MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: kall_circlespolygons_c1p5b

A set of circles and convex polygons are to be cut from rectangular design plates to be produced, or from a set of stocked rectangles of known geometric dimensions.
The objective is to minimize the area of the design rectangles.
The design plates are subject to lower and upper bounds of their widths and lengths.
The objects are free of any orientation restrictions.
Formats ams gms lp mod nl osil pip
Primal Bounds
5.64709789 p1 ( gdx sol )
(infeas: 8e-13)
4.15868442 p2 ( gdx sol )
(infeas: 5e-14)
3.97129879 p3 ( gdx sol )
(infeas: 7e-11)
3.87051117 p4 ( gdx sol )
(infeas: 4e-14)
Dual Bounds
0.00000000 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (LINDO)
0.00000000 (SCIP)
References Kallrath, Josef, Cutting circles and polygons from area-minimizing rectangles, Journal of Global Optimization, 43:2-3, 2009, 299-328.
Source ANTIGONE test library model Other_MIQCQP/kall_circlespolygons_c1p5b
Application Geometry
Added to library 15 Aug 2014
Problem type QCP
#Variables 791
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 377
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 816
#Linear Constraints 185
#Quadratic Constraints 631
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 3031
#Nonlinear Nonzeros in Jacobian 1262
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1262
#Nonzeros in Diagonal of Hessian of Lagrangian 40
#Blocks in Hessian of Lagrangian 41
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 14
Average blocksize in Hessian of Lagrangian 9.195122
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 13.08
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
*        816      742        0       74        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        791      791        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3031     1769     1262        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,objvar;

Positive Variables  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,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,x719,x720,x721,x722,x723,x724,x725
          ,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738
          ,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751
          ,x752,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764
          ,x765,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777
          ,x778,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790;

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,e811,e812,e813,e814,e815,e816;


e1..  - x1 + objvar =E= -14.5238934211693;

e2.. -x789*x790 + x1 =E= 0;

e3..    x717 - x789 =L= -1.2;

e4..    x718 - x790 =L= -1.2;

e5..  - 0.166666666666667*x719 - 0.166666666666667*x721
      - 0.166666666666667*x723 - 0.166666666666667*x725
      - 0.166666666666667*x727 - 0.166666666666667*x729 + x779 =E= 0;

e6..  - 0.166666666666667*x720 - 0.166666666666667*x722
      - 0.166666666666667*x724 - 0.166666666666667*x726
      - 0.166666666666667*x728 - 0.166666666666667*x730 + x780 =E= 0;

e7..  - 0.166666666666667*x731 - 0.166666666666667*x733
      - 0.166666666666667*x735 - 0.166666666666667*x737
      - 0.166666666666667*x739 - 0.166666666666667*x741 + x781 =E= 0;

e8..  - 0.166666666666667*x732 - 0.166666666666667*x734
      - 0.166666666666667*x736 - 0.166666666666667*x738
      - 0.166666666666667*x740 - 0.166666666666667*x742 + x782 =E= 0;

e9..  - 0.166666666666667*x743 - 0.166666666666667*x745
      - 0.166666666666667*x747 - 0.166666666666667*x749
      - 0.166666666666667*x751 - 0.166666666666667*x753 + x783 =E= 0;

e10..  - 0.166666666666667*x744 - 0.166666666666667*x746
       - 0.166666666666667*x748 - 0.166666666666667*x750
       - 0.166666666666667*x752 - 0.166666666666667*x754 + x784 =E= 0;

e11..  - 0.166666666666667*x755 - 0.166666666666667*x757
       - 0.166666666666667*x759 - 0.166666666666667*x761
       - 0.166666666666667*x763 - 0.166666666666667*x765 + x785 =E= 0;

e12..  - 0.166666666666667*x756 - 0.166666666666667*x758
       - 0.166666666666667*x760 - 0.166666666666667*x762
       - 0.166666666666667*x764 - 0.166666666666667*x766 + x786 =E= 0;

e13..  - 0.166666666666667*x767 - 0.166666666666667*x769
       - 0.166666666666667*x771 - 0.166666666666667*x773
       - 0.166666666666667*x775 - 0.166666666666667*x777 + x787 =E= 0;

e14..  - 0.166666666666667*x768 - 0.166666666666667*x770
       - 0.166666666666667*x772 - 0.166666666666667*x774
       - 0.166666666666667*x776 - 0.166666666666667*x778 + x788 =E= 0;

e15.. x2*x2 + x7*x7 =E= 1;

e16.. x3*x3 + x8*x8 =E= 1;

e17.. x4*x4 + x9*x9 =E= 1;

e18.. x5*x5 + x10*x10 =E= 1;

e19.. x6*x6 + x11*x11 =E= 1;

e20..    x719 - x789 =L= 0;

e21..    x720 - x790 =L= 0;

e22..    x721 - x789 =L= 0;

e23..    x722 - x790 =L= 0;

e24..    x723 - x789 =L= 0;

e25..    x724 - x790 =L= 0;

e26..    x725 - x789 =L= 0;

e27..    x726 - x790 =L= 0;

e28..    x727 - x789 =L= 0;

e29..    x728 - x790 =L= 0;

e30..    x729 - x789 =L= 0;

e31..    x730 - x790 =L= 0;

e32..    x731 - x789 =L= 0;

e33..    x732 - x790 =L= 0;

e34..    x733 - x789 =L= 0;

e35..    x734 - x790 =L= 0;

e36..    x735 - x789 =L= 0;

e37..    x736 - x790 =L= 0;

e38..    x737 - x789 =L= 0;

e39..    x738 - x790 =L= 0;

e40..    x739 - x789 =L= 0;

e41..    x740 - x790 =L= 0;

e42..    x741 - x789 =L= 0;

e43..    x742 - x790 =L= 0;

e44..    x743 - x789 =L= 0;

e45..    x744 - x790 =L= 0;

e46..    x745 - x789 =L= 0;

e47..    x746 - x790 =L= 0;

e48..    x747 - x789 =L= 0;

e49..    x748 - x790 =L= 0;

e50..    x749 - x789 =L= 0;

e51..    x750 - x790 =L= 0;

e52..    x751 - x789 =L= 0;

e53..    x752 - x790 =L= 0;

e54..    x753 - x789 =L= 0;

e55..    x754 - x790 =L= 0;

e56..    x755 - x789 =L= 0;

e57..    x756 - x790 =L= 0;

e58..    x757 - x789 =L= 0;

e59..    x758 - x790 =L= 0;

e60..    x759 - x789 =L= 0;

e61..    x760 - x790 =L= 0;

e62..    x761 - x789 =L= 0;

e63..    x762 - x790 =L= 0;

e64..    x763 - x789 =L= 0;

e65..    x764 - x790 =L= 0;

e66..    x765 - x789 =L= 0;

e67..    x766 - x790 =L= 0;

e68..    x767 - x789 =L= 0;

e69..    x768 - x790 =L= 0;

e70..    x769 - x789 =L= 0;

e71..    x770 - x790 =L= 0;

e72..    x771 - x789 =L= 0;

e73..    x772 - x790 =L= 0;

e74..    x773 - x789 =L= 0;

e75..    x774 - x790 =L= 0;

e76..    x775 - x789 =L= 0;

e77..    x776 - x790 =L= 0;

e78..    x777 - x789 =L= 0;

e79..    x778 - x790 =L= 0;

e80..    0.833333333333333*x2 + 0.75*x7 + x719 - x779 =E= 0;

e81..  - 0.166666666666667*x2 + 0.75*x7 + x721 - x779 =E= 0;

e82..  - 0.666666666666667*x2 + 0.25*x7 + x723 - x779 =E= 0;

e83..  - 0.666666666666667*x2 - 0.25*x7 + x725 - x779 =E= 0;

e84..  - 0.166666666666667*x2 - 0.75*x7 + x727 - x779 =E= 0;

e85..    0.833333333333333*x2 - 0.75*x7 + x729 - x779 =E= 0;

e86..    0.833333333333333*x3 + 0.75*x8 + x731 - x781 =E= 0;

e87..  - 0.166666666666667*x3 + 0.75*x8 + x733 - x781 =E= 0;

e88..  - 0.666666666666667*x3 + 0.25*x8 + x735 - x781 =E= 0;

e89..  - 0.666666666666667*x3 - 0.25*x8 + x737 - x781 =E= 0;

e90..  - 0.166666666666667*x3 - 0.75*x8 + x739 - x781 =E= 0;

e91..    0.833333333333333*x3 - 0.75*x8 + x741 - x781 =E= 0;

e92..    0.833333333333333*x4 + 0.75*x9 + x743 - x783 =E= 0;

e93..  - 0.166666666666667*x4 + 0.75*x9 + x745 - x783 =E= 0;

e94..  - 0.666666666666667*x4 + 0.25*x9 + x747 - x783 =E= 0;

e95..  - 0.666666666666667*x4 - 0.25*x9 + x749 - x783 =E= 0;

e96..  - 0.166666666666667*x4 - 0.75*x9 + x751 - x783 =E= 0;

e97..    0.833333333333333*x4 - 0.75*x9 + x753 - x783 =E= 0;

e98..    0.833333333333333*x5 + 0.75*x10 + x755 - x785 =E= 0;

e99..  - 0.166666666666667*x5 + 0.75*x10 + x757 - x785 =E= 0;

e100..  - 0.666666666666667*x5 + 0.25*x10 + x759 - x785 =E= 0;

e101..  - 0.666666666666667*x5 - 0.25*x10 + x761 - x785 =E= 0;

e102..  - 0.166666666666667*x5 - 0.75*x10 + x763 - x785 =E= 0;

e103..    0.833333333333333*x5 - 0.75*x10 + x765 - x785 =E= 0;

e104..    0.833333333333333*x6 + 0.75*x11 + x767 - x787 =E= 0;

e105..  - 0.166666666666667*x6 + 0.75*x11 + x769 - x787 =E= 0;

e106..  - 0.666666666666667*x6 + 0.25*x11 + x771 - x787 =E= 0;

e107..  - 0.666666666666667*x6 - 0.25*x11 + x773 - x787 =E= 0;

e108..  - 0.166666666666667*x6 - 0.75*x11 + x775 - x787 =E= 0;

e109..    0.833333333333333*x6 - 0.75*x11 + x777 - x787 =E= 0;

e110..  - 0.75*x2 + 0.833333333333333*x7 + x720 - x780 =E= 0;

e111..  - 0.75*x2 - 0.166666666666667*x7 + x722 - x780 =E= 0;

e112..  - 0.25*x2 - 0.666666666666667*x7 + x724 - x780 =E= 0;

e113..    0.25*x2 - 0.666666666666667*x7 + x726 - x780 =E= 0;

e114..    0.75*x2 - 0.166666666666667*x7 + x728 - x780 =E= 0;

e115..    0.75*x2 + 0.833333333333333*x7 + x730 - x780 =E= 0;

e116..  - 0.75*x3 + 0.833333333333333*x8 + x732 - x782 =E= 0;

e117..  - 0.75*x3 - 0.166666666666667*x8 + x734 - x782 =E= 0;

e118..  - 0.25*x3 - 0.666666666666667*x8 + x736 - x782 =E= 0;

e119..    0.25*x3 - 0.666666666666667*x8 + x738 - x782 =E= 0;

e120..    0.75*x3 - 0.166666666666667*x8 + x740 - x782 =E= 0;

e121..    0.75*x3 + 0.833333333333333*x8 + x742 - x782 =E= 0;

e122..  - 0.75*x4 + 0.833333333333333*x9 + x744 - x784 =E= 0;

e123..  - 0.75*x4 - 0.166666666666667*x9 + x746 - x784 =E= 0;

e124..  - 0.25*x4 - 0.666666666666667*x9 + x748 - x784 =E= 0;

e125..    0.25*x4 - 0.666666666666667*x9 + x750 - x784 =E= 0;

e126..    0.75*x4 - 0.166666666666667*x9 + x752 - x784 =E= 0;

e127..    0.75*x4 + 0.833333333333333*x9 + x754 - x784 =E= 0;

e128..  - 0.75*x5 + 0.833333333333333*x10 + x756 - x786 =E= 0;

e129..  - 0.75*x5 - 0.166666666666667*x10 + x758 - x786 =E= 0;

e130..  - 0.25*x5 - 0.666666666666667*x10 + x760 - x786 =E= 0;

e131..    0.25*x5 - 0.666666666666667*x10 + x762 - x786 =E= 0;

e132..    0.75*x5 - 0.166666666666667*x10 + x764 - x786 =E= 0;

e133..    0.75*x5 + 0.833333333333333*x10 + x766 - x786 =E= 0;

e134..  - 0.75*x6 + 0.833333333333333*x11 + x768 - x788 =E= 0;

e135..  - 0.75*x6 - 0.166666666666667*x11 + x770 - x788 =E= 0;

e136..  - 0.25*x6 - 0.666666666666667*x11 + x772 - x788 =E= 0;

e137..    0.25*x6 - 0.666666666666667*x11 + x774 - x788 =E= 0;

e138..    0.75*x6 - 0.166666666666667*x11 + x776 - x788 =E= 0;

e139..    0.75*x6 + 0.833333333333333*x11 + x778 - x788 =E= 0;

e140.. x272*x272 + x273*x273 =E= 1;

e141.. x274*x274 + x275*x275 =E= 1;

e142.. x276*x276 + x277*x277 =E= 1;

e143.. x278*x278 + x279*x279 =E= 1;

e144.. x280*x280 + x281*x281 =E= 1;

e145.. x282*x282 + x283*x283 =E= 1;

e146.. x284*x284 + x285*x285 =E= 1;

e147.. x286*x286 + x287*x287 =E= 1;

e148.. x288*x288 + x289*x289 =E= 1;

e149.. x290*x290 + x291*x291 =E= 1;

e150..  - x273 + x292 =E= 0;

e151..  - x275 + x294 =E= 0;

e152..  - x277 + x296 =E= 0;

e153..  - x279 + x298 =E= 0;

e154..  - x281 + x300 =E= 0;

e155..  - x283 + x302 =E= 0;

e156..  - x285 + x304 =E= 0;

e157..  - x287 + x306 =E= 0;

e158..  - x289 + x308 =E= 0;

e159..  - x291 + x310 =E= 0;

e160..    x272 + x293 =E= 0;

e161..    x274 + x295 =E= 0;

e162..    x276 + x297 =E= 0;

e163..    x278 + x299 =E= 0;

e164..    x280 + x301 =E= 0;

e165..    x282 + x303 =E= 0;

e166..    x284 + x305 =E= 0;

e167..    x286 + x307 =E= 0;

e168..    x288 + x309 =E= 0;

e169..    x290 + x311 =E= 0;

e170.. x272*x152 + x12 + x312 - x719 =E= 0;

e171.. x273*x152 + x13 + x313 - x720 =E= 0;

e172.. x272*x153 + x12 + x314 - x721 =E= 0;

e173.. x273*x153 + x13 + x315 - x722 =E= 0;

e174.. x272*x154 + x12 + x316 - x723 =E= 0;

e175.. x273*x154 + x13 + x317 - x724 =E= 0;

e176.. x272*x155 + x12 + x318 - x725 =E= 0;

e177.. x273*x155 + x13 + x319 - x726 =E= 0;

e178.. x272*x156 + x12 + x320 - x727 =E= 0;

e179.. x273*x156 + x13 + x321 - x728 =E= 0;

e180.. x272*x157 + x12 + x322 - x729 =E= 0;

e181.. x273*x157 + x13 + x323 - x730 =E= 0;

e182.. x274*x158 + x14 + x324 - x719 =E= 0;

e183.. x275*x158 + x15 + x325 - x720 =E= 0;

e184.. x274*x159 + x14 + x326 - x721 =E= 0;

e185.. x275*x159 + x15 + x327 - x722 =E= 0;

e186.. x274*x160 + x14 + x328 - x723 =E= 0;

e187.. x275*x160 + x15 + x329 - x724 =E= 0;

e188.. x274*x161 + x14 + x330 - x725 =E= 0;

e189.. x275*x161 + x15 + x331 - x726 =E= 0;

e190.. x274*x162 + x14 + x332 - x727 =E= 0;

e191.. x275*x162 + x15 + x333 - x728 =E= 0;

e192.. x274*x163 + x14 + x334 - x729 =E= 0;

e193.. x275*x163 + x15 + x335 - x730 =E= 0;

e194.. x276*x164 + x16 + x336 - x719 =E= 0;

e195.. x277*x164 + x17 + x337 - x720 =E= 0;

e196.. x276*x165 + x16 + x338 - x721 =E= 0;

e197.. x277*x165 + x17 + x339 - x722 =E= 0;

e198.. x276*x166 + x16 + x340 - x723 =E= 0;

e199.. x277*x166 + x17 + x341 - x724 =E= 0;

e200.. x276*x167 + x16 + x342 - x725 =E= 0;

e201.. x277*x167 + x17 + x343 - x726 =E= 0;

e202.. x276*x168 + x16 + x344 - x727 =E= 0;

e203.. x277*x168 + x17 + x345 - x728 =E= 0;

e204.. x276*x169 + x16 + x346 - x729 =E= 0;

e205.. x277*x169 + x17 + x347 - x730 =E= 0;

e206.. x278*x170 + x18 + x348 - x719 =E= 0;

e207.. x279*x170 + x19 + x349 - x720 =E= 0;

e208.. x278*x171 + x18 + x350 - x721 =E= 0;

e209.. x279*x171 + x19 + x351 - x722 =E= 0;

e210.. x278*x172 + x18 + x352 - x723 =E= 0;

e211.. x279*x172 + x19 + x353 - x724 =E= 0;

e212.. x278*x173 + x18 + x354 - x725 =E= 0;

e213.. x279*x173 + x19 + x355 - x726 =E= 0;

e214.. x278*x174 + x18 + x356 - x727 =E= 0;

e215.. x279*x174 + x19 + x357 - x728 =E= 0;

e216.. x278*x175 + x18 + x358 - x729 =E= 0;

e217.. x279*x175 + x19 + x359 - x730 =E= 0;

e218.. x280*x182 + x20 + x372 - x731 =E= 0;

e219.. x281*x182 + x21 + x373 - x732 =E= 0;

e220.. x280*x183 + x20 + x374 - x733 =E= 0;

e221.. x281*x183 + x21 + x375 - x734 =E= 0;

e222.. x280*x184 + x20 + x376 - x735 =E= 0;

e223.. x281*x184 + x21 + x377 - x736 =E= 0;

e224.. x280*x185 + x20 + x378 - x737 =E= 0;

e225.. x281*x185 + x21 + x379 - x738 =E= 0;

e226.. x280*x186 + x20 + x380 - x739 =E= 0;

e227.. x281*x186 + x21 + x381 - x740 =E= 0;

e228.. x280*x187 + x20 + x382 - x741 =E= 0;

e229.. x281*x187 + x21 + x383 - x742 =E= 0;

e230.. x282*x188 + x22 + x384 - x731 =E= 0;

e231.. x283*x188 + x23 + x385 - x732 =E= 0;

e232.. x282*x189 + x22 + x386 - x733 =E= 0;

e233.. x283*x189 + x23 + x387 - x734 =E= 0;

e234.. x282*x190 + x22 + x388 - x735 =E= 0;

e235.. x283*x190 + x23 + x389 - x736 =E= 0;

e236.. x282*x191 + x22 + x390 - x737 =E= 0;

e237.. x283*x191 + x23 + x391 - x738 =E= 0;

e238.. x282*x192 + x22 + x392 - x739 =E= 0;

e239.. x283*x192 + x23 + x393 - x740 =E= 0;

e240.. x282*x193 + x22 + x394 - x741 =E= 0;

e241.. x283*x193 + x23 + x395 - x742 =E= 0;

e242.. x284*x194 + x24 + x396 - x731 =E= 0;

e243.. x285*x194 + x25 + x397 - x732 =E= 0;

e244.. x284*x195 + x24 + x398 - x733 =E= 0;

e245.. x285*x195 + x25 + x399 - x734 =E= 0;

e246.. x284*x196 + x24 + x400 - x735 =E= 0;

e247.. x285*x196 + x25 + x401 - x736 =E= 0;

e248.. x284*x197 + x24 + x402 - x737 =E= 0;

e249.. x285*x197 + x25 + x403 - x738 =E= 0;

e250.. x284*x198 + x24 + x404 - x739 =E= 0;

e251.. x285*x198 + x25 + x405 - x740 =E= 0;

e252.. x284*x199 + x24 + x406 - x741 =E= 0;

e253.. x285*x199 + x25 + x407 - x742 =E= 0;

e254.. x286*x212 + x26 + x432 - x743 =E= 0;

e255.. x287*x212 + x27 + x433 - x744 =E= 0;

e256.. x286*x213 + x26 + x434 - x745 =E= 0;

e257.. x287*x213 + x27 + x435 - x746 =E= 0;

e258.. x286*x214 + x26 + x436 - x747 =E= 0;

e259.. x287*x214 + x27 + x437 - x748 =E= 0;

e260.. x286*x215 + x26 + x438 - x749 =E= 0;

e261.. x287*x215 + x27 + x439 - x750 =E= 0;

e262.. x286*x216 + x26 + x440 - x751 =E= 0;

e263.. x287*x216 + x27 + x441 - x752 =E= 0;

e264.. x286*x217 + x26 + x442 - x753 =E= 0;

e265.. x287*x217 + x27 + x443 - x754 =E= 0;

e266.. x288*x218 + x28 + x444 - x743 =E= 0;

e267.. x289*x218 + x29 + x445 - x744 =E= 0;

e268.. x288*x219 + x28 + x446 - x745 =E= 0;

e269.. x289*x219 + x29 + x447 - x746 =E= 0;

e270.. x288*x220 + x28 + x448 - x747 =E= 0;

e271.. x289*x220 + x29 + x449 - x748 =E= 0;

e272.. x288*x221 + x28 + x450 - x749 =E= 0;

e273.. x289*x221 + x29 + x451 - x750 =E= 0;

e274.. x288*x222 + x28 + x452 - x751 =E= 0;

e275.. x289*x222 + x29 + x453 - x752 =E= 0;

e276.. x288*x223 + x28 + x454 - x753 =E= 0;

e277.. x289*x223 + x29 + x455 - x754 =E= 0;

e278.. x290*x242 + x30 + x492 - x755 =E= 0;

e279.. x291*x242 + x31 + x493 - x756 =E= 0;

e280.. x290*x243 + x30 + x494 - x757 =E= 0;

e281.. x291*x243 + x31 + x495 - x758 =E= 0;

e282.. x290*x244 + x30 + x496 - x759 =E= 0;

e283.. x291*x244 + x31 + x497 - x760 =E= 0;

e284.. x290*x245 + x30 + x498 - x761 =E= 0;

e285.. x291*x245 + x31 + x499 - x762 =E= 0;

e286.. x290*x246 + x30 + x500 - x763 =E= 0;

e287.. x291*x246 + x31 + x501 - x764 =E= 0;

e288.. x290*x247 + x30 + x502 - x765 =E= 0;

e289.. x291*x247 + x31 + x503 - x766 =E= 0;

e290.. x272*x176 + x12 + x360 - x731 =E= 0;

e291.. x273*x176 + x13 + x361 - x732 =E= 0;

e292.. x272*x177 + x12 + x362 - x733 =E= 0;

e293.. x273*x177 + x13 + x363 - x734 =E= 0;

e294.. x272*x178 + x12 + x364 - x735 =E= 0;

e295.. x273*x178 + x13 + x365 - x736 =E= 0;

e296.. x272*x179 + x12 + x366 - x737 =E= 0;

e297.. x273*x179 + x13 + x367 - x738 =E= 0;

e298.. x272*x180 + x12 + x368 - x739 =E= 0;

e299.. x273*x180 + x13 + x369 - x740 =E= 0;

e300.. x272*x181 + x12 + x370 - x741 =E= 0;

e301.. x273*x181 + x13 + x371 - x742 =E= 0;

e302.. x274*x200 + x14 + x408 - x743 =E= 0;

e303.. x275*x200 + x15 + x409 - x744 =E= 0;

e304.. x274*x201 + x14 + x410 - x745 =E= 0;

e305.. x275*x201 + x15 + x411 - x746 =E= 0;

e306.. x274*x202 + x14 + x412 - x747 =E= 0;

e307.. x275*x202 + x15 + x413 - x748 =E= 0;

e308.. x274*x203 + x14 + x414 - x749 =E= 0;

e309.. x275*x203 + x15 + x415 - x750 =E= 0;

e310.. x274*x204 + x14 + x416 - x751 =E= 0;

e311.. x275*x204 + x15 + x417 - x752 =E= 0;

e312.. x274*x205 + x14 + x418 - x753 =E= 0;

e313.. x275*x205 + x15 + x419 - x754 =E= 0;

e314.. x276*x224 + x16 + x456 - x755 =E= 0;

e315.. x277*x224 + x17 + x457 - x756 =E= 0;

e316.. x276*x225 + x16 + x458 - x757 =E= 0;

e317.. x277*x225 + x17 + x459 - x758 =E= 0;

e318.. x276*x226 + x16 + x460 - x759 =E= 0;

e319.. x277*x226 + x17 + x461 - x760 =E= 0;

e320.. x276*x227 + x16 + x462 - x761 =E= 0;

e321.. x277*x227 + x17 + x463 - x762 =E= 0;

e322.. x276*x228 + x16 + x464 - x763 =E= 0;

e323.. x277*x228 + x17 + x465 - x764 =E= 0;

e324.. x276*x229 + x16 + x466 - x765 =E= 0;

e325.. x277*x229 + x17 + x467 - x766 =E= 0;

e326.. x278*x248 + x18 + x504 - x767 =E= 0;

e327.. x279*x248 + x19 + x505 - x768 =E= 0;

e328.. x278*x249 + x18 + x506 - x769 =E= 0;

e329.. x279*x249 + x19 + x507 - x770 =E= 0;

e330.. x278*x250 + x18 + x508 - x771 =E= 0;

e331.. x279*x250 + x19 + x509 - x772 =E= 0;

e332.. x278*x251 + x18 + x510 - x773 =E= 0;

e333.. x279*x251 + x19 + x511 - x774 =E= 0;

e334.. x278*x252 + x18 + x512 - x775 =E= 0;

e335.. x279*x252 + x19 + x513 - x776 =E= 0;

e336.. x278*x253 + x18 + x514 - x777 =E= 0;

e337.. x279*x253 + x19 + x515 - x778 =E= 0;

e338.. x280*x206 + x20 + x420 - x743 =E= 0;

e339.. x281*x206 + x21 + x421 - x744 =E= 0;

e340.. x280*x207 + x20 + x422 - x745 =E= 0;

e341.. x281*x207 + x21 + x423 - x746 =E= 0;

e342.. x280*x208 + x20 + x424 - x747 =E= 0;

e343.. x281*x208 + x21 + x425 - x748 =E= 0;

e344.. x280*x209 + x20 + x426 - x749 =E= 0;

e345.. x281*x209 + x21 + x427 - x750 =E= 0;

e346.. x280*x210 + x20 + x428 - x751 =E= 0;

e347.. x281*x210 + x21 + x429 - x752 =E= 0;

e348.. x280*x211 + x20 + x430 - x753 =E= 0;

e349.. x281*x211 + x21 + x431 - x754 =E= 0;

e350.. x282*x230 + x22 + x468 - x755 =E= 0;

e351.. x283*x230 + x23 + x469 - x756 =E= 0;

e352.. x282*x231 + x22 + x470 - x757 =E= 0;

e353.. x283*x231 + x23 + x471 - x758 =E= 0;

e354.. x282*x232 + x22 + x472 - x759 =E= 0;

e355.. x283*x232 + x23 + x473 - x760 =E= 0;

e356.. x282*x233 + x22 + x474 - x761 =E= 0;

e357.. x283*x233 + x23 + x475 - x762 =E= 0;

e358.. x282*x234 + x22 + x476 - x763 =E= 0;

e359.. x283*x234 + x23 + x477 - x764 =E= 0;

e360.. x282*x235 + x22 + x478 - x765 =E= 0;

e361.. x283*x235 + x23 + x479 - x766 =E= 0;

e362.. x284*x254 + x24 + x516 - x767 =E= 0;

e363.. x285*x254 + x25 + x517 - x768 =E= 0;

e364.. x284*x255 + x24 + x518 - x769 =E= 0;

e365.. x285*x255 + x25 + x519 - x770 =E= 0;

e366.. x284*x256 + x24 + x520 - x771 =E= 0;

e367.. x285*x256 + x25 + x521 - x772 =E= 0;

e368.. x284*x257 + x24 + x522 - x773 =E= 0;

e369.. x285*x257 + x25 + x523 - x774 =E= 0;

e370.. x284*x258 + x24 + x524 - x775 =E= 0;

e371.. x285*x258 + x25 + x525 - x776 =E= 0;

e372.. x284*x259 + x24 + x526 - x777 =E= 0;

e373.. x285*x259 + x25 + x527 - x778 =E= 0;

e374.. x286*x236 + x26 + x480 - x755 =E= 0;

e375.. x287*x236 + x27 + x481 - x756 =E= 0;

e376.. x286*x237 + x26 + x482 - x757 =E= 0;

e377.. x287*x237 + x27 + x483 - x758 =E= 0;

e378.. x286*x238 + x26 + x484 - x759 =E= 0;

e379.. x287*x238 + x27 + x485 - x760 =E= 0;

e380.. x286*x239 + x26 + x486 - x761 =E= 0;

e381.. x287*x239 + x27 + x487 - x762 =E= 0;

e382.. x286*x240 + x26 + x488 - x763 =E= 0;

e383.. x287*x240 + x27 + x489 - x764 =E= 0;

e384.. x286*x241 + x26 + x490 - x765 =E= 0;

e385.. x287*x241 + x27 + x491 - x766 =E= 0;

e386.. x288*x260 + x28 + x528 - x767 =E= 0;

e387.. x289*x260 + x29 + x529 - x768 =E= 0;

e388.. x288*x261 + x28 + x530 - x769 =E= 0;

e389.. x289*x261 + x29 + x531 - x770 =E= 0;

e390.. x288*x262 + x28 + x532 - x771 =E= 0;

e391.. x289*x262 + x29 + x533 - x772 =E= 0;

e392.. x288*x263 + x28 + x534 - x773 =E= 0;

e393.. x289*x263 + x29 + x535 - x774 =E= 0;

e394.. x288*x264 + x28 + x536 - x775 =E= 0;

e395.. x289*x264 + x29 + x537 - x776 =E= 0;

e396.. x288*x265 + x28 + x538 - x777 =E= 0;

e397.. x289*x265 + x29 + x539 - x778 =E= 0;

e398.. x290*x266 + x30 + x540 - x767 =E= 0;

e399.. x291*x266 + x31 + x541 - x768 =E= 0;

e400.. x290*x267 + x30 + x542 - x769 =E= 0;

e401.. x291*x267 + x31 + x543 - x770 =E= 0;

e402.. x290*x268 + x30 + x544 - x771 =E= 0;

e403.. x291*x268 + x31 + x545 - x772 =E= 0;

e404.. x290*x269 + x30 + x546 - x773 =E= 0;

e405.. x291*x269 + x31 + x547 - x774 =E= 0;

e406.. x290*x270 + x30 + x548 - x775 =E= 0;

e407.. x291*x270 + x31 + x549 - x776 =E= 0;

e408.. x290*x271 + x30 + x550 - x777 =E= 0;

e409.. x291*x271 + x31 + x551 - x778 =E= 0;

e410.. -x32*x292 + x312 =E= 0;

e411.. -x32*x293 + x313 =E= 0;

e412.. -x33*x292 + x314 =E= 0;

e413.. -x33*x293 + x315 =E= 0;

e414.. -x34*x292 + x316 =E= 0;

e415.. -x34*x293 + x317 =E= 0;

e416.. -x35*x292 + x318 =E= 0;

e417.. -x35*x293 + x319 =E= 0;

e418.. -x36*x292 + x320 =E= 0;

e419.. -x36*x293 + x321 =E= 0;

e420.. -x37*x292 + x322 =E= 0;

e421.. -x37*x293 + x323 =E= 0;

e422.. -x38*x294 + x324 =E= 0;

e423.. -x38*x295 + x325 =E= 0;

e424.. -x39*x294 + x326 =E= 0;

e425.. -x39*x295 + x327 =E= 0;

e426.. -x40*x294 + x328 =E= 0;

e427.. -x40*x295 + x329 =E= 0;

e428.. -x41*x294 + x330 =E= 0;

e429.. -x41*x295 + x331 =E= 0;

e430.. -x42*x294 + x332 =E= 0;

e431.. -x42*x295 + x333 =E= 0;

e432.. -x43*x294 + x334 =E= 0;

e433.. -x43*x295 + x335 =E= 0;

e434.. -x44*x296 + x336 =E= 0;

e435.. -x44*x297 + x337 =E= 0;

e436.. -x45*x296 + x338 =E= 0;

e437.. -x45*x297 + x339 =E= 0;

e438.. -x46*x296 + x340 =E= 0;

e439.. -x46*x297 + x341 =E= 0;

e440.. -x47*x296 + x342 =E= 0;

e441.. -x47*x297 + x343 =E= 0;

e442.. -x48*x296 + x344 =E= 0;

e443.. -x48*x297 + x345 =E= 0;

e444.. -x49*x296 + x346 =E= 0;

e445.. -x49*x297 + x347 =E= 0;

e446.. -x50*x298 + x348 =E= 0;

e447.. -x50*x299 + x349 =E= 0;

e448.. -x51*x298 + x350 =E= 0;

e449.. -x51*x299 + x351 =E= 0;

e450.. -x52*x298 + x352 =E= 0;

e451.. -x52*x299 + x353 =E= 0;

e452.. -x53*x298 + x354 =E= 0;

e453.. -x53*x299 + x355 =E= 0;

e454.. -x54*x298 + x356 =E= 0;

e455.. -x54*x299 + x357 =E= 0;

e456.. -x55*x298 + x358 =E= 0;

e457.. -x55*x299 + x359 =E= 0;

e458.. -x62*x300 + x372 =E= 0;

e459.. -x62*x301 + x373 =E= 0;

e460.. -x63*x300 + x374 =E= 0;

e461.. -x63*x301 + x375 =E= 0;

e462.. -x64*x300 + x376 =E= 0;

e463.. -x64*x301 + x377 =E= 0;

e464.. -x65*x300 + x378 =E= 0;

e465.. -x65*x301 + x379 =E= 0;

e466.. -x66*x300 + x380 =E= 0;

e467.. -x66*x301 + x381 =E= 0;

e468.. -x67*x300 + x382 =E= 0;

e469.. -x67*x301 + x383 =E= 0;

e470.. -x68*x302 + x384 =E= 0;

e471.. -x68*x303 + x385 =E= 0;

e472.. -x69*x302 + x386 =E= 0;

e473.. -x69*x303 + x387 =E= 0;

e474.. -x70*x302 + x388 =E= 0;

e475.. -x70*x303 + x389 =E= 0;

e476.. -x71*x302 + x390 =E= 0;

e477.. -x71*x303 + x391 =E= 0;

e478.. -x72*x302 + x392 =E= 0;

e479.. -x72*x303 + x393 =E= 0;

e480.. -x73*x302 + x394 =E= 0;

e481.. -x73*x303 + x395 =E= 0;

e482.. -x74*x304 + x396 =E= 0;

e483.. -x74*x305 + x397 =E= 0;

e484.. -x75*x304 + x398 =E= 0;

e485.. -x75*x305 + x399 =E= 0;

e486.. -x76*x304 + x400 =E= 0;

e487.. -x76*x305 + x401 =E= 0;

e488.. -x77*x304 + x402 =E= 0;

e489.. -x77*x305 + x403 =E= 0;

e490.. -x78*x304 + x404 =E= 0;

e491.. -x78*x305 + x405 =E= 0;

e492.. -x79*x304 + x406 =E= 0;

e493.. -x79*x305 + x407 =E= 0;

e494.. -x92*x306 + x432 =E= 0;

e495.. -x92*x307 + x433 =E= 0;

e496.. -x93*x306 + x434 =E= 0;

e497.. -x93*x307 + x435 =E= 0;

e498.. -x94*x306 + x436 =E= 0;

e499.. -x94*x307 + x437 =E= 0;

e500.. -x95*x306 + x438 =E= 0;

e501.. -x95*x307 + x439 =E= 0;

e502.. -x96*x306 + x440 =E= 0;

e503.. -x96*x307 + x441 =E= 0;

e504.. -x97*x306 + x442 =E= 0;

e505.. -x97*x307 + x443 =E= 0;

e506.. -x98*x308 + x444 =E= 0;

e507.. -x98*x309 + x445 =E= 0;

e508.. -x99*x308 + x446 =E= 0;

e509.. -x99*x309 + x447 =E= 0;

e510.. -x100*x308 + x448 =E= 0;

e511.. -x100*x309 + x449 =E= 0;

e512.. -x101*x308 + x450 =E= 0;

e513.. -x101*x309 + x451 =E= 0;

e514.. -x102*x308 + x452 =E= 0;

e515.. -x102*x309 + x453 =E= 0;

e516.. -x103*x308 + x454 =E= 0;

e517.. -x103*x309 + x455 =E= 0;

e518.. -x122*x310 + x492 =E= 0;

e519.. -x122*x311 + x493 =E= 0;

e520.. -x123*x310 + x494 =E= 0;

e521.. -x123*x311 + x495 =E= 0;

e522.. -x124*x310 + x496 =E= 0;

e523.. -x124*x311 + x497 =E= 0;

e524.. -x125*x310 + x498 =E= 0;

e525.. -x125*x311 + x499 =E= 0;

e526.. -x126*x310 + x500 =E= 0;

e527.. -x126*x311 + x501 =E= 0;

e528.. -x127*x310 + x502 =E= 0;

e529.. -x127*x311 + x503 =E= 0;

e530.. x56*x292 + x360 =E= 0;

e531.. x56*x293 + x361 =E= 0;

e532.. x57*x292 + x362 =E= 0;

e533.. x57*x293 + x363 =E= 0;

e534.. x58*x292 + x364 =E= 0;

e535.. x58*x293 + x365 =E= 0;

e536.. x59*x292 + x366 =E= 0;

e537.. x59*x293 + x367 =E= 0;

e538.. x60*x292 + x368 =E= 0;

e539.. x60*x293 + x369 =E= 0;

e540.. x61*x292 + x370 =E= 0;

e541.. x61*x293 + x371 =E= 0;

e542.. x80*x294 + x408 =E= 0;

e543.. x80*x295 + x409 =E= 0;

e544.. x81*x294 + x410 =E= 0;

e545.. x81*x295 + x411 =E= 0;

e546.. x82*x294 + x412 =E= 0;

e547.. x82*x295 + x413 =E= 0;

e548.. x83*x294 + x414 =E= 0;

e549.. x83*x295 + x415 =E= 0;

e550.. x84*x294 + x416 =E= 0;

e551.. x84*x295 + x417 =E= 0;

e552.. x85*x294 + x418 =E= 0;

e553.. x85*x295 + x419 =E= 0;

e554.. x104*x296 + x456 =E= 0;

e555.. x104*x297 + x457 =E= 0;

e556.. x105*x296 + x458 =E= 0;

e557.. x105*x297 + x459 =E= 0;

e558.. x106*x296 + x460 =E= 0;

e559.. x106*x297 + x461 =E= 0;

e560.. x107*x296 + x462 =E= 0;

e561.. x107*x297 + x463 =E= 0;

e562.. x108*x296 + x464 =E= 0;

e563.. x108*x297 + x465 =E= 0;

e564.. x109*x296 + x466 =E= 0;

e565.. x109*x297 + x467 =E= 0;

e566.. x128*x298 + x504 =E= 0;

e567.. x128*x299 + x505 =E= 0;

e568.. x129*x298 + x506 =E= 0;

e569.. x129*x299 + x507 =E= 0;

e570.. x130*x298 + x508 =E= 0;

e571.. x130*x299 + x509 =E= 0;

e572.. x131*x298 + x510 =E= 0;

e573.. x131*x299 + x511 =E= 0;

e574.. x132*x298 + x512 =E= 0;

e575.. x132*x299 + x513 =E= 0;

e576.. x133*x298 + x514 =E= 0;

e577.. x133*x299 + x515 =E= 0;

e578.. x86*x300 + x420 =E= 0;

e579.. x86*x301 + x421 =E= 0;

e580.. x87*x300 + x422 =E= 0;

e581.. x87*x301 + x423 =E= 0;

e582.. x88*x300 + x424 =E= 0;

e583.. x88*x301 + x425 =E= 0;

e584.. x89*x300 + x426 =E= 0;

e585.. x89*x301 + x427 =E= 0;

e586.. x90*x300 + x428 =E= 0;

e587.. x90*x301 + x429 =E= 0;

e588.. x91*x300 + x430 =E= 0;

e589.. x91*x301 + x431 =E= 0;

e590.. x110*x302 + x468 =E= 0;

e591.. x110*x303 + x469 =E= 0;

e592.. x111*x302 + x470 =E= 0;

e593.. x111*x303 + x471 =E= 0;

e594.. x112*x302 + x472 =E= 0;

e595.. x112*x303 + x473 =E= 0;

e596.. x113*x302 + x474 =E= 0;

e597.. x113*x303 + x475 =E= 0;

e598.. x114*x302 + x476 =E= 0;

e599.. x114*x303 + x477 =E= 0;

e600.. x115*x302 + x478 =E= 0;

e601.. x115*x303 + x479 =E= 0;

e602.. x134*x304 + x516 =E= 0;

e603.. x134*x305 + x517 =E= 0;

e604.. x135*x304 + x518 =E= 0;

e605.. x135*x305 + x519 =E= 0;

e606.. x136*x304 + x520 =E= 0;

e607.. x136*x305 + x521 =E= 0;

e608.. x137*x304 + x522 =E= 0;

e609.. x137*x305 + x523 =E= 0;

e610.. x138*x304 + x524 =E= 0;

e611.. x138*x305 + x525 =E= 0;

e612.. x139*x304 + x526 =E= 0;

e613.. x139*x305 + x527 =E= 0;

e614.. x116*x306 + x480 =E= 0;

e615.. x116*x307 + x481 =E= 0;

e616.. x117*x306 + x482 =E= 0;

e617.. x117*x307 + x483 =E= 0;

e618.. x118*x306 + x484 =E= 0;

e619.. x118*x307 + x485 =E= 0;

e620.. x119*x306 + x486 =E= 0;

e621.. x119*x307 + x487 =E= 0;

e622.. x120*x306 + x488 =E= 0;

e623.. x120*x307 + x489 =E= 0;

e624.. x121*x306 + x490 =E= 0;

e625.. x121*x307 + x491 =E= 0;

e626.. x140*x308 + x528 =E= 0;

e627.. x140*x309 + x529 =E= 0;

e628.. x141*x308 + x530 =E= 0;

e629.. x141*x309 + x531 =E= 0;

e630.. x142*x308 + x532 =E= 0;

e631.. x142*x309 + x533 =E= 0;

e632.. x143*x308 + x534 =E= 0;

e633.. x143*x309 + x535 =E= 0;

e634.. x144*x308 + x536 =E= 0;

e635.. x144*x309 + x537 =E= 0;

e636.. x145*x308 + x538 =E= 0;

e637.. x145*x309 + x539 =E= 0;

e638.. x146*x310 + x540 =E= 0;

e639.. x146*x311 + x541 =E= 0;

e640.. x147*x310 + x542 =E= 0;

e641.. x147*x311 + x543 =E= 0;

e642.. x148*x310 + x544 =E= 0;

e643.. x148*x311 + x545 =E= 0;

e644.. x149*x310 + x546 =E= 0;

e645.. x149*x311 + x547 =E= 0;

e646.. x150*x310 + x548 =E= 0;

e647.. x150*x311 + x549 =E= 0;

e648.. x151*x310 + x550 =E= 0;

e649.. x151*x311 + x551 =E= 0;

e650.. x627*x627 + x628*x628 =E= 1;

e651.. x629*x629 + x630*x630 =E= 1;

e652.. x631*x631 + x632*x632 =E= 1;

e653.. x633*x633 + x634*x634 =E= 1;

e654.. x635*x635 + x636*x636 =E= 1;

e655..  - x628 + x637 =E= 0;

e656..  - x630 + x639 =E= 0;

e657..  - x632 + x641 =E= 0;

e658..  - x634 + x643 =E= 0;

e659..  - x636 + x645 =E= 0;

e660..    x627 + x638 =E= 0;

e661..    x629 + x640 =E= 0;

e662..    x631 + x642 =E= 0;

e663..    x633 + x644 =E= 0;

e664..    x635 + x646 =E= 0;

e665.. x627*x592 + x552 + x647 - x719 =E= 0;

e666.. x628*x592 + x553 + x648 - x720 =E= 0;

e667.. x627*x593 + x552 + x649 - x721 =E= 0;

e668.. x628*x593 + x553 + x650 - x722 =E= 0;

e669.. x627*x594 + x552 + x651 - x723 =E= 0;

e670.. x628*x594 + x553 + x652 - x724 =E= 0;

e671.. x627*x595 + x552 + x653 - x725 =E= 0;

e672.. x628*x595 + x553 + x654 - x726 =E= 0;

e673.. x627*x596 + x552 + x655 - x727 =E= 0;

e674.. x628*x596 + x553 + x656 - x728 =E= 0;

e675.. x627*x597 + x552 + x657 - x729 =E= 0;

e676.. x628*x597 + x553 + x658 - x730 =E= 0;

e677.. x629*x598 + x554 + x659 - x731 =E= 0;

e678.. x630*x598 + x555 + x660 - x732 =E= 0;

e679.. x629*x599 + x554 + x661 - x733 =E= 0;

e680.. x630*x599 + x555 + x662 - x734 =E= 0;

e681.. x629*x600 + x554 + x663 - x735 =E= 0;

e682.. x630*x600 + x555 + x664 - x736 =E= 0;

e683.. x629*x601 + x554 + x665 - x737 =E= 0;

e684.. x630*x601 + x555 + x666 - x738 =E= 0;

e685.. x629*x602 + x554 + x667 - x739 =E= 0;

e686.. x630*x602 + x555 + x668 - x740 =E= 0;

e687.. x629*x603 + x554 + x669 - x741 =E= 0;

e688.. x630*x603 + x555 + x670 - x742 =E= 0;

e689.. x631*x604 + x556 + x671 - x743 =E= 0;

e690.. x632*x604 + x557 + x672 - x744 =E= 0;

e691.. x631*x605 + x556 + x673 - x745 =E= 0;

e692.. x632*x605 + x557 + x674 - x746 =E= 0;

e693.. x631*x606 + x556 + x675 - x747 =E= 0;

e694.. x632*x606 + x557 + x676 - x748 =E= 0;

e695.. x631*x607 + x556 + x677 - x749 =E= 0;

e696.. x632*x607 + x557 + x678 - x750 =E= 0;

e697.. x631*x608 + x556 + x679 - x751 =E= 0;

e698.. x632*x608 + x557 + x680 - x752 =E= 0;

e699.. x631*x609 + x556 + x681 - x753 =E= 0;

e700.. x632*x609 + x557 + x682 - x754 =E= 0;

e701.. x633*x610 + x558 + x683 - x755 =E= 0;

e702.. x634*x610 + x559 + x684 - x756 =E= 0;

e703.. x633*x611 + x558 + x685 - x757 =E= 0;

e704.. x634*x611 + x559 + x686 - x758 =E= 0;

e705.. x633*x612 + x558 + x687 - x759 =E= 0;

e706.. x634*x612 + x559 + x688 - x760 =E= 0;

e707.. x633*x613 + x558 + x689 - x761 =E= 0;

e708.. x634*x613 + x559 + x690 - x762 =E= 0;

e709.. x633*x614 + x558 + x691 - x763 =E= 0;

e710.. x634*x614 + x559 + x692 - x764 =E= 0;

e711.. x633*x615 + x558 + x693 - x765 =E= 0;

e712.. x634*x615 + x559 + x694 - x766 =E= 0;

e713.. x635*x616 + x560 + x695 - x767 =E= 0;

e714.. x636*x616 + x561 + x696 - x768 =E= 0;

e715.. x635*x617 + x560 + x697 - x769 =E= 0;

e716.. x636*x617 + x561 + x698 - x770 =E= 0;

e717.. x635*x618 + x560 + x699 - x771 =E= 0;

e718.. x636*x618 + x561 + x700 - x772 =E= 0;

e719.. x635*x619 + x560 + x701 - x773 =E= 0;

e720.. x636*x619 + x561 + x702 - x774 =E= 0;

e721.. x635*x620 + x560 + x703 - x775 =E= 0;

e722.. x636*x620 + x561 + x704 - x776 =E= 0;

e723.. x635*x621 + x560 + x705 - x777 =E= 0;

e724.. x636*x621 + x561 + x706 - x778 =E= 0;

e725.. x627*x622 + x552 + x707 - x717 =E= 0;

e726.. x628*x622 + x553 + x708 - x718 =E= 0;

e727.. x629*x623 + x554 + x709 - x717 =E= 0;

e728.. x630*x623 + x555 + x710 - x718 =E= 0;

e729.. x631*x624 + x556 + x711 - x717 =E= 0;

e730.. x632*x624 + x557 + x712 - x718 =E= 0;

e731.. x633*x625 + x558 + x713 - x717 =E= 0;

e732.. x634*x625 + x559 + x714 - x718 =E= 0;

e733.. x635*x626 + x560 + x715 - x717 =E= 0;

e734.. x636*x626 + x561 + x716 - x718 =E= 0;

e735.. -x562*x637 + x647 =E= 0;

e736.. -x562*x638 + x648 =E= 0;

e737.. -x563*x637 + x649 =E= 0;

e738.. -x563*x638 + x650 =E= 0;

e739.. -x564*x637 + x651 =E= 0;

e740.. -x564*x638 + x652 =E= 0;

e741.. -x565*x637 + x653 =E= 0;

e742.. -x565*x638 + x654 =E= 0;

e743.. -x566*x637 + x655 =E= 0;

e744.. -x566*x638 + x656 =E= 0;

e745.. -x567*x637 + x657 =E= 0;

e746.. -x567*x638 + x658 =E= 0;

e747.. -x568*x639 + x659 =E= 0;

e748.. -x568*x640 + x660 =E= 0;

e749.. -x569*x639 + x661 =E= 0;

e750.. -x569*x640 + x662 =E= 0;

e751.. -x570*x639 + x663 =E= 0;

e752.. -x570*x640 + x664 =E= 0;

e753.. -x571*x639 + x665 =E= 0;

e754.. -x571*x640 + x666 =E= 0;

e755.. -x572*x639 + x667 =E= 0;

e756.. -x572*x640 + x668 =E= 0;

e757.. -x573*x639 + x669 =E= 0;

e758.. -x573*x640 + x670 =E= 0;

e759.. -x574*x641 + x671 =E= 0;

e760.. -x574*x642 + x672 =E= 0;

e761.. -x575*x641 + x673 =E= 0;

e762.. -x575*x642 + x674 =E= 0;

e763.. -x576*x641 + x675 =E= 0;

e764.. -x576*x642 + x676 =E= 0;

e765.. -x577*x641 + x677 =E= 0;

e766.. -x577*x642 + x678 =E= 0;

e767.. -x578*x641 + x679 =E= 0;

e768.. -x578*x642 + x680 =E= 0;

e769.. -x579*x641 + x681 =E= 0;

e770.. -x579*x642 + x682 =E= 0;

e771.. -x580*x643 + x683 =E= 0;

e772.. -x580*x644 + x684 =E= 0;

e773.. -x581*x643 + x685 =E= 0;

e774.. -x581*x644 + x686 =E= 0;

e775.. -x582*x643 + x687 =E= 0;

e776.. -x582*x644 + x688 =E= 0;

e777.. -x583*x643 + x689 =E= 0;

e778.. -x583*x644 + x690 =E= 0;

e779.. -x584*x643 + x691 =E= 0;

e780.. -x584*x644 + x692 =E= 0;

e781.. -x585*x643 + x693 =E= 0;

e782.. -x585*x644 + x694 =E= 0;

e783.. -x586*x645 + x695 =E= 0;

e784.. -x586*x646 + x696 =E= 0;

e785.. -x587*x645 + x697 =E= 0;

e786.. -x587*x646 + x698 =E= 0;

e787.. -x588*x645 + x699 =E= 0;

e788.. -x588*x646 + x700 =E= 0;

e789.. -x589*x645 + x701 =E= 0;

e790.. -x589*x646 + x702 =E= 0;

e791.. -x590*x645 + x703 =E= 0;

e792.. -x590*x646 + x704 =E= 0;

e793.. -x591*x645 + x705 =E= 0;

e794.. -x591*x646 + x706 =E= 0;

e795..    1.2*x637 + x707 =E= 0;

e796..    1.2*x638 + x708 =E= 0;

e797..    1.2*x639 + x709 =E= 0;

e798..    1.2*x640 + x710 =E= 0;

e799..    1.2*x641 + x711 =E= 0;

e800..    1.2*x642 + x712 =E= 0;

e801..    1.2*x643 + x713 =E= 0;

e802..    1.2*x644 + x714 =E= 0;

e803..    1.2*x645 + x715 =E= 0;

e804..    1.2*x646 + x716 =E= 0;

e805..    x717 =L= 4;

e806..    x718 =L= 2;

e807..    x779 - x781 =L= 0;

e808..    x779 - x783 =L= 0;

e809..    x779 - x785 =L= 0;

e810..    x779 - x787 =L= 0;

e811..    x781 - x783 =L= 0;

e812..    x781 - x785 =L= 0;

e813..    x781 - x787 =L= 0;

e814..    x783 - x785 =L= 0;

e815..    x783 - x787 =L= 0;

e816..    x785 - x787 =L= 0;

* set non-default bounds
x1.lo = 1.44; x1.up = 32;
x2.lo = -1; x2.up = 1;
x3.lo = -1; x3.up = 1;
x4.lo = -1; x4.up = 1;
x5.lo = -1; x5.up = 1;
x6.lo = -1; x6.up = 1;
x7.lo = -1; x7.up = 1;
x8.lo = -1; x8.up = 1;
x9.lo = -1; x9.up = 1;
x10.lo = -1; x10.up = 1;
x11.lo = -1; x11.up = 1;
x12.up = 8;
x13.up = 4;
x14.up = 8;
x15.up = 4;
x16.up = 8;
x17.up = 4;
x18.up = 8;
x19.up = 4;
x20.up = 8;
x21.up = 4;
x22.up = 8;
x23.up = 4;
x24.up = 8;
x25.up = 4;
x26.up = 8;
x27.up = 4;
x28.up = 8;
x29.up = 4;
x30.up = 8;
x31.up = 4;
x32.up = 8.94427190999916;
x33.up = 8.94427190999916;
x34.up = 8.94427190999916;
x35.up = 8.94427190999916;
x36.up = 8.94427190999916;
x37.up = 8.94427190999916;
x38.up = 8.94427190999916;
x39.up = 8.94427190999916;
x40.up = 8.94427190999916;
x41.up = 8.94427190999916;
x42.up = 8.94427190999916;
x43.up = 8.94427190999916;
x44.up = 8.94427190999916;
x45.up = 8.94427190999916;
x46.up = 8.94427190999916;
x47.up = 8.94427190999916;
x48.up = 8.94427190999916;
x49.up = 8.94427190999916;
x50.up = 8.94427190999916;
x51.up = 8.94427190999916;
x52.up = 8.94427190999916;
x53.up = 8.94427190999916;
x54.up = 8.94427190999916;
x55.up = 8.94427190999916;
x56.up = 8.94427190999916;
x57.up = 8.94427190999916;
x58.up = 8.94427190999916;
x59.up = 8.94427190999916;
x60.up = 8.94427190999916;
x61.up = 8.94427190999916;
x62.up = 8.94427190999916;
x63.up = 8.94427190999916;
x64.up = 8.94427190999916;
x65.up = 8.94427190999916;
x66.up = 8.94427190999916;
x67.up = 8.94427190999916;
x68.up = 8.94427190999916;
x69.up = 8.94427190999916;
x70.up = 8.94427190999916;
x71.up = 8.94427190999916;
x72.up = 8.94427190999916;
x73.up = 8.94427190999916;
x74.up = 8.94427190999916;
x75.up = 8.94427190999916;
x76.up = 8.94427190999916;
x77.up = 8.94427190999916;
x78.up = 8.94427190999916;
x79.up = 8.94427190999916;
x80.up = 8.94427190999916;
x81.up = 8.94427190999916;
x82.up = 8.94427190999916;
x83.up = 8.94427190999916;
x84.up = 8.94427190999916;
x85.up = 8.94427190999916;
x86.up = 8.94427190999916;
x87.up = 8.94427190999916;
x88.up = 8.94427190999916;
x89.up = 8.94427190999916;
x90.up = 8.94427190999916;
x91.up = 8.94427190999916;
x92.up = 8.94427190999916;
x93.up = 8.94427190999916;
x94.up = 8.94427190999916;
x95.up = 8.94427190999916;
x96.up = 8.94427190999916;
x97.up = 8.94427190999916;
x98.up = 8.94427190999916;
x99.up = 8.94427190999916;
x100.up = 8.94427190999916;
x101.up = 8.94427190999916;
x102.up = 8.94427190999916;
x103.up = 8.94427190999916;
x104.up = 8.94427190999916;
x105.up = 8.94427190999916;
x106.up = 8.94427190999916;
x107.up = 8.94427190999916;
x108.up = 8.94427190999916;
x109.up = 8.94427190999916;
x110.up = 8.94427190999916;
x111.up = 8.94427190999916;
x112.up = 8.94427190999916;
x113.up = 8.94427190999916;
x114.up = 8.94427190999916;
x115.up = 8.94427190999916;
x116.up = 8.94427190999916;
x117.up = 8.94427190999916;
x118.up = 8.94427190999916;
x119.up = 8.94427190999916;
x120.up = 8.94427190999916;
x121.up = 8.94427190999916;
x122.up = 8.94427190999916;
x123.up = 8.94427190999916;
x124.up = 8.94427190999916;
x125.up = 8.94427190999916;
x126.up = 8.94427190999916;
x127.up = 8.94427190999916;
x128.up = 8.94427190999916;
x129.up = 8.94427190999916;
x130.up = 8.94427190999916;
x131.up = 8.94427190999916;
x132.up = 8.94427190999916;
x133.up = 8.94427190999916;
x134.up = 8.94427190999916;
x135.up = 8.94427190999916;
x136.up = 8.94427190999916;
x137.up = 8.94427190999916;
x138.up = 8.94427190999916;
x139.up = 8.94427190999916;
x140.up = 8.94427190999916;
x141.up = 8.94427190999916;
x142.up = 8.94427190999916;
x143.up = 8.94427190999916;
x144.up = 8.94427190999916;
x145.up = 8.94427190999916;
x146.up = 8.94427190999916;
x147.up = 8.94427190999916;
x148.up = 8.94427190999916;
x149.up = 8.94427190999916;
x150.up = 8.94427190999916;
x151.up = 8.94427190999916;
x152.lo = -8.94427190999916; x152.up = 8.94427190999916;
x153.lo = -8.94427190999916; x153.up = 8.94427190999916;
x154.lo = -8.94427190999916; x154.up = 8.94427190999916;
x155.lo = -8.94427190999916; x155.up = 8.94427190999916;
x156.lo = -8.94427190999916; x156.up = 8.94427190999916;
x157.lo = -8.94427190999916; x157.up = 8.94427190999916;
x158.lo = -8.94427190999916; x158.up = 8.94427190999916;
x159.lo = -8.94427190999916; x159.up = 8.94427190999916;
x160.lo = -8.94427190999916; x160.up = 8.94427190999916;
x161.lo = -8.94427190999916; x161.up = 8.94427190999916;
x162.lo = -8.94427190999916; x162.up = 8.94427190999916;
x163.lo = -8.94427190999916; x163.up = 8.94427190999916;
x164.lo = -8.94427190999916; x164.up = 8.94427190999916;
x165.lo = -8.94427190999916; x165.up = 8.94427190999916;
x166.lo = -8.94427190999916; x166.up = 8.94427190999916;
x167.lo = -8.94427190999916; x167.up = 8.94427190999916;
x168.lo = -8.94427190999916; x168.up = 8.94427190999916;
x169.lo = -8.94427190999916; x169.up = 8.94427190999916;
x170.lo = -8.94427190999916; x170.up = 8.94427190999916;
x171.lo = -8.94427190999916; x171.up = 8.94427190999916;
x172.lo = -8.94427190999916; x172.up = 8.94427190999916;
x173.lo = -8.94427190999916; x173.up = 8.94427190999916;
x174.lo = -8.94427190999916; x174.up = 8.94427190999916;
x175.lo = -8.94427190999916; x175.up = 8.94427190999916;
x176.lo = -8.94427190999916; x176.up = 8.94427190999916;
x177.lo = -8.94427190999916; x177.up = 8.94427190999916;
x178.lo = -8.94427190999916; x178.up = 8.94427190999916;
x179.lo = -8.94427190999916; x179.up = 8.94427190999916;
x180.lo = -8.94427190999916; x180.up = 8.94427190999916;
x181.lo = -8.94427190999916; x181.up = 8.94427190999916;
x182.lo = -8.94427190999916; x182.up = 8.94427190999916;
x183.lo = -8.94427190999916; x183.up = 8.94427190999916;
x184.lo = -8.94427190999916; x184.up = 8.94427190999916;
x185.lo = -8.94427190999916; x185.up = 8.94427190999916;
x186.lo = -8.94427190999916; x186.up = 8.94427190999916;
x187.lo = -8.94427190999916; x187.up = 8.94427190999916;
x188.lo = -8.94427190999916; x188.up = 8.94427190999916;
x189.lo = -8.94427190999916; x189.up = 8.94427190999916;
x190.lo = -8.94427190999916; x190.up = 8.94427190999916;
x191.lo = -8.94427190999916; x191.up = 8.94427190999916;
x192.lo = -8.94427190999916; x192.up = 8.94427190999916;
x193.lo = -8.94427190999916; x193.up = 8.94427190999916;
x194.lo = -8.94427190999916; x194.up = 8.94427190999916;
x195.lo = -8.94427190999916; x195.up = 8.94427190999916;
x196.lo = -8.94427190999916; x196.up = 8.94427190999916;
x197.lo = -8.94427190999916; x197.up = 8.94427190999916;
x198.lo = -8.94427190999916; x198.up = 8.94427190999916;
x199.lo = -8.94427190999916; x199.up = 8.94427190999916;
x200.lo = -8.94427190999916; x200.up = 8.94427190999916;
x201.lo = -8.94427190999916; x201.up = 8.94427190999916;
x202.lo = -8.94427190999916; x202.up = 8.94427190999916;
x203.lo = -8.94427190999916; x203.up = 8.94427190999916;
x204.lo = -8.94427190999916; x204.up = 8.94427190999916;
x205.lo = -8.94427190999916; x205.up = 8.94427190999916;
x206.lo = -8.94427190999916; x206.up = 8.94427190999916;
x207.lo = -8.94427190999916; x207.up = 8.94427190999916;
x208.lo = -8.94427190999916; x208.up = 8.94427190999916;
x209.lo = -8.94427190999916; x209.up = 8.94427190999916;
x210.lo = -8.94427190999916; x210.up = 8.94427190999916;
x211.lo = -8.94427190999916; x211.up = 8.94427190999916;
x212.lo = -8.94427190999916; x212.up = 8.94427190999916;
x213.lo = -8.94427190999916; x213.up = 8.94427190999916;
x214.lo = -8.94427190999916; x214.up = 8.94427190999916;
x215.lo = -8.94427190999916; x215.up = 8.94427190999916;
x216.lo = -8.94427190999916; x216.up = 8.94427190999916;
x217.lo = -8.94427190999916; x217.up = 8.94427190999916;
x218.lo = -8.94427190999916; x218.up = 8.94427190999916;
x219.lo = -8.94427190999916; x219.up = 8.94427190999916;
x220.lo = -8.94427190999916; x220.up = 8.94427190999916;
x221.lo = -8.94427190999916; x221.up = 8.94427190999916;
x222.lo = -8.94427190999916; x222.up = 8.94427190999916;
x223.lo = -8.94427190999916; x223.up = 8.94427190999916;
x224.lo = -8.94427190999916; x224.up = 8.94427190999916;
x225.lo = -8.94427190999916; x225.up = 8.94427190999916;
x226.lo = -8.94427190999916; x226.up = 8.94427190999916;
x227.lo = -8.94427190999916; x227.up = 8.94427190999916;
x228.lo = -8.94427190999916; x228.up = 8.94427190999916;
x229.lo = -8.94427190999916; x229.up = 8.94427190999916;
x230.lo = -8.94427190999916; x230.up = 8.94427190999916;
x231.lo = -8.94427190999916; x231.up = 8.94427190999916;
x232.lo = -8.94427190999916; x232.up = 8.94427190999916;
x233.lo = -8.94427190999916; x233.up = 8.94427190999916;
x234.lo = -8.94427190999916; x234.up = 8.94427190999916;
x235.lo = -8.94427190999916; x235.up = 8.94427190999916;
x236.lo = -8.94427190999916; x236.up = 8.94427190999916;
x237.lo = -8.94427190999916; x237.up = 8.94427190999916;
x238.lo = -8.94427190999916; x238.up = 8.94427190999916;
x239.lo = -8.94427190999916; x239.up = 8.94427190999916;
x240.lo = -8.94427190999916; x240.up = 8.94427190999916;
x241.lo = -8.94427190999916; x241.up = 8.94427190999916;
x242.lo = -8.94427190999916; x242.up = 8.94427190999916;
x243.lo = -8.94427190999916; x243.up = 8.94427190999916;
x244.lo = -8.94427190999916; x244.up = 8.94427190999916;
x245.lo = -8.94427190999916; x245.up = 8.94427190999916;
x246.lo = -8.94427190999916; x246.up = 8.94427190999916;
x247.lo = -8.94427190999916; x247.up = 8.94427190999916;
x248.lo = -8.94427190999916; x248.up = 8.94427190999916;
x249.lo = -8.94427190999916; x249.up = 8.94427190999916;
x250.lo = -8.94427190999916; x250.up = 8.94427190999916;
x251.lo = -8.94427190999916; x251.up = 8.94427190999916;
x252.lo = -8.94427190999916; x252.up = 8.94427190999916;
x253.lo = -8.94427190999916; x253.up = 8.94427190999916;
x254.lo = -8.94427190999916; x254.up = 8.94427190999916;
x255.lo = -8.94427190999916; x255.up = 8.94427190999916;
x256.lo = -8.94427190999916; x256.up = 8.94427190999916;
x257.lo = -8.94427190999916; x257.up = 8.94427190999916;
x258.lo = -8.94427190999916; x258.up = 8.94427190999916;
x259.lo = -8.94427190999916; x259.up = 8.94427190999916;
x260.lo = -8.94427190999916; x260.up = 8.94427190999916;
x261.lo = -8.94427190999916; x261.up = 8.94427190999916;
x262.lo = -8.94427190999916; x262.up = 8.94427190999916;
x263.lo = -8.94427190999916; x263.up = 8.94427190999916;
x264.lo = -8.94427190999916; x264.up = 8.94427190999916;
x265.lo = -8.94427190999916; x265.up = 8.94427190999916;
x266.lo = -8.94427190999916; x266.up = 8.94427190999916;
x267.lo = -8.94427190999916; x267.up = 8.94427190999916;
x268.lo = -8.94427190999916; x268.up = 8.94427190999916;
x269.lo = -8.94427190999916; x269.up = 8.94427190999916;
x270.lo = -8.94427190999916; x270.up = 8.94427190999916;
x271.lo = -8.94427190999916; x271.up = 8.94427190999916;
x272.lo = -1; x272.up = 1;
x273.lo = -1; x273.up = 1;
x274.lo = -1; x274.up = 1;
x275.lo = -1; x275.up = 1;
x276.lo = -1; x276.up = 1;
x277.lo = -1; x277.up = 1;
x278.lo = -1; x278.up = 1;
x279.lo = -1; x279.up = 1;
x280.lo = -1; x280.up = 1;
x281.lo = -1; x281.up = 1;
x282.lo = -1; x282.up = 1;
x283.lo = -1; x283.up = 1;
x284.lo = -1; x284.up = 1;
x285.lo = -1; x285.up = 1;
x286.lo = -1; x286.up = 1;
x287.lo = -1; x287.up = 1;
x288.lo = -1; x288.up = 1;
x289.lo = -1; x289.up = 1;
x290.lo = -1; x290.up = 1;
x291.lo = -1; x291.up = 1;
x292.lo = -1; x292.up = 1;
x293.lo = -1; x293.up = 1;
x294.lo = -1; x294.up = 1;
x295.lo = -1; x295.up = 1;
x296.lo = -1; x296.up = 1;
x297.lo = -1; x297.up = 1;
x298.lo = -1; x298.up = 1;
x299.lo = -1; x299.up = 1;
x300.lo = -1; x300.up = 1;
x301.lo = -1; x301.up = 1;
x302.lo = -1; x302.up = 1;
x303.lo = -1; x303.up = 1;
x304.lo = -1; x304.up = 1;
x305.lo = -1; x305.up = 1;
x306.lo = -1; x306.up = 1;
x307.lo = -1; x307.up = 1;
x308.lo = -1; x308.up = 1;
x309.lo = -1; x309.up = 1;
x310.lo = -1; x310.up = 1;
x311.lo = -1; x311.up = 1;
x312.lo = -8.94427190999916; x312.up = 8.94427190999916;
x313.lo = -8.94427190999916; x313.up = 8.94427190999916;
x314.lo = -8.94427190999916; x314.up = 8.94427190999916;
x315.lo = -8.94427190999916; x315.up = 8.94427190999916;
x316.lo = -8.94427190999916; x316.up = 8.94427190999916;
x317.lo = -8.94427190999916; x317.up = 8.94427190999916;
x318.lo = -8.94427190999916; x318.up = 8.94427190999916;
x319.lo = -8.94427190999916; x319.up = 8.94427190999916;
x320.lo = -8.94427190999916; x320.up = 8.94427190999916;
x321.lo = -8.94427190999916; x321.up = 8.94427190999916;
x322.lo = -8.94427190999916; x322.up = 8.94427190999916;
x323.lo = -8.94427190999916; x323.up = 8.94427190999916;
x324.lo = -8.94427190999916; x324.up = 8.94427190999916;
x325.lo = -8.94427190999916; x325.up = 8.94427190999916;
x326.lo = -8.94427190999916; x326.up = 8.94427190999916;
x327.lo = -8.94427190999916; x327.up = 8.94427190999916;
x328.lo = -8.94427190999916; x328.up = 8.94427190999916;
x329.lo = -8.94427190999916; x329.up = 8.94427190999916;
x330.lo = -8.94427190999916; x330.up = 8.94427190999916;
x331.lo = -8.94427190999916; x331.up = 8.94427190999916;
x332.lo = -8.94427190999916; x332.up = 8.94427190999916;
x333.lo = -8.94427190999916; x333.up = 8.94427190999916;
x334.lo = -8.94427190999916; x334.up = 8.94427190999916;
x335.lo = -8.94427190999916; x335.up = 8.94427190999916;
x336.lo = -8.94427190999916; x336.up = 8.94427190999916;
x337.lo = -8.94427190999916; x337.up = 8.94427190999916;
x338.lo = -8.94427190999916; x338.up = 8.94427190999916;
x339.lo = -8.94427190999916; x339.up = 8.94427190999916;
x340.lo = -8.94427190999916; x340.up = 8.94427190999916;
x341.lo = -8.94427190999916; x341.up = 8.94427190999916;
x342.lo = -8.94427190999916; x342.up = 8.94427190999916;
x343.lo = -8.94427190999916; x343.up = 8.94427190999916;
x344.lo = -8.94427190999916; x344.up = 8.94427190999916;
x345.lo = -8.94427190999916; x345.up = 8.94427190999916;
x346.lo = -8.94427190999916; x346.up = 8.94427190999916;
x347.lo = -8.94427190999916; x347.up = 8.94427190999916;
x348.lo = -8.94427190999916; x348.up = 8.94427190999916;
x349.lo = -8.94427190999916; x349.up = 8.94427190999916;
x350.lo = -8.94427190999916; x350.up = 8.94427190999916;
x351.lo = -8.94427190999916; x351.up = 8.94427190999916;
x352.lo = -8.94427190999916; x352.up = 8.94427190999916;
x353.lo = -8.94427190999916; x353.up = 8.94427190999916;
x354.lo = -8.94427190999916; x354.up = 8.94427190999916;
x355.lo = -8.94427190999916; x355.up = 8.94427190999916;
x356.lo = -8.94427190999916; x356.up = 8.94427190999916;
x357.lo = -8.94427190999916; x357.up = 8.94427190999916;
x358.lo = -8.94427190999916; x358.up = 8.94427190999916;
x359.lo = -8.94427190999916; x359.up = 8.94427190999916;
x360.lo = -8.94427190999916; x360.up = 8.94427190999916;
x361.lo = -8.94427190999916; x361.up = 8.94427190999916;
x362.lo = -8.94427190999916; x362.up = 8.94427190999916;
x363.lo = -8.94427190999916; x363.up = 8.94427190999916;
x364.lo = -8.94427190999916; x364.up = 8.94427190999916;
x365.lo = -8.94427190999916; x365.up = 8.94427190999916;
x366.lo = -8.94427190999916; x366.up = 8.94427190999916;
x367.lo = -8.94427190999916; x367.up = 8.94427190999916;
x368.lo = -8.94427190999916; x368.up = 8.94427190999916;
x369.lo = -8.94427190999916; x369.up = 8.94427190999916;
x370.lo = -8.94427190999916; x370.up = 8.94427190999916;
x371.lo = -8.94427190999916; x371.up = 8.94427190999916;
x372.lo = -8.94427190999916; x372.up = 8.94427190999916;
x373.lo = -8.94427190999916; x373.up = 8.94427190999916;
x374.lo = -8.94427190999916; x374.up = 8.94427190999916;
x375.lo = -8.94427190999916; x375.up = 8.94427190999916;
x376.lo = -8.94427190999916; x376.up = 8.94427190999916;
x377.lo = -8.94427190999916; x377.up = 8.94427190999916;
x378.lo = -8.94427190999916; x378.up = 8.94427190999916;
x379.lo = -8.94427190999916; x379.up = 8.94427190999916;
x380.lo = -8.94427190999916; x380.up = 8.94427190999916;
x381.lo = -8.94427190999916; x381.up = 8.94427190999916;
x382.lo = -8.94427190999916; x382.up = 8.94427190999916;
x383.lo = -8.94427190999916; x383.up = 8.94427190999916;
x384.lo = -8.94427190999916; x384.up = 8.94427190999916;
x385.lo = -8.94427190999916; x385.up = 8.94427190999916;
x386.lo = -8.94427190999916; x386.up = 8.94427190999916;
x387.lo = -8.94427190999916; x387.up = 8.94427190999916;
x388.lo = -8.94427190999916; x388.up = 8.94427190999916;
x389.lo = -8.94427190999916; x389.up = 8.94427190999916;
x390.lo = -8.94427190999916; x390.up = 8.94427190999916;
x391.lo = -8.94427190999916; x391.up = 8.94427190999916;
x392.lo = -8.94427190999916; x392.up = 8.94427190999916;
x393.lo = -8.94427190999916; x393.up = 8.94427190999916;
x394.lo = -8.94427190999916; x394.up = 8.94427190999916;
x395.lo = -8.94427190999916; x395.up = 8.94427190999916;
x396.lo = -8.94427190999916; x396.up = 8.94427190999916;
x397.lo = -8.94427190999916; x397.up = 8.94427190999916;
x398.lo = -8.94427190999916; x398.up = 8.94427190999916;
x399.lo = -8.94427190999916; x399.up = 8.94427190999916;
x400.lo = -8.94427190999916; x400.up = 8.94427190999916;
x401.lo = -8.94427190999916; x401.up = 8.94427190999916;
x402.lo = -8.94427190999916; x402.up = 8.94427190999916;
x403.lo = -8.94427190999916; x403.up = 8.94427190999916;
x404.lo = -8.94427190999916; x404.up = 8.94427190999916;
x405.lo = -8.94427190999916; x405.up = 8.94427190999916;
x406.lo = -8.94427190999916; x406.up = 8.94427190999916;
x407.lo = -8.94427190999916; x407.up = 8.94427190999916;
x408.lo = -8.94427190999916; x408.up = 8.94427190999916;
x409.lo = -8.94427190999916; x409.up = 8.94427190999916;
x410.lo = -8.94427190999916; x410.up = 8.94427190999916;
x411.lo = -8.94427190999916; x411.up = 8.94427190999916;
x412.lo = -8.94427190999916; x412.up = 8.94427190999916;
x413.lo = -8.94427190999916; x413.up = 8.94427190999916;
x414.lo = -8.94427190999916; x414.up = 8.94427190999916;
x415.lo = -8.94427190999916; x415.up = 8.94427190999916;
x416.lo = -8.94427190999916; x416.up = 8.94427190999916;
x417.lo = -8.94427190999916; x417.up = 8.94427190999916;
x418.lo = -8.94427190999916; x418.up = 8.94427190999916;
x419.lo = -8.94427190999916; x419.up = 8.94427190999916;
x420.lo = -8.94427190999916; x420.up = 8.94427190999916;
x421.lo = -8.94427190999916; x421.up = 8.94427190999916;
x422.lo = -8.94427190999916; x422.up = 8.94427190999916;
x423.lo = -8.94427190999916; x423.up = 8.94427190999916;
x424.lo = -8.94427190999916; x424.up = 8.94427190999916;
x425.lo = -8.94427190999916; x425.up = 8.94427190999916;
x426.lo = -8.94427190999916; x426.up = 8.94427190999916;
x427.lo = -8.94427190999916; x427.up = 8.94427190999916;
x428.lo = -8.94427190999916; x428.up = 8.94427190999916;
x429.lo = -8.94427190999916; x429.up = 8.94427190999916;
x430.lo = -8.94427190999916; x430.up = 8.94427190999916;
x431.lo = -8.94427190999916; x431.up = 8.94427190999916;
x432.lo = -8.94427190999916; x432.up = 8.94427190999916;
x433.lo = -8.94427190999916; x433.up = 8.94427190999916;
x434.lo = -8.94427190999916; x434.up = 8.94427190999916;
x435.lo = -8.94427190999916; x435.up = 8.94427190999916;
x436.lo = -8.94427190999916; x436.up = 8.94427190999916;
x437.lo = -8.94427190999916; x437.up = 8.94427190999916;
x438.lo = -8.94427190999916; x438.up = 8.94427190999916;
x439.lo = -8.94427190999916; x439.up = 8.94427190999916;
x440.lo = -8.94427190999916; x440.up = 8.94427190999916;
x441.lo = -8.94427190999916; x441.up = 8.94427190999916;
x442.lo = -8.94427190999916; x442.up = 8.94427190999916;
x443.lo = -8.94427190999916; x443.up = 8.94427190999916;
x444.lo = -8.94427190999916; x444.up = 8.94427190999916;
x445.lo = -8.94427190999916; x445.up = 8.94427190999916;
x446.lo = -8.94427190999916; x446.up = 8.94427190999916;
x447.lo = -8.94427190999916; x447.up = 8.94427190999916;
x448.lo = -8.94427190999916; x448.up = 8.94427190999916;
x449.lo = -8.94427190999916; x449.up = 8.94427190999916;
x450.lo = -8.94427190999916; x450.up = 8.94427190999916;
x451.lo = -8.94427190999916; x451.up = 8.94427190999916;
x452.lo = -8.94427190999916; x452.up = 8.94427190999916;
x453.lo = -8.94427190999916; x453.up = 8.94427190999916;
x454.lo = -8.94427190999916; x454.up = 8.94427190999916;
x455.lo = -8.94427190999916; x455.up = 8.94427190999916;
x456.lo = -8.94427190999916; x456.up = 8.94427190999916;
x457.lo = -8.94427190999916; x457.up = 8.94427190999916;
x458.lo = -8.94427190999916; x458.up = 8.94427190999916;
x459.lo = -8.94427190999916; x459.up = 8.94427190999916;
x460.lo = -8.94427190999916; x460.up = 8.94427190999916;
x461.lo = -8.94427190999916; x461.up = 8.94427190999916;
x462.lo = -8.94427190999916; x462.up = 8.94427190999916;
x463.lo = -8.94427190999916; x463.up = 8.94427190999916;
x464.lo = -8.94427190999916; x464.up = 8.94427190999916;
x465.lo = -8.94427190999916; x465.up = 8.94427190999916;
x466.lo = -8.94427190999916; x466.up = 8.94427190999916;
x467.lo = -8.94427190999916; x467.up = 8.94427190999916;
x468.lo = -8.94427190999916; x468.up = 8.94427190999916;
x469.lo = -8.94427190999916; x469.up = 8.94427190999916;
x470.lo = -8.94427190999916; x470.up = 8.94427190999916;
x471.lo = -8.94427190999916; x471.up = 8.94427190999916;
x472.lo = -8.94427190999916; x472.up = 8.94427190999916;
x473.lo = -8.94427190999916; x473.up = 8.94427190999916;
x474.lo = -8.94427190999916; x474.up = 8.94427190999916;
x475.lo = -8.94427190999916; x475.up = 8.94427190999916;
x476.lo = -8.94427190999916; x476.up = 8.94427190999916;
x477.lo = -8.94427190999916; x477.up = 8.94427190999916;
x478.lo = -8.94427190999916; x478.up = 8.94427190999916;
x479.lo = -8.94427190999916; x479.up = 8.94427190999916;
x480.lo = -8.94427190999916; x480.up = 8.94427190999916;
x481.lo = -8.94427190999916; x481.up = 8.94427190999916;
x482.lo = -8.94427190999916; x482.up = 8.94427190999916;
x483.lo = -8.94427190999916; x483.up = 8.94427190999916;
x484.lo = -8.94427190999916; x484.up = 8.94427190999916;
x485.lo = -8.94427190999916; x485.up = 8.94427190999916;
x486.lo = -8.94427190999916; x486.up = 8.94427190999916;
x487.lo = -8.94427190999916; x487.up = 8.94427190999916;
x488.lo = -8.94427190999916; x488.up = 8.94427190999916;
x489.lo = -8.94427190999916; x489.up = 8.94427190999916;
x490.lo = -8.94427190999916; x490.up = 8.94427190999916;
x491.lo = -8.94427190999916; x491.up = 8.94427190999916;
x492.lo = -8.94427190999916; x492.up = 8.94427190999916;
x493.lo = -8.94427190999916; x493.up = 8.94427190999916;
x494.lo = -8.94427190999916; x494.up = 8.94427190999916;
x495.lo = -8.94427190999916; x495.up = 8.94427190999916;
x496.lo = -8.94427190999916; x496.up = 8.94427190999916;
x497.lo = -8.94427190999916; x497.up = 8.94427190999916;
x498.lo = -8.94427190999916; x498.up = 8.94427190999916;
x499.lo = -8.94427190999916; x499.up = 8.94427190999916;
x500.lo = -8.94427190999916; x500.up = 8.94427190999916;
x501.lo = -8.94427190999916; x501.up = 8.94427190999916;
x502.lo = -8.94427190999916; x502.up = 8.94427190999916;
x503.lo = -8.94427190999916; x503.up = 8.94427190999916;
x504.lo = -8.94427190999916; x504.up = 8.94427190999916;
x505.lo = -8.94427190999916; x505.up = 8.94427190999916;
x506.lo = -8.94427190999916; x506.up = 8.94427190999916;
x507.lo = -8.94427190999916; x507.up = 8.94427190999916;
x508.lo = -8.94427190999916; x508.up = 8.94427190999916;
x509.lo = -8.94427190999916; x509.up = 8.94427190999916;
x510.lo = -8.94427190999916; x510.up = 8.94427190999916;
x511.lo = -8.94427190999916; x511.up = 8.94427190999916;
x512.lo = -8.94427190999916; x512.up = 8.94427190999916;
x513.lo = -8.94427190999916; x513.up = 8.94427190999916;
x514.lo = -8.94427190999916; x514.up = 8.94427190999916;
x515.lo = -8.94427190999916; x515.up = 8.94427190999916;
x516.lo = -8.94427190999916; x516.up = 8.94427190999916;
x517.lo = -8.94427190999916; x517.up = 8.94427190999916;
x518.lo = -8.94427190999916; x518.up = 8.94427190999916;
x519.lo = -8.94427190999916; x519.up = 8.94427190999916;
x520.lo = -8.94427190999916; x520.up = 8.94427190999916;
x521.lo = -8.94427190999916; x521.up = 8.94427190999916;
x522.lo = -8.94427190999916; x522.up = 8.94427190999916;
x523.lo = -8.94427190999916; x523.up = 8.94427190999916;
x524.lo = -8.94427190999916; x524.up = 8.94427190999916;
x525.lo = -8.94427190999916; x525.up = 8.94427190999916;
x526.lo = -8.94427190999916; x526.up = 8.94427190999916;
x527.lo = -8.94427190999916; x527.up = 8.94427190999916;
x528.lo = -8.94427190999916; x528.up = 8.94427190999916;
x529.lo = -8.94427190999916; x529.up = 8.94427190999916;
x530.lo = -8.94427190999916; x530.up = 8.94427190999916;
x531.lo = -8.94427190999916; x531.up = 8.94427190999916;
x532.lo = -8.94427190999916; x532.up = 8.94427190999916;
x533.lo = -8.94427190999916; x533.up = 8.94427190999916;
x534.lo = -8.94427190999916; x534.up = 8.94427190999916;
x535.lo = -8.94427190999916; x535.up = 8.94427190999916;
x536.lo = -8.94427190999916; x536.up = 8.94427190999916;
x537.lo = -8.94427190999916; x537.up = 8.94427190999916;
x538.lo = -8.94427190999916; x538.up = 8.94427190999916;
x539.lo = -8.94427190999916; x539.up = 8.94427190999916;
x540.lo = -8.94427190999916; x540.up = 8.94427190999916;
x541.lo = -8.94427190999916; x541.up = 8.94427190999916;
x542.lo = -8.94427190999916; x542.up = 8.94427190999916;
x543.lo = -8.94427190999916; x543.up = 8.94427190999916;
x544.lo = -8.94427190999916; x544.up = 8.94427190999916;
x545.lo = -8.94427190999916; x545.up = 8.94427190999916;
x546.lo = -8.94427190999916; x546.up = 8.94427190999916;
x547.lo = -8.94427190999916; x547.up = 8.94427190999916;
x548.lo = -8.94427190999916; x548.up = 8.94427190999916;
x549.lo = -8.94427190999916; x549.up = 8.94427190999916;
x550.lo = -8.94427190999916; x550.up = 8.94427190999916;
x551.lo = -8.94427190999916; x551.up = 8.94427190999916;
x552.up = 8;
x553.up = 4;
x554.up = 8;
x555.up = 4;
x556.up = 8;
x557.up = 4;
x558.up = 8;
x559.up = 4;
x560.up = 8;
x561.up = 4;
x562.up = 8.94427190999916;
x563.up = 8.94427190999916;
x564.up = 8.94427190999916;
x565.up = 8.94427190999916;
x566.up = 8.94427190999916;
x567.up = 8.94427190999916;
x568.up = 8.94427190999916;
x569.up = 8.94427190999916;
x570.up = 8.94427190999916;
x571.up = 8.94427190999916;
x572.up = 8.94427190999916;
x573.up = 8.94427190999916;
x574.up = 8.94427190999916;
x575.up = 8.94427190999916;
x576.up = 8.94427190999916;
x577.up = 8.94427190999916;
x578.up = 8.94427190999916;
x579.up = 8.94427190999916;
x580.up = 8.94427190999916;
x581.up = 8.94427190999916;
x582.up = 8.94427190999916;
x583.up = 8.94427190999916;
x584.up = 8.94427190999916;
x585.up = 8.94427190999916;
x586.up = 8.94427190999916;
x587.up = 8.94427190999916;
x588.up = 8.94427190999916;
x589.up = 8.94427190999916;
x590.up = 8.94427190999916;
x591.up = 8.94427190999916;
x592.lo = -8.94427190999916; x592.up = 8.94427190999916;
x593.lo = -8.94427190999916; x593.up = 8.94427190999916;
x594.lo = -8.94427190999916; x594.up = 8.94427190999916;
x595.lo = -8.94427190999916; x595.up = 8.94427190999916;
x596.lo = -8.94427190999916; x596.up = 8.94427190999916;
x597.lo = -8.94427190999916; x597.up = 8.94427190999916;
x598.lo = -8.94427190999916; x598.up = 8.94427190999916;
x599.lo = -8.94427190999916; x599.up = 8.94427190999916;
x600.lo = -8.94427190999916; x600.up = 8.94427190999916;
x601.lo = -8.94427190999916; x601.up = 8.94427190999916;
x602.lo = -8.94427190999916; x602.up = 8.94427190999916;
x603.lo = -8.94427190999916; x603.up = 8.94427190999916;
x604.lo = -8.94427190999916; x604.up = 8.94427190999916;
x605.lo = -8.94427190999916; x605.up = 8.94427190999916;
x606.lo = -8.94427190999916; x606.up = 8.94427190999916;
x607.lo = -8.94427190999916; x607.up = 8.94427190999916;
x608.lo = -8.94427190999916; x608.up = 8.94427190999916;
x609.lo = -8.94427190999916; x609.up = 8.94427190999916;
x610.lo = -8.94427190999916; x610.up = 8.94427190999916;
x611.lo = -8.94427190999916; x611.up = 8.94427190999916;
x612.lo = -8.94427190999916; x612.up = 8.94427190999916;
x613.lo = -8.94427190999916; x613.up = 8.94427190999916;
x614.lo = -8.94427190999916; x614.up = 8.94427190999916;
x615.lo = -8.94427190999916; x615.up = 8.94427190999916;
x616.lo = -8.94427190999916; x616.up = 8.94427190999916;
x617.lo = -8.94427190999916; x617.up = 8.94427190999916;
x618.lo = -8.94427190999916; x618.up = 8.94427190999916;
x619.lo = -8.94427190999916; x619.up = 8.94427190999916;
x620.lo = -8.94427190999916; x620.up = 8.94427190999916;
x621.lo = -8.94427190999916; x621.up = 8.94427190999916;
x622.lo = -8.94427190999916; x622.up = 8.94427190999916;
x623.lo = -8.94427190999916; x623.up = 8.94427190999916;
x624.lo = -8.94427190999916; x624.up = 8.94427190999916;
x625.lo = -8.94427190999916; x625.up = 8.94427190999916;
x626.lo = -8.94427190999916; x626.up = 8.94427190999916;
x627.lo = -1; x627.up = 1;
x628.lo = -1; x628.up = 1;
x629.lo = -1; x629.up = 1;
x630.lo = -1; x630.up = 1;
x631.lo = -1; x631.up = 1;
x632.lo = -1; x632.up = 1;
x633.lo = -1; x633.up = 1;
x634.lo = -1; x634.up = 1;
x635.lo = -1; x635.up = 1;
x636.lo = -1; x636.up = 1;
x637.lo = -1; x637.up = 1;
x638.lo = -1; x638.up = 1;
x639.lo = -1; x639.up = 1;
x640.lo = -1; x640.up = 1;
x641.lo = -1; x641.up = 1;
x642.lo = -1; x642.up = 1;
x643.lo = -1; x643.up = 1;
x644.lo = -1; x644.up = 1;
x645.lo = -1; x645.up = 1;
x646.lo = -1; x646.up = 1;
x647.lo = -8.94427190999916; x647.up = 8.94427190999916;
x648.lo = -8.94427190999916; x648.up = 8.94427190999916;
x649.lo = -8.94427190999916; x649.up = 8.94427190999916;
x650.lo = -8.94427190999916; x650.up = 8.94427190999916;
x651.lo = -8.94427190999916; x651.up = 8.94427190999916;
x652.lo = -8.94427190999916; x652.up = 8.94427190999916;
x653.lo = -8.94427190999916; x653.up = 8.94427190999916;
x654.lo = -8.94427190999916; x654.up = 8.94427190999916;
x655.lo = -8.94427190999916; x655.up = 8.94427190999916;
x656.lo = -8.94427190999916; x656.up = 8.94427190999916;
x657.lo = -8.94427190999916; x657.up = 8.94427190999916;
x658.lo = -8.94427190999916; x658.up = 8.94427190999916;
x659.lo = -8.94427190999916; x659.up = 8.94427190999916;
x660.lo = -8.94427190999916; x660.up = 8.94427190999916;
x661.lo = -8.94427190999916; x661.up = 8.94427190999916;
x662.lo = -8.94427190999916; x662.up = 8.94427190999916;
x663.lo = -8.94427190999916; x663.up = 8.94427190999916;
x664.lo = -8.94427190999916; x664.up = 8.94427190999916;
x665.lo = -8.94427190999916; x665.up = 8.94427190999916;
x666.lo = -8.94427190999916; x666.up = 8.94427190999916;
x667.lo = -8.94427190999916; x667.up = 8.94427190999916;
x668.lo = -8.94427190999916; x668.up = 8.94427190999916;
x669.lo = -8.94427190999916; x669.up = 8.94427190999916;
x670.lo = -8.94427190999916; x670.up = 8.94427190999916;
x671.lo = -8.94427190999916; x671.up = 8.94427190999916;
x672.lo = -8.94427190999916; x672.up = 8.94427190999916;
x673.lo = -8.94427190999916; x673.up = 8.94427190999916;
x674.lo = -8.94427190999916; x674.up = 8.94427190999916;
x675.lo = -8.94427190999916; x675.up = 8.94427190999916;
x676.lo = -8.94427190999916; x676.up = 8.94427190999916;
x677.lo = -8.94427190999916; x677.up = 8.94427190999916;
x678.lo = -8.94427190999916; x678.up = 8.94427190999916;
x679.lo = -8.94427190999916; x679.up = 8.94427190999916;
x680.lo = -8.94427190999916; x680.up = 8.94427190999916;
x681.lo = -8.94427190999916; x681.up = 8.94427190999916;
x682.lo = -8.94427190999916; x682.up = 8.94427190999916;
x683.lo = -8.94427190999916; x683.up = 8.94427190999916;
x684.lo = -8.94427190999916; x684.up = 8.94427190999916;
x685.lo = -8.94427190999916; x685.up = 8.94427190999916;
x686.lo = -8.94427190999916; x686.up = 8.94427190999916;
x687.lo = -8.94427190999916; x687.up = 8.94427190999916;
x688.lo = -8.94427190999916; x688.up = 8.94427190999916;
x689.lo = -8.94427190999916; x689.up = 8.94427190999916;
x690.lo = -8.94427190999916; x690.up = 8.94427190999916;
x691.lo = -8.94427190999916; x691.up = 8.94427190999916;
x692.lo = -8.94427190999916; x692.up = 8.94427190999916;
x693.lo = -8.94427190999916; x693.up = 8.94427190999916;
x694.lo = -8.94427190999916; x694.up = 8.94427190999916;
x695.lo = -8.94427190999916; x695.up = 8.94427190999916;
x696.lo = -8.94427190999916; x696.up = 8.94427190999916;
x697.lo = -8.94427190999916; x697.up = 8.94427190999916;
x698.lo = -8.94427190999916; x698.up = 8.94427190999916;
x699.lo = -8.94427190999916; x699.up = 8.94427190999916;
x700.lo = -8.94427190999916; x700.up = 8.94427190999916;
x701.lo = -8.94427190999916; x701.up = 8.94427190999916;
x702.lo = -8.94427190999916; x702.up = 8.94427190999916;
x703.lo = -8.94427190999916; x703.up = 8.94427190999916;
x704.lo = -8.94427190999916; x704.up = 8.94427190999916;
x705.lo = -8.94427190999916; x705.up = 8.94427190999916;
x706.lo = -8.94427190999916; x706.up = 8.94427190999916;
x707.lo = -8.94427190999916; x707.up = 8.94427190999916;
x708.lo = -8.94427190999916; x708.up = 8.94427190999916;
x709.lo = -8.94427190999916; x709.up = 8.94427190999916;
x710.lo = -8.94427190999916; x710.up = 8.94427190999916;
x711.lo = -8.94427190999916; x711.up = 8.94427190999916;
x712.lo = -8.94427190999916; x712.up = 8.94427190999916;
x713.lo = -8.94427190999916; x713.up = 8.94427190999916;
x714.lo = -8.94427190999916; x714.up = 8.94427190999916;
x715.lo = -8.94427190999916; x715.up = 8.94427190999916;
x716.lo = -8.94427190999916; x716.up = 8.94427190999916;
x717.lo = 1.2; x717.up = 6.8;
x718.lo = 1.2; x718.up = 2.8;
x719.up = 8;
x720.up = 4;
x721.up = 8;
x722.up = 4;
x723.up = 8;
x724.up = 4;
x725.up = 8;
x726.up = 4;
x727.up = 8;
x728.up = 4;
x729.up = 8;
x730.up = 4;
x731.up = 8;
x732.up = 4;
x733.up = 8;
x734.up = 4;
x735.up = 8;
x736.up = 4;
x737.up = 8;
x738.up = 4;
x739.up = 8;
x740.up = 4;
x741.up = 8;
x742.up = 4;
x743.up = 8;
x744.up = 4;
x745.up = 8;
x746.up = 4;
x747.up = 8;
x748.up = 4;
x749.up = 8;
x750.up = 4;
x751.up = 8;
x752.up = 4;
x753.up = 8;
x754.up = 4;
x755.up = 8;
x756.up = 4;
x757.up = 8;
x758.up = 4;
x759.up = 8;
x760.up = 4;
x761.up = 8;
x762.up = 4;
x763.up = 8;
x764.up = 4;
x765.up = 8;
x766.up = 4;
x767.up = 8;
x768.up = 4;
x769.up = 8;
x770.up = 4;
x771.up = 8;
x772.up = 4;
x773.up = 8;
x774.up = 4;
x775.up = 8;
x776.up = 4;
x777.up = 8;
x778.up = 4;
x779.up = 8;
x780.up = 4;
x781.up = 8;
x782.up = 4;
x783.up = 8;
x784.up = 4;
x785.up = 8;
x786.up = 4;
x787.up = 8;
x788.up = 4;
x789.up = 8;
x790.up = 4;
objvar.lo = 0; objvar.up = 32;

Model m / all /;

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

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

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


Last updated: 2018-09-14 Git hash: ac5a5314
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