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)
168.80727180 p1 ( gdx sol )
(infeas: 3e-16)
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 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
*        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
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     29.9974705952392*x50*x50 + 44.4384481818243*x51*x51 + 32.0172249129261*x52
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     35.2767086980718*x565*x565 + 9.08466179373399*x566*x566 + 35.809010158134*
     x567*x567 + 24.0495085380251*x568*x568 + 19.0667041661646*x569*x569 + 
     23.5452380292694*x570*x570 + 9.00247765570866*x571*x571 + 34.054290803208*
     x572*x572 + 5.30826679961931*x573*x573 + 3.44993069318191*x574*x574 + 
     26.8166988258393*x575*x575 + 32.1163256390124*x576*x576 + 18.7772365821489
     *x577*x577 + 24.2690029595612*x578*x578 + 34.9472775299237*x579*x579 + 
     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: 2022-10-14 Git hash: 2be6d7c0
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