MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance syn20m03hfsg

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Equivalent perspective reformulation of syn20m03.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
2646.95091700 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
2647.03532300 (ALPHAECP)
2647.21561200 (ANTIGONE)
2646.95092000 (BARON)
2646.95091700 (BONMIN)
5418.70404300 (COUENNE)
2646.95091700 (LINDO)
2646.95161900 (SCIP)
7683.68141300 (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.
Kevin C. Furman, Nicolas W. Sawaya, Ignacio E. Grossmann, A computationally useful algebraic representation of nonlinear disjunctive convex sets using the perspective function, Tech. Rep., 2019.
Application Synthesis of processing system
Added to library 25 Sep 2019
Problem type MBNLP
#Variables 573
#Binary Variables 120
#Integer Variables 0
#Nonlinear Variables 120
#Nonlinear Binary Variables 39
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 102
#Nonlinear Nonzeros in Objective 0
#Constraints 999
#Linear Constraints 957
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 42
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 2169
#Nonlinear Nonzeros in Jacobian 126
#Nonzeros in (Upper-Left) Hessian of Lagrangian 243
#Nonzeros in Diagonal of Hessian of Lagrangian 81
#Blocks in Hessian of Lagrangian 39
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.076923
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-03
Maximal coefficient 4.3000e+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
*       1000      379       81      540        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        574      454      120        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2272     2146      126        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,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574;

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;

Binary Variables  b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574;

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;


e1..    objvar + x62 + x63 + x64 - 5*x80 - 10*x81 - 5*x82 + 2*x95 + x96 + 2*x97
      + 10*x146 + 5*x147 + 5*x148 + 5*x149 + 5*x150 + 5*x151 - 80*x170
      - 130*x171 - 215*x172 - 110*x173 - 120*x174 - 125*x175 - 110*x176
      - 130*x177 - 140*x178 - 80*x179 - 90*x180 - 120*x181 - 285*x182
      - 390*x183 - 350*x184 - 290*x185 - 405*x186 - 190*x187 - 280*x188
      - 400*x189 - 430*x190 - 290*x191 - 300*x192 - 240*x193 - 350*x194
      - 250*x195 - 300*x196 + 5*b515 + 4*b516 + 6*b517 + 8*b518 + 7*b519
      + 6*b520 + 6*b521 + 9*b522 + 4*b523 + 10*b524 + 9*b525 + 5*b526 + 6*b527
      + 10*b528 + 6*b529 + 7*b530 + 7*b531 + 4*b532 + 4*b533 + 3*b534 + 2*b535
      + 5*b536 + 6*b537 + 7*b538 + 2*b539 + 5*b540 + 2*b541 + 4*b542 + 7*b543
      + 4*b544 + 3*b545 + 9*b546 + 3*b547 + 7*b548 + 2*b549 + 9*b550 + 3*b551
      + b552 + 9*b553 + 2*b554 + 6*b555 + 3*b556 + 4*b557 + 8*b558 + b559
      + 2*b560 + 5*b561 + 2*b562 + 3*b563 + 4*b564 + 3*b565 + 5*b566 + 7*b567
      + 6*b568 + 2*b569 + 8*b570 + 4*b571 + b572 + 4*b573 + b574 =E= 0;

e2..    x62 - x65 - x68 =E= 0;

e3..    x63 - x66 - x69 =E= 0;

e4..    x64 - x67 - x70 =E= 0;

e5..  - x71 - x74 + x77 =E= 0;

e6..  - x72 - x75 + x78 =E= 0;

e7..  - x73 - x76 + x79 =E= 0;

e8..    x77 - x80 - x83 =E= 0;

e9..    x78 - x81 - x84 =E= 0;

e10..    x79 - x82 - x85 =E= 0;

e11..    x83 - x86 - x89 - x92 =E= 0;

e12..    x84 - x87 - x90 - x93 =E= 0;

e13..    x85 - x88 - x91 - x94 =E= 0;

e14..    x98 - x107 - x110 =E= 0;

e15..    x99 - x108 - x111 =E= 0;

e16..    x100 - x109 - x112 =E= 0;

e17..    x104 - x113 - x116 - x119 =E= 0;

e18..    x105 - x114 - x117 - x120 =E= 0;

e19..    x106 - x115 - x118 - x121 =E= 0;

e20..    x128 - x140 - x143 =E= 0;

e21..    x129 - x141 - x144 =E= 0;

e22..    x130 - x142 - x145 =E= 0;

e23..  - x131 - x149 + x152 =E= 0;

e24..  - x132 - x150 + x153 =E= 0;

e25..  - x133 - x151 + x154 =E= 0;

e26..    x134 - x155 - x158 =E= 0;

e27..    x135 - x156 - x159 =E= 0;

e28..    x136 - x157 - x160 =E= 0;

e29..    x137 - x161 - x164 - x167 =E= 0;

e30..    x138 - x162 - x165 - x168 =E= 0;

e31..    x139 - x163 - x166 - x169 =E= 0;

e32.. (x209/(0.001 + 0.999*b455) - log(1 + x197/(0.001 + 0.999*b455)))*(0.001
       + 0.999*b455) =L= 0;

e33.. (x210/(0.001 + 0.999*b456) - log(1 + x198/(0.001 + 0.999*b456)))*(0.001
       + 0.999*b456) =L= 0;

e34.. (x211/(0.001 + 0.999*b457) - log(1 + x199/(0.001 + 0.999*b457)))*(0.001
       + 0.999*b457) =L= 0;

e35..    x200 =E= 0;

e36..    x201 =E= 0;

e37..    x202 =E= 0;

e38..    x212 =E= 0;

e39..    x213 =E= 0;

e40..    x214 =E= 0;

e41..    x65 - x197 - x200 =E= 0;

e42..    x66 - x198 - x201 =E= 0;

e43..    x67 - x199 - x202 =E= 0;

e44..    x71 - x209 - x212 =E= 0;

e45..    x72 - x210 - x213 =E= 0;

e46..    x73 - x211 - x214 =E= 0;

e47..    x197 - 40*b455 =L= 0;

e48..    x198 - 40*b456 =L= 0;

e49..    x199 - 40*b457 =L= 0;

e50..    x200 + 40*b455 =L= 40;

e51..    x201 + 40*b456 =L= 40;

e52..    x202 + 40*b457 =L= 40;

e53..    x209 - 3.71357206670431*b455 =L= 0;

e54..    x210 - 3.71357206670431*b456 =L= 0;

e55..    x211 - 3.71357206670431*b457 =L= 0;

e56..    x212 + 3.71357206670431*b455 =L= 3.71357206670431;

e57..    x213 + 3.71357206670431*b456 =L= 3.71357206670431;

e58..    x214 + 3.71357206670431*b457 =L= 3.71357206670431;

e59.. (x215/(0.001 + 0.999*b458) - 1.2*log(1 + x203/(0.001 + 0.999*b458)))*(
      0.001 + 0.999*b458) =L= 0;

e60.. (x216/(0.001 + 0.999*b459) - 1.2*log(1 + x204/(0.001 + 0.999*b459)))*(
      0.001 + 0.999*b459) =L= 0;

e61.. (x217/(0.001 + 0.999*b460) - 1.2*log(1 + x205/(0.001 + 0.999*b460)))*(
      0.001 + 0.999*b460) =L= 0;

e62..    x206 =E= 0;

e63..    x207 =E= 0;

e64..    x208 =E= 0;

e65..    x218 =E= 0;

e66..    x219 =E= 0;

e67..    x220 =E= 0;

e68..    x68 - x203 - x206 =E= 0;

e69..    x69 - x204 - x207 =E= 0;

e70..    x70 - x205 - x208 =E= 0;

e71..    x74 - x215 - x218 =E= 0;

e72..    x75 - x216 - x219 =E= 0;

e73..    x76 - x217 - x220 =E= 0;

e74..    x203 - 40*b458 =L= 0;

e75..    x204 - 40*b459 =L= 0;

e76..    x205 - 40*b460 =L= 0;

e77..    x206 + 40*b458 =L= 40;

e78..    x207 + 40*b459 =L= 40;

e79..    x208 + 40*b460 =L= 40;

e80..    x215 - 4.45628648004517*b458 =L= 0;

e81..    x216 - 4.45628648004517*b459 =L= 0;

e82..    x217 - 4.45628648004517*b460 =L= 0;

e83..    x218 + 4.45628648004517*b458 =L= 4.45628648004517;

e84..    x219 + 4.45628648004517*b459 =L= 4.45628648004517;

e85..    x220 + 4.45628648004517*b460 =L= 4.45628648004517;

e86..  - 0.75*x221 + x245 =E= 0;

e87..  - 0.75*x222 + x246 =E= 0;

e88..  - 0.75*x223 + x247 =E= 0;

e89..    x224 =E= 0;

e90..    x225 =E= 0;

e91..    x226 =E= 0;

e92..    x248 =E= 0;

e93..    x249 =E= 0;

e94..    x250 =E= 0;

e95..    x86 - x221 - x224 =E= 0;

e96..    x87 - x222 - x225 =E= 0;

e97..    x88 - x223 - x226 =E= 0;

e98..    x98 - x245 - x248 =E= 0;

e99..    x99 - x246 - x249 =E= 0;

e100..    x100 - x247 - x250 =E= 0;

e101..    x221 - 4.45628648004517*b461 =L= 0;

e102..    x222 - 4.45628648004517*b462 =L= 0;

e103..    x223 - 4.45628648004517*b463 =L= 0;

e104..    x224 + 4.45628648004517*b461 =L= 4.45628648004517;

e105..    x225 + 4.45628648004517*b462 =L= 4.45628648004517;

e106..    x226 + 4.45628648004517*b463 =L= 4.45628648004517;

e107..    x245 - 3.34221486003388*b461 =L= 0;

e108..    x246 - 3.34221486003388*b462 =L= 0;

e109..    x247 - 3.34221486003388*b463 =L= 0;

e110..    x248 + 3.34221486003388*b461 =L= 3.34221486003388;

e111..    x249 + 3.34221486003388*b462 =L= 3.34221486003388;

e112..    x250 + 3.34221486003388*b463 =L= 3.34221486003388;

e113.. (x251/(0.001 + 0.999*b464) - 1.5*log(1 + x227/(0.001 + 0.999*b464)))*(
       0.001 + 0.999*b464) =L= 0;

e114.. (x252/(0.001 + 0.999*b465) - 1.5*log(1 + x228/(0.001 + 0.999*b465)))*(
       0.001 + 0.999*b465) =L= 0;

e115.. (x253/(0.001 + 0.999*b466) - 1.5*log(1 + x229/(0.001 + 0.999*b466)))*(
       0.001 + 0.999*b466) =L= 0;

e116..    x230 =E= 0;

e117..    x231 =E= 0;

e118..    x232 =E= 0;

e119..    x257 =E= 0;

e120..    x258 =E= 0;

e121..    x259 =E= 0;

e122..    x89 - x227 - x230 =E= 0;

e123..    x90 - x228 - x231 =E= 0;

e124..    x91 - x229 - x232 =E= 0;

e125..    x101 - x251 - x257 =E= 0;

e126..    x102 - x252 - x258 =E= 0;

e127..    x103 - x253 - x259 =E= 0;

e128..    x227 - 4.45628648004517*b464 =L= 0;

e129..    x228 - 4.45628648004517*b465 =L= 0;

e130..    x229 - 4.45628648004517*b466 =L= 0;

e131..    x230 + 4.45628648004517*b464 =L= 4.45628648004517;

e132..    x231 + 4.45628648004517*b465 =L= 4.45628648004517;

e133..    x232 + 4.45628648004517*b466 =L= 4.45628648004517;

e134..    x251 - 2.54515263975353*b464 =L= 0;

e135..    x252 - 2.54515263975353*b465 =L= 0;

e136..    x253 - 2.54515263975353*b466 =L= 0;

e137..    x257 + 2.54515263975353*b464 =L= 2.54515263975353;

e138..    x258 + 2.54515263975353*b465 =L= 2.54515263975353;

e139..    x259 + 2.54515263975353*b466 =L= 2.54515263975353;

e140..  - x233 + x263 =E= 0;

e141..  - x234 + x264 =E= 0;

e142..  - x235 + x265 =E= 0;

e143..  - 0.5*x239 + x263 =E= 0;

e144..  - 0.5*x240 + x264 =E= 0;

e145..  - 0.5*x241 + x265 =E= 0;

e146..    x236 =E= 0;

e147..    x237 =E= 0;

e148..    x238 =E= 0;

e149..    x242 =E= 0;

e150..    x243 =E= 0;

e151..    x244 =E= 0;

e152..    x266 =E= 0;

e153..    x267 =E= 0;

e154..    x268 =E= 0;

e155..    x92 - x233 - x236 =E= 0;

e156..    x93 - x234 - x237 =E= 0;

e157..    x94 - x235 - x238 =E= 0;

e158..    x95 - x239 - x242 =E= 0;

e159..    x96 - x240 - x243 =E= 0;

e160..    x97 - x241 - x244 =E= 0;

e161..    x104 - x263 - x266 =E= 0;

e162..    x105 - x264 - x267 =E= 0;

e163..    x106 - x265 - x268 =E= 0;

e164..    x233 - 4.45628648004517*b467 =L= 0;

e165..    x234 - 4.45628648004517*b468 =L= 0;

e166..    x235 - 4.45628648004517*b469 =L= 0;

e167..    x236 + 4.45628648004517*b467 =L= 4.45628648004517;

e168..    x237 + 4.45628648004517*b468 =L= 4.45628648004517;

e169..    x238 + 4.45628648004517*b469 =L= 4.45628648004517;

e170..    x239 - 30*b467 =L= 0;

e171..    x240 - 30*b468 =L= 0;

e172..    x241 - 30*b469 =L= 0;

e173..    x242 + 30*b467 =L= 30;

e174..    x243 + 30*b468 =L= 30;

e175..    x244 + 30*b469 =L= 30;

e176..    x263 - 15*b467 =L= 0;

e177..    x264 - 15*b468 =L= 0;

e178..    x265 - 15*b469 =L= 0;

e179..    x266 + 15*b467 =L= 15;

e180..    x267 + 15*b468 =L= 15;

e181..    x268 + 15*b469 =L= 15;

e182.. (x299/(0.001 + 0.999*b470) - 1.25*log(1 + x269/(0.001 + 0.999*b470)))*(
       0.001 + 0.999*b470) =L= 0;

e183.. (x300/(0.001 + 0.999*b471) - 1.25*log(1 + x270/(0.001 + 0.999*b471)))*(
       0.001 + 0.999*b471) =L= 0;

e184.. (x301/(0.001 + 0.999*b472) - 1.25*log(1 + x271/(0.001 + 0.999*b472)))*(
       0.001 + 0.999*b472) =L= 0;

e185..    x272 =E= 0;

e186..    x273 =E= 0;

e187..    x274 =E= 0;

e188..    x305 =E= 0;

e189..    x306 =E= 0;

e190..    x307 =E= 0;

e191..    x107 - x269 - x272 =E= 0;

e192..    x108 - x270 - x273 =E= 0;

e193..    x109 - x271 - x274 =E= 0;

e194..    x122 - x299 - x305 =E= 0;

e195..    x123 - x300 - x306 =E= 0;

e196..    x124 - x301 - x307 =E= 0;

e197..    x269 - 3.34221486003388*b470 =L= 0;

e198..    x270 - 3.34221486003388*b471 =L= 0;

e199..    x271 - 3.34221486003388*b472 =L= 0;

e200..    x272 + 3.34221486003388*b470 =L= 3.34221486003388;

e201..    x273 + 3.34221486003388*b471 =L= 3.34221486003388;

e202..    x274 + 3.34221486003388*b472 =L= 3.34221486003388;

e203..    x299 - 1.83548069293539*b470 =L= 0;

e204..    x300 - 1.83548069293539*b471 =L= 0;

e205..    x301 - 1.83548069293539*b472 =L= 0;

e206..    x305 + 1.83548069293539*b470 =L= 1.83548069293539;

e207..    x306 + 1.83548069293539*b471 =L= 1.83548069293539;

e208..    x307 + 1.83548069293539*b472 =L= 1.83548069293539;

e209.. (x311/(0.001 + 0.999*b473) - 0.9*log(1 + x275/(0.001 + 0.999*b473)))*(
       0.001 + 0.999*b473) =L= 0;

e210.. (x312/(0.001 + 0.999*b474) - 0.9*log(1 + x276/(0.001 + 0.999*b474)))*(
       0.001 + 0.999*b474) =L= 0;

e211.. (x313/(0.001 + 0.999*b475) - 0.9*log(1 + x277/(0.001 + 0.999*b475)))*(
       0.001 + 0.999*b475) =L= 0;

e212..    x278 =E= 0;

e213..    x279 =E= 0;

e214..    x280 =E= 0;

e215..    x317 =E= 0;

e216..    x318 =E= 0;

e217..    x319 =E= 0;

e218..    x110 - x275 - x278 =E= 0;

e219..    x111 - x276 - x279 =E= 0;

e220..    x112 - x277 - x280 =E= 0;

e221..    x125 - x311 - x317 =E= 0;

e222..    x126 - x312 - x318 =E= 0;

e223..    x127 - x313 - x319 =E= 0;

e224..    x275 - 3.34221486003388*b473 =L= 0;

e225..    x276 - 3.34221486003388*b474 =L= 0;

e226..    x277 - 3.34221486003388*b475 =L= 0;

e227..    x278 + 3.34221486003388*b473 =L= 3.34221486003388;

e228..    x279 + 3.34221486003388*b474 =L= 3.34221486003388;

e229..    x280 + 3.34221486003388*b475 =L= 3.34221486003388;

e230..    x311 - 1.32154609891348*b473 =L= 0;

e231..    x312 - 1.32154609891348*b474 =L= 0;

e232..    x313 - 1.32154609891348*b475 =L= 0;

e233..    x317 + 1.32154609891348*b473 =L= 1.32154609891348;

e234..    x318 + 1.32154609891348*b474 =L= 1.32154609891348;

e235..    x319 + 1.32154609891348*b475 =L= 1.32154609891348;

e236.. (x323/(0.001 + 0.999*b476) - log(1 + x254/(0.001 + 0.999*b476)))*(0.001
        + 0.999*b476) =L= 0;

e237.. (x324/(0.001 + 0.999*b477) - log(1 + x255/(0.001 + 0.999*b477)))*(0.001
        + 0.999*b477) =L= 0;

e238.. (x325/(0.001 + 0.999*b478) - log(1 + x256/(0.001 + 0.999*b478)))*(0.001
        + 0.999*b478) =L= 0;

e239..    x260 =E= 0;

e240..    x261 =E= 0;

e241..    x262 =E= 0;

e242..    x326 =E= 0;

e243..    x327 =E= 0;

e244..    x328 =E= 0;

e245..    x101 - x254 - x260 =E= 0;

e246..    x102 - x255 - x261 =E= 0;

e247..    x103 - x256 - x262 =E= 0;

e248..    x128 - x323 - x326 =E= 0;

e249..    x129 - x324 - x327 =E= 0;

e250..    x130 - x325 - x328 =E= 0;

e251..    x254 - 2.54515263975353*b476 =L= 0;

e252..    x255 - 2.54515263975353*b477 =L= 0;

e253..    x256 - 2.54515263975353*b478 =L= 0;

e254..    x260 + 2.54515263975353*b476 =L= 2.54515263975353;

e255..    x261 + 2.54515263975353*b477 =L= 2.54515263975353;

e256..    x262 + 2.54515263975353*b478 =L= 2.54515263975353;

e257..    x323 - 1.26558121681553*b476 =L= 0;

e258..    x324 - 1.26558121681553*b477 =L= 0;

e259..    x325 - 1.26558121681553*b478 =L= 0;

e260..    x326 + 1.26558121681553*b476 =L= 1.26558121681553;

e261..    x327 + 1.26558121681553*b477 =L= 1.26558121681553;

e262..    x328 + 1.26558121681553*b478 =L= 1.26558121681553;

e263..  - 0.9*x281 + x329 =E= 0;

e264..  - 0.9*x282 + x330 =E= 0;

e265..  - 0.9*x283 + x331 =E= 0;

e266..    x284 =E= 0;

e267..    x285 =E= 0;

e268..    x286 =E= 0;

e269..    x332 =E= 0;

e270..    x333 =E= 0;

e271..    x334 =E= 0;

e272..    x113 - x281 - x284 =E= 0;

e273..    x114 - x282 - x285 =E= 0;

e274..    x115 - x283 - x286 =E= 0;

e275..    x131 - x329 - x332 =E= 0;

e276..    x132 - x330 - x333 =E= 0;

e277..    x133 - x331 - x334 =E= 0;

e278..    x281 - 15*b479 =L= 0;

e279..    x282 - 15*b480 =L= 0;

e280..    x283 - 15*b481 =L= 0;

e281..    x284 + 15*b479 =L= 15;

e282..    x285 + 15*b480 =L= 15;

e283..    x286 + 15*b481 =L= 15;

e284..    x329 - 13.5*b479 =L= 0;

e285..    x330 - 13.5*b480 =L= 0;

e286..    x331 - 13.5*b481 =L= 0;

e287..    x332 + 13.5*b479 =L= 13.5;

e288..    x333 + 13.5*b480 =L= 13.5;

e289..    x334 + 13.5*b481 =L= 13.5;

e290..  - 0.6*x287 + x335 =E= 0;

e291..  - 0.6*x288 + x336 =E= 0;

e292..  - 0.6*x289 + x337 =E= 0;

e293..    x290 =E= 0;

e294..    x291 =E= 0;

e295..    x292 =E= 0;

e296..    x338 =E= 0;

e297..    x339 =E= 0;

e298..    x340 =E= 0;

e299..    x116 - x287 - x290 =E= 0;

e300..    x117 - x288 - x291 =E= 0;

e301..    x118 - x289 - x292 =E= 0;

e302..    x134 - x335 - x338 =E= 0;

e303..    x135 - x336 - x339 =E= 0;

e304..    x136 - x337 - x340 =E= 0;

e305..    x287 - 15*b482 =L= 0;

e306..    x288 - 15*b483 =L= 0;

e307..    x289 - 15*b484 =L= 0;

e308..    x290 + 15*b482 =L= 15;

e309..    x291 + 15*b483 =L= 15;

e310..    x292 + 15*b484 =L= 15;

e311..    x335 - 9*b482 =L= 0;

e312..    x336 - 9*b483 =L= 0;

e313..    x337 - 9*b484 =L= 0;

e314..    x338 + 9*b482 =L= 9;

e315..    x339 + 9*b483 =L= 9;

e316..    x340 + 9*b484 =L= 9;

e317.. (x341/(0.001 + 0.999*b485) - 1.1*log(1 + x293/(0.001 + 0.999*b485)))*(
       0.001 + 0.999*b485) =L= 0;

e318.. (x342/(0.001 + 0.999*b486) - 1.1*log(1 + x294/(0.001 + 0.999*b486)))*(
       0.001 + 0.999*b486) =L= 0;

e319.. (x343/(0.001 + 0.999*b487) - 1.1*log(1 + x295/(0.001 + 0.999*b487)))*(
       0.001 + 0.999*b487) =L= 0;

e320..    x296 =E= 0;

e321..    x297 =E= 0;

e322..    x298 =E= 0;

e323..    x344 =E= 0;

e324..    x345 =E= 0;

e325..    x346 =E= 0;

e326..    x119 - x293 - x296 =E= 0;

e327..    x120 - x294 - x297 =E= 0;

e328..    x121 - x295 - x298 =E= 0;

e329..    x137 - x341 - x344 =E= 0;

e330..    x138 - x342 - x345 =E= 0;

e331..    x139 - x343 - x346 =E= 0;

e332..    x293 - 15*b485 =L= 0;

e333..    x294 - 15*b486 =L= 0;

e334..    x295 - 15*b487 =L= 0;

e335..    x296 + 15*b485 =L= 15;

e336..    x297 + 15*b486 =L= 15;

e337..    x298 + 15*b487 =L= 15;

e338..    x341 - 3.04984759446376*b485 =L= 0;

e339..    x342 - 3.04984759446376*b486 =L= 0;

e340..    x343 - 3.04984759446376*b487 =L= 0;

e341..    x344 + 3.04984759446376*b485 =L= 3.04984759446376;

e342..    x345 + 3.04984759446376*b486 =L= 3.04984759446376;

e343..    x346 + 3.04984759446376*b487 =L= 3.04984759446376;

e344..  - 0.9*x302 + x401 =E= 0;

e345..  - 0.9*x303 + x402 =E= 0;

e346..  - 0.9*x304 + x403 =E= 0;

e347..  - x359 + x401 =E= 0;

e348..  - x360 + x402 =E= 0;

e349..  - x361 + x403 =E= 0;

e350..    x308 =E= 0;

e351..    x309 =E= 0;

e352..    x310 =E= 0;

e353..    x362 =E= 0;

e354..    x363 =E= 0;

e355..    x364 =E= 0;

e356..    x404 =E= 0;

e357..    x405 =E= 0;

e358..    x406 =E= 0;

e359..    x122 - x302 - x308 =E= 0;

e360..    x123 - x303 - x309 =E= 0;

e361..    x124 - x304 - x310 =E= 0;

e362..    x146 - x359 - x362 =E= 0;

e363..    x147 - x360 - x363 =E= 0;

e364..    x148 - x361 - x364 =E= 0;

e365..    x170 - x401 - x404 =E= 0;

e366..    x171 - x402 - x405 =E= 0;

e367..    x172 - x403 - x406 =E= 0;

e368..    x302 - 1.83548069293539*b488 =L= 0;

e369..    x303 - 1.83548069293539*b489 =L= 0;

e370..    x304 - 1.83548069293539*b490 =L= 0;

e371..    x308 + 1.83548069293539*b488 =L= 1.83548069293539;

e372..    x309 + 1.83548069293539*b489 =L= 1.83548069293539;

e373..    x310 + 1.83548069293539*b490 =L= 1.83548069293539;

e374..    x359 - 20*b488 =L= 0;

e375..    x360 - 20*b489 =L= 0;

e376..    x361 - 20*b490 =L= 0;

e377..    x362 + 20*b488 =L= 20;

e378..    x363 + 20*b489 =L= 20;

e379..    x364 + 20*b490 =L= 20;

e380..    x401 - 20*b488 =L= 0;

e381..    x402 - 20*b489 =L= 0;

e382..    x403 - 20*b490 =L= 0;

e383..    x404 + 20*b488 =L= 20;

e384..    x405 + 20*b489 =L= 20;

e385..    x406 + 20*b490 =L= 20;

e386.. (x407/(0.001 + 0.999*b491) - log(1 + x314/(0.001 + 0.999*b491)))*(0.001
        + 0.999*b491) =L= 0;

e387.. (x408/(0.001 + 0.999*b492) - log(1 + x315/(0.001 + 0.999*b492)))*(0.001
        + 0.999*b492) =L= 0;

e388.. (x409/(0.001 + 0.999*b493) - log(1 + x316/(0.001 + 0.999*b493)))*(0.001
        + 0.999*b493) =L= 0;

e389..    x320 =E= 0;

e390..    x321 =E= 0;

e391..    x322 =E= 0;

e392..    x410 =E= 0;

e393..    x411 =E= 0;

e394..    x412 =E= 0;

e395..    x125 - x314 - x320 =E= 0;

e396..    x126 - x315 - x321 =E= 0;

e397..    x127 - x316 - x322 =E= 0;

e398..    x173 - x407 - x410 =E= 0;

e399..    x174 - x408 - x411 =E= 0;

e400..    x175 - x409 - x412 =E= 0;

e401..    x314 - 1.32154609891348*b491 =L= 0;

e402..    x315 - 1.32154609891348*b492 =L= 0;

e403..    x316 - 1.32154609891348*b493 =L= 0;

e404..    x320 + 1.32154609891348*b491 =L= 1.32154609891348;

e405..    x321 + 1.32154609891348*b492 =L= 1.32154609891348;

e406..    x322 + 1.32154609891348*b493 =L= 1.32154609891348;

e407..    x407 - 0.842233385663186*b491 =L= 0;

e408..    x408 - 0.842233385663186*b492 =L= 0;

e409..    x409 - 0.842233385663186*b493 =L= 0;

e410..    x410 + 0.842233385663186*b491 =L= 0.842233385663186;

e411..    x411 + 0.842233385663186*b492 =L= 0.842233385663186;

e412..    x412 + 0.842233385663186*b493 =L= 0.842233385663186;

e413.. (x413/(0.001 + 0.999*b494) - 0.7*log(1 + x347/(0.001 + 0.999*b494)))*(
       0.001 + 0.999*b494) =L= 0;

e414.. (x414/(0.001 + 0.999*b495) - 0.7*log(1 + x348/(0.001 + 0.999*b495)))*(
       0.001 + 0.999*b495) =L= 0;

e415.. (x415/(0.001 + 0.999*b496) - 0.7*log(1 + x349/(0.001 + 0.999*b496)))*(
       0.001 + 0.999*b496) =L= 0;

e416..    x350 =E= 0;

e417..    x351 =E= 0;

e418..    x352 =E= 0;

e419..    x416 =E= 0;

e420..    x417 =E= 0;

e421..    x418 =E= 0;

e422..    x140 - x347 - x350 =E= 0;

e423..    x141 - x348 - x351 =E= 0;

e424..    x142 - x349 - x352 =E= 0;

e425..    x176 - x413 - x416 =E= 0;

e426..    x177 - x414 - x417 =E= 0;

e427..    x178 - x415 - x418 =E= 0;

e428..    x347 - 1.26558121681553*b494 =L= 0;

e429..    x348 - 1.26558121681553*b495 =L= 0;

e430..    x349 - 1.26558121681553*b496 =L= 0;

e431..    x350 + 1.26558121681553*b494 =L= 1.26558121681553;

e432..    x351 + 1.26558121681553*b495 =L= 1.26558121681553;

e433..    x352 + 1.26558121681553*b496 =L= 1.26558121681553;

e434..    x413 - 0.572481933717686*b494 =L= 0;

e435..    x414 - 0.572481933717686*b495 =L= 0;

e436..    x415 - 0.572481933717686*b496 =L= 0;

e437..    x416 + 0.572481933717686*b494 =L= 0.572481933717686;

e438..    x417 + 0.572481933717686*b495 =L= 0.572481933717686;

e439..    x418 + 0.572481933717686*b496 =L= 0.572481933717686;

e440.. (x419/(0.001 + 0.999*b497) - 0.65*log(1 + x353/(0.001 + 0.999*b497)))*(
       0.001 + 0.999*b497) =L= 0;

e441.. (x420/(0.001 + 0.999*b498) - 0.65*log(1 + x354/(0.001 + 0.999*b498)))*(
       0.001 + 0.999*b498) =L= 0;

e442.. (x421/(0.001 + 0.999*b499) - 0.65*log(1 + x355/(0.001 + 0.999*b499)))*(
       0.001 + 0.999*b499) =L= 0;

e443.. (x419/(0.001 + 0.999*b497) - 0.65*log(1 + x365/(0.001 + 0.999*b497)))*(
       0.001 + 0.999*b497) =L= 0;

e444.. (x420/(0.001 + 0.999*b498) - 0.65*log(1 + x366/(0.001 + 0.999*b498)))*(
       0.001 + 0.999*b498) =L= 0;

e445.. (x421/(0.001 + 0.999*b499) - 0.65*log(1 + x367/(0.001 + 0.999*b499)))*(
       0.001 + 0.999*b499) =L= 0;

e446..    x356 =E= 0;

e447..    x357 =E= 0;

e448..    x358 =E= 0;

e449..    x368 =E= 0;

e450..    x369 =E= 0;

e451..    x370 =E= 0;

e452..    x422 =E= 0;

e453..    x423 =E= 0;

e454..    x424 =E= 0;

e455..    x143 - x353 - x356 =E= 0;

e456..    x144 - x354 - x357 =E= 0;

e457..    x145 - x355 - x358 =E= 0;

e458..    x152 - x365 - x368 =E= 0;

e459..    x153 - x366 - x369 =E= 0;

e460..    x154 - x367 - x370 =E= 0;

e461..    x179 - x419 - x422 =E= 0;

e462..    x180 - x420 - x423 =E= 0;

e463..    x181 - x421 - x424 =E= 0;

e464..    x353 - 1.26558121681553*b497 =L= 0;

e465..    x354 - 1.26558121681553*b498 =L= 0;

e466..    x355 - 1.26558121681553*b499 =L= 0;

e467..    x356 + 1.26558121681553*b497 =L= 1.26558121681553;

e468..    x357 + 1.26558121681553*b498 =L= 1.26558121681553;

e469..    x358 + 1.26558121681553*b499 =L= 1.26558121681553;

e470..    x365 - 33.5*b497 =L= 0;

e471..    x366 - 33.5*b498 =L= 0;

e472..    x367 - 33.5*b499 =L= 0;

e473..    x368 + 33.5*b497 =L= 33.5;

e474..    x369 + 33.5*b498 =L= 33.5;

e475..    x370 + 33.5*b499 =L= 33.5;

e476..    x419 - 2.30162356062425*b497 =L= 0;

e477..    x420 - 2.30162356062425*b498 =L= 0;

e478..    x421 - 2.30162356062425*b499 =L= 0;

e479..    x422 + 2.30162356062425*b497 =L= 2.30162356062425;

e480..    x423 + 2.30162356062425*b498 =L= 2.30162356062425;

e481..    x424 + 2.30162356062425*b499 =L= 2.30162356062425;

e482..  - x371 + x425 =E= 0;

e483..  - x372 + x426 =E= 0;

e484..  - x373 + x427 =E= 0;

e485..    x374 =E= 0;

e486..    x375 =E= 0;

e487..    x376 =E= 0;

e488..    x428 =E= 0;

e489..    x429 =E= 0;

e490..    x430 =E= 0;

e491..    x155 - x371 - x374 =E= 0;

e492..    x156 - x372 - x375 =E= 0;

e493..    x157 - x373 - x376 =E= 0;

e494..    x182 - x425 - x428 =E= 0;

e495..    x183 - x426 - x429 =E= 0;

e496..    x184 - x427 - x430 =E= 0;

e497..    x371 - 9*b500 =L= 0;

e498..    x372 - 9*b501 =L= 0;

e499..    x373 - 9*b502 =L= 0;

e500..    x374 + 9*b500 =L= 9;

e501..    x375 + 9*b501 =L= 9;

e502..    x376 + 9*b502 =L= 9;

e503..    x425 - 9*b500 =L= 0;

e504..    x426 - 9*b501 =L= 0;

e505..    x427 - 9*b502 =L= 0;

e506..    x428 + 9*b500 =L= 9;

e507..    x429 + 9*b501 =L= 9;

e508..    x430 + 9*b502 =L= 9;

e509..  - x377 + x431 =E= 0;

e510..  - x378 + x432 =E= 0;

e511..  - x379 + x433 =E= 0;

e512..    x380 =E= 0;

e513..    x381 =E= 0;

e514..    x382 =E= 0;

e515..    x434 =E= 0;

e516..    x435 =E= 0;

e517..    x436 =E= 0;

e518..    x158 - x377 - x380 =E= 0;

e519..    x159 - x378 - x381 =E= 0;

e520..    x160 - x379 - x382 =E= 0;

e521..    x185 - x431 - x434 =E= 0;

e522..    x186 - x432 - x435 =E= 0;

e523..    x187 - x433 - x436 =E= 0;

e524..    x377 - 9*b503 =L= 0;

e525..    x378 - 9*b504 =L= 0;

e526..    x379 - 9*b505 =L= 0;

e527..    x380 + 9*b503 =L= 9;

e528..    x381 + 9*b504 =L= 9;

e529..    x382 + 9*b505 =L= 9;

e530..    x431 - 9*b503 =L= 0;

e531..    x432 - 9*b504 =L= 0;

e532..    x433 - 9*b505 =L= 0;

e533..    x434 + 9*b503 =L= 9;

e534..    x435 + 9*b504 =L= 9;

e535..    x436 + 9*b505 =L= 9;

e536.. (x437/(0.001 + 0.999*b506) - 0.75*log(1 + x383/(0.001 + 0.999*b506)))*(
       0.001 + 0.999*b506) =L= 0;

e537.. (x438/(0.001 + 0.999*b507) - 0.75*log(1 + x384/(0.001 + 0.999*b507)))*(
       0.001 + 0.999*b507) =L= 0;

e538.. (x439/(0.001 + 0.999*b508) - 0.75*log(1 + x385/(0.001 + 0.999*b508)))*(
       0.001 + 0.999*b508) =L= 0;

e539..    x386 =E= 0;

e540..    x387 =E= 0;

e541..    x388 =E= 0;

e542..    x440 =E= 0;

e543..    x441 =E= 0;

e544..    x442 =E= 0;

e545..    x161 - x383 - x386 =E= 0;

e546..    x162 - x384 - x387 =E= 0;

e547..    x163 - x385 - x388 =E= 0;

e548..    x188 - x437 - x440 =E= 0;

e549..    x189 - x438 - x441 =E= 0;

e550..    x190 - x439 - x442 =E= 0;

e551..    x383 - 3.04984759446376*b506 =L= 0;

e552..    x384 - 3.04984759446376*b507 =L= 0;

e553..    x385 - 3.04984759446376*b508 =L= 0;

e554..    x386 + 3.04984759446376*b506 =L= 3.04984759446376;

e555..    x387 + 3.04984759446376*b507 =L= 3.04984759446376;

e556..    x388 + 3.04984759446376*b508 =L= 3.04984759446376;

e557..    x437 - 1.04900943706034*b506 =L= 0;

e558..    x438 - 1.04900943706034*b507 =L= 0;

e559..    x439 - 1.04900943706034*b508 =L= 0;

e560..    x440 + 1.04900943706034*b506 =L= 1.04900943706034;

e561..    x441 + 1.04900943706034*b507 =L= 1.04900943706034;

e562..    x442 + 1.04900943706034*b508 =L= 1.04900943706034;

e563.. (x443/(0.001 + 0.999*b509) - 0.8*log(1 + x389/(0.001 + 0.999*b509)))*(
       0.001 + 0.999*b509) =L= 0;

e564.. (x444/(0.001 + 0.999*b510) - 0.8*log(1 + x390/(0.001 + 0.999*b510)))*(
       0.001 + 0.999*b510) =L= 0;

e565.. (x445/(0.001 + 0.999*b511) - 0.8*log(1 + x391/(0.001 + 0.999*b511)))*(
       0.001 + 0.999*b511) =L= 0;

e566..    x392 =E= 0;

e567..    x393 =E= 0;

e568..    x394 =E= 0;

e569..    x446 =E= 0;

e570..    x447 =E= 0;

e571..    x448 =E= 0;

e572..    x164 - x389 - x392 =E= 0;

e573..    x165 - x390 - x393 =E= 0;

e574..    x166 - x391 - x394 =E= 0;

e575..    x191 - x443 - x446 =E= 0;

e576..    x192 - x444 - x447 =E= 0;

e577..    x193 - x445 - x448 =E= 0;

e578..    x389 - 3.04984759446376*b509 =L= 0;

e579..    x390 - 3.04984759446376*b510 =L= 0;

e580..    x391 - 3.04984759446376*b511 =L= 0;

e581..    x392 + 3.04984759446376*b509 =L= 3.04984759446376;

e582..    x393 + 3.04984759446376*b510 =L= 3.04984759446376;

e583..    x394 + 3.04984759446376*b511 =L= 3.04984759446376;

e584..    x443 - 1.11894339953103*b509 =L= 0;

e585..    x444 - 1.11894339953103*b510 =L= 0;

e586..    x445 - 1.11894339953103*b511 =L= 0;

e587..    x446 + 1.11894339953103*b509 =L= 1.11894339953103;

e588..    x447 + 1.11894339953103*b510 =L= 1.11894339953103;

e589..    x448 + 1.11894339953103*b511 =L= 1.11894339953103;

e590.. (x449/(0.001 + 0.999*b512) - 0.85*log(1 + x395/(0.001 + 0.999*b512)))*(
       0.001 + 0.999*b512) =L= 0;

e591.. (x450/(0.001 + 0.999*b513) - 0.85*log(1 + x396/(0.001 + 0.999*b513)))*(
       0.001 + 0.999*b513) =L= 0;

e592.. (x451/(0.001 + 0.999*b514) - 0.85*log(1 + x397/(0.001 + 0.999*b514)))*(
       0.001 + 0.999*b514) =L= 0;

e593..    x398 =E= 0;

e594..    x399 =E= 0;

e595..    x400 =E= 0;

e596..    x452 =E= 0;

e597..    x453 =E= 0;

e598..    x454 =E= 0;

e599..    x167 - x395 - x398 =E= 0;

e600..    x168 - x396 - x399 =E= 0;

e601..    x169 - x397 - x400 =E= 0;

e602..    x194 - x449 - x452 =E= 0;

e603..    x195 - x450 - x453 =E= 0;

e604..    x196 - x451 - x454 =E= 0;

e605..    x395 - 3.04984759446376*b512 =L= 0;

e606..    x396 - 3.04984759446376*b513 =L= 0;

e607..    x397 - 3.04984759446376*b514 =L= 0;

e608..    x398 + 3.04984759446376*b512 =L= 3.04984759446376;

e609..    x399 + 3.04984759446376*b513 =L= 3.04984759446376;

e610..    x400 + 3.04984759446376*b514 =L= 3.04984759446376;

e611..    x449 - 1.18887736200171*b512 =L= 0;

e612..    x450 - 1.18887736200171*b513 =L= 0;

e613..    x451 - 1.18887736200171*b514 =L= 0;

e614..    x452 + 1.18887736200171*b512 =L= 1.18887736200171;

e615..    x453 + 1.18887736200171*b513 =L= 1.18887736200171;

e616..    x454 + 1.18887736200171*b514 =L= 1.18887736200171;

e617..    x2 + 5*b515 =E= 0;

e618..    x3 + 4*b516 =E= 0;

e619..    x4 + 6*b517 =E= 0;

e620..    x5 + 8*b518 =E= 0;

e621..    x6 + 7*b519 =E= 0;

e622..    x7 + 6*b520 =E= 0;

e623..    x8 + 6*b521 =E= 0;

e624..    x9 + 9*b522 =E= 0;

e625..    x10 + 4*b523 =E= 0;

e626..    x11 + 10*b524 =E= 0;

e627..    x12 + 9*b525 =E= 0;

e628..    x13 + 5*b526 =E= 0;

e629..    x14 + 6*b527 =E= 0;

e630..    x15 + 10*b528 =E= 0;

e631..    x16 + 6*b529 =E= 0;

e632..    x17 + 7*b530 =E= 0;

e633..    x18 + 7*b531 =E= 0;

e634..    x19 + 4*b532 =E= 0;

e635..    x20 + 4*b533 =E= 0;

e636..    x21 + 3*b534 =E= 0;

e637..    x22 + 2*b535 =E= 0;

e638..    x23 + 5*b536 =E= 0;

e639..    x24 + 6*b537 =E= 0;

e640..    x25 + 7*b538 =E= 0;

e641..    x26 + 2*b539 =E= 0;

e642..    x27 + 5*b540 =E= 0;

e643..    x28 + 2*b541 =E= 0;

e644..    x29 + 4*b542 =E= 0;

e645..    x30 + 7*b543 =E= 0;

e646..    x31 + 4*b544 =E= 0;

e647..    x32 + 3*b545 =E= 0;

e648..    x33 + 9*b546 =E= 0;

e649..    x34 + 3*b547 =E= 0;

e650..    x35 + 7*b548 =E= 0;

e651..    x36 + 2*b549 =E= 0;

e652..    x37 + 9*b550 =E= 0;

e653..    x38 + 3*b551 =E= 0;

e654..    x39 + b552 =E= 0;

e655..    x40 + 9*b553 =E= 0;

e656..    x41 + 2*b554 =E= 0;

e657..    x42 + 6*b555 =E= 0;

e658..    x43 + 3*b556 =E= 0;

e659..    x44 + 4*b557 =E= 0;

e660..    x45 + 8*b558 =E= 0;

e661..    x46 + b559 =E= 0;

e662..    x47 + 2*b560 =E= 0;

e663..    x48 + 5*b561 =E= 0;

e664..    x49 + 2*b562 =E= 0;

e665..    x50 + 3*b563 =E= 0;

e666..    x51 + 4*b564 =E= 0;

e667..    x52 + 3*b565 =E= 0;

e668..    x53 + 5*b566 =E= 0;

e669..    x54 + 7*b567 =E= 0;

e670..    x55 + 6*b568 =E= 0;

e671..    x56 + 2*b569 =E= 0;

e672..    x57 + 8*b570 =E= 0;

e673..    x58 + 4*b571 =E= 0;

e674..    x59 + b572 =E= 0;

e675..    x60 + 4*b573 =E= 0;

e676..    x61 + b574 =E= 0;

e677..    b455 - b456 =L= 0;

e678..    b455 - b457 =L= 0;

e679..    b456 - b457 =L= 0;

e680..    b458 - b459 =L= 0;

e681..    b458 - b460 =L= 0;

e682..    b459 - b460 =L= 0;

e683..    b461 - b462 =L= 0;

e684..    b461 - b463 =L= 0;

e685..    b462 - b463 =L= 0;

e686..    b464 - b465 =L= 0;

e687..    b464 - b466 =L= 0;

e688..    b465 - b466 =L= 0;

e689..    b467 - b468 =L= 0;

e690..    b467 - b469 =L= 0;

e691..    b468 - b469 =L= 0;

e692..    b470 - b471 =L= 0;

e693..    b470 - b472 =L= 0;

e694..    b471 - b472 =L= 0;

e695..    b473 - b474 =L= 0;

e696..    b473 - b475 =L= 0;

e697..    b474 - b475 =L= 0;

e698..    b476 - b477 =L= 0;

e699..    b476 - b478 =L= 0;

e700..    b477 - b478 =L= 0;

e701..    b479 - b480 =L= 0;

e702..    b479 - b481 =L= 0;

e703..    b480 - b481 =L= 0;

e704..    b482 - b483 =L= 0;

e705..    b482 - b484 =L= 0;

e706..    b483 - b484 =L= 0;

e707..    b485 - b486 =L= 0;

e708..    b485 - b487 =L= 0;

e709..    b486 - b487 =L= 0;

e710..    b488 - b489 =L= 0;

e711..    b488 - b490 =L= 0;

e712..    b489 - b490 =L= 0;

e713..    b491 - b492 =L= 0;

e714..    b491 - b493 =L= 0;

e715..    b492 - b493 =L= 0;

e716..    b494 - b495 =L= 0;

e717..    b494 - b496 =L= 0;

e718..    b495 - b496 =L= 0;

e719..    b497 - b498 =L= 0;

e720..    b497 - b499 =L= 0;

e721..    b498 - b499 =L= 0;

e722..    b500 - b501 =L= 0;

e723..    b500 - b502 =L= 0;

e724..    b501 - b502 =L= 0;

e725..    b503 - b504 =L= 0;

e726..    b503 - b505 =L= 0;

e727..    b504 - b505 =L= 0;

e728..    b506 - b507 =L= 0;

e729..    b506 - b508 =L= 0;

e730..    b507 - b508 =L= 0;

e731..    b509 - b510 =L= 0;

e732..    b509 - b511 =L= 0;

e733..    b510 - b511 =L= 0;

e734..    b512 - b513 =L= 0;

e735..    b512 - b514 =L= 0;

e736..    b513 - b514 =L= 0;

e737..    b515 + b516 =L= 1;

e738..    b515 + b517 =L= 1;

e739..    b515 + b516 =L= 1;

e740..    b516 + b517 =L= 1;

e741..    b515 + b517 =L= 1;

e742..    b516 + b517 =L= 1;

e743..    b518 + b519 =L= 1;

e744..    b518 + b520 =L= 1;

e745..    b518 + b519 =L= 1;

e746..    b519 + b520 =L= 1;

e747..    b518 + b520 =L= 1;

e748..    b519 + b520 =L= 1;

e749..    b521 + b522 =L= 1;

e750..    b521 + b523 =L= 1;

e751..    b521 + b522 =L= 1;

e752..    b522 + b523 =L= 1;

e753..    b521 + b523 =L= 1;

e754..    b522 + b523 =L= 1;

e755..    b524 + b525 =L= 1;

e756..    b524 + b526 =L= 1;

e757..    b524 + b525 =L= 1;

e758..    b525 + b526 =L= 1;

e759..    b524 + b526 =L= 1;

e760..    b525 + b526 =L= 1;

e761..    b527 + b528 =L= 1;

e762..    b527 + b529 =L= 1;

e763..    b527 + b528 =L= 1;

e764..    b528 + b529 =L= 1;

e765..    b527 + b529 =L= 1;

e766..    b528 + b529 =L= 1;

e767..    b530 + b531 =L= 1;

e768..    b530 + b532 =L= 1;

e769..    b530 + b531 =L= 1;

e770..    b531 + b532 =L= 1;

e771..    b530 + b532 =L= 1;

e772..    b531 + b532 =L= 1;

e773..    b533 + b534 =L= 1;

e774..    b533 + b535 =L= 1;

e775..    b533 + b534 =L= 1;

e776..    b534 + b535 =L= 1;

e777..    b533 + b535 =L= 1;

e778..    b534 + b535 =L= 1;

e779..    b536 + b537 =L= 1;

e780..    b536 + b538 =L= 1;

e781..    b536 + b537 =L= 1;

e782..    b537 + b538 =L= 1;

e783..    b536 + b538 =L= 1;

e784..    b537 + b538 =L= 1;

e785..    b539 + b540 =L= 1;

e786..    b539 + b541 =L= 1;

e787..    b539 + b540 =L= 1;

e788..    b540 + b541 =L= 1;

e789..    b539 + b541 =L= 1;

e790..    b540 + b541 =L= 1;

e791..    b542 + b543 =L= 1;

e792..    b542 + b544 =L= 1;

e793..    b542 + b543 =L= 1;

e794..    b543 + b544 =L= 1;

e795..    b542 + b544 =L= 1;

e796..    b543 + b544 =L= 1;

e797..    b545 + b546 =L= 1;

e798..    b545 + b547 =L= 1;

e799..    b545 + b546 =L= 1;

e800..    b546 + b547 =L= 1;

e801..    b545 + b547 =L= 1;

e802..    b546 + b547 =L= 1;

e803..    b548 + b549 =L= 1;

e804..    b548 + b550 =L= 1;

e805..    b548 + b549 =L= 1;

e806..    b549 + b550 =L= 1;

e807..    b548 + b550 =L= 1;

e808..    b549 + b550 =L= 1;

e809..    b551 + b552 =L= 1;

e810..    b551 + b553 =L= 1;

e811..    b551 + b552 =L= 1;

e812..    b552 + b553 =L= 1;

e813..    b551 + b553 =L= 1;

e814..    b552 + b553 =L= 1;

e815..    b554 + b555 =L= 1;

e816..    b554 + b556 =L= 1;

e817..    b554 + b555 =L= 1;

e818..    b555 + b556 =L= 1;

e819..    b554 + b556 =L= 1;

e820..    b555 + b556 =L= 1;

e821..    b557 + b558 =L= 1;

e822..    b557 + b559 =L= 1;

e823..    b557 + b558 =L= 1;

e824..    b558 + b559 =L= 1;

e825..    b557 + b559 =L= 1;

e826..    b558 + b559 =L= 1;

e827..    b560 + b561 =L= 1;

e828..    b560 + b562 =L= 1;

e829..    b560 + b561 =L= 1;

e830..    b561 + b562 =L= 1;

e831..    b560 + b562 =L= 1;

e832..    b561 + b562 =L= 1;

e833..    b563 + b564 =L= 1;

e834..    b563 + b565 =L= 1;

e835..    b563 + b564 =L= 1;

e836..    b564 + b565 =L= 1;

e837..    b563 + b565 =L= 1;

e838..    b564 + b565 =L= 1;

e839..    b566 + b567 =L= 1;

e840..    b566 + b568 =L= 1;

e841..    b566 + b567 =L= 1;

e842..    b567 + b568 =L= 1;

e843..    b566 + b568 =L= 1;

e844..    b567 + b568 =L= 1;

e845..    b569 + b570 =L= 1;

e846..    b569 + b571 =L= 1;

e847..    b569 + b570 =L= 1;

e848..    b570 + b571 =L= 1;

e849..    b569 + b571 =L= 1;

e850..    b570 + b571 =L= 1;

e851..    b572 + b573 =L= 1;

e852..    b572 + b574 =L= 1;

e853..    b572 + b573 =L= 1;

e854..    b573 + b574 =L= 1;

e855..    b572 + b574 =L= 1;

e856..    b573 + b574 =L= 1;

e857..    b455 - b515 =L= 0;

e858..  - b455 + b456 - b516 =L= 0;

e859..  - b455 - b456 + b457 - b517 =L= 0;

e860..    b458 - b518 =L= 0;

e861..  - b458 + b459 - b519 =L= 0;

e862..  - b458 - b459 + b460 - b520 =L= 0;

e863..    b461 - b521 =L= 0;

e864..  - b461 + b462 - b522 =L= 0;

e865..  - b461 - b462 + b463 - b523 =L= 0;

e866..    b464 - b524 =L= 0;

e867..  - b464 + b465 - b525 =L= 0;

e868..  - b464 - b465 + b466 - b526 =L= 0;

e869..    b467 - b527 =L= 0;

e870..  - b467 + b468 - b528 =L= 0;

e871..  - b467 - b468 + b469 - b529 =L= 0;

e872..    b470 - b530 =L= 0;

e873..  - b470 + b471 - b531 =L= 0;

e874..  - b470 - b471 + b472 - b532 =L= 0;

e875..    b473 - b533 =L= 0;

e876..  - b473 + b474 - b534 =L= 0;

e877..  - b473 - b474 + b475 - b535 =L= 0;

e878..    b476 - b536 =L= 0;

e879..  - b476 + b477 - b537 =L= 0;

e880..  - b476 - b477 + b478 - b538 =L= 0;

e881..    b479 - b539 =L= 0;

e882..  - b479 + b480 - b540 =L= 0;

e883..  - b479 - b480 + b481 - b541 =L= 0;

e884..    b482 - b542 =L= 0;

e885..  - b482 + b483 - b543 =L= 0;

e886..  - b482 - b483 + b484 - b544 =L= 0;

e887..    b485 - b545 =L= 0;

e888..  - b485 + b486 - b546 =L= 0;

e889..  - b485 - b486 + b487 - b547 =L= 0;

e890..    b488 - b548 =L= 0;

e891..  - b488 + b489 - b549 =L= 0;

e892..  - b488 - b489 + b490 - b550 =L= 0;

e893..    b491 - b551 =L= 0;

e894..  - b491 + b492 - b552 =L= 0;

e895..  - b491 - b492 + b493 - b553 =L= 0;

e896..    b494 - b554 =L= 0;

e897..  - b494 + b495 - b555 =L= 0;

e898..  - b494 - b495 + b496 - b556 =L= 0;

e899..    b497 - b557 =L= 0;

e900..  - b497 + b498 - b558 =L= 0;

e901..  - b497 - b498 + b499 - b559 =L= 0;

e902..    b500 - b560 =L= 0;

e903..  - b500 + b501 - b561 =L= 0;

e904..  - b500 - b501 + b502 - b562 =L= 0;

e905..    b503 - b563 =L= 0;

e906..  - b503 + b504 - b564 =L= 0;

e907..  - b503 - b504 + b505 - b565 =L= 0;

e908..    b506 - b566 =L= 0;

e909..  - b506 + b507 - b567 =L= 0;

e910..  - b506 - b507 + b508 - b568 =L= 0;

e911..    b509 - b569 =L= 0;

e912..  - b509 + b510 - b570 =L= 0;

e913..  - b509 - b510 + b511 - b571 =L= 0;

e914..    b512 - b572 =L= 0;

e915..  - b512 + b513 - b573 =L= 0;

e916..  - b512 - b513 + b514 - b574 =L= 0;

e917..    b455 + b458 =E= 1;

e918..    b456 + b459 =E= 1;

e919..    b457 + b460 =E= 1;

e920..  - b461 + b470 + b473 =G= 0;

e921..  - b462 + b471 + b474 =G= 0;

e922..  - b463 + b472 + b475 =G= 0;

e923..  - b470 + b488 =G= 0;

e924..  - b471 + b489 =G= 0;

e925..  - b472 + b490 =G= 0;

e926..  - b473 + b491 =G= 0;

e927..  - b474 + b492 =G= 0;

e928..  - b475 + b493 =G= 0;

e929..  - b464 + b476 =G= 0;

e930..  - b465 + b477 =G= 0;

e931..  - b466 + b478 =G= 0;

e932..  - b476 + b494 + b497 =G= 0;

e933..  - b477 + b495 + b498 =G= 0;

e934..  - b478 + b496 + b499 =G= 0;

e935..  - b467 + b479 + b482 + b485 =G= 0;

e936..  - b468 + b480 + b483 + b486 =G= 0;

e937..  - b469 + b481 + b484 + b487 =G= 0;

e938..  - b479 + b497 =G= 0;

e939..  - b480 + b498 =G= 0;

e940..  - b481 + b499 =G= 0;

e941..  - b482 + b500 + b503 =G= 0;

e942..  - b483 + b501 + b504 =G= 0;

e943..  - b484 + b502 + b505 =G= 0;

e944..  - b485 + b506 + b509 + b512 =G= 0;

e945..  - b486 + b507 + b510 + b513 =G= 0;

e946..  - b487 + b508 + b511 + b514 =G= 0;

e947..    b455 + b458 - b461 =G= 0;

e948..    b456 + b459 - b462 =G= 0;

e949..    b457 + b460 - b463 =G= 0;

e950..    b455 + b458 - b464 =G= 0;

e951..    b456 + b459 - b465 =G= 0;

e952..    b457 + b460 - b466 =G= 0;

e953..    b455 + b458 - b467 =G= 0;

e954..    b456 + b459 - b468 =G= 0;

e955..    b457 + b460 - b469 =G= 0;

e956..    b461 - b470 =G= 0;

e957..    b462 - b471 =G= 0;

e958..    b463 - b472 =G= 0;

e959..    b461 - b473 =G= 0;

e960..    b462 - b474 =G= 0;

e961..    b463 - b475 =G= 0;

e962..    b464 - b476 =G= 0;

e963..    b465 - b477 =G= 0;

e964..    b466 - b478 =G= 0;

e965..    b467 - b479 =G= 0;

e966..    b468 - b480 =G= 0;

e967..    b469 - b481 =G= 0;

e968..    b467 - b482 =G= 0;

e969..    b468 - b483 =G= 0;

e970..    b469 - b484 =G= 0;

e971..    b467 - b485 =G= 0;

e972..    b468 - b486 =G= 0;

e973..    b469 - b487 =G= 0;

e974..    b470 - b488 =G= 0;

e975..    b471 - b489 =G= 0;

e976..    b472 - b490 =G= 0;

e977..    b473 - b491 =G= 0;

e978..    b474 - b492 =G= 0;

e979..    b475 - b493 =G= 0;

e980..    b476 - b494 =G= 0;

e981..    b477 - b495 =G= 0;

e982..    b478 - b496 =G= 0;

e983..    b476 - b497 =G= 0;

e984..    b477 - b498 =G= 0;

e985..    b478 - b499 =G= 0;

e986..    b482 - b500 =G= 0;

e987..    b483 - b501 =G= 0;

e988..    b484 - b502 =G= 0;

e989..    b482 - b503 =G= 0;

e990..    b483 - b504 =G= 0;

e991..    b484 - b505 =G= 0;

e992..    b485 - b506 =G= 0;

e993..    b486 - b507 =G= 0;

e994..    b487 - b508 =G= 0;

e995..    b485 - b509 =G= 0;

e996..    b486 - b510 =G= 0;

e997..    b487 - b511 =G= 0;

e998..    b485 - b512 =G= 0;

e999..    b486 - b513 =G= 0;

e1000..    b487 - b514 =G= 0;

* set non-default bounds
x62.up = 40;
x63.up = 40;
x64.up = 40;
x95.up = 30;
x96.up = 30;
x97.up = 30;
x146.up = 20;
x147.up = 20;
x148.up = 20;
x149.up = 20;
x150.up = 20;
x151.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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