MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance pooling_foulds5tp

TP formulation of pooling problem. Explicitly added RLT constraints were removed from the original formulation of Alfaki and Haugland.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
-8.00000000 p1 ( gdx sol )
(infeas: 6e-13)
Other points (infeas > 1e-08)  
Dual Bounds
-8.00000001 (ANTIGONE)
-8.00000000 (BARON)
-8.00000002 (COUENNE)
-8.00000000 (GUROBI)
-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 Foulds5.gms from Standard Pooling Problem Instances
Application Pooling problem
Added to library 12 Sep 2017
Problem type QCP
#Variables 608
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 96
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 488
#Nonlinear Nonzeros in Objective 0
#Constraints 563
#Linear Constraints 51
#Quadratic Constraints 512
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 3623
#Nonlinear Nonzeros in Jacobian 1024
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1024
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 4
Minimal blocksize in Hessian of Lagrangian 24
Maximal blocksize in Hessian of Lagrangian 24
Average blocksize in Hessian of Lagrangian 24.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0000e-02
Maximal coefficient 1.0000e+01
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
*        564      517        0       47        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        609      609        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4112     3088     1024        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;

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;

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;


e1..    objvar + 10*x66 + 9.5*x67 + 9*x68 + 8.5*x69 + 8*x70 + 7.5*x71 + 7*x72
      + 6.5*x73 + 6*x74 + 5.5*x75 + 5*x76 + 4.5*x77 + 4*x78 + 3.5*x79 + 3*x80
      + 2.5*x81 + 10*x82 + 9.5*x83 + 9*x84 + 8.5*x85 + 8*x86 + 7.5*x87 + 7*x88
      + 6.5*x89 + 6*x90 + 5.5*x91 + 5*x92 + 4.5*x93 + 4*x94 + 3.5*x95 + 3*x96
      + 2.5*x97 + 9*x98 + 8.5*x99 + 8*x100 + 7.5*x101 + 7*x102 + 6.5*x103
      + 6*x104 + 5.5*x105 + 5*x106 + 4.5*x107 + 4*x108 + 3.5*x109 + 3*x110
      + 2.5*x111 + 2*x112 + 1.5*x113 + 9*x114 + 8.5*x115 + 8*x116 + 7.5*x117
      + 7*x118 + 6.5*x119 + 6*x120 + 5.5*x121 + 5*x122 + 4.5*x123 + 4*x124
      + 3.5*x125 + 3*x126 + 2.5*x127 + 2*x128 + 1.5*x129 + 9*x130 + 8.5*x131
      + 8*x132 + 7.5*x133 + 7*x134 + 6.5*x135 + 6*x136 + 5.5*x137 + 5*x138
      + 4.5*x139 + 4*x140 + 3.5*x141 + 3*x142 + 2.5*x143 + 2*x144 + 1.5*x145
      + 8*x146 + 7.5*x147 + 7*x148 + 6.5*x149 + 6*x150 + 5.5*x151 + 5*x152
      + 4.5*x153 + 4*x154 + 3.5*x155 + 3*x156 + 2.5*x157 + 2*x158 + 1.5*x159
      + x160 + 0.5*x161 + 8*x162 + 7.5*x163 + 7*x164 + 6.5*x165 + 6*x166
      + 5.5*x167 + 5*x168 + 4.5*x169 + 4*x170 + 3.5*x171 + 3*x172 + 2.5*x173
      + 2*x174 + 1.5*x175 + x176 + 0.5*x177 + 8*x178 + 7.5*x179 + 7*x180
      + 6.5*x181 + 6*x182 + 5.5*x183 + 5*x184 + 4.5*x185 + 4*x186 + 3.5*x187
      + 3*x188 + 2.5*x189 + 2*x190 + 1.5*x191 + x192 + 0.5*x193 + 7*x194
      + 6.5*x195 + 6*x196 + 5.5*x197 + 5*x198 + 4.5*x199 + 4*x200 + 3.5*x201
      + 3*x202 + 2.5*x203 + 2*x204 + 1.5*x205 + x206 + 0.5*x207 - 0.5*x209
      + 7*x210 + 6.5*x211 + 6*x212 + 5.5*x213 + 5*x214 + 4.5*x215 + 4*x216
      + 3.5*x217 + 3*x218 + 2.5*x219 + 2*x220 + 1.5*x221 + x222 + 0.5*x223
      - 0.5*x225 + 7*x226 + 6.5*x227 + 6*x228 + 5.5*x229 + 5*x230 + 4.5*x231
      + 4*x232 + 3.5*x233 + 3*x234 + 2.5*x235 + 2*x236 + 1.5*x237 + x238
      + 0.5*x239 - 0.5*x241 + 7*x242 + 6.5*x243 + 6*x244 + 5.5*x245 + 5*x246
      + 4.5*x247 + 4*x248 + 3.5*x249 + 3*x250 + 2.5*x251 + 2*x252 + 1.5*x253
      + x254 + 0.5*x255 - 0.5*x257 + 6*x258 + 5.5*x259 + 5*x260 + 4.5*x261
      + 4*x262 + 3.5*x263 + 3*x264 + 2.5*x265 + 2*x266 + 1.5*x267 + x268
      + 0.5*x269 - 0.5*x271 - x272 - 1.5*x273 + 6*x274 + 5.5*x275 + 5*x276
      + 4.5*x277 + 4*x278 + 3.5*x279 + 3*x280 + 2.5*x281 + 2*x282 + 1.5*x283
      + x284 + 0.5*x285 - 0.5*x287 - x288 - 1.5*x289 + 6*x290 + 5.5*x291
      + 5*x292 + 4.5*x293 + 4*x294 + 3.5*x295 + 3*x296 + 2.5*x297 + 2*x298
      + 1.5*x299 + x300 + 0.5*x301 - 0.5*x303 - x304 - 1.5*x305 + 5*x306
      + 4.5*x307 + 4*x308 + 3.5*x309 + 3*x310 + 2.5*x311 + 2*x312 + 1.5*x313
      + x314 + 0.5*x315 - 0.5*x317 - x318 - 1.5*x319 - 2*x320 - 2.5*x321
      + 5*x322 + 4.5*x323 + 4*x324 + 3.5*x325 + 3*x326 + 2.5*x327 + 2*x328
      + 1.5*x329 + x330 + 0.5*x331 - 0.5*x333 - x334 - 1.5*x335 - 2*x336
      - 2.5*x337 + 4*x338 + 3.5*x339 + 3*x340 + 2.5*x341 + 2*x342 + 1.5*x343
      + x344 + 0.5*x345 - 0.5*x347 - x348 - 1.5*x349 - 2*x350 - 2.5*x351
      - 3*x352 - 3.5*x353 + 4*x354 + 3.5*x355 + 3*x356 + 2.5*x357 + 2*x358
      + 1.5*x359 + x360 + 0.5*x361 - 0.5*x363 - x364 - 1.5*x365 - 2*x366
      - 2.5*x367 - 3*x368 - 3.5*x369 + 4*x370 + 3.5*x371 + 3*x372 + 2.5*x373
      + 2*x374 + 1.5*x375 + x376 + 0.5*x377 - 0.5*x379 - x380 - 1.5*x381
      - 2*x382 - 2.5*x383 - 3*x384 - 3.5*x385 + 3*x386 + 2.5*x387 + 2*x388
      + 1.5*x389 + x390 + 0.5*x391 - 0.5*x393 - x394 - 1.5*x395 - 2*x396
      - 2.5*x397 - 3*x398 - 3.5*x399 - 4*x400 - 4.5*x401 + 3*x402 + 2.5*x403
      + 2*x404 + 1.5*x405 + x406 + 0.5*x407 - 0.5*x409 - x410 - 1.5*x411
      - 2*x412 - 2.5*x413 - 3*x414 - 3.5*x415 - 4*x416 - 4.5*x417 + 3*x418
      + 2.5*x419 + 2*x420 + 1.5*x421 + x422 + 0.5*x423 - 0.5*x425 - x426
      - 1.5*x427 - 2*x428 - 2.5*x429 - 3*x430 - 3.5*x431 - 4*x432 - 4.5*x433
      + 3*x434 + 2.5*x435 + 2*x436 + 1.5*x437 + x438 + 0.5*x439 - 0.5*x441
      - x442 - 1.5*x443 - 2*x444 - 2.5*x445 - 3*x446 - 3.5*x447 - 4*x448
      - 4.5*x449 + 2*x450 + 1.5*x451 + x452 + 0.5*x453 - 0.5*x455 - x456
      - 1.5*x457 - 2*x458 - 2.5*x459 - 3*x460 - 3.5*x461 - 4*x462 - 4.5*x463
      - 5*x464 - 5.5*x465 + 2*x466 + 1.5*x467 + x468 + 0.5*x469 - 0.5*x471
      - x472 - 1.5*x473 - 2*x474 - 2.5*x475 - 3*x476 - 3.5*x477 - 4*x478
      - 4.5*x479 - 5*x480 - 5.5*x481 + 2*x482 + 1.5*x483 + x484 + 0.5*x485
      - 0.5*x487 - x488 - 1.5*x489 - 2*x490 - 2.5*x491 - 3*x492 - 3.5*x493
      - 4*x494 - 4.5*x495 - 5*x496 - 5.5*x497 + x498 + 0.5*x499 - 0.5*x501
      - x502 - 1.5*x503 - 2*x504 - 2.5*x505 - 3*x506 - 3.5*x507 - 4*x508
      - 4.5*x509 - 5*x510 - 5.5*x511 - 6*x512 - 6.5*x513 + x514 + 0.5*x515
      - 0.5*x517 - x518 - 1.5*x519 - 2*x520 - 2.5*x521 - 3*x522 - 3.5*x523
      - 4*x524 - 4.5*x525 - 5*x526 - 5.5*x527 - 6*x528 - 6.5*x529 + x530
      + 0.5*x531 - 0.5*x533 - x534 - 1.5*x535 - 2*x536 - 2.5*x537 - 3*x538
      - 3.5*x539 - 4*x540 - 4.5*x541 - 5*x542 - 5.5*x543 - 6*x544 - 6.5*x545
      - 0.5*x547 - x548 - 1.5*x549 - 2*x550 - 2.5*x551 - 3*x552 - 3.5*x553
      - 4*x554 - 4.5*x555 - 5*x556 - 5.5*x557 - 6*x558 - 6.5*x559 - 7*x560
      - 7.5*x561 - 0.5*x563 - x564 - 1.5*x565 - 2*x566 - 2.5*x567 - 3*x568
      - 3.5*x569 - 4*x570 - 4.5*x571 - 5*x572 - 5.5*x573 - 6*x574 - 6.5*x575
      - 7*x576 - 7.5*x577 =E= 0;

e2..    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 =L= 16;

e3..    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 =L= 16;

e4..    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 =L= 16;

e5..    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 =L= 16;

e6..    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 =L= 16;

e7..    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 =L= 16;

e8..    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 =L= 16;

e9..    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 =L= 16;

e10..    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 =L= 16;

e11..    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;

e12..    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 =L= 16;

e13..    x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73 + x74 + x75 + x76 + x77
       + x78 + x79 + x80 + x81 + x98 + x99 + x100 + x101 + x102 + x103 + x104
       + x105 + x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x146
       + x147 + x148 + x149 + x150 + x151 + x152 + x153 + x154 + x155 + x156
       + x157 + x158 + x159 + x160 + x161 + x194 + x195 + x196 + x197 + x198
       + x199 + x200 + x201 + x202 + x203 + x204 + x205 + x206 + x207 + x208
       + x209 + 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 + x498 + x499 + x500 + x501 + x502 + x503 + x504
       + x505 + x506 + x507 + x508 + x509 + x510 + x511 + x512 + x513 + x546
       + x547 + x548 + x549 + x550 + x551 + x552 + x553 + x554 + x555 + x556
       + x557 + x558 + x559 + x560 + x561 =L= 16;

e14..    x114 + x115 + x116 + x117 + x118 + x119 + x120 + x121 + x122 + x123
       + x124 + x125 + x126 + x127 + x128 + x129 + x162 + x163 + x164 + x165
       + x166 + x167 + x168 + x169 + x170 + x171 + x172 + x173 + x174 + x175
       + x176 + x177 + x210 + x211 + x212 + x213 + x214 + x215 + x216 + x217
       + x218 + x219 + x220 + x221 + x222 + x223 + x224 + x225 + x258 + x259
       + x260 + x261 + x262 + x263 + x264 + x265 + x266 + x267 + x268 + x269
       + x270 + x271 + x272 + x273 + x338 + x339 + x340 + x341 + x342 + x343
       + x344 + x345 + x346 + x347 + x348 + x349 + x350 + x351 + x352 + x353
       + 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 + x514 + x515 + x516 + x517 + x518 + x519 + x520 + x521
       + x522 + x523 + x524 + x525 + x526 + x527 + x528 + x529 =L= 16;

e15..    x82 + x83 + x84 + x85 + x86 + x87 + x88 + x89 + x90 + x91 + x92 + x93
       + x94 + x95 + x96 + x97 + x130 + x131 + x132 + x133 + x134 + x135 + x136
       + x137 + x138 + x139 + x140 + x141 + x142 + x143 + x144 + x145 + x178
       + x179 + x180 + x181 + x182 + x183 + x184 + x185 + x186 + x187 + x188
       + x189 + x190 + x191 + x192 + x193 + x226 + x227 + x228 + x229 + x230
       + x231 + x232 + x233 + x234 + x235 + x236 + x237 + x238 + x239 + x240
       + x241 + x274 + x275 + x276 + x277 + x278 + x279 + x280 + x281 + x282
       + x283 + x284 + x285 + x286 + x287 + x288 + x289 + x306 + x307 + x308
       + x309 + x310 + x311 + x312 + x313 + x314 + x315 + x316 + x317 + x318
       + x319 + x320 + x321 + x354 + x355 + x356 + x357 + x358 + x359 + x360
       + x361 + x362 + x363 + x364 + x365 + x366 + x367 + x368 + x369 + x418
       + x419 + x420 + x421 + x422 + x423 + x424 + x425 + x426 + x427 + x428
       + x429 + x430 + x431 + x432 + x433 =L= 16;

e16..    x242 + x243 + x244 + x245 + x246 + x247 + x248 + x249 + x250 + x251
       + x252 + x253 + x254 + x255 + x256 + x257 + x290 + x291 + x292 + x293
       + x294 + x295 + x296 + x297 + x298 + x299 + x300 + x301 + x302 + x303
       + x304 + x305 + x322 + x323 + x324 + x325 + x326 + x327 + x328 + x329
       + x330 + x331 + x332 + x333 + x334 + x335 + x336 + x337 + 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
       + x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490 + x491
       + x492 + x493 + x494 + x495 + x496 + x497 + x530 + x531 + x532 + x533
       + x534 + x535 + x536 + x537 + x538 + x539 + x540 + x541 + x542 + x543
       + x544 + x545 + x562 + x563 + x564 + x565 + x566 + x567 + x568 + x569
       + x570 + x571 + x572 + x573 + x574 + x575 + x576 + x577 =L= 16;

e17..    x66 + x82 + x98 + x114 + x130 + x146 + x162 + x178 + x194 + x210
       + x226 + x242 + x258 + x274 + x290 + x306 + x322 + x338 + x354 + x370
       + x386 + x402 + x418 + x434 + x450 + x466 + x482 + x498 + x514 + x530
       + x546 + x562 =L= 1;

e18..    x67 + x83 + x99 + x115 + x131 + x147 + x163 + x179 + x195 + x211
       + x227 + x243 + x259 + x275 + x291 + x307 + x323 + x339 + x355 + x371
       + x387 + x403 + x419 + x435 + x451 + x467 + x483 + x499 + x515 + x531
       + x547 + x563 =L= 1;

e19..    x68 + x84 + x100 + x116 + x132 + x148 + x164 + x180 + x196 + x212
       + x228 + x244 + x260 + x276 + x292 + x308 + x324 + x340 + x356 + x372
       + x388 + x404 + x420 + x436 + x452 + x468 + x484 + x500 + x516 + x532
       + x548 + x564 =L= 1;

e20..    x69 + x85 + x101 + x117 + x133 + x149 + x165 + x181 + x197 + x213
       + x229 + x245 + x261 + x277 + x293 + x309 + x325 + x341 + x357 + x373
       + x389 + x405 + x421 + x437 + x453 + x469 + x485 + x501 + x517 + x533
       + x549 + x565 =L= 1;

e21..    x70 + x86 + x102 + x118 + x134 + x150 + x166 + x182 + x198 + x214
       + x230 + x246 + x262 + x278 + x294 + x310 + x326 + x342 + x358 + x374
       + x390 + x406 + x422 + x438 + x454 + x470 + x486 + x502 + x518 + x534
       + x550 + x566 =L= 1;

e22..    x71 + x87 + x103 + x119 + x135 + x151 + x167 + x183 + x199 + x215
       + x231 + x247 + x263 + x279 + x295 + x311 + x327 + x343 + x359 + x375
       + x391 + x407 + x423 + x439 + x455 + x471 + x487 + x503 + x519 + x535
       + x551 + x567 =L= 1;

e23..    x72 + x88 + x104 + x120 + x136 + x152 + x168 + x184 + x200 + x216
       + x232 + x248 + x264 + x280 + x296 + x312 + x328 + x344 + x360 + x376
       + x392 + x408 + x424 + x440 + x456 + x472 + x488 + x504 + x520 + x536
       + x552 + x568 =L= 1;

e24..    x73 + x89 + x105 + x121 + x137 + x153 + x169 + x185 + x201 + x217
       + x233 + x249 + x265 + x281 + x297 + x313 + x329 + x345 + x361 + x377
       + x393 + x409 + x425 + x441 + x457 + x473 + x489 + x505 + x521 + x537
       + x553 + x569 =L= 1;

e25..    x74 + x90 + x106 + x122 + x138 + x154 + x170 + x186 + x202 + x218
       + x234 + x250 + x266 + x282 + x298 + x314 + x330 + x346 + x362 + x378
       + x394 + x410 + x426 + x442 + x458 + x474 + x490 + x506 + x522 + x538
       + x554 + x570 =L= 1;

e26..    x75 + x91 + x107 + x123 + x139 + x155 + x171 + x187 + x203 + x219
       + x235 + x251 + x267 + x283 + x299 + x315 + x331 + x347 + x363 + x379
       + x395 + x411 + x427 + x443 + x459 + x475 + x491 + x507 + x523 + x539
       + x555 + x571 =L= 1;

e27..    x76 + x92 + x108 + x124 + x140 + x156 + x172 + x188 + x204 + x220
       + x236 + x252 + x268 + x284 + x300 + x316 + x332 + x348 + x364 + x380
       + x396 + x412 + x428 + x444 + x460 + x476 + x492 + x508 + x524 + x540
       + x556 + x572 =L= 1;

e28..    x77 + x93 + x109 + x125 + x141 + x157 + x173 + x189 + x205 + x221
       + x237 + x253 + x269 + x285 + x301 + x317 + x333 + x349 + x365 + x381
       + x397 + x413 + x429 + x445 + x461 + x477 + x493 + x509 + x525 + x541
       + x557 + x573 =L= 1;

e29..    x78 + x94 + x110 + x126 + x142 + x158 + x174 + x190 + x206 + x222
       + x238 + x254 + x270 + x286 + x302 + x318 + x334 + x350 + x366 + x382
       + x398 + x414 + x430 + x446 + x462 + x478 + x494 + x510 + x526 + x542
       + x558 + x574 =L= 1;

e30..    x79 + x95 + x111 + x127 + x143 + x159 + x175 + x191 + x207 + x223
       + x239 + x255 + x271 + x287 + x303 + x319 + x335 + x351 + x367 + x383
       + x399 + x415 + x431 + x447 + x463 + x479 + x495 + x511 + x527 + x543
       + x559 + x575 =L= 1;

e31..    x80 + x96 + x112 + x128 + x144 + x160 + x176 + x192 + x208 + x224
       + x240 + x256 + x272 + x288 + x304 + x320 + x336 + x352 + x368 + x384
       + x400 + x416 + x432 + x448 + x464 + x480 + x496 + x512 + x528 + x544
       + x560 + x576 =L= 1;

e32..    x81 + x97 + x113 + x129 + x145 + x161 + x177 + x193 + x209 + x225
       + x241 + x257 + x273 + x289 + x305 + x321 + x337 + x353 + x369 + x385
       + x401 + x417 + x433 + x449 + x465 + x481 + x497 + x513 + x529 + x545
       + x561 + x577 =L= 1;

e33..    0.95*x66 + 0.95*x82 + 0.85*x98 + 0.85*x114 + 0.85*x130 + 0.75*x146
       + 0.75*x162 + 0.75*x178 + 0.65*x194 + 0.65*x210 + 0.65*x226 + 0.65*x242
       + 0.55*x258 + 0.55*x274 + 0.55*x290 + 0.45*x306 + 0.45*x322 + 0.35*x338
       + 0.35*x354 + 0.35*x370 + 0.25*x386 + 0.25*x402 + 0.25*x418 + 0.25*x434
       + 0.15*x450 + 0.15*x466 + 0.15*x482 + 0.05*x498 + 0.05*x514 + 0.05*x530
       - 0.05*x546 - 0.05*x562 =L= 0;

e34..    0.9*x67 + 0.9*x83 + 0.8*x99 + 0.8*x115 + 0.8*x131 + 0.7*x147
       + 0.7*x163 + 0.7*x179 + 0.6*x195 + 0.6*x211 + 0.6*x227 + 0.6*x243
       + 0.5*x259 + 0.5*x275 + 0.5*x291 + 0.4*x307 + 0.4*x323 + 0.3*x339
       + 0.3*x355 + 0.3*x371 + 0.2*x387 + 0.2*x403 + 0.2*x419 + 0.2*x435
       + 0.0999999999999999*x451 + 0.0999999999999999*x467
       + 0.0999999999999999*x483 - 0.1*x547 - 0.1*x563 =L= 0;

e35..    0.85*x68 + 0.85*x84 + 0.75*x100 + 0.75*x116 + 0.75*x132 + 0.65*x148
       + 0.65*x164 + 0.65*x180 + 0.55*x196 + 0.55*x212 + 0.55*x228 + 0.55*x244
       + 0.45*x260 + 0.45*x276 + 0.45*x292 + 0.35*x308 + 0.35*x324 + 0.25*x340
       + 0.25*x356 + 0.25*x372 + 0.15*x388 + 0.15*x404 + 0.15*x420 + 0.15*x436
       + 0.05*x452 + 0.05*x468 + 0.05*x484 - 0.0499999999999998*x500
       - 0.0499999999999998*x516 - 0.0499999999999998*x532 - 0.15*x548
       - 0.15*x564 =L= 0;

e36..    0.8*x69 + 0.8*x85 + 0.7*x101 + 0.7*x117 + 0.7*x133 + 0.6*x149
       + 0.6*x165 + 0.6*x181 + 0.5*x197 + 0.5*x213 + 0.5*x229 + 0.5*x245
       + 0.4*x261 + 0.4*x277 + 0.4*x293 + 0.3*x309 + 0.3*x325 + 0.2*x341
       + 0.2*x357 + 0.2*x373 + 0.1*x389 + 0.1*x405 + 0.1*x421 + 0.1*x437
       - 0.0999999999999999*x501 - 0.0999999999999999*x517
       - 0.0999999999999999*x533 - 0.2*x549 - 0.2*x565 =L= 0;

e37..    0.75*x70 + 0.75*x86 + 0.65*x102 + 0.65*x118 + 0.65*x134 + 0.55*x150
       + 0.55*x166 + 0.55*x182 + 0.45*x198 + 0.45*x214 + 0.45*x230 + 0.45*x246
       + 0.35*x262 + 0.35*x278 + 0.35*x294 + 0.25*x310 + 0.25*x326 + 0.15*x342
       + 0.15*x358 + 0.15*x374 + 0.05*x390 + 0.05*x406 + 0.05*x422 + 0.05*x438
       - 0.05*x454 - 0.05*x470 - 0.05*x486 - 0.15*x502 - 0.15*x518 - 0.15*x534
       - 0.25*x550 - 0.25*x566 =L= 0;

e38..    0.7*x71 + 0.7*x87 + 0.6*x103 + 0.6*x119 + 0.6*x135 + 0.5*x151
       + 0.5*x167 + 0.5*x183 + 0.4*x199 + 0.4*x215 + 0.4*x231 + 0.4*x247
       + 0.3*x263 + 0.3*x279 + 0.3*x295 + 0.2*x311 + 0.2*x327
       + 0.0999999999999999*x343 + 0.0999999999999999*x359
       + 0.0999999999999999*x375 - 0.1*x455 - 0.1*x471 - 0.1*x487 - 0.2*x503
       - 0.2*x519 - 0.2*x535 - 0.3*x551 - 0.3*x567 =L= 0;

e39..    0.65*x72 + 0.65*x88 + 0.55*x104 + 0.55*x120 + 0.55*x136 + 0.45*x152
       + 0.45*x168 + 0.45*x184 + 0.35*x200 + 0.35*x216 + 0.35*x232 + 0.35*x248
       + 0.25*x264 + 0.25*x280 + 0.25*x296 + 0.15*x312 + 0.15*x328
       + 0.0499999999999998*x344 + 0.0499999999999998*x360
       + 0.0499999999999998*x376 - 0.05*x392 - 0.05*x408 - 0.05*x424
       - 0.05*x440 - 0.15*x456 - 0.15*x472 - 0.15*x488 - 0.25*x504 - 0.25*x520
       - 0.25*x536 - 0.35*x552 - 0.35*x568 =L= 0;

e40..    0.6*x73 + 0.6*x89 + 0.5*x105 + 0.5*x121 + 0.5*x137 + 0.4*x153
       + 0.4*x169 + 0.4*x185 + 0.3*x201 + 0.3*x217 + 0.3*x233 + 0.3*x249
       + 0.2*x265 + 0.2*x281 + 0.2*x297 + 0.1*x313 + 0.1*x329
       - 0.0999999999999999*x393 - 0.0999999999999999*x409
       - 0.0999999999999999*x425 - 0.0999999999999999*x441 - 0.2*x457
       - 0.2*x473 - 0.2*x489 - 0.3*x505 - 0.3*x521 - 0.3*x537 - 0.4*x553
       - 0.4*x569 =L= 0;

e41..    0.55*x74 + 0.55*x90 + 0.45*x106 + 0.45*x122 + 0.45*x138 + 0.35*x154
       + 0.35*x170 + 0.35*x186 + 0.25*x202 + 0.25*x218 + 0.25*x234 + 0.25*x250
       + 0.15*x266 + 0.15*x282 + 0.15*x298 + 0.05*x314 + 0.05*x330 - 0.05*x346
       - 0.05*x362 - 0.05*x378 - 0.15*x394 - 0.15*x410 - 0.15*x426 - 0.15*x442
       - 0.25*x458 - 0.25*x474 - 0.25*x490 - 0.35*x506 - 0.35*x522 - 0.35*x538
       - 0.45*x554 - 0.45*x570 =L= 0;

e42..    0.5*x75 + 0.5*x91 + 0.4*x107 + 0.4*x123 + 0.4*x139 + 0.3*x155
       + 0.3*x171 + 0.3*x187 + 0.2*x203 + 0.2*x219 + 0.2*x235 + 0.2*x251
       + 0.1*x267 + 0.1*x283 + 0.1*x299 - 0.1*x347 - 0.1*x363 - 0.1*x379
       - 0.2*x395 - 0.2*x411 - 0.2*x427 - 0.2*x443 - 0.3*x459 - 0.3*x475
       - 0.3*x491 - 0.4*x507 - 0.4*x523 - 0.4*x539 - 0.5*x555 - 0.5*x571 =L= 0;

e43..    0.45*x76 + 0.45*x92 + 0.35*x108 + 0.35*x124 + 0.35*x140 + 0.25*x156
       + 0.25*x172 + 0.25*x188 + 0.15*x204 + 0.15*x220 + 0.15*x236 + 0.15*x252
       + 0.05*x268 + 0.05*x284 + 0.05*x300 - 0.05*x316 - 0.05*x332 - 0.15*x348
       - 0.15*x364 - 0.15*x380 - 0.25*x396 - 0.25*x412 - 0.25*x428 - 0.25*x444
       - 0.35*x460 - 0.35*x476 - 0.35*x492 - 0.45*x508 - 0.45*x524 - 0.45*x540
       - 0.55*x556 - 0.55*x572 =L= 0;

e44..    0.4*x77 + 0.4*x93 + 0.3*x109 + 0.3*x125 + 0.3*x141 + 0.2*x157
       + 0.2*x173 + 0.2*x189 + 0.0999999999999999*x205
       + 0.0999999999999999*x221 + 0.0999999999999999*x237
       + 0.0999999999999999*x253 - 0.1*x317 - 0.1*x333 - 0.2*x349 - 0.2*x365
       - 0.2*x381 - 0.3*x397 - 0.3*x413 - 0.3*x429 - 0.3*x445 - 0.4*x461
       - 0.4*x477 - 0.4*x493 - 0.5*x509 - 0.5*x525 - 0.5*x541 - 0.6*x557
       - 0.6*x573 =L= 0;

e45..    0.35*x78 + 0.35*x94 + 0.25*x110 + 0.25*x126 + 0.25*x142 + 0.15*x158
       + 0.15*x174 + 0.15*x190 + 0.05*x206 + 0.05*x222 + 0.05*x238 + 0.05*x254
       - 0.0499999999999998*x270 - 0.0499999999999998*x286
       - 0.0499999999999998*x302 - 0.15*x318 - 0.15*x334 - 0.25*x350
       - 0.25*x366 - 0.25*x382 - 0.35*x398 - 0.35*x414 - 0.35*x430 - 0.35*x446
       - 0.45*x462 - 0.45*x478 - 0.45*x494 - 0.55*x510 - 0.55*x526 - 0.55*x542
       - 0.65*x558 - 0.65*x574 =L= 0;

e46..    0.3*x79 + 0.3*x95 + 0.2*x111 + 0.2*x127 + 0.2*x143 + 0.1*x159
       + 0.1*x175 + 0.1*x191 - 0.0999999999999999*x271
       - 0.0999999999999999*x287 - 0.0999999999999999*x303 - 0.2*x319
       - 0.2*x335 - 0.3*x351 - 0.3*x367 - 0.3*x383 - 0.4*x399 - 0.4*x415
       - 0.4*x431 - 0.4*x447 - 0.5*x463 - 0.5*x479 - 0.5*x495 - 0.6*x511
       - 0.6*x527 - 0.6*x543 - 0.7*x559 - 0.7*x575 =L= 0;

e47..    0.25*x80 + 0.25*x96 + 0.15*x112 + 0.15*x128 + 0.15*x144 + 0.05*x160
       + 0.05*x176 + 0.05*x192 - 0.05*x208 - 0.05*x224 - 0.05*x240 - 0.05*x256
       - 0.15*x272 - 0.15*x288 - 0.15*x304 - 0.25*x320 - 0.25*x336 - 0.35*x352
       - 0.35*x368 - 0.35*x384 - 0.45*x400 - 0.45*x416 - 0.45*x432 - 0.45*x448
       - 0.55*x464 - 0.55*x480 - 0.55*x496 - 0.65*x512 - 0.65*x528 - 0.65*x544
       - 0.75*x560 - 0.75*x576 =L= 0;

e48..    0.2*x81 + 0.2*x97 + 0.0999999999999999*x113 + 0.0999999999999999*x129
       + 0.0999999999999999*x145 - 0.1*x209 - 0.1*x225 - 0.1*x241 - 0.1*x257
       - 0.2*x273 - 0.2*x289 - 0.2*x305 - 0.3*x321 - 0.3*x337 - 0.4*x353
       - 0.4*x369 - 0.4*x385 - 0.5*x401 - 0.5*x417 - 0.5*x433 - 0.5*x449
       - 0.6*x465 - 0.6*x481 - 0.6*x497 - 0.7*x513 - 0.7*x529 - 0.7*x545
       - 0.8*x561 - 0.8*x577 =L= 0;

e49..    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14
       + x15 + x16 + x17 =E= 1;

e50..    x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26 + x27 + x28 + x29
       + x30 + x31 + x32 + x33 =E= 1;

e51..    x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 + x43 + x44 + x45
       + x46 + x47 + x48 + x49 =E= 1;

e52..    x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60 + x61
       + x62 + x63 + x64 + x65 =E= 1;

e53.. -x2*x578 + x66 =E= 0;

e54.. -x3*x578 + x67 =E= 0;

e55.. -x4*x578 + x68 =E= 0;

e56.. -x5*x578 + x69 =E= 0;

e57.. -x6*x578 + x70 =E= 0;

e58.. -x7*x578 + x71 =E= 0;

e59.. -x8*x578 + x72 =E= 0;

e60.. -x9*x578 + x73 =E= 0;

e61.. -x10*x578 + x74 =E= 0;

e62.. -x11*x578 + x75 =E= 0;

e63.. -x12*x578 + x76 =E= 0;

e64.. -x13*x578 + x77 =E= 0;

e65.. -x14*x578 + x78 =E= 0;

e66.. -x15*x578 + x79 =E= 0;

e67.. -x16*x578 + x80 =E= 0;

e68.. -x17*x578 + x81 =E= 0;

e69.. -x34*x579 + x82 =E= 0;

e70.. -x35*x579 + x83 =E= 0;

e71.. -x36*x579 + x84 =E= 0;

e72.. -x37*x579 + x85 =E= 0;

e73.. -x38*x579 + x86 =E= 0;

e74.. -x39*x579 + x87 =E= 0;

e75.. -x40*x579 + x88 =E= 0;

e76.. -x41*x579 + x89 =E= 0;

e77.. -x42*x579 + x90 =E= 0;

e78.. -x43*x579 + x91 =E= 0;

e79.. -x44*x579 + x92 =E= 0;

e80.. -x45*x579 + x93 =E= 0;

e81.. -x46*x579 + x94 =E= 0;

e82.. -x47*x579 + x95 =E= 0;

e83.. -x48*x579 + x96 =E= 0;

e84.. -x49*x579 + x97 =E= 0;

e85.. -x2*x580 + x98 =E= 0;

e86.. -x3*x580 + x99 =E= 0;

e87.. -x4*x580 + x100 =E= 0;

e88.. -x5*x580 + x101 =E= 0;

e89.. -x6*x580 + x102 =E= 0;

e90.. -x7*x580 + x103 =E= 0;

e91.. -x8*x580 + x104 =E= 0;

e92.. -x9*x580 + x105 =E= 0;

e93.. -x10*x580 + x106 =E= 0;

e94.. -x11*x580 + x107 =E= 0;

e95.. -x12*x580 + x108 =E= 0;

e96.. -x13*x580 + x109 =E= 0;

e97.. -x14*x580 + x110 =E= 0;

e98.. -x15*x580 + x111 =E= 0;

e99.. -x16*x580 + x112 =E= 0;

e100.. -x17*x580 + x113 =E= 0;

e101.. -x18*x581 + x114 =E= 0;

e102.. -x19*x581 + x115 =E= 0;

e103.. -x20*x581 + x116 =E= 0;

e104.. -x21*x581 + x117 =E= 0;

e105.. -x22*x581 + x118 =E= 0;

e106.. -x23*x581 + x119 =E= 0;

e107.. -x24*x581 + x120 =E= 0;

e108.. -x25*x581 + x121 =E= 0;

e109.. -x26*x581 + x122 =E= 0;

e110.. -x27*x581 + x123 =E= 0;

e111.. -x28*x581 + x124 =E= 0;

e112.. -x29*x581 + x125 =E= 0;

e113.. -x30*x581 + x126 =E= 0;

e114.. -x31*x581 + x127 =E= 0;

e115.. -x32*x581 + x128 =E= 0;

e116.. -x33*x581 + x129 =E= 0;

e117.. -x34*x582 + x130 =E= 0;

e118.. -x35*x582 + x131 =E= 0;

e119.. -x36*x582 + x132 =E= 0;

e120.. -x37*x582 + x133 =E= 0;

e121.. -x38*x582 + x134 =E= 0;

e122.. -x39*x582 + x135 =E= 0;

e123.. -x40*x582 + x136 =E= 0;

e124.. -x41*x582 + x137 =E= 0;

e125.. -x42*x582 + x138 =E= 0;

e126.. -x43*x582 + x139 =E= 0;

e127.. -x44*x582 + x140 =E= 0;

e128.. -x45*x582 + x141 =E= 0;

e129.. -x46*x582 + x142 =E= 0;

e130.. -x47*x582 + x143 =E= 0;

e131.. -x48*x582 + x144 =E= 0;

e132.. -x49*x582 + x145 =E= 0;

e133.. -x2*x583 + x146 =E= 0;

e134.. -x3*x583 + x147 =E= 0;

e135.. -x4*x583 + x148 =E= 0;

e136.. -x5*x583 + x149 =E= 0;

e137.. -x6*x583 + x150 =E= 0;

e138.. -x7*x583 + x151 =E= 0;

e139.. -x8*x583 + x152 =E= 0;

e140.. -x9*x583 + x153 =E= 0;

e141.. -x10*x583 + x154 =E= 0;

e142.. -x11*x583 + x155 =E= 0;

e143.. -x12*x583 + x156 =E= 0;

e144.. -x13*x583 + x157 =E= 0;

e145.. -x14*x583 + x158 =E= 0;

e146.. -x15*x583 + x159 =E= 0;

e147.. -x16*x583 + x160 =E= 0;

e148.. -x17*x583 + x161 =E= 0;

e149.. -x18*x584 + x162 =E= 0;

e150.. -x19*x584 + x163 =E= 0;

e151.. -x20*x584 + x164 =E= 0;

e152.. -x21*x584 + x165 =E= 0;

e153.. -x22*x584 + x166 =E= 0;

e154.. -x23*x584 + x167 =E= 0;

e155.. -x24*x584 + x168 =E= 0;

e156.. -x25*x584 + x169 =E= 0;

e157.. -x26*x584 + x170 =E= 0;

e158.. -x27*x584 + x171 =E= 0;

e159.. -x28*x584 + x172 =E= 0;

e160.. -x29*x584 + x173 =E= 0;

e161.. -x30*x584 + x174 =E= 0;

e162.. -x31*x584 + x175 =E= 0;

e163.. -x32*x584 + x176 =E= 0;

e164.. -x33*x584 + x177 =E= 0;

e165.. -x34*x585 + x178 =E= 0;

e166.. -x35*x585 + x179 =E= 0;

e167.. -x36*x585 + x180 =E= 0;

e168.. -x37*x585 + x181 =E= 0;

e169.. -x38*x585 + x182 =E= 0;

e170.. -x39*x585 + x183 =E= 0;

e171.. -x40*x585 + x184 =E= 0;

e172.. -x41*x585 + x185 =E= 0;

e173.. -x42*x585 + x186 =E= 0;

e174.. -x43*x585 + x187 =E= 0;

e175.. -x44*x585 + x188 =E= 0;

e176.. -x45*x585 + x189 =E= 0;

e177.. -x46*x585 + x190 =E= 0;

e178.. -x47*x585 + x191 =E= 0;

e179.. -x48*x585 + x192 =E= 0;

e180.. -x49*x585 + x193 =E= 0;

e181.. -x2*x586 + x194 =E= 0;

e182.. -x3*x586 + x195 =E= 0;

e183.. -x4*x586 + x196 =E= 0;

e184.. -x5*x586 + x197 =E= 0;

e185.. -x6*x586 + x198 =E= 0;

e186.. -x7*x586 + x199 =E= 0;

e187.. -x8*x586 + x200 =E= 0;

e188.. -x9*x586 + x201 =E= 0;

e189.. -x10*x586 + x202 =E= 0;

e190.. -x11*x586 + x203 =E= 0;

e191.. -x12*x586 + x204 =E= 0;

e192.. -x13*x586 + x205 =E= 0;

e193.. -x14*x586 + x206 =E= 0;

e194.. -x15*x586 + x207 =E= 0;

e195.. -x16*x586 + x208 =E= 0;

e196.. -x17*x586 + x209 =E= 0;

e197.. -x18*x587 + x210 =E= 0;

e198.. -x19*x587 + x211 =E= 0;

e199.. -x20*x587 + x212 =E= 0;

e200.. -x21*x587 + x213 =E= 0;

e201.. -x22*x587 + x214 =E= 0;

e202.. -x23*x587 + x215 =E= 0;

e203.. -x24*x587 + x216 =E= 0;

e204.. -x25*x587 + x217 =E= 0;

e205.. -x26*x587 + x218 =E= 0;

e206.. -x27*x587 + x219 =E= 0;

e207.. -x28*x587 + x220 =E= 0;

e208.. -x29*x587 + x221 =E= 0;

e209.. -x30*x587 + x222 =E= 0;

e210.. -x31*x587 + x223 =E= 0;

e211.. -x32*x587 + x224 =E= 0;

e212.. -x33*x587 + x225 =E= 0;

e213.. -x34*x588 + x226 =E= 0;

e214.. -x35*x588 + x227 =E= 0;

e215.. -x36*x588 + x228 =E= 0;

e216.. -x37*x588 + x229 =E= 0;

e217.. -x38*x588 + x230 =E= 0;

e218.. -x39*x588 + x231 =E= 0;

e219.. -x40*x588 + x232 =E= 0;

e220.. -x41*x588 + x233 =E= 0;

e221.. -x42*x588 + x234 =E= 0;

e222.. -x43*x588 + x235 =E= 0;

e223.. -x44*x588 + x236 =E= 0;

e224.. -x45*x588 + x237 =E= 0;

e225.. -x46*x588 + x238 =E= 0;

e226.. -x47*x588 + x239 =E= 0;

e227.. -x48*x588 + x240 =E= 0;

e228.. -x49*x588 + x241 =E= 0;

e229.. -x50*x589 + x242 =E= 0;

e230.. -x51*x589 + x243 =E= 0;

e231.. -x52*x589 + x244 =E= 0;

e232.. -x53*x589 + x245 =E= 0;

e233.. -x54*x589 + x246 =E= 0;

e234.. -x55*x589 + x247 =E= 0;

e235.. -x56*x589 + x248 =E= 0;

e236.. -x57*x589 + x249 =E= 0;

e237.. -x58*x589 + x250 =E= 0;

e238.. -x59*x589 + x251 =E= 0;

e239.. -x60*x589 + x252 =E= 0;

e240.. -x61*x589 + x253 =E= 0;

e241.. -x62*x589 + x254 =E= 0;

e242.. -x63*x589 + x255 =E= 0;

e243.. -x64*x589 + x256 =E= 0;

e244.. -x65*x589 + x257 =E= 0;

e245.. -x18*x590 + x258 =E= 0;

e246.. -x19*x590 + x259 =E= 0;

e247.. -x20*x590 + x260 =E= 0;

e248.. -x21*x590 + x261 =E= 0;

e249.. -x22*x590 + x262 =E= 0;

e250.. -x23*x590 + x263 =E= 0;

e251.. -x24*x590 + x264 =E= 0;

e252.. -x25*x590 + x265 =E= 0;

e253.. -x26*x590 + x266 =E= 0;

e254.. -x27*x590 + x267 =E= 0;

e255.. -x28*x590 + x268 =E= 0;

e256.. -x29*x590 + x269 =E= 0;

e257.. -x30*x590 + x270 =E= 0;

e258.. -x31*x590 + x271 =E= 0;

e259.. -x32*x590 + x272 =E= 0;

e260.. -x33*x590 + x273 =E= 0;

e261.. -x34*x591 + x274 =E= 0;

e262.. -x35*x591 + x275 =E= 0;

e263.. -x36*x591 + x276 =E= 0;

e264.. -x37*x591 + x277 =E= 0;

e265.. -x38*x591 + x278 =E= 0;

e266.. -x39*x591 + x279 =E= 0;

e267.. -x40*x591 + x280 =E= 0;

e268.. -x41*x591 + x281 =E= 0;

e269.. -x42*x591 + x282 =E= 0;

e270.. -x43*x591 + x283 =E= 0;

e271.. -x44*x591 + x284 =E= 0;

e272.. -x45*x591 + x285 =E= 0;

e273.. -x46*x591 + x286 =E= 0;

e274.. -x47*x591 + x287 =E= 0;

e275.. -x48*x591 + x288 =E= 0;

e276.. -x49*x591 + x289 =E= 0;

e277.. -x50*x592 + x290 =E= 0;

e278.. -x51*x592 + x291 =E= 0;

e279.. -x52*x592 + x292 =E= 0;

e280.. -x53*x592 + x293 =E= 0;

e281.. -x54*x592 + x294 =E= 0;

e282.. -x55*x592 + x295 =E= 0;

e283.. -x56*x592 + x296 =E= 0;

e284.. -x57*x592 + x297 =E= 0;

e285.. -x58*x592 + x298 =E= 0;

e286.. -x59*x592 + x299 =E= 0;

e287.. -x60*x592 + x300 =E= 0;

e288.. -x61*x592 + x301 =E= 0;

e289.. -x62*x592 + x302 =E= 0;

e290.. -x63*x592 + x303 =E= 0;

e291.. -x64*x592 + x304 =E= 0;

e292.. -x65*x592 + x305 =E= 0;

e293.. -x34*x593 + x306 =E= 0;

e294.. -x35*x593 + x307 =E= 0;

e295.. -x36*x593 + x308 =E= 0;

e296.. -x37*x593 + x309 =E= 0;

e297.. -x38*x593 + x310 =E= 0;

e298.. -x39*x593 + x311 =E= 0;

e299.. -x40*x593 + x312 =E= 0;

e300.. -x41*x593 + x313 =E= 0;

e301.. -x42*x593 + x314 =E= 0;

e302.. -x43*x593 + x315 =E= 0;

e303.. -x44*x593 + x316 =E= 0;

e304.. -x45*x593 + x317 =E= 0;

e305.. -x46*x593 + x318 =E= 0;

e306.. -x47*x593 + x319 =E= 0;

e307.. -x48*x593 + x320 =E= 0;

e308.. -x49*x593 + x321 =E= 0;

e309.. -x50*x594 + x322 =E= 0;

e310.. -x51*x594 + x323 =E= 0;

e311.. -x52*x594 + x324 =E= 0;

e312.. -x53*x594 + x325 =E= 0;

e313.. -x54*x594 + x326 =E= 0;

e314.. -x55*x594 + x327 =E= 0;

e315.. -x56*x594 + x328 =E= 0;

e316.. -x57*x594 + x329 =E= 0;

e317.. -x58*x594 + x330 =E= 0;

e318.. -x59*x594 + x331 =E= 0;

e319.. -x60*x594 + x332 =E= 0;

e320.. -x61*x594 + x333 =E= 0;

e321.. -x62*x594 + x334 =E= 0;

e322.. -x63*x594 + x335 =E= 0;

e323.. -x64*x594 + x336 =E= 0;

e324.. -x65*x594 + x337 =E= 0;

e325.. -x18*x595 + x338 =E= 0;

e326.. -x19*x595 + x339 =E= 0;

e327.. -x20*x595 + x340 =E= 0;

e328.. -x21*x595 + x341 =E= 0;

e329.. -x22*x595 + x342 =E= 0;

e330.. -x23*x595 + x343 =E= 0;

e331.. -x24*x595 + x344 =E= 0;

e332.. -x25*x595 + x345 =E= 0;

e333.. -x26*x595 + x346 =E= 0;

e334.. -x27*x595 + x347 =E= 0;

e335.. -x28*x595 + x348 =E= 0;

e336.. -x29*x595 + x349 =E= 0;

e337.. -x30*x595 + x350 =E= 0;

e338.. -x31*x595 + x351 =E= 0;

e339.. -x32*x595 + x352 =E= 0;

e340.. -x33*x595 + x353 =E= 0;

e341.. -x34*x596 + x354 =E= 0;

e342.. -x35*x596 + x355 =E= 0;

e343.. -x36*x596 + x356 =E= 0;

e344.. -x37*x596 + x357 =E= 0;

e345.. -x38*x596 + x358 =E= 0;

e346.. -x39*x596 + x359 =E= 0;

e347.. -x40*x596 + x360 =E= 0;

e348.. -x41*x596 + x361 =E= 0;

e349.. -x42*x596 + x362 =E= 0;

e350.. -x43*x596 + x363 =E= 0;

e351.. -x44*x596 + x364 =E= 0;

e352.. -x45*x596 + x365 =E= 0;

e353.. -x46*x596 + x366 =E= 0;

e354.. -x47*x596 + x367 =E= 0;

e355.. -x48*x596 + x368 =E= 0;

e356.. -x49*x596 + x369 =E= 0;

e357.. -x50*x597 + x370 =E= 0;

e358.. -x51*x597 + x371 =E= 0;

e359.. -x52*x597 + x372 =E= 0;

e360.. -x53*x597 + x373 =E= 0;

e361.. -x54*x597 + x374 =E= 0;

e362.. -x55*x597 + x375 =E= 0;

e363.. -x56*x597 + x376 =E= 0;

e364.. -x57*x597 + x377 =E= 0;

e365.. -x58*x597 + x378 =E= 0;

e366.. -x59*x597 + x379 =E= 0;

e367.. -x60*x597 + x380 =E= 0;

e368.. -x61*x597 + x381 =E= 0;

e369.. -x62*x597 + x382 =E= 0;

e370.. -x63*x597 + x383 =E= 0;

e371.. -x64*x597 + x384 =E= 0;

e372.. -x65*x597 + x385 =E= 0;

e373.. -x2*x598 + x386 =E= 0;

e374.. -x3*x598 + x387 =E= 0;

e375.. -x4*x598 + x388 =E= 0;

e376.. -x5*x598 + x389 =E= 0;

e377.. -x6*x598 + x390 =E= 0;

e378.. -x7*x598 + x391 =E= 0;

e379.. -x8*x598 + x392 =E= 0;

e380.. -x9*x598 + x393 =E= 0;

e381.. -x10*x598 + x394 =E= 0;

e382.. -x11*x598 + x395 =E= 0;

e383.. -x12*x598 + x396 =E= 0;

e384.. -x13*x598 + x397 =E= 0;

e385.. -x14*x598 + x398 =E= 0;

e386.. -x15*x598 + x399 =E= 0;

e387.. -x16*x598 + x400 =E= 0;

e388.. -x17*x598 + x401 =E= 0;

e389.. -x18*x599 + x402 =E= 0;

e390.. -x19*x599 + x403 =E= 0;

e391.. -x20*x599 + x404 =E= 0;

e392.. -x21*x599 + x405 =E= 0;

e393.. -x22*x599 + x406 =E= 0;

e394.. -x23*x599 + x407 =E= 0;

e395.. -x24*x599 + x408 =E= 0;

e396.. -x25*x599 + x409 =E= 0;

e397.. -x26*x599 + x410 =E= 0;

e398.. -x27*x599 + x411 =E= 0;

e399.. -x28*x599 + x412 =E= 0;

e400.. -x29*x599 + x413 =E= 0;

e401.. -x30*x599 + x414 =E= 0;

e402.. -x31*x599 + x415 =E= 0;

e403.. -x32*x599 + x416 =E= 0;

e404.. -x33*x599 + x417 =E= 0;

e405.. -x34*x600 + x418 =E= 0;

e406.. -x35*x600 + x419 =E= 0;

e407.. -x36*x600 + x420 =E= 0;

e408.. -x37*x600 + x421 =E= 0;

e409.. -x38*x600 + x422 =E= 0;

e410.. -x39*x600 + x423 =E= 0;

e411.. -x40*x600 + x424 =E= 0;

e412.. -x41*x600 + x425 =E= 0;

e413.. -x42*x600 + x426 =E= 0;

e414.. -x43*x600 + x427 =E= 0;

e415.. -x44*x600 + x428 =E= 0;

e416.. -x45*x600 + x429 =E= 0;

e417.. -x46*x600 + x430 =E= 0;

e418.. -x47*x600 + x431 =E= 0;

e419.. -x48*x600 + x432 =E= 0;

e420.. -x49*x600 + x433 =E= 0;

e421.. -x50*x601 + x434 =E= 0;

e422.. -x51*x601 + x435 =E= 0;

e423.. -x52*x601 + x436 =E= 0;

e424.. -x53*x601 + x437 =E= 0;

e425.. -x54*x601 + x438 =E= 0;

e426.. -x55*x601 + x439 =E= 0;

e427.. -x56*x601 + x440 =E= 0;

e428.. -x57*x601 + x441 =E= 0;

e429.. -x58*x601 + x442 =E= 0;

e430.. -x59*x601 + x443 =E= 0;

e431.. -x60*x601 + x444 =E= 0;

e432.. -x61*x601 + x445 =E= 0;

e433.. -x62*x601 + x446 =E= 0;

e434.. -x63*x601 + x447 =E= 0;

e435.. -x64*x601 + x448 =E= 0;

e436.. -x65*x601 + x449 =E= 0;

e437.. -x2*x602 + x450 =E= 0;

e438.. -x3*x602 + x451 =E= 0;

e439.. -x4*x602 + x452 =E= 0;

e440.. -x5*x602 + x453 =E= 0;

e441.. -x6*x602 + x454 =E= 0;

e442.. -x7*x602 + x455 =E= 0;

e443.. -x8*x602 + x456 =E= 0;

e444.. -x9*x602 + x457 =E= 0;

e445.. -x10*x602 + x458 =E= 0;

e446.. -x11*x602 + x459 =E= 0;

e447.. -x12*x602 + x460 =E= 0;

e448.. -x13*x602 + x461 =E= 0;

e449.. -x14*x602 + x462 =E= 0;

e450.. -x15*x602 + x463 =E= 0;

e451.. -x16*x602 + x464 =E= 0;

e452.. -x17*x602 + x465 =E= 0;

e453.. -x18*x603 + x466 =E= 0;

e454.. -x19*x603 + x467 =E= 0;

e455.. -x20*x603 + x468 =E= 0;

e456.. -x21*x603 + x469 =E= 0;

e457.. -x22*x603 + x470 =E= 0;

e458.. -x23*x603 + x471 =E= 0;

e459.. -x24*x603 + x472 =E= 0;

e460.. -x25*x603 + x473 =E= 0;

e461.. -x26*x603 + x474 =E= 0;

e462.. -x27*x603 + x475 =E= 0;

e463.. -x28*x603 + x476 =E= 0;

e464.. -x29*x603 + x477 =E= 0;

e465.. -x30*x603 + x478 =E= 0;

e466.. -x31*x603 + x479 =E= 0;

e467.. -x32*x603 + x480 =E= 0;

e468.. -x33*x603 + x481 =E= 0;

e469.. -x50*x604 + x482 =E= 0;

e470.. -x51*x604 + x483 =E= 0;

e471.. -x52*x604 + x484 =E= 0;

e472.. -x53*x604 + x485 =E= 0;

e473.. -x54*x604 + x486 =E= 0;

e474.. -x55*x604 + x487 =E= 0;

e475.. -x56*x604 + x488 =E= 0;

e476.. -x57*x604 + x489 =E= 0;

e477.. -x58*x604 + x490 =E= 0;

e478.. -x59*x604 + x491 =E= 0;

e479.. -x60*x604 + x492 =E= 0;

e480.. -x61*x604 + x493 =E= 0;

e481.. -x62*x604 + x494 =E= 0;

e482.. -x63*x604 + x495 =E= 0;

e483.. -x64*x604 + x496 =E= 0;

e484.. -x65*x604 + x497 =E= 0;

e485.. -x2*x605 + x498 =E= 0;

e486.. -x3*x605 + x499 =E= 0;

e487.. -x4*x605 + x500 =E= 0;

e488.. -x5*x605 + x501 =E= 0;

e489.. -x6*x605 + x502 =E= 0;

e490.. -x7*x605 + x503 =E= 0;

e491.. -x8*x605 + x504 =E= 0;

e492.. -x9*x605 + x505 =E= 0;

e493.. -x10*x605 + x506 =E= 0;

e494.. -x11*x605 + x507 =E= 0;

e495.. -x12*x605 + x508 =E= 0;

e496.. -x13*x605 + x509 =E= 0;

e497.. -x14*x605 + x510 =E= 0;

e498.. -x15*x605 + x511 =E= 0;

e499.. -x16*x605 + x512 =E= 0;

e500.. -x17*x605 + x513 =E= 0;

e501.. -x18*x606 + x514 =E= 0;

e502.. -x19*x606 + x515 =E= 0;

e503.. -x20*x606 + x516 =E= 0;

e504.. -x21*x606 + x517 =E= 0;

e505.. -x22*x606 + x518 =E= 0;

e506.. -x23*x606 + x519 =E= 0;

e507.. -x24*x606 + x520 =E= 0;

e508.. -x25*x606 + x521 =E= 0;

e509.. -x26*x606 + x522 =E= 0;

e510.. -x27*x606 + x523 =E= 0;

e511.. -x28*x606 + x524 =E= 0;

e512.. -x29*x606 + x525 =E= 0;

e513.. -x30*x606 + x526 =E= 0;

e514.. -x31*x606 + x527 =E= 0;

e515.. -x32*x606 + x528 =E= 0;

e516.. -x33*x606 + x529 =E= 0;

e517.. -x50*x607 + x530 =E= 0;

e518.. -x51*x607 + x531 =E= 0;

e519.. -x52*x607 + x532 =E= 0;

e520.. -x53*x607 + x533 =E= 0;

e521.. -x54*x607 + x534 =E= 0;

e522.. -x55*x607 + x535 =E= 0;

e523.. -x56*x607 + x536 =E= 0;

e524.. -x57*x607 + x537 =E= 0;

e525.. -x58*x607 + x538 =E= 0;

e526.. -x59*x607 + x539 =E= 0;

e527.. -x60*x607 + x540 =E= 0;

e528.. -x61*x607 + x541 =E= 0;

e529.. -x62*x607 + x542 =E= 0;

e530.. -x63*x607 + x543 =E= 0;

e531.. -x64*x607 + x544 =E= 0;

e532.. -x65*x607 + x545 =E= 0;

e533.. -x2*x608 + x546 =E= 0;

e534.. -x3*x608 + x547 =E= 0;

e535.. -x4*x608 + x548 =E= 0;

e536.. -x5*x608 + x549 =E= 0;

e537.. -x6*x608 + x550 =E= 0;

e538.. -x7*x608 + x551 =E= 0;

e539.. -x8*x608 + x552 =E= 0;

e540.. -x9*x608 + x553 =E= 0;

e541.. -x10*x608 + x554 =E= 0;

e542.. -x11*x608 + x555 =E= 0;

e543.. -x12*x608 + x556 =E= 0;

e544.. -x13*x608 + x557 =E= 0;

e545.. -x14*x608 + x558 =E= 0;

e546.. -x15*x608 + x559 =E= 0;

e547.. -x16*x608 + x560 =E= 0;

e548.. -x17*x608 + x561 =E= 0;

e549.. -x50*x609 + x562 =E= 0;

e550.. -x51*x609 + x563 =E= 0;

e551.. -x52*x609 + x564 =E= 0;

e552.. -x53*x609 + x565 =E= 0;

e553.. -x54*x609 + x566 =E= 0;

e554.. -x55*x609 + x567 =E= 0;

e555.. -x56*x609 + x568 =E= 0;

e556.. -x57*x609 + x569 =E= 0;

e557.. -x58*x609 + x570 =E= 0;

e558.. -x59*x609 + x571 =E= 0;

e559.. -x60*x609 + x572 =E= 0;

e560.. -x61*x609 + x573 =E= 0;

e561.. -x62*x609 + x574 =E= 0;

e562.. -x63*x609 + x575 =E= 0;

e563.. -x64*x609 + x576 =E= 0;

e564.. -x65*x609 + x577 =E= 0;

* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
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 = 16;
x579.up = 16;
x580.up = 16;
x581.up = 16;
x582.up = 16;
x583.up = 16;
x584.up = 16;
x585.up = 16;
x586.up = 16;
x587.up = 16;
x588.up = 16;
x589.up = 16;
x590.up = 16;
x591.up = 16;
x592.up = 16;
x593.up = 16;
x594.up = 16;
x595.up = 16;
x596.up = 16;
x597.up = 16;
x598.up = 16;
x599.up = 16;
x600.up = 16;
x601.up = 16;
x602.up = 16;
x603.up = 16;
x604.up = 16;
x605.up = 16;
x606.up = 16;
x607.up = 16;
x608.up = 16;
x609.up = 16;

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: 2022-05-24 Git hash: 1198c186
Imprint / Privacy Policy / License: CC-BY 4.0