QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3854

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 94.61120710 (gdx, sol)
Solution point infeasibility solinfeasibility 5.0932e-11
Donor donor Stefan Vigerske
#Variables nvars 680
#Binary Variables nbinvars 40
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 640
#Nonlinear Variables nnlvars 640
#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 40
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 306
#Linear Constraints nlincons 266
#Quadratic Constraints nquadcons 40
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 40
#Nonzeros in Jacobian njacobiannz 2520
#Nonlinear Nonzeros in Jacobian njacobiannlnz 640
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 1200
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 40
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 16
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 16
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 16.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3854.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        307      226       40       41        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        681      641       40        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2561     1921      640        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
          ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
          ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
          ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
          ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583
          ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596
          ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609
          ,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622
          ,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635
          ,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648
          ,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661
          ,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674
          ,x675,x676,x677,x678,x679,x680,x681;

Positive Variables  x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53,x54,x55
          ,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70,x71,x72
          ,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87,x88,x89
          ,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103,x104
          ,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116,x117
          ,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129,x130
          ,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142,x143
          ,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155,x156
          ,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168,x169
          ,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181,x182
          ,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194,x195
          ,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207,x208
          ,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220,x221
          ,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233,x234
          ,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246,x247
          ,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259,x260
          ,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272,x273
          ,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285,x286
          ,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298,x299
          ,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311,x312
          ,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324,x325
          ,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337,x338
          ,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350,x351
          ,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363,x364
          ,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376,x377
          ,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389,x390
          ,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402,x403
          ,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415,x416
          ,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428,x429
          ,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441,x442
          ,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454,x455
          ,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467,x468
          ,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480,x481
          ,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493,x494
          ,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506,x507
          ,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519,x520
          ,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532,x533
          ,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545,x546
          ,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558,x559
          ,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571,x572
          ,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584,x585
          ,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597,x598
          ,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610,x611
          ,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623,x624
          ,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636,x637
          ,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649,x650
          ,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662,x663
          ,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675,x676
          ,x677,x678,x679,x680,x681;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41;

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;


e1..  - objvar + 3.556098535*b2 + 3.041877037*b3 + 3.589685587*b4
      + 3.905780389*b5 + 3.556098535*b6 + 1.217492332*b7 + 2.503715254*b8
      + 1.063607104*b9 + 1.217492332*b10 + 2.503715254*b11 + 3.633719815*b12
      + 2.125478257*b13 + 3.041877037*b14 + 2.125478257*b15 + 1.784531452*b16
      + 3.064279153*b17 + 1.50214444*b18 + 3.064279153*b19 + 2.200931005*b20
      + 1.190857108*b21 + 1.784531452*b22 + 2.200931005*b23 + 2.108870677*b24
      + 3.589685587*b25 + 2.108870677*b26 + 3.282989665*b27 + 3.282989665*b28
      + 1.220939503*b29 + 3.902013532*b30 + 3.633719815*b31 + 1.50214444*b32
      + 1.220939503*b33 + 3.902013532*b34 + 3.510868159*b35 + 1.190857108*b36
      + 2.805504934*b37 + 3.905780389*b38 + 1.063607104*b39 + 3.510868159*b40
      + 2.805504934*b41 =E= 0;

e2..  - x42 - x43 - x44 - x45 + x46 + x47 + x48 + x49 =E= -203;

e3..  - x50 - x51 - x52 - x53 + x54 + x55 + x56 + x57 =E= 7;

e4..  - x58 - x59 - x60 - x61 + x62 + x63 + x64 + x65 =E= 18;

e5..  - x66 - x67 - x68 - x69 + x70 + x71 + x72 + x73 =E= 23;

e6..  - x74 - x75 - x76 - x77 + x78 + x79 + x80 + x81 =E= 8;

e7..  - x82 - x83 - x84 - x85 + x86 + x87 + x88 + x89 =E= 22;

e8..  - x90 - x91 - x92 - x93 + x94 + x95 + x96 + x97 =E= 17;

e9..  - x98 - x99 - x100 - x101 + x102 + x103 + x104 + x105 =E= 13;

e10..  - x106 - x107 - x108 - x109 + x110 + x111 + x112 + x113 =E= 9;

e11..  - x114 - x115 - x116 - x117 + x118 + x119 + x120 + x121 =E= 6;

e12..  - x122 - x123 - x124 - x125 + x126 + x127 + x128 + x129 =E= 19;

e13..  - x130 - x131 - x132 - x133 + x134 + x135 + x136 + x137 =E= 5;

e14..  - x138 - x139 - x140 - x141 + x142 + x143 + x144 + x145 =E= 11;

e15..  - x146 - x147 - x148 - x149 + x150 + x151 + x152 + x153 =E= 7;

e16..  - x154 - x155 - x156 - x157 + x158 + x159 + x160 + x161 =E= 6;

e17..    x42 - x46 - x162 + x163 =E= 7;

e18..    x50 - x54 - x164 + x165 =E= -191;

e19..    x58 - x62 - x166 + x167 =E= 5;

e20..    x66 - x70 - x168 + x169 =E= 16;

e21..    x74 - x78 - x170 + x171 =E= 20;

e22..    x82 - x86 - x172 + x173 =E= 15;

e23..    x90 - x94 - x174 + x175 =E= 21;

e24..    x98 - x102 - x176 + x177 =E= 6;

e25..    x106 - x110 - x178 + x179 =E= 23;

e26..    x114 - x118 - x180 + x181 =E= 10;

e27..    x122 - x126 - x182 + x183 =E= 9;

e28..    x130 - x134 - x184 + x185 =E= 8;

e29..    x138 - x142 - x186 + x187 =E= 10;

e30..    x146 - x150 - x188 + x189 =E= 12;

e31..    x154 - x158 - x190 + x191 =E= 19;

e32..  - x192 - x193 + x194 + x195 =E= 21;

e33..  - x196 - x197 + x198 + x199 =E= 10;

e34..  - x200 - x201 + x202 + x203 =E= -221;

e35..  - x204 - x205 + x206 + x207 =E= 8;

e36..  - x208 - x209 + x210 + x211 =E= 7;

e37..  - x212 - x213 + x214 + x215 =E= 20;

e38..  - x216 - x217 + x218 + x219 =E= 23;

e39..  - x220 - x221 + x222 + x223 =E= 12;

e40..  - x224 - x225 + x226 + x227 =E= 21;

e41..  - x228 - x229 + x230 + x231 =E= 21;

e42..  - x232 - x233 + x234 + x235 =E= 24;

e43..  - x236 - x237 + x238 + x239 =E= 23;

e44..  - x240 - x241 + x242 + x243 =E= 14;

e45..  - x244 - x245 + x246 + x247 =E= 12;

e46..  - x248 - x249 + x250 + x251 =E= 6;

e47..    x162 - x163 + x192 - x194 - x252 + x253 =E= 17;

e48..    x164 - x165 + x196 - x198 - x254 + x255 =E= 10;

e49..    x166 - x167 + x200 - x202 - x256 + x257 =E= 17;

e50..    x168 - x169 + x204 - x206 - x258 + x259 =E= -211;

e51..    x170 - x171 + x208 - x210 - x260 + x261 =E= 12;

e52..    x172 - x173 + x212 - x214 - x262 + x263 =E= 22;

e53..    x174 - x175 + x216 - x218 - x264 + x265 =E= 24;

e54..    x176 - x177 + x220 - x222 - x266 + x267 =E= 22;

e55..    x178 - x179 + x224 - x226 - x268 + x269 =E= 21;

e56..    x180 - x181 + x228 - x230 - x270 + x271 =E= 17;

e57..    x182 - x183 + x232 - x234 - x272 + x273 =E= 5;

e58..    x184 - x185 + x236 - x238 - x274 + x275 =E= 16;

e59..    x186 - x187 + x240 - x242 - x276 + x277 =E= 19;

e60..    x188 - x189 + x244 - x246 - x278 + x279 =E= 19;

e61..    x190 - x191 + x248 - x250 - x280 + x281 =E= 23;

e62..  - x282 + x283 =E= 23;

e63..  - x284 + x285 =E= 15;

e64..  - x286 + x287 =E= 23;

e65..  - x288 + x289 =E= 8;

e66..  - x290 + x291 =E= -159;

e67..  - x292 + x293 =E= 7;

e68..  - x294 + x295 =E= 21;

e69..  - x296 + x297 =E= 9;

e70..  - x298 + x299 =E= 12;

e71..  - x300 + x301 =E= 17;

e72..  - x302 + x303 =E= 14;

e73..  - x304 + x305 =E= 12;

e74..  - x306 + x307 =E= 22;

e75..  - x308 + x309 =E= 8;

e76..  - x310 + x311 =E= 19;

e77..    x43 - x47 + x282 - x283 - x312 + x313 =E= 16;

e78..    x51 - x55 + x284 - x285 - x314 + x315 =E= 10;

e79..    x59 - x63 + x286 - x287 - x316 + x317 =E= 22;

e80..    x67 - x71 + x288 - x289 - x318 + x319 =E= 16;

e81..    x75 - x79 + x290 - x291 - x320 + x321 =E= 13;

e82..    x83 - x87 + x292 - x293 - x322 + x323 =E= -257;

e83..    x91 - x95 + x294 - x295 - x324 + x325 =E= 6;

e84..    x99 - x103 + x296 - x297 - x326 + x327 =E= 21;

e85..    x107 - x111 + x298 - x299 - x328 + x329 =E= 11;

e86..    x115 - x119 + x300 - x301 - x330 + x331 =E= 24;

e87..    x123 - x127 + x302 - x303 - x332 + x333 =E= 7;

e88..    x131 - x135 + x304 - x305 - x334 + x335 =E= 15;

e89..    x139 - x143 + x306 - x307 - x336 + x337 =E= 6;

e90..    x147 - x151 + x308 - x309 - x338 + x339 =E= 18;

e91..    x155 - x159 + x310 - x311 - x340 + x341 =E= 17;

e92..  - x342 - x343 + x344 + x345 =E= 9;

e93..  - x346 - x347 + x348 + x349 =E= 6;

e94..  - x350 - x351 + x352 + x353 =E= 20;

e95..  - x354 - x355 + x356 + x357 =E= 13;

e96..  - x358 - x359 + x360 + x361 =E= 17;

e97..  - x362 - x363 + x364 + x365 =E= 23;

e98..  - x366 - x367 + x368 + x369 =E= -236;

e99..  - x370 - x371 + x372 + x373 =E= 13;

e100..  - x374 - x375 + x376 + x377 =E= 6;

e101..  - x378 - x379 + x380 + x381 =E= 24;

e102..  - x382 - x383 + x384 + x385 =E= 16;

e103..  - x386 - x387 + x388 + x389 =E= 9;

e104..  - x390 - x391 + x392 + x393 =E= 12;

e105..  - x394 - x395 + x396 + x397 =E= 22;

e106..  - x398 - x399 + x400 + x401 =E= 21;

e107..    x342 - x344 - x402 - x403 + x404 + x405 =E= 6;

e108..    x346 - x348 - x406 - x407 + x408 + x409 =E= 14;

e109..    x350 - x352 - x410 - x411 + x412 + x413 =E= 6;

e110..    x354 - x356 - x414 - x415 + x416 + x417 =E= 21;

e111..    x358 - x360 - x418 - x419 + x420 + x421 =E= 20;

e112..    x362 - x364 - x422 - x423 + x424 + x425 =E= 20;

e113..    x366 - x368 - x426 - x427 + x428 + x429 =E= 13;

e114..    x370 - x372 - x430 - x431 + x432 + x433 =E= -206;

e115..    x374 - x376 - x434 - x435 + x436 + x437 =E= 15;

e116..    x378 - x380 - x438 - x439 + x440 + x441 =E= 16;

e117..    x382 - x384 - x442 - x443 + x444 + x445 =E= 22;

e118..    x386 - x388 - x446 - x447 + x448 + x449 =E= 18;

e119..    x390 - x392 - x450 - x451 + x452 + x453 =E= 19;

e120..    x394 - x396 - x454 - x455 + x456 + x457 =E= 7;

e121..    x398 - x400 - x458 - x459 + x460 + x461 =E= 10;

e122..    x312 - x313 + x402 - x404 - x462 + x463 =E= 9;

e123..    x314 - x315 + x406 - x408 - x464 + x465 =E= 22;

e124..    x316 - x317 + x410 - x412 - x466 + x467 =E= 6;

e125..    x318 - x319 + x414 - x416 - x468 + x469 =E= 8;

e126..    x320 - x321 + x418 - x420 - x470 + x471 =E= 7;

e127..    x322 - x323 + x422 - x424 - x472 + x473 =E= 25;

e128..    x324 - x325 + x426 - x428 - x474 + x475 =E= 22;

e129..    x326 - x327 + x430 - x432 - x476 + x477 =E= 20;

e130..    x328 - x329 + x434 - x436 - x478 + x479 =E= -199;

e131..    x330 - x331 + x438 - x440 - x480 + x481 =E= 23;

e132..    x332 - x333 + x442 - x444 - x482 + x483 =E= 25;

e133..    x334 - x335 + x446 - x448 - x484 + x485 =E= 11;

e134..    x336 - x337 + x450 - x452 - x486 + x487 =E= 8;

e135..    x338 - x339 + x454 - x456 - x488 + x489 =E= 16;

e136..    x340 - x341 + x458 - x460 - x490 + x491 =E= 13;

e137..    x44 - x48 + x462 - x463 - x492 + x493 =E= 19;

e138..    x52 - x56 + x464 - x465 - x494 + x495 =E= 19;

e139..    x60 - x64 + x466 - x467 - x496 + x497 =E= 23;

e140..    x68 - x72 + x468 - x469 - x498 + x499 =E= 14;

e141..    x76 - x80 + x470 - x471 - x500 + x501 =E= 6;

e142..    x84 - x88 + x472 - x473 - x502 + x503 =E= 23;

e143..    x92 - x96 + x474 - x475 - x504 + x505 =E= 9;

e144..    x100 - x104 + x476 - x477 - x506 + x507 =E= 6;

e145..    x108 - x112 + x478 - x479 - x508 + x509 =E= 8;

e146..    x116 - x120 + x480 - x481 - x510 + x511 =E= -238;

e147..    x124 - x128 + x482 - x483 - x512 + x513 =E= 24;

e148..    x132 - x136 + x484 - x485 - x514 + x515 =E= 8;

e149..    x140 - x144 + x486 - x487 - x516 + x517 =E= 9;

e150..    x148 - x152 + x488 - x489 - x518 + x519 =E= 16;

e151..    x156 - x160 + x490 - x491 - x520 + x521 =E= 15;

e152..    x492 - x493 - x522 + x523 =E= 15;

e153..    x494 - x495 - x524 + x525 =E= 6;

e154..    x496 - x497 - x526 + x527 =E= 17;

e155..    x498 - x499 - x528 + x529 =E= 22;

e156..    x500 - x501 - x530 + x531 =E= 17;

e157..    x502 - x503 - x532 + x533 =E= 24;

e158..    x504 - x505 - x534 + x535 =E= 19;

e159..    x506 - x507 - x536 + x537 =E= 25;

e160..    x508 - x509 - x538 + x539 =E= 5;

e161..    x510 - x511 - x540 + x541 =E= 19;

e162..    x512 - x513 - x542 + x543 =E= -220;

e163..    x514 - x515 - x544 + x545 =E= 22;

e164..    x516 - x517 - x546 + x547 =E= 22;

e165..    x518 - x519 - x548 + x549 =E= 23;

e166..    x520 - x521 - x550 + x551 =E= 9;

e167..  - x552 + x553 =E= 12;

e168..  - x554 + x555 =E= 25;

e169..  - x556 + x557 =E= 14;

e170..  - x558 + x559 =E= 19;

e171..  - x560 + x561 =E= 10;

e172..  - x562 + x563 =E= 17;

e173..  - x564 + x565 =E= 13;

e174..  - x566 + x567 =E= 14;

e175..  - x568 + x569 =E= 12;

e176..  - x570 + x571 =E= 22;

e177..  - x572 + x573 =E= 7;

e178..  - x574 + x575 =E= -189;

e179..  - x576 + x577 =E= 21;

e180..  - x578 + x579 =E= 17;

e181..  - x580 + x581 =E= 10;

e182..    x252 - x253 + x343 - x345 + x522 - x523 + x552 - x553 - x582 + x583
        =E= 17;

e183..    x254 - x255 + x347 - x349 + x524 - x525 + x554 - x555 - x584 + x585
        =E= 18;

e184..    x256 - x257 + x351 - x353 + x526 - x527 + x556 - x557 - x586 + x587
        =E= 23;

e185..    x258 - x259 + x355 - x357 + x528 - x529 + x558 - x559 - x588 + x589
        =E= 20;

e186..    x260 - x261 + x359 - x361 + x530 - x531 + x560 - x561 - x590 + x591
        =E= 7;

e187..    x262 - x263 + x363 - x365 + x532 - x533 + x562 - x563 - x592 + x593
        =E= 16;

e188..    x264 - x265 + x367 - x369 + x534 - x535 + x564 - x565 - x594 + x595
        =E= 14;

e189..    x266 - x267 + x371 - x373 + x536 - x537 + x566 - x567 - x596 + x597
        =E= 14;

e190..    x268 - x269 + x375 - x377 + x538 - x539 + x568 - x569 - x598 + x599
        =E= 14;

e191..    x270 - x271 + x379 - x381 + x540 - x541 + x570 - x571 - x600 + x601
        =E= 8;

e192..    x272 - x273 + x383 - x385 + x542 - x543 + x572 - x573 - x602 + x603
        =E= 16;

e193..    x274 - x275 + x387 - x389 + x544 - x545 + x574 - x575 - x604 + x605
        =E= 9;

e194..    x276 - x277 + x391 - x393 + x546 - x547 + x576 - x577 - x606 + x607
        =E= -214;

e195..    x278 - x279 + x395 - x397 + x548 - x549 + x578 - x579 - x608 + x609
        =E= 24;

e196..    x280 - x281 + x399 - x401 + x550 - x551 + x580 - x581 - x610 + x611
        =E= 11;

e197..    x403 - x405 - x612 + x613 =E= 10;

e198..    x407 - x409 - x614 + x615 =E= 10;

e199..    x411 - x413 - x616 + x617 =E= 20;

e200..    x415 - x417 - x618 + x619 =E= 13;

e201..    x419 - x421 - x620 + x621 =E= 7;

e202..    x423 - x425 - x622 + x623 =E= 8;

e203..    x427 - x429 - x624 + x625 =E= 11;

e204..    x431 - x433 - x626 + x627 =E= 16;

e205..    x435 - x437 - x628 + x629 =E= 22;

e206..    x439 - x441 - x630 + x631 =E= 13;

e207..    x443 - x445 - x632 + x633 =E= 9;

e208..    x447 - x449 - x634 + x635 =E= 22;

e209..    x451 - x453 - x636 + x637 =E= 21;

e210..    x455 - x457 - x638 + x639 =E= -222;

e211..    x459 - x461 - x640 + x641 =E= 14;

e212..    x45 - x49 + x193 - x195 + x582 - x583 + x612 - x613 =E= 22;

e213..    x53 - x57 + x197 - x199 + x584 - x585 + x614 - x615 =E= 19;

e214..    x61 - x65 + x201 - x203 + x586 - x587 + x616 - x617 =E= 7;

e215..    x69 - x73 + x205 - x207 + x588 - x589 + x618 - x619 =E= 10;

e216..    x77 - x81 + x209 - x211 + x590 - x591 + x620 - x621 =E= 8;

e217..    x85 - x89 + x213 - x215 + x592 - x593 + x622 - x623 =E= 15;

e218..    x93 - x97 + x217 - x219 + x594 - x595 + x624 - x625 =E= 23;

e219..    x101 - x105 + x221 - x223 + x596 - x597 + x626 - x627 =E= 15;

e220..    x109 - x113 + x225 - x227 + x598 - x599 + x628 - x629 =E= 20;

e221..    x117 - x121 + x229 - x231 + x600 - x601 + x630 - x631 =E= 18;

e222..    x125 - x129 + x233 - x235 + x602 - x603 + x632 - x633 =E= 23;

e223..    x133 - x137 + x237 - x239 + x604 - x605 + x634 - x635 =E= 11;

e224..    x141 - x145 + x241 - x243 + x606 - x607 + x636 - x637 =E= 20;

e225..    x149 - x153 + x245 - x247 + x608 - x609 + x638 - x639 =E= 21;

e226..    x157 - x161 + x249 - x251 + x610 - x611 + x640 - x641 =E= -193;

e227..    x642 + x643 + x644 + x645 + x646 + x647 + x648 + x649 + x650 + x651
        + x652 + x653 + x654 + x655 + x656 + x657 + x658 + x659 + x660 + x661
        + x662 + x663 + x664 + x665 + x666 + x667 + x668 + x669 + x670 + x671
        + x672 + x673 + x674 + x675 + x676 + x677 + x678 + x679 + x680 + x681
        =L= 18954;

e228..  - 526*b2 + x42 + x50 + x58 + x66 + x74 + x82 + x90 + x98 + x106 + x114
        + x122 + x130 + x138 + x146 + x154 =L= 0;

e229..  - 348*b3 + x43 + x51 + x59 + x67 + x75 + x83 + x91 + x99 + x107 + x115
        + x123 + x131 + x139 + x147 + x155 =L= 0;

e230..  - 712*b4 + x44 + x52 + x60 + x68 + x76 + x84 + x92 + x100 + x108 + x116
        + x124 + x132 + x140 + x148 + x156 =L= 0;

e231..  - 333*b5 + x45 + x53 + x61 + x69 + x77 + x85 + x93 + x101 + x109 + x117
        + x125 + x133 + x141 + x149 + x157 =L= 0;

e232..  - 526*b6 + x46 + x54 + x62 + x70 + x78 + x86 + x94 + x102 + x110 + x118
        + x126 + x134 + x142 + x150 + x158 =L= 0;

e233..  - 734*b7 + x162 + x164 + x166 + x168 + x170 + x172 + x174 + x176 + x178
        + x180 + x182 + x184 + x186 + x188 + x190 =L= 0;

e234..  - 580*b8 + x192 + x196 + x200 + x204 + x208 + x212 + x216 + x220 + x224
        + x228 + x232 + x236 + x240 + x244 + x248 =L= 0;

e235..  - 415*b9 + x193 + x197 + x201 + x205 + x209 + x213 + x217 + x221 + x225
        + x229 + x233 + x237 + x241 + x245 + x249 =L= 0;

e236..  - 734*b10 + x163 + x165 + x167 + x169 + x171 + x173 + x175 + x177
        + x179 + x181 + x183 + x185 + x187 + x189 + x191 =L= 0;

e237..  - 580*b11 + x194 + x198 + x202 + x206 + x210 + x214 + x218 + x222
        + x226 + x230 + x234 + x238 + x242 + x246 + x250 =L= 0;

e238..  - 212*b12 + x252 + x254 + x256 + x258 + x260 + x262 + x264 + x266
        + x268 + x270 + x272 + x274 + x276 + x278 + x280 =L= 0;

e239..  - 404*b13 + x282 + x284 + x286 + x288 + x290 + x292 + x294 + x296
        + x298 + x300 + x302 + x304 + x306 + x308 + x310 =L= 0;

e240..  - 348*b14 + x47 + x55 + x63 + x71 + x79 + x87 + x95 + x103 + x111
        + x119 + x127 + x135 + x143 + x151 + x159 =L= 0;

e241..  - 404*b15 + x283 + x285 + x287 + x289 + x291 + x293 + x295 + x297
        + x299 + x301 + x303 + x305 + x307 + x309 + x311 =L= 0;

e242..  - 662*b16 + x312 + x314 + x316 + x318 + x320 + x322 + x324 + x326
        + x328 + x330 + x332 + x334 + x336 + x338 + x340 =L= 0;

e243..  - 478*b17 + x342 + x346 + x350 + x354 + x358 + x362 + x366 + x370
        + x374 + x378 + x382 + x386 + x390 + x394 + x398 =L= 0;

e244..  - 323*b18 + x343 + x347 + x351 + x355 + x359 + x363 + x367 + x371
        + x375 + x379 + x383 + x387 + x391 + x395 + x399 =L= 0;

e245..  - 478*b19 + x344 + x348 + x352 + x356 + x360 + x364 + x368 + x372
        + x376 + x380 + x384 + x388 + x392 + x396 + x400 =L= 0;

e246..  - 243*b20 + x402 + x406 + x410 + x414 + x418 + x422 + x426 + x430
        + x434 + x438 + x442 + x446 + x450 + x454 + x458 =L= 0;

e247..  - 547*b21 + x403 + x407 + x411 + x415 + x419 + x423 + x427 + x431
        + x435 + x439 + x443 + x447 + x451 + x455 + x459 =L= 0;

e248..  - 662*b22 + x313 + x315 + x317 + x319 + x321 + x323 + x325 + x327
        + x329 + x331 + x333 + x335 + x337 + x339 + x341 =L= 0;

e249..  - 243*b23 + x404 + x408 + x412 + x416 + x420 + x424 + x428 + x432
        + x436 + x440 + x444 + x448 + x452 + x456 + x460 =L= 0;

e250..  - 242*b24 + x462 + x464 + x466 + x468 + x470 + x472 + x474 + x476
        + x478 + x480 + x482 + x484 + x486 + x488 + x490 =L= 0;

e251..  - 712*b25 + x48 + x56 + x64 + x72 + x80 + x88 + x96 + x104 + x112
        + x120 + x128 + x136 + x144 + x152 + x160 =L= 0;

e252..  - 242*b26 + x463 + x465 + x467 + x469 + x471 + x473 + x475 + x477
        + x479 + x481 + x483 + x485 + x487 + x489 + x491 =L= 0;

e253..  - 579*b27 + x492 + x494 + x496 + x498 + x500 + x502 + x504 + x506
        + x508 + x510 + x512 + x514 + x516 + x518 + x520 =L= 0;

e254..  - 579*b28 + x493 + x495 + x497 + x499 + x501 + x503 + x505 + x507
        + x509 + x511 + x513 + x515 + x517 + x519 + x521 =L= 0;

e255..  - 664*b29 + x522 + x524 + x526 + x528 + x530 + x532 + x534 + x536
        + x538 + x540 + x542 + x544 + x546 + x548 + x550 =L= 0;

e256..  - 358*b30 + x552 + x554 + x556 + x558 + x560 + x562 + x564 + x566
        + x568 + x570 + x572 + x574 + x576 + x578 + x580 =L= 0;

e257..  - 212*b31 + x253 + x255 + x257 + x259 + x261 + x263 + x265 + x267
        + x269 + x271 + x273 + x275 + x277 + x279 + x281 =L= 0;

e258..  - 323*b32 + x345 + x349 + x353 + x357 + x361 + x365 + x369 + x373
        + x377 + x381 + x385 + x389 + x393 + x397 + x401 =L= 0;

e259..  - 664*b33 + x523 + x525 + x527 + x529 + x531 + x533 + x535 + x537
        + x539 + x541 + x543 + x545 + x547 + x549 + x551 =L= 0;

e260..  - 358*b34 + x553 + x555 + x557 + x559 + x561 + x563 + x565 + x567
        + x569 + x571 + x573 + x575 + x577 + x579 + x581 =L= 0;

e261..  - 161*b35 + x582 + x584 + x586 + x588 + x590 + x592 + x594 + x596
        + x598 + x600 + x602 + x604 + x606 + x608 + x610 =L= 0;

e262..  - 547*b36 + x405 + x409 + x413 + x417 + x421 + x425 + x429 + x433
        + x437 + x441 + x445 + x449 + x453 + x457 + x461 =L= 0;

e263..  - 649*b37 + x612 + x614 + x616 + x618 + x620 + x622 + x624 + x626
        + x628 + x630 + x632 + x634 + x636 + x638 + x640 =L= 0;

e264..  - 333*b38 + x49 + x57 + x65 + x73 + x81 + x89 + x97 + x105 + x113
        + x121 + x129 + x137 + x145 + x153 + x161 =L= 0;

e265..  - 415*b39 + x195 + x199 + x203 + x207 + x211 + x215 + x219 + x223
        + x227 + x231 + x235 + x239 + x243 + x247 + x251 =L= 0;

e266..  - 161*b40 + x583 + x585 + x587 + x589 + x591 + x593 + x595 + x597
        + x599 + x601 + x603 + x605 + x607 + x609 + x611 =L= 0;

e267..  - 649*b41 + x613 + x615 + x617 + x619 + x621 + x623 + x625 + x627
        + x629 + x631 + x633 + x635 + x637 + x639 + x641 =L= 0;

e268.. (-x642*x42) - 526*x42 + 526*x642 - x642*x50 - 526*x50 - x642*x58 - 526*
       x58 - x642*x66 - 526*x66 - x642*x74 - 526*x74 - x642*x82 - 526*x82 - 
       x642*x90 - 526*x90 - x642*x98 - 526*x98 - x642*x106 - 526*x106 - x642*
       x114 - 526*x114 - x642*x122 - 526*x122 - x642*x130 - 526*x130 - x642*
       x138 - 526*x138 - x642*x146 - 526*x146 - x642*x154 - 526*x154 =G= 0;

e269.. (-x643*x43) - 348*x43 + 348*x643 - x643*x51 - 348*x51 - x643*x59 - 348*
       x59 - x643*x67 - 348*x67 - x643*x75 - 348*x75 - x643*x83 - 348*x83 - 
       x643*x91 - 348*x91 - x643*x99 - 348*x99 - x643*x107 - 348*x107 - x643*
       x115 - 348*x115 - x643*x123 - 348*x123 - x643*x131 - 348*x131 - x643*
       x139 - 348*x139 - x643*x147 - 348*x147 - x643*x155 - 348*x155 =G= 0;

e270.. (-x644*x44) - 712*x44 + 712*x644 - x644*x52 - 712*x52 - x644*x60 - 712*
       x60 - x644*x68 - 712*x68 - x644*x76 - 712*x76 - x644*x84 - 712*x84 - 
       x644*x92 - 712*x92 - x644*x100 - 712*x100 - x644*x108 - 712*x108 - x644*
       x116 - 712*x116 - x644*x124 - 712*x124 - x644*x132 - 712*x132 - x644*
       x140 - 712*x140 - x644*x148 - 712*x148 - x644*x156 - 712*x156 =G= 0;

e271.. (-x645*x45) - 333*x45 + 333*x645 - x645*x53 - 333*x53 - x645*x61 - 333*
       x61 - x645*x69 - 333*x69 - x645*x77 - 333*x77 - x645*x85 - 333*x85 - 
       x645*x93 - 333*x93 - x645*x101 - 333*x101 - x645*x109 - 333*x109 - x645*
       x117 - 333*x117 - x645*x125 - 333*x125 - x645*x133 - 333*x133 - x645*
       x141 - 333*x141 - x645*x149 - 333*x149 - x645*x157 - 333*x157 =G= 0;

e272.. (-x646*x46) - 526*x46 + 526*x646 - x646*x54 - 526*x54 - x646*x62 - 526*
       x62 - x646*x70 - 526*x70 - x646*x78 - 526*x78 - x646*x86 - 526*x86 - 
       x646*x94 - 526*x94 - x646*x102 - 526*x102 - x646*x110 - 526*x110 - x646*
       x118 - 526*x118 - x646*x126 - 526*x126 - x646*x134 - 526*x134 - x646*
       x142 - 526*x142 - x646*x150 - 526*x150 - x646*x158 - 526*x158 =G= 0;

e273.. (-x647*x162) - 734*x162 + 734*x647 - x647*x164 - 734*x164 - x647*x166 - 
       734*x166 - x647*x168 - 734*x168 - x647*x170 - 734*x170 - x647*x172 - 734
       *x172 - x647*x174 - 734*x174 - x647*x176 - 734*x176 - x647*x178 - 734*
       x178 - x647*x180 - 734*x180 - x647*x182 - 734*x182 - x647*x184 - 734*
       x184 - x647*x186 - 734*x186 - x647*x188 - 734*x188 - x647*x190 - 734*
       x190 =G= 0;

e274.. (-x648*x192) - 580*x192 + 580*x648 - x648*x196 - 580*x196 - x648*x200 - 
       580*x200 - x648*x204 - 580*x204 - x648*x208 - 580*x208 - x648*x212 - 580
       *x212 - x648*x216 - 580*x216 - x648*x220 - 580*x220 - x648*x224 - 580*
       x224 - x648*x228 - 580*x228 - x648*x232 - 580*x232 - x648*x236 - 580*
       x236 - x648*x240 - 580*x240 - x648*x244 - 580*x244 - x648*x248 - 580*
       x248 =G= 0;

e275.. (-x649*x193) - 415*x193 + 415*x649 - x649*x197 - 415*x197 - x649*x201 - 
       415*x201 - x649*x205 - 415*x205 - x649*x209 - 415*x209 - x649*x213 - 415
       *x213 - x649*x217 - 415*x217 - x649*x221 - 415*x221 - x649*x225 - 415*
       x225 - x649*x229 - 415*x229 - x649*x233 - 415*x233 - x649*x237 - 415*
       x237 - x649*x241 - 415*x241 - x649*x245 - 415*x245 - x649*x249 - 415*
       x249 =G= 0;

e276.. (-x650*x163) - 734*x163 + 734*x650 - x650*x165 - 734*x165 - x650*x167 - 
       734*x167 - x650*x169 - 734*x169 - x650*x171 - 734*x171 - x650*x173 - 734
       *x173 - x650*x175 - 734*x175 - x650*x177 - 734*x177 - x650*x179 - 734*
       x179 - x650*x181 - 734*x181 - x650*x183 - 734*x183 - x650*x185 - 734*
       x185 - x650*x187 - 734*x187 - x650*x189 - 734*x189 - x650*x191 - 734*
       x191 =G= 0;

e277.. (-x651*x194) - 580*x194 + 580*x651 - x651*x198 - 580*x198 - x651*x202 - 
       580*x202 - x651*x206 - 580*x206 - x651*x210 - 580*x210 - x651*x214 - 580
       *x214 - x651*x218 - 580*x218 - x651*x222 - 580*x222 - x651*x226 - 580*
       x226 - x651*x230 - 580*x230 - x651*x234 - 580*x234 - x651*x238 - 580*
       x238 - x651*x242 - 580*x242 - x651*x246 - 580*x246 - x651*x250 - 580*
       x250 =G= 0;

e278.. (-x652*x252) - 212*x252 + 212*x652 - x652*x254 - 212*x254 - x652*x256 - 
       212*x256 - x652*x258 - 212*x258 - x652*x260 - 212*x260 - x652*x262 - 212
       *x262 - x652*x264 - 212*x264 - x652*x266 - 212*x266 - x652*x268 - 212*
       x268 - x652*x270 - 212*x270 - x652*x272 - 212*x272 - x652*x274 - 212*
       x274 - x652*x276 - 212*x276 - x652*x278 - 212*x278 - x652*x280 - 212*
       x280 =G= 0;

e279.. (-x653*x282) - 404*x282 + 404*x653 - x653*x284 - 404*x284 - x653*x286 - 
       404*x286 - x653*x288 - 404*x288 - x653*x290 - 404*x290 - x653*x292 - 404
       *x292 - x653*x294 - 404*x294 - x653*x296 - 404*x296 - x653*x298 - 404*
       x298 - x653*x300 - 404*x300 - x653*x302 - 404*x302 - x653*x304 - 404*
       x304 - x653*x306 - 404*x306 - x653*x308 - 404*x308 - x653*x310 - 404*
       x310 =G= 0;

e280.. (-x654*x47) - 348*x47 + 348*x654 - x654*x55 - 348*x55 - x654*x63 - 348*
       x63 - x654*x71 - 348*x71 - x654*x79 - 348*x79 - x654*x87 - 348*x87 - 
       x654*x95 - 348*x95 - x654*x103 - 348*x103 - x654*x111 - 348*x111 - x654*
       x119 - 348*x119 - x654*x127 - 348*x127 - x654*x135 - 348*x135 - x654*
       x143 - 348*x143 - x654*x151 - 348*x151 - x654*x159 - 348*x159 =G= 0;

e281.. (-x655*x283) - 404*x283 + 404*x655 - x655*x285 - 404*x285 - x655*x287 - 
       404*x287 - x655*x289 - 404*x289 - x655*x291 - 404*x291 - x655*x293 - 404
       *x293 - x655*x295 - 404*x295 - x655*x297 - 404*x297 - x655*x299 - 404*
       x299 - x655*x301 - 404*x301 - x655*x303 - 404*x303 - x655*x305 - 404*
       x305 - x655*x307 - 404*x307 - x655*x309 - 404*x309 - x655*x311 - 404*
       x311 =G= 0;

e282.. (-x656*x312) - 662*x312 + 662*x656 - x656*x314 - 662*x314 - x656*x316 - 
       662*x316 - x656*x318 - 662*x318 - x656*x320 - 662*x320 - x656*x322 - 662
       *x322 - x656*x324 - 662*x324 - x656*x326 - 662*x326 - x656*x328 - 662*
       x328 - x656*x330 - 662*x330 - x656*x332 - 662*x332 - x656*x334 - 662*
       x334 - x656*x336 - 662*x336 - x656*x338 - 662*x338 - x656*x340 - 662*
       x340 =G= 0;

e283.. (-x657*x342) - 478*x342 + 478*x657 - x657*x346 - 478*x346 - x657*x350 - 
       478*x350 - x657*x354 - 478*x354 - x657*x358 - 478*x358 - x657*x362 - 478
       *x362 - x657*x366 - 478*x366 - x657*x370 - 478*x370 - x657*x374 - 478*
       x374 - x657*x378 - 478*x378 - x657*x382 - 478*x382 - x657*x386 - 478*
       x386 - x657*x390 - 478*x390 - x657*x394 - 478*x394 - x657*x398 - 478*
       x398 =G= 0;

e284.. (-x658*x343) - 323*x343 + 323*x658 - x658*x347 - 323*x347 - x658*x351 - 
       323*x351 - x658*x355 - 323*x355 - x658*x359 - 323*x359 - x658*x363 - 323
       *x363 - x658*x367 - 323*x367 - x658*x371 - 323*x371 - x658*x375 - 323*
       x375 - x658*x379 - 323*x379 - x658*x383 - 323*x383 - x658*x387 - 323*
       x387 - x658*x391 - 323*x391 - x658*x395 - 323*x395 - x658*x399 - 323*
       x399 =G= 0;

e285.. (-x659*x344) - 478*x344 + 478*x659 - x659*x348 - 478*x348 - x659*x352 - 
       478*x352 - x659*x356 - 478*x356 - x659*x360 - 478*x360 - x659*x364 - 478
       *x364 - x659*x368 - 478*x368 - x659*x372 - 478*x372 - x659*x376 - 478*
       x376 - x659*x380 - 478*x380 - x659*x384 - 478*x384 - x659*x388 - 478*
       x388 - x659*x392 - 478*x392 - x659*x396 - 478*x396 - x659*x400 - 478*
       x400 =G= 0;

e286.. (-x660*x402) - 243*x402 + 243*x660 - x660*x406 - 243*x406 - x660*x410 - 
       243*x410 - x660*x414 - 243*x414 - x660*x418 - 243*x418 - x660*x422 - 243
       *x422 - x660*x426 - 243*x426 - x660*x430 - 243*x430 - x660*x434 - 243*
       x434 - x660*x438 - 243*x438 - x660*x442 - 243*x442 - x660*x446 - 243*
       x446 - x660*x450 - 243*x450 - x660*x454 - 243*x454 - x660*x458 - 243*
       x458 =G= 0;

e287.. (-x661*x403) - 547*x403 + 547*x661 - x661*x407 - 547*x407 - x661*x411 - 
       547*x411 - x661*x415 - 547*x415 - x661*x419 - 547*x419 - x661*x423 - 547
       *x423 - x661*x427 - 547*x427 - x661*x431 - 547*x431 - x661*x435 - 547*
       x435 - x661*x439 - 547*x439 - x661*x443 - 547*x443 - x661*x447 - 547*
       x447 - x661*x451 - 547*x451 - x661*x455 - 547*x455 - x661*x459 - 547*
       x459 =G= 0;

e288.. (-x662*x313) - 662*x313 + 662*x662 - x662*x315 - 662*x315 - x662*x317 - 
       662*x317 - x662*x319 - 662*x319 - x662*x321 - 662*x321 - x662*x323 - 662
       *x323 - x662*x325 - 662*x325 - x662*x327 - 662*x327 - x662*x329 - 662*
       x329 - x662*x331 - 662*x331 - x662*x333 - 662*x333 - x662*x335 - 662*
       x335 - x662*x337 - 662*x337 - x662*x339 - 662*x339 - x662*x341 - 662*
       x341 =G= 0;

e289.. (-x663*x404) - 243*x404 + 243*x663 - x663*x408 - 243*x408 - x663*x412 - 
       243*x412 - x663*x416 - 243*x416 - x663*x420 - 243*x420 - x663*x424 - 243
       *x424 - x663*x428 - 243*x428 - x663*x432 - 243*x432 - x663*x436 - 243*
       x436 - x663*x440 - 243*x440 - x663*x444 - 243*x444 - x663*x448 - 243*
       x448 - x663*x452 - 243*x452 - x663*x456 - 243*x456 - x663*x460 - 243*
       x460 =G= 0;

e290.. (-x664*x462) - 242*x462 + 242*x664 - x664*x464 - 242*x464 - x664*x466 - 
       242*x466 - x664*x468 - 242*x468 - x664*x470 - 242*x470 - x664*x472 - 242
       *x472 - x664*x474 - 242*x474 - x664*x476 - 242*x476 - x664*x478 - 242*
       x478 - x664*x480 - 242*x480 - x664*x482 - 242*x482 - x664*x484 - 242*
       x484 - x664*x486 - 242*x486 - x664*x488 - 242*x488 - x664*x490 - 242*
       x490 =G= 0;

e291.. (-x665*x48) - 712*x48 + 712*x665 - x665*x56 - 712*x56 - x665*x64 - 712*
       x64 - x665*x72 - 712*x72 - x665*x80 - 712*x80 - x665*x88 - 712*x88 - 
       x665*x96 - 712*x96 - x665*x104 - 712*x104 - x665*x112 - 712*x112 - x665*
       x120 - 712*x120 - x665*x128 - 712*x128 - x665*x136 - 712*x136 - x665*
       x144 - 712*x144 - x665*x152 - 712*x152 - x665*x160 - 712*x160 =G= 0;

e292.. (-x666*x463) - 242*x463 + 242*x666 - x666*x465 - 242*x465 - x666*x467 - 
       242*x467 - x666*x469 - 242*x469 - x666*x471 - 242*x471 - x666*x473 - 242
       *x473 - x666*x475 - 242*x475 - x666*x477 - 242*x477 - x666*x479 - 242*
       x479 - x666*x481 - 242*x481 - x666*x483 - 242*x483 - x666*x485 - 242*
       x485 - x666*x487 - 242*x487 - x666*x489 - 242*x489 - x666*x491 - 242*
       x491 =G= 0;

e293.. (-x667*x492) - 579*x492 + 579*x667 - x667*x494 - 579*x494 - x667*x496 - 
       579*x496 - x667*x498 - 579*x498 - x667*x500 - 579*x500 - x667*x502 - 579
       *x502 - x667*x504 - 579*x504 - x667*x506 - 579*x506 - x667*x508 - 579*
       x508 - x667*x510 - 579*x510 - x667*x512 - 579*x512 - x667*x514 - 579*
       x514 - x667*x516 - 579*x516 - x667*x518 - 579*x518 - x667*x520 - 579*
       x520 =G= 0;

e294.. (-x668*x493) - 579*x493 + 579*x668 - x668*x495 - 579*x495 - x668*x497 - 
       579*x497 - x668*x499 - 579*x499 - x668*x501 - 579*x501 - x668*x503 - 579
       *x503 - x668*x505 - 579*x505 - x668*x507 - 579*x507 - x668*x509 - 579*
       x509 - x668*x511 - 579*x511 - x668*x513 - 579*x513 - x668*x515 - 579*
       x515 - x668*x517 - 579*x517 - x668*x519 - 579*x519 - x668*x521 - 579*
       x521 =G= 0;

e295.. (-x669*x522) - 664*x522 + 664*x669 - x669*x524 - 664*x524 - x669*x526 - 
       664*x526 - x669*x528 - 664*x528 - x669*x530 - 664*x530 - x669*x532 - 664
       *x532 - x669*x534 - 664*x534 - x669*x536 - 664*x536 - x669*x538 - 664*
       x538 - x669*x540 - 664*x540 - x669*x542 - 664*x542 - x669*x544 - 664*
       x544 - x669*x546 - 664*x546 - x669*x548 - 664*x548 - x669*x550 - 664*
       x550 =G= 0;

e296.. (-x670*x552) - 358*x552 + 358*x670 - x670*x554 - 358*x554 - x670*x556 - 
       358*x556 - x670*x558 - 358*x558 - x670*x560 - 358*x560 - x670*x562 - 358
       *x562 - x670*x564 - 358*x564 - x670*x566 - 358*x566 - x670*x568 - 358*
       x568 - x670*x570 - 358*x570 - x670*x572 - 358*x572 - x670*x574 - 358*
       x574 - x670*x576 - 358*x576 - x670*x578 - 358*x578 - x670*x580 - 358*
       x580 =G= 0;

e297.. (-x671*x253) - 212*x253 + 212*x671 - x671*x255 - 212*x255 - x671*x257 - 
       212*x257 - x671*x259 - 212*x259 - x671*x261 - 212*x261 - x671*x263 - 212
       *x263 - x671*x265 - 212*x265 - x671*x267 - 212*x267 - x671*x269 - 212*
       x269 - x671*x271 - 212*x271 - x671*x273 - 212*x273 - x671*x275 - 212*
       x275 - x671*x277 - 212*x277 - x671*x279 - 212*x279 - x671*x281 - 212*
       x281 =G= 0;

e298.. (-x672*x345) - 323*x345 + 323*x672 - x672*x349 - 323*x349 - x672*x353 - 
       323*x353 - x672*x357 - 323*x357 - x672*x361 - 323*x361 - x672*x365 - 323
       *x365 - x672*x369 - 323*x369 - x672*x373 - 323*x373 - x672*x377 - 323*
       x377 - x672*x381 - 323*x381 - x672*x385 - 323*x385 - x672*x389 - 323*
       x389 - x672*x393 - 323*x393 - x672*x397 - 323*x397 - x672*x401 - 323*
       x401 =G= 0;

e299.. (-x673*x523) - 664*x523 + 664*x673 - x673*x525 - 664*x525 - x673*x527 - 
       664*x527 - x673*x529 - 664*x529 - x673*x531 - 664*x531 - x673*x533 - 664
       *x533 - x673*x535 - 664*x535 - x673*x537 - 664*x537 - x673*x539 - 664*
       x539 - x673*x541 - 664*x541 - x673*x543 - 664*x543 - x673*x545 - 664*
       x545 - x673*x547 - 664*x547 - x673*x549 - 664*x549 - x673*x551 - 664*
       x551 =G= 0;

e300.. (-x674*x553) - 358*x553 + 358*x674 - x674*x555 - 358*x555 - x674*x557 - 
       358*x557 - x674*x559 - 358*x559 - x674*x561 - 358*x561 - x674*x563 - 358
       *x563 - x674*x565 - 358*x565 - x674*x567 - 358*x567 - x674*x569 - 358*
       x569 - x674*x571 - 358*x571 - x674*x573 - 358*x573 - x674*x575 - 358*
       x575 - x674*x577 - 358*x577 - x674*x579 - 358*x579 - x674*x581 - 358*
       x581 =G= 0;

e301.. (-x675*x582) - 161*x582 + 161*x675 - x675*x584 - 161*x584 - x675*x586 - 
       161*x586 - x675*x588 - 161*x588 - x675*x590 - 161*x590 - x675*x592 - 161
       *x592 - x675*x594 - 161*x594 - x675*x596 - 161*x596 - x675*x598 - 161*
       x598 - x675*x600 - 161*x600 - x675*x602 - 161*x602 - x675*x604 - 161*
       x604 - x675*x606 - 161*x606 - x675*x608 - 161*x608 - x675*x610 - 161*
       x610 =G= 0;

e302.. (-x676*x405) - 547*x405 + 547*x676 - x676*x409 - 547*x409 - x676*x413 - 
       547*x413 - x676*x417 - 547*x417 - x676*x421 - 547*x421 - x676*x425 - 547
       *x425 - x676*x429 - 547*x429 - x676*x433 - 547*x433 - x676*x437 - 547*
       x437 - x676*x441 - 547*x441 - x676*x445 - 547*x445 - x676*x449 - 547*
       x449 - x676*x453 - 547*x453 - x676*x457 - 547*x457 - x676*x461 - 547*
       x461 =G= 0;

e303.. (-x677*x612) - 649*x612 + 649*x677 - x677*x614 - 649*x614 - x677*x616 - 
       649*x616 - x677*x618 - 649*x618 - x677*x620 - 649*x620 - x677*x622 - 649
       *x622 - x677*x624 - 649*x624 - x677*x626 - 649*x626 - x677*x628 - 649*
       x628 - x677*x630 - 649*x630 - x677*x632 - 649*x632 - x677*x634 - 649*
       x634 - x677*x636 - 649*x636 - x677*x638 - 649*x638 - x677*x640 - 649*
       x640 =G= 0;

e304.. (-x678*x49) - 333*x49 + 333*x678 - x678*x57 - 333*x57 - x678*x65 - 333*
       x65 - x678*x73 - 333*x73 - x678*x81 - 333*x81 - x678*x89 - 333*x89 - 
       x678*x97 - 333*x97 - x678*x105 - 333*x105 - x678*x113 - 333*x113 - x678*
       x121 - 333*x121 - x678*x129 - 333*x129 - x678*x137 - 333*x137 - x678*
       x145 - 333*x145 - x678*x153 - 333*x153 - x678*x161 - 333*x161 =G= 0;

e305.. (-x679*x195) - 415*x195 + 415*x679 - x679*x199 - 415*x199 - x679*x203 - 
       415*x203 - x679*x207 - 415*x207 - x679*x211 - 415*x211 - x679*x215 - 415
       *x215 - x679*x219 - 415*x219 - x679*x223 - 415*x223 - x679*x227 - 415*
       x227 - x679*x231 - 415*x231 - x679*x235 - 415*x235 - x679*x239 - 415*
       x239 - x679*x243 - 415*x243 - x679*x247 - 415*x247 - x679*x251 - 415*
       x251 =G= 0;

e306.. (-x680*x583) - 161*x583 + 161*x680 - x680*x585 - 161*x585 - x680*x587 - 
       161*x587 - x680*x589 - 161*x589 - x680*x591 - 161*x591 - x680*x593 - 161
       *x593 - x680*x595 - 161*x595 - x680*x597 - 161*x597 - x680*x599 - 161*
       x599 - x680*x601 - 161*x601 - x680*x603 - 161*x603 - x680*x605 - 161*
       x605 - x680*x607 - 161*x607 - x680*x609 - 161*x609 - x680*x611 - 161*
       x611 =G= 0;

e307.. (-x681*x613) - 649*x613 + 649*x681 - x681*x615 - 649*x615 - x681*x617 - 
       649*x617 - x681*x619 - 649*x619 - x681*x621 - 649*x621 - x681*x623 - 649
       *x623 - x681*x625 - 649*x625 - x681*x627 - 649*x627 - x681*x629 - 649*
       x629 - x681*x631 - 649*x631 - x681*x633 - 649*x633 - x681*x635 - 649*
       x635 - x681*x637 - 649*x637 - x681*x639 - 649*x639 - x681*x641 - 649*
       x641 =G= 0;

Model m / all /;

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

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

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





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