MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance waterno2_03
| Formatsⓘ | ams gms mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 114.99301620 (ANTIGONE) 115.00176070 (BARON) 115.00093540 (COUENNE) 115.00446020 (LINDO) 115.00451670 (SCIP) 0.00000000 (SHOT) |
| Referencesⓘ | Huang, Wei, Operative Planning of Water Supply Networks by Mixed Integer Nonlinear Programming, Masters thesis, Freie Universität Berlin, 2011. Gleixner, Ambros M, Held, Harald, Huang, Wei, and Vigerske, Stefan, Towards globally optimal operation of water supply networks, Numerical Algebra, Control and Optimization, 2:4, 2012, 695-711. |
| Applicationⓘ | Water Network Operation |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 498 |
| #Binary Variablesⓘ | 27 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 126 |
| #Nonlinear Binary Variablesⓘ | 27 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 27 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 616 |
| #Linear Constraintsⓘ | 421 |
| #Quadratic Constraintsⓘ | 156 |
| #Polynomial Constraintsⓘ | 39 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1608 |
| #Nonlinear Nonzeros in Jacobianⓘ | 303 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 264 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 48 |
| #Blocks in Hessian of Lagrangianⓘ | 33 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 8 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.818182 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.5000e-01 |
| Maximal coefficientⓘ | 3.6000e+03 |
| Infeasibility of initial pointⓘ | 3200 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 617 367 103 147 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 499 472 27 0 0 0 0 0
* FX 6
*
* Nonzero counts
* Total const NL DLL
* 1636 1333 303 0
*
* Solve m using MINLP minimizing objvar;
Variables objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,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,x186,x187,x188,x189,x190,x191,x192,x193
,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
,x337,x338,x339,x340,x341,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,x422,x423,x424,x425,x426,x427
,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
,x493,x494,x495,x496,x497,x498,x499;
Positive Variables 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,x140,x142,x144,x146,x148,x150,x152,x154,x156,x158,x160
,x162,x164,x166,x168,x170,x172,x174,x176,x178,x180,x182,x184,x186
,x188,x190,x192,x203,x205,x207,x209,x210,x212,x213,x215,x216,x218
,x220,x222,x278,x283,x288,x293,x298,x303,x308,x313,x318,x323,x328
,x333,x338,x345,x348,x353,x358,x363,x368,x373,x378,x383,x388,x393
,x398,x403,x408,x413,x414,x415,x416,x417,x418,x419,x420,x421,x422
,x423,x424,x425,x426,x427,x428,x429,x430,x431,x432,x433,x434,x435
,x436,x437,x438,x439,x440,x441,x442,x443,x444,x445,x446,x447,x448
,x449,x450,x451,x452,x453,x454,x455,x456,x457,x458,x459,x460,x461
,x462,x463,x464,x465,x466,x467,x468,x469,x470,x471,x472,x473,x474
,x475;
Binary Variables b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28;
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;
e1.. objvar - x278 - x283 - x288 - x293 - x298 - x303 - x308 - x313 - x318
- x323 - x328 - x333 - x338 - x345 - x348 - x353 - x358 - x363 - x368
- x373 - x378 - x383 - x388 - x393 - x398 - x403 - x408 =E= 0;
e2.. x141 + 27.42831624*x143 + 37.5407324*x145 - 57.2814121*x147 =E= 0;
e3.. x149 + 27.42831624*x151 - 57.2814121*x153 + 37.5407324*x155 =E= 0;
e4.. x157 + 27.42831624*x159 - 57.2814121*x161 + 37.5407324*x163 =E= 0;
e5.. - 57.2814121*x147 + x165 + 27.42831624*x167 + 37.5407324*x169 =E= 0;
e6.. - 57.2814121*x153 + x171 + 37.5407324*x173 + 27.42831624*x175 =E= 0;
e7.. - 57.2814121*x161 + x177 + 37.5407324*x179 + 27.42831624*x181 =E= 0;
e8.. - 57.2814121*x147 + x183 + 37.5407324*x185 + 27.42831624*x187 =E= 0;
e9.. - 57.2814121*x153 + x189 + 27.42831624*x191 + 37.5407324*x193 =E= 0;
e10.. x29 + 27.42831624*x30 + 37.5407324*x31 - 57.2814121*x161 =E= 0;
e11.. x32 - 76.45219958*x33 + 43.14087708*x34 + 50.37356589*x35 =E= 0;
e12.. x36 + 50.37356589*x37 - 76.45219958*x38 + 43.14087708*x39 =E= 0;
e13.. x40 + 43.14087708*x41 + 50.37356589*x42 - 76.45219958*x43 =E= 0;
e14.. - 76.45219958*x33 + x44 + 43.14087708*x45 + 50.37356589*x46 =E= 0;
e15.. - 76.45219958*x38 + x47 + 50.37356589*x48 + 43.14087708*x49 =E= 0;
e16.. - 76.45219958*x43 + x50 + 43.14087708*x51 + 50.37356589*x52 =E= 0;
e17.. x53 + 58.31011875*x54 - 69.39622571*x55 - 25.39911174*x56 =E= 0;
e18.. x57 - 25.39911174*x58 + 58.31011875*x59 - 69.39622571*x60 =E= 0;
e19.. x61 - 69.39622571*x62 + 58.31011875*x63 - 25.39911174*x64 =E= 0;
e20.. - 69.39622571*x55 + x65 + 58.31011875*x66 - 25.39911174*x67 =E= 0;
e21.. - 69.39622571*x60 + x68 - 25.39911174*x69 + 58.31011875*x70 =E= 0;
e22.. - 69.39622571*x62 + x71 + 58.31011875*x72 - 25.39911174*x73 =E= 0;
e23.. x74 - 2.03724124*x75 + 63.61644904*x76 - 34.92732674*x77 =E= 0;
e24.. x78 - 2.03724124*x79 - 34.92732674*x80 + 63.61644904*x81 =E= 0;
e25.. x82 - 2.03724124*x83 - 34.92732674*x84 + 63.61644904*x85 =E= 0;
e26.. - 34.92732674*x77 + x86 + 63.61644904*x87 - 2.03724124*x88 =E= 0;
e27.. - 34.92732674*x80 + x89 + 63.61644904*x90 - 2.03724124*x91 =E= 0;
e28.. - 34.92732674*x84 + x92 - 2.03724124*x93 + 63.61644904*x94 =E= 0;
e29.. x95 + x96 + x97 =G= 0.875;
e30.. - x98 + x99 =E= 0;
e31.. - x100 + x101 =E= 0;
e32.. - x102 + x103 =E= 0;
e33.. - x104 + x105 =E= 0;
e34.. - x106 + x107 =E= 0;
e35.. - x108 + x109 =E= 0;
e36.. x104 - x110 =E= 0;
e37.. x106 - x111 =E= 0;
e38.. x108 - x112 =E= 0;
e39.. - x113 + x114 =E= 0;
e40.. - x115 + x116 =E= 0;
e41.. - x117 + x118 =E= 0;
e42.. x119 =E= 0.296666667;
e43.. x120 =E= 0.294444444;
e44.. x121 =E= 0.283888889;
e45.. x95 - x99 =E= 0;
e46.. x96 - x101 =E= 0;
e47.. x97 - x103 =E= 0;
e48.. 3600*x98 - 3600*x105 + 1800*x122 - 1800*x123 =E= 0;
e49.. 3600*x100 - 3600*x107 + 1800*x124 - 1800*x125 =E= 0;
e50.. 3600*x102 - 3600*x109 + 1800*x126 - 1800*x127 =E= 0;
e51.. 3600*x110 - 3600*x114 + 720*x128 - 720*x129 =E= 0;
e52.. 3600*x111 - 3600*x116 + 720*x130 - 720*x131 =E= 0;
e53.. 3600*x112 - 3600*x118 + 720*x132 - 720*x133 =E= 0;
e54.. 3600*x113 - 3600*x119 + 1600*x134 - 1600*x135 =E= 0;
e55.. 3600*x115 - 3600*x120 + 1600*x136 - 1600*x137 =E= 0;
e56.. 3600*x117 - 3600*x121 + 1600*x138 - 1600*x139 =E= 0;
e57.. - x123 + x124 =E= 0;
e58.. - x125 + x126 =E= 0;
e59.. - x129 + x130 =E= 0;
e60.. - x131 + x132 =E= 0;
e61.. - x135 + x136 =E= 0;
e62.. - x137 + x138 =E= 0;
e63.. - 0.2*b2 + x140 =G= 0;
e64.. - 0.2*b3 + x142 =G= 0;
e65.. - 0.2*b4 + x144 =G= 0;
e66.. - 0.2*b5 + x146 =G= 0;
e67.. - 0.2*b6 + x148 =G= 0;
e68.. - 0.2*b7 + x150 =G= 0;
e69.. - 0.2*b8 + x152 =G= 0;
e70.. - 0.2*b9 + x154 =G= 0;
e71.. - 0.2*b10 + x156 =G= 0;
e72.. - 0.25*b11 + x158 =G= 0;
e73.. - 0.25*b12 + x160 =G= 0;
e74.. - 0.25*b13 + x162 =G= 0;
e75.. - 0.25*b14 + x164 =G= 0;
e76.. - 0.25*b15 + x166 =G= 0;
e77.. - 0.25*b16 + x168 =G= 0;
e78.. - 0.4*b17 + x170 =G= 0;
e79.. - 0.4*b18 + x172 =G= 0;
e80.. - 0.4*b19 + x174 =G= 0;
e81.. - 0.4*b20 + x176 =G= 0;
e82.. - 0.4*b21 + x178 =G= 0;
e83.. - 0.4*b22 + x180 =G= 0;
e84.. - 0.24*b23 + x182 =G= 0;
e85.. - 0.24*b24 + x184 =G= 0;
e86.. - 0.24*b25 + x186 =G= 0;
e87.. - 0.24*b26 + x188 =G= 0;
e88.. - 0.24*b27 + x190 =G= 0;
e89.. - 0.24*b28 + x192 =G= 0;
e90.. - 0.8*b2 + x140 =L= 0;
e91.. - 0.8*b3 + x142 =L= 0;
e92.. - 0.8*b4 + x144 =L= 0;
e93.. - 0.8*b5 + x146 =L= 0;
e94.. - 0.8*b6 + x148 =L= 0;
e95.. - 0.8*b7 + x150 =L= 0;
e96.. - 0.8*b8 + x152 =L= 0;
e97.. - 0.8*b9 + x154 =L= 0;
e98.. - 0.8*b10 + x156 =L= 0;
e99.. - 0.5*b11 + x158 =L= 0;
e100.. - 0.5*b12 + x160 =L= 0;
e101.. - 0.5*b13 + x162 =L= 0;
e102.. - 0.5*b14 + x164 =L= 0;
e103.. - 0.5*b15 + x166 =L= 0;
e104.. - 0.5*b16 + x168 =L= 0;
e105.. - 0.7*b17 + x170 =L= 0;
e106.. - 0.7*b18 + x172 =L= 0;
e107.. - 0.7*b19 + x174 =L= 0;
e108.. - 0.7*b20 + x176 =L= 0;
e109.. - 0.7*b21 + x178 =L= 0;
e110.. - 0.7*b22 + x180 =L= 0;
e111.. - 0.58*b23 + x182 =L= 0;
e112.. - 0.58*b24 + x184 =L= 0;
e113.. - 0.58*b25 + x186 =L= 0;
e114.. - 0.58*b26 + x188 =L= 0;
e115.. - 0.58*b27 + x190 =L= 0;
e116.. - 0.58*b28 + x192 =L= 0;
e117.. - x122 + x194 =E= 60;
e118.. - x124 + x195 =E= 60;
e119.. - x126 + x196 =E= 60;
e120.. - x128 + x197 =E= 90;
e121.. - x130 + x198 =E= 90;
e122.. - x132 + x199 =E= 90;
e123.. - x134 + x200 =E= 103;
e124.. - x136 + x201 =E= 103;
e125.. - x138 + x202 =E= 103;
e126.. - x194 + x203 - x204 =E= 0;
e127.. - x195 + x205 - x206 =E= 0;
e128.. - x196 + x207 - x208 =E= 0;
e129.. x209 - x210 - x211 =E= 0;
e130.. x212 - x213 - x214 =E= 0;
e131.. x215 - x216 - x217 =E= 0;
e132.. - x200 + x218 - x219 =E= 0;
e133.. - x201 + x220 - x221 =E= 0;
e134.. - x202 + x222 - x223 =E= 0;
e135.. x203 - x224 - x225 =E= 0;
e136.. x205 - x226 - x227 =E= 0;
e137.. x207 - x228 - x229 =E= 0;
e138.. - x194 + x209 - x230 =E= 0;
e139.. - x195 + x212 - x231 =E= 0;
e140.. - x196 + x215 - x232 =E= 0;
e141.. - x197 + x218 - x233 =E= 0;
e142.. - x198 + x220 - x234 =E= 0;
e143.. - x199 + x222 - x235 =E= 0;
e144.. 0.2*b2 - x140 + x236 =L= 0.2;
e145.. 0.2*b3 - x142 + x237 =L= 0.2;
e146.. 0.2*b4 - x144 + x238 =L= 0.2;
e147.. 0.2*b5 - x146 + x239 =L= 0.2;
e148.. 0.2*b6 - x148 + x240 =L= 0.2;
e149.. 0.2*b7 - x150 + x241 =L= 0.2;
e150.. 0.2*b8 - x152 + x242 =L= 0.2;
e151.. 0.2*b9 - x154 + x243 =L= 0.2;
e152.. 0.2*b10 - x156 + x244 =L= 0.2;
e153.. 0.25*b11 - x158 + x245 =L= 0.25;
e154.. 0.25*b12 - x160 + x246 =L= 0.25;
e155.. 0.25*b13 - x162 + x247 =L= 0.25;
e156.. 0.25*b14 - x164 + x248 =L= 0.25;
e157.. 0.25*b15 - x166 + x249 =L= 0.25;
e158.. 0.25*b16 - x168 + x250 =L= 0.25;
e159.. 0.4*b17 - x170 + x251 =L= 0.4;
e160.. 0.4*b18 - x172 + x252 =L= 0.4;
e161.. 0.4*b19 - x174 + x253 =L= 0.4;
e162.. 0.4*b20 - x176 + x254 =L= 0.4;
e163.. 0.4*b21 - x178 + x255 =L= 0.4;
e164.. 0.4*b22 - x180 + x256 =L= 0.4;
e165.. 0.24*b23 - x182 + x257 =L= 0.24;
e166.. 0.24*b24 - x184 + x258 =L= 0.24;
e167.. 0.24*b25 - x186 + x259 =L= 0.24;
e168.. 0.24*b26 - x188 + x260 =L= 0.24;
e169.. 0.24*b27 - x190 + x261 =L= 0.24;
e170.. 0.24*b28 - x192 + x262 =L= 0.24;
e171.. - x140 + x236 =G= 0;
e172.. - x142 + x237 =G= 0;
e173.. - x144 + x238 =G= 0;
e174.. - x146 + x239 =G= 0;
e175.. - x148 + x240 =G= 0;
e176.. - x150 + x241 =G= 0;
e177.. - x152 + x242 =G= 0;
e178.. - x154 + x243 =G= 0;
e179.. - x156 + x244 =G= 0;
e180.. - x158 + x245 =G= 0;
e181.. - x160 + x246 =G= 0;
e182.. - x162 + x247 =G= 0;
e183.. - x164 + x248 =G= 0;
e184.. - x166 + x249 =G= 0;
e185.. - x168 + x250 =G= 0;
e186.. - x170 + x251 =G= 0;
e187.. - x172 + x252 =G= 0;
e188.. - x174 + x253 =G= 0;
e189.. - x176 + x254 =G= 0;
e190.. - x178 + x255 =G= 0;
e191.. - x180 + x256 =G= 0;
e192.. - x182 + x257 =G= 0;
e193.. - x184 + x258 =G= 0;
e194.. - x186 + x259 =G= 0;
e195.. - x188 + x260 =G= 0;
e196.. - x190 + x261 =G= 0;
e197.. - x192 + x262 =G= 0;
e198.. - 0.6*b2 + x236 =L= 0.2;
e199.. - 0.6*b3 + x237 =L= 0.2;
e200.. - 0.6*b4 + x238 =L= 0.2;
e201.. - 0.6*b5 + x239 =L= 0.2;
e202.. - 0.6*b6 + x240 =L= 0.2;
e203.. - 0.6*b7 + x241 =L= 0.2;
e204.. - 0.6*b8 + x242 =L= 0.2;
e205.. - 0.6*b9 + x243 =L= 0.2;
e206.. - 0.6*b10 + x244 =L= 0.2;
e207.. - 0.25*b11 + x245 =L= 0.25;
e208.. - 0.25*b12 + x246 =L= 0.25;
e209.. - 0.25*b13 + x247 =L= 0.25;
e210.. - 0.25*b14 + x248 =L= 0.25;
e211.. - 0.25*b15 + x249 =L= 0.25;
e212.. - 0.25*b16 + x250 =L= 0.25;
e213.. - 0.3*b17 + x251 =L= 0.4;
e214.. - 0.3*b18 + x252 =L= 0.4;
e215.. - 0.3*b19 + x253 =L= 0.4;
e216.. - 0.3*b20 + x254 =L= 0.4;
e217.. - 0.3*b21 + x255 =L= 0.4;
e218.. - 0.3*b22 + x256 =L= 0.4;
e219.. - 0.34*b23 + x257 =L= 0.24;
e220.. - 0.34*b24 + x258 =L= 0.24;
e221.. - 0.34*b25 + x259 =L= 0.24;
e222.. - 0.34*b26 + x260 =L= 0.24;
e223.. - 0.34*b27 + x261 =L= 0.24;
e224.. - 0.34*b28 + x262 =L= 0.24;
e225.. - 0.4*b2 + x263 =L= 0.6;
e226.. - 0.4*b3 + x264 =L= 0.6;
e227.. - 0.4*b4 + x265 =L= 0.6;
e228.. - 0.2*b11 + x266 =L= 0.8;
e229.. - 0.2*b12 + x267 =L= 0.8;
e230.. - 0.2*b13 + x268 =L= 0.8;
e231.. - 0.15*b17 + x269 =L= 0.85;
e232.. - 0.15*b18 + x270 =L= 0.85;
e233.. - 0.15*b19 + x271 =L= 0.85;
e234.. - 0.3*b23 + x272 =L= 0.7;
e235.. - 0.3*b24 + x273 =L= 0.7;
e236.. - 0.3*b25 + x274 =L= 0.7;
e237.. b2 - b5 =G= 0;
e238.. b3 - b6 =G= 0;
e239.. b4 - b7 =G= 0;
e240.. b5 - b8 =G= 0;
e241.. b6 - b9 =G= 0;
e242.. b7 - b10 =G= 0;
e243.. b11 - b14 =G= 0;
e244.. b12 - b15 =G= 0;
e245.. b13 - b16 =G= 0;
e246.. b17 - b20 =G= 0;
e247.. b18 - b21 =G= 0;
e248.. b19 - b22 =G= 0;
e249.. b23 - b26 =G= 0;
e250.. b24 - b27 =G= 0;
e251.. b25 - b28 =G= 0;
e252.. x99 - x140 - x146 - x152 =E= 0;
e253.. x101 - x142 - x148 - x154 =E= 0;
e254.. x103 - x144 - x150 - x156 =E= 0;
e255.. x105 - x158 - x164 - x170 - x176 =E= 0;
e256.. x107 - x160 - x166 - x172 - x178 =E= 0;
e257.. x109 - x162 - x168 - x174 - x180 =E= 0;
e258.. x114 - x182 - x188 =E= 0;
e259.. x116 - x184 - x190 =E= 0;
e260.. x118 - x186 - x192 =E= 0;
e261.. - 2000*b2 + x141 - x225 =G= -2000;
e262.. - 2000*b3 + x149 - x227 =G= -2000;
e263.. - 2000*b4 + x157 - x229 =G= -2000;
e264.. - 2000*b5 + x165 - x225 =G= -2000;
e265.. - 2000*b6 + x171 - x227 =G= -2000;
e266.. - 2000*b7 + x177 - x229 =G= -2000;
e267.. - 2000*b8 + x183 - x225 =G= -2000;
e268.. - 2000*b9 + x189 - x227 =G= -2000;
e269.. - 2000*b10 + x29 - x229 =G= -2000;
e270.. - 2000*b11 + x32 - x230 =G= -2000;
e271.. - 2000*b12 + x36 - x231 =G= -2000;
e272.. - 2000*b13 + x40 - x232 =G= -2000;
e273.. - 2000*b14 + x44 - x230 =G= -2000;
e274.. - 2000*b15 + x47 - x231 =G= -2000;
e275.. - 2000*b16 + x50 - x232 =G= -2000;
e276.. - 2000*b17 + x53 - x230 =G= -2000;
e277.. - 2000*b18 + x57 - x231 =G= -2000;
e278.. - 2000*b19 + x61 - x232 =G= -2000;
e279.. - 2000*b20 + x65 - x230 =G= -2000;
e280.. - 2000*b21 + x68 - x231 =G= -2000;
e281.. - 2000*b22 + x71 - x232 =G= -2000;
e282.. - 2000*b23 + x74 - x233 =G= -2000;
e283.. - 2000*b24 + x78 - x234 =G= -2000;
e284.. - 2000*b25 + x82 - x235 =G= -2000;
e285.. - 2000*b26 + x86 - x233 =G= -2000;
e286.. - 2000*b27 + x89 - x234 =G= -2000;
e287.. - 2000*b28 + x92 - x235 =G= -2000;
e288.. 1049*b2 + x141 - x225 =L= 1049;
e289.. 1049*b3 + x149 - x227 =L= 1049;
e290.. 1049*b4 + x157 - x229 =L= 1049;
e291.. 1049*b5 + x165 - x225 =L= 1049;
e292.. 1049*b6 + x171 - x227 =L= 1049;
e293.. 1049*b7 + x177 - x229 =L= 1049;
e294.. 1049*b8 + x183 - x225 =L= 1049;
e295.. 1049*b9 + x189 - x227 =L= 1049;
e296.. 1049*b10 + x29 - x229 =L= 1049;
e297.. 1065*b11 + x32 - x230 =L= 1065;
e298.. 1065*b12 + x36 - x231 =L= 1065;
e299.. 1065*b13 + x40 - x232 =L= 1065;
e300.. 1065*b14 + x44 - x230 =L= 1065;
e301.. 1065*b15 + x47 - x231 =L= 1065;
e302.. 1065*b16 + x50 - x232 =L= 1065;
e303.. 1065*b17 + x53 - x230 =L= 1065;
e304.. 1065*b18 + x57 - x231 =L= 1065;
e305.. 1065*b19 + x61 - x232 =L= 1065;
e306.. 1065*b20 + x65 - x230 =L= 1065;
e307.. 1065*b21 + x68 - x231 =L= 1065;
e308.. 1065*b22 + x71 - x232 =L= 1065;
e309.. 1095*b23 + x74 - x233 =L= 1095;
e310.. 1095*b24 + x78 - x234 =L= 1095;
e311.. 1095*b25 + x82 - x235 =L= 1095;
e312.. 1095*b26 + x86 - x233 =L= 1095;
e313.. 1095*b27 + x89 - x234 =L= 1095;
e314.. 1095*b28 + x92 - x235 =L= 1095;
e315.. - x197 + x210 =G= 0;
e316.. - x198 + x213 =G= 0;
e317.. - x199 + x216 =G= 0;
e318.. x200 - x275 =G= 0;
e319.. x201 - x276 =G= 0;
e320.. x202 - x277 =G= 0;
e321.. - 0.309838295393634*x278 + 13.94696158*x279 + 24.46510819*x280
- 7.28623839*x281 - 23.57687014*x282 =L= 0;
e322.. - 0.309838295393634*x283 + 13.94696158*x284 + 24.46510819*x285
- 7.28623839*x286 - 23.57687014*x287 =L= 0;
e323.. - 0.309838295393634*x288 + 13.94696158*x289 + 24.46510819*x290
- 7.28623839*x291 - 23.57687014*x292 =L= 0;
e324.. - 0.309838295393634*x293 + 13.94696158*x294 + 24.46510819*x295
- 7.28623839*x296 - 23.57687014*x297 =L= 0;
e325.. - 0.309838295393634*x298 + 13.94696158*x299 + 24.46510819*x300
- 7.28623839*x301 - 23.57687014*x302 =L= 0;
e326.. - 0.309838295393634*x303 + 13.94696158*x304 + 24.46510819*x305
- 7.28623839*x306 - 23.57687014*x307 =L= 0;
e327.. - 0.309838295393634*x308 + 13.94696158*x309 + 24.46510819*x310
- 7.28623839*x311 - 23.57687014*x312 =L= 0;
e328.. - 0.309838295393634*x313 + 13.94696158*x314 + 24.46510819*x315
- 7.28623839*x316 - 23.57687014*x317 =L= 0;
e329.. - 0.309838295393634*x318 + 13.94696158*x319 + 24.46510819*x320
- 7.28623839*x321 - 23.57687014*x322 =L= 0;
e330.. - 0.309838295393634*x323 + 29.29404529*x324 - 108.39408287*x325
+ 442.21990639*x326 - 454.58448169*x327 =L= 0;
e331.. - 0.309838295393634*x328 + 29.29404529*x329 - 108.39408287*x330
+ 442.21990639*x331 - 454.58448169*x332 =L= 0;
e332.. - 0.309838295393634*x333 + 29.29404529*x334 - 108.39408287*x335
+ 442.21990639*x336 - 454.58448169*x337 =L= 0;
e333.. - 0.309838295393634*x338 + 29.29404529*x339 - 108.39408287*x340
+ 442.21990639*x341 - 454.58448169*x342 =L= 0;
e334.. 442.21990639*x343 - 454.58448169*x344 - 0.309838295393634*x345
+ 29.29404529*x346 - 108.39408287*x347 =L= 0;
e335.. - 0.309838295393634*x348 + 29.29404529*x349 - 108.39408287*x350
+ 442.21990639*x351 - 454.58448169*x352 =L= 0;
e336.. - 0.309838295393634*x353 + 25.92674585*x354 + 18.13482123*x355
+ 22.12766012*x356 - 42.68950769*x357 =L= 0;
e337.. - 0.309838295393634*x358 + 25.92674585*x359 + 18.13482123*x360
+ 22.12766012*x361 - 42.68950769*x362 =L= 0;
e338.. - 0.309838295393634*x363 + 25.92674585*x364 + 18.13482123*x365
+ 22.12766012*x366 - 42.68950769*x367 =L= 0;
e339.. - 0.309838295393634*x368 + 25.92674585*x369 + 18.13482123*x370
+ 22.12766012*x371 - 42.68950769*x372 =L= 0;
e340.. - 0.309838295393634*x373 + 25.92674585*x374 + 18.13482123*x375
+ 22.12766012*x376 - 42.68950769*x377 =L= 0;
e341.. - 0.309838295393634*x378 + 25.92674585*x379 + 18.13482123*x380
+ 22.12766012*x381 - 42.68950769*x382 =L= 0;
e342.. - 0.309838295393634*x383 + 17.4714791*x384 - 39.98407808*x385
+ 134.55943082*x386 - 135.88441782*x387 =L= 0;
e343.. - 0.309838295393634*x388 + 17.4714791*x389 - 39.98407808*x390
+ 134.55943082*x391 - 135.88441782*x392 =L= 0;
e344.. - 0.309838295393634*x393 + 17.4714791*x394 - 39.98407808*x395
+ 134.55943082*x396 - 135.88441782*x397 =L= 0;
e345.. - 0.309838295393634*x398 + 17.4714791*x399 - 39.98407808*x400
+ 134.55943082*x401 - 135.88441782*x402 =L= 0;
e346.. - 0.309838295393634*x403 + 17.4714791*x404 - 39.98407808*x405
+ 134.55943082*x406 - 135.88441782*x407 =L= 0;
e347.. - 0.309838295393634*x408 + 17.4714791*x409 - 39.98407808*x410
+ 134.55943082*x411 - 135.88441782*x412 =L= 0;
e348.. sqr(x98) - x413 =E= 0;
e349.. x204 - 5*x413 =E= 0;
e350.. sqr(x100) - x414 =E= 0;
e351.. x206 - 5*x414 =E= 0;
e352.. sqr(x102) - x415 =E= 0;
e353.. x208 - 5*x415 =E= 0;
e354.. sqr(x104) - x416 =E= 0;
e355.. x211 - 4*x416 =E= 0;
e356.. sqr(x106) - x417 =E= 0;
e357.. x214 - 4*x417 =E= 0;
e358.. sqr(x108) - x418 =E= 0;
e359.. x217 - 4*x418 =E= 0;
e360.. sqr(x113) - x419 =E= 0;
e361.. x219 - 5*x419 =E= 0;
e362.. sqr(x115) - x420 =E= 0;
e363.. x221 - 5*x420 =E= 0;
e364.. sqr(x117) - x421 =E= 0;
e365.. x223 - 5*x421 =E= 0;
e366.. sqr(x140) - x422 =E= 0;
e367.. x143 - x422 =E= 0;
e368.. POWER(x140,3) - x423 =E= 0;
e369.. x282 - x423 =E= 0;
e370.. sqr(x142) - x424 =E= 0;
e371.. x151 - x424 =E= 0;
e372.. POWER(x142,3) - x425 =E= 0;
e373.. x287 - x425 =E= 0;
e374.. sqr(x144) - x426 =E= 0;
e375.. x159 - x426 =E= 0;
e376.. POWER(x144,3) - x427 =E= 0;
e377.. x292 - x427 =E= 0;
e378.. sqr(x146) - x428 =E= 0;
e379.. x167 - x428 =E= 0;
e380.. POWER(x146,3) - x429 =E= 0;
e381.. x297 - x429 =E= 0;
e382.. sqr(x148) - x430 =E= 0;
e383.. x175 - x430 =E= 0;
e384.. POWER(x148,3) - x431 =E= 0;
e385.. x302 - x431 =E= 0;
e386.. sqr(x150) - x432 =E= 0;
e387.. x181 - x432 =E= 0;
e388.. POWER(x150,3) - x433 =E= 0;
e389.. x307 - x433 =E= 0;
e390.. sqr(x152) - x434 =E= 0;
e391.. x187 - x434 =E= 0;
e392.. POWER(x152,3) - x435 =E= 0;
e393.. x312 - x435 =E= 0;
e394.. sqr(x154) - x436 =E= 0;
e395.. x191 - x436 =E= 0;
e396.. POWER(x154,3) - x437 =E= 0;
e397.. x317 - x437 =E= 0;
e398.. sqr(x156) - x438 =E= 0;
e399.. x30 - x438 =E= 0;
e400.. POWER(x156,3) - x439 =E= 0;
e401.. x322 - x439 =E= 0;
e402.. sqr(x158) - x440 =E= 0;
e403.. x35 - x440 =E= 0;
e404.. POWER(x158,3) - x441 =E= 0;
e405.. x327 - x441 =E= 0;
e406.. sqr(x160) - x442 =E= 0;
e407.. x37 - x442 =E= 0;
e408.. POWER(x160,3) - x443 =E= 0;
e409.. x332 - x443 =E= 0;
e410.. sqr(x162) - x444 =E= 0;
e411.. x42 - x444 =E= 0;
e412.. POWER(x162,3) - x445 =E= 0;
e413.. x337 - x445 =E= 0;
e414.. sqr(x164) - x446 =E= 0;
e415.. x46 - x446 =E= 0;
e416.. POWER(x164,3) - x447 =E= 0;
e417.. x342 - x447 =E= 0;
e418.. sqr(x166) - x448 =E= 0;
e419.. x48 - x448 =E= 0;
e420.. POWER(x166,3) - x449 =E= 0;
e421.. x344 - x449 =E= 0;
e422.. sqr(x168) - x450 =E= 0;
e423.. x52 - x450 =E= 0;
e424.. POWER(x168,3) - x451 =E= 0;
e425.. x352 - x451 =E= 0;
e426.. sqr(x170) - x452 =E= 0;
e427.. x56 - x452 =E= 0;
e428.. POWER(x170,3) - x453 =E= 0;
e429.. x357 - x453 =E= 0;
e430.. sqr(x172) - x454 =E= 0;
e431.. x58 - x454 =E= 0;
e432.. POWER(x172,3) - x455 =E= 0;
e433.. x362 - x455 =E= 0;
e434.. sqr(x174) - x456 =E= 0;
e435.. x64 - x456 =E= 0;
e436.. POWER(x174,3) - x457 =E= 0;
e437.. x367 - x457 =E= 0;
e438.. sqr(x176) - x458 =E= 0;
e439.. x67 - x458 =E= 0;
e440.. POWER(x176,3) - x459 =E= 0;
e441.. x372 - x459 =E= 0;
e442.. sqr(x178) - x460 =E= 0;
e443.. x69 - x460 =E= 0;
e444.. POWER(x178,3) - x461 =E= 0;
e445.. x377 - x461 =E= 0;
e446.. sqr(x180) - x462 =E= 0;
e447.. x73 - x462 =E= 0;
e448.. POWER(x180,3) - x463 =E= 0;
e449.. x382 - x463 =E= 0;
e450.. sqr(x182) - x464 =E= 0;
e451.. x76 - x464 =E= 0;
e452.. POWER(x182,3) - x465 =E= 0;
e453.. x387 - x465 =E= 0;
e454.. sqr(x184) - x466 =E= 0;
e455.. x81 - x466 =E= 0;
e456.. POWER(x184,3) - x467 =E= 0;
e457.. x392 - x467 =E= 0;
e458.. sqr(x186) - x468 =E= 0;
e459.. x85 - x468 =E= 0;
e460.. POWER(x186,3) - x469 =E= 0;
e461.. x397 - x469 =E= 0;
e462.. sqr(x188) - x470 =E= 0;
e463.. x87 - x470 =E= 0;
e464.. POWER(x188,3) - x471 =E= 0;
e465.. x402 - x471 =E= 0;
e466.. sqr(x190) - x472 =E= 0;
e467.. x90 - x472 =E= 0;
e468.. POWER(x190,3) - x473 =E= 0;
e469.. x407 - x473 =E= 0;
e470.. sqr(x192) - x474 =E= 0;
e471.. x94 - x474 =E= 0;
e472.. POWER(x192,3) - x475 =E= 0;
e473.. x412 - x475 =E= 0;
e474.. x140*x263 - x145 =E= 0;
e475.. x263*x422 - x281 =E= 0;
e476.. x146*x263 - x169 =E= 0;
e477.. x263*x428 - x296 =E= 0;
e478.. x152*x263 - x185 =E= 0;
e479.. x263*x434 - x311 =E= 0;
e480.. sqr(x263) - x476 =E= 0;
e481.. x147 - x476 =E= 0;
e482.. x140*x476 - x280 =E= 0;
e483.. x146*x476 - x295 =E= 0;
e484.. x152*x476 - x310 =E= 0;
e485.. POWER(x263,3) - x477 =E= 0;
e486.. b2*x477 - x279 =E= 0;
e487.. b5*x477 - x294 =E= 0;
e488.. b8*x477 - x309 =E= 0;
e489.. x142*x264 - x155 =E= 0;
e490.. x264*x424 - x286 =E= 0;
e491.. x148*x264 - x173 =E= 0;
e492.. x264*x430 - x301 =E= 0;
e493.. x154*x264 - x193 =E= 0;
e494.. x264*x436 - x316 =E= 0;
e495.. sqr(x264) - x478 =E= 0;
e496.. x153 - x478 =E= 0;
e497.. x142*x478 - x285 =E= 0;
e498.. x148*x478 - x300 =E= 0;
e499.. x154*x478 - x315 =E= 0;
e500.. POWER(x264,3) - x479 =E= 0;
e501.. b3*x479 - x284 =E= 0;
e502.. b6*x479 - x299 =E= 0;
e503.. b9*x479 - x314 =E= 0;
e504.. x144*x265 - x163 =E= 0;
e505.. x265*x426 - x291 =E= 0;
e506.. x150*x265 - x179 =E= 0;
e507.. x265*x432 - x306 =E= 0;
e508.. x156*x265 - x31 =E= 0;
e509.. x265*x438 - x321 =E= 0;
e510.. sqr(x265) - x480 =E= 0;
e511.. x161 - x480 =E= 0;
e512.. x144*x480 - x290 =E= 0;
e513.. x150*x480 - x305 =E= 0;
e514.. x156*x480 - x320 =E= 0;
e515.. POWER(x265,3) - x481 =E= 0;
e516.. b4*x481 - x289 =E= 0;
e517.. b7*x481 - x304 =E= 0;
e518.. b10*x481 - x319 =E= 0;
e519.. x158*x266 - x34 =E= 0;
e520.. x266*x440 - x326 =E= 0;
e521.. x164*x266 - x45 =E= 0;
e522.. x266*x446 - x341 =E= 0;
e523.. sqr(x266) - x482 =E= 0;
e524.. x33 - x482 =E= 0;
e525.. x158*x482 - x325 =E= 0;
e526.. x164*x482 - x340 =E= 0;
e527.. POWER(x266,3) - x483 =E= 0;
e528.. b11*x483 - x324 =E= 0;
e529.. b14*x483 - x339 =E= 0;
e530.. x160*x267 - x39 =E= 0;
e531.. x267*x442 - x331 =E= 0;
e532.. x166*x267 - x49 =E= 0;
e533.. x267*x448 - x343 =E= 0;
e534.. sqr(x267) - x484 =E= 0;
e535.. x38 - x484 =E= 0;
e536.. x160*x484 - x330 =E= 0;
e537.. x166*x484 - x347 =E= 0;
e538.. POWER(x267,3) - x485 =E= 0;
e539.. b12*x485 - x329 =E= 0;
e540.. b15*x485 - x346 =E= 0;
e541.. x162*x268 - x41 =E= 0;
e542.. x268*x444 - x336 =E= 0;
e543.. x168*x268 - x51 =E= 0;
e544.. x268*x450 - x351 =E= 0;
e545.. sqr(x268) - x486 =E= 0;
e546.. x43 - x486 =E= 0;
e547.. x162*x486 - x335 =E= 0;
e548.. x168*x486 - x350 =E= 0;
e549.. POWER(x268,3) - x487 =E= 0;
e550.. b13*x487 - x334 =E= 0;
e551.. b16*x487 - x349 =E= 0;
e552.. x170*x269 - x54 =E= 0;
e553.. x269*x452 - x356 =E= 0;
e554.. x176*x269 - x66 =E= 0;
e555.. x269*x458 - x371 =E= 0;
e556.. sqr(x269) - x488 =E= 0;
e557.. x55 - x488 =E= 0;
e558.. x170*x488 - x355 =E= 0;
e559.. x176*x488 - x370 =E= 0;
e560.. POWER(x269,3) - x489 =E= 0;
e561.. b17*x489 - x354 =E= 0;
e562.. b20*x489 - x369 =E= 0;
e563.. x172*x270 - x59 =E= 0;
e564.. x270*x454 - x361 =E= 0;
e565.. x178*x270 - x70 =E= 0;
e566.. x270*x460 - x376 =E= 0;
e567.. sqr(x270) - x490 =E= 0;
e568.. x60 - x490 =E= 0;
e569.. x172*x490 - x360 =E= 0;
e570.. x178*x490 - x375 =E= 0;
e571.. POWER(x270,3) - x491 =E= 0;
e572.. b18*x491 - x359 =E= 0;
e573.. b21*x491 - x374 =E= 0;
e574.. x174*x271 - x63 =E= 0;
e575.. x271*x456 - x366 =E= 0;
e576.. x180*x271 - x72 =E= 0;
e577.. x271*x462 - x381 =E= 0;
e578.. sqr(x271) - x492 =E= 0;
e579.. x62 - x492 =E= 0;
e580.. x174*x492 - x365 =E= 0;
e581.. x180*x492 - x380 =E= 0;
e582.. POWER(x271,3) - x493 =E= 0;
e583.. b19*x493 - x364 =E= 0;
e584.. b22*x493 - x379 =E= 0;
e585.. x182*x272 - x75 =E= 0;
e586.. x272*x464 - x386 =E= 0;
e587.. x188*x272 - x88 =E= 0;
e588.. x272*x470 - x401 =E= 0;
e589.. sqr(x272) - x494 =E= 0;
e590.. x77 - x494 =E= 0;
e591.. x182*x494 - x385 =E= 0;
e592.. x188*x494 - x400 =E= 0;
e593.. POWER(x272,3) - x495 =E= 0;
e594.. b23*x495 - x384 =E= 0;
e595.. b26*x495 - x399 =E= 0;
e596.. x184*x273 - x79 =E= 0;
e597.. x273*x466 - x391 =E= 0;
e598.. x190*x273 - x91 =E= 0;
e599.. x273*x472 - x406 =E= 0;
e600.. sqr(x273) - x496 =E= 0;
e601.. x80 - x496 =E= 0;
e602.. x184*x496 - x390 =E= 0;
e603.. x190*x496 - x405 =E= 0;
e604.. POWER(x273,3) - x497 =E= 0;
e605.. b24*x497 - x389 =E= 0;
e606.. b27*x497 - x404 =E= 0;
e607.. x186*x274 - x83 =E= 0;
e608.. x274*x468 - x396 =E= 0;
e609.. x192*x274 - x93 =E= 0;
e610.. x274*x474 - x411 =E= 0;
e611.. sqr(x274) - x498 =E= 0;
e612.. x84 - x498 =E= 0;
e613.. x186*x498 - x395 =E= 0;
e614.. x192*x498 - x410 =E= 0;
e615.. POWER(x274,3) - x499 =E= 0;
e616.. b25*x499 - x394 =E= 0;
e617.. b28*x499 - x409 =E= 0;
* set non-default bounds
x29.lo = -1000; x29.up = 1000;
x32.lo = -1000; x32.up = 1000;
x36.lo = -1000; x36.up = 1000;
x40.lo = -1000; x40.up = 1000;
x44.lo = -1000; x44.up = 1000;
x47.lo = -1000; x47.up = 1000;
x50.lo = -1000; x50.up = 1000;
x53.lo = -1000; x53.up = 1000;
x57.lo = -1000; x57.up = 1000;
x61.lo = -1000; x61.up = 1000;
x65.lo = -1000; x65.up = 1000;
x68.lo = -1000; x68.up = 1000;
x71.lo = -1000; x71.up = 1000;
x74.lo = -1000; x74.up = 1000;
x78.lo = -1000; x78.up = 1000;
x82.lo = -1000; x82.up = 1000;
x86.lo = -1000; x86.up = 1000;
x89.lo = -1000; x89.up = 1000;
x92.lo = -1000; x92.up = 1000;
x95.up = 5;
x96.up = 5;
x97.up = 5;
x98.up = 5;
x99.up = 2.4;
x100.up = 5;
x101.up = 2.4;
x102.up = 5;
x103.up = 2.4;
x104.up = 5;
x105.up = 2.4;
x106.up = 5;
x107.up = 2.4;
x108.up = 5;
x109.up = 2.4;
x110.up = 5;
x111.up = 5;
x112.up = 5;
x113.up = 5;
x114.up = 1.16;
x115.up = 5;
x116.up = 1.16;
x117.up = 5;
x118.up = 1.16;
x119.up = 5;
x120.up = 5;
x121.up = 5;
x122.fx = 3.5;
x123.lo = 2; x123.up = 5;
x124.lo = 2; x124.up = 5;
x125.lo = 2; x125.up = 5;
x126.lo = 2; x126.up = 5;
x127.lo = 2; x127.up = 5;
x128.fx = 4.1;
x129.lo = 2.5; x129.up = 5;
x130.lo = 2.5; x130.up = 5;
x131.lo = 2.5; x131.up = 5;
x132.lo = 2.5; x132.up = 5;
x133.lo = 2.5; x133.up = 5;
x134.fx = 4;
x135.lo = 2; x135.up = 6;
x136.lo = 2; x136.up = 6;
x137.lo = 2; x137.up = 6;
x138.lo = 2; x138.up = 6;
x139.lo = 2; x139.up = 6;
x140.up = 0.8;
x141.lo = -1000; x141.up = 1000;
x142.up = 0.8;
x144.up = 0.8;
x146.up = 0.8;
x148.up = 0.8;
x149.lo = -1000; x149.up = 1000;
x150.up = 0.8;
x152.up = 0.8;
x154.up = 0.8;
x156.up = 0.8;
x157.lo = -1000; x157.up = 1000;
x158.up = 0.5;
x160.up = 0.5;
x162.up = 0.5;
x164.up = 0.5;
x165.lo = -1000; x165.up = 1000;
x166.up = 0.5;
x168.up = 0.5;
x170.up = 0.7;
x171.lo = -1000; x171.up = 1000;
x172.up = 0.7;
x174.up = 0.7;
x176.up = 0.7;
x177.lo = -1000; x177.up = 1000;
x178.up = 0.7;
x180.up = 0.7;
x182.up = 0.58;
x183.lo = -1000; x183.up = 1000;
x184.up = 0.58;
x186.up = 0.58;
x188.up = 0.58;
x189.lo = -1000; x189.up = 1000;
x190.up = 0.58;
x192.up = 0.58;
x194.lo = 62; x194.up = 65;
x195.lo = 62; x195.up = 65;
x196.lo = 62; x196.up = 65;
x197.lo = 92.5; x197.up = 95;
x198.lo = 92.5; x198.up = 95;
x199.lo = 92.5; x199.up = 95;
x200.lo = 105; x200.up = 109;
x201.lo = 105; x201.up = 109;
x202.lo = 105; x202.up = 109;
x203.up = 1000;
x204.lo = -125; x204.up = 125;
x205.up = 1000;
x206.lo = -125; x206.up = 125;
x207.up = 1000;
x208.lo = -125; x208.up = 125;
x209.up = 1000;
x210.up = 1000;
x211.lo = -100; x211.up = 100;
x212.up = 1000;
x213.up = 1000;
x214.lo = -100; x214.up = 100;
x215.up = 1000;
x216.up = 1000;
x217.lo = -100; x217.up = 100;
x218.up = 1000;
x219.lo = -125; x219.up = 125;
x220.up = 1000;
x221.lo = -125; x221.up = 125;
x222.up = 1000;
x223.lo = -125; x223.up = 125;
x224.fx = 49;
x225.lo = -49; x225.up = 1000;
x226.fx = 49;
x227.lo = -49; x227.up = 1000;
x228.fx = 49;
x229.lo = -49; x229.up = 1000;
x230.lo = -65; x230.up = 1000;
x231.lo = -65; x231.up = 1000;
x232.lo = -65; x232.up = 1000;
x233.lo = -95; x233.up = 1000;
x234.lo = -95; x234.up = 1000;
x235.lo = -95; x235.up = 1000;
x236.lo = 0.2; x236.up = 0.8;
x237.lo = 0.2; x237.up = 0.8;
x238.lo = 0.2; x238.up = 0.8;
x239.lo = 0.2; x239.up = 0.8;
x240.lo = 0.2; x240.up = 0.8;
x241.lo = 0.2; x241.up = 0.8;
x242.lo = 0.2; x242.up = 0.8;
x243.lo = 0.2; x243.up = 0.8;
x244.lo = 0.2; x244.up = 0.8;
x245.lo = 0.25; x245.up = 0.5;
x246.lo = 0.25; x246.up = 0.5;
x247.lo = 0.25; x247.up = 0.5;
x248.lo = 0.25; x248.up = 0.5;
x249.lo = 0.25; x249.up = 0.5;
x250.lo = 0.25; x250.up = 0.5;
x251.lo = 0.4; x251.up = 0.7;
x252.lo = 0.4; x252.up = 0.7;
x253.lo = 0.4; x253.up = 0.7;
x254.lo = 0.4; x254.up = 0.7;
x255.lo = 0.4; x255.up = 0.7;
x256.lo = 0.4; x256.up = 0.7;
x257.lo = 0.24; x257.up = 0.58;
x258.lo = 0.24; x258.up = 0.58;
x259.lo = 0.24; x259.up = 0.58;
x260.lo = 0.24; x260.up = 0.58;
x261.lo = 0.24; x261.up = 0.58;
x262.lo = 0.24; x262.up = 0.58;
x263.lo = 0.6; x263.up = 1;
x264.lo = 0.6; x264.up = 1;
x265.lo = 0.6; x265.up = 1;
x266.lo = 0.8; x266.up = 1;
x267.lo = 0.8; x267.up = 1;
x268.lo = 0.8; x268.up = 1;
x269.lo = 0.85; x269.up = 1;
x270.lo = 0.85; x270.up = 1;
x271.lo = 0.85; x271.up = 1;
x272.lo = 0.7; x272.up = 1;
x273.lo = 0.7; x273.up = 1;
x274.lo = 0.7; x274.up = 1;
x275.lo = 100; x275.up = 1000;
x276.lo = 100; x276.up = 1000;
x277.lo = 100; x277.up = 1000;
x278.up = 54.1717996137183;
x283.up = 54.1717996137183;
x288.up = 54.1717996137183;
x293.up = 54.1717996137183;
x298.up = 54.1717996137183;
x303.up = 54.1717996137183;
x308.up = 54.1717996137183;
x313.up = 54.1717996137183;
x318.up = 54.1717996137183;
x323.up = 93.045051789432;
x328.up = 93.045051789432;
x333.up = 93.045051789432;
x338.up = 93.045051789432;
x345.up = 93.045051789432;
x348.up = 93.045051789432;
x353.up = 112.384987749469;
x358.up = 112.384987749469;
x363.up = 112.384987749469;
x368.up = 112.384987749469;
x373.up = 112.384987749469;
x378.up = 112.384987749469;
x383.up = 42.066542469172;
x388.up = 42.066542469172;
x393.up = 42.066542469172;
x398.up = 42.066542469172;
x403.up = 42.066542469172;
x408.up = 42.066542469172;
x413.up = 25;
x414.up = 25;
x415.up = 25;
x416.up = 25;
x417.up = 25;
x418.up = 25;
x419.up = 25;
x420.up = 25;
x421.up = 25;
x422.up = 0.64;
x423.up = 0.512;
x424.up = 0.64;
x425.up = 0.512;
x426.up = 0.64;
x427.up = 0.512;
x428.up = 0.64;
x429.up = 0.512;
x430.up = 0.64;
x431.up = 0.512;
x432.up = 0.64;
x433.up = 0.512;
x434.up = 0.64;
x435.up = 0.512;
x436.up = 0.64;
x437.up = 0.512;
x438.up = 0.64;
x439.up = 0.512;
x440.up = 0.25;
x441.up = 0.125;
x442.up = 0.25;
x443.up = 0.125;
x444.up = 0.25;
x445.up = 0.125;
x446.up = 0.25;
x447.up = 0.125;
x448.up = 0.25;
x449.up = 0.125;
x450.up = 0.25;
x451.up = 0.125;
x452.up = 0.49;
x453.up = 0.343;
x454.up = 0.49;
x455.up = 0.343;
x456.up = 0.49;
x457.up = 0.343;
x458.up = 0.49;
x459.up = 0.343;
x460.up = 0.49;
x461.up = 0.343;
x462.up = 0.49;
x463.up = 0.343;
x464.up = 0.3364;
x465.up = 0.195112;
x466.up = 0.3364;
x467.up = 0.195112;
x468.up = 0.3364;
x469.up = 0.195112;
x470.up = 0.3364;
x471.up = 0.195112;
x472.up = 0.3364;
x473.up = 0.195112;
x474.up = 0.3364;
x475.up = 0.195112;
x476.lo = 0.36; x476.up = 1;
x477.lo = 0.216; x477.up = 1;
x478.lo = 0.36; x478.up = 1;
x479.lo = 0.216; x479.up = 1;
x480.lo = 0.36; x480.up = 1;
x481.lo = 0.216; x481.up = 1;
x482.lo = 0.64; x482.up = 1;
x483.lo = 0.512; x483.up = 1;
x484.lo = 0.64; x484.up = 1;
x485.lo = 0.512; x485.up = 1;
x486.lo = 0.64; x486.up = 1;
x487.lo = 0.512; x487.up = 1;
x488.lo = 0.7225; x488.up = 1;
x489.lo = 0.614125; x489.up = 1;
x490.lo = 0.7225; x490.up = 1;
x491.lo = 0.614125; x491.up = 1;
x492.lo = 0.7225; x492.up = 1;
x493.lo = 0.614125; x493.up = 1;
x494.lo = 0.49; x494.up = 1;
x495.lo = 0.343; x495.up = 1;
x496.lo = 0.49; x496.up = 1;
x497.lo = 0.343; x497.up = 1;
x498.lo = 0.49; x498.up = 1;
x499.lo = 0.343; x499.up = 1;
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% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc