QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3369

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 583.52151610 (gdx, sol)
Solution point infeasibility solinfeasibility 5.8208e-11
Donor donor Ruth Misener
#Variables nvars 485
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 325
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 325
#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 96
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 148
#Linear Constraints nlincons 32
#Quadratic Constraints nquadcons 116
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 116
#Nonzeros in Jacobian njacobiannz 3102
#Nonlinear Nonzeros in Jacobian njacobiannlnz 1924
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 1872
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 13
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 25
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 25
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 25.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3369.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        149      137       12        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        486      486        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3199     1275     1924        0
*
*  Solve m using QCP minimizing objvar;


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

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

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;


e1..  - objvar + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
      + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25
      + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37
      + x38 + x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49
      + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60 + x61
      + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73
      + x74 + x75 + x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85
      + x86 + x87 + x88 + x89 + x90 + x91 + x92 + x93 + x94 + x95 + x96 + x97
      =E= 0;

e2..  - x2 - x18 - x34 - x50 - x66 - x82 + x202 - x203 - x204 - x205 - x206
      - x207 - x208 - x209 - x210 - x211 - x212 - x213 - x214 - x215 - x216
      - x217 - x218 =E= 0;

e3..  - x3 - x19 - x35 - x51 - x67 - x83 + x219 - x220 - x221 - x222 - x223
      - x224 - x225 - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233
      - x234 - x235 =E= 0;

e4..  - x4 - x20 - x36 - x52 - x68 - x84 + x236 - x237 - x238 - x239 - x240
      - x241 - x242 - x243 - x244 - x245 - x246 - x247 - x248 - x249 - x250
      - x251 - x252 =E= 0;

e5..  - x5 - x21 - x37 - x53 - x69 - x85 + x253 - x254 - x255 - x256 - x257
      - x258 - x259 - x260 - x261 - x262 - x263 - x264 - x265 - x266 - x267
      - x268 - x269 =E= 0;

e6..  - x6 - x22 - x38 - x54 - x70 - x86 + x270 - x271 - x272 - x273 - x274
      - x275 - x276 - x277 - x278 - x279 - x280 - x281 - x282 - x283 - x284
      - x285 - x286 =E= 0;

e7..  - x7 - x23 - x39 - x55 - x71 - x87 + x287 - x288 - x289 - x290 - x291
      - x292 - x293 - x294 - x295 - x296 - x297 - x298 - x299 - x300 - x301
      - x302 - x303 =E= 0;

e8..  - x8 - x24 - x40 - x56 - x72 - x88 + x304 - x305 - x306 - x307 - x308
      - x309 - x310 - x311 - x312 - x313 - x314 - x315 - x316 - x317 - x318
      - x319 - x320 =E= 0;

e9..  - x9 - x25 - x41 - x57 - x73 - x89 + x321 - x322 - x323 - x324 - x325
      - x326 - x327 - x328 - x329 - x330 - x331 - x332 - x333 - x334 - x335
      - x336 - x337 =E= 0;

e10..  - x10 - x26 - x42 - x58 - x74 - x90 + x338 - x339 - x340 - x341 - x342
       - x343 - x344 - x345 - x346 - x347 - x348 - x349 - x350 - x351 - x352
       - x353 - x354 =E= 0;

e11..  - x11 - x27 - x43 - x59 - x75 - x91 + x355 - x356 - x357 - x358 - x359
       - x360 - x361 - x362 - x363 - x364 - x365 - x366 - x367 - x368 - x369
       - x370 - x371 =E= 0;

e12..  - x12 - x28 - x44 - x60 - x76 - x92 + x372 - x373 - x374 - x375 - x376
       - x377 - x378 - x379 - x380 - x381 - x382 - x383 - x384 - x385 - x386
       - x387 - x388 =E= 0;

e13..  - x13 - x29 - x45 - x61 - x77 - x93 + x389 - x390 - x391 - x392 - x393
       - x394 - x395 - x396 - x397 - x398 - x399 - x400 - x401 - x402 - x403
       - x404 - x405 =E= 0;

e14..  - x14 - x30 - x46 - x62 - x78 - x94 + x406 - x407 - x408 - x409 - x410
       - x411 - x412 - x413 - x414 - x415 - x416 - x417 - x418 - x419 - x420
       - x421 - x422 =E= 0;

e15..  - x15 - x31 - x47 - x63 - x79 - x95 - x423 - x424 - x425 - x426 - x427
       - x428 - x429 - x430 - x431 - x432 - x433 - x434 - x435 - x436 - x437
       - x438 =E= -45;

e16..  - x16 - x32 - x48 - x64 - x80 - x96 - x439 - x440 - x441 - x442 - x443
       - x444 - x445 - x446 - x447 - x448 - x449 - x450 - x451 - x452 - x453
       - x454 =E= -100;

e17..  - x17 - x33 - x49 - x65 - x81 - x97 - x455 - x456 - x457 - x458 - x459
       - x460 - x461 - x462 - x463 - x464 - x465 - x466 - x467 - x468 - x469
       - x470 =E= -75;

e18..    x202 - x203 - x220 - x237 - x254 - x271 - x288 - x305 - x322 - x339
       - x356 - x373 - x390 - x407 - x423 - x439 - x455 - x471 =E= 0;

e19..  - x204 + x219 - x221 - x238 - x255 - x272 - x289 - x306 - x323 - x340
       - x357 - x374 - x391 - x408 - x424 - x440 - x456 - x472 =E= 0;

e20..  - x205 - x222 + x236 - x239 - x256 - x273 - x290 - x307 - x324 - x341
       - x358 - x375 - x392 - x409 - x425 - x441 - x457 - x473 =E= 0;

e21..  - x206 - x223 - x240 + x253 - x257 - x274 - x291 - x308 - x325 - x342
       - x359 - x376 - x393 - x410 - x426 - x442 - x458 - x474 =E= 0;

e22..  - x207 - x224 - x241 - x258 + x270 - x275 - x292 - x309 - x326 - x343
       - x360 - x377 - x394 - x411 - x427 - x443 - x459 - x475 =E= 0;

e23..  - x208 - x225 - x242 - x259 - x276 + x287 - x293 - x310 - x327 - x344
       - x361 - x378 - x395 - x412 - x428 - x444 - x460 - x476 =E= 0;

e24..  - x209 - x226 - x243 - x260 - x277 - x294 + x304 - x311 - x328 - x345
       - x362 - x379 - x396 - x413 - x429 - x445 - x461 - x477 =E= 0;

e25..  - x210 - x227 - x244 - x261 - x278 - x295 - x312 + x321 - x329 - x346
       - x363 - x380 - x397 - x414 - x430 - x446 - x462 - x478 =E= 0;

e26..  - x211 - x228 - x245 - x262 - x279 - x296 - x313 - x330 + x338 - x347
       - x364 - x381 - x398 - x415 - x431 - x447 - x463 - x479 =E= 0;

e27..  - x212 - x229 - x246 - x263 - x280 - x297 - x314 - x331 - x348 + x355
       - x365 - x382 - x399 - x416 - x432 - x448 - x464 - x480 =E= 0;

e28..  - x213 - x230 - x247 - x264 - x281 - x298 - x315 - x332 - x349 - x366
       + x372 - x383 - x400 - x417 - x433 - x449 - x465 - x481 =E= 0;

e29..  - x214 - x231 - x248 - x265 - x282 - x299 - x316 - x333 - x350 - x367
       - x384 + x389 - x401 - x418 - x434 - x450 - x466 - x482 =E= 0;

e30..  - x215 - x232 - x249 - x266 - x283 - x300 - x317 - x334 - x351 - x368
       - x385 - x402 + x406 - x419 - x435 - x451 - x467 - x483 =E= 0;

e31..  - x216 - x233 - x250 - x267 - x284 - x301 - x318 - x335 - x352 - x369
       - x386 - x403 - x420 - x436 - x452 - x468 - x484 =E= -70;

e32..  - x217 - x234 - x251 - x268 - x285 - x302 - x319 - x336 - x353 - x370
       - x387 - x404 - x421 - x437 - x453 - x469 - x485 =E= -120;

e33..  - x218 - x235 - x252 - x269 - x286 - x303 - x320 - x337 - x354 - x371
       - x388 - x405 - x422 - x438 - x454 - x470 - x486 =E= -80;

e34.. x202*x98 - x203*x150 - x204*x154 - x205*x158 - x206*x162 - x207*x166 - 
      x208*x170 - x209*x174 - x210*x178 - x211*x182 - x212*x186 - x213*x190 - 
      x214*x194 - x215*x198 - 2*x2 - 7*x18 - 7*x34 - 6*x50 - 4*x66 - 8*x82
       - 2808*x216 - 1753*x217 - 1379*x218 =E= 0;

e35.. x202*x99 - x203*x151 - x204*x155 - x205*x159 - x206*x163 - x207*x167 - 
      x208*x171 - x209*x175 - x210*x179 - x211*x183 - x212*x187 - x213*x191 - 
      x214*x195 - x215*x199 - 9*x2 - 6*x18 - 9*x34 - 9*x50 - 5*x82 - 1630*x216
       - 1716*x217 - 2352*x218 =E= 0;

e36.. x202*x100 - x203*x152 - x204*x156 - x205*x160 - x206*x164 - x207*x168 - 
      x208*x172 - x209*x176 - x210*x180 - x211*x184 - x212*x188 - x213*x192 - 
      x214*x196 - x215*x200 - 8*x2 - 4*x18 - 7*x34 - 8*x50 - 6*x82 - 2281*x216
       - 890*x217 - 2532*x218 =E= 0;

e37.. x202*x101 - x203*x153 - x204*x157 - x205*x161 - x206*x165 - x207*x169 - 
      x208*x173 - x209*x177 - x210*x181 - x211*x185 - x212*x189 - x213*x193 - 
      x214*x197 - x215*x201 - x2 - 6*x18 - x34 - 6*x66 - 9*x82 - 1996*x216
       - 1853*x217 - 626*x218 =E= 0;

e38.. x219*x102 - x220*x150 - x221*x154 - x222*x158 - x223*x162 - x224*x166 - 
      x225*x170 - x226*x174 - x227*x178 - x228*x182 - x229*x186 - x230*x190 - 
      x231*x194 - x232*x198 - 2*x3 - 7*x19 - 7*x35 - 6*x51 - 4*x67 - 8*x83
       - 2808*x233 - 1753*x234 - 1379*x235 =E= 0;

e39.. x219*x103 - x220*x151 - x221*x155 - x222*x159 - x223*x163 - x224*x167 - 
      x225*x171 - x226*x175 - x227*x179 - x228*x183 - x229*x187 - x230*x191 - 
      x231*x195 - x232*x199 - 9*x3 - 6*x19 - 9*x35 - 9*x51 - 5*x83 - 1630*x233
       - 1716*x234 - 2352*x235 =E= 0;

e40.. x219*x104 - x220*x152 - x221*x156 - x222*x160 - x223*x164 - x224*x168 - 
      x225*x172 - x226*x176 - x227*x180 - x228*x184 - x229*x188 - x230*x192 - 
      x231*x196 - x232*x200 - 8*x3 - 4*x19 - 7*x35 - 8*x51 - 6*x83 - 2281*x233
       - 890*x234 - 2532*x235 =E= 0;

e41.. x219*x105 - x220*x153 - x221*x157 - x222*x161 - x223*x165 - x224*x169 - 
      x225*x173 - x226*x177 - x227*x181 - x228*x185 - x229*x189 - x230*x193 - 
      x231*x197 - x232*x201 - x3 - 6*x19 - x35 - 6*x67 - 9*x83 - 1996*x233
       - 1853*x234 - 626*x235 =E= 0;

e42.. x236*x106 - x237*x150 - x238*x154 - x239*x158 - x240*x162 - x241*x166 - 
      x242*x170 - x243*x174 - x244*x178 - x245*x182 - x246*x186 - x247*x190 - 
      x248*x194 - x249*x198 - 2*x4 - 7*x20 - 7*x36 - 6*x52 - 4*x68 - 8*x84
       - 2808*x250 - 1753*x251 - 1379*x252 =E= 0;

e43.. x236*x107 - x237*x151 - x238*x155 - x239*x159 - x240*x163 - x241*x167 - 
      x242*x171 - x243*x175 - x244*x179 - x245*x183 - x246*x187 - x247*x191 - 
      x248*x195 - x249*x199 - 9*x4 - 6*x20 - 9*x36 - 9*x52 - 5*x84 - 1630*x250
       - 1716*x251 - 2352*x252 =E= 0;

e44.. x236*x108 - x237*x152 - x238*x156 - x239*x160 - x240*x164 - x241*x168 - 
      x242*x172 - x243*x176 - x244*x180 - x245*x184 - x246*x188 - x247*x192 - 
      x248*x196 - x249*x200 - 8*x4 - 4*x20 - 7*x36 - 8*x52 - 6*x84 - 2281*x250
       - 890*x251 - 2532*x252 =E= 0;

e45.. x236*x109 - x237*x153 - x238*x157 - x239*x161 - x240*x165 - x241*x169 - 
      x242*x173 - x243*x177 - x244*x181 - x245*x185 - x246*x189 - x247*x193 - 
      x248*x197 - x249*x201 - x4 - 6*x20 - x36 - 6*x68 - 9*x84 - 1996*x250
       - 1853*x251 - 626*x252 =E= 0;

e46.. x253*x110 - x254*x150 - x255*x154 - x256*x158 - x257*x162 - x258*x166 - 
      x259*x170 - x260*x174 - x261*x178 - x262*x182 - x263*x186 - x264*x190 - 
      x265*x194 - x266*x198 - 2*x5 - 7*x21 - 7*x37 - 6*x53 - 4*x69 - 8*x85
       - 2808*x267 - 1753*x268 - 1379*x269 =E= 0;

e47.. x253*x111 - x254*x151 - x255*x155 - x256*x159 - x257*x163 - x258*x167 - 
      x259*x171 - x260*x175 - x261*x179 - x262*x183 - x263*x187 - x264*x191 - 
      x265*x195 - x266*x199 - 9*x5 - 6*x21 - 9*x37 - 9*x53 - 5*x85 - 1630*x267
       - 1716*x268 - 2352*x269 =E= 0;

e48.. x253*x112 - x254*x152 - x255*x156 - x256*x160 - x257*x164 - x258*x168 - 
      x259*x172 - x260*x176 - x261*x180 - x262*x184 - x263*x188 - x264*x192 - 
      x265*x196 - x266*x200 - 8*x5 - 4*x21 - 7*x37 - 8*x53 - 6*x85 - 2281*x267
       - 890*x268 - 2532*x269 =E= 0;

e49.. x253*x113 - x254*x153 - x255*x157 - x256*x161 - x257*x165 - x258*x169 - 
      x259*x173 - x260*x177 - x261*x181 - x262*x185 - x263*x189 - x264*x193 - 
      x265*x197 - x266*x201 - x5 - 6*x21 - x37 - 6*x69 - 9*x85 - 1996*x267
       - 1853*x268 - 626*x269 =E= 0;

e50.. x270*x114 - x271*x150 - x272*x154 - x273*x158 - x274*x162 - x275*x166 - 
      x276*x170 - x277*x174 - x278*x178 - x279*x182 - x280*x186 - x281*x190 - 
      x282*x194 - x283*x198 - 2*x6 - 7*x22 - 7*x38 - 6*x54 - 4*x70 - 8*x86
       - 2808*x284 - 1753*x285 - 1379*x286 =E= 0;

e51.. x270*x115 - x271*x151 - x272*x155 - x273*x159 - x274*x163 - x275*x167 - 
      x276*x171 - x277*x175 - x278*x179 - x279*x183 - x280*x187 - x281*x191 - 
      x282*x195 - x283*x199 - 9*x6 - 6*x22 - 9*x38 - 9*x54 - 5*x86 - 1630*x284
       - 1716*x285 - 2352*x286 =E= 0;

e52.. x270*x116 - x271*x152 - x272*x156 - x273*x160 - x274*x164 - x275*x168 - 
      x276*x172 - x277*x176 - x278*x180 - x279*x184 - x280*x188 - x281*x192 - 
      x282*x196 - x283*x200 - 8*x6 - 4*x22 - 7*x38 - 8*x54 - 6*x86 - 2281*x284
       - 890*x285 - 2532*x286 =E= 0;

e53.. x270*x117 - x271*x153 - x272*x157 - x273*x161 - x274*x165 - x275*x169 - 
      x276*x173 - x277*x177 - x278*x181 - x279*x185 - x280*x189 - x281*x193 - 
      x282*x197 - x283*x201 - x6 - 6*x22 - x38 - 6*x70 - 9*x86 - 1996*x284
       - 1853*x285 - 626*x286 =E= 0;

e54.. x287*x118 - x288*x150 - x289*x154 - x290*x158 - x291*x162 - x292*x166 - 
      x293*x170 - x294*x174 - x295*x178 - x296*x182 - x297*x186 - x298*x190 - 
      x299*x194 - x300*x198 - 2*x7 - 7*x23 - 7*x39 - 6*x55 - 4*x71 - 8*x87
       - 2808*x301 - 1753*x302 - 1379*x303 =E= 0;

e55.. x287*x119 - x288*x151 - x289*x155 - x290*x159 - x291*x163 - x292*x167 - 
      x293*x171 - x294*x175 - x295*x179 - x296*x183 - x297*x187 - x298*x191 - 
      x299*x195 - x300*x199 - 9*x7 - 6*x23 - 9*x39 - 9*x55 - 5*x87 - 1630*x301
       - 1716*x302 - 2352*x303 =E= 0;

e56.. x287*x120 - x288*x152 - x289*x156 - x290*x160 - x291*x164 - x292*x168 - 
      x293*x172 - x294*x176 - x295*x180 - x296*x184 - x297*x188 - x298*x192 - 
      x299*x196 - x300*x200 - 8*x7 - 4*x23 - 7*x39 - 8*x55 - 6*x87 - 2281*x301
       - 890*x302 - 2532*x303 =E= 0;

e57.. x287*x121 - x288*x153 - x289*x157 - x290*x161 - x291*x165 - x292*x169 - 
      x293*x173 - x294*x177 - x295*x181 - x296*x185 - x297*x189 - x298*x193 - 
      x299*x197 - x300*x201 - x7 - 6*x23 - x39 - 6*x71 - 9*x87 - 1996*x301
       - 1853*x302 - 626*x303 =E= 0;

e58.. x304*x122 - x305*x150 - x306*x154 - x307*x158 - x308*x162 - x309*x166 - 
      x310*x170 - x311*x174 - x312*x178 - x313*x182 - x314*x186 - x315*x190 - 
      x316*x194 - x317*x198 - 2*x8 - 7*x24 - 7*x40 - 6*x56 - 4*x72 - 8*x88
       - 2808*x318 - 1753*x319 - 1379*x320 =E= 0;

e59.. x304*x123 - x305*x151 - x306*x155 - x307*x159 - x308*x163 - x309*x167 - 
      x310*x171 - x311*x175 - x312*x179 - x313*x183 - x314*x187 - x315*x191 - 
      x316*x195 - x317*x199 - 9*x8 - 6*x24 - 9*x40 - 9*x56 - 5*x88 - 1630*x318
       - 1716*x319 - 2352*x320 =E= 0;

e60.. x304*x124 - x305*x152 - x306*x156 - x307*x160 - x308*x164 - x309*x168 - 
      x310*x172 - x311*x176 - x312*x180 - x313*x184 - x314*x188 - x315*x192 - 
      x316*x196 - x317*x200 - 8*x8 - 4*x24 - 7*x40 - 8*x56 - 6*x88 - 2281*x318
       - 890*x319 - 2532*x320 =E= 0;

e61.. x304*x125 - x305*x153 - x306*x157 - x307*x161 - x308*x165 - x309*x169 - 
      x310*x173 - x311*x177 - x312*x181 - x313*x185 - x314*x189 - x315*x193 - 
      x316*x197 - x317*x201 - x8 - 6*x24 - x40 - 6*x72 - 9*x88 - 1996*x318
       - 1853*x319 - 626*x320 =E= 0;

e62.. x321*x126 - x322*x150 - x323*x154 - x324*x158 - x325*x162 - x326*x166 - 
      x327*x170 - x328*x174 - x329*x178 - x330*x182 - x331*x186 - x332*x190 - 
      x333*x194 - x334*x198 - 2*x9 - 7*x25 - 7*x41 - 6*x57 - 4*x73 - 8*x89
       - 2808*x335 - 1753*x336 - 1379*x337 =E= 0;

e63.. x321*x127 - x322*x151 - x323*x155 - x324*x159 - x325*x163 - x326*x167 - 
      x327*x171 - x328*x175 - x329*x179 - x330*x183 - x331*x187 - x332*x191 - 
      x333*x195 - x334*x199 - 9*x9 - 6*x25 - 9*x41 - 9*x57 - 5*x89 - 1630*x335
       - 1716*x336 - 2352*x337 =E= 0;

e64.. x321*x128 - x322*x152 - x323*x156 - x324*x160 - x325*x164 - x326*x168 - 
      x327*x172 - x328*x176 - x329*x180 - x330*x184 - x331*x188 - x332*x192 - 
      x333*x196 - x334*x200 - 8*x9 - 4*x25 - 7*x41 - 8*x57 - 6*x89 - 2281*x335
       - 890*x336 - 2532*x337 =E= 0;

e65.. x321*x129 - x322*x153 - x323*x157 - x324*x161 - x325*x165 - x326*x169 - 
      x327*x173 - x328*x177 - x329*x181 - x330*x185 - x331*x189 - x332*x193 - 
      x333*x197 - x334*x201 - x9 - 6*x25 - x41 - 6*x73 - 9*x89 - 1996*x335
       - 1853*x336 - 626*x337 =E= 0;

e66.. x338*x130 - x339*x150 - x340*x154 - x341*x158 - x342*x162 - x343*x166 - 
      x344*x170 - x345*x174 - x346*x178 - x347*x182 - x348*x186 - x349*x190 - 
      x350*x194 - x351*x198 - 2*x10 - 7*x26 - 7*x42 - 6*x58 - 4*x74 - 8*x90
       - 2808*x352 - 1753*x353 - 1379*x354 =E= 0;

e67.. x338*x131 - x339*x151 - x340*x155 - x341*x159 - x342*x163 - x343*x167 - 
      x344*x171 - x345*x175 - x346*x179 - x347*x183 - x348*x187 - x349*x191 - 
      x350*x195 - x351*x199 - 9*x10 - 6*x26 - 9*x42 - 9*x58 - 5*x90 - 1630*x352
       - 1716*x353 - 2352*x354 =E= 0;

e68.. x338*x132 - x339*x152 - x340*x156 - x341*x160 - x342*x164 - x343*x168 - 
      x344*x172 - x345*x176 - x346*x180 - x347*x184 - x348*x188 - x349*x192 - 
      x350*x196 - x351*x200 - 8*x10 - 4*x26 - 7*x42 - 8*x58 - 6*x90 - 2281*x352
       - 890*x353 - 2532*x354 =E= 0;

e69.. x338*x133 - x339*x153 - x340*x157 - x341*x161 - x342*x165 - x343*x169 - 
      x344*x173 - x345*x177 - x346*x181 - x347*x185 - x348*x189 - x349*x193 - 
      x350*x197 - x351*x201 - x10 - 6*x26 - x42 - 6*x74 - 9*x90 - 1996*x352
       - 1853*x353 - 626*x354 =E= 0;

e70.. x355*x134 - x356*x150 - x357*x154 - x358*x158 - x359*x162 - x360*x166 - 
      x361*x170 - x362*x174 - x363*x178 - x364*x182 - x365*x186 - x366*x190 - 
      x367*x194 - x368*x198 - 2*x11 - 7*x27 - 7*x43 - 6*x59 - 4*x75 - 8*x91
       - 2808*x369 - 1753*x370 - 1379*x371 =E= 0;

e71.. x355*x135 - x356*x151 - x357*x155 - x358*x159 - x359*x163 - x360*x167 - 
      x361*x171 - x362*x175 - x363*x179 - x364*x183 - x365*x187 - x366*x191 - 
      x367*x195 - x368*x199 - 9*x11 - 6*x27 - 9*x43 - 9*x59 - 5*x91 - 1630*x369
       - 1716*x370 - 2352*x371 =E= 0;

e72.. x355*x136 - x356*x152 - x357*x156 - x358*x160 - x359*x164 - x360*x168 - 
      x361*x172 - x362*x176 - x363*x180 - x364*x184 - x365*x188 - x366*x192 - 
      x367*x196 - x368*x200 - 8*x11 - 4*x27 - 7*x43 - 8*x59 - 6*x91 - 2281*x369
       - 890*x370 - 2532*x371 =E= 0;

e73.. x355*x137 - x356*x153 - x357*x157 - x358*x161 - x359*x165 - x360*x169 - 
      x361*x173 - x362*x177 - x363*x181 - x364*x185 - x365*x189 - x366*x193 - 
      x367*x197 - x368*x201 - x11 - 6*x27 - x43 - 6*x75 - 9*x91 - 1996*x369
       - 1853*x370 - 626*x371 =E= 0;

e74.. x372*x138 - x373*x150 - x374*x154 - x375*x158 - x376*x162 - x377*x166 - 
      x378*x170 - x379*x174 - x380*x178 - x381*x182 - x382*x186 - x383*x190 - 
      x384*x194 - x385*x198 - 2*x12 - 7*x28 - 7*x44 - 6*x60 - 4*x76 - 8*x92
       - 2808*x386 - 1753*x387 - 1379*x388 =E= 0;

e75.. x372*x139 - x373*x151 - x374*x155 - x375*x159 - x376*x163 - x377*x167 - 
      x378*x171 - x379*x175 - x380*x179 - x381*x183 - x382*x187 - x383*x191 - 
      x384*x195 - x385*x199 - 9*x12 - 6*x28 - 9*x44 - 9*x60 - 5*x92 - 1630*x386
       - 1716*x387 - 2352*x388 =E= 0;

e76.. x372*x140 - x373*x152 - x374*x156 - x375*x160 - x376*x164 - x377*x168 - 
      x378*x172 - x379*x176 - x380*x180 - x381*x184 - x382*x188 - x383*x192 - 
      x384*x196 - x385*x200 - 8*x12 - 4*x28 - 7*x44 - 8*x60 - 6*x92 - 2281*x386
       - 890*x387 - 2532*x388 =E= 0;

e77.. x372*x141 - x373*x153 - x374*x157 - x375*x161 - x376*x165 - x377*x169 - 
      x378*x173 - x379*x177 - x380*x181 - x381*x185 - x382*x189 - x383*x193 - 
      x384*x197 - x385*x201 - x12 - 6*x28 - x44 - 6*x76 - 9*x92 - 1996*x386
       - 1853*x387 - 626*x388 =E= 0;

e78.. x389*x142 - x390*x150 - x391*x154 - x392*x158 - x393*x162 - x394*x166 - 
      x395*x170 - x396*x174 - x397*x178 - x398*x182 - x399*x186 - x400*x190 - 
      x401*x194 - x402*x198 - 2*x13 - 7*x29 - 7*x45 - 6*x61 - 4*x77 - 8*x93
       - 2808*x403 - 1753*x404 - 1379*x405 =E= 0;

e79.. x389*x143 - x390*x151 - x391*x155 - x392*x159 - x393*x163 - x394*x167 - 
      x395*x171 - x396*x175 - x397*x179 - x398*x183 - x399*x187 - x400*x191 - 
      x401*x195 - x402*x199 - 9*x13 - 6*x29 - 9*x45 - 9*x61 - 5*x93 - 1630*x403
       - 1716*x404 - 2352*x405 =E= 0;

e80.. x389*x144 - x390*x152 - x391*x156 - x392*x160 - x393*x164 - x394*x168 - 
      x395*x172 - x396*x176 - x397*x180 - x398*x184 - x399*x188 - x400*x192 - 
      x401*x196 - x402*x200 - 8*x13 - 4*x29 - 7*x45 - 8*x61 - 6*x93 - 2281*x403
       - 890*x404 - 2532*x405 =E= 0;

e81.. x389*x145 - x390*x153 - x391*x157 - x392*x161 - x393*x165 - x394*x169 - 
      x395*x173 - x396*x177 - x397*x181 - x398*x185 - x399*x189 - x400*x193 - 
      x401*x197 - x402*x201 - x13 - 6*x29 - x45 - 6*x77 - 9*x93 - 1996*x403
       - 1853*x404 - 626*x405 =E= 0;

e82.. x406*x146 - x407*x150 - x408*x154 - x409*x158 - x410*x162 - x411*x166 - 
      x412*x170 - x413*x174 - x414*x178 - x415*x182 - x416*x186 - x417*x190 - 
      x418*x194 - x419*x198 - 2*x14 - 7*x30 - 7*x46 - 6*x62 - 4*x78 - 8*x94
       - 2808*x420 - 1753*x421 - 1379*x422 =E= 0;

e83.. x406*x147 - x407*x151 - x408*x155 - x409*x159 - x410*x163 - x411*x167 - 
      x412*x171 - x413*x175 - x414*x179 - x415*x183 - x416*x187 - x417*x191 - 
      x418*x195 - x419*x199 - 9*x14 - 6*x30 - 9*x46 - 9*x62 - 5*x94 - 1630*x420
       - 1716*x421 - 2352*x422 =E= 0;

e84.. x406*x148 - x407*x152 - x408*x156 - x409*x160 - x410*x164 - x411*x168 - 
      x412*x172 - x413*x176 - x414*x180 - x415*x184 - x416*x188 - x417*x192 - 
      x418*x196 - x419*x200 - 8*x14 - 4*x30 - 7*x46 - 8*x62 - 6*x94 - 2281*x420
       - 890*x421 - 2532*x422 =E= 0;

e85.. x406*x149 - x407*x153 - x408*x157 - x409*x161 - x410*x165 - x411*x169 - 
      x412*x173 - x413*x177 - x414*x181 - x415*x185 - x416*x189 - x417*x193 - 
      x418*x197 - x419*x201 - x14 - 6*x30 - x46 - 6*x78 - 9*x94 - 1996*x420
       - 1853*x421 - 626*x422 =E= 0;

e86.. (-x423*x150) - x424*x154 - x425*x158 - x426*x162 - x427*x166 - x428*x170
       - x429*x174 - x430*x178 - x431*x182 - x432*x186 - x433*x190 - x434*x194
       - x435*x198 - 2*x15 - 7*x31 - 7*x47 - 6*x63 - 4*x79 - 8*x95 - 2808*x436
       - 1753*x437 - 1379*x438 =G= -77310;

e87.. (-x423*x151) - x424*x155 - x425*x159 - x426*x163 - x427*x167 - x428*x171
       - x429*x175 - x430*x179 - x431*x183 - x432*x187 - x433*x191 - x434*x195
       - x435*x199 - 9*x15 - 6*x31 - 9*x47 - 9*x63 - 5*x95 - 1630*x436
       - 1716*x437 - 2352*x438 =G= -38610;

e88.. (-x423*x152) - x424*x156 - x425*x160 - x426*x164 - x427*x168 - x428*x172
       - x429*x176 - x430*x180 - x431*x184 - x432*x188 - x433*x192 - x434*x196
       - x435*x200 - 8*x15 - 4*x31 - 7*x47 - 8*x63 - 6*x95 - 2281*x436
       - 890*x437 - 2532*x438 =G= -14535;

e89.. (-x423*x153) - x424*x157 - x425*x161 - x426*x165 - x427*x169 - x428*x173
       - x429*x177 - x430*x181 - x431*x185 - x432*x189 - x433*x193 - x434*x197
       - x435*x201 - x15 - 6*x31 - x47 - 6*x79 - 9*x95 - 1996*x436 - 1853*x437
       - 626*x438 =G= -8595;

e90.. (-x439*x150) - x440*x154 - x441*x158 - x442*x162 - x443*x166 - x444*x170
       - x445*x174 - x446*x178 - x447*x182 - x448*x186 - x449*x190 - x450*x194
       - x451*x198 - 2*x16 - 7*x32 - 7*x48 - 6*x64 - 4*x80 - 8*x96 - 2808*x452
       - 1753*x453 - 1379*x454 =G= -166100;

e91.. (-x439*x151) - x440*x155 - x441*x159 - x442*x163 - x443*x167 - x444*x171
       - x445*x175 - x446*x179 - x447*x183 - x448*x187 - x449*x191 - x450*x195
       - x451*x199 - 9*x16 - 6*x32 - 9*x48 - 9*x64 - 5*x96 - 1630*x452
       - 1716*x453 - 2352*x454 =G= -136600;

e92.. (-x439*x152) - x440*x156 - x441*x160 - x442*x164 - x443*x168 - x444*x172
       - x445*x176 - x446*x180 - x447*x184 - x448*x188 - x449*x192 - x450*x196
       - x451*x200 - 8*x16 - 4*x32 - 7*x48 - 8*x64 - 6*x96 - 2281*x452
       - 890*x453 - 2532*x454 =G= -41300;

e93.. (-x439*x153) - x440*x157 - x441*x161 - x442*x165 - x443*x169 - x444*x173
       - x445*x177 - x446*x181 - x447*x185 - x448*x189 - x449*x193 - x450*x197
       - x451*x201 - x16 - 6*x32 - x48 - 6*x80 - 9*x96 - 1996*x452 - 1853*x453
       - 626*x454 =G= -154600;

e94.. (-x455*x150) - x456*x154 - x457*x158 - x458*x162 - x459*x166 - x460*x170
       - x461*x174 - x462*x178 - x463*x182 - x464*x186 - x465*x190 - x466*x194
       - x467*x198 - 2*x17 - 7*x33 - 7*x49 - 6*x65 - 4*x81 - 8*x97 - 2808*x468
       - 1753*x469 - 1379*x470 =G= -93225;

e95.. (-x455*x151) - x456*x155 - x457*x159 - x458*x163 - x459*x167 - x460*x171
       - x461*x175 - x462*x179 - x463*x183 - x464*x187 - x465*x191 - x466*x195
       - x467*x199 - 9*x17 - 6*x33 - 9*x49 - 9*x65 - 5*x97 - 1630*x468
       - 1716*x469 - 2352*x470 =G= -47925;

e96.. (-x455*x152) - x456*x156 - x457*x160 - x458*x164 - x459*x168 - x460*x172
       - x461*x176 - x462*x180 - x463*x184 - x464*x188 - x465*x192 - x466*x196
       - x467*x200 - 8*x17 - 4*x33 - 7*x49 - 8*x65 - 6*x97 - 2281*x468
       - 890*x469 - 2532*x470 =G= -155850;

e97.. (-x455*x153) - x456*x157 - x457*x161 - x458*x165 - x459*x169 - x460*x173
       - x461*x177 - x462*x181 - x463*x185 - x464*x189 - x465*x193 - x466*x197
       - x467*x201 - x17 - 6*x33 - x49 - 6*x81 - 9*x97 - 1996*x468 - 1853*x469
       - 626*x470 =G= -18675;

e98.. x202*x98 - x202*x150 =E= -3752;

e99.. x202*x99 - x202*x151 =E= -146060;

e100.. x202*x100 - x202*x152 =E= -151420;

e101.. x202*x101 - x202*x153 =E= -93800;

e102.. x219*x102 - x219*x154 =E= -10434;

e103.. x219*x103 - x219*x155 =E= -29748;

e104.. x219*x104 - x219*x156 =E= -42254;

e105.. x219*x105 - x219*x157 =E= -20202;

e106.. x236*x106 - x236*x158 =E= -48022;

e107.. x236*x107 - x236*x159 =E= -13806;

e108.. x236*x108 - x236*x160 =E= -14612;

e109.. x236*x109 - x236*x161 =E= -39182;

e110.. x253*x110 - x253*x162 =E= -123816;

e111.. x253*x111 - x253*x163 =E= -23056;

e112.. x253*x112 - x253*x164 =E= -209352;

e113.. x253*x113 - x253*x165 =E= -195536;

e114.. x270*x114 - x270*x166 =E= -107500;

e115.. x270*x115 - x270*x167 =E= -24600;

e116.. x270*x116 - x270*x168 =E= -79900;

e117.. x270*x117 - x270*x169 =E= -186000;

e118.. x287*x118 - x287*x170 =E= -5280;

e119.. x287*x119 - x287*x171 =E= -31240;

e120.. x287*x120 - x287*x172 =E= -67155;

e121.. x287*x121 - x287*x173 =E= -76175;

e122.. x304*x122 - x304*x174 =E= -57900;

e123.. x304*x123 - x304*x175 =E= -9850;

e124.. x304*x124 - x304*x176 =E= -35700;

e125.. x304*x125 - x304*x177 =E= -134550;

e126.. x321*x126 - x321*x178 =E= -2626;

e127.. x321*x127 - x321*x179 =E= -33748;

e128.. x321*x128 - x321*x180 =E= -23088;

e129.. x321*x129 - x321*x181 =E= -67496;

e130.. x338*x130 - x338*x182 =E= -223146;

e131.. x338*x131 - x338*x183 =E= -19110;

e132.. x338*x132 - x338*x184 =E= -97412;

e133.. x338*x133 - x338*x185 =E= -22932;

e134.. x355*x134 - x355*x186 =E= -48070;

e135.. x355*x135 - x355*x187 =E= -114425;

e136.. x355*x136 - x355*x188 =E= -72220;

e137.. x355*x137 - x355*x189 =E= -200790;

e138.. x372*x138 - x372*x190 =E= -81090;

e139.. x372*x139 - x372*x191 =E= -133365;

e140.. x372*x140 - x372*x192 =E= -25075;

e141.. x372*x141 - x372*x193 =E= -4335;

e142.. x389*x142 - x389*x194 =E= -75905;

e143.. x389*x143 - x389*x195 =E= -111435;

e144.. x389*x144 - x389*x196 =E= -109725;

e145.. x389*x145 - x389*x197 =E= -21660;

e146.. x406*x146 - x406*x198 =E= -33800;

e147.. x406*x147 - x406*x199 =E= -176500;

e148.. x406*x148 - x406*x200 =E= -153000;

e149.. x406*x149 - x406*x201 =E= -74400;

* set non-default bounds
x2.up = 100000;
x3.up = 100000;
x4.up = 100000;
x5.up = 100000;
x6.up = 100000;
x7.up = 100000;
x8.up = 100000;
x9.up = 100000;
x10.up = 100000;
x11.up = 100000;
x12.up = 100000;
x13.up = 100000;
x14.up = 100000;
x15.up = 100000;
x16.up = 100000;
x17.up = 100000;
x18.up = 100000;
x19.up = 100000;
x20.up = 100000;
x21.up = 100000;
x22.up = 100000;
x23.up = 100000;
x24.up = 100000;
x25.up = 100000;
x26.up = 100000;
x27.up = 100000;
x28.up = 100000;
x29.up = 100000;
x30.up = 100000;
x31.up = 100000;
x32.up = 100000;
x33.up = 100000;
x34.up = 100000;
x35.up = 100000;
x36.up = 100000;
x37.up = 100000;
x38.up = 100000;
x39.up = 100000;
x40.up = 100000;
x41.up = 100000;
x42.up = 100000;
x43.up = 100000;
x44.up = 100000;
x45.up = 100000;
x46.up = 100000;
x47.up = 100000;
x48.up = 100000;
x49.up = 100000;
x50.up = 100000;
x51.up = 100000;
x52.up = 100000;
x53.up = 100000;
x54.up = 100000;
x55.up = 100000;
x56.up = 100000;
x57.up = 100000;
x58.up = 100000;
x59.up = 100000;
x60.up = 100000;
x61.up = 100000;
x62.up = 100000;
x63.up = 100000;
x64.up = 100000;
x65.up = 100000;
x66.up = 100000;
x67.up = 100000;
x68.up = 100000;
x69.up = 100000;
x70.up = 100000;
x71.up = 100000;
x72.up = 100000;
x73.up = 100000;
x74.up = 100000;
x75.up = 100000;
x76.up = 100000;
x77.up = 100000;
x78.up = 100000;
x79.up = 100000;
x80.up = 100000;
x81.up = 100000;
x82.up = 100000;
x83.up = 100000;
x84.up = 100000;
x85.up = 100000;
x86.up = 100000;
x87.up = 100000;
x88.up = 100000;
x89.up = 100000;
x90.up = 100000;
x91.up = 100000;
x92.up = 100000;
x93.up = 100000;
x94.up = 100000;
x95.up = 100000;
x96.up = 100000;
x97.up = 100000;
x98.up = 2250;
x99.up = 575;
x100.up = 203;
x101.up = 1393;
x102.up = 298;
x103.up = 2353;
x104.up = 364;
x105.up = 2396;
x106.up = 883;
x107.up = 1292;
x108.up = 2398;
x109.up = 862;
x110.up = 1257;
x111.up = 2354;
x112.up = 327;
x113.up = 341;
x114.up = 1680;
x115.up = 2476;
x116.up = 2105;
x117.up = 1092;
x118.up = 1759;
x119.up = 301;
x120.up = 139;
x121.up = 1354;
x122.up = 58;
x123.up = 2025;
x124.up = 511;
x125.up = 124;
x126.up = 2084;
x127.up = 538;
x128.up = 537;
x129.up = 225;
x130.up = 427;
x131.up = 2087;
x132.up = 1759;
x133.up = 482;
x134.up = 2086;
x135.up = 1863;
x136.up = 2195;
x137.up = 396;
x138.up = 2012;
x139.up = 994;
x140.up = 1923;
x141.up = 2076;
x142.up = 647;
x143.up = 557;
x144.up = 1675;
x145.up = 2330;
x146.up = 1898;
x147.up = 527;
x148.up = 381;
x149.up = 1257;
x150.up = 2278;
x151.up = 1665;
x152.up = 1333;
x153.up = 2093;
x154.up = 439;
x155.up = 2755;
x156.up = 935;
x157.up = 2669;
x158.up = 2730;
x159.up = 1823;
x160.up = 2960;
x161.up = 2369;
x162.up = 2664;
x163.up = 2616;
x164.up = 2706;
x165.up = 2563;
x166.up = 2755;
x167.up = 2722;
x168.up = 2904;
x169.up = 2952;
x170.up = 1855;
x171.up = 869;
x172.up = 1360;
x173.up = 2739;
x174.up = 1216;
x175.up = 2222;
x176.up = 1225;
x177.up = 2815;
x178.up = 2185;
x179.up = 1836;
x180.up = 1425;
x181.up = 2821;
x182.up = 2704;
x183.up = 2282;
x184.up = 2753;
x185.up = 716;
x186.up = 2504;
x187.up = 2858;
x188.up = 2823;
x189.up = 2142;
x190.up = 2966;
x191.up = 2563;
x192.up = 2218;
x193.up = 2127;
x194.up = 1446;
x195.up = 1730;
x196.up = 2830;
x197.up = 2558;
x198.up = 2236;
x199.up = 2292;
x200.up = 1911;
x201.up = 2001;
x202.up = 134;
x203.up = 100000;
x204.up = 100000;
x205.up = 100000;
x206.up = 100000;
x207.up = 100000;
x208.up = 100000;
x209.up = 100000;
x210.up = 100000;
x211.up = 100000;
x212.up = 100000;
x213.up = 100000;
x214.up = 100000;
x215.up = 100000;
x216.up = 100000;
x217.up = 100000;
x218.up = 100000;
x219.up = 74;
x220.up = 100000;
x221.up = 100000;
x222.up = 100000;
x223.up = 100000;
x224.up = 100000;
x225.up = 100000;
x226.up = 100000;
x227.up = 100000;
x228.up = 100000;
x229.up = 100000;
x230.up = 100000;
x231.up = 100000;
x232.up = 100000;
x233.up = 100000;
x234.up = 100000;
x235.up = 100000;
x236.up = 26;
x237.up = 100000;
x238.up = 100000;
x239.up = 100000;
x240.up = 100000;
x241.up = 100000;
x242.up = 100000;
x243.up = 100000;
x244.up = 100000;
x245.up = 100000;
x246.up = 100000;
x247.up = 100000;
x248.up = 100000;
x249.up = 100000;
x250.up = 100000;
x251.up = 100000;
x252.up = 100000;
x253.up = 88;
x254.up = 100000;
x255.up = 100000;
x256.up = 100000;
x257.up = 100000;
x258.up = 100000;
x259.up = 100000;
x260.up = 100000;
x261.up = 100000;
x262.up = 100000;
x263.up = 100000;
x264.up = 100000;
x265.up = 100000;
x266.up = 100000;
x267.up = 100000;
x268.up = 100000;
x269.up = 100000;
x270.up = 100;
x271.up = 100000;
x272.up = 100000;
x273.up = 100000;
x274.up = 100000;
x275.up = 100000;
x276.up = 100000;
x277.up = 100000;
x278.up = 100000;
x279.up = 100000;
x280.up = 100000;
x281.up = 100000;
x282.up = 100000;
x283.up = 100000;
x284.up = 100000;
x285.up = 100000;
x286.up = 100000;
x287.up = 55;
x288.up = 100000;
x289.up = 100000;
x290.up = 100000;
x291.up = 100000;
x292.up = 100000;
x293.up = 100000;
x294.up = 100000;
x295.up = 100000;
x296.up = 100000;
x297.up = 100000;
x298.up = 100000;
x299.up = 100000;
x300.up = 100000;
x301.up = 100000;
x302.up = 100000;
x303.up = 100000;
x304.up = 50;
x305.up = 100000;
x306.up = 100000;
x307.up = 100000;
x308.up = 100000;
x309.up = 100000;
x310.up = 100000;
x311.up = 100000;
x312.up = 100000;
x313.up = 100000;
x314.up = 100000;
x315.up = 100000;
x316.up = 100000;
x317.up = 100000;
x318.up = 100000;
x319.up = 100000;
x320.up = 100000;
x321.up = 26;
x322.up = 100000;
x323.up = 100000;
x324.up = 100000;
x325.up = 100000;
x326.up = 100000;
x327.up = 100000;
x328.up = 100000;
x329.up = 100000;
x330.up = 100000;
x331.up = 100000;
x332.up = 100000;
x333.up = 100000;
x334.up = 100000;
x335.up = 100000;
x336.up = 100000;
x337.up = 100000;
x338.up = 98;
x339.up = 100000;
x340.up = 100000;
x341.up = 100000;
x342.up = 100000;
x343.up = 100000;
x344.up = 100000;
x345.up = 100000;
x346.up = 100000;
x347.up = 100000;
x348.up = 100000;
x349.up = 100000;
x350.up = 100000;
x351.up = 100000;
x352.up = 100000;
x353.up = 100000;
x354.up = 100000;
x355.up = 115;
x356.up = 100000;
x357.up = 100000;
x358.up = 100000;
x359.up = 100000;
x360.up = 100000;
x361.up = 100000;
x362.up = 100000;
x363.up = 100000;
x364.up = 100000;
x365.up = 100000;
x366.up = 100000;
x367.up = 100000;
x368.up = 100000;
x369.up = 100000;
x370.up = 100000;
x371.up = 100000;
x372.up = 85;
x373.up = 100000;
x374.up = 100000;
x375.up = 100000;
x376.up = 100000;
x377.up = 100000;
x378.up = 100000;
x379.up = 100000;
x380.up = 100000;
x381.up = 100000;
x382.up = 100000;
x383.up = 100000;
x384.up = 100000;
x385.up = 100000;
x386.up = 100000;
x387.up = 100000;
x388.up = 100000;
x389.up = 95;
x390.up = 100000;
x391.up = 100000;
x392.up = 100000;
x393.up = 100000;
x394.up = 100000;
x395.up = 100000;
x396.up = 100000;
x397.up = 100000;
x398.up = 100000;
x399.up = 100000;
x400.up = 100000;
x401.up = 100000;
x402.up = 100000;
x403.up = 100000;
x404.up = 100000;
x405.up = 100000;
x406.up = 100;
x407.up = 100000;
x408.up = 100000;
x409.up = 100000;
x410.up = 100000;
x411.up = 100000;
x412.up = 100000;
x413.up = 100000;
x414.up = 100000;
x415.up = 100000;
x416.up = 100000;
x417.up = 100000;
x418.up = 100000;
x419.up = 100000;
x420.up = 100000;
x421.up = 100000;
x422.up = 100000;
x423.up = 100000;
x424.up = 100000;
x425.up = 100000;
x426.up = 100000;
x427.up = 100000;
x428.up = 100000;
x429.up = 100000;
x430.up = 100000;
x431.up = 100000;
x432.up = 100000;
x433.up = 100000;
x434.up = 100000;
x435.up = 100000;
x436.up = 100000;
x437.up = 100000;
x438.up = 100000;
x439.up = 100000;
x440.up = 100000;
x441.up = 100000;
x442.up = 100000;
x443.up = 100000;
x444.up = 100000;
x445.up = 100000;
x446.up = 100000;
x447.up = 100000;
x448.up = 100000;
x449.up = 100000;
x450.up = 100000;
x451.up = 100000;
x452.up = 100000;
x453.up = 100000;
x454.up = 100000;
x455.up = 100000;
x456.up = 100000;
x457.up = 100000;
x458.up = 100000;
x459.up = 100000;
x460.up = 100000;
x461.up = 100000;
x462.up = 100000;
x463.up = 100000;
x464.up = 100000;
x465.up = 100000;
x466.up = 100000;
x467.up = 100000;
x468.up = 100000;
x469.up = 100000;
x470.up = 100000;
x471.up = 100000;
x472.up = 100000;
x473.up = 100000;
x474.up = 100000;
x475.up = 100000;
x476.up = 100000;
x477.up = 100000;
x478.up = 100000;
x479.up = 100000;
x480.up = 100000;
x481.up = 100000;
x482.up = 100000;
x483.up = 100000;
x484.up = 100000;
x485.up = 100000;
x486.up = 100000;

Model m / all /;

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

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

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





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