QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3522

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 84.91792756 (gdx, sol)
Solution point infeasibility solinfeasibility 2.5466e-11
Donor donor Stefan Vigerske
#Variables nvars 630
#Binary Variables nbinvars 42
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 588
#Nonlinear Variables nnlvars 588
#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 42
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 254
#Linear Constraints nlincons 212
#Quadratic Constraints nquadcons 42
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 42
#Nonzeros in Jacobian njacobiannz 2310
#Nonlinear Nonzeros in Jacobian njacobiannlnz 588
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 1092
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 42
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 14
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 14
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 14.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3522.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        255      170       42       43        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        631      589       42        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2353     1765      588        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,b42,b43,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;

Positive Variables  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;

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,b42,b43;

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;


e1..  - objvar + 1.090016011*b2 + 3.10674202*b3 + 2.475702586*b4
      + 1.966733944*b5 + 1.090016011*b6 + 2.019536713*b7 + 3.10674202*b8
      + 1.383540955*b9 + 2.087059045*b10 + 3.720443668*b11 + 1.383540955*b12
      + 1.794144217*b13 + 3.50653318*b14 + 1.71812596*b15 + 3.834780538*b16
      + 2.087059045*b17 + 1.794144217*b18 + 2.239621249*b19 + 2.475702586*b20
      + 2.019536713*b21 + 3.720443668*b22 + 3.50653318*b23 + 2.239621249*b24
      + 1.098732406*b25 + 1.742557876*b26 + 1.098732406*b27 + 3.606882982*b28
      + 1.71812596*b29 + 2.074958698*b30 + 1.966733944*b31 + 2.074958698*b32
      + 3.859970515*b33 + 1.742557876*b34 + 3.859970515*b35 + 3.951460459*b36
      + 3.834780538*b37 + 3.606882982*b38 + 2.524064089*b39 + 2.524064089*b40
      + 3.982701487*b41 + 3.951460459*b42 + 3.982701487*b43 =E= 0;

e2..  - x44 - x45 - x46 - x47 + x48 + x49 + x50 + x51 =E= -148;

e3..  - x52 - x53 - x54 - x55 + x56 + x57 + x58 + x59 =E= 12;

e4..  - x60 - x61 - x62 - x63 + x64 + x65 + x66 + x67 =E= 16;

e5..  - x68 - x69 - x70 - x71 + x72 + x73 + x74 + x75 =E= 21;

e6..  - x76 - x77 - x78 - x79 + x80 + x81 + x82 + x83 =E= 11;

e7..  - x84 - x85 - x86 - x87 + x88 + x89 + x90 + x91 =E= 24;

e8..  - x92 - x93 - x94 - x95 + x96 + x97 + x98 + x99 =E= 24;

e9..  - x100 - x101 - x102 - x103 + x104 + x105 + x106 + x107 =E= 8;

e10..  - x108 - x109 - x110 - x111 + x112 + x113 + x114 + x115 =E= 10;

e11..  - x116 - x117 - x118 - x119 + x120 + x121 + x122 + x123 =E= 18;

e12..  - x124 - x125 - x126 - x127 + x128 + x129 + x130 + x131 =E= 11;

e13..  - x132 - x133 - x134 - x135 + x136 + x137 + x138 + x139 =E= 20;

e14..  - x140 - x141 - x142 - x143 + x144 + x145 + x146 + x147 =E= 7;

e15..    x44 - x48 - x148 + x149 =E= 7;

e16..    x52 - x56 - x150 + x151 =E= -175;

e17..    x60 - x64 - x152 + x153 =E= 15;

e18..    x68 - x72 - x154 + x155 =E= 17;

e19..    x76 - x80 - x156 + x157 =E= 20;

e20..    x84 - x88 - x158 + x159 =E= 24;

e21..    x92 - x96 - x160 + x161 =E= 6;

e22..    x100 - x104 - x162 + x163 =E= 19;

e23..    x108 - x112 - x164 + x165 =E= 24;

e24..    x116 - x120 - x166 + x167 =E= 11;

e25..    x124 - x128 - x168 + x169 =E= 15;

e26..    x132 - x136 - x170 + x171 =E= 9;

e27..    x140 - x144 - x172 + x173 =E= 19;

e28..    x45 - x49 - x174 - x175 - x176 + x177 + x178 + x179 =E= 15;

e29..    x53 - x57 - x180 - x181 - x182 + x183 + x184 + x185 =E= 13;

e30..    x61 - x65 - x186 - x187 - x188 + x189 + x190 + x191 =E= -231;

e31..    x69 - x73 - x192 - x193 - x194 + x195 + x196 + x197 =E= 23;

e32..    x77 - x81 - x198 - x199 - x200 + x201 + x202 + x203 =E= 18;

e33..    x85 - x89 - x204 - x205 - x206 + x207 + x208 + x209 =E= 19;

e34..    x93 - x97 - x210 - x211 - x212 + x213 + x214 + x215 =E= 9;

e35..    x101 - x105 - x216 - x217 - x218 + x219 + x220 + x221 =E= 8;

e36..    x109 - x113 - x222 - x223 - x224 + x225 + x226 + x227 =E= 16;

e37..    x117 - x121 - x228 - x229 - x230 + x231 + x232 + x233 =E= 19;

e38..    x125 - x129 - x234 - x235 - x236 + x237 + x238 + x239 =E= 19;

e39..    x133 - x137 - x240 - x241 - x242 + x243 + x244 + x245 =E= 21;

e40..    x141 - x145 - x246 - x247 - x248 + x249 + x250 + x251 =E= 8;

e41..    x174 - x177 - x252 - x253 - x254 - x255 + x256 + x257 + x258 + x259
       =E= 12;

e42..    x180 - x183 - x260 - x261 - x262 - x263 + x264 + x265 + x266 + x267
       =E= 20;

e43..    x186 - x189 - x268 - x269 - x270 - x271 + x272 + x273 + x274 + x275
       =E= 23;

e44..    x192 - x195 - x276 - x277 - x278 - x279 + x280 + x281 + x282 + x283
       =E= -187;

e45..    x198 - x201 - x284 - x285 - x286 - x287 + x288 + x289 + x290 + x291
       =E= 21;

e46..    x204 - x207 - x292 - x293 - x294 - x295 + x296 + x297 + x298 + x299
       =E= 12;

e47..    x210 - x213 - x300 - x301 - x302 - x303 + x304 + x305 + x306 + x307
       =E= 6;

e48..    x216 - x219 - x308 - x309 - x310 - x311 + x312 + x313 + x314 + x315
       =E= 11;

e49..    x222 - x225 - x316 - x317 - x318 - x319 + x320 + x321 + x322 + x323
       =E= 19;

e50..    x228 - x231 - x324 - x325 - x326 - x327 + x328 + x329 + x330 + x331
       =E= 9;

e51..    x234 - x237 - x332 - x333 - x334 - x335 + x336 + x337 + x338 + x339
       =E= 17;

e52..    x240 - x243 - x340 - x341 - x342 - x343 + x344 + x345 + x346 + x347
       =E= 23;

e53..    x246 - x249 - x348 - x349 - x350 - x351 + x352 + x353 + x354 + x355
       =E= 21;

e54..    x175 - x178 + x252 - x256 - x356 + x357 =E= 14;

e55..    x181 - x184 + x260 - x264 - x358 + x359 =E= 7;

e56..    x187 - x190 + x268 - x272 - x360 + x361 =E= 22;

e57..    x193 - x196 + x276 - x280 - x362 + x363 =E= 14;

e58..    x199 - x202 + x284 - x288 - x364 + x365 =E= -170;

e59..    x205 - x208 + x292 - x296 - x366 + x367 =E= 12;

e60..    x211 - x214 + x300 - x304 - x368 + x369 =E= 13;

e61..    x217 - x220 + x308 - x312 - x370 + x371 =E= 10;

e62..    x223 - x226 + x316 - x320 - x372 + x373 =E= 15;

e63..    x229 - x232 + x324 - x328 - x374 + x375 =E= 9;

e64..    x235 - x238 + x332 - x336 - x376 + x377 =E= 14;

e65..    x241 - x244 + x340 - x344 - x378 + x379 =E= 16;

e66..    x247 - x250 + x348 - x352 - x380 + x381 =E= 8;

e67..    x46 - x50 + x148 - x149 + x176 - x179 + x253 - x257 + x356 - x357
       - x382 - x383 + x384 + x385 =E= 13;

e68..    x54 - x58 + x150 - x151 + x182 - x185 + x261 - x265 + x358 - x359
       - x386 - x387 + x388 + x389 =E= 22;

e69..    x62 - x66 + x152 - x153 + x188 - x191 + x269 - x273 + x360 - x361
       - x390 - x391 + x392 + x393 =E= 23;

e70..    x70 - x74 + x154 - x155 + x194 - x197 + x277 - x281 + x362 - x363
       - x394 - x395 + x396 + x397 =E= 7;

e71..    x78 - x82 + x156 - x157 + x200 - x203 + x285 - x289 + x364 - x365
       - x398 - x399 + x400 + x401 =E= 16;

e72..    x86 - x90 + x158 - x159 + x206 - x209 + x293 - x297 + x366 - x367
       - x402 - x403 + x404 + x405 =E= -169;

e73..    x94 - x98 + x160 - x161 + x212 - x215 + x301 - x305 + x368 - x369
       - x406 - x407 + x408 + x409 =E= 20;

e74..    x102 - x106 + x162 - x163 + x218 - x221 + x309 - x313 + x370 - x371
       - x410 - x411 + x412 + x413 =E= 14;

e75..    x110 - x114 + x164 - x165 + x224 - x227 + x317 - x321 + x372 - x373
       - x414 - x415 + x416 + x417 =E= 11;

e76..    x118 - x122 + x166 - x167 + x230 - x233 + x325 - x329 + x374 - x375
       - x418 - x419 + x420 + x421 =E= 13;

e77..    x126 - x130 + x168 - x169 + x236 - x239 + x333 - x337 + x376 - x377
       - x422 - x423 + x424 + x425 =E= 10;

e78..    x134 - x138 + x170 - x171 + x242 - x245 + x341 - x345 + x378 - x379
       - x426 - x427 + x428 + x429 =E= 13;

e79..    x142 - x146 + x172 - x173 + x248 - x251 + x349 - x353 + x380 - x381
       - x430 - x431 + x432 + x433 =E= 12;

e80..    x382 - x384 - x434 + x435 =E= 6;

e81..    x386 - x388 - x436 + x437 =E= 16;

e82..    x390 - x392 - x438 + x439 =E= 22;

e83..    x394 - x396 - x440 + x441 =E= 9;

e84..    x398 - x400 - x442 + x443 =E= 13;

e85..    x402 - x404 - x444 + x445 =E= 7;

e86..    x406 - x408 - x446 + x447 =E= -156;

e87..    x410 - x412 - x448 + x449 =E= 20;

e88..    x414 - x416 - x450 + x451 =E= 19;

e89..    x418 - x420 - x452 + x453 =E= 24;

e90..    x422 - x424 - x454 + x455 =E= 8;

e91..    x426 - x428 - x456 + x457 =E= 21;

e92..    x430 - x432 - x458 + x459 =E= 6;

e93..    x254 - x258 - x460 + x461 =E= 15;

e94..    x262 - x266 - x462 + x463 =E= 15;

e95..    x270 - x274 - x464 + x465 =E= 23;

e96..    x278 - x282 - x466 + x467 =E= 25;

e97..    x286 - x290 - x468 + x469 =E= 20;

e98..    x294 - x298 - x470 + x471 =E= 7;

e99..    x302 - x306 - x472 + x473 =E= 19;

e100..    x310 - x314 - x474 + x475 =E= -177;

e101..    x318 - x322 - x476 + x477 =E= 7;

e102..    x326 - x330 - x478 + x479 =E= 18;

e103..    x334 - x338 - x480 + x481 =E= 25;

e104..    x342 - x346 - x482 + x483 =E= 20;

e105..    x350 - x354 - x484 + x485 =E= 18;

e106..    x47 - x51 + x460 - x461 - x486 + x487 =E= 8;

e107..    x55 - x59 + x462 - x463 - x488 + x489 =E= 11;

e108..    x63 - x67 + x464 - x465 - x490 + x491 =E= 23;

e109..    x71 - x75 + x466 - x467 - x492 + x493 =E= 7;

e110..    x79 - x83 + x468 - x469 - x494 + x495 =E= 5;

e111..    x87 - x91 + x470 - x471 - x496 + x497 =E= 15;

e112..    x95 - x99 + x472 - x473 - x498 + x499 =E= 7;

e113..    x103 - x107 + x474 - x475 - x500 + x501 =E= 10;

e114..    x111 - x115 + x476 - x477 - x502 + x503 =E= -179;

e115..    x119 - x123 + x478 - x479 - x504 + x505 =E= 20;

e116..    x127 - x131 + x480 - x481 - x506 + x507 =E= 18;

e117..    x135 - x139 + x482 - x483 - x508 + x509 =E= 8;

e118..    x143 - x147 + x484 - x485 - x510 + x511 =E= 12;

e119..    x383 - x385 + x486 - x487 - x512 + x513 =E= 9;

e120..    x387 - x389 + x488 - x489 - x514 + x515 =E= 12;

e121..    x391 - x393 + x490 - x491 - x516 + x517 =E= 24;

e122..    x395 - x397 + x492 - x493 - x518 + x519 =E= 21;

e123..    x399 - x401 + x494 - x495 - x520 + x521 =E= 8;

e124..    x403 - x405 + x496 - x497 - x522 + x523 =E= 9;

e125..    x407 - x409 + x498 - x499 - x524 + x525 =E= 11;

e126..    x411 - x413 + x500 - x501 - x526 + x527 =E= 13;

e127..    x415 - x417 + x502 - x503 - x528 + x529 =E= 11;

e128..    x419 - x421 + x504 - x505 - x530 + x531 =E= -183;

e129..    x423 - x425 + x506 - x507 - x532 + x533 =E= 16;

e130..    x427 - x429 + x508 - x509 - x534 + x535 =E= 14;

e131..    x431 - x433 + x510 - x511 - x536 + x537 =E= 17;

e132..    x255 - x259 + x434 - x435 - x538 + x539 =E= 22;

e133..    x263 - x267 + x436 - x437 - x540 + x541 =E= 12;

e134..    x271 - x275 + x438 - x439 - x542 + x543 =E= 7;

e135..    x279 - x283 + x440 - x441 - x544 + x545 =E= 12;

e136..    x287 - x291 + x442 - x443 - x546 + x547 =E= 12;

e137..    x295 - x299 + x444 - x445 - x548 + x549 =E= 10;

e138..    x303 - x307 + x446 - x447 - x550 + x551 =E= 11;

e139..    x311 - x315 + x448 - x449 - x552 + x553 =E= 17;

e140..    x319 - x323 + x450 - x451 - x554 + x555 =E= 17;

e141..    x327 - x331 + x452 - x453 - x556 + x557 =E= 12;

e142..    x335 - x339 + x454 - x455 - x558 + x559 =E= -185;

e143..    x343 - x347 + x456 - x457 - x560 + x561 =E= 10;

e144..    x351 - x355 + x458 - x459 - x562 + x563 =E= 21;

e145..    x538 - x539 - x564 + x565 =E= 8;

e146..    x540 - x541 - x566 + x567 =E= 20;

e147..    x542 - x543 - x568 + x569 =E= 23;

e148..    x544 - x545 - x570 + x571 =E= 18;

e149..    x546 - x547 - x572 + x573 =E= 15;

e150..    x548 - x549 - x574 + x575 =E= 22;

e151..    x550 - x551 - x576 + x577 =E= 17;

e152..    x552 - x553 - x578 + x579 =E= 24;

e153..    x554 - x555 - x580 + x581 =E= 7;

e154..    x556 - x557 - x582 + x583 =E= 16;

e155..    x558 - x559 - x584 + x585 =E= 24;

e156..    x560 - x561 - x586 + x587 =E= -200;

e157..    x562 - x563 - x588 + x589 =E= 8;

e158..    x512 - x513 + x564 - x565 =E= 19;

e159..    x514 - x515 + x566 - x567 =E= 15;

e160..    x516 - x517 + x568 - x569 =E= 10;

e161..    x518 - x519 + x570 - x571 =E= 13;

e162..    x520 - x521 + x572 - x573 =E= 11;

e163..    x522 - x523 + x574 - x575 =E= 8;

e164..    x524 - x525 + x576 - x577 =E= 13;

e165..    x526 - x527 + x578 - x579 =E= 23;

e166..    x528 - x529 + x580 - x581 =E= 23;

e167..    x530 - x531 + x582 - x583 =E= 14;

e168..    x532 - x533 + x584 - x585 =E= 8;

e169..    x534 - x535 + x586 - x587 =E= 25;

e170..    x536 - x537 + x588 - x589 =E= -157;

e171..    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 =L= 18536;

e172..  - 166*b2 + x44 + x52 + x60 + x68 + x76 + x84 + x92 + x100 + x108 + x116
        + x124 + x132 + x140 =L= 0;

e173..  - 463*b3 + x45 + x53 + x61 + x69 + x77 + x85 + x93 + x101 + x109 + x117
        + x125 + x133 + x141 =L= 0;

e174..  - 522*b4 + x46 + x54 + x62 + x70 + x78 + x86 + x94 + x102 + x110 + x118
        + x126 + x134 + x142 =L= 0;

e175..  - 141*b5 + x47 + x55 + x63 + x71 + x79 + x87 + x95 + x103 + x111 + x119
        + x127 + x135 + x143 =L= 0;

e176..  - 166*b6 + x48 + x56 + x64 + x72 + x80 + x88 + x96 + x104 + x112 + x120
        + x128 + x136 + x144 =L= 0;

e177..  - 265*b7 + x148 + x150 + x152 + x154 + x156 + x158 + x160 + x162 + x164
        + x166 + x168 + x170 + x172 =L= 0;

e178..  - 463*b8 + x49 + x57 + x65 + x73 + x81 + x89 + x97 + x105 + x113 + x121
        + x129 + x137 + x145 =L= 0;

e179..  - 456*b9 + x174 + x180 + x186 + x192 + x198 + x204 + x210 + x216 + x222
        + x228 + x234 + x240 + x246 =L= 0;

e180..  - 526*b10 + x175 + x181 + x187 + x193 + x199 + x205 + x211 + x217
        + x223 + x229 + x235 + x241 + x247 =L= 0;

e181..  - 152*b11 + x176 + x182 + x188 + x194 + x200 + x206 + x212 + x218
        + x224 + x230 + x236 + x242 + x248 =L= 0;

e182..  - 456*b12 + x177 + x183 + x189 + x195 + x201 + x207 + x213 + x219
        + x225 + x231 + x237 + x243 + x249 =L= 0;

e183..  - 384*b13 + x252 + x260 + x268 + x276 + x284 + x292 + x300 + x308
        + x316 + x324 + x332 + x340 + x348 =L= 0;

e184..  - 441*b14 + x253 + x261 + x269 + x277 + x285 + x293 + x301 + x309
        + x317 + x325 + x333 + x341 + x349 =L= 0;

e185..  - 309*b15 + x254 + x262 + x270 + x278 + x286 + x294 + x302 + x310
        + x318 + x326 + x334 + x342 + x350 =L= 0;

e186..  - 233*b16 + x255 + x263 + x271 + x279 + x287 + x295 + x303 + x311
        + x319 + x327 + x335 + x343 + x351 =L= 0;

e187..  - 526*b17 + x178 + x184 + x190 + x196 + x202 + x208 + x214 + x220
        + x226 + x232 + x238 + x244 + x250 =L= 0;

e188..  - 384*b18 + x256 + x264 + x272 + x280 + x288 + x296 + x304 + x312
        + x320 + x328 + x336 + x344 + x352 =L= 0;

e189..  - 203*b19 + x356 + x358 + x360 + x362 + x364 + x366 + x368 + x370
        + x372 + x374 + x376 + x378 + x380 =L= 0;

e190..  - 522*b20 + x50 + x58 + x66 + x74 + x82 + x90 + x98 + x106 + x114
        + x122 + x130 + x138 + x146 =L= 0;

e191..  - 265*b21 + x149 + x151 + x153 + x155 + x157 + x159 + x161 + x163
        + x165 + x167 + x169 + x171 + x173 =L= 0;

e192..  - 152*b22 + x179 + x185 + x191 + x197 + x203 + x209 + x215 + x221
        + x227 + x233 + x239 + x245 + x251 =L= 0;

e193..  - 441*b23 + x257 + x265 + x273 + x281 + x289 + x297 + x305 + x313
        + x321 + x329 + x337 + x345 + x353 =L= 0;

e194..  - 203*b24 + x357 + x359 + x361 + x363 + x365 + x367 + x369 + x371
        + x373 + x375 + x377 + x379 + x381 =L= 0;

e195..  - 284*b25 + x382 + x386 + x390 + x394 + x398 + x402 + x406 + x410
        + x414 + x418 + x422 + x426 + x430 =L= 0;

e196..  - 426*b26 + x383 + x387 + x391 + x395 + x399 + x403 + x407 + x411
        + x415 + x419 + x423 + x427 + x431 =L= 0;

e197..  - 284*b27 + x384 + x388 + x392 + x396 + x400 + x404 + x408 + x412
        + x416 + x420 + x424 + x428 + x432 =L= 0;

e198..  - 109*b28 + x434 + x436 + x438 + x440 + x442 + x444 + x446 + x448
        + x450 + x452 + x454 + x456 + x458 =L= 0;

e199..  - 309*b29 + x258 + x266 + x274 + x282 + x290 + x298 + x306 + x314
        + x322 + x330 + x338 + x346 + x354 =L= 0;

e200..  - 434*b30 + x460 + x462 + x464 + x466 + x468 + x470 + x472 + x474
        + x476 + x478 + x480 + x482 + x484 =L= 0;

e201..  - 141*b31 + x51 + x59 + x67 + x75 + x83 + x91 + x99 + x107 + x115
        + x123 + x131 + x139 + x147 =L= 0;

e202..  - 434*b32 + x461 + x463 + x465 + x467 + x469 + x471 + x473 + x475
        + x477 + x479 + x481 + x483 + x485 =L= 0;

e203..  - 403*b33 + x486 + x488 + x490 + x492 + x494 + x496 + x498 + x500
        + x502 + x504 + x506 + x508 + x510 =L= 0;

e204..  - 426*b34 + x385 + x389 + x393 + x397 + x401 + x405 + x409 + x413
        + x417 + x421 + x425 + x429 + x433 =L= 0;

e205..  - 403*b35 + x487 + x489 + x491 + x493 + x495 + x497 + x499 + x501
        + x503 + x505 + x507 + x509 + x511 =L= 0;

e206..  - 151*b36 + x512 + x514 + x516 + x518 + x520 + x522 + x524 + x526
        + x528 + x530 + x532 + x534 + x536 =L= 0;

e207..  - 233*b37 + x259 + x267 + x275 + x283 + x291 + x299 + x307 + x315
        + x323 + x331 + x339 + x347 + x355 =L= 0;

e208..  - 109*b38 + x435 + x437 + x439 + x441 + x443 + x445 + x447 + x449
        + x451 + x453 + x455 + x457 + x459 =L= 0;

e209..  - 367*b39 + x538 + x540 + x542 + x544 + x546 + x548 + x550 + x552
        + x554 + x556 + x558 + x560 + x562 =L= 0;

e210..  - 367*b40 + x539 + x541 + x543 + x545 + x547 + x549 + x551 + x553
        + x555 + x557 + x559 + x561 + x563 =L= 0;

e211..  - 382*b41 + x564 + x566 + x568 + x570 + x572 + x574 + x576 + x578
        + x580 + x582 + x584 + x586 + x588 =L= 0;

e212..  - 151*b42 + x513 + x515 + x517 + x519 + x521 + x523 + x525 + x527
        + x529 + x531 + x533 + x535 + x537 =L= 0;

e213..  - 382*b43 + x565 + x567 + x569 + x571 + x573 + x575 + x577 + x579
        + x581 + x583 + x585 + x587 + x589 =L= 0;

e214.. (-x590*x44) - 166*x44 + 166*x590 - x590*x52 - 166*x52 - x590*x60 - 166*
       x60 - x590*x68 - 166*x68 - x590*x76 - 166*x76 - x590*x84 - 166*x84 - 
       x590*x92 - 166*x92 - x590*x100 - 166*x100 - x590*x108 - 166*x108 - x590*
       x116 - 166*x116 - x590*x124 - 166*x124 - x590*x132 - 166*x132 - x590*
       x140 - 166*x140 =G= 0;

e215.. (-x591*x45) - 463*x45 + 463*x591 - x591*x53 - 463*x53 - x591*x61 - 463*
       x61 - x591*x69 - 463*x69 - x591*x77 - 463*x77 - x591*x85 - 463*x85 - 
       x591*x93 - 463*x93 - x591*x101 - 463*x101 - x591*x109 - 463*x109 - x591*
       x117 - 463*x117 - x591*x125 - 463*x125 - x591*x133 - 463*x133 - x591*
       x141 - 463*x141 =G= 0;

e216.. (-x592*x46) - 522*x46 + 522*x592 - x592*x54 - 522*x54 - x592*x62 - 522*
       x62 - x592*x70 - 522*x70 - x592*x78 - 522*x78 - x592*x86 - 522*x86 - 
       x592*x94 - 522*x94 - x592*x102 - 522*x102 - x592*x110 - 522*x110 - x592*
       x118 - 522*x118 - x592*x126 - 522*x126 - x592*x134 - 522*x134 - x592*
       x142 - 522*x142 =G= 0;

e217.. (-x593*x47) - 141*x47 + 141*x593 - x593*x55 - 141*x55 - x593*x63 - 141*
       x63 - x593*x71 - 141*x71 - x593*x79 - 141*x79 - x593*x87 - 141*x87 - 
       x593*x95 - 141*x95 - x593*x103 - 141*x103 - x593*x111 - 141*x111 - x593*
       x119 - 141*x119 - x593*x127 - 141*x127 - x593*x135 - 141*x135 - x593*
       x143 - 141*x143 =G= 0;

e218.. (-x594*x48) - 166*x48 + 166*x594 - x594*x56 - 166*x56 - x594*x64 - 166*
       x64 - x594*x72 - 166*x72 - x594*x80 - 166*x80 - x594*x88 - 166*x88 - 
       x594*x96 - 166*x96 - x594*x104 - 166*x104 - x594*x112 - 166*x112 - x594*
       x120 - 166*x120 - x594*x128 - 166*x128 - x594*x136 - 166*x136 - x594*
       x144 - 166*x144 =G= 0;

e219.. (-x595*x148) - 265*x148 + 265*x595 - x595*x150 - 265*x150 - x595*x152 - 
       265*x152 - x595*x154 - 265*x154 - x595*x156 - 265*x156 - x595*x158 - 265
       *x158 - x595*x160 - 265*x160 - x595*x162 - 265*x162 - x595*x164 - 265*
       x164 - x595*x166 - 265*x166 - x595*x168 - 265*x168 - x595*x170 - 265*
       x170 - x595*x172 - 265*x172 =G= 0;

e220.. (-x596*x49) - 463*x49 + 463*x596 - x596*x57 - 463*x57 - x596*x65 - 463*
       x65 - x596*x73 - 463*x73 - x596*x81 - 463*x81 - x596*x89 - 463*x89 - 
       x596*x97 - 463*x97 - x596*x105 - 463*x105 - x596*x113 - 463*x113 - x596*
       x121 - 463*x121 - x596*x129 - 463*x129 - x596*x137 - 463*x137 - x596*
       x145 - 463*x145 =G= 0;

e221.. (-x597*x174) - 456*x174 + 456*x597 - x597*x180 - 456*x180 - x597*x186 - 
       456*x186 - x597*x192 - 456*x192 - x597*x198 - 456*x198 - x597*x204 - 456
       *x204 - x597*x210 - 456*x210 - x597*x216 - 456*x216 - x597*x222 - 456*
       x222 - x597*x228 - 456*x228 - x597*x234 - 456*x234 - x597*x240 - 456*
       x240 - x597*x246 - 456*x246 =G= 0;

e222.. (-x598*x175) - 526*x175 + 526*x598 - x598*x181 - 526*x181 - x598*x187 - 
       526*x187 - x598*x193 - 526*x193 - x598*x199 - 526*x199 - x598*x205 - 526
       *x205 - x598*x211 - 526*x211 - x598*x217 - 526*x217 - x598*x223 - 526*
       x223 - x598*x229 - 526*x229 - x598*x235 - 526*x235 - x598*x241 - 526*
       x241 - x598*x247 - 526*x247 =G= 0;

e223.. (-x599*x176) - 152*x176 + 152*x599 - x599*x182 - 152*x182 - x599*x188 - 
       152*x188 - x599*x194 - 152*x194 - x599*x200 - 152*x200 - x599*x206 - 152
       *x206 - x599*x212 - 152*x212 - x599*x218 - 152*x218 - x599*x224 - 152*
       x224 - x599*x230 - 152*x230 - x599*x236 - 152*x236 - x599*x242 - 152*
       x242 - x599*x248 - 152*x248 =G= 0;

e224.. (-x600*x177) - 456*x177 + 456*x600 - x600*x183 - 456*x183 - x600*x189 - 
       456*x189 - x600*x195 - 456*x195 - x600*x201 - 456*x201 - x600*x207 - 456
       *x207 - x600*x213 - 456*x213 - x600*x219 - 456*x219 - x600*x225 - 456*
       x225 - x600*x231 - 456*x231 - x600*x237 - 456*x237 - x600*x243 - 456*
       x243 - x600*x249 - 456*x249 =G= 0;

e225.. (-x601*x252) - 384*x252 + 384*x601 - x601*x260 - 384*x260 - x601*x268 - 
       384*x268 - x601*x276 - 384*x276 - x601*x284 - 384*x284 - x601*x292 - 384
       *x292 - x601*x300 - 384*x300 - x601*x308 - 384*x308 - x601*x316 - 384*
       x316 - x601*x324 - 384*x324 - x601*x332 - 384*x332 - x601*x340 - 384*
       x340 - x601*x348 - 384*x348 =G= 0;

e226.. (-x602*x253) - 441*x253 + 441*x602 - x602*x261 - 441*x261 - x602*x269 - 
       441*x269 - x602*x277 - 441*x277 - x602*x285 - 441*x285 - x602*x293 - 441
       *x293 - x602*x301 - 441*x301 - x602*x309 - 441*x309 - x602*x317 - 441*
       x317 - x602*x325 - 441*x325 - x602*x333 - 441*x333 - x602*x341 - 441*
       x341 - x602*x349 - 441*x349 =G= 0;

e227.. (-x603*x254) - 309*x254 + 309*x603 - x603*x262 - 309*x262 - x603*x270 - 
       309*x270 - x603*x278 - 309*x278 - x603*x286 - 309*x286 - x603*x294 - 309
       *x294 - x603*x302 - 309*x302 - x603*x310 - 309*x310 - x603*x318 - 309*
       x318 - x603*x326 - 309*x326 - x603*x334 - 309*x334 - x603*x342 - 309*
       x342 - x603*x350 - 309*x350 =G= 0;

e228.. (-x604*x255) - 233*x255 + 233*x604 - x604*x263 - 233*x263 - x604*x271 - 
       233*x271 - x604*x279 - 233*x279 - x604*x287 - 233*x287 - x604*x295 - 233
       *x295 - x604*x303 - 233*x303 - x604*x311 - 233*x311 - x604*x319 - 233*
       x319 - x604*x327 - 233*x327 - x604*x335 - 233*x335 - x604*x343 - 233*
       x343 - x604*x351 - 233*x351 =G= 0;

e229.. (-x605*x178) - 526*x178 + 526*x605 - x605*x184 - 526*x184 - x605*x190 - 
       526*x190 - x605*x196 - 526*x196 - x605*x202 - 526*x202 - x605*x208 - 526
       *x208 - x605*x214 - 526*x214 - x605*x220 - 526*x220 - x605*x226 - 526*
       x226 - x605*x232 - 526*x232 - x605*x238 - 526*x238 - x605*x244 - 526*
       x244 - x605*x250 - 526*x250 =G= 0;

e230.. (-x606*x256) - 384*x256 + 384*x606 - x606*x264 - 384*x264 - x606*x272 - 
       384*x272 - x606*x280 - 384*x280 - x606*x288 - 384*x288 - x606*x296 - 384
       *x296 - x606*x304 - 384*x304 - x606*x312 - 384*x312 - x606*x320 - 384*
       x320 - x606*x328 - 384*x328 - x606*x336 - 384*x336 - x606*x344 - 384*
       x344 - x606*x352 - 384*x352 =G= 0;

e231.. (-x607*x356) - 203*x356 + 203*x607 - x607*x358 - 203*x358 - x607*x360 - 
       203*x360 - x607*x362 - 203*x362 - x607*x364 - 203*x364 - x607*x366 - 203
       *x366 - x607*x368 - 203*x368 - x607*x370 - 203*x370 - x607*x372 - 203*
       x372 - x607*x374 - 203*x374 - x607*x376 - 203*x376 - x607*x378 - 203*
       x378 - x607*x380 - 203*x380 =G= 0;

e232.. (-x608*x50) - 522*x50 + 522*x608 - x608*x58 - 522*x58 - x608*x66 - 522*
       x66 - x608*x74 - 522*x74 - x608*x82 - 522*x82 - x608*x90 - 522*x90 - 
       x608*x98 - 522*x98 - x608*x106 - 522*x106 - x608*x114 - 522*x114 - x608*
       x122 - 522*x122 - x608*x130 - 522*x130 - x608*x138 - 522*x138 - x608*
       x146 - 522*x146 =G= 0;

e233.. (-x609*x149) - 265*x149 + 265*x609 - x609*x151 - 265*x151 - x609*x153 - 
       265*x153 - x609*x155 - 265*x155 - x609*x157 - 265*x157 - x609*x159 - 265
       *x159 - x609*x161 - 265*x161 - x609*x163 - 265*x163 - x609*x165 - 265*
       x165 - x609*x167 - 265*x167 - x609*x169 - 265*x169 - x609*x171 - 265*
       x171 - x609*x173 - 265*x173 =G= 0;

e234.. (-x610*x179) - 152*x179 + 152*x610 - x610*x185 - 152*x185 - x610*x191 - 
       152*x191 - x610*x197 - 152*x197 - x610*x203 - 152*x203 - x610*x209 - 152
       *x209 - x610*x215 - 152*x215 - x610*x221 - 152*x221 - x610*x227 - 152*
       x227 - x610*x233 - 152*x233 - x610*x239 - 152*x239 - x610*x245 - 152*
       x245 - x610*x251 - 152*x251 =G= 0;

e235.. (-x611*x257) - 441*x257 + 441*x611 - x611*x265 - 441*x265 - x611*x273 - 
       441*x273 - x611*x281 - 441*x281 - x611*x289 - 441*x289 - x611*x297 - 441
       *x297 - x611*x305 - 441*x305 - x611*x313 - 441*x313 - x611*x321 - 441*
       x321 - x611*x329 - 441*x329 - x611*x337 - 441*x337 - x611*x345 - 441*
       x345 - x611*x353 - 441*x353 =G= 0;

e236.. (-x612*x357) - 203*x357 + 203*x612 - x612*x359 - 203*x359 - x612*x361 - 
       203*x361 - x612*x363 - 203*x363 - x612*x365 - 203*x365 - x612*x367 - 203
       *x367 - x612*x369 - 203*x369 - x612*x371 - 203*x371 - x612*x373 - 203*
       x373 - x612*x375 - 203*x375 - x612*x377 - 203*x377 - x612*x379 - 203*
       x379 - x612*x381 - 203*x381 =G= 0;

e237.. (-x613*x382) - 284*x382 + 284*x613 - x613*x386 - 284*x386 - x613*x390 - 
       284*x390 - x613*x394 - 284*x394 - x613*x398 - 284*x398 - x613*x402 - 284
       *x402 - x613*x406 - 284*x406 - x613*x410 - 284*x410 - x613*x414 - 284*
       x414 - x613*x418 - 284*x418 - x613*x422 - 284*x422 - x613*x426 - 284*
       x426 - x613*x430 - 284*x430 =G= 0;

e238.. (-x614*x383) - 426*x383 + 426*x614 - x614*x387 - 426*x387 - x614*x391 - 
       426*x391 - x614*x395 - 426*x395 - x614*x399 - 426*x399 - x614*x403 - 426
       *x403 - x614*x407 - 426*x407 - x614*x411 - 426*x411 - x614*x415 - 426*
       x415 - x614*x419 - 426*x419 - x614*x423 - 426*x423 - x614*x427 - 426*
       x427 - x614*x431 - 426*x431 =G= 0;

e239.. (-x615*x384) - 284*x384 + 284*x615 - x615*x388 - 284*x388 - x615*x392 - 
       284*x392 - x615*x396 - 284*x396 - x615*x400 - 284*x400 - x615*x404 - 284
       *x404 - x615*x408 - 284*x408 - x615*x412 - 284*x412 - x615*x416 - 284*
       x416 - x615*x420 - 284*x420 - x615*x424 - 284*x424 - x615*x428 - 284*
       x428 - x615*x432 - 284*x432 =G= 0;

e240.. (-x616*x434) - 109*x434 + 109*x616 - x616*x436 - 109*x436 - x616*x438 - 
       109*x438 - x616*x440 - 109*x440 - x616*x442 - 109*x442 - x616*x444 - 109
       *x444 - x616*x446 - 109*x446 - x616*x448 - 109*x448 - x616*x450 - 109*
       x450 - x616*x452 - 109*x452 - x616*x454 - 109*x454 - x616*x456 - 109*
       x456 - x616*x458 - 109*x458 =G= 0;

e241.. (-x617*x258) - 309*x258 + 309*x617 - x617*x266 - 309*x266 - x617*x274 - 
       309*x274 - x617*x282 - 309*x282 - x617*x290 - 309*x290 - x617*x298 - 309
       *x298 - x617*x306 - 309*x306 - x617*x314 - 309*x314 - x617*x322 - 309*
       x322 - x617*x330 - 309*x330 - x617*x338 - 309*x338 - x617*x346 - 309*
       x346 - x617*x354 - 309*x354 =G= 0;

e242.. (-x618*x460) - 434*x460 + 434*x618 - x618*x462 - 434*x462 - x618*x464 - 
       434*x464 - x618*x466 - 434*x466 - x618*x468 - 434*x468 - x618*x470 - 434
       *x470 - x618*x472 - 434*x472 - x618*x474 - 434*x474 - x618*x476 - 434*
       x476 - x618*x478 - 434*x478 - x618*x480 - 434*x480 - x618*x482 - 434*
       x482 - x618*x484 - 434*x484 =G= 0;

e243.. (-x619*x51) - 141*x51 + 141*x619 - x619*x59 - 141*x59 - x619*x67 - 141*
       x67 - x619*x75 - 141*x75 - x619*x83 - 141*x83 - x619*x91 - 141*x91 - 
       x619*x99 - 141*x99 - x619*x107 - 141*x107 - x619*x115 - 141*x115 - x619*
       x123 - 141*x123 - x619*x131 - 141*x131 - x619*x139 - 141*x139 - x619*
       x147 - 141*x147 =G= 0;

e244.. (-x620*x461) - 434*x461 + 434*x620 - x620*x463 - 434*x463 - x620*x465 - 
       434*x465 - x620*x467 - 434*x467 - x620*x469 - 434*x469 - x620*x471 - 434
       *x471 - x620*x473 - 434*x473 - x620*x475 - 434*x475 - x620*x477 - 434*
       x477 - x620*x479 - 434*x479 - x620*x481 - 434*x481 - x620*x483 - 434*
       x483 - x620*x485 - 434*x485 =G= 0;

e245.. (-x621*x486) - 403*x486 + 403*x621 - x621*x488 - 403*x488 - x621*x490 - 
       403*x490 - x621*x492 - 403*x492 - x621*x494 - 403*x494 - x621*x496 - 403
       *x496 - x621*x498 - 403*x498 - x621*x500 - 403*x500 - x621*x502 - 403*
       x502 - x621*x504 - 403*x504 - x621*x506 - 403*x506 - x621*x508 - 403*
       x508 - x621*x510 - 403*x510 =G= 0;

e246.. (-x622*x385) - 426*x385 + 426*x622 - x622*x389 - 426*x389 - x622*x393 - 
       426*x393 - x622*x397 - 426*x397 - x622*x401 - 426*x401 - x622*x405 - 426
       *x405 - x622*x409 - 426*x409 - x622*x413 - 426*x413 - x622*x417 - 426*
       x417 - x622*x421 - 426*x421 - x622*x425 - 426*x425 - x622*x429 - 426*
       x429 - x622*x433 - 426*x433 =G= 0;

e247.. (-x623*x487) - 403*x487 + 403*x623 - x623*x489 - 403*x489 - x623*x491 - 
       403*x491 - x623*x493 - 403*x493 - x623*x495 - 403*x495 - x623*x497 - 403
       *x497 - x623*x499 - 403*x499 - x623*x501 - 403*x501 - x623*x503 - 403*
       x503 - x623*x505 - 403*x505 - x623*x507 - 403*x507 - x623*x509 - 403*
       x509 - x623*x511 - 403*x511 =G= 0;

e248.. (-x624*x512) - 151*x512 + 151*x624 - x624*x514 - 151*x514 - x624*x516 - 
       151*x516 - x624*x518 - 151*x518 - x624*x520 - 151*x520 - x624*x522 - 151
       *x522 - x624*x524 - 151*x524 - x624*x526 - 151*x526 - x624*x528 - 151*
       x528 - x624*x530 - 151*x530 - x624*x532 - 151*x532 - x624*x534 - 151*
       x534 - x624*x536 - 151*x536 =G= 0;

e249.. (-x625*x259) - 233*x259 + 233*x625 - x625*x267 - 233*x267 - x625*x275 - 
       233*x275 - x625*x283 - 233*x283 - x625*x291 - 233*x291 - x625*x299 - 233
       *x299 - x625*x307 - 233*x307 - x625*x315 - 233*x315 - x625*x323 - 233*
       x323 - x625*x331 - 233*x331 - x625*x339 - 233*x339 - x625*x347 - 233*
       x347 - x625*x355 - 233*x355 =G= 0;

e250.. (-x626*x435) - 109*x435 + 109*x626 - x626*x437 - 109*x437 - x626*x439 - 
       109*x439 - x626*x441 - 109*x441 - x626*x443 - 109*x443 - x626*x445 - 109
       *x445 - x626*x447 - 109*x447 - x626*x449 - 109*x449 - x626*x451 - 109*
       x451 - x626*x453 - 109*x453 - x626*x455 - 109*x455 - x626*x457 - 109*
       x457 - x626*x459 - 109*x459 =G= 0;

e251.. (-x627*x538) - 367*x538 + 367*x627 - x627*x540 - 367*x540 - x627*x542 - 
       367*x542 - x627*x544 - 367*x544 - x627*x546 - 367*x546 - x627*x548 - 367
       *x548 - x627*x550 - 367*x550 - x627*x552 - 367*x552 - x627*x554 - 367*
       x554 - x627*x556 - 367*x556 - x627*x558 - 367*x558 - x627*x560 - 367*
       x560 - x627*x562 - 367*x562 =G= 0;

e252.. (-x628*x539) - 367*x539 + 367*x628 - x628*x541 - 367*x541 - x628*x543 - 
       367*x543 - x628*x545 - 367*x545 - x628*x547 - 367*x547 - x628*x549 - 367
       *x549 - x628*x551 - 367*x551 - x628*x553 - 367*x553 - x628*x555 - 367*
       x555 - x628*x557 - 367*x557 - x628*x559 - 367*x559 - x628*x561 - 367*
       x561 - x628*x563 - 367*x563 =G= 0;

e253.. (-x629*x564) - 382*x564 + 382*x629 - x629*x566 - 382*x566 - x629*x568 - 
       382*x568 - x629*x570 - 382*x570 - x629*x572 - 382*x572 - x629*x574 - 382
       *x574 - x629*x576 - 382*x576 - x629*x578 - 382*x578 - x629*x580 - 382*
       x580 - x629*x582 - 382*x582 - x629*x584 - 382*x584 - x629*x586 - 382*
       x586 - x629*x588 - 382*x588 =G= 0;

e254.. (-x630*x513) - 151*x513 + 151*x630 - x630*x515 - 151*x515 - x630*x517 - 
       151*x517 - x630*x519 - 151*x519 - x630*x521 - 151*x521 - x630*x523 - 151
       *x523 - x630*x525 - 151*x525 - x630*x527 - 151*x527 - x630*x529 - 151*
       x529 - x630*x531 - 151*x531 - x630*x533 - 151*x533 - x630*x535 - 151*
       x535 - x630*x537 - 151*x537 =G= 0;

e255.. (-x631*x565) - 382*x565 + 382*x631 - x631*x567 - 382*x567 - x631*x569 - 
       382*x569 - x631*x571 - 382*x571 - x631*x573 - 382*x573 - x631*x575 - 382
       *x575 - x631*x577 - 382*x577 - x631*x579 - 382*x579 - x631*x581 - 382*
       x581 - x631*x583 - 382*x583 - x631*x585 - 382*x585 - x631*x587 - 382*
       x587 - x631*x589 - 382*x589 =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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