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)
53.96269993 p1 ( gdx sol )
(infeas: 4e-16)
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 of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        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;


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