MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waterno1_04

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
472.09708500 p1 ( gdx sol )
(infeas: 4e-12)
Other points (infeas > 1e-08)  
Dual Bounds
472.09708500 (COUENNE)
457.81573800 (LINDO)
472.09645960 (SCIP)
References Huang, Wei, Operative Planning of Water Supply Networks by Mixed Integer Nonlinear Programming, Masters thesis, Freie Universität Berlin, 2011.
Gleixner, Ambros M, Held, Harald, Huang, Wei, and Vigerske, Stefan, Towards globally optimal operation of water supply networks, Numerical Algebra, Control and Optimization, 2:4, 2012, 695-711.
Application Water Network Operation
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 664
#Binary Variables 60
#Integer Variables 0
#Nonlinear Variables 184
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 84
#Nonlinear Nonzeros in Objective 0
#Constraints 809
#Linear Constraints 625
#Quadratic Constraints 96
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 88
Operands in Gen. Nonlin. Functions signpower
Constraints curvature indefinite
#Nonzeros in Jacobian 2100
#Nonlinear Nonzeros in Jacobian 232
#Nonzeros in (Upper-Left) Hessian of Lagrangian 232
#Nonzeros in Diagonal of Hessian of Lagrangian 136
#Blocks in Hessian of Lagrangian 136
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 2
Average blocksize in Hessian of Lagrangian 1.352941
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.8052e-04
Maximal coefficient 6.0160e+04
Infeasibility of initial point 5796
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        810      417      225      168        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        665      605       60        0        0        0        0        0
*  FX      8
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2185     1953      232        0
*
*  Solve m using MINLP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,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,x664,x665;

Positive Variables  x63,x66,x69,x72,x75,x78,x81,x83,x85,x87,x89,x91,x93,x95
          ,x97,x99,x101,x103,x105,x107,x109,x111,x113,x115,x117,x119,x121,x123
          ,x125,x127,x129,x152,x155,x158,x161,x177,x178,x182,x183,x187,x188
          ,x192,x193,x203,x205,x207,x209,x212,x215,x218,x221,x223,x225,x227
          ,x229,x234,x235,x236,x237,x242,x243,x244,x245,x255,x256,x257,x258
          ,x259,x260,x261,x263,x264,x265,x266,x267,x268,x269,x271,x272,x273
          ,x274,x275,x276,x277,x278,x280,x281,x282,x284,x285,x286,x288,x289
          ,x290,x292,x293,x294,x296,x298,x299,x300,x302,x304,x305,x306,x308
          ,x310,x311,x312,x314,x316,x317,x318,x320,x322,x323,x324,x326,x328
          ,x329,x330,x332,x334,x335,x336,x338,x340,x341,x342,x344,x346,x347
          ,x348,x350,x352,x353,x354,x356,x358,x359,x360,x362,x364,x365,x366
          ,x368,x370,x371,x372,x390,x391,x393,x394,x396,x397,x399,x400,x402
          ,x404,x406,x408,x410,x412,x414,x416,x418,x419,x421,x422,x424,x425
          ,x427,x428,x430,x431,x433,x434,x436,x437,x439,x440,x478,x479,x481
          ,x482,x484,x485,x487,x488,x490,x493,x496,x499,x506,x508,x510,x512
          ,x518,x521,x524,x527,x530,x532,x534,x536,x542,x544,x546,x548,x550
          ,x552,x554,x556,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
          ,x607,x610,x613,x616,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,x664,x665;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
          ,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
          ,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
          ,e806,e807,e808,e809,e810;


e1..    objvar - 20*x570 - 20*x571 - 20*x572 - 20*x573 - 20*x574 - 20*x575
      - 20*x576 - 20*x577 - 20*x578 - 20*x579 - 20*x580 - 20*x581 - 20*x582
      - 20*x583 - 20*x584 - 20*x585 - 20*x586 - 20*x587 - 20*x588 - 20*x589
      - 20*x590 - 20*x591 - 20*x592 - 20*x593 - 20*x594 - 20*x595 - 20*x596
      - 20*x597 - 20*x598 - 20*x599 - 20*x600 - 20*x601 - 20*x602 - 20*x603
      - 20*x604 - 20*x605 - 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 - x664
      - x665 =E= 0;

e2..    x279 + x281 =E= 413.764247971;

e3..    x283 + x285 =E= 413.764247971;

e4..    x287 + x289 =E= 413.764247971;

e5..    x291 + x293 =E= 413.764247971;

e6..  - 443.128162372*x295 + x297 + x299 =E= 0;

e7..  - 443.128162372*x301 + x303 + x305 =E= 0;

e8..  - 443.128162372*x307 + x309 + x311 =E= 0;

e9..  - 443.128162372*x313 + x315 + x317 =E= 0;

e10..  - 443.128162372*x319 + x321 + x323 =E= 0;

e11..  - 443.128162372*x325 + x327 + x329 =E= 0;

e12..  - 443.128162372*x331 + x333 + x335 =E= 0;

e13..  - 443.128162372*x337 + x339 + x341 =E= 0;

e14..  - 443.128162372*x343 + x345 + x347 =E= 0;

e15..  - 443.128162372*x349 + x351 + x353 =E= 0;

e16..  - 443.128162372*x355 + x357 + x359 =E= 0;

e17..  - 443.128162372*x361 + x363 + x365 =E= 0;

e18..  - 443.128162372*x367 + x369 + x371 =E= 0;

e19..  - 443.128162372*x373 + x606 + x607 =E= 0;

e20..  - 443.128162372*x608 + x609 + x610 =E= 0;

e21..  - 443.128162372*x611 + x612 + x613 =E= 0;

e22..  - 443.128162372*x614 + x615 + x616 =E= 0;

e23..    x62 + x63 - 443.128162372*x617 =E= 0;

e24..  - 443.128162372*x64 + x65 + x66 =E= 0;

e25..  - 443.128162372*x67 + x68 + x69 =E= 0;

e26..  - 443.128162372*x70 + x71 + x72 =E= 0;

e27..  - 443.128162372*x73 + x74 + x75 =E= 0;

e28..  - 443.128162372*x76 + x77 + x78 =E= 0;

e29..  - 443.128162372*x79 + x80 + x81 =E= 0;

e30..    x82 + x83 =E= 413.764247971;

e31..    x84 + x85 =E= 413.764247971;

e32..    x86 + x87 =E= 413.764247971;

e33..    x88 + x89 =E= 413.764247971;

e34..    x90 + x91 =E= 106.777870451;

e35..    x92 + x93 =E= 106.777870451;

e36..    x94 + x95 =E= 106.777870451;

e37..    x96 + x97 =E= 106.777870451;

e38..    x98 + x99 =E= 106.777870451;

e39..    x100 + x101 =E= 106.777870451;

e40..    x102 + x103 =E= 106.777870451;

e41..    x104 + x105 =E= 106.777870451;

e42..    x106 + x107 =E= 106.777870451;

e43..    x108 + x109 =E= 106.777870451;

e44..    x110 + x111 =E= 106.777870451;

e45..    x112 + x113 =E= 106.777870451;

e46..    x114 + x115 =E= 106.777870452;

e47..    x116 + x117 =E= 106.777870452;

e48..    x118 + x119 =E= 106.777870452;

e49..    x120 + x121 =E= 106.777870452;

e50..  - x122 + x123 =E= 0;

e51..  - x124 + x125 =E= 0;

e52..  - x126 + x127 =E= 0;

e53..  - x128 + x129 =E= 0;

e54..    x122 - x130 - x131 - x132 =E= 0;

e55..    x124 - x133 - x134 - x135 =E= 0;

e56..    x126 - x136 - x137 - x138 =E= 0;

e57..    x128 - x139 - x140 - x141 =E= 0;

e58..    x142 =E= 0.025;

e59..    x143 =E= 0.025;

e60..    x144 =E= 0.025;

e61..    x145 =E= 0.025;

e62..    x146 =E= 0.013;

e63..    x147 =E= 0.012;

e64..    x148 =E= 0.007;

e65..    x149 =E= 0.001;

e66..    x150 + x151 - x152 =E= 0;

e67..    x153 + x154 - x155 =E= 0;

e68..    x156 + x157 - x158 =E= 0;

e69..    x159 + x160 - x161 =E= 0;

e70..    x132 - x150 + x162 - x163 =E= 0;

e71..    x135 - x153 + x164 - x165 =E= 0;

e72..    x138 - x156 + x166 - x167 =E= 0;

e73..    x141 - x159 + x168 - x169 =E= 0;

e74..    x131 - x170 =E= 0;

e75..    x134 - x171 =E= 0;

e76..    x137 - x172 =E= 0;

e77..    x140 - x173 =E= 0;

e78..    x152 + x174 + x175 + x176 - x177 - x178 =E= 0;

e79..    x155 + x179 + x180 + x181 - x182 - x183 =E= 0;

e80..    x158 + x184 + x185 + x186 - x187 - x188 =E= 0;

e81..    x161 + x189 + x190 + x191 - x192 - x193 =E= 0;

e82..  - x142 + x163 + x170 - x194 =E= 0;

e83..  - x143 + x165 + x171 - x195 =E= 0;

e84..  - x144 + x167 + x172 - x196 =E= 0;

e85..  - x145 + x169 + x173 - x197 =E= 0;

e86..  - x146 - x151 + x194 =E= 0;

e87..  - x147 - x154 + x195 =E= 0;

e88..  - x148 - x157 + x196 =E= 0;

e89..  - x149 - x160 + x197 =E= 0;

e90..    x130 - x162 =E= 0;

e91..    x133 - x164 =E= 0;

e92..    x136 - x166 =E= 0;

e93..    x139 - x168 =E= 0;

e94..  - x198 =E= 0.1624;

e95..  - x199 =E= 0.1616;

e96..  - x200 =E= 0.0912;

e97..  - x201 =E= 0.0952;

e98..    x198 - x202 + x203 =E= 0;

e99..    x199 - x204 + x205 =E= 0;

e100..    x200 - x206 + x207 =E= 0;

e101..    x201 - x208 + x209 =E= 0;

e102..    x210 + x211 - x212 =E= 0;

e103..    x213 + x214 - x215 =E= 0;

e104..    x216 + x217 - x218 =E= 0;

e105..    x219 + x220 - x221 =E= 0;

e106..    x212 + x222 - x223 =E= 0;

e107..    x215 + x224 - x225 =E= 0;

e108..    x218 + x226 - x227 =E= 0;

e109..    x221 + x228 - x229 =E= 0;

e110..  - x222 - x230 =E= 0.0138888888888889;

e111..  - x224 - x231 =E= 0.0138888888888889;

e112..  - x226 - x232 =E= 0.0138888888888889;

e113..  - x228 - x233 =E= 0.0138888888888889;

e114..  - x175 + x230 - x234 =E= 0;

e115..  - x180 + x231 - x235 =E= 0;

e116..  - x185 + x232 - x236 =E= 0;

e117..  - x190 + x233 - x237 =E= 0;

e118..    x238 =E= 0;

e119..    x239 =E= 0;

e120..    x240 =E= 0;

e121..    x241 =E= 0;

e122..  - x176 + x223 =E= 0;

e123..  - x181 + x225 =E= 0;

e124..  - x186 + x227 =E= 0;

e125..  - x191 + x229 =E= 0;

e126..  - x174 - x203 =E= 0;

e127..  - x179 - x205 =E= 0;

e128..  - x184 - x207 =E= 0;

e129..  - x189 - x209 =E= 0;

e130..  - x123 + x242 =E= 0;

e131..  - x125 + x243 =E= 0;

e132..  - x127 + x244 =E= 0;

e133..  - x129 + x245 =E= 0;

e134..    3600*x202 + 239.978718892*x246 - 239.978718892*x247 =E= 0;

e135..    3600*x204 + 239.978718892*x248 - 239.978718892*x249 =E= 0;

e136..    3600*x206 + 239.978718892*x250 - 239.978718892*x251 =E= 0;

e137..    3600*x208 + 239.978718892*x252 - 239.978718892*x253 =E= 0;

e138..    3600*x177 - 3600*x210 + 416.560177655*x254 - 416.560177655*x255 =E= 0
       ;

e139..    3600*x182 - 3600*x213 + 416.560177655*x256 - 416.560177655*x257 =E= 0
       ;

e140..    3600*x187 - 3600*x216 + 416.560177655*x258 - 416.560177655*x259 =E= 0
       ;

e141..    3600*x192 - 3600*x219 + 416.560177655*x260 - 416.560177655*x261 =E= 0
       ;

e142..    3600*x178 - 3600*x211 + 416.560177655*x262 - 416.560177655*x263 =E= 0
       ;

e143..    3600*x183 - 3600*x214 + 416.560177655*x264 - 416.560177655*x265 =E= 0
       ;

e144..    3600*x188 - 3600*x217 + 416.560177655*x266 - 416.560177655*x267 =E= 0
       ;

e145..    3600*x193 - 3600*x220 + 416.560177655*x268 - 416.560177655*x269 =E= 0
       ;

e146..    3600*x234 - 3600*x238 + 165.129961038*x270 - 165.129961038*x271 =E= 0
       ;

e147..    3600*x235 - 3600*x239 + 165.129961038*x272 - 165.129961038*x273 =E= 0
       ;

e148..    3600*x236 - 3600*x240 + 165.129961038*x274 - 165.129961038*x275 =E= 0
       ;

e149..    3600*x237 - 3600*x241 + 165.129961038*x276 - 165.129961038*x277 =E= 0
       ;

e150..  - x247 + x248 =E= 0;

e151..  - x249 + x250 =E= 0;

e152..  - x251 + x252 =E= 0;

e153..  - x255 + x256 =E= 0;

e154..  - x257 + x258 =E= 0;

e155..  - x259 + x260 =E= 0;

e156..  - x263 + x264 =E= 0;

e157..  - x265 + x266 =E= 0;

e158..  - x267 + x268 =E= 0;

e159..  - x271 + x272 =E= 0;

e160..  - x273 + x274 =E= 0;

e161..  - x275 + x276 =E= 0;

e162..  - 0.037494*b2 + x278 =G= 0;

e163..  - 0.037494*b3 + x280 =G= 0;

e164..  - 0.037494*b4 + x282 =G= 0;

e165..  - 0.037494*b5 + x284 =G= 0;

e166..  - 0.074997*b6 + x286 =G= 0;

e167..  - 0.074997*b7 + x288 =G= 0;

e168..  - 0.074997*b8 + x290 =G= 0;

e169..  - 0.074997*b9 + x292 =G= 0;

e170..  - 0.074997*b10 + x294 =G= 0;

e171..  - 0.074997*b11 + x296 =G= 0;

e172..  - 0.074997*b12 + x298 =G= 0;

e173..  - 0.074997*b13 + x300 =G= 0;

e174..  - 0.074997*b14 + x302 =G= 0;

e175..  - 0.074997*b15 + x304 =G= 0;

e176..  - 0.074997*b16 + x306 =G= 0;

e177..  - 0.074997*b17 + x308 =G= 0;

e178..  - 0.074997*b18 + x310 =G= 0;

e179..  - 0.074997*b19 + x312 =G= 0;

e180..  - 0.074997*b20 + x314 =G= 0;

e181..  - 0.074997*b21 + x316 =G= 0;

e182..  - 0.074997*b22 + x318 =G= 0;

e183..  - 0.074997*b23 + x320 =G= 0;

e184..  - 0.074997*b24 + x322 =G= 0;

e185..  - 0.074997*b25 + x324 =G= 0;

e186..  - 0.074997*b26 + x326 =G= 0;

e187..  - 0.074997*b27 + x328 =G= 0;

e188..  - 0.074997*b28 + x330 =G= 0;

e189..  - 0.074997*b29 + x332 =G= 0;

e190..  - 0.037494*b30 + x334 =G= 0;

e191..  - 0.037494*b31 + x336 =G= 0;

e192..  - 0.037494*b32 + x338 =G= 0;

e193..  - 0.037494*b33 + x340 =G= 0;

e194..  - 0.097497*b34 + x342 =G= 0;

e195..  - 0.097497*b35 + x344 =G= 0;

e196..  - 0.097497*b36 + x346 =G= 0;

e197..  - 0.097497*b37 + x348 =G= 0;

e198..  - 0.097497*b38 + x350 =G= 0;

e199..  - 0.097497*b39 + x352 =G= 0;

e200..  - 0.097497*b40 + x354 =G= 0;

e201..  - 0.097497*b41 + x356 =G= 0;

e202..  - 0.097497*b42 + x358 =G= 0;

e203..  - 0.097497*b43 + x360 =G= 0;

e204..  - 0.097497*b44 + x362 =G= 0;

e205..  - 0.097497*b45 + x364 =G= 0;

e206..  - 0.058743*b46 + x366 =G= 0;

e207..  - 0.058743*b47 + x368 =G= 0;

e208..  - 0.058743*b48 + x370 =G= 0;

e209..  - 0.058743*b49 + x372 =G= 0;

e210..  - 0.045826*b2 + x278 =L= 0;

e211..  - 0.045826*b3 + x280 =L= 0;

e212..  - 0.045826*b4 + x282 =L= 0;

e213..  - 0.045826*b5 + x284 =L= 0;

e214..  - 0.091663*b6 + x286 =L= 0;

e215..  - 0.091663*b7 + x288 =L= 0;

e216..  - 0.091663*b8 + x290 =L= 0;

e217..  - 0.091663*b9 + x292 =L= 0;

e218..  - 0.091663*b10 + x294 =L= 0;

e219..  - 0.091663*b11 + x296 =L= 0;

e220..  - 0.091663*b12 + x298 =L= 0;

e221..  - 0.091663*b13 + x300 =L= 0;

e222..  - 0.091663*b14 + x302 =L= 0;

e223..  - 0.091663*b15 + x304 =L= 0;

e224..  - 0.091663*b16 + x306 =L= 0;

e225..  - 0.091663*b17 + x308 =L= 0;

e226..  - 0.091663*b18 + x310 =L= 0;

e227..  - 0.091663*b19 + x312 =L= 0;

e228..  - 0.091663*b20 + x314 =L= 0;

e229..  - 0.091663*b21 + x316 =L= 0;

e230..  - 0.091663*b22 + x318 =L= 0;

e231..  - 0.091663*b23 + x320 =L= 0;

e232..  - 0.091663*b24 + x322 =L= 0;

e233..  - 0.091663*b25 + x324 =L= 0;

e234..  - 0.091663*b26 + x326 =L= 0;

e235..  - 0.091663*b27 + x328 =L= 0;

e236..  - 0.091663*b28 + x330 =L= 0;

e237..  - 0.091663*b29 + x332 =L= 0;

e238..  - 0.045826*b30 + x334 =L= 0;

e239..  - 0.045826*b31 + x336 =L= 0;

e240..  - 0.045826*b32 + x338 =L= 0;

e241..  - 0.045826*b33 + x340 =L= 0;

e242..  - 0.119163*b34 + x342 =L= 0;

e243..  - 0.119163*b35 + x344 =L= 0;

e244..  - 0.119163*b36 + x346 =L= 0;

e245..  - 0.119163*b37 + x348 =L= 0;

e246..  - 0.119163*b38 + x350 =L= 0;

e247..  - 0.119163*b39 + x352 =L= 0;

e248..  - 0.119163*b40 + x354 =L= 0;

e249..  - 0.119163*b41 + x356 =L= 0;

e250..  - 0.119163*b42 + x358 =L= 0;

e251..  - 0.119163*b43 + x360 =L= 0;

e252..  - 0.119163*b44 + x362 =L= 0;

e253..  - 0.119163*b45 + x364 =L= 0;

e254..  - 0.071797*b46 + x366 =L= 0;

e255..  - 0.071797*b47 + x368 =L= 0;

e256..  - 0.071797*b48 + x370 =L= 0;

e257..  - 0.071797*b49 + x372 =L= 0;

e258..  - x246 + x374 =E= 300;

e259..  - x248 + x375 =E= 300;

e260..  - x250 + x376 =E= 300;

e261..  - x252 + x377 =E= 300;

e262..  - x254 + x378 =E= 240;

e263..  - x256 + x379 =E= 240;

e264..  - x258 + x380 =E= 240;

e265..  - x260 + x381 =E= 240;

e266..  - x262 + x382 =E= 240;

e267..  - x264 + x383 =E= 240;

e268..  - x266 + x384 =E= 240;

e269..  - x268 + x385 =E= 240;

e270..  - x270 + x386 =E= 243;

e271..  - x272 + x387 =E= 243;

e272..  - x274 + x388 =E= 243;

e273..  - x276 + x389 =E= 243;

e274..    x390 - x391 - x392 =E= 0;

e275..    x393 - x394 - x395 =E= 0;

e276..    x396 - x397 - x398 =E= 0;

e277..    x399 - x400 - x401 =E= 0;

e278..    x391 - x402 - x403 =E= 0;

e279..    x394 - x404 - x405 =E= 0;

e280..    x397 - x406 - x407 =E= 0;

e281..    x400 - x408 - x409 =E= 0;

e282..    x391 - x410 - x411 =E= 0;

e283..    x394 - x412 - x413 =E= 0;

e284..    x397 - x414 - x415 =E= 0;

e285..    x400 - x416 - x417 =E= 0;

e286..    x418 - x419 - x420 =E= 0;

e287..    x421 - x422 - x423 =E= 0;

e288..    x424 - x425 - x426 =E= 0;

e289..    x427 - x428 - x429 =E= 0;

e290..  - x430 + x431 - x432 =E= 0;

e291..  - x433 + x434 - x435 =E= 0;

e292..  - x436 + x437 - x438 =E= 0;

e293..  - x439 + x440 - x441 =E= 0;

e294..    x410 - x430 - x442 =E= 0;

e295..    x412 - x433 - x443 =E= 0;

e296..    x414 - x436 - x444 =E= 0;

e297..    x416 - x439 - x445 =E= 0;

e298..    x391 - x418 - x446 =E= 0;

e299..    x394 - x421 - x447 =E= 0;

e300..    x397 - x424 - x448 =E= 0;

e301..    x400 - x427 - x449 =E= 0;

e302..    x419 - x431 - x450 =E= 0;

e303..    x422 - x434 - x451 =E= 0;

e304..    x425 - x437 - x452 =E= 0;

e305..    x428 - x440 - x453 =E= 0;

e306..    x402 - x410 - x454 =E= 0;

e307..    x404 - x412 - x455 =E= 0;

e308..    x406 - x414 - x456 =E= 0;

e309..    x408 - x416 - x457 =E= 0;

e310..    x410 - x419 - x458 =E= 0;

e311..    x412 - x422 - x459 =E= 0;

e312..    x414 - x425 - x460 =E= 0;

e313..    x416 - x428 - x461 =E= 0;

e314..    x419 - x462 - x463 =E= 0;

e315..    x422 - x464 - x465 =E= 0;

e316..    x425 - x466 - x467 =E= 0;

e317..    x428 - x468 - x469 =E= 0;

e318..    x431 - x470 - x471 =E= 0;

e319..    x434 - x472 - x473 =E= 0;

e320..    x437 - x474 - x475 =E= 0;

e321..    x440 - x476 - x477 =E= 0;

e322..  - x478 + x479 - x480 =E= 0;

e323..  - x481 + x482 - x483 =E= 0;

e324..  - x484 + x485 - x486 =E= 0;

e325..  - x487 + x488 - x489 =E= 0;

e326..  - x490 + x491 - x492 =E= 0;

e327..  - x493 + x494 - x495 =E= 0;

e328..  - x496 + x497 - x498 =E= 0;

e329..  - x499 + x500 - x501 =E= 0;

e330..  - x374 + x490 - x502 =E= 0;

e331..  - x375 + x493 - x503 =E= 0;

e332..  - x376 + x496 - x504 =E= 0;

e333..  - x377 + x499 - x505 =E= 0;

e334..    x378 - x506 - x507 =E= 0;

e335..    x379 - x508 - x509 =E= 0;

e336..    x380 - x510 - x511 =E= 0;

e337..    x381 - x512 - x513 =E= 0;

e338..    x382 - x506 - x514 =E= 0;

e339..    x383 - x508 - x515 =E= 0;

e340..    x384 - x510 - x516 =E= 0;

e341..    x385 - x512 - x517 =E= 0;

e342..  - x518 + x519 - x520 =E= 0;

e343..  - x521 + x522 - x523 =E= 0;

e344..  - x524 + x525 - x526 =E= 0;

e345..  - x527 + x528 - x529 =E= 0;

e346..  - x478 + x530 - x531 =E= 0;

e347..  - x481 + x532 - x533 =E= 0;

e348..  - x484 + x534 - x535 =E= 0;

e349..  - x487 + x536 - x537 =E= 0;

e350..    x519 - x530 - x538 =E= 0;

e351..    x522 - x532 - x539 =E= 0;

e352..    x525 - x534 - x540 =E= 0;

e353..    x528 - x536 - x541 =E= 0;

e354..  - x478 + x542 - x543 =E= 0;

e355..  - x481 + x544 - x545 =E= 0;

e356..  - x484 + x546 - x547 =E= 0;

e357..  - x487 + x548 - x549 =E= 0;

e358..    x386 - x550 - x551 =E= 0;

e359..    x387 - x552 - x553 =E= 0;

e360..    x388 - x554 - x555 =E= 0;

e361..    x389 - x556 - x557 =E= 0;

e362..    x390 - x558 - x559 =E= 0;

e363..    x393 - x560 - x561 =E= 0;

e364..    x396 - x562 - x563 =E= 0;

e365..    x399 - x564 - x565 =E= 0;

e366..  - x506 + x518 - x566 =E= 0;

e367..  - x508 + x521 - x567 =E= 0;

e368..  - x510 + x524 - x568 =E= 0;

e369..  - x512 + x527 - x569 =E= 0;

e370..  - 239.978718892*x246 + 239.978718892*x253 - 416.560177655*x254
        + 416.560177655*x261 - 416.560177655*x262 + 416.560177655*x269
        - 165.129961038*x270 + 165.129961038*x277 =G= 0;

e371..    b2 - b30 =G= 0;

e372..    b3 - b31 =G= 0;

e373..    b4 - b32 =G= 0;

e374..    b5 - b33 =G= 0;

e375..    b6 - b10 =G= 0;

e376..    b7 - b11 =G= 0;

e377..    b8 - b12 =G= 0;

e378..    b9 - b13 =G= 0;

e379..    b10 - b14 =G= 0;

e380..    b11 - b15 =G= 0;

e381..    b12 - b16 =G= 0;

e382..    b13 - b17 =G= 0;

e383..    b14 - b18 =G= 0;

e384..    b15 - b19 =G= 0;

e385..    b16 - b20 =G= 0;

e386..    b17 - b21 =G= 0;

e387..    b18 - b22 =G= 0;

e388..    b19 - b23 =G= 0;

e389..    b20 - b24 =G= 0;

e390..    b21 - b25 =G= 0;

e391..    b22 - b26 =G= 0;

e392..    b23 - b27 =G= 0;

e393..    b24 - b28 =G= 0;

e394..    b25 - b29 =G= 0;

e395..    b34 - b38 =G= 0;

e396..    b35 - b39 =G= 0;

e397..    b36 - b40 =G= 0;

e398..    b37 - b41 =G= 0;

e399..    b38 - b42 =G= 0;

e400..    b39 - b43 =G= 0;

e401..    b40 - b44 =G= 0;

e402..    b41 - b45 =G= 0;

e403..    x123 - x278 - x286 - x294 - x302 - x310 - x318 - x326 - x334 =E= 0;

e404..    x125 - x280 - x288 - x296 - x304 - x312 - x320 - x328 - x336 =E= 0;

e405..    x127 - x282 - x290 - x298 - x306 - x314 - x322 - x330 - x338 =E= 0;

e406..    x129 - x284 - x292 - x300 - x308 - x316 - x324 - x332 - x340 =E= 0;

e407..    x212 - x342 - x350 - x358 - x366 =E= 0;

e408..    x215 - x344 - x352 - x360 - x368 =E= 0;

e409..    x218 - x346 - x354 - x362 - x370 =E= 0;

e410..    x221 - x348 - x356 - x364 - x372 =E= 0;

e411..  - 712.572602172813*b2 + x279 - x559 =G= -712.572602172813;

e412..  - 712.572602172813*b3 + x283 - x561 =G= -712.572602172813;

e413..  - 712.572602172813*b4 + x287 - x563 =G= -712.572602172813;

e414..  - 712.572602172813*b5 + x291 - x565 =G= -712.572602172813;

e415..  - 851.700667228731*b6 + x297 - x559 =G= -851.700667228731;

e416..  - 851.700667228731*b7 + x303 - x561 =G= -851.700667228731;

e417..  - 851.700667228731*b8 + x309 - x563 =G= -851.700667228731;

e418..  - 851.700667228731*b9 + x315 - x565 =G= -851.700667228731;

e419..  - 851.700667228731*b10 + x321 - x559 =G= -851.700667228731;

e420..  - 851.700667228731*b11 + x327 - x561 =G= -851.700667228731;

e421..  - 851.700667228731*b12 + x333 - x563 =G= -851.700667228731;

e422..  - 851.700667228731*b13 + x339 - x565 =G= -851.700667228731;

e423..  - 851.700667228731*b14 + x345 - x559 =G= -851.700667228731;

e424..  - 851.700667228731*b15 + x351 - x561 =G= -851.700667228731;

e425..  - 851.700667228731*b16 + x357 - x563 =G= -851.700667228731;

e426..  - 851.700667228731*b17 + x363 - x565 =G= -851.700667228731;

e427..  - 851.700667228731*b18 + x369 - x559 =G= -851.700667228731;

e428..  - 851.700667228731*b19 - x561 + x606 =G= -851.700667228731;

e429..  - 851.700667228731*b20 - x563 + x609 =G= -851.700667228731;

e430..  - 851.700667228731*b21 - x565 + x612 =G= -851.700667228731;

e431..  - 851.700667228731*b22 - x559 + x615 =G= -851.700667228731;

e432..  - 851.700667228731*b23 + x62 - x561 =G= -851.700667228731;

e433..  - 851.700667228731*b24 + x65 - x563 =G= -851.700667228731;

e434..  - 851.700667228731*b25 + x68 - x565 =G= -851.700667228731;

e435..  - 851.700667228731*b26 + x71 - x559 =G= -851.700667228731;

e436..  - 851.700667228731*b27 + x74 - x561 =G= -851.700667228731;

e437..  - 851.700667228731*b28 + x77 - x563 =G= -851.700667228731;

e438..  - 851.700667228731*b29 + x80 - x565 =G= -851.700667228731;

e439..  - 712.572602172813*b30 + x82 - x559 =G= -712.572602172813;

e440..  - 712.572602172813*b31 + x84 - x561 =G= -712.572602172813;

e441..  - 712.572602172813*b32 + x86 - x563 =G= -712.572602172813;

e442..  - 712.572602172813*b33 + x88 - x565 =G= -712.572602172813;

e443..  - 925.825187656153*b34 + x90 - x566 =G= -925.825187656153;

e444..  - 925.825187656153*b35 + x92 - x567 =G= -925.825187656153;

e445..  - 925.825187656153*b36 + x94 - x568 =G= -925.825187656153;

e446..  - 925.825187656153*b37 + x96 - x569 =G= -925.825187656153;

e447..  - 925.825187656153*b38 + x98 - x566 =G= -925.825187656153;

e448..  - 925.825187656153*b39 + x100 - x567 =G= -925.825187656153;

e449..  - 925.825187656153*b40 + x102 - x568 =G= -925.825187656153;

e450..  - 925.825187656153*b41 + x104 - x569 =G= -925.825187656153;

e451..  - 925.825187656153*b42 + x106 - x566 =G= -925.825187656153;

e452..  - 925.825187656153*b43 + x108 - x567 =G= -925.825187656153;

e453..  - 925.825187656153*b44 + x110 - x568 =G= -925.825187656153;

e454..  - 925.825187656153*b45 + x112 - x569 =G= -925.825187656153;

e455..  - 925.825187656502*b46 + x114 - x566 =G= -925.825187656502;

e456..  - 925.825187656502*b47 + x116 - x567 =G= -925.825187656502;

e457..  - 925.825187656502*b48 + x118 - x568 =G= -925.825187656502;

e458..  - 925.825187656502*b49 + x120 - x569 =G= -925.825187656502;

e459..    447.864247971*b2 + x279 - x559 =L= 447.864247971;

e460..    447.864247971*b3 + x283 - x561 =L= 447.864247971;

e461..    447.864247971*b4 + x287 - x563 =L= 447.864247971;

e462..    447.864247971*b5 + x291 - x565 =L= 447.864247971;

e463..    672.20455381568*b6 + x297 - x559 =L= 672.20455381568;

e464..    672.20455381568*b7 + x303 - x561 =L= 672.20455381568;

e465..    672.20455381568*b8 + x309 - x563 =L= 672.20455381568;

e466..    672.20455381568*b9 + x315 - x565 =L= 672.20455381568;

e467..    672.20455381568*b10 + x321 - x559 =L= 672.20455381568;

e468..    672.20455381568*b11 + x327 - x561 =L= 672.20455381568;

e469..    672.20455381568*b12 + x333 - x563 =L= 672.20455381568;

e470..    672.20455381568*b13 + x339 - x565 =L= 672.20455381568;

e471..    672.20455381568*b14 + x345 - x559 =L= 672.20455381568;

e472..    672.20455381568*b15 + x351 - x561 =L= 672.20455381568;

e473..    672.20455381568*b16 + x357 - x563 =L= 672.20455381568;

e474..    672.20455381568*b17 + x363 - x565 =L= 672.20455381568;

e475..    672.20455381568*b18 + x369 - x559 =L= 672.20455381568;

e476..    672.20455381568*b19 - x561 + x606 =L= 672.20455381568;

e477..    672.20455381568*b20 - x563 + x609 =L= 672.20455381568;

e478..    672.20455381568*b21 - x565 + x612 =L= 672.20455381568;

e479..    672.20455381568*b22 - x559 + x615 =L= 672.20455381568;

e480..    672.20455381568*b23 + x62 - x561 =L= 672.20455381568;

e481..    672.20455381568*b24 + x65 - x563 =L= 672.20455381568;

e482..    672.20455381568*b25 + x68 - x565 =L= 672.20455381568;

e483..    672.20455381568*b26 + x71 - x559 =L= 672.20455381568;

e484..    672.20455381568*b27 + x74 - x561 =L= 672.20455381568;

e485..    672.20455381568*b28 + x77 - x563 =L= 672.20455381568;

e486..    672.20455381568*b29 + x80 - x565 =L= 672.20455381568;

e487..    447.864247971*b30 + x82 - x559 =L= 447.864247971;

e488..    447.864247971*b31 + x84 - x561 =L= 447.864247971;

e489..    447.864247971*b32 + x86 - x563 =L= 447.864247971;

e490..    447.864247971*b33 + x88 - x565 =L= 447.864247971;

e491..    1106.777870451*b34 + x90 - x566 =L= 1106.777870451;

e492..    1106.777870451*b35 + x92 - x567 =L= 1106.777870451;

e493..    1106.777870451*b36 + x94 - x568 =L= 1106.777870451;

e494..    1106.777870451*b37 + x96 - x569 =L= 1106.777870451;

e495..    1106.777870451*b38 + x98 - x566 =L= 1106.777870451;

e496..    1106.777870451*b39 + x100 - x567 =L= 1106.777870451;

e497..    1106.777870451*b40 + x102 - x568 =L= 1106.777870451;

e498..    1106.777870451*b41 + x104 - x569 =L= 1106.777870451;

e499..    1106.777870451*b42 + x106 - x566 =L= 1106.777870451;

e500..    1106.777870451*b43 + x108 - x567 =L= 1106.777870451;

e501..    1106.777870451*b44 + x110 - x568 =L= 1106.777870451;

e502..    1106.777870451*b45 + x112 - x569 =L= 1106.777870451;

e503..    1106.777870452*b46 + x114 - x566 =L= 1106.777870452;

e504..    1106.777870452*b47 + x116 - x567 =L= 1106.777870452;

e505..    1106.777870452*b48 + x118 - x568 =L= 1106.777870452;

e506..    1106.777870452*b49 + x120 - x569 =L= 1106.777870452;

e507..    b2 - b3 + x570 =G= 0;

e508..    b3 - b4 + x571 =G= 0;

e509..    b4 - b5 + x572 =G= 0;

e510..    b6 - b7 + x573 =G= 0;

e511..    b7 - b8 + x574 =G= 0;

e512..    b8 - b9 + x575 =G= 0;

e513..    b10 - b11 + x576 =G= 0;

e514..    b11 - b12 + x577 =G= 0;

e515..    b12 - b13 + x578 =G= 0;

e516..    b14 - b15 + x579 =G= 0;

e517..    b15 - b16 + x580 =G= 0;

e518..    b16 - b17 + x581 =G= 0;

e519..    b18 - b19 + x582 =G= 0;

e520..    b19 - b20 + x583 =G= 0;

e521..    b20 - b21 + x584 =G= 0;

e522..    b22 - b23 + x585 =G= 0;

e523..    b23 - b24 + x586 =G= 0;

e524..    b24 - b25 + x587 =G= 0;

e525..    b26 - b27 + x588 =G= 0;

e526..    b27 - b28 + x589 =G= 0;

e527..    b28 - b29 + x590 =G= 0;

e528..    b30 - b31 + x591 =G= 0;

e529..    b31 - b32 + x592 =G= 0;

e530..    b32 - b33 + x593 =G= 0;

e531..    b34 - b35 + x594 =G= 0;

e532..    b35 - b36 + x595 =G= 0;

e533..    b36 - b37 + x596 =G= 0;

e534..    b38 - b39 + x597 =G= 0;

e535..    b39 - b40 + x598 =G= 0;

e536..    b40 - b41 + x599 =G= 0;

e537..    b42 - b43 + x600 =G= 0;

e538..    b43 - b44 + x601 =G= 0;

e539..    b44 - b45 + x602 =G= 0;

e540..    b46 - b47 + x603 =G= 0;

e541..    b47 - b48 + x604 =G= 0;

e542..    b48 - b49 + x605 =G= 0;

e543..  - b2 + b3 + x570 =G= 0;

e544..  - b3 + b4 + x571 =G= 0;

e545..  - b4 + b5 + x572 =G= 0;

e546..  - b6 + b7 + x573 =G= 0;

e547..  - b7 + b8 + x574 =G= 0;

e548..  - b8 + b9 + x575 =G= 0;

e549..  - b10 + b11 + x576 =G= 0;

e550..  - b11 + b12 + x577 =G= 0;

e551..  - b12 + b13 + x578 =G= 0;

e552..  - b14 + b15 + x579 =G= 0;

e553..  - b15 + b16 + x580 =G= 0;

e554..  - b16 + b17 + x581 =G= 0;

e555..  - b18 + b19 + x582 =G= 0;

e556..  - b19 + b20 + x583 =G= 0;

e557..  - b20 + b21 + x584 =G= 0;

e558..  - b22 + b23 + x585 =G= 0;

e559..  - b23 + b24 + x586 =G= 0;

e560..  - b24 + b25 + x587 =G= 0;

e561..  - b26 + b27 + x588 =G= 0;

e562..  - b27 + b28 + x589 =G= 0;

e563..  - b28 + b29 + x590 =G= 0;

e564..  - b30 + b31 + x591 =G= 0;

e565..  - b31 + b32 + x592 =G= 0;

e566..  - b32 + b33 + x593 =G= 0;

e567..  - b34 + b35 + x594 =G= 0;

e568..  - b35 + b36 + x595 =G= 0;

e569..  - b36 + b37 + x596 =G= 0;

e570..  - b38 + b39 + x597 =G= 0;

e571..  - b39 + b40 + x598 =G= 0;

e572..  - b40 + b41 + x599 =G= 0;

e573..  - b42 + b43 + x600 =G= 0;

e574..  - b43 + b44 + x601 =G= 0;

e575..  - b44 + b45 + x602 =G= 0;

e576..  - b46 + b47 + x603 =G= 0;

e577..  - b47 + b48 + x604 =G= 0;

e578..  - b48 + b49 + x605 =G= 0;

e579..  - 5*b50 + x152 =L= 0;

e580..  - 5*b51 + x155 =L= 0;

e581..  - 5*b52 + x158 =L= 0;

e582..  - 5*b53 + x161 =L= 0;

e583..  - 5*b54 + x223 =L= 0;

e584..  - 5*b55 + x225 =L= 0;

e585..  - 5*b56 + x227 =L= 0;

e586..  - 5*b57 + x229 =L= 0;

e587..  - 5*b58 + x203 =L= 0;

e588..  - 5*b59 + x205 =L= 0;

e589..  - 5*b60 + x207 =L= 0;

e590..  - 5*b61 + x209 =L= 0;

e591..  - 1000*b50 + x430 - x478 =G= -1000;

e592..  - 1000*b51 + x433 - x481 =G= -1000;

e593..  - 1000*b52 + x436 - x484 =G= -1000;

e594..  - 1000*b53 + x439 - x487 =G= -1000;

e595..  - 1000*b54 + x518 - x542 =G= -1000;

e596..  - 1000*b55 + x521 - x544 =G= -1000;

e597..  - 1000*b56 + x524 - x546 =G= -1000;

e598..  - 1000*b57 + x527 - x548 =G= -1000;

e599..  - 1000*b58 + x479 - x490 =G= -1000;

e600..  - 1000*b59 + x482 - x493 =G= -1000;

e601..  - 1000*b60 + x485 - x496 =G= -1000;

e602..  - 1000*b61 + x488 - x499 =G= -1000;

e603..  - 1000*b50 + x430 - x478 =L= 0;

e604..  - 1000*b51 + x433 - x481 =L= 0;

e605..  - 1000*b52 + x436 - x484 =L= 0;

e606..  - 1000*b53 + x439 - x487 =L= 0;

e607..  - 1000*b54 + x518 - x542 =L= 0;

e608..  - 1000*b55 + x521 - x544 =L= 0;

e609..  - 1000*b56 + x524 - x546 =L= 0;

e610..  - 1000*b57 + x527 - x548 =L= 0;

e611..  - 1000*b58 + x479 - x490 =L= 0;

e612..  - 1000*b59 + x482 - x493 =L= 0;

e613..  - 1000*b60 + x485 - x496 =L= 0;

e614..  - 1000*b61 + x488 - x499 =L= 0;

e615..  - x378 + x478 =G= 60;

e616..  - x379 + x481 =G= 60;

e617..  - x380 + x484 =G= 60;

e618..  - x381 + x487 =G= 60;

e619..  - x382 + x478 =G= 60;

e620..  - x383 + x481 =G= 60;

e621..  - x384 + x484 =G= 60;

e622..  - x385 + x487 =G= 60;

e623..  - x386 + x530 =G= 50;

e624..  - x387 + x532 =G= 50;

e625..  - x388 + x534 =G= 50;

e626..  - x389 + x536 =G= 50;

e627.. 60159.7666785*sqr(x278) - x281 =E= 0;

e628.. 60159.7666785*sqr(x280) - x285 =E= 0;

e629.. 60159.7666785*sqr(x282) - x289 =E= 0;

e630.. 60159.7666785*sqr(x284) - x293 =E= 0;

e631.. 16103.4266989*sqr(x286) - x299 =E= 0;

e632.. 16103.4266989*sqr(x288) - x305 =E= 0;

e633.. 16103.4266989*sqr(x290) - x311 =E= 0;

e634.. 16103.4266989*sqr(x292) - x317 =E= 0;

e635.. 16103.4266989*sqr(x294) - x323 =E= 0;

e636.. 16103.4266989*sqr(x296) - x329 =E= 0;

e637.. 16103.4266989*sqr(x298) - x335 =E= 0;

e638.. 16103.4266989*sqr(x300) - x341 =E= 0;

e639.. 16103.4266989*sqr(x302) - x347 =E= 0;

e640.. 16103.4266989*sqr(x304) - x353 =E= 0;

e641.. 16103.4266989*sqr(x306) - x359 =E= 0;

e642.. 16103.4266989*sqr(x308) - x365 =E= 0;

e643.. 16103.4266989*sqr(x310) - x371 =E= 0;

e644.. 16103.4266989*sqr(x312) - x607 =E= 0;

e645.. 16103.4266989*sqr(x314) - x610 =E= 0;

e646.. 16103.4266989*sqr(x316) - x613 =E= 0;

e647.. 16103.4266989*sqr(x318) - x616 =E= 0;

e648.. 16103.4266989*sqr(x320) - x63 =E= 0;

e649.. 16103.4266989*sqr(x322) - x66 =E= 0;

e650.. 16103.4266989*sqr(x324) - x69 =E= 0;

e651.. 16103.4266989*sqr(x326) - x72 =E= 0;

e652.. 16103.4266989*sqr(x328) - x75 =E= 0;

e653.. 16103.4266989*sqr(x330) - x78 =E= 0;

e654.. 16103.4266989*sqr(x332) - x81 =E= 0;

e655.. 60159.7666785*sqr(x334) - x83 =E= 0;

e656.. 60159.7666785*sqr(x336) - x85 =E= 0;

e657.. 60159.7666785*sqr(x338) - x87 =E= 0;

e658.. 60159.7666785*sqr(x340) - x89 =E= 0;

e659.. 2296.01902001*sqr(x342) - x91 =E= 0;

e660.. 2296.01902001*sqr(x344) - x93 =E= 0;

e661.. 2296.01902001*sqr(x346) - x95 =E= 0;

e662.. 2296.01902001*sqr(x348) - x97 =E= 0;

e663.. 2296.01902001*sqr(x350) - x99 =E= 0;

e664.. 2296.01902001*sqr(x352) - x101 =E= 0;

e665.. 2296.01902001*sqr(x354) - x103 =E= 0;

e666.. 2296.01902001*sqr(x356) - x105 =E= 0;

e667.. 2296.01902001*sqr(x358) - x107 =E= 0;

e668.. 2296.01902001*sqr(x360) - x109 =E= 0;

e669.. 2296.01902001*sqr(x362) - x111 =E= 0;

e670.. 2296.01902001*sqr(x364) - x113 =E= 0;

e671.. 6324.78464025*sqr(x366) - x115 =E= 0;

e672.. 6324.78464025*sqr(x368) - x117 =E= 0;

e673.. 6324.78464025*sqr(x370) - x119 =E= 0;

e674.. 6324.78464025*sqr(x372) - x121 =E= 0;

e675.. 2.4525*x278*x279 - x618 =L= 0;

e676.. 2.4525*x280*x283 - x619 =L= 0;

e677.. 2.4525*x282*x287 - x620 =L= 0;

e678.. 2.4525*x284*x291 - x621 =L= 0;

e679.. 2.4525*x286*x297 - x622 =L= 0;

e680.. 2.4525*x288*x303 - x623 =L= 0;

e681.. 2.4525*x290*x309 - x624 =L= 0;

e682.. 2.4525*x292*x315 - x625 =L= 0;

e683.. 2.4525*x294*x321 - x626 =L= 0;

e684.. 2.4525*x296*x327 - x627 =L= 0;

e685.. 2.4525*x298*x333 - x628 =L= 0;

e686.. 2.4525*x300*x339 - x629 =L= 0;

e687.. 2.4525*x302*x345 - x630 =L= 0;

e688.. 2.4525*x304*x351 - x631 =L= 0;

e689.. 2.4525*x306*x357 - x632 =L= 0;

e690.. 2.4525*x308*x363 - x633 =L= 0;

e691.. 2.4525*x310*x369 - x634 =L= 0;

e692.. 2.4525*x312*x606 - x635 =L= 0;

e693.. 2.4525*x314*x609 - x636 =L= 0;

e694.. 2.4525*x316*x612 - x637 =L= 0;

e695.. 2.4525*x318*x615 - x638 =L= 0;

e696.. 2.4525*x62*x320 - x639 =L= 0;

e697.. 2.4525*x65*x322 - x640 =L= 0;

e698.. 2.4525*x68*x324 - x641 =L= 0;

e699.. 2.4525*x71*x326 - x642 =L= 0;

e700.. 2.4525*x74*x328 - x643 =L= 0;

e701.. 2.4525*x77*x330 - x644 =L= 0;

e702.. 2.4525*x80*x332 - x645 =L= 0;

e703.. 2.4525*x82*x334 - x646 =L= 0;

e704.. 2.4525*x84*x336 - x647 =L= 0;

e705.. 2.4525*x86*x338 - x648 =L= 0;

e706.. 2.4525*x88*x340 - x649 =L= 0;

e707.. 2.4525*x90*x342 - x650 =L= 0;

e708.. 2.4525*x92*x344 - x651 =L= 0;

e709.. 2.4525*x94*x346 - x652 =L= 0;

e710.. 2.4525*x96*x348 - x653 =L= 0;

e711.. 2.4525*x98*x350 - x654 =L= 0;

e712.. 2.4525*x100*x352 - x655 =L= 0;

e713.. 2.4525*x102*x354 - x656 =L= 0;

e714.. 2.4525*x104*x356 - x657 =L= 0;

e715.. 2.4525*x106*x358 - x658 =L= 0;

e716.. 2.4525*x108*x360 - x659 =L= 0;

e717.. 2.4525*x110*x362 - x660 =L= 0;

e718.. 2.4525*x112*x364 - x661 =L= 0;

e719.. 2.4525*x114*x366 - x662 =L= 0;

e720.. 2.4525*x116*x368 - x663 =L= 0;

e721.. 2.4525*x118*x370 - x664 =L= 0;

e722.. 2.4525*x120*x372 - x665 =L= 0;

e723.. SignPower(x122,2) - 0.107595782151047*x392 =E= 0;

e724.. SignPower(x124,2) - 0.107595782151047*x395 =E= 0;

e725.. SignPower(x126,2) - 0.107595782151047*x398 =E= 0;

e726.. SignPower(x128,2) - 0.107595782151047*x401 =E= 0;

e727.. SignPower(x130,2) - 0.000240846101592208*x403 =E= 0;

e728.. SignPower(x133,2) - 0.000240846101592208*x405 =E= 0;

e729.. SignPower(x136,2) - 0.000240846101592208*x407 =E= 0;

e730.. SignPower(x139,2) - 0.000240846101592208*x409 =E= 0;

e731.. SignPower(x132,2) - 0.0011039398274554*x411 =E= 0;

e732.. SignPower(x135,2) - 0.0011039398274554*x413 =E= 0;

e733.. SignPower(x138,2) - 0.0011039398274554*x415 =E= 0;

e734.. SignPower(x141,2) - 0.0011039398274554*x417 =E= 0;

e735.. SignPower(x170,2) - 0.0147658094299242*x420 =E= 0;

e736.. SignPower(x171,2) - 0.0147658094299242*x423 =E= 0;

e737.. SignPower(x172,2) - 0.0147658094299242*x426 =E= 0;

e738.. SignPower(x173,2) - 0.0147658094299242*x429 =E= 0;

e739.. SignPower(x151,2) - 0.0126524872624481*x432 =E= 0;

e740.. SignPower(x154,2) - 0.0126524872624481*x435 =E= 0;

e741.. SignPower(x157,2) - 0.0126524872624481*x438 =E= 0;

e742.. SignPower(x160,2) - 0.0126524872624481*x441 =E= 0;

e743.. SignPower(x150,2) - 0.000713164667292268*x442 =E= 0;

e744.. SignPower(x153,2) - 0.000713164667292268*x443 =E= 0;

e745.. SignPower(x156,2) - 0.000713164667292268*x444 =E= 0;

e746.. SignPower(x159,2) - 0.000713164667292268*x445 =E= 0;

e747.. SignPower(x131,2) - 0.0253049745248962*x446 =E= 0;

e748.. SignPower(x134,2) - 0.0253049745248962*x447 =E= 0;

e749.. SignPower(x137,2) - 0.0253049745248962*x448 =E= 0;

e750.. SignPower(x140,2) - 0.0253049745248962*x449 =E= 0;

e751.. SignPower(x194,2) - 0.0196735206566467*x450 =E= 0;

e752.. SignPower(x195,2) - 0.0196735206566467*x451 =E= 0;

e753.. SignPower(x196,2) - 0.0196735206566467*x452 =E= 0;

e754.. SignPower(x197,2) - 0.0196735206566467*x453 =E= 0;

e755.. SignPower(x162,2) - 0.13436247753087*x454 =E= 0;

e756.. SignPower(x164,2) - 0.13436247753087*x455 =E= 0;

e757.. SignPower(x166,2) - 0.13436247753087*x456 =E= 0;

e758.. SignPower(x168,2) - 0.13436247753087*x457 =E= 0;

e759.. SignPower(x163,2) - 0.13436247753087*x458 =E= 0;

e760.. SignPower(x165,2) - 0.13436247753087*x459 =E= 0;

e761.. SignPower(x167,2) - 0.13436247753087*x460 =E= 0;

e762.. SignPower(x169,2) - 0.13436247753087*x461 =E= 0;

e763.. SignPower(x142,2) - 0.00268724955062101*x463 =E= 0;

e764.. SignPower(x143,2) - 0.00268724955062101*x465 =E= 0;

e765.. SignPower(x144,2) - 0.00268724955062101*x467 =E= 0;

e766.. SignPower(x145,2) - 0.00268724955062101*x469 =E= 0;

e767.. SignPower(x146,2) - 0.00175817654162355*x471 =E= 0;

e768.. SignPower(x147,2) - 0.00175817654162355*x473 =E= 0;

e769.. SignPower(x148,2) - 0.00175817654162355*x475 =E= 0;

e770.. SignPower(x149,2) - 0.00175817654162355*x477 =E= 0;

e771.. SignPower(x174,2) - 0.0156579704750926*x480 =E= 0;

e772.. SignPower(x179,2) - 0.0156579704750926*x483 =E= 0;

e773.. SignPower(x184,2) - 0.0156579704750926*x486 =E= 0;

e774.. SignPower(x189,2) - 0.0156579704750926*x489 =E= 0;

e775.. SignPower(x198,2) - 0.4031634796292*x492 =E= 0;

e776.. SignPower(x199,2) - 0.4031634796292*x495 =E= 0;

e777.. SignPower(x200,2) - 0.4031634796292*x498 =E= 0;

e778.. SignPower(x201,2) - 0.4031634796292*x501 =E= 0;

e779.. SignPower(x202,2) - 0.4031634796292*x502 =E= 0;

e780.. SignPower(x204,2) - 0.4031634796292*x503 =E= 0;

e781.. SignPower(x206,2) - 0.4031634796292*x504 =E= 0;

e782.. SignPower(x208,2) - 0.4031634796292*x505 =E= 0;

e783.. SignPower(x210,2) - 8.06326959261651*x507 =E= 0;

e784.. SignPower(x213,2) - 8.06326959261651*x509 =E= 0;

e785.. SignPower(x216,2) - 8.06326959261651*x511 =E= 0;

e786.. SignPower(x219,2) - 8.06326959261651*x513 =E= 0;

e787.. SignPower(x211,2) - 8.06326959261651*x514 =E= 0;

e788.. SignPower(x214,2) - 8.06326959261651*x515 =E= 0;

e789.. SignPower(x217,2) - 8.06326959261651*x516 =E= 0;

e790.. SignPower(x220,2) - 8.06326959261651*x517 =E= 0;

e791.. SignPower(x222,2) - 0.000180519501834947*x520 =E= 0;

e792.. SignPower(x224,2) - 0.000180519501834947*x523 =E= 0;

e793.. SignPower(x226,2) - 0.000180519501834947*x526 =E= 0;

e794.. SignPower(x228,2) - 0.000180519501834947*x529 =E= 0;

e795.. SignPower(x175,2) - 0.000180519501834947*x531 =E= 0;

e796.. SignPower(x180,2) - 0.000180519501834947*x533 =E= 0;

e797.. SignPower(x185,2) - 0.000180519501834947*x535 =E= 0;

e798.. SignPower(x190,2) - 0.000180519501834947*x537 =E= 0;

e799.. SignPower(x230,2) - 0.013538962637621*x538 =E= 0;

e800.. SignPower(x231,2) - 0.013538962637621*x539 =E= 0;

e801.. SignPower(x232,2) - 0.013538962637621*x540 =E= 0;

e802.. SignPower(x233,2) - 0.013538962637621*x541 =E= 0;

e803.. SignPower(x176,2) - 0.0463936827608069*x543 =E= 0;

e804.. SignPower(x181,2) - 0.0463936827608069*x545 =E= 0;

e805.. SignPower(x186,2) - 0.0463936827608069*x547 =E= 0;

e806.. SignPower(x191,2) - 0.0463936827608069*x549 =E= 0;

e807.. SignPower(x238,2) - 0.0964450219247959*x551 =E= 0;

e808.. SignPower(x239,2) - 0.0964450219247959*x553 =E= 0;

e809.. SignPower(x240,2) - 0.0964450219247959*x555 =E= 0;

e810.. SignPower(x241,2) - 0.0964450219247959*x557 =E= 0;

* set non-default bounds
x62.lo = 148.299332771269; x62.up = 638.10455381568;
x63.up = 135.302691146811;
x64.lo = 0.8; x64.up = 1.2;
x65.lo = 148.299332771269; x65.up = 638.10455381568;
x66.up = 135.302691146811;
x67.lo = 0.8; x67.up = 1.2;
x68.lo = 148.299332771269; x68.up = 638.10455381568;
x69.up = 135.302691146811;
x70.lo = 0.8; x70.up = 1.2;
x71.lo = 148.299332771269; x71.up = 638.10455381568;
x72.up = 135.302691146811;
x73.lo = 0.8; x73.up = 1.2;
x74.lo = 148.299332771269; x74.up = 638.10455381568;
x75.up = 135.302691146811;
x76.lo = 0.8; x76.up = 1.2;
x77.lo = 148.299332771269; x77.up = 638.10455381568;
x78.up = 135.302691146811;
x79.lo = 0.8; x79.up = 1.2;
x80.lo = 148.299332771269; x80.up = 638.10455381568;
x81.up = 135.302691146811;
x82.lo = 287.427397827187; x82.up = 413.764247971;
x83.up = 126.336850143813;
x84.lo = 287.427397827187; x84.up = 413.764247971;
x85.up = 126.336850143813;
x86.lo = 287.427397827187; x86.up = 413.764247971;
x87.up = 126.336850143813;
x88.lo = 287.427397827187; x88.up = 413.764247971;
x89.up = 126.336850143813;
x90.lo = 74.1748123438468; x90.up = 106.777870451;
x91.up = 32.6030581071532;
x92.lo = 74.1748123438468; x92.up = 106.777870451;
x93.up = 32.6030581071532;
x94.lo = 74.1748123438468; x94.up = 106.777870451;
x95.up = 32.6030581071532;
x96.lo = 74.1748123438468; x96.up = 106.777870451;
x97.up = 32.6030581071532;
x98.lo = 74.1748123438468; x98.up = 106.777870451;
x99.up = 32.6030581071532;
x100.lo = 74.1748123438468; x100.up = 106.777870451;
x101.up = 32.6030581071532;
x102.lo = 74.1748123438468; x102.up = 106.777870451;
x103.up = 32.6030581071532;
x104.lo = 74.1748123438468; x104.up = 106.777870451;
x105.up = 32.6030581071532;
x106.lo = 74.1748123438468; x106.up = 106.777870451;
x107.up = 32.6030581071532;
x108.lo = 74.1748123438468; x108.up = 106.777870451;
x109.up = 32.6030581071532;
x110.lo = 74.1748123438468; x110.up = 106.777870451;
x111.up = 32.6030581071532;
x112.lo = 74.1748123438468; x112.up = 106.777870451;
x113.up = 32.6030581071532;
x114.lo = 74.1748123434975; x114.up = 106.777870452;
x115.up = 32.6030581085025;
x116.lo = 74.1748123434975; x116.up = 106.777870452;
x117.up = 32.6030581085025;
x118.lo = 74.1748123434975; x118.up = 106.777870452;
x119.up = 32.6030581085025;
x120.lo = 74.1748123434975; x120.up = 106.777870452;
x121.up = 32.6030581085025;
x122.lo = -5; x122.up = 5;
x123.up = 0.64163;
x124.lo = -5; x124.up = 5;
x125.up = 0.64163;
x126.lo = -5; x126.up = 5;
x127.up = 0.64163;
x128.lo = -5; x128.up = 5;
x129.up = 0.64163;
x130.lo = -5; x130.up = 5;
x131.lo = -5; x131.up = 5;
x132.lo = -5; x132.up = 5;
x133.lo = -5; x133.up = 5;
x134.lo = -5; x134.up = 5;
x135.lo = -5; x135.up = 5;
x136.lo = -5; x136.up = 5;
x137.lo = -5; x137.up = 5;
x138.lo = -5; x138.up = 5;
x139.lo = -5; x139.up = 5;
x140.lo = -5; x140.up = 5;
x141.lo = -5; x141.up = 5;
x142.lo = -5; x142.up = 5;
x143.lo = -5; x143.up = 5;
x144.lo = -5; x144.up = 5;
x145.lo = -5; x145.up = 5;
x146.lo = -5; x146.up = 5;
x147.lo = -5; x147.up = 5;
x148.lo = -5; x148.up = 5;
x149.lo = -5; x149.up = 5;
x150.lo = -5; x150.up = 5;
x151.lo = -5; x151.up = 5;
x152.up = 5;
x153.lo = -5; x153.up = 5;
x154.lo = -5; x154.up = 5;
x155.up = 5;
x156.lo = -5; x156.up = 5;
x157.lo = -5; x157.up = 5;
x158.up = 5;
x159.lo = -5; x159.up = 5;
x160.lo = -5; x160.up = 5;
x161.up = 5;
x162.lo = -5; x162.up = 5;
x163.lo = -5; x163.up = 5;
x164.lo = -5; x164.up = 5;
x165.lo = -5; x165.up = 5;
x166.lo = -5; x166.up = 5;
x167.lo = -5; x167.up = 5;
x168.lo = -5; x168.up = 5;
x169.lo = -5; x169.up = 5;
x170.lo = -5; x170.up = 5;
x171.lo = -5; x171.up = 5;
x172.lo = -5; x172.up = 5;
x173.lo = -5; x173.up = 5;
x174.lo = -5; x174.up = 5;
x175.lo = -5; x175.up = 5;
x176.lo = -5; x176.up = 5;
x177.up = 5;
x178.up = 5;
x179.lo = -5; x179.up = 5;
x180.lo = -5; x180.up = 5;
x181.lo = -5; x181.up = 5;
x182.up = 5;
x183.up = 5;
x184.lo = -5; x184.up = 5;
x185.lo = -5; x185.up = 5;
x186.lo = -5; x186.up = 5;
x187.up = 5;
x188.up = 5;
x189.lo = -5; x189.up = 5;
x190.lo = -5; x190.up = 5;
x191.lo = -5; x191.up = 5;
x192.up = 5;
x193.up = 5;
x194.lo = -5; x194.up = 5;
x195.lo = -5; x195.up = 5;
x196.lo = -5; x196.up = 5;
x197.lo = -5; x197.up = 5;
x198.lo = -5; x198.up = 5;
x199.lo = -5; x199.up = 5;
x200.lo = -5; x200.up = 5;
x201.lo = -5; x201.up = 5;
x202.lo = -5; x202.up = 5;
x203.up = 5;
x204.lo = -5; x204.up = 5;
x205.up = 5;
x206.lo = -5; x206.up = 5;
x207.up = 5;
x208.lo = -5; x208.up = 5;
x209.up = 5;
x210.lo = -5; x210.up = 5;
x211.lo = -5; x211.up = 5;
x212.up = 0.429286;
x213.lo = -5; x213.up = 5;
x214.lo = -5; x214.up = 5;
x215.up = 0.429286;
x216.lo = -5; x216.up = 5;
x217.lo = -5; x217.up = 5;
x218.up = 0.429286;
x219.lo = -5; x219.up = 5;
x220.lo = -5; x220.up = 5;
x221.up = 0.429286;
x222.lo = -5; x222.up = 5;
x223.up = 5;
x224.lo = -5; x224.up = 5;
x225.up = 5;
x226.lo = -5; x226.up = 5;
x227.up = 5;
x228.lo = -5; x228.up = 5;
x229.up = 5;
x230.lo = -5; x230.up = 5;
x231.lo = -5; x231.up = 5;
x232.lo = -5; x232.up = 5;
x233.lo = -5; x233.up = 5;
x234.up = 5;
x235.up = 5;
x236.up = 5;
x237.up = 5;
x238.lo = -5; x238.up = 5;
x239.lo = -5; x239.up = 5;
x240.lo = -5; x240.up = 5;
x241.lo = -5; x241.up = 5;
x242.up = 5;
x243.up = 5;
x244.up = 5;
x245.up = 5;
x246.fx = 6.3;
x247.lo = 5; x247.up = 10;
x248.lo = 5; x248.up = 10;
x249.lo = 5; x249.up = 10;
x250.lo = 5; x250.up = 10;
x251.lo = 5; x251.up = 10;
x252.lo = 5; x252.up = 10;
x253.lo = 5; x253.up = 10;
x254.fx = 4.6;
x255.up = 6;
x256.up = 6;
x257.up = 6;
x258.up = 6;
x259.up = 6;
x260.up = 6;
x261.up = 6;
x262.fx = 4.6;
x263.up = 6;
x264.up = 6;
x265.up = 6;
x266.up = 6;
x267.up = 6;
x268.up = 6;
x269.up = 6;
x270.fx = 10;
x271.up = 16.5;
x272.up = 16.5;
x273.up = 16.5;
x274.up = 16.5;
x275.up = 16.5;
x276.up = 16.5;
x277.up = 16.5;
x278.up = 0.045826;
x279.lo = 287.427397827187; x279.up = 413.764247971;
x280.up = 0.045826;
x281.up = 126.336850143813;
x282.up = 0.045826;
x283.lo = 287.427397827187; x283.up = 413.764247971;
x284.up = 0.045826;
x285.up = 126.336850143813;
x286.up = 0.091663;
x287.lo = 287.427397827187; x287.up = 413.764247971;
x288.up = 0.091663;
x289.up = 126.336850143813;
x290.up = 0.091663;
x291.lo = 287.427397827187; x291.up = 413.764247971;
x292.up = 0.091663;
x293.up = 126.336850143813;
x294.up = 0.091663;
x295.lo = 0.8; x295.up = 1.2;
x296.up = 0.091663;
x297.lo = 148.299332771269; x297.up = 638.10455381568;
x298.up = 0.091663;
x299.up = 135.302691146811;
x300.up = 0.091663;
x301.lo = 0.8; x301.up = 1.2;
x302.up = 0.091663;
x303.lo = 148.299332771269; x303.up = 638.10455381568;
x304.up = 0.091663;
x305.up = 135.302691146811;
x306.up = 0.091663;
x307.lo = 0.8; x307.up = 1.2;
x308.up = 0.091663;
x309.lo = 148.299332771269; x309.up = 638.10455381568;
x310.up = 0.091663;
x311.up = 135.302691146811;
x312.up = 0.091663;
x313.lo = 0.8; x313.up = 1.2;
x314.up = 0.091663;
x315.lo = 148.299332771269; x315.up = 638.10455381568;
x316.up = 0.091663;
x317.up = 135.302691146811;
x318.up = 0.091663;
x319.lo = 0.8; x319.up = 1.2;
x320.up = 0.091663;
x321.lo = 148.299332771269; x321.up = 638.10455381568;
x322.up = 0.091663;
x323.up = 135.302691146811;
x324.up = 0.091663;
x325.lo = 0.8; x325.up = 1.2;
x326.up = 0.091663;
x327.lo = 148.299332771269; x327.up = 638.10455381568;
x328.up = 0.091663;
x329.up = 135.302691146811;
x330.up = 0.091663;
x331.lo = 0.8; x331.up = 1.2;
x332.up = 0.091663;
x333.lo = 148.299332771269; x333.up = 638.10455381568;
x334.up = 0.045826;
x335.up = 135.302691146811;
x336.up = 0.045826;
x337.lo = 0.8; x337.up = 1.2;
x338.up = 0.045826;
x339.lo = 148.299332771269; x339.up = 638.10455381568;
x340.up = 0.045826;
x341.up = 135.302691146811;
x342.up = 0.119163;
x343.lo = 0.8; x343.up = 1.2;
x344.up = 0.119163;
x345.lo = 148.299332771269; x345.up = 638.10455381568;
x346.up = 0.119163;
x347.up = 135.302691146811;
x348.up = 0.119163;
x349.lo = 0.8; x349.up = 1.2;
x350.up = 0.119163;
x351.lo = 148.299332771269; x351.up = 638.10455381568;
x352.up = 0.119163;
x353.up = 135.302691146811;
x354.up = 0.119163;
x355.lo = 0.8; x355.up = 1.2;
x356.up = 0.119163;
x357.lo = 148.299332771269; x357.up = 638.10455381568;
x358.up = 0.119163;
x359.up = 135.302691146811;
x360.up = 0.119163;
x361.lo = 0.8; x361.up = 1.2;
x362.up = 0.119163;
x363.lo = 148.299332771269; x363.up = 638.10455381568;
x364.up = 0.119163;
x365.up = 135.302691146811;
x366.up = 0.071797;
x367.lo = 0.8; x367.up = 1.2;
x368.up = 0.071797;
x369.lo = 148.299332771269; x369.up = 638.10455381568;
x370.up = 0.071797;
x371.up = 135.302691146811;
x372.up = 0.071797;
x373.lo = 0.8; x373.up = 1.2;
x374.lo = 305; x374.up = 310;
x375.lo = 305; x375.up = 310;
x376.lo = 305; x376.up = 310;
x377.lo = 305; x377.up = 310;
x378.lo = 240; x378.up = 246;
x379.lo = 240; x379.up = 246;
x380.lo = 240; x380.up = 246;
x381.lo = 240; x381.up = 246;
x382.lo = 240; x382.up = 246;
x383.lo = 240; x383.up = 246;
x384.lo = 240; x384.up = 246;
x385.lo = 240; x385.up = 246;
x386.lo = 243; x386.up = 259.5;
x387.lo = 243; x387.up = 259.5;
x388.lo = 243; x388.up = 259.5;
x389.lo = 243; x389.up = 259.5;
x390.up = 1000;
x391.up = 1000;
x392.lo = -232.35111544525; x392.up = 232.35111544525;
x393.up = 1000;
x394.up = 1000;
x395.lo = -232.35111544525; x395.up = 232.35111544525;
x396.up = 1000;
x397.up = 1000;
x398.lo = -232.35111544525; x398.up = 232.35111544525;
x399.up = 1000;
x400.up = 1000;
x401.lo = -232.35111544525; x401.up = 232.35111544525;
x402.up = 1000;
x403.lo = -103800.7251715; x403.up = 103800.7251715;
x404.up = 1000;
x405.lo = -103800.7251715; x405.up = 103800.7251715;
x406.up = 1000;
x407.lo = -103800.7251715; x407.up = 103800.7251715;
x408.up = 1000;
x409.lo = -103800.7251715; x409.up = 103800.7251715;
x410.up = 1000;
x411.lo = -22646.161845275; x411.up = 22646.161845275;
x412.up = 1000;
x413.lo = -22646.161845275; x413.up = 22646.161845275;
x414.up = 1000;
x415.lo = -22646.161845275; x415.up = 22646.161845275;
x416.up = 1000;
x417.lo = -22646.161845275; x417.up = 22646.161845275;
x418.up = 1000;
x419.up = 1000;
x420.lo = -1693.1005454625; x420.up = 1693.1005454625;
x421.up = 1000;
x422.up = 1000;
x423.lo = -1693.1005454625; x423.up = 1693.1005454625;
x424.up = 1000;
x425.up = 1000;
x426.lo = -1693.1005454625; x426.up = 1693.1005454625;
x427.up = 1000;
x428.up = 1000;
x429.lo = -1693.1005454625; x429.up = 1693.1005454625;
x430.up = 1000;
x431.up = 1000;
x432.lo = -1975.896081255; x432.up = 1975.896081255;
x433.up = 1000;
x434.up = 1000;
x435.lo = -1975.896081255; x435.up = 1975.896081255;
x436.up = 1000;
x437.up = 1000;
x438.lo = -1975.896081255; x438.up = 1975.896081255;
x439.up = 1000;
x440.up = 1000;
x441.lo = -1975.896081255; x441.up = 1975.896081255;
x442.lo = -35055.017651; x442.up = 35055.017651;
x443.lo = -35055.017651; x443.up = 35055.017651;
x444.lo = -35055.017651; x444.up = 35055.017651;
x445.lo = -35055.017651; x445.up = 35055.017651;
x446.lo = -987.9480406275; x446.up = 987.9480406275;
x447.lo = -987.9480406275; x447.up = 987.9480406275;
x448.lo = -987.9480406275; x448.up = 987.9480406275;
x449.lo = -987.9480406275; x449.up = 987.9480406275;
x450.lo = -1270.74357642; x450.up = 1270.74357642;
x451.lo = -1270.74357642; x451.up = 1270.74357642;
x452.lo = -1270.74357642; x452.up = 1270.74357642;
x453.lo = -1270.74357642; x453.up = 1270.74357642;
x454.lo = -186.06385100525; x454.up = 186.06385100525;
x455.lo = -186.06385100525; x455.up = 186.06385100525;
x456.lo = -186.06385100525; x456.up = 186.06385100525;
x457.lo = -186.06385100525; x457.up = 186.06385100525;
x458.lo = -186.06385100525; x458.up = 186.06385100525;
x459.lo = -186.06385100525; x459.up = 186.06385100525;
x460.lo = -186.06385100525; x460.up = 186.06385100525;
x461.lo = -186.06385100525; x461.up = 186.06385100525;
x462.lo = 214.9; x462.up = 1000;
x463.lo = -9303.19255025; x463.up = 9303.19255025;
x464.lo = 214.9; x464.up = 1000;
x465.lo = -9303.19255025; x465.up = 9303.19255025;
x466.lo = 214.9; x466.up = 1000;
x467.lo = -9303.19255025; x467.up = 9303.19255025;
x468.lo = 214.9; x468.up = 1000;
x469.lo = -9303.19255025; x469.up = 9303.19255025;
x470.lo = 231.04; x470.up = 1000;
x471.lo = -14219.27742075; x471.up = 14219.27742075;
x472.lo = 231.04; x472.up = 1000;
x473.lo = -14219.27742075; x473.up = 14219.27742075;
x474.lo = 231.04; x474.up = 1000;
x475.lo = -14219.27742075; x475.up = 14219.27742075;
x476.lo = 231.04; x476.up = 1000;
x477.lo = -14219.27742075; x477.up = 14219.27742075;
x478.up = 1000;
x479.up = 1000;
x480.lo = -1596.630932455; x480.up = 1596.630932455;
x481.up = 1000;
x482.up = 1000;
x483.lo = -1596.630932455; x483.up = 1596.630932455;
x484.up = 1000;
x485.up = 1000;
x486.lo = -1596.630932455; x486.up = 1596.630932455;
x487.up = 1000;
x488.up = 1000;
x489.lo = -1596.630932455; x489.up = 1596.630932455;
x490.up = 1000;
x491.lo = 300; x491.up = 1000;
x492.lo = -62.00958485375; x492.up = 62.00958485375;
x493.up = 1000;
x494.lo = 300; x494.up = 1000;
x495.lo = -62.00958485375; x495.up = 62.00958485375;
x496.up = 1000;
x497.lo = 300; x497.up = 1000;
x498.lo = -62.00958485375; x498.up = 62.00958485375;
x499.up = 1000;
x500.lo = 300; x500.up = 1000;
x501.lo = -62.00958485375; x501.up = 62.00958485375;
x502.lo = -62.00958485375; x502.up = 62.00958485375;
x503.lo = -62.00958485375; x503.up = 62.00958485375;
x504.lo = -62.00958485375; x504.up = 62.00958485375;
x505.lo = -62.00958485375; x505.up = 62.00958485375;
x506.up = 1000;
x507.lo = -3.100479242675; x507.up = 3.100479242675;
x508.up = 1000;
x509.lo = -3.100479242675; x509.up = 3.100479242675;
x510.up = 1000;
x511.lo = -3.100479242675; x511.up = 3.100479242675;
x512.up = 1000;
x513.lo = -3.100479242675; x513.up = 3.100479242675;
x514.lo = -3.100479242675; x514.up = 3.100479242675;
x515.lo = -3.100479242675; x515.up = 3.100479242675;
x516.lo = -3.100479242675; x516.up = 3.100479242675;
x517.lo = -3.100479242675; x517.up = 3.100479242675;
x518.up = 1000;
x519.lo = 243; x519.up = 1000;
x520.lo = -138489.1922805; x520.up = 138489.1922805;
x521.up = 1000;
x522.lo = 243; x522.up = 1000;
x523.lo = -138489.1922805; x523.up = 138489.1922805;
x524.up = 1000;
x525.lo = 243; x525.up = 1000;
x526.lo = -138489.1922805; x526.up = 138489.1922805;
x527.up = 1000;
x528.lo = 243; x528.up = 1000;
x529.lo = -138489.1922805; x529.up = 138489.1922805;
x530.up = 1000;
x531.lo = -138489.1922805; x531.up = 138489.1922805;
x532.up = 1000;
x533.lo = -138489.1922805; x533.up = 138489.1922805;
x534.up = 1000;
x535.lo = -138489.1922805; x535.up = 138489.1922805;
x536.up = 1000;
x537.lo = -138489.1922805; x537.up = 138489.1922805;
x538.lo = -1846.52256374; x538.up = 1846.52256374;
x539.lo = -1846.52256374; x539.up = 1846.52256374;
x540.lo = -1846.52256374; x540.up = 1846.52256374;
x541.lo = -1846.52256374; x541.up = 1846.52256374;
x542.up = 1000;
x543.lo = -538.866468715; x543.up = 538.866468715;
x544.up = 1000;
x545.lo = -538.866468715; x545.up = 538.866468715;
x546.up = 1000;
x547.lo = -538.866468715; x547.up = 538.866468715;
x548.up = 1000;
x549.lo = -538.866468715; x549.up = 538.866468715;
x550.up = 1000;
x551.lo = -259.21503776; x551.up = 259.21503776;
x552.up = 1000;
x553.lo = -259.21503776; x553.up = 259.21503776;
x554.up = 1000;
x555.lo = -259.21503776; x555.up = 259.21503776;
x556.up = 1000;
x557.lo = -259.21503776; x557.up = 259.21503776;
x558.fx = 34.1;
x559.lo = -34.1; x559.up = 1000;
x560.fx = 34.1;
x561.lo = -34.1; x561.up = 1000;
x562.fx = 34.1;
x563.lo = -34.1; x563.up = 1000;
x564.fx = 34.1;
x565.lo = -34.1; x565.up = 1000;
x566.lo = -1000; x566.up = 1000;
x567.lo = -1000; x567.up = 1000;
x568.lo = -1000; x568.up = 1000;
x569.lo = -1000; x569.up = 1000;
x570.up = 1;
x571.up = 1;
x572.up = 1;
x573.up = 1;
x574.up = 1;
x575.up = 1;
x576.up = 1;
x577.up = 1;
x578.up = 1;
x579.up = 1;
x580.up = 1;
x581.up = 1;
x582.up = 1;
x583.up = 1;
x584.up = 1;
x585.up = 1;
x586.up = 1;
x587.up = 1;
x588.up = 1;
x589.up = 1;
x590.up = 1;
x591.up = 1;
x592.up = 1;
x593.up = 1;
x594.up = 1;
x595.up = 1;
x596.up = 1;
x597.up = 1;
x598.up = 1;
x599.up = 1;
x600.up = 1;
x601.up = 1;
x602.up = 1;
x603.up = 1;
x604.up = 1;
x605.up = 1;
x606.lo = 148.299332771269; x606.up = 638.10455381568;
x607.up = 135.302691146811;
x608.lo = 0.8; x608.up = 1.2;
x609.lo = 148.299332771269; x609.up = 638.10455381568;
x610.up = 135.302691146811;
x611.lo = 0.8; x611.up = 1.2;
x612.lo = 148.299332771269; x612.up = 638.10455381568;
x613.up = 135.302691146811;
x614.lo = 0.8; x614.up = 1.2;
x615.lo = 148.299332771269; x615.up = 638.10455381568;
x616.up = 135.302691146811;
x617.lo = 0.8; x617.up = 1.2;
x618.up = 46.5022459484905;
x619.up = 46.5022459484905;
x620.up = 46.5022459484905;
x621.up = 46.5022459484905;
x622.up = 143.448141849487;
x623.up = 143.448141849487;
x624.up = 143.448141849487;
x625.up = 143.448141849487;
x626.up = 143.448141849487;
x627.up = 143.448141849487;
x628.up = 143.448141849487;
x629.up = 143.448141849487;
x630.up = 143.448141849487;
x631.up = 143.448141849487;
x632.up = 143.448141849487;
x633.up = 143.448141849487;
x634.up = 143.448141849487;
x635.up = 143.448141849487;
x636.up = 143.448141849487;
x637.up = 143.448141849487;
x638.up = 143.448141849487;
x639.up = 143.448141849487;
x640.up = 143.448141849487;
x641.up = 143.448141849487;
x642.up = 143.448141849487;
x643.up = 143.448141849487;
x644.up = 143.448141849487;
x645.up = 143.448141849487;
x646.up = 46.5022459484905;
x647.up = 46.5022459484905;
x648.up = 46.5022459484905;
x649.up = 46.5022459484905;
x650.up = 31.205539800995;
x651.up = 31.205539800995;
x652.up = 31.205539800995;
x653.up = 31.205539800995;
x654.up = 31.205539800995;
x655.up = 31.205539800995;
x656.up = 31.205539800995;
x657.up = 31.205539800995;
x658.up = 31.205539800995;
x659.up = 31.205539800995;
x660.up = 31.205539800995;
x661.up = 31.205539800995;
x662.up = 18.8016762007756;
x663.up = 18.8016762007756;
x664.up = 18.8016762007756;
x665.up = 18.8016762007756;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

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

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-05-24 Git hash: 1198c186
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