MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance squfl025-025
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ⓘ | -308.10605260 (ALPHAECP) 168.80603120 (ANTIGONE) 168.80722590 (BARON) 168.80722560 (BONMIN) 168.80715810 (COUENNE) 168.80722610 (CPLEX) 168.80722610 (GUROBI) 168.80722610 (LINDO) 168.80722540 (SCIP) 168.80722610 (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ⓘ | 650 |
| #Binary Variablesⓘ | 25 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 625 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 650 |
| #Nonlinear Nonzeros in Objectiveⓘ | 625 |
| #Constraintsⓘ | 650 |
| #Linear Constraintsⓘ | 650 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 1875 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 625 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 625 |
| #Blocks in Hessian of Lagrangianⓘ | 625 |
| 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ⓘ | 6.5438e-01 |
| Maximal coefficientⓘ | 9.8000e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 651 26 0 625 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 651 626 25 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2526 1901 625 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,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636
,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649
,b650,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;
Binary Variables b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636,b637
,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649,b650;
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;
e1.. -(40.7804759877481*x1*x1 + 39.183122531594*x2*x2 + 30.0630680918676*x3*x3
+ 27.910374043435*x4*x4 + 24.4690398091763*x5*x5 + 37.3086869818263*x6*x6
+ 12.7239310228108*x7*x7 + 53.5178042362305*x8*x8 + 8.41938422383313*x9*
x9 + 5.71420640687543*x10*x10 + 15.256893384866*x11*x11 + 24.4070933474102
*x12*x12 + 43.9368842927946*x13*x13 + 32.1950383474197*x14*x14 +
6.08532617356701*x15*x15 + 36.1440336239088*x16*x16 + 5.7389399696557*x17*
x17 + 40.4576662897228*x18*x18 + 12.238443328113*x19*x19 +
28.7303546555384*x20*x20 + 25.8680272055728*x21*x21 + 4.41730113789473*x22
*x22 + 32.5525549231867*x23*x23 + 27.6633993492016*x24*x24 +
46.9239158559226*x25*x25 + 12.6875040336506*x26*x26 + 1.43202460418749*x27
*x27 + 9.99093927332003*x28*x28 + 20.6182823618946*x29*x29 +
15.5315838865209*x30*x30 + 0.980992235306433*x31*x31 + 32.2102836777683*
x32*x32 + 15.4465175565398*x33*x33 + 29.8809405555801*x34*x34 +
40.5870979373483*x35*x35 + 25.0719078075173*x36*x36 + 15.3708042660906*x37
*x37 + 10.7555151341262*x38*x38 + 12.276325967395*x39*x39 +
42.8899046018616*x40*x40 + 4.57200093782715*x41*x41 + 43.3135551932319*x42
*x42 + 20.2834848765248*x43*x43 + 26.6661384132522*x44*x44 +
24.3408782539418*x45*x45 + 13.2003103224091*x46*x46 + 41.5744788942728*x47
*x47 + 5.93551692867985*x48*x48 + 11.1310546972153*x49*x49 +
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26.3859366844512*x580*x580 + 19.2980309640081*x581*x581 + 27.1080732056737
*x582*x582 + 25.6598645917821*x583*x583 + 31.5951786717697*x584*x584 +
37.8059893490236*x585*x585 + 23.233335476575*x586*x586 + 16.6925341769293*
x587*x587 + 30.2521488930938*x588*x588 + 28.7561828679267*x589*x589 +
40.5155238118795*x590*x590 + 23.0418805690381*x591*x591 + 41.4824337386447
*x592*x592 + 39.0567359639612*x593*x593 + 26.6795089083551*x594*x594 +
38.8629950026308*x595*x595 + 23.9284376016537*x596*x596 + 39.8196657565687
*x597*x597 + 20.4095513732146*x598*x598 + 17.1635762813129*x599*x599 +
11.3024707056812*x600*x600 + 43.2216142122513*x601*x601 + 32.1958816363713
*x602*x602 + 32.3360185264323*x603*x603 + 40.0948337980926*x604*x604 +
31.2419451873797*x605*x605 + 31.7822097117694*x606*x606 + 17.8010470053686
*x607*x607 + 42.0764073872544*x608*x608 + 27.0022803136903*x609*x609 +
27.6275132799358*x610*x610 + 19.1768522919846*x611*x611 + 20.7088813101551
*x612*x612 + 42.9613774073436*x613*x613 + 37.0549508756756*x614*x614 +
30.1987430735721*x615*x615 + 34.2517048390155*x616*x616 + 31.4588209184679
*x617*x617 + 48.3336632067237*x618*x618 + 22.5059619035709*x619*x619 +
43.4751615386097*x620*x620 + 29.7589759387266*x621*x621 + 30.1379760987644
*x622*x622 + 30.3493665561892*x623*x623 + 24.2931260988099*x624*x624 +
19.2640806823065*x625*x625) - 59*b626 - 8*b627 - 33*b628 - 68*b629
- 74*b630 - 19*b631 - 88*b632 - 75*b633 - 40*b634 - 98*b635 - 71*b636
- 41*b637 - 28*b638 - 60*b639 - 7*b640 - 60*b641 - 20*b642 - 51*b643
- 21*b644 - 48*b645 - 45*b646 - 78*b647 - 76*b648 - 58*b649 - 62*b650
+ objvar =E= 0;
e2.. x1 - b626 =L= 0;
e3.. x2 - b626 =L= 0;
e4.. x3 - b626 =L= 0;
e5.. x4 - b626 =L= 0;
e6.. x5 - b626 =L= 0;
e7.. x6 - b626 =L= 0;
e8.. x7 - b626 =L= 0;
e9.. x8 - b626 =L= 0;
e10.. x9 - b626 =L= 0;
e11.. x10 - b626 =L= 0;
e12.. x11 - b626 =L= 0;
e13.. x12 - b626 =L= 0;
e14.. x13 - b626 =L= 0;
e15.. x14 - b626 =L= 0;
e16.. x15 - b626 =L= 0;
e17.. x16 - b626 =L= 0;
e18.. x17 - b626 =L= 0;
e19.. x18 - b626 =L= 0;
e20.. x19 - b626 =L= 0;
e21.. x20 - b626 =L= 0;
e22.. x21 - b626 =L= 0;
e23.. x22 - b626 =L= 0;
e24.. x23 - b626 =L= 0;
e25.. x24 - b626 =L= 0;
e26.. x25 - b626 =L= 0;
e27.. x26 - b627 =L= 0;
e28.. x27 - b627 =L= 0;
e29.. x28 - b627 =L= 0;
e30.. x29 - b627 =L= 0;
e31.. x30 - b627 =L= 0;
e32.. x31 - b627 =L= 0;
e33.. x32 - b627 =L= 0;
e34.. x33 - b627 =L= 0;
e35.. x34 - b627 =L= 0;
e36.. x35 - b627 =L= 0;
e37.. x36 - b627 =L= 0;
e38.. x37 - b627 =L= 0;
e39.. x38 - b627 =L= 0;
e40.. x39 - b627 =L= 0;
e41.. x40 - b627 =L= 0;
e42.. x41 - b627 =L= 0;
e43.. x42 - b627 =L= 0;
e44.. x43 - b627 =L= 0;
e45.. x44 - b627 =L= 0;
e46.. x45 - b627 =L= 0;
e47.. x46 - b627 =L= 0;
e48.. x47 - b627 =L= 0;
e49.. x48 - b627 =L= 0;
e50.. x49 - b627 =L= 0;
e51.. x50 - b627 =L= 0;
e52.. x51 - b628 =L= 0;
e53.. x52 - b628 =L= 0;
e54.. x53 - b628 =L= 0;
e55.. x54 - b628 =L= 0;
e56.. x55 - b628 =L= 0;
e57.. x56 - b628 =L= 0;
e58.. x57 - b628 =L= 0;
e59.. x58 - b628 =L= 0;
e60.. x59 - b628 =L= 0;
e61.. x60 - b628 =L= 0;
e62.. x61 - b628 =L= 0;
e63.. x62 - b628 =L= 0;
e64.. x63 - b628 =L= 0;
e65.. x64 - b628 =L= 0;
e66.. x65 - b628 =L= 0;
e67.. x66 - b628 =L= 0;
e68.. x67 - b628 =L= 0;
e69.. x68 - b628 =L= 0;
e70.. x69 - b628 =L= 0;
e71.. x70 - b628 =L= 0;
e72.. x71 - b628 =L= 0;
e73.. x72 - b628 =L= 0;
e74.. x73 - b628 =L= 0;
e75.. x74 - b628 =L= 0;
e76.. x75 - b628 =L= 0;
e77.. x76 - b629 =L= 0;
e78.. x77 - b629 =L= 0;
e79.. x78 - b629 =L= 0;
e80.. x79 - b629 =L= 0;
e81.. x80 - b629 =L= 0;
e82.. x81 - b629 =L= 0;
e83.. x82 - b629 =L= 0;
e84.. x83 - b629 =L= 0;
e85.. x84 - b629 =L= 0;
e86.. x85 - b629 =L= 0;
e87.. x86 - b629 =L= 0;
e88.. x87 - b629 =L= 0;
e89.. x88 - b629 =L= 0;
e90.. x89 - b629 =L= 0;
e91.. x90 - b629 =L= 0;
e92.. x91 - b629 =L= 0;
e93.. x92 - b629 =L= 0;
e94.. x93 - b629 =L= 0;
e95.. x94 - b629 =L= 0;
e96.. x95 - b629 =L= 0;
e97.. x96 - b629 =L= 0;
e98.. x97 - b629 =L= 0;
e99.. x98 - b629 =L= 0;
e100.. x99 - b629 =L= 0;
e101.. x100 - b629 =L= 0;
e102.. x101 - b630 =L= 0;
e103.. x102 - b630 =L= 0;
e104.. x103 - b630 =L= 0;
e105.. x104 - b630 =L= 0;
e106.. x105 - b630 =L= 0;
e107.. x106 - b630 =L= 0;
e108.. x107 - b630 =L= 0;
e109.. x108 - b630 =L= 0;
e110.. x109 - b630 =L= 0;
e111.. x110 - b630 =L= 0;
e112.. x111 - b630 =L= 0;
e113.. x112 - b630 =L= 0;
e114.. x113 - b630 =L= 0;
e115.. x114 - b630 =L= 0;
e116.. x115 - b630 =L= 0;
e117.. x116 - b630 =L= 0;
e118.. x117 - b630 =L= 0;
e119.. x118 - b630 =L= 0;
e120.. x119 - b630 =L= 0;
e121.. x120 - b630 =L= 0;
e122.. x121 - b630 =L= 0;
e123.. x122 - b630 =L= 0;
e124.. x123 - b630 =L= 0;
e125.. x124 - b630 =L= 0;
e126.. x125 - b630 =L= 0;
e127.. x126 - b631 =L= 0;
e128.. x127 - b631 =L= 0;
e129.. x128 - b631 =L= 0;
e130.. x129 - b631 =L= 0;
e131.. x130 - b631 =L= 0;
e132.. x131 - b631 =L= 0;
e133.. x132 - b631 =L= 0;
e134.. x133 - b631 =L= 0;
e135.. x134 - b631 =L= 0;
e136.. x135 - b631 =L= 0;
e137.. x136 - b631 =L= 0;
e138.. x137 - b631 =L= 0;
e139.. x138 - b631 =L= 0;
e140.. x139 - b631 =L= 0;
e141.. x140 - b631 =L= 0;
e142.. x141 - b631 =L= 0;
e143.. x142 - b631 =L= 0;
e144.. x143 - b631 =L= 0;
e145.. x144 - b631 =L= 0;
e146.. x145 - b631 =L= 0;
e147.. x146 - b631 =L= 0;
e148.. x147 - b631 =L= 0;
e149.. x148 - b631 =L= 0;
e150.. x149 - b631 =L= 0;
e151.. x150 - b631 =L= 0;
e152.. x151 - b632 =L= 0;
e153.. x152 - b632 =L= 0;
e154.. x153 - b632 =L= 0;
e155.. x154 - b632 =L= 0;
e156.. x155 - b632 =L= 0;
e157.. x156 - b632 =L= 0;
e158.. x157 - b632 =L= 0;
e159.. x158 - b632 =L= 0;
e160.. x159 - b632 =L= 0;
e161.. x160 - b632 =L= 0;
e162.. x161 - b632 =L= 0;
e163.. x162 - b632 =L= 0;
e164.. x163 - b632 =L= 0;
e165.. x164 - b632 =L= 0;
e166.. x165 - b632 =L= 0;
e167.. x166 - b632 =L= 0;
e168.. x167 - b632 =L= 0;
e169.. x168 - b632 =L= 0;
e170.. x169 - b632 =L= 0;
e171.. x170 - b632 =L= 0;
e172.. x171 - b632 =L= 0;
e173.. x172 - b632 =L= 0;
e174.. x173 - b632 =L= 0;
e175.. x174 - b632 =L= 0;
e176.. x175 - b632 =L= 0;
e177.. x176 - b633 =L= 0;
e178.. x177 - b633 =L= 0;
e179.. x178 - b633 =L= 0;
e180.. x179 - b633 =L= 0;
e181.. x180 - b633 =L= 0;
e182.. x181 - b633 =L= 0;
e183.. x182 - b633 =L= 0;
e184.. x183 - b633 =L= 0;
e185.. x184 - b633 =L= 0;
e186.. x185 - b633 =L= 0;
e187.. x186 - b633 =L= 0;
e188.. x187 - b633 =L= 0;
e189.. x188 - b633 =L= 0;
e190.. x189 - b633 =L= 0;
e191.. x190 - b633 =L= 0;
e192.. x191 - b633 =L= 0;
e193.. x192 - b633 =L= 0;
e194.. x193 - b633 =L= 0;
e195.. x194 - b633 =L= 0;
e196.. x195 - b633 =L= 0;
e197.. x196 - b633 =L= 0;
e198.. x197 - b633 =L= 0;
e199.. x198 - b633 =L= 0;
e200.. x199 - b633 =L= 0;
e201.. x200 - b633 =L= 0;
e202.. x201 - b634 =L= 0;
e203.. x202 - b634 =L= 0;
e204.. x203 - b634 =L= 0;
e205.. x204 - b634 =L= 0;
e206.. x205 - b634 =L= 0;
e207.. x206 - b634 =L= 0;
e208.. x207 - b634 =L= 0;
e209.. x208 - b634 =L= 0;
e210.. x209 - b634 =L= 0;
e211.. x210 - b634 =L= 0;
e212.. x211 - b634 =L= 0;
e213.. x212 - b634 =L= 0;
e214.. x213 - b634 =L= 0;
e215.. x214 - b634 =L= 0;
e216.. x215 - b634 =L= 0;
e217.. x216 - b634 =L= 0;
e218.. x217 - b634 =L= 0;
e219.. x218 - b634 =L= 0;
e220.. x219 - b634 =L= 0;
e221.. x220 - b634 =L= 0;
e222.. x221 - b634 =L= 0;
e223.. x222 - b634 =L= 0;
e224.. x223 - b634 =L= 0;
e225.. x224 - b634 =L= 0;
e226.. x225 - b634 =L= 0;
e227.. x226 - b635 =L= 0;
e228.. x227 - b635 =L= 0;
e229.. x228 - b635 =L= 0;
e230.. x229 - b635 =L= 0;
e231.. x230 - b635 =L= 0;
e232.. x231 - b635 =L= 0;
e233.. x232 - b635 =L= 0;
e234.. x233 - b635 =L= 0;
e235.. x234 - b635 =L= 0;
e236.. x235 - b635 =L= 0;
e237.. x236 - b635 =L= 0;
e238.. x237 - b635 =L= 0;
e239.. x238 - b635 =L= 0;
e240.. x239 - b635 =L= 0;
e241.. x240 - b635 =L= 0;
e242.. x241 - b635 =L= 0;
e243.. x242 - b635 =L= 0;
e244.. x243 - b635 =L= 0;
e245.. x244 - b635 =L= 0;
e246.. x245 - b635 =L= 0;
e247.. x246 - b635 =L= 0;
e248.. x247 - b635 =L= 0;
e249.. x248 - b635 =L= 0;
e250.. x249 - b635 =L= 0;
e251.. x250 - b635 =L= 0;
e252.. x251 - b636 =L= 0;
e253.. x252 - b636 =L= 0;
e254.. x253 - b636 =L= 0;
e255.. x254 - b636 =L= 0;
e256.. x255 - b636 =L= 0;
e257.. x256 - b636 =L= 0;
e258.. x257 - b636 =L= 0;
e259.. x258 - b636 =L= 0;
e260.. x259 - b636 =L= 0;
e261.. x260 - b636 =L= 0;
e262.. x261 - b636 =L= 0;
e263.. x262 - b636 =L= 0;
e264.. x263 - b636 =L= 0;
e265.. x264 - b636 =L= 0;
e266.. x265 - b636 =L= 0;
e267.. x266 - b636 =L= 0;
e268.. x267 - b636 =L= 0;
e269.. x268 - b636 =L= 0;
e270.. x269 - b636 =L= 0;
e271.. x270 - b636 =L= 0;
e272.. x271 - b636 =L= 0;
e273.. x272 - b636 =L= 0;
e274.. x273 - b636 =L= 0;
e275.. x274 - b636 =L= 0;
e276.. x275 - b636 =L= 0;
e277.. x276 - b637 =L= 0;
e278.. x277 - b637 =L= 0;
e279.. x278 - b637 =L= 0;
e280.. x279 - b637 =L= 0;
e281.. x280 - b637 =L= 0;
e282.. x281 - b637 =L= 0;
e283.. x282 - b637 =L= 0;
e284.. x283 - b637 =L= 0;
e285.. x284 - b637 =L= 0;
e286.. x285 - b637 =L= 0;
e287.. x286 - b637 =L= 0;
e288.. x287 - b637 =L= 0;
e289.. x288 - b637 =L= 0;
e290.. x289 - b637 =L= 0;
e291.. x290 - b637 =L= 0;
e292.. x291 - b637 =L= 0;
e293.. x292 - b637 =L= 0;
e294.. x293 - b637 =L= 0;
e295.. x294 - b637 =L= 0;
e296.. x295 - b637 =L= 0;
e297.. x296 - b637 =L= 0;
e298.. x297 - b637 =L= 0;
e299.. x298 - b637 =L= 0;
e300.. x299 - b637 =L= 0;
e301.. x300 - b637 =L= 0;
e302.. x301 - b638 =L= 0;
e303.. x302 - b638 =L= 0;
e304.. x303 - b638 =L= 0;
e305.. x304 - b638 =L= 0;
e306.. x305 - b638 =L= 0;
e307.. x306 - b638 =L= 0;
e308.. x307 - b638 =L= 0;
e309.. x308 - b638 =L= 0;
e310.. x309 - b638 =L= 0;
e311.. x310 - b638 =L= 0;
e312.. x311 - b638 =L= 0;
e313.. x312 - b638 =L= 0;
e314.. x313 - b638 =L= 0;
e315.. x314 - b638 =L= 0;
e316.. x315 - b638 =L= 0;
e317.. x316 - b638 =L= 0;
e318.. x317 - b638 =L= 0;
e319.. x318 - b638 =L= 0;
e320.. x319 - b638 =L= 0;
e321.. x320 - b638 =L= 0;
e322.. x321 - b638 =L= 0;
e323.. x322 - b638 =L= 0;
e324.. x323 - b638 =L= 0;
e325.. x324 - b638 =L= 0;
e326.. x325 - b638 =L= 0;
e327.. x326 - b639 =L= 0;
e328.. x327 - b639 =L= 0;
e329.. x328 - b639 =L= 0;
e330.. x329 - b639 =L= 0;
e331.. x330 - b639 =L= 0;
e332.. x331 - b639 =L= 0;
e333.. x332 - b639 =L= 0;
e334.. x333 - b639 =L= 0;
e335.. x334 - b639 =L= 0;
e336.. x335 - b639 =L= 0;
e337.. x336 - b639 =L= 0;
e338.. x337 - b639 =L= 0;
e339.. x338 - b639 =L= 0;
e340.. x339 - b639 =L= 0;
e341.. x340 - b639 =L= 0;
e342.. x341 - b639 =L= 0;
e343.. x342 - b639 =L= 0;
e344.. x343 - b639 =L= 0;
e345.. x344 - b639 =L= 0;
e346.. x345 - b639 =L= 0;
e347.. x346 - b639 =L= 0;
e348.. x347 - b639 =L= 0;
e349.. x348 - b639 =L= 0;
e350.. x349 - b639 =L= 0;
e351.. x350 - b639 =L= 0;
e352.. x351 - b640 =L= 0;
e353.. x352 - b640 =L= 0;
e354.. x353 - b640 =L= 0;
e355.. x354 - b640 =L= 0;
e356.. x355 - b640 =L= 0;
e357.. x356 - b640 =L= 0;
e358.. x357 - b640 =L= 0;
e359.. x358 - b640 =L= 0;
e360.. x359 - b640 =L= 0;
e361.. x360 - b640 =L= 0;
e362.. x361 - b640 =L= 0;
e363.. x362 - b640 =L= 0;
e364.. x363 - b640 =L= 0;
e365.. x364 - b640 =L= 0;
e366.. x365 - b640 =L= 0;
e367.. x366 - b640 =L= 0;
e368.. x367 - b640 =L= 0;
e369.. x368 - b640 =L= 0;
e370.. x369 - b640 =L= 0;
e371.. x370 - b640 =L= 0;
e372.. x371 - b640 =L= 0;
e373.. x372 - b640 =L= 0;
e374.. x373 - b640 =L= 0;
e375.. x374 - b640 =L= 0;
e376.. x375 - b640 =L= 0;
e377.. x376 - b641 =L= 0;
e378.. x377 - b641 =L= 0;
e379.. x378 - b641 =L= 0;
e380.. x379 - b641 =L= 0;
e381.. x380 - b641 =L= 0;
e382.. x381 - b641 =L= 0;
e383.. x382 - b641 =L= 0;
e384.. x383 - b641 =L= 0;
e385.. x384 - b641 =L= 0;
e386.. x385 - b641 =L= 0;
e387.. x386 - b641 =L= 0;
e388.. x387 - b641 =L= 0;
e389.. x388 - b641 =L= 0;
e390.. x389 - b641 =L= 0;
e391.. x390 - b641 =L= 0;
e392.. x391 - b641 =L= 0;
e393.. x392 - b641 =L= 0;
e394.. x393 - b641 =L= 0;
e395.. x394 - b641 =L= 0;
e396.. x395 - b641 =L= 0;
e397.. x396 - b641 =L= 0;
e398.. x397 - b641 =L= 0;
e399.. x398 - b641 =L= 0;
e400.. x399 - b641 =L= 0;
e401.. x400 - b641 =L= 0;
e402.. x401 - b642 =L= 0;
e403.. x402 - b642 =L= 0;
e404.. x403 - b642 =L= 0;
e405.. x404 - b642 =L= 0;
e406.. x405 - b642 =L= 0;
e407.. x406 - b642 =L= 0;
e408.. x407 - b642 =L= 0;
e409.. x408 - b642 =L= 0;
e410.. x409 - b642 =L= 0;
e411.. x410 - b642 =L= 0;
e412.. x411 - b642 =L= 0;
e413.. x412 - b642 =L= 0;
e414.. x413 - b642 =L= 0;
e415.. x414 - b642 =L= 0;
e416.. x415 - b642 =L= 0;
e417.. x416 - b642 =L= 0;
e418.. x417 - b642 =L= 0;
e419.. x418 - b642 =L= 0;
e420.. x419 - b642 =L= 0;
e421.. x420 - b642 =L= 0;
e422.. x421 - b642 =L= 0;
e423.. x422 - b642 =L= 0;
e424.. x423 - b642 =L= 0;
e425.. x424 - b642 =L= 0;
e426.. x425 - b642 =L= 0;
e427.. x426 - b643 =L= 0;
e428.. x427 - b643 =L= 0;
e429.. x428 - b643 =L= 0;
e430.. x429 - b643 =L= 0;
e431.. x430 - b643 =L= 0;
e432.. x431 - b643 =L= 0;
e433.. x432 - b643 =L= 0;
e434.. x433 - b643 =L= 0;
e435.. x434 - b643 =L= 0;
e436.. x435 - b643 =L= 0;
e437.. x436 - b643 =L= 0;
e438.. x437 - b643 =L= 0;
e439.. x438 - b643 =L= 0;
e440.. x439 - b643 =L= 0;
e441.. x440 - b643 =L= 0;
e442.. x441 - b643 =L= 0;
e443.. x442 - b643 =L= 0;
e444.. x443 - b643 =L= 0;
e445.. x444 - b643 =L= 0;
e446.. x445 - b643 =L= 0;
e447.. x446 - b643 =L= 0;
e448.. x447 - b643 =L= 0;
e449.. x448 - b643 =L= 0;
e450.. x449 - b643 =L= 0;
e451.. x450 - b643 =L= 0;
e452.. x451 - b644 =L= 0;
e453.. x452 - b644 =L= 0;
e454.. x453 - b644 =L= 0;
e455.. x454 - b644 =L= 0;
e456.. x455 - b644 =L= 0;
e457.. x456 - b644 =L= 0;
e458.. x457 - b644 =L= 0;
e459.. x458 - b644 =L= 0;
e460.. x459 - b644 =L= 0;
e461.. x460 - b644 =L= 0;
e462.. x461 - b644 =L= 0;
e463.. x462 - b644 =L= 0;
e464.. x463 - b644 =L= 0;
e465.. x464 - b644 =L= 0;
e466.. x465 - b644 =L= 0;
e467.. x466 - b644 =L= 0;
e468.. x467 - b644 =L= 0;
e469.. x468 - b644 =L= 0;
e470.. x469 - b644 =L= 0;
e471.. x470 - b644 =L= 0;
e472.. x471 - b644 =L= 0;
e473.. x472 - b644 =L= 0;
e474.. x473 - b644 =L= 0;
e475.. x474 - b644 =L= 0;
e476.. x475 - b644 =L= 0;
e477.. x476 - b645 =L= 0;
e478.. x477 - b645 =L= 0;
e479.. x478 - b645 =L= 0;
e480.. x479 - b645 =L= 0;
e481.. x480 - b645 =L= 0;
e482.. x481 - b645 =L= 0;
e483.. x482 - b645 =L= 0;
e484.. x483 - b645 =L= 0;
e485.. x484 - b645 =L= 0;
e486.. x485 - b645 =L= 0;
e487.. x486 - b645 =L= 0;
e488.. x487 - b645 =L= 0;
e489.. x488 - b645 =L= 0;
e490.. x489 - b645 =L= 0;
e491.. x490 - b645 =L= 0;
e492.. x491 - b645 =L= 0;
e493.. x492 - b645 =L= 0;
e494.. x493 - b645 =L= 0;
e495.. x494 - b645 =L= 0;
e496.. x495 - b645 =L= 0;
e497.. x496 - b645 =L= 0;
e498.. x497 - b645 =L= 0;
e499.. x498 - b645 =L= 0;
e500.. x499 - b645 =L= 0;
e501.. x500 - b645 =L= 0;
e502.. x501 - b646 =L= 0;
e503.. x502 - b646 =L= 0;
e504.. x503 - b646 =L= 0;
e505.. x504 - b646 =L= 0;
e506.. x505 - b646 =L= 0;
e507.. x506 - b646 =L= 0;
e508.. x507 - b646 =L= 0;
e509.. x508 - b646 =L= 0;
e510.. x509 - b646 =L= 0;
e511.. x510 - b646 =L= 0;
e512.. x511 - b646 =L= 0;
e513.. x512 - b646 =L= 0;
e514.. x513 - b646 =L= 0;
e515.. x514 - b646 =L= 0;
e516.. x515 - b646 =L= 0;
e517.. x516 - b646 =L= 0;
e518.. x517 - b646 =L= 0;
e519.. x518 - b646 =L= 0;
e520.. x519 - b646 =L= 0;
e521.. x520 - b646 =L= 0;
e522.. x521 - b646 =L= 0;
e523.. x522 - b646 =L= 0;
e524.. x523 - b646 =L= 0;
e525.. x524 - b646 =L= 0;
e526.. x525 - b646 =L= 0;
e527.. x526 - b647 =L= 0;
e528.. x527 - b647 =L= 0;
e529.. x528 - b647 =L= 0;
e530.. x529 - b647 =L= 0;
e531.. x530 - b647 =L= 0;
e532.. x531 - b647 =L= 0;
e533.. x532 - b647 =L= 0;
e534.. x533 - b647 =L= 0;
e535.. x534 - b647 =L= 0;
e536.. x535 - b647 =L= 0;
e537.. x536 - b647 =L= 0;
e538.. x537 - b647 =L= 0;
e539.. x538 - b647 =L= 0;
e540.. x539 - b647 =L= 0;
e541.. x540 - b647 =L= 0;
e542.. x541 - b647 =L= 0;
e543.. x542 - b647 =L= 0;
e544.. x543 - b647 =L= 0;
e545.. x544 - b647 =L= 0;
e546.. x545 - b647 =L= 0;
e547.. x546 - b647 =L= 0;
e548.. x547 - b647 =L= 0;
e549.. x548 - b647 =L= 0;
e550.. x549 - b647 =L= 0;
e551.. x550 - b647 =L= 0;
e552.. x551 - b648 =L= 0;
e553.. x552 - b648 =L= 0;
e554.. x553 - b648 =L= 0;
e555.. x554 - b648 =L= 0;
e556.. x555 - b648 =L= 0;
e557.. x556 - b648 =L= 0;
e558.. x557 - b648 =L= 0;
e559.. x558 - b648 =L= 0;
e560.. x559 - b648 =L= 0;
e561.. x560 - b648 =L= 0;
e562.. x561 - b648 =L= 0;
e563.. x562 - b648 =L= 0;
e564.. x563 - b648 =L= 0;
e565.. x564 - b648 =L= 0;
e566.. x565 - b648 =L= 0;
e567.. x566 - b648 =L= 0;
e568.. x567 - b648 =L= 0;
e569.. x568 - b648 =L= 0;
e570.. x569 - b648 =L= 0;
e571.. x570 - b648 =L= 0;
e572.. x571 - b648 =L= 0;
e573.. x572 - b648 =L= 0;
e574.. x573 - b648 =L= 0;
e575.. x574 - b648 =L= 0;
e576.. x575 - b648 =L= 0;
e577.. x576 - b649 =L= 0;
e578.. x577 - b649 =L= 0;
e579.. x578 - b649 =L= 0;
e580.. x579 - b649 =L= 0;
e581.. x580 - b649 =L= 0;
e582.. x581 - b649 =L= 0;
e583.. x582 - b649 =L= 0;
e584.. x583 - b649 =L= 0;
e585.. x584 - b649 =L= 0;
e586.. x585 - b649 =L= 0;
e587.. x586 - b649 =L= 0;
e588.. x587 - b649 =L= 0;
e589.. x588 - b649 =L= 0;
e590.. x589 - b649 =L= 0;
e591.. x590 - b649 =L= 0;
e592.. x591 - b649 =L= 0;
e593.. x592 - b649 =L= 0;
e594.. x593 - b649 =L= 0;
e595.. x594 - b649 =L= 0;
e596.. x595 - b649 =L= 0;
e597.. x596 - b649 =L= 0;
e598.. x597 - b649 =L= 0;
e599.. x598 - b649 =L= 0;
e600.. x599 - b649 =L= 0;
e601.. x600 - b649 =L= 0;
e602.. x601 - b650 =L= 0;
e603.. x602 - b650 =L= 0;
e604.. x603 - b650 =L= 0;
e605.. x604 - b650 =L= 0;
e606.. x605 - b650 =L= 0;
e607.. x606 - b650 =L= 0;
e608.. x607 - b650 =L= 0;
e609.. x608 - b650 =L= 0;
e610.. x609 - b650 =L= 0;
e611.. x610 - b650 =L= 0;
e612.. x611 - b650 =L= 0;
e613.. x612 - b650 =L= 0;
e614.. x613 - b650 =L= 0;
e615.. x614 - b650 =L= 0;
e616.. x615 - b650 =L= 0;
e617.. x616 - b650 =L= 0;
e618.. x617 - b650 =L= 0;
e619.. x618 - b650 =L= 0;
e620.. x619 - b650 =L= 0;
e621.. x620 - b650 =L= 0;
e622.. x621 - b650 =L= 0;
e623.. x622 - b650 =L= 0;
e624.. x623 - b650 =L= 0;
e625.. x624 - b650 =L= 0;
e626.. x625 - b650 =L= 0;
e627.. x1 + x26 + x51 + x76 + x101 + x126 + x151 + x176 + x201 + x226 + x251
+ x276 + x301 + x326 + x351 + x376 + x401 + x426 + x451 + x476 + x501
+ x526 + x551 + x576 + x601 =E= 1;
e628.. x2 + x27 + x52 + x77 + x102 + x127 + x152 + x177 + x202 + x227 + x252
+ x277 + x302 + x327 + x352 + x377 + x402 + x427 + x452 + x477 + x502
+ x527 + x552 + x577 + x602 =E= 1;
e629.. x3 + x28 + x53 + x78 + x103 + x128 + x153 + x178 + x203 + x228 + x253
+ x278 + x303 + x328 + x353 + x378 + x403 + x428 + x453 + x478 + x503
+ x528 + x553 + x578 + x603 =E= 1;
e630.. x4 + x29 + x54 + x79 + x104 + x129 + x154 + x179 + x204 + x229 + x254
+ x279 + x304 + x329 + x354 + x379 + x404 + x429 + x454 + x479 + x504
+ x529 + x554 + x579 + x604 =E= 1;
e631.. x5 + x30 + x55 + x80 + x105 + x130 + x155 + x180 + x205 + x230 + x255
+ x280 + x305 + x330 + x355 + x380 + x405 + x430 + x455 + x480 + x505
+ x530 + x555 + x580 + x605 =E= 1;
e632.. x6 + x31 + x56 + x81 + x106 + x131 + x156 + x181 + x206 + x231 + x256
+ x281 + x306 + x331 + x356 + x381 + x406 + x431 + x456 + x481 + x506
+ x531 + x556 + x581 + x606 =E= 1;
e633.. x7 + x32 + x57 + x82 + x107 + x132 + x157 + x182 + x207 + x232 + x257
+ x282 + x307 + x332 + x357 + x382 + x407 + x432 + x457 + x482 + x507
+ x532 + x557 + x582 + x607 =E= 1;
e634.. x8 + x33 + x58 + x83 + x108 + x133 + x158 + x183 + x208 + x233 + x258
+ x283 + x308 + x333 + x358 + x383 + x408 + x433 + x458 + x483 + x508
+ x533 + x558 + x583 + x608 =E= 1;
e635.. x9 + x34 + x59 + x84 + x109 + x134 + x159 + x184 + x209 + x234 + x259
+ x284 + x309 + x334 + x359 + x384 + x409 + x434 + x459 + x484 + x509
+ x534 + x559 + x584 + x609 =E= 1;
e636.. x10 + x35 + x60 + x85 + x110 + x135 + x160 + x185 + x210 + x235
+ x260 + x285 + x310 + x335 + x360 + x385 + x410 + x435 + x460 + x485
+ x510 + x535 + x560 + x585 + x610 =E= 1;
e637.. x11 + x36 + x61 + x86 + x111 + x136 + x161 + x186 + x211 + x236
+ x261 + x286 + x311 + x336 + x361 + x386 + x411 + x436 + x461 + x486
+ x511 + x536 + x561 + x586 + x611 =E= 1;
e638.. x12 + x37 + x62 + x87 + x112 + x137 + x162 + x187 + x212 + x237
+ x262 + x287 + x312 + x337 + x362 + x387 + x412 + x437 + x462 + x487
+ x512 + x537 + x562 + x587 + x612 =E= 1;
e639.. x13 + x38 + x63 + x88 + x113 + x138 + x163 + x188 + x213 + x238
+ x263 + x288 + x313 + x338 + x363 + x388 + x413 + x438 + x463 + x488
+ x513 + x538 + x563 + x588 + x613 =E= 1;
e640.. x14 + x39 + x64 + x89 + x114 + x139 + x164 + x189 + x214 + x239
+ x264 + x289 + x314 + x339 + x364 + x389 + x414 + x439 + x464 + x489
+ x514 + x539 + x564 + x589 + x614 =E= 1;
e641.. x15 + x40 + x65 + x90 + x115 + x140 + x165 + x190 + x215 + x240
+ x265 + x290 + x315 + x340 + x365 + x390 + x415 + x440 + x465 + x490
+ x515 + x540 + x565 + x590 + x615 =E= 1;
e642.. x16 + x41 + x66 + x91 + x116 + x141 + x166 + x191 + x216 + x241
+ x266 + x291 + x316 + x341 + x366 + x391 + x416 + x441 + x466 + x491
+ x516 + x541 + x566 + x591 + x616 =E= 1;
e643.. x17 + x42 + x67 + x92 + x117 + x142 + x167 + x192 + x217 + x242
+ x267 + x292 + x317 + x342 + x367 + x392 + x417 + x442 + x467 + x492
+ x517 + x542 + x567 + x592 + x617 =E= 1;
e644.. x18 + x43 + x68 + x93 + x118 + x143 + x168 + x193 + x218 + x243
+ x268 + x293 + x318 + x343 + x368 + x393 + x418 + x443 + x468 + x493
+ x518 + x543 + x568 + x593 + x618 =E= 1;
e645.. x19 + x44 + x69 + x94 + x119 + x144 + x169 + x194 + x219 + x244
+ x269 + x294 + x319 + x344 + x369 + x394 + x419 + x444 + x469 + x494
+ x519 + x544 + x569 + x594 + x619 =E= 1;
e646.. x20 + x45 + x70 + x95 + x120 + x145 + x170 + x195 + x220 + x245
+ x270 + x295 + x320 + x345 + x370 + x395 + x420 + x445 + x470 + x495
+ x520 + x545 + x570 + x595 + x620 =E= 1;
e647.. x21 + x46 + x71 + x96 + x121 + x146 + x171 + x196 + x221 + x246
+ x271 + x296 + x321 + x346 + x371 + x396 + x421 + x446 + x471 + x496
+ x521 + x546 + x571 + x596 + x621 =E= 1;
e648.. x22 + x47 + x72 + x97 + x122 + x147 + x172 + x197 + x222 + x247
+ x272 + x297 + x322 + x347 + x372 + x397 + x422 + x447 + x472 + x497
+ x522 + x547 + x572 + x597 + x622 =E= 1;
e649.. x23 + x48 + x73 + x98 + x123 + x148 + x173 + x198 + x223 + x248
+ x273 + x298 + x323 + x348 + x373 + x398 + x423 + x448 + x473 + x498
+ x523 + x548 + x573 + x598 + x623 =E= 1;
e650.. x24 + x49 + x74 + x99 + x124 + x149 + x174 + x199 + x224 + x249
+ x274 + x299 + x324 + x349 + x374 + x399 + x424 + x449 + x474 + x499
+ x524 + x549 + x574 + x599 + x624 =E= 1;
e651.. x25 + x50 + x75 + x100 + x125 + x150 + x175 + x200 + x225 + x250
+ x275 + x300 + x325 + x350 + x375 + x400 + x425 + x450 + x475 + x500
+ x525 + x550 + x575 + x600 + x625 =E= 1;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f