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 nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 43.94084167 (ANTIGONE) 39.60976399 (BARON) 45.91962214 (COUENNE) 39.60965951 (GUROBI) 45.58721952 (LINDO) 39.60966186 (SCIP) 47.32970000 (SHOT) |
| 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 0682, 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 |
| Minimal coefficientⓘ | 1.0000e-02 |
| Maximal coefficientⓘ | 9.5200e+00 |
| Infeasibility of initial pointⓘ | 1.9 |
| Sparsity Jacobianⓘ |  |
| Sparsity 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: 2025-08-07 Git hash: e62cedfc