QPLIB

A Library of Quadratic Programming Instances

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QPLIB_2540

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 124.35944630 (gdx, sol)
Solution point infeasibility solinfeasibility 3.6380e-12
Donor donor Ruth Misener
#Variables nvars 498
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 65
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 65
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 5
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 551
#Linear Constraints nlincons 341
#Quadratic Constraints nquadcons 210
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 210
#Nonzeros in Jacobian njacobiannz 2270
#Nonlinear Nonzeros in Jacobian njacobiannlnz 420
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 420
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 5
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 13
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 13
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 13.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_2540.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        552      516        0       36        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        499      499        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2276     1856      420        0
*
*  Solve m using QCP minimizing objvar;


Variables  objvar,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;

Positive Variables  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;

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;


e1..  - objvar + x2 + x3 + x4 + x5 + x6 =E= 0;

e2..  - x7 - x8 - x9 - x10 - x11 - x12 =E= -19;

e3..  - x13 - x14 - x15 - x16 - x17 - x18 =E= -7;

e4..  - x19 - x20 - x21 - x22 - x23 - x24 =E= -8;

e5..  - x25 - x26 - x27 - x28 - x29 - x30 =E= -6;

e6..  - x31 - x32 - x33 - x34 - x35 - x36 =E= -17;

e7..    x2 - x8 - x14 - x20 - x26 - x32 - x37 - x38 - x39 - x40 - x41 =E= 0;

e8..    x3 - x9 - x15 - x21 - x27 - x33 - x42 - x43 - x44 - x45 - x46 =E= 0;

e9..    x4 - x10 - x16 - x22 - x28 - x34 - x47 - x48 - x49 - x50 - x51 =E= 0;

e10..    x5 - x11 - x17 - x23 - x29 - x35 - x52 - x53 - x54 - x55 - x56 =E= 0;

e11..    x6 - x12 - x18 - x24 - x30 - x36 - x57 - x58 - x59 - x60 - x61 =E= 0;

e12..    x2 - x37 - x42 - x47 - x52 - x57 - x62 =E= 0;

e13..    x3 - x38 - x43 - x48 - x53 - x58 - x63 =E= 0;

e14..    x4 - x39 - x44 - x49 - x54 - x59 - x64 =E= 0;

e15..    x5 - x40 - x45 - x50 - x55 - x60 - x65 =E= 0;

e16..    x6 - x41 - x46 - x51 - x56 - x61 - x66 =E= 0;

e17..  - x7 - x13 - x19 - x25 - x31 - x62 - x63 - x64 - x65 - x66 + x67 =E= 0;

e18..  - x68 - x69 - x70 - x71 - x72 - x73 =E= -20900;

e19..  - x74 - x75 - x76 - x77 - x78 - x79 =E= -9500;

e20..  - x80 - x81 - x82 - x83 - x84 - x85 =E= -9500;

e21..  - x86 - x87 - x88 - x89 - x90 - x91 =E= -3800;

e22..  - x92 - x93 - x94 - x95 - x96 - x97 =E= -15200;

e23..  - x98 - x99 - x100 - x101 - x102 - x103 =E= -1900;

e24..  - x104 - x105 - x106 - x107 - x108 - x109 =E= -280;

e25..  - x110 - x111 - x112 - x113 - x114 - x115 =E= -700;

e26..  - x116 - x117 - x118 - x119 - x120 - x121 =E= -2100;

e27..  - x122 - x123 - x124 - x125 - x126 - x127 =E= -6370;

e28..  - x128 - x129 - x130 - x131 - x132 - x133 =E= -1400;

e29..  - x134 - x135 - x136 - x137 - x138 - x139 =E= -1600;

e30..  - x140 - x141 - x142 - x143 - x144 - x145 =E= -1760;

e31..  - x146 - x147 - x148 - x149 - x150 - x151 =E= -1600;

e32..  - x152 - x153 - x154 - x155 - x156 - x157 =E= -4000;

e33..  - x158 - x159 - x160 - x161 - x162 - x163 =E= -1200;

e34..  - x164 - x165 - x166 - x167 - x168 - x169 =E= -360;

e35..  - x170 - x171 - x172 - x173 - x174 - x175 =E= -3060;

e36..  - x176 - x177 - x178 - x179 - x180 - x181 =E= -3000;

e37..  - x182 - x183 - x184 - x185 - x186 - x187 =E= -1200;

e38..  - x188 - x189 - x190 - x191 - x192 - x193 =E= -4680;

e39..  - x194 - x195 - x196 - x197 - x198 - x199 =E= -600;

e40..  - x200 - x201 - x202 - x203 - x204 - x205 =E= -6800;

e41..  - x206 - x207 - x208 - x209 - x210 - x211 =E= -2890;

e42..  - x212 - x213 - x214 - x215 - x216 - x217 =E= -1700;

e43..  - x218 - x219 - x220 - x221 - x222 - x223 =E= -5100;

e44..  - x224 - x225 - x226 - x227 - x228 - x229 =E= -15300;

e45..  - x69 + 20900*x230 =E= 0;

e46..  - x75 + 9500*x230 =E= 0;

e47..  - x81 + 9500*x230 =E= 0;

e48..  - x87 + 3800*x230 =E= 0;

e49..  - x93 + 15200*x230 =E= 0;

e50..  - x99 + 1900*x230 =E= 0;

e51..  - x70 + 20900*x231 =E= 0;

e52..  - x76 + 9500*x231 =E= 0;

e53..  - x82 + 9500*x231 =E= 0;

e54..  - x88 + 3800*x231 =E= 0;

e55..  - x94 + 15200*x231 =E= 0;

e56..  - x100 + 1900*x231 =E= 0;

e57..  - x71 + 20900*x232 =E= 0;

e58..  - x77 + 9500*x232 =E= 0;

e59..  - x83 + 9500*x232 =E= 0;

e60..  - x89 + 3800*x232 =E= 0;

e61..  - x95 + 15200*x232 =E= 0;

e62..  - x101 + 1900*x232 =E= 0;

e63..  - x72 + 20900*x233 =E= 0;

e64..  - x78 + 9500*x233 =E= 0;

e65..  - x84 + 9500*x233 =E= 0;

e66..  - x90 + 3800*x233 =E= 0;

e67..  - x96 + 15200*x233 =E= 0;

e68..  - x102 + 1900*x233 =E= 0;

e69..  - x73 + 20900*x234 =E= 0;

e70..  - x79 + 9500*x234 =E= 0;

e71..  - x85 + 9500*x234 =E= 0;

e72..  - x91 + 3800*x234 =E= 0;

e73..  - x97 + 15200*x234 =E= 0;

e74..  - x103 + 1900*x234 =E= 0;

e75..  - x105 + 280*x235 =E= 0;

e76..  - x111 + 700*x235 =E= 0;

e77..  - x117 + 2100*x235 =E= 0;

e78..  - x123 + 6370*x235 =E= 0;

e79..  - x129 + 1400*x235 =E= 0;

e80..  - x106 + 280*x236 =E= 0;

e81..  - x112 + 700*x236 =E= 0;

e82..  - x118 + 2100*x236 =E= 0;

e83..  - x124 + 6370*x236 =E= 0;

e84..  - x130 + 1400*x236 =E= 0;

e85..  - x107 + 280*x237 =E= 0;

e86..  - x113 + 700*x237 =E= 0;

e87..  - x119 + 2100*x237 =E= 0;

e88..  - x125 + 6370*x237 =E= 0;

e89..  - x131 + 1400*x237 =E= 0;

e90..  - x108 + 280*x238 =E= 0;

e91..  - x114 + 700*x238 =E= 0;

e92..  - x120 + 2100*x238 =E= 0;

e93..  - x126 + 6370*x238 =E= 0;

e94..  - x132 + 1400*x238 =E= 0;

e95..  - x109 + 280*x239 =E= 0;

e96..  - x115 + 700*x239 =E= 0;

e97..  - x121 + 2100*x239 =E= 0;

e98..  - x127 + 6370*x239 =E= 0;

e99..  - x133 + 1400*x239 =E= 0;

e100..  - x135 + 1600*x240 =E= 0;

e101..  - x141 + 1760*x240 =E= 0;

e102..  - x147 + 1600*x240 =E= 0;

e103..  - x153 + 4000*x240 =E= 0;

e104..  - x159 + 1200*x240 =E= 0;

e105..  - x136 + 1600*x241 =E= 0;

e106..  - x142 + 1760*x241 =E= 0;

e107..  - x148 + 1600*x241 =E= 0;

e108..  - x154 + 4000*x241 =E= 0;

e109..  - x160 + 1200*x241 =E= 0;

e110..  - x137 + 1600*x242 =E= 0;

e111..  - x143 + 1760*x242 =E= 0;

e112..  - x149 + 1600*x242 =E= 0;

e113..  - x155 + 4000*x242 =E= 0;

e114..  - x161 + 1200*x242 =E= 0;

e115..  - x138 + 1600*x243 =E= 0;

e116..  - x144 + 1760*x243 =E= 0;

e117..  - x150 + 1600*x243 =E= 0;

e118..  - x156 + 4000*x243 =E= 0;

e119..  - x162 + 1200*x243 =E= 0;

e120..  - x139 + 1600*x244 =E= 0;

e121..  - x145 + 1760*x244 =E= 0;

e122..  - x151 + 1600*x244 =E= 0;

e123..  - x157 + 4000*x244 =E= 0;

e124..  - x163 + 1200*x244 =E= 0;

e125..  - x165 + 360*x245 =E= 0;

e126..  - x171 + 3060*x245 =E= 0;

e127..  - x177 + 3000*x245 =E= 0;

e128..  - x183 + 1200*x245 =E= 0;

e129..  - x189 + 4680*x245 =E= 0;

e130..  - x195 + 600*x245 =E= 0;

e131..  - x166 + 360*x246 =E= 0;

e132..  - x172 + 3060*x246 =E= 0;

e133..  - x178 + 3000*x246 =E= 0;

e134..  - x184 + 1200*x246 =E= 0;

e135..  - x190 + 4680*x246 =E= 0;

e136..  - x196 + 600*x246 =E= 0;

e137..  - x167 + 360*x247 =E= 0;

e138..  - x173 + 3060*x247 =E= 0;

e139..  - x179 + 3000*x247 =E= 0;

e140..  - x185 + 1200*x247 =E= 0;

e141..  - x191 + 4680*x247 =E= 0;

e142..  - x197 + 600*x247 =E= 0;

e143..  - x168 + 360*x248 =E= 0;

e144..  - x174 + 3060*x248 =E= 0;

e145..  - x180 + 3000*x248 =E= 0;

e146..  - x186 + 1200*x248 =E= 0;

e147..  - x192 + 4680*x248 =E= 0;

e148..  - x198 + 600*x248 =E= 0;

e149..  - x169 + 360*x249 =E= 0;

e150..  - x175 + 3060*x249 =E= 0;

e151..  - x181 + 3000*x249 =E= 0;

e152..  - x187 + 1200*x249 =E= 0;

e153..  - x193 + 4680*x249 =E= 0;

e154..  - x199 + 600*x249 =E= 0;

e155..  - x201 + 6800*x250 =E= 0;

e156..  - x207 + 2890*x250 =E= 0;

e157..  - x213 + 1700*x250 =E= 0;

e158..  - x219 + 5100*x250 =E= 0;

e159..  - x225 + 15300*x250 =E= 0;

e160..  - x202 + 6800*x251 =E= 0;

e161..  - x208 + 2890*x251 =E= 0;

e162..  - x214 + 1700*x251 =E= 0;

e163..  - x220 + 5100*x251 =E= 0;

e164..  - x226 + 15300*x251 =E= 0;

e165..  - x203 + 6800*x252 =E= 0;

e166..  - x209 + 2890*x252 =E= 0;

e167..  - x215 + 1700*x252 =E= 0;

e168..  - x221 + 5100*x252 =E= 0;

e169..  - x227 + 15300*x252 =E= 0;

e170..  - x204 + 6800*x253 =E= 0;

e171..  - x210 + 2890*x253 =E= 0;

e172..  - x216 + 1700*x253 =E= 0;

e173..  - x222 + 5100*x253 =E= 0;

e174..  - x228 + 15300*x253 =E= 0;

e175..  - x205 + 6800*x254 =E= 0;

e176..  - x211 + 2890*x254 =E= 0;

e177..  - x217 + 1700*x254 =E= 0;

e178..  - x223 + 5100*x254 =E= 0;

e179..  - x229 + 15300*x254 =E= 0;

e180..  - x68 + 20900*x255 =E= 0;

e181..  - x74 + 9500*x255 =E= 0;

e182..  - x80 + 9500*x255 =E= 0;

e183..  - x86 + 3800*x255 =E= 0;

e184..  - x92 + 15200*x255 =E= 0;

e185..  - x98 + 1900*x255 =E= 0;

e186..  - x104 + 280*x256 =E= 0;

e187..  - x110 + 700*x256 =E= 0;

e188..  - x116 + 2100*x256 =E= 0;

e189..  - x122 + 6370*x256 =E= 0;

e190..  - x128 + 1400*x256 =E= 0;

e191..  - x134 + 1600*x257 =E= 0;

e192..  - x140 + 1760*x257 =E= 0;

e193..  - x146 + 1600*x257 =E= 0;

e194..  - x152 + 4000*x257 =E= 0;

e195..  - x158 + 1200*x257 =E= 0;

e196..  - x164 + 360*x258 =E= 0;

e197..  - x170 + 3060*x258 =E= 0;

e198..  - x176 + 3000*x258 =E= 0;

e199..  - x182 + 1200*x258 =E= 0;

e200..  - x188 + 4680*x258 =E= 0;

e201..  - x194 + 600*x258 =E= 0;

e202..  - x200 + 6800*x259 =E= 0;

e203..  - x206 + 2890*x259 =E= 0;

e204..  - x212 + 1700*x259 =E= 0;

e205..  - x218 + 5100*x259 =E= 0;

e206..  - x224 + 15300*x259 =E= 0;

e207..  - x8 + 19*x230 =E= 0;

e208..  - x9 + 19*x231 =E= 0;

e209..  - x10 + 19*x232 =E= 0;

e210..  - x11 + 19*x233 =E= 0;

e211..  - x12 + 19*x234 =E= 0;

e212..  - x14 + 7*x235 =E= 0;

e213..  - x15 + 7*x236 =E= 0;

e214..  - x16 + 7*x237 =E= 0;

e215..  - x17 + 7*x238 =E= 0;

e216..  - x18 + 7*x239 =E= 0;

e217..  - x20 + 8*x240 =E= 0;

e218..  - x21 + 8*x241 =E= 0;

e219..  - x22 + 8*x242 =E= 0;

e220..  - x23 + 8*x243 =E= 0;

e221..  - x24 + 8*x244 =E= 0;

e222..  - x26 + 6*x245 =E= 0;

e223..  - x27 + 6*x246 =E= 0;

e224..  - x28 + 6*x247 =E= 0;

e225..  - x29 + 6*x248 =E= 0;

e226..  - x30 + 6*x249 =E= 0;

e227..  - x32 + 17*x250 =E= 0;

e228..  - x33 + 17*x251 =E= 0;

e229..  - x34 + 17*x252 =E= 0;

e230..  - x35 + 17*x253 =E= 0;

e231..  - x36 + 17*x254 =E= 0;

e232..  - x7 + 19*x255 =E= 0;

e233..  - x13 + 7*x256 =E= 0;

e234..  - x19 + 8*x257 =E= 0;

e235..  - x25 + 6*x258 =E= 0;

e236..  - x31 + 17*x259 =E= 0;

e237..    x230 + x231 + x232 + x233 + x234 + x255 =E= 1;

e238..    x235 + x236 + x237 + x238 + x239 + x256 =E= 1;

e239..    x240 + x241 + x242 + x243 + x244 + x257 =E= 1;

e240..    x245 + x246 + x247 + x248 + x249 + x258 =E= 1;

e241..    x250 + x251 + x252 + x253 + x254 + x259 =E= 1;

e242..  - 1100*x2 + x69 + x105 + x135 + x165 + x201 + x260 + x261 + x262 + x263
        + x264 =L= 0;

e243..  - 1100*x2 + x75 + x141 + x171 + x207 + x265 + x266 + x267 + x268 + x269
        =L= 0;

e244..  - 1100*x2 + x81 + x111 + x147 + x177 + x213 + x270 + x271 + x272 + x273
        + x274 =L= 0;

e245..  - 1100*x2 + x87 + x117 + x153 + x183 + x219 + x275 + x276 + x277 + x278
        + x279 =L= 0;

e246..  - 1100*x2 + x93 + x123 + x159 + x189 + x225 + x280 + x281 + x282 + x283
        + x284 =L= 0;

e247..  - 1100*x2 + x99 + x129 + x195 + x285 + x286 + x287 + x288 + x289 =L= 0;

e248..  - 1100*x3 + x70 + x106 + x136 + x166 + x202 + x290 + x291 + x292 + x293
        + x294 =L= 0;

e249..  - 1100*x3 + x76 + x142 + x172 + x208 + x295 + x296 + x297 + x298 + x299
        =L= 0;

e250..  - 1100*x3 + x82 + x112 + x148 + x178 + x214 + x300 + x301 + x302 + x303
        + x304 =L= 0;

e251..  - 1100*x3 + x88 + x118 + x154 + x184 + x220 + x305 + x306 + x307 + x308
        + x309 =L= 0;

e252..  - 1100*x3 + x94 + x124 + x160 + x190 + x226 + x310 + x311 + x312 + x313
        + x314 =L= 0;

e253..  - 1100*x3 + x100 + x130 + x196 + x315 + x316 + x317 + x318 + x319 =L= 0
       ;

e254..  - 1100*x4 + x71 + x107 + x137 + x167 + x203 + x320 + x321 + x322 + x323
        + x324 =L= 0;

e255..  - 1100*x4 + x77 + x143 + x173 + x209 + x325 + x326 + x327 + x328 + x329
        =L= 0;

e256..  - 1100*x4 + x83 + x113 + x149 + x179 + x215 + x330 + x331 + x332 + x333
        + x334 =L= 0;

e257..  - 1100*x4 + x89 + x119 + x155 + x185 + x221 + x335 + x336 + x337 + x338
        + x339 =L= 0;

e258..  - 1100*x4 + x95 + x125 + x161 + x191 + x227 + x340 + x341 + x342 + x343
        + x344 =L= 0;

e259..  - 1100*x4 + x101 + x131 + x197 + x345 + x346 + x347 + x348 + x349 =L= 0
       ;

e260..  - 1100*x5 + x72 + x108 + x138 + x168 + x204 + x350 + x351 + x352 + x353
        + x354 =L= 0;

e261..  - 1100*x5 + x78 + x144 + x174 + x210 + x355 + x356 + x357 + x358 + x359
        =L= 0;

e262..  - 1100*x5 + x84 + x114 + x150 + x180 + x216 + x360 + x361 + x362 + x363
        + x364 =L= 0;

e263..  - 1100*x5 + x90 + x120 + x156 + x186 + x222 + x365 + x366 + x367 + x368
        + x369 =L= 0;

e264..  - 1100*x5 + x96 + x126 + x162 + x192 + x228 + x370 + x371 + x372 + x373
        + x374 =L= 0;

e265..  - 1100*x5 + x102 + x132 + x198 + x375 + x376 + x377 + x378 + x379 =L= 0
       ;

e266..  - 1100*x6 + x73 + x109 + x139 + x169 + x205 + x380 + x381 + x382 + x383
        + x384 =L= 0;

e267..  - 1100*x6 + x79 + x145 + x175 + x211 + x385 + x386 + x387 + x388 + x389
        =L= 0;

e268..  - 1100*x6 + x85 + x115 + x151 + x181 + x217 + x390 + x391 + x392 + x393
        + x394 =L= 0;

e269..  - 1100*x6 + x91 + x121 + x157 + x187 + x223 + x395 + x396 + x397 + x398
        + x399 =L= 0;

e270..  - 1100*x6 + x97 + x127 + x163 + x193 + x229 + x400 + x401 + x402 + x403
        + x404 =L= 0;

e271..  - 1100*x6 + x103 + x133 + x199 + x405 + x406 + x407 + x408 + x409 =L= 0
       ;

e272..    0.01*x69 + 0.01*x105 + 0.01*x135 + 0.01*x165 + 0.01*x201 + 0.01*x260
        + 0.01*x261 + 0.01*x262 + 0.01*x263 + 0.01*x264 - x410 =E= 0;

e273..    x75 + x141 + x171 + x207 + x265 + x266 + x267 + x268 + x269 - x411
        =E= 0;

e274..    x81 + x111 + x147 + x177 + x213 + x270 + x271 + x272 + x273 + x274
        - x412 =E= 0;

e275..    x87 + x117 + x153 + x183 + x219 + x275 + x276 + x277 + x278 + x279
        - x413 =E= 0;

e276..    x93 + x123 + x159 + x189 + x225 + x280 + x281 + x282 + x283 + x284
        - x414 =E= 0;

e277..    x99 + x129 + x195 + x285 + x286 + x287 + x288 + x289 - x415 =E= 0;

e278..    x70 + x106 + x136 + x166 + x202 + x290 + x291 + x292 + x293 + x294
        - x416 =E= 0;

e279..    0.01*x76 + 0.01*x142 + 0.01*x172 + 0.01*x208 + 0.01*x295 + 0.01*x296
        + 0.01*x297 + 0.01*x298 + 0.01*x299 - x417 =E= 0;

e280..    x82 + x112 + x148 + x178 + x214 + x300 + x301 + x302 + x303 + x304
        - x418 =E= 0;

e281..    x88 + x118 + x154 + x184 + x220 + x305 + x306 + x307 + x308 + x309
        - x419 =E= 0;

e282..    x94 + x124 + x160 + x190 + x226 + x310 + x311 + x312 + x313 + x314
        - x420 =E= 0;

e283..    x100 + x130 + x196 + x315 + x316 + x317 + x318 + x319 - x421 =E= 0;

e284..    x71 + x107 + x137 + x167 + x203 + x320 + x321 + x322 + x323 + x324
        - x422 =E= 0;

e285..    x77 + x143 + x173 + x209 + x325 + x326 + x327 + x328 + x329 - x423
        =E= 0;

e286..    0.01*x83 + 0.01*x113 + 0.01*x149 + 0.01*x179 + 0.01*x215 + 0.01*x330
        + 0.01*x331 + 0.01*x332 + 0.01*x333 + 0.01*x334 - x424 =E= 0;

e287..    x89 + x119 + x155 + x185 + x221 + x335 + x336 + x337 + x338 + x339
        - x425 =E= 0;

e288..    x95 + x125 + x161 + x191 + x227 + x340 + x341 + x342 + x343 + x344
        - x426 =E= 0;

e289..    x101 + x131 + x197 + x345 + x346 + x347 + x348 + x349 - x427 =E= 0;

e290..    x72 + x108 + x138 + x168 + x204 + x350 + x351 + x352 + x353 + x354
        - x428 =E= 0;

e291..    x78 + x144 + x174 + x210 + x355 + x356 + x357 + x358 + x359 - x429
        =E= 0;

e292..    x84 + x114 + x150 + x180 + x216 + x360 + x361 + x362 + x363 + x364
        - x430 =E= 0;

e293..    0.01*x90 + 0.01*x120 + 0.01*x156 + 0.01*x186 + 0.01*x222 + 0.01*x365
        + 0.01*x366 + 0.01*x367 + 0.01*x368 + 0.01*x369 - x431 =E= 0;

e294..    0.1*x96 + 0.1*x126 + 0.1*x162 + 0.1*x192 + 0.1*x228 + 0.1*x370
        + 0.1*x371 + 0.1*x372 + 0.1*x373 + 0.1*x374 - x432 =E= 0;

e295..    x102 + x132 + x198 + x375 + x376 + x377 + x378 + x379 - x433 =E= 0;

e296..    x73 + x109 + x139 + x169 + x205 + x380 + x381 + x382 + x383 + x384
        - x434 =E= 0;

e297..    x79 + x145 + x175 + x211 + x385 + x386 + x387 + x388 + x389 - x435
        =E= 0;

e298..    x85 + x115 + x151 + x181 + x217 + x390 + x391 + x392 + x393 + x394
        - x436 =E= 0;

e299..    x91 + x121 + x157 + x187 + x223 + x395 + x396 + x397 + x398 + x399
        - x437 =E= 0;

e300..    0.01*x97 + 0.01*x127 + 0.01*x163 + 0.01*x193 + 0.01*x229 + 0.01*x400
        + 0.01*x401 + 0.01*x402 + 0.01*x403 + 0.01*x404 - x438 =E= 0;

e301..    0.01*x103 + 0.01*x133 + 0.01*x199 + 0.01*x405 + 0.01*x406 + 0.01*x407
        + 0.01*x408 + 0.01*x409 - x439 =E= 0;

e302..  - x260 - x290 - x320 - x350 - x380 + x410 - x440 =E= 0;

e303..  - x265 - x295 - x325 - x355 - x385 + x411 - x441 =E= 0;

e304..  - x270 - x300 - x330 - x360 - x390 + x412 - x442 =E= 0;

e305..  - x275 - x305 - x335 - x365 - x395 + x413 - x443 =E= 0;

e306..  - x280 - x310 - x340 - x370 - x400 + x414 - x444 =E= 0;

e307..  - x285 - x315 - x345 - x375 - x405 + x415 - x445 =E= 0;

e308..  - x261 - x291 - x321 - x351 - x381 + x416 - x446 =E= 0;

e309..  - x266 - x296 - x326 - x356 - x386 + x417 - x447 =E= 0;

e310..  - x271 - x301 - x331 - x361 - x391 + x418 - x448 =E= 0;

e311..  - x276 - x306 - x336 - x366 - x396 + x419 - x449 =E= 0;

e312..  - x281 - x311 - x341 - x371 - x401 + x420 - x450 =E= 0;

e313..  - x286 - x316 - x346 - x376 - x406 + x421 - x451 =E= 0;

e314..  - x262 - x292 - x322 - x352 - x382 + x422 - x452 =E= 0;

e315..  - x267 - x297 - x327 - x357 - x387 + x423 - x453 =E= 0;

e316..  - x272 - x302 - x332 - x362 - x392 + x424 - x454 =E= 0;

e317..  - x277 - x307 - x337 - x367 - x397 + x425 - x455 =E= 0;

e318..  - x282 - x312 - x342 - x372 - x402 + x426 - x456 =E= 0;

e319..  - x287 - x317 - x347 - x377 - x407 + x427 - x457 =E= 0;

e320..  - x263 - x293 - x323 - x353 - x383 + x428 - x458 =E= 0;

e321..  - x268 - x298 - x328 - x358 - x388 + x429 - x459 =E= 0;

e322..  - x273 - x303 - x333 - x363 - x393 + x430 - x460 =E= 0;

e323..  - x278 - x308 - x338 - x368 - x398 + x431 - x461 =E= 0;

e324..  - x283 - x313 - x343 - x373 - x403 + x432 - x462 =E= 0;

e325..  - x288 - x318 - x348 - x378 - x408 + x433 - x463 =E= 0;

e326..  - x264 - x294 - x324 - x354 - x384 + x434 - x464 =E= 0;

e327..  - x269 - x299 - x329 - x359 - x389 + x435 - x465 =E= 0;

e328..  - x274 - x304 - x334 - x364 - x394 + x436 - x466 =E= 0;

e329..  - x279 - x309 - x339 - x369 - x399 + x437 - x467 =E= 0;

e330..  - x284 - x314 - x344 - x374 - x404 + x438 - x468 =E= 0;

e331..  - x289 - x319 - x349 - x379 - x409 + x439 - x469 =E= 0;

e332..    x470 + x471 + x472 + x473 + x474 + x475 =E= 1;

e333..    x476 + x477 + x478 + x479 + x480 + x481 =E= 1;

e334..    x482 + x483 + x484 + x485 + x486 + x487 =E= 1;

e335..    x488 + x489 + x490 + x491 + x492 + x493 =E= 1;

e336..    x494 + x495 + x496 + x497 + x498 + x499 =E= 1;

e337..  - 100*x67 + x68 + x104 + x134 + x164 + x200 + x440 + x446 + x452 + x458
        + x464 =L= 0;

e338..  - 100*x67 + x74 + x140 + x170 + x206 + x441 + x447 + x453 + x459 + x465
        =L= 0;

e339..  - 100*x67 + x80 + x110 + x146 + x176 + x212 + x442 + x448 + x454 + x460
        + x466 =L= 0;

e340..  - 100*x67 + x86 + x116 + x152 + x182 + x218 + x443 + x449 + x455 + x461
        + x467 =L= 0;

e341..  - 100*x67 + x92 + x122 + x158 + x188 + x224 + x444 + x450 + x456 + x462
        + x468 =L= 0;

e342..  - 100*x67 + x98 + x128 + x194 + x445 + x451 + x457 + x463 + x469 =L= 0;

e343.. x470*x410 - x260 =E= 0;

e344.. x470*x411 - x265 =E= 0;

e345.. x470*x412 - x270 =E= 0;

e346.. x470*x413 - x275 =E= 0;

e347.. x470*x414 - x280 =E= 0;

e348.. x470*x415 - x285 =E= 0;

e349.. x471*x410 - x290 =E= 0;

e350.. x471*x411 - x295 =E= 0;

e351.. x471*x412 - x300 =E= 0;

e352.. x471*x413 - x305 =E= 0;

e353.. x471*x414 - x310 =E= 0;

e354.. x471*x415 - x315 =E= 0;

e355.. x472*x410 - x320 =E= 0;

e356.. x472*x411 - x325 =E= 0;

e357.. x472*x412 - x330 =E= 0;

e358.. x472*x413 - x335 =E= 0;

e359.. x472*x414 - x340 =E= 0;

e360.. x472*x415 - x345 =E= 0;

e361.. x473*x410 - x350 =E= 0;

e362.. x473*x411 - x355 =E= 0;

e363.. x473*x412 - x360 =E= 0;

e364.. x473*x413 - x365 =E= 0;

e365.. x473*x414 - x370 =E= 0;

e366.. x473*x415 - x375 =E= 0;

e367.. x474*x410 - x380 =E= 0;

e368.. x474*x411 - x385 =E= 0;

e369.. x474*x412 - x390 =E= 0;

e370.. x474*x413 - x395 =E= 0;

e371.. x474*x414 - x400 =E= 0;

e372.. x474*x415 - x405 =E= 0;

e373.. x476*x416 - x261 =E= 0;

e374.. x476*x417 - x266 =E= 0;

e375.. x476*x418 - x271 =E= 0;

e376.. x476*x419 - x276 =E= 0;

e377.. x476*x420 - x281 =E= 0;

e378.. x476*x421 - x286 =E= 0;

e379.. x477*x416 - x291 =E= 0;

e380.. x477*x417 - x296 =E= 0;

e381.. x477*x418 - x301 =E= 0;

e382.. x477*x419 - x306 =E= 0;

e383.. x477*x420 - x311 =E= 0;

e384.. x477*x421 - x316 =E= 0;

e385.. x478*x416 - x321 =E= 0;

e386.. x478*x417 - x326 =E= 0;

e387.. x478*x418 - x331 =E= 0;

e388.. x478*x419 - x336 =E= 0;

e389.. x478*x420 - x341 =E= 0;

e390.. x478*x421 - x346 =E= 0;

e391.. x479*x416 - x351 =E= 0;

e392.. x479*x417 - x356 =E= 0;

e393.. x479*x418 - x361 =E= 0;

e394.. x479*x419 - x366 =E= 0;

e395.. x479*x420 - x371 =E= 0;

e396.. x479*x421 - x376 =E= 0;

e397.. x480*x416 - x381 =E= 0;

e398.. x480*x417 - x386 =E= 0;

e399.. x480*x418 - x391 =E= 0;

e400.. x480*x419 - x396 =E= 0;

e401.. x480*x420 - x401 =E= 0;

e402.. x480*x421 - x406 =E= 0;

e403.. x482*x422 - x262 =E= 0;

e404.. x482*x423 - x267 =E= 0;

e405.. x482*x424 - x272 =E= 0;

e406.. x482*x425 - x277 =E= 0;

e407.. x482*x426 - x282 =E= 0;

e408.. x482*x427 - x287 =E= 0;

e409.. x483*x422 - x292 =E= 0;

e410.. x483*x423 - x297 =E= 0;

e411.. x483*x424 - x302 =E= 0;

e412.. x483*x425 - x307 =E= 0;

e413.. x483*x426 - x312 =E= 0;

e414.. x483*x427 - x317 =E= 0;

e415.. x484*x422 - x322 =E= 0;

e416.. x484*x423 - x327 =E= 0;

e417.. x484*x424 - x332 =E= 0;

e418.. x484*x425 - x337 =E= 0;

e419.. x484*x426 - x342 =E= 0;

e420.. x484*x427 - x347 =E= 0;

e421.. x485*x422 - x352 =E= 0;

e422.. x485*x423 - x357 =E= 0;

e423.. x485*x424 - x362 =E= 0;

e424.. x485*x425 - x367 =E= 0;

e425.. x485*x426 - x372 =E= 0;

e426.. x485*x427 - x377 =E= 0;

e427.. x486*x422 - x382 =E= 0;

e428.. x486*x423 - x387 =E= 0;

e429.. x486*x424 - x392 =E= 0;

e430.. x486*x425 - x397 =E= 0;

e431.. x486*x426 - x402 =E= 0;

e432.. x486*x427 - x407 =E= 0;

e433.. x488*x428 - x263 =E= 0;

e434.. x488*x429 - x268 =E= 0;

e435.. x488*x430 - x273 =E= 0;

e436.. x488*x431 - x278 =E= 0;

e437.. x488*x432 - x283 =E= 0;

e438.. x488*x433 - x288 =E= 0;

e439.. x489*x428 - x293 =E= 0;

e440.. x489*x429 - x298 =E= 0;

e441.. x489*x430 - x303 =E= 0;

e442.. x489*x431 - x308 =E= 0;

e443.. x489*x432 - x313 =E= 0;

e444.. x489*x433 - x318 =E= 0;

e445.. x490*x428 - x323 =E= 0;

e446.. x490*x429 - x328 =E= 0;

e447.. x490*x430 - x333 =E= 0;

e448.. x490*x431 - x338 =E= 0;

e449.. x490*x432 - x343 =E= 0;

e450.. x490*x433 - x348 =E= 0;

e451.. x491*x428 - x353 =E= 0;

e452.. x491*x429 - x358 =E= 0;

e453.. x491*x430 - x363 =E= 0;

e454.. x491*x431 - x368 =E= 0;

e455.. x491*x432 - x373 =E= 0;

e456.. x491*x433 - x378 =E= 0;

e457.. x492*x428 - x383 =E= 0;

e458.. x492*x429 - x388 =E= 0;

e459.. x492*x430 - x393 =E= 0;

e460.. x492*x431 - x398 =E= 0;

e461.. x492*x432 - x403 =E= 0;

e462.. x492*x433 - x408 =E= 0;

e463.. x494*x434 - x264 =E= 0;

e464.. x494*x435 - x269 =E= 0;

e465.. x494*x436 - x274 =E= 0;

e466.. x494*x437 - x279 =E= 0;

e467.. x494*x438 - x284 =E= 0;

e468.. x494*x439 - x289 =E= 0;

e469.. x495*x434 - x294 =E= 0;

e470.. x495*x435 - x299 =E= 0;

e471.. x495*x436 - x304 =E= 0;

e472.. x495*x437 - x309 =E= 0;

e473.. x495*x438 - x314 =E= 0;

e474.. x495*x439 - x319 =E= 0;

e475.. x496*x434 - x324 =E= 0;

e476.. x496*x435 - x329 =E= 0;

e477.. x496*x436 - x334 =E= 0;

e478.. x496*x437 - x339 =E= 0;

e479.. x496*x438 - x344 =E= 0;

e480.. x496*x439 - x349 =E= 0;

e481.. x497*x434 - x354 =E= 0;

e482.. x497*x435 - x359 =E= 0;

e483.. x497*x436 - x364 =E= 0;

e484.. x497*x437 - x369 =E= 0;

e485.. x497*x438 - x374 =E= 0;

e486.. x497*x439 - x379 =E= 0;

e487.. x498*x434 - x384 =E= 0;

e488.. x498*x435 - x389 =E= 0;

e489.. x498*x436 - x394 =E= 0;

e490.. x498*x437 - x399 =E= 0;

e491.. x498*x438 - x404 =E= 0;

e492.. x498*x439 - x409 =E= 0;

e493.. x475*x410 - x440 =E= 0;

e494.. x475*x411 - x441 =E= 0;

e495.. x475*x412 - x442 =E= 0;

e496.. x475*x413 - x443 =E= 0;

e497.. x475*x414 - x444 =E= 0;

e498.. x475*x415 - x445 =E= 0;

e499.. x481*x416 - x446 =E= 0;

e500.. x481*x417 - x447 =E= 0;

e501.. x481*x418 - x448 =E= 0;

e502.. x481*x419 - x449 =E= 0;

e503.. x481*x420 - x450 =E= 0;

e504.. x481*x421 - x451 =E= 0;

e505.. x487*x422 - x452 =E= 0;

e506.. x487*x423 - x453 =E= 0;

e507.. x487*x424 - x454 =E= 0;

e508.. x487*x425 - x455 =E= 0;

e509.. x487*x426 - x456 =E= 0;

e510.. x487*x427 - x457 =E= 0;

e511.. x493*x428 - x458 =E= 0;

e512.. x493*x429 - x459 =E= 0;

e513.. x493*x430 - x460 =E= 0;

e514.. x493*x431 - x461 =E= 0;

e515.. x493*x432 - x462 =E= 0;

e516.. x493*x433 - x463 =E= 0;

e517.. x499*x434 - x464 =E= 0;

e518.. x499*x435 - x465 =E= 0;

e519.. x499*x436 - x466 =E= 0;

e520.. x499*x437 - x467 =E= 0;

e521.. x499*x438 - x468 =E= 0;

e522.. x499*x439 - x469 =E= 0;

e523.. x470*x2 - x37 =E= 0;

e524.. x471*x2 - x42 =E= 0;

e525.. x472*x2 - x47 =E= 0;

e526.. x473*x2 - x52 =E= 0;

e527.. x474*x2 - x57 =E= 0;

e528.. x476*x3 - x38 =E= 0;

e529.. x477*x3 - x43 =E= 0;

e530.. x478*x3 - x48 =E= 0;

e531.. x479*x3 - x53 =E= 0;

e532.. x480*x3 - x58 =E= 0;

e533.. x482*x4 - x39 =E= 0;

e534.. x483*x4 - x44 =E= 0;

e535.. x484*x4 - x49 =E= 0;

e536.. x485*x4 - x54 =E= 0;

e537.. x486*x4 - x59 =E= 0;

e538.. x488*x5 - x40 =E= 0;

e539.. x489*x5 - x45 =E= 0;

e540.. x490*x5 - x50 =E= 0;

e541.. x491*x5 - x55 =E= 0;

e542.. x492*x5 - x60 =E= 0;

e543.. x494*x6 - x41 =E= 0;

e544.. x495*x6 - x46 =E= 0;

e545.. x496*x6 - x51 =E= 0;

e546.. x497*x6 - x56 =E= 0;

e547.. x498*x6 - x61 =E= 0;

e548.. x475*x2 - x62 =E= 0;

e549.. x481*x3 - x63 =E= 0;

e550.. x487*x4 - x64 =E= 0;

e551.. x493*x5 - x65 =E= 0;

e552.. x499*x6 - x66 =E= 0;

* set non-default bounds
x2.up = 1000000;
x3.up = 1000000;
x4.up = 1000000;
x5.up = 1000000;
x6.up = 1000000;
x7.up = 1000000;
x8.up = 1000000;
x9.up = 1000000;
x10.up = 1000000;
x11.up = 1000000;
x12.up = 1000000;
x13.up = 1000000;
x14.up = 1000000;
x15.up = 1000000;
x16.up = 1000000;
x17.up = 1000000;
x18.up = 1000000;
x19.up = 1000000;
x20.up = 1000000;
x21.up = 1000000;
x22.up = 1000000;
x23.up = 1000000;
x24.up = 1000000;
x25.up = 1000000;
x26.up = 1000000;
x27.up = 1000000;
x28.up = 1000000;
x29.up = 1000000;
x30.up = 1000000;
x31.up = 1000000;
x32.up = 1000000;
x33.up = 1000000;
x34.up = 1000000;
x35.up = 1000000;
x36.up = 1000000;
x37.up = 1000000;
x38.up = 1000000;
x39.up = 1000000;
x40.up = 1000000;
x41.up = 1000000;
x42.up = 1000000;
x43.up = 1000000;
x44.up = 1000000;
x45.up = 1000000;
x46.up = 1000000;
x47.up = 1000000;
x48.up = 1000000;
x49.up = 1000000;
x50.up = 1000000;
x51.up = 1000000;
x52.up = 1000000;
x53.up = 1000000;
x54.up = 1000000;
x55.up = 1000000;
x56.up = 1000000;
x57.up = 1000000;
x58.up = 1000000;
x59.up = 1000000;
x60.up = 1000000;
x61.up = 1000000;
x62.up = 1000000;
x63.up = 1000000;
x64.up = 1000000;
x65.up = 1000000;
x66.up = 1000000;
x67.up = 1000000;
x68.up = 1000000;
x69.up = 1000000;
x70.up = 1000000;
x71.up = 1000000;
x72.up = 1000000;
x73.up = 1000000;
x74.up = 1000000;
x75.up = 1000000;
x76.up = 1000000;
x77.up = 1000000;
x78.up = 1000000;
x79.up = 1000000;
x80.up = 1000000;
x81.up = 1000000;
x82.up = 1000000;
x83.up = 1000000;
x84.up = 1000000;
x85.up = 1000000;
x86.up = 1000000;
x87.up = 1000000;
x88.up = 1000000;
x89.up = 1000000;
x90.up = 1000000;
x91.up = 1000000;
x92.up = 1000000;
x93.up = 1000000;
x94.up = 1000000;
x95.up = 1000000;
x96.up = 1000000;
x97.up = 1000000;
x98.up = 1000000;
x99.up = 1000000;
x100.up = 1000000;
x101.up = 1000000;
x102.up = 1000000;
x103.up = 1000000;
x104.up = 1000000;
x105.up = 1000000;
x106.up = 1000000;
x107.up = 1000000;
x108.up = 1000000;
x109.up = 1000000;
x110.up = 1000000;
x111.up = 1000000;
x112.up = 1000000;
x113.up = 1000000;
x114.up = 1000000;
x115.up = 1000000;
x116.up = 1000000;
x117.up = 1000000;
x118.up = 1000000;
x119.up = 1000000;
x120.up = 1000000;
x121.up = 1000000;
x122.up = 1000000;
x123.up = 1000000;
x124.up = 1000000;
x125.up = 1000000;
x126.up = 1000000;
x127.up = 1000000;
x128.up = 1000000;
x129.up = 1000000;
x130.up = 1000000;
x131.up = 1000000;
x132.up = 1000000;
x133.up = 1000000;
x134.up = 1000000;
x135.up = 1000000;
x136.up = 1000000;
x137.up = 1000000;
x138.up = 1000000;
x139.up = 1000000;
x140.up = 1000000;
x141.up = 1000000;
x142.up = 1000000;
x143.up = 1000000;
x144.up = 1000000;
x145.up = 1000000;
x146.up = 1000000;
x147.up = 1000000;
x148.up = 1000000;
x149.up = 1000000;
x150.up = 1000000;
x151.up = 1000000;
x152.up = 1000000;
x153.up = 1000000;
x154.up = 1000000;
x155.up = 1000000;
x156.up = 1000000;
x157.up = 1000000;
x158.up = 1000000;
x159.up = 1000000;
x160.up = 1000000;
x161.up = 1000000;
x162.up = 1000000;
x163.up = 1000000;
x164.up = 1000000;
x165.up = 1000000;
x166.up = 1000000;
x167.up = 1000000;
x168.up = 1000000;
x169.up = 1000000;
x170.up = 1000000;
x171.up = 1000000;
x172.up = 1000000;
x173.up = 1000000;
x174.up = 1000000;
x175.up = 1000000;
x176.up = 1000000;
x177.up = 1000000;
x178.up = 1000000;
x179.up = 1000000;
x180.up = 1000000;
x181.up = 1000000;
x182.up = 1000000;
x183.up = 1000000;
x184.up = 1000000;
x185.up = 1000000;
x186.up = 1000000;
x187.up = 1000000;
x188.up = 1000000;
x189.up = 1000000;
x190.up = 1000000;
x191.up = 1000000;
x192.up = 1000000;
x193.up = 1000000;
x194.up = 1000000;
x195.up = 1000000;
x196.up = 1000000;
x197.up = 1000000;
x198.up = 1000000;
x199.up = 1000000;
x200.up = 1000000;
x201.up = 1000000;
x202.up = 1000000;
x203.up = 1000000;
x204.up = 1000000;
x205.up = 1000000;
x206.up = 1000000;
x207.up = 1000000;
x208.up = 1000000;
x209.up = 1000000;
x210.up = 1000000;
x211.up = 1000000;
x212.up = 1000000;
x213.up = 1000000;
x214.up = 1000000;
x215.up = 1000000;
x216.up = 1000000;
x217.up = 1000000;
x218.up = 1000000;
x219.up = 1000000;
x220.up = 1000000;
x221.up = 1000000;
x222.up = 1000000;
x223.up = 1000000;
x224.up = 1000000;
x225.up = 1000000;
x226.up = 1000000;
x227.up = 1000000;
x228.up = 1000000;
x229.up = 1000000;
x230.up = 1000000;
x231.up = 1000000;
x232.up = 1000000;
x233.up = 1000000;
x234.up = 1000000;
x235.up = 1000000;
x236.up = 1000000;
x237.up = 1000000;
x238.up = 1000000;
x239.up = 1000000;
x240.up = 1000000;
x241.up = 1000000;
x242.up = 1000000;
x243.up = 1000000;
x244.up = 1000000;
x245.up = 1000000;
x246.up = 1000000;
x247.up = 1000000;
x248.up = 1000000;
x249.up = 1000000;
x250.up = 1000000;
x251.up = 1000000;
x252.up = 1000000;
x253.up = 1000000;
x254.up = 1000000;
x255.up = 1000000;
x256.up = 1000000;
x257.up = 1000000;
x258.up = 1000000;
x259.up = 1000000;
x260.up = 1000000;
x261.up = 1000000;
x262.up = 1000000;
x263.up = 1000000;
x264.up = 1000000;
x265.up = 1000000;
x266.up = 1000000;
x267.up = 1000000;
x268.up = 1000000;
x269.up = 1000000;
x270.up = 1000000;
x271.up = 1000000;
x272.up = 1000000;
x273.up = 1000000;
x274.up = 1000000;
x275.up = 1000000;
x276.up = 1000000;
x277.up = 1000000;
x278.up = 1000000;
x279.up = 1000000;
x280.up = 1000000;
x281.up = 1000000;
x282.up = 1000000;
x283.up = 1000000;
x284.up = 1000000;
x285.up = 1000000;
x286.up = 1000000;
x287.up = 1000000;
x288.up = 1000000;
x289.up = 1000000;
x290.up = 1000000;
x291.up = 1000000;
x292.up = 1000000;
x293.up = 1000000;
x294.up = 1000000;
x295.up = 1000000;
x296.up = 1000000;
x297.up = 1000000;
x298.up = 1000000;
x299.up = 1000000;
x300.up = 1000000;
x301.up = 1000000;
x302.up = 1000000;
x303.up = 1000000;
x304.up = 1000000;
x305.up = 1000000;
x306.up = 1000000;
x307.up = 1000000;
x308.up = 1000000;
x309.up = 1000000;
x310.up = 1000000;
x311.up = 1000000;
x312.up = 1000000;
x313.up = 1000000;
x314.up = 1000000;
x315.up = 1000000;
x316.up = 1000000;
x317.up = 1000000;
x318.up = 1000000;
x319.up = 1000000;
x320.up = 1000000;
x321.up = 1000000;
x322.up = 1000000;
x323.up = 1000000;
x324.up = 1000000;
x325.up = 1000000;
x326.up = 1000000;
x327.up = 1000000;
x328.up = 1000000;
x329.up = 1000000;
x330.up = 1000000;
x331.up = 1000000;
x332.up = 1000000;
x333.up = 1000000;
x334.up = 1000000;
x335.up = 1000000;
x336.up = 1000000;
x337.up = 1000000;
x338.up = 1000000;
x339.up = 1000000;
x340.up = 1000000;
x341.up = 1000000;
x342.up = 1000000;
x343.up = 1000000;
x344.up = 1000000;
x345.up = 1000000;
x346.up = 1000000;
x347.up = 1000000;
x348.up = 1000000;
x349.up = 1000000;
x350.up = 1000000;
x351.up = 1000000;
x352.up = 1000000;
x353.up = 1000000;
x354.up = 1000000;
x355.up = 1000000;
x356.up = 1000000;
x357.up = 1000000;
x358.up = 1000000;
x359.up = 1000000;
x360.up = 1000000;
x361.up = 1000000;
x362.up = 1000000;
x363.up = 1000000;
x364.up = 1000000;
x365.up = 1000000;
x366.up = 1000000;
x367.up = 1000000;
x368.up = 1000000;
x369.up = 1000000;
x370.up = 1000000;
x371.up = 1000000;
x372.up = 1000000;
x373.up = 1000000;
x374.up = 1000000;
x375.up = 1000000;
x376.up = 1000000;
x377.up = 1000000;
x378.up = 1000000;
x379.up = 1000000;
x380.up = 1000000;
x381.up = 1000000;
x382.up = 1000000;
x383.up = 1000000;
x384.up = 1000000;
x385.up = 1000000;
x386.up = 1000000;
x387.up = 1000000;
x388.up = 1000000;
x389.up = 1000000;
x390.up = 1000000;
x391.up = 1000000;
x392.up = 1000000;
x393.up = 1000000;
x394.up = 1000000;
x395.up = 1000000;
x396.up = 1000000;
x397.up = 1000000;
x398.up = 1000000;
x399.up = 1000000;
x400.up = 1000000;
x401.up = 1000000;
x402.up = 1000000;
x403.up = 1000000;
x404.up = 1000000;
x405.up = 1000000;
x406.up = 1000000;
x407.up = 1000000;
x408.up = 1000000;
x409.up = 1000000;
x410.up = 1000000;
x411.up = 1000000;
x412.up = 1000000;
x413.up = 1000000;
x414.up = 1000000;
x415.up = 1000000;
x416.up = 1000000;
x417.up = 1000000;
x418.up = 1000000;
x419.up = 1000000;
x420.up = 1000000;
x421.up = 1000000;
x422.up = 1000000;
x423.up = 1000000;
x424.up = 1000000;
x425.up = 1000000;
x426.up = 1000000;
x427.up = 1000000;
x428.up = 1000000;
x429.up = 1000000;
x430.up = 1000000;
x431.up = 1000000;
x432.up = 1000000;
x433.up = 1000000;
x434.up = 1000000;
x435.up = 1000000;
x436.up = 1000000;
x437.up = 1000000;
x438.up = 1000000;
x439.up = 1000000;
x440.up = 1000000;
x441.up = 1000000;
x442.up = 1000000;
x443.up = 1000000;
x444.up = 1000000;
x445.up = 1000000;
x446.up = 1000000;
x447.up = 1000000;
x448.up = 1000000;
x449.up = 1000000;
x450.up = 1000000;
x451.up = 1000000;
x452.up = 1000000;
x453.up = 1000000;
x454.up = 1000000;
x455.up = 1000000;
x456.up = 1000000;
x457.up = 1000000;
x458.up = 1000000;
x459.up = 1000000;
x460.up = 1000000;
x461.up = 1000000;
x462.up = 1000000;
x463.up = 1000000;
x464.up = 1000000;
x465.up = 1000000;
x466.up = 1000000;
x467.up = 1000000;
x468.up = 1000000;
x469.up = 1000000;
x470.up = 1000000;
x471.up = 1000000;
x472.up = 1000000;
x473.up = 1000000;
x474.up = 1000000;
x475.up = 1000000;
x476.up = 1000000;
x477.up = 1000000;
x478.up = 1000000;
x479.up = 1000000;
x480.up = 1000000;
x481.up = 1000000;
x482.up = 1000000;
x483.up = 1000000;
x484.up = 1000000;
x485.up = 1000000;
x486.up = 1000000;
x487.up = 1000000;
x488.up = 1000000;
x489.up = 1000000;
x490.up = 1000000;
x491.up = 1000000;
x492.up = 1000000;
x493.up = 1000000;
x494.up = 1000000;
x495.up = 1000000;
x496.up = 1000000;
x497.up = 1000000;
x498.up = 1000000;
x499.up = 1000000;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set QCP $set QCP QCP
Solve m using %QCP% minimizing objvar;





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