MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance squfl015-060
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ⓘ | -567.45706400 (ALPHAECP) 366.61235570 (ANTIGONE) 366.62181640 (BARON) 366.62181630 (BONMIN) 366.62158400 (COUENNE) 366.62181670 (CPLEX) 366.62181670 (GUROBI) 366.62181670 (LINDO) 366.62181420 (SCIP) 366.62181670 (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ⓘ | 915 |
| #Binary Variablesⓘ | 15 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 900 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 915 |
| #Nonlinear Nonzeros in Objectiveⓘ | 900 |
| #Constraintsⓘ | 960 |
| #Linear Constraintsⓘ | 960 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 2700 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 900 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 900 |
| #Blocks in Hessian of Lagrangianⓘ | 900 |
| 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ⓘ | 1.5944e-01 |
| Maximal coefficientⓘ | 9.7000e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 961 61 0 900 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 916 901 15 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 3616 2716 900 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,b901,b902,b903,b904,b905,b906,b907,b908,b909
,b910,b911,b912,b913,b914,b915,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;
Binary Variables b901,b902,b903,b904,b905,b906,b907,b908,b909,b910,b911,b912
,b913,b914,b915;
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
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*x899*x899 + 9.49610562245181*x900*x900) - 66*b901 - 48*b902 - b903
- 94*b904 - 33*b905 - 85*b906 - 60*b907 - 3*b908 - 81*b909 - 67*b910
- 91*b911 - 97*b912 - 78*b913 - 51*b914 - 97*b915 + objvar =E= 0;
e2.. x1 - b901 =L= 0;
e3.. x2 - b901 =L= 0;
e4.. x3 - b901 =L= 0;
e5.. x4 - b901 =L= 0;
e6.. x5 - b901 =L= 0;
e7.. x6 - b901 =L= 0;
e8.. x7 - b901 =L= 0;
e9.. x8 - b901 =L= 0;
e10.. x9 - b901 =L= 0;
e11.. x10 - b901 =L= 0;
e12.. x11 - b901 =L= 0;
e13.. x12 - b901 =L= 0;
e14.. x13 - b901 =L= 0;
e15.. x14 - b901 =L= 0;
e16.. x15 - b901 =L= 0;
e17.. x16 - b901 =L= 0;
e18.. x17 - b901 =L= 0;
e19.. x18 - b901 =L= 0;
e20.. x19 - b901 =L= 0;
e21.. x20 - b901 =L= 0;
e22.. x21 - b901 =L= 0;
e23.. x22 - b901 =L= 0;
e24.. x23 - b901 =L= 0;
e25.. x24 - b901 =L= 0;
e26.. x25 - b901 =L= 0;
e27.. x26 - b901 =L= 0;
e28.. x27 - b901 =L= 0;
e29.. x28 - b901 =L= 0;
e30.. x29 - b901 =L= 0;
e31.. x30 - b901 =L= 0;
e32.. x31 - b901 =L= 0;
e33.. x32 - b901 =L= 0;
e34.. x33 - b901 =L= 0;
e35.. x34 - b901 =L= 0;
e36.. x35 - b901 =L= 0;
e37.. x36 - b901 =L= 0;
e38.. x37 - b901 =L= 0;
e39.. x38 - b901 =L= 0;
e40.. x39 - b901 =L= 0;
e41.. x40 - b901 =L= 0;
e42.. x41 - b901 =L= 0;
e43.. x42 - b901 =L= 0;
e44.. x43 - b901 =L= 0;
e45.. x44 - b901 =L= 0;
e46.. x45 - b901 =L= 0;
e47.. x46 - b901 =L= 0;
e48.. x47 - b901 =L= 0;
e49.. x48 - b901 =L= 0;
e50.. x49 - b901 =L= 0;
e51.. x50 - b901 =L= 0;
e52.. x51 - b901 =L= 0;
e53.. x52 - b901 =L= 0;
e54.. x53 - b901 =L= 0;
e55.. x54 - b901 =L= 0;
e56.. x55 - b901 =L= 0;
e57.. x56 - b901 =L= 0;
e58.. x57 - b901 =L= 0;
e59.. x58 - b901 =L= 0;
e60.. x59 - b901 =L= 0;
e61.. x60 - b901 =L= 0;
e62.. x61 - b902 =L= 0;
e63.. x62 - b902 =L= 0;
e64.. x63 - b902 =L= 0;
e65.. x64 - b902 =L= 0;
e66.. x65 - b902 =L= 0;
e67.. x66 - b902 =L= 0;
e68.. x67 - b902 =L= 0;
e69.. x68 - b902 =L= 0;
e70.. x69 - b902 =L= 0;
e71.. x70 - b902 =L= 0;
e72.. x71 - b902 =L= 0;
e73.. x72 - b902 =L= 0;
e74.. x73 - b902 =L= 0;
e75.. x74 - b902 =L= 0;
e76.. x75 - b902 =L= 0;
e77.. x76 - b902 =L= 0;
e78.. x77 - b902 =L= 0;
e79.. x78 - b902 =L= 0;
e80.. x79 - b902 =L= 0;
e81.. x80 - b902 =L= 0;
e82.. x81 - b902 =L= 0;
e83.. x82 - b902 =L= 0;
e84.. x83 - b902 =L= 0;
e85.. x84 - b902 =L= 0;
e86.. x85 - b902 =L= 0;
e87.. x86 - b902 =L= 0;
e88.. x87 - b902 =L= 0;
e89.. x88 - b902 =L= 0;
e90.. x89 - b902 =L= 0;
e91.. x90 - b902 =L= 0;
e92.. x91 - b902 =L= 0;
e93.. x92 - b902 =L= 0;
e94.. x93 - b902 =L= 0;
e95.. x94 - b902 =L= 0;
e96.. x95 - b902 =L= 0;
e97.. x96 - b902 =L= 0;
e98.. x97 - b902 =L= 0;
e99.. x98 - b902 =L= 0;
e100.. x99 - b902 =L= 0;
e101.. x100 - b902 =L= 0;
e102.. x101 - b902 =L= 0;
e103.. x102 - b902 =L= 0;
e104.. x103 - b902 =L= 0;
e105.. x104 - b902 =L= 0;
e106.. x105 - b902 =L= 0;
e107.. x106 - b902 =L= 0;
e108.. x107 - b902 =L= 0;
e109.. x108 - b902 =L= 0;
e110.. x109 - b902 =L= 0;
e111.. x110 - b902 =L= 0;
e112.. x111 - b902 =L= 0;
e113.. x112 - b902 =L= 0;
e114.. x113 - b902 =L= 0;
e115.. x114 - b902 =L= 0;
e116.. x115 - b902 =L= 0;
e117.. x116 - b902 =L= 0;
e118.. x117 - b902 =L= 0;
e119.. x118 - b902 =L= 0;
e120.. x119 - b902 =L= 0;
e121.. x120 - b902 =L= 0;
e122.. x121 - b903 =L= 0;
e123.. x122 - b903 =L= 0;
e124.. x123 - b903 =L= 0;
e125.. x124 - b903 =L= 0;
e126.. x125 - b903 =L= 0;
e127.. x126 - b903 =L= 0;
e128.. x127 - b903 =L= 0;
e129.. x128 - b903 =L= 0;
e130.. x129 - b903 =L= 0;
e131.. x130 - b903 =L= 0;
e132.. x131 - b903 =L= 0;
e133.. x132 - b903 =L= 0;
e134.. x133 - b903 =L= 0;
e135.. x134 - b903 =L= 0;
e136.. x135 - b903 =L= 0;
e137.. x136 - b903 =L= 0;
e138.. x137 - b903 =L= 0;
e139.. x138 - b903 =L= 0;
e140.. x139 - b903 =L= 0;
e141.. x140 - b903 =L= 0;
e142.. x141 - b903 =L= 0;
e143.. x142 - b903 =L= 0;
e144.. x143 - b903 =L= 0;
e145.. x144 - b903 =L= 0;
e146.. x145 - b903 =L= 0;
e147.. x146 - b903 =L= 0;
e148.. x147 - b903 =L= 0;
e149.. x148 - b903 =L= 0;
e150.. x149 - b903 =L= 0;
e151.. x150 - b903 =L= 0;
e152.. x151 - b903 =L= 0;
e153.. x152 - b903 =L= 0;
e154.. x153 - b903 =L= 0;
e155.. x154 - b903 =L= 0;
e156.. x155 - b903 =L= 0;
e157.. x156 - b903 =L= 0;
e158.. x157 - b903 =L= 0;
e159.. x158 - b903 =L= 0;
e160.. x159 - b903 =L= 0;
e161.. x160 - b903 =L= 0;
e162.. x161 - b903 =L= 0;
e163.. x162 - b903 =L= 0;
e164.. x163 - b903 =L= 0;
e165.. x164 - b903 =L= 0;
e166.. x165 - b903 =L= 0;
e167.. x166 - b903 =L= 0;
e168.. x167 - b903 =L= 0;
e169.. x168 - b903 =L= 0;
e170.. x169 - b903 =L= 0;
e171.. x170 - b903 =L= 0;
e172.. x171 - b903 =L= 0;
e173.. x172 - b903 =L= 0;
e174.. x173 - b903 =L= 0;
e175.. x174 - b903 =L= 0;
e176.. x175 - b903 =L= 0;
e177.. x176 - b903 =L= 0;
e178.. x177 - b903 =L= 0;
e179.. x178 - b903 =L= 0;
e180.. x179 - b903 =L= 0;
e181.. x180 - b903 =L= 0;
e182.. x181 - b904 =L= 0;
e183.. x182 - b904 =L= 0;
e184.. x183 - b904 =L= 0;
e185.. x184 - b904 =L= 0;
e186.. x185 - b904 =L= 0;
e187.. x186 - b904 =L= 0;
e188.. x187 - b904 =L= 0;
e189.. x188 - b904 =L= 0;
e190.. x189 - b904 =L= 0;
e191.. x190 - b904 =L= 0;
e192.. x191 - b904 =L= 0;
e193.. x192 - b904 =L= 0;
e194.. x193 - b904 =L= 0;
e195.. x194 - b904 =L= 0;
e196.. x195 - b904 =L= 0;
e197.. x196 - b904 =L= 0;
e198.. x197 - b904 =L= 0;
e199.. x198 - b904 =L= 0;
e200.. x199 - b904 =L= 0;
e201.. x200 - b904 =L= 0;
e202.. x201 - b904 =L= 0;
e203.. x202 - b904 =L= 0;
e204.. x203 - b904 =L= 0;
e205.. x204 - b904 =L= 0;
e206.. x205 - b904 =L= 0;
e207.. x206 - b904 =L= 0;
e208.. x207 - b904 =L= 0;
e209.. x208 - b904 =L= 0;
e210.. x209 - b904 =L= 0;
e211.. x210 - b904 =L= 0;
e212.. x211 - b904 =L= 0;
e213.. x212 - b904 =L= 0;
e214.. x213 - b904 =L= 0;
e215.. x214 - b904 =L= 0;
e216.. x215 - b904 =L= 0;
e217.. x216 - b904 =L= 0;
e218.. x217 - b904 =L= 0;
e219.. x218 - b904 =L= 0;
e220.. x219 - b904 =L= 0;
e221.. x220 - b904 =L= 0;
e222.. x221 - b904 =L= 0;
e223.. x222 - b904 =L= 0;
e224.. x223 - b904 =L= 0;
e225.. x224 - b904 =L= 0;
e226.. x225 - b904 =L= 0;
e227.. x226 - b904 =L= 0;
e228.. x227 - b904 =L= 0;
e229.. x228 - b904 =L= 0;
e230.. x229 - b904 =L= 0;
e231.. x230 - b904 =L= 0;
e232.. x231 - b904 =L= 0;
e233.. x232 - b904 =L= 0;
e234.. x233 - b904 =L= 0;
e235.. x234 - b904 =L= 0;
e236.. x235 - b904 =L= 0;
e237.. x236 - b904 =L= 0;
e238.. x237 - b904 =L= 0;
e239.. x238 - b904 =L= 0;
e240.. x239 - b904 =L= 0;
e241.. x240 - b904 =L= 0;
e242.. x241 - b905 =L= 0;
e243.. x242 - b905 =L= 0;
e244.. x243 - b905 =L= 0;
e245.. x244 - b905 =L= 0;
e246.. x245 - b905 =L= 0;
e247.. x246 - b905 =L= 0;
e248.. x247 - b905 =L= 0;
e249.. x248 - b905 =L= 0;
e250.. x249 - b905 =L= 0;
e251.. x250 - b905 =L= 0;
e252.. x251 - b905 =L= 0;
e253.. x252 - b905 =L= 0;
e254.. x253 - b905 =L= 0;
e255.. x254 - b905 =L= 0;
e256.. x255 - b905 =L= 0;
e257.. x256 - b905 =L= 0;
e258.. x257 - b905 =L= 0;
e259.. x258 - b905 =L= 0;
e260.. x259 - b905 =L= 0;
e261.. x260 - b905 =L= 0;
e262.. x261 - b905 =L= 0;
e263.. x262 - b905 =L= 0;
e264.. x263 - b905 =L= 0;
e265.. x264 - b905 =L= 0;
e266.. x265 - b905 =L= 0;
e267.. x266 - b905 =L= 0;
e268.. x267 - b905 =L= 0;
e269.. x268 - b905 =L= 0;
e270.. x269 - b905 =L= 0;
e271.. x270 - b905 =L= 0;
e272.. x271 - b905 =L= 0;
e273.. x272 - b905 =L= 0;
e274.. x273 - b905 =L= 0;
e275.. x274 - b905 =L= 0;
e276.. x275 - b905 =L= 0;
e277.. x276 - b905 =L= 0;
e278.. x277 - b905 =L= 0;
e279.. x278 - b905 =L= 0;
e280.. x279 - b905 =L= 0;
e281.. x280 - b905 =L= 0;
e282.. x281 - b905 =L= 0;
e283.. x282 - b905 =L= 0;
e284.. x283 - b905 =L= 0;
e285.. x284 - b905 =L= 0;
e286.. x285 - b905 =L= 0;
e287.. x286 - b905 =L= 0;
e288.. x287 - b905 =L= 0;
e289.. x288 - b905 =L= 0;
e290.. x289 - b905 =L= 0;
e291.. x290 - b905 =L= 0;
e292.. x291 - b905 =L= 0;
e293.. x292 - b905 =L= 0;
e294.. x293 - b905 =L= 0;
e295.. x294 - b905 =L= 0;
e296.. x295 - b905 =L= 0;
e297.. x296 - b905 =L= 0;
e298.. x297 - b905 =L= 0;
e299.. x298 - b905 =L= 0;
e300.. x299 - b905 =L= 0;
e301.. x300 - b905 =L= 0;
e302.. x301 - b906 =L= 0;
e303.. x302 - b906 =L= 0;
e304.. x303 - b906 =L= 0;
e305.. x304 - b906 =L= 0;
e306.. x305 - b906 =L= 0;
e307.. x306 - b906 =L= 0;
e308.. x307 - b906 =L= 0;
e309.. x308 - b906 =L= 0;
e310.. x309 - b906 =L= 0;
e311.. x310 - b906 =L= 0;
e312.. x311 - b906 =L= 0;
e313.. x312 - b906 =L= 0;
e314.. x313 - b906 =L= 0;
e315.. x314 - b906 =L= 0;
e316.. x315 - b906 =L= 0;
e317.. x316 - b906 =L= 0;
e318.. x317 - b906 =L= 0;
e319.. x318 - b906 =L= 0;
e320.. x319 - b906 =L= 0;
e321.. x320 - b906 =L= 0;
e322.. x321 - b906 =L= 0;
e323.. x322 - b906 =L= 0;
e324.. x323 - b906 =L= 0;
e325.. x324 - b906 =L= 0;
e326.. x325 - b906 =L= 0;
e327.. x326 - b906 =L= 0;
e328.. x327 - b906 =L= 0;
e329.. x328 - b906 =L= 0;
e330.. x329 - b906 =L= 0;
e331.. x330 - b906 =L= 0;
e332.. x331 - b906 =L= 0;
e333.. x332 - b906 =L= 0;
e334.. x333 - b906 =L= 0;
e335.. x334 - b906 =L= 0;
e336.. x335 - b906 =L= 0;
e337.. x336 - b906 =L= 0;
e338.. x337 - b906 =L= 0;
e339.. x338 - b906 =L= 0;
e340.. x339 - b906 =L= 0;
e341.. x340 - b906 =L= 0;
e342.. x341 - b906 =L= 0;
e343.. x342 - b906 =L= 0;
e344.. x343 - b906 =L= 0;
e345.. x344 - b906 =L= 0;
e346.. x345 - b906 =L= 0;
e347.. x346 - b906 =L= 0;
e348.. x347 - b906 =L= 0;
e349.. x348 - b906 =L= 0;
e350.. x349 - b906 =L= 0;
e351.. x350 - b906 =L= 0;
e352.. x351 - b906 =L= 0;
e353.. x352 - b906 =L= 0;
e354.. x353 - b906 =L= 0;
e355.. x354 - b906 =L= 0;
e356.. x355 - b906 =L= 0;
e357.. x356 - b906 =L= 0;
e358.. x357 - b906 =L= 0;
e359.. x358 - b906 =L= 0;
e360.. x359 - b906 =L= 0;
e361.. x360 - b906 =L= 0;
e362.. x361 - b907 =L= 0;
e363.. x362 - b907 =L= 0;
e364.. x363 - b907 =L= 0;
e365.. x364 - b907 =L= 0;
e366.. x365 - b907 =L= 0;
e367.. x366 - b907 =L= 0;
e368.. x367 - b907 =L= 0;
e369.. x368 - b907 =L= 0;
e370.. x369 - b907 =L= 0;
e371.. x370 - b907 =L= 0;
e372.. x371 - b907 =L= 0;
e373.. x372 - b907 =L= 0;
e374.. x373 - b907 =L= 0;
e375.. x374 - b907 =L= 0;
e376.. x375 - b907 =L= 0;
e377.. x376 - b907 =L= 0;
e378.. x377 - b907 =L= 0;
e379.. x378 - b907 =L= 0;
e380.. x379 - b907 =L= 0;
e381.. x380 - b907 =L= 0;
e382.. x381 - b907 =L= 0;
e383.. x382 - b907 =L= 0;
e384.. x383 - b907 =L= 0;
e385.. x384 - b907 =L= 0;
e386.. x385 - b907 =L= 0;
e387.. x386 - b907 =L= 0;
e388.. x387 - b907 =L= 0;
e389.. x388 - b907 =L= 0;
e390.. x389 - b907 =L= 0;
e391.. x390 - b907 =L= 0;
e392.. x391 - b907 =L= 0;
e393.. x392 - b907 =L= 0;
e394.. x393 - b907 =L= 0;
e395.. x394 - b907 =L= 0;
e396.. x395 - b907 =L= 0;
e397.. x396 - b907 =L= 0;
e398.. x397 - b907 =L= 0;
e399.. x398 - b907 =L= 0;
e400.. x399 - b907 =L= 0;
e401.. x400 - b907 =L= 0;
e402.. x401 - b907 =L= 0;
e403.. x402 - b907 =L= 0;
e404.. x403 - b907 =L= 0;
e405.. x404 - b907 =L= 0;
e406.. x405 - b907 =L= 0;
e407.. x406 - b907 =L= 0;
e408.. x407 - b907 =L= 0;
e409.. x408 - b907 =L= 0;
e410.. x409 - b907 =L= 0;
e411.. x410 - b907 =L= 0;
e412.. x411 - b907 =L= 0;
e413.. x412 - b907 =L= 0;
e414.. x413 - b907 =L= 0;
e415.. x414 - b907 =L= 0;
e416.. x415 - b907 =L= 0;
e417.. x416 - b907 =L= 0;
e418.. x417 - b907 =L= 0;
e419.. x418 - b907 =L= 0;
e420.. x419 - b907 =L= 0;
e421.. x420 - b907 =L= 0;
e422.. x421 - b908 =L= 0;
e423.. x422 - b908 =L= 0;
e424.. x423 - b908 =L= 0;
e425.. x424 - b908 =L= 0;
e426.. x425 - b908 =L= 0;
e427.. x426 - b908 =L= 0;
e428.. x427 - b908 =L= 0;
e429.. x428 - b908 =L= 0;
e430.. x429 - b908 =L= 0;
e431.. x430 - b908 =L= 0;
e432.. x431 - b908 =L= 0;
e433.. x432 - b908 =L= 0;
e434.. x433 - b908 =L= 0;
e435.. x434 - b908 =L= 0;
e436.. x435 - b908 =L= 0;
e437.. x436 - b908 =L= 0;
e438.. x437 - b908 =L= 0;
e439.. x438 - b908 =L= 0;
e440.. x439 - b908 =L= 0;
e441.. x440 - b908 =L= 0;
e442.. x441 - b908 =L= 0;
e443.. x442 - b908 =L= 0;
e444.. x443 - b908 =L= 0;
e445.. x444 - b908 =L= 0;
e446.. x445 - b908 =L= 0;
e447.. x446 - b908 =L= 0;
e448.. x447 - b908 =L= 0;
e449.. x448 - b908 =L= 0;
e450.. x449 - b908 =L= 0;
e451.. x450 - b908 =L= 0;
e452.. x451 - b908 =L= 0;
e453.. x452 - b908 =L= 0;
e454.. x453 - b908 =L= 0;
e455.. x454 - b908 =L= 0;
e456.. x455 - b908 =L= 0;
e457.. x456 - b908 =L= 0;
e458.. x457 - b908 =L= 0;
e459.. x458 - b908 =L= 0;
e460.. x459 - b908 =L= 0;
e461.. x460 - b908 =L= 0;
e462.. x461 - b908 =L= 0;
e463.. x462 - b908 =L= 0;
e464.. x463 - b908 =L= 0;
e465.. x464 - b908 =L= 0;
e466.. x465 - b908 =L= 0;
e467.. x466 - b908 =L= 0;
e468.. x467 - b908 =L= 0;
e469.. x468 - b908 =L= 0;
e470.. x469 - b908 =L= 0;
e471.. x470 - b908 =L= 0;
e472.. x471 - b908 =L= 0;
e473.. x472 - b908 =L= 0;
e474.. x473 - b908 =L= 0;
e475.. x474 - b908 =L= 0;
e476.. x475 - b908 =L= 0;
e477.. x476 - b908 =L= 0;
e478.. x477 - b908 =L= 0;
e479.. x478 - b908 =L= 0;
e480.. x479 - b908 =L= 0;
e481.. x480 - b908 =L= 0;
e482.. x481 - b909 =L= 0;
e483.. x482 - b909 =L= 0;
e484.. x483 - b909 =L= 0;
e485.. x484 - b909 =L= 0;
e486.. x485 - b909 =L= 0;
e487.. x486 - b909 =L= 0;
e488.. x487 - b909 =L= 0;
e489.. x488 - b909 =L= 0;
e490.. x489 - b909 =L= 0;
e491.. x490 - b909 =L= 0;
e492.. x491 - b909 =L= 0;
e493.. x492 - b909 =L= 0;
e494.. x493 - b909 =L= 0;
e495.. x494 - b909 =L= 0;
e496.. x495 - b909 =L= 0;
e497.. x496 - b909 =L= 0;
e498.. x497 - b909 =L= 0;
e499.. x498 - b909 =L= 0;
e500.. x499 - b909 =L= 0;
e501.. x500 - b909 =L= 0;
e502.. x501 - b909 =L= 0;
e503.. x502 - b909 =L= 0;
e504.. x503 - b909 =L= 0;
e505.. x504 - b909 =L= 0;
e506.. x505 - b909 =L= 0;
e507.. x506 - b909 =L= 0;
e508.. x507 - b909 =L= 0;
e509.. x508 - b909 =L= 0;
e510.. x509 - b909 =L= 0;
e511.. x510 - b909 =L= 0;
e512.. x511 - b909 =L= 0;
e513.. x512 - b909 =L= 0;
e514.. x513 - b909 =L= 0;
e515.. x514 - b909 =L= 0;
e516.. x515 - b909 =L= 0;
e517.. x516 - b909 =L= 0;
e518.. x517 - b909 =L= 0;
e519.. x518 - b909 =L= 0;
e520.. x519 - b909 =L= 0;
e521.. x520 - b909 =L= 0;
e522.. x521 - b909 =L= 0;
e523.. x522 - b909 =L= 0;
e524.. x523 - b909 =L= 0;
e525.. x524 - b909 =L= 0;
e526.. x525 - b909 =L= 0;
e527.. x526 - b909 =L= 0;
e528.. x527 - b909 =L= 0;
e529.. x528 - b909 =L= 0;
e530.. x529 - b909 =L= 0;
e531.. x530 - b909 =L= 0;
e532.. x531 - b909 =L= 0;
e533.. x532 - b909 =L= 0;
e534.. x533 - b909 =L= 0;
e535.. x534 - b909 =L= 0;
e536.. x535 - b909 =L= 0;
e537.. x536 - b909 =L= 0;
e538.. x537 - b909 =L= 0;
e539.. x538 - b909 =L= 0;
e540.. x539 - b909 =L= 0;
e541.. x540 - b909 =L= 0;
e542.. x541 - b910 =L= 0;
e543.. x542 - b910 =L= 0;
e544.. x543 - b910 =L= 0;
e545.. x544 - b910 =L= 0;
e546.. x545 - b910 =L= 0;
e547.. x546 - b910 =L= 0;
e548.. x547 - b910 =L= 0;
e549.. x548 - b910 =L= 0;
e550.. x549 - b910 =L= 0;
e551.. x550 - b910 =L= 0;
e552.. x551 - b910 =L= 0;
e553.. x552 - b910 =L= 0;
e554.. x553 - b910 =L= 0;
e555.. x554 - b910 =L= 0;
e556.. x555 - b910 =L= 0;
e557.. x556 - b910 =L= 0;
e558.. x557 - b910 =L= 0;
e559.. x558 - b910 =L= 0;
e560.. x559 - b910 =L= 0;
e561.. x560 - b910 =L= 0;
e562.. x561 - b910 =L= 0;
e563.. x562 - b910 =L= 0;
e564.. x563 - b910 =L= 0;
e565.. x564 - b910 =L= 0;
e566.. x565 - b910 =L= 0;
e567.. x566 - b910 =L= 0;
e568.. x567 - b910 =L= 0;
e569.. x568 - b910 =L= 0;
e570.. x569 - b910 =L= 0;
e571.. x570 - b910 =L= 0;
e572.. x571 - b910 =L= 0;
e573.. x572 - b910 =L= 0;
e574.. x573 - b910 =L= 0;
e575.. x574 - b910 =L= 0;
e576.. x575 - b910 =L= 0;
e577.. x576 - b910 =L= 0;
e578.. x577 - b910 =L= 0;
e579.. x578 - b910 =L= 0;
e580.. x579 - b910 =L= 0;
e581.. x580 - b910 =L= 0;
e582.. x581 - b910 =L= 0;
e583.. x582 - b910 =L= 0;
e584.. x583 - b910 =L= 0;
e585.. x584 - b910 =L= 0;
e586.. x585 - b910 =L= 0;
e587.. x586 - b910 =L= 0;
e588.. x587 - b910 =L= 0;
e589.. x588 - b910 =L= 0;
e590.. x589 - b910 =L= 0;
e591.. x590 - b910 =L= 0;
e592.. x591 - b910 =L= 0;
e593.. x592 - b910 =L= 0;
e594.. x593 - b910 =L= 0;
e595.. x594 - b910 =L= 0;
e596.. x595 - b910 =L= 0;
e597.. x596 - b910 =L= 0;
e598.. x597 - b910 =L= 0;
e599.. x598 - b910 =L= 0;
e600.. x599 - b910 =L= 0;
e601.. x600 - b910 =L= 0;
e602.. x601 - b911 =L= 0;
e603.. x602 - b911 =L= 0;
e604.. x603 - b911 =L= 0;
e605.. x604 - b911 =L= 0;
e606.. x605 - b911 =L= 0;
e607.. x606 - b911 =L= 0;
e608.. x607 - b911 =L= 0;
e609.. x608 - b911 =L= 0;
e610.. x609 - b911 =L= 0;
e611.. x610 - b911 =L= 0;
e612.. x611 - b911 =L= 0;
e613.. x612 - b911 =L= 0;
e614.. x613 - b911 =L= 0;
e615.. x614 - b911 =L= 0;
e616.. x615 - b911 =L= 0;
e617.. x616 - b911 =L= 0;
e618.. x617 - b911 =L= 0;
e619.. x618 - b911 =L= 0;
e620.. x619 - b911 =L= 0;
e621.. x620 - b911 =L= 0;
e622.. x621 - b911 =L= 0;
e623.. x622 - b911 =L= 0;
e624.. x623 - b911 =L= 0;
e625.. x624 - b911 =L= 0;
e626.. x625 - b911 =L= 0;
e627.. x626 - b911 =L= 0;
e628.. x627 - b911 =L= 0;
e629.. x628 - b911 =L= 0;
e630.. x629 - b911 =L= 0;
e631.. x630 - b911 =L= 0;
e632.. x631 - b911 =L= 0;
e633.. x632 - b911 =L= 0;
e634.. x633 - b911 =L= 0;
e635.. x634 - b911 =L= 0;
e636.. x635 - b911 =L= 0;
e637.. x636 - b911 =L= 0;
e638.. x637 - b911 =L= 0;
e639.. x638 - b911 =L= 0;
e640.. x639 - b911 =L= 0;
e641.. x640 - b911 =L= 0;
e642.. x641 - b911 =L= 0;
e643.. x642 - b911 =L= 0;
e644.. x643 - b911 =L= 0;
e645.. x644 - b911 =L= 0;
e646.. x645 - b911 =L= 0;
e647.. x646 - b911 =L= 0;
e648.. x647 - b911 =L= 0;
e649.. x648 - b911 =L= 0;
e650.. x649 - b911 =L= 0;
e651.. x650 - b911 =L= 0;
e652.. x651 - b911 =L= 0;
e653.. x652 - b911 =L= 0;
e654.. x653 - b911 =L= 0;
e655.. x654 - b911 =L= 0;
e656.. x655 - b911 =L= 0;
e657.. x656 - b911 =L= 0;
e658.. x657 - b911 =L= 0;
e659.. x658 - b911 =L= 0;
e660.. x659 - b911 =L= 0;
e661.. x660 - b911 =L= 0;
e662.. x661 - b912 =L= 0;
e663.. x662 - b912 =L= 0;
e664.. x663 - b912 =L= 0;
e665.. x664 - b912 =L= 0;
e666.. x665 - b912 =L= 0;
e667.. x666 - b912 =L= 0;
e668.. x667 - b912 =L= 0;
e669.. x668 - b912 =L= 0;
e670.. x669 - b912 =L= 0;
e671.. x670 - b912 =L= 0;
e672.. x671 - b912 =L= 0;
e673.. x672 - b912 =L= 0;
e674.. x673 - b912 =L= 0;
e675.. x674 - b912 =L= 0;
e676.. x675 - b912 =L= 0;
e677.. x676 - b912 =L= 0;
e678.. x677 - b912 =L= 0;
e679.. x678 - b912 =L= 0;
e680.. x679 - b912 =L= 0;
e681.. x680 - b912 =L= 0;
e682.. x681 - b912 =L= 0;
e683.. x682 - b912 =L= 0;
e684.. x683 - b912 =L= 0;
e685.. x684 - b912 =L= 0;
e686.. x685 - b912 =L= 0;
e687.. x686 - b912 =L= 0;
e688.. x687 - b912 =L= 0;
e689.. x688 - b912 =L= 0;
e690.. x689 - b912 =L= 0;
e691.. x690 - b912 =L= 0;
e692.. x691 - b912 =L= 0;
e693.. x692 - b912 =L= 0;
e694.. x693 - b912 =L= 0;
e695.. x694 - b912 =L= 0;
e696.. x695 - b912 =L= 0;
e697.. x696 - b912 =L= 0;
e698.. x697 - b912 =L= 0;
e699.. x698 - b912 =L= 0;
e700.. x699 - b912 =L= 0;
e701.. x700 - b912 =L= 0;
e702.. x701 - b912 =L= 0;
e703.. x702 - b912 =L= 0;
e704.. x703 - b912 =L= 0;
e705.. x704 - b912 =L= 0;
e706.. x705 - b912 =L= 0;
e707.. x706 - b912 =L= 0;
e708.. x707 - b912 =L= 0;
e709.. x708 - b912 =L= 0;
e710.. x709 - b912 =L= 0;
e711.. x710 - b912 =L= 0;
e712.. x711 - b912 =L= 0;
e713.. x712 - b912 =L= 0;
e714.. x713 - b912 =L= 0;
e715.. x714 - b912 =L= 0;
e716.. x715 - b912 =L= 0;
e717.. x716 - b912 =L= 0;
e718.. x717 - b912 =L= 0;
e719.. x718 - b912 =L= 0;
e720.. x719 - b912 =L= 0;
e721.. x720 - b912 =L= 0;
e722.. x721 - b913 =L= 0;
e723.. x722 - b913 =L= 0;
e724.. x723 - b913 =L= 0;
e725.. x724 - b913 =L= 0;
e726.. x725 - b913 =L= 0;
e727.. x726 - b913 =L= 0;
e728.. x727 - b913 =L= 0;
e729.. x728 - b913 =L= 0;
e730.. x729 - b913 =L= 0;
e731.. x730 - b913 =L= 0;
e732.. x731 - b913 =L= 0;
e733.. x732 - b913 =L= 0;
e734.. x733 - b913 =L= 0;
e735.. x734 - b913 =L= 0;
e736.. x735 - b913 =L= 0;
e737.. x736 - b913 =L= 0;
e738.. x737 - b913 =L= 0;
e739.. x738 - b913 =L= 0;
e740.. x739 - b913 =L= 0;
e741.. x740 - b913 =L= 0;
e742.. x741 - b913 =L= 0;
e743.. x742 - b913 =L= 0;
e744.. x743 - b913 =L= 0;
e745.. x744 - b913 =L= 0;
e746.. x745 - b913 =L= 0;
e747.. x746 - b913 =L= 0;
e748.. x747 - b913 =L= 0;
e749.. x748 - b913 =L= 0;
e750.. x749 - b913 =L= 0;
e751.. x750 - b913 =L= 0;
e752.. x751 - b913 =L= 0;
e753.. x752 - b913 =L= 0;
e754.. x753 - b913 =L= 0;
e755.. x754 - b913 =L= 0;
e756.. x755 - b913 =L= 0;
e757.. x756 - b913 =L= 0;
e758.. x757 - b913 =L= 0;
e759.. x758 - b913 =L= 0;
e760.. x759 - b913 =L= 0;
e761.. x760 - b913 =L= 0;
e762.. x761 - b913 =L= 0;
e763.. x762 - b913 =L= 0;
e764.. x763 - b913 =L= 0;
e765.. x764 - b913 =L= 0;
e766.. x765 - b913 =L= 0;
e767.. x766 - b913 =L= 0;
e768.. x767 - b913 =L= 0;
e769.. x768 - b913 =L= 0;
e770.. x769 - b913 =L= 0;
e771.. x770 - b913 =L= 0;
e772.. x771 - b913 =L= 0;
e773.. x772 - b913 =L= 0;
e774.. x773 - b913 =L= 0;
e775.. x774 - b913 =L= 0;
e776.. x775 - b913 =L= 0;
e777.. x776 - b913 =L= 0;
e778.. x777 - b913 =L= 0;
e779.. x778 - b913 =L= 0;
e780.. x779 - b913 =L= 0;
e781.. x780 - b913 =L= 0;
e782.. x781 - b914 =L= 0;
e783.. x782 - b914 =L= 0;
e784.. x783 - b914 =L= 0;
e785.. x784 - b914 =L= 0;
e786.. x785 - b914 =L= 0;
e787.. x786 - b914 =L= 0;
e788.. x787 - b914 =L= 0;
e789.. x788 - b914 =L= 0;
e790.. x789 - b914 =L= 0;
e791.. x790 - b914 =L= 0;
e792.. x791 - b914 =L= 0;
e793.. x792 - b914 =L= 0;
e794.. x793 - b914 =L= 0;
e795.. x794 - b914 =L= 0;
e796.. x795 - b914 =L= 0;
e797.. x796 - b914 =L= 0;
e798.. x797 - b914 =L= 0;
e799.. x798 - b914 =L= 0;
e800.. x799 - b914 =L= 0;
e801.. x800 - b914 =L= 0;
e802.. x801 - b914 =L= 0;
e803.. x802 - b914 =L= 0;
e804.. x803 - b914 =L= 0;
e805.. x804 - b914 =L= 0;
e806.. x805 - b914 =L= 0;
e807.. x806 - b914 =L= 0;
e808.. x807 - b914 =L= 0;
e809.. x808 - b914 =L= 0;
e810.. x809 - b914 =L= 0;
e811.. x810 - b914 =L= 0;
e812.. x811 - b914 =L= 0;
e813.. x812 - b914 =L= 0;
e814.. x813 - b914 =L= 0;
e815.. x814 - b914 =L= 0;
e816.. x815 - b914 =L= 0;
e817.. x816 - b914 =L= 0;
e818.. x817 - b914 =L= 0;
e819.. x818 - b914 =L= 0;
e820.. x819 - b914 =L= 0;
e821.. x820 - b914 =L= 0;
e822.. x821 - b914 =L= 0;
e823.. x822 - b914 =L= 0;
e824.. x823 - b914 =L= 0;
e825.. x824 - b914 =L= 0;
e826.. x825 - b914 =L= 0;
e827.. x826 - b914 =L= 0;
e828.. x827 - b914 =L= 0;
e829.. x828 - b914 =L= 0;
e830.. x829 - b914 =L= 0;
e831.. x830 - b914 =L= 0;
e832.. x831 - b914 =L= 0;
e833.. x832 - b914 =L= 0;
e834.. x833 - b914 =L= 0;
e835.. x834 - b914 =L= 0;
e836.. x835 - b914 =L= 0;
e837.. x836 - b914 =L= 0;
e838.. x837 - b914 =L= 0;
e839.. x838 - b914 =L= 0;
e840.. x839 - b914 =L= 0;
e841.. x840 - b914 =L= 0;
e842.. x841 - b915 =L= 0;
e843.. x842 - b915 =L= 0;
e844.. x843 - b915 =L= 0;
e845.. x844 - b915 =L= 0;
e846.. x845 - b915 =L= 0;
e847.. x846 - b915 =L= 0;
e848.. x847 - b915 =L= 0;
e849.. x848 - b915 =L= 0;
e850.. x849 - b915 =L= 0;
e851.. x850 - b915 =L= 0;
e852.. x851 - b915 =L= 0;
e853.. x852 - b915 =L= 0;
e854.. x853 - b915 =L= 0;
e855.. x854 - b915 =L= 0;
e856.. x855 - b915 =L= 0;
e857.. x856 - b915 =L= 0;
e858.. x857 - b915 =L= 0;
e859.. x858 - b915 =L= 0;
e860.. x859 - b915 =L= 0;
e861.. x860 - b915 =L= 0;
e862.. x861 - b915 =L= 0;
e863.. x862 - b915 =L= 0;
e864.. x863 - b915 =L= 0;
e865.. x864 - b915 =L= 0;
e866.. x865 - b915 =L= 0;
e867.. x866 - b915 =L= 0;
e868.. x867 - b915 =L= 0;
e869.. x868 - b915 =L= 0;
e870.. x869 - b915 =L= 0;
e871.. x870 - b915 =L= 0;
e872.. x871 - b915 =L= 0;
e873.. x872 - b915 =L= 0;
e874.. x873 - b915 =L= 0;
e875.. x874 - b915 =L= 0;
e876.. x875 - b915 =L= 0;
e877.. x876 - b915 =L= 0;
e878.. x877 - b915 =L= 0;
e879.. x878 - b915 =L= 0;
e880.. x879 - b915 =L= 0;
e881.. x880 - b915 =L= 0;
e882.. x881 - b915 =L= 0;
e883.. x882 - b915 =L= 0;
e884.. x883 - b915 =L= 0;
e885.. x884 - b915 =L= 0;
e886.. x885 - b915 =L= 0;
e887.. x886 - b915 =L= 0;
e888.. x887 - b915 =L= 0;
e889.. x888 - b915 =L= 0;
e890.. x889 - b915 =L= 0;
e891.. x890 - b915 =L= 0;
e892.. x891 - b915 =L= 0;
e893.. x892 - b915 =L= 0;
e894.. x893 - b915 =L= 0;
e895.. x894 - b915 =L= 0;
e896.. x895 - b915 =L= 0;
e897.. x896 - b915 =L= 0;
e898.. x897 - b915 =L= 0;
e899.. x898 - b915 =L= 0;
e900.. x899 - b915 =L= 0;
e901.. x900 - b915 =L= 0;
e902.. x1 + x61 + x121 + x181 + x241 + x301 + x361 + x421 + x481 + x541
+ x601 + x661 + x721 + x781 + x841 =E= 1;
e903.. x2 + x62 + x122 + x182 + x242 + x302 + x362 + x422 + x482 + x542
+ x602 + x662 + x722 + x782 + x842 =E= 1;
e904.. x3 + x63 + x123 + x183 + x243 + x303 + x363 + x423 + x483 + x543
+ x603 + x663 + x723 + x783 + x843 =E= 1;
e905.. x4 + x64 + x124 + x184 + x244 + x304 + x364 + x424 + x484 + x544
+ x604 + x664 + x724 + x784 + x844 =E= 1;
e906.. x5 + x65 + x125 + x185 + x245 + x305 + x365 + x425 + x485 + x545
+ x605 + x665 + x725 + x785 + x845 =E= 1;
e907.. x6 + x66 + x126 + x186 + x246 + x306 + x366 + x426 + x486 + x546
+ x606 + x666 + x726 + x786 + x846 =E= 1;
e908.. x7 + x67 + x127 + x187 + x247 + x307 + x367 + x427 + x487 + x547
+ x607 + x667 + x727 + x787 + x847 =E= 1;
e909.. x8 + x68 + x128 + x188 + x248 + x308 + x368 + x428 + x488 + x548
+ x608 + x668 + x728 + x788 + x848 =E= 1;
e910.. x9 + x69 + x129 + x189 + x249 + x309 + x369 + x429 + x489 + x549
+ x609 + x669 + x729 + x789 + x849 =E= 1;
e911.. x10 + x70 + x130 + x190 + x250 + x310 + x370 + x430 + x490 + x550
+ x610 + x670 + x730 + x790 + x850 =E= 1;
e912.. x11 + x71 + x131 + x191 + x251 + x311 + x371 + x431 + x491 + x551
+ x611 + x671 + x731 + x791 + x851 =E= 1;
e913.. x12 + x72 + x132 + x192 + x252 + x312 + x372 + x432 + x492 + x552
+ x612 + x672 + x732 + x792 + x852 =E= 1;
e914.. x13 + x73 + x133 + x193 + x253 + x313 + x373 + x433 + x493 + x553
+ x613 + x673 + x733 + x793 + x853 =E= 1;
e915.. x14 + x74 + x134 + x194 + x254 + x314 + x374 + x434 + x494 + x554
+ x614 + x674 + x734 + x794 + x854 =E= 1;
e916.. x15 + x75 + x135 + x195 + x255 + x315 + x375 + x435 + x495 + x555
+ x615 + x675 + x735 + x795 + x855 =E= 1;
e917.. x16 + x76 + x136 + x196 + x256 + x316 + x376 + x436 + x496 + x556
+ x616 + x676 + x736 + x796 + x856 =E= 1;
e918.. x17 + x77 + x137 + x197 + x257 + x317 + x377 + x437 + x497 + x557
+ x617 + x677 + x737 + x797 + x857 =E= 1;
e919.. x18 + x78 + x138 + x198 + x258 + x318 + x378 + x438 + x498 + x558
+ x618 + x678 + x738 + x798 + x858 =E= 1;
e920.. x19 + x79 + x139 + x199 + x259 + x319 + x379 + x439 + x499 + x559
+ x619 + x679 + x739 + x799 + x859 =E= 1;
e921.. x20 + x80 + x140 + x200 + x260 + x320 + x380 + x440 + x500 + x560
+ x620 + x680 + x740 + x800 + x860 =E= 1;
e922.. x21 + x81 + x141 + x201 + x261 + x321 + x381 + x441 + x501 + x561
+ x621 + x681 + x741 + x801 + x861 =E= 1;
e923.. x22 + x82 + x142 + x202 + x262 + x322 + x382 + x442 + x502 + x562
+ x622 + x682 + x742 + x802 + x862 =E= 1;
e924.. x23 + x83 + x143 + x203 + x263 + x323 + x383 + x443 + x503 + x563
+ x623 + x683 + x743 + x803 + x863 =E= 1;
e925.. x24 + x84 + x144 + x204 + x264 + x324 + x384 + x444 + x504 + x564
+ x624 + x684 + x744 + x804 + x864 =E= 1;
e926.. x25 + x85 + x145 + x205 + x265 + x325 + x385 + x445 + x505 + x565
+ x625 + x685 + x745 + x805 + x865 =E= 1;
e927.. x26 + x86 + x146 + x206 + x266 + x326 + x386 + x446 + x506 + x566
+ x626 + x686 + x746 + x806 + x866 =E= 1;
e928.. x27 + x87 + x147 + x207 + x267 + x327 + x387 + x447 + x507 + x567
+ x627 + x687 + x747 + x807 + x867 =E= 1;
e929.. x28 + x88 + x148 + x208 + x268 + x328 + x388 + x448 + x508 + x568
+ x628 + x688 + x748 + x808 + x868 =E= 1;
e930.. x29 + x89 + x149 + x209 + x269 + x329 + x389 + x449 + x509 + x569
+ x629 + x689 + x749 + x809 + x869 =E= 1;
e931.. x30 + x90 + x150 + x210 + x270 + x330 + x390 + x450 + x510 + x570
+ x630 + x690 + x750 + x810 + x870 =E= 1;
e932.. x31 + x91 + x151 + x211 + x271 + x331 + x391 + x451 + x511 + x571
+ x631 + x691 + x751 + x811 + x871 =E= 1;
e933.. x32 + x92 + x152 + x212 + x272 + x332 + x392 + x452 + x512 + x572
+ x632 + x692 + x752 + x812 + x872 =E= 1;
e934.. x33 + x93 + x153 + x213 + x273 + x333 + x393 + x453 + x513 + x573
+ x633 + x693 + x753 + x813 + x873 =E= 1;
e935.. x34 + x94 + x154 + x214 + x274 + x334 + x394 + x454 + x514 + x574
+ x634 + x694 + x754 + x814 + x874 =E= 1;
e936.. x35 + x95 + x155 + x215 + x275 + x335 + x395 + x455 + x515 + x575
+ x635 + x695 + x755 + x815 + x875 =E= 1;
e937.. x36 + x96 + x156 + x216 + x276 + x336 + x396 + x456 + x516 + x576
+ x636 + x696 + x756 + x816 + x876 =E= 1;
e938.. x37 + x97 + x157 + x217 + x277 + x337 + x397 + x457 + x517 + x577
+ x637 + x697 + x757 + x817 + x877 =E= 1;
e939.. x38 + x98 + x158 + x218 + x278 + x338 + x398 + x458 + x518 + x578
+ x638 + x698 + x758 + x818 + x878 =E= 1;
e940.. x39 + x99 + x159 + x219 + x279 + x339 + x399 + x459 + x519 + x579
+ x639 + x699 + x759 + x819 + x879 =E= 1;
e941.. x40 + x100 + x160 + x220 + x280 + x340 + x400 + x460 + x520 + x580
+ x640 + x700 + x760 + x820 + x880 =E= 1;
e942.. x41 + x101 + x161 + x221 + x281 + x341 + x401 + x461 + x521 + x581
+ x641 + x701 + x761 + x821 + x881 =E= 1;
e943.. x42 + x102 + x162 + x222 + x282 + x342 + x402 + x462 + x522 + x582
+ x642 + x702 + x762 + x822 + x882 =E= 1;
e944.. x43 + x103 + x163 + x223 + x283 + x343 + x403 + x463 + x523 + x583
+ x643 + x703 + x763 + x823 + x883 =E= 1;
e945.. x44 + x104 + x164 + x224 + x284 + x344 + x404 + x464 + x524 + x584
+ x644 + x704 + x764 + x824 + x884 =E= 1;
e946.. x45 + x105 + x165 + x225 + x285 + x345 + x405 + x465 + x525 + x585
+ x645 + x705 + x765 + x825 + x885 =E= 1;
e947.. x46 + x106 + x166 + x226 + x286 + x346 + x406 + x466 + x526 + x586
+ x646 + x706 + x766 + x826 + x886 =E= 1;
e948.. x47 + x107 + x167 + x227 + x287 + x347 + x407 + x467 + x527 + x587
+ x647 + x707 + x767 + x827 + x887 =E= 1;
e949.. x48 + x108 + x168 + x228 + x288 + x348 + x408 + x468 + x528 + x588
+ x648 + x708 + x768 + x828 + x888 =E= 1;
e950.. x49 + x109 + x169 + x229 + x289 + x349 + x409 + x469 + x529 + x589
+ x649 + x709 + x769 + x829 + x889 =E= 1;
e951.. x50 + x110 + x170 + x230 + x290 + x350 + x410 + x470 + x530 + x590
+ x650 + x710 + x770 + x830 + x890 =E= 1;
e952.. x51 + x111 + x171 + x231 + x291 + x351 + x411 + x471 + x531 + x591
+ x651 + x711 + x771 + x831 + x891 =E= 1;
e953.. x52 + x112 + x172 + x232 + x292 + x352 + x412 + x472 + x532 + x592
+ x652 + x712 + x772 + x832 + x892 =E= 1;
e954.. x53 + x113 + x173 + x233 + x293 + x353 + x413 + x473 + x533 + x593
+ x653 + x713 + x773 + x833 + x893 =E= 1;
e955.. x54 + x114 + x174 + x234 + x294 + x354 + x414 + x474 + x534 + x594
+ x654 + x714 + x774 + x834 + x894 =E= 1;
e956.. x55 + x115 + x175 + x235 + x295 + x355 + x415 + x475 + x535 + x595
+ x655 + x715 + x775 + x835 + x895 =E= 1;
e957.. x56 + x116 + x176 + x236 + x296 + x356 + x416 + x476 + x536 + x596
+ x656 + x716 + x776 + x836 + x896 =E= 1;
e958.. x57 + x117 + x177 + x237 + x297 + x357 + x417 + x477 + x537 + x597
+ x657 + x717 + x777 + x837 + x897 =E= 1;
e959.. x58 + x118 + x178 + x238 + x298 + x358 + x418 + x478 + x538 + x598
+ x658 + x718 + x778 + x838 + x898 =E= 1;
e960.. x59 + x119 + x179 + x239 + x299 + x359 + x419 + x479 + x539 + x599
+ x659 + x719 + x779 + x839 + x899 =E= 1;
e961.. x60 + x120 + x180 + x240 + x300 + x360 + x420 + x480 + x540 + x600
+ x660 + x720 + x780 + x840 + x900 =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: 2025-08-07 Git hash: e62cedfc