QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3120

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 1285.00589700 (gdx, sol)
Solution point infeasibility solinfeasibility 2.9104e-11
Donor donor Ruth Misener
#Variables nvars 662
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 462
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 462
#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 60
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 244
#Linear Constraints nlincons 40
#Quadratic Constraints nquadcons 204
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 204
#Nonzeros in Jacobian njacobiannz 5668
#Nonlinear Nonzeros in Jacobian njacobiannlnz 3780
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 3696
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 14
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 33
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 33
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 33.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3120.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        245      209       36        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        663      663        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       5729     1949     3780        0
*
*  Solve m using QCP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
          ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
          ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
          ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
          ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583
          ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596
          ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609
          ,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622
          ,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635
          ,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648
          ,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661
          ,x662,x663;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
          ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
          ,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
          ,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
          ,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
          ,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
          ,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
          ,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
          ,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
          ,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
          ,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517
          ,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530
          ,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543
          ,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556
          ,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569
          ,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582
          ,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595
          ,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608
          ,x609,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621
          ,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634
          ,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647
          ,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660
          ,x661,x662,x663;

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;


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
      =E= 0;

e2..  - x2 - x22 - x42 + x230 - x231 - x232 - x233 - x234 - x235 - x236 - x237
      - x238 - x239 - x240 - x241 - x242 - x243 - x244 - x245 - x246 - x247
      - x248 - x249 - x250 =E= 0;

e3..  - x3 - x23 - x43 + x251 - x252 - x253 - x254 - x255 - x256 - x257 - x258
      - x259 - x260 - x261 - x262 - x263 - x264 - x265 - x266 - x267 - x268
      - x269 - x270 - x271 =E= 0;

e4..  - x4 - x24 - x44 + x272 - x273 - x274 - x275 - x276 - x277 - x278 - x279
      - x280 - x281 - x282 - x283 - x284 - x285 - x286 - x287 - x288 - x289
      - x290 - x291 - x292 =E= 0;

e5..  - x5 - x25 - x45 + x293 - x294 - x295 - x296 - x297 - x298 - x299 - x300
      - x301 - x302 - x303 - x304 - x305 - x306 - x307 - x308 - x309 - x310
      - x311 - x312 - x313 =E= 0;

e6..  - x6 - x26 - x46 + x314 - x315 - x316 - x317 - x318 - x319 - x320 - x321
      - x322 - x323 - x324 - x325 - x326 - x327 - x328 - x329 - x330 - x331
      - x332 - x333 - x334 =E= 0;

e7..  - x7 - x27 - x47 + x335 - x336 - x337 - x338 - x339 - x340 - x341 - x342
      - x343 - x344 - x345 - x346 - x347 - x348 - x349 - x350 - x351 - x352
      - x353 - x354 - x355 =E= 0;

e8..  - x8 - x28 - x48 + x356 - x357 - x358 - x359 - x360 - x361 - x362 - x363
      - x364 - x365 - x366 - x367 - x368 - x369 - x370 - x371 - x372 - x373
      - x374 - x375 - x376 =E= 0;

e9..  - x9 - x29 - x49 + x377 - x378 - x379 - x380 - x381 - x382 - x383 - x384
      - x385 - x386 - x387 - x388 - x389 - x390 - x391 - x392 - x393 - x394
      - x395 - x396 - x397 =E= 0;

e10..  - x10 - x30 - x50 + x398 - x399 - x400 - x401 - x402 - x403 - x404
       - x405 - x406 - x407 - x408 - x409 - x410 - x411 - x412 - x413 - x414
       - x415 - x416 - x417 - x418 =E= 0;

e11..  - x11 - x31 - x51 + x419 - x420 - x421 - x422 - x423 - x424 - x425
       - x426 - x427 - x428 - x429 - x430 - x431 - x432 - x433 - x434 - x435
       - x436 - x437 - x438 - x439 =E= 0;

e12..  - x12 - x32 - x52 + x440 - x441 - x442 - x443 - x444 - x445 - x446
       - x447 - x448 - x449 - x450 - x451 - x452 - x453 - x454 - x455 - x456
       - x457 - x458 - x459 - x460 =E= 0;

e13..  - x13 - x33 - x53 + x461 - x462 - x463 - x464 - x465 - x466 - x467
       - x468 - x469 - x470 - x471 - x472 - x473 - x474 - x475 - x476 - x477
       - x478 - x479 - x480 - x481 =E= 0;

e14..  - x14 - x34 - x54 + x482 - x483 - x484 - x485 - x486 - x487 - x488
       - x489 - x490 - x491 - x492 - x493 - x494 - x495 - x496 - x497 - x498
       - x499 - x500 - x501 - x502 =E= 0;

e15..  - x15 - x35 - x55 + x503 - x504 - x505 - x506 - x507 - x508 - x509
       - x510 - x511 - x512 - x513 - x514 - x515 - x516 - x517 - x518 - x519
       - x520 - x521 - x522 - x523 =E= 0;

e16..  - x16 - x36 - x56 - x524 - x525 - x526 - x527 - x528 - x529 - x530
       - x531 - x532 - x533 - x534 - x535 - x536 - x537 - x538 - x539 - x540
       - x541 - x542 - x543 =E= -100;

e17..  - x17 - x37 - x57 - x544 - x545 - x546 - x547 - x548 - x549 - x550
       - x551 - x552 - x553 - x554 - x555 - x556 - x557 - x558 - x559 - x560
       - x561 - x562 - x563 =E= -185;

e18..  - x18 - x38 - x58 - x564 - x565 - x566 - x567 - x568 - x569 - x570
       - x571 - x572 - x573 - x574 - x575 - x576 - x577 - x578 - x579 - x580
       - x581 - x582 - x583 =E= -95;

e19..  - x19 - x39 - x59 - x584 - x585 - x586 - x587 - x588 - x589 - x590
       - x591 - x592 - x593 - x594 - x595 - x596 - x597 - x598 - x599 - x600
       - x601 - x602 - x603 =E= -100;

e20..  - x20 - x40 - x60 - x604 - x605 - x606 - x607 - x608 - x609 - x610
       - x611 - x612 - x613 - x614 - x615 - x616 - x617 - x618 - x619 - x620
       - x621 - x622 - x623 =E= -75;

e21..  - x21 - x41 - x61 - x624 - x625 - x626 - x627 - x628 - x629 - x630
       - x631 - x632 - x633 - x634 - x635 - x636 - x637 - x638 - x639 - x640
       - x641 - x642 - x643 =E= -80;

e22..    x230 - x231 - x252 - x273 - x294 - x315 - x336 - x357 - x378 - x399
       - x420 - x441 - x462 - x483 - x504 - x524 - x544 - x564 - x584 - x604
       - x624 - x644 =E= 0;

e23..  - x232 + x251 - x253 - x274 - x295 - x316 - x337 - x358 - x379 - x400
       - x421 - x442 - x463 - x484 - x505 - x525 - x545 - x565 - x585 - x605
       - x625 - x645 =E= 0;

e24..  - x233 - x254 + x272 - x275 - x296 - x317 - x338 - x359 - x380 - x401
       - x422 - x443 - x464 - x485 - x506 - x526 - x546 - x566 - x586 - x606
       - x626 - x646 =E= 0;

e25..  - x234 - x255 - x276 + x293 - x297 - x318 - x339 - x360 - x381 - x402
       - x423 - x444 - x465 - x486 - x507 - x527 - x547 - x567 - x587 - x607
       - x627 - x647 =E= 0;

e26..  - x235 - x256 - x277 - x298 + x314 - x319 - x340 - x361 - x382 - x403
       - x424 - x445 - x466 - x487 - x508 - x528 - x548 - x568 - x588 - x608
       - x628 - x648 =E= 0;

e27..  - x236 - x257 - x278 - x299 - x320 + x335 - x341 - x362 - x383 - x404
       - x425 - x446 - x467 - x488 - x509 - x529 - x549 - x569 - x589 - x609
       - x629 - x649 =E= 0;

e28..  - x237 - x258 - x279 - x300 - x321 - x342 + x356 - x363 - x384 - x405
       - x426 - x447 - x468 - x489 - x510 - x530 - x550 - x570 - x590 - x610
       - x630 - x650 =E= 0;

e29..  - x238 - x259 - x280 - x301 - x322 - x343 - x364 + x377 - x385 - x406
       - x427 - x448 - x469 - x490 - x511 - x531 - x551 - x571 - x591 - x611
       - x631 - x651 =E= 0;

e30..  - x239 - x260 - x281 - x302 - x323 - x344 - x365 - x386 + x398 - x407
       - x428 - x449 - x470 - x491 - x512 - x532 - x552 - x572 - x592 - x612
       - x632 - x652 =E= 0;

e31..  - x240 - x261 - x282 - x303 - x324 - x345 - x366 - x387 - x408 + x419
       - x429 - x450 - x471 - x492 - x513 - x533 - x553 - x573 - x593 - x613
       - x633 - x653 =E= 0;

e32..  - x241 - x262 - x283 - x304 - x325 - x346 - x367 - x388 - x409 - x430
       + x440 - x451 - x472 - x493 - x514 - x534 - x554 - x574 - x594 - x614
       - x634 - x654 =E= 0;

e33..  - x242 - x263 - x284 - x305 - x326 - x347 - x368 - x389 - x410 - x431
       - x452 + x461 - x473 - x494 - x515 - x535 - x555 - x575 - x595 - x615
       - x635 - x655 =E= 0;

e34..  - x243 - x264 - x285 - x306 - x327 - x348 - x369 - x390 - x411 - x432
       - x453 - x474 + x482 - x495 - x516 - x536 - x556 - x576 - x596 - x616
       - x636 - x656 =E= 0;

e35..  - x244 - x265 - x286 - x307 - x328 - x349 - x370 - x391 - x412 - x433
       - x454 - x475 - x496 + x503 - x517 - x537 - x557 - x577 - x597 - x617
       - x637 - x657 =E= 0;

e36..  - x245 - x266 - x287 - x308 - x329 - x350 - x371 - x392 - x413 - x434
       - x455 - x476 - x497 - x518 - x538 - x558 - x578 - x598 - x618 - x638
       - x658 =E= -80;

e37..  - x246 - x267 - x288 - x309 - x330 - x351 - x372 - x393 - x414 - x435
       - x456 - x477 - x498 - x519 - x539 - x559 - x579 - x599 - x619 - x639
       - x659 =E= -200;

e38..  - x247 - x268 - x289 - x310 - x331 - x352 - x373 - x394 - x415 - x436
       - x457 - x478 - x499 - x520 - x540 - x560 - x580 - x600 - x620 - x640
       - x660 =E= -65;

e39..  - x248 - x269 - x290 - x311 - x332 - x353 - x374 - x395 - x416 - x437
       - x458 - x479 - x500 - x521 - x541 - x561 - x581 - x601 - x621 - x641
       - x661 =E= -50;

e40..  - x249 - x270 - x291 - x312 - x333 - x354 - x375 - x396 - x417 - x438
       - x459 - x480 - x501 - x522 - x542 - x562 - x582 - x602 - x622 - x642
       - x662 =E= -95;

e41..  - x250 - x271 - x292 - x313 - x334 - x355 - x376 - x397 - x418 - x439
       - x460 - x481 - x502 - x523 - x543 - x563 - x583 - x603 - x623 - x643
       - x663 =E= -70;

e42.. x230*x62 - x231*x146 - x232*x152 - x233*x158 - x234*x164 - x235*x170 - 
      x236*x176 - x237*x182 - x238*x188 - x239*x194 - x240*x200 - x241*x206 - 
      x242*x212 - x243*x218 - x244*x224 - 3*x2 - 4*x42 - 68*x245 - 170*x246
       - 342*x247 - 320*x248 - 1000*x249 - 120*x250 =E= 0;

e43.. x230*x63 - x231*x147 - x232*x153 - x233*x159 - x234*x165 - x235*x171 - 
      x236*x177 - x237*x183 - x238*x189 - x239*x195 - x240*x201 - x241*x207 - 
      x242*x213 - x243*x219 - x244*x225 - 5*x2 - 3*x22 - x42 - 90*x245
       - 130*x246 - 720*x247 - 60*x248 - 110*x249 - 150*x250 =E= 0;

e44.. x230*x64 - x231*x148 - x232*x154 - x233*x160 - x234*x166 - x235*x172 - 
      x236*x178 - x237*x184 - x238*x190 - x239*x196 - x240*x202 - x241*x208 - 
      x242*x214 - x243*x220 - x244*x226 - 2*x22 - 2*x42 - 230*x245 - 100*x246
       - 400*x247 - 100*x248 - 360*x249 - 400*x250 =E= 0;

e45.. x230*x65 - x231*x149 - x232*x155 - x233*x161 - x234*x167 - x235*x173 - 
      x236*x179 - x237*x185 - x238*x191 - x239*x197 - x240*x203 - x241*x209 - 
      x242*x215 - x243*x221 - x244*x227 - 8*x2 - 7*x22 - 3*x42 - 33*x245
       - 22234*x246 - 40*x247 - 55*x248 - 60*x249 - 115*x250 =E= 0;

e46.. x230*x66 - x231*x150 - x232*x156 - x233*x162 - x234*x168 - x235*x174 - 
      x236*x180 - x237*x186 - x238*x192 - x239*x198 - x240*x204 - x241*x210 - 
      x242*x216 - x243*x222 - x244*x228 - 3*x2 - 5*x22 - 4*x42 - 410*x245
       - 198*x246 - 767*x247 - 1000*x248 - 678*x249 - 170*x250 =E= 0;

e47.. x230*x67 - x231*x151 - x232*x157 - x233*x163 - x234*x169 - x235*x175 - 
      x236*x181 - x237*x187 - x238*x193 - x239*x199 - x240*x205 - x241*x211 - 
      x242*x217 - x243*x223 - x244*x229 - 150*x245 - 1000*x246 - 700*x247
       - 800*x248 - 50*x249 - 75*x250 =E= 0;

e48.. x251*x68 - x252*x146 - x253*x152 - x254*x158 - x255*x164 - x256*x170 - 
      x257*x176 - x258*x182 - x259*x188 - x260*x194 - x261*x200 - x262*x206 - 
      x263*x212 - x264*x218 - x265*x224 - 3*x3 - 4*x43 - 68*x266 - 170*x267
       - 342*x268 - 320*x269 - 1000*x270 - 120*x271 =E= 0;

e49.. x251*x69 - x252*x147 - x253*x153 - x254*x159 - x255*x165 - x256*x171 - 
      x257*x177 - x258*x183 - x259*x189 - x260*x195 - x261*x201 - x262*x207 - 
      x263*x213 - x264*x219 - x265*x225 - 5*x3 - 3*x23 - x43 - 90*x266
       - 130*x267 - 720*x268 - 60*x269 - 110*x270 - 150*x271 =E= 0;

e50.. x251*x70 - x252*x148 - x253*x154 - x254*x160 - x255*x166 - x256*x172 - 
      x257*x178 - x258*x184 - x259*x190 - x260*x196 - x261*x202 - x262*x208 - 
      x263*x214 - x264*x220 - x265*x226 - 2*x23 - 2*x43 - 230*x266 - 100*x267
       - 400*x268 - 100*x269 - 360*x270 - 400*x271 =E= 0;

e51.. x251*x71 - x252*x149 - x253*x155 - x254*x161 - x255*x167 - x256*x173 - 
      x257*x179 - x258*x185 - x259*x191 - x260*x197 - x261*x203 - x262*x209 - 
      x263*x215 - x264*x221 - x265*x227 - 8*x3 - 7*x23 - 3*x43 - 33*x266
       - 22234*x267 - 40*x268 - 55*x269 - 60*x270 - 115*x271 =E= 0;

e52.. x251*x72 - x252*x150 - x253*x156 - x254*x162 - x255*x168 - x256*x174 - 
      x257*x180 - x258*x186 - x259*x192 - x260*x198 - x261*x204 - x262*x210 - 
      x263*x216 - x264*x222 - x265*x228 - 3*x3 - 5*x23 - 4*x43 - 410*x266
       - 198*x267 - 767*x268 - 1000*x269 - 678*x270 - 170*x271 =E= 0;

e53.. x251*x73 - x252*x151 - x253*x157 - x254*x163 - x255*x169 - x256*x175 - 
      x257*x181 - x258*x187 - x259*x193 - x260*x199 - x261*x205 - x262*x211 - 
      x263*x217 - x264*x223 - x265*x229 - 150*x266 - 1000*x267 - 700*x268
       - 800*x269 - 50*x270 - 75*x271 =E= 0;

e54.. x272*x74 - x273*x146 - x274*x152 - x275*x158 - x276*x164 - x277*x170 - 
      x278*x176 - x279*x182 - x280*x188 - x281*x194 - x282*x200 - x283*x206 - 
      x284*x212 - x285*x218 - x286*x224 - 3*x4 - 4*x44 - 68*x287 - 170*x288
       - 342*x289 - 320*x290 - 1000*x291 - 120*x292 =E= 0;

e55.. x272*x75 - x273*x147 - x274*x153 - x275*x159 - x276*x165 - x277*x171 - 
      x278*x177 - x279*x183 - x280*x189 - x281*x195 - x282*x201 - x283*x207 - 
      x284*x213 - x285*x219 - x286*x225 - 5*x4 - 3*x24 - x44 - 90*x287
       - 130*x288 - 720*x289 - 60*x290 - 110*x291 - 150*x292 =E= 0;

e56.. x272*x76 - x273*x148 - x274*x154 - x275*x160 - x276*x166 - x277*x172 - 
      x278*x178 - x279*x184 - x280*x190 - x281*x196 - x282*x202 - x283*x208 - 
      x284*x214 - x285*x220 - x286*x226 - 2*x24 - 2*x44 - 230*x287 - 100*x288
       - 400*x289 - 100*x290 - 360*x291 - 400*x292 =E= 0;

e57.. x272*x77 - x273*x149 - x274*x155 - x275*x161 - x276*x167 - x277*x173 - 
      x278*x179 - x279*x185 - x280*x191 - x281*x197 - x282*x203 - x283*x209 - 
      x284*x215 - x285*x221 - x286*x227 - 8*x4 - 7*x24 - 3*x44 - 33*x287
       - 22234*x288 - 40*x289 - 55*x290 - 60*x291 - 115*x292 =E= 0;

e58.. x272*x78 - x273*x150 - x274*x156 - x275*x162 - x276*x168 - x277*x174 - 
      x278*x180 - x279*x186 - x280*x192 - x281*x198 - x282*x204 - x283*x210 - 
      x284*x216 - x285*x222 - x286*x228 - 3*x4 - 5*x24 - 4*x44 - 410*x287
       - 198*x288 - 767*x289 - 1000*x290 - 678*x291 - 170*x292 =E= 0;

e59.. x272*x79 - x273*x151 - x274*x157 - x275*x163 - x276*x169 - x277*x175 - 
      x278*x181 - x279*x187 - x280*x193 - x281*x199 - x282*x205 - x283*x211 - 
      x284*x217 - x285*x223 - x286*x229 - 150*x287 - 1000*x288 - 700*x289
       - 800*x290 - 50*x291 - 75*x292 =E= 0;

e60.. x293*x80 - x294*x146 - x295*x152 - x296*x158 - x297*x164 - x298*x170 - 
      x299*x176 - x300*x182 - x301*x188 - x302*x194 - x303*x200 - x304*x206 - 
      x305*x212 - x306*x218 - x307*x224 - 3*x5 - 4*x45 - 68*x308 - 170*x309
       - 342*x310 - 320*x311 - 1000*x312 - 120*x313 =E= 0;

e61.. x293*x81 - x294*x147 - x295*x153 - x296*x159 - x297*x165 - x298*x171 - 
      x299*x177 - x300*x183 - x301*x189 - x302*x195 - x303*x201 - x304*x207 - 
      x305*x213 - x306*x219 - x307*x225 - 5*x5 - 3*x25 - x45 - 90*x308
       - 130*x309 - 720*x310 - 60*x311 - 110*x312 - 150*x313 =E= 0;

e62.. x293*x82 - x294*x148 - x295*x154 - x296*x160 - x297*x166 - x298*x172 - 
      x299*x178 - x300*x184 - x301*x190 - x302*x196 - x303*x202 - x304*x208 - 
      x305*x214 - x306*x220 - x307*x226 - 2*x25 - 2*x45 - 230*x308 - 100*x309
       - 400*x310 - 100*x311 - 360*x312 - 400*x313 =E= 0;

e63.. x293*x83 - x294*x149 - x295*x155 - x296*x161 - x297*x167 - x298*x173 - 
      x299*x179 - x300*x185 - x301*x191 - x302*x197 - x303*x203 - x304*x209 - 
      x305*x215 - x306*x221 - x307*x227 - 8*x5 - 7*x25 - 3*x45 - 33*x308
       - 22234*x309 - 40*x310 - 55*x311 - 60*x312 - 115*x313 =E= 0;

e64.. x293*x84 - x294*x150 - x295*x156 - x296*x162 - x297*x168 - x298*x174 - 
      x299*x180 - x300*x186 - x301*x192 - x302*x198 - x303*x204 - x304*x210 - 
      x305*x216 - x306*x222 - x307*x228 - 3*x5 - 5*x25 - 4*x45 - 410*x308
       - 198*x309 - 767*x310 - 1000*x311 - 678*x312 - 170*x313 =E= 0;

e65.. x293*x85 - x294*x151 - x295*x157 - x296*x163 - x297*x169 - x298*x175 - 
      x299*x181 - x300*x187 - x301*x193 - x302*x199 - x303*x205 - x304*x211 - 
      x305*x217 - x306*x223 - x307*x229 - 150*x308 - 1000*x309 - 700*x310
       - 800*x311 - 50*x312 - 75*x313 =E= 0;

e66.. x314*x86 - x315*x146 - x316*x152 - x317*x158 - x318*x164 - x319*x170 - 
      x320*x176 - x321*x182 - x322*x188 - x323*x194 - x324*x200 - x325*x206 - 
      x326*x212 - x327*x218 - x328*x224 - 3*x6 - 4*x46 - 68*x329 - 170*x330
       - 342*x331 - 320*x332 - 1000*x333 - 120*x334 =E= 0;

e67.. x314*x87 - x315*x147 - x316*x153 - x317*x159 - x318*x165 - x319*x171 - 
      x320*x177 - x321*x183 - x322*x189 - x323*x195 - x324*x201 - x325*x207 - 
      x326*x213 - x327*x219 - x328*x225 - 5*x6 - 3*x26 - x46 - 90*x329
       - 130*x330 - 720*x331 - 60*x332 - 110*x333 - 150*x334 =E= 0;

e68.. x314*x88 - x315*x148 - x316*x154 - x317*x160 - x318*x166 - x319*x172 - 
      x320*x178 - x321*x184 - x322*x190 - x323*x196 - x324*x202 - x325*x208 - 
      x326*x214 - x327*x220 - x328*x226 - 2*x26 - 2*x46 - 230*x329 - 100*x330
       - 400*x331 - 100*x332 - 360*x333 - 400*x334 =E= 0;

e69.. x314*x89 - x315*x149 - x316*x155 - x317*x161 - x318*x167 - x319*x173 - 
      x320*x179 - x321*x185 - x322*x191 - x323*x197 - x324*x203 - x325*x209 - 
      x326*x215 - x327*x221 - x328*x227 - 8*x6 - 7*x26 - 3*x46 - 33*x329
       - 22234*x330 - 40*x331 - 55*x332 - 60*x333 - 115*x334 =E= 0;

e70.. x314*x90 - x315*x150 - x316*x156 - x317*x162 - x318*x168 - x319*x174 - 
      x320*x180 - x321*x186 - x322*x192 - x323*x198 - x324*x204 - x325*x210 - 
      x326*x216 - x327*x222 - x328*x228 - 3*x6 - 5*x26 - 4*x46 - 410*x329
       - 198*x330 - 767*x331 - 1000*x332 - 678*x333 - 170*x334 =E= 0;

e71.. x314*x91 - x315*x151 - x316*x157 - x317*x163 - x318*x169 - x319*x175 - 
      x320*x181 - x321*x187 - x322*x193 - x323*x199 - x324*x205 - x325*x211 - 
      x326*x217 - x327*x223 - x328*x229 - 150*x329 - 1000*x330 - 700*x331
       - 800*x332 - 50*x333 - 75*x334 =E= 0;

e72.. x335*x92 - x336*x146 - x337*x152 - x338*x158 - x339*x164 - x340*x170 - 
      x341*x176 - x342*x182 - x343*x188 - x344*x194 - x345*x200 - x346*x206 - 
      x347*x212 - x348*x218 - x349*x224 - 3*x7 - 4*x47 - 68*x350 - 170*x351
       - 342*x352 - 320*x353 - 1000*x354 - 120*x355 =E= 0;

e73.. x335*x93 - x336*x147 - x337*x153 - x338*x159 - x339*x165 - x340*x171 - 
      x341*x177 - x342*x183 - x343*x189 - x344*x195 - x345*x201 - x346*x207 - 
      x347*x213 - x348*x219 - x349*x225 - 5*x7 - 3*x27 - x47 - 90*x350
       - 130*x351 - 720*x352 - 60*x353 - 110*x354 - 150*x355 =E= 0;

e74.. x335*x94 - x336*x148 - x337*x154 - x338*x160 - x339*x166 - x340*x172 - 
      x341*x178 - x342*x184 - x343*x190 - x344*x196 - x345*x202 - x346*x208 - 
      x347*x214 - x348*x220 - x349*x226 - 2*x27 - 2*x47 - 230*x350 - 100*x351
       - 400*x352 - 100*x353 - 360*x354 - 400*x355 =E= 0;

e75.. x335*x95 - x336*x149 - x337*x155 - x338*x161 - x339*x167 - x340*x173 - 
      x341*x179 - x342*x185 - x343*x191 - x344*x197 - x345*x203 - x346*x209 - 
      x347*x215 - x348*x221 - x349*x227 - 8*x7 - 7*x27 - 3*x47 - 33*x350
       - 22234*x351 - 40*x352 - 55*x353 - 60*x354 - 115*x355 =E= 0;

e76.. x335*x96 - x336*x150 - x337*x156 - x338*x162 - x339*x168 - x340*x174 - 
      x341*x180 - x342*x186 - x343*x192 - x344*x198 - x345*x204 - x346*x210 - 
      x347*x216 - x348*x222 - x349*x228 - 3*x7 - 5*x27 - 4*x47 - 410*x350
       - 198*x351 - 767*x352 - 1000*x353 - 678*x354 - 170*x355 =E= 0;

e77.. x335*x97 - x336*x151 - x337*x157 - x338*x163 - x339*x169 - x340*x175 - 
      x341*x181 - x342*x187 - x343*x193 - x344*x199 - x345*x205 - x346*x211 - 
      x347*x217 - x348*x223 - x349*x229 - 150*x350 - 1000*x351 - 700*x352
       - 800*x353 - 50*x354 - 75*x355 =E= 0;

e78.. x356*x98 - x357*x146 - x358*x152 - x359*x158 - x360*x164 - x361*x170 - 
      x362*x176 - x363*x182 - x364*x188 - x365*x194 - x366*x200 - x367*x206 - 
      x368*x212 - x369*x218 - x370*x224 - 3*x8 - 4*x48 - 68*x371 - 170*x372
       - 342*x373 - 320*x374 - 1000*x375 - 120*x376 =E= 0;

e79.. x356*x99 - x357*x147 - x358*x153 - x359*x159 - x360*x165 - x361*x171 - 
      x362*x177 - x363*x183 - x364*x189 - x365*x195 - x366*x201 - x367*x207 - 
      x368*x213 - x369*x219 - x370*x225 - 5*x8 - 3*x28 - x48 - 90*x371
       - 130*x372 - 720*x373 - 60*x374 - 110*x375 - 150*x376 =E= 0;

e80.. x356*x100 - x357*x148 - x358*x154 - x359*x160 - x360*x166 - x361*x172 - 
      x362*x178 - x363*x184 - x364*x190 - x365*x196 - x366*x202 - x367*x208 - 
      x368*x214 - x369*x220 - x370*x226 - 2*x28 - 2*x48 - 230*x371 - 100*x372
       - 400*x373 - 100*x374 - 360*x375 - 400*x376 =E= 0;

e81.. x356*x101 - x357*x149 - x358*x155 - x359*x161 - x360*x167 - x361*x173 - 
      x362*x179 - x363*x185 - x364*x191 - x365*x197 - x366*x203 - x367*x209 - 
      x368*x215 - x369*x221 - x370*x227 - 8*x8 - 7*x28 - 3*x48 - 33*x371
       - 22234*x372 - 40*x373 - 55*x374 - 60*x375 - 115*x376 =E= 0;

e82.. x356*x102 - x357*x150 - x358*x156 - x359*x162 - x360*x168 - x361*x174 - 
      x362*x180 - x363*x186 - x364*x192 - x365*x198 - x366*x204 - x367*x210 - 
      x368*x216 - x369*x222 - x370*x228 - 3*x8 - 5*x28 - 4*x48 - 410*x371
       - 198*x372 - 767*x373 - 1000*x374 - 678*x375 - 170*x376 =E= 0;

e83.. x356*x103 - x357*x151 - x358*x157 - x359*x163 - x360*x169 - x361*x175 - 
      x362*x181 - x363*x187 - x364*x193 - x365*x199 - x366*x205 - x367*x211 - 
      x368*x217 - x369*x223 - x370*x229 - 150*x371 - 1000*x372 - 700*x373
       - 800*x374 - 50*x375 - 75*x376 =E= 0;

e84.. x377*x104 - x378*x146 - x379*x152 - x380*x158 - x381*x164 - x382*x170 - 
      x383*x176 - x384*x182 - x385*x188 - x386*x194 - x387*x200 - x388*x206 - 
      x389*x212 - x390*x218 - x391*x224 - 3*x9 - 4*x49 - 68*x392 - 170*x393
       - 342*x394 - 320*x395 - 1000*x396 - 120*x397 =E= 0;

e85.. x377*x105 - x378*x147 - x379*x153 - x380*x159 - x381*x165 - x382*x171 - 
      x383*x177 - x384*x183 - x385*x189 - x386*x195 - x387*x201 - x388*x207 - 
      x389*x213 - x390*x219 - x391*x225 - 5*x9 - 3*x29 - x49 - 90*x392
       - 130*x393 - 720*x394 - 60*x395 - 110*x396 - 150*x397 =E= 0;

e86.. x377*x106 - x378*x148 - x379*x154 - x380*x160 - x381*x166 - x382*x172 - 
      x383*x178 - x384*x184 - x385*x190 - x386*x196 - x387*x202 - x388*x208 - 
      x389*x214 - x390*x220 - x391*x226 - 2*x29 - 2*x49 - 230*x392 - 100*x393
       - 400*x394 - 100*x395 - 360*x396 - 400*x397 =E= 0;

e87.. x377*x107 - x378*x149 - x379*x155 - x380*x161 - x381*x167 - x382*x173 - 
      x383*x179 - x384*x185 - x385*x191 - x386*x197 - x387*x203 - x388*x209 - 
      x389*x215 - x390*x221 - x391*x227 - 8*x9 - 7*x29 - 3*x49 - 33*x392
       - 22234*x393 - 40*x394 - 55*x395 - 60*x396 - 115*x397 =E= 0;

e88.. x377*x108 - x378*x150 - x379*x156 - x380*x162 - x381*x168 - x382*x174 - 
      x383*x180 - x384*x186 - x385*x192 - x386*x198 - x387*x204 - x388*x210 - 
      x389*x216 - x390*x222 - x391*x228 - 3*x9 - 5*x29 - 4*x49 - 410*x392
       - 198*x393 - 767*x394 - 1000*x395 - 678*x396 - 170*x397 =E= 0;

e89.. x377*x109 - x378*x151 - x379*x157 - x380*x163 - x381*x169 - x382*x175 - 
      x383*x181 - x384*x187 - x385*x193 - x386*x199 - x387*x205 - x388*x211 - 
      x389*x217 - x390*x223 - x391*x229 - 150*x392 - 1000*x393 - 700*x394
       - 800*x395 - 50*x396 - 75*x397 =E= 0;

e90.. x398*x110 - x399*x146 - x400*x152 - x401*x158 - x402*x164 - x403*x170 - 
      x404*x176 - x405*x182 - x406*x188 - x407*x194 - x408*x200 - x409*x206 - 
      x410*x212 - x411*x218 - x412*x224 - 3*x10 - 4*x50 - 68*x413 - 170*x414
       - 342*x415 - 320*x416 - 1000*x417 - 120*x418 =E= 0;

e91.. x398*x111 - x399*x147 - x400*x153 - x401*x159 - x402*x165 - x403*x171 - 
      x404*x177 - x405*x183 - x406*x189 - x407*x195 - x408*x201 - x409*x207 - 
      x410*x213 - x411*x219 - x412*x225 - 5*x10 - 3*x30 - x50 - 90*x413
       - 130*x414 - 720*x415 - 60*x416 - 110*x417 - 150*x418 =E= 0;

e92.. x398*x112 - x399*x148 - x400*x154 - x401*x160 - x402*x166 - x403*x172 - 
      x404*x178 - x405*x184 - x406*x190 - x407*x196 - x408*x202 - x409*x208 - 
      x410*x214 - x411*x220 - x412*x226 - 2*x30 - 2*x50 - 230*x413 - 100*x414
       - 400*x415 - 100*x416 - 360*x417 - 400*x418 =E= 0;

e93.. x398*x113 - x399*x149 - x400*x155 - x401*x161 - x402*x167 - x403*x173 - 
      x404*x179 - x405*x185 - x406*x191 - x407*x197 - x408*x203 - x409*x209 - 
      x410*x215 - x411*x221 - x412*x227 - 8*x10 - 7*x30 - 3*x50 - 33*x413
       - 22234*x414 - 40*x415 - 55*x416 - 60*x417 - 115*x418 =E= 0;

e94.. x398*x114 - x399*x150 - x400*x156 - x401*x162 - x402*x168 - x403*x174 - 
      x404*x180 - x405*x186 - x406*x192 - x407*x198 - x408*x204 - x409*x210 - 
      x410*x216 - x411*x222 - x412*x228 - 3*x10 - 5*x30 - 4*x50 - 410*x413
       - 198*x414 - 767*x415 - 1000*x416 - 678*x417 - 170*x418 =E= 0;

e95.. x398*x115 - x399*x151 - x400*x157 - x401*x163 - x402*x169 - x403*x175 - 
      x404*x181 - x405*x187 - x406*x193 - x407*x199 - x408*x205 - x409*x211 - 
      x410*x217 - x411*x223 - x412*x229 - 150*x413 - 1000*x414 - 700*x415
       - 800*x416 - 50*x417 - 75*x418 =E= 0;

e96.. x419*x116 - x420*x146 - x421*x152 - x422*x158 - x423*x164 - x424*x170 - 
      x425*x176 - x426*x182 - x427*x188 - x428*x194 - x429*x200 - x430*x206 - 
      x431*x212 - x432*x218 - x433*x224 - 3*x11 - 4*x51 - 68*x434 - 170*x435
       - 342*x436 - 320*x437 - 1000*x438 - 120*x439 =E= 0;

e97.. x419*x117 - x420*x147 - x421*x153 - x422*x159 - x423*x165 - x424*x171 - 
      x425*x177 - x426*x183 - x427*x189 - x428*x195 - x429*x201 - x430*x207 - 
      x431*x213 - x432*x219 - x433*x225 - 5*x11 - 3*x31 - x51 - 90*x434
       - 130*x435 - 720*x436 - 60*x437 - 110*x438 - 150*x439 =E= 0;

e98.. x419*x118 - x420*x148 - x421*x154 - x422*x160 - x423*x166 - x424*x172 - 
      x425*x178 - x426*x184 - x427*x190 - x428*x196 - x429*x202 - x430*x208 - 
      x431*x214 - x432*x220 - x433*x226 - 2*x31 - 2*x51 - 230*x434 - 100*x435
       - 400*x436 - 100*x437 - 360*x438 - 400*x439 =E= 0;

e99.. x419*x119 - x420*x149 - x421*x155 - x422*x161 - x423*x167 - x424*x173 - 
      x425*x179 - x426*x185 - x427*x191 - x428*x197 - x429*x203 - x430*x209 - 
      x431*x215 - x432*x221 - x433*x227 - 8*x11 - 7*x31 - 3*x51 - 33*x434
       - 22234*x435 - 40*x436 - 55*x437 - 60*x438 - 115*x439 =E= 0;

e100.. x419*x120 - x420*x150 - x421*x156 - x422*x162 - x423*x168 - x424*x174 - 
       x425*x180 - x426*x186 - x427*x192 - x428*x198 - x429*x204 - x430*x210 - 
       x431*x216 - x432*x222 - x433*x228 - 3*x11 - 5*x31 - 4*x51 - 410*x434
        - 198*x435 - 767*x436 - 1000*x437 - 678*x438 - 170*x439 =E= 0;

e101.. x419*x121 - x420*x151 - x421*x157 - x422*x163 - x423*x169 - x424*x175 - 
       x425*x181 - x426*x187 - x427*x193 - x428*x199 - x429*x205 - x430*x211 - 
       x431*x217 - x432*x223 - x433*x229 - 150*x434 - 1000*x435 - 700*x436
        - 800*x437 - 50*x438 - 75*x439 =E= 0;

e102.. x440*x122 - x441*x146 - x442*x152 - x443*x158 - x444*x164 - x445*x170 - 
       x446*x176 - x447*x182 - x448*x188 - x449*x194 - x450*x200 - x451*x206 - 
       x452*x212 - x453*x218 - x454*x224 - 3*x12 - 4*x52 - 68*x455 - 170*x456
        - 342*x457 - 320*x458 - 1000*x459 - 120*x460 =E= 0;

e103.. x440*x123 - x441*x147 - x442*x153 - x443*x159 - x444*x165 - x445*x171 - 
       x446*x177 - x447*x183 - x448*x189 - x449*x195 - x450*x201 - x451*x207 - 
       x452*x213 - x453*x219 - x454*x225 - 5*x12 - 3*x32 - x52 - 90*x455
        - 130*x456 - 720*x457 - 60*x458 - 110*x459 - 150*x460 =E= 0;

e104.. x440*x124 - x441*x148 - x442*x154 - x443*x160 - x444*x166 - x445*x172 - 
       x446*x178 - x447*x184 - x448*x190 - x449*x196 - x450*x202 - x451*x208 - 
       x452*x214 - x453*x220 - x454*x226 - 2*x32 - 2*x52 - 230*x455 - 100*x456
        - 400*x457 - 100*x458 - 360*x459 - 400*x460 =E= 0;

e105.. x440*x125 - x441*x149 - x442*x155 - x443*x161 - x444*x167 - x445*x173 - 
       x446*x179 - x447*x185 - x448*x191 - x449*x197 - x450*x203 - x451*x209 - 
       x452*x215 - x453*x221 - x454*x227 - 8*x12 - 7*x32 - 3*x52 - 33*x455
        - 22234*x456 - 40*x457 - 55*x458 - 60*x459 - 115*x460 =E= 0;

e106.. x440*x126 - x441*x150 - x442*x156 - x443*x162 - x444*x168 - x445*x174 - 
       x446*x180 - x447*x186 - x448*x192 - x449*x198 - x450*x204 - x451*x210 - 
       x452*x216 - x453*x222 - x454*x228 - 3*x12 - 5*x32 - 4*x52 - 410*x455
        - 198*x456 - 767*x457 - 1000*x458 - 678*x459 - 170*x460 =E= 0;

e107.. x440*x127 - x441*x151 - x442*x157 - x443*x163 - x444*x169 - x445*x175 - 
       x446*x181 - x447*x187 - x448*x193 - x449*x199 - x450*x205 - x451*x211 - 
       x452*x217 - x453*x223 - x454*x229 - 150*x455 - 1000*x456 - 700*x457
        - 800*x458 - 50*x459 - 75*x460 =E= 0;

e108.. x461*x128 - x462*x146 - x463*x152 - x464*x158 - x465*x164 - x466*x170 - 
       x467*x176 - x468*x182 - x469*x188 - x470*x194 - x471*x200 - x472*x206 - 
       x473*x212 - x474*x218 - x475*x224 - 3*x13 - 4*x53 - 68*x476 - 170*x477
        - 342*x478 - 320*x479 - 1000*x480 - 120*x481 =E= 0;

e109.. x461*x129 - x462*x147 - x463*x153 - x464*x159 - x465*x165 - x466*x171 - 
       x467*x177 - x468*x183 - x469*x189 - x470*x195 - x471*x201 - x472*x207 - 
       x473*x213 - x474*x219 - x475*x225 - 5*x13 - 3*x33 - x53 - 90*x476
        - 130*x477 - 720*x478 - 60*x479 - 110*x480 - 150*x481 =E= 0;

e110.. x461*x130 - x462*x148 - x463*x154 - x464*x160 - x465*x166 - x466*x172 - 
       x467*x178 - x468*x184 - x469*x190 - x470*x196 - x471*x202 - x472*x208 - 
       x473*x214 - x474*x220 - x475*x226 - 2*x33 - 2*x53 - 230*x476 - 100*x477
        - 400*x478 - 100*x479 - 360*x480 - 400*x481 =E= 0;

e111.. x461*x131 - x462*x149 - x463*x155 - x464*x161 - x465*x167 - x466*x173 - 
       x467*x179 - x468*x185 - x469*x191 - x470*x197 - x471*x203 - x472*x209 - 
       x473*x215 - x474*x221 - x475*x227 - 8*x13 - 7*x33 - 3*x53 - 33*x476
        - 22234*x477 - 40*x478 - 55*x479 - 60*x480 - 115*x481 =E= 0;

e112.. x461*x132 - x462*x150 - x463*x156 - x464*x162 - x465*x168 - x466*x174 - 
       x467*x180 - x468*x186 - x469*x192 - x470*x198 - x471*x204 - x472*x210 - 
       x473*x216 - x474*x222 - x475*x228 - 3*x13 - 5*x33 - 4*x53 - 410*x476
        - 198*x477 - 767*x478 - 1000*x479 - 678*x480 - 170*x481 =E= 0;

e113.. x461*x133 - x462*x151 - x463*x157 - x464*x163 - x465*x169 - x466*x175 - 
       x467*x181 - x468*x187 - x469*x193 - x470*x199 - x471*x205 - x472*x211 - 
       x473*x217 - x474*x223 - x475*x229 - 150*x476 - 1000*x477 - 700*x478
        - 800*x479 - 50*x480 - 75*x481 =E= 0;

e114.. x482*x134 - x483*x146 - x484*x152 - x485*x158 - x486*x164 - x487*x170 - 
       x488*x176 - x489*x182 - x490*x188 - x491*x194 - x492*x200 - x493*x206 - 
       x494*x212 - x495*x218 - x496*x224 - 3*x14 - 4*x54 - 68*x497 - 170*x498
        - 342*x499 - 320*x500 - 1000*x501 - 120*x502 =E= 0;

e115.. x482*x135 - x483*x147 - x484*x153 - x485*x159 - x486*x165 - x487*x171 - 
       x488*x177 - x489*x183 - x490*x189 - x491*x195 - x492*x201 - x493*x207 - 
       x494*x213 - x495*x219 - x496*x225 - 5*x14 - 3*x34 - x54 - 90*x497
        - 130*x498 - 720*x499 - 60*x500 - 110*x501 - 150*x502 =E= 0;

e116.. x482*x136 - x483*x148 - x484*x154 - x485*x160 - x486*x166 - x487*x172 - 
       x488*x178 - x489*x184 - x490*x190 - x491*x196 - x492*x202 - x493*x208 - 
       x494*x214 - x495*x220 - x496*x226 - 2*x34 - 2*x54 - 230*x497 - 100*x498
        - 400*x499 - 100*x500 - 360*x501 - 400*x502 =E= 0;

e117.. x482*x137 - x483*x149 - x484*x155 - x485*x161 - x486*x167 - x487*x173 - 
       x488*x179 - x489*x185 - x490*x191 - x491*x197 - x492*x203 - x493*x209 - 
       x494*x215 - x495*x221 - x496*x227 - 8*x14 - 7*x34 - 3*x54 - 33*x497
        - 22234*x498 - 40*x499 - 55*x500 - 60*x501 - 115*x502 =E= 0;

e118.. x482*x138 - x483*x150 - x484*x156 - x485*x162 - x486*x168 - x487*x174 - 
       x488*x180 - x489*x186 - x490*x192 - x491*x198 - x492*x204 - x493*x210 - 
       x494*x216 - x495*x222 - x496*x228 - 3*x14 - 5*x34 - 4*x54 - 410*x497
        - 198*x498 - 767*x499 - 1000*x500 - 678*x501 - 170*x502 =E= 0;

e119.. x482*x139 - x483*x151 - x484*x157 - x485*x163 - x486*x169 - x487*x175 - 
       x488*x181 - x489*x187 - x490*x193 - x491*x199 - x492*x205 - x493*x211 - 
       x494*x217 - x495*x223 - x496*x229 - 150*x497 - 1000*x498 - 700*x499
        - 800*x500 - 50*x501 - 75*x502 =E= 0;

e120.. x503*x140 - x504*x146 - x505*x152 - x506*x158 - x507*x164 - x508*x170 - 
       x509*x176 - x510*x182 - x511*x188 - x512*x194 - x513*x200 - x514*x206 - 
       x515*x212 - x516*x218 - x517*x224 - 3*x15 - 4*x55 - 68*x518 - 170*x519
        - 342*x520 - 320*x521 - 1000*x522 - 120*x523 =E= 0;

e121.. x503*x141 - x504*x147 - x505*x153 - x506*x159 - x507*x165 - x508*x171 - 
       x509*x177 - x510*x183 - x511*x189 - x512*x195 - x513*x201 - x514*x207 - 
       x515*x213 - x516*x219 - x517*x225 - 5*x15 - 3*x35 - x55 - 90*x518
        - 130*x519 - 720*x520 - 60*x521 - 110*x522 - 150*x523 =E= 0;

e122.. x503*x142 - x504*x148 - x505*x154 - x506*x160 - x507*x166 - x508*x172 - 
       x509*x178 - x510*x184 - x511*x190 - x512*x196 - x513*x202 - x514*x208 - 
       x515*x214 - x516*x220 - x517*x226 - 2*x35 - 2*x55 - 230*x518 - 100*x519
        - 400*x520 - 100*x521 - 360*x522 - 400*x523 =E= 0;

e123.. x503*x143 - x504*x149 - x505*x155 - x506*x161 - x507*x167 - x508*x173 - 
       x509*x179 - x510*x185 - x511*x191 - x512*x197 - x513*x203 - x514*x209 - 
       x515*x215 - x516*x221 - x517*x227 - 8*x15 - 7*x35 - 3*x55 - 33*x518
        - 22234*x519 - 40*x520 - 55*x521 - 60*x522 - 115*x523 =E= 0;

e124.. x503*x144 - x504*x150 - x505*x156 - x506*x162 - x507*x168 - x508*x174 - 
       x509*x180 - x510*x186 - x511*x192 - x512*x198 - x513*x204 - x514*x210 - 
       x515*x216 - x516*x222 - x517*x228 - 3*x15 - 5*x35 - 4*x55 - 410*x518
        - 198*x519 - 767*x520 - 1000*x521 - 678*x522 - 170*x523 =E= 0;

e125.. x503*x145 - x504*x151 - x505*x157 - x506*x163 - x507*x169 - x508*x175 - 
       x509*x181 - x510*x187 - x511*x193 - x512*x199 - x513*x205 - x514*x211 - 
       x515*x217 - x516*x223 - x517*x229 - 150*x518 - 1000*x519 - 700*x520
        - 800*x521 - 50*x522 - 75*x523 =E= 0;

e126.. (-x524*x146) - x525*x152 - x526*x158 - x527*x164 - x528*x170 - x529*x176
        - x530*x182 - x531*x188 - x532*x194 - x533*x200 - x534*x206 - x535*x212
        - x536*x218 - x537*x224 - 3*x16 - 4*x56 - 68*x538 - 170*x539 - 342*x540
        - 320*x541 - 1000*x542 - 120*x543 =G= -4500;

e127.. (-x524*x147) - x525*x153 - x526*x159 - x527*x165 - x528*x171 - x529*x177
        - x530*x183 - x531*x189 - x532*x195 - x533*x201 - x534*x207 - x535*x213
        - x536*x219 - x537*x225 - 5*x16 - 3*x36 - x56 - 90*x538 - 130*x539
        - 720*x540 - 60*x541 - 110*x542 - 150*x543 =G= -5200;

e128.. (-x524*x148) - x525*x154 - x526*x160 - x527*x166 - x528*x172 - x529*x178
        - x530*x184 - x531*x190 - x532*x196 - x533*x202 - x534*x208 - x535*x214
        - x536*x220 - x537*x226 - 2*x36 - 2*x56 - 230*x538 - 100*x539
        - 400*x540 - 100*x541 - 360*x542 - 400*x543 =G= -18900;

e129.. (-x524*x149) - x525*x155 - x526*x161 - x527*x167 - x528*x173 - x529*x179
        - x530*x185 - x531*x191 - x532*x197 - x533*x203 - x534*x209 - x535*x215
        - x536*x221 - x537*x227 - 8*x16 - 7*x36 - 3*x56 - 33*x538 - 22234*x539
        - 40*x540 - 55*x541 - 60*x542 - 115*x543 =G= -3300;

e130.. (-x524*x150) - x525*x156 - x526*x162 - x527*x168 - x528*x174 - x529*x180
        - x530*x186 - x531*x192 - x532*x198 - x533*x204 - x534*x210 - x535*x216
        - x536*x222 - x537*x228 - 3*x16 - 5*x36 - 4*x56 - 410*x538 - 198*x539
        - 767*x540 - 1000*x541 - 678*x542 - 170*x543 =G= -21000;

e131.. (-x524*x151) - x525*x157 - x526*x163 - x527*x169 - x528*x175 - x529*x181
        - x530*x187 - x531*x193 - x532*x199 - x533*x205 - x534*x211 - x535*x217
        - x536*x223 - x537*x229 - 150*x538 - 1000*x539 - 700*x540 - 800*x541
        - 50*x542 - 75*x543 =G= -2400;

e132.. (-x544*x146) - x545*x152 - x546*x158 - x547*x164 - x548*x170 - x549*x176
        - x550*x182 - x551*x188 - x552*x194 - x553*x200 - x554*x206 - x555*x212
        - x556*x218 - x557*x224 - 3*x17 - 4*x57 - 68*x558 - 170*x559 - 342*x560
        - 320*x561 - 1000*x562 - 120*x563 =G= -22200;

e133.. (-x544*x147) - x545*x153 - x546*x159 - x547*x165 - x548*x171 - x549*x177
        - x550*x183 - x551*x189 - x552*x195 - x553*x201 - x554*x207 - x555*x213
        - x556*x219 - x557*x225 - 5*x17 - 3*x37 - x57 - 90*x558 - 130*x559
        - 720*x560 - 60*x561 - 110*x562 - 150*x563 =G= -5550;

e134.. (-x544*x148) - x545*x154 - x546*x160 - x547*x166 - x548*x172 - x549*x178
        - x550*x184 - x551*x190 - x552*x196 - x553*x202 - x554*x208 - x555*x214
        - x556*x220 - x557*x226 - 2*x37 - 2*x57 - 230*x558 - 100*x559
        - 400*x560 - 100*x561 - 360*x562 - 400*x563 =G= -5550;

e135.. (-x544*x149) - x545*x155 - x546*x161 - x547*x167 - x548*x173 - x549*x179
        - x550*x185 - x551*x191 - x552*x197 - x553*x203 - x554*x209 - x555*x215
        - x556*x221 - x557*x227 - 8*x17 - 7*x37 - 3*x57 - 33*x558 - 22234*x559
        - 40*x560 - 55*x561 - 60*x562 - 115*x563 =G= -2263290;

e136.. (-x544*x150) - x545*x156 - x546*x162 - x547*x168 - x548*x174 - x549*x180
        - x550*x186 - x551*x192 - x552*x198 - x553*x204 - x554*x210 - x555*x216
        - x556*x222 - x557*x228 - 3*x17 - 5*x37 - 4*x57 - 410*x558 - 198*x559
        - 767*x560 - 1000*x561 - 678*x562 - 170*x563 =G= -18130;

e137.. (-x544*x151) - x545*x157 - x546*x163 - x547*x169 - x548*x175 - x549*x181
        - x550*x187 - x551*x193 - x552*x199 - x553*x205 - x554*x211 - x555*x217
        - x556*x223 - x557*x229 - 150*x558 - 1000*x559 - 700*x560 - 800*x561
        - 50*x562 - 75*x563 =G= -121360;

e138.. (-x564*x146) - x565*x152 - x566*x158 - x567*x164 - x568*x170 - x569*x176
        - x570*x182 - x571*x188 - x572*x194 - x573*x200 - x574*x206 - x575*x212
        - x576*x218 - x577*x224 - 3*x18 - 4*x58 - 68*x578 - 170*x579 - 342*x580
        - 320*x581 - 1000*x582 - 120*x583 =G= -13490;

e139.. (-x564*x147) - x565*x153 - x566*x159 - x567*x165 - x568*x171 - x569*x177
        - x570*x183 - x571*x189 - x572*x195 - x573*x201 - x574*x207 - x575*x213
        - x576*x219 - x577*x225 - 5*x18 - 3*x38 - x58 - 90*x578 - 130*x579
        - 720*x580 - 60*x581 - 110*x582 - 150*x583 =G= -39900;

e140.. (-x564*x148) - x565*x154 - x566*x160 - x567*x166 - x568*x172 - x569*x178
        - x570*x184 - x571*x190 - x572*x196 - x573*x202 - x574*x208 - x575*x214
        - x576*x220 - x577*x226 - 2*x38 - 2*x58 - 230*x578 - 100*x579
        - 400*x580 - 100*x581 - 360*x582 - 400*x583 =G= -19000;

e141.. (-x564*x149) - x565*x155 - x566*x161 - x567*x167 - x568*x173 - x569*x179
        - x570*x185 - x571*x191 - x572*x197 - x573*x203 - x574*x209 - x575*x215
        - x576*x221 - x577*x227 - 8*x18 - 7*x38 - 3*x58 - 33*x578 - 22234*x579
        - 40*x580 - 55*x581 - 60*x582 - 115*x583 =G= -1235;

e142.. (-x564*x150) - x565*x156 - x566*x162 - x567*x168 - x568*x174 - x569*x180
        - x570*x186 - x571*x192 - x572*x198 - x573*x204 - x574*x210 - x575*x216
        - x576*x222 - x577*x228 - 3*x18 - 5*x38 - 4*x58 - 410*x578 - 198*x579
        - 767*x580 - 1000*x581 - 678*x582 - 170*x583 =G= -60515;

e143.. (-x564*x151) - x565*x157 - x566*x163 - x567*x169 - x568*x175 - x569*x181
        - x570*x187 - x571*x193 - x572*x199 - x573*x205 - x574*x211 - x575*x217
        - x576*x223 - x577*x229 - 150*x578 - 1000*x579 - 700*x580 - 800*x581
        - 50*x582 - 75*x583 =G= -2280;

e144.. (-x584*x146) - x585*x152 - x586*x158 - x587*x164 - x588*x170 - x589*x176
        - x590*x182 - x591*x188 - x592*x194 - x593*x200 - x594*x206 - x595*x212
        - x596*x218 - x597*x224 - 3*x19 - 4*x59 - 68*x598 - 170*x599 - 342*x600
        - 320*x601 - 1000*x602 - 120*x603 =G= -2000;

e145.. (-x584*x147) - x585*x153 - x586*x159 - x587*x165 - x588*x171 - x589*x177
        - x590*x183 - x591*x189 - x592*x195 - x593*x201 - x594*x207 - x595*x213
        - x596*x219 - x597*x225 - 5*x19 - 3*x39 - x59 - 90*x598 - 130*x599
        - 720*x600 - 60*x601 - 110*x602 - 150*x603 =G= -2500;

e146.. (-x584*x148) - x585*x154 - x586*x160 - x587*x166 - x588*x172 - x589*x178
        - x590*x184 - x591*x190 - x592*x196 - x593*x202 - x594*x208 - x595*x214
        - x596*x220 - x597*x226 - 2*x39 - 2*x59 - 230*x598 - 100*x599
        - 400*x600 - 100*x601 - 360*x602 - 400*x603 =G= -1500;

e147.. (-x584*x149) - x585*x155 - x586*x161 - x587*x167 - x588*x173 - x589*x179
        - x590*x185 - x591*x191 - x592*x197 - x593*x203 - x594*x209 - x595*x215
        - x596*x221 - x597*x227 - 8*x19 - 7*x39 - 3*x59 - 33*x598 - 22234*x599
        - 40*x600 - 55*x601 - 60*x602 - 115*x603 =G= -2500;

e148.. (-x584*x150) - x585*x156 - x586*x162 - x587*x168 - x588*x174 - x589*x180
        - x590*x186 - x591*x192 - x592*x198 - x593*x204 - x594*x210 - x595*x216
        - x596*x222 - x597*x228 - 3*x19 - 5*x39 - 4*x59 - 410*x598 - 198*x599
        - 767*x600 - 1000*x601 - 678*x602 - 170*x603 =G= -45400;

e149.. (-x584*x151) - x585*x157 - x586*x163 - x587*x169 - x588*x175 - x589*x181
        - x590*x187 - x591*x193 - x592*x199 - x593*x205 - x594*x211 - x595*x217
        - x596*x223 - x597*x229 - 150*x598 - 1000*x599 - 700*x600 - 800*x601
        - 50*x602 - 75*x603 =G= -25600;

e150.. (-x604*x146) - x605*x152 - x606*x158 - x607*x164 - x608*x170 - x609*x176
        - x610*x182 - x611*x188 - x612*x194 - x613*x200 - x614*x206 - x615*x212
        - x616*x218 - x617*x224 - 3*x20 - 4*x60 - 68*x618 - 170*x619 - 342*x620
        - 320*x621 - 1000*x622 - 120*x623 =G= -26250;

e151.. (-x604*x147) - x605*x153 - x606*x159 - x607*x165 - x608*x171 - x609*x177
        - x610*x183 - x611*x189 - x612*x195 - x613*x201 - x614*x207 - x615*x213
        - x616*x219 - x617*x225 - 5*x20 - 3*x40 - x60 - 90*x618 - 130*x619
        - 720*x620 - 60*x621 - 110*x622 - 150*x623 =G= -3600;

e152.. (-x604*x148) - x605*x154 - x606*x160 - x607*x166 - x608*x172 - x609*x178
        - x610*x184 - x611*x190 - x612*x196 - x613*x202 - x614*x208 - x615*x214
        - x616*x220 - x617*x226 - 2*x40 - 2*x60 - 230*x618 - 100*x619
        - 400*x620 - 100*x621 - 360*x622 - 400*x623 =G= -19500;

e153.. (-x604*x149) - x605*x155 - x606*x161 - x607*x167 - x608*x173 - x609*x179
        - x610*x185 - x611*x191 - x612*x197 - x613*x203 - x614*x209 - x615*x215
        - x616*x221 - x617*x227 - 8*x20 - 7*x40 - 3*x60 - 33*x618 - 22234*x619
        - 40*x620 - 55*x621 - 60*x622 - 115*x623 =G= -1575;

e154.. (-x604*x150) - x605*x156 - x606*x162 - x607*x168 - x608*x174 - x609*x180
        - x610*x186 - x611*x192 - x612*x198 - x613*x204 - x614*x210 - x615*x216
        - x616*x222 - x617*x228 - 3*x20 - 5*x40 - 4*x60 - 410*x618 - 198*x619
        - 767*x620 - 1000*x621 - 678*x622 - 170*x623 =G= -20850;

e155.. (-x604*x151) - x605*x157 - x606*x163 - x607*x169 - x608*x175 - x609*x181
        - x610*x187 - x611*x193 - x612*x199 - x613*x205 - x614*x211 - x615*x217
        - x616*x223 - x617*x229 - 150*x618 - 1000*x619 - 700*x620 - 800*x621
        - 50*x622 - 75*x623 =G= -900;

e156.. (-x624*x146) - x625*x152 - x626*x158 - x627*x164 - x628*x170 - x629*x176
        - x630*x182 - x631*x188 - x632*x194 - x633*x200 - x634*x206 - x635*x212
        - x636*x218 - x637*x224 - 3*x21 - 4*x61 - 68*x638 - 170*x639 - 342*x640
        - 320*x641 - 1000*x642 - 120*x643 =G= -1600;

e157.. (-x624*x147) - x625*x153 - x626*x159 - x627*x165 - x628*x171 - x629*x177
        - x630*x183 - x631*x189 - x632*x195 - x633*x201 - x634*x207 - x635*x213
        - x636*x219 - x637*x225 - 5*x21 - 3*x41 - x61 - 90*x638 - 130*x639
        - 720*x640 - 60*x641 - 110*x642 - 150*x643 =G= -4000;

e158.. (-x624*x148) - x625*x154 - x626*x160 - x627*x166 - x628*x172 - x629*x178
        - x630*x184 - x631*x190 - x632*x196 - x633*x202 - x634*x208 - x635*x214
        - x636*x220 - x637*x226 - 2*x41 - 2*x61 - 230*x638 - 100*x639
        - 400*x640 - 100*x641 - 360*x642 - 400*x643 =G= -8000;

e159.. (-x624*x149) - x625*x155 - x626*x161 - x627*x167 - x628*x173 - x629*x179
        - x630*x185 - x631*x191 - x632*x197 - x633*x203 - x634*x209 - x635*x215
        - x636*x221 - x637*x227 - 8*x21 - 7*x41 - 3*x61 - 33*x638 - 22234*x639
        - 40*x640 - 55*x641 - 60*x642 - 115*x643 =G= -2400;

e160.. (-x624*x150) - x625*x156 - x626*x162 - x627*x168 - x628*x174 - x629*x180
        - x630*x186 - x631*x192 - x632*x198 - x633*x204 - x634*x210 - x635*x216
        - x636*x222 - x637*x228 - 3*x21 - 5*x41 - 4*x61 - 410*x638 - 198*x639
        - 767*x640 - 1000*x641 - 678*x642 - 170*x643 =G= -5600;

e161.. (-x624*x151) - x625*x157 - x626*x163 - x627*x169 - x628*x175 - x629*x181
        - x630*x187 - x631*x193 - x632*x199 - x633*x205 - x634*x211 - x635*x217
        - x636*x223 - x637*x229 - 150*x638 - 1000*x639 - 700*x640 - 800*x641
        - 50*x642 - 75*x643 =G= -1600;

e162.. x230*x62 - x230*x146 =E= -12596;

e163.. x230*x63 - x230*x147 =E= -46632;

e164.. x230*x64 - x230*x148 =E= -32964;

e165.. x230*x65 - x230*x149 =E= -536;

e166.. x230*x66 - x230*x150 =E= -22512;

e167.. x230*x67 - x230*x151 =E= -13400;

e168.. x251*x68 - x251*x152 =E= -9250;

e169.. x251*x69 - x251*x153 =E= -7030;

e170.. x251*x70 - x251*x154 =E= -4070;

e171.. x251*x71 - x251*x155 =E= -184556;

e172.. x251*x72 - x251*x156 =E= -1924;

e173.. x251*x73 - x251*x157 =E= -7252;

e174.. x272*x74 - x272*x158 =E= -2080;

e175.. x272*x75 - x272*x159 =E= -1014;

e176.. x272*x76 - x272*x160 =E= -9542;

e177.. x272*x77 - x272*x161 =E= -1118;

e178.. x272*x78 - x272*x162 =E= -3406;

e179.. x272*x79 - x272*x163 =E= -884;

e180.. x293*x80 - x293*x164 =E= -2376;

e181.. x293*x81 - x293*x165 =E= -30096;

e182.. x293*x82 - x293*x166 =E= -26840;

e183.. x293*x83 - x293*x167 =E= -35904;

e184.. x293*x84 - x293*x168 =E= -11880;

e185.. x293*x85 - x293*x169 =E= -18568;

e186.. x314*x86 - x314*x170 =E= -50000;

e187.. x314*x87 - x314*x171 =E= -351200;

e188.. x314*x88 - x314*x172 =E= -14000;

e189.. x314*x89 - x314*x173 =E= -3500;

e190.. x314*x90 - x314*x174 =E= -15800;

e191.. x314*x91 - x314*x175 =E= -7800;

e192.. x335*x92 - x335*x176 =E= -4400;

e193.. x335*x93 - x335*x177 =E= -5500;

e194.. x335*x94 - x335*x178 =E= -8250;

e195.. x335*x95 - x335*x179 =E= -3300;

e196.. x335*x96 - x335*x180 =E= -4400;

e197.. x335*x97 - x335*x181 =E= -3300;

e198.. x356*x98 - x356*x182 =E= -1150;

e199.. x356*x99 - x356*x183 =E= -1900;

e200.. x356*x100 - x356*x184 =E= -2050;

e201.. x356*x102 - x356*x186 =E= -10000;

e202.. x356*x103 - x356*x187 =E= -6300;

e203.. x377*x104 - x377*x188 =E= -1300;

e204.. x377*x105 - x377*x189 =E= -2600;

e205.. x377*x106 - x377*x190 =E= -1820;

e206.. x377*x107 - x377*x191 =E= -260000;

e207.. x377*x108 - x377*x192 =E= -2600;

e208.. x377*x109 - x377*x193 =E= -8944;

e209.. x398*x110 - x398*x194 =E= -19600;

e210.. x398*x111 - x398*x195 =E= -29400;

e211.. x398*x112 - x398*x196 =E= -19600;

e212.. x398*x113 - x398*x197 =E= -2646;

e213.. x398*x114 - x398*x198 =E= -12740;

e214.. x398*x115 - x398*x199 =E= -66248;

e215.. x419*x116 - x419*x200 =E= -34500;

e216.. x419*x117 - x419*x201 =E= -4025;

e217.. x419*x118 - x419*x202 =E= -9775;

e218.. x419*x119 - x419*x203 =E= -3450;

e219.. x419*x120 - x419*x204 =E= -62790;

e220.. x419*x121 - x419*x205 =E= -62560;

e221.. x440*x122 - x440*x206 =E= -55250;

e222.. x440*x123 - x440*x207 =E= -5270;

e223.. x440*x124 - x440*x208 =E= -8500;

e224.. x440*x125 - x440*x209 =E= -3315;

e225.. x440*x126 - x440*x210 =E= -34000;

e226.. x440*x127 - x440*x211 =E= -3230;

e227.. x461*x128 - x461*x212 =E= -9500;

e228.. x461*x129 - x461*x213 =E= -9500;

e229.. x461*x130 - x461*x214 =E= -28500;

e230.. x461*x131 - x461*x215 =E= -8075;

e231.. x461*x132 - x461*x216 =E= -9500;

e232.. x461*x133 - x461*x217 =E= -5225;

e233.. x482*x134 - x482*x218 =E= -50000;

e234.. x482*x135 - x482*x219 =E= -351200;

e235.. x482*x136 - x482*x220 =E= -14000;

e236.. x482*x137 - x482*x221 =E= -3500;

e237.. x482*x138 - x482*x222 =E= -15800;

e238.. x482*x139 - x482*x223 =E= -7800;

e239.. x503*x140 - x503*x224 =E= -3600;

e240.. x503*x141 - x503*x225 =E= -4500;

e241.. x503*x142 - x503*x226 =E= -6750;

e242.. x503*x143 - x503*x227 =E= -2700;

e243.. x503*x144 - x503*x228 =E= -3600;

e244.. x503*x145 - x503*x229 =E= -2700;

e245.. x356*x101 - x356*x185 =E= 0;

* 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 = 45;
x63.up = 52;
x64.up = 189;
x65.up = 33;
x66.up = 210;
x67.up = 24;
x68.up = 120;
x69.up = 30;
x70.up = 30;
x71.up = 12234;
x72.up = 98;
x73.up = 656;
x74.up = 142;
x75.up = 420;
x76.up = 200;
x77.up = 13;
x78.up = 637;
x79.up = 24;
x80.up = 20;
x81.up = 25;
x82.up = 15;
x83.up = 25;
x84.up = 454;
x85.up = 256;
x86.up = 350;
x87.up = 48;
x88.up = 260;
x89.up = 21;
x90.up = 278;
x91.up = 12;
x92.up = 20;
x93.up = 50;
x94.up = 100;
x95.up = 30;
x96.up = 70;
x97.up = 20;
x98.up = 45;
x99.up = 52;
x100.up = 189;
x101.up = 33;
x102.up = 210;
x103.up = 24;
x104.up = 120;
x105.up = 30;
x106.up = 30;
x107.up = 12234;
x108.up = 98;
x109.up = 656;
x110.up = 142;
x111.up = 420;
x112.up = 200;
x113.up = 13;
x114.up = 637;
x115.up = 24;
x116.up = 20;
x117.up = 25;
x118.up = 15;
x119.up = 25;
x120.up = 454;
x121.up = 256;
x122.up = 350;
x123.up = 48;
x124.up = 260;
x125.up = 21;
x126.up = 278;
x127.up = 12;
x128.up = 20;
x129.up = 50;
x130.up = 100;
x131.up = 30;
x132.up = 70;
x133.up = 20;
x134.up = 350;
x135.up = 48;
x136.up = 260;
x137.up = 21;
x138.up = 278;
x139.up = 12;
x140.up = 20;
x141.up = 50;
x142.up = 100;
x143.up = 30;
x144.up = 70;
x145.up = 20;
x146.up = 139;
x147.up = 400;
x148.up = 435;
x149.up = 37;
x150.up = 378;
x151.up = 124;
x152.up = 245;
x153.up = 125;
x154.up = 85;
x155.up = 14728;
x156.up = 124;
x157.up = 754;
x158.up = 222;
x159.up = 459;
x160.up = 567;
x161.up = 56;
x162.up = 768;
x163.up = 58;
x164.up = 47;
x165.up = 367;
x166.up = 320;
x167.up = 433;
x168.up = 589;
x169.up = 467;
x170.up = 850;
x171.up = 3560;
x172.up = 400;
x173.up = 56;
x174.up = 436;
x175.up = 90;
x176.up = 100;
x177.up = 150;
x178.up = 250;
x179.up = 90;
x180.up = 150;
x181.up = 80;
x182.up = 68;
x183.up = 90;
x184.up = 230;
x185.up = 33;
x186.up = 410;
x187.up = 150;
x188.up = 170;
x189.up = 130;
x190.up = 100;
x191.up = 22234;
x192.up = 198;
x193.up = 1000;
x194.up = 342;
x195.up = 720;
x196.up = 400;
x197.up = 40;
x198.up = 767;
x199.up = 700;
x200.up = 320;
x201.up = 60;
x202.up = 100;
x203.up = 55;
x204.up = 1000;
x205.up = 800;
x206.up = 1000;
x207.up = 110;
x208.up = 360;
x209.up = 60;
x210.up = 678;
x211.up = 50;
x212.up = 120;
x213.up = 150;
x214.up = 400;
x215.up = 115;
x216.up = 170;
x217.up = 75;
x218.up = 850;
x219.up = 3560;
x220.up = 400;
x221.up = 56;
x222.up = 436;
x223.up = 90;
x224.up = 100;
x225.up = 150;
x226.up = 250;
x227.up = 90;
x228.up = 150;
x229.up = 80;
x230.up = 134;
x231.up = 100000;
x232.up = 100000;
x233.up = 100000;
x234.up = 100000;
x235.up = 100000;
x236.up = 100000;
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 = 74;
x252.up = 100000;
x253.up = 100000;
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 = 100000;
x271.up = 100000;
x272.up = 26;
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 = 100000;
x288.up = 100000;
x289.up = 100000;
x290.up = 100000;
x291.up = 100000;
x292.up = 100000;
x293.up = 88;
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 = 100000;
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 = 100;
x315.up = 100000;
x316.up = 100000;
x317.up = 100000;
x318.up = 100000;
x319.up = 100000;
x320.up = 100000;
x321.up = 100000;
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 = 55;
x336.up = 100000;
x337.up = 100000;
x338.up = 100000;
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 = 100000;
x356.up = 50;
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 = 100000;
x373.up = 100000;
x374.up = 100000;
x375.up = 100000;
x376.up = 100000;
x377.up = 26;
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 = 100000;
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 = 98;
x399.up = 100000;
x400.up = 100000;
x401.up = 100000;
x402.up = 100000;
x403.up = 100000;
x404.up = 100000;
x405.up = 100000;
x406.up = 100000;
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 = 115;
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 = 85;
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 = 95;
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 = 100;
x483.up = 100000;
x484.up = 100000;
x485.up = 100000;
x486.up = 100000;
x487.up = 100000;
x488.up = 100000;
x489.up = 100000;
x490.up = 100000;
x491.up = 100000;
x492.up = 100000;
x493.up = 100000;
x494.up = 100000;
x495.up = 100000;
x496.up = 100000;
x497.up = 100000;
x498.up = 100000;
x499.up = 100000;
x500.up = 100000;
x501.up = 100000;
x502.up = 100000;
x503.up = 45;
x504.up = 100000;
x505.up = 100000;
x506.up = 100000;
x507.up = 100000;
x508.up = 100000;
x509.up = 100000;
x510.up = 100000;
x511.up = 100000;
x512.up = 100000;
x513.up = 100000;
x514.up = 100000;
x515.up = 100000;
x516.up = 100000;
x517.up = 100000;
x518.up = 100000;
x519.up = 100000;
x520.up = 100000;
x521.up = 100000;
x522.up = 100000;
x523.up = 100000;
x524.up = 100000;
x525.up = 100000;
x526.up = 100000;
x527.up = 100000;
x528.up = 100000;
x529.up = 100000;
x530.up = 100000;
x531.up = 100000;
x532.up = 100000;
x533.up = 100000;
x534.up = 100000;
x535.up = 100000;
x536.up = 100000;
x537.up = 100000;
x538.up = 100000;
x539.up = 100000;
x540.up = 100000;
x541.up = 100000;
x542.up = 100000;
x543.up = 100000;
x544.up = 100000;
x545.up = 100000;
x546.up = 100000;
x547.up = 100000;
x548.up = 100000;
x549.up = 100000;
x550.up = 100000;
x551.up = 100000;
x552.up = 100000;
x553.up = 100000;
x554.up = 100000;
x555.up = 100000;
x556.up = 100000;
x557.up = 100000;
x558.up = 100000;
x559.up = 100000;
x560.up = 100000;
x561.up = 100000;
x562.up = 100000;
x563.up = 100000;
x564.up = 100000;
x565.up = 100000;
x566.up = 100000;
x567.up = 100000;
x568.up = 100000;
x569.up = 100000;
x570.up = 100000;
x571.up = 100000;
x572.up = 100000;
x573.up = 100000;
x574.up = 100000;
x575.up = 100000;
x576.up = 100000;
x577.up = 100000;
x578.up = 100000;
x579.up = 100000;
x580.up = 100000;
x581.up = 100000;
x582.up = 100000;
x583.up = 100000;
x584.up = 100000;
x585.up = 100000;
x586.up = 100000;
x587.up = 100000;
x588.up = 100000;
x589.up = 100000;
x590.up = 100000;
x591.up = 100000;
x592.up = 100000;
x593.up = 100000;
x594.up = 100000;
x595.up = 100000;
x596.up = 100000;
x597.up = 100000;
x598.up = 100000;
x599.up = 100000;
x600.up = 100000;
x601.up = 100000;
x602.up = 100000;
x603.up = 100000;
x604.up = 100000;
x605.up = 100000;
x606.up = 100000;
x607.up = 100000;
x608.up = 100000;
x609.up = 100000;
x610.up = 100000;
x611.up = 100000;
x612.up = 100000;
x613.up = 100000;
x614.up = 100000;
x615.up = 100000;
x616.up = 100000;
x617.up = 100000;
x618.up = 100000;
x619.up = 100000;
x620.up = 100000;
x621.up = 100000;
x622.up = 100000;
x623.up = 100000;
x624.up = 100000;
x625.up = 100000;
x626.up = 100000;
x627.up = 100000;
x628.up = 100000;
x629.up = 100000;
x630.up = 100000;
x631.up = 100000;
x632.up = 100000;
x633.up = 100000;
x634.up = 100000;
x635.up = 100000;
x636.up = 100000;
x637.up = 100000;
x638.up = 100000;
x639.up = 100000;
x640.up = 100000;
x641.up = 100000;
x642.up = 100000;
x643.up = 100000;
x644.up = 100000;
x645.up = 100000;
x646.up = 100000;
x647.up = 100000;
x648.up = 100000;
x649.up = 100000;
x650.up = 100000;
x651.up = 100000;
x652.up = 100000;
x653.up = 100000;
x654.up = 100000;
x655.up = 100000;
x656.up = 100000;
x657.up = 100000;
x658.up = 100000;
x659.up = 100000;
x660.up = 100000;
x661.up = 100000;
x662.up = 100000;
x663.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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