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Instance: edgecross10-060

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
459.00000000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
458.99999950 (ANTIGONE)
458.99999920 (BARON)
459.00000000 (COUENNE)
459.00000000 (LINDO)
459.00000000 (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.10.10.60.1
Application Edge-crossing minimization in bipartite graphs
Added to library 26 Feb 2014
Problem type MBQCP
#Variables 91
#Binary Variables 44
#Integer Variables 0
#Nonlinear Variables 90
#Nonlinear Binary Variables 44
#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 1531
#Nonlinear Nonzeros in Jacobian 90
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1964
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 90
Maximal blocksize in Hessian of Lagrangian 90
Average blocksize in Hessian of Lagrangian 90.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 755
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       47       44        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1531     1441       90        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,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,objvar;

Positive Variables  x45,x46,x47,x48,x49,x50,x51,x52,x53,x54,x55,x56,x57,x58
          ,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70,x71,x72,x73,x74,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;

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 + x45 =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 + x45 =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 + x45 =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 + x45 =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 + x45 =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 + x45 =L= 1;

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

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

e119..    b41 - b42 + x45 =L= 1;

e120..    b43 - b44 + x45 =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 - x45 =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 - x45 =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 - x45 =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 - x45 =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 - x45 =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 - x45 =L= 0;

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

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

e239..  - b41 + b42 - x45 =L= 0;

e240..  - b43 + b44 - x45 =L= 0;

e241..  - x46 + x47 + x48 =L= 1;

e242..    x48 - x49 + x50 =L= 1;

e243..    x48 - x51 + x52 =L= 1;

e244..    x48 - x53 + x54 =L= 1;

e245..    x48 - x55 + x56 =L= 1;

e246..    x48 - x57 + x58 =L= 1;

e247..    x48 - x59 + x60 =L= 1;

e248..    x48 - x61 + x62 =L= 1;

e249..    x46 - x49 + x63 =L= 1;

e250..    x46 - x51 + x64 =L= 1;

e251..    x46 - x53 + x65 =L= 1;

e252..    x46 - x55 + x66 =L= 1;

e253..    x46 - x57 + x67 =L= 1;

e254..    x46 - x59 + x68 =L= 1;

e255..    x46 - x61 + x69 =L= 1;

e256..    x49 - x51 + x70 =L= 1;

e257..    x49 - x53 + x71 =L= 1;

e258..    x49 - x55 + x72 =L= 1;

e259..    x49 - x57 + x73 =L= 1;

e260..    x49 - x59 + x74 =L= 1;

e261..    x49 - x61 + x75 =L= 1;

e262..    x51 - x53 + x76 =L= 1;

e263..    x51 - x55 + x77 =L= 1;

e264..    x51 - x57 + x78 =L= 1;

e265..    x51 - x59 + x79 =L= 1;

e266..    x51 - x61 + x80 =L= 1;

e267..    x53 - x55 + x81 =L= 1;

e268..    x53 - x57 + x82 =L= 1;

e269..    x53 - x59 + x83 =L= 1;

e270..    x53 - x61 + x84 =L= 1;

e271..    x55 - x57 + x85 =L= 1;

e272..    x55 - x59 + x86 =L= 1;

e273..    x55 - x61 + x87 =L= 1;

e274..    x57 - x59 + x88 =L= 1;

e275..    x57 - x61 + x89 =L= 1;

e276..    x59 - x61 + x90 =L= 1;

e277..    x47 - x50 + x63 =L= 1;

e278..    x47 - x52 + x64 =L= 1;

e279..    x47 - x54 + x65 =L= 1;

e280..    x47 - x56 + x66 =L= 1;

e281..    x47 - x58 + x67 =L= 1;

e282..    x47 - x60 + x68 =L= 1;

e283..    x47 - x62 + x69 =L= 1;

e284..    x50 - x52 + x70 =L= 1;

e285..    x50 - x54 + x71 =L= 1;

e286..    x50 - x56 + x72 =L= 1;

e287..    x50 - x58 + x73 =L= 1;

e288..    x50 - x60 + x74 =L= 1;

e289..    x50 - x62 + x75 =L= 1;

e290..    x52 - x54 + x76 =L= 1;

e291..    x52 - x56 + x77 =L= 1;

e292..    x52 - x58 + x78 =L= 1;

e293..    x52 - x60 + x79 =L= 1;

e294..    x52 - x62 + x80 =L= 1;

e295..    x54 - x56 + x81 =L= 1;

e296..    x54 - x58 + x82 =L= 1;

e297..    x54 - x60 + x83 =L= 1;

e298..    x54 - x62 + x84 =L= 1;

e299..    x56 - x58 + x85 =L= 1;

e300..    x56 - x60 + x86 =L= 1;

e301..    x56 - x62 + x87 =L= 1;

e302..    x58 - x60 + x88 =L= 1;

e303..    x58 - x62 + x89 =L= 1;

e304..    x60 - x62 + x90 =L= 1;

e305..    x63 - x64 + x70 =L= 1;

e306..    x63 - x65 + x71 =L= 1;

e307..    x63 - x66 + x72 =L= 1;

e308..    x63 - x67 + x73 =L= 1;

e309..    x63 - x68 + x74 =L= 1;

e310..    x63 - x69 + x75 =L= 1;

e311..    x64 - x65 + x76 =L= 1;

e312..    x64 - x66 + x77 =L= 1;

e313..    x64 - x67 + x78 =L= 1;

e314..    x64 - x68 + x79 =L= 1;

e315..    x64 - x69 + x80 =L= 1;

e316..    x65 - x66 + x81 =L= 1;

e317..    x65 - x67 + x82 =L= 1;

e318..    x65 - x68 + x83 =L= 1;

e319..    x65 - x69 + x84 =L= 1;

e320..    x66 - x67 + x85 =L= 1;

e321..    x66 - x68 + x86 =L= 1;

e322..    x66 - x69 + x87 =L= 1;

e323..    x67 - x68 + x88 =L= 1;

e324..    x67 - x69 + x89 =L= 1;

e325..    x68 - x69 + x90 =L= 1;

e326..    x70 - x71 + x76 =L= 1;

e327..    x70 - x72 + x77 =L= 1;

e328..    x70 - x73 + x78 =L= 1;

e329..    x70 - x74 + x79 =L= 1;

e330..    x70 - x75 + x80 =L= 1;

e331..    x71 - x72 + x81 =L= 1;

e332..    x71 - x73 + x82 =L= 1;

e333..    x71 - x74 + x83 =L= 1;

e334..    x71 - x75 + x84 =L= 1;

e335..    x72 - x73 + x85 =L= 1;

e336..    x72 - x74 + x86 =L= 1;

e337..    x72 - x75 + x87 =L= 1;

e338..    x73 - x74 + x88 =L= 1;

e339..    x73 - x75 + x89 =L= 1;

e340..    x74 - 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..    x46 - x47 - x48 =L= 0;

e362..  - x48 + x49 - x50 =L= 0;

e363..  - x48 + x51 - x52 =L= 0;

e364..  - x48 + x53 - x54 =L= 0;

e365..  - x48 + x55 - x56 =L= 0;

e366..  - x48 + x57 - x58 =L= 0;

e367..  - x48 + x59 - x60 =L= 0;

e368..  - x48 + x61 - x62 =L= 0;

e369..  - x46 + x49 - x63 =L= 0;

e370..  - x46 + x51 - x64 =L= 0;

e371..  - x46 + x53 - x65 =L= 0;

e372..  - x46 + x55 - x66 =L= 0;

e373..  - x46 + x57 - x67 =L= 0;

e374..  - x46 + x59 - x68 =L= 0;

e375..  - x46 + x61 - x69 =L= 0;

e376..  - x49 + x51 - x70 =L= 0;

e377..  - x49 + x53 - x71 =L= 0;

e378..  - x49 + x55 - x72 =L= 0;

e379..  - x49 + x57 - x73 =L= 0;

e380..  - x49 + x59 - x74 =L= 0;

e381..  - x49 + x61 - x75 =L= 0;

e382..  - x51 + x53 - x76 =L= 0;

e383..  - x51 + x55 - x77 =L= 0;

e384..  - x51 + x57 - x78 =L= 0;

e385..  - x51 + x59 - x79 =L= 0;

e386..  - x51 + x61 - x80 =L= 0;

e387..  - x53 + x55 - x81 =L= 0;

e388..  - x53 + x57 - x82 =L= 0;

e389..  - x53 + x59 - x83 =L= 0;

e390..  - x53 + x61 - x84 =L= 0;

e391..  - x55 + x57 - x85 =L= 0;

e392..  - x55 + x59 - x86 =L= 0;

e393..  - x55 + x61 - x87 =L= 0;

e394..  - x57 + x59 - x88 =L= 0;

e395..  - x57 + x61 - x89 =L= 0;

e396..  - x59 + x61 - x90 =L= 0;

e397..  - x47 + x50 - x63 =L= 0;

e398..  - x47 + x52 - x64 =L= 0;

e399..  - x47 + x54 - x65 =L= 0;

e400..  - x47 + x56 - x66 =L= 0;

e401..  - x47 + x58 - x67 =L= 0;

e402..  - x47 + x60 - x68 =L= 0;

e403..  - x47 + x62 - x69 =L= 0;

e404..  - x50 + x52 - x70 =L= 0;

e405..  - x50 + x54 - x71 =L= 0;

e406..  - x50 + x56 - x72 =L= 0;

e407..  - x50 + x58 - x73 =L= 0;

e408..  - x50 + x60 - x74 =L= 0;

e409..  - x50 + x62 - x75 =L= 0;

e410..  - x52 + x54 - x76 =L= 0;

e411..  - x52 + x56 - x77 =L= 0;

e412..  - x52 + x58 - x78 =L= 0;

e413..  - x52 + x60 - x79 =L= 0;

e414..  - x52 + x62 - x80 =L= 0;

e415..  - x54 + x56 - x81 =L= 0;

e416..  - x54 + x58 - x82 =L= 0;

e417..  - x54 + x60 - x83 =L= 0;

e418..  - x54 + x62 - x84 =L= 0;

e419..  - x56 + x58 - x85 =L= 0;

e420..  - x56 + x60 - x86 =L= 0;

e421..  - x56 + x62 - x87 =L= 0;

e422..  - x58 + x60 - x88 =L= 0;

e423..  - x58 + x62 - x89 =L= 0;

e424..  - x60 + x62 - x90 =L= 0;

e425..  - x63 + x64 - x70 =L= 0;

e426..  - x63 + x65 - x71 =L= 0;

e427..  - x63 + x66 - x72 =L= 0;

e428..  - x63 + x67 - x73 =L= 0;

e429..  - x63 + x68 - x74 =L= 0;

e430..  - x63 + x69 - x75 =L= 0;

e431..  - x64 + x65 - x76 =L= 0;

e432..  - x64 + x66 - x77 =L= 0;

e433..  - x64 + x67 - x78 =L= 0;

e434..  - x64 + x68 - x79 =L= 0;

e435..  - x64 + x69 - x80 =L= 0;

e436..  - x65 + x66 - x81 =L= 0;

e437..  - x65 + x67 - x82 =L= 0;

e438..  - x65 + x68 - x83 =L= 0;

e439..  - x65 + x69 - x84 =L= 0;

e440..  - x66 + x67 - x85 =L= 0;

e441..  - x66 + x68 - x86 =L= 0;

e442..  - x66 + x69 - x87 =L= 0;

e443..  - x67 + x68 - x88 =L= 0;

e444..  - x67 + x69 - x89 =L= 0;

e445..  - x68 + x69 - x90 =L= 0;

e446..  - x70 + x71 - x76 =L= 0;

e447..  - x70 + x72 - x77 =L= 0;

e448..  - x70 + x73 - x78 =L= 0;

e449..  - x70 + x74 - x79 =L= 0;

e450..  - x70 + x75 - x80 =L= 0;

e451..  - x71 + x72 - x81 =L= 0;

e452..  - x71 + x73 - x82 =L= 0;

e453..  - x71 + x74 - x83 =L= 0;

e454..  - x71 + x75 - x84 =L= 0;

e455..  - x72 + x73 - x85 =L= 0;

e456..  - x72 + x74 - x86 =L= 0;

e457..  - x72 + x75 - x87 =L= 0;

e458..  - x73 + x74 - x88 =L= 0;

e459..  - x73 + x75 - x89 =L= 0;

e460..  - x74 + 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*x47 + 2*b1 + 3*x47 - 2*b1*x50 + 17*x50 + 2*b1*x58 + 8*x58 - 2*b1*
       x62 + 16*x62 - 2*b1*x63 + 13*x63 - 2*b1*x64 - 2*x64 - 2*b1*x65 + 6*x65
        - 2*b1*x66 + 4*x66 - 2*b1*x69 + 12*x69 + 2*b1*x70 - 14*x70 + 2*b1*x71
        - 2*x71 + 2*b1*x72 - 6*x72 + 2*b1*x73 - 6*x73 + 2*b1*x78 + 5*x78 - 2*b1
       *x80 + 12*x80 + 2*b1*x82 - 2*x82 - 2*b1*x84 + 3*x84 + 2*b1*x85 + x85 - 2
       *b1*x87 + 6*x87 - 2*b1*x89 + 6*x89 + 2*b2*x47 + 2*b2 - 2*b2*x50 - 2*b2*
       x54 + 7*x54 - 2*b2*x56 + 6*x56 + 2*b2*x58 + 2*b2*x60 + 8*x60 - 2*b2*x62
        - 2*b2*x63 - 2*b2*x64 - 2*b2*x65 - 2*b2*x66 - 2*b2*x69 + 2*b2*x70 + 2*
       b2*x73 + 2*b2*x74 - 3*x74 - 2*b2*x76 + 4*x76 - 2*b2*x77 + 5*x77 + 2*b2*
       x78 + 2*b2*x79 + 6*x79 - 2*b2*x80 + 2*b2*x82 + 2*b2*x83 - 2*x83 + 2*b2*
       x85 + 2*b2*x86 + 2*x86 - 2*b2*x89 - 2*b2*x90 + 3*x90 + 2*b3*x54 + 2*b3
        + 2*b3*x56 - 2*b3*x60 + 2*b3*x65 + 2*b3*x66 - 2*b3*x68 + 7*x68 + 2*b3*
       x76 + 2*b3*x77 - 2*b3*x79 - 2*b3*x82 - 2*b3*x83 - 2*b3*x85 - 2*b3*x86 - 
       2*b3*x88 + x88 + 2*b4*x46 - 6*b4 - 12*x46 + 2*b4*x48 - 14*x48 - 2*b4*x50
        + 2*b4*x51 - 11*x51 + 2*b4*x53 - 4*x53 + 2*b4*x54 + 2*b4*x55 - 7*x55 + 
       2*b4*x56 + 2*b4*x57 - 8*x57 - 2*b4*x62 - 2*b4*x63 + 2*b4*x65 + 2*b4*x66
        - 2*b4*x69 + 2*b4*x70 + 2*b4*x71 + 2*b4*x72 + 2*b4*x73 + 2*b4*x76 + 2*
       b4*x77 - 2*b4*x80 - 2*b4*x82 - 2*b4*x84 - 2*b4*x85 - 2*b4*x87 - 2*b4*x89
        + 2*b5*x46 - 5*b5 + 2*b5*x48 - 2*b5*x50 + 2*b5*x51 + 2*b5*x57 + 2*b5*
       x59 - 6*x59 + 2*b5*x60 - 2*b5*x62 - 2*b5*x63 + 2*b5*x68 - 2*b5*x69 + 2*
       b5*x70 + 2*b5*x73 + 2*b5*x74 + 2*b5*x79 - 2*b5*x80 + 2*b5*x88 - 2*b5*x89
        - 2*b5*x90 - 2*b6*x47 + 10*b6 - 2*b6*x50 - 2*b6*x56 - 2*b6*x60 - 2*b6*
       x62 - 2*b6*x63 + 2*b6*x64 + 2*b6*x65 + 2*b6*x67 + 6*x67 - 2*b6*x68 - 2*
       b6*x69 + 2*b6*x70 + 2*b6*x71 + 2*b6*x72 + 2*b6*x73 - 2*b6*x77 - 2*b6*x79
        - 2*b6*x80 - 2*b6*x81 - 2*x81 - 2*b6*x83 - 2*b6*x84 + 2*b6*x85 - 2*b6*
       x86 - 2*b6*x87 - 2*b6*x88 - 2*b6*x89 - 2*b7*x47 + 7*b7 - 2*b7*x50 - 2*b7
       *x56 - 2*b7*x60 - 2*b7*x62 - 2*b7*x63 + 2*b7*x64 - 2*b7*x66 + 2*b7*x67
        - 2*b7*x69 + 2*b7*x70 + 2*b7*x73 + 2*b7*x74 - 2*b7*x77 - 2*b7*x79 - 2*
       b7*x80 + 2*b7*x85 + 2*b7*x86 - 2*b7*x88 - 2*b7*x89 - 2*b7*x90 + 2*b8*x46
        + 3*b8 + 2*b8*x48 - 2*b8*x50 + 2*b8*x51 + 2*b8*x53 + 2*b8*x55 + 2*b8*
       x57 - 2*b8*x58 - 2*b8*x60 - 2*b8*x63 - 2*b8*x67 - 2*b8*x68 + 2*b8*x70 + 
       2*b8*x71 + 2*b8*x72 + 2*b8*x73 - 2*b8*x78 - 2*b8*x79 - 2*b8*x82 - 2*b8*
       x83 - 2*b8*x85 - 2*b8*x86 - 2*b8*x88 + 2*b9*x46 + 2*b9*x48 - 2*b9*x50 + 
       2*b9*x51 + 2*b9*x57 - 2*b9*x58 + 2*b9*x59 - 2*b9*x60 - 2*b9*x63 - 2*b9*
       x67 - 2*b9*x68 + 2*b9*x70 + 2*b9*x73 + 2*b9*x74 - 2*b9*x78 - 2*b9*x79 + 
       2*b10*x52 - 4*b10 + x52 + 2*b10*x58 + 2*b10*x64 + 2*b10*x67 - 2*b10*x76
        - 2*b10*x77 + 2*b10*x82 + 2*b10*x85 + 2*b11*x52 - 4*b11 - 2*b11*x54 - 2
       *b11*x56 + 2*b11*x58 + 2*b11*x60 + 2*b11*x64 - 2*b11*x65 - 2*b11*x66 + 2
       *b11*x67 + 2*b11*x68 - 2*b11*x76 - 2*b11*x77 + 2*b11*x82 + 2*b11*x83 + 2
       *b11*x85 + 2*b11*x86 - 2*b12*x50 + 10*b12 + 2*b12*x52 + 2*b12*x54 - 2*
       b12*x60 - 2*b12*x62 - 2*b12*x63 + 2*b12*x64 + 2*b12*x65 - 2*b12*x68 - 2*
       b12*x69 + 2*b12*x70 + 2*b12*x71 + 2*b12*x72 + 2*b12*x73 - 2*b12*x77 - 2*
       b12*x78 - 2*b12*x79 - 2*b12*x80 - 2*b12*x81 - 2*b12*x82 - 2*b12*x83 - 2*
       b12*x84 - 2*b12*x86 - 2*b12*x87 - 2*b12*x88 - 2*b12*x89 - 2*b13*x50 + 5*
       b13 + 2*b13*x52 - 2*b13*x56 - 2*b13*x62 - 2*b13*x63 + 2*b13*x64 - 2*b13*
       x66 - 2*b13*x69 + 2*b13*x70 + 2*b13*x73 + 2*b13*x74 - 2*b13*x77 - 2*b13*
       x78 - 2*b13*x79 - 2*b13*x80 + 2*b13*x85 + 2*b13*x86 - 2*b13*x89 - 2*b13*
       x90 + 2*b14*x46 + b14 + 2*b14*x48 - 2*b14*x50 + 2*b14*x51 + 2*b14*x53 + 
       2*b14*x55 + 2*b14*x56 + 2*b14*x57 - 2*b14*x60 - 2*b14*x62 - 2*b14*x63 + 
       2*b14*x66 - 2*b14*x68 - 2*b14*x69 + 2*b14*x70 + 2*b14*x71 + 2*b14*x72 + 
       2*b14*x73 + 2*b14*x77 - 2*b14*x79 - 2*b14*x80 + 2*b14*x81 - 2*b14*x83 - 
       2*b14*x84 - 2*b14*x85 - 2*b14*x86 - 2*b14*x87 - 2*b14*x88 - 2*b14*x89 + 
       2*b15*x46 + 2*b15*x48 - 2*b15*x50 + 2*b15*x51 - 2*b15*x54 + 2*b15*x57 + 
       2*b15*x59 - 2*b15*x62 - 2*b15*x63 - 2*b15*x65 - 2*b15*x69 + 2*b15*x70 + 
       2*b15*x73 + 2*b15*x74 - 2*b15*x76 - 2*b15*x80 + 2*b15*x82 + 2*b15*x83 - 
       2*b15*x89 - 2*b15*x90 + 2*b16*x46 + 6*b16 + 2*b16*x48 - 2*b16*x50 + 2*
       b16*x51 - 2*b16*x52 + 2*b16*x53 - 2*b16*x54 + 2*b16*x55 - 2*b16*x56 + 2*
       b16*x57 - 2*b16*x58 - 2*b16*x62 - 2*b16*x63 - 2*b16*x64 - 2*b16*x65 - 2*
       b16*x66 - 2*b16*x67 - 2*b16*x69 + 2*b16*x70 + 2*b16*x71 + 2*b16*x72 + 2*
       b16*x73 - 2*b16*x80 - 2*b16*x84 - 2*b16*x87 - 2*b16*x89 + 2*b17*x46 + 3*
       b17 + 2*b17*x48 - 2*b17*x50 + 2*b17*x51 - 2*b17*x52 - 2*b17*x54 - 2*b17*
       x56 + 2*b17*x57 - 2*b17*x58 + 2*b17*x59 - 2*b17*x62 - 2*b17*x63 - 2*b17*
       x64 - 2*b17*x65 - 2*b17*x66 - 2*b17*x67 - 2*b17*x69 + 2*b17*x70 + 2*b17*
       x73 + 2*b17*x74 - 2*b17*x76 - 2*b17*x77 + 2*b17*x79 - 2*b17*x80 + 2*b17*
       x82 + 2*b17*x83 + 2*b17*x85 + 2*b17*x86 + 2*b17*x88 - 2*b17*x89 - 2*b17*
       x90 - 2*b18*x47 - 10*b18 + 2*b18*x48 + 2*b18*x49 - 6*x49 + 2*b18*x51 + 2
       *b18*x53 + 2*b18*x54 + 2*b18*x55 + 2*b18*x56 - 2*b18*x58 + 2*b18*x61 - 5
       *x61 + 2*b18*x63 + 2*b18*x64 + 2*b18*x65 + 2*b18*x66 + 2*b18*x69 + 2*b18
       *x71 + 2*b18*x72 - 2*b18*x73 + 2*b18*x76 + 2*b18*x77 - 2*b18*x78 - 2*b18
       *x82 - 2*b18*x84 - 2*b18*x85 - 2*b18*x87 + 2*b18*x89 - 2*b19*x47 + 5*b19
        - 2*b19*x50 - 2*b19*x56 - 2*b19*x60 - 2*b19*x62 + 2*b19*x63 + 2*b19*x64
        + 2*b19*x65 + 2*b19*x66 + 2*b19*x69 + 2*b19*x70 + 2*b19*x71 - 2*b19*x74
        - 2*b19*x77 - 2*b19*x79 - 2*b19*x80 - 2*b19*x81 - 2*b19*x83 - 2*b19*x84
        - 2*b19*x86 + 2*b19*x90 + 2*b20*x48 - b20 + 2*b20*x49 - 2*b20*x50 + 2*
       b20*x51 + 2*b20*x53 + 2*b20*x55 - 2*b20*x58 - 2*b20*x60 + 2*b20*x61 + 2*
       b20*x70 + 2*b20*x71 + 2*b20*x72 - 2*b20*x73 - 2*b20*x74 + 2*b20*x75 - 2*
       b20*x78 - 2*b20*x79 - 2*b20*x82 - 2*b20*x83 - 2*b20*x85 - 2*b20*x86 + 2*
       b20*x89 + 2*b20*x90 - 2*b21*x47 - 5*b21 + 2*b21*x50 + 2*b21*x52 + 2*b21*
       x62 + 2*b21*x63 + 2*b21*x64 + 2*b21*x65 + 2*b21*x66 + 2*b21*x69 - 2*b21*
       x71 - 2*b21*x72 - 2*b21*x76 - 2*b21*x77 + 2*b21*x84 + 2*b21*x87 - 2*b22*
       x47 + 4*b22 + 2*b22*x52 + 2*b22*x54 - 2*b22*x58 - 2*b22*x60 + 2*b22*x63
        + 2*b22*x64 + 2*b22*x65 + 2*b22*x66 + 2*b22*x69 + 2*b22*x70 + 2*b22*x71
        - 2*b22*x73 - 2*b22*x74 - 2*b22*x77 - 2*b22*x78 - 2*b22*x79 - 2*b22*x80
        - 2*b22*x81 - 2*b22*x82 - 2*b22*x83 - 2*b22*x84 - 2*b22*x85 - 2*b22*x86
        + 2*b22*x89 + 2*b22*x90 - 2*b23*x47 - 5*b23 + 2*b23*x48 + 2*b23*x49 + 2
       *b23*x51 + 2*b23*x53 + 2*b23*x55 + 2*b23*x56 - 2*b23*x58 - 2*b23*x60 + 2
       *b23*x61 + 2*b23*x63 + 2*b23*x64 + 2*b23*x65 + 2*b23*x66 + 2*b23*x69 + 2
       *b23*x72 - 2*b23*x73 - 2*b23*x74 + 2*b23*x77 - 2*b23*x78 - 2*b23*x79 + 2
       *b23*x81 - 2*b23*x82 - 2*b23*x83 - 2*b23*x85 - 2*b23*x86 - 2*b23*x87 + 2
       *b23*x89 + 2*b23*x90 + 2*b24*x48 + 3*b24 + 2*b24*x49 - 2*b24*x50 + 2*b24
       *x51 - 2*b24*x52 + 2*b24*x53 - 2*b24*x54 + 2*b24*x55 - 2*b24*x56 - 2*b24
       *x58 + 2*b24*x61 - 2*b24*x62 - 2*b24*x73 - 2*b24*x78 - 2*b24*x82 - 2*b24
       *x85 + 2*b24*x89 - 2*b25*x46 + 12*b25 - 2*b25*x47 - 2*b25*x49 - 2*b25*
       x50 - 2*b25*x55 - 2*b25*x56 - 2*b25*x59 - 2*b25*x60 - 2*b25*x61 - 2*b25*
       x62 + 2*b25*x64 - 2*b25*x66 + 2*b25*x67 - 2*b25*x68 + 2*b25*x70 - 2*b25*
       x72 + 2*b25*x73 - 2*b25*x74 - 2*b25*x77 - 2*b25*x79 - 2*b25*x80 + 2*b25*
       x85 + 2*b25*x87 - 2*b25*x88 - 2*b25*x89 + 2*b25*x90 + 2*b26*x46 + 3*b26
        + 2*b26*x48 - 2*b26*x50 + 2*b26*x51 - 2*b26*x58 - 2*b26*x59 - 2*b26*x60
        + 2*b26*x61 - 2*b26*x63 - 2*b26*x67 - 2*b26*x68 + 2*b26*x70 - 2*b26*x74
        + 2*b26*x75 - 2*b26*x78 - 2*b26*x79 - 2*b26*x88 + 2*b26*x89 + 2*b26*x90
        - 2*b27*x46 - 2*b27*x48 + 2*b27*x50 + 2*b27*x52 - 2*b27*x53 - 2*b27*x54
        - 2*b27*x55 - 2*b27*x56 + 2*b27*x58 + 2*b27*x62 + 2*b27*x63 + 2*b27*x64
        - 2*b27*x65 - 2*b27*x66 + 2*b27*x67 + 2*b27*x69 - 2*b27*x71 - 2*b27*x72
        - 2*b27*x76 - 2*b27*x77 + 2*b27*x82 + 2*b27*x84 + 2*b27*x85 + 2*b27*x87
        - 2*b28*x46 + 12*b28 - 2*b28*x48 - 2*b28*x49 + 2*b28*x52 - 2*b28*x55 - 
       2*b28*x56 - 2*b28*x57 - 2*b28*x59 - 2*b28*x60 - 2*b28*x61 + 2*b28*x64 - 
       2*b28*x66 - 2*b28*x68 + 2*b28*x70 - 2*b28*x72 - 2*b28*x74 - 2*b28*x77 - 
       2*b28*x78 - 2*b28*x79 - 2*b28*x80 + 2*b28*x85 + 2*b28*x87 - 2*b28*x88 + 
       2*b28*x90 - 2*b29*x53 + 8*b29 - 2*b29*x54 - 2*b29*x59 - 2*b29*x60 - 2*
       b29*x65 - 2*b29*x68 - 2*b29*x71 - 2*b29*x74 - 2*b29*x76 - 2*b29*x79 + 2*
       b29*x82 + 2*b29*x84 - 2*b29*x88 + 2*b29*x90 + 2*b30*x46 + 12*b30 + 2*b30
       *x48 - 2*b30*x50 - 2*b30*x52 - 2*b30*x53 - 2*b30*x54 - 2*b30*x55 - 2*b30
       *x56 - 2*b30*x58 - 2*b30*x62 - 2*b30*x63 - 2*b30*x64 - 2*b30*x65 - 2*b30
       *x66 - 2*b30*x67 - 2*b30*x69 - 2*b30*x71 - 2*b30*x72 - 2*b30*x76 - 2*b30
       *x77 + 2*b30*x82 + 2*b30*x84 + 2*b30*x85 + 2*b30*x87 + 2*b31*x46 - 4*b31
        + 2*b31*x49 + 2*b31*x55 + 2*b31*x59 + 2*b31*x61 - 2*b31*x63 - 2*b31*x67
        - 2*b31*x68 + 2*b31*x72 - 2*b31*x73 + 2*b31*x75 - 2*b31*x85 - 2*b31*x86
        + 2*b31*x88 + 2*b31*x89 + 2*b31*x90 + 2*b32*x47 - 10*b32 + 2*b32*x50 + 
       2*b32*x56 + 2*b32*x60 + 2*b32*x62 + 2*b32*x63 - 2*b32*x65 + 2*b32*x68 + 
       2*b32*x69 - 2*b32*x71 - 2*b32*x72 + 2*b32*x81 + 2*b32*x83 + 2*b32*x84 + 
       2*b32*x86 + 2*b32*x87 + 2*b33*x47 - 4*b33 + 2*b33*x50 + 2*b33*x56 + 2*
       b33*x60 + 2*b33*x62 - 2*b33*x67 - 2*b33*x73 - 2*b33*x85 + 2*b33*x88 + 2*
       b33*x89 + 2*b34*x46 - 11*b34 + 2*b34*x47 + 2*b34*x49 + 2*b34*x50 + 2*b34
       *x55 + 2*b34*x56 + 2*b34*x59 + 2*b34*x60 + 2*b34*x61 + 2*b34*x62 - 2*b34
       *x64 - 2*b34*x65 + 2*b34*x66 - 2*b34*x67 - 2*b34*x70 - 2*b34*x71 + 2*b34
       *x72 - 2*b34*x73 + 2*b34*x77 + 2*b34*x79 + 2*b34*x80 + 2*b34*x81 + 2*b34
       *x83 + 2*b34*x84 - 2*b34*x85 - 2*b34*x86 - 2*b34*x87 + 2*b34*x88 + 2*b34
       *x89 + 2*b35*x46 - 4*b35 + 2*b35*x49 + 2*b35*x55 + 2*b35*x59 + 2*b35*x61
        - 2*b35*x63 - 2*b35*x64 - 2*b35*x65 - 2*b35*x66 - 2*b35*x67 - 2*b35*x69
        - 2*b35*x70 - 2*b35*x71 - 2*b35*x73 + 2*b35*x74 + 2*b35*x77 + 2*b35*x79
        + 2*b35*x80 + 2*b35*x81 + 2*b35*x83 + 2*b35*x84 - 2*b35*x85 + 2*b35*x86
        + 2*b35*x88 + 2*b35*x89 - 2*b35*x90 - 2*b36*x46 - 4*b36 - 2*b36*x48 + 2
       *b36*x50 - 2*b36*x53 - 2*b36*x55 + 2*b36*x58 + 2*b36*x60 + 2*b36*x63 + 2
       *b36*x67 + 2*b36*x68 - 2*b36*x71 - 2*b36*x72 + 2*b36*x82 + 2*b36*x83 + 2
       *b36*x85 + 2*b36*x86 - 2*b37*x46 + 3*b37 - 2*b37*x48 - 2*b37*x49 + 2*b37
       *x50 - 2*b37*x55 - 2*b37*x57 + 2*b37*x58 - 2*b37*x59 + 2*b37*x60 - 2*b37
       *x61 + 2*b37*x63 + 2*b37*x67 + 2*b37*x68 - 2*b37*x72 - 2*b37*x75 + 2*b37
       *x85 + 2*b37*x86 - 2*b37*x89 - 2*b37*x90 - 2*b38*x46 - 2*b38*x48 + 2*b38
       *x50 - 2*b38*x51 - 2*b38*x53 + 2*b38*x58 + 2*b38*x60 - 2*b38*x61 + 2*b38
       *x63 + 2*b38*x67 + 2*b38*x68 - 2*b38*x70 - 2*b38*x71 - 2*b38*x75 + 2*b38
       *x78 + 2*b38*x79 + 2*b38*x82 + 2*b38*x83 - 2*b38*x89 - 2*b38*x90 - 2*b39
       *x51 + b39 - 2*b39*x53 - 2*b39*x55 + 2*b39*x59 - 2*b39*x61 - 2*b39*x70
        - 2*b39*x71 - 2*b39*x72 + 2*b39*x74 - 2*b39*x75 + 2*b39*x78 + 2*b39*x79
        + 2*b39*x82 + 2*b39*x83 + 2*b39*x85 + 2*b39*x86 + 2*b39*x88 - 2*b39*x89
        - 2*b39*x90 - 2*b40*x50 + 11*b40 + 2*b40*x54 - 2*b40*x58 - 2*b40*x60 - 
       2*b40*x62 - 2*b40*x63 + 2*b40*x65 - 2*b40*x67 - 2*b40*x68 - 2*b40*x69 + 
       2*b40*x71 + 2*b40*x72 - 2*b40*x81 - 2*b40*x82 - 2*b40*x83 - 2*b40*x84 - 
       2*b40*x85 - 2*b40*x86 - 2*b40*x87 + 2*b41*x46 + 5*b41 + 2*b41*x48 - 2*
       b41*x50 - 2*b41*x52 + 2*b41*x53 + 2*b41*x55 + 2*b41*x56 - 2*b41*x58 - 2*
       b41*x60 - 2*b41*x62 - 2*b41*x63 - 2*b41*x64 + 2*b41*x66 - 2*b41*x67 - 2*
       b41*x68 - 2*b41*x69 + 2*b41*x71 + 2*b41*x72 + 2*b41*x76 + 2*b41*x77 + 2*
       b41*x81 - 2*b41*x82 - 2*b41*x83 - 2*b41*x84 - 2*b41*x85 - 2*b41*x86 - 2*
       b41*x87 + 2*b42*x46 + 8*b42 + 2*b42*x48 - 2*b42*x50 - 2*b42*x52 + 2*b42*
       x53 - 2*b42*x54 + 2*b42*x55 - 2*b42*x56 - 2*b42*x58 - 2*b42*x62 - 2*b42*
       x63 - 2*b42*x64 - 2*b42*x65 - 2*b42*x66 - 2*b42*x67 - 2*b42*x69 + 2*b42*
       x71 + 2*b42*x72 + 2*b42*x76 + 2*b42*x77 - 2*b42*x82 - 2*b42*x84 - 2*b42*
       x85 - 2*b42*x87 + 2*b43*x46 - 9*b43 + 2*b43*x48 + 2*b43*x49 - 2*b43*x52
        - 2*b43*x54 + 2*b43*x55 + 2*b43*x56 + 2*b43*x57 + 2*b43*x59 + 2*b43*x61
        - 2*b43*x64 - 2*b43*x65 + 2*b43*x66 - 2*b43*x70 - 2*b43*x71 + 2*b43*x72
        + 2*b43*x77 + 2*b43*x78 + 2*b43*x79 + 2*b43*x80 + 2*b43*x81 + 2*b43*x82
        + 2*b43*x83 + 2*b43*x84 - 2*b43*x85 - 2*b43*x86 - 2*b43*x87 + 2*b44*x46
        - 3*b44 + 2*b44*x48 + 2*b44*x49 - 2*b44*x50 - 2*b44*x52 - 2*b44*x54 + 2
       *b44*x55 - 2*b44*x56 + 2*b44*x57 - 2*b44*x58 + 2*b44*x59 + 2*b44*x61 - 2
       *b44*x62 - 2*b44*x63 - 2*b44*x64 - 2*b44*x65 - 2*b44*x66 - 2*b44*x67 - 2
       *b44*x69 - 2*b44*x70 - 2*b44*x71 + 2*b44*x74 + 2*b44*x77 + 2*b44*x78 + 2
       *b44*x79 + 2*b44*x80 + 2*b44*x81 + 2*b44*x82 + 2*b44*x83 + 2*b44*x84 + 2
       *b44*x86 + 2*b44*x88 - 2*b44*x90 + 2*x45*x46 + 7*x45 + 2*x45*x48 - 2*x45
       *x50 - 2*x45*x52 - 2*x45*x54 - 2*x45*x55 - 2*x45*x56 - 2*x45*x58 + 2*x45
       *x59 - 2*x45*x62 - 2*x45*x63 - 2*x45*x64 - 2*x45*x65 - 2*x45*x66 - 2*x45
       *x67 - 2*x45*x69 - 2*x45*x72 + 2*x45*x74 - 2*x45*x77 + 2*x45*x79 - 2*x45
       *x81 + 2*x45*x83 + 2*x45*x85 + 2*x45*x86 + 2*x45*x87 + 2*x45*x88 - 2*x45
       *x90 + objvar =G= 755;

* set non-default bounds
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
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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