QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3170

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 638.71675310 (gdx, sol)
Solution point infeasibility solinfeasibility 2.9104e-11
Donor donor Ruth Misener
#Variables nvars 660
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 580
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 580
#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 200
#Linear Constraints nlincons 40
#Quadratic Constraints nquadcons 160
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 160
#Nonzeros in Jacobian njacobiannz 4760
#Nonlinear Nonzeros in Jacobian njacobiannlnz 3600
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 3520
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 20
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 29
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 29
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 29.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3170.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        201      201        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        661      661        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4821     1221     3600        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;

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;

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;


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 + x222 - x223 - x224 - x225 - x226 - x227 - x228 - x229
      - x230 - x231 - x232 - x233 - x234 - x235 - x236 - x237 - x238 - x239
      - x240 - x241 - x242 =E= 0;

e3..  - x3 - x23 - x43 + x243 - x244 - x245 - x246 - x247 - x248 - x249 - x250
      - x251 - x252 - x253 - x254 - x255 - x256 - x257 - x258 - x259 - x260
      - x261 - x262 - x263 =E= 0;

e4..  - x4 - x24 - x44 + x264 - x265 - x266 - x267 - x268 - x269 - x270 - x271
      - x272 - x273 - x274 - x275 - x276 - x277 - x278 - x279 - x280 - x281
      - x282 - x283 - x284 =E= 0;

e5..  - x5 - x25 - x45 + x285 - x286 - x287 - x288 - x289 - x290 - x291 - x292
      - x293 - x294 - x295 - x296 - x297 - x298 - x299 - x300 - x301 - x302
      - x303 - x304 - x305 =E= 0;

e6..  - x6 - x26 - x46 + x306 - x307 - x308 - x309 - x310 - x311 - x312 - x313
      - x314 - x315 - x316 - x317 - x318 - x319 - x320 - x321 - x322 - x323
      - x324 - x325 - x326 =E= 0;

e7..  - x7 - x27 - x47 + x327 - x328 - x329 - x330 - x331 - x332 - x333 - x334
      - x335 - x336 - x337 - x338 - x339 - x340 - x341 - x342 - x343 - x344
      - x345 - x346 - x347 =E= 0;

e8..  - x8 - x28 - x48 + x348 - x349 - x350 - x351 - x352 - x353 - x354 - x355
      - x356 - x357 - x358 - x359 - x360 - x361 - x362 - x363 - x364 - x365
      - x366 - x367 - x368 =E= 0;

e9..  - x9 - x29 - x49 + x369 - x370 - x371 - x372 - x373 - x374 - x375 - x376
      - x377 - x378 - x379 - x380 - x381 - x382 - x383 - x384 - x385 - x386
      - x387 - x388 - x389 =E= 0;

e10..  - x10 - x30 - x50 + x390 - x391 - x392 - x393 - x394 - x395 - x396
       - x397 - x398 - x399 - x400 - x401 - x402 - x403 - x404 - x405 - x406
       - x407 - x408 - x409 - x410 =E= 0;

e11..  - x11 - x31 - x51 + x411 - x412 - x413 - x414 - x415 - x416 - x417
       - x418 - x419 - x420 - x421 - x422 - x423 - x424 - x425 - x426 - x427
       - x428 - x429 - x430 - x431 =E= 0;

e12..  - x12 - x32 - x52 + x432 - x433 - x434 - x435 - x436 - x437 - x438
       - x439 - x440 - x441 - x442 - x443 - x444 - x445 - x446 - x447 - x448
       - x449 - x450 - x451 - x452 =E= 0;

e13..  - x13 - x33 - x53 + x453 - x454 - x455 - x456 - x457 - x458 - x459
       - x460 - x461 - x462 - x463 - x464 - x465 - x466 - x467 - x468 - x469
       - x470 - x471 - x472 - x473 =E= 0;

e14..  - x14 - x34 - x54 + x474 - x475 - x476 - x477 - x478 - x479 - x480
       - x481 - x482 - x483 - x484 - x485 - x486 - x487 - x488 - x489 - x490
       - x491 - x492 - x493 - x494 =E= 0;

e15..  - x15 - x35 - x55 + x495 - x496 - x497 - x498 - x499 - x500 - x501
       - x502 - x503 - x504 - x505 - x506 - x507 - x508 - x509 - x510 - x511
       - x512 - x513 - x514 - x515 =E= 0;

e16..  - x16 - x36 - x56 + x516 - x517 - x518 - x519 - x520 - x521 - x522
       - x523 - x524 - x525 - x526 - x527 - x528 - x529 - x530 - x531 - x532
       - x533 - x534 - x535 - x536 =E= 0;

e17..  - x17 - x37 - x57 + x537 - x538 - x539 - x540 - x541 - x542 - x543
       - x544 - x545 - x546 - x547 - x548 - x549 - x550 - x551 - x552 - x553
       - x554 - x555 - x556 - x557 =E= 0;

e18..  - x18 - x38 - x58 + x558 - x559 - x560 - x561 - x562 - x563 - x564
       - x565 - x566 - x567 - x568 - x569 - x570 - x571 - x572 - x573 - x574
       - x575 - x576 - x577 - x578 =E= 0;

e19..  - x19 - x39 - x59 + x579 - x580 - x581 - x582 - x583 - x584 - x585
       - x586 - x587 - x588 - x589 - x590 - x591 - x592 - x593 - x594 - x595
       - x596 - x597 - x598 - x599 =E= 0;

e20..  - x20 - x40 - x60 + x600 - x601 - x602 - x603 - x604 - x605 - x606
       - x607 - x608 - x609 - x610 - x611 - x612 - x613 - x614 - x615 - x616
       - x617 - x618 - x619 - x620 =E= 0;

e21..  - x21 - x41 - x61 + x621 - x622 - x623 - x624 - x625 - x626 - x627
       - x628 - x629 - x630 - x631 - x632 - x633 - x634 - x635 - x636 - x637
       - x638 - x639 - x640 - x641 =E= 0;

e22..    x222 - x223 - x244 - x265 - x286 - x307 - x328 - x349 - x370 - x391
       - x412 - x433 - x454 - x475 - x496 - x517 - x538 - x559 - x580 - x601
       - x622 - x642 =E= 0;

e23..  - x224 + x243 - x245 - x266 - x287 - x308 - x329 - x350 - x371 - x392
       - x413 - x434 - x455 - x476 - x497 - x518 - x539 - x560 - x581 - x602
       - x623 - x643 =E= 0;

e24..  - x225 - x246 + x264 - x267 - x288 - x309 - x330 - x351 - x372 - x393
       - x414 - x435 - x456 - x477 - x498 - x519 - x540 - x561 - x582 - x603
       - x624 - x644 =E= 0;

e25..  - x226 - x247 - x268 + x285 - x289 - x310 - x331 - x352 - x373 - x394
       - x415 - x436 - x457 - x478 - x499 - x520 - x541 - x562 - x583 - x604
       - x625 - x645 =E= 0;

e26..  - x227 - x248 - x269 - x290 + x306 - x311 - x332 - x353 - x374 - x395
       - x416 - x437 - x458 - x479 - x500 - x521 - x542 - x563 - x584 - x605
       - x626 - x646 =E= 0;

e27..  - x228 - x249 - x270 - x291 - x312 + x327 - x333 - x354 - x375 - x396
       - x417 - x438 - x459 - x480 - x501 - x522 - x543 - x564 - x585 - x606
       - x627 - x647 =E= 0;

e28..  - x229 - x250 - x271 - x292 - x313 - x334 + x348 - x355 - x376 - x397
       - x418 - x439 - x460 - x481 - x502 - x523 - x544 - x565 - x586 - x607
       - x628 - x648 =E= 0;

e29..  - x230 - x251 - x272 - x293 - x314 - x335 - x356 + x369 - x377 - x398
       - x419 - x440 - x461 - x482 - x503 - x524 - x545 - x566 - x587 - x608
       - x629 - x649 =E= 0;

e30..  - x231 - x252 - x273 - x294 - x315 - x336 - x357 - x378 + x390 - x399
       - x420 - x441 - x462 - x483 - x504 - x525 - x546 - x567 - x588 - x609
       - x630 - x650 =E= 0;

e31..  - x232 - x253 - x274 - x295 - x316 - x337 - x358 - x379 - x400 + x411
       - x421 - x442 - x463 - x484 - x505 - x526 - x547 - x568 - x589 - x610
       - x631 - x651 =E= 0;

e32..  - x233 - x254 - x275 - x296 - x317 - x338 - x359 - x380 - x401 - x422
       + x432 - x443 - x464 - x485 - x506 - x527 - x548 - x569 - x590 - x611
       - x632 - x652 =E= 0;

e33..  - x234 - x255 - x276 - x297 - x318 - x339 - x360 - x381 - x402 - x423
       - x444 + x453 - x465 - x486 - x507 - x528 - x549 - x570 - x591 - x612
       - x633 - x653 =E= 0;

e34..  - x235 - x256 - x277 - x298 - x319 - x340 - x361 - x382 - x403 - x424
       - x445 - x466 + x474 - x487 - x508 - x529 - x550 - x571 - x592 - x613
       - x634 - x654 =E= 0;

e35..  - x236 - x257 - x278 - x299 - x320 - x341 - x362 - x383 - x404 - x425
       - x446 - x467 - x488 + x495 - x509 - x530 - x551 - x572 - x593 - x614
       - x635 - x655 =E= 0;

e36..  - x237 - x258 - x279 - x300 - x321 - x342 - x363 - x384 - x405 - x426
       - x447 - x468 - x489 - x510 + x516 - x531 - x552 - x573 - x594 - x615
       - x636 - x656 =E= 0;

e37..  - x238 - x259 - x280 - x301 - x322 - x343 - x364 - x385 - x406 - x427
       - x448 - x469 - x490 - x511 - x532 + x537 - x553 - x574 - x595 - x616
       - x637 - x657 =E= 0;

e38..  - x239 - x260 - x281 - x302 - x323 - x344 - x365 - x386 - x407 - x428
       - x449 - x470 - x491 - x512 - x533 - x554 + x558 - x575 - x596 - x617
       - x638 - x658 =E= 0;

e39..  - x240 - x261 - x282 - x303 - x324 - x345 - x366 - x387 - x408 - x429
       - x450 - x471 - x492 - x513 - x534 - x555 - x576 + x579 - x597 - x618
       - x639 - x659 =E= 0;

e40..  - x241 - x262 - x283 - x304 - x325 - x346 - x367 - x388 - x409 - x430
       - x451 - x472 - x493 - x514 - x535 - x556 - x577 - x598 + x600 - x619
       - x640 - x660 =E= 0;

e41..  - x242 - x263 - x284 - x305 - x326 - x347 - x368 - x389 - x410 - x431
       - x452 - x473 - x494 - x515 - x536 - x557 - x578 - x599 - x620 + x621
       - x641 - x661 =E= 0;

e42.. x222*x62 - x223*x142 - x224*x146 - x225*x150 - x226*x154 - x227*x158 - 
      x228*x162 - x229*x166 - x230*x170 - x231*x174 - x232*x178 - x233*x182 - 
      x234*x186 - x235*x190 - x236*x194 - x237*x198 - x238*x202 - x239*x206 - 
      x240*x210 - x241*x214 - x242*x218 - 2*x2 - 7*x22 - 7*x42 =E= 0;

e43.. x222*x63 - x223*x143 - x224*x147 - x225*x151 - x226*x155 - x227*x159 - 
      x228*x163 - x229*x167 - x230*x171 - x231*x175 - x232*x179 - x233*x183 - 
      x234*x187 - x235*x191 - x236*x195 - x237*x199 - x238*x203 - x239*x207 - 
      x240*x211 - x241*x215 - x242*x219 - 9*x2 - 6*x22 - 9*x42 =E= 0;

e44.. x222*x64 - x223*x144 - x224*x148 - x225*x152 - x226*x156 - x227*x160 - 
      x228*x164 - x229*x168 - x230*x172 - x231*x176 - x232*x180 - x233*x184 - 
      x234*x188 - x235*x192 - x236*x196 - x237*x200 - x238*x204 - x239*x208 - 
      x240*x212 - x241*x216 - x242*x220 - 8*x2 - 4*x22 - 7*x42 =E= 0;

e45.. x222*x65 - x223*x145 - x224*x149 - x225*x153 - x226*x157 - x227*x161 - 
      x228*x165 - x229*x169 - x230*x173 - x231*x177 - x232*x181 - x233*x185 - 
      x234*x189 - x235*x193 - x236*x197 - x237*x201 - x238*x205 - x239*x209 - 
      x240*x213 - x241*x217 - x242*x221 - x2 - 6*x22 - x42 =E= 0;

e46.. x243*x66 - x244*x142 - x245*x146 - x246*x150 - x247*x154 - x248*x158 - 
      x249*x162 - x250*x166 - x251*x170 - x252*x174 - x253*x178 - x254*x182 - 
      x255*x186 - x256*x190 - x257*x194 - x258*x198 - x259*x202 - x260*x206 - 
      x261*x210 - x262*x214 - x263*x218 - 2*x3 - 7*x23 - 7*x43 =E= 0;

e47.. x243*x67 - x244*x143 - x245*x147 - x246*x151 - x247*x155 - x248*x159 - 
      x249*x163 - x250*x167 - x251*x171 - x252*x175 - x253*x179 - x254*x183 - 
      x255*x187 - x256*x191 - x257*x195 - x258*x199 - x259*x203 - x260*x207 - 
      x261*x211 - x262*x215 - x263*x219 - 9*x3 - 6*x23 - 9*x43 =E= 0;

e48.. x243*x68 - x244*x144 - x245*x148 - x246*x152 - x247*x156 - x248*x160 - 
      x249*x164 - x250*x168 - x251*x172 - x252*x176 - x253*x180 - x254*x184 - 
      x255*x188 - x256*x192 - x257*x196 - x258*x200 - x259*x204 - x260*x208 - 
      x261*x212 - x262*x216 - x263*x220 - 8*x3 - 4*x23 - 7*x43 =E= 0;

e49.. x243*x69 - x244*x145 - x245*x149 - x246*x153 - x247*x157 - x248*x161 - 
      x249*x165 - x250*x169 - x251*x173 - x252*x177 - x253*x181 - x254*x185 - 
      x255*x189 - x256*x193 - x257*x197 - x258*x201 - x259*x205 - x260*x209 - 
      x261*x213 - x262*x217 - x263*x221 - x3 - 6*x23 - x43 =E= 0;

e50.. x264*x70 - x265*x142 - x266*x146 - x267*x150 - x268*x154 - x269*x158 - 
      x270*x162 - x271*x166 - x272*x170 - x273*x174 - x274*x178 - x275*x182 - 
      x276*x186 - x277*x190 - x278*x194 - x279*x198 - x280*x202 - x281*x206 - 
      x282*x210 - x283*x214 - x284*x218 - 2*x4 - 7*x24 - 7*x44 =E= 0;

e51.. x264*x71 - x265*x143 - x266*x147 - x267*x151 - x268*x155 - x269*x159 - 
      x270*x163 - x271*x167 - x272*x171 - x273*x175 - x274*x179 - x275*x183 - 
      x276*x187 - x277*x191 - x278*x195 - x279*x199 - x280*x203 - x281*x207 - 
      x282*x211 - x283*x215 - x284*x219 - 9*x4 - 6*x24 - 9*x44 =E= 0;

e52.. x264*x72 - x265*x144 - x266*x148 - x267*x152 - x268*x156 - x269*x160 - 
      x270*x164 - x271*x168 - x272*x172 - x273*x176 - x274*x180 - x275*x184 - 
      x276*x188 - x277*x192 - x278*x196 - x279*x200 - x280*x204 - x281*x208 - 
      x282*x212 - x283*x216 - x284*x220 - 8*x4 - 4*x24 - 7*x44 =E= 0;

e53.. x264*x73 - x265*x145 - x266*x149 - x267*x153 - x268*x157 - x269*x161 - 
      x270*x165 - x271*x169 - x272*x173 - x273*x177 - x274*x181 - x275*x185 - 
      x276*x189 - x277*x193 - x278*x197 - x279*x201 - x280*x205 - x281*x209 - 
      x282*x213 - x283*x217 - x284*x221 - x4 - 6*x24 - x44 =E= 0;

e54.. x285*x74 - x286*x142 - x287*x146 - 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 - x301*x202 - x302*x206 - 
      x303*x210 - x304*x214 - x305*x218 - 2*x5 - 7*x25 - 7*x45 =E= 0;

e55.. x285*x75 - x286*x143 - x287*x147 - 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 - x301*x203 - x302*x207 - 
      x303*x211 - x304*x215 - x305*x219 - 9*x5 - 6*x25 - 9*x45 =E= 0;

e56.. x285*x76 - x286*x144 - x287*x148 - 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 - x301*x204 - x302*x208 - 
      x303*x212 - x304*x216 - x305*x220 - 8*x5 - 4*x25 - 7*x45 =E= 0;

e57.. x285*x77 - x286*x145 - x287*x149 - 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 - x301*x205 - x302*x209 - 
      x303*x213 - x304*x217 - x305*x221 - x5 - 6*x25 - x45 =E= 0;

e58.. x306*x78 - x307*x142 - x308*x146 - x309*x150 - x310*x154 - x311*x158 - 
      x312*x162 - x313*x166 - x314*x170 - x315*x174 - x316*x178 - x317*x182 - 
      x318*x186 - x319*x190 - x320*x194 - x321*x198 - x322*x202 - x323*x206 - 
      x324*x210 - x325*x214 - x326*x218 - 2*x6 - 7*x26 - 7*x46 =E= 0;

e59.. x306*x79 - x307*x143 - x308*x147 - x309*x151 - x310*x155 - x311*x159 - 
      x312*x163 - x313*x167 - x314*x171 - x315*x175 - x316*x179 - x317*x183 - 
      x318*x187 - x319*x191 - x320*x195 - x321*x199 - x322*x203 - x323*x207 - 
      x324*x211 - x325*x215 - x326*x219 - 9*x6 - 6*x26 - 9*x46 =E= 0;

e60.. x306*x80 - x307*x144 - x308*x148 - x309*x152 - x310*x156 - x311*x160 - 
      x312*x164 - x313*x168 - x314*x172 - x315*x176 - x316*x180 - x317*x184 - 
      x318*x188 - x319*x192 - x320*x196 - x321*x200 - x322*x204 - x323*x208 - 
      x324*x212 - x325*x216 - x326*x220 - 8*x6 - 4*x26 - 7*x46 =E= 0;

e61.. x306*x81 - x307*x145 - x308*x149 - x309*x153 - x310*x157 - x311*x161 - 
      x312*x165 - x313*x169 - x314*x173 - x315*x177 - x316*x181 - x317*x185 - 
      x318*x189 - x319*x193 - x320*x197 - x321*x201 - x322*x205 - x323*x209 - 
      x324*x213 - x325*x217 - x326*x221 - x6 - 6*x26 - x46 =E= 0;

e62.. x327*x82 - x328*x142 - x329*x146 - x330*x150 - x331*x154 - x332*x158 - 
      x333*x162 - x334*x166 - x335*x170 - x336*x174 - x337*x178 - x338*x182 - 
      x339*x186 - x340*x190 - x341*x194 - x342*x198 - x343*x202 - x344*x206 - 
      x345*x210 - x346*x214 - x347*x218 - 2*x7 - 7*x27 - 7*x47 =E= 0;

e63.. x327*x83 - x328*x143 - x329*x147 - x330*x151 - x331*x155 - x332*x159 - 
      x333*x163 - x334*x167 - x335*x171 - x336*x175 - x337*x179 - x338*x183 - 
      x339*x187 - x340*x191 - x341*x195 - x342*x199 - x343*x203 - x344*x207 - 
      x345*x211 - x346*x215 - x347*x219 - 9*x7 - 6*x27 - 9*x47 =E= 0;

e64.. x327*x84 - x328*x144 - x329*x148 - x330*x152 - x331*x156 - x332*x160 - 
      x333*x164 - x334*x168 - x335*x172 - x336*x176 - x337*x180 - x338*x184 - 
      x339*x188 - x340*x192 - x341*x196 - x342*x200 - x343*x204 - x344*x208 - 
      x345*x212 - x346*x216 - x347*x220 - 8*x7 - 4*x27 - 7*x47 =E= 0;

e65.. x327*x85 - x328*x145 - x329*x149 - x330*x153 - x331*x157 - x332*x161 - 
      x333*x165 - x334*x169 - x335*x173 - x336*x177 - x337*x181 - x338*x185 - 
      x339*x189 - x340*x193 - x341*x197 - x342*x201 - x343*x205 - x344*x209 - 
      x345*x213 - x346*x217 - x347*x221 - x7 - 6*x27 - x47 =E= 0;

e66.. x348*x86 - x349*x142 - x350*x146 - x351*x150 - x352*x154 - x353*x158 - 
      x354*x162 - x355*x166 - x356*x170 - x357*x174 - x358*x178 - x359*x182 - 
      x360*x186 - x361*x190 - x362*x194 - x363*x198 - x364*x202 - x365*x206 - 
      x366*x210 - x367*x214 - x368*x218 - 2*x8 - 7*x28 - 7*x48 =E= 0;

e67.. x348*x87 - x349*x143 - x350*x147 - x351*x151 - x352*x155 - x353*x159 - 
      x354*x163 - x355*x167 - x356*x171 - x357*x175 - x358*x179 - x359*x183 - 
      x360*x187 - x361*x191 - x362*x195 - x363*x199 - x364*x203 - x365*x207 - 
      x366*x211 - x367*x215 - x368*x219 - 9*x8 - 6*x28 - 9*x48 =E= 0;

e68.. x348*x88 - x349*x144 - x350*x148 - x351*x152 - x352*x156 - x353*x160 - 
      x354*x164 - x355*x168 - x356*x172 - x357*x176 - x358*x180 - x359*x184 - 
      x360*x188 - x361*x192 - x362*x196 - x363*x200 - x364*x204 - x365*x208 - 
      x366*x212 - x367*x216 - x368*x220 - 8*x8 - 4*x28 - 7*x48 =E= 0;

e69.. x348*x89 - x349*x145 - x350*x149 - x351*x153 - x352*x157 - x353*x161 - 
      x354*x165 - x355*x169 - x356*x173 - x357*x177 - x358*x181 - x359*x185 - 
      x360*x189 - x361*x193 - x362*x197 - x363*x201 - x364*x205 - x365*x209 - 
      x366*x213 - x367*x217 - x368*x221 - x8 - 6*x28 - x48 =E= 0;

e70.. x369*x90 - x370*x142 - x371*x146 - x372*x150 - x373*x154 - x374*x158 - 
      x375*x162 - x376*x166 - x377*x170 - x378*x174 - x379*x178 - x380*x182 - 
      x381*x186 - x382*x190 - x383*x194 - x384*x198 - x385*x202 - x386*x206 - 
      x387*x210 - x388*x214 - x389*x218 - 2*x9 - 7*x29 - 7*x49 =E= 0;

e71.. x369*x91 - x370*x143 - x371*x147 - x372*x151 - x373*x155 - x374*x159 - 
      x375*x163 - x376*x167 - x377*x171 - x378*x175 - x379*x179 - x380*x183 - 
      x381*x187 - x382*x191 - x383*x195 - x384*x199 - x385*x203 - x386*x207 - 
      x387*x211 - x388*x215 - x389*x219 - 9*x9 - 6*x29 - 9*x49 =E= 0;

e72.. x369*x92 - x370*x144 - x371*x148 - x372*x152 - x373*x156 - x374*x160 - 
      x375*x164 - x376*x168 - x377*x172 - x378*x176 - x379*x180 - x380*x184 - 
      x381*x188 - x382*x192 - x383*x196 - x384*x200 - x385*x204 - x386*x208 - 
      x387*x212 - x388*x216 - x389*x220 - 8*x9 - 4*x29 - 7*x49 =E= 0;

e73.. x369*x93 - x370*x145 - x371*x149 - x372*x153 - x373*x157 - x374*x161 - 
      x375*x165 - x376*x169 - x377*x173 - x378*x177 - x379*x181 - x380*x185 - 
      x381*x189 - x382*x193 - x383*x197 - x384*x201 - x385*x205 - x386*x209 - 
      x387*x213 - x388*x217 - x389*x221 - x9 - 6*x29 - x49 =E= 0;

e74.. x390*x94 - x391*x142 - x392*x146 - x393*x150 - x394*x154 - x395*x158 - 
      x396*x162 - x397*x166 - x398*x170 - x399*x174 - x400*x178 - x401*x182 - 
      x402*x186 - x403*x190 - x404*x194 - x405*x198 - x406*x202 - x407*x206 - 
      x408*x210 - x409*x214 - x410*x218 - 2*x10 - 7*x30 - 7*x50 =E= 0;

e75.. x390*x95 - x391*x143 - x392*x147 - x393*x151 - x394*x155 - x395*x159 - 
      x396*x163 - x397*x167 - x398*x171 - x399*x175 - x400*x179 - x401*x183 - 
      x402*x187 - x403*x191 - x404*x195 - x405*x199 - x406*x203 - x407*x207 - 
      x408*x211 - x409*x215 - x410*x219 - 9*x10 - 6*x30 - 9*x50 =E= 0;

e76.. x390*x96 - x391*x144 - x392*x148 - x393*x152 - x394*x156 - x395*x160 - 
      x396*x164 - x397*x168 - x398*x172 - x399*x176 - x400*x180 - x401*x184 - 
      x402*x188 - x403*x192 - x404*x196 - x405*x200 - x406*x204 - x407*x208 - 
      x408*x212 - x409*x216 - x410*x220 - 8*x10 - 4*x30 - 7*x50 =E= 0;

e77.. x390*x97 - x391*x145 - x392*x149 - x393*x153 - x394*x157 - x395*x161 - 
      x396*x165 - x397*x169 - x398*x173 - x399*x177 - x400*x181 - x401*x185 - 
      x402*x189 - x403*x193 - x404*x197 - x405*x201 - x406*x205 - x407*x209 - 
      x408*x213 - x409*x217 - x410*x221 - x10 - 6*x30 - x50 =E= 0;

e78.. x411*x98 - x412*x142 - x413*x146 - x414*x150 - x415*x154 - x416*x158 - 
      x417*x162 - x418*x166 - x419*x170 - x420*x174 - x421*x178 - x422*x182 - 
      x423*x186 - x424*x190 - x425*x194 - x426*x198 - x427*x202 - x428*x206 - 
      x429*x210 - x430*x214 - x431*x218 - 2*x11 - 7*x31 - 7*x51 =E= 0;

e79.. x411*x99 - x412*x143 - x413*x147 - x414*x151 - x415*x155 - x416*x159 - 
      x417*x163 - x418*x167 - x419*x171 - x420*x175 - x421*x179 - x422*x183 - 
      x423*x187 - x424*x191 - x425*x195 - x426*x199 - x427*x203 - x428*x207 - 
      x429*x211 - x430*x215 - x431*x219 - 9*x11 - 6*x31 - 9*x51 =E= 0;

e80.. x411*x100 - x412*x144 - x413*x148 - x414*x152 - x415*x156 - x416*x160 - 
      x417*x164 - x418*x168 - x419*x172 - x420*x176 - x421*x180 - x422*x184 - 
      x423*x188 - x424*x192 - x425*x196 - x426*x200 - x427*x204 - x428*x208 - 
      x429*x212 - x430*x216 - x431*x220 - 8*x11 - 4*x31 - 7*x51 =E= 0;

e81.. x411*x101 - x412*x145 - x413*x149 - x414*x153 - x415*x157 - x416*x161 - 
      x417*x165 - x418*x169 - x419*x173 - x420*x177 - x421*x181 - x422*x185 - 
      x423*x189 - x424*x193 - x425*x197 - x426*x201 - x427*x205 - x428*x209 - 
      x429*x213 - x430*x217 - x431*x221 - x11 - 6*x31 - x51 =E= 0;

e82.. x432*x102 - x433*x142 - x434*x146 - x435*x150 - x436*x154 - x437*x158 - 
      x438*x162 - x439*x166 - x440*x170 - x441*x174 - x442*x178 - x443*x182 - 
      x444*x186 - x445*x190 - x446*x194 - x447*x198 - x448*x202 - x449*x206 - 
      x450*x210 - x451*x214 - x452*x218 - 2*x12 - 7*x32 - 7*x52 =E= 0;

e83.. x432*x103 - x433*x143 - x434*x147 - x435*x151 - x436*x155 - x437*x159 - 
      x438*x163 - x439*x167 - x440*x171 - x441*x175 - x442*x179 - x443*x183 - 
      x444*x187 - x445*x191 - x446*x195 - x447*x199 - x448*x203 - x449*x207 - 
      x450*x211 - x451*x215 - x452*x219 - 9*x12 - 6*x32 - 9*x52 =E= 0;

e84.. x432*x104 - x433*x144 - x434*x148 - x435*x152 - x436*x156 - x437*x160 - 
      x438*x164 - x439*x168 - x440*x172 - x441*x176 - x442*x180 - x443*x184 - 
      x444*x188 - x445*x192 - x446*x196 - x447*x200 - x448*x204 - x449*x208 - 
      x450*x212 - x451*x216 - x452*x220 - 8*x12 - 4*x32 - 7*x52 =E= 0;

e85.. x432*x105 - x433*x145 - x434*x149 - x435*x153 - x436*x157 - x437*x161 - 
      x438*x165 - x439*x169 - x440*x173 - x441*x177 - x442*x181 - x443*x185 - 
      x444*x189 - x445*x193 - x446*x197 - x447*x201 - x448*x205 - x449*x209 - 
      x450*x213 - x451*x217 - x452*x221 - x12 - 6*x32 - x52 =E= 0;

e86.. x453*x106 - x454*x142 - x455*x146 - x456*x150 - x457*x154 - x458*x158 - 
      x459*x162 - x460*x166 - x461*x170 - x462*x174 - x463*x178 - x464*x182 - 
      x465*x186 - x466*x190 - x467*x194 - x468*x198 - x469*x202 - x470*x206 - 
      x471*x210 - x472*x214 - x473*x218 - 2*x13 - 7*x33 - 7*x53 =E= 0;

e87.. x453*x107 - x454*x143 - x455*x147 - x456*x151 - x457*x155 - x458*x159 - 
      x459*x163 - x460*x167 - x461*x171 - x462*x175 - x463*x179 - x464*x183 - 
      x465*x187 - x466*x191 - x467*x195 - x468*x199 - x469*x203 - x470*x207 - 
      x471*x211 - x472*x215 - x473*x219 - 9*x13 - 6*x33 - 9*x53 =E= 0;

e88.. x453*x108 - x454*x144 - x455*x148 - x456*x152 - x457*x156 - x458*x160 - 
      x459*x164 - x460*x168 - x461*x172 - x462*x176 - x463*x180 - x464*x184 - 
      x465*x188 - x466*x192 - x467*x196 - x468*x200 - x469*x204 - x470*x208 - 
      x471*x212 - x472*x216 - x473*x220 - 8*x13 - 4*x33 - 7*x53 =E= 0;

e89.. x453*x109 - x454*x145 - x455*x149 - x456*x153 - x457*x157 - x458*x161 - 
      x459*x165 - x460*x169 - x461*x173 - x462*x177 - x463*x181 - x464*x185 - 
      x465*x189 - x466*x193 - x467*x197 - x468*x201 - x469*x205 - x470*x209 - 
      x471*x213 - x472*x217 - x473*x221 - x13 - 6*x33 - x53 =E= 0;

e90.. x474*x110 - x475*x142 - x476*x146 - x477*x150 - x478*x154 - x479*x158 - 
      x480*x162 - x481*x166 - x482*x170 - x483*x174 - x484*x178 - x485*x182 - 
      x486*x186 - x487*x190 - x488*x194 - x489*x198 - x490*x202 - x491*x206 - 
      x492*x210 - x493*x214 - x494*x218 - 2*x14 - 7*x34 - 7*x54 =E= 0;

e91.. x474*x111 - x475*x143 - x476*x147 - x477*x151 - x478*x155 - x479*x159 - 
      x480*x163 - x481*x167 - x482*x171 - x483*x175 - x484*x179 - x485*x183 - 
      x486*x187 - x487*x191 - x488*x195 - x489*x199 - x490*x203 - x491*x207 - 
      x492*x211 - x493*x215 - x494*x219 - 9*x14 - 6*x34 - 9*x54 =E= 0;

e92.. x474*x112 - x475*x144 - x476*x148 - x477*x152 - x478*x156 - x479*x160 - 
      x480*x164 - x481*x168 - x482*x172 - x483*x176 - x484*x180 - x485*x184 - 
      x486*x188 - x487*x192 - x488*x196 - x489*x200 - x490*x204 - x491*x208 - 
      x492*x212 - x493*x216 - x494*x220 - 8*x14 - 4*x34 - 7*x54 =E= 0;

e93.. x474*x113 - x475*x145 - x476*x149 - x477*x153 - x478*x157 - x479*x161 - 
      x480*x165 - x481*x169 - x482*x173 - x483*x177 - x484*x181 - x485*x185 - 
      x486*x189 - x487*x193 - x488*x197 - x489*x201 - x490*x205 - x491*x209 - 
      x492*x213 - x493*x217 - x494*x221 - x14 - 6*x34 - x54 =E= 0;

e94.. x495*x114 - x496*x142 - x497*x146 - x498*x150 - x499*x154 - x500*x158 - 
      x501*x162 - x502*x166 - x503*x170 - x504*x174 - x505*x178 - x506*x182 - 
      x507*x186 - x508*x190 - x509*x194 - x510*x198 - x511*x202 - x512*x206 - 
      x513*x210 - x514*x214 - x515*x218 - 2*x15 - 7*x35 - 7*x55 =E= 0;

e95.. x495*x115 - x496*x143 - x497*x147 - x498*x151 - x499*x155 - x500*x159 - 
      x501*x163 - x502*x167 - x503*x171 - x504*x175 - x505*x179 - x506*x183 - 
      x507*x187 - x508*x191 - x509*x195 - x510*x199 - x511*x203 - x512*x207 - 
      x513*x211 - x514*x215 - x515*x219 - 9*x15 - 6*x35 - 9*x55 =E= 0;

e96.. x495*x116 - x496*x144 - x497*x148 - x498*x152 - x499*x156 - x500*x160 - 
      x501*x164 - x502*x168 - x503*x172 - x504*x176 - x505*x180 - x506*x184 - 
      x507*x188 - x508*x192 - x509*x196 - x510*x200 - x511*x204 - x512*x208 - 
      x513*x212 - x514*x216 - x515*x220 - 8*x15 - 4*x35 - 7*x55 =E= 0;

e97.. x495*x117 - x496*x145 - x497*x149 - x498*x153 - x499*x157 - x500*x161 - 
      x501*x165 - x502*x169 - x503*x173 - x504*x177 - x505*x181 - x506*x185 - 
      x507*x189 - x508*x193 - x509*x197 - x510*x201 - x511*x205 - x512*x209 - 
      x513*x213 - x514*x217 - x515*x221 - x15 - 6*x35 - x55 =E= 0;

e98.. x516*x118 - x517*x142 - x518*x146 - x519*x150 - x520*x154 - x521*x158 - 
      x522*x162 - x523*x166 - x524*x170 - x525*x174 - x526*x178 - x527*x182 - 
      x528*x186 - x529*x190 - x530*x194 - x531*x198 - x532*x202 - x533*x206 - 
      x534*x210 - x535*x214 - x536*x218 - 2*x16 - 7*x36 - 7*x56 =E= 0;

e99.. x516*x119 - x517*x143 - x518*x147 - x519*x151 - x520*x155 - x521*x159 - 
      x522*x163 - x523*x167 - x524*x171 - x525*x175 - x526*x179 - x527*x183 - 
      x528*x187 - x529*x191 - x530*x195 - x531*x199 - x532*x203 - x533*x207 - 
      x534*x211 - x535*x215 - x536*x219 - 9*x16 - 6*x36 - 9*x56 =E= 0;

e100.. x516*x120 - x517*x144 - x518*x148 - x519*x152 - x520*x156 - x521*x160 - 
       x522*x164 - x523*x168 - x524*x172 - x525*x176 - x526*x180 - x527*x184 - 
       x528*x188 - x529*x192 - x530*x196 - x531*x200 - x532*x204 - x533*x208 - 
       x534*x212 - x535*x216 - x536*x220 - 8*x16 - 4*x36 - 7*x56 =E= 0;

e101.. x516*x121 - x517*x145 - x518*x149 - x519*x153 - x520*x157 - x521*x161 - 
       x522*x165 - x523*x169 - x524*x173 - x525*x177 - x526*x181 - x527*x185 - 
       x528*x189 - x529*x193 - x530*x197 - x531*x201 - x532*x205 - x533*x209 - 
       x534*x213 - x535*x217 - x536*x221 - x16 - 6*x36 - x56 =E= 0;

e102.. x537*x122 - x538*x142 - x539*x146 - x540*x150 - x541*x154 - x542*x158 - 
       x543*x162 - x544*x166 - x545*x170 - x546*x174 - x547*x178 - x548*x182 - 
       x549*x186 - x550*x190 - x551*x194 - x552*x198 - x553*x202 - x554*x206 - 
       x555*x210 - x556*x214 - x557*x218 - 2*x17 - 7*x37 - 7*x57 =E= 0;

e103.. x537*x123 - x538*x143 - x539*x147 - x540*x151 - x541*x155 - x542*x159 - 
       x543*x163 - x544*x167 - x545*x171 - x546*x175 - x547*x179 - x548*x183 - 
       x549*x187 - x550*x191 - x551*x195 - x552*x199 - x553*x203 - x554*x207 - 
       x555*x211 - x556*x215 - x557*x219 - 9*x17 - 6*x37 - 9*x57 =E= 0;

e104.. x537*x124 - x538*x144 - x539*x148 - x540*x152 - x541*x156 - x542*x160 - 
       x543*x164 - x544*x168 - x545*x172 - x546*x176 - x547*x180 - x548*x184 - 
       x549*x188 - x550*x192 - x551*x196 - x552*x200 - x553*x204 - x554*x208 - 
       x555*x212 - x556*x216 - x557*x220 - 8*x17 - 4*x37 - 7*x57 =E= 0;

e105.. x537*x125 - x538*x145 - x539*x149 - x540*x153 - x541*x157 - x542*x161 - 
       x543*x165 - x544*x169 - x545*x173 - x546*x177 - x547*x181 - x548*x185 - 
       x549*x189 - x550*x193 - x551*x197 - x552*x201 - x553*x205 - x554*x209 - 
       x555*x213 - x556*x217 - x557*x221 - x17 - 6*x37 - x57 =E= 0;

e106.. x558*x126 - x559*x142 - x560*x146 - x561*x150 - x562*x154 - x563*x158 - 
       x564*x162 - x565*x166 - x566*x170 - x567*x174 - x568*x178 - x569*x182 - 
       x570*x186 - x571*x190 - x572*x194 - x573*x198 - x574*x202 - x575*x206 - 
       x576*x210 - x577*x214 - x578*x218 - 2*x18 - 7*x38 - 7*x58 =E= 0;

e107.. x558*x127 - x559*x143 - x560*x147 - x561*x151 - x562*x155 - x563*x159 - 
       x564*x163 - x565*x167 - x566*x171 - x567*x175 - x568*x179 - x569*x183 - 
       x570*x187 - x571*x191 - x572*x195 - x573*x199 - x574*x203 - x575*x207 - 
       x576*x211 - x577*x215 - x578*x219 - 9*x18 - 6*x38 - 9*x58 =E= 0;

e108.. x558*x128 - x559*x144 - x560*x148 - x561*x152 - x562*x156 - x563*x160 - 
       x564*x164 - x565*x168 - x566*x172 - x567*x176 - x568*x180 - x569*x184 - 
       x570*x188 - x571*x192 - x572*x196 - x573*x200 - x574*x204 - x575*x208 - 
       x576*x212 - x577*x216 - x578*x220 - 8*x18 - 4*x38 - 7*x58 =E= 0;

e109.. x558*x129 - x559*x145 - x560*x149 - x561*x153 - x562*x157 - x563*x161 - 
       x564*x165 - x565*x169 - x566*x173 - x567*x177 - x568*x181 - x569*x185 - 
       x570*x189 - x571*x193 - x572*x197 - x573*x201 - x574*x205 - x575*x209 - 
       x576*x213 - x577*x217 - x578*x221 - x18 - 6*x38 - x58 =E= 0;

e110.. x579*x130 - x580*x142 - x581*x146 - x582*x150 - x583*x154 - x584*x158 - 
       x585*x162 - x586*x166 - x587*x170 - x588*x174 - x589*x178 - x590*x182 - 
       x591*x186 - x592*x190 - x593*x194 - x594*x198 - x595*x202 - x596*x206 - 
       x597*x210 - x598*x214 - x599*x218 - 2*x19 - 7*x39 - 7*x59 =E= 0;

e111.. x579*x131 - x580*x143 - x581*x147 - x582*x151 - x583*x155 - x584*x159 - 
       x585*x163 - x586*x167 - x587*x171 - x588*x175 - x589*x179 - x590*x183 - 
       x591*x187 - x592*x191 - x593*x195 - x594*x199 - x595*x203 - x596*x207 - 
       x597*x211 - x598*x215 - x599*x219 - 9*x19 - 6*x39 - 9*x59 =E= 0;

e112.. x579*x132 - x580*x144 - x581*x148 - x582*x152 - x583*x156 - x584*x160 - 
       x585*x164 - x586*x168 - x587*x172 - x588*x176 - x589*x180 - x590*x184 - 
       x591*x188 - x592*x192 - x593*x196 - x594*x200 - x595*x204 - x596*x208 - 
       x597*x212 - x598*x216 - x599*x220 - 8*x19 - 4*x39 - 7*x59 =E= 0;

e113.. x579*x133 - x580*x145 - x581*x149 - x582*x153 - x583*x157 - x584*x161 - 
       x585*x165 - x586*x169 - x587*x173 - x588*x177 - x589*x181 - x590*x185 - 
       x591*x189 - x592*x193 - x593*x197 - x594*x201 - x595*x205 - x596*x209 - 
       x597*x213 - x598*x217 - x599*x221 - x19 - 6*x39 - x59 =E= 0;

e114.. x600*x134 - x601*x142 - x602*x146 - x603*x150 - x604*x154 - x605*x158 - 
       x606*x162 - x607*x166 - x608*x170 - x609*x174 - x610*x178 - x611*x182 - 
       x612*x186 - x613*x190 - x614*x194 - x615*x198 - x616*x202 - x617*x206 - 
       x618*x210 - x619*x214 - x620*x218 - 2*x20 - 7*x40 - 7*x60 =E= 0;

e115.. x600*x135 - x601*x143 - x602*x147 - x603*x151 - x604*x155 - x605*x159 - 
       x606*x163 - x607*x167 - x608*x171 - x609*x175 - x610*x179 - x611*x183 - 
       x612*x187 - x613*x191 - x614*x195 - x615*x199 - x616*x203 - x617*x207 - 
       x618*x211 - x619*x215 - x620*x219 - 9*x20 - 6*x40 - 9*x60 =E= 0;

e116.. x600*x136 - x601*x144 - x602*x148 - x603*x152 - x604*x156 - x605*x160 - 
       x606*x164 - x607*x168 - x608*x172 - x609*x176 - x610*x180 - x611*x184 - 
       x612*x188 - x613*x192 - x614*x196 - x615*x200 - x616*x204 - x617*x208 - 
       x618*x212 - x619*x216 - x620*x220 - 8*x20 - 4*x40 - 7*x60 =E= 0;

e117.. x600*x137 - x601*x145 - x602*x149 - x603*x153 - x604*x157 - x605*x161 - 
       x606*x165 - x607*x169 - x608*x173 - x609*x177 - x610*x181 - x611*x185 - 
       x612*x189 - x613*x193 - x614*x197 - x615*x201 - x616*x205 - x617*x209 - 
       x618*x213 - x619*x217 - x620*x221 - x20 - 6*x40 - x60 =E= 0;

e118.. x621*x138 - x622*x142 - x623*x146 - x624*x150 - x625*x154 - x626*x158 - 
       x627*x162 - x628*x166 - x629*x170 - x630*x174 - x631*x178 - x632*x182 - 
       x633*x186 - x634*x190 - x635*x194 - x636*x198 - x637*x202 - x638*x206 - 
       x639*x210 - x640*x214 - x641*x218 - 2*x21 - 7*x41 - 7*x61 =E= 0;

e119.. x621*x139 - x622*x143 - x623*x147 - x624*x151 - x625*x155 - x626*x159 - 
       x627*x163 - x628*x167 - x629*x171 - x630*x175 - x631*x179 - x632*x183 - 
       x633*x187 - x634*x191 - x635*x195 - x636*x199 - x637*x203 - x638*x207 - 
       x639*x211 - x640*x215 - x641*x219 - 9*x21 - 6*x41 - 9*x61 =E= 0;

e120.. x621*x140 - x622*x144 - x623*x148 - x624*x152 - x625*x156 - x626*x160 - 
       x627*x164 - x628*x168 - x629*x172 - x630*x176 - x631*x180 - x632*x184 - 
       x633*x188 - x634*x192 - x635*x196 - x636*x200 - x637*x204 - x638*x208 - 
       x639*x212 - x640*x216 - x641*x220 - 8*x21 - 4*x41 - 7*x61 =E= 0;

e121.. x621*x141 - x622*x145 - x623*x149 - x624*x153 - x625*x157 - x626*x161 - 
       x627*x165 - x628*x169 - x629*x173 - x630*x177 - x631*x181 - x632*x185 - 
       x633*x189 - x634*x193 - x635*x197 - x636*x201 - x637*x205 - x638*x209 - 
       x639*x213 - x640*x217 - x641*x221 - x21 - 6*x41 - x61 =E= 0;

e122.. x222*x62 - x222*x142 =E= -3752;

e123.. x222*x63 - x222*x143 =E= -146060;

e124.. x222*x64 - x222*x144 =E= -151420;

e125.. x222*x65 - x222*x145 =E= -93800;

e126.. x243*x66 - x243*x146 =E= -10434;

e127.. x243*x67 - x243*x147 =E= -29748;

e128.. x243*x68 - x243*x148 =E= -42254;

e129.. x243*x69 - x243*x149 =E= -20202;

e130.. x264*x70 - x264*x150 =E= -48022;

e131.. x264*x71 - x264*x151 =E= -13806;

e132.. x264*x72 - x264*x152 =E= -14612;

e133.. x264*x73 - x264*x153 =E= -39182;

e134.. x285*x74 - x285*x154 =E= -123816;

e135.. x285*x75 - x285*x155 =E= -23056;

e136.. x285*x76 - x285*x156 =E= -209352;

e137.. x285*x77 - x285*x157 =E= -195536;

e138.. x306*x78 - x306*x158 =E= -107500;

e139.. x306*x79 - x306*x159 =E= -24600;

e140.. x306*x80 - x306*x160 =E= -79900;

e141.. x306*x81 - x306*x161 =E= -186000;

e142.. x327*x82 - x327*x162 =E= -5280;

e143.. x327*x83 - x327*x163 =E= -31240;

e144.. x327*x84 - x327*x164 =E= -67155;

e145.. x327*x85 - x327*x165 =E= -76175;

e146.. x348*x86 - x348*x166 =E= -57900;

e147.. x348*x87 - x348*x167 =E= -9850;

e148.. x348*x88 - x348*x168 =E= -35700;

e149.. x348*x89 - x348*x169 =E= -134550;

e150.. x369*x90 - x369*x170 =E= -2626;

e151.. x369*x91 - x369*x171 =E= -33748;

e152.. x369*x92 - x369*x172 =E= -23088;

e153.. x369*x93 - x369*x173 =E= -67496;

e154.. x390*x94 - x390*x174 =E= -223146;

e155.. x390*x95 - x390*x175 =E= -19110;

e156.. x390*x96 - x390*x176 =E= -97412;

e157.. x390*x97 - x390*x177 =E= -22932;

e158.. x411*x98 - x411*x178 =E= -48070;

e159.. x411*x99 - x411*x179 =E= -114425;

e160.. x411*x100 - x411*x180 =E= -72220;

e161.. x411*x101 - x411*x181 =E= -200790;

e162.. x432*x102 - x432*x182 =E= -81090;

e163.. x432*x103 - x432*x183 =E= -133365;

e164.. x432*x104 - x432*x184 =E= -25075;

e165.. x432*x105 - x432*x185 =E= -4335;

e166.. x453*x106 - x453*x186 =E= -75905;

e167.. x453*x107 - x453*x187 =E= -111435;

e168.. x453*x108 - x453*x188 =E= -109725;

e169.. x453*x109 - x453*x189 =E= -21660;

e170.. x474*x110 - x474*x190 =E= -33800;

e171.. x474*x111 - x474*x191 =E= -176500;

e172.. x474*x112 - x474*x192 =E= -153000;

e173.. x474*x113 - x474*x193 =E= -74400;

e174.. x495*x114 - x495*x194 =E= -49050;

e175.. x495*x115 - x495*x195 =E= -34740;

e176.. x495*x116 - x495*x196 =E= -88110;

e177.. x495*x117 - x495*x197 =E= -81225;

e178.. x516*x118 - x516*x198 =E= -9200;

e179.. x516*x119 - x516*x199 =E= -35000;

e180.. x516*x120 - x516*x200 =E= -47700;

e181.. x516*x121 - x516*x201 =E= -30700;

e182.. x537*x122 - x537*x202 =E= -10200;

e183.. x537*x123 - x537*x203 =E= -128475;

e184.. x537*x124 - x537*x204 =E= -34050;

e185.. x537*x125 - x537*x205 =E= -28275;

e186.. x558*x126 - x558*x206 =E= -58995;

e187.. x558*x127 - x558*x207 =E= -46265;

e188.. x558*x128 - x558*x208 =E= -8645;

e189.. x558*x129 - x558*x209 =E= -51110;

e190.. x579*x130 - x579*x210 =E= -82600;

e191.. x579*x131 - x579*x211 =E= -9000;

e192.. x579*x132 - x579*x212 =E= -19800;

e193.. x579*x133 - x579*x213 =E= -28400;

e194.. x600*x134 - x600*x214 =E= -8760;

e195.. x600*x135 - x600*x215 =E= -24000;

e196.. x600*x136 - x600*x216 =E= -45480;

e197.. x600*x137 - x600*x217 =E= -45600;

e198.. x621*x138 - x621*x218 =E= -25480;

e199.. x621*x139 - x621*x219 =E= -16450;

e200.. x621*x140 - x621*x220 =E= -7560;

e201.. x621*x141 - x621*x221 =E= -15470;

* 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 = 2250;
x63.up = 575;
x64.up = 203;
x65.up = 1393;
x66.up = 298;
x67.up = 2353;
x68.up = 364;
x69.up = 2396;
x70.up = 883;
x71.up = 1292;
x72.up = 2398;
x73.up = 862;
x74.up = 1257;
x75.up = 2354;
x76.up = 327;
x77.up = 341;
x78.up = 1680;
x79.up = 2476;
x80.up = 2105;
x81.up = 1092;
x82.up = 1759;
x83.up = 301;
x84.up = 139;
x85.up = 1354;
x86.up = 58;
x87.up = 2025;
x88.up = 511;
x89.up = 124;
x90.up = 2084;
x91.up = 538;
x92.up = 537;
x93.up = 225;
x94.up = 427;
x95.up = 2087;
x96.up = 1759;
x97.up = 482;
x98.up = 2086;
x99.up = 1863;
x100.up = 2195;
x101.up = 396;
x102.up = 2012;
x103.up = 994;
x104.up = 1923;
x105.up = 2076;
x106.up = 647;
x107.up = 557;
x108.up = 1675;
x109.up = 2330;
x110.up = 1898;
x111.up = 527;
x112.up = 381;
x113.up = 1257;
x114.up = 1718;
x115.up = 858;
x116.up = 323;
x117.up = 191;
x118.up = 1661;
x119.up = 1366;
x120.up = 413;
x121.up = 1546;
x122.up = 1243;
x123.up = 639;
x124.up = 2078;
x125.up = 249;
x126.up = 363;
x127.up = 223;
x128.up = 307;
x129.up = 93;
x130.up = 31;
x131.up = 468;
x132.up = 530;
x133.up = 251;
x134.up = 850;
x135.up = 451;
x136.up = 628;
x137.up = 531;
x138.up = 473;
x139.up = 739;
x140.up = 528;
x141.up = 287;
x142.up = 2278;
x143.up = 1665;
x144.up = 1333;
x145.up = 2093;
x146.up = 439;
x147.up = 2755;
x148.up = 935;
x149.up = 2669;
x150.up = 2730;
x151.up = 1823;
x152.up = 2960;
x153.up = 2369;
x154.up = 2664;
x155.up = 2616;
x156.up = 2706;
x157.up = 2563;
x158.up = 2755;
x159.up = 2722;
x160.up = 2904;
x161.up = 2952;
x162.up = 1855;
x163.up = 869;
x164.up = 1360;
x165.up = 2739;
x166.up = 1216;
x167.up = 2222;
x168.up = 1225;
x169.up = 2815;
x170.up = 2185;
x171.up = 1836;
x172.up = 1425;
x173.up = 2821;
x174.up = 2704;
x175.up = 2282;
x176.up = 2753;
x177.up = 716;
x178.up = 2504;
x179.up = 2858;
x180.up = 2823;
x181.up = 2142;
x182.up = 2966;
x183.up = 2563;
x184.up = 2218;
x185.up = 2127;
x186.up = 1446;
x187.up = 1730;
x188.up = 2830;
x189.up = 2558;
x190.up = 2236;
x191.up = 2292;
x192.up = 1911;
x193.up = 2001;
x194.up = 2808;
x195.up = 1630;
x196.up = 2281;
x197.up = 1996;
x198.up = 1753;
x199.up = 1716;
x200.up = 890;
x201.up = 1853;
x202.up = 1379;
x203.up = 2352;
x204.up = 2532;
x205.up = 626;
x206.up = 984;
x207.up = 710;
x208.up = 398;
x209.up = 631;
x210.up = 857;
x211.up = 558;
x212.up = 728;
x213.up = 535;
x214.up = 923;
x215.up = 651;
x216.up = 1007;
x217.up = 911;
x218.up = 837;
x219.up = 974;
x220.up = 636;
x221.up = 508;
x222.up = 134;
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 = 100000;
x237.up = 100000;
x238.up = 100000;
x239.up = 100000;
x240.up = 100000;
x241.up = 100000;
x242.up = 100000;
x243.up = 74;
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 = 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 = 26;
x265.up = 100000;
x266.up = 100000;
x267.up = 100000;
x268.up = 100000;
x269.up = 100000;
x270.up = 100000;
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 = 88;
x286.up = 100000;
x287.up = 100000;
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 = 100000;
x305.up = 100000;
x306.up = 100;
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 = 100000;
x322.up = 100000;
x323.up = 100000;
x324.up = 100000;
x325.up = 100000;
x326.up = 100000;
x327.up = 55;
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 = 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 = 50;
x349.up = 100000;
x350.up = 100000;
x351.up = 100000;
x352.up = 100000;
x353.up = 100000;
x354.up = 100000;
x355.up = 100000;
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 = 26;
x370.up = 100000;
x371.up = 100000;
x372.up = 100000;
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 = 100000;
x390.up = 98;
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 = 100000;
x407.up = 100000;
x408.up = 100000;
x409.up = 100000;
x410.up = 100000;
x411.up = 115;
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 = 85;
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 = 95;
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 = 100;
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;
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 = 45;
x496.up = 100000;
x497.up = 100000;
x498.up = 100000;
x499.up = 100000;
x500.up = 100000;
x501.up = 100000;
x502.up = 100000;
x503.up = 100000;
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 = 100;
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 = 75;
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 = 95;
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 = 100;
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 = 120;
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 = 70;
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;

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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