MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: maxcsp-langford-3-11

Binary Max-CSP (find a complete instantiation of variables which maximizes the number of satisfied constraints) instance with table constraint from CSP 2008 Competition.
Formats ams gms lp mod osil pip
Primal Bounds (infeas ≤ 1e-08)
2.00000000 p1 ( gdx sol )
(infeas: 0)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (LINDO)
0.00000000 (SCIP)
References Hurley, Barry, O'Sullivan, Barry, Allouche, David, Katsirelos, George, Schiex, Thomas, Zytnicki, Matthias, and de Givry, Simon, Multi-language evaluation of exact solvers in graphical model discrete optimization, Constraints, 21:3, 2016, 413-434.
Source QPLIB instance 6647, contributed by Thomas Schiex, https://www.cril.univ-artois.fr/CPAI08/
Application Constraint Satisfaction
Added to library 18 Aug 2018
Problem type BQP
#Variables 627
#Binary Variables 627
#Integer Variables 0
#Nonlinear Variables 627
#Nonlinear Binary Variables 627
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature indefinite
#Nonzeros in Objective 627
#Nonlinear Nonzeros in Objective 627
#Constraints 33
#Linear Constraints 33
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 627
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 28392
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 627
Maximal blocksize in Hessian of Lagrangian 627
Average blocksize in Hessian of Lagrangian 627.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         34       34        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        628        1      627        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1255      628      627        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,b620,b621,b622
          ,b623,b624,b625,b626,b627,b628;

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,b620,b621,b622
          ,b623,b624,b625,b626,b627,b628;

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;


e1.. b2*b3 + b2*b4 + b2*b5 + b2*b6 + b2*b7 + b2*b8 + b2*b9 + b2*b10 + b2*b11 + 
     b2*b12 + b2*b13 + b2*b14 + b2*b15 + b2*b16 + b2*b17 + b2*b18 + b2*b19 + b2
     *b20 + b2*b21 + b2*b22 + b2*b23 + b2*b24 + b2*b25 + b2*b26 + b2*b27 + b2*
     b28 + b2*b29 + b2*b30 + b2*b31 + b2*b32 + b2*b33 + b2*b34 + b2*b35 + b2*
     b36 + b2*b37 + b2*b38 + b3*b39 + b3*b40 + b3*b41 + b3*b42 + b3*b43 + b3*
     b44 + b3*b45 + b3*b46 + b3*b47 + b3*b48 + b3*b49 + b3*b50 + b3*b51 + b3*
     b52 + b3*b53 + b3*b54 + b3*b55 + b3*b56 + b3*b57 + b3*b58 + b3*b59 + b3*
     b60 + b3*b61 + b3*b62 + b3*b63 + b3*b64 + b3*b65 + b3*b66 + b3*b67 + b3*
     b68 + b3*b69 + b3*b70 + b3*b71 + b3*b72 + b3*b73 + b3*b74 + b3*b75 + b3*
     b76 + b3*b77 + b3*b78 + b3*b79 + b3*b80 + b3*b81 + b3*b82 + b3*b83 + b3*
     b84 + b3*b85 + b3*b86 + b3*b87 + b3*b88 + b3*b89 + b3*b90 + b3*b91 + b3*
     b92 + b3*b93 + b3*b94 + b3*b95 + b3*b96 + b3*b97 + b3*b98 + b3*b99 + b3*
     b100 + b3*b101 + b3*b102 + b4*b40 + b4*b41 + b4*b42 + b4*b43 + b4*b44 + b4
     *b45 + b4*b46 + b4*b47 + b4*b48 + b4*b49 + b4*b50 + b4*b51 + b4*b52 + b4*
     b53 + b4*b54 + b4*b55 + b4*b56 + b4*b57 + b4*b58 + b4*b59 + b4*b60 + b4*
     b61 + b4*b62 + b4*b63 + b4*b65 + b4*b66 + b4*b67 + b4*b68 + b4*b69 + b4*
     b70 + b4*b71 + b4*b72 + b4*b73 + b4*b74 + b4*b75 + b4*b76 + b4*b77 + b4*
     b78 + b4*b79 + b4*b80 + b4*b81 + b4*b82 + b4*b83 + b4*b84 + b4*b85 + b4*
     b86 + b4*b87 + b4*b88 + b4*b89 + b4*b103 + b4*b104 + b4*b105 + b4*b106 + 
     b4*b107 + b4*b108 + b4*b109 + b4*b110 + b4*b111 + b4*b112 + b4*b113 + b4*
     b114 + b4*b115 + b4*b116 + b4*b117 + b4*b118 + b5*b39 + b5*b41 + b5*b42 + 
     b5*b43 + b5*b44 + b5*b45 + b5*b46 + b5*b47 + b5*b48 + b5*b49 + b5*b50 + b5
     *b51 + b5*b52 + b5*b53 + b5*b54 + b5*b55 + b5*b56 + b5*b57 + b5*b58 + b5*
     b59 + b5*b60 + b5*b61 + b5*b62 + b5*b63 + b5*b64 + b5*b66 + b5*b67 + b5*
     b68 + b5*b69 + b5*b70 + b5*b71 + b5*b72 + b5*b73 + b5*b74 + b5*b75 + b5*
     b76 + b5*b77 + b5*b78 + b5*b79 + b5*b80 + b5*b81 + b5*b82 + b5*b83 + b5*
     b84 + b5*b85 + b5*b86 + b5*b87 + b5*b88 + b5*b89 + b5*b103 + b5*b104 + b5*
     b119 + b5*b120 + b5*b121 + b5*b122 + b5*b123 + b5*b124 + b5*b125 + b5*b126
      + b5*b127 + b5*b128 + b5*b129 + b5*b130 + b5*b131 + b5*b132 + b5*b133 + 
     b6*b39 + b6*b40 + b6*b42 + b6*b43 + b6*b44 + b6*b45 + b6*b46 + b6*b47 + b6
     *b48 + b6*b49 + b6*b50 + b6*b51 + b6*b52 + b6*b53 + b6*b54 + b6*b55 + b6*
     b56 + b6*b57 + b6*b58 + b6*b59 + b6*b60 + b6*b61 + b6*b62 + b6*b63 + b6*
     b64 + b6*b65 + b6*b67 + b6*b68 + b6*b69 + b6*b70 + b6*b71 + b6*b72 + b6*
     b73 + b6*b74 + b6*b75 + b6*b76 + b6*b77 + b6*b78 + b6*b79 + b6*b80 + b6*
     b81 + b6*b82 + b6*b83 + b6*b84 + b6*b85 + b6*b86 + b6*b87 + b6*b88 + b6*
     b89 + b6*b103 + b6*b104 + b6*b134 + b6*b135 + b6*b136 + b6*b137 + b6*b138
      + b6*b139 + b6*b140 + b6*b141 + b6*b142 + b6*b143 + b6*b144 + b6*b145 + 
     b6*b146 + b6*b147 + b6*b148 + b6*b149 + b7*b39 + b7*b40 + b7*b41 + b7*b43
      + b7*b44 + b7*b45 + b7*b46 + b7*b47 + b7*b48 + b7*b49 + b7*b50 + b7*b51
      + b7*b52 + b7*b53 + b7*b54 + b7*b55 + b7*b56 + b7*b57 + b7*b58 + b7*b59
      + b7*b60 + b7*b61 + b7*b62 + b7*b63 + b7*b64 + b7*b65 + b7*b66 + b7*b68
      + b7*b69 + b7*b70 + b7*b71 + b7*b72 + b7*b73 + b7*b74 + b7*b75 + b7*b76
      + b7*b77 + b7*b78 + b7*b79 + b7*b80 + b7*b81 + b7*b82 + b7*b83 + b7*b84
      + b7*b85 + b7*b86 + b7*b87 + b7*b88 + b7*b89 + b7*b103 + b7*b104 + b7*
     b150 + b7*b151 + b7*b152 + b7*b153 + b7*b154 + b7*b155 + b7*b156 + b7*b157
      + b7*b158 + b7*b159 + b7*b160 + b7*b161 + b7*b162 + b7*b163 + b7*b164 + 
     b7*b165 + b7*b166 + b7*b167 + b8*b39 + b8*b40 + b8*b41 + b8*b42 + b8*b44
      + b8*b45 + b8*b46 + b8*b47 + b8*b48 + b8*b49 + b8*b50 + b8*b51 + b8*b52
      + b8*b53 + b8*b54 + b8*b55 + b8*b56 + b8*b57 + b8*b58 + b8*b59 + b8*b60
      + b8*b61 + b8*b62 + b8*b63 + b8*b64 + b8*b65 + b8*b66 + b8*b67 + b8*b69
      + b8*b70 + b8*b71 + b8*b72 + b8*b73 + b8*b74 + b8*b75 + b8*b76 + b8*b77
      + b8*b78 + b8*b79 + b8*b80 + b8*b81 + b8*b82 + b8*b83 + b8*b84 + b8*b85
      + b8*b86 + b8*b87 + b8*b88 + b8*b89 + b8*b103 + b8*b104 + b8*b168 + b8*
     b169 + b8*b170 + b8*b171 + b8*b172 + b8*b173 + b8*b174 + b8*b175 + b8*b176
      + b8*b177 + b8*b178 + b8*b179 + b8*b180 + b8*b181 + b8*b182 + b8*b183 + 
     b8*b184 + b8*b185 + b9*b39 + b9*b40 + b9*b41 + b9*b42 + b9*b43 + b9*b45 + 
     b9*b46 + b9*b47 + b9*b48 + b9*b49 + b9*b50 + b9*b51 + b9*b52 + b9*b53 + b9
     *b54 + b9*b55 + b9*b56 + b9*b57 + b9*b58 + b9*b59 + b9*b60 + b9*b61 + b9*
     b62 + b9*b63 + b9*b64 + b9*b65 + b9*b66 + b9*b67 + b9*b68 + b9*b70 + b9*
     b71 + b9*b72 + b9*b73 + b9*b74 + b9*b75 + b9*b76 + b9*b77 + b9*b78 + b9*
     b79 + b9*b80 + b9*b81 + b9*b82 + b9*b83 + b9*b84 + b9*b85 + b9*b86 + b9*
     b87 + b9*b88 + b9*b89 + b9*b103 + b9*b104 + b9*b186 + b9*b187 + b9*b188 + 
     b9*b189 + b9*b190 + b9*b191 + b9*b192 + b9*b193 + b9*b194 + b9*b195 + b9*
     b196 + b9*b197 + b9*b198 + b9*b199 + b9*b200 + b9*b201 + b9*b202 + b9*b203
      + b9*b204 + b9*b205 + b10*b39 + b10*b40 + b10*b41 + b10*b42 + b10*b43 + 
     b10*b44 + b10*b46 + b10*b47 + b10*b48 + b10*b49 + b10*b50 + b10*b51 + b10*
     b52 + b10*b53 + b10*b54 + b10*b55 + b10*b56 + b10*b57 + b10*b58 + b10*b59
      + b10*b60 + b10*b61 + b10*b62 + b10*b63 + b10*b64 + b10*b65 + b10*b66 + 
     b10*b67 + b10*b68 + b10*b69 + b10*b71 + b10*b72 + b10*b73 + b10*b74 + b10*
     b75 + b10*b76 + b10*b77 + b10*b78 + b10*b79 + b10*b80 + b10*b81 + b10*b82
      + b10*b83 + b10*b84 + b10*b85 + b10*b86 + b10*b87 + b10*b88 + b10*b89 + 
     b10*b103 + b10*b104 + b10*b206 + b10*b207 + b10*b208 + b10*b209 + b10*b210
      + b10*b211 + b10*b212 + b10*b213 + b10*b214 + b10*b215 + b10*b216 + b10*
     b217 + b10*b218 + b10*b219 + b10*b220 + b10*b221 + b10*b222 + b10*b223 + 
     b10*b224 + b10*b225 + b11*b39 + b11*b40 + b11*b41 + b11*b42 + b11*b43 + 
     b11*b44 + b11*b45 + b11*b47 + b11*b48 + b11*b49 + b11*b50 + b11*b51 + b11*
     b52 + b11*b53 + b11*b54 + b11*b55 + b11*b56 + b11*b57 + b11*b58 + b11*b59
      + b11*b60 + b11*b61 + b11*b62 + b11*b63 + b11*b64 + b11*b65 + b11*b66 + 
     b11*b67 + b11*b68 + b11*b69 + b11*b70 + b11*b72 + b11*b73 + b11*b74 + b11*
     b75 + b11*b76 + b11*b77 + b11*b78 + b11*b79 + b11*b80 + b11*b81 + b11*b82
      + b11*b83 + b11*b84 + b11*b85 + b11*b86 + b11*b87 + b11*b88 + b11*b89 + 
     b11*b103 + b11*b104 + b11*b226 + b11*b227 + b11*b228 + b11*b229 + b11*b230
      + b11*b231 + b11*b232 + b11*b233 + b11*b234 + b11*b235 + b11*b236 + b11*
     b237 + b11*b238 + b11*b239 + b11*b240 + b11*b241 + b11*b242 + b11*b243 + 
     b11*b244 + b11*b245 + b11*b246 + b11*b247 + b12*b39 + b12*b40 + b12*b41 + 
     b12*b42 + b12*b43 + b12*b44 + b12*b45 + b12*b46 + b12*b48 + b12*b49 + b12*
     b50 + b12*b51 + b12*b52 + b12*b53 + b12*b54 + b12*b55 + b12*b56 + b12*b57
      + b12*b58 + b12*b59 + b12*b60 + b12*b61 + b12*b62 + b12*b63 + b12*b64 + 
     b12*b65 + b12*b66 + b12*b67 + b12*b68 + b12*b69 + b12*b70 + b12*b71 + b12*
     b73 + b12*b74 + b12*b75 + b12*b76 + b12*b77 + b12*b78 + b12*b79 + b12*b80
      + b12*b81 + b12*b82 + b12*b83 + b12*b84 + b12*b85 + b12*b86 + b12*b87 + 
     b12*b88 + b12*b89 + b12*b103 + b12*b104 + b12*b248 + b12*b249 + b12*b250
      + b12*b251 + b12*b252 + b12*b253 + b12*b254 + b12*b255 + b12*b256 + b12*
     b257 + b12*b258 + b12*b259 + b12*b260 + b12*b261 + b12*b262 + b12*b263 + 
     b12*b264 + b12*b265 + b12*b266 + b12*b267 + b12*b268 + b13*b39 + b13*b40
      + b13*b41 + b13*b42 + b13*b43 + b13*b44 + b13*b45 + b13*b46 + b13*b47 + 
     b13*b49 + b13*b50 + b13*b51 + b13*b52 + b13*b53 + b13*b54 + b13*b55 + b13*
     b56 + b13*b57 + b13*b58 + b13*b59 + b13*b60 + b13*b61 + b13*b62 + b13*b63
      + b13*b64 + b13*b65 + b13*b66 + b13*b67 + b13*b68 + b13*b69 + b13*b70 + 
     b13*b71 + b13*b72 + b13*b74 + b13*b75 + b13*b76 + b13*b77 + b13*b78 + b13*
     b79 + b13*b80 + b13*b81 + b13*b82 + b13*b83 + b13*b84 + b13*b85 + b13*b86
      + b13*b87 + b13*b88 + b13*b89 + b13*b103 + b13*b104 + b13*b269 + b13*b270
      + b13*b271 + b13*b272 + b13*b273 + b13*b274 + b13*b275 + b13*b276 + b13*
     b277 + b13*b278 + b13*b279 + b13*b280 + b13*b281 + b13*b282 + b13*b283 + 
     b13*b284 + b13*b285 + b13*b286 + b13*b287 + b13*b288 + b13*b289 + b13*b290
      + b14*b39 + b14*b40 + b14*b41 + b14*b42 + b14*b43 + b14*b44 + b14*b45 + 
     b14*b46 + b14*b47 + b14*b48 + b14*b50 + b14*b51 + b14*b52 + b14*b53 + b14*
     b54 + b14*b55 + b14*b56 + b14*b57 + b14*b58 + b14*b59 + b14*b60 + b14*b61
      + b14*b62 + b14*b63 + b14*b64 + b14*b65 + b14*b66 + b14*b67 + b14*b68 + 
     b14*b69 + b14*b70 + b14*b71 + b14*b72 + b14*b73 + b14*b75 + b14*b76 + b14*
     b77 + b14*b78 + b14*b79 + b14*b80 + b14*b81 + b14*b82 + b14*b83 + b14*b84
      + b14*b85 + b14*b86 + b14*b87 + b14*b88 + b14*b89 + b14*b103 + b14*b104
      + b14*b291 + b14*b292 + b14*b293 + b14*b294 + b14*b295 + b14*b296 + b14*
     b297 + b14*b298 + b14*b299 + b14*b300 + b14*b301 + b14*b302 + b14*b303 + 
     b14*b304 + b14*b305 + b14*b306 + b14*b307 + b14*b308 + b14*b309 + b14*b310
      + b14*b311 + b15*b39 + b15*b40 + b15*b41 + b15*b42 + b15*b43 + b15*b44 + 
     b15*b45 + b15*b46 + b15*b47 + b15*b48 + b15*b49 + b15*b51 + b15*b52 + b15*
     b53 + b15*b54 + b15*b55 + b15*b56 + b15*b57 + b15*b58 + b15*b59 + b15*b60
      + b15*b61 + b15*b62 + b15*b63 + b15*b64 + b15*b65 + b15*b66 + b15*b67 + 
     b15*b68 + b15*b69 + b15*b70 + b15*b71 + b15*b72 + b15*b73 + b15*b74 + b15*
     b76 + b15*b77 + b15*b78 + b15*b79 + b15*b80 + b15*b81 + b15*b82 + b15*b83
      + b15*b84 + b15*b85 + b15*b86 + b15*b87 + b15*b88 + b15*b89 + b15*b103 + 
     b15*b104 + b15*b312 + b15*b313 + b15*b314 + b15*b315 + b15*b316 + b15*b317
      + b15*b318 + b15*b319 + b15*b320 + b15*b321 + b15*b322 + b15*b323 + b15*
     b324 + b15*b325 + b15*b326 + b15*b327 + b15*b328 + b15*b329 + b15*b330 + 
     b15*b331 + b15*b332 + b15*b333 + b16*b39 + b16*b40 + b16*b41 + b16*b42 + 
     b16*b43 + b16*b44 + b16*b45 + b16*b46 + b16*b47 + b16*b48 + b16*b49 + b16*
     b50 + b16*b52 + b16*b53 + b16*b54 + b16*b55 + b16*b56 + b16*b57 + b16*b58
      + b16*b59 + b16*b60 + b16*b61 + b16*b62 + b16*b63 + b16*b64 + b16*b65 + 
     b16*b66 + b16*b67 + b16*b68 + b16*b69 + b16*b70 + b16*b71 + b16*b72 + b16*
     b73 + b16*b74 + b16*b75 + b16*b77 + b16*b78 + b16*b79 + b16*b80 + b16*b81
      + b16*b82 + b16*b83 + b16*b84 + b16*b85 + b16*b86 + b16*b87 + b16*b88 + 
     b16*b89 + b16*b103 + b16*b104 + b16*b334 + b16*b335 + b16*b336 + b16*b337
      + b16*b338 + b16*b339 + b16*b340 + b16*b341 + b16*b342 + b16*b343 + b16*
     b344 + b16*b345 + b16*b346 + b16*b347 + b16*b348 + b16*b349 + b16*b350 + 
     b16*b351 + b16*b352 + b16*b353 + b16*b354 + b17*b39 + b17*b40 + b17*b41 + 
     b17*b42 + b17*b43 + b17*b44 + b17*b45 + b17*b46 + b17*b47 + b17*b48 + b17*
     b49 + b17*b50 + b17*b51 + b17*b53 + b17*b54 + b17*b55 + b17*b56 + b17*b57
      + b17*b58 + b17*b59 + b17*b60 + b17*b61 + b17*b62 + b17*b63 + b17*b64 + 
     b17*b65 + b17*b66 + b17*b67 + b17*b68 + b17*b69 + b17*b70 + b17*b71 + b17*
     b72 + b17*b73 + b17*b74 + b17*b75 + b17*b76 + b17*b78 + b17*b79 + b17*b80
      + b17*b81 + b17*b82 + b17*b83 + b17*b84 + b17*b85 + b17*b86 + b17*b87 + 
     b17*b88 + b17*b89 + b17*b103 + b17*b104 + b17*b355 + b17*b356 + b17*b357
      + b17*b358 + b17*b359 + b17*b360 + b17*b361 + b17*b362 + b17*b363 + b17*
     b364 + b17*b365 + b17*b366 + b17*b367 + b17*b368 + b17*b369 + b17*b370 + 
     b17*b371 + b17*b372 + b17*b373 + b17*b374 + b17*b375 + b17*b376 + b18*b39
      + b18*b40 + b18*b41 + b18*b42 + b18*b43 + b18*b44 + b18*b45 + b18*b46 + 
     b18*b47 + b18*b48 + b18*b49 + b18*b50 + b18*b51 + b18*b52 + b18*b54 + b18*
     b55 + b18*b56 + b18*b57 + b18*b58 + b18*b59 + b18*b60 + b18*b61 + b18*b62
      + b18*b63 + b18*b64 + b18*b65 + b18*b66 + b18*b67 + b18*b68 + b18*b69 + 
     b18*b70 + b18*b71 + b18*b72 + b18*b73 + b18*b74 + b18*b75 + b18*b76 + b18*
     b77 + b18*b79 + b18*b80 + b18*b81 + b18*b82 + b18*b83 + b18*b84 + b18*b85
      + b18*b86 + b18*b87 + b18*b88 + b18*b89 + b18*b103 + b18*b104 + b18*b377
      + b18*b378 + b18*b379 + b18*b380 + b18*b381 + b18*b382 + b18*b383 + b18*
     b384 + b18*b385 + b18*b386 + b18*b387 + b18*b388 + b18*b389 + b18*b390 + 
     b18*b391 + b18*b392 + b18*b393 + b18*b394 + b18*b395 + b18*b396 + b18*b397
      + b19*b39 + b19*b40 + b19*b41 + b19*b42 + b19*b43 + b19*b44 + b19*b45 + 
     b19*b46 + b19*b47 + b19*b48 + b19*b49 + b19*b50 + b19*b51 + b19*b52 + b19*
     b53 + b19*b55 + b19*b56 + b19*b57 + b19*b58 + b19*b59 + b19*b60 + b19*b61
      + b19*b62 + b19*b63 + b19*b64 + b19*b65 + b19*b66 + b19*b67 + b19*b68 + 
     b19*b69 + b19*b70 + b19*b71 + b19*b72 + b19*b73 + b19*b74 + b19*b75 + b19*
     b76 + b19*b77 + b19*b78 + b19*b80 + b19*b81 + b19*b82 + b19*b83 + b19*b84
      + b19*b85 + b19*b86 + b19*b87 + b19*b88 + b19*b89 + b19*b103 + b19*b104
      + b19*b398 + b19*b399 + b19*b400 + b19*b401 + b19*b402 + b19*b403 + b19*
     b404 + b19*b405 + b19*b406 + b19*b407 + b19*b408 + b19*b409 + b19*b410 + 
     b19*b411 + b19*b412 + b19*b413 + b19*b414 + b19*b415 + b19*b416 + b19*b417
      + b19*b418 + b19*b419 + b20*b39 + b20*b40 + b20*b41 + b20*b42 + b20*b43
      + b20*b44 + b20*b45 + b20*b46 + b20*b47 + b20*b48 + b20*b49 + b20*b50 + 
     b20*b51 + b20*b52 + b20*b53 + b20*b54 + b20*b56 + b20*b57 + b20*b58 + b20*
     b59 + b20*b60 + b20*b61 + b20*b62 + b20*b63 + b20*b64 + b20*b65 + b20*b66
      + b20*b67 + b20*b68 + b20*b69 + b20*b70 + b20*b71 + b20*b72 + b20*b73 + 
     b20*b74 + b20*b75 + b20*b76 + b20*b77 + b20*b78 + b20*b79 + b20*b81 + b20*
     b82 + b20*b83 + b20*b84 + b20*b85 + b20*b86 + b20*b87 + b20*b88 + b20*b89
      + b20*b103 + b20*b104 + b20*b420 + b20*b421 + b20*b422 + b20*b423 + b20*
     b424 + b20*b425 + b20*b426 + b20*b427 + b20*b428 + b20*b429 + b20*b430 + 
     b20*b431 + b20*b432 + b20*b433 + b20*b434 + b20*b435 + b20*b436 + b20*b437
      + b20*b438 + b20*b439 + b21*b39 + b21*b40 + b21*b41 + b21*b42 + b21*b43
      + b21*b44 + b21*b45 + b21*b46 + b21*b47 + b21*b48 + b21*b49 + b21*b50 + 
     b21*b51 + b21*b52 + b21*b53 + b21*b54 + b21*b55 + b21*b57 + b21*b58 + b21*
     b59 + b21*b60 + b21*b61 + b21*b62 + b21*b63 + b21*b64 + b21*b65 + b21*b66
      + b21*b67 + b21*b68 + b21*b69 + b21*b70 + b21*b71 + b21*b72 + b21*b73 + 
     b21*b74 + b21*b75 + b21*b76 + b21*b77 + b21*b78 + b21*b79 + b21*b80 + b21*
     b82 + b21*b83 + b21*b84 + b21*b85 + b21*b86 + b21*b87 + b21*b88 + b21*b89
      + b21*b103 + b21*b104 + b21*b440 + b21*b441 + b21*b442 + b21*b443 + b21*
     b444 + b21*b445 + b21*b446 + b21*b447 + b21*b448 + b21*b449 + b21*b450 + 
     b21*b451 + b21*b452 + b21*b453 + b21*b454 + b21*b455 + b21*b456 + b21*b457
      + b21*b458 + b21*b459 + b22*b39 + b22*b40 + b22*b41 + b22*b42 + b22*b43
      + b22*b44 + b22*b45 + b22*b46 + b22*b47 + b22*b48 + b22*b49 + b22*b50 + 
     b22*b51 + b22*b52 + b22*b53 + b22*b54 + b22*b55 + b22*b56 + b22*b58 + b22*
     b59 + b22*b60 + b22*b61 + b22*b62 + b22*b63 + b22*b64 + b22*b65 + b22*b66
      + b22*b67 + b22*b68 + b22*b69 + b22*b70 + b22*b71 + b22*b72 + b22*b73 + 
     b22*b74 + b22*b75 + b22*b76 + b22*b77 + b22*b78 + b22*b79 + b22*b80 + b22*
     b81 + b22*b83 + b22*b84 + b22*b85 + b22*b86 + b22*b87 + b22*b88 + b22*b89
      + b22*b103 + b22*b104 + b22*b460 + b22*b461 + b22*b462 + b22*b463 + b22*
     b464 + b22*b465 + b22*b466 + b22*b467 + b22*b468 + b22*b469 + b22*b470 + 
     b22*b471 + b22*b472 + b22*b473 + b22*b474 + b22*b475 + b22*b476 + b22*b477
      + b23*b39 + b23*b40 + b23*b41 + b23*b42 + b23*b43 + b23*b44 + b23*b45 + 
     b23*b46 + b23*b47 + b23*b48 + b23*b49 + b23*b50 + b23*b51 + b23*b52 + b23*
     b53 + b23*b54 + b23*b55 + b23*b56 + b23*b57 + b23*b59 + b23*b60 + b23*b61
      + b23*b62 + b23*b63 + b23*b64 + b23*b65 + b23*b66 + b23*b67 + b23*b68 + 
     b23*b69 + b23*b70 + b23*b71 + b23*b72 + b23*b73 + b23*b74 + b23*b75 + b23*
     b76 + b23*b77 + b23*b78 + b23*b79 + b23*b80 + b23*b81 + b23*b82 + b23*b84
      + b23*b85 + b23*b86 + b23*b87 + b23*b88 + b23*b89 + b23*b103 + b23*b104
      + b23*b478 + b23*b479 + b23*b480 + b23*b481 + b23*b482 + b23*b483 + b23*
     b484 + b23*b485 + b23*b486 + b23*b487 + b23*b488 + b23*b489 + b23*b490 + 
     b23*b491 + b23*b492 + b23*b493 + b23*b494 + b23*b495 + b24*b39 + b24*b40
      + b24*b41 + b24*b42 + b24*b43 + b24*b44 + b24*b45 + b24*b46 + b24*b47 + 
     b24*b48 + b24*b49 + b24*b50 + b24*b51 + b24*b52 + b24*b53 + b24*b54 + b24*
     b55 + b24*b56 + b24*b57 + b24*b58 + b24*b60 + b24*b61 + b24*b62 + b24*b63
      + b24*b64 + b24*b65 + b24*b66 + b24*b67 + b24*b68 + b24*b69 + b24*b70 + 
     b24*b71 + b24*b72 + b24*b73 + b24*b74 + b24*b75 + b24*b76 + b24*b77 + b24*
     b78 + b24*b79 + b24*b80 + b24*b81 + b24*b82 + b24*b83 + b24*b85 + b24*b86
      + b24*b87 + b24*b88 + b24*b89 + b24*b103 + b24*b104 + b24*b496 + b24*b497
      + b24*b498 + b24*b499 + b24*b500 + b24*b501 + b24*b502 + b24*b503 + b24*
     b504 + b24*b505 + b24*b506 + b24*b507 + b24*b508 + b24*b509 + b24*b510 + 
     b24*b511 + b25*b39 + b25*b40 + b25*b41 + b25*b42 + b25*b43 + b25*b44 + b25
     *b45 + b25*b46 + b25*b47 + b25*b48 + b25*b49 + b25*b50 + b25*b51 + b25*b52
      + b25*b53 + b25*b54 + b25*b55 + b25*b56 + b25*b57 + b25*b58 + b25*b59 + 
     b25*b61 + b25*b62 + b25*b63 + b25*b64 + b25*b65 + b25*b66 + b25*b67 + b25*
     b68 + b25*b69 + b25*b70 + b25*b71 + b25*b72 + b25*b73 + b25*b74 + b25*b75
      + b25*b76 + b25*b77 + b25*b78 + b25*b79 + b25*b80 + b25*b81 + b25*b82 + 
     b25*b83 + b25*b84 + b25*b86 + b25*b87 + b25*b88 + b25*b89 + b25*b103 + b25
     *b104 + b25*b512 + b25*b513 + b25*b514 + b25*b515 + b25*b516 + b25*b517 + 
     b25*b518 + b25*b519 + b25*b520 + b25*b521 + b25*b522 + b25*b523 + b25*b524
      + b25*b525 + b25*b526 + b26*b39 + b26*b40 + b26*b41 + b26*b42 + b26*b43
      + b26*b44 + b26*b45 + b26*b46 + b26*b47 + b26*b48 + b26*b49 + b26*b50 + 
     b26*b51 + b26*b52 + b26*b53 + b26*b54 + b26*b55 + b26*b56 + b26*b57 + b26*
     b58 + b26*b59 + b26*b60 + b26*b62 + b26*b63 + b26*b64 + b26*b65 + b26*b66
      + b26*b67 + b26*b68 + b26*b69 + b26*b70 + b26*b71 + b26*b72 + b26*b73 + 
     b26*b74 + b26*b75 + b26*b76 + b26*b77 + b26*b78 + b26*b79 + b26*b80 + b26*
     b81 + b26*b82 + b26*b83 + b26*b84 + b26*b85 + b26*b87 + b26*b88 + b26*b89
      + b26*b103 + b26*b104 + b26*b527 + b26*b528 + b26*b529 + b26*b530 + b26*
     b531 + b26*b532 + b26*b533 + b26*b534 + b26*b535 + b26*b536 + b26*b537 + 
     b26*b538 + b26*b539 + b26*b540 + b27*b39 + b27*b40 + b27*b41 + b27*b42 + 
     b27*b43 + b27*b44 + b27*b45 + b27*b46 + b27*b47 + b27*b48 + b27*b49 + b27*
     b50 + b27*b51 + b27*b52 + b27*b53 + b27*b54 + b27*b55 + b27*b56 + b27*b57
      + b27*b58 + b27*b59 + b27*b60 + b27*b61 + b27*b63 + b27*b64 + b27*b65 + 
     b27*b66 + b27*b67 + b27*b68 + b27*b69 + b27*b70 + b27*b71 + b27*b72 + b27*
     b73 + b27*b74 + b27*b75 + b27*b76 + b27*b77 + b27*b78 + b27*b79 + b27*b80
      + b27*b81 + b27*b82 + b27*b83 + b27*b84 + b27*b85 + b27*b86 + b27*b88 + 
     b27*b89 + b27*b103 + b27*b104 + b27*b541 + b27*b542 + b27*b543 + b27*b544
      + b27*b545 + b27*b546 + b27*b547 + b27*b548 + b27*b549 + b27*b550 + b27*
     b551 + b27*b552 + b27*b553 + b28*b39 + b28*b40 + b28*b41 + b28*b42 + b28*
     b43 + b28*b44 + b28*b45 + b28*b46 + b28*b47 + b28*b48 + b28*b49 + b28*b50
      + b28*b51 + b28*b52 + b28*b53 + b28*b54 + b28*b55 + b28*b56 + b28*b57 + 
     b28*b58 + b28*b59 + b28*b60 + b28*b61 + b28*b62 + b28*b64 + b28*b65 + b28*
     b66 + b28*b67 + b28*b68 + b28*b69 + b28*b70 + b28*b71 + b28*b72 + b28*b73
      + b28*b74 + b28*b75 + b28*b76 + b28*b77 + b28*b78 + b28*b79 + b28*b80 + 
     b28*b81 + b28*b82 + b28*b83 + b28*b84 + b28*b85 + b28*b86 + b28*b87 + b28*
     b89 + b28*b103 + b28*b104 + b28*b554 + b28*b555 + b28*b556 + b28*b557 + 
     b28*b558 + b28*b559 + b28*b560 + b28*b561 + b28*b562 + b28*b563 + b28*b564
      + b29*b30 + b29*b31 + b29*b32 + b29*b33 + b29*b34 + b29*b35 + b29*b36 + 
     b29*b37 + b29*b38 + b29*b226 + b29*b248 + b29*b269 + b29*b291 + b29*b312
      + b29*b334 + b29*b355 + b29*b377 + b29*b398 + b29*b420 + b30*b31 + b30*
     b32 + b30*b33 + b30*b34 + b30*b35 + b30*b36 + b30*b37 + b30*b38 + b30*b249
      + b30*b270 + b30*b292 + b30*b313 + b30*b335 + b30*b356 + b30*b378 + b30*
     b399 + b31*b32 + b31*b33 + b31*b34 + b31*b35 + b31*b36 + b31*b37 + b31*b38
      + b31*b187 + b31*b207 + b31*b228 + b31*b250 + b31*b271 + b31*b293 + b31*
     b314 + b31*b336 + b31*b357 + b31*b379 + b31*b400 + b31*b421 + b31*b441 + 
     b31*b461 + b32*b33 + b32*b34 + b32*b35 + b32*b36 + b32*b37 + b32*b38 + b32
     *b171 + b32*b189 + b32*b209 + b32*b230 + b32*b252 + b32*b273 + b32*b294 + 
     b32*b315 + b32*b337 + b32*b359 + b32*b381 + b32*b402 + b32*b423 + b32*b443
      + b32*b463 + b32*b481 + b33*b34 + b33*b35 + b33*b36 + b33*b37 + b33*b38
      + b33*b123 + b33*b138 + b33*b155 + b33*b173 + b33*b191 + b33*b211 + b33*
     b232 + b33*b254 + b33*b275 + b33*b296 + b33*b318 + b33*b339 + b33*b361 + 
     b33*b383 + b33*b404 + b33*b425 + b33*b445 + b33*b465 + b33*b483 + b33*b500
      + b33*b516 + b33*b531 + b34*b35 + b34*b36 + b34*b37 + b34*b38 + b34*b157
      + b34*b175 + b34*b194 + b34*b214 + b34*b235 + b34*b257 + b34*b278 + b34*
     b299 + b34*b321 + b34*b342 + b34*b364 + b34*b386 + b34*b407 + b34*b428 + 
     b34*b448 + b34*b467 + b34*b485 + b34*b502 + b35*b36 + b35*b37 + b35*b38 + 
     b35*b142 + b35*b159 + b35*b177 + b35*b196 + b35*b216 + b35*b237 + b35*b259
      + b35*b281 + b35*b302 + b35*b324 + b35*b345 + b35*b367 + b35*b388 + b35*
     b409 + b35*b430 + b35*b450 + b35*b469 + b35*b487 + b35*b504 + b35*b519 + 
     b36*b37 + b36*b38 + b36*b113 + b36*b128 + b36*b144 + b36*b161 + b36*b179
      + b36*b198 + b36*b218 + b36*b240 + b36*b262 + b36*b284 + b36*b305 + b36*
     b327 + b36*b348 + b36*b370 + b36*b391 + b36*b412 + b36*b432 + b36*b452 + 
     b36*b471 + b36*b489 + b36*b506 + b36*b521 + b36*b535 + b36*b548 + b37*b38
      + b37*b221 + b37*b243 + b37*b265 + b37*b287 + b37*b308 + b37*b330 + b37*
     b351 + b37*b373 + b37*b394 + b37*b415 + b37*b435 + b37*b455 + b38*b101 + 
     b38*b117 + b38*b132 + b38*b148 + b38*b166 + b38*b184 + b38*b204 + b38*b224
      + b38*b246 + b38*b267 + b38*b289 + b38*b310 + b38*b332 + b38*b353 + b38*
     b375 + b38*b396 + b38*b418 + b38*b438 + b38*b458 + b38*b476 + b38*b494 + 
     b38*b510 + b38*b525 + b38*b538 + b38*b551 + b38*b563 + b38*b565 + b38*b566
      + b39*b567 + b39*b568 + b39*b569 + b39*b570 + b39*b571 + b39*b572 + b39*
     b573 + b39*b574 + b39*b575 + b39*b576 + b39*b577 + b39*b578 + b40*b565 + 
     b40*b567 + b40*b579 + b40*b580 + b40*b581 + b40*b582 + b40*b583 + b40*b584
      + b40*b585 + b40*b586 + b40*b587 + b40*b588 + b41*b90 + b41*b91 + b41*b92
      + b41*b93 + b41*b94 + b41*b95 + b41*b96 + b41*b97 + b41*b98 + b41*b99 + 
     b41*b100 + b41*b101 + b41*b102 + b41*b567 + b42*b105 + b42*b106 + b42*b107
      + b42*b108 + b42*b109 + b42*b110 + b42*b111 + b42*b112 + b42*b113 + b42*
     b114 + b42*b115 + b42*b116 + b42*b117 + b42*b118 + b42*b567 + b43*b89 + 
     b43*b119 + b43*b120 + b43*b121 + b43*b122 + b43*b123 + b43*b124 + b43*b125
      + b43*b126 + b43*b127 + b43*b128 + b43*b129 + b43*b130 + b43*b131 + b43*
     b132 + b43*b133 + b43*b567 + b44*b104 + b44*b134 + b44*b135 + b44*b136 + 
     b44*b137 + b44*b138 + b44*b139 + b44*b140 + b44*b141 + b44*b142 + b44*b143
      + b44*b144 + b44*b145 + b44*b146 + b44*b147 + b44*b148 + b44*b149 + b44*
     b567 + b45*b64 + b45*b150 + b45*b151 + b45*b152 + b45*b153 + b45*b154 + 
     b45*b155 + b45*b156 + b45*b157 + b45*b158 + b45*b159 + b45*b160 + b45*b161
      + b45*b162 + b45*b163 + b45*b164 + b45*b165 + b45*b166 + b45*b167 + b45*
     b567 + b46*b65 + b46*b168 + b46*b169 + b46*b170 + b46*b171 + b46*b172 + 
     b46*b173 + b46*b174 + b46*b175 + b46*b176 + b46*b177 + b46*b178 + b46*b179
      + b46*b180 + b46*b181 + b46*b182 + b46*b183 + b46*b184 + b46*b185 + b46*
     b567 + b47*b66 + b47*b186 + b47*b187 + b47*b188 + b47*b189 + b47*b190 + 
     b47*b191 + b47*b192 + b47*b193 + b47*b194 + b47*b195 + b47*b196 + b47*b197
      + b47*b198 + b47*b199 + b47*b200 + b47*b201 + b47*b202 + b47*b203 + b47*
     b204 + b47*b205 + b47*b567 + b48*b67 + b48*b206 + b48*b207 + b48*b208 + 
     b48*b209 + b48*b210 + b48*b211 + b48*b212 + b48*b213 + b48*b214 + b48*b215
      + b48*b216 + b48*b217 + b48*b218 + b48*b219 + b48*b220 + b48*b221 + b48*
     b222 + b48*b223 + b48*b224 + b48*b225 + b48*b567 + b49*b68 + b49*b226 + 
     b49*b227 + b49*b228 + b49*b229 + b49*b230 + b49*b231 + b49*b232 + b49*b233
      + b49*b234 + b49*b235 + b49*b236 + b49*b237 + b49*b238 + b49*b239 + b49*
     b240 + b49*b241 + b49*b242 + b49*b243 + b49*b244 + b49*b245 + b49*b246 + 
     b49*b247 + b49*b567 + b50*b69 + b50*b248 + b50*b249 + b50*b250 + b50*b251
      + b50*b252 + b50*b253 + b50*b254 + b50*b255 + b50*b256 + b50*b257 + b50*
     b258 + b50*b259 + b50*b260 + b50*b261 + b50*b262 + b50*b263 + b50*b264 + 
     b50*b265 + b50*b266 + b50*b267 + b50*b268 + b50*b567 + b51*b70 + b51*b269
      + b51*b270 + b51*b271 + b51*b272 + b51*b273 + b51*b274 + b51*b275 + b51*
     b276 + b51*b277 + b51*b278 + b51*b279 + b51*b280 + b51*b281 + b51*b282 + 
     b51*b283 + b51*b284 + b51*b285 + b51*b286 + b51*b287 + b51*b288 + b51*b289
      + b51*b290 + b51*b567 + b52*b71 + b52*b291 + b52*b292 + b52*b293 + b52*
     b294 + b52*b295 + b52*b296 + b52*b297 + b52*b298 + b52*b299 + b52*b300 + 
     b52*b301 + b52*b302 + b52*b303 + b52*b304 + b52*b305 + b52*b306 + b52*b307
      + b52*b308 + b52*b309 + b52*b310 + b52*b311 + b52*b567 + b53*b72 + b53*
     b312 + b53*b313 + b53*b314 + b53*b315 + b53*b316 + b53*b317 + b53*b318 + 
     b53*b319 + b53*b320 + b53*b321 + b53*b322 + b53*b323 + b53*b324 + b53*b325
      + b53*b326 + b53*b327 + b53*b328 + b53*b329 + b53*b330 + b53*b331 + b53*
     b332 + b53*b333 + b53*b567 + b54*b73 + b54*b334 + b54*b335 + b54*b336 + 
     b54*b337 + b54*b338 + b54*b339 + b54*b340 + b54*b341 + b54*b342 + b54*b343
      + b54*b344 + b54*b345 + b54*b346 + b54*b347 + b54*b348 + b54*b349 + b54*
     b350 + b54*b351 + b54*b352 + b54*b353 + b54*b354 + b54*b567 + b55*b74 + 
     b55*b355 + b55*b356 + b55*b357 + b55*b358 + b55*b359 + b55*b360 + b55*b361
      + b55*b362 + b55*b363 + b55*b364 + b55*b365 + b55*b366 + b55*b367 + b55*
     b368 + b55*b369 + b55*b370 + b55*b371 + b55*b372 + b55*b373 + b55*b374 + 
     b55*b375 + b55*b376 + b55*b567 + b56*b75 + b56*b377 + b56*b378 + b56*b379
      + b56*b380 + b56*b381 + b56*b382 + b56*b383 + b56*b384 + b56*b385 + b56*
     b386 + b56*b387 + b56*b388 + b56*b389 + b56*b390 + b56*b391 + b56*b392 + 
     b56*b393 + b56*b394 + b56*b395 + b56*b396 + b56*b397 + b56*b567 + b57*b76
      + b57*b398 + b57*b399 + b57*b400 + b57*b401 + b57*b402 + b57*b403 + b57*
     b404 + b57*b405 + b57*b406 + b57*b407 + b57*b408 + b57*b409 + b57*b410 + 
     b57*b411 + b57*b412 + b57*b413 + b57*b414 + b57*b415 + b57*b416 + b57*b417
      + b57*b418 + b57*b419 + b57*b567 + b58*b77 + b58*b420 + b58*b421 + b58*
     b422 + b58*b423 + b58*b424 + b58*b425 + b58*b426 + b58*b427 + b58*b428 + 
     b58*b429 + b58*b430 + b58*b431 + b58*b432 + b58*b433 + b58*b434 + b58*b435
      + b58*b436 + b58*b437 + b58*b438 + b58*b439 + b58*b567 + b59*b78 + b59*
     b440 + b59*b441 + b59*b442 + b59*b443 + b59*b444 + b59*b445 + b59*b446 + 
     b59*b447 + b59*b448 + b59*b449 + b59*b450 + b59*b451 + b59*b452 + b59*b453
      + b59*b454 + b59*b455 + b59*b456 + b59*b457 + b59*b458 + b59*b459 + b59*
     b567 + b60*b79 + b60*b460 + b60*b461 + b60*b462 + b60*b463 + b60*b464 + 
     b60*b465 + b60*b466 + b60*b467 + b60*b468 + b60*b469 + b60*b470 + b60*b471
      + b60*b472 + b60*b473 + b60*b474 + b60*b475 + b60*b476 + b60*b477 + b60*
     b567 + b61*b80 + b61*b478 + b61*b479 + b61*b480 + b61*b481 + b61*b482 + 
     b61*b483 + b61*b484 + b61*b485 + b61*b486 + b61*b487 + b61*b488 + b61*b489
      + b61*b490 + b61*b491 + b61*b492 + b61*b493 + b61*b494 + b61*b495 + b61*
     b567 + b62*b81 + b62*b496 + b62*b497 + b62*b498 + b62*b499 + b62*b500 + 
     b62*b501 + b62*b502 + b62*b503 + b62*b504 + b62*b505 + b62*b506 + b62*b507
      + b62*b508 + b62*b509 + b62*b510 + b62*b511 + b62*b567 + b63*b82 + b63*
     b512 + b63*b513 + b63*b514 + b63*b515 + b63*b516 + b63*b517 + b63*b518 + 
     b63*b519 + b63*b520 + b63*b521 + b63*b522 + b63*b523 + b63*b524 + b63*b525
      + b63*b526 + b63*b567 + b64*b150 + b64*b151 + b64*b152 + b64*b153 + b64*
     b154 + b64*b155 + b64*b156 + b64*b157 + b64*b158 + b64*b159 + b64*b160 + 
     b64*b161 + b64*b162 + b64*b163 + b64*b164 + b64*b165 + b64*b166 + b64*b167
      + b64*b567 + b65*b168 + b65*b169 + b65*b170 + b65*b171 + b65*b172 + b65*
     b173 + b65*b174 + b65*b175 + b65*b176 + b65*b177 + b65*b178 + b65*b179 + 
     b65*b180 + b65*b181 + b65*b182 + b65*b183 + b65*b184 + b65*b185 + b65*b567
      + b66*b186 + b66*b187 + b66*b188 + b66*b189 + b66*b190 + b66*b191 + b66*
     b192 + b66*b193 + b66*b194 + b66*b195 + b66*b196 + b66*b197 + b66*b198 + 
     b66*b199 + b66*b200 + b66*b201 + b66*b202 + b66*b203 + b66*b204 + b66*b205
      + b66*b567 + b67*b206 + b67*b207 + b67*b208 + b67*b209 + b67*b210 + b67*
     b211 + b67*b212 + b67*b213 + b67*b214 + b67*b215 + b67*b216 + b67*b217 + 
     b67*b218 + b67*b219 + b67*b220 + b67*b221 + b67*b222 + b67*b223 + b67*b224
      + b67*b225 + b67*b567 + b68*b226 + b68*b227 + b68*b228 + b68*b229 + b68*
     b230 + b68*b231 + b68*b232 + b68*b233 + b68*b234 + b68*b235 + b68*b236 + 
     b68*b237 + b68*b238 + b68*b239 + b68*b240 + b68*b241 + b68*b242 + b68*b243
      + b68*b244 + b68*b245 + b68*b246 + b68*b247 + b68*b567 + b69*b248 + b69*
     b249 + b69*b250 + b69*b251 + b69*b252 + b69*b253 + b69*b254 + b69*b255 + 
     b69*b256 + b69*b257 + b69*b258 + b69*b259 + b69*b260 + b69*b261 + b69*b262
      + b69*b263 + b69*b264 + b69*b265 + b69*b266 + b69*b267 + b69*b268 + b69*
     b567 + b70*b269 + b70*b270 + b70*b271 + b70*b272 + b70*b273 + b70*b274 + 
     b70*b275 + b70*b276 + b70*b277 + b70*b278 + b70*b279 + b70*b280 + b70*b281
      + b70*b282 + b70*b283 + b70*b284 + b70*b285 + b70*b286 + b70*b287 + b70*
     b288 + b70*b289 + b70*b290 + b70*b567 + b71*b291 + b71*b292 + b71*b293 + 
     b71*b294 + b71*b295 + b71*b296 + b71*b297 + b71*b298 + b71*b299 + b71*b300
      + b71*b301 + b71*b302 + b71*b303 + b71*b304 + b71*b305 + b71*b306 + b71*
     b307 + b71*b308 + b71*b309 + b71*b310 + b71*b311 + b71*b567 + b72*b312 + 
     b72*b313 + b72*b314 + b72*b315 + b72*b316 + b72*b317 + b72*b318 + b72*b319
      + b72*b320 + b72*b321 + b72*b322 + b72*b323 + b72*b324 + b72*b325 + b72*
     b326 + b72*b327 + b72*b328 + b72*b329 + b72*b330 + b72*b331 + b72*b332 + 
     b72*b333 + b72*b567 + b73*b334 + b73*b335 + b73*b336 + b73*b337 + b73*b338
      + b73*b339 + b73*b340 + b73*b341 + b73*b342 + b73*b343 + b73*b344 + b73*
     b345 + b73*b346 + b73*b347 + b73*b348 + b73*b349 + b73*b350 + b73*b351 + 
     b73*b352 + b73*b353 + b73*b354 + b73*b567 + b74*b355 + b74*b356 + b74*b357
      + b74*b358 + b74*b359 + b74*b360 + b74*b361 + b74*b362 + b74*b363 + b74*
     b364 + b74*b365 + b74*b366 + b74*b367 + b74*b368 + b74*b369 + b74*b370 + 
     b74*b371 + b74*b372 + b74*b373 + b74*b374 + b74*b375 + b74*b376 + b74*b567
      + b75*b377 + b75*b378 + b75*b379 + b75*b380 + b75*b381 + b75*b382 + b75*
     b383 + b75*b384 + b75*b385 + b75*b386 + b75*b387 + b75*b388 + b75*b389 + 
     b75*b390 + b75*b391 + b75*b392 + b75*b393 + b75*b394 + b75*b395 + b75*b396
      + b75*b397 + b75*b567 + b76*b398 + b76*b399 + b76*b400 + b76*b401 + b76*
     b402 + b76*b403 + b76*b404 + b76*b405 + b76*b406 + b76*b407 + b76*b408 + 
     b76*b409 + b76*b410 + b76*b411 + b76*b412 + b76*b413 + b76*b414 + b76*b415
      + b76*b416 + b76*b417 + b76*b418 + b76*b419 + b76*b567 + b77*b420 + b77*
     b421 + b77*b422 + b77*b423 + b77*b424 + b77*b425 + b77*b426 + b77*b427 + 
     b77*b428 + b77*b429 + b77*b430 + b77*b431 + b77*b432 + b77*b433 + b77*b434
      + b77*b435 + b77*b436 + b77*b437 + b77*b438 + b77*b439 + b77*b567 + b78*
     b440 + b78*b441 + b78*b442 + b78*b443 + b78*b444 + b78*b445 + b78*b446 + 
     b78*b447 + b78*b448 + b78*b449 + b78*b450 + b78*b451 + b78*b452 + b78*b453
      + b78*b454 + b78*b455 + b78*b456 + b78*b457 + b78*b458 + b78*b459 + b78*
     b567 + b79*b460 + b79*b461 + b79*b462 + b79*b463 + b79*b464 + b79*b465 + 
     b79*b466 + b79*b467 + b79*b468 + b79*b469 + b79*b470 + b79*b471 + b79*b472
      + b79*b473 + b79*b474 + b79*b475 + b79*b476 + b79*b477 + b79*b567 + b80*
     b478 + b80*b479 + b80*b480 + b80*b481 + b80*b482 + b80*b483 + b80*b484 + 
     b80*b485 + b80*b486 + b80*b487 + b80*b488 + b80*b489 + b80*b490 + b80*b491
      + b80*b492 + b80*b493 + b80*b494 + b80*b495 + b80*b567 + b81*b496 + b81*
     b497 + b81*b498 + b81*b499 + b81*b500 + b81*b501 + b81*b502 + b81*b503 + 
     b81*b504 + b81*b505 + b81*b506 + b81*b507 + b81*b508 + b81*b509 + b81*b510
      + b81*b511 + b81*b567 + b82*b512 + b82*b513 + b82*b514 + b82*b515 + b82*
     b516 + b82*b517 + b82*b518 + b82*b519 + b82*b520 + b82*b521 + b82*b522 + 
     b82*b523 + b82*b524 + b82*b525 + b82*b526 + b82*b567 + b83*b527 + b83*b528
      + b83*b529 + b83*b530 + b83*b531 + b83*b532 + b83*b533 + b83*b534 + b83*
     b535 + b83*b536 + b83*b537 + b83*b538 + b83*b539 + b83*b540 + b83*b567 + 
     b84*b541 + b84*b542 + b84*b543 + b84*b544 + b84*b545 + b84*b546 + b84*b547
      + b84*b548 + b84*b549 + b84*b550 + b84*b551 + b84*b552 + b84*b553 + b84*
     b567 + b85*b554 + b85*b555 + b85*b556 + b85*b557 + b85*b558 + b85*b559 + 
     b85*b560 + b85*b561 + b85*b562 + b85*b563 + b85*b564 + b85*b567 + b86*b566
      + b86*b567 + b86*b589 + b86*b590 + b86*b591 + b86*b592 + b86*b593 + b86*
     b594 + b86*b595 + b86*b596 + b86*b597 + b86*b598 + b87*b567 + b87*b599 + 
     b87*b600 + b87*b601 + b87*b602 + b87*b603 + b87*b604 + b87*b605 + b87*b606
      + b87*b607 + b87*b608 + b88*b567 + b88*b609 + b88*b610 + b88*b611 + b88*
     b612 + b88*b613 + b88*b614 + b88*b615 + b88*b616 + b88*b617 + b88*b618 + 
     b89*b119 + b89*b120 + b89*b121 + b89*b122 + b89*b123 + b89*b124 + b89*b125
      + b89*b126 + b89*b127 + b89*b128 + b89*b129 + b89*b130 + b89*b131 + b89*
     b132 + b89*b133 + b90*b91 + b90*b92 + b90*b93 + b90*b94 + b90*b95 + b90*
     b96 + b90*b97 + b90*b98 + b90*b99 + b90*b100 + b90*b101 + b90*b102 + b90*
     b206 + b90*b226 + b90*b248 + b90*b269 + b90*b312 + b90*b334 + b90*b355 + 
     b90*b377 + b90*b398 + b90*b420 + b91*b92 + b91*b93 + b91*b94 + b91*b95 + 
     b91*b96 + b91*b97 + b91*b98 + b91*b99 + b91*b100 + b91*b101 + b91*b102 + 
     b91*b227 + b91*b249 + b91*b270 + b91*b292 + b91*b335 + b91*b356 + b91*b378
      + b91*b399 + b92*b93 + b92*b94 + b92*b95 + b92*b96 + b92*b97 + b92*b98 + 
     b92*b99 + b92*b100 + b92*b101 + b92*b102 + b92*b169 + b92*b187 + b92*b207
      + b92*b228 + b92*b271 + b92*b293 + b92*b314 + b92*b336 + b92*b357 + b92*
     b379 + b92*b400 + b92*b421 + b92*b441 + b92*b461 + b93*b94 + b93*b95 + b93
     *b96 + b93*b97 + b93*b98 + b93*b99 + b93*b100 + b93*b101 + b93*b102 + b93*
     b153 + b93*b171 + b93*b189 + b93*b209 + b93*b252 + b93*b273 + b93*b294 + 
     b93*b315 + b93*b337 + b93*b359 + b93*b381 + b93*b402 + b93*b423 + b93*b443
      + b93*b463 + b93*b481 + b94*b95 + b94*b96 + b94*b97 + b94*b98 + b94*b99
      + b94*b100 + b94*b101 + b94*b102 + b94*b109 + b94*b123 + b94*b138 + b94*
     b155 + b94*b191 + b94*b211 + b94*b232 + b94*b254 + b94*b275 + b94*b296 + 
     b94*b318 + b94*b339 + b94*b361 + b94*b383 + b94*b404 + b94*b425 + b94*b445
      + b94*b465 + b94*b483 + b94*b500 + b94*b516 + b94*b531 + b95*b96 + b95*
     b97 + b95*b98 + b95*b99 + b95*b100 + b95*b101 + b95*b102 + b95*b140 + b95*
     b157 + b95*b175 + b95*b194 + b95*b235 + b95*b257 + b95*b278 + b95*b299 + 
     b95*b321 + b95*b342 + b95*b364 + b95*b386 + b95*b407 + b95*b428 + b95*b448
      + b95*b467 + b95*b485 + b95*b502 + b96*b97 + b96*b98 + b96*b99 + b96*b100
      + b96*b101 + b96*b102 + b96*b126 + b96*b142 + b96*b159 + b96*b177 + b96*
     b216 + b96*b237 + b96*b259 + b96*b281 + b96*b302 + b96*b324 + b96*b345 + 
     b96*b367 + b96*b388 + b96*b409 + b96*b430 + b96*b450 + b96*b469 + b96*b487
      + b96*b504 + b96*b519 + b97*b98 + b97*b99 + b97*b100 + b97*b101 + b97*
     b102 + b97*b114 + b97*b129 + b97*b145 + b97*b162 + b97*b180 + b97*b181 + 
     b97*b199 + b97*b200 + b97*b219 + b97*b220 + b97*b241 + b97*b242 + b97*b263
      + b97*b264 + b97*b285 + b97*b286 + b97*b306 + b97*b307 + b97*b328 + b97*
     b329 + b97*b349 + b97*b350 + b97*b371 + b97*b372 + b97*b392 + b97*b393 + 
     b97*b413 + b97*b414 + b97*b433 + b97*b434 + b97*b453 + b97*b454 + b97*b472
      + b97*b473 + b97*b490 + b97*b491 + b97*b507 + b97*b522 + b97*b536 + b97*
     b549 + b97*b561 + b97*b575 + b97*b586 + b97*b596 + b97*b606 + b97*b616 + 
     b97*b619 + b98*b99 + b98*b100 + b98*b101 + b98*b102 + b98*b113 + b98*b128
      + b98*b144 + b98*b179 + b98*b198 + b98*b218 + b98*b240 + b98*b262 + b98*
     b284 + b98*b305 + b98*b327 + b98*b348 + b98*b370 + b98*b391 + b98*b412 + 
     b98*b432 + b98*b452 + b98*b471 + b98*b489 + b98*b506 + b98*b521 + b98*b535
      + b98*b548 + b99*b100 + b99*b101 + b99*b102 + b99*b201 + b99*b221 + b99*
     b243 + b99*b265 + b99*b308 + b99*b330 + b99*b351 + b99*b373 + b99*b394 + 
     b99*b415 + b99*b435 + b99*b455 + b100*b101 + b100*b102 + b100*b117 + b100*
     b148 + b100*b166 + b100*b184 + b100*b204 + b100*b224 + b100*b246 + b100*
     b267 + b100*b289 + b100*b310 + b100*b332 + b100*b353 + b100*b375 + b100*
     b396 + b100*b418 + b100*b438 + b100*b458 + b100*b476 + b100*b494 + b100*
     b510 + b100*b525 + b100*b538 + b100*b551 + b100*b563 + b100*b565 + b100*
     b566 + b100*b578 + b101*b102 + b101*b116 + b101*b118 + b101*b131 + b101*
     b147 + b101*b149 + b101*b165 + b101*b167 + b101*b183 + b101*b185 + b101*
     b203 + b101*b205 + b101*b223 + b101*b225 + b101*b245 + b101*b247 + b101*
     b266 + b101*b268 + b101*b288 + b101*b290 + b101*b309 + b101*b311 + b101*
     b331 + b101*b333 + b101*b352 + b101*b354 + b101*b374 + b101*b376 + b101*
     b395 + b101*b397 + b101*b417 + b101*b419 + b101*b437 + b101*b439 + b101*
     b457 + b101*b459 + b101*b475 + b101*b477 + b101*b493 + b101*b495 + b101*
     b509 + b101*b511 + b101*b524 + b101*b526 + b101*b539 + b101*b540 + b101*
     b552 + b101*b553 + b101*b564 + b101*b588 + b101*b598 + b101*b608 + b101*
     b618 + b101*b620 + b102*b117 + b102*b132 + b102*b148 + b102*b166 + b102*
     b184 + b102*b204 + b102*b224 + b102*b246 + b102*b267 + b102*b289 + b102*
     b310 + b102*b332 + b102*b353 + b102*b375 + b102*b396 + b102*b418 + b102*
     b438 + b102*b458 + b102*b476 + b102*b494 + b102*b510 + b102*b525 + b102*
     b538 + b102*b551 + b102*b563 + b102*b565 + b102*b566 + b103*b567 + b103*
     b619 + b103*b620 + b103*b621 + b103*b622 + b103*b623 + b103*b624 + b103*
     b625 + b103*b626 + b103*b627 + b103*b628 + b104*b134 + b104*b135 + b104*
     b136 + b104*b137 + b104*b138 + b104*b139 + b104*b140 + b104*b141 + b104*
     b142 + b104*b143 + b104*b144 + b104*b145 + b104*b146 + b104*b147 + b104*
     b148 + b104*b149 + b104*b567 + b105*b106 + b105*b107 + b105*b108 + b105*
     b109 + b105*b110 + b105*b111 + b105*b112 + b105*b113 + b105*b114 + b105*
     b115 + b105*b116 + b105*b117 + b105*b118 + b105*b206 + b105*b226 + b105*
     b248 + b105*b269 + b105*b291 + b105*b334 + b105*b355 + b105*b377 + b105*
     b398 + b105*b420 + b106*b107 + b106*b108 + b106*b109 + b106*b110 + b106*
     b111 + b106*b112 + b106*b113 + b106*b114 + b106*b115 + b106*b116 + b106*
     b117 + b106*b118 + b106*b227 + b106*b249 + b106*b270 + b106*b292 + b106*
     b313 + b106*b356 + b106*b378 + b106*b399 + b107*b108 + b107*b109 + b107*
     b110 + b107*b111 + b107*b112 + b107*b113 + b107*b114 + b107*b115 + b107*
     b116 + b107*b117 + b107*b118 + b107*b169 + b107*b187 + b107*b207 + b107*
     b228 + b107*b250 + b107*b293 + b107*b314 + b107*b336 + b107*b357 + b107*
     b379 + b107*b400 + b107*b421 + b107*b441 + b107*b461 + b108*b109 + b108*
     b110 + b108*b111 + b108*b112 + b108*b113 + b108*b114 + b108*b115 + b108*
     b116 + b108*b117 + b108*b118 + b108*b153 + b108*b171 + b108*b189 + b108*
     b209 + b108*b230 + b108*b273 + b108*b294 + b108*b315 + b108*b337 + b108*
     b359 + b108*b381 + b108*b402 + b108*b423 + b108*b443 + b108*b463 + b108*
     b481 + b109*b110 + b109*b111 + b109*b112 + b109*b113 + b109*b114 + b109*
     b115 + b109*b116 + b109*b117 + b109*b118 + b109*b124 + b109*b139 + b109*
     b156 + b109*b174 + b109*b192 + b109*b212 + b109*b213 + b109*b233 + b109*
     b234 + b109*b255 + b109*b256 + b109*b276 + b109*b277 + b109*b297 + b109*
     b298 + b109*b319 + b109*b320 + b109*b340 + b109*b341 + b109*b362 + b109*
     b363 + b109*b384 + b109*b385 + b109*b405 + b109*b406 + b109*b426 + b109*
     b427 + b109*b446 + b109*b447 + b109*b466 + b109*b484 + b109*b501 + b109*
     b517 + b109*b532 + b109*b545 + b109*b558 + b109*b572 + b109*b583 + b109*
     b593 + b109*b603 + b109*b613 + b109*b625 + b110*b111 + b110*b112 + b110*
     b113 + b110*b114 + b110*b115 + b110*b116 + b110*b117 + b110*b118 + b110*
     b123 + b110*b138 + b110*b155 + b110*b173 + b110*b211 + b110*b232 + b110*
     b254 + b110*b275 + b110*b296 + b110*b318 + b110*b339 + b110*b361 + b110*
     b383 + b110*b404 + b110*b425 + b110*b445 + b110*b465 + b110*b483 + b110*
     b500 + b110*b516 + b110*b531 + b111*b112 + b111*b113 + b111*b114 + b111*
     b115 + b111*b116 + b111*b117 + b111*b118 + b111*b140 + b111*b157 + b111*
     b175 + b111*b194 + b111*b214 + b111*b257 + b111*b278 + b111*b299 + b111*
     b321 + b111*b342 + b111*b364 + b111*b386 + b111*b407 + b111*b428 + b111*
     b448 + b111*b467 + b111*b485 + b111*b502 + b112*b113 + b112*b114 + b112*
     b115 + b112*b116 + b112*b117 + b112*b118 + b112*b126 + b112*b142 + b112*
     b159 + b112*b177 + b112*b196 + b112*b237 + b112*b259 + b112*b281 + b112*
     b302 + b112*b324 + b112*b345 + b112*b367 + b112*b388 + b112*b409 + b112*
     b430 + b112*b450 + b112*b469 + b112*b487 + b112*b504 + b112*b519 + b113*
     b114 + b113*b115 + b113*b116 + b113*b117 + b113*b118 + b113*b129 + b113*
     b145 + b113*b162 + b113*b163 + b113*b180 + b113*b199 + b113*b200 + b113*
     b219 + b113*b220 + b113*b241 + b113*b242 + b113*b263 + b113*b264 + b113*
     b285 + b113*b286 + b113*b306 + b113*b307 + b113*b328 + b113*b329 + b113*
     b349 + b113*b350 + b113*b371 + b113*b372 + b113*b392 + b113*b393 + b113*
     b413 + b113*b414 + b113*b433 + b113*b434 + b113*b453 + b113*b454 + b113*
     b472 + b113*b473 + b113*b490 + b113*b491 + b113*b507 + b113*b522 + b113*
     b536 + b113*b549 + b113*b561 + b113*b575 + b113*b586 + b113*b596 + b113*
     b606 + b113*b616 + b114*b115 + b114*b116 + b114*b117 + b114*b118 + b114*
     b128 + b114*b144 + b114*b161 + b114*b198 + b114*b218 + b114*b240 + b114*
     b262 + b114*b284 + b114*b305 + b114*b327 + b114*b348 + b114*b370 + b114*
     b391 + b114*b412 + b114*b432 + b114*b452 + b114*b471 + b114*b489 + b114*
     b506 + b114*b521 + b114*b535 + b114*b548 + b115*b116 + b115*b117 + b115*
     b118 + b115*b201 + b115*b221 + b115*b243 + b115*b265 + b115*b287 + b115*
     b330 + b115*b351 + b115*b373 + b115*b394 + b115*b415 + b115*b435 + b115*
     b455 + b116*b117 + b116*b118 + b116*b132 + b116*b166 + b116*b184 + b116*
     b204 + b116*b224 + b116*b246 + b116*b267 + b116*b289 + b116*b310 + b116*
     b332 + b116*b353 + b116*b375 + b116*b396 + b116*b418 + b116*b438 + b116*
     b458 + b116*b476 + b116*b494 + b116*b510 + b116*b525 + b116*b538 + b116*
     b551 + b116*b563 + b116*b565 + b116*b566 + b116*b578 + b117*b118 + b117*
     b131 + b117*b133 + b117*b147 + b117*b165 + b117*b167 + b117*b183 + b117*
     b185 + b117*b203 + b117*b205 + b117*b223 + b117*b225 + b117*b245 + b117*
     b247 + b117*b266 + b117*b268 + b117*b288 + b117*b290 + b117*b309 + b117*
     b311 + b117*b331 + b117*b333 + b117*b352 + b117*b354 + b117*b374 + b117*
     b376 + b117*b395 + b117*b397 + b117*b417 + b117*b419 + b117*b437 + b117*
     b439 + b117*b457 + b117*b459 + b117*b475 + b117*b477 + b117*b493 + b117*
     b495 + b117*b509 + b117*b511 + b117*b524 + b117*b526 + b117*b539 + b117*
     b540 + b117*b552 + b117*b553 + b117*b564 + b117*b577 + b117*b598 + b117*
     b608 + b117*b618 + b117*b620 + b118*b132 + b118*b148 + b118*b166 + b118*
     b184 + b118*b204 + b118*b224 + b118*b246 + b118*b267 + b118*b289 + b118*
     b310 + b118*b332 + b118*b353 + b118*b375 + b118*b396 + b118*b418 + b118*
     b438 + b118*b458 + b118*b476 + b118*b494 + b118*b510 + b118*b525 + b118*
     b538 + b118*b551 + b118*b563 + b118*b566 + b118*b578 + b119*b120 + b119*
     b121 + b119*b122 + b119*b123 + b119*b124 + b119*b125 + b119*b126 + b119*
     b127 + b119*b128 + b119*b129 + b119*b130 + b119*b131 + b119*b132 + b119*
     b133 + b119*b206 + b119*b226 + b119*b248 + b119*b269 + b119*b291 + b119*
     b312 + b119*b355 + b119*b377 + b119*b398 + b119*b420 + b120*b121 + b120*
     b122 + b120*b123 + b120*b124 + b120*b125 + b120*b126 + b120*b127 + b120*
     b128 + b120*b129 + b120*b130 + b120*b131 + b120*b132 + b120*b133 + b120*
     b227 + b120*b249 + b120*b270 + b120*b292 + b120*b313 + b120*b335 + b120*
     b378 + b120*b399 + b121*b122 + b121*b123 + b121*b124 + b121*b125 + b121*
     b126 + b121*b127 + b121*b128 + b121*b129 + b121*b130 + b121*b131 + b121*
     b132 + b121*b133 + b121*b169 + b121*b187 + b121*b207 + b121*b228 + b121*
     b250 + b121*b271 + b121*b314 + b121*b336 + b121*b357 + b121*b379 + b121*
     b400 + b121*b421 + b121*b441 + b121*b461 + b122*b123 + b122*b124 + b122*
     b125 + b122*b126 + b122*b127 + b122*b128 + b122*b129 + b122*b130 + b122*
     b131 + b122*b132 + b122*b133 + b122*b153 + b122*b171 + b122*b189 + b122*
     b209 + b122*b230 + b122*b252 + b122*b294 + b122*b315 + b122*b337 + b122*
     b359 + b122*b381 + b122*b402 + b122*b423 + b122*b443 + b122*b463 + b122*
     b481 + b123*b124 + b123*b125 + b123*b126 + b123*b127 + b123*b128 + b123*
     b129 + b123*b130 + b123*b131 + b123*b132 + b123*b133 + b123*b139 + b123*
     b156 + b123*b174 + b123*b192 + b123*b193 + b123*b212 + b123*b233 + b123*
     b234 + b123*b255 + b123*b256 + b123*b276 + b123*b277 + b123*b297 + b123*
     b298 + b123*b319 + b123*b320 + b123*b340 + b123*b341 + b123*b362 + b123*
     b363 + b123*b384 + b123*b385 + b123*b405 + b123*b406 + b123*b426 + b123*
     b427 + b123*b446 + b123*b447 + b123*b466 + b123*b484 + b123*b501 + b123*
     b517 + b123*b532 + b123*b545 + b123*b558 + b123*b572 + b123*b583 + b123*
     b593 + b123*b603 + b123*b613 + b124*b125 + b124*b126 + b124*b127 + b124*
     b128 + b124*b129 + b124*b130 + b124*b131 + b124*b132 + b124*b133 + b124*
     b138 + b124*b155 + b124*b173 + b124*b191 + b124*b232 + b124*b254 + b124*
     b275 + b124*b296 + b124*b318 + b124*b339 + b124*b361 + b124*b383 + b124*
     b404 + b124*b425 + b124*b445 + b124*b465 + b124*b483 + b124*b500 + b124*
     b516 + b124*b531 + b125*b126 + b125*b127 + b125*b128 + b125*b129 + b125*
     b130 + b125*b131 + b125*b132 + b125*b133 + b125*b140 + b125*b157 + b125*
     b175 + b125*b194 + b125*b214 + b125*b235 + b125*b278 + b125*b299 + b125*
     b321 + b125*b342 + b125*b364 + b125*b386 + b125*b407 + b125*b428 + b125*
     b448 + b125*b467 + b125*b485 + b125*b502 + b126*b127 + b126*b128 + b126*
     b129 + b126*b130 + b126*b131 + b126*b132 + b126*b133 + b126*b143 + b126*
     b160 + b126*b178 + b126*b197 + b126*b217 + b126*b238 + b126*b260 + b126*
     b261 + b126*b282 + b126*b283 + b126*b303 + b126*b304 + b126*b325 + b126*
     b326 + b126*b346 + b126*b347 + b126*b368 + b126*b369 + b126*b389 + b126*
     b390 + b126*b410 + b126*b411 + b126*b431 + b126*b451 + b126*b470 + b126*
     b488 + b126*b505 + b126*b520 + b126*b534 + b126*b547 + b126*b560 + b126*
     b574 + b126*b585 + b126*b595 + b126*b605 + b126*b615 + b126*b627 + b127*
     b128 + b127*b129 + b127*b130 + b127*b131 + b127*b132 + b127*b133 + b127*
     b142 + b127*b159 + b127*b177 + b127*b196 + b127*b216 + b127*b259 + b127*
     b281 + b127*b302 + b127*b324 + b127*b345 + b127*b367 + b127*b388 + b127*
     b409 + b127*b430 + b127*b450 + b127*b469 + b127*b487 + b127*b504 + b127*
     b519 + b128*b129 + b128*b130 + b128*b131 + b128*b132 + b128*b133 + b128*
     b145 + b128*b162 + b128*b163 + b128*b180 + b128*b181 + b128*b199 + b128*
     b219 + b128*b220 + b128*b241 + b128*b242 + b128*b263 + b128*b264 + b128*
     b285 + b128*b286 + b128*b306 + b128*b307 + b128*b328 + b128*b329 + b128*
     b349 + b128*b350 + b128*b371 + b128*b372 + b128*b392 + b128*b393 + b128*
     b413 + b128*b414 + b128*b433 + b128*b434 + b128*b453 + b128*b454 + b128*
     b472 + b128*b473 + b128*b490 + b128*b491 + b128*b507 + b128*b522 + b128*
     b536 + b128*b549 + b128*b561 + b128*b586 + b128*b596 + b128*b606 + b128*
     b616 + b128*b619 + b129*b130 + b129*b131 + b129*b132 + b129*b133 + b129*
     b144 + b129*b161 + b129*b179 + b129*b218 + b129*b240 + b129*b262 + b129*
     b284 + b129*b305 + b129*b327 + b129*b348 + b129*b370 + b129*b391 + b129*
     b412 + b129*b432 + b129*b452 + b129*b471 + b129*b489 + b129*b506 + b129*
     b521 + b129*b535 + b129*b548 + b130*b131 + b130*b132 + b130*b133 + b130*
     b201 + b130*b221 + b130*b243 + b130*b265 + b130*b287 + b130*b308 + b130*
     b351 + b130*b373 + b130*b394 + b130*b415 + b130*b435 + b130*b455 + b131*
     b132 + b131*b133 + b131*b148 + b131*b184 + b131*b204 + b131*b224 + b131*
     b246 + b131*b267 + b131*b289 + b131*b310 + b131*b332 + b131*b353 + b131*
     b375 + b131*b396 + b131*b418 + b131*b438 + b131*b458 + b131*b476 + b131*
     b494 + b131*b510 + b131*b525 + b131*b538 + b131*b551 + b131*b563 + b131*
     b565 + b131*b566 + b131*b578 + b132*b133 + b132*b147 + b132*b149 + b132*
     b165 + b132*b183 + b132*b185 + b132*b203 + b132*b205 + b132*b223 + b132*
     b225 + b132*b245 + b132*b247 + b132*b266 + b132*b268 + b132*b288 + b132*
     b290 + b132*b309 + b132*b311 + b132*b331 + b132*b333 + b132*b352 + b132*
     b354 + b132*b374 + b132*b376 + b132*b395 + b132*b397 + b132*b417 + b132*
     b419 + b132*b437 + b132*b439 + b132*b457 + b132*b459 + b132*b475 + b132*
     b477 + b132*b493 + b132*b495 + b132*b509 + b132*b511 + b132*b524 + b132*
     b526 + b132*b539 + b132*b540 + b132*b552 + b132*b553 + b132*b564 + b132*
     b577 + b132*b588 + b132*b598 + b132*b608 + b132*b618 + b132*b620 + b133*
     b148 + b133*b166 + b133*b184 + b133*b204 + b133*b224 + b133*b246 + b133*
     b267 + b133*b289 + b133*b310 + b133*b332 + b133*b353 + b133*b375 + b133*
     b396 + b133*b418 + b133*b438 + b133*b458 + b133*b476 + b133*b494 + b133*
     b510 + b133*b525 + b133*b538 + b133*b551 + b133*b563 + b133*b565 + b133*
     b566 + b133*b578 + b134*b135 + b134*b136 + b134*b137 + b134*b138 + b134*
     b139 + b134*b140 + b134*b141 + b134*b142 + b134*b143 + b134*b144 + b134*
     b145 + b134*b146 + b134*b147 + b134*b148 + b134*b149 + b134*b206 + b134*
     b226 + b134*b248 + b134*b269 + b134*b291 + b134*b312 + b134*b334 + b134*
     b377 + b134*b398 + b134*b420 + b135*b136 + b135*b137 + b135*b138 + b135*
     b139 + b135*b140 + b135*b141 + b135*b142 + b135*b143 + b135*b144 + b135*
     b145 + b135*b146 + b135*b147 + b135*b148 + b135*b149 + b135*b227 + b135*
     b249 + b135*b270 + b135*b292 + b135*b313 + b135*b335 + b135*b356 + b135*
     b399 + b136*b137 + b136*b138 + b136*b139 + b136*b140 + b136*b141 + b136*
     b142 + b136*b143 + b136*b144 + b136*b145 + b136*b146 + b136*b147 + b136*
     b148 + b136*b149 + b136*b169 + b136*b187 + b136*b207 + b136*b228 + b136*
     b250 + b136*b271 + b136*b293 + b136*b336 + b136*b357 + b136*b379 + b136*
     b400 + b136*b421 + b136*b441 + b136*b461 + b137*b138 + b137*b139 + b137*
     b140 + b137*b141 + b137*b142 + b137*b143 + b137*b144 + b137*b145 + b137*
     b146 + b137*b147 + b137*b148 + b137*b149 + b137*b153 + b137*b171 + b137*
     b189 + b137*b209 + b137*b230 + b137*b252 + b137*b273 + b137*b315 + b137*
     b337 + b137*b359 + b137*b381 + b137*b402 + b137*b423 + b137*b443 + b137*
     b463 + b137*b481 + b138*b139 + b138*b140 + b138*b141 + b138*b142 + b138*
     b143 + b138*b144 + b138*b145 + b138*b146 + b138*b147 + b138*b148 + b138*
     b149 + b138*b156 + b138*b174 + b138*b192 + b138*b193 + b138*b212 + b138*
     b213 + b138*b233 + b138*b255 + b138*b256 + b138*b276 + b138*b277 + b138*
     b297 + b138*b298 + b138*b319 + b138*b320 + b138*b340 + b138*b341 + b138*
     b362 + b138*b363 + b138*b384 + b138*b385 + b138*b405 + b138*b406 + b138*
     b426 + b138*b427 + b138*b446 + b138*b447 + b138*b466 + b138*b484 + b138*
     b501 + b138*b517 + b138*b532 + b138*b545 + b138*b558 + b138*b583 + b138*
     b593 + b138*b603 + b138*b613 + b138*b625 + b139*b140 + b139*b141 + b139*
     b142 + b139*b143 + b139*b144 + b139*b145 + b139*b146 + b139*b147 + b139*
     b148 + b139*b149 + b139*b155 + b139*b173 + b139*b191 + b139*b211 + b139*
     b254 + b139*b275 + b139*b296 + b139*b318 + b139*b339 + b139*b361 + b139*
     b383 + b139*b404 + b139*b425 + b139*b445 + b139*b465 + b139*b483 + b139*
     b500 + b139*b516 + b139*b531 + b140*b141 + b140*b142 + b140*b143 + b140*
     b144 + b140*b145 + b140*b146 + b140*b147 + b140*b148 + b140*b149 + b140*
     b158 + b140*b176 + b140*b195 + b140*b215 + b140*b236 + b140*b258 + b140*
     b279 + b140*b300 + b140*b301 + b140*b322 + b140*b323 + b140*b343 + b140*
     b344 + b140*b365 + b140*b366 + b140*b387 + b140*b408 + b140*b429 + b140*
     b449 + b140*b468 + b140*b486 + b140*b503 + b140*b518 + b140*b533 + b140*
     b546 + b140*b559 + b140*b573 + b140*b584 + b140*b594 + b140*b604 + b140*
     b614 + b140*b626 + b141*b142 + b141*b143 + b141*b144 + b141*b145 + b141*
     b146 + b141*b147 + b141*b148 + b141*b149 + b141*b157 + b141*b175 + b141*
     b194 + b141*b214 + b141*b235 + b141*b257 + b141*b299 + b141*b321 + b141*
     b342 + b141*b364 + b141*b386 + b141*b407 + b141*b428 + b141*b448 + b141*
     b467 + b141*b485 + b141*b502 + b142*b143 + b142*b144 + b142*b145 + b142*
     b146 + b142*b147 + b142*b148 + b142*b149 + b142*b160 + b142*b178 + b142*
     b197 + b142*b217 + b142*b238 + b142*b239 + b142*b260 + b142*b282 + b142*
     b283 + b142*b303 + b142*b304 + b142*b325 + b142*b326 + b142*b346 + b142*
     b347 + b142*b368 + b142*b369 + b142*b389 + b142*b390 + b142*b410 + b142*
     b411 + b142*b431 + b142*b451 + b142*b470 + b142*b488 + b142*b505 + b142*
     b520 + b142*b534 + b142*b547 + b142*b560 + b142*b574 + b142*b585 + b142*
     b595 + b142*b605 + b142*b615 + b143*b144 + b143*b145 + b143*b146 + b143*
     b147 + b143*b148 + b143*b149 + b143*b159 + b143*b177 + b143*b196 + b143*
     b216 + b143*b237 + b143*b281 + b143*b302 + b143*b324 + b143*b345 + b143*
     b367 + b143*b388 + b143*b409 + b143*b430 + b143*b450 + b143*b469 + b143*
     b487 + b143*b504 + b143*b519 + b144*b145 + b144*b146 + b144*b147 + b144*
     b148 + b144*b149 + b144*b162 + b144*b163 + b144*b180 + b144*b181 + b144*
     b199 + b144*b200 + b144*b219 + b144*b241 + b144*b242 + b144*b263 + b144*
     b264 + b144*b285 + b144*b286 + b144*b306 + b144*b307 + b144*b328 + b144*
     b329 + b144*b349 + b144*b350 + b144*b371 + b144*b372 + b144*b392 + b144*
     b393 + b144*b413 + b144*b414 + b144*b433 + b144*b434 + b144*b453 + b144*
     b454 + b144*b472 + b144*b473 + b144*b490 + b144*b491 + b144*b507 + b144*
     b522 + b144*b536 + b144*b549 + b144*b561 + b144*b575 + b144*b596 + b144*
     b606 + b144*b616 + b144*b619 + b145*b146 + b145*b147 + b145*b148 + b145*
     b149 + b145*b161 + b145*b179 + b145*b198 + b145*b240 + b145*b262 + b145*
     b284 + b145*b305 + b145*b327 + b145*b348 + b145*b370 + b145*b391 + b145*
     b412 + b145*b432 + b145*b452 + b145*b471 + b145*b489 + b145*b506 + b145*
     b521 + b145*b535 + b145*b548 + b146*b147 + b146*b148 + b146*b149 + b146*
     b201 + b146*b221 + b146*b243 + b146*b265 + b146*b287 + b146*b308 + b146*
     b330 + b146*b373 + b146*b394 + b146*b415 + b146*b435 + b146*b455 + b147*
     b148 + b147*b149 + b147*b166 + b147*b204 + b147*b224 + b147*b246 + b147*
     b267 + b147*b289 + b147*b310 + b147*b332 + b147*b353 + b147*b375 + b147*
     b396 + b147*b418 + b147*b438 + b147*b458 + b147*b476 + b147*b494 + b147*
     b510 + b147*b525 + b147*b538 + b147*b551 + b147*b563 + b147*b565 + b147*
     b566 + b147*b578 + b148*b149 + b148*b165 + b148*b167 + b148*b183 + b148*
     b203 + b148*b205 + b148*b223 + b148*b225 + b148*b245 + b148*b247 + b148*
     b266 + b148*b268 + b148*b288 + b148*b290 + b148*b309 + b148*b311 + b148*
     b331 + b148*b333 + b148*b352 + b148*b354 + b148*b374 + b148*b376 + b148*
     b395 + b148*b397 + b148*b417 + b148*b419 + b148*b437 + b148*b439 + b148*
     b457 + b148*b459 + b148*b475 + b148*b477 + b148*b493 + b148*b495 + b148*
     b509 + b148*b511 + b148*b524 + b148*b526 + b148*b539 + b148*b540 + b148*
     b552 + b148*b553 + b148*b564 + b148*b577 + b148*b588 + b148*b598 + b148*
     b608 + b148*b618 + b148*b620 + b149*b166 + b149*b184 + b149*b204 + b149*
     b224 + b149*b246 + b149*b267 + b149*b289 + b149*b310 + b149*b332 + b149*
     b353 + b149*b375 + b149*b396 + b149*b418 + b149*b438 + b149*b458 + b149*
     b476 + b149*b494 + b149*b510 + b149*b525 + b149*b538 + b149*b551 + b149*
     b563 + b149*b565 + b149*b566 + b149*b578 + b150*b151 + b150*b152 + b150*
     b153 + b150*b154 + b150*b155 + b150*b156 + b150*b157 + b150*b158 + b150*
     b159 + b150*b160 + b150*b161 + b150*b162 + b150*b163 + b150*b164 + b150*
     b165 + b150*b166 + b150*b167 + b150*b206 + b150*b226 + b150*b248 + b150*
     b269 + b150*b291 + b150*b312 + b150*b334 + b150*b355 + b150*b398 + b150*
     b420 + b151*b152 + b151*b153 + b151*b154 + b151*b155 + b151*b156 + b151*
     b157 + b151*b158 + b151*b159 + b151*b160 + b151*b161 + b151*b162 + b151*
     b163 + b151*b164 + b151*b165 + b151*b166 + b151*b167 + b151*b227 + b151*
     b249 + b151*b270 + b151*b292 + b151*b313 + b151*b335 + b151*b356 + b151*
     b378 + b152*b153 + b152*b154 + b152*b155 + b152*b156 + b152*b157 + b152*
     b158 + b152*b159 + b152*b160 + b152*b161 + b152*b162 + b152*b163 + b152*
     b164 + b152*b165 + b152*b166 + b152*b167 + b152*b169 + b152*b187 + b152*
     b207 + b152*b228 + b152*b250 + b152*b271 + b152*b293 + b152*b314 + b152*
     b357 + b152*b379 + b152*b400 + b152*b421 + b152*b441 + b152*b461 + b153*
     b154 + b153*b155 + b153*b156 + b153*b157 + b153*b158 + b153*b159 + b153*
     b160 + b153*b161 + b153*b162 + b153*b163 + b153*b164 + b153*b165 + b153*
     b166 + b153*b167 + b153*b172 + b153*b190 + b153*b210 + b153*b231 + b153*
     b253 + b153*b274 + b153*b295 + b153*b316 + b153*b338 + b153*b360 + b153*
     b382 + b153*b403 + b153*b424 + b153*b444 + b153*b464 + b153*b482 + b153*
     b499 + b153*b515 + b153*b530 + b153*b544 + b153*b557 + b153*b571 + b153*
     b582 + b153*b592 + b153*b602 + b153*b612 + b153*b624 + b154*b155 + b154*
     b156 + b154*b157 + b154*b158 + b154*b159 + b154*b160 + b154*b161 + b154*
     b162 + b154*b163 + b154*b164 + b154*b165 + b154*b166 + b154*b167 + b154*
     b171 + b154*b189 + b154*b209 + b154*b230 + b154*b252 + b154*b273 + b154*
     b294 + b154*b337 + b154*b359 + b154*b381 + b154*b402 + b154*b423 + b154*
     b443 + b154*b463 + b154*b481 + b155*b156 + b155*b157 + b155*b158 + b155*
     b159 + b155*b160 + b155*b161 + b155*b162 + b155*b163 + b155*b164 + b155*
     b165 + b155*b166 + b155*b167 + b155*b174 + b155*b192 + b155*b193 + b155*
     b212 + b155*b213 + b155*b233 + b155*b234 + b155*b255 + b155*b276 + b155*
     b277 + b155*b297 + b155*b298 + b155*b319 + b155*b320 + b155*b340 + b155*
     b341 + b155*b362 + b155*b363 + b155*b384 + b155*b385 + b155*b405 + b155*
     b406 + b155*b426 + b155*b427 + b155*b446 + b155*b447 + b155*b466 + b155*
     b484 + b155*b501 + b155*b517 + b155*b532 + b155*b545 + b155*b558 + b155*
     b572 + b155*b593 + b155*b603 + b155*b613 + b155*b625 + b156*b157 + b156*
     b158 + b156*b159 + b156*b160 + b156*b161 + b156*b162 + b156*b163 + b156*
     b164 + b156*b165 + b156*b166 + b156*b167 + b156*b173 + b156*b191 + b156*
     b211 + b156*b232 + b156*b275 + b156*b296 + b156*b318 + b156*b339 + b156*
     b361 + b156*b383 + b156*b404 + b156*b425 + b156*b445 + b156*b465 + b156*
     b483 + b156*b500 + b156*b516 + b156*b531 + b157*b158 + b157*b159 + b157*
     b160 + b157*b161 + b157*b162 + b157*b163 + b157*b164 + b157*b165 + b157*
     b166 + b157*b167 + b157*b176 + b157*b195 + b157*b215 + b157*b236 + b157*
     b258 + b157*b279 + b157*b280 + b157*b300 + b157*b322 + b157*b323 + b157*
     b343 + b157*b344 + b157*b365 + b157*b366 + b157*b387 + b157*b408 + b157*
     b429 + b157*b449 + b157*b468 + b157*b486 + b157*b503 + b157*b518 + b157*
     b533 + b157*b546 + b157*b559 + b157*b573 + b157*b584 + b157*b594 + b157*
     b604 + b157*b614 + b158*b159 + b158*b160 + b158*b161 + b158*b162 + b158*
     b163 + b158*b164 + b158*b165 + b158*b166 + b158*b167 + b158*b175 + b158*
     b194 + b158*b214 + b158*b235 + b158*b257 + b158*b278 + b158*b321 + b158*
     b342 + b158*b364 + b158*b386 + b158*b407 + b158*b428 + b158*b448 + b158*
     b467 + b158*b485 + b158*b502 + b159*b160 + b159*b161 + b159*b162 + b159*
     b163 + b159*b164 + b159*b165 + b159*b166 + b159*b167 + b159*b178 + b159*
     b197 + b159*b217 + b159*b238 + b159*b239 + b159*b260 + b159*b261 + b159*
     b282 + b159*b303 + b159*b304 + b159*b325 + b159*b326 + b159*b346 + b159*
     b347 + b159*b368 + b159*b369 + b159*b389 + b159*b390 + b159*b410 + b159*
     b411 + b159*b431 + b159*b451 + b159*b470 + b159*b488 + b159*b505 + b159*
     b520 + b159*b534 + b159*b547 + b159*b560 + b159*b585 + b159*b595 + b159*
     b605 + b159*b615 + b159*b627 + b160*b161 + b160*b162 + b160*b163 + b160*
     b164 + b160*b165 + b160*b166 + b160*b167 + b160*b177 + b160*b196 + b160*
     b216 + b160*b237 + b160*b259 + b160*b302 + b160*b324 + b160*b345 + b160*
     b367 + b160*b388 + b160*b409 + b160*b430 + b160*b450 + b160*b469 + b160*
     b487 + b160*b504 + b160*b519 + b161*b162 + b161*b163 + b161*b164 + b161*
     b165 + b161*b166 + b161*b167 + b161*b180 + b161*b181 + b161*b199 + b161*
     b200 + b161*b219 + b161*b220 + b161*b241 + b161*b263 + b161*b264 + b161*
     b285 + b161*b286 + b161*b306 + b161*b307 + b161*b328 + b161*b329 + b161*
     b349 + b161*b350 + b161*b371 + b161*b372 + b161*b392 + b161*b393 + b161*
     b413 + b161*b414 + b161*b433 + b161*b434 + b161*b453 + b161*b454 + b161*
     b472 + b161*b473 + b161*b490 + b161*b491 + b161*b507 + b161*b522 + b161*
     b536 + b161*b549 + b161*b561 + b161*b575 + b161*b586 + b161*b596 + b161*
     b606 + b161*b616 + b161*b619 + b162*b163 + b162*b164 + b162*b165 + b162*
     b166 + b162*b167 + b162*b179 + b162*b198 + b162*b218 + b162*b262 + b162*
     b284 + b162*b305 + b162*b327 + b162*b348 + b162*b370 + b162*b391 + b162*
     b412 + b162*b432 + b162*b452 + b162*b471 + b162*b489 + b162*b506 + b162*
     b521 + b162*b535 + b162*b548 + b163*b164 + b163*b165 + b163*b166 + b163*
     b167 + b163*b179 + b163*b198 + b163*b218 + b163*b240 + b163*b262 + b163*
     b284 + b163*b305 + b163*b327 + b163*b348 + b163*b370 + b163*b391 + b163*
     b412 + b163*b432 + b163*b452 + b163*b471 + b163*b489 + b163*b506 + b163*
     b521 + b163*b535 + b163*b548 + b164*b165 + b164*b166 + b164*b167 + b164*
     b201 + b164*b221 + b164*b243 + b164*b265 + b164*b287 + b164*b308 + b164*
     b330 + b164*b351 + b164*b394 + b164*b415 + b164*b435 + b164*b455 + b165*
     b166 + b165*b167 + b165*b184 + b165*b224 + b165*b246 + b165*b267 + b165*
     b289 + b165*b310 + b165*b332 + b165*b353 + b165*b375 + b165*b396 + b165*
     b418 + b165*b438 + b165*b458 + b165*b476 + b165*b494 + b165*b510 + b165*
     b525 + b165*b538 + b165*b551 + b165*b563 + b165*b565 + b165*b566 + b165*
     b578 + b166*b167 + b166*b183 + b166*b185 + b166*b203 + b166*b223 + b166*
     b225 + b166*b245 + b166*b247 + b166*b266 + b166*b268 + b166*b288 + b166*
     b290 + b166*b309 + b166*b311 + b166*b331 + b166*b333 + b166*b352 + b166*
     b354 + b166*b374 + b166*b376 + b166*b395 + b166*b397 + b166*b417 + b166*
     b419 + b166*b437 + b166*b439 + b166*b457 + b166*b459 + b166*b475 + b166*
     b477 + b166*b493 + b166*b495 + b166*b509 + b166*b511 + b166*b524 + b166*
     b526 + b166*b539 + b166*b540 + b166*b552 + b166*b553 + b166*b564 + b166*
     b577 + b166*b588 + b166*b598 + b166*b608 + b166*b618 + b166*b620 + b167*
     b184 + b167*b204 + b167*b224 + b167*b246 + b167*b267 + b167*b289 + b167*
     b310 + b167*b332 + b167*b353 + b167*b375 + b167*b396 + b167*b418 + b167*
     b438 + b167*b458 + b167*b476 + b167*b494 + b167*b510 + b167*b525 + b167*
     b538 + b167*b551 + b167*b563 + b167*b565 + b167*b566 + b167*b578 + b168*
     b169 + b168*b170 + b168*b171 + b168*b172 + b168*b173 + b168*b174 + b168*
     b175 + b168*b176 + b168*b177 + b168*b178 + b168*b179 + b168*b180 + b168*
     b181 + b168*b182 + b168*b183 + b168*b184 + b168*b185 + b168*b206 + b168*
     b226 + b168*b248 + b168*b269 + b168*b291 + b168*b312 + b168*b334 + b168*
     b355 + b168*b377 + b168*b420 + b169*b170 + b169*b171 + b169*b172 + b169*
     b173 + b169*b174 + b169*b175 + b169*b176 + b169*b177 + b169*b178 + b169*
     b179 + b169*b180 + b169*b181 + b169*b182 + b169*b183 + b169*b184 + b169*
     b185 + b169*b188 + b169*b208 + b169*b229 + b169*b251 + b169*b272 + b169*
     b380 + b169*b401 + b169*b422 + b169*b442 + b169*b462 + b169*b480 + b169*
     b498 + b169*b514 + b169*b529 + b169*b543 + b169*b556 + b169*b570 + b169*
     b581 + b169*b591 + b169*b601 + b169*b611 + b169*b623 + b170*b171 + b170*
     b172 + b170*b173 + b170*b174 + b170*b175 + b170*b176 + b170*b177 + b170*
     b178 + b170*b179 + b170*b180 + b170*b181 + b170*b182 + b170*b183 + b170*
     b184 + b170*b185 + b170*b187 + b170*b207 + b170*b228 + b170*b250 + b170*
     b271 + b170*b293 + b170*b314 + b170*b336 + b170*b379 + b170*b400 + b170*
     b421 + b170*b441 + b170*b461 + b171*b172 + b171*b173 + b171*b174 + b171*
     b175 + b171*b176 + b171*b177 + b171*b178 + b171*b179 + b171*b180 + b171*
     b181 + b171*b182 + b171*b183 + b171*b184 + b171*b185 + b171*b190 + b171*
     b210 + b171*b231 + b171*b253 + b171*b274 + b171*b295 + b171*b316 + b171*
     b317 + b171*b360 + b171*b382 + b171*b403 + b171*b424 + b171*b444 + b171*
     b464 + b171*b482 + b171*b499 + b171*b515 + b171*b530 + b171*b544 + b171*
     b557 + b171*b571 + b171*b582 + b171*b592 + b171*b602 + b171*b612 + b172*
     b173 + b172*b174 + b172*b175 + b172*b176 + b172*b177 + b172*b178 + b172*
     b179 + b172*b180 + b172*b181 + b172*b182 + b172*b183 + b172*b184 + b172*
     b185 + b172*b189 + b172*b209 + b172*b230 + b172*b252 + b172*b273 + b172*
     b294 + b172*b315 + b172*b359 + b172*b381 + b172*b402 + b172*b423 + b172*
     b443 + b172*b463 + b172*b481 + b173*b174 + b173*b175 + b173*b176 + b173*
     b177 + b173*b178 + b173*b179 + b173*b180 + b173*b181 + b173*b182 + b173*
     b183 + b173*b184 + b173*b185 + b173*b192 + b173*b193 + b173*b212 + b173*
     b213 + b173*b233 + b173*b234 + b173*b255 + b173*b256 + b173*b276 + b173*
     b297 + b173*b298 + b173*b319 + b173*b320 + b173*b340 + b173*b341 + b173*
     b362 + b173*b363 + b173*b384 + b173*b385 + b173*b405 + b173*b406 + b173*
     b426 + b173*b427 + b173*b446 + b173*b447 + b173*b466 + b173*b484 + b173*
     b501 + b173*b517 + b173*b532 + b173*b545 + b173*b558 + b173*b572 + b173*
     b583 + b173*b593 + b173*b603 + b173*b613 + b173*b625 + b174*b175 + b174*
     b176 + b174*b177 + b174*b178 + b174*b179 + b174*b180 + b174*b181 + b174*
     b182 + b174*b183 + b174*b184 + b174*b185 + b174*b191 + b174*b211 + b174*
     b232 + b174*b254 + b174*b296 + b174*b318 + b174*b339 + b174*b361 + b174*
     b383 + b174*b404 + b174*b425 + b174*b445 + b174*b465 + b174*b483 + b174*
     b500 + b174*b516 + b174*b531 + b175*b176 + b175*b177 + b175*b178 + b175*
     b179 + b175*b180 + b175*b181 + b175*b182 + b175*b183 + b175*b184 + b175*
     b185 + b175*b195 + b175*b215 + b175*b236 + b175*b258 + b175*b279 + b175*
     b280 + b175*b300 + b175*b301 + b175*b322 + b175*b343 + b175*b344 + b175*
     b365 + b175*b366 + b175*b387 + b175*b408 + b175*b429 + b175*b449 + b175*
     b468 + b175*b486 + b175*b503 + b175*b518 + b175*b533 + b175*b546 + b175*
     b559 + b175*b584 + b175*b594 + b175*b604 + b175*b614 + b175*b626 + b176*
     b177 + b176*b178 + b176*b179 + b176*b180 + b176*b181 + b176*b182 + b176*
     b183 + b176*b184 + b176*b185 + b176*b194 + b176*b214 + b176*b235 + b176*
     b257 + b176*b278 + b176*b299 + b176*b342 + b176*b364 + b176*b386 + b176*
     b407 + b176*b428 + b176*b448 + b176*b467 + b176*b485 + b176*b502 + b177*
     b178 + b177*b179 + b177*b180 + b177*b181 + b177*b182 + b177*b183 + b177*
     b184 + b177*b185 + b177*b197 + b177*b217 + b177*b238 + b177*b239 + b177*
     b260 + b177*b261 + b177*b282 + b177*b283 + b177*b303 + b177*b325 + b177*
     b326 + b177*b346 + b177*b347 + b177*b368 + b177*b369 + b177*b389 + b177*
     b390 + b177*b410 + b177*b411 + b177*b431 + b177*b451 + b177*b470 + b177*
     b488 + b177*b505 + b177*b520 + b177*b534 + b177*b547 + b177*b560 + b177*
     b574 + b177*b595 + b177*b605 + b177*b615 + b177*b627 + b178*b179 + b178*
     b180 + b178*b181 + b178*b182 + b178*b183 + b178*b184 + b178*b185 + b178*
     b196 + b178*b216 + b178*b237 + b178*b259 + b178*b281 + b178*b324 + b178*
     b345 + b178*b367 + b178*b388 + b178*b409 + b178*b430 + b178*b450 + b178*
     b469 + b178*b487 + b178*b504 + b178*b519 + b179*b180 + b179*b181 + b179*
     b182 + b179*b183 + b179*b184 + b179*b185 + b179*b199 + b179*b200 + b179*
     b219 + b179*b220 + b179*b241 + b179*b242 + b179*b263 + b179*b285 + b179*
     b286 + b179*b306 + b179*b307 + b179*b328 + b179*b329 + b179*b349 + b179*
     b350 + b179*b371 + b179*b372 + b179*b392 + b179*b393 + b179*b413 + b179*
     b414 + b179*b433 + b179*b434 + b179*b453 + b179*b454 + b179*b472 + b179*
     b473 + b179*b490 + b179*b491 + b179*b507 + b179*b522 + b179*b536 + b179*
     b549 + b179*b561 + b179*b575 + b179*b586 + b179*b596 + b179*b606 + b179*
     b616 + b179*b619 + b180*b181 + b180*b182 + b180*b183 + b180*b184 + b180*
     b185 + b180*b198 + b180*b218 + b180*b240 + b180*b284 + b180*b305 + b180*
     b327 + b180*b348 + b180*b370 + b180*b391 + b180*b412 + b180*b432 + b180*
     b452 + b180*b471 + b180*b489 + b180*b506 + b180*b521 + b180*b535 + b180*
     b548 + b181*b182 + b181*b183 + b181*b184 + b181*b185 + b181*b198 + b181*
     b218 + b181*b240 + b181*b262 + b181*b284 + b181*b305 + b181*b327 + b181*
     b348 + b181*b370 + b181*b391 + b181*b412 + b181*b432 + b181*b452 + b181*
     b471 + b181*b489 + b181*b506 + b181*b521 + b181*b535 + b181*b548 + b182*
     b183 + b182*b184 + b182*b185 + b182*b201 + b182*b221 + b182*b243 + b182*
     b265 + b182*b287 + b182*b308 + b182*b330 + b182*b351 + b182*b373 + b182*
     b415 + b182*b435 + b182*b455 + b183*b184 + b183*b185 + b183*b204 + b183*
     b246 + b183*b267 + b183*b289 + b183*b310 + b183*b332 + b183*b353 + b183*
     b375 + b183*b396 + b183*b418 + b183*b438 + b183*b458 + b183*b476 + b183*
     b494 + b183*b510 + b183*b525 + b183*b538 + b183*b551 + b183*b563 + b183*
     b565 + b183*b566 + b183*b578 + b184*b185 + b184*b203 + b184*b205 + b184*
     b223 + b184*b245 + b184*b247 + b184*b266 + b184*b268 + b184*b288 + b184*
     b290 + b184*b309 + b184*b311 + b184*b331 + b184*b333 + b184*b352 + b184*
     b354 + b184*b374 + b184*b376 + b184*b395 + b184*b397 + b184*b417 + b184*
     b419 + b184*b437 + b184*b439 + b184*b457 + b184*b459 + b184*b475 + b184*
     b477 + b184*b493 + b184*b495 + b184*b509 + b184*b511 + b184*b524 + b184*
     b526 + b184*b539 + b184*b540 + b184*b552 + b184*b553 + b184*b564 + b184*
     b577 + b184*b588 + b184*b598 + b184*b608 + b184*b618 + b184*b620 + b185*
     b204 + b185*b224 + b185*b246 + b185*b267 + b185*b289 + b185*b310 + b185*
     b332 + b185*b353 + b185*b375 + b185*b396 + b185*b418 + b185*b438 + b185*
     b458 + b185*b476 + b185*b494 + b185*b510 + b185*b525 + b185*b538 + b185*
     b551 + b185*b563 + b185*b565 + b185*b566 + b185*b578 + b186*b187 + b186*
     b188 + b186*b189 + b186*b190 + b186*b191 + b186*b192 + b186*b193 + b186*
     b194 + b186*b195 + b186*b196 + b186*b197 + b186*b198 + b186*b199 + b186*
     b200 + b186*b201 + b186*b202 + b186*b203 + b186*b204 + b186*b205 + b186*
     b206 + b186*b226 + b186*b248 + b186*b269 + b186*b291 + b186*b312 + b186*
     b334 + b186*b355 + b186*b377 + b186*b398 + b187*b188 + b187*b189 + b187*
     b190 + b187*b191 + b187*b192 + b187*b193 + b187*b194 + b187*b195 + b187*
     b196 + b187*b197 + b187*b198 + b187*b199 + b187*b200 + b187*b201 + b187*
     b202 + b187*b203 + b187*b204 + b187*b205 + b187*b208 + b187*b229 + b187*
     b251 + b187*b272 + b187*b358 + b187*b401 + b187*b422 + b187*b442 + b187*
     b462 + b187*b480 + b187*b498 + b187*b514 + b187*b529 + b187*b543 + b187*
     b556 + b187*b570 + b187*b581 + b187*b591 + b187*b601 + b187*b611 + b188*
     b189 + b188*b190 + b188*b191 + b188*b192 + b188*b193 + b188*b194 + b188*
     b195 + b188*b196 + b188*b197 + b188*b198 + b188*b199 + b188*b200 + b188*
     b201 + b188*b202 + b188*b203 + b188*b204 + b188*b205 + b188*b207 + b188*
     b228 + b188*b250 + b188*b271 + b188*b293 + b188*b314 + b188*b336 + b188*
     b357 + b188*b400 + b188*b421 + b188*b441 + b188*b461 + b189*b190 + b189*
     b191 + b189*b192 + b189*b193 + b189*b194 + b189*b195 + b189*b196 + b189*
     b197 + b189*b198 + b189*b199 + b189*b200 + b189*b201 + b189*b202 + b189*
     b203 + b189*b204 + b189*b205 + b189*b210 + b189*b231 + b189*b253 + b189*
     b274 + b189*b295 + b189*b316 + b189*b317 + b189*b338 + b189*b382 + b189*
     b403 + b189*b424 + b189*b444 + b189*b464 + b189*b482 + b189*b499 + b189*
     b515 + b189*b530 + b189*b544 + b189*b557 + b189*b582 + b189*b592 + b189*
     b602 + b189*b612 + b189*b624 + b190*b191 + b190*b192 + b190*b193 + b190*
     b194 + b190*b195 + b190*b196 + b190*b197 + b190*b198 + b190*b199 + b190*
     b200 + b190*b201 + b190*b202 + b190*b203 + b190*b204 + b190*b205 + b190*
     b209 + b190*b230 + b190*b252 + b190*b273 + b190*b294 + b190*b315 + b190*
     b337 + b190*b381 + b190*b402 + b190*b423 + b190*b443 + b190*b463 + b190*
     b481 + b191*b192 + b191*b193 + b191*b194 + b191*b195 + b191*b196 + b191*
     b197 + b191*b198 + b191*b199 + b191*b200 + b191*b201 + b191*b202 + b191*
     b203 + b191*b204 + b191*b205 + b191*b212 + b191*b213 + b191*b233 + b191*
     b234 + b191*b255 + b191*b256 + b191*b276 + b191*b277 + b191*b297 + b191*
     b319 + b191*b320 + b191*b340 + b191*b341 + b191*b362 + b191*b363 + b191*
     b384 + b191*b385 + b191*b405 + b191*b406 + b191*b426 + b191*b427 + b191*
     b446 + b191*b447 + b191*b466 + b191*b484 + b191*b501 + b191*b517 + b191*
     b532 + b191*b545 + b191*b558 + b191*b572 + b191*b583 + b191*b593 + b191*
     b603 + b191*b613 + b191*b625 + b192*b193 + b192*b194 + b192*b195 + b192*
     b196 + b192*b197 + b192*b198 + b192*b199 + b192*b200 + b192*b201 + b192*
     b202 + b192*b203 + b192*b204 + b192*b205 + b192*b211 + b192*b232 + b192*
     b254 + b192*b275 + b192*b318 + b192*b339 + b192*b361 + b192*b383 + b192*
     b404 + b192*b425 + b192*b445 + b192*b465 + b192*b483 + b192*b500 + b192*
     b516 + b192*b531 + b193*b194 + b193*b195 + b193*b196 + b193*b197 + b193*
     b198 + b193*b199 + b193*b200 + b193*b201 + b193*b202 + b193*b203 + b193*
     b204 + b193*b205 + b193*b211 + b193*b232 + b193*b254 + b193*b275 + b193*
     b296 + b193*b318 + b193*b339 + b193*b361 + b193*b383 + b193*b404 + b193*
     b425 + b193*b445 + b193*b465 + b193*b483 + b193*b500 + b193*b516 + b193*
     b531 + b194*b195 + b194*b196 + b194*b197 + b194*b198 + b194*b199 + b194*
     b200 + b194*b201 + b194*b202 + b194*b203 + b194*b204 + b194*b205 + b194*
     b215 + b194*b236 + b194*b258 + b194*b279 + b194*b280 + b194*b300 + b194*
     b301 + b194*b322 + b194*b323 + b194*b343 + b194*b365 + b194*b366 + b194*
     b387 + b194*b408 + b194*b429 + b194*b449 + b194*b468 + b194*b486 + b194*
     b503 + b194*b518 + b194*b533 + b194*b546 + b194*b559 + b194*b573 + b194*
     b594 + b194*b604 + b194*b614 + b194*b626 + b195*b196 + b195*b197 + b195*
     b198 + b195*b199 + b195*b200 + b195*b201 + b195*b202 + b195*b203 + b195*
     b204 + b195*b205 + b195*b214 + b195*b235 + b195*b257 + b195*b278 + b195*
     b299 + b195*b321 + b195*b364 + b195*b386 + b195*b407 + b195*b428 + b195*
     b448 + b195*b467 + b195*b485 + b195*b502 + b196*b197 + b196*b198 + b196*
     b199 + b196*b200 + b196*b201 + b196*b202 + b196*b203 + b196*b204 + b196*
     b205 + b196*b217 + b196*b238 + b196*b239 + b196*b260 + b196*b261 + b196*
     b282 + b196*b283 + b196*b303 + b196*b304 + b196*b325 + b196*b346 + b196*
     b347 + b196*b368 + b196*b369 + b196*b389 + b196*b390 + b196*b410 + b196*
     b411 + b196*b431 + b196*b451 + b196*b470 + b196*b488 + b196*b505 + b196*
     b520 + b196*b534 + b196*b547 + b196*b560 + b196*b574 + b196*b585 + b196*
     b595 + b196*b605 + b196*b615 + b196*b627 + b197*b198 + b197*b199 + b197*
     b200 + b197*b201 + b197*b202 + b197*b203 + b197*b204 + b197*b205 + b197*
     b216 + b197*b237 + b197*b259 + b197*b281 + b197*b302 + b197*b345 + b197*
     b367 + b197*b388 + b197*b409 + b197*b430 + b197*b450 + b197*b469 + b197*
     b487 + b197*b504 + b197*b519 + b198*b199 + b198*b200 + b198*b201 + b198*
     b202 + b198*b203 + b198*b204 + b198*b205 + b198*b219 + b198*b220 + b198*
     b241 + b198*b242 + b198*b263 + b198*b264 + b198*b285 + b198*b306 + b198*
     b307 + b198*b328 + b198*b329 + b198*b349 + b198*b350 + b198*b371 + b198*
     b372 + b198*b392 + b198*b393 + b198*b413 + b198*b414 + b198*b433 + b198*
     b434 + b198*b453 + b198*b454 + b198*b472 + b198*b473 + b198*b490 + b198*
     b491 + b198*b507 + b198*b522 + b198*b536 + b198*b549 + b198*b561 + b198*
     b575 + b198*b586 + b198*b596 + b198*b606 + b198*b616 + b198*b619 + b199*
     b200 + b199*b201 + b199*b202 + b199*b203 + b199*b204 + b199*b205 + b199*
     b218 + b199*b240 + b199*b262 + b199*b305 + b199*b327 + b199*b348 + b199*
     b370 + b199*b391 + b199*b412 + b199*b432 + b199*b452 + b199*b471 + b199*
     b489 + b199*b506 + b199*b521 + b199*b535 + b199*b548 + b200*b201 + b200*
     b202 + b200*b203 + b200*b204 + b200*b205 + b200*b218 + b200*b240 + b200*
     b262 + b200*b284 + b200*b305 + b200*b327 + b200*b348 + b200*b370 + b200*
     b391 + b200*b412 + b200*b432 + b200*b452 + b200*b471 + b200*b489 + b200*
     b506 + b200*b521 + b200*b535 + b200*b548 + b201*b202 + b201*b203 + b201*
     b204 + b201*b205 + b201*b222 + b201*b244 + b201*b436 + b201*b456 + b201*
     b474 + b201*b492 + b201*b508 + b201*b523 + b201*b537 + b201*b550 + b201*
     b562 + b201*b576 + b201*b587 + b201*b597 + b201*b607 + b201*b617 + b201*
     b628 + b202*b203 + b202*b204 + b202*b205 + b202*b221 + b202*b243 + b202*
     b265 + b202*b287 + b202*b308 + b202*b330 + b202*b351 + b202*b373 + b202*
     b394 + b202*b435 + b202*b455 + b203*b204 + b203*b205 + b203*b224 + b203*
     b267 + b203*b289 + b203*b310 + b203*b332 + b203*b353 + b203*b375 + b203*
     b396 + b203*b418 + b203*b438 + b203*b458 + b203*b476 + b203*b494 + b203*
     b510 + b203*b525 + b203*b538 + b203*b551 + b203*b563 + b203*b565 + b203*
     b566 + b203*b578 + b204*b205 + b204*b223 + b204*b225 + b204*b245 + b204*
     b266 + b204*b268 + b204*b288 + b204*b290 + b204*b309 + b204*b311 + b204*
     b331 + b204*b333 + b204*b352 + b204*b354 + b204*b374 + b204*b376 + b204*
     b395 + b204*b397 + b204*b417 + b204*b419 + b204*b437 + b204*b439 + b204*
     b457 + b204*b459 + b204*b475 + b204*b477 + b204*b493 + b204*b495 + b204*
     b509 + b204*b511 + b204*b524 + b204*b526 + b204*b539 + b204*b540 + b204*
     b552 + b204*b553 + b204*b564 + b204*b577 + b204*b588 + b204*b598 + b204*
     b608 + b204*b618 + b204*b620 + b205*b224 + b205*b246 + b205*b267 + b205*
     b289 + b205*b310 + b205*b332 + b205*b353 + b205*b375 + b205*b396 + b205*
     b418 + b205*b438 + b205*b458 + b205*b476 + b205*b494 + b205*b510 + b205*
     b525 + b205*b538 + b205*b551 + b205*b563 + b205*b565 + b205*b566 + b205*
     b578 + b206*b207 + b206*b208 + b206*b209 + b206*b210 + b206*b211 + b206*
     b212 + b206*b213 + b206*b214 + b206*b215 + b206*b216 + b206*b217 + b206*
     b218 + b206*b219 + b206*b220 + b206*b221 + b206*b222 + b206*b223 + b206*
     b224 + b206*b225 + b206*b460 + b206*b478 + b206*b496 + b206*b512 + b206*
     b527 + b206*b541 + b206*b554 + b206*b568 + b206*b579 + b206*b589 + b206*
     b599 + b206*b609 + b206*b621 + b207*b208 + b207*b209 + b207*b210 + b207*
     b211 + b207*b212 + b207*b213 + b207*b214 + b207*b215 + b207*b216 + b207*
     b217 + b207*b218 + b207*b219 + b207*b220 + b207*b221 + b207*b222 + b207*
     b223 + b207*b224 + b207*b225 + b207*b229 + b207*b251 + b207*b272 + b207*
     b358 + b207*b380 + b207*b422 + b207*b442 + b207*b462 + b207*b480 + b207*
     b498 + b207*b514 + b207*b529 + b207*b543 + b207*b556 + b207*b581 + b207*
     b591 + b207*b601 + b207*b611 + b207*b623 + b208*b209 + b208*b210 + b208*
     b211 + b208*b212 + b208*b213 + b208*b214 + b208*b215 + b208*b216 + b208*
     b217 + b208*b218 + b208*b219 + b208*b220 + b208*b221 + b208*b222 + b208*
     b223 + b208*b224 + b208*b225 + b208*b228 + b208*b250 + b208*b271 + b208*
     b293 + b208*b314 + b208*b336 + b208*b357 + b208*b379 + b208*b421 + b208*
     b441 + b208*b461 + b209*b210 + b209*b211 + b209*b212 + b209*b213 + b209*
     b214 + b209*b215 + b209*b216 + b209*b217 + b209*b218 + b209*b219 + b209*
     b220 + b209*b221 + b209*b222 + b209*b223 + b209*b224 + b209*b225 + b209*
     b231 + b209*b253 + b209*b274 + b209*b295 + b209*b316 + b209*b317 + b209*
     b338 + b209*b360 + b209*b403 + b209*b424 + b209*b444 + b209*b464 + b209*
     b482 + b209*b499 + b209*b515 + b209*b530 + b209*b544 + b209*b557 + b209*
     b571 + b209*b592 + b209*b602 + b209*b612 + b209*b624 + b210*b211 + b210*
     b212 + b210*b213 + b210*b214 + b210*b215 + b210*b216 + b210*b217 + b210*
     b218 + b210*b219 + b210*b220 + b210*b221 + b210*b222 + b210*b223 + b210*
     b224 + b210*b225 + b210*b230 + b210*b252 + b210*b273 + b210*b294 + b210*
     b315 + b210*b337 + b210*b359 + b210*b402 + b210*b423 + b210*b443 + b210*
     b463 + b210*b481 + b211*b212 + b211*b213 + b211*b214 + b211*b215 + b211*
     b216 + b211*b217 + b211*b218 + b211*b219 + b211*b220 + b211*b221 + b211*
     b222 + b211*b223 + b211*b224 + b211*b225 + b211*b233 + b211*b234 + b211*
     b255 + b211*b256 + b211*b276 + b211*b277 + b211*b297 + b211*b298 + b211*
     b319 + b211*b340 + b211*b341 + b211*b362 + b211*b363 + b211*b384 + b211*
     b385 + b211*b405 + b211*b406 + b211*b426 + b211*b427 + b211*b446 + b211*
     b447 + b211*b466 + b211*b484 + b211*b501 + b211*b517 + b211*b532 + b211*
     b545 + b211*b558 + b211*b572 + b211*b583 + b211*b593 + b211*b603 + b211*
     b613 + b211*b625 + b212*b213 + b212*b214 + b212*b215 + b212*b216 + b212*
     b217 + b212*b218 + b212*b219 + b212*b220 + b212*b221 + b212*b222 + b212*
     b223 + b212*b224 + b212*b225 + b212*b232 + b212*b254 + b212*b275 + b212*
     b296 + b212*b339 + b212*b361 + b212*b383 + b212*b404 + b212*b425 + b212*
     b445 + b212*b465 + b212*b483 + b212*b500 + b212*b516 + b212*b531 + b213*
     b214 + b213*b215 + b213*b216 + b213*b217 + b213*b218 + b213*b219 + b213*
     b220 + b213*b221 + b213*b222 + b213*b223 + b213*b224 + b213*b225 + b213*
     b232 + b213*b254 + b213*b275 + b213*b296 + b213*b318 + b213*b339 + b213*
     b361 + b213*b383 + b213*b404 + b213*b425 + b213*b445 + b213*b465 + b213*
     b483 + b213*b500 + b213*b516 + b213*b531 + b214*b215 + b214*b216 + b214*
     b217 + b214*b218 + b214*b219 + b214*b220 + b214*b221 + b214*b222 + b214*
     b223 + b214*b224 + b214*b225 + b214*b236 + b214*b258 + b214*b279 + b214*
     b280 + b214*b300 + b214*b301 + b214*b322 + b214*b323 + b214*b343 + b214*
     b344 + b214*b365 + b214*b387 + b214*b408 + b214*b429 + b214*b449 + b214*
     b468 + b214*b486 + b214*b503 + b214*b518 + b214*b533 + b214*b546 + b214*
     b559 + b214*b573 + b214*b584 + b214*b594 + b214*b604 + b214*b614 + b214*
     b626 + b215*b216 + b215*b217 + b215*b218 + b215*b219 + b215*b220 + b215*
     b221 + b215*b222 + b215*b223 + b215*b224 + b215*b225 + b215*b235 + b215*
     b257 + b215*b278 + b215*b299 + b215*b321 + b215*b342 + b215*b386 + b215*
     b407 + b215*b428 + b215*b448 + b215*b467 + b215*b485 + b215*b502 + b216*
     b217 + b216*b218 + b216*b219 + b216*b220 + b216*b221 + b216*b222 + b216*
     b223 + b216*b224 + b216*b225 + b216*b238 + b216*b239 + b216*b260 + b216*
     b261 + b216*b282 + b216*b283 + b216*b303 + b216*b304 + b216*b325 + b216*
     b326 + b216*b346 + b216*b368 + b216*b369 + b216*b389 + b216*b390 + b216*
     b410 + b216*b411 + b216*b431 + b216*b451 + b216*b470 + b216*b488 + b216*
     b505 + b216*b520 + b216*b534 + b216*b547 + b216*b560 + b216*b574 + b216*
     b585 + b216*b595 + b216*b605 + b216*b615 + b216*b627 + b217*b218 + b217*
     b219 + b217*b220 + b217*b221 + b217*b222 + b217*b223 + b217*b224 + b217*
     b225 + b217*b237 + b217*b259 + b217*b281 + b217*b302 + b217*b324 + b217*
     b367 + b217*b388 + b217*b409 + b217*b430 + b217*b450 + b217*b469 + b217*
     b487 + b217*b504 + b217*b519 + b218*b219 + b218*b220 + b218*b221 + b218*
     b222 + b218*b223 + b218*b224 + b218*b225 + b218*b241 + b218*b242 + b218*
     b263 + b218*b264 + b218*b285 + b218*b286 + b218*b306 + b218*b328 + b218*
     b329 + b218*b349 + b218*b350 + b218*b371 + b218*b372 + b218*b392 + b218*
     b393 + b218*b413 + b218*b414 + b218*b433 + b218*b434 + b218*b453 + b218*
     b454 + b218*b472 + b218*b473 + b218*b490 + b218*b491 + b218*b507 + b218*
     b522 + b218*b536 + b218*b549 + b218*b561 + b218*b575 + b218*b586 + b218*
     b596 + b218*b606 + b218*b616 + b218*b619 + b219*b220 + b219*b221 + b219*
     b222 + b219*b223 + b219*b224 + b219*b225 + b219*b240 + b219*b262 + b219*
     b284 + b219*b327 + b219*b348 + b219*b370 + b219*b391 + b219*b412 + b219*
     b432 + b219*b452 + b219*b471 + b219*b489 + b219*b506 + b219*b521 + b219*
     b535 + b219*b548 + b220*b221 + b220*b222 + b220*b223 + b220*b224 + b220*
     b225 + b220*b240 + b220*b262 + b220*b284 + b220*b305 + b220*b327 + b220*
     b348 + b220*b370 + b220*b391 + b220*b412 + b220*b432 + b220*b452 + b220*
     b471 + b220*b489 + b220*b506 + b220*b521 + b220*b535 + b220*b548 + b221*
     b222 + b221*b223 + b221*b224 + b221*b225 + b221*b244 + b221*b416 + b221*
     b456 + b221*b474 + b221*b492 + b221*b508 + b221*b523 + b221*b537 + b221*
     b550 + b221*b562 + b221*b576 + b221*b587 + b221*b597 + b221*b607 + b221*
     b617 + b222*b223 + b222*b224 + b222*b225 + b222*b243 + b222*b265 + b222*
     b287 + b222*b308 + b222*b330 + b222*b351 + b222*b373 + b222*b394 + b222*
     b415 + b222*b455 + b223*b224 + b223*b225 + b223*b246 + b223*b289 + b223*
     b310 + b223*b332 + b223*b353 + b223*b375 + b223*b396 + b223*b418 + b223*
     b438 + b223*b458 + b223*b476 + b223*b494 + b223*b510 + b223*b525 + b223*
     b538 + b223*b551 + b223*b563 + b223*b565 + b223*b566 + b223*b578 + b224*
     b225 + b224*b245 + b224*b247 + b224*b266 + b224*b288 + b224*b290 + b224*
     b309 + b224*b311 + b224*b331 + b224*b333 + b224*b352 + b224*b354 + b224*
     b374 + b224*b376 + b224*b395 + b224*b397 + b224*b417 + b224*b419 + b224*
     b437 + b224*b439 + b224*b457 + b224*b459 + b224*b475 + b224*b477 + b224*
     b493 + b224*b495 + b224*b509 + b224*b511 + b224*b524 + b224*b526 + b224*
     b539 + b224*b540 + b224*b552 + b224*b553 + b224*b564 + b224*b577 + b224*
     b588 + b224*b598 + b224*b608 + b224*b618 + b224*b620 + b225*b246 + b225*
     b267 + b225*b289 + b225*b310 + b225*b332 + b225*b353 + b225*b375 + b225*
     b396 + b225*b418 + b225*b438 + b225*b458 + b225*b476 + b225*b494 + b225*
     b510 + b225*b525 + b225*b538 + b225*b551 + b225*b563 + b225*b565 + b225*
     b566 + b225*b578 + b226*b227 + b226*b228 + b226*b229 + b226*b230 + b226*
     b231 + b226*b232 + b226*b233 + b226*b234 + b226*b235 + b226*b236 + b226*
     b237 + b226*b238 + b226*b239 + b226*b240 + b226*b241 + b226*b242 + b226*
     b243 + b226*b244 + b226*b245 + b226*b246 + b226*b247 + b226*b440 + b226*
     b478 + b226*b496 + b226*b512 + b226*b527 + b226*b541 + b226*b554 + b226*
     b568 + b226*b579 + b226*b589 + b226*b599 + b226*b609 + b227*b228 + b227*
     b229 + b227*b230 + b227*b231 + b227*b232 + b227*b233 + b227*b234 + b227*
     b235 + b227*b236 + b227*b237 + b227*b238 + b227*b239 + b227*b240 + b227*
     b241 + b227*b242 + b227*b243 + b227*b244 + b227*b245 + b227*b246 + b227*
     b247 + b227*b497 + b227*b513 + b227*b528 + b227*b542 + b227*b555 + b227*
     b569 + b227*b580 + b227*b590 + b227*b600 + b227*b610 + b227*b622 + b228*
     b229 + b228*b230 + b228*b231 + b228*b232 + b228*b233 + b228*b234 + b228*
     b235 + b228*b236 + b228*b237 + b228*b238 + b228*b239 + b228*b240 + b228*
     b241 + b228*b242 + b228*b243 + b228*b244 + b228*b245 + b228*b246 + b228*
     b247 + b228*b251 + b228*b272 + b228*b358 + b228*b380 + b228*b401 + b228*
     b442 + b228*b462 + b228*b480 + b228*b498 + b228*b514 + b228*b529 + b228*
     b543 + b228*b556 + b228*b570 + b228*b591 + b228*b601 + b228*b611 + b228*
     b623 + b229*b230 + b229*b231 + b229*b232 + b229*b233 + b229*b234 + b229*
     b235 + b229*b236 + b229*b237 + b229*b238 + b229*b239 + b229*b240 + b229*
     b241 + b229*b242 + b229*b243 + b229*b244 + b229*b245 + b229*b246 + b229*
     b247 + b229*b250 + b229*b271 + b229*b293 + b229*b314 + b229*b336 + b229*
     b357 + b229*b379 + b229*b400 + b229*b441 + b229*b461 + b230*b231 + b230*
     b232 + b230*b233 + b230*b234 + b230*b235 + b230*b236 + b230*b237 + b230*
     b238 + b230*b239 + b230*b240 + b230*b241 + b230*b242 + b230*b243 + b230*
     b244 + b230*b245 + b230*b246 + b230*b247 + b230*b253 + b230*b274 + b230*
     b295 + b230*b316 + b230*b317 + b230*b338 + b230*b360 + b230*b382 + b230*
     b424 + b230*b444 + b230*b464 + b230*b482 + b230*b499 + b230*b515 + b230*
     b530 + b230*b544 + b230*b557 + b230*b571 + b230*b582 + b230*b592 + b230*
     b602 + b230*b612 + b230*b624 + b231*b232 + b231*b233 + b231*b234 + b231*
     b235 + b231*b236 + b231*b237 + b231*b238 + b231*b239 + b231*b240 + b231*
     b241 + b231*b242 + b231*b243 + b231*b244 + b231*b245 + b231*b246 + b231*
     b247 + b231*b252 + b231*b273 + b231*b294 + b231*b315 + b231*b337 + b231*
     b359 + b231*b381 + b231*b423 + b231*b443 + b231*b463 + b231*b481 + b232*
     b233 + b232*b234 + b232*b235 + b232*b236 + b232*b237 + b232*b238 + b232*
     b239 + b232*b240 + b232*b241 + b232*b242 + b232*b243 + b232*b244 + b232*
     b245 + b232*b246 + b232*b247 + b232*b255 + b232*b256 + b232*b276 + b232*
     b277 + b232*b297 + b232*b298 + b232*b319 + b232*b320 + b232*b340 + b232*
     b362 + b232*b363 + b232*b384 + b232*b385 + b232*b405 + b232*b406 + b232*
     b426 + b232*b427 + b232*b446 + b232*b447 + b232*b466 + b232*b484 + b232*
     b501 + b232*b517 + b232*b532 + b232*b545 + b232*b558 + b232*b572 + b232*
     b583 + b232*b593 + b232*b603 + b232*b613 + b232*b625 + b233*b234 + b233*
     b235 + b233*b236 + b233*b237 + b233*b238 + b233*b239 + b233*b240 + b233*
     b241 + b233*b242 + b233*b243 + b233*b244 + b233*b245 + b233*b246 + b233*
     b247 + b233*b254 + b233*b275 + b233*b296 + b233*b318 + b233*b361 + b233*
     b383 + b233*b404 + b233*b425 + b233*b445 + b233*b465 + b233*b483 + b233*
     b500 + b233*b516 + b233*b531 + b234*b235 + b234*b236 + b234*b237 + b234*
     b238 + b234*b239 + b234*b240 + b234*b241 + b234*b242 + b234*b243 + b234*
     b244 + b234*b245 + b234*b246 + b234*b247 + b234*b254 + b234*b275 + b234*
     b296 + b234*b318 + b234*b339 + b234*b361 + b234*b383 + b234*b404 + b234*
     b425 + b234*b445 + b234*b465 + b234*b483 + b234*b500 + b234*b516 + b234*
     b531 + b235*b236 + b235*b237 + b235*b238 + b235*b239 + b235*b240 + b235*
     b241 + b235*b242 + b235*b243 + b235*b244 + b235*b245 + b235*b246 + b235*
     b247 + b235*b258 + b235*b279 + b235*b280 + b235*b300 + b235*b301 + b235*
     b322 + b235*b323 + b235*b343 + b235*b344 + b235*b365 + b235*b366 + b235*
     b408 + b235*b429 + b235*b449 + b235*b468 + b235*b486 + b235*b503 + b235*
     b518 + b235*b533 + b235*b546 + b235*b559 + b235*b573 + b235*b584 + b235*
     b594 + b235*b604 + b235*b614 + b235*b626 + b236*b237 + b236*b238 + b236*
     b239 + b236*b240 + b236*b241 + b236*b242 + b236*b243 + b236*b244 + b236*
     b245 + b236*b246 + b236*b247 + b236*b257 + b236*b278 + b236*b299 + b236*
     b321 + b236*b342 + b236*b364 + b236*b407 + b236*b428 + b236*b448 + b236*
     b467 + b236*b485 + b236*b502 + b237*b238 + b237*b239 + b237*b240 + b237*
     b241 + b237*b242 + b237*b243 + b237*b244 + b237*b245 + b237*b246 + b237*
     b247 + b237*b260 + b237*b261 + b237*b282 + b237*b283 + b237*b303 + b237*
     b304 + b237*b325 + b237*b326 + b237*b346 + b237*b347 + b237*b368 + b237*
     b389 + b237*b390 + b237*b410 + b237*b411 + b237*b431 + b237*b451 + b237*
     b470 + b237*b488 + b237*b505 + b237*b520 + b237*b534 + b237*b547 + b237*
     b560 + b237*b574 + b237*b585 + b237*b595 + b237*b605 + b237*b615 + b237*
     b627 + b238*b239 + b238*b240 + b238*b241 + b238*b242 + b238*b243 + b238*
     b244 + b238*b245 + b238*b246 + b238*b247 + b238*b259 + b238*b281 + b238*
     b302 + b238*b324 + b238*b345 + b238*b388 + b238*b409 + b238*b430 + b238*
     b450 + b238*b469 + b238*b487 + b238*b504 + b238*b519 + b239*b240 + b239*
     b241 + b239*b242 + b239*b243 + b239*b244 + b239*b245 + b239*b246 + b239*
     b247 + b239*b259 + b239*b281 + b239*b302 + b239*b324 + b239*b345 + b239*
     b367 + b239*b388 + b239*b409 + b239*b430 + b239*b450 + b239*b469 + b239*
     b487 + b239*b504 + b239*b519 + b240*b241 + b240*b242 + b240*b243 + b240*
     b244 + b240*b245 + b240*b246 + b240*b247 + b240*b263 + b240*b264 + b240*
     b285 + b240*b286 + b240*b306 + b240*b307 + b240*b328 + b240*b349 + b240*
     b350 + b240*b371 + b240*b372 + b240*b392 + b240*b393 + b240*b413 + b240*
     b414 + b240*b433 + b240*b434 + b240*b453 + b240*b454 + b240*b472 + b240*
     b473 + b240*b490 + b240*b491 + b240*b507 + b240*b522 + b240*b536 + b240*
     b549 + b240*b561 + b240*b575 + b240*b586 + b240*b596 + b240*b606 + b240*
     b616 + b240*b619 + b241*b242 + b241*b243 + b241*b244 + b241*b245 + b241*
     b246 + b241*b247 + b241*b262 + b241*b284 + b241*b305 + b241*b348 + b241*
     b370 + b241*b391 + b241*b412 + b241*b432 + b241*b452 + b241*b471 + b241*
     b489 + b241*b506 + b241*b521 + b241*b535 + b241*b548 + b242*b243 + b242*
     b244 + b242*b245 + b242*b246 + b242*b247 + b242*b262 + b242*b284 + b242*
     b305 + b242*b327 + b242*b348 + b242*b370 + b242*b391 + b242*b412 + b242*
     b432 + b242*b452 + b242*b471 + b242*b489 + b242*b506 + b242*b521 + b242*
     b535 + b242*b548 + b243*b244 + b243*b245 + b243*b246 + b243*b247 + b243*
     b416 + b243*b436 + b243*b474 + b243*b492 + b243*b508 + b243*b523 + b243*
     b537 + b243*b550 + b243*b562 + b243*b587 + b243*b597 + b243*b607 + b243*
     b617 + b243*b628 + b244*b245 + b244*b246 + b244*b247 + b244*b265 + b244*
     b287 + b244*b308 + b244*b330 + b244*b351 + b244*b373 + b244*b394 + b244*
     b415 + b244*b435 + b245*b246 + b245*b247 + b245*b267 + b245*b310 + b245*
     b332 + b245*b353 + b245*b375 + b245*b396 + b245*b418 + b245*b438 + b245*
     b458 + b245*b476 + b245*b494 + b245*b510 + b245*b525 + b245*b538 + b245*
     b551 + b245*b563 + b245*b565 + b245*b566 + b245*b578 + b246*b247 + b246*
     b266 + b246*b268 + b246*b288 + b246*b309 + b246*b311 + b246*b331 + b246*
     b333 + b246*b352 + b246*b354 + b246*b374 + b246*b376 + b246*b395 + b246*
     b397 + b246*b417 + b246*b419 + b246*b437 + b246*b439 + b246*b457 + b246*
     b459 + b246*b475 + b246*b477 + b246*b493 + b246*b495 + b246*b509 + b246*
     b511 + b246*b524 + b246*b526 + b246*b539 + b246*b540 + b246*b552 + b246*
     b553 + b246*b564 + b246*b577 + b246*b588 + b246*b598 + b246*b608 + b246*
     b618 + b246*b620 + b247*b267 + b247*b289 + b247*b310 + b247*b332 + b247*
     b353 + b247*b375 + b247*b396 + b247*b418 + b247*b438 + b247*b458 + b247*
     b476 + b247*b494 + b247*b510 + b247*b525 + b247*b538 + b247*b551 + b247*
     b563 + b247*b565 + b247*b566 + b247*b578 + b248*b249 + b248*b250 + b248*
     b251 + b248*b252 + b248*b253 + b248*b254 + b248*b255 + b248*b256 + b248*
     b257 + b248*b258 + b248*b259 + b248*b260 + b248*b261 + b248*b262 + b248*
     b263 + b248*b264 + b248*b265 + b248*b266 + b248*b267 + b248*b268 + b248*
     b440 + b248*b460 + b248*b496 + b248*b512 + b248*b527 + b248*b541 + b248*
     b554 + b248*b579 + b248*b589 + b248*b599 + b248*b609 + b248*b621 + b249*
     b250 + b249*b251 + b249*b252 + b249*b253 + b249*b254 + b249*b255 + b249*
     b256 + b249*b257 + b249*b258 + b249*b259 + b249*b260 + b249*b261 + b249*
     b262 + b249*b263 + b249*b264 + b249*b265 + b249*b266 + b249*b267 + b249*
     b268 + b249*b479 + b249*b513 + b249*b528 + b249*b542 + b249*b555 + b249*
     b569 + b249*b580 + b249*b590 + b249*b600 + b249*b610 + b250*b251 + b250*
     b252 + b250*b253 + b250*b254 + b250*b255 + b250*b256 + b250*b257 + b250*
     b258 + b250*b259 + b250*b260 + b250*b261 + b250*b262 + b250*b263 + b250*
     b264 + b250*b265 + b250*b266 + b250*b267 + b250*b268 + b250*b272 + b250*
     b358 + b250*b380 + b250*b401 + b250*b422 + b250*b462 + b250*b480 + b250*
     b498 + b250*b514 + b250*b529 + b250*b543 + b250*b556 + b250*b570 + b250*
     b581 + b250*b591 + b250*b601 + b250*b611 + b250*b623 + b251*b252 + b251*
     b253 + b251*b254 + b251*b255 + b251*b256 + b251*b257 + b251*b258 + b251*
     b259 + b251*b260 + b251*b261 + b251*b262 + b251*b263 + b251*b264 + b251*
     b265 + b251*b266 + b251*b267 + b251*b268 + b251*b271 + b251*b293 + b251*
     b314 + b251*b336 + b251*b357 + b251*b379 + b251*b400 + b251*b421 + b251*
     b461 + b252*b253 + b252*b254 + b252*b255 + b252*b256 + b252*b257 + b252*
     b258 + b252*b259 + b252*b260 + b252*b261 + b252*b262 + b252*b263 + b252*
     b264 + b252*b265 + b252*b266 + b252*b267 + b252*b268 + b252*b274 + b252*
     b295 + b252*b316 + b252*b317 + b252*b338 + b252*b360 + b252*b382 + b252*
     b403 + b252*b444 + b252*b464 + b252*b482 + b252*b499 + b252*b515 + b252*
     b530 + b252*b544 + b252*b557 + b252*b571 + b252*b582 + b252*b592 + b252*
     b602 + b252*b612 + b252*b624 + b253*b254 + b253*b255 + b253*b256 + b253*
     b257 + b253*b258 + b253*b259 + b253*b260 + b253*b261 + b253*b262 + b253*
     b263 + b253*b264 + b253*b265 + b253*b266 + b253*b267 + b253*b268 + b253*
     b273 + b253*b294 + b253*b315 + b253*b337 + b253*b359 + b253*b381 + b253*
     b402 + b253*b443 + b253*b463 + b253*b481 + b254*b255 + b254*b256 + b254*
     b257 + b254*b258 + b254*b259 + b254*b260 + b254*b261 + b254*b262 + b254*
     b263 + b254*b264 + b254*b265 + b254*b266 + b254*b267 + b254*b268 + b254*
     b276 + b254*b277 + b254*b297 + b254*b298 + b254*b319 + b254*b320 + b254*
     b340 + b254*b341 + b254*b362 + b254*b384 + b254*b385 + b254*b405 + b254*
     b406 + b254*b426 + b254*b427 + b254*b446 + b254*b447 + b254*b466 + b254*
     b484 + b254*b501 + b254*b517 + b254*b532 + b254*b545 + b254*b558 + b254*
     b572 + b254*b583 + b254*b593 + b254*b603 + b254*b613 + b254*b625 + b255*
     b256 + b255*b257 + b255*b258 + b255*b259 + b255*b260 + b255*b261 + b255*
     b262 + b255*b263 + b255*b264 + b255*b265 + b255*b266 + b255*b267 + b255*
     b268 + b255*b275 + b255*b296 + b255*b318 + b255*b339 + b255*b383 + b255*
     b404 + b255*b425 + b255*b445 + b255*b465 + b255*b483 + b255*b500 + b255*
     b516 + b255*b531 + b256*b257 + b256*b258 + b256*b259 + b256*b260 + b256*
     b261 + b256*b262 + b256*b263 + b256*b264 + b256*b265 + b256*b266 + b256*
     b267 + b256*b268 + b256*b275 + b256*b296 + b256*b318 + b256*b339 + b256*
     b361 + b256*b383 + b256*b404 + b256*b425 + b256*b445 + b256*b465 + b256*
     b483 + b256*b500 + b256*b516 + b256*b531 + b257*b258 + b257*b259 + b257*
     b260 + b257*b261 + b257*b262 + b257*b263 + b257*b264 + b257*b265 + b257*
     b266 + b257*b267 + b257*b268 + b257*b279 + b257*b280 + b257*b300 + b257*
     b301 + b257*b322 + b257*b323 + b257*b343 + b257*b344 + b257*b365 + b257*
     b366 + b257*b387 + b257*b429 + b257*b449 + b257*b468 + b257*b486 + b257*
     b503 + b257*b518 + b257*b533 + b257*b546 + b257*b559 + b257*b573 + b257*
     b584 + b257*b594 + b257*b604 + b257*b614 + b257*b626 + b258*b259 + b258*
     b260 + b258*b261 + b258*b262 + b258*b263 + b258*b264 + b258*b265 + b258*
     b266 + b258*b267 + b258*b268 + b258*b278 + b258*b299 + b258*b321 + b258*
     b342 + b258*b364 + b258*b386 + b258*b428 + b258*b448 + b258*b467 + b258*
     b485 + b258*b502 + b259*b260 + b259*b261 + b259*b262 + b259*b263 + b259*
     b264 + b259*b265 + b259*b266 + b259*b267 + b259*b268 + b259*b282 + b259*
     b283 + b259*b303 + b259*b304 + b259*b325 + b259*b326 + b259*b346 + b259*
     b347 + b259*b368 + b259*b369 + b259*b389 + b259*b410 + b259*b411 + b259*
     b431 + b259*b451 + b259*b470 + b259*b488 + b259*b505 + b259*b520 + b259*
     b534 + b259*b547 + b259*b560 + b259*b574 + b259*b585 + b259*b595 + b259*
     b605 + b259*b615 + b259*b627 + b260*b261 + b260*b262 + b260*b263 + b260*
     b264 + b260*b265 + b260*b266 + b260*b267 + b260*b268 + b260*b281 + b260*
     b302 + b260*b324 + b260*b345 + b260*b367 + b260*b409 + b260*b430 + b260*
     b450 + b260*b469 + b260*b487 + b260*b504 + b260*b519 + b261*b262 + b261*
     b263 + b261*b264 + b261*b265 + b261*b266 + b261*b267 + b261*b268 + b261*
     b281 + b261*b302 + b261*b324 + b261*b345 + b261*b367 + b261*b388 + b261*
     b409 + b261*b430 + b261*b450 + b261*b469 + b261*b487 + b261*b504 + b261*
     b519 + b262*b263 + b262*b264 + b262*b265 + b262*b266 + b262*b267 + b262*
     b268 + b262*b285 + b262*b286 + b262*b306 + b262*b307 + b262*b328 + b262*
     b329 + b262*b349 + b262*b371 + b262*b372 + b262*b392 + b262*b393 + b262*
     b413 + b262*b414 + b262*b433 + b262*b434 + b262*b453 + b262*b454 + b262*
     b472 + b262*b473 + b262*b490 + b262*b491 + b262*b507 + b262*b522 + b262*
     b536 + b262*b549 + b262*b561 + b262*b575 + b262*b586 + b262*b596 + b262*
     b606 + b262*b616 + b262*b619 + b263*b264 + b263*b265 + b263*b266 + b263*
     b267 + b263*b268 + b263*b284 + b263*b305 + b263*b327 + b263*b370 + b263*
     b391 + b263*b412 + b263*b432 + b263*b452 + b263*b471 + b263*b489 + b263*
     b506 + b263*b521 + b263*b535 + b263*b548 + b264*b265 + b264*b266 + b264*
     b267 + b264*b268 + b264*b284 + b264*b305 + b264*b327 + b264*b348 + b264*
     b370 + b264*b391 + b264*b412 + b264*b432 + b264*b452 + b264*b471 + b264*
     b489 + b264*b506 + b264*b521 + b264*b535 + b264*b548 + b265*b266 + b265*
     b267 + b265*b268 + b265*b416 + b265*b436 + b265*b456 + b265*b492 + b265*
     b508 + b265*b523 + b265*b537 + b265*b550 + b265*b562 + b265*b576 + b265*
     b597 + b265*b607 + b265*b617 + b265*b628 + b266*b267 + b266*b268 + b266*
     b289 + b266*b332 + b266*b353 + b266*b375 + b266*b396 + b266*b418 + b266*
     b438 + b266*b458 + b266*b476 + b266*b494 + b266*b510 + b266*b525 + b266*
     b538 + b266*b551 + b266*b563 + b266*b565 + b266*b566 + b266*b578 + b267*
     b268 + b267*b288 + b267*b290 + b267*b309 + b267*b331 + b267*b333 + b267*
     b352 + b267*b354 + b267*b374 + b267*b376 + b267*b395 + b267*b397 + b267*
     b417 + b267*b419 + b267*b437 + b267*b439 + b267*b457 + b267*b459 + b267*
     b475 + b267*b477 + b267*b493 + b267*b495 + b267*b509 + b267*b511 + b267*
     b524 + b267*b526 + b267*b539 + b267*b540 + b267*b552 + b267*b553 + b267*
     b564 + b267*b577 + b267*b588 + b267*b598 + b267*b608 + b267*b618 + b267*
     b620 + b268*b289 + b268*b310 + b268*b332 + b268*b353 + b268*b375 + b268*
     b396 + b268*b418 + b268*b438 + b268*b458 + b268*b476 + b268*b494 + b268*
     b510 + b268*b525 + b268*b538 + b268*b551 + b268*b563 + b268*b565 + b268*
     b566 + b268*b578 + b269*b270 + b269*b271 + b269*b272 + b269*b273 + b269*
     b274 + b269*b275 + b269*b276 + b269*b277 + b269*b278 + b269*b279 + b269*
     b280 + b269*b281 + b269*b282 + b269*b283 + b269*b284 + b269*b285 + b269*
     b286 + b269*b287 + b269*b288 + b269*b289 + b269*b290 + b269*b440 + b269*
     b460 + b269*b478 + b269*b512 + b269*b527 + b269*b541 + b269*b554 + b269*
     b568 + b269*b589 + b269*b599 + b269*b609 + b269*b621 + b270*b271 + b270*
     b272 + b270*b273 + b270*b274 + b270*b275 + b270*b276 + b270*b277 + b270*
     b278 + b270*b279 + b270*b280 + b270*b281 + b270*b282 + b270*b283 + b270*
     b284 + b270*b285 + b270*b286 + b270*b287 + b270*b288 + b270*b289 + b270*
     b290 + b270*b479 + b270*b497 + b270*b528 + b270*b542 + b270*b555 + b270*
     b580 + b270*b590 + b270*b600 + b270*b610 + b270*b622 + b271*b272 + b271*
     b273 + b271*b274 + b271*b275 + b271*b276 + b271*b277 + b271*b278 + b271*
     b279 + b271*b280 + b271*b281 + b271*b282 + b271*b283 + b271*b284 + b271*
     b285 + b271*b286 + b271*b287 + b271*b288 + b271*b289 + b271*b290 + b271*
     b358 + b271*b380 + b271*b401 + b271*b422 + b271*b442 + b271*b480 + b271*
     b498 + b271*b514 + b271*b529 + b271*b543 + b271*b556 + b271*b570 + b271*
     b581 + b271*b591 + b271*b601 + b271*b611 + b271*b623 + b272*b273 + b272*
     b274 + b272*b275 + b272*b276 + b272*b277 + b272*b278 + b272*b279 + b272*
     b280 + b272*b281 + b272*b282 + b272*b283 + b272*b284 + b272*b285 + b272*
     b286 + b272*b287 + b272*b288 + b272*b289 + b272*b290 + b272*b293 + b272*
     b314 + b272*b336 + b272*b357 + b272*b379 + b272*b400 + b272*b421 + b272*
     b441 + b273*b274 + b273*b275 + b273*b276 + b273*b277 + b273*b278 + b273*
     b279 + b273*b280 + b273*b281 + b273*b282 + b273*b283 + b273*b284 + b273*
     b285 + b273*b286 + b273*b287 + b273*b288 + b273*b289 + b273*b290 + b273*
     b295 + b273*b316 + b273*b317 + b273*b338 + b273*b360 + b273*b382 + b273*
     b403 + b273*b424 + b273*b464 + b273*b482 + b273*b499 + b273*b515 + b273*
     b530 + b273*b544 + b273*b557 + b273*b571 + b273*b582 + b273*b592 + b273*
     b602 + b273*b612 + b273*b624 + b274*b275 + b274*b276 + b274*b277 + b274*
     b278 + b274*b279 + b274*b280 + b274*b281 + b274*b282 + b274*b283 + b274*
     b284 + b274*b285 + b274*b286 + b274*b287 + b274*b288 + b274*b289 + b274*
     b290 + b274*b294 + b274*b315 + b274*b337 + b274*b359 + b274*b381 + b274*
     b402 + b274*b423 + b274*b463 + b274*b481 + b275*b276 + b275*b277 + b275*
     b278 + b275*b279 + b275*b280 + b275*b281 + b275*b282 + b275*b283 + b275*
     b284 + b275*b285 + b275*b286 + b275*b287 + b275*b288 + b275*b289 + b275*
     b290 + b275*b297 + b275*b298 + b275*b319 + b275*b320 + b275*b340 + b275*
     b341 + b275*b362 + b275*b363 + b275*b384 + b275*b405 + b275*b406 + b275*
     b426 + b275*b427 + b275*b446 + b275*b447 + b275*b466 + b275*b484 + b275*
     b501 + b275*b517 + b275*b532 + b275*b545 + b275*b558 + b275*b572 + b275*
     b583 + b275*b593 + b275*b603 + b275*b613 + b275*b625 + b276*b277 + b276*
     b278 + b276*b279 + b276*b280 + b276*b281 + b276*b282 + b276*b283 + b276*
     b284 + b276*b285 + b276*b286 + b276*b287 + b276*b288 + b276*b289 + b276*
     b290 + b276*b296 + b276*b318 + b276*b339 + b276*b361 + b276*b404 + b276*
     b425 + b276*b445 + b276*b465 + b276*b483 + b276*b500 + b276*b516 + b276*
     b531 + b277*b278 + b277*b279 + b277*b280 + b277*b281 + b277*b282 + b277*
     b283 + b277*b284 + b277*b285 + b277*b286 + b277*b287 + b277*b288 + b277*
     b289 + b277*b290 + b277*b296 + b277*b318 + b277*b339 + b277*b361 + b277*
     b383 + b277*b404 + b277*b425 + b277*b445 + b277*b465 + b277*b483 + b277*
     b500 + b277*b516 + b277*b531 + b278*b279 + b278*b280 + b278*b281 + b278*
     b282 + b278*b283 + b278*b284 + b278*b285 + b278*b286 + b278*b287 + b278*
     b288 + b278*b289 + b278*b290 + b278*b300 + b278*b301 + b278*b322 + b278*
     b323 + b278*b343 + b278*b344 + b278*b365 + b278*b366 + b278*b387 + b278*
     b408 + b278*b449 + b278*b468 + b278*b486 + b278*b503 + b278*b518 + b278*
     b533 + b278*b546 + b278*b559 + b278*b573 + b278*b584 + b278*b594 + b278*
     b604 + b278*b614 + b278*b626 + b279*b280 + b279*b281 + b279*b282 + b279*
     b283 + b279*b284 + b279*b285 + b279*b286 + b279*b287 + b279*b288 + b279*
     b289 + b279*b290 + b279*b299 + b279*b321 + b279*b342 + b279*b364 + b279*
     b386 + b279*b407 + b279*b448 + b279*b467 + b279*b485 + b279*b502 + b280*
     b281 + b280*b282 + b280*b283 + b280*b284 + b280*b285 + b280*b286 + b280*
     b287 + b280*b288 + b280*b289 + b280*b290 + b280*b299 + b280*b321 + b280*
     b342 + b280*b364 + b280*b386 + b280*b407 + b280*b428 + b280*b448 + b280*
     b467 + b280*b485 + b280*b502 + b281*b282 + b281*b283 + b281*b284 + b281*
     b285 + b281*b286 + b281*b287 + b281*b288 + b281*b289 + b281*b290 + b281*
     b303 + b281*b304 + b281*b325 + b281*b326 + b281*b346 + b281*b347 + b281*
     b368 + b281*b369 + b281*b389 + b281*b390 + b281*b410 + b281*b431 + b281*
     b451 + b281*b470 + b281*b488 + b281*b505 + b281*b520 + b281*b534 + b281*
     b547 + b281*b560 + b281*b574 + b281*b585 + b281*b595 + b281*b605 + b281*
     b615 + b281*b627 + b282*b283 + b282*b284 + b282*b285 + b282*b286 + b282*
     b287 + b282*b288 + b282*b289 + b282*b290 + b282*b302 + b282*b324 + b282*
     b345 + b282*b367 + b282*b388 + b282*b430 + b282*b450 + b282*b469 + b282*
     b487 + b282*b504 + b282*b519 + b283*b284 + b283*b285 + b283*b286 + b283*
     b287 + b283*b288 + b283*b289 + b283*b290 + b283*b302 + b283*b324 + b283*
     b345 + b283*b367 + b283*b388 + b283*b409 + b283*b430 + b283*b450 + b283*
     b469 + b283*b487 + b283*b504 + b283*b519 + b284*b285 + b284*b286 + b284*
     b287 + b284*b288 + b284*b289 + b284*b290 + b284*b306 + b284*b307 + b284*
     b328 + b284*b329 + b284*b349 + b284*b350 + b284*b371 + b284*b392 + b284*
     b393 + b284*b413 + b284*b414 + b284*b433 + b284*b434 + b284*b453 + b284*
     b454 + b284*b472 + b284*b473 + b284*b490 + b284*b491 + b284*b507 + b284*
     b522 + b284*b536 + b284*b549 + b284*b561 + b284*b575 + b284*b586 + b284*
     b596 + b284*b606 + b284*b616 + b284*b619 + b285*b286 + b285*b287 + b285*
     b288 + b285*b289 + b285*b290 + b285*b305 + b285*b327 + b285*b348 + b285*
     b391 + b285*b412 + b285*b432 + b285*b452 + b285*b471 + b285*b489 + b285*
     b506 + b285*b521 + b285*b535 + b285*b548 + b286*b287 + b286*b288 + b286*
     b289 + b286*b290 + b286*b305 + b286*b327 + b286*b348 + b286*b370 + b286*
     b391 + b286*b412 + b286*b432 + b286*b452 + b286*b471 + b286*b489 + b286*
     b506 + b286*b521 + b286*b535 + b286*b548 + b287*b288 + b287*b289 + b287*
     b290 + b287*b416 + b287*b436 + b287*b456 + b287*b474 + b287*b508 + b287*
     b523 + b287*b537 + b287*b550 + b287*b562 + b287*b576 + b287*b587 + b287*
     b597 + b287*b607 + b287*b617 + b287*b628 + b288*b289 + b288*b290 + b288*
     b310 + b288*b353 + b288*b375 + b288*b396 + b288*b418 + b288*b438 + b288*
     b458 + b288*b476 + b288*b494 + b288*b510 + b288*b525 + b288*b538 + b288*
     b551 + b288*b563 + b288*b565 + b288*b566 + b288*b578 + b289*b290 + b289*
     b309 + b289*b311 + b289*b331 + b289*b352 + b289*b354 + b289*b374 + b289*
     b376 + b289*b395 + b289*b397 + b289*b417 + b289*b419 + b289*b437 + b289*
     b439 + b289*b457 + b289*b459 + b289*b475 + b289*b477 + b289*b493 + b289*
     b495 + b289*b509 + b289*b511 + b289*b524 + b289*b526 + b289*b539 + b289*
     b540 + b289*b552 + b289*b553 + b289*b564 + b289*b577 + b289*b588 + b289*
     b598 + b289*b608 + b289*b618 + b289*b620 + b290*b310 + b290*b332 + b290*
     b353 + b290*b375 + b290*b396 + b290*b418 + b290*b438 + b290*b458 + b290*
     b476 + b290*b494 + b290*b510 + b290*b525 + b290*b538 + b290*b551 + b290*
     b563 + b290*b565 + b290*b566 + b290*b578 + b291*b292 + b291*b293 + b291*
     b294 + b291*b295 + b291*b296 + b291*b297 + b291*b298 + b291*b299 + b291*
     b300 + b291*b301 + b291*b302 + b291*b303 + b291*b304 + b291*b305 + b291*
     b306 + b291*b307 + b291*b308 + b291*b309 + b291*b310 + b291*b311 + b291*
     b440 + b291*b460 + b291*b478 + b291*b496 + b291*b527 + b291*b541 + b291*
     b554 + b291*b568 + b291*b579 + b291*b589 + b291*b599 + b291*b609 + b291*
     b621 + b292*b293 + b292*b294 + b292*b295 + b292*b296 + b292*b297 + b292*
     b298 + b292*b299 + b292*b300 + b292*b301 + b292*b302 + b292*b303 + b292*
     b304 + b292*b305 + b292*b306 + b292*b307 + b292*b308 + b292*b309 + b292*
     b310 + b292*b311 + b292*b479 + b292*b497 + b292*b513 + b292*b542 + b292*
     b555 + b292*b569 + b292*b590 + b292*b600 + b292*b610 + b292*b622 + b293*
     b294 + b293*b295 + b293*b296 + b293*b297 + b293*b298 + b293*b299 + b293*
     b300 + b293*b301 + b293*b302 + b293*b303 + b293*b304 + b293*b305 + b293*
     b306 + b293*b307 + b293*b308 + b293*b309 + b293*b310 + b293*b311 + b293*
     b358 + b293*b380 + b293*b401 + b293*b422 + b293*b442 + b293*b462 + b293*
     b498 + b293*b514 + b293*b529 + b293*b543 + b293*b556 + b293*b570 + b293*
     b581 + b293*b591 + b293*b601 + b293*b611 + b293*b623 + b294*b295 + b294*
     b296 + b294*b297 + b294*b298 + b294*b299 + b294*b300 + b294*b301 + b294*
     b302 + b294*b303 + b294*b304 + b294*b305 + b294*b306 + b294*b307 + b294*
     b308 + b294*b309 + b294*b310 + b294*b311 + b294*b316 + b294*b317 + b294*
     b338 + b294*b360 + b294*b382 + b294*b403 + b294*b424 + b294*b444 + b294*
     b482 + b294*b499 + b294*b515 + b294*b530 + b294*b544 + b294*b557 + b294*
     b571 + b294*b582 + b294*b592 + b294*b602 + b294*b612 + b294*b624 + b295*
     b296 + b295*b297 + b295*b298 + b295*b299 + b295*b300 + b295*b301 + b295*
     b302 + b295*b303 + b295*b304 + b295*b305 + b295*b306 + b295*b307 + b295*
     b308 + b295*b309 + b295*b310 + b295*b311 + b295*b315 + b295*b337 + b295*
     b359 + b295*b381 + b295*b402 + b295*b423 + b295*b443 + b295*b481 + b296*
     b297 + b296*b298 + b296*b299 + b296*b300 + b296*b301 + b296*b302 + b296*
     b303 + b296*b304 + b296*b305 + b296*b306 + b296*b307 + b296*b308 + b296*
     b309 + b296*b310 + b296*b311 + b296*b319 + b296*b320 + b296*b340 + b296*
     b341 + b296*b362 + b296*b363 + b296*b384 + b296*b385 + b296*b405 + b296*
     b426 + b296*b427 + b296*b446 + b296*b447 + b296*b466 + b296*b484 + b296*
     b501 + b296*b517 + b296*b532 + b296*b545 + b296*b558 + b296*b572 + b296*
     b583 + b296*b593 + b296*b603 + b296*b613 + b296*b625 + b297*b298 + b297*
     b299 + b297*b300 + b297*b301 + b297*b302 + b297*b303 + b297*b304 + b297*
     b305 + b297*b306 + b297*b307 + b297*b308 + b297*b309 + b297*b310 + b297*
     b311 + b297*b318 + b297*b339 + b297*b361 + b297*b383 + b297*b425 + b297*
     b445 + b297*b465 + b297*b483 + b297*b500 + b297*b516 + b297*b531 + b298*
     b299 + b298*b300 + b298*b301 + b298*b302 + b298*b303 + b298*b304 + b298*
     b305 + b298*b306 + b298*b307 + b298*b308 + b298*b309 + b298*b310 + b298*
     b311 + b298*b318 + b298*b339 + b298*b361 + b298*b383 + b298*b404 + b298*
     b425 + b298*b445 + b298*b465 + b298*b483 + b298*b500 + b298*b516 + b298*
     b531 + b299*b300 + b299*b301 + b299*b302 + b299*b303 + b299*b304 + b299*
     b305 + b299*b306 + b299*b307 + b299*b308 + b299*b309 + b299*b310 + b299*
     b311 + b299*b322 + b299*b323 + b299*b343 + b299*b344 + b299*b365 + b299*
     b366 + b299*b387 + b299*b408 + b299*b429 + b299*b468 + b299*b486 + b299*
     b503 + b299*b518 + b299*b533 + b299*b546 + b299*b559 + b299*b573 + b299*
     b584 + b299*b594 + b299*b604 + b299*b614 + b299*b626 + b300*b301 + b300*
     b302 + b300*b303 + b300*b304 + b300*b305 + b300*b306 + b300*b307 + b300*
     b308 + b300*b309 + b300*b310 + b300*b311 + b300*b321 + b300*b342 + b300*
     b364 + b300*b386 + b300*b407 + b300*b428 + b300*b467 + b300*b485 + b300*
     b502 + b301*b302 + b301*b303 + b301*b304 + b301*b305 + b301*b306 + b301*
     b307 + b301*b308 + b301*b309 + b301*b310 + b301*b311 + b301*b321 + b301*
     b342 + b301*b364 + b301*b386 + b301*b407 + b301*b428 + b301*b448 + b301*
     b467 + b301*b485 + b301*b502 + b302*b303 + b302*b304 + b302*b305 + b302*
     b306 + b302*b307 + b302*b308 + b302*b309 + b302*b310 + b302*b311 + b302*
     b325 + b302*b326 + b302*b346 + b302*b347 + b302*b368 + b302*b369 + b302*
     b389 + b302*b390 + b302*b410 + b302*b411 + b302*b451 + b302*b470 + b302*
     b488 + b302*b505 + b302*b520 + b302*b534 + b302*b547 + b302*b560 + b302*
     b574 + b302*b585 + b302*b595 + b302*b605 + b302*b615 + b302*b627 + b303*
     b304 + b303*b305 + b303*b306 + b303*b307 + b303*b308 + b303*b309 + b303*
     b310 + b303*b311 + b303*b324 + b303*b345 + b303*b367 + b303*b388 + b303*
     b409 + b303*b450 + b303*b469 + b303*b487 + b303*b504 + b303*b519 + b304*
     b305 + b304*b306 + b304*b307 + b304*b308 + b304*b309 + b304*b310 + b304*
     b311 + b304*b324 + b304*b345 + b304*b367 + b304*b388 + b304*b409 + b304*
     b430 + b304*b450 + b304*b469 + b304*b487 + b304*b504 + b304*b519 + b305*
     b306 + b305*b307 + b305*b308 + b305*b309 + b305*b310 + b305*b311 + b305*
     b328 + b305*b329 + b305*b349 + b305*b350 + b305*b371 + b305*b372 + b305*
     b392 + b305*b413 + b305*b414 + b305*b433 + b305*b434 + b305*b453 + b305*
     b454 + b305*b472 + b305*b473 + b305*b490 + b305*b491 + b305*b507 + b305*
     b522 + b305*b536 + b305*b549 + b305*b561 + b305*b575 + b305*b586 + b305*
     b596 + b305*b606 + b305*b616 + b305*b619 + b306*b307 + b306*b308 + b306*
     b309 + b306*b310 + b306*b311 + b306*b327 + b306*b348 + b306*b370 + b306*
     b412 + b306*b432 + b306*b452 + b306*b471 + b306*b489 + b306*b506 + b306*
     b521 + b306*b535 + b306*b548 + b307*b308 + b307*b309 + b307*b310 + b307*
     b311 + b307*b327 + b307*b348 + b307*b370 + b307*b391 + b307*b412 + b307*
     b432 + b307*b452 + b307*b471 + b307*b489 + b307*b506 + b307*b521 + b307*
     b535 + b307*b548 + b308*b309 + b308*b310 + b308*b311 + b308*b416 + b308*
     b436 + b308*b456 + b308*b474 + b308*b492 + b308*b523 + b308*b537 + b308*
     b550 + b308*b562 + b308*b576 + b308*b587 + b308*b597 + b308*b607 + b308*
     b617 + b308*b628 + b309*b310 + b309*b311 + b309*b332 + b309*b375 + b309*
     b396 + b309*b418 + b309*b438 + b309*b458 + b309*b476 + b309*b494 + b309*
     b510 + b309*b525 + b309*b538 + b309*b551 + b309*b563 + b309*b565 + b309*
     b566 + b309*b578 + b310*b311 + b310*b331 + b310*b333 + b310*b352 + b310*
     b374 + b310*b376 + b310*b395 + b310*b397 + b310*b417 + b310*b419 + b310*
     b437 + b310*b439 + b310*b457 + b310*b459 + b310*b475 + b310*b477 + b310*
     b493 + b310*b495 + b310*b509 + b310*b511 + b310*b524 + b310*b526 + b310*
     b539 + b310*b540 + b310*b552 + b310*b553 + b310*b564 + b310*b577 + b310*
     b588 + b310*b598 + b310*b608 + b310*b618 + b310*b620 + b311*b332 + b311*
     b353 + b311*b375 + b311*b396 + b311*b418 + b311*b438 + b311*b458 + b311*
     b476 + b311*b494 + b311*b510 + b311*b525 + b311*b538 + b311*b551 + b311*
     b563 + b311*b565 + b311*b566 + b311*b578 + b312*b313 + b312*b314 + b312*
     b315 + b312*b316 + b312*b317 + b312*b318 + b312*b319 + b312*b320 + b312*
     b321 + b312*b322 + b312*b323 + b312*b324 + b312*b325 + b312*b326 + b312*
     b327 + b312*b328 + b312*b329 + b312*b330 + b312*b331 + b312*b332 + b312*
     b333 + b312*b440 + b312*b460 + b312*b478 + b312*b496 + b312*b512 + b312*
     b541 + b312*b554 + b312*b568 + b312*b579 + b312*b589 + b312*b599 + b312*
     b609 + b312*b621 + b313*b314 + b313*b315 + b313*b316 + b313*b317 + b313*
     b318 + b313*b319 + b313*b320 + b313*b321 + b313*b322 + b313*b323 + b313*
     b324 + b313*b325 + b313*b326 + b313*b327 + b313*b328 + b313*b329 + b313*
     b330 + b313*b331 + b313*b332 + b313*b333 + b313*b479 + b313*b497 + b313*
     b513 + b313*b528 + b313*b555 + b313*b569 + b313*b580 + b313*b590 + b313*
     b600 + b313*b610 + b313*b622 + b314*b315 + b314*b316 + b314*b317 + b314*
     b318 + b314*b319 + b314*b320 + b314*b321 + b314*b322 + b314*b323 + b314*
     b324 + b314*b325 + b314*b326 + b314*b327 + b314*b328 + b314*b329 + b314*
     b330 + b314*b331 + b314*b332 + b314*b333 + b314*b358 + b314*b380 + b314*
     b401 + b314*b422 + b314*b442 + b314*b462 + b314*b480 + b314*b514 + b314*
     b529 + b314*b543 + b314*b556 + b314*b570 + b314*b581 + b314*b591 + b314*
     b601 + b314*b611 + b314*b623 + b315*b316 + b315*b317 + b315*b318 + b315*
     b319 + b315*b320 + b315*b321 + b315*b322 + b315*b323 + b315*b324 + b315*
     b325 + b315*b326 + b315*b327 + b315*b328 + b315*b329 + b315*b330 + b315*
     b331 + b315*b332 + b315*b333 + b315*b338 + b315*b360 + b315*b382 + b315*
     b403 + b315*b424 + b315*b444 + b315*b464 + b315*b499 + b315*b515 + b315*
     b530 + b315*b544 + b315*b557 + b315*b571 + b315*b582 + b315*b592 + b315*
     b602 + b315*b612 + b315*b624 + b316*b317 + b316*b318 + b316*b319 + b316*
     b320 + b316*b321 + b316*b322 + b316*b323 + b316*b324 + b316*b325 + b316*
     b326 + b316*b327 + b316*b328 + b316*b329 + b316*b330 + b316*b331 + b316*
     b332 + b316*b333 + b316*b337 + b316*b359 + b316*b381 + b316*b402 + b316*
     b423 + b316*b443 + b316*b463 + b317*b318 + b317*b319 + b317*b320 + b317*
     b321 + b317*b322 + b317*b323 + b317*b324 + b317*b325 + b317*b326 + b317*
     b327 + b317*b328 + b317*b329 + b317*b330 + b317*b331 + b317*b332 + b317*
     b333 + b317*b337 + b317*b359 + b317*b381 + b317*b402 + b317*b423 + b317*
     b443 + b317*b463 + b317*b481 + b318*b319 + b318*b320 + b318*b321 + b318*
     b322 + b318*b323 + b318*b324 + b318*b325 + b318*b326 + b318*b327 + b318*
     b328 + b318*b329 + b318*b330 + b318*b331 + b318*b332 + b318*b333 + b318*
     b340 + b318*b341 + b318*b362 + b318*b363 + b318*b384 + b318*b385 + b318*
     b405 + b318*b406 + b318*b426 + b318*b446 + b318*b447 + b318*b466 + b318*
     b484 + b318*b501 + b318*b517 + b318*b532 + b318*b545 + b318*b558 + b318*
     b572 + b318*b583 + b318*b593 + b318*b603 + b318*b613 + b318*b625 + b319*
     b320 + b319*b321 + b319*b322 + b319*b323 + b319*b324 + b319*b325 + b319*
     b326 + b319*b327 + b319*b328 + b319*b329 + b319*b330 + b319*b331 + b319*
     b332 + b319*b333 + b319*b339 + b319*b361 + b319*b383 + b319*b404 + b319*
     b445 + b319*b465 + b319*b483 + b319*b500 + b319*b516 + b319*b531 + b320*
     b321 + b320*b322 + b320*b323 + b320*b324 + b320*b325 + b320*b326 + b320*
     b327 + b320*b328 + b320*b329 + b320*b330 + b320*b331 + b320*b332 + b320*
     b333 + b320*b339 + b320*b361 + b320*b383 + b320*b404 + b320*b425 + b320*
     b445 + b320*b465 + b320*b483 + b320*b500 + b320*b516 + b320*b531 + b321*
     b322 + b321*b323 + b321*b324 + b321*b325 + b321*b326 + b321*b327 + b321*
     b328 + b321*b329 + b321*b330 + b321*b331 + b321*b332 + b321*b333 + b321*
     b343 + b321*b344 + b321*b365 + b321*b366 + b321*b387 + b321*b408 + b321*
     b429 + b321*b449 + b321*b486 + b321*b503 + b321*b518 + b321*b533 + b321*
     b546 + b321*b559 + b321*b573 + b321*b584 + b321*b594 + b321*b604 + b321*
     b614 + b321*b626 + b322*b323 + b322*b324 + b322*b325 + b322*b326 + b322*
     b327 + b322*b328 + b322*b329 + b322*b330 + b322*b331 + b322*b332 + b322*
     b333 + b322*b342 + b322*b364 + b322*b386 + b322*b407 + b322*b428 + b322*
     b448 + b322*b485 + b322*b502 + b323*b324 + b323*b325 + b323*b326 + b323*
     b327 + b323*b328 + b323*b329 + b323*b330 + b323*b331 + b323*b332 + b323*
     b333 + b323*b342 + b323*b364 + b323*b386 + b323*b407 + b323*b428 + b323*
     b448 + b323*b467 + b323*b485 + b323*b502 + b324*b325 + b324*b326 + b324*
     b327 + b324*b328 + b324*b329 + b324*b330 + b324*b331 + b324*b332 + b324*
     b333 + b324*b346 + b324*b347 + b324*b368 + b324*b369 + b324*b389 + b324*
     b390 + b324*b410 + b324*b411 + b324*b431 + b324*b470 + b324*b488 + b324*
     b505 + b324*b520 + b324*b534 + b324*b547 + b324*b560 + b324*b574 + b324*
     b585 + b324*b595 + b324*b605 + b324*b615 + b324*b627 + b325*b326 + b325*
     b327 + b325*b328 + b325*b329 + b325*b330 + b325*b331 + b325*b332 + b325*
     b333 + b325*b345 + b325*b367 + b325*b388 + b325*b409 + b325*b430 + b325*
     b469 + b325*b487 + b325*b504 + b325*b519 + b326*b327 + b326*b328 + b326*
     b329 + b326*b330 + b326*b331 + b326*b332 + b326*b333 + b326*b345 + b326*
     b367 + b326*b388 + b326*b409 + b326*b430 + b326*b450 + b326*b469 + b326*
     b487 + b326*b504 + b326*b519 + b327*b328 + b327*b329 + b327*b330 + b327*
     b331 + b327*b332 + b327*b333 + b327*b349 + b327*b350 + b327*b371 + b327*
     b372 + b327*b392 + b327*b393 + b327*b413 + b327*b433 + b327*b434 + b327*
     b453 + b327*b454 + b327*b472 + b327*b473 + b327*b490 + b327*b491 + b327*
     b507 + b327*b522 + b327*b536 + b327*b549 + b327*b561 + b327*b575 + b327*
     b586 + b327*b596 + b327*b606 + b327*b616 + b327*b619 + b328*b329 + b328*
     b330 + b328*b331 + b328*b332 + b328*b333 + b328*b348 + b328*b370 + b328*
     b391 + b328*b432 + b328*b452 + b328*b471 + b328*b489 + b328*b506 + b328*
     b521 + b328*b535 + b328*b548 + b329*b330 + b329*b331 + b329*b332 + b329*
     b333 + b329*b348 + b329*b370 + b329*b391 + b329*b412 + b329*b432 + b329*
     b452 + b329*b471 + b329*b489 + b329*b506 + b329*b521 + b329*b535 + b329*
     b548 + b330*b331 + b330*b332 + b330*b333 + b330*b416 + b330*b436 + b330*
     b456 + b330*b474 + b330*b492 + b330*b508 + b330*b537 + b330*b550 + b330*
     b562 + b330*b576 + b330*b587 + b330*b597 + b330*b607 + b330*b617 + b330*
     b628 + b331*b332 + b331*b333 + b331*b353 + b331*b396 + b331*b418 + b331*
     b438 + b331*b458 + b331*b476 + b331*b494 + b331*b510 + b331*b525 + b331*
     b538 + b331*b551 + b331*b563 + b331*b565 + b331*b566 + b331*b578 + b332*
     b333 + b332*b352 + b332*b354 + b332*b374 + b332*b395 + b332*b397 + b332*
     b417 + b332*b419 + b332*b437 + b332*b439 + b332*b457 + b332*b459 + b332*
     b475 + b332*b477 + b332*b493 + b332*b495 + b332*b509 + b332*b511 + b332*
     b524 + b332*b526 + b332*b539 + b332*b540 + b332*b552 + b332*b553 + b332*
     b564 + b332*b577 + b332*b588 + b332*b598 + b332*b608 + b332*b618 + b332*
     b620 + b333*b353 + b333*b375 + b333*b396 + b333*b418 + b333*b438 + b333*
     b458 + b333*b476 + b333*b494 + b333*b510 + b333*b525 + b333*b538 + b333*
     b551 + b333*b563 + b333*b565 + b333*b566 + b333*b578 + b334*b335 + b334*
     b336 + b334*b337 + b334*b338 + b334*b339 + b334*b340 + b334*b341 + b334*
     b342 + b334*b343 + b334*b344 + b334*b345 + b334*b346 + b334*b347 + b334*
     b348 + b334*b349 + b334*b350 + b334*b351 + b334*b352 + b334*b353 + b334*
     b354 + b334*b440 + b334*b460 + b334*b478 + b334*b496 + b334*b512 + b334*
     b527 + b334*b554 + b334*b568 + b334*b579 + b334*b589 + b334*b599 + b334*
     b609 + b334*b621 + b335*b336 + b335*b337 + b335*b338 + b335*b339 + b335*
     b340 + b335*b341 + b335*b342 + b335*b343 + b335*b344 + b335*b345 + b335*
     b346 + b335*b347 + b335*b348 + b335*b349 + b335*b350 + b335*b351 + b335*
     b352 + b335*b353 + b335*b354 + b335*b479 + b335*b497 + b335*b513 + b335*
     b528 + b335*b542 + b335*b569 + b335*b580 + b335*b590 + b335*b600 + b335*
     b610 + b335*b622 + b336*b337 + b336*b338 + b336*b339 + b336*b340 + b336*
     b341 + b336*b342 + b336*b343 + b336*b344 + b336*b345 + b336*b346 + b336*
     b347 + b336*b348 + b336*b349 + b336*b350 + b336*b351 + b336*b352 + b336*
     b353 + b336*b354 + b336*b358 + b336*b380 + b336*b401 + b336*b422 + b336*
     b442 + b336*b462 + b336*b480 + b336*b498 + b336*b529 + b336*b543 + b336*
     b556 + b336*b570 + b336*b581 + b336*b591 + b336*b601 + b336*b611 + b336*
     b623 + b337*b338 + b337*b339 + b337*b340 + b337*b341 + b337*b342 + b337*
     b343 + b337*b344 + b337*b345 + b337*b346 + b337*b347 + b337*b348 + b337*
     b349 + b337*b350 + b337*b351 + b337*b352 + b337*b353 + b337*b354 + b337*
     b360 + b337*b382 + b337*b403 + b337*b424 + b337*b444 + b337*b464 + b337*
     b482 + b337*b515 + b337*b530 + b337*b544 + b337*b557 + b337*b571 + b337*
     b582 + b337*b592 + b337*b602 + b337*b612 + b337*b624 + b338*b339 + b338*
     b340 + b338*b341 + b338*b342 + b338*b343 + b338*b344 + b338*b345 + b338*
     b346 + b338*b347 + b338*b348 + b338*b349 + b338*b350 + b338*b351 + b338*
     b352 + b338*b353 + b338*b354 + b338*b359 + b338*b381 + b338*b402 + b338*
     b423 + b338*b443 + b338*b463 + b338*b481 + b339*b340 + b339*b341 + b339*
     b342 + b339*b343 + b339*b344 + b339*b345 + b339*b346 + b339*b347 + b339*
     b348 + b339*b349 + b339*b350 + b339*b351 + b339*b352 + b339*b353 + b339*
     b354 + b339*b362 + b339*b363 + b339*b384 + b339*b385 + b339*b405 + b339*
     b406 + b339*b426 + b339*b427 + b339*b446 + b339*b466 + b339*b484 + b339*
     b501 + b339*b517 + b339*b532 + b339*b545 + b339*b558 + b339*b572 + b339*
     b583 + b339*b593 + b339*b603 + b339*b613 + b339*b625 + b340*b341 + b340*
     b342 + b340*b343 + b340*b344 + b340*b345 + b340*b346 + b340*b347 + b340*
     b348 + b340*b349 + b340*b350 + b340*b351 + b340*b352 + b340*b353 + b340*
     b354 + b340*b361 + b340*b383 + b340*b404 + b340*b425 + b340*b465 + b340*
     b483 + b340*b500 + b340*b516 + b340*b531 + b341*b342 + b341*b343 + b341*
     b344 + b341*b345 + b341*b346 + b341*b347 + b341*b348 + b341*b349 + b341*
     b350 + b341*b351 + b341*b352 + b341*b353 + b341*b354 + b341*b361 + b341*
     b383 + b341*b404 + b341*b425 + b341*b445 + b341*b465 + b341*b483 + b341*
     b500 + b341*b516 + b341*b531 + b342*b343 + b342*b344 + b342*b345 + b342*
     b346 + b342*b347 + b342*b348 + b342*b349 + b342*b350 + b342*b351 + b342*
     b352 + b342*b353 + b342*b354 + b342*b365 + b342*b366 + b342*b387 + b342*
     b408 + b342*b429 + b342*b449 + b342*b468 + b342*b503 + b342*b518 + b342*
     b533 + b342*b546 + b342*b559 + b342*b573 + b342*b584 + b342*b594 + b342*
     b604 + b342*b614 + b342*b626 + b343*b344 + b343*b345 + b343*b346 + b343*
     b347 + b343*b348 + b343*b349 + b343*b350 + b343*b351 + b343*b352 + b343*
     b353 + b343*b354 + b343*b364 + b343*b386 + b343*b407 + b343*b428 + b343*
     b448 + b343*b467 + b343*b502 + b344*b345 + b344*b346 + b344*b347 + b344*
     b348 + b344*b349 + b344*b350 + b344*b351 + b344*b352 + b344*b353 + b344*
     b354 + b344*b364 + b344*b386 + b344*b407 + b344*b428 + b344*b448 + b344*
     b467 + b344*b485 + b344*b502 + b345*b346 + b345*b347 + b345*b348 + b345*
     b349 + b345*b350 + b345*b351 + b345*b352 + b345*b353 + b345*b354 + b345*
     b368 + b345*b369 + b345*b389 + b345*b390 + b345*b410 + b345*b411 + b345*
     b431 + b345*b451 + b345*b488 + b345*b505 + b345*b520 + b345*b534 + b345*
     b547 + b345*b560 + b345*b574 + b345*b585 + b345*b595 + b345*b605 + b345*
     b615 + b345*b627 + b346*b347 + b346*b348 + b346*b349 + b346*b350 + b346*
     b351 + b346*b352 + b346*b353 + b346*b354 + b346*b367 + b346*b388 + b346*
     b409 + b346*b430 + b346*b450 + b346*b487 + b346*b504 + b346*b519 + b347*
     b348 + b347*b349 + b347*b350 + b347*b351 + b347*b352 + b347*b353 + b347*
     b354 + b347*b367 + b347*b388 + b347*b409 + b347*b430 + b347*b450 + b347*
     b469 + b347*b487 + b347*b504 + b347*b519 + b348*b349 + b348*b350 + b348*
     b351 + b348*b352 + b348*b353 + b348*b354 + b348*b371 + b348*b372 + b348*
     b392 + b348*b393 + b348*b413 + b348*b414 + b348*b433 + b348*b453 + b348*
     b454 + b348*b472 + b348*b473 + b348*b490 + b348*b491 + b348*b507 + b348*
     b522 + b348*b536 + b348*b549 + b348*b561 + b348*b575 + b348*b586 + b348*
     b596 + b348*b606 + b348*b616 + b348*b619 + b349*b350 + b349*b351 + b349*
     b352 + b349*b353 + b349*b354 + b349*b370 + b349*b391 + b349*b412 + b349*
     b452 + b349*b471 + b349*b489 + b349*b506 + b349*b521 + b349*b535 + b349*
     b548 + b350*b351 + b350*b352 + b350*b353 + b350*b354 + b350*b370 + b350*
     b391 + b350*b412 + b350*b432 + b350*b452 + b350*b471 + b350*b489 + b350*
     b506 + b350*b521 + b350*b535 + b350*b548 + b351*b352 + b351*b353 + b351*
     b354 + b351*b416 + b351*b436 + b351*b456 + b351*b474 + b351*b492 + b351*
     b508 + b351*b523 + b351*b550 + b351*b562 + b351*b576 + b351*b587 + b351*
     b597 + b351*b607 + b351*b617 + b351*b628 + b352*b353 + b352*b354 + b352*
     b375 + b352*b418 + b352*b438 + b352*b458 + b352*b476 + b352*b494 + b352*
     b510 + b352*b525 + b352*b538 + b352*b551 + b352*b563 + b352*b565 + b352*
     b566 + b352*b578 + b353*b354 + b353*b374 + b353*b376 + b353*b395 + b353*
     b417 + b353*b419 + b353*b437 + b353*b439 + b353*b457 + b353*b459 + b353*
     b475 + b353*b477 + b353*b493 + b353*b495 + b353*b509 + b353*b511 + b353*
     b524 + b353*b526 + b353*b539 + b353*b540 + b353*b552 + b353*b553 + b353*
     b564 + b353*b577 + b353*b588 + b353*b598 + b353*b608 + b353*b618 + b353*
     b620 + b354*b375 + b354*b396 + b354*b418 + b354*b438 + b354*b458 + b354*
     b476 + b354*b494 + b354*b510 + b354*b525 + b354*b538 + b354*b551 + b354*
     b563 + b354*b565 + b354*b566 + b354*b578 + b355*b356 + b355*b357 + b355*
     b358 + b355*b359 + b355*b360 + b355*b361 + b355*b362 + b355*b363 + b355*
     b364 + b355*b365 + b355*b366 + b355*b367 + b355*b368 + b355*b369 + b355*
     b370 + b355*b371 + b355*b372 + b355*b373 + b355*b374 + b355*b375 + b355*
     b376 + b355*b440 + b355*b460 + b355*b478 + b355*b496 + b355*b512 + b355*
     b527 + b355*b541 + b355*b568 + b355*b579 + b355*b589 + b355*b599 + b355*
     b609 + b355*b621 + b356*b357 + b356*b358 + b356*b359 + b356*b360 + b356*
     b361 + b356*b362 + b356*b363 + b356*b364 + b356*b365 + b356*b366 + b356*
     b367 + b356*b368 + b356*b369 + b356*b370 + b356*b371 + b356*b372 + b356*
     b373 + b356*b374 + b356*b375 + b356*b376 + b356*b479 + b356*b497 + b356*
     b513 + b356*b528 + b356*b542 + b356*b555 + b356*b569 + b356*b580 + b356*
     b600 + b356*b610 + b356*b622 + b357*b358 + b357*b359 + b357*b360 + b357*
     b361 + b357*b362 + b357*b363 + b357*b364 + b357*b365 + b357*b366 + b357*
     b367 + b357*b368 + b357*b369 + b357*b370 + b357*b371 + b357*b372 + b357*
     b373 + b357*b374 + b357*b375 + b357*b376 + b357*b380 + b357*b401 + b357*
     b422 + b357*b442 + b357*b462 + b357*b480 + b357*b498 + b357*b514 + b357*
     b543 + b357*b556 + b357*b570 + b357*b581 + b357*b591 + b357*b601 + b357*
     b611 + b357*b623 + b358*b359 + b358*b360 + b358*b361 + b358*b362 + b358*
     b363 + b358*b364 + b358*b365 + b358*b366 + b358*b367 + b358*b368 + b358*
     b369 + b358*b370 + b358*b371 + b358*b372 + b358*b373 + b358*b374 + b358*
     b375 + b358*b376 + b358*b379 + b358*b400 + b358*b421 + b358*b441 + b358*
     b461 + b359*b360 + b359*b361 + b359*b362 + b359*b363 + b359*b364 + b359*
     b365 + b359*b366 + b359*b367 + b359*b368 + b359*b369 + b359*b370 + b359*
     b371 + b359*b372 + b359*b373 + b359*b374 + b359*b375 + b359*b376 + b359*
     b382 + b359*b403 + b359*b424 + b359*b444 + b359*b464 + b359*b482 + b359*
     b499 + b359*b530 + b359*b544 + b359*b557 + b359*b571 + b359*b582 + b359*
     b592 + b359*b602 + b359*b612 + b359*b624 + b360*b361 + b360*b362 + b360*
     b363 + b360*b364 + b360*b365 + b360*b366 + b360*b367 + b360*b368 + b360*
     b369 + b360*b370 + b360*b371 + b360*b372 + b360*b373 + b360*b374 + b360*
     b375 + b360*b376 + b360*b381 + b360*b402 + b360*b423 + b360*b443 + b360*
     b463 + b360*b481 + b361*b362 + b361*b363 + b361*b364 + b361*b365 + b361*
     b366 + b361*b367 + b361*b368 + b361*b369 + b361*b370 + b361*b371 + b361*
     b372 + b361*b373 + b361*b374 + b361*b375 + b361*b376 + b361*b384 + b361*
     b385 + b361*b405 + b361*b406 + b361*b426 + b361*b427 + b361*b446 + b361*
     b447 + b361*b484 + b361*b501 + b361*b517 + b361*b532 + b361*b545 + b361*
     b558 + b361*b572 + b361*b583 + b361*b593 + b361*b603 + b361*b613 + b361*
     b625 + b362*b363 + b362*b364 + b362*b365 + b362*b366 + b362*b367 + b362*
     b368 + b362*b369 + b362*b370 + b362*b371 + b362*b372 + b362*b373 + b362*
     b374 + b362*b375 + b362*b376 + b362*b383 + b362*b404 + b362*b425 + b362*
     b445 + b362*b483 + b362*b500 + b362*b516 + b362*b531 + b363*b364 + b363*
     b365 + b363*b366 + b363*b367 + b363*b368 + b363*b369 + b363*b370 + b363*
     b371 + b363*b372 + b363*b373 + b363*b374 + b363*b375 + b363*b376 + b363*
     b383 + b363*b404 + b363*b425 + b363*b445 + b363*b465 + b363*b483 + b363*
     b500 + b363*b516 + b363*b531 + b364*b365 + b364*b366 + b364*b367 + b364*
     b368 + b364*b369 + b364*b370 + b364*b371 + b364*b372 + b364*b373 + b364*
     b374 + b364*b375 + b364*b376 + b364*b387 + b364*b408 + b364*b429 + b364*
     b449 + b364*b468 + b364*b486 + b364*b518 + b364*b533 + b364*b546 + b364*
     b559 + b364*b573 + b364*b584 + b364*b594 + b364*b604 + b364*b614 + b364*
     b626 + b365*b366 + b365*b367 + b365*b368 + b365*b369 + b365*b370 + b365*
     b371 + b365*b372 + b365*b373 + b365*b374 + b365*b375 + b365*b376 + b365*
     b386 + b365*b407 + b365*b428 + b365*b448 + b365*b467 + b365*b485 + b366*
     b367 + b366*b368 + b366*b369 + b366*b370 + b366*b371 + b366*b372 + b366*
     b373 + b366*b374 + b366*b375 + b366*b376 + b366*b386 + b366*b407 + b366*
     b428 + b366*b448 + b366*b467 + b366*b485 + b366*b502 + b367*b368 + b367*
     b369 + b367*b370 + b367*b371 + b367*b372 + b367*b373 + b367*b374 + b367*
     b375 + b367*b376 + b367*b389 + b367*b390 + b367*b410 + b367*b411 + b367*
     b431 + b367*b451 + b367*b470 + b367*b505 + b367*b520 + b367*b534 + b367*
     b547 + b367*b560 + b367*b574 + b367*b585 + b367*b595 + b367*b605 + b367*
     b615 + b367*b627 + b368*b369 + b368*b370 + b368*b371 + b368*b372 + b368*
     b373 + b368*b374 + b368*b375 + b368*b376 + b368*b388 + b368*b409 + b368*
     b430 + b368*b450 + b368*b469 + b368*b504 + b368*b519 + b369*b370 + b369*
     b371 + b369*b372 + b369*b373 + b369*b374 + b369*b375 + b369*b376 + b369*
     b388 + b369*b409 + b369*b430 + b369*b450 + b369*b469 + b369*b487 + b369*
     b504 + b369*b519 + b370*b371 + b370*b372 + b370*b373 + b370*b374 + b370*
     b375 + b370*b376 + b370*b392 + b370*b393 + b370*b413 + b370*b414 + b370*
     b433 + b370*b434 + b370*b453 + b370*b472 + b370*b473 + b370*b490 + b370*
     b491 + b370*b507 + b370*b522 + b370*b536 + b370*b549 + b370*b561 + b370*
     b575 + b370*b586 + b370*b596 + b370*b606 + b370*b616 + b370*b619 + b371*
     b372 + b371*b373 + b371*b374 + b371*b375 + b371*b376 + b371*b391 + b371*
     b412 + b371*b432 + b371*b471 + b371*b489 + b371*b506 + b371*b521 + b371*
     b535 + b371*b548 + b372*b373 + b372*b374 + b372*b375 + b372*b376 + b372*
     b391 + b372*b412 + b372*b432 + b372*b452 + b372*b471 + b372*b489 + b372*
     b506 + b372*b521 + b372*b535 + b372*b548 + b373*b374 + b373*b375 + b373*
     b376 + b373*b416 + b373*b436 + b373*b456 + b373*b474 + b373*b492 + b373*
     b508 + b373*b523 + b373*b537 + b373*b562 + b373*b576 + b373*b587 + b373*
     b597 + b373*b607 + b373*b617 + b373*b628 + b374*b375 + b374*b376 + b374*
     b396 + b374*b438 + b374*b458 + b374*b476 + b374*b494 + b374*b510 + b374*
     b525 + b374*b538 + b374*b551 + b374*b563 + b374*b565 + b374*b566 + b374*
     b578 + b375*b376 + b375*b395 + b375*b397 + b375*b417 + b375*b437 + b375*
     b439 + b375*b457 + b375*b459 + b375*b475 + b375*b477 + b375*b493 + b375*
     b495 + b375*b509 + b375*b511 + b375*b524 + b375*b526 + b375*b539 + b375*
     b540 + b375*b552 + b375*b553 + b375*b564 + b375*b577 + b375*b588 + b375*
     b598 + b375*b608 + b375*b618 + b375*b620 + b376*b396 + b376*b418 + b376*
     b438 + b376*b458 + b376*b476 + b376*b494 + b376*b510 + b376*b525 + b376*
     b538 + b376*b551 + b376*b563 + b376*b565 + b376*b566 + b376*b578 + b377*
     b378 + b377*b379 + b377*b380 + b377*b381 + b377*b382 + b377*b383 + b377*
     b384 + b377*b385 + b377*b386 + b377*b387 + b377*b388 + b377*b389 + b377*
     b390 + b377*b391 + b377*b392 + b377*b393 + b377*b394 + b377*b395 + b377*
     b396 + b377*b397 + b377*b440 + b377*b460 + b377*b478 + b377*b496 + b377*
     b512 + b377*b527 + b377*b541 + b377*b554 + b377*b568 + b377*b579 + b377*
     b599 + b377*b609 + b377*b621 + b378*b379 + b378*b380 + b378*b381 + b378*
     b382 + b378*b383 + b378*b384 + b378*b385 + b378*b386 + b378*b387 + b378*
     b388 + b378*b389 + b378*b390 + b378*b391 + b378*b392 + b378*b393 + b378*
     b394 + b378*b395 + b378*b396 + b378*b397 + b378*b479 + b378*b497 + b378*
     b513 + b378*b528 + b378*b542 + b378*b555 + b378*b569 + b378*b580 + b378*
     b590 + b378*b610 + b378*b622 + b379*b380 + b379*b381 + b379*b382 + b379*
     b383 + b379*b384 + b379*b385 + b379*b386 + b379*b387 + b379*b388 + b379*
     b389 + b379*b390 + b379*b391 + b379*b392 + b379*b393 + b379*b394 + b379*
     b395 + b379*b396 + b379*b397 + b379*b401 + b379*b422 + b379*b442 + b379*
     b462 + b379*b480 + b379*b498 + b379*b514 + b379*b529 + b379*b556 + b379*
     b570 + b379*b581 + b379*b591 + b379*b601 + b379*b611 + b379*b623 + b380*
     b381 + b380*b382 + b380*b383 + b380*b384 + b380*b385 + b380*b386 + b380*
     b387 + b380*b388 + b380*b389 + b380*b390 + b380*b391 + b380*b392 + b380*
     b393 + b380*b394 + b380*b395 + b380*b396 + b380*b397 + b380*b400 + b380*
     b421 + b380*b441 + b380*b461 + b381*b382 + b381*b383 + b381*b384 + b381*
     b385 + b381*b386 + b381*b387 + b381*b388 + b381*b389 + b381*b390 + b381*
     b391 + b381*b392 + b381*b393 + b381*b394 + b381*b395 + b381*b396 + b381*
     b397 + b381*b403 + b381*b424 + b381*b444 + b381*b464 + b381*b482 + b381*
     b499 + b381*b515 + b381*b544 + b381*b557 + b381*b571 + b381*b582 + b381*
     b592 + b381*b602 + b381*b612 + b381*b624 + b382*b383 + b382*b384 + b382*
     b385 + b382*b386 + b382*b387 + b382*b388 + b382*b389 + b382*b390 + b382*
     b391 + b382*b392 + b382*b393 + b382*b394 + b382*b395 + b382*b396 + b382*
     b397 + b382*b402 + b382*b423 + b382*b443 + b382*b463 + b382*b481 + b383*
     b384 + b383*b385 + b383*b386 + b383*b387 + b383*b388 + b383*b389 + b383*
     b390 + b383*b391 + b383*b392 + b383*b393 + b383*b394 + b383*b395 + b383*
     b396 + b383*b397 + b383*b405 + b383*b406 + b383*b426 + b383*b427 + b383*
     b446 + b383*b447 + b383*b466 + b383*b501 + b383*b517 + b383*b532 + b383*
     b545 + b383*b558 + b383*b572 + b383*b583 + b383*b593 + b383*b603 + b383*
     b613 + b383*b625 + b384*b385 + b384*b386 + b384*b387 + b384*b388 + b384*
     b389 + b384*b390 + b384*b391 + b384*b392 + b384*b393 + b384*b394 + b384*
     b395 + b384*b396 + b384*b397 + b384*b404 + b384*b425 + b384*b445 + b384*
     b465 + b384*b500 + b384*b516 + b384*b531 + b385*b386 + b385*b387 + b385*
     b388 + b385*b389 + b385*b390 + b385*b391 + b385*b392 + b385*b393 + b385*
     b394 + b385*b395 + b385*b396 + b385*b397 + b385*b404 + b385*b425 + b385*
     b445 + b385*b465 + b385*b483 + b385*b500 + b385*b516 + b385*b531 + b386*
     b387 + b386*b388 + b386*b389 + b386*b390 + b386*b391 + b386*b392 + b386*
     b393 + b386*b394 + b386*b395 + b386*b396 + b386*b397 + b386*b408 + b386*
     b429 + b386*b449 + b386*b468 + b386*b486 + b386*b503 + b386*b533 + b386*
     b546 + b386*b559 + b386*b573 + b386*b584 + b386*b594 + b386*b604 + b386*
     b614 + b386*b626 + b387*b388 + b387*b389 + b387*b390 + b387*b391 + b387*
     b392 + b387*b393 + b387*b394 + b387*b395 + b387*b396 + b387*b397 + b387*
     b407 + b387*b428 + b387*b448 + b387*b467 + b387*b485 + b387*b502 + b388*
     b389 + b388*b390 + b388*b391 + b388*b392 + b388*b393 + b388*b394 + b388*
     b395 + b388*b396 + b388*b397 + b388*b410 + b388*b411 + b388*b431 + b388*
     b451 + b388*b470 + b388*b488 + b388*b520 + b388*b534 + b388*b547 + b388*
     b560 + b388*b574 + b388*b585 + b388*b595 + b388*b605 + b388*b615 + b388*
     b627 + b389*b390 + b389*b391 + b389*b392 + b389*b393 + b389*b394 + b389*
     b395 + b389*b396 + b389*b397 + b389*b409 + b389*b430 + b389*b450 + b389*
     b469 + b389*b487 + b389*b519 + b390*b391 + b390*b392 + b390*b393 + b390*
     b394 + b390*b395 + b390*b396 + b390*b397 + b390*b409 + b390*b430 + b390*
     b450 + b390*b469 + b390*b487 + b390*b504 + b390*b519 + b391*b392 + b391*
     b393 + b391*b394 + b391*b395 + b391*b396 + b391*b397 + b391*b413 + b391*
     b414 + b391*b433 + b391*b434 + b391*b453 + b391*b454 + b391*b472 + b391*
     b490 + b391*b491 + b391*b507 + b391*b522 + b391*b536 + b391*b549 + b391*
     b561 + b391*b575 + b391*b586 + b391*b596 + b391*b606 + b391*b616 + b391*
     b619 + b392*b393 + b392*b394 + b392*b395 + b392*b396 + b392*b397 + b392*
     b412 + b392*b432 + b392*b452 + b392*b489 + b392*b506 + b392*b521 + b392*
     b535 + b392*b548 + b393*b394 + b393*b395 + b393*b396 + b393*b397 + b393*
     b412 + b393*b432 + b393*b452 + b393*b471 + b393*b489 + b393*b506 + b393*
     b521 + b393*b535 + b393*b548 + b394*b395 + b394*b396 + b394*b397 + b394*
     b416 + b394*b436 + b394*b456 + b394*b474 + b394*b492 + b394*b508 + b394*
     b523 + b394*b537 + b394*b550 + b394*b576 + b394*b587 + b394*b597 + b394*
     b607 + b394*b617 + b394*b628 + b395*b396 + b395*b397 + b395*b418 + b395*
     b458 + b395*b476 + b395*b494 + b395*b510 + b395*b525 + b395*b538 + b395*
     b551 + b395*b563 + b395*b565 + b395*b566 + b395*b578 + b396*b397 + b396*
     b417 + b396*b419 + b396*b437 + b396*b457 + b396*b459 + b396*b475 + b396*
     b477 + b396*b493 + b396*b495 + b396*b509 + b396*b511 + b396*b524 + b396*
     b526 + b396*b539 + b396*b540 + b396*b552 + b396*b553 + b396*b564 + b396*
     b577 + b396*b588 + b396*b598 + b396*b608 + b396*b618 + b396*b620 + b397*
     b418 + b397*b438 + b397*b458 + b397*b476 + b397*b494 + b397*b510 + b397*
     b525 + b397*b538 + b397*b551 + b397*b563 + b397*b565 + b397*b566 + b397*
     b578 + b398*b399 + b398*b400 + b398*b401 + b398*b402 + b398*b403 + b398*
     b404 + b398*b405 + b398*b406 + b398*b407 + b398*b408 + b398*b409 + b398*
     b410 + b398*b411 + b398*b412 + b398*b413 + b398*b414 + b398*b415 + b398*
     b416 + b398*b417 + b398*b418 + b398*b419 + b398*b440 + b398*b460 + b398*
     b478 + b398*b496 + b398*b512 + b398*b527 + b398*b541 + b398*b554 + b398*
     b568 + b398*b579 + b398*b589 + b398*b609 + b398*b621 + b399*b400 + b399*
     b401 + b399*b402 + b399*b403 + b399*b404 + b399*b405 + b399*b406 + b399*
     b407 + b399*b408 + b399*b409 + b399*b410 + b399*b411 + b399*b412 + b399*
     b413 + b399*b414 + b399*b415 + b399*b416 + b399*b417 + b399*b418 + b399*
     b419 + b399*b479 + b399*b497 + b399*b513 + b399*b528 + b399*b542 + b399*
     b555 + b399*b569 + b399*b580 + b399*b590 + b399*b600 + b399*b622 + b400*
     b401 + b400*b402 + b400*b403 + b400*b404 + b400*b405 + b400*b406 + b400*
     b407 + b400*b408 + b400*b409 + b400*b410 + b400*b411 + b400*b412 + b400*
     b413 + b400*b414 + b400*b415 + b400*b416 + b400*b417 + b400*b418 + b400*
     b419 + b400*b422 + b400*b442 + b400*b462 + b400*b480 + b400*b498 + b400*
     b514 + b400*b529 + b400*b543 + b400*b570 + b400*b581 + b400*b591 + b400*
     b601 + b400*b611 + b400*b623 + b401*b402 + b401*b403 + b401*b404 + b401*
     b405 + b401*b406 + b401*b407 + b401*b408 + b401*b409 + b401*b410 + b401*
     b411 + b401*b412 + b401*b413 + b401*b414 + b401*b415 + b401*b416 + b401*
     b417 + b401*b418 + b401*b419 + b401*b421 + b401*b441 + b401*b461 + b402*
     b403 + b402*b404 + b402*b405 + b402*b406 + b402*b407 + b402*b408 + b402*
     b409 + b402*b410 + b402*b411 + b402*b412 + b402*b413 + b402*b414 + b402*
     b415 + b402*b416 + b402*b417 + b402*b418 + b402*b419 + b402*b424 + b402*
     b444 + b402*b464 + b402*b482 + b402*b499 + b402*b515 + b402*b530 + b402*
     b557 + b402*b571 + b402*b582 + b402*b592 + b402*b602 + b402*b612 + b402*
     b624 + b403*b404 + b403*b405 + b403*b406 + b403*b407 + b403*b408 + b403*
     b409 + b403*b410 + b403*b411 + b403*b412 + b403*b413 + b403*b414 + b403*
     b415 + b403*b416 + b403*b417 + b403*b418 + b403*b419 + b403*b423 + b403*
     b443 + b403*b463 + b403*b481 + b404*b405 + b404*b406 + b404*b407 + b404*
     b408 + b404*b409 + b404*b410 + b404*b411 + b404*b412 + b404*b413 + b404*
     b414 + b404*b415 + b404*b416 + b404*b417 + b404*b418 + b404*b419 + b404*
     b426 + b404*b427 + b404*b446 + b404*b447 + b404*b466 + b404*b484 + b404*
     b517 + b404*b532 + b404*b545 + b404*b558 + b404*b572 + b404*b583 + b404*
     b593 + b404*b603 + b404*b613 + b404*b625 + b405*b406 + b405*b407 + b405*
     b408 + b405*b409 + b405*b410 + b405*b411 + b405*b412 + b405*b413 + b405*
     b414 + b405*b415 + b405*b416 + b405*b417 + b405*b418 + b405*b419 + b405*
     b425 + b405*b445 + b405*b465 + b405*b483 + b405*b516 + b405*b531 + b406*
     b407 + b406*b408 + b406*b409 + b406*b410 + b406*b411 + b406*b412 + b406*
     b413 + b406*b414 + b406*b415 + b406*b416 + b406*b417 + b406*b418 + b406*
     b419 + b406*b425 + b406*b445 + b406*b465 + b406*b483 + b406*b500 + b406*
     b516 + b406*b531 + b407*b408 + b407*b409 + b407*b410 + b407*b411 + b407*
     b412 + b407*b413 + b407*b414 + b407*b415 + b407*b416 + b407*b417 + b407*
     b418 + b407*b419 + b407*b429 + b407*b449 + b407*b468 + b407*b486 + b407*
     b503 + b407*b518 + b407*b546 + b407*b559 + b407*b573 + b407*b584 + b407*
     b594 + b407*b604 + b407*b614 + b407*b626 + b408*b409 + b408*b410 + b408*
     b411 + b408*b412 + b408*b413 + b408*b414 + b408*b415 + b408*b416 + b408*
     b417 + b408*b418 + b408*b419 + b408*b428 + b408*b448 + b408*b467 + b408*
     b485 + b408*b502 + b409*b410 + b409*b411 + b409*b412 + b409*b413 + b409*
     b414 + b409*b415 + b409*b416 + b409*b417 + b409*b418 + b409*b419 + b409*
     b431 + b409*b451 + b409*b470 + b409*b488 + b409*b505 + b409*b534 + b409*
     b547 + b409*b560 + b409*b574 + b409*b585 + b409*b595 + b409*b605 + b409*
     b615 + b409*b627 + b410*b411 + b410*b412 + b410*b413 + b410*b414 + b410*
     b415 + b410*b416 + b410*b417 + b410*b418 + b410*b419 + b410*b430 + b410*
     b450 + b410*b469 + b410*b487 + b410*b504 + b411*b412 + b411*b413 + b411*
     b414 + b411*b415 + b411*b416 + b411*b417 + b411*b418 + b411*b419 + b411*
     b430 + b411*b450 + b411*b469 + b411*b487 + b411*b504 + b411*b519 + b412*
     b413 + b412*b414 + b412*b415 + b412*b416 + b412*b417 + b412*b418 + b412*
     b419 + b412*b433 + b412*b434 + b412*b453 + b412*b454 + b412*b472 + b412*
     b473 + b412*b490 + b412*b507 + b412*b522 + b412*b536 + b412*b549 + b412*
     b561 + b412*b575 + b412*b586 + b412*b596 + b412*b606 + b412*b616 + b412*
     b619 + b413*b414 + b413*b415 + b413*b416 + b413*b417 + b413*b418 + b413*
     b419 + b413*b432 + b413*b452 + b413*b471 + b413*b506 + b413*b521 + b413*
     b535 + b413*b548 + b414*b415 + b414*b416 + b414*b417 + b414*b418 + b414*
     b419 + b414*b432 + b414*b452 + b414*b471 + b414*b489 + b414*b506 + b414*
     b521 + b414*b535 + b414*b548 + b415*b416 + b415*b417 + b415*b418 + b415*
     b419 + b415*b436 + b415*b456 + b415*b474 + b415*b492 + b415*b508 + b415*
     b523 + b415*b537 + b415*b550 + b415*b562 + b415*b576 + b415*b587 + b415*
     b607 + b415*b617 + b415*b628 + b416*b417 + b416*b418 + b416*b419 + b416*
     b435 + b416*b455 + b417*b418 + b417*b419 + b417*b438 + b417*b476 + b417*
     b494 + b417*b510 + b417*b525 + b417*b538 + b417*b551 + b417*b563 + b417*
     b565 + b417*b566 + b417*b578 + b418*b419 + b418*b437 + b418*b439 + b418*
     b457 + b418*b475 + b418*b477 + b418*b493 + b418*b495 + b418*b509 + b418*
     b511 + b418*b524 + b418*b526 + b418*b539 + b418*b540 + b418*b552 + b418*
     b553 + b418*b564 + b418*b577 + b418*b588 + b418*b598 + b418*b608 + b418*
     b618 + b418*b620 + b419*b438 + b419*b458 + b419*b476 + b419*b494 + b419*
     b510 + b419*b525 + b419*b538 + b419*b551 + b419*b563 + b419*b565 + b419*
     b566 + b419*b578 + b420*b421 + b420*b422 + b420*b423 + b420*b424 + b420*
     b425 + b420*b426 + b420*b427 + b420*b428 + b420*b429 + b420*b430 + b420*
     b431 + b420*b432 + b420*b433 + b420*b434 + b420*b435 + b420*b436 + b420*
     b437 + b420*b438 + b420*b439 + b420*b440 + b420*b460 + b420*b478 + b420*
     b496 + b420*b512 + b420*b527 + b420*b541 + b420*b554 + b420*b568 + b420*
     b579 + b420*b589 + b420*b599 + b420*b621 + b421*b422 + b421*b423 + b421*
     b424 + b421*b425 + b421*b426 + b421*b427 + b421*b428 + b421*b429 + b421*
     b430 + b421*b431 + b421*b432 + b421*b433 + b421*b434 + b421*b435 + b421*
     b436 + b421*b437 + b421*b438 + b421*b439 + b421*b442 + b421*b462 + b421*
     b480 + b421*b498 + b421*b514 + b421*b529 + b421*b543 + b421*b556 + b421*
     b570 + b421*b581 + b421*b601 + b421*b611 + b421*b623 + b422*b423 + b422*
     b424 + b422*b425 + b422*b426 + b422*b427 + b422*b428 + b422*b429 + b422*
     b430 + b422*b431 + b422*b432 + b422*b433 + b422*b434 + b422*b435 + b422*
     b436 + b422*b437 + b422*b438 + b422*b439 + b422*b441 + b422*b461 + b423*
     b424 + b423*b425 + b423*b426 + b423*b427 + b423*b428 + b423*b429 + b423*
     b430 + b423*b431 + b423*b432 + b423*b433 + b423*b434 + b423*b435 + b423*
     b436 + b423*b437 + b423*b438 + b423*b439 + b423*b444 + b423*b464 + b423*
     b482 + b423*b499 + b423*b515 + b423*b530 + b423*b544 + b423*b571 + b423*
     b582 + b423*b592 + b423*b602 + b423*b612 + b423*b624 + b424*b425 + b424*
     b426 + b424*b427 + b424*b428 + b424*b429 + b424*b430 + b424*b431 + b424*
     b432 + b424*b433 + b424*b434 + b424*b435 + b424*b436 + b424*b437 + b424*
     b438 + b424*b439 + b424*b443 + b424*b463 + b424*b481 + b425*b426 + b425*
     b427 + b425*b428 + b425*b429 + b425*b430 + b425*b431 + b425*b432 + b425*
     b433 + b425*b434 + b425*b435 + b425*b436 + b425*b437 + b425*b438 + b425*
     b439 + b425*b446 + b425*b447 + b425*b466 + b425*b484 + b425*b501 + b425*
     b532 + b425*b545 + b425*b558 + b425*b572 + b425*b583 + b425*b593 + b425*
     b603 + b425*b613 + b425*b625 + b426*b427 + b426*b428 + b426*b429 + b426*
     b430 + b426*b431 + b426*b432 + b426*b433 + b426*b434 + b426*b435 + b426*
     b436 + b426*b437 + b426*b438 + b426*b439 + b426*b445 + b426*b465 + b426*
     b483 + b426*b500 + b426*b531 + b427*b428 + b427*b429 + b427*b430 + b427*
     b431 + b427*b432 + b427*b433 + b427*b434 + b427*b435 + b427*b436 + b427*
     b437 + b427*b438 + b427*b439 + b427*b445 + b427*b465 + b427*b483 + b427*
     b500 + b427*b516 + b427*b531 + b428*b429 + b428*b430 + b428*b431 + b428*
     b432 + b428*b433 + b428*b434 + b428*b435 + b428*b436 + b428*b437 + b428*
     b438 + b428*b439 + b428*b449 + b428*b468 + b428*b486 + b428*b503 + b428*
     b518 + b428*b533 + b428*b559 + b428*b573 + b428*b584 + b428*b594 + b428*
     b604 + b428*b614 + b428*b626 + b429*b430 + b429*b431 + b429*b432 + b429*
     b433 + b429*b434 + b429*b435 + b429*b436 + b429*b437 + b429*b438 + b429*
     b439 + b429*b448 + b429*b467 + b429*b485 + b429*b502 + b430*b431 + b430*
     b432 + b430*b433 + b430*b434 + b430*b435 + b430*b436 + b430*b437 + b430*
     b438 + b430*b439 + b430*b451 + b430*b470 + b430*b488 + b430*b505 + b430*
     b520 + b430*b547 + b430*b560 + b430*b574 + b430*b585 + b430*b595 + b430*
     b605 + b430*b615 + b430*b627 + b431*b432 + b431*b433 + b431*b434 + b431*
     b435 + b431*b436 + b431*b437 + b431*b438 + b431*b439 + b431*b450 + b431*
     b469 + b431*b487 + b431*b504 + b431*b519 + b432*b433 + b432*b434 + b432*
     b435 + b432*b436 + b432*b437 + b432*b438 + b432*b439 + b432*b453 + b432*
     b454 + b432*b472 + b432*b473 + b432*b490 + b432*b491 + b432*b522 + b432*
     b536 + b432*b549 + b432*b561 + b432*b575 + b432*b586 + b432*b596 + b432*
     b606 + b432*b616 + b432*b619 + b433*b434 + b433*b435 + b433*b436 + b433*
     b437 + b433*b438 + b433*b439 + b433*b452 + b433*b471 + b433*b489 + b433*
     b521 + b433*b535 + b433*b548 + b434*b435 + b434*b436 + b434*b437 + b434*
     b438 + b434*b439 + b434*b452 + b434*b471 + b434*b489 + b434*b506 + b434*
     b521 + b434*b535 + b434*b548 + b435*b436 + b435*b437 + b435*b438 + b435*
     b439 + b435*b456 + b435*b474 + b435*b492 + b435*b508 + b435*b523 + b435*
     b537 + b435*b550 + b435*b562 + b435*b576 + b435*b587 + b435*b597 + b435*
     b617 + b435*b628 + b436*b437 + b436*b438 + b436*b439 + b436*b455 + b437*
     b438 + b437*b439 + b437*b458 + b437*b494 + b437*b510 + b437*b525 + b437*
     b538 + b437*b551 + b437*b563 + b437*b565 + b437*b566 + b437*b578 + b438*
     b439 + b438*b457 + b438*b459 + b438*b475 + b438*b493 + b438*b495 + b438*
     b509 + b438*b511 + b438*b524 + b438*b526 + b438*b539 + b438*b540 + b438*
     b552 + b438*b553 + b438*b564 + b438*b577 + b438*b588 + b438*b598 + b438*
     b608 + b438*b618 + b438*b620 + b439*b458 + b439*b476 + b439*b494 + b439*
     b510 + b439*b525 + b439*b538 + b439*b551 + b439*b563 + b439*b565 + b439*
     b566 + b439*b578 + b440*b441 + b440*b442 + b440*b443 + b440*b444 + b440*
     b445 + b440*b446 + b440*b447 + b440*b448 + b440*b449 + b440*b450 + b440*
     b451 + b440*b452 + b440*b453 + b440*b454 + b440*b455 + b440*b456 + b440*
     b457 + b440*b458 + b440*b459 + b441*b442 + b441*b443 + b441*b444 + b441*
     b445 + b441*b446 + b441*b447 + b441*b448 + b441*b449 + b441*b450 + b441*
     b451 + b441*b452 + b441*b453 + b441*b454 + b441*b455 + b441*b456 + b441*
     b457 + b441*b458 + b441*b459 + b441*b462 + b441*b480 + b441*b498 + b441*
     b514 + b441*b529 + b441*b543 + b441*b556 + b441*b570 + b441*b581 + b441*
     b591 + b441*b611 + b441*b623 + b442*b443 + b442*b444 + b442*b445 + b442*
     b446 + b442*b447 + b442*b448 + b442*b449 + b442*b450 + b442*b451 + b442*
     b452 + b442*b453 + b442*b454 + b442*b455 + b442*b456 + b442*b457 + b442*
     b458 + b442*b459 + b442*b461 + b443*b444 + b443*b445 + b443*b446 + b443*
     b447 + b443*b448 + b443*b449 + b443*b450 + b443*b451 + b443*b452 + b443*
     b453 + b443*b454 + b443*b455 + b443*b456 + b443*b457 + b443*b458 + b443*
     b459 + b443*b464 + b443*b482 + b443*b499 + b443*b515 + b443*b530 + b443*
     b544 + b443*b557 + b443*b571 + b443*b582 + b443*b602 + b443*b612 + b443*
     b624 + b444*b445 + b444*b446 + b444*b447 + b444*b448 + b444*b449 + b444*
     b450 + b444*b451 + b444*b452 + b444*b453 + b444*b454 + b444*b455 + b444*
     b456 + b444*b457 + b444*b458 + b444*b459 + b444*b463 + b444*b481 + b445*
     b446 + b445*b447 + b445*b448 + b445*b449 + b445*b450 + b445*b451 + b445*
     b452 + b445*b453 + b445*b454 + b445*b455 + b445*b456 + b445*b457 + b445*
     b458 + b445*b459 + b445*b466 + b445*b484 + b445*b501 + b445*b517 + b445*
     b545 + b445*b558 + b445*b572 + b445*b583 + b445*b593 + b445*b603 + b445*
     b613 + b445*b625 + b446*b447 + b446*b448 + b446*b449 + b446*b450 + b446*
     b451 + b446*b452 + b446*b453 + b446*b454 + b446*b455 + b446*b456 + b446*
     b457 + b446*b458 + b446*b459 + b446*b465 + b446*b483 + b446*b500 + b446*
     b516 + b447*b448 + b447*b449 + b447*b450 + b447*b451 + b447*b452 + b447*
     b453 + b447*b454 + b447*b455 + b447*b456 + b447*b457 + b447*b458 + b447*
     b459 + b447*b465 + b447*b483 + b447*b500 + b447*b516 + b447*b531 + b448*
     b449 + b448*b450 + b448*b451 + b448*b452 + b448*b453 + b448*b454 + b448*
     b455 + b448*b456 + b448*b457 + b448*b458 + b448*b459 + b448*b468 + b448*
     b486 + b448*b503 + b448*b518 + b448*b533 + b448*b546 + b448*b573 + b448*
     b584 + b448*b594 + b448*b604 + b448*b614 + b448*b626 + b449*b450 + b449*
     b451 + b449*b452 + b449*b453 + b449*b454 + b449*b455 + b449*b456 + b449*
     b457 + b449*b458 + b449*b459 + b449*b467 + b449*b485 + b449*b502 + b450*
     b451 + b450*b452 + b450*b453 + b450*b454 + b450*b455 + b450*b456 + b450*
     b457 + b450*b458 + b450*b459 + b450*b470 + b450*b488 + b450*b505 + b450*
     b520 + b450*b534 + b450*b560 + b450*b574 + b450*b585 + b450*b595 + b450*
     b605 + b450*b615 + b450*b627 + b451*b452 + b451*b453 + b451*b454 + b451*
     b455 + b451*b456 + b451*b457 + b451*b458 + b451*b459 + b451*b469 + b451*
     b487 + b451*b504 + b451*b519 + b452*b453 + b452*b454 + b452*b455 + b452*
     b456 + b452*b457 + b452*b458 + b452*b459 + b452*b472 + b452*b473 + b452*
     b490 + b452*b491 + b452*b507 + b452*b536 + b452*b549 + b452*b561 + b452*
     b575 + b452*b586 + b452*b596 + b452*b606 + b452*b616 + b452*b619 + b453*
     b454 + b453*b455 + b453*b456 + b453*b457 + b453*b458 + b453*b459 + b453*
     b471 + b453*b489 + b453*b506 + b453*b535 + b453*b548 + b454*b455 + b454*
     b456 + b454*b457 + b454*b458 + b454*b459 + b454*b471 + b454*b489 + b454*
     b506 + b454*b521 + b454*b535 + b454*b548 + b455*b456 + b455*b457 + b455*
     b458 + b455*b459 + b455*b474 + b455*b492 + b455*b508 + b455*b523 + b455*
     b537 + b455*b550 + b455*b562 + b455*b576 + b455*b587 + b455*b597 + b455*
     b607 + b455*b628 + b456*b457 + b456*b458 + b456*b459 + b457*b458 + b457*
     b459 + b457*b476 + b457*b510 + b457*b525 + b457*b538 + b457*b551 + b457*
     b563 + b457*b565 + b457*b566 + b457*b578 + b458*b459 + b458*b475 + b458*
     b477 + b458*b493 + b458*b509 + b458*b511 + b458*b524 + b458*b526 + b458*
     b539 + b458*b540 + b458*b552 + b458*b553 + b458*b564 + b458*b577 + b458*
     b588 + b458*b598 + b458*b608 + b458*b618 + b458*b620 + b459*b476 + b459*
     b494 + b459*b510 + b459*b525 + b459*b538 + b459*b551 + b459*b563 + b459*
     b565 + b459*b566 + b459*b578 + b460*b461 + b460*b462 + b460*b463 + b460*
     b464 + b460*b465 + b460*b466 + b460*b467 + b460*b468 + b460*b469 + b460*
     b470 + b460*b471 + b460*b472 + b460*b473 + b460*b474 + b460*b475 + b460*
     b476 + b460*b477 + b461*b462 + b461*b463 + b461*b464 + b461*b465 + b461*
     b466 + b461*b467 + b461*b468 + b461*b469 + b461*b470 + b461*b471 + b461*
     b472 + b461*b473 + b461*b474 + b461*b475 + b461*b476 + b461*b477 + b461*
     b480 + b461*b498 + b461*b514 + b461*b529 + b461*b543 + b461*b556 + b461*
     b570 + b461*b581 + b461*b591 + b461*b601 + b461*b623 + b462*b463 + b462*
     b464 + b462*b465 + b462*b466 + b462*b467 + b462*b468 + b462*b469 + b462*
     b470 + b462*b471 + b462*b472 + b462*b473 + b462*b474 + b462*b475 + b462*
     b476 + b462*b477 + b463*b464 + b463*b465 + b463*b466 + b463*b467 + b463*
     b468 + b463*b469 + b463*b470 + b463*b471 + b463*b472 + b463*b473 + b463*
     b474 + b463*b475 + b463*b476 + b463*b477 + b463*b482 + b463*b499 + b463*
     b515 + b463*b530 + b463*b544 + b463*b557 + b463*b571 + b463*b582 + b463*
     b592 + b463*b612 + b463*b624 + b464*b465 + b464*b466 + b464*b467 + b464*
     b468 + b464*b469 + b464*b470 + b464*b471 + b464*b472 + b464*b473 + b464*
     b474 + b464*b475 + b464*b476 + b464*b477 + b464*b481 + b465*b466 + b465*
     b467 + b465*b468 + b465*b469 + b465*b470 + b465*b471 + b465*b472 + b465*
     b473 + b465*b474 + b465*b475 + b465*b476 + b465*b477 + b465*b484 + b465*
     b501 + b465*b517 + b465*b532 + b465*b558 + b465*b572 + b465*b583 + b465*
     b593 + b465*b603 + b465*b613 + b465*b625 + b466*b467 + b466*b468 + b466*
     b469 + b466*b470 + b466*b471 + b466*b472 + b466*b473 + b466*b474 + b466*
     b475 + b466*b476 + b466*b477 + b466*b483 + b466*b500 + b466*b516 + b466*
     b531 + b467*b468 + b467*b469 + b467*b470 + b467*b471 + b467*b472 + b467*
     b473 + b467*b474 + b467*b475 + b467*b476 + b467*b477 + b467*b486 + b467*
     b503 + b467*b518 + b467*b533 + b467*b546 + b467*b559 + b467*b573 + b467*
     b584 + b467*b604 + b467*b614 + b467*b626 + b468*b469 + b468*b470 + b468*
     b471 + b468*b472 + b468*b473 + b468*b474 + b468*b475 + b468*b476 + b468*
     b477 + b468*b485 + b468*b502 + b469*b470 + b469*b471 + b469*b472 + b469*
     b473 + b469*b474 + b469*b475 + b469*b476 + b469*b477 + b469*b488 + b469*
     b505 + b469*b520 + b469*b534 + b469*b547 + b469*b574 + b469*b585 + b469*
     b595 + b469*b605 + b469*b615 + b469*b627 + b470*b471 + b470*b472 + b470*
     b473 + b470*b474 + b470*b475 + b470*b476 + b470*b477 + b470*b487 + b470*
     b504 + b470*b519 + b471*b472 + b471*b473 + b471*b474 + b471*b475 + b471*
     b476 + b471*b477 + b471*b490 + b471*b491 + b471*b507 + b471*b522 + b471*
     b549 + b471*b561 + b471*b575 + b471*b586 + b471*b596 + b471*b606 + b471*
     b616 + b471*b619 + b472*b473 + b472*b474 + b472*b475 + b472*b476 + b472*
     b477 + b472*b489 + b472*b506 + b472*b521 + b472*b548 + b473*b474 + b473*
     b475 + b473*b476 + b473*b477 + b473*b489 + b473*b506 + b473*b521 + b473*
     b535 + b473*b548 + b474*b475 + b474*b476 + b474*b477 + b475*b476 + b475*
     b477 + b475*b494 + b475*b525 + b475*b538 + b475*b551 + b475*b563 + b475*
     b565 + b475*b566 + b475*b578 + b476*b477 + b476*b493 + b476*b495 + b476*
     b509 + b476*b524 + b476*b526 + b476*b539 + b476*b540 + b476*b552 + b476*
     b553 + b476*b564 + b476*b577 + b476*b588 + b476*b598 + b476*b608 + b476*
     b618 + b476*b620 + b477*b494 + b477*b510 + b477*b525 + b477*b538 + b477*
     b551 + b477*b563 + b477*b565 + b477*b566 + b477*b578 + b478*b479 + b478*
     b480 + b478*b481 + b478*b482 + b478*b483 + b478*b484 + b478*b485 + b478*
     b486 + b478*b487 + b478*b488 + b478*b489 + b478*b490 + b478*b491 + b478*
     b492 + b478*b493 + b478*b494 + b478*b495 + b479*b480 + b479*b481 + b479*
     b482 + b479*b483 + b479*b484 + b479*b485 + b479*b486 + b479*b487 + b479*
     b488 + b479*b489 + b479*b490 + b479*b491 + b479*b492 + b479*b493 + b479*
     b494 + b479*b495 + b480*b481 + b480*b482 + b480*b483 + b480*b484 + b480*
     b485 + b480*b486 + b480*b487 + b480*b488 + b480*b489 + b480*b490 + b480*
     b491 + b480*b492 + b480*b493 + b480*b494 + b480*b495 + b481*b482 + b481*
     b483 + b481*b484 + b481*b485 + b481*b486 + b481*b487 + b481*b488 + b481*
     b489 + b481*b490 + b481*b491 + b481*b492 + b481*b493 + b481*b494 + b481*
     b495 + b481*b499 + b481*b515 + b481*b530 + b481*b544 + b481*b557 + b481*
     b571 + b481*b582 + b481*b592 + b481*b602 + b481*b624 + b482*b483 + b482*
     b484 + b482*b485 + b482*b486 + b482*b487 + b482*b488 + b482*b489 + b482*
     b490 + b482*b491 + b482*b492 + b482*b493 + b482*b494 + b482*b495 + b483*
     b484 + b483*b485 + b483*b486 + b483*b487 + b483*b488 + b483*b489 + b483*
     b490 + b483*b491 + b483*b492 + b483*b493 + b483*b494 + b483*b495 + b483*
     b501 + b483*b517 + b483*b532 + b483*b545 + b483*b572 + b483*b583 + b483*
     b593 + b483*b603 + b483*b613 + b483*b625 + b484*b485 + b484*b486 + b484*
     b487 + b484*b488 + b484*b489 + b484*b490 + b484*b491 + b484*b492 + b484*
     b493 + b484*b494 + b484*b495 + b484*b500 + b484*b516 + b484*b531 + b485*
     b486 + b485*b487 + b485*b488 + b485*b489 + b485*b490 + b485*b491 + b485*
     b492 + b485*b493 + b485*b494 + b485*b495 + b485*b503 + b485*b518 + b485*
     b533 + b485*b546 + b485*b559 + b485*b573 + b485*b584 + b485*b594 + b485*
     b614 + b485*b626 + b486*b487 + b486*b488 + b486*b489 + b486*b490 + b486*
     b491 + b486*b492 + b486*b493 + b486*b494 + b486*b495 + b486*b502 + b487*
     b488 + b487*b489 + b487*b490 + b487*b491 + b487*b492 + b487*b493 + b487*
     b494 + b487*b495 + b487*b505 + b487*b520 + b487*b534 + b487*b547 + b487*
     b560 + b487*b574 + b487*b585 + b487*b605 + b487*b615 + b487*b627 + b488*
     b489 + b488*b490 + b488*b491 + b488*b492 + b488*b493 + b488*b494 + b488*
     b495 + b488*b504 + b488*b519 + b489*b490 + b489*b491 + b489*b492 + b489*
     b493 + b489*b494 + b489*b495 + b489*b507 + b489*b522 + b489*b536 + b489*
     b561 + b489*b575 + b489*b586 + b489*b596 + b489*b606 + b489*b616 + b489*
     b619 + b490*b491 + b490*b492 + b490*b493 + b490*b494 + b490*b495 + b490*
     b506 + b490*b521 + b490*b535 + b491*b492 + b491*b493 + b491*b494 + b491*
     b495 + b491*b506 + b491*b521 + b491*b535 + b491*b548 + b492*b493 + b492*
     b494 + b492*b495 + b493*b494 + b493*b495 + b493*b510 + b493*b538 + b493*
     b551 + b493*b563 + b493*b565 + b493*b566 + b493*b578 + b494*b495 + b494*
     b509 + b494*b511 + b494*b524 + b494*b539 + b494*b540 + b494*b552 + b494*
     b553 + b494*b564 + b494*b577 + b494*b588 + b494*b598 + b494*b608 + b494*
     b618 + b494*b620 + b495*b510 + b495*b525 + b495*b538 + b495*b551 + b495*
     b563 + b495*b565 + b495*b566 + b495*b578 + b496*b497 + b496*b498 + b496*
     b499 + b496*b500 + b496*b501 + b496*b502 + b496*b503 + b496*b504 + b496*
     b505 + b496*b506 + b496*b507 + b496*b508 + b496*b509 + b496*b510 + b496*
     b511 + b497*b498 + b497*b499 + b497*b500 + b497*b501 + b497*b502 + b497*
     b503 + b497*b504 + b497*b505 + b497*b506 + b497*b507 + b497*b508 + b497*
     b509 + b497*b510 + b497*b511 + b498*b499 + b498*b500 + b498*b501 + b498*
     b502 + b498*b503 + b498*b504 + b498*b505 + b498*b506 + b498*b507 + b498*
     b508 + b498*b509 + b498*b510 + b498*b511 + b499*b500 + b499*b501 + b499*
     b502 + b499*b503 + b499*b504 + b499*b505 + b499*b506 + b499*b507 + b499*
     b508 + b499*b509 + b499*b510 + b499*b511 + b500*b501 + b500*b502 + b500*
     b503 + b500*b504 + b500*b505 + b500*b506 + b500*b507 + b500*b508 + b500*
     b509 + b500*b510 + b500*b511 + b500*b517 + b500*b532 + b500*b545 + b500*
     b558 + b500*b572 + b500*b583 + b500*b603 + b500*b613 + b500*b625 + b501*
     b502 + b501*b503 + b501*b504 + b501*b505 + b501*b506 + b501*b507 + b501*
     b508 + b501*b509 + b501*b510 + b501*b511 + b501*b516 + b501*b531 + b502*
     b503 + b502*b504 + b502*b505 + b502*b506 + b502*b507 + b502*b508 + b502*
     b509 + b502*b510 + b502*b511 + b502*b518 + b502*b533 + b502*b546 + b502*
     b559 + b502*b573 + b502*b584 + b502*b594 + b502*b604 + b502*b626 + b503*
     b504 + b503*b505 + b503*b506 + b503*b507 + b503*b508 + b503*b509 + b503*
     b510 + b503*b511 + b504*b505 + b504*b506 + b504*b507 + b504*b508 + b504*
     b509 + b504*b510 + b504*b511 + b504*b520 + b504*b534 + b504*b547 + b504*
     b560 + b504*b574 + b504*b585 + b504*b595 + b504*b615 + b504*b627 + b505*
     b506 + b505*b507 + b505*b508 + b505*b509 + b505*b510 + b505*b511 + b505*
     b519 + b506*b507 + b506*b508 + b506*b509 + b506*b510 + b506*b511 + b506*
     b522 + b506*b536 + b506*b549 + b506*b575 + b506*b586 + b506*b596 + b506*
     b606 + b506*b616 + b506*b619 + b507*b508 + b507*b509 + b507*b510 + b507*
     b511 + b507*b521 + b507*b535 + b507*b548 + b508*b509 + b508*b510 + b508*
     b511 + b509*b510 + b509*b511 + b509*b525 + b509*b551 + b509*b563 + b509*
     b565 + b509*b566 + b509*b578 + b510*b511 + b510*b524 + b510*b526 + b510*
     b539 + b510*b552 + b510*b553 + b510*b564 + b510*b577 + b510*b588 + b510*
     b598 + b510*b608 + b510*b618 + b510*b620 + b511*b525 + b511*b538 + b511*
     b551 + b511*b563 + b511*b565 + b511*b566 + b511*b578 + b512*b513 + b512*
     b514 + b512*b515 + b512*b516 + b512*b517 + b512*b518 + b512*b519 + b512*
     b520 + b512*b521 + b512*b522 + b512*b523 + b512*b524 + b512*b525 + b512*
     b526 + b513*b514 + b513*b515 + b513*b516 + b513*b517 + b513*b518 + b513*
     b519 + b513*b520 + b513*b521 + b513*b522 + b513*b523 + b513*b524 + b513*
     b525 + b513*b526 + b514*b515 + b514*b516 + b514*b517 + b514*b518 + b514*
     b519 + b514*b520 + b514*b521 + b514*b522 + b514*b523 + b514*b524 + b514*
     b525 + b514*b526 + b515*b516 + b515*b517 + b515*b518 + b515*b519 + b515*
     b520 + b515*b521 + b515*b522 + b515*b523 + b515*b524 + b515*b525 + b515*
     b526 + b516*b517 + b516*b518 + b516*b519 + b516*b520 + b516*b521 + b516*
     b522 + b516*b523 + b516*b524 + b516*b525 + b516*b526 + b516*b532 + b516*
     b545 + b516*b558 + b516*b572 + b516*b583 + b516*b593 + b516*b613 + b516*
     b625 + b517*b518 + b517*b519 + b517*b520 + b517*b521 + b517*b522 + b517*
     b523 + b517*b524 + b517*b525 + b517*b526 + b517*b531 + b518*b519 + b518*
     b520 + b518*b521 + b518*b522 + b518*b523 + b518*b524 + b518*b525 + b518*
     b526 + b519*b520 + b519*b521 + b519*b522 + b519*b523 + b519*b524 + b519*
     b525 + b519*b526 + b519*b534 + b519*b547 + b519*b560 + b519*b574 + b519*
     b585 + b519*b595 + b519*b605 + b519*b627 + b520*b521 + b520*b522 + b520*
     b523 + b520*b524 + b520*b525 + b520*b526 + b521*b522 + b521*b523 + b521*
     b524 + b521*b525 + b521*b526 + b521*b536 + b521*b549 + b521*b561 + b521*
     b575 + b521*b586 + b521*b606 + b521*b616 + b521*b619 + b522*b523 + b522*
     b524 + b522*b525 + b522*b526 + b522*b535 + b522*b548 + b523*b524 + b523*
     b525 + b523*b526 + b524*b525 + b524*b526 + b524*b538 + b524*b563 + b524*
     b565 + b524*b566 + b524*b578 + b525*b526 + b525*b539 + b525*b540 + b525*
     b552 + b525*b564 + b525*b577 + b525*b588 + b525*b598 + b525*b608 + b525*
     b618 + b525*b620 + b526*b538 + b526*b551 + b526*b563 + b526*b565 + b526*
     b566 + b526*b578 + b527*b528 + b527*b529 + b527*b530 + b527*b531 + b527*
     b532 + b527*b533 + b527*b534 + b527*b535 + b527*b536 + b527*b537 + b527*
     b538 + b527*b539 + b527*b540 + b528*b529 + b528*b530 + b528*b531 + b528*
     b532 + b528*b533 + b528*b534 + b528*b535 + b528*b536 + b528*b537 + b528*
     b538 + b528*b539 + b528*b540 + b529*b530 + b529*b531 + b529*b532 + b529*
     b533 + b529*b534 + b529*b535 + b529*b536 + b529*b537 + b529*b538 + b529*
     b539 + b529*b540 + b530*b531 + b530*b532 + b530*b533 + b530*b534 + b530*
     b535 + b530*b536 + b530*b537 + b530*b538 + b530*b539 + b530*b540 + b531*
     b532 + b531*b533 + b531*b534 + b531*b535 + b531*b536 + b531*b537 + b531*
     b538 + b531*b539 + b531*b540 + b531*b545 + b531*b558 + b531*b572 + b531*
     b583 + b531*b593 + b531*b603 + b531*b625 + b532*b533 + b532*b534 + b532*
     b535 + b532*b536 + b532*b537 + b532*b538 + b532*b539 + b532*b540 + b533*
     b534 + b533*b535 + b533*b536 + b533*b537 + b533*b538 + b533*b539 + b533*
     b540 + b534*b535 + b534*b536 + b534*b537 + b534*b538 + b534*b539 + b534*
     b540 + b535*b536 + b535*b537 + b535*b538 + b535*b539 + b535*b540 + b535*
     b549 + b535*b561 + b535*b575 + b535*b586 + b535*b596 + b535*b616 + b535*
     b619 + b536*b537 + b536*b538 + b536*b539 + b536*b540 + b536*b548 + b537*
     b538 + b537*b539 + b537*b540 + b538*b539 + b538*b540 + b538*b552 + b538*
     b553 + b538*b577 + b538*b588 + b538*b598 + b538*b608 + b538*b618 + b538*
     b620 + b539*b540 + b539*b551 + b539*b565 + b539*b566 + b539*b578 + b540*
     b551 + b540*b563 + b540*b565 + b540*b566 + b540*b578 + b541*b542 + b541*
     b543 + b541*b544 + b541*b545 + b541*b546 + b541*b547 + b541*b548 + b541*
     b549 + b541*b550 + b541*b551 + b541*b552 + b541*b553 + b542*b543 + b542*
     b544 + b542*b545 + b542*b546 + b542*b547 + b542*b548 + b542*b549 + b542*
     b550 + b542*b551 + b542*b552 + b542*b553 + b543*b544 + b543*b545 + b543*
     b546 + b543*b547 + b543*b548 + b543*b549 + b543*b550 + b543*b551 + b543*
     b552 + b543*b553 + b544*b545 + b544*b546 + b544*b547 + b544*b548 + b544*
     b549 + b544*b550 + b544*b551 + b544*b552 + b544*b553 + b545*b546 + b545*
     b547 + b545*b548 + b545*b549 + b545*b550 + b545*b551 + b545*b552 + b545*
     b553 + b546*b547 + b546*b548 + b546*b549 + b546*b550 + b546*b551 + b546*
     b552 + b546*b553 + b547*b548 + b547*b549 + b547*b550 + b547*b551 + b547*
     b552 + b547*b553 + b548*b549 + b548*b550 + b548*b551 + b548*b552 + b548*
     b553 + b548*b561 + b548*b575 + b548*b586 + b548*b596 + b548*b606 + b548*
     b619 + b549*b550 + b549*b551 + b549*b552 + b549*b553 + b550*b551 + b550*
     b552 + b550*b553 + b551*b552 + b551*b553 + b551*b564 + b551*b577 + b551*
     b588 + b551*b608 + b551*b618 + b551*b620 + b552*b553 + b552*b563 + b552*
     b565 + b552*b578 + b553*b563 + b553*b565 + b553*b566 + b553*b578 + b554*
     b555 + b554*b556 + b554*b557 + b554*b558 + b554*b559 + b554*b560 + b554*
     b561 + b554*b562 + b554*b563 + b554*b564 + b555*b556 + b555*b557 + b555*
     b558 + b555*b559 + b555*b560 + b555*b561 + b555*b562 + b555*b563 + b555*
     b564 + b556*b557 + b556*b558 + b556*b559 + b556*b560 + b556*b561 + b556*
     b562 + b556*b563 + b556*b564 + b557*b558 + b557*b559 + b557*b560 + b557*
     b561 + b557*b562 + b557*b563 + b557*b564 + b558*b559 + b558*b560 + b558*
     b561 + b558*b562 + b558*b563 + b558*b564 + b559*b560 + b559*b561 + b559*
     b562 + b559*b563 + b559*b564 + b560*b561 + b560*b562 + b560*b563 + b560*
     b564 + b561*b562 + b561*b563 + b561*b564 + b562*b563 + b562*b564 + b563*
     b564 + b563*b577 + b563*b588 + b563*b598 + b563*b618 + b563*b620 + b564*
     b565 + b564*b566 + b564*b578 + b565*b567 + b565*b577 + b565*b579 + b565*
     b580 + b565*b581 + b565*b582 + b565*b583 + b565*b584 + b565*b585 + b565*
     b586 + b565*b587 + b565*b588 + b565*b598 + b565*b608 + b565*b618 + b566*
     b577 + b566*b588 + b566*b589 + b566*b590 + b566*b591 + b566*b592 + b566*
     b593 + b566*b594 + b566*b595 + b566*b596 + b566*b597 + b566*b598 + b566*
     b608 + b566*b620 + b567*b579 + b567*b580 + b567*b581 + b567*b582 + b567*
     b583 + b567*b584 + b567*b585 + b567*b586 + b567*b587 + b567*b588 + b568*
     b569 + b568*b570 + b568*b571 + b568*b572 + b568*b573 + b568*b574 + b568*
     b575 + b568*b576 + b568*b577 + b568*b578 + b569*b570 + b569*b571 + b569*
     b572 + b569*b573 + b569*b574 + b569*b575 + b569*b576 + b569*b577 + b569*
     b578 + b570*b571 + b570*b572 + b570*b573 + b570*b574 + b570*b575 + b570*
     b576 + b570*b577 + b570*b578 + b571*b572 + b571*b573 + b571*b574 + b571*
     b575 + b571*b576 + b571*b577 + b571*b578 + b572*b573 + b572*b574 + b572*
     b575 + b572*b576 + b572*b577 + b572*b578 + b573*b574 + b573*b575 + b573*
     b576 + b573*b577 + b573*b578 + b574*b575 + b574*b576 + b574*b577 + b574*
     b578 + b575*b576 + b575*b577 + b575*b578 + b576*b577 + b576*b578 + b577*
     b578 + b578*b588 + b578*b598 + b578*b608 + b578*b618 + b578*b620 + b579*
     b580 + b579*b581 + b579*b582 + b579*b583 + b579*b584 + b579*b585 + b579*
     b586 + b579*b587 + b579*b588 + b580*b581 + b580*b582 + b580*b583 + b580*
     b584 + b580*b585 + b580*b586 + b580*b587 + b580*b588 + b581*b582 + b581*
     b583 + b581*b584 + b581*b585 + b581*b586 + b581*b587 + b581*b588 + b582*
     b583 + b582*b584 + b582*b585 + b582*b586 + b582*b587 + b582*b588 + b583*
     b584 + b583*b585 + b583*b586 + b583*b587 + b583*b588 + b584*b585 + b584*
     b586 + b584*b587 + b584*b588 + b585*b586 + b585*b587 + b585*b588 + b586*
     b587 + b586*b588 + b587*b588 + b589*b590 + b589*b591 + b589*b592 + b589*
     b593 + b589*b594 + b589*b595 + b589*b596 + b589*b597 + b589*b598 + b590*
     b591 + b590*b592 + b590*b593 + b590*b594 + b590*b595 + b590*b596 + b590*
     b597 + b590*b598 + b591*b592 + b591*b593 + b591*b594 + b591*b595 + b591*
     b596 + b591*b597 + b591*b598 + b592*b593 + b592*b594 + b592*b595 + b592*
     b596 + b592*b597 + b592*b598 + b593*b594 + b593*b595 + b593*b596 + b593*
     b597 + b593*b598 + b594*b595 + b594*b596 + b594*b597 + b594*b598 + b595*
     b596 + b595*b597 + b595*b598 + b596*b597 + b596*b598 + b597*b598 + b599*
     b600 + b599*b601 + b599*b602 + b599*b603 + b599*b604 + b599*b605 + b599*
     b606 + b599*b607 + b599*b608 + b600*b601 + b600*b602 + b600*b603 + b600*
     b604 + b600*b605 + b600*b606 + b600*b607 + b600*b608 + b601*b602 + b601*
     b603 + b601*b604 + b601*b605 + b601*b606 + b601*b607 + b601*b608 + b602*
     b603 + b602*b604 + b602*b605 + b602*b606 + b602*b607 + b602*b608 + b603*
     b604 + b603*b605 + b603*b606 + b603*b607 + b603*b608 + b604*b605 + b604*
     b606 + b604*b607 + b604*b608 + b605*b606 + b605*b607 + b605*b608 + b606*
     b607 + b606*b608 + b607*b608 + b609*b610 + b609*b611 + b609*b612 + b609*
     b613 + b609*b614 + b609*b615 + b609*b616 + b609*b617 + b609*b618 + b610*
     b611 + b610*b612 + b610*b613 + b610*b614 + b610*b615 + b610*b616 + b610*
     b617 + b610*b618 + b611*b612 + b611*b613 + b611*b614 + b611*b615 + b611*
     b616 + b611*b617 + b611*b618 + b612*b613 + b612*b614 + b612*b615 + b612*
     b616 + b612*b617 + b612*b618 + b613*b614 + b613*b615 + b613*b616 + b613*
     b617 + b613*b618 + b614*b615 + b614*b616 + b614*b617 + b614*b618 + b615*
     b616 + b615*b617 + b615*b618 + b616*b617 + b616*b618 + b617*b618 + b619*
     b620 + b619*b621 + b619*b622 + b619*b623 + b619*b624 + b619*b625 + b619*
     b626 + b619*b627 + b619*b628 + b620*b621 + b620*b622 + b620*b623 + b620*
     b624 + b620*b625 + b620*b626 + b620*b627 + b620*b628 + b621*b622 + b621*
     b623 + b621*b624 + b621*b625 + b621*b626 + b621*b627 + b621*b628 + b622*
     b623 + b622*b624 + b622*b625 + b622*b626 + b622*b627 + b622*b628 + b623*
     b624 + b623*b625 + b623*b626 + b623*b627 + b623*b628 + b624*b625 + b624*
     b626 + b624*b627 + b624*b628 + b625*b626 + b625*b627 + b625*b628 + b626*
     b627 + b626*b628 + b627*b628 - objvar =E= 0;

e2..    b38 + b100 + b116 + b131 + b147 + b165 + b183 + b203 + b223 + b245
      + b266 + b288 + b309 + b331 + b352 + b374 + b395 + b417 + b437 + b457
      + b475 + b493 + b509 + b524 + b539 + b552 + b577 + b588 + b620 =E= 1;

e3..    b2 + 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 + b103 =E= 1;

e4..    b36 + b98 + b114 + b129 + b145 + b162 + b180 + b199 + b219 + b241
      + b263 + b285 + b306 + b328 + b349 + b371 + b392 + b413 + b433 + b453
      + b472 + b490 + b575 + b586 + b619 =E= 1;

e5..    b33 + b94 + b110 + b124 + b139 + b156 + b174 + b192 + b212 + b233
      + b255 + b276 + b297 + b319 + b340 + b362 + b384 + b405 + b426 + b446
      + b572 + b583 + b625 =E= 1;

e6..    b35 + b96 + b112 + b127 + b143 + b160 + b178 + b197 + b217 + b238
      + b260 + b282 + b303 + b325 + b346 + b368 + b389 + b410 + b574 + b585
      + b627 =E= 1;

e7..    b34 + b95 + b111 + b125 + b141 + b158 + b176 + b195 + b215 + b236
      + b258 + b279 + b300 + b322 + b343 + b365 + b573 + b584 + b626 =E= 1;

e8..    b32 + b93 + b108 + b122 + b137 + b154 + b172 + b190 + b210 + b231
      + b253 + b274 + b295 + b316 + b571 + b582 + b624 =E= 1;

e9..    b31 + b92 + b107 + b121 + b136 + b152 + b170 + b188 + b208 + b229
      + b251 + b272 + b570 + b581 + b623 =E= 1;

e10..    b37 + b99 + b115 + b130 + b146 + b164 + b182 + b202 + b222 + b244
       + b576 + b587 + b628 =E= 1;

e11..    b29 + b90 + b105 + b119 + b134 + b150 + b168 + b186 + b568 + b579
       + b621 =E= 1;

e12..    b30 + b91 + b106 + b120 + b135 + b151 + b569 + b580 + b622 =E= 1;

e13..    b101 + b117 + b132 + b148 + b166 + b184 + b204 + b224 + b246 + b267
       + b289 + b310 + b332 + b353 + b375 + b396 + b418 + b438 + b458 + b476
       + b494 + b510 + b525 + b538 + b551 + b563 + b565 + b566 + b578 =E= 1;

e14..    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 + b567 =E= 1;

e15..    b97 + b113 + b128 + b144 + b161 + b179 + b198 + b218 + b240 + b262
       + b284 + b305 + b327 + b348 + b370 + b391 + b412 + b432 + b452 + b471
       + b489 + b506 + b521 + b535 + b548 =E= 1;

e16..    b109 + b123 + b138 + b155 + b173 + b191 + b211 + b232 + b254 + b275
       + b296 + b318 + b339 + b361 + b383 + b404 + b425 + b445 + b465 + b483
       + b500 + b516 + b531 =E= 1;

e17..    b126 + b142 + b159 + b177 + b196 + b216 + b237 + b259 + b281 + b302
       + b324 + b345 + b367 + b388 + b409 + b430 + b450 + b469 + b487 + b504
       + b519 =E= 1;

e18..    b140 + b157 + b175 + b194 + b214 + b235 + b257 + b278 + b299 + b321
       + b342 + b364 + b386 + b407 + b428 + b448 + b467 + b485 + b502 =E= 1;

e19..    b153 + b171 + b189 + b209 + b230 + b252 + b273 + b294 + b315 + b337
       + b359 + b381 + b402 + b423 + b443 + b463 + b481 =E= 1;

e20..    b169 + b187 + b207 + b228 + b250 + b271 + b293 + b314 + b336 + b357
       + b379 + b400 + b421 + b441 + b461 =E= 1;

e21..    b201 + b221 + b243 + b265 + b287 + b308 + b330 + b351 + b373 + b394
       + b415 + b435 + b455 =E= 1;

e22..    b206 + b226 + b248 + b269 + b291 + b312 + b334 + b355 + b377 + b398
       + b420 =E= 1;

e23..    b227 + b249 + b270 + b292 + b313 + b335 + b356 + b378 + b399 =E= 1;

e24..    b102 + b118 + b133 + b149 + b167 + b185 + b205 + b225 + b247 + b268
       + b290 + b311 + b333 + b354 + b376 + b397 + b419 + b439 + b459 + b477
       + b495 + b511 + b526 + b540 + b553 + b564 + b598 + b608 + b618 =E= 1;

e25..    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 + b104 =E= 1;

e26..    b163 + b181 + b200 + b220 + b242 + b264 + b286 + b307 + b329 + b350
       + b372 + b393 + b414 + b434 + b454 + b473 + b491 + b507 + b522 + b536
       + b549 + b561 + b596 + b606 + b616 =E= 1;

e27..    b193 + b213 + b234 + b256 + b277 + b298 + b320 + b341 + b363 + b385
       + b406 + b427 + b447 + b466 + b484 + b501 + b517 + b532 + b545 + b558
       + b593 + b603 + b613 =E= 1;

e28..    b239 + b261 + b283 + b304 + b326 + b347 + b369 + b390 + b411 + b431
       + b451 + b470 + b488 + b505 + b520 + b534 + b547 + b560 + b595 + b605
       + b615 =E= 1;

e29..    b280 + b301 + b323 + b344 + b366 + b387 + b408 + b429 + b449 + b468
       + b486 + b503 + b518 + b533 + b546 + b559 + b594 + b604 + b614 =E= 1;

e30..    b317 + b338 + b360 + b382 + b403 + b424 + b444 + b464 + b482 + b499
       + b515 + b530 + b544 + b557 + b592 + b602 + b612 =E= 1;

e31..    b358 + b380 + b401 + b422 + b442 + b462 + b480 + b498 + b514 + b529
       + b543 + b556 + b591 + b601 + b611 =E= 1;

e32..    b416 + b436 + b456 + b474 + b492 + b508 + b523 + b537 + b550 + b562
       + b597 + b607 + b617 =E= 1;

e33..    b440 + b460 + b478 + b496 + b512 + b527 + b541 + b554 + b589 + b599
       + b609 =E= 1;

e34..    b479 + b497 + b513 + b528 + b542 + b555 + b590 + b600 + b610 =E= 1;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

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

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2019-06-04 Git hash: 78444eaa
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