b365*b589 + 76*b365*
     b591 + 16*b365*b592 + 6*b365*b593 + 124*b365*b594 + 17*b365*b596 + 59*b365
     *b602 + 21*b365*b603 + 32*b365*b604 + 4*b365*b607 + 12*b365*b608 + 69*b365
     *b609 + 67*b365*b612 + 37*b365*b614 + 4*b366*b517 + 9*b366*b520 + 2*b366*
     b523 + 48*b366*b525 + 5*b366*b526 + 44*b366*b536 + 16*b366*b537 + 14*b366*
     b540 + 8*b366*b545 + 40*b366*b546 + 15*b366*b549 + 16*b366*b550 + 19*b366*
     b557 + 107*b366*b566 + 83*b366*b567 + 98*b366*b568 + 17*b366*b569 + 255*
     b366*b570 + 31*b366*b571 + 38*b366*b574 + 3*b366*b578 + 92*b366*b581 + 12*
     b366*b582 + 11*b366*b587 + 12*b366*b588 + 12*b366*b592 + 76*b366*b597 + 4*
     b366*b600 + 20*b366*b601 + 6*b366*b602 + 31*b366*b606 + 194*b366*b611 + 20
     *b366*b613 + 37*b366*b617 + 23*b366*b618 + 3*b367*b512 + 31*b367*b515 + 19
     *b367*b516 + 109*b367*b517 + 3*b367*b518 + 22*b367*b519 + 126*b367*b520 + 
     4*b367*b521 + 67*b367*b522 + 38*b367*b523 + 18*b367*b524 + 166*b367*b525
      + 28*b367*b531 + 32*b367*b534 + 43*b367*b535 + 5*b367*b537 + 3*b367*b538
      + 15*b367*b541 + 21*b367*b543 + 4*b367*b544 + 6*b367*b547 + 77*b367*b548
      + 31*b367*b550 + 67*b367*b551 + 38*b367*b553 + 18*b367*b564 + 132*b367*
     b566 + 139*b367*b567 + 6*b367*b572 + 2*b367*b575 + 22*b367*b577 + 15*b367*
     b580 + 6*b367*b582 + 19*b367*b586 + 6*b367*b587 + 35*b367*b590 + 9*b367*
     b595 + 2*b367*b596 + 86*b367*b599 + 97*b367*b600 + 58*b367*b602 + 39*b367*
     b603 + 8*b367*b605 + 174*b367*b610 + 33*b367*b612 + 32*b367*b614 + 28*b367
     *b616 + 115*b368*b511 + 10*b368*b515 + 24*b368*b516 + 32*b368*b517 + 14*
     b368*b518 + 31*b368*b520 + 169*b368*b521 + 63*b368*b522 + 52*b368*b523 + 7
     *b368*b524 + 32*b368*b525 + 17*b368*b526 + 33*b368*b527 + 29*b368*b528 + 
     35*b368*b529 + 17*b368*b532 + 18*b368*b535 + 48*b368*b538 + 8*b368*b539 + 
     43*b368*b540 + 46*b368*b541 + 20*b368*b542 + 74*b368*b545 + 12*b368*b546
      + 6*b368*b547 + 47*b368*b548 + 4*b368*b550 + 19*b368*b554 + 114*b368*b557
      + 2*b368*b558 + 5*b368*b559 + 25*b368*b560 + 51*b368*b561 + 52*b368*b564
      + 193*b368*b565 + 228*b368*b567 + 54*b368*b568 + 146*b368*b569 + 16*b368*
     b570 + 10*b368*b572 + 35*b368*b574 + 26*b368*b575 + 8*b368*b577 + 2*b368*
     b579 + 24*b368*b580 + 153*b368*b583 + 79*b368*b584 + 3*b368*b586 + 19*b368
     *b588 + 52*b368*b591 + 18*b368*b592 + 18*b368*b596 + 18*b368*b598 + 23*
     b368*b599 + 8*b368*b600 + 8*b368*b601 + 41*b368*b602 + 8*b368*b603 + 16*
     b368*b604 + 57*b368*b606 + 6*b368*b607 + 11*b368*b608 + 16*b368*b612 + 54*
     b368*b613 + 32*b368*b614 + 20*b368*b615 + 12*b368*b617 + 19*b369*b511 + 47
     *b369*b514 + 148*b369*b515 + 5*b369*b516 + 92*b369*b518 + 53*b369*b519 + 
     21*b369*b522 + 38*b369*b524 + 11*b369*b525 + 36*b369*b527 + 13*b369*b528
      + 32*b369*b530 + 31*b369*b532 + 45*b369*b533 + 11*b369*b534 + 37*b369*
     b535 + 115*b369*b538 + 10*b369*b540 + 47*b369*b541 + 149*b369*b543 + 13*
     b369*b547 + 6*b369*b551 + 38*b369*b557 + 6*b369*b558 + 14*b369*b560 + 78*
     b369*b562 + 11*b369*b564 + 181*b369*b565 + 108*b369*b570 + 23*b369*b571 + 
     10*b369*b572 + 57*b369*b573 + 13*b369*b578 + 35*b369*b580 + 3*b369*b582 + 
     86*b369*b583 + 113*b369*b584 + 177*b369*b585 + 9*b369*b586 + 12*b369*b587
      + 35*b369*b590 + 18*b369*b592 + 5*b369*b603 + b369*b604 + 11*b369*b605 + 
     15*b369*b608 + 248*b369*b610 + 49*b369*b612 + 20*b369*b614 + 55*b370*b511
      + 17*b370*b515 + 114*b370*b516 + 42*b370*b518 + 42*b370*b521 + 66*b370*
     b522 + 12*b370*b525 + 19*b370*b530 + 23*b370*b535 + 111*b370*b538 + 55*
     b370*b540 + 45*b370*b541 + 48*b370*b546 + 16*b370*b551 + 51*b370*b552 + 35
     *b370*b555 + 20*b370*b556 + 14*b370*b557 + 66*b370*b558 + 37*b370*b559 + 
     101*b370*b560 + 69*b370*b564 + b370*b565 + 24*b370*b566 + 219*b370*b567 + 
     189*b370*b570 + 7*b370*b579 + 4*b370*b583 + 26*b370*b586 + 36*b370*b588 + 
     55*b370*b590 + 32*b370*b595 + 9*b370*b596 + 38*b370*b597 + 8*b370*b600 + 
     49*b370*b601 + 68*b370*b603 + 2*b370*b604 + 33*b370*b606 + 55*b370*b608 + 
     34*b370*b609 + 105*b370*b610 + 47*b370*b616 + 11*b371*b512 + 9*b371*b513
      + 18*b371*b516 + 13*b371*b517 + 19*b371*b518 + 164*b371*b519 + 101*b371*
     b520 + 21*b371*b524 + b371*b526 + 12*b371*b533 + 22*b371*b534 + 22*b371*
     b535 + 59*b371*b536 + 15*b371*b538 + 37*b371*b539 + 5*b371*b540 + b371*
     b543 + 15*b371*b545 + 7*b371*b546 + 20*b371*b549 + 63*b371*b551 + 7*b371*
     b554 + 64*b371*b559 + 5*b371*b561 + 40*b371*b565 + 58*b371*b568 + 134*b371
     *b569 + 78*b371*b570 + 20*b371*b573 + 3*b371*b575 + 4*b371*b579 + 5*b371*
     b581 + 95*b371*b585 + 14*b371*b586 + 2*b371*b593 + 8*b371*b595 + 11*b371*
     b596 + 14*b371*b597 + 8*b371*b601 + 34*b371*b603 + 2*b371*b605 + 47*b371*
     b606 + 3*b371*b612 + 31*b371*b614 + 6*b371*b615 + 2*b371*b616 + 14*b371*
     b617 + 22*b372*b514 + b372*b516 + 6*b372*b517 + 48*b372*b521 + 5*b372*b524
      + 14*b372*b525 + 31*b372*b526 + 76*b372*b527 + 11*b372*b529 + 115*b372*
     b530 + b372*b531 + 65*b372*b532 + 35*b372*b533 + 50*b372*b536 + 11*b372*
     b537 + 24*b372*b539 + 8*b372*b540 + 5*b372*b541 + 93*b372*b544 + 21*b372*
     b546 + 21*b372*b547 + 58*b372*b548 + 10*b372*b555 + 19*b372*b556 + 8*b372*
     b559 + 46*b372*b565 + 191*b372*b567 + 64*b372*b568 + 187*b372*b570 + 36*
     b372*b571 + 55*b372*b572 + 19*b372*b574 + 24*b372*b576 + 102*b372*b585 + 5
     *b372*b592 + 28*b372*b593 + 38*b372*b596 + 54*b372*b598 + 23*b372*b603 + 
     49*b372*b605 + 9*b372*b607 + 144*b372*b610 + b372*b611 + 46*b372*b612 + 8*
     b372*b613 + 21*b372*b614 + 18*b373*b512 + 14*b373*b513 + 17*b373*b515 + 25
     *b373*b516 + 16*b373*b517 + 12*b373*b518 + 25*b373*b521 + 80*b373*b524 + 
     20*b373*b525 + 33*b373*b528 + 13*b373*b529 + 38*b373*b530 + 9*b373*b531 + 
     b373*b532 + 7*b373*b533 + 3*b373*b534 + 7*b373*b535 + 55*b373*b536 + 46*
     b373*b544 + b373*b553 + 14*b373*b554 + 12*b373*b568 + 46*b373*b570 + 16*
     b373*b571 + 58*b373*b572 + 3*b373*b573 + 16*b373*b574 + 11*b373*b575 + 23*
     b373*b576 + 125*b373*b578 + 30*b373*b579 + 16*b373*b581 + 16*b373*b582 + 
     11*b373*b588 + 25*b373*b592 + 4*b373*b593 + 88*b373*b596 + 13*b373*b597 + 
     45*b373*b598 + 27*b373*b599 + 22*b373*b608 + 25*b373*b611 + 3*b373*b612 + 
     7*b373*b613 + 3*b373*b614 + 6*b373*b616 + 10*b373*b617 + 2*b373*b618 + 14*
     b374*b511 + 22*b374*b513 + 46*b374*b516 + 3*b374*b517 + 67*b374*b518 + 17*
     b374*b519 + 28*b374*b520 + 14*b374*b521 + 5*b374*b522 + 5*b374*b523 + 14*
     b374*b525 + 17*b374*b526 + 14*b374*b527 + 40*b374*b528 + 26*b374*b529 + 9*
     b374*b530 + 29*b374*b531 + 19*b374*b533 + 101*b374*b535 + 2*b374*b536 + 10
     *b374*b537 + 12*b374*b541 + 10*b374*b543 + 20*b374*b544 + 37*b374*b545 + 
     16*b374*b546 + 37*b374*b547 + 5*b374*b551 + 34*b374*b553 + 22*b374*b559 + 
     14*b374*b560 + 5*b374*b562 + 43*b374*b564 + 16*b374*b568 + 135*b374*b569
      + 13*b374*b571 + 45*b374*b572 + 23*b374*b574 + 16*b374*b576 + 13*b374*
     b577 + 51*b374*b578 + 35*b374*b581 + 8*b374*b583 + 13*b374*b588 + 9*b374*
     b589 + 25*b374*b590 + 13*b374*b593 + 3*b374*b598 + b374*b599 + 36*b374*
     b601 + 8*b374*b602 + 6*b374*b604 + 10*b374*b607 + 16*b374*b608 + 23*b374*
     b611 + 68*b374*b612 + 15*b374*b613 + 31*b374*b614 + 16*b374*b616 + 23*b374
     *b617 + 55*b374*b618 + 82*b375*b512 + 47*b375*b515 + 73*b375*b517 + 60*
     b375*b519 + 20*b375*b522 + 17*b375*b525 + 3*b375*b526 + 55*b375*b527 + 17*
     b375*b528 + 15*b375*b530 + 115*b375*b534 + 63*b375*b535 + 27*b375*b538 + 
     35*b375*b539 + 128*b375*b541 + 5*b375*b542 + 83*b375*b543 + 22*b375*b547
      + 6*b375*b548 + 48*b375*b550 + 17*b375*b551 + 8*b375*b553 + 10*b375*b555
      + 37*b375*b556 + 55*b375*b558 + 5*b375*b560 + 3*b375*b561 + 11*b375*b562
      + 239*b375*b565 + 21*b375*b566 + 32*b375*b568 + 13*b375*b570 + 16*b375*
     b571 + 3*b375*b572 + 7*b375*b573 + 30*b375*b577 + 56*b375*b578 + 4*b375*
     b579 + 70*b375*b580 + 46*b375*b583 + 34*b375*b585 + 50*b375*b590 + 68*b375
     *b591 + 26*b375*b592 + 32*b375*b593 + 61*b375*b595 + 9*b375*b601 + 5*b375*
     b603 + 20*b375*b605 + 9*b375*b606 + 32*b375*b608 + 181*b375*b610 + 76*b375
     *b614 + 8*b375*b616 + 3*b375*b617 + 72*b375*b618 + 7*b376*b511 + 17*b376*
     b513 + 19*b376*b521 + 11*b376*b526 + 9*b376*b529 + 22*b376*b537 + 42*b376*
     b538 + 29*b376*b539 + 26*b376*b541 + 9*b376*b542 + 2*b376*b543 + 20*b376*
     b545 + 15*b376*b551 + 104*b376*b552 + 24*b376*b553 + 36*b376*b554 + 23*
     b376*b555 + 121*b376*b556 + 78*b376*b561 + 3*b376*b565 + 22*b376*b567 + 77
     *b376*b568 + 44*b376*b569 + 41*b376*b573 + 108*b376*b575 + 4*b376*b576 + 2
     *b376*b577 + 51*b376*b580 + 57*b376*b584 + 27*b376*b588 + 4*b376*b590 + 13
     *b376*b592 + 85*b376*b595 + 3*b376*b598 + 5*b376*b600 + 21*b376*b603 + 34*
     b376*b604 + 17*b376*b605 + 23*b376*b608 + 59*b376*b609 + 71*b376*b610 + 
     100*b376*b612 + 41*b376*b614 + 10*b376*b617 + 6*b377*b511 + 38*b377*b514
      + 51*b377*b515 + 58*b377*b516 + 6*b377*b519 + 2*b377*b522 + 32*b377*b524
      + 9*b377*b525 + 4*b377*b529 + 71*b377*b532 + 22*b377*b533 + 3*b377*b536
      + 16*b377*b537 + 55*b377*b538 + 30*b377*b539 + 31*b377*b542 + 33*b377*
     b552 + 89*b377*b554 + 58*b377*b556 + 56*b377*b560 + 25*b377*b562 + 52*b377
     *b564 + 108*b377*b568 + 106*b377*b570 + 92*b377*b574 + 36*b377*b575 + 23*
     b377*b576 + 7*b377*b578 + 146*b377*b584 + 61*b377*b585 + 46*b377*b586 + 8*
     b377*b587 + 17*b377*b593 + 32*b377*b594 + 9*b377*b596 + 23*b377*b597 + 
     b377*b600 + 21*b377*b602 + 2*b377*b604 + 34*b377*b606 + 31*b377*b607 + 
     b377*b609 + 70*b377*b612 + 4*b377*b613 + 17*b377*b615 + 7*b378*b511 + 12*
     b378*b512 + 30*b378*b514 + 2*b378*b517 + 18*b378*b524 + 37*b378*b526 + 28*
     b378*b527 + 12*b378*b529 + 29*b378*b533 + 49*b378*b536 + 51*b378*b537 + 
     109*b378*b538 + 25*b378*b539 + 6*b378*b542 + 9*b378*b543 + 57*b378*b544 + 
     3*b378*b549 + 4*b378*b552 + 20*b378*b555 + 7*b378*b556 + 84*b378*b560 + 49
     *b378*b561 + 46*b378*b562 + 72*b378*b563 + 84*b378*b564 + 34*b378*b565 + 
     235*b378*b570 + 29*b378*b571 + 54*b378*b573 + 19*b378*b574 + 36*b378*b582
      + 15*b378*b585 + 14*b378*b586 + 13*b378*b587 + 17*b378*b590 + 35*b378*
     b591 + 3*b378*b594 + 20*b378*b595 + 30*b378*b597 + 9*b378*b600 + 13*b378*
     b601 + 13*b378*b604 + 9*b378*b606 + 7*b378*b607 + 149*b378*b608 + 195*b378
     *b609 + 23*b378*b614 + 50*b378*b617 + 64*b378*b618 + 9*b379*b512 + 38*b379
     *b513 + 8*b379*b516 + 30*b379*b518 + 4*b379*b526 + 3*b379*b529 + 8*b379*
     b531 + 52*b379*b533 + 21*b379*b534 + 26*b379*b535 + 51*b379*b536 + 11*b379
     *b537 + 8*b379*b538 + 63*b379*b539 + 8*b379*b540 + 20*b379*b543 + 24*b379*
     b544 + 2*b379*b545 + 40*b379*b549 + 2*b379*b550 + 31*b379*b551 + 23*b379*
     b553 + 26*b379*b554 + 23*b379*b556 + 37*b379*b560 + 11*b379*b562 + 29*b379
     *b564 + b379*b567 + 18*b379*b568 + 27*b379*b569 + 128*b379*b572 + 14*b379*
     b574 + 52*b379*b578 + 26*b379*b581 + 2*b379*b582 + 164*b379*b584 + 17*b379
     *b586 + 63*b379*b587 + 38*b379*b589 + 35*b379*b591 + 106*b379*b592 + 153*
     b379*b596 + 26*b379*b597 + 29*b379*b598 + 9*b379*b599 + 9*b379*b600 + 157*
     b379*b601 + 24*b379*b602 + 20*b379*b603 + 13*b379*b604 + 3*b379*b606 + 19*
     b379*b608 + 35*b379*b611 + b379*b612 + 10*b379*b613 + 10*b379*b614 + 82*
     b379*b615 + 37*b379*b616 + 52*b379*b617 + 4*b379*b618 + 27*b380*b512 + 
     b380*b513 + 23*b380*b516 + 80*b380*b517 + 5*b380*b518 + 18*b380*b519 + 12*
     b380*b525 + 42*b380*b526 + b380*b528 + b380*b532 + 4*b380*b535 + 9*b380*
     b537 + 12*b380*b538 + 2*b380*b542 + 70*b380*b543 + 25*b380*b549 + 38*b380*
     b550 + 37*b380*b551 + 131*b380*b552 + 8*b380*b553 + 6*b380*b554 + 2*b380*
     b555 + 31*b380*b556 + 41*b380*b558 + 38*b380*b559 + 18*b380*b563 + 27*b380
     *b565 + 110*b380*b566 + 113*b380*b567 + 9*b380*b571 + 4*b380*b573 + 11*
     b380*b577 + 23*b380*b579 + 175*b380*b585 + 43*b380*b586 + 32*b380*b589 + 
     11*b380*b591 + 23*b380*b593 + 91*b380*b595 + 51*b380*b598 + 35*b380*b601
      + 153*b380*b603 + 12*b380*b604 + 34*b380*b605 + 29*b380*b606 + 2*b380*
     b607 + 22*b380*b608 + 102*b380*b610 + 32*b380*b611 + 95*b380*b612 + 2*b380
     *b613 + 66*b380*b614 + 5*b380*b615 + 40*b380*b616 + 29*b380*b617 + 93*b380
     *b618 + 80*b381*b511 + 19*b381*b514 + 68*b381*b515 + 90*b381*b516 + 157*
     b381*b518 + 8*b381*b520 + 19*b381*b522 + 35*b381*b523 + b381*b524 + 63*
     b381*b525 + 50*b381*b526 + 16*b381*b528 + 19*b381*b529 + 22*b381*b530 + 
     221*b381*b534 + 134*b381*b535 + 41*b381*b537 + 19*b381*b539 + 29*b381*b540
      + 2*b381*b542 + 7*b381*b546 + 111*b381*b549 + 33*b381*b550 + 10*b381*b557
      + 29*b381*b560 + 32*b381*b562 + 81*b381*b564 + 85*b381*b566 + 187*b381*
     b567 + 160*b381*b568 + 45*b381*b572 + 13*b381*b573 + 19*b381*b574 + 46*
     b381*b575 + 15*b381*b576 + 16*b381*b577 + 53*b381*b580 + 62*b381*b590 + 17
     *b381*b591 + 56*b381*b593 + 62*b381*b597 + 9*b381*b600 + 22*b381*b602 + 
     b381*b604 + 9*b381*b607 + 39*b381*b613 + 23*b381*b617 + 37*b381*b618 + 45*
     b382*b512 + 23*b382*b515 + 56*b382*b516 + 102*b382*b517 + 27*b382*b518 + 
     14*b382*b522 + 38*b382*b525 + 11*b382*b527 + 21*b382*b528 + 31*b382*b529
      + 12*b382*b530 + 11*b382*b531 + 14*b382*b535 + b382*b536 + 23*b382*b537
      + 41*b382*b538 + 45*b382*b541 + 2*b382*b542 + 24*b382*b544 + 23*b382*b548
      + 20*b382*b550 + 44*b382*b551 + 25*b382*b553 + 78*b382*b554 + 4*b382*b557
      + 31*b382*b558 + 64*b382*b560 + 74*b382*b564 + 156*b382*b566 + 111*b382*
     b567 + 163*b382*b568 + 79*b382*b569 + 19*b382*b577 + 11*b382*b579 + 2*b382
     *b588 + 7*b382*b590 + 32*b382*b593 + 14*b382*b594 + 4*b382*b596 + 12*b382*
     b597 + 27*b382*b598 + 52*b382*b599 + 12*b382*b600 + 29*b382*b601 + 12*b382
     *b602 + b382*b604 + 112*b382*b610 + 16*b382*b611 + 100*b382*b613 + 64*b382
     *b614 + 30*b382*b616 + 99*b382*b618 + 5*b383*b513 + 13*b383*b516 + 45*b383
     *b517 + 19*b383*b519 + 147*b383*b520 + 151*b383*b523 + 6*b383*b524 + 47*
     b383*b525 + 12*b383*b527 + 71*b383*b528 + 8*b383*b529 + 33*b383*b536 + 14*
     b383*b537 + 12*b383*b538 + 2*b383*b539 + 62*b383*b541 + 25*b383*b542 + 12*
     b383*b543 + 10*b383*b544 + 59*b383*b550 + 29*b383*b553 + 15*b383*b554 + 10
     *b383*b555 + 22*b383*b560 + 6*b383*b563 + 4*b383*b564 + 73*b383*b568 + 155
     *b383*b569 + 8*b383*b572 + 51*b383*b578 + 42*b383*b579 + 20*b383*b581 + 
     482*b383*b585 + 18*b383*b586 + 8*b383*b591 + 95*b383*b594 + 43*b383*b597
      + 17*b383*b598 + 25*b383*b604 + 2*b383*b605 + 34*b383*b606 + 69*b383*b609
      + 5*b383*b611 + 37*b383*b614 + 30*b383*b617 + 2*b383*b618 + 70*b384*b511
      + 132*b384*b512 + 117*b384*b515 + 64*b384*b516 + 19*b384*b518 + 11*b384*
     b521 + 27*b384*b523 + 12*b384*b524 + 34*b384*b525 + 46*b384*b526 + 31*b384
     *b527 + 21*b384*b528 + 24*b384*b529 + 6*b384*b531 + 83*b384*b534 + 7*b384*
     b535 + 8*b384*b538 + 28*b384*b539 + 49*b384*b545 + 22*b384*b547 + 29*b384*
     b548 + 24*b384*b552 + 12*b384*b554 + 24*b384*b555 + 36*b384*b556 + 57*b384
     *b557 + 14*b384*b561 + 37*b384*b563 + 72*b384*b564 + 280*b384*b565 + 85*
     b384*b567 + 104*b384*b571 + 33*b384*b579 + 42*b384*b580 + 29*b384*b583 + 
     24*b384*b585 + 6*b384*b586 + 41*b384*b589 + 87*b384*b591 + 6*b384*b596 + 
     31*b384*b599 + 37*b384*b602 + 20*b384*b603 + 4*b384*b604 + 32*b384*b605 + 
     19*b384*b606 + 19*b384*b608 + 123*b384*b609 + 23*b384*b612 + 6*b384*b614
      + 9*b384*b615 + 68*b384*b618 + 19*b385*b511 + 159*b385*b517 + 117*b385*
     b520 + 20*b385*b522 + 21*b385*b523 + 6*b385*b526 + 176*b385*b529 + 13*b385
     *b531 + b385*b532 + 9*b385*b535 + 9*b385*b538 + b385*b539 + 6*b385*b540 + 
     27*b385*b541 + 150*b385*b548 + 7*b385*b553 + 6*b385*b557 + 19*b385*b559 + 
     b385*b564 + 44*b385*b565 + 103*b385*b566 + 233*b385*b567 + 27*b385*b571 + 
     167*b385*b574 + 17*b385*b579 + 5*b385*b580 + 8*b385*b581 + b385*b583 + 39*
     b385*b586 + 7*b385*b588 + 45*b385*b589 + 34*b385*b592 + 29*b385*b596 + 142
     *b385*b599 + 66*b385*b600 + 12*b385*b608 + 171*b385*b610 + 96*b385*b612 + 
     13*b385*b613 + 79*b385*b614 + 3*b385*b615 + b385*b616 + 82*b385*b618 + 35*
     b386*b511 + 24*b386*b513 + 27*b386*b515 + 2*b386*b516 + 24*b386*b518 + 60*
     b386*b521 + 25*b386*b522 + 30*b386*b523 + 19*b386*b524 + 5*b386*b525 + 12*
     b386*b527 + 55*b386*b528 + 115*b386*b529 + 13*b386*b530 + 127*b386*b531 + 
     11*b386*b533 + 21*b386*b535 + 31*b386*b536 + 11*b386*b537 + 5*b386*b539 + 
     29*b386*b541 + 37*b386*b543 + 20*b386*b549 + 81*b386*b550 + 15*b386*b551
      + 82*b386*b552 + 45*b386*b554 + 14*b386*b555 + 49*b386*b556 + 6*b386*b559
      + 7*b386*b560 + 28*b386*b562 + 5*b386*b563 + 52*b386*b564 + 75*b386*b565
      + 147*b386*b566 + 145*b386*b567 + 138*b386*b568 + 299*b386*b569 + 40*b386
     *b572 + 84*b386*b574 + 43*b386*b575 + 52*b386*b576 + 57*b386*b581 + 23*
     b386*b582 + 19*b386*b583 + 64*b386*b585 + 31*b386*b588 + 67*b386*b589 + 16
     *b386*b591 + 6*b386*b593 + 33*b386*b595 + 43*b386*b596 + 12*b386*b597 + 30
     *b386*b598 + 29*b386*b599 + 90*b386*b602 + 106*b386*b603 + 5*b386*b605 + 
     10*b386*b606 + 35*b386*b608 + 105*b386*b610 + 58*b386*b613 + 22*b386*b615
      + 22*b387*b511 + 7*b387*b513 + 16*b387*b516 + 21*b387*b517 + 17*b387*b519
      + 5*b387*b523 + 129*b387*b524 + 70*b387*b526 + 34*b387*b527 + 28*b387*
     b532 + 89*b387*b533 + 8*b387*b534 + 19*b387*b537 + 10*b387*b538 + 9*b387*
     b540 + 20*b387*b545 + 12*b387*b546 + 5*b387*b548 + 44*b387*b549 + 11*b387*
     b550 + 2*b387*b554 + 75*b387*b555 + 6*b387*b559 + 3*b387*b560 + 70*b387*
     b567 + 107*b387*b568 + 93*b387*b569 + 54*b387*b572 + 7*b387*b573 + 27*b387
     *b575 + 23*b387*b578 + 16*b387*b580 + 22*b387*b583 + 280*b387*b584 + 12*
     b387*b591 + 8*b387*b593 + 26*b387*b598 + 9*b387*b599 + 40*b387*b602 + 42*
     b387*b603 + 31*b387*b604 + 32*b387*b605 + 141*b387*b610 + 20*b387*b611 + 
     14*b387*b612 + 16*b387*b614 + 30*b387*b615 + 87*b387*b617 + b387*b618 + 13
     *b388*b511 + 8*b388*b512 + 5*b388*b515 + 36*b388*b517 + 46*b388*b521 + 43*
     b388*b523 + 26*b388*b527 + 26*b388*b530 + 23*b388*b532 + 38*b388*b534 + 10
     *b388*b537 + 28*b388*b538 + 3*b388*b539 + 3*b388*b543 + 119*b388*b548 + 27
     *b388*b549 + 9*b388*b551 + 12*b388*b552 + b388*b553 + 43*b388*b555 + 66*
     b388*b559 + 6*b388*b563 + 8*b388*b564 + 113*b388*b566 + 184*b388*b570 + 19
     *b388*b571 + 13*b388*b572 + 12*b388*b573 + 40*b388*b576 + 50*b388*b577 + 
     11*b388*b579 + b388*b580 + 12*b388*b583 + 130*b388*b584 + 7*b388*b588 + 3*
     b388*b589 + 46*b388*b590 + 84*b388*b594 + 14*b388*b595 + 19*b388*b597 + 
     105*b388*b600 + 85*b388*b602 + 33*b388*b606 + 131*b388*b609 + 3*b388*b612
      + 13*b388*b614 + 29*b388*b615 + 3*b388*b616 + 14*b389*b512 + 23*b389*b513
      + 48*b389*b514 + 147*b389*b517 + 2*b389*b518 + 27*b389*b519 + 41*b389*
     b520 + 19*b389*b521 + 37*b389*b522 + 19*b389*b524 + 4*b389*b526 + 59*b389*
     b527 + 7*b389*b528 + 50*b389*b529 + 12*b389*b530 + 41*b389*b531 + 7*b389*
     b532 + 14*b389*b533 + 35*b389*b534 + 24*b389*b535 + 22*b389*b538 + 101*
     b389*b540 + 4*b389*b542 + 16*b389*b543 + 6*b389*b544 + 55*b389*b546 + 26*
     b389*b550 + 22*b389*b551 + 80*b389*b552 + 36*b389*b557 + 41*b389*b558 + 
     b389*b560 + 24*b389*b562 + 36*b389*b563 + 3*b389*b564 + 9*b389*b570 + 49*
     b389*b571 + 54*b389*b574 + 16*b389*b575 + 9*b389*b576 + 38*b389*b577 + 44*
     b389*b579 + 79*b389*b585 + 8*b389*b587 + 22*b389*b590 + 10*b389*b591 + 24*
     b389*b593 + 15*b389*b594 + 16*b389*b595 + 20*b389*b597 + 40*b389*b598 + 54
     *b389*b599 + 42*b389*b600 + 132*b389*b603 + 102*b389*b604 + 15*b389*b605
      + 13*b389*b606 + 13*b389*b607 + 41*b389*b608 + 14*b389*b609 + 10*b389*
     b611 + 44*b389*b612 + 94*b389*b614 + 23*b389*b615 + 5*b389*b616 + 71*b389*
     b618 + 13*b390*b511 + 12*b390*b513 + 30*b390*b515 + 10*b390*b517 + 17*b390
     *b525 + 36*b390*b528 + 9*b390*b530 + 42*b390*b532 + 12*b390*b537 + 15*b390
     *b538 + 48*b390*b539 + 54*b390*b541 + 26*b390*b542 + 28*b390*b545 + 18*
     b390*b550 + 45*b390*b551 + 16*b390*b556 + 21*b390*b560 + 3*b390*b562 + 20*
     b390*b564 + 92*b390*b565 + 33*b390*b566 + 106*b390*b567 + 100*b390*b568 + 
     2*b390*b569 + 66*b390*b571 + 136*b390*b576 + 29*b390*b577 + 11*b390*b579
      + 24*b390*b581 + 77*b390*b585 + 6*b390*b589 + 28*b390*b590 + 50*b390*b591
      + 18*b390*b592 + 108*b390*b593 + 18*b390*b595 + 26*b390*b596 + 4*b390*
     b598 + 17*b390*b602 + 20*b390*b606 + 50*b390*b613 + 80*b390*b618 + 29*b391
     *b518 + 46*b391*b521 + 39*b391*b522 + 8*b391*b523 + 17*b391*b524 + 21*b391
     *b526 + 34*b391*b527 + 6*b391*b530 + 5*b391*b531 + 36*b391*b532 + 45*b391*
     b534 + 8*b391*b535 + 12*b391*b538 + 8*b391*b539 + 9*b391*b549 + 2*b391*
     b550 + 2*b391*b563 + 157*b391*b570 + 61*b391*b571 + 11*b391*b572 + 9*b391*
     b573 + 38*b391*b576 + 5*b391*b577 + 114*b391*b580 + 6*b391*b583 + 109*b391
     *b584 + 10*b391*b587 + 54*b391*b589 + 4*b391*b591 + 82*b391*b594 + b391*
     b595 + 31*b391*b597 + 74*b391*b599 + 19*b391*b600 + 22*b391*b601 + 127*
     b391*b602 + 37*b391*b606 + 11*b391*b607 + 31*b391*b609 + 15*b391*b611 + 25
     *b391*b612 + 30*b391*b613 + 19*b392*b511 + 25*b392*b512 + 2*b392*b515 + 12
     *b392*b516 + 14*b392*b519 + 5*b392*b520 + 33*b392*b521 + 15*b392*b522 + 3*
     b392*b524 + 28*b392*b525 + b392*b526 + 14*b392*b532 + 22*b392*b534 + 2*
     b392*b535 + b392*b538 + 13*b392*b543 + b392*b550 + 16*b392*b551 + b392*
     b553 + 45*b392*b556 + 13*b392*b560 + 23*b392*b561 + 4*b392*b562 + 3*b392*
     b565 + 32*b392*b566 + 33*b392*b568 + 59*b392*b571 + 17*b392*b572 + 24*b392
     *b573 + 130*b392*b574 + 29*b392*b575 + 10*b392*b577 + 9*b392*b578 + 2*b392
     *b579 + 15*b392*b580 + 32*b392*b584 + b392*b587 + 6*b392*b588 + 4*b392*
     b589 + 25*b392*b591 + 30*b392*b593 + 3*b392*b594 + b392*b598 + 28*b392*
     b599 + b392*b601 + 41*b392*b602 + 103*b392*b603 + 5*b392*b604 + 8*b392*
     b605 + 5*b392*b608 + 12*b392*b611 + 23*b392*b612 + 24*b392*b613 + 3*b392*
     b616 + 19*b392*b617 + 4*b392*b618 + 16*b393*b511 + 8*b393*b513 + 19*b393*
     b514 + 12*b393*b515 + 31*b393*b516 + 20*b393*b517 + 8*b393*b518 + 151*b393
     *b519 + 73*b393*b520 + 25*b393*b521 + 104*b393*b523 + 58*b393*b524 + 32*
     b393*b525 + 27*b393*b526 + 19*b393*b528 + 2*b393*b531 + 15*b393*b532 + 42*
     b393*b533 + 8*b393*b534 + 19*b393*b535 + b393*b537 + 18*b393*b538 + 14*
     b393*b539 + 12*b393*b543 + 6*b393*b548 + 10*b393*b551 + 9*b393*b555 + 45*
     b393*b557 + 7*b393*b563 + 29*b393*b567 + 18*b393*b569 + 10*b393*b570 + 16*
     b393*b571 + 79*b393*b572 + 37*b393*b573 + 20*b393*b574 + b393*b575 + 11*
     b393*b576 + 53*b393*b577 + 130*b393*b578 + 14*b393*b579 + 11*b393*b581 + 
     56*b393*b582 + 25*b393*b584 + 4*b393*b590 + 13*b393*b591 + 2*b393*b595 + 
     22*b393*b597 + 3*b393*b599 + 17*b393*b600 + 100*b393*b601 + 21*b393*b610
      + 31*b393*b611 + 31*b393*b612 + 14*b393*b613 + 30*b393*b614 + 26*b393*
     b615 + 11*b393*b616 + 36*b393*b617 + 15*b393*b618 + 22*b394*b515 + 9*b394*
     b516 + 55*b394*b517 + 152*b394*b518 + 6*b394*b519 + 21*b394*b520 + 41*b394
     *b521 + 20*b394*b523 + 4*b394*b525 + 29*b394*b527 + 14*b394*b529 + 39*b394
     *b530 + 24*b394*b531 + 107*b394*b534 + 24*b394*b535 + 19*b394*b536 + 9*
     b394*b537 + 10*b394*b538 + 4*b394*b539 + 3*b394*b540 + 59*b394*b543 + 20*
     b394*b544 + 45*b394*b545 + 4*b394*b547 + 10*b394*b549 + 2*b394*b550 + 13*
     b394*b553 + 8*b394*b554 + 4*b394*b555 + 73*b394*b556 + 17*b394*b559 + 109*
     b394*b560 + 3*b394*b562 + 71*b394*b564 + 98*b394*b568 + 141*b394*b569 + 64
     *b394*b571 + 49*b394*b572 + 13*b394*b573 + 2*b394*b574 + 3*b394*b576 + 6*
     b394*b577 + 39*b394*b578 + 7*b394*b581 + 19*b394*b582 + 30*b394*b588 + 
     b394*b589 + 46*b394*b597 + b394*b598 + 28*b394*b600 + 8*b394*b601 + 15*
     b394*b602 + 4*b394*b604 + 11*b394*b607 + 49*b394*b608 + 3*b394*b609 + 20*
     b394*b611 + 18*b394*b612 + 92*b394*b613 + 69*b394*b614 + 3*b394*b616 + 56*
     b394*b618 + 15*b395*b512 + 20*b395*b513 + 23*b395*b516 + 65*b395*b517 + 48
     *b395*b520 + 20*b395*b521 + 14*b395*b523 + 21*b395*b524 + 7*b395*b526 + 4*
     b395*b528 + 4*b395*b529 + 35*b395*b532 + 4*b395*b536 + 13*b395*b538 + 8*
     b395*b539 + 116*b395*b541 + 41*b395*b544 + 38*b395*b545 + 33*b395*b551 + 6
     *b395*b554 + 8*b395*b555 + 62*b395*b556 + 66*b395*b557 + 5*b395*b558 + 22*
     b395*b560 + 7*b395*b561 + 26*b395*b562 + 7*b395*b564 + 33*b395*b565 + 25*
     b395*b571 + b395*b572 + 25*b395*b574 + 6*b395*b575 + 98*b395*b576 + 37*
     b395*b577 + 31*b395*b579 + 11*b395*b580 + b395*b583 + 88*b395*b585 + 2*
     b395*b588 + 32*b395*b590 + 23*b395*b591 + 12*b395*b592 + 57*b395*b593 + 12
     *b395*b595 + 6*b395*b596 + 20*b395*b598 + 153*b395*b599 + 106*b395*b600 + 
     6*b395*b601 + 55*b395*b602 + 2*b395*b607 + 6*b395*b608 + 16*b395*b609 + 16
     *b395*b612 + 33*b395*b614 + 9*b395*b615 + 15*b395*b618 + 13*b396*b512 + 23
     *b396*b513 + 27*b396*b514 + 22*b396*b515 + 6*b396*b516 + 11*b396*b517 + 
     b396*b518 + 11*b396*b521 + 7*b396*b524 + 167*b396*b525 + 17*b396*b526 + 
     b396*b527 + 2*b396*b528 + 90*b396*b529 + 55*b396*b531 + 24*b396*b532 + 16*
     b396*b533 + 26*b396*b535 + 22*b396*b536 + 13*b396*b537 + 10*b396*b538 + 51
     *b396*b539 + 2*b396*b542 + 24*b396*b545 + 109*b396*b550 + 5*b396*b561 + 
     b396*b566 + 7*b396*b567 + 11*b396*b568 + 24*b396*b571 + 9*b396*b573 + 17*
     b396*b574 + 13*b396*b576 + 13*b396*b577 + 22*b396*b578 + 34*b396*b579 + 27
     *b396*b580 + 25*b396*b581 + 45*b396*b582 + 5*b396*b584 + 6*b396*b592 + 81*
     b396*b599 + 27*b396*b600 + 30*b396*b601 + 55*b396*b602 + 12*b396*b603 + 30
     *b396*b604 + 8*b396*b606 + 16*b396*b611 + 5*b396*b612 + 6*b396*b614 + 29*
     b396*b616 + 2*b396*b617 + 34*b396*b618 + 9*b397*b511 + 53*b397*b514 + 16*
     b397*b515 + 112*b397*b517 + 62*b397*b518 + 39*b397*b520 + 4*b397*b521 + 6*
     b397*b523 + 26*b397*b524 + 54*b397*b525 + 6*b397*b527 + 2*b397*b528 + 61*
     b397*b529 + 18*b397*b532 + 25*b397*b535 + 37*b397*b537 + 26*b397*b538 + 37
     *b397*b539 + 5*b397*b541 + 27*b397*b543 + 86*b397*b545 + 30*b397*b547 + 40
     *b397*b548 + 26*b397*b551 + 83*b397*b552 + 45*b397*b554 + 11*b397*b555 + 
     14*b397*b556 + 28*b397*b559 + 30*b397*b560 + 4*b397*b562 + 22*b397*b564 + 
     122*b397*b565 + 20*b397*b571 + 16*b397*b572 + 4*b397*b577 + 9*b397*b578 + 
     19*b397*b581 + 3*b397*b582 + 15*b397*b585 + 13*b397*b592 + 54*b397*b593 + 
     42*b397*b598 + 10*b397*b600 + 35*b397*b603 + 116*b397*b604 + 19*b397*b608
      + 69*b397*b609 + 8*b397*b611 + 28*b397*b613 + 73*b397*b614 + 37*b397*b615
      + 27*b397*b616 + 10*b397*b617 + 8*b397*b618 + 7*b398*b512 + 22*b398*b513
      + 47*b398*b514 + 119*b398*b517 + 19*b398*b519 + 20*b398*b520 + 4*b398*
     b524 + 24*b398*b525 + 6*b398*b526 + 31*b398*b529 + 3*b398*b531 + 39*b398*
     b532 + 17*b398*b533 + 43*b398*b537 + 11*b398*b538 + 58*b398*b539 + 98*b398
     *b545 + 7*b398*b547 + 17*b398*b548 + 20*b398*b551 + 10*b398*b557 + 4*b398*
     b559 + 20*b398*b560 + 11*b398*b561 + 38*b398*b564 + 108*b398*b565 + 11*
     b398*b566 + 28*b398*b571 + 2*b398*b572 + 28*b398*b575 + 36*b398*b577 + 34*
     b398*b581 + 49*b398*b584 + 209*b398*b585 + 62*b398*b591 + 3*b398*b592 + 15
     *b398*b599 + 50*b398*b600 + 14*b398*b601 + 59*b398*b603 + 27*b398*b604 + 
     14*b398*b608 + 34*b398*b609 + 4*b398*b611 + 68*b398*b612 + 120*b398*b614
      + 26*b398*b616 + 19*b398*b617 + 21*b399*b511 + 26*b399*b512 + 34*b399*
     b513 + 15*b399*b514 + 15*b399*b515 + 20*b399*b516 + 8*b399*b517 + 82*b399*
     b519 + 56*b399*b520 + 25*b399*b521 + 110*b399*b523 + 46*b399*b524 + 86*
     b399*b528 + 21*b399*b529 + 32*b399*b531 + 15*b399*b532 + 47*b399*b533 + 19
     *b399*b535 + 27*b399*b536 + 2*b399*b538 + 35*b399*b548 + 4*b399*b554 + 66*
     b399*b555 + 2*b399*b556 + 22*b399*b557 + 2*b399*b558 + 4*b399*b559 + 8*
     b399*b560 + 2*b399*b564 + b399*b565 + 61*b399*b567 + 11*b399*b569 + 18*
     b399*b570 + 10*b399*b571 + 83*b399*b572 + 12*b399*b573 + 22*b399*b574 + 15
     *b399*b576 + 15*b399*b577 + 42*b399*b578 + 17*b399*b579 + 24*b399*b580 + 
     13*b399*b581 + 56*b399*b582 + 17*b399*b584 + 3*b399*b588 + 5*b399*b590 + 7
     *b399*b593 + 13*b399*b595 + 18*b399*b600 + 95*b399*b601 + 16*b399*b608 + 6
     *b399*b610 + 41*b399*b611 + 16*b399*b612 + 12*b399*b613 + 3*b399*b614 + 18
     *b399*b615 + 40*b399*b616 + 39*b399*b617 + 34*b400*b512 + 60*b400*b513 + 5
     *b400*b515 + 19*b400*b516 + 48*b400*b518 + 45*b400*b519 + 16*b400*b520 + 
     24*b400*b522 + 23*b400*b527 + 23*b400*b529 + 32*b400*b530 + 44*b400*b534
      + 69*b400*b535 + 54*b400*b537 + 17*b400*b538 + 74*b400*b539 + 8*b400*b540
      + 12*b400*b545 + 24*b400*b548 + 19*b400*b550 + 14*b400*b552 + 43*b400*
     b554 + 22*b400*b555 + 16*b400*b557 + 10*b400*b559 + 59*b400*b560 + 16*b400
     *b561 + 13*b400*b562 + 42*b400*b564 + 7*b400*b565 + 294*b400*b567 + 39*
     b400*b570 + 14*b400*b571 + 95*b400*b572 + 8*b400*b576 + 8*b400*b577 + 107*
     b400*b578 + 37*b400*b579 + 41*b400*b580 + 24*b400*b581 + 20*b400*b582 + 9*
     b400*b583 + 19*b400*b590 + b400*b591 + 25*b400*b593 + 61*b400*b598 + 46*
     b400*b602 + 11*b400*b608 + 48*b400*b611 + 72*b400*b616 + 85*b401*b512 + 3*
     b401*b520 + 45*b401*b521 + 4*b401*b523 + 45*b401*b525 + 35*b401*b526 + 14*
     b401*b527 + b401*b528 + b401*b532 + 16*b401*b534 + 28*b401*b537 + 93*b401*
     b541 + 68*b401*b543 + 56*b401*b547 + 80*b401*b549 + 2*b401*b551 + 38*b401*
     b552 + 17*b401*b554 + 20*b401*b555 + 2*b401*b556 + 19*b401*b557 + 15*b401*
     b560 + 13*b401*b561 + 4*b401*b562 + 21*b401*b563 + 63*b401*b565 + 192*b401
     *b569 + 17*b401*b570 + 7*b401*b571 + 12*b401*b572 + 14*b401*b573 + 5*b401*
     b574 + 16*b401*b576 + 37*b401*b577 + 2*b401*b578 + 13*b401*b580 + 45*b401*
     b582 + 11*b401*b586 + 20*b401*b588 + 5*b401*b589 + 7*b401*b590 + 69*b401*
     b591 + 28*b401*b592 + 39*b401*b593 + 42*b401*b595 + 11*b401*b597 + 20*b401
     *b598 + 8*b401*b602 + 28*b401*b603 + 52*b401*b604 + 90*b401*b605 + 7*b401*
     b606 + 44*b401*b608 + 275*b401*b609 + 19*b401*b610 + b401*b612 + 12*b401*
     b614 + 10*b401*b615 + 42*b402*b511 + 29*b402*b512 + 48*b402*b514 + 27*b402
     *b520 + 13*b402*b522 + 29*b402*b523 + 59*b402*b526 + b402*b528 + 34*b402*
     b529 + 83*b402*b532 + 58*b402*b533 + 5*b402*b534 + 13*b402*b535 + 12*b402*
     b536 + 91*b402*b542 + 24*b402*b548 + 6*b402*b550 + 20*b402*b551 + 44*b402*
     b554 + 74*b402*b555 + 37*b402*b556 + 19*b402*b557 + 47*b402*b558 + 31*b402
     *b559 + 264*b402*b565 + 85*b402*b566 + 31*b402*b571 + 73*b402*b572 + 66*
     b402*b573 + 7*b402*b574 + 20*b402*b577 + 41*b402*b580 + 11*b402*b583 + 90*
     b402*b584 + 25*b402*b586 + 100*b402*b587 + 21*b402*b588 + 41*b402*b589 + 
     48*b402*b592 + 33*b402*b595 + 138*b402*b598 + 7*b402*b599 + 9*b402*b602 + 
     12*b402*b603 + 26*b402*b604 + 99*b402*b605 + 154*b402*b606 + 117*b402*b607
      + 63*b402*b608 + 180*b402*b609 + 43*b402*b614 + 50*b402*b615 + 32*b402*
     b618 + b403*b511 + 59*b403*b512 + b403*b515 + 4*b403*b516 + 12*b403*b518
      + 63*b403*b520 + 13*b403*b524 + 40*b403*b525 + 31*b403*b526 + 43*b403*
     b529 + 108*b403*b531 + 24*b403*b532 + 20*b403*b535 + 38*b403*b536 + 5*b403
     *b539 + 53*b403*b541 + 16*b403*b543 + 72*b403*b551 + 19*b403*b552 + 37*
     b403*b556 + 8*b403*b557 + 31*b403*b560 + 3*b403*b562 + 21*b403*b563 + 13*
     b403*b564 + 123*b403*b565 + 50*b403*b571 + 3*b403*b572 + 28*b403*b574 + 5*
     b403*b575 + b403*b579 + 30*b403*b580 + 8*b403*b581 + 74*b403*b582 + 4*b403
     *b583 + 46*b403*b584 + 8*b403*b586 + 30*b403*b589 + 112*b403*b590 + 90*
     b403*b593 + 25*b403*b594 + 9*b403*b597 + 17*b403*b598 + 82*b403*b604 + 166
     *b403*b609 + 12*b403*b612 + 21*b403*b616 + 26*b404*b517 + 100*b404*b519 + 
     68*b404*b524 + 2*b404*b525 + b404*b526 + 14*b404*b532 + 192*b404*b533 + 20
     *b404*b535 + b404*b536 + 6*b404*b537 + 78*b404*b539 + 19*b404*b543 + 9*
     b404*b545 + b404*b546 + 19*b404*b548 + 24*b404*b550 + 81*b404*b551 + 78*
     b404*b555 + 15*b404*b556 + 95*b404*b557 + 28*b404*b558 + 2*b404*b559 + 2*
     b404*b560 + 6*b404*b564 + 183*b404*b567 + 9*b404*b571 + 40*b404*b575 + 21*
     b404*b578 + 25*b404*b581 + 304*b404*b584 + 46*b404*b586 + 149*b404*b587 + 
     19*b404*b591 + 15*b404*b593 + 6*b404*b595 + 38*b404*b598 + 13*b404*b599 + 
     77*b404*b601 + 18*b404*b602 + 28*b404*b603 + 3*b404*b604 + 20*b404*b605 + 
     229*b404*b610 + 26*b404*b611 + 4*b404*b614 + 99*b404*b616 + 10*b405*b511
      + 34*b405*b514 + 3*b405*b516 + 23*b405*b517 + 19*b405*b519 + 31*b405*b521
      + 27*b405*b524 + 15*b405*b528 + 53*b405*b530 + 26*b405*b533 + 76*b405*
     b537 + 5*b405*b539 + 8*b405*b540 + 26*b405*b542 + 29*b405*b545 + 4*b405*
     b546 + 76*b405*b547 + 8*b405*b549 + 61*b405*b556 + 56*b405*b558 + 25*b405*
     b559 + 88*b405*b561 + 13*b405*b565 + 102*b405*b568 + 18*b405*b569 + 258*
     b405*b570 + 35*b405*b571 + 15*b405*b572 + 13*b405*b574 + 60*b405*b575 + 28
     *b405*b578 + 13*b405*b580 + 14*b405*b583 + 88*b405*b586 + 40*b405*b587 + 
     24*b405*b590 + 20*b405*b594 + 17*b405*b595 + 47*b405*b598 + 21*b405*b602
      + 43*b405*b607 + 110*b405*b610 + 79*b405*b613 + 24*b405*b617 + 6*b406*
     b511 + 8*b406*b512 + 15*b406*b515 + 9*b406*b516 + 6*b406*b518 + 8*b406*
     b520 + 33*b406*b521 + 16*b406*b523 + 33*b406*b524 + 22*b406*b525 + 26*b406
     *b528 + 10*b406*b529 + 31*b406*b530 + 32*b406*b531 + 38*b406*b532 + 63*
     b406*b533 + 17*b406*b536 + 47*b406*b537 + 2*b406*b539 + 27*b406*b540 + 4*
     b406*b542 + 2*b406*b546 + 25*b406*b552 + 21*b406*b554 + 9*b406*b556 + 13*
     b406*b559 + 64*b406*b560 + 9*b406*b562 + 9*b406*b563 + 2*b406*b564 + 33*
     b406*b567 + 305*b406*b570 + 64*b406*b571 + 10*b406*b574 + 25*b406*b578 + 
     25*b406*b580 + 11*b406*b582 + 76*b406*b585 + 15*b406*b586 + 8*b406*b587 + 
     29*b406*b590 + 38*b406*b591 + b406*b592 + 53*b406*b593 + 3*b406*b594 + 22*
     b406*b595 + 15*b406*b599 + 14*b406*b600 + 16*b406*b602 + 10*b406*b608 + 
     161*b406*b609 + 158*b406*b610 + 41*b406*b615 + 74*b406*b616 + 7*b406*b618
      + 10*b407*b512 + 87*b407*b514 + 44*b407*b518 + 2*b407*b519 + 6*b407*b521
      + 9*b407*b528 + 46*b407*b529 + 31*b407*b535 + 2*b407*b539 + 61*b407*b540
      + 2*b407*b541 + 7*b407*b546 + b407*b547 + 13*b407*b549 + 13*b407*b551 + 
     91*b407*b552 + 117*b407*b554 + 4*b407*b555 + 19*b407*b559 + 14*b407*b568
      + 65*b407*b570 + 2*b407*b571 + 32*b407*b573 + 64*b407*b574 + 23*b407*b575
      + 7*b407*b577 + 13*b407*b578 + 2*b407*b580 + 3*b407*b582 + 2*b407*b583 + 
     141*b407*b584 + 15*b407*b585 + 103*b407*b586 + 17*b407*b588 + 67*b407*b591
      + 21*b407*b593 + 3*b407*b595 + 24*b407*b596 + 2*b407*b598 + 4*b407*b607
      + 10*b407*b612 + 21*b408*b515 + 38*b408*b517 + 24*b408*b518 + 80*b408*
     b522 + 7*b408*b529 + 12*b408*b530 + 63*b408*b532 + 19*b408*b534 + 24*b408*
     b535 + 28*b408*b536 + 6*b408*b541 + 36*b408*b542 + 48*b408*b547 + 38*b408*
     b550 + 46*b408*b551 + 18*b408*b552 + 123*b408*b553 + 19*b408*b554 + 4*b408
     *b555 + 11*b408*b558 + 32*b408*b560 + 4*b408*b562 + 19*b408*b564 + 151*
     b408*b566 + 157*b408*b568 + 33*b408*b571 + 4*b408*b575 + 27*b408*b576 + 8*
     b408*b577 + 12*b408*b578 + 332*b408*b584 + 11*b408*b586 + 6*b408*b591 + 3*
     b408*b593 + 17*b408*b594 + 5*b408*b595 + 86*b408*b598 + 4*b408*b600 + 126*
     b408*b601 + 13*b408*b603 + 21*b408*b604 + 11*b408*b605 + 14*b408*b606 + 57
     *b408*b608 + 120*b408*b609 + 31*b408*b610 + 63*b408*b613 + 10*b408*b614 + 
     36*b408*b616 + 104*b408*b617 + 3*b409*b512 + 18*b409*b515 + 14*b409*b517
      + 24*b409*b518 + 73*b409*b519 + 19*b409*b521 + 50*b409*b524 + 49*b409*
     b525 + 15*b409*b528 + 36*b409*b533 + 5*b409*b534 + 30*b409*b535 + b409*
     b536 + 42*b409*b537 + 27*b409*b539 + 24*b409*b540 + b409*b545 + 2*b409*
     b547 + 37*b409*b548 + 9*b409*b549 + 19*b409*b553 + 14*b409*b554 + 75*b409*
     b555 + 15*b409*b556 + 28*b409*b558 + 29*b409*b559 + 6*b409*b562 + 45*b409*
     b569 + 7*b409*b571 + 62*b409*b572 + 7*b409*b574 + 50*b409*b578 + 25*b409*
     b579 + 81*b409*b581 + 8*b409*b582 + 20*b409*b584 + 81*b409*b585 + 26*b409*
     b586 + 50*b409*b587 + 44*b409*b589 + 3*b409*b590 + 41*b409*b591 + 31*b409*
     b592 + 42*b409*b593 + 15*b409*b594 + b409*b598 + 40*b409*b600 + 12*b409*
     b602 + 25*b409*b609 + 332*b409*b610 + 34*b409*b615 + 44*b409*b616 + 6*b409
     *b618 + 26*b410*b512 + 3*b410*b513 + 15*b410*b514 + 2*b410*b516 + 110*b410
     *b518 + 9*b410*b520 + 3*b410*b527 + 6*b410*b530 + 5*b410*b533 + 60*b410*
     b534 + 43*b410*b535 + 8*b410*b537 + 19*b410*b540 + 34*b410*b541 + 40*b410*
     b542 + 3*b410*b544 + 91*b410*b546 + 56*b410*b548 + 28*b410*b549 + 24*b410*
     b550 + 26*b410*b551 + 148*b410*b552 + 11*b410*b553 + 26*b410*b556 + 9*b410
     *b557 + 3*b410*b560 + 39*b410*b561 + b410*b563 + 177*b410*b566 + b410*b569
      + 49*b410*b571 + 6*b410*b572 + 5*b410*b573 + 13*b410*b578 + 11*b410*b579
      + 34*b410*b581 + 39*b410*b584 + 211*b410*b585 + 83*b410*b586 + 20*b410*
     b587 + 15*b410*b588 + 11*b410*b589 + 53*b410*b590 + 28*b410*b591 + 19*b410
     *b592 + 4*b410*b593 + 4*b410*b596 + 16*b410*b599 + 22*b410*b601 + 78*b410*
     b603 + 24*b410*b607 + 29*b410*b611 + 16*b410*b613 + 14*b410*b615 + 24*b410
     *b616 + 16*b410*b617 + 35*b410*b618 + 7*b411*b514 + b411*b517 + 74*b411*
     b518 + 37*b411*b519 + 66*b411*b522 + 31*b411*b524 + 3*b411*b526 + 46*b411*
     b528 + 14*b411*b529 + 5*b411*b530 + 122*b411*b531 + 14*b411*b532 + 31*b411
     *b535 + 23*b411*b540 + 8*b411*b542 + 6*b411*b543 + 39*b411*b546 + 54*b411*
     b547 + 79*b411*b548 + 80*b411*b549 + 10*b411*b556 + 47*b411*b559 + 5*b411*
     b561 + 29*b411*b562 + 17*b411*b565 + 101*b411*b567 + 128*b411*b568 + 8*
     b411*b571 + 32*b411*b572 + 37*b411*b573 + 87*b411*b576 + 22*b411*b578 + 25
     *b411*b580 + 23*b411*b581 + 24*b411*b583 + 264*b411*b585 + 35*b411*b586 + 
     46*b411*b589 + 19*b411*b590 + 22*b411*b592 + 22*b411*b594 + 6*b411*b597 + 
     108*b411*b599 + 167*b411*b602 + 54*b411*b605 + 14*b411*b606 + 67*b411*b607
      + 20*b411*b608 + 160*b411*b609 + 16*b411*b612 + 30*b411*b613 + 94*b412*
     b511 + 38*b412*b512 + 18*b412*b513 + 21*b412*b514 + 88*b412*b515 + 10*b412
     *b520 + 14*b412*b523 + 8*b412*b525 + 41*b412*b526 + 61*b412*b527 + 6*b412*
     b529 + 43*b412*b532 + 40*b412*b536 + 10*b412*b537 + 47*b412*b539 + 16*b412
     *b540 + 19*b412*b544 + 27*b412*b548 + 21*b412*b550 + 40*b412*b552 + 57*
     b412*b553 + 22*b412*b554 + 28*b412*b555 + 58*b412*b556 + 65*b412*b557 + 8*
     b412*b558 + 5*b412*b560 + 96*b412*b561 + 38*b412*b565 + 332*b412*b567 + 
     106*b412*b568 + 18*b412*b571 + 76*b412*b580 + 39*b412*b583 + 39*b412*b584
      + 30*b412*b586 + 2*b412*b587 + 50*b412*b588 + 37*b412*b589 + 50*b412*b591
      + 14*b412*b592 + 10*b412*b593 + 11*b412*b594 + 41*b412*b596 + 14*b412*
     b597 + 14*b412*b598 + 8*b412*b599 + 18*b412*b601 + 51*b412*b603 + 61*b412*
     b606 + 11*b412*b612 + 105*b412*b613 + 10*b412*b616 + 3*b412*b618 + 4*b413*
     b515 + 7*b413*b517 + 20*b413*b518 + 151*b413*b520 + 10*b413*b530 + 19*b413
     *b535 + 24*b413*b536 + 4*b413*b539 + 33*b413*b541 + 8*b413*b556 + 2*b413*
     b558 + 49*b413*b559 + 3*b413*b565 + 29*b413*b568 + 5*b413*b569 + 5*b413*
     b571 + 23*b413*b573 + 21*b413*b575 + 27*b413*b583 + 29*b413*b585 + 6*b413*
     b586 + 33*b413*b590 + 7*b413*b591 + 2*b413*b592 + 41*b413*b593 + 113*b413*
     b594 + 7*b413*b600 + 16*b413*b601 + 24*b413*b603 + 26*b413*b612 + 22*b413*
     b614 + 101*b414*b511 + 63*b414*b512 + 3*b414*b513 + 15*b414*b515 + 67*b414
     *b516 + 4*b414*b517 + 16*b414*b519 + 23*b414*b520 + 145*b414*b522 + 12*
     b414*b524 + 3*b414*b526 + 85*b414*b528 + 20*b414*b533 + 27*b414*b537 + 
     b414*b539 + 4*b414*b541 + 24*b414*b542 + 7*b414*b543 + 9*b414*b544 + 13*
     b414*b547 + 18*b414*b550 + 74*b414*b551 + 14*b414*b552 + 48*b414*b553 + 13
     *b414*b554 + 16*b414*b556 + 11*b414*b557 + 15*b414*b559 + 23*b414*b560 + 
     27*b414*b563 + 31*b414*b564 + 4*b414*b565 + 52*b414*b566 + 42*b414*b567 + 
     19*b414*b568 + 8*b414*b569 + 82*b414*b570 + 16*b414*b571 + 11*b414*b573 + 
     3*b414*b574 + 175*b414*b580 + 37*b414*b582 + 71*b414*b583 + 48*b414*b584
      + 23*b414*b586 + 29*b414*b587 + 32*b414*b588 + 2*b414*b590 + 26*b414*b591
      + 9*b414*b592 + 61*b414*b593 + 21*b414*b594 + 15*b414*b595 + 28*b414*b596
      + 30*b414*b597 + 45*b414*b598 + 6*b414*b600 + 3*b414*b601 + 5*b414*b602
      + 22*b414*b603 + 18*b414*b604 + 13*b414*b606 + 2*b414*b607 + 24*b414*b608
      + 8*b414*b611 + 28*b414*b612 + 5*b414*b613 + 35*b414*b614 + 20*b414*b616
      + 24*b414*b617 + 14*b414*b618 + 157*b415*b512 + 32*b415*b513 + 77*b415*
     b514 + 93*b415*b518 + 10*b415*b519 + 24*b415*b524 + 100*b415*b527 + 20*
     b415*b528 + 20*b415*b529 + 3*b415*b530 + 44*b415*b534 + 116*b415*b535 + 15
     *b415*b537 + 34*b415*b540 + 35*b415*b541 + 69*b415*b543 + 17*b415*b547 + 
     43*b415*b549 + 22*b415*b550 + 120*b415*b552 + 23*b415*b556 + 2*b415*b558
      + 33*b415*b561 + 12*b415*b562 + 26*b415*b563 + 132*b415*b570 + 30*b415*
     b571 + 26*b415*b574 + 46*b415*b580 + 32*b415*b583 + 195*b415*b584 + 256*
     b415*b585 + 63*b415*b586 + 32*b415*b588 + 5*b415*b590 + 155*b415*b591 + 46
     *b415*b593 + 2*b415*b596 + 14*b415*b597 + 2*b415*b599 + b415*b602 + 15*
     b415*b605 + 14*b415*b611 + 15*b415*b612 + 3*b415*b617 + 6*b415*b618 + 22*
     b416*b512 + 26*b416*b513 + 64*b416*b515 + 46*b416*b517 + 70*b416*b518 + 2*
     b416*b519 + 15*b416*b522 + 33*b416*b526 + 59*b416*b530 + 20*b416*b531 + 22
     *b416*b532 + 43*b416*b535 + 27*b416*b537 + 32*b416*b543 + 10*b416*b546 + 
     14*b416*b551 + 4*b416*b552 + 26*b416*b553 + 71*b416*b555 + 32*b416*b558 + 
     10*b416*b559 + 42*b416*b562 + 40*b416*b566 + 25*b416*b567 + 150*b416*b568
      + 152*b416*b570 + 8*b416*b571 + 10*b416*b576 + 27*b416*b580 + 11*b416*
     b582 + 78*b416*b584 + 3*b416*b586 + 11*b416*b588 + 79*b416*b589 + 24*b416*
     b591 + 52*b416*b592 + 10*b416*b593 + 54*b416*b595 + 64*b416*b596 + 52*b416
     *b597 + 21*b416*b600 + 20*b416*b603 + 49*b416*b604 + 28*b416*b606 + 3*b416
     *b607 + 48*b416*b614 + 7*b416*b615 + 35*b416*b618 + 50*b417*b511 + 28*b417
     *b514 + 65*b417*b515 + 39*b417*b517 + 21*b417*b519 + 124*b417*b520 + 11*
     b417*b521 + 52*b417*b523 + 88*b417*b525 + 6*b417*b526 + 25*b417*b527 + 48*
     b417*b531 + 68*b417*b532 + 28*b417*b534 + 31*b417*b535 + 40*b417*b536 + 10
     *b417*b537 + 44*b417*b539 + 23*b417*b543 + 10*b417*b545 + 29*b417*b546 + 
     40*b417*b547 + 25*b417*b548 + 65*b417*b550 + 37*b417*b551 + 27*b417*b554
      + 14*b417*b555 + 47*b417*b557 + 41*b417*b561 + 22*b417*b562 + 86*b417*
     b565 + 3*b417*b566 + 151*b417*b567 + 8*b417*b568 + 13*b417*b571 + 30*b417*
     b572 + 38*b417*b573 + 23*b417*b576 + b417*b579 + 73*b417*b580 + 11*b417*
     b582 + 39*b417*b583 + 22*b417*b586 + 14*b417*b587 + 39*b417*b589 + 22*b417
     *b592 + 23*b417*b593 + 6*b417*b596 + 76*b417*b599 + 79*b417*b602 + 24*b417
     *b605 + 45*b417*b606 + 46*b417*b608 + 23*b417*b610 + 8*b417*b612 + 4*b417*
     b613 + 18*b417*b614 + 32*b417*b616 + 44*b417*b618 + 52*b418*b517 + 21*b418
     *b518 + 8*b418*b523 + b418*b525 + 25*b418*b526 + 7*b418*b527 + 43*b418*
     b528 + 6*b418*b532 + 23*b418*b533 + 5*b418*b535 + 17*b418*b543 + 8*b418*
     b546 + 27*b418*b548 + 29*b418*b549 + 74*b418*b554 + b418*b555 + 37*b418*
     b556 + 38*b418*b557 + 22*b418*b558 + 22*b418*b559 + 28*b418*b561 + 15*b418
     *b564 + 195*b418*b565 + 112*b418*b567 + 26*b418*b569 + 33*b418*b571 + b418
     *b574 + 12*b418*b575 + b418*b577 + 32*b418*b583 + 23*b418*b586 + 27*b418*
     b590 + 13*b418*b592 + 36*b418*b598 + 10*b418*b599 + 47*b418*b601 + 33*b418
     *b602 + 46*b418*b605 + 12*b418*b606 + 11*b418*b607 + 26*b418*b608 + 9*b418
     *b612 + 77*b418*b614 + 10*b418*b615 + 29*b418*b617 + 17*b419*b514 + 9*b419
     *b515 + 89*b419*b517 + 24*b419*b518 + 27*b419*b520 + 22*b419*b521 + 23*
     b419*b522 + 66*b419*b525 + 63*b419*b526 + 14*b419*b527 + 8*b419*b534 + 12*
     b419*b535 + 4*b419*b539 + 59*b419*b540 + 30*b419*b542 + 39*b419*b543 + 41*
     b419*b544 + 28*b419*b546 + b419*b547 + 18*b419*b549 + 46*b419*b554 + 48*
     b419*b555 + 65*b419*b557 + 98*b419*b559 + 21*b419*b560 + 25*b419*b561 + 8*
     b419*b562 + 9*b419*b563 + 18*b419*b564 + 220*b419*b565 + 96*b419*b568 + 
     122*b419*b569 + 30*b419*b570 + 27*b419*b571 + 4*b419*b573 + 20*b419*b577
      + 40*b419*b578 + 4*b419*b579 + 17*b419*b583 + 14*b419*b586 + 48*b419*b588
      + 40*b419*b590 + 36*b419*b591 + 51*b419*b592 + 10*b419*b593 + 54*b419*
     b594 + 65*b419*b596 + 10*b419*b599 + 18*b419*b600 + 22*b419*b601 + 82*b419
     *b603 + 38*b419*b605 + 22*b419*b606 + 23*b419*b608 + 86*b419*b612 + 76*
     b419*b614 + 30*b419*b615 + 8*b420*b511 + 60*b420*b514 + 35*b420*b515 + 112
     *b420*b517 + 22*b420*b518 + 21*b420*b524 + 15*b420*b526 + 12*b420*b529 + 8
     *b420*b530 + 36*b420*b540 + 16*b420*b545 + 145*b420*b546 + 32*b420*b550 + 
     8*b420*b553 + 51*b420*b554 + 6*b420*b560 + b420*b562 + 7*b420*b565 + 134*
     b420*b566 + 102*b420*b567 + 23*b420*b568 + 97*b420*b570 + 44*b420*b571 + 
     16*b420*b573 + 4*b420*b575 + 9*b420*b576 + 46*b420*b579 + b420*b580 + 93*
     b420*b586 + 19*b420*b587 + 8*b420*b589 + 9*b420*b593 + 22*b420*b594 + 17*
     b420*b598 + 35*b420*b600 + 4*b420*b601 + 129*b420*b603 + 18*b420*b605 + 27
     *b420*b606 + 127*b420*b610 + 55*b420*b613 + 30*b420*b616 + 57*b421*b511 + 
     138*b421*b512 + 4*b421*b513 + 14*b421*b515 + 17*b421*b516 + 55*b421*b518
      + 25*b421*b519 + 38*b421*b522 + 19*b421*b523 + 30*b421*b528 + 53*b421*
     b534 + 43*b421*b535 + 25*b421*b540 + 27*b421*b546 + 19*b421*b550 + 3*b421*
     b551 + 49*b421*b554 + 45*b421*b555 + 23*b421*b557 + 6*b421*b559 + 54*b421*
     b562 + 71*b421*b563 + b421*b566 + 234*b421*b569 + 95*b421*b571 + 18*b421*
     b572 + 80*b421*b576 + 8*b421*b578 + 22*b421*b580 + 7*b421*b581 + 23*b421*
     b583 + 57*b421*b584 + 225*b421*b585 + 42*b421*b586 + 18*b421*b587 + 34*
     b421*b588 + 6*b421*b589 + 6*b421*b594 + 25*b421*b596 + 12*b421*b597 + 8*
     b421*b598 + 8*b421*b600 + 52*b421*b603 + b421*b604 + 25*b421*b605 + 112*
     b421*b608 + 158*b421*b610 + 12*b421*b613 + 64*b422*b511 + b422*b512 + 99*
     b422*b515 + 79*b422*b517 + 56*b422*b518 + 31*b422*b521 + 12*b422*b522 + 59
     *b422*b523 + 36*b422*b525 + 18*b422*b526 + 126*b422*b527 + 48*b422*b532 + 
     58*b422*b534 + 89*b422*b535 + 36*b422*b538 + 12*b422*b540 + 72*b422*b543
      + 32*b422*b544 + 153*b422*b549 + 93*b422*b552 + 2*b422*b559 + 17*b422*
     b560 + 26*b422*b563 + 120*b422*b568 + 79*b422*b570 + 11*b422*b572 + 22*
     b422*b575 + 25*b422*b577 + 9*b422*b579 + 74*b422*b580 + 40*b422*b583 + 49*
     b422*b587 + 31*b422*b593 + 38*b422*b594 + 6*b422*b596 + 36*b422*b597 + 6*
     b422*b599 + 3*b422*b606 + 23*b422*b607 + 58*b422*b609 + 164*b422*b610 + 46
     *b422*b613 + 29*b422*b614 + 24*b423*b511 + 6*b423*b512 + 6*b423*b513 + 24*
     b423*b514 + 5*b423*b518 + 134*b423*b519 + 6*b423*b522 + 24*b423*b523 + 
     b423*b525 + 79*b423*b537 + 4*b423*b543 + 56*b423*b544 + 9*b423*b545 + 4*
     b423*b550 + 4*b423*b553 + 3*b423*b554 + 14*b423*b561 + 2*b423*b564 + 151*
     b423*b569 + 35*b423*b573 + 48*b423*b574 + 8*b423*b575 + 3*b423*b576 + 71*
     b423*b577 + 21*b423*b580 + 8*b423*b581 + 23*b423*b583 + 226*b423*b584 + 15
     *b423*b585 + 19*b423*b586 + 9*b423*b588 + 87*b423*b592 + 6*b423*b594 + 6*
     b423*b595 + 129*b423*b596 + 15*b423*b602 + 20*b423*b605 + 90*b423*b609 + 4
     *b423*b612 + 36*b423*b615 + 5*b423*b616 + 3*b423*b618 + 9*b424*b511 + 27*
     b424*b518 + 7*b424*b521 + 8*b424*b522 + 11*b424*b527 + 16*b424*b529 + 15*
     b424*b531 + 3*b424*b533 + 4*b424*b534 + 4*b424*b541 + 94*b424*b542 + 42*
     b424*b547 + 12*b424*b551 + 78*b424*b555 + 3*b424*b556 + 14*b424*b557 + 25*
     b424*b564 + 15*b424*b565 + 13*b424*b568 + 4*b424*b570 + 39*b424*b573 + 33*
     b424*b577 + 4*b424*b580 + 12*b424*b583 + 3*b424*b586 + 25*b424*b588 + 27*
     b424*b591 + 7*b424*b606 + 82*b424*b607 + 2*b424*b608 + 5*b424*b609 + 6*
     b424*b612 + 41*b425*b511 + 26*b425*b515 + 127*b425*b518 + 8*b425*b519 + 25
     *b425*b521 + 30*b425*b523 + 4*b425*b524 + 16*b425*b525 + 21*b425*b527 + 34
     *b425*b528 + 6*b425*b531 + 17*b425*b532 + 73*b425*b534 + 139*b425*b535 + 
     13*b425*b536 + 23*b425*b539 + 37*b425*b542 + 82*b425*b545 + 15*b425*b549
      + b425*b550 + 66*b425*b552 + 36*b425*b556 + 9*b425*b557 + 10*b425*b559 + 
     31*b425*b560 + 44*b425*b561 + 59*b425*b563 + 43*b425*b564 + 210*b425*b565
      + 85*b425*b566 + 62*b425*b567 + 266*b425*b569 + 21*b425*b572 + 30*b425*
     b578 + 6*b425*b581 + 31*b425*b583 + 72*b425*b586 + 9*b425*b587 + 14*b425*
     b589 + 21*b425*b591 + 24*b425*b596 + 12*b425*b597 + 4*b425*b599 + 27*b425*
     b601 + 9*b425*b602 + 101*b425*b603 + 36*b425*b604 + 30*b425*b606 + 15*b425
     *b607 + 58*b425*b608 + 19*b425*b610 + 43*b425*b613 + b425*b618 + 6*b426*
     b511 + 17*b426*b514 + 14*b426*b515 + 15*b426*b525 + 8*b426*b527 + 7*b426*
     b528 + 18*b426*b529 + 10*b426*b531 + 2*b426*b532 + 5*b426*b535 + 16*b426*
     b536 + 36*b426*b537 + 22*b426*b540 + 2*b426*b541 + 9*b426*b542 + 104*b426*
     b544 + 11*b426*b547 + 8*b426*b552 + 39*b426*b553 + 26*b426*b560 + 4*b426*
     b561 + 26*b426*b564 + 9*b426*b568 + 123*b426*b569 + 30*b426*b572 + 109*
     b426*b573 + 18*b426*b574 + 17*b426*b575 + 48*b426*b577 + 8*b426*b580 + 55*
     b426*b581 + 4*b426*b582 + 13*b426*b583 + 211*b426*b584 + 11*b426*b586 + 8*
     b426*b588 + 10*b426*b591 + 47*b426*b592 + 10*b426*b593 + 13*b426*b594 + 3*
     b426*b595 + 31*b426*b596 + 2*b426*b597 + 59*b426*b598 + 25*b426*b605 + 99*
     b426*b606 + 129*b426*b607 + 13*b426*b610 + 6*b426*b612 + 59*b426*b615 + 17
     *b426*b616 + 53*b427*b511 + 3*b427*b513 + 67*b427*b514 + 17*b427*b515 + 
     b427*b517 + 51*b427*b520 + 42*b427*b523 + 15*b427*b525 + 8*b427*b527 + 32*
     b427*b528 + 40*b427*b529 + 23*b427*b531 + 23*b427*b532 + 133*b427*b533 + 3
     *b427*b537 + 11*b427*b539 + 28*b427*b540 + 17*b427*b541 + 105*b427*b542 + 
     24*b427*b545 + 50*b427*b546 + 11*b427*b550 + 55*b427*b553 + 145*b427*b555
      + 11*b427*b556 + 11*b427*b557 + 41*b427*b559 + 44*b427*b561 + 3*b427*b562
      + 167*b427*b565 + 27*b427*b568 + 23*b427*b573 + 36*b427*b574 + 31*b427*
     b580 + 6*b427*b586 + 11*b427*b587 + 81*b427*b588 + 47*b427*b589 + 34*b427*
     b590 + 10*b427*b591 + 80*b427*b592 + 35*b427*b594 + 53*b427*b596 + 54*b427
     *b598 + 14*b427*b600 + 48*b427*b605 + 82*b427*b607 + 58*b427*b608 + 274*
     b427*b609 + 4*b427*b613 + 20*b427*b614 + 80*b427*b615 + 11*b428*b511 + 27*
     b428*b514 + 18*b428*b515 + 67*b428*b517 + 52*b428*b518 + 9*b428*b519 + 55*
     b428*b520 + 9*b428*b521 + 9*b428*b522 + 38*b428*b526 + 47*b428*b527 + 10*
     b428*b528 + 31*b428*b530 + 45*b428*b532 + 3*b428*b535 + 45*b428*b542 + 27*
     b428*b543 + 9*b428*b544 + 3*b428*b545 + 2*b428*b549 + 5*b428*b551 + 43*
     b428*b554 + 61*b428*b555 + 98*b428*b557 + 46*b428*b558 + 53*b428*b559 + 5*
     b428*b560 + 45*b428*b561 + 24*b428*b562 + 4*b428*b563 + 3*b428*b564 + 128*
     b428*b565 + 66*b428*b568 + 120*b428*b570 + 41*b428*b573 + 13*b428*b576 + 
     12*b428*b577 + 4*b428*b578 + 33*b428*b580 + 47*b428*b583 + 48*b428*b584 + 
     6*b428*b585 + 28*b428*b586 + 49*b428*b590 + 9*b428*b591 + 65*b428*b592 + 
     11*b428*b594 + 56*b428*b595 + 20*b428*b598 + 12*b428*b599 + 33*b428*b600
      + 29*b428*b603 + 48*b428*b604 + 43*b428*b606 + 31*b428*b608 + 105*b428*
     b609 + 2*b428*b613 + 79*b428*b614 + 130*b428*b615 + 11*b428*b618 + 139*
     b429*b511 + 22*b429*b513 + 24*b429*b517 + 27*b429*b518 + 34*b429*b520 + 69
     *b429*b521 + 59*b429*b524 + 69*b429*b525 + 18*b429*b526 + 14*b429*b527 + 
     22*b429*b529 + 3*b429*b531 + 32*b429*b539 + 5*b429*b540 + 17*b429*b544 + 2
     *b429*b545 + 2*b429*b546 + 39*b429*b548 + 24*b429*b549 + 9*b429*b552 + 30*
     b429*b554 + 29*b429*b558 + 9*b429*b560 + 5*b429*b561 + 5*b429*b564 + 97*
     b429*b566 + 288*b429*b568 + 120*b429*b572 + 15*b429*b573 + 11*b429*b574 + 
     12*b429*b575 + 28*b429*b577 + 27*b429*b581 + 25*b429*b586 + 4*b429*b587 + 
     193*b429*b589 + 23*b429*b590 + 54*b429*b592 + 8*b429*b593 + 66*b429*b594
      + 6*b429*b596 + 6*b429*b598 + 14*b429*b603 + 5*b429*b605 + 17*b429*b608
      + 224*b429*b609 + 247*b429*b610 + 21*b429*b613 + b429*b614 + 27*b429*b615
      + 48*b430*b511 + 5*b430*b514 + 25*b430*b515 + 49*b430*b516 + 48*b430*b518
      + 5*b430*b521 + 4*b430*b522 + 24*b430*b523 + 8*b430*b525 + 8*b430*b526 + 
     6*b430*b528 + 6*b430*b529 + 108*b430*b532 + 95*b430*b535 + 53*b430*b541 + 
     34*b430*b547 + 2*b430*b548 + 101*b430*b552 + 30*b430*b555 + 4*b430*b557 + 
     72*b430*b558 + 5*b430*b559 + 36*b430*b560 + 60*b430*b564 + 12*b430*b567 + 
     52*b430*b568 + 39*b430*b570 + 6*b430*b572 + 25*b430*b573 + 6*b430*b574 + 
     48*b430*b575 + 16*b430*b578 + 22*b430*b584 + 176*b430*b586 + 2*b430*b587
      + 6*b430*b588 + 5*b430*b594 + 73*b430*b595 + 34*b430*b597 + 11*b430*b598
      + 2*b430*b599 + 34*b430*b600 + b430*b601 + 12*b430*b602 + 60*b430*b603 + 
     47*b430*b605 + 27*b430*b606 + 10*b430*b607 + 172*b430*b610 + 51*b430*b612
      + 13*b430*b614 + b431*b511 + 13*b431*b512 + 100*b431*b514 + 28*b431*b516
      + 12*b431*b518 + 11*b431*b519 + 10*b431*b524 + 4*b431*b527 + 9*b431*b528
      + 102*b431*b529 + b431*b530 + 25*b431*b533 + 6*b431*b534 + b431*b535 + 9*
     b431*b539 + 35*b431*b540 + 3*b431*b544 + 12*b431*b547 + 21*b431*b549 + 
     b431*b553 + 6*b431*b555 + b431*b558 + 14*b431*b560 + 81*b431*b568 + 18*
     b431*b570 + 23*b431*b573 + 66*b431*b574 + 2*b431*b576 + 23*b431*b578 + 3*
     b431*b581 + 6*b431*b582 + 134*b431*b584 + 158*b431*b585 + 54*b431*b586 + 
     52*b431*b589 + 3*b431*b593 + 20*b431*b594 + 22*b431*b595 + 3*b431*b596 + 9
     *b431*b598 + 26*b431*b606 + 4*b431*b611 + 82*b431*b612 + 17*b431*b613 + 25
     *b431*b617 + 45*b431*b618 + 49*b432*b512 + 34*b432*b514 + 23*b432*b516 + 
     77*b432*b518 + 19*b432*b519 + 4*b432*b520 + 15*b432*b522 + 18*b432*b524 + 
     46*b432*b527 + 26*b432*b528 + 20*b432*b529 + 17*b432*b530 + 7*b432*b533 + 
     22*b432*b535 + 15*b432*b537 + 8*b432*b538 + 42*b432*b539 + 7*b432*b541 + 
     122*b432*b545 + 3*b432*b547 + 2*b432*b551 + 6*b432*b555 + 101*b432*b556 + 
     31*b432*b557 + 38*b432*b561 + 13*b432*b562 + 20*b432*b563 + 81*b432*b565
      + 9*b432*b573 + 43*b432*b574 + 32*b432*b577 + 5*b432*b579 + 7*b432*b581
      + 80*b432*b585 + 12*b432*b588 + 9*b432*b592 + 42*b432*b593 + 16*b432*b594
      + 31*b432*b596 + 32*b432*b598 + 33*b432*b599 + 14*b432*b600 + 28*b432*
     b603 + 65*b432*b604 + 29*b432*b608 + 43*b432*b609 + 10*b432*b611 + 50*b432
     *b612 + 9*b432*b616 + 65*b432*b617 + 25*b433*b517 + 20*b433*b519 + 87*b433
     *b521 + 12*b433*b523 + 40*b433*b525 + 57*b433*b528 + 52*b433*b529 + 26*
     b433*b530 + 14*b433*b531 + 12*b433*b533 + 17*b433*b539 + 17*b433*b541 + 54
     *b433*b544 + 20*b433*b545 + 51*b433*b547 + 8*b433*b548 + 23*b433*b554 + 91
     *b433*b557 + 10*b433*b558 + 3*b433*b559 + 23*b433*b560 + 42*b433*b561 + 
     313*b433*b567 + 65*b433*b568 + 82*b433*b569 + 8*b433*b586 + 113*b433*b587
      + 36*b433*b588 + 19*b433*b589 + 20*b433*b590 + 39*b433*b591 + 49*b433*
     b592 + 31*b433*b593 + 27*b433*b594 + 2*b433*b595 + 115*b433*b596 + 21*b433
     *b597 + 50*b433*b598 + 21*b433*b599 + 29*b433*b600 + 62*b433*b601 + 4*b433
     *b602 + 84*b433*b611 + 41*b433*b612 + 46*b433*b613 + 39*b433*b614 + 65*
     b433*b616 + 15*b433*b617 + 6*b433*b618 + 48*b434*b514 + 4*b434*b517 + 52*
     b434*b520 + b434*b522 + 102*b434*b525 + 11*b434*b528 + 33*b434*b529 + 6*
     b434*b536 + 10*b434*b537 + 13*b434*b542 + 2*b434*b547 + 37*b434*b550 + 2*
     b434*b552 + 11*b434*b557 + 9*b434*b560 + 3*b434*b564 + 9*b434*b565 + 9*
     b434*b566 + 4*b434*b567 + 3*b434*b569 + 75*b434*b574 + 18*b434*b576 + 9*
     b434*b584 + 5*b434*b586 + b434*b587 + 21*b434*b595 + 13*b434*b596 + 3*b434
     *b597 + 18*b434*b599 + 154*b434*b600 + 24*b434*b601 + 20*b434*b602 + 2*
     b434*b605 + 16*b434*b607 + 16*b434*b608 + 44*b434*b612 + 133*b435*b513 + 3
     *b435*b514 + 8*b435*b518 + 22*b435*b520 + 10*b435*b527 + 17*b435*b529 + 29
     *b435*b534 + 55*b435*b536 + 9*b435*b537 + 2*b435*b541 + 47*b435*b542 + 24*
     b435*b544 + 37*b435*b545 + 4*b435*b547 + 8*b435*b550 + 13*b435*b551 + 19*
     b435*b552 + 21*b435*b555 + 24*b435*b556 + 17*b435*b557 + 2*b435*b559 + 10*
     b435*b564 + 124*b435*b568 + 251*b435*b569 + 10*b435*b575 + 26*b435*b576 + 
     26*b435*b577 + 12*b435*b578 + 8*b435*b580 + 173*b435*b581 + 20*b435*b582
      + 26*b435*b584 + 63*b435*b585 + 7*b435*b586 + 77*b435*b588 + 15*b435*b589
      + 64*b435*b593 + 32*b435*b594 + b435*b596 + 57*b435*b600 + 5*b435*b604 + 
     6*b435*b605 + 67*b435*b606 + 79*b435*b607 + 94*b435*b610 + 5*b435*b612 + 
     47*b436*b514 + 2*b436*b515 + 12*b436*b517 + 36*b436*b518 + 5*b436*b523 + 
     43*b436*b525 + 42*b436*b528 + 66*b436*b529 + 22*b436*b530 + 25*b436*b531
      + 18*b436*b535 + 18*b436*b539 + 19*b436*b541 + 67*b436*b542 + 2*b436*b543
      + 46*b436*b545 + 5*b436*b546 + 81*b436*b547 + 12*b436*b548 + 11*b436*b550
      + 21*b436*b553 + 14*b436*b554 + 95*b436*b555 + 38*b436*b556 + 36*b436*
     b557 + 11*b436*b558 + 7*b436*b559 + 32*b436*b562 + 17*b436*b564 + 176*b436
     *b565 + 73*b436*b568 + 4*b436*b577 + 112*b436*b578 + 23*b436*b586 + 38*
     b436*b589 + 20*b436*b591 + 66*b436*b592 + 33*b436*b594 + b436*b596 + 20*
     b436*b597 + 17*b436*b608 + 178*b436*b609 + 35*b436*b612 + 15*b436*b613 + 
     46*b436*b614 + 74*b436*b615 + 169*b436*b616 + 94*b436*b617 + 22*b437*b514
      + 16*b437*b515 + 25*b437*b519 + 24*b437*b520 + 78*b437*b523 + 12*b437*
     b525 + 156*b437*b526 + 15*b437*b527 + 41*b437*b529 + 31*b437*b530 + 32*
     b437*b532 + 155*b437*b533 + 13*b437*b534 + 50*b437*b535 + 34*b437*b540 + 
     18*b437*b541 + 86*b437*b544 + 8*b437*b546 + 7*b437*b548 + 12*b437*b552 + 
     18*b437*b556 + 15*b437*b557 + 151*b437*b565 + 50*b437*b566 + 20*b437*b568
      + 137*b437*b569 + 8*b437*b576 + 22*b437*b577 + 67*b437*b580 + 25*b437*
     b583 + 241*b437*b584 + 9*b437*b586 + 140*b437*b587 + 3*b437*b589 + 29*b437
     *b590 + 52*b437*b592 + 31*b437*b593 + 46*b437*b596 + 36*b437*b598 + 13*
     b437*b599 + 28*b437*b602 + 10*b437*b603 + 17*b437*b606 + 51*b437*b608 + 12
     *b437*b610 + b437*b613 + 109*b437*b617 + 18*b438*b517 + 13*b438*b518 + 15*
     b438*b522 + 2*b438*b523 + 2*b438*b525 + 31*b438*b528 + 12*b438*b531 + 11*
     b438*b532 + 17*b438*b535 + 20*b438*b543 + 12*b438*b547 + 26*b438*b553 + 18
     *b438*b556 + 24*b438*b558 + 5*b438*b559 + 17*b438*b567 + 6*b438*b569 + 8*
     b438*b572 + 25*b438*b580 + 13*b438*b584 + 6*b438*b586 + 13*b438*b588 + 22*
     b438*b590 + 14*b438*b595 + 3*b438*b596 + 22*b438*b598 + 10*b438*b599 + 4*
     b438*b600 + 6*b438*b602 + 19*b438*b605 + 3*b438*b607 + 6*b438*b608 + 7*
     b438*b610 + 21*b438*b614 + b438*b616 + 11*b438*b618 + 23*b439*b512 + 45*
     b439*b513 + 20*b439*b514 + 14*b439*b515 + 26*b439*b516 + 77*b439*b517 + 54
     *b439*b520 + 7*b439*b521 + 2*b439*b523 + 17*b439*b525 + 62*b439*b529 + 11*
     b439*b530 + 175*b439*b531 + 12*b439*b533 + 18*b439*b535 + 34*b439*b536 + 5
     *b439*b539 + 6*b439*b544 + 53*b439*b550 + 7*b439*b552 + 9*b439*b560 + 4*
     b439*b562 + b439*b563 + 129*b439*b566 + 184*b439*b567 + 47*b439*b569 + 13*
     b439*b572 + b439*b573 + 46*b439*b576 + 12*b439*b577 + 32*b439*b582 + 20*
     b439*b583 + 9*b439*b586 + 22*b439*b587 + 35*b439*b588 + 33*b439*b593 + 35*
     b439*b599 + 9*b439*b600 + 62*b439*b602 + 14*b439*b604 + 5*b439*b606 + 17*
     b439*b607 + 13*b439*b611 + 15*b439*b616 + 129*b439*b618 + 102*b440*b513 + 
     2*b440*b514 + 40*b440*b515 + 22*b440*b517 + 29*b440*b521 + 11*b440*b525 + 
     25*b440*b528 + 33*b440*b529 + 17*b440*b536 + 2*b440*b537 + 11*b440*b540 + 
     10*b440*b541 + 16*b440*b542 + 44*b440*b548 + 28*b440*b551 + 68*b440*b552
      + 9*b440*b553 + 23*b440*b555 + 16*b440*b556 + 75*b440*b558 + 12*b440*b559
      + 28*b440*b561 + 46*b440*b562 + 38*b440*b563 + 63*b440*b566 + 109*b440*
     b567 + 236*b440*b568 + 60*b440*b569 + 36*b440*b573 + 9*b440*b575 + 21*b440
     *b580 + 27*b440*b581 + 17*b440*b583 + 83*b440*b586 + 64*b440*b588 + 28*
     b440*b589 + 27*b440*b592 + 39*b440*b595 + 12*b440*b596 + 17*b440*b597 + 7*
     b440*b599 + 32*b440*b600 + 9*b440*b601 + 45*b440*b602 + 41*b440*b603 + 40*
     b440*b608 + 169*b440*b610 + 40*b440*b613 + 39*b440*b615 + 3*b441*b512 + 38
     *b441*b517 + 17*b441*b519 + 16*b441*b520 + 36*b441*b522 + 4*b441*b524 + 13
     *b441*b526 + 24*b441*b528 + 10*b441*b531 + 2*b441*b534 + 20*b441*b536 + 32
     *b441*b539 + 5*b441*b542 + 86*b441*b554 + 7*b441*b557 + 12*b441*b558 + 174
     *b441*b563 + 62*b441*b568 + 172*b441*b569 + 17*b441*b573 + 44*b441*b576 + 
     6*b441*b577 + 2*b441*b578 + 17*b441*b579 + 7*b441*b580 + 30*b441*b581 + 16
     *b441*b582 + 29*b441*b583 + 173*b441*b585 + 57*b441*b586 + 4*b441*b588 + 
     30*b441*b595 + 52*b441*b597 + 9*b441*b598 + 34*b441*b601 + 22*b441*b603 + 
     2*b441*b605 + 103*b441*b608 + 40*b441*b610 + 13*b441*b611 + 21*b441*b613
      + 61*b441*b614 + 43*b442*b514 + 24*b442*b515 + 8*b442*b517 + 117*b442*
     b518 + 16*b442*b519 + 50*b442*b526 + 169*b442*b527 + 8*b442*b530 + 31*b442
     *b532 + 68*b442*b534 + 120*b442*b535 + 29*b442*b537 + 16*b442*b540 + 13*
     b442*b542 + 14*b442*b543 + 9*b442*b544 + 4*b442*b548 + 70*b442*b549 + 16*
     b442*b550 + 15*b442*b551 + 24*b442*b553 + 2*b442*b555 + 5*b442*b556 + 13*
     b442*b557 + 32*b442*b559 + 94*b442*b560 + 101*b442*b561 + 44*b442*b562 + 
     28*b442*b564 + 75*b442*b565 + 43*b442*b569 + 201*b442*b570 + 2*b442*b572
      + 5*b442*b574 + 26*b442*b577 + 26*b442*b585 + 2*b442*b586 + 37*b442*b588
      + 9*b442*b589 + 20*b442*b590 + 100*b442*b591 + 16*b442*b592 + 30*b442*
     b593 + 12*b442*b596 + 3*b442*b597 + 44*b442*b599 + 30*b442*b603 + 2*b442*
     b604 + 34*b442*b605 + 29*b442*b608 + 11*b442*b609 + 98*b442*b610 + 47*b442
     *b615 + 2*b443*b512 + 9*b443*b514 + 21*b443*b515 + 32*b443*b518 + 37*b443*
     b522 + 19*b443*b526 + 14*b443*b532 + 53*b443*b533 + 14*b443*b534 + 12*b443
     *b536 + 133*b443*b539 + 7*b443*b541 + 5*b443*b543 + 19*b443*b545 + 29*b443
     *b547 + 35*b443*b554 + 5*b443*b556 + 157*b443*b557 + b443*b559 + 8*b443*
     b560 + 6*b443*b565 + 295*b443*b567 + 65*b443*b569 + 6*b443*b574 + 367*b443
     *b584 + 16*b443*b586 + 81*b443*b587 + 36*b443*b592 + 40*b443*b593 + 52*
     b443*b596 + 40*b443*b598 + 14*b443*b599 + 23*b443*b600 + 200*b443*b601 + 6
     *b443*b605 + 3*b443*b607 + 19*b443*b612 + 9*b443*b613 + 4*b443*b614 + 33*
     b443*b618 + 25*b444*b512 + 25*b444*b513 + 12*b444*b514 + 105*b444*b515 + 
     19*b444*b521 + 109*b444*b523 + 28*b444*b524 + 104*b444*b525 + 21*b444*b526
      + 35*b444*b528 + 126*b444*b529 + 101*b444*b531 + 13*b444*b534 + 8*b444*
     b536 + 41*b444*b537 + 21*b444*b539 + 14*b444*b540 + 41*b444*b541 + 3*b444*
     b542 + 6*b444*b545 + 77*b444*b553 + 42*b444*b555 + 36*b444*b558 + 5*b444*
     b559 + 22*b444*b561 + 195*b444*b568 + 34*b444*b572 + 48*b444*b574 + 2*b444
     *b577 + 37*b444*b578 + 37*b444*b581 + 42*b444*b585 + 32*b444*b586 + 14*
     b444*b587 + 2*b444*b588 + 66*b444*b590 + 22*b444*b591 + 5*b444*b592 + 127*
     b444*b594 + 11*b444*b597 + 34*b444*b598 + b444*b602 + 17*b444*b605 + 15*
     b444*b606 + 20*b444*b607 + 299*b444*b609 + 12*b444*b613 + 2*b444*b617 + 51
     *b445*b512 + 28*b445*b514 + 3*b445*b515 + 66*b445*b518 + 40*b445*b521 + 11
     *b445*b527 + 8*b445*b528 + 24*b445*b530 + 79*b445*b532 + 20*b445*b535 + 12
     *b445*b541 + 23*b445*b542 + 33*b445*b547 + 32*b445*b551 + 23*b445*b553 + 
     46*b445*b554 + 38*b445*b558 + 13*b445*b559 + 213*b445*b560 + 64*b445*b562
      + 153*b445*b564 + 4*b445*b567 + 284*b445*b570 + 20*b445*b572 + 13*b445*
     b573 + 24*b445*b574 + 6*b445*b578 + 59*b445*b584 + 12*b445*b586 + 179*b445
     *b588 + 72*b445*b591 + 14*b445*b594 + 15*b445*b595 + 14*b445*b597 + 7*b445
     *b601 + 31*b445*b603 + 13*b445*b604 + 187*b445*b608 + 349*b445*b609 + 3*
     b445*b610 + 51*b445*b612 + 11*b445*b614 + 7*b445*b615 + 15*b445*b616 + 98*
     b446*b514 + 92*b446*b517 + 33*b446*b522 + 11*b446*b523 + 14*b446*b526 + 55
     *b446*b527 + 12*b446*b528 + 44*b446*b530 + 55*b446*b532 + 61*b446*b535 + 
     11*b446*b536 + 27*b446*b537 + 18*b446*b539 + 4*b446*b542 + 171*b446*b545
      + 8*b446*b546 + 67*b446*b549 + 40*b446*b550 + 21*b446*b555 + 7*b446*b556
      + 49*b446*b558 + 6*b446*b559 + 77*b446*b561 + 2*b446*b563 + 172*b446*b565
      + 110*b446*b570 + 42*b446*b572 + 6*b446*b573 + 11*b446*b574 + 19*b446*
     b575 + 15*b446*b576 + 2*b446*b579 + 24*b446*b583 + 41*b446*b585 + 50*b446*
     b586 + 19*b446*b588 + 2*b446*b589 + 21*b446*b592 + 30*b446*b593 + b446*
     b594 + 16*b446*b596 + 3*b446*b597 + 2*b446*b598 + 10*b446*b601 + 3*b446*
     b603 + 39*b446*b604 + 12*b446*b605 + 26*b446*b606 + 4*b446*b607 + 32*b446*
     b612 + 24*b446*b613 + 93*b446*b614 + 12*b446*b615 + 3*b447*b512 + 2*b447*
     b526 + 14*b447*b528 + 16*b447*b529 + 16*b447*b531 + 11*b447*b533 + b447*
     b543 + 3*b447*b548 + 8*b447*b552 + 13*b447*b554 + 5*b447*b556 + 7*b447*
     b565 + 8*b447*b569 + 6*b447*b570 + 23*b447*b574 + 8*b447*b583 + 3*b447*
     b584 + 3*b447*b586 + 3*b447*b597 + 21*b447*b599 + 28*b447*b600 + 5*b447*
     b601 + 19*b447*b602 + 6*b447*b609 + 14*b447*b610 + 3*b447*b611 + 32*b448*
     b514 + 29*b448*b515 + 20*b448*b516 + 28*b448*b517 + 14*b448*b519 + 29*b448
     *b522 + 47*b448*b523 + 4*b448*b525 + 133*b448*b526 + 9*b448*b527 + 16*b448
     *b528 + 58*b448*b529 + 12*b448*b530 + 117*b448*b533 + 32*b448*b534 + 8*
     b448*b537 + 29*b448*b539 + 30*b448*b541 + 13*b448*b544 + 4*b448*b547 + 31*
     b448*b548 + 18*b448*b551 + 14*b448*b552 + 44*b448*b553 + 25*b448*b557 + 18
     *b448*b559 + 23*b448*b560 + 14*b448*b564 + 82*b448*b568 + 164*b448*b569 + 
     11*b448*b573 + 18*b448*b580 + 206*b448*b584 + 2*b448*b586 + 79*b448*b587
      + 41*b448*b591 + 20*b448*b592 + 28*b448*b593 + 6*b448*b594 + 29*b448*b596
      + 107*b448*b598 + 38*b448*b599 + 30*b448*b602 + 73*b448*b603 + 63*b448*
     b605 + 38*b448*b608 + 133*b448*b610 + 47*b448*b612 + 28*b448*b613 + 78*
     b448*b617 + 61*b449*b514 + 21*b449*b523 + 28*b449*b524 + 30*b449*b525 + 6*
     b449*b526 + 12*b449*b527 + 41*b449*b528 + 7*b449*b529 + 38*b449*b530 + 20*
     b449*b532 + 8*b449*b534 + 8*b449*b535 + 33*b449*b539 + 51*b449*b540 + 10*
     b449*b544 + 92*b449*b545 + 43*b449*b547 + 25*b449*b548 + 18*b449*b550 + 12
     *b449*b555 + 64*b449*b558 + 129*b449*b561 + 64*b449*b562 + 133*b449*b565
      + 160*b449*b567 + 201*b449*b568 + 193*b449*b570 + 18*b449*b572 + 18*b449*
     b573 + 27*b449*b574 + 32*b449*b575 + 21*b449*b578 + 31*b449*b580 + 6*b449*
     b584 + 53*b449*b586 + 34*b449*b589 + 21*b449*b592 + 55*b449*b593 + b449*
     b596 + 39*b449*b599 + 14*b449*b600 + 43*b449*b602 + 31*b449*b605 + 67*b449
     *b606 + 61*b449*b612 + 153*b449*b613 + 5*b449*b614 + 14*b450*b512 + 7*b450
     *b515 + 16*b450*b517 + 23*b450*b523 + 13*b450*b525 + 75*b450*b528 + 17*
     b450*b529 + 14*b450*b530 + 22*b450*b532 + 15*b450*b534 + 6*b450*b535 + 7*
     b450*b536 + 3*b450*b540 + 2*b450*b541 + 29*b450*b546 + 23*b450*b547 + 7*
     b450*b550 + 12*b450*b551 + 23*b450*b553 + 27*b450*b554 + b450*b556 + 68*
     b450*b558 + 164*b450*b568 + 12*b450*b573 + 8*b450*b575 + 17*b450*b576 + 36
     *b450*b578 + 14*b450*b586 + 11*b450*b589 + 51*b450*b592 + 10*b450*b594 + 2
     *b450*b595 + 24*b450*b597 + 55*b450*b601 + 11*b450*b603 + 10*b450*b604 + 
     17*b450*b608 + 147*b450*b609 + 172*b450*b610 + 17*b450*b613 + 43*b450*b614
      + 62*b450*b615 + 93*b450*b616 + 76*b450*b617 + 28*b451*b512 + 10*b451*
     b514 + 12*b451*b516 + 47*b451*b519 + 33*b451*b525 + 31*b451*b526 + 3*b451*
     b527 + 38*b451*b528 + b451*b529 + 13*b451*b530 + 11*b451*b532 + 121*b451*
     b533 + 12*b451*b534 + 29*b451*b535 + 27*b451*b540 + 14*b451*b541 + 40*b451
     *b542 + 33*b451*b547 + 40*b451*b548 + 12*b451*b549 + 12*b451*b550 + 5*b451
     *b551 + 7*b451*b552 + 25*b451*b554 + 47*b451*b555 + 26*b451*b556 + 11*b451
     *b558 + 11*b451*b559 + 219*b451*b565 + 176*b451*b566 + 14*b451*b568 + 76*
     b451*b570 + 8*b451*b574 + 6*b451*b575 + 4*b451*b576 + 35*b451*b577 + 9*
     b451*b586 + 50*b451*b587 + 26*b451*b588 + 7*b451*b589 + 35*b451*b590 + 112
     *b451*b592 + 2*b451*b594 + 35*b451*b595 + 21*b451*b599 + 82*b451*b601 + 47
     *b451*b602 + b451*b603 + 13*b451*b605 + 50*b451*b606 + 64*b451*b607 + 95*
     b451*b609 + 30*b451*b613 + 94*b451*b615 + 84*b451*b617 + 31*b451*b618 + 4*
     b452*b513 + 39*b452*b514 + 29*b452*b517 + 16*b452*b518 + 46*b452*b523 + 30
     *b452*b524 + 8*b452*b525 + 17*b452*b526 + 108*b452*b528 + 11*b452*b529 + 6
     *b452*b531 + 25*b452*b532 + 18*b452*b535 + 2*b452*b536 + 55*b452*b537 + 16
     *b452*b540 + 7*b452*b545 + 39*b452*b547 + 68*b452*b548 + 53*b452*b549 + 
     b452*b552 + 66*b452*b553 + 15*b452*b554 + 32*b452*b555 + 25*b452*b557 + 29
     *b452*b558 + 22*b452*b559 + 26*b452*b560 + 14*b452*b561 + 25*b452*b562 + 
     38*b452*b565 + 273*b452*b568 + 18*b452*b572 + 3*b452*b574 + 3*b452*b576 + 
     22*b452*b578 + 25*b452*b581 + 28*b452*b586 + 25*b452*b588 + 28*b452*b591
      + 40*b452*b592 + 118*b452*b594 + 4*b452*b595 + 7*b452*b597 + 4*b452*b598
      + 15*b452*b599 + 44*b452*b601 + 80*b452*b602 + 66*b452*b603 + 19*b452*
     b604 + 50*b452*b605 + 302*b452*b609 + 6*b452*b612 + 150*b452*b613 + 4*b452
     *b614 + 27*b452*b615 + 6*b452*b617 + 9*b453*b512 + 3*b453*b515 + 25*b453*
     b517 + 21*b453*b518 + b453*b519 + 41*b453*b520 + 14*b453*b524 + 21*b453*
     b525 + 13*b453*b527 + 58*b453*b530 + 2*b453*b531 + 30*b453*b532 + 17*b453*
     b534 + 19*b453*b535 + 27*b453*b537 + 5*b453*b540 + 78*b453*b542 + 23*b453*
     b543 + 4*b453*b545 + 31*b453*b549 + 23*b453*b551 + 17*b453*b552 + 22*b453*
     b553 + 9*b453*b554 + 50*b453*b555 + 37*b453*b556 + 11*b453*b558 + 17*b453*
     b559 + 62*b453*b560 + 21*b453*b562 + 16*b453*b564 + 11*b453*b565 + 107*
     b453*b568 + 7*b453*b569 + 76*b453*b570 + 3*b453*b571 + 21*b453*b572 + 7*
     b453*b574 + 71*b453*b578 + 24*b453*b581 + 13*b453*b582 + 2*b453*b588 + 31*
     b453*b592 + 9*b453*b597 + 40*b453*b603 + 28*b453*b604 + 264*b453*b605 + 
     104*b453*b606 + 40*b453*b607 + 37*b453*b608 + 14*b453*b609 + 224*b453*b610
      + 10*b453*b611 + 20*b453*b612 + 2*b453*b613 + 32*b453*b614 + 41*b453*b616
      + 40*b453*b617 + 9*b453*b618 + 53*b454*b511 + 41*b454*b512 + 22*b454*b513
      + 12*b454*b516 + 82*b454*b522 + 13*b454*b524 + 57*b454*b525 + 7*b454*b526
      + 25*b454*b527 + 34*b454*b528 + 33*b454*b530 + 38*b454*b531 + 17*b454*
     b533 + 20*b454*b534 + 29*b454*b540 + 50*b454*b545 + 28*b454*b546 + 15*b454
     *b547 + 47*b454*b549 + 65*b454*b550 + 22*b454*b553 + 12*b454*b554 + b454*
     b555 + 13*b454*b558 + 4*b454*b560 + 20*b454*b563 + 12*b454*b564 + 87*b454*
     b566 + 26*b454*b567 + 252*b454*b569 + 121*b454*b571 + 14*b454*b574 + 56*
     b454*b575 + 67*b454*b576 + 11*b454*b577 + 68*b454*b580 + 38*b454*b583 + 
     213*b454*b585 + 27*b454*b588 + 66*b454*b589 + 48*b454*b591 + 19*b454*b593
      + 100*b454*b594 + 61*b454*b596 + 27*b454*b597 + 17*b454*b600 + 58*b454*
     b602 + 19*b454*b603 + 88*b454*b604 + 7*b454*b607 + 4*b454*b611 + 47*b454*
     b612 + 3*b454*b615 + 4*b455*b513 + 51*b455*b515 + 25*b455*b517 + 32*b455*
     b518 + 8*b455*b519 + 37*b455*b522 + 34*b455*b526 + 35*b455*b527 + 5*b455*
     b532 + 30*b455*b534 + 18*b455*b535 + 3*b455*b539 + 27*b455*b541 + 65*b455*
     b543 + b455*b547 + 4*b455*b551 + 38*b455*b553 + 33*b455*b554 + 35*b455*
     b555 + b455*b556 + 31*b455*b557 + 36*b455*b558 + 28*b455*b560 + 8*b455*
     b561 + 81*b455*b562 + 9*b455*b564 + 76*b455*b568 + 13*b455*b570 + 12*b455*
     b571 + 19*b455*b578 + 9*b455*b581 + 100*b455*b584 + 32*b455*b591 + 28*b455
     *b592 + 18*b455*b595 + 12*b455*b600 + 52*b455*b601 + 10*b455*b603 + 27*
     b455*b605 + 109*b455*b609 + 33*b455*b610 + 34*b455*b611 + 60*b455*b613 + 
     35*b455*b614 + 30*b455*b615 + 5*b456*b512 + 3*b456*b516 + 11*b456*b518 + 5
     *b456*b519 + 21*b456*b523 + 206*b456*b524 + 48*b456*b525 + 171*b456*b528
      + 58*b456*b530 + 14*b456*b531 + 4*b456*b532 + 27*b456*b534 + 15*b456*b535
      + 63*b456*b539 + 4*b456*b540 + 42*b456*b544 + 38*b456*b546 + b456*b547 + 
     53*b456*b548 + b456*b550 + 9*b456*b551 + 167*b456*b553 + 44*b456*b554 + 68
     *b456*b556 + 24*b456*b558 + 8*b456*b563 + 4*b456*b564 + 69*b456*b566 + 8*
     b456*b568 + 143*b456*b570 + 41*b456*b571 + 52*b456*b572 + 30*b456*b573 + 7
     *b456*b574 + 27*b456*b576 + 92*b456*b578 + 40*b456*b580 + 17*b456*b581 + 
     221*b456*b585 + 2*b456*b588 + 12*b456*b590 + 19*b456*b594 + 38*b456*b595
      + 79*b456*b596 + 11*b456*b597 + 25*b456*b602 + 3*b456*b603 + 18*b456*b606
      + 25*b456*b609 + 310*b456*b610 + 28*b456*b611 + 9*b456*b613 + 57*b456*
     b616 + b456*b618 + 9*b457*b515 + 27*b457*b517 + 73*b457*b518 + 28*b457*
     b519 + 20*b457*b520 + 4*b457*b521 + 4*b457*b523 + 18*b457*b525 + 4*b457*
     b526 + 36*b457*b527 + 23*b457*b528 + 62*b457*b529 + 97*b457*b532 + 6*b457*
     b533 + 88*b457*b535 + 16*b457*b545 + 49*b457*b546 + 56*b457*b551 + 60*b457
     *b552 + 13*b457*b557 + 61*b457*b559 + 3*b457*b561 + 123*b457*b563 + 26*
     b457*b564 + 14*b457*b565 + 154*b457*b566 + 220*b457*b569 + 8*b457*b571 + 
     22*b457*b573 + 105*b457*b575 + 2*b457*b581 + 64*b457*b585 + 18*b457*b587
      + 13*b457*b589 + 80*b457*b591 + 16*b457*b592 + 29*b457*b596 + 13*b457*
     b597 + 23*b457*b598 + 55*b457*b599 + 16*b457*b601 + 38*b457*b602 + 14*b457
     *b603 + 14*b457*b607 + 43*b457*b610 + 13*b457*b611 + 3*b457*b613 + b457*
     b616 + 16*b458*b513 + 14*b458*b515 + 20*b458*b516 + 25*b458*b517 + 30*b458
     *b519 + 37*b458*b520 + 13*b458*b521 + 9*b458*b523 + 76*b458*b524 + 8*b458*
     b525 + 14*b458*b526 + b458*b527 + 3*b458*b529 + 20*b458*b531 + 13*b458*
     b532 + 87*b458*b533 + 5*b458*b534 + 14*b458*b541 + 92*b458*b544 + 8*b458*
     b546 + 14*b458*b550 + 3*b458*b552 + 4*b458*b556 + 13*b458*b568 + 68*b458*
     b570 + 22*b458*b571 + 68*b458*b572 + 10*b458*b573 + 45*b458*b574 + 11*b458
     *b576 + 12*b458*b579 + b458*b581 + 2*b458*b582 + b458*b586 + 6*b458*b591
      + 20*b458*b592 + 25*b458*b593 + 14*b458*b595 + 14*b458*b596 + 13*b458*
     b598 + 36*b458*b599 + 29*b458*b601 + 36*b458*b605 + 44*b458*b606 + 91*b458
     *b607 + 7*b458*b609 + 104*b458*b610 + 6*b458*b611 + 9*b458*b613 + 8*b458*
     b614 + 11*b458*b617 + 12*b459*b511 + 5*b459*b517 + 9*b459*b519 + 6*b459*
     b521 + 4*b459*b525 + 10*b459*b533 + 46*b459*b537 + 4*b459*b545 + 8*b459*
     b547 + 47*b459*b557 + 3*b459*b559 + 8*b459*b565 + 30*b459*b566 + 8*b459*
     b568 + 20*b459*b571 + 14*b459*b572 + 17*b459*b573 + 14*b459*b575 + 26*b459
     *b578 + 4*b459*b585 + 125*b459*b589 + 8*b459*b592 + 23*b459*b593 + 9*b459*
     b596 + 12*b459*b598 + 3*b459*b599 + 9*b459*b603 + 14*b459*b606 + 5*b459*
     b609 + 14*b459*b615 + 34*b460*b511 + 36*b460*b512 + 116*b460*b513 + 40*
     b460*b515 + 32*b460*b517 + 36*b460*b518 + 65*b460*b521 + 4*b460*b523 + 12*
     b460*b524 + 43*b460*b525 + 18*b460*b526 + 156*b460*b527 + 15*b460*b528 + 6
     *b460*b529 + 9*b460*b531 + 142*b460*b532 + 25*b460*b533 + 76*b460*b535 + 
     25*b460*b537 + 33*b460*b538 + 14*b460*b542 + 62*b460*b543 + 23*b460*b544
      + 45*b460*b545 + 66*b460*b547 + 4*b460*b553 + 32*b460*b554 + 14*b460*b555
      + 57*b460*b563 + 49*b460*b567 + 237*b460*b568 + 25*b460*b569 + 13*b460*
     b572 + 2*b460*b573 + 40*b460*b574 + 11*b460*b576 + 10*b460*b578 + 15*b460*
     b580 + 25*b460*b581 + 3*b460*b583 + 12*b460*b586 + 7*b460*b590 + 60*b460*
     b595 + 38*b460*b599 + 7*b460*b600 + 41*b460*b602 + 16*b460*b604 + 23*b460*
     b605 + 3*b460*b606 + 5*b460*b607 + 64*b460*b608 + 184*b460*b609 + 53*b460*
     b611 + 22*b460*b612 + 52*b460*b613 + b460*b616 + 10*b460*b618 + 4*b461*
     b511 + 46*b461*b514 + 23*b461*b515 + 101*b461*b516 + 131*b461*b518 + 2*
     b461*b520 + 8*b461*b522 + 10*b461*b524 + 2*b461*b525 + 33*b461*b526 + 109*
     b461*b527 + 3*b461*b530 + 117*b461*b532 + 21*b461*b533 + 100*b461*b534 + 
     53*b461*b535 + 36*b461*b537 + 28*b461*b538 + 10*b461*b539 + 3*b461*b540 + 
     17*b461*b554 + 35*b461*b557 + 34*b461*b558 + 29*b461*b562 + 25*b461*b564
      + 37*b461*b566 + 201*b461*b567 + 35*b461*b568 + 93*b461*b570 + 53*b461*
     b572 + 17*b461*b573 + 29*b461*b577 + 11*b461*b578 + 6*b461*b579 + 45*b461*
     b580 + 28*b461*b581 + 137*b461*b584 + 67*b461*b586 + 26*b461*b593 + 17*
     b461*b594 + 65*b461*b595 + 9*b461*b596 + 30*b461*b598 + 6*b461*b599 + 2*
     b461*b602 + 25*b461*b608 + 41*b461*b609 + 63*b461*b612 + b461*b613 + 18*
     b461*b617 + 3*b462*b511 + 4*b462*b513 + 113*b462*b519 + 3*b462*b521 + 29*
     b462*b522 + 7*b462*b524 + 13*b462*b528 + 24*b462*b530 + 162*b462*b539 + 6*
     b462*b540 + 15*b462*b542 + 14*b462*b545 + 9*b462*b546 + 13*b462*b550 + 4*
     b462*b563 + 2*b462*b565 + b462*b567 + 44*b462*b569 + 45*b462*b572 + 15*
     b462*b575 + 15*b462*b578 + 7*b462*b592 + 2*b462*b595 + 27*b462*b597 + 22*
     b462*b603 + 17*b462*b604 + 9*b462*b606 + 24*b462*b610 + 16*b462*b613 + 30*
     b463*b511 + 53*b463*b515 + 145*b463*b516 + 44*b463*b517 + 63*b463*b518 + 
     12*b463*b519 + 27*b463*b520 + 28*b463*b521 + 44*b463*b523 + 11*b463*b524
      + 28*b463*b525 + 21*b463*b528 + 12*b463*b529 + 21*b463*b530 + 4*b463*b531
      + 81*b463*b532 + 12*b463*b533 + 67*b463*b535 + 17*b463*b537 + 3*b463*b544
      + 27*b463*b547 + 24*b463*b555 + 7*b463*b559 + 58*b463*b560 + 10*b463*b563
      + 108*b463*b567 + 186*b463*b568 + 42*b463*b569 + 39*b463*b570 + b463*b572
      + 7*b463*b575 + 26*b463*b578 + 22*b463*b587 + 41*b463*b593 + 26*b463*b594
      + 27*b463*b597 + 33*b463*b598 + 19*b463*b601 + 3*b463*b603 + 15*b463*b605
      + 32*b463*b607 + 76*b463*b610 + 42*b463*b611 + 6*b463*b612 + 71*b463*b613
      + 47*b463*b617 + 34*b464*b511 + 7*b464*b515 + 72*b464*b517 + 29*b464*b518
      + 29*b464*b520 + 14*b464*b523 + 32*b464*b525 + 82*b464*b529 + 39*b464*
     b532 + 16*b464*b541 + 11*b464*b545 + 38*b464*b546 + 4*b464*b547 + 73*b464*
     b550 + 53*b464*b551 + 100*b464*b556 + 64*b464*b559 + 12*b464*b560 + 15*
     b464*b561 + 108*b464*b563 + 12*b464*b565 + 160*b464*b566 + 50*b464*b567 + 
     38*b464*b570 + 20*b464*b573 + b464*b579 + 28*b464*b589 + 26*b464*b598 + 23
     *b464*b599 + 14*b464*b602 + 132*b464*b603 + 15*b464*b605 + 4*b464*b606 + 
     142*b464*b610 + 23*b464*b611 + 59*b464*b613 + 3*b464*b615 + 48*b465*b511
      + 7*b465*b513 + 9*b465*b514 + 20*b465*b516 + 31*b465*b520 + 8*b465*b525
      + b465*b526 + 75*b465*b527 + 6*b465*b533 + 79*b465*b534 + 15*b465*b537 + 
     22*b465*b541 + 4*b465*b545 + 5*b465*b552 + 42*b465*b554 + 12*b465*b555 + 
     18*b465*b557 + b465*b559 + 72*b465*b563 + 223*b465*b568 + 25*b465*b572 + 
     22*b465*b574 + 10*b465*b577 + 53*b465*b578 + 49*b465*b580 + 17*b465*b588
      + 52*b465*b589 + 10*b465*b590 + 119*b465*b593 + 37*b465*b594 + 60*b465*
     b597 + 26*b465*b598 + 25*b465*b603 + 26*b465*b604 + 15*b465*b606 + 15*b465
     *b607 + 176*b465*b609 + 20*b465*b610 + 40*b465*b612 + 25*b465*b613 + 5*
     b465*b617 + 14*b466*b511 + 40*b466*b513 + 27*b466*b514 + 28*b466*b515 + 39
     *b466*b518 + 59*b466*b522 + 14*b466*b524 + 112*b466*b526 + 15*b466*b534 + 
     29*b466*b535 + 5*b466*b536 + 37*b466*b537 + 16*b466*b545 + 13*b466*b546 + 
     5*b466*b548 + 30*b466*b551 + 32*b466*b553 + 21*b466*b554 + 134*b466*b555
      + 42*b466*b556 + 6*b466*b559 + 19*b466*b561 + 49*b466*b562 + 294*b466*
     b567 + 2*b466*b569 + 421*b466*b570 + 18*b466*b572 + 63*b466*b575 + 15*b466
     *b576 + 38*b466*b577 + 35*b466*b580 + 15*b466*b583 + 7*b466*b591 + 43*b466
     *b593 + 50*b466*b596 + 17*b466*b597 + 22*b466*b598 + 18*b466*b599 + 51*
     b466*b600 + 35*b466*b603 + 86*b466*b605 + 53*b466*b606 + 14*b466*b610 + 
     100*b466*b611 + 56*b466*b613 + 30*b466*b615 + 99*b466*b617 + 45*b467*b511
      + 3*b467*b512 + 92*b467*b513 + 58*b467*b515 + 23*b467*b517 + 17*b467*b518
      + 3*b467*b520 + 65*b467*b521 + 50*b467*b522 + 19*b467*b524 + 33*b467*b526
      + 64*b467*b527 + 48*b467*b532 + 25*b467*b535 + 16*b467*b540 + 2*b467*b548
      + 16*b467*b555 + 34*b467*b556 + 30*b467*b559 + 111*b467*b560 + 12*b467*
     b562 + 40*b467*b564 + 270*b467*b567 + 311*b467*b570 + 10*b467*b572 + 26*
     b467*b573 + 6*b467*b576 + 25*b467*b579 + 17*b467*b580 + 73*b467*b581 + 42*
     b467*b583 + 37*b467*b588 + 44*b467*b590 + 39*b467*b591 + 25*b467*b595 + 35
     *b467*b596 + 55*b467*b597 + 53*b467*b599 + 24*b467*b603 + 80*b467*b606 + 
     86*b467*b608 + 50*b467*b609 + 77*b467*b611 + 11*b467*b615 + 36*b467*b616
      + 63*b467*b617 + 22*b468*b511 + 46*b468*b518 + 4*b468*b519 + 10*b468*b529
      + 9*b468*b530 + 4*b468*b532 + 9*b468*b534 + 53*b468*b540 + 21*b468*b541
      + 21*b468*b545 + 108*b468*b546 + 11*b468*b547 + 2*b468*b548 + 3*b468*b550
      + 55*b468*b556 + 6*b468*b559 + 9*b468*b561 + 63*b468*b563 + 20*b468*b566
      + 14*b468*b567 + 11*b468*b576 + b468*b580 + b468*b583 + 4*b468*b584 + 2*
     b468*b585 + 13*b468*b591 + b468*b593 + 3*b468*b596 + 17*b468*b599 + 5*b468
     *b602 + 44*b468*b603 + 3*b468*b606 + b468*b607 + 2*b468*b613 + 38*b469*
     b511 + 27*b469*b512 + 36*b469*b513 + 43*b469*b516 + 18*b469*b517 + 18*b469
     *b520 + 100*b469*b522 + 86*b469*b523 + 3*b469*b524 + 14*b469*b525 + 23*
     b469*b527 + 95*b469*b528 + 43*b469*b530 + 2*b469*b534 + 11*b469*b535 + 8*
     b469*b537 + 5*b469*b542 + 59*b469*b545 + 53*b469*b549 + 60*b469*b550 + 32*
     b469*b553 + 5*b469*b563 + 14*b469*b565 + 26*b469*b566 + 68*b469*b567 + 148
     *b469*b569 + 22*b469*b572 + 12*b469*b574 + 59*b469*b575 + 8*b469*b581 + 74
     *b469*b583 + 261*b469*b585 + 38*b469*b588 + 6*b469*b589 + 45*b469*b591 + 
     129*b469*b594 + 6*b469*b596 + 28*b469*b597 + 38*b469*b603 + 13*b469*b604
      + 26*b469*b606 + 32*b469*b612 + 4*b470*b512 + 30*b470*b515 + 37*b470*b517
      + 41*b470*b518 + 12*b470*b519 + 2*b470*b521 + 16*b470*b522 + 63*b470*b523
      + b470*b527 + 128*b470*b531 + 32*b470*b532 + 4*b470*b536 + 36*b470*b539
      + 11*b470*b544 + 13*b470*b546 + 17*b470*b547 + 11*b470*b549 + 69*b470*
     b550 + 25*b470*b552 + 40*b470*b556 + 13*b470*b558 + 12*b470*b560 + 66*b470
     *b562 + 4*b470*b564 + 62*b470*b565 + 13*b470*b568 + 46*b470*b569 + 82*b470
     *b570 + 2*b470*b572 + 21*b470*b576 + 2*b470*b580 + 18*b470*b581 + 29*b470*
     b582 + 32*b470*b584 + 29*b470*b588 + 40*b470*b593 + 26*b470*b595 + 11*b470
     *b602 + 45*b470*b603 + 85*b470*b604 + 6*b470*b605 + 30*b470*b607 + 4*b470*
     b608 + 5*b470*b613 + 11*b470*b614 + 3*b470*b616 + 60*b470*b618 + 3*b471*
     b513 + 49*b471*b518 + 53*b471*b522 + 6*b471*b524 + 21*b471*b526 + 54*b471*
     b527 + 16*b471*b528 + 9*b471*b531 + 54*b471*b532 + 11*b471*b533 + 6*b471*
     b535 + 38*b471*b543 + 2*b471*b544 + 42*b471*b545 + 51*b471*b547 + 124*b471
     *b548 + 32*b471*b549 + 12*b471*b553 + 22*b471*b556 + 115*b471*b559 + 43*
     b471*b561 + 36*b471*b562 + b471*b564 + 21*b471*b565 + 187*b471*b568 + 51*
     b471*b569 + 17*b471*b572 + 28*b471*b574 + 7*b471*b575 + 40*b471*b576 + 12*
     b471*b577 + 2*b471*b580 + 9*b471*b587 + 5*b471*b588 + 14*b471*b590 + 3*
     b471*b591 + 11*b471*b593 + 100*b471*b599 + 43*b471*b601 + 104*b471*b602 + 
     23*b471*b603 + 25*b471*b604 + 33*b471*b605 + 10*b471*b606 + 9*b471*b607 + 
     73*b471*b609 + 12*b471*b612 + 100*b471*b613 + 14*b471*b617 + 13*b471*b618
      + b472*b512 + 35*b472*b517 + 33*b472*b518 + 49*b472*b519 + 59*b472*b520
      + 9*b472*b521 + 31*b472*b523 + 26*b472*b526 + 13*b472*b527 + 3*b472*b528
      + 11*b472*b530 + 8*b472*b531 + 4*b472*b532 + 22*b472*b539 + 69*b472*b540
      + 24*b472*b543 + 8*b472*b544 + 39*b472*b546 + 35*b472*b547 + 74*b472*b548
      + 25*b472*b549 + 20*b472*b551 + 5*b472*b552 + 10*b472*b555 + 30*b472*b556
      + 7*b472*b557 + 58*b472*b559 + 4*b472*b560 + 10*b472*b561 + 23*b472*b562
      + 3*b472*b564 + 60*b472*b565 + 222*b472*b569 + 4*b472*b573 + 19*b472*b574
      + 11*b472*b575 + 21*b472*b577 + 35*b472*b578 + 10*b472*b588 + 36*b472*
     b590 + 36*b472*b591 + 14*b472*b592 + 30*b472*b593 + 34*b472*b594 + 3*b472*
     b596 + 52*b472*b599 + 18*b472*b601 + 90*b472*b603 + 125*b472*b604 + 8*b472
     *b605 + 24*b472*b608 + 158*b472*b609 + 32*b472*b612 + 4*b472*b615 + 5*b473
     *b515 + 36*b473*b518 + 2*b473*b521 + 27*b473*b522 + 21*b473*b524 + 21*b473
     *b525 + 30*b473*b529 + 59*b473*b530 + b473*b532 + 23*b473*b536 + 17*b473*
     b537 + 2*b473*b540 + 151*b473*b544 + 3*b473*b546 + b473*b551 + 6*b473*b552
      + 5*b473*b554 + 126*b473*b555 + 17*b473*b556 + 30*b473*b557 + 12*b473*
     b560 + 25*b473*b564 + 29*b473*b568 + 89*b473*b569 + 35*b473*b570 + 56*b473
     *b575 + b473*b576 + b473*b579 + 17*b473*b581 + 17*b473*b583 + 61*b473*b585
      + 191*b473*b587 + 4*b473*b593 + 21*b473*b595 + 66*b473*b598 + 22*b473*
     b600 + 31*b473*b602 + 6*b473*b603 + 41*b473*b605 + 38*b473*b607 + 470*b473
     *b610 + 20*b473*b611 + 8*b473*b613 + 42*b473*b616 + 3*b474*b514 + 7*b474*
     b515 + 8*b474*b517 + 31*b474*b519 + 29*b474*b521 + 9*b474*b523 + b474*b526
      + 22*b474*b527 + 23*b474*b528 + 44*b474*b530 + 37*b474*b532 + 15*b474*
     b536 + 29*b474*b537 + 10*b474*b539 + 7*b474*b541 + 5*b474*b542 + 4*b474*
     b546 + 29*b474*b547 + 32*b474*b548 + 19*b474*b550 + 53*b474*b551 + 10*b474
     *b554 + 26*b474*b557 + 72*b474*b565 + 16*b474*b566 + 93*b474*b567 + 40*
     b474*b568 + 102*b474*b569 + 43*b474*b573 + 16*b474*b575 + 10*b474*b576 + 
     12*b474*b577 + 26*b474*b579 + 22*b474*b582 + 55*b474*b588 + 47*b474*b593
      + b474*b594 + 14*b474*b595 + 56*b474*b597 + 25*b474*b599 + 15*b474*b600
      + 26*b474*b601 + 2*b474*b603 + 16*b474*b612 + 78*b474*b613 + 2*b474*b614
      + 4*b474*b618 + 140*b475*b513 + 19*b475*b515 + 21*b475*b517 + 31*b475*
     b520 + 16*b475*b521 + 13*b475*b525 + 19*b475*b529 + 16*b475*b530 + 25*b475
     *b532 + 33*b475*b535 + 7*b475*b536 + 45*b475*b541 + 16*b475*b543 + 29*b475
     *b547 + 35*b475*b548 + 6*b475*b551 + 69*b475*b552 + 7*b475*b555 + 10*b475*
     b556 + 15*b475*b557 + 42*b475*b558 + 5*b475*b559 + 177*b475*b562 + 175*
     b475*b566 + 78*b475*b567 + 135*b475*b568 + 224*b475*b569 + 52*b475*b573 + 
     8*b475*b578 + 34*b475*b580 + 24*b475*b581 + 122*b475*b588 + 16*b475*b589
      + 14*b475*b592 + 7*b475*b593 + 17*b475*b595 + b475*b596 + 3*b475*b599 + 2
     *b475*b600 + 32*b475*b602 + 3*b475*b603 + 6*b475*b605 + 100*b475*b610 + 29
     *b475*b613 + 11*b475*b615 + 31*b476*b513 + 55*b476*b515 + 3*b476*b517 + 64
     *b476*b520 + 29*b476*b530 + 5*b476*b534 + 62*b476*b536 + 74*b476*b539 + 72
     *b476*b541 + 41*b476*b542 + 15*b476*b543 + 20*b476*b546 + 7*b476*b548 + 59
     *b476*b550 + 14*b476*b551 + 35*b476*b552 + 9*b476*b553 + 21*b476*b561 + 9*
     b476*b563 + 60*b476*b566 + 38*b476*b567 + 151*b476*b568 + 323*b476*b569 + 
     35*b476*b573 + 7*b476*b578 + 23*b476*b579 + 8*b476*b580 + 16*b476*b582 + 
     105*b476*b585 + 18*b476*b588 + 43*b476*b589 + 22*b476*b590 + 13*b476*b591
      + 47*b476*b592 + 58*b476*b593 + 32*b476*b596 + 10*b476*b597 + b476*b598
      + 16*b476*b599 + 61*b476*b601 + 37*b476*b603 + 30*b476*b605 + 39*b476*
     b606 + 4*b476*b607 + 45*b476*b609 + 35*b476*b616 + 13*b476*b617 + 31*b476*
     b618 + 7*b477*b512 + 59*b477*b514 + 28*b477*b516 + 81*b477*b520 + 21*b477*
     b521 + 18*b477*b522 + 45*b477*b524 + 15*b477*b525 + 23*b477*b526 + 3*b477*
     b528 + 43*b477*b533 + 13*b477*b537 + 10*b477*b538 + 13*b477*b539 + 20*b477
     *b542 + 18*b477*b543 + 20*b477*b544 + 44*b477*b545 + 73*b477*b548 + 23*
     b477*b550 + 7*b477*b553 + b477*b557 + 46*b477*b559 + 22*b477*b560 + 29*
     b477*b561 + 35*b477*b564 + 241*b477*b567 + 141*b477*b568 + 30*b477*b571 + 
     21*b477*b572 + 2*b477*b573 + 75*b477*b574 + 56*b477*b576 + 37*b477*b577 + 
     13*b477*b578 + 62*b477*b579 + 50*b477*b582 + 85*b477*b585 + 17*b477*b586
      + 41*b477*b588 + 21*b477*b590 + 48*b477*b591 + 33*b477*b592 + 25*b477*
     b596 + 14*b477*b597 + 13*b477*b598 + 29*b477*b603 + 19*b477*b606 + 27*b477
     *b608 + 119*b477*b610 + 27*b477*b611 + b477*b612 + 14*b477*b614 + 11*b477*
     b615 + 16*b477*b616 + 54*b477*b617 + 30*b477*b618 + 61*b478*b512 + 25*b478
     *b513 + 50*b478*b514 + 35*b478*b518 + 28*b478*b519 + 70*b478*b521 + 54*
     b478*b522 + 4*b478*b526 + 26*b478*b527 + 12*b478*b529 + 18*b478*b532 + 6*
     b478*b534 + 47*b478*b535 + 45*b478*b537 + 14*b478*b539 + 45*b478*b541 + 
     175*b478*b549 + 76*b478*b550 + 72*b478*b551 + 30*b478*b552 + 66*b478*b556
      + 17*b478*b558 + 7*b478*b561 + 5*b478*b562 + 70*b478*b566 + 173*b478*b570
      + 56*b478*b571 + 8*b478*b572 + b478*b573 + 44*b478*b574 + b478*b581 + 8*
     b478*b582 + 343*b478*b584 + 4*b478*b587 + 9*b478*b589 + 31*b478*b591 + 36*
     b478*b593 + 3*b478*b595 + 12*b478*b597 + 7*b478*b598 + 5*b478*b599 + 7*
     b478*b601 + 60*b478*b605 + 6*b478*b606 + 6*b478*b607 + 243*b478*b610 + 14*
     b478*b611 + 37*b478*b615 + 12*b478*b616 + 9*b479*b513 + 18*b479*b515 + 10*
     b479*b516 + 11*b479*b519 + 54*b479*b522 + 70*b479*b523 + 25*b479*b525 + 24
     *b479*b526 + 3*b479*b529 + 5*b479*b530 + 8*b479*b531 + 48*b479*b537 + 11*
     b479*b540 + 6*b479*b544 + 4*b479*b546 + 20*b479*b548 + b479*b549 + 2*b479*
     b551 + 81*b479*b553 + 2*b479*b555 + 133*b479*b557 + 5*b479*b558 + 14*b479*
     b559 + 6*b479*b562 + 5*b479*b563 + 58*b479*b566 + 209*b479*b570 + 11*b479*
     b571 + 9*b479*b572 + 7*b479*b573 + 14*b479*b577 + 12*b479*b578 + 18*b479*
     b579 + 273*b479*b585 + 34*b479*b587 + 19*b479*b588 + 100*b479*b589 + 2*
     b479*b590 + 22*b479*b594 + 33*b479*b597 + 9*b479*b598 + 21*b479*b599 + 21*
     b479*b602 + 35*b479*b605 + 37*b479*b609 + 347*b479*b610 + 2*b479*b611 + 20
     *b479*b613 + 2*b479*b615 + 6*b479*b616 + 12*b479*b618 + 11*b480*b512 + 27*
     b480*b513 + 55*b480*b516 + 78*b480*b517 + 11*b480*b520 + 4*b480*b521 + 42*
     b480*b522 + 4*b480*b524 + 20*b480*b525 + 64*b480*b529 + 17*b480*b530 + 12*
     b480*b533 + 16*b480*b534 + 9*b480*b535 + 23*b480*b537 + 63*b480*b541 + 23*
     b480*b544 + 26*b480*b547 + 72*b480*b548 + 10*b480*b551 + 13*b480*b553 + 17
     *b480*b555 + 3*b480*b556 + 24*b480*b559 + 29*b480*b560 + 16*b480*b563 + 17
     *b480*b564 + 94*b480*b566 + 17*b480*b567 + 14*b480*b571 + 28*b480*b572 + 
     153*b480*b574 + 11*b480*b577 + 37*b480*b579 + b480*b581 + 5*b480*b585 + 2*
     b480*b587 + 30*b480*b588 + 30*b480*b589 + 14*b480*b592 + 10*b480*b593 + 9*
     b480*b594 + 54*b480*b595 + b480*b597 + 34*b480*b599 + 10*b480*b600 + 5*
     b480*b601 + 116*b480*b610 + 63*b480*b612 + 20*b480*b613 + 122*b480*b614 + 
     75*b480*b618 + 5*b481*b511 + 2*b481*b512 + 4*b481*b513 + 59*b481*b515 + 
     b481*b516 + 83*b481*b519 + 73*b481*b522 + 7*b481*b531 + 14*b481*b533 + 
     b481*b535 + 33*b481*b537 + 20*b481*b539 + 21*b481*b540 + 14*b481*b543 + 6*
     b481*b545 + 24*b481*b546 + 10*b481*b549 + 129*b481*b551 + 29*b481*b556 + 6
     *b481*b557 + 8*b481*b558 + 37*b481*b559 + 7*b481*b562 + 7*b481*b565 + 73*
     b481*b570 + 15*b481*b571 + 17*b481*b572 + 15*b481*b574 + 10*b481*b576 + 29
     *b481*b578 + 31*b481*b580 + 31*b481*b583 + 211*b481*b584 + 10*b481*b587 + 
     2*b481*b590 + 23*b481*b592 + 31*b481*b595 + 83*b481*b596 + 61*b481*b601 + 
     22*b481*b607 + 14*b481*b613 + 7*b481*b614 + 14*b481*b616 + 29*b481*b617 + 
     33*b481*b618 + 79*b482*b511 + 13*b482*b514 + 23*b482*b515 + 7*b482*b517 + 
     57*b482*b518 + 33*b482*b519 + 6*b482*b520 + 70*b482*b521 + 54*b482*b522 + 
     26*b482*b523 + 5*b482*b524 + 19*b482*b525 + 24*b482*b527 + 19*b482*b532 + 
     73*b482*b533 + 26*b482*b534 + 72*b482*b535 + 9*b482*b537 + 57*b482*b538 + 
     95*b482*b542 + 85*b482*b543 + 8*b482*b546 + 14*b482*b547 + 55*b482*b548 + 
     9*b482*b549 + 28*b482*b551 + 3*b482*b552 + 40*b482*b553 + 65*b482*b555 + 8
     *b482*b559 + b482*b560 + 59*b482*b563 + b482*b564 + 313*b482*b566 + 136*
     b482*b568 + 20*b482*b572 + 4*b482*b573 + 24*b482*b574 + 88*b482*b575 + 30*
     b482*b576 + 61*b482*b578 + 98*b482*b581 + 19*b482*b583 + 150*b482*b584 + 
     28*b482*b588 + 52*b482*b590 + 20*b482*b593 + 19*b482*b597 + 32*b482*b600
      + b482*b601 + 4*b482*b602 + 13*b482*b603 + 26*b482*b604 + 37*b482*b605 + 
     150*b482*b609 + 44*b482*b611 + 66*b482*b613 + 21*b482*b615 + 98*b482*b616
      + 63*b482*b617 + 17*b483*b511 + 7*b483*b512 + 54*b483*b513 + 11*b483*b514
      + 38*b483*b515 + 32*b483*b516 + 6*b483*b518 + 4*b483*b519 + 66*b483*b520
      + 52*b483*b521 + 17*b483*b527 + 50*b483*b529 + 33*b483*b530 + 64*b483*
     b531 + 46*b483*b532 + 22*b483*b533 + 22*b483*b534 + 23*b483*b535 + 45*b483
     *b538 + 6*b483*b539 + 12*b483*b541 + 17*b483*b543 + 27*b483*b546 + 27*b483
     *b547 + 89*b483*b548 + 22*b483*b549 + 3*b483*b550 + 20*b483*b552 + b483*
     b554 + 13*b483*b555 + 21*b483*b562 + 10*b483*b563 + 37*b483*b564 + 219*
     b483*b567 + 230*b483*b570 + 40*b483*b572 + 28*b483*b573 + 42*b483*b574 + 
     27*b483*b575 + 5*b483*b576 + 14*b483*b579 + 66*b483*b581 + 33*b483*b582 + 
     45*b483*b585 + 15*b483*b586 + 32*b483*b591 + 24*b483*b593 + 19*b483*b596
      + 32*b483*b600 + 46*b483*b603 + 40*b483*b605 + 52*b483*b608 + 120*b483*
     b611 + 20*b483*b613 + 42*b483*b615 + 143*b483*b616 + 5*b483*b617 + 6*b484*
     b511 + 2*b484*b519 + 29*b484*b520 + 26*b484*b526 + 5*b484*b527 + 17*b484*
     b528 + 19*b484*b529 + 53*b484*b532 + 6*b484*b533 + b484*b535 + 50*b484*
     b540 + 21*b484*b541 + 9*b484*b544 + 106*b484*b546 + 34*b484*b547 + 101*
     b484*b548 + 107*b484*b550 + 21*b484*b551 + 36*b484*b552 + 131*b484*b554 + 
     33*b484*b556 + 2*b484*b557 + 101*b484*b558 + 100*b484*b559 + 2*b484*b562
      + 52*b484*b565 + 122*b484*b566 + 316*b484*b567 + 45*b484*b572 + 24*b484*
     b573 + 35*b484*b577 + 6*b484*b578 + 4*b484*b580 + 10*b484*b582 + 9*b484*
     b583 + b484*b587 + 10*b484*b588 + 18*b484*b589 + 90*b484*b590 + 47*b484*
     b592 + 86*b484*b595 + 44*b484*b599 + 38*b484*b600 + 22*b484*b601 + 13*b484
     *b602 + 7*b484*b607 + 31*b484*b608 + 60*b484*b610 + 33*b484*b613 + 24*b484
     *b614 + 13*b484*b618 + 20*b485*b511 + 33*b485*b515 + 107*b485*b517 + b485*
     b518 + 17*b485*b521 + 15*b485*b523 + 41*b485*b525 + 22*b485*b528 + 33*b485
     *b529 + 55*b485*b531 + 4*b485*b532 + 8*b485*b533 + 42*b485*b535 + 38*b485*
     b537 + 8*b485*b541 + 17*b485*b544 + 4*b485*b547 + 34*b485*b550 + 17*b485*
     b557 + 60*b485*b558 + 22*b485*b562 + b485*b563 + 29*b485*b568 + 257*b485*
     b569 + 12*b485*b572 + 5*b485*b576 + 16*b485*b578 + 40*b485*b580 + 15*b485*
     b582 + 32*b485*b583 + 96*b485*b584 + 10*b485*b587 + 2*b485*b593 + 25*b485*
     b595 + 13*b485*b596 + 20*b485*b597 + 42*b485*b598 + 68*b485*b602 + 54*b485
     *b604 + 9*b485*b605 + 31*b485*b607 + 30*b485*b609 + 27*b485*b613 + 84*b485
     *b614 + 12*b485*b615 + 132*b485*b618 + 20*b486*b512 + 38*b486*b513 + 4*
     b486*b515 + 39*b486*b516 + 31*b486*b518 + 36*b486*b519 + 4*b486*b523 + 16*
     b486*b527 + 9*b486*b528 + 45*b486*b530 + 11*b486*b531 + b486*b532 + 9*b486
     *b534 + 19*b486*b535 + 18*b486*b537 + 24*b486*b540 + 25*b486*b544 + 19*
     b486*b545 + 8*b486*b546 + 62*b486*b547 + 50*b486*b557 + 8*b486*b559 + 5*
     b486*b561 + 6*b486*b564 + 79*b486*b567 + 170*b486*b568 + 207*b486*b569 + 
     14*b486*b572 + 7*b486*b574 + 22*b486*b575 + 78*b486*b578 + 5*b486*b580 + 
     37*b486*b581 + 93*b486*b584 + 28*b486*b585 + 54*b486*b587 + 27*b486*b588
      + b486*b591 + 22*b486*b592 + 35*b486*b593 + 52*b486*b594 + 20*b486*b597
      + 121*b486*b598 + 3*b486*b601 + 22*b486*b602 + 2*b486*b604 + 87*b486*b605
      + 49*b486*b607 + 136*b486*b610 + 144*b486*b611 + 23*b486*b612 + 9*b486*
     b614 + 13*b486*b615 + 154*b486*b616 + 6*b487*b512 + 12*b487*b515 + 25*b487
     *b517 + b487*b518 + 27*b487*b519 + 30*b487*b520 + 21*b487*b521 + 17*b487*
     b522 + 35*b487*b523 + 88*b487*b524 + 24*b487*b526 + 20*b487*b529 + 19*b487
     *b531 + 3*b487*b534 + 12*b487*b541 + 46*b487*b543 + 35*b487*b544 + 5*b487*
     b545 + 10*b487*b548 + 4*b487*b551 + 79*b487*b553 + 5*b487*b554 + 64*b487*
     b555 + b487*b558 + 8*b487*b559 + 14*b487*b564 + 14*b487*b566 + 7*b487*b570
      + 2*b487*b572 + 34*b487*b573 + 153*b487*b578 + 23*b487*b580 + 19*b487*
     b582 + 60*b487*b587 + 10*b487*b590 + 4*b487*b591 + 14*b487*b593 + 32*b487*
     b598 + 5*b487*b599 + b487*b604 + 9*b487*b607 + 116*b487*b609 + 223*b487*
     b610 + 10*b487*b612 + 25*b487*b614 + 11*b488*b512 + 55*b488*b513 + 8*b488*
     b516 + 9*b488*b522 + 41*b488*b525 + 97*b488*b526 + 8*b488*b528 + 39*b488*
     b529 + 41*b488*b530 + 10*b488*b531 + 78*b488*b533 + 72*b488*b536 + 11*b488
     *b540 + 24*b488*b544 + 4*b488*b545 + 5*b488*b546 + b488*b547 + 24*b488*
     b548 + 47*b488*b549 + 2*b488*b552 + 33*b488*b554 + 24*b488*b556 + 24*b488*
     b558 + 36*b488*b563 + 5*b488*b564 + 73*b488*b565 + 498*b488*b566 + 126*
     b488*b572 + 16*b488*b576 + 36*b488*b577 + 17*b488*b579 + 223*b488*b587 + 
     26*b488*b588 + 64*b488*b589 + 4*b488*b590 + 149*b488*b592 + 12*b488*b594
      + 5*b488*b595 + 24*b488*b597 + 16*b488*b599 + b488*b600 + 47*b488*b601 + 
     15*b488*b602 + 87*b488*b606 + 137*b488*b607 + 66*b488*b609 + 10*b488*b611
      + 3*b488*b612 + 3*b488*b613 + 8*b488*b618 + 23*b489*b514 + b489*b518 + 18
     *b489*b519 + 17*b489*b527 + 19*b489*b528 + 38*b489*b529 + 65*b489*b530 + 
     10*b489*b535 + 31*b489*b536 + 45*b489*b537 + 2*b489*b540 + 14*b489*b541 + 
     8*b489*b543 + 17*b489*b544 + 34*b489*b546 + 16*b489*b547 + 21*b489*b550 + 
     42*b489*b551 + 14*b489*b555 + 3*b489*b558 + b489*b567 + 3*b489*b568 + 18*
     b489*b569 + 3*b489*b570 + 18*b489*b573 + 60*b489*b575 + 70*b489*b576 + 35*
     b489*b577 + 11*b489*b582 + 15*b489*b583 + 3*b489*b587 + 7*b489*b589 + 61*
     b489*b593 + 32*b489*b600 + 5*b489*b605 + 6*b489*b609 + 84*b490*b514 + 2*
     b490*b527 + 98*b490*b529 + 18*b490*b534 + 4*b490*b535 + 8*b490*b536 + 87*
     b490*b540 + 9*b490*b541 + 3*b490*b545 + 79*b490*b546 + 8*b490*b553 + 40*
     b490*b554 + 38*b490*b558 + 21*b490*b559 + 7*b490*b561 + 4*b490*b565 + 2*
     b490*b566 + 2*b490*b568 + 9*b490*b576 + 14*b490*b578 + 3*b490*b581 + 6*
     b490*b584 + 5*b490*b585 + 12*b490*b587 + b490*b591 + 13*b490*b593 + 37*
     b490*b595 + 4*b490*b596 + 4*b490*b597 + 154*b490*b600 + 8*b490*b601 + 8*
     b490*b607 + 2*b490*b608 + 13*b490*b609 + 8*b490*b613 + 2*b490*b616 + 15*
     b490*b618 + 14*b491*b512 + 114*b491*b513 + 21*b491*b515 + 104*b491*b526 + 
     66*b491*b527 + 18*b491*b529 + 66*b491*b530 + 27*b491*b531 + 50*b491*b532
      + 16*b491*b545 + 14*b491*b549 + 2*b491*b550 + 13*b491*b551 + 24*b491*b553
      + 22*b491*b555 + 11*b491*b557 + 10*b491*b558 + 11*b491*b559 + 12*b491*
     b560 + 17*b491*b562 + 246*b491*b566 + 20*b491*b567 + 4*b491*b574 + 6*b491*
     b576 + 11*b491*b577 + 88*b491*b584 + 61*b491*b585 + 58*b491*b587 + 23*b491
     *b588 + 27*b491*b589 + 57*b491*b591 + 36*b491*b592 + 2*b491*b594 + 14*b491
     *b595 + 6*b491*b596 + 44*b491*b597 + 11*b491*b599 + 37*b491*b601 + 4*b491*
     b602 + 11*b491*b607 + 16*b491*b611 + 18*b491*b612 + 36*b491*b614 + 22*b491
     *b618 + 16*b492*b513 + 51*b492*b514 + 24*b492*b516 + 49*b492*b517 + 2*b492
     *b519 + 24*b492*b520 + 24*b492*b526 + 17*b492*b531 + 10*b492*b532 + 13*
     b492*b533 + b492*b534 + 29*b492*b536 + 7*b492*b539 + 49*b492*b540 + b492*
     b543 + 3*b492*b544 + 50*b492*b545 + 12*b492*b549 + 12*b492*b554 + 23*b492*
     b555 + 23*b492*b556 + 11*b492*b567 + 36*b492*b574 + 12*b492*b575 + 26*b492
     *b579 + 8*b492*b582 + 5*b492*b583 + 77*b492*b584 + 171*b492*b585 + 11*b492
     *b587 + 6*b492*b592 + 7*b492*b594 + 13*b492*b597 + 13*b492*b598 + 27*b492*
     b601 + 15*b492*b606 + 59*b492*b614 + 21*b492*b617 + 14*b493*b512 + 3*b493*
     b516 + 49*b493*b517 + 13*b493*b519 + 24*b493*b521 + 3*b493*b523 + 4*b493*
     b525 + 4*b493*b526 + 82*b493*b527 + 34*b493*b531 + 3*b493*b533 + 37*b493*
     b536 + 18*b493*b539 + 12*b493*b540 + 32*b493*b546 + 5*b493*b548 + 48*b493*
     b549 + 37*b493*b552 + 12*b493*b554 + 30*b493*b557 + 25*b493*b560 + 51*b493
     *b561 + 28*b493*b564 + 37*b493*b565 + 27*b493*b566 + 149*b493*b567 + 291*
     b493*b569 + b493*b571 + 21*b493*b573 + 13*b493*b577 + 37*b493*b582 + 27*
     b493*b583 + 30*b493*b588 + 18*b493*b590 + 31*b493*b591 + 66*b493*b593 + 21
     *b493*b594 + 68*b493*b595 + 15*b493*b598 + 20*b493*b601 + 6*b493*b611 + 
     152*b493*b612 + 120*b493*b614 + 8*b493*b616 + 78*b493*b618 + 10*b494*b511
      + 11*b494*b512 + 46*b494*b513 + 9*b494*b516 + 39*b494*b523 + 58*b494*b524
      + 131*b494*b526 + 5*b494*b528 + 2*b494*b529 + 28*b494*b530 + 12*b494*b532
      + 35*b494*b534 + 22*b494*b539 + 5*b494*b541 + 56*b494*b544 + 49*b494*b547
      + 73*b494*b548 + 32*b494*b551 + 12*b494*b553 + 5*b494*b554 + 19*b494*b557
      + 26*b494*b558 + 30*b494*b559 + 12*b494*b563 + 9*b494*b564 + 23*b494*b565
      + 327*b494*b566 + 24*b494*b571 + 56*b494*b572 + 92*b494*b573 + 40*b494*
     b577 + 92*b494*b578 + 14*b494*b581 + 71*b494*b588 + 7*b494*b590 + 21*b494*
     b592 + 17*b494*b594 + 17*b494*b596 + 57*b494*b599 + 17*b494*b602 + 33*b494
     *b604 + 49*b494*b606 + 216*b494*b609 + 7*b494*b611 + 6*b494*b613 + 24*b494
     *b618 + 2*b495*b511 + 19*b495*b521 + 21*b495*b527 + 77*b495*b530 + 13*b495
     *b531 + 22*b495*b535 + 5*b495*b539 + 60*b495*b542 + 34*b495*b544 + 12*b495
     *b547 + 109*b495*b555 + 16*b495*b557 + 3*b495*b558 + 7*b495*b560 + 15*b495
     *b563 + 27*b495*b564 + 9*b495*b567 + 6*b495*b570 + b495*b572 + 3*b495*b574
      + 31*b495*b577 + 48*b495*b578 + 10*b495*b580 + 3*b495*b583 + 18*b495*b584
      + b495*b585 + 7*b495*b588 + 6*b495*b591 + 7*b495*b592 + 10*b495*b615 + 33
     *b496*b512 + 35*b496*b513 + 8*b496*b514 + 16*b496*b516 + 32*b496*b518 + 11
     *b496*b524 + 17*b496*b528 + 29*b496*b529 + 194*b496*b531 + 16*b496*b532 + 
     10*b496*b533 + 14*b496*b536 + 58*b496*b537 + 42*b496*b539 + 23*b496*b540
      + 13*b496*b542 + 24*b496*b543 + 34*b496*b546 + 11*b496*b549 + 21*b496*
     b551 + 35*b496*b552 + 3*b496*b553 + 9*b496*b554 + 2*b496*b556 + 8*b496*
     b560 + 133*b496*b568 + 108*b496*b569 + 23*b496*b572 + 23*b496*b575 + 45*
     b496*b576 + 35*b496*b578 + 50*b496*b581 + 34*b496*b582 + 219*b496*b585 + 
     40*b496*b589 + 23*b496*b590 + 48*b496*b593 + 71*b496*b594 + 24*b496*b595
      + 2*b496*b598 + 13*b496*b600 + 41*b496*b602 + 129*b496*b604 + 18*b496*
     b607 + 116*b496*b609 + 12*b496*b611 + 29*b496*b616 + 44*b496*b617 + 46*
     b496*b618 + 12*b497*b513 + 8*b497*b514 + 2*b497*b517 + 25*b497*b521 + 4*
     b497*b525 + 101*b497*b526 + 34*b497*b527 + 15*b497*b529 + 157*b497*b530 + 
     58*b497*b532 + 7*b497*b534 + 24*b497*b539 + 125*b497*b542 + 5*b497*b549 + 
     21*b497*b551 + 5*b497*b554 + 17*b497*b557 + 22*b497*b558 + 30*b497*b560 + 
     22*b497*b561 + 50*b497*b563 + 33*b497*b564 + 134*b497*b565 + 92*b497*b566
      + 40*b497*b572 + 10*b497*b574 + 13*b497*b577 + 35*b497*b578 + 18*b497*
     b581 + 19*b497*b584 + 23*b497*b585 + 20*b497*b588 + 8*b497*b589 + 42*b497*
     b591 + 23*b497*b592 + 12*b497*b600 + 19*b497*b601 + 15*b497*b602 + 25*b497
     *b611 + 8*b497*b612 + 11*b497*b613 + 5*b497*b614 + 29*b497*b615 + 3*b497*
     b618 + 31*b498*b514 + b498*b515 + 3*b498*b518 + 15*b498*b519 + 18*b498*
     b525 + 30*b498*b527 + 2*b498*b528 + 22*b498*b533 + 28*b498*b534 + 27*b498*
     b535 + 97*b498*b537 + 14*b498*b539 + 7*b498*b540 + 3*b498*b542 + 15*b498*
     b545 + 7*b498*b550 + 13*b498*b554 + 58*b498*b555 + 17*b498*b556 + 14*b498*
     b558 + 19*b498*b560 + 18*b498*b564 + 169*b498*b565 + b498*b568 + 61*b498*
     b570 + 122*b498*b572 + 58*b498*b573 + 4*b498*b574 + b498*b577 + 4*b498*
     b581 + 4*b498*b585 + 2*b498*b588 + 2*b498*b589 + 31*b498*b591 + 130*b498*
     b592 + 10*b498*b593 + 21*b498*b598 + 6*b498*b602 + 4*b498*b608 + 52*b498*
     b609 + 195*b498*b610 + 11*b498*b611 + 8*b498*b614 + 91*b498*b615 + 15*b499
     *b514 + 13*b499*b518 + 10*b499*b521 + 18*b499*b524 + 14*b499*b528 + 11*
     b499*b530 + 17*b499*b531 + 27*b499*b536 + 14*b499*b537 + 30*b499*b539 + 9*
     b499*b540 + 8*b499*b541 + 36*b499*b542 + 18*b499*b544 + 6*b499*b547 + 12*
     b499*b551 + 7*b499*b552 + 14*b499*b554 + 13*b499*b562 + b499*b564 + 18*
     b499*b568 + 71*b499*b570 + 49*b499*b573 + 19*b499*b574 + 25*b499*b575 + 11
     *b499*b576 + 64*b499*b577 + 7*b499*b578 + 32*b499*b579 + 37*b499*b582 + 13
     *b499*b583 + 8*b499*b585 + b499*b589 + 46*b499*b593 + 13*b499*b596 + 26*
     b499*b597 + 23*b499*b604 + 17*b499*b606 + 22*b499*b607 + 22*b500*b513 + 38
     *b500*b515 + 26*b500*b516 + 10*b500*b517 + 21*b500*b520 + 13*b500*b522 + 
     99*b500*b524 + 239*b500*b526 + 13*b500*b527 + 76*b500*b533 + 7*b500*b534
      + 7*b500*b536 + 43*b500*b539 + b500*b541 + 30*b500*b543 + 2*b500*b547 + 
     35*b500*b548 + 14*b500*b551 + 15*b500*b553 + 64*b500*b555 + 32*b500*b559
      + 30*b500*b560 + 32*b500*b562 + 116*b500*b567 + 26*b500*b568 + 56*b500*
     b569 + 102*b500*b570 + 150*b500*b573 + 5*b500*b574 + 11*b500*b575 + 4*b500
     *b577 + 23*b500*b581 + 5*b500*b582 + 18*b500*b584 + 9*b500*b589 + 8*b500*
     b593 + 14*b500*b595 + 25*b500*b598 + 9*b500*b599 + 39*b500*b601 + 49*b500*
     b605 + 241*b500*b610 + 65*b500*b611 + 22*b500*b612 + 3*b500*b614 + 150*
     b500*b617 + 15*b500*b618 + 24*b501*b515 + 85*b501*b516 + 16*b501*b517 + 58
     *b501*b518 + 4*b501*b519 + 27*b501*b520 + 15*b501*b521 + 4*b501*b523 + 19*
     b501*b524 + 27*b501*b528 + 22*b501*b529 + 44*b501*b530 + 112*b501*b532 + 
     56*b501*b535 + 8*b501*b537 + 20*b501*b539 + 17*b501*b540 + 90*b501*b541 + 
     23*b501*b542 + 12*b501*b544 + 83*b501*b547 + 52*b501*b548 + 6*b501*b551 + 
     68*b501*b552 + 35*b501*b553 + 10*b501*b554 + 20*b501*b557 + 32*b501*b558
      + 62*b501*b559 + 8*b501*b563 + 9*b501*b565 + 144*b501*b566 + 108*b501*
     b567 + 204*b501*b568 + 29*b501*b569 + 19*b501*b573 + 2*b501*b574 + 6*b501*
     b577 + 12*b501*b579 + 14*b501*b580 + 16*b501*b581 + 21*b501*b582 + 12*b501
     *b588 + 44*b501*b589 + 25*b501*b590 + 16*b501*b592 + 62*b501*b593 + 9*b501
     *b594 + 30*b501*b595 + 12*b501*b596 + 16*b501*b597 + 19*b501*b598 + 23*
     b501*b599 + 2*b501*b600 + 17*b501*b602 + 108*b501*b610 + 105*b501*b611 + 
     140*b501*b613 + 56*b501*b616 + 5*b501*b618 + 100*b502*b518 + 3*b502*b519
      + 23*b502*b521 + 2*b502*b522 + 10*b502*b525 + 10*b502*b530 + 8*b502*b531
      + 5*b502*b533 + 65*b502*b534 + 34*b502*b535 + 9*b502*b536 + 38*b502*b537
      + 11*b502*b539 + 33*b502*b540 + 46*b502*b542 + 110*b502*b545 + 8*b502*
     b546 + 9*b502*b549 + 13*b502*b550 + 15*b502*b551 + 4*b502*b554 + 16*b502*
     b555 + 31*b502*b557 + 44*b502*b558 + 30*b502*b561 + 38*b502*b562 + 67*b502
     *b563 + 72*b502*b568 + 40*b502*b569 + 137*b502*b570 + 25*b502*b574 + 35*
     b502*b575 + 18*b502*b578 + 29*b502*b584 + 191*b502*b585 + b502*b588 + 35*
     b502*b590 + 12*b502*b592 + 51*b502*b593 + 44*b502*b594 + 78*b502*b595 + 14
     *b502*b596 + 6*b502*b597 + 13*b502*b598 + 6*b502*b601 + b502*b604 + 9*b502
     *b605 + 11*b502*b606 + 19*b502*b611 + 64*b502*b613 + 67*b502*b614 + 2*b502
     *b616 + 17*b502*b617 + 20*b502*b618 + 4*b503*b512 + 26*b503*b513 + 20*b503
     *b516 + 109*b503*b519 + 38*b503*b521 + 49*b503*b522 + 119*b503*b523 + 33*
     b503*b524 + 67*b503*b525 + 35*b503*b530 + 33*b503*b531 + b503*b532 + 14*
     b503*b534 + 44*b503*b540 + 27*b503*b542 + 13*b503*b545 + 18*b503*b546 + 2*
     b503*b548 + 12*b503*b551 + 191*b503*b553 + 70*b503*b557 + 12*b503*b558 + 
     10*b503*b559 + 32*b503*b561 + 60*b503*b566 + 188*b503*b570 + 22*b503*b571
      + 19*b503*b576 + b503*b577 + 14*b503*b579 + 379*b503*b585 + 35*b503*b590
      + 43*b503*b594 + 18*b503*b595 + 7*b503*b597 + 18*b503*b599 + 73*b503*b602
      + 10*b503*b606 + 6*b503*b608 + 69*b503*b610 + 37*b503*b611 + 23*b503*b613
      + 59*b503*b616 + 12*b503*b617 + 24*b503*b618 + 96*b504*b514 + 10*b504*
     b520 + 16*b504*b525 + b504*b528 + 21*b504*b534 + 8*b504*b537 + 71*b504*
     b540 + 16*b504*b541 + 2*b504*b542 + 10*b504*b545 + 72*b504*b546 + 3*b504*
     b547 + 32*b504*b548 + 39*b504*b554 + 11*b504*b561 + 2*b504*b564 + 6*b504*
     b565 + 4*b504*b566 + 2*b504*b567 + 4*b504*b569 + 8*b504*b570 + 2*b504*b572
      + 8*b504*b584 + 94*b504*b590 + 10*b504*b595 + 25*b504*b600 + 3*b504*b601
      + 15*b504*b607 + 8*b504*b608 + 32*b505*b512 + 3*b505*b513 + 51*b505*b514
      + 2*b505*b516 + 11*b505*b523 + 11*b505*b524 + 7*b505*b526 + 22*b505*b527
      + 5*b505*b529 + 63*b505*b532 + 17*b505*b533 + 7*b505*b535 + 21*b505*b537
      + 114*b505*b540 + b505*b543 + b505*b544 + 40*b505*b546 + 51*b505*b548 + 
     44*b505*b549 + 30*b505*b550 + 3*b505*b551 + 5*b505*b552 + 4*b505*b554 + 
     b505*b555 + 99*b505*b556 + 31*b505*b559 + 15*b505*b560 + 66*b505*b567 + 23
     *b505*b568 + 13*b505*b573 + 70*b505*b576 + 22*b505*b577 + 8*b505*b579 + 4*
     b505*b582 + 143*b505*b584 + 158*b505*b585 + 40*b505*b590 + 28*b505*b591 + 
     11*b505*b593 + 12*b505*b594 + 22*b505*b597 + 11*b505*b598 + 21*b505*b599
      + 22*b505*b600 + 7*b505*b605 + 19*b505*b610 + 13*b505*b611 + 39*b505*b613
      + 4*b505*b616 + 17*b505*b617 + 16*b506*b512 + 21*b506*b513 + 64*b506*b514
      + 15*b506*b516 + 155*b506*b522 + 73*b506*b525 + 14*b506*b527 + 78*b506*
     b528 + 122*b506*b529 + 21*b506*b530 + 69*b506*b531 + 43*b506*b533 + 19*
     b506*b534 + 22*b506*b535 + b506*b537 + 30*b506*b540 + 18*b506*b542 + 46*
     b506*b543 + 11*b506*b546 + 10*b506*b547 + 60*b506*b549 + 2*b506*b551 + 15*
     b506*b552 + 54*b506*b555 + 36*b506*b558 + 24*b506*b563 + 114*b506*b565 + 
     40*b506*b568 + 20*b506*b573 + 17*b506*b575 + 13*b506*b576 + 20*b506*b577
      + 25*b506*b578 + 15*b506*b579 + 4*b506*b581 + 5*b506*b582 + 63*b506*b583
      + 379*b506*b585 + 2*b506*b588 + 36*b506*b589 + b506*b590 + 22*b506*b593
      + 143*b506*b594 + 82*b506*b595 + 43*b506*b602 + 10*b506*b607 + 97*b506*
     b609 + 11*b506*b611 + 16*b506*b612 + 9*b506*b613 + 8*b506*b614 + 23*b506*
     b615 + 45*b506*b617 + 48*b507*b513 + 55*b507*b514 + 95*b507*b518 + 28*b507
     *b521 + 31*b507*b522 + 4*b507*b523 + 67*b507*b527 + 29*b507*b530 + 10*b507
     *b532 + 109*b507*b534 + 164*b507*b535 + 19*b507*b536 + 15*b507*b537 + 7*
     b507*b542 + 9*b507*b543 + 69*b507*b545 + 93*b507*b549 + 12*b507*b550 + 58*
     b507*b552 + 105*b507*b556 + b507*b557 + 144*b507*b561 + 30*b507*b563 + 317
     *b507*b569 + 73*b507*b570 + 114*b507*b571 + 36*b507*b573 + 5*b507*b574 + 9
     *b507*b575 + 9*b507*b576 + 18*b507*b578 + 37*b507*b580 + 45*b507*b583 + 
     152*b507*b584 + 102*b507*b585 + 35*b507*b588 + 56*b507*b591 + 35*b507*b595
      + 41*b507*b596 + 46*b507*b597 + 16*b507*b601 + 22*b507*b602 + 27*b507*
     b606 + 51*b507*b609 + 34*b507*b611 + 64*b507*b613 + 25*b507*b615 + 6*b507*
     b617 + 121*b507*b618 + 9*b508*b512 + 24*b508*b513 + 21*b508*b514 + 210*
     b508*b515 + 37*b508*b517 + 32*b508*b519 + 4*b508*b521 + 108*b508*b522 + 6*
     b508*b530 + 8*b508*b533 + 3*b508*b537 + 50*b508*b541 + 238*b508*b543 + 14*
     b508*b547 + 2*b508*b553 + 8*b508*b554 + 66*b508*b557 + 32*b508*b558 + 11*
     b508*b559 + 6*b508*b560 + 3*b508*b564 + 123*b508*b566 + 194*b508*b570 + 38
     *b508*b572 + 56*b508*b573 + 2*b508*b575 + 6*b508*b577 + 29*b508*b578 + 97*
     b508*b580 + 18*b508*b581 + 56*b508*b582 + 331*b508*b584 + 101*b508*b588 + 
     13*b508*b590 + 52*b508*b591 + 5*b508*b592 + 29*b508*b593 + 6*b508*b596 + 
     17*b508*b597 + 14*b508*b598 + 46*b508*b600 + 9*b508*b601 + 32*b508*b604 + 
     15*b508*b607 + 20*b508*b608 + 190*b508*b610 + 12*b508*b611 + 14*b508*b612
      + 14*b508*b614 + 20*b508*b616 + 3*b509*b519 + 12*b509*b521 + 28*b509*b522
      + 40*b509*b523 + 17*b509*b525 + 109*b509*b553 + 26*b509*b557 + 8*b509*
     b559 + 7*b509*b565 + 5*b509*b569 + 7*b509*b570 + 11*b509*b571 + 16*b509*
     b572 + 9*b509*b573 + 3*b509*b584 + 108*b509*b589 + 25*b509*b592 + 28*b509*
     b596 + 21*b509*b602 + b509*b608 + 3*b509*b609 + 9*b509*b610 + 4*b509*b613
      + 75*b510*b513 + 2*b510*b517 + 7*b510*b521 + 10*b510*b526 + 8*b510*b530
      + 9*b510*b545 + 33*b510*b551 + 3*b510*b558 + 2*b510*b562 + 12*b510*b565
      + 8*b510*b566 + 3*b510*b568 + 5*b510*b570 + 27*b510*b573 + 14*b510*b585
      + 26*b510*b591 + 149*b510*b597 + 2*b510*b600 + 2*b510*b602 + 23*b510*b606
      + 61*b510*b608 + 17*b510*b610 + 11*b510*b612 - objvar =E= 0;

e2..    b310 + b619 =E= 1;

e3..    b2 + b538 =E= 1;

e4..    b224 + b571 =E= 1;

e5..    b237 + b511 =E= 1;

e6..    b3 + b586 =E= 1;

e7..    b246 + b572 =E= 1;

e8..    b4 + b603 =E= 1;

e9..    b249 + b573 =E= 1;

e10..    b252 + b616 =E= 1;

e11..    b253 + b512 =E= 1;

e12..    b254 + b513 =E= 1;

e13..    b255 + b617 =E= 1;

e14..    b256 + b514 =E= 1;

e15..    b257 + b574 =E= 1;

e16..    b5 + b587 =E= 1;

e17..    b259 + b575 =E= 1;

e18..    b6 + b539 =E= 1;

e19..    b260 + b611 =E= 1;

e20..    b7 + b540 =E= 1;

e21..    b261 + b515 =E= 1;

e22..    b8 + b588 =E= 1;

e23..    b9 + b589 =E= 1;

e24..    b262 + b612 =E= 1;

e25..    b263 + b516 =E= 1;

e26..    b264 + b517 =E= 1;

e27..    b265 + b599 =E= 1;

e28..    b266 + b576 =E= 1;

e29..    b267 + b613 =E= 1;

e30..    b10 + b541 =E= 1;

e31..    b11 + b590 =E= 1;

e32..    b268 + b600 =E= 1;

e33..    b269 + b577 =E= 1;

e34..    b270 + b518 =E= 1;

e35..    b12 + b542 =E= 1;

e36..    b13 + b543 =E= 1;

e37..    b14 + b591 =E= 1;

e38..    b15 + b544 =E= 1;

e39..    b271 + b618 =E= 1;

e40..    b272 + b519 =E= 1;

e41..    b273 + b520 =E= 1;

e42..    b16 + b604 =E= 1;

e43..    b274 + b521 =E= 1;

e44..    b17 + b545 =E= 1;

e45..    b275 + b578 =E= 1;

e46..    b276 + b522 =E= 1;

e47..    b18 + b546 =E= 1;

e48..    b19 + b592 =E= 1;

e49..    b20 + b547 =E= 1;

e50..    b21 + b548 =E= 1;

e51..    b22 + b549 =E= 1;

e52..    b277 + b523 =E= 1;

e53..    b23 + b550 =E= 1;

e54..    b24 + b551 =E= 1;

e55..    b278 + b524 =E= 1;

e56..    b279 + b579 =E= 1;

e57..    b25 + b605 =E= 1;

e58..    b280 + b601 =E= 1;

e59..    b26 + b552 =E= 1;

e60..    b27 + b553 =E= 1;

e61..    b28 + b593 =E= 1;

e62..    b29 + b554 =E= 1;

e63..    b281 + b525 =E= 1;

e64..    b282 + b526 =E= 1;

e65..    b30 + b555 =E= 1;

e66..    b31 + b594 =E= 1;

e67..    b283 + b527 =E= 1;

e68..    b32 + b595 =E= 1;

e69..    b284 + b528 =E= 1;

e70..    b33 + b596 =E= 1;

e71..    b34 + b615 =E= 1;

e72..    b285 + b529 =E= 1;

e73..    b35 + b606 =E= 1;

e74..    b36 + b597 =E= 1;

e75..    b286 + b530 =E= 1;

e76..    b37 + b556 =E= 1;

e77..    b287 + b531 =E= 1;

e78..    b288 + b532 =E= 1;

e79..    b289 + b614 =E= 1;

e80..    b290 + b602 =E= 1;

e81..    b291 + b580 =E= 1;

e82..    b292 + b581 =E= 1;

e83..    b38 + b607 =E= 1;

e84..    b39 + b598 =E= 1;

e85..    b293 + b533 =E= 1;

e86..    b40 + b557 =E= 1;

e87..    b294 + b582 =E= 1;

e88..    b41 + b558 =E= 1;

e89..    b42 + b559 =E= 1;

e90..    b43 + b560 =E= 1;

e91..    b44 + b561 =E= 1;

e92..    b295 + b534 =E= 1;

e93..    b296 + b535 =E= 1;

e94..    b45 + b562 =E= 1;

e95..    b46 + b563 =E= 1;

e96..    b297 + b536 =E= 1;

e97..    b47 + b564 =E= 1;

e98..    b48 + b608 =E= 1;

e99..    b298 + b583 =E= 1;

e100..    b299 + b537 =E= 1;

e101..    b49 + b311 =E= 1;

e102..    b50 + b433 =E= 1;

e103..    b51 + b453 =E= 1;

e104..    b52 + b312 =E= 1;

e105..    b53 + b313 =E= 1;

e106..    b54 + b314 =E= 1;

e107..    b55 + b472 =E= 1;

e108..    b56 + b401 =E= 1;

e109..    b57 + b315 =E= 1;

e110..    b58 + b493 =E= 1;

e111..    b59 + b316 =E= 1;

e112..    b60 + b470 =E= 1;

e113..    b61 + b402 =E= 1;

e114..    b62 + b317 =E= 1;

e115..    b63 + b318 =E= 1;

e116..    b64 + b319 =E= 1;

e117..    b65 + b454 =E= 1;

e118..    b225 + b320 =E= 1;

e119..    b66 + b509 =E= 1;

e120..    b67 + b321 =E= 1;

e121..    b68 + b403 =E= 1;

e122..    b238 + b322 =E= 1;

e123..    b69 + b434 =E= 1;

e124..    b248 + b323 =E= 1;

e125..    b70 + b324 =E= 1;

e126..    b71 + b432 =E= 1;

e127..    b72 + b499 =E= 1;

e128..    b73 + b388 =E= 1;

e129..    b226 + b500 =E= 1;

e130..    b74 + b389 =E= 1;

e131..    b227 + b404 =E= 1;

e132..    b75 + b325 =E= 1;

e133..    b76 + b405 =E= 1;

e134..    b77 + b435 =E= 1;

e135..    b78 + b406 =E= 1;

e136..    b79 + b478 =E= 1;

e137..    b80 + b496 =E= 1;

e138..    b81 + b326 =E= 1;

e139..    b228 + b327 =E= 1;

e140..    b82 + b423 =E= 1;

e141..    b229 + b455 =E= 1;

e142..    b83 + b424 =E= 1;

e143..    b84 + b328 =E= 1;

e144..    b85 + b503 =E= 1;

e145..    b86 + b456 =E= 1;

e146..    b87 + b497 =E= 1;

e147..    b88 + b436 =E= 1;

e148..    b89 + b329 =E= 1;

e149..    b90 + b330 =E= 1;

e150..    b91 + b331 =E= 1;

e151..    b92 + b407 =E= 1;

e152..    b93 + b508 =E= 1;

e153..    b94 + b332 =E= 1;

e154..    b95 + b408 =E= 1;

e155..    b96 + b390 =E= 1;

e156..    b97 + b333 =E= 1;

e157..    b230 + b425 =E= 1;

e158..    b98 + b334 =E= 1;

e159..    b99 + b335 =E= 1;

e160..    b100 + b477 =E= 1;

e161..    b101 + b490 =E= 1;

e162..    b102 + b437 =E= 1;

e163..    b103 + b336 =E= 1;

e164..    b104 + b337 =E= 1;

e165..    b105 + b484 =E= 1;

e166..    b106 + b338 =E= 1;

e167..    b107 + b438 =E= 1;

e168..    b108 + b439 =E= 1;

e169..    b109 + b391 =E= 1;

e170..    b110 + b392 =E= 1;

e171..    b111 + b409 =E= 1;

e172..    b112 + b339 =E= 1;

e173..    b113 + b426 =E= 1;

e174..    b114 + b410 =E= 1;

e175..    b258 + b340 =E= 1;

e176..    b115 + b411 =E= 1;

e177..    b116 + b440 =E= 1;

e178..    b117 + b341 =E= 1;

e179..    b243 + b342 =E= 1;

e180..    b118 + b507 =E= 1;

e181..    b119 + b343 =E= 1;

e182..    b120 + b485 =E= 1;

e183..    b121 + b344 =E= 1;

e184..    b122 + b345 =E= 1;

e185..    b123 + b412 =E= 1;

e186..    b250 + b346 =E= 1;

e187..    b124 + b510 =E= 1;

e188..    b125 + b347 =E= 1;

e189..    b126 + b441 =E= 1;

e190..    b127 + b442 =E= 1;

e191..    b128 + b482 =E= 1;

e192..    b129 + b413 =E= 1;

e193..    b130 + b393 =E= 1;

e194..    b131 + b443 =E= 1;

e195..    b132 + b348 =E= 1;

e196..    b133 + b505 =E= 1;

e197..    b134 + b349 =E= 1;

e198..    b135 + b457 =E= 1;

e199..    b231 + b350 =E= 1;

e200..    b244 + b351 =E= 1;

e201..    b245 + b352 =E= 1;

e202..    b136 + b427 =E= 1;

e203..    b137 + b353 =E= 1;

e204..    b138 + b354 =E= 1;

e205..    b139 + b428 =E= 1;

e206..    b140 + b462 =E= 1;

e207..    b141 + b486 =E= 1;

e208..    b142 + b355 =E= 1;

e209..    b143 + b394 =E= 1;

e210..    b144 + b444 =E= 1;

e211..    b145 + b356 =E= 1;

e212..    b146 + b357 =E= 1;

e213..    b147 + b395 =E= 1;

e214..    b148 + b460 =E= 1;

e215..    b149 + b463 =E= 1;

e216..    b150 + b414 =E= 1;

e217..    b151 + b487 =E= 1;

e218..    b152 + b473 =E= 1;

e219..    b153 + b464 =E= 1;

e220..    b154 + b445 =E= 1;

e221..    b155 + b479 =E= 1;

e222..    b156 + b494 =E= 1;

e223..    b157 + b396 =E= 1;

e224..    b158 + b465 =E= 1;

e225..    b232 + b495 =E= 1;

e226..    b159 + b415 =E= 1;

e227..    b160 + b358 =E= 1;

e228..    b161 + b471 =E= 1;

e229..    b239 + b359 =E= 1;

e230..    b162 + b360 =E= 1;

e231..    b163 + b446 =E= 1;

e232..    b164 + b466 =E= 1;

e233..    b165 + b416 =E= 1;

e234..    b166 + b361 =E= 1;

e235..    b167 + b447 =E= 1;

e236..    b168 + b362 =E= 1;

e237..    b169 + b467 =E= 1;

e238..    b240 + b458 =E= 1;

e239..    b170 + b363 =E= 1;

e240..    b171 + b364 =E= 1;

e241..    b172 + b448 =E= 1;

e242..    b173 + b474 =E= 1;

e243..    b174 + b429 =E= 1;

e244..    b175 + b491 =E= 1;

e245..    b176 + b365 =E= 1;

e246..    b177 + b397 =E= 1;

e247..    b178 + b498 =E= 1;

e248..    b247 + b366 =E= 1;

e249..    b179 + b367 =E= 1;

e250..    b180 + b430 =E= 1;

e251..    b181 + b422 =E= 1;

e252..    b182 + b459 =E= 1;

e253..    b183 + b489 =E= 1;

e254..    b184 + b483 =E= 1;

e255..    b185 + b501 =E= 1;

e256..    b186 + b368 =E= 1;

e257..    b187 + b492 =E= 1;

e258..    b188 + b475 =E= 1;

e259..    b189 + b369 =E= 1;

e260..    b190 + b449 =E= 1;

e261..    b191 + b370 =E= 1;

e262..    b192 + b371 =E= 1;

e263..    b193 + b461 =E= 1;

e264..    b241 + b372 =E= 1;

e265..    b194 + b417 =E= 1;

e266..    b195 + b398 =E= 1;

e267..    b242 + b373 =E= 1;

e268..    b196 + b450 =E= 1;

e269..    b197 + b399 =E= 1;

e270..    b251 + b374 =E= 1;

e271..    b198 + b468 =E= 1;

e272..    b199 + b375 =E= 1;

e273..    b233 + b418 =E= 1;

e274..    b200 + b480 =E= 1;

e275..    b201 + b469 =E= 1;

e276..    b202 + b451 =E= 1;

e277..    b203 + b419 =E= 1;

e278..    b204 + b504 =E= 1;

e279..    b205 + b376 =E= 1;

e280..    b206 + b452 =E= 1;

e281..    b207 + b377 =E= 1;

e282..    b208 + b378 =E= 1;

e283..    b209 + b379 =E= 1;

e284..    b210 + b420 =E= 1;

e285..    b211 + b380 =E= 1;

e286..    b212 + b400 =E= 1;

e287..    b234 + b381 =E= 1;

e288..    b213 + b506 =E= 1;

e289..    b235 + b481 =E= 1;

e290..    b214 + b476 =E= 1;

e291..    b215 + b502 =E= 1;

e292..    b216 + b382 =E= 1;

e293..    b217 + b421 =E= 1;

e294..    b218 + b383 =E= 1;

e295..    b219 + b431 =E= 1;

e296..    b220 + b384 =E= 1;

e297..    b221 + b385 =E= 1;

e298..    b236 + b386 =E= 1;

e299..    b222 + b488 =E= 1;

e300..    b223 + b387 =E= 1;

e301..    b307 + b568 =E= 1;

e302..    b300 + b565 =E= 1;

e303..    b308 + b569 =E= 1;

e304..    b301 + b584 =E= 1;

e305..    b302 + b566 =E= 1;

e306..    b309 + b570 =E= 1;

e307..    b303 + b609 =E= 1;

e308..    b304 + b567 =E= 1;

e309..    b305 + b585 =E= 1;

e310..    b306 + b610 =E= 1;

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% minimizing objvar;





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