MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance slay10h

Determine the optimal placement of a set of units with fixed width and length such that the Euclidean distance between their center point and a predefined "safety point" is minimized.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
130070.46650000 p1 ( gdx sol )
(infeas: 3e-13)
129579.88380000 p2 ( gdx sol )
(infeas: 3e-10)
Other points (infeas > 1e-08)  
Dual Bounds
104499.38000000 (ALPHAECP)
129579.87280000 (ANTIGONE)
129579.88360000 (BARON)
129579.88000000 (BONMIN)
119728.12400000 (COUENNE)
129579.88380000 (CPLEX)
129579.88380000 (GUROBI)
129579.88380000 (LINDO)
129579.88380000 (SCIP)
129579.88380000 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source SLay10H.gms from CMU-IBM MINLP solver project page
Application Layout
Added to library 28 Sep 2013
Problem type MBQP
#Variables 1010
#Binary Variables 180
#Integer Variables 0
#Nonlinear Variables 20
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 110
#Nonlinear Nonzeros in Objective 20
#Constraints 1305
#Linear Constraints 1305
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 3600
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 20
#Nonzeros in Diagonal of Hessian of Lagrangian 20
#Blocks in Hessian of Lagrangian 20
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 4.0000e+02
Infeasibility of initial point 4
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       1306      226      180      900        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1011      831      180        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3711     3691       20        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,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,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,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,b842,b843,b844
          ,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856,b857
          ,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869,b870
          ,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882,b883
          ,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895,b896
          ,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908,b909
          ,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,objvar;

Positive Variables  x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
          ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
          ,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
          ,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
          ,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
          ,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
          ,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
          ,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
          ,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
          ,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
          ,x505,x506,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,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673
          ,x674,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686
          ,x687,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699
          ,x700,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712
          ,x713,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725
          ,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738
          ,x739,x740,x921,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931
          ,x932,x933,x934,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944
          ,x945,x946,x947,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957
          ,x958,x959,x960,x961,x962,x963,x964,x965,x966,x967,x968,x969,x970
          ,x971,x972,x973,x974,x975,x976,x977,x978,x979,x980,x981,x982,x983
          ,x984,x985,x986,x987,x988,x989,x990,x991,x992,x993,x994,x995,x996
          ,x997,x998,x999,x1000,x1001,x1002,x1003,x1004,x1005,x1006,x1007
          ,x1008,x1009,x1010;

Binary Variables  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,b842,b843
          ,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856
          ,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869
          ,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882
          ,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895
          ,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908
          ,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920;

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;


e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x11)) + 390*(sqr((-10) + x2) + sqr((-
     15) + x12)) + 240*(sqr((-7) + x3) + sqr((-9) + x13)) + 70*(sqr((-3) + x4)
      + sqr((-3) + x14)) + 165*(sqr((-20) + x5) + sqr((-17) + x15)) + 100*(sqr(
     (-18) + x6) + sqr((-8) + x16)) + 200*(sqr((-30) + x7) + sqr((-20) + x17))
      + 400*(sqr((-24) + x8) + sqr((-10) + x18)) + 330*(sqr((-22) + x9) + sqr((
     -6) + x19)) + 220*(sqr((-11) + x10) + sqr((-12) + x20))) - 300*x921
      - 240*x922 - 210*x923 - 140*x924 - 300*x925 - 250*x926 - 300*x927
      - 210*x928 - 320*x929 - 100*x930 - 150*x931 - 220*x932 - 200*x933
      - 300*x934 - 290*x935 - 400*x936 - 220*x937 - 120*x938 - 300*x939
      - 150*x940 - 150*x941 - 100*x942 - 290*x943 - 110*x944 - 100*x945
      - 120*x946 - 180*x947 - 220*x948 - 110*x949 - 100*x950 - 130*x951
      - 190*x952 - 110*x953 - 160*x954 - 400*x955 - 220*x956 - 140*x957
      - 120*x958 - 230*x959 - 260*x960 - 220*x961 - 310*x962 - 140*x963
      - 150*x964 - 130*x965 - 300*x966 - 240*x967 - 210*x968 - 140*x969
      - 300*x970 - 250*x971 - 300*x972 - 210*x973 - 320*x974 - 100*x975
      - 150*x976 - 220*x977 - 200*x978 - 300*x979 - 290*x980 - 400*x981
      - 220*x982 - 120*x983 - 300*x984 - 150*x985 - 150*x986 - 100*x987
      - 290*x988 - 110*x989 - 100*x990 - 120*x991 - 180*x992 - 220*x993
      - 110*x994 - 100*x995 - 130*x996 - 190*x997 - 110*x998 - 160*x999
      - 400*x1000 - 220*x1001 - 140*x1002 - 120*x1003 - 230*x1004 - 260*x1005
      - 220*x1006 - 310*x1007 - 140*x1008 - 150*x1009 - 130*x1010 + objvar
      =E= 0;

e2..  - x1 + x2 + x921 =G= 0;

e3..  - x1 + x3 + x922 =G= 0;

e4..  - x1 + x4 + x923 =G= 0;

e5..  - x1 + x5 + x924 =G= 0;

e6..  - x1 + x6 + x925 =G= 0;

e7..  - x1 + x7 + x926 =G= 0;

e8..  - x1 + x8 + x927 =G= 0;

e9..  - x1 + x9 + x928 =G= 0;

e10..  - x1 + x10 + x929 =G= 0;

e11..  - x2 + x3 + x930 =G= 0;

e12..  - x2 + x4 + x931 =G= 0;

e13..  - x2 + x5 + x932 =G= 0;

e14..  - x2 + x6 + x933 =G= 0;

e15..  - x2 + x7 + x934 =G= 0;

e16..  - x2 + x8 + x935 =G= 0;

e17..  - x2 + x9 + x936 =G= 0;

e18..  - x2 + x10 + x937 =G= 0;

e19..  - x3 + x4 + x938 =G= 0;

e20..  - x3 + x5 + x939 =G= 0;

e21..  - x3 + x6 + x940 =G= 0;

e22..  - x3 + x7 + x941 =G= 0;

e23..  - x3 + x8 + x942 =G= 0;

e24..  - x3 + x9 + x943 =G= 0;

e25..  - x3 + x10 + x944 =G= 0;

e26..  - x4 + x5 + x945 =G= 0;

e27..  - x4 + x6 + x946 =G= 0;

e28..  - x4 + x7 + x947 =G= 0;

e29..  - x4 + x8 + x948 =G= 0;

e30..  - x4 + x9 + x949 =G= 0;

e31..  - x4 + x10 + x950 =G= 0;

e32..  - x5 + x6 + x951 =G= 0;

e33..  - x5 + x7 + x952 =G= 0;

e34..  - x5 + x8 + x953 =G= 0;

e35..  - x5 + x9 + x954 =G= 0;

e36..  - x5 + x10 + x955 =G= 0;

e37..  - x6 + x7 + x956 =G= 0;

e38..  - x6 + x8 + x957 =G= 0;

e39..  - x6 + x9 + x958 =G= 0;

e40..  - x6 + x10 + x959 =G= 0;

e41..  - x7 + x8 + x960 =G= 0;

e42..  - x7 + x9 + x961 =G= 0;

e43..  - x7 + x10 + x962 =G= 0;

e44..  - x8 + x9 + x963 =G= 0;

e45..  - x8 + x10 + x964 =G= 0;

e46..  - x9 + x10 + x965 =G= 0;

e47..    x1 - x2 + x921 =G= 0;

e48..    x1 - x3 + x922 =G= 0;

e49..    x1 - x4 + x923 =G= 0;

e50..    x1 - x5 + x924 =G= 0;

e51..    x1 - x6 + x925 =G= 0;

e52..    x1 - x7 + x926 =G= 0;

e53..    x1 - x8 + x927 =G= 0;

e54..    x1 - x9 + x928 =G= 0;

e55..    x1 - x10 + x929 =G= 0;

e56..    x2 - x3 + x930 =G= 0;

e57..    x2 - x4 + x931 =G= 0;

e58..    x2 - x5 + x932 =G= 0;

e59..    x2 - x6 + x933 =G= 0;

e60..    x2 - x7 + x934 =G= 0;

e61..    x2 - x8 + x935 =G= 0;

e62..    x2 - x9 + x936 =G= 0;

e63..    x2 - x10 + x937 =G= 0;

e64..    x3 - x4 + x938 =G= 0;

e65..    x3 - x5 + x939 =G= 0;

e66..    x3 - x6 + x940 =G= 0;

e67..    x3 - x7 + x941 =G= 0;

e68..    x3 - x8 + x942 =G= 0;

e69..    x3 - x9 + x943 =G= 0;

e70..    x3 - x10 + x944 =G= 0;

e71..    x4 - x5 + x945 =G= 0;

e72..    x4 - x6 + x946 =G= 0;

e73..    x4 - x7 + x947 =G= 0;

e74..    x4 - x8 + x948 =G= 0;

e75..    x4 - x9 + x949 =G= 0;

e76..    x4 - x10 + x950 =G= 0;

e77..    x5 - x6 + x951 =G= 0;

e78..    x5 - x7 + x952 =G= 0;

e79..    x5 - x8 + x953 =G= 0;

e80..    x5 - x9 + x954 =G= 0;

e81..    x5 - x10 + x955 =G= 0;

e82..    x6 - x7 + x956 =G= 0;

e83..    x6 - x8 + x957 =G= 0;

e84..    x6 - x9 + x958 =G= 0;

e85..    x6 - x10 + x959 =G= 0;

e86..    x7 - x8 + x960 =G= 0;

e87..    x7 - x9 + x961 =G= 0;

e88..    x7 - x10 + x962 =G= 0;

e89..    x8 - x9 + x963 =G= 0;

e90..    x8 - x10 + x964 =G= 0;

e91..    x9 - x10 + x965 =G= 0;

e92..  - x11 + x12 + x966 =G= 0;

e93..  - x11 + x13 + x967 =G= 0;

e94..  - x11 + x14 + x968 =G= 0;

e95..  - x11 + x15 + x969 =G= 0;

e96..  - x11 + x16 + x970 =G= 0;

e97..  - x11 + x17 + x971 =G= 0;

e98..  - x11 + x18 + x972 =G= 0;

e99..  - x11 + x19 + x973 =G= 0;

e100..  - x11 + x20 + x974 =G= 0;

e101..  - x12 + x13 + x975 =G= 0;

e102..  - x12 + x14 + x976 =G= 0;

e103..  - x12 + x15 + x977 =G= 0;

e104..  - x12 + x16 + x978 =G= 0;

e105..  - x12 + x17 + x979 =G= 0;

e106..  - x12 + x18 + x980 =G= 0;

e107..  - x12 + x19 + x981 =G= 0;

e108..  - x12 + x20 + x982 =G= 0;

e109..  - x13 + x14 + x983 =G= 0;

e110..  - x13 + x15 + x984 =G= 0;

e111..  - x13 + x16 + x985 =G= 0;

e112..  - x13 + x17 + x986 =G= 0;

e113..  - x13 + x18 + x987 =G= 0;

e114..  - x13 + x19 + x988 =G= 0;

e115..  - x13 + x20 + x989 =G= 0;

e116..  - x14 + x15 + x990 =G= 0;

e117..  - x14 + x16 + x991 =G= 0;

e118..  - x14 + x17 + x992 =G= 0;

e119..  - x14 + x18 + x993 =G= 0;

e120..  - x14 + x19 + x994 =G= 0;

e121..  - x14 + x20 + x995 =G= 0;

e122..  - x15 + x16 + x996 =G= 0;

e123..  - x15 + x17 + x997 =G= 0;

e124..  - x15 + x18 + x998 =G= 0;

e125..  - x15 + x19 + x999 =G= 0;

e126..  - x15 + x20 + x1000 =G= 0;

e127..  - x16 + x17 + x1001 =G= 0;

e128..  - x16 + x18 + x1002 =G= 0;

e129..  - x16 + x19 + x1003 =G= 0;

e130..  - x16 + x20 + x1004 =G= 0;

e131..  - x17 + x18 + x1005 =G= 0;

e132..  - x17 + x19 + x1006 =G= 0;

e133..  - x17 + x20 + x1007 =G= 0;

e134..  - x18 + x19 + x1008 =G= 0;

e135..  - x18 + x20 + x1009 =G= 0;

e136..  - x19 + x20 + x1010 =G= 0;

e137..    x11 - x12 + x966 =G= 0;

e138..    x11 - x13 + x967 =G= 0;

e139..    x11 - x14 + x968 =G= 0;

e140..    x11 - x15 + x969 =G= 0;

e141..    x11 - x16 + x970 =G= 0;

e142..    x11 - x17 + x971 =G= 0;

e143..    x11 - x18 + x972 =G= 0;

e144..    x11 - x19 + x973 =G= 0;

e145..    x11 - x20 + x974 =G= 0;

e146..    x12 - x13 + x975 =G= 0;

e147..    x12 - x14 + x976 =G= 0;

e148..    x12 - x15 + x977 =G= 0;

e149..    x12 - x16 + x978 =G= 0;

e150..    x12 - x17 + x979 =G= 0;

e151..    x12 - x18 + x980 =G= 0;

e152..    x12 - x19 + x981 =G= 0;

e153..    x12 - x20 + x982 =G= 0;

e154..    x13 - x14 + x983 =G= 0;

e155..    x13 - x15 + x984 =G= 0;

e156..    x13 - x16 + x985 =G= 0;

e157..    x13 - x17 + x986 =G= 0;

e158..    x13 - x18 + x987 =G= 0;

e159..    x13 - x19 + x988 =G= 0;

e160..    x13 - x20 + x989 =G= 0;

e161..    x14 - x15 + x990 =G= 0;

e162..    x14 - x16 + x991 =G= 0;

e163..    x14 - x17 + x992 =G= 0;

e164..    x14 - x18 + x993 =G= 0;

e165..    x14 - x19 + x994 =G= 0;

e166..    x14 - x20 + x995 =G= 0;

e167..    x15 - x16 + x996 =G= 0;

e168..    x15 - x17 + x997 =G= 0;

e169..    x15 - x18 + x998 =G= 0;

e170..    x15 - x19 + x999 =G= 0;

e171..    x15 - x20 + x1000 =G= 0;

e172..    x16 - x17 + x1001 =G= 0;

e173..    x16 - x18 + x1002 =G= 0;

e174..    x16 - x19 + x1003 =G= 0;

e175..    x16 - x20 + x1004 =G= 0;

e176..    x17 - x18 + x1005 =G= 0;

e177..    x17 - x19 + x1006 =G= 0;

e178..    x17 - x20 + x1007 =G= 0;

e179..    x18 - x19 + x1008 =G= 0;

e180..    x18 - x20 + x1009 =G= 0;

e181..    x19 - x20 + x1010 =G= 0;

e182..    x1 - x21 - x30 - x39 - x48 =E= 0;

e183..    x1 - x22 - x31 - x40 - x49 =E= 0;

e184..    x1 - x23 - x32 - x41 - x50 =E= 0;

e185..    x1 - x24 - x33 - x42 - x51 =E= 0;

e186..    x1 - x25 - x34 - x43 - x52 =E= 0;

e187..    x1 - x26 - x35 - x44 - x53 =E= 0;

e188..    x1 - x27 - x36 - x45 - x54 =E= 0;

e189..    x1 - x28 - x37 - x46 - x55 =E= 0;

e190..    x1 - x29 - x38 - x47 - x56 =E= 0;

e191..    x2 - x57 - x66 - x75 - x84 =E= 0;

e192..    x2 - x58 - x67 - x76 - x85 =E= 0;

e193..    x2 - x59 - x68 - x77 - x86 =E= 0;

e194..    x2 - x60 - x69 - x78 - x87 =E= 0;

e195..    x2 - x61 - x70 - x79 - x88 =E= 0;

e196..    x2 - x62 - x71 - x80 - x89 =E= 0;

e197..    x2 - x63 - x72 - x81 - x90 =E= 0;

e198..    x2 - x64 - x73 - x82 - x91 =E= 0;

e199..    x2 - x65 - x74 - x83 - x92 =E= 0;

e200..    x3 - x93 - x102 - x111 - x120 =E= 0;

e201..    x3 - x94 - x103 - x112 - x121 =E= 0;

e202..    x3 - x95 - x104 - x113 - x122 =E= 0;

e203..    x3 - x96 - x105 - x114 - x123 =E= 0;

e204..    x3 - x97 - x106 - x115 - x124 =E= 0;

e205..    x3 - x98 - x107 - x116 - x125 =E= 0;

e206..    x3 - x99 - x108 - x117 - x126 =E= 0;

e207..    x3 - x100 - x109 - x118 - x127 =E= 0;

e208..    x3 - x101 - x110 - x119 - x128 =E= 0;

e209..    x4 - x129 - x138 - x147 - x156 =E= 0;

e210..    x4 - x130 - x139 - x148 - x157 =E= 0;

e211..    x4 - x131 - x140 - x149 - x158 =E= 0;

e212..    x4 - x132 - x141 - x150 - x159 =E= 0;

e213..    x4 - x133 - x142 - x151 - x160 =E= 0;

e214..    x4 - x134 - x143 - x152 - x161 =E= 0;

e215..    x4 - x135 - x144 - x153 - x162 =E= 0;

e216..    x4 - x136 - x145 - x154 - x163 =E= 0;

e217..    x4 - x137 - x146 - x155 - x164 =E= 0;

e218..    x5 - x165 - x174 - x183 - x192 =E= 0;

e219..    x5 - x166 - x175 - x184 - x193 =E= 0;

e220..    x5 - x167 - x176 - x185 - x194 =E= 0;

e221..    x5 - x168 - x177 - x186 - x195 =E= 0;

e222..    x5 - x169 - x178 - x187 - x196 =E= 0;

e223..    x5 - x170 - x179 - x188 - x197 =E= 0;

e224..    x5 - x171 - x180 - x189 - x198 =E= 0;

e225..    x5 - x172 - x181 - x190 - x199 =E= 0;

e226..    x5 - x173 - x182 - x191 - x200 =E= 0;

e227..    x6 - x201 - x210 - x219 - x228 =E= 0;

e228..    x6 - x202 - x211 - x220 - x229 =E= 0;

e229..    x6 - x203 - x212 - x221 - x230 =E= 0;

e230..    x6 - x204 - x213 - x222 - x231 =E= 0;

e231..    x6 - x205 - x214 - x223 - x232 =E= 0;

e232..    x6 - x206 - x215 - x224 - x233 =E= 0;

e233..    x6 - x207 - x216 - x225 - x234 =E= 0;

e234..    x6 - x208 - x217 - x226 - x235 =E= 0;

e235..    x6 - x209 - x218 - x227 - x236 =E= 0;

e236..    x7 - x237 - x246 - x255 - x264 =E= 0;

e237..    x7 - x238 - x247 - x256 - x265 =E= 0;

e238..    x7 - x239 - x248 - x257 - x266 =E= 0;

e239..    x7 - x240 - x249 - x258 - x267 =E= 0;

e240..    x7 - x241 - x250 - x259 - x268 =E= 0;

e241..    x7 - x242 - x251 - x260 - x269 =E= 0;

e242..    x7 - x243 - x252 - x261 - x270 =E= 0;

e243..    x7 - x244 - x253 - x262 - x271 =E= 0;

e244..    x7 - x245 - x254 - x263 - x272 =E= 0;

e245..    x8 - x273 - x282 - x291 - x300 =E= 0;

e246..    x8 - x274 - x283 - x292 - x301 =E= 0;

e247..    x8 - x275 - x284 - x293 - x302 =E= 0;

e248..    x8 - x276 - x285 - x294 - x303 =E= 0;

e249..    x8 - x277 - x286 - x295 - x304 =E= 0;

e250..    x8 - x278 - x287 - x296 - x305 =E= 0;

e251..    x8 - x279 - x288 - x297 - x306 =E= 0;

e252..    x8 - x280 - x289 - x298 - x307 =E= 0;

e253..    x8 - x281 - x290 - x299 - x308 =E= 0;

e254..    x9 - x309 - x318 - x327 - x336 =E= 0;

e255..    x9 - x310 - x319 - x328 - x337 =E= 0;

e256..    x9 - x311 - x320 - x329 - x338 =E= 0;

e257..    x9 - x312 - x321 - x330 - x339 =E= 0;

e258..    x9 - x313 - x322 - x331 - x340 =E= 0;

e259..    x9 - x314 - x323 - x332 - x341 =E= 0;

e260..    x9 - x315 - x324 - x333 - x342 =E= 0;

e261..    x9 - x316 - x325 - x334 - x343 =E= 0;

e262..    x9 - x317 - x326 - x335 - x344 =E= 0;

e263..    x10 - x345 - x354 - x363 - x372 =E= 0;

e264..    x10 - x346 - x355 - x364 - x373 =E= 0;

e265..    x10 - x347 - x356 - x365 - x374 =E= 0;

e266..    x10 - x348 - x357 - x366 - x375 =E= 0;

e267..    x10 - x349 - x358 - x367 - x376 =E= 0;

e268..    x10 - x350 - x359 - x368 - x377 =E= 0;

e269..    x10 - x351 - x360 - x369 - x378 =E= 0;

e270..    x10 - x352 - x361 - x370 - x379 =E= 0;

e271..    x10 - x353 - x362 - x371 - x380 =E= 0;

e272..    x11 - x381 - x390 - x399 - x408 =E= 0;

e273..    x11 - x382 - x391 - x400 - x409 =E= 0;

e274..    x11 - x383 - x392 - x401 - x410 =E= 0;

e275..    x11 - x384 - x393 - x402 - x411 =E= 0;

e276..    x11 - x385 - x394 - x403 - x412 =E= 0;

e277..    x11 - x386 - x395 - x404 - x413 =E= 0;

e278..    x11 - x387 - x396 - x405 - x414 =E= 0;

e279..    x11 - x388 - x397 - x406 - x415 =E= 0;

e280..    x11 - x389 - x398 - x407 - x416 =E= 0;

e281..    x12 - x417 - x426 - x435 - x444 =E= 0;

e282..    x12 - x418 - x427 - x436 - x445 =E= 0;

e283..    x12 - x419 - x428 - x437 - x446 =E= 0;

e284..    x12 - x420 - x429 - x438 - x447 =E= 0;

e285..    x12 - x421 - x430 - x439 - x448 =E= 0;

e286..    x12 - x422 - x431 - x440 - x449 =E= 0;

e287..    x12 - x423 - x432 - x441 - x450 =E= 0;

e288..    x12 - x424 - x433 - x442 - x451 =E= 0;

e289..    x12 - x425 - x434 - x443 - x452 =E= 0;

e290..    x13 - x453 - x462 - x471 - x480 =E= 0;

e291..    x13 - x454 - x463 - x472 - x481 =E= 0;

e292..    x13 - x455 - x464 - x473 - x482 =E= 0;

e293..    x13 - x456 - x465 - x474 - x483 =E= 0;

e294..    x13 - x457 - x466 - x475 - x484 =E= 0;

e295..    x13 - x458 - x467 - x476 - x485 =E= 0;

e296..    x13 - x459 - x468 - x477 - x486 =E= 0;

e297..    x13 - x460 - x469 - x478 - x487 =E= 0;

e298..    x13 - x461 - x470 - x479 - x488 =E= 0;

e299..    x14 - x489 - x498 - x507 - x516 =E= 0;

e300..    x14 - x490 - x499 - x508 - x517 =E= 0;

e301..    x14 - x491 - x500 - x509 - x518 =E= 0;

e302..    x14 - x492 - x501 - x510 - x519 =E= 0;

e303..    x14 - x493 - x502 - x511 - x520 =E= 0;

e304..    x14 - x494 - x503 - x512 - x521 =E= 0;

e305..    x14 - x495 - x504 - x513 - x522 =E= 0;

e306..    x14 - x496 - x505 - x514 - x523 =E= 0;

e307..    x14 - x497 - x506 - x515 - x524 =E= 0;

e308..    x15 - x525 - x534 - x543 - x552 =E= 0;

e309..    x15 - x526 - x535 - x544 - x553 =E= 0;

e310..    x15 - x527 - x536 - x545 - x554 =E= 0;

e311..    x15 - x528 - x537 - x546 - x555 =E= 0;

e312..    x15 - x529 - x538 - x547 - x556 =E= 0;

e313..    x15 - x530 - x539 - x548 - x557 =E= 0;

e314..    x15 - x531 - x540 - x549 - x558 =E= 0;

e315..    x15 - x532 - x541 - x550 - x559 =E= 0;

e316..    x15 - x533 - x542 - x551 - x560 =E= 0;

e317..    x16 - x561 - x570 - x579 - x588 =E= 0;

e318..    x16 - x562 - x571 - x580 - x589 =E= 0;

e319..    x16 - x563 - x572 - x581 - x590 =E= 0;

e320..    x16 - x564 - x573 - x582 - x591 =E= 0;

e321..    x16 - x565 - x574 - x583 - x592 =E= 0;

e322..    x16 - x566 - x575 - x584 - x593 =E= 0;

e323..    x16 - x567 - x576 - x585 - x594 =E= 0;

e324..    x16 - x568 - x577 - x586 - x595 =E= 0;

e325..    x16 - x569 - x578 - x587 - x596 =E= 0;

e326..    x17 - x597 - x606 - x615 - x624 =E= 0;

e327..    x17 - x598 - x607 - x616 - x625 =E= 0;

e328..    x17 - x599 - x608 - x617 - x626 =E= 0;

e329..    x17 - x600 - x609 - x618 - x627 =E= 0;

e330..    x17 - x601 - x610 - x619 - x628 =E= 0;

e331..    x17 - x602 - x611 - x620 - x629 =E= 0;

e332..    x17 - x603 - x612 - x621 - x630 =E= 0;

e333..    x17 - x604 - x613 - x622 - x631 =E= 0;

e334..    x17 - x605 - x614 - x623 - x632 =E= 0;

e335..    x18 - x633 - x642 - x651 - x660 =E= 0;

e336..    x18 - x634 - x643 - x652 - x661 =E= 0;

e337..    x18 - x635 - x644 - x653 - x662 =E= 0;

e338..    x18 - x636 - x645 - x654 - x663 =E= 0;

e339..    x18 - x637 - x646 - x655 - x664 =E= 0;

e340..    x18 - x638 - x647 - x656 - x665 =E= 0;

e341..    x18 - x639 - x648 - x657 - x666 =E= 0;

e342..    x18 - x640 - x649 - x658 - x667 =E= 0;

e343..    x18 - x641 - x650 - x659 - x668 =E= 0;

e344..    x19 - x669 - x678 - x687 - x696 =E= 0;

e345..    x19 - x670 - x679 - x688 - x697 =E= 0;

e346..    x19 - x671 - x680 - x689 - x698 =E= 0;

e347..    x19 - x672 - x681 - x690 - x699 =E= 0;

e348..    x19 - x673 - x682 - x691 - x700 =E= 0;

e349..    x19 - x674 - x683 - x692 - x701 =E= 0;

e350..    x19 - x675 - x684 - x693 - x702 =E= 0;

e351..    x19 - x676 - x685 - x694 - x703 =E= 0;

e352..    x19 - x677 - x686 - x695 - x704 =E= 0;

e353..    x20 - x705 - x714 - x723 - x732 =E= 0;

e354..    x20 - x706 - x715 - x724 - x733 =E= 0;

e355..    x20 - x707 - x716 - x725 - x734 =E= 0;

e356..    x20 - x708 - x717 - x726 - x735 =E= 0;

e357..    x20 - x709 - x718 - x727 - x736 =E= 0;

e358..    x20 - x710 - x719 - x728 - x737 =E= 0;

e359..    x20 - x711 - x720 - x729 - x738 =E= 0;

e360..    x20 - x712 - x721 - x730 - x739 =E= 0;

e361..    x20 - x713 - x722 - x731 - x740 =E= 0;

e362..    x21 - 37.5*b741 =L= 0;

e363..    x22 - 37.5*b742 =L= 0;

e364..    x23 - 37.5*b743 =L= 0;

e365..    x24 - 37.5*b744 =L= 0;

e366..    x25 - 37.5*b745 =L= 0;

e367..    x26 - 37.5*b746 =L= 0;

e368..    x27 - 37.5*b747 =L= 0;

e369..    x28 - 37.5*b748 =L= 0;

e370..    x29 - 37.5*b749 =L= 0;

e371..    x30 - 37.5*b786 =L= 0;

e372..    x31 - 37.5*b787 =L= 0;

e373..    x32 - 37.5*b788 =L= 0;

e374..    x33 - 37.5*b789 =L= 0;

e375..    x34 - 37.5*b790 =L= 0;

e376..    x35 - 37.5*b791 =L= 0;

e377..    x36 - 37.5*b792 =L= 0;

e378..    x37 - 37.5*b793 =L= 0;

e379..    x38 - 37.5*b794 =L= 0;

e380..    x39 - 37.5*b831 =L= 0;

e381..    x40 - 37.5*b832 =L= 0;

e382..    x41 - 37.5*b833 =L= 0;

e383..    x42 - 37.5*b834 =L= 0;

e384..    x43 - 37.5*b835 =L= 0;

e385..    x44 - 37.5*b836 =L= 0;

e386..    x45 - 37.5*b837 =L= 0;

e387..    x46 - 37.5*b838 =L= 0;

e388..    x47 - 37.5*b839 =L= 0;

e389..    x48 - 37.5*b876 =L= 0;

e390..    x49 - 37.5*b877 =L= 0;

e391..    x50 - 37.5*b878 =L= 0;

e392..    x51 - 37.5*b879 =L= 0;

e393..    x52 - 37.5*b880 =L= 0;

e394..    x53 - 37.5*b881 =L= 0;

e395..    x54 - 37.5*b882 =L= 0;

e396..    x55 - 37.5*b883 =L= 0;

e397..    x56 - 37.5*b884 =L= 0;

e398..    x57 - 37.5*b741 =L= 0;

e399..    x58 - 36.5*b750 =L= 0;

e400..    x59 - 36.5*b751 =L= 0;

e401..    x60 - 36.5*b752 =L= 0;

e402..    x61 - 36.5*b753 =L= 0;

e403..    x62 - 36.5*b754 =L= 0;

e404..    x63 - 36.5*b755 =L= 0;

e405..    x64 - 36.5*b756 =L= 0;

e406..    x65 - 36.5*b757 =L= 0;

e407..    x66 - 37.5*b786 =L= 0;

e408..    x67 - 36.5*b795 =L= 0;

e409..    x68 - 36.5*b796 =L= 0;

e410..    x69 - 36.5*b797 =L= 0;

e411..    x70 - 36.5*b798 =L= 0;

e412..    x71 - 36.5*b799 =L= 0;

e413..    x72 - 36.5*b800 =L= 0;

e414..    x73 - 36.5*b801 =L= 0;

e415..    x74 - 36.5*b802 =L= 0;

e416..    x75 - 37.5*b831 =L= 0;

e417..    x76 - 36.5*b840 =L= 0;

e418..    x77 - 36.5*b841 =L= 0;

e419..    x78 - 36.5*b842 =L= 0;

e420..    x79 - 36.5*b843 =L= 0;

e421..    x80 - 36.5*b844 =L= 0;

e422..    x81 - 36.5*b845 =L= 0;

e423..    x82 - 36.5*b846 =L= 0;

e424..    x83 - 36.5*b847 =L= 0;

e425..    x84 - 37.5*b876 =L= 0;

e426..    x85 - 36.5*b885 =L= 0;

e427..    x86 - 36.5*b886 =L= 0;

e428..    x87 - 36.5*b887 =L= 0;

e429..    x88 - 36.5*b888 =L= 0;

e430..    x89 - 36.5*b889 =L= 0;

e431..    x90 - 36.5*b890 =L= 0;

e432..    x91 - 36.5*b891 =L= 0;

e433..    x92 - 36.5*b892 =L= 0;

e434..    x93 - 37.5*b742 =L= 0;

e435..    x94 - 36.5*b750 =L= 0;

e436..    x95 - 38.5*b758 =L= 0;

e437..    x96 - 38.5*b759 =L= 0;

e438..    x97 - 38.5*b760 =L= 0;

e439..    x98 - 38.5*b761 =L= 0;

e440..    x99 - 38.5*b762 =L= 0;

e441..    x100 - 38.5*b763 =L= 0;

e442..    x101 - 38.5*b764 =L= 0;

e443..    x102 - 37.5*b787 =L= 0;

e444..    x103 - 36.5*b795 =L= 0;

e445..    x104 - 38.5*b803 =L= 0;

e446..    x105 - 38.5*b804 =L= 0;

e447..    x106 - 38.5*b805 =L= 0;

e448..    x107 - 38.5*b806 =L= 0;

e449..    x108 - 38.5*b807 =L= 0;

e450..    x109 - 38.5*b808 =L= 0;

e451..    x110 - 38.5*b809 =L= 0;

e452..    x111 - 37.5*b832 =L= 0;

e453..    x112 - 36.5*b840 =L= 0;

e454..    x113 - 38.5*b848 =L= 0;

e455..    x114 - 38.5*b849 =L= 0;

e456..    x115 - 38.5*b850 =L= 0;

e457..    x116 - 38.5*b851 =L= 0;

e458..    x117 - 38.5*b852 =L= 0;

e459..    x118 - 38.5*b853 =L= 0;

e460..    x119 - 38.5*b854 =L= 0;

e461..    x120 - 37.5*b877 =L= 0;

e462..    x121 - 36.5*b885 =L= 0;

e463..    x122 - 38.5*b893 =L= 0;

e464..    x123 - 38.5*b894 =L= 0;

e465..    x124 - 38.5*b895 =L= 0;

e466..    x125 - 38.5*b896 =L= 0;

e467..    x126 - 38.5*b897 =L= 0;

e468..    x127 - 38.5*b898 =L= 0;

e469..    x128 - 38.5*b899 =L= 0;

e470..    x129 - 37.5*b743 =L= 0;

e471..    x130 - 36.5*b751 =L= 0;

e472..    x131 - 38.5*b758 =L= 0;

e473..    x132 - 39*b765 =L= 0;

e474..    x133 - 39*b766 =L= 0;

e475..    x134 - 39*b767 =L= 0;

e476..    x135 - 39*b768 =L= 0;

e477..    x136 - 39*b769 =L= 0;

e478..    x137 - 39*b770 =L= 0;

e479..    x138 - 37.5*b788 =L= 0;

e480..    x139 - 36.5*b796 =L= 0;

e481..    x140 - 38.5*b803 =L= 0;

e482..    x141 - 39*b810 =L= 0;

e483..    x142 - 39*b811 =L= 0;

e484..    x143 - 39*b812 =L= 0;

e485..    x144 - 39*b813 =L= 0;

e486..    x145 - 39*b814 =L= 0;

e487..    x146 - 39*b815 =L= 0;

e488..    x147 - 37.5*b833 =L= 0;

e489..    x148 - 36.5*b841 =L= 0;

e490..    x149 - 38.5*b848 =L= 0;

e491..    x150 - 39*b855 =L= 0;

e492..    x151 - 39*b856 =L= 0;

e493..    x152 - 39*b857 =L= 0;

e494..    x153 - 39*b858 =L= 0;

e495..    x154 - 39*b859 =L= 0;

e496..    x155 - 39*b860 =L= 0;

e497..    x156 - 37.5*b878 =L= 0;

e498..    x157 - 36.5*b886 =L= 0;

e499..    x158 - 38.5*b893 =L= 0;

e500..    x159 - 39*b900 =L= 0;

e501..    x160 - 39*b901 =L= 0;

e502..    x161 - 39*b902 =L= 0;

e503..    x162 - 39*b903 =L= 0;

e504..    x163 - 39*b904 =L= 0;

e505..    x164 - 39*b905 =L= 0;

e506..    x165 - 37.5*b744 =L= 0;

e507..    x166 - 36.5*b752 =L= 0;

e508..    x167 - 38.5*b759 =L= 0;

e509..    x168 - 39*b765 =L= 0;

e510..    x169 - 38*b771 =L= 0;

e511..    x170 - 38*b772 =L= 0;

e512..    x171 - 38*b773 =L= 0;

e513..    x172 - 38*b774 =L= 0;

e514..    x173 - 38*b775 =L= 0;

e515..    x174 - 37.5*b789 =L= 0;

e516..    x175 - 36.5*b797 =L= 0;

e517..    x176 - 38.5*b804 =L= 0;

e518..    x177 - 39*b810 =L= 0;

e519..    x178 - 38*b816 =L= 0;

e520..    x179 - 38*b817 =L= 0;

e521..    x180 - 38*b818 =L= 0;

e522..    x181 - 38*b819 =L= 0;

e523..    x182 - 38*b820 =L= 0;

e524..    x183 - 37.5*b834 =L= 0;

e525..    x184 - 36.5*b842 =L= 0;

e526..    x185 - 38.5*b849 =L= 0;

e527..    x186 - 39*b855 =L= 0;

e528..    x187 - 38*b861 =L= 0;

e529..    x188 - 38*b862 =L= 0;

e530..    x189 - 38*b863 =L= 0;

e531..    x190 - 38*b864 =L= 0;

e532..    x191 - 38*b865 =L= 0;

e533..    x192 - 37.5*b879 =L= 0;

e534..    x193 - 36.5*b887 =L= 0;

e535..    x194 - 38.5*b894 =L= 0;

e536..    x195 - 39*b900 =L= 0;

e537..    x196 - 38*b906 =L= 0;

e538..    x197 - 38*b907 =L= 0;

e539..    x198 - 38*b908 =L= 0;

e540..    x199 - 38*b909 =L= 0;

e541..    x200 - 38*b910 =L= 0;

e542..    x201 - 37.5*b745 =L= 0;

e543..    x202 - 36.5*b753 =L= 0;

e544..    x203 - 38.5*b760 =L= 0;

e545..    x204 - 39*b766 =L= 0;

e546..    x205 - 38*b771 =L= 0;

e547..    x206 - 37.5*b776 =L= 0;

e548..    x207 - 37.5*b777 =L= 0;

e549..    x208 - 37.5*b778 =L= 0;

e550..    x209 - 37.5*b779 =L= 0;

e551..    x210 - 37.5*b790 =L= 0;

e552..    x211 - 36.5*b798 =L= 0;

e553..    x212 - 38.5*b805 =L= 0;

e554..    x213 - 39*b811 =L= 0;

e555..    x214 - 38*b816 =L= 0;

e556..    x215 - 37.5*b821 =L= 0;

e557..    x216 - 37.5*b822 =L= 0;

e558..    x217 - 37.5*b823 =L= 0;

e559..    x218 - 37.5*b824 =L= 0;

e560..    x219 - 37.5*b835 =L= 0;

e561..    x220 - 36.5*b843 =L= 0;

e562..    x221 - 38.5*b850 =L= 0;

e563..    x222 - 39*b856 =L= 0;

e564..    x223 - 38*b861 =L= 0;

e565..    x224 - 37.5*b866 =L= 0;

e566..    x225 - 37.5*b867 =L= 0;

e567..    x226 - 37.5*b868 =L= 0;

e568..    x227 - 37.5*b869 =L= 0;

e569..    x228 - 37.5*b880 =L= 0;

e570..    x229 - 36.5*b888 =L= 0;

e571..    x230 - 38.5*b895 =L= 0;

e572..    x231 - 39*b901 =L= 0;

e573..    x232 - 38*b906 =L= 0;

e574..    x233 - 37.5*b911 =L= 0;

e575..    x234 - 37.5*b912 =L= 0;

e576..    x235 - 37.5*b913 =L= 0;

e577..    x236 - 37.5*b914 =L= 0;

e578..    x237 - 37.5*b746 =L= 0;

e579..    x238 - 36.5*b754 =L= 0;

e580..    x239 - 38.5*b761 =L= 0;

e581..    x240 - 39*b767 =L= 0;

e582..    x241 - 38*b772 =L= 0;

e583..    x242 - 37.5*b776 =L= 0;

e584..    x243 - 36*b780 =L= 0;

e585..    x244 - 36*b781 =L= 0;

e586..    x245 - 36*b782 =L= 0;

e587..    x246 - 37.5*b791 =L= 0;

e588..    x247 - 36.5*b799 =L= 0;

e589..    x248 - 38.5*b806 =L= 0;

e590..    x249 - 39*b812 =L= 0;

e591..    x250 - 38*b817 =L= 0;

e592..    x251 - 37.5*b821 =L= 0;

e593..    x252 - 36*b825 =L= 0;

e594..    x253 - 36*b826 =L= 0;

e595..    x254 - 36*b827 =L= 0;

e596..    x255 - 37.5*b836 =L= 0;

e597..    x256 - 36.5*b844 =L= 0;

e598..    x257 - 38.5*b851 =L= 0;

e599..    x258 - 39*b857 =L= 0;

e600..    x259 - 38*b862 =L= 0;

e601..    x260 - 37.5*b866 =L= 0;

e602..    x261 - 36*b870 =L= 0;

e603..    x262 - 36*b871 =L= 0;

e604..    x263 - 36*b872 =L= 0;

e605..    x264 - 37.5*b881 =L= 0;

e606..    x265 - 36.5*b889 =L= 0;

e607..    x266 - 38.5*b896 =L= 0;

e608..    x267 - 39*b902 =L= 0;

e609..    x268 - 38*b907 =L= 0;

e610..    x269 - 37.5*b911 =L= 0;

e611..    x270 - 36*b915 =L= 0;

e612..    x271 - 36*b916 =L= 0;

e613..    x272 - 36*b917 =L= 0;

e614..    x273 - 37.5*b747 =L= 0;

e615..    x274 - 36.5*b755 =L= 0;

e616..    x275 - 38.5*b762 =L= 0;

e617..    x276 - 39*b768 =L= 0;

e618..    x277 - 38*b773 =L= 0;

e619..    x278 - 37.5*b777 =L= 0;

e620..    x279 - 36*b780 =L= 0;

e621..    x280 - 38*b783 =L= 0;

e622..    x281 - 38*b784 =L= 0;

e623..    x282 - 37.5*b792 =L= 0;

e624..    x283 - 36.5*b800 =L= 0;

e625..    x284 - 38.5*b807 =L= 0;

e626..    x285 - 39*b813 =L= 0;

e627..    x286 - 38*b818 =L= 0;

e628..    x287 - 37.5*b822 =L= 0;

e629..    x288 - 36*b825 =L= 0;

e630..    x289 - 38*b828 =L= 0;

e631..    x290 - 38*b829 =L= 0;

e632..    x291 - 37.5*b837 =L= 0;

e633..    x292 - 36.5*b845 =L= 0;

e634..    x293 - 38.5*b852 =L= 0;

e635..    x294 - 39*b858 =L= 0;

e636..    x295 - 38*b863 =L= 0;

e637..    x296 - 37.5*b867 =L= 0;

e638..    x297 - 36*b870 =L= 0;

e639..    x298 - 38*b873 =L= 0;

e640..    x299 - 38*b874 =L= 0;

e641..    x300 - 37.5*b882 =L= 0;

e642..    x301 - 36.5*b890 =L= 0;

e643..    x302 - 38.5*b897 =L= 0;

e644..    x303 - 39*b903 =L= 0;

e645..    x304 - 38*b908 =L= 0;

e646..    x305 - 37.5*b912 =L= 0;

e647..    x306 - 36*b915 =L= 0;

e648..    x307 - 38*b918 =L= 0;

e649..    x308 - 38*b919 =L= 0;

e650..    x309 - 37.5*b748 =L= 0;

e651..    x310 - 36.5*b756 =L= 0;

e652..    x311 - 38.5*b763 =L= 0;

e653..    x312 - 39*b769 =L= 0;

e654..    x313 - 38*b774 =L= 0;

e655..    x314 - 37.5*b778 =L= 0;

e656..    x315 - 36*b781 =L= 0;

e657..    x316 - 38*b783 =L= 0;

e658..    x317 - 39*b785 =L= 0;

e659..    x318 - 37.5*b793 =L= 0;

e660..    x319 - 36.5*b801 =L= 0;

e661..    x320 - 38.5*b808 =L= 0;

e662..    x321 - 39*b814 =L= 0;

e663..    x322 - 38*b819 =L= 0;

e664..    x323 - 37.5*b823 =L= 0;

e665..    x324 - 36*b826 =L= 0;

e666..    x325 - 38*b828 =L= 0;

e667..    x326 - 39*b830 =L= 0;

e668..    x327 - 37.5*b838 =L= 0;

e669..    x328 - 36.5*b846 =L= 0;

e670..    x329 - 38.5*b853 =L= 0;

e671..    x330 - 39*b859 =L= 0;

e672..    x331 - 38*b864 =L= 0;

e673..    x332 - 37.5*b868 =L= 0;

e674..    x333 - 36*b871 =L= 0;

e675..    x334 - 38*b873 =L= 0;

e676..    x335 - 39*b875 =L= 0;

e677..    x336 - 37.5*b883 =L= 0;

e678..    x337 - 36.5*b891 =L= 0;

e679..    x338 - 38.5*b898 =L= 0;

e680..    x339 - 39*b904 =L= 0;

e681..    x340 - 38*b909 =L= 0;

e682..    x341 - 37.5*b913 =L= 0;

e683..    x342 - 36*b916 =L= 0;

e684..    x343 - 38*b918 =L= 0;

e685..    x344 - 39*b920 =L= 0;

e686..    x345 - 37.5*b749 =L= 0;

e687..    x346 - 36.5*b757 =L= 0;

e688..    x347 - 38.5*b764 =L= 0;

e689..    x348 - 39*b770 =L= 0;

e690..    x349 - 38*b775 =L= 0;

e691..    x350 - 37.5*b779 =L= 0;

e692..    x351 - 36*b782 =L= 0;

e693..    x352 - 38*b784 =L= 0;

e694..    x353 - 39*b785 =L= 0;

e695..    x354 - 37.5*b794 =L= 0;

e696..    x355 - 36.5*b802 =L= 0;

e697..    x356 - 38.5*b809 =L= 0;

e698..    x357 - 39*b815 =L= 0;

e699..    x358 - 38*b820 =L= 0;

e700..    x359 - 37.5*b824 =L= 0;

e701..    x360 - 36*b827 =L= 0;

e702..    x361 - 38*b829 =L= 0;

e703..    x362 - 39*b830 =L= 0;

e704..    x363 - 37.5*b839 =L= 0;

e705..    x364 - 36.5*b847 =L= 0;

e706..    x365 - 38.5*b854 =L= 0;

e707..    x366 - 39*b860 =L= 0;

e708..    x367 - 38*b865 =L= 0;

e709..    x368 - 37.5*b869 =L= 0;

e710..    x369 - 36*b872 =L= 0;

e711..    x370 - 38*b874 =L= 0;

e712..    x371 - 39*b875 =L= 0;

e713..    x372 - 37.5*b884 =L= 0;

e714..    x373 - 36.5*b892 =L= 0;

e715..    x374 - 38.5*b899 =L= 0;

e716..    x375 - 39*b905 =L= 0;

e717..    x376 - 38*b910 =L= 0;

e718..    x377 - 37.5*b914 =L= 0;

e719..    x378 - 36*b917 =L= 0;

e720..    x379 - 38*b919 =L= 0;

e721..    x380 - 39*b920 =L= 0;

e722..    x381 - 37*b741 =L= 0;

e723..    x382 - 37*b742 =L= 0;

e724..    x383 - 37*b743 =L= 0;

e725..    x384 - 37*b744 =L= 0;

e726..    x385 - 37*b745 =L= 0;

e727..    x386 - 37*b746 =L= 0;

e728..    x387 - 37*b747 =L= 0;

e729..    x388 - 37*b748 =L= 0;

e730..    x389 - 37*b749 =L= 0;

e731..    x390 - 37*b786 =L= 0;

e732..    x391 - 37*b787 =L= 0;

e733..    x392 - 37*b788 =L= 0;

e734..    x393 - 37*b789 =L= 0;

e735..    x394 - 37*b790 =L= 0;

e736..    x395 - 37*b791 =L= 0;

e737..    x396 - 37*b792 =L= 0;

e738..    x397 - 37*b793 =L= 0;

e739..    x398 - 37*b794 =L= 0;

e740..    x399 - 37*b831 =L= 0;

e741..    x400 - 37*b832 =L= 0;

e742..    x401 - 37*b833 =L= 0;

e743..    x402 - 37*b834 =L= 0;

e744..    x403 - 37*b835 =L= 0;

e745..    x404 - 37*b836 =L= 0;

e746..    x405 - 37*b837 =L= 0;

e747..    x406 - 37*b838 =L= 0;

e748..    x407 - 37*b839 =L= 0;

e749..    x408 - 37*b876 =L= 0;

e750..    x409 - 37*b877 =L= 0;

e751..    x410 - 37*b878 =L= 0;

e752..    x411 - 37*b879 =L= 0;

e753..    x412 - 37*b880 =L= 0;

e754..    x413 - 37*b881 =L= 0;

e755..    x414 - 37*b882 =L= 0;

e756..    x415 - 37*b883 =L= 0;

e757..    x416 - 37*b884 =L= 0;

e758..    x417 - 37*b741 =L= 0;

e759..    x418 - 37.5*b750 =L= 0;

e760..    x419 - 37.5*b751 =L= 0;

e761..    x420 - 37.5*b752 =L= 0;

e762..    x421 - 37.5*b753 =L= 0;

e763..    x422 - 37.5*b754 =L= 0;

e764..    x423 - 37.5*b755 =L= 0;

e765..    x424 - 37.5*b756 =L= 0;

e766..    x425 - 37.5*b757 =L= 0;

e767..    x426 - 37*b786 =L= 0;

e768..    x427 - 37.5*b795 =L= 0;

e769..    x428 - 37.5*b796 =L= 0;

e770..    x429 - 37.5*b797 =L= 0;

e771..    x430 - 37.5*b798 =L= 0;

e772..    x431 - 37.5*b799 =L= 0;

e773..    x432 - 37.5*b800 =L= 0;

e774..    x433 - 37.5*b801 =L= 0;

e775..    x434 - 37.5*b802 =L= 0;

e776..    x435 - 37*b831 =L= 0;

e777..    x436 - 37.5*b840 =L= 0;

e778..    x437 - 37.5*b841 =L= 0;

e779..    x438 - 37.5*b842 =L= 0;

e780..    x439 - 37.5*b843 =L= 0;

e781..    x440 - 37.5*b844 =L= 0;

e782..    x441 - 37.5*b845 =L= 0;

e783..    x442 - 37.5*b846 =L= 0;

e784..    x443 - 37.5*b847 =L= 0;

e785..    x444 - 37*b876 =L= 0;

e786..    x445 - 37.5*b885 =L= 0;

e787..    x446 - 37.5*b886 =L= 0;

e788..    x447 - 37.5*b887 =L= 0;

e789..    x448 - 37.5*b888 =L= 0;

e790..    x449 - 37.5*b889 =L= 0;

e791..    x450 - 37.5*b890 =L= 0;

e792..    x451 - 37.5*b891 =L= 0;

e793..    x452 - 37.5*b892 =L= 0;

e794..    x453 - 37*b742 =L= 0;

e795..    x454 - 37.5*b750 =L= 0;

e796..    x455 - 38.5*b758 =L= 0;

e797..    x456 - 38.5*b759 =L= 0;

e798..    x457 - 38.5*b760 =L= 0;

e799..    x458 - 38.5*b761 =L= 0;

e800..    x459 - 38.5*b762 =L= 0;

e801..    x460 - 38.5*b763 =L= 0;

e802..    x461 - 38.5*b764 =L= 0;

e803..    x462 - 37*b787 =L= 0;

e804..    x463 - 37.5*b795 =L= 0;

e805..    x464 - 38.5*b803 =L= 0;

e806..    x465 - 38.5*b804 =L= 0;

e807..    x466 - 38.5*b805 =L= 0;

e808..    x467 - 38.5*b806 =L= 0;

e809..    x468 - 38.5*b807 =L= 0;

e810..    x469 - 38.5*b808 =L= 0;

e811..    x470 - 38.5*b809 =L= 0;

e812..    x471 - 37*b832 =L= 0;

e813..    x472 - 37.5*b840 =L= 0;

e814..    x473 - 38.5*b848 =L= 0;

e815..    x474 - 38.5*b849 =L= 0;

e816..    x475 - 38.5*b850 =L= 0;

e817..    x476 - 38.5*b851 =L= 0;

e818..    x477 - 38.5*b852 =L= 0;

e819..    x478 - 38.5*b853 =L= 0;

e820..    x479 - 38.5*b854 =L= 0;

e821..    x480 - 37*b877 =L= 0;

e822..    x481 - 37.5*b885 =L= 0;

e823..    x482 - 38.5*b893 =L= 0;

e824..    x483 - 38.5*b894 =L= 0;

e825..    x484 - 38.5*b895 =L= 0;

e826..    x485 - 38.5*b896 =L= 0;

e827..    x486 - 38.5*b897 =L= 0;

e828..    x487 - 38.5*b898 =L= 0;

e829..    x488 - 38.5*b899 =L= 0;

e830..    x489 - 37*b743 =L= 0;

e831..    x490 - 37.5*b751 =L= 0;

e832..    x491 - 38.5*b758 =L= 0;

e833..    x492 - 38.5*b765 =L= 0;

e834..    x493 - 38.5*b766 =L= 0;

e835..    x494 - 38.5*b767 =L= 0;

e836..    x495 - 38.5*b768 =L= 0;

e837..    x496 - 38.5*b769 =L= 0;

e838..    x497 - 38.5*b770 =L= 0;

e839..    x498 - 37*b788 =L= 0;

e840..    x499 - 37.5*b796 =L= 0;

e841..    x500 - 38.5*b803 =L= 0;

e842..    x501 - 38.5*b810 =L= 0;

e843..    x502 - 38.5*b811 =L= 0;

e844..    x503 - 38.5*b812 =L= 0;

e845..    x504 - 38.5*b813 =L= 0;

e846..    x505 - 38.5*b814 =L= 0;

e847..    x506 - 38.5*b815 =L= 0;

e848..    x507 - 37*b833 =L= 0;

e849..    x508 - 37.5*b841 =L= 0;

e850..    x509 - 38.5*b848 =L= 0;

e851..    x510 - 38.5*b855 =L= 0;

e852..    x511 - 38.5*b856 =L= 0;

e853..    x512 - 38.5*b857 =L= 0;

e854..    x513 - 38.5*b858 =L= 0;

e855..    x514 - 38.5*b859 =L= 0;

e856..    x515 - 38.5*b860 =L= 0;

e857..    x516 - 37*b878 =L= 0;

e858..    x517 - 37.5*b886 =L= 0;

e859..    x518 - 38.5*b893 =L= 0;

e860..    x519 - 38.5*b900 =L= 0;

e861..    x520 - 38.5*b901 =L= 0;

e862..    x521 - 38.5*b902 =L= 0;

e863..    x522 - 38.5*b903 =L= 0;

e864..    x523 - 38.5*b904 =L= 0;

e865..    x524 - 38.5*b905 =L= 0;

e866..    x525 - 37*b744 =L= 0;

e867..    x526 - 37.5*b752 =L= 0;

e868..    x527 - 38.5*b759 =L= 0;

e869..    x528 - 38.5*b765 =L= 0;

e870..    x529 - 38*b771 =L= 0;

e871..    x530 - 38*b772 =L= 0;

e872..    x531 - 38*b773 =L= 0;

e873..    x532 - 38*b774 =L= 0;

e874..    x533 - 38*b775 =L= 0;

e875..    x534 - 37*b789 =L= 0;

e876..    x535 - 37.5*b797 =L= 0;

e877..    x536 - 38.5*b804 =L= 0;

e878..    x537 - 38.5*b810 =L= 0;

e879..    x538 - 38*b816 =L= 0;

e880..    x539 - 38*b817 =L= 0;

e881..    x540 - 38*b818 =L= 0;

e882..    x541 - 38*b819 =L= 0;

e883..    x542 - 38*b820 =L= 0;

e884..    x543 - 37*b834 =L= 0;

e885..    x544 - 37.5*b842 =L= 0;

e886..    x545 - 38.5*b849 =L= 0;

e887..    x546 - 38.5*b855 =L= 0;

e888..    x547 - 38*b861 =L= 0;

e889..    x548 - 38*b862 =L= 0;

e890..    x549 - 38*b863 =L= 0;

e891..    x550 - 38*b864 =L= 0;

e892..    x551 - 38*b865 =L= 0;

e893..    x552 - 37*b879 =L= 0;

e894..    x553 - 37.5*b887 =L= 0;

e895..    x554 - 38.5*b894 =L= 0;

e896..    x555 - 38.5*b900 =L= 0;

e897..    x556 - 38*b906 =L= 0;

e898..    x557 - 38*b907 =L= 0;

e899..    x558 - 38*b908 =L= 0;

e900..    x559 - 38*b909 =L= 0;

e901..    x560 - 38*b910 =L= 0;

e902..    x561 - 37*b745 =L= 0;

e903..    x562 - 37.5*b753 =L= 0;

e904..    x563 - 38.5*b760 =L= 0;

e905..    x564 - 38.5*b766 =L= 0;

e906..    x565 - 38*b771 =L= 0;

e907..    x566 - 39*b776 =L= 0;

e908..    x567 - 39*b777 =L= 0;

e909..    x568 - 39*b778 =L= 0;

e910..    x569 - 39*b779 =L= 0;

e911..    x570 - 37*b790 =L= 0;

e912..    x571 - 37.5*b798 =L= 0;

e913..    x572 - 38.5*b805 =L= 0;

e914..    x573 - 38.5*b811 =L= 0;

e915..    x574 - 38*b816 =L= 0;

e916..    x575 - 39*b821 =L= 0;

e917..    x576 - 39*b822 =L= 0;

e918..    x577 - 39*b823 =L= 0;

e919..    x578 - 39*b824 =L= 0;

e920..    x579 - 37*b835 =L= 0;

e921..    x580 - 37.5*b843 =L= 0;

e922..    x581 - 38.5*b850 =L= 0;

e923..    x582 - 38.5*b856 =L= 0;

e924..    x583 - 38*b861 =L= 0;

e925..    x584 - 39*b866 =L= 0;

e926..    x585 - 39*b867 =L= 0;

e927..    x586 - 39*b868 =L= 0;

e928..    x587 - 39*b869 =L= 0;

e929..    x588 - 37*b880 =L= 0;

e930..    x589 - 37.5*b888 =L= 0;

e931..    x590 - 38.5*b895 =L= 0;

e932..    x591 - 38.5*b901 =L= 0;

e933..    x592 - 38*b906 =L= 0;

e934..    x593 - 39*b911 =L= 0;

e935..    x594 - 39*b912 =L= 0;

e936..    x595 - 39*b913 =L= 0;

e937..    x596 - 39*b914 =L= 0;

e938..    x597 - 37*b746 =L= 0;

e939..    x598 - 37.5*b754 =L= 0;

e940..    x599 - 38.5*b761 =L= 0;

e941..    x600 - 38.5*b767 =L= 0;

e942..    x601 - 38*b772 =L= 0;

e943..    x602 - 39*b776 =L= 0;

e944..    x603 - 37*b780 =L= 0;

e945..    x604 - 37*b781 =L= 0;

e946..    x605 - 37*b782 =L= 0;

e947..    x606 - 37*b791 =L= 0;

e948..    x607 - 37.5*b799 =L= 0;

e949..    x608 - 38.5*b806 =L= 0;

e950..    x609 - 38.5*b812 =L= 0;

e951..    x610 - 38*b817 =L= 0;

e952..    x611 - 39*b821 =L= 0;

e953..    x612 - 37*b825 =L= 0;

e954..    x613 - 37*b826 =L= 0;

e955..    x614 - 37*b827 =L= 0;

e956..    x615 - 37*b836 =L= 0;

e957..    x616 - 37.5*b844 =L= 0;

e958..    x617 - 38.5*b851 =L= 0;

e959..    x618 - 38.5*b857 =L= 0;

e960..    x619 - 38*b862 =L= 0;

e961..    x620 - 39*b866 =L= 0;

e962..    x621 - 37*b870 =L= 0;

e963..    x622 - 37*b871 =L= 0;

e964..    x623 - 37*b872 =L= 0;

e965..    x624 - 37*b881 =L= 0;

e966..    x625 - 37.5*b889 =L= 0;

e967..    x626 - 38.5*b896 =L= 0;

e968..    x627 - 38.5*b902 =L= 0;

e969..    x628 - 38*b907 =L= 0;

e970..    x629 - 39*b911 =L= 0;

e971..    x630 - 37*b915 =L= 0;

e972..    x631 - 37*b916 =L= 0;

e973..    x632 - 37*b917 =L= 0;

e974..    x633 - 37*b747 =L= 0;

e975..    x634 - 37.5*b755 =L= 0;

e976..    x635 - 38.5*b762 =L= 0;

e977..    x636 - 38.5*b768 =L= 0;

e978..    x637 - 38*b773 =L= 0;

e979..    x638 - 39*b777 =L= 0;

e980..    x639 - 37*b780 =L= 0;

e981..    x640 - 37*b783 =L= 0;

e982..    x641 - 37*b784 =L= 0;

e983..    x642 - 37*b792 =L= 0;

e984..    x643 - 37.5*b800 =L= 0;

e985..    x644 - 38.5*b807 =L= 0;

e986..    x645 - 38.5*b813 =L= 0;

e987..    x646 - 38*b818 =L= 0;

e988..    x647 - 39*b822 =L= 0;

e989..    x648 - 37*b825 =L= 0;

e990..    x649 - 37*b828 =L= 0;

e991..    x650 - 37*b829 =L= 0;

e992..    x651 - 37*b837 =L= 0;

e993..    x652 - 37.5*b845 =L= 0;

e994..    x653 - 38.5*b852 =L= 0;

e995..    x654 - 38.5*b858 =L= 0;

e996..    x655 - 38*b863 =L= 0;

e997..    x656 - 39*b867 =L= 0;

e998..    x657 - 37*b870 =L= 0;

e999..    x658 - 37*b873 =L= 0;

e1000..    x659 - 37*b874 =L= 0;

e1001..    x660 - 37*b882 =L= 0;

e1002..    x661 - 37.5*b890 =L= 0;

e1003..    x662 - 38.5*b897 =L= 0;

e1004..    x663 - 38.5*b903 =L= 0;

e1005..    x664 - 38*b908 =L= 0;

e1006..    x665 - 39*b912 =L= 0;

e1007..    x666 - 37*b915 =L= 0;

e1008..    x667 - 37*b918 =L= 0;

e1009..    x668 - 37*b919 =L= 0;

e1010..    x669 - 37*b748 =L= 0;

e1011..    x670 - 37.5*b756 =L= 0;

e1012..    x671 - 38.5*b763 =L= 0;

e1013..    x672 - 38.5*b769 =L= 0;

e1014..    x673 - 38*b774 =L= 0;

e1015..    x674 - 39*b778 =L= 0;

e1016..    x675 - 37*b781 =L= 0;

e1017..    x676 - 37*b783 =L= 0;

e1018..    x677 - 37.5*b785 =L= 0;

e1019..    x678 - 37*b793 =L= 0;

e1020..    x679 - 37.5*b801 =L= 0;

e1021..    x680 - 38.5*b808 =L= 0;

e1022..    x681 - 38.5*b814 =L= 0;

e1023..    x682 - 38*b819 =L= 0;

e1024..    x683 - 39*b823 =L= 0;

e1025..    x684 - 37*b826 =L= 0;

e1026..    x685 - 37*b828 =L= 0;

e1027..    x686 - 37.5*b830 =L= 0;

e1028..    x687 - 37*b838 =L= 0;

e1029..    x688 - 37.5*b846 =L= 0;

e1030..    x689 - 38.5*b853 =L= 0;

e1031..    x690 - 38.5*b859 =L= 0;

e1032..    x691 - 38*b864 =L= 0;

e1033..    x692 - 39*b868 =L= 0;

e1034..    x693 - 37*b871 =L= 0;

e1035..    x694 - 37*b873 =L= 0;

e1036..    x695 - 37.5*b875 =L= 0;

e1037..    x696 - 37*b883 =L= 0;

e1038..    x697 - 37.5*b891 =L= 0;

e1039..    x698 - 38.5*b898 =L= 0;

e1040..    x699 - 38.5*b904 =L= 0;

e1041..    x700 - 38*b909 =L= 0;

e1042..    x701 - 39*b913 =L= 0;

e1043..    x702 - 37*b916 =L= 0;

e1044..    x703 - 37*b918 =L= 0;

e1045..    x704 - 37.5*b920 =L= 0;

e1046..    x705 - 37*b749 =L= 0;

e1047..    x706 - 37.5*b757 =L= 0;

e1048..    x707 - 38.5*b764 =L= 0;

e1049..    x708 - 38.5*b770 =L= 0;

e1050..    x709 - 38*b775 =L= 0;

e1051..    x710 - 39*b779 =L= 0;

e1052..    x711 - 37*b782 =L= 0;

e1053..    x712 - 37*b784 =L= 0;

e1054..    x713 - 37.5*b785 =L= 0;

e1055..    x714 - 37*b794 =L= 0;

e1056..    x715 - 37.5*b802 =L= 0;

e1057..    x716 - 38.5*b809 =L= 0;

e1058..    x717 - 38.5*b815 =L= 0;

e1059..    x718 - 38*b820 =L= 0;

e1060..    x719 - 39*b824 =L= 0;

e1061..    x720 - 37*b827 =L= 0;

e1062..    x721 - 37*b829 =L= 0;

e1063..    x722 - 37.5*b830 =L= 0;

e1064..    x723 - 37*b839 =L= 0;

e1065..    x724 - 37.5*b847 =L= 0;

e1066..    x725 - 38.5*b854 =L= 0;

e1067..    x726 - 38.5*b860 =L= 0;

e1068..    x727 - 38*b865 =L= 0;

e1069..    x728 - 39*b869 =L= 0;

e1070..    x729 - 37*b872 =L= 0;

e1071..    x730 - 37*b874 =L= 0;

e1072..    x731 - 37.5*b875 =L= 0;

e1073..    x732 - 37*b884 =L= 0;

e1074..    x733 - 37.5*b892 =L= 0;

e1075..    x734 - 38.5*b899 =L= 0;

e1076..    x735 - 38.5*b905 =L= 0;

e1077..    x736 - 38*b910 =L= 0;

e1078..    x737 - 39*b914 =L= 0;

e1079..    x738 - 37*b917 =L= 0;

e1080..    x739 - 37*b919 =L= 0;

e1081..    x740 - 37.5*b920 =L= 0;

e1082..    x21 - x57 + 6*b741 =L= 0;

e1083..    x22 - x93 + 4*b742 =L= 0;

e1084..    x23 - x129 + 3.5*b743 =L= 0;

e1085..    x24 - x165 + 4.5*b744 =L= 0;

e1086..    x25 - x201 + 5*b745 =L= 0;

e1087..    x26 - x237 + 6.5*b746 =L= 0;

e1088..    x27 - x273 + 4.5*b747 =L= 0;

e1089..    x28 - x309 + 3.5*b748 =L= 0;

e1090..    x29 - x345 + 5.5*b749 =L= 0;

e1091..    x58 - x94 + 5*b750 =L= 0;

e1092..    x59 - x130 + 4.5*b751 =L= 0;

e1093..    x60 - x166 + 5.5*b752 =L= 0;

e1094..    x61 - x202 + 6*b753 =L= 0;

e1095..    x62 - x238 + 7.5*b754 =L= 0;

e1096..    x63 - x274 + 5.5*b755 =L= 0;

e1097..    x64 - x310 + 4.5*b756 =L= 0;

e1098..    x65 - x346 + 6.5*b757 =L= 0;

e1099..    x95 - x131 + 2.5*b758 =L= 0;

e1100..    x96 - x167 + 3.5*b759 =L= 0;

e1101..    x97 - x203 + 4*b760 =L= 0;

e1102..    x98 - x239 + 5.5*b761 =L= 0;

e1103..    x99 - x275 + 3.5*b762 =L= 0;

e1104..    x100 - x311 + 2.5*b763 =L= 0;

e1105..    x101 - x347 + 4.5*b764 =L= 0;

e1106..    x132 - x168 + 3*b765 =L= 0;

e1107..    x133 - x204 + 3.5*b766 =L= 0;

e1108..    x134 - x240 + 5*b767 =L= 0;

e1109..    x135 - x276 + 3*b768 =L= 0;

e1110..    x136 - x312 + 2*b769 =L= 0;

e1111..    x137 - x348 + 4*b770 =L= 0;

e1112..    x169 - x205 + 4.5*b771 =L= 0;

e1113..    x170 - x241 + 6*b772 =L= 0;

e1114..    x171 - x277 + 4*b773 =L= 0;

e1115..    x172 - x313 + 3*b774 =L= 0;

e1116..    x173 - x349 + 5*b775 =L= 0;

e1117..    x206 - x242 + 6.5*b776 =L= 0;

e1118..    x207 - x278 + 4.5*b777 =L= 0;

e1119..    x208 - x314 + 3.5*b778 =L= 0;

e1120..    x209 - x350 + 5.5*b779 =L= 0;

e1121..    x243 - x279 + 6*b780 =L= 0;

e1122..    x244 - x315 + 5*b781 =L= 0;

e1123..    x245 - x351 + 7*b782 =L= 0;

e1124..    x280 - x316 + 3*b783 =L= 0;

e1125..    x281 - x352 + 5*b784 =L= 0;

e1126..    x317 - x353 + 4*b785 =L= 0;

e1127..  - x30 + x66 + 6*b786 =L= 0;

e1128..  - x31 + x102 + 4*b787 =L= 0;

e1129..  - x32 + x138 + 3.5*b788 =L= 0;

e1130..  - x33 + x174 + 4.5*b789 =L= 0;

e1131..  - x34 + x210 + 5*b790 =L= 0;

e1132..  - x35 + x246 + 6.5*b791 =L= 0;

e1133..  - x36 + x282 + 4.5*b792 =L= 0;

e1134..  - x37 + x318 + 3.5*b793 =L= 0;

e1135..  - x38 + x354 + 5.5*b794 =L= 0;

e1136..  - x67 + x103 + 5*b795 =L= 0;

e1137..  - x68 + x139 + 4.5*b796 =L= 0;

e1138..  - x69 + x175 + 5.5*b797 =L= 0;

e1139..  - x70 + x211 + 6*b798 =L= 0;

e1140..  - x71 + x247 + 7.5*b799 =L= 0;

e1141..  - x72 + x283 + 5.5*b800 =L= 0;

e1142..  - x73 + x319 + 4.5*b801 =L= 0;

e1143..  - x74 + x355 + 6.5*b802 =L= 0;

e1144..  - x104 + x140 + 2.5*b803 =L= 0;

e1145..  - x105 + x176 + 3.5*b804 =L= 0;

e1146..  - x106 + x212 + 4*b805 =L= 0;

e1147..  - x107 + x248 + 5.5*b806 =L= 0;

e1148..  - x108 + x284 + 3.5*b807 =L= 0;

e1149..  - x109 + x320 + 2.5*b808 =L= 0;

e1150..  - x110 + x356 + 4.5*b809 =L= 0;

e1151..  - x141 + x177 + 3*b810 =L= 0;

e1152..  - x142 + x213 + 3.5*b811 =L= 0;

e1153..  - x143 + x249 + 5*b812 =L= 0;

e1154..  - x144 + x285 + 3*b813 =L= 0;

e1155..  - x145 + x321 + 2*b814 =L= 0;

e1156..  - x146 + x357 + 4*b815 =L= 0;

e1157..  - x178 + x214 + 4.5*b816 =L= 0;

e1158..  - x179 + x250 + 6*b817 =L= 0;

e1159..  - x180 + x286 + 4*b818 =L= 0;

e1160..  - x181 + x322 + 3*b819 =L= 0;

e1161..  - x182 + x358 + 5*b820 =L= 0;

e1162..  - x215 + x251 + 6.5*b821 =L= 0;

e1163..  - x216 + x287 + 4.5*b822 =L= 0;

e1164..  - x217 + x323 + 3.5*b823 =L= 0;

e1165..  - x218 + x359 + 5.5*b824 =L= 0;

e1166..  - x252 + x288 + 6*b825 =L= 0;

e1167..  - x253 + x324 + 5*b826 =L= 0;

e1168..  - x254 + x360 + 7*b827 =L= 0;

e1169..  - x289 + x325 + 3*b828 =L= 0;

e1170..  - x290 + x361 + 5*b829 =L= 0;

e1171..  - x326 + x362 + 4*b830 =L= 0;

e1172..    x399 - x435 + 5.5*b831 =L= 0;

e1173..    x400 - x471 + 4.5*b832 =L= 0;

e1174..    x401 - x507 + 4.5*b833 =L= 0;

e1175..    x402 - x543 + 5*b834 =L= 0;

e1176..    x403 - x579 + 4*b835 =L= 0;

e1177..    x404 - x615 + 6*b836 =L= 0;

e1178..    x405 - x651 + 6*b837 =L= 0;

e1179..    x406 - x687 + 5.5*b838 =L= 0;

e1180..    x407 - x723 + 4.5*b839 =L= 0;

e1181..    x436 - x472 + 4*b840 =L= 0;

e1182..    x437 - x508 + 4*b841 =L= 0;

e1183..    x438 - x544 + 4.5*b842 =L= 0;

e1184..    x439 - x580 + 3.5*b843 =L= 0;

e1185..    x440 - x616 + 5.5*b844 =L= 0;

e1186..    x441 - x652 + 5.5*b845 =L= 0;

e1187..    x442 - x688 + 5*b846 =L= 0;

e1188..    x443 - x724 + 4*b847 =L= 0;

e1189..    x473 - x509 + 3*b848 =L= 0;

e1190..    x474 - x545 + 3.5*b849 =L= 0;

e1191..    x475 - x581 + 2.5*b850 =L= 0;

e1192..    x476 - x617 + 4.5*b851 =L= 0;

e1193..    x477 - x653 + 4.5*b852 =L= 0;

e1194..    x478 - x689 + 4*b853 =L= 0;

e1195..    x479 - x725 + 3*b854 =L= 0;

e1196..    x510 - x546 + 3.5*b855 =L= 0;

e1197..    x511 - x582 + 2.5*b856 =L= 0;

e1198..    x512 - x618 + 4.5*b857 =L= 0;

e1199..    x513 - x654 + 4.5*b858 =L= 0;

e1200..    x514 - x690 + 4*b859 =L= 0;

e1201..    x515 - x726 + 3*b860 =L= 0;

e1202..    x547 - x583 + 3*b861 =L= 0;

e1203..    x548 - x619 + 5*b862 =L= 0;

e1204..    x549 - x655 + 5*b863 =L= 0;

e1205..    x550 - x691 + 4.5*b864 =L= 0;

e1206..    x551 - x727 + 3.5*b865 =L= 0;

e1207..    x584 - x620 + 4*b866 =L= 0;

e1208..    x585 - x656 + 4*b867 =L= 0;

e1209..    x586 - x692 + 3.5*b868 =L= 0;

e1210..    x587 - x728 + 2.5*b869 =L= 0;

e1211..    x621 - x657 + 6*b870 =L= 0;

e1212..    x622 - x693 + 5.5*b871 =L= 0;

e1213..    x623 - x729 + 4.5*b872 =L= 0;

e1214..    x658 - x694 + 5.5*b873 =L= 0;

e1215..    x659 - x730 + 4.5*b874 =L= 0;

e1216..    x695 - x731 + 4*b875 =L= 0;

e1217..  - x408 + x444 + 5.5*b876 =L= 0;

e1218..  - x409 + x480 + 4.5*b877 =L= 0;

e1219..  - x410 + x516 + 4.5*b878 =L= 0;

e1220..  - x411 + x552 + 5*b879 =L= 0;

e1221..  - x412 + x588 + 4*b880 =L= 0;

e1222..  - x413 + x624 + 6*b881 =L= 0;

e1223..  - x414 + x660 + 6*b882 =L= 0;

e1224..  - x415 + x696 + 5.5*b883 =L= 0;

e1225..  - x416 + x732 + 4.5*b884 =L= 0;

e1226..  - x445 + x481 + 4*b885 =L= 0;

e1227..  - x446 + x517 + 4*b886 =L= 0;

e1228..  - x447 + x553 + 4.5*b887 =L= 0;

e1229..  - x448 + x589 + 3.5*b888 =L= 0;

e1230..  - x449 + x625 + 5.5*b889 =L= 0;

e1231..  - x450 + x661 + 5.5*b890 =L= 0;

e1232..  - x451 + x697 + 5*b891 =L= 0;

e1233..  - x452 + x733 + 4*b892 =L= 0;

e1234..  - x482 + x518 + 3*b893 =L= 0;

e1235..  - x483 + x554 + 3.5*b894 =L= 0;

e1236..  - x484 + x590 + 2.5*b895 =L= 0;

e1237..  - x485 + x626 + 4.5*b896 =L= 0;

e1238..  - x486 + x662 + 4.5*b897 =L= 0;

e1239..  - x487 + x698 + 4*b898 =L= 0;

e1240..  - x488 + x734 + 3*b899 =L= 0;

e1241..  - x519 + x555 + 3.5*b900 =L= 0;

e1242..  - x520 + x591 + 2.5*b901 =L= 0;

e1243..  - x521 + x627 + 4.5*b902 =L= 0;

e1244..  - x522 + x663 + 4.5*b903 =L= 0;

e1245..  - x523 + x699 + 4*b904 =L= 0;

e1246..  - x524 + x735 + 3*b905 =L= 0;

e1247..  - x556 + x592 + 3*b906 =L= 0;

e1248..  - x557 + x628 + 5*b907 =L= 0;

e1249..  - x558 + x664 + 5*b908 =L= 0;

e1250..  - x559 + x700 + 4.5*b909 =L= 0;

e1251..  - x560 + x736 + 3.5*b910 =L= 0;

e1252..  - x593 + x629 + 4*b911 =L= 0;

e1253..  - x594 + x665 + 4*b912 =L= 0;

e1254..  - x595 + x701 + 3.5*b913 =L= 0;

e1255..  - x596 + x737 + 2.5*b914 =L= 0;

e1256..  - x630 + x666 + 6*b915 =L= 0;

e1257..  - x631 + x702 + 5.5*b916 =L= 0;

e1258..  - x632 + x738 + 4.5*b917 =L= 0;

e1259..  - x667 + x703 + 5.5*b918 =L= 0;

e1260..  - x668 + x739 + 4.5*b919 =L= 0;

e1261..  - x704 + x740 + 4*b920 =L= 0;

e1262..    b741 + b786 + b831 + b876 =E= 1;

e1263..    b742 + b787 + b832 + b877 =E= 1;

e1264..    b743 + b788 + b833 + b878 =E= 1;

e1265..    b744 + b789 + b834 + b879 =E= 1;

e1266..    b745 + b790 + b835 + b880 =E= 1;

e1267..    b746 + b791 + b836 + b881 =E= 1;

e1268..    b747 + b792 + b837 + b882 =E= 1;

e1269..    b748 + b793 + b838 + b883 =E= 1;

e1270..    b749 + b794 + b839 + b884 =E= 1;

e1271..    b750 + b795 + b840 + b885 =E= 1;

e1272..    b751 + b796 + b841 + b886 =E= 1;

e1273..    b752 + b797 + b842 + b887 =E= 1;

e1274..    b753 + b798 + b843 + b888 =E= 1;

e1275..    b754 + b799 + b844 + b889 =E= 1;

e1276..    b755 + b800 + b845 + b890 =E= 1;

e1277..    b756 + b801 + b846 + b891 =E= 1;

e1278..    b757 + b802 + b847 + b892 =E= 1;

e1279..    b758 + b803 + b848 + b893 =E= 1;

e1280..    b759 + b804 + b849 + b894 =E= 1;

e1281..    b760 + b805 + b850 + b895 =E= 1;

e1282..    b761 + b806 + b851 + b896 =E= 1;

e1283..    b762 + b807 + b852 + b897 =E= 1;

e1284..    b763 + b808 + b853 + b898 =E= 1;

e1285..    b764 + b809 + b854 + b899 =E= 1;

e1286..    b765 + b810 + b855 + b900 =E= 1;

e1287..    b766 + b811 + b856 + b901 =E= 1;

e1288..    b767 + b812 + b857 + b902 =E= 1;

e1289..    b768 + b813 + b858 + b903 =E= 1;

e1290..    b769 + b814 + b859 + b904 =E= 1;

e1291..    b770 + b815 + b860 + b905 =E= 1;

e1292..    b771 + b816 + b861 + b906 =E= 1;

e1293..    b772 + b817 + b862 + b907 =E= 1;

e1294..    b773 + b818 + b863 + b908 =E= 1;

e1295..    b774 + b819 + b864 + b909 =E= 1;

e1296..    b775 + b820 + b865 + b910 =E= 1;

e1297..    b776 + b821 + b866 + b911 =E= 1;

e1298..    b777 + b822 + b867 + b912 =E= 1;

e1299..    b778 + b823 + b868 + b913 =E= 1;

e1300..    b779 + b824 + b869 + b914 =E= 1;

e1301..    b780 + b825 + b870 + b915 =E= 1;

e1302..    b781 + b826 + b871 + b916 =E= 1;

e1303..    b782 + b827 + b872 + b917 =E= 1;

e1304..    b783 + b828 + b873 + b918 =E= 1;

e1305..    b784 + b829 + b874 + b919 =E= 1;

e1306..    b785 + b830 + b875 + b920 =E= 1;

* set non-default bounds
x1.lo = 2.5; x1.up = 37.5;
x2.lo = 3.5; x2.up = 36.5;
x3.lo = 1.5; x3.up = 38.5;
x4.lo = 1; x4.up = 39;
x5.lo = 2; x5.up = 38;
x6.lo = 2.5; x6.up = 37.5;
x7.lo = 4; x7.up = 36;
x8.lo = 2; x8.up = 38;
x9.lo = 1; x9.up = 39;
x10.lo = 3; x10.up = 37;
x11.lo = 3; x11.up = 37;
x12.lo = 2.5; x12.up = 37.5;
x13.lo = 1.5; x13.up = 38.5;
x14.lo = 1.5; x14.up = 38.5;
x15.lo = 2; x15.up = 38;
x16.lo = 1; x16.up = 39;
x17.lo = 3; x17.up = 37;
x18.lo = 3; x18.up = 37;
x19.lo = 2.5; x19.up = 37.5;
x20.lo = 1.5; x20.up = 38.5;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-10-14 Git hash: 2be6d7c0
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