MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance slay07h
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ⓘ | 60024.92400000 (ALPHAECP) 64748.82038000 (ANTIGONE) 64748.82523000 (BARON) 64748.82500000 (BONMIN) 64748.82433000 (COUENNE) 64748.82529000 (CPLEX) 64748.82529000 (GUROBI) 64748.82529000 (LINDO) 64748.82529000 (SCIP) 64748.82529000 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | SLay07H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBQP |
| #Variablesⓘ | 476 |
| #Binary Variablesⓘ | 84 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 14 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 56 |
| #Nonlinear Nonzeros in Objectiveⓘ | 14 |
| #Constraintsⓘ | 609 |
| #Linear Constraintsⓘ | 609 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 1680 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 14 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 14 |
| #Blocks in Hessian of Lagrangianⓘ | 14 |
| 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ⓘ | 3.9000e+02 |
| Infeasibility of initial pointⓘ | 4 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 610 106 84 420 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 477 393 84 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1737 1723 14 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
,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375,b376
,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388,b389
,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401,b402
,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415
,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428
,b429,b430,b431,b432,b433,b434,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,objvar;
Positive Variables 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,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;
Binary Variables b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
,b428,b429,b430,b431,b432,b433,b434;
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;
e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x8)) + 390*(sqr((-10) + x2) + sqr((-15
) + x9)) + 240*(sqr((-7) + x3) + sqr((-9) + x10)) + 70*(sqr((-3) + x4) +
sqr((-3) + x11)) + 165*(sqr((-20) + x5) + sqr((-17) + x12)) + 100*(sqr((-
18) + x6) + sqr((-8) + x13)) + 200*(sqr((-30) + x7) + sqr((-20) + x14)))
- 300*x435 - 240*x436 - 210*x437 - 140*x438 - 300*x439 - 250*x440
- 100*x441 - 150*x442 - 220*x443 - 200*x444 - 300*x445 - 120*x446
- 300*x447 - 150*x448 - 150*x449 - 100*x450 - 120*x451 - 180*x452
- 130*x453 - 190*x454 - 220*x455 - 300*x456 - 240*x457 - 210*x458
- 140*x459 - 300*x460 - 250*x461 - 100*x462 - 150*x463 - 220*x464
- 200*x465 - 300*x466 - 120*x467 - 300*x468 - 150*x469 - 150*x470
- 100*x471 - 120*x472 - 180*x473 - 130*x474 - 190*x475 - 220*x476
+ objvar =E= 0;
e2.. - x1 + x2 + x435 =G= 0;
e3.. - x1 + x3 + x436 =G= 0;
e4.. - x1 + x4 + x437 =G= 0;
e5.. - x1 + x5 + x438 =G= 0;
e6.. - x1 + x6 + x439 =G= 0;
e7.. - x1 + x7 + x440 =G= 0;
e8.. - x2 + x3 + x441 =G= 0;
e9.. - x2 + x4 + x442 =G= 0;
e10.. - x2 + x5 + x443 =G= 0;
e11.. - x2 + x6 + x444 =G= 0;
e12.. - x2 + x7 + x445 =G= 0;
e13.. - x3 + x4 + x446 =G= 0;
e14.. - x3 + x5 + x447 =G= 0;
e15.. - x3 + x6 + x448 =G= 0;
e16.. - x3 + x7 + x449 =G= 0;
e17.. - x4 + x5 + x450 =G= 0;
e18.. - x4 + x6 + x451 =G= 0;
e19.. - x4 + x7 + x452 =G= 0;
e20.. - x5 + x6 + x453 =G= 0;
e21.. - x5 + x7 + x454 =G= 0;
e22.. - x6 + x7 + x455 =G= 0;
e23.. x1 - x2 + x435 =G= 0;
e24.. x1 - x3 + x436 =G= 0;
e25.. x1 - x4 + x437 =G= 0;
e26.. x1 - x5 + x438 =G= 0;
e27.. x1 - x6 + x439 =G= 0;
e28.. x1 - x7 + x440 =G= 0;
e29.. x2 - x3 + x441 =G= 0;
e30.. x2 - x4 + x442 =G= 0;
e31.. x2 - x5 + x443 =G= 0;
e32.. x2 - x6 + x444 =G= 0;
e33.. x2 - x7 + x445 =G= 0;
e34.. x3 - x4 + x446 =G= 0;
e35.. x3 - x5 + x447 =G= 0;
e36.. x3 - x6 + x448 =G= 0;
e37.. x3 - x7 + x449 =G= 0;
e38.. x4 - x5 + x450 =G= 0;
e39.. x4 - x6 + x451 =G= 0;
e40.. x4 - x7 + x452 =G= 0;
e41.. x5 - x6 + x453 =G= 0;
e42.. x5 - x7 + x454 =G= 0;
e43.. x6 - x7 + x455 =G= 0;
e44.. - x8 + x9 + x456 =G= 0;
e45.. - x8 + x10 + x457 =G= 0;
e46.. - x8 + x11 + x458 =G= 0;
e47.. - x8 + x12 + x459 =G= 0;
e48.. - x8 + x13 + x460 =G= 0;
e49.. - x8 + x14 + x461 =G= 0;
e50.. - x9 + x10 + x462 =G= 0;
e51.. - x9 + x11 + x463 =G= 0;
e52.. - x9 + x12 + x464 =G= 0;
e53.. - x9 + x13 + x465 =G= 0;
e54.. - x9 + x14 + x466 =G= 0;
e55.. - x10 + x11 + x467 =G= 0;
e56.. - x10 + x12 + x468 =G= 0;
e57.. - x10 + x13 + x469 =G= 0;
e58.. - x10 + x14 + x470 =G= 0;
e59.. - x11 + x12 + x471 =G= 0;
e60.. - x11 + x13 + x472 =G= 0;
e61.. - x11 + x14 + x473 =G= 0;
e62.. - x12 + x13 + x474 =G= 0;
e63.. - x12 + x14 + x475 =G= 0;
e64.. - x13 + x14 + x476 =G= 0;
e65.. x8 - x9 + x456 =G= 0;
e66.. x8 - x10 + x457 =G= 0;
e67.. x8 - x11 + x458 =G= 0;
e68.. x8 - x12 + x459 =G= 0;
e69.. x8 - x13 + x460 =G= 0;
e70.. x8 - x14 + x461 =G= 0;
e71.. x9 - x10 + x462 =G= 0;
e72.. x9 - x11 + x463 =G= 0;
e73.. x9 - x12 + x464 =G= 0;
e74.. x9 - x13 + x465 =G= 0;
e75.. x9 - x14 + x466 =G= 0;
e76.. x10 - x11 + x467 =G= 0;
e77.. x10 - x12 + x468 =G= 0;
e78.. x10 - x13 + x469 =G= 0;
e79.. x10 - x14 + x470 =G= 0;
e80.. x11 - x12 + x471 =G= 0;
e81.. x11 - x13 + x472 =G= 0;
e82.. x11 - x14 + x473 =G= 0;
e83.. x12 - x13 + x474 =G= 0;
e84.. x12 - x14 + x475 =G= 0;
e85.. x13 - x14 + x476 =G= 0;
e86.. x1 - x15 - x21 - x27 - x33 =E= 0;
e87.. x1 - x16 - x22 - x28 - x34 =E= 0;
e88.. x1 - x17 - x23 - x29 - x35 =E= 0;
e89.. x1 - x18 - x24 - x30 - x36 =E= 0;
e90.. x1 - x19 - x25 - x31 - x37 =E= 0;
e91.. x1 - x20 - x26 - x32 - x38 =E= 0;
e92.. x2 - x39 - x45 - x51 - x57 =E= 0;
e93.. x2 - x40 - x46 - x52 - x58 =E= 0;
e94.. x2 - x41 - x47 - x53 - x59 =E= 0;
e95.. x2 - x42 - x48 - x54 - x60 =E= 0;
e96.. x2 - x43 - x49 - x55 - x61 =E= 0;
e97.. x2 - x44 - x50 - x56 - x62 =E= 0;
e98.. x3 - x63 - x69 - x75 - x81 =E= 0;
e99.. x3 - x64 - x70 - x76 - x82 =E= 0;
e100.. x3 - x65 - x71 - x77 - x83 =E= 0;
e101.. x3 - x66 - x72 - x78 - x84 =E= 0;
e102.. x3 - x67 - x73 - x79 - x85 =E= 0;
e103.. x3 - x68 - x74 - x80 - x86 =E= 0;
e104.. x4 - x87 - x93 - x99 - x105 =E= 0;
e105.. x4 - x88 - x94 - x100 - x106 =E= 0;
e106.. x4 - x89 - x95 - x101 - x107 =E= 0;
e107.. x4 - x90 - x96 - x102 - x108 =E= 0;
e108.. x4 - x91 - x97 - x103 - x109 =E= 0;
e109.. x4 - x92 - x98 - x104 - x110 =E= 0;
e110.. x5 - x111 - x117 - x123 - x129 =E= 0;
e111.. x5 - x112 - x118 - x124 - x130 =E= 0;
e112.. x5 - x113 - x119 - x125 - x131 =E= 0;
e113.. x5 - x114 - x120 - x126 - x132 =E= 0;
e114.. x5 - x115 - x121 - x127 - x133 =E= 0;
e115.. x5 - x116 - x122 - x128 - x134 =E= 0;
e116.. x6 - x135 - x141 - x147 - x153 =E= 0;
e117.. x6 - x136 - x142 - x148 - x154 =E= 0;
e118.. x6 - x137 - x143 - x149 - x155 =E= 0;
e119.. x6 - x138 - x144 - x150 - x156 =E= 0;
e120.. x6 - x139 - x145 - x151 - x157 =E= 0;
e121.. x6 - x140 - x146 - x152 - x158 =E= 0;
e122.. x7 - x159 - x165 - x171 - x177 =E= 0;
e123.. x7 - x160 - x166 - x172 - x178 =E= 0;
e124.. x7 - x161 - x167 - x173 - x179 =E= 0;
e125.. x7 - x162 - x168 - x174 - x180 =E= 0;
e126.. x7 - x163 - x169 - x175 - x181 =E= 0;
e127.. x7 - x164 - x170 - x176 - x182 =E= 0;
e128.. x8 - x183 - x189 - x195 - x201 =E= 0;
e129.. x8 - x184 - x190 - x196 - x202 =E= 0;
e130.. x8 - x185 - x191 - x197 - x203 =E= 0;
e131.. x8 - x186 - x192 - x198 - x204 =E= 0;
e132.. x8 - x187 - x193 - x199 - x205 =E= 0;
e133.. x8 - x188 - x194 - x200 - x206 =E= 0;
e134.. x9 - x207 - x213 - x219 - x225 =E= 0;
e135.. x9 - x208 - x214 - x220 - x226 =E= 0;
e136.. x9 - x209 - x215 - x221 - x227 =E= 0;
e137.. x9 - x210 - x216 - x222 - x228 =E= 0;
e138.. x9 - x211 - x217 - x223 - x229 =E= 0;
e139.. x9 - x212 - x218 - x224 - x230 =E= 0;
e140.. x10 - x231 - x237 - x243 - x249 =E= 0;
e141.. x10 - x232 - x238 - x244 - x250 =E= 0;
e142.. x10 - x233 - x239 - x245 - x251 =E= 0;
e143.. x10 - x234 - x240 - x246 - x252 =E= 0;
e144.. x10 - x235 - x241 - x247 - x253 =E= 0;
e145.. x10 - x236 - x242 - x248 - x254 =E= 0;
e146.. x11 - x255 - x261 - x267 - x273 =E= 0;
e147.. x11 - x256 - x262 - x268 - x274 =E= 0;
e148.. x11 - x257 - x263 - x269 - x275 =E= 0;
e149.. x11 - x258 - x264 - x270 - x276 =E= 0;
e150.. x11 - x259 - x265 - x271 - x277 =E= 0;
e151.. x11 - x260 - x266 - x272 - x278 =E= 0;
e152.. x12 - x279 - x285 - x291 - x297 =E= 0;
e153.. x12 - x280 - x286 - x292 - x298 =E= 0;
e154.. x12 - x281 - x287 - x293 - x299 =E= 0;
e155.. x12 - x282 - x288 - x294 - x300 =E= 0;
e156.. x12 - x283 - x289 - x295 - x301 =E= 0;
e157.. x12 - x284 - x290 - x296 - x302 =E= 0;
e158.. x13 - x303 - x309 - x315 - x321 =E= 0;
e159.. x13 - x304 - x310 - x316 - x322 =E= 0;
e160.. x13 - x305 - x311 - x317 - x323 =E= 0;
e161.. x13 - x306 - x312 - x318 - x324 =E= 0;
e162.. x13 - x307 - x313 - x319 - x325 =E= 0;
e163.. x13 - x308 - x314 - x320 - x326 =E= 0;
e164.. x14 - x327 - x333 - x339 - x345 =E= 0;
e165.. x14 - x328 - x334 - x340 - x346 =E= 0;
e166.. x14 - x329 - x335 - x341 - x347 =E= 0;
e167.. x14 - x330 - x336 - x342 - x348 =E= 0;
e168.. x14 - x331 - x337 - x343 - x349 =E= 0;
e169.. x14 - x332 - x338 - x344 - x350 =E= 0;
e170.. x15 - 37.5*b351 =L= 0;
e171.. x16 - 37.5*b352 =L= 0;
e172.. x17 - 37.5*b353 =L= 0;
e173.. x18 - 37.5*b354 =L= 0;
e174.. x19 - 37.5*b355 =L= 0;
e175.. x20 - 37.5*b356 =L= 0;
e176.. x21 - 37.5*b372 =L= 0;
e177.. x22 - 37.5*b373 =L= 0;
e178.. x23 - 37.5*b374 =L= 0;
e179.. x24 - 37.5*b375 =L= 0;
e180.. x25 - 37.5*b376 =L= 0;
e181.. x26 - 37.5*b377 =L= 0;
e182.. x27 - 37.5*b393 =L= 0;
e183.. x28 - 37.5*b394 =L= 0;
e184.. x29 - 37.5*b395 =L= 0;
e185.. x30 - 37.5*b396 =L= 0;
e186.. x31 - 37.5*b397 =L= 0;
e187.. x32 - 37.5*b398 =L= 0;
e188.. x33 - 37.5*b414 =L= 0;
e189.. x34 - 37.5*b415 =L= 0;
e190.. x35 - 37.5*b416 =L= 0;
e191.. x36 - 37.5*b417 =L= 0;
e192.. x37 - 37.5*b418 =L= 0;
e193.. x38 - 37.5*b419 =L= 0;
e194.. x39 - 37.5*b351 =L= 0;
e195.. x40 - 36.5*b357 =L= 0;
e196.. x41 - 36.5*b358 =L= 0;
e197.. x42 - 36.5*b359 =L= 0;
e198.. x43 - 36.5*b360 =L= 0;
e199.. x44 - 36.5*b361 =L= 0;
e200.. x45 - 37.5*b372 =L= 0;
e201.. x46 - 36.5*b378 =L= 0;
e202.. x47 - 36.5*b379 =L= 0;
e203.. x48 - 36.5*b380 =L= 0;
e204.. x49 - 36.5*b381 =L= 0;
e205.. x50 - 36.5*b382 =L= 0;
e206.. x51 - 37.5*b393 =L= 0;
e207.. x52 - 36.5*b399 =L= 0;
e208.. x53 - 36.5*b400 =L= 0;
e209.. x54 - 36.5*b401 =L= 0;
e210.. x55 - 36.5*b402 =L= 0;
e211.. x56 - 36.5*b403 =L= 0;
e212.. x57 - 37.5*b414 =L= 0;
e213.. x58 - 36.5*b420 =L= 0;
e214.. x59 - 36.5*b421 =L= 0;
e215.. x60 - 36.5*b422 =L= 0;
e216.. x61 - 36.5*b423 =L= 0;
e217.. x62 - 36.5*b424 =L= 0;
e218.. x63 - 37.5*b352 =L= 0;
e219.. x64 - 36.5*b357 =L= 0;
e220.. x65 - 38.5*b362 =L= 0;
e221.. x66 - 38.5*b363 =L= 0;
e222.. x67 - 38.5*b364 =L= 0;
e223.. x68 - 38.5*b365 =L= 0;
e224.. x69 - 37.5*b373 =L= 0;
e225.. x70 - 36.5*b378 =L= 0;
e226.. x71 - 38.5*b383 =L= 0;
e227.. x72 - 38.5*b384 =L= 0;
e228.. x73 - 38.5*b385 =L= 0;
e229.. x74 - 38.5*b386 =L= 0;
e230.. x75 - 37.5*b394 =L= 0;
e231.. x76 - 36.5*b399 =L= 0;
e232.. x77 - 38.5*b404 =L= 0;
e233.. x78 - 38.5*b405 =L= 0;
e234.. x79 - 38.5*b406 =L= 0;
e235.. x80 - 38.5*b407 =L= 0;
e236.. x81 - 37.5*b415 =L= 0;
e237.. x82 - 36.5*b420 =L= 0;
e238.. x83 - 38.5*b425 =L= 0;
e239.. x84 - 38.5*b426 =L= 0;
e240.. x85 - 38.5*b427 =L= 0;
e241.. x86 - 38.5*b428 =L= 0;
e242.. x87 - 37.5*b353 =L= 0;
e243.. x88 - 36.5*b358 =L= 0;
e244.. x89 - 38.5*b362 =L= 0;
e245.. x90 - 39*b366 =L= 0;
e246.. x91 - 39*b367 =L= 0;
e247.. x92 - 39*b368 =L= 0;
e248.. x93 - 37.5*b374 =L= 0;
e249.. x94 - 36.5*b379 =L= 0;
e250.. x95 - 38.5*b383 =L= 0;
e251.. x96 - 39*b387 =L= 0;
e252.. x97 - 39*b388 =L= 0;
e253.. x98 - 39*b389 =L= 0;
e254.. x99 - 37.5*b395 =L= 0;
e255.. x100 - 36.5*b400 =L= 0;
e256.. x101 - 38.5*b404 =L= 0;
e257.. x102 - 39*b408 =L= 0;
e258.. x103 - 39*b409 =L= 0;
e259.. x104 - 39*b410 =L= 0;
e260.. x105 - 37.5*b416 =L= 0;
e261.. x106 - 36.5*b421 =L= 0;
e262.. x107 - 38.5*b425 =L= 0;
e263.. x108 - 39*b429 =L= 0;
e264.. x109 - 39*b430 =L= 0;
e265.. x110 - 39*b431 =L= 0;
e266.. x111 - 37.5*b354 =L= 0;
e267.. x112 - 36.5*b359 =L= 0;
e268.. x113 - 38.5*b363 =L= 0;
e269.. x114 - 39*b366 =L= 0;
e270.. x115 - 38*b369 =L= 0;
e271.. x116 - 38*b370 =L= 0;
e272.. x117 - 37.5*b375 =L= 0;
e273.. x118 - 36.5*b380 =L= 0;
e274.. x119 - 38.5*b384 =L= 0;
e275.. x120 - 39*b387 =L= 0;
e276.. x121 - 38*b390 =L= 0;
e277.. x122 - 38*b391 =L= 0;
e278.. x123 - 37.5*b396 =L= 0;
e279.. x124 - 36.5*b401 =L= 0;
e280.. x125 - 38.5*b405 =L= 0;
e281.. x126 - 39*b408 =L= 0;
e282.. x127 - 38*b411 =L= 0;
e283.. x128 - 38*b412 =L= 0;
e284.. x129 - 37.5*b417 =L= 0;
e285.. x130 - 36.5*b422 =L= 0;
e286.. x131 - 38.5*b426 =L= 0;
e287.. x132 - 39*b429 =L= 0;
e288.. x133 - 38*b432 =L= 0;
e289.. x134 - 38*b433 =L= 0;
e290.. x135 - 37.5*b355 =L= 0;
e291.. x136 - 36.5*b360 =L= 0;
e292.. x137 - 38.5*b364 =L= 0;
e293.. x138 - 39*b367 =L= 0;
e294.. x139 - 38*b369 =L= 0;
e295.. x140 - 37.5*b371 =L= 0;
e296.. x141 - 37.5*b376 =L= 0;
e297.. x142 - 36.5*b381 =L= 0;
e298.. x143 - 38.5*b385 =L= 0;
e299.. x144 - 39*b388 =L= 0;
e300.. x145 - 38*b390 =L= 0;
e301.. x146 - 37.5*b392 =L= 0;
e302.. x147 - 37.5*b397 =L= 0;
e303.. x148 - 36.5*b402 =L= 0;
e304.. x149 - 38.5*b406 =L= 0;
e305.. x150 - 39*b409 =L= 0;
e306.. x151 - 38*b411 =L= 0;
e307.. x152 - 37.5*b413 =L= 0;
e308.. x153 - 37.5*b418 =L= 0;
e309.. x154 - 36.5*b423 =L= 0;
e310.. x155 - 38.5*b427 =L= 0;
e311.. x156 - 39*b430 =L= 0;
e312.. x157 - 38*b432 =L= 0;
e313.. x158 - 37.5*b434 =L= 0;
e314.. x159 - 37.5*b356 =L= 0;
e315.. x160 - 36.5*b361 =L= 0;
e316.. x161 - 38.5*b365 =L= 0;
e317.. x162 - 39*b368 =L= 0;
e318.. x163 - 38*b370 =L= 0;
e319.. x164 - 37.5*b371 =L= 0;
e320.. x165 - 37.5*b377 =L= 0;
e321.. x166 - 36.5*b382 =L= 0;
e322.. x167 - 38.5*b386 =L= 0;
e323.. x168 - 39*b389 =L= 0;
e324.. x169 - 38*b391 =L= 0;
e325.. x170 - 37.5*b392 =L= 0;
e326.. x171 - 37.5*b398 =L= 0;
e327.. x172 - 36.5*b403 =L= 0;
e328.. x173 - 38.5*b407 =L= 0;
e329.. x174 - 39*b410 =L= 0;
e330.. x175 - 38*b412 =L= 0;
e331.. x176 - 37.5*b413 =L= 0;
e332.. x177 - 37.5*b419 =L= 0;
e333.. x178 - 36.5*b424 =L= 0;
e334.. x179 - 38.5*b428 =L= 0;
e335.. x180 - 39*b431 =L= 0;
e336.. x181 - 38*b433 =L= 0;
e337.. x182 - 37.5*b434 =L= 0;
e338.. x183 - 37*b351 =L= 0;
e339.. x184 - 37*b352 =L= 0;
e340.. x185 - 37*b353 =L= 0;
e341.. x186 - 37*b354 =L= 0;
e342.. x187 - 37*b355 =L= 0;
e343.. x188 - 37*b356 =L= 0;
e344.. x189 - 37*b372 =L= 0;
e345.. x190 - 37*b373 =L= 0;
e346.. x191 - 37*b374 =L= 0;
e347.. x192 - 37*b375 =L= 0;
e348.. x193 - 37*b376 =L= 0;
e349.. x194 - 37*b377 =L= 0;
e350.. x195 - 37*b393 =L= 0;
e351.. x196 - 37*b394 =L= 0;
e352.. x197 - 37*b395 =L= 0;
e353.. x198 - 37*b396 =L= 0;
e354.. x199 - 37*b397 =L= 0;
e355.. x200 - 37*b398 =L= 0;
e356.. x201 - 37*b414 =L= 0;
e357.. x202 - 37*b415 =L= 0;
e358.. x203 - 37*b416 =L= 0;
e359.. x204 - 37*b417 =L= 0;
e360.. x205 - 37*b418 =L= 0;
e361.. x206 - 37*b419 =L= 0;
e362.. x207 - 37*b351 =L= 0;
e363.. x208 - 37.5*b357 =L= 0;
e364.. x209 - 37.5*b358 =L= 0;
e365.. x210 - 37.5*b359 =L= 0;
e366.. x211 - 37.5*b360 =L= 0;
e367.. x212 - 37.5*b361 =L= 0;
e368.. x213 - 37*b372 =L= 0;
e369.. x214 - 37.5*b378 =L= 0;
e370.. x215 - 37.5*b379 =L= 0;
e371.. x216 - 37.5*b380 =L= 0;
e372.. x217 - 37.5*b381 =L= 0;
e373.. x218 - 37.5*b382 =L= 0;
e374.. x219 - 37*b393 =L= 0;
e375.. x220 - 37.5*b399 =L= 0;
e376.. x221 - 37.5*b400 =L= 0;
e377.. x222 - 37.5*b401 =L= 0;
e378.. x223 - 37.5*b402 =L= 0;
e379.. x224 - 37.5*b403 =L= 0;
e380.. x225 - 37*b414 =L= 0;
e381.. x226 - 37.5*b420 =L= 0;
e382.. x227 - 37.5*b421 =L= 0;
e383.. x228 - 37.5*b422 =L= 0;
e384.. x229 - 37.5*b423 =L= 0;
e385.. x230 - 37.5*b424 =L= 0;
e386.. x231 - 37*b352 =L= 0;
e387.. x232 - 37.5*b357 =L= 0;
e388.. x233 - 38.5*b362 =L= 0;
e389.. x234 - 38.5*b363 =L= 0;
e390.. x235 - 38.5*b364 =L= 0;
e391.. x236 - 38.5*b365 =L= 0;
e392.. x237 - 37*b373 =L= 0;
e393.. x238 - 37.5*b378 =L= 0;
e394.. x239 - 38.5*b383 =L= 0;
e395.. x240 - 38.5*b384 =L= 0;
e396.. x241 - 38.5*b385 =L= 0;
e397.. x242 - 38.5*b386 =L= 0;
e398.. x243 - 37*b394 =L= 0;
e399.. x244 - 37.5*b399 =L= 0;
e400.. x245 - 38.5*b404 =L= 0;
e401.. x246 - 38.5*b405 =L= 0;
e402.. x247 - 38.5*b406 =L= 0;
e403.. x248 - 38.5*b407 =L= 0;
e404.. x249 - 37*b415 =L= 0;
e405.. x250 - 37.5*b420 =L= 0;
e406.. x251 - 38.5*b425 =L= 0;
e407.. x252 - 38.5*b426 =L= 0;
e408.. x253 - 38.5*b427 =L= 0;
e409.. x254 - 38.5*b428 =L= 0;
e410.. x255 - 37*b353 =L= 0;
e411.. x256 - 37.5*b358 =L= 0;
e412.. x257 - 38.5*b362 =L= 0;
e413.. x258 - 38.5*b366 =L= 0;
e414.. x259 - 38.5*b367 =L= 0;
e415.. x260 - 38.5*b368 =L= 0;
e416.. x261 - 37*b374 =L= 0;
e417.. x262 - 37.5*b379 =L= 0;
e418.. x263 - 38.5*b383 =L= 0;
e419.. x264 - 38.5*b387 =L= 0;
e420.. x265 - 38.5*b388 =L= 0;
e421.. x266 - 38.5*b389 =L= 0;
e422.. x267 - 37*b395 =L= 0;
e423.. x268 - 37.5*b400 =L= 0;
e424.. x269 - 38.5*b404 =L= 0;
e425.. x270 - 38.5*b408 =L= 0;
e426.. x271 - 38.5*b409 =L= 0;
e427.. x272 - 38.5*b410 =L= 0;
e428.. x273 - 37*b416 =L= 0;
e429.. x274 - 37.5*b421 =L= 0;
e430.. x275 - 38.5*b425 =L= 0;
e431.. x276 - 38.5*b429 =L= 0;
e432.. x277 - 38.5*b430 =L= 0;
e433.. x278 - 38.5*b431 =L= 0;
e434.. x279 - 37*b354 =L= 0;
e435.. x280 - 37.5*b359 =L= 0;
e436.. x281 - 38.5*b363 =L= 0;
e437.. x282 - 38.5*b366 =L= 0;
e438.. x283 - 38*b369 =L= 0;
e439.. x284 - 38*b370 =L= 0;
e440.. x285 - 37*b375 =L= 0;
e441.. x286 - 37.5*b380 =L= 0;
e442.. x287 - 38.5*b384 =L= 0;
e443.. x288 - 38.5*b387 =L= 0;
e444.. x289 - 38*b390 =L= 0;
e445.. x290 - 38*b391 =L= 0;
e446.. x291 - 37*b396 =L= 0;
e447.. x292 - 37.5*b401 =L= 0;
e448.. x293 - 38.5*b405 =L= 0;
e449.. x294 - 38.5*b408 =L= 0;
e450.. x295 - 38*b411 =L= 0;
e451.. x296 - 38*b412 =L= 0;
e452.. x297 - 37*b417 =L= 0;
e453.. x298 - 37.5*b422 =L= 0;
e454.. x299 - 38.5*b426 =L= 0;
e455.. x300 - 38.5*b429 =L= 0;
e456.. x301 - 38*b432 =L= 0;
e457.. x302 - 38*b433 =L= 0;
e458.. x303 - 37*b355 =L= 0;
e459.. x304 - 37.5*b360 =L= 0;
e460.. x305 - 38.5*b364 =L= 0;
e461.. x306 - 38.5*b367 =L= 0;
e462.. x307 - 38*b369 =L= 0;
e463.. x308 - 39*b371 =L= 0;
e464.. x309 - 37*b376 =L= 0;
e465.. x310 - 37.5*b381 =L= 0;
e466.. x311 - 38.5*b385 =L= 0;
e467.. x312 - 38.5*b388 =L= 0;
e468.. x313 - 38*b390 =L= 0;
e469.. x314 - 39*b392 =L= 0;
e470.. x315 - 37*b397 =L= 0;
e471.. x316 - 37.5*b402 =L= 0;
e472.. x317 - 38.5*b406 =L= 0;
e473.. x318 - 38.5*b409 =L= 0;
e474.. x319 - 38*b411 =L= 0;
e475.. x320 - 39*b413 =L= 0;
e476.. x321 - 37*b418 =L= 0;
e477.. x322 - 37.5*b423 =L= 0;
e478.. x323 - 38.5*b427 =L= 0;
e479.. x324 - 38.5*b430 =L= 0;
e480.. x325 - 38*b432 =L= 0;
e481.. x326 - 39*b434 =L= 0;
e482.. x327 - 37*b356 =L= 0;
e483.. x328 - 37.5*b361 =L= 0;
e484.. x329 - 38.5*b365 =L= 0;
e485.. x330 - 38.5*b368 =L= 0;
e486.. x331 - 38*b370 =L= 0;
e487.. x332 - 39*b371 =L= 0;
e488.. x333 - 37*b377 =L= 0;
e489.. x334 - 37.5*b382 =L= 0;
e490.. x335 - 38.5*b386 =L= 0;
e491.. x336 - 38.5*b389 =L= 0;
e492.. x337 - 38*b391 =L= 0;
e493.. x338 - 39*b392 =L= 0;
e494.. x339 - 37*b398 =L= 0;
e495.. x340 - 37.5*b403 =L= 0;
e496.. x341 - 38.5*b407 =L= 0;
e497.. x342 - 38.5*b410 =L= 0;
e498.. x343 - 38*b412 =L= 0;
e499.. x344 - 39*b413 =L= 0;
e500.. x345 - 37*b419 =L= 0;
e501.. x346 - 37.5*b424 =L= 0;
e502.. x347 - 38.5*b428 =L= 0;
e503.. x348 - 38.5*b431 =L= 0;
e504.. x349 - 38*b433 =L= 0;
e505.. x350 - 39*b434 =L= 0;
e506.. x15 - x39 + 6*b351 =L= 0;
e507.. x16 - x63 + 4*b352 =L= 0;
e508.. x17 - x87 + 3.5*b353 =L= 0;
e509.. x18 - x111 + 4.5*b354 =L= 0;
e510.. x19 - x135 + 5*b355 =L= 0;
e511.. x20 - x159 + 6.5*b356 =L= 0;
e512.. x40 - x64 + 5*b357 =L= 0;
e513.. x41 - x88 + 4.5*b358 =L= 0;
e514.. x42 - x112 + 5.5*b359 =L= 0;
e515.. x43 - x136 + 6*b360 =L= 0;
e516.. x44 - x160 + 7.5*b361 =L= 0;
e517.. x65 - x89 + 2.5*b362 =L= 0;
e518.. x66 - x113 + 3.5*b363 =L= 0;
e519.. x67 - x137 + 4*b364 =L= 0;
e520.. x68 - x161 + 5.5*b365 =L= 0;
e521.. x90 - x114 + 3*b366 =L= 0;
e522.. x91 - x138 + 3.5*b367 =L= 0;
e523.. x92 - x162 + 5*b368 =L= 0;
e524.. x115 - x139 + 4.5*b369 =L= 0;
e525.. x116 - x163 + 6*b370 =L= 0;
e526.. x140 - x164 + 6.5*b371 =L= 0;
e527.. - x21 + x45 + 6*b372 =L= 0;
e528.. - x22 + x69 + 4*b373 =L= 0;
e529.. - x23 + x93 + 3.5*b374 =L= 0;
e530.. - x24 + x117 + 4.5*b375 =L= 0;
e531.. - x25 + x141 + 5*b376 =L= 0;
e532.. - x26 + x165 + 6.5*b377 =L= 0;
e533.. - x46 + x70 + 5*b378 =L= 0;
e534.. - x47 + x94 + 4.5*b379 =L= 0;
e535.. - x48 + x118 + 5.5*b380 =L= 0;
e536.. - x49 + x142 + 6*b381 =L= 0;
e537.. - x50 + x166 + 7.5*b382 =L= 0;
e538.. - x71 + x95 + 2.5*b383 =L= 0;
e539.. - x72 + x119 + 3.5*b384 =L= 0;
e540.. - x73 + x143 + 4*b385 =L= 0;
e541.. - x74 + x167 + 5.5*b386 =L= 0;
e542.. - x96 + x120 + 3*b387 =L= 0;
e543.. - x97 + x144 + 3.5*b388 =L= 0;
e544.. - x98 + x168 + 5*b389 =L= 0;
e545.. - x121 + x145 + 4.5*b390 =L= 0;
e546.. - x122 + x169 + 6*b391 =L= 0;
e547.. - x146 + x170 + 6.5*b392 =L= 0;
e548.. x195 - x219 + 5.5*b393 =L= 0;
e549.. x196 - x243 + 4.5*b394 =L= 0;
e550.. x197 - x267 + 4.5*b395 =L= 0;
e551.. x198 - x291 + 5*b396 =L= 0;
e552.. x199 - x315 + 4*b397 =L= 0;
e553.. x200 - x339 + 6*b398 =L= 0;
e554.. x220 - x244 + 4*b399 =L= 0;
e555.. x221 - x268 + 4*b400 =L= 0;
e556.. x222 - x292 + 4.5*b401 =L= 0;
e557.. x223 - x316 + 3.5*b402 =L= 0;
e558.. x224 - x340 + 5.5*b403 =L= 0;
e559.. x245 - x269 + 3*b404 =L= 0;
e560.. x246 - x293 + 3.5*b405 =L= 0;
e561.. x247 - x317 + 2.5*b406 =L= 0;
e562.. x248 - x341 + 4.5*b407 =L= 0;
e563.. x270 - x294 + 3.5*b408 =L= 0;
e564.. x271 - x318 + 2.5*b409 =L= 0;
e565.. x272 - x342 + 4.5*b410 =L= 0;
e566.. x295 - x319 + 3*b411 =L= 0;
e567.. x296 - x343 + 5*b412 =L= 0;
e568.. x320 - x344 + 4*b413 =L= 0;
e569.. - x201 + x225 + 5.5*b414 =L= 0;
e570.. - x202 + x249 + 4.5*b415 =L= 0;
e571.. - x203 + x273 + 4.5*b416 =L= 0;
e572.. - x204 + x297 + 5*b417 =L= 0;
e573.. - x205 + x321 + 4*b418 =L= 0;
e574.. - x206 + x345 + 6*b419 =L= 0;
e575.. - x226 + x250 + 4*b420 =L= 0;
e576.. - x227 + x274 + 4*b421 =L= 0;
e577.. - x228 + x298 + 4.5*b422 =L= 0;
e578.. - x229 + x322 + 3.5*b423 =L= 0;
e579.. - x230 + x346 + 5.5*b424 =L= 0;
e580.. - x251 + x275 + 3*b425 =L= 0;
e581.. - x252 + x299 + 3.5*b426 =L= 0;
e582.. - x253 + x323 + 2.5*b427 =L= 0;
e583.. - x254 + x347 + 4.5*b428 =L= 0;
e584.. - x276 + x300 + 3.5*b429 =L= 0;
e585.. - x277 + x324 + 2.5*b430 =L= 0;
e586.. - x278 + x348 + 4.5*b431 =L= 0;
e587.. - x301 + x325 + 3*b432 =L= 0;
e588.. - x302 + x349 + 5*b433 =L= 0;
e589.. - x326 + x350 + 4*b434 =L= 0;
e590.. b351 + b372 + b393 + b414 =E= 1;
e591.. b352 + b373 + b394 + b415 =E= 1;
e592.. b353 + b374 + b395 + b416 =E= 1;
e593.. b354 + b375 + b396 + b417 =E= 1;
e594.. b355 + b376 + b397 + b418 =E= 1;
e595.. b356 + b377 + b398 + b419 =E= 1;
e596.. b357 + b378 + b399 + b420 =E= 1;
e597.. b358 + b379 + b400 + b421 =E= 1;
e598.. b359 + b380 + b401 + b422 =E= 1;
e599.. b360 + b381 + b402 + b423 =E= 1;
e600.. b361 + b382 + b403 + b424 =E= 1;
e601.. b362 + b383 + b404 + b425 =E= 1;
e602.. b363 + b384 + b405 + b426 =E= 1;
e603.. b364 + b385 + b406 + b427 =E= 1;
e604.. b365 + b386 + b407 + b428 =E= 1;
e605.. b366 + b387 + b408 + b429 =E= 1;
e606.. b367 + b388 + b409 + b430 =E= 1;
e607.. b368 + b389 + b410 + b431 =E= 1;
e608.. b369 + b390 + b411 + b432 =E= 1;
e609.. b370 + b391 + b412 + b433 =E= 1;
e610.. b371 + b392 + b413 + b434 =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 = 3; x8.up = 37;
x9.lo = 2.5; x9.up = 37.5;
x10.lo = 1.5; x10.up = 38.5;
x11.lo = 1.5; x11.up = 38.5;
x12.lo = 2; x12.up = 38;
x13.lo = 1; x13.up = 39;
x14.lo = 3; x14.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