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)
84960.21242000 p1 ( gdx sol )
(infeas: 2e-14)
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 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
*        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: 2022-05-24 Git hash: 1198c186
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