MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance ndcc14

Multicommodity network design problem with congestion constraints and fixed costs for opening arcs.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
111.26855740 p1 ( gdx sol )
(infeas: 4e-11)
110.32758230 p2 ( gdx sol )
(infeas: 2e-11)
Other points (infeas > 1e-08)  
Dual Bounds
65.50759962 (ANTIGONE)
71.39024198 (BARON)
57.82850189 (COUENNE)
66.29392006 (GUROBI)
64.21818301 (LINDO)
67.40439038 (SCIP)
69.13072828 (SHOT)
References Günlük, Oktay and Linderoth, Jeff T, Perspective reformulations of mixed integer nonlinear programs with indicator variables, Mathematical Programming, 124:1-2, 2010, 183-205.
Günlük, Oktay and Linderoth, Jeff T, Perspective Reformulation and Applications. In Lee, Jon and Leyffer, Sven, Eds, Mixed Integer Nonlinear Programming, Springer, 2012, 61-89.
Boorstyn, R R and Frank, H, Large-scale network topological optimization, IEEE Transactions on Communications, 25:1, 1977, 29-47.
Application Network Design
Added to library 28 Feb 2014
Problem type MBQCP
#Variables 864
#Binary Variables 54
#Integer Variables 0
#Nonlinear Variables 810
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 54
#Nonlinear Nonzeros in Objective 0
#Constraints 305
#Linear Constraints 251
#Quadratic Constraints 54
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 3186
#Nonlinear Nonzeros in Jacobian 810
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1512
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 54
Minimal blocksize in Hessian of Lagrangian 15
Maximal blocksize in Hessian of Lagrangian 15
Average blocksize in Hessian of Lagrangian 15.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 4.3700e+02
Infeasibility of initial point 218
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
*        306      197       54       55        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        865      811       54        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3241     2431      810        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766
          ,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779
          ,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792
          ,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805
          ,b806,b807,b808,b809,b810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,objvar;

Positive Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
          ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
          ,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
          ,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
          ,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
          ,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
          ,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
          ,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
          ,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
          ,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
          ,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517
          ,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530
          ,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543
          ,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556
          ,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569
          ,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582
          ,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595
          ,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608
          ,x609,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621
          ,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634
          ,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647
          ,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660
          ,x661,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673
          ,x674,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686
          ,x687,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699
          ,x700,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712
          ,x713,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725
          ,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738
          ,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751
          ,x752,x753,x754,x755,x756,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864;

Binary Variables  b757,b758,b759,b760,b761,b762,b763,b764,b765,b766,b767,b768
          ,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779,b780,b781
          ,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792,b793,b794
          ,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805,b806,b807
          ,b808,b809,b810;

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;


e1..  - 1.247902153*b757 - 3.853248292*b758 - 2.753881396*b759
      - 1.247902153*b760 - 2.115303802*b761 - 2.073122818*b762
      - 3.87564082*b763 - 2.537458771*b764 - 3.897053494*b765
      - 3.223097071*b766 - 3.077538217*b767 - 3.222690685*b768
      - 3.045368992*b769 - 1.256398027*b770 - 1.321513474*b771
      - 2.115303802*b772 - 3.077538217*b773 - 3.213749761*b774
      - 1.140696436*b775 - 3.853248292*b776 - 3.87564082*b777
      - 1.796801476*b778 - 1.930844545*b779 - 2.073122818*b780
      - 2.537458771*b781 - 1.796801476*b782 - 2.930918827*b783
      - 2.753881396*b784 - 3.897053494*b785 - 3.572642632*b786
      - 2.15701522*b787 - 1.061422612*b788 - 3.222690685*b789
      - 3.213749761*b790 - 3.867132154*b791 - 3.572642632*b792
      - 3.838723369*b793 - 3.223097071*b794 - 3.045368992*b795
      - 2.15701522*b796 - 3.867132154*b797 - 3.838723369*b798
      - 3.613241704*b799 - 1.140696436*b800 - 2.930918827*b801
      - 3.293067286*b802 - 1.256398027*b803 - 1.737076687*b804
      - 1.321513474*b805 - 1.930844545*b806 - 1.061422612*b807
      - 3.613241704*b808 - 3.293067286*b809 - 1.737076687*b810 + objvar =E= 0;

e2..  - x1 - x15 - x29 + x43 + x267 + x379 =E= -207;

e3..  - x2 - x16 - x30 + x44 + x268 + x380 =E= 8;

e4..  - x3 - x17 - x31 + x45 + x269 + x381 =E= 25;

e5..  - x4 - x18 - x32 + x46 + x270 + x382 =E= 16;

e6..  - x5 - x19 - x33 + x47 + x271 + x383 =E= 17;

e7..  - x6 - x20 - x34 + x48 + x272 + x384 =E= 6;

e8..  - x7 - x21 - x35 + x49 + x273 + x385 =E= 14;

e9..  - x8 - x22 - x36 + x50 + x274 + x386 =E= 19;

e10..  - x9 - x23 - x37 + x51 + x275 + x387 =E= 8;

e11..  - x10 - x24 - x38 + x52 + x276 + x388 =E= 17;

e12..  - x11 - x25 - x39 + x53 + x277 + x389 =E= 15;

e13..  - x12 - x26 - x40 + x54 + x278 + x390 =E= 19;

e14..  - x13 - x27 - x41 + x55 + x279 + x391 =E= 13;

e15..  - x14 - x28 - x42 + x56 + x280 + x392 =E= 21;

e16..    x1 - x43 - x57 - x71 + x211 + x323 =E= 11;

e17..    x2 - x44 - x58 - x72 + x212 + x324 =E= -165;

e18..    x3 - x45 - x59 - x73 + x213 + x325 =E= 11;

e19..    x4 - x46 - x60 - x74 + x214 + x326 =E= 11;

e20..    x5 - x47 - x61 - x75 + x215 + x327 =E= 23;

e21..    x6 - x48 - x62 - x76 + x216 + x328 =E= 16;

e22..    x7 - x49 - x63 - x77 + x217 + x329 =E= 23;

e23..    x8 - x50 - x64 - x78 + x218 + x330 =E= 15;

e24..    x9 - x51 - x65 - x79 + x219 + x331 =E= 14;

e25..    x10 - x52 - x66 - x80 + x220 + x332 =E= 13;

e26..    x11 - x53 - x67 - x81 + x221 + x333 =E= 10;

e27..    x12 - x54 - x68 - x82 + x222 + x334 =E= 16;

e28..    x13 - x55 - x69 - x83 + x223 + x335 =E= 21;

e29..    x14 - x56 - x70 - x84 + x224 + x336 =E= 13;

e30..  - x85 - x99 - x113 - x127 + x281 + x337 + x393 + x519 =E= 24;

e31..  - x86 - x100 - x114 - x128 + x282 + x338 + x394 + x520 =E= 14;

e32..  - x87 - x101 - x115 - x129 + x283 + x339 + x395 + x521 =E= -171;

e33..  - x88 - x102 - x116 - x130 + x284 + x340 + x396 + x522 =E= 19;

e34..  - x89 - x103 - x117 - x131 + x285 + x341 + x397 + x523 =E= 11;

e35..  - x90 - x104 - x118 - x132 + x286 + x342 + x398 + x524 =E= 15;

e36..  - x91 - x105 - x119 - x133 + x287 + x343 + x399 + x525 =E= 17;

e37..  - x92 - x106 - x120 - x134 + x288 + x344 + x400 + x526 =E= 5;

e38..  - x93 - x107 - x121 - x135 + x289 + x345 + x401 + x527 =E= 21;

e39..  - x94 - x108 - x122 - x136 + x290 + x346 + x402 + x528 =E= 23;

e40..  - x95 - x109 - x123 - x137 + x291 + x347 + x403 + x529 =E= 6;

e41..  - x96 - x110 - x124 - x138 + x292 + x348 + x404 + x530 =E= 22;

e42..  - x97 - x111 - x125 - x139 + x293 + x349 + x405 + x531 =E= 7;

e43..  - x98 - x112 - x126 - x140 + x294 + x350 + x406 + x532 =E= 6;

e44..  - x141 - x155 - x169 - x183 - x197 + x225 + x449 + x533 + x645 + x673
       =E= 23;

e45..  - x142 - x156 - x170 - x184 - x198 + x226 + x450 + x534 + x646 + x674
       =E= 17;

e46..  - x143 - x157 - x171 - x185 - x199 + x227 + x451 + x535 + x647 + x675
       =E= 7;

e47..  - x144 - x158 - x172 - x186 - x200 + x228 + x452 + x536 + x648 + x676
       =E= -199;

e48..  - x145 - x159 - x173 - x187 - x201 + x229 + x453 + x537 + x649 + x677
       =E= 12;

e49..  - x146 - x160 - x174 - x188 - x202 + x230 + x454 + x538 + x650 + x678
       =E= 22;

e50..  - x147 - x161 - x175 - x189 - x203 + x231 + x455 + x539 + x651 + x679
       =E= 18;

e51..  - x148 - x162 - x176 - x190 - x204 + x232 + x456 + x540 + x652 + x680
       =E= 7;

e52..  - x149 - x163 - x177 - x191 - x205 + x233 + x457 + x541 + x653 + x681
       =E= 9;

e53..  - x150 - x164 - x178 - x192 - x206 + x234 + x458 + x542 + x654 + x682
       =E= 10;

e54..  - x151 - x165 - x179 - x193 - x207 + x235 + x459 + x543 + x655 + x683
       =E= 17;

e55..  - x152 - x166 - x180 - x194 - x208 + x236 + x460 + x544 + x656 + x684
       =E= 11;

e56..  - x153 - x167 - x181 - x195 - x209 + x237 + x461 + x545 + x657 + x685
       =E= 23;

e57..  - x154 - x168 - x182 - x196 - x210 + x238 + x462 + x546 + x658 + x686
       =E= 15;

e58..    x57 + x141 - x211 - x225 - x239 - x253 + x463 + x603 =E= 15;

e59..    x58 + x142 - x212 - x226 - x240 - x254 + x464 + x604 =E= 25;

e60..    x59 + x143 - x213 - x227 - x241 - x255 + x465 + x605 =E= 23;

e61..    x60 + x144 - x214 - x228 - x242 - x256 + x466 + x606 =E= 5;

e62..    x61 + x145 - x215 - x229 - x243 - x257 + x467 + x607 =E= -218;

e63..    x62 + x146 - x216 - x230 - x244 - x258 + x468 + x608 =E= 25;

e64..    x63 + x147 - x217 - x231 - x245 - x259 + x469 + x609 =E= 16;

e65..    x64 + x148 - x218 - x232 - x246 - x260 + x470 + x610 =E= 12;

e66..    x65 + x149 - x219 - x233 - x247 - x261 + x471 + x611 =E= 7;

e67..    x66 + x150 - x220 - x234 - x248 - x262 + x472 + x612 =E= 5;

e68..    x67 + x151 - x221 - x235 - x249 - x263 + x473 + x613 =E= 19;

e69..    x68 + x152 - x222 - x236 - x250 - x264 + x474 + x614 =E= 12;

e70..    x69 + x153 - x223 - x237 - x251 - x265 + x475 + x615 =E= 23;

e71..    x70 + x154 - x224 - x238 - x252 - x266 + x476 + x616 =E= 19;

e72..    x15 + x85 - x267 - x281 - x295 - x309 + x351 + x687 =E= 12;

e73..    x16 + x86 - x268 - x282 - x296 - x310 + x352 + x688 =E= 6;

e74..    x17 + x87 - x269 - x283 - x297 - x311 + x353 + x689 =E= 10;

e75..    x18 + x88 - x270 - x284 - x298 - x312 + x354 + x690 =E= 11;

e76..    x19 + x89 - x271 - x285 - x299 - x313 + x355 + x691 =E= 14;

e77..    x20 + x90 - x272 - x286 - x300 - x314 + x356 + x692 =E= -210;

e78..    x21 + x91 - x273 - x287 - x301 - x315 + x357 + x693 =E= 12;

e79..    x22 + x92 - x274 - x288 - x302 - x316 + x358 + x694 =E= 17;

e80..    x23 + x93 - x275 - x289 - x303 - x317 + x359 + x695 =E= 15;

e81..    x24 + x94 - x276 - x290 - x304 - x318 + x360 + x696 =E= 21;

e82..    x25 + x95 - x277 - x291 - x305 - x319 + x361 + x697 =E= 22;

e83..    x26 + x96 - x278 - x292 - x306 - x320 + x362 + x698 =E= 7;

e84..    x27 + x97 - x279 - x293 - x307 - x321 + x363 + x699 =E= 6;

e85..    x28 + x98 - x280 - x294 - x308 - x322 + x364 + x700 =E= 22;

e86..    x71 + x99 + x295 - x323 - x337 - x351 - x365 + x617 =E= 17;

e87..    x72 + x100 + x296 - x324 - x338 - x352 - x366 + x618 =E= 25;

e88..    x73 + x101 + x297 - x325 - x339 - x353 - x367 + x619 =E= 14;

e89..    x74 + x102 + x298 - x326 - x340 - x354 - x368 + x620 =E= 13;

e90..    x75 + x103 + x299 - x327 - x341 - x355 - x369 + x621 =E= 12;

e91..    x76 + x104 + x300 - x328 - x342 - x356 - x370 + x622 =E= 8;

e92..    x77 + x105 + x301 - x329 - x343 - x357 - x371 + x623 =E= -196;

e93..    x78 + x106 + x302 - x330 - x344 - x358 - x372 + x624 =E= 5;

e94..    x79 + x107 + x303 - x331 - x345 - x359 - x373 + x625 =E= 13;

e95..    x80 + x108 + x304 - x332 - x346 - x360 - x374 + x626 =E= 8;

e96..    x81 + x109 + x305 - x333 - x347 - x361 - x375 + x627 =E= 20;

e97..    x82 + x110 + x306 - x334 - x348 - x362 - x376 + x628 =E= 16;

e98..    x83 + x111 + x307 - x335 - x349 - x363 - x377 + x629 =E= 18;

e99..    x84 + x112 + x308 - x336 - x350 - x364 - x378 + x630 =E= 9;

e100..    x29 + x113 - x379 - x393 - x407 - x421 - x435 + x491 + x547 + x701
        =E= 7;

e101..    x30 + x114 - x380 - x394 - x408 - x422 - x436 + x492 + x548 + x702
        =E= 6;

e102..    x31 + x115 - x381 - x395 - x409 - x423 - x437 + x493 + x549 + x703
        =E= 8;

e103..    x32 + x116 - x382 - x396 - x410 - x424 - x438 + x494 + x550 + x704
        =E= 22;

e104..    x33 + x117 - x383 - x397 - x411 - x425 - x439 + x495 + x551 + x705
        =E= 23;

e105..    x34 + x118 - x384 - x398 - x412 - x426 - x440 + x496 + x552 + x706
        =E= 14;

e106..    x35 + x119 - x385 - x399 - x413 - x427 - x441 + x497 + x553 + x707
        =E= 19;

e107..    x36 + x120 - x386 - x400 - x414 - x428 - x442 + x498 + x554 + x708
        =E= -174;

e108..    x37 + x121 - x387 - x401 - x415 - x429 - x443 + x499 + x555 + x709
        =E= 12;

e109..    x38 + x122 - x388 - x402 - x416 - x430 - x444 + x500 + x556 + x710
        =E= 7;

e110..    x39 + x123 - x389 - x403 - x417 - x431 - x445 + x501 + x557 + x711
        =E= 23;

e111..    x40 + x124 - x390 - x404 - x418 - x432 - x446 + x502 + x558 + x712
        =E= 16;

e112..    x41 + x125 - x391 - x405 - x419 - x433 - x447 + x503 + x559 + x713
        =E= 10;

e113..    x42 + x126 - x392 - x406 - x420 - x434 - x448 + x504 + x560 + x714
        =E= 23;

e114..    x155 + x239 - x449 - x463 - x477 + x561 =E= 9;

e115..    x156 + x240 - x450 - x464 - x478 + x562 =E= 14;

e116..    x157 + x241 - x451 - x465 - x479 + x563 =E= 6;

e117..    x158 + x242 - x452 - x466 - x480 + x564 =E= 21;

e118..    x159 + x243 - x453 - x467 - x481 + x565 =E= 14;

e119..    x160 + x244 - x454 - x468 - x482 + x566 =E= 22;

e120..    x161 + x245 - x455 - x469 - x483 + x567 =E= 6;

e121..    x162 + x246 - x456 - x470 - x484 + x568 =E= 17;

e122..    x163 + x247 - x457 - x471 - x485 + x569 =E= -198;

e123..    x164 + x248 - x458 - x472 - x486 + x570 =E= 19;

e124..    x165 + x249 - x459 - x473 - x487 + x571 =E= 15;

e125..    x166 + x250 - x460 - x474 - x488 + x572 =E= 6;

e126..    x167 + x251 - x461 - x475 - x489 + x573 =E= 19;

e127..    x168 + x252 - x462 - x476 - x490 + x574 =E= 15;

e128..    x407 - x491 - x505 + x575 =E= 24;

e129..    x408 - x492 - x506 + x576 =E= 9;

e130..    x409 - x493 - x507 + x577 =E= 13;

e131..    x410 - x494 - x508 + x578 =E= 22;

e132..    x411 - x495 - x509 + x579 =E= 13;

e133..    x412 - x496 - x510 + x580 =E= 20;

e134..    x413 - x497 - x511 + x581 =E= 15;

e135..    x414 - x498 - x512 + x582 =E= 24;

e136..    x415 - x499 - x513 + x583 =E= 22;

e137..    x416 - x500 - x514 + x584 =E= -168;

e138..    x417 - x501 - x515 + x585 =E= 22;

e139..    x418 - x502 - x516 + x586 =E= 16;

e140..    x419 - x503 - x517 + x587 =E= 7;

e141..    x420 - x504 - x518 + x588 =E= 11;

e142..    x127 + x169 + x421 + x477 + x505 - x519 - x533 - x547 - x561 - x575
        - x589 + x715 =E= 23;

e143..    x128 + x170 + x422 + x478 + x506 - x520 - x534 - x548 - x562 - x576
        - x590 + x716 =E= 6;

e144..    x129 + x171 + x423 + x479 + x507 - x521 - x535 - x549 - x563 - x577
        - x591 + x717 =E= 12;

e145..    x130 + x172 + x424 + x480 + x508 - x522 - x536 - x550 - x564 - x578
        - x592 + x718 =E= 11;

e146..    x131 + x173 + x425 + x481 + x509 - x523 - x537 - x551 - x565 - x579
        - x593 + x719 =E= 20;

e147..    x132 + x174 + x426 + x482 + x510 - x524 - x538 - x552 - x566 - x580
        - x594 + x720 =E= 21;

e148..    x133 + x175 + x427 + x483 + x511 - x525 - x539 - x553 - x567 - x581
        - x595 + x721 =E= 20;

e149..    x134 + x176 + x428 + x484 + x512 - x526 - x540 - x554 - x568 - x582
        - x596 + x722 =E= 23;

e150..    x135 + x177 + x429 + x485 + x513 - x527 - x541 - x555 - x569 - x583
        - x597 + x723 =E= 21;

e151..    x136 + x178 + x430 + x486 + x514 - x528 - x542 - x556 - x570 - x584
        - x598 + x724 =E= 6;

e152..    x137 + x179 + x431 + x487 + x515 - x529 - x543 - x557 - x571 - x585
        - x599 + x725 =E= -205;

e153..    x138 + x180 + x432 + x488 + x516 - x530 - x544 - x558 - x572 - x586
        - x600 + x726 =E= 13;

e154..    x139 + x181 + x433 + x489 + x517 - x531 - x545 - x559 - x573 - x587
        - x601 + x727 =E= 14;

e155..    x140 + x182 + x434 + x490 + x518 - x532 - x546 - x560 - x574 - x588
        - x602 + x728 =E= 17;

e156..    x253 + x365 - x603 - x617 - x631 + x729 =E= 14;

e157..    x254 + x366 - x604 - x618 - x632 + x730 =E= 17;

e158..    x255 + x367 - x605 - x619 - x633 + x731 =E= 7;

e159..    x256 + x368 - x606 - x620 - x634 + x732 =E= 15;

e160..    x257 + x369 - x607 - x621 - x635 + x733 =E= 24;

e161..    x258 + x370 - x608 - x622 - x636 + x734 =E= 15;

e162..    x259 + x371 - x609 - x623 - x637 + x735 =E= 10;

e163..    x260 + x372 - x610 - x624 - x638 + x736 =E= 15;

e164..    x261 + x373 - x611 - x625 - x639 + x737 =E= 20;

e165..    x262 + x374 - x612 - x626 - x640 + x738 =E= 11;

e166..    x263 + x375 - x613 - x627 - x641 + x739 =E= 6;

e167..    x264 + x376 - x614 - x628 - x642 + x740 =E= -175;

e168..    x265 + x377 - x615 - x629 - x643 + x741 =E= 6;

e169..    x266 + x378 - x616 - x630 - x644 + x742 =E= 6;

e170..    x183 - x645 - x659 + x743 =E= 13;

e171..    x184 - x646 - x660 + x744 =E= 9;

e172..    x185 - x647 - x661 + x745 =E= 10;

e173..    x186 - x648 - x662 + x746 =E= 15;

e174..    x187 - x649 - x663 + x747 =E= 13;

e175..    x188 - x650 - x664 + x748 =E= 19;

e176..    x189 - x651 - x665 + x749 =E= 10;

e177..    x190 - x652 - x666 + x750 =E= 10;

e178..    x191 - x653 - x667 + x751 =E= 20;

e179..    x192 - x654 - x668 + x752 =E= 15;

e180..    x193 - x655 - x669 + x753 =E= 17;

e181..    x194 - x656 - x670 + x754 =E= 15;

e182..    x195 - x657 - x671 + x755 =E= -182;

e183..    x196 - x658 - x672 + x756 =E= 13;

e184..    x197 + x309 + x435 + x589 + x631 + x659 - x673 - x687 - x701 - x715
        - x729 - x743 =E= 15;

e185..    x198 + x310 + x436 + x590 + x632 + x660 - x674 - x688 - x702 - x716
        - x730 - x744 =E= 9;

e186..    x199 + x311 + x437 + x591 + x633 + x661 - x675 - x689 - x703 - x717
        - x731 - x745 =E= 25;

e187..    x200 + x312 + x438 + x592 + x634 + x662 - x676 - x690 - x704 - x718
        - x732 - x746 =E= 18;

e188..    x201 + x313 + x439 + x593 + x635 + x663 - x677 - x691 - x705 - x719
        - x733 - x747 =E= 22;

e189..    x202 + x314 + x440 + x594 + x636 + x664 - x678 - x692 - x706 - x720
        - x734 - x748 =E= 7;

e190..    x203 + x315 + x441 + x595 + x637 + x665 - x679 - x693 - x707 - x721
        - x735 - x749 =E= 16;

e191..    x204 + x316 + x442 + x596 + x638 + x666 - x680 - x694 - x708 - x722
        - x736 - x750 =E= 5;

e192..    x205 + x317 + x443 + x597 + x639 + x667 - x681 - x695 - x709 - x723
        - x737 - x751 =E= 16;

e193..    x206 + x318 + x444 + x598 + x640 + x668 - x682 - x696 - x710 - x724
        - x738 - x752 =E= 13;

e194..    x207 + x319 + x445 + x599 + x641 + x669 - x683 - x697 - x711 - x725
        - x739 - x753 =E= 13;

e195..    x208 + x320 + x446 + x600 + x642 + x670 - x684 - x698 - x712 - x726
        - x740 - x754 =E= 6;

e196..    x209 + x321 + x447 + x601 + x643 + x671 - x685 - x699 - x713 - x727
        - x741 - x755 =E= 15;

e197..    x210 + x322 + x448 + x602 + x644 + x672 - x686 - x700 - x714 - x728
        - x742 - x756 =E= -190;

e198.. (266 - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 - 
       x13 - x14)*x811 - 266*x1 - 266*x2 - 266*x3 - 266*x4 - 266*x5 - 266*x6 - 
       266*x7 - 266*x8 - 266*x9 - 266*x10 - 266*x11 - 266*x12 - 266*x13 - 266*
       x14 =G= 0;

e199.. (330 - x15 - x16 - x17 - x18 - x19 - x20 - x21 - x22 - x23 - x24 - x25
        - x26 - x27 - x28)*x812 - 330*x15 - 330*x16 - 330*x17 - 330*x18 - 330*
       x19 - 330*x20 - 330*x21 - 330*x22 - 330*x23 - 330*x24 - 330*x25 - 330*
       x26 - 330*x27 - 330*x28 =G= 0;

e200.. (116 - x29 - x30 - x31 - x32 - x33 - x34 - x35 - x36 - x37 - x38 - x39
        - x40 - x41 - x42)*x813 - 116*x29 - 116*x30 - 116*x31 - 116*x32 - 116*
       x33 - 116*x34 - 116*x35 - 116*x36 - 116*x37 - 116*x38 - 116*x39 - 116*
       x40 - 116*x41 - 116*x42 =G= 0;

e201.. (266 - x43 - x44 - x45 - x46 - x47 - x48 - x49 - x50 - x51 - x52 - x53
        - x54 - x55 - x56)*x814 - 266*x43 - 266*x44 - 266*x45 - 266*x46 - 266*
       x47 - 266*x48 - 266*x49 - 266*x50 - 266*x51 - 266*x52 - 266*x53 - 266*
       x54 - 266*x55 - 266*x56 =G= 0;

e202.. (425 - x57 - x58 - x59 - x60 - x61 - x62 - x63 - x64 - x65 - x66 - x67
        - x68 - x69 - x70)*x815 - 425*x57 - 425*x58 - 425*x59 - 425*x60 - 425*
       x61 - 425*x62 - 425*x63 - 425*x64 - 425*x65 - 425*x66 - 425*x67 - 425*
       x68 - 425*x69 - 425*x70 =G= 0;

e203.. (359 - x71 - x72 - x73 - x74 - x75 - x76 - x77 - x78 - x79 - x80 - x81
        - x82 - x83 - x84)*x816 - 359*x71 - 359*x72 - 359*x73 - 359*x74 - 359*
       x75 - 359*x76 - 359*x77 - 359*x78 - 359*x79 - 359*x80 - 359*x81 - 359*
       x82 - 359*x83 - 359*x84 =G= 0;

e204.. (406 - x85 - x86 - x87 - x88 - x89 - x90 - x91 - x92 - x93 - x94 - x95
        - x96 - x97 - x98)*x817 - 406*x85 - 406*x86 - 406*x87 - 406*x88 - 406*
       x89 - 406*x90 - 406*x91 - 406*x92 - 406*x93 - 406*x94 - 406*x95 - 406*
       x96 - 406*x97 - 406*x98 =G= 0;

e205.. (223 - x99 - x100 - x101 - x102 - x103 - x104 - x105 - x106 - x107 - 
       x108 - x109 - x110 - x111 - x112)*x818 - 223*x99 - 223*x100 - 223*x101
        - 223*x102 - 223*x103 - 223*x104 - 223*x105 - 223*x106 - 223*x107 - 223
       *x108 - 223*x109 - 223*x110 - 223*x111 - 223*x112 =G= 0;

e206.. (248 - x113 - x114 - x115 - x116 - x117 - x118 - x119 - x120 - x121 - 
       x122 - x123 - x124 - x125 - x126)*x819 - 248*x113 - 248*x114 - 248*x115
        - 248*x116 - 248*x117 - 248*x118 - 248*x119 - 248*x120 - 248*x121 - 248
       *x122 - 248*x123 - 248*x124 - 248*x125 - 248*x126 =G= 0;

e207.. (363 - x127 - x128 - x129 - x130 - x131 - x132 - x133 - x134 - x135 - 
       x136 - x137 - x138 - x139 - x140)*x820 - 363*x127 - 363*x128 - 363*x129
        - 363*x130 - 363*x131 - 363*x132 - 363*x133 - 363*x134 - 363*x135 - 363
       *x136 - 363*x137 - 363*x138 - 363*x139 - 363*x140 =G= 0;

e208.. (227 - x141 - x142 - x143 - x144 - x145 - x146 - x147 - x148 - x149 - 
       x150 - x151 - x152 - x153 - x154)*x821 - 227*x141 - 227*x142 - 227*x143
        - 227*x144 - 227*x145 - 227*x146 - 227*x147 - 227*x148 - 227*x149 - 227
       *x150 - 227*x151 - 227*x152 - 227*x153 - 227*x154 =G= 0;

e209.. (437 - x155 - x156 - x157 - x158 - x159 - x160 - x161 - x162 - x163 - 
       x164 - x165 - x166 - x167 - x168)*x822 - 437*x155 - 437*x156 - 437*x157
        - 437*x158 - 437*x159 - 437*x160 - 437*x161 - 437*x162 - 437*x163 - 437
       *x164 - 437*x165 - 437*x166 - 437*x167 - 437*x168 =G= 0;

e210.. (283 - x169 - x170 - x171 - x172 - x173 - x174 - x175 - x176 - x177 - 
       x178 - x179 - x180 - x181 - x182)*x823 - 283*x169 - 283*x170 - 283*x171
        - 283*x172 - 283*x173 - 283*x174 - 283*x175 - 283*x176 - 283*x177 - 283
       *x178 - 283*x179 - 283*x180 - 283*x181 - 283*x182 =G= 0;

e211.. (419 - x183 - x184 - x185 - x186 - x187 - x188 - x189 - x190 - x191 - 
       x192 - x193 - x194 - x195 - x196)*x824 - 419*x183 - 419*x184 - 419*x185
        - 419*x186 - 419*x187 - 419*x188 - 419*x189 - 419*x190 - 419*x191 - 419
       *x192 - 419*x193 - 419*x194 - 419*x195 - 419*x196 =G= 0;

e212.. (377 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - x205 - 
       x206 - x207 - x208 - x209 - x210)*x825 - 377*x197 - 377*x198 - 377*x199
        - 377*x200 - 377*x201 - 377*x202 - 377*x203 - 377*x204 - 377*x205 - 377
       *x206 - 377*x207 - 377*x208 - 377*x209 - 377*x210 =G= 0;

e213.. (425 - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218 - x219 - 
       x220 - x221 - x222 - x223 - x224)*x826 - 425*x211 - 425*x212 - 425*x213
        - 425*x214 - 425*x215 - 425*x216 - 425*x217 - 425*x218 - 425*x219 - 425
       *x220 - 425*x221 - 425*x222 - 425*x223 - 425*x224 =G= 0;

e214.. (227 - x225 - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - 
       x234 - x235 - x236 - x237 - x238)*x827 - 227*x225 - 227*x226 - 227*x227
        - 227*x228 - 227*x229 - 227*x230 - 227*x231 - 227*x232 - 227*x233 - 227
       *x234 - 227*x235 - 227*x236 - 227*x237 - 227*x238 =G= 0;

e215.. (428 - x239 - x240 - x241 - x242 - x243 - x244 - x245 - x246 - x247 - 
       x248 - x249 - x250 - x251 - x252)*x828 - 428*x239 - 428*x240 - 428*x241
        - 428*x242 - 428*x243 - 428*x244 - 428*x245 - 428*x246 - 428*x247 - 428
       *x248 - 428*x249 - 428*x250 - 428*x251 - 428*x252 =G= 0;

e216.. (252 - x253 - x254 - x255 - x256 - x257 - x258 - x259 - x260 - x261 - 
       x262 - x263 - x264 - x265 - x266)*x829 - 252*x253 - 252*x254 - 252*x255
        - 252*x256 - 252*x257 - 252*x258 - 252*x259 - 252*x260 - 252*x261 - 252
       *x262 - 252*x263 - 252*x264 - 252*x265 - 252*x266 =G= 0;

e217.. (330 - x267 - x268 - x269 - x270 - x271 - x272 - x273 - x274 - x275 - 
       x276 - x277 - x278 - x279 - x280)*x830 - 330*x267 - 330*x268 - 330*x269
        - 330*x270 - 330*x271 - 330*x272 - 330*x273 - 330*x274 - 330*x275 - 330
       *x276 - 330*x277 - 330*x278 - 330*x279 - 330*x280 =G= 0;

e218.. (406 - x281 - x282 - x283 - x284 - x285 - x286 - x287 - x288 - x289 - 
       x290 - x291 - x292 - x293 - x294)*x831 - 406*x281 - 406*x282 - 406*x283
        - 406*x284 - 406*x285 - 406*x286 - 406*x287 - 406*x288 - 406*x289 - 406
       *x290 - 406*x291 - 406*x292 - 406*x293 - 406*x294 =G= 0;

e219.. (256 - x295 - x296 - x297 - x298 - x299 - x300 - x301 - x302 - x303 - 
       x304 - x305 - x306 - x307 - x308)*x832 - 256*x295 - 256*x296 - 256*x297
        - 256*x298 - 256*x299 - 256*x300 - 256*x301 - 256*x302 - 256*x303 - 256
       *x304 - 256*x305 - 256*x306 - 256*x307 - 256*x308 =G= 0;

e220.. (413 - x309 - x310 - x311 - x312 - x313 - x314 - x315 - x316 - x317 - 
       x318 - x319 - x320 - x321 - x322)*x833 - 413*x309 - 413*x310 - 413*x311
        - 413*x312 - 413*x313 - 413*x314 - 413*x315 - 413*x316 - 413*x317 - 413
       *x318 - 413*x319 - 413*x320 - 413*x321 - 413*x322 =G= 0;

e221.. (359 - x323 - x324 - x325 - x326 - x327 - x328 - x329 - x330 - x331 - 
       x332 - x333 - x334 - x335 - x336)*x834 - 359*x323 - 359*x324 - 359*x325
        - 359*x326 - 359*x327 - 359*x328 - 359*x329 - 359*x330 - 359*x331 - 359
       *x332 - 359*x333 - 359*x334 - 359*x335 - 359*x336 =G= 0;

e222.. (223 - x337 - x338 - x339 - x340 - x341 - x342 - x343 - x344 - x345 - 
       x346 - x347 - x348 - x349 - x350)*x835 - 223*x337 - 223*x338 - 223*x339
        - 223*x340 - 223*x341 - 223*x342 - 223*x343 - 223*x344 - 223*x345 - 223
       *x346 - 223*x347 - 223*x348 - 223*x349 - 223*x350 =G= 0;

e223.. (256 - x351 - x352 - x353 - x354 - x355 - x356 - x357 - x358 - x359 - 
       x360 - x361 - x362 - x363 - x364)*x836 - 256*x351 - 256*x352 - 256*x353
        - 256*x354 - 256*x355 - 256*x356 - 256*x357 - 256*x358 - 256*x359 - 256
       *x360 - 256*x361 - 256*x362 - 256*x363 - 256*x364 =G= 0;

e224.. (391 - x365 - x366 - x367 - x368 - x369 - x370 - x371 - x372 - x373 - 
       x374 - x375 - x376 - x377 - x378)*x837 - 391*x365 - 391*x366 - 391*x367
        - 391*x368 - 391*x369 - 391*x370 - 391*x371 - 391*x372 - 391*x373 - 391
       *x374 - 391*x375 - 391*x376 - 391*x377 - 391*x378 =G= 0;

e225.. (116 - x379 - x380 - x381 - x382 - x383 - x384 - x385 - x386 - x387 - 
       x388 - x389 - x390 - x391 - x392)*x838 - 116*x379 - 116*x380 - 116*x381
        - 116*x382 - 116*x383 - 116*x384 - 116*x385 - 116*x386 - 116*x387 - 116
       *x388 - 116*x389 - 116*x390 - 116*x391 - 116*x392 =G= 0;

e226.. (248 - x393 - x394 - x395 - x396 - x397 - x398 - x399 - x400 - x401 - 
       x402 - x403 - x404 - x405 - x406)*x839 - 248*x393 - 248*x394 - 248*x395
        - 248*x396 - 248*x397 - 248*x398 - 248*x399 - 248*x400 - 248*x401 - 248
       *x402 - 248*x403 - 248*x404 - 248*x405 - 248*x406 =G= 0;

e227.. (260 - x407 - x408 - x409 - x410 - x411 - x412 - x413 - x414 - x415 - 
       x416 - x417 - x418 - x419 - x420)*x840 - 260*x407 - 260*x408 - 260*x409
        - 260*x410 - 260*x411 - 260*x412 - 260*x413 - 260*x414 - 260*x415 - 260
       *x416 - 260*x417 - 260*x418 - 260*x419 - 260*x420 =G= 0;

e228.. (143 - x421 - x422 - x423 - x424 - x425 - x426 - x427 - x428 - x429 - 
       x430 - x431 - x432 - x433 - x434)*x841 - 143*x421 - 143*x422 - 143*x423
        - 143*x424 - 143*x425 - 143*x426 - 143*x427 - 143*x428 - 143*x429 - 143
       *x430 - 143*x431 - 143*x432 - 143*x433 - 143*x434 =G= 0;

e229.. (109 - x435 - x436 - x437 - x438 - x439 - x440 - x441 - x442 - x443 - 
       x444 - x445 - x446 - x447 - x448)*x842 - 109*x435 - 109*x436 - 109*x437
        - 109*x438 - 109*x439 - 109*x440 - 109*x441 - 109*x442 - 109*x443 - 109
       *x444 - 109*x445 - 109*x446 - 109*x447 - 109*x448 =G= 0;

e230.. (437 - x449 - x450 - x451 - x452 - x453 - x454 - x455 - x456 - x457 - 
       x458 - x459 - x460 - x461 - x462)*x843 - 437*x449 - 437*x450 - 437*x451
        - 437*x452 - 437*x453 - 437*x454 - 437*x455 - 437*x456 - 437*x457 - 437
       *x458 - 437*x459 - 437*x460 - 437*x461 - 437*x462 =G= 0;

e231.. (428 - x463 - x464 - x465 - x466 - x467 - x468 - x469 - x470 - x471 - 
       x472 - x473 - x474 - x475 - x476)*x844 - 428*x463 - 428*x464 - 428*x465
        - 428*x466 - 428*x467 - 428*x468 - 428*x469 - 428*x470 - 428*x471 - 428
       *x472 - 428*x473 - 428*x474 - 428*x475 - 428*x476 =G= 0;

e232.. (398 - x477 - x478 - x479 - x480 - x481 - x482 - x483 - x484 - x485 - 
       x486 - x487 - x488 - x489 - x490)*x845 - 398*x477 - 398*x478 - 398*x479
        - 398*x480 - 398*x481 - 398*x482 - 398*x483 - 398*x484 - 398*x485 - 398
       *x486 - 398*x487 - 398*x488 - 398*x489 - 398*x490 =G= 0;

e233.. (260 - x491 - x492 - x493 - x494 - x495 - x496 - x497 - x498 - x499 - 
       x500 - x501 - x502 - x503 - x504)*x846 - 260*x491 - 260*x492 - 260*x493
        - 260*x494 - 260*x495 - 260*x496 - 260*x497 - 260*x498 - 260*x499 - 260
       *x500 - 260*x501 - 260*x502 - 260*x503 - 260*x504 =G= 0;

e234.. (134 - x505 - x506 - x507 - x508 - x509 - x510 - x511 - x512 - x513 - 
       x514 - x515 - x516 - x517 - x518)*x847 - 134*x505 - 134*x506 - 134*x507
        - 134*x508 - 134*x509 - 134*x510 - 134*x511 - 134*x512 - 134*x513 - 134
       *x514 - 134*x515 - 134*x516 - 134*x517 - 134*x518 =G= 0;

e235.. (363 - x519 - x520 - x521 - x522 - x523 - x524 - x525 - x526 - x527 - 
       x528 - x529 - x530 - x531 - x532)*x848 - 363*x519 - 363*x520 - 363*x521
        - 363*x522 - 363*x523 - 363*x524 - 363*x525 - 363*x526 - 363*x527 - 363
       *x528 - 363*x529 - 363*x530 - 363*x531 - 363*x532 =G= 0;

e236.. (283 - x533 - x534 - x535 - x536 - x537 - x538 - x539 - x540 - x541 - 
       x542 - x543 - x544 - x545 - x546)*x849 - 283*x533 - 283*x534 - 283*x535
        - 283*x536 - 283*x537 - 283*x538 - 283*x539 - 283*x540 - 283*x541 - 283
       *x542 - 283*x543 - 283*x544 - 283*x545 - 283*x546 =G= 0;

e237.. (143 - x547 - x548 - x549 - x550 - x551 - x552 - x553 - x554 - x555 - 
       x556 - x557 - x558 - x559 - x560)*x850 - 143*x547 - 143*x548 - 143*x549
        - 143*x550 - 143*x551 - 143*x552 - 143*x553 - 143*x554 - 143*x555 - 143
       *x556 - 143*x557 - 143*x558 - 143*x559 - 143*x560 =G= 0;

e238.. (398 - x561 - x562 - x563 - x564 - x565 - x566 - x567 - x568 - x569 - 
       x570 - x571 - x572 - x573 - x574)*x851 - 398*x561 - 398*x562 - 398*x563
        - 398*x564 - 398*x565 - 398*x566 - 398*x567 - 398*x568 - 398*x569 - 398
       *x570 - 398*x571 - 398*x572 - 398*x573 - 398*x574 =G= 0;

e239.. (134 - x575 - x576 - x577 - x578 - x579 - x580 - x581 - x582 - x583 - 
       x584 - x585 - x586 - x587 - x588)*x852 - 134*x575 - 134*x576 - 134*x577
        - 134*x578 - 134*x579 - 134*x580 - 134*x581 - 134*x582 - 134*x583 - 134
       *x584 - 134*x585 - 134*x586 - 134*x587 - 134*x588 =G= 0;

e240.. (314 - x589 - x590 - x591 - x592 - x593 - x594 - x595 - x596 - x597 - 
       x598 - x599 - x600 - x601 - x602)*x853 - 314*x589 - 314*x590 - 314*x591
        - 314*x592 - 314*x593 - 314*x594 - 314*x595 - 314*x596 - 314*x597 - 314
       *x598 - 314*x599 - 314*x600 - 314*x601 - 314*x602 =G= 0;

e241.. (252 - x603 - x604 - x605 - x606 - x607 - x608 - x609 - x610 - x611 - 
       x612 - x613 - x614 - x615 - x616)*x854 - 252*x603 - 252*x604 - 252*x605
        - 252*x606 - 252*x607 - 252*x608 - 252*x609 - 252*x610 - 252*x611 - 252
       *x612 - 252*x613 - 252*x614 - 252*x615 - 252*x616 =G= 0;

e242.. (391 - x617 - x618 - x619 - x620 - x621 - x622 - x623 - x624 - x625 - 
       x626 - x627 - x628 - x629 - x630)*x855 - 391*x617 - 391*x618 - 391*x619
        - 391*x620 - 391*x621 - 391*x622 - 391*x623 - 391*x624 - 391*x625 - 391
       *x626 - 391*x627 - 391*x628 - 391*x629 - 391*x630 =G= 0;

e243.. (366 - x631 - x632 - x633 - x634 - x635 - x636 - x637 - x638 - x639 - 
       x640 - x641 - x642 - x643 - x644)*x856 - 366*x631 - 366*x632 - 366*x633
        - 366*x634 - 366*x635 - 366*x636 - 366*x637 - 366*x638 - 366*x639 - 366
       *x640 - 366*x641 - 366*x642 - 366*x643 - 366*x644 =G= 0;

e244.. (419 - x645 - x646 - x647 - x648 - x649 - x650 - x651 - x652 - x653 - 
       x654 - x655 - x656 - x657 - x658)*x857 - 419*x645 - 419*x646 - 419*x647
        - 419*x648 - 419*x649 - 419*x650 - 419*x651 - 419*x652 - 419*x653 - 419
       *x654 - 419*x655 - 419*x656 - 419*x657 - 419*x658 =G= 0;

e245.. (179 - x659 - x660 - x661 - x662 - x663 - x664 - x665 - x666 - x667 - 
       x668 - x669 - x670 - x671 - x672)*x858 - 179*x659 - 179*x660 - 179*x661
        - 179*x662 - 179*x663 - 179*x664 - 179*x665 - 179*x666 - 179*x667 - 179
       *x668 - 179*x669 - 179*x670 - 179*x671 - 179*x672 =G= 0;

e246.. (377 - x673 - x674 - x675 - x676 - x677 - x678 - x679 - x680 - x681 - 
       x682 - x683 - x684 - x685 - x686)*x859 - 377*x673 - 377*x674 - 377*x675
        - 377*x676 - 377*x677 - 377*x678 - 377*x679 - 377*x680 - 377*x681 - 377
       *x682 - 377*x683 - 377*x684 - 377*x685 - 377*x686 =G= 0;

e247.. (413 - x687 - x688 - x689 - x690 - x691 - x692 - x693 - x694 - x695 - 
       x696 - x697 - x698 - x699 - x700)*x860 - 413*x687 - 413*x688 - 413*x689
        - 413*x690 - 413*x691 - 413*x692 - 413*x693 - 413*x694 - 413*x695 - 413
       *x696 - 413*x697 - 413*x698 - 413*x699 - 413*x700 =G= 0;

e248.. (109 - x701 - x702 - x703 - x704 - x705 - x706 - x707 - x708 - x709 - 
       x710 - x711 - x712 - x713 - x714)*x861 - 109*x701 - 109*x702 - 109*x703
        - 109*x704 - 109*x705 - 109*x706 - 109*x707 - 109*x708 - 109*x709 - 109
       *x710 - 109*x711 - 109*x712 - 109*x713 - 109*x714 =G= 0;

e249.. (314 - x715 - x716 - x717 - x718 - x719 - x720 - x721 - x722 - x723 - 
       x724 - x725 - x726 - x727 - x728)*x862 - 314*x715 - 314*x716 - 314*x717
        - 314*x718 - 314*x719 - 314*x720 - 314*x721 - 314*x722 - 314*x723 - 314
       *x724 - 314*x725 - 314*x726 - 314*x727 - 314*x728 =G= 0;

e250.. (366 - x729 - x730 - x731 - x732 - x733 - x734 - x735 - x736 - x737 - 
       x738 - x739 - x740 - x741 - x742)*x863 - 366*x729 - 366*x730 - 366*x731
        - 366*x732 - 366*x733 - 366*x734 - 366*x735 - 366*x736 - 366*x737 - 366
       *x738 - 366*x739 - 366*x740 - 366*x741 - 366*x742 =G= 0;

e251.. (179 - x743 - x744 - x745 - x746 - x747 - x748 - x749 - x750 - x751 - 
       x752 - x753 - x754 - x755 - x756)*x864 - 179*x743 - 179*x744 - 179*x745
        - 179*x746 - 179*x747 - 179*x748 - 179*x749 - 179*x750 - 179*x751 - 179
       *x752 - 179*x753 - 179*x754 - 179*x755 - 179*x756 =G= 0;

e252..    x811 + x812 + x813 + x814 + x815 + x816 + x817 + x818 + x819 + x820
        + x821 + x822 + x823 + x824 + x825 + x826 + x827 + x828 + x829 + x830
        + x831 + x832 + x833 + x834 + x835 + x836 + x837 + x838 + x839 + x840
        + x841 + x842 + x843 + x844 + x845 + x846 + x847 + x848 + x849 + x850
        + x851 + x852 + x853 + x854 + x855 + x856 + x857 + x858 + x859 + x860
        + x861 + x862 + x863 + x864 =L= 10632;

e253..    x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
        + x14 - 266*b757 =L= 0;

e254..    x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26
        + x27 + x28 - 330*b758 =L= 0;

e255..    x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38 + x39 + x40
        + x41 + x42 - 116*b759 =L= 0;

e256..    x43 + x44 + x45 + x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54
        + x55 + x56 - 266*b760 =L= 0;

e257..    x57 + x58 + x59 + x60 + x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68
        + x69 + x70 - 425*b761 =L= 0;

e258..    x71 + x72 + x73 + x74 + x75 + x76 + x77 + x78 + x79 + x80 + x81 + x82
        + x83 + x84 - 359*b762 =L= 0;

e259..    x85 + x86 + x87 + x88 + x89 + x90 + x91 + x92 + x93 + x94 + x95 + x96
        + x97 + x98 - 406*b763 =L= 0;

e260..    x99 + x100 + x101 + x102 + x103 + x104 + x105 + x106 + x107 + x108
        + x109 + x110 + x111 + x112 - 223*b764 =L= 0;

e261..    x113 + x114 + x115 + x116 + x117 + x118 + x119 + x120 + x121 + x122
        + x123 + x124 + x125 + x126 - 248*b765 =L= 0;

e262..    x127 + x128 + x129 + x130 + x131 + x132 + x133 + x134 + x135 + x136
        + x137 + x138 + x139 + x140 - 363*b766 =L= 0;

e263..    x141 + x142 + x143 + x144 + x145 + x146 + x147 + x148 + x149 + x150
        + x151 + x152 + x153 + x154 - 227*b767 =L= 0;

e264..    x155 + x156 + x157 + x158 + x159 + x160 + x161 + x162 + x163 + x164
        + x165 + x166 + x167 + x168 - 437*b768 =L= 0;

e265..    x169 + x170 + x171 + x172 + x173 + x174 + x175 + x176 + x177 + x178
        + x179 + x180 + x181 + x182 - 283*b769 =L= 0;

e266..    x183 + x184 + x185 + x186 + x187 + x188 + x189 + x190 + x191 + x192
        + x193 + x194 + x195 + x196 - 419*b770 =L= 0;

e267..    x197 + x198 + x199 + x200 + x201 + x202 + x203 + x204 + x205 + x206
        + x207 + x208 + x209 + x210 - 377*b771 =L= 0;

e268..    x211 + x212 + x213 + x214 + x215 + x216 + x217 + x218 + x219 + x220
        + x221 + x222 + x223 + x224 - 425*b772 =L= 0;

e269..    x225 + x226 + x227 + x228 + x229 + x230 + x231 + x232 + x233 + x234
        + x235 + x236 + x237 + x238 - 227*b773 =L= 0;

e270..    x239 + x240 + x241 + x242 + x243 + x244 + x245 + x246 + x247 + x248
        + x249 + x250 + x251 + x252 - 428*b774 =L= 0;

e271..    x253 + x254 + x255 + x256 + x257 + x258 + x259 + x260 + x261 + x262
        + x263 + x264 + x265 + x266 - 252*b775 =L= 0;

e272..    x267 + x268 + x269 + x270 + x271 + x272 + x273 + x274 + x275 + x276
        + x277 + x278 + x279 + x280 - 330*b776 =L= 0;

e273..    x281 + x282 + x283 + x284 + x285 + x286 + x287 + x288 + x289 + x290
        + x291 + x292 + x293 + x294 - 406*b777 =L= 0;

e274..    x295 + x296 + x297 + x298 + x299 + x300 + x301 + x302 + x303 + x304
        + x305 + x306 + x307 + x308 - 256*b778 =L= 0;

e275..    x309 + x310 + x311 + x312 + x313 + x314 + x315 + x316 + x317 + x318
        + x319 + x320 + x321 + x322 - 413*b779 =L= 0;

e276..    x323 + x324 + x325 + x326 + x327 + x328 + x329 + x330 + x331 + x332
        + x333 + x334 + x335 + x336 - 359*b780 =L= 0;

e277..    x337 + x338 + x339 + x340 + x341 + x342 + x343 + x344 + x345 + x346
        + x347 + x348 + x349 + x350 - 223*b781 =L= 0;

e278..    x351 + x352 + x353 + x354 + x355 + x356 + x357 + x358 + x359 + x360
        + x361 + x362 + x363 + x364 - 256*b782 =L= 0;

e279..    x365 + x366 + x367 + x368 + x369 + x370 + x371 + x372 + x373 + x374
        + x375 + x376 + x377 + x378 - 391*b783 =L= 0;

e280..    x379 + x380 + x381 + x382 + x383 + x384 + x385 + x386 + x387 + x388
        + x389 + x390 + x391 + x392 - 116*b784 =L= 0;

e281..    x393 + x394 + x395 + x396 + x397 + x398 + x399 + x400 + x401 + x402
        + x403 + x404 + x405 + x406 - 248*b785 =L= 0;

e282..    x407 + x408 + x409 + x410 + x411 + x412 + x413 + x414 + x415 + x416
        + x417 + x418 + x419 + x420 - 260*b786 =L= 0;

e283..    x421 + x422 + x423 + x424 + x425 + x426 + x427 + x428 + x429 + x430
        + x431 + x432 + x433 + x434 - 143*b787 =L= 0;

e284..    x435 + x436 + x437 + x438 + x439 + x440 + x441 + x442 + x443 + x444
        + x445 + x446 + x447 + x448 - 109*b788 =L= 0;

e285..    x449 + x450 + x451 + x452 + x453 + x454 + x455 + x456 + x457 + x458
        + x459 + x460 + x461 + x462 - 437*b789 =L= 0;

e286..    x463 + x464 + x465 + x466 + x467 + x468 + x469 + x470 + x471 + x472
        + x473 + x474 + x475 + x476 - 428*b790 =L= 0;

e287..    x477 + x478 + x479 + x480 + x481 + x482 + x483 + x484 + x485 + x486
        + x487 + x488 + x489 + x490 - 398*b791 =L= 0;

e288..    x491 + x492 + x493 + x494 + x495 + x496 + x497 + x498 + x499 + x500
        + x501 + x502 + x503 + x504 - 260*b792 =L= 0;

e289..    x505 + x506 + x507 + x508 + x509 + x510 + x511 + x512 + x513 + x514
        + x515 + x516 + x517 + x518 - 134*b793 =L= 0;

e290..    x519 + x520 + x521 + x522 + x523 + x524 + x525 + x526 + x527 + x528
        + x529 + x530 + x531 + x532 - 363*b794 =L= 0;

e291..    x533 + x534 + x535 + x536 + x537 + x538 + x539 + x540 + x541 + x542
        + x543 + x544 + x545 + x546 - 283*b795 =L= 0;

e292..    x547 + x548 + x549 + x550 + x551 + x552 + x553 + x554 + x555 + x556
        + x557 + x558 + x559 + x560 - 143*b796 =L= 0;

e293..    x561 + x562 + x563 + x564 + x565 + x566 + x567 + x568 + x569 + x570
        + x571 + x572 + x573 + x574 - 398*b797 =L= 0;

e294..    x575 + x576 + x577 + x578 + x579 + x580 + x581 + x582 + x583 + x584
        + x585 + x586 + x587 + x588 - 134*b798 =L= 0;

e295..    x589 + x590 + x591 + x592 + x593 + x594 + x595 + x596 + x597 + x598
        + x599 + x600 + x601 + x602 - 314*b799 =L= 0;

e296..    x603 + x604 + x605 + x606 + x607 + x608 + x609 + x610 + x611 + x612
        + x613 + x614 + x615 + x616 - 252*b800 =L= 0;

e297..    x617 + x618 + x619 + x620 + x621 + x622 + x623 + x624 + x625 + x626
        + x627 + x628 + x629 + x630 - 391*b801 =L= 0;

e298..    x631 + x632 + x633 + x634 + x635 + x636 + x637 + x638 + x639 + x640
        + x641 + x642 + x643 + x644 - 366*b802 =L= 0;

e299..    x645 + x646 + x647 + x648 + x649 + x650 + x651 + x652 + x653 + x654
        + x655 + x656 + x657 + x658 - 419*b803 =L= 0;

e300..    x659 + x660 + x661 + x662 + x663 + x664 + x665 + x666 + x667 + x668
        + x669 + x670 + x671 + x672 - 179*b804 =L= 0;

e301..    x673 + x674 + x675 + x676 + x677 + x678 + x679 + x680 + x681 + x682
        + x683 + x684 + x685 + x686 - 377*b805 =L= 0;

e302..    x687 + x688 + x689 + x690 + x691 + x692 + x693 + x694 + x695 + x696
        + x697 + x698 + x699 + x700 - 413*b806 =L= 0;

e303..    x701 + x702 + x703 + x704 + x705 + x706 + x707 + x708 + x709 + x710
        + x711 + x712 + x713 + x714 - 109*b807 =L= 0;

e304..    x715 + x716 + x717 + x718 + x719 + x720 + x721 + x722 + x723 + x724
        + x725 + x726 + x727 + x728 - 314*b808 =L= 0;

e305..    x729 + x730 + x731 + x732 + x733 + x734 + x735 + x736 + x737 + x738
        + x739 + x740 + x741 + x742 - 366*b809 =L= 0;

e306..    x743 + x744 + x745 + x746 + x747 + x748 + x749 + x750 + x751 + x752
        + x753 + x754 + x755 + x756 - 179*b810 =L= 0;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-04-26 Git hash: de668763
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