MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance rsyn0830m03m

Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
1543.05932200 p1 ( gdx sol )
(infeas: 7e-15)
Other points (infeas > 1e-08)  
Dual Bounds
1543.05932200 (ALPHAECP)
1543.06047200 (ANTIGONE)
1543.05930000 (AOA)
1543.05932600 (BARON)
5972.58200000 (BONMIN)
7768.12544600 (COUENNE)
1543.05932200 (LINDO)
1543.06031000 (SCIP)
1543.06069200 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0830M03M.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 930
#Binary Variables 372
#Integer Variables 0
#Nonlinear Variables 60
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 258
#Nonlinear Nonzeros in Objective 0
#Constraints 2151
#Linear Constraints 2091
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 60
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 5100
#Nonlinear Nonzeros in Jacobian 60
#Nonzeros in (Upper-Left) Hessian of Lagrangian 60
#Nonzeros in Diagonal of Hessian of Lagrangian 60
#Blocks in Hessian of Lagrangian 60
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.0000e-01
Maximal coefficient 4.3000e+02
Infeasibility of initial point 1.4
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       2152      280      477     1395        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        931      559      372        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       5359     5299       60        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,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
          ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
          ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
          ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
          ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583
          ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596
          ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609
          ,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622
          ,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635
          ,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648
          ,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661
          ,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674
          ,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687
          ,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700
          ,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713
          ,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726
          ,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739
          ,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752
          ,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765
          ,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778
          ,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791
          ,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804
          ,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817
          ,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830
          ,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,x842,x843
          ,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856
          ,x857,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869
          ,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882
          ,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895
          ,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908
          ,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921
          ,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931;

Positive Variables  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,x452,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462
          ,x463,x464,x465,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475
          ,x476,x477,x478,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488
          ,x489,x490,x491,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501
          ,x502,x503,x504,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514
          ,x515,x516,x517,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527
          ,x528,x529,x530,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540
          ,x541,x542,x543,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553
          ,x554,x555,x556,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566
          ,x567,x568,x569,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579
          ,x580,x581,x582,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592
          ,x593,x594,x595,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605
          ,x606,x607,x608,x609,x610,x611,x612,x613,x614,x615,x616,x617,x618
          ,x619,x620,x621,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631
          ,x632,x633,x634,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644
          ,x645,x646,x647,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657
          ,x658,x659,x660,x661;

Binary Variables  b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b662,b663
          ,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674,b675,b676
          ,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687,b688,b689
          ,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700,b701,b702
          ,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713,b714,b715
          ,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726,b727,b728
          ,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739,b740,b741
          ,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752,b753,b754
          ,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766,b767
          ,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779,b780
          ,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792,b793
          ,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805,b806
          ,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817,b818,b819
          ,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830,b831,b832
          ,b833,b834,b835,b836,b837,b838,b839,b840,b841;

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,e1116,e1117,e1118,e1119,e1120,e1121
          ,e1122,e1123,e1124,e1125,e1126,e1127,e1128,e1129,e1130,e1131,e1132
          ,e1133,e1134,e1135,e1136,e1137,e1138,e1139,e1140,e1141,e1142,e1143
          ,e1144,e1145,e1146,e1147,e1148,e1149,e1150,e1151,e1152,e1153,e1154
          ,e1155,e1156,e1157,e1158,e1159,e1160,e1161,e1162,e1163,e1164,e1165
          ,e1166,e1167,e1168,e1169,e1170,e1171,e1172,e1173,e1174,e1175,e1176
          ,e1177,e1178,e1179,e1180,e1181,e1182,e1183,e1184,e1185,e1186,e1187
          ,e1188,e1189,e1190,e1191,e1192,e1193,e1194,e1195,e1196,e1197,e1198
          ,e1199,e1200,e1201,e1202,e1203,e1204,e1205,e1206,e1207,e1208,e1209
          ,e1210,e1211,e1212,e1213,e1214,e1215,e1216,e1217,e1218,e1219,e1220
          ,e1221,e1222,e1223,e1224,e1225,e1226,e1227,e1228,e1229,e1230,e1231
          ,e1232,e1233,e1234,e1235,e1236,e1237,e1238,e1239,e1240,e1241,e1242
          ,e1243,e1244,e1245,e1246,e1247,e1248,e1249,e1250,e1251,e1252,e1253
          ,e1254,e1255,e1256,e1257,e1258,e1259,e1260,e1261,e1262,e1263,e1264
          ,e1265,e1266,e1267,e1268,e1269,e1270,e1271,e1272,e1273,e1274,e1275
          ,e1276,e1277,e1278,e1279,e1280,e1281,e1282,e1283,e1284,e1285,e1286
          ,e1287,e1288,e1289,e1290,e1291,e1292,e1293,e1294,e1295,e1296,e1297
          ,e1298,e1299,e1300,e1301,e1302,e1303,e1304,e1305,e1306,e1307,e1308
          ,e1309,e1310,e1311,e1312,e1313,e1314,e1315,e1316,e1317,e1318,e1319
          ,e1320,e1321,e1322,e1323,e1324,e1325,e1326,e1327,e1328,e1329,e1330
          ,e1331,e1332,e1333,e1334,e1335,e1336,e1337,e1338,e1339,e1340,e1341
          ,e1342,e1343,e1344,e1345,e1346,e1347,e1348,e1349,e1350,e1351,e1352
          ,e1353,e1354,e1355,e1356,e1357,e1358,e1359,e1360,e1361,e1362,e1363
          ,e1364,e1365,e1366,e1367,e1368,e1369,e1370,e1371,e1372,e1373,e1374
          ,e1375,e1376,e1377,e1378,e1379,e1380,e1381,e1382,e1383,e1384,e1385
          ,e1386,e1387,e1388,e1389,e1390,e1391,e1392,e1393,e1394,e1395,e1396
          ,e1397,e1398,e1399,e1400,e1401,e1402,e1403,e1404,e1405,e1406,e1407
          ,e1408,e1409,e1410,e1411,e1412,e1413,e1414,e1415,e1416,e1417,e1418
          ,e1419,e1420,e1421,e1422,e1423,e1424,e1425,e1426,e1427,e1428,e1429
          ,e1430,e1431,e1432,e1433,e1434,e1435,e1436,e1437,e1438,e1439,e1440
          ,e1441,e1442,e1443,e1444,e1445,e1446,e1447,e1448,e1449,e1450,e1451
          ,e1452,e1453,e1454,e1455,e1456,e1457,e1458,e1459,e1460,e1461,e1462
          ,e1463,e1464,e1465,e1466,e1467,e1468,e1469,e1470,e1471,e1472,e1473
          ,e1474,e1475,e1476,e1477,e1478,e1479,e1480,e1481,e1482,e1483,e1484
          ,e1485,e1486,e1487,e1488,e1489,e1490,e1491,e1492,e1493,e1494,e1495
          ,e1496,e1497,e1498,e1499,e1500,e1501,e1502,e1503,e1504,e1505,e1506
          ,e1507,e1508,e1509,e1510,e1511,e1512,e1513,e1514,e1515,e1516,e1517
          ,e1518,e1519,e1520,e1521,e1522,e1523,e1524,e1525,e1526,e1527,e1528
          ,e1529,e1530,e1531,e1532,e1533,e1534,e1535,e1536,e1537,e1538,e1539
          ,e1540,e1541,e1542,e1543,e1544,e1545,e1546,e1547,e1548,e1549,e1550
          ,e1551,e1552,e1553,e1554,e1555,e1556,e1557,e1558,e1559,e1560,e1561
          ,e1562,e1563,e1564,e1565,e1566,e1567,e1568,e1569,e1570,e1571,e1572
          ,e1573,e1574,e1575,e1576,e1577,e1578,e1579,e1580,e1581,e1582,e1583
          ,e1584,e1585,e1586,e1587,e1588,e1589,e1590,e1591,e1592,e1593,e1594
          ,e1595,e1596,e1597,e1598,e1599,e1600,e1601,e1602,e1603,e1604,e1605
          ,e1606,e1607,e1608,e1609,e1610,e1611,e1612,e1613,e1614,e1615,e1616
          ,e1617,e1618,e1619,e1620,e1621,e1622,e1623,e1624,e1625,e1626,e1627
          ,e1628,e1629,e1630,e1631,e1632,e1633,e1634,e1635,e1636,e1637,e1638
          ,e1639,e1640,e1641,e1642,e1643,e1644,e1645,e1646,e1647,e1648,e1649
          ,e1650,e1651,e1652,e1653,e1654,e1655,e1656,e1657,e1658,e1659,e1660
          ,e1661,e1662,e1663,e1664,e1665,e1666,e1667,e1668,e1669,e1670,e1671
          ,e1672,e1673,e1674,e1675,e1676,e1677,e1678,e1679,e1680,e1681,e1682
          ,e1683,e1684,e1685,e1686,e1687,e1688,e1689,e1690,e1691,e1692,e1693
          ,e1694,e1695,e1696,e1697,e1698,e1699,e1700,e1701,e1702,e1703,e1704
          ,e1705,e1706,e1707,e1708,e1709,e1710,e1711,e1712,e1713,e1714,e1715
          ,e1716,e1717,e1718,e1719,e1720,e1721,e1722,e1723,e1724,e1725,e1726
          ,e1727,e1728,e1729,e1730,e1731,e1732,e1733,e1734,e1735,e1736,e1737
          ,e1738,e1739,e1740,e1741,e1742,e1743,e1744,e1745,e1746,e1747,e1748
          ,e1749,e1750,e1751,e1752,e1753,e1754,e1755,e1756,e1757,e1758,e1759
          ,e1760,e1761,e1762,e1763,e1764,e1765,e1766,e1767,e1768,e1769,e1770
          ,e1771,e1772,e1773,e1774,e1775,e1776,e1777,e1778,e1779,e1780,e1781
          ,e1782,e1783,e1784,e1785,e1786,e1787,e1788,e1789,e1790,e1791,e1792
          ,e1793,e1794,e1795,e1796,e1797,e1798,e1799,e1800,e1801,e1802,e1803
          ,e1804,e1805,e1806,e1807,e1808,e1809,e1810,e1811,e1812,e1813,e1814
          ,e1815,e1816,e1817,e1818,e1819,e1820,e1821,e1822,e1823,e1824,e1825
          ,e1826,e1827,e1828,e1829,e1830,e1831,e1832,e1833,e1834,e1835,e1836
          ,e1837,e1838,e1839,e1840,e1841,e1842,e1843,e1844,e1845,e1846,e1847
          ,e1848,e1849,e1850,e1851,e1852,e1853,e1854,e1855,e1856,e1857,e1858
          ,e1859,e1860,e1861,e1862,e1863,e1864,e1865,e1866,e1867,e1868,e1869
          ,e1870,e1871,e1872,e1873,e1874,e1875,e1876,e1877,e1878,e1879,e1880
          ,e1881,e1882,e1883,e1884,e1885,e1886,e1887,e1888,e1889,e1890,e1891
          ,e1892,e1893,e1894,e1895,e1896,e1897,e1898,e1899,e1900,e1901,e1902
          ,e1903,e1904,e1905,e1906,e1907,e1908,e1909,e1910,e1911,e1912,e1913
          ,e1914,e1915,e1916,e1917,e1918,e1919,e1920,e1921,e1922,e1923,e1924
          ,e1925,e1926,e1927,e1928,e1929,e1930,e1931,e1932,e1933,e1934,e1935
          ,e1936,e1937,e1938,e1939,e1940,e1941,e1942,e1943,e1944,e1945,e1946
          ,e1947,e1948,e1949,e1950,e1951,e1952,e1953,e1954,e1955,e1956,e1957
          ,e1958,e1959,e1960,e1961,e1962,e1963,e1964,e1965,e1966,e1967,e1968
          ,e1969,e1970,e1971,e1972,e1973,e1974,e1975,e1976,e1977,e1978,e1979
          ,e1980,e1981,e1982,e1983,e1984,e1985,e1986,e1987,e1988,e1989,e1990
          ,e1991,e1992,e1993,e1994,e1995,e1996,e1997,e1998,e1999,e2000,e2001
          ,e2002,e2003,e2004,e2005,e2006,e2007,e2008,e2009,e2010,e2011,e2012
          ,e2013,e2014,e2015,e2016,e2017,e2018,e2019,e2020,e2021,e2022,e2023
          ,e2024,e2025,e2026,e2027,e2028,e2029,e2030,e2031,e2032,e2033,e2034
          ,e2035,e2036,e2037,e2038,e2039,e2040,e2041,e2042,e2043,e2044,e2045
          ,e2046,e2047,e2048,e2049,e2050,e2051,e2052,e2053,e2054,e2055,e2056
          ,e2057,e2058,e2059,e2060,e2061,e2062,e2063,e2064,e2065,e2066,e2067
          ,e2068,e2069,e2070,e2071,e2072,e2073,e2074,e2075,e2076,e2077,e2078
          ,e2079,e2080,e2081,e2082,e2083,e2084,e2085,e2086,e2087,e2088,e2089
          ,e2090,e2091,e2092,e2093,e2094,e2095,e2096,e2097,e2098,e2099,e2100
          ,e2101,e2102,e2103,e2104,e2105,e2106,e2107,e2108,e2109,e2110,e2111
          ,e2112,e2113,e2114,e2115,e2116,e2117,e2118,e2119,e2120,e2121,e2122
          ,e2123,e2124,e2125,e2126,e2127,e2128,e2129,e2130,e2131,e2132,e2133
          ,e2134,e2135,e2136,e2137,e2138,e2139,e2140,e2141,e2142,e2143,e2144
          ,e2145,e2146,e2147,e2148,e2149,e2150,e2151,e2152;


e1..    objvar + 20*x2 + 17*x3 + 15*x4 + 20*x17 + 21*x18 + 19*x19 + 18*x29
      + 20*x30 + 20*x31 + 16*x65 + 19*x66 + 17*x67 - 26*x77 - 31*x78 - 31*x79
      - 30*x83 - 29*x84 - 37*x85 + 20*x86 + 18*x87 + 21*x88 - 2*x95 - 2*x96
      - 2*x97 - 3*x98 - 2*x99 - 2*x100 - 3*x101 - 3*x102 - 3*x103 - 2*x104
      - 2*x105 - 2*x106 + 6*b359 + 4*b360 + 3*b361 + 40*b362 + 35*b363
      + 20*b364 + 46*b365 + 39*b366 + 23*b367 + 7*b371 + 4*b372 + 4*b373
      + 30*b374 + 25*b375 + 20*b376 + 37*b377 + 29*b378 + 22*b379 + 7*b383
      + 5*b384 + 3*b385 + 15*b386 + 5*b387 + 2*b388 + 22*b389 + 10*b390
      + 5*b391 + 11*b395 + 8*b396 + 6*b397 + 13*b398 + 8*b399 + 3*b400
      + 24*b401 + 16*b402 + 9*b403 + 10*b407 + 7*b408 + 6*b409 + 13*b410
      + 8*b411 + 3*b412 + 23*b413 + 15*b414 + 9*b415 + 9*b419 + 9*b420 + 7*b421
      + 30*b422 + 30*b423 + 25*b424 + 39*b425 + 39*b426 + 32*b427 + 8*b431
      + 7*b432 + 7*b433 + 20*b434 + 15*b435 + 10*b436 + 28*b437 + 22*b438
      + 17*b439 + 8*b443 + 6*b444 + 5*b445 + 15*b446 + 10*b447 + 6*b448
      + 23*b449 + 16*b450 + 11*b451 + x452 + x453 + x454 - 5*x470 - 10*x471
      - 5*x472 + 2*x485 + x486 + 2*x487 + 10*x536 + 5*x537 + 5*x538 + 5*x539
      + 5*x540 + 5*x541 - 40*x560 - 30*x561 - 15*x562 - 15*x563 - 20*x564
      - 25*x565 - 10*x566 - 30*x567 - 40*x568 - 30*x569 - 20*x570 - 20*x571
      - 35*x572 - 50*x573 - 20*x574 - 20*x575 - 30*x576 - 35*x577 - 25*x578
      - 50*x579 - 10*x580 - 15*x581 - 20*x582 - 20*x583 - 30*x605 - 40*x606
      - 40*x607 + x620 + x621 + x622 - 80*x644 - 90*x645 - 120*x646 - 285*x647
      - 390*x648 - 350*x649 - 290*x650 - 405*x651 - 190*x652 - 280*x653
      - 400*x654 - 430*x655 - 290*x656 - 300*x657 - 240*x658 - 350*x659
      - 250*x660 - 300*x661 + 5*b752 + 4*b753 + 6*b754 + 8*b755 + 7*b756
      + 6*b757 + 6*b758 + 9*b759 + 4*b760 + 10*b761 + 9*b762 + 5*b763 + 6*b764
      + 10*b765 + 6*b766 + 7*b767 + 7*b768 + 4*b769 + 4*b770 + 3*b771 + 2*b772
      + 5*b773 + 6*b774 + 7*b775 + 2*b776 + 5*b777 + 2*b778 + 4*b779 + 7*b780
      + 4*b781 + 3*b782 + 9*b783 + 3*b784 + 7*b785 + 2*b786 + 9*b787 + 3*b788
      + b789 + 9*b790 + 2*b791 + 6*b792 + 3*b793 + 4*b794 + 8*b795 + b796
      + 2*b797 + 5*b798 + 2*b799 + 3*b800 + 4*b801 + 3*b802 + 5*b803 + 7*b804
      + 6*b805 + 2*b806 + 8*b807 + 4*b808 + b809 + 4*b810 + b811 + 2*b812
      + 5*b813 + 2*b814 + 9*b815 + 2*b816 + 9*b817 + 5*b818 + 8*b819 + 4*b820
      + 2*b821 + 3*b822 + 8*b823 + 10*b824 + 6*b825 + 3*b826 + 4*b827 + 8*b828
      + 7*b829 + 7*b830 + 3*b831 + 9*b832 + 4*b833 + 8*b834 + 6*b835 + 2*b836
      + b837 + 3*b838 + 8*b839 + 3*b840 + 4*b841 =E= 0;

e2..    x2 - 0.2*x107 =E= 0;

e3..    x3 - 0.2*x108 =E= 0;

e4..    x4 - 0.2*x109 =E= 0;

e5..    x5 - 0.2*x110 =E= 0;

e6..    x6 - 0.2*x111 =E= 0;

e7..    x7 - 0.2*x112 =E= 0;

e8..    x8 - 0.2*x113 =E= 0;

e9..    x9 - 0.2*x114 =E= 0;

e10..    x10 - 0.2*x115 =E= 0;

e11..    x11 - 0.2*x116 =E= 0;

e12..    x12 - 0.2*x117 =E= 0;

e13..    x13 - 0.2*x118 =E= 0;

e14..    x14 - 0.2*x119 =E= 0;

e15..    x15 - 0.2*x120 =E= 0;

e16..    x16 - 0.2*x121 =E= 0;

e17..    x17 - 0.5*x122 =E= 0;

e18..    x18 - 0.5*x123 =E= 0;

e19..    x19 - 0.5*x124 =E= 0;

e20..    x20 - 0.5*x125 =E= 0;

e21..    x21 - 0.5*x126 =E= 0;

e22..    x22 - 0.5*x127 =E= 0;

e23..    x23 - 0.7*x128 =E= 0;

e24..    x24 - 0.7*x129 =E= 0;

e25..    x25 - 0.7*x130 =E= 0;

e26..    x26 - 0.7*x131 =E= 0;

e27..    x27 - 0.7*x132 =E= 0;

e28..    x28 - 0.7*x133 =E= 0;

e29..    x29 - 1.2*x134 =E= 0;

e30..    x30 - 1.2*x135 =E= 0;

e31..    x31 - 1.2*x136 =E= 0;

e32..    x32 - 1.2*x137 =E= 0;

e33..    x33 - 1.2*x138 =E= 0;

e34..    x34 - 1.2*x139 =E= 0;

e35..    x35 - 0.5*x140 =E= 0;

e36..    x36 - 0.5*x141 =E= 0;

e37..    x37 - 0.5*x142 =E= 0;

e38..    x38 - 0.7*x143 =E= 0;

e39..    x39 - 0.7*x144 =E= 0;

e40..    x40 - 0.7*x145 =E= 0;

e41..    x41 - 1.2*x146 =E= 0;

e42..    x42 - 1.2*x147 =E= 0;

e43..    x43 - 1.2*x148 =E= 0;

e44..    x44 - 1.2*x149 =E= 0;

e45..    x45 - 1.2*x150 =E= 0;

e46..    x46 - 1.2*x151 =E= 0;

e47..    x47 - 1.2*x152 =E= 0;

e48..    x48 - 1.2*x153 =E= 0;

e49..    x49 - 1.2*x154 =E= 0;

e50..    x50 - 1.2*x155 =E= 0;

e51..    x51 - 1.2*x156 =E= 0;

e52..    x52 - 1.2*x157 =E= 0;

e53..    x53 - 0.3*x158 =E= 0;

e54..    x54 - 0.3*x159 =E= 0;

e55..    x55 - 0.3*x160 =E= 0;

e56..    x56 - 0.9*x161 =E= 0;

e57..    x57 - 0.9*x162 =E= 0;

e58..    x58 - 0.9*x163 =E= 0;

e59..    x59 - 0.3*x164 =E= 0;

e60..    x60 - 0.3*x165 =E= 0;

e61..    x61 - 0.3*x166 =E= 0;

e62..    x62 - 0.9*x167 =E= 0;

e63..    x63 - 0.9*x168 =E= 0;

e64..    x64 - 0.9*x169 =E= 0;

e65..    x65 - 0.4*x170 =E= 0;

e66..    x66 - 0.4*x171 =E= 0;

e67..    x67 - 0.4*x172 =E= 0;

e68..    x68 - 0.4*x173 =E= 0;

e69..    x69 - 0.4*x174 =E= 0;

e70..    x70 - 0.4*x175 =E= 0;

e71..    x71 - 0.4*x176 =E= 0;

e72..    x72 - 0.4*x177 =E= 0;

e73..    x73 - 0.4*x178 =E= 0;

e74..    x74 - 1.6*x179 =E= 0;

e75..    x75 - 1.6*x180 =E= 0;

e76..    x76 - 1.6*x181 =E= 0;

e77..    x77 - 1.6*x182 =E= 0;

e78..    x78 - 1.6*x183 =E= 0;

e79..    x79 - 1.6*x184 =E= 0;

e80..    x80 - 1.1*x185 =E= 0;

e81..    x81 - 1.1*x186 =E= 0;

e82..    x82 - 1.1*x187 =E= 0;

e83..    x83 - 1.1*x188 =E= 0;

e84..    x84 - 1.1*x189 =E= 0;

e85..    x85 - 1.1*x190 =E= 0;

e86..    x86 - 0.7*x191 =E= 0;

e87..    x87 - 0.7*x192 =E= 0;

e88..    x88 - 0.7*x193 =E= 0;

e89..    x89 - 0.7*x194 =E= 0;

e90..    x90 - 0.7*x195 =E= 0;

e91..    x91 - 0.7*x196 =E= 0;

e92..    x92 - 0.7*x197 =E= 0;

e93..    x93 - 0.7*x198 =E= 0;

e94..    x94 - 0.7*x199 =E= 0;

e95..    x95 - 0.2*x200 =E= 0;

e96..    x96 - 0.2*x201 =E= 0;

e97..    x97 - 0.2*x202 =E= 0;

e98..    x98 - 0.7*x203 =E= 0;

e99..    x99 - 0.7*x204 =E= 0;

e100..    x100 - 0.7*x205 =E= 0;

e101..    x101 - 0.3*x206 =E= 0;

e102..    x102 - 0.3*x207 =E= 0;

e103..    x103 - 0.3*x208 =E= 0;

e104..    x104 - 0.9*x209 =E= 0;

e105..    x105 - 0.9*x210 =E= 0;

e106..    x106 - 0.9*x211 =E= 0;

e107..    x77 =G= 1.2;

e108..    x78 =G= 1.15;

e109..    x79 =G= 1.1;

e110..    x83 =G= 1.2;

e111..    x84 =G= 1.15;

e112..    x85 =G= 1.1;

e113..    x95 =G= 1.1;

e114..    x96 =G= 1.1;

e115..    x97 =G= 1.1;

e116..    x98 =G= 1.1;

e117..    x99 =G= 1.1;

e118..    x100 =G= 1.1;

e119..    x101 =G= 1.4;

e120..    x102 =G= 1.3;

e121..    x103 =G= 1.2;

e122..    x104 =G= 1.3;

e123..    x105 =G= 1.2;

e124..    x106 =G= 1.1;

e125..    x2 =L= 55;

e126..    x3 =L= 40;

e127..    x4 =L= 40;

e128..    x17 =L= 46;

e129..    x18 =L= 41;

e130..    x19 =L= 50;

e131..    x29 =L= 45;

e132..    x30 =L= 62;

e133..    x31 =L= 42;

e134..    x65 =L= 54;

e135..    x66 =L= 51;

e136..    x67 =L= 50;

e137..    x86 =L= 40;

e138..    x87 =L= 45;

e139..    x88 =L= 41;

e140..    x2 - x5 - x8 =E= 0;

e141..    x3 - x6 - x9 =E= 0;

e142..    x4 - x7 - x10 =E= 0;

e143..    x11 - x14 =E= 0;

e144..    x12 - x15 =E= 0;

e145..    x13 - x16 =E= 0;

e146..    x17 - x20 + x35 =E= 0;

e147..    x18 - x21 + x36 =E= 0;

e148..    x19 - x22 + x37 =E= 0;

e149..    x23 - x26 + x38 =E= 0;

e150..    x24 - x27 + x39 =E= 0;

e151..    x25 - x28 + x40 =E= 0;

e152..    x29 - x32 - x41 =E= 0;

e153..    x30 - x33 - x42 =E= 0;

e154..    x31 - x34 - x43 =E= 0;

e155..    x44 - x47 - x50 =E= 0;

e156..    x45 - x48 - x51 =E= 0;

e157..    x46 - x49 - x52 =E= 0;

e158..    x53 - x59 =E= 0;

e159..    x54 - x60 =E= 0;

e160..    x55 - x61 =E= 0;

e161..    x56 - x62 =E= 0;

e162..    x57 - x63 =E= 0;

e163..    x58 - x64 =E= 0;

e164..    x65 - x68 - x71 =E= 0;

e165..    x66 - x69 - x72 =E= 0;

e166..    x67 - x70 - x73 =E= 0;

e167..    x74 - x77 =E= 0;

e168..    x75 - x78 =E= 0;

e169..    x76 - x79 =E= 0;

e170..    x80 - x83 =E= 0;

e171..    x81 - x84 =E= 0;

e172..    x82 - x85 =E= 0;

e173..    x86 - x89 =E= 0;

e174..    x87 - x90 =E= 0;

e175..    x88 - x91 =E= 0;

e176..    x5 - x11 - x212 =E= 0;

e177..    x6 - x12 - x213 =E= 0;

e178..    x7 - x13 - x214 =E= 0;

e179..    x8 + x20 - x23 - x215 =E= 0;

e180..    x9 + x21 - x24 - x216 =E= 0;

e181..    x10 + x22 - x25 - x217 =E= 0;

e182..    x32 - x35 - x38 - x218 =E= 0;

e183..    x33 - x36 - x39 - x219 =E= 0;

e184..    x34 - x37 - x40 - x220 =E= 0;

e185..    x41 - x44 - x221 =E= 0;

e186..    x42 - x45 - x222 =E= 0;

e187..    x43 - x46 - x223 =E= 0;

e188..    x50 - x53 - x56 - x224 =E= 0;

e189..    x51 - x54 - x57 - x225 =E= 0;

e190..    x52 - x55 - x58 - x226 =E= 0;

e191..    x47 + x68 - x74 - x227 =E= 0;

e192..    x48 + x69 - x75 - x228 =E= 0;

e193..    x49 + x70 - x76 - x229 =E= 0;

e194..    x71 - x80 + x92 - x230 =E= 0;

e195..    x72 - x81 + x93 - x231 =E= 0;

e196..    x73 - x82 + x94 - x232 =E= 0;

e197..    x89 - x92 - x233 =E= 0;

e198..    x90 - x93 - x234 =E= 0;

e199..    x91 - x94 - x235 =E= 0;

e200..    x113 - x125 =L= 0;

e201..    x114 - x126 =L= 0;

e202..    x115 - x127 =L= 0;

e203..    x152 - x173 =L= 0;

e204..    x153 - x174 =L= 0;

e205..    x154 - x175 =L= 0;

e206..    x176 - x197 =L= 0;

e207..    x177 - x198 =L= 0;

e208..    x178 - x199 =L= 0;

e209..  - 0.8*x110 + x116 + 233.75*b260 =L= 233.75;

e210..  - 0.8*x111 + x117 + 170*b261 =L= 170;

e211..  - 0.8*x112 + x118 + 170*b262 =L= 170;

e212..  - 0.85*x110 + x116 + 233.75*b263 =L= 233.75;

e213..  - 0.85*x111 + x117 + 170*b264 =L= 170;

e214..  - 0.85*x112 + x118 + 170*b265 =L= 170;

e215..  - 0.8*x110 + x116 + 233.75*b266 =L= 233.75;

e216..  - 0.8*x111 + x117 + 170*b267 =L= 170;

e217..  - 0.8*x112 + x118 + 170*b268 =L= 170;

e218..  - 0.85*x110 + x116 + 233.75*b269 =L= 233.75;

e219..  - 0.85*x111 + x117 + 170*b270 =L= 170;

e220..  - 0.85*x112 + x118 + 170*b271 =L= 170;

e221..  - 0.8*x110 + x116 - 233.75*b260 =G= -233.75;

e222..  - 0.8*x111 + x117 - 170*b261 =G= -170;

e223..  - 0.8*x112 + x118 - 170*b262 =G= -170;

e224..  - 0.85*x110 + x116 - 233.75*b263 =G= -233.75;

e225..  - 0.85*x111 + x117 - 170*b264 =G= -170;

e226..  - 0.85*x112 + x118 - 170*b265 =G= -170;

e227..  - 0.8*x110 + x116 - 233.75*b266 =G= -233.75;

e228..  - 0.8*x111 + x117 - 170*b267 =G= -170;

e229..  - 0.8*x112 + x118 - 170*b268 =G= -170;

e230..  - 0.85*x110 + x116 - 233.75*b269 =G= -233.75;

e231..  - 0.85*x111 + x117 - 170*b270 =G= -170;

e232..  - 0.85*x112 + x118 - 170*b271 =G= -170;

e233..  - 0.9*x113 + x128 + 383.5625*b272 =L= 383.5625;

e234..  - 0.9*x114 + x129 + 316.001666666667*b273 =L= 316.001666666667;

e235..  - 0.9*x115 + x130 + 317.585*b274 =L= 317.585;

e236..  - 0.95*x113 + x128 + 383.5625*b275 =L= 383.5625;

e237..  - 0.95*x114 + x129 + 316.001666666667*b276 =L= 316.001666666667;

e238..  - 0.95*x115 + x130 + 317.585*b277 =L= 317.585;

e239..  - 0.9*x113 + x128 + 383.5625*b278 =L= 383.5625;

e240..  - 0.9*x114 + x129 + 316.001666666667*b279 =L= 316.001666666667;

e241..  - 0.9*x115 + x130 + 317.585*b280 =L= 317.585;

e242..  - 0.95*x113 + x128 + 383.5625*b281 =L= 383.5625;

e243..  - 0.95*x114 + x129 + 316.001666666667*b282 =L= 316.001666666667;

e244..  - 0.95*x115 + x130 + 317.585*b283 =L= 317.585;

e245..  - 0.9*x113 + x128 - 261.25*b272 =G= -261.25;

e246..  - 0.9*x114 + x129 - 190*b273 =G= -190;

e247..  - 0.9*x115 + x130 - 190*b274 =G= -190;

e248..  - 0.95*x113 + x128 - 261.25*b275 =G= -261.25;

e249..  - 0.95*x114 + x129 - 190*b276 =G= -190;

e250..  - 0.95*x115 + x130 - 190*b277 =G= -190;

e251..  - 0.9*x113 + x128 - 261.25*b278 =G= -261.25;

e252..  - 0.9*x114 + x129 - 190*b279 =G= -190;

e253..  - 0.9*x115 + x130 - 190*b280 =G= -190;

e254..  - 0.95*x113 + x128 - 261.25*b281 =G= -261.25;

e255..  - 0.95*x114 + x129 - 190*b282 =G= -190;

e256..  - 0.95*x115 + x130 - 190*b283 =G= -190;

e257..  - 0.85*x137 + x140 + 36.75*b284 =L= 36.75;

e258..  - 0.85*x138 + x141 + 50.6333333333333*b285 =L= 50.6333333333333;

e259..  - 0.85*x139 + x142 + 34.3*b286 =L= 34.3;

e260..  - 0.98*x137 + x140 + 36.75*b287 =L= 36.75;

e261..  - 0.98*x138 + x141 + 50.6333333333333*b288 =L= 50.6333333333333;

e262..  - 0.98*x139 + x142 + 34.3*b289 =L= 34.3;

e263..  - 0.85*x137 + x140 + 36.75*b290 =L= 36.75;

e264..  - 0.85*x138 + x141 + 50.6333333333333*b291 =L= 50.6333333333333;

e265..  - 0.85*x139 + x142 + 34.3*b292 =L= 34.3;

e266..  - 0.98*x137 + x140 + 36.75*b293 =L= 36.75;

e267..  - 0.98*x138 + x141 + 50.6333333333333*b294 =L= 50.6333333333333;

e268..  - 0.98*x139 + x142 + 34.3*b295 =L= 34.3;

e269..  - 0.85*x137 + x143 + 36.75*b284 =L= 36.75;

e270..  - 0.85*x138 + x144 + 50.6333333333333*b285 =L= 50.6333333333333;

e271..  - 0.85*x139 + x145 + 34.3*b286 =L= 34.3;

e272..  - 0.98*x137 + x143 + 36.75*b287 =L= 36.75;

e273..  - 0.98*x138 + x144 + 50.6333333333333*b288 =L= 50.6333333333333;

e274..  - 0.98*x139 + x145 + 34.3*b289 =L= 34.3;

e275..  - 0.85*x137 + x143 + 36.75*b290 =L= 36.75;

e276..  - 0.85*x138 + x144 + 50.6333333333333*b291 =L= 50.6333333333333;

e277..  - 0.85*x139 + x145 + 34.3*b292 =L= 34.3;

e278..  - 0.98*x137 + x143 + 36.75*b293 =L= 36.75;

e279..  - 0.98*x138 + x144 + 50.6333333333333*b294 =L= 50.6333333333333;

e280..  - 0.98*x139 + x145 + 34.3*b295 =L= 34.3;

e281..  - 0.85*x137 + x140 - 36.75*b284 =G= -36.75;

e282..  - 0.85*x138 + x141 - 50.6333333333333*b285 =G= -50.6333333333333;

e283..  - 0.85*x139 + x142 - 34.3*b286 =G= -34.3;

e284..  - 0.98*x137 + x140 - 36.75*b287 =G= -36.75;

e285..  - 0.98*x138 + x141 - 50.6333333333333*b288 =G= -50.6333333333333;

e286..  - 0.98*x139 + x142 - 34.3*b289 =G= -34.3;

e287..  - 0.85*x137 + x140 - 36.75*b290 =G= -36.75;

e288..  - 0.85*x138 + x141 - 50.6333333333333*b291 =G= -50.6333333333333;

e289..  - 0.85*x139 + x142 - 34.3*b292 =G= -34.3;

e290..  - 0.98*x137 + x140 - 36.75*b293 =G= -36.75;

e291..  - 0.98*x138 + x141 - 50.6333333333333*b294 =G= -50.6333333333333;

e292..  - 0.98*x139 + x142 - 34.3*b295 =G= -34.3;

e293..  - 0.85*x137 + x143 - 36.75*b284 =G= -36.75;

e294..  - 0.85*x138 + x144 - 50.6333333333333*b285 =G= -50.6333333333333;

e295..  - 0.85*x139 + x145 - 34.3*b286 =G= -34.3;

e296..  - 0.98*x137 + x143 - 36.75*b287 =G= -36.75;

e297..  - 0.98*x138 + x144 - 50.6333333333333*b288 =G= -50.6333333333333;

e298..  - 0.98*x139 + x145 - 34.3*b289 =G= -34.3;

e299..  - 0.85*x137 + x143 - 36.75*b290 =G= -36.75;

e300..  - 0.85*x138 + x144 - 50.6333333333333*b291 =G= -50.6333333333333;

e301..  - 0.85*x139 + x145 - 34.3*b292 =G= -34.3;

e302..  - 0.98*x137 + x143 - 36.75*b293 =G= -36.75;

e303..  - 0.98*x138 + x144 - 50.6333333333333*b294 =G= -50.6333333333333;

e304..  - 0.98*x139 + x145 - 34.3*b295 =G= -34.3;

e305..  - 0.85*x146 + x149 + 33.75*b296 =L= 33.75;

e306..  - 0.85*x147 + x150 + 46.5*b297 =L= 46.5;

e307..  - 0.85*x148 + x151 + 31.5*b298 =L= 31.5;

e308..  - 0.9*x146 + x149 + 33.75*b299 =L= 33.75;

e309..  - 0.9*x147 + x150 + 46.5*b300 =L= 46.5;

e310..  - 0.9*x148 + x151 + 31.5*b301 =L= 31.5;

e311..  - 0.85*x146 + x149 + 33.75*b302 =L= 33.75;

e312..  - 0.85*x147 + x150 + 46.5*b303 =L= 46.5;

e313..  - 0.85*x148 + x151 + 31.5*b304 =L= 31.5;

e314..  - 0.9*x146 + x149 + 33.75*b305 =L= 33.75;

e315..  - 0.9*x147 + x150 + 46.5*b306 =L= 46.5;

e316..  - 0.9*x148 + x151 + 31.5*b307 =L= 31.5;

e317..  - 0.85*x146 + x149 - 33.75*b296 =G= -33.75;

e318..  - 0.85*x147 + x150 - 46.5*b297 =G= -46.5;

e319..  - 0.85*x148 + x151 - 31.5*b298 =G= -31.5;

e320..  - 0.9*x146 + x149 - 33.75*b299 =G= -33.75;

e321..  - 0.9*x147 + x150 - 46.5*b300 =G= -46.5;

e322..  - 0.9*x148 + x151 - 31.5*b301 =G= -31.5;

e323..  - 0.85*x146 + x149 - 33.75*b302 =G= -33.75;

e324..  - 0.85*x147 + x150 - 46.5*b303 =G= -46.5;

e325..  - 0.85*x148 + x151 - 31.5*b304 =G= -31.5;

e326..  - 0.9*x146 + x149 - 33.75*b305 =G= -33.75;

e327..  - 0.9*x147 + x150 - 46.5*b306 =G= -46.5;

e328..  - 0.9*x148 + x151 - 31.5*b307 =G= -31.5;

e329..  - 0.75*x155 + x158 + 32.0625*b308 =L= 32.0625;

e330..  - 0.75*x156 + x159 + 44.175*b309 =L= 44.175;

e331..  - 0.75*x157 + x160 + 29.925*b310 =L= 29.925;

e332..  - 0.95*x155 + x158 + 32.0625*b311 =L= 32.0625;

e333..  - 0.95*x156 + x159 + 44.175*b312 =L= 44.175;

e334..  - 0.95*x157 + x160 + 29.925*b313 =L= 29.925;

e335..  - 0.9*x155 + x158 + 32.0625*b314 =L= 32.0625;

e336..  - 0.9*x156 + x159 + 44.175*b315 =L= 44.175;

e337..  - 0.9*x157 + x160 + 29.925*b316 =L= 29.925;

e338..  - 0.95*x155 + x158 + 32.0625*b317 =L= 32.0625;

e339..  - 0.95*x156 + x159 + 44.175*b318 =L= 44.175;

e340..  - 0.95*x157 + x160 + 29.925*b319 =L= 29.925;

e341..  - 0.75*x155 + x161 + 32.0625*b308 =L= 32.0625;

e342..  - 0.75*x156 + x162 + 44.175*b309 =L= 44.175;

e343..  - 0.75*x157 + x163 + 29.925*b310 =L= 29.925;

e344..  - 0.95*x155 + x161 + 32.0625*b311 =L= 32.0625;

e345..  - 0.95*x156 + x162 + 44.175*b312 =L= 44.175;

e346..  - 0.95*x157 + x163 + 29.925*b313 =L= 29.925;

e347..  - 0.9*x155 + x161 + 32.0625*b314 =L= 32.0625;

e348..  - 0.9*x156 + x162 + 44.175*b315 =L= 44.175;

e349..  - 0.9*x157 + x163 + 29.925*b316 =L= 29.925;

e350..  - 0.95*x155 + x161 + 32.0625*b317 =L= 32.0625;

e351..  - 0.95*x156 + x162 + 44.175*b318 =L= 44.175;

e352..  - 0.95*x157 + x163 + 29.925*b319 =L= 29.925;

e353..  - 0.75*x155 + x158 - 32.0625*b308 =G= -32.0625;

e354..  - 0.75*x156 + x159 - 44.175*b309 =G= -44.175;

e355..  - 0.75*x157 + x160 - 29.925*b310 =G= -29.925;

e356..  - 0.95*x155 + x158 - 32.0625*b311 =G= -32.0625;

e357..  - 0.95*x156 + x159 - 44.175*b312 =G= -44.175;

e358..  - 0.95*x157 + x160 - 29.925*b313 =G= -29.925;

e359..  - 0.9*x155 + x158 - 32.0625*b314 =G= -32.0625;

e360..  - 0.9*x156 + x159 - 44.175*b315 =G= -44.175;

e361..  - 0.9*x157 + x160 - 29.925*b316 =G= -29.925;

e362..  - 0.95*x155 + x158 - 32.0625*b317 =G= -32.0625;

e363..  - 0.95*x156 + x159 - 44.175*b318 =G= -44.175;

e364..  - 0.95*x157 + x160 - 29.925*b319 =G= -29.925;

e365..  - 0.75*x155 + x161 - 32.0625*b308 =G= -32.0625;

e366..  - 0.75*x156 + x162 - 44.175*b309 =G= -44.175;

e367..  - 0.75*x157 + x163 - 29.925*b310 =G= -29.925;

e368..  - 0.95*x155 + x161 - 32.0625*b311 =G= -32.0625;

e369..  - 0.95*x156 + x162 - 44.175*b312 =G= -44.175;

e370..  - 0.95*x157 + x163 - 29.925*b313 =G= -29.925;

e371..  - 0.9*x155 + x161 - 32.0625*b314 =G= -32.0625;

e372..  - 0.9*x156 + x162 - 44.175*b315 =G= -44.175;

e373..  - 0.9*x157 + x163 - 29.925*b316 =G= -29.925;

e374..  - 0.95*x155 + x161 - 32.0625*b317 =G= -32.0625;

e375..  - 0.95*x156 + x162 - 44.175*b318 =G= -44.175;

e376..  - 0.95*x157 + x163 - 29.925*b319 =G= -29.925;

e377..  - 0.8*x152 + x179 + 143.4375*b320 =L= 143.4375;

e378..  - 0.8*x153 + x180 + 147.9*b321 =L= 147.9;

e379..  - 0.8*x154 + x181 + 133.025*b322 =L= 133.025;

e380..  - 0.85*x152 + x179 + 143.4375*b323 =L= 143.4375;

e381..  - 0.85*x153 + x180 + 147.9*b324 =L= 147.9;

e382..  - 0.85*x154 + x181 + 133.025*b325 =L= 133.025;

e383..  - 0.8*x152 + x179 + 143.4375*b326 =L= 143.4375;

e384..  - 0.8*x153 + x180 + 147.9*b327 =L= 147.9;

e385..  - 0.8*x154 + x181 + 133.025*b328 =L= 133.025;

e386..  - 0.85*x152 + x179 + 143.4375*b329 =L= 143.4375;

e387..  - 0.85*x153 + x180 + 147.9*b330 =L= 147.9;

e388..  - 0.85*x154 + x181 + 133.025*b331 =L= 133.025;

e389..  - 0.8*x152 + x179 - 28.6875*b320 =G= -28.6875;

e390..  - 0.8*x153 + x180 - 39.525*b321 =G= -39.525;

e391..  - 0.8*x154 + x181 - 26.775*b322 =G= -26.775;

e392..  - 0.85*x152 + x179 - 28.6875*b323 =G= -28.6875;

e393..  - 0.85*x153 + x180 - 39.525*b324 =G= -39.525;

e394..  - 0.85*x154 + x181 - 26.775*b325 =G= -26.775;

e395..  - 0.8*x152 + x179 - 28.6875*b326 =G= -28.6875;

e396..  - 0.8*x153 + x180 - 39.525*b327 =G= -39.525;

e397..  - 0.8*x154 + x181 - 26.775*b328 =G= -26.775;

e398..  - 0.85*x152 + x179 - 28.6875*b329 =G= -28.6875;

e399..  - 0.85*x153 + x180 - 39.525*b330 =G= -39.525;

e400..  - 0.85*x154 + x181 - 26.775*b331 =G= -26.775;

e401..  - 0.85*x176 + x185 + 178.192857142857*b332 =L= 178.192857142857;

e402..  - 0.85*x177 + x186 + 177.310714285714*b333 =L= 177.310714285714;

e403..  - 0.85*x178 + x187 + 169.941428571429*b334 =L= 169.941428571429;

e404..  - 0.95*x176 + x185 + 178.192857142857*b335 =L= 178.192857142857;

e405..  - 0.95*x177 + x186 + 177.310714285714*b336 =L= 177.310714285714;

e406..  - 0.95*x178 + x187 + 169.941428571429*b337 =L= 169.941428571429;

e407..  - 0.85*x176 + x185 + 178.192857142857*b338 =L= 178.192857142857;

e408..  - 0.85*x177 + x186 + 177.310714285714*b339 =L= 177.310714285714;

e409..  - 0.85*x178 + x187 + 169.941428571429*b340 =L= 169.941428571429;

e410..  - 0.95*x176 + x185 + 178.192857142857*b341 =L= 178.192857142857;

e411..  - 0.95*x177 + x186 + 177.310714285714*b342 =L= 177.310714285714;

e412..  - 0.95*x178 + x187 + 169.941428571429*b343 =L= 169.941428571429;

e413..  - 0.85*x176 + x185 - 128.25*b332 =G= -128.25;

e414..  - 0.85*x177 + x186 - 121.125*b333 =G= -121.125;

e415..  - 0.85*x178 + x187 - 118.75*b334 =G= -118.75;

e416..  - 0.95*x176 + x185 - 128.25*b335 =G= -128.25;

e417..  - 0.95*x177 + x186 - 121.125*b336 =G= -121.125;

e418..  - 0.95*x178 + x187 - 118.75*b337 =G= -118.75;

e419..  - 0.85*x176 + x185 - 128.25*b338 =G= -128.25;

e420..  - 0.85*x177 + x186 - 121.125*b339 =G= -121.125;

e421..  - 0.85*x178 + x187 - 118.75*b340 =G= -118.75;

e422..  - 0.95*x176 + x185 - 128.25*b341 =G= -128.25;

e423..  - 0.95*x177 + x186 - 121.125*b342 =G= -121.125;

e424..  - 0.95*x178 + x187 - 118.75*b343 =G= -118.75;

e425..  - 0.8*x194 + x197 + 52.5714285714286*b344 =L= 52.5714285714286;

e426..  - 0.8*x195 + x198 + 59.1428571428572*b345 =L= 59.1428571428572;

e427..  - 0.8*x196 + x199 + 53.8857142857143*b346 =L= 53.8857142857143;

e428..  - 0.92*x194 + x197 + 52.5714285714286*b347 =L= 52.5714285714286;

e429..  - 0.92*x195 + x198 + 59.1428571428572*b348 =L= 59.1428571428572;

e430..  - 0.92*x196 + x199 + 53.8857142857143*b349 =L= 53.8857142857143;

e431..  - 0.8*x194 + x197 + 52.5714285714286*b350 =L= 52.5714285714286;

e432..  - 0.8*x195 + x198 + 59.1428571428572*b351 =L= 59.1428571428572;

e433..  - 0.8*x196 + x199 + 53.8857142857143*b352 =L= 53.8857142857143;

e434..  - 0.92*x194 + x197 + 52.5714285714286*b353 =L= 52.5714285714286;

e435..  - 0.92*x195 + x198 + 59.1428571428572*b354 =L= 59.1428571428572;

e436..  - 0.92*x196 + x199 + 53.8857142857143*b355 =L= 53.8857142857143;

e437..  - 0.8*x194 + x197 - 52.5714285714286*b344 =G= -52.5714285714286;

e438..  - 0.8*x195 + x198 - 59.1428571428572*b345 =G= -59.1428571428572;

e439..  - 0.8*x196 + x199 - 53.8857142857143*b346 =G= -53.8857142857143;

e440..  - 0.92*x194 + x197 - 52.5714285714286*b347 =G= -52.5714285714286;

e441..  - 0.92*x195 + x198 - 59.1428571428572*b348 =G= -59.1428571428572;

e442..  - 0.92*x196 + x199 - 53.8857142857143*b349 =G= -53.8857142857143;

e443..  - 0.8*x194 + x197 - 52.5714285714286*b350 =G= -52.5714285714286;

e444..  - 0.8*x195 + x198 - 59.1428571428572*b351 =G= -59.1428571428572;

e445..  - 0.8*x196 + x199 - 53.8857142857143*b352 =G= -53.8857142857143;

e446..  - 0.92*x194 + x197 - 52.5714285714286*b353 =G= -52.5714285714286;

e447..  - 0.92*x195 + x198 - 59.1428571428572*b354 =G= -59.1428571428572;

e448..  - 0.92*x196 + x199 - 53.8857142857143*b355 =G= -53.8857142857143;

e449..    x5 + 45*b260 =L= 55;

e450..    x6 + 30*b261 =L= 40;

e451..    x7 + 30*b262 =L= 40;

e452..    x5 + 45*b263 =L= 55;

e453..    x6 + 30*b264 =L= 40;

e454..    x7 + 30*b265 =L= 40;

e455..    x5 + 5*b266 =L= 55;

e456..    x6 - 10*b267 =L= 40;

e457..    x7 - 10*b268 =L= 40;

e458..    x5 + 5*b269 =L= 55;

e459..    x6 - 10*b270 =L= 40;

e460..    x7 - 10*b271 =L= 40;

e461..    x8 + x20 + 106*b272 =L= 146;

e462..    x9 + x21 + 103*b273 =L= 143;

e463..    x10 + x22 + 92*b274 =L= 132;

e464..    x8 + x20 + 106*b275 =L= 146;

e465..    x9 + x21 + 103*b276 =L= 143;

e466..    x10 + x22 + 92*b277 =L= 132;

e467..    x8 + x20 + 86*b278 =L= 146;

e468..    x9 + x21 + 83*b279 =L= 143;

e469..    x10 + x22 + 72*b280 =L= 132;

e470..    x8 + x20 + 86*b281 =L= 146;

e471..    x9 + x21 + 83*b282 =L= 143;

e472..    x10 + x22 + 72*b283 =L= 132;

e473..    x32 + 30*b284 =L= 45;

e474..    x33 + 47*b285 =L= 62;

e475..    x34 + 27*b286 =L= 42;

e476..    x32 + 30*b287 =L= 45;

e477..    x33 + 47*b288 =L= 62;

e478..    x34 + 27*b289 =L= 42;

e479..    x32 + 20*b290 =L= 45;

e480..    x33 + 37*b291 =L= 62;

e481..    x34 + 17*b292 =L= 42;

e482..    x32 + 20*b293 =L= 45;

e483..    x33 + 37*b294 =L= 62;

e484..    x34 + 17*b295 =L= 42;

e485..    x41 + 30*b296 =L= 45;

e486..    x42 + 47*b297 =L= 62;

e487..    x43 + 27*b298 =L= 42;

e488..    x41 + 30*b299 =L= 45;

e489..    x42 + 47*b300 =L= 62;

e490..    x43 + 27*b301 =L= 42;

e491..    x41 + 25*b302 =L= 45;

e492..    x42 + 42*b303 =L= 62;

e493..    x43 + 22*b304 =L= 42;

e494..    x41 + 25*b305 =L= 45;

e495..    x42 + 42*b306 =L= 62;

e496..    x43 + 22*b307 =L= 42;

e497..    x50 + 35*b308 =L= 45;

e498..    x51 + 52*b309 =L= 62;

e499..    x52 + 32*b310 =L= 42;

e500..    x50 + 35*b311 =L= 45;

e501..    x51 + 52*b312 =L= 62;

e502..    x52 + 32*b313 =L= 42;

e503..    x50 + 25*b314 =L= 45;

e504..    x51 + 42*b315 =L= 62;

e505..    x52 + 22*b316 =L= 42;

e506..    x50 + 25*b317 =L= 45;

e507..    x51 + 42*b318 =L= 62;

e508..    x52 + 22*b319 =L= 42;

e509..    x47 + x68 + 79*b320 =L= 99;

e510..    x48 + x69 + 93*b321 =L= 113;

e511..    x49 + x70 + 72*b322 =L= 92;

e512..    x47 + x68 + 79*b323 =L= 99;

e513..    x48 + x69 + 93*b324 =L= 113;

e514..    x49 + x70 + 72*b325 =L= 92;

e515..    x47 + x68 + 44*b326 =L= 99;

e516..    x48 + x69 + 58*b327 =L= 113;

e517..    x49 + x70 + 37*b328 =L= 92;

e518..    x47 + x68 + 44*b329 =L= 99;

e519..    x48 + x69 + 58*b330 =L= 113;

e520..    x49 + x70 + 37*b331 =L= 92;

e521..    x71 + x92 + 69*b332 =L= 94;

e522..    x72 + x93 + 71*b333 =L= 96;

e523..    x73 + x94 + 66*b334 =L= 91;

e524..    x71 + x92 + 69*b335 =L= 94;

e525..    x72 + x93 + 71*b336 =L= 96;

e526..    x73 + x94 + 66*b337 =L= 91;

e527..    x71 + x92 + 44*b338 =L= 94;

e528..    x72 + x93 + 46*b339 =L= 96;

e529..    x73 + x94 + 41*b340 =L= 91;

e530..    x71 + x92 + 44*b341 =L= 94;

e531..    x72 + x93 + 46*b342 =L= 96;

e532..    x73 + x94 + 41*b343 =L= 91;

e533..    x89 + 25*b344 =L= 40;

e534..    x90 + 30*b345 =L= 45;

e535..    x91 + 26*b346 =L= 41;

e536..    x89 + 25*b347 =L= 40;

e537..    x90 + 30*b348 =L= 45;

e538..    x91 + 26*b349 =L= 41;

e539..    x89 + 5*b350 =L= 40;

e540..    x90 + 10*b351 =L= 45;

e541..    x91 + 6*b352 =L= 41;

e542..    x89 + 5*b353 =L= 40;

e543..    x90 + 10*b354 =L= 45;

e544..    x91 + 6*b355 =L= 41;

e545..    x236 + 46*b356 =L= 46;

e546..    x237 + 39*b357 =L= 39;

e547..    x238 + 23*b358 =L= 23;

e548..    x236 + 40*b359 =L= 46;

e549..    x237 + 35*b360 =L= 39;

e550..    x238 + 20*b361 =L= 23;

e551..    x236 + 6*b362 =L= 46;

e552..    x237 + 4*b363 =L= 39;

e553..    x238 + 3*b364 =L= 23;

e554..    x236 =L= 46;

e555..    x237 =L= 39;

e556..    x238 =L= 23;

e557..    x239 + 37*b368 =L= 37;

e558..    x240 + 29*b369 =L= 29;

e559..    x241 + 22*b370 =L= 22;

e560..    x239 + 30*b371 =L= 37;

e561..    x240 + 25*b372 =L= 29;

e562..    x241 + 18*b373 =L= 22;

e563..    x239 + 7*b374 =L= 37;

e564..    x240 + 4*b375 =L= 29;

e565..    x241 + 2*b376 =L= 22;

e566..    x239 =L= 37;

e567..    x240 =L= 29;

e568..    x241 =L= 22;

e569..    x242 + 22*b380 =L= 22;

e570..    x243 + 10*b381 =L= 10;

e571..    x244 + 5*b382 =L= 5;

e572..    x242 + 15*b383 =L= 22;

e573..    x243 + 5*b384 =L= 10;

e574..    x244 + 2*b385 =L= 5;

e575..    x242 + 7*b386 =L= 22;

e576..    x243 + 5*b387 =L= 10;

e577..    x244 + 3*b388 =L= 5;

e578..    x242 =L= 22;

e579..    x243 =L= 10;

e580..    x244 =L= 5;

e581..    x245 + 24*b392 =L= 24;

e582..    x246 + 16*b393 =L= 16;

e583..    x247 + 9*b394 =L= 9;

e584..    x245 + 13*b395 =L= 24;

e585..    x246 + 8*b396 =L= 16;

e586..    x247 + 3*b397 =L= 9;

e587..    x245 + 11*b398 =L= 24;

e588..    x246 + 8*b399 =L= 16;

e589..    x247 + 6*b400 =L= 9;

e590..    x245 =L= 24;

e591..    x246 =L= 16;

e592..    x247 =L= 9;

e593..    x248 + 23*b404 =L= 23;

e594..    x249 + 15*b405 =L= 15;

e595..    x250 + 9*b406 =L= 9;

e596..    x248 + 13*b407 =L= 23;

e597..    x249 + 8*b408 =L= 15;

e598..    x250 + 3*b409 =L= 9;

e599..    x248 + 10*b410 =L= 23;

e600..    x249 + 7*b411 =L= 15;

e601..    x250 + 6*b412 =L= 9;

e602..    x248 =L= 23;

e603..    x249 =L= 15;

e604..    x250 =L= 9;

e605..    x251 + 39*b416 =L= 39;

e606..    x252 + 39*b417 =L= 39;

e607..    x253 + 32*b418 =L= 32;

e608..    x251 + 30*b419 =L= 39;

e609..    x252 + 30*b420 =L= 39;

e610..    x253 + 25*b421 =L= 32;

e611..    x251 + 9*b422 =L= 39;

e612..    x252 + 9*b423 =L= 39;

e613..    x253 + 7*b424 =L= 32;

e614..    x251 =L= 39;

e615..    x252 =L= 39;

e616..    x253 =L= 32;

e617..    x254 + 28*b428 =L= 28;

e618..    x255 + 22*b429 =L= 22;

e619..    x256 + 17*b430 =L= 17;

e620..    x254 + 20*b431 =L= 28;

e621..    x255 + 15*b432 =L= 22;

e622..    x256 + 10*b433 =L= 17;

e623..    x254 + 8*b434 =L= 28;

e624..    x255 + 7*b435 =L= 22;

e625..    x256 + 7*b436 =L= 17;

e626..    x254 =L= 28;

e627..    x255 =L= 22;

e628..    x256 =L= 17;

e629..    x257 + 23*b440 =L= 23;

e630..    x258 + 16*b441 =L= 16;

e631..    x259 + 11*b442 =L= 11;

e632..    x257 + 15*b443 =L= 23;

e633..    x258 + 10*b444 =L= 16;

e634..    x259 + 6*b445 =L= 11;

e635..    x257 + 8*b446 =L= 23;

e636..    x258 + 6*b447 =L= 16;

e637..    x259 + 5*b448 =L= 11;

e638..    x257 =L= 23;

e639..    x258 =L= 16;

e640..    x259 =L= 11;

e641..    x236 =G= 0;

e642..    x237 =G= 0;

e643..    x238 =G= 0;

e644..    x236 - 6*b359 =G= 0;

e645..    x237 - 4*b360 =G= 0;

e646..    x238 - 3*b361 =G= 0;

e647..    x236 - 40*b362 =G= 0;

e648..    x237 - 35*b363 =G= 0;

e649..    x238 - 20*b364 =G= 0;

e650..    x236 - 46*b365 =G= 0;

e651..    x237 - 39*b366 =G= 0;

e652..    x238 - 23*b367 =G= 0;

e653..    x239 =G= 0;

e654..    x240 =G= 0;

e655..    x241 =G= 0;

e656..    x239 - 7*b371 =G= 0;

e657..    x240 - 4*b372 =G= 0;

e658..    x241 - 4*b373 =G= 0;

e659..    x239 - 30*b374 =G= 0;

e660..    x240 - 25*b375 =G= 0;

e661..    x241 - 20*b376 =G= 0;

e662..    x239 - 37*b377 =G= 0;

e663..    x240 - 29*b378 =G= 0;

e664..    x241 - 22*b379 =G= 0;

e665..    x242 =G= 0;

e666..    x243 =G= 0;

e667..    x244 =G= 0;

e668..    x242 - 7*b383 =G= 0;

e669..    x243 - 5*b384 =G= 0;

e670..    x244 - 3*b385 =G= 0;

e671..    x242 - 15*b386 =G= 0;

e672..    x243 - 5*b387 =G= 0;

e673..    x244 - 2*b388 =G= 0;

e674..    x242 - 22*b389 =G= 0;

e675..    x243 - 10*b390 =G= 0;

e676..    x244 - 5*b391 =G= 0;

e677..    x245 =G= 0;

e678..    x246 =G= 0;

e679..    x247 =G= 0;

e680..    x245 - 11*b395 =G= 0;

e681..    x246 - 8*b396 =G= 0;

e682..    x247 - 6*b397 =G= 0;

e683..    x245 - 13*b398 =G= 0;

e684..    x246 - 8*b399 =G= 0;

e685..    x247 - 3*b400 =G= 0;

e686..    x245 - 24*b401 =G= 0;

e687..    x246 - 16*b402 =G= 0;

e688..    x247 - 9*b403 =G= 0;

e689..    x248 =G= 0;

e690..    x249 =G= 0;

e691..    x250 =G= 0;

e692..    x248 - 10*b407 =G= 0;

e693..    x249 - 7*b408 =G= 0;

e694..    x250 - 6*b409 =G= 0;

e695..    x248 - 13*b410 =G= 0;

e696..    x249 - 8*b411 =G= 0;

e697..    x250 - 3*b412 =G= 0;

e698..    x248 - 23*b413 =G= 0;

e699..    x249 - 15*b414 =G= 0;

e700..    x250 - 9*b415 =G= 0;

e701..    x251 =G= 0;

e702..    x252 =G= 0;

e703..    x253 =G= 0;

e704..    x251 - 9*b419 =G= 0;

e705..    x252 - 9*b420 =G= 0;

e706..    x253 - 7*b421 =G= 0;

e707..    x251 - 30*b422 =G= 0;

e708..    x252 - 30*b423 =G= 0;

e709..    x253 - 25*b424 =G= 0;

e710..    x251 - 39*b425 =G= 0;

e711..    x252 - 39*b426 =G= 0;

e712..    x253 - 32*b427 =G= 0;

e713..    x254 =G= 0;

e714..    x255 =G= 0;

e715..    x256 =G= 0;

e716..    x254 - 8*b431 =G= 0;

e717..    x255 - 7*b432 =G= 0;

e718..    x256 - 7*b433 =G= 0;

e719..    x254 - 20*b434 =G= 0;

e720..    x255 - 15*b435 =G= 0;

e721..    x256 - 10*b436 =G= 0;

e722..    x254 - 28*b437 =G= 0;

e723..    x255 - 22*b438 =G= 0;

e724..    x256 - 17*b439 =G= 0;

e725..    x257 =G= 0;

e726..    x258 =G= 0;

e727..    x259 =G= 0;

e728..    x257 - 8*b443 =G= 0;

e729..    x258 - 6*b444 =G= 0;

e730..    x259 - 5*b445 =G= 0;

e731..    x257 - 15*b446 =G= 0;

e732..    x258 - 10*b447 =G= 0;

e733..    x259 - 6*b448 =G= 0;

e734..    x257 - 23*b449 =G= 0;

e735..    x258 - 16*b450 =G= 0;

e736..    x259 - 11*b451 =G= 0;

e737..    20*x2 + 20*x17 + 18*x29 + 16*x65 + 20*x86 + x236 + x239 + x242 + x245
        + x248 + x251 + x254 + x257 =L= 4000;

e738..    17*x3 + 21*x18 + 20*x30 + 19*x66 + 18*x87 + x237 + x240 + x243 + x246
        + x249 + x252 + x255 + x258 =L= 3800;

e739..    15*x4 + 19*x19 + 20*x31 + 17*x67 + 21*x88 + x238 + x241 + x244 + x247
        + x250 + x253 + x256 + x259 =L= 3600;

e740..    b260 + b263 + b266 + b269 =E= 1;

e741..    b261 + b264 + b267 + b270 =E= 1;

e742..    b262 + b265 + b268 + b271 =E= 1;

e743..    b272 + b275 + b278 + b281 =E= 1;

e744..    b273 + b276 + b279 + b282 =E= 1;

e745..    b274 + b277 + b280 + b283 =E= 1;

e746..    b284 + b287 + b290 + b293 =E= 1;

e747..    b285 + b288 + b291 + b294 =E= 1;

e748..    b286 + b289 + b292 + b295 =E= 1;

e749..    b296 + b299 + b302 + b305 =E= 1;

e750..    b297 + b300 + b303 + b306 =E= 1;

e751..    b298 + b301 + b304 + b307 =E= 1;

e752..    b308 + b311 + b314 + b317 =E= 1;

e753..    b309 + b312 + b315 + b318 =E= 1;

e754..    b310 + b313 + b316 + b319 =E= 1;

e755..    b320 + b323 + b326 + b329 =E= 1;

e756..    b321 + b324 + b327 + b330 =E= 1;

e757..    b322 + b325 + b328 + b331 =E= 1;

e758..    b332 + b335 + b338 + b341 =E= 1;

e759..    b333 + b336 + b339 + b342 =E= 1;

e760..    b334 + b337 + b340 + b343 =E= 1;

e761..    b344 + b347 + b350 + b353 =E= 1;

e762..    b345 + b348 + b351 + b354 =E= 1;

e763..    b346 + b349 + b352 + b355 =E= 1;

e764..    b356 + b359 + b362 + b365 =E= 1;

e765..    b357 + b360 + b363 + b366 =E= 1;

e766..    b358 + b361 + b364 + b367 =E= 1;

e767..    b368 + b371 + b374 + b377 =E= 1;

e768..    b369 + b372 + b375 + b378 =E= 1;

e769..    b370 + b373 + b376 + b379 =E= 1;

e770..    b380 + b383 + b386 + b389 =E= 1;

e771..    b381 + b384 + b387 + b390 =E= 1;

e772..    b382 + b385 + b388 + b391 =E= 1;

e773..    b392 + b395 + b398 + b401 =E= 1;

e774..    b393 + b396 + b399 + b402 =E= 1;

e775..    b394 + b397 + b400 + b403 =E= 1;

e776..    b404 + b407 + b410 + b413 =E= 1;

e777..    b405 + b408 + b411 + b414 =E= 1;

e778..    b406 + b409 + b412 + b415 =E= 1;

e779..    b416 + b419 + b422 + b425 =E= 1;

e780..    b417 + b420 + b423 + b426 =E= 1;

e781..    b418 + b421 + b424 + b427 =E= 1;

e782..    b428 + b431 + b434 + b437 =E= 1;

e783..    b429 + b432 + b435 + b438 =E= 1;

e784..    b430 + b433 + b436 + b439 =E= 1;

e785..    b440 + b443 + b446 + b449 =E= 1;

e786..    b441 + b444 + b447 + b450 =E= 1;

e787..    b442 + b445 + b448 + b451 =E= 1;

e788..    b263 - b264 =L= 0;

e789..    b263 - b265 =L= 0;

e790..    b264 - b265 =L= 0;

e791..    b266 - b267 =L= 0;

e792..    b266 - b268 =L= 0;

e793..    b267 - b268 =L= 0;

e794..    b269 - b270 =L= 0;

e795..    b269 - b271 =L= 0;

e796..    b270 - b271 =L= 0;

e797..    b275 - b276 =L= 0;

e798..    b275 - b277 =L= 0;

e799..    b276 - b277 =L= 0;

e800..    b278 - b279 =L= 0;

e801..    b278 - b280 =L= 0;

e802..    b279 - b280 =L= 0;

e803..    b281 - b282 =L= 0;

e804..    b281 - b283 =L= 0;

e805..    b282 - b283 =L= 0;

e806..    b287 - b288 =L= 0;

e807..    b287 - b289 =L= 0;

e808..    b288 - b289 =L= 0;

e809..    b290 - b291 =L= 0;

e810..    b290 - b292 =L= 0;

e811..    b291 - b292 =L= 0;

e812..    b293 - b294 =L= 0;

e813..    b293 - b295 =L= 0;

e814..    b294 - b295 =L= 0;

e815..    b299 - b300 =L= 0;

e816..    b299 - b301 =L= 0;

e817..    b300 - b301 =L= 0;

e818..    b302 - b303 =L= 0;

e819..    b302 - b304 =L= 0;

e820..    b303 - b304 =L= 0;

e821..    b305 - b306 =L= 0;

e822..    b305 - b307 =L= 0;

e823..    b306 - b307 =L= 0;

e824..    b311 - b312 =L= 0;

e825..    b311 - b313 =L= 0;

e826..    b312 - b313 =L= 0;

e827..    b314 - b315 =L= 0;

e828..    b314 - b316 =L= 0;

e829..    b315 - b316 =L= 0;

e830..    b317 - b318 =L= 0;

e831..    b317 - b319 =L= 0;

e832..    b318 - b319 =L= 0;

e833..    b323 - b324 =L= 0;

e834..    b323 - b325 =L= 0;

e835..    b324 - b325 =L= 0;

e836..    b326 - b327 =L= 0;

e837..    b326 - b328 =L= 0;

e838..    b327 - b328 =L= 0;

e839..    b329 - b330 =L= 0;

e840..    b329 - b331 =L= 0;

e841..    b330 - b331 =L= 0;

e842..    b335 - b336 =L= 0;

e843..    b335 - b337 =L= 0;

e844..    b336 - b337 =L= 0;

e845..    b338 - b339 =L= 0;

e846..    b338 - b340 =L= 0;

e847..    b339 - b340 =L= 0;

e848..    b341 - b342 =L= 0;

e849..    b341 - b343 =L= 0;

e850..    b342 - b343 =L= 0;

e851..    b347 - b348 =L= 0;

e852..    b347 - b349 =L= 0;

e853..    b348 - b349 =L= 0;

e854..    b350 - b351 =L= 0;

e855..    b350 - b352 =L= 0;

e856..    b351 - b352 =L= 0;

e857..    b353 - b354 =L= 0;

e858..    b353 - b355 =L= 0;

e859..    b354 - b355 =L= 0;

e860..  - b357 + b359 =L= 0;

e861..  - b358 + b359 =L= 0;

e862..  - b356 + b360 =L= 0;

e863..  - b358 + b360 =L= 0;

e864..  - b356 + b361 =L= 0;

e865..  - b357 + b361 =L= 0;

e866..  - b357 + b362 =L= 0;

e867..  - b358 + b362 =L= 0;

e868..  - b356 + b363 =L= 0;

e869..  - b358 + b363 =L= 0;

e870..  - b356 + b364 =L= 0;

e871..  - b357 + b364 =L= 0;

e872..  - b357 + b365 =L= 0;

e873..  - b358 + b365 =L= 0;

e874..  - b356 + b366 =L= 0;

e875..  - b358 + b366 =L= 0;

e876..  - b356 + b367 =L= 0;

e877..  - b357 + b367 =L= 0;

e878..  - b369 + b371 =L= 0;

e879..  - b370 + b371 =L= 0;

e880..  - b368 + b372 =L= 0;

e881..  - b370 + b372 =L= 0;

e882..  - b368 + b373 =L= 0;

e883..  - b369 + b373 =L= 0;

e884..  - b369 + b374 =L= 0;

e885..  - b370 + b374 =L= 0;

e886..  - b368 + b375 =L= 0;

e887..  - b370 + b375 =L= 0;

e888..  - b368 + b376 =L= 0;

e889..  - b369 + b376 =L= 0;

e890..  - b369 + b377 =L= 0;

e891..  - b370 + b377 =L= 0;

e892..  - b368 + b378 =L= 0;

e893..  - b370 + b378 =L= 0;

e894..  - b368 + b379 =L= 0;

e895..  - b369 + b379 =L= 0;

e896..  - b381 + b383 =L= 0;

e897..  - b382 + b383 =L= 0;

e898..  - b380 + b384 =L= 0;

e899..  - b382 + b384 =L= 0;

e900..  - b380 + b385 =L= 0;

e901..  - b381 + b385 =L= 0;

e902..  - b381 + b386 =L= 0;

e903..  - b382 + b386 =L= 0;

e904..  - b380 + b387 =L= 0;

e905..  - b382 + b387 =L= 0;

e906..  - b380 + b388 =L= 0;

e907..  - b381 + b388 =L= 0;

e908..  - b381 + b389 =L= 0;

e909..  - b382 + b389 =L= 0;

e910..  - b380 + b390 =L= 0;

e911..  - b382 + b390 =L= 0;

e912..  - b380 + b391 =L= 0;

e913..  - b381 + b391 =L= 0;

e914..  - b393 + b395 =L= 0;

e915..  - b394 + b395 =L= 0;

e916..  - b392 + b396 =L= 0;

e917..  - b394 + b396 =L= 0;

e918..  - b392 + b397 =L= 0;

e919..  - b393 + b397 =L= 0;

e920..  - b393 + b398 =L= 0;

e921..  - b394 + b398 =L= 0;

e922..  - b392 + b399 =L= 0;

e923..  - b394 + b399 =L= 0;

e924..  - b392 + b400 =L= 0;

e925..  - b393 + b400 =L= 0;

e926..  - b393 + b401 =L= 0;

e927..  - b394 + b401 =L= 0;

e928..  - b392 + b402 =L= 0;

e929..  - b394 + b402 =L= 0;

e930..  - b392 + b403 =L= 0;

e931..  - b393 + b403 =L= 0;

e932..  - b405 + b407 =L= 0;

e933..  - b406 + b407 =L= 0;

e934..  - b404 + b408 =L= 0;

e935..  - b406 + b408 =L= 0;

e936..  - b404 + b409 =L= 0;

e937..  - b405 + b409 =L= 0;

e938..  - b405 + b410 =L= 0;

e939..  - b406 + b410 =L= 0;

e940..  - b404 + b411 =L= 0;

e941..  - b406 + b411 =L= 0;

e942..  - b404 + b412 =L= 0;

e943..  - b405 + b412 =L= 0;

e944..  - b405 + b413 =L= 0;

e945..  - b406 + b413 =L= 0;

e946..  - b404 + b414 =L= 0;

e947..  - b406 + b414 =L= 0;

e948..  - b404 + b415 =L= 0;

e949..  - b405 + b415 =L= 0;

e950..  - b417 + b419 =L= 0;

e951..  - b418 + b419 =L= 0;

e952..  - b416 + b420 =L= 0;

e953..  - b418 + b420 =L= 0;

e954..  - b416 + b421 =L= 0;

e955..  - b417 + b421 =L= 0;

e956..  - b417 + b422 =L= 0;

e957..  - b418 + b422 =L= 0;

e958..  - b416 + b423 =L= 0;

e959..  - b418 + b423 =L= 0;

e960..  - b416 + b424 =L= 0;

e961..  - b417 + b424 =L= 0;

e962..  - b417 + b425 =L= 0;

e963..  - b418 + b425 =L= 0;

e964..  - b416 + b426 =L= 0;

e965..  - b418 + b426 =L= 0;

e966..  - b416 + b427 =L= 0;

e967..  - b417 + b427 =L= 0;

e968..  - b429 + b431 =L= 0;

e969..  - b430 + b431 =L= 0;

e970..  - b428 + b432 =L= 0;

e971..  - b430 + b432 =L= 0;

e972..  - b428 + b433 =L= 0;

e973..  - b429 + b433 =L= 0;

e974..  - b429 + b434 =L= 0;

e975..  - b430 + b434 =L= 0;

e976..  - b428 + b435 =L= 0;

e977..  - b430 + b435 =L= 0;

e978..  - b428 + b436 =L= 0;

e979..  - b429 + b436 =L= 0;

e980..  - b429 + b437 =L= 0;

e981..  - b430 + b437 =L= 0;

e982..  - b428 + b438 =L= 0;

e983..  - b430 + b438 =L= 0;

e984..  - b428 + b439 =L= 0;

e985..  - b429 + b439 =L= 0;

e986..  - b441 + b443 =L= 0;

e987..  - b442 + b443 =L= 0;

e988..  - b440 + b444 =L= 0;

e989..  - b442 + b444 =L= 0;

e990..  - b440 + b445 =L= 0;

e991..  - b441 + b445 =L= 0;

e992..  - b441 + b446 =L= 0;

e993..  - b442 + b446 =L= 0;

e994..  - b440 + b447 =L= 0;

e995..  - b442 + b447 =L= 0;

e996..  - b440 + b448 =L= 0;

e997..  - b441 + b448 =L= 0;

e998..  - b441 + b449 =L= 0;

e999..  - b442 + b449 =L= 0;

e1000..  - b440 + b450 =L= 0;

e1001..  - b442 + b450 =L= 0;

e1002..  - b440 + b451 =L= 0;

e1003..  - b441 + b451 =L= 0;

e1004..    b260 - b356 =L= 0;

e1005..    b261 - b357 =L= 0;

e1006..    b262 - b358 =L= 0;

e1007..    b272 - b368 =L= 0;

e1008..    b273 - b369 =L= 0;

e1009..    b274 - b370 =L= 0;

e1010..    b284 - b380 =L= 0;

e1011..    b285 - b381 =L= 0;

e1012..    b286 - b382 =L= 0;

e1013..    b296 - b392 =L= 0;

e1014..    b297 - b393 =L= 0;

e1015..    b298 - b394 =L= 0;

e1016..    b308 - b404 =L= 0;

e1017..    b309 - b405 =L= 0;

e1018..    b310 - b406 =L= 0;

e1019..    b320 - b416 =L= 0;

e1020..    b321 - b417 =L= 0;

e1021..    b322 - b418 =L= 0;

e1022..    b332 - b428 =L= 0;

e1023..    b333 - b429 =L= 0;

e1024..    b334 - b430 =L= 0;

e1025..    b344 - b440 =L= 0;

e1026..    b345 - b441 =L= 0;

e1027..    b346 - b442 =L= 0;

e1028..    b263 - b359 =L= 0;

e1029..  - b263 + b264 - b360 =L= 0;

e1030..  - b263 - b264 + b265 - b361 =L= 0;

e1031..    b266 - b362 =L= 0;

e1032..  - b266 + b267 - b363 =L= 0;

e1033..  - b266 - b267 + b268 - b364 =L= 0;

e1034..    b269 - b365 =L= 0;

e1035..  - b269 + b270 - b366 =L= 0;

e1036..  - b269 - b270 + b271 - b367 =L= 0;

e1037..    b275 - b371 =L= 0;

e1038..  - b275 + b276 - b372 =L= 0;

e1039..  - b275 - b276 + b277 - b373 =L= 0;

e1040..    b278 - b374 =L= 0;

e1041..  - b278 + b279 - b375 =L= 0;

e1042..  - b278 - b279 + b280 - b376 =L= 0;

e1043..    b281 - b377 =L= 0;

e1044..  - b281 + b282 - b378 =L= 0;

e1045..  - b281 - b282 + b283 - b379 =L= 0;

e1046..    b287 - b383 =L= 0;

e1047..  - b287 + b288 - b384 =L= 0;

e1048..  - b287 - b288 + b289 - b385 =L= 0;

e1049..    b290 - b386 =L= 0;

e1050..  - b290 + b291 - b387 =L= 0;

e1051..  - b290 - b291 + b292 - b388 =L= 0;

e1052..    b293 - b389 =L= 0;

e1053..  - b293 + b294 - b390 =L= 0;

e1054..  - b293 - b294 + b295 - b391 =L= 0;

e1055..    b299 - b395 =L= 0;

e1056..  - b299 + b300 - b396 =L= 0;

e1057..  - b299 - b300 + b301 - b397 =L= 0;

e1058..    b302 - b398 =L= 0;

e1059..  - b302 + b303 - b399 =L= 0;

e1060..  - b302 - b303 + b304 - b400 =L= 0;

e1061..    b305 - b401 =L= 0;

e1062..  - b305 + b306 - b402 =L= 0;

e1063..  - b305 - b306 + b307 - b403 =L= 0;

e1064..    b311 - b407 =L= 0;

e1065..  - b311 + b312 - b408 =L= 0;

e1066..  - b311 - b312 + b313 - b409 =L= 0;

e1067..    b314 - b410 =L= 0;

e1068..  - b314 + b315 - b411 =L= 0;

e1069..  - b314 - b315 + b316 - b412 =L= 0;

e1070..    b317 - b413 =L= 0;

e1071..  - b317 + b318 - b414 =L= 0;

e1072..  - b317 - b318 + b319 - b415 =L= 0;

e1073..    b323 - b419 =L= 0;

e1074..  - b323 + b324 - b420 =L= 0;

e1075..  - b323 - b324 + b325 - b421 =L= 0;

e1076..    b326 - b422 =L= 0;

e1077..  - b326 + b327 - b423 =L= 0;

e1078..  - b326 - b327 + b328 - b424 =L= 0;

e1079..    b329 - b425 =L= 0;

e1080..  - b329 + b330 - b426 =L= 0;

e1081..  - b329 - b330 + b331 - b427 =L= 0;

e1082..    b335 - b431 =L= 0;

e1083..  - b335 + b336 - b432 =L= 0;

e1084..  - b335 - b336 + b337 - b433 =L= 0;

e1085..    b338 - b434 =L= 0;

e1086..  - b338 + b339 - b435 =L= 0;

e1087..  - b338 - b339 + b340 - b436 =L= 0;

e1088..    b341 - b437 =L= 0;

e1089..  - b341 + b342 - b438 =L= 0;

e1090..  - b341 - b342 + b343 - b439 =L= 0;

e1091..    b347 - b443 =L= 0;

e1092..  - b347 + b348 - b444 =L= 0;

e1093..  - b347 - b348 + b349 - b445 =L= 0;

e1094..    b350 - b446 =L= 0;

e1095..  - b350 + b351 - b447 =L= 0;

e1096..  - b350 - b351 + b352 - b448 =L= 0;

e1097..    b353 - b449 =L= 0;

e1098..  - b353 + b354 - b450 =L= 0;

e1099..  - b353 - b354 + b355 - b451 =L= 0;

e1100..    x14 - x95 - x452 =E= 0;

e1101..    x15 - x96 - x453 =E= 0;

e1102..    x16 - x97 - x454 =E= 0;

e1103..    x26 - x98 - x485 =E= 0;

e1104..    x27 - x99 - x486 =E= 0;

e1105..    x28 - x100 - x487 =E= 0;

e1106..    x59 - x101 - x536 =E= 0;

e1107..    x60 - x102 - x537 =E= 0;

e1108..    x61 - x103 - x538 =E= 0;

e1109..    x62 - x104 - x539 =E= 0;

e1110..    x63 - x105 - x540 =E= 0;

e1111..    x64 - x106 - x541 =E= 0;

e1112..    x452 - x455 - x458 =E= 0;

e1113..    x453 - x456 - x459 =E= 0;

e1114..    x454 - x457 - x460 =E= 0;

e1115..  - x461 - x464 + x467 =E= 0;

e1116..  - x462 - x465 + x468 =E= 0;

e1117..  - x463 - x466 + x469 =E= 0;

e1118..    x467 - x470 - x473 =E= 0;

e1119..    x468 - x471 - x474 =E= 0;

e1120..    x469 - x472 - x475 =E= 0;

e1121..    x473 - x476 - x479 - x482 =E= 0;

e1122..    x474 - x477 - x480 - x483 =E= 0;

e1123..    x475 - x478 - x481 - x484 =E= 0;

e1124..    x488 - x497 - x500 =E= 0;

e1125..    x489 - x498 - x501 =E= 0;

e1126..    x490 - x499 - x502 =E= 0;

e1127..    x494 - x503 - x506 - x509 =E= 0;

e1128..    x495 - x504 - x507 - x510 =E= 0;

e1129..    x496 - x505 - x508 - x511 =E= 0;

e1130..    x518 - x530 - x533 =E= 0;

e1131..    x519 - x531 - x534 =E= 0;

e1132..    x520 - x532 - x535 =E= 0;

e1133..  - x521 - x539 + x542 =E= 0;

e1134..  - x522 - x540 + x543 =E= 0;

e1135..  - x523 - x541 + x544 =E= 0;

e1136..    x524 - x545 - x548 =E= 0;

e1137..    x525 - x546 - x549 =E= 0;

e1138..    x526 - x547 - x550 =E= 0;

e1139..    x527 - x551 - x554 - x557 =E= 0;

e1140..    x528 - x552 - x555 - x558 =E= 0;

e1141..    x529 - x553 - x556 - x559 =E= 0;

e1142..    x584 - x587 =E= 0;

e1143..    x585 - x588 =E= 0;

e1144..    x586 - x589 =E= 0;

e1145..    x587 - x590 - x593 =E= 0;

e1146..    x588 - x591 - x594 =E= 0;

e1147..    x589 - x592 - x595 =E= 0;

e1148..  - x596 - x599 + x602 =E= 0;

e1149..  - x597 - x600 + x603 =E= 0;

e1150..  - x598 - x601 + x604 =E= 0;

e1151..    x602 - x605 - x608 =E= 0;

e1152..    x603 - x606 - x609 =E= 0;

e1153..    x604 - x607 - x610 =E= 0;

e1154..    x608 - x611 - x614 - x617 =E= 0;

e1155..    x609 - x612 - x615 - x618 =E= 0;

e1156..    x610 - x613 - x616 - x619 =E= 0;

e1157..    x623 - x632 - x635 =E= 0;

e1158..    x624 - x633 - x636 =E= 0;

e1159..    x625 - x634 - x637 =E= 0;

e1160..    x629 - x638 - x641 - x644 =E= 0;

e1161..    x630 - x639 - x642 - x645 =E= 0;

e1162..    x631 - x640 - x643 - x646 =E= 0;

e1163.. -log(1 + x455) + x461 + b662 =L= 1;

e1164.. -log(1 + x456) + x462 + b663 =L= 1;

e1165.. -log(1 + x457) + x463 + b664 =L= 1;

e1166..    x455 - 40*b662 =L= 0;

e1167..    x456 - 40*b663 =L= 0;

e1168..    x457 - 40*b664 =L= 0;

e1169..    x461 - 3.71357206670431*b662 =L= 0;

e1170..    x462 - 3.71357206670431*b663 =L= 0;

e1171..    x463 - 3.71357206670431*b664 =L= 0;

e1172.. -1.2*log(1 + x458) + x464 + b665 =L= 1;

e1173.. -1.2*log(1 + x459) + x465 + b666 =L= 1;

e1174.. -1.2*log(1 + x460) + x466 + b667 =L= 1;

e1175..    x458 - 40*b665 =L= 0;

e1176..    x459 - 40*b666 =L= 0;

e1177..    x460 - 40*b667 =L= 0;

e1178..    x464 - 4.45628648004517*b665 =L= 0;

e1179..    x465 - 4.45628648004517*b666 =L= 0;

e1180..    x466 - 4.45628648004517*b667 =L= 0;

e1181..  - 0.75*x476 + x488 + b668 =L= 1;

e1182..  - 0.75*x477 + x489 + b669 =L= 1;

e1183..  - 0.75*x478 + x490 + b670 =L= 1;

e1184..  - 0.75*x476 + x488 - b668 =G= -1;

e1185..  - 0.75*x477 + x489 - b669 =G= -1;

e1186..  - 0.75*x478 + x490 - b670 =G= -1;

e1187..    x476 - 4.45628648004517*b668 =L= 0;

e1188..    x477 - 4.45628648004517*b669 =L= 0;

e1189..    x478 - 4.45628648004517*b670 =L= 0;

e1190..    x488 - 3.34221486003388*b668 =L= 0;

e1191..    x489 - 3.34221486003388*b669 =L= 0;

e1192..    x490 - 3.34221486003388*b670 =L= 0;

e1193.. -1.5*log(1 + x479) + x491 + b671 =L= 1;

e1194.. -1.5*log(1 + x480) + x492 + b672 =L= 1;

e1195.. -1.5*log(1 + x481) + x493 + b673 =L= 1;

e1196..    x479 - 4.45628648004517*b671 =L= 0;

e1197..    x480 - 4.45628648004517*b672 =L= 0;

e1198..    x481 - 4.45628648004517*b673 =L= 0;

e1199..    x491 - 2.54515263975353*b671 =L= 0;

e1200..    x492 - 2.54515263975353*b672 =L= 0;

e1201..    x493 - 2.54515263975353*b673 =L= 0;

e1202..  - x482 + x494 + b674 =L= 1;

e1203..  - x483 + x495 + b675 =L= 1;

e1204..  - x484 + x496 + b676 =L= 1;

e1205..  - x482 + x494 - b674 =G= -1;

e1206..  - x483 + x495 - b675 =G= -1;

e1207..  - x484 + x496 - b676 =G= -1;

e1208..  - 0.5*x485 + x494 + b674 =L= 1;

e1209..  - 0.5*x486 + x495 + b675 =L= 1;

e1210..  - 0.5*x487 + x496 + b676 =L= 1;

e1211..  - 0.5*x485 + x494 - b674 =G= -1;

e1212..  - 0.5*x486 + x495 - b675 =G= -1;

e1213..  - 0.5*x487 + x496 - b676 =G= -1;

e1214..    x482 - 4.45628648004517*b674 =L= 0;

e1215..    x483 - 4.45628648004517*b675 =L= 0;

e1216..    x484 - 4.45628648004517*b676 =L= 0;

e1217..    x485 - 30*b674 =L= 0;

e1218..    x486 - 30*b675 =L= 0;

e1219..    x487 - 30*b676 =L= 0;

e1220..    x494 - 15*b674 =L= 0;

e1221..    x495 - 15*b675 =L= 0;

e1222..    x496 - 15*b676 =L= 0;

e1223.. -1.25*log(1 + x497) + x512 + b677 =L= 1;

e1224.. -1.25*log(1 + x498) + x513 + b678 =L= 1;

e1225.. -1.25*log(1 + x499) + x514 + b679 =L= 1;

e1226..    x497 - 3.34221486003388*b677 =L= 0;

e1227..    x498 - 3.34221486003388*b678 =L= 0;

e1228..    x499 - 3.34221486003388*b679 =L= 0;

e1229..    x512 - 1.83548069293539*b677 =L= 0;

e1230..    x513 - 1.83548069293539*b678 =L= 0;

e1231..    x514 - 1.83548069293539*b679 =L= 0;

e1232.. -0.9*log(1 + x500) + x515 + b680 =L= 1;

e1233.. -0.9*log(1 + x501) + x516 + b681 =L= 1;

e1234.. -0.9*log(1 + x502) + x517 + b682 =L= 1;

e1235..    x500 - 3.34221486003388*b680 =L= 0;

e1236..    x501 - 3.34221486003388*b681 =L= 0;

e1237..    x502 - 3.34221486003388*b682 =L= 0;

e1238..    x515 - 1.32154609891348*b680 =L= 0;

e1239..    x516 - 1.32154609891348*b681 =L= 0;

e1240..    x517 - 1.32154609891348*b682 =L= 0;

e1241.. -log(1 + x491) + x518 + b683 =L= 1;

e1242.. -log(1 + x492) + x519 + b684 =L= 1;

e1243.. -log(1 + x493) + x520 + b685 =L= 1;

e1244..    x491 - 2.54515263975353*b683 =L= 0;

e1245..    x492 - 2.54515263975353*b684 =L= 0;

e1246..    x493 - 2.54515263975353*b685 =L= 0;

e1247..    x518 - 1.26558121681553*b683 =L= 0;

e1248..    x519 - 1.26558121681553*b684 =L= 0;

e1249..    x520 - 1.26558121681553*b685 =L= 0;

e1250..  - 0.9*x503 + x521 + b686 =L= 1;

e1251..  - 0.9*x504 + x522 + b687 =L= 1;

e1252..  - 0.9*x505 + x523 + b688 =L= 1;

e1253..  - 0.9*x503 + x521 - b686 =G= -1;

e1254..  - 0.9*x504 + x522 - b687 =G= -1;

e1255..  - 0.9*x505 + x523 - b688 =G= -1;

e1256..    x503 - 15*b686 =L= 0;

e1257..    x504 - 15*b687 =L= 0;

e1258..    x505 - 15*b688 =L= 0;

e1259..    x521 - 13.5*b686 =L= 0;

e1260..    x522 - 13.5*b687 =L= 0;

e1261..    x523 - 13.5*b688 =L= 0;

e1262..  - 0.6*x506 + x524 + b689 =L= 1;

e1263..  - 0.6*x507 + x525 + b690 =L= 1;

e1264..  - 0.6*x508 + x526 + b691 =L= 1;

e1265..  - 0.6*x506 + x524 - b689 =G= -1;

e1266..  - 0.6*x507 + x525 - b690 =G= -1;

e1267..  - 0.6*x508 + x526 - b691 =G= -1;

e1268..    x506 - 15*b689 =L= 0;

e1269..    x507 - 15*b690 =L= 0;

e1270..    x508 - 15*b691 =L= 0;

e1271..    x524 - 9*b689 =L= 0;

e1272..    x525 - 9*b690 =L= 0;

e1273..    x526 - 9*b691 =L= 0;

e1274.. -1.1*log(1 + x509) + x527 + b692 =L= 1;

e1275.. -1.1*log(1 + x510) + x528 + b693 =L= 1;

e1276.. -1.1*log(1 + x511) + x529 + b694 =L= 1;

e1277..    x509 - 15*b692 =L= 0;

e1278..    x510 - 15*b693 =L= 0;

e1279..    x511 - 15*b694 =L= 0;

e1280..    x527 - 3.04984759446376*b692 =L= 0;

e1281..    x528 - 3.04984759446376*b693 =L= 0;

e1282..    x529 - 3.04984759446376*b694 =L= 0;

e1283..  - 0.9*x512 + x560 + b695 =L= 1;

e1284..  - 0.9*x513 + x561 + b696 =L= 1;

e1285..  - 0.9*x514 + x562 + b697 =L= 1;

e1286..  - 0.9*x512 + x560 - b695 =G= -1;

e1287..  - 0.9*x513 + x561 - b696 =G= -1;

e1288..  - 0.9*x514 + x562 - b697 =G= -1;

e1289..  - x536 + x560 + b695 =L= 1;

e1290..  - x537 + x561 + b696 =L= 1;

e1291..  - x538 + x562 + b697 =L= 1;

e1292..  - x536 + x560 - b695 =G= -1;

e1293..  - x537 + x561 - b696 =G= -1;

e1294..  - x538 + x562 - b697 =G= -1;

e1295..    x512 - 1.83548069293539*b695 =L= 0;

e1296..    x513 - 1.83548069293539*b696 =L= 0;

e1297..    x514 - 1.83548069293539*b697 =L= 0;

e1298..    x536 - 20*b695 =L= 0;

e1299..    x537 - 20*b696 =L= 0;

e1300..    x538 - 20*b697 =L= 0;

e1301..    x560 - 20*b695 =L= 0;

e1302..    x561 - 20*b696 =L= 0;

e1303..    x562 - 20*b697 =L= 0;

e1304.. -log(1 + x515) + x563 + b698 =L= 1;

e1305.. -log(1 + x516) + x564 + b699 =L= 1;

e1306.. -log(1 + x517) + x565 + b700 =L= 1;

e1307..    x515 - 1.32154609891348*b698 =L= 0;

e1308..    x516 - 1.32154609891348*b699 =L= 0;

e1309..    x517 - 1.32154609891348*b700 =L= 0;

e1310..    x563 - 0.842233385663186*b698 =L= 0;

e1311..    x564 - 0.842233385663186*b699 =L= 0;

e1312..    x565 - 0.842233385663186*b700 =L= 0;

e1313.. -0.7*log(1 + x530) + x566 + b701 =L= 1;

e1314.. -0.7*log(1 + x531) + x567 + b702 =L= 1;

e1315.. -0.7*log(1 + x532) + x568 + b703 =L= 1;

e1316..    x530 - 1.26558121681553*b701 =L= 0;

e1317..    x531 - 1.26558121681553*b702 =L= 0;

e1318..    x532 - 1.26558121681553*b703 =L= 0;

e1319..    x566 - 0.572481933717686*b701 =L= 0;

e1320..    x567 - 0.572481933717686*b702 =L= 0;

e1321..    x568 - 0.572481933717686*b703 =L= 0;

e1322.. -0.65*log(1 + x533) + x569 + b704 =L= 1;

e1323.. -0.65*log(1 + x534) + x570 + b705 =L= 1;

e1324.. -0.65*log(1 + x535) + x571 + b706 =L= 1;

e1325.. -0.65*log(1 + x542) + x569 + b704 =L= 1;

e1326.. -0.65*log(1 + x543) + x570 + b705 =L= 1;

e1327.. -0.65*log(1 + x544) + x571 + b706 =L= 1;

e1328..    x533 - 1.26558121681553*b704 =L= 0;

e1329..    x534 - 1.26558121681553*b705 =L= 0;

e1330..    x535 - 1.26558121681553*b706 =L= 0;

e1331..    x542 - 33.5*b704 =L= 0;

e1332..    x543 - 33.5*b705 =L= 0;

e1333..    x544 - 33.5*b706 =L= 0;

e1334..    x569 - 2.30162356062425*b704 =L= 0;

e1335..    x570 - 2.30162356062425*b705 =L= 0;

e1336..    x571 - 2.30162356062425*b706 =L= 0;

e1337..  - x545 + x572 + b707 =L= 1;

e1338..  - x546 + x573 + b708 =L= 1;

e1339..  - x547 + x574 + b709 =L= 1;

e1340..  - x545 + x572 - b707 =G= -1;

e1341..  - x546 + x573 - b708 =G= -1;

e1342..  - x547 + x574 - b709 =G= -1;

e1343..    x545 - 9*b707 =L= 0;

e1344..    x546 - 9*b708 =L= 0;

e1345..    x547 - 9*b709 =L= 0;

e1346..    x572 - 9*b707 =L= 0;

e1347..    x573 - 9*b708 =L= 0;

e1348..    x574 - 9*b709 =L= 0;

e1349..  - x548 + x575 + b710 =L= 1;

e1350..  - x549 + x576 + b711 =L= 1;

e1351..  - x550 + x577 + b712 =L= 1;

e1352..  - x548 + x575 - b710 =G= -1;

e1353..  - x549 + x576 - b711 =G= -1;

e1354..  - x550 + x577 - b712 =G= -1;

e1355..    x548 - 9*b710 =L= 0;

e1356..    x549 - 9*b711 =L= 0;

e1357..    x550 - 9*b712 =L= 0;

e1358..    x575 - 9*b710 =L= 0;

e1359..    x576 - 9*b711 =L= 0;

e1360..    x577 - 9*b712 =L= 0;

e1361.. -0.75*log(1 + x551) + x578 + b713 =L= 1;

e1362.. -0.75*log(1 + x552) + x579 + b714 =L= 1;

e1363.. -0.75*log(1 + x553) + x580 + b715 =L= 1;

e1364..    x551 - 3.04984759446376*b713 =L= 0;

e1365..    x552 - 3.04984759446376*b714 =L= 0;

e1366..    x553 - 3.04984759446376*b715 =L= 0;

e1367..    x578 - 1.04900943706034*b713 =L= 0;

e1368..    x579 - 1.04900943706034*b714 =L= 0;

e1369..    x580 - 1.04900943706034*b715 =L= 0;

e1370.. -0.8*log(1 + x554) + x581 + b716 =L= 1;

e1371.. -0.8*log(1 + x555) + x582 + b717 =L= 1;

e1372.. -0.8*log(1 + x556) + x583 + b718 =L= 1;

e1373..    x554 - 3.04984759446376*b716 =L= 0;

e1374..    x555 - 3.04984759446376*b717 =L= 0;

e1375..    x556 - 3.04984759446376*b718 =L= 0;

e1376..    x581 - 1.11894339953103*b716 =L= 0;

e1377..    x582 - 1.11894339953103*b717 =L= 0;

e1378..    x583 - 1.11894339953103*b718 =L= 0;

e1379.. -0.85*log(1 + x557) + x584 + b719 =L= 1;

e1380.. -0.85*log(1 + x558) + x585 + b720 =L= 1;

e1381.. -0.85*log(1 + x559) + x586 + b721 =L= 1;

e1382..    x557 - 3.04984759446376*b719 =L= 0;

e1383..    x558 - 3.04984759446376*b720 =L= 0;

e1384..    x559 - 3.04984759446376*b721 =L= 0;

e1385..    x584 - 1.18887736200171*b719 =L= 0;

e1386..    x585 - 1.18887736200171*b720 =L= 0;

e1387..    x586 - 1.18887736200171*b721 =L= 0;

e1388.. -log(1 + x590) + x596 + b722 =L= 1;

e1389.. -log(1 + x591) + x597 + b723 =L= 1;

e1390.. -log(1 + x592) + x598 + b724 =L= 1;

e1391..    x590 - 1.18887736200171*b722 =L= 0;

e1392..    x591 - 1.18887736200171*b723 =L= 0;

e1393..    x592 - 1.18887736200171*b724 =L= 0;

e1394..    x596 - 0.78338879230327*b722 =L= 0;

e1395..    x597 - 0.78338879230327*b723 =L= 0;

e1396..    x598 - 0.78338879230327*b724 =L= 0;

e1397.. -1.2*log(1 + x593) + x599 + b725 =L= 1;

e1398.. -1.2*log(1 + x594) + x600 + b726 =L= 1;

e1399.. -1.2*log(1 + x595) + x601 + b727 =L= 1;

e1400..    x593 - 1.18887736200171*b725 =L= 0;

e1401..    x594 - 1.18887736200171*b726 =L= 0;

e1402..    x595 - 1.18887736200171*b727 =L= 0;

e1403..    x599 - 0.940066550763924*b725 =L= 0;

e1404..    x600 - 0.940066550763924*b726 =L= 0;

e1405..    x601 - 0.940066550763924*b727 =L= 0;

e1406..  - 0.75*x611 + x623 + b728 =L= 1;

e1407..  - 0.75*x612 + x624 + b729 =L= 1;

e1408..  - 0.75*x613 + x625 + b730 =L= 1;

e1409..  - 0.75*x611 + x623 - b728 =G= -1;

e1410..  - 0.75*x612 + x624 - b729 =G= -1;

e1411..  - 0.75*x613 + x625 - b730 =G= -1;

e1412..    x611 - 0.940066550763924*b728 =L= 0;

e1413..    x612 - 0.940066550763924*b729 =L= 0;

e1414..    x613 - 0.940066550763924*b730 =L= 0;

e1415..    x623 - 0.705049913072943*b728 =L= 0;

e1416..    x624 - 0.705049913072943*b729 =L= 0;

e1417..    x625 - 0.705049913072943*b730 =L= 0;

e1418.. -1.5*log(1 + x614) + x626 + b731 =L= 1;

e1419.. -1.5*log(1 + x615) + x627 + b732 =L= 1;

e1420.. -1.5*log(1 + x616) + x628 + b733 =L= 1;

e1421..    x614 - 0.940066550763924*b731 =L= 0;

e1422..    x615 - 0.940066550763924*b732 =L= 0;

e1423..    x616 - 0.940066550763924*b733 =L= 0;

e1424..    x626 - 0.994083415506506*b731 =L= 0;

e1425..    x627 - 0.994083415506506*b732 =L= 0;

e1426..    x628 - 0.994083415506506*b733 =L= 0;

e1427..  - x617 + x629 + b734 =L= 1;

e1428..  - x618 + x630 + b735 =L= 1;

e1429..  - x619 + x631 + b736 =L= 1;

e1430..  - x617 + x629 - b734 =G= -1;

e1431..  - x618 + x630 - b735 =G= -1;

e1432..  - x619 + x631 - b736 =G= -1;

e1433..  - 0.5*x620 + x629 + b734 =L= 1;

e1434..  - 0.5*x621 + x630 + b735 =L= 1;

e1435..  - 0.5*x622 + x631 + b736 =L= 1;

e1436..  - 0.5*x620 + x629 - b734 =G= -1;

e1437..  - 0.5*x621 + x630 - b735 =G= -1;

e1438..  - 0.5*x622 + x631 - b736 =G= -1;

e1439..    x617 - 0.940066550763924*b734 =L= 0;

e1440..    x618 - 0.940066550763924*b735 =L= 0;

e1441..    x619 - 0.940066550763924*b736 =L= 0;

e1442..    x620 - 30*b734 =L= 0;

e1443..    x621 - 30*b735 =L= 0;

e1444..    x622 - 30*b736 =L= 0;

e1445..    x629 - 15*b734 =L= 0;

e1446..    x630 - 15*b735 =L= 0;

e1447..    x631 - 15*b736 =L= 0;

e1448.. -1.25*log(1 + x632) + x647 + b737 =L= 1;

e1449.. -1.25*log(1 + x633) + x648 + b738 =L= 1;

e1450.. -1.25*log(1 + x634) + x649 + b739 =L= 1;

e1451..    x632 - 0.705049913072943*b737 =L= 0;

e1452..    x633 - 0.705049913072943*b738 =L= 0;

e1453..    x634 - 0.705049913072943*b739 =L= 0;

e1454..    x647 - 0.666992981045719*b737 =L= 0;

e1455..    x648 - 0.666992981045719*b738 =L= 0;

e1456..    x649 - 0.666992981045719*b739 =L= 0;

e1457.. -0.9*log(1 + x635) + x650 + b740 =L= 1;

e1458.. -0.9*log(1 + x636) + x651 + b741 =L= 1;

e1459.. -0.9*log(1 + x637) + x652 + b742 =L= 1;

e1460..    x635 - 0.705049913072943*b740 =L= 0;

e1461..    x636 - 0.705049913072943*b741 =L= 0;

e1462..    x637 - 0.705049913072943*b742 =L= 0;

e1463..    x650 - 0.480234946352917*b740 =L= 0;

e1464..    x651 - 0.480234946352917*b741 =L= 0;

e1465..    x652 - 0.480234946352917*b742 =L= 0;

e1466.. -log(1 + x626) + x653 + b743 =L= 1;

e1467.. -log(1 + x627) + x654 + b744 =L= 1;

e1468.. -log(1 + x628) + x655 + b745 =L= 1;

e1469..    x626 - 0.994083415506506*b743 =L= 0;

e1470..    x627 - 0.994083415506506*b744 =L= 0;

e1471..    x628 - 0.994083415506506*b745 =L= 0;

e1472..    x653 - 0.690184503917672*b743 =L= 0;

e1473..    x654 - 0.690184503917672*b744 =L= 0;

e1474..    x655 - 0.690184503917672*b745 =L= 0;

e1475..  - 0.9*x638 + x656 + b746 =L= 1;

e1476..  - 0.9*x639 + x657 + b747 =L= 1;

e1477..  - 0.9*x640 + x658 + b748 =L= 1;

e1478..  - 0.9*x638 + x656 - b746 =G= -1;

e1479..  - 0.9*x639 + x657 - b747 =G= -1;

e1480..  - 0.9*x640 + x658 - b748 =G= -1;

e1481..    x638 - 15*b746 =L= 0;

e1482..    x639 - 15*b747 =L= 0;

e1483..    x640 - 15*b748 =L= 0;

e1484..    x656 - 13.5*b746 =L= 0;

e1485..    x657 - 13.5*b747 =L= 0;

e1486..    x658 - 13.5*b748 =L= 0;

e1487..  - 0.6*x641 + x659 + b749 =L= 1;

e1488..  - 0.6*x642 + x660 + b750 =L= 1;

e1489..  - 0.6*x643 + x661 + b751 =L= 1;

e1490..  - 0.6*x641 + x659 - b749 =G= -1;

e1491..  - 0.6*x642 + x660 - b750 =G= -1;

e1492..  - 0.6*x643 + x661 - b751 =G= -1;

e1493..    x641 - 15*b749 =L= 0;

e1494..    x642 - 15*b750 =L= 0;

e1495..    x643 - 15*b751 =L= 0;

e1496..    x659 - 9*b749 =L= 0;

e1497..    x660 - 9*b750 =L= 0;

e1498..    x661 - 9*b751 =L= 0;

e1499..    5*b752 + x842 =L= 0;

e1500..    4*b753 + x843 =L= 0;

e1501..    6*b754 + x844 =L= 0;

e1502..    8*b755 + x845 =L= 0;

e1503..    7*b756 + x846 =L= 0;

e1504..    6*b757 + x847 =L= 0;

e1505..    6*b758 + x848 =L= 0;

e1506..    9*b759 + x849 =L= 0;

e1507..    4*b760 + x850 =L= 0;

e1508..    10*b761 + x851 =L= 0;

e1509..    9*b762 + x852 =L= 0;

e1510..    5*b763 + x853 =L= 0;

e1511..    6*b764 + x854 =L= 0;

e1512..    10*b765 + x855 =L= 0;

e1513..    6*b766 + x856 =L= 0;

e1514..    7*b767 + x857 =L= 0;

e1515..    7*b768 + x858 =L= 0;

e1516..    4*b769 + x859 =L= 0;

e1517..    4*b770 + x860 =L= 0;

e1518..    3*b771 + x861 =L= 0;

e1519..    2*b772 + x862 =L= 0;

e1520..    5*b773 + x863 =L= 0;

e1521..    6*b774 + x864 =L= 0;

e1522..    7*b775 + x865 =L= 0;

e1523..    2*b776 + x866 =L= 0;

e1524..    5*b777 + x867 =L= 0;

e1525..    2*b778 + x868 =L= 0;

e1526..    4*b779 + x869 =L= 0;

e1527..    7*b780 + x870 =L= 0;

e1528..    4*b781 + x871 =L= 0;

e1529..    3*b782 + x872 =L= 0;

e1530..    9*b783 + x873 =L= 0;

e1531..    3*b784 + x874 =L= 0;

e1532..    7*b785 + x875 =L= 0;

e1533..    2*b786 + x876 =L= 0;

e1534..    9*b787 + x877 =L= 0;

e1535..    3*b788 + x878 =L= 0;

e1536..    b789 + x879 =L= 0;

e1537..    9*b790 + x880 =L= 0;

e1538..    2*b791 + x881 =L= 0;

e1539..    6*b792 + x882 =L= 0;

e1540..    3*b793 + x883 =L= 0;

e1541..    4*b794 + x884 =L= 0;

e1542..    8*b795 + x885 =L= 0;

e1543..    b796 + x886 =L= 0;

e1544..    2*b797 + x887 =L= 0;

e1545..    5*b798 + x888 =L= 0;

e1546..    2*b799 + x889 =L= 0;

e1547..    3*b800 + x890 =L= 0;

e1548..    4*b801 + x891 =L= 0;

e1549..    3*b802 + x892 =L= 0;

e1550..    5*b803 + x893 =L= 0;

e1551..    7*b804 + x894 =L= 0;

e1552..    6*b805 + x895 =L= 0;

e1553..    2*b806 + x896 =L= 0;

e1554..    8*b807 + x897 =L= 0;

e1555..    4*b808 + x898 =L= 0;

e1556..    b809 + x899 =L= 0;

e1557..    4*b810 + x900 =L= 0;

e1558..    b811 + x901 =L= 0;

e1559..    2*b812 + x902 =L= 0;

e1560..    5*b813 + x903 =L= 0;

e1561..    2*b814 + x904 =L= 0;

e1562..    9*b815 + x905 =L= 0;

e1563..    2*b816 + x906 =L= 0;

e1564..    9*b817 + x907 =L= 0;

e1565..    5*b818 + x908 =L= 0;

e1566..    8*b819 + x909 =L= 0;

e1567..    4*b820 + x910 =L= 0;

e1568..    2*b821 + x911 =L= 0;

e1569..    3*b822 + x912 =L= 0;

e1570..    8*b823 + x913 =L= 0;

e1571..    10*b824 + x914 =L= 0;

e1572..    6*b825 + x915 =L= 0;

e1573..    3*b826 + x916 =L= 0;

e1574..    4*b827 + x917 =L= 0;

e1575..    8*b828 + x918 =L= 0;

e1576..    7*b829 + x919 =L= 0;

e1577..    7*b830 + x920 =L= 0;

e1578..    3*b831 + x921 =L= 0;

e1579..    9*b832 + x922 =L= 0;

e1580..    4*b833 + x923 =L= 0;

e1581..    8*b834 + x924 =L= 0;

e1582..    6*b835 + x925 =L= 0;

e1583..    2*b836 + x926 =L= 0;

e1584..    b837 + x927 =L= 0;

e1585..    3*b838 + x928 =L= 0;

e1586..    8*b839 + x929 =L= 0;

e1587..    3*b840 + x930 =L= 0;

e1588..    4*b841 + x931 =L= 0;

e1589..    5*b752 + x842 =G= 0;

e1590..    4*b753 + x843 =G= 0;

e1591..    6*b754 + x844 =G= 0;

e1592..    8*b755 + x845 =G= 0;

e1593..    7*b756 + x846 =G= 0;

e1594..    6*b757 + x847 =G= 0;

e1595..    6*b758 + x848 =G= 0;

e1596..    9*b759 + x849 =G= 0;

e1597..    4*b760 + x850 =G= 0;

e1598..    10*b761 + x851 =G= 0;

e1599..    9*b762 + x852 =G= 0;

e1600..    5*b763 + x853 =G= 0;

e1601..    6*b764 + x854 =G= 0;

e1602..    10*b765 + x855 =G= 0;

e1603..    6*b766 + x856 =G= 0;

e1604..    7*b767 + x857 =G= 0;

e1605..    7*b768 + x858 =G= 0;

e1606..    4*b769 + x859 =G= 0;

e1607..    4*b770 + x860 =G= 0;

e1608..    3*b771 + x861 =G= 0;

e1609..    2*b772 + x862 =G= 0;

e1610..    5*b773 + x863 =G= 0;

e1611..    6*b774 + x864 =G= 0;

e1612..    7*b775 + x865 =G= 0;

e1613..    2*b776 + x866 =G= 0;

e1614..    5*b777 + x867 =G= 0;

e1615..    2*b778 + x868 =G= 0;

e1616..    4*b779 + x869 =G= 0;

e1617..    7*b780 + x870 =G= 0;

e1618..    4*b781 + x871 =G= 0;

e1619..    3*b782 + x872 =G= 0;

e1620..    9*b783 + x873 =G= 0;

e1621..    3*b784 + x874 =G= 0;

e1622..    7*b785 + x875 =G= 0;

e1623..    2*b786 + x876 =G= 0;

e1624..    9*b787 + x877 =G= 0;

e1625..    3*b788 + x878 =G= 0;

e1626..    b789 + x879 =G= 0;

e1627..    9*b790 + x880 =G= 0;

e1628..    2*b791 + x881 =G= 0;

e1629..    6*b792 + x882 =G= 0;

e1630..    3*b793 + x883 =G= 0;

e1631..    4*b794 + x884 =G= 0;

e1632..    8*b795 + x885 =G= 0;

e1633..    b796 + x886 =G= 0;

e1634..    2*b797 + x887 =G= 0;

e1635..    5*b798 + x888 =G= 0;

e1636..    2*b799 + x889 =G= 0;

e1637..    3*b800 + x890 =G= 0;

e1638..    4*b801 + x891 =G= 0;

e1639..    3*b802 + x892 =G= 0;

e1640..    5*b803 + x893 =G= 0;

e1641..    7*b804 + x894 =G= 0;

e1642..    6*b805 + x895 =G= 0;

e1643..    2*b806 + x896 =G= 0;

e1644..    8*b807 + x897 =G= 0;

e1645..    4*b808 + x898 =G= 0;

e1646..    b809 + x899 =G= 0;

e1647..    4*b810 + x900 =G= 0;

e1648..    b811 + x901 =G= 0;

e1649..    2*b812 + x902 =G= 0;

e1650..    5*b813 + x903 =G= 0;

e1651..    2*b814 + x904 =G= 0;

e1652..    9*b815 + x905 =G= 0;

e1653..    2*b816 + x906 =G= 0;

e1654..    9*b817 + x907 =G= 0;

e1655..    5*b818 + x908 =G= 0;

e1656..    8*b819 + x909 =G= 0;

e1657..    4*b820 + x910 =G= 0;

e1658..    2*b821 + x911 =G= 0;

e1659..    3*b822 + x912 =G= 0;

e1660..    8*b823 + x913 =G= 0;

e1661..    10*b824 + x914 =G= 0;

e1662..    6*b825 + x915 =G= 0;

e1663..    3*b826 + x916 =G= 0;

e1664..    4*b827 + x917 =G= 0;

e1665..    8*b828 + x918 =G= 0;

e1666..    7*b829 + x919 =G= 0;

e1667..    7*b830 + x920 =G= 0;

e1668..    3*b831 + x921 =G= 0;

e1669..    9*b832 + x922 =G= 0;

e1670..    4*b833 + x923 =G= 0;

e1671..    8*b834 + x924 =G= 0;

e1672..    6*b835 + x925 =G= 0;

e1673..    2*b836 + x926 =G= 0;

e1674..    b837 + x927 =G= 0;

e1675..    3*b838 + x928 =G= 0;

e1676..    8*b839 + x929 =G= 0;

e1677..    3*b840 + x930 =G= 0;

e1678..    4*b841 + x931 =G= 0;

e1679..    b662 - b663 =L= 0;

e1680..    b662 - b664 =L= 0;

e1681..    b663 - b664 =L= 0;

e1682..    b665 - b666 =L= 0;

e1683..    b665 - b667 =L= 0;

e1684..    b666 - b667 =L= 0;

e1685..    b668 - b669 =L= 0;

e1686..    b668 - b670 =L= 0;

e1687..    b669 - b670 =L= 0;

e1688..    b671 - b672 =L= 0;

e1689..    b671 - b673 =L= 0;

e1690..    b672 - b673 =L= 0;

e1691..    b674 - b675 =L= 0;

e1692..    b674 - b676 =L= 0;

e1693..    b675 - b676 =L= 0;

e1694..    b677 - b678 =L= 0;

e1695..    b677 - b679 =L= 0;

e1696..    b678 - b679 =L= 0;

e1697..    b680 - b681 =L= 0;

e1698..    b680 - b682 =L= 0;

e1699..    b681 - b682 =L= 0;

e1700..    b683 - b684 =L= 0;

e1701..    b683 - b685 =L= 0;

e1702..    b684 - b685 =L= 0;

e1703..    b686 - b687 =L= 0;

e1704..    b686 - b688 =L= 0;

e1705..    b687 - b688 =L= 0;

e1706..    b689 - b690 =L= 0;

e1707..    b689 - b691 =L= 0;

e1708..    b690 - b691 =L= 0;

e1709..    b692 - b693 =L= 0;

e1710..    b692 - b694 =L= 0;

e1711..    b693 - b694 =L= 0;

e1712..    b695 - b696 =L= 0;

e1713..    b695 - b697 =L= 0;

e1714..    b696 - b697 =L= 0;

e1715..    b698 - b699 =L= 0;

e1716..    b698 - b700 =L= 0;

e1717..    b699 - b700 =L= 0;

e1718..    b701 - b702 =L= 0;

e1719..    b701 - b703 =L= 0;

e1720..    b702 - b703 =L= 0;

e1721..    b704 - b705 =L= 0;

e1722..    b704 - b706 =L= 0;

e1723..    b705 - b706 =L= 0;

e1724..    b707 - b708 =L= 0;

e1725..    b707 - b709 =L= 0;

e1726..    b708 - b709 =L= 0;

e1727..    b710 - b711 =L= 0;

e1728..    b710 - b712 =L= 0;

e1729..    b711 - b712 =L= 0;

e1730..    b713 - b714 =L= 0;

e1731..    b713 - b715 =L= 0;

e1732..    b714 - b715 =L= 0;

e1733..    b716 - b717 =L= 0;

e1734..    b716 - b718 =L= 0;

e1735..    b717 - b718 =L= 0;

e1736..    b719 - b720 =L= 0;

e1737..    b719 - b721 =L= 0;

e1738..    b720 - b721 =L= 0;

e1739..    b722 - b723 =L= 0;

e1740..    b722 - b724 =L= 0;

e1741..    b723 - b724 =L= 0;

e1742..    b725 - b726 =L= 0;

e1743..    b725 - b727 =L= 0;

e1744..    b726 - b727 =L= 0;

e1745..    b728 - b729 =L= 0;

e1746..    b728 - b730 =L= 0;

e1747..    b729 - b730 =L= 0;

e1748..    b731 - b732 =L= 0;

e1749..    b731 - b733 =L= 0;

e1750..    b732 - b733 =L= 0;

e1751..    b734 - b735 =L= 0;

e1752..    b734 - b736 =L= 0;

e1753..    b735 - b736 =L= 0;

e1754..    b737 - b738 =L= 0;

e1755..    b737 - b739 =L= 0;

e1756..    b738 - b739 =L= 0;

e1757..    b740 - b741 =L= 0;

e1758..    b740 - b742 =L= 0;

e1759..    b741 - b742 =L= 0;

e1760..    b743 - b744 =L= 0;

e1761..    b743 - b745 =L= 0;

e1762..    b744 - b745 =L= 0;

e1763..    b746 - b747 =L= 0;

e1764..    b746 - b748 =L= 0;

e1765..    b747 - b748 =L= 0;

e1766..    b749 - b750 =L= 0;

e1767..    b749 - b751 =L= 0;

e1768..    b750 - b751 =L= 0;

e1769..    b752 + b753 =L= 1;

e1770..    b752 + b754 =L= 1;

e1771..    b752 + b753 =L= 1;

e1772..    b753 + b754 =L= 1;

e1773..    b752 + b754 =L= 1;

e1774..    b753 + b754 =L= 1;

e1775..    b755 + b756 =L= 1;

e1776..    b755 + b757 =L= 1;

e1777..    b755 + b756 =L= 1;

e1778..    b756 + b757 =L= 1;

e1779..    b755 + b757 =L= 1;

e1780..    b756 + b757 =L= 1;

e1781..    b758 + b759 =L= 1;

e1782..    b758 + b760 =L= 1;

e1783..    b758 + b759 =L= 1;

e1784..    b759 + b760 =L= 1;

e1785..    b758 + b760 =L= 1;

e1786..    b759 + b760 =L= 1;

e1787..    b761 + b762 =L= 1;

e1788..    b761 + b763 =L= 1;

e1789..    b761 + b762 =L= 1;

e1790..    b762 + b763 =L= 1;

e1791..    b761 + b763 =L= 1;

e1792..    b762 + b763 =L= 1;

e1793..    b764 + b765 =L= 1;

e1794..    b764 + b766 =L= 1;

e1795..    b764 + b765 =L= 1;

e1796..    b765 + b766 =L= 1;

e1797..    b764 + b766 =L= 1;

e1798..    b765 + b766 =L= 1;

e1799..    b767 + b768 =L= 1;

e1800..    b767 + b769 =L= 1;

e1801..    b767 + b768 =L= 1;

e1802..    b768 + b769 =L= 1;

e1803..    b767 + b769 =L= 1;

e1804..    b768 + b769 =L= 1;

e1805..    b770 + b771 =L= 1;

e1806..    b770 + b772 =L= 1;

e1807..    b770 + b771 =L= 1;

e1808..    b771 + b772 =L= 1;

e1809..    b770 + b772 =L= 1;

e1810..    b771 + b772 =L= 1;

e1811..    b773 + b774 =L= 1;

e1812..    b773 + b775 =L= 1;

e1813..    b773 + b774 =L= 1;

e1814..    b774 + b775 =L= 1;

e1815..    b773 + b775 =L= 1;

e1816..    b774 + b775 =L= 1;

e1817..    b776 + b777 =L= 1;

e1818..    b776 + b778 =L= 1;

e1819..    b776 + b777 =L= 1;

e1820..    b777 + b778 =L= 1;

e1821..    b776 + b778 =L= 1;

e1822..    b777 + b778 =L= 1;

e1823..    b779 + b780 =L= 1;

e1824..    b779 + b781 =L= 1;

e1825..    b779 + b780 =L= 1;

e1826..    b780 + b781 =L= 1;

e1827..    b779 + b781 =L= 1;

e1828..    b780 + b781 =L= 1;

e1829..    b782 + b783 =L= 1;

e1830..    b782 + b784 =L= 1;

e1831..    b782 + b783 =L= 1;

e1832..    b783 + b784 =L= 1;

e1833..    b782 + b784 =L= 1;

e1834..    b783 + b784 =L= 1;

e1835..    b785 + b786 =L= 1;

e1836..    b785 + b787 =L= 1;

e1837..    b785 + b786 =L= 1;

e1838..    b786 + b787 =L= 1;

e1839..    b785 + b787 =L= 1;

e1840..    b786 + b787 =L= 1;

e1841..    b788 + b789 =L= 1;

e1842..    b788 + b790 =L= 1;

e1843..    b788 + b789 =L= 1;

e1844..    b789 + b790 =L= 1;

e1845..    b788 + b790 =L= 1;

e1846..    b789 + b790 =L= 1;

e1847..    b791 + b792 =L= 1;

e1848..    b791 + b793 =L= 1;

e1849..    b791 + b792 =L= 1;

e1850..    b792 + b793 =L= 1;

e1851..    b791 + b793 =L= 1;

e1852..    b792 + b793 =L= 1;

e1853..    b794 + b795 =L= 1;

e1854..    b794 + b796 =L= 1;

e1855..    b794 + b795 =L= 1;

e1856..    b795 + b796 =L= 1;

e1857..    b794 + b796 =L= 1;

e1858..    b795 + b796 =L= 1;

e1859..    b797 + b798 =L= 1;

e1860..    b797 + b799 =L= 1;

e1861..    b797 + b798 =L= 1;

e1862..    b798 + b799 =L= 1;

e1863..    b797 + b799 =L= 1;

e1864..    b798 + b799 =L= 1;

e1865..    b800 + b801 =L= 1;

e1866..    b800 + b802 =L= 1;

e1867..    b800 + b801 =L= 1;

e1868..    b801 + b802 =L= 1;

e1869..    b800 + b802 =L= 1;

e1870..    b801 + b802 =L= 1;

e1871..    b803 + b804 =L= 1;

e1872..    b803 + b805 =L= 1;

e1873..    b803 + b804 =L= 1;

e1874..    b804 + b805 =L= 1;

e1875..    b803 + b805 =L= 1;

e1876..    b804 + b805 =L= 1;

e1877..    b806 + b807 =L= 1;

e1878..    b806 + b808 =L= 1;

e1879..    b806 + b807 =L= 1;

e1880..    b807 + b808 =L= 1;

e1881..    b806 + b808 =L= 1;

e1882..    b807 + b808 =L= 1;

e1883..    b809 + b810 =L= 1;

e1884..    b809 + b811 =L= 1;

e1885..    b809 + b810 =L= 1;

e1886..    b810 + b811 =L= 1;

e1887..    b809 + b811 =L= 1;

e1888..    b810 + b811 =L= 1;

e1889..    b812 + b813 =L= 1;

e1890..    b812 + b814 =L= 1;

e1891..    b812 + b813 =L= 1;

e1892..    b813 + b814 =L= 1;

e1893..    b812 + b814 =L= 1;

e1894..    b813 + b814 =L= 1;

e1895..    b815 + b816 =L= 1;

e1896..    b815 + b817 =L= 1;

e1897..    b815 + b816 =L= 1;

e1898..    b816 + b817 =L= 1;

e1899..    b815 + b817 =L= 1;

e1900..    b816 + b817 =L= 1;

e1901..    b818 + b819 =L= 1;

e1902..    b818 + b820 =L= 1;

e1903..    b818 + b819 =L= 1;

e1904..    b819 + b820 =L= 1;

e1905..    b818 + b820 =L= 1;

e1906..    b819 + b820 =L= 1;

e1907..    b821 + b822 =L= 1;

e1908..    b821 + b823 =L= 1;

e1909..    b821 + b822 =L= 1;

e1910..    b822 + b823 =L= 1;

e1911..    b821 + b823 =L= 1;

e1912..    b822 + b823 =L= 1;

e1913..    b824 + b825 =L= 1;

e1914..    b824 + b826 =L= 1;

e1915..    b824 + b825 =L= 1;

e1916..    b825 + b826 =L= 1;

e1917..    b824 + b826 =L= 1;

e1918..    b825 + b826 =L= 1;

e1919..    b827 + b828 =L= 1;

e1920..    b827 + b829 =L= 1;

e1921..    b827 + b828 =L= 1;

e1922..    b828 + b829 =L= 1;

e1923..    b827 + b829 =L= 1;

e1924..    b828 + b829 =L= 1;

e1925..    b830 + b831 =L= 1;

e1926..    b830 + b832 =L= 1;

e1927..    b830 + b831 =L= 1;

e1928..    b831 + b832 =L= 1;

e1929..    b830 + b832 =L= 1;

e1930..    b831 + b832 =L= 1;

e1931..    b833 + b834 =L= 1;

e1932..    b833 + b835 =L= 1;

e1933..    b833 + b834 =L= 1;

e1934..    b834 + b835 =L= 1;

e1935..    b833 + b835 =L= 1;

e1936..    b834 + b835 =L= 1;

e1937..    b836 + b837 =L= 1;

e1938..    b836 + b838 =L= 1;

e1939..    b836 + b837 =L= 1;

e1940..    b837 + b838 =L= 1;

e1941..    b836 + b838 =L= 1;

e1942..    b837 + b838 =L= 1;

e1943..    b839 + b840 =L= 1;

e1944..    b839 + b841 =L= 1;

e1945..    b839 + b840 =L= 1;

e1946..    b840 + b841 =L= 1;

e1947..    b839 + b841 =L= 1;

e1948..    b840 + b841 =L= 1;

e1949..    b662 - b752 =L= 0;

e1950..  - b662 + b663 - b753 =L= 0;

e1951..  - b662 - b663 + b664 - b754 =L= 0;

e1952..    b665 - b755 =L= 0;

e1953..  - b665 + b666 - b756 =L= 0;

e1954..  - b665 - b666 + b667 - b757 =L= 0;

e1955..    b668 - b758 =L= 0;

e1956..  - b668 + b669 - b759 =L= 0;

e1957..  - b668 - b669 + b670 - b760 =L= 0;

e1958..    b671 - b761 =L= 0;

e1959..  - b671 + b672 - b762 =L= 0;

e1960..  - b671 - b672 + b673 - b763 =L= 0;

e1961..    b674 - b764 =L= 0;

e1962..  - b674 + b675 - b765 =L= 0;

e1963..  - b674 - b675 + b676 - b766 =L= 0;

e1964..    b677 - b767 =L= 0;

e1965..  - b677 + b678 - b768 =L= 0;

e1966..  - b677 - b678 + b679 - b769 =L= 0;

e1967..    b680 - b770 =L= 0;

e1968..  - b680 + b681 - b771 =L= 0;

e1969..  - b680 - b681 + b682 - b772 =L= 0;

e1970..    b683 - b773 =L= 0;

e1971..  - b683 + b684 - b774 =L= 0;

e1972..  - b683 - b684 + b685 - b775 =L= 0;

e1973..    b686 - b776 =L= 0;

e1974..  - b686 + b687 - b777 =L= 0;

e1975..  - b686 - b687 + b688 - b778 =L= 0;

e1976..    b689 - b779 =L= 0;

e1977..  - b689 + b690 - b780 =L= 0;

e1978..  - b689 - b690 + b691 - b781 =L= 0;

e1979..    b692 - b782 =L= 0;

e1980..  - b692 + b693 - b783 =L= 0;

e1981..  - b692 - b693 + b694 - b784 =L= 0;

e1982..    b695 - b785 =L= 0;

e1983..  - b695 + b696 - b786 =L= 0;

e1984..  - b695 - b696 + b697 - b787 =L= 0;

e1985..    b698 - b788 =L= 0;

e1986..  - b698 + b699 - b789 =L= 0;

e1987..  - b698 - b699 + b700 - b790 =L= 0;

e1988..    b701 - b791 =L= 0;

e1989..  - b701 + b702 - b792 =L= 0;

e1990..  - b701 - b702 + b703 - b793 =L= 0;

e1991..    b704 - b794 =L= 0;

e1992..  - b704 + b705 - b795 =L= 0;

e1993..  - b704 - b705 + b706 - b796 =L= 0;

e1994..    b707 - b797 =L= 0;

e1995..  - b707 + b708 - b798 =L= 0;

e1996..  - b707 - b708 + b709 - b799 =L= 0;

e1997..    b710 - b800 =L= 0;

e1998..  - b710 + b711 - b801 =L= 0;

e1999..  - b710 - b711 + b712 - b802 =L= 0;

e2000..    b713 - b803 =L= 0;

e2001..  - b713 + b714 - b804 =L= 0;

e2002..  - b713 - b714 + b715 - b805 =L= 0;

e2003..    b716 - b806 =L= 0;

e2004..  - b716 + b717 - b807 =L= 0;

e2005..  - b716 - b717 + b718 - b808 =L= 0;

e2006..    b719 - b809 =L= 0;

e2007..  - b719 + b720 - b810 =L= 0;

e2008..  - b719 - b720 + b721 - b811 =L= 0;

e2009..    b722 - b812 =L= 0;

e2010..  - b722 + b723 - b813 =L= 0;

e2011..  - b722 - b723 + b724 - b814 =L= 0;

e2012..    b725 - b815 =L= 0;

e2013..  - b725 + b726 - b816 =L= 0;

e2014..  - b725 - b726 + b727 - b817 =L= 0;

e2015..    b728 - b818 =L= 0;

e2016..  - b728 + b729 - b819 =L= 0;

e2017..  - b728 - b729 + b730 - b820 =L= 0;

e2018..    b731 - b821 =L= 0;

e2019..  - b731 + b732 - b822 =L= 0;

e2020..  - b731 - b732 + b733 - b823 =L= 0;

e2021..    b734 - b824 =L= 0;

e2022..  - b734 + b735 - b825 =L= 0;

e2023..  - b734 - b735 + b736 - b826 =L= 0;

e2024..    b737 - b827 =L= 0;

e2025..  - b737 + b738 - b828 =L= 0;

e2026..  - b737 - b738 + b739 - b829 =L= 0;

e2027..    b740 - b830 =L= 0;

e2028..  - b740 + b741 - b831 =L= 0;

e2029..  - b740 - b741 + b742 - b832 =L= 0;

e2030..    b743 - b833 =L= 0;

e2031..  - b743 + b744 - b834 =L= 0;

e2032..  - b743 - b744 + b745 - b835 =L= 0;

e2033..    b746 - b836 =L= 0;

e2034..  - b746 + b747 - b837 =L= 0;

e2035..  - b746 - b747 + b748 - b838 =L= 0;

e2036..    b749 - b839 =L= 0;

e2037..  - b749 + b750 - b840 =L= 0;

e2038..  - b749 - b750 + b751 - b841 =L= 0;

e2039..    b662 + b665 =E= 1;

e2040..    b663 + b666 =E= 1;

e2041..    b664 + b667 =E= 1;

e2042..  - b668 + b677 + b680 =G= 0;

e2043..  - b669 + b678 + b681 =G= 0;

e2044..  - b670 + b679 + b682 =G= 0;

e2045..  - b677 + b695 =G= 0;

e2046..  - b678 + b696 =G= 0;

e2047..  - b679 + b697 =G= 0;

e2048..  - b680 + b698 =G= 0;

e2049..  - b681 + b699 =G= 0;

e2050..  - b682 + b700 =G= 0;

e2051..  - b671 + b683 =G= 0;

e2052..  - b672 + b684 =G= 0;

e2053..  - b673 + b685 =G= 0;

e2054..  - b683 + b701 + b704 =G= 0;

e2055..  - b684 + b702 + b705 =G= 0;

e2056..  - b685 + b703 + b706 =G= 0;

e2057..  - b674 + b686 + b689 + b692 =G= 0;

e2058..  - b675 + b687 + b690 + b693 =G= 0;

e2059..  - b676 + b688 + b691 + b694 =G= 0;

e2060..  - b686 + b704 =G= 0;

e2061..  - b687 + b705 =G= 0;

e2062..  - b688 + b706 =G= 0;

e2063..  - b689 + b707 + b710 =G= 0;

e2064..  - b690 + b708 + b711 =G= 0;

e2065..  - b691 + b709 + b712 =G= 0;

e2066..  - b692 + b713 + b716 + b719 =G= 0;

e2067..  - b693 + b714 + b717 + b720 =G= 0;

e2068..  - b694 + b715 + b718 + b721 =G= 0;

e2069..    b662 + b665 - b668 =G= 0;

e2070..    b663 + b666 - b669 =G= 0;

e2071..    b664 + b667 - b670 =G= 0;

e2072..    b662 + b665 - b671 =G= 0;

e2073..    b663 + b666 - b672 =G= 0;

e2074..    b664 + b667 - b673 =G= 0;

e2075..    b662 + b665 - b674 =G= 0;

e2076..    b663 + b666 - b675 =G= 0;

e2077..    b664 + b667 - b676 =G= 0;

e2078..    b668 - b677 =G= 0;

e2079..    b669 - b678 =G= 0;

e2080..    b670 - b679 =G= 0;

e2081..    b668 - b680 =G= 0;

e2082..    b669 - b681 =G= 0;

e2083..    b670 - b682 =G= 0;

e2084..    b671 - b683 =G= 0;

e2085..    b672 - b684 =G= 0;

e2086..    b673 - b685 =G= 0;

e2087..    b674 - b686 =G= 0;

e2088..    b675 - b687 =G= 0;

e2089..    b676 - b688 =G= 0;

e2090..    b674 - b689 =G= 0;

e2091..    b675 - b690 =G= 0;

e2092..    b676 - b691 =G= 0;

e2093..    b674 - b692 =G= 0;

e2094..    b675 - b693 =G= 0;

e2095..    b676 - b694 =G= 0;

e2096..    b677 - b695 =G= 0;

e2097..    b678 - b696 =G= 0;

e2098..    b679 - b697 =G= 0;

e2099..    b680 - b698 =G= 0;

e2100..    b681 - b699 =G= 0;

e2101..    b682 - b700 =G= 0;

e2102..    b683 - b701 =G= 0;

e2103..    b684 - b702 =G= 0;

e2104..    b685 - b703 =G= 0;

e2105..    b683 - b704 =G= 0;

e2106..    b684 - b705 =G= 0;

e2107..    b685 - b706 =G= 0;

e2108..    b689 - b707 =G= 0;

e2109..    b690 - b708 =G= 0;

e2110..    b691 - b709 =G= 0;

e2111..    b689 - b710 =G= 0;

e2112..    b690 - b711 =G= 0;

e2113..    b691 - b712 =G= 0;

e2114..    b692 - b713 =G= 0;

e2115..    b693 - b714 =G= 0;

e2116..    b694 - b715 =G= 0;

e2117..    b692 - b716 =G= 0;

e2118..    b693 - b717 =G= 0;

e2119..    b694 - b718 =G= 0;

e2120..    b692 - b719 =G= 0;

e2121..    b693 - b720 =G= 0;

e2122..    b694 - b721 =G= 0;

e2123..  - b719 + b722 + b725 =G= 0;

e2124..  - b720 + b723 + b726 =G= 0;

e2125..  - b721 + b724 + b727 =G= 0;

e2126..  - b728 + b737 + b740 =G= 0;

e2127..  - b729 + b738 + b741 =G= 0;

e2128..  - b730 + b739 + b742 =G= 0;

e2129..  - b731 + b743 =G= 0;

e2130..  - b732 + b744 =G= 0;

e2131..  - b733 + b745 =G= 0;

e2132..    b719 - b722 =G= 0;

e2133..    b720 - b723 =G= 0;

e2134..    b721 - b724 =G= 0;

e2135..    b719 - b725 =G= 0;

e2136..    b720 - b726 =G= 0;

e2137..    b721 - b727 =G= 0;

e2138..    b728 - b737 =G= 0;

e2139..    b729 - b738 =G= 0;

e2140..    b730 - b739 =G= 0;

e2141..    b728 - b740 =G= 0;

e2142..    b729 - b741 =G= 0;

e2143..    b730 - b742 =G= 0;

e2144..    b731 - b743 =G= 0;

e2145..    b732 - b744 =G= 0;

e2146..    b733 - b745 =G= 0;

e2147..    b734 - b746 =G= 0;

e2148..    b735 - b747 =G= 0;

e2149..    b736 - b748 =G= 0;

e2150..    b734 - b749 =G= 0;

e2151..    b735 - b750 =G= 0;

e2152..    b736 - b751 =G= 0;

* set non-default bounds
x452.up = 40;
x453.up = 40;
x454.up = 40;
x485.up = 30;
x486.up = 30;
x487.up = 30;
x536.up = 20;
x537.up = 20;
x538.up = 20;
x539.up = 20;
x540.up = 20;
x541.up = 20;
x620.up = 30;
x621.up = 30;
x622.up = 30;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% maximizing objvar;


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