MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: color_lab3_3x0

A generalization of the vertex coloring problem that models the assignment of test variants of a written exam to the desks of a classroom in such a way that desks that are close-by receive different variants.
Formats ams gms lp mod osil pip
Primal Bounds
79.93000000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
15.82881502 (BARON)
15.21500000 (COUENNE)
17.04614150 (LINDO)
37.80023664 (SCIP)
References Duives, Jelle, Lodi, Andrea, and Malaguti, Enrico, Test-assignment: a quadratic coloring problem, Journal of Heuristics, 19:4, 2013, 549-564.
Source QPLIB instance 3931, contributed by Andrea Lodi
Application Coloring
Added to library 18 Aug 2018
Problem type BQP
#Variables 316
#Binary Variables 316
#Integer Variables 0
#Nonlinear Variables 237
#Nonlinear Binary Variables 237
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature indefinite
#Nonzeros in Objective 237
#Nonlinear Nonzeros in Objective 237
#Constraints 80
#Linear Constraints 80
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 395
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 4482
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 2
Minimal blocksize in Hessian of Lagrangian 39
Maximal blocksize in Hessian of Lagrangian 198
Average blocksize in Hessian of Lagrangian 118.5
#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
*         81       81        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        317        1      316        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        633      396      237        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;

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;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81;


e1.. b2*b3 + 0.33*b2*b4 + 0.66*b2*b5 + 0.5*b2*b6 + 0.165*b2*b7 + 0.33*b2*b8 + 
     0.8*b2*b9 + 0.264*b2*b10 + 0.528*b2*b11 + 0.8*b2*b12 + 0.264*b2*b13 + 
     0.528*b2*b14 + 0.3*b2*b15 + 0.099*b2*b16 + 0.198*b2*b17 + b3*b6 + 0.33*b3*
     b7 + 0.66*b3*b8 + 0.8*b3*b9 + 0.264*b3*b10 + 0.528*b3*b11 + 0.8*b3*b12 + 
     0.264*b3*b13 + 0.528*b3*b14 + 0.33*b3*b18 + 0.66*b3*b19 + 0.5*b3*b20 + 
     0.165*b3*b21 + 0.33*b3*b22 + 0.8*b3*b23 + 0.264*b3*b24 + 0.528*b3*b25 + 
     0.33*b4*b6 + b4*b7 + 0.33*b4*b8 + 0.264*b4*b9 + 0.8*b4*b10 + 0.264*b4*b11
      + 0.264*b4*b12 + 0.8*b4*b13 + 0.264*b4*b14 + b4*b18 + 0.33*b4*b19 + 0.165
     *b4*b20 + 0.5*b4*b21 + 0.165*b4*b22 + 0.264*b4*b23 + 0.8*b4*b24 + 0.264*b4
     *b25 + 0.66*b5*b6 + 0.33*b5*b7 + b5*b8 + 0.528*b5*b9 + 0.264*b5*b10 + 0.8*
     b5*b11 + 0.528*b5*b12 + 0.264*b5*b13 + 0.8*b5*b14 + 0.33*b5*b18 + b5*b19
      + 0.33*b5*b20 + 0.165*b5*b21 + 0.5*b5*b22 + 0.528*b5*b23 + 0.264*b5*b24
      + 0.8*b5*b25 + 0.8*b6*b12 + 0.264*b6*b13 + 0.528*b6*b14 + 0.165*b6*b18 + 
     0.33*b6*b19 + b6*b20 + 0.33*b6*b21 + 0.66*b6*b22 + 0.8*b6*b23 + 0.264*b6*
     b24 + 0.528*b6*b25 + 0.8*b6*b26 + 0.264*b6*b27 + 0.528*b6*b28 + 0.264*b7*
     b12 + 0.8*b7*b13 + 0.264*b7*b14 + 0.5*b7*b18 + 0.165*b7*b19 + 0.33*b7*b20
      + b7*b21 + 0.33*b7*b22 + 0.264*b7*b23 + 0.8*b7*b24 + 0.264*b7*b25 + 0.264
     *b7*b26 + 0.8*b7*b27 + 0.264*b7*b28 + 0.528*b8*b12 + 0.264*b8*b13 + 0.8*b8
     *b14 + 0.165*b8*b18 + 0.5*b8*b19 + 0.66*b8*b20 + 0.33*b8*b21 + b8*b22 + 
     0.528*b8*b23 + 0.264*b8*b24 + 0.8*b8*b25 + 0.528*b8*b26 + 0.264*b8*b27 + 
     0.8*b8*b28 + b9*b12 + 0.33*b9*b13 + 0.66*b9*b14 + 0.264*b9*b18 + 0.528*b9*
     b19 + 0.5*b9*b23 + 0.165*b9*b24 + 0.33*b9*b25 + 0.3*b9*b29 + 0.099*b9*b30
      + 0.198*b9*b31 + 0.3*b9*b32 + 0.099*b9*b33 + 0.198*b9*b34 + 0.3*b9*b35 + 
     0.099*b9*b36 + 0.198*b9*b37 + 0.33*b10*b12 + b10*b13 + 0.33*b10*b14 + 0.8*
     b10*b18 + 0.264*b10*b19 + 0.165*b10*b23 + 0.5*b10*b24 + 0.165*b10*b25 + 
     0.099*b10*b29 + 0.3*b10*b30 + 0.099*b10*b31 + 0.099*b10*b32 + 0.3*b10*b33
      + 0.099*b10*b34 + 0.099*b10*b35 + 0.3*b10*b36 + 0.099*b10*b37 + 0.66*b11*
     b12 + 0.33*b11*b13 + b11*b14 + 0.264*b11*b18 + 0.8*b11*b19 + 0.33*b11*b23
      + 0.165*b11*b24 + 0.5*b11*b25 + 0.198*b11*b29 + 0.099*b11*b30 + 0.3*b11*
     b31 + 0.198*b11*b32 + 0.099*b11*b33 + 0.3*b11*b34 + 0.198*b11*b35 + 0.099*
     b11*b36 + 0.3*b11*b37 + 0.264*b12*b18 + 0.528*b12*b19 + b12*b23 + 0.33*b12
     *b24 + 0.66*b12*b25 + 0.5*b12*b26 + 0.165*b12*b27 + 0.33*b12*b28 + 0.3*b12
     *b29 + 0.099*b12*b30 + 0.198*b12*b31 + 0.3*b12*b32 + 0.099*b12*b33 + 0.198
     *b12*b34 + 0.3*b12*b38 + 0.099*b12*b39 + 0.198*b12*b40 + 0.8*b13*b18 + 
     0.264*b13*b19 + 0.33*b13*b23 + b13*b24 + 0.33*b13*b25 + 0.165*b13*b26 + 
     0.5*b13*b27 + 0.165*b13*b28 + 0.099*b13*b29 + 0.3*b13*b30 + 0.099*b13*b31
      + 0.099*b13*b32 + 0.3*b13*b33 + 0.099*b13*b34 + 0.099*b13*b38 + 0.3*b13*
     b39 + 0.099*b13*b40 + 0.264*b14*b18 + 0.8*b14*b19 + 0.66*b14*b23 + 0.33*
     b14*b24 + b14*b25 + 0.33*b14*b26 + 0.165*b14*b27 + 0.5*b14*b28 + 0.198*b14
     *b29 + 0.099*b14*b30 + 0.3*b14*b31 + 0.198*b14*b32 + 0.099*b14*b33 + 0.3*
     b14*b34 + 0.198*b14*b38 + 0.099*b14*b39 + 0.3*b14*b40 + 0.099*b15*b18 + 
     0.198*b15*b19 + 0.8*b15*b35 + 0.264*b15*b36 + 0.528*b15*b37 + 0.3*b15*b41
      + 0.099*b15*b42 + 0.198*b15*b43 + 0.5*b15*b44 + 0.165*b15*b45 + 0.33*b15*
     b46 + 0.3*b15*b47 + 0.099*b15*b48 + 0.198*b15*b49 + b15*b50 + 0.33*b15*b51
      + 0.66*b15*b52 + 0.8*b15*b53 + 0.264*b15*b54 + 0.528*b15*b55 + 0.3*b16*
     b18 + 0.099*b16*b19 + 0.264*b16*b35 + 0.8*b16*b36 + 0.264*b16*b37 + 0.099*
     b16*b41 + 0.3*b16*b42 + 0.099*b16*b43 + 0.165*b16*b44 + 0.5*b16*b45 + 
     0.165*b16*b46 + 0.099*b16*b47 + 0.3*b16*b48 + 0.099*b16*b49 + 0.33*b16*b50
      + b16*b51 + 0.33*b16*b52 + 0.264*b16*b53 + 0.8*b16*b54 + 0.264*b16*b55 + 
     0.099*b17*b18 + 0.3*b17*b19 + 0.528*b17*b35 + 0.264*b17*b36 + 0.8*b17*b37
      + 0.198*b17*b41 + 0.099*b17*b42 + 0.3*b17*b43 + 0.33*b17*b44 + 0.165*b17*
     b45 + 0.5*b17*b46 + 0.198*b17*b47 + 0.099*b17*b48 + 0.3*b17*b49 + 0.66*b17
     *b50 + 0.33*b17*b51 + b17*b52 + 0.528*b17*b53 + 0.264*b17*b54 + 0.8*b17*
     b55 + 0.8*b20*b23 + 0.264*b20*b24 + 0.528*b20*b25 + 0.8*b20*b26 + 0.264*
     b20*b27 + 0.528*b20*b28 + 0.264*b21*b23 + 0.8*b21*b24 + 0.264*b21*b25 + 
     0.264*b21*b26 + 0.8*b21*b27 + 0.264*b21*b28 + 0.528*b22*b23 + 0.264*b22*
     b24 + 0.8*b22*b25 + 0.528*b22*b26 + 0.264*b22*b27 + 0.8*b22*b28 + b23*b26
      + 0.33*b23*b27 + 0.66*b23*b28 + 0.3*b23*b32 + 0.099*b23*b33 + 0.198*b23*
     b34 + 0.3*b23*b38 + 0.099*b23*b39 + 0.198*b23*b40 + 0.3*b23*b56 + 0.099*
     b23*b57 + 0.198*b23*b58 + 0.33*b24*b26 + b24*b27 + 0.33*b24*b28 + 0.099*
     b24*b32 + 0.3*b24*b33 + 0.099*b24*b34 + 0.099*b24*b38 + 0.3*b24*b39 + 
     0.099*b24*b40 + 0.099*b24*b56 + 0.3*b24*b57 + 0.099*b24*b58 + 0.66*b25*b26
      + 0.33*b25*b27 + b25*b28 + 0.198*b25*b32 + 0.099*b25*b33 + 0.3*b25*b34 + 
     0.198*b25*b38 + 0.099*b25*b39 + 0.3*b25*b40 + 0.198*b25*b56 + 0.099*b25*
     b57 + 0.3*b25*b58 + 0.3*b26*b38 + 0.099*b26*b39 + 0.198*b26*b40 + 0.3*b26*
     b56 + 0.099*b26*b57 + 0.198*b26*b58 + 0.099*b27*b38 + 0.3*b27*b39 + 0.099*
     b27*b40 + 0.099*b27*b56 + 0.3*b27*b57 + 0.099*b27*b58 + 0.198*b28*b38 + 
     0.099*b28*b39 + 0.3*b28*b40 + 0.198*b28*b56 + 0.099*b28*b57 + 0.3*b28*b58
      + b29*b32 + 0.33*b29*b33 + 0.66*b29*b34 + 0.5*b29*b38 + 0.165*b29*b39 + 
     0.33*b29*b40 + 0.8*b29*b59 + 0.264*b29*b60 + 0.528*b29*b61 + 0.8*b29*b62
      + 0.264*b29*b63 + 0.528*b29*b64 + 0.3*b29*b65 + 0.099*b29*b66 + 0.198*b29
     *b67 + 0.33*b30*b32 + b30*b33 + 0.33*b30*b34 + 0.165*b30*b38 + 0.5*b30*b39
      + 0.165*b30*b40 + 0.264*b30*b59 + 0.8*b30*b60 + 0.264*b30*b61 + 0.264*b30
     *b62 + 0.8*b30*b63 + 0.264*b30*b64 + 0.099*b30*b65 + 0.3*b30*b66 + 0.099*
     b30*b67 + 0.66*b31*b32 + 0.33*b31*b33 + b31*b34 + 0.33*b31*b38 + 0.165*b31
     *b39 + 0.5*b31*b40 + 0.528*b31*b59 + 0.264*b31*b60 + 0.8*b31*b61 + 0.528*
     b31*b62 + 0.264*b31*b63 + 0.8*b31*b64 + 0.198*b31*b65 + 0.099*b31*b66 + 
     0.3*b31*b67 + b32*b38 + 0.33*b32*b39 + 0.66*b32*b40 + 0.5*b32*b56 + 0.165*
     b32*b57 + 0.33*b32*b58 + 0.8*b32*b59 + 0.264*b32*b60 + 0.528*b32*b61 + 0.8
     *b32*b62 + 0.264*b32*b63 + 0.528*b32*b64 + 0.8*b32*b68 + 0.264*b32*b69 + 
     0.528*b32*b70 + 0.33*b33*b38 + b33*b39 + 0.33*b33*b40 + 0.165*b33*b56 + 
     0.5*b33*b57 + 0.165*b33*b58 + 0.264*b33*b59 + 0.8*b33*b60 + 0.264*b33*b61
      + 0.264*b33*b62 + 0.8*b33*b63 + 0.264*b33*b64 + 0.264*b33*b68 + 0.8*b33*
     b69 + 0.264*b33*b70 + 0.66*b34*b38 + 0.33*b34*b39 + b34*b40 + 0.33*b34*b56
      + 0.165*b34*b57 + 0.5*b34*b58 + 0.528*b34*b59 + 0.264*b34*b60 + 0.8*b34*
     b61 + 0.528*b34*b62 + 0.264*b34*b63 + 0.8*b34*b64 + 0.528*b34*b68 + 0.264*
     b34*b69 + 0.8*b34*b70 + 0.8*b35*b50 + 0.264*b35*b51 + 0.528*b35*b52 + b35*
     b53 + 0.33*b35*b54 + 0.66*b35*b55 + 0.3*b35*b65 + 0.099*b35*b66 + 0.198*
     b35*b67 + 0.5*b35*b71 + 0.165*b35*b72 + 0.33*b35*b73 + 0.3*b35*b74 + 0.099
     *b35*b75 + 0.198*b35*b76 + 0.264*b36*b50 + 0.8*b36*b51 + 0.264*b36*b52 + 
     0.33*b36*b53 + b36*b54 + 0.33*b36*b55 + 0.099*b36*b65 + 0.3*b36*b66 + 
     0.099*b36*b67 + 0.165*b36*b71 + 0.5*b36*b72 + 0.165*b36*b73 + 0.099*b36*
     b74 + 0.3*b36*b75 + 0.099*b36*b76 + 0.528*b37*b50 + 0.264*b37*b51 + 0.8*
     b37*b52 + 0.66*b37*b53 + 0.33*b37*b54 + b37*b55 + 0.198*b37*b65 + 0.099*
     b37*b66 + 0.3*b37*b67 + 0.33*b37*b71 + 0.165*b37*b72 + 0.5*b37*b73 + 0.198
     *b37*b74 + 0.099*b37*b75 + 0.3*b37*b76 + b38*b56 + 0.33*b38*b57 + 0.66*b38
     *b58 + 0.8*b38*b62 + 0.264*b38*b63 + 0.528*b38*b64 + 0.8*b38*b68 + 0.264*
     b38*b69 + 0.528*b38*b70 + 0.8*b38*b77 + 0.264*b38*b78 + 0.528*b38*b79 + 
     0.33*b39*b56 + b39*b57 + 0.33*b39*b58 + 0.264*b39*b62 + 0.8*b39*b63 + 
     0.264*b39*b64 + 0.264*b39*b68 + 0.8*b39*b69 + 0.264*b39*b70 + 0.264*b39*
     b77 + 0.8*b39*b78 + 0.264*b39*b79 + 0.66*b40*b56 + 0.33*b40*b57 + b40*b58
      + 0.528*b40*b62 + 0.264*b40*b63 + 0.8*b40*b64 + 0.528*b40*b68 + 0.264*b40
     *b69 + 0.8*b40*b70 + 0.528*b40*b77 + 0.264*b40*b78 + 0.8*b40*b79 + 0.3*b41
     *b44 + 0.099*b41*b45 + 0.198*b41*b46 + b41*b47 + 0.33*b41*b48 + 0.66*b41*
     b49 + 0.3*b41*b50 + 0.099*b41*b51 + 0.198*b41*b52 + 0.5*b41*b80 + b41*b81
      + 0.33*b41*b82 + 0.66*b41*b83 + 0.165*b41*b84 + 0.33*b41*b85 + 0.099*b42*
     b44 + 0.3*b42*b45 + 0.099*b42*b46 + 0.33*b42*b47 + b42*b48 + 0.33*b42*b49
      + 0.099*b42*b50 + 0.3*b42*b51 + 0.099*b42*b52 + 0.165*b42*b80 + 0.33*b42*
     b81 + b42*b82 + 0.33*b42*b83 + 0.5*b42*b84 + 0.165*b42*b85 + 0.198*b43*b44
      + 0.099*b43*b45 + 0.3*b43*b46 + 0.66*b43*b47 + 0.33*b43*b48 + b43*b49 + 
     0.198*b43*b50 + 0.099*b43*b51 + 0.3*b43*b52 + 0.33*b43*b80 + 0.66*b43*b81
      + 0.33*b43*b82 + b43*b83 + 0.165*b43*b84 + 0.5*b43*b85 + b44*b50 + 0.33*
     b44*b51 + 0.66*b44*b52 + 0.8*b44*b53 + 0.264*b44*b54 + 0.528*b44*b55 + 0.8
     *b44*b71 + 0.264*b44*b72 + 0.528*b44*b73 + 0.3*b44*b80 + 0.3*b44*b81 + 
     0.099*b44*b82 + 0.198*b44*b83 + 0.099*b44*b84 + 0.198*b44*b85 + b44*b86 + 
     0.33*b44*b87 + 0.66*b44*b88 + 0.8*b44*b89 + 0.264*b44*b90 + 0.528*b44*b91
      + 0.33*b45*b50 + b45*b51 + 0.33*b45*b52 + 0.264*b45*b53 + 0.8*b45*b54 + 
     0.264*b45*b55 + 0.264*b45*b71 + 0.8*b45*b72 + 0.264*b45*b73 + 0.099*b45*
     b80 + 0.099*b45*b81 + 0.3*b45*b82 + 0.099*b45*b83 + 0.3*b45*b84 + 0.099*
     b45*b85 + 0.33*b45*b86 + b45*b87 + 0.33*b45*b88 + 0.264*b45*b89 + 0.8*b45*
     b90 + 0.264*b45*b91 + 0.66*b46*b50 + 0.33*b46*b51 + b46*b52 + 0.528*b46*
     b53 + 0.264*b46*b54 + 0.8*b46*b55 + 0.528*b46*b71 + 0.264*b46*b72 + 0.8*
     b46*b73 + 0.198*b46*b80 + 0.198*b46*b81 + 0.099*b46*b82 + 0.3*b46*b83 + 
     0.099*b46*b84 + 0.3*b46*b85 + 0.66*b46*b86 + 0.33*b46*b87 + b46*b88 + 
     0.528*b46*b89 + 0.264*b46*b90 + 0.8*b46*b91 + 0.3*b47*b50 + 0.099*b47*b51
      + 0.198*b47*b52 + 0.5*b47*b81 + 0.165*b47*b82 + 0.33*b47*b83 + 0.099*b48*
     b50 + 0.3*b48*b51 + 0.099*b48*b52 + 0.165*b48*b81 + 0.5*b48*b82 + 0.165*
     b48*b83 + 0.198*b49*b50 + 0.099*b49*b51 + 0.3*b49*b52 + 0.33*b49*b81 + 
     0.165*b49*b82 + 0.5*b49*b83 + 0.8*b50*b53 + 0.264*b50*b54 + 0.528*b50*b55
      + 0.8*b50*b71 + 0.264*b50*b72 + 0.528*b50*b73 + 0.3*b50*b81 + 0.099*b50*
     b82 + 0.198*b50*b83 + 0.5*b50*b86 + 0.165*b50*b87 + 0.33*b50*b88 + 0.264*
     b51*b53 + 0.8*b51*b54 + 0.264*b51*b55 + 0.264*b51*b71 + 0.8*b51*b72 + 
     0.264*b51*b73 + 0.099*b51*b81 + 0.3*b51*b82 + 0.099*b51*b83 + 0.165*b51*
     b86 + 0.5*b51*b87 + 0.165*b51*b88 + 0.528*b52*b53 + 0.264*b52*b54 + 0.8*
     b52*b55 + 0.528*b52*b71 + 0.264*b52*b72 + 0.8*b52*b73 + 0.198*b52*b81 + 
     0.099*b52*b82 + 0.3*b52*b83 + 0.33*b52*b86 + 0.165*b52*b87 + 0.5*b52*b88
      + 0.3*b53*b65 + 0.099*b53*b66 + 0.198*b53*b67 + b53*b71 + 0.33*b53*b72 + 
     0.66*b53*b73 + 0.3*b53*b74 + 0.099*b53*b75 + 0.198*b53*b76 + 0.5*b53*b89
      + 0.165*b53*b90 + 0.33*b53*b91 + 0.3*b53*b92 + 0.099*b53*b93 + 0.198*b53*
     b94 + 0.099*b54*b65 + 0.3*b54*b66 + 0.099*b54*b67 + 0.33*b54*b71 + b54*b72
      + 0.33*b54*b73 + 0.099*b54*b74 + 0.3*b54*b75 + 0.099*b54*b76 + 0.165*b54*
     b89 + 0.5*b54*b90 + 0.165*b54*b91 + 0.099*b54*b92 + 0.3*b54*b93 + 0.099*
     b54*b94 + 0.198*b55*b65 + 0.099*b55*b66 + 0.3*b55*b67 + 0.66*b55*b71 + 
     0.33*b55*b72 + b55*b73 + 0.198*b55*b74 + 0.099*b55*b75 + 0.3*b55*b76 + 
     0.33*b55*b89 + 0.165*b55*b90 + 0.5*b55*b91 + 0.198*b55*b92 + 0.099*b55*b93
      + 0.3*b55*b94 + 0.8*b56*b68 + 0.264*b56*b69 + 0.528*b56*b70 + 0.8*b56*b77
      + 0.264*b56*b78 + 0.528*b56*b79 + 0.264*b57*b68 + 0.8*b57*b69 + 0.264*b57
     *b70 + 0.264*b57*b77 + 0.8*b57*b78 + 0.264*b57*b79 + 0.528*b58*b68 + 0.264
     *b58*b69 + 0.8*b58*b70 + 0.528*b58*b77 + 0.264*b58*b78 + 0.8*b58*b79 + b59
     *b62 + 0.33*b59*b63 + 0.66*b59*b64 + 0.5*b59*b68 + 0.165*b59*b69 + 0.33*
     b59*b70 + 0.3*b59*b95 + 0.099*b59*b96 + 0.198*b59*b97 + 0.3*b59*b98 + 
     0.099*b59*b99 + 0.198*b59*b100 + 0.33*b60*b62 + b60*b63 + 0.33*b60*b64 + 
     0.165*b60*b68 + 0.5*b60*b69 + 0.165*b60*b70 + 0.099*b60*b95 + 0.3*b60*b96
      + 0.099*b60*b97 + 0.099*b60*b98 + 0.3*b60*b99 + 0.099*b60*b100 + 0.66*b61
     *b62 + 0.33*b61*b63 + b61*b64 + 0.33*b61*b68 + 0.165*b61*b69 + 0.5*b61*b70
      + 0.198*b61*b95 + 0.099*b61*b96 + 0.3*b61*b97 + 0.198*b61*b98 + 0.099*b61
     *b99 + 0.3*b61*b100 + b62*b68 + 0.33*b62*b69 + 0.66*b62*b70 + 0.5*b62*b77
      + 0.165*b62*b78 + 0.33*b62*b79 + 0.3*b62*b95 + 0.099*b62*b96 + 0.198*b62*
     b97 + 0.33*b63*b68 + b63*b69 + 0.33*b63*b70 + 0.165*b63*b77 + 0.5*b63*b78
      + 0.165*b63*b79 + 0.099*b63*b95 + 0.3*b63*b96 + 0.099*b63*b97 + 0.66*b64*
     b68 + 0.33*b64*b69 + b64*b70 + 0.33*b64*b77 + 0.165*b64*b78 + 0.5*b64*b79
      + 0.198*b64*b95 + 0.099*b64*b96 + 0.3*b64*b97 + b65*b74 + 0.33*b65*b75 + 
     0.66*b65*b76 + 0.5*b65*b92 + 0.165*b65*b93 + 0.33*b65*b94 + 0.8*b65*b98 + 
     0.264*b65*b99 + 0.528*b65*b100 + 0.8*b65*b101 + 0.264*b65*b102 + 0.528*b65
     *b103 + 0.33*b66*b74 + b66*b75 + 0.33*b66*b76 + 0.165*b66*b92 + 0.5*b66*
     b93 + 0.165*b66*b94 + 0.264*b66*b98 + 0.8*b66*b99 + 0.264*b66*b100 + 0.264
     *b66*b101 + 0.8*b66*b102 + 0.264*b66*b103 + 0.66*b67*b74 + 0.33*b67*b75 + 
     b67*b76 + 0.33*b67*b92 + 0.165*b67*b93 + 0.5*b67*b94 + 0.528*b67*b98 + 
     0.264*b67*b99 + 0.8*b67*b100 + 0.528*b67*b101 + 0.264*b67*b102 + 0.8*b67*
     b103 + b68*b77 + 0.33*b68*b78 + 0.66*b68*b79 + 0.3*b68*b104 + 0.099*b68*
     b105 + 0.198*b68*b106 + 0.33*b69*b77 + b69*b78 + 0.33*b69*b79 + 0.099*b69*
     b104 + 0.3*b69*b105 + 0.099*b69*b106 + 0.66*b70*b77 + 0.33*b70*b78 + b70*
     b79 + 0.198*b70*b104 + 0.099*b70*b105 + 0.3*b70*b106 + 0.3*b71*b74 + 0.099
     *b71*b75 + 0.198*b71*b76 + 0.8*b71*b86 + 0.264*b71*b87 + 0.528*b71*b88 + 
     b71*b89 + 0.33*b71*b90 + 0.66*b71*b91 + 0.3*b71*b92 + 0.099*b71*b93 + 
     0.198*b71*b94 + 0.3*b71*b107 + 0.099*b71*b108 + 0.198*b71*b109 + 0.099*b72
     *b74 + 0.3*b72*b75 + 0.099*b72*b76 + 0.264*b72*b86 + 0.8*b72*b87 + 0.264*
     b72*b88 + 0.33*b72*b89 + b72*b90 + 0.33*b72*b91 + 0.099*b72*b92 + 0.3*b72*
     b93 + 0.099*b72*b94 + 0.099*b72*b107 + 0.3*b72*b108 + 0.099*b72*b109 + 
     0.198*b73*b74 + 0.099*b73*b75 + 0.3*b73*b76 + 0.528*b73*b86 + 0.264*b73*
     b87 + 0.8*b73*b88 + 0.66*b73*b89 + 0.33*b73*b90 + b73*b91 + 0.198*b73*b92
      + 0.099*b73*b93 + 0.3*b73*b94 + 0.198*b73*b107 + 0.099*b73*b108 + 0.3*b73
     *b109 + b74*b92 + 0.33*b74*b93 + 0.66*b74*b94 + 0.8*b74*b98 + 0.264*b74*
     b99 + 0.528*b74*b100 + 0.8*b74*b101 + 0.264*b74*b102 + 0.528*b74*b103 + 
     0.5*b74*b107 + 0.165*b74*b108 + 0.33*b74*b109 + 0.8*b74*b110 + 0.264*b74*
     b111 + 0.528*b74*b112 + 0.33*b75*b92 + b75*b93 + 0.33*b75*b94 + 0.264*b75*
     b98 + 0.8*b75*b99 + 0.264*b75*b100 + 0.264*b75*b101 + 0.8*b75*b102 + 0.264
     *b75*b103 + 0.165*b75*b107 + 0.5*b75*b108 + 0.165*b75*b109 + 0.264*b75*
     b110 + 0.8*b75*b111 + 0.264*b75*b112 + 0.66*b76*b92 + 0.33*b76*b93 + b76*
     b94 + 0.528*b76*b98 + 0.264*b76*b99 + 0.8*b76*b100 + 0.528*b76*b101 + 
     0.264*b76*b102 + 0.8*b76*b103 + 0.33*b76*b107 + 0.165*b76*b108 + 0.5*b76*
     b109 + 0.528*b76*b110 + 0.264*b76*b111 + 0.8*b76*b112 + 0.3*b77*b104 + 
     0.099*b77*b105 + 0.198*b77*b106 + 0.099*b78*b104 + 0.3*b78*b105 + 0.099*
     b78*b106 + 0.198*b79*b104 + 0.099*b79*b105 + 0.3*b79*b106 + b80*b81 + 0.33
     *b80*b82 + 0.66*b80*b83 + 0.3*b80*b86 + 0.099*b80*b87 + 0.198*b80*b88 + 
     0.33*b81*b84 + 0.66*b81*b85 + 0.3*b81*b86 + 0.099*b81*b87 + 0.198*b81*b88
      + b82*b84 + 0.33*b82*b85 + 0.099*b82*b86 + 0.3*b82*b87 + 0.099*b82*b88 + 
     0.33*b83*b84 + b83*b85 + 0.198*b83*b86 + 0.099*b83*b87 + 0.3*b83*b88 + 
     0.099*b84*b86 + 0.3*b84*b87 + 0.099*b84*b88 + 0.198*b85*b86 + 0.099*b85*
     b87 + 0.3*b85*b88 + 0.8*b86*b89 + 0.264*b86*b90 + 0.528*b86*b91 + 0.264*
     b87*b89 + 0.8*b87*b90 + 0.264*b87*b91 + 0.528*b88*b89 + 0.264*b88*b90 + 
     0.8*b88*b91 + 0.3*b89*b92 + 0.099*b89*b93 + 0.198*b89*b94 + 0.3*b89*b107
      + 0.099*b89*b108 + 0.198*b89*b109 + 0.099*b90*b92 + 0.3*b90*b93 + 0.099*
     b90*b94 + 0.099*b90*b107 + 0.3*b90*b108 + 0.099*b90*b109 + 0.198*b91*b92
      + 0.099*b91*b93 + 0.3*b91*b94 + 0.198*b91*b107 + 0.099*b91*b108 + 0.3*b91
     *b109 + 0.8*b92*b101 + 0.264*b92*b102 + 0.528*b92*b103 + b92*b107 + 0.33*
     b92*b108 + 0.66*b92*b109 + 0.8*b92*b110 + 0.264*b92*b111 + 0.528*b92*b112
      + 0.8*b92*b113 + 0.264*b92*b114 + 0.528*b92*b115 + 0.264*b93*b101 + 0.8*
     b93*b102 + 0.264*b93*b103 + 0.33*b93*b107 + b93*b108 + 0.33*b93*b109 + 
     0.264*b93*b110 + 0.8*b93*b111 + 0.264*b93*b112 + 0.264*b93*b113 + 0.8*b93*
     b114 + 0.264*b93*b115 + 0.528*b94*b101 + 0.264*b94*b102 + 0.8*b94*b103 + 
     0.66*b94*b107 + 0.33*b94*b108 + b94*b109 + 0.528*b94*b110 + 0.264*b94*b111
      + 0.8*b94*b112 + 0.528*b94*b113 + 0.264*b94*b114 + 0.8*b94*b115 + 0.8*b95
     *b116 + 0.264*b95*b117 + 0.528*b95*b118 + 0.8*b95*b119 + 0.264*b95*b120 + 
     0.528*b95*b121 + 0.3*b95*b122 + 0.099*b95*b123 + 0.198*b95*b124 + 0.264*
     b96*b116 + 0.8*b96*b117 + 0.264*b96*b118 + 0.264*b96*b119 + 0.8*b96*b120
      + 0.264*b96*b121 + 0.099*b96*b122 + 0.3*b96*b123 + 0.099*b96*b124 + 0.528
     *b97*b116 + 0.264*b97*b117 + 0.8*b97*b118 + 0.528*b97*b119 + 0.264*b97*
     b120 + 0.8*b97*b121 + 0.198*b97*b122 + 0.099*b97*b123 + 0.3*b97*b124 + b98
     *b101 + 0.33*b98*b102 + 0.66*b98*b103 + 0.5*b98*b110 + 0.165*b98*b111 + 
     0.33*b98*b112 + 0.3*b98*b122 + 0.099*b98*b123 + 0.198*b98*b124 + 0.3*b98*
     b125 + 0.099*b98*b126 + 0.198*b98*b127 + 0.33*b99*b101 + b99*b102 + 0.33*
     b99*b103 + 0.165*b99*b110 + 0.5*b99*b111 + 0.165*b99*b112 + 0.099*b99*b122
      + 0.3*b99*b123 + 0.099*b99*b124 + 0.099*b99*b125 + 0.3*b99*b126 + 0.099*
     b99*b127 + 0.66*b100*b101 + 0.33*b100*b102 + b100*b103 + 0.33*b100*b110 + 
     0.165*b100*b111 + 0.5*b100*b112 + 0.198*b100*b122 + 0.099*b100*b123 + 0.3*
     b100*b124 + 0.198*b100*b125 + 0.099*b100*b126 + 0.3*b100*b127 + b101*b110
      + 0.33*b101*b111 + 0.66*b101*b112 + 0.5*b101*b113 + 0.165*b101*b114 + 
     0.33*b101*b115 + 0.3*b101*b122 + 0.099*b101*b123 + 0.198*b101*b124 + 0.3*
     b101*b125 + 0.099*b101*b126 + 0.198*b101*b127 + 0.3*b101*b128 + 0.099*b101
     *b129 + 0.198*b101*b130 + 0.33*b102*b110 + b102*b111 + 0.33*b102*b112 + 
     0.165*b102*b113 + 0.5*b102*b114 + 0.165*b102*b115 + 0.099*b102*b122 + 0.3*
     b102*b123 + 0.099*b102*b124 + 0.099*b102*b125 + 0.3*b102*b126 + 0.099*b102
     *b127 + 0.099*b102*b128 + 0.3*b102*b129 + 0.099*b102*b130 + 0.66*b103*b110
      + 0.33*b103*b111 + b103*b112 + 0.33*b103*b113 + 0.165*b103*b114 + 0.5*
     b103*b115 + 0.198*b103*b122 + 0.099*b103*b123 + 0.3*b103*b124 + 0.198*b103
     *b125 + 0.099*b103*b126 + 0.3*b103*b127 + 0.198*b103*b128 + 0.099*b103*
     b129 + 0.3*b103*b130 + 0.8*b104*b131 + 0.264*b104*b132 + 0.528*b104*b133
      + 0.8*b104*b134 + 0.264*b104*b135 + 0.528*b104*b136 + 0.264*b105*b131 + 
     0.8*b105*b132 + 0.264*b105*b133 + 0.264*b105*b134 + 0.8*b105*b135 + 0.264*
     b105*b136 + 0.528*b106*b131 + 0.264*b106*b132 + 0.8*b106*b133 + 0.528*b106
     *b134 + 0.264*b106*b135 + 0.8*b106*b136 + 0.8*b107*b110 + 0.264*b107*b111
      + 0.528*b107*b112 + 0.8*b107*b113 + 0.264*b107*b114 + 0.528*b107*b115 + 
     0.264*b108*b110 + 0.8*b108*b111 + 0.264*b108*b112 + 0.264*b108*b113 + 0.8*
     b108*b114 + 0.264*b108*b115 + 0.528*b109*b110 + 0.264*b109*b111 + 0.8*b109
     *b112 + 0.528*b109*b113 + 0.264*b109*b114 + 0.8*b109*b115 + b110*b113 + 
     0.33*b110*b114 + 0.66*b110*b115 + 0.3*b110*b125 + 0.099*b110*b126 + 0.198*
     b110*b127 + 0.3*b110*b128 + 0.099*b110*b129 + 0.198*b110*b130 + 0.3*b110*
     b137 + 0.099*b110*b138 + 0.198*b110*b139 + 0.33*b111*b113 + b111*b114 + 
     0.33*b111*b115 + 0.099*b111*b125 + 0.3*b111*b126 + 0.099*b111*b127 + 0.099
     *b111*b128 + 0.3*b111*b129 + 0.099*b111*b130 + 0.099*b111*b137 + 0.3*b111*
     b138 + 0.099*b111*b139 + 0.66*b112*b113 + 0.33*b112*b114 + b112*b115 + 
     0.198*b112*b125 + 0.099*b112*b126 + 0.3*b112*b127 + 0.198*b112*b128 + 
     0.099*b112*b129 + 0.3*b112*b130 + 0.198*b112*b137 + 0.099*b112*b138 + 0.3*
     b112*b139 + 0.3*b113*b128 + 0.099*b113*b129 + 0.198*b113*b130 + 0.3*b113*
     b137 + 0.099*b113*b138 + 0.198*b113*b139 + 0.099*b114*b128 + 0.3*b114*b129
      + 0.099*b114*b130 + 0.099*b114*b137 + 0.3*b114*b138 + 0.099*b114*b139 + 
     0.198*b115*b128 + 0.099*b115*b129 + 0.3*b115*b130 + 0.198*b115*b137 + 
     0.099*b115*b138 + 0.3*b115*b139 + b116*b119 + 0.33*b116*b120 + 0.66*b116*
     b121 + 0.5*b116*b134 + 0.165*b116*b135 + 0.33*b116*b136 + 0.3*b116*b140 + 
     0.099*b116*b141 + 0.198*b116*b142 + 0.3*b116*b143 + 0.099*b116*b144 + 
     0.198*b116*b145 + 0.3*b116*b146 + 0.099*b116*b147 + 0.198*b116*b148 + 0.33
     *b117*b119 + b117*b120 + 0.33*b117*b121 + 0.165*b117*b134 + 0.5*b117*b135
      + 0.165*b117*b136 + 0.099*b117*b140 + 0.3*b117*b141 + 0.099*b117*b142 + 
     0.099*b117*b143 + 0.3*b117*b144 + 0.099*b117*b145 + 0.099*b117*b146 + 0.3*
     b117*b147 + 0.099*b117*b148 + 0.66*b118*b119 + 0.33*b118*b120 + b118*b121
      + 0.33*b118*b134 + 0.165*b118*b135 + 0.5*b118*b136 + 0.198*b118*b140 + 
     0.099*b118*b141 + 0.3*b118*b142 + 0.198*b118*b143 + 0.099*b118*b144 + 0.3*
     b118*b145 + 0.198*b118*b146 + 0.099*b118*b147 + 0.3*b118*b148 + 0.5*b119*
     b131 + 0.165*b119*b132 + 0.33*b119*b133 + b119*b134 + 0.33*b119*b135 + 
     0.66*b119*b136 + 0.3*b119*b140 + 0.099*b119*b141 + 0.198*b119*b142 + 0.3*
     b119*b143 + 0.099*b119*b144 + 0.198*b119*b145 + 0.3*b119*b149 + 0.099*b119
     *b150 + 0.198*b119*b151 + 0.165*b120*b131 + 0.5*b120*b132 + 0.165*b120*
     b133 + 0.33*b120*b134 + b120*b135 + 0.33*b120*b136 + 0.099*b120*b140 + 0.3
     *b120*b141 + 0.099*b120*b142 + 0.099*b120*b143 + 0.3*b120*b144 + 0.099*
     b120*b145 + 0.099*b120*b149 + 0.3*b120*b150 + 0.099*b120*b151 + 0.33*b121*
     b131 + 0.165*b121*b132 + 0.5*b121*b133 + 0.66*b121*b134 + 0.33*b121*b135
      + b121*b136 + 0.198*b121*b140 + 0.099*b121*b141 + 0.3*b121*b142 + 0.198*
     b121*b143 + 0.099*b121*b144 + 0.3*b121*b145 + 0.198*b121*b149 + 0.099*b121
     *b150 + 0.3*b121*b151 + b122*b125 + 0.33*b122*b126 + 0.66*b122*b127 + 0.5*
     b122*b128 + 0.165*b122*b129 + 0.33*b122*b130 + 0.8*b122*b146 + 0.264*b122*
     b147 + 0.528*b122*b148 + 0.8*b122*b152 + 0.264*b122*b153 + 0.528*b122*b154
      + 0.33*b123*b125 + b123*b126 + 0.33*b123*b127 + 0.165*b123*b128 + 0.5*
     b123*b129 + 0.165*b123*b130 + 0.264*b123*b146 + 0.8*b123*b147 + 0.264*b123
     *b148 + 0.264*b123*b152 + 0.8*b123*b153 + 0.264*b123*b154 + 0.66*b124*b125
      + 0.33*b124*b126 + b124*b127 + 0.33*b124*b128 + 0.165*b124*b129 + 0.5*
     b124*b130 + 0.528*b124*b146 + 0.264*b124*b147 + 0.8*b124*b148 + 0.528*b124
     *b152 + 0.264*b124*b153 + 0.8*b124*b154 + b125*b128 + 0.33*b125*b129 + 
     0.66*b125*b130 + 0.5*b125*b137 + 0.165*b125*b138 + 0.33*b125*b139 + 0.8*
     b125*b146 + 0.264*b125*b147 + 0.528*b125*b148 + 0.8*b125*b152 + 0.264*b125
     *b153 + 0.528*b125*b154 + 0.8*b125*b155 + 0.264*b125*b156 + 0.528*b125*
     b157 + 0.33*b126*b128 + b126*b129 + 0.33*b126*b130 + 0.165*b126*b137 + 0.5
     *b126*b138 + 0.165*b126*b139 + 0.264*b126*b146 + 0.8*b126*b147 + 0.264*
     b126*b148 + 0.264*b126*b152 + 0.8*b126*b153 + 0.264*b126*b154 + 0.264*b126
     *b155 + 0.8*b126*b156 + 0.264*b126*b157 + 0.66*b127*b128 + 0.33*b127*b129
      + b127*b130 + 0.33*b127*b137 + 0.165*b127*b138 + 0.5*b127*b139 + 0.528*
     b127*b146 + 0.264*b127*b147 + 0.8*b127*b148 + 0.528*b127*b152 + 0.264*b127
     *b153 + 0.8*b127*b154 + 0.528*b127*b155 + 0.264*b127*b156 + 0.8*b127*b157
      + b128*b137 + 0.33*b128*b138 + 0.66*b128*b139 + 0.8*b128*b152 + 0.264*
     b128*b153 + 0.528*b128*b154 + 0.8*b128*b155 + 0.264*b128*b156 + 0.528*b128
     *b157 + 0.8*b128*b158 + 0.264*b128*b159 + 0.528*b128*b160 + 0.33*b129*b137
      + b129*b138 + 0.33*b129*b139 + 0.264*b129*b152 + 0.8*b129*b153 + 0.264*
     b129*b154 + 0.264*b129*b155 + 0.8*b129*b156 + 0.264*b129*b157 + 0.264*b129
     *b158 + 0.8*b129*b159 + 0.264*b129*b160 + 0.66*b130*b137 + 0.33*b130*b138
      + b130*b139 + 0.528*b130*b152 + 0.264*b130*b153 + 0.8*b130*b154 + 0.528*
     b130*b155 + 0.264*b130*b156 + 0.8*b130*b157 + 0.528*b130*b158 + 0.264*b130
     *b159 + 0.8*b130*b160 + b131*b134 + 0.33*b131*b135 + 0.66*b131*b136 + 0.3*
     b131*b149 + 0.099*b131*b150 + 0.198*b131*b151 + 0.3*b131*b161 + 0.099*b131
     *b162 + 0.198*b131*b163 + 0.33*b132*b134 + b132*b135 + 0.33*b132*b136 + 
     0.099*b132*b149 + 0.3*b132*b150 + 0.099*b132*b151 + 0.099*b132*b161 + 0.3*
     b132*b162 + 0.099*b132*b163 + 0.66*b133*b134 + 0.33*b133*b135 + b133*b136
      + 0.198*b133*b149 + 0.099*b133*b150 + 0.3*b133*b151 + 0.198*b133*b161 + 
     0.099*b133*b162 + 0.3*b133*b163 + 0.3*b134*b140 + 0.099*b134*b141 + 0.198*
     b134*b142 + 0.3*b134*b149 + 0.099*b134*b150 + 0.198*b134*b151 + 0.3*b134*
     b161 + 0.099*b134*b162 + 0.198*b134*b163 + 0.099*b135*b140 + 0.3*b135*b141
      + 0.099*b135*b142 + 0.099*b135*b149 + 0.3*b135*b150 + 0.099*b135*b151 + 
     0.099*b135*b161 + 0.3*b135*b162 + 0.099*b135*b163 + 0.198*b136*b140 + 
     0.099*b136*b141 + 0.3*b136*b142 + 0.198*b136*b149 + 0.099*b136*b150 + 0.3*
     b136*b151 + 0.198*b136*b161 + 0.099*b136*b162 + 0.3*b136*b163 + 0.8*b137*
     b155 + 0.264*b137*b156 + 0.528*b137*b157 + 0.8*b137*b158 + 0.264*b137*b159
      + 0.528*b137*b160 + 0.264*b138*b155 + 0.8*b138*b156 + 0.264*b138*b157 + 
     0.264*b138*b158 + 0.8*b138*b159 + 0.264*b138*b160 + 0.528*b139*b155 + 
     0.264*b139*b156 + 0.8*b139*b157 + 0.528*b139*b158 + 0.264*b139*b159 + 0.8*
     b139*b160 + b140*b143 + 0.33*b140*b144 + 0.66*b140*b145 + b140*b149 + 0.33
     *b140*b150 + 0.66*b140*b151 + 0.5*b140*b161 + 0.165*b140*b162 + 0.33*b140*
     b163 + 0.8*b140*b164 + 0.264*b140*b165 + 0.528*b140*b166 + 0.8*b140*b167
      + 0.264*b140*b168 + 0.528*b140*b169 + 0.8*b140*b170 + 0.264*b140*b171 + 
     0.528*b140*b172 + 0.33*b141*b143 + b141*b144 + 0.33*b141*b145 + 0.33*b141*
     b149 + b141*b150 + 0.33*b141*b151 + 0.165*b141*b161 + 0.5*b141*b162 + 
     0.165*b141*b163 + 0.264*b141*b164 + 0.8*b141*b165 + 0.264*b141*b166 + 
     0.264*b141*b167 + 0.8*b141*b168 + 0.264*b141*b169 + 0.264*b141*b170 + 0.8*
     b141*b171 + 0.264*b141*b172 + 0.66*b142*b143 + 0.33*b142*b144 + b142*b145
      + 0.66*b142*b149 + 0.33*b142*b150 + b142*b151 + 0.33*b142*b161 + 0.165*
     b142*b162 + 0.5*b142*b163 + 0.528*b142*b164 + 0.264*b142*b165 + 0.8*b142*
     b166 + 0.528*b142*b167 + 0.264*b142*b168 + 0.8*b142*b169 + 0.528*b142*b170
      + 0.264*b142*b171 + 0.8*b142*b172 + 0.5*b143*b149 + 0.165*b143*b150 + 
     0.33*b143*b151 + 0.8*b143*b164 + 0.264*b143*b165 + 0.528*b143*b166 + 0.8*
     b143*b170 + 0.264*b143*b171 + 0.528*b143*b172 + 0.3*b143*b173 + 0.099*b143
     *b174 + 0.198*b143*b175 + 0.165*b144*b149 + 0.5*b144*b150 + 0.165*b144*
     b151 + 0.264*b144*b164 + 0.8*b144*b165 + 0.264*b144*b166 + 0.264*b144*b170
      + 0.8*b144*b171 + 0.264*b144*b172 + 0.099*b144*b173 + 0.3*b144*b174 + 
     0.099*b144*b175 + 0.33*b145*b149 + 0.165*b145*b150 + 0.5*b145*b151 + 0.528
     *b145*b164 + 0.264*b145*b165 + 0.8*b145*b166 + 0.528*b145*b170 + 0.264*
     b145*b171 + 0.8*b145*b172 + 0.198*b145*b173 + 0.099*b145*b174 + 0.3*b145*
     b175 + b146*b152 + 0.33*b146*b153 + 0.66*b146*b154 + 0.5*b146*b155 + 0.165
     *b146*b156 + 0.33*b146*b157 + 0.3*b146*b173 + 0.099*b146*b174 + 0.198*b146
     *b175 + 0.3*b146*b176 + 0.099*b146*b177 + 0.198*b146*b178 + 0.33*b147*b152
      + b147*b153 + 0.33*b147*b154 + 0.165*b147*b155 + 0.5*b147*b156 + 0.165*
     b147*b157 + 0.099*b147*b173 + 0.3*b147*b174 + 0.099*b147*b175 + 0.099*b147
     *b176 + 0.3*b147*b177 + 0.099*b147*b178 + 0.66*b148*b152 + 0.33*b148*b153
      + b148*b154 + 0.33*b148*b155 + 0.165*b148*b156 + 0.5*b148*b157 + 0.198*
     b148*b173 + 0.099*b148*b174 + 0.3*b148*b175 + 0.198*b148*b176 + 0.099*b148
     *b177 + 0.3*b148*b178 + b149*b161 + 0.33*b149*b162 + 0.66*b149*b163 + 0.8*
     b149*b164 + 0.264*b149*b165 + 0.528*b149*b166 + 0.8*b149*b167 + 0.264*b149
     *b168 + 0.528*b149*b169 + 0.8*b149*b179 + 0.264*b149*b180 + 0.528*b149*
     b181 + 0.33*b150*b161 + b150*b162 + 0.33*b150*b163 + 0.264*b150*b164 + 0.8
     *b150*b165 + 0.264*b150*b166 + 0.264*b150*b167 + 0.8*b150*b168 + 0.264*
     b150*b169 + 0.264*b150*b179 + 0.8*b150*b180 + 0.264*b150*b181 + 0.66*b151*
     b161 + 0.33*b151*b162 + b151*b163 + 0.528*b151*b164 + 0.264*b151*b165 + 
     0.8*b151*b166 + 0.528*b151*b167 + 0.264*b151*b168 + 0.8*b151*b169 + 0.528*
     b151*b179 + 0.264*b151*b180 + 0.8*b151*b181 + b152*b155 + 0.33*b152*b156
      + 0.66*b152*b157 + 0.5*b152*b158 + 0.165*b152*b159 + 0.33*b152*b160 + 0.3
     *b152*b173 + 0.099*b152*b174 + 0.198*b152*b175 + 0.3*b152*b176 + 0.099*
     b152*b177 + 0.198*b152*b178 + 0.3*b152*b182 + 0.099*b152*b183 + 0.198*b152
     *b184 + 0.33*b153*b155 + b153*b156 + 0.33*b153*b157 + 0.165*b153*b158 + 
     0.5*b153*b159 + 0.165*b153*b160 + 0.099*b153*b173 + 0.3*b153*b174 + 0.099*
     b153*b175 + 0.099*b153*b176 + 0.3*b153*b177 + 0.099*b153*b178 + 0.099*b153
     *b182 + 0.3*b153*b183 + 0.099*b153*b184 + 0.66*b154*b155 + 0.33*b154*b156
      + b154*b157 + 0.33*b154*b158 + 0.165*b154*b159 + 0.5*b154*b160 + 0.198*
     b154*b173 + 0.099*b154*b174 + 0.3*b154*b175 + 0.198*b154*b176 + 0.099*b154
     *b177 + 0.3*b154*b178 + 0.198*b154*b182 + 0.099*b154*b183 + 0.3*b154*b184
      + b155*b158 + 0.33*b155*b159 + 0.66*b155*b160 + 0.3*b155*b176 + 0.099*
     b155*b177 + 0.198*b155*b178 + 0.3*b155*b182 + 0.099*b155*b183 + 0.198*b155
     *b184 + 0.3*b155*b185 + 0.099*b155*b186 + 0.198*b155*b187 + 0.33*b156*b158
      + b156*b159 + 0.33*b156*b160 + 0.099*b156*b176 + 0.3*b156*b177 + 0.099*
     b156*b178 + 0.099*b156*b182 + 0.3*b156*b183 + 0.099*b156*b184 + 0.099*b156
     *b185 + 0.3*b156*b186 + 0.099*b156*b187 + 0.66*b157*b158 + 0.33*b157*b159
      + b157*b160 + 0.198*b157*b176 + 0.099*b157*b177 + 0.3*b157*b178 + 0.198*
     b157*b182 + 0.099*b157*b183 + 0.3*b157*b184 + 0.198*b157*b185 + 0.099*b157
     *b186 + 0.3*b157*b187 + 0.3*b158*b182 + 0.099*b158*b183 + 0.198*b158*b184
      + 0.3*b158*b185 + 0.099*b158*b186 + 0.198*b158*b187 + 0.099*b159*b182 + 
     0.3*b159*b183 + 0.099*b159*b184 + 0.099*b159*b185 + 0.3*b159*b186 + 0.099*
     b159*b187 + 0.198*b160*b182 + 0.099*b160*b183 + 0.3*b160*b184 + 0.198*b160
     *b185 + 0.099*b160*b186 + 0.3*b160*b187 + 0.8*b161*b167 + 0.264*b161*b168
      + 0.528*b161*b169 + 0.8*b161*b179 + 0.264*b161*b180 + 0.528*b161*b181 + 
     0.264*b162*b167 + 0.8*b162*b168 + 0.264*b162*b169 + 0.264*b162*b179 + 0.8*
     b162*b180 + 0.264*b162*b181 + 0.528*b163*b167 + 0.264*b163*b168 + 0.8*b163
     *b169 + 0.528*b163*b179 + 0.264*b163*b180 + 0.8*b163*b181 + b164*b167 + 
     0.33*b164*b168 + 0.66*b164*b169 + b164*b170 + 0.33*b164*b171 + 0.66*b164*
     b172 + 0.5*b164*b179 + 0.165*b164*b180 + 0.33*b164*b181 + 0.33*b165*b167
      + b165*b168 + 0.33*b165*b169 + 0.33*b165*b170 + b165*b171 + 0.33*b165*
     b172 + 0.165*b165*b179 + 0.5*b165*b180 + 0.165*b165*b181 + 0.66*b166*b167
      + 0.33*b166*b168 + b166*b169 + 0.66*b166*b170 + 0.33*b166*b171 + b166*
     b172 + 0.33*b166*b179 + 0.165*b166*b180 + 0.5*b166*b181 + 0.5*b167*b170 + 
     0.165*b167*b171 + 0.33*b167*b172 + b167*b179 + 0.33*b167*b180 + 0.66*b167*
     b181 + 0.165*b168*b170 + 0.5*b168*b171 + 0.165*b168*b172 + 0.33*b168*b179
      + b168*b180 + 0.33*b168*b181 + 0.33*b169*b170 + 0.165*b169*b171 + 0.5*
     b169*b172 + 0.66*b169*b179 + 0.33*b169*b180 + b169*b181 + 0.3*b170*b188 + 
     0.099*b170*b189 + 0.198*b170*b190 + 0.099*b171*b188 + 0.3*b171*b189 + 
     0.099*b171*b190 + 0.198*b172*b188 + 0.099*b172*b189 + 0.3*b172*b190 + b173
     *b176 + 0.33*b173*b177 + 0.66*b173*b178 + 0.5*b173*b182 + 0.165*b173*b183
      + 0.33*b173*b184 + 0.8*b173*b188 + 0.264*b173*b189 + 0.528*b173*b190 + 
     0.8*b173*b191 + 0.264*b173*b192 + 0.528*b173*b193 + 0.33*b174*b176 + b174*
     b177 + 0.33*b174*b178 + 0.165*b174*b182 + 0.5*b174*b183 + 0.165*b174*b184
      + 0.264*b174*b188 + 0.8*b174*b189 + 0.264*b174*b190 + 0.264*b174*b191 + 
     0.8*b174*b192 + 0.264*b174*b193 + 0.66*b175*b176 + 0.33*b175*b177 + b175*
     b178 + 0.33*b175*b182 + 0.165*b175*b183 + 0.5*b175*b184 + 0.528*b175*b188
      + 0.264*b175*b189 + 0.8*b175*b190 + 0.528*b175*b191 + 0.264*b175*b192 + 
     0.8*b175*b193 + b176*b182 + 0.33*b176*b183 + 0.66*b176*b184 + 0.5*b176*
     b185 + 0.165*b176*b186 + 0.33*b176*b187 + 0.8*b176*b188 + 0.264*b176*b189
      + 0.528*b176*b190 + 0.8*b176*b191 + 0.264*b176*b192 + 0.528*b176*b193 + 
     0.8*b176*b194 + 0.264*b176*b195 + 0.528*b176*b196 + 0.33*b177*b182 + b177*
     b183 + 0.33*b177*b184 + 0.165*b177*b185 + 0.5*b177*b186 + 0.165*b177*b187
      + 0.264*b177*b188 + 0.8*b177*b189 + 0.264*b177*b190 + 0.264*b177*b191 + 
     0.8*b177*b192 + 0.264*b177*b193 + 0.264*b177*b194 + 0.8*b177*b195 + 0.264*
     b177*b196 + 0.66*b178*b182 + 0.33*b178*b183 + b178*b184 + 0.33*b178*b185
      + 0.165*b178*b186 + 0.5*b178*b187 + 0.528*b178*b188 + 0.264*b178*b189 + 
     0.8*b178*b190 + 0.528*b178*b191 + 0.264*b178*b192 + 0.8*b178*b193 + 0.528*
     b178*b194 + 0.264*b178*b195 + 0.8*b178*b196 + b182*b185 + 0.33*b182*b186
      + 0.66*b182*b187 + 0.8*b182*b191 + 0.264*b182*b192 + 0.528*b182*b193 + 
     0.8*b182*b194 + 0.264*b182*b195 + 0.528*b182*b196 + 0.8*b182*b197 + 0.264*
     b182*b198 + 0.528*b182*b199 + 0.33*b183*b185 + b183*b186 + 0.33*b183*b187
      + 0.264*b183*b191 + 0.8*b183*b192 + 0.264*b183*b193 + 0.264*b183*b194 + 
     0.8*b183*b195 + 0.264*b183*b196 + 0.264*b183*b197 + 0.8*b183*b198 + 0.264*
     b183*b199 + 0.66*b184*b185 + 0.33*b184*b186 + b184*b187 + 0.528*b184*b191
      + 0.264*b184*b192 + 0.8*b184*b193 + 0.528*b184*b194 + 0.264*b184*b195 + 
     0.8*b184*b196 + 0.528*b184*b197 + 0.264*b184*b198 + 0.8*b184*b199 + 0.8*
     b185*b194 + 0.264*b185*b195 + 0.528*b185*b196 + 0.8*b185*b197 + 0.264*b185
     *b198 + 0.528*b185*b199 + 0.264*b186*b194 + 0.8*b186*b195 + 0.264*b186*
     b196 + 0.264*b186*b197 + 0.8*b186*b198 + 0.264*b186*b199 + 0.528*b187*b194
      + 0.264*b187*b195 + 0.8*b187*b196 + 0.528*b187*b197 + 0.264*b187*b198 + 
     0.8*b187*b199 + b188*b191 + 0.33*b188*b192 + 0.66*b188*b193 + 0.5*b188*
     b194 + 0.165*b188*b195 + 0.33*b188*b196 + 0.33*b189*b191 + b189*b192 + 
     0.33*b189*b193 + 0.165*b189*b194 + 0.5*b189*b195 + 0.165*b189*b196 + 0.66*
     b190*b191 + 0.33*b190*b192 + b190*b193 + 0.33*b190*b194 + 0.165*b190*b195
      + 0.5*b190*b196 + b191*b194 + 0.33*b191*b195 + 0.66*b191*b196 + 0.5*b191*
     b197 + 0.165*b191*b198 + 0.33*b191*b199 + 0.33*b192*b194 + b192*b195 + 
     0.33*b192*b196 + 0.165*b192*b197 + 0.5*b192*b198 + 0.165*b192*b199 + 0.66*
     b193*b194 + 0.33*b193*b195 + b193*b196 + 0.33*b193*b197 + 0.165*b193*b198
      + 0.5*b193*b199 + b194*b197 + 0.33*b194*b198 + 0.66*b194*b199 + 0.33*b195
     *b197 + b195*b198 + 0.33*b195*b199 + 0.66*b196*b197 + 0.33*b196*b198 + 
     b196*b199 + b200*b201 + 0.33*b200*b202 + 0.66*b200*b203 + 0.85*b200*b204
      + 0.2805*b200*b205 + 0.561*b200*b206 + b201*b204 + 0.33*b201*b205 + 0.66*
     b201*b206 + 0.33*b201*b207 + 0.66*b201*b208 + 0.85*b201*b209 + 0.2805*b201
     *b210 + 0.561*b201*b211 + 0.33*b202*b204 + b202*b205 + 0.33*b202*b206 + 
     b202*b207 + 0.33*b202*b208 + 0.2805*b202*b209 + 0.85*b202*b210 + 0.2805*
     b202*b211 + 0.66*b203*b204 + 0.33*b203*b205 + b203*b206 + 0.33*b203*b207
      + b203*b208 + 0.561*b203*b209 + 0.2805*b203*b210 + 0.85*b203*b211 + 
     0.2805*b204*b207 + 0.561*b204*b208 + b204*b209 + 0.33*b204*b210 + 0.66*
     b204*b211 + 0.85*b204*b212 + 0.2805*b204*b213 + 0.561*b204*b214 + 0.85*
     b205*b207 + 0.2805*b205*b208 + 0.33*b205*b209 + b205*b210 + 0.33*b205*b211
      + 0.2805*b205*b212 + 0.85*b205*b213 + 0.2805*b205*b214 + 0.2805*b206*b207
      + 0.85*b206*b208 + 0.66*b206*b209 + 0.33*b206*b210 + b206*b211 + 0.561*
     b206*b212 + 0.2805*b206*b213 + 0.85*b206*b214 + b209*b212 + 0.33*b209*b213
      + 0.66*b209*b214 + 0.85*b209*b215 + 0.2805*b209*b216 + 0.561*b209*b217 + 
     0.33*b210*b212 + b210*b213 + 0.33*b210*b214 + 0.2805*b210*b215 + 0.85*b210
     *b216 + 0.2805*b210*b217 + 0.66*b211*b212 + 0.33*b211*b213 + b211*b214 + 
     0.561*b211*b215 + 0.2805*b211*b216 + 0.85*b211*b217 + b212*b215 + 0.33*
     b212*b216 + 0.66*b212*b217 + 0.85*b212*b218 + 0.2805*b212*b219 + 0.561*
     b212*b220 + 0.33*b213*b215 + b213*b216 + 0.33*b213*b217 + 0.2805*b213*b218
      + 0.85*b213*b219 + 0.2805*b213*b220 + 0.66*b214*b215 + 0.33*b214*b216 + 
     b214*b217 + 0.561*b214*b218 + 0.2805*b214*b219 + 0.85*b214*b220 + b215*
     b218 + 0.33*b215*b219 + 0.66*b215*b220 + 0.85*b215*b221 + 0.2805*b215*b222
      + 0.561*b215*b223 + 0.33*b216*b218 + b216*b219 + 0.33*b216*b220 + 0.2805*
     b216*b221 + 0.85*b216*b222 + 0.2805*b216*b223 + 0.66*b217*b218 + 0.33*b217
     *b219 + b217*b220 + 0.561*b217*b221 + 0.2805*b217*b222 + 0.85*b217*b223 + 
     b218*b221 + 0.33*b218*b222 + 0.66*b218*b223 + 0.85*b218*b224 + 0.2805*b218
     *b225 + 0.561*b218*b226 + 0.33*b219*b221 + b219*b222 + 0.33*b219*b223 + 
     0.2805*b219*b224 + 0.85*b219*b225 + 0.2805*b219*b226 + 0.66*b220*b221 + 
     0.33*b220*b222 + b220*b223 + 0.561*b220*b224 + 0.2805*b220*b225 + 0.85*
     b220*b226 + b221*b224 + 0.33*b221*b225 + 0.66*b221*b226 + 0.85*b221*b227
      + 0.2805*b221*b228 + 0.561*b221*b229 + 0.33*b222*b224 + b222*b225 + 0.33*
     b222*b226 + 0.2805*b222*b227 + 0.85*b222*b228 + 0.2805*b222*b229 + 0.66*
     b223*b224 + 0.33*b223*b225 + b223*b226 + 0.561*b223*b227 + 0.2805*b223*
     b228 + 0.85*b223*b229 + b224*b227 + 0.33*b224*b228 + 0.66*b224*b229 + 0.85
     *b224*b230 + 0.2805*b224*b231 + 0.561*b224*b232 + 0.33*b225*b227 + b225*
     b228 + 0.33*b225*b229 + 0.2805*b225*b230 + 0.85*b225*b231 + 0.2805*b225*
     b232 + 0.66*b226*b227 + 0.33*b226*b228 + b226*b229 + 0.561*b226*b230 + 
     0.2805*b226*b231 + 0.85*b226*b232 + b227*b230 + 0.33*b227*b231 + 0.66*b227
     *b232 + 0.85*b227*b233 + 0.2805*b227*b234 + 0.561*b227*b235 + 0.33*b228*
     b230 + b228*b231 + 0.33*b228*b232 + 0.2805*b228*b233 + 0.85*b228*b234 + 
     0.2805*b228*b235 + 0.66*b229*b230 + 0.33*b229*b231 + b229*b232 + 0.561*
     b229*b233 + 0.2805*b229*b234 + 0.85*b229*b235 + b230*b233 + 0.33*b230*b234
      + 0.66*b230*b235 + 0.85*b230*b236 + 0.2805*b230*b237 + 0.561*b230*b238 + 
     0.33*b231*b233 + b231*b234 + 0.33*b231*b235 + 0.2805*b231*b236 + 0.85*b231
     *b237 + 0.2805*b231*b238 + 0.66*b232*b233 + 0.33*b232*b234 + b232*b235 + 
     0.561*b232*b236 + 0.2805*b232*b237 + 0.85*b232*b238 + b233*b236 + 0.33*
     b233*b237 + 0.66*b233*b238 + 0.33*b234*b236 + b234*b237 + 0.33*b234*b238
      + 0.66*b235*b236 + 0.33*b235*b237 + b235*b238 - objvar =E= 0;

e2..    b2 + b18 + b19 + b239 =E= 1;

e3..    b3 + b4 + b5 + b240 =E= 1;

e4..    b6 + b7 + b8 + b241 =E= 1;

e5..    b20 + b21 + b22 + b242 =E= 1;

e6..    b9 + b10 + b11 + b243 =E= 1;

e7..    b12 + b13 + b14 + b244 =E= 1;

e8..    b23 + b24 + b25 + b245 =E= 1;

e9..    b26 + b27 + b28 + b246 =E= 1;

e10..    b29 + b30 + b31 + b247 =E= 1;

e11..    b32 + b33 + b34 + b248 =E= 1;

e12..    b56 + b57 + b58 + b249 =E= 1;

e13..    b38 + b39 + b40 + b250 =E= 1;

e14..    b59 + b60 + b61 + b251 =E= 1;

e15..    b62 + b63 + b64 + b252 =E= 1;

e16..    b68 + b69 + b70 + b253 =E= 1;

e17..    b77 + b78 + b79 + b254 =E= 1;

e18..    b104 + b105 + b106 + b255 =E= 1;

e19..    b95 + b96 + b97 + b256 =E= 1;

e20..    b116 + b117 + b118 + b257 =E= 1;

e21..    b119 + b120 + b121 + b258 =E= 1;

e22..    b161 + b162 + b163 + b259 =E= 1;

e23..    b131 + b132 + b133 + b260 =E= 1;

e24..    b143 + b144 + b145 + b261 =E= 1;

e25..    b140 + b141 + b142 + b262 =E= 1;

e26..    b149 + b150 + b151 + b263 =E= 1;

e27..    b134 + b135 + b136 + b264 =E= 1;

e28..    b170 + b171 + b172 + b265 =E= 1;

e29..    b164 + b165 + b166 + b266 =E= 1;

e30..    b167 + b168 + b169 + b267 =E= 1;

e31..    b179 + b180 + b181 + b268 =E= 1;

e32..    b200 + b207 + b208 + b269 =E= 1;

e33..    b201 + b202 + b203 + b270 =E= 1;

e34..    b204 + b205 + b206 + b271 =E= 1;

e35..    b209 + b210 + b211 + b272 =E= 1;

e36..    b212 + b213 + b214 + b273 =E= 1;

e37..    b215 + b216 + b217 + b274 =E= 1;

e38..    b218 + b219 + b220 + b275 =E= 1;

e39..    b221 + b222 + b223 + b276 =E= 1;

e40..    b224 + b225 + b226 + b277 =E= 1;

e41..    b227 + b228 + b229 + b278 =E= 1;

e42..    b230 + b231 + b232 + b279 =E= 1;

e43..    b233 + b234 + b235 + b280 =E= 1;

e44..    b236 + b237 + b238 + b281 =E= 1;

e45..    b80 + b84 + b85 + b282 =E= 1;

e46..    b81 + b82 + b83 + b283 =E= 1;

e47..    b41 + b42 + b43 + b284 =E= 1;

e48..    b47 + b48 + b49 + b285 =E= 1;

e49..    b86 + b87 + b88 + b286 =E= 1;

e50..    b44 + b45 + b46 + b287 =E= 1;

e51..    b50 + b51 + b52 + b288 =E= 1;

e52..    b15 + b16 + b17 + b289 =E= 1;

e53..    b89 + b90 + b91 + b290 =E= 1;

e54..    b71 + b72 + b73 + b291 =E= 1;

e55..    b53 + b54 + b55 + b292 =E= 1;

e56..    b35 + b36 + b37 + b293 =E= 1;

e57..    b107 + b108 + b109 + b294 =E= 1;

e58..    b92 + b93 + b94 + b295 =E= 1;

e59..    b74 + b75 + b76 + b296 =E= 1;

e60..    b65 + b66 + b67 + b297 =E= 1;

e61..    b113 + b114 + b115 + b298 =E= 1;

e62..    b110 + b111 + b112 + b299 =E= 1;

e63..    b101 + b102 + b103 + b300 =E= 1;

e64..    b98 + b99 + b100 + b301 =E= 1;

e65..    b137 + b138 + b139 + b302 =E= 1;

e66..    b128 + b129 + b130 + b303 =E= 1;

e67..    b125 + b126 + b127 + b304 =E= 1;

e68..    b122 + b123 + b124 + b305 =E= 1;

e69..    b158 + b159 + b160 + b306 =E= 1;

e70..    b155 + b156 + b157 + b307 =E= 1;

e71..    b152 + b153 + b154 + b308 =E= 1;

e72..    b146 + b147 + b148 + b309 =E= 1;

e73..    b185 + b186 + b187 + b310 =E= 1;

e74..    b182 + b183 + b184 + b311 =E= 1;

e75..    b176 + b177 + b178 + b312 =E= 1;

e76..    b173 + b174 + b175 + b313 =E= 1;

e77..    b197 + b198 + b199 + b314 =E= 1;

e78..    b194 + b195 + b196 + b315 =E= 1;

e79..    b191 + b192 + b193 + b316 =E= 1;

e80..    b188 + b189 + b190 + b317 =E= 1;

e81..    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 =E= 0;

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: 2018-09-14 Git hash: ac5a5314
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