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)
403.47886540 p1 ( gdx sol )
(infeas: 3e-16)
230.20214950 p2 ( gdx sol )
(infeas: 4e-15)
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 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
*       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
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
          ,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
          ,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
          ,e806,e807,e808,e809,e810,e811,e812,e813,e814,e815,e816,e817,e818
          ,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
          ,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
          ,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
          ,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
          ,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
          ,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
          ,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
          ,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
          ,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
          ,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
          ,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
          ,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
          ,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
          ,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
          ,e1001,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
          ,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
          ,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
          ,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
          ,e1045,e1046,e1047,e1048,e1049,e1050,e1051;


e1.. -(48.8554584915799*x1*x1 + 53.9866118946038*x2*x2 + 32.2474858966649*x3*x3
      + 25.7320045522626*x4*x4 + 44.8041748971961*x5*x5 + 39.2874586313035*x6*
     x6 + 46.5335812857622*x7*x7 + 41.6267030962109*x8*x8 + 44.7352479103365*x9
     *x9 + 13.7922846635507*x10*x10 + 29.7236346286992*x11*x11 + 
     37.7953456306208*x12*x12 + 2.1694344083028*x13*x13 + 27.8622079378829*x14*
     x14 + 46.9024947590224*x15*x15 + 28.7851477365269*x16*x16 + 
     45.4201600399348*x17*x17 + 41.0169667711524*x18*x18 + 38.5887919298439*x19
     *x19 + 37.392204096138*x20*x20 + 41.1741984665897*x21*x21 + 
     39.3376253421046*x22*x22 + 6.19594894014753*x23*x23 + 43.7829760275622*x24
     *x24 + 39.6189399416393*x25*x25 + 17.9122017523285*x26*x26 + 
     32.1022690820397*x27*x27 + 15.577579659501*x28*x28 + 48.0958110165587*x29*
     x29 + 44.242610019511*x30*x30 + 12.9078629017768*x31*x31 + 
     29.6237146046815*x32*x32 + 40.2127228205451*x33*x33 + 27.4839971896194*x34
     *x34 + 47.3974691677771*x35*x35 + 47.4791664541259*x36*x36 + 
     56.7917367845697*x37*x37 + 20.9254052188314*x38*x38 + 14.4109268203302*x39
     *x39 + 43.2009728797349*x40*x40 + 46.0286285679978*x41*x41 + 
     13.6029869768736*x42*x42 + 51.5465349357845*x43*x43 + 25.6997780626924*x44
     *x44 + 2.4620548405504*x45*x45 + 27.9568619443691*x46*x46 + 
     40.396445663609*x47*x47 + 11.2663848037081*x48*x48 + 31.5210489875165*x49*
     x49 + 25.4576063089556*x50*x50 + 15.8516003339703*x51*x51 + 
     30.0846775730623*x52*x52 + 35.3611101637529*x53*x53 + 47.9613905183025*x54
     *x54 + 33.1951313194605*x55*x55 + 18.6512031945736*x56*x56 + 
     17.7880187830563*x57*x57 + 49.860767401581*x58*x58 + 16.5586610587482*x59*
     x59 + 32.0610602907049*x60*x60 + 14.5686048248382*x61*x61 + 
     16.3739140550006*x62*x62 + 42.0925643810083*x63*x63 + 35.5248318215409*x64
     *x64 + 12.8137994628541*x65*x65 + 20.3070738215987*x66*x66 + 
     4.78600070516521*x67*x67 + 15.2775158615347*x68*x68 + 14.4456238787108*x69
     *x69 + 8.2452521993196*x70*x70 + 41.5193919157908*x71*x71 + 
     16.1530025233654*x72*x72 + 40.5968930080003*x73*x73 + 20.6209551856633*x74
     *x74 + 15.6829694385359*x75*x75 + 27.3165102680304*x76*x76 + 
     12.7873080761611*x77*x77 + 30.61021703164*x78*x78 + 17.7940056112844*x79*
     x79 + 3.45558376016331*x80*x80 + 44.215263731464*x81*x81 + 
     22.4721650499974*x82*x82 + 5.87741265005936*x83*x83 + 20.440898654042*x84*
     x84 + 6.01668263765759*x85*x85 + 9.76377065215142*x86*x86 + 
     31.4920320363795*x87*x87 + 32.5795582029762*x88*x88 + 29.9498707723918*x89
     *x89 + 22.2528495134374*x90*x90 + 33.5215310060452*x91*x91 + 
     31.1379536249797*x92*x92 + 26.4191025637888*x93*x93 + 37.6706918870347*x94
     *x94 + 42.5947843160881*x95*x95 + 17.7081325674203*x96*x96 + 
     6.54712075315253*x97*x97 + 32.9558470339385*x98*x98 + 29.3664910214195*x99
     *x99 + 19.150561974833*x100*x100 + 28.1182743393074*x101*x101 + 
     39.0497965414683*x102*x102 + 30.8526405373756*x103*x103 + 37.9162092187562
     *x104*x104 + 35.972489960497*x105*x105 + 22.8808340120743*x106*x106 + 
     27.5853636816224*x107*x107 + 45.8116191808109*x108*x108 + 25.6506447280254
     *x109*x109 + 17.3307103279063*x110*x110 + 6.42143096728142*x111*x111 + 
     20.0951398777073*x112*x112 + 25.1143138698949*x113*x113 + 28.7449567619975
     *x114*x114 + 20.1377939791076*x115*x115 + 14.9970586744739*x116*x116 + 
     20.6030527503038*x117*x117 + 15.1818681307509*x118*x118 + 12.5064090876373
     *x119*x119 + 10.3999514165193*x120*x120 + 39.7838431308382*x121*x121 + 
     13.8869927034986*x122*x122 + 22.8461199269574*x123*x123 + 27.3601785440067
     *x124*x124 + 21.1821453218448*x125*x125 + 13.171400119456*x126*x126 + 
     5.26824846253116*x127*x127 + 12.6141649600847*x128*x128 + 28.632901257336*
     x129*x129 + 19.1033115748186*x130*x130 + 30.2933328008593*x131*x131 + 
     18.1290104864422*x132*x132 + 13.2561112379863*x133*x133 + 4.65638084962282
     *x134*x134 + 22.5919955180534*x135*x135 + 24.2362361298242*x136*x136 + 
     41.3697175788562*x137*x137 + 22.3642861445109*x138*x138 + 13.8871519995335
     *x139*x139 + 27.9779003581246*x140*x140 + 36.8456362998035*x141*x141 + 
     13.5885973852764*x142*x142 + 35.5621751531126*x143*x143 + 29.5106281783608
     *x144*x144 + 25.8800384494317*x145*x145 + 10.0956997189855*x146*x146 + 
     13.3327085566087*x147*x147 + 16.1526130062527*x148*x148 + 25.6331396246099
     *x149*x149 + 7.57646236487529*x150*x150 + 14.6612663683577*x151*x151 + 
     4.24866295839075*x152*x152 + 21.2648910502754*x153*x153 + 37.2641585193082
     *x154*x154 + 8.48856954478134*x155*x155 + 13.6759334611371*x156*x156 + 
     11.7625743826901*x157*x157 + 28.880031412227*x158*x158 + 12.9524101954386*
     x159*x159 + 36.732528404677*x160*x160 + 30.1623111545154*x161*x161 + 
     16.5051491661663*x162*x162 + 48.1430869906303*x163*x163 + 25.0135166335402
     *x164*x164 + 42.2896281877994*x165*x165 + 23.3547718162713*x166*x166 + 
     24.9931803060261*x167*x167 + 43.4882699648209*x168*x168 + 41.7340705380843
     *x169*x169 + 33.6950861947128*x170*x170 + 19.7037715609977*x171*x171 + 
     43.726908364334*x172*x172 + 50.1174410512644*x173*x173 + 9.47893403275559*
     x174*x174 + 15.7236672520494*x175*x175 + 33.9484056452419*x176*x176 + 
     33.8880778573357*x177*x177 + 44.2719326432059*x178*x178 + 12.1684116677416
     *x179*x179 + 26.0467168835431*x180*x180 + 42.1354136669581*x181*x181 + 
     21.2483495255647*x182*x182 + 33.370444458487*x183*x183 + 41.1190113682979*
     x184*x184 + 24.8386204200289*x185*x185 + 20.6320783268308*x186*x186 + 
     7.01529154326273*x187*x187 + 29.5414539159021*x188*x188 + 38.1756318711238
     *x189*x189 + 8.58104823499548*x190*x190 + 7.69711583001143*x191*x191 + 
     42.4371248163469*x192*x192 + 4.59409541976021*x193*x193 + 28.1235883297576
     *x194*x194 + 47.6916842358554*x195*x195 + 27.1839166296889*x196*x196 + 
     34.3442197234332*x197*x197 + 41.449320254595*x198*x198 + 19.0074548015991*
     x199*x199 + 30.5239256850067*x200*x200 + 21.6034519208861*x201*x201 + 
     15.0364791559573*x202*x202 + 10.9122403828508*x203*x203 + 26.5498628209752
     *x204*x204 + 2.85517352456554*x205*x205 + 14.3944475974119*x206*x206 + 
     17.8303957927801*x207*x207 + 18.8507158873978*x208*x208 + 17.8500424336862
     *x209*x209 + 29.662423104137*x210*x210 + 28.5445975843512*x211*x211 + 
     16.9256148790629*x212*x212 + 40.3065698346231*x213*x213 + 15.0916313984205
     *x214*x214 + 45.1764582705759*x215*x215 + 19.4831745475101*x216*x216 + 
     29.3725674554356*x217*x217 + 44.731112827661*x218*x218 + 42.5239940840714*
     x219*x219 + 34.7422328142325*x220*x220 + 9.56259782677507*x221*x221 + 
     44.5183379515596*x222*x222 + 43.1496210295644*x223*x223 + 13.4063833026897
     *x224*x224 + 17.3538516477183*x225*x225 + 28.0201386197756*x226*x226 + 
     33.2510480473979*x227*x227 + 39.1950454740892*x228*x228 + 19.0749534705101
     *x229*x229 + 29.906167363235*x230*x230 + 32.6505026879169*x231*x231 + 
     16.4969329551662*x232*x232 + 35.3141598922056*x233*x233 + 39.0252650952467
     *x234*x234 + 29.938751063908*x235*x235 + 26.2431654020124*x236*x236 + 
     17.6402775915806*x237*x237 + 21.1630857812134*x238*x238 + 32.0599203901578
     *x239*x239 + 11.5212775085687*x240*x240 + 4.08359203762451*x241*x241 + 
     36.7723808801052*x242*x242 + 14.8331100451586*x243*x243 + 18.0680240767646
     *x244*x244 + 39.6231855790722*x245*x245 + 24.2940900497125*x246*x246 + 
     36.2696520369664*x247*x247 + 34.9806914576888*x248*x248 + 10.7781714676847
     *x249*x249 + 27.1927719936449*x250*x250 + 39.2235284102308*x251*x251 + 
     46.81871185907*x252*x252 + 29.7554930096906*x253*x253 + 29.8593540779954*
     x254*x254 + 39.8469146973509*x255*x255 + 30.8766835617017*x256*x256 + 
     37.5112051189399*x257*x257 + 42.5777572849887*x258*x258 + 35.5929248730112
     *x259*x259 + 8.75036836178061*x260*x260 + 18.3306632685796*x261*x261 + 
     28.8006399800856*x262*x262 + 10.4104638844038*x263*x263 + 25.9946415925091
     *x264*x264 + 34.5829351714139*x265*x265 + 20.2281004690202*x266*x266 + 
     34.2013260693052*x267*x267 + 28.7669136159159*x268*x268 + 26.3010972908322
     *x269*x269 + 25.2740230311798*x270*x270 + 39.3978078399888*x271*x271 + 
     27.1220636854672*x272*x272 + 8.14765975567047*x273*x273 + 35.6206832261575
     *x274*x274 + 30.470898602416*x275*x275 + 9.51795565513467*x276*x276 + 
     20.0177187196987*x277*x277 + 3.87298729099393*x278*x278 + 38.9289895779823
     *x279*x279 + 32.8891639309257*x280*x280 + 18.8450066441327*x281*x281 + 
     22.1338366297348*x282*x282 + 28.1197040918976*x283*x283 + 15.2264081770499
     *x284*x284 + 36.2111917393707*x285*x285 + 36.8746985831279*x286*x286 + 
     49.5023743566618*x287*x287 + 18.006698113536*x288*x288 + 5.41098116939701*
     x289*x289 + 35.4825636675857*x290*x290 + 40.9816938000357*x291*x291 + 
     1.34474551367002*x292*x292 + 43.8705427790599*x293*x293 + 25.1002650124917
     *x294*x294 + 11.3941518471258*x295*x295 + 17.7973227487902*x296*x296 + 
     28.2407666812435*x297*x297 + 3.30733460518593*x298*x298 + 26.7892427381251
     *x299*x299 + 14.7163802750569*x300*x300 + 12.9638935112588*x301*x301 + 
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     x814*x814 + 49.9514830848265*x815*x815 + 20.4002217670674*x816*x816 + 
     38.3152330153094*x817*x817 + 47.1169282218592*x818*x818 + 44.4915808158004
     *x819*x819 + 38.2854643535505*x820*x820 + 12.9616997841136*x821*x821 + 
     46.2411848262088*x822*x822 + 31.5724543253661*x823*x823 + 26.5845692817184
     *x824*x824 + 26.7033277511637*x825*x825 + 21.2505176866182*x826*x826 + 
     34.5644242719019*x827*x827 + 31.7347277137485*x828*x828 + 32.6281506857764
     *x829*x829 + 38.1196376660254*x830*x830 + 16.8299848213484*x831*x831 + 
     17.8563345395589*x832*x832 + 40.0393430808529*x833*x833 + 36.9079892203375
     *x834*x834 + 39.6421777109876*x835*x835 + 37.1522302598417*x836*x836 + 
     34.8990794358951*x837*x837 + 11.1113530100761*x838*x838 + 23.8371817706625
     *x839*x839 + 25.0003377974751*x840*x840 + 21.3362243776233*x841*x841 + 
     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: 2022-05-24 Git hash: 1198c186
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