MINLPLib

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Instance: edgecross10-080

edge-crossing minimization in bipartite graphs modeled as a quadratic linear ordering problem
This instance is for the edge crossing minimization problem in a
bipartite graph G. G has to be drawn in the plane so that the nodes of
its two shores are placed on two parallel horizontal lines. The task
is to minimize the number of edge crossings by permuting the order of
nodes on each layer, assuming that all edges are drawn as straight
lines. The problem can be modeled as a quadratic objective over linear
ordering variables.
Formats ams gms lp mod nl osil pip
Primal Bounds
1037.00000000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
1036.99999900 (ANTIGONE)
1036.99999900 (BARON)
1037.00000000 (COUENNE)
1037.00000000 (LINDO)
1037.00000000 (SCIP)
References Buchheim, Christoph, Wiegele, Angelika, and Zheng, Lanbo, Exact Algorithms for the Quadratic Linear Ordering Problem, INFORMS Journal on Computing, 22:1, 2010, 168-177.
Source POLIP instance quadratic_linear_ordering/bip_cross_min.10.10.80.1
Application Edge-crossing minimization in bipartite graphs
Added to library 26 Feb 2014
Problem type MBQCP
#Variables 91
#Binary Variables 74
#Integer Variables 0
#Nonlinear Variables 88
#Nonlinear Binary Variables 73
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 481
#Linear Constraints 480
#Quadratic Constraints 1
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1529
#Nonlinear Nonzeros in Jacobian 88
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1920
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 88
Maximal blocksize in Hessian of Lagrangian 88
Average blocksize in Hessian of Lagrangian 88.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1296
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
*        481        0        1      480        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         91       17       74        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1529     1441       88        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,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,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,objvar;

Positive Variables  x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87,x88
          ,x89,x90;

Binary Variables  b1,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;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481;


e1..  - b1 + b2 + b3 =L= 1;

e2..    b3 - b4 + b5 =L= 1;

e3..    b3 - b6 + b7 =L= 1;

e4..    b3 - b8 + b9 =L= 1;

e5..    b3 - b10 + b11 =L= 1;

e6..    b3 - b12 + b13 =L= 1;

e7..    b3 - b14 + b15 =L= 1;

e8..    b3 - b16 + b17 =L= 1;

e9..    b1 - b4 + b18 =L= 1;

e10..    b1 - b6 + b19 =L= 1;

e11..    b1 - b8 + b20 =L= 1;

e12..    b1 - b10 + b21 =L= 1;

e13..    b1 - b12 + b22 =L= 1;

e14..    b1 - b14 + b23 =L= 1;

e15..    b1 - b16 + b24 =L= 1;

e16..    b4 - b6 + b25 =L= 1;

e17..    b4 - b8 + b26 =L= 1;

e18..    b4 - b10 + b27 =L= 1;

e19..    b4 - b12 + b28 =L= 1;

e20..    b4 - b14 + b29 =L= 1;

e21..    b4 - b16 + b30 =L= 1;

e22..    b6 - b8 + b31 =L= 1;

e23..    b6 - b10 + b32 =L= 1;

e24..    b6 - b12 + b33 =L= 1;

e25..    b6 - b14 + b34 =L= 1;

e26..    b6 - b16 + b35 =L= 1;

e27..    b8 - b10 + b36 =L= 1;

e28..    b8 - b12 + b37 =L= 1;

e29..    b8 - b14 + b38 =L= 1;

e30..    b8 - b16 + b39 =L= 1;

e31..    b10 - b12 + b40 =L= 1;

e32..    b10 - b14 + b41 =L= 1;

e33..    b10 - b16 + b42 =L= 1;

e34..    b12 - b14 + b43 =L= 1;

e35..    b12 - b16 + b44 =L= 1;

e36..    b14 - b16 + b45 =L= 1;

e37..    b2 - b5 + b18 =L= 1;

e38..    b2 - b7 + b19 =L= 1;

e39..    b2 - b9 + b20 =L= 1;

e40..    b2 - b11 + b21 =L= 1;

e41..    b2 - b13 + b22 =L= 1;

e42..    b2 - b15 + b23 =L= 1;

e43..    b2 - b17 + b24 =L= 1;

e44..    b5 - b7 + b25 =L= 1;

e45..    b5 - b9 + b26 =L= 1;

e46..    b5 - b11 + b27 =L= 1;

e47..    b5 - b13 + b28 =L= 1;

e48..    b5 - b15 + b29 =L= 1;

e49..    b5 - b17 + b30 =L= 1;

e50..    b7 - b9 + b31 =L= 1;

e51..    b7 - b11 + b32 =L= 1;

e52..    b7 - b13 + b33 =L= 1;

e53..    b7 - b15 + b34 =L= 1;

e54..    b7 - b17 + b35 =L= 1;

e55..    b9 - b11 + b36 =L= 1;

e56..    b9 - b13 + b37 =L= 1;

e57..    b9 - b15 + b38 =L= 1;

e58..    b9 - b17 + b39 =L= 1;

e59..    b11 - b13 + b40 =L= 1;

e60..    b11 - b15 + b41 =L= 1;

e61..    b11 - b17 + b42 =L= 1;

e62..    b13 - b15 + b43 =L= 1;

e63..    b13 - b17 + b44 =L= 1;

e64..    b15 - b17 + b45 =L= 1;

e65..    b18 - b19 + b25 =L= 1;

e66..    b18 - b20 + b26 =L= 1;

e67..    b18 - b21 + b27 =L= 1;

e68..    b18 - b22 + b28 =L= 1;

e69..    b18 - b23 + b29 =L= 1;

e70..    b18 - b24 + b30 =L= 1;

e71..    b19 - b20 + b31 =L= 1;

e72..    b19 - b21 + b32 =L= 1;

e73..    b19 - b22 + b33 =L= 1;

e74..    b19 - b23 + b34 =L= 1;

e75..    b19 - b24 + b35 =L= 1;

e76..    b20 - b21 + b36 =L= 1;

e77..    b20 - b22 + b37 =L= 1;

e78..    b20 - b23 + b38 =L= 1;

e79..    b20 - b24 + b39 =L= 1;

e80..    b21 - b22 + b40 =L= 1;

e81..    b21 - b23 + b41 =L= 1;

e82..    b21 - b24 + b42 =L= 1;

e83..    b22 - b23 + b43 =L= 1;

e84..    b22 - b24 + b44 =L= 1;

e85..    b23 - b24 + b45 =L= 1;

e86..    b25 - b26 + b31 =L= 1;

e87..    b25 - b27 + b32 =L= 1;

e88..    b25 - b28 + b33 =L= 1;

e89..    b25 - b29 + b34 =L= 1;

e90..    b25 - b30 + b35 =L= 1;

e91..    b26 - b27 + b36 =L= 1;

e92..    b26 - b28 + b37 =L= 1;

e93..    b26 - b29 + b38 =L= 1;

e94..    b26 - b30 + b39 =L= 1;

e95..    b27 - b28 + b40 =L= 1;

e96..    b27 - b29 + b41 =L= 1;

e97..    b27 - b30 + b42 =L= 1;

e98..    b28 - b29 + b43 =L= 1;

e99..    b28 - b30 + b44 =L= 1;

e100..    b29 - b30 + b45 =L= 1;

e101..    b31 - b32 + b36 =L= 1;

e102..    b31 - b33 + b37 =L= 1;

e103..    b31 - b34 + b38 =L= 1;

e104..    b31 - b35 + b39 =L= 1;

e105..    b32 - b33 + b40 =L= 1;

e106..    b32 - b34 + b41 =L= 1;

e107..    b32 - b35 + b42 =L= 1;

e108..    b33 - b34 + b43 =L= 1;

e109..    b33 - b35 + b44 =L= 1;

e110..    b34 - b35 + b45 =L= 1;

e111..    b36 - b37 + b40 =L= 1;

e112..    b36 - b38 + b41 =L= 1;

e113..    b36 - b39 + b42 =L= 1;

e114..    b37 - b38 + b43 =L= 1;

e115..    b37 - b39 + b44 =L= 1;

e116..    b38 - b39 + b45 =L= 1;

e117..    b40 - b41 + b43 =L= 1;

e118..    b40 - b42 + b44 =L= 1;

e119..    b41 - b42 + b45 =L= 1;

e120..    b43 - b44 + b45 =L= 1;

e121..    b1 - b2 - b3 =L= 0;

e122..  - b3 + b4 - b5 =L= 0;

e123..  - b3 + b6 - b7 =L= 0;

e124..  - b3 + b8 - b9 =L= 0;

e125..  - b3 + b10 - b11 =L= 0;

e126..  - b3 + b12 - b13 =L= 0;

e127..  - b3 + b14 - b15 =L= 0;

e128..  - b3 + b16 - b17 =L= 0;

e129..  - b1 + b4 - b18 =L= 0;

e130..  - b1 + b6 - b19 =L= 0;

e131..  - b1 + b8 - b20 =L= 0;

e132..  - b1 + b10 - b21 =L= 0;

e133..  - b1 + b12 - b22 =L= 0;

e134..  - b1 + b14 - b23 =L= 0;

e135..  - b1 + b16 - b24 =L= 0;

e136..  - b4 + b6 - b25 =L= 0;

e137..  - b4 + b8 - b26 =L= 0;

e138..  - b4 + b10 - b27 =L= 0;

e139..  - b4 + b12 - b28 =L= 0;

e140..  - b4 + b14 - b29 =L= 0;

e141..  - b4 + b16 - b30 =L= 0;

e142..  - b6 + b8 - b31 =L= 0;

e143..  - b6 + b10 - b32 =L= 0;

e144..  - b6 + b12 - b33 =L= 0;

e145..  - b6 + b14 - b34 =L= 0;

e146..  - b6 + b16 - b35 =L= 0;

e147..  - b8 + b10 - b36 =L= 0;

e148..  - b8 + b12 - b37 =L= 0;

e149..  - b8 + b14 - b38 =L= 0;

e150..  - b8 + b16 - b39 =L= 0;

e151..  - b10 + b12 - b40 =L= 0;

e152..  - b10 + b14 - b41 =L= 0;

e153..  - b10 + b16 - b42 =L= 0;

e154..  - b12 + b14 - b43 =L= 0;

e155..  - b12 + b16 - b44 =L= 0;

e156..  - b14 + b16 - b45 =L= 0;

e157..  - b2 + b5 - b18 =L= 0;

e158..  - b2 + b7 - b19 =L= 0;

e159..  - b2 + b9 - b20 =L= 0;

e160..  - b2 + b11 - b21 =L= 0;

e161..  - b2 + b13 - b22 =L= 0;

e162..  - b2 + b15 - b23 =L= 0;

e163..  - b2 + b17 - b24 =L= 0;

e164..  - b5 + b7 - b25 =L= 0;

e165..  - b5 + b9 - b26 =L= 0;

e166..  - b5 + b11 - b27 =L= 0;

e167..  - b5 + b13 - b28 =L= 0;

e168..  - b5 + b15 - b29 =L= 0;

e169..  - b5 + b17 - b30 =L= 0;

e170..  - b7 + b9 - b31 =L= 0;

e171..  - b7 + b11 - b32 =L= 0;

e172..  - b7 + b13 - b33 =L= 0;

e173..  - b7 + b15 - b34 =L= 0;

e174..  - b7 + b17 - b35 =L= 0;

e175..  - b9 + b11 - b36 =L= 0;

e176..  - b9 + b13 - b37 =L= 0;

e177..  - b9 + b15 - b38 =L= 0;

e178..  - b9 + b17 - b39 =L= 0;

e179..  - b11 + b13 - b40 =L= 0;

e180..  - b11 + b15 - b41 =L= 0;

e181..  - b11 + b17 - b42 =L= 0;

e182..  - b13 + b15 - b43 =L= 0;

e183..  - b13 + b17 - b44 =L= 0;

e184..  - b15 + b17 - b45 =L= 0;

e185..  - b18 + b19 - b25 =L= 0;

e186..  - b18 + b20 - b26 =L= 0;

e187..  - b18 + b21 - b27 =L= 0;

e188..  - b18 + b22 - b28 =L= 0;

e189..  - b18 + b23 - b29 =L= 0;

e190..  - b18 + b24 - b30 =L= 0;

e191..  - b19 + b20 - b31 =L= 0;

e192..  - b19 + b21 - b32 =L= 0;

e193..  - b19 + b22 - b33 =L= 0;

e194..  - b19 + b23 - b34 =L= 0;

e195..  - b19 + b24 - b35 =L= 0;

e196..  - b20 + b21 - b36 =L= 0;

e197..  - b20 + b22 - b37 =L= 0;

e198..  - b20 + b23 - b38 =L= 0;

e199..  - b20 + b24 - b39 =L= 0;

e200..  - b21 + b22 - b40 =L= 0;

e201..  - b21 + b23 - b41 =L= 0;

e202..  - b21 + b24 - b42 =L= 0;

e203..  - b22 + b23 - b43 =L= 0;

e204..  - b22 + b24 - b44 =L= 0;

e205..  - b23 + b24 - b45 =L= 0;

e206..  - b25 + b26 - b31 =L= 0;

e207..  - b25 + b27 - b32 =L= 0;

e208..  - b25 + b28 - b33 =L= 0;

e209..  - b25 + b29 - b34 =L= 0;

e210..  - b25 + b30 - b35 =L= 0;

e211..  - b26 + b27 - b36 =L= 0;

e212..  - b26 + b28 - b37 =L= 0;

e213..  - b26 + b29 - b38 =L= 0;

e214..  - b26 + b30 - b39 =L= 0;

e215..  - b27 + b28 - b40 =L= 0;

e216..  - b27 + b29 - b41 =L= 0;

e217..  - b27 + b30 - b42 =L= 0;

e218..  - b28 + b29 - b43 =L= 0;

e219..  - b28 + b30 - b44 =L= 0;

e220..  - b29 + b30 - b45 =L= 0;

e221..  - b31 + b32 - b36 =L= 0;

e222..  - b31 + b33 - b37 =L= 0;

e223..  - b31 + b34 - b38 =L= 0;

e224..  - b31 + b35 - b39 =L= 0;

e225..  - b32 + b33 - b40 =L= 0;

e226..  - b32 + b34 - b41 =L= 0;

e227..  - b32 + b35 - b42 =L= 0;

e228..  - b33 + b34 - b43 =L= 0;

e229..  - b33 + b35 - b44 =L= 0;

e230..  - b34 + b35 - b45 =L= 0;

e231..  - b36 + b37 - b40 =L= 0;

e232..  - b36 + b38 - b41 =L= 0;

e233..  - b36 + b39 - b42 =L= 0;

e234..  - b37 + b38 - b43 =L= 0;

e235..  - b37 + b39 - b44 =L= 0;

e236..  - b38 + b39 - b45 =L= 0;

e237..  - b40 + b41 - b43 =L= 0;

e238..  - b40 + b42 - b44 =L= 0;

e239..  - b41 + b42 - b45 =L= 0;

e240..  - b43 + b44 - b45 =L= 0;

e241..  - b46 + b47 + b48 =L= 1;

e242..    b48 - b49 + b50 =L= 1;

e243..    b48 - b51 + b52 =L= 1;

e244..    b48 - b53 + b54 =L= 1;

e245..    b48 - b55 + b56 =L= 1;

e246..    b48 - b57 + b58 =L= 1;

e247..    b48 - b59 + b60 =L= 1;

e248..    b48 - b61 + b62 =L= 1;

e249..    b46 - b49 + b63 =L= 1;

e250..    b46 - b51 + b64 =L= 1;

e251..    b46 - b53 + b65 =L= 1;

e252..    b46 - b55 + b66 =L= 1;

e253..    b46 - b57 + b67 =L= 1;

e254..    b46 - b59 + b68 =L= 1;

e255..    b46 - b61 + b69 =L= 1;

e256..    b49 - b51 + b70 =L= 1;

e257..    b49 - b53 + b71 =L= 1;

e258..    b49 - b55 + b72 =L= 1;

e259..    b49 - b57 + b73 =L= 1;

e260..    b49 - b59 + b74 =L= 1;

e261..    b49 - b61 + x75 =L= 1;

e262..    b51 - b53 + x76 =L= 1;

e263..    b51 - b55 + x77 =L= 1;

e264..    b51 - b57 + x78 =L= 1;

e265..    b51 - b59 + x79 =L= 1;

e266..    b51 - b61 + x80 =L= 1;

e267..    b53 - b55 + x81 =L= 1;

e268..    b53 - b57 + x82 =L= 1;

e269..    b53 - b59 + x83 =L= 1;

e270..    b53 - b61 + x84 =L= 1;

e271..    b55 - b57 + x85 =L= 1;

e272..    b55 - b59 + x86 =L= 1;

e273..    b55 - b61 + x87 =L= 1;

e274..    b57 - b59 + x88 =L= 1;

e275..    b57 - b61 + x89 =L= 1;

e276..    b59 - b61 + x90 =L= 1;

e277..    b47 - b50 + b63 =L= 1;

e278..    b47 - b52 + b64 =L= 1;

e279..    b47 - b54 + b65 =L= 1;

e280..    b47 - b56 + b66 =L= 1;

e281..    b47 - b58 + b67 =L= 1;

e282..    b47 - b60 + b68 =L= 1;

e283..    b47 - b62 + b69 =L= 1;

e284..    b50 - b52 + b70 =L= 1;

e285..    b50 - b54 + b71 =L= 1;

e286..    b50 - b56 + b72 =L= 1;

e287..    b50 - b58 + b73 =L= 1;

e288..    b50 - b60 + b74 =L= 1;

e289..    b50 - b62 + x75 =L= 1;

e290..    b52 - b54 + x76 =L= 1;

e291..    b52 - b56 + x77 =L= 1;

e292..    b52 - b58 + x78 =L= 1;

e293..    b52 - b60 + x79 =L= 1;

e294..    b52 - b62 + x80 =L= 1;

e295..    b54 - b56 + x81 =L= 1;

e296..    b54 - b58 + x82 =L= 1;

e297..    b54 - b60 + x83 =L= 1;

e298..    b54 - b62 + x84 =L= 1;

e299..    b56 - b58 + x85 =L= 1;

e300..    b56 - b60 + x86 =L= 1;

e301..    b56 - b62 + x87 =L= 1;

e302..    b58 - b60 + x88 =L= 1;

e303..    b58 - b62 + x89 =L= 1;

e304..    b60 - b62 + x90 =L= 1;

e305..    b63 - b64 + b70 =L= 1;

e306..    b63 - b65 + b71 =L= 1;

e307..    b63 - b66 + b72 =L= 1;

e308..    b63 - b67 + b73 =L= 1;

e309..    b63 - b68 + b74 =L= 1;

e310..    b63 - b69 + x75 =L= 1;

e311..    b64 - b65 + x76 =L= 1;

e312..    b64 - b66 + x77 =L= 1;

e313..    b64 - b67 + x78 =L= 1;

e314..    b64 - b68 + x79 =L= 1;

e315..    b64 - b69 + x80 =L= 1;

e316..    b65 - b66 + x81 =L= 1;

e317..    b65 - b67 + x82 =L= 1;

e318..    b65 - b68 + x83 =L= 1;

e319..    b65 - b69 + x84 =L= 1;

e320..    b66 - b67 + x85 =L= 1;

e321..    b66 - b68 + x86 =L= 1;

e322..    b66 - b69 + x87 =L= 1;

e323..    b67 - b68 + x88 =L= 1;

e324..    b67 - b69 + x89 =L= 1;

e325..    b68 - b69 + x90 =L= 1;

e326..    b70 - b71 + x76 =L= 1;

e327..    b70 - b72 + x77 =L= 1;

e328..    b70 - b73 + x78 =L= 1;

e329..    b70 - b74 + x79 =L= 1;

e330..    b70 - x75 + x80 =L= 1;

e331..    b71 - b72 + x81 =L= 1;

e332..    b71 - b73 + x82 =L= 1;

e333..    b71 - b74 + x83 =L= 1;

e334..    b71 - x75 + x84 =L= 1;

e335..    b72 - b73 + x85 =L= 1;

e336..    b72 - b74 + x86 =L= 1;

e337..    b72 - x75 + x87 =L= 1;

e338..    b73 - b74 + x88 =L= 1;

e339..    b73 - x75 + x89 =L= 1;

e340..    b74 - x75 + x90 =L= 1;

e341..    x76 - x77 + x81 =L= 1;

e342..    x76 - x78 + x82 =L= 1;

e343..    x76 - x79 + x83 =L= 1;

e344..    x76 - x80 + x84 =L= 1;

e345..    x77 - x78 + x85 =L= 1;

e346..    x77 - x79 + x86 =L= 1;

e347..    x77 - x80 + x87 =L= 1;

e348..    x78 - x79 + x88 =L= 1;

e349..    x78 - x80 + x89 =L= 1;

e350..    x79 - x80 + x90 =L= 1;

e351..    x81 - x82 + x85 =L= 1;

e352..    x81 - x83 + x86 =L= 1;

e353..    x81 - x84 + x87 =L= 1;

e354..    x82 - x83 + x88 =L= 1;

e355..    x82 - x84 + x89 =L= 1;

e356..    x83 - x84 + x90 =L= 1;

e357..    x85 - x86 + x88 =L= 1;

e358..    x85 - x87 + x89 =L= 1;

e359..    x86 - x87 + x90 =L= 1;

e360..    x88 - x89 + x90 =L= 1;

e361..    b46 - b47 - b48 =L= 0;

e362..  - b48 + b49 - b50 =L= 0;

e363..  - b48 + b51 - b52 =L= 0;

e364..  - b48 + b53 - b54 =L= 0;

e365..  - b48 + b55 - b56 =L= 0;

e366..  - b48 + b57 - b58 =L= 0;

e367..  - b48 + b59 - b60 =L= 0;

e368..  - b48 + b61 - b62 =L= 0;

e369..  - b46 + b49 - b63 =L= 0;

e370..  - b46 + b51 - b64 =L= 0;

e371..  - b46 + b53 - b65 =L= 0;

e372..  - b46 + b55 - b66 =L= 0;

e373..  - b46 + b57 - b67 =L= 0;

e374..  - b46 + b59 - b68 =L= 0;

e375..  - b46 + b61 - b69 =L= 0;

e376..  - b49 + b51 - b70 =L= 0;

e377..  - b49 + b53 - b71 =L= 0;

e378..  - b49 + b55 - b72 =L= 0;

e379..  - b49 + b57 - b73 =L= 0;

e380..  - b49 + b59 - b74 =L= 0;

e381..  - b49 + b61 - x75 =L= 0;

e382..  - b51 + b53 - x76 =L= 0;

e383..  - b51 + b55 - x77 =L= 0;

e384..  - b51 + b57 - x78 =L= 0;

e385..  - b51 + b59 - x79 =L= 0;

e386..  - b51 + b61 - x80 =L= 0;

e387..  - b53 + b55 - x81 =L= 0;

e388..  - b53 + b57 - x82 =L= 0;

e389..  - b53 + b59 - x83 =L= 0;

e390..  - b53 + b61 - x84 =L= 0;

e391..  - b55 + b57 - x85 =L= 0;

e392..  - b55 + b59 - x86 =L= 0;

e393..  - b55 + b61 - x87 =L= 0;

e394..  - b57 + b59 - x88 =L= 0;

e395..  - b57 + b61 - x89 =L= 0;

e396..  - b59 + b61 - x90 =L= 0;

e397..  - b47 + b50 - b63 =L= 0;

e398..  - b47 + b52 - b64 =L= 0;

e399..  - b47 + b54 - b65 =L= 0;

e400..  - b47 + b56 - b66 =L= 0;

e401..  - b47 + b58 - b67 =L= 0;

e402..  - b47 + b60 - b68 =L= 0;

e403..  - b47 + b62 - b69 =L= 0;

e404..  - b50 + b52 - b70 =L= 0;

e405..  - b50 + b54 - b71 =L= 0;

e406..  - b50 + b56 - b72 =L= 0;

e407..  - b50 + b58 - b73 =L= 0;

e408..  - b50 + b60 - b74 =L= 0;

e409..  - b50 + b62 - x75 =L= 0;

e410..  - b52 + b54 - x76 =L= 0;

e411..  - b52 + b56 - x77 =L= 0;

e412..  - b52 + b58 - x78 =L= 0;

e413..  - b52 + b60 - x79 =L= 0;

e414..  - b52 + b62 - x80 =L= 0;

e415..  - b54 + b56 - x81 =L= 0;

e416..  - b54 + b58 - x82 =L= 0;

e417..  - b54 + b60 - x83 =L= 0;

e418..  - b54 + b62 - x84 =L= 0;

e419..  - b56 + b58 - x85 =L= 0;

e420..  - b56 + b60 - x86 =L= 0;

e421..  - b56 + b62 - x87 =L= 0;

e422..  - b58 + b60 - x88 =L= 0;

e423..  - b58 + b62 - x89 =L= 0;

e424..  - b60 + b62 - x90 =L= 0;

e425..  - b63 + b64 - b70 =L= 0;

e426..  - b63 + b65 - b71 =L= 0;

e427..  - b63 + b66 - b72 =L= 0;

e428..  - b63 + b67 - b73 =L= 0;

e429..  - b63 + b68 - b74 =L= 0;

e430..  - b63 + b69 - x75 =L= 0;

e431..  - b64 + b65 - x76 =L= 0;

e432..  - b64 + b66 - x77 =L= 0;

e433..  - b64 + b67 - x78 =L= 0;

e434..  - b64 + b68 - x79 =L= 0;

e435..  - b64 + b69 - x80 =L= 0;

e436..  - b65 + b66 - x81 =L= 0;

e437..  - b65 + b67 - x82 =L= 0;

e438..  - b65 + b68 - x83 =L= 0;

e439..  - b65 + b69 - x84 =L= 0;

e440..  - b66 + b67 - x85 =L= 0;

e441..  - b66 + b68 - x86 =L= 0;

e442..  - b66 + b69 - x87 =L= 0;

e443..  - b67 + b68 - x88 =L= 0;

e444..  - b67 + b69 - x89 =L= 0;

e445..  - b68 + b69 - x90 =L= 0;

e446..  - b70 + b71 - x76 =L= 0;

e447..  - b70 + b72 - x77 =L= 0;

e448..  - b70 + b73 - x78 =L= 0;

e449..  - b70 + b74 - x79 =L= 0;

e450..  - b70 + x75 - x80 =L= 0;

e451..  - b71 + b72 - x81 =L= 0;

e452..  - b71 + b73 - x82 =L= 0;

e453..  - b71 + b74 - x83 =L= 0;

e454..  - b71 + x75 - x84 =L= 0;

e455..  - b72 + b73 - x85 =L= 0;

e456..  - b72 + b74 - x86 =L= 0;

e457..  - b72 + x75 - x87 =L= 0;

e458..  - b73 + b74 - x88 =L= 0;

e459..  - b73 + x75 - x89 =L= 0;

e460..  - b74 + x75 - x90 =L= 0;

e461..  - x76 + x77 - x81 =L= 0;

e462..  - x76 + x78 - x82 =L= 0;

e463..  - x76 + x79 - x83 =L= 0;

e464..  - x76 + x80 - x84 =L= 0;

e465..  - x77 + x78 - x85 =L= 0;

e466..  - x77 + x79 - x86 =L= 0;

e467..  - x77 + x80 - x87 =L= 0;

e468..  - x78 + x79 - x88 =L= 0;

e469..  - x78 + x80 - x89 =L= 0;

e470..  - x79 + x80 - x90 =L= 0;

e471..  - x81 + x82 - x85 =L= 0;

e472..  - x81 + x83 - x86 =L= 0;

e473..  - x81 + x84 - x87 =L= 0;

e474..  - x82 + x83 - x88 =L= 0;

e475..  - x82 + x84 - x89 =L= 0;

e476..  - x83 + x84 - x90 =L= 0;

e477..  - x85 + x86 - x88 =L= 0;

e478..  - x85 + x87 - x89 =L= 0;

e479..  - x86 + x87 - x90 =L= 0;

e480..  - x88 + x89 - x90 =L= 0;

e481.. 2*b1*b47 - 4*b1 + 2*b47 - 2*b1*b50 + 17*b50 + 2*b1*b60 + 9*b60 - 2*b1*
       b63 + 11*b63 - 2*b1*b64 + b64 - 2*b1*b65 + 9*b65 - 2*b1*b66 + 4*b66 - 2*
       b1*b67 + 5*b67 - 2*b1*b69 + 9*b69 + 2*b1*b70 - 13*b70 + 2*b1*b71 - b71
        + 2*b1*b72 - 3*b72 + 2*b1*b73 - 7*b73 + 2*b1*b74 - 5*b74 + 2*b1*x75 - 
       x75 + 2*b1*x79 + 5*x79 + 2*b1*x83 - 3*x83 + 2*b1*x86 + 2*b1*x88 + x88 - 
       2*b1*x90 + 3*x90 + 2*b2*b47 + 8*b2 - 2*b2*b54 + 15*b54 - 2*b2*b56 + 7*
       b56 + 2*b2*b60 - 2*b2*b62 + 15*b62 - 2*b2*b63 - 2*b2*b64 - 2*b2*b65 - 2*
       b2*b66 - 2*b2*b67 - 2*b2*b69 - 2*b2*b71 - 2*b2*b72 + 2*b2*b74 - 2*b2*x75
        - 2*b2*x76 + 11*x76 - 2*b2*x77 + 5*x77 + 2*b2*x79 - 2*b2*x80 + 11*x80
        + 2*b2*x82 - 5*x82 + 2*b2*x83 + 2*b2*x85 - x85 + 2*b2*x86 + 2*b2*x88 - 
       2*b2*x89 + 5*x89 - 2*b2*x90 - 2*b3*b50 - 11*b3 + 2*b3*b54 + 2*b3*b56 + 2
       *b3*b62 - 2*b3*b63 + 2*b3*b65 + 2*b3*b66 + 2*b3*b69 + 2*b3*b70 + 2*b3*
       b71 + 2*b3*b72 + 2*b3*b73 + 2*b3*b74 + 2*b3*x75 + 2*b3*x76 + 2*b3*x77 + 
       2*b3*x80 - 2*b3*x82 - 2*b3*x83 - 2*b3*x85 - 2*b3*x86 + 2*b3*x89 + 2*b3*
       x90 + 2*b4*b46 - 13*b4 - 14*b46 + 2*b4*b48 - 21*b48 - 2*b4*b50 + 2*b4*
       b51 - 18*b51 + 2*b4*b53 - 12*b53 + 2*b4*b55 - 8*b55 + 2*b4*b56 + 2*b4*
       b57 - 14*b57 + 2*b4*b59 - 12*b59 + 2*b4*b61 - 12*b61 - 2*b4*b63 + 2*b4*
       b66 + 2*b4*b70 + 2*b4*b71 + 2*b4*b72 + 2*b4*b73 + 2*b4*b74 + 2*b4*x75 + 
       2*b4*x77 + 2*b4*x81 - 2*x81 - 2*b4*x85 - 2*b4*x86 - 2*b4*x87 + 2*x87 + 2
       *b5*b46 + 2*b5 + 2*b5*b48 + 2*b5*b49 - 12*b49 + 2*b5*b51 - 2*b5*b54 + 2*
       b5*b57 + 2*b5*b59 - 2*b5*b62 - 2*b5*b65 - 2*b5*b69 - 2*b5*b71 - 2*b5*x75
        - 2*b5*x76 - 2*b5*x80 + 2*b5*x82 + 2*b5*x83 - 2*b5*x89 - 2*b5*x90 - 2*
       b6*b50 - 7*b6 + 2*b6*b58 + 9*b58 - 2*b6*b63 + 2*b6*b67 + 2*b6*b70 + 2*b6
       *b71 + 2*b6*b72 + 2*b6*b73 + 2*b6*b74 + 2*b6*x75 + 2*b6*x78 + 5*x78 + 2*
       b6*x82 + 2*b6*x85 - 2*b6*x88 - 2*b6*x89 - 2*b7*b54 + 7*b7 - 2*b7*b56 + 2
       *b7*b58 - 2*b7*b62 - 2*b7*b65 - 2*b7*b66 + 2*b7*b67 - 2*b7*b69 - 2*b7*
       b71 - 2*b7*b72 + 2*b7*b73 - 2*b7*x75 - 2*b7*x76 - 2*b7*x77 + 2*b7*x78 - 
       2*b7*x80 + 2*b7*x82 + 2*b7*x83 + 2*b7*x85 + 2*b7*x86 - 2*b7*x88 - 2*b7*
       x89 - 2*b7*x90 + 2*b8*b46 - 8*b8 + 2*b8*b47 + 2*b8*b48 - 2*b8*b50 + 2*b8
       *b51 + 2*b8*b53 + 2*b8*b55 + 2*b8*b56 + 2*b8*b57 + 2*b8*b59 + 2*b8*b61
        - 2*b8*b63 - 2*b8*b64 - 2*b8*b65 - 2*b8*b67 - 2*b8*b68 + 6*b68 - 2*b8*
       b69 + 2*b8*b70 + 2*b8*b71 + 2*b8*b72 + 2*b8*b73 + 2*b8*b74 + 2*b8*x75 + 
       2*b8*x77 + 2*b8*x81 - 2*b8*x85 - 2*b8*x86 - 2*b8*x87 + 2*b9*b46 + 5*b9
        + 2*b9*b47 + 2*b9*b48 + 2*b9*b49 + 2*b9*b51 - 2*b9*b54 + 2*b9*b57 + 2*
       b9*b59 - 2*b9*b62 - 2*b9*b63 - 2*b9*b64 - 2*b9*b65 - 2*b9*b67 - 2*b9*b68
        - 2*b9*b69 - 2*b9*b71 - 2*b9*x75 - 2*b9*x76 - 2*b9*x80 + 2*b9*x82 + 2*
       b9*x83 - 2*b9*x89 - 2*b9*x90 + 2*b10*b46 - 17*b10 + 2*b10*b48 - 2*b10*
       b50 + 2*b10*b51 + 2*b10*b53 + 2*b10*b55 + 2*b10*b57 + 2*b10*b59 + 2*b10*
       b60 + 2*b10*b61 - 2*b10*b63 + 2*b10*b68 + 2*b10*b70 + 2*b10*b71 + 2*b10*
       b72 + 2*b10*b73 + 2*b10*b74 + 2*b10*x75 + 2*b10*x79 + 2*b10*x83 + 2*b10*
       x86 + 2*b10*x88 - 2*b10*x90 + 2*b11*b46 - b11 + 2*b11*b48 + 2*b11*b49 + 
       2*b11*b51 - 2*b11*b54 - 2*b11*b56 + 2*b11*b57 + 2*b11*b59 + 2*b11*b60 - 
       2*b11*b62 - 2*b11*b65 - 2*b11*b66 + 2*b11*b68 - 2*b11*b69 - 2*b11*b71 - 
       2*b11*b72 + 2*b11*b74 - 2*b11*x75 - 2*b11*x76 - 2*b11*x77 + 2*b11*x79 - 
       2*b11*x80 + 2*b11*x82 + 2*b11*x83 + 2*b11*x85 + 2*b11*x86 + 2*b11*x88 - 
       2*b11*x89 - 2*b11*x90 - 2*b12*b50 - b12 + 2*b12*b52 + 3*b52 - 2*b12*b63
        + 2*b12*b64 + 2*b12*b70 + 2*b12*b71 + 2*b12*b72 + 2*b12*b73 + 2*b12*b74
        + 2*b12*x75 - 2*b12*x76 - 2*b12*x77 - 2*b12*x78 - 2*b12*x79 - 2*b12*x80
        + 2*b13*b52 + 9*b13 - 2*b13*b54 - 2*b13*b56 - 2*b13*b62 + 2*b13*b64 - 2
       *b13*b65 - 2*b13*b66 - 2*b13*b69 + 2*b13*b70 - 2*b13*b71 - 2*b13*b72 - 2
       *b13*x75 - 2*b13*x76 - 2*b13*x77 - 2*b13*x78 - 2*b13*x79 - 2*b13*x80 + 2
       *b13*x82 + 2*b13*x83 + 2*b13*x85 + 2*b13*x86 - 2*b13*x89 - 2*b13*x90 + 2
       *b14*b46 - 13*b14 + 2*b14*b48 - 2*b14*b50 + 2*b14*b51 + 2*b14*b53 + 2*
       b14*b55 + 2*b14*b56 + 2*b14*b57 + 2*b14*b59 + 2*b14*b61 - 2*b14*b63 + 2*
       b14*b66 + 2*b14*b70 + 2*b14*b71 + 2*b14*b72 + 2*b14*b73 + 2*b14*b74 + 2*
       b14*x75 + 2*b14*x77 + 2*b14*x81 - 2*b14*x85 - 2*b14*x86 - 2*b14*x87 + 2*
       b15*b46 + 2*b15 + 2*b15*b48 + 2*b15*b49 + 2*b15*b51 - 2*b15*b54 + 2*b15*
       b57 + 2*b15*b59 - 2*b15*b62 - 2*b15*b65 - 2*b15*b69 - 2*b15*b71 - 2*b15*
       x75 - 2*b15*x76 - 2*b15*x80 + 2*b15*x82 + 2*b15*x83 - 2*b15*x89 - 2*b15*
       x90 + 2*b16*b46 + 2*b16*b48 - 2*b16*b50 + 2*b16*b51 - 2*b16*b52 + 2*b16*
       b53 - 2*b16*b54 + 2*b16*b55 - 2*b16*b56 + 2*b16*b57 - 2*b16*b58 + 2*b16*
       b59 - 2*b16*b60 + 2*b16*b61 - 2*b16*b62 - 2*b16*b63 - 2*b16*b64 - 2*b16*
       b65 - 2*b16*b66 - 2*b16*b67 - 2*b16*b68 - 2*b16*b69 + 2*b16*b70 + 2*b16*
       b71 + 2*b16*b72 + 2*b16*b73 + 2*b16*b74 + 2*b16*x75 + 2*b17*b46 + 12*b17
        + 2*b17*b48 + 2*b17*b49 - 2*b17*b50 + 2*b17*b51 - 2*b17*b52 - 2*b17*b54
        - 2*b17*b56 + 2*b17*b57 - 2*b17*b58 + 2*b17*b59 - 2*b17*b60 - 2*b17*b62
        - 2*b17*b63 - 2*b17*b64 - 2*b17*b65 - 2*b17*b66 - 2*b17*b67 - 2*b17*b68
        - 2*b17*b69 - 2*b17*b71 - 2*b17*b72 - 2*b17*x75 - 2*b17*x76 - 2*b17*x77
        - 2*b17*x80 + 2*b17*x82 + 2*b17*x83 + 2*b17*x85 + 2*b17*x86 - 2*b17*x89
        - 2*b17*x90 - 2*b18*b47 - 9*b18 + 2*b18*b48 + 2*b18*b49 + 2*b18*b51 + 2
       *b18*b53 + 2*b18*b55 + 2*b18*b56 + 2*b18*b57 - 2*b18*b60 + 2*b18*b61 + 2
       *b18*b63 + 2*b18*b64 + 2*b18*b65 + 2*b18*b66 + 2*b18*b67 + 2*b18*b69 + 2
       *b18*b72 - 2*b18*b74 + 2*b18*x77 - 2*b18*x79 + 2*b18*x81 - 2*b18*x83 - 2
       *b18*x85 - 2*b18*x86 - 2*b18*x87 - 2*b18*x88 + 2*b18*x90 - 2*b19*b47 - 4
       *b19 + 2*b19*b58 - 2*b19*b60 + 2*b19*b63 + 2*b19*b64 + 2*b19*b65 + 2*b19
       *b66 + 2*b19*b67 + 2*b19*b69 + 2*b19*b73 - 2*b19*b74 + 2*b19*x78 - 2*b19
       *x79 + 2*b19*x82 - 2*b19*x83 + 2*b19*x85 - 2*b19*x86 - 2*b19*x88 - 2*b19
       *x89 + 2*b19*x90 + 2*b20*b48 - 4*b20 + 2*b20*b49 + 2*b20*b51 + 2*b20*b53
        + 2*b20*b55 + 2*b20*b56 + 2*b20*b57 - 2*b20*b60 + 2*b20*b61 + 2*b20*b72
        - 2*b20*b74 + 2*b20*x77 - 2*b20*x79 + 2*b20*x81 - 2*b20*x83 - 2*b20*x85
        - 2*b20*x86 - 2*b20*x87 - 2*b20*x88 + 2*b20*x90 - 2*b21*b47 - 12*b21 + 
       2*b21*b48 + 2*b21*b49 + 2*b21*b51 + 2*b21*b53 + 2*b21*b55 + 2*b21*b57 + 
       2*b21*b61 + 2*b21*b63 + 2*b21*b64 + 2*b21*b65 + 2*b21*b66 + 2*b21*b67 + 
       2*b21*b69 - 2*b22*b47 + 2*b22 + 2*b22*b52 - 2*b22*b60 + 2*b22*b63 + 2*
       b22*b64 + 2*b22*b65 + 2*b22*b66 + 2*b22*b67 + 2*b22*b69 + 2*b22*b70 - 2*
       b22*b74 - 2*b22*x76 - 2*b22*x77 - 2*b22*x78 - 2*b22*x79 - 2*b22*x80 - 2*
       b22*x83 - 2*b22*x86 - 2*b22*x88 + 2*b22*x90 - 2*b23*b47 - 9*b23 + 2*b23*
       b48 + 2*b23*b49 + 2*b23*b51 + 2*b23*b53 + 2*b23*b55 + 2*b23*b56 + 2*b23*
       b57 - 2*b23*b60 + 2*b23*b61 + 2*b23*b63 + 2*b23*b64 + 2*b23*b65 + 2*b23*
       b66 + 2*b23*b67 + 2*b23*b69 + 2*b23*b72 - 2*b23*b74 + 2*b23*x77 - 2*b23*
       x79 + 2*b23*x81 - 2*b23*x83 - 2*b23*x85 - 2*b23*x86 - 2*b23*x87 - 2*b23*
       x88 + 2*b23*x90 + 2*b24*b48 + 4*b24 + 2*b24*b49 - 2*b24*b50 + 2*b24*b51
        - 2*b24*b52 + 2*b24*b53 - 2*b24*b54 + 2*b24*b55 - 2*b24*b56 + 2*b24*b57
        - 2*b24*b58 - 2*b24*b60 + 2*b24*b61 - 2*b24*b62 - 2*b24*b74 - 2*b24*x79
        - 2*b24*x83 - 2*b24*x86 - 2*b24*x88 + 2*b24*x90 - 2*b25*b46 + 7*b25 - 2
       *b25*b48 - 2*b25*b49 - 2*b25*b51 - 2*b25*b53 - 2*b25*b55 - 2*b25*b56 + 2
       *b25*b58 - 2*b25*b59 - 2*b25*b61 - 2*b25*b66 + 2*b25*b67 - 2*b25*b72 + 2
       *b25*b73 - 2*b25*x77 + 2*b25*x78 - 2*b25*x81 + 2*b25*x82 + 2*b25*x85 + 2
       *b25*x86 + 2*b25*x87 - 2*b25*x88 - 2*b25*x89 + 2*b26*b46 + 4*b26 + 2*b26
       *b47 - 2*b26*b63 - 2*b26*b64 - 2*b26*b65 - 2*b26*b67 - 2*b26*b68 - 2*b26
       *b69 - 2*b27*b55 - 3*b27 - 2*b27*b56 + 2*b27*b59 + 2*b27*b60 - 2*b27*b66
        + 2*b27*b68 - 2*b27*b72 + 2*b27*b74 - 2*b27*x77 + 2*b27*x79 - 2*b27*x81
        + 2*b27*x83 + 2*b27*x85 + 2*b27*x86 + 2*b27*x87 + 2*b27*x88 - 2*b27*x90
        - 2*b28*b46 + 11*b28 - 2*b28*b48 - 2*b28*b49 + 2*b28*b52 - 2*b28*b53 - 
       2*b28*b55 - 2*b28*b56 - 2*b28*b57 - 2*b28*b59 - 2*b28*b61 + 2*b28*b64 - 
       2*b28*b66 + 2*b28*b70 - 2*b28*b72 - 2*b28*x76 - 2*b28*x77 - 2*b28*x78 - 
       2*b28*x79 - 2*b28*x80 - 2*b28*x81 + 2*b28*x85 + 2*b28*x86 + 2*b28*x87 + 
       2*b30*b46 + 13*b30 + 2*b30*b48 - 2*b30*b50 - 2*b30*b52 - 2*b30*b54 - 2*
       b30*b55 - 2*b30*b56 - 2*b30*b58 - 2*b30*b60 - 2*b30*b62 - 2*b30*b63 - 2*
       b30*b64 - 2*b30*b65 - 2*b30*b66 - 2*b30*b67 - 2*b30*b68 - 2*b30*b69 - 2*
       b30*b72 - 2*b30*x77 - 2*b30*x81 + 2*b30*x85 + 2*b30*x86 + 2*b30*x87 + 2*
       b31*b46 - 2*b31 + 2*b31*b47 + 2*b31*b48 + 2*b31*b49 + 2*b31*b51 + 2*b31*
       b53 + 2*b31*b55 + 2*b31*b56 - 2*b31*b58 + 2*b31*b59 + 2*b31*b61 - 2*b31*
       b63 - 2*b31*b64 - 2*b31*b65 - 2*b31*b67 - 2*b31*b68 - 2*b31*b69 + 2*b31*
       b72 - 2*b31*b73 + 2*b31*x77 - 2*b31*x78 + 2*b31*x81 - 2*b31*x82 - 2*b31*
       x85 - 2*b31*x86 - 2*b31*x87 + 2*b31*x88 + 2*b31*x89 + 2*b32*b46 - 9*b32
        + 2*b32*b48 + 2*b32*b49 + 2*b32*b51 + 2*b32*b53 + 2*b32*b55 - 2*b32*b58
        + 2*b32*b59 + 2*b32*b60 + 2*b32*b61 - 2*b32*b67 + 2*b32*b68 - 2*b32*b73
        + 2*b32*b74 - 2*b32*x78 + 2*b32*x79 - 2*b32*x82 + 2*b32*x83 - 2*b32*x85
        + 2*b32*x86 + 2*b32*x88 + 2*b32*x89 - 2*b32*x90 + 2*b33*b52 + 5*b33 - 2
       *b33*b58 + 2*b33*b64 - 2*b33*b67 + 2*b33*b70 - 2*b33*b73 - 2*b33*x76 - 2
       *b33*x77 - 2*b33*x78 - 2*b33*x79 - 2*b33*x80 - 2*b33*x82 - 2*b33*x85 + 2
       *b33*x88 + 2*b33*x89 + 2*b34*b46 - 7*b34 + 2*b34*b48 + 2*b34*b49 + 2*b34
       *b51 + 2*b34*b53 + 2*b34*b55 + 2*b34*b56 - 2*b34*b58 + 2*b34*b59 + 2*b34
       *b61 + 2*b34*b66 - 2*b34*b67 + 2*b34*b72 - 2*b34*b73 + 2*b34*x77 - 2*b34
       *x78 + 2*b34*x81 - 2*b34*x82 - 2*b34*x85 - 2*b34*x86 - 2*b34*x87 + 2*b34
       *x88 + 2*b34*x89 + 2*b35*b46 + 8*b35 + 2*b35*b48 + 2*b35*b49 - 2*b35*b50
        + 2*b35*b51 - 2*b35*b52 + 2*b35*b53 - 2*b35*b54 + 2*b35*b55 - 2*b35*b56
        - 2*b35*b58 + 2*b35*b59 - 2*b35*b60 + 2*b35*b61 - 2*b35*b62 - 2*b35*b63
        - 2*b35*b64 - 2*b35*b65 - 2*b35*b66 - 2*b35*b67 - 2*b35*b68 - 2*b35*b69
        - 2*b35*b73 - 2*b35*x78 - 2*b35*x82 - 2*b35*x85 + 2*b35*x88 + 2*b35*x89
        - 2*b36*b46 - 7*b36 - 2*b36*b47 - 2*b36*b55 - 2*b36*b56 + 2*b36*b59 + 2
       *b36*b60 + 2*b36*b63 + 2*b36*b64 + 2*b36*b65 + 2*b36*b67 + 2*b36*b68 + 2
       *b36*b69 - 2*b36*b72 + 2*b36*b74 - 2*b36*x77 + 2*b36*x79 - 2*b36*x81 + 2
       *b36*x83 + 2*b36*x85 + 2*b36*x86 + 2*b36*x87 + 2*b36*x88 - 2*b36*x90 - 2
       *b37*b46 + 6*b37 - 2*b37*b47 - 2*b37*b48 - 2*b37*b49 + 2*b37*b52 - 2*b37
       *b53 - 2*b37*b55 - 2*b37*b56 - 2*b37*b57 - 2*b37*b59 - 2*b37*b61 + 2*b37
       *b63 + 2*b37*b64 + 2*b37*b65 + 2*b37*b67 + 2*b37*b68 + 2*b37*b69 + 2*b37
       *b70 - 2*b37*b72 - 2*b37*x76 - 2*b37*x77 - 2*b37*x78 - 2*b37*x79 - 2*b37
       *x80 - 2*b37*x81 + 2*b37*x85 + 2*b37*x86 + 2*b37*x87 - 2*b38*b46 - 4*b38
        - 2*b38*b47 + 2*b38*b63 + 2*b38*b64 + 2*b38*b65 + 2*b38*b67 + 2*b38*b68
        + 2*b38*b69 + 2*b39*b48 + 7*b39 - 2*b39*b50 - 2*b39*b52 - 2*b39*b54 - 2
       *b39*b55 - 2*b39*b56 - 2*b39*b58 - 2*b39*b60 - 2*b39*b62 - 2*b39*b72 - 2
       *b39*x77 - 2*b39*x81 + 2*b39*x85 + 2*b39*x86 + 2*b39*x87 - 2*b40*b46 + 
       15*b40 - 2*b40*b48 - 2*b40*b49 + 2*b40*b52 - 2*b40*b53 - 2*b40*b55 - 2*
       b40*b57 - 2*b40*b59 - 2*b40*b60 - 2*b40*b61 + 2*b40*b64 - 2*b40*b68 + 2*
       b40*b70 - 2*b40*b74 - 2*b40*x76 - 2*b40*x77 - 2*b40*x78 - 2*b40*x79 - 2*
       b40*x80 - 2*b40*x83 - 2*b40*x86 - 2*b40*x88 + 2*b40*x90 + 2*b41*b55 + 3*
       b41 + 2*b41*b56 - 2*b41*b59 - 2*b41*b60 + 2*b41*b66 - 2*b41*b68 + 2*b41*
       b72 - 2*b41*b74 + 2*b41*x77 - 2*b41*x79 + 2*b41*x81 - 2*b41*x83 - 2*b41*
       x85 - 2*b41*x86 - 2*b41*x87 - 2*b41*x88 + 2*b41*x90 + 2*b42*b46 + 17*b42
        + 2*b42*b48 - 2*b42*b50 - 2*b42*b52 - 2*b42*b54 - 2*b42*b56 - 2*b42*b58
        - 2*b42*b59 - 2*b42*b60 - 2*b42*b62 - 2*b42*b63 - 2*b42*b64 - 2*b42*b65
        - 2*b42*b66 - 2*b42*b67 - 2*b42*b68 - 2*b42*b69 - 2*b42*b74 - 2*b42*x79
        - 2*b42*x83 - 2*b42*x86 - 2*b42*x88 + 2*b42*x90 + 2*b43*b46 - 11*b43 + 
       2*b43*b48 + 2*b43*b49 - 2*b43*b52 + 2*b43*b53 + 2*b43*b55 + 2*b43*b56 + 
       2*b43*b57 + 2*b43*b59 + 2*b43*b61 - 2*b43*b64 + 2*b43*b66 - 2*b43*b70 + 
       2*b43*b72 + 2*b43*x76 + 2*b43*x77 + 2*b43*x78 + 2*b43*x79 + 2*b43*x80 + 
       2*b43*x81 - 2*b43*x85 - 2*b43*x86 - 2*b43*x87 + 2*b44*b46 + 2*b44 + 2*
       b44*b48 + 2*b44*b49 - 2*b44*b50 - 2*b44*b52 + 2*b44*b53 - 2*b44*b54 + 2*
       b44*b55 - 2*b44*b56 + 2*b44*b57 - 2*b44*b58 + 2*b44*b59 - 2*b44*b60 + 2*
       b44*b61 - 2*b44*b62 - 2*b44*b63 - 2*b44*b64 - 2*b44*b65 - 2*b44*b66 - 2*
       b44*b67 - 2*b44*b68 - 2*b44*b69 - 2*b44*b70 + 2*b44*x76 + 2*b44*x77 + 2*
       b44*x78 + 2*b44*x79 + 2*b44*x80 + 2*b45*b46 + 13*b45 + 2*b45*b48 - 2*b45
       *b50 - 2*b45*b52 - 2*b45*b54 - 2*b45*b55 - 2*b45*b56 - 2*b45*b58 - 2*b45
       *b60 - 2*b45*b62 - 2*b45*b63 - 2*b45*b64 - 2*b45*b65 - 2*b45*b66 - 2*b45
       *b67 - 2*b45*b68 - 2*b45*b69 - 2*b45*b72 - 2*b45*x77 - 2*b45*x81 + 2*b45
       *x85 + 2*b45*x86 + 2*b45*x87 + objvar =G= 1296;

* set non-default bounds
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 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: 2018-09-14 Git hash: ac5a5314
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