MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance squfl020-050
Separable quadratic uncapacitated facility location problem. A set of customers, each having unit demand, has to be satisfied by open facilities. The objective is to minimize the sum of the fixed cost for operating facilities and the shipping cost which is proportional to the square of the quantity delivered to each customer.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -350.62518820 (ALPHAECP) 230.14537110 (ANTIGONE) 230.20214930 (BARON) 230.20214920 (BONMIN) 230.20185250 (COUENNE) 230.20214950 (CPLEX) 230.20214950 (GUROBI) 230.20214950 (LINDO) 230.20214630 (SCIP) 230.20214950 (SHOT) |
| Referencesⓘ | Günlük, Oktay, Lee, Jon, and Weismantel, Robert, MINLP Strengthening for Separable Convex Quadratic Transportation-Cost UFL, Tech. Rep. RC24213, IBM Research, 2007. 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. |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 24 Feb 2014 |
| Problem typeⓘ | MBQP |
| #Variablesⓘ | 1020 |
| #Binary Variablesⓘ | 20 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 1000 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 1020 |
| #Nonlinear Nonzeros in Objectiveⓘ | 1000 |
| #Constraintsⓘ | 1050 |
| #Linear Constraintsⓘ | 1050 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 3000 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1000 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 1000 |
| #Blocks in Hessian of Lagrangianⓘ | 1000 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 8.1528e-01 |
| Maximal coefficientⓘ | 9.9000e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 1051 51 0 1000 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 1021 1001 20 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 4021 3021 1000 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,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
,x832,x833,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,x865,x866,x867,x868,x869,x870
,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010,b1011
,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,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,x757,x758,x759,x760,x761,x762,x763,x764
,x765,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777
,x778,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790
,x791,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803
,x804,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816
,x817,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829
,x830,x831,x832,x833,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,x865,x866,x867,x868
,x869,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881
,x882,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894
,x895,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907
,x908,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920
,x921,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933
,x934,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946
,x947,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959
,x960,x961,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972
,x973,x974,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985
,x986,x987,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998
,x999,x1000;
Binary Variables b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010
,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020;
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
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e1.. -(48.8554584915799*x1*x1 + 53.9866118946038*x2*x2 + 32.2474858966649*x3*x3
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28.5595633173073*x842*x842 + 31.3095130555807*x843*x843 + 3.63665989594589
*x844*x844 + 26.1906644022055*x845*x845 + 24.5847597546179*x846*x846 +
40.8127163754693*x847*x847 + 25.4497196580744*x848*x848 + 11.5553813948704
*x849*x849 + 25.6909591838458*x850*x850 + 43.7732112963094*x851*x851 +
45.5060943182076*x852*x852 + 21.1057825637155*x853*x853 + 12.2817237122147
*x854*x854 + 34.6849055776013*x855*x855 + 33.2408314669004*x856*x856 +
40.7122869321407*x857*x857 + 28.3406497818843*x858*x858 + 39.2077582180699
*x859*x859 + 12.7028723074635*x860*x860 + 29.7096635063676*x861*x861 +
32.6798501823424*x862*x862 + 12.8453367437722*x863*x863 + 16.7634446330294
*x864*x864 + 49.897207709516*x865*x865 + 24.421674321821*x866*x866 +
43.4728919126422*x867*x867 + 45.1967485003062*x868*x868 + 42.5309503303497
*x869*x869 + 38.7633660279925*x870*x870 + 28.9931290783568*x871*x871 +
43.8186470318301*x872*x872 + 18.0992149993259*x873*x873 + 37.034373419871*
x874*x874 + 34.5309473325561*x875*x875 + 17.0753066936183*x876*x876 +
33.7829500203012*x877*x877 + 22.7535233715636*x878*x878 + 42.3758771707563
*x879*x879 + 42.6908676252293*x880*x880 + 0.815277791546405*x881*x881 +
23.7718733307953*x882*x882 + 41.2673537079603*x883*x883 + 32.3465357665138
*x884*x884 + 45.2535811599126*x885*x885 + 44.1270126518929*x886*x886 +
48.3253130696678*x887*x887 + 12.5724873446951*x888*x888 + 16.521721848621*
x889*x889 + 35.9623489268462*x890*x890 + 35.9192232067945*x891*x891 +
19.5418265742162*x892*x892 + 43.739292571606*x893*x893 + 13.9499664012751*
x894*x894 + 11.4640366390161*x895*x895 + 26.0151217083164*x896*x896 +
41.7523609542493*x897*x897 + 15.8121049841945*x898*x898 + 22.3909533769837
*x899*x899 + 24.9803830682488*x900*x900 + 39.8830549541649*x901*x901 +
49.6285080321261*x902*x902 + 36.0885385219607*x903*x903 + 38.0056636750355
*x904*x904 + 44.4677370135338*x905*x905 + 33.2752578240115*x906*x906 +
38.9333182028202*x907*x907 + 49.8091695690075*x908*x908 + 36.9751801361933
*x909*x909 + 16.2956688610029*x910*x910 + 17.8428105106613*x911*x911 +
30.7471289346873*x912*x912 + 17.6740217362553*x913*x913 + 32.7673414482026
*x914*x914 + 29.1065411303509*x915*x915 + 23.4451639985157*x916*x916 +
32.7436778266174*x917*x917 + 22.6899763445966*x918*x918 + 20.5545156439868
*x919*x919 + 21.9161570473104*x920*x920 + 45.6906241244913*x921*x921 +
20.9006853923581*x922*x922 + 13.4285763818676*x923*x923 + 37.9902400658773
*x924*x924 + 32.1369466993582*x925*x925 + 15.0830937099251*x926*x926 +
17.2499901955725*x927*x927 + 4.53035087102095*x928*x928 + 40.1332880060973
*x929*x929 + 31.230472568461*x930*x930 + 27.1889443168826*x931*x931 +
26.069253342834*x932*x932 + 24.7044738927298*x933*x933 + 9.8926808620226*
x934*x934 + 34.726970856993*x935*x935 + 36.3310276611028*x936*x936 +
52.1362866974543*x937*x937 + 24.9504014616165*x938*x938 + 12.1753562665862
*x939*x939 + 38.2590785866237*x940*x940 + 45.5065745122664*x941*x941 +
7.83001584770162*x942*x942 + 46.3435616147646*x943*x943 + 32.3514735973842
*x944*x944 + 18.9219262466711*x945*x945 + 19.529796800444*x946*x946 +
24.5452371638425*x947*x947 + 11.5192271123195*x948*x948 + 32.1827549523393
*x949*x949 + 16.155956312074*x950*x950 + 30.2623083912811*x951*x951 +
39.3873030000969*x952*x952 + 27.1863680710365*x953*x953 + 32.465688296025*
x954*x954 + 34.3935346953517*x955*x955 + 23.0494231798841*x956*x956 +
28.9826741573255*x957*x957 + 41.7174317325007*x958*x958 + 27.0277367949185
*x959*x959 + 11.3497810804354*x960*x960 + 8.70275423206846*x961*x961 +
20.5922870672014*x962*x962 + 19.4336104304554*x963*x963 + 24.4709755982041
*x964*x964 + 26.166231849376*x965*x965 + 13.220378287191*x966*x966 +
24.5446362702273*x967*x967 + 21.1520674166949*x968*x968 + 18.4955192175892
*x969*x969 + 15.9086099162226*x970*x970 + 36.5630667934048*x971*x971 +
19.7723793298677*x972*x972 + 17.8342380535067*x973*x973 + 27.7858688049462
*x974*x974 + 22.0649259268969*x975*x975 + 7.51515627157391*x976*x976 +
10.6167963164672*x977*x977 + 8.566263873046*x978*x978 + 30.2709114191456*
x979*x979 + 23.2110736414522*x980*x980 + 24.2916671650994*x981*x981 +
15.9717233656163*x982*x982 + 18.7085133431166*x983*x983 + 8.72446635948952
*x984*x984 + 26.5572610468946*x985*x985 + 27.4160635831488*x986*x986 +
41.9219545177799*x987*x987 + 17.3731612820012*x988*x988 + 7.85286409933798
*x989*x989 + 28.003407160422*x990*x990 + 35.3984796911413*x991*x991 +
8.35285422210212*x992*x992 + 36.1443148610526*x993*x993 + 24.7739997632166
*x994*x994 + 20.089282569193*x995*x995 + 9.30857722405055*x996*x996 +
18.9341049117835*x997*x997 + 10.3287840187535*x998*x998 + 22.6275005311133
*x999*x999 + 5.92871935675685*x1000*x1000) - 87*b1001 - 17*b1002 - 8*b1003
- 50*b1004 - 18*b1005 - 20*b1006 - 23*b1007 - 94*b1008 - 78*b1009
- 55*b1010 - 99*b1011 - 10*b1012 - 52*b1013 - 84*b1014 - 40*b1015
- 71*b1016 - 6*b1017 - 13*b1018 - 18*b1019 - 31*b1020 + objvar =E= 0;
e2.. x1 - b1001 =L= 0;
e3.. x2 - b1001 =L= 0;
e4.. x3 - b1001 =L= 0;
e5.. x4 - b1001 =L= 0;
e6.. x5 - b1001 =L= 0;
e7.. x6 - b1001 =L= 0;
e8.. x7 - b1001 =L= 0;
e9.. x8 - b1001 =L= 0;
e10.. x9 - b1001 =L= 0;
e11.. x10 - b1001 =L= 0;
e12.. x11 - b1001 =L= 0;
e13.. x12 - b1001 =L= 0;
e14.. x13 - b1001 =L= 0;
e15.. x14 - b1001 =L= 0;
e16.. x15 - b1001 =L= 0;
e17.. x16 - b1001 =L= 0;
e18.. x17 - b1001 =L= 0;
e19.. x18 - b1001 =L= 0;
e20.. x19 - b1001 =L= 0;
e21.. x20 - b1001 =L= 0;
e22.. x21 - b1001 =L= 0;
e23.. x22 - b1001 =L= 0;
e24.. x23 - b1001 =L= 0;
e25.. x24 - b1001 =L= 0;
e26.. x25 - b1001 =L= 0;
e27.. x26 - b1001 =L= 0;
e28.. x27 - b1001 =L= 0;
e29.. x28 - b1001 =L= 0;
e30.. x29 - b1001 =L= 0;
e31.. x30 - b1001 =L= 0;
e32.. x31 - b1001 =L= 0;
e33.. x32 - b1001 =L= 0;
e34.. x33 - b1001 =L= 0;
e35.. x34 - b1001 =L= 0;
e36.. x35 - b1001 =L= 0;
e37.. x36 - b1001 =L= 0;
e38.. x37 - b1001 =L= 0;
e39.. x38 - b1001 =L= 0;
e40.. x39 - b1001 =L= 0;
e41.. x40 - b1001 =L= 0;
e42.. x41 - b1001 =L= 0;
e43.. x42 - b1001 =L= 0;
e44.. x43 - b1001 =L= 0;
e45.. x44 - b1001 =L= 0;
e46.. x45 - b1001 =L= 0;
e47.. x46 - b1001 =L= 0;
e48.. x47 - b1001 =L= 0;
e49.. x48 - b1001 =L= 0;
e50.. x49 - b1001 =L= 0;
e51.. x50 - b1001 =L= 0;
e52.. x51 - b1002 =L= 0;
e53.. x52 - b1002 =L= 0;
e54.. x53 - b1002 =L= 0;
e55.. x54 - b1002 =L= 0;
e56.. x55 - b1002 =L= 0;
e57.. x56 - b1002 =L= 0;
e58.. x57 - b1002 =L= 0;
e59.. x58 - b1002 =L= 0;
e60.. x59 - b1002 =L= 0;
e61.. x60 - b1002 =L= 0;
e62.. x61 - b1002 =L= 0;
e63.. x62 - b1002 =L= 0;
e64.. x63 - b1002 =L= 0;
e65.. x64 - b1002 =L= 0;
e66.. x65 - b1002 =L= 0;
e67.. x66 - b1002 =L= 0;
e68.. x67 - b1002 =L= 0;
e69.. x68 - b1002 =L= 0;
e70.. x69 - b1002 =L= 0;
e71.. x70 - b1002 =L= 0;
e72.. x71 - b1002 =L= 0;
e73.. x72 - b1002 =L= 0;
e74.. x73 - b1002 =L= 0;
e75.. x74 - b1002 =L= 0;
e76.. x75 - b1002 =L= 0;
e77.. x76 - b1002 =L= 0;
e78.. x77 - b1002 =L= 0;
e79.. x78 - b1002 =L= 0;
e80.. x79 - b1002 =L= 0;
e81.. x80 - b1002 =L= 0;
e82.. x81 - b1002 =L= 0;
e83.. x82 - b1002 =L= 0;
e84.. x83 - b1002 =L= 0;
e85.. x84 - b1002 =L= 0;
e86.. x85 - b1002 =L= 0;
e87.. x86 - b1002 =L= 0;
e88.. x87 - b1002 =L= 0;
e89.. x88 - b1002 =L= 0;
e90.. x89 - b1002 =L= 0;
e91.. x90 - b1002 =L= 0;
e92.. x91 - b1002 =L= 0;
e93.. x92 - b1002 =L= 0;
e94.. x93 - b1002 =L= 0;
e95.. x94 - b1002 =L= 0;
e96.. x95 - b1002 =L= 0;
e97.. x96 - b1002 =L= 0;
e98.. x97 - b1002 =L= 0;
e99.. x98 - b1002 =L= 0;
e100.. x99 - b1002 =L= 0;
e101.. x100 - b1002 =L= 0;
e102.. x101 - b1003 =L= 0;
e103.. x102 - b1003 =L= 0;
e104.. x103 - b1003 =L= 0;
e105.. x104 - b1003 =L= 0;
e106.. x105 - b1003 =L= 0;
e107.. x106 - b1003 =L= 0;
e108.. x107 - b1003 =L= 0;
e109.. x108 - b1003 =L= 0;
e110.. x109 - b1003 =L= 0;
e111.. x110 - b1003 =L= 0;
e112.. x111 - b1003 =L= 0;
e113.. x112 - b1003 =L= 0;
e114.. x113 - b1003 =L= 0;
e115.. x114 - b1003 =L= 0;
e116.. x115 - b1003 =L= 0;
e117.. x116 - b1003 =L= 0;
e118.. x117 - b1003 =L= 0;
e119.. x118 - b1003 =L= 0;
e120.. x119 - b1003 =L= 0;
e121.. x120 - b1003 =L= 0;
e122.. x121 - b1003 =L= 0;
e123.. x122 - b1003 =L= 0;
e124.. x123 - b1003 =L= 0;
e125.. x124 - b1003 =L= 0;
e126.. x125 - b1003 =L= 0;
e127.. x126 - b1003 =L= 0;
e128.. x127 - b1003 =L= 0;
e129.. x128 - b1003 =L= 0;
e130.. x129 - b1003 =L= 0;
e131.. x130 - b1003 =L= 0;
e132.. x131 - b1003 =L= 0;
e133.. x132 - b1003 =L= 0;
e134.. x133 - b1003 =L= 0;
e135.. x134 - b1003 =L= 0;
e136.. x135 - b1003 =L= 0;
e137.. x136 - b1003 =L= 0;
e138.. x137 - b1003 =L= 0;
e139.. x138 - b1003 =L= 0;
e140.. x139 - b1003 =L= 0;
e141.. x140 - b1003 =L= 0;
e142.. x141 - b1003 =L= 0;
e143.. x142 - b1003 =L= 0;
e144.. x143 - b1003 =L= 0;
e145.. x144 - b1003 =L= 0;
e146.. x145 - b1003 =L= 0;
e147.. x146 - b1003 =L= 0;
e148.. x147 - b1003 =L= 0;
e149.. x148 - b1003 =L= 0;
e150.. x149 - b1003 =L= 0;
e151.. x150 - b1003 =L= 0;
e152.. x151 - b1004 =L= 0;
e153.. x152 - b1004 =L= 0;
e154.. x153 - b1004 =L= 0;
e155.. x154 - b1004 =L= 0;
e156.. x155 - b1004 =L= 0;
e157.. x156 - b1004 =L= 0;
e158.. x157 - b1004 =L= 0;
e159.. x158 - b1004 =L= 0;
e160.. x159 - b1004 =L= 0;
e161.. x160 - b1004 =L= 0;
e162.. x161 - b1004 =L= 0;
e163.. x162 - b1004 =L= 0;
e164.. x163 - b1004 =L= 0;
e165.. x164 - b1004 =L= 0;
e166.. x165 - b1004 =L= 0;
e167.. x166 - b1004 =L= 0;
e168.. x167 - b1004 =L= 0;
e169.. x168 - b1004 =L= 0;
e170.. x169 - b1004 =L= 0;
e171.. x170 - b1004 =L= 0;
e172.. x171 - b1004 =L= 0;
e173.. x172 - b1004 =L= 0;
e174.. x173 - b1004 =L= 0;
e175.. x174 - b1004 =L= 0;
e176.. x175 - b1004 =L= 0;
e177.. x176 - b1004 =L= 0;
e178.. x177 - b1004 =L= 0;
e179.. x178 - b1004 =L= 0;
e180.. x179 - b1004 =L= 0;
e181.. x180 - b1004 =L= 0;
e182.. x181 - b1004 =L= 0;
e183.. x182 - b1004 =L= 0;
e184.. x183 - b1004 =L= 0;
e185.. x184 - b1004 =L= 0;
e186.. x185 - b1004 =L= 0;
e187.. x186 - b1004 =L= 0;
e188.. x187 - b1004 =L= 0;
e189.. x188 - b1004 =L= 0;
e190.. x189 - b1004 =L= 0;
e191.. x190 - b1004 =L= 0;
e192.. x191 - b1004 =L= 0;
e193.. x192 - b1004 =L= 0;
e194.. x193 - b1004 =L= 0;
e195.. x194 - b1004 =L= 0;
e196.. x195 - b1004 =L= 0;
e197.. x196 - b1004 =L= 0;
e198.. x197 - b1004 =L= 0;
e199.. x198 - b1004 =L= 0;
e200.. x199 - b1004 =L= 0;
e201.. x200 - b1004 =L= 0;
e202.. x201 - b1005 =L= 0;
e203.. x202 - b1005 =L= 0;
e204.. x203 - b1005 =L= 0;
e205.. x204 - b1005 =L= 0;
e206.. x205 - b1005 =L= 0;
e207.. x206 - b1005 =L= 0;
e208.. x207 - b1005 =L= 0;
e209.. x208 - b1005 =L= 0;
e210.. x209 - b1005 =L= 0;
e211.. x210 - b1005 =L= 0;
e212.. x211 - b1005 =L= 0;
e213.. x212 - b1005 =L= 0;
e214.. x213 - b1005 =L= 0;
e215.. x214 - b1005 =L= 0;
e216.. x215 - b1005 =L= 0;
e217.. x216 - b1005 =L= 0;
e218.. x217 - b1005 =L= 0;
e219.. x218 - b1005 =L= 0;
e220.. x219 - b1005 =L= 0;
e221.. x220 - b1005 =L= 0;
e222.. x221 - b1005 =L= 0;
e223.. x222 - b1005 =L= 0;
e224.. x223 - b1005 =L= 0;
e225.. x224 - b1005 =L= 0;
e226.. x225 - b1005 =L= 0;
e227.. x226 - b1005 =L= 0;
e228.. x227 - b1005 =L= 0;
e229.. x228 - b1005 =L= 0;
e230.. x229 - b1005 =L= 0;
e231.. x230 - b1005 =L= 0;
e232.. x231 - b1005 =L= 0;
e233.. x232 - b1005 =L= 0;
e234.. x233 - b1005 =L= 0;
e235.. x234 - b1005 =L= 0;
e236.. x235 - b1005 =L= 0;
e237.. x236 - b1005 =L= 0;
e238.. x237 - b1005 =L= 0;
e239.. x238 - b1005 =L= 0;
e240.. x239 - b1005 =L= 0;
e241.. x240 - b1005 =L= 0;
e242.. x241 - b1005 =L= 0;
e243.. x242 - b1005 =L= 0;
e244.. x243 - b1005 =L= 0;
e245.. x244 - b1005 =L= 0;
e246.. x245 - b1005 =L= 0;
e247.. x246 - b1005 =L= 0;
e248.. x247 - b1005 =L= 0;
e249.. x248 - b1005 =L= 0;
e250.. x249 - b1005 =L= 0;
e251.. x250 - b1005 =L= 0;
e252.. x251 - b1006 =L= 0;
e253.. x252 - b1006 =L= 0;
e254.. x253 - b1006 =L= 0;
e255.. x254 - b1006 =L= 0;
e256.. x255 - b1006 =L= 0;
e257.. x256 - b1006 =L= 0;
e258.. x257 - b1006 =L= 0;
e259.. x258 - b1006 =L= 0;
e260.. x259 - b1006 =L= 0;
e261.. x260 - b1006 =L= 0;
e262.. x261 - b1006 =L= 0;
e263.. x262 - b1006 =L= 0;
e264.. x263 - b1006 =L= 0;
e265.. x264 - b1006 =L= 0;
e266.. x265 - b1006 =L= 0;
e267.. x266 - b1006 =L= 0;
e268.. x267 - b1006 =L= 0;
e269.. x268 - b1006 =L= 0;
e270.. x269 - b1006 =L= 0;
e271.. x270 - b1006 =L= 0;
e272.. x271 - b1006 =L= 0;
e273.. x272 - b1006 =L= 0;
e274.. x273 - b1006 =L= 0;
e275.. x274 - b1006 =L= 0;
e276.. x275 - b1006 =L= 0;
e277.. x276 - b1006 =L= 0;
e278.. x277 - b1006 =L= 0;
e279.. x278 - b1006 =L= 0;
e280.. x279 - b1006 =L= 0;
e281.. x280 - b1006 =L= 0;
e282.. x281 - b1006 =L= 0;
e283.. x282 - b1006 =L= 0;
e284.. x283 - b1006 =L= 0;
e285.. x284 - b1006 =L= 0;
e286.. x285 - b1006 =L= 0;
e287.. x286 - b1006 =L= 0;
e288.. x287 - b1006 =L= 0;
e289.. x288 - b1006 =L= 0;
e290.. x289 - b1006 =L= 0;
e291.. x290 - b1006 =L= 0;
e292.. x291 - b1006 =L= 0;
e293.. x292 - b1006 =L= 0;
e294.. x293 - b1006 =L= 0;
e295.. x294 - b1006 =L= 0;
e296.. x295 - b1006 =L= 0;
e297.. x296 - b1006 =L= 0;
e298.. x297 - b1006 =L= 0;
e299.. x298 - b1006 =L= 0;
e300.. x299 - b1006 =L= 0;
e301.. x300 - b1006 =L= 0;
e302.. x301 - b1007 =L= 0;
e303.. x302 - b1007 =L= 0;
e304.. x303 - b1007 =L= 0;
e305.. x304 - b1007 =L= 0;
e306.. x305 - b1007 =L= 0;
e307.. x306 - b1007 =L= 0;
e308.. x307 - b1007 =L= 0;
e309.. x308 - b1007 =L= 0;
e310.. x309 - b1007 =L= 0;
e311.. x310 - b1007 =L= 0;
e312.. x311 - b1007 =L= 0;
e313.. x312 - b1007 =L= 0;
e314.. x313 - b1007 =L= 0;
e315.. x314 - b1007 =L= 0;
e316.. x315 - b1007 =L= 0;
e317.. x316 - b1007 =L= 0;
e318.. x317 - b1007 =L= 0;
e319.. x318 - b1007 =L= 0;
e320.. x319 - b1007 =L= 0;
e321.. x320 - b1007 =L= 0;
e322.. x321 - b1007 =L= 0;
e323.. x322 - b1007 =L= 0;
e324.. x323 - b1007 =L= 0;
e325.. x324 - b1007 =L= 0;
e326.. x325 - b1007 =L= 0;
e327.. x326 - b1007 =L= 0;
e328.. x327 - b1007 =L= 0;
e329.. x328 - b1007 =L= 0;
e330.. x329 - b1007 =L= 0;
e331.. x330 - b1007 =L= 0;
e332.. x331 - b1007 =L= 0;
e333.. x332 - b1007 =L= 0;
e334.. x333 - b1007 =L= 0;
e335.. x334 - b1007 =L= 0;
e336.. x335 - b1007 =L= 0;
e337.. x336 - b1007 =L= 0;
e338.. x337 - b1007 =L= 0;
e339.. x338 - b1007 =L= 0;
e340.. x339 - b1007 =L= 0;
e341.. x340 - b1007 =L= 0;
e342.. x341 - b1007 =L= 0;
e343.. x342 - b1007 =L= 0;
e344.. x343 - b1007 =L= 0;
e345.. x344 - b1007 =L= 0;
e346.. x345 - b1007 =L= 0;
e347.. x346 - b1007 =L= 0;
e348.. x347 - b1007 =L= 0;
e349.. x348 - b1007 =L= 0;
e350.. x349 - b1007 =L= 0;
e351.. x350 - b1007 =L= 0;
e352.. x351 - b1008 =L= 0;
e353.. x352 - b1008 =L= 0;
e354.. x353 - b1008 =L= 0;
e355.. x354 - b1008 =L= 0;
e356.. x355 - b1008 =L= 0;
e357.. x356 - b1008 =L= 0;
e358.. x357 - b1008 =L= 0;
e359.. x358 - b1008 =L= 0;
e360.. x359 - b1008 =L= 0;
e361.. x360 - b1008 =L= 0;
e362.. x361 - b1008 =L= 0;
e363.. x362 - b1008 =L= 0;
e364.. x363 - b1008 =L= 0;
e365.. x364 - b1008 =L= 0;
e366.. x365 - b1008 =L= 0;
e367.. x366 - b1008 =L= 0;
e368.. x367 - b1008 =L= 0;
e369.. x368 - b1008 =L= 0;
e370.. x369 - b1008 =L= 0;
e371.. x370 - b1008 =L= 0;
e372.. x371 - b1008 =L= 0;
e373.. x372 - b1008 =L= 0;
e374.. x373 - b1008 =L= 0;
e375.. x374 - b1008 =L= 0;
e376.. x375 - b1008 =L= 0;
e377.. x376 - b1008 =L= 0;
e378.. x377 - b1008 =L= 0;
e379.. x378 - b1008 =L= 0;
e380.. x379 - b1008 =L= 0;
e381.. x380 - b1008 =L= 0;
e382.. x381 - b1008 =L= 0;
e383.. x382 - b1008 =L= 0;
e384.. x383 - b1008 =L= 0;
e385.. x384 - b1008 =L= 0;
e386.. x385 - b1008 =L= 0;
e387.. x386 - b1008 =L= 0;
e388.. x387 - b1008 =L= 0;
e389.. x388 - b1008 =L= 0;
e390.. x389 - b1008 =L= 0;
e391.. x390 - b1008 =L= 0;
e392.. x391 - b1008 =L= 0;
e393.. x392 - b1008 =L= 0;
e394.. x393 - b1008 =L= 0;
e395.. x394 - b1008 =L= 0;
e396.. x395 - b1008 =L= 0;
e397.. x396 - b1008 =L= 0;
e398.. x397 - b1008 =L= 0;
e399.. x398 - b1008 =L= 0;
e400.. x399 - b1008 =L= 0;
e401.. x400 - b1008 =L= 0;
e402.. x401 - b1009 =L= 0;
e403.. x402 - b1009 =L= 0;
e404.. x403 - b1009 =L= 0;
e405.. x404 - b1009 =L= 0;
e406.. x405 - b1009 =L= 0;
e407.. x406 - b1009 =L= 0;
e408.. x407 - b1009 =L= 0;
e409.. x408 - b1009 =L= 0;
e410.. x409 - b1009 =L= 0;
e411.. x410 - b1009 =L= 0;
e412.. x411 - b1009 =L= 0;
e413.. x412 - b1009 =L= 0;
e414.. x413 - b1009 =L= 0;
e415.. x414 - b1009 =L= 0;
e416.. x415 - b1009 =L= 0;
e417.. x416 - b1009 =L= 0;
e418.. x417 - b1009 =L= 0;
e419.. x418 - b1009 =L= 0;
e420.. x419 - b1009 =L= 0;
e421.. x420 - b1009 =L= 0;
e422.. x421 - b1009 =L= 0;
e423.. x422 - b1009 =L= 0;
e424.. x423 - b1009 =L= 0;
e425.. x424 - b1009 =L= 0;
e426.. x425 - b1009 =L= 0;
e427.. x426 - b1009 =L= 0;
e428.. x427 - b1009 =L= 0;
e429.. x428 - b1009 =L= 0;
e430.. x429 - b1009 =L= 0;
e431.. x430 - b1009 =L= 0;
e432.. x431 - b1009 =L= 0;
e433.. x432 - b1009 =L= 0;
e434.. x433 - b1009 =L= 0;
e435.. x434 - b1009 =L= 0;
e436.. x435 - b1009 =L= 0;
e437.. x436 - b1009 =L= 0;
e438.. x437 - b1009 =L= 0;
e439.. x438 - b1009 =L= 0;
e440.. x439 - b1009 =L= 0;
e441.. x440 - b1009 =L= 0;
e442.. x441 - b1009 =L= 0;
e443.. x442 - b1009 =L= 0;
e444.. x443 - b1009 =L= 0;
e445.. x444 - b1009 =L= 0;
e446.. x445 - b1009 =L= 0;
e447.. x446 - b1009 =L= 0;
e448.. x447 - b1009 =L= 0;
e449.. x448 - b1009 =L= 0;
e450.. x449 - b1009 =L= 0;
e451.. x450 - b1009 =L= 0;
e452.. x451 - b1010 =L= 0;
e453.. x452 - b1010 =L= 0;
e454.. x453 - b1010 =L= 0;
e455.. x454 - b1010 =L= 0;
e456.. x455 - b1010 =L= 0;
e457.. x456 - b1010 =L= 0;
e458.. x457 - b1010 =L= 0;
e459.. x458 - b1010 =L= 0;
e460.. x459 - b1010 =L= 0;
e461.. x460 - b1010 =L= 0;
e462.. x461 - b1010 =L= 0;
e463.. x462 - b1010 =L= 0;
e464.. x463 - b1010 =L= 0;
e465.. x464 - b1010 =L= 0;
e466.. x465 - b1010 =L= 0;
e467.. x466 - b1010 =L= 0;
e468.. x467 - b1010 =L= 0;
e469.. x468 - b1010 =L= 0;
e470.. x469 - b1010 =L= 0;
e471.. x470 - b1010 =L= 0;
e472.. x471 - b1010 =L= 0;
e473.. x472 - b1010 =L= 0;
e474.. x473 - b1010 =L= 0;
e475.. x474 - b1010 =L= 0;
e476.. x475 - b1010 =L= 0;
e477.. x476 - b1010 =L= 0;
e478.. x477 - b1010 =L= 0;
e479.. x478 - b1010 =L= 0;
e480.. x479 - b1010 =L= 0;
e481.. x480 - b1010 =L= 0;
e482.. x481 - b1010 =L= 0;
e483.. x482 - b1010 =L= 0;
e484.. x483 - b1010 =L= 0;
e485.. x484 - b1010 =L= 0;
e486.. x485 - b1010 =L= 0;
e487.. x486 - b1010 =L= 0;
e488.. x487 - b1010 =L= 0;
e489.. x488 - b1010 =L= 0;
e490.. x489 - b1010 =L= 0;
e491.. x490 - b1010 =L= 0;
e492.. x491 - b1010 =L= 0;
e493.. x492 - b1010 =L= 0;
e494.. x493 - b1010 =L= 0;
e495.. x494 - b1010 =L= 0;
e496.. x495 - b1010 =L= 0;
e497.. x496 - b1010 =L= 0;
e498.. x497 - b1010 =L= 0;
e499.. x498 - b1010 =L= 0;
e500.. x499 - b1010 =L= 0;
e501.. x500 - b1010 =L= 0;
e502.. x501 - b1011 =L= 0;
e503.. x502 - b1011 =L= 0;
e504.. x503 - b1011 =L= 0;
e505.. x504 - b1011 =L= 0;
e506.. x505 - b1011 =L= 0;
e507.. x506 - b1011 =L= 0;
e508.. x507 - b1011 =L= 0;
e509.. x508 - b1011 =L= 0;
e510.. x509 - b1011 =L= 0;
e511.. x510 - b1011 =L= 0;
e512.. x511 - b1011 =L= 0;
e513.. x512 - b1011 =L= 0;
e514.. x513 - b1011 =L= 0;
e515.. x514 - b1011 =L= 0;
e516.. x515 - b1011 =L= 0;
e517.. x516 - b1011 =L= 0;
e518.. x517 - b1011 =L= 0;
e519.. x518 - b1011 =L= 0;
e520.. x519 - b1011 =L= 0;
e521.. x520 - b1011 =L= 0;
e522.. x521 - b1011 =L= 0;
e523.. x522 - b1011 =L= 0;
e524.. x523 - b1011 =L= 0;
e525.. x524 - b1011 =L= 0;
e526.. x525 - b1011 =L= 0;
e527.. x526 - b1011 =L= 0;
e528.. x527 - b1011 =L= 0;
e529.. x528 - b1011 =L= 0;
e530.. x529 - b1011 =L= 0;
e531.. x530 - b1011 =L= 0;
e532.. x531 - b1011 =L= 0;
e533.. x532 - b1011 =L= 0;
e534.. x533 - b1011 =L= 0;
e535.. x534 - b1011 =L= 0;
e536.. x535 - b1011 =L= 0;
e537.. x536 - b1011 =L= 0;
e538.. x537 - b1011 =L= 0;
e539.. x538 - b1011 =L= 0;
e540.. x539 - b1011 =L= 0;
e541.. x540 - b1011 =L= 0;
e542.. x541 - b1011 =L= 0;
e543.. x542 - b1011 =L= 0;
e544.. x543 - b1011 =L= 0;
e545.. x544 - b1011 =L= 0;
e546.. x545 - b1011 =L= 0;
e547.. x546 - b1011 =L= 0;
e548.. x547 - b1011 =L= 0;
e549.. x548 - b1011 =L= 0;
e550.. x549 - b1011 =L= 0;
e551.. x550 - b1011 =L= 0;
e552.. x551 - b1012 =L= 0;
e553.. x552 - b1012 =L= 0;
e554.. x553 - b1012 =L= 0;
e555.. x554 - b1012 =L= 0;
e556.. x555 - b1012 =L= 0;
e557.. x556 - b1012 =L= 0;
e558.. x557 - b1012 =L= 0;
e559.. x558 - b1012 =L= 0;
e560.. x559 - b1012 =L= 0;
e561.. x560 - b1012 =L= 0;
e562.. x561 - b1012 =L= 0;
e563.. x562 - b1012 =L= 0;
e564.. x563 - b1012 =L= 0;
e565.. x564 - b1012 =L= 0;
e566.. x565 - b1012 =L= 0;
e567.. x566 - b1012 =L= 0;
e568.. x567 - b1012 =L= 0;
e569.. x568 - b1012 =L= 0;
e570.. x569 - b1012 =L= 0;
e571.. x570 - b1012 =L= 0;
e572.. x571 - b1012 =L= 0;
e573.. x572 - b1012 =L= 0;
e574.. x573 - b1012 =L= 0;
e575.. x574 - b1012 =L= 0;
e576.. x575 - b1012 =L= 0;
e577.. x576 - b1012 =L= 0;
e578.. x577 - b1012 =L= 0;
e579.. x578 - b1012 =L= 0;
e580.. x579 - b1012 =L= 0;
e581.. x580 - b1012 =L= 0;
e582.. x581 - b1012 =L= 0;
e583.. x582 - b1012 =L= 0;
e584.. x583 - b1012 =L= 0;
e585.. x584 - b1012 =L= 0;
e586.. x585 - b1012 =L= 0;
e587.. x586 - b1012 =L= 0;
e588.. x587 - b1012 =L= 0;
e589.. x588 - b1012 =L= 0;
e590.. x589 - b1012 =L= 0;
e591.. x590 - b1012 =L= 0;
e592.. x591 - b1012 =L= 0;
e593.. x592 - b1012 =L= 0;
e594.. x593 - b1012 =L= 0;
e595.. x594 - b1012 =L= 0;
e596.. x595 - b1012 =L= 0;
e597.. x596 - b1012 =L= 0;
e598.. x597 - b1012 =L= 0;
e599.. x598 - b1012 =L= 0;
e600.. x599 - b1012 =L= 0;
e601.. x600 - b1012 =L= 0;
e602.. x601 - b1013 =L= 0;
e603.. x602 - b1013 =L= 0;
e604.. x603 - b1013 =L= 0;
e605.. x604 - b1013 =L= 0;
e606.. x605 - b1013 =L= 0;
e607.. x606 - b1013 =L= 0;
e608.. x607 - b1013 =L= 0;
e609.. x608 - b1013 =L= 0;
e610.. x609 - b1013 =L= 0;
e611.. x610 - b1013 =L= 0;
e612.. x611 - b1013 =L= 0;
e613.. x612 - b1013 =L= 0;
e614.. x613 - b1013 =L= 0;
e615.. x614 - b1013 =L= 0;
e616.. x615 - b1013 =L= 0;
e617.. x616 - b1013 =L= 0;
e618.. x617 - b1013 =L= 0;
e619.. x618 - b1013 =L= 0;
e620.. x619 - b1013 =L= 0;
e621.. x620 - b1013 =L= 0;
e622.. x621 - b1013 =L= 0;
e623.. x622 - b1013 =L= 0;
e624.. x623 - b1013 =L= 0;
e625.. x624 - b1013 =L= 0;
e626.. x625 - b1013 =L= 0;
e627.. x626 - b1013 =L= 0;
e628.. x627 - b1013 =L= 0;
e629.. x628 - b1013 =L= 0;
e630.. x629 - b1013 =L= 0;
e631.. x630 - b1013 =L= 0;
e632.. x631 - b1013 =L= 0;
e633.. x632 - b1013 =L= 0;
e634.. x633 - b1013 =L= 0;
e635.. x634 - b1013 =L= 0;
e636.. x635 - b1013 =L= 0;
e637.. x636 - b1013 =L= 0;
e638.. x637 - b1013 =L= 0;
e639.. x638 - b1013 =L= 0;
e640.. x639 - b1013 =L= 0;
e641.. x640 - b1013 =L= 0;
e642.. x641 - b1013 =L= 0;
e643.. x642 - b1013 =L= 0;
e644.. x643 - b1013 =L= 0;
e645.. x644 - b1013 =L= 0;
e646.. x645 - b1013 =L= 0;
e647.. x646 - b1013 =L= 0;
e648.. x647 - b1013 =L= 0;
e649.. x648 - b1013 =L= 0;
e650.. x649 - b1013 =L= 0;
e651.. x650 - b1013 =L= 0;
e652.. x651 - b1014 =L= 0;
e653.. x652 - b1014 =L= 0;
e654.. x653 - b1014 =L= 0;
e655.. x654 - b1014 =L= 0;
e656.. x655 - b1014 =L= 0;
e657.. x656 - b1014 =L= 0;
e658.. x657 - b1014 =L= 0;
e659.. x658 - b1014 =L= 0;
e660.. x659 - b1014 =L= 0;
e661.. x660 - b1014 =L= 0;
e662.. x661 - b1014 =L= 0;
e663.. x662 - b1014 =L= 0;
e664.. x663 - b1014 =L= 0;
e665.. x664 - b1014 =L= 0;
e666.. x665 - b1014 =L= 0;
e667.. x666 - b1014 =L= 0;
e668.. x667 - b1014 =L= 0;
e669.. x668 - b1014 =L= 0;
e670.. x669 - b1014 =L= 0;
e671.. x670 - b1014 =L= 0;
e672.. x671 - b1014 =L= 0;
e673.. x672 - b1014 =L= 0;
e674.. x673 - b1014 =L= 0;
e675.. x674 - b1014 =L= 0;
e676.. x675 - b1014 =L= 0;
e677.. x676 - b1014 =L= 0;
e678.. x677 - b1014 =L= 0;
e679.. x678 - b1014 =L= 0;
e680.. x679 - b1014 =L= 0;
e681.. x680 - b1014 =L= 0;
e682.. x681 - b1014 =L= 0;
e683.. x682 - b1014 =L= 0;
e684.. x683 - b1014 =L= 0;
e685.. x684 - b1014 =L= 0;
e686.. x685 - b1014 =L= 0;
e687.. x686 - b1014 =L= 0;
e688.. x687 - b1014 =L= 0;
e689.. x688 - b1014 =L= 0;
e690.. x689 - b1014 =L= 0;
e691.. x690 - b1014 =L= 0;
e692.. x691 - b1014 =L= 0;
e693.. x692 - b1014 =L= 0;
e694.. x693 - b1014 =L= 0;
e695.. x694 - b1014 =L= 0;
e696.. x695 - b1014 =L= 0;
e697.. x696 - b1014 =L= 0;
e698.. x697 - b1014 =L= 0;
e699.. x698 - b1014 =L= 0;
e700.. x699 - b1014 =L= 0;
e701.. x700 - b1014 =L= 0;
e702.. x701 - b1015 =L= 0;
e703.. x702 - b1015 =L= 0;
e704.. x703 - b1015 =L= 0;
e705.. x704 - b1015 =L= 0;
e706.. x705 - b1015 =L= 0;
e707.. x706 - b1015 =L= 0;
e708.. x707 - b1015 =L= 0;
e709.. x708 - b1015 =L= 0;
e710.. x709 - b1015 =L= 0;
e711.. x710 - b1015 =L= 0;
e712.. x711 - b1015 =L= 0;
e713.. x712 - b1015 =L= 0;
e714.. x713 - b1015 =L= 0;
e715.. x714 - b1015 =L= 0;
e716.. x715 - b1015 =L= 0;
e717.. x716 - b1015 =L= 0;
e718.. x717 - b1015 =L= 0;
e719.. x718 - b1015 =L= 0;
e720.. x719 - b1015 =L= 0;
e721.. x720 - b1015 =L= 0;
e722.. x721 - b1015 =L= 0;
e723.. x722 - b1015 =L= 0;
e724.. x723 - b1015 =L= 0;
e725.. x724 - b1015 =L= 0;
e726.. x725 - b1015 =L= 0;
e727.. x726 - b1015 =L= 0;
e728.. x727 - b1015 =L= 0;
e729.. x728 - b1015 =L= 0;
e730.. x729 - b1015 =L= 0;
e731.. x730 - b1015 =L= 0;
e732.. x731 - b1015 =L= 0;
e733.. x732 - b1015 =L= 0;
e734.. x733 - b1015 =L= 0;
e735.. x734 - b1015 =L= 0;
e736.. x735 - b1015 =L= 0;
e737.. x736 - b1015 =L= 0;
e738.. x737 - b1015 =L= 0;
e739.. x738 - b1015 =L= 0;
e740.. x739 - b1015 =L= 0;
e741.. x740 - b1015 =L= 0;
e742.. x741 - b1015 =L= 0;
e743.. x742 - b1015 =L= 0;
e744.. x743 - b1015 =L= 0;
e745.. x744 - b1015 =L= 0;
e746.. x745 - b1015 =L= 0;
e747.. x746 - b1015 =L= 0;
e748.. x747 - b1015 =L= 0;
e749.. x748 - b1015 =L= 0;
e750.. x749 - b1015 =L= 0;
e751.. x750 - b1015 =L= 0;
e752.. x751 - b1016 =L= 0;
e753.. x752 - b1016 =L= 0;
e754.. x753 - b1016 =L= 0;
e755.. x754 - b1016 =L= 0;
e756.. x755 - b1016 =L= 0;
e757.. x756 - b1016 =L= 0;
e758.. x757 - b1016 =L= 0;
e759.. x758 - b1016 =L= 0;
e760.. x759 - b1016 =L= 0;
e761.. x760 - b1016 =L= 0;
e762.. x761 - b1016 =L= 0;
e763.. x762 - b1016 =L= 0;
e764.. x763 - b1016 =L= 0;
e765.. x764 - b1016 =L= 0;
e766.. x765 - b1016 =L= 0;
e767.. x766 - b1016 =L= 0;
e768.. x767 - b1016 =L= 0;
e769.. x768 - b1016 =L= 0;
e770.. x769 - b1016 =L= 0;
e771.. x770 - b1016 =L= 0;
e772.. x771 - b1016 =L= 0;
e773.. x772 - b1016 =L= 0;
e774.. x773 - b1016 =L= 0;
e775.. x774 - b1016 =L= 0;
e776.. x775 - b1016 =L= 0;
e777.. x776 - b1016 =L= 0;
e778.. x777 - b1016 =L= 0;
e779.. x778 - b1016 =L= 0;
e780.. x779 - b1016 =L= 0;
e781.. x780 - b1016 =L= 0;
e782.. x781 - b1016 =L= 0;
e783.. x782 - b1016 =L= 0;
e784.. x783 - b1016 =L= 0;
e785.. x784 - b1016 =L= 0;
e786.. x785 - b1016 =L= 0;
e787.. x786 - b1016 =L= 0;
e788.. x787 - b1016 =L= 0;
e789.. x788 - b1016 =L= 0;
e790.. x789 - b1016 =L= 0;
e791.. x790 - b1016 =L= 0;
e792.. x791 - b1016 =L= 0;
e793.. x792 - b1016 =L= 0;
e794.. x793 - b1016 =L= 0;
e795.. x794 - b1016 =L= 0;
e796.. x795 - b1016 =L= 0;
e797.. x796 - b1016 =L= 0;
e798.. x797 - b1016 =L= 0;
e799.. x798 - b1016 =L= 0;
e800.. x799 - b1016 =L= 0;
e801.. x800 - b1016 =L= 0;
e802.. x801 - b1017 =L= 0;
e803.. x802 - b1017 =L= 0;
e804.. x803 - b1017 =L= 0;
e805.. x804 - b1017 =L= 0;
e806.. x805 - b1017 =L= 0;
e807.. x806 - b1017 =L= 0;
e808.. x807 - b1017 =L= 0;
e809.. x808 - b1017 =L= 0;
e810.. x809 - b1017 =L= 0;
e811.. x810 - b1017 =L= 0;
e812.. x811 - b1017 =L= 0;
e813.. x812 - b1017 =L= 0;
e814.. x813 - b1017 =L= 0;
e815.. x814 - b1017 =L= 0;
e816.. x815 - b1017 =L= 0;
e817.. x816 - b1017 =L= 0;
e818.. x817 - b1017 =L= 0;
e819.. x818 - b1017 =L= 0;
e820.. x819 - b1017 =L= 0;
e821.. x820 - b1017 =L= 0;
e822.. x821 - b1017 =L= 0;
e823.. x822 - b1017 =L= 0;
e824.. x823 - b1017 =L= 0;
e825.. x824 - b1017 =L= 0;
e826.. x825 - b1017 =L= 0;
e827.. x826 - b1017 =L= 0;
e828.. x827 - b1017 =L= 0;
e829.. x828 - b1017 =L= 0;
e830.. x829 - b1017 =L= 0;
e831.. x830 - b1017 =L= 0;
e832.. x831 - b1017 =L= 0;
e833.. x832 - b1017 =L= 0;
e834.. x833 - b1017 =L= 0;
e835.. x834 - b1017 =L= 0;
e836.. x835 - b1017 =L= 0;
e837.. x836 - b1017 =L= 0;
e838.. x837 - b1017 =L= 0;
e839.. x838 - b1017 =L= 0;
e840.. x839 - b1017 =L= 0;
e841.. x840 - b1017 =L= 0;
e842.. x841 - b1017 =L= 0;
e843.. x842 - b1017 =L= 0;
e844.. x843 - b1017 =L= 0;
e845.. x844 - b1017 =L= 0;
e846.. x845 - b1017 =L= 0;
e847.. x846 - b1017 =L= 0;
e848.. x847 - b1017 =L= 0;
e849.. x848 - b1017 =L= 0;
e850.. x849 - b1017 =L= 0;
e851.. x850 - b1017 =L= 0;
e852.. x851 - b1018 =L= 0;
e853.. x852 - b1018 =L= 0;
e854.. x853 - b1018 =L= 0;
e855.. x854 - b1018 =L= 0;
e856.. x855 - b1018 =L= 0;
e857.. x856 - b1018 =L= 0;
e858.. x857 - b1018 =L= 0;
e859.. x858 - b1018 =L= 0;
e860.. x859 - b1018 =L= 0;
e861.. x860 - b1018 =L= 0;
e862.. x861 - b1018 =L= 0;
e863.. x862 - b1018 =L= 0;
e864.. x863 - b1018 =L= 0;
e865.. x864 - b1018 =L= 0;
e866.. x865 - b1018 =L= 0;
e867.. x866 - b1018 =L= 0;
e868.. x867 - b1018 =L= 0;
e869.. x868 - b1018 =L= 0;
e870.. x869 - b1018 =L= 0;
e871.. x870 - b1018 =L= 0;
e872.. x871 - b1018 =L= 0;
e873.. x872 - b1018 =L= 0;
e874.. x873 - b1018 =L= 0;
e875.. x874 - b1018 =L= 0;
e876.. x875 - b1018 =L= 0;
e877.. x876 - b1018 =L= 0;
e878.. x877 - b1018 =L= 0;
e879.. x878 - b1018 =L= 0;
e880.. x879 - b1018 =L= 0;
e881.. x880 - b1018 =L= 0;
e882.. x881 - b1018 =L= 0;
e883.. x882 - b1018 =L= 0;
e884.. x883 - b1018 =L= 0;
e885.. x884 - b1018 =L= 0;
e886.. x885 - b1018 =L= 0;
e887.. x886 - b1018 =L= 0;
e888.. x887 - b1018 =L= 0;
e889.. x888 - b1018 =L= 0;
e890.. x889 - b1018 =L= 0;
e891.. x890 - b1018 =L= 0;
e892.. x891 - b1018 =L= 0;
e893.. x892 - b1018 =L= 0;
e894.. x893 - b1018 =L= 0;
e895.. x894 - b1018 =L= 0;
e896.. x895 - b1018 =L= 0;
e897.. x896 - b1018 =L= 0;
e898.. x897 - b1018 =L= 0;
e899.. x898 - b1018 =L= 0;
e900.. x899 - b1018 =L= 0;
e901.. x900 - b1018 =L= 0;
e902.. x901 - b1019 =L= 0;
e903.. x902 - b1019 =L= 0;
e904.. x903 - b1019 =L= 0;
e905.. x904 - b1019 =L= 0;
e906.. x905 - b1019 =L= 0;
e907.. x906 - b1019 =L= 0;
e908.. x907 - b1019 =L= 0;
e909.. x908 - b1019 =L= 0;
e910.. x909 - b1019 =L= 0;
e911.. x910 - b1019 =L= 0;
e912.. x911 - b1019 =L= 0;
e913.. x912 - b1019 =L= 0;
e914.. x913 - b1019 =L= 0;
e915.. x914 - b1019 =L= 0;
e916.. x915 - b1019 =L= 0;
e917.. x916 - b1019 =L= 0;
e918.. x917 - b1019 =L= 0;
e919.. x918 - b1019 =L= 0;
e920.. x919 - b1019 =L= 0;
e921.. x920 - b1019 =L= 0;
e922.. x921 - b1019 =L= 0;
e923.. x922 - b1019 =L= 0;
e924.. x923 - b1019 =L= 0;
e925.. x924 - b1019 =L= 0;
e926.. x925 - b1019 =L= 0;
e927.. x926 - b1019 =L= 0;
e928.. x927 - b1019 =L= 0;
e929.. x928 - b1019 =L= 0;
e930.. x929 - b1019 =L= 0;
e931.. x930 - b1019 =L= 0;
e932.. x931 - b1019 =L= 0;
e933.. x932 - b1019 =L= 0;
e934.. x933 - b1019 =L= 0;
e935.. x934 - b1019 =L= 0;
e936.. x935 - b1019 =L= 0;
e937.. x936 - b1019 =L= 0;
e938.. x937 - b1019 =L= 0;
e939.. x938 - b1019 =L= 0;
e940.. x939 - b1019 =L= 0;
e941.. x940 - b1019 =L= 0;
e942.. x941 - b1019 =L= 0;
e943.. x942 - b1019 =L= 0;
e944.. x943 - b1019 =L= 0;
e945.. x944 - b1019 =L= 0;
e946.. x945 - b1019 =L= 0;
e947.. x946 - b1019 =L= 0;
e948.. x947 - b1019 =L= 0;
e949.. x948 - b1019 =L= 0;
e950.. x949 - b1019 =L= 0;
e951.. x950 - b1019 =L= 0;
e952.. x951 - b1020 =L= 0;
e953.. x952 - b1020 =L= 0;
e954.. x953 - b1020 =L= 0;
e955.. x954 - b1020 =L= 0;
e956.. x955 - b1020 =L= 0;
e957.. x956 - b1020 =L= 0;
e958.. x957 - b1020 =L= 0;
e959.. x958 - b1020 =L= 0;
e960.. x959 - b1020 =L= 0;
e961.. x960 - b1020 =L= 0;
e962.. x961 - b1020 =L= 0;
e963.. x962 - b1020 =L= 0;
e964.. x963 - b1020 =L= 0;
e965.. x964 - b1020 =L= 0;
e966.. x965 - b1020 =L= 0;
e967.. x966 - b1020 =L= 0;
e968.. x967 - b1020 =L= 0;
e969.. x968 - b1020 =L= 0;
e970.. x969 - b1020 =L= 0;
e971.. x970 - b1020 =L= 0;
e972.. x971 - b1020 =L= 0;
e973.. x972 - b1020 =L= 0;
e974.. x973 - b1020 =L= 0;
e975.. x974 - b1020 =L= 0;
e976.. x975 - b1020 =L= 0;
e977.. x976 - b1020 =L= 0;
e978.. x977 - b1020 =L= 0;
e979.. x978 - b1020 =L= 0;
e980.. x979 - b1020 =L= 0;
e981.. x980 - b1020 =L= 0;
e982.. x981 - b1020 =L= 0;
e983.. x982 - b1020 =L= 0;
e984.. x983 - b1020 =L= 0;
e985.. x984 - b1020 =L= 0;
e986.. x985 - b1020 =L= 0;
e987.. x986 - b1020 =L= 0;
e988.. x987 - b1020 =L= 0;
e989.. x988 - b1020 =L= 0;
e990.. x989 - b1020 =L= 0;
e991.. x990 - b1020 =L= 0;
e992.. x991 - b1020 =L= 0;
e993.. x992 - b1020 =L= 0;
e994.. x993 - b1020 =L= 0;
e995.. x994 - b1020 =L= 0;
e996.. x995 - b1020 =L= 0;
e997.. x996 - b1020 =L= 0;
e998.. x997 - b1020 =L= 0;
e999.. x998 - b1020 =L= 0;
e1000.. x999 - b1020 =L= 0;
e1001.. x1000 - b1020 =L= 0;
e1002.. x1 + x51 + x101 + x151 + x201 + x251 + x301 + x351 + x401 + x451
+ x501 + x551 + x601 + x651 + x701 + x751 + x801 + x851 + x901 + x951
=E= 1;
e1003.. x2 + x52 + x102 + x152 + x202 + x252 + x302 + x352 + x402 + x452
+ x502 + x552 + x602 + x652 + x702 + x752 + x802 + x852 + x902 + x952
=E= 1;
e1004.. x3 + x53 + x103 + x153 + x203 + x253 + x303 + x353 + x403 + x453
+ x503 + x553 + x603 + x653 + x703 + x753 + x803 + x853 + x903 + x953
=E= 1;
e1005.. x4 + x54 + x104 + x154 + x204 + x254 + x304 + x354 + x404 + x454
+ x504 + x554 + x604 + x654 + x704 + x754 + x804 + x854 + x904 + x954
=E= 1;
e1006.. x5 + x55 + x105 + x155 + x205 + x255 + x305 + x355 + x405 + x455
+ x505 + x555 + x605 + x655 + x705 + x755 + x805 + x855 + x905 + x955
=E= 1;
e1007.. x6 + x56 + x106 + x156 + x206 + x256 + x306 + x356 + x406 + x456
+ x506 + x556 + x606 + x656 + x706 + x756 + x806 + x856 + x906 + x956
=E= 1;
e1008.. x7 + x57 + x107 + x157 + x207 + x257 + x307 + x357 + x407 + x457
+ x507 + x557 + x607 + x657 + x707 + x757 + x807 + x857 + x907 + x957
=E= 1;
e1009.. x8 + x58 + x108 + x158 + x208 + x258 + x308 + x358 + x408 + x458
+ x508 + x558 + x608 + x658 + x708 + x758 + x808 + x858 + x908 + x958
=E= 1;
e1010.. x9 + x59 + x109 + x159 + x209 + x259 + x309 + x359 + x409 + x459
+ x509 + x559 + x609 + x659 + x709 + x759 + x809 + x859 + x909 + x959
=E= 1;
e1011.. x10 + x60 + x110 + x160 + x210 + x260 + x310 + x360 + x410 + x460
+ x510 + x560 + x610 + x660 + x710 + x760 + x810 + x860 + x910 + x960
=E= 1;
e1012.. x11 + x61 + x111 + x161 + x211 + x261 + x311 + x361 + x411 + x461
+ x511 + x561 + x611 + x661 + x711 + x761 + x811 + x861 + x911 + x961
=E= 1;
e1013.. x12 + x62 + x112 + x162 + x212 + x262 + x312 + x362 + x412 + x462
+ x512 + x562 + x612 + x662 + x712 + x762 + x812 + x862 + x912 + x962
=E= 1;
e1014.. x13 + x63 + x113 + x163 + x213 + x263 + x313 + x363 + x413 + x463
+ x513 + x563 + x613 + x663 + x713 + x763 + x813 + x863 + x913 + x963
=E= 1;
e1015.. x14 + x64 + x114 + x164 + x214 + x264 + x314 + x364 + x414 + x464
+ x514 + x564 + x614 + x664 + x714 + x764 + x814 + x864 + x914 + x964
=E= 1;
e1016.. x15 + x65 + x115 + x165 + x215 + x265 + x315 + x365 + x415 + x465
+ x515 + x565 + x615 + x665 + x715 + x765 + x815 + x865 + x915 + x965
=E= 1;
e1017.. x16 + x66 + x116 + x166 + x216 + x266 + x316 + x366 + x416 + x466
+ x516 + x566 + x616 + x666 + x716 + x766 + x816 + x866 + x916 + x966
=E= 1;
e1018.. x17 + x67 + x117 + x167 + x217 + x267 + x317 + x367 + x417 + x467
+ x517 + x567 + x617 + x667 + x717 + x767 + x817 + x867 + x917 + x967
=E= 1;
e1019.. x18 + x68 + x118 + x168 + x218 + x268 + x318 + x368 + x418 + x468
+ x518 + x568 + x618 + x668 + x718 + x768 + x818 + x868 + x918 + x968
=E= 1;
e1020.. x19 + x69 + x119 + x169 + x219 + x269 + x319 + x369 + x419 + x469
+ x519 + x569 + x619 + x669 + x719 + x769 + x819 + x869 + x919 + x969
=E= 1;
e1021.. x20 + x70 + x120 + x170 + x220 + x270 + x320 + x370 + x420 + x470
+ x520 + x570 + x620 + x670 + x720 + x770 + x820 + x870 + x920 + x970
=E= 1;
e1022.. x21 + x71 + x121 + x171 + x221 + x271 + x321 + x371 + x421 + x471
+ x521 + x571 + x621 + x671 + x721 + x771 + x821 + x871 + x921 + x971
=E= 1;
e1023.. x22 + x72 + x122 + x172 + x222 + x272 + x322 + x372 + x422 + x472
+ x522 + x572 + x622 + x672 + x722 + x772 + x822 + x872 + x922 + x972
=E= 1;
e1024.. x23 + x73 + x123 + x173 + x223 + x273 + x323 + x373 + x423 + x473
+ x523 + x573 + x623 + x673 + x723 + x773 + x823 + x873 + x923 + x973
=E= 1;
e1025.. x24 + x74 + x124 + x174 + x224 + x274 + x324 + x374 + x424 + x474
+ x524 + x574 + x624 + x674 + x724 + x774 + x824 + x874 + x924 + x974
=E= 1;
e1026.. x25 + x75 + x125 + x175 + x225 + x275 + x325 + x375 + x425 + x475
+ x525 + x575 + x625 + x675 + x725 + x775 + x825 + x875 + x925 + x975
=E= 1;
e1027.. x26 + x76 + x126 + x176 + x226 + x276 + x326 + x376 + x426 + x476
+ x526 + x576 + x626 + x676 + x726 + x776 + x826 + x876 + x926 + x976
=E= 1;
e1028.. x27 + x77 + x127 + x177 + x227 + x277 + x327 + x377 + x427 + x477
+ x527 + x577 + x627 + x677 + x727 + x777 + x827 + x877 + x927 + x977
=E= 1;
e1029.. x28 + x78 + x128 + x178 + x228 + x278 + x328 + x378 + x428 + x478
+ x528 + x578 + x628 + x678 + x728 + x778 + x828 + x878 + x928 + x978
=E= 1;
e1030.. x29 + x79 + x129 + x179 + x229 + x279 + x329 + x379 + x429 + x479
+ x529 + x579 + x629 + x679 + x729 + x779 + x829 + x879 + x929 + x979
=E= 1;
e1031.. x30 + x80 + x130 + x180 + x230 + x280 + x330 + x380 + x430 + x480
+ x530 + x580 + x630 + x680 + x730 + x780 + x830 + x880 + x930 + x980
=E= 1;
e1032.. x31 + x81 + x131 + x181 + x231 + x281 + x331 + x381 + x431 + x481
+ x531 + x581 + x631 + x681 + x731 + x781 + x831 + x881 + x931 + x981
=E= 1;
e1033.. x32 + x82 + x132 + x182 + x232 + x282 + x332 + x382 + x432 + x482
+ x532 + x582 + x632 + x682 + x732 + x782 + x832 + x882 + x932 + x982
=E= 1;
e1034.. x33 + x83 + x133 + x183 + x233 + x283 + x333 + x383 + x433 + x483
+ x533 + x583 + x633 + x683 + x733 + x783 + x833 + x883 + x933 + x983
=E= 1;
e1035.. x34 + x84 + x134 + x184 + x234 + x284 + x334 + x384 + x434 + x484
+ x534 + x584 + x634 + x684 + x734 + x784 + x834 + x884 + x934 + x984
=E= 1;
e1036.. x35 + x85 + x135 + x185 + x235 + x285 + x335 + x385 + x435 + x485
+ x535 + x585 + x635 + x685 + x735 + x785 + x835 + x885 + x935 + x985
=E= 1;
e1037.. x36 + x86 + x136 + x186 + x236 + x286 + x336 + x386 + x436 + x486
+ x536 + x586 + x636 + x686 + x736 + x786 + x836 + x886 + x936 + x986
=E= 1;
e1038.. x37 + x87 + x137 + x187 + x237 + x287 + x337 + x387 + x437 + x487
+ x537 + x587 + x637 + x687 + x737 + x787 + x837 + x887 + x937 + x987
=E= 1;
e1039.. x38 + x88 + x138 + x188 + x238 + x288 + x338 + x388 + x438 + x488
+ x538 + x588 + x638 + x688 + x738 + x788 + x838 + x888 + x938 + x988
=E= 1;
e1040.. x39 + x89 + x139 + x189 + x239 + x289 + x339 + x389 + x439 + x489
+ x539 + x589 + x639 + x689 + x739 + x789 + x839 + x889 + x939 + x989
=E= 1;
e1041.. x40 + x90 + x140 + x190 + x240 + x290 + x340 + x390 + x440 + x490
+ x540 + x590 + x640 + x690 + x740 + x790 + x840 + x890 + x940 + x990
=E= 1;
e1042.. x41 + x91 + x141 + x191 + x241 + x291 + x341 + x391 + x441 + x491
+ x541 + x591 + x641 + x691 + x741 + x791 + x841 + x891 + x941 + x991
=E= 1;
e1043.. x42 + x92 + x142 + x192 + x242 + x292 + x342 + x392 + x442 + x492
+ x542 + x592 + x642 + x692 + x742 + x792 + x842 + x892 + x942 + x992
=E= 1;
e1044.. x43 + x93 + x143 + x193 + x243 + x293 + x343 + x393 + x443 + x493
+ x543 + x593 + x643 + x693 + x743 + x793 + x843 + x893 + x943 + x993
=E= 1;
e1045.. x44 + x94 + x144 + x194 + x244 + x294 + x344 + x394 + x444 + x494
+ x544 + x594 + x644 + x694 + x744 + x794 + x844 + x894 + x944 + x994
=E= 1;
e1046.. x45 + x95 + x145 + x195 + x245 + x295 + x345 + x395 + x445 + x495
+ x545 + x595 + x645 + x695 + x745 + x795 + x845 + x895 + x945 + x995
=E= 1;
e1047.. x46 + x96 + x146 + x196 + x246 + x296 + x346 + x396 + x446 + x496
+ x546 + x596 + x646 + x696 + x746 + x796 + x846 + x896 + x946 + x996
=E= 1;
e1048.. x47 + x97 + x147 + x197 + x247 + x297 + x347 + x397 + x447 + x497
+ x547 + x597 + x647 + x697 + x747 + x797 + x847 + x897 + x947 + x997
=E= 1;
e1049.. x48 + x98 + x148 + x198 + x248 + x298 + x348 + x398 + x448 + x498
+ x548 + x598 + x648 + x698 + x748 + x798 + x848 + x898 + x948 + x998
=E= 1;
e1050.. x49 + x99 + x149 + x199 + x249 + x299 + x349 + x399 + x449 + x499
+ x549 + x599 + x649 + x699 + x749 + x799 + x849 + x899 + x949 + x999
=E= 1;
e1051.. x50 + x100 + x150 + x200 + x250 + x300 + x350 + x400 + x450 + x500
+ x550 + x600 + x650 + x700 + x750 + x800 + x850 + x900 + x950 + x1000
=E= 1;
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: 2024-12-17 Git hash: 8eaceb91