MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance slay08h
Determine the optimal placement of a set of units with fixed width and length such that the Euclidean distance between their center point and a predefined "safety point" is minimized.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 76063.40500000 (ALPHAECP) 84960.21124000 (ANTIGONE) 84960.21233000 (BARON) 84960.21200000 (BONMIN) 82391.75373000 (COUENNE) 84960.21242000 (CPLEX) 84960.21242000 (GUROBI) 84960.21242000 (LINDO) 84960.21242000 (SCIP) 84960.21242000 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | SLay08H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBQP |
| #Variablesⓘ | 632 |
| #Binary Variablesⓘ | 112 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 16 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 72 |
| #Nonlinear Nonzeros in Objectiveⓘ | 16 |
| #Constraintsⓘ | 812 |
| #Linear Constraintsⓘ | 812 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 2240 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 16 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 16 |
| #Blocks in Hessian of Lagrangianⓘ | 16 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 4.0000e+02 |
| Infeasibility of initial pointⓘ | 4 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 813 141 112 560 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 633 521 112 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2313 2297 16 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,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,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,b465,b466,b467
,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505,b506
,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518,b519
,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531,b532
,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544,b545
,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558
,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
,b572,b573,b574,b575,b576,x577,x578,x579,x580,x581,x582,x583,x584
,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
,x624,x625,x626,x627,x628,x629,x630,x631,x632,objvar;
Positive Variables 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,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,x577,x578,x579,x580,x581,x582,x583,x584,x585,x586,x587
,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597,x598,x599,x600
,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610,x611,x612,x613
,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623,x624,x625,x626
,x627,x628,x629,x630,x631,x632;
Binary Variables b465,b466,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476
,b477,b478,b479,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489
,b490,b491,b492,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502
,b503,b504,b505,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515
,b516,b517,b518,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528
,b529,b530,b531,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541
,b542,b543,b544,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554
,b555,b556,b557,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567
,b568,b569,b570,b571,b572,b573,b574,b575,b576;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
,e806,e807,e808,e809,e810,e811,e812,e813;
e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x9)) + 390*(sqr((-10) + x2) + sqr((-15
) + x10)) + 240*(sqr((-7) + x3) + sqr((-9) + x11)) + 70*(sqr((-3) + x4) +
sqr((-3) + x12)) + 165*(sqr((-20) + x5) + sqr((-17) + x13)) + 100*(sqr((-
18) + x6) + sqr((-8) + x14)) + 200*(sqr((-30) + x7) + sqr((-20) + x15)) +
400*(sqr((-24) + x8) + sqr((-10) + x16))) - 300*x577 - 240*x578 - 210*x579
- 140*x580 - 300*x581 - 250*x582 - 300*x583 - 100*x584 - 150*x585
- 220*x586 - 200*x587 - 300*x588 - 290*x589 - 120*x590 - 300*x591
- 150*x592 - 150*x593 - 100*x594 - 100*x595 - 120*x596 - 180*x597
- 220*x598 - 130*x599 - 190*x600 - 110*x601 - 220*x602 - 140*x603
- 260*x604 - 300*x605 - 240*x606 - 210*x607 - 140*x608 - 300*x609
- 250*x610 - 300*x611 - 100*x612 - 150*x613 - 220*x614 - 200*x615
- 300*x616 - 290*x617 - 120*x618 - 300*x619 - 150*x620 - 150*x621
- 100*x622 - 100*x623 - 120*x624 - 180*x625 - 220*x626 - 130*x627
- 190*x628 - 110*x629 - 220*x630 - 140*x631 - 260*x632 + objvar =E= 0;
e2.. - x1 + x2 + x577 =G= 0;
e3.. - x1 + x3 + x578 =G= 0;
e4.. - x1 + x4 + x579 =G= 0;
e5.. - x1 + x5 + x580 =G= 0;
e6.. - x1 + x6 + x581 =G= 0;
e7.. - x1 + x7 + x582 =G= 0;
e8.. - x1 + x8 + x583 =G= 0;
e9.. - x2 + x3 + x584 =G= 0;
e10.. - x2 + x4 + x585 =G= 0;
e11.. - x2 + x5 + x586 =G= 0;
e12.. - x2 + x6 + x587 =G= 0;
e13.. - x2 + x7 + x588 =G= 0;
e14.. - x2 + x8 + x589 =G= 0;
e15.. - x3 + x4 + x590 =G= 0;
e16.. - x3 + x5 + x591 =G= 0;
e17.. - x3 + x6 + x592 =G= 0;
e18.. - x3 + x7 + x593 =G= 0;
e19.. - x3 + x8 + x594 =G= 0;
e20.. - x4 + x5 + x595 =G= 0;
e21.. - x4 + x6 + x596 =G= 0;
e22.. - x4 + x7 + x597 =G= 0;
e23.. - x4 + x8 + x598 =G= 0;
e24.. - x5 + x6 + x599 =G= 0;
e25.. - x5 + x7 + x600 =G= 0;
e26.. - x5 + x8 + x601 =G= 0;
e27.. - x6 + x7 + x602 =G= 0;
e28.. - x6 + x8 + x603 =G= 0;
e29.. - x7 + x8 + x604 =G= 0;
e30.. x1 - x2 + x577 =G= 0;
e31.. x1 - x3 + x578 =G= 0;
e32.. x1 - x4 + x579 =G= 0;
e33.. x1 - x5 + x580 =G= 0;
e34.. x1 - x6 + x581 =G= 0;
e35.. x1 - x7 + x582 =G= 0;
e36.. x1 - x8 + x583 =G= 0;
e37.. x2 - x3 + x584 =G= 0;
e38.. x2 - x4 + x585 =G= 0;
e39.. x2 - x5 + x586 =G= 0;
e40.. x2 - x6 + x587 =G= 0;
e41.. x2 - x7 + x588 =G= 0;
e42.. x2 - x8 + x589 =G= 0;
e43.. x3 - x4 + x590 =G= 0;
e44.. x3 - x5 + x591 =G= 0;
e45.. x3 - x6 + x592 =G= 0;
e46.. x3 - x7 + x593 =G= 0;
e47.. x3 - x8 + x594 =G= 0;
e48.. x4 - x5 + x595 =G= 0;
e49.. x4 - x6 + x596 =G= 0;
e50.. x4 - x7 + x597 =G= 0;
e51.. x4 - x8 + x598 =G= 0;
e52.. x5 - x6 + x599 =G= 0;
e53.. x5 - x7 + x600 =G= 0;
e54.. x5 - x8 + x601 =G= 0;
e55.. x6 - x7 + x602 =G= 0;
e56.. x6 - x8 + x603 =G= 0;
e57.. x7 - x8 + x604 =G= 0;
e58.. - x9 + x10 + x605 =G= 0;
e59.. - x9 + x11 + x606 =G= 0;
e60.. - x9 + x12 + x607 =G= 0;
e61.. - x9 + x13 + x608 =G= 0;
e62.. - x9 + x14 + x609 =G= 0;
e63.. - x9 + x15 + x610 =G= 0;
e64.. - x9 + x16 + x611 =G= 0;
e65.. - x10 + x11 + x612 =G= 0;
e66.. - x10 + x12 + x613 =G= 0;
e67.. - x10 + x13 + x614 =G= 0;
e68.. - x10 + x14 + x615 =G= 0;
e69.. - x10 + x15 + x616 =G= 0;
e70.. - x10 + x16 + x617 =G= 0;
e71.. - x11 + x12 + x618 =G= 0;
e72.. - x11 + x13 + x619 =G= 0;
e73.. - x11 + x14 + x620 =G= 0;
e74.. - x11 + x15 + x621 =G= 0;
e75.. - x11 + x16 + x622 =G= 0;
e76.. - x12 + x13 + x623 =G= 0;
e77.. - x12 + x14 + x624 =G= 0;
e78.. - x12 + x15 + x625 =G= 0;
e79.. - x12 + x16 + x626 =G= 0;
e80.. - x13 + x14 + x627 =G= 0;
e81.. - x13 + x15 + x628 =G= 0;
e82.. - x13 + x16 + x629 =G= 0;
e83.. - x14 + x15 + x630 =G= 0;
e84.. - x14 + x16 + x631 =G= 0;
e85.. - x15 + x16 + x632 =G= 0;
e86.. x9 - x10 + x605 =G= 0;
e87.. x9 - x11 + x606 =G= 0;
e88.. x9 - x12 + x607 =G= 0;
e89.. x9 - x13 + x608 =G= 0;
e90.. x9 - x14 + x609 =G= 0;
e91.. x9 - x15 + x610 =G= 0;
e92.. x9 - x16 + x611 =G= 0;
e93.. x10 - x11 + x612 =G= 0;
e94.. x10 - x12 + x613 =G= 0;
e95.. x10 - x13 + x614 =G= 0;
e96.. x10 - x14 + x615 =G= 0;
e97.. x10 - x15 + x616 =G= 0;
e98.. x10 - x16 + x617 =G= 0;
e99.. x11 - x12 + x618 =G= 0;
e100.. x11 - x13 + x619 =G= 0;
e101.. x11 - x14 + x620 =G= 0;
e102.. x11 - x15 + x621 =G= 0;
e103.. x11 - x16 + x622 =G= 0;
e104.. x12 - x13 + x623 =G= 0;
e105.. x12 - x14 + x624 =G= 0;
e106.. x12 - x15 + x625 =G= 0;
e107.. x12 - x16 + x626 =G= 0;
e108.. x13 - x14 + x627 =G= 0;
e109.. x13 - x15 + x628 =G= 0;
e110.. x13 - x16 + x629 =G= 0;
e111.. x14 - x15 + x630 =G= 0;
e112.. x14 - x16 + x631 =G= 0;
e113.. x15 - x16 + x632 =G= 0;
e114.. x1 - x17 - x24 - x31 - x38 =E= 0;
e115.. x1 - x18 - x25 - x32 - x39 =E= 0;
e116.. x1 - x19 - x26 - x33 - x40 =E= 0;
e117.. x1 - x20 - x27 - x34 - x41 =E= 0;
e118.. x1 - x21 - x28 - x35 - x42 =E= 0;
e119.. x1 - x22 - x29 - x36 - x43 =E= 0;
e120.. x1 - x23 - x30 - x37 - x44 =E= 0;
e121.. x2 - x45 - x52 - x59 - x66 =E= 0;
e122.. x2 - x46 - x53 - x60 - x67 =E= 0;
e123.. x2 - x47 - x54 - x61 - x68 =E= 0;
e124.. x2 - x48 - x55 - x62 - x69 =E= 0;
e125.. x2 - x49 - x56 - x63 - x70 =E= 0;
e126.. x2 - x50 - x57 - x64 - x71 =E= 0;
e127.. x2 - x51 - x58 - x65 - x72 =E= 0;
e128.. x3 - x73 - x80 - x87 - x94 =E= 0;
e129.. x3 - x74 - x81 - x88 - x95 =E= 0;
e130.. x3 - x75 - x82 - x89 - x96 =E= 0;
e131.. x3 - x76 - x83 - x90 - x97 =E= 0;
e132.. x3 - x77 - x84 - x91 - x98 =E= 0;
e133.. x3 - x78 - x85 - x92 - x99 =E= 0;
e134.. x3 - x79 - x86 - x93 - x100 =E= 0;
e135.. x4 - x101 - x108 - x115 - x122 =E= 0;
e136.. x4 - x102 - x109 - x116 - x123 =E= 0;
e137.. x4 - x103 - x110 - x117 - x124 =E= 0;
e138.. x4 - x104 - x111 - x118 - x125 =E= 0;
e139.. x4 - x105 - x112 - x119 - x126 =E= 0;
e140.. x4 - x106 - x113 - x120 - x127 =E= 0;
e141.. x4 - x107 - x114 - x121 - x128 =E= 0;
e142.. x5 - x129 - x136 - x143 - x150 =E= 0;
e143.. x5 - x130 - x137 - x144 - x151 =E= 0;
e144.. x5 - x131 - x138 - x145 - x152 =E= 0;
e145.. x5 - x132 - x139 - x146 - x153 =E= 0;
e146.. x5 - x133 - x140 - x147 - x154 =E= 0;
e147.. x5 - x134 - x141 - x148 - x155 =E= 0;
e148.. x5 - x135 - x142 - x149 - x156 =E= 0;
e149.. x6 - x157 - x164 - x171 - x178 =E= 0;
e150.. x6 - x158 - x165 - x172 - x179 =E= 0;
e151.. x6 - x159 - x166 - x173 - x180 =E= 0;
e152.. x6 - x160 - x167 - x174 - x181 =E= 0;
e153.. x6 - x161 - x168 - x175 - x182 =E= 0;
e154.. x6 - x162 - x169 - x176 - x183 =E= 0;
e155.. x6 - x163 - x170 - x177 - x184 =E= 0;
e156.. x7 - x185 - x192 - x199 - x206 =E= 0;
e157.. x7 - x186 - x193 - x200 - x207 =E= 0;
e158.. x7 - x187 - x194 - x201 - x208 =E= 0;
e159.. x7 - x188 - x195 - x202 - x209 =E= 0;
e160.. x7 - x189 - x196 - x203 - x210 =E= 0;
e161.. x7 - x190 - x197 - x204 - x211 =E= 0;
e162.. x7 - x191 - x198 - x205 - x212 =E= 0;
e163.. x8 - x213 - x220 - x227 - x234 =E= 0;
e164.. x8 - x214 - x221 - x228 - x235 =E= 0;
e165.. x8 - x215 - x222 - x229 - x236 =E= 0;
e166.. x8 - x216 - x223 - x230 - x237 =E= 0;
e167.. x8 - x217 - x224 - x231 - x238 =E= 0;
e168.. x8 - x218 - x225 - x232 - x239 =E= 0;
e169.. x8 - x219 - x226 - x233 - x240 =E= 0;
e170.. x9 - x241 - x248 - x255 - x262 =E= 0;
e171.. x9 - x242 - x249 - x256 - x263 =E= 0;
e172.. x9 - x243 - x250 - x257 - x264 =E= 0;
e173.. x9 - x244 - x251 - x258 - x265 =E= 0;
e174.. x9 - x245 - x252 - x259 - x266 =E= 0;
e175.. x9 - x246 - x253 - x260 - x267 =E= 0;
e176.. x9 - x247 - x254 - x261 - x268 =E= 0;
e177.. x10 - x269 - x276 - x283 - x290 =E= 0;
e178.. x10 - x270 - x277 - x284 - x291 =E= 0;
e179.. x10 - x271 - x278 - x285 - x292 =E= 0;
e180.. x10 - x272 - x279 - x286 - x293 =E= 0;
e181.. x10 - x273 - x280 - x287 - x294 =E= 0;
e182.. x10 - x274 - x281 - x288 - x295 =E= 0;
e183.. x10 - x275 - x282 - x289 - x296 =E= 0;
e184.. x11 - x297 - x304 - x311 - x318 =E= 0;
e185.. x11 - x298 - x305 - x312 - x319 =E= 0;
e186.. x11 - x299 - x306 - x313 - x320 =E= 0;
e187.. x11 - x300 - x307 - x314 - x321 =E= 0;
e188.. x11 - x301 - x308 - x315 - x322 =E= 0;
e189.. x11 - x302 - x309 - x316 - x323 =E= 0;
e190.. x11 - x303 - x310 - x317 - x324 =E= 0;
e191.. x12 - x325 - x332 - x339 - x346 =E= 0;
e192.. x12 - x326 - x333 - x340 - x347 =E= 0;
e193.. x12 - x327 - x334 - x341 - x348 =E= 0;
e194.. x12 - x328 - x335 - x342 - x349 =E= 0;
e195.. x12 - x329 - x336 - x343 - x350 =E= 0;
e196.. x12 - x330 - x337 - x344 - x351 =E= 0;
e197.. x12 - x331 - x338 - x345 - x352 =E= 0;
e198.. x13 - x353 - x360 - x367 - x374 =E= 0;
e199.. x13 - x354 - x361 - x368 - x375 =E= 0;
e200.. x13 - x355 - x362 - x369 - x376 =E= 0;
e201.. x13 - x356 - x363 - x370 - x377 =E= 0;
e202.. x13 - x357 - x364 - x371 - x378 =E= 0;
e203.. x13 - x358 - x365 - x372 - x379 =E= 0;
e204.. x13 - x359 - x366 - x373 - x380 =E= 0;
e205.. x14 - x381 - x388 - x395 - x402 =E= 0;
e206.. x14 - x382 - x389 - x396 - x403 =E= 0;
e207.. x14 - x383 - x390 - x397 - x404 =E= 0;
e208.. x14 - x384 - x391 - x398 - x405 =E= 0;
e209.. x14 - x385 - x392 - x399 - x406 =E= 0;
e210.. x14 - x386 - x393 - x400 - x407 =E= 0;
e211.. x14 - x387 - x394 - x401 - x408 =E= 0;
e212.. x15 - x409 - x416 - x423 - x430 =E= 0;
e213.. x15 - x410 - x417 - x424 - x431 =E= 0;
e214.. x15 - x411 - x418 - x425 - x432 =E= 0;
e215.. x15 - x412 - x419 - x426 - x433 =E= 0;
e216.. x15 - x413 - x420 - x427 - x434 =E= 0;
e217.. x15 - x414 - x421 - x428 - x435 =E= 0;
e218.. x15 - x415 - x422 - x429 - x436 =E= 0;
e219.. x16 - x437 - x444 - x451 - x458 =E= 0;
e220.. x16 - x438 - x445 - x452 - x459 =E= 0;
e221.. x16 - x439 - x446 - x453 - x460 =E= 0;
e222.. x16 - x440 - x447 - x454 - x461 =E= 0;
e223.. x16 - x441 - x448 - x455 - x462 =E= 0;
e224.. x16 - x442 - x449 - x456 - x463 =E= 0;
e225.. x16 - x443 - x450 - x457 - x464 =E= 0;
e226.. x17 - 37.5*b465 =L= 0;
e227.. x18 - 37.5*b466 =L= 0;
e228.. x19 - 37.5*b467 =L= 0;
e229.. x20 - 37.5*b468 =L= 0;
e230.. x21 - 37.5*b469 =L= 0;
e231.. x22 - 37.5*b470 =L= 0;
e232.. x23 - 37.5*b471 =L= 0;
e233.. x24 - 37.5*b493 =L= 0;
e234.. x25 - 37.5*b494 =L= 0;
e235.. x26 - 37.5*b495 =L= 0;
e236.. x27 - 37.5*b496 =L= 0;
e237.. x28 - 37.5*b497 =L= 0;
e238.. x29 - 37.5*b498 =L= 0;
e239.. x30 - 37.5*b499 =L= 0;
e240.. x31 - 37.5*b521 =L= 0;
e241.. x32 - 37.5*b522 =L= 0;
e242.. x33 - 37.5*b523 =L= 0;
e243.. x34 - 37.5*b524 =L= 0;
e244.. x35 - 37.5*b525 =L= 0;
e245.. x36 - 37.5*b526 =L= 0;
e246.. x37 - 37.5*b527 =L= 0;
e247.. x38 - 37.5*b549 =L= 0;
e248.. x39 - 37.5*b550 =L= 0;
e249.. x40 - 37.5*b551 =L= 0;
e250.. x41 - 37.5*b552 =L= 0;
e251.. x42 - 37.5*b553 =L= 0;
e252.. x43 - 37.5*b554 =L= 0;
e253.. x44 - 37.5*b555 =L= 0;
e254.. x45 - 37.5*b465 =L= 0;
e255.. x46 - 36.5*b472 =L= 0;
e256.. x47 - 36.5*b473 =L= 0;
e257.. x48 - 36.5*b474 =L= 0;
e258.. x49 - 36.5*b475 =L= 0;
e259.. x50 - 36.5*b476 =L= 0;
e260.. x51 - 36.5*b477 =L= 0;
e261.. x52 - 37.5*b493 =L= 0;
e262.. x53 - 36.5*b500 =L= 0;
e263.. x54 - 36.5*b501 =L= 0;
e264.. x55 - 36.5*b502 =L= 0;
e265.. x56 - 36.5*b503 =L= 0;
e266.. x57 - 36.5*b504 =L= 0;
e267.. x58 - 36.5*b505 =L= 0;
e268.. x59 - 37.5*b521 =L= 0;
e269.. x60 - 36.5*b528 =L= 0;
e270.. x61 - 36.5*b529 =L= 0;
e271.. x62 - 36.5*b530 =L= 0;
e272.. x63 - 36.5*b531 =L= 0;
e273.. x64 - 36.5*b532 =L= 0;
e274.. x65 - 36.5*b533 =L= 0;
e275.. x66 - 37.5*b549 =L= 0;
e276.. x67 - 36.5*b556 =L= 0;
e277.. x68 - 36.5*b557 =L= 0;
e278.. x69 - 36.5*b558 =L= 0;
e279.. x70 - 36.5*b559 =L= 0;
e280.. x71 - 36.5*b560 =L= 0;
e281.. x72 - 36.5*b561 =L= 0;
e282.. x73 - 37.5*b466 =L= 0;
e283.. x74 - 36.5*b472 =L= 0;
e284.. x75 - 38.5*b478 =L= 0;
e285.. x76 - 38.5*b479 =L= 0;
e286.. x77 - 38.5*b480 =L= 0;
e287.. x78 - 38.5*b481 =L= 0;
e288.. x79 - 38.5*b482 =L= 0;
e289.. x80 - 37.5*b494 =L= 0;
e290.. x81 - 36.5*b500 =L= 0;
e291.. x82 - 38.5*b506 =L= 0;
e292.. x83 - 38.5*b507 =L= 0;
e293.. x84 - 38.5*b508 =L= 0;
e294.. x85 - 38.5*b509 =L= 0;
e295.. x86 - 38.5*b510 =L= 0;
e296.. x87 - 37.5*b522 =L= 0;
e297.. x88 - 36.5*b528 =L= 0;
e298.. x89 - 38.5*b534 =L= 0;
e299.. x90 - 38.5*b535 =L= 0;
e300.. x91 - 38.5*b536 =L= 0;
e301.. x92 - 38.5*b537 =L= 0;
e302.. x93 - 38.5*b538 =L= 0;
e303.. x94 - 37.5*b550 =L= 0;
e304.. x95 - 36.5*b556 =L= 0;
e305.. x96 - 38.5*b562 =L= 0;
e306.. x97 - 38.5*b563 =L= 0;
e307.. x98 - 38.5*b564 =L= 0;
e308.. x99 - 38.5*b565 =L= 0;
e309.. x100 - 38.5*b566 =L= 0;
e310.. x101 - 37.5*b467 =L= 0;
e311.. x102 - 36.5*b473 =L= 0;
e312.. x103 - 38.5*b478 =L= 0;
e313.. x104 - 39*b483 =L= 0;
e314.. x105 - 39*b484 =L= 0;
e315.. x106 - 39*b485 =L= 0;
e316.. x107 - 39*b486 =L= 0;
e317.. x108 - 37.5*b495 =L= 0;
e318.. x109 - 36.5*b501 =L= 0;
e319.. x110 - 38.5*b506 =L= 0;
e320.. x111 - 39*b511 =L= 0;
e321.. x112 - 39*b512 =L= 0;
e322.. x113 - 39*b513 =L= 0;
e323.. x114 - 39*b514 =L= 0;
e324.. x115 - 37.5*b523 =L= 0;
e325.. x116 - 36.5*b529 =L= 0;
e326.. x117 - 38.5*b534 =L= 0;
e327.. x118 - 39*b539 =L= 0;
e328.. x119 - 39*b540 =L= 0;
e329.. x120 - 39*b541 =L= 0;
e330.. x121 - 39*b542 =L= 0;
e331.. x122 - 37.5*b551 =L= 0;
e332.. x123 - 36.5*b557 =L= 0;
e333.. x124 - 38.5*b562 =L= 0;
e334.. x125 - 39*b567 =L= 0;
e335.. x126 - 39*b568 =L= 0;
e336.. x127 - 39*b569 =L= 0;
e337.. x128 - 39*b570 =L= 0;
e338.. x129 - 37.5*b468 =L= 0;
e339.. x130 - 36.5*b474 =L= 0;
e340.. x131 - 38.5*b479 =L= 0;
e341.. x132 - 39*b483 =L= 0;
e342.. x133 - 38*b487 =L= 0;
e343.. x134 - 38*b488 =L= 0;
e344.. x135 - 38*b489 =L= 0;
e345.. x136 - 37.5*b496 =L= 0;
e346.. x137 - 36.5*b502 =L= 0;
e347.. x138 - 38.5*b507 =L= 0;
e348.. x139 - 39*b511 =L= 0;
e349.. x140 - 38*b515 =L= 0;
e350.. x141 - 38*b516 =L= 0;
e351.. x142 - 38*b517 =L= 0;
e352.. x143 - 37.5*b524 =L= 0;
e353.. x144 - 36.5*b530 =L= 0;
e354.. x145 - 38.5*b535 =L= 0;
e355.. x146 - 39*b539 =L= 0;
e356.. x147 - 38*b543 =L= 0;
e357.. x148 - 38*b544 =L= 0;
e358.. x149 - 38*b545 =L= 0;
e359.. x150 - 37.5*b552 =L= 0;
e360.. x151 - 36.5*b558 =L= 0;
e361.. x152 - 38.5*b563 =L= 0;
e362.. x153 - 39*b567 =L= 0;
e363.. x154 - 38*b571 =L= 0;
e364.. x155 - 38*b572 =L= 0;
e365.. x156 - 38*b573 =L= 0;
e366.. x157 - 37.5*b469 =L= 0;
e367.. x158 - 36.5*b475 =L= 0;
e368.. x159 - 38.5*b480 =L= 0;
e369.. x160 - 39*b484 =L= 0;
e370.. x161 - 38*b487 =L= 0;
e371.. x162 - 37.5*b490 =L= 0;
e372.. x163 - 37.5*b491 =L= 0;
e373.. x164 - 37.5*b497 =L= 0;
e374.. x165 - 36.5*b503 =L= 0;
e375.. x166 - 38.5*b508 =L= 0;
e376.. x167 - 39*b512 =L= 0;
e377.. x168 - 38*b515 =L= 0;
e378.. x169 - 37.5*b518 =L= 0;
e379.. x170 - 37.5*b519 =L= 0;
e380.. x171 - 37.5*b525 =L= 0;
e381.. x172 - 36.5*b531 =L= 0;
e382.. x173 - 38.5*b536 =L= 0;
e383.. x174 - 39*b540 =L= 0;
e384.. x175 - 38*b543 =L= 0;
e385.. x176 - 37.5*b546 =L= 0;
e386.. x177 - 37.5*b547 =L= 0;
e387.. x178 - 37.5*b553 =L= 0;
e388.. x179 - 36.5*b559 =L= 0;
e389.. x180 - 38.5*b564 =L= 0;
e390.. x181 - 39*b568 =L= 0;
e391.. x182 - 38*b571 =L= 0;
e392.. x183 - 37.5*b574 =L= 0;
e393.. x184 - 37.5*b575 =L= 0;
e394.. x185 - 37.5*b470 =L= 0;
e395.. x186 - 36.5*b476 =L= 0;
e396.. x187 - 38.5*b481 =L= 0;
e397.. x188 - 39*b485 =L= 0;
e398.. x189 - 38*b488 =L= 0;
e399.. x190 - 37.5*b490 =L= 0;
e400.. x191 - 36*b492 =L= 0;
e401.. x192 - 37.5*b498 =L= 0;
e402.. x193 - 36.5*b504 =L= 0;
e403.. x194 - 38.5*b509 =L= 0;
e404.. x195 - 39*b513 =L= 0;
e405.. x196 - 38*b516 =L= 0;
e406.. x197 - 37.5*b518 =L= 0;
e407.. x198 - 36*b520 =L= 0;
e408.. x199 - 37.5*b526 =L= 0;
e409.. x200 - 36.5*b532 =L= 0;
e410.. x201 - 38.5*b537 =L= 0;
e411.. x202 - 39*b541 =L= 0;
e412.. x203 - 38*b544 =L= 0;
e413.. x204 - 37.5*b546 =L= 0;
e414.. x205 - 36*b548 =L= 0;
e415.. x206 - 37.5*b554 =L= 0;
e416.. x207 - 36.5*b560 =L= 0;
e417.. x208 - 38.5*b565 =L= 0;
e418.. x209 - 39*b569 =L= 0;
e419.. x210 - 38*b572 =L= 0;
e420.. x211 - 37.5*b574 =L= 0;
e421.. x212 - 36*b576 =L= 0;
e422.. x213 - 37.5*b471 =L= 0;
e423.. x214 - 36.5*b477 =L= 0;
e424.. x215 - 38.5*b482 =L= 0;
e425.. x216 - 39*b486 =L= 0;
e426.. x217 - 38*b489 =L= 0;
e427.. x218 - 37.5*b491 =L= 0;
e428.. x219 - 36*b492 =L= 0;
e429.. x220 - 37.5*b499 =L= 0;
e430.. x221 - 36.5*b505 =L= 0;
e431.. x222 - 38.5*b510 =L= 0;
e432.. x223 - 39*b514 =L= 0;
e433.. x224 - 38*b517 =L= 0;
e434.. x225 - 37.5*b519 =L= 0;
e435.. x226 - 36*b520 =L= 0;
e436.. x227 - 37.5*b527 =L= 0;
e437.. x228 - 36.5*b533 =L= 0;
e438.. x229 - 38.5*b538 =L= 0;
e439.. x230 - 39*b542 =L= 0;
e440.. x231 - 38*b545 =L= 0;
e441.. x232 - 37.5*b547 =L= 0;
e442.. x233 - 36*b548 =L= 0;
e443.. x234 - 37.5*b555 =L= 0;
e444.. x235 - 36.5*b561 =L= 0;
e445.. x236 - 38.5*b566 =L= 0;
e446.. x237 - 39*b570 =L= 0;
e447.. x238 - 38*b573 =L= 0;
e448.. x239 - 37.5*b575 =L= 0;
e449.. x240 - 36*b576 =L= 0;
e450.. x241 - 37*b465 =L= 0;
e451.. x242 - 37*b466 =L= 0;
e452.. x243 - 37*b467 =L= 0;
e453.. x244 - 37*b468 =L= 0;
e454.. x245 - 37*b469 =L= 0;
e455.. x246 - 37*b470 =L= 0;
e456.. x247 - 37*b471 =L= 0;
e457.. x248 - 37*b493 =L= 0;
e458.. x249 - 37*b494 =L= 0;
e459.. x250 - 37*b495 =L= 0;
e460.. x251 - 37*b496 =L= 0;
e461.. x252 - 37*b497 =L= 0;
e462.. x253 - 37*b498 =L= 0;
e463.. x254 - 37*b499 =L= 0;
e464.. x255 - 37*b521 =L= 0;
e465.. x256 - 37*b522 =L= 0;
e466.. x257 - 37*b523 =L= 0;
e467.. x258 - 37*b524 =L= 0;
e468.. x259 - 37*b525 =L= 0;
e469.. x260 - 37*b526 =L= 0;
e470.. x261 - 37*b527 =L= 0;
e471.. x262 - 37*b549 =L= 0;
e472.. x263 - 37*b550 =L= 0;
e473.. x264 - 37*b551 =L= 0;
e474.. x265 - 37*b552 =L= 0;
e475.. x266 - 37*b553 =L= 0;
e476.. x267 - 37*b554 =L= 0;
e477.. x268 - 37*b555 =L= 0;
e478.. x269 - 37*b465 =L= 0;
e479.. x270 - 37.5*b472 =L= 0;
e480.. x271 - 37.5*b473 =L= 0;
e481.. x272 - 37.5*b474 =L= 0;
e482.. x273 - 37.5*b475 =L= 0;
e483.. x274 - 37.5*b476 =L= 0;
e484.. x275 - 37.5*b477 =L= 0;
e485.. x276 - 37*b493 =L= 0;
e486.. x277 - 37.5*b500 =L= 0;
e487.. x278 - 37.5*b501 =L= 0;
e488.. x279 - 37.5*b502 =L= 0;
e489.. x280 - 37.5*b503 =L= 0;
e490.. x281 - 37.5*b504 =L= 0;
e491.. x282 - 37.5*b505 =L= 0;
e492.. x283 - 37*b521 =L= 0;
e493.. x284 - 37.5*b528 =L= 0;
e494.. x285 - 37.5*b529 =L= 0;
e495.. x286 - 37.5*b530 =L= 0;
e496.. x287 - 37.5*b531 =L= 0;
e497.. x288 - 37.5*b532 =L= 0;
e498.. x289 - 37.5*b533 =L= 0;
e499.. x290 - 37*b549 =L= 0;
e500.. x291 - 37.5*b556 =L= 0;
e501.. x292 - 37.5*b557 =L= 0;
e502.. x293 - 37.5*b558 =L= 0;
e503.. x294 - 37.5*b559 =L= 0;
e504.. x295 - 37.5*b560 =L= 0;
e505.. x296 - 37.5*b561 =L= 0;
e506.. x297 - 37*b466 =L= 0;
e507.. x298 - 37.5*b472 =L= 0;
e508.. x299 - 38.5*b478 =L= 0;
e509.. x300 - 38.5*b479 =L= 0;
e510.. x301 - 38.5*b480 =L= 0;
e511.. x302 - 38.5*b481 =L= 0;
e512.. x303 - 38.5*b482 =L= 0;
e513.. x304 - 37*b494 =L= 0;
e514.. x305 - 37.5*b500 =L= 0;
e515.. x306 - 38.5*b506 =L= 0;
e516.. x307 - 38.5*b507 =L= 0;
e517.. x308 - 38.5*b508 =L= 0;
e518.. x309 - 38.5*b509 =L= 0;
e519.. x310 - 38.5*b510 =L= 0;
e520.. x311 - 37*b522 =L= 0;
e521.. x312 - 37.5*b528 =L= 0;
e522.. x313 - 38.5*b534 =L= 0;
e523.. x314 - 38.5*b535 =L= 0;
e524.. x315 - 38.5*b536 =L= 0;
e525.. x316 - 38.5*b537 =L= 0;
e526.. x317 - 38.5*b538 =L= 0;
e527.. x318 - 37*b550 =L= 0;
e528.. x319 - 37.5*b556 =L= 0;
e529.. x320 - 38.5*b562 =L= 0;
e530.. x321 - 38.5*b563 =L= 0;
e531.. x322 - 38.5*b564 =L= 0;
e532.. x323 - 38.5*b565 =L= 0;
e533.. x324 - 38.5*b566 =L= 0;
e534.. x325 - 37*b467 =L= 0;
e535.. x326 - 37.5*b473 =L= 0;
e536.. x327 - 38.5*b478 =L= 0;
e537.. x328 - 38.5*b483 =L= 0;
e538.. x329 - 38.5*b484 =L= 0;
e539.. x330 - 38.5*b485 =L= 0;
e540.. x331 - 38.5*b486 =L= 0;
e541.. x332 - 37*b495 =L= 0;
e542.. x333 - 37.5*b501 =L= 0;
e543.. x334 - 38.5*b506 =L= 0;
e544.. x335 - 38.5*b511 =L= 0;
e545.. x336 - 38.5*b512 =L= 0;
e546.. x337 - 38.5*b513 =L= 0;
e547.. x338 - 38.5*b514 =L= 0;
e548.. x339 - 37*b523 =L= 0;
e549.. x340 - 37.5*b529 =L= 0;
e550.. x341 - 38.5*b534 =L= 0;
e551.. x342 - 38.5*b539 =L= 0;
e552.. x343 - 38.5*b540 =L= 0;
e553.. x344 - 38.5*b541 =L= 0;
e554.. x345 - 38.5*b542 =L= 0;
e555.. x346 - 37*b551 =L= 0;
e556.. x347 - 37.5*b557 =L= 0;
e557.. x348 - 38.5*b562 =L= 0;
e558.. x349 - 38.5*b567 =L= 0;
e559.. x350 - 38.5*b568 =L= 0;
e560.. x351 - 38.5*b569 =L= 0;
e561.. x352 - 38.5*b570 =L= 0;
e562.. x353 - 37*b468 =L= 0;
e563.. x354 - 37.5*b474 =L= 0;
e564.. x355 - 38.5*b479 =L= 0;
e565.. x356 - 38.5*b483 =L= 0;
e566.. x357 - 38*b487 =L= 0;
e567.. x358 - 38*b488 =L= 0;
e568.. x359 - 38*b489 =L= 0;
e569.. x360 - 37*b496 =L= 0;
e570.. x361 - 37.5*b502 =L= 0;
e571.. x362 - 38.5*b507 =L= 0;
e572.. x363 - 38.5*b511 =L= 0;
e573.. x364 - 38*b515 =L= 0;
e574.. x365 - 38*b516 =L= 0;
e575.. x366 - 38*b517 =L= 0;
e576.. x367 - 37*b524 =L= 0;
e577.. x368 - 37.5*b530 =L= 0;
e578.. x369 - 38.5*b535 =L= 0;
e579.. x370 - 38.5*b539 =L= 0;
e580.. x371 - 38*b543 =L= 0;
e581.. x372 - 38*b544 =L= 0;
e582.. x373 - 38*b545 =L= 0;
e583.. x374 - 37*b552 =L= 0;
e584.. x375 - 37.5*b558 =L= 0;
e585.. x376 - 38.5*b563 =L= 0;
e586.. x377 - 38.5*b567 =L= 0;
e587.. x378 - 38*b571 =L= 0;
e588.. x379 - 38*b572 =L= 0;
e589.. x380 - 38*b573 =L= 0;
e590.. x381 - 37*b469 =L= 0;
e591.. x382 - 37.5*b475 =L= 0;
e592.. x383 - 38.5*b480 =L= 0;
e593.. x384 - 38.5*b484 =L= 0;
e594.. x385 - 38*b487 =L= 0;
e595.. x386 - 39*b490 =L= 0;
e596.. x387 - 39*b491 =L= 0;
e597.. x388 - 37*b497 =L= 0;
e598.. x389 - 37.5*b503 =L= 0;
e599.. x390 - 38.5*b508 =L= 0;
e600.. x391 - 38.5*b512 =L= 0;
e601.. x392 - 38*b515 =L= 0;
e602.. x393 - 39*b518 =L= 0;
e603.. x394 - 39*b519 =L= 0;
e604.. x395 - 37*b525 =L= 0;
e605.. x396 - 37.5*b531 =L= 0;
e606.. x397 - 38.5*b536 =L= 0;
e607.. x398 - 38.5*b540 =L= 0;
e608.. x399 - 38*b543 =L= 0;
e609.. x400 - 39*b546 =L= 0;
e610.. x401 - 39*b547 =L= 0;
e611.. x402 - 37*b553 =L= 0;
e612.. x403 - 37.5*b559 =L= 0;
e613.. x404 - 38.5*b564 =L= 0;
e614.. x405 - 38.5*b568 =L= 0;
e615.. x406 - 38*b571 =L= 0;
e616.. x407 - 39*b574 =L= 0;
e617.. x408 - 39*b575 =L= 0;
e618.. x409 - 37*b470 =L= 0;
e619.. x410 - 37.5*b476 =L= 0;
e620.. x411 - 38.5*b481 =L= 0;
e621.. x412 - 38.5*b485 =L= 0;
e622.. x413 - 38*b488 =L= 0;
e623.. x414 - 39*b490 =L= 0;
e624.. x415 - 37*b492 =L= 0;
e625.. x416 - 37*b498 =L= 0;
e626.. x417 - 37.5*b504 =L= 0;
e627.. x418 - 38.5*b509 =L= 0;
e628.. x419 - 38.5*b513 =L= 0;
e629.. x420 - 38*b516 =L= 0;
e630.. x421 - 39*b518 =L= 0;
e631.. x422 - 37*b520 =L= 0;
e632.. x423 - 37*b526 =L= 0;
e633.. x424 - 37.5*b532 =L= 0;
e634.. x425 - 38.5*b537 =L= 0;
e635.. x426 - 38.5*b541 =L= 0;
e636.. x427 - 38*b544 =L= 0;
e637.. x428 - 39*b546 =L= 0;
e638.. x429 - 37*b548 =L= 0;
e639.. x430 - 37*b554 =L= 0;
e640.. x431 - 37.5*b560 =L= 0;
e641.. x432 - 38.5*b565 =L= 0;
e642.. x433 - 38.5*b569 =L= 0;
e643.. x434 - 38*b572 =L= 0;
e644.. x435 - 39*b574 =L= 0;
e645.. x436 - 37*b576 =L= 0;
e646.. x437 - 37*b471 =L= 0;
e647.. x438 - 37.5*b477 =L= 0;
e648.. x439 - 38.5*b482 =L= 0;
e649.. x440 - 38.5*b486 =L= 0;
e650.. x441 - 38*b489 =L= 0;
e651.. x442 - 39*b491 =L= 0;
e652.. x443 - 37*b492 =L= 0;
e653.. x444 - 37*b499 =L= 0;
e654.. x445 - 37.5*b505 =L= 0;
e655.. x446 - 38.5*b510 =L= 0;
e656.. x447 - 38.5*b514 =L= 0;
e657.. x448 - 38*b517 =L= 0;
e658.. x449 - 39*b519 =L= 0;
e659.. x450 - 37*b520 =L= 0;
e660.. x451 - 37*b527 =L= 0;
e661.. x452 - 37.5*b533 =L= 0;
e662.. x453 - 38.5*b538 =L= 0;
e663.. x454 - 38.5*b542 =L= 0;
e664.. x455 - 38*b545 =L= 0;
e665.. x456 - 39*b547 =L= 0;
e666.. x457 - 37*b548 =L= 0;
e667.. x458 - 37*b555 =L= 0;
e668.. x459 - 37.5*b561 =L= 0;
e669.. x460 - 38.5*b566 =L= 0;
e670.. x461 - 38.5*b570 =L= 0;
e671.. x462 - 38*b573 =L= 0;
e672.. x463 - 39*b575 =L= 0;
e673.. x464 - 37*b576 =L= 0;
e674.. x17 - x45 + 6*b465 =L= 0;
e675.. x18 - x73 + 4*b466 =L= 0;
e676.. x19 - x101 + 3.5*b467 =L= 0;
e677.. x20 - x129 + 4.5*b468 =L= 0;
e678.. x21 - x157 + 5*b469 =L= 0;
e679.. x22 - x185 + 6.5*b470 =L= 0;
e680.. x23 - x213 + 4.5*b471 =L= 0;
e681.. x46 - x74 + 5*b472 =L= 0;
e682.. x47 - x102 + 4.5*b473 =L= 0;
e683.. x48 - x130 + 5.5*b474 =L= 0;
e684.. x49 - x158 + 6*b475 =L= 0;
e685.. x50 - x186 + 7.5*b476 =L= 0;
e686.. x51 - x214 + 5.5*b477 =L= 0;
e687.. x75 - x103 + 2.5*b478 =L= 0;
e688.. x76 - x131 + 3.5*b479 =L= 0;
e689.. x77 - x159 + 4*b480 =L= 0;
e690.. x78 - x187 + 5.5*b481 =L= 0;
e691.. x79 - x215 + 3.5*b482 =L= 0;
e692.. x104 - x132 + 3*b483 =L= 0;
e693.. x105 - x160 + 3.5*b484 =L= 0;
e694.. x106 - x188 + 5*b485 =L= 0;
e695.. x107 - x216 + 3*b486 =L= 0;
e696.. x133 - x161 + 4.5*b487 =L= 0;
e697.. x134 - x189 + 6*b488 =L= 0;
e698.. x135 - x217 + 4*b489 =L= 0;
e699.. x162 - x190 + 6.5*b490 =L= 0;
e700.. x163 - x218 + 4.5*b491 =L= 0;
e701.. x191 - x219 + 6*b492 =L= 0;
e702.. - x24 + x52 + 6*b493 =L= 0;
e703.. - x25 + x80 + 4*b494 =L= 0;
e704.. - x26 + x108 + 3.5*b495 =L= 0;
e705.. - x27 + x136 + 4.5*b496 =L= 0;
e706.. - x28 + x164 + 5*b497 =L= 0;
e707.. - x29 + x192 + 6.5*b498 =L= 0;
e708.. - x30 + x220 + 4.5*b499 =L= 0;
e709.. - x53 + x81 + 5*b500 =L= 0;
e710.. - x54 + x109 + 4.5*b501 =L= 0;
e711.. - x55 + x137 + 5.5*b502 =L= 0;
e712.. - x56 + x165 + 6*b503 =L= 0;
e713.. - x57 + x193 + 7.5*b504 =L= 0;
e714.. - x58 + x221 + 5.5*b505 =L= 0;
e715.. - x82 + x110 + 2.5*b506 =L= 0;
e716.. - x83 + x138 + 3.5*b507 =L= 0;
e717.. - x84 + x166 + 4*b508 =L= 0;
e718.. - x85 + x194 + 5.5*b509 =L= 0;
e719.. - x86 + x222 + 3.5*b510 =L= 0;
e720.. - x111 + x139 + 3*b511 =L= 0;
e721.. - x112 + x167 + 3.5*b512 =L= 0;
e722.. - x113 + x195 + 5*b513 =L= 0;
e723.. - x114 + x223 + 3*b514 =L= 0;
e724.. - x140 + x168 + 4.5*b515 =L= 0;
e725.. - x141 + x196 + 6*b516 =L= 0;
e726.. - x142 + x224 + 4*b517 =L= 0;
e727.. - x169 + x197 + 6.5*b518 =L= 0;
e728.. - x170 + x225 + 4.5*b519 =L= 0;
e729.. - x198 + x226 + 6*b520 =L= 0;
e730.. x255 - x283 + 5.5*b521 =L= 0;
e731.. x256 - x311 + 4.5*b522 =L= 0;
e732.. x257 - x339 + 4.5*b523 =L= 0;
e733.. x258 - x367 + 5*b524 =L= 0;
e734.. x259 - x395 + 4*b525 =L= 0;
e735.. x260 - x423 + 6*b526 =L= 0;
e736.. x261 - x451 + 6*b527 =L= 0;
e737.. x284 - x312 + 4*b528 =L= 0;
e738.. x285 - x340 + 4*b529 =L= 0;
e739.. x286 - x368 + 4.5*b530 =L= 0;
e740.. x287 - x396 + 3.5*b531 =L= 0;
e741.. x288 - x424 + 5.5*b532 =L= 0;
e742.. x289 - x452 + 5.5*b533 =L= 0;
e743.. x313 - x341 + 3*b534 =L= 0;
e744.. x314 - x369 + 3.5*b535 =L= 0;
e745.. x315 - x397 + 2.5*b536 =L= 0;
e746.. x316 - x425 + 4.5*b537 =L= 0;
e747.. x317 - x453 + 4.5*b538 =L= 0;
e748.. x342 - x370 + 3.5*b539 =L= 0;
e749.. x343 - x398 + 2.5*b540 =L= 0;
e750.. x344 - x426 + 4.5*b541 =L= 0;
e751.. x345 - x454 + 4.5*b542 =L= 0;
e752.. x371 - x399 + 3*b543 =L= 0;
e753.. x372 - x427 + 5*b544 =L= 0;
e754.. x373 - x455 + 5*b545 =L= 0;
e755.. x400 - x428 + 4*b546 =L= 0;
e756.. x401 - x456 + 4*b547 =L= 0;
e757.. x429 - x457 + 6*b548 =L= 0;
e758.. - x262 + x290 + 5.5*b549 =L= 0;
e759.. - x263 + x318 + 4.5*b550 =L= 0;
e760.. - x264 + x346 + 4.5*b551 =L= 0;
e761.. - x265 + x374 + 5*b552 =L= 0;
e762.. - x266 + x402 + 4*b553 =L= 0;
e763.. - x267 + x430 + 6*b554 =L= 0;
e764.. - x268 + x458 + 6*b555 =L= 0;
e765.. - x291 + x319 + 4*b556 =L= 0;
e766.. - x292 + x347 + 4*b557 =L= 0;
e767.. - x293 + x375 + 4.5*b558 =L= 0;
e768.. - x294 + x403 + 3.5*b559 =L= 0;
e769.. - x295 + x431 + 5.5*b560 =L= 0;
e770.. - x296 + x459 + 5.5*b561 =L= 0;
e771.. - x320 + x348 + 3*b562 =L= 0;
e772.. - x321 + x376 + 3.5*b563 =L= 0;
e773.. - x322 + x404 + 2.5*b564 =L= 0;
e774.. - x323 + x432 + 4.5*b565 =L= 0;
e775.. - x324 + x460 + 4.5*b566 =L= 0;
e776.. - x349 + x377 + 3.5*b567 =L= 0;
e777.. - x350 + x405 + 2.5*b568 =L= 0;
e778.. - x351 + x433 + 4.5*b569 =L= 0;
e779.. - x352 + x461 + 4.5*b570 =L= 0;
e780.. - x378 + x406 + 3*b571 =L= 0;
e781.. - x379 + x434 + 5*b572 =L= 0;
e782.. - x380 + x462 + 5*b573 =L= 0;
e783.. - x407 + x435 + 4*b574 =L= 0;
e784.. - x408 + x463 + 4*b575 =L= 0;
e785.. - x436 + x464 + 6*b576 =L= 0;
e786.. b465 + b493 + b521 + b549 =E= 1;
e787.. b466 + b494 + b522 + b550 =E= 1;
e788.. b467 + b495 + b523 + b551 =E= 1;
e789.. b468 + b496 + b524 + b552 =E= 1;
e790.. b469 + b497 + b525 + b553 =E= 1;
e791.. b470 + b498 + b526 + b554 =E= 1;
e792.. b471 + b499 + b527 + b555 =E= 1;
e793.. b472 + b500 + b528 + b556 =E= 1;
e794.. b473 + b501 + b529 + b557 =E= 1;
e795.. b474 + b502 + b530 + b558 =E= 1;
e796.. b475 + b503 + b531 + b559 =E= 1;
e797.. b476 + b504 + b532 + b560 =E= 1;
e798.. b477 + b505 + b533 + b561 =E= 1;
e799.. b478 + b506 + b534 + b562 =E= 1;
e800.. b479 + b507 + b535 + b563 =E= 1;
e801.. b480 + b508 + b536 + b564 =E= 1;
e802.. b481 + b509 + b537 + b565 =E= 1;
e803.. b482 + b510 + b538 + b566 =E= 1;
e804.. b483 + b511 + b539 + b567 =E= 1;
e805.. b484 + b512 + b540 + b568 =E= 1;
e806.. b485 + b513 + b541 + b569 =E= 1;
e807.. b486 + b514 + b542 + b570 =E= 1;
e808.. b487 + b515 + b543 + b571 =E= 1;
e809.. b488 + b516 + b544 + b572 =E= 1;
e810.. b489 + b517 + b545 + b573 =E= 1;
e811.. b490 + b518 + b546 + b574 =E= 1;
e812.. b491 + b519 + b547 + b575 =E= 1;
e813.. b492 + b520 + b548 + b576 =E= 1;
* set non-default bounds
x1.lo = 2.5; x1.up = 37.5;
x2.lo = 3.5; x2.up = 36.5;
x3.lo = 1.5; x3.up = 38.5;
x4.lo = 1; x4.up = 39;
x5.lo = 2; x5.up = 38;
x6.lo = 2.5; x6.up = 37.5;
x7.lo = 4; x7.up = 36;
x8.lo = 2; x8.up = 38;
x9.lo = 3; x9.up = 37;
x10.lo = 2.5; x10.up = 37.5;
x11.lo = 1.5; x11.up = 38.5;
x12.lo = 1.5; x12.up = 38.5;
x13.lo = 2; x13.up = 38;
x14.lo = 1; x14.up = 39;
x15.lo = 3; x15.up = 37;
x16.lo = 3; x16.up = 37;
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