MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance flay06h
Determine the optimal length and width of a number of rectangular patches of land with fixed area, such that the perimeter of the set of patches is minimized.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 64.42951687 (ALPHAECP) 63.78428047 (ANTIGONE) 63.71172251 (BARON) 58.46552900 (BONMIN) 55.85575696 (COUENNE) 66.93272017 (GUROBI) 60.10296373 (LINDO) 66.93279410 (SCIP) 63.40712624 (SHOT) 64.89222341 (XPRESS) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | FLay06H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 566 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 6 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 2 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 693 |
| #Linear Constraintsⓘ | 687 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 6 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1848 |
| #Nonlinear Nonzeros in Jacobianⓘ | 6 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 6 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 6 |
| #Blocks in Hessian of Lagrangianⓘ | 6 |
| 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ⓘ | 7.5000e+01 |
| Infeasibility of initial pointⓘ | 74 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 694 136 12 546 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 567 507 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1851 1845 6 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,x465,x466,x467
,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
,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,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,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,x465,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475
,x476,x477,x478,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488
,x489,x490,x491,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501
,x502,x503,x504,x505,x506;
Binary Variables 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;
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;
e1.. - 2*x25 - 2*x26 + objvar =E= 0;
e2.. - x1 - x13 + x25 =G= 0;
e3.. - x2 - x14 + x25 =G= 0;
e4.. - x3 - x15 + x25 =G= 0;
e5.. - x4 - x16 + x25 =G= 0;
e6.. - x5 - x17 + x25 =G= 0;
e7.. - x6 - x18 + x25 =G= 0;
e8.. - x7 - x19 + x26 =G= 0;
e9.. - x8 - x20 + x26 =G= 0;
e10.. - x9 - x21 + x26 =G= 0;
e11.. - x10 - x22 + x26 =G= 0;
e12.. - x11 - x23 + x26 =G= 0;
e13.. - x12 - x24 + x26 =G= 0;
e14.. 40/x19 - x13 =L= 0;
e15.. 50/x20 - x14 =L= 0;
e16.. 60/x21 - x15 =L= 0;
e17.. 35/x22 - x16 =L= 0;
e18.. 75/x23 - x17 =L= 0;
e19.. 20/x24 - x18 =L= 0;
e20.. x1 - x27 - x32 - x37 - x42 =E= 0;
e21.. x1 - x28 - x33 - x38 - x43 =E= 0;
e22.. x1 - x29 - x34 - x39 - x44 =E= 0;
e23.. x1 - x30 - x35 - x40 - x45 =E= 0;
e24.. x1 - x31 - x36 - x41 - x46 =E= 0;
e25.. x2 - x47 - x52 - x57 - x62 =E= 0;
e26.. x2 - x48 - x53 - x58 - x63 =E= 0;
e27.. x2 - x49 - x54 - x59 - x64 =E= 0;
e28.. x2 - x50 - x55 - x60 - x65 =E= 0;
e29.. x2 - x51 - x56 - x61 - x66 =E= 0;
e30.. x3 - x67 - x72 - x77 - x82 =E= 0;
e31.. x3 - x68 - x73 - x78 - x83 =E= 0;
e32.. x3 - x69 - x74 - x79 - x84 =E= 0;
e33.. x3 - x70 - x75 - x80 - x85 =E= 0;
e34.. x3 - x71 - x76 - x81 - x86 =E= 0;
e35.. x4 - x87 - x92 - x97 - x102 =E= 0;
e36.. x4 - x88 - x93 - x98 - x103 =E= 0;
e37.. x4 - x89 - x94 - x99 - x104 =E= 0;
e38.. x4 - x90 - x95 - x100 - x105 =E= 0;
e39.. x4 - x91 - x96 - x101 - x106 =E= 0;
e40.. x5 - x107 - x112 - x117 - x122 =E= 0;
e41.. x5 - x108 - x113 - x118 - x123 =E= 0;
e42.. x5 - x109 - x114 - x119 - x124 =E= 0;
e43.. x5 - x110 - x115 - x120 - x125 =E= 0;
e44.. x5 - x111 - x116 - x121 - x126 =E= 0;
e45.. x6 - x127 - x132 - x137 - x142 =E= 0;
e46.. x6 - x128 - x133 - x138 - x143 =E= 0;
e47.. x6 - x129 - x134 - x139 - x144 =E= 0;
e48.. x6 - x130 - x135 - x140 - x145 =E= 0;
e49.. x6 - x131 - x136 - x141 - x146 =E= 0;
e50.. x7 - x147 - x152 - x157 - x162 =E= 0;
e51.. x7 - x148 - x153 - x158 - x163 =E= 0;
e52.. x7 - x149 - x154 - x159 - x164 =E= 0;
e53.. x7 - x150 - x155 - x160 - x165 =E= 0;
e54.. x7 - x151 - x156 - x161 - x166 =E= 0;
e55.. x8 - x167 - x172 - x177 - x182 =E= 0;
e56.. x8 - x168 - x173 - x178 - x183 =E= 0;
e57.. x8 - x169 - x174 - x179 - x184 =E= 0;
e58.. x8 - x170 - x175 - x180 - x185 =E= 0;
e59.. x8 - x171 - x176 - x181 - x186 =E= 0;
e60.. x9 - x187 - x192 - x197 - x202 =E= 0;
e61.. x9 - x188 - x193 - x198 - x203 =E= 0;
e62.. x9 - x189 - x194 - x199 - x204 =E= 0;
e63.. x9 - x190 - x195 - x200 - x205 =E= 0;
e64.. x9 - x191 - x196 - x201 - x206 =E= 0;
e65.. x10 - x207 - x212 - x217 - x222 =E= 0;
e66.. x10 - x208 - x213 - x218 - x223 =E= 0;
e67.. x10 - x209 - x214 - x219 - x224 =E= 0;
e68.. x10 - x210 - x215 - x220 - x225 =E= 0;
e69.. x10 - x211 - x216 - x221 - x226 =E= 0;
e70.. x11 - x227 - x232 - x237 - x242 =E= 0;
e71.. x11 - x228 - x233 - x238 - x243 =E= 0;
e72.. x11 - x229 - x234 - x239 - x244 =E= 0;
e73.. x11 - x230 - x235 - x240 - x245 =E= 0;
e74.. x11 - x231 - x236 - x241 - x246 =E= 0;
e75.. x12 - x247 - x252 - x257 - x262 =E= 0;
e76.. x12 - x248 - x253 - x258 - x263 =E= 0;
e77.. x12 - x249 - x254 - x259 - x264 =E= 0;
e78.. x12 - x250 - x255 - x260 - x265 =E= 0;
e79.. x12 - x251 - x256 - x261 - x266 =E= 0;
e80.. x13 - x267 - x272 - x277 - x282 =E= 0;
e81.. x13 - x268 - x273 - x278 - x283 =E= 0;
e82.. x13 - x269 - x274 - x279 - x284 =E= 0;
e83.. x13 - x270 - x275 - x280 - x285 =E= 0;
e84.. x13 - x271 - x276 - x281 - x286 =E= 0;
e85.. x14 - x287 - x292 - x297 - x302 =E= 0;
e86.. x14 - x288 - x293 - x298 - x303 =E= 0;
e87.. x14 - x289 - x294 - x299 - x304 =E= 0;
e88.. x14 - x290 - x295 - x300 - x305 =E= 0;
e89.. x14 - x291 - x296 - x301 - x306 =E= 0;
e90.. x15 - x307 - x312 - x317 - x322 =E= 0;
e91.. x15 - x308 - x313 - x318 - x323 =E= 0;
e92.. x15 - x309 - x314 - x319 - x324 =E= 0;
e93.. x15 - x310 - x315 - x320 - x325 =E= 0;
e94.. x15 - x311 - x316 - x321 - x326 =E= 0;
e95.. x16 - x327 - x332 - x337 - x342 =E= 0;
e96.. x16 - x328 - x333 - x338 - x343 =E= 0;
e97.. x16 - x329 - x334 - x339 - x344 =E= 0;
e98.. x16 - x330 - x335 - x340 - x345 =E= 0;
e99.. x16 - x331 - x336 - x341 - x346 =E= 0;
e100.. x17 - x347 - x352 - x357 - x362 =E= 0;
e101.. x17 - x348 - x353 - x358 - x363 =E= 0;
e102.. x17 - x349 - x354 - x359 - x364 =E= 0;
e103.. x17 - x350 - x355 - x360 - x365 =E= 0;
e104.. x17 - x351 - x356 - x361 - x366 =E= 0;
e105.. x18 - x367 - x372 - x377 - x382 =E= 0;
e106.. x18 - x368 - x373 - x378 - x383 =E= 0;
e107.. x18 - x369 - x374 - x379 - x384 =E= 0;
e108.. x18 - x370 - x375 - x380 - x385 =E= 0;
e109.. x18 - x371 - x376 - x381 - x386 =E= 0;
e110.. x19 - x387 - x392 - x397 - x402 =E= 0;
e111.. x19 - x388 - x393 - x398 - x403 =E= 0;
e112.. x19 - x389 - x394 - x399 - x404 =E= 0;
e113.. x19 - x390 - x395 - x400 - x405 =E= 0;
e114.. x19 - x391 - x396 - x401 - x406 =E= 0;
e115.. x20 - x407 - x412 - x417 - x422 =E= 0;
e116.. x20 - x408 - x413 - x418 - x423 =E= 0;
e117.. x20 - x409 - x414 - x419 - x424 =E= 0;
e118.. x20 - x410 - x415 - x420 - x425 =E= 0;
e119.. x20 - x411 - x416 - x421 - x426 =E= 0;
e120.. x21 - x427 - x432 - x437 - x442 =E= 0;
e121.. x21 - x428 - x433 - x438 - x443 =E= 0;
e122.. x21 - x429 - x434 - x439 - x444 =E= 0;
e123.. x21 - x430 - x435 - x440 - x445 =E= 0;
e124.. x21 - x431 - x436 - x441 - x446 =E= 0;
e125.. x22 - x447 - x452 - x457 - x462 =E= 0;
e126.. x22 - x448 - x453 - x458 - x463 =E= 0;
e127.. x22 - x449 - x454 - x459 - x464 =E= 0;
e128.. x22 - x450 - x455 - x460 - x465 =E= 0;
e129.. x22 - x451 - x456 - x461 - x466 =E= 0;
e130.. x23 - x467 - x472 - x477 - x482 =E= 0;
e131.. x23 - x468 - x473 - x478 - x483 =E= 0;
e132.. x23 - x469 - x474 - x479 - x484 =E= 0;
e133.. x23 - x470 - x475 - x480 - x485 =E= 0;
e134.. x23 - x471 - x476 - x481 - x486 =E= 0;
e135.. x24 - x487 - x492 - x497 - x502 =E= 0;
e136.. x24 - x488 - x493 - x498 - x503 =E= 0;
e137.. x24 - x489 - x494 - x499 - x504 =E= 0;
e138.. x24 - x490 - x495 - x500 - x505 =E= 0;
e139.. x24 - x491 - x496 - x501 - x506 =E= 0;
e140.. x27 - 29*b507 =L= 0;
e141.. x28 - 29*b508 =L= 0;
e142.. x29 - 29*b509 =L= 0;
e143.. x30 - 29*b510 =L= 0;
e144.. x31 - 29*b511 =L= 0;
e145.. x32 - 29*b522 =L= 0;
e146.. x33 - 29*b523 =L= 0;
e147.. x34 - 29*b524 =L= 0;
e148.. x35 - 29*b525 =L= 0;
e149.. x36 - 29*b526 =L= 0;
e150.. x37 - 29*b537 =L= 0;
e151.. x38 - 29*b538 =L= 0;
e152.. x39 - 29*b539 =L= 0;
e153.. x40 - 29*b540 =L= 0;
e154.. x41 - 29*b541 =L= 0;
e155.. x42 - 29*b552 =L= 0;
e156.. x43 - 29*b553 =L= 0;
e157.. x44 - 29*b554 =L= 0;
e158.. x45 - 29*b555 =L= 0;
e159.. x46 - 29*b556 =L= 0;
e160.. x47 - 29*b507 =L= 0;
e161.. x48 - 29*b512 =L= 0;
e162.. x49 - 29*b513 =L= 0;
e163.. x50 - 29*b514 =L= 0;
e164.. x51 - 29*b515 =L= 0;
e165.. x52 - 29*b522 =L= 0;
e166.. x53 - 29*b527 =L= 0;
e167.. x54 - 29*b528 =L= 0;
e168.. x55 - 29*b529 =L= 0;
e169.. x56 - 29*b530 =L= 0;
e170.. x57 - 29*b537 =L= 0;
e171.. x58 - 29*b542 =L= 0;
e172.. x59 - 29*b543 =L= 0;
e173.. x60 - 29*b544 =L= 0;
e174.. x61 - 29*b545 =L= 0;
e175.. x62 - 29*b552 =L= 0;
e176.. x63 - 29*b557 =L= 0;
e177.. x64 - 29*b558 =L= 0;
e178.. x65 - 29*b559 =L= 0;
e179.. x66 - 29*b560 =L= 0;
e180.. x67 - 29*b508 =L= 0;
e181.. x68 - 29*b512 =L= 0;
e182.. x69 - 29*b516 =L= 0;
e183.. x70 - 29*b517 =L= 0;
e184.. x71 - 29*b518 =L= 0;
e185.. x72 - 29*b523 =L= 0;
e186.. x73 - 29*b527 =L= 0;
e187.. x74 - 29*b531 =L= 0;
e188.. x75 - 29*b532 =L= 0;
e189.. x76 - 29*b533 =L= 0;
e190.. x77 - 29*b538 =L= 0;
e191.. x78 - 29*b542 =L= 0;
e192.. x79 - 29*b546 =L= 0;
e193.. x80 - 29*b547 =L= 0;
e194.. x81 - 29*b548 =L= 0;
e195.. x82 - 29*b553 =L= 0;
e196.. x83 - 29*b557 =L= 0;
e197.. x84 - 29*b561 =L= 0;
e198.. x85 - 29*b562 =L= 0;
e199.. x86 - 29*b563 =L= 0;
e200.. x87 - 29*b509 =L= 0;
e201.. x88 - 29*b513 =L= 0;
e202.. x89 - 29*b516 =L= 0;
e203.. x90 - 29*b519 =L= 0;
e204.. x91 - 29*b520 =L= 0;
e205.. x92 - 29*b524 =L= 0;
e206.. x93 - 29*b528 =L= 0;
e207.. x94 - 29*b531 =L= 0;
e208.. x95 - 29*b534 =L= 0;
e209.. x96 - 29*b535 =L= 0;
e210.. x97 - 29*b539 =L= 0;
e211.. x98 - 29*b543 =L= 0;
e212.. x99 - 29*b546 =L= 0;
e213.. x100 - 29*b549 =L= 0;
e214.. x101 - 29*b550 =L= 0;
e215.. x102 - 29*b554 =L= 0;
e216.. x103 - 29*b558 =L= 0;
e217.. x104 - 29*b561 =L= 0;
e218.. x105 - 29*b564 =L= 0;
e219.. x106 - 29*b565 =L= 0;
e220.. x107 - 29*b510 =L= 0;
e221.. x108 - 29*b514 =L= 0;
e222.. x109 - 29*b517 =L= 0;
e223.. x110 - 29*b519 =L= 0;
e224.. x111 - 29*b521 =L= 0;
e225.. x112 - 29*b525 =L= 0;
e226.. x113 - 29*b529 =L= 0;
e227.. x114 - 29*b532 =L= 0;
e228.. x115 - 29*b534 =L= 0;
e229.. x116 - 29*b536 =L= 0;
e230.. x117 - 29*b540 =L= 0;
e231.. x118 - 29*b544 =L= 0;
e232.. x119 - 29*b547 =L= 0;
e233.. x120 - 29*b549 =L= 0;
e234.. x121 - 29*b551 =L= 0;
e235.. x122 - 29*b555 =L= 0;
e236.. x123 - 29*b559 =L= 0;
e237.. x124 - 29*b562 =L= 0;
e238.. x125 - 29*b564 =L= 0;
e239.. x126 - 29*b566 =L= 0;
e240.. x127 - 29*b511 =L= 0;
e241.. x128 - 29*b515 =L= 0;
e242.. x129 - 29*b518 =L= 0;
e243.. x130 - 29*b520 =L= 0;
e244.. x131 - 29*b521 =L= 0;
e245.. x132 - 29*b526 =L= 0;
e246.. x133 - 29*b530 =L= 0;
e247.. x134 - 29*b533 =L= 0;
e248.. x135 - 29*b535 =L= 0;
e249.. x136 - 29*b536 =L= 0;
e250.. x137 - 29*b541 =L= 0;
e251.. x138 - 29*b545 =L= 0;
e252.. x139 - 29*b548 =L= 0;
e253.. x140 - 29*b550 =L= 0;
e254.. x141 - 29*b551 =L= 0;
e255.. x142 - 29*b556 =L= 0;
e256.. x143 - 29*b560 =L= 0;
e257.. x144 - 29*b563 =L= 0;
e258.. x145 - 29*b565 =L= 0;
e259.. x146 - 29*b566 =L= 0;
e260.. x147 - 29*b507 =L= 0;
e261.. x148 - 29*b508 =L= 0;
e262.. x149 - 29*b509 =L= 0;
e263.. x150 - 29*b510 =L= 0;
e264.. x151 - 29*b511 =L= 0;
e265.. x152 - 29*b522 =L= 0;
e266.. x153 - 29*b523 =L= 0;
e267.. x154 - 29*b524 =L= 0;
e268.. x155 - 29*b525 =L= 0;
e269.. x156 - 29*b526 =L= 0;
e270.. x157 - 29*b537 =L= 0;
e271.. x158 - 29*b538 =L= 0;
e272.. x159 - 29*b539 =L= 0;
e273.. x160 - 29*b540 =L= 0;
e274.. x161 - 29*b541 =L= 0;
e275.. x162 - 29*b552 =L= 0;
e276.. x163 - 29*b553 =L= 0;
e277.. x164 - 29*b554 =L= 0;
e278.. x165 - 29*b555 =L= 0;
e279.. x166 - 29*b556 =L= 0;
e280.. x167 - 29*b507 =L= 0;
e281.. x168 - 29*b512 =L= 0;
e282.. x169 - 29*b513 =L= 0;
e283.. x170 - 29*b514 =L= 0;
e284.. x171 - 29*b515 =L= 0;
e285.. x172 - 29*b522 =L= 0;
e286.. x173 - 29*b527 =L= 0;
e287.. x174 - 29*b528 =L= 0;
e288.. x175 - 29*b529 =L= 0;
e289.. x176 - 29*b530 =L= 0;
e290.. x177 - 29*b537 =L= 0;
e291.. x178 - 29*b542 =L= 0;
e292.. x179 - 29*b543 =L= 0;
e293.. x180 - 29*b544 =L= 0;
e294.. x181 - 29*b545 =L= 0;
e295.. x182 - 29*b552 =L= 0;
e296.. x183 - 29*b557 =L= 0;
e297.. x184 - 29*b558 =L= 0;
e298.. x185 - 29*b559 =L= 0;
e299.. x186 - 29*b560 =L= 0;
e300.. x187 - 29*b508 =L= 0;
e301.. x188 - 29*b512 =L= 0;
e302.. x189 - 29*b516 =L= 0;
e303.. x190 - 29*b517 =L= 0;
e304.. x191 - 29*b518 =L= 0;
e305.. x192 - 29*b523 =L= 0;
e306.. x193 - 29*b527 =L= 0;
e307.. x194 - 29*b531 =L= 0;
e308.. x195 - 29*b532 =L= 0;
e309.. x196 - 29*b533 =L= 0;
e310.. x197 - 29*b538 =L= 0;
e311.. x198 - 29*b542 =L= 0;
e312.. x199 - 29*b546 =L= 0;
e313.. x200 - 29*b547 =L= 0;
e314.. x201 - 29*b548 =L= 0;
e315.. x202 - 29*b553 =L= 0;
e316.. x203 - 29*b557 =L= 0;
e317.. x204 - 29*b561 =L= 0;
e318.. x205 - 29*b562 =L= 0;
e319.. x206 - 29*b563 =L= 0;
e320.. x207 - 29*b509 =L= 0;
e321.. x208 - 29*b513 =L= 0;
e322.. x209 - 29*b516 =L= 0;
e323.. x210 - 29*b519 =L= 0;
e324.. x211 - 29*b520 =L= 0;
e325.. x212 - 29*b524 =L= 0;
e326.. x213 - 29*b528 =L= 0;
e327.. x214 - 29*b531 =L= 0;
e328.. x215 - 29*b534 =L= 0;
e329.. x216 - 29*b535 =L= 0;
e330.. x217 - 29*b539 =L= 0;
e331.. x218 - 29*b543 =L= 0;
e332.. x219 - 29*b546 =L= 0;
e333.. x220 - 29*b549 =L= 0;
e334.. x221 - 29*b550 =L= 0;
e335.. x222 - 29*b554 =L= 0;
e336.. x223 - 29*b558 =L= 0;
e337.. x224 - 29*b561 =L= 0;
e338.. x225 - 29*b564 =L= 0;
e339.. x226 - 29*b565 =L= 0;
e340.. x227 - 29*b510 =L= 0;
e341.. x228 - 29*b514 =L= 0;
e342.. x229 - 29*b517 =L= 0;
e343.. x230 - 29*b519 =L= 0;
e344.. x231 - 29*b521 =L= 0;
e345.. x232 - 29*b525 =L= 0;
e346.. x233 - 29*b529 =L= 0;
e347.. x234 - 29*b532 =L= 0;
e348.. x235 - 29*b534 =L= 0;
e349.. x236 - 29*b536 =L= 0;
e350.. x237 - 29*b540 =L= 0;
e351.. x238 - 29*b544 =L= 0;
e352.. x239 - 29*b547 =L= 0;
e353.. x240 - 29*b549 =L= 0;
e354.. x241 - 29*b551 =L= 0;
e355.. x242 - 29*b555 =L= 0;
e356.. x243 - 29*b559 =L= 0;
e357.. x244 - 29*b562 =L= 0;
e358.. x245 - 29*b564 =L= 0;
e359.. x246 - 29*b566 =L= 0;
e360.. x247 - 29*b511 =L= 0;
e361.. x248 - 29*b515 =L= 0;
e362.. x249 - 29*b518 =L= 0;
e363.. x250 - 29*b520 =L= 0;
e364.. x251 - 29*b521 =L= 0;
e365.. x252 - 29*b526 =L= 0;
e366.. x253 - 29*b530 =L= 0;
e367.. x254 - 29*b533 =L= 0;
e368.. x255 - 29*b535 =L= 0;
e369.. x256 - 29*b536 =L= 0;
e370.. x257 - 29*b541 =L= 0;
e371.. x258 - 29*b545 =L= 0;
e372.. x259 - 29*b548 =L= 0;
e373.. x260 - 29*b550 =L= 0;
e374.. x261 - 29*b551 =L= 0;
e375.. x262 - 29*b556 =L= 0;
e376.. x263 - 29*b560 =L= 0;
e377.. x264 - 29*b563 =L= 0;
e378.. x265 - 29*b565 =L= 0;
e379.. x266 - 29*b566 =L= 0;
e380.. x267 - 40*b507 =L= 0;
e381.. x268 - 40*b508 =L= 0;
e382.. x269 - 40*b509 =L= 0;
e383.. x270 - 40*b510 =L= 0;
e384.. x271 - 40*b511 =L= 0;
e385.. x272 - 40*b522 =L= 0;
e386.. x273 - 40*b523 =L= 0;
e387.. x274 - 40*b524 =L= 0;
e388.. x275 - 40*b525 =L= 0;
e389.. x276 - 40*b526 =L= 0;
e390.. x277 - 40*b537 =L= 0;
e391.. x278 - 40*b538 =L= 0;
e392.. x279 - 40*b539 =L= 0;
e393.. x280 - 40*b540 =L= 0;
e394.. x281 - 40*b541 =L= 0;
e395.. x282 - 40*b552 =L= 0;
e396.. x283 - 40*b553 =L= 0;
e397.. x284 - 40*b554 =L= 0;
e398.. x285 - 40*b555 =L= 0;
e399.. x286 - 40*b556 =L= 0;
e400.. x287 - 40*b507 =L= 0;
e401.. x288 - 50*b512 =L= 0;
e402.. x289 - 50*b513 =L= 0;
e403.. x290 - 50*b514 =L= 0;
e404.. x291 - 50*b515 =L= 0;
e405.. x292 - 40*b522 =L= 0;
e406.. x293 - 50*b527 =L= 0;
e407.. x294 - 50*b528 =L= 0;
e408.. x295 - 50*b529 =L= 0;
e409.. x296 - 50*b530 =L= 0;
e410.. x297 - 40*b537 =L= 0;
e411.. x298 - 50*b542 =L= 0;
e412.. x299 - 50*b543 =L= 0;
e413.. x300 - 50*b544 =L= 0;
e414.. x301 - 50*b545 =L= 0;
e415.. x302 - 40*b552 =L= 0;
e416.. x303 - 50*b557 =L= 0;
e417.. x304 - 50*b558 =L= 0;
e418.. x305 - 50*b559 =L= 0;
e419.. x306 - 50*b560 =L= 0;
e420.. x307 - 40*b508 =L= 0;
e421.. x308 - 50*b512 =L= 0;
e422.. x309 - 60*b516 =L= 0;
e423.. x310 - 60*b517 =L= 0;
e424.. x311 - 60*b518 =L= 0;
e425.. x312 - 40*b523 =L= 0;
e426.. x313 - 50*b527 =L= 0;
e427.. x314 - 60*b531 =L= 0;
e428.. x315 - 60*b532 =L= 0;
e429.. x316 - 60*b533 =L= 0;
e430.. x317 - 40*b538 =L= 0;
e431.. x318 - 50*b542 =L= 0;
e432.. x319 - 60*b546 =L= 0;
e433.. x320 - 60*b547 =L= 0;
e434.. x321 - 60*b548 =L= 0;
e435.. x322 - 40*b553 =L= 0;
e436.. x323 - 50*b557 =L= 0;
e437.. x324 - 60*b561 =L= 0;
e438.. x325 - 60*b562 =L= 0;
e439.. x326 - 60*b563 =L= 0;
e440.. x327 - 40*b509 =L= 0;
e441.. x328 - 50*b513 =L= 0;
e442.. x329 - 60*b516 =L= 0;
e443.. x330 - 35*b519 =L= 0;
e444.. x331 - 35*b520 =L= 0;
e445.. x332 - 40*b524 =L= 0;
e446.. x333 - 50*b528 =L= 0;
e447.. x334 - 60*b531 =L= 0;
e448.. x335 - 35*b534 =L= 0;
e449.. x336 - 35*b535 =L= 0;
e450.. x337 - 40*b539 =L= 0;
e451.. x338 - 50*b543 =L= 0;
e452.. x339 - 60*b546 =L= 0;
e453.. x340 - 35*b549 =L= 0;
e454.. x341 - 35*b550 =L= 0;
e455.. x342 - 40*b554 =L= 0;
e456.. x343 - 50*b558 =L= 0;
e457.. x344 - 60*b561 =L= 0;
e458.. x345 - 35*b564 =L= 0;
e459.. x346 - 35*b565 =L= 0;
e460.. x347 - 40*b510 =L= 0;
e461.. x348 - 50*b514 =L= 0;
e462.. x349 - 60*b517 =L= 0;
e463.. x350 - 35*b519 =L= 0;
e464.. x351 - 75*b521 =L= 0;
e465.. x352 - 40*b525 =L= 0;
e466.. x353 - 50*b529 =L= 0;
e467.. x354 - 60*b532 =L= 0;
e468.. x355 - 35*b534 =L= 0;
e469.. x356 - 75*b536 =L= 0;
e470.. x357 - 40*b540 =L= 0;
e471.. x358 - 50*b544 =L= 0;
e472.. x359 - 60*b547 =L= 0;
e473.. x360 - 35*b549 =L= 0;
e474.. x361 - 75*b551 =L= 0;
e475.. x362 - 40*b555 =L= 0;
e476.. x363 - 50*b559 =L= 0;
e477.. x364 - 60*b562 =L= 0;
e478.. x365 - 35*b564 =L= 0;
e479.. x366 - 75*b566 =L= 0;
e480.. x367 - 40*b511 =L= 0;
e481.. x368 - 50*b515 =L= 0;
e482.. x369 - 60*b518 =L= 0;
e483.. x370 - 35*b520 =L= 0;
e484.. x371 - 75*b521 =L= 0;
e485.. x372 - 40*b526 =L= 0;
e486.. x373 - 50*b530 =L= 0;
e487.. x374 - 60*b533 =L= 0;
e488.. x375 - 35*b535 =L= 0;
e489.. x376 - 75*b536 =L= 0;
e490.. x377 - 40*b541 =L= 0;
e491.. x378 - 50*b545 =L= 0;
e492.. x379 - 60*b548 =L= 0;
e493.. x380 - 35*b550 =L= 0;
e494.. x381 - 75*b551 =L= 0;
e495.. x382 - 40*b556 =L= 0;
e496.. x383 - 50*b560 =L= 0;
e497.. x384 - 60*b563 =L= 0;
e498.. x385 - 35*b565 =L= 0;
e499.. x386 - 75*b566 =L= 0;
e500.. x387 - 40*b507 =L= 0;
e501.. x388 - 40*b508 =L= 0;
e502.. x389 - 40*b509 =L= 0;
e503.. x390 - 40*b510 =L= 0;
e504.. x391 - 40*b511 =L= 0;
e505.. x392 - 40*b522 =L= 0;
e506.. x393 - 40*b523 =L= 0;
e507.. x394 - 40*b524 =L= 0;
e508.. x395 - 40*b525 =L= 0;
e509.. x396 - 40*b526 =L= 0;
e510.. x397 - 40*b537 =L= 0;
e511.. x398 - 40*b538 =L= 0;
e512.. x399 - 40*b539 =L= 0;
e513.. x400 - 40*b540 =L= 0;
e514.. x401 - 40*b541 =L= 0;
e515.. x402 - 40*b552 =L= 0;
e516.. x403 - 40*b553 =L= 0;
e517.. x404 - 40*b554 =L= 0;
e518.. x405 - 40*b555 =L= 0;
e519.. x406 - 40*b556 =L= 0;
e520.. x407 - 40*b507 =L= 0;
e521.. x408 - 50*b512 =L= 0;
e522.. x409 - 50*b513 =L= 0;
e523.. x410 - 50*b514 =L= 0;
e524.. x411 - 50*b515 =L= 0;
e525.. x412 - 40*b522 =L= 0;
e526.. x413 - 50*b527 =L= 0;
e527.. x414 - 50*b528 =L= 0;
e528.. x415 - 50*b529 =L= 0;
e529.. x416 - 50*b530 =L= 0;
e530.. x417 - 40*b537 =L= 0;
e531.. x418 - 50*b542 =L= 0;
e532.. x419 - 50*b543 =L= 0;
e533.. x420 - 50*b544 =L= 0;
e534.. x421 - 50*b545 =L= 0;
e535.. x422 - 40*b552 =L= 0;
e536.. x423 - 50*b557 =L= 0;
e537.. x424 - 50*b558 =L= 0;
e538.. x425 - 50*b559 =L= 0;
e539.. x426 - 50*b560 =L= 0;
e540.. x427 - 40*b508 =L= 0;
e541.. x428 - 50*b512 =L= 0;
e542.. x429 - 60*b516 =L= 0;
e543.. x430 - 60*b517 =L= 0;
e544.. x431 - 60*b518 =L= 0;
e545.. x432 - 40*b523 =L= 0;
e546.. x433 - 50*b527 =L= 0;
e547.. x434 - 60*b531 =L= 0;
e548.. x435 - 60*b532 =L= 0;
e549.. x436 - 60*b533 =L= 0;
e550.. x437 - 40*b538 =L= 0;
e551.. x438 - 50*b542 =L= 0;
e552.. x439 - 60*b546 =L= 0;
e553.. x440 - 60*b547 =L= 0;
e554.. x441 - 60*b548 =L= 0;
e555.. x442 - 40*b553 =L= 0;
e556.. x443 - 50*b557 =L= 0;
e557.. x444 - 60*b561 =L= 0;
e558.. x445 - 60*b562 =L= 0;
e559.. x446 - 60*b563 =L= 0;
e560.. x447 - 40*b509 =L= 0;
e561.. x448 - 50*b513 =L= 0;
e562.. x449 - 60*b516 =L= 0;
e563.. x450 - 35*b519 =L= 0;
e564.. x451 - 35*b520 =L= 0;
e565.. x452 - 40*b524 =L= 0;
e566.. x453 - 50*b528 =L= 0;
e567.. x454 - 60*b531 =L= 0;
e568.. x455 - 35*b534 =L= 0;
e569.. x456 - 35*b535 =L= 0;
e570.. x457 - 40*b539 =L= 0;
e571.. x458 - 50*b543 =L= 0;
e572.. x459 - 60*b546 =L= 0;
e573.. x460 - 35*b549 =L= 0;
e574.. x461 - 35*b550 =L= 0;
e575.. x462 - 40*b554 =L= 0;
e576.. x463 - 50*b558 =L= 0;
e577.. x464 - 60*b561 =L= 0;
e578.. x465 - 35*b564 =L= 0;
e579.. x466 - 35*b565 =L= 0;
e580.. x467 - 40*b510 =L= 0;
e581.. x468 - 50*b514 =L= 0;
e582.. x469 - 60*b517 =L= 0;
e583.. x470 - 35*b519 =L= 0;
e584.. x471 - 75*b521 =L= 0;
e585.. x472 - 40*b525 =L= 0;
e586.. x473 - 50*b529 =L= 0;
e587.. x474 - 60*b532 =L= 0;
e588.. x475 - 35*b534 =L= 0;
e589.. x476 - 75*b536 =L= 0;
e590.. x477 - 40*b540 =L= 0;
e591.. x478 - 50*b544 =L= 0;
e592.. x479 - 60*b547 =L= 0;
e593.. x480 - 35*b549 =L= 0;
e594.. x481 - 75*b551 =L= 0;
e595.. x482 - 40*b555 =L= 0;
e596.. x483 - 50*b559 =L= 0;
e597.. x484 - 60*b562 =L= 0;
e598.. x485 - 35*b564 =L= 0;
e599.. x486 - 75*b566 =L= 0;
e600.. x487 - 40*b511 =L= 0;
e601.. x488 - 50*b515 =L= 0;
e602.. x489 - 60*b518 =L= 0;
e603.. x490 - 35*b520 =L= 0;
e604.. x491 - 75*b521 =L= 0;
e605.. x492 - 40*b526 =L= 0;
e606.. x493 - 50*b530 =L= 0;
e607.. x494 - 60*b533 =L= 0;
e608.. x495 - 35*b535 =L= 0;
e609.. x496 - 75*b536 =L= 0;
e610.. x497 - 40*b541 =L= 0;
e611.. x498 - 50*b545 =L= 0;
e612.. x499 - 60*b548 =L= 0;
e613.. x500 - 35*b550 =L= 0;
e614.. x501 - 75*b551 =L= 0;
e615.. x502 - 40*b556 =L= 0;
e616.. x503 - 50*b560 =L= 0;
e617.. x504 - 60*b563 =L= 0;
e618.. x505 - 35*b565 =L= 0;
e619.. x506 - 75*b566 =L= 0;
e620.. x27 - x47 + x267 =L= 0;
e621.. x28 - x67 + x268 =L= 0;
e622.. x29 - x87 + x269 =L= 0;
e623.. x30 - x107 + x270 =L= 0;
e624.. x31 - x127 + x271 =L= 0;
e625.. x48 - x68 + x288 =L= 0;
e626.. x49 - x88 + x289 =L= 0;
e627.. x50 - x108 + x290 =L= 0;
e628.. x51 - x128 + x291 =L= 0;
e629.. x69 - x89 + x309 =L= 0;
e630.. x70 - x109 + x310 =L= 0;
e631.. x71 - x129 + x311 =L= 0;
e632.. x90 - x110 + x330 =L= 0;
e633.. x91 - x130 + x331 =L= 0;
e634.. x111 - x131 + x351 =L= 0;
e635.. - x32 + x52 + x292 =L= 0;
e636.. - x33 + x72 + x312 =L= 0;
e637.. - x34 + x92 + x332 =L= 0;
e638.. - x35 + x112 + x352 =L= 0;
e639.. - x36 + x132 + x372 =L= 0;
e640.. - x53 + x73 + x313 =L= 0;
e641.. - x54 + x93 + x333 =L= 0;
e642.. - x55 + x113 + x353 =L= 0;
e643.. - x56 + x133 + x373 =L= 0;
e644.. - x74 + x94 + x334 =L= 0;
e645.. - x75 + x114 + x354 =L= 0;
e646.. - x76 + x134 + x374 =L= 0;
e647.. - x95 + x115 + x355 =L= 0;
e648.. - x96 + x135 + x375 =L= 0;
e649.. - x116 + x136 + x376 =L= 0;
e650.. x157 - x177 + x397 =L= 0;
e651.. x158 - x197 + x398 =L= 0;
e652.. x159 - x217 + x399 =L= 0;
e653.. x160 - x237 + x400 =L= 0;
e654.. x161 - x257 + x401 =L= 0;
e655.. x178 - x198 + x418 =L= 0;
e656.. x179 - x218 + x419 =L= 0;
e657.. x180 - x238 + x420 =L= 0;
e658.. x181 - x258 + x421 =L= 0;
e659.. x199 - x219 + x439 =L= 0;
e660.. x200 - x239 + x440 =L= 0;
e661.. x201 - x259 + x441 =L= 0;
e662.. x220 - x240 + x460 =L= 0;
e663.. x221 - x260 + x461 =L= 0;
e664.. x241 - x261 + x481 =L= 0;
e665.. - x162 + x182 + x422 =L= 0;
e666.. - x163 + x202 + x442 =L= 0;
e667.. - x164 + x222 + x462 =L= 0;
e668.. - x165 + x242 + x482 =L= 0;
e669.. - x166 + x262 + x502 =L= 0;
e670.. - x183 + x203 + x443 =L= 0;
e671.. - x184 + x223 + x463 =L= 0;
e672.. - x185 + x243 + x483 =L= 0;
e673.. - x186 + x263 + x503 =L= 0;
e674.. - x204 + x224 + x464 =L= 0;
e675.. - x205 + x244 + x484 =L= 0;
e676.. - x206 + x264 + x504 =L= 0;
e677.. - x225 + x245 + x485 =L= 0;
e678.. - x226 + x265 + x505 =L= 0;
e679.. - x246 + x266 + x506 =L= 0;
e680.. b507 + b522 + b537 + b552 =E= 1;
e681.. b508 + b523 + b538 + b553 =E= 1;
e682.. b509 + b524 + b539 + b554 =E= 1;
e683.. b510 + b525 + b540 + b555 =E= 1;
e684.. b511 + b526 + b541 + b556 =E= 1;
e685.. b512 + b527 + b542 + b557 =E= 1;
e686.. b513 + b528 + b543 + b558 =E= 1;
e687.. b514 + b529 + b544 + b559 =E= 1;
e688.. b515 + b530 + b545 + b560 =E= 1;
e689.. b516 + b531 + b546 + b561 =E= 1;
e690.. b517 + b532 + b547 + b562 =E= 1;
e691.. b518 + b533 + b548 + b563 =E= 1;
e692.. b519 + b534 + b549 + b564 =E= 1;
e693.. b520 + b535 + b550 + b565 =E= 1;
e694.. b521 + b536 + b551 + b566 =E= 1;
* set non-default bounds
x1.up = 29;
x2.up = 29;
x3.up = 29;
x4.up = 29;
x5.up = 29;
x6.up = 29;
x7.up = 29;
x8.up = 29;
x9.up = 29;
x10.up = 29;
x11.up = 29;
x12.up = 29;
x13.lo = 1; x13.up = 40;
x14.lo = 1; x14.up = 50;
x15.lo = 1; x15.up = 60;
x16.lo = 1; x16.up = 35;
x17.lo = 1; x17.up = 75;
x18.lo = 1; x18.up = 20;
x19.lo = 1; x19.up = 40;
x20.lo = 1; x20.up = 50;
x21.lo = 1; x21.up = 60;
x22.lo = 1; x22.up = 35;
x23.lo = 1; x23.up = 75;
x24.lo = 1; x24.up = 20;
x25.up = 30;
x26.up = 30;
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