MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: pooling_foulds3stp

STP formulation of pooling problem. Explicitly added RLT constraints were removed from the original formulation of Alfaki and Haugland.
Formats ams gms lp mod osil pip
Primal Bounds (infeas ≤ 1e-08)
-8.00000000 p1 ( gdx sol )
(infeas: 2e-16)
Other points (infeas > 1e-08)  
Dual Bounds
-8.00000001 (ANTIGONE)
-8.00000000 (BARON)
-8.00000000 (LINDO)
-8.00000000 (SCIP)
References Foulds, L. R., Haugland, D., and Jörnsten, K., A bilinear approach to the pooling problem, Optimization, 24:1-2, 1992, 165-180.
Alfaki, Mohammed and Haugland, Dag, Strong formulations for the pooling problem, Journal of Global Optimization, 56:3, 2013, 897-916.
Source Foulds3.gms from Standard Pooling Problem Instances
Application Pooling problem
Added to library 12 Sep 2017
Problem type QCP
#Variables 832
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 320
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 486
#Nonlinear Nonzeros in Objective 0
#Constraints 1091
#Linear Constraints 67
#Quadratic Constraints 1024
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 5252
#Nonlinear Nonzeros in Jacobian 2048
#Nonzeros in (Upper-Left) Hessian of Lagrangian 2048
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 16
Minimal blocksize in Hessian of Lagrangian 20
Maximal blocksize in Hessian of Lagrangian 20
Average blocksize in Hessian of Lagrangian 20.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       1092     1041        0       51        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        833      833        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       5739     3691     2048        0
*
*  Solve m using NLP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,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,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752
          ,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765
          ,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778
          ,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791
          ,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804
          ,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817
          ,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830
          ,x831,x832,x833;

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,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,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751
          ,x752,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764
          ,x765,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777
          ,x778,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790
          ,x791,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803
          ,x804,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816
          ,x817,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829
          ,x830,x831,x832,x833;

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;


e1..    objvar + 10*x322 + 9.5*x323 + 9*x324 + 8.5*x325 + 8*x326 + 7.5*x327
      + 7*x328 + 6.5*x329 + 6*x330 + 5.5*x331 + 5*x332 + 4.5*x333 + 4*x334
      + 3.5*x335 + 3*x336 + 2.5*x337 + 9*x338 + 8.5*x339 + 8*x340 + 7.5*x341
      + 7*x342 + 6.5*x343 + 6*x344 + 5.5*x345 + 5*x346 + 4.5*x347 + 4*x348
      + 3.5*x349 + 3*x350 + 2.5*x351 + 2*x352 + 1.5*x353 + 9*x354 + 8.5*x355
      + 8*x356 + 7.5*x357 + 7*x358 + 6.5*x359 + 6*x360 + 5.5*x361 + 5*x362
      + 4.5*x363 + 4*x364 + 3.5*x365 + 3*x366 + 2.5*x367 + 2*x368 + 1.5*x369
      + 8*x370 + 7.5*x371 + 7*x372 + 6.5*x373 + 6*x374 + 5.5*x375 + 5*x376
      + 4.5*x377 + 4*x378 + 3.5*x379 + 3*x380 + 2.5*x381 + 2*x382 + 1.5*x383
      + x384 + 0.5*x385 + 8*x386 + 7.5*x387 + 7*x388 + 6.5*x389 + 6*x390
      + 5.5*x391 + 5*x392 + 4.5*x393 + 4*x394 + 3.5*x395 + 3*x396 + 2.5*x397
      + 2*x398 + 1.5*x399 + x400 + 0.5*x401 + 8*x402 + 7.5*x403 + 7*x404
      + 6.5*x405 + 6*x406 + 5.5*x407 + 5*x408 + 4.5*x409 + 4*x410 + 3.5*x411
      + 3*x412 + 2.5*x413 + 2*x414 + 1.5*x415 + x416 + 0.5*x417 + 7*x418
      + 6.5*x419 + 6*x420 + 5.5*x421 + 5*x422 + 4.5*x423 + 4*x424 + 3.5*x425
      + 3*x426 + 2.5*x427 + 2*x428 + 1.5*x429 + x430 + 0.5*x431 - 0.5*x433
      + 7*x434 + 6.5*x435 + 6*x436 + 5.5*x437 + 5*x438 + 4.5*x439 + 4*x440
      + 3.5*x441 + 3*x442 + 2.5*x443 + 2*x444 + 1.5*x445 + x446 + 0.5*x447
      - 0.5*x449 + 7*x450 + 6.5*x451 + 6*x452 + 5.5*x453 + 5*x454 + 4.5*x455
      + 4*x456 + 3.5*x457 + 3*x458 + 2.5*x459 + 2*x460 + 1.5*x461 + x462
      + 0.5*x463 - 0.5*x465 + 7*x466 + 6.5*x467 + 6*x468 + 5.5*x469 + 5*x470
      + 4.5*x471 + 4*x472 + 3.5*x473 + 3*x474 + 2.5*x475 + 2*x476 + 1.5*x477
      + x478 + 0.5*x479 - 0.5*x481 + 6*x482 + 5.5*x483 + 5*x484 + 4.5*x485
      + 4*x486 + 3.5*x487 + 3*x488 + 2.5*x489 + 2*x490 + 1.5*x491 + x492
      + 0.5*x493 - 0.5*x495 - x496 - 1.5*x497 + 6*x498 + 5.5*x499 + 5*x500
      + 4.5*x501 + 4*x502 + 3.5*x503 + 3*x504 + 2.5*x505 + 2*x506 + 1.5*x507
      + x508 + 0.5*x509 - 0.5*x511 - x512 - 1.5*x513 + 6*x514 + 5.5*x515
      + 5*x516 + 4.5*x517 + 4*x518 + 3.5*x519 + 3*x520 + 2.5*x521 + 2*x522
      + 1.5*x523 + x524 + 0.5*x525 - 0.5*x527 - x528 - 1.5*x529 + 6*x530
      + 5.5*x531 + 5*x532 + 4.5*x533 + 4*x534 + 3.5*x535 + 3*x536 + 2.5*x537
      + 2*x538 + 1.5*x539 + x540 + 0.5*x541 - 0.5*x543 - x544 - 1.5*x545
      + 5*x546 + 4.5*x547 + 4*x548 + 3.5*x549 + 3*x550 + 2.5*x551 + 2*x552
      + 1.5*x553 + x554 + 0.5*x555 - 0.5*x557 - x558 - 1.5*x559 - 2*x560
      - 2.5*x561 + 5*x562 + 4.5*x563 + 4*x564 + 3.5*x565 + 3*x566 + 2.5*x567
      + 2*x568 + 1.5*x569 + x570 + 0.5*x571 - 0.5*x573 - x574 - 1.5*x575
      - 2*x576 - 2.5*x577 + 5*x578 + 4.5*x579 + 4*x580 + 3.5*x581 + 3*x582
      + 2.5*x583 + 2*x584 + 1.5*x585 + x586 + 0.5*x587 - 0.5*x589 - x590
      - 1.5*x591 - 2*x592 - 2.5*x593 + 5*x594 + 4.5*x595 + 4*x596 + 3.5*x597
      + 3*x598 + 2.5*x599 + 2*x600 + 1.5*x601 + x602 + 0.5*x603 - 0.5*x605
      - x606 - 1.5*x607 - 2*x608 - 2.5*x609 + 4*x610 + 3.5*x611 + 3*x612
      + 2.5*x613 + 2*x614 + 1.5*x615 + x616 + 0.5*x617 - 0.5*x619 - x620
      - 1.5*x621 - 2*x622 - 2.5*x623 - 3*x624 - 3.5*x625 + 4*x626 + 3.5*x627
      + 3*x628 + 2.5*x629 + 2*x630 + 1.5*x631 + x632 + 0.5*x633 - 0.5*x635
      - x636 - 1.5*x637 - 2*x638 - 2.5*x639 - 3*x640 - 3.5*x641 + 4*x642
      + 3.5*x643 + 3*x644 + 2.5*x645 + 2*x646 + 1.5*x647 + x648 + 0.5*x649
      - 0.5*x651 - x652 - 1.5*x653 - 2*x654 - 2.5*x655 - 3*x656 - 3.5*x657
      + 4*x658 + 3.5*x659 + 3*x660 + 2.5*x661 + 2*x662 + 1.5*x663 + x664
      + 0.5*x665 - 0.5*x667 - x668 - 1.5*x669 - 2*x670 - 2.5*x671 - 3*x672
      - 3.5*x673 + 3*x674 + 2.5*x675 + 2*x676 + 1.5*x677 + x678 + 0.5*x679
      - 0.5*x681 - x682 - 1.5*x683 - 2*x684 - 2.5*x685 - 3*x686 - 3.5*x687
      - 4*x688 - 4.5*x689 + 3*x690 + 2.5*x691 + 2*x692 + 1.5*x693 + x694
      + 0.5*x695 - 0.5*x697 - x698 - 1.5*x699 - 2*x700 - 2.5*x701 - 3*x702
      - 3.5*x703 - 4*x704 - 4.5*x705 + 3*x706 + 2.5*x707 + 2*x708 + 1.5*x709
      + x710 + 0.5*x711 - 0.5*x713 - x714 - 1.5*x715 - 2*x716 - 2.5*x717
      - 3*x718 - 3.5*x719 - 4*x720 - 4.5*x721 + 3*x722 + 2.5*x723 + 2*x724
      + 1.5*x725 + x726 + 0.5*x727 - 0.5*x729 - x730 - 1.5*x731 - 2*x732
      - 2.5*x733 - 3*x734 - 3.5*x735 - 4*x736 - 4.5*x737 + 2*x738 + 1.5*x739
      + x740 + 0.5*x741 - 0.5*x743 - x744 - 1.5*x745 - 2*x746 - 2.5*x747
      - 3*x748 - 3.5*x749 - 4*x750 - 4.5*x751 - 5*x752 - 5.5*x753 + 2*x754
      + 1.5*x755 + x756 + 0.5*x757 - 0.5*x759 - x760 - 1.5*x761 - 2*x762
      - 2.5*x763 - 3*x764 - 3.5*x765 - 4*x766 - 4.5*x767 - 5*x768 - 5.5*x769
      + 2*x770 + 1.5*x771 + x772 + 0.5*x773 - 0.5*x775 - x776 - 1.5*x777
      - 2*x778 - 2.5*x779 - 3*x780 - 3.5*x781 - 4*x782 - 4.5*x783 - 5*x784
      - 5.5*x785 + x786 + 0.5*x787 - 0.5*x789 - x790 - 1.5*x791 - 2*x792
      - 2.5*x793 - 3*x794 - 3.5*x795 - 4*x796 - 4.5*x797 - 5*x798 - 5.5*x799
      - 6*x800 - 6.5*x801 + x802 + 0.5*x803 - 0.5*x805 - x806 - 1.5*x807
      - 2*x808 - 2.5*x809 - 3*x810 - 3.5*x811 - 4*x812 - 4.5*x813 - 5*x814
      - 5.5*x815 - 6*x816 - 6.5*x817 - 0.5*x819 - x820 - 1.5*x821 - 2*x822
      - 2.5*x823 - 3*x824 - 3.5*x825 - 4*x826 - 4.5*x827 - 5*x828 - 5.5*x829
      - 6*x830 - 6.5*x831 - 7*x832 - 7.5*x833 =E= 0;

e2..    x322 + x323 + x324 + x325 + x326 + x327 + x328 + x329 + x330 + x331
      + x332 + x333 + x334 + x335 + x336 + x337 =L= 16;

e3..    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 =L= 16;

e4..    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 =L= 16;

e5..    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 =L= 16;

e6..    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 =L= 16;

e7..    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 =L= 16;

e8..    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 =L= 16;

e9..    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 =L= 16;

e10..    x738 + x739 + x740 + x741 + x742 + x743 + x744 + x745 + x746 + x747
       + x748 + x749 + x750 + x751 + x752 + x753 + x754 + x755 + x756 + x757
       + x758 + x759 + x760 + x761 + x762 + x763 + x764 + x765 + x766 + x767
       + x768 + x769 + x770 + x771 + x772 + x773 + x774 + x775 + x776 + x777
       + x778 + x779 + x780 + x781 + x782 + x783 + x784 + x785 =L= 16;

e11..    x786 + x787 + x788 + x789 + x790 + x791 + x792 + x793 + x794 + x795
       + x796 + x797 + x798 + x799 + x800 + x801 + x802 + x803 + x804 + x805
       + x806 + x807 + x808 + x809 + x810 + x811 + x812 + x813 + x814 + x815
       + x816 + x817 =L= 16;

e12..    x818 + x819 + x820 + x821 + x822 + x823 + x824 + x825 + x826 + x827
       + x828 + x829 + x830 + x831 + x832 + x833 =L= 16;

e13..    x674 + x675 + x676 + x677 + x678 + x679 + x680 + x681 + x682 + x683
       + x684 + x685 + x686 + x687 + x688 + x689 + x738 + x739 + x740 + x741
       + x742 + x743 + x744 + x745 + x746 + x747 + x748 + x749 + x750 + x751
       + x752 + x753 + x786 + x787 + x788 + x789 + x790 + x791 + x792 + x793
       + x794 + x795 + x796 + x797 + x798 + x799 + x800 + x801 + x818 + x819
       + x820 + x821 + x822 + x823 + x824 + x825 + x826 + x827 + x828 + x829
       + x830 + x831 + x832 + x833 =L= 16;

e14..    x610 + x611 + x612 + x613 + x614 + x615 + x616 + x617 + x618 + x619
       + x620 + x621 + x622 + x623 + x624 + x625 + x690 + x691 + x692 + x693
       + x694 + x695 + x696 + x697 + x698 + x699 + x700 + x701 + x702 + x703
       + x704 + x705 + x754 + x755 + x756 + x757 + x758 + x759 + x760 + x761
       + x762 + x763 + x764 + x765 + x766 + x767 + x768 + x769 + x802 + x803
       + x804 + x805 + x806 + x807 + x808 + x809 + x810 + x811 + x812 + x813
       + x814 + x815 + x816 + x817 =L= 16;

e15..    x546 + x547 + x548 + x549 + x550 + x551 + x552 + x553 + x554 + x555
       + x556 + x557 + x558 + x559 + x560 + x561 + x626 + x627 + x628 + x629
       + x630 + x631 + x632 + x633 + x634 + x635 + x636 + x637 + x638 + x639
       + x640 + x641 + x706 + x707 + x708 + x709 + x710 + x711 + x712 + x713
       + x714 + x715 + x716 + x717 + x718 + x719 + x720 + x721 + x770 + x771
       + x772 + x773 + x774 + x775 + x776 + x777 + x778 + x779 + x780 + x781
       + x782 + x783 + x784 + x785 =L= 16;

e16..    x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490 + x491
       + x492 + x493 + x494 + x495 + x496 + x497 + x562 + x563 + x564 + x565
       + x566 + x567 + x568 + x569 + x570 + x571 + x572 + x573 + x574 + x575
       + x576 + x577 + x642 + x643 + x644 + x645 + x646 + x647 + x648 + x649
       + x650 + x651 + x652 + x653 + x654 + x655 + x656 + x657 + x722 + x723
       + x724 + x725 + x726 + x727 + x728 + x729 + x730 + x731 + x732 + x733
       + x734 + x735 + x736 + x737 =L= 16;

e17..    x418 + x419 + x420 + x421 + x422 + x423 + x424 + x425 + x426 + x427
       + x428 + x429 + x430 + x431 + x432 + x433 + x498 + x499 + x500 + x501
       + x502 + x503 + x504 + x505 + x506 + x507 + x508 + x509 + x510 + x511
       + x512 + x513 + x578 + x579 + x580 + x581 + x582 + x583 + x584 + x585
       + x586 + x587 + x588 + x589 + x590 + x591 + x592 + x593 + x658 + x659
       + x660 + x661 + x662 + x663 + x664 + x665 + x666 + x667 + x668 + x669
       + x670 + x671 + x672 + x673 =L= 16;

e18..    x370 + x371 + x372 + x373 + x374 + x375 + x376 + x377 + x378 + x379
       + x380 + x381 + x382 + x383 + x384 + x385 + x434 + x435 + x436 + x437
       + x438 + x439 + x440 + x441 + x442 + x443 + x444 + x445 + x446 + x447
       + x448 + x449 + x514 + x515 + x516 + x517 + x518 + x519 + x520 + x521
       + x522 + x523 + x524 + x525 + x526 + x527 + x528 + x529 + x594 + x595
       + x596 + x597 + x598 + x599 + x600 + x601 + x602 + x603 + x604 + x605
       + x606 + x607 + x608 + x609 =L= 16;

e19..    x338 + x339 + x340 + x341 + x342 + x343 + x344 + x345 + x346 + x347
       + x348 + x349 + x350 + x351 + x352 + x353 + x386 + x387 + x388 + x389
       + x390 + x391 + x392 + x393 + x394 + x395 + x396 + x397 + x398 + x399
       + x400 + x401 + x450 + x451 + x452 + x453 + x454 + x455 + x456 + x457
       + x458 + x459 + x460 + x461 + x462 + x463 + x464 + x465 + x530 + x531
       + x532 + x533 + x534 + x535 + x536 + x537 + x538 + x539 + x540 + x541
       + x542 + x543 + x544 + x545 =L= 16;

e20..    x322 + x323 + x324 + x325 + x326 + x327 + x328 + x329 + x330 + x331
       + x332 + x333 + x334 + x335 + x336 + x337 + x354 + x355 + x356 + x357
       + x358 + x359 + x360 + x361 + x362 + x363 + x364 + x365 + x366 + x367
       + x368 + x369 + x402 + x403 + x404 + x405 + x406 + x407 + x408 + x409
       + x410 + x411 + x412 + x413 + x414 + x415 + x416 + x417 + x466 + x467
       + x468 + x469 + x470 + x471 + x472 + x473 + x474 + x475 + x476 + x477
       + x478 + x479 + x480 + x481 =L= 16;

e21..    x322 + x338 + x354 + x370 + x386 + x402 + x418 + x434 + x450 + x466
       + x482 + x498 + x514 + x530 + x546 + x562 + x578 + x594 + x610 + x626
       + x642 + x658 + x674 + x690 + x706 + x722 + x738 + x754 + x770 + x786
       + x802 + x818 =L= 1;

e22..    x323 + x339 + x355 + x371 + x387 + x403 + x419 + x435 + x451 + x467
       + x483 + x499 + x515 + x531 + x547 + x563 + x579 + x595 + x611 + x627
       + x643 + x659 + x675 + x691 + x707 + x723 + x739 + x755 + x771 + x787
       + x803 + x819 =L= 1;

e23..    x324 + x340 + x356 + x372 + x388 + x404 + x420 + x436 + x452 + x468
       + x484 + x500 + x516 + x532 + x548 + x564 + x580 + x596 + x612 + x628
       + x644 + x660 + x676 + x692 + x708 + x724 + x740 + x756 + x772 + x788
       + x804 + x820 =L= 1;

e24..    x325 + x341 + x357 + x373 + x389 + x405 + x421 + x437 + x453 + x469
       + x485 + x501 + x517 + x533 + x549 + x565 + x581 + x597 + x613 + x629
       + x645 + x661 + x677 + x693 + x709 + x725 + x741 + x757 + x773 + x789
       + x805 + x821 =L= 1;

e25..    x326 + x342 + x358 + x374 + x390 + x406 + x422 + x438 + x454 + x470
       + x486 + x502 + x518 + x534 + x550 + x566 + x582 + x598 + x614 + x630
       + x646 + x662 + x678 + x694 + x710 + x726 + x742 + x758 + x774 + x790
       + x806 + x822 =L= 1;

e26..    x327 + x343 + x359 + x375 + x391 + x407 + x423 + x439 + x455 + x471
       + x487 + x503 + x519 + x535 + x551 + x567 + x583 + x599 + x615 + x631
       + x647 + x663 + x679 + x695 + x711 + x727 + x743 + x759 + x775 + x791
       + x807 + x823 =L= 1;

e27..    x328 + x344 + x360 + x376 + x392 + x408 + x424 + x440 + x456 + x472
       + x488 + x504 + x520 + x536 + x552 + x568 + x584 + x600 + x616 + x632
       + x648 + x664 + x680 + x696 + x712 + x728 + x744 + x760 + x776 + x792
       + x808 + x824 =L= 1;

e28..    x329 + x345 + x361 + x377 + x393 + x409 + x425 + x441 + x457 + x473
       + x489 + x505 + x521 + x537 + x553 + x569 + x585 + x601 + x617 + x633
       + x649 + x665 + x681 + x697 + x713 + x729 + x745 + x761 + x777 + x793
       + x809 + x825 =L= 1;

e29..    x330 + x346 + x362 + x378 + x394 + x410 + x426 + x442 + x458 + x474
       + x490 + x506 + x522 + x538 + x554 + x570 + x586 + x602 + x618 + x634
       + x650 + x666 + x682 + x698 + x714 + x730 + x746 + x762 + x778 + x794
       + x810 + x826 =L= 1;

e30..    x331 + x347 + x363 + x379 + x395 + x411 + x427 + x443 + x459 + x475
       + x491 + x507 + x523 + x539 + x555 + x571 + x587 + x603 + x619 + x635
       + x651 + x667 + x683 + x699 + x715 + x731 + x747 + x763 + x779 + x795
       + x811 + x827 =L= 1;

e31..    x332 + x348 + x364 + x380 + x396 + x412 + x428 + x444 + x460 + x476
       + x492 + x508 + x524 + x540 + x556 + x572 + x588 + x604 + x620 + x636
       + x652 + x668 + x684 + x700 + x716 + x732 + x748 + x764 + x780 + x796
       + x812 + x828 =L= 1;

e32..    x333 + x349 + x365 + x381 + x397 + x413 + x429 + x445 + x461 + x477
       + x493 + x509 + x525 + x541 + x557 + x573 + x589 + x605 + x621 + x637
       + x653 + x669 + x685 + x701 + x717 + x733 + x749 + x765 + x781 + x797
       + x813 + x829 =L= 1;

e33..    x334 + x350 + x366 + x382 + x398 + x414 + x430 + x446 + x462 + x478
       + x494 + x510 + x526 + x542 + x558 + x574 + x590 + x606 + x622 + x638
       + x654 + x670 + x686 + x702 + x718 + x734 + x750 + x766 + x782 + x798
       + x814 + x830 =L= 1;

e34..    x335 + x351 + x367 + x383 + x399 + x415 + x431 + x447 + x463 + x479
       + x495 + x511 + x527 + x543 + x559 + x575 + x591 + x607 + x623 + x639
       + x655 + x671 + x687 + x703 + x719 + x735 + x751 + x767 + x783 + x799
       + x815 + x831 =L= 1;

e35..    x336 + x352 + x368 + x384 + x400 + x416 + x432 + x448 + x464 + x480
       + x496 + x512 + x528 + x544 + x560 + x576 + x592 + x608 + x624 + x640
       + x656 + x672 + x688 + x704 + x720 + x736 + x752 + x768 + x784 + x800
       + x816 + x832 =L= 1;

e36..    x337 + x353 + x369 + x385 + x401 + x417 + x433 + x449 + x465 + x481
       + x497 + x513 + x529 + x545 + x561 + x577 + x593 + x609 + x625 + x641
       + x657 + x673 + x689 + x705 + x721 + x737 + x753 + x769 + x785 + x801
       + x817 + x833 =L= 1;

e37..    0.95*x322 + 0.85*x338 + 0.85*x354 + 0.75*x370 + 0.75*x386 + 0.75*x402
       + 0.65*x418 + 0.65*x434 + 0.65*x450 + 0.65*x466 + 0.55*x482 + 0.55*x498
       + 0.55*x514 + 0.55*x530 + 0.45*x546 + 0.45*x562 + 0.45*x578 + 0.45*x594
       + 0.35*x610 + 0.35*x626 + 0.35*x642 + 0.35*x658 + 0.25*x674 + 0.25*x690
       + 0.25*x706 + 0.25*x722 + 0.15*x738 + 0.15*x754 + 0.15*x770 + 0.05*x786
       + 0.05*x802 - 0.05*x818 =L= 0;

e38..    0.9*x323 + 0.8*x339 + 0.8*x355 + 0.7*x371 + 0.7*x387 + 0.7*x403
       + 0.6*x419 + 0.6*x435 + 0.6*x451 + 0.6*x467 + 0.5*x483 + 0.5*x499
       + 0.5*x515 + 0.5*x531 + 0.4*x547 + 0.4*x563 + 0.4*x579 + 0.4*x595
       + 0.3*x611 + 0.3*x627 + 0.3*x643 + 0.3*x659 + 0.2*x675 + 0.2*x691
       + 0.2*x707 + 0.2*x723 + 0.0999999999999999*x739
       + 0.0999999999999999*x755 + 0.0999999999999999*x771 - 0.1*x819 =L= 0;

e39..    0.85*x324 + 0.75*x340 + 0.75*x356 + 0.65*x372 + 0.65*x388 + 0.65*x404
       + 0.55*x420 + 0.55*x436 + 0.55*x452 + 0.55*x468 + 0.45*x484 + 0.45*x500
       + 0.45*x516 + 0.45*x532 + 0.35*x548 + 0.35*x564 + 0.35*x580 + 0.35*x596
       + 0.25*x612 + 0.25*x628 + 0.25*x644 + 0.25*x660 + 0.15*x676 + 0.15*x692
       + 0.15*x708 + 0.15*x724 + 0.05*x740 + 0.05*x756 + 0.05*x772
       - 0.0499999999999998*x788 - 0.0499999999999998*x804 - 0.15*x820 =L= 0;

e40..    0.8*x325 + 0.7*x341 + 0.7*x357 + 0.6*x373 + 0.6*x389 + 0.6*x405
       + 0.5*x421 + 0.5*x437 + 0.5*x453 + 0.5*x469 + 0.4*x485 + 0.4*x501
       + 0.4*x517 + 0.4*x533 + 0.3*x549 + 0.3*x565 + 0.3*x581 + 0.3*x597
       + 0.2*x613 + 0.2*x629 + 0.2*x645 + 0.2*x661 + 0.1*x677 + 0.1*x693
       + 0.1*x709 + 0.1*x725 - 0.0999999999999999*x789
       - 0.0999999999999999*x805 - 0.2*x821 =L= 0;

e41..    0.75*x326 + 0.65*x342 + 0.65*x358 + 0.55*x374 + 0.55*x390 + 0.55*x406
       + 0.45*x422 + 0.45*x438 + 0.45*x454 + 0.45*x470 + 0.35*x486 + 0.35*x502
       + 0.35*x518 + 0.35*x534 + 0.25*x550 + 0.25*x566 + 0.25*x582 + 0.25*x598
       + 0.15*x614 + 0.15*x630 + 0.15*x646 + 0.15*x662 + 0.05*x678 + 0.05*x694
       + 0.05*x710 + 0.05*x726 - 0.05*x742 - 0.05*x758 - 0.05*x774 - 0.15*x790
       - 0.15*x806 - 0.25*x822 =L= 0;

e42..    0.7*x327 + 0.6*x343 + 0.6*x359 + 0.5*x375 + 0.5*x391 + 0.5*x407
       + 0.4*x423 + 0.4*x439 + 0.4*x455 + 0.4*x471 + 0.3*x487 + 0.3*x503
       + 0.3*x519 + 0.3*x535 + 0.2*x551 + 0.2*x567 + 0.2*x583 + 0.2*x599
       + 0.0999999999999999*x615 + 0.0999999999999999*x631
       + 0.0999999999999999*x647 + 0.0999999999999999*x663 - 0.1*x743
       - 0.1*x759 - 0.1*x775 - 0.2*x791 - 0.2*x807 - 0.3*x823 =L= 0;

e43..    0.65*x328 + 0.55*x344 + 0.55*x360 + 0.45*x376 + 0.45*x392 + 0.45*x408
       + 0.35*x424 + 0.35*x440 + 0.35*x456 + 0.35*x472 + 0.25*x488 + 0.25*x504
       + 0.25*x520 + 0.25*x536 + 0.15*x552 + 0.15*x568 + 0.15*x584 + 0.15*x600
       + 0.0499999999999998*x616 + 0.0499999999999998*x632
       + 0.0499999999999998*x648 + 0.0499999999999998*x664 - 0.05*x680
       - 0.05*x696 - 0.05*x712 - 0.05*x728 - 0.15*x744 - 0.15*x760 - 0.15*x776
       - 0.25*x792 - 0.25*x808 - 0.35*x824 =L= 0;

e44..    0.6*x329 + 0.5*x345 + 0.5*x361 + 0.4*x377 + 0.4*x393 + 0.4*x409
       + 0.3*x425 + 0.3*x441 + 0.3*x457 + 0.3*x473 + 0.2*x489 + 0.2*x505
       + 0.2*x521 + 0.2*x537 + 0.1*x553 + 0.1*x569 + 0.1*x585 + 0.1*x601
       - 0.0999999999999999*x681 - 0.0999999999999999*x697
       - 0.0999999999999999*x713 - 0.0999999999999999*x729 - 0.2*x745
       - 0.2*x761 - 0.2*x777 - 0.3*x793 - 0.3*x809 - 0.4*x825 =L= 0;

e45..    0.55*x330 + 0.45*x346 + 0.45*x362 + 0.35*x378 + 0.35*x394 + 0.35*x410
       + 0.25*x426 + 0.25*x442 + 0.25*x458 + 0.25*x474 + 0.15*x490 + 0.15*x506
       + 0.15*x522 + 0.15*x538 + 0.05*x554 + 0.05*x570 + 0.05*x586 + 0.05*x602
       - 0.05*x618 - 0.05*x634 - 0.05*x650 - 0.05*x666 - 0.15*x682 - 0.15*x698
       - 0.15*x714 - 0.15*x730 - 0.25*x746 - 0.25*x762 - 0.25*x778 - 0.35*x794
       - 0.35*x810 - 0.45*x826 =L= 0;

e46..    0.5*x331 + 0.4*x347 + 0.4*x363 + 0.3*x379 + 0.3*x395 + 0.3*x411
       + 0.2*x427 + 0.2*x443 + 0.2*x459 + 0.2*x475 + 0.1*x491 + 0.1*x507
       + 0.1*x523 + 0.1*x539 - 0.1*x619 - 0.1*x635 - 0.1*x651 - 0.1*x667
       - 0.2*x683 - 0.2*x699 - 0.2*x715 - 0.2*x731 - 0.3*x747 - 0.3*x763
       - 0.3*x779 - 0.4*x795 - 0.4*x811 - 0.5*x827 =L= 0;

e47..    0.45*x332 + 0.35*x348 + 0.35*x364 + 0.25*x380 + 0.25*x396 + 0.25*x412
       + 0.15*x428 + 0.15*x444 + 0.15*x460 + 0.15*x476 + 0.05*x492 + 0.05*x508
       + 0.05*x524 + 0.05*x540 - 0.05*x556 - 0.05*x572 - 0.05*x588 - 0.05*x604
       - 0.15*x620 - 0.15*x636 - 0.15*x652 - 0.15*x668 - 0.25*x684 - 0.25*x700
       - 0.25*x716 - 0.25*x732 - 0.35*x748 - 0.35*x764 - 0.35*x780 - 0.45*x796
       - 0.45*x812 - 0.55*x828 =L= 0;

e48..    0.4*x333 + 0.3*x349 + 0.3*x365 + 0.2*x381 + 0.2*x397 + 0.2*x413
       + 0.0999999999999999*x429 + 0.0999999999999999*x445
       + 0.0999999999999999*x461 + 0.0999999999999999*x477 - 0.1*x557
       - 0.1*x573 - 0.1*x589 - 0.1*x605 - 0.2*x621 - 0.2*x637 - 0.2*x653
       - 0.2*x669 - 0.3*x685 - 0.3*x701 - 0.3*x717 - 0.3*x733 - 0.4*x749
       - 0.4*x765 - 0.4*x781 - 0.5*x797 - 0.5*x813 - 0.6*x829 =L= 0;

e49..    0.35*x334 + 0.25*x350 + 0.25*x366 + 0.15*x382 + 0.15*x398 + 0.15*x414
       + 0.05*x430 + 0.05*x446 + 0.05*x462 + 0.05*x478
       - 0.0499999999999998*x494 - 0.0499999999999998*x510
       - 0.0499999999999998*x526 - 0.0499999999999998*x542 - 0.15*x558
       - 0.15*x574 - 0.15*x590 - 0.15*x606 - 0.25*x622 - 0.25*x638 - 0.25*x654
       - 0.25*x670 - 0.35*x686 - 0.35*x702 - 0.35*x718 - 0.35*x734 - 0.45*x750
       - 0.45*x766 - 0.45*x782 - 0.55*x798 - 0.55*x814 - 0.65*x830 =L= 0;

e50..    0.3*x335 + 0.2*x351 + 0.2*x367 + 0.1*x383 + 0.1*x399 + 0.1*x415
       - 0.0999999999999999*x495 - 0.0999999999999999*x511
       - 0.0999999999999999*x527 - 0.0999999999999999*x543 - 0.2*x559
       - 0.2*x575 - 0.2*x591 - 0.2*x607 - 0.3*x623 - 0.3*x639 - 0.3*x655
       - 0.3*x671 - 0.4*x687 - 0.4*x703 - 0.4*x719 - 0.4*x735 - 0.5*x751
       - 0.5*x767 - 0.5*x783 - 0.6*x799 - 0.6*x815 - 0.7*x831 =L= 0;

e51..    0.25*x336 + 0.15*x352 + 0.15*x368 + 0.05*x384 + 0.05*x400 + 0.05*x416
       - 0.05*x432 - 0.05*x448 - 0.05*x464 - 0.05*x480 - 0.15*x496 - 0.15*x512
       - 0.15*x528 - 0.15*x544 - 0.25*x560 - 0.25*x576 - 0.25*x592 - 0.25*x608
       - 0.35*x624 - 0.35*x640 - 0.35*x656 - 0.35*x672 - 0.45*x688 - 0.45*x704
       - 0.45*x720 - 0.45*x736 - 0.55*x752 - 0.55*x768 - 0.55*x784 - 0.65*x800
       - 0.65*x816 - 0.75*x832 =L= 0;

e52..    0.2*x337 + 0.0999999999999999*x353 + 0.0999999999999999*x369
       - 0.1*x433 - 0.1*x449 - 0.1*x465 - 0.1*x481 - 0.2*x497 - 0.2*x513
       - 0.2*x529 - 0.2*x545 - 0.3*x561 - 0.3*x577 - 0.3*x593 - 0.3*x609
       - 0.4*x625 - 0.4*x641 - 0.4*x657 - 0.4*x673 - 0.5*x689 - 0.5*x705
       - 0.5*x721 - 0.5*x737 - 0.6*x753 - 0.6*x769 - 0.6*x785 - 0.7*x801
       - 0.7*x817 - 0.8*x833 =L= 0;

e53..    x184 + x188 + x191 + x193 =E= 1;

e54..    x180 + x185 + x189 + x192 =E= 1;

e55..    x176 + x181 + x186 + x190 =E= 1;

e56..    x172 + x177 + x182 + x187 =E= 1;

e57..    x168 + x173 + x178 + x183 =E= 1;

e58..    x165 + x169 + x174 + x179 =E= 1;

e59..    x163 + x166 + x170 + x175 =E= 1;

e60..    x162 + x164 + x167 + x171 =E= 1;

e61..    x194 + x195 + x196 + x197 + x198 + x199 + x200 + x201 + x202 + x203
       + x204 + x205 + x206 + x207 + x208 + x209 =E= 1;

e62..    x210 + x211 + x212 + x213 + x214 + x215 + x216 + x217 + x218 + x219
       + x220 + x221 + x222 + x223 + x224 + x225 =E= 1;

e63..    x226 + x227 + x228 + x229 + x230 + x231 + x232 + x233 + x234 + x235
       + x236 + x237 + x238 + x239 + x240 + x241 =E= 1;

e64..    x242 + x243 + x244 + x245 + x246 + x247 + x248 + x249 + x250 + x251
       + x252 + x253 + x254 + x255 + x256 + x257 =E= 1;

e65..    x258 + x259 + x260 + x261 + x262 + x263 + x264 + x265 + x266 + x267
       + x268 + x269 + x270 + x271 + x272 + x273 =E= 1;

e66..    x274 + x275 + x276 + x277 + x278 + x279 + x280 + x281 + x282 + x283
       + x284 + x285 + x286 + x287 + x288 + x289 =E= 1;

e67..    x290 + x291 + x292 + x293 + x294 + x295 + x296 + x297 + x298 + x299
       + x300 + x301 + x302 + x303 + x304 + x305 =E= 1;

e68..    x306 + x307 + x308 + x309 + x310 + x311 + x312 + x313 + x314 + x315
       + x316 + x317 + x318 + x319 + x320 + x321 =E= 1;

e69.. -x162*x146 + x322 =E= 0;

e70.. -x162*x147 + x323 =E= 0;

e71.. -x162*x148 + x324 =E= 0;

e72.. -x162*x149 + x325 =E= 0;

e73.. -x162*x150 + x326 =E= 0;

e74.. -x162*x151 + x327 =E= 0;

e75.. -x162*x152 + x328 =E= 0;

e76.. -x162*x153 + x329 =E= 0;

e77.. -x162*x154 + x330 =E= 0;

e78.. -x162*x155 + x331 =E= 0;

e79.. -x162*x156 + x332 =E= 0;

e80.. -x162*x157 + x333 =E= 0;

e81.. -x162*x158 + x334 =E= 0;

e82.. -x162*x159 + x335 =E= 0;

e83.. -x162*x160 + x336 =E= 0;

e84.. -x162*x161 + x337 =E= 0;

e85.. -x163*x130 + x338 =E= 0;

e86.. -x163*x131 + x339 =E= 0;

e87.. -x163*x132 + x340 =E= 0;

e88.. -x163*x133 + x341 =E= 0;

e89.. -x163*x134 + x342 =E= 0;

e90.. -x163*x135 + x343 =E= 0;

e91.. -x163*x136 + x344 =E= 0;

e92.. -x163*x137 + x345 =E= 0;

e93.. -x163*x138 + x346 =E= 0;

e94.. -x163*x139 + x347 =E= 0;

e95.. -x163*x140 + x348 =E= 0;

e96.. -x163*x141 + x349 =E= 0;

e97.. -x163*x142 + x350 =E= 0;

e98.. -x163*x143 + x351 =E= 0;

e99.. -x163*x144 + x352 =E= 0;

e100.. -x163*x145 + x353 =E= 0;

e101.. -x164*x146 + x354 =E= 0;

e102.. -x164*x147 + x355 =E= 0;

e103.. -x164*x148 + x356 =E= 0;

e104.. -x164*x149 + x357 =E= 0;

e105.. -x164*x150 + x358 =E= 0;

e106.. -x164*x151 + x359 =E= 0;

e107.. -x164*x152 + x360 =E= 0;

e108.. -x164*x153 + x361 =E= 0;

e109.. -x164*x154 + x362 =E= 0;

e110.. -x164*x155 + x363 =E= 0;

e111.. -x164*x156 + x364 =E= 0;

e112.. -x164*x157 + x365 =E= 0;

e113.. -x164*x158 + x366 =E= 0;

e114.. -x164*x159 + x367 =E= 0;

e115.. -x164*x160 + x368 =E= 0;

e116.. -x164*x161 + x369 =E= 0;

e117.. -x165*x114 + x370 =E= 0;

e118.. -x165*x115 + x371 =E= 0;

e119.. -x165*x116 + x372 =E= 0;

e120.. -x165*x117 + x373 =E= 0;

e121.. -x165*x118 + x374 =E= 0;

e122.. -x165*x119 + x375 =E= 0;

e123.. -x165*x120 + x376 =E= 0;

e124.. -x165*x121 + x377 =E= 0;

e125.. -x165*x122 + x378 =E= 0;

e126.. -x165*x123 + x379 =E= 0;

e127.. -x165*x124 + x380 =E= 0;

e128.. -x165*x125 + x381 =E= 0;

e129.. -x165*x126 + x382 =E= 0;

e130.. -x165*x127 + x383 =E= 0;

e131.. -x165*x128 + x384 =E= 0;

e132.. -x165*x129 + x385 =E= 0;

e133.. -x166*x130 + x386 =E= 0;

e134.. -x166*x131 + x387 =E= 0;

e135.. -x166*x132 + x388 =E= 0;

e136.. -x166*x133 + x389 =E= 0;

e137.. -x166*x134 + x390 =E= 0;

e138.. -x166*x135 + x391 =E= 0;

e139.. -x166*x136 + x392 =E= 0;

e140.. -x166*x137 + x393 =E= 0;

e141.. -x166*x138 + x394 =E= 0;

e142.. -x166*x139 + x395 =E= 0;

e143.. -x166*x140 + x396 =E= 0;

e144.. -x166*x141 + x397 =E= 0;

e145.. -x166*x142 + x398 =E= 0;

e146.. -x166*x143 + x399 =E= 0;

e147.. -x166*x144 + x400 =E= 0;

e148.. -x166*x145 + x401 =E= 0;

e149.. -x167*x146 + x402 =E= 0;

e150.. -x167*x147 + x403 =E= 0;

e151.. -x167*x148 + x404 =E= 0;

e152.. -x167*x149 + x405 =E= 0;

e153.. -x167*x150 + x406 =E= 0;

e154.. -x167*x151 + x407 =E= 0;

e155.. -x167*x152 + x408 =E= 0;

e156.. -x167*x153 + x409 =E= 0;

e157.. -x167*x154 + x410 =E= 0;

e158.. -x167*x155 + x411 =E= 0;

e159.. -x167*x156 + x412 =E= 0;

e160.. -x167*x157 + x413 =E= 0;

e161.. -x167*x158 + x414 =E= 0;

e162.. -x167*x159 + x415 =E= 0;

e163.. -x167*x160 + x416 =E= 0;

e164.. -x167*x161 + x417 =E= 0;

e165.. -x168*x98 + x418 =E= 0;

e166.. -x168*x99 + x419 =E= 0;

e167.. -x168*x100 + x420 =E= 0;

e168.. -x168*x101 + x421 =E= 0;

e169.. -x168*x102 + x422 =E= 0;

e170.. -x168*x103 + x423 =E= 0;

e171.. -x168*x104 + x424 =E= 0;

e172.. -x168*x105 + x425 =E= 0;

e173.. -x168*x106 + x426 =E= 0;

e174.. -x168*x107 + x427 =E= 0;

e175.. -x168*x108 + x428 =E= 0;

e176.. -x168*x109 + x429 =E= 0;

e177.. -x168*x110 + x430 =E= 0;

e178.. -x168*x111 + x431 =E= 0;

e179.. -x168*x112 + x432 =E= 0;

e180.. -x168*x113 + x433 =E= 0;

e181.. -x169*x114 + x434 =E= 0;

e182.. -x169*x115 + x435 =E= 0;

e183.. -x169*x116 + x436 =E= 0;

e184.. -x169*x117 + x437 =E= 0;

e185.. -x169*x118 + x438 =E= 0;

e186.. -x169*x119 + x439 =E= 0;

e187.. -x169*x120 + x440 =E= 0;

e188.. -x169*x121 + x441 =E= 0;

e189.. -x169*x122 + x442 =E= 0;

e190.. -x169*x123 + x443 =E= 0;

e191.. -x169*x124 + x444 =E= 0;

e192.. -x169*x125 + x445 =E= 0;

e193.. -x169*x126 + x446 =E= 0;

e194.. -x169*x127 + x447 =E= 0;

e195.. -x169*x128 + x448 =E= 0;

e196.. -x169*x129 + x449 =E= 0;

e197.. -x170*x130 + x450 =E= 0;

e198.. -x170*x131 + x451 =E= 0;

e199.. -x170*x132 + x452 =E= 0;

e200.. -x170*x133 + x453 =E= 0;

e201.. -x170*x134 + x454 =E= 0;

e202.. -x170*x135 + x455 =E= 0;

e203.. -x170*x136 + x456 =E= 0;

e204.. -x170*x137 + x457 =E= 0;

e205.. -x170*x138 + x458 =E= 0;

e206.. -x170*x139 + x459 =E= 0;

e207.. -x170*x140 + x460 =E= 0;

e208.. -x170*x141 + x461 =E= 0;

e209.. -x170*x142 + x462 =E= 0;

e210.. -x170*x143 + x463 =E= 0;

e211.. -x170*x144 + x464 =E= 0;

e212.. -x170*x145 + x465 =E= 0;

e213.. -x171*x146 + x466 =E= 0;

e214.. -x171*x147 + x467 =E= 0;

e215.. -x171*x148 + x468 =E= 0;

e216.. -x171*x149 + x469 =E= 0;

e217.. -x171*x150 + x470 =E= 0;

e218.. -x171*x151 + x471 =E= 0;

e219.. -x171*x152 + x472 =E= 0;

e220.. -x171*x153 + x473 =E= 0;

e221.. -x171*x154 + x474 =E= 0;

e222.. -x171*x155 + x475 =E= 0;

e223.. -x171*x156 + x476 =E= 0;

e224.. -x171*x157 + x477 =E= 0;

e225.. -x171*x158 + x478 =E= 0;

e226.. -x171*x159 + x479 =E= 0;

e227.. -x171*x160 + x480 =E= 0;

e228.. -x171*x161 + x481 =E= 0;

e229.. -x172*x82 + x482 =E= 0;

e230.. -x172*x83 + x483 =E= 0;

e231.. -x172*x84 + x484 =E= 0;

e232.. -x172*x85 + x485 =E= 0;

e233.. -x172*x86 + x486 =E= 0;

e234.. -x172*x87 + x487 =E= 0;

e235.. -x172*x88 + x488 =E= 0;

e236.. -x172*x89 + x489 =E= 0;

e237.. -x172*x90 + x490 =E= 0;

e238.. -x172*x91 + x491 =E= 0;

e239.. -x172*x92 + x492 =E= 0;

e240.. -x172*x93 + x493 =E= 0;

e241.. -x172*x94 + x494 =E= 0;

e242.. -x172*x95 + x495 =E= 0;

e243.. -x172*x96 + x496 =E= 0;

e244.. -x172*x97 + x497 =E= 0;

e245.. -x173*x98 + x498 =E= 0;

e246.. -x173*x99 + x499 =E= 0;

e247.. -x173*x100 + x500 =E= 0;

e248.. -x173*x101 + x501 =E= 0;

e249.. -x173*x102 + x502 =E= 0;

e250.. -x173*x103 + x503 =E= 0;

e251.. -x173*x104 + x504 =E= 0;

e252.. -x173*x105 + x505 =E= 0;

e253.. -x173*x106 + x506 =E= 0;

e254.. -x173*x107 + x507 =E= 0;

e255.. -x173*x108 + x508 =E= 0;

e256.. -x173*x109 + x509 =E= 0;

e257.. -x173*x110 + x510 =E= 0;

e258.. -x173*x111 + x511 =E= 0;

e259.. -x173*x112 + x512 =E= 0;

e260.. -x173*x113 + x513 =E= 0;

e261.. -x174*x114 + x514 =E= 0;

e262.. -x174*x115 + x515 =E= 0;

e263.. -x174*x116 + x516 =E= 0;

e264.. -x174*x117 + x517 =E= 0;

e265.. -x174*x118 + x518 =E= 0;

e266.. -x174*x119 + x519 =E= 0;

e267.. -x174*x120 + x520 =E= 0;

e268.. -x174*x121 + x521 =E= 0;

e269.. -x174*x122 + x522 =E= 0;

e270.. -x174*x123 + x523 =E= 0;

e271.. -x174*x124 + x524 =E= 0;

e272.. -x174*x125 + x525 =E= 0;

e273.. -x174*x126 + x526 =E= 0;

e274.. -x174*x127 + x527 =E= 0;

e275.. -x174*x128 + x528 =E= 0;

e276.. -x174*x129 + x529 =E= 0;

e277.. -x175*x130 + x530 =E= 0;

e278.. -x175*x131 + x531 =E= 0;

e279.. -x175*x132 + x532 =E= 0;

e280.. -x175*x133 + x533 =E= 0;

e281.. -x175*x134 + x534 =E= 0;

e282.. -x175*x135 + x535 =E= 0;

e283.. -x175*x136 + x536 =E= 0;

e284.. -x175*x137 + x537 =E= 0;

e285.. -x175*x138 + x538 =E= 0;

e286.. -x175*x139 + x539 =E= 0;

e287.. -x175*x140 + x540 =E= 0;

e288.. -x175*x141 + x541 =E= 0;

e289.. -x175*x142 + x542 =E= 0;

e290.. -x175*x143 + x543 =E= 0;

e291.. -x175*x144 + x544 =E= 0;

e292.. -x175*x145 + x545 =E= 0;

e293.. -x176*x66 + x546 =E= 0;

e294.. -x176*x67 + x547 =E= 0;

e295.. -x176*x68 + x548 =E= 0;

e296.. -x176*x69 + x549 =E= 0;

e297.. -x176*x70 + x550 =E= 0;

e298.. -x176*x71 + x551 =E= 0;

e299.. -x176*x72 + x552 =E= 0;

e300.. -x176*x73 + x553 =E= 0;

e301.. -x176*x74 + x554 =E= 0;

e302.. -x176*x75 + x555 =E= 0;

e303.. -x176*x76 + x556 =E= 0;

e304.. -x176*x77 + x557 =E= 0;

e305.. -x176*x78 + x558 =E= 0;

e306.. -x176*x79 + x559 =E= 0;

e307.. -x176*x80 + x560 =E= 0;

e308.. -x176*x81 + x561 =E= 0;

e309.. -x177*x82 + x562 =E= 0;

e310.. -x177*x83 + x563 =E= 0;

e311.. -x177*x84 + x564 =E= 0;

e312.. -x177*x85 + x565 =E= 0;

e313.. -x177*x86 + x566 =E= 0;

e314.. -x177*x87 + x567 =E= 0;

e315.. -x177*x88 + x568 =E= 0;

e316.. -x177*x89 + x569 =E= 0;

e317.. -x177*x90 + x570 =E= 0;

e318.. -x177*x91 + x571 =E= 0;

e319.. -x177*x92 + x572 =E= 0;

e320.. -x177*x93 + x573 =E= 0;

e321.. -x177*x94 + x574 =E= 0;

e322.. -x177*x95 + x575 =E= 0;

e323.. -x177*x96 + x576 =E= 0;

e324.. -x177*x97 + x577 =E= 0;

e325.. -x178*x98 + x578 =E= 0;

e326.. -x178*x99 + x579 =E= 0;

e327.. -x178*x100 + x580 =E= 0;

e328.. -x178*x101 + x581 =E= 0;

e329.. -x178*x102 + x582 =E= 0;

e330.. -x178*x103 + x583 =E= 0;

e331.. -x178*x104 + x584 =E= 0;

e332.. -x178*x105 + x585 =E= 0;

e333.. -x178*x106 + x586 =E= 0;

e334.. -x178*x107 + x587 =E= 0;

e335.. -x178*x108 + x588 =E= 0;

e336.. -x178*x109 + x589 =E= 0;

e337.. -x178*x110 + x590 =E= 0;

e338.. -x178*x111 + x591 =E= 0;

e339.. -x178*x112 + x592 =E= 0;

e340.. -x178*x113 + x593 =E= 0;

e341.. -x179*x114 + x594 =E= 0;

e342.. -x179*x115 + x595 =E= 0;

e343.. -x179*x116 + x596 =E= 0;

e344.. -x179*x117 + x597 =E= 0;

e345.. -x179*x118 + x598 =E= 0;

e346.. -x179*x119 + x599 =E= 0;

e347.. -x179*x120 + x600 =E= 0;

e348.. -x179*x121 + x601 =E= 0;

e349.. -x179*x122 + x602 =E= 0;

e350.. -x179*x123 + x603 =E= 0;

e351.. -x179*x124 + x604 =E= 0;

e352.. -x179*x125 + x605 =E= 0;

e353.. -x179*x126 + x606 =E= 0;

e354.. -x179*x127 + x607 =E= 0;

e355.. -x179*x128 + x608 =E= 0;

e356.. -x179*x129 + x609 =E= 0;

e357.. -x180*x50 + x610 =E= 0;

e358.. -x180*x51 + x611 =E= 0;

e359.. -x180*x52 + x612 =E= 0;

e360.. -x180*x53 + x613 =E= 0;

e361.. -x180*x54 + x614 =E= 0;

e362.. -x180*x55 + x615 =E= 0;

e363.. -x180*x56 + x616 =E= 0;

e364.. -x180*x57 + x617 =E= 0;

e365.. -x180*x58 + x618 =E= 0;

e366.. -x180*x59 + x619 =E= 0;

e367.. -x180*x60 + x620 =E= 0;

e368.. -x180*x61 + x621 =E= 0;

e369.. -x180*x62 + x622 =E= 0;

e370.. -x180*x63 + x623 =E= 0;

e371.. -x180*x64 + x624 =E= 0;

e372.. -x180*x65 + x625 =E= 0;

e373.. -x181*x66 + x626 =E= 0;

e374.. -x181*x67 + x627 =E= 0;

e375.. -x181*x68 + x628 =E= 0;

e376.. -x181*x69 + x629 =E= 0;

e377.. -x181*x70 + x630 =E= 0;

e378.. -x181*x71 + x631 =E= 0;

e379.. -x181*x72 + x632 =E= 0;

e380.. -x181*x73 + x633 =E= 0;

e381.. -x181*x74 + x634 =E= 0;

e382.. -x181*x75 + x635 =E= 0;

e383.. -x181*x76 + x636 =E= 0;

e384.. -x181*x77 + x637 =E= 0;

e385.. -x181*x78 + x638 =E= 0;

e386.. -x181*x79 + x639 =E= 0;

e387.. -x181*x80 + x640 =E= 0;

e388.. -x181*x81 + x641 =E= 0;

e389.. -x182*x82 + x642 =E= 0;

e390.. -x182*x83 + x643 =E= 0;

e391.. -x182*x84 + x644 =E= 0;

e392.. -x182*x85 + x645 =E= 0;

e393.. -x182*x86 + x646 =E= 0;

e394.. -x182*x87 + x647 =E= 0;

e395.. -x182*x88 + x648 =E= 0;

e396.. -x182*x89 + x649 =E= 0;

e397.. -x182*x90 + x650 =E= 0;

e398.. -x182*x91 + x651 =E= 0;

e399.. -x182*x92 + x652 =E= 0;

e400.. -x182*x93 + x653 =E= 0;

e401.. -x182*x94 + x654 =E= 0;

e402.. -x182*x95 + x655 =E= 0;

e403.. -x182*x96 + x656 =E= 0;

e404.. -x182*x97 + x657 =E= 0;

e405.. -x183*x98 + x658 =E= 0;

e406.. -x183*x99 + x659 =E= 0;

e407.. -x183*x100 + x660 =E= 0;

e408.. -x183*x101 + x661 =E= 0;

e409.. -x183*x102 + x662 =E= 0;

e410.. -x183*x103 + x663 =E= 0;

e411.. -x183*x104 + x664 =E= 0;

e412.. -x183*x105 + x665 =E= 0;

e413.. -x183*x106 + x666 =E= 0;

e414.. -x183*x107 + x667 =E= 0;

e415.. -x183*x108 + x668 =E= 0;

e416.. -x183*x109 + x669 =E= 0;

e417.. -x183*x110 + x670 =E= 0;

e418.. -x183*x111 + x671 =E= 0;

e419.. -x183*x112 + x672 =E= 0;

e420.. -x183*x113 + x673 =E= 0;

e421.. -x184*x34 + x674 =E= 0;

e422.. -x184*x35 + x675 =E= 0;

e423.. -x184*x36 + x676 =E= 0;

e424.. -x184*x37 + x677 =E= 0;

e425.. -x184*x38 + x678 =E= 0;

e426.. -x184*x39 + x679 =E= 0;

e427.. -x184*x40 + x680 =E= 0;

e428.. -x184*x41 + x681 =E= 0;

e429.. -x184*x42 + x682 =E= 0;

e430.. -x184*x43 + x683 =E= 0;

e431.. -x184*x44 + x684 =E= 0;

e432.. -x184*x45 + x685 =E= 0;

e433.. -x184*x46 + x686 =E= 0;

e434.. -x184*x47 + x687 =E= 0;

e435.. -x184*x48 + x688 =E= 0;

e436.. -x184*x49 + x689 =E= 0;

e437.. -x185*x50 + x690 =E= 0;

e438.. -x185*x51 + x691 =E= 0;

e439.. -x185*x52 + x692 =E= 0;

e440.. -x185*x53 + x693 =E= 0;

e441.. -x185*x54 + x694 =E= 0;

e442.. -x185*x55 + x695 =E= 0;

e443.. -x185*x56 + x696 =E= 0;

e444.. -x185*x57 + x697 =E= 0;

e445.. -x185*x58 + x698 =E= 0;

e446.. -x185*x59 + x699 =E= 0;

e447.. -x185*x60 + x700 =E= 0;

e448.. -x185*x61 + x701 =E= 0;

e449.. -x185*x62 + x702 =E= 0;

e450.. -x185*x63 + x703 =E= 0;

e451.. -x185*x64 + x704 =E= 0;

e452.. -x185*x65 + x705 =E= 0;

e453.. -x186*x66 + x706 =E= 0;

e454.. -x186*x67 + x707 =E= 0;

e455.. -x186*x68 + x708 =E= 0;

e456.. -x186*x69 + x709 =E= 0;

e457.. -x186*x70 + x710 =E= 0;

e458.. -x186*x71 + x711 =E= 0;

e459.. -x186*x72 + x712 =E= 0;

e460.. -x186*x73 + x713 =E= 0;

e461.. -x186*x74 + x714 =E= 0;

e462.. -x186*x75 + x715 =E= 0;

e463.. -x186*x76 + x716 =E= 0;

e464.. -x186*x77 + x717 =E= 0;

e465.. -x186*x78 + x718 =E= 0;

e466.. -x186*x79 + x719 =E= 0;

e467.. -x186*x80 + x720 =E= 0;

e468.. -x186*x81 + x721 =E= 0;

e469.. -x187*x82 + x722 =E= 0;

e470.. -x187*x83 + x723 =E= 0;

e471.. -x187*x84 + x724 =E= 0;

e472.. -x187*x85 + x725 =E= 0;

e473.. -x187*x86 + x726 =E= 0;

e474.. -x187*x87 + x727 =E= 0;

e475.. -x187*x88 + x728 =E= 0;

e476.. -x187*x89 + x729 =E= 0;

e477.. -x187*x90 + x730 =E= 0;

e478.. -x187*x91 + x731 =E= 0;

e479.. -x187*x92 + x732 =E= 0;

e480.. -x187*x93 + x733 =E= 0;

e481.. -x187*x94 + x734 =E= 0;

e482.. -x187*x95 + x735 =E= 0;

e483.. -x187*x96 + x736 =E= 0;

e484.. -x187*x97 + x737 =E= 0;

e485.. -x188*x34 + x738 =E= 0;

e486.. -x188*x35 + x739 =E= 0;

e487.. -x188*x36 + x740 =E= 0;

e488.. -x188*x37 + x741 =E= 0;

e489.. -x188*x38 + x742 =E= 0;

e490.. -x188*x39 + x743 =E= 0;

e491.. -x188*x40 + x744 =E= 0;

e492.. -x188*x41 + x745 =E= 0;

e493.. -x188*x42 + x746 =E= 0;

e494.. -x188*x43 + x747 =E= 0;

e495.. -x188*x44 + x748 =E= 0;

e496.. -x188*x45 + x749 =E= 0;

e497.. -x188*x46 + x750 =E= 0;

e498.. -x188*x47 + x751 =E= 0;

e499.. -x188*x48 + x752 =E= 0;

e500.. -x188*x49 + x753 =E= 0;

e501.. -x189*x50 + x754 =E= 0;

e502.. -x189*x51 + x755 =E= 0;

e503.. -x189*x52 + x756 =E= 0;

e504.. -x189*x53 + x757 =E= 0;

e505.. -x189*x54 + x758 =E= 0;

e506.. -x189*x55 + x759 =E= 0;

e507.. -x189*x56 + x760 =E= 0;

e508.. -x189*x57 + x761 =E= 0;

e509.. -x189*x58 + x762 =E= 0;

e510.. -x189*x59 + x763 =E= 0;

e511.. -x189*x60 + x764 =E= 0;

e512.. -x189*x61 + x765 =E= 0;

e513.. -x189*x62 + x766 =E= 0;

e514.. -x189*x63 + x767 =E= 0;

e515.. -x189*x64 + x768 =E= 0;

e516.. -x189*x65 + x769 =E= 0;

e517.. -x190*x66 + x770 =E= 0;

e518.. -x190*x67 + x771 =E= 0;

e519.. -x190*x68 + x772 =E= 0;

e520.. -x190*x69 + x773 =E= 0;

e521.. -x190*x70 + x774 =E= 0;

e522.. -x190*x71 + x775 =E= 0;

e523.. -x190*x72 + x776 =E= 0;

e524.. -x190*x73 + x777 =E= 0;

e525.. -x190*x74 + x778 =E= 0;

e526.. -x190*x75 + x779 =E= 0;

e527.. -x190*x76 + x780 =E= 0;

e528.. -x190*x77 + x781 =E= 0;

e529.. -x190*x78 + x782 =E= 0;

e530.. -x190*x79 + x783 =E= 0;

e531.. -x190*x80 + x784 =E= 0;

e532.. -x190*x81 + x785 =E= 0;

e533.. -x191*x34 + x786 =E= 0;

e534.. -x191*x35 + x787 =E= 0;

e535.. -x191*x36 + x788 =E= 0;

e536.. -x191*x37 + x789 =E= 0;

e537.. -x191*x38 + x790 =E= 0;

e538.. -x191*x39 + x791 =E= 0;

e539.. -x191*x40 + x792 =E= 0;

e540.. -x191*x41 + x793 =E= 0;

e541.. -x191*x42 + x794 =E= 0;

e542.. -x191*x43 + x795 =E= 0;

e543.. -x191*x44 + x796 =E= 0;

e544.. -x191*x45 + x797 =E= 0;

e545.. -x191*x46 + x798 =E= 0;

e546.. -x191*x47 + x799 =E= 0;

e547.. -x191*x48 + x800 =E= 0;

e548.. -x191*x49 + x801 =E= 0;

e549.. -x192*x50 + x802 =E= 0;

e550.. -x192*x51 + x803 =E= 0;

e551.. -x192*x52 + x804 =E= 0;

e552.. -x192*x53 + x805 =E= 0;

e553.. -x192*x54 + x806 =E= 0;

e554.. -x192*x55 + x807 =E= 0;

e555.. -x192*x56 + x808 =E= 0;

e556.. -x192*x57 + x809 =E= 0;

e557.. -x192*x58 + x810 =E= 0;

e558.. -x192*x59 + x811 =E= 0;

e559.. -x192*x60 + x812 =E= 0;

e560.. -x192*x61 + x813 =E= 0;

e561.. -x192*x62 + x814 =E= 0;

e562.. -x192*x63 + x815 =E= 0;

e563.. -x192*x64 + x816 =E= 0;

e564.. -x192*x65 + x817 =E= 0;

e565.. -x193*x34 + x818 =E= 0;

e566.. -x193*x35 + x819 =E= 0;

e567.. -x193*x36 + x820 =E= 0;

e568.. -x193*x37 + x821 =E= 0;

e569.. -x193*x38 + x822 =E= 0;

e570.. -x193*x39 + x823 =E= 0;

e571.. -x193*x40 + x824 =E= 0;

e572.. -x193*x41 + x825 =E= 0;

e573.. -x193*x42 + x826 =E= 0;

e574.. -x193*x43 + x827 =E= 0;

e575.. -x193*x44 + x828 =E= 0;

e576.. -x193*x45 + x829 =E= 0;

e577.. -x193*x46 + x830 =E= 0;

e578.. -x193*x47 + x831 =E= 0;

e579.. -x193*x48 + x832 =E= 0;

e580.. -x193*x49 + x833 =E= 0;

e581.. -x306*x2 + x322 =E= 0;

e582.. -x307*x2 + x323 =E= 0;

e583.. -x308*x2 + x324 =E= 0;

e584.. -x309*x2 + x325 =E= 0;

e585.. -x310*x2 + x326 =E= 0;

e586.. -x311*x2 + x327 =E= 0;

e587.. -x312*x2 + x328 =E= 0;

e588.. -x313*x2 + x329 =E= 0;

e589.. -x314*x2 + x330 =E= 0;

e590.. -x315*x2 + x331 =E= 0;

e591.. -x316*x2 + x332 =E= 0;

e592.. -x317*x2 + x333 =E= 0;

e593.. -x318*x2 + x334 =E= 0;

e594.. -x319*x2 + x335 =E= 0;

e595.. -x320*x2 + x336 =E= 0;

e596.. -x321*x2 + x337 =E= 0;

e597.. -x290*x3 + x338 =E= 0;

e598.. -x291*x3 + x339 =E= 0;

e599.. -x292*x3 + x340 =E= 0;

e600.. -x293*x3 + x341 =E= 0;

e601.. -x294*x3 + x342 =E= 0;

e602.. -x295*x3 + x343 =E= 0;

e603.. -x296*x3 + x344 =E= 0;

e604.. -x297*x3 + x345 =E= 0;

e605.. -x298*x3 + x346 =E= 0;

e606.. -x299*x3 + x347 =E= 0;

e607.. -x300*x3 + x348 =E= 0;

e608.. -x301*x3 + x349 =E= 0;

e609.. -x302*x3 + x350 =E= 0;

e610.. -x303*x3 + x351 =E= 0;

e611.. -x304*x3 + x352 =E= 0;

e612.. -x305*x3 + x353 =E= 0;

e613.. -x306*x4 + x354 =E= 0;

e614.. -x307*x4 + x355 =E= 0;

e615.. -x308*x4 + x356 =E= 0;

e616.. -x309*x4 + x357 =E= 0;

e617.. -x310*x4 + x358 =E= 0;

e618.. -x311*x4 + x359 =E= 0;

e619.. -x312*x4 + x360 =E= 0;

e620.. -x313*x4 + x361 =E= 0;

e621.. -x314*x4 + x362 =E= 0;

e622.. -x315*x4 + x363 =E= 0;

e623.. -x316*x4 + x364 =E= 0;

e624.. -x317*x4 + x365 =E= 0;

e625.. -x318*x4 + x366 =E= 0;

e626.. -x319*x4 + x367 =E= 0;

e627.. -x320*x4 + x368 =E= 0;

e628.. -x321*x4 + x369 =E= 0;

e629.. -x274*x5 + x370 =E= 0;

e630.. -x275*x5 + x371 =E= 0;

e631.. -x276*x5 + x372 =E= 0;

e632.. -x277*x5 + x373 =E= 0;

e633.. -x278*x5 + x374 =E= 0;

e634.. -x279*x5 + x375 =E= 0;

e635.. -x280*x5 + x376 =E= 0;

e636.. -x281*x5 + x377 =E= 0;

e637.. -x282*x5 + x378 =E= 0;

e638.. -x283*x5 + x379 =E= 0;

e639.. -x284*x5 + x380 =E= 0;

e640.. -x285*x5 + x381 =E= 0;

e641.. -x286*x5 + x382 =E= 0;

e642.. -x287*x5 + x383 =E= 0;

e643.. -x288*x5 + x384 =E= 0;

e644.. -x289*x5 + x385 =E= 0;

e645.. -x290*x6 + x386 =E= 0;

e646.. -x291*x6 + x387 =E= 0;

e647.. -x292*x6 + x388 =E= 0;

e648.. -x293*x6 + x389 =E= 0;

e649.. -x294*x6 + x390 =E= 0;

e650.. -x295*x6 + x391 =E= 0;

e651.. -x296*x6 + x392 =E= 0;

e652.. -x297*x6 + x393 =E= 0;

e653.. -x298*x6 + x394 =E= 0;

e654.. -x299*x6 + x395 =E= 0;

e655.. -x300*x6 + x396 =E= 0;

e656.. -x301*x6 + x397 =E= 0;

e657.. -x302*x6 + x398 =E= 0;

e658.. -x303*x6 + x399 =E= 0;

e659.. -x304*x6 + x400 =E= 0;

e660.. -x305*x6 + x401 =E= 0;

e661.. -x306*x7 + x402 =E= 0;

e662.. -x307*x7 + x403 =E= 0;

e663.. -x308*x7 + x404 =E= 0;

e664.. -x309*x7 + x405 =E= 0;

e665.. -x310*x7 + x406 =E= 0;

e666.. -x311*x7 + x407 =E= 0;

e667.. -x312*x7 + x408 =E= 0;

e668.. -x313*x7 + x409 =E= 0;

e669.. -x314*x7 + x410 =E= 0;

e670.. -x315*x7 + x411 =E= 0;

e671.. -x316*x7 + x412 =E= 0;

e672.. -x317*x7 + x413 =E= 0;

e673.. -x318*x7 + x414 =E= 0;

e674.. -x319*x7 + x415 =E= 0;

e675.. -x320*x7 + x416 =E= 0;

e676.. -x321*x7 + x417 =E= 0;

e677.. -x258*x8 + x418 =E= 0;

e678.. -x259*x8 + x419 =E= 0;

e679.. -x260*x8 + x420 =E= 0;

e680.. -x261*x8 + x421 =E= 0;

e681.. -x262*x8 + x422 =E= 0;

e682.. -x263*x8 + x423 =E= 0;

e683.. -x264*x8 + x424 =E= 0;

e684.. -x265*x8 + x425 =E= 0;

e685.. -x266*x8 + x426 =E= 0;

e686.. -x267*x8 + x427 =E= 0;

e687.. -x268*x8 + x428 =E= 0;

e688.. -x269*x8 + x429 =E= 0;

e689.. -x270*x8 + x430 =E= 0;

e690.. -x271*x8 + x431 =E= 0;

e691.. -x272*x8 + x432 =E= 0;

e692.. -x273*x8 + x433 =E= 0;

e693.. -x274*x9 + x434 =E= 0;

e694.. -x275*x9 + x435 =E= 0;

e695.. -x276*x9 + x436 =E= 0;

e696.. -x277*x9 + x437 =E= 0;

e697.. -x278*x9 + x438 =E= 0;

e698.. -x279*x9 + x439 =E= 0;

e699.. -x280*x9 + x440 =E= 0;

e700.. -x281*x9 + x441 =E= 0;

e701.. -x282*x9 + x442 =E= 0;

e702.. -x283*x9 + x443 =E= 0;

e703.. -x284*x9 + x444 =E= 0;

e704.. -x285*x9 + x445 =E= 0;

e705.. -x286*x9 + x446 =E= 0;

e706.. -x287*x9 + x447 =E= 0;

e707.. -x288*x9 + x448 =E= 0;

e708.. -x289*x9 + x449 =E= 0;

e709.. -x290*x10 + x450 =E= 0;

e710.. -x291*x10 + x451 =E= 0;

e711.. -x292*x10 + x452 =E= 0;

e712.. -x293*x10 + x453 =E= 0;

e713.. -x294*x10 + x454 =E= 0;

e714.. -x295*x10 + x455 =E= 0;

e715.. -x296*x10 + x456 =E= 0;

e716.. -x297*x10 + x457 =E= 0;

e717.. -x298*x10 + x458 =E= 0;

e718.. -x299*x10 + x459 =E= 0;

e719.. -x300*x10 + x460 =E= 0;

e720.. -x301*x10 + x461 =E= 0;

e721.. -x302*x10 + x462 =E= 0;

e722.. -x303*x10 + x463 =E= 0;

e723.. -x304*x10 + x464 =E= 0;

e724.. -x305*x10 + x465 =E= 0;

e725.. -x306*x11 + x466 =E= 0;

e726.. -x307*x11 + x467 =E= 0;

e727.. -x308*x11 + x468 =E= 0;

e728.. -x309*x11 + x469 =E= 0;

e729.. -x310*x11 + x470 =E= 0;

e730.. -x311*x11 + x471 =E= 0;

e731.. -x312*x11 + x472 =E= 0;

e732.. -x313*x11 + x473 =E= 0;

e733.. -x314*x11 + x474 =E= 0;

e734.. -x315*x11 + x475 =E= 0;

e735.. -x316*x11 + x476 =E= 0;

e736.. -x317*x11 + x477 =E= 0;

e737.. -x318*x11 + x478 =E= 0;

e738.. -x319*x11 + x479 =E= 0;

e739.. -x320*x11 + x480 =E= 0;

e740.. -x321*x11 + x481 =E= 0;

e741.. -x242*x12 + x482 =E= 0;

e742.. -x243*x12 + x483 =E= 0;

e743.. -x244*x12 + x484 =E= 0;

e744.. -x245*x12 + x485 =E= 0;

e745.. -x246*x12 + x486 =E= 0;

e746.. -x247*x12 + x487 =E= 0;

e747.. -x248*x12 + x488 =E= 0;

e748.. -x249*x12 + x489 =E= 0;

e749.. -x250*x12 + x490 =E= 0;

e750.. -x251*x12 + x491 =E= 0;

e751.. -x252*x12 + x492 =E= 0;

e752.. -x253*x12 + x493 =E= 0;

e753.. -x254*x12 + x494 =E= 0;

e754.. -x255*x12 + x495 =E= 0;

e755.. -x256*x12 + x496 =E= 0;

e756.. -x257*x12 + x497 =E= 0;

e757.. -x258*x13 + x498 =E= 0;

e758.. -x259*x13 + x499 =E= 0;

e759.. -x260*x13 + x500 =E= 0;

e760.. -x261*x13 + x501 =E= 0;

e761.. -x262*x13 + x502 =E= 0;

e762.. -x263*x13 + x503 =E= 0;

e763.. -x264*x13 + x504 =E= 0;

e764.. -x265*x13 + x505 =E= 0;

e765.. -x266*x13 + x506 =E= 0;

e766.. -x267*x13 + x507 =E= 0;

e767.. -x268*x13 + x508 =E= 0;

e768.. -x269*x13 + x509 =E= 0;

e769.. -x270*x13 + x510 =E= 0;

e770.. -x271*x13 + x511 =E= 0;

e771.. -x272*x13 + x512 =E= 0;

e772.. -x273*x13 + x513 =E= 0;

e773.. -x274*x14 + x514 =E= 0;

e774.. -x275*x14 + x515 =E= 0;

e775.. -x276*x14 + x516 =E= 0;

e776.. -x277*x14 + x517 =E= 0;

e777.. -x278*x14 + x518 =E= 0;

e778.. -x279*x14 + x519 =E= 0;

e779.. -x280*x14 + x520 =E= 0;

e780.. -x281*x14 + x521 =E= 0;

e781.. -x282*x14 + x522 =E= 0;

e782.. -x283*x14 + x523 =E= 0;

e783.. -x284*x14 + x524 =E= 0;

e784.. -x285*x14 + x525 =E= 0;

e785.. -x286*x14 + x526 =E= 0;

e786.. -x287*x14 + x527 =E= 0;

e787.. -x288*x14 + x528 =E= 0;

e788.. -x289*x14 + x529 =E= 0;

e789.. -x290*x15 + x530 =E= 0;

e790.. -x291*x15 + x531 =E= 0;

e791.. -x292*x15 + x532 =E= 0;

e792.. -x293*x15 + x533 =E= 0;

e793.. -x294*x15 + x534 =E= 0;

e794.. -x295*x15 + x535 =E= 0;

e795.. -x296*x15 + x536 =E= 0;

e796.. -x297*x15 + x537 =E= 0;

e797.. -x298*x15 + x538 =E= 0;

e798.. -x299*x15 + x539 =E= 0;

e799.. -x300*x15 + x540 =E= 0;

e800.. -x301*x15 + x541 =E= 0;

e801.. -x302*x15 + x542 =E= 0;

e802.. -x303*x15 + x543 =E= 0;

e803.. -x304*x15 + x544 =E= 0;

e804.. -x305*x15 + x545 =E= 0;

e805.. -x226*x16 + x546 =E= 0;

e806.. -x227*x16 + x547 =E= 0;

e807.. -x228*x16 + x548 =E= 0;

e808.. -x229*x16 + x549 =E= 0;

e809.. -x230*x16 + x550 =E= 0;

e810.. -x231*x16 + x551 =E= 0;

e811.. -x232*x16 + x552 =E= 0;

e812.. -x233*x16 + x553 =E= 0;

e813.. -x234*x16 + x554 =E= 0;

e814.. -x235*x16 + x555 =E= 0;

e815.. -x236*x16 + x556 =E= 0;

e816.. -x237*x16 + x557 =E= 0;

e817.. -x238*x16 + x558 =E= 0;

e818.. -x239*x16 + x559 =E= 0;

e819.. -x240*x16 + x560 =E= 0;

e820.. -x241*x16 + x561 =E= 0;

e821.. -x242*x17 + x562 =E= 0;

e822.. -x243*x17 + x563 =E= 0;

e823.. -x244*x17 + x564 =E= 0;

e824.. -x245*x17 + x565 =E= 0;

e825.. -x246*x17 + x566 =E= 0;

e826.. -x247*x17 + x567 =E= 0;

e827.. -x248*x17 + x568 =E= 0;

e828.. -x249*x17 + x569 =E= 0;

e829.. -x250*x17 + x570 =E= 0;

e830.. -x251*x17 + x571 =E= 0;

e831.. -x252*x17 + x572 =E= 0;

e832.. -x253*x17 + x573 =E= 0;

e833.. -x254*x17 + x574 =E= 0;

e834.. -x255*x17 + x575 =E= 0;

e835.. -x256*x17 + x576 =E= 0;

e836.. -x257*x17 + x577 =E= 0;

e837.. -x258*x18 + x578 =E= 0;

e838.. -x259*x18 + x579 =E= 0;

e839.. -x260*x18 + x580 =E= 0;

e840.. -x261*x18 + x581 =E= 0;

e841.. -x262*x18 + x582 =E= 0;

e842.. -x263*x18 + x583 =E= 0;

e843.. -x264*x18 + x584 =E= 0;

e844.. -x265*x18 + x585 =E= 0;

e845.. -x266*x18 + x586 =E= 0;

e846.. -x267*x18 + x587 =E= 0;

e847.. -x268*x18 + x588 =E= 0;

e848.. -x269*x18 + x589 =E= 0;

e849.. -x270*x18 + x590 =E= 0;

e850.. -x271*x18 + x591 =E= 0;

e851.. -x272*x18 + x592 =E= 0;

e852.. -x273*x18 + x593 =E= 0;

e853.. -x274*x19 + x594 =E= 0;

e854.. -x275*x19 + x595 =E= 0;

e855.. -x276*x19 + x596 =E= 0;

e856.. -x277*x19 + x597 =E= 0;

e857.. -x278*x19 + x598 =E= 0;

e858.. -x279*x19 + x599 =E= 0;

e859.. -x280*x19 + x600 =E= 0;

e860.. -x281*x19 + x601 =E= 0;

e861.. -x282*x19 + x602 =E= 0;

e862.. -x283*x19 + x603 =E= 0;

e863.. -x284*x19 + x604 =E= 0;

e864.. -x285*x19 + x605 =E= 0;

e865.. -x286*x19 + x606 =E= 0;

e866.. -x287*x19 + x607 =E= 0;

e867.. -x288*x19 + x608 =E= 0;

e868.. -x289*x19 + x609 =E= 0;

e869.. -x210*x20 + x610 =E= 0;

e870.. -x211*x20 + x611 =E= 0;

e871.. -x212*x20 + x612 =E= 0;

e872.. -x213*x20 + x613 =E= 0;

e873.. -x214*x20 + x614 =E= 0;

e874.. -x215*x20 + x615 =E= 0;

e875.. -x216*x20 + x616 =E= 0;

e876.. -x217*x20 + x617 =E= 0;

e877.. -x218*x20 + x618 =E= 0;

e878.. -x219*x20 + x619 =E= 0;

e879.. -x220*x20 + x620 =E= 0;

e880.. -x221*x20 + x621 =E= 0;

e881.. -x222*x20 + x622 =E= 0;

e882.. -x223*x20 + x623 =E= 0;

e883.. -x224*x20 + x624 =E= 0;

e884.. -x225*x20 + x625 =E= 0;

e885.. -x226*x21 + x626 =E= 0;

e886.. -x227*x21 + x627 =E= 0;

e887.. -x228*x21 + x628 =E= 0;

e888.. -x229*x21 + x629 =E= 0;

e889.. -x230*x21 + x630 =E= 0;

e890.. -x231*x21 + x631 =E= 0;

e891.. -x232*x21 + x632 =E= 0;

e892.. -x233*x21 + x633 =E= 0;

e893.. -x234*x21 + x634 =E= 0;

e894.. -x235*x21 + x635 =E= 0;

e895.. -x236*x21 + x636 =E= 0;

e896.. -x237*x21 + x637 =E= 0;

e897.. -x238*x21 + x638 =E= 0;

e898.. -x239*x21 + x639 =E= 0;

e899.. -x240*x21 + x640 =E= 0;

e900.. -x241*x21 + x641 =E= 0;

e901.. -x242*x22 + x642 =E= 0;

e902.. -x243*x22 + x643 =E= 0;

e903.. -x244*x22 + x644 =E= 0;

e904.. -x245*x22 + x645 =E= 0;

e905.. -x246*x22 + x646 =E= 0;

e906.. -x247*x22 + x647 =E= 0;

e907.. -x248*x22 + x648 =E= 0;

e908.. -x249*x22 + x649 =E= 0;

e909.. -x250*x22 + x650 =E= 0;

e910.. -x251*x22 + x651 =E= 0;

e911.. -x252*x22 + x652 =E= 0;

e912.. -x253*x22 + x653 =E= 0;

e913.. -x254*x22 + x654 =E= 0;

e914.. -x255*x22 + x655 =E= 0;

e915.. -x256*x22 + x656 =E= 0;

e916.. -x257*x22 + x657 =E= 0;

e917.. -x258*x23 + x658 =E= 0;

e918.. -x259*x23 + x659 =E= 0;

e919.. -x260*x23 + x660 =E= 0;

e920.. -x261*x23 + x661 =E= 0;

e921.. -x262*x23 + x662 =E= 0;

e922.. -x263*x23 + x663 =E= 0;

e923.. -x264*x23 + x664 =E= 0;

e924.. -x265*x23 + x665 =E= 0;

e925.. -x266*x23 + x666 =E= 0;

e926.. -x267*x23 + x667 =E= 0;

e927.. -x268*x23 + x668 =E= 0;

e928.. -x269*x23 + x669 =E= 0;

e929.. -x270*x23 + x670 =E= 0;

e930.. -x271*x23 + x671 =E= 0;

e931.. -x272*x23 + x672 =E= 0;

e932.. -x273*x23 + x673 =E= 0;

e933.. -x194*x24 + x674 =E= 0;

e934.. -x195*x24 + x675 =E= 0;

e935.. -x196*x24 + x676 =E= 0;

e936.. -x197*x24 + x677 =E= 0;

e937.. -x198*x24 + x678 =E= 0;

e938.. -x199*x24 + x679 =E= 0;

e939.. -x200*x24 + x680 =E= 0;

e940.. -x201*x24 + x681 =E= 0;

e941.. -x202*x24 + x682 =E= 0;

e942.. -x203*x24 + x683 =E= 0;

e943.. -x204*x24 + x684 =E= 0;

e944.. -x205*x24 + x685 =E= 0;

e945.. -x206*x24 + x686 =E= 0;

e946.. -x207*x24 + x687 =E= 0;

e947.. -x208*x24 + x688 =E= 0;

e948.. -x209*x24 + x689 =E= 0;

e949.. -x210*x25 + x690 =E= 0;

e950.. -x211*x25 + x691 =E= 0;

e951.. -x212*x25 + x692 =E= 0;

e952.. -x213*x25 + x693 =E= 0;

e953.. -x214*x25 + x694 =E= 0;

e954.. -x215*x25 + x695 =E= 0;

e955.. -x216*x25 + x696 =E= 0;

e956.. -x217*x25 + x697 =E= 0;

e957.. -x218*x25 + x698 =E= 0;

e958.. -x219*x25 + x699 =E= 0;

e959.. -x220*x25 + x700 =E= 0;

e960.. -x221*x25 + x701 =E= 0;

e961.. -x222*x25 + x702 =E= 0;

e962.. -x223*x25 + x703 =E= 0;

e963.. -x224*x25 + x704 =E= 0;

e964.. -x225*x25 + x705 =E= 0;

e965.. -x226*x26 + x706 =E= 0;

e966.. -x227*x26 + x707 =E= 0;

e967.. -x228*x26 + x708 =E= 0;

e968.. -x229*x26 + x709 =E= 0;

e969.. -x230*x26 + x710 =E= 0;

e970.. -x231*x26 + x711 =E= 0;

e971.. -x232*x26 + x712 =E= 0;

e972.. -x233*x26 + x713 =E= 0;

e973.. -x234*x26 + x714 =E= 0;

e974.. -x235*x26 + x715 =E= 0;

e975.. -x236*x26 + x716 =E= 0;

e976.. -x237*x26 + x717 =E= 0;

e977.. -x238*x26 + x718 =E= 0;

e978.. -x239*x26 + x719 =E= 0;

e979.. -x240*x26 + x720 =E= 0;

e980.. -x241*x26 + x721 =E= 0;

e981.. -x242*x27 + x722 =E= 0;

e982.. -x243*x27 + x723 =E= 0;

e983.. -x244*x27 + x724 =E= 0;

e984.. -x245*x27 + x725 =E= 0;

e985.. -x246*x27 + x726 =E= 0;

e986.. -x247*x27 + x727 =E= 0;

e987.. -x248*x27 + x728 =E= 0;

e988.. -x249*x27 + x729 =E= 0;

e989.. -x250*x27 + x730 =E= 0;

e990.. -x251*x27 + x731 =E= 0;

e991.. -x252*x27 + x732 =E= 0;

e992.. -x253*x27 + x733 =E= 0;

e993.. -x254*x27 + x734 =E= 0;

e994.. -x255*x27 + x735 =E= 0;

e995.. -x256*x27 + x736 =E= 0;

e996.. -x257*x27 + x737 =E= 0;

e997.. -x194*x28 + x738 =E= 0;

e998.. -x195*x28 + x739 =E= 0;

e999.. -x196*x28 + x740 =E= 0;

e1000.. -x197*x28 + x741 =E= 0;

e1001.. -x198*x28 + x742 =E= 0;

e1002.. -x199*x28 + x743 =E= 0;

e1003.. -x200*x28 + x744 =E= 0;

e1004.. -x201*x28 + x745 =E= 0;

e1005.. -x202*x28 + x746 =E= 0;

e1006.. -x203*x28 + x747 =E= 0;

e1007.. -x204*x28 + x748 =E= 0;

e1008.. -x205*x28 + x749 =E= 0;

e1009.. -x206*x28 + x750 =E= 0;

e1010.. -x207*x28 + x751 =E= 0;

e1011.. -x208*x28 + x752 =E= 0;

e1012.. -x209*x28 + x753 =E= 0;

e1013.. -x210*x29 + x754 =E= 0;

e1014.. -x211*x29 + x755 =E= 0;

e1015.. -x212*x29 + x756 =E= 0;

e1016.. -x213*x29 + x757 =E= 0;

e1017.. -x214*x29 + x758 =E= 0;

e1018.. -x215*x29 + x759 =E= 0;

e1019.. -x216*x29 + x760 =E= 0;

e1020.. -x217*x29 + x761 =E= 0;

e1021.. -x218*x29 + x762 =E= 0;

e1022.. -x219*x29 + x763 =E= 0;

e1023.. -x220*x29 + x764 =E= 0;

e1024.. -x221*x29 + x765 =E= 0;

e1025.. -x222*x29 + x766 =E= 0;

e1026.. -x223*x29 + x767 =E= 0;

e1027.. -x224*x29 + x768 =E= 0;

e1028.. -x225*x29 + x769 =E= 0;

e1029.. -x226*x30 + x770 =E= 0;

e1030.. -x227*x30 + x771 =E= 0;

e1031.. -x228*x30 + x772 =E= 0;

e1032.. -x229*x30 + x773 =E= 0;

e1033.. -x230*x30 + x774 =E= 0;

e1034.. -x231*x30 + x775 =E= 0;

e1035.. -x232*x30 + x776 =E= 0;

e1036.. -x233*x30 + x777 =E= 0;

e1037.. -x234*x30 + x778 =E= 0;

e1038.. -x235*x30 + x779 =E= 0;

e1039.. -x236*x30 + x780 =E= 0;

e1040.. -x237*x30 + x781 =E= 0;

e1041.. -x238*x30 + x782 =E= 0;

e1042.. -x239*x30 + x783 =E= 0;

e1043.. -x240*x30 + x784 =E= 0;

e1044.. -x241*x30 + x785 =E= 0;

e1045.. -x194*x31 + x786 =E= 0;

e1046.. -x195*x31 + x787 =E= 0;

e1047.. -x196*x31 + x788 =E= 0;

e1048.. -x197*x31 + x789 =E= 0;

e1049.. -x198*x31 + x790 =E= 0;

e1050.. -x199*x31 + x791 =E= 0;

e1051.. -x200*x31 + x792 =E= 0;

e1052.. -x201*x31 + x793 =E= 0;

e1053.. -x202*x31 + x794 =E= 0;

e1054.. -x203*x31 + x795 =E= 0;

e1055.. -x204*x31 + x796 =E= 0;

e1056.. -x205*x31 + x797 =E= 0;

e1057.. -x206*x31 + x798 =E= 0;

e1058.. -x207*x31 + x799 =E= 0;

e1059.. -x208*x31 + x800 =E= 0;

e1060.. -x209*x31 + x801 =E= 0;

e1061.. -x210*x32 + x802 =E= 0;

e1062.. -x211*x32 + x803 =E= 0;

e1063.. -x212*x32 + x804 =E= 0;

e1064.. -x213*x32 + x805 =E= 0;

e1065.. -x214*x32 + x806 =E= 0;

e1066.. -x215*x32 + x807 =E= 0;

e1067.. -x216*x32 + x808 =E= 0;

e1068.. -x217*x32 + x809 =E= 0;

e1069.. -x218*x32 + x810 =E= 0;

e1070.. -x219*x32 + x811 =E= 0;

e1071.. -x220*x32 + x812 =E= 0;

e1072.. -x221*x32 + x813 =E= 0;

e1073.. -x222*x32 + x814 =E= 0;

e1074.. -x223*x32 + x815 =E= 0;

e1075.. -x224*x32 + x816 =E= 0;

e1076.. -x225*x32 + x817 =E= 0;

e1077.. -x194*x33 + x818 =E= 0;

e1078.. -x195*x33 + x819 =E= 0;

e1079.. -x196*x33 + x820 =E= 0;

e1080.. -x197*x33 + x821 =E= 0;

e1081.. -x198*x33 + x822 =E= 0;

e1082.. -x199*x33 + x823 =E= 0;

e1083.. -x200*x33 + x824 =E= 0;

e1084.. -x201*x33 + x825 =E= 0;

e1085.. -x202*x33 + x826 =E= 0;

e1086.. -x203*x33 + x827 =E= 0;

e1087.. -x204*x33 + x828 =E= 0;

e1088.. -x205*x33 + x829 =E= 0;

e1089.. -x206*x33 + x830 =E= 0;

e1090.. -x207*x33 + x831 =E= 0;

e1091.. -x208*x33 + x832 =E= 0;

e1092.. -x209*x33 + x833 =E= 0;

* set non-default bounds
x2.up = 16;
x3.up = 16;
x4.up = 16;
x5.up = 16;
x6.up = 16;
x7.up = 16;
x8.up = 16;
x9.up = 16;
x10.up = 16;
x11.up = 16;
x12.up = 16;
x13.up = 16;
x14.up = 16;
x15.up = 16;
x16.up = 16;
x17.up = 16;
x18.up = 16;
x19.up = 16;
x20.up = 16;
x21.up = 16;
x22.up = 16;
x23.up = 16;
x24.up = 16;
x25.up = 16;
x26.up = 16;
x27.up = 16;
x28.up = 16;
x29.up = 16;
x30.up = 16;
x31.up = 16;
x32.up = 16;
x33.up = 16;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 1;
x91.up = 1;
x92.up = 1;
x93.up = 1;
x94.up = 1;
x95.up = 1;
x96.up = 1;
x97.up = 1;
x98.up = 1;
x99.up = 1;
x100.up = 1;
x101.up = 1;
x102.up = 1;
x103.up = 1;
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 1;
x114.up = 1;
x115.up = 1;
x116.up = 1;
x117.up = 1;
x118.up = 1;
x119.up = 1;
x120.up = 1;
x121.up = 1;
x122.up = 1;
x123.up = 1;
x124.up = 1;
x125.up = 1;
x126.up = 1;
x127.up = 1;
x128.up = 1;
x129.up = 1;
x130.up = 1;
x131.up = 1;
x132.up = 1;
x133.up = 1;
x134.up = 1;
x135.up = 1;
x136.up = 1;
x137.up = 1;
x138.up = 1;
x139.up = 1;
x140.up = 1;
x141.up = 1;
x142.up = 1;
x143.up = 1;
x144.up = 1;
x145.up = 1;
x146.up = 1;
x147.up = 1;
x148.up = 1;
x149.up = 1;
x150.up = 1;
x151.up = 1;
x152.up = 1;
x153.up = 1;
x154.up = 1;
x155.up = 1;
x156.up = 1;
x157.up = 1;
x158.up = 1;
x159.up = 1;
x160.up = 1;
x161.up = 1;
x162.up = 1;
x163.up = 1;
x164.up = 1;
x165.up = 1;
x166.up = 1;
x167.up = 1;
x168.up = 1;
x169.up = 1;
x170.up = 1;
x171.up = 1;
x172.up = 1;
x173.up = 1;
x174.up = 1;
x175.up = 1;
x176.up = 1;
x177.up = 1;
x178.up = 1;
x179.up = 1;
x180.up = 1;
x181.up = 1;
x182.up = 1;
x183.up = 1;
x184.up = 1;
x185.up = 1;
x186.up = 1;
x187.up = 1;
x188.up = 1;
x189.up = 1;
x190.up = 1;
x191.up = 1;
x192.up = 1;
x193.up = 1;
x194.up = 1;
x195.up = 1;
x196.up = 1;
x197.up = 1;
x198.up = 1;
x199.up = 1;
x200.up = 1;
x201.up = 1;
x202.up = 1;
x203.up = 1;
x204.up = 1;
x205.up = 1;
x206.up = 1;
x207.up = 1;
x208.up = 1;
x209.up = 1;
x210.up = 1;
x211.up = 1;
x212.up = 1;
x213.up = 1;
x214.up = 1;
x215.up = 1;
x216.up = 1;
x217.up = 1;
x218.up = 1;
x219.up = 1;
x220.up = 1;
x221.up = 1;
x222.up = 1;
x223.up = 1;
x224.up = 1;
x225.up = 1;
x226.up = 1;
x227.up = 1;
x228.up = 1;
x229.up = 1;
x230.up = 1;
x231.up = 1;
x232.up = 1;
x233.up = 1;
x234.up = 1;
x235.up = 1;
x236.up = 1;
x237.up = 1;
x238.up = 1;
x239.up = 1;
x240.up = 1;
x241.up = 1;
x242.up = 1;
x243.up = 1;
x244.up = 1;
x245.up = 1;
x246.up = 1;
x247.up = 1;
x248.up = 1;
x249.up = 1;
x250.up = 1;
x251.up = 1;
x252.up = 1;
x253.up = 1;
x254.up = 1;
x255.up = 1;
x256.up = 1;
x257.up = 1;
x258.up = 1;
x259.up = 1;
x260.up = 1;
x261.up = 1;
x262.up = 1;
x263.up = 1;
x264.up = 1;
x265.up = 1;
x266.up = 1;
x267.up = 1;
x268.up = 1;
x269.up = 1;
x270.up = 1;
x271.up = 1;
x272.up = 1;
x273.up = 1;
x274.up = 1;
x275.up = 1;
x276.up = 1;
x277.up = 1;
x278.up = 1;
x279.up = 1;
x280.up = 1;
x281.up = 1;
x282.up = 1;
x283.up = 1;
x284.up = 1;
x285.up = 1;
x286.up = 1;
x287.up = 1;
x288.up = 1;
x289.up = 1;
x290.up = 1;
x291.up = 1;
x292.up = 1;
x293.up = 1;
x294.up = 1;
x295.up = 1;
x296.up = 1;
x297.up = 1;
x298.up = 1;
x299.up = 1;
x300.up = 1;
x301.up = 1;
x302.up = 1;
x303.up = 1;
x304.up = 1;
x305.up = 1;
x306.up = 1;
x307.up = 1;
x308.up = 1;
x309.up = 1;
x310.up = 1;
x311.up = 1;
x312.up = 1;
x313.up = 1;
x314.up = 1;
x315.up = 1;
x316.up = 1;
x317.up = 1;
x318.up = 1;
x319.up = 1;
x320.up = 1;
x321.up = 1;
x322.up = 1;
x323.up = 1;
x324.up = 1;
x325.up = 1;
x326.up = 1;
x327.up = 1;
x328.up = 1;
x329.up = 1;
x330.up = 1;
x331.up = 1;
x332.up = 1;
x333.up = 1;
x334.up = 1;
x335.up = 1;
x336.up = 1;
x337.up = 1;
x338.up = 1;
x339.up = 1;
x340.up = 1;
x341.up = 1;
x342.up = 1;
x343.up = 1;
x344.up = 1;
x345.up = 1;
x346.up = 1;
x347.up = 1;
x348.up = 1;
x349.up = 1;
x350.up = 1;
x351.up = 1;
x352.up = 1;
x353.up = 1;
x354.up = 1;
x355.up = 1;
x356.up = 1;
x357.up = 1;
x358.up = 1;
x359.up = 1;
x360.up = 1;
x361.up = 1;
x362.up = 1;
x363.up = 1;
x364.up = 1;
x365.up = 1;
x366.up = 1;
x367.up = 1;
x368.up = 1;
x369.up = 1;
x370.up = 1;
x371.up = 1;
x372.up = 1;
x373.up = 1;
x374.up = 1;
x375.up = 1;
x376.up = 1;
x377.up = 1;
x378.up = 1;
x379.up = 1;
x380.up = 1;
x381.up = 1;
x382.up = 1;
x383.up = 1;
x384.up = 1;
x385.up = 1;
x386.up = 1;
x387.up = 1;
x388.up = 1;
x389.up = 1;
x390.up = 1;
x391.up = 1;
x392.up = 1;
x393.up = 1;
x394.up = 1;
x395.up = 1;
x396.up = 1;
x397.up = 1;
x398.up = 1;
x399.up = 1;
x400.up = 1;
x401.up = 1;
x402.up = 1;
x403.up = 1;
x404.up = 1;
x405.up = 1;
x406.up = 1;
x407.up = 1;
x408.up = 1;
x409.up = 1;
x410.up = 1;
x411.up = 1;
x412.up = 1;
x413.up = 1;
x414.up = 1;
x415.up = 1;
x416.up = 1;
x417.up = 1;
x418.up = 1;
x419.up = 1;
x420.up = 1;
x421.up = 1;
x422.up = 1;
x423.up = 1;
x424.up = 1;
x425.up = 1;
x426.up = 1;
x427.up = 1;
x428.up = 1;
x429.up = 1;
x430.up = 1;
x431.up = 1;
x432.up = 1;
x433.up = 1;
x434.up = 1;
x435.up = 1;
x436.up = 1;
x437.up = 1;
x438.up = 1;
x439.up = 1;
x440.up = 1;
x441.up = 1;
x442.up = 1;
x443.up = 1;
x444.up = 1;
x445.up = 1;
x446.up = 1;
x447.up = 1;
x448.up = 1;
x449.up = 1;
x450.up = 1;
x451.up = 1;
x452.up = 1;
x453.up = 1;
x454.up = 1;
x455.up = 1;
x456.up = 1;
x457.up = 1;
x458.up = 1;
x459.up = 1;
x460.up = 1;
x461.up = 1;
x462.up = 1;
x463.up = 1;
x464.up = 1;
x465.up = 1;
x466.up = 1;
x467.up = 1;
x468.up = 1;
x469.up = 1;
x470.up = 1;
x471.up = 1;
x472.up = 1;
x473.up = 1;
x474.up = 1;
x475.up = 1;
x476.up = 1;
x477.up = 1;
x478.up = 1;
x479.up = 1;
x480.up = 1;
x481.up = 1;
x482.up = 1;
x483.up = 1;
x484.up = 1;
x485.up = 1;
x486.up = 1;
x487.up = 1;
x488.up = 1;
x489.up = 1;
x490.up = 1;
x491.up = 1;
x492.up = 1;
x493.up = 1;
x494.up = 1;
x495.up = 1;
x496.up = 1;
x497.up = 1;
x498.up = 1;
x499.up = 1;
x500.up = 1;
x501.up = 1;
x502.up = 1;
x503.up = 1;
x504.up = 1;
x505.up = 1;
x506.up = 1;
x507.up = 1;
x508.up = 1;
x509.up = 1;
x510.up = 1;
x511.up = 1;
x512.up = 1;
x513.up = 1;
x514.up = 1;
x515.up = 1;
x516.up = 1;
x517.up = 1;
x518.up = 1;
x519.up = 1;
x520.up = 1;
x521.up = 1;
x522.up = 1;
x523.up = 1;
x524.up = 1;
x525.up = 1;
x526.up = 1;
x527.up = 1;
x528.up = 1;
x529.up = 1;
x530.up = 1;
x531.up = 1;
x532.up = 1;
x533.up = 1;
x534.up = 1;
x535.up = 1;
x536.up = 1;
x537.up = 1;
x538.up = 1;
x539.up = 1;
x540.up = 1;
x541.up = 1;
x542.up = 1;
x543.up = 1;
x544.up = 1;
x545.up = 1;
x546.up = 1;
x547.up = 1;
x548.up = 1;
x549.up = 1;
x550.up = 1;
x551.up = 1;
x552.up = 1;
x553.up = 1;
x554.up = 1;
x555.up = 1;
x556.up = 1;
x557.up = 1;
x558.up = 1;
x559.up = 1;
x560.up = 1;
x561.up = 1;
x562.up = 1;
x563.up = 1;
x564.up = 1;
x565.up = 1;
x566.up = 1;
x567.up = 1;
x568.up = 1;
x569.up = 1;
x570.up = 1;
x571.up = 1;
x572.up = 1;
x573.up = 1;
x574.up = 1;
x575.up = 1;
x576.up = 1;
x577.up = 1;
x578.up = 1;
x579.up = 1;
x580.up = 1;
x581.up = 1;
x582.up = 1;
x583.up = 1;
x584.up = 1;
x585.up = 1;
x586.up = 1;
x587.up = 1;
x588.up = 1;
x589.up = 1;
x590.up = 1;
x591.up = 1;
x592.up = 1;
x593.up = 1;
x594.up = 1;
x595.up = 1;
x596.up = 1;
x597.up = 1;
x598.up = 1;
x599.up = 1;
x600.up = 1;
x601.up = 1;
x602.up = 1;
x603.up = 1;
x604.up = 1;
x605.up = 1;
x606.up = 1;
x607.up = 1;
x608.up = 1;
x609.up = 1;
x610.up = 1;
x611.up = 1;
x612.up = 1;
x613.up = 1;
x614.up = 1;
x615.up = 1;
x616.up = 1;
x617.up = 1;
x618.up = 1;
x619.up = 1;
x620.up = 1;
x621.up = 1;
x622.up = 1;
x623.up = 1;
x624.up = 1;
x625.up = 1;
x626.up = 1;
x627.up = 1;
x628.up = 1;
x629.up = 1;
x630.up = 1;
x631.up = 1;
x632.up = 1;
x633.up = 1;
x634.up = 1;
x635.up = 1;
x636.up = 1;
x637.up = 1;
x638.up = 1;
x639.up = 1;
x640.up = 1;
x641.up = 1;
x642.up = 1;
x643.up = 1;
x644.up = 1;
x645.up = 1;
x646.up = 1;
x647.up = 1;
x648.up = 1;
x649.up = 1;
x650.up = 1;
x651.up = 1;
x652.up = 1;
x653.up = 1;
x654.up = 1;
x655.up = 1;
x656.up = 1;
x657.up = 1;
x658.up = 1;
x659.up = 1;
x660.up = 1;
x661.up = 1;
x662.up = 1;
x663.up = 1;
x664.up = 1;
x665.up = 1;
x666.up = 1;
x667.up = 1;
x668.up = 1;
x669.up = 1;
x670.up = 1;
x671.up = 1;
x672.up = 1;
x673.up = 1;
x674.up = 1;
x675.up = 1;
x676.up = 1;
x677.up = 1;
x678.up = 1;
x679.up = 1;
x680.up = 1;
x681.up = 1;
x682.up = 1;
x683.up = 1;
x684.up = 1;
x685.up = 1;
x686.up = 1;
x687.up = 1;
x688.up = 1;
x689.up = 1;
x690.up = 1;
x691.up = 1;
x692.up = 1;
x693.up = 1;
x694.up = 1;
x695.up = 1;
x696.up = 1;
x697.up = 1;
x698.up = 1;
x699.up = 1;
x700.up = 1;
x701.up = 1;
x702.up = 1;
x703.up = 1;
x704.up = 1;
x705.up = 1;
x706.up = 1;
x707.up = 1;
x708.up = 1;
x709.up = 1;
x710.up = 1;
x711.up = 1;
x712.up = 1;
x713.up = 1;
x714.up = 1;
x715.up = 1;
x716.up = 1;
x717.up = 1;
x718.up = 1;
x719.up = 1;
x720.up = 1;
x721.up = 1;
x722.up = 1;
x723.up = 1;
x724.up = 1;
x725.up = 1;
x726.up = 1;
x727.up = 1;
x728.up = 1;
x729.up = 1;
x730.up = 1;
x731.up = 1;
x732.up = 1;
x733.up = 1;
x734.up = 1;
x735.up = 1;
x736.up = 1;
x737.up = 1;
x738.up = 1;
x739.up = 1;
x740.up = 1;
x741.up = 1;
x742.up = 1;
x743.up = 1;
x744.up = 1;
x745.up = 1;
x746.up = 1;
x747.up = 1;
x748.up = 1;
x749.up = 1;
x750.up = 1;
x751.up = 1;
x752.up = 1;
x753.up = 1;
x754.up = 1;
x755.up = 1;
x756.up = 1;
x757.up = 1;
x758.up = 1;
x759.up = 1;
x760.up = 1;
x761.up = 1;
x762.up = 1;
x763.up = 1;
x764.up = 1;
x765.up = 1;
x766.up = 1;
x767.up = 1;
x768.up = 1;
x769.up = 1;
x770.up = 1;
x771.up = 1;
x772.up = 1;
x773.up = 1;
x774.up = 1;
x775.up = 1;
x776.up = 1;
x777.up = 1;
x778.up = 1;
x779.up = 1;
x780.up = 1;
x781.up = 1;
x782.up = 1;
x783.up = 1;
x784.up = 1;
x785.up = 1;
x786.up = 1;
x787.up = 1;
x788.up = 1;
x789.up = 1;
x790.up = 1;
x791.up = 1;
x792.up = 1;
x793.up = 1;
x794.up = 1;
x795.up = 1;
x796.up = 1;
x797.up = 1;
x798.up = 1;
x799.up = 1;
x800.up = 1;
x801.up = 1;
x802.up = 1;
x803.up = 1;
x804.up = 1;
x805.up = 1;
x806.up = 1;
x807.up = 1;
x808.up = 1;
x809.up = 1;
x810.up = 1;
x811.up = 1;
x812.up = 1;
x813.up = 1;
x814.up = 1;
x815.up = 1;
x816.up = 1;
x817.up = 1;
x818.up = 1;
x819.up = 1;
x820.up = 1;
x821.up = 1;
x822.up = 1;
x823.up = 1;
x824.up = 1;
x825.up = 1;
x826.up = 1;
x827.up = 1;
x828.up = 1;
x829.up = 1;
x830.up = 1;
x831.up = 1;
x832.up = 1;
x833.up = 1;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;


Last updated: 2021-11-30 Git hash: 8337812f
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