MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: kall_circlespolygons_c1p6a

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
7.15553546 p1 ( gdx sol )
(infeas: 2e-14)
4.77052074 p2 ( gdx sol )
(infeas: 3e-10)
3.84872021 p3 ( gdx sol )
(infeas: 1e-13)
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_c1p6a
Application Geometry
Added to library 15 Aug 2014
Problem type QCP
#Variables 1110
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 536
#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 1134
#Linear Constraints 230
#Quadratic Constraints 904
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 4235
#Nonlinear Nonzeros in Jacobian 1808
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1808
#Nonzeros in Diagonal of Hessian of Lagrangian 54
#Blocks in Hessian of Lagrangian 55
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 14
Average blocksize in Hessian of Lagrangian 9.745455
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 15.08
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
*       1134     1043        0       91        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1110     1110        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4235     2427     1808        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,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011
          ,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022
          ,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032,x1033
          ,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043,x1044
          ,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054,x1055
          ,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064,x1065,x1066
          ,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075,x1076,x1077
          ,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086,x1087,x1088
          ,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097,x1098,x1099
          ,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108,x1109,objvar;

Positive Variables  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,x824,x825,x826
          ,x827,x828,x829,x830,x831,x832,x833,x834,x835,x836,x837,x838,x839
          ,x840,x841,x842,x843,x844,x845,x846,x847,x848,x849,x850,x851,x852
          ,x853,x854,x855,x856,x857,x858,x859,x860,x861,x862,x863,x864,x865
          ,x866,x867,x868,x869,x870,x871,x1024,x1025,x1026,x1027,x1028,x1029
          ,x1030,x1031,x1032,x1033,x1034,x1035,x1036,x1037,x1038,x1039,x1040
          ,x1041,x1042,x1043,x1044,x1045,x1046,x1047,x1048,x1049,x1050,x1051
          ,x1052,x1053,x1054,x1055,x1056,x1057,x1058,x1059,x1060,x1061,x1062
          ,x1063,x1064,x1065,x1066,x1067,x1068,x1069,x1070,x1071,x1072,x1073
          ,x1074,x1075,x1076,x1077,x1078,x1079,x1080,x1081,x1082,x1083,x1084
          ,x1085,x1086,x1087,x1088,x1089,x1090,x1091,x1092,x1093,x1094,x1095
          ,x1096,x1097,x1098,x1099,x1100,x1101,x1102,x1103,x1104,x1105,x1106
          ,x1107,x1108,x1109;

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,e817,e818
          ,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
          ,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
          ,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
          ,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
          ,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
          ,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
          ,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
          ,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
          ,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
          ,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
          ,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
          ,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
          ,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
          ,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
          ,e1001,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
          ,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
          ,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
          ,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
          ,e1045,e1046,e1047,e1048,e1049,e1050,e1051,e1052,e1053,e1054,e1055
          ,e1056,e1057,e1058,e1059,e1060,e1061,e1062,e1063,e1064,e1065,e1066
          ,e1067,e1068,e1069,e1070,e1071,e1072,e1073,e1074,e1075,e1076,e1077
          ,e1078,e1079,e1080,e1081,e1082,e1083,e1084,e1085,e1086,e1087,e1088
          ,e1089,e1090,e1091,e1092,e1093,e1094,e1095,e1096,e1097,e1098,e1099
          ,e1100,e1101,e1102,e1103,e1104,e1105,e1106,e1107,e1108,e1109,e1110
          ,e1111,e1112,e1113,e1114,e1115,e1116,e1117,e1118,e1119,e1120,e1121
          ,e1122,e1123,e1124,e1125,e1126,e1127,e1128,e1129,e1130,e1131,e1132
          ,e1133,e1134;


e1..  - x1 + objvar =E= -16.5238934211693;

e2.. -x1108*x1109 + x1 =E= 0;

e3..    x1022 - x1108 =L= -1.2;

e4..    x1023 - x1109 =L= -1.2;

e5..  - 0.166666666666667*x1024 - 0.166666666666667*x1026
      - 0.166666666666667*x1028 - 0.166666666666667*x1030
      - 0.166666666666667*x1032 - 0.166666666666667*x1034 + x1096 =E= 0;

e6..  - 0.166666666666667*x1025 - 0.166666666666667*x1027
      - 0.166666666666667*x1029 - 0.166666666666667*x1031
      - 0.166666666666667*x1033 - 0.166666666666667*x1035 + x1097 =E= 0;

e7..  - 0.166666666666667*x1036 - 0.166666666666667*x1038
      - 0.166666666666667*x1040 - 0.166666666666667*x1042
      - 0.166666666666667*x1044 - 0.166666666666667*x1046 + x1098 =E= 0;

e8..  - 0.166666666666667*x1037 - 0.166666666666667*x1039
      - 0.166666666666667*x1041 - 0.166666666666667*x1043
      - 0.166666666666667*x1045 - 0.166666666666667*x1047 + x1099 =E= 0;

e9..  - 0.166666666666667*x1048 - 0.166666666666667*x1050
      - 0.166666666666667*x1052 - 0.166666666666667*x1054
      - 0.166666666666667*x1056 - 0.166666666666667*x1058 + x1100 =E= 0;

e10..  - 0.166666666666667*x1049 - 0.166666666666667*x1051
       - 0.166666666666667*x1053 - 0.166666666666667*x1055
       - 0.166666666666667*x1057 - 0.166666666666667*x1059 + x1101 =E= 0;

e11..  - 0.166666666666667*x1060 - 0.166666666666667*x1062
       - 0.166666666666667*x1064 - 0.166666666666667*x1066
       - 0.166666666666667*x1068 - 0.166666666666667*x1070 + x1102 =E= 0;

e12..  - 0.166666666666667*x1061 - 0.166666666666667*x1063
       - 0.166666666666667*x1065 - 0.166666666666667*x1067
       - 0.166666666666667*x1069 - 0.166666666666667*x1071 + x1103 =E= 0;

e13..  - 0.166666666666667*x1072 - 0.166666666666667*x1074
       - 0.166666666666667*x1076 - 0.166666666666667*x1078
       - 0.166666666666667*x1080 - 0.166666666666667*x1082 + x1104 =E= 0;

e14..  - 0.166666666666667*x1073 - 0.166666666666667*x1075
       - 0.166666666666667*x1077 - 0.166666666666667*x1079
       - 0.166666666666667*x1081 - 0.166666666666667*x1083 + x1105 =E= 0;

e15..  - 0.166666666666667*x1084 - 0.166666666666667*x1086
       - 0.166666666666667*x1088 - 0.166666666666667*x1090
       - 0.166666666666667*x1092 - 0.166666666666667*x1094 + x1106 =E= 0;

e16..  - 0.166666666666667*x1085 - 0.166666666666667*x1087
       - 0.166666666666667*x1089 - 0.166666666666667*x1091
       - 0.166666666666667*x1093 - 0.166666666666667*x1095 + x1107 =E= 0;

e17.. x2*x2 + x8*x8 =E= 1;

e18.. x3*x3 + x9*x9 =E= 1;

e19.. x4*x4 + x10*x10 =E= 1;

e20.. x5*x5 + x11*x11 =E= 1;

e21.. x6*x6 + x12*x12 =E= 1;

e22.. x7*x7 + x13*x13 =E= 1;

e23..    x1024 - x1108 =L= 0;

e24..    x1025 - x1109 =L= 0;

e25..    x1026 - x1108 =L= 0;

e26..    x1027 - x1109 =L= 0;

e27..    x1028 - x1108 =L= 0;

e28..    x1029 - x1109 =L= 0;

e29..    x1030 - x1108 =L= 0;

e30..    x1031 - x1109 =L= 0;

e31..    x1032 - x1108 =L= 0;

e32..    x1033 - x1109 =L= 0;

e33..    x1034 - x1108 =L= 0;

e34..    x1035 - x1109 =L= 0;

e35..    x1036 - x1108 =L= 0;

e36..    x1037 - x1109 =L= 0;

e37..    x1038 - x1108 =L= 0;

e38..    x1039 - x1109 =L= 0;

e39..    x1040 - x1108 =L= 0;

e40..    x1041 - x1109 =L= 0;

e41..    x1042 - x1108 =L= 0;

e42..    x1043 - x1109 =L= 0;

e43..    x1044 - x1108 =L= 0;

e44..    x1045 - x1109 =L= 0;

e45..    x1046 - x1108 =L= 0;

e46..    x1047 - x1109 =L= 0;

e47..    x1048 - x1108 =L= 0;

e48..    x1049 - x1109 =L= 0;

e49..    x1050 - x1108 =L= 0;

e50..    x1051 - x1109 =L= 0;

e51..    x1052 - x1108 =L= 0;

e52..    x1053 - x1109 =L= 0;

e53..    x1054 - x1108 =L= 0;

e54..    x1055 - x1109 =L= 0;

e55..    x1056 - x1108 =L= 0;

e56..    x1057 - x1109 =L= 0;

e57..    x1058 - x1108 =L= 0;

e58..    x1059 - x1109 =L= 0;

e59..    x1060 - x1108 =L= 0;

e60..    x1061 - x1109 =L= 0;

e61..    x1062 - x1108 =L= 0;

e62..    x1063 - x1109 =L= 0;

e63..    x1064 - x1108 =L= 0;

e64..    x1065 - x1109 =L= 0;

e65..    x1066 - x1108 =L= 0;

e66..    x1067 - x1109 =L= 0;

e67..    x1068 - x1108 =L= 0;

e68..    x1069 - x1109 =L= 0;

e69..    x1070 - x1108 =L= 0;

e70..    x1071 - x1109 =L= 0;

e71..    x1072 - x1108 =L= 0;

e72..    x1073 - x1109 =L= 0;

e73..    x1074 - x1108 =L= 0;

e74..    x1075 - x1109 =L= 0;

e75..    x1076 - x1108 =L= 0;

e76..    x1077 - x1109 =L= 0;

e77..    x1078 - x1108 =L= 0;

e78..    x1079 - x1109 =L= 0;

e79..    x1080 - x1108 =L= 0;

e80..    x1081 - x1109 =L= 0;

e81..    x1082 - x1108 =L= 0;

e82..    x1083 - x1109 =L= 0;

e83..    x1084 - x1108 =L= 0;

e84..    x1085 - x1109 =L= 0;

e85..    x1086 - x1108 =L= 0;

e86..    x1087 - x1109 =L= 0;

e87..    x1088 - x1108 =L= 0;

e88..    x1089 - x1109 =L= 0;

e89..    x1090 - x1108 =L= 0;

e90..    x1091 - x1109 =L= 0;

e91..    x1092 - x1108 =L= 0;

e92..    x1093 - x1109 =L= 0;

e93..    x1094 - x1108 =L= 0;

e94..    x1095 - x1109 =L= 0;

e95..    0.833333333333333*x2 + 0.75*x8 + x1024 - x1096 =E= 0;

e96..  - 0.166666666666667*x2 + 0.75*x8 + x1026 - x1096 =E= 0;

e97..  - 0.666666666666667*x2 + 0.25*x8 + x1028 - x1096 =E= 0;

e98..  - 0.666666666666667*x2 - 0.25*x8 + x1030 - x1096 =E= 0;

e99..  - 0.166666666666667*x2 - 0.75*x8 + x1032 - x1096 =E= 0;

e100..    0.833333333333333*x2 - 0.75*x8 + x1034 - x1096 =E= 0;

e101..    0.833333333333333*x3 + 0.75*x9 + x1036 - x1098 =E= 0;

e102..  - 0.166666666666667*x3 + 0.75*x9 + x1038 - x1098 =E= 0;

e103..  - 0.666666666666667*x3 + 0.25*x9 + x1040 - x1098 =E= 0;

e104..  - 0.666666666666667*x3 - 0.25*x9 + x1042 - x1098 =E= 0;

e105..  - 0.166666666666667*x3 - 0.75*x9 + x1044 - x1098 =E= 0;

e106..    0.833333333333333*x3 - 0.75*x9 + x1046 - x1098 =E= 0;

e107..    0.833333333333333*x4 + 0.75*x10 + x1048 - x1100 =E= 0;

e108..  - 0.166666666666667*x4 + 0.75*x10 + x1050 - x1100 =E= 0;

e109..  - 0.666666666666667*x4 + 0.25*x10 + x1052 - x1100 =E= 0;

e110..  - 0.666666666666667*x4 - 0.25*x10 + x1054 - x1100 =E= 0;

e111..  - 0.166666666666667*x4 - 0.75*x10 + x1056 - x1100 =E= 0;

e112..    0.833333333333333*x4 - 0.75*x10 + x1058 - x1100 =E= 0;

e113..    0.833333333333333*x5 + 0.75*x11 + x1060 - x1102 =E= 0;

e114..  - 0.166666666666667*x5 + 0.75*x11 + x1062 - x1102 =E= 0;

e115..  - 0.666666666666667*x5 + 0.25*x11 + x1064 - x1102 =E= 0;

e116..  - 0.666666666666667*x5 - 0.25*x11 + x1066 - x1102 =E= 0;

e117..  - 0.166666666666667*x5 - 0.75*x11 + x1068 - x1102 =E= 0;

e118..    0.833333333333333*x5 - 0.75*x11 + x1070 - x1102 =E= 0;

e119..    0.833333333333333*x6 + 0.75*x12 + x1072 - x1104 =E= 0;

e120..  - 0.166666666666667*x6 + 0.75*x12 + x1074 - x1104 =E= 0;

e121..  - 0.666666666666667*x6 + 0.25*x12 + x1076 - x1104 =E= 0;

e122..  - 0.666666666666667*x6 - 0.25*x12 + x1078 - x1104 =E= 0;

e123..  - 0.166666666666667*x6 - 0.75*x12 + x1080 - x1104 =E= 0;

e124..    0.833333333333333*x6 - 0.75*x12 + x1082 - x1104 =E= 0;

e125..    0.833333333333333*x7 + 0.75*x13 + x1084 - x1106 =E= 0;

e126..  - 0.166666666666667*x7 + 0.75*x13 + x1086 - x1106 =E= 0;

e127..  - 0.666666666666667*x7 + 0.25*x13 + x1088 - x1106 =E= 0;

e128..  - 0.666666666666667*x7 - 0.25*x13 + x1090 - x1106 =E= 0;

e129..  - 0.166666666666667*x7 - 0.75*x13 + x1092 - x1106 =E= 0;

e130..    0.833333333333333*x7 - 0.75*x13 + x1094 - x1106 =E= 0;

e131..  - 0.75*x2 + 0.833333333333333*x8 + x1025 - x1097 =E= 0;

e132..  - 0.75*x2 - 0.166666666666667*x8 + x1027 - x1097 =E= 0;

e133..  - 0.25*x2 - 0.666666666666667*x8 + x1029 - x1097 =E= 0;

e134..    0.25*x2 - 0.666666666666667*x8 + x1031 - x1097 =E= 0;

e135..    0.75*x2 - 0.166666666666667*x8 + x1033 - x1097 =E= 0;

e136..    0.75*x2 + 0.833333333333333*x8 + x1035 - x1097 =E= 0;

e137..  - 0.75*x3 + 0.833333333333333*x9 + x1037 - x1099 =E= 0;

e138..  - 0.75*x3 - 0.166666666666667*x9 + x1039 - x1099 =E= 0;

e139..  - 0.25*x3 - 0.666666666666667*x9 + x1041 - x1099 =E= 0;

e140..    0.25*x3 - 0.666666666666667*x9 + x1043 - x1099 =E= 0;

e141..    0.75*x3 - 0.166666666666667*x9 + x1045 - x1099 =E= 0;

e142..    0.75*x3 + 0.833333333333333*x9 + x1047 - x1099 =E= 0;

e143..  - 0.75*x4 + 0.833333333333333*x10 + x1049 - x1101 =E= 0;

e144..  - 0.75*x4 - 0.166666666666667*x10 + x1051 - x1101 =E= 0;

e145..  - 0.25*x4 - 0.666666666666667*x10 + x1053 - x1101 =E= 0;

e146..    0.25*x4 - 0.666666666666667*x10 + x1055 - x1101 =E= 0;

e147..    0.75*x4 - 0.166666666666667*x10 + x1057 - x1101 =E= 0;

e148..    0.75*x4 + 0.833333333333333*x10 + x1059 - x1101 =E= 0;

e149..  - 0.75*x5 + 0.833333333333333*x11 + x1061 - x1103 =E= 0;

e150..  - 0.75*x5 - 0.166666666666667*x11 + x1063 - x1103 =E= 0;

e151..  - 0.25*x5 - 0.666666666666667*x11 + x1065 - x1103 =E= 0;

e152..    0.25*x5 - 0.666666666666667*x11 + x1067 - x1103 =E= 0;

e153..    0.75*x5 - 0.166666666666667*x11 + x1069 - x1103 =E= 0;

e154..    0.75*x5 + 0.833333333333333*x11 + x1071 - x1103 =E= 0;

e155..  - 0.75*x6 + 0.833333333333333*x12 + x1073 - x1105 =E= 0;

e156..  - 0.75*x6 - 0.166666666666667*x12 + x1075 - x1105 =E= 0;

e157..  - 0.25*x6 - 0.666666666666667*x12 + x1077 - x1105 =E= 0;

e158..    0.25*x6 - 0.666666666666667*x12 + x1079 - x1105 =E= 0;

e159..    0.75*x6 - 0.166666666666667*x12 + x1081 - x1105 =E= 0;

e160..    0.75*x6 + 0.833333333333333*x12 + x1083 - x1105 =E= 0;

e161..  - 0.75*x7 + 0.833333333333333*x13 + x1085 - x1107 =E= 0;

e162..  - 0.75*x7 - 0.166666666666667*x13 + x1087 - x1107 =E= 0;

e163..  - 0.25*x7 - 0.666666666666667*x13 + x1089 - x1107 =E= 0;

e164..    0.25*x7 - 0.666666666666667*x13 + x1091 - x1107 =E= 0;

e165..    0.75*x7 - 0.166666666666667*x13 + x1093 - x1107 =E= 0;

e166..    0.75*x7 + 0.833333333333333*x13 + x1095 - x1107 =E= 0;

e167.. x404*x404 + x405*x405 =E= 1;

e168.. x406*x406 + x407*x407 =E= 1;

e169.. x408*x408 + x409*x409 =E= 1;

e170.. x410*x410 + x411*x411 =E= 1;

e171.. x412*x412 + x413*x413 =E= 1;

e172.. x414*x414 + x415*x415 =E= 1;

e173.. x416*x416 + x417*x417 =E= 1;

e174.. x418*x418 + x419*x419 =E= 1;

e175.. x420*x420 + x421*x421 =E= 1;

e176.. x422*x422 + x423*x423 =E= 1;

e177.. x424*x424 + x425*x425 =E= 1;

e178.. x426*x426 + x427*x427 =E= 1;

e179.. x428*x428 + x429*x429 =E= 1;

e180.. x430*x430 + x431*x431 =E= 1;

e181.. x432*x432 + x433*x433 =E= 1;

e182..  - x405 + x434 =E= 0;

e183..  - x407 + x436 =E= 0;

e184..  - x409 + x438 =E= 0;

e185..  - x411 + x440 =E= 0;

e186..  - x413 + x442 =E= 0;

e187..  - x415 + x444 =E= 0;

e188..  - x417 + x446 =E= 0;

e189..  - x419 + x448 =E= 0;

e190..  - x421 + x450 =E= 0;

e191..  - x423 + x452 =E= 0;

e192..  - x425 + x454 =E= 0;

e193..  - x427 + x456 =E= 0;

e194..  - x429 + x458 =E= 0;

e195..  - x431 + x460 =E= 0;

e196..  - x433 + x462 =E= 0;

e197..    x404 + x435 =E= 0;

e198..    x406 + x437 =E= 0;

e199..    x408 + x439 =E= 0;

e200..    x410 + x441 =E= 0;

e201..    x412 + x443 =E= 0;

e202..    x414 + x445 =E= 0;

e203..    x416 + x447 =E= 0;

e204..    x418 + x449 =E= 0;

e205..    x420 + x451 =E= 0;

e206..    x422 + x453 =E= 0;

e207..    x424 + x455 =E= 0;

e208..    x426 + x457 =E= 0;

e209..    x428 + x459 =E= 0;

e210..    x430 + x461 =E= 0;

e211..    x432 + x463 =E= 0;

e212.. x404*x224 + x14 + x464 - x1024 =E= 0;

e213.. x405*x224 + x15 + x465 - x1025 =E= 0;

e214.. x404*x225 + x14 + x466 - x1026 =E= 0;

e215.. x405*x225 + x15 + x467 - x1027 =E= 0;

e216.. x404*x226 + x14 + x468 - x1028 =E= 0;

e217.. x405*x226 + x15 + x469 - x1029 =E= 0;

e218.. x404*x227 + x14 + x470 - x1030 =E= 0;

e219.. x405*x227 + x15 + x471 - x1031 =E= 0;

e220.. x404*x228 + x14 + x472 - x1032 =E= 0;

e221.. x405*x228 + x15 + x473 - x1033 =E= 0;

e222.. x404*x229 + x14 + x474 - x1034 =E= 0;

e223.. x405*x229 + x15 + x475 - x1035 =E= 0;

e224.. x406*x230 + x16 + x476 - x1024 =E= 0;

e225.. x407*x230 + x17 + x477 - x1025 =E= 0;

e226.. x406*x231 + x16 + x478 - x1026 =E= 0;

e227.. x407*x231 + x17 + x479 - x1027 =E= 0;

e228.. x406*x232 + x16 + x480 - x1028 =E= 0;

e229.. x407*x232 + x17 + x481 - x1029 =E= 0;

e230.. x406*x233 + x16 + x482 - x1030 =E= 0;

e231.. x407*x233 + x17 + x483 - x1031 =E= 0;

e232.. x406*x234 + x16 + x484 - x1032 =E= 0;

e233.. x407*x234 + x17 + x485 - x1033 =E= 0;

e234.. x406*x235 + x16 + x486 - x1034 =E= 0;

e235.. x407*x235 + x17 + x487 - x1035 =E= 0;

e236.. x408*x236 + x18 + x488 - x1024 =E= 0;

e237.. x409*x236 + x19 + x489 - x1025 =E= 0;

e238.. x408*x237 + x18 + x490 - x1026 =E= 0;

e239.. x409*x237 + x19 + x491 - x1027 =E= 0;

e240.. x408*x238 + x18 + x492 - x1028 =E= 0;

e241.. x409*x238 + x19 + x493 - x1029 =E= 0;

e242.. x408*x239 + x18 + x494 - x1030 =E= 0;

e243.. x409*x239 + x19 + x495 - x1031 =E= 0;

e244.. x408*x240 + x18 + x496 - x1032 =E= 0;

e245.. x409*x240 + x19 + x497 - x1033 =E= 0;

e246.. x408*x241 + x18 + x498 - x1034 =E= 0;

e247.. x409*x241 + x19 + x499 - x1035 =E= 0;

e248.. x410*x242 + x20 + x500 - x1024 =E= 0;

e249.. x411*x242 + x21 + x501 - x1025 =E= 0;

e250.. x410*x243 + x20 + x502 - x1026 =E= 0;

e251.. x411*x243 + x21 + x503 - x1027 =E= 0;

e252.. x410*x244 + x20 + x504 - x1028 =E= 0;

e253.. x411*x244 + x21 + x505 - x1029 =E= 0;

e254.. x410*x245 + x20 + x506 - x1030 =E= 0;

e255.. x411*x245 + x21 + x507 - x1031 =E= 0;

e256.. x410*x246 + x20 + x508 - x1032 =E= 0;

e257.. x411*x246 + x21 + x509 - x1033 =E= 0;

e258.. x410*x247 + x20 + x510 - x1034 =E= 0;

e259.. x411*x247 + x21 + x511 - x1035 =E= 0;

e260.. x412*x248 + x22 + x512 - x1024 =E= 0;

e261.. x413*x248 + x23 + x513 - x1025 =E= 0;

e262.. x412*x249 + x22 + x514 - x1026 =E= 0;

e263.. x413*x249 + x23 + x515 - x1027 =E= 0;

e264.. x412*x250 + x22 + x516 - x1028 =E= 0;

e265.. x413*x250 + x23 + x517 - x1029 =E= 0;

e266.. x412*x251 + x22 + x518 - x1030 =E= 0;

e267.. x413*x251 + x23 + x519 - x1031 =E= 0;

e268.. x412*x252 + x22 + x520 - x1032 =E= 0;

e269.. x413*x252 + x23 + x521 - x1033 =E= 0;

e270.. x412*x253 + x22 + x522 - x1034 =E= 0;

e271.. x413*x253 + x23 + x523 - x1035 =E= 0;

e272.. x414*x260 + x24 + x536 - x1036 =E= 0;

e273.. x415*x260 + x25 + x537 - x1037 =E= 0;

e274.. x414*x261 + x24 + x538 - x1038 =E= 0;

e275.. x415*x261 + x25 + x539 - x1039 =E= 0;

e276.. x414*x262 + x24 + x540 - x1040 =E= 0;

e277.. x415*x262 + x25 + x541 - x1041 =E= 0;

e278.. x414*x263 + x24 + x542 - x1042 =E= 0;

e279.. x415*x263 + x25 + x543 - x1043 =E= 0;

e280.. x414*x264 + x24 + x544 - x1044 =E= 0;

e281.. x415*x264 + x25 + x545 - x1045 =E= 0;

e282.. x414*x265 + x24 + x546 - x1046 =E= 0;

e283.. x415*x265 + x25 + x547 - x1047 =E= 0;

e284.. x416*x266 + x26 + x548 - x1036 =E= 0;

e285.. x417*x266 + x27 + x549 - x1037 =E= 0;

e286.. x416*x267 + x26 + x550 - x1038 =E= 0;

e287.. x417*x267 + x27 + x551 - x1039 =E= 0;

e288.. x416*x268 + x26 + x552 - x1040 =E= 0;

e289.. x417*x268 + x27 + x553 - x1041 =E= 0;

e290.. x416*x269 + x26 + x554 - x1042 =E= 0;

e291.. x417*x269 + x27 + x555 - x1043 =E= 0;

e292.. x416*x270 + x26 + x556 - x1044 =E= 0;

e293.. x417*x270 + x27 + x557 - x1045 =E= 0;

e294.. x416*x271 + x26 + x558 - x1046 =E= 0;

e295.. x417*x271 + x27 + x559 - x1047 =E= 0;

e296.. x418*x272 + x28 + x560 - x1036 =E= 0;

e297.. x419*x272 + x29 + x561 - x1037 =E= 0;

e298.. x418*x273 + x28 + x562 - x1038 =E= 0;

e299.. x419*x273 + x29 + x563 - x1039 =E= 0;

e300.. x418*x274 + x28 + x564 - x1040 =E= 0;

e301.. x419*x274 + x29 + x565 - x1041 =E= 0;

e302.. x418*x275 + x28 + x566 - x1042 =E= 0;

e303.. x419*x275 + x29 + x567 - x1043 =E= 0;

e304.. x418*x276 + x28 + x568 - x1044 =E= 0;

e305.. x419*x276 + x29 + x569 - x1045 =E= 0;

e306.. x418*x277 + x28 + x570 - x1046 =E= 0;

e307.. x419*x277 + x29 + x571 - x1047 =E= 0;

e308.. x420*x278 + x30 + x572 - x1036 =E= 0;

e309.. x421*x278 + x31 + x573 - x1037 =E= 0;

e310.. x420*x279 + x30 + x574 - x1038 =E= 0;

e311.. x421*x279 + x31 + x575 - x1039 =E= 0;

e312.. x420*x280 + x30 + x576 - x1040 =E= 0;

e313.. x421*x280 + x31 + x577 - x1041 =E= 0;

e314.. x420*x281 + x30 + x578 - x1042 =E= 0;

e315.. x421*x281 + x31 + x579 - x1043 =E= 0;

e316.. x420*x282 + x30 + x580 - x1044 =E= 0;

e317.. x421*x282 + x31 + x581 - x1045 =E= 0;

e318.. x420*x283 + x30 + x582 - x1046 =E= 0;

e319.. x421*x283 + x31 + x583 - x1047 =E= 0;

e320.. x422*x296 + x32 + x608 - x1048 =E= 0;

e321.. x423*x296 + x33 + x609 - x1049 =E= 0;

e322.. x422*x297 + x32 + x610 - x1050 =E= 0;

e323.. x423*x297 + x33 + x611 - x1051 =E= 0;

e324.. x422*x298 + x32 + x612 - x1052 =E= 0;

e325.. x423*x298 + x33 + x613 - x1053 =E= 0;

e326.. x422*x299 + x32 + x614 - x1054 =E= 0;

e327.. x423*x299 + x33 + x615 - x1055 =E= 0;

e328.. x422*x300 + x32 + x616 - x1056 =E= 0;

e329.. x423*x300 + x33 + x617 - x1057 =E= 0;

e330.. x422*x301 + x32 + x618 - x1058 =E= 0;

e331.. x423*x301 + x33 + x619 - x1059 =E= 0;

e332.. x424*x302 + x34 + x620 - x1048 =E= 0;

e333.. x425*x302 + x35 + x621 - x1049 =E= 0;

e334.. x424*x303 + x34 + x622 - x1050 =E= 0;

e335.. x425*x303 + x35 + x623 - x1051 =E= 0;

e336.. x424*x304 + x34 + x624 - x1052 =E= 0;

e337.. x425*x304 + x35 + x625 - x1053 =E= 0;

e338.. x424*x305 + x34 + x626 - x1054 =E= 0;

e339.. x425*x305 + x35 + x627 - x1055 =E= 0;

e340.. x424*x306 + x34 + x628 - x1056 =E= 0;

e341.. x425*x306 + x35 + x629 - x1057 =E= 0;

e342.. x424*x307 + x34 + x630 - x1058 =E= 0;

e343.. x425*x307 + x35 + x631 - x1059 =E= 0;

e344.. x426*x308 + x36 + x632 - x1048 =E= 0;

e345.. x427*x308 + x37 + x633 - x1049 =E= 0;

e346.. x426*x309 + x36 + x634 - x1050 =E= 0;

e347.. x427*x309 + x37 + x635 - x1051 =E= 0;

e348.. x426*x310 + x36 + x636 - x1052 =E= 0;

e349.. x427*x310 + x37 + x637 - x1053 =E= 0;

e350.. x426*x311 + x36 + x638 - x1054 =E= 0;

e351.. x427*x311 + x37 + x639 - x1055 =E= 0;

e352.. x426*x312 + x36 + x640 - x1056 =E= 0;

e353.. x427*x312 + x37 + x641 - x1057 =E= 0;

e354.. x426*x313 + x36 + x642 - x1058 =E= 0;

e355.. x427*x313 + x37 + x643 - x1059 =E= 0;

e356.. x428*x332 + x38 + x680 - x1060 =E= 0;

e357.. x429*x332 + x39 + x681 - x1061 =E= 0;

e358.. x428*x333 + x38 + x682 - x1062 =E= 0;

e359.. x429*x333 + x39 + x683 - x1063 =E= 0;

e360.. x428*x334 + x38 + x684 - x1064 =E= 0;

e361.. x429*x334 + x39 + x685 - x1065 =E= 0;

e362.. x428*x335 + x38 + x686 - x1066 =E= 0;

e363.. x429*x335 + x39 + x687 - x1067 =E= 0;

e364.. x428*x336 + x38 + x688 - x1068 =E= 0;

e365.. x429*x336 + x39 + x689 - x1069 =E= 0;

e366.. x428*x337 + x38 + x690 - x1070 =E= 0;

e367.. x429*x337 + x39 + x691 - x1071 =E= 0;

e368.. x430*x338 + x40 + x692 - x1060 =E= 0;

e369.. x431*x338 + x41 + x693 - x1061 =E= 0;

e370.. x430*x339 + x40 + x694 - x1062 =E= 0;

e371.. x431*x339 + x41 + x695 - x1063 =E= 0;

e372.. x430*x340 + x40 + x696 - x1064 =E= 0;

e373.. x431*x340 + x41 + x697 - x1065 =E= 0;

e374.. x430*x341 + x40 + x698 - x1066 =E= 0;

e375.. x431*x341 + x41 + x699 - x1067 =E= 0;

e376.. x430*x342 + x40 + x700 - x1068 =E= 0;

e377.. x431*x342 + x41 + x701 - x1069 =E= 0;

e378.. x430*x343 + x40 + x702 - x1070 =E= 0;

e379.. x431*x343 + x41 + x703 - x1071 =E= 0;

e380.. x432*x368 + x42 + x752 - x1072 =E= 0;

e381.. x433*x368 + x43 + x753 - x1073 =E= 0;

e382.. x432*x369 + x42 + x754 - x1074 =E= 0;

e383.. x433*x369 + x43 + x755 - x1075 =E= 0;

e384.. x432*x370 + x42 + x756 - x1076 =E= 0;

e385.. x433*x370 + x43 + x757 - x1077 =E= 0;

e386.. x432*x371 + x42 + x758 - x1078 =E= 0;

e387.. x433*x371 + x43 + x759 - x1079 =E= 0;

e388.. x432*x372 + x42 + x760 - x1080 =E= 0;

e389.. x433*x372 + x43 + x761 - x1081 =E= 0;

e390.. x432*x373 + x42 + x762 - x1082 =E= 0;

e391.. x433*x373 + x43 + x763 - x1083 =E= 0;

e392.. x404*x254 + x14 + x524 - x1036 =E= 0;

e393.. x405*x254 + x15 + x525 - x1037 =E= 0;

e394.. x404*x255 + x14 + x526 - x1038 =E= 0;

e395.. x405*x255 + x15 + x527 - x1039 =E= 0;

e396.. x404*x256 + x14 + x528 - x1040 =E= 0;

e397.. x405*x256 + x15 + x529 - x1041 =E= 0;

e398.. x404*x257 + x14 + x530 - x1042 =E= 0;

e399.. x405*x257 + x15 + x531 - x1043 =E= 0;

e400.. x404*x258 + x14 + x532 - x1044 =E= 0;

e401.. x405*x258 + x15 + x533 - x1045 =E= 0;

e402.. x404*x259 + x14 + x534 - x1046 =E= 0;

e403.. x405*x259 + x15 + x535 - x1047 =E= 0;

e404.. x406*x284 + x16 + x584 - x1048 =E= 0;

e405.. x407*x284 + x17 + x585 - x1049 =E= 0;

e406.. x406*x285 + x16 + x586 - x1050 =E= 0;

e407.. x407*x285 + x17 + x587 - x1051 =E= 0;

e408.. x406*x286 + x16 + x588 - x1052 =E= 0;

e409.. x407*x286 + x17 + x589 - x1053 =E= 0;

e410.. x406*x287 + x16 + x590 - x1054 =E= 0;

e411.. x407*x287 + x17 + x591 - x1055 =E= 0;

e412.. x406*x288 + x16 + x592 - x1056 =E= 0;

e413.. x407*x288 + x17 + x593 - x1057 =E= 0;

e414.. x406*x289 + x16 + x594 - x1058 =E= 0;

e415.. x407*x289 + x17 + x595 - x1059 =E= 0;

e416.. x408*x314 + x18 + x644 - x1060 =E= 0;

e417.. x409*x314 + x19 + x645 - x1061 =E= 0;

e418.. x408*x315 + x18 + x646 - x1062 =E= 0;

e419.. x409*x315 + x19 + x647 - x1063 =E= 0;

e420.. x408*x316 + x18 + x648 - x1064 =E= 0;

e421.. x409*x316 + x19 + x649 - x1065 =E= 0;

e422.. x408*x317 + x18 + x650 - x1066 =E= 0;

e423.. x409*x317 + x19 + x651 - x1067 =E= 0;

e424.. x408*x318 + x18 + x652 - x1068 =E= 0;

e425.. x409*x318 + x19 + x653 - x1069 =E= 0;

e426.. x408*x319 + x18 + x654 - x1070 =E= 0;

e427.. x409*x319 + x19 + x655 - x1071 =E= 0;

e428.. x410*x344 + x20 + x704 - x1072 =E= 0;

e429.. x411*x344 + x21 + x705 - x1073 =E= 0;

e430.. x410*x345 + x20 + x706 - x1074 =E= 0;

e431.. x411*x345 + x21 + x707 - x1075 =E= 0;

e432.. x410*x346 + x20 + x708 - x1076 =E= 0;

e433.. x411*x346 + x21 + x709 - x1077 =E= 0;

e434.. x410*x347 + x20 + x710 - x1078 =E= 0;

e435.. x411*x347 + x21 + x711 - x1079 =E= 0;

e436.. x410*x348 + x20 + x712 - x1080 =E= 0;

e437.. x411*x348 + x21 + x713 - x1081 =E= 0;

e438.. x410*x349 + x20 + x714 - x1082 =E= 0;

e439.. x411*x349 + x21 + x715 - x1083 =E= 0;

e440.. x412*x374 + x22 + x764 - x1084 =E= 0;

e441.. x413*x374 + x23 + x765 - x1085 =E= 0;

e442.. x412*x375 + x22 + x766 - x1086 =E= 0;

e443.. x413*x375 + x23 + x767 - x1087 =E= 0;

e444.. x412*x376 + x22 + x768 - x1088 =E= 0;

e445.. x413*x376 + x23 + x769 - x1089 =E= 0;

e446.. x412*x377 + x22 + x770 - x1090 =E= 0;

e447.. x413*x377 + x23 + x771 - x1091 =E= 0;

e448.. x412*x378 + x22 + x772 - x1092 =E= 0;

e449.. x413*x378 + x23 + x773 - x1093 =E= 0;

e450.. x412*x379 + x22 + x774 - x1094 =E= 0;

e451.. x413*x379 + x23 + x775 - x1095 =E= 0;

e452.. x414*x290 + x24 + x596 - x1048 =E= 0;

e453.. x415*x290 + x25 + x597 - x1049 =E= 0;

e454.. x414*x291 + x24 + x598 - x1050 =E= 0;

e455.. x415*x291 + x25 + x599 - x1051 =E= 0;

e456.. x414*x292 + x24 + x600 - x1052 =E= 0;

e457.. x415*x292 + x25 + x601 - x1053 =E= 0;

e458.. x414*x293 + x24 + x602 - x1054 =E= 0;

e459.. x415*x293 + x25 + x603 - x1055 =E= 0;

e460.. x414*x294 + x24 + x604 - x1056 =E= 0;

e461.. x415*x294 + x25 + x605 - x1057 =E= 0;

e462.. x414*x295 + x24 + x606 - x1058 =E= 0;

e463.. x415*x295 + x25 + x607 - x1059 =E= 0;

e464.. x416*x320 + x26 + x656 - x1060 =E= 0;

e465.. x417*x320 + x27 + x657 - x1061 =E= 0;

e466.. x416*x321 + x26 + x658 - x1062 =E= 0;

e467.. x417*x321 + x27 + x659 - x1063 =E= 0;

e468.. x416*x322 + x26 + x660 - x1064 =E= 0;

e469.. x417*x322 + x27 + x661 - x1065 =E= 0;

e470.. x416*x323 + x26 + x662 - x1066 =E= 0;

e471.. x417*x323 + x27 + x663 - x1067 =E= 0;

e472.. x416*x324 + x26 + x664 - x1068 =E= 0;

e473.. x417*x324 + x27 + x665 - x1069 =E= 0;

e474.. x416*x325 + x26 + x666 - x1070 =E= 0;

e475.. x417*x325 + x27 + x667 - x1071 =E= 0;

e476.. x418*x350 + x28 + x716 - x1072 =E= 0;

e477.. x419*x350 + x29 + x717 - x1073 =E= 0;

e478.. x418*x351 + x28 + x718 - x1074 =E= 0;

e479.. x419*x351 + x29 + x719 - x1075 =E= 0;

e480.. x418*x352 + x28 + x720 - x1076 =E= 0;

e481.. x419*x352 + x29 + x721 - x1077 =E= 0;

e482.. x418*x353 + x28 + x722 - x1078 =E= 0;

e483.. x419*x353 + x29 + x723 - x1079 =E= 0;

e484.. x418*x354 + x28 + x724 - x1080 =E= 0;

e485.. x419*x354 + x29 + x725 - x1081 =E= 0;

e486.. x418*x355 + x28 + x726 - x1082 =E= 0;

e487.. x419*x355 + x29 + x727 - x1083 =E= 0;

e488.. x420*x380 + x30 + x776 - x1084 =E= 0;

e489.. x421*x380 + x31 + x777 - x1085 =E= 0;

e490.. x420*x381 + x30 + x778 - x1086 =E= 0;

e491.. x421*x381 + x31 + x779 - x1087 =E= 0;

e492.. x420*x382 + x30 + x780 - x1088 =E= 0;

e493.. x421*x382 + x31 + x781 - x1089 =E= 0;

e494.. x420*x383 + x30 + x782 - x1090 =E= 0;

e495.. x421*x383 + x31 + x783 - x1091 =E= 0;

e496.. x420*x384 + x30 + x784 - x1092 =E= 0;

e497.. x421*x384 + x31 + x785 - x1093 =E= 0;

e498.. x420*x385 + x30 + x786 - x1094 =E= 0;

e499.. x421*x385 + x31 + x787 - x1095 =E= 0;

e500.. x422*x326 + x32 + x668 - x1060 =E= 0;

e501.. x423*x326 + x33 + x669 - x1061 =E= 0;

e502.. x422*x327 + x32 + x670 - x1062 =E= 0;

e503.. x423*x327 + x33 + x671 - x1063 =E= 0;

e504.. x422*x328 + x32 + x672 - x1064 =E= 0;

e505.. x423*x328 + x33 + x673 - x1065 =E= 0;

e506.. x422*x329 + x32 + x674 - x1066 =E= 0;

e507.. x423*x329 + x33 + x675 - x1067 =E= 0;

e508.. x422*x330 + x32 + x676 - x1068 =E= 0;

e509.. x423*x330 + x33 + x677 - x1069 =E= 0;

e510.. x422*x331 + x32 + x678 - x1070 =E= 0;

e511.. x423*x331 + x33 + x679 - x1071 =E= 0;

e512.. x424*x356 + x34 + x728 - x1072 =E= 0;

e513.. x425*x356 + x35 + x729 - x1073 =E= 0;

e514.. x424*x357 + x34 + x730 - x1074 =E= 0;

e515.. x425*x357 + x35 + x731 - x1075 =E= 0;

e516.. x424*x358 + x34 + x732 - x1076 =E= 0;

e517.. x425*x358 + x35 + x733 - x1077 =E= 0;

e518.. x424*x359 + x34 + x734 - x1078 =E= 0;

e519.. x425*x359 + x35 + x735 - x1079 =E= 0;

e520.. x424*x360 + x34 + x736 - x1080 =E= 0;

e521.. x425*x360 + x35 + x737 - x1081 =E= 0;

e522.. x424*x361 + x34 + x738 - x1082 =E= 0;

e523.. x425*x361 + x35 + x739 - x1083 =E= 0;

e524.. x426*x386 + x36 + x788 - x1084 =E= 0;

e525.. x427*x386 + x37 + x789 - x1085 =E= 0;

e526.. x426*x387 + x36 + x790 - x1086 =E= 0;

e527.. x427*x387 + x37 + x791 - x1087 =E= 0;

e528.. x426*x388 + x36 + x792 - x1088 =E= 0;

e529.. x427*x388 + x37 + x793 - x1089 =E= 0;

e530.. x426*x389 + x36 + x794 - x1090 =E= 0;

e531.. x427*x389 + x37 + x795 - x1091 =E= 0;

e532.. x426*x390 + x36 + x796 - x1092 =E= 0;

e533.. x427*x390 + x37 + x797 - x1093 =E= 0;

e534.. x426*x391 + x36 + x798 - x1094 =E= 0;

e535.. x427*x391 + x37 + x799 - x1095 =E= 0;

e536.. x428*x362 + x38 + x740 - x1072 =E= 0;

e537.. x429*x362 + x39 + x741 - x1073 =E= 0;

e538.. x428*x363 + x38 + x742 - x1074 =E= 0;

e539.. x429*x363 + x39 + x743 - x1075 =E= 0;

e540.. x428*x364 + x38 + x744 - x1076 =E= 0;

e541.. x429*x364 + x39 + x745 - x1077 =E= 0;

e542.. x428*x365 + x38 + x746 - x1078 =E= 0;

e543.. x429*x365 + x39 + x747 - x1079 =E= 0;

e544.. x428*x366 + x38 + x748 - x1080 =E= 0;

e545.. x429*x366 + x39 + x749 - x1081 =E= 0;

e546.. x428*x367 + x38 + x750 - x1082 =E= 0;

e547.. x429*x367 + x39 + x751 - x1083 =E= 0;

e548.. x430*x392 + x40 + x800 - x1084 =E= 0;

e549.. x431*x392 + x41 + x801 - x1085 =E= 0;

e550.. x430*x393 + x40 + x802 - x1086 =E= 0;

e551.. x431*x393 + x41 + x803 - x1087 =E= 0;

e552.. x430*x394 + x40 + x804 - x1088 =E= 0;

e553.. x431*x394 + x41 + x805 - x1089 =E= 0;

e554.. x430*x395 + x40 + x806 - x1090 =E= 0;

e555.. x431*x395 + x41 + x807 - x1091 =E= 0;

e556.. x430*x396 + x40 + x808 - x1092 =E= 0;

e557.. x431*x396 + x41 + x809 - x1093 =E= 0;

e558.. x430*x397 + x40 + x810 - x1094 =E= 0;

e559.. x431*x397 + x41 + x811 - x1095 =E= 0;

e560.. x432*x398 + x42 + x812 - x1084 =E= 0;

e561.. x433*x398 + x43 + x813 - x1085 =E= 0;

e562.. x432*x399 + x42 + x814 - x1086 =E= 0;

e563.. x433*x399 + x43 + x815 - x1087 =E= 0;

e564.. x432*x400 + x42 + x816 - x1088 =E= 0;

e565.. x433*x400 + x43 + x817 - x1089 =E= 0;

e566.. x432*x401 + x42 + x818 - x1090 =E= 0;

e567.. x433*x401 + x43 + x819 - x1091 =E= 0;

e568.. x432*x402 + x42 + x820 - x1092 =E= 0;

e569.. x433*x402 + x43 + x821 - x1093 =E= 0;

e570.. x432*x403 + x42 + x822 - x1094 =E= 0;

e571.. x433*x403 + x43 + x823 - x1095 =E= 0;

e572.. -x44*x434 + x464 =E= 0;

e573.. -x44*x435 + x465 =E= 0;

e574.. -x45*x434 + x466 =E= 0;

e575.. -x45*x435 + x467 =E= 0;

e576.. -x46*x434 + x468 =E= 0;

e577.. -x46*x435 + x469 =E= 0;

e578.. -x47*x434 + x470 =E= 0;

e579.. -x47*x435 + x471 =E= 0;

e580.. -x48*x434 + x472 =E= 0;

e581.. -x48*x435 + x473 =E= 0;

e582.. -x49*x434 + x474 =E= 0;

e583.. -x49*x435 + x475 =E= 0;

e584.. -x50*x436 + x476 =E= 0;

e585.. -x50*x437 + x477 =E= 0;

e586.. -x51*x436 + x478 =E= 0;

e587.. -x51*x437 + x479 =E= 0;

e588.. -x52*x436 + x480 =E= 0;

e589.. -x52*x437 + x481 =E= 0;

e590.. -x53*x436 + x482 =E= 0;

e591.. -x53*x437 + x483 =E= 0;

e592.. -x54*x436 + x484 =E= 0;

e593.. -x54*x437 + x485 =E= 0;

e594.. -x55*x436 + x486 =E= 0;

e595.. -x55*x437 + x487 =E= 0;

e596.. -x56*x438 + x488 =E= 0;

e597.. -x56*x439 + x489 =E= 0;

e598.. -x57*x438 + x490 =E= 0;

e599.. -x57*x439 + x491 =E= 0;

e600.. -x58*x438 + x492 =E= 0;

e601.. -x58*x439 + x493 =E= 0;

e602.. -x59*x438 + x494 =E= 0;

e603.. -x59*x439 + x495 =E= 0;

e604.. -x60*x438 + x496 =E= 0;

e605.. -x60*x439 + x497 =E= 0;

e606.. -x61*x438 + x498 =E= 0;

e607.. -x61*x439 + x499 =E= 0;

e608.. -x62*x440 + x500 =E= 0;

e609.. -x62*x441 + x501 =E= 0;

e610.. -x63*x440 + x502 =E= 0;

e611.. -x63*x441 + x503 =E= 0;

e612.. -x64*x440 + x504 =E= 0;

e613.. -x64*x441 + x505 =E= 0;

e614.. -x65*x440 + x506 =E= 0;

e615.. -x65*x441 + x507 =E= 0;

e616.. -x66*x440 + x508 =E= 0;

e617.. -x66*x441 + x509 =E= 0;

e618.. -x67*x440 + x510 =E= 0;

e619.. -x67*x441 + x511 =E= 0;

e620.. -x68*x442 + x512 =E= 0;

e621.. -x68*x443 + x513 =E= 0;

e622.. -x69*x442 + x514 =E= 0;

e623.. -x69*x443 + x515 =E= 0;

e624.. -x70*x442 + x516 =E= 0;

e625.. -x70*x443 + x517 =E= 0;

e626.. -x71*x442 + x518 =E= 0;

e627.. -x71*x443 + x519 =E= 0;

e628.. -x72*x442 + x520 =E= 0;

e629.. -x72*x443 + x521 =E= 0;

e630.. -x73*x442 + x522 =E= 0;

e631.. -x73*x443 + x523 =E= 0;

e632.. -x80*x444 + x536 =E= 0;

e633.. -x80*x445 + x537 =E= 0;

e634.. -x81*x444 + x538 =E= 0;

e635.. -x81*x445 + x539 =E= 0;

e636.. -x82*x444 + x540 =E= 0;

e637.. -x82*x445 + x541 =E= 0;

e638.. -x83*x444 + x542 =E= 0;

e639.. -x83*x445 + x543 =E= 0;

e640.. -x84*x444 + x544 =E= 0;

e641.. -x84*x445 + x545 =E= 0;

e642.. -x85*x444 + x546 =E= 0;

e643.. -x85*x445 + x547 =E= 0;

e644.. -x86*x446 + x548 =E= 0;

e645.. -x86*x447 + x549 =E= 0;

e646.. -x87*x446 + x550 =E= 0;

e647.. -x87*x447 + x551 =E= 0;

e648.. -x88*x446 + x552 =E= 0;

e649.. -x88*x447 + x553 =E= 0;

e650.. -x89*x446 + x554 =E= 0;

e651.. -x89*x447 + x555 =E= 0;

e652.. -x90*x446 + x556 =E= 0;

e653.. -x90*x447 + x557 =E= 0;

e654.. -x91*x446 + x558 =E= 0;

e655.. -x91*x447 + x559 =E= 0;

e656.. -x92*x448 + x560 =E= 0;

e657.. -x92*x449 + x561 =E= 0;

e658.. -x93*x448 + x562 =E= 0;

e659.. -x93*x449 + x563 =E= 0;

e660.. -x94*x448 + x564 =E= 0;

e661.. -x94*x449 + x565 =E= 0;

e662.. -x95*x448 + x566 =E= 0;

e663.. -x95*x449 + x567 =E= 0;

e664.. -x96*x448 + x568 =E= 0;

e665.. -x96*x449 + x569 =E= 0;

e666.. -x97*x448 + x570 =E= 0;

e667.. -x97*x449 + x571 =E= 0;

e668.. -x98*x450 + x572 =E= 0;

e669.. -x98*x451 + x573 =E= 0;

e670.. -x99*x450 + x574 =E= 0;

e671.. -x99*x451 + x575 =E= 0;

e672.. -x100*x450 + x576 =E= 0;

e673.. -x100*x451 + x577 =E= 0;

e674.. -x101*x450 + x578 =E= 0;

e675.. -x101*x451 + x579 =E= 0;

e676.. -x102*x450 + x580 =E= 0;

e677.. -x102*x451 + x581 =E= 0;

e678.. -x103*x450 + x582 =E= 0;

e679.. -x103*x451 + x583 =E= 0;

e680.. -x116*x452 + x608 =E= 0;

e681.. -x116*x453 + x609 =E= 0;

e682.. -x117*x452 + x610 =E= 0;

e683.. -x117*x453 + x611 =E= 0;

e684.. -x118*x452 + x612 =E= 0;

e685.. -x118*x453 + x613 =E= 0;

e686.. -x119*x452 + x614 =E= 0;

e687.. -x119*x453 + x615 =E= 0;

e688.. -x120*x452 + x616 =E= 0;

e689.. -x120*x453 + x617 =E= 0;

e690.. -x121*x452 + x618 =E= 0;

e691.. -x121*x453 + x619 =E= 0;

e692.. -x122*x454 + x620 =E= 0;

e693.. -x122*x455 + x621 =E= 0;

e694.. -x123*x454 + x622 =E= 0;

e695.. -x123*x455 + x623 =E= 0;

e696.. -x124*x454 + x624 =E= 0;

e697.. -x124*x455 + x625 =E= 0;

e698.. -x125*x454 + x626 =E= 0;

e699.. -x125*x455 + x627 =E= 0;

e700.. -x126*x454 + x628 =E= 0;

e701.. -x126*x455 + x629 =E= 0;

e702.. -x127*x454 + x630 =E= 0;

e703.. -x127*x455 + x631 =E= 0;

e704.. -x128*x456 + x632 =E= 0;

e705.. -x128*x457 + x633 =E= 0;

e706.. -x129*x456 + x634 =E= 0;

e707.. -x129*x457 + x635 =E= 0;

e708.. -x130*x456 + x636 =E= 0;

e709.. -x130*x457 + x637 =E= 0;

e710.. -x131*x456 + x638 =E= 0;

e711.. -x131*x457 + x639 =E= 0;

e712.. -x132*x456 + x640 =E= 0;

e713.. -x132*x457 + x641 =E= 0;

e714.. -x133*x456 + x642 =E= 0;

e715.. -x133*x457 + x643 =E= 0;

e716.. -x152*x458 + x680 =E= 0;

e717.. -x152*x459 + x681 =E= 0;

e718.. -x153*x458 + x682 =E= 0;

e719.. -x153*x459 + x683 =E= 0;

e720.. -x154*x458 + x684 =E= 0;

e721.. -x154*x459 + x685 =E= 0;

e722.. -x155*x458 + x686 =E= 0;

e723.. -x155*x459 + x687 =E= 0;

e724.. -x156*x458 + x688 =E= 0;

e725.. -x156*x459 + x689 =E= 0;

e726.. -x157*x458 + x690 =E= 0;

e727.. -x157*x459 + x691 =E= 0;

e728.. -x158*x460 + x692 =E= 0;

e729.. -x158*x461 + x693 =E= 0;

e730.. -x159*x460 + x694 =E= 0;

e731.. -x159*x461 + x695 =E= 0;

e732.. -x160*x460 + x696 =E= 0;

e733.. -x160*x461 + x697 =E= 0;

e734.. -x161*x460 + x698 =E= 0;

e735.. -x161*x461 + x699 =E= 0;

e736.. -x162*x460 + x700 =E= 0;

e737.. -x162*x461 + x701 =E= 0;

e738.. -x163*x460 + x702 =E= 0;

e739.. -x163*x461 + x703 =E= 0;

e740.. -x188*x462 + x752 =E= 0;

e741.. -x188*x463 + x753 =E= 0;

e742.. -x189*x462 + x754 =E= 0;

e743.. -x189*x463 + x755 =E= 0;

e744.. -x190*x462 + x756 =E= 0;

e745.. -x190*x463 + x757 =E= 0;

e746.. -x191*x462 + x758 =E= 0;

e747.. -x191*x463 + x759 =E= 0;

e748.. -x192*x462 + x760 =E= 0;

e749.. -x192*x463 + x761 =E= 0;

e750.. -x193*x462 + x762 =E= 0;

e751.. -x193*x463 + x763 =E= 0;

e752.. x74*x434 + x524 =E= 0;

e753.. x74*x435 + x525 =E= 0;

e754.. x75*x434 + x526 =E= 0;

e755.. x75*x435 + x527 =E= 0;

e756.. x76*x434 + x528 =E= 0;

e757.. x76*x435 + x529 =E= 0;

e758.. x77*x434 + x530 =E= 0;

e759.. x77*x435 + x531 =E= 0;

e760.. x78*x434 + x532 =E= 0;

e761.. x78*x435 + x533 =E= 0;

e762.. x79*x434 + x534 =E= 0;

e763.. x79*x435 + x535 =E= 0;

e764.. x104*x436 + x584 =E= 0;

e765.. x104*x437 + x585 =E= 0;

e766.. x105*x436 + x586 =E= 0;

e767.. x105*x437 + x587 =E= 0;

e768.. x106*x436 + x588 =E= 0;

e769.. x106*x437 + x589 =E= 0;

e770.. x107*x436 + x590 =E= 0;

e771.. x107*x437 + x591 =E= 0;

e772.. x108*x436 + x592 =E= 0;

e773.. x108*x437 + x593 =E= 0;

e774.. x109*x436 + x594 =E= 0;

e775.. x109*x437 + x595 =E= 0;

e776.. x134*x438 + x644 =E= 0;

e777.. x134*x439 + x645 =E= 0;

e778.. x135*x438 + x646 =E= 0;

e779.. x135*x439 + x647 =E= 0;

e780.. x136*x438 + x648 =E= 0;

e781.. x136*x439 + x649 =E= 0;

e782.. x137*x438 + x650 =E= 0;

e783.. x137*x439 + x651 =E= 0;

e784.. x138*x438 + x652 =E= 0;

e785.. x138*x439 + x653 =E= 0;

e786.. x139*x438 + x654 =E= 0;

e787.. x139*x439 + x655 =E= 0;

e788.. x164*x440 + x704 =E= 0;

e789.. x164*x441 + x705 =E= 0;

e790.. x165*x440 + x706 =E= 0;

e791.. x165*x441 + x707 =E= 0;

e792.. x166*x440 + x708 =E= 0;

e793.. x166*x441 + x709 =E= 0;

e794.. x167*x440 + x710 =E= 0;

e795.. x167*x441 + x711 =E= 0;

e796.. x168*x440 + x712 =E= 0;

e797.. x168*x441 + x713 =E= 0;

e798.. x169*x440 + x714 =E= 0;

e799.. x169*x441 + x715 =E= 0;

e800.. x194*x442 + x764 =E= 0;

e801.. x194*x443 + x765 =E= 0;

e802.. x195*x442 + x766 =E= 0;

e803.. x195*x443 + x767 =E= 0;

e804.. x196*x442 + x768 =E= 0;

e805.. x196*x443 + x769 =E= 0;

e806.. x197*x442 + x770 =E= 0;

e807.. x197*x443 + x771 =E= 0;

e808.. x198*x442 + x772 =E= 0;

e809.. x198*x443 + x773 =E= 0;

e810.. x199*x442 + x774 =E= 0;

e811.. x199*x443 + x775 =E= 0;

e812.. x110*x444 + x596 =E= 0;

e813.. x110*x445 + x597 =E= 0;

e814.. x111*x444 + x598 =E= 0;

e815.. x111*x445 + x599 =E= 0;

e816.. x112*x444 + x600 =E= 0;

e817.. x112*x445 + x601 =E= 0;

e818.. x113*x444 + x602 =E= 0;

e819.. x113*x445 + x603 =E= 0;

e820.. x114*x444 + x604 =E= 0;

e821.. x114*x445 + x605 =E= 0;

e822.. x115*x444 + x606 =E= 0;

e823.. x115*x445 + x607 =E= 0;

e824.. x140*x446 + x656 =E= 0;

e825.. x140*x447 + x657 =E= 0;

e826.. x141*x446 + x658 =E= 0;

e827.. x141*x447 + x659 =E= 0;

e828.. x142*x446 + x660 =E= 0;

e829.. x142*x447 + x661 =E= 0;

e830.. x143*x446 + x662 =E= 0;

e831.. x143*x447 + x663 =E= 0;

e832.. x144*x446 + x664 =E= 0;

e833.. x144*x447 + x665 =E= 0;

e834.. x145*x446 + x666 =E= 0;

e835.. x145*x447 + x667 =E= 0;

e836.. x170*x448 + x716 =E= 0;

e837.. x170*x449 + x717 =E= 0;

e838.. x171*x448 + x718 =E= 0;

e839.. x171*x449 + x719 =E= 0;

e840.. x172*x448 + x720 =E= 0;

e841.. x172*x449 + x721 =E= 0;

e842.. x173*x448 + x722 =E= 0;

e843.. x173*x449 + x723 =E= 0;

e844.. x174*x448 + x724 =E= 0;

e845.. x174*x449 + x725 =E= 0;

e846.. x175*x448 + x726 =E= 0;

e847.. x175*x449 + x727 =E= 0;

e848.. x200*x450 + x776 =E= 0;

e849.. x200*x451 + x777 =E= 0;

e850.. x201*x450 + x778 =E= 0;

e851.. x201*x451 + x779 =E= 0;

e852.. x202*x450 + x780 =E= 0;

e853.. x202*x451 + x781 =E= 0;

e854.. x203*x450 + x782 =E= 0;

e855.. x203*x451 + x783 =E= 0;

e856.. x204*x450 + x784 =E= 0;

e857.. x204*x451 + x785 =E= 0;

e858.. x205*x450 + x786 =E= 0;

e859.. x205*x451 + x787 =E= 0;

e860.. x146*x452 + x668 =E= 0;

e861.. x146*x453 + x669 =E= 0;

e862.. x147*x452 + x670 =E= 0;

e863.. x147*x453 + x671 =E= 0;

e864.. x148*x452 + x672 =E= 0;

e865.. x148*x453 + x673 =E= 0;

e866.. x149*x452 + x674 =E= 0;

e867.. x149*x453 + x675 =E= 0;

e868.. x150*x452 + x676 =E= 0;

e869.. x150*x453 + x677 =E= 0;

e870.. x151*x452 + x678 =E= 0;

e871.. x151*x453 + x679 =E= 0;

e872.. x176*x454 + x728 =E= 0;

e873.. x176*x455 + x729 =E= 0;

e874.. x177*x454 + x730 =E= 0;

e875.. x177*x455 + x731 =E= 0;

e876.. x178*x454 + x732 =E= 0;

e877.. x178*x455 + x733 =E= 0;

e878.. x179*x454 + x734 =E= 0;

e879.. x179*x455 + x735 =E= 0;

e880.. x180*x454 + x736 =E= 0;

e881.. x180*x455 + x737 =E= 0;

e882.. x181*x454 + x738 =E= 0;

e883.. x181*x455 + x739 =E= 0;

e884.. x206*x456 + x788 =E= 0;

e885.. x206*x457 + x789 =E= 0;

e886.. x207*x456 + x790 =E= 0;

e887.. x207*x457 + x791 =E= 0;

e888.. x208*x456 + x792 =E= 0;

e889.. x208*x457 + x793 =E= 0;

e890.. x209*x456 + x794 =E= 0;

e891.. x209*x457 + x795 =E= 0;

e892.. x210*x456 + x796 =E= 0;

e893.. x210*x457 + x797 =E= 0;

e894.. x211*x456 + x798 =E= 0;

e895.. x211*x457 + x799 =E= 0;

e896.. x182*x458 + x740 =E= 0;

e897.. x182*x459 + x741 =E= 0;

e898.. x183*x458 + x742 =E= 0;

e899.. x183*x459 + x743 =E= 0;

e900.. x184*x458 + x744 =E= 0;

e901.. x184*x459 + x745 =E= 0;

e902.. x185*x458 + x746 =E= 0;

e903.. x185*x459 + x747 =E= 0;

e904.. x186*x458 + x748 =E= 0;

e905.. x186*x459 + x749 =E= 0;

e906.. x187*x458 + x750 =E= 0;

e907.. x187*x459 + x751 =E= 0;

e908.. x212*x460 + x800 =E= 0;

e909.. x212*x461 + x801 =E= 0;

e910.. x213*x460 + x802 =E= 0;

e911.. x213*x461 + x803 =E= 0;

e912.. x214*x460 + x804 =E= 0;

e913.. x214*x461 + x805 =E= 0;

e914.. x215*x460 + x806 =E= 0;

e915.. x215*x461 + x807 =E= 0;

e916.. x216*x460 + x808 =E= 0;

e917.. x216*x461 + x809 =E= 0;

e918.. x217*x460 + x810 =E= 0;

e919.. x217*x461 + x811 =E= 0;

e920.. x218*x462 + x812 =E= 0;

e921.. x218*x463 + x813 =E= 0;

e922.. x219*x462 + x814 =E= 0;

e923.. x219*x463 + x815 =E= 0;

e924.. x220*x462 + x816 =E= 0;

e925.. x220*x463 + x817 =E= 0;

e926.. x221*x462 + x818 =E= 0;

e927.. x221*x463 + x819 =E= 0;

e928.. x222*x462 + x820 =E= 0;

e929.. x222*x463 + x821 =E= 0;

e930.. x223*x462 + x822 =E= 0;

e931.. x223*x463 + x823 =E= 0;

e932.. x914*x914 + x915*x915 =E= 1;

e933.. x916*x916 + x917*x917 =E= 1;

e934.. x918*x918 + x919*x919 =E= 1;

e935.. x920*x920 + x921*x921 =E= 1;

e936.. x922*x922 + x923*x923 =E= 1;

e937.. x924*x924 + x925*x925 =E= 1;

e938..  - x915 + x926 =E= 0;

e939..  - x917 + x928 =E= 0;

e940..  - x919 + x930 =E= 0;

e941..  - x921 + x932 =E= 0;

e942..  - x923 + x934 =E= 0;

e943..  - x925 + x936 =E= 0;

e944..    x914 + x927 =E= 0;

e945..    x916 + x929 =E= 0;

e946..    x918 + x931 =E= 0;

e947..    x920 + x933 =E= 0;

e948..    x922 + x935 =E= 0;

e949..    x924 + x937 =E= 0;

e950.. x914*x872 + x824 + x938 - x1024 =E= 0;

e951.. x915*x872 + x825 + x939 - x1025 =E= 0;

e952.. x914*x873 + x824 + x940 - x1026 =E= 0;

e953.. x915*x873 + x825 + x941 - x1027 =E= 0;

e954.. x914*x874 + x824 + x942 - x1028 =E= 0;

e955.. x915*x874 + x825 + x943 - x1029 =E= 0;

e956.. x914*x875 + x824 + x944 - x1030 =E= 0;

e957.. x915*x875 + x825 + x945 - x1031 =E= 0;

e958.. x914*x876 + x824 + x946 - x1032 =E= 0;

e959.. x915*x876 + x825 + x947 - x1033 =E= 0;

e960.. x914*x877 + x824 + x948 - x1034 =E= 0;

e961.. x915*x877 + x825 + x949 - x1035 =E= 0;

e962.. x916*x878 + x826 + x950 - x1036 =E= 0;

e963.. x917*x878 + x827 + x951 - x1037 =E= 0;

e964.. x916*x879 + x826 + x952 - x1038 =E= 0;

e965.. x917*x879 + x827 + x953 - x1039 =E= 0;

e966.. x916*x880 + x826 + x954 - x1040 =E= 0;

e967.. x917*x880 + x827 + x955 - x1041 =E= 0;

e968.. x916*x881 + x826 + x956 - x1042 =E= 0;

e969.. x917*x881 + x827 + x957 - x1043 =E= 0;

e970.. x916*x882 + x826 + x958 - x1044 =E= 0;

e971.. x917*x882 + x827 + x959 - x1045 =E= 0;

e972.. x916*x883 + x826 + x960 - x1046 =E= 0;

e973.. x917*x883 + x827 + x961 - x1047 =E= 0;

e974.. x918*x884 + x828 + x962 - x1048 =E= 0;

e975.. x919*x884 + x829 + x963 - x1049 =E= 0;

e976.. x918*x885 + x828 + x964 - x1050 =E= 0;

e977.. x919*x885 + x829 + x965 - x1051 =E= 0;

e978.. x918*x886 + x828 + x966 - x1052 =E= 0;

e979.. x919*x886 + x829 + x967 - x1053 =E= 0;

e980.. x918*x887 + x828 + x968 - x1054 =E= 0;

e981.. x919*x887 + x829 + x969 - x1055 =E= 0;

e982.. x918*x888 + x828 + x970 - x1056 =E= 0;

e983.. x919*x888 + x829 + x971 - x1057 =E= 0;

e984.. x918*x889 + x828 + x972 - x1058 =E= 0;

e985.. x919*x889 + x829 + x973 - x1059 =E= 0;

e986.. x920*x890 + x830 + x974 - x1060 =E= 0;

e987.. x921*x890 + x831 + x975 - x1061 =E= 0;

e988.. x920*x891 + x830 + x976 - x1062 =E= 0;

e989.. x921*x891 + x831 + x977 - x1063 =E= 0;

e990.. x920*x892 + x830 + x978 - x1064 =E= 0;

e991.. x921*x892 + x831 + x979 - x1065 =E= 0;

e992.. x920*x893 + x830 + x980 - x1066 =E= 0;

e993.. x921*x893 + x831 + x981 - x1067 =E= 0;

e994.. x920*x894 + x830 + x982 - x1068 =E= 0;

e995.. x921*x894 + x831 + x983 - x1069 =E= 0;

e996.. x920*x895 + x830 + x984 - x1070 =E= 0;

e997.. x921*x895 + x831 + x985 - x1071 =E= 0;

e998.. x922*x896 + x832 + x986 - x1072 =E= 0;

e999.. x923*x896 + x833 + x987 - x1073 =E= 0;

e1000.. x922*x897 + x832 + x988 - x1074 =E= 0;

e1001.. x923*x897 + x833 + x989 - x1075 =E= 0;

e1002.. x922*x898 + x832 + x990 - x1076 =E= 0;

e1003.. x923*x898 + x833 + x991 - x1077 =E= 0;

e1004.. x922*x899 + x832 + x992 - x1078 =E= 0;

e1005.. x923*x899 + x833 + x993 - x1079 =E= 0;

e1006.. x922*x900 + x832 + x994 - x1080 =E= 0;

e1007.. x923*x900 + x833 + x995 - x1081 =E= 0;

e1008.. x922*x901 + x832 + x996 - x1082 =E= 0;

e1009.. x923*x901 + x833 + x997 - x1083 =E= 0;

e1010.. x924*x902 + x834 + x998 - x1084 =E= 0;

e1011.. x925*x902 + x835 + x999 - x1085 =E= 0;

e1012.. x924*x903 + x834 + x1000 - x1086 =E= 0;

e1013.. x925*x903 + x835 + x1001 - x1087 =E= 0;

e1014.. x924*x904 + x834 + x1002 - x1088 =E= 0;

e1015.. x925*x904 + x835 + x1003 - x1089 =E= 0;

e1016.. x924*x905 + x834 + x1004 - x1090 =E= 0;

e1017.. x925*x905 + x835 + x1005 - x1091 =E= 0;

e1018.. x924*x906 + x834 + x1006 - x1092 =E= 0;

e1019.. x925*x906 + x835 + x1007 - x1093 =E= 0;

e1020.. x924*x907 + x834 + x1008 - x1094 =E= 0;

e1021.. x925*x907 + x835 + x1009 - x1095 =E= 0;

e1022.. x914*x908 + x824 + x1010 - x1022 =E= 0;

e1023.. x915*x908 + x825 + x1011 - x1023 =E= 0;

e1024.. x916*x909 + x826 + x1012 - x1022 =E= 0;

e1025.. x917*x909 + x827 + x1013 - x1023 =E= 0;

e1026.. x918*x910 + x828 + x1014 - x1022 =E= 0;

e1027.. x919*x910 + x829 + x1015 - x1023 =E= 0;

e1028.. x920*x911 + x830 + x1016 - x1022 =E= 0;

e1029.. x921*x911 + x831 + x1017 - x1023 =E= 0;

e1030.. x922*x912 + x832 + x1018 - x1022 =E= 0;

e1031.. x923*x912 + x833 + x1019 - x1023 =E= 0;

e1032.. x924*x913 + x834 + x1020 - x1022 =E= 0;

e1033.. x925*x913 + x835 + x1021 - x1023 =E= 0;

e1034.. -x836*x926 + x938 =E= 0;

e1035.. -x836*x927 + x939 =E= 0;

e1036.. -x837*x926 + x940 =E= 0;

e1037.. -x837*x927 + x941 =E= 0;

e1038.. -x838*x926 + x942 =E= 0;

e1039.. -x838*x927 + x943 =E= 0;

e1040.. -x839*x926 + x944 =E= 0;

e1041.. -x839*x927 + x945 =E= 0;

e1042.. -x840*x926 + x946 =E= 0;

e1043.. -x840*x927 + x947 =E= 0;

e1044.. -x841*x926 + x948 =E= 0;

e1045.. -x841*x927 + x949 =E= 0;

e1046.. -x842*x928 + x950 =E= 0;

e1047.. -x842*x929 + x951 =E= 0;

e1048.. -x843*x928 + x952 =E= 0;

e1049.. -x843*x929 + x953 =E= 0;

e1050.. -x844*x928 + x954 =E= 0;

e1051.. -x844*x929 + x955 =E= 0;

e1052.. -x845*x928 + x956 =E= 0;

e1053.. -x845*x929 + x957 =E= 0;

e1054.. -x846*x928 + x958 =E= 0;

e1055.. -x846*x929 + x959 =E= 0;

e1056.. -x847*x928 + x960 =E= 0;

e1057.. -x847*x929 + x961 =E= 0;

e1058.. -x848*x930 + x962 =E= 0;

e1059.. -x848*x931 + x963 =E= 0;

e1060.. -x849*x930 + x964 =E= 0;

e1061.. -x849*x931 + x965 =E= 0;

e1062.. -x850*x930 + x966 =E= 0;

e1063.. -x850*x931 + x967 =E= 0;

e1064.. -x851*x930 + x968 =E= 0;

e1065.. -x851*x931 + x969 =E= 0;

e1066.. -x852*x930 + x970 =E= 0;

e1067.. -x852*x931 + x971 =E= 0;

e1068.. -x853*x930 + x972 =E= 0;

e1069.. -x853*x931 + x973 =E= 0;

e1070.. -x854*x932 + x974 =E= 0;

e1071.. -x854*x933 + x975 =E= 0;

e1072.. -x855*x932 + x976 =E= 0;

e1073.. -x855*x933 + x977 =E= 0;

e1074.. -x856*x932 + x978 =E= 0;

e1075.. -x856*x933 + x979 =E= 0;

e1076.. -x857*x932 + x980 =E= 0;

e1077.. -x857*x933 + x981 =E= 0;

e1078.. -x858*x932 + x982 =E= 0;

e1079.. -x858*x933 + x983 =E= 0;

e1080.. -x859*x932 + x984 =E= 0;

e1081.. -x859*x933 + x985 =E= 0;

e1082.. -x860*x934 + x986 =E= 0;

e1083.. -x860*x935 + x987 =E= 0;

e1084.. -x861*x934 + x988 =E= 0;

e1085.. -x861*x935 + x989 =E= 0;

e1086.. -x862*x934 + x990 =E= 0;

e1087.. -x862*x935 + x991 =E= 0;

e1088.. -x863*x934 + x992 =E= 0;

e1089.. -x863*x935 + x993 =E= 0;

e1090.. -x864*x934 + x994 =E= 0;

e1091.. -x864*x935 + x995 =E= 0;

e1092.. -x865*x934 + x996 =E= 0;

e1093.. -x865*x935 + x997 =E= 0;

e1094.. -x866*x936 + x998 =E= 0;

e1095.. -x866*x937 + x999 =E= 0;

e1096.. -x867*x936 + x1000 =E= 0;

e1097.. -x867*x937 + x1001 =E= 0;

e1098.. -x868*x936 + x1002 =E= 0;

e1099.. -x868*x937 + x1003 =E= 0;

e1100.. -x869*x936 + x1004 =E= 0;

e1101.. -x869*x937 + x1005 =E= 0;

e1102.. -x870*x936 + x1006 =E= 0;

e1103.. -x870*x937 + x1007 =E= 0;

e1104.. -x871*x936 + x1008 =E= 0;

e1105.. -x871*x937 + x1009 =E= 0;

e1106..    1.2*x926 + x1010 =E= 0;

e1107..    1.2*x927 + x1011 =E= 0;

e1108..    1.2*x928 + x1012 =E= 0;

e1109..    1.2*x929 + x1013 =E= 0;

e1110..    1.2*x930 + x1014 =E= 0;

e1111..    1.2*x931 + x1015 =E= 0;

e1112..    1.2*x932 + x1016 =E= 0;

e1113..    1.2*x933 + x1017 =E= 0;

e1114..    1.2*x934 + x1018 =E= 0;

e1115..    1.2*x935 + x1019 =E= 0;

e1116..    1.2*x936 + x1020 =E= 0;

e1117..    1.2*x937 + x1021 =E= 0;

e1118..    x1022 =L= 4;

e1119..    x1023 =L= 2;

e1120..    x1096 - x1098 =L= 0;

e1121..    x1096 - x1100 =L= 0;

e1122..    x1096 - x1102 =L= 0;

e1123..    x1096 - x1104 =L= 0;

e1124..    x1096 - x1106 =L= 0;

e1125..    x1098 - x1100 =L= 0;

e1126..    x1098 - x1102 =L= 0;

e1127..    x1098 - x1104 =L= 0;

e1128..    x1098 - x1106 =L= 0;

e1129..    x1100 - x1102 =L= 0;

e1130..    x1100 - x1104 =L= 0;

e1131..    x1100 - x1106 =L= 0;

e1132..    x1102 - x1104 =L= 0;

e1133..    x1102 - x1106 =L= 0;

e1134..    x1104 - x1106 =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.lo = -1; x12.up = 1;
x13.lo = -1; x13.up = 1;
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;
x33.up = 4;
x34.up = 8;
x35.up = 4;
x36.up = 8;
x37.up = 4;
x38.up = 8;
x39.up = 4;
x40.up = 8;
x41.up = 4;
x42.up = 8;
x43.up = 4;
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.up = 8.94427190999916;
x153.up = 8.94427190999916;
x154.up = 8.94427190999916;
x155.up = 8.94427190999916;
x156.up = 8.94427190999916;
x157.up = 8.94427190999916;
x158.up = 8.94427190999916;
x159.up = 8.94427190999916;
x160.up = 8.94427190999916;
x161.up = 8.94427190999916;
x162.up = 8.94427190999916;
x163.up = 8.94427190999916;
x164.up = 8.94427190999916;
x165.up = 8.94427190999916;
x166.up = 8.94427190999916;
x167.up = 8.94427190999916;
x168.up = 8.94427190999916;
x169.up = 8.94427190999916;
x170.up = 8.94427190999916;
x171.up = 8.94427190999916;
x172.up = 8.94427190999916;
x173.up = 8.94427190999916;
x174.up = 8.94427190999916;
x175.up = 8.94427190999916;
x176.up = 8.94427190999916;
x177.up = 8.94427190999916;
x178.up = 8.94427190999916;
x179.up = 8.94427190999916;
x180.up = 8.94427190999916;
x181.up = 8.94427190999916;
x182.up = 8.94427190999916;
x183.up = 8.94427190999916;
x184.up = 8.94427190999916;
x185.up = 8.94427190999916;
x186.up = 8.94427190999916;
x187.up = 8.94427190999916;
x188.up = 8.94427190999916;
x189.up = 8.94427190999916;
x190.up = 8.94427190999916;
x191.up = 8.94427190999916;
x192.up = 8.94427190999916;
x193.up = 8.94427190999916;
x194.up = 8.94427190999916;
x195.up = 8.94427190999916;
x196.up = 8.94427190999916;
x197.up = 8.94427190999916;
x198.up = 8.94427190999916;
x199.up = 8.94427190999916;
x200.up = 8.94427190999916;
x201.up = 8.94427190999916;
x202.up = 8.94427190999916;
x203.up = 8.94427190999916;
x204.up = 8.94427190999916;
x205.up = 8.94427190999916;
x206.up = 8.94427190999916;
x207.up = 8.94427190999916;
x208.up = 8.94427190999916;
x209.up = 8.94427190999916;
x210.up = 8.94427190999916;
x211.up = 8.94427190999916;
x212.up = 8.94427190999916;
x213.up = 8.94427190999916;
x214.up = 8.94427190999916;
x215.up = 8.94427190999916;
x216.up = 8.94427190999916;
x217.up = 8.94427190999916;
x218.up = 8.94427190999916;
x219.up = 8.94427190999916;
x220.up = 8.94427190999916;
x221.up = 8.94427190999916;
x222.up = 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 = -8.94427190999916; x272.up = 8.94427190999916;
x273.lo = -8.94427190999916; x273.up = 8.94427190999916;
x274.lo = -8.94427190999916; x274.up = 8.94427190999916;
x275.lo = -8.94427190999916; x275.up = 8.94427190999916;
x276.lo = -8.94427190999916; x276.up = 8.94427190999916;
x277.lo = -8.94427190999916; x277.up = 8.94427190999916;
x278.lo = -8.94427190999916; x278.up = 8.94427190999916;
x279.lo = -8.94427190999916; x279.up = 8.94427190999916;
x280.lo = -8.94427190999916; x280.up = 8.94427190999916;
x281.lo = -8.94427190999916; x281.up = 8.94427190999916;
x282.lo = -8.94427190999916; x282.up = 8.94427190999916;
x283.lo = -8.94427190999916; x283.up = 8.94427190999916;
x284.lo = -8.94427190999916; x284.up = 8.94427190999916;
x285.lo = -8.94427190999916; x285.up = 8.94427190999916;
x286.lo = -8.94427190999916; x286.up = 8.94427190999916;
x287.lo = -8.94427190999916; x287.up = 8.94427190999916;
x288.lo = -8.94427190999916; x288.up = 8.94427190999916;
x289.lo = -8.94427190999916; x289.up = 8.94427190999916;
x290.lo = -8.94427190999916; x290.up = 8.94427190999916;
x291.lo = -8.94427190999916; x291.up = 8.94427190999916;
x292.lo = -8.94427190999916; x292.up = 8.94427190999916;
x293.lo = -8.94427190999916; x293.up = 8.94427190999916;
x294.lo = -8.94427190999916; x294.up = 8.94427190999916;
x295.lo = -8.94427190999916; x295.up = 8.94427190999916;
x296.lo = -8.94427190999916; x296.up = 8.94427190999916;
x297.lo = -8.94427190999916; x297.up = 8.94427190999916;
x298.lo = -8.94427190999916; x298.up = 8.94427190999916;
x299.lo = -8.94427190999916; x299.up = 8.94427190999916;
x300.lo = -8.94427190999916; x300.up = 8.94427190999916;
x301.lo = -8.94427190999916; x301.up = 8.94427190999916;
x302.lo = -8.94427190999916; x302.up = 8.94427190999916;
x303.lo = -8.94427190999916; x303.up = 8.94427190999916;
x304.lo = -8.94427190999916; x304.up = 8.94427190999916;
x305.lo = -8.94427190999916; x305.up = 8.94427190999916;
x306.lo = -8.94427190999916; x306.up = 8.94427190999916;
x307.lo = -8.94427190999916; x307.up = 8.94427190999916;
x308.lo = -8.94427190999916; x308.up = 8.94427190999916;
x309.lo = -8.94427190999916; x309.up = 8.94427190999916;
x310.lo = -8.94427190999916; x310.up = 8.94427190999916;
x311.lo = -8.94427190999916; x311.up = 8.94427190999916;
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 = -1; x404.up = 1;
x405.lo = -1; x405.up = 1;
x406.lo = -1; x406.up = 1;
x407.lo = -1; x407.up = 1;
x408.lo = -1; x408.up = 1;
x409.lo = -1; x409.up = 1;
x410.lo = -1; x410.up = 1;
x411.lo = -1; x411.up = 1;
x412.lo = -1; x412.up = 1;
x413.lo = -1; x413.up = 1;
x414.lo = -1; x414.up = 1;
x415.lo = -1; x415.up = 1;
x416.lo = -1; x416.up = 1;
x417.lo = -1; x417.up = 1;
x418.lo = -1; x418.up = 1;
x419.lo = -1; x419.up = 1;
x420.lo = -1; x420.up = 1;
x421.lo = -1; x421.up = 1;
x422.lo = -1; x422.up = 1;
x423.lo = -1; x423.up = 1;
x424.lo = -1; x424.up = 1;
x425.lo = -1; x425.up = 1;
x426.lo = -1; x426.up = 1;
x427.lo = -1; x427.up = 1;
x428.lo = -1; x428.up = 1;
x429.lo = -1; x429.up = 1;
x430.lo = -1; x430.up = 1;
x431.lo = -1; x431.up = 1;
x432.lo = -1; x432.up = 1;
x433.lo = -1; x433.up = 1;
x434.lo = -1; x434.up = 1;
x435.lo = -1; x435.up = 1;
x436.lo = -1; x436.up = 1;
x437.lo = -1; x437.up = 1;
x438.lo = -1; x438.up = 1;
x439.lo = -1; x439.up = 1;
x440.lo = -1; x440.up = 1;
x441.lo = -1; x441.up = 1;
x442.lo = -1; x442.up = 1;
x443.lo = -1; x443.up = 1;
x444.lo = -1; x444.up = 1;
x445.lo = -1; x445.up = 1;
x446.lo = -1; x446.up = 1;
x447.lo = -1; x447.up = 1;
x448.lo = -1; x448.up = 1;
x449.lo = -1; x449.up = 1;
x450.lo = -1; x450.up = 1;
x451.lo = -1; x451.up = 1;
x452.lo = -1; x452.up = 1;
x453.lo = -1; x453.up = 1;
x454.lo = -1; x454.up = 1;
x455.lo = -1; x455.up = 1;
x456.lo = -1; x456.up = 1;
x457.lo = -1; x457.up = 1;
x458.lo = -1; x458.up = 1;
x459.lo = -1; x459.up = 1;
x460.lo = -1; x460.up = 1;
x461.lo = -1; x461.up = 1;
x462.lo = -1; x462.up = 1;
x463.lo = -1; x463.up = 1;
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.lo = -8.94427190999916; x552.up = 8.94427190999916;
x553.lo = -8.94427190999916; x553.up = 8.94427190999916;
x554.lo = -8.94427190999916; x554.up = 8.94427190999916;
x555.lo = -8.94427190999916; x555.up = 8.94427190999916;
x556.lo = -8.94427190999916; x556.up = 8.94427190999916;
x557.lo = -8.94427190999916; x557.up = 8.94427190999916;
x558.lo = -8.94427190999916; x558.up = 8.94427190999916;
x559.lo = -8.94427190999916; x559.up = 8.94427190999916;
x560.lo = -8.94427190999916; x560.up = 8.94427190999916;
x561.lo = -8.94427190999916; x561.up = 8.94427190999916;
x562.lo = -8.94427190999916; x562.up = 8.94427190999916;
x563.lo = -8.94427190999916; x563.up = 8.94427190999916;
x564.lo = -8.94427190999916; x564.up = 8.94427190999916;
x565.lo = -8.94427190999916; x565.up = 8.94427190999916;
x566.lo = -8.94427190999916; x566.up = 8.94427190999916;
x567.lo = -8.94427190999916; x567.up = 8.94427190999916;
x568.lo = -8.94427190999916; x568.up = 8.94427190999916;
x569.lo = -8.94427190999916; x569.up = 8.94427190999916;
x570.lo = -8.94427190999916; x570.up = 8.94427190999916;
x571.lo = -8.94427190999916; x571.up = 8.94427190999916;
x572.lo = -8.94427190999916; x572.up = 8.94427190999916;
x573.lo = -8.94427190999916; x573.up = 8.94427190999916;
x574.lo = -8.94427190999916; x574.up = 8.94427190999916;
x575.lo = -8.94427190999916; x575.up = 8.94427190999916;
x576.lo = -8.94427190999916; x576.up = 8.94427190999916;
x577.lo = -8.94427190999916; x577.up = 8.94427190999916;
x578.lo = -8.94427190999916; x578.up = 8.94427190999916;
x579.lo = -8.94427190999916; x579.up = 8.94427190999916;
x580.lo = -8.94427190999916; x580.up = 8.94427190999916;
x581.lo = -8.94427190999916; x581.up = 8.94427190999916;
x582.lo = -8.94427190999916; x582.up = 8.94427190999916;
x583.lo = -8.94427190999916; x583.up = 8.94427190999916;
x584.lo = -8.94427190999916; x584.up = 8.94427190999916;
x585.lo = -8.94427190999916; x585.up = 8.94427190999916;
x586.lo = -8.94427190999916; x586.up = 8.94427190999916;
x587.lo = -8.94427190999916; x587.up = 8.94427190999916;
x588.lo = -8.94427190999916; x588.up = 8.94427190999916;
x589.lo = -8.94427190999916; x589.up = 8.94427190999916;
x590.lo = -8.94427190999916; x590.up = 8.94427190999916;
x591.lo = -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 = -8.94427190999916; x627.up = 8.94427190999916;
x628.lo = -8.94427190999916; x628.up = 8.94427190999916;
x629.lo = -8.94427190999916; x629.up = 8.94427190999916;
x630.lo = -8.94427190999916; x630.up = 8.94427190999916;
x631.lo = -8.94427190999916; x631.up = 8.94427190999916;
x632.lo = -8.94427190999916; x632.up = 8.94427190999916;
x633.lo = -8.94427190999916; x633.up = 8.94427190999916;
x634.lo = -8.94427190999916; x634.up = 8.94427190999916;
x635.lo = -8.94427190999916; x635.up = 8.94427190999916;
x636.lo = -8.94427190999916; x636.up = 8.94427190999916;
x637.lo = -8.94427190999916; x637.up = 8.94427190999916;
x638.lo = -8.94427190999916; x638.up = 8.94427190999916;
x639.lo = -8.94427190999916; x639.up = 8.94427190999916;
x640.lo = -8.94427190999916; x640.up = 8.94427190999916;
x641.lo = -8.94427190999916; x641.up = 8.94427190999916;
x642.lo = -8.94427190999916; x642.up = 8.94427190999916;
x643.lo = -8.94427190999916; x643.up = 8.94427190999916;
x644.lo = -8.94427190999916; x644.up = 8.94427190999916;
x645.lo = -8.94427190999916; x645.up = 8.94427190999916;
x646.lo = -8.94427190999916; x646.up = 8.94427190999916;
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 = -8.94427190999916; x717.up = 8.94427190999916;
x718.lo = -8.94427190999916; x718.up = 8.94427190999916;
x719.lo = -8.94427190999916; x719.up = 8.94427190999916;
x720.lo = -8.94427190999916; x720.up = 8.94427190999916;
x721.lo = -8.94427190999916; x721.up = 8.94427190999916;
x722.lo = -8.94427190999916; x722.up = 8.94427190999916;
x723.lo = -8.94427190999916; x723.up = 8.94427190999916;
x724.lo = -8.94427190999916; x724.up = 8.94427190999916;
x725.lo = -8.94427190999916; x725.up = 8.94427190999916;
x726.lo = -8.94427190999916; x726.up = 8.94427190999916;
x727.lo = -8.94427190999916; x727.up = 8.94427190999916;
x728.lo = -8.94427190999916; x728.up = 8.94427190999916;
x729.lo = -8.94427190999916; x729.up = 8.94427190999916;
x730.lo = -8.94427190999916; x730.up = 8.94427190999916;
x731.lo = -8.94427190999916; x731.up = 8.94427190999916;
x732.lo = -8.94427190999916; x732.up = 8.94427190999916;
x733.lo = -8.94427190999916; x733.up = 8.94427190999916;
x734.lo = -8.94427190999916; x734.up = 8.94427190999916;
x735.lo = -8.94427190999916; x735.up = 8.94427190999916;
x736.lo = -8.94427190999916; x736.up = 8.94427190999916;
x737.lo = -8.94427190999916; x737.up = 8.94427190999916;
x738.lo = -8.94427190999916; x738.up = 8.94427190999916;
x739.lo = -8.94427190999916; x739.up = 8.94427190999916;
x740.lo = -8.94427190999916; x740.up = 8.94427190999916;
x741.lo = -8.94427190999916; x741.up = 8.94427190999916;
x742.lo = -8.94427190999916; x742.up = 8.94427190999916;
x743.lo = -8.94427190999916; x743.up = 8.94427190999916;
x744.lo = -8.94427190999916; x744.up = 8.94427190999916;
x745.lo = -8.94427190999916; x745.up = 8.94427190999916;
x746.lo = -8.94427190999916; x746.up = 8.94427190999916;
x747.lo = -8.94427190999916; x747.up = 8.94427190999916;
x748.lo = -8.94427190999916; x748.up = 8.94427190999916;
x749.lo = -8.94427190999916; x749.up = 8.94427190999916;
x750.lo = -8.94427190999916; x750.up = 8.94427190999916;
x751.lo = -8.94427190999916; x751.up = 8.94427190999916;
x752.lo = -8.94427190999916; x752.up = 8.94427190999916;
x753.lo = -8.94427190999916; x753.up = 8.94427190999916;
x754.lo = -8.94427190999916; x754.up = 8.94427190999916;
x755.lo = -8.94427190999916; x755.up = 8.94427190999916;
x756.lo = -8.94427190999916; x756.up = 8.94427190999916;
x757.lo = -8.94427190999916; x757.up = 8.94427190999916;
x758.lo = -8.94427190999916; x758.up = 8.94427190999916;
x759.lo = -8.94427190999916; x759.up = 8.94427190999916;
x760.lo = -8.94427190999916; x760.up = 8.94427190999916;
x761.lo = -8.94427190999916; x761.up = 8.94427190999916;
x762.lo = -8.94427190999916; x762.up = 8.94427190999916;
x763.lo = -8.94427190999916; x763.up = 8.94427190999916;
x764.lo = -8.94427190999916; x764.up = 8.94427190999916;
x765.lo = -8.94427190999916; x765.up = 8.94427190999916;
x766.lo = -8.94427190999916; x766.up = 8.94427190999916;
x767.lo = -8.94427190999916; x767.up = 8.94427190999916;
x768.lo = -8.94427190999916; x768.up = 8.94427190999916;
x769.lo = -8.94427190999916; x769.up = 8.94427190999916;
x770.lo = -8.94427190999916; x770.up = 8.94427190999916;
x771.lo = -8.94427190999916; x771.up = 8.94427190999916;
x772.lo = -8.94427190999916; x772.up = 8.94427190999916;
x773.lo = -8.94427190999916; x773.up = 8.94427190999916;
x774.lo = -8.94427190999916; x774.up = 8.94427190999916;
x775.lo = -8.94427190999916; x775.up = 8.94427190999916;
x776.lo = -8.94427190999916; x776.up = 8.94427190999916;
x777.lo = -8.94427190999916; x777.up = 8.94427190999916;
x778.lo = -8.94427190999916; x778.up = 8.94427190999916;
x779.lo = -8.94427190999916; x779.up = 8.94427190999916;
x780.lo = -8.94427190999916; x780.up = 8.94427190999916;
x781.lo = -8.94427190999916; x781.up = 8.94427190999916;
x782.lo = -8.94427190999916; x782.up = 8.94427190999916;
x783.lo = -8.94427190999916; x783.up = 8.94427190999916;
x784.lo = -8.94427190999916; x784.up = 8.94427190999916;
x785.lo = -8.94427190999916; x785.up = 8.94427190999916;
x786.lo = -8.94427190999916; x786.up = 8.94427190999916;
x787.lo = -8.94427190999916; x787.up = 8.94427190999916;
x788.lo = -8.94427190999916; x788.up = 8.94427190999916;
x789.lo = -8.94427190999916; x789.up = 8.94427190999916;
x790.lo = -8.94427190999916; x790.up = 8.94427190999916;
x791.lo = -8.94427190999916; x791.up = 8.94427190999916;
x792.lo = -8.94427190999916; x792.up = 8.94427190999916;
x793.lo = -8.94427190999916; x793.up = 8.94427190999916;
x794.lo = -8.94427190999916; x794.up = 8.94427190999916;
x795.lo = -8.94427190999916; x795.up = 8.94427190999916;
x796.lo = -8.94427190999916; x796.up = 8.94427190999916;
x797.lo = -8.94427190999916; x797.up = 8.94427190999916;
x798.lo = -8.94427190999916; x798.up = 8.94427190999916;
x799.lo = -8.94427190999916; x799.up = 8.94427190999916;
x800.lo = -8.94427190999916; x800.up = 8.94427190999916;
x801.lo = -8.94427190999916; x801.up = 8.94427190999916;
x802.lo = -8.94427190999916; x802.up = 8.94427190999916;
x803.lo = -8.94427190999916; x803.up = 8.94427190999916;
x804.lo = -8.94427190999916; x804.up = 8.94427190999916;
x805.lo = -8.94427190999916; x805.up = 8.94427190999916;
x806.lo = -8.94427190999916; x806.up = 8.94427190999916;
x807.lo = -8.94427190999916; x807.up = 8.94427190999916;
x808.lo = -8.94427190999916; x808.up = 8.94427190999916;
x809.lo = -8.94427190999916; x809.up = 8.94427190999916;
x810.lo = -8.94427190999916; x810.up = 8.94427190999916;
x811.lo = -8.94427190999916; x811.up = 8.94427190999916;
x812.lo = -8.94427190999916; x812.up = 8.94427190999916;
x813.lo = -8.94427190999916; x813.up = 8.94427190999916;
x814.lo = -8.94427190999916; x814.up = 8.94427190999916;
x815.lo = -8.94427190999916; x815.up = 8.94427190999916;
x816.lo = -8.94427190999916; x816.up = 8.94427190999916;
x817.lo = -8.94427190999916; x817.up = 8.94427190999916;
x818.lo = -8.94427190999916; x818.up = 8.94427190999916;
x819.lo = -8.94427190999916; x819.up = 8.94427190999916;
x820.lo = -8.94427190999916; x820.up = 8.94427190999916;
x821.lo = -8.94427190999916; x821.up = 8.94427190999916;
x822.lo = -8.94427190999916; x822.up = 8.94427190999916;
x823.lo = -8.94427190999916; x823.up = 8.94427190999916;
x824.up = 8;
x825.up = 4;
x826.up = 8;
x827.up = 4;
x828.up = 8;
x829.up = 4;
x830.up = 8;
x831.up = 4;
x832.up = 8;
x833.up = 4;
x834.up = 8;
x835.up = 4;
x836.up = 8.94427190999916;
x837.up = 8.94427190999916;
x838.up = 8.94427190999916;
x839.up = 8.94427190999916;
x840.up = 8.94427190999916;
x841.up = 8.94427190999916;
x842.up = 8.94427190999916;
x843.up = 8.94427190999916;
x844.up = 8.94427190999916;
x845.up = 8.94427190999916;
x846.up = 8.94427190999916;
x847.up = 8.94427190999916;
x848.up = 8.94427190999916;
x849.up = 8.94427190999916;
x850.up = 8.94427190999916;
x851.up = 8.94427190999916;
x852.up = 8.94427190999916;
x853.up = 8.94427190999916;
x854.up = 8.94427190999916;
x855.up = 8.94427190999916;
x856.up = 8.94427190999916;
x857.up = 8.94427190999916;
x858.up = 8.94427190999916;
x859.up = 8.94427190999916;
x860.up = 8.94427190999916;
x861.up = 8.94427190999916;
x862.up = 8.94427190999916;
x863.up = 8.94427190999916;
x864.up = 8.94427190999916;
x865.up = 8.94427190999916;
x866.up = 8.94427190999916;
x867.up = 8.94427190999916;
x868.up = 8.94427190999916;
x869.up = 8.94427190999916;
x870.up = 8.94427190999916;
x871.up = 8.94427190999916;
x872.lo = -8.94427190999916; x872.up = 8.94427190999916;
x873.lo = -8.94427190999916; x873.up = 8.94427190999916;
x874.lo = -8.94427190999916; x874.up = 8.94427190999916;
x875.lo = -8.94427190999916; x875.up = 8.94427190999916;
x876.lo = -8.94427190999916; x876.up = 8.94427190999916;
x877.lo = -8.94427190999916; x877.up = 8.94427190999916;
x878.lo = -8.94427190999916; x878.up = 8.94427190999916;
x879.lo = -8.94427190999916; x879.up = 8.94427190999916;
x880.lo = -8.94427190999916; x880.up = 8.94427190999916;
x881.lo = -8.94427190999916; x881.up = 8.94427190999916;
x882.lo = -8.94427190999916; x882.up = 8.94427190999916;
x883.lo = -8.94427190999916; x883.up = 8.94427190999916;
x884.lo = -8.94427190999916; x884.up = 8.94427190999916;
x885.lo = -8.94427190999916; x885.up = 8.94427190999916;
x886.lo = -8.94427190999916; x886.up = 8.94427190999916;
x887.lo = -8.94427190999916; x887.up = 8.94427190999916;
x888.lo = -8.94427190999916; x888.up = 8.94427190999916;
x889.lo = -8.94427190999916; x889.up = 8.94427190999916;
x890.lo = -8.94427190999916; x890.up = 8.94427190999916;
x891.lo = -8.94427190999916; x891.up = 8.94427190999916;
x892.lo = -8.94427190999916; x892.up = 8.94427190999916;
x893.lo = -8.94427190999916; x893.up = 8.94427190999916;
x894.lo = -8.94427190999916; x894.up = 8.94427190999916;
x895.lo = -8.94427190999916; x895.up = 8.94427190999916;
x896.lo = -8.94427190999916; x896.up = 8.94427190999916;
x897.lo = -8.94427190999916; x897.up = 8.94427190999916;
x898.lo = -8.94427190999916; x898.up = 8.94427190999916;
x899.lo = -8.94427190999916; x899.up = 8.94427190999916;
x900.lo = -8.94427190999916; x900.up = 8.94427190999916;
x901.lo = -8.94427190999916; x901.up = 8.94427190999916;
x902.lo = -8.94427190999916; x902.up = 8.94427190999916;
x903.lo = -8.94427190999916; x903.up = 8.94427190999916;
x904.lo = -8.94427190999916; x904.up = 8.94427190999916;
x905.lo = -8.94427190999916; x905.up = 8.94427190999916;
x906.lo = -8.94427190999916; x906.up = 8.94427190999916;
x907.lo = -8.94427190999916; x907.up = 8.94427190999916;
x908.lo = -8.94427190999916; x908.up = 8.94427190999916;
x909.lo = -8.94427190999916; x909.up = 8.94427190999916;
x910.lo = -8.94427190999916; x910.up = 8.94427190999916;
x911.lo = -8.94427190999916; x911.up = 8.94427190999916;
x912.lo = -8.94427190999916; x912.up = 8.94427190999916;
x913.lo = -8.94427190999916; x913.up = 8.94427190999916;
x914.lo = -1; x914.up = 1;
x915.lo = -1; x915.up = 1;
x916.lo = -1; x916.up = 1;
x917.lo = -1; x917.up = 1;
x918.lo = -1; x918.up = 1;
x919.lo = -1; x919.up = 1;
x920.lo = -1; x920.up = 1;
x921.lo = -1; x921.up = 1;
x922.lo = -1; x922.up = 1;
x923.lo = -1; x923.up = 1;
x924.lo = -1; x924.up = 1;
x925.lo = -1; x925.up = 1;
x926.lo = -1; x926.up = 1;
x927.lo = -1; x927.up = 1;
x928.lo = -1; x928.up = 1;
x929.lo = -1; x929.up = 1;
x930.lo = -1; x930.up = 1;
x931.lo = -1; x931.up = 1;
x932.lo = -1; x932.up = 1;
x933.lo = -1; x933.up = 1;
x934.lo = -1; x934.up = 1;
x935.lo = -1; x935.up = 1;
x936.lo = -1; x936.up = 1;
x937.lo = -1; x937.up = 1;
x938.lo = -8.94427190999916; x938.up = 8.94427190999916;
x939.lo = -8.94427190999916; x939.up = 8.94427190999916;
x940.lo = -8.94427190999916; x940.up = 8.94427190999916;
x941.lo = -8.94427190999916; x941.up = 8.94427190999916;
x942.lo = -8.94427190999916; x942.up = 8.94427190999916;
x943.lo = -8.94427190999916; x943.up = 8.94427190999916;
x944.lo = -8.94427190999916; x944.up = 8.94427190999916;
x945.lo = -8.94427190999916; x945.up = 8.94427190999916;
x946.lo = -8.94427190999916; x946.up = 8.94427190999916;
x947.lo = -8.94427190999916; x947.up = 8.94427190999916;
x948.lo = -8.94427190999916; x948.up = 8.94427190999916;
x949.lo = -8.94427190999916; x949.up = 8.94427190999916;
x950.lo = -8.94427190999916; x950.up = 8.94427190999916;
x951.lo = -8.94427190999916; x951.up = 8.94427190999916;
x952.lo = -8.94427190999916; x952.up = 8.94427190999916;
x953.lo = -8.94427190999916; x953.up = 8.94427190999916;
x954.lo = -8.94427190999916; x954.up = 8.94427190999916;
x955.lo = -8.94427190999916; x955.up = 8.94427190999916;
x956.lo = -8.94427190999916; x956.up = 8.94427190999916;
x957.lo = -8.94427190999916; x957.up = 8.94427190999916;
x958.lo = -8.94427190999916; x958.up = 8.94427190999916;
x959.lo = -8.94427190999916; x959.up = 8.94427190999916;
x960.lo = -8.94427190999916; x960.up = 8.94427190999916;
x961.lo = -8.94427190999916; x961.up = 8.94427190999916;
x962.lo = -8.94427190999916; x962.up = 8.94427190999916;
x963.lo = -8.94427190999916; x963.up = 8.94427190999916;
x964.lo = -8.94427190999916; x964.up = 8.94427190999916;
x965.lo = -8.94427190999916; x965.up = 8.94427190999916;
x966.lo = -8.94427190999916; x966.up = 8.94427190999916;
x967.lo = -8.94427190999916; x967.up = 8.94427190999916;
x968.lo = -8.94427190999916; x968.up = 8.94427190999916;
x969.lo = -8.94427190999916; x969.up = 8.94427190999916;
x970.lo = -8.94427190999916; x970.up = 8.94427190999916;
x971.lo = -8.94427190999916; x971.up = 8.94427190999916;
x972.lo = -8.94427190999916; x972.up = 8.94427190999916;
x973.lo = -8.94427190999916; x973.up = 8.94427190999916;
x974.lo = -8.94427190999916; x974.up = 8.94427190999916;
x975.lo = -8.94427190999916; x975.up = 8.94427190999916;
x976.lo = -8.94427190999916; x976.up = 8.94427190999916;
x977.lo = -8.94427190999916; x977.up = 8.94427190999916;
x978.lo = -8.94427190999916; x978.up = 8.94427190999916;
x979.lo = -8.94427190999916; x979.up = 8.94427190999916;
x980.lo = -8.94427190999916; x980.up = 8.94427190999916;
x981.lo = -8.94427190999916; x981.up = 8.94427190999916;
x982.lo = -8.94427190999916; x982.up = 8.94427190999916;
x983.lo = -8.94427190999916; x983.up = 8.94427190999916;
x984.lo = -8.94427190999916; x984.up = 8.94427190999916;
x985.lo = -8.94427190999916; x985.up = 8.94427190999916;
x986.lo = -8.94427190999916; x986.up = 8.94427190999916;
x987.lo = -8.94427190999916; x987.up = 8.94427190999916;
x988.lo = -8.94427190999916; x988.up = 8.94427190999916;
x989.lo = -8.94427190999916; x989.up = 8.94427190999916;
x990.lo = -8.94427190999916; x990.up = 8.94427190999916;
x991.lo = -8.94427190999916; x991.up = 8.94427190999916;
x992.lo = -8.94427190999916; x992.up = 8.94427190999916;
x993.lo = -8.94427190999916; x993.up = 8.94427190999916;
x994.lo = -8.94427190999916; x994.up = 8.94427190999916;
x995.lo = -8.94427190999916; x995.up = 8.94427190999916;
x996.lo = -8.94427190999916; x996.up = 8.94427190999916;
x997.lo = -8.94427190999916; x997.up = 8.94427190999916;
x998.lo = -8.94427190999916; x998.up = 8.94427190999916;
x999.lo = -8.94427190999916; x999.up = 8.94427190999916;
x1000.lo = -8.94427190999916; x1000.up = 8.94427190999916;
x1001.lo = -8.94427190999916; x1001.up = 8.94427190999916;
x1002.lo = -8.94427190999916; x1002.up = 8.94427190999916;
x1003.lo = -8.94427190999916; x1003.up = 8.94427190999916;
x1004.lo = -8.94427190999916; x1004.up = 8.94427190999916;
x1005.lo = -8.94427190999916; x1005.up = 8.94427190999916;
x1006.lo = -8.94427190999916; x1006.up = 8.94427190999916;
x1007.lo = -8.94427190999916; x1007.up = 8.94427190999916;
x1008.lo = -8.94427190999916; x1008.up = 8.94427190999916;
x1009.lo = -8.94427190999916; x1009.up = 8.94427190999916;
x1010.lo = -8.94427190999916; x1010.up = 8.94427190999916;
x1011.lo = -8.94427190999916; x1011.up = 8.94427190999916;
x1012.lo = -8.94427190999916; x1012.up = 8.94427190999916;
x1013.lo = -8.94427190999916; x1013.up = 8.94427190999916;
x1014.lo = -8.94427190999916; x1014.up = 8.94427190999916;
x1015.lo = -8.94427190999916; x1015.up = 8.94427190999916;
x1016.lo = -8.94427190999916; x1016.up = 8.94427190999916;
x1017.lo = -8.94427190999916; x1017.up = 8.94427190999916;
x1018.lo = -8.94427190999916; x1018.up = 8.94427190999916;
x1019.lo = -8.94427190999916; x1019.up = 8.94427190999916;
x1020.lo = -8.94427190999916; x1020.up = 8.94427190999916;
x1021.lo = -8.94427190999916; x1021.up = 8.94427190999916;
x1022.lo = 1.2; x1022.up = 6.8;
x1023.lo = 1.2; x1023.up = 2.8;
x1024.up = 8;
x1025.up = 4;
x1026.up = 8;
x1027.up = 4;
x1028.up = 8;
x1029.up = 4;
x1030.up = 8;
x1031.up = 4;
x1032.up = 8;
x1033.up = 4;
x1034.up = 8;
x1035.up = 4;
x1036.up = 8;
x1037.up = 4;
x1038.up = 8;
x1039.up = 4;
x1040.up = 8;
x1041.up = 4;
x1042.up = 8;
x1043.up = 4;
x1044.up = 8;
x1045.up = 4;
x1046.up = 8;
x1047.up = 4;
x1048.up = 8;
x1049.up = 4;
x1050.up = 8;
x1051.up = 4;
x1052.up = 8;
x1053.up = 4;
x1054.up = 8;
x1055.up = 4;
x1056.up = 8;
x1057.up = 4;
x1058.up = 8;
x1059.up = 4;
x1060.up = 8;
x1061.up = 4;
x1062.up = 8;
x1063.up = 4;
x1064.up = 8;
x1065.up = 4;
x1066.up = 8;
x1067.up = 4;
x1068.up = 8;
x1069.up = 4;
x1070.up = 8;
x1071.up = 4;
x1072.up = 8;
x1073.up = 4;
x1074.up = 8;
x1075.up = 4;
x1076.up = 8;
x1077.up = 4;
x1078.up = 8;
x1079.up = 4;
x1080.up = 8;
x1081.up = 4;
x1082.up = 8;
x1083.up = 4;
x1084.up = 8;
x1085.up = 4;
x1086.up = 8;
x1087.up = 4;
x1088.up = 8;
x1089.up = 4;
x1090.up = 8;
x1091.up = 4;
x1092.up = 8;
x1093.up = 4;
x1094.up = 8;
x1095.up = 4;
x1096.up = 8;
x1097.up = 4;
x1098.up = 8;
x1099.up = 4;
x1100.up = 8;
x1101.up = 4;
x1102.up = 8;
x1103.up = 4;
x1104.up = 8;
x1105.up = 4;
x1106.up = 8;
x1107.up = 4;
x1108.up = 8;
x1109.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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