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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)
64748.82529000 p1 ( gdx sol )
(infeas: 9e-16)
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 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
*        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: 2022-10-14 Git hash: 2be6d7c0
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