QPLIB

A Library of Quadratic Programming Instances

Home // browse instances // view statistics // read documentation // download QPLIB archive [ 1.5G ]

QPLIB_3625

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 106.35415480 (gdx, sol)
Solution point infeasibility solinfeasibility 2.1828e-11
Donor donor Stefan Vigerske
#Variables nvars 644
#Binary Variables nbinvars 46
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 598
#Nonlinear Variables nnlvars 598
#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 46
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 237
#Linear Constraints nlincons 191
#Quadratic Constraints nquadcons 46
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 46
#Nonzeros in Jacobian njacobiannz 2346
#Nonlinear Nonzeros in Jacobian njacobiannlnz 598
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 1104
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 46
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_3625.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        238      145       46       47        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        645      599       46        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2393     1795      598        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,b44,b45,b46,b47,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;

Positive Variables  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;

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,b44,b45,b46,b47;

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;


e1..  - objvar + 1.235768455*b2 + 1.754882812*b3 + 3.159455914*b4
      + 3.980618566*b5 + 2.905401043*b6 + 2.524310515*b7 + 3.289509208*b8
      + 1.235768455*b9 + 2.516549044*b10 + 2.174517481*b11 + 2.402340784*b12
      + 1.754882812*b13 + 3.153941476*b14 + 2.649872155*b15 + 2.46690751*b16
      + 3.159455914*b17 + 2.46690751*b18 + 1.583424277*b19 + 3.980618566*b20
      + 3.153941476*b21 + 1.572334903*b22 + 2.905401043*b23 + 2.516549044*b24
      + 1.572334903*b25 + 1.097733808*b26 + 2.174517481*b27 + 1.097733808*b28
      + 2.95175038*b29 + 2.477930353*b30 + 1.425428344*b31 + 2.95175038*b32
      + 1.694724004*b33 + 2.524310515*b34 + 1.694724004*b35 + 3.787543429*b36
      + 1.759730596*b37 + 2.402340784*b38 + 1.583424277*b39 + 2.477930353*b40
      + 3.787543429*b41 + 1.492267639*b42 + 3.289509208*b43 + 2.649872155*b44
      + 1.425428344*b45 + 1.759730596*b46 + 1.492267639*b47 =E= 0;

e2..  - x48 - x49 - x50 - x51 - x52 - x53 - x54 + x55 + x56 + x57 + x58 + x59
      + x60 + x61 =E= -149;

e3..  - x62 - x63 - x64 - x65 - x66 - x67 - x68 + x69 + x70 + x71 + x72 + x73
      + x74 + x75 =E= 20;

e4..  - x76 - x77 - x78 - x79 - x80 - x81 - x82 + x83 + x84 + x85 + x86 + x87
      + x88 + x89 =E= 13;

e5..  - x90 - x91 - x92 - x93 - x94 - x95 - x96 + x97 + x98 + x99 + x100 + x101
      + x102 + x103 =E= 11;

e6..  - x104 - x105 - x106 - x107 - x108 - x109 - x110 + x111 + x112 + x113
      + x114 + x115 + x116 + x117 =E= 13;

e7..  - x118 - x119 - x120 - x121 - x122 - x123 - x124 + x125 + x126 + x127
      + x128 + x129 + x130 + x131 =E= 11;

e8..  - x132 - x133 - x134 - x135 - x136 - x137 - x138 + x139 + x140 + x141
      + x142 + x143 + x144 + x145 =E= 18;

e9..  - x146 - x147 - x148 - x149 - x150 - x151 - x152 + x153 + x154 + x155
      + x156 + x157 + x158 + x159 =E= 19;

e10..  - x160 - x161 - x162 - x163 - x164 - x165 - x166 + x167 + x168 + x169
       + x170 + x171 + x172 + x173 =E= 14;

e11..  - x174 - x175 - x176 - x177 - x178 - x179 - x180 + x181 + x182 + x183
       + x184 + x185 + x186 + x187 =E= 15;

e12..  - x188 - x189 - x190 - x191 - x192 - x193 - x194 + x195 + x196 + x197
       + x198 + x199 + x200 + x201 =E= 20;

e13..  - x202 - x203 - x204 - x205 - x206 - x207 - x208 + x209 + x210 + x211
       + x212 + x213 + x214 + x215 =E= 22;

e14..    x48 - x55 - x216 - x217 - x218 + x219 + x220 + x221 =E= 12;

e15..    x62 - x69 - x222 - x223 - x224 + x225 + x226 + x227 =E= -178;

e16..    x76 - x83 - x228 - x229 - x230 + x231 + x232 + x233 =E= 7;

e17..    x90 - x97 - x234 - x235 - x236 + x237 + x238 + x239 =E= 6;

e18..    x104 - x111 - x240 - x241 - x242 + x243 + x244 + x245 =E= 25;

e19..    x118 - x125 - x246 - x247 - x248 + x249 + x250 + x251 =E= 25;

e20..    x132 - x139 - x252 - x253 - x254 + x255 + x256 + x257 =E= 25;

e21..    x146 - x153 - x258 - x259 - x260 + x261 + x262 + x263 =E= 23;

e22..    x160 - x167 - x264 - x265 - x266 + x267 + x268 + x269 =E= 8;

e23..    x174 - x181 - x270 - x271 - x272 + x273 + x274 + x275 =E= 7;

e24..    x188 - x195 - x276 - x277 - x278 + x279 + x280 + x281 =E= 20;

e25..    x202 - x209 - x282 - x283 - x284 + x285 + x286 + x287 =E= 14;

e26..    x49 - x56 - x288 - x289 + x290 + x291 =E= 6;

e27..    x63 - x70 - x292 - x293 + x294 + x295 =E= 21;

e28..    x77 - x84 - x296 - x297 + x298 + x299 =E= -157;

e29..    x91 - x98 - x300 - x301 + x302 + x303 =E= 25;

e30..    x105 - x112 - x304 - x305 + x306 + x307 =E= 18;

e31..    x119 - x126 - x308 - x309 + x310 + x311 =E= 23;

e32..    x133 - x140 - x312 - x313 + x314 + x315 =E= 22;

e33..    x147 - x154 - x316 - x317 + x318 + x319 =E= 19;

e34..    x161 - x168 - x320 - x321 + x322 + x323 =E= 18;

e35..    x175 - x182 - x324 - x325 + x326 + x327 =E= 21;

e36..    x189 - x196 - x328 - x329 + x330 + x331 =E= 24;

e37..    x203 - x210 - x332 - x333 + x334 + x335 =E= 16;

e38..  - x336 + x337 =E= 18;

e39..  - x338 + x339 =E= 24;

e40..  - x340 + x341 =E= 9;

e41..  - x342 + x343 =E= -183;

e42..  - x344 + x345 =E= 12;

e43..  - x346 + x347 =E= 16;

e44..  - x348 + x349 =E= 6;

e45..  - x350 + x351 =E= 14;

e46..  - x352 + x353 =E= 23;

e47..  - x354 + x355 =E= 14;

e48..  - x356 + x357 =E= 18;

e49..  - x358 + x359 =E= 24;

e50..    x50 - x57 + x336 - x337 - x360 + x361 =E= 5;

e51..    x64 - x71 + x338 - x339 - x362 + x363 =E= 12;

e52..    x78 - x85 + x340 - x341 - x364 + x365 =E= 19;

e53..    x92 - x99 + x342 - x343 - x366 + x367 =E= 22;

e54..    x106 - x113 + x344 - x345 - x368 + x369 =E= -179;

e55..    x120 - x127 + x346 - x347 - x370 + x371 =E= 22;

e56..    x134 - x141 + x348 - x349 - x372 + x373 =E= 9;

e57..    x148 - x155 + x350 - x351 - x374 + x375 =E= 6;

e58..    x162 - x169 + x352 - x353 - x376 + x377 =E= 6;

e59..    x176 - x183 + x354 - x355 - x378 + x379 =E= 21;

e60..    x190 - x197 + x356 - x357 - x380 + x381 =E= 6;

e61..    x204 - x211 + x358 - x359 - x382 + x383 =E= 22;

e62..    x51 - x58 + x288 - x290 - x384 + x385 =E= 13;

e63..    x65 - x72 + x292 - x294 - x386 + x387 =E= 12;

e64..    x79 - x86 + x296 - x298 - x388 + x389 =E= 23;

e65..    x93 - x100 + x300 - x302 - x390 + x391 =E= 16;

e66..    x107 - x114 + x304 - x306 - x392 + x393 =E= 7;

e67..    x121 - x128 + x308 - x310 - x394 + x395 =E= -178;

e68..    x135 - x142 + x312 - x314 - x396 + x397 =E= 19;

e69..    x149 - x156 + x316 - x318 - x398 + x399 =E= 25;

e70..    x163 - x170 + x320 - x322 - x400 + x401 =E= 13;

e71..    x177 - x184 + x324 - x326 - x402 + x403 =E= 17;

e72..    x191 - x198 + x328 - x330 - x404 + x405 =E= 24;

e73..    x205 - x212 + x332 - x334 - x406 + x407 =E= 8;

e74..    x52 - x59 + x216 - x219 + x384 - x385 - x408 + x409 =E= 9;

e75..    x66 - x73 + x222 - x225 + x386 - x387 - x410 + x411 =E= 20;

e76..    x80 - x87 + x228 - x231 + x388 - x389 - x412 + x413 =E= 21;

e77..    x94 - x101 + x234 - x237 + x390 - x391 - x414 + x415 =E= 22;

e78..    x108 - x115 + x240 - x243 + x392 - x393 - x416 + x417 =E= 6;

e79..    x122 - x129 + x246 - x249 + x394 - x395 - x418 + x419 =E= 8;

e80..    x136 - x143 + x252 - x255 + x396 - x397 - x420 + x421 =E= -162;

e81..    x150 - x157 + x258 - x261 + x398 - x399 - x422 + x423 =E= 22;

e82..    x164 - x171 + x264 - x267 + x400 - x401 - x424 + x425 =E= 19;

e83..    x178 - x185 + x270 - x273 + x402 - x403 - x426 + x427 =E= 17;

e84..    x192 - x199 + x276 - x279 + x404 - x405 - x428 + x429 =E= 11;

e85..    x206 - x213 + x282 - x285 + x406 - x407 - x430 + x431 =E= 16;

e86..    x217 - x220 + x408 - x409 - x432 - x433 - x434 + x435 + x436 + x437
       =E= 23;

e87..    x223 - x226 + x410 - x411 - x438 - x439 - x440 + x441 + x442 + x443
       =E= 11;

e88..    x229 - x232 + x412 - x413 - x444 - x445 - x446 + x447 + x448 + x449
       =E= 21;

e89..    x235 - x238 + x414 - x415 - x450 - x451 - x452 + x453 + x454 + x455
       =E= 23;

e90..    x241 - x244 + x416 - x417 - x456 - x457 - x458 + x459 + x460 + x461
       =E= 13;

e91..    x247 - x250 + x418 - x419 - x462 - x463 - x464 + x465 + x466 + x467
       =E= 18;

e92..    x253 - x256 + x420 - x421 - x468 - x469 - x470 + x471 + x472 + x473
       =E= 8;

e93..    x259 - x262 + x422 - x423 - x474 - x475 - x476 + x477 + x478 + x479
       =E= -176;

e94..    x265 - x268 + x424 - x425 - x480 - x481 - x482 + x483 + x484 + x485
       =E= 12;

e95..    x271 - x274 + x426 - x427 - x486 - x487 - x488 + x489 + x490 + x491
       =E= 15;

e96..    x277 - x280 + x428 - x429 - x492 - x493 - x494 + x495 + x496 + x497
       =E= 7;

e97..    x283 - x286 + x430 - x431 - x498 - x499 - x500 + x501 + x502 + x503
       =E= 22;

e98..    x432 - x435 - x504 + x505 =E= 21;

e99..    x438 - x441 - x506 + x507 =E= 10;

e100..    x444 - x447 - x508 + x509 =E= 7;

e101..    x450 - x453 - x510 + x511 =E= 14;

e102..    x456 - x459 - x512 + x513 =E= 14;

e103..    x462 - x465 - x514 + x515 =E= 11;

e104..    x468 - x471 - x516 + x517 =E= 15;

e105..    x474 - x477 - x518 + x519 =E= 16;

e106..    x480 - x483 - x520 + x521 =E= -139;

e107..    x486 - x489 - x522 + x523 =E= 25;

e108..    x492 - x495 - x524 + x525 =E= 23;

e109..    x498 - x501 - x526 + x527 =E= 14;

e110..    x53 - x60 + x504 - x505 - x528 - x529 + x530 + x531 =E= 12;

e111..    x67 - x74 + x506 - x507 - x532 - x533 + x534 + x535 =E= 21;

e112..    x81 - x88 + x508 - x509 - x536 - x537 + x538 + x539 =E= 10;

e113..    x95 - x102 + x510 - x511 - x540 - x541 + x542 + x543 =E= 19;

e114..    x109 - x116 + x512 - x513 - x544 - x545 + x546 + x547 =E= 23;

e115..    x123 - x130 + x514 - x515 - x548 - x549 + x550 + x551 =E= 17;

e116..    x137 - x144 + x516 - x517 - x552 - x553 + x554 + x555 =E= 11;

e117..    x151 - x158 + x518 - x519 - x556 - x557 + x558 + x559 =E= 13;

e118..    x165 - x172 + x520 - x521 - x560 - x561 + x562 + x563 =E= 11;

e119..    x179 - x186 + x522 - x523 - x564 - x565 + x566 + x567 =E= -191;

e120..    x193 - x200 + x524 - x525 - x568 - x569 + x570 + x571 =E= 18;

e121..    x207 - x214 + x526 - x527 - x572 - x573 + x574 + x575 =E= 15;

e122..    x218 - x221 + x360 - x361 + x433 - x436 + x528 - x530 - x576 + x577
        =E= 15;

e123..    x224 - x227 + x362 - x363 + x439 - x442 + x532 - x534 - x578 + x579
        =E= 13;

e124..    x230 - x233 + x364 - x365 + x445 - x448 + x536 - x538 - x580 + x581
        =E= 6;

e125..    x236 - x239 + x366 - x367 + x451 - x454 + x540 - x542 - x582 + x583
        =E= 13;

e126..    x242 - x245 + x368 - x369 + x457 - x460 + x544 - x546 - x584 + x585
        =E= 25;

e127..    x248 - x251 + x370 - x371 + x463 - x466 + x548 - x550 - x586 + x587
        =E= 13;

e128..    x254 - x257 + x372 - x373 + x469 - x472 + x552 - x554 - x588 + x589
        =E= 14;

e129..    x260 - x263 + x374 - x375 + x475 - x478 + x556 - x558 - x590 + x591
        =E= 14;

e130..    x266 - x269 + x376 - x377 + x481 - x484 + x560 - x562 - x592 + x593
        =E= 9;

e131..    x272 - x275 + x378 - x379 + x487 - x490 + x564 - x566 - x594 + x595
        =E= 19;

e132..    x278 - x281 + x380 - x381 + x493 - x496 + x568 - x570 - x596 + x597
        =E= -193;

e133..    x284 - x287 + x382 - x383 + x499 - x502 + x572 - x574 - x598 + x599
        =E= 17;

e134..    x54 - x61 + x289 - x291 + x434 - x437 + x529 - x531 + x576 - x577
        =E= 15;

e135..    x68 - x75 + x293 - x295 + x440 - x443 + x533 - x535 + x578 - x579
        =E= 14;

e136..    x82 - x89 + x297 - x299 + x446 - x449 + x537 - x539 + x580 - x581
        =E= 21;

e137..    x96 - x103 + x301 - x303 + x452 - x455 + x541 - x543 + x582 - x583
        =E= 12;

e138..    x110 - x117 + x305 - x307 + x458 - x461 + x545 - x547 + x584 - x585
        =E= 23;

e139..    x124 - x131 + x309 - x311 + x464 - x467 + x549 - x551 + x586 - x587
        =E= 14;

e140..    x138 - x145 + x313 - x315 + x470 - x473 + x553 - x555 + x588 - x589
        =E= 15;

e141..    x152 - x159 + x317 - x319 + x476 - x479 + x557 - x559 + x590 - x591
        =E= 5;

e142..    x166 - x173 + x321 - x323 + x482 - x485 + x561 - x563 + x592 - x593
        =E= 6;

e143..    x180 - x187 + x325 - x327 + x488 - x491 + x565 - x567 + x594 - x595
        =E= 20;

e144..    x194 - x201 + x329 - x331 + x494 - x497 + x569 - x571 + x596 - x597
        =E= 22;

e145..    x208 - x215 + x333 - x335 + x500 - x503 + x573 - x575 + x598 - x599
        =E= -190;

e146..    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 =L= 6225;

e147..  - 293*b2 + x48 + x62 + x76 + x90 + x104 + x118 + x132 + x146 + x160
        + x174 + x188 + x202 =L= 0;

e148..  - 192*b3 + x49 + x63 + x77 + x91 + x105 + x119 + x133 + x147 + x161
        + x175 + x189 + x203 =L= 0;

e149..  - 417*b4 + x50 + x64 + x78 + x92 + x106 + x120 + x134 + x148 + x162
        + x176 + x190 + x204 =L= 0;

e150..  - 427*b5 + x51 + x65 + x79 + x93 + x107 + x121 + x135 + x149 + x163
        + x177 + x191 + x205 =L= 0;

e151..  - 295*b6 + x52 + x66 + x80 + x94 + x108 + x122 + x136 + x150 + x164
        + x178 + x192 + x206 =L= 0;

e152..  - 280*b7 + x53 + x67 + x81 + x95 + x109 + x123 + x137 + x151 + x165
        + x179 + x193 + x207 =L= 0;

e153..  - 337*b8 + x54 + x68 + x82 + x96 + x110 + x124 + x138 + x152 + x166
        + x180 + x194 + x208 =L= 0;

e154..  - 293*b9 + x55 + x69 + x83 + x97 + x111 + x125 + x139 + x153 + x167
        + x181 + x195 + x209 =L= 0;

e155..  - 341*b10 + x216 + x222 + x228 + x234 + x240 + x246 + x252 + x258
        + x264 + x270 + x276 + x282 =L= 0;

e156..  - 276*b11 + x217 + x223 + x229 + x235 + x241 + x247 + x253 + x259
        + x265 + x271 + x277 + x283 =L= 0;

e157..  - 119*b12 + x218 + x224 + x230 + x236 + x242 + x248 + x254 + x260
        + x266 + x272 + x278 + x284 =L= 0;

e158..  - 192*b13 + x56 + x70 + x84 + x98 + x112 + x126 + x140 + x154 + x168
        + x182 + x196 + x210 =L= 0;

e159..  - 347*b14 + x288 + x292 + x296 + x300 + x304 + x308 + x312 + x316
        + x320 + x324 + x328 + x332 =L= 0;

e160..  - 398*b15 + x289 + x293 + x297 + x301 + x305 + x309 + x313 + x317
        + x321 + x325 + x329 + x333 =L= 0;

e161..  - 359*b16 + x336 + x338 + x340 + x342 + x344 + x346 + x348 + x350
        + x352 + x354 + x356 + x358 =L= 0;

e162..  - 417*b17 + x57 + x71 + x85 + x99 + x113 + x127 + x141 + x155 + x169
        + x183 + x197 + x211 =L= 0;

e163..  - 359*b18 + x337 + x339 + x341 + x343 + x345 + x347 + x349 + x351
        + x353 + x355 + x357 + x359 =L= 0;

e164..  - 193*b19 + x360 + x362 + x364 + x366 + x368 + x370 + x372 + x374
        + x376 + x378 + x380 + x382 =L= 0;

e165..  - 427*b20 + x58 + x72 + x86 + x100 + x114 + x128 + x142 + x156 + x170
        + x184 + x198 + x212 =L= 0;

e166..  - 347*b21 + x290 + x294 + x298 + x302 + x306 + x310 + x314 + x318
        + x322 + x326 + x330 + x334 =L= 0;

e167..  - 218*b22 + x384 + x386 + x388 + x390 + x392 + x394 + x396 + x398
        + x400 + x402 + x404 + x406 =L= 0;

e168..  - 295*b23 + x59 + x73 + x87 + x101 + x115 + x129 + x143 + x157 + x171
        + x185 + x199 + x213 =L= 0;

e169..  - 341*b24 + x219 + x225 + x231 + x237 + x243 + x249 + x255 + x261
        + x267 + x273 + x279 + x285 =L= 0;

e170..  - 218*b25 + x385 + x387 + x389 + x391 + x393 + x395 + x397 + x399
        + x401 + x403 + x405 + x407 =L= 0;

e171..  - 134*b26 + x408 + x410 + x412 + x414 + x416 + x418 + x420 + x422
        + x424 + x426 + x428 + x430 =L= 0;

e172..  - 276*b27 + x220 + x226 + x232 + x238 + x244 + x250 + x256 + x262
        + x268 + x274 + x280 + x286 =L= 0;

e173..  - 134*b28 + x409 + x411 + x413 + x415 + x417 + x419 + x421 + x423
        + x425 + x427 + x429 + x431 =L= 0;

e174..  - 200*b29 + x432 + x438 + x444 + x450 + x456 + x462 + x468 + x474
        + x480 + x486 + x492 + x498 =L= 0;

e175..  - 222*b30 + x433 + x439 + x445 + x451 + x457 + x463 + x469 + x475
        + x481 + x487 + x493 + x499 =L= 0;

e176..  - 196*b31 + x434 + x440 + x446 + x452 + x458 + x464 + x470 + x476
        + x482 + x488 + x494 + x500 =L= 0;

e177..  - 200*b32 + x435 + x441 + x447 + x453 + x459 + x465 + x471 + x477
        + x483 + x489 + x495 + x501 =L= 0;

e178..  - 129*b33 + x504 + x506 + x508 + x510 + x512 + x514 + x516 + x518
        + x520 + x522 + x524 + x526 =L= 0;

e179..  - 280*b34 + x60 + x74 + x88 + x102 + x116 + x130 + x144 + x158 + x172
        + x186 + x200 + x214 =L= 0;

e180..  - 129*b35 + x505 + x507 + x509 + x511 + x513 + x515 + x517 + x519
        + x521 + x523 + x525 + x527 =L= 0;

e181..  - 382*b36 + x528 + x532 + x536 + x540 + x544 + x548 + x552 + x556
        + x560 + x564 + x568 + x572 =L= 0;

e182..  - 424*b37 + x529 + x533 + x537 + x541 + x545 + x549 + x553 + x557
        + x561 + x565 + x569 + x573 =L= 0;

e183..  - 119*b38 + x221 + x227 + x233 + x239 + x245 + x251 + x257 + x263
        + x269 + x275 + x281 + x287 =L= 0;

e184..  - 193*b39 + x361 + x363 + x365 + x367 + x369 + x371 + x373 + x375
        + x377 + x379 + x381 + x383 =L= 0;

e185..  - 222*b40 + x436 + x442 + x448 + x454 + x460 + x466 + x472 + x478
        + x484 + x490 + x496 + x502 =L= 0;

e186..  - 382*b41 + x530 + x534 + x538 + x542 + x546 + x550 + x554 + x558
        + x562 + x566 + x570 + x574 =L= 0;

e187..  - 275*b42 + x576 + x578 + x580 + x582 + x584 + x586 + x588 + x590
        + x592 + x594 + x596 + x598 =L= 0;

e188..  - 337*b43 + x61 + x75 + x89 + x103 + x117 + x131 + x145 + x159 + x173
        + x187 + x201 + x215 =L= 0;

e189..  - 398*b44 + x291 + x295 + x299 + x303 + x307 + x311 + x315 + x319
        + x323 + x327 + x331 + x335 =L= 0;

e190..  - 196*b45 + x437 + x443 + x449 + x455 + x461 + x467 + x473 + x479
        + x485 + x491 + x497 + x503 =L= 0;

e191..  - 424*b46 + x531 + x535 + x539 + x543 + x547 + x551 + x555 + x559
        + x563 + x567 + x571 + x575 =L= 0;

e192..  - 275*b47 + x577 + x579 + x581 + x583 + x585 + x587 + x589 + x591
        + x593 + x595 + x597 + x599 =L= 0;

e193.. (-x600*x48) - 293*x48 + 293*x600 - x600*x62 - 293*x62 - x600*x76 - 293*
       x76 - x600*x90 - 293*x90 - x600*x104 - 293*x104 - x600*x118 - 293*x118
        - x600*x132 - 293*x132 - x600*x146 - 293*x146 - x600*x160 - 293*x160 - 
       x600*x174 - 293*x174 - x600*x188 - 293*x188 - x600*x202 - 293*x202 =G= 0
       ;

e194.. (-x601*x49) - 192*x49 + 192*x601 - x601*x63 - 192*x63 - x601*x77 - 192*
       x77 - x601*x91 - 192*x91 - x601*x105 - 192*x105 - x601*x119 - 192*x119
        - x601*x133 - 192*x133 - x601*x147 - 192*x147 - x601*x161 - 192*x161 - 
       x601*x175 - 192*x175 - x601*x189 - 192*x189 - x601*x203 - 192*x203 =G= 0
       ;

e195.. (-x602*x50) - 417*x50 + 417*x602 - x602*x64 - 417*x64 - x602*x78 - 417*
       x78 - x602*x92 - 417*x92 - x602*x106 - 417*x106 - x602*x120 - 417*x120
        - x602*x134 - 417*x134 - x602*x148 - 417*x148 - x602*x162 - 417*x162 - 
       x602*x176 - 417*x176 - x602*x190 - 417*x190 - x602*x204 - 417*x204 =G= 0
       ;

e196.. (-x603*x51) - 427*x51 + 427*x603 - x603*x65 - 427*x65 - x603*x79 - 427*
       x79 - x603*x93 - 427*x93 - x603*x107 - 427*x107 - x603*x121 - 427*x121
        - x603*x135 - 427*x135 - x603*x149 - 427*x149 - x603*x163 - 427*x163 - 
       x603*x177 - 427*x177 - x603*x191 - 427*x191 - x603*x205 - 427*x205 =G= 0
       ;

e197.. (-x604*x52) - 295*x52 + 295*x604 - x604*x66 - 295*x66 - x604*x80 - 295*
       x80 - x604*x94 - 295*x94 - x604*x108 - 295*x108 - x604*x122 - 295*x122
        - x604*x136 - 295*x136 - x604*x150 - 295*x150 - x604*x164 - 295*x164 - 
       x604*x178 - 295*x178 - x604*x192 - 295*x192 - x604*x206 - 295*x206 =G= 0
       ;

e198.. (-x605*x53) - 280*x53 + 280*x605 - x605*x67 - 280*x67 - x605*x81 - 280*
       x81 - x605*x95 - 280*x95 - x605*x109 - 280*x109 - x605*x123 - 280*x123
        - x605*x137 - 280*x137 - x605*x151 - 280*x151 - x605*x165 - 280*x165 - 
       x605*x179 - 280*x179 - x605*x193 - 280*x193 - x605*x207 - 280*x207 =G= 0
       ;

e199.. (-x606*x54) - 337*x54 + 337*x606 - x606*x68 - 337*x68 - x606*x82 - 337*
       x82 - x606*x96 - 337*x96 - x606*x110 - 337*x110 - x606*x124 - 337*x124
        - x606*x138 - 337*x138 - x606*x152 - 337*x152 - x606*x166 - 337*x166 - 
       x606*x180 - 337*x180 - x606*x194 - 337*x194 - x606*x208 - 337*x208 =G= 0
       ;

e200.. (-x607*x55) - 293*x55 + 293*x607 - x607*x69 - 293*x69 - x607*x83 - 293*
       x83 - x607*x97 - 293*x97 - x607*x111 - 293*x111 - x607*x125 - 293*x125
        - x607*x139 - 293*x139 - x607*x153 - 293*x153 - x607*x167 - 293*x167 - 
       x607*x181 - 293*x181 - x607*x195 - 293*x195 - x607*x209 - 293*x209 =G= 0
       ;

e201.. (-x608*x216) - 341*x216 + 341*x608 - x608*x222 - 341*x222 - x608*x228 - 
       341*x228 - x608*x234 - 341*x234 - x608*x240 - 341*x240 - x608*x246 - 341
       *x246 - x608*x252 - 341*x252 - x608*x258 - 341*x258 - x608*x264 - 341*
       x264 - x608*x270 - 341*x270 - x608*x276 - 341*x276 - x608*x282 - 341*
       x282 =G= 0;

e202.. (-x609*x217) - 276*x217 + 276*x609 - x609*x223 - 276*x223 - x609*x229 - 
       276*x229 - x609*x235 - 276*x235 - x609*x241 - 276*x241 - x609*x247 - 276
       *x247 - x609*x253 - 276*x253 - x609*x259 - 276*x259 - x609*x265 - 276*
       x265 - x609*x271 - 276*x271 - x609*x277 - 276*x277 - x609*x283 - 276*
       x283 =G= 0;

e203.. (-x610*x218) - 119*x218 + 119*x610 - x610*x224 - 119*x224 - x610*x230 - 
       119*x230 - x610*x236 - 119*x236 - x610*x242 - 119*x242 - x610*x248 - 119
       *x248 - x610*x254 - 119*x254 - x610*x260 - 119*x260 - x610*x266 - 119*
       x266 - x610*x272 - 119*x272 - x610*x278 - 119*x278 - x610*x284 - 119*
       x284 =G= 0;

e204.. (-x611*x56) - 192*x56 + 192*x611 - x611*x70 - 192*x70 - x611*x84 - 192*
       x84 - x611*x98 - 192*x98 - x611*x112 - 192*x112 - x611*x126 - 192*x126
        - x611*x140 - 192*x140 - x611*x154 - 192*x154 - x611*x168 - 192*x168 - 
       x611*x182 - 192*x182 - x611*x196 - 192*x196 - x611*x210 - 192*x210 =G= 0
       ;

e205.. (-x612*x288) - 347*x288 + 347*x612 - x612*x292 - 347*x292 - x612*x296 - 
       347*x296 - x612*x300 - 347*x300 - x612*x304 - 347*x304 - x612*x308 - 347
       *x308 - x612*x312 - 347*x312 - x612*x316 - 347*x316 - x612*x320 - 347*
       x320 - x612*x324 - 347*x324 - x612*x328 - 347*x328 - x612*x332 - 347*
       x332 =G= 0;

e206.. (-x613*x289) - 398*x289 + 398*x613 - x613*x293 - 398*x293 - x613*x297 - 
       398*x297 - x613*x301 - 398*x301 - x613*x305 - 398*x305 - x613*x309 - 398
       *x309 - x613*x313 - 398*x313 - x613*x317 - 398*x317 - x613*x321 - 398*
       x321 - x613*x325 - 398*x325 - x613*x329 - 398*x329 - x613*x333 - 398*
       x333 =G= 0;

e207.. (-x614*x336) - 359*x336 + 359*x614 - x614*x338 - 359*x338 - x614*x340 - 
       359*x340 - x614*x342 - 359*x342 - x614*x344 - 359*x344 - x614*x346 - 359
       *x346 - x614*x348 - 359*x348 - x614*x350 - 359*x350 - x614*x352 - 359*
       x352 - x614*x354 - 359*x354 - x614*x356 - 359*x356 - x614*x358 - 359*
       x358 =G= 0;

e208.. (-x615*x57) - 417*x57 + 417*x615 - x615*x71 - 417*x71 - x615*x85 - 417*
       x85 - x615*x99 - 417*x99 - x615*x113 - 417*x113 - x615*x127 - 417*x127
        - x615*x141 - 417*x141 - x615*x155 - 417*x155 - x615*x169 - 417*x169 - 
       x615*x183 - 417*x183 - x615*x197 - 417*x197 - x615*x211 - 417*x211 =G= 0
       ;

e209.. (-x616*x337) - 359*x337 + 359*x616 - x616*x339 - 359*x339 - x616*x341 - 
       359*x341 - x616*x343 - 359*x343 - x616*x345 - 359*x345 - x616*x347 - 359
       *x347 - x616*x349 - 359*x349 - x616*x351 - 359*x351 - x616*x353 - 359*
       x353 - x616*x355 - 359*x355 - x616*x357 - 359*x357 - x616*x359 - 359*
       x359 =G= 0;

e210.. (-x617*x360) - 193*x360 + 193*x617 - x617*x362 - 193*x362 - x617*x364 - 
       193*x364 - x617*x366 - 193*x366 - x617*x368 - 193*x368 - x617*x370 - 193
       *x370 - x617*x372 - 193*x372 - x617*x374 - 193*x374 - x617*x376 - 193*
       x376 - x617*x378 - 193*x378 - x617*x380 - 193*x380 - x617*x382 - 193*
       x382 =G= 0;

e211.. (-x618*x58) - 427*x58 + 427*x618 - x618*x72 - 427*x72 - x618*x86 - 427*
       x86 - x618*x100 - 427*x100 - x618*x114 - 427*x114 - x618*x128 - 427*x128
        - x618*x142 - 427*x142 - x618*x156 - 427*x156 - x618*x170 - 427*x170 - 
       x618*x184 - 427*x184 - x618*x198 - 427*x198 - x618*x212 - 427*x212 =G= 0
       ;

e212.. (-x619*x290) - 347*x290 + 347*x619 - x619*x294 - 347*x294 - x619*x298 - 
       347*x298 - x619*x302 - 347*x302 - x619*x306 - 347*x306 - x619*x310 - 347
       *x310 - x619*x314 - 347*x314 - x619*x318 - 347*x318 - x619*x322 - 347*
       x322 - x619*x326 - 347*x326 - x619*x330 - 347*x330 - x619*x334 - 347*
       x334 =G= 0;

e213.. (-x620*x384) - 218*x384 + 218*x620 - x620*x386 - 218*x386 - x620*x388 - 
       218*x388 - x620*x390 - 218*x390 - x620*x392 - 218*x392 - x620*x394 - 218
       *x394 - x620*x396 - 218*x396 - x620*x398 - 218*x398 - x620*x400 - 218*
       x400 - x620*x402 - 218*x402 - x620*x404 - 218*x404 - x620*x406 - 218*
       x406 =G= 0;

e214.. (-x621*x59) - 295*x59 + 295*x621 - x621*x73 - 295*x73 - x621*x87 - 295*
       x87 - x621*x101 - 295*x101 - x621*x115 - 295*x115 - x621*x129 - 295*x129
        - x621*x143 - 295*x143 - x621*x157 - 295*x157 - x621*x171 - 295*x171 - 
       x621*x185 - 295*x185 - x621*x199 - 295*x199 - x621*x213 - 295*x213 =G= 0
       ;

e215.. (-x622*x219) - 341*x219 + 341*x622 - x622*x225 - 341*x225 - x622*x231 - 
       341*x231 - x622*x237 - 341*x237 - x622*x243 - 341*x243 - x622*x249 - 341
       *x249 - x622*x255 - 341*x255 - x622*x261 - 341*x261 - x622*x267 - 341*
       x267 - x622*x273 - 341*x273 - x622*x279 - 341*x279 - x622*x285 - 341*
       x285 =G= 0;

e216.. (-x623*x385) - 218*x385 + 218*x623 - x623*x387 - 218*x387 - x623*x389 - 
       218*x389 - x623*x391 - 218*x391 - x623*x393 - 218*x393 - x623*x395 - 218
       *x395 - x623*x397 - 218*x397 - x623*x399 - 218*x399 - x623*x401 - 218*
       x401 - x623*x403 - 218*x403 - x623*x405 - 218*x405 - x623*x407 - 218*
       x407 =G= 0;

e217.. (-x624*x408) - 134*x408 + 134*x624 - x624*x410 - 134*x410 - x624*x412 - 
       134*x412 - x624*x414 - 134*x414 - x624*x416 - 134*x416 - x624*x418 - 134
       *x418 - x624*x420 - 134*x420 - x624*x422 - 134*x422 - x624*x424 - 134*
       x424 - x624*x426 - 134*x426 - x624*x428 - 134*x428 - x624*x430 - 134*
       x430 =G= 0;

e218.. (-x625*x220) - 276*x220 + 276*x625 - x625*x226 - 276*x226 - x625*x232 - 
       276*x232 - x625*x238 - 276*x238 - x625*x244 - 276*x244 - x625*x250 - 276
       *x250 - x625*x256 - 276*x256 - x625*x262 - 276*x262 - x625*x268 - 276*
       x268 - x625*x274 - 276*x274 - x625*x280 - 276*x280 - x625*x286 - 276*
       x286 =G= 0;

e219.. (-x626*x409) - 134*x409 + 134*x626 - x626*x411 - 134*x411 - x626*x413 - 
       134*x413 - x626*x415 - 134*x415 - x626*x417 - 134*x417 - x626*x419 - 134
       *x419 - x626*x421 - 134*x421 - x626*x423 - 134*x423 - x626*x425 - 134*
       x425 - x626*x427 - 134*x427 - x626*x429 - 134*x429 - x626*x431 - 134*
       x431 =G= 0;

e220.. (-x627*x432) - 200*x432 + 200*x627 - x627*x438 - 200*x438 - x627*x444 - 
       200*x444 - x627*x450 - 200*x450 - x627*x456 - 200*x456 - x627*x462 - 200
       *x462 - x627*x468 - 200*x468 - x627*x474 - 200*x474 - x627*x480 - 200*
       x480 - x627*x486 - 200*x486 - x627*x492 - 200*x492 - x627*x498 - 200*
       x498 =G= 0;

e221.. (-x628*x433) - 222*x433 + 222*x628 - x628*x439 - 222*x439 - x628*x445 - 
       222*x445 - x628*x451 - 222*x451 - x628*x457 - 222*x457 - x628*x463 - 222
       *x463 - x628*x469 - 222*x469 - x628*x475 - 222*x475 - x628*x481 - 222*
       x481 - x628*x487 - 222*x487 - x628*x493 - 222*x493 - x628*x499 - 222*
       x499 =G= 0;

e222.. (-x629*x434) - 196*x434 + 196*x629 - x629*x440 - 196*x440 - x629*x446 - 
       196*x446 - x629*x452 - 196*x452 - x629*x458 - 196*x458 - x629*x464 - 196
       *x464 - x629*x470 - 196*x470 - x629*x476 - 196*x476 - x629*x482 - 196*
       x482 - x629*x488 - 196*x488 - x629*x494 - 196*x494 - x629*x500 - 196*
       x500 =G= 0;

e223.. (-x630*x435) - 200*x435 + 200*x630 - x630*x441 - 200*x441 - x630*x447 - 
       200*x447 - x630*x453 - 200*x453 - x630*x459 - 200*x459 - x630*x465 - 200
       *x465 - x630*x471 - 200*x471 - x630*x477 - 200*x477 - x630*x483 - 200*
       x483 - x630*x489 - 200*x489 - x630*x495 - 200*x495 - x630*x501 - 200*
       x501 =G= 0;

e224.. (-x631*x504) - 129*x504 + 129*x631 - x631*x506 - 129*x506 - x631*x508 - 
       129*x508 - x631*x510 - 129*x510 - x631*x512 - 129*x512 - x631*x514 - 129
       *x514 - x631*x516 - 129*x516 - x631*x518 - 129*x518 - x631*x520 - 129*
       x520 - x631*x522 - 129*x522 - x631*x524 - 129*x524 - x631*x526 - 129*
       x526 =G= 0;

e225.. (-x632*x60) - 280*x60 + 280*x632 - x632*x74 - 280*x74 - x632*x88 - 280*
       x88 - x632*x102 - 280*x102 - x632*x116 - 280*x116 - x632*x130 - 280*x130
        - x632*x144 - 280*x144 - x632*x158 - 280*x158 - x632*x172 - 280*x172 - 
       x632*x186 - 280*x186 - x632*x200 - 280*x200 - x632*x214 - 280*x214 =G= 0
       ;

e226.. (-x633*x505) - 129*x505 + 129*x633 - x633*x507 - 129*x507 - x633*x509 - 
       129*x509 - x633*x511 - 129*x511 - x633*x513 - 129*x513 - x633*x515 - 129
       *x515 - x633*x517 - 129*x517 - x633*x519 - 129*x519 - x633*x521 - 129*
       x521 - x633*x523 - 129*x523 - x633*x525 - 129*x525 - x633*x527 - 129*
       x527 =G= 0;

e227.. (-x634*x528) - 382*x528 + 382*x634 - x634*x532 - 382*x532 - x634*x536 - 
       382*x536 - x634*x540 - 382*x540 - x634*x544 - 382*x544 - x634*x548 - 382
       *x548 - x634*x552 - 382*x552 - x634*x556 - 382*x556 - x634*x560 - 382*
       x560 - x634*x564 - 382*x564 - x634*x568 - 382*x568 - x634*x572 - 382*
       x572 =G= 0;

e228.. (-x635*x529) - 424*x529 + 424*x635 - x635*x533 - 424*x533 - x635*x537 - 
       424*x537 - x635*x541 - 424*x541 - x635*x545 - 424*x545 - x635*x549 - 424
       *x549 - x635*x553 - 424*x553 - x635*x557 - 424*x557 - x635*x561 - 424*
       x561 - x635*x565 - 424*x565 - x635*x569 - 424*x569 - x635*x573 - 424*
       x573 =G= 0;

e229.. (-x636*x221) - 119*x221 + 119*x636 - x636*x227 - 119*x227 - x636*x233 - 
       119*x233 - x636*x239 - 119*x239 - x636*x245 - 119*x245 - x636*x251 - 119
       *x251 - x636*x257 - 119*x257 - x636*x263 - 119*x263 - x636*x269 - 119*
       x269 - x636*x275 - 119*x275 - x636*x281 - 119*x281 - x636*x287 - 119*
       x287 =G= 0;

e230.. (-x637*x361) - 193*x361 + 193*x637 - x637*x363 - 193*x363 - x637*x365 - 
       193*x365 - x637*x367 - 193*x367 - x637*x369 - 193*x369 - x637*x371 - 193
       *x371 - x637*x373 - 193*x373 - x637*x375 - 193*x375 - x637*x377 - 193*
       x377 - x637*x379 - 193*x379 - x637*x381 - 193*x381 - x637*x383 - 193*
       x383 =G= 0;

e231.. (-x638*x436) - 222*x436 + 222*x638 - x638*x442 - 222*x442 - x638*x448 - 
       222*x448 - x638*x454 - 222*x454 - x638*x460 - 222*x460 - x638*x466 - 222
       *x466 - x638*x472 - 222*x472 - x638*x478 - 222*x478 - x638*x484 - 222*
       x484 - x638*x490 - 222*x490 - x638*x496 - 222*x496 - x638*x502 - 222*
       x502 =G= 0;

e232.. (-x639*x530) - 382*x530 + 382*x639 - x639*x534 - 382*x534 - x639*x538 - 
       382*x538 - x639*x542 - 382*x542 - x639*x546 - 382*x546 - x639*x550 - 382
       *x550 - x639*x554 - 382*x554 - x639*x558 - 382*x558 - x639*x562 - 382*
       x562 - x639*x566 - 382*x566 - x639*x570 - 382*x570 - x639*x574 - 382*
       x574 =G= 0;

e233.. (-x640*x576) - 275*x576 + 275*x640 - x640*x578 - 275*x578 - x640*x580 - 
       275*x580 - x640*x582 - 275*x582 - x640*x584 - 275*x584 - x640*x586 - 275
       *x586 - x640*x588 - 275*x588 - x640*x590 - 275*x590 - x640*x592 - 275*
       x592 - x640*x594 - 275*x594 - x640*x596 - 275*x596 - x640*x598 - 275*
       x598 =G= 0;

e234.. (-x641*x61) - 337*x61 + 337*x641 - x641*x75 - 337*x75 - x641*x89 - 337*
       x89 - x641*x103 - 337*x103 - x641*x117 - 337*x117 - x641*x131 - 337*x131
        - x641*x145 - 337*x145 - x641*x159 - 337*x159 - x641*x173 - 337*x173 - 
       x641*x187 - 337*x187 - x641*x201 - 337*x201 - x641*x215 - 337*x215 =G= 0
       ;

e235.. (-x642*x291) - 398*x291 + 398*x642 - x642*x295 - 398*x295 - x642*x299 - 
       398*x299 - x642*x303 - 398*x303 - x642*x307 - 398*x307 - x642*x311 - 398
       *x311 - x642*x315 - 398*x315 - x642*x319 - 398*x319 - x642*x323 - 398*
       x323 - x642*x327 - 398*x327 - x642*x331 - 398*x331 - x642*x335 - 398*
       x335 =G= 0;

e236.. (-x643*x437) - 196*x437 + 196*x643 - x643*x443 - 196*x443 - x643*x449 - 
       196*x449 - x643*x455 - 196*x455 - x643*x461 - 196*x461 - x643*x467 - 196
       *x467 - x643*x473 - 196*x473 - x643*x479 - 196*x479 - x643*x485 - 196*
       x485 - x643*x491 - 196*x491 - x643*x497 - 196*x497 - x643*x503 - 196*
       x503 =G= 0;

e237.. (-x644*x531) - 424*x531 + 424*x644 - x644*x535 - 424*x535 - x644*x539 - 
       424*x539 - x644*x543 - 424*x543 - x644*x547 - 424*x547 - x644*x551 - 424
       *x551 - x644*x555 - 424*x555 - x644*x559 - 424*x559 - x644*x563 - 424*
       x563 - x644*x567 - 424*x567 - x644*x571 - 424*x571 - x644*x575 - 424*
       x575 =G= 0;

e238.. (-x645*x577) - 275*x577 + 275*x645 - x645*x579 - 275*x579 - x645*x581 - 
       275*x581 - x645*x583 - 275*x583 - x645*x585 - 275*x585 - x645*x587 - 275
       *x587 - x645*x589 - 275*x589 - x645*x591 - 275*x591 - x645*x593 - 275*
       x593 - x645*x595 - 275*x595 - x645*x597 - 275*x597 - x645*x599 - 275*
       x599 =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;





Website © 2017-2019 by Zuse Institute Berlin. All rights reserved. Imprint.