MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn40m02m
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ⓘ | 388.77256000 (ALPHAECP) 388.77370470 (ANTIGONE) 388.77243640 (BARON) 1050.02750000 (BONMIN) 3155.85238900 (COUENNE) 388.77235660 (LINDO) 388.77336380 (SCIP) 388.77609370 (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ⓘ | Syn40M02M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 420 |
| #Binary Variablesⓘ | 160 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 56 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 132 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 812 |
| #Linear Constraintsⓘ | 756 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 56 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1880 |
| #Nonlinear Nonzeros in Jacobianⓘ | 56 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 56 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 56 |
| #Blocks in Hessian of Lagrangianⓘ | 56 |
| 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ⓘ | 3.2799e-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
* 813 45 224 544 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 421 261 160 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2013 1957 56 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,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
,x181,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,b282,b283,b284
,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
,b337,b338,b339,b340,b341,x342,x343,x344,x345,x346,x347,x348,x349
,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
,x415,x416,x417,x418,x419,x420,x421;
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,x162,x163,x164,x165,x166
,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
,x180,x181;
Binary Variables 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,b282,b283,b284
,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
,b337,b338,b339,b340,b341;
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,e808,e809,e810,e811,e812,e813;
e1.. objvar + x2 + x3 - 5*x14 - 10*x15 + x24 + x25 + 10*x58 + 5*x59 + 5*x60
+ 5*x61 - 40*x74 - 30*x75 - 15*x76 - 20*x77 - 10*x78 - 30*x79 - 30*x80
- 20*x81 - 35*x82 - 50*x83 - 20*x84 - 30*x85 - 25*x86 - 50*x87 - 15*x88
- 20*x89 - 30*x104 - 40*x105 + x114 + x115 + 5*x148 + 3*x149 + x150
+ x151 - 220*x164 - 210*x165 - 240*x166 - 220*x167 - 190*x168 - 160*x169
- 190*x170 - 190*x171 - 385*x172 - 490*x173 - 390*x174 - 505*x175
- 480*x176 - 600*x177 - 490*x178 - 600*x179 - 550*x180 - 550*x181
+ 5*b262 + 4*b263 + 8*b264 + 7*b265 + 6*b266 + 9*b267 + 10*b268 + 9*b269
+ 6*b270 + 10*b271 + 7*b272 + 7*b273 + 4*b274 + 3*b275 + 5*b276 + 6*b277
+ 2*b278 + 5*b279 + 4*b280 + 7*b281 + 3*b282 + 9*b283 + 7*b284 + 2*b285
+ 3*b286 + b287 + 2*b288 + 6*b289 + 4*b290 + 8*b291 + 2*b292 + 5*b293
+ 3*b294 + 4*b295 + 5*b296 + 7*b297 + 2*b298 + 8*b299 + b300 + 4*b301
+ 2*b302 + 5*b303 + 9*b304 + 2*b305 + 5*b306 + 8*b307 + 2*b308 + 3*b309
+ 10*b310 + 6*b311 + 4*b312 + 8*b313 + 7*b314 + 3*b315 + 4*b316 + 8*b317
+ 2*b318 + b319 + 8*b320 + 3*b321 + 9*b322 + 5*b323 + 3*b324 + 9*b325
+ 5*b326 + 3*b327 + 5*b328 + 3*b329 + 6*b330 + 4*b331 + 2*b332 + 6*b333
+ 6*b334 + 4*b335 + 3*b336 + 2*b337 + 5*b338 + 8*b339 + 9*b340 + 5*b341
=E= 0;
e2.. x2 - x4 - x6 =E= 0;
e3.. x3 - x5 - x7 =E= 0;
e4.. - x8 - x10 + x12 =E= 0;
e5.. - x9 - x11 + x13 =E= 0;
e6.. x12 - x14 - x16 =E= 0;
e7.. x13 - x15 - x17 =E= 0;
e8.. x16 - x18 - x20 - x22 =E= 0;
e9.. x17 - x19 - x21 - x23 =E= 0;
e10.. x26 - x32 - x34 =E= 0;
e11.. x27 - x33 - x35 =E= 0;
e12.. x30 - x36 - x38 - x40 =E= 0;
e13.. x31 - x37 - x39 - x41 =E= 0;
e14.. x46 - x54 - x56 =E= 0;
e15.. x47 - x55 - x57 =E= 0;
e16.. - x48 - x60 + x62 =E= 0;
e17.. - x49 - x61 + x63 =E= 0;
e18.. x50 - x64 - x66 =E= 0;
e19.. x51 - x65 - x67 =E= 0;
e20.. x52 - x68 - x70 - x72 =E= 0;
e21.. x53 - x69 - x71 - x73 =E= 0;
e22.. x90 - x92 =E= 0;
e23.. x91 - x93 =E= 0;
e24.. x92 - x94 - x96 =E= 0;
e25.. x93 - x95 - x97 =E= 0;
e26.. - x98 - x100 + x102 =E= 0;
e27.. - x99 - x101 + x103 =E= 0;
e28.. x102 - x104 - x106 =E= 0;
e29.. x103 - x105 - x107 =E= 0;
e30.. x106 - x108 - x110 - x112 =E= 0;
e31.. x107 - x109 - x111 - x113 =E= 0;
e32.. x116 - x122 - x124 =E= 0;
e33.. x117 - x123 - x125 =E= 0;
e34.. x120 - x126 - x128 - x130 =E= 0;
e35.. x121 - x127 - x129 - x131 =E= 0;
e36.. x136 - x144 - x146 =E= 0;
e37.. x137 - x145 - x147 =E= 0;
e38.. - x138 - x150 + x152 =E= 0;
e39.. - x139 - x151 + x153 =E= 0;
e40.. x140 - x154 - x156 =E= 0;
e41.. x141 - x155 - x157 =E= 0;
e42.. x142 - x158 - x160 - x162 =E= 0;
e43.. x143 - x159 - x161 - x163 =E= 0;
e44.. -log(1 + x4) + x8 + b182 =L= 1;
e45.. -log(1 + x5) + x9 + b183 =L= 1;
e46.. x4 - 10*b182 =L= 0;
e47.. x5 - 10*b183 =L= 0;
e48.. x8 - 2.39789527279837*b182 =L= 0;
e49.. x9 - 2.39789527279837*b183 =L= 0;
e50.. -1.2*log(1 + x6) + x10 + b184 =L= 1;
e51.. -1.2*log(1 + x7) + x11 + b185 =L= 1;
e52.. x6 - 10*b184 =L= 0;
e53.. x7 - 10*b185 =L= 0;
e54.. x10 - 2.87747432735804*b184 =L= 0;
e55.. x11 - 2.87747432735804*b185 =L= 0;
e56.. - 0.75*x18 + x26 + b186 =L= 1;
e57.. - 0.75*x19 + x27 + b187 =L= 1;
e58.. - 0.75*x18 + x26 - b186 =G= -1;
e59.. - 0.75*x19 + x27 - b187 =G= -1;
e60.. x18 - 2.87747432735804*b186 =L= 0;
e61.. x19 - 2.87747432735804*b187 =L= 0;
e62.. x26 - 2.15810574551853*b186 =L= 0;
e63.. x27 - 2.15810574551853*b187 =L= 0;
e64.. -1.5*log(1 + x20) + x28 + b188 =L= 1;
e65.. -1.5*log(1 + x21) + x29 + b189 =L= 1;
e66.. x20 - 2.87747432735804*b188 =L= 0;
e67.. x21 - 2.87747432735804*b189 =L= 0;
e68.. x28 - 2.03277599268042*b188 =L= 0;
e69.. x29 - 2.03277599268042*b189 =L= 0;
e70.. - x22 + x30 + b190 =L= 1;
e71.. - x23 + x31 + b191 =L= 1;
e72.. - x22 + x30 - b190 =G= -1;
e73.. - x23 + x31 - b191 =G= -1;
e74.. - 0.5*x24 + x30 + b190 =L= 1;
e75.. - 0.5*x25 + x31 + b191 =L= 1;
e76.. - 0.5*x24 + x30 - b190 =G= -1;
e77.. - 0.5*x25 + x31 - b191 =G= -1;
e78.. x22 - 2.87747432735804*b190 =L= 0;
e79.. x23 - 2.87747432735804*b191 =L= 0;
e80.. x24 - 7*b190 =L= 0;
e81.. x25 - 7*b191 =L= 0;
e82.. x30 - 3.5*b190 =L= 0;
e83.. x31 - 3.5*b191 =L= 0;
e84.. -1.25*log(1 + x32) + x42 + b192 =L= 1;
e85.. -1.25*log(1 + x33) + x43 + b193 =L= 1;
e86.. x32 - 2.15810574551853*b192 =L= 0;
e87.. x33 - 2.15810574551853*b193 =L= 0;
e88.. x42 - 1.43746550029693*b192 =L= 0;
e89.. x43 - 1.43746550029693*b193 =L= 0;
e90.. -0.9*log(1 + x34) + x44 + b194 =L= 1;
e91.. -0.9*log(1 + x35) + x45 + b195 =L= 1;
e92.. x34 - 2.15810574551853*b194 =L= 0;
e93.. x35 - 2.15810574551853*b195 =L= 0;
e94.. x44 - 1.03497516021379*b194 =L= 0;
e95.. x45 - 1.03497516021379*b195 =L= 0;
e96.. -log(1 + x28) + x46 + b196 =L= 1;
e97.. -log(1 + x29) + x47 + b197 =L= 1;
e98.. x28 - 2.03277599268042*b196 =L= 0;
e99.. x29 - 2.03277599268042*b197 =L= 0;
e100.. x46 - 1.10947836929589*b196 =L= 0;
e101.. x47 - 1.10947836929589*b197 =L= 0;
e102.. - 0.9*x36 + x48 + b198 =L= 1;
e103.. - 0.9*x37 + x49 + b199 =L= 1;
e104.. - 0.9*x36 + x48 - b198 =G= -1;
e105.. - 0.9*x37 + x49 - b199 =G= -1;
e106.. x36 - 3.5*b198 =L= 0;
e107.. x37 - 3.5*b199 =L= 0;
e108.. x48 - 3.15*b198 =L= 0;
e109.. x49 - 3.15*b199 =L= 0;
e110.. - 0.6*x38 + x50 + b200 =L= 1;
e111.. - 0.6*x39 + x51 + b201 =L= 1;
e112.. - 0.6*x38 + x50 - b200 =G= -1;
e113.. - 0.6*x39 + x51 - b201 =G= -1;
e114.. x38 - 3.5*b200 =L= 0;
e115.. x39 - 3.5*b201 =L= 0;
e116.. x50 - 2.1*b200 =L= 0;
e117.. x51 - 2.1*b201 =L= 0;
e118.. -1.1*log(1 + x40) + x52 + b202 =L= 1;
e119.. -1.1*log(1 + x41) + x53 + b203 =L= 1;
e120.. x40 - 3.5*b202 =L= 0;
e121.. x41 - 3.5*b203 =L= 0;
e122.. x52 - 1.6544851364539*b202 =L= 0;
e123.. x53 - 1.6544851364539*b203 =L= 0;
e124.. - 0.9*x42 + x74 + b204 =L= 1;
e125.. - 0.9*x43 + x75 + b205 =L= 1;
e126.. - 0.9*x42 + x74 - b204 =G= -1;
e127.. - 0.9*x43 + x75 - b205 =G= -1;
e128.. - x58 + x74 + b204 =L= 1;
e129.. - x59 + x75 + b205 =L= 1;
e130.. - x58 + x74 - b204 =G= -1;
e131.. - x59 + x75 - b205 =G= -1;
e132.. x42 - 1.43746550029693*b204 =L= 0;
e133.. x43 - 1.43746550029693*b205 =L= 0;
e134.. x58 - 7*b204 =L= 0;
e135.. x59 - 7*b205 =L= 0;
e136.. x74 - 7*b204 =L= 0;
e137.. x75 - 7*b205 =L= 0;
e138.. -log(1 + x44) + x76 + b206 =L= 1;
e139.. -log(1 + x45) + x77 + b207 =L= 1;
e140.. x44 - 1.03497516021379*b206 =L= 0;
e141.. x45 - 1.03497516021379*b207 =L= 0;
e142.. x76 - 0.710483612536911*b206 =L= 0;
e143.. x77 - 0.710483612536911*b207 =L= 0;
e144.. -0.7*log(1 + x54) + x78 + b208 =L= 1;
e145.. -0.7*log(1 + x55) + x79 + b209 =L= 1;
e146.. x54 - 1.10947836929589*b208 =L= 0;
e147.. x55 - 1.10947836929589*b209 =L= 0;
e148.. x78 - 0.522508489006913*b208 =L= 0;
e149.. x79 - 0.522508489006913*b209 =L= 0;
e150.. -0.65*log(1 + x56) + x80 + b210 =L= 1;
e151.. -0.65*log(1 + x57) + x81 + b211 =L= 1;
e152.. -0.65*log(1 + x62) + x80 + b210 =L= 1;
e153.. -0.65*log(1 + x63) + x81 + b211 =L= 1;
e154.. x56 - 1.10947836929589*b210 =L= 0;
e155.. x57 - 1.10947836929589*b211 =L= 0;
e156.. x62 - 8.15*b210 =L= 0;
e157.. x63 - 8.15*b211 =L= 0;
e158.. x80 - 1.43894002153683*b210 =L= 0;
e159.. x81 - 1.43894002153683*b211 =L= 0;
e160.. - x64 + x82 + b212 =L= 1;
e161.. - x65 + x83 + b213 =L= 1;
e162.. - x64 + x82 - b212 =G= -1;
e163.. - x65 + x83 - b213 =G= -1;
e164.. x64 - 2.1*b212 =L= 0;
e165.. x65 - 2.1*b213 =L= 0;
e166.. x82 - 2.1*b212 =L= 0;
e167.. x83 - 2.1*b213 =L= 0;
e168.. - x66 + x84 + b214 =L= 1;
e169.. - x67 + x85 + b215 =L= 1;
e170.. - x66 + x84 - b214 =G= -1;
e171.. - x67 + x85 - b215 =G= -1;
e172.. x66 - 2.1*b214 =L= 0;
e173.. x67 - 2.1*b215 =L= 0;
e174.. x84 - 2.1*b214 =L= 0;
e175.. x85 - 2.1*b215 =L= 0;
e176.. -0.75*log(1 + x68) + x86 + b216 =L= 1;
e177.. -0.75*log(1 + x69) + x87 + b217 =L= 1;
e178.. x68 - 1.6544851364539*b216 =L= 0;
e179.. x69 - 1.6544851364539*b217 =L= 0;
e180.. x86 - 0.732188035236726*b216 =L= 0;
e181.. x87 - 0.732188035236726*b217 =L= 0;
e182.. -0.8*log(1 + x70) + x88 + b218 =L= 1;
e183.. -0.8*log(1 + x71) + x89 + b219 =L= 1;
e184.. x70 - 1.6544851364539*b218 =L= 0;
e185.. x71 - 1.6544851364539*b219 =L= 0;
e186.. x88 - 0.781000570919175*b218 =L= 0;
e187.. x89 - 0.781000570919175*b219 =L= 0;
e188.. -0.85*log(1 + x72) + x90 + b220 =L= 1;
e189.. -0.85*log(1 + x73) + x91 + b221 =L= 1;
e190.. x72 - 1.6544851364539*b220 =L= 0;
e191.. x73 - 1.6544851364539*b221 =L= 0;
e192.. x90 - 0.829813106601623*b220 =L= 0;
e193.. x91 - 0.829813106601623*b221 =L= 0;
e194.. -log(1 + x94) + x98 + b222 =L= 1;
e195.. -log(1 + x95) + x99 + b223 =L= 1;
e196.. x94 - 0.829813106601623*b222 =L= 0;
e197.. x95 - 0.829813106601623*b223 =L= 0;
e198.. x98 - 0.604213834097861*b222 =L= 0;
e199.. x99 - 0.604213834097861*b223 =L= 0;
e200.. -1.2*log(1 + x96) + x100 + b224 =L= 1;
e201.. -1.2*log(1 + x97) + x101 + b225 =L= 1;
e202.. x96 - 0.829813106601623*b224 =L= 0;
e203.. x97 - 0.829813106601623*b225 =L= 0;
e204.. x100 - 0.725056600917433*b224 =L= 0;
e205.. x101 - 0.725056600917433*b225 =L= 0;
e206.. - 0.75*x108 + x116 + b226 =L= 1;
e207.. - 0.75*x109 + x117 + b227 =L= 1;
e208.. - 0.75*x108 + x116 - b226 =G= -1;
e209.. - 0.75*x109 + x117 - b227 =G= -1;
e210.. x108 - 0.725056600917433*b226 =L= 0;
e211.. x109 - 0.725056600917433*b227 =L= 0;
e212.. x116 - 0.543792450688075*b226 =L= 0;
e213.. x117 - 0.543792450688075*b227 =L= 0;
e214.. -1.5*log(1 + x110) + x118 + b228 =L= 1;
e215.. -1.5*log(1 + x111) + x119 + b229 =L= 1;
e216.. x110 - 0.725056600917433*b228 =L= 0;
e217.. x111 - 0.725056600917433*b229 =L= 0;
e218.. x118 - 0.817889793106597*b228 =L= 0;
e219.. x119 - 0.817889793106597*b229 =L= 0;
e220.. - x112 + x120 + b230 =L= 1;
e221.. - x113 + x121 + b231 =L= 1;
e222.. - x112 + x120 - b230 =G= -1;
e223.. - x113 + x121 - b231 =G= -1;
e224.. - 0.5*x114 + x120 + b230 =L= 1;
e225.. - 0.5*x115 + x121 + b231 =L= 1;
e226.. - 0.5*x114 + x120 - b230 =G= -1;
e227.. - 0.5*x115 + x121 - b231 =G= -1;
e228.. x112 - 0.725056600917433*b230 =L= 0;
e229.. x113 - 0.725056600917433*b231 =L= 0;
e230.. x114 - 7*b230 =L= 0;
e231.. x115 - 7*b231 =L= 0;
e232.. x120 - 3.5*b230 =L= 0;
e233.. x121 - 3.5*b231 =L= 0;
e234.. -1.25*log(1 + x122) + x132 + b232 =L= 1;
e235.. -1.25*log(1 + x123) + x133 + b233 =L= 1;
e236.. x122 - 0.543792450688075*b232 =L= 0;
e237.. x123 - 0.543792450688075*b233 =L= 0;
e238.. x132 - 0.542802524296876*b232 =L= 0;
e239.. x133 - 0.542802524296876*b233 =L= 0;
e240.. -0.9*log(1 + x124) + x134 + b234 =L= 1;
e241.. -0.9*log(1 + x125) + x135 + b235 =L= 1;
e242.. x124 - 0.543792450688075*b234 =L= 0;
e243.. x125 - 0.543792450688075*b235 =L= 0;
e244.. x134 - 0.39081781749375*b234 =L= 0;
e245.. x135 - 0.39081781749375*b235 =L= 0;
e246.. -log(1 + x118) + x136 + b236 =L= 1;
e247.. -log(1 + x119) + x137 + b237 =L= 1;
e248.. x118 - 0.817889793106597*b236 =L= 0;
e249.. x119 - 0.817889793106597*b237 =L= 0;
e250.. x136 - 0.597676374064473*b236 =L= 0;
e251.. x137 - 0.597676374064473*b237 =L= 0;
e252.. - 0.9*x126 + x138 + b238 =L= 1;
e253.. - 0.9*x127 + x139 + b239 =L= 1;
e254.. - 0.9*x126 + x138 - b238 =G= -1;
e255.. - 0.9*x127 + x139 - b239 =G= -1;
e256.. x126 - 3.5*b238 =L= 0;
e257.. x127 - 3.5*b239 =L= 0;
e258.. x138 - 3.15*b238 =L= 0;
e259.. x139 - 3.15*b239 =L= 0;
e260.. - 0.6*x128 + x140 + b240 =L= 1;
e261.. - 0.6*x129 + x141 + b241 =L= 1;
e262.. - 0.6*x128 + x140 - b240 =G= -1;
e263.. - 0.6*x129 + x141 - b241 =G= -1;
e264.. x128 - 3.5*b240 =L= 0;
e265.. x129 - 3.5*b241 =L= 0;
e266.. x140 - 2.1*b240 =L= 0;
e267.. x141 - 2.1*b241 =L= 0;
e268.. -1.1*log(1 + x130) + x142 + b242 =L= 1;
e269.. -1.1*log(1 + x131) + x143 + b243 =L= 1;
e270.. x130 - 3.5*b242 =L= 0;
e271.. x131 - 3.5*b243 =L= 0;
e272.. x142 - 1.6544851364539*b242 =L= 0;
e273.. x143 - 1.6544851364539*b243 =L= 0;
e274.. - 0.9*x132 + x164 + b244 =L= 1;
e275.. - 0.9*x133 + x165 + b245 =L= 1;
e276.. - 0.9*x132 + x164 - b244 =G= -1;
e277.. - 0.9*x133 + x165 - b245 =G= -1;
e278.. - x148 + x164 + b244 =L= 1;
e279.. - x149 + x165 + b245 =L= 1;
e280.. - x148 + x164 - b244 =G= -1;
e281.. - x149 + x165 - b245 =G= -1;
e282.. x132 - 0.542802524296876*b244 =L= 0;
e283.. x133 - 0.542802524296876*b245 =L= 0;
e284.. x148 - 7*b244 =L= 0;
e285.. x149 - 7*b245 =L= 0;
e286.. x164 - 7*b244 =L= 0;
e287.. x165 - 7*b245 =L= 0;
e288.. -log(1 + x134) + x166 + b246 =L= 1;
e289.. -log(1 + x135) + x167 + b247 =L= 1;
e290.. x134 - 0.39081781749375*b246 =L= 0;
e291.. x135 - 0.39081781749375*b247 =L= 0;
e292.. x166 - 0.329891932037118*b246 =L= 0;
e293.. x167 - 0.329891932037118*b247 =L= 0;
e294.. -0.7*log(1 + x144) + x168 + b248 =L= 1;
e295.. -0.7*log(1 + x145) + x169 + b249 =L= 1;
e296.. x144 - 0.597676374064473*b248 =L= 0;
e297.. x145 - 0.597676374064473*b249 =L= 0;
e298.. x168 - 0.327985215232756*b248 =L= 0;
e299.. x169 - 0.327985215232756*b249 =L= 0;
e300.. -0.65*log(1 + x146) + x170 + b250 =L= 1;
e301.. -0.65*log(1 + x147) + x171 + b251 =L= 1;
e302.. -0.65*log(1 + x152) + x170 + b250 =L= 1;
e303.. -0.65*log(1 + x153) + x171 + b251 =L= 1;
e304.. x146 - 0.597676374064473*b250 =L= 0;
e305.. x147 - 0.597676374064473*b251 =L= 0;
e306.. x152 - 8.15*b250 =L= 0;
e307.. x153 - 8.15*b251 =L= 0;
e308.. x170 - 1.43894002153683*b250 =L= 0;
e309.. x171 - 1.43894002153683*b251 =L= 0;
e310.. - x154 + x172 + b252 =L= 1;
e311.. - x155 + x173 + b253 =L= 1;
e312.. - x154 + x172 - b252 =G= -1;
e313.. - x155 + x173 - b253 =G= -1;
e314.. x154 - 2.1*b252 =L= 0;
e315.. x155 - 2.1*b253 =L= 0;
e316.. x172 - 2.1*b252 =L= 0;
e317.. x173 - 2.1*b253 =L= 0;
e318.. - x156 + x174 + b254 =L= 1;
e319.. - x157 + x175 + b255 =L= 1;
e320.. - x156 + x174 - b254 =G= -1;
e321.. - x157 + x175 - b255 =G= -1;
e322.. x156 - 2.1*b254 =L= 0;
e323.. x157 - 2.1*b255 =L= 0;
e324.. x174 - 2.1*b254 =L= 0;
e325.. x175 - 2.1*b255 =L= 0;
e326.. -0.75*log(1 + x158) + x176 + b256 =L= 1;
e327.. -0.75*log(1 + x159) + x177 + b257 =L= 1;
e328.. x158 - 1.6544851364539*b256 =L= 0;
e329.. x159 - 1.6544851364539*b257 =L= 0;
e330.. x176 - 0.732188035236726*b256 =L= 0;
e331.. x177 - 0.732188035236726*b257 =L= 0;
e332.. -0.8*log(1 + x160) + x178 + b258 =L= 1;
e333.. -0.8*log(1 + x161) + x179 + b259 =L= 1;
e334.. x160 - 1.6544851364539*b258 =L= 0;
e335.. x161 - 1.6544851364539*b259 =L= 0;
e336.. x178 - 0.781000570919175*b258 =L= 0;
e337.. x179 - 0.781000570919175*b259 =L= 0;
e338.. -0.85*log(1 + x162) + x180 + b260 =L= 1;
e339.. -0.85*log(1 + x163) + x181 + b261 =L= 1;
e340.. x162 - 1.6544851364539*b260 =L= 0;
e341.. x163 - 1.6544851364539*b261 =L= 0;
e342.. x180 - 0.829813106601623*b260 =L= 0;
e343.. x181 - 0.829813106601623*b261 =L= 0;
e344.. 5*b262 + x342 =L= 0;
e345.. 4*b263 + x343 =L= 0;
e346.. 8*b264 + x344 =L= 0;
e347.. 7*b265 + x345 =L= 0;
e348.. 6*b266 + x346 =L= 0;
e349.. 9*b267 + x347 =L= 0;
e350.. 10*b268 + x348 =L= 0;
e351.. 9*b269 + x349 =L= 0;
e352.. 6*b270 + x350 =L= 0;
e353.. 10*b271 + x351 =L= 0;
e354.. 7*b272 + x352 =L= 0;
e355.. 7*b273 + x353 =L= 0;
e356.. 4*b274 + x354 =L= 0;
e357.. 3*b275 + x355 =L= 0;
e358.. 5*b276 + x356 =L= 0;
e359.. 6*b277 + x357 =L= 0;
e360.. 2*b278 + x358 =L= 0;
e361.. 5*b279 + x359 =L= 0;
e362.. 4*b280 + x360 =L= 0;
e363.. 7*b281 + x361 =L= 0;
e364.. 3*b282 + x362 =L= 0;
e365.. 9*b283 + x363 =L= 0;
e366.. 7*b284 + x364 =L= 0;
e367.. 2*b285 + x365 =L= 0;
e368.. 3*b286 + x366 =L= 0;
e369.. b287 + x367 =L= 0;
e370.. 2*b288 + x368 =L= 0;
e371.. 6*b289 + x369 =L= 0;
e372.. 4*b290 + x370 =L= 0;
e373.. 8*b291 + x371 =L= 0;
e374.. 2*b292 + x372 =L= 0;
e375.. 5*b293 + x373 =L= 0;
e376.. 3*b294 + x374 =L= 0;
e377.. 4*b295 + x375 =L= 0;
e378.. 5*b296 + x376 =L= 0;
e379.. 7*b297 + x377 =L= 0;
e380.. 2*b298 + x378 =L= 0;
e381.. 8*b299 + x379 =L= 0;
e382.. b300 + x380 =L= 0;
e383.. 4*b301 + x381 =L= 0;
e384.. 2*b302 + x382 =L= 0;
e385.. 5*b303 + x383 =L= 0;
e386.. 9*b304 + x384 =L= 0;
e387.. 2*b305 + x385 =L= 0;
e388.. 5*b306 + x386 =L= 0;
e389.. 8*b307 + x387 =L= 0;
e390.. 2*b308 + x388 =L= 0;
e391.. 3*b309 + x389 =L= 0;
e392.. 10*b310 + x390 =L= 0;
e393.. 6*b311 + x391 =L= 0;
e394.. 4*b312 + x392 =L= 0;
e395.. 8*b313 + x393 =L= 0;
e396.. 7*b314 + x394 =L= 0;
e397.. 3*b315 + x395 =L= 0;
e398.. 4*b316 + x396 =L= 0;
e399.. 8*b317 + x397 =L= 0;
e400.. 2*b318 + x398 =L= 0;
e401.. b319 + x399 =L= 0;
e402.. 8*b320 + x400 =L= 0;
e403.. 3*b321 + x401 =L= 0;
e404.. 9*b322 + x402 =L= 0;
e405.. 5*b323 + x403 =L= 0;
e406.. 3*b324 + x404 =L= 0;
e407.. 9*b325 + x405 =L= 0;
e408.. 5*b326 + x406 =L= 0;
e409.. 3*b327 + x407 =L= 0;
e410.. 5*b328 + x408 =L= 0;
e411.. 3*b329 + x409 =L= 0;
e412.. 6*b330 + x410 =L= 0;
e413.. 4*b331 + x411 =L= 0;
e414.. 2*b332 + x412 =L= 0;
e415.. 6*b333 + x413 =L= 0;
e416.. 6*b334 + x414 =L= 0;
e417.. 4*b335 + x415 =L= 0;
e418.. 3*b336 + x416 =L= 0;
e419.. 2*b337 + x417 =L= 0;
e420.. 5*b338 + x418 =L= 0;
e421.. 8*b339 + x419 =L= 0;
e422.. 9*b340 + x420 =L= 0;
e423.. 5*b341 + x421 =L= 0;
e424.. 5*b262 + x342 =G= 0;
e425.. 4*b263 + x343 =G= 0;
e426.. 8*b264 + x344 =G= 0;
e427.. 7*b265 + x345 =G= 0;
e428.. 6*b266 + x346 =G= 0;
e429.. 9*b267 + x347 =G= 0;
e430.. 10*b268 + x348 =G= 0;
e431.. 9*b269 + x349 =G= 0;
e432.. 6*b270 + x350 =G= 0;
e433.. 10*b271 + x351 =G= 0;
e434.. 7*b272 + x352 =G= 0;
e435.. 7*b273 + x353 =G= 0;
e436.. 4*b274 + x354 =G= 0;
e437.. 3*b275 + x355 =G= 0;
e438.. 5*b276 + x356 =G= 0;
e439.. 6*b277 + x357 =G= 0;
e440.. 2*b278 + x358 =G= 0;
e441.. 5*b279 + x359 =G= 0;
e442.. 4*b280 + x360 =G= 0;
e443.. 7*b281 + x361 =G= 0;
e444.. 3*b282 + x362 =G= 0;
e445.. 9*b283 + x363 =G= 0;
e446.. 7*b284 + x364 =G= 0;
e447.. 2*b285 + x365 =G= 0;
e448.. 3*b286 + x366 =G= 0;
e449.. b287 + x367 =G= 0;
e450.. 2*b288 + x368 =G= 0;
e451.. 6*b289 + x369 =G= 0;
e452.. 4*b290 + x370 =G= 0;
e453.. 8*b291 + x371 =G= 0;
e454.. 2*b292 + x372 =G= 0;
e455.. 5*b293 + x373 =G= 0;
e456.. 3*b294 + x374 =G= 0;
e457.. 4*b295 + x375 =G= 0;
e458.. 5*b296 + x376 =G= 0;
e459.. 7*b297 + x377 =G= 0;
e460.. 2*b298 + x378 =G= 0;
e461.. 8*b299 + x379 =G= 0;
e462.. b300 + x380 =G= 0;
e463.. 4*b301 + x381 =G= 0;
e464.. 2*b302 + x382 =G= 0;
e465.. 5*b303 + x383 =G= 0;
e466.. 9*b304 + x384 =G= 0;
e467.. 2*b305 + x385 =G= 0;
e468.. 5*b306 + x386 =G= 0;
e469.. 8*b307 + x387 =G= 0;
e470.. 2*b308 + x388 =G= 0;
e471.. 3*b309 + x389 =G= 0;
e472.. 10*b310 + x390 =G= 0;
e473.. 6*b311 + x391 =G= 0;
e474.. 4*b312 + x392 =G= 0;
e475.. 8*b313 + x393 =G= 0;
e476.. 7*b314 + x394 =G= 0;
e477.. 3*b315 + x395 =G= 0;
e478.. 4*b316 + x396 =G= 0;
e479.. 8*b317 + x397 =G= 0;
e480.. 2*b318 + x398 =G= 0;
e481.. b319 + x399 =G= 0;
e482.. 8*b320 + x400 =G= 0;
e483.. 3*b321 + x401 =G= 0;
e484.. 9*b322 + x402 =G= 0;
e485.. 5*b323 + x403 =G= 0;
e486.. 3*b324 + x404 =G= 0;
e487.. 9*b325 + x405 =G= 0;
e488.. 5*b326 + x406 =G= 0;
e489.. 3*b327 + x407 =G= 0;
e490.. 5*b328 + x408 =G= 0;
e491.. 3*b329 + x409 =G= 0;
e492.. 6*b330 + x410 =G= 0;
e493.. 4*b331 + x411 =G= 0;
e494.. 2*b332 + x412 =G= 0;
e495.. 6*b333 + x413 =G= 0;
e496.. 6*b334 + x414 =G= 0;
e497.. 4*b335 + x415 =G= 0;
e498.. 3*b336 + x416 =G= 0;
e499.. 2*b337 + x417 =G= 0;
e500.. 5*b338 + x418 =G= 0;
e501.. 8*b339 + x419 =G= 0;
e502.. 9*b340 + x420 =G= 0;
e503.. 5*b341 + x421 =G= 0;
e504.. b182 - b183 =L= 0;
e505.. b184 - b185 =L= 0;
e506.. b186 - b187 =L= 0;
e507.. b188 - b189 =L= 0;
e508.. b190 - b191 =L= 0;
e509.. b192 - b193 =L= 0;
e510.. b194 - b195 =L= 0;
e511.. b196 - b197 =L= 0;
e512.. b198 - b199 =L= 0;
e513.. b200 - b201 =L= 0;
e514.. b202 - b203 =L= 0;
e515.. b204 - b205 =L= 0;
e516.. b206 - b207 =L= 0;
e517.. b208 - b209 =L= 0;
e518.. b210 - b211 =L= 0;
e519.. b212 - b213 =L= 0;
e520.. b214 - b215 =L= 0;
e521.. b216 - b217 =L= 0;
e522.. b218 - b219 =L= 0;
e523.. b220 - b221 =L= 0;
e524.. b222 - b223 =L= 0;
e525.. b224 - b225 =L= 0;
e526.. b226 - b227 =L= 0;
e527.. b228 - b229 =L= 0;
e528.. b230 - b231 =L= 0;
e529.. b232 - b233 =L= 0;
e530.. b234 - b235 =L= 0;
e531.. b236 - b237 =L= 0;
e532.. b238 - b239 =L= 0;
e533.. b240 - b241 =L= 0;
e534.. b242 - b243 =L= 0;
e535.. b244 - b245 =L= 0;
e536.. b246 - b247 =L= 0;
e537.. b248 - b249 =L= 0;
e538.. b250 - b251 =L= 0;
e539.. b252 - b253 =L= 0;
e540.. b254 - b255 =L= 0;
e541.. b256 - b257 =L= 0;
e542.. b258 - b259 =L= 0;
e543.. b260 - b261 =L= 0;
e544.. b262 + b263 =L= 1;
e545.. b262 + b263 =L= 1;
e546.. b264 + b265 =L= 1;
e547.. b264 + b265 =L= 1;
e548.. b266 + b267 =L= 1;
e549.. b266 + b267 =L= 1;
e550.. b268 + b269 =L= 1;
e551.. b268 + b269 =L= 1;
e552.. b270 + b271 =L= 1;
e553.. b270 + b271 =L= 1;
e554.. b272 + b273 =L= 1;
e555.. b272 + b273 =L= 1;
e556.. b274 + b275 =L= 1;
e557.. b274 + b275 =L= 1;
e558.. b276 + b277 =L= 1;
e559.. b276 + b277 =L= 1;
e560.. b278 + b279 =L= 1;
e561.. b278 + b279 =L= 1;
e562.. b280 + b281 =L= 1;
e563.. b280 + b281 =L= 1;
e564.. b282 + b283 =L= 1;
e565.. b282 + b283 =L= 1;
e566.. b284 + b285 =L= 1;
e567.. b284 + b285 =L= 1;
e568.. b286 + b287 =L= 1;
e569.. b286 + b287 =L= 1;
e570.. b288 + b289 =L= 1;
e571.. b288 + b289 =L= 1;
e572.. b290 + b291 =L= 1;
e573.. b290 + b291 =L= 1;
e574.. b292 + b293 =L= 1;
e575.. b292 + b293 =L= 1;
e576.. b294 + b295 =L= 1;
e577.. b294 + b295 =L= 1;
e578.. b296 + b297 =L= 1;
e579.. b296 + b297 =L= 1;
e580.. b298 + b299 =L= 1;
e581.. b298 + b299 =L= 1;
e582.. b300 + b301 =L= 1;
e583.. b300 + b301 =L= 1;
e584.. b302 + b303 =L= 1;
e585.. b302 + b303 =L= 1;
e586.. b304 + b305 =L= 1;
e587.. b304 + b305 =L= 1;
e588.. b306 + b307 =L= 1;
e589.. b306 + b307 =L= 1;
e590.. b308 + b309 =L= 1;
e591.. b308 + b309 =L= 1;
e592.. b310 + b311 =L= 1;
e593.. b310 + b311 =L= 1;
e594.. b312 + b313 =L= 1;
e595.. b312 + b313 =L= 1;
e596.. b314 + b315 =L= 1;
e597.. b314 + b315 =L= 1;
e598.. b316 + b317 =L= 1;
e599.. b316 + b317 =L= 1;
e600.. b318 + b319 =L= 1;
e601.. b318 + b319 =L= 1;
e602.. b320 + b321 =L= 1;
e603.. b320 + b321 =L= 1;
e604.. b322 + b323 =L= 1;
e605.. b322 + b323 =L= 1;
e606.. b324 + b325 =L= 1;
e607.. b324 + b325 =L= 1;
e608.. b326 + b327 =L= 1;
e609.. b326 + b327 =L= 1;
e610.. b328 + b329 =L= 1;
e611.. b328 + b329 =L= 1;
e612.. b330 + b331 =L= 1;
e613.. b330 + b331 =L= 1;
e614.. b332 + b333 =L= 1;
e615.. b332 + b333 =L= 1;
e616.. b334 + b335 =L= 1;
e617.. b334 + b335 =L= 1;
e618.. b336 + b337 =L= 1;
e619.. b336 + b337 =L= 1;
e620.. b338 + b339 =L= 1;
e621.. b338 + b339 =L= 1;
e622.. b340 + b341 =L= 1;
e623.. b340 + b341 =L= 1;
e624.. b182 - b262 =L= 0;
e625.. - b182 + b183 - b263 =L= 0;
e626.. b184 - b264 =L= 0;
e627.. - b184 + b185 - b265 =L= 0;
e628.. b186 - b266 =L= 0;
e629.. - b186 + b187 - b267 =L= 0;
e630.. b188 - b268 =L= 0;
e631.. - b188 + b189 - b269 =L= 0;
e632.. b190 - b270 =L= 0;
e633.. - b190 + b191 - b271 =L= 0;
e634.. b192 - b272 =L= 0;
e635.. - b192 + b193 - b273 =L= 0;
e636.. b194 - b274 =L= 0;
e637.. - b194 + b195 - b275 =L= 0;
e638.. b196 - b276 =L= 0;
e639.. - b196 + b197 - b277 =L= 0;
e640.. b198 - b278 =L= 0;
e641.. - b198 + b199 - b279 =L= 0;
e642.. b200 - b280 =L= 0;
e643.. - b200 + b201 - b281 =L= 0;
e644.. b202 - b282 =L= 0;
e645.. - b202 + b203 - b283 =L= 0;
e646.. b204 - b284 =L= 0;
e647.. - b204 + b205 - b285 =L= 0;
e648.. b206 - b286 =L= 0;
e649.. - b206 + b207 - b287 =L= 0;
e650.. b208 - b288 =L= 0;
e651.. - b208 + b209 - b289 =L= 0;
e652.. b210 - b290 =L= 0;
e653.. - b210 + b211 - b291 =L= 0;
e654.. b212 - b292 =L= 0;
e655.. - b212 + b213 - b293 =L= 0;
e656.. b214 - b294 =L= 0;
e657.. - b214 + b215 - b295 =L= 0;
e658.. b216 - b296 =L= 0;
e659.. - b216 + b217 - b297 =L= 0;
e660.. b218 - b298 =L= 0;
e661.. - b218 + b219 - b299 =L= 0;
e662.. b220 - b300 =L= 0;
e663.. - b220 + b221 - b301 =L= 0;
e664.. b222 - b302 =L= 0;
e665.. - b222 + b223 - b303 =L= 0;
e666.. b224 - b304 =L= 0;
e667.. - b224 + b225 - b305 =L= 0;
e668.. b226 - b306 =L= 0;
e669.. - b226 + b227 - b307 =L= 0;
e670.. b228 - b308 =L= 0;
e671.. - b228 + b229 - b309 =L= 0;
e672.. b230 - b310 =L= 0;
e673.. - b230 + b231 - b311 =L= 0;
e674.. b232 - b312 =L= 0;
e675.. - b232 + b233 - b313 =L= 0;
e676.. b234 - b314 =L= 0;
e677.. - b234 + b235 - b315 =L= 0;
e678.. b236 - b316 =L= 0;
e679.. - b236 + b237 - b317 =L= 0;
e680.. b238 - b318 =L= 0;
e681.. - b238 + b239 - b319 =L= 0;
e682.. b240 - b320 =L= 0;
e683.. - b240 + b241 - b321 =L= 0;
e684.. b242 - b322 =L= 0;
e685.. - b242 + b243 - b323 =L= 0;
e686.. b244 - b324 =L= 0;
e687.. - b244 + b245 - b325 =L= 0;
e688.. b246 - b326 =L= 0;
e689.. - b246 + b247 - b327 =L= 0;
e690.. b248 - b328 =L= 0;
e691.. - b248 + b249 - b329 =L= 0;
e692.. b250 - b330 =L= 0;
e693.. - b250 + b251 - b331 =L= 0;
e694.. b252 - b332 =L= 0;
e695.. - b252 + b253 - b333 =L= 0;
e696.. b254 - b334 =L= 0;
e697.. - b254 + b255 - b335 =L= 0;
e698.. b256 - b336 =L= 0;
e699.. - b256 + b257 - b337 =L= 0;
e700.. b258 - b338 =L= 0;
e701.. - b258 + b259 - b339 =L= 0;
e702.. b260 - b340 =L= 0;
e703.. - b260 + b261 - b341 =L= 0;
e704.. b182 + b184 =E= 1;
e705.. b183 + b185 =E= 1;
e706.. - b186 + b192 + b194 =G= 0;
e707.. - b187 + b193 + b195 =G= 0;
e708.. - b192 + b204 =G= 0;
e709.. - b193 + b205 =G= 0;
e710.. - b194 + b206 =G= 0;
e711.. - b195 + b207 =G= 0;
e712.. - b188 + b196 =G= 0;
e713.. - b189 + b197 =G= 0;
e714.. - b196 + b208 + b210 =G= 0;
e715.. - b197 + b209 + b211 =G= 0;
e716.. - b190 + b198 + b200 + b202 =G= 0;
e717.. - b191 + b199 + b201 + b203 =G= 0;
e718.. - b198 + b210 =G= 0;
e719.. - b199 + b211 =G= 0;
e720.. - b200 + b212 + b214 =G= 0;
e721.. - b201 + b213 + b215 =G= 0;
e722.. - b202 + b216 + b218 + b220 =G= 0;
e723.. - b203 + b217 + b219 + b221 =G= 0;
e724.. b186 - b192 =G= 0;
e725.. b187 - b193 =G= 0;
e726.. b186 - b194 =G= 0;
e727.. b187 - b195 =G= 0;
e728.. b188 - b196 =G= 0;
e729.. b189 - b197 =G= 0;
e730.. b190 - b198 =G= 0;
e731.. b191 - b199 =G= 0;
e732.. b190 - b200 =G= 0;
e733.. b191 - b201 =G= 0;
e734.. b190 - b202 =G= 0;
e735.. b191 - b203 =G= 0;
e736.. b192 - b204 =G= 0;
e737.. b193 - b205 =G= 0;
e738.. b194 - b206 =G= 0;
e739.. b195 - b207 =G= 0;
e740.. b196 - b208 =G= 0;
e741.. b197 - b209 =G= 0;
e742.. b196 - b210 =G= 0;
e743.. b197 - b211 =G= 0;
e744.. b200 - b212 =G= 0;
e745.. b201 - b213 =G= 0;
e746.. b200 - b214 =G= 0;
e747.. b201 - b215 =G= 0;
e748.. b202 - b216 =G= 0;
e749.. b203 - b217 =G= 0;
e750.. b202 - b218 =G= 0;
e751.. b203 - b219 =G= 0;
e752.. b202 - b220 =G= 0;
e753.. b203 - b221 =G= 0;
e754.. - b220 + b222 + b224 =G= 0;
e755.. - b221 + b223 + b225 =G= 0;
e756.. - b226 + b232 + b234 =G= 0;
e757.. - b227 + b233 + b235 =G= 0;
e758.. - b232 + b244 =G= 0;
e759.. - b233 + b245 =G= 0;
e760.. - b234 + b246 =G= 0;
e761.. - b235 + b247 =G= 0;
e762.. - b228 + b236 =G= 0;
e763.. - b229 + b237 =G= 0;
e764.. - b236 + b248 + b250 =G= 0;
e765.. - b237 + b249 + b251 =G= 0;
e766.. - b230 + b238 + b240 + b242 =G= 0;
e767.. - b231 + b239 + b241 + b243 =G= 0;
e768.. - b238 + b250 =G= 0;
e769.. - b239 + b251 =G= 0;
e770.. - b240 + b252 + b254 =G= 0;
e771.. - b241 + b253 + b255 =G= 0;
e772.. - b242 + b256 + b258 + b260 =G= 0;
e773.. - b243 + b257 + b259 + b261 =G= 0;
e774.. b226 - b232 =G= 0;
e775.. b227 - b233 =G= 0;
e776.. b226 - b234 =G= 0;
e777.. b227 - b235 =G= 0;
e778.. b232 - b244 =G= 0;
e779.. b233 - b245 =G= 0;
e780.. b234 - b246 =G= 0;
e781.. b235 - b247 =G= 0;
e782.. b228 - b236 =G= 0;
e783.. b229 - b237 =G= 0;
e784.. b236 - b248 =G= 0;
e785.. b237 - b249 =G= 0;
e786.. b236 - b250 =G= 0;
e787.. b237 - b251 =G= 0;
e788.. b230 - b238 =G= 0;
e789.. b231 - b239 =G= 0;
e790.. b230 - b240 =G= 0;
e791.. b231 - b241 =G= 0;
e792.. b230 - b242 =G= 0;
e793.. b231 - b243 =G= 0;
e794.. b240 - b252 =G= 0;
e795.. b241 - b253 =G= 0;
e796.. b240 - b254 =G= 0;
e797.. b241 - b255 =G= 0;
e798.. b242 - b256 =G= 0;
e799.. b243 - b257 =G= 0;
e800.. b242 - b258 =G= 0;
e801.. b243 - b259 =G= 0;
e802.. b242 - b260 =G= 0;
e803.. b243 - b261 =G= 0;
e804.. b182 + b184 - b186 =G= 0;
e805.. b183 + b185 - b187 =G= 0;
e806.. b182 + b184 - b188 =G= 0;
e807.. b183 + b185 - b189 =G= 0;
e808.. b182 + b184 - b190 =G= 0;
e809.. b183 + b185 - b191 =G= 0;
e810.. b220 - b222 =G= 0;
e811.. b221 - b223 =G= 0;
e812.. b220 - b224 =G= 0;
e813.. b221 - b225 =G= 0;
* set non-default bounds
x2.up = 10;
x3.up = 10;
x24.up = 7;
x25.up = 7;
x58.up = 7;
x59.up = 7;
x60.up = 5;
x61.up = 5;
x114.up = 7;
x115.up = 7;
x148.up = 7;
x149.up = 7;
x150.up = 5;
x151.up = 5;
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