MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: gabriel02

The question to answer is to find the minimum value of k such that the k-Gabriel graph of any set of points in the plane is Hamiltonian.
A known upper bound on k is 10. Infeasibility of this instance would give some indication for lower bounds on k.
Formats ams gms lp mod osil pip
Primal Bounds
39.60965630 p1 ( gdx sol )
(infeas: 6e-15)
Dual Bounds
44.39443554 (ANTIGONE)
42.13716377 (BARON)
46.06583607 (COUENNE)
46.49150217 (LINDO)
44.72376858 (SCIP)
References Kaiser, Tomáš, Saumell, Maria, and Cleemput, Nico Van, 10-Gabriel graphs are Hamiltonian, Information Processing Letters, 115:11, 2015, 877-881.
Source QPLIB instance 682, contributed by Maria Saumell
Application Computational geometry
Added to library 18 Aug 2018
Problem type MBQCP
#Variables 261
#Binary Variables 71
#Integer Variables 0
#Nonlinear Variables 148
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 140
#Nonlinear Nonzeros in Objective 0
#Constraints 597
#Linear Constraints 501
#Quadratic Constraints 96
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2468
#Nonlinear Nonzeros in Jacobian 1024
#Nonzeros in (Upper-Left) Hessian of Lagrangian 832
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 12
Minimal blocksize in Hessian of Lagrangian 9
Maximal blocksize in Hessian of Lagrangian 14
Average blocksize in Hessian of Lagrangian 12.333333
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1.9
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
*        598      120       56      422        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        262      191       71        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2609     1585     1024        0
*
*  Solve m using MIQCP maximizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,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,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,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,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,b197,b198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,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,x77,x78,x79,x80,x85,x86,x87,x88,x93,x94,x95,x96
          ,x101,x102,x103,x104,x174,x175,x176,x177,x178,x179,x180,x181,x182
          ,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194,x195
          ,x196,x207,x208,x209,x210,x211,x212,x213,x214,x223,x224,x225,x226
          ,x227,x228,x229,x230,x239,x240,x241,x242,x243,x244,x245,x246,x255
          ,x256,x257,x258,x259,x260,x261,x262;

Binary Variables  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,b197,b198;

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,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598;


e1..  - objvar - 0.45*x2 - 0.45*x3 - 0.45*x4 - 0.67*x5 - 0.67*x6 - 0.67*x7
      - 1.03*x8 - 1.03*x9 - 1.03*x10 - 1.75*x11 - 1.75*x12 - 1.75*x13
      - 1.57*x14 - 1.57*x15 - 1.57*x16 - 1.05*x17 - 1.05*x18 - 1.05*x19
      - 0.13*x20 - 0.13*x21 - 0.13*x22 - 0.47*x23 - 0.47*x24 - 0.47*x25
      - 0.34*x26 - 0.34*x27 - 0.34*x28 + 8.81*x29 + 8.81*x30 + 9.07*x31
      + 9.07*x32 - 0.6*x33 - 0.6*x34 - 0.6*x35 - 0.65*x36 - 0.65*x37 - 0.65*x38
      - 0.75*x39 - 0.75*x40 - 0.75*x41 + 9.52*x42 + 9.52*x43 + 9.52*x44
      + 8.69*x45 + 8.69*x46 - 0.83*x47 - 0.83*x48 - 0.83*x49 - x50 - x51 - x52
      - 0.44*x53 - 0.44*x54 - 0.44*x55 + 8.64*x56 + 8.64*x57 + 8.83*x58
      + 8.83*x59 - 0.87*x60 - 0.87*x61 - 0.87*x62 - 0.4*x63 - 0.4*x64 - 0.4*x65
      - 0.8*x66 - 0.8*x67 - 0.8*x68 + 8.69*x69 + 8.69*x70 + 9.34*x71 + 9.34*x72
      - 0.2*b105 - 0.2*b106 - 0.2*b107 - 0.62*b108 - 0.62*b109 - 0.62*b110
      - 0.35*b111 - 0.35*b112 - 0.35*b113 - 0.76*b114 - 0.76*b115 - 0.76*b116
      - 0.38*b117 - 0.38*b118 - 0.38*b119 - 0.08*b120 - 0.08*b121 - 0.08*b122
      - 0.93*b123 - 0.93*b124 - 0.93*b125 - 0.57*b126 - 0.57*b127 - 0.57*b128
      - 0.01*b129 - 0.01*b130 - 0.01*b131 - 0.16*b132 - 0.16*b133 - 0.31*b134
      - 0.31*b135 - 0.17*b136 - 0.17*b137 - 0.17*b138 - 0.26*b139 - 0.26*b140
      - 0.26*b141 - 0.69*b142 - 0.69*b143 - 0.69*b144 - 0.45*b145 - 0.45*b146
      - 0.45*b147 - 0.23*b148 - 0.23*b149 - 0.15*b150 - 0.15*b151 - 0.15*b152
      - 0.54*b153 - 0.54*b154 - 0.54*b155 - 0.08*b156 - 0.08*b157 - 0.08*b158
      - 0.11*b159 - 0.11*b160 - 0.82*b161 - 0.82*b162 - 0.82*b163 - 0.08*b164
      - 0.08*b165 - 0.08*b166 - 0.26*b167 - 0.26*b168 - 0.26*b169 - 0.43*b170
      - 0.43*b171 - 0.18*b172 - 0.18*b173 =E= 0;

e2..    x2 + x5 + x8 + x174 =E= 1.9;

e3..    x11 + x14 + x17 + x175 =E= 1.8;

e4..  - x11 + x20 + x23 + x26 - x33 - x47 - x60 + x176 =E= 0.3;

e5..  - x2 - x14 - x20 + x33 + x36 + x39 + x42 - x50 - x63 + x177 =E= 1.8;

e6..  - x5 - x17 - x23 - x36 + x47 + x50 + x53 - x66 + x178 =E= 1.3;

e7..  - x8 - x26 - x39 - x53 + x60 + x63 + x66 + x179 =E= 0.2;

e8..  - x42 + x180 =E= -0.35;

e9..    x3 + x6 + x9 - x174 + x181 =E= 0.1;

e10..    x4 + x7 + x10 - x181 + x182 =E= 0.7;

e11..    x12 + x15 + x18 - x175 + x183 =E= 0.8;

e12..    x13 + x16 + x19 - x183 + x184 =E= 0.3;

e13..  - x12 + x21 + x24 + x27 + x29 + x31 - x34 - x48 - x61 - x176 + x185
       =E= 0;

e14..  - x13 + x22 + x25 + x28 + x30 + x32 - x35 - x49 - x62 - x185 + x186
       =E= 0;

e15..  - x3 - x15 - x21 + x34 + x37 + x40 + x43 + x45 - x51 - x64 - x177 + x187
       =E= 0;

e16..  - x4 - x16 - x22 + x35 + x38 + x41 + x44 + x46 - x52 - x65 - x187 + x188
       =E= 0;

e17..  - x6 - x18 - x24 - x37 + x48 + x51 + x54 + x56 + x58 - x67 - x178 + x189
       =E= 0;

e18..  - x7 - x19 - x25 - x38 + x49 + x52 + x55 + x57 + x59 - x68 - x189 + x190
       =E= 0;

e19..  - x9 - x27 - x40 - x54 + x61 + x64 + x67 + x69 + x71 - x179 + x191 =E= 0
      ;

e20..  - x10 - x28 - x41 - x55 + x62 + x65 + x68 + x70 + x72 - x191 + x192
       =E= 0;

e21..  - x29 - x43 - x56 - x69 - x180 + x193 =E= -0.44;

e22..  - x30 - x44 - x57 - x70 - x193 + x194 =E= -0.77;

e23..  - x31 - x45 - x58 - x71 + x195 =E= 0.69;

e24..  - x32 - x46 - x59 - x72 - x195 + x196 =E= -0.8;

e25..    x2 - b105 =L= 0;

e26..    x3 - b106 =L= 0;

e27..    x4 - b107 =L= 0;

e28..    x5 - b108 =L= 0;

e29..    x6 - b109 =L= 0;

e30..    x7 - b110 =L= 0;

e31..    x8 - b111 =L= 0;

e32..    x9 - b112 =L= 0;

e33..    x10 - b113 =L= 0;

e34..    x11 - b114 =L= 0;

e35..    x12 - b115 =L= 0;

e36..    x13 - b116 =L= 0;

e37..    x14 - b117 =L= 0;

e38..    x15 - b118 =L= 0;

e39..    x16 - b119 =L= 0;

e40..    x17 - b120 =L= 0;

e41..    x18 - b121 =L= 0;

e42..    x19 - b122 =L= 0;

e43..    x20 - b123 =L= 0;

e44..    x21 - b124 =L= 0;

e45..    x22 - b125 =L= 0;

e46..    x23 - b126 =L= 0;

e47..    x24 - b127 =L= 0;

e48..    x25 - b128 =L= 0;

e49..    x26 - b129 =L= 0;

e50..    x27 - b130 =L= 0;

e51..    x28 - b131 =L= 0;

e52..    x29 - b132 =L= 0;

e53..    x30 - b133 =L= 0;

e54..    x31 - b134 =L= 0;

e55..    x32 - b135 =L= 0;

e56..    x33 - b136 =L= 0;

e57..    x34 - b137 =L= 0;

e58..    x35 - b138 =L= 0;

e59..    x36 - b139 =L= 0;

e60..    x37 - b140 =L= 0;

e61..    x38 - b141 =L= 0;

e62..    x39 - b142 =L= 0;

e63..    x40 - b143 =L= 0;

e64..    x41 - b144 =L= 0;

e65..    x42 - b145 =L= 0;

e66..    x43 - b146 =L= 0;

e67..    x44 - b147 =L= 0;

e68..    x45 - b148 =L= 0;

e69..    x46 - b149 =L= 0;

e70..    x47 - b150 =L= 0;

e71..    x48 - b151 =L= 0;

e72..    x49 - b152 =L= 0;

e73..    x50 - b153 =L= 0;

e74..    x51 - b154 =L= 0;

e75..    x52 - b155 =L= 0;

e76..    x53 - b156 =L= 0;

e77..    x54 - b157 =L= 0;

e78..    x55 - b158 =L= 0;

e79..    x56 - b159 =L= 0;

e80..    x57 - b160 =L= 0;

e81..    x58 - b197 =L= 0;

e82..    x59 - b198 =L= 0;

e83..    x60 - b161 =L= 0;

e84..    x61 - b162 =L= 0;

e85..    x62 - b163 =L= 0;

e86..    x63 - b164 =L= 0;

e87..    x64 - b165 =L= 0;

e88..    x65 - b166 =L= 0;

e89..    x66 - b167 =L= 0;

e90..    x67 - b168 =L= 0;

e91..    x68 - b169 =L= 0;

e92..    x69 - b170 =L= 0;

e93..    x70 - b171 =L= 0;

e94..    x71 - b172 =L= 0;

e95..    x72 - b173 =L= 0;

e96..    0.1*b134 - x199 =L= -0.7;

e97..    0.1*b135 - x200 =L= -0.7;

e98..    0.1*b148 - x201 =L= -0.7;

e99..    0.1*b149 - x202 =L= -0.7;

e100..    0.1*b197 - x203 =L= -0.7;

e101..    0.1*b198 - x204 =L= -0.7;

e102..    0.1*b172 - x205 =L= -0.7;

e103..    0.1*b173 - x206 =L= -0.7;

e104..    0.5*b132 - x207 =L= 0;

e105..    0.5*b133 - x208 =L= 0;

e106..    0.1*b134 - x207 =L= 0;

e107..    0.1*b135 - x208 =L= 0;

e108..    0.5*b146 - x209 =L= 0;

e109..    0.5*b147 - x210 =L= 0;

e110..    0.1*b148 - x209 =L= 0;

e111..    0.1*b149 - x210 =L= 0;

e112..    0.5*b159 - x211 =L= 0;

e113..    0.5*b160 - x212 =L= 0;

e114..    0.1*b197 - x211 =L= 0;

e115..    0.1*b198 - x212 =L= 0;

e116..    0.5*b170 - x213 =L= 0;

e117..    0.5*b171 - x214 =L= 0;

e118..    0.1*b172 - x213 =L= 0;

e119..    0.1*b173 - x214 =L= 0;

e120..    0.05*b132 - x215 =L= -0.66;

e121..    0.05*b133 - x216 =L= -0.66;

e122..    0.13*b134 - x215 =L= -0.66;

e123..    0.13*b135 - x216 =L= -0.66;

e124..    0.05*b146 - x217 =L= -0.66;

e125..    0.05*b147 - x218 =L= -0.66;

e126..    0.13*b148 - x217 =L= -0.66;

e127..    0.13*b149 - x218 =L= -0.66;

e128..    0.05*b159 - x219 =L= -0.66;

e129..    0.05*b160 - x220 =L= -0.66;

e130..    0.13*b197 - x219 =L= -0.66;

e131..    0.13*b198 - x220 =L= -0.66;

e132..    0.05*b170 - x221 =L= -0.66;

e133..    0.05*b171 - x222 =L= -0.66;

e134..    0.13*b172 - x221 =L= -0.66;

e135..    0.13*b173 - x222 =L= -0.66;

e136..    0.48*b132 - x223 =L= 0;

e137..    0.48*b133 - x224 =L= 0;

e138..    0.09*b134 - x223 =L= 0;

e139..    0.09*b135 - x224 =L= 0;

e140..    0.48*b146 - x225 =L= 0;

e141..    0.48*b147 - x226 =L= 0;

e142..    0.09*b148 - x225 =L= 0;

e143..    0.09*b149 - x226 =L= 0;

e144..    0.48*b159 - x227 =L= 0;

e145..    0.48*b160 - x228 =L= 0;

e146..    0.09*b197 - x227 =L= 0;

e147..    0.09*b198 - x228 =L= 0;

e148..    0.48*b170 - x229 =L= 0;

e149..    0.48*b171 - x230 =L= 0;

e150..    0.09*b172 - x229 =L= 0;

e151..    0.09*b173 - x230 =L= 0;

e152..    0.16*b134 - x231 =L= -0.67;

e153..    0.16*b135 - x232 =L= -0.67;

e154..    0.16*b148 - x233 =L= -0.67;

e155..    0.16*b149 - x234 =L= -0.67;

e156..    0.16*b197 - x235 =L= -0.67;

e157..    0.16*b198 - x236 =L= -0.67;

e158..    0.16*b172 - x237 =L= -0.67;

e159..    0.16*b173 - x238 =L= -0.67;

e160..    0.51*b132 - x239 =L= 0;

e161..    0.51*b133 - x240 =L= 0;

e162..    0.07*b134 - x239 =L= 0;

e163..    0.07*b135 - x240 =L= 0;

e164..    0.51*b146 - x241 =L= 0;

e165..    0.51*b147 - x242 =L= 0;

e166..    0.07*b148 - x241 =L= 0;

e167..    0.07*b149 - x242 =L= 0;

e168..    0.51*b159 - x243 =L= 0;

e169..    0.51*b160 - x244 =L= 0;

e170..    0.07*b197 - x243 =L= 0;

e171..    0.07*b198 - x244 =L= 0;

e172..    0.51*b170 - x245 =L= 0;

e173..    0.51*b171 - x246 =L= 0;

e174..    0.07*b172 - x245 =L= 0;

e175..    0.07*b173 - x246 =L= 0;

e176..    0.06*b132 - x247 =L= -0.66;

e177..    0.06*b133 - x248 =L= -0.66;

e178..    0.17*b134 - x247 =L= -0.66;

e179..    0.17*b135 - x248 =L= -0.66;

e180..    0.06*b146 - x249 =L= -0.66;

e181..    0.06*b147 - x250 =L= -0.66;

e182..    0.17*b148 - x249 =L= -0.66;

e183..    0.17*b149 - x250 =L= -0.66;

e184..    0.06*b159 - x251 =L= -0.66;

e185..    0.06*b160 - x252 =L= -0.66;

e186..    0.17*b197 - x251 =L= -0.66;

e187..    0.17*b198 - x252 =L= -0.66;

e188..    0.06*b170 - x253 =L= -0.66;

e189..    0.06*b171 - x254 =L= -0.66;

e190..    0.17*b172 - x253 =L= -0.66;

e191..    0.17*b173 - x254 =L= -0.66;

e192..    0.47*b132 - x255 =L= 0;

e193..    0.47*b133 - x256 =L= 0;

e194..    0.11*b134 - x255 =L= 0;

e195..    0.11*b135 - x256 =L= 0;

e196..    0.47*b146 - x257 =L= 0;

e197..    0.47*b147 - x258 =L= 0;

e198..    0.11*b148 - x257 =L= 0;

e199..    0.11*b149 - x258 =L= 0;

e200..    0.47*b159 - x259 =L= 0;

e201..    0.47*b160 - x260 =L= 0;

e202..    0.11*b197 - x259 =L= 0;

e203..    0.11*b198 - x260 =L= 0;

e204..    0.47*b170 - x261 =L= 0;

e205..    0.47*b171 - x262 =L= 0;

e206..    0.11*b172 - x261 =L= 0;

e207..    0.11*b173 - x262 =L= 0;

e208..  - 0.2*b134 - x207 =G= -0.9;

e209..  - 0.2*b135 - x208 =G= -0.9;

e210..  - 0.2*b148 - x209 =G= -0.9;

e211..  - 0.2*b149 - x210 =G= -0.9;

e212..  - 0.2*b197 - x211 =G= -0.9;

e213..  - 0.2*b198 - x212 =G= -0.9;

e214..  - 0.2*b172 - x213 =G= -0.9;

e215..  - 0.2*b173 - x214 =G= -0.9;

e216..  - 0.05*b132 - x215 =G= -1;

e217..  - 0.05*b133 - x216 =G= -1;

e218..  - 0.05*b146 - x217 =G= -1;

e219..  - 0.05*b147 - x218 =G= -1;

e220..  - 0.05*b159 - x219 =G= -1;

e221..  - 0.05*b160 - x220 =G= -1;

e222..  - 0.05*b170 - x221 =G= -1;

e223..  - 0.05*b171 - x222 =G= -1;

e224..  - 0.12*b134 - x223 =G= -0.92;

e225..  - 0.12*b135 - x224 =G= -0.92;

e226..  - 0.12*b148 - x225 =G= -0.92;

e227..  - 0.12*b149 - x226 =G= -0.92;

e228..  - 0.12*b197 - x227 =G= -0.92;

e229..  - 0.12*b198 - x228 =G= -0.92;

e230..  - 0.12*b172 - x229 =G= -0.92;

e231..  - 0.12*b173 - x230 =G= -0.92;

e232..  - 0.1*b132 - x231 =G= -0.99;

e233..  - 0.1*b133 - x232 =G= -0.99;

e234..  - 0.1*b146 - x233 =G= -0.99;

e235..  - 0.1*b147 - x234 =G= -0.99;

e236..  - 0.1*b159 - x235 =G= -0.99;

e237..  - 0.1*b160 - x236 =G= -0.99;

e238..  - 0.1*b170 - x237 =G= -0.99;

e239..  - 0.1*b171 - x238 =G= -0.99;

e240..  - 0.23*b134 - x239 =G= -0.96;

e241..  - 0.23*b135 - x240 =G= -0.96;

e242..  - 0.23*b148 - x241 =G= -0.96;

e243..  - 0.23*b149 - x242 =G= -0.96;

e244..  - 0.23*b197 - x243 =G= -0.96;

e245..  - 0.23*b198 - x244 =G= -0.96;

e246..  - 0.23*b172 - x245 =G= -0.96;

e247..  - 0.23*b173 - x246 =G= -0.96;

e248..  - 0.12*b134 - x247 =G= -1;

e249..  - 0.12*b135 - x248 =G= -1;

e250..  - 0.12*b148 - x249 =G= -1;

e251..  - 0.12*b149 - x250 =G= -1;

e252..  - 0.12*b197 - x251 =G= -1;

e253..  - 0.12*b198 - x252 =G= -1;

e254..  - 0.12*b172 - x253 =G= -1;

e255..  - 0.12*b173 - x254 =G= -1;

e256..  - 0.1*b134 - x255 =G= -0.91;

e257..  - 0.1*b135 - x256 =G= -0.91;

e258..  - 0.1*b148 - x257 =G= -0.91;

e259..  - 0.1*b149 - x258 =G= -0.91;

e260..  - 0.1*b197 - x259 =G= -0.91;

e261..  - 0.1*b198 - x260 =G= -0.91;

e262..  - 0.1*b172 - x261 =G= -0.91;

e263..  - 0.1*b173 - x262 =G= -0.91;

e264..    b114 + b123 =L= 1;

e265..    b115 + b124 =L= 1;

e266..    b116 + b125 =L= 1;

e267..    b114 + b126 =L= 1;

e268..    b115 + b127 =L= 1;

e269..    b116 + b128 =L= 1;

e270..    b114 + b129 =L= 1;

e271..    b115 + b130 =L= 1;

e272..    b116 + b131 =L= 1;

e273..    b115 + b132 =L= 1;

e274..    b116 + b133 =L= 1;

e275..    b115 + b134 =L= 1;

e276..    b116 + b135 =L= 1;

e277..    b123 + b136 =L= 1;

e278..    b124 + b137 =L= 1;

e279..    b125 + b138 =L= 1;

e280..    b126 + b136 =L= 1;

e281..    b127 + b137 =L= 1;

e282..    b128 + b138 =L= 1;

e283..    b129 + b136 =L= 1;

e284..    b130 + b137 =L= 1;

e285..    b131 + b138 =L= 1;

e286..    b132 + b137 =L= 1;

e287..    b133 + b138 =L= 1;

e288..    b134 + b137 =L= 1;

e289..    b135 + b138 =L= 1;

e290..    b123 + b150 =L= 1;

e291..    b124 + b151 =L= 1;

e292..    b125 + b152 =L= 1;

e293..    b126 + b150 =L= 1;

e294..    b127 + b151 =L= 1;

e295..    b128 + b152 =L= 1;

e296..    b129 + b150 =L= 1;

e297..    b130 + b151 =L= 1;

e298..    b131 + b152 =L= 1;

e299..    b132 + b151 =L= 1;

e300..    b133 + b152 =L= 1;

e301..    b134 + b151 =L= 1;

e302..    b135 + b152 =L= 1;

e303..    b123 + b161 =L= 1;

e304..    b124 + b162 =L= 1;

e305..    b125 + b163 =L= 1;

e306..    b126 + b161 =L= 1;

e307..    b127 + b162 =L= 1;

e308..    b128 + b163 =L= 1;

e309..    b129 + b161 =L= 1;

e310..    b130 + b162 =L= 1;

e311..    b131 + b163 =L= 1;

e312..    b132 + b162 =L= 1;

e313..    b133 + b163 =L= 1;

e314..    b134 + b162 =L= 1;

e315..    b135 + b163 =L= 1;

e316..    b105 + b136 =L= 1;

e317..    b106 + b137 =L= 1;

e318..    b107 + b138 =L= 1;

e319..    b105 + b139 =L= 1;

e320..    b106 + b140 =L= 1;

e321..    b107 + b141 =L= 1;

e322..    b105 + b142 =L= 1;

e323..    b106 + b143 =L= 1;

e324..    b107 + b144 =L= 1;

e325..    b105 + b145 =L= 1;

e326..    b106 + b146 =L= 1;

e327..    b107 + b147 =L= 1;

e328..    b106 + b148 =L= 1;

e329..    b107 + b149 =L= 1;

e330..    b117 + b136 =L= 1;

e331..    b118 + b137 =L= 1;

e332..    b119 + b138 =L= 1;

e333..    b117 + b139 =L= 1;

e334..    b118 + b140 =L= 1;

e335..    b119 + b141 =L= 1;

e336..    b117 + b142 =L= 1;

e337..    b118 + b143 =L= 1;

e338..    b119 + b144 =L= 1;

e339..    b117 + b145 =L= 1;

e340..    b118 + b146 =L= 1;

e341..    b119 + b147 =L= 1;

e342..    b118 + b148 =L= 1;

e343..    b119 + b149 =L= 1;

e344..    b123 + b136 =L= 1;

e345..    b124 + b137 =L= 1;

e346..    b125 + b138 =L= 1;

e347..    b123 + b139 =L= 1;

e348..    b124 + b140 =L= 1;

e349..    b125 + b141 =L= 1;

e350..    b123 + b142 =L= 1;

e351..    b124 + b143 =L= 1;

e352..    b125 + b144 =L= 1;

e353..    b123 + b145 =L= 1;

e354..    b124 + b146 =L= 1;

e355..    b125 + b147 =L= 1;

e356..    b124 + b148 =L= 1;

e357..    b125 + b149 =L= 1;

e358..    b136 + b153 =L= 1;

e359..    b137 + b154 =L= 1;

e360..    b138 + b155 =L= 1;

e361..    b139 + b153 =L= 1;

e362..    b140 + b154 =L= 1;

e363..    b141 + b155 =L= 1;

e364..    b142 + b153 =L= 1;

e365..    b143 + b154 =L= 1;

e366..    b144 + b155 =L= 1;

e367..    b145 + b153 =L= 1;

e368..    b146 + b154 =L= 1;

e369..    b147 + b155 =L= 1;

e370..    b148 + b154 =L= 1;

e371..    b149 + b155 =L= 1;

e372..    b136 + b164 =L= 1;

e373..    b137 + b165 =L= 1;

e374..    b138 + b166 =L= 1;

e375..    b139 + b164 =L= 1;

e376..    b140 + b165 =L= 1;

e377..    b141 + b166 =L= 1;

e378..    b142 + b164 =L= 1;

e379..    b143 + b165 =L= 1;

e380..    b144 + b166 =L= 1;

e381..    b145 + b164 =L= 1;

e382..    b146 + b165 =L= 1;

e383..    b147 + b166 =L= 1;

e384..    b148 + b165 =L= 1;

e385..    b149 + b166 =L= 1;

e386..    b108 + b150 =L= 1;

e387..    b109 + b151 =L= 1;

e388..    b110 + b152 =L= 1;

e389..    b108 + b153 =L= 1;

e390..    b109 + b154 =L= 1;

e391..    b110 + b155 =L= 1;

e392..    b108 + b156 =L= 1;

e393..    b109 + b157 =L= 1;

e394..    b110 + b158 =L= 1;

e395..    b109 + b159 =L= 1;

e396..    b110 + b160 =L= 1;

e397..    b109 + b197 =L= 1;

e398..    b110 + b198 =L= 1;

e399..    b120 + b150 =L= 1;

e400..    b121 + b151 =L= 1;

e401..    b122 + b152 =L= 1;

e402..    b120 + b153 =L= 1;

e403..    b121 + b154 =L= 1;

e404..    b122 + b155 =L= 1;

e405..    b120 + b156 =L= 1;

e406..    b121 + b157 =L= 1;

e407..    b122 + b158 =L= 1;

e408..    b121 + b159 =L= 1;

e409..    b122 + b160 =L= 1;

e410..    b121 + b197 =L= 1;

e411..    b122 + b198 =L= 1;

e412..    b126 + b150 =L= 1;

e413..    b127 + b151 =L= 1;

e414..    b128 + b152 =L= 1;

e415..    b126 + b153 =L= 1;

e416..    b127 + b154 =L= 1;

e417..    b128 + b155 =L= 1;

e418..    b126 + b156 =L= 1;

e419..    b127 + b157 =L= 1;

e420..    b128 + b158 =L= 1;

e421..    b127 + b159 =L= 1;

e422..    b128 + b160 =L= 1;

e423..    b127 + b197 =L= 1;

e424..    b128 + b198 =L= 1;

e425..    b139 + b150 =L= 1;

e426..    b140 + b151 =L= 1;

e427..    b141 + b152 =L= 1;

e428..    b139 + b153 =L= 1;

e429..    b140 + b154 =L= 1;

e430..    b141 + b155 =L= 1;

e431..    b139 + b156 =L= 1;

e432..    b140 + b157 =L= 1;

e433..    b141 + b158 =L= 1;

e434..    b140 + b159 =L= 1;

e435..    b141 + b160 =L= 1;

e436..    b140 + b197 =L= 1;

e437..    b141 + b198 =L= 1;

e438..    b150 + b167 =L= 1;

e439..    b151 + b168 =L= 1;

e440..    b152 + b169 =L= 1;

e441..    b153 + b167 =L= 1;

e442..    b154 + b168 =L= 1;

e443..    b155 + b169 =L= 1;

e444..    b156 + b167 =L= 1;

e445..    b157 + b168 =L= 1;

e446..    b158 + b169 =L= 1;

e447..    b159 + b168 =L= 1;

e448..    b160 + b169 =L= 1;

e449..    b168 + b197 =L= 1;

e450..    b169 + b198 =L= 1;

e451..    b111 + b161 =L= 1;

e452..    b112 + b162 =L= 1;

e453..    b113 + b163 =L= 1;

e454..    b111 + b164 =L= 1;

e455..    b112 + b165 =L= 1;

e456..    b113 + b166 =L= 1;

e457..    b111 + b167 =L= 1;

e458..    b112 + b168 =L= 1;

e459..    b113 + b169 =L= 1;

e460..    b112 + b170 =L= 1;

e461..    b113 + b171 =L= 1;

e462..    b112 + b172 =L= 1;

e463..    b113 + b173 =L= 1;

e464..    b129 + b161 =L= 1;

e465..    b130 + b162 =L= 1;

e466..    b131 + b163 =L= 1;

e467..    b129 + b164 =L= 1;

e468..    b130 + b165 =L= 1;

e469..    b131 + b166 =L= 1;

e470..    b129 + b167 =L= 1;

e471..    b130 + b168 =L= 1;

e472..    b131 + b169 =L= 1;

e473..    b130 + b170 =L= 1;

e474..    b131 + b171 =L= 1;

e475..    b130 + b172 =L= 1;

e476..    b131 + b173 =L= 1;

e477..    b142 + b161 =L= 1;

e478..    b143 + b162 =L= 1;

e479..    b144 + b163 =L= 1;

e480..    b142 + b164 =L= 1;

e481..    b143 + b165 =L= 1;

e482..    b144 + b166 =L= 1;

e483..    b142 + b167 =L= 1;

e484..    b143 + b168 =L= 1;

e485..    b144 + b169 =L= 1;

e486..    b143 + b170 =L= 1;

e487..    b144 + b171 =L= 1;

e488..    b143 + b172 =L= 1;

e489..    b144 + b173 =L= 1;

e490..    b156 + b161 =L= 1;

e491..    b157 + b162 =L= 1;

e492..    b158 + b163 =L= 1;

e493..    b156 + b164 =L= 1;

e494..    b157 + b165 =L= 1;

e495..    b158 + b166 =L= 1;

e496..    b156 + b167 =L= 1;

e497..    b157 + b168 =L= 1;

e498..    b158 + b169 =L= 1;

e499..    b157 + b170 =L= 1;

e500..    b158 + b171 =L= 1;

e501..    b157 + b172 =L= 1;

e502..    b158 + b173 =L= 1;

e503.. x199*x176 - 0.9*x11 + 0.7*x20 + 0.7*x23 + 0.7*x26 - 0.8*x33 - 0.7*x47
        - 0.7*x60 =E= 0.21;

e504.. x201*x177 - 0.7*x2 - 0.9*x14 - 0.7*x20 + 0.8*x33 + 0.8*x36 + 0.8*x39
        + 0.8*x42 - 0.7*x50 - 0.7*x63 =E= 1.44;

e505.. x203*x178 - 0.7*x5 - 0.9*x17 - 0.7*x23 - 0.8*x36 + 0.7*x47 + 0.7*x50
        + 0.7*x53 - 0.7*x66 =E= 0.91;

e506.. x205*x179 - 0.7*x8 - 0.7*x26 - 0.8*x39 - 0.7*x53 + 0.7*x60 + 0.7*x63
        + 0.7*x66 =E= 0.14;

e507.. x207*x176 - 0.01*x11 - 0.9*x33 - 0.8*x47 - 0.3*x60 =E= 0;

e508.. x209*x177 - 0.2*x2 - 0.01*x14 + 0.9*x33 + 0.9*x36 + 0.9*x39 + 0.9*x42
        - 0.8*x50 - 0.3*x63 =E= 1.62;

e509.. x211*x178 - 0.2*x5 - 0.01*x17 - 0.9*x36 + 0.8*x47 + 0.8*x50 + 0.8*x53
        - 0.3*x66 =E= 1.04;

e510.. x213*x179 - 0.2*x8 - 0.9*x39 - 0.8*x53 + 0.3*x60 + 0.3*x63 + 0.3*x66
        =E= 0.06;

e511.. x215*x176 - 0.88*x11 + 0.68*x20 + 0.68*x23 + 0.68*x26 - 0.81*x33
        - 0.71*x47 - 0.66*x60 =E= 0.204;

e512.. x217*x177 - 0.69*x2 - 0.88*x14 - 0.68*x20 + 0.81*x33 + 0.81*x36
        + 0.81*x39 + 0.81*x42 - 0.71*x50 - 0.66*x63 =E= 1.458;

e513.. x219*x178 - 0.69*x5 - 0.88*x17 - 0.68*x23 - 0.81*x36 + 0.71*x47
        + 0.71*x50 + 0.71*x53 - 0.66*x66 =E= 0.923;

e514.. x221*x179 - 0.69*x8 - 0.68*x26 - 0.81*x39 - 0.71*x53 + 0.66*x60
        + 0.66*x63 + 0.66*x66 =E= 0.132;

e515.. x223*x176 + 0.01*x20 + 0.01*x23 + 0.01*x26 - 0.9*x33 - 0.8*x47 - 0.4*x60
        =E= 0.003;

e516.. x225*x177 - 0.18*x2 - 0.01*x20 + 0.9*x33 + 0.9*x36 + 0.9*x39 + 0.9*x42
        - 0.8*x50 - 0.4*x63 =E= 1.62;

e517.. x227*x178 - 0.18*x5 - 0.01*x23 - 0.9*x36 + 0.8*x47 + 0.8*x50 + 0.8*x53
        - 0.4*x66 =E= 1.04;

e518.. x229*x179 - 0.18*x8 - 0.01*x26 - 0.9*x39 - 0.8*x53 + 0.4*x60 + 0.4*x63
        + 0.4*x66 =E= 0.08;

e519.. x231*x176 - 0.92*x11 + 0.72*x20 + 0.72*x23 + 0.72*x26 - 0.79*x33
        - 0.73*x47 - 0.8*x60 =E= 0.216;

e520.. x233*x177 - 0.72*x2 - 0.92*x14 - 0.72*x20 + 0.79*x33 + 0.79*x36
        + 0.79*x39 + 0.79*x42 - 0.73*x50 - 0.8*x63 =E= 1.422;

e521.. x235*x178 - 0.72*x5 - 0.92*x17 - 0.72*x23 - 0.79*x36 + 0.73*x47
        + 0.73*x50 + 0.73*x53 - 0.8*x66 =E= 0.949;

e522.. x237*x179 - 0.72*x8 - 0.72*x26 - 0.79*x39 - 0.73*x53 + 0.8*x60 + 0.8*x63
        + 0.8*x66 =E= 0.16;

e523.. x239*x176 - 0.05*x11 - 0.92*x33 - 0.21*x47 - 0.29*x60 =E= 0;

e524.. x241*x177 - 0.22*x2 - 0.05*x14 + 0.92*x33 + 0.92*x36 + 0.92*x39
        + 0.92*x42 - 0.21*x50 - 0.29*x63 =E= 1.656;

e525.. x243*x178 - 0.22*x5 - 0.05*x17 - 0.92*x36 + 0.21*x47 + 0.21*x50
        + 0.21*x53 - 0.29*x66 =E= 0.273;

e526.. x245*x179 - 0.22*x8 - 0.92*x39 - 0.21*x53 + 0.29*x60 + 0.29*x63
        + 0.29*x66 =E= 0.058;

e527.. x247*x176 - 0.87*x11 + 0.66*x20 + 0.66*x23 + 0.66*x26 - 0.78*x33
        - 0.75*x47 - 0.7*x60 =E= 0.198;

e528.. x249*x177 - 0.68*x2 - 0.87*x14 - 0.66*x20 + 0.78*x33 + 0.78*x36
        + 0.78*x39 + 0.78*x42 - 0.75*x50 - 0.7*x63 =E= 1.404;

e529.. x251*x178 - 0.68*x5 - 0.87*x17 - 0.66*x23 - 0.78*x36 + 0.75*x47
        + 0.75*x50 + 0.75*x53 - 0.7*x66 =E= 0.975;

e530.. x253*x179 - 0.68*x8 - 0.66*x26 - 0.78*x39 - 0.75*x53 + 0.7*x60 + 0.7*x63
        + 0.7*x66 =E= 0.14;

e531.. x255*x176 - 0.91*x33 - 0.89*x47 - 0.43*x60 =E= 0;

e532.. x257*x177 - 0.21*x2 + 0.91*x33 + 0.91*x36 + 0.91*x39 + 0.91*x42
        - 0.89*x50 - 0.43*x63 =E= 1.638;

e533.. x259*x178 - 0.21*x5 - 0.91*x36 + 0.89*x47 + 0.89*x50 + 0.89*x53
        - 0.43*x66 =E= 1.157;

e534.. x261*x179 - 0.21*x8 - 0.91*x39 - 0.89*x53 + 0.43*x60 + 0.43*x63
        + 0.43*x66 =E= 0.086;

e535.. x199*x21 + x199*x24 + x199*x27 + x199*x29 + x199*x31 - x201*x34 - x203*
       x48 - x205*x61 - x199*x176 + x200*x185 - 0.9*x12 =E= 0;

e536.. x200*x22 + x200*x25 + x200*x28 + x200*x30 + x200*x32 - x202*x35 - x204*
       x49 - x206*x62 + x186*x73 - x200*x185 - 0.9*x13 =E= 0;

e537.. x201*x34 - x199*x21 + x201*x37 + x201*x40 + x201*x43 + x201*x45 - x203*
       x51 - x205*x64 - x201*x177 + x202*x187 - 0.7*x3 - 0.9*x15 =E= 0;

e538.. x202*x35 - x200*x22 + x202*x38 + x202*x41 + x202*x44 + x202*x46 - x204*
       x52 - x206*x65 + x188*x74 - x202*x187 - 0.7*x4 - 0.9*x16 =E= 0;

e539.. (-x199*x24) - x201*x37 + x203*x48 + x203*x51 + x203*x54 + x203*x56 + 
       x203*x58 - x205*x67 - x203*x178 + x204*x189 - 0.7*x6 - 0.9*x18 =E= 0;

e540.. (-x200*x25) - x202*x38 + x204*x49 + x204*x52 + x204*x55 + x204*x57 + 
       x204*x59 - x206*x68 + x190*x75 - x204*x189 - 0.7*x7 - 0.9*x19 =E= 0;

e541.. (-x199*x27) - x201*x40 - x203*x54 + x205*x61 + x205*x64 + x205*x67 + 
       x205*x69 + x205*x71 - x205*x179 + x206*x191 - 0.7*x9 =E= 0;

e542.. (-x200*x28) - x202*x41 - x204*x55 + x206*x62 + x206*x65 + x206*x68 + 
       x206*x70 + x206*x72 + x192*x76 - x206*x191 - 0.7*x10 =E= 0;

e543.. x207*x21 + x207*x24 + x207*x27 + x207*x29 + x207*x31 - x209*x34 - x211*
       x48 - x213*x61 - x207*x176 + x208*x185 - 0.01*x12 =E= 0;

e544.. x208*x22 + x208*x25 + x208*x28 + x208*x30 + x208*x32 - x210*x35 - x212*
       x49 - x214*x62 + x186*x77 - x208*x185 - 0.01*x13 =E= 0;

e545.. x209*x34 - x207*x21 + x209*x37 + x209*x40 + x209*x43 + x209*x45 - x211*
       x51 - x213*x64 - x209*x177 + x210*x187 - 0.2*x3 - 0.01*x15 =E= 0;

e546.. x210*x35 - x208*x22 + x210*x38 + x210*x41 + x210*x44 + x210*x46 - x212*
       x52 - x214*x65 + x188*x78 - x210*x187 - 0.2*x4 - 0.01*x16 =E= 0;

e547.. (-x207*x24) - x209*x37 + x211*x48 + x211*x51 + x211*x54 + x211*x56 + 
       x211*x58 - x213*x67 - x211*x178 + x212*x189 - 0.2*x6 - 0.01*x18 =E= 0;

e548.. (-x208*x25) - x210*x38 + x212*x49 + x212*x52 + x212*x55 + x212*x57 + 
       x212*x59 - x214*x68 + x190*x79 - x212*x189 - 0.2*x7 - 0.01*x19 =E= 0;

e549.. (-x207*x27) - x209*x40 - x211*x54 + x213*x61 + x213*x64 + x213*x67 + 
       x213*x69 + x213*x71 - x213*x179 + x214*x191 - 0.2*x9 =E= 0;

e550.. (-x208*x28) - x210*x41 - x212*x55 + x214*x62 + x214*x65 + x214*x68 + 
       x214*x70 + x214*x72 + x192*x80 - x214*x191 - 0.2*x10 =E= 0;

e551.. x215*x21 + x215*x24 + x215*x27 + x215*x29 + x215*x31 - x217*x34 - x219*
       x48 - x221*x61 - x215*x176 + x216*x185 - 0.88*x12 =E= 0;

e552.. x216*x22 + x216*x25 + x216*x28 + x216*x30 + x216*x32 - x218*x35 - x220*
       x49 - x222*x62 + x186*x81 - x216*x185 - 0.88*x13 =E= 0;

e553.. x217*x34 - x215*x21 + x217*x37 + x217*x40 + x217*x43 + x217*x45 - x219*
       x51 - x221*x64 - x217*x177 + x218*x187 - 0.69*x3 - 0.88*x15 =E= 0;

e554.. x218*x35 - x216*x22 + x218*x38 + x218*x41 + x218*x44 + x218*x46 - x220*
       x52 - x222*x65 + x188*x82 - x218*x187 - 0.69*x4 - 0.88*x16 =E= 0;

e555.. (-x215*x24) - x217*x37 + x219*x48 + x219*x51 + x219*x54 + x219*x56 + 
       x219*x58 - x221*x67 - x219*x178 + x220*x189 - 0.69*x6 - 0.88*x18 =E= 0;

e556.. (-x216*x25) - x218*x38 + x220*x49 + x220*x52 + x220*x55 + x220*x57 + 
       x220*x59 - x222*x68 + x190*x83 - x220*x189 - 0.69*x7 - 0.88*x19 =E= 0;

e557.. (-x215*x27) - x217*x40 - x219*x54 + x221*x61 + x221*x64 + x221*x67 + 
       x221*x69 + x221*x71 - x221*x179 + x222*x191 - 0.69*x9 =E= 0;

e558.. (-x216*x28) - x218*x41 - x220*x55 + x222*x62 + x222*x65 + x222*x68 + 
       x222*x70 + x222*x72 + x192*x84 - x222*x191 - 0.69*x10 =E= 0;

e559.. x225*x34 - x223*x21 + x225*x37 + x225*x40 + x225*x43 + x225*x45 - x227*
       x51 - x229*x64 - x225*x177 + x226*x187 - 0.18*x3 =E= 0;

e560.. x226*x35 - x224*x22 + x226*x38 + x226*x41 + x226*x44 + x226*x46 - x228*
       x52 - x230*x65 + x188*x86 - x226*x187 - 0.18*x4 =E= 0;

e561.. (-x223*x24) - x225*x37 + x227*x48 + x227*x51 + x227*x54 + x227*x56 + 
       x227*x58 - x229*x67 - x227*x178 + x228*x189 - 0.18*x6 =E= 0;

e562.. (-x224*x25) - x226*x38 + x228*x49 + x228*x52 + x228*x55 + x228*x57 + 
       x228*x59 - x230*x68 + x190*x87 - x228*x189 - 0.18*x7 =E= 0;

e563.. (-x223*x27) - x225*x40 - x227*x54 + x229*x61 + x229*x64 + x229*x67 + 
       x229*x69 + x229*x71 - x229*x179 + x230*x191 - 0.18*x9 =E= 0;

e564.. (-x224*x28) - x226*x41 - x228*x55 + x230*x62 + x230*x65 + x230*x68 + 
       x230*x70 + x230*x72 + x192*x88 - x230*x191 - 0.18*x10 =E= 0;

e565.. x231*x21 + x231*x24 + x231*x27 + x231*x29 + x231*x31 - x233*x34 - x235*
       x48 - x237*x61 - x231*x176 + x232*x185 - 0.92*x12 =E= 0;

e566.. x232*x22 + x232*x25 + x232*x28 + x232*x30 + x232*x32 - x234*x35 - x236*
       x49 - x238*x62 + x186*x89 - x232*x185 - 0.92*x13 =E= 0;

e567.. x233*x34 - x231*x21 + x233*x37 + x233*x40 + x233*x43 + x233*x45 - x235*
       x51 - x237*x64 - x233*x177 + x234*x187 - 0.72*x3 - 0.92*x15 =E= 0;

e568.. x234*x35 - x232*x22 + x234*x38 + x234*x41 + x234*x44 + x234*x46 - x236*
       x52 - x238*x65 + x188*x90 - x234*x187 - 0.72*x4 - 0.92*x16 =E= 0;

e569.. (-x231*x24) - x233*x37 + x235*x48 + x235*x51 + x235*x54 + x235*x56 + 
       x235*x58 - x237*x67 - x235*x178 + x236*x189 - 0.72*x6 - 0.92*x18 =E= 0;

e570.. (-x232*x25) - x234*x38 + x236*x49 + x236*x52 + x236*x55 + x236*x57 + 
       x236*x59 - x238*x68 + x190*x91 - x236*x189 - 0.72*x7 - 0.92*x19 =E= 0;

e571.. (-x231*x27) - x233*x40 - x235*x54 + x237*x61 + x237*x64 + x237*x67 + 
       x237*x69 + x237*x71 - x237*x179 + x238*x191 - 0.72*x9 =E= 0;

e572.. (-x232*x28) - x234*x41 - x236*x55 + x238*x62 + x238*x65 + x238*x68 + 
       x238*x70 + x238*x72 + x192*x92 - x238*x191 - 0.72*x10 =E= 0;

e573.. x239*x21 + x239*x24 + x239*x27 + x239*x29 + x239*x31 - x241*x34 - x243*
       x48 - x245*x61 - x239*x176 + x240*x185 - 0.05*x12 =E= 0;

e574.. x240*x22 + x240*x25 + x240*x28 + x240*x30 + x240*x32 - x242*x35 - x244*
       x49 - x246*x62 + x186*x93 - x240*x185 - 0.05*x13 =E= 0;

e575.. x241*x34 - x239*x21 + x241*x37 + x241*x40 + x241*x43 + x241*x45 - x243*
       x51 - x245*x64 - x241*x177 + x242*x187 - 0.22*x3 - 0.05*x15 =E= 0;

e576.. x242*x35 - x240*x22 + x242*x38 + x242*x41 + x242*x44 + x242*x46 - x244*
       x52 - x246*x65 + x188*x94 - x242*x187 - 0.22*x4 - 0.05*x16 =E= 0;

e577.. (-x239*x24) - x241*x37 + x243*x48 + x243*x51 + x243*x54 + x243*x56 + 
       x243*x58 - x245*x67 - x243*x178 + x244*x189 - 0.22*x6 - 0.05*x18 =E= 0;

e578.. (-x240*x25) - x242*x38 + x244*x49 + x244*x52 + x244*x55 + x244*x57 + 
       x244*x59 - x246*x68 + x190*x95 - x244*x189 - 0.22*x7 - 0.05*x19 =E= 0;

e579.. (-x239*x27) - x241*x40 - x243*x54 + x245*x61 + x245*x64 + x245*x67 + 
       x245*x69 + x245*x71 - x245*x179 + x246*x191 - 0.22*x9 =E= 0;

e580.. (-x240*x28) - x242*x41 - x244*x55 + x246*x62 + x246*x65 + x246*x68 + 
       x246*x70 + x246*x72 + x192*x96 - x246*x191 - 0.22*x10 =E= 0;

e581.. x247*x21 + x247*x24 + x247*x27 + x247*x29 + x247*x31 - x249*x34 - x251*
       x48 - x253*x61 - x247*x176 + x248*x185 - 0.87*x12 =E= 0;

e582.. x248*x22 + x248*x25 + x248*x28 + x248*x30 + x248*x32 - x250*x35 - x252*
       x49 - x254*x62 + x186*x97 - x248*x185 - 0.87*x13 =E= 0;

e583.. x249*x34 - x247*x21 + x249*x37 + x249*x40 + x249*x43 + x249*x45 - x251*
       x51 - x253*x64 - x249*x177 + x250*x187 - 0.68*x3 - 0.87*x15 =E= 0;

e584.. x250*x35 - x248*x22 + x250*x38 + x250*x41 + x250*x44 + x250*x46 - x252*
       x52 - x254*x65 + x188*x98 - x250*x187 - 0.68*x4 - 0.87*x16 =E= 0;

e585.. (-x247*x24) - x249*x37 + x251*x48 + x251*x51 + x251*x54 + x251*x56 + 
       x251*x58 - x253*x67 - x251*x178 + x252*x189 - 0.68*x6 - 0.87*x18 =E= 0;

e586.. (-x248*x25) - x250*x38 + x252*x49 + x252*x52 + x252*x55 + x252*x57 + 
       x252*x59 - x254*x68 + x190*x99 - x252*x189 - 0.68*x7 - 0.87*x19 =E= 0;

e587.. (-x247*x27) - x249*x40 - x251*x54 + x253*x61 + x253*x64 + x253*x67 + 
       x253*x69 + x253*x71 - x253*x179 + x254*x191 - 0.68*x9 =E= 0;

e588.. (-x248*x28) - x250*x41 - x252*x55 + x254*x62 + x254*x65 + x254*x68 + 
       x254*x70 + x254*x72 + x192*x100 - x254*x191 - 0.68*x10 =E= 0;

e589.. x257*x34 - x255*x21 + x257*x37 + x257*x40 + x257*x43 + x257*x45 - x259*
       x51 - x261*x64 - x257*x177 + x258*x187 - 0.21*x3 =E= 0;

e590.. x258*x35 - x256*x22 + x258*x38 + x258*x41 + x258*x44 + x258*x46 - x260*
       x52 - x262*x65 + x188*x102 - x258*x187 - 0.21*x4 =E= 0;

e591.. (-x255*x24) - x257*x37 + x259*x48 + x259*x51 + x259*x54 + x259*x56 + 
       x259*x58 - x261*x67 - x259*x178 + x260*x189 - 0.21*x6 =E= 0;

e592.. (-x256*x25) - x258*x38 + x260*x49 + x260*x52 + x260*x55 + x260*x57 + 
       x260*x59 - x262*x68 + x190*x103 - x260*x189 - 0.21*x7 =E= 0;

e593.. (-x255*x27) - x257*x40 - x259*x54 + x261*x61 + x261*x64 + x261*x67 + 
       x261*x69 + x261*x71 - x261*x179 + x262*x191 - 0.21*x9 =E= 0;

e594.. (-x256*x28) - x258*x41 - x260*x55 + x262*x62 + x262*x65 + x262*x68 + 
       x262*x70 + x262*x72 + x192*x104 - x262*x191 - 0.21*x10 =E= 0;

e595.. x223*x21 + x223*x24 + x223*x27 + x223*x29 + x223*x31 - x225*x34 - x227*
       x48 - x229*x61 - x223*x176 + x224*x185 =E= 0;

e596.. x224*x22 + x224*x25 + x224*x28 + x224*x30 + x224*x32 - x226*x35 - x228*
       x49 - x230*x62 + x186*x85 - x224*x185 =E= 0;

e597.. x255*x21 + x255*x24 + x255*x27 + x255*x29 + x255*x31 - x257*x34 - x259*
       x48 - x261*x61 - x255*x176 + x256*x185 =E= 0;

e598.. x256*x22 + x256*x25 + x256*x28 + x256*x30 + x256*x32 - x258*x35 - x260*
       x49 - x262*x62 + x186*x101 - x256*x185 =E= 0;

* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
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.lo = 0.7; x73.up = 1;
x74.lo = 0.7; x74.up = 1;
x75.lo = 0.7; x75.up = 1;
x76.lo = 0.7; x76.up = 1;
x77.up = 0.9;
x78.up = 0.9;
x79.up = 0.9;
x80.up = 0.9;
x81.lo = 0.66; x81.up = 1;
x82.lo = 0.66; x82.up = 1;
x83.lo = 0.66; x83.up = 1;
x84.lo = 0.66; x84.up = 1;
x85.up = 0.92;
x86.up = 0.92;
x87.up = 0.92;
x88.up = 0.92;
x89.lo = 0.67; x89.up = 0.99;
x90.lo = 0.67; x90.up = 0.99;
x91.lo = 0.67; x91.up = 0.99;
x92.lo = 0.67; x92.up = 0.99;
x93.up = 0.96;
x94.up = 0.96;
x95.up = 0.96;
x96.up = 0.96;
x97.lo = 0.66; x97.up = 1;
x98.lo = 0.66; x98.up = 1;
x99.lo = 0.66; x99.up = 1;
x100.lo = 0.66; x100.up = 1;
x101.up = 0.91;
x102.up = 0.91;
x103.up = 0.91;
x104.up = 0.91;
x174.up = 2;
x175.up = 2;
x176.up = 2;
x177.up = 2;
x178.up = 2;
x179.up = 2;
x180.up = 2;
x181.up = 2;
x182.up = 2;
x183.up = 2;
x184.up = 2;
x185.up = 2;
x186.up = 2;
x187.up = 2;
x188.up = 2;
x189.up = 2;
x190.up = 2;
x191.up = 2;
x192.up = 2;
x193.up = 2;
x194.up = 2;
x195.up = 2;
x196.up = 2;
x199.lo = 0.7; x199.up = 1;
x200.lo = 0.7; x200.up = 1;
x201.lo = 0.7; x201.up = 1;
x202.lo = 0.7; x202.up = 1;
x203.lo = 0.7; x203.up = 1;
x204.lo = 0.7; x204.up = 1;
x205.lo = 0.7; x205.up = 1;
x206.lo = 0.7; x206.up = 1;
x207.up = 0.9;
x208.up = 0.9;
x209.up = 0.9;
x210.up = 0.9;
x211.up = 0.9;
x212.up = 0.9;
x213.up = 0.9;
x214.up = 0.9;
x215.lo = 0.66; x215.up = 1;
x216.lo = 0.66; x216.up = 1;
x217.lo = 0.66; x217.up = 1;
x218.lo = 0.66; x218.up = 1;
x219.lo = 0.66; x219.up = 1;
x220.lo = 0.66; x220.up = 1;
x221.lo = 0.66; x221.up = 1;
x222.lo = 0.66; x222.up = 1;
x223.up = 0.92;
x224.up = 0.92;
x225.up = 0.92;
x226.up = 0.92;
x227.up = 0.92;
x228.up = 0.92;
x229.up = 0.92;
x230.up = 0.92;
x231.lo = 0.67; x231.up = 0.99;
x232.lo = 0.67; x232.up = 0.99;
x233.lo = 0.67; x233.up = 0.99;
x234.lo = 0.67; x234.up = 0.99;
x235.lo = 0.67; x235.up = 0.99;
x236.lo = 0.67; x236.up = 0.99;
x237.lo = 0.67; x237.up = 0.99;
x238.lo = 0.67; x238.up = 0.99;
x239.up = 0.96;
x240.up = 0.96;
x241.up = 0.96;
x242.up = 0.96;
x243.up = 0.96;
x244.up = 0.96;
x245.up = 0.96;
x246.up = 0.96;
x247.lo = 0.66; x247.up = 1;
x248.lo = 0.66; x248.up = 1;
x249.lo = 0.66; x249.up = 1;
x250.lo = 0.66; x250.up = 1;
x251.lo = 0.66; x251.up = 1;
x252.lo = 0.66; x252.up = 1;
x253.lo = 0.66; x253.up = 1;
x254.lo = 0.66; x254.up = 1;
x255.up = 0.91;
x256.up = 0.91;
x257.up = 0.91;
x258.up = 0.91;
x259.up = 0.91;
x260.up = 0.91;
x261.up = 0.91;
x262.up = 0.91;

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% maximizing objvar;


Last updated: 2018-09-14 Git hash: ac5a5314
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