MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn15m04m
Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 4937.47930000 (ALPHAECP) 4937.47802300 (ANTIGONE) 4937.47771800 (BARON) 4937.47780000 (COUENNE) 4937.47772300 (LINDO) 4937.47779000 (SCIP) 4937.47822800 (SHOT) |
| Referencesⓘ | Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339. Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978. |
| Sourceⓘ | Syn15M04M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 340 |
| #Binary Variablesⓘ | 120 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 44 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 104 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 806 |
| #Linear Constraintsⓘ | 762 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 44 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1882 |
| #Nonlinear Nonzeros in Jacobianⓘ | 44 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 44 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 44 |
| #Blocks in Hessian of Lagrangianⓘ | 44 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 5.0000e-01 |
| Maximal coefficientⓘ | 6.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ | ![]() |
| Sparsity Hessian of Lagrangianⓘ | ![]() |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 807 45 168 594 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 341 221 120 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1987 1943 44 0
*
* Solve m using MINLP 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,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,b162,b163,b164,b165,b166,b167
,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,x282,x283,x284
,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
,x337,x338,x339,x340,x341;
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,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,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
,x154,x155,x156,x157,x158,x159,x160,x161;
Binary Variables b162,b163,b164,b165,b166,b167,b168,b169,b170,b171,b172,b173
,b174,b175,b176,b177,b178,b179,b180,b181,b182,b183,b184,b185,b186
,b187,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197,b198,b199
,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211,b212
,b213,b214,b215,b216,b217,b218,b219,b220,b221,b222,b223,b224,b225
,b226,b227,b228,b229,b230,b231,b232,b233,b234,b235,b236,b237,b238
,b239,b240,b241,b242,b243,b244,b245,b246,b247,b248,b249,b250,b251
,b252,b253,b254,b255,b256,b257,b258,b259,b260,b261,b262,b263,b264
,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274,b275,b276,b277
,b278,b279,b280,b281;
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,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
,e806,e807;
e1.. objvar + x2 + x3 + x4 + x5 - 5*x26 - 10*x27 - 5*x28 - 10*x29 + 2*x46
+ x47 + 2*x48 + x49 - 500*x98 - 600*x99 - 350*x100 - 400*x101 - 350*x102
- 400*x103 - 450*x104 - 400*x105 + 10*x114 + 5*x115 + 5*x116 + 10*x117
+ 5*x118 + 5*x119 + 5*x120 + 10*x121 - 180*x146 - 130*x147 - 215*x148
- 210*x149 - 110*x150 - 120*x151 - 125*x152 - 130*x153 - 110*x154
- 130*x155 - 140*x156 - 140*x157 - 280*x158 - 290*x159 - 220*x160
- 200*x161 + 5*b222 + 4*b223 + 6*b224 + 3*b225 + 8*b226 + 7*b227 + 6*b228
+ 5*b229 + 6*b230 + 9*b231 + 4*b232 + 3*b233 + 10*b234 + 9*b235 + 5*b236
+ 6*b237 + 6*b238 + 10*b239 + 6*b240 + 9*b241 + 7*b242 + 7*b243 + 4*b244
+ 2*b245 + 4*b246 + 3*b247 + 2*b248 + 8*b249 + 5*b250 + 6*b251 + 7*b252
+ 4*b253 + 2*b254 + 5*b255 + 2*b256 + 6*b257 + 4*b258 + 7*b259 + 4*b260
+ 7*b261 + 3*b262 + 9*b263 + 3*b264 + 6*b265 + 7*b266 + 2*b267 + 9*b268
+ 6*b269 + 3*b270 + b271 + 9*b272 + 10*b273 + 2*b274 + 6*b275 + 3*b276
+ 7*b277 + 4*b278 + 8*b279 + b280 + 4*b281 =E= 0;
e2.. x2 - x6 - x10 =E= 0;
e3.. x3 - x7 - x11 =E= 0;
e4.. x4 - x8 - x12 =E= 0;
e5.. x5 - x9 - x13 =E= 0;
e6.. - x14 - x18 + x22 =E= 0;
e7.. - x15 - x19 + x23 =E= 0;
e8.. - x16 - x20 + x24 =E= 0;
e9.. - x17 - x21 + x25 =E= 0;
e10.. x22 - x26 - x30 =E= 0;
e11.. x23 - x27 - x31 =E= 0;
e12.. x24 - x28 - x32 =E= 0;
e13.. x25 - x29 - x33 =E= 0;
e14.. x30 - x34 - x38 - x42 =E= 0;
e15.. x31 - x35 - x39 - x43 =E= 0;
e16.. x32 - x36 - x40 - x44 =E= 0;
e17.. x33 - x37 - x41 - x45 =E= 0;
e18.. x50 - x62 - x66 =E= 0;
e19.. x51 - x63 - x67 =E= 0;
e20.. x52 - x64 - x68 =E= 0;
e21.. x53 - x65 - x69 =E= 0;
e22.. x58 - x70 - x74 - x78 =E= 0;
e23.. x59 - x71 - x75 - x79 =E= 0;
e24.. x60 - x72 - x76 - x80 =E= 0;
e25.. x61 - x73 - x77 - x81 =E= 0;
e26.. x90 - x106 - x110 =E= 0;
e27.. x91 - x107 - x111 =E= 0;
e28.. x92 - x108 - x112 =E= 0;
e29.. x93 - x109 - x113 =E= 0;
e30.. - x94 - x118 + x122 =E= 0;
e31.. - x95 - x119 + x123 =E= 0;
e32.. - x96 - x120 + x124 =E= 0;
e33.. - x97 - x121 + x125 =E= 0;
e34.. x98 - x126 - x130 =E= 0;
e35.. x99 - x127 - x131 =E= 0;
e36.. x100 - x128 - x132 =E= 0;
e37.. x101 - x129 - x133 =E= 0;
e38.. x102 - x134 - x138 - x142 =E= 0;
e39.. x103 - x135 - x139 - x143 =E= 0;
e40.. x104 - x136 - x140 - x144 =E= 0;
e41.. x105 - x137 - x141 - x145 =E= 0;
e42.. -log(1 + x6) + x14 + b162 =L= 1;
e43.. -log(1 + x7) + x15 + b163 =L= 1;
e44.. -log(1 + x8) + x16 + b164 =L= 1;
e45.. -log(1 + x9) + x17 + b165 =L= 1;
e46.. x6 - 40*b162 =L= 0;
e47.. x7 - 40*b163 =L= 0;
e48.. x8 - 40*b164 =L= 0;
e49.. x9 - 40*b165 =L= 0;
e50.. x14 - 3.71357206670431*b162 =L= 0;
e51.. x15 - 3.71357206670431*b163 =L= 0;
e52.. x16 - 3.71357206670431*b164 =L= 0;
e53.. x17 - 3.71357206670431*b165 =L= 0;
e54.. -1.2*log(1 + x10) + x18 + b166 =L= 1;
e55.. -1.2*log(1 + x11) + x19 + b167 =L= 1;
e56.. -1.2*log(1 + x12) + x20 + b168 =L= 1;
e57.. -1.2*log(1 + x13) + x21 + b169 =L= 1;
e58.. x10 - 40*b166 =L= 0;
e59.. x11 - 40*b167 =L= 0;
e60.. x12 - 40*b168 =L= 0;
e61.. x13 - 40*b169 =L= 0;
e62.. x18 - 4.45628648004517*b166 =L= 0;
e63.. x19 - 4.45628648004517*b167 =L= 0;
e64.. x20 - 4.45628648004517*b168 =L= 0;
e65.. x21 - 4.45628648004517*b169 =L= 0;
e66.. - 0.75*x34 + x50 + b170 =L= 1;
e67.. - 0.75*x35 + x51 + b171 =L= 1;
e68.. - 0.75*x36 + x52 + b172 =L= 1;
e69.. - 0.75*x37 + x53 + b173 =L= 1;
e70.. - 0.75*x34 + x50 - b170 =G= -1;
e71.. - 0.75*x35 + x51 - b171 =G= -1;
e72.. - 0.75*x36 + x52 - b172 =G= -1;
e73.. - 0.75*x37 + x53 - b173 =G= -1;
e74.. x34 - 4.45628648004517*b170 =L= 0;
e75.. x35 - 4.45628648004517*b171 =L= 0;
e76.. x36 - 4.45628648004517*b172 =L= 0;
e77.. x37 - 4.45628648004517*b173 =L= 0;
e78.. x50 - 3.34221486003388*b170 =L= 0;
e79.. x51 - 3.34221486003388*b171 =L= 0;
e80.. x52 - 3.34221486003388*b172 =L= 0;
e81.. x53 - 3.34221486003388*b173 =L= 0;
e82.. -1.5*log(1 + x38) + x54 + b174 =L= 1;
e83.. -1.5*log(1 + x39) + x55 + b175 =L= 1;
e84.. -1.5*log(1 + x40) + x56 + b176 =L= 1;
e85.. -1.5*log(1 + x41) + x57 + b177 =L= 1;
e86.. x38 - 4.45628648004517*b174 =L= 0;
e87.. x39 - 4.45628648004517*b175 =L= 0;
e88.. x40 - 4.45628648004517*b176 =L= 0;
e89.. x41 - 4.45628648004517*b177 =L= 0;
e90.. x54 - 2.54515263975353*b174 =L= 0;
e91.. x55 - 2.54515263975353*b175 =L= 0;
e92.. x56 - 2.54515263975353*b176 =L= 0;
e93.. x57 - 2.54515263975353*b177 =L= 0;
e94.. - x42 + x58 + b178 =L= 1;
e95.. - x43 + x59 + b179 =L= 1;
e96.. - x44 + x60 + b180 =L= 1;
e97.. - x45 + x61 + b181 =L= 1;
e98.. - x42 + x58 - b178 =G= -1;
e99.. - x43 + x59 - b179 =G= -1;
e100.. - x44 + x60 - b180 =G= -1;
e101.. - x45 + x61 - b181 =G= -1;
e102.. - 0.5*x46 + x58 + b178 =L= 1;
e103.. - 0.5*x47 + x59 + b179 =L= 1;
e104.. - 0.5*x48 + x60 + b180 =L= 1;
e105.. - 0.5*x49 + x61 + b181 =L= 1;
e106.. - 0.5*x46 + x58 - b178 =G= -1;
e107.. - 0.5*x47 + x59 - b179 =G= -1;
e108.. - 0.5*x48 + x60 - b180 =G= -1;
e109.. - 0.5*x49 + x61 - b181 =G= -1;
e110.. x42 - 4.45628648004517*b178 =L= 0;
e111.. x43 - 4.45628648004517*b179 =L= 0;
e112.. x44 - 4.45628648004517*b180 =L= 0;
e113.. x45 - 4.45628648004517*b181 =L= 0;
e114.. x46 - 30*b178 =L= 0;
e115.. x47 - 30*b179 =L= 0;
e116.. x48 - 30*b180 =L= 0;
e117.. x49 - 30*b181 =L= 0;
e118.. x58 - 15*b178 =L= 0;
e119.. x59 - 15*b179 =L= 0;
e120.. x60 - 15*b180 =L= 0;
e121.. x61 - 15*b181 =L= 0;
e122.. -1.25*log(1 + x62) + x82 + b182 =L= 1;
e123.. -1.25*log(1 + x63) + x83 + b183 =L= 1;
e124.. -1.25*log(1 + x64) + x84 + b184 =L= 1;
e125.. -1.25*log(1 + x65) + x85 + b185 =L= 1;
e126.. x62 - 3.34221486003388*b182 =L= 0;
e127.. x63 - 3.34221486003388*b183 =L= 0;
e128.. x64 - 3.34221486003388*b184 =L= 0;
e129.. x65 - 3.34221486003388*b185 =L= 0;
e130.. x82 - 1.83548069293539*b182 =L= 0;
e131.. x83 - 1.83548069293539*b183 =L= 0;
e132.. x84 - 1.83548069293539*b184 =L= 0;
e133.. x85 - 1.83548069293539*b185 =L= 0;
e134.. -0.9*log(1 + x66) + x86 + b186 =L= 1;
e135.. -0.9*log(1 + x67) + x87 + b187 =L= 1;
e136.. -0.9*log(1 + x68) + x88 + b188 =L= 1;
e137.. -0.9*log(1 + x69) + x89 + b189 =L= 1;
e138.. x66 - 3.34221486003388*b186 =L= 0;
e139.. x67 - 3.34221486003388*b187 =L= 0;
e140.. x68 - 3.34221486003388*b188 =L= 0;
e141.. x69 - 3.34221486003388*b189 =L= 0;
e142.. x86 - 1.32154609891348*b186 =L= 0;
e143.. x87 - 1.32154609891348*b187 =L= 0;
e144.. x88 - 1.32154609891348*b188 =L= 0;
e145.. x89 - 1.32154609891348*b189 =L= 0;
e146.. -log(1 + x54) + x90 + b190 =L= 1;
e147.. -log(1 + x55) + x91 + b191 =L= 1;
e148.. -log(1 + x56) + x92 + b192 =L= 1;
e149.. -log(1 + x57) + x93 + b193 =L= 1;
e150.. x54 - 2.54515263975353*b190 =L= 0;
e151.. x55 - 2.54515263975353*b191 =L= 0;
e152.. x56 - 2.54515263975353*b192 =L= 0;
e153.. x57 - 2.54515263975353*b193 =L= 0;
e154.. x90 - 1.26558121681553*b190 =L= 0;
e155.. x91 - 1.26558121681553*b191 =L= 0;
e156.. x92 - 1.26558121681553*b192 =L= 0;
e157.. x93 - 1.26558121681553*b193 =L= 0;
e158.. - 0.9*x70 + x94 + b194 =L= 1;
e159.. - 0.9*x71 + x95 + b195 =L= 1;
e160.. - 0.9*x72 + x96 + b196 =L= 1;
e161.. - 0.9*x73 + x97 + b197 =L= 1;
e162.. - 0.9*x70 + x94 - b194 =G= -1;
e163.. - 0.9*x71 + x95 - b195 =G= -1;
e164.. - 0.9*x72 + x96 - b196 =G= -1;
e165.. - 0.9*x73 + x97 - b197 =G= -1;
e166.. x70 - 15*b194 =L= 0;
e167.. x71 - 15*b195 =L= 0;
e168.. x72 - 15*b196 =L= 0;
e169.. x73 - 15*b197 =L= 0;
e170.. x94 - 13.5*b194 =L= 0;
e171.. x95 - 13.5*b195 =L= 0;
e172.. x96 - 13.5*b196 =L= 0;
e173.. x97 - 13.5*b197 =L= 0;
e174.. - 0.6*x74 + x98 + b198 =L= 1;
e175.. - 0.6*x75 + x99 + b199 =L= 1;
e176.. - 0.6*x76 + x100 + b200 =L= 1;
e177.. - 0.6*x77 + x101 + b201 =L= 1;
e178.. - 0.6*x74 + x98 - b198 =G= -1;
e179.. - 0.6*x75 + x99 - b199 =G= -1;
e180.. - 0.6*x76 + x100 - b200 =G= -1;
e181.. - 0.6*x77 + x101 - b201 =G= -1;
e182.. x74 - 15*b198 =L= 0;
e183.. x75 - 15*b199 =L= 0;
e184.. x76 - 15*b200 =L= 0;
e185.. x77 - 15*b201 =L= 0;
e186.. x98 - 9*b198 =L= 0;
e187.. x99 - 9*b199 =L= 0;
e188.. x100 - 9*b200 =L= 0;
e189.. x101 - 9*b201 =L= 0;
e190.. -1.1*log(1 + x78) + x102 + b202 =L= 1;
e191.. -1.1*log(1 + x79) + x103 + b203 =L= 1;
e192.. -1.1*log(1 + x80) + x104 + b204 =L= 1;
e193.. -1.1*log(1 + x81) + x105 + b205 =L= 1;
e194.. x78 - 15*b202 =L= 0;
e195.. x79 - 15*b203 =L= 0;
e196.. x80 - 15*b204 =L= 0;
e197.. x81 - 15*b205 =L= 0;
e198.. x102 - 3.04984759446376*b202 =L= 0;
e199.. x103 - 3.04984759446376*b203 =L= 0;
e200.. x104 - 3.04984759446376*b204 =L= 0;
e201.. x105 - 3.04984759446376*b205 =L= 0;
e202.. - 0.9*x82 + x146 + b206 =L= 1;
e203.. - 0.9*x83 + x147 + b207 =L= 1;
e204.. - 0.9*x84 + x148 + b208 =L= 1;
e205.. - 0.9*x85 + x149 + b209 =L= 1;
e206.. - 0.9*x82 + x146 - b206 =G= -1;
e207.. - 0.9*x83 + x147 - b207 =G= -1;
e208.. - 0.9*x84 + x148 - b208 =G= -1;
e209.. - 0.9*x85 + x149 - b209 =G= -1;
e210.. - x114 + x146 + b206 =L= 1;
e211.. - x115 + x147 + b207 =L= 1;
e212.. - x116 + x148 + b208 =L= 1;
e213.. - x117 + x149 + b209 =L= 1;
e214.. - x114 + x146 - b206 =G= -1;
e215.. - x115 + x147 - b207 =G= -1;
e216.. - x116 + x148 - b208 =G= -1;
e217.. - x117 + x149 - b209 =G= -1;
e218.. x82 - 1.83548069293539*b206 =L= 0;
e219.. x83 - 1.83548069293539*b207 =L= 0;
e220.. x84 - 1.83548069293539*b208 =L= 0;
e221.. x85 - 1.83548069293539*b209 =L= 0;
e222.. x114 - 20*b206 =L= 0;
e223.. x115 - 20*b207 =L= 0;
e224.. x116 - 20*b208 =L= 0;
e225.. x117 - 20*b209 =L= 0;
e226.. x146 - 20*b206 =L= 0;
e227.. x147 - 20*b207 =L= 0;
e228.. x148 - 20*b208 =L= 0;
e229.. x149 - 20*b209 =L= 0;
e230.. -log(1 + x86) + x150 + b210 =L= 1;
e231.. -log(1 + x87) + x151 + b211 =L= 1;
e232.. -log(1 + x88) + x152 + b212 =L= 1;
e233.. -log(1 + x89) + x153 + b213 =L= 1;
e234.. x86 - 1.32154609891348*b210 =L= 0;
e235.. x87 - 1.32154609891348*b211 =L= 0;
e236.. x88 - 1.32154609891348*b212 =L= 0;
e237.. x89 - 1.32154609891348*b213 =L= 0;
e238.. x150 - 0.842233385663186*b210 =L= 0;
e239.. x151 - 0.842233385663186*b211 =L= 0;
e240.. x152 - 0.842233385663186*b212 =L= 0;
e241.. x153 - 0.842233385663186*b213 =L= 0;
e242.. -0.7*log(1 + x106) + x154 + b214 =L= 1;
e243.. -0.7*log(1 + x107) + x155 + b215 =L= 1;
e244.. -0.7*log(1 + x108) + x156 + b216 =L= 1;
e245.. -0.7*log(1 + x109) + x157 + b217 =L= 1;
e246.. x106 - 1.26558121681553*b214 =L= 0;
e247.. x107 - 1.26558121681553*b215 =L= 0;
e248.. x108 - 1.26558121681553*b216 =L= 0;
e249.. x109 - 1.26558121681553*b217 =L= 0;
e250.. x154 - 0.572481933717686*b214 =L= 0;
e251.. x155 - 0.572481933717686*b215 =L= 0;
e252.. x156 - 0.572481933717686*b216 =L= 0;
e253.. x157 - 0.572481933717686*b217 =L= 0;
e254.. -0.65*log(1 + x110) + x158 + b218 =L= 1;
e255.. -0.65*log(1 + x111) + x159 + b219 =L= 1;
e256.. -0.65*log(1 + x112) + x160 + b220 =L= 1;
e257.. -0.65*log(1 + x113) + x161 + b221 =L= 1;
e258.. -0.65*log(1 + x122) + x158 + b218 =L= 1;
e259.. -0.65*log(1 + x123) + x159 + b219 =L= 1;
e260.. -0.65*log(1 + x124) + x160 + b220 =L= 1;
e261.. -0.65*log(1 + x125) + x161 + b221 =L= 1;
e262.. x110 - 1.26558121681553*b218 =L= 0;
e263.. x111 - 1.26558121681553*b219 =L= 0;
e264.. x112 - 1.26558121681553*b220 =L= 0;
e265.. x113 - 1.26558121681553*b221 =L= 0;
e266.. x122 - 33.5*b218 =L= 0;
e267.. x123 - 33.5*b219 =L= 0;
e268.. x124 - 33.5*b220 =L= 0;
e269.. x125 - 33.5*b221 =L= 0;
e270.. x158 - 2.30162356062425*b218 =L= 0;
e271.. x159 - 2.30162356062425*b219 =L= 0;
e272.. x160 - 2.30162356062425*b220 =L= 0;
e273.. x161 - 2.30162356062425*b221 =L= 0;
e274.. 5*b222 + x282 =L= 0;
e275.. 4*b223 + x283 =L= 0;
e276.. 6*b224 + x284 =L= 0;
e277.. 3*b225 + x285 =L= 0;
e278.. 8*b226 + x286 =L= 0;
e279.. 7*b227 + x287 =L= 0;
e280.. 6*b228 + x288 =L= 0;
e281.. 5*b229 + x289 =L= 0;
e282.. 6*b230 + x290 =L= 0;
e283.. 9*b231 + x291 =L= 0;
e284.. 4*b232 + x292 =L= 0;
e285.. 3*b233 + x293 =L= 0;
e286.. 10*b234 + x294 =L= 0;
e287.. 9*b235 + x295 =L= 0;
e288.. 5*b236 + x296 =L= 0;
e289.. 6*b237 + x297 =L= 0;
e290.. 6*b238 + x298 =L= 0;
e291.. 10*b239 + x299 =L= 0;
e292.. 6*b240 + x300 =L= 0;
e293.. 9*b241 + x301 =L= 0;
e294.. 7*b242 + x302 =L= 0;
e295.. 7*b243 + x303 =L= 0;
e296.. 4*b244 + x304 =L= 0;
e297.. 2*b245 + x305 =L= 0;
e298.. 4*b246 + x306 =L= 0;
e299.. 3*b247 + x307 =L= 0;
e300.. 2*b248 + x308 =L= 0;
e301.. 8*b249 + x309 =L= 0;
e302.. 5*b250 + x310 =L= 0;
e303.. 6*b251 + x311 =L= 0;
e304.. 7*b252 + x312 =L= 0;
e305.. 4*b253 + x313 =L= 0;
e306.. 2*b254 + x314 =L= 0;
e307.. 5*b255 + x315 =L= 0;
e308.. 2*b256 + x316 =L= 0;
e309.. 6*b257 + x317 =L= 0;
e310.. 4*b258 + x318 =L= 0;
e311.. 7*b259 + x319 =L= 0;
e312.. 4*b260 + x320 =L= 0;
e313.. 7*b261 + x321 =L= 0;
e314.. 3*b262 + x322 =L= 0;
e315.. 9*b263 + x323 =L= 0;
e316.. 3*b264 + x324 =L= 0;
e317.. 6*b265 + x325 =L= 0;
e318.. 7*b266 + x326 =L= 0;
e319.. 2*b267 + x327 =L= 0;
e320.. 9*b268 + x328 =L= 0;
e321.. 6*b269 + x329 =L= 0;
e322.. 3*b270 + x330 =L= 0;
e323.. b271 + x331 =L= 0;
e324.. 9*b272 + x332 =L= 0;
e325.. 10*b273 + x333 =L= 0;
e326.. 2*b274 + x334 =L= 0;
e327.. 6*b275 + x335 =L= 0;
e328.. 3*b276 + x336 =L= 0;
e329.. 7*b277 + x337 =L= 0;
e330.. 4*b278 + x338 =L= 0;
e331.. 8*b279 + x339 =L= 0;
e332.. b280 + x340 =L= 0;
e333.. 4*b281 + x341 =L= 0;
e334.. 5*b222 + x282 =G= 0;
e335.. 4*b223 + x283 =G= 0;
e336.. 6*b224 + x284 =G= 0;
e337.. 3*b225 + x285 =G= 0;
e338.. 8*b226 + x286 =G= 0;
e339.. 7*b227 + x287 =G= 0;
e340.. 6*b228 + x288 =G= 0;
e341.. 5*b229 + x289 =G= 0;
e342.. 6*b230 + x290 =G= 0;
e343.. 9*b231 + x291 =G= 0;
e344.. 4*b232 + x292 =G= 0;
e345.. 3*b233 + x293 =G= 0;
e346.. 10*b234 + x294 =G= 0;
e347.. 9*b235 + x295 =G= 0;
e348.. 5*b236 + x296 =G= 0;
e349.. 6*b237 + x297 =G= 0;
e350.. 6*b238 + x298 =G= 0;
e351.. 10*b239 + x299 =G= 0;
e352.. 6*b240 + x300 =G= 0;
e353.. 9*b241 + x301 =G= 0;
e354.. 7*b242 + x302 =G= 0;
e355.. 7*b243 + x303 =G= 0;
e356.. 4*b244 + x304 =G= 0;
e357.. 2*b245 + x305 =G= 0;
e358.. 4*b246 + x306 =G= 0;
e359.. 3*b247 + x307 =G= 0;
e360.. 2*b248 + x308 =G= 0;
e361.. 8*b249 + x309 =G= 0;
e362.. 5*b250 + x310 =G= 0;
e363.. 6*b251 + x311 =G= 0;
e364.. 7*b252 + x312 =G= 0;
e365.. 4*b253 + x313 =G= 0;
e366.. 2*b254 + x314 =G= 0;
e367.. 5*b255 + x315 =G= 0;
e368.. 2*b256 + x316 =G= 0;
e369.. 6*b257 + x317 =G= 0;
e370.. 4*b258 + x318 =G= 0;
e371.. 7*b259 + x319 =G= 0;
e372.. 4*b260 + x320 =G= 0;
e373.. 7*b261 + x321 =G= 0;
e374.. 3*b262 + x322 =G= 0;
e375.. 9*b263 + x323 =G= 0;
e376.. 3*b264 + x324 =G= 0;
e377.. 6*b265 + x325 =G= 0;
e378.. 7*b266 + x326 =G= 0;
e379.. 2*b267 + x327 =G= 0;
e380.. 9*b268 + x328 =G= 0;
e381.. 6*b269 + x329 =G= 0;
e382.. 3*b270 + x330 =G= 0;
e383.. b271 + x331 =G= 0;
e384.. 9*b272 + x332 =G= 0;
e385.. 10*b273 + x333 =G= 0;
e386.. 2*b274 + x334 =G= 0;
e387.. 6*b275 + x335 =G= 0;
e388.. 3*b276 + x336 =G= 0;
e389.. 7*b277 + x337 =G= 0;
e390.. 4*b278 + x338 =G= 0;
e391.. 8*b279 + x339 =G= 0;
e392.. b280 + x340 =G= 0;
e393.. 4*b281 + x341 =G= 0;
e394.. b162 - b163 =L= 0;
e395.. b162 - b164 =L= 0;
e396.. b162 - b165 =L= 0;
e397.. b163 - b164 =L= 0;
e398.. b163 - b165 =L= 0;
e399.. b164 - b165 =L= 0;
e400.. b166 - b167 =L= 0;
e401.. b166 - b168 =L= 0;
e402.. b166 - b169 =L= 0;
e403.. b167 - b168 =L= 0;
e404.. b167 - b169 =L= 0;
e405.. b168 - b169 =L= 0;
e406.. b170 - b171 =L= 0;
e407.. b170 - b172 =L= 0;
e408.. b170 - b173 =L= 0;
e409.. b171 - b172 =L= 0;
e410.. b171 - b173 =L= 0;
e411.. b172 - b173 =L= 0;
e412.. b174 - b175 =L= 0;
e413.. b174 - b176 =L= 0;
e414.. b174 - b177 =L= 0;
e415.. b175 - b176 =L= 0;
e416.. b175 - b177 =L= 0;
e417.. b176 - b177 =L= 0;
e418.. b178 - b179 =L= 0;
e419.. b178 - b180 =L= 0;
e420.. b178 - b181 =L= 0;
e421.. b179 - b180 =L= 0;
e422.. b179 - b181 =L= 0;
e423.. b180 - b181 =L= 0;
e424.. b182 - b183 =L= 0;
e425.. b182 - b184 =L= 0;
e426.. b182 - b185 =L= 0;
e427.. b183 - b184 =L= 0;
e428.. b183 - b185 =L= 0;
e429.. b184 - b185 =L= 0;
e430.. b186 - b187 =L= 0;
e431.. b186 - b188 =L= 0;
e432.. b186 - b189 =L= 0;
e433.. b187 - b188 =L= 0;
e434.. b187 - b189 =L= 0;
e435.. b188 - b189 =L= 0;
e436.. b190 - b191 =L= 0;
e437.. b190 - b192 =L= 0;
e438.. b190 - b193 =L= 0;
e439.. b191 - b192 =L= 0;
e440.. b191 - b193 =L= 0;
e441.. b192 - b193 =L= 0;
e442.. b194 - b195 =L= 0;
e443.. b194 - b196 =L= 0;
e444.. b194 - b197 =L= 0;
e445.. b195 - b196 =L= 0;
e446.. b195 - b197 =L= 0;
e447.. b196 - b197 =L= 0;
e448.. b198 - b199 =L= 0;
e449.. b198 - b200 =L= 0;
e450.. b198 - b201 =L= 0;
e451.. b199 - b200 =L= 0;
e452.. b199 - b201 =L= 0;
e453.. b200 - b201 =L= 0;
e454.. b202 - b203 =L= 0;
e455.. b202 - b204 =L= 0;
e456.. b202 - b205 =L= 0;
e457.. b203 - b204 =L= 0;
e458.. b203 - b205 =L= 0;
e459.. b204 - b205 =L= 0;
e460.. b206 - b207 =L= 0;
e461.. b206 - b208 =L= 0;
e462.. b206 - b209 =L= 0;
e463.. b207 - b208 =L= 0;
e464.. b207 - b209 =L= 0;
e465.. b208 - b209 =L= 0;
e466.. b210 - b211 =L= 0;
e467.. b210 - b212 =L= 0;
e468.. b210 - b213 =L= 0;
e469.. b211 - b212 =L= 0;
e470.. b211 - b213 =L= 0;
e471.. b212 - b213 =L= 0;
e472.. b214 - b215 =L= 0;
e473.. b214 - b216 =L= 0;
e474.. b214 - b217 =L= 0;
e475.. b215 - b216 =L= 0;
e476.. b215 - b217 =L= 0;
e477.. b216 - b217 =L= 0;
e478.. b218 - b219 =L= 0;
e479.. b218 - b220 =L= 0;
e480.. b218 - b221 =L= 0;
e481.. b219 - b220 =L= 0;
e482.. b219 - b221 =L= 0;
e483.. b220 - b221 =L= 0;
e484.. b222 + b223 =L= 1;
e485.. b222 + b224 =L= 1;
e486.. b222 + b225 =L= 1;
e487.. b222 + b223 =L= 1;
e488.. b223 + b224 =L= 1;
e489.. b223 + b225 =L= 1;
e490.. b222 + b224 =L= 1;
e491.. b223 + b224 =L= 1;
e492.. b224 + b225 =L= 1;
e493.. b222 + b225 =L= 1;
e494.. b223 + b225 =L= 1;
e495.. b224 + b225 =L= 1;
e496.. b226 + b227 =L= 1;
e497.. b226 + b228 =L= 1;
e498.. b226 + b229 =L= 1;
e499.. b226 + b227 =L= 1;
e500.. b227 + b228 =L= 1;
e501.. b227 + b229 =L= 1;
e502.. b226 + b228 =L= 1;
e503.. b227 + b228 =L= 1;
e504.. b228 + b229 =L= 1;
e505.. b226 + b229 =L= 1;
e506.. b227 + b229 =L= 1;
e507.. b228 + b229 =L= 1;
e508.. b230 + b231 =L= 1;
e509.. b230 + b232 =L= 1;
e510.. b230 + b233 =L= 1;
e511.. b230 + b231 =L= 1;
e512.. b231 + b232 =L= 1;
e513.. b231 + b233 =L= 1;
e514.. b230 + b232 =L= 1;
e515.. b231 + b232 =L= 1;
e516.. b232 + b233 =L= 1;
e517.. b230 + b233 =L= 1;
e518.. b231 + b233 =L= 1;
e519.. b232 + b233 =L= 1;
e520.. b234 + b235 =L= 1;
e521.. b234 + b236 =L= 1;
e522.. b234 + b237 =L= 1;
e523.. b234 + b235 =L= 1;
e524.. b235 + b236 =L= 1;
e525.. b235 + b237 =L= 1;
e526.. b234 + b236 =L= 1;
e527.. b235 + b236 =L= 1;
e528.. b236 + b237 =L= 1;
e529.. b234 + b237 =L= 1;
e530.. b235 + b237 =L= 1;
e531.. b236 + b237 =L= 1;
e532.. b238 + b239 =L= 1;
e533.. b238 + b240 =L= 1;
e534.. b238 + b241 =L= 1;
e535.. b238 + b239 =L= 1;
e536.. b239 + b240 =L= 1;
e537.. b239 + b241 =L= 1;
e538.. b238 + b240 =L= 1;
e539.. b239 + b240 =L= 1;
e540.. b240 + b241 =L= 1;
e541.. b238 + b241 =L= 1;
e542.. b239 + b241 =L= 1;
e543.. b240 + b241 =L= 1;
e544.. b242 + b243 =L= 1;
e545.. b242 + b244 =L= 1;
e546.. b242 + b245 =L= 1;
e547.. b242 + b243 =L= 1;
e548.. b243 + b244 =L= 1;
e549.. b243 + b245 =L= 1;
e550.. b242 + b244 =L= 1;
e551.. b243 + b244 =L= 1;
e552.. b244 + b245 =L= 1;
e553.. b242 + b245 =L= 1;
e554.. b243 + b245 =L= 1;
e555.. b244 + b245 =L= 1;
e556.. b246 + b247 =L= 1;
e557.. b246 + b248 =L= 1;
e558.. b246 + b249 =L= 1;
e559.. b246 + b247 =L= 1;
e560.. b247 + b248 =L= 1;
e561.. b247 + b249 =L= 1;
e562.. b246 + b248 =L= 1;
e563.. b247 + b248 =L= 1;
e564.. b248 + b249 =L= 1;
e565.. b246 + b249 =L= 1;
e566.. b247 + b249 =L= 1;
e567.. b248 + b249 =L= 1;
e568.. b250 + b251 =L= 1;
e569.. b250 + b252 =L= 1;
e570.. b250 + b253 =L= 1;
e571.. b250 + b251 =L= 1;
e572.. b251 + b252 =L= 1;
e573.. b251 + b253 =L= 1;
e574.. b250 + b252 =L= 1;
e575.. b251 + b252 =L= 1;
e576.. b252 + b253 =L= 1;
e577.. b250 + b253 =L= 1;
e578.. b251 + b253 =L= 1;
e579.. b252 + b253 =L= 1;
e580.. b254 + b255 =L= 1;
e581.. b254 + b256 =L= 1;
e582.. b254 + b257 =L= 1;
e583.. b254 + b255 =L= 1;
e584.. b255 + b256 =L= 1;
e585.. b255 + b257 =L= 1;
e586.. b254 + b256 =L= 1;
e587.. b255 + b256 =L= 1;
e588.. b256 + b257 =L= 1;
e589.. b254 + b257 =L= 1;
e590.. b255 + b257 =L= 1;
e591.. b256 + b257 =L= 1;
e592.. b258 + b259 =L= 1;
e593.. b258 + b260 =L= 1;
e594.. b258 + b261 =L= 1;
e595.. b258 + b259 =L= 1;
e596.. b259 + b260 =L= 1;
e597.. b259 + b261 =L= 1;
e598.. b258 + b260 =L= 1;
e599.. b259 + b260 =L= 1;
e600.. b260 + b261 =L= 1;
e601.. b258 + b261 =L= 1;
e602.. b259 + b261 =L= 1;
e603.. b260 + b261 =L= 1;
e604.. b262 + b263 =L= 1;
e605.. b262 + b264 =L= 1;
e606.. b262 + b265 =L= 1;
e607.. b262 + b263 =L= 1;
e608.. b263 + b264 =L= 1;
e609.. b263 + b265 =L= 1;
e610.. b262 + b264 =L= 1;
e611.. b263 + b264 =L= 1;
e612.. b264 + b265 =L= 1;
e613.. b262 + b265 =L= 1;
e614.. b263 + b265 =L= 1;
e615.. b264 + b265 =L= 1;
e616.. b266 + b267 =L= 1;
e617.. b266 + b268 =L= 1;
e618.. b266 + b269 =L= 1;
e619.. b266 + b267 =L= 1;
e620.. b267 + b268 =L= 1;
e621.. b267 + b269 =L= 1;
e622.. b266 + b268 =L= 1;
e623.. b267 + b268 =L= 1;
e624.. b268 + b269 =L= 1;
e625.. b266 + b269 =L= 1;
e626.. b267 + b269 =L= 1;
e627.. b268 + b269 =L= 1;
e628.. b270 + b271 =L= 1;
e629.. b270 + b272 =L= 1;
e630.. b270 + b273 =L= 1;
e631.. b270 + b271 =L= 1;
e632.. b271 + b272 =L= 1;
e633.. b271 + b273 =L= 1;
e634.. b270 + b272 =L= 1;
e635.. b271 + b272 =L= 1;
e636.. b272 + b273 =L= 1;
e637.. b270 + b273 =L= 1;
e638.. b271 + b273 =L= 1;
e639.. b272 + b273 =L= 1;
e640.. b274 + b275 =L= 1;
e641.. b274 + b276 =L= 1;
e642.. b274 + b277 =L= 1;
e643.. b274 + b275 =L= 1;
e644.. b275 + b276 =L= 1;
e645.. b275 + b277 =L= 1;
e646.. b274 + b276 =L= 1;
e647.. b275 + b276 =L= 1;
e648.. b276 + b277 =L= 1;
e649.. b274 + b277 =L= 1;
e650.. b275 + b277 =L= 1;
e651.. b276 + b277 =L= 1;
e652.. b278 + b279 =L= 1;
e653.. b278 + b280 =L= 1;
e654.. b278 + b281 =L= 1;
e655.. b278 + b279 =L= 1;
e656.. b279 + b280 =L= 1;
e657.. b279 + b281 =L= 1;
e658.. b278 + b280 =L= 1;
e659.. b279 + b280 =L= 1;
e660.. b280 + b281 =L= 1;
e661.. b278 + b281 =L= 1;
e662.. b279 + b281 =L= 1;
e663.. b280 + b281 =L= 1;
e664.. b162 - b222 =L= 0;
e665.. - b162 + b163 - b223 =L= 0;
e666.. - b162 - b163 + b164 - b224 =L= 0;
e667.. - b162 - b163 - b164 + b165 - b225 =L= 0;
e668.. b166 - b226 =L= 0;
e669.. - b166 + b167 - b227 =L= 0;
e670.. - b166 - b167 + b168 - b228 =L= 0;
e671.. - b166 - b167 - b168 + b169 - b229 =L= 0;
e672.. b170 - b230 =L= 0;
e673.. - b170 + b171 - b231 =L= 0;
e674.. - b170 - b171 + b172 - b232 =L= 0;
e675.. - b170 - b171 - b172 + b173 - b233 =L= 0;
e676.. b174 - b234 =L= 0;
e677.. - b174 + b175 - b235 =L= 0;
e678.. - b174 - b175 + b176 - b236 =L= 0;
e679.. - b174 - b175 - b176 + b177 - b237 =L= 0;
e680.. b178 - b238 =L= 0;
e681.. - b178 + b179 - b239 =L= 0;
e682.. - b178 - b179 + b180 - b240 =L= 0;
e683.. - b178 - b179 - b180 + b181 - b241 =L= 0;
e684.. b182 - b242 =L= 0;
e685.. - b182 + b183 - b243 =L= 0;
e686.. - b182 - b183 + b184 - b244 =L= 0;
e687.. - b182 - b183 - b184 + b185 - b245 =L= 0;
e688.. b186 - b246 =L= 0;
e689.. - b186 + b187 - b247 =L= 0;
e690.. - b186 - b187 + b188 - b248 =L= 0;
e691.. - b186 - b187 - b188 + b189 - b249 =L= 0;
e692.. b190 - b250 =L= 0;
e693.. - b190 + b191 - b251 =L= 0;
e694.. - b190 - b191 + b192 - b252 =L= 0;
e695.. - b190 - b191 - b192 + b193 - b253 =L= 0;
e696.. b194 - b254 =L= 0;
e697.. - b194 + b195 - b255 =L= 0;
e698.. - b194 - b195 + b196 - b256 =L= 0;
e699.. - b194 - b195 - b196 + b197 - b257 =L= 0;
e700.. b198 - b258 =L= 0;
e701.. - b198 + b199 - b259 =L= 0;
e702.. - b198 - b199 + b200 - b260 =L= 0;
e703.. - b198 - b199 - b200 + b201 - b261 =L= 0;
e704.. b202 - b262 =L= 0;
e705.. - b202 + b203 - b263 =L= 0;
e706.. - b202 - b203 + b204 - b264 =L= 0;
e707.. - b202 - b203 - b204 + b205 - b265 =L= 0;
e708.. b206 - b266 =L= 0;
e709.. - b206 + b207 - b267 =L= 0;
e710.. - b206 - b207 + b208 - b268 =L= 0;
e711.. - b206 - b207 - b208 + b209 - b269 =L= 0;
e712.. b210 - b270 =L= 0;
e713.. - b210 + b211 - b271 =L= 0;
e714.. - b210 - b211 + b212 - b272 =L= 0;
e715.. - b210 - b211 - b212 + b213 - b273 =L= 0;
e716.. b214 - b274 =L= 0;
e717.. - b214 + b215 - b275 =L= 0;
e718.. - b214 - b215 + b216 - b276 =L= 0;
e719.. - b214 - b215 - b216 + b217 - b277 =L= 0;
e720.. b218 - b278 =L= 0;
e721.. - b218 + b219 - b279 =L= 0;
e722.. - b218 - b219 + b220 - b280 =L= 0;
e723.. - b218 - b219 - b220 + b221 - b281 =L= 0;
e724.. b162 + b166 =E= 1;
e725.. b163 + b167 =E= 1;
e726.. b164 + b168 =E= 1;
e727.. b165 + b169 =E= 1;
e728.. - b170 + b182 + b186 =G= 0;
e729.. - b171 + b183 + b187 =G= 0;
e730.. - b172 + b184 + b188 =G= 0;
e731.. - b173 + b185 + b189 =G= 0;
e732.. - b182 + b206 =G= 0;
e733.. - b183 + b207 =G= 0;
e734.. - b184 + b208 =G= 0;
e735.. - b185 + b209 =G= 0;
e736.. - b186 + b210 =G= 0;
e737.. - b187 + b211 =G= 0;
e738.. - b188 + b212 =G= 0;
e739.. - b189 + b213 =G= 0;
e740.. - b174 + b190 =G= 0;
e741.. - b175 + b191 =G= 0;
e742.. - b176 + b192 =G= 0;
e743.. - b177 + b193 =G= 0;
e744.. - b190 + b214 + b218 =G= 0;
e745.. - b191 + b215 + b219 =G= 0;
e746.. - b192 + b216 + b220 =G= 0;
e747.. - b193 + b217 + b221 =G= 0;
e748.. - b178 + b194 + b198 + b202 =G= 0;
e749.. - b179 + b195 + b199 + b203 =G= 0;
e750.. - b180 + b196 + b200 + b204 =G= 0;
e751.. - b181 + b197 + b201 + b205 =G= 0;
e752.. - b194 + b218 =G= 0;
e753.. - b195 + b219 =G= 0;
e754.. - b196 + b220 =G= 0;
e755.. - b197 + b221 =G= 0;
e756.. b162 + b166 - b170 =G= 0;
e757.. b163 + b167 - b171 =G= 0;
e758.. b164 + b168 - b172 =G= 0;
e759.. b165 + b169 - b173 =G= 0;
e760.. b162 + b166 - b174 =G= 0;
e761.. b163 + b167 - b175 =G= 0;
e762.. b164 + b168 - b176 =G= 0;
e763.. b165 + b169 - b177 =G= 0;
e764.. b162 + b166 - b178 =G= 0;
e765.. b163 + b167 - b179 =G= 0;
e766.. b164 + b168 - b180 =G= 0;
e767.. b165 + b169 - b181 =G= 0;
e768.. b170 - b182 =G= 0;
e769.. b171 - b183 =G= 0;
e770.. b172 - b184 =G= 0;
e771.. b173 - b185 =G= 0;
e772.. b170 - b186 =G= 0;
e773.. b171 - b187 =G= 0;
e774.. b172 - b188 =G= 0;
e775.. b173 - b189 =G= 0;
e776.. b174 - b190 =G= 0;
e777.. b175 - b191 =G= 0;
e778.. b176 - b192 =G= 0;
e779.. b177 - b193 =G= 0;
e780.. b178 - b194 =G= 0;
e781.. b179 - b195 =G= 0;
e782.. b180 - b196 =G= 0;
e783.. b181 - b197 =G= 0;
e784.. b178 - b198 =G= 0;
e785.. b179 - b199 =G= 0;
e786.. b180 - b200 =G= 0;
e787.. b181 - b201 =G= 0;
e788.. b178 - b202 =G= 0;
e789.. b179 - b203 =G= 0;
e790.. b180 - b204 =G= 0;
e791.. b181 - b205 =G= 0;
e792.. b182 - b206 =G= 0;
e793.. b183 - b207 =G= 0;
e794.. b184 - b208 =G= 0;
e795.. b185 - b209 =G= 0;
e796.. b186 - b210 =G= 0;
e797.. b187 - b211 =G= 0;
e798.. b188 - b212 =G= 0;
e799.. b189 - b213 =G= 0;
e800.. b190 - b214 =G= 0;
e801.. b191 - b215 =G= 0;
e802.. b192 - b216 =G= 0;
e803.. b193 - b217 =G= 0;
e804.. b190 - b218 =G= 0;
e805.. b191 - b219 =G= 0;
e806.. b192 - b220 =G= 0;
e807.. b193 - b221 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x5.up = 40;
x46.up = 30;
x47.up = 30;
x48.up = 30;
x49.up = 30;
x114.up = 20;
x115.up = 20;
x116.up = 20;
x117.up = 20;
x118.up = 20;
x119.up = 20;
x120.up = 20;
x121.up = 20;
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

