MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn15m04h

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
4937.47838500 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
4937.48492700 (ALPHAECP)
4937.47839000 (ANTIGONE)
4937.47839000 (BARON)
4937.47838600 (BONMIN)
4937.47838500 (LINDO)
4937.47885500 (SCIP)
4937.47893200 (SHOT)
References Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339.
Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978.
Source Syn15M04H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by syn15m04hfsg.
Problem type MBNLP
#Variables 604
#Binary Variables 120
#Integer Variables 0
#Nonlinear Variables 124
#Nonlinear Binary Variables 40
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 104
#Nonlinear Nonzeros in Objective 0
#Constraints 1114
#Linear Constraints 1070
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 44
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 2442
#Nonlinear Nonzeros in Jacobian 132
#Nonzeros in (Upper-Left) Hessian of Lagrangian 252
#Nonzeros in Diagonal of Hessian of Lagrangian 84
#Blocks in Hessian of Lagrangian 40
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.1
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
Maximal coefficient 6.0000e+02
Infeasibility of initial point 1
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
*       1115      397       80      638        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        605      485      120        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2547     2415      132        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,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,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,b577,b578,b579,b580,b581,b582,b583
          ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596
          ,b597,b598,b599,b600,b601,b602,b603,b604,b605;

Positive Variables  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;

Binary Variables  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,b577,b578,b579,b580,b581,b582,b583,b584,b585,b586,b587,b588
          ,b589,b590,b591,b592,b593,b594,b595,b596,b597,b598,b599,b600,b601
          ,b602,b603,b604,b605;

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,e814,e815,e816,e817,e818
          ,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
          ,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
          ,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
          ,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
          ,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
          ,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
          ,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
          ,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
          ,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
          ,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
          ,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
          ,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
          ,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
          ,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
          ,e1001,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
          ,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
          ,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
          ,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
          ,e1045,e1046,e1047,e1048,e1049,e1050,e1051,e1052,e1053,e1054,e1055
          ,e1056,e1057,e1058,e1059,e1060,e1061,e1062,e1063,e1064,e1065,e1066
          ,e1067,e1068,e1069,e1070,e1071,e1072,e1073,e1074,e1075,e1076,e1077
          ,e1078,e1079,e1080,e1081,e1082,e1083,e1084,e1085,e1086,e1087,e1088
          ,e1089,e1090,e1091,e1092,e1093,e1094,e1095,e1096,e1097,e1098,e1099
          ,e1100,e1101,e1102,e1103,e1104,e1105,e1106,e1107,e1108,e1109,e1110
          ,e1111,e1112,e1113,e1114,e1115;


e1..    objvar + x62 + x63 + x64 + x65 - 5*x86 - 10*x87 - 5*x88 - 10*x89
      + 2*x106 + x107 + 2*x108 + x109 - 500*x158 - 600*x159 - 350*x160
      - 400*x161 - 350*x162 - 400*x163 - 450*x164 - 400*x165 + 10*x174 + 5*x175
      + 5*x176 + 10*x177 + 5*x178 + 5*x179 + 5*x180 + 10*x181 - 180*x206
      - 130*x207 - 215*x208 - 210*x209 - 110*x210 - 120*x211 - 125*x212
      - 130*x213 - 110*x214 - 130*x215 - 140*x216 - 140*x217 - 280*x218
      - 290*x219 - 220*x220 - 200*x221 + 5*b546 + 4*b547 + 6*b548 + 3*b549
      + 8*b550 + 7*b551 + 6*b552 + 5*b553 + 6*b554 + 9*b555 + 4*b556 + 3*b557
      + 10*b558 + 9*b559 + 5*b560 + 6*b561 + 6*b562 + 10*b563 + 6*b564 + 9*b565
      + 7*b566 + 7*b567 + 4*b568 + 2*b569 + 4*b570 + 3*b571 + 2*b572 + 8*b573
      + 5*b574 + 6*b575 + 7*b576 + 4*b577 + 2*b578 + 5*b579 + 2*b580 + 6*b581
      + 4*b582 + 7*b583 + 4*b584 + 7*b585 + 3*b586 + 9*b587 + 3*b588 + 6*b589
      + 7*b590 + 2*b591 + 9*b592 + 6*b593 + 3*b594 + b595 + 9*b596 + 10*b597
      + 2*b598 + 6*b599 + 3*b600 + 7*b601 + 4*b602 + 8*b603 + b604 + 4*b605
      =E= 0;

e2..    x62 - x66 - x70 =E= 0;

e3..    x63 - x67 - x71 =E= 0;

e4..    x64 - x68 - x72 =E= 0;

e5..    x65 - x69 - x73 =E= 0;

e6..  - x74 - x78 + x82 =E= 0;

e7..  - x75 - x79 + x83 =E= 0;

e8..  - x76 - x80 + x84 =E= 0;

e9..  - x77 - x81 + x85 =E= 0;

e10..    x82 - x86 - x90 =E= 0;

e11..    x83 - x87 - x91 =E= 0;

e12..    x84 - x88 - x92 =E= 0;

e13..    x85 - x89 - x93 =E= 0;

e14..    x90 - x94 - x98 - x102 =E= 0;

e15..    x91 - x95 - x99 - x103 =E= 0;

e16..    x92 - x96 - x100 - x104 =E= 0;

e17..    x93 - x97 - x101 - x105 =E= 0;

e18..    x110 - x122 - x126 =E= 0;

e19..    x111 - x123 - x127 =E= 0;

e20..    x112 - x124 - x128 =E= 0;

e21..    x113 - x125 - x129 =E= 0;

e22..    x118 - x130 - x134 - x138 =E= 0;

e23..    x119 - x131 - x135 - x139 =E= 0;

e24..    x120 - x132 - x136 - x140 =E= 0;

e25..    x121 - x133 - x137 - x141 =E= 0;

e26..    x150 - x166 - x170 =E= 0;

e27..    x151 - x167 - x171 =E= 0;

e28..    x152 - x168 - x172 =E= 0;

e29..    x153 - x169 - x173 =E= 0;

e30..  - x154 - x178 + x182 =E= 0;

e31..  - x155 - x179 + x183 =E= 0;

e32..  - x156 - x180 + x184 =E= 0;

e33..  - x157 - x181 + x185 =E= 0;

e34..    x158 - x186 - x190 =E= 0;

e35..    x159 - x187 - x191 =E= 0;

e36..    x160 - x188 - x192 =E= 0;

e37..    x161 - x189 - x193 =E= 0;

e38..    x162 - x194 - x198 - x202 =E= 0;

e39..    x163 - x195 - x199 - x203 =E= 0;

e40..    x164 - x196 - x200 - x204 =E= 0;

e41..    x165 - x197 - x201 - x205 =E= 0;

e42.. (x238/(1e-6 + b486) - log(1 + x222/(1e-6 + b486)))*(1e-6 + b486) =L= 0;

e43.. (x239/(1e-6 + b487) - log(1 + x223/(1e-6 + b487)))*(1e-6 + b487) =L= 0;

e44.. (x240/(1e-6 + b488) - log(1 + x224/(1e-6 + b488)))*(1e-6 + b488) =L= 0;

e45.. (x241/(1e-6 + b489) - log(1 + x225/(1e-6 + b489)))*(1e-6 + b489) =L= 0;

e46..    x226 =E= 0;

e47..    x227 =E= 0;

e48..    x228 =E= 0;

e49..    x229 =E= 0;

e50..    x242 =E= 0;

e51..    x243 =E= 0;

e52..    x244 =E= 0;

e53..    x245 =E= 0;

e54..    x66 - x222 - x226 =E= 0;

e55..    x67 - x223 - x227 =E= 0;

e56..    x68 - x224 - x228 =E= 0;

e57..    x69 - x225 - x229 =E= 0;

e58..    x74 - x238 - x242 =E= 0;

e59..    x75 - x239 - x243 =E= 0;

e60..    x76 - x240 - x244 =E= 0;

e61..    x77 - x241 - x245 =E= 0;

e62..    x222 - 40*b486 =L= 0;

e63..    x223 - 40*b487 =L= 0;

e64..    x224 - 40*b488 =L= 0;

e65..    x225 - 40*b489 =L= 0;

e66..    x226 + 40*b486 =L= 40;

e67..    x227 + 40*b487 =L= 40;

e68..    x228 + 40*b488 =L= 40;

e69..    x229 + 40*b489 =L= 40;

e70..    x238 - 3.71357206670431*b486 =L= 0;

e71..    x239 - 3.71357206670431*b487 =L= 0;

e72..    x240 - 3.71357206670431*b488 =L= 0;

e73..    x241 - 3.71357206670431*b489 =L= 0;

e74..    x242 + 3.71357206670431*b486 =L= 3.71357206670431;

e75..    x243 + 3.71357206670431*b487 =L= 3.71357206670431;

e76..    x244 + 3.71357206670431*b488 =L= 3.71357206670431;

e77..    x245 + 3.71357206670431*b489 =L= 3.71357206670431;

e78.. (x246/(1e-6 + b490) - 1.2*log(1 + x230/(1e-6 + b490)))*(1e-6 + b490)
       =L= 0;

e79.. (x247/(1e-6 + b491) - 1.2*log(1 + x231/(1e-6 + b491)))*(1e-6 + b491)
       =L= 0;

e80.. (x248/(1e-6 + b492) - 1.2*log(1 + x232/(1e-6 + b492)))*(1e-6 + b492)
       =L= 0;

e81.. (x249/(1e-6 + b493) - 1.2*log(1 + x233/(1e-6 + b493)))*(1e-6 + b493)
       =L= 0;

e82..    x234 =E= 0;

e83..    x235 =E= 0;

e84..    x236 =E= 0;

e85..    x237 =E= 0;

e86..    x250 =E= 0;

e87..    x251 =E= 0;

e88..    x252 =E= 0;

e89..    x253 =E= 0;

e90..    x70 - x230 - x234 =E= 0;

e91..    x71 - x231 - x235 =E= 0;

e92..    x72 - x232 - x236 =E= 0;

e93..    x73 - x233 - x237 =E= 0;

e94..    x78 - x246 - x250 =E= 0;

e95..    x79 - x247 - x251 =E= 0;

e96..    x80 - x248 - x252 =E= 0;

e97..    x81 - x249 - x253 =E= 0;

e98..    x230 - 40*b490 =L= 0;

e99..    x231 - 40*b491 =L= 0;

e100..    x232 - 40*b492 =L= 0;

e101..    x233 - 40*b493 =L= 0;

e102..    x234 + 40*b490 =L= 40;

e103..    x235 + 40*b491 =L= 40;

e104..    x236 + 40*b492 =L= 40;

e105..    x237 + 40*b493 =L= 40;

e106..    x246 - 4.45628648004517*b490 =L= 0;

e107..    x247 - 4.45628648004517*b491 =L= 0;

e108..    x248 - 4.45628648004517*b492 =L= 0;

e109..    x249 - 4.45628648004517*b493 =L= 0;

e110..    x250 + 4.45628648004517*b490 =L= 4.45628648004517;

e111..    x251 + 4.45628648004517*b491 =L= 4.45628648004517;

e112..    x252 + 4.45628648004517*b492 =L= 4.45628648004517;

e113..    x253 + 4.45628648004517*b493 =L= 4.45628648004517;

e114..  - 0.75*x254 + x286 =E= 0;

e115..  - 0.75*x255 + x287 =E= 0;

e116..  - 0.75*x256 + x288 =E= 0;

e117..  - 0.75*x257 + x289 =E= 0;

e118..    x258 =E= 0;

e119..    x259 =E= 0;

e120..    x260 =E= 0;

e121..    x261 =E= 0;

e122..    x290 =E= 0;

e123..    x291 =E= 0;

e124..    x292 =E= 0;

e125..    x293 =E= 0;

e126..    x94 - x254 - x258 =E= 0;

e127..    x95 - x255 - x259 =E= 0;

e128..    x96 - x256 - x260 =E= 0;

e129..    x97 - x257 - x261 =E= 0;

e130..    x110 - x286 - x290 =E= 0;

e131..    x111 - x287 - x291 =E= 0;

e132..    x112 - x288 - x292 =E= 0;

e133..    x113 - x289 - x293 =E= 0;

e134..    x254 - 4.45628648004517*b494 =L= 0;

e135..    x255 - 4.45628648004517*b495 =L= 0;

e136..    x256 - 4.45628648004517*b496 =L= 0;

e137..    x257 - 4.45628648004517*b497 =L= 0;

e138..    x258 + 4.45628648004517*b494 =L= 4.45628648004517;

e139..    x259 + 4.45628648004517*b495 =L= 4.45628648004517;

e140..    x260 + 4.45628648004517*b496 =L= 4.45628648004517;

e141..    x261 + 4.45628648004517*b497 =L= 4.45628648004517;

e142..    x286 - 3.34221486003388*b494 =L= 0;

e143..    x287 - 3.34221486003388*b495 =L= 0;

e144..    x288 - 3.34221486003388*b496 =L= 0;

e145..    x289 - 3.34221486003388*b497 =L= 0;

e146..    x290 + 3.34221486003388*b494 =L= 3.34221486003388;

e147..    x291 + 3.34221486003388*b495 =L= 3.34221486003388;

e148..    x292 + 3.34221486003388*b496 =L= 3.34221486003388;

e149..    x293 + 3.34221486003388*b497 =L= 3.34221486003388;

e150.. (x294/(1e-6 + b498) - 1.5*log(1 + x262/(1e-6 + b498)))*(1e-6 + b498)
        =L= 0;

e151.. (x295/(1e-6 + b499) - 1.5*log(1 + x263/(1e-6 + b499)))*(1e-6 + b499)
        =L= 0;

e152.. (x296/(1e-6 + b500) - 1.5*log(1 + x264/(1e-6 + b500)))*(1e-6 + b500)
        =L= 0;

e153.. (x297/(1e-6 + b501) - 1.5*log(1 + x265/(1e-6 + b501)))*(1e-6 + b501)
        =L= 0;

e154..    x266 =E= 0;

e155..    x267 =E= 0;

e156..    x268 =E= 0;

e157..    x269 =E= 0;

e158..    x302 =E= 0;

e159..    x303 =E= 0;

e160..    x304 =E= 0;

e161..    x305 =E= 0;

e162..    x98 - x262 - x266 =E= 0;

e163..    x99 - x263 - x267 =E= 0;

e164..    x100 - x264 - x268 =E= 0;

e165..    x101 - x265 - x269 =E= 0;

e166..    x114 - x294 - x302 =E= 0;

e167..    x115 - x295 - x303 =E= 0;

e168..    x116 - x296 - x304 =E= 0;

e169..    x117 - x297 - x305 =E= 0;

e170..    x262 - 4.45628648004517*b498 =L= 0;

e171..    x263 - 4.45628648004517*b499 =L= 0;

e172..    x264 - 4.45628648004517*b500 =L= 0;

e173..    x265 - 4.45628648004517*b501 =L= 0;

e174..    x266 + 4.45628648004517*b498 =L= 4.45628648004517;

e175..    x267 + 4.45628648004517*b499 =L= 4.45628648004517;

e176..    x268 + 4.45628648004517*b500 =L= 4.45628648004517;

e177..    x269 + 4.45628648004517*b501 =L= 4.45628648004517;

e178..    x294 - 2.54515263975353*b498 =L= 0;

e179..    x295 - 2.54515263975353*b499 =L= 0;

e180..    x296 - 2.54515263975353*b500 =L= 0;

e181..    x297 - 2.54515263975353*b501 =L= 0;

e182..    x302 + 2.54515263975353*b498 =L= 2.54515263975353;

e183..    x303 + 2.54515263975353*b499 =L= 2.54515263975353;

e184..    x304 + 2.54515263975353*b500 =L= 2.54515263975353;

e185..    x305 + 2.54515263975353*b501 =L= 2.54515263975353;

e186..  - x270 + x310 =E= 0;

e187..  - x271 + x311 =E= 0;

e188..  - x272 + x312 =E= 0;

e189..  - x273 + x313 =E= 0;

e190..  - 0.5*x278 + x310 =E= 0;

e191..  - 0.5*x279 + x311 =E= 0;

e192..  - 0.5*x280 + x312 =E= 0;

e193..  - 0.5*x281 + x313 =E= 0;

e194..    x274 =E= 0;

e195..    x275 =E= 0;

e196..    x276 =E= 0;

e197..    x277 =E= 0;

e198..    x282 =E= 0;

e199..    x283 =E= 0;

e200..    x284 =E= 0;

e201..    x285 =E= 0;

e202..    x314 =E= 0;

e203..    x315 =E= 0;

e204..    x316 =E= 0;

e205..    x317 =E= 0;

e206..    x102 - x270 - x274 =E= 0;

e207..    x103 - x271 - x275 =E= 0;

e208..    x104 - x272 - x276 =E= 0;

e209..    x105 - x273 - x277 =E= 0;

e210..    x106 - x278 - x282 =E= 0;

e211..    x107 - x279 - x283 =E= 0;

e212..    x108 - x280 - x284 =E= 0;

e213..    x109 - x281 - x285 =E= 0;

e214..    x118 - x310 - x314 =E= 0;

e215..    x119 - x311 - x315 =E= 0;

e216..    x120 - x312 - x316 =E= 0;

e217..    x121 - x313 - x317 =E= 0;

e218..    x270 - 4.45628648004517*b502 =L= 0;

e219..    x271 - 4.45628648004517*b503 =L= 0;

e220..    x272 - 4.45628648004517*b504 =L= 0;

e221..    x273 - 4.45628648004517*b505 =L= 0;

e222..    x274 + 4.45628648004517*b502 =L= 4.45628648004517;

e223..    x275 + 4.45628648004517*b503 =L= 4.45628648004517;

e224..    x276 + 4.45628648004517*b504 =L= 4.45628648004517;

e225..    x277 + 4.45628648004517*b505 =L= 4.45628648004517;

e226..    x278 - 30*b502 =L= 0;

e227..    x279 - 30*b503 =L= 0;

e228..    x280 - 30*b504 =L= 0;

e229..    x281 - 30*b505 =L= 0;

e230..    x282 + 30*b502 =L= 30;

e231..    x283 + 30*b503 =L= 30;

e232..    x284 + 30*b504 =L= 30;

e233..    x285 + 30*b505 =L= 30;

e234..    x310 - 15*b502 =L= 0;

e235..    x311 - 15*b503 =L= 0;

e236..    x312 - 15*b504 =L= 0;

e237..    x313 - 15*b505 =L= 0;

e238..    x314 + 15*b502 =L= 15;

e239..    x315 + 15*b503 =L= 15;

e240..    x316 + 15*b504 =L= 15;

e241..    x317 + 15*b505 =L= 15;

e242.. (x358/(1e-6 + b506) - 1.25*log(1 + x318/(1e-6 + b506)))*(1e-6 + b506)
        =L= 0;

e243.. (x359/(1e-6 + b507) - 1.25*log(1 + x319/(1e-6 + b507)))*(1e-6 + b507)
        =L= 0;

e244.. (x360/(1e-6 + b508) - 1.25*log(1 + x320/(1e-6 + b508)))*(1e-6 + b508)
        =L= 0;

e245.. (x361/(1e-6 + b509) - 1.25*log(1 + x321/(1e-6 + b509)))*(1e-6 + b509)
        =L= 0;

e246..    x322 =E= 0;

e247..    x323 =E= 0;

e248..    x324 =E= 0;

e249..    x325 =E= 0;

e250..    x366 =E= 0;

e251..    x367 =E= 0;

e252..    x368 =E= 0;

e253..    x369 =E= 0;

e254..    x122 - x318 - x322 =E= 0;

e255..    x123 - x319 - x323 =E= 0;

e256..    x124 - x320 - x324 =E= 0;

e257..    x125 - x321 - x325 =E= 0;

e258..    x142 - x358 - x366 =E= 0;

e259..    x143 - x359 - x367 =E= 0;

e260..    x144 - x360 - x368 =E= 0;

e261..    x145 - x361 - x369 =E= 0;

e262..    x318 - 3.34221486003388*b506 =L= 0;

e263..    x319 - 3.34221486003388*b507 =L= 0;

e264..    x320 - 3.34221486003388*b508 =L= 0;

e265..    x321 - 3.34221486003388*b509 =L= 0;

e266..    x322 + 3.34221486003388*b506 =L= 3.34221486003388;

e267..    x323 + 3.34221486003388*b507 =L= 3.34221486003388;

e268..    x324 + 3.34221486003388*b508 =L= 3.34221486003388;

e269..    x325 + 3.34221486003388*b509 =L= 3.34221486003388;

e270..    x358 - 1.83548069293539*b506 =L= 0;

e271..    x359 - 1.83548069293539*b507 =L= 0;

e272..    x360 - 1.83548069293539*b508 =L= 0;

e273..    x361 - 1.83548069293539*b509 =L= 0;

e274..    x366 + 1.83548069293539*b506 =L= 1.83548069293539;

e275..    x367 + 1.83548069293539*b507 =L= 1.83548069293539;

e276..    x368 + 1.83548069293539*b508 =L= 1.83548069293539;

e277..    x369 + 1.83548069293539*b509 =L= 1.83548069293539;

e278.. (x374/(1e-6 + b510) - 0.9*log(1 + x326/(1e-6 + b510)))*(1e-6 + b510)
        =L= 0;

e279.. (x375/(1e-6 + b511) - 0.9*log(1 + x327/(1e-6 + b511)))*(1e-6 + b511)
        =L= 0;

e280.. (x376/(1e-6 + b512) - 0.9*log(1 + x328/(1e-6 + b512)))*(1e-6 + b512)
        =L= 0;

e281.. (x377/(1e-6 + b513) - 0.9*log(1 + x329/(1e-6 + b513)))*(1e-6 + b513)
        =L= 0;

e282..    x330 =E= 0;

e283..    x331 =E= 0;

e284..    x332 =E= 0;

e285..    x333 =E= 0;

e286..    x382 =E= 0;

e287..    x383 =E= 0;

e288..    x384 =E= 0;

e289..    x385 =E= 0;

e290..    x126 - x326 - x330 =E= 0;

e291..    x127 - x327 - x331 =E= 0;

e292..    x128 - x328 - x332 =E= 0;

e293..    x129 - x329 - x333 =E= 0;

e294..    x146 - x374 - x382 =E= 0;

e295..    x147 - x375 - x383 =E= 0;

e296..    x148 - x376 - x384 =E= 0;

e297..    x149 - x377 - x385 =E= 0;

e298..    x326 - 3.34221486003388*b510 =L= 0;

e299..    x327 - 3.34221486003388*b511 =L= 0;

e300..    x328 - 3.34221486003388*b512 =L= 0;

e301..    x329 - 3.34221486003388*b513 =L= 0;

e302..    x330 + 3.34221486003388*b510 =L= 3.34221486003388;

e303..    x331 + 3.34221486003388*b511 =L= 3.34221486003388;

e304..    x332 + 3.34221486003388*b512 =L= 3.34221486003388;

e305..    x333 + 3.34221486003388*b513 =L= 3.34221486003388;

e306..    x374 - 1.32154609891348*b510 =L= 0;

e307..    x375 - 1.32154609891348*b511 =L= 0;

e308..    x376 - 1.32154609891348*b512 =L= 0;

e309..    x377 - 1.32154609891348*b513 =L= 0;

e310..    x382 + 1.32154609891348*b510 =L= 1.32154609891348;

e311..    x383 + 1.32154609891348*b511 =L= 1.32154609891348;

e312..    x384 + 1.32154609891348*b512 =L= 1.32154609891348;

e313..    x385 + 1.32154609891348*b513 =L= 1.32154609891348;

e314.. (x390/(1e-6 + b514) - log(1 + x298/(1e-6 + b514)))*(1e-6 + b514) =L= 0;

e315.. (x391/(1e-6 + b515) - log(1 + x299/(1e-6 + b515)))*(1e-6 + b515) =L= 0;

e316.. (x392/(1e-6 + b516) - log(1 + x300/(1e-6 + b516)))*(1e-6 + b516) =L= 0;

e317.. (x393/(1e-6 + b517) - log(1 + x301/(1e-6 + b517)))*(1e-6 + b517) =L= 0;

e318..    x306 =E= 0;

e319..    x307 =E= 0;

e320..    x308 =E= 0;

e321..    x309 =E= 0;

e322..    x394 =E= 0;

e323..    x395 =E= 0;

e324..    x396 =E= 0;

e325..    x397 =E= 0;

e326..    x114 - x298 - x306 =E= 0;

e327..    x115 - x299 - x307 =E= 0;

e328..    x116 - x300 - x308 =E= 0;

e329..    x117 - x301 - x309 =E= 0;

e330..    x150 - x390 - x394 =E= 0;

e331..    x151 - x391 - x395 =E= 0;

e332..    x152 - x392 - x396 =E= 0;

e333..    x153 - x393 - x397 =E= 0;

e334..    x298 - 2.54515263975353*b514 =L= 0;

e335..    x299 - 2.54515263975353*b515 =L= 0;

e336..    x300 - 2.54515263975353*b516 =L= 0;

e337..    x301 - 2.54515263975353*b517 =L= 0;

e338..    x306 + 2.54515263975353*b514 =L= 2.54515263975353;

e339..    x307 + 2.54515263975353*b515 =L= 2.54515263975353;

e340..    x308 + 2.54515263975353*b516 =L= 2.54515263975353;

e341..    x309 + 2.54515263975353*b517 =L= 2.54515263975353;

e342..    x390 - 1.26558121681553*b514 =L= 0;

e343..    x391 - 1.26558121681553*b515 =L= 0;

e344..    x392 - 1.26558121681553*b516 =L= 0;

e345..    x393 - 1.26558121681553*b517 =L= 0;

e346..    x394 + 1.26558121681553*b514 =L= 1.26558121681553;

e347..    x395 + 1.26558121681553*b515 =L= 1.26558121681553;

e348..    x396 + 1.26558121681553*b516 =L= 1.26558121681553;

e349..    x397 + 1.26558121681553*b517 =L= 1.26558121681553;

e350..  - 0.9*x334 + x398 =E= 0;

e351..  - 0.9*x335 + x399 =E= 0;

e352..  - 0.9*x336 + x400 =E= 0;

e353..  - 0.9*x337 + x401 =E= 0;

e354..    x338 =E= 0;

e355..    x339 =E= 0;

e356..    x340 =E= 0;

e357..    x341 =E= 0;

e358..    x402 =E= 0;

e359..    x403 =E= 0;

e360..    x404 =E= 0;

e361..    x405 =E= 0;

e362..    x130 - x334 - x338 =E= 0;

e363..    x131 - x335 - x339 =E= 0;

e364..    x132 - x336 - x340 =E= 0;

e365..    x133 - x337 - x341 =E= 0;

e366..    x154 - x398 - x402 =E= 0;

e367..    x155 - x399 - x403 =E= 0;

e368..    x156 - x400 - x404 =E= 0;

e369..    x157 - x401 - x405 =E= 0;

e370..    x334 - 15*b518 =L= 0;

e371..    x335 - 15*b519 =L= 0;

e372..    x336 - 15*b520 =L= 0;

e373..    x337 - 15*b521 =L= 0;

e374..    x338 + 15*b518 =L= 15;

e375..    x339 + 15*b519 =L= 15;

e376..    x340 + 15*b520 =L= 15;

e377..    x341 + 15*b521 =L= 15;

e378..    x398 - 13.5*b518 =L= 0;

e379..    x399 - 13.5*b519 =L= 0;

e380..    x400 - 13.5*b520 =L= 0;

e381..    x401 - 13.5*b521 =L= 0;

e382..    x402 + 13.5*b518 =L= 13.5;

e383..    x403 + 13.5*b519 =L= 13.5;

e384..    x404 + 13.5*b520 =L= 13.5;

e385..    x405 + 13.5*b521 =L= 13.5;

e386..  - 0.6*x342 + x406 =E= 0;

e387..  - 0.6*x343 + x407 =E= 0;

e388..  - 0.6*x344 + x408 =E= 0;

e389..  - 0.6*x345 + x409 =E= 0;

e390..    x346 =E= 0;

e391..    x347 =E= 0;

e392..    x348 =E= 0;

e393..    x349 =E= 0;

e394..    x410 =E= 0;

e395..    x411 =E= 0;

e396..    x412 =E= 0;

e397..    x413 =E= 0;

e398..    x134 - x342 - x346 =E= 0;

e399..    x135 - x343 - x347 =E= 0;

e400..    x136 - x344 - x348 =E= 0;

e401..    x137 - x345 - x349 =E= 0;

e402..    x158 - x406 - x410 =E= 0;

e403..    x159 - x407 - x411 =E= 0;

e404..    x160 - x408 - x412 =E= 0;

e405..    x161 - x409 - x413 =E= 0;

e406..    x342 - 15*b522 =L= 0;

e407..    x343 - 15*b523 =L= 0;

e408..    x344 - 15*b524 =L= 0;

e409..    x345 - 15*b525 =L= 0;

e410..    x346 + 15*b522 =L= 15;

e411..    x347 + 15*b523 =L= 15;

e412..    x348 + 15*b524 =L= 15;

e413..    x349 + 15*b525 =L= 15;

e414..    x406 - 9*b522 =L= 0;

e415..    x407 - 9*b523 =L= 0;

e416..    x408 - 9*b524 =L= 0;

e417..    x409 - 9*b525 =L= 0;

e418..    x410 + 9*b522 =L= 9;

e419..    x411 + 9*b523 =L= 9;

e420..    x412 + 9*b524 =L= 9;

e421..    x413 + 9*b525 =L= 9;

e422.. (x414/(1e-6 + b526) - 1.1*log(1 + x350/(1e-6 + b526)))*(1e-6 + b526)
        =L= 0;

e423.. (x415/(1e-6 + b527) - 1.1*log(1 + x351/(1e-6 + b527)))*(1e-6 + b527)
        =L= 0;

e424.. (x416/(1e-6 + b528) - 1.1*log(1 + x352/(1e-6 + b528)))*(1e-6 + b528)
        =L= 0;

e425.. (x417/(1e-6 + b529) - 1.1*log(1 + x353/(1e-6 + b529)))*(1e-6 + b529)
        =L= 0;

e426..    x354 =E= 0;

e427..    x355 =E= 0;

e428..    x356 =E= 0;

e429..    x357 =E= 0;

e430..    x418 =E= 0;

e431..    x419 =E= 0;

e432..    x420 =E= 0;

e433..    x421 =E= 0;

e434..    x138 - x350 - x354 =E= 0;

e435..    x139 - x351 - x355 =E= 0;

e436..    x140 - x352 - x356 =E= 0;

e437..    x141 - x353 - x357 =E= 0;

e438..    x162 - x414 - x418 =E= 0;

e439..    x163 - x415 - x419 =E= 0;

e440..    x164 - x416 - x420 =E= 0;

e441..    x165 - x417 - x421 =E= 0;

e442..    x350 - 15*b526 =L= 0;

e443..    x351 - 15*b527 =L= 0;

e444..    x352 - 15*b528 =L= 0;

e445..    x353 - 15*b529 =L= 0;

e446..    x354 + 15*b526 =L= 15;

e447..    x355 + 15*b527 =L= 15;

e448..    x356 + 15*b528 =L= 15;

e449..    x357 + 15*b529 =L= 15;

e450..    x414 - 3.04984759446376*b526 =L= 0;

e451..    x415 - 3.04984759446376*b527 =L= 0;

e452..    x416 - 3.04984759446376*b528 =L= 0;

e453..    x417 - 3.04984759446376*b529 =L= 0;

e454..    x418 + 3.04984759446376*b526 =L= 3.04984759446376;

e455..    x419 + 3.04984759446376*b527 =L= 3.04984759446376;

e456..    x420 + 3.04984759446376*b528 =L= 3.04984759446376;

e457..    x421 + 3.04984759446376*b529 =L= 3.04984759446376;

e458..  - 0.9*x362 + x454 =E= 0;

e459..  - 0.9*x363 + x455 =E= 0;

e460..  - 0.9*x364 + x456 =E= 0;

e461..  - 0.9*x365 + x457 =E= 0;

e462..  - x438 + x454 =E= 0;

e463..  - x439 + x455 =E= 0;

e464..  - x440 + x456 =E= 0;

e465..  - x441 + x457 =E= 0;

e466..    x370 =E= 0;

e467..    x371 =E= 0;

e468..    x372 =E= 0;

e469..    x373 =E= 0;

e470..    x442 =E= 0;

e471..    x443 =E= 0;

e472..    x444 =E= 0;

e473..    x445 =E= 0;

e474..    x458 =E= 0;

e475..    x459 =E= 0;

e476..    x460 =E= 0;

e477..    x461 =E= 0;

e478..    x142 - x362 - x370 =E= 0;

e479..    x143 - x363 - x371 =E= 0;

e480..    x144 - x364 - x372 =E= 0;

e481..    x145 - x365 - x373 =E= 0;

e482..    x174 - x438 - x442 =E= 0;

e483..    x175 - x439 - x443 =E= 0;

e484..    x176 - x440 - x444 =E= 0;

e485..    x177 - x441 - x445 =E= 0;

e486..    x206 - x454 - x458 =E= 0;

e487..    x207 - x455 - x459 =E= 0;

e488..    x208 - x456 - x460 =E= 0;

e489..    x209 - x457 - x461 =E= 0;

e490..    x362 - 1.83548069293539*b530 =L= 0;

e491..    x363 - 1.83548069293539*b531 =L= 0;

e492..    x364 - 1.83548069293539*b532 =L= 0;

e493..    x365 - 1.83548069293539*b533 =L= 0;

e494..    x370 + 1.83548069293539*b530 =L= 1.83548069293539;

e495..    x371 + 1.83548069293539*b531 =L= 1.83548069293539;

e496..    x372 + 1.83548069293539*b532 =L= 1.83548069293539;

e497..    x373 + 1.83548069293539*b533 =L= 1.83548069293539;

e498..    x438 - 20*b530 =L= 0;

e499..    x439 - 20*b531 =L= 0;

e500..    x440 - 20*b532 =L= 0;

e501..    x441 - 20*b533 =L= 0;

e502..    x442 + 20*b530 =L= 20;

e503..    x443 + 20*b531 =L= 20;

e504..    x444 + 20*b532 =L= 20;

e505..    x445 + 20*b533 =L= 20;

e506..    x454 - 20*b530 =L= 0;

e507..    x455 - 20*b531 =L= 0;

e508..    x456 - 20*b532 =L= 0;

e509..    x457 - 20*b533 =L= 0;

e510..    x458 + 20*b530 =L= 20;

e511..    x459 + 20*b531 =L= 20;

e512..    x460 + 20*b532 =L= 20;

e513..    x461 + 20*b533 =L= 20;

e514.. (x462/(1e-6 + b534) - log(1 + x378/(1e-6 + b534)))*(1e-6 + b534) =L= 0;

e515.. (x463/(1e-6 + b535) - log(1 + x379/(1e-6 + b535)))*(1e-6 + b535) =L= 0;

e516.. (x464/(1e-6 + b536) - log(1 + x380/(1e-6 + b536)))*(1e-6 + b536) =L= 0;

e517.. (x465/(1e-6 + b537) - log(1 + x381/(1e-6 + b537)))*(1e-6 + b537) =L= 0;

e518..    x386 =E= 0;

e519..    x387 =E= 0;

e520..    x388 =E= 0;

e521..    x389 =E= 0;

e522..    x466 =E= 0;

e523..    x467 =E= 0;

e524..    x468 =E= 0;

e525..    x469 =E= 0;

e526..    x146 - x378 - x386 =E= 0;

e527..    x147 - x379 - x387 =E= 0;

e528..    x148 - x380 - x388 =E= 0;

e529..    x149 - x381 - x389 =E= 0;

e530..    x210 - x462 - x466 =E= 0;

e531..    x211 - x463 - x467 =E= 0;

e532..    x212 - x464 - x468 =E= 0;

e533..    x213 - x465 - x469 =E= 0;

e534..    x378 - 1.32154609891348*b534 =L= 0;

e535..    x379 - 1.32154609891348*b535 =L= 0;

e536..    x380 - 1.32154609891348*b536 =L= 0;

e537..    x381 - 1.32154609891348*b537 =L= 0;

e538..    x386 + 1.32154609891348*b534 =L= 1.32154609891348;

e539..    x387 + 1.32154609891348*b535 =L= 1.32154609891348;

e540..    x388 + 1.32154609891348*b536 =L= 1.32154609891348;

e541..    x389 + 1.32154609891348*b537 =L= 1.32154609891348;

e542..    x462 - 0.842233385663186*b534 =L= 0;

e543..    x463 - 0.842233385663186*b535 =L= 0;

e544..    x464 - 0.842233385663186*b536 =L= 0;

e545..    x465 - 0.842233385663186*b537 =L= 0;

e546..    x466 + 0.842233385663186*b534 =L= 0.842233385663186;

e547..    x467 + 0.842233385663186*b535 =L= 0.842233385663186;

e548..    x468 + 0.842233385663186*b536 =L= 0.842233385663186;

e549..    x469 + 0.842233385663186*b537 =L= 0.842233385663186;

e550.. (x470/(1e-6 + b538) - 0.7*log(1 + x422/(1e-6 + b538)))*(1e-6 + b538)
        =L= 0;

e551.. (x471/(1e-6 + b539) - 0.7*log(1 + x423/(1e-6 + b539)))*(1e-6 + b539)
        =L= 0;

e552.. (x472/(1e-6 + b540) - 0.7*log(1 + x424/(1e-6 + b540)))*(1e-6 + b540)
        =L= 0;

e553.. (x473/(1e-6 + b541) - 0.7*log(1 + x425/(1e-6 + b541)))*(1e-6 + b541)
        =L= 0;

e554..    x426 =E= 0;

e555..    x427 =E= 0;

e556..    x428 =E= 0;

e557..    x429 =E= 0;

e558..    x474 =E= 0;

e559..    x475 =E= 0;

e560..    x476 =E= 0;

e561..    x477 =E= 0;

e562..    x166 - x422 - x426 =E= 0;

e563..    x167 - x423 - x427 =E= 0;

e564..    x168 - x424 - x428 =E= 0;

e565..    x169 - x425 - x429 =E= 0;

e566..    x214 - x470 - x474 =E= 0;

e567..    x215 - x471 - x475 =E= 0;

e568..    x216 - x472 - x476 =E= 0;

e569..    x217 - x473 - x477 =E= 0;

e570..    x422 - 1.26558121681553*b538 =L= 0;

e571..    x423 - 1.26558121681553*b539 =L= 0;

e572..    x424 - 1.26558121681553*b540 =L= 0;

e573..    x425 - 1.26558121681553*b541 =L= 0;

e574..    x426 + 1.26558121681553*b538 =L= 1.26558121681553;

e575..    x427 + 1.26558121681553*b539 =L= 1.26558121681553;

e576..    x428 + 1.26558121681553*b540 =L= 1.26558121681553;

e577..    x429 + 1.26558121681553*b541 =L= 1.26558121681553;

e578..    x470 - 0.572481933717686*b538 =L= 0;

e579..    x471 - 0.572481933717686*b539 =L= 0;

e580..    x472 - 0.572481933717686*b540 =L= 0;

e581..    x473 - 0.572481933717686*b541 =L= 0;

e582..    x474 + 0.572481933717686*b538 =L= 0.572481933717686;

e583..    x475 + 0.572481933717686*b539 =L= 0.572481933717686;

e584..    x476 + 0.572481933717686*b540 =L= 0.572481933717686;

e585..    x477 + 0.572481933717686*b541 =L= 0.572481933717686;

e586.. (x478/(1e-6 + b542) - 0.65*log(1 + x430/(1e-6 + b542)))*(1e-6 + b542)
        =L= 0;

e587.. (x479/(1e-6 + b543) - 0.65*log(1 + x431/(1e-6 + b543)))*(1e-6 + b543)
        =L= 0;

e588.. (x480/(1e-6 + b544) - 0.65*log(1 + x432/(1e-6 + b544)))*(1e-6 + b544)
        =L= 0;

e589.. (x481/(1e-6 + b545) - 0.65*log(1 + x433/(1e-6 + b545)))*(1e-6 + b545)
        =L= 0;

e590.. (x478/(1e-6 + b542) - 0.65*log(1 + x446/(1e-6 + b542)))*(1e-6 + b542)
        =L= 0;

e591.. (x479/(1e-6 + b543) - 0.65*log(1 + x447/(1e-6 + b543)))*(1e-6 + b543)
        =L= 0;

e592.. (x480/(1e-6 + b544) - 0.65*log(1 + x448/(1e-6 + b544)))*(1e-6 + b544)
        =L= 0;

e593.. (x481/(1e-6 + b545) - 0.65*log(1 + x449/(1e-6 + b545)))*(1e-6 + b545)
        =L= 0;

e594..    x434 =E= 0;

e595..    x435 =E= 0;

e596..    x436 =E= 0;

e597..    x437 =E= 0;

e598..    x450 =E= 0;

e599..    x451 =E= 0;

e600..    x452 =E= 0;

e601..    x453 =E= 0;

e602..    x482 =E= 0;

e603..    x483 =E= 0;

e604..    x484 =E= 0;

e605..    x485 =E= 0;

e606..    x170 - x430 - x434 =E= 0;

e607..    x171 - x431 - x435 =E= 0;

e608..    x172 - x432 - x436 =E= 0;

e609..    x173 - x433 - x437 =E= 0;

e610..    x182 - x446 - x450 =E= 0;

e611..    x183 - x447 - x451 =E= 0;

e612..    x184 - x448 - x452 =E= 0;

e613..    x185 - x449 - x453 =E= 0;

e614..    x218 - x478 - x482 =E= 0;

e615..    x219 - x479 - x483 =E= 0;

e616..    x220 - x480 - x484 =E= 0;

e617..    x221 - x481 - x485 =E= 0;

e618..    x430 - 1.26558121681553*b542 =L= 0;

e619..    x431 - 1.26558121681553*b543 =L= 0;

e620..    x432 - 1.26558121681553*b544 =L= 0;

e621..    x433 - 1.26558121681553*b545 =L= 0;

e622..    x434 + 1.26558121681553*b542 =L= 1.26558121681553;

e623..    x435 + 1.26558121681553*b543 =L= 1.26558121681553;

e624..    x436 + 1.26558121681553*b544 =L= 1.26558121681553;

e625..    x437 + 1.26558121681553*b545 =L= 1.26558121681553;

e626..    x446 - 33.5*b542 =L= 0;

e627..    x447 - 33.5*b543 =L= 0;

e628..    x448 - 33.5*b544 =L= 0;

e629..    x449 - 33.5*b545 =L= 0;

e630..    x450 + 33.5*b542 =L= 33.5;

e631..    x451 + 33.5*b543 =L= 33.5;

e632..    x452 + 33.5*b544 =L= 33.5;

e633..    x453 + 33.5*b545 =L= 33.5;

e634..    x478 - 2.30162356062425*b542 =L= 0;

e635..    x479 - 2.30162356062425*b543 =L= 0;

e636..    x480 - 2.30162356062425*b544 =L= 0;

e637..    x481 - 2.30162356062425*b545 =L= 0;

e638..    x482 + 2.30162356062425*b542 =L= 2.30162356062425;

e639..    x483 + 2.30162356062425*b543 =L= 2.30162356062425;

e640..    x484 + 2.30162356062425*b544 =L= 2.30162356062425;

e641..    x485 + 2.30162356062425*b545 =L= 2.30162356062425;

e642..    x2 + 5*b546 =E= 0;

e643..    x3 + 4*b547 =E= 0;

e644..    x4 + 6*b548 =E= 0;

e645..    x5 + 3*b549 =E= 0;

e646..    x6 + 8*b550 =E= 0;

e647..    x7 + 7*b551 =E= 0;

e648..    x8 + 6*b552 =E= 0;

e649..    x9 + 5*b553 =E= 0;

e650..    x10 + 6*b554 =E= 0;

e651..    x11 + 9*b555 =E= 0;

e652..    x12 + 4*b556 =E= 0;

e653..    x13 + 3*b557 =E= 0;

e654..    x14 + 10*b558 =E= 0;

e655..    x15 + 9*b559 =E= 0;

e656..    x16 + 5*b560 =E= 0;

e657..    x17 + 6*b561 =E= 0;

e658..    x18 + 6*b562 =E= 0;

e659..    x19 + 10*b563 =E= 0;

e660..    x20 + 6*b564 =E= 0;

e661..    x21 + 9*b565 =E= 0;

e662..    x22 + 7*b566 =E= 0;

e663..    x23 + 7*b567 =E= 0;

e664..    x24 + 4*b568 =E= 0;

e665..    x25 + 2*b569 =E= 0;

e666..    x26 + 4*b570 =E= 0;

e667..    x27 + 3*b571 =E= 0;

e668..    x28 + 2*b572 =E= 0;

e669..    x29 + 8*b573 =E= 0;

e670..    x30 + 5*b574 =E= 0;

e671..    x31 + 6*b575 =E= 0;

e672..    x32 + 7*b576 =E= 0;

e673..    x33 + 4*b577 =E= 0;

e674..    x34 + 2*b578 =E= 0;

e675..    x35 + 5*b579 =E= 0;

e676..    x36 + 2*b580 =E= 0;

e677..    x37 + 6*b581 =E= 0;

e678..    x38 + 4*b582 =E= 0;

e679..    x39 + 7*b583 =E= 0;

e680..    x40 + 4*b584 =E= 0;

e681..    x41 + 7*b585 =E= 0;

e682..    x42 + 3*b586 =E= 0;

e683..    x43 + 9*b587 =E= 0;

e684..    x44 + 3*b588 =E= 0;

e685..    x45 + 6*b589 =E= 0;

e686..    x46 + 7*b590 =E= 0;

e687..    x47 + 2*b591 =E= 0;

e688..    x48 + 9*b592 =E= 0;

e689..    x49 + 6*b593 =E= 0;

e690..    x50 + 3*b594 =E= 0;

e691..    x51 + b595 =E= 0;

e692..    x52 + 9*b596 =E= 0;

e693..    x53 + 10*b597 =E= 0;

e694..    x54 + 2*b598 =E= 0;

e695..    x55 + 6*b599 =E= 0;

e696..    x56 + 3*b600 =E= 0;

e697..    x57 + 7*b601 =E= 0;

e698..    x58 + 4*b602 =E= 0;

e699..    x59 + 8*b603 =E= 0;

e700..    x60 + b604 =E= 0;

e701..    x61 + 4*b605 =E= 0;

e702..    b486 - b487 =L= 0;

e703..    b486 - b488 =L= 0;

e704..    b486 - b489 =L= 0;

e705..    b487 - b488 =L= 0;

e706..    b487 - b489 =L= 0;

e707..    b488 - b489 =L= 0;

e708..    b490 - b491 =L= 0;

e709..    b490 - b492 =L= 0;

e710..    b490 - b493 =L= 0;

e711..    b491 - b492 =L= 0;

e712..    b491 - b493 =L= 0;

e713..    b492 - b493 =L= 0;

e714..    b494 - b495 =L= 0;

e715..    b494 - b496 =L= 0;

e716..    b494 - b497 =L= 0;

e717..    b495 - b496 =L= 0;

e718..    b495 - b497 =L= 0;

e719..    b496 - b497 =L= 0;

e720..    b498 - b499 =L= 0;

e721..    b498 - b500 =L= 0;

e722..    b498 - b501 =L= 0;

e723..    b499 - b500 =L= 0;

e724..    b499 - b501 =L= 0;

e725..    b500 - b501 =L= 0;

e726..    b502 - b503 =L= 0;

e727..    b502 - b504 =L= 0;

e728..    b502 - b505 =L= 0;

e729..    b503 - b504 =L= 0;

e730..    b503 - b505 =L= 0;

e731..    b504 - b505 =L= 0;

e732..    b506 - b507 =L= 0;

e733..    b506 - b508 =L= 0;

e734..    b506 - b509 =L= 0;

e735..    b507 - b508 =L= 0;

e736..    b507 - b509 =L= 0;

e737..    b508 - b509 =L= 0;

e738..    b510 - b511 =L= 0;

e739..    b510 - b512 =L= 0;

e740..    b510 - b513 =L= 0;

e741..    b511 - b512 =L= 0;

e742..    b511 - b513 =L= 0;

e743..    b512 - b513 =L= 0;

e744..    b514 - b515 =L= 0;

e745..    b514 - b516 =L= 0;

e746..    b514 - b517 =L= 0;

e747..    b515 - b516 =L= 0;

e748..    b515 - b517 =L= 0;

e749..    b516 - b517 =L= 0;

e750..    b518 - b519 =L= 0;

e751..    b518 - b520 =L= 0;

e752..    b518 - b521 =L= 0;

e753..    b519 - b520 =L= 0;

e754..    b519 - b521 =L= 0;

e755..    b520 - b521 =L= 0;

e756..    b522 - b523 =L= 0;

e757..    b522 - b524 =L= 0;

e758..    b522 - b525 =L= 0;

e759..    b523 - b524 =L= 0;

e760..    b523 - b525 =L= 0;

e761..    b524 - b525 =L= 0;

e762..    b526 - b527 =L= 0;

e763..    b526 - b528 =L= 0;

e764..    b526 - b529 =L= 0;

e765..    b527 - b528 =L= 0;

e766..    b527 - b529 =L= 0;

e767..    b528 - b529 =L= 0;

e768..    b530 - b531 =L= 0;

e769..    b530 - b532 =L= 0;

e770..    b530 - b533 =L= 0;

e771..    b531 - b532 =L= 0;

e772..    b531 - b533 =L= 0;

e773..    b532 - b533 =L= 0;

e774..    b534 - b535 =L= 0;

e775..    b534 - b536 =L= 0;

e776..    b534 - b537 =L= 0;

e777..    b535 - b536 =L= 0;

e778..    b535 - b537 =L= 0;

e779..    b536 - b537 =L= 0;

e780..    b538 - b539 =L= 0;

e781..    b538 - b540 =L= 0;

e782..    b538 - b541 =L= 0;

e783..    b539 - b540 =L= 0;

e784..    b539 - b541 =L= 0;

e785..    b540 - b541 =L= 0;

e786..    b542 - b543 =L= 0;

e787..    b542 - b544 =L= 0;

e788..    b542 - b545 =L= 0;

e789..    b543 - b544 =L= 0;

e790..    b543 - b545 =L= 0;

e791..    b544 - b545 =L= 0;

e792..    b546 + b547 =L= 1;

e793..    b546 + b548 =L= 1;

e794..    b546 + b549 =L= 1;

e795..    b546 + b547 =L= 1;

e796..    b547 + b548 =L= 1;

e797..    b547 + b549 =L= 1;

e798..    b546 + b548 =L= 1;

e799..    b547 + b548 =L= 1;

e800..    b548 + b549 =L= 1;

e801..    b546 + b549 =L= 1;

e802..    b547 + b549 =L= 1;

e803..    b548 + b549 =L= 1;

e804..    b550 + b551 =L= 1;

e805..    b550 + b552 =L= 1;

e806..    b550 + b553 =L= 1;

e807..    b550 + b551 =L= 1;

e808..    b551 + b552 =L= 1;

e809..    b551 + b553 =L= 1;

e810..    b550 + b552 =L= 1;

e811..    b551 + b552 =L= 1;

e812..    b552 + b553 =L= 1;

e813..    b550 + b553 =L= 1;

e814..    b551 + b553 =L= 1;

e815..    b552 + b553 =L= 1;

e816..    b554 + b555 =L= 1;

e817..    b554 + b556 =L= 1;

e818..    b554 + b557 =L= 1;

e819..    b554 + b555 =L= 1;

e820..    b555 + b556 =L= 1;

e821..    b555 + b557 =L= 1;

e822..    b554 + b556 =L= 1;

e823..    b555 + b556 =L= 1;

e824..    b556 + b557 =L= 1;

e825..    b554 + b557 =L= 1;

e826..    b555 + b557 =L= 1;

e827..    b556 + b557 =L= 1;

e828..    b558 + b559 =L= 1;

e829..    b558 + b560 =L= 1;

e830..    b558 + b561 =L= 1;

e831..    b558 + b559 =L= 1;

e832..    b559 + b560 =L= 1;

e833..    b559 + b561 =L= 1;

e834..    b558 + b560 =L= 1;

e835..    b559 + b560 =L= 1;

e836..    b560 + b561 =L= 1;

e837..    b558 + b561 =L= 1;

e838..    b559 + b561 =L= 1;

e839..    b560 + b561 =L= 1;

e840..    b562 + b563 =L= 1;

e841..    b562 + b564 =L= 1;

e842..    b562 + b565 =L= 1;

e843..    b562 + b563 =L= 1;

e844..    b563 + b564 =L= 1;

e845..    b563 + b565 =L= 1;

e846..    b562 + b564 =L= 1;

e847..    b563 + b564 =L= 1;

e848..    b564 + b565 =L= 1;

e849..    b562 + b565 =L= 1;

e850..    b563 + b565 =L= 1;

e851..    b564 + b565 =L= 1;

e852..    b566 + b567 =L= 1;

e853..    b566 + b568 =L= 1;

e854..    b566 + b569 =L= 1;

e855..    b566 + b567 =L= 1;

e856..    b567 + b568 =L= 1;

e857..    b567 + b569 =L= 1;

e858..    b566 + b568 =L= 1;

e859..    b567 + b568 =L= 1;

e860..    b568 + b569 =L= 1;

e861..    b566 + b569 =L= 1;

e862..    b567 + b569 =L= 1;

e863..    b568 + b569 =L= 1;

e864..    b570 + b571 =L= 1;

e865..    b570 + b572 =L= 1;

e866..    b570 + b573 =L= 1;

e867..    b570 + b571 =L= 1;

e868..    b571 + b572 =L= 1;

e869..    b571 + b573 =L= 1;

e870..    b570 + b572 =L= 1;

e871..    b571 + b572 =L= 1;

e872..    b572 + b573 =L= 1;

e873..    b570 + b573 =L= 1;

e874..    b571 + b573 =L= 1;

e875..    b572 + b573 =L= 1;

e876..    b574 + b575 =L= 1;

e877..    b574 + b576 =L= 1;

e878..    b574 + b577 =L= 1;

e879..    b574 + b575 =L= 1;

e880..    b575 + b576 =L= 1;

e881..    b575 + b577 =L= 1;

e882..    b574 + b576 =L= 1;

e883..    b575 + b576 =L= 1;

e884..    b576 + b577 =L= 1;

e885..    b574 + b577 =L= 1;

e886..    b575 + b577 =L= 1;

e887..    b576 + b577 =L= 1;

e888..    b578 + b579 =L= 1;

e889..    b578 + b580 =L= 1;

e890..    b578 + b581 =L= 1;

e891..    b578 + b579 =L= 1;

e892..    b579 + b580 =L= 1;

e893..    b579 + b581 =L= 1;

e894..    b578 + b580 =L= 1;

e895..    b579 + b580 =L= 1;

e896..    b580 + b581 =L= 1;

e897..    b578 + b581 =L= 1;

e898..    b579 + b581 =L= 1;

e899..    b580 + b581 =L= 1;

e900..    b582 + b583 =L= 1;

e901..    b582 + b584 =L= 1;

e902..    b582 + b585 =L= 1;

e903..    b582 + b583 =L= 1;

e904..    b583 + b584 =L= 1;

e905..    b583 + b585 =L= 1;

e906..    b582 + b584 =L= 1;

e907..    b583 + b584 =L= 1;

e908..    b584 + b585 =L= 1;

e909..    b582 + b585 =L= 1;

e910..    b583 + b585 =L= 1;

e911..    b584 + b585 =L= 1;

e912..    b586 + b587 =L= 1;

e913..    b586 + b588 =L= 1;

e914..    b586 + b589 =L= 1;

e915..    b586 + b587 =L= 1;

e916..    b587 + b588 =L= 1;

e917..    b587 + b589 =L= 1;

e918..    b586 + b588 =L= 1;

e919..    b587 + b588 =L= 1;

e920..    b588 + b589 =L= 1;

e921..    b586 + b589 =L= 1;

e922..    b587 + b589 =L= 1;

e923..    b588 + b589 =L= 1;

e924..    b590 + b591 =L= 1;

e925..    b590 + b592 =L= 1;

e926..    b590 + b593 =L= 1;

e927..    b590 + b591 =L= 1;

e928..    b591 + b592 =L= 1;

e929..    b591 + b593 =L= 1;

e930..    b590 + b592 =L= 1;

e931..    b591 + b592 =L= 1;

e932..    b592 + b593 =L= 1;

e933..    b590 + b593 =L= 1;

e934..    b591 + b593 =L= 1;

e935..    b592 + b593 =L= 1;

e936..    b594 + b595 =L= 1;

e937..    b594 + b596 =L= 1;

e938..    b594 + b597 =L= 1;

e939..    b594 + b595 =L= 1;

e940..    b595 + b596 =L= 1;

e941..    b595 + b597 =L= 1;

e942..    b594 + b596 =L= 1;

e943..    b595 + b596 =L= 1;

e944..    b596 + b597 =L= 1;

e945..    b594 + b597 =L= 1;

e946..    b595 + b597 =L= 1;

e947..    b596 + b597 =L= 1;

e948..    b598 + b599 =L= 1;

e949..    b598 + b600 =L= 1;

e950..    b598 + b601 =L= 1;

e951..    b598 + b599 =L= 1;

e952..    b599 + b600 =L= 1;

e953..    b599 + b601 =L= 1;

e954..    b598 + b600 =L= 1;

e955..    b599 + b600 =L= 1;

e956..    b600 + b601 =L= 1;

e957..    b598 + b601 =L= 1;

e958..    b599 + b601 =L= 1;

e959..    b600 + b601 =L= 1;

e960..    b602 + b603 =L= 1;

e961..    b602 + b604 =L= 1;

e962..    b602 + b605 =L= 1;

e963..    b602 + b603 =L= 1;

e964..    b603 + b604 =L= 1;

e965..    b603 + b605 =L= 1;

e966..    b602 + b604 =L= 1;

e967..    b603 + b604 =L= 1;

e968..    b604 + b605 =L= 1;

e969..    b602 + b605 =L= 1;

e970..    b603 + b605 =L= 1;

e971..    b604 + b605 =L= 1;

e972..    b486 - b546 =L= 0;

e973..  - b486 + b487 - b547 =L= 0;

e974..  - b486 - b487 + b488 - b548 =L= 0;

e975..  - b486 - b487 - b488 + b489 - b549 =L= 0;

e976..    b490 - b550 =L= 0;

e977..  - b490 + b491 - b551 =L= 0;

e978..  - b490 - b491 + b492 - b552 =L= 0;

e979..  - b490 - b491 - b492 + b493 - b553 =L= 0;

e980..    b494 - b554 =L= 0;

e981..  - b494 + b495 - b555 =L= 0;

e982..  - b494 - b495 + b496 - b556 =L= 0;

e983..  - b494 - b495 - b496 + b497 - b557 =L= 0;

e984..    b498 - b558 =L= 0;

e985..  - b498 + b499 - b559 =L= 0;

e986..  - b498 - b499 + b500 - b560 =L= 0;

e987..  - b498 - b499 - b500 + b501 - b561 =L= 0;

e988..    b502 - b562 =L= 0;

e989..  - b502 + b503 - b563 =L= 0;

e990..  - b502 - b503 + b504 - b564 =L= 0;

e991..  - b502 - b503 - b504 + b505 - b565 =L= 0;

e992..    b506 - b566 =L= 0;

e993..  - b506 + b507 - b567 =L= 0;

e994..  - b506 - b507 + b508 - b568 =L= 0;

e995..  - b506 - b507 - b508 + b509 - b569 =L= 0;

e996..    b510 - b570 =L= 0;

e997..  - b510 + b511 - b571 =L= 0;

e998..  - b510 - b511 + b512 - b572 =L= 0;

e999..  - b510 - b511 - b512 + b513 - b573 =L= 0;

e1000..    b514 - b574 =L= 0;

e1001..  - b514 + b515 - b575 =L= 0;

e1002..  - b514 - b515 + b516 - b576 =L= 0;

e1003..  - b514 - b515 - b516 + b517 - b577 =L= 0;

e1004..    b518 - b578 =L= 0;

e1005..  - b518 + b519 - b579 =L= 0;

e1006..  - b518 - b519 + b520 - b580 =L= 0;

e1007..  - b518 - b519 - b520 + b521 - b581 =L= 0;

e1008..    b522 - b582 =L= 0;

e1009..  - b522 + b523 - b583 =L= 0;

e1010..  - b522 - b523 + b524 - b584 =L= 0;

e1011..  - b522 - b523 - b524 + b525 - b585 =L= 0;

e1012..    b526 - b586 =L= 0;

e1013..  - b526 + b527 - b587 =L= 0;

e1014..  - b526 - b527 + b528 - b588 =L= 0;

e1015..  - b526 - b527 - b528 + b529 - b589 =L= 0;

e1016..    b530 - b590 =L= 0;

e1017..  - b530 + b531 - b591 =L= 0;

e1018..  - b530 - b531 + b532 - b592 =L= 0;

e1019..  - b530 - b531 - b532 + b533 - b593 =L= 0;

e1020..    b534 - b594 =L= 0;

e1021..  - b534 + b535 - b595 =L= 0;

e1022..  - b534 - b535 + b536 - b596 =L= 0;

e1023..  - b534 - b535 - b536 + b537 - b597 =L= 0;

e1024..    b538 - b598 =L= 0;

e1025..  - b538 + b539 - b599 =L= 0;

e1026..  - b538 - b539 + b540 - b600 =L= 0;

e1027..  - b538 - b539 - b540 + b541 - b601 =L= 0;

e1028..    b542 - b602 =L= 0;

e1029..  - b542 + b543 - b603 =L= 0;

e1030..  - b542 - b543 + b544 - b604 =L= 0;

e1031..  - b542 - b543 - b544 + b545 - b605 =L= 0;

e1032..    b486 + b490 =E= 1;

e1033..    b487 + b491 =E= 1;

e1034..    b488 + b492 =E= 1;

e1035..    b489 + b493 =E= 1;

e1036..  - b494 + b506 + b510 =G= 0;

e1037..  - b495 + b507 + b511 =G= 0;

e1038..  - b496 + b508 + b512 =G= 0;

e1039..  - b497 + b509 + b513 =G= 0;

e1040..  - b506 + b530 =G= 0;

e1041..  - b507 + b531 =G= 0;

e1042..  - b508 + b532 =G= 0;

e1043..  - b509 + b533 =G= 0;

e1044..  - b510 + b534 =G= 0;

e1045..  - b511 + b535 =G= 0;

e1046..  - b512 + b536 =G= 0;

e1047..  - b513 + b537 =G= 0;

e1048..  - b498 + b514 =G= 0;

e1049..  - b499 + b515 =G= 0;

e1050..  - b500 + b516 =G= 0;

e1051..  - b501 + b517 =G= 0;

e1052..  - b514 + b538 + b542 =G= 0;

e1053..  - b515 + b539 + b543 =G= 0;

e1054..  - b516 + b540 + b544 =G= 0;

e1055..  - b517 + b541 + b545 =G= 0;

e1056..  - b502 + b518 + b522 + b526 =G= 0;

e1057..  - b503 + b519 + b523 + b527 =G= 0;

e1058..  - b504 + b520 + b524 + b528 =G= 0;

e1059..  - b505 + b521 + b525 + b529 =G= 0;

e1060..  - b518 + b542 =G= 0;

e1061..  - b519 + b543 =G= 0;

e1062..  - b520 + b544 =G= 0;

e1063..  - b521 + b545 =G= 0;

e1064..    b486 + b490 - b494 =G= 0;

e1065..    b487 + b491 - b495 =G= 0;

e1066..    b488 + b492 - b496 =G= 0;

e1067..    b489 + b493 - b497 =G= 0;

e1068..    b486 + b490 - b498 =G= 0;

e1069..    b487 + b491 - b499 =G= 0;

e1070..    b488 + b492 - b500 =G= 0;

e1071..    b489 + b493 - b501 =G= 0;

e1072..    b486 + b490 - b502 =G= 0;

e1073..    b487 + b491 - b503 =G= 0;

e1074..    b488 + b492 - b504 =G= 0;

e1075..    b489 + b493 - b505 =G= 0;

e1076..    b494 - b506 =G= 0;

e1077..    b495 - b507 =G= 0;

e1078..    b496 - b508 =G= 0;

e1079..    b497 - b509 =G= 0;

e1080..    b494 - b510 =G= 0;

e1081..    b495 - b511 =G= 0;

e1082..    b496 - b512 =G= 0;

e1083..    b497 - b513 =G= 0;

e1084..    b498 - b514 =G= 0;

e1085..    b499 - b515 =G= 0;

e1086..    b500 - b516 =G= 0;

e1087..    b501 - b517 =G= 0;

e1088..    b502 - b518 =G= 0;

e1089..    b503 - b519 =G= 0;

e1090..    b504 - b520 =G= 0;

e1091..    b505 - b521 =G= 0;

e1092..    b502 - b522 =G= 0;

e1093..    b503 - b523 =G= 0;

e1094..    b504 - b524 =G= 0;

e1095..    b505 - b525 =G= 0;

e1096..    b502 - b526 =G= 0;

e1097..    b503 - b527 =G= 0;

e1098..    b504 - b528 =G= 0;

e1099..    b505 - b529 =G= 0;

e1100..    b506 - b530 =G= 0;

e1101..    b507 - b531 =G= 0;

e1102..    b508 - b532 =G= 0;

e1103..    b509 - b533 =G= 0;

e1104..    b510 - b534 =G= 0;

e1105..    b511 - b535 =G= 0;

e1106..    b512 - b536 =G= 0;

e1107..    b513 - b537 =G= 0;

e1108..    b514 - b538 =G= 0;

e1109..    b515 - b539 =G= 0;

e1110..    b516 - b540 =G= 0;

e1111..    b517 - b541 =G= 0;

e1112..    b514 - b542 =G= 0;

e1113..    b515 - b543 =G= 0;

e1114..    b516 - b544 =G= 0;

e1115..    b517 - b545 =G= 0;

* set non-default bounds
x62.up = 40;
x63.up = 40;
x64.up = 40;
x65.up = 40;
x106.up = 30;
x107.up = 30;
x108.up = 30;
x109.up = 30;
x174.up = 20;
x175.up = 20;
x176.up = 20;
x177.up = 20;
x178.up = 20;
x179.up = 20;
x180.up = 20;
x181.up = 20;

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% maximizing objvar;


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