MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance blend852
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 53.96270005 (ANTIGONE) 53.96270005 (BARON) 56.29570000 (COUENNE) 53.96270014 (GUROBI) 54.26250001 (LINDO) 53.96270000 (SCIP) 54.71870000 (SHOT) |
| Referencesⓘ | Trespalacios, Francisco, Kolodziej, Scott P, Furman, Kevin C, and Sawaya, Nicolas W, Multiperiod Blend Scheduling Problem, 2013. |
| Sourceⓘ | MPBP-852.gms from minlp.org model 168 |
| Applicationⓘ | Multiperiod Blend Scheduling |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBQCP |
| #Variablesⓘ | 304 |
| #Binary Variablesⓘ | 120 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 108 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 236 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 860 |
| #Linear Constraintsⓘ | 828 |
| #Quadratic Constraintsⓘ | 32 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 2176 |
| #Nonlinear Nonzeros in Jacobianⓘ | 376 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 304 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 16 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 3 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 8 |
| Average blocksize in Hessian of Lagrangianⓘ | 6.75 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-02 |
| Maximal coefficientⓘ | 9.4600e+00 |
| Infeasibility of initial pointⓘ | 1.9 |
| Sparsity Jacobianⓘ | ![]() |
| Sparsity Hessian of Lagrangianⓘ | ![]() |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 861 65 208 588 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 305 185 120 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2413 2037 376 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,x182,x183,x184,x185,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;
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,x182,x183,x184,x185;
Binary Variables 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;
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,e814,e815,e816,e817,e818
,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
,e858,e859,e860,e861;
e1.. objvar + 1.03*x2 + 1.03*x3 + 1.03*x4 + 1.03*x5 + 0.75*x6 + 0.75*x7
+ 0.75*x8 + 0.75*x9 + 0.49*x10 + 0.49*x11 + 0.49*x12 + 0.49*x13
+ 0.95*x14 + 0.95*x15 + 0.95*x16 + 0.95*x17 - 8.83*x18 - 8.83*x19
- 8.83*x20 - 8.83*x21 + 1.05*x22 + 1.05*x23 + 1.05*x24 + 1.05*x25
+ 1.78*x26 + 1.78*x27 + 1.78*x28 + 1.78*x29 + 1.13*x30 + 1.13*x31
+ 1.13*x32 + 1.13*x33 - 8.13*x34 - 8.13*x35 - 8.13*x36 - 8.13*x37
- 8.26*x38 - 8.26*x39 - 8.26*x40 - 8.26*x41 + 0.79*x42 + 0.79*x43
+ 0.79*x44 + 0.79*x45 + 0.53*x46 + 0.53*x47 + 0.53*x48 + 0.53*x49
+ 0.6*x50 + 0.6*x51 + 0.6*x52 + 0.6*x53 - 8.95*x54 - 8.95*x55 - 8.95*x56
- 8.95*x57 - 8.85*x58 - 8.85*x59 - 8.85*x60 - 8.85*x61 + 0.08*x62
+ 0.08*x63 + 0.08*x64 + 0.08*x65 + 0.91*x66 + 0.91*x67 + 0.91*x68
+ 0.91*x69 + 0.83*x70 + 0.83*x71 + 0.83*x72 + 0.83*x73 - 8.6*x74
- 8.6*x75 - 8.6*x76 - 8.6*x77 - 9.16*x78 - 9.16*x79 - 9.16*x80 - 9.16*x81
+ 0.96*x82 + 0.96*x83 + 0.96*x84 + 0.96*x85 + 0.77*x86 + 0.77*x87
+ 0.77*x88 + 0.77*x89 + 0.87*x90 + 0.87*x91 + 0.87*x92 + 0.87*x93
- 9.2*x94 - 9.2*x95 - 9.2*x96 - 9.2*x97 - 8.8*x98 - 8.8*x99 - 8.8*x100
- 8.8*x101 + 0.91*x102 + 0.91*x103 + 0.91*x104 + 0.91*x105 + 0.26*x106
+ 0.26*x107 + 0.26*x108 + 0.26*x109 + 0.14*x110 + 0.14*x111 + 0.14*x112
+ 0.14*x113 - 9.02*x114 - 9.02*x115 - 9.02*x116 - 9.02*x117 - 9.46*x118
- 9.46*x119 - 9.46*x120 - 9.46*x121 + 0.35*b186 + 0.35*b187 + 0.35*b188
+ 0.35*b189 + 0.59*b190 + 0.59*b191 + 0.59*b192 + 0.59*b193 + 0.92*b194
+ 0.92*b195 + 0.92*b196 + 0.92*b197 + 0.76*b198 + 0.76*b199 + 0.76*b200
+ 0.76*b201 + 0.38*b202 + 0.38*b203 + 0.38*b204 + 0.38*b205 + 0.08*b206
+ 0.08*b207 + 0.08*b208 + 0.08*b209 + 0.53*b210 + 0.53*b211 + 0.53*b212
+ 0.53*b213 + 0.93*b214 + 0.93*b215 + 0.93*b216 + 0.93*b217 + 0.57*b218
+ 0.57*b219 + 0.57*b220 + 0.57*b221 + 0.01*b222 + 0.01*b223 + 0.01*b224
+ 0.01*b225 + 0.16*b226 + 0.16*b227 + 0.16*b228 + 0.16*b229 + 0.31*b230
+ 0.31*b231 + 0.31*b232 + 0.31*b233 + 0.17*b234 + 0.17*b235 + 0.17*b236
+ 0.17*b237 + 0.26*b238 + 0.26*b239 + 0.26*b240 + 0.26*b241 + 0.69*b242
+ 0.69*b243 + 0.69*b244 + 0.69*b245 + 0.45*b246 + 0.45*b247 + 0.45*b248
+ 0.45*b249 + 0.23*b250 + 0.23*b251 + 0.23*b252 + 0.23*b253 + 0.15*b254
+ 0.15*b255 + 0.15*b256 + 0.15*b257 + 0.54*b258 + 0.54*b259 + 0.54*b260
+ 0.54*b261 + 0.08*b262 + 0.08*b263 + 0.08*b264 + 0.08*b265 + 0.11*b266
+ 0.11*b267 + 0.11*b268 + 0.11*b269 + 0.82*b274 + 0.82*b275 + 0.82*b276
+ 0.82*b277 + 0.08*b278 + 0.08*b279 + 0.08*b280 + 0.08*b281 + 0.26*b282
+ 0.26*b283 + 0.26*b284 + 0.26*b285 + 0.43*b286 + 0.43*b287 + 0.43*b288
+ 0.43*b289 + 0.18*b290 + 0.18*b291 + 0.18*b292 + 0.18*b293 + 0.15*b294
+ 0.15*b295 + 0.15*b296 + 0.15*b297 + 0.87*b298 + 0.87*b299 + 0.87*b300
+ 0.87*b301 + 0.55*b302 + 0.55*b303 + 0.55*b304 + 0.55*b305 =E= 0;
e2.. x2 + x6 + x10 + x14 + x18 + x154 =E= 1.9;
e3.. x22 + x26 + x30 + x34 + x38 + x158 =E= 1.8;
e4.. - x2 + x42 + x46 + x50 + x54 + x58 - x62 - x82 - x102 + x162 =E= 0.3;
e5.. - x6 - x22 - x42 + x62 + x66 + x70 + x74 + x78 - x86 - x106 + x166
=E= 1.8;
e6.. - x10 - x26 - x46 - x66 + x82 + x86 + x90 + x94 + x98 - x110 + x170
=E= 1.3;
e7.. - x14 - x30 - x50 - x70 - x90 + x102 + x106 + x110 + x114 + x118 + x174
=E= 0.2;
e8.. - x18 - x34 - x54 - x74 - x94 - x114 + x178 =E= 0.16;
e9.. - x38 - x58 - x78 - x98 - x118 + x182 =E= 0.72;
e10.. x122*x162 - 0.7*x2 + 0.7*x42 + 0.7*x46 + 0.7*x50 + 0.7*x54 + 0.7*x58
- 0.8*x62 - 0.7*x82 - 0.7*x102 =E= 0.21;
e11.. x126*x166 - 0.7*x6 - 0.9*x22 - 0.7*x42 + 0.8*x62 + 0.8*x66 + 0.8*x70
+ 0.8*x74 + 0.8*x78 - 0.7*x86 - 0.7*x106 =E= 1.44;
e12.. x130*x170 - 0.7*x10 - 0.9*x26 - 0.7*x46 - 0.8*x66 + 0.7*x82 + 0.7*x86
+ 0.7*x90 + 0.7*x94 + 0.7*x98 - 0.7*x110 =E= 0.91;
e13.. x134*x174 - 0.7*x14 - 0.9*x30 - 0.7*x50 - 0.8*x70 - 0.7*x90 + 0.7*x102
+ 0.7*x106 + 0.7*x110 + 0.7*x114 + 0.7*x118 =E= 0.14;
e14.. x138*x162 - 0.2*x2 - 0.9*x62 - 0.8*x82 - 0.4*x102 =E= 0;
e15.. x142*x166 - 0.2*x6 - 0.8*x22 + 0.9*x62 + 0.9*x66 + 0.9*x70 + 0.9*x74
+ 0.9*x78 - 0.8*x86 - 0.4*x106 =E= 1.62;
e16.. x146*x170 - 0.2*x10 - 0.8*x26 - 0.9*x66 + 0.8*x82 + 0.8*x86 + 0.8*x90
+ 0.8*x94 + 0.8*x98 - 0.4*x110 =E= 1.04;
e17.. x150*x174 - 0.2*x14 - 0.8*x30 - 0.9*x70 - 0.8*x90 + 0.4*x102 + 0.4*x106
+ 0.4*x110 + 0.4*x114 + 0.4*x118 =E= 0.08;
e18.. x3 + x7 + x11 + x15 + x19 - x154 + x155 =E= 0.1;
e19.. x4 + x8 + x12 + x16 + x20 - x155 + x156 =E= 0.7;
e20.. x5 + x9 + x13 + x17 + x21 - x156 + x157 =E= 1;
e21.. x23 + x27 + x31 + x35 + x39 - x158 + x159 =E= 0.8;
e22.. x24 + x28 + x32 + x36 + x40 - x159 + x160 =E= 0.3;
e23.. x25 + x29 + x33 + x37 + x41 - x160 + x161 =E= 0;
e24.. - x3 + x43 + x47 + x51 + x55 + x59 - x63 - x83 - x103 - x162 + x163
=E= 0;
e25.. - x4 + x44 + x48 + x52 + x56 + x60 - x64 - x84 - x104 - x163 + x164
=E= 0;
e26.. - x5 + x45 + x49 + x53 + x57 + x61 - x65 - x85 - x105 - x164 + x165
=E= 0;
e27.. - x7 - x23 - x43 + x63 + x67 + x71 + x75 + x79 - x87 - x107 - x166
+ x167 =E= 0;
e28.. - x8 - x24 - x44 + x64 + x68 + x72 + x76 + x80 - x88 - x108 - x167
+ x168 =E= 0;
e29.. - x9 - x25 - x45 + x65 + x69 + x73 + x77 + x81 - x89 - x109 - x168
+ x169 =E= 0;
e30.. - x11 - x27 - x47 - x67 + x83 + x87 + x91 + x95 + x99 - x111 - x170
+ x171 =E= 0;
e31.. - x12 - x28 - x48 - x68 + x84 + x88 + x92 + x96 + x100 - x112 - x171
+ x172 =E= 0;
e32.. - x13 - x29 - x49 - x69 + x85 + x89 + x93 + x97 + x101 - x113 - x172
+ x173 =E= 0;
e33.. - x15 - x31 - x51 - x71 - x91 + x103 + x107 + x111 + x115 + x119 - x174
+ x175 =E= 0;
e34.. - x16 - x32 - x52 - x72 - x92 + x104 + x108 + x112 + x116 + x120 - x175
+ x176 =E= 0;
e35.. - x17 - x33 - x53 - x73 - x93 + x105 + x109 + x113 + x117 + x121 - x176
+ x177 =E= 0;
e36.. - x19 - x35 - x55 - x75 - x95 - x115 - x178 + x179 =E= -0.77;
e37.. - x20 - x36 - x56 - x76 - x96 - x116 - x179 + x180 =E= -0.19;
e38.. - x21 - x37 - x57 - x77 - x97 - x117 - x180 + x181 =E= -0.45;
e39.. - x39 - x59 - x79 - x99 - x119 - x182 + x183 =E= -0.8;
e40.. - x40 - x60 - x80 - x100 - x120 - x183 + x184 =E= -0.49;
e41.. - x41 - x61 - x81 - x101 - x121 - x184 + x185 =E= -0.65;
e42.. x123*x163 - (x122*x162 + x126*x63 + x130*x83 + x134*x103 - (x122*x43 +
x122*x47 + x122*x51 + x122*x55 + x122*x59)) - 0.7*x3 =E= 0;
e43.. x124*x164 - (x123*x163 + x127*x64 + x131*x84 + x135*x104 - (x123*x44 +
x123*x48 + x123*x52 + x123*x56 + x123*x60)) - 0.7*x4 =E= 0;
e44.. x125*x165 - (x124*x164 + x128*x65 + x132*x85 + x136*x105 - (x124*x45 +
x124*x49 + x124*x53 + x124*x57 + x124*x61)) - 0.7*x5 =E= 0;
e45.. x127*x167 - (x126*x166 + x122*x43 + x130*x87 + x134*x107 - (x126*x63 +
x126*x67 + x126*x71 + x126*x75 + x126*x79)) - 0.7*x7 - 0.9*x23 =E= 0;
e46.. x128*x168 - (x127*x167 + x123*x44 + x131*x88 + x135*x108 - (x127*x64 +
x127*x68 + x127*x72 + x127*x76 + x127*x80)) - 0.7*x8 - 0.9*x24 =E= 0;
e47.. x129*x169 - (x128*x168 + x124*x45 + x132*x89 + x136*x109 - (x128*x65 +
x128*x69 + x128*x73 + x128*x77 + x128*x81)) - 0.7*x9 - 0.9*x25 =E= 0;
e48.. x131*x171 - (x130*x170 + x122*x47 + x126*x67 + x134*x111 - (x130*x83 +
x130*x87 + x130*x91 + x130*x95 + x130*x99)) - 0.7*x11 - 0.9*x27 =E= 0;
e49.. x132*x172 - (x131*x171 + x123*x48 + x127*x68 + x135*x112 - (x131*x84 +
x131*x88 + x131*x92 + x131*x96 + x131*x100)) - 0.7*x12 - 0.9*x28 =E= 0;
e50.. x133*x173 - (x132*x172 + x124*x49 + x128*x69 + x136*x113 - (x132*x85 +
x132*x89 + x132*x93 + x132*x97 + x132*x101)) - 0.7*x13 - 0.9*x29 =E= 0;
e51.. x135*x175 - (x134*x174 + x122*x51 + x126*x71 + x130*x91 - (x134*x103 +
x134*x107 + x134*x111 + x134*x115 + x134*x119)) - 0.7*x15 - 0.9*x31 =E= 0
;
e52.. x136*x176 - (x135*x175 + x123*x52 + x127*x72 + x131*x92 - (x135*x104 +
x135*x108 + x135*x112 + x135*x116 + x135*x120)) - 0.7*x16 - 0.9*x32 =E= 0
;
e53.. x137*x177 - (x136*x176 + x124*x53 + x128*x73 + x132*x93 - (x136*x105 +
x136*x109 + x136*x113 + x136*x117 + x136*x121)) - 0.7*x17 - 0.9*x33 =E= 0
;
e54.. x139*x163 - (x138*x162 + x142*x63 + x146*x83 + x150*x103 - (x138*x43 +
x138*x47 + x138*x51 + x138*x55 + x138*x59)) - 0.2*x3 =E= 0;
e55.. x140*x164 - (x139*x163 + x143*x64 + x147*x84 + x151*x104 - (x139*x44 +
x139*x48 + x139*x52 + x139*x56 + x139*x60)) - 0.2*x4 =E= 0;
e56.. x141*x165 - (x140*x164 + x144*x65 + x148*x85 + x152*x105 - (x140*x45 +
x140*x49 + x140*x53 + x140*x57 + x140*x61)) - 0.2*x5 =E= 0;
e57.. x143*x167 - (x142*x166 + x138*x43 + x146*x87 + x150*x107 - (x142*x63 +
x142*x67 + x142*x71 + x142*x75 + x142*x79)) - 0.2*x7 - 0.8*x23 =E= 0;
e58.. x144*x168 - (x143*x167 + x139*x44 + x147*x88 + x151*x108 - (x143*x64 +
x143*x68 + x143*x72 + x143*x76 + x143*x80)) - 0.2*x8 - 0.8*x24 =E= 0;
e59.. x145*x169 - (x144*x168 + x140*x45 + x148*x89 + x152*x109 - (x144*x65 +
x144*x69 + x144*x73 + x144*x77 + x144*x81)) - 0.2*x9 - 0.8*x25 =E= 0;
e60.. x147*x171 - (x146*x170 + x138*x47 + x142*x67 + x150*x111 - (x146*x83 +
x146*x87 + x146*x91 + x146*x95 + x146*x99)) - 0.2*x11 - 0.8*x27 =E= 0;
e61.. x148*x172 - (x147*x171 + x139*x48 + x143*x68 + x151*x112 - (x147*x84 +
x147*x88 + x147*x92 + x147*x96 + x147*x100)) - 0.2*x12 - 0.8*x28 =E= 0;
e62.. x149*x173 - (x148*x172 + x140*x49 + x144*x69 + x152*x113 - (x148*x85 +
x148*x89 + x148*x93 + x148*x97 + x148*x101)) - 0.2*x13 - 0.8*x29 =E= 0;
e63.. x151*x175 - (x150*x174 + x138*x51 + x142*x71 + x146*x91 - (x150*x103 +
x150*x107 + x150*x111 + x150*x115 + x150*x119)) - 0.2*x15 - 0.8*x31 =E= 0
;
e64.. x152*x176 - (x151*x175 + x139*x52 + x143*x72 + x147*x92 - (x151*x104 +
x151*x108 + x151*x112 + x151*x116 + x151*x120)) - 0.2*x16 - 0.8*x32 =E= 0
;
e65.. x153*x177 - (x152*x176 + x140*x53 + x144*x73 + x148*x93 - (x152*x105 +
x152*x109 + x152*x113 + x152*x117 + x152*x121)) - 0.2*x17 - 0.8*x33 =E= 0
;
e66.. x2 - b186 =L= 0;
e67.. x3 - b187 =L= 0;
e68.. x4 - b188 =L= 0;
e69.. x5 - b189 =L= 0;
e70.. x6 - b190 =L= 0;
e71.. x7 - b191 =L= 0;
e72.. x8 - b192 =L= 0;
e73.. x9 - b193 =L= 0;
e74.. x10 - b194 =L= 0;
e75.. x11 - b195 =L= 0;
e76.. x12 - b196 =L= 0;
e77.. x13 - b197 =L= 0;
e78.. x14 - b198 =L= 0;
e79.. x15 - b199 =L= 0;
e80.. x16 - b200 =L= 0;
e81.. x17 - b201 =L= 0;
e82.. x18 - b202 =L= 0;
e83.. x19 - b203 =L= 0;
e84.. x20 - b204 =L= 0;
e85.. x21 - b205 =L= 0;
e86.. x22 - b206 =L= 0;
e87.. x23 - b207 =L= 0;
e88.. x24 - b208 =L= 0;
e89.. x25 - b209 =L= 0;
e90.. x26 - b210 =L= 0;
e91.. x27 - b211 =L= 0;
e92.. x28 - b212 =L= 0;
e93.. x29 - b213 =L= 0;
e94.. x30 - b214 =L= 0;
e95.. x31 - b215 =L= 0;
e96.. x32 - b216 =L= 0;
e97.. x33 - b217 =L= 0;
e98.. x34 - b218 =L= 0;
e99.. x35 - b219 =L= 0;
e100.. x36 - b220 =L= 0;
e101.. x37 - b221 =L= 0;
e102.. x38 - b222 =L= 0;
e103.. x39 - b223 =L= 0;
e104.. x40 - b224 =L= 0;
e105.. x41 - b225 =L= 0;
e106.. x42 - b226 =L= 0;
e107.. x43 - b227 =L= 0;
e108.. x44 - b228 =L= 0;
e109.. x45 - b229 =L= 0;
e110.. x46 - b230 =L= 0;
e111.. x47 - b231 =L= 0;
e112.. x48 - b232 =L= 0;
e113.. x49 - b233 =L= 0;
e114.. x50 - b234 =L= 0;
e115.. x51 - b235 =L= 0;
e116.. x52 - b236 =L= 0;
e117.. x53 - b237 =L= 0;
e118.. x54 - b238 =L= 0;
e119.. x55 - b239 =L= 0;
e120.. x56 - b240 =L= 0;
e121.. x57 - b241 =L= 0;
e122.. x58 - b242 =L= 0;
e123.. x59 - b243 =L= 0;
e124.. x60 - b244 =L= 0;
e125.. x61 - b245 =L= 0;
e126.. x62 - b246 =L= 0;
e127.. x63 - b247 =L= 0;
e128.. x64 - b248 =L= 0;
e129.. x65 - b249 =L= 0;
e130.. x66 - b250 =L= 0;
e131.. x67 - b251 =L= 0;
e132.. x68 - b252 =L= 0;
e133.. x69 - b253 =L= 0;
e134.. x70 - b254 =L= 0;
e135.. x71 - b255 =L= 0;
e136.. x72 - b256 =L= 0;
e137.. x73 - b257 =L= 0;
e138.. x74 - b258 =L= 0;
e139.. x75 - b259 =L= 0;
e140.. x76 - b260 =L= 0;
e141.. x77 - b261 =L= 0;
e142.. x78 - b262 =L= 0;
e143.. x79 - b263 =L= 0;
e144.. x80 - b264 =L= 0;
e145.. x81 - b265 =L= 0;
e146.. x82 - b266 =L= 0;
e147.. x83 - b267 =L= 0;
e148.. x84 - b268 =L= 0;
e149.. x85 - b269 =L= 0;
e150.. x86 - b270 =L= 0;
e151.. x87 - b271 =L= 0;
e152.. x88 - b272 =L= 0;
e153.. x89 - b273 =L= 0;
e154.. x90 - b274 =L= 0;
e155.. x91 - b275 =L= 0;
e156.. x92 - b276 =L= 0;
e157.. x93 - b277 =L= 0;
e158.. x94 - b278 =L= 0;
e159.. x95 - b279 =L= 0;
e160.. x96 - b280 =L= 0;
e161.. x97 - b281 =L= 0;
e162.. x98 - b282 =L= 0;
e163.. x99 - b283 =L= 0;
e164.. x100 - b284 =L= 0;
e165.. x101 - b285 =L= 0;
e166.. x102 - b286 =L= 0;
e167.. x103 - b287 =L= 0;
e168.. x104 - b288 =L= 0;
e169.. x105 - b289 =L= 0;
e170.. x106 - b290 =L= 0;
e171.. x107 - b291 =L= 0;
e172.. x108 - b292 =L= 0;
e173.. x109 - b293 =L= 0;
e174.. x110 - b294 =L= 0;
e175.. x111 - b295 =L= 0;
e176.. x112 - b296 =L= 0;
e177.. x113 - b297 =L= 0;
e178.. x114 - b298 =L= 0;
e179.. x115 - b299 =L= 0;
e180.. x116 - b300 =L= 0;
e181.. x117 - b301 =L= 0;
e182.. x118 - b302 =L= 0;
e183.. x119 - b303 =L= 0;
e184.. x120 - b304 =L= 0;
e185.. x121 - b305 =L= 0;
e186.. x2 =G= 0;
e187.. x3 =G= 0;
e188.. x4 =G= 0;
e189.. x5 =G= 0;
e190.. x6 =G= 0;
e191.. x7 =G= 0;
e192.. x8 =G= 0;
e193.. x9 =G= 0;
e194.. x10 =G= 0;
e195.. x11 =G= 0;
e196.. x12 =G= 0;
e197.. x13 =G= 0;
e198.. x14 =G= 0;
e199.. x15 =G= 0;
e200.. x16 =G= 0;
e201.. x17 =G= 0;
e202.. x18 =G= 0;
e203.. x19 =G= 0;
e204.. x20 =G= 0;
e205.. x21 =G= 0;
e206.. x22 =G= 0;
e207.. x23 =G= 0;
e208.. x24 =G= 0;
e209.. x25 =G= 0;
e210.. x26 =G= 0;
e211.. x27 =G= 0;
e212.. x28 =G= 0;
e213.. x29 =G= 0;
e214.. x30 =G= 0;
e215.. x31 =G= 0;
e216.. x32 =G= 0;
e217.. x33 =G= 0;
e218.. x34 =G= 0;
e219.. x35 =G= 0;
e220.. x36 =G= 0;
e221.. x37 =G= 0;
e222.. x38 =G= 0;
e223.. x39 =G= 0;
e224.. x40 =G= 0;
e225.. x41 =G= 0;
e226.. x42 =G= 0;
e227.. x43 =G= 0;
e228.. x44 =G= 0;
e229.. x45 =G= 0;
e230.. x46 =G= 0;
e231.. x47 =G= 0;
e232.. x48 =G= 0;
e233.. x49 =G= 0;
e234.. x50 =G= 0;
e235.. x51 =G= 0;
e236.. x52 =G= 0;
e237.. x53 =G= 0;
e238.. x54 =G= 0;
e239.. x55 =G= 0;
e240.. x56 =G= 0;
e241.. x57 =G= 0;
e242.. x58 =G= 0;
e243.. x59 =G= 0;
e244.. x60 =G= 0;
e245.. x61 =G= 0;
e246.. x62 =G= 0;
e247.. x63 =G= 0;
e248.. x64 =G= 0;
e249.. x65 =G= 0;
e250.. x66 =G= 0;
e251.. x67 =G= 0;
e252.. x68 =G= 0;
e253.. x69 =G= 0;
e254.. x70 =G= 0;
e255.. x71 =G= 0;
e256.. x72 =G= 0;
e257.. x73 =G= 0;
e258.. x74 =G= 0;
e259.. x75 =G= 0;
e260.. x76 =G= 0;
e261.. x77 =G= 0;
e262.. x78 =G= 0;
e263.. x79 =G= 0;
e264.. x80 =G= 0;
e265.. x81 =G= 0;
e266.. x82 =G= 0;
e267.. x83 =G= 0;
e268.. x84 =G= 0;
e269.. x85 =G= 0;
e270.. x86 =G= 0;
e271.. x87 =G= 0;
e272.. x88 =G= 0;
e273.. x89 =G= 0;
e274.. x90 =G= 0;
e275.. x91 =G= 0;
e276.. x92 =G= 0;
e277.. x93 =G= 0;
e278.. x94 =G= 0;
e279.. x95 =G= 0;
e280.. x96 =G= 0;
e281.. x97 =G= 0;
e282.. x98 =G= 0;
e283.. x99 =G= 0;
e284.. x100 =G= 0;
e285.. x101 =G= 0;
e286.. x102 =G= 0;
e287.. x103 =G= 0;
e288.. x104 =G= 0;
e289.. x105 =G= 0;
e290.. x106 =G= 0;
e291.. x107 =G= 0;
e292.. x108 =G= 0;
e293.. x109 =G= 0;
e294.. x110 =G= 0;
e295.. x111 =G= 0;
e296.. x112 =G= 0;
e297.. x113 =G= 0;
e298.. x114 =G= 0;
e299.. x115 =G= 0;
e300.. x116 =G= 0;
e301.. x117 =G= 0;
e302.. x118 =G= 0;
e303.. x119 =G= 0;
e304.. x120 =G= 0;
e305.. x121 =G= 0;
e306.. b202 =L= 1.1;
e307.. b203 =L= 1.1;
e308.. b204 =L= 1.1;
e309.. b205 =L= 1.1;
e310.. b218 =L= 1.3;
e311.. b219 =L= 1.3;
e312.. b220 =L= 1.3;
e313.. b221 =L= 1.3;
e314.. b222 =L= 1.1;
e315.. b223 =L= 1.1;
e316.. b224 =L= 1.1;
e317.. b225 =L= 1.1;
e318.. b202 =L= 0.7;
e319.. b203 =L= 0.7;
e320.. b204 =L= 0.7;
e321.. b205 =L= 0.7;
e322.. b218 =L= 1.3;
e323.. b219 =L= 1.3;
e324.. b220 =L= 1.3;
e325.. b221 =L= 1.3;
e326.. b222 =L= 1.7;
e327.. b223 =L= 1.7;
e328.. b224 =L= 1.7;
e329.. b225 =L= 1.7;
e330.. - b202 =G= -1.3;
e331.. - b203 =G= -1.3;
e332.. - b204 =G= -1.3;
e333.. - b205 =G= -1.3;
e334.. - b218 =G= -1.1;
e335.. - b219 =G= -1.1;
e336.. - b220 =G= -1.1;
e337.. - b221 =G= -1.1;
e338.. - b222 =G= -1.1;
e339.. - b223 =G= -1.1;
e340.. - b224 =G= -1.1;
e341.. - b225 =G= -1.1;
e342.. - b202 =G= -1.7;
e343.. - b203 =G= -1.7;
e344.. - b204 =G= -1.7;
e345.. - b205 =G= -1.7;
e346.. - b218 =G= -1.1;
e347.. - b219 =G= -1.1;
e348.. - b220 =G= -1.1;
e349.. - b221 =G= -1.1;
e350.. - b222 =G= -1.2;
e351.. - b223 =G= -1.2;
e352.. - b224 =G= -1.2;
e353.. - b225 =G= -1.2;
e354.. - x122 + b239 =L= 0.4;
e355.. - x123 + b240 =L= 0.4;
e356.. - x124 + b241 =L= 0.4;
e357.. - x122 + b243 =L= 0.2;
e358.. - x123 + b244 =L= 0.2;
e359.. - x124 + b245 =L= 0.2;
e360.. - x126 + b259 =L= 0.4;
e361.. - x127 + b260 =L= 0.4;
e362.. - x128 + b261 =L= 0.4;
e363.. - x126 + b263 =L= 0.2;
e364.. - x127 + b264 =L= 0.2;
e365.. - x128 + b265 =L= 0.2;
e366.. - x130 + b279 =L= 0.4;
e367.. - x131 + b280 =L= 0.4;
e368.. - x132 + b281 =L= 0.4;
e369.. - x130 + b283 =L= 0.2;
e370.. - x131 + b284 =L= 0.2;
e371.. - x132 + b285 =L= 0.2;
e372.. - x134 + b299 =L= 0.4;
e373.. - x135 + b300 =L= 0.4;
e374.. - x136 + b301 =L= 0.4;
e375.. - x134 + b303 =L= 0.2;
e376.. - x135 + b304 =L= 0.2;
e377.. - x136 + b305 =L= 0.2;
e378.. - x138 + b239 =L= 0.5;
e379.. - x139 + b240 =L= 0.5;
e380.. - x140 + b241 =L= 0.5;
e381.. - x138 + b243 =L= 0.9;
e382.. - x139 + b244 =L= 0.9;
e383.. - x140 + b245 =L= 0.9;
e384.. - x142 + b259 =L= 0.5;
e385.. - x143 + b260 =L= 0.5;
e386.. - x144 + b261 =L= 0.5;
e387.. - x142 + b263 =L= 0.9;
e388.. - x143 + b264 =L= 0.9;
e389.. - x144 + b265 =L= 0.9;
e390.. - x146 + b279 =L= 0.5;
e391.. - x147 + b280 =L= 0.5;
e392.. - x148 + b281 =L= 0.5;
e393.. - x146 + b283 =L= 0.9;
e394.. - x147 + b284 =L= 0.9;
e395.. - x148 + b285 =L= 0.9;
e396.. - x150 + b299 =L= 0.5;
e397.. - x151 + b300 =L= 0.5;
e398.. - x152 + b301 =L= 0.5;
e399.. - x150 + b303 =L= 0.9;
e400.. - x151 + b304 =L= 0.9;
e401.. - x152 + b305 =L= 0.9;
e402.. - x122 - b239 =G= -2;
e403.. - x123 - b240 =G= -2;
e404.. - x124 - b241 =G= -2;
e405.. - x122 - b243 =G= -2;
e406.. - x123 - b244 =G= -2;
e407.. - x124 - b245 =G= -2;
e408.. - x126 - b259 =G= -2;
e409.. - x127 - b260 =G= -2;
e410.. - x128 - b261 =G= -2;
e411.. - x126 - b263 =G= -2;
e412.. - x127 - b264 =G= -2;
e413.. - x128 - b265 =G= -2;
e414.. - x130 - b279 =G= -2;
e415.. - x131 - b280 =G= -2;
e416.. - x132 - b281 =G= -2;
e417.. - x130 - b283 =G= -2;
e418.. - x131 - b284 =G= -2;
e419.. - x132 - b285 =G= -2;
e420.. - x134 - b299 =G= -2;
e421.. - x135 - b300 =G= -2;
e422.. - x136 - b301 =G= -2;
e423.. - x134 - b303 =G= -2;
e424.. - x135 - b304 =G= -2;
e425.. - x136 - b305 =G= -2;
e426.. - x138 - b239 =G= -1.9;
e427.. - x139 - b240 =G= -1.9;
e428.. - x140 - b241 =G= -1.9;
e429.. - x138 - b243 =G= -2;
e430.. - x139 - b244 =G= -2;
e431.. - x140 - b245 =G= -2;
e432.. - x142 - b259 =G= -1.9;
e433.. - x143 - b260 =G= -1.9;
e434.. - x144 - b261 =G= -1.9;
e435.. - x142 - b263 =G= -2;
e436.. - x143 - b264 =G= -2;
e437.. - x144 - b265 =G= -2;
e438.. - x146 - b279 =G= -1.9;
e439.. - x147 - b280 =G= -1.9;
e440.. - x148 - b281 =G= -1.9;
e441.. - x146 - b283 =G= -2;
e442.. - x147 - b284 =G= -2;
e443.. - x148 - b285 =G= -2;
e444.. - x150 - b299 =G= -1.9;
e445.. - x151 - b300 =G= -1.9;
e446.. - x152 - b301 =G= -1.9;
e447.. - x150 - b303 =G= -2;
e448.. - x151 - b304 =G= -2;
e449.. - x152 - b305 =G= -2;
e450.. b238 =L= 1.1;
e451.. b242 =L= 0.9;
e452.. b258 =L= 1.2;
e453.. b262 =L= 1;
e454.. b278 =L= 1.1;
e455.. b282 =L= 0.9;
e456.. b298 =L= 1.1;
e457.. b302 =L= 0.9;
e458.. b238 =L= 0.5;
e459.. b242 =L= 0.9;
e460.. b258 =L= 1.4;
e461.. b262 =L= 1.8;
e462.. b278 =L= 1.3;
e463.. b282 =L= 1.7;
e464.. b298 =L= 0.9;
e465.. b302 =L= 1.3;
e466.. - b238 =G= -1.3;
e467.. - b242 =G= -1.3;
e468.. - b258 =G= -1.2;
e469.. - b262 =G= -1.2;
e470.. - b278 =G= -1.3;
e471.. - b282 =G= -1.3;
e472.. - b298 =G= -1.3;
e473.. - b302 =G= -1.3;
e474.. - b238 =G= -1.9;
e475.. - b242 =G= -2;
e476.. - b258 =G= -1;
e477.. - b262 =G= -1.1;
e478.. - b278 =G= -1.1;
e479.. - b282 =G= -1.2;
e480.. - b298 =G= -1.5;
e481.. - b302 =G= -1.6;
e482.. b186 + b226 =L= 1;
e483.. b187 + b227 =L= 1;
e484.. b188 + b228 =L= 1;
e485.. b189 + b229 =L= 1;
e486.. b186 + b230 =L= 1;
e487.. b187 + b231 =L= 1;
e488.. b188 + b232 =L= 1;
e489.. b189 + b233 =L= 1;
e490.. b186 + b234 =L= 1;
e491.. b187 + b235 =L= 1;
e492.. b188 + b236 =L= 1;
e493.. b189 + b237 =L= 1;
e494.. b186 + b238 =L= 1;
e495.. b187 + b239 =L= 1;
e496.. b188 + b240 =L= 1;
e497.. b189 + b241 =L= 1;
e498.. b186 + b242 =L= 1;
e499.. b187 + b243 =L= 1;
e500.. b188 + b244 =L= 1;
e501.. b189 + b245 =L= 1;
e502.. b226 + b246 =L= 1;
e503.. b227 + b247 =L= 1;
e504.. b228 + b248 =L= 1;
e505.. b229 + b249 =L= 1;
e506.. b230 + b246 =L= 1;
e507.. b231 + b247 =L= 1;
e508.. b232 + b248 =L= 1;
e509.. b233 + b249 =L= 1;
e510.. b234 + b246 =L= 1;
e511.. b235 + b247 =L= 1;
e512.. b236 + b248 =L= 1;
e513.. b237 + b249 =L= 1;
e514.. b238 + b246 =L= 1;
e515.. b239 + b247 =L= 1;
e516.. b240 + b248 =L= 1;
e517.. b241 + b249 =L= 1;
e518.. b242 + b246 =L= 1;
e519.. b243 + b247 =L= 1;
e520.. b244 + b248 =L= 1;
e521.. b245 + b249 =L= 1;
e522.. b226 + b266 =L= 1;
e523.. b227 + b267 =L= 1;
e524.. b228 + b268 =L= 1;
e525.. b229 + b269 =L= 1;
e526.. b230 + b266 =L= 1;
e527.. b231 + b267 =L= 1;
e528.. b232 + b268 =L= 1;
e529.. b233 + b269 =L= 1;
e530.. b234 + b266 =L= 1;
e531.. b235 + b267 =L= 1;
e532.. b236 + b268 =L= 1;
e533.. b237 + b269 =L= 1;
e534.. b238 + b266 =L= 1;
e535.. b239 + b267 =L= 1;
e536.. b240 + b268 =L= 1;
e537.. b241 + b269 =L= 1;
e538.. b242 + b266 =L= 1;
e539.. b243 + b267 =L= 1;
e540.. b244 + b268 =L= 1;
e541.. b245 + b269 =L= 1;
e542.. b226 + b286 =L= 1;
e543.. b227 + b287 =L= 1;
e544.. b228 + b288 =L= 1;
e545.. b229 + b289 =L= 1;
e546.. b230 + b286 =L= 1;
e547.. b231 + b287 =L= 1;
e548.. b232 + b288 =L= 1;
e549.. b233 + b289 =L= 1;
e550.. b234 + b286 =L= 1;
e551.. b235 + b287 =L= 1;
e552.. b236 + b288 =L= 1;
e553.. b237 + b289 =L= 1;
e554.. b238 + b286 =L= 1;
e555.. b239 + b287 =L= 1;
e556.. b240 + b288 =L= 1;
e557.. b241 + b289 =L= 1;
e558.. b242 + b286 =L= 1;
e559.. b243 + b287 =L= 1;
e560.. b244 + b288 =L= 1;
e561.. b245 + b289 =L= 1;
e562.. b190 + b246 =L= 1;
e563.. b191 + b247 =L= 1;
e564.. b192 + b248 =L= 1;
e565.. b193 + b249 =L= 1;
e566.. b190 + b250 =L= 1;
e567.. b191 + b251 =L= 1;
e568.. b192 + b252 =L= 1;
e569.. b193 + b253 =L= 1;
e570.. b190 + b254 =L= 1;
e571.. b191 + b255 =L= 1;
e572.. b192 + b256 =L= 1;
e573.. b193 + b257 =L= 1;
e574.. b190 + b258 =L= 1;
e575.. b191 + b259 =L= 1;
e576.. b192 + b260 =L= 1;
e577.. b193 + b261 =L= 1;
e578.. b190 + b262 =L= 1;
e579.. b191 + b263 =L= 1;
e580.. b192 + b264 =L= 1;
e581.. b193 + b265 =L= 1;
e582.. b206 + b246 =L= 1;
e583.. b207 + b247 =L= 1;
e584.. b208 + b248 =L= 1;
e585.. b209 + b249 =L= 1;
e586.. b206 + b250 =L= 1;
e587.. b207 + b251 =L= 1;
e588.. b208 + b252 =L= 1;
e589.. b209 + b253 =L= 1;
e590.. b206 + b254 =L= 1;
e591.. b207 + b255 =L= 1;
e592.. b208 + b256 =L= 1;
e593.. b209 + b257 =L= 1;
e594.. b206 + b258 =L= 1;
e595.. b207 + b259 =L= 1;
e596.. b208 + b260 =L= 1;
e597.. b209 + b261 =L= 1;
e598.. b206 + b262 =L= 1;
e599.. b207 + b263 =L= 1;
e600.. b208 + b264 =L= 1;
e601.. b209 + b265 =L= 1;
e602.. b226 + b246 =L= 1;
e603.. b227 + b247 =L= 1;
e604.. b228 + b248 =L= 1;
e605.. b229 + b249 =L= 1;
e606.. b226 + b250 =L= 1;
e607.. b227 + b251 =L= 1;
e608.. b228 + b252 =L= 1;
e609.. b229 + b253 =L= 1;
e610.. b226 + b254 =L= 1;
e611.. b227 + b255 =L= 1;
e612.. b228 + b256 =L= 1;
e613.. b229 + b257 =L= 1;
e614.. b226 + b258 =L= 1;
e615.. b227 + b259 =L= 1;
e616.. b228 + b260 =L= 1;
e617.. b229 + b261 =L= 1;
e618.. b226 + b262 =L= 1;
e619.. b227 + b263 =L= 1;
e620.. b228 + b264 =L= 1;
e621.. b229 + b265 =L= 1;
e622.. b246 + b270 =L= 1;
e623.. b247 + b271 =L= 1;
e624.. b248 + b272 =L= 1;
e625.. b249 + b273 =L= 1;
e626.. b250 + b270 =L= 1;
e627.. b251 + b271 =L= 1;
e628.. b252 + b272 =L= 1;
e629.. b253 + b273 =L= 1;
e630.. b254 + b270 =L= 1;
e631.. b255 + b271 =L= 1;
e632.. b256 + b272 =L= 1;
e633.. b257 + b273 =L= 1;
e634.. b258 + b270 =L= 1;
e635.. b259 + b271 =L= 1;
e636.. b260 + b272 =L= 1;
e637.. b261 + b273 =L= 1;
e638.. b262 + b270 =L= 1;
e639.. b263 + b271 =L= 1;
e640.. b264 + b272 =L= 1;
e641.. b265 + b273 =L= 1;
e642.. b246 + b290 =L= 1;
e643.. b247 + b291 =L= 1;
e644.. b248 + b292 =L= 1;
e645.. b249 + b293 =L= 1;
e646.. b250 + b290 =L= 1;
e647.. b251 + b291 =L= 1;
e648.. b252 + b292 =L= 1;
e649.. b253 + b293 =L= 1;
e650.. b254 + b290 =L= 1;
e651.. b255 + b291 =L= 1;
e652.. b256 + b292 =L= 1;
e653.. b257 + b293 =L= 1;
e654.. b258 + b290 =L= 1;
e655.. b259 + b291 =L= 1;
e656.. b260 + b292 =L= 1;
e657.. b261 + b293 =L= 1;
e658.. b262 + b290 =L= 1;
e659.. b263 + b291 =L= 1;
e660.. b264 + b292 =L= 1;
e661.. b265 + b293 =L= 1;
e662.. b194 + b266 =L= 1;
e663.. b195 + b267 =L= 1;
e664.. b196 + b268 =L= 1;
e665.. b197 + b269 =L= 1;
e666.. b194 + b270 =L= 1;
e667.. b195 + b271 =L= 1;
e668.. b196 + b272 =L= 1;
e669.. b197 + b273 =L= 1;
e670.. b194 + b274 =L= 1;
e671.. b195 + b275 =L= 1;
e672.. b196 + b276 =L= 1;
e673.. b197 + b277 =L= 1;
e674.. b194 + b278 =L= 1;
e675.. b195 + b279 =L= 1;
e676.. b196 + b280 =L= 1;
e677.. b197 + b281 =L= 1;
e678.. b194 + b282 =L= 1;
e679.. b195 + b283 =L= 1;
e680.. b196 + b284 =L= 1;
e681.. b197 + b285 =L= 1;
e682.. b210 + b266 =L= 1;
e683.. b211 + b267 =L= 1;
e684.. b212 + b268 =L= 1;
e685.. b213 + b269 =L= 1;
e686.. b210 + b270 =L= 1;
e687.. b211 + b271 =L= 1;
e688.. b212 + b272 =L= 1;
e689.. b213 + b273 =L= 1;
e690.. b210 + b274 =L= 1;
e691.. b211 + b275 =L= 1;
e692.. b212 + b276 =L= 1;
e693.. b213 + b277 =L= 1;
e694.. b210 + b278 =L= 1;
e695.. b211 + b279 =L= 1;
e696.. b212 + b280 =L= 1;
e697.. b213 + b281 =L= 1;
e698.. b210 + b282 =L= 1;
e699.. b211 + b283 =L= 1;
e700.. b212 + b284 =L= 1;
e701.. b213 + b285 =L= 1;
e702.. b230 + b266 =L= 1;
e703.. b231 + b267 =L= 1;
e704.. b232 + b268 =L= 1;
e705.. b233 + b269 =L= 1;
e706.. b230 + b270 =L= 1;
e707.. b231 + b271 =L= 1;
e708.. b232 + b272 =L= 1;
e709.. b233 + b273 =L= 1;
e710.. b230 + b274 =L= 1;
e711.. b231 + b275 =L= 1;
e712.. b232 + b276 =L= 1;
e713.. b233 + b277 =L= 1;
e714.. b230 + b278 =L= 1;
e715.. b231 + b279 =L= 1;
e716.. b232 + b280 =L= 1;
e717.. b233 + b281 =L= 1;
e718.. b230 + b282 =L= 1;
e719.. b231 + b283 =L= 1;
e720.. b232 + b284 =L= 1;
e721.. b233 + b285 =L= 1;
e722.. b250 + b266 =L= 1;
e723.. b251 + b267 =L= 1;
e724.. b252 + b268 =L= 1;
e725.. b253 + b269 =L= 1;
e726.. b250 + b270 =L= 1;
e727.. b251 + b271 =L= 1;
e728.. b252 + b272 =L= 1;
e729.. b253 + b273 =L= 1;
e730.. b250 + b274 =L= 1;
e731.. b251 + b275 =L= 1;
e732.. b252 + b276 =L= 1;
e733.. b253 + b277 =L= 1;
e734.. b250 + b278 =L= 1;
e735.. b251 + b279 =L= 1;
e736.. b252 + b280 =L= 1;
e737.. b253 + b281 =L= 1;
e738.. b250 + b282 =L= 1;
e739.. b251 + b283 =L= 1;
e740.. b252 + b284 =L= 1;
e741.. b253 + b285 =L= 1;
e742.. b266 + b294 =L= 1;
e743.. b267 + b295 =L= 1;
e744.. b268 + b296 =L= 1;
e745.. b269 + b297 =L= 1;
e746.. b270 + b294 =L= 1;
e747.. b271 + b295 =L= 1;
e748.. b272 + b296 =L= 1;
e749.. b273 + b297 =L= 1;
e750.. b274 + b294 =L= 1;
e751.. b275 + b295 =L= 1;
e752.. b276 + b296 =L= 1;
e753.. b277 + b297 =L= 1;
e754.. b278 + b294 =L= 1;
e755.. b279 + b295 =L= 1;
e756.. b280 + b296 =L= 1;
e757.. b281 + b297 =L= 1;
e758.. b282 + b294 =L= 1;
e759.. b283 + b295 =L= 1;
e760.. b284 + b296 =L= 1;
e761.. b285 + b297 =L= 1;
e762.. b198 + b286 =L= 1;
e763.. b199 + b287 =L= 1;
e764.. b200 + b288 =L= 1;
e765.. b201 + b289 =L= 1;
e766.. b198 + b290 =L= 1;
e767.. b199 + b291 =L= 1;
e768.. b200 + b292 =L= 1;
e769.. b201 + b293 =L= 1;
e770.. b198 + b294 =L= 1;
e771.. b199 + b295 =L= 1;
e772.. b200 + b296 =L= 1;
e773.. b201 + b297 =L= 1;
e774.. b198 + b298 =L= 1;
e775.. b199 + b299 =L= 1;
e776.. b200 + b300 =L= 1;
e777.. b201 + b301 =L= 1;
e778.. b198 + b302 =L= 1;
e779.. b199 + b303 =L= 1;
e780.. b200 + b304 =L= 1;
e781.. b201 + b305 =L= 1;
e782.. b214 + b286 =L= 1;
e783.. b215 + b287 =L= 1;
e784.. b216 + b288 =L= 1;
e785.. b217 + b289 =L= 1;
e786.. b214 + b290 =L= 1;
e787.. b215 + b291 =L= 1;
e788.. b216 + b292 =L= 1;
e789.. b217 + b293 =L= 1;
e790.. b214 + b294 =L= 1;
e791.. b215 + b295 =L= 1;
e792.. b216 + b296 =L= 1;
e793.. b217 + b297 =L= 1;
e794.. b214 + b298 =L= 1;
e795.. b215 + b299 =L= 1;
e796.. b216 + b300 =L= 1;
e797.. b217 + b301 =L= 1;
e798.. b214 + b302 =L= 1;
e799.. b215 + b303 =L= 1;
e800.. b216 + b304 =L= 1;
e801.. b217 + b305 =L= 1;
e802.. b234 + b286 =L= 1;
e803.. b235 + b287 =L= 1;
e804.. b236 + b288 =L= 1;
e805.. b237 + b289 =L= 1;
e806.. b234 + b290 =L= 1;
e807.. b235 + b291 =L= 1;
e808.. b236 + b292 =L= 1;
e809.. b237 + b293 =L= 1;
e810.. b234 + b294 =L= 1;
e811.. b235 + b295 =L= 1;
e812.. b236 + b296 =L= 1;
e813.. b237 + b297 =L= 1;
e814.. b234 + b298 =L= 1;
e815.. b235 + b299 =L= 1;
e816.. b236 + b300 =L= 1;
e817.. b237 + b301 =L= 1;
e818.. b234 + b302 =L= 1;
e819.. b235 + b303 =L= 1;
e820.. b236 + b304 =L= 1;
e821.. b237 + b305 =L= 1;
e822.. b254 + b286 =L= 1;
e823.. b255 + b287 =L= 1;
e824.. b256 + b288 =L= 1;
e825.. b257 + b289 =L= 1;
e826.. b254 + b290 =L= 1;
e827.. b255 + b291 =L= 1;
e828.. b256 + b292 =L= 1;
e829.. b257 + b293 =L= 1;
e830.. b254 + b294 =L= 1;
e831.. b255 + b295 =L= 1;
e832.. b256 + b296 =L= 1;
e833.. b257 + b297 =L= 1;
e834.. b254 + b298 =L= 1;
e835.. b255 + b299 =L= 1;
e836.. b256 + b300 =L= 1;
e837.. b257 + b301 =L= 1;
e838.. b254 + b302 =L= 1;
e839.. b255 + b303 =L= 1;
e840.. b256 + b304 =L= 1;
e841.. b257 + b305 =L= 1;
e842.. b274 + b286 =L= 1;
e843.. b275 + b287 =L= 1;
e844.. b276 + b288 =L= 1;
e845.. b277 + b289 =L= 1;
e846.. b274 + b290 =L= 1;
e847.. b275 + b291 =L= 1;
e848.. b276 + b292 =L= 1;
e849.. b277 + b293 =L= 1;
e850.. b274 + b294 =L= 1;
e851.. b275 + b295 =L= 1;
e852.. b276 + b296 =L= 1;
e853.. b277 + b297 =L= 1;
e854.. b274 + b298 =L= 1;
e855.. b275 + b299 =L= 1;
e856.. b276 + b300 =L= 1;
e857.. b277 + b301 =L= 1;
e858.. b274 + b302 =L= 1;
e859.. b275 + b303 =L= 1;
e860.. b276 + b304 =L= 1;
e861.. b277 + b305 =L= 1;
* 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.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 1;
x91.up = 1;
x92.up = 1;
x93.up = 1;
x94.up = 1;
x95.up = 1;
x96.up = 1;
x97.up = 1;
x98.up = 1;
x99.up = 1;
x100.up = 1;
x101.up = 1;
x102.up = 1;
x103.up = 1;
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 1;
x114.up = 1;
x115.up = 1;
x116.up = 1;
x117.up = 1;
x118.up = 1;
x119.up = 1;
x120.up = 1;
x121.up = 1;
x122.up = 1;
x123.up = 1;
x124.up = 1;
x125.up = 1;
x126.up = 1;
x127.up = 1;
x128.up = 1;
x129.up = 1;
x130.up = 1;
x131.up = 1;
x132.up = 1;
x133.up = 1;
x134.up = 1;
x135.up = 1;
x136.up = 1;
x137.up = 1;
x138.up = 1;
x139.up = 1;
x140.up = 1;
x141.up = 1;
x142.up = 1;
x143.up = 1;
x144.up = 1;
x145.up = 1;
x146.up = 1;
x147.up = 1;
x148.up = 1;
x149.up = 1;
x150.up = 1;
x151.up = 1;
x152.up = 1;
x153.up = 1;
x154.up = 2;
x155.up = 2;
x156.up = 2;
x157.up = 2;
x158.up = 2;
x159.up = 2;
x160.up = 2;
x161.up = 2;
x162.up = 2;
x163.up = 2;
x164.up = 2;
x165.up = 2;
x166.up = 2;
x167.up = 2;
x168.up = 2;
x169.up = 2;
x170.up = 2;
x171.up = 2;
x172.up = 2;
x173.up = 2;
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;
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

