MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waterno1_03

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
402.38251040 p1 ( gdx sol )
(infeas: 5e-13)
Other points (infeas > 1e-08)  
Dual Bounds
402.38251040 (COUENNE)
398.10380270 (LINDO)
402.38222470 (SCIP)
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 495
#Binary Variables 45
#Integer Variables 0
#Nonlinear Variables 138
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 60
#Nonlinear Nonzeros in Objective 0
#Constraints 600
#Linear Constraints 462
#Quadratic Constraints 72
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 66
Operands in Gen. Nonlin. Functions signpower
Constraints curvature indefinite
#Nonzeros in Jacobian 1557
#Nonlinear Nonzeros in Jacobian 174
#Nonzeros in (Upper-Left) Hessian of Lagrangian 174
#Nonzeros in Diagonal of Hessian of Lagrangian 102
#Blocks in Hessian of Lagrangian 102
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 2
Average blocksize in Hessian of Lagrangian 1.352941
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.8052e-04
Maximal coefficient 6.0160e+04
Infeasibility of initial point 5796
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
*        601      312      163      126        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        496      451       45        0        0        0        0        0
*  FX      7
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1618     1444      174        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,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,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;

Positive Variables  x49,x52,x55,x58,x61,x63,x65,x67,x69,x71,x73,x75,x77,x79
          ,x81,x83,x85,x87,x89,x91,x93,x95,x97,x115,x118,x121,x134,x135,x139
          ,x140,x144,x145,x153,x155,x157,x160,x163,x166,x168,x170,x172,x176
          ,x177,x178,x182,x183,x184,x192,x193,x194,x195,x196,x198,x199,x200
          ,x201,x202,x204,x205,x206,x207,x208,x209,x211,x212,x213,x215,x216
          ,x217,x219,x220,x221,x223,x225,x226,x227,x229,x231,x232,x233,x235
          ,x237,x238,x239,x241,x243,x244,x245,x247,x249,x250,x251,x253,x255
          ,x256,x257,x259,x261,x262,x263,x265,x267,x268,x269,x271,x273,x274
          ,x275,x277,x279,x280,x293,x294,x296,x297,x299,x300,x302,x304,x306
          ,x308,x310,x312,x314,x315,x317,x318,x320,x321,x323,x324,x326,x327
          ,x329,x330,x359,x360,x362,x363,x365,x366,x368,x371,x374,x380,x382
          ,x384,x389,x392,x395,x398,x400,x402,x407,x409,x411,x413,x415,x417
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x454,x457
          ,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;

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,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46;

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;


e1..    objvar - 20*x428 - 20*x429 - 20*x430 - 20*x431 - 20*x432 - 20*x433
      - 20*x434 - 20*x435 - 20*x436 - 20*x437 - 20*x438 - 20*x439 - 20*x440
      - 20*x441 - 20*x442 - 20*x443 - 20*x444 - 20*x445 - 20*x446 - 20*x447
      - 20*x448 - 20*x449 - 20*x450 - 20*x451 - 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 =E= 0;

e2..    x210 + x212 =E= 413.764247971;

e3..    x214 + x216 =E= 413.764247971;

e4..    x218 + x220 =E= 413.764247971;

e5..  - 443.128162372*x222 + x224 + x226 =E= 0;

e6..  - 443.128162372*x228 + x230 + x232 =E= 0;

e7..  - 443.128162372*x234 + x236 + x238 =E= 0;

e8..  - 443.128162372*x240 + x242 + x244 =E= 0;

e9..  - 443.128162372*x246 + x248 + x250 =E= 0;

e10..  - 443.128162372*x252 + x254 + x256 =E= 0;

e11..  - 443.128162372*x258 + x260 + x262 =E= 0;

e12..  - 443.128162372*x264 + x266 + x268 =E= 0;

e13..  - 443.128162372*x270 + x272 + x274 =E= 0;

e14..  - 443.128162372*x276 + x278 + x280 =E= 0;

e15..  - 443.128162372*x452 + x453 + x454 =E= 0;

e16..  - 443.128162372*x455 + x456 + x457 =E= 0;

e17..  - 443.128162372*x458 + x459 + x460 =E= 0;

e18..  - 443.128162372*x47 + x48 + x49 =E= 0;

e19..  - 443.128162372*x50 + x51 + x52 =E= 0;

e20..  - 443.128162372*x53 + x54 + x55 =E= 0;

e21..  - 443.128162372*x56 + x57 + x58 =E= 0;

e22..  - 443.128162372*x59 + x60 + x61 =E= 0;

e23..    x62 + x63 =E= 413.764247971;

e24..    x64 + x65 =E= 413.764247971;

e25..    x66 + x67 =E= 413.764247971;

e26..    x68 + x69 =E= 106.777870451;

e27..    x70 + x71 =E= 106.777870451;

e28..    x72 + x73 =E= 106.777870451;

e29..    x74 + x75 =E= 106.777870451;

e30..    x76 + x77 =E= 106.777870451;

e31..    x78 + x79 =E= 106.777870451;

e32..    x80 + x81 =E= 106.777870451;

e33..    x82 + x83 =E= 106.777870451;

e34..    x84 + x85 =E= 106.777870451;

e35..    x86 + x87 =E= 106.777870452;

e36..    x88 + x89 =E= 106.777870452;

e37..    x90 + x91 =E= 106.777870452;

e38..  - x92 + x93 =E= 0;

e39..  - x94 + x95 =E= 0;

e40..  - x96 + x97 =E= 0;

e41..    x92 - x98 - x99 - x100 =E= 0;

e42..    x94 - x101 - x102 - x103 =E= 0;

e43..    x96 - x104 - x105 - x106 =E= 0;

e44..    x107 =E= 0.025;

e45..    x108 =E= 0.025;

e46..    x109 =E= 0.025;

e47..    x110 =E= 0.013;

e48..    x111 =E= 0.012;

e49..    x112 =E= 0.007;

e50..    x113 + x114 - x115 =E= 0;

e51..    x116 + x117 - x118 =E= 0;

e52..    x119 + x120 - x121 =E= 0;

e53..    x100 - x113 + x122 - x123 =E= 0;

e54..    x103 - x116 + x124 - x125 =E= 0;

e55..    x106 - x119 + x126 - x127 =E= 0;

e56..    x99 - x128 =E= 0;

e57..    x102 - x129 =E= 0;

e58..    x105 - x130 =E= 0;

e59..    x115 + x131 + x132 + x133 - x134 - x135 =E= 0;

e60..    x118 + x136 + x137 + x138 - x139 - x140 =E= 0;

e61..    x121 + x141 + x142 + x143 - x144 - x145 =E= 0;

e62..  - x107 + x123 + x128 - x146 =E= 0;

e63..  - x108 + x125 + x129 - x147 =E= 0;

e64..  - x109 + x127 + x130 - x148 =E= 0;

e65..  - x110 - x114 + x146 =E= 0;

e66..  - x111 - x117 + x147 =E= 0;

e67..  - x112 - x120 + x148 =E= 0;

e68..    x98 - x122 =E= 0;

e69..    x101 - x124 =E= 0;

e70..    x104 - x126 =E= 0;

e71..  - x149 =E= 0.1624;

e72..  - x150 =E= 0.1616;

e73..  - x151 =E= 0.0912;

e74..    x149 - x152 + x153 =E= 0;

e75..    x150 - x154 + x155 =E= 0;

e76..    x151 - x156 + x157 =E= 0;

e77..    x158 + x159 - x160 =E= 0;

e78..    x161 + x162 - x163 =E= 0;

e79..    x164 + x165 - x166 =E= 0;

e80..    x160 + x167 - x168 =E= 0;

e81..    x163 + x169 - x170 =E= 0;

e82..    x166 + x171 - x172 =E= 0;

e83..  - x167 - x173 =E= 0.0138888888888889;

e84..  - x169 - x174 =E= 0.0138888888888889;

e85..  - x171 - x175 =E= 0.0138888888888889;

e86..  - x132 + x173 - x176 =E= 0;

e87..  - x137 + x174 - x177 =E= 0;

e88..  - x142 + x175 - x178 =E= 0;

e89..    x179 =E= 0;

e90..    x180 =E= 0;

e91..    x181 =E= 0;

e92..  - x133 + x168 =E= 0;

e93..  - x138 + x170 =E= 0;

e94..  - x143 + x172 =E= 0;

e95..  - x131 - x153 =E= 0;

e96..  - x136 - x155 =E= 0;

e97..  - x141 - x157 =E= 0;

e98..  - x93 + x182 =E= 0;

e99..  - x95 + x183 =E= 0;

e100..  - x97 + x184 =E= 0;

e101..    3600*x152 + 239.978718892*x185 - 239.978718892*x186 =E= 0;

e102..    3600*x154 + 239.978718892*x187 - 239.978718892*x188 =E= 0;

e103..    3600*x156 + 239.978718892*x189 - 239.978718892*x190 =E= 0;

e104..    3600*x134 - 3600*x158 + 416.560177655*x191 - 416.560177655*x192 =E= 0
       ;

e105..    3600*x139 - 3600*x161 + 416.560177655*x193 - 416.560177655*x194 =E= 0
       ;

e106..    3600*x144 - 3600*x164 + 416.560177655*x195 - 416.560177655*x196 =E= 0
       ;

e107..    3600*x135 - 3600*x159 + 416.560177655*x197 - 416.560177655*x198 =E= 0
       ;

e108..    3600*x140 - 3600*x162 + 416.560177655*x199 - 416.560177655*x200 =E= 0
       ;

e109..    3600*x145 - 3600*x165 + 416.560177655*x201 - 416.560177655*x202 =E= 0
       ;

e110..    3600*x176 - 3600*x179 + 165.129961038*x203 - 165.129961038*x204 =E= 0
       ;

e111..    3600*x177 - 3600*x180 + 165.129961038*x205 - 165.129961038*x206 =E= 0
       ;

e112..    3600*x178 - 3600*x181 + 165.129961038*x207 - 165.129961038*x208 =E= 0
       ;

e113..  - x186 + x187 =E= 0;

e114..  - x188 + x189 =E= 0;

e115..  - x192 + x193 =E= 0;

e116..  - x194 + x195 =E= 0;

e117..  - x198 + x199 =E= 0;

e118..  - x200 + x201 =E= 0;

e119..  - x204 + x205 =E= 0;

e120..  - x206 + x207 =E= 0;

e121..  - 0.037494*b2 + x209 =G= 0;

e122..  - 0.037494*b3 + x211 =G= 0;

e123..  - 0.037494*b4 + x213 =G= 0;

e124..  - 0.074997*b5 + x215 =G= 0;

e125..  - 0.074997*b6 + x217 =G= 0;

e126..  - 0.074997*b7 + x219 =G= 0;

e127..  - 0.074997*b8 + x221 =G= 0;

e128..  - 0.074997*b9 + x223 =G= 0;

e129..  - 0.074997*b10 + x225 =G= 0;

e130..  - 0.074997*b11 + x227 =G= 0;

e131..  - 0.074997*b12 + x229 =G= 0;

e132..  - 0.074997*b13 + x231 =G= 0;

e133..  - 0.074997*b14 + x233 =G= 0;

e134..  - 0.074997*b15 + x235 =G= 0;

e135..  - 0.074997*b16 + x237 =G= 0;

e136..  - 0.074997*b17 + x239 =G= 0;

e137..  - 0.074997*b18 + x241 =G= 0;

e138..  - 0.074997*b19 + x243 =G= 0;

e139..  - 0.074997*b20 + x245 =G= 0;

e140..  - 0.074997*b21 + x247 =G= 0;

e141..  - 0.074997*b22 + x249 =G= 0;

e142..  - 0.037494*b23 + x251 =G= 0;

e143..  - 0.037494*b24 + x253 =G= 0;

e144..  - 0.037494*b25 + x255 =G= 0;

e145..  - 0.097497*b26 + x257 =G= 0;

e146..  - 0.097497*b27 + x259 =G= 0;

e147..  - 0.097497*b28 + x261 =G= 0;

e148..  - 0.097497*b29 + x263 =G= 0;

e149..  - 0.097497*b30 + x265 =G= 0;

e150..  - 0.097497*b31 + x267 =G= 0;

e151..  - 0.097497*b32 + x269 =G= 0;

e152..  - 0.097497*b33 + x271 =G= 0;

e153..  - 0.097497*b34 + x273 =G= 0;

e154..  - 0.058743*b35 + x275 =G= 0;

e155..  - 0.058743*b36 + x277 =G= 0;

e156..  - 0.058743*b37 + x279 =G= 0;

e157..  - 0.045826*b2 + x209 =L= 0;

e158..  - 0.045826*b3 + x211 =L= 0;

e159..  - 0.045826*b4 + x213 =L= 0;

e160..  - 0.091663*b5 + x215 =L= 0;

e161..  - 0.091663*b6 + x217 =L= 0;

e162..  - 0.091663*b7 + x219 =L= 0;

e163..  - 0.091663*b8 + x221 =L= 0;

e164..  - 0.091663*b9 + x223 =L= 0;

e165..  - 0.091663*b10 + x225 =L= 0;

e166..  - 0.091663*b11 + x227 =L= 0;

e167..  - 0.091663*b12 + x229 =L= 0;

e168..  - 0.091663*b13 + x231 =L= 0;

e169..  - 0.091663*b14 + x233 =L= 0;

e170..  - 0.091663*b15 + x235 =L= 0;

e171..  - 0.091663*b16 + x237 =L= 0;

e172..  - 0.091663*b17 + x239 =L= 0;

e173..  - 0.091663*b18 + x241 =L= 0;

e174..  - 0.091663*b19 + x243 =L= 0;

e175..  - 0.091663*b20 + x245 =L= 0;

e176..  - 0.091663*b21 + x247 =L= 0;

e177..  - 0.091663*b22 + x249 =L= 0;

e178..  - 0.045826*b23 + x251 =L= 0;

e179..  - 0.045826*b24 + x253 =L= 0;

e180..  - 0.045826*b25 + x255 =L= 0;

e181..  - 0.119163*b26 + x257 =L= 0;

e182..  - 0.119163*b27 + x259 =L= 0;

e183..  - 0.119163*b28 + x261 =L= 0;

e184..  - 0.119163*b29 + x263 =L= 0;

e185..  - 0.119163*b30 + x265 =L= 0;

e186..  - 0.119163*b31 + x267 =L= 0;

e187..  - 0.119163*b32 + x269 =L= 0;

e188..  - 0.119163*b33 + x271 =L= 0;

e189..  - 0.119163*b34 + x273 =L= 0;

e190..  - 0.071797*b35 + x275 =L= 0;

e191..  - 0.071797*b36 + x277 =L= 0;

e192..  - 0.071797*b37 + x279 =L= 0;

e193..  - x185 + x281 =E= 300;

e194..  - x187 + x282 =E= 300;

e195..  - x189 + x283 =E= 300;

e196..  - x191 + x284 =E= 240;

e197..  - x193 + x285 =E= 240;

e198..  - x195 + x286 =E= 240;

e199..  - x197 + x287 =E= 240;

e200..  - x199 + x288 =E= 240;

e201..  - x201 + x289 =E= 240;

e202..  - x203 + x290 =E= 243;

e203..  - x205 + x291 =E= 243;

e204..  - x207 + x292 =E= 243;

e205..    x293 - x294 - x295 =E= 0;

e206..    x296 - x297 - x298 =E= 0;

e207..    x299 - x300 - x301 =E= 0;

e208..    x294 - x302 - x303 =E= 0;

e209..    x297 - x304 - x305 =E= 0;

e210..    x300 - x306 - x307 =E= 0;

e211..    x294 - x308 - x309 =E= 0;

e212..    x297 - x310 - x311 =E= 0;

e213..    x300 - x312 - x313 =E= 0;

e214..    x314 - x315 - x316 =E= 0;

e215..    x317 - x318 - x319 =E= 0;

e216..    x320 - x321 - x322 =E= 0;

e217..  - x323 + x324 - x325 =E= 0;

e218..  - x326 + x327 - x328 =E= 0;

e219..  - x329 + x330 - x331 =E= 0;

e220..    x308 - x323 - x332 =E= 0;

e221..    x310 - x326 - x333 =E= 0;

e222..    x312 - x329 - x334 =E= 0;

e223..    x294 - x314 - x335 =E= 0;

e224..    x297 - x317 - x336 =E= 0;

e225..    x300 - x320 - x337 =E= 0;

e226..    x315 - x324 - x338 =E= 0;

e227..    x318 - x327 - x339 =E= 0;

e228..    x321 - x330 - x340 =E= 0;

e229..    x302 - x308 - x341 =E= 0;

e230..    x304 - x310 - x342 =E= 0;

e231..    x306 - x312 - x343 =E= 0;

e232..    x308 - x315 - x344 =E= 0;

e233..    x310 - x318 - x345 =E= 0;

e234..    x312 - x321 - x346 =E= 0;

e235..    x315 - x347 - x348 =E= 0;

e236..    x318 - x349 - x350 =E= 0;

e237..    x321 - x351 - x352 =E= 0;

e238..    x324 - x353 - x354 =E= 0;

e239..    x327 - x355 - x356 =E= 0;

e240..    x330 - x357 - x358 =E= 0;

e241..  - x359 + x360 - x361 =E= 0;

e242..  - x362 + x363 - x364 =E= 0;

e243..  - x365 + x366 - x367 =E= 0;

e244..  - x368 + x369 - x370 =E= 0;

e245..  - x371 + x372 - x373 =E= 0;

e246..  - x374 + x375 - x376 =E= 0;

e247..  - x281 + x368 - x377 =E= 0;

e248..  - x282 + x371 - x378 =E= 0;

e249..  - x283 + x374 - x379 =E= 0;

e250..    x284 - x380 - x381 =E= 0;

e251..    x285 - x382 - x383 =E= 0;

e252..    x286 - x384 - x385 =E= 0;

e253..    x287 - x380 - x386 =E= 0;

e254..    x288 - x382 - x387 =E= 0;

e255..    x289 - x384 - x388 =E= 0;

e256..  - x389 + x390 - x391 =E= 0;

e257..  - x392 + x393 - x394 =E= 0;

e258..  - x395 + x396 - x397 =E= 0;

e259..  - x359 + x398 - x399 =E= 0;

e260..  - x362 + x400 - x401 =E= 0;

e261..  - x365 + x402 - x403 =E= 0;

e262..    x390 - x398 - x404 =E= 0;

e263..    x393 - x400 - x405 =E= 0;

e264..    x396 - x402 - x406 =E= 0;

e265..  - x359 + x407 - x408 =E= 0;

e266..  - x362 + x409 - x410 =E= 0;

e267..  - x365 + x411 - x412 =E= 0;

e268..    x290 - x413 - x414 =E= 0;

e269..    x291 - x415 - x416 =E= 0;

e270..    x292 - x417 - x418 =E= 0;

e271..    x293 - x419 - x420 =E= 0;

e272..    x296 - x421 - x422 =E= 0;

e273..    x299 - x423 - x424 =E= 0;

e274..  - x380 + x389 - x425 =E= 0;

e275..  - x382 + x392 - x426 =E= 0;

e276..  - x384 + x395 - x427 =E= 0;

e277..  - 239.978718892*x185 + 239.978718892*x190 - 416.560177655*x191
        + 416.560177655*x196 - 416.560177655*x197 + 416.560177655*x202
        - 165.129961038*x203 + 165.129961038*x208 =G= 0;

e278..    b2 - b23 =G= 0;

e279..    b3 - b24 =G= 0;

e280..    b4 - b25 =G= 0;

e281..    b5 - b8 =G= 0;

e282..    b6 - b9 =G= 0;

e283..    b7 - b10 =G= 0;

e284..    b8 - b11 =G= 0;

e285..    b9 - b12 =G= 0;

e286..    b10 - b13 =G= 0;

e287..    b11 - b14 =G= 0;

e288..    b12 - b15 =G= 0;

e289..    b13 - b16 =G= 0;

e290..    b14 - b17 =G= 0;

e291..    b15 - b18 =G= 0;

e292..    b16 - b19 =G= 0;

e293..    b17 - b20 =G= 0;

e294..    b18 - b21 =G= 0;

e295..    b19 - b22 =G= 0;

e296..    b26 - b29 =G= 0;

e297..    b27 - b30 =G= 0;

e298..    b28 - b31 =G= 0;

e299..    b29 - b32 =G= 0;

e300..    b30 - b33 =G= 0;

e301..    b31 - b34 =G= 0;

e302..    x93 - x209 - x215 - x221 - x227 - x233 - x239 - x245 - x251 =E= 0;

e303..    x95 - x211 - x217 - x223 - x229 - x235 - x241 - x247 - x253 =E= 0;

e304..    x97 - x213 - x219 - x225 - x231 - x237 - x243 - x249 - x255 =E= 0;

e305..    x160 - x257 - x263 - x269 - x275 =E= 0;

e306..    x163 - x259 - x265 - x271 - x277 =E= 0;

e307..    x166 - x261 - x267 - x273 - x279 =E= 0;

e308..  - 712.572602172813*b2 + x210 - x420 =G= -712.572602172813;

e309..  - 712.572602172813*b3 + x214 - x422 =G= -712.572602172813;

e310..  - 712.572602172813*b4 + x218 - x424 =G= -712.572602172813;

e311..  - 851.700667228731*b5 + x224 - x420 =G= -851.700667228731;

e312..  - 851.700667228731*b6 + x230 - x422 =G= -851.700667228731;

e313..  - 851.700667228731*b7 + x236 - x424 =G= -851.700667228731;

e314..  - 851.700667228731*b8 + x242 - x420 =G= -851.700667228731;

e315..  - 851.700667228731*b9 + x248 - x422 =G= -851.700667228731;

e316..  - 851.700667228731*b10 + x254 - x424 =G= -851.700667228731;

e317..  - 851.700667228731*b11 + x260 - x420 =G= -851.700667228731;

e318..  - 851.700667228731*b12 + x266 - x422 =G= -851.700667228731;

e319..  - 851.700667228731*b13 + x272 - x424 =G= -851.700667228731;

e320..  - 851.700667228731*b14 + x278 - x420 =G= -851.700667228731;

e321..  - 851.700667228731*b15 - x422 + x453 =G= -851.700667228731;

e322..  - 851.700667228731*b16 - x424 + x456 =G= -851.700667228731;

e323..  - 851.700667228731*b17 - x420 + x459 =G= -851.700667228731;

e324..  - 851.700667228731*b18 + x48 - x422 =G= -851.700667228731;

e325..  - 851.700667228731*b19 + x51 - x424 =G= -851.700667228731;

e326..  - 851.700667228731*b20 + x54 - x420 =G= -851.700667228731;

e327..  - 851.700667228731*b21 + x57 - x422 =G= -851.700667228731;

e328..  - 851.700667228731*b22 + x60 - x424 =G= -851.700667228731;

e329..  - 712.572602172813*b23 + x62 - x420 =G= -712.572602172813;

e330..  - 712.572602172813*b24 + x64 - x422 =G= -712.572602172813;

e331..  - 712.572602172813*b25 + x66 - x424 =G= -712.572602172813;

e332..  - 925.825187656153*b26 + x68 - x425 =G= -925.825187656153;

e333..  - 925.825187656153*b27 + x70 - x426 =G= -925.825187656153;

e334..  - 925.825187656153*b28 + x72 - x427 =G= -925.825187656153;

e335..  - 925.825187656153*b29 + x74 - x425 =G= -925.825187656153;

e336..  - 925.825187656153*b30 + x76 - x426 =G= -925.825187656153;

e337..  - 925.825187656153*b31 + x78 - x427 =G= -925.825187656153;

e338..  - 925.825187656153*b32 + x80 - x425 =G= -925.825187656153;

e339..  - 925.825187656153*b33 + x82 - x426 =G= -925.825187656153;

e340..  - 925.825187656153*b34 + x84 - x427 =G= -925.825187656153;

e341..  - 925.825187656502*b35 + x86 - x425 =G= -925.825187656502;

e342..  - 925.825187656502*b36 + x88 - x426 =G= -925.825187656502;

e343..  - 925.825187656502*b37 + x90 - x427 =G= -925.825187656502;

e344..    447.864247971*b2 + x210 - x420 =L= 447.864247971;

e345..    447.864247971*b3 + x214 - x422 =L= 447.864247971;

e346..    447.864247971*b4 + x218 - x424 =L= 447.864247971;

e347..    672.20455381568*b5 + x224 - x420 =L= 672.20455381568;

e348..    672.20455381568*b6 + x230 - x422 =L= 672.20455381568;

e349..    672.20455381568*b7 + x236 - x424 =L= 672.20455381568;

e350..    672.20455381568*b8 + x242 - x420 =L= 672.20455381568;

e351..    672.20455381568*b9 + x248 - x422 =L= 672.20455381568;

e352..    672.20455381568*b10 + x254 - x424 =L= 672.20455381568;

e353..    672.20455381568*b11 + x260 - x420 =L= 672.20455381568;

e354..    672.20455381568*b12 + x266 - x422 =L= 672.20455381568;

e355..    672.20455381568*b13 + x272 - x424 =L= 672.20455381568;

e356..    672.20455381568*b14 + x278 - x420 =L= 672.20455381568;

e357..    672.20455381568*b15 - x422 + x453 =L= 672.20455381568;

e358..    672.20455381568*b16 - x424 + x456 =L= 672.20455381568;

e359..    672.20455381568*b17 - x420 + x459 =L= 672.20455381568;

e360..    672.20455381568*b18 + x48 - x422 =L= 672.20455381568;

e361..    672.20455381568*b19 + x51 - x424 =L= 672.20455381568;

e362..    672.20455381568*b20 + x54 - x420 =L= 672.20455381568;

e363..    672.20455381568*b21 + x57 - x422 =L= 672.20455381568;

e364..    672.20455381568*b22 + x60 - x424 =L= 672.20455381568;

e365..    447.864247971*b23 + x62 - x420 =L= 447.864247971;

e366..    447.864247971*b24 + x64 - x422 =L= 447.864247971;

e367..    447.864247971*b25 + x66 - x424 =L= 447.864247971;

e368..    1106.777870451*b26 + x68 - x425 =L= 1106.777870451;

e369..    1106.777870451*b27 + x70 - x426 =L= 1106.777870451;

e370..    1106.777870451*b28 + x72 - x427 =L= 1106.777870451;

e371..    1106.777870451*b29 + x74 - x425 =L= 1106.777870451;

e372..    1106.777870451*b30 + x76 - x426 =L= 1106.777870451;

e373..    1106.777870451*b31 + x78 - x427 =L= 1106.777870451;

e374..    1106.777870451*b32 + x80 - x425 =L= 1106.777870451;

e375..    1106.777870451*b33 + x82 - x426 =L= 1106.777870451;

e376..    1106.777870451*b34 + x84 - x427 =L= 1106.777870451;

e377..    1106.777870452*b35 + x86 - x425 =L= 1106.777870452;

e378..    1106.777870452*b36 + x88 - x426 =L= 1106.777870452;

e379..    1106.777870452*b37 + x90 - x427 =L= 1106.777870452;

e380..    b2 - b3 + x428 =G= 0;

e381..    b3 - b4 + x429 =G= 0;

e382..    b5 - b6 + x430 =G= 0;

e383..    b6 - b7 + x431 =G= 0;

e384..    b8 - b9 + x432 =G= 0;

e385..    b9 - b10 + x433 =G= 0;

e386..    b11 - b12 + x434 =G= 0;

e387..    b12 - b13 + x435 =G= 0;

e388..    b14 - b15 + x436 =G= 0;

e389..    b15 - b16 + x437 =G= 0;

e390..    b17 - b18 + x438 =G= 0;

e391..    b18 - b19 + x439 =G= 0;

e392..    b20 - b21 + x440 =G= 0;

e393..    b21 - b22 + x441 =G= 0;

e394..    b23 - b24 + x442 =G= 0;

e395..    b24 - b25 + x443 =G= 0;

e396..    b26 - b27 + x444 =G= 0;

e397..    b27 - b28 + x445 =G= 0;

e398..    b29 - b30 + x446 =G= 0;

e399..    b30 - b31 + x447 =G= 0;

e400..    b32 - b33 + x448 =G= 0;

e401..    b33 - b34 + x449 =G= 0;

e402..    b35 - b36 + x450 =G= 0;

e403..    b36 - b37 + x451 =G= 0;

e404..  - b2 + b3 + x428 =G= 0;

e405..  - b3 + b4 + x429 =G= 0;

e406..  - b5 + b6 + x430 =G= 0;

e407..  - b6 + b7 + x431 =G= 0;

e408..  - b8 + b9 + x432 =G= 0;

e409..  - b9 + b10 + x433 =G= 0;

e410..  - b11 + b12 + x434 =G= 0;

e411..  - b12 + b13 + x435 =G= 0;

e412..  - b14 + b15 + x436 =G= 0;

e413..  - b15 + b16 + x437 =G= 0;

e414..  - b17 + b18 + x438 =G= 0;

e415..  - b18 + b19 + x439 =G= 0;

e416..  - b20 + b21 + x440 =G= 0;

e417..  - b21 + b22 + x441 =G= 0;

e418..  - b23 + b24 + x442 =G= 0;

e419..  - b24 + b25 + x443 =G= 0;

e420..  - b26 + b27 + x444 =G= 0;

e421..  - b27 + b28 + x445 =G= 0;

e422..  - b29 + b30 + x446 =G= 0;

e423..  - b30 + b31 + x447 =G= 0;

e424..  - b32 + b33 + x448 =G= 0;

e425..  - b33 + b34 + x449 =G= 0;

e426..  - b35 + b36 + x450 =G= 0;

e427..  - b36 + b37 + x451 =G= 0;

e428..  - 5*b38 + x115 =L= 0;

e429..  - 5*b39 + x118 =L= 0;

e430..  - 5*b40 + x121 =L= 0;

e431..  - 5*b41 + x168 =L= 0;

e432..  - 5*b42 + x170 =L= 0;

e433..  - 5*b43 + x172 =L= 0;

e434..  - 5*b44 + x153 =L= 0;

e435..  - 5*b45 + x155 =L= 0;

e436..  - 5*b46 + x157 =L= 0;

e437..  - 1000*b38 + x323 - x359 =G= -1000;

e438..  - 1000*b39 + x326 - x362 =G= -1000;

e439..  - 1000*b40 + x329 - x365 =G= -1000;

e440..  - 1000*b41 + x389 - x407 =G= -1000;

e441..  - 1000*b42 + x392 - x409 =G= -1000;

e442..  - 1000*b43 + x395 - x411 =G= -1000;

e443..  - 1000*b44 + x360 - x368 =G= -1000;

e444..  - 1000*b45 + x363 - x371 =G= -1000;

e445..  - 1000*b46 + x366 - x374 =G= -1000;

e446..  - 1000*b38 + x323 - x359 =L= 0;

e447..  - 1000*b39 + x326 - x362 =L= 0;

e448..  - 1000*b40 + x329 - x365 =L= 0;

e449..  - 1000*b41 + x389 - x407 =L= 0;

e450..  - 1000*b42 + x392 - x409 =L= 0;

e451..  - 1000*b43 + x395 - x411 =L= 0;

e452..  - 1000*b44 + x360 - x368 =L= 0;

e453..  - 1000*b45 + x363 - x371 =L= 0;

e454..  - 1000*b46 + x366 - x374 =L= 0;

e455..  - x284 + x359 =G= 60;

e456..  - x285 + x362 =G= 60;

e457..  - x286 + x365 =G= 60;

e458..  - x287 + x359 =G= 60;

e459..  - x288 + x362 =G= 60;

e460..  - x289 + x365 =G= 60;

e461..  - x290 + x398 =G= 50;

e462..  - x291 + x400 =G= 50;

e463..  - x292 + x402 =G= 50;

e464.. 60159.7666785*sqr(x209) - x212 =E= 0;

e465.. 60159.7666785*sqr(x211) - x216 =E= 0;

e466.. 60159.7666785*sqr(x213) - x220 =E= 0;

e467.. 16103.4266989*sqr(x215) - x226 =E= 0;

e468.. 16103.4266989*sqr(x217) - x232 =E= 0;

e469.. 16103.4266989*sqr(x219) - x238 =E= 0;

e470.. 16103.4266989*sqr(x221) - x244 =E= 0;

e471.. 16103.4266989*sqr(x223) - x250 =E= 0;

e472.. 16103.4266989*sqr(x225) - x256 =E= 0;

e473.. 16103.4266989*sqr(x227) - x262 =E= 0;

e474.. 16103.4266989*sqr(x229) - x268 =E= 0;

e475.. 16103.4266989*sqr(x231) - x274 =E= 0;

e476.. 16103.4266989*sqr(x233) - x280 =E= 0;

e477.. 16103.4266989*sqr(x235) - x454 =E= 0;

e478.. 16103.4266989*sqr(x237) - x457 =E= 0;

e479.. 16103.4266989*sqr(x239) - x460 =E= 0;

e480.. 16103.4266989*sqr(x241) - x49 =E= 0;

e481.. 16103.4266989*sqr(x243) - x52 =E= 0;

e482.. 16103.4266989*sqr(x245) - x55 =E= 0;

e483.. 16103.4266989*sqr(x247) - x58 =E= 0;

e484.. 16103.4266989*sqr(x249) - x61 =E= 0;

e485.. 60159.7666785*sqr(x251) - x63 =E= 0;

e486.. 60159.7666785*sqr(x253) - x65 =E= 0;

e487.. 60159.7666785*sqr(x255) - x67 =E= 0;

e488.. 2296.01902001*sqr(x257) - x69 =E= 0;

e489.. 2296.01902001*sqr(x259) - x71 =E= 0;

e490.. 2296.01902001*sqr(x261) - x73 =E= 0;

e491.. 2296.01902001*sqr(x263) - x75 =E= 0;

e492.. 2296.01902001*sqr(x265) - x77 =E= 0;

e493.. 2296.01902001*sqr(x267) - x79 =E= 0;

e494.. 2296.01902001*sqr(x269) - x81 =E= 0;

e495.. 2296.01902001*sqr(x271) - x83 =E= 0;

e496.. 2296.01902001*sqr(x273) - x85 =E= 0;

e497.. 6324.78464025*sqr(x275) - x87 =E= 0;

e498.. 6324.78464025*sqr(x277) - x89 =E= 0;

e499.. 6324.78464025*sqr(x279) - x91 =E= 0;

e500.. 2.4525*x209*x210 - x461 =L= 0;

e501.. 2.4525*x211*x214 - x462 =L= 0;

e502.. 2.4525*x213*x218 - x463 =L= 0;

e503.. 2.4525*x215*x224 - x464 =L= 0;

e504.. 2.4525*x217*x230 - x465 =L= 0;

e505.. 2.4525*x219*x236 - x466 =L= 0;

e506.. 2.4525*x221*x242 - x467 =L= 0;

e507.. 2.4525*x223*x248 - x468 =L= 0;

e508.. 2.4525*x225*x254 - x469 =L= 0;

e509.. 2.4525*x227*x260 - x470 =L= 0;

e510.. 2.4525*x229*x266 - x471 =L= 0;

e511.. 2.4525*x231*x272 - x472 =L= 0;

e512.. 2.4525*x233*x278 - x473 =L= 0;

e513.. 2.4525*x235*x453 - x474 =L= 0;

e514.. 2.4525*x237*x456 - x475 =L= 0;

e515.. 2.4525*x239*x459 - x476 =L= 0;

e516.. 2.4525*x48*x241 - x477 =L= 0;

e517.. 2.4525*x51*x243 - x478 =L= 0;

e518.. 2.4525*x54*x245 - x479 =L= 0;

e519.. 2.4525*x57*x247 - x480 =L= 0;

e520.. 2.4525*x60*x249 - x481 =L= 0;

e521.. 2.4525*x62*x251 - x482 =L= 0;

e522.. 2.4525*x64*x253 - x483 =L= 0;

e523.. 2.4525*x66*x255 - x484 =L= 0;

e524.. 2.4525*x68*x257 - x485 =L= 0;

e525.. 2.4525*x70*x259 - x486 =L= 0;

e526.. 2.4525*x72*x261 - x487 =L= 0;

e527.. 2.4525*x74*x263 - x488 =L= 0;

e528.. 2.4525*x76*x265 - x489 =L= 0;

e529.. 2.4525*x78*x267 - x490 =L= 0;

e530.. 2.4525*x80*x269 - x491 =L= 0;

e531.. 2.4525*x82*x271 - x492 =L= 0;

e532.. 2.4525*x84*x273 - x493 =L= 0;

e533.. 2.4525*x86*x275 - x494 =L= 0;

e534.. 2.4525*x88*x277 - x495 =L= 0;

e535.. 2.4525*x90*x279 - x496 =L= 0;

e536.. SignPower(x92,2) - 0.107595782151047*x295 =E= 0;

e537.. SignPower(x94,2) - 0.107595782151047*x298 =E= 0;

e538.. SignPower(x96,2) - 0.107595782151047*x301 =E= 0;

e539.. SignPower(x98,2) - 0.000240846101592208*x303 =E= 0;

e540.. SignPower(x101,2) - 0.000240846101592208*x305 =E= 0;

e541.. SignPower(x104,2) - 0.000240846101592208*x307 =E= 0;

e542.. SignPower(x100,2) - 0.0011039398274554*x309 =E= 0;

e543.. SignPower(x103,2) - 0.0011039398274554*x311 =E= 0;

e544.. SignPower(x106,2) - 0.0011039398274554*x313 =E= 0;

e545.. SignPower(x128,2) - 0.0147658094299242*x316 =E= 0;

e546.. SignPower(x129,2) - 0.0147658094299242*x319 =E= 0;

e547.. SignPower(x130,2) - 0.0147658094299242*x322 =E= 0;

e548.. SignPower(x114,2) - 0.0126524872624481*x325 =E= 0;

e549.. SignPower(x117,2) - 0.0126524872624481*x328 =E= 0;

e550.. SignPower(x120,2) - 0.0126524872624481*x331 =E= 0;

e551.. SignPower(x113,2) - 0.000713164667292268*x332 =E= 0;

e552.. SignPower(x116,2) - 0.000713164667292268*x333 =E= 0;

e553.. SignPower(x119,2) - 0.000713164667292268*x334 =E= 0;

e554.. SignPower(x99,2) - 0.0253049745248962*x335 =E= 0;

e555.. SignPower(x102,2) - 0.0253049745248962*x336 =E= 0;

e556.. SignPower(x105,2) - 0.0253049745248962*x337 =E= 0;

e557.. SignPower(x146,2) - 0.0196735206566467*x338 =E= 0;

e558.. SignPower(x147,2) - 0.0196735206566467*x339 =E= 0;

e559.. SignPower(x148,2) - 0.0196735206566467*x340 =E= 0;

e560.. SignPower(x122,2) - 0.13436247753087*x341 =E= 0;

e561.. SignPower(x124,2) - 0.13436247753087*x342 =E= 0;

e562.. SignPower(x126,2) - 0.13436247753087*x343 =E= 0;

e563.. SignPower(x123,2) - 0.13436247753087*x344 =E= 0;

e564.. SignPower(x125,2) - 0.13436247753087*x345 =E= 0;

e565.. SignPower(x127,2) - 0.13436247753087*x346 =E= 0;

e566.. SignPower(x107,2) - 0.00268724955062101*x348 =E= 0;

e567.. SignPower(x108,2) - 0.00268724955062101*x350 =E= 0;

e568.. SignPower(x109,2) - 0.00268724955062101*x352 =E= 0;

e569.. SignPower(x110,2) - 0.00175817654162355*x354 =E= 0;

e570.. SignPower(x111,2) - 0.00175817654162355*x356 =E= 0;

e571.. SignPower(x112,2) - 0.00175817654162355*x358 =E= 0;

e572.. SignPower(x131,2) - 0.0156579704750926*x361 =E= 0;

e573.. SignPower(x136,2) - 0.0156579704750926*x364 =E= 0;

e574.. SignPower(x141,2) - 0.0156579704750926*x367 =E= 0;

e575.. SignPower(x149,2) - 0.4031634796292*x370 =E= 0;

e576.. SignPower(x150,2) - 0.4031634796292*x373 =E= 0;

e577.. SignPower(x151,2) - 0.4031634796292*x376 =E= 0;

e578.. SignPower(x152,2) - 0.4031634796292*x377 =E= 0;

e579.. SignPower(x154,2) - 0.4031634796292*x378 =E= 0;

e580.. SignPower(x156,2) - 0.4031634796292*x379 =E= 0;

e581.. SignPower(x158,2) - 8.06326959261651*x381 =E= 0;

e582.. SignPower(x161,2) - 8.06326959261651*x383 =E= 0;

e583.. SignPower(x164,2) - 8.06326959261651*x385 =E= 0;

e584.. SignPower(x159,2) - 8.06326959261651*x386 =E= 0;

e585.. SignPower(x162,2) - 8.06326959261651*x387 =E= 0;

e586.. SignPower(x165,2) - 8.06326959261651*x388 =E= 0;

e587.. SignPower(x167,2) - 0.000180519501834947*x391 =E= 0;

e588.. SignPower(x169,2) - 0.000180519501834947*x394 =E= 0;

e589.. SignPower(x171,2) - 0.000180519501834947*x397 =E= 0;

e590.. SignPower(x132,2) - 0.000180519501834947*x399 =E= 0;

e591.. SignPower(x137,2) - 0.000180519501834947*x401 =E= 0;

e592.. SignPower(x142,2) - 0.000180519501834947*x403 =E= 0;

e593.. SignPower(x173,2) - 0.013538962637621*x404 =E= 0;

e594.. SignPower(x174,2) - 0.013538962637621*x405 =E= 0;

e595.. SignPower(x175,2) - 0.013538962637621*x406 =E= 0;

e596.. SignPower(x133,2) - 0.0463936827608069*x408 =E= 0;

e597.. SignPower(x138,2) - 0.0463936827608069*x410 =E= 0;

e598.. SignPower(x143,2) - 0.0463936827608069*x412 =E= 0;

e599.. SignPower(x179,2) - 0.0964450219247959*x414 =E= 0;

e600.. SignPower(x180,2) - 0.0964450219247959*x416 =E= 0;

e601.. SignPower(x181,2) - 0.0964450219247959*x418 =E= 0;

* set non-default bounds
x47.lo = 0.8; x47.up = 1.2;
x48.lo = 148.299332771269; x48.up = 638.10455381568;
x49.up = 135.302691146811;
x50.lo = 0.8; x50.up = 1.2;
x51.lo = 148.299332771269; x51.up = 638.10455381568;
x52.up = 135.302691146811;
x53.lo = 0.8; x53.up = 1.2;
x54.lo = 148.299332771269; x54.up = 638.10455381568;
x55.up = 135.302691146811;
x56.lo = 0.8; x56.up = 1.2;
x57.lo = 148.299332771269; x57.up = 638.10455381568;
x58.up = 135.302691146811;
x59.lo = 0.8; x59.up = 1.2;
x60.lo = 148.299332771269; x60.up = 638.10455381568;
x61.up = 135.302691146811;
x62.lo = 287.427397827187; x62.up = 413.764247971;
x63.up = 126.336850143813;
x64.lo = 287.427397827187; x64.up = 413.764247971;
x65.up = 126.336850143813;
x66.lo = 287.427397827187; x66.up = 413.764247971;
x67.up = 126.336850143813;
x68.lo = 74.1748123438468; x68.up = 106.777870451;
x69.up = 32.6030581071532;
x70.lo = 74.1748123438468; x70.up = 106.777870451;
x71.up = 32.6030581071532;
x72.lo = 74.1748123438468; x72.up = 106.777870451;
x73.up = 32.6030581071532;
x74.lo = 74.1748123438468; x74.up = 106.777870451;
x75.up = 32.6030581071532;
x76.lo = 74.1748123438468; x76.up = 106.777870451;
x77.up = 32.6030581071532;
x78.lo = 74.1748123438468; x78.up = 106.777870451;
x79.up = 32.6030581071532;
x80.lo = 74.1748123438468; x80.up = 106.777870451;
x81.up = 32.6030581071532;
x82.lo = 74.1748123438468; x82.up = 106.777870451;
x83.up = 32.6030581071532;
x84.lo = 74.1748123438468; x84.up = 106.777870451;
x85.up = 32.6030581071532;
x86.lo = 74.1748123434975; x86.up = 106.777870452;
x87.up = 32.6030581085025;
x88.lo = 74.1748123434975; x88.up = 106.777870452;
x89.up = 32.6030581085025;
x90.lo = 74.1748123434975; x90.up = 106.777870452;
x91.up = 32.6030581085025;
x92.lo = -5; x92.up = 5;
x93.up = 0.64163;
x94.lo = -5; x94.up = 5;
x95.up = 0.64163;
x96.lo = -5; x96.up = 5;
x97.up = 0.64163;
x98.lo = -5; x98.up = 5;
x99.lo = -5; x99.up = 5;
x100.lo = -5; x100.up = 5;
x101.lo = -5; x101.up = 5;
x102.lo = -5; x102.up = 5;
x103.lo = -5; x103.up = 5;
x104.lo = -5; x104.up = 5;
x105.lo = -5; x105.up = 5;
x106.lo = -5; x106.up = 5;
x107.lo = -5; x107.up = 5;
x108.lo = -5; x108.up = 5;
x109.lo = -5; x109.up = 5;
x110.lo = -5; x110.up = 5;
x111.lo = -5; x111.up = 5;
x112.lo = -5; x112.up = 5;
x113.lo = -5; x113.up = 5;
x114.lo = -5; x114.up = 5;
x115.up = 5;
x116.lo = -5; x116.up = 5;
x117.lo = -5; x117.up = 5;
x118.up = 5;
x119.lo = -5; x119.up = 5;
x120.lo = -5; x120.up = 5;
x121.up = 5;
x122.lo = -5; x122.up = 5;
x123.lo = -5; x123.up = 5;
x124.lo = -5; x124.up = 5;
x125.lo = -5; x125.up = 5;
x126.lo = -5; x126.up = 5;
x127.lo = -5; x127.up = 5;
x128.lo = -5; x128.up = 5;
x129.lo = -5; x129.up = 5;
x130.lo = -5; x130.up = 5;
x131.lo = -5; x131.up = 5;
x132.lo = -5; x132.up = 5;
x133.lo = -5; x133.up = 5;
x134.up = 5;
x135.up = 5;
x136.lo = -5; x136.up = 5;
x137.lo = -5; x137.up = 5;
x138.lo = -5; x138.up = 5;
x139.up = 5;
x140.up = 5;
x141.lo = -5; x141.up = 5;
x142.lo = -5; x142.up = 5;
x143.lo = -5; x143.up = 5;
x144.up = 5;
x145.up = 5;
x146.lo = -5; x146.up = 5;
x147.lo = -5; x147.up = 5;
x148.lo = -5; x148.up = 5;
x149.lo = -5; x149.up = 5;
x150.lo = -5; x150.up = 5;
x151.lo = -5; x151.up = 5;
x152.lo = -5; x152.up = 5;
x153.up = 5;
x154.lo = -5; x154.up = 5;
x155.up = 5;
x156.lo = -5; x156.up = 5;
x157.up = 5;
x158.lo = -5; x158.up = 5;
x159.lo = -5; x159.up = 5;
x160.up = 0.429286;
x161.lo = -5; x161.up = 5;
x162.lo = -5; x162.up = 5;
x163.up = 0.429286;
x164.lo = -5; x164.up = 5;
x165.lo = -5; x165.up = 5;
x166.up = 0.429286;
x167.lo = -5; x167.up = 5;
x168.up = 5;
x169.lo = -5; x169.up = 5;
x170.up = 5;
x171.lo = -5; x171.up = 5;
x172.up = 5;
x173.lo = -5; x173.up = 5;
x174.lo = -5; x174.up = 5;
x175.lo = -5; x175.up = 5;
x176.up = 5;
x177.up = 5;
x178.up = 5;
x179.lo = -5; x179.up = 5;
x180.lo = -5; x180.up = 5;
x181.lo = -5; x181.up = 5;
x182.up = 5;
x183.up = 5;
x184.up = 5;
x185.fx = 6.3;
x186.lo = 5; x186.up = 10;
x187.lo = 5; x187.up = 10;
x188.lo = 5; x188.up = 10;
x189.lo = 5; x189.up = 10;
x190.lo = 5; x190.up = 10;
x191.fx = 4.6;
x192.up = 6;
x193.up = 6;
x194.up = 6;
x195.up = 6;
x196.up = 6;
x197.fx = 4.6;
x198.up = 6;
x199.up = 6;
x200.up = 6;
x201.up = 6;
x202.up = 6;
x203.fx = 10;
x204.up = 16.5;
x205.up = 16.5;
x206.up = 16.5;
x207.up = 16.5;
x208.up = 16.5;
x209.up = 0.045826;
x210.lo = 287.427397827187; x210.up = 413.764247971;
x211.up = 0.045826;
x212.up = 126.336850143813;
x213.up = 0.045826;
x214.lo = 287.427397827187; x214.up = 413.764247971;
x215.up = 0.091663;
x216.up = 126.336850143813;
x217.up = 0.091663;
x218.lo = 287.427397827187; x218.up = 413.764247971;
x219.up = 0.091663;
x220.up = 126.336850143813;
x221.up = 0.091663;
x222.lo = 0.8; x222.up = 1.2;
x223.up = 0.091663;
x224.lo = 148.299332771269; x224.up = 638.10455381568;
x225.up = 0.091663;
x226.up = 135.302691146811;
x227.up = 0.091663;
x228.lo = 0.8; x228.up = 1.2;
x229.up = 0.091663;
x230.lo = 148.299332771269; x230.up = 638.10455381568;
x231.up = 0.091663;
x232.up = 135.302691146811;
x233.up = 0.091663;
x234.lo = 0.8; x234.up = 1.2;
x235.up = 0.091663;
x236.lo = 148.299332771269; x236.up = 638.10455381568;
x237.up = 0.091663;
x238.up = 135.302691146811;
x239.up = 0.091663;
x240.lo = 0.8; x240.up = 1.2;
x241.up = 0.091663;
x242.lo = 148.299332771269; x242.up = 638.10455381568;
x243.up = 0.091663;
x244.up = 135.302691146811;
x245.up = 0.091663;
x246.lo = 0.8; x246.up = 1.2;
x247.up = 0.091663;
x248.lo = 148.299332771269; x248.up = 638.10455381568;
x249.up = 0.091663;
x250.up = 135.302691146811;
x251.up = 0.045826;
x252.lo = 0.8; x252.up = 1.2;
x253.up = 0.045826;
x254.lo = 148.299332771269; x254.up = 638.10455381568;
x255.up = 0.045826;
x256.up = 135.302691146811;
x257.up = 0.119163;
x258.lo = 0.8; x258.up = 1.2;
x259.up = 0.119163;
x260.lo = 148.299332771269; x260.up = 638.10455381568;
x261.up = 0.119163;
x262.up = 135.302691146811;
x263.up = 0.119163;
x264.lo = 0.8; x264.up = 1.2;
x265.up = 0.119163;
x266.lo = 148.299332771269; x266.up = 638.10455381568;
x267.up = 0.119163;
x268.up = 135.302691146811;
x269.up = 0.119163;
x270.lo = 0.8; x270.up = 1.2;
x271.up = 0.119163;
x272.lo = 148.299332771269; x272.up = 638.10455381568;
x273.up = 0.119163;
x274.up = 135.302691146811;
x275.up = 0.071797;
x276.lo = 0.8; x276.up = 1.2;
x277.up = 0.071797;
x278.lo = 148.299332771269; x278.up = 638.10455381568;
x279.up = 0.071797;
x280.up = 135.302691146811;
x281.lo = 305; x281.up = 310;
x282.lo = 305; x282.up = 310;
x283.lo = 305; x283.up = 310;
x284.lo = 240; x284.up = 246;
x285.lo = 240; x285.up = 246;
x286.lo = 240; x286.up = 246;
x287.lo = 240; x287.up = 246;
x288.lo = 240; x288.up = 246;
x289.lo = 240; x289.up = 246;
x290.lo = 243; x290.up = 259.5;
x291.lo = 243; x291.up = 259.5;
x292.lo = 243; x292.up = 259.5;
x293.up = 1000;
x294.up = 1000;
x295.lo = -232.35111544525; x295.up = 232.35111544525;
x296.up = 1000;
x297.up = 1000;
x298.lo = -232.35111544525; x298.up = 232.35111544525;
x299.up = 1000;
x300.up = 1000;
x301.lo = -232.35111544525; x301.up = 232.35111544525;
x302.up = 1000;
x303.lo = -103800.7251715; x303.up = 103800.7251715;
x304.up = 1000;
x305.lo = -103800.7251715; x305.up = 103800.7251715;
x306.up = 1000;
x307.lo = -103800.7251715; x307.up = 103800.7251715;
x308.up = 1000;
x309.lo = -22646.161845275; x309.up = 22646.161845275;
x310.up = 1000;
x311.lo = -22646.161845275; x311.up = 22646.161845275;
x312.up = 1000;
x313.lo = -22646.161845275; x313.up = 22646.161845275;
x314.up = 1000;
x315.up = 1000;
x316.lo = -1693.1005454625; x316.up = 1693.1005454625;
x317.up = 1000;
x318.up = 1000;
x319.lo = -1693.1005454625; x319.up = 1693.1005454625;
x320.up = 1000;
x321.up = 1000;
x322.lo = -1693.1005454625; x322.up = 1693.1005454625;
x323.up = 1000;
x324.up = 1000;
x325.lo = -1975.896081255; x325.up = 1975.896081255;
x326.up = 1000;
x327.up = 1000;
x328.lo = -1975.896081255; x328.up = 1975.896081255;
x329.up = 1000;
x330.up = 1000;
x331.lo = -1975.896081255; x331.up = 1975.896081255;
x332.lo = -35055.017651; x332.up = 35055.017651;
x333.lo = -35055.017651; x333.up = 35055.017651;
x334.lo = -35055.017651; x334.up = 35055.017651;
x335.lo = -987.9480406275; x335.up = 987.9480406275;
x336.lo = -987.9480406275; x336.up = 987.9480406275;
x337.lo = -987.9480406275; x337.up = 987.9480406275;
x338.lo = -1270.74357642; x338.up = 1270.74357642;
x339.lo = -1270.74357642; x339.up = 1270.74357642;
x340.lo = -1270.74357642; x340.up = 1270.74357642;
x341.lo = -186.06385100525; x341.up = 186.06385100525;
x342.lo = -186.06385100525; x342.up = 186.06385100525;
x343.lo = -186.06385100525; x343.up = 186.06385100525;
x344.lo = -186.06385100525; x344.up = 186.06385100525;
x345.lo = -186.06385100525; x345.up = 186.06385100525;
x346.lo = -186.06385100525; x346.up = 186.06385100525;
x347.lo = 214.9; x347.up = 1000;
x348.lo = -9303.19255025; x348.up = 9303.19255025;
x349.lo = 214.9; x349.up = 1000;
x350.lo = -9303.19255025; x350.up = 9303.19255025;
x351.lo = 214.9; x351.up = 1000;
x352.lo = -9303.19255025; x352.up = 9303.19255025;
x353.lo = 231.04; x353.up = 1000;
x354.lo = -14219.27742075; x354.up = 14219.27742075;
x355.lo = 231.04; x355.up = 1000;
x356.lo = -14219.27742075; x356.up = 14219.27742075;
x357.lo = 231.04; x357.up = 1000;
x358.lo = -14219.27742075; x358.up = 14219.27742075;
x359.up = 1000;
x360.up = 1000;
x361.lo = -1596.630932455; x361.up = 1596.630932455;
x362.up = 1000;
x363.up = 1000;
x364.lo = -1596.630932455; x364.up = 1596.630932455;
x365.up = 1000;
x366.up = 1000;
x367.lo = -1596.630932455; x367.up = 1596.630932455;
x368.up = 1000;
x369.lo = 300; x369.up = 1000;
x370.lo = -62.00958485375; x370.up = 62.00958485375;
x371.up = 1000;
x372.lo = 300; x372.up = 1000;
x373.lo = -62.00958485375; x373.up = 62.00958485375;
x374.up = 1000;
x375.lo = 300; x375.up = 1000;
x376.lo = -62.00958485375; x376.up = 62.00958485375;
x377.lo = -62.00958485375; x377.up = 62.00958485375;
x378.lo = -62.00958485375; x378.up = 62.00958485375;
x379.lo = -62.00958485375; x379.up = 62.00958485375;
x380.up = 1000;
x381.lo = -3.100479242675; x381.up = 3.100479242675;
x382.up = 1000;
x383.lo = -3.100479242675; x383.up = 3.100479242675;
x384.up = 1000;
x385.lo = -3.100479242675; x385.up = 3.100479242675;
x386.lo = -3.100479242675; x386.up = 3.100479242675;
x387.lo = -3.100479242675; x387.up = 3.100479242675;
x388.lo = -3.100479242675; x388.up = 3.100479242675;
x389.up = 1000;
x390.lo = 243; x390.up = 1000;
x391.lo = -138489.1922805; x391.up = 138489.1922805;
x392.up = 1000;
x393.lo = 243; x393.up = 1000;
x394.lo = -138489.1922805; x394.up = 138489.1922805;
x395.up = 1000;
x396.lo = 243; x396.up = 1000;
x397.lo = -138489.1922805; x397.up = 138489.1922805;
x398.up = 1000;
x399.lo = -138489.1922805; x399.up = 138489.1922805;
x400.up = 1000;
x401.lo = -138489.1922805; x401.up = 138489.1922805;
x402.up = 1000;
x403.lo = -138489.1922805; x403.up = 138489.1922805;
x404.lo = -1846.52256374; x404.up = 1846.52256374;
x405.lo = -1846.52256374; x405.up = 1846.52256374;
x406.lo = -1846.52256374; x406.up = 1846.52256374;
x407.up = 1000;
x408.lo = -538.866468715; x408.up = 538.866468715;
x409.up = 1000;
x410.lo = -538.866468715; x410.up = 538.866468715;
x411.up = 1000;
x412.lo = -538.866468715; x412.up = 538.866468715;
x413.up = 1000;
x414.lo = -259.21503776; x414.up = 259.21503776;
x415.up = 1000;
x416.lo = -259.21503776; x416.up = 259.21503776;
x417.up = 1000;
x418.lo = -259.21503776; x418.up = 259.21503776;
x419.fx = 34.1;
x420.lo = -34.1; x420.up = 1000;
x421.fx = 34.1;
x422.lo = -34.1; x422.up = 1000;
x423.fx = 34.1;
x424.lo = -34.1; x424.up = 1000;
x425.lo = -1000; x425.up = 1000;
x426.lo = -1000; x426.up = 1000;
x427.lo = -1000; x427.up = 1000;
x428.up = 1;
x429.up = 1;
x430.up = 1;
x431.up = 1;
x432.up = 1;
x433.up = 1;
x434.up = 1;
x435.up = 1;
x436.up = 1;
x437.up = 1;
x438.up = 1;
x439.up = 1;
x440.up = 1;
x441.up = 1;
x442.up = 1;
x443.up = 1;
x444.up = 1;
x445.up = 1;
x446.up = 1;
x447.up = 1;
x448.up = 1;
x449.up = 1;
x450.up = 1;
x451.up = 1;
x452.lo = 0.8; x452.up = 1.2;
x453.lo = 148.299332771269; x453.up = 638.10455381568;
x454.up = 135.302691146811;
x455.lo = 0.8; x455.up = 1.2;
x456.lo = 148.299332771269; x456.up = 638.10455381568;
x457.up = 135.302691146811;
x458.lo = 0.8; x458.up = 1.2;
x459.lo = 148.299332771269; x459.up = 638.10455381568;
x460.up = 135.302691146811;
x461.up = 46.5022459484905;
x462.up = 46.5022459484905;
x463.up = 46.5022459484905;
x464.up = 143.448141849487;
x465.up = 143.448141849487;
x466.up = 143.448141849487;
x467.up = 143.448141849487;
x468.up = 143.448141849487;
x469.up = 143.448141849487;
x470.up = 143.448141849487;
x471.up = 143.448141849487;
x472.up = 143.448141849487;
x473.up = 143.448141849487;
x474.up = 143.448141849487;
x475.up = 143.448141849487;
x476.up = 143.448141849487;
x477.up = 143.448141849487;
x478.up = 143.448141849487;
x479.up = 143.448141849487;
x480.up = 143.448141849487;
x481.up = 143.448141849487;
x482.up = 46.5022459484905;
x483.up = 46.5022459484905;
x484.up = 46.5022459484905;
x485.up = 31.205539800995;
x486.up = 31.205539800995;
x487.up = 31.205539800995;
x488.up = 31.205539800995;
x489.up = 31.205539800995;
x490.up = 31.205539800995;
x491.up = 31.205539800995;
x492.up = 31.205539800995;
x493.up = 31.205539800995;
x494.up = 18.8016762007756;
x495.up = 18.8016762007756;
x496.up = 18.8016762007756;

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: 2022-08-11 Git hash: f176bd52
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