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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance p_ball_30b_5p_3d_h

Select 5-points in 3-dimensional balls, such that the l1-distance between all points is minimized.
Only one point can be assigned to each ball, and in total there are 30 balls with radius one.
This is a convex-hull formulation.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
8.21829037 p1 ( gdx sol )
(infeas: 1e-11)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ALPHAECP)
8.21829036 (ANTIGONE)
8.21826869 (BARON)
7.29406289 (BONMIN)
8.21826863 (COUENNE)
0.00000000 (LINDO)
8.21828789 (SCIP)
0.00000000 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_30b_5p_3d_H.gms with the epsilon in the perspective formulation changed to 1e-4, contributed by Jan Kronqvist and Ruth Misener
Application Geometry
Added to library 26 Aug 2020
Problem type MBNLP
#Variables 645
#Binary Variables 150
#Integer Variables 0
#Nonlinear Variables 600
#Nonlinear Binary Variables 150
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 30
#Nonlinear Nonzeros in Objective 0
#Constraints 714
#Linear Constraints 564
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 150
Operands in Gen. Nonlin. Functions div mul sqr
Constraints curvature convex
#Nonzeros in Jacobian 2453
#Nonlinear Nonzeros in Jacobian 600
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1500
#Nonzeros in Diagonal of Hessian of Lagrangian 600
#Blocks in Hessian of Lagrangian 150
Minimal blocksize in Hessian of Lagrangian 4
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 4.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-04
Maximal coefficient 1.0000e+01
Infeasibility of initial point 1
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
*        715       21        0      694        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        646      496      150        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2484     1884      600        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,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,objvar;

Positive Variables  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;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150;

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;


e1..    x151 - x152 - x153 =L= 0;

e2..  - x151 + x152 - x153 =L= 0;

e3..    x154 - x155 - x156 =L= 0;

e4..  - x154 + x155 - x156 =L= 0;

e5..    x157 - x158 - x159 =L= 0;

e6..  - x157 + x158 - x159 =L= 0;

e7..    x151 - x160 - x161 =L= 0;

e8..  - x151 + x160 - x161 =L= 0;

e9..    x154 - x162 - x163 =L= 0;

e10..  - x154 + x162 - x163 =L= 0;

e11..    x157 - x164 - x165 =L= 0;

e12..  - x157 + x164 - x165 =L= 0;

e13..    x151 - x166 - x167 =L= 0;

e14..  - x151 + x166 - x167 =L= 0;

e15..    x154 - x168 - x169 =L= 0;

e16..  - x154 + x168 - x169 =L= 0;

e17..    x157 - x170 - x171 =L= 0;

e18..  - x157 + x170 - x171 =L= 0;

e19..    x151 - x172 - x173 =L= 0;

e20..  - x151 + x172 - x173 =L= 0;

e21..    x154 - x174 - x175 =L= 0;

e22..  - x154 + x174 - x175 =L= 0;

e23..    x157 - x176 - x177 =L= 0;

e24..  - x157 + x176 - x177 =L= 0;

e25..    x152 - x160 - x178 =L= 0;

e26..  - x152 + x160 - x178 =L= 0;

e27..    x155 - x162 - x179 =L= 0;

e28..  - x155 + x162 - x179 =L= 0;

e29..    x158 - x164 - x180 =L= 0;

e30..  - x158 + x164 - x180 =L= 0;

e31..    x152 - x166 - x181 =L= 0;

e32..  - x152 + x166 - x181 =L= 0;

e33..    x155 - x168 - x182 =L= 0;

e34..  - x155 + x168 - x182 =L= 0;

e35..    x158 - x170 - x183 =L= 0;

e36..  - x158 + x170 - x183 =L= 0;

e37..    x152 - x172 - x184 =L= 0;

e38..  - x152 + x172 - x184 =L= 0;

e39..    x155 - x174 - x185 =L= 0;

e40..  - x155 + x174 - x185 =L= 0;

e41..    x158 - x176 - x186 =L= 0;

e42..  - x158 + x176 - x186 =L= 0;

e43..    x160 - x166 - x187 =L= 0;

e44..  - x160 + x166 - x187 =L= 0;

e45..    x162 - x168 - x188 =L= 0;

e46..  - x162 + x168 - x188 =L= 0;

e47..    x164 - x170 - x189 =L= 0;

e48..  - x164 + x170 - x189 =L= 0;

e49..    x160 - x172 - x190 =L= 0;

e50..  - x160 + x172 - x190 =L= 0;

e51..    x162 - x174 - x191 =L= 0;

e52..  - x162 + x174 - x191 =L= 0;

e53..    x164 - x176 - x192 =L= 0;

e54..  - x164 + x176 - x192 =L= 0;

e55..    x166 - x172 - x193 =L= 0;

e56..  - x166 + x172 - x193 =L= 0;

e57..    x168 - x174 - x194 =L= 0;

e58..  - x168 + x174 - x194 =L= 0;

e59..    x170 - x176 - x195 =L= 0;

e60..  - x170 + x176 - x195 =L= 0;

e61.. (-1 + sqr(4.83202054247519 - x196/(0.0001 + 0.9999*b1)) + sqr(
      5.08041476544912 - x197/(0.0001 + 0.9999*b1)) + sqr(6.32621379041806 - 
      x198/(0.0001 + 0.9999*b1)))*(0.0001 + 0.9999*b1) + 0.00881800176339713*b1
       =L= 0.00881800176339713;

e62.. (-1 + sqr(6.86422157586402 - x199/(0.0001 + 0.9999*b2)) + sqr(
      7.66428209799864 - x200/(0.0001 + 0.9999*b2)) + sqr(0.09709175573132 - 
      x201/(0.0001 + 0.9999*b2)))*(0.0001 + 0.9999*b2) + 0.0104868184729291*b2
       =L= 0.0104868184729291;

e63.. (-1 + sqr(4.84862000711289 - x202/(0.0001 + 0.9999*b3)) + sqr(
      3.45257195120785 - x203/(0.0001 + 0.9999*b3)) + sqr(7.39094773970617 - 
      x204/(0.0001 + 0.9999*b3)))*(0.0001 + 0.9999*b3) + 0.00890554775427104*b3
       =L= 0.00890554775427104;

e64.. (-1 + sqr(1.90653576175828 - x205/(0.0001 + 0.9999*b4)) + sqr(
      9.06815267710453 - x206/(0.0001 + 0.9999*b4)) + sqr(0.329270310437709 - 
      x207/(0.0001 + 0.9999*b4)))*(0.0001 + 0.9999*b4) + 0.0084974690523477*b4
       =L= 0.0084974690523477;

e65.. (-1 + sqr(8.91873287322862 - x208/(0.0001 + 0.9999*b5)) + sqr(
      3.005493222209 - x209/(0.0001 + 0.9999*b5)) + sqr(6.72603314933737 - x210
      /(0.0001 + 0.9999*b5)))*(0.0001 + 0.9999*b5) + 0.0132816307498738*b5
       =L= 0.0132816307498738;

e66.. (-1 + sqr(2.79219011695411 - x211/(0.0001 + 0.9999*b6)) + sqr(
      0.0802363505466042 - x212/(0.0001 + 0.9999*b6)) + sqr(5.8239689013093 - 
      x213/(0.0001 + 0.9999*b6)))*(0.0001 + 0.9999*b6) + 0.00407213772845831*b6
       =L= 0.00407213772845831;

e67.. (-1 + sqr(8.45192604487847 - x214/(0.0001 + 0.9999*b7)) + sqr(
      0.960982267180915 - x215/(0.0001 + 0.9999*b7)) + sqr(7.08846749273086 - 
      x216/(0.0001 + 0.9999*b7)))*(0.0001 + 0.9999*b7) + 0.0121604912181433*b7
       =L= 0.0121604912181433;

e68.. (-1 + sqr(9.76694746975659 - x217/(0.0001 + 0.9999*b8)) + sqr(
      1.64767982343444 - x218/(0.0001 + 0.9999*b8)) + sqr(3.89461195866276 - 
      x219/(0.0001 + 0.9999*b8)))*(0.0001 + 0.9999*b8) + 0.0112276113986097*b8
       =L= 0.0112276113986097;

e69.. (-1 + sqr(3.92650027388399 - x220/(0.0001 + 0.9999*b9)) + sqr(
      8.57900429288824 - x221/(0.0001 + 0.9999*b9)) + sqr(9.23525817101371 - 
      x222/(0.0001 + 0.9999*b9)))*(0.0001 + 0.9999*b9) + 0.0173306712543481*b9
       =L= 0.0173306712543481;

e70.. (-1 + sqr(0.679990404106158 - x223/(0.0001 + 0.9999*b10)) + sqr(
      7.93354548453717 - x224/(0.0001 + 0.9999*b10)) + sqr(6.24827514848977 - 
      x225/(0.0001 + 0.9999*b10)))*(0.0001 + 0.9999*b10) + 0.0101444473236131*
      b10 =L= 0.0101444473236131;

e71.. (-1 + sqr(3.80282662917579 - x226/(0.0001 + 0.9999*b11)) + sqr(
      5.00336142496769 - x227/(0.0001 + 0.9999*b11)) + sqr(6.01003348085459 - 
      x228/(0.0001 + 0.9999*b11)))*(0.0001 + 0.9999*b11) + 0.00746156183614164*
      b11 =L= 0.00746156183614164;

e72.. (-1 + sqr(6.54293331034743 - x229/(0.0001 + 0.9999*b12)) + sqr(
      1.49363772657694 - x230/(0.0001 + 0.9999*b12)) + sqr(3.58497465463316 - 
      x231/(0.0001 + 0.9999*b12)))*(0.0001 + 0.9999*b12) + 0.00568929732362701*
      b12 =L= 0.00568929732362701;

e73.. (-1 + sqr(5.20241765093859 - x232/(0.0001 + 0.9999*b13)) + sqr(
      5.86977990966318 - x233/(0.0001 + 0.9999*b13)) + sqr(6.440337805336 - 
      x234/(0.0001 + 0.9999*b13)))*(0.0001 + 0.9999*b13) + 0.0101997416649523*
      b13 =L= 0.0101997416649523;

e74.. (-1 + sqr(5.87470028021075 - x235/(0.0001 + 0.9999*b14)) + sqr(
      2.67028689434427 - x236/(0.0001 + 0.9999*b14)) + sqr(0.749156996429077 - 
      x237/(0.0001 + 0.9999*b14)))*(0.0001 + 0.9999*b14) + 0.00412037716857136*
      b14 =L= 0.00412037716857136;

e75.. (-1 + sqr(2.89776733906328 - x238/(0.0001 + 0.9999*b15)) + sqr(
      5.22108290497701 - x239/(0.0001 + 0.9999*b15)) + sqr(7.57016691626461 - 
      x240/(0.0001 + 0.9999*b15)))*(0.0001 + 0.9999*b15) + 0.00919641893920924*
      b15 =L= 0.00919641893920924;

e76.. (-1 + sqr(3.25002624472116 - x241/(0.0001 + 0.9999*b16)) + sqr(
      6.977422017743 - x242/(0.0001 + 0.9999*b16)) + sqr(0.695695115140367 - 
      x243/(0.0001 + 0.9999*b16)))*(0.0001 + 0.9999*b16) + 0.00587310802982913*
      b16 =L= 0.00587310802982913;

e77.. (-1 + sqr(8.47049713128073 - x244/(0.0001 + 0.9999*b17)) + sqr(
      4.20582102463618 - x245/(0.0001 + 0.9999*b17)) + sqr(4.93941262529365 - 
      x246/(0.0001 + 0.9999*b17)))*(0.0001 + 0.9999*b17) + 0.0112836049225217*
      b17 =L= 0.0112836049225217;

e78.. (-1 + sqr(0.786615440794736 - x247/(0.0001 + 0.9999*b18)) + sqr(
      1.54813106254315 - x248/(0.0001 + 0.9999*b18)) + sqr(2.98963379540322 - 
      x249/(0.0001 + 0.9999*b18)))*(0.0001 + 0.9999*b18) + 0.00109533838691247*
      b18 =L= 0.00109533838691247;

e79.. (-1 + sqr(5.17568572881879 - x250/(0.0001 + 0.9999*b19)) + sqr(
      2.02627806544288 - x251/(0.0001 + 0.9999*b19)) + sqr(9.2740633418688 - 
      x252/(0.0001 + 0.9999*b19)))*(0.0001 + 0.9999*b19) + 0.0115901776430988*
      b19 =L= 0.0115901776430988;

e80.. (-1 + sqr(9.11874181180651 - x253/(0.0001 + 0.9999*b20)) + sqr(
      9.07966816070985 - x254/(0.0001 + 0.9999*b20)) + sqr(1.64995049320116 - 
      x255/(0.0001 + 0.9999*b20)))*(0.0001 + 0.9999*b20) + 0.0167314162769011*
      b20 =L= 0.0167314162769011;

e81.. (-1 + sqr(8.26392769674786 - x256/(0.0001 + 0.9999*b21)) + sqr(
      4.29716878332203 - x257/(0.0001 + 0.9999*b21)) + sqr(3.06511979366618 - 
      x258/(0.0001 + 0.9999*b21)))*(0.0001 + 0.9999*b21) + 0.0095153119878958*
      b21 =L= 0.0095153119878958;

e82.. (-1 + sqr(2.95522257480442 - x259/(0.0001 + 0.9999*b22)) + sqr(
      1.29725120442498 - x260/(0.0001 + 0.9999*b22)) + sqr(0.799527585103169 - 
      x261/(0.0001 + 0.9999*b22)))*(0.0001 + 0.9999*b22) + 0.00100554455133566*
      b22 =L= 0.00100554455133566;

e83.. (-1 + sqr(5.59281220526297 - x262/(0.0001 + 0.9999*b23)) + sqr(
      5.08387949672858 - x263/(0.0001 + 0.9999*b23)) + sqr(0.547463810150197 - 
      x264/(0.0001 + 0.9999*b23)))*(0.0001 + 0.9999*b23) + 0.00564250957240199*
      b23 =L= 0.00564250957240199;

e84.. (-1 + sqr(5.5713321706538 - x265/(0.0001 + 0.9999*b24)) + sqr(
      3.89813512317444 - x266/(0.0001 + 0.9999*b24)) + sqr(0.378899938163517 - 
      x267/(0.0001 + 0.9999*b24)))*(0.0001 + 0.9999*b24) + 0.00453787647574285*
      b24 =L= 0.00453787647574285;

e85.. (-1 + sqr(1.47483805835463 - x268/(0.0001 + 0.9999*b25)) + sqr(
      0.989752492299246 - x269/(0.0001 + 0.9999*b25)) + sqr(5.36717263813865 - 
      x270/(0.0001 + 0.9999*b25)))*(0.0001 + 0.9999*b25) + 0.0030961299421968*
      b25 =L= 0.0030961299421968;

e86.. (-1 + sqr(4.61507078501251 - x271/(0.0001 + 0.9999*b26)) + sqr(
      0.234707301612243 - x272/(0.0001 + 0.9999*b26)) + sqr(3.97342857514894 - 
      x273/(0.0001 + 0.9999*b26)))*(0.0001 + 0.9999*b26) + 0.00361421005099162*
      b26 =L= 0.00361421005099162;

e87.. (-1 + sqr(9.15405801517484 - x274/(0.0001 + 0.9999*b27)) + sqr(
      4.26169733166395 - x275/(0.0001 + 0.9999*b27)) + sqr(4.89911772871142 - 
      x276/(0.0001 + 0.9999*b27)))*(0.0001 + 0.9999*b27) + 0.0124960196811673*
      b27 =L= 0.0124960196811673;

e88.. (-1 + sqr(6.23408727244271 - x277/(0.0001 + 0.9999*b28)) + sqr(
      0.755925845511098 - x278/(0.0001 + 0.9999*b28)) + sqr(5.40595672236618 - 
      x279/(0.0001 + 0.9999*b28)))*(0.0001 + 0.9999*b28) + 0.00676596360884399*
      b28 =L= 0.00676596360884399;

e89.. (-1 + sqr(5.16744991507397 - x280/(0.0001 + 0.9999*b29)) + sqr(
      5.25535097293888 - x281/(0.0001 + 0.9999*b29)) + sqr(3.81062986996748 - 
      x282/(0.0001 + 0.9999*b29)))*(0.0001 + 0.9999*b29) + 0.0067842152479456*
      b29 =L= 0.0067842152479456;

e90.. (-1 + sqr(7.23609076996082 - x283/(0.0001 + 0.9999*b30)) + sqr(
      3.30048962157922 - x284/(0.0001 + 0.9999*b30)) + sqr(8.05002431260521 - 
      x285/(0.0001 + 0.9999*b30)))*(0.0001 + 0.9999*b30) + 0.0127057132806799*
      b30 =L= 0.0127057132806799;

e91..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13
       + b14 + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25
       + b26 + b27 + b28 + b29 + b30 =E= 1;

e92.. (-1 + sqr(4.83202054247519 - x286/(0.0001 + 0.9999*b31)) + sqr(
      5.08041476544912 - x287/(0.0001 + 0.9999*b31)) + sqr(6.32621379041806 - 
      x288/(0.0001 + 0.9999*b31)))*(0.0001 + 0.9999*b31) + 0.00881800176339713*
      b31 =L= 0.00881800176339713;

e93.. (-1 + sqr(6.86422157586402 - x289/(0.0001 + 0.9999*b32)) + sqr(
      7.66428209799864 - x290/(0.0001 + 0.9999*b32)) + sqr(0.09709175573132 - 
      x291/(0.0001 + 0.9999*b32)))*(0.0001 + 0.9999*b32) + 0.0104868184729291*
      b32 =L= 0.0104868184729291;

e94.. (-1 + sqr(4.84862000711289 - x292/(0.0001 + 0.9999*b33)) + sqr(
      3.45257195120785 - x293/(0.0001 + 0.9999*b33)) + sqr(7.39094773970617 - 
      x294/(0.0001 + 0.9999*b33)))*(0.0001 + 0.9999*b33) + 0.00890554775427104*
      b33 =L= 0.00890554775427104;

e95.. (-1 + sqr(1.90653576175828 - x295/(0.0001 + 0.9999*b34)) + sqr(
      9.06815267710453 - x296/(0.0001 + 0.9999*b34)) + sqr(0.329270310437709 - 
      x297/(0.0001 + 0.9999*b34)))*(0.0001 + 0.9999*b34) + 0.0084974690523477*
      b34 =L= 0.0084974690523477;

e96.. (-1 + sqr(8.91873287322862 - x298/(0.0001 + 0.9999*b35)) + sqr(
      3.005493222209 - x299/(0.0001 + 0.9999*b35)) + sqr(6.72603314933737 - 
      x300/(0.0001 + 0.9999*b35)))*(0.0001 + 0.9999*b35) + 0.0132816307498738*
      b35 =L= 0.0132816307498738;

e97.. (-1 + sqr(2.79219011695411 - x301/(0.0001 + 0.9999*b36)) + sqr(
      0.0802363505466042 - x302/(0.0001 + 0.9999*b36)) + sqr(5.8239689013093 - 
      x303/(0.0001 + 0.9999*b36)))*(0.0001 + 0.9999*b36) + 0.00407213772845831*
      b36 =L= 0.00407213772845831;

e98.. (-1 + sqr(8.45192604487847 - x304/(0.0001 + 0.9999*b37)) + sqr(
      0.960982267180915 - x305/(0.0001 + 0.9999*b37)) + sqr(7.08846749273086 - 
      x306/(0.0001 + 0.9999*b37)))*(0.0001 + 0.9999*b37) + 0.0121604912181433*
      b37 =L= 0.0121604912181433;

e99.. (-1 + sqr(9.76694746975659 - x307/(0.0001 + 0.9999*b38)) + sqr(
      1.64767982343444 - x308/(0.0001 + 0.9999*b38)) + sqr(3.89461195866276 - 
      x309/(0.0001 + 0.9999*b38)))*(0.0001 + 0.9999*b38) + 0.0112276113986097*
      b38 =L= 0.0112276113986097;

e100.. (-1 + sqr(3.92650027388399 - x310/(0.0001 + 0.9999*b39)) + sqr(
       8.57900429288824 - x311/(0.0001 + 0.9999*b39)) + sqr(9.23525817101371 - 
       x312/(0.0001 + 0.9999*b39)))*(0.0001 + 0.9999*b39) + 0.0173306712543481*
       b39 =L= 0.0173306712543481;

e101.. (-1 + sqr(0.679990404106158 - x313/(0.0001 + 0.9999*b40)) + sqr(
       7.93354548453717 - x314/(0.0001 + 0.9999*b40)) + sqr(6.24827514848977 - 
       x315/(0.0001 + 0.9999*b40)))*(0.0001 + 0.9999*b40) + 0.0101444473236131*
       b40 =L= 0.0101444473236131;

e102.. (-1 + sqr(3.80282662917579 - x316/(0.0001 + 0.9999*b41)) + sqr(
       5.00336142496769 - x317/(0.0001 + 0.9999*b41)) + sqr(6.01003348085459 - 
       x318/(0.0001 + 0.9999*b41)))*(0.0001 + 0.9999*b41) + 0.00746156183614164
       *b41 =L= 0.00746156183614164;

e103.. (-1 + sqr(6.54293331034743 - x319/(0.0001 + 0.9999*b42)) + sqr(
       1.49363772657694 - x320/(0.0001 + 0.9999*b42)) + sqr(3.58497465463316 - 
       x321/(0.0001 + 0.9999*b42)))*(0.0001 + 0.9999*b42) + 0.00568929732362701
       *b42 =L= 0.00568929732362701;

e104.. (-1 + sqr(5.20241765093859 - x322/(0.0001 + 0.9999*b43)) + sqr(
       5.86977990966318 - x323/(0.0001 + 0.9999*b43)) + sqr(6.440337805336 - 
       x324/(0.0001 + 0.9999*b43)))*(0.0001 + 0.9999*b43) + 0.0101997416649523*
       b43 =L= 0.0101997416649523;

e105.. (-1 + sqr(5.87470028021075 - x325/(0.0001 + 0.9999*b44)) + sqr(
       2.67028689434427 - x326/(0.0001 + 0.9999*b44)) + sqr(0.749156996429077
        - x327/(0.0001 + 0.9999*b44)))*(0.0001 + 0.9999*b44) + 
       0.00412037716857136*b44 =L= 0.00412037716857136;

e106.. (-1 + sqr(2.89776733906328 - x328/(0.0001 + 0.9999*b45)) + sqr(
       5.22108290497701 - x329/(0.0001 + 0.9999*b45)) + sqr(7.57016691626461 - 
       x330/(0.0001 + 0.9999*b45)))*(0.0001 + 0.9999*b45) + 0.00919641893920924
       *b45 =L= 0.00919641893920924;

e107.. (-1 + sqr(3.25002624472116 - x331/(0.0001 + 0.9999*b46)) + sqr(
       6.977422017743 - x332/(0.0001 + 0.9999*b46)) + sqr(0.695695115140367 - 
       x333/(0.0001 + 0.9999*b46)))*(0.0001 + 0.9999*b46) + 0.00587310802982913
       *b46 =L= 0.00587310802982913;

e108.. (-1 + sqr(8.47049713128073 - x334/(0.0001 + 0.9999*b47)) + sqr(
       4.20582102463618 - x335/(0.0001 + 0.9999*b47)) + sqr(4.93941262529365 - 
       x336/(0.0001 + 0.9999*b47)))*(0.0001 + 0.9999*b47) + 0.0112836049225217*
       b47 =L= 0.0112836049225217;

e109.. (-1 + sqr(0.786615440794736 - x337/(0.0001 + 0.9999*b48)) + sqr(
       1.54813106254315 - x338/(0.0001 + 0.9999*b48)) + sqr(2.98963379540322 - 
       x339/(0.0001 + 0.9999*b48)))*(0.0001 + 0.9999*b48) + 0.00109533838691247
       *b48 =L= 0.00109533838691247;

e110.. (-1 + sqr(5.17568572881879 - x340/(0.0001 + 0.9999*b49)) + sqr(
       2.02627806544288 - x341/(0.0001 + 0.9999*b49)) + sqr(9.2740633418688 - 
       x342/(0.0001 + 0.9999*b49)))*(0.0001 + 0.9999*b49) + 0.0115901776430988*
       b49 =L= 0.0115901776430988;

e111.. (-1 + sqr(9.11874181180651 - x343/(0.0001 + 0.9999*b50)) + sqr(
       9.07966816070985 - x344/(0.0001 + 0.9999*b50)) + sqr(1.64995049320116 - 
       x345/(0.0001 + 0.9999*b50)))*(0.0001 + 0.9999*b50) + 0.0167314162769011*
       b50 =L= 0.0167314162769011;

e112.. (-1 + sqr(8.26392769674786 - x346/(0.0001 + 0.9999*b51)) + sqr(
       4.29716878332203 - x347/(0.0001 + 0.9999*b51)) + sqr(3.06511979366618 - 
       x348/(0.0001 + 0.9999*b51)))*(0.0001 + 0.9999*b51) + 0.0095153119878958*
       b51 =L= 0.0095153119878958;

e113.. (-1 + sqr(2.95522257480442 - x349/(0.0001 + 0.9999*b52)) + sqr(
       1.29725120442498 - x350/(0.0001 + 0.9999*b52)) + sqr(0.799527585103169
        - x351/(0.0001 + 0.9999*b52)))*(0.0001 + 0.9999*b52) + 
       0.00100554455133566*b52 =L= 0.00100554455133566;

e114.. (-1 + sqr(5.59281220526297 - x352/(0.0001 + 0.9999*b53)) + sqr(
       5.08387949672858 - x353/(0.0001 + 0.9999*b53)) + sqr(0.547463810150197
        - x354/(0.0001 + 0.9999*b53)))*(0.0001 + 0.9999*b53) + 
       0.00564250957240199*b53 =L= 0.00564250957240199;

e115.. (-1 + sqr(5.5713321706538 - x355/(0.0001 + 0.9999*b54)) + sqr(
       3.89813512317444 - x356/(0.0001 + 0.9999*b54)) + sqr(0.378899938163517
        - x357/(0.0001 + 0.9999*b54)))*(0.0001 + 0.9999*b54) + 
       0.00453787647574285*b54 =L= 0.00453787647574285;

e116.. (-1 + sqr(1.47483805835463 - x358/(0.0001 + 0.9999*b55)) + sqr(
       0.989752492299246 - x359/(0.0001 + 0.9999*b55)) + sqr(5.36717263813865
        - x360/(0.0001 + 0.9999*b55)))*(0.0001 + 0.9999*b55) + 
       0.0030961299421968*b55 =L= 0.0030961299421968;

e117.. (-1 + sqr(4.61507078501251 - x361/(0.0001 + 0.9999*b56)) + sqr(
       0.234707301612243 - x362/(0.0001 + 0.9999*b56)) + sqr(3.97342857514894
        - x363/(0.0001 + 0.9999*b56)))*(0.0001 + 0.9999*b56) + 
       0.00361421005099162*b56 =L= 0.00361421005099162;

e118.. (-1 + sqr(9.15405801517484 - x364/(0.0001 + 0.9999*b57)) + sqr(
       4.26169733166395 - x365/(0.0001 + 0.9999*b57)) + sqr(4.89911772871142 - 
       x366/(0.0001 + 0.9999*b57)))*(0.0001 + 0.9999*b57) + 0.0124960196811673*
       b57 =L= 0.0124960196811673;

e119.. (-1 + sqr(6.23408727244271 - x367/(0.0001 + 0.9999*b58)) + sqr(
       0.755925845511098 - x368/(0.0001 + 0.9999*b58)) + sqr(5.40595672236618
        - x369/(0.0001 + 0.9999*b58)))*(0.0001 + 0.9999*b58) + 
       0.00676596360884399*b58 =L= 0.00676596360884399;

e120.. (-1 + sqr(5.16744991507397 - x370/(0.0001 + 0.9999*b59)) + sqr(
       5.25535097293888 - x371/(0.0001 + 0.9999*b59)) + sqr(3.81062986996748 - 
       x372/(0.0001 + 0.9999*b59)))*(0.0001 + 0.9999*b59) + 0.0067842152479456*
       b59 =L= 0.0067842152479456;

e121.. (-1 + sqr(7.23609076996082 - x373/(0.0001 + 0.9999*b60)) + sqr(
       3.30048962157922 - x374/(0.0001 + 0.9999*b60)) + sqr(8.05002431260521 - 
       x375/(0.0001 + 0.9999*b60)))*(0.0001 + 0.9999*b60) + 0.0127057132806799*
       b60 =L= 0.0127057132806799;

e122..    b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 + b42
        + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 + b51 + b52 + b53 + b54
        + b55 + b56 + b57 + b58 + b59 + b60 =E= 1;

e123.. (-1 + sqr(4.83202054247519 - x376/(0.0001 + 0.9999*b61)) + sqr(
       5.08041476544912 - x377/(0.0001 + 0.9999*b61)) + sqr(6.32621379041806 - 
       x378/(0.0001 + 0.9999*b61)))*(0.0001 + 0.9999*b61) + 0.00881800176339713
       *b61 =L= 0.00881800176339713;

e124.. (-1 + sqr(6.86422157586402 - x379/(0.0001 + 0.9999*b62)) + sqr(
       7.66428209799864 - x380/(0.0001 + 0.9999*b62)) + sqr(0.09709175573132 - 
       x381/(0.0001 + 0.9999*b62)))*(0.0001 + 0.9999*b62) + 0.0104868184729291*
       b62 =L= 0.0104868184729291;

e125.. (-1 + sqr(4.84862000711289 - x382/(0.0001 + 0.9999*b63)) + sqr(
       3.45257195120785 - x383/(0.0001 + 0.9999*b63)) + sqr(7.39094773970617 - 
       x384/(0.0001 + 0.9999*b63)))*(0.0001 + 0.9999*b63) + 0.00890554775427104
       *b63 =L= 0.00890554775427104;

e126.. (-1 + sqr(1.90653576175828 - x385/(0.0001 + 0.9999*b64)) + sqr(
       9.06815267710453 - x386/(0.0001 + 0.9999*b64)) + sqr(0.329270310437709
        - x387/(0.0001 + 0.9999*b64)))*(0.0001 + 0.9999*b64) + 
       0.0084974690523477*b64 =L= 0.0084974690523477;

e127.. (-1 + sqr(8.91873287322862 - x388/(0.0001 + 0.9999*b65)) + sqr(
       3.005493222209 - x389/(0.0001 + 0.9999*b65)) + sqr(6.72603314933737 - 
       x390/(0.0001 + 0.9999*b65)))*(0.0001 + 0.9999*b65) + 0.0132816307498738*
       b65 =L= 0.0132816307498738;

e128.. (-1 + sqr(2.79219011695411 - x391/(0.0001 + 0.9999*b66)) + sqr(
       0.0802363505466042 - x392/(0.0001 + 0.9999*b66)) + sqr(5.8239689013093
        - x393/(0.0001 + 0.9999*b66)))*(0.0001 + 0.9999*b66) + 
       0.00407213772845831*b66 =L= 0.00407213772845831;

e129.. (-1 + sqr(8.45192604487847 - x394/(0.0001 + 0.9999*b67)) + sqr(
       0.960982267180915 - x395/(0.0001 + 0.9999*b67)) + sqr(7.08846749273086
        - x396/(0.0001 + 0.9999*b67)))*(0.0001 + 0.9999*b67) + 
       0.0121604912181433*b67 =L= 0.0121604912181433;

e130.. (-1 + sqr(9.76694746975659 - x397/(0.0001 + 0.9999*b68)) + sqr(
       1.64767982343444 - x398/(0.0001 + 0.9999*b68)) + sqr(3.89461195866276 - 
       x399/(0.0001 + 0.9999*b68)))*(0.0001 + 0.9999*b68) + 0.0112276113986097*
       b68 =L= 0.0112276113986097;

e131.. (-1 + sqr(3.92650027388399 - x400/(0.0001 + 0.9999*b69)) + sqr(
       8.57900429288824 - x401/(0.0001 + 0.9999*b69)) + sqr(9.23525817101371 - 
       x402/(0.0001 + 0.9999*b69)))*(0.0001 + 0.9999*b69) + 0.0173306712543481*
       b69 =L= 0.0173306712543481;

e132.. (-1 + sqr(0.679990404106158 - x403/(0.0001 + 0.9999*b70)) + sqr(
       7.93354548453717 - x404/(0.0001 + 0.9999*b70)) + sqr(6.24827514848977 - 
       x405/(0.0001 + 0.9999*b70)))*(0.0001 + 0.9999*b70) + 0.0101444473236131*
       b70 =L= 0.0101444473236131;

e133.. (-1 + sqr(3.80282662917579 - x406/(0.0001 + 0.9999*b71)) + sqr(
       5.00336142496769 - x407/(0.0001 + 0.9999*b71)) + sqr(6.01003348085459 - 
       x408/(0.0001 + 0.9999*b71)))*(0.0001 + 0.9999*b71) + 0.00746156183614164
       *b71 =L= 0.00746156183614164;

e134.. (-1 + sqr(6.54293331034743 - x409/(0.0001 + 0.9999*b72)) + sqr(
       1.49363772657694 - x410/(0.0001 + 0.9999*b72)) + sqr(3.58497465463316 - 
       x411/(0.0001 + 0.9999*b72)))*(0.0001 + 0.9999*b72) + 0.00568929732362701
       *b72 =L= 0.00568929732362701;

e135.. (-1 + sqr(5.20241765093859 - x412/(0.0001 + 0.9999*b73)) + sqr(
       5.86977990966318 - x413/(0.0001 + 0.9999*b73)) + sqr(6.440337805336 - 
       x414/(0.0001 + 0.9999*b73)))*(0.0001 + 0.9999*b73) + 0.0101997416649523*
       b73 =L= 0.0101997416649523;

e136.. (-1 + sqr(5.87470028021075 - x415/(0.0001 + 0.9999*b74)) + sqr(
       2.67028689434427 - x416/(0.0001 + 0.9999*b74)) + sqr(0.749156996429077
        - x417/(0.0001 + 0.9999*b74)))*(0.0001 + 0.9999*b74) + 
       0.00412037716857136*b74 =L= 0.00412037716857136;

e137.. (-1 + sqr(2.89776733906328 - x418/(0.0001 + 0.9999*b75)) + sqr(
       5.22108290497701 - x419/(0.0001 + 0.9999*b75)) + sqr(7.57016691626461 - 
       x420/(0.0001 + 0.9999*b75)))*(0.0001 + 0.9999*b75) + 0.00919641893920924
       *b75 =L= 0.00919641893920924;

e138.. (-1 + sqr(3.25002624472116 - x421/(0.0001 + 0.9999*b76)) + sqr(
       6.977422017743 - x422/(0.0001 + 0.9999*b76)) + sqr(0.695695115140367 - 
       x423/(0.0001 + 0.9999*b76)))*(0.0001 + 0.9999*b76) + 0.00587310802982913
       *b76 =L= 0.00587310802982913;

e139.. (-1 + sqr(8.47049713128073 - x424/(0.0001 + 0.9999*b77)) + sqr(
       4.20582102463618 - x425/(0.0001 + 0.9999*b77)) + sqr(4.93941262529365 - 
       x426/(0.0001 + 0.9999*b77)))*(0.0001 + 0.9999*b77) + 0.0112836049225217*
       b77 =L= 0.0112836049225217;

e140.. (-1 + sqr(0.786615440794736 - x427/(0.0001 + 0.9999*b78)) + sqr(
       1.54813106254315 - x428/(0.0001 + 0.9999*b78)) + sqr(2.98963379540322 - 
       x429/(0.0001 + 0.9999*b78)))*(0.0001 + 0.9999*b78) + 0.00109533838691247
       *b78 =L= 0.00109533838691247;

e141.. (-1 + sqr(5.17568572881879 - x430/(0.0001 + 0.9999*b79)) + sqr(
       2.02627806544288 - x431/(0.0001 + 0.9999*b79)) + sqr(9.2740633418688 - 
       x432/(0.0001 + 0.9999*b79)))*(0.0001 + 0.9999*b79) + 0.0115901776430988*
       b79 =L= 0.0115901776430988;

e142.. (-1 + sqr(9.11874181180651 - x433/(0.0001 + 0.9999*b80)) + sqr(
       9.07966816070985 - x434/(0.0001 + 0.9999*b80)) + sqr(1.64995049320116 - 
       x435/(0.0001 + 0.9999*b80)))*(0.0001 + 0.9999*b80) + 0.0167314162769011*
       b80 =L= 0.0167314162769011;

e143.. (-1 + sqr(8.26392769674786 - x436/(0.0001 + 0.9999*b81)) + sqr(
       4.29716878332203 - x437/(0.0001 + 0.9999*b81)) + sqr(3.06511979366618 - 
       x438/(0.0001 + 0.9999*b81)))*(0.0001 + 0.9999*b81) + 0.0095153119878958*
       b81 =L= 0.0095153119878958;

e144.. (-1 + sqr(2.95522257480442 - x439/(0.0001 + 0.9999*b82)) + sqr(
       1.29725120442498 - x440/(0.0001 + 0.9999*b82)) + sqr(0.799527585103169
        - x441/(0.0001 + 0.9999*b82)))*(0.0001 + 0.9999*b82) + 
       0.00100554455133566*b82 =L= 0.00100554455133566;

e145.. (-1 + sqr(5.59281220526297 - x442/(0.0001 + 0.9999*b83)) + sqr(
       5.08387949672858 - x443/(0.0001 + 0.9999*b83)) + sqr(0.547463810150197
        - x444/(0.0001 + 0.9999*b83)))*(0.0001 + 0.9999*b83) + 
       0.00564250957240199*b83 =L= 0.00564250957240199;

e146.. (-1 + sqr(5.5713321706538 - x445/(0.0001 + 0.9999*b84)) + sqr(
       3.89813512317444 - x446/(0.0001 + 0.9999*b84)) + sqr(0.378899938163517
        - x447/(0.0001 + 0.9999*b84)))*(0.0001 + 0.9999*b84) + 
       0.00453787647574285*b84 =L= 0.00453787647574285;

e147.. (-1 + sqr(1.47483805835463 - x448/(0.0001 + 0.9999*b85)) + sqr(
       0.989752492299246 - x449/(0.0001 + 0.9999*b85)) + sqr(5.36717263813865
        - x450/(0.0001 + 0.9999*b85)))*(0.0001 + 0.9999*b85) + 
       0.0030961299421968*b85 =L= 0.0030961299421968;

e148.. (-1 + sqr(4.61507078501251 - x451/(0.0001 + 0.9999*b86)) + sqr(
       0.234707301612243 - x452/(0.0001 + 0.9999*b86)) + sqr(3.97342857514894
        - x453/(0.0001 + 0.9999*b86)))*(0.0001 + 0.9999*b86) + 
       0.00361421005099162*b86 =L= 0.00361421005099162;

e149.. (-1 + sqr(9.15405801517484 - x454/(0.0001 + 0.9999*b87)) + sqr(
       4.26169733166395 - x455/(0.0001 + 0.9999*b87)) + sqr(4.89911772871142 - 
       x456/(0.0001 + 0.9999*b87)))*(0.0001 + 0.9999*b87) + 0.0124960196811673*
       b87 =L= 0.0124960196811673;

e150.. (-1 + sqr(6.23408727244271 - x457/(0.0001 + 0.9999*b88)) + sqr(
       0.755925845511098 - x458/(0.0001 + 0.9999*b88)) + sqr(5.40595672236618
        - x459/(0.0001 + 0.9999*b88)))*(0.0001 + 0.9999*b88) + 
       0.00676596360884399*b88 =L= 0.00676596360884399;

e151.. (-1 + sqr(5.16744991507397 - x460/(0.0001 + 0.9999*b89)) + sqr(
       5.25535097293888 - x461/(0.0001 + 0.9999*b89)) + sqr(3.81062986996748 - 
       x462/(0.0001 + 0.9999*b89)))*(0.0001 + 0.9999*b89) + 0.0067842152479456*
       b89 =L= 0.0067842152479456;

e152.. (-1 + sqr(7.23609076996082 - x463/(0.0001 + 0.9999*b90)) + sqr(
       3.30048962157922 - x464/(0.0001 + 0.9999*b90)) + sqr(8.05002431260521 - 
       x465/(0.0001 + 0.9999*b90)))*(0.0001 + 0.9999*b90) + 0.0127057132806799*
       b90 =L= 0.0127057132806799;

e153..    b61 + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72
        + b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80 + b81 + b82 + b83 + b84
        + b85 + b86 + b87 + b88 + b89 + b90 =E= 1;

e154.. (-1 + sqr(4.83202054247519 - x466/(0.0001 + 0.9999*b91)) + sqr(
       5.08041476544912 - x467/(0.0001 + 0.9999*b91)) + sqr(6.32621379041806 - 
       x468/(0.0001 + 0.9999*b91)))*(0.0001 + 0.9999*b91) + 0.00881800176339713
       *b91 =L= 0.00881800176339713;

e155.. (-1 + sqr(6.86422157586402 - x469/(0.0001 + 0.9999*b92)) + sqr(
       7.66428209799864 - x470/(0.0001 + 0.9999*b92)) + sqr(0.09709175573132 - 
       x471/(0.0001 + 0.9999*b92)))*(0.0001 + 0.9999*b92) + 0.0104868184729291*
       b92 =L= 0.0104868184729291;

e156.. (-1 + sqr(4.84862000711289 - x472/(0.0001 + 0.9999*b93)) + sqr(
       3.45257195120785 - x473/(0.0001 + 0.9999*b93)) + sqr(7.39094773970617 - 
       x474/(0.0001 + 0.9999*b93)))*(0.0001 + 0.9999*b93) + 0.00890554775427104
       *b93 =L= 0.00890554775427104;

e157.. (-1 + sqr(1.90653576175828 - x475/(0.0001 + 0.9999*b94)) + sqr(
       9.06815267710453 - x476/(0.0001 + 0.9999*b94)) + sqr(0.329270310437709
        - x477/(0.0001 + 0.9999*b94)))*(0.0001 + 0.9999*b94) + 
       0.0084974690523477*b94 =L= 0.0084974690523477;

e158.. (-1 + sqr(8.91873287322862 - x478/(0.0001 + 0.9999*b95)) + sqr(
       3.005493222209 - x479/(0.0001 + 0.9999*b95)) + sqr(6.72603314933737 - 
       x480/(0.0001 + 0.9999*b95)))*(0.0001 + 0.9999*b95) + 0.0132816307498738*
       b95 =L= 0.0132816307498738;

e159.. (-1 + sqr(2.79219011695411 - x481/(0.0001 + 0.9999*b96)) + sqr(
       0.0802363505466042 - x482/(0.0001 + 0.9999*b96)) + sqr(5.8239689013093
        - x483/(0.0001 + 0.9999*b96)))*(0.0001 + 0.9999*b96) + 
       0.00407213772845831*b96 =L= 0.00407213772845831;

e160.. (-1 + sqr(8.45192604487847 - x484/(0.0001 + 0.9999*b97)) + sqr(
       0.960982267180915 - x485/(0.0001 + 0.9999*b97)) + sqr(7.08846749273086
        - x486/(0.0001 + 0.9999*b97)))*(0.0001 + 0.9999*b97) + 
       0.0121604912181433*b97 =L= 0.0121604912181433;

e161.. (-1 + sqr(9.76694746975659 - x487/(0.0001 + 0.9999*b98)) + sqr(
       1.64767982343444 - x488/(0.0001 + 0.9999*b98)) + sqr(3.89461195866276 - 
       x489/(0.0001 + 0.9999*b98)))*(0.0001 + 0.9999*b98) + 0.0112276113986097*
       b98 =L= 0.0112276113986097;

e162.. (-1 + sqr(3.92650027388399 - x490/(0.0001 + 0.9999*b99)) + sqr(
       8.57900429288824 - x491/(0.0001 + 0.9999*b99)) + sqr(9.23525817101371 - 
       x492/(0.0001 + 0.9999*b99)))*(0.0001 + 0.9999*b99) + 0.0173306712543481*
       b99 =L= 0.0173306712543481;

e163.. (-1 + sqr(0.679990404106158 - x493/(0.0001 + 0.9999*b100)) + sqr(
       7.93354548453717 - x494/(0.0001 + 0.9999*b100)) + sqr(6.24827514848977
        - x495/(0.0001 + 0.9999*b100)))*(0.0001 + 0.9999*b100) + 
       0.0101444473236131*b100 =L= 0.0101444473236131;

e164.. (-1 + sqr(3.80282662917579 - x496/(0.0001 + 0.9999*b101)) + sqr(
       5.00336142496769 - x497/(0.0001 + 0.9999*b101)) + sqr(6.01003348085459
        - x498/(0.0001 + 0.9999*b101)))*(0.0001 + 0.9999*b101) + 
       0.00746156183614164*b101 =L= 0.00746156183614164;

e165.. (-1 + sqr(6.54293331034743 - x499/(0.0001 + 0.9999*b102)) + sqr(
       1.49363772657694 - x500/(0.0001 + 0.9999*b102)) + sqr(3.58497465463316
        - x501/(0.0001 + 0.9999*b102)))*(0.0001 + 0.9999*b102) + 
       0.00568929732362701*b102 =L= 0.00568929732362701;

e166.. (-1 + sqr(5.20241765093859 - x502/(0.0001 + 0.9999*b103)) + sqr(
       5.86977990966318 - x503/(0.0001 + 0.9999*b103)) + sqr(6.440337805336 - 
       x504/(0.0001 + 0.9999*b103)))*(0.0001 + 0.9999*b103) + 
       0.0101997416649523*b103 =L= 0.0101997416649523;

e167.. (-1 + sqr(5.87470028021075 - x505/(0.0001 + 0.9999*b104)) + sqr(
       2.67028689434427 - x506/(0.0001 + 0.9999*b104)) + sqr(0.749156996429077
        - x507/(0.0001 + 0.9999*b104)))*(0.0001 + 0.9999*b104) + 
       0.00412037716857136*b104 =L= 0.00412037716857136;

e168.. (-1 + sqr(2.89776733906328 - x508/(0.0001 + 0.9999*b105)) + sqr(
       5.22108290497701 - x509/(0.0001 + 0.9999*b105)) + sqr(7.57016691626461
        - x510/(0.0001 + 0.9999*b105)))*(0.0001 + 0.9999*b105) + 
       0.00919641893920924*b105 =L= 0.00919641893920924;

e169.. (-1 + sqr(3.25002624472116 - x511/(0.0001 + 0.9999*b106)) + sqr(
       6.977422017743 - x512/(0.0001 + 0.9999*b106)) + sqr(0.695695115140367 - 
       x513/(0.0001 + 0.9999*b106)))*(0.0001 + 0.9999*b106) + 
       0.00587310802982913*b106 =L= 0.00587310802982913;

e170.. (-1 + sqr(8.47049713128073 - x514/(0.0001 + 0.9999*b107)) + sqr(
       4.20582102463618 - x515/(0.0001 + 0.9999*b107)) + sqr(4.93941262529365
        - x516/(0.0001 + 0.9999*b107)))*(0.0001 + 0.9999*b107) + 
       0.0112836049225217*b107 =L= 0.0112836049225217;

e171.. (-1 + sqr(0.786615440794736 - x517/(0.0001 + 0.9999*b108)) + sqr(
       1.54813106254315 - x518/(0.0001 + 0.9999*b108)) + sqr(2.98963379540322
        - x519/(0.0001 + 0.9999*b108)))*(0.0001 + 0.9999*b108) + 
       0.00109533838691247*b108 =L= 0.00109533838691247;

e172.. (-1 + sqr(5.17568572881879 - x520/(0.0001 + 0.9999*b109)) + sqr(
       2.02627806544288 - x521/(0.0001 + 0.9999*b109)) + sqr(9.2740633418688 - 
       x522/(0.0001 + 0.9999*b109)))*(0.0001 + 0.9999*b109) + 
       0.0115901776430988*b109 =L= 0.0115901776430988;

e173.. (-1 + sqr(9.11874181180651 - x523/(0.0001 + 0.9999*b110)) + sqr(
       9.07966816070985 - x524/(0.0001 + 0.9999*b110)) + sqr(1.64995049320116
        - x525/(0.0001 + 0.9999*b110)))*(0.0001 + 0.9999*b110) + 
       0.0167314162769011*b110 =L= 0.0167314162769011;

e174.. (-1 + sqr(8.26392769674786 - x526/(0.0001 + 0.9999*b111)) + sqr(
       4.29716878332203 - x527/(0.0001 + 0.9999*b111)) + sqr(3.06511979366618
        - x528/(0.0001 + 0.9999*b111)))*(0.0001 + 0.9999*b111) + 
       0.0095153119878958*b111 =L= 0.0095153119878958;

e175.. (-1 + sqr(2.95522257480442 - x529/(0.0001 + 0.9999*b112)) + sqr(
       1.29725120442498 - x530/(0.0001 + 0.9999*b112)) + sqr(0.799527585103169
        - x531/(0.0001 + 0.9999*b112)))*(0.0001 + 0.9999*b112) + 
       0.00100554455133566*b112 =L= 0.00100554455133566;

e176.. (-1 + sqr(5.59281220526297 - x532/(0.0001 + 0.9999*b113)) + sqr(
       5.08387949672858 - x533/(0.0001 + 0.9999*b113)) + sqr(0.547463810150197
        - x534/(0.0001 + 0.9999*b113)))*(0.0001 + 0.9999*b113) + 
       0.00564250957240199*b113 =L= 0.00564250957240199;

e177.. (-1 + sqr(5.5713321706538 - x535/(0.0001 + 0.9999*b114)) + sqr(
       3.89813512317444 - x536/(0.0001 + 0.9999*b114)) + sqr(0.378899938163517
        - x537/(0.0001 + 0.9999*b114)))*(0.0001 + 0.9999*b114) + 
       0.00453787647574285*b114 =L= 0.00453787647574285;

e178.. (-1 + sqr(1.47483805835463 - x538/(0.0001 + 0.9999*b115)) + sqr(
       0.989752492299246 - x539/(0.0001 + 0.9999*b115)) + sqr(5.36717263813865
        - x540/(0.0001 + 0.9999*b115)))*(0.0001 + 0.9999*b115) + 
       0.0030961299421968*b115 =L= 0.0030961299421968;

e179.. (-1 + sqr(4.61507078501251 - x541/(0.0001 + 0.9999*b116)) + sqr(
       0.234707301612243 - x542/(0.0001 + 0.9999*b116)) + sqr(3.97342857514894
        - x543/(0.0001 + 0.9999*b116)))*(0.0001 + 0.9999*b116) + 
       0.00361421005099162*b116 =L= 0.00361421005099162;

e180.. (-1 + sqr(9.15405801517484 - x544/(0.0001 + 0.9999*b117)) + sqr(
       4.26169733166395 - x545/(0.0001 + 0.9999*b117)) + sqr(4.89911772871142
        - x546/(0.0001 + 0.9999*b117)))*(0.0001 + 0.9999*b117) + 
       0.0124960196811673*b117 =L= 0.0124960196811673;

e181.. (-1 + sqr(6.23408727244271 - x547/(0.0001 + 0.9999*b118)) + sqr(
       0.755925845511098 - x548/(0.0001 + 0.9999*b118)) + sqr(5.40595672236618
        - x549/(0.0001 + 0.9999*b118)))*(0.0001 + 0.9999*b118) + 
       0.00676596360884399*b118 =L= 0.00676596360884399;

e182.. (-1 + sqr(5.16744991507397 - x550/(0.0001 + 0.9999*b119)) + sqr(
       5.25535097293888 - x551/(0.0001 + 0.9999*b119)) + sqr(3.81062986996748
        - x552/(0.0001 + 0.9999*b119)))*(0.0001 + 0.9999*b119) + 
       0.0067842152479456*b119 =L= 0.0067842152479456;

e183.. (-1 + sqr(7.23609076996082 - x553/(0.0001 + 0.9999*b120)) + sqr(
       3.30048962157922 - x554/(0.0001 + 0.9999*b120)) + sqr(8.05002431260521
        - x555/(0.0001 + 0.9999*b120)))*(0.0001 + 0.9999*b120) + 
       0.0127057132806799*b120 =L= 0.0127057132806799;

e184..    b91 + b92 + b93 + b94 + b95 + b96 + b97 + b98 + b99 + b100 + b101
        + b102 + b103 + b104 + b105 + b106 + b107 + b108 + b109 + b110 + b111
        + b112 + b113 + b114 + b115 + b116 + b117 + b118 + b119 + b120 =E= 1;

e185.. (-1 + sqr(4.83202054247519 - x556/(0.0001 + 0.9999*b121)) + sqr(
       5.08041476544912 - x557/(0.0001 + 0.9999*b121)) + sqr(6.32621379041806
        - x558/(0.0001 + 0.9999*b121)))*(0.0001 + 0.9999*b121) + 
       0.00881800176339713*b121 =L= 0.00881800176339713;

e186.. (-1 + sqr(6.86422157586402 - x559/(0.0001 + 0.9999*b122)) + sqr(
       7.66428209799864 - x560/(0.0001 + 0.9999*b122)) + sqr(0.09709175573132
        - x561/(0.0001 + 0.9999*b122)))*(0.0001 + 0.9999*b122) + 
       0.0104868184729291*b122 =L= 0.0104868184729291;

e187.. (-1 + sqr(4.84862000711289 - x562/(0.0001 + 0.9999*b123)) + sqr(
       3.45257195120785 - x563/(0.0001 + 0.9999*b123)) + sqr(7.39094773970617
        - x564/(0.0001 + 0.9999*b123)))*(0.0001 + 0.9999*b123) + 
       0.00890554775427104*b123 =L= 0.00890554775427104;

e188.. (-1 + sqr(1.90653576175828 - x565/(0.0001 + 0.9999*b124)) + sqr(
       9.06815267710453 - x566/(0.0001 + 0.9999*b124)) + sqr(0.329270310437709
        - x567/(0.0001 + 0.9999*b124)))*(0.0001 + 0.9999*b124) + 
       0.0084974690523477*b124 =L= 0.0084974690523477;

e189.. (-1 + sqr(8.91873287322862 - x568/(0.0001 + 0.9999*b125)) + sqr(
       3.005493222209 - x569/(0.0001 + 0.9999*b125)) + sqr(6.72603314933737 - 
       x570/(0.0001 + 0.9999*b125)))*(0.0001 + 0.9999*b125) + 
       0.0132816307498738*b125 =L= 0.0132816307498738;

e190.. (-1 + sqr(2.79219011695411 - x571/(0.0001 + 0.9999*b126)) + sqr(
       0.0802363505466042 - x572/(0.0001 + 0.9999*b126)) + sqr(5.8239689013093
        - x573/(0.0001 + 0.9999*b126)))*(0.0001 + 0.9999*b126) + 
       0.00407213772845831*b126 =L= 0.00407213772845831;

e191.. (-1 + sqr(8.45192604487847 - x574/(0.0001 + 0.9999*b127)) + sqr(
       0.960982267180915 - x575/(0.0001 + 0.9999*b127)) + sqr(7.08846749273086
        - x576/(0.0001 + 0.9999*b127)))*(0.0001 + 0.9999*b127) + 
       0.0121604912181433*b127 =L= 0.0121604912181433;

e192.. (-1 + sqr(9.76694746975659 - x577/(0.0001 + 0.9999*b128)) + sqr(
       1.64767982343444 - x578/(0.0001 + 0.9999*b128)) + sqr(3.89461195866276
        - x579/(0.0001 + 0.9999*b128)))*(0.0001 + 0.9999*b128) + 
       0.0112276113986097*b128 =L= 0.0112276113986097;

e193.. (-1 + sqr(3.92650027388399 - x580/(0.0001 + 0.9999*b129)) + sqr(
       8.57900429288824 - x581/(0.0001 + 0.9999*b129)) + sqr(9.23525817101371
        - x582/(0.0001 + 0.9999*b129)))*(0.0001 + 0.9999*b129) + 
       0.0173306712543481*b129 =L= 0.0173306712543481;

e194.. (-1 + sqr(0.679990404106158 - x583/(0.0001 + 0.9999*b130)) + sqr(
       7.93354548453717 - x584/(0.0001 + 0.9999*b130)) + sqr(6.24827514848977
        - x585/(0.0001 + 0.9999*b130)))*(0.0001 + 0.9999*b130) + 
       0.0101444473236131*b130 =L= 0.0101444473236131;

e195.. (-1 + sqr(3.80282662917579 - x586/(0.0001 + 0.9999*b131)) + sqr(
       5.00336142496769 - x587/(0.0001 + 0.9999*b131)) + sqr(6.01003348085459
        - x588/(0.0001 + 0.9999*b131)))*(0.0001 + 0.9999*b131) + 
       0.00746156183614164*b131 =L= 0.00746156183614164;

e196.. (-1 + sqr(6.54293331034743 - x589/(0.0001 + 0.9999*b132)) + sqr(
       1.49363772657694 - x590/(0.0001 + 0.9999*b132)) + sqr(3.58497465463316
        - x591/(0.0001 + 0.9999*b132)))*(0.0001 + 0.9999*b132) + 
       0.00568929732362701*b132 =L= 0.00568929732362701;

e197.. (-1 + sqr(5.20241765093859 - x592/(0.0001 + 0.9999*b133)) + sqr(
       5.86977990966318 - x593/(0.0001 + 0.9999*b133)) + sqr(6.440337805336 - 
       x594/(0.0001 + 0.9999*b133)))*(0.0001 + 0.9999*b133) + 
       0.0101997416649523*b133 =L= 0.0101997416649523;

e198.. (-1 + sqr(5.87470028021075 - x595/(0.0001 + 0.9999*b134)) + sqr(
       2.67028689434427 - x596/(0.0001 + 0.9999*b134)) + sqr(0.749156996429077
        - x597/(0.0001 + 0.9999*b134)))*(0.0001 + 0.9999*b134) + 
       0.00412037716857136*b134 =L= 0.00412037716857136;

e199.. (-1 + sqr(2.89776733906328 - x598/(0.0001 + 0.9999*b135)) + sqr(
       5.22108290497701 - x599/(0.0001 + 0.9999*b135)) + sqr(7.57016691626461
        - x600/(0.0001 + 0.9999*b135)))*(0.0001 + 0.9999*b135) + 
       0.00919641893920924*b135 =L= 0.00919641893920924;

e200.. (-1 + sqr(3.25002624472116 - x601/(0.0001 + 0.9999*b136)) + sqr(
       6.977422017743 - x602/(0.0001 + 0.9999*b136)) + sqr(0.695695115140367 - 
       x603/(0.0001 + 0.9999*b136)))*(0.0001 + 0.9999*b136) + 
       0.00587310802982913*b136 =L= 0.00587310802982913;

e201.. (-1 + sqr(8.47049713128073 - x604/(0.0001 + 0.9999*b137)) + sqr(
       4.20582102463618 - x605/(0.0001 + 0.9999*b137)) + sqr(4.93941262529365
        - x606/(0.0001 + 0.9999*b137)))*(0.0001 + 0.9999*b137) + 
       0.0112836049225217*b137 =L= 0.0112836049225217;

e202.. (-1 + sqr(0.786615440794736 - x607/(0.0001 + 0.9999*b138)) + sqr(
       1.54813106254315 - x608/(0.0001 + 0.9999*b138)) + sqr(2.98963379540322
        - x609/(0.0001 + 0.9999*b138)))*(0.0001 + 0.9999*b138) + 
       0.00109533838691247*b138 =L= 0.00109533838691247;

e203.. (-1 + sqr(5.17568572881879 - x610/(0.0001 + 0.9999*b139)) + sqr(
       2.02627806544288 - x611/(0.0001 + 0.9999*b139)) + sqr(9.2740633418688 - 
       x612/(0.0001 + 0.9999*b139)))*(0.0001 + 0.9999*b139) + 
       0.0115901776430988*b139 =L= 0.0115901776430988;

e204.. (-1 + sqr(9.11874181180651 - x613/(0.0001 + 0.9999*b140)) + sqr(
       9.07966816070985 - x614/(0.0001 + 0.9999*b140)) + sqr(1.64995049320116
        - x615/(0.0001 + 0.9999*b140)))*(0.0001 + 0.9999*b140) + 
       0.0167314162769011*b140 =L= 0.0167314162769011;

e205.. (-1 + sqr(8.26392769674786 - x616/(0.0001 + 0.9999*b141)) + sqr(
       4.29716878332203 - x617/(0.0001 + 0.9999*b141)) + sqr(3.06511979366618
        - x618/(0.0001 + 0.9999*b141)))*(0.0001 + 0.9999*b141) + 
       0.0095153119878958*b141 =L= 0.0095153119878958;

e206.. (-1 + sqr(2.95522257480442 - x619/(0.0001 + 0.9999*b142)) + sqr(
       1.29725120442498 - x620/(0.0001 + 0.9999*b142)) + sqr(0.799527585103169
        - x621/(0.0001 + 0.9999*b142)))*(0.0001 + 0.9999*b142) + 
       0.00100554455133566*b142 =L= 0.00100554455133566;

e207.. (-1 + sqr(5.59281220526297 - x622/(0.0001 + 0.9999*b143)) + sqr(
       5.08387949672858 - x623/(0.0001 + 0.9999*b143)) + sqr(0.547463810150197
        - x624/(0.0001 + 0.9999*b143)))*(0.0001 + 0.9999*b143) + 
       0.00564250957240199*b143 =L= 0.00564250957240199;

e208.. (-1 + sqr(5.5713321706538 - x625/(0.0001 + 0.9999*b144)) + sqr(
       3.89813512317444 - x626/(0.0001 + 0.9999*b144)) + sqr(0.378899938163517
        - x627/(0.0001 + 0.9999*b144)))*(0.0001 + 0.9999*b144) + 
       0.00453787647574285*b144 =L= 0.00453787647574285;

e209.. (-1 + sqr(1.47483805835463 - x628/(0.0001 + 0.9999*b145)) + sqr(
       0.989752492299246 - x629/(0.0001 + 0.9999*b145)) + sqr(5.36717263813865
        - x630/(0.0001 + 0.9999*b145)))*(0.0001 + 0.9999*b145) + 
       0.0030961299421968*b145 =L= 0.0030961299421968;

e210.. (-1 + sqr(4.61507078501251 - x631/(0.0001 + 0.9999*b146)) + sqr(
       0.234707301612243 - x632/(0.0001 + 0.9999*b146)) + sqr(3.97342857514894
        - x633/(0.0001 + 0.9999*b146)))*(0.0001 + 0.9999*b146) + 
       0.00361421005099162*b146 =L= 0.00361421005099162;

e211.. (-1 + sqr(9.15405801517484 - x634/(0.0001 + 0.9999*b147)) + sqr(
       4.26169733166395 - x635/(0.0001 + 0.9999*b147)) + sqr(4.89911772871142
        - x636/(0.0001 + 0.9999*b147)))*(0.0001 + 0.9999*b147) + 
       0.0124960196811673*b147 =L= 0.0124960196811673;

e212.. (-1 + sqr(6.23408727244271 - x637/(0.0001 + 0.9999*b148)) + sqr(
       0.755925845511098 - x638/(0.0001 + 0.9999*b148)) + sqr(5.40595672236618
        - x639/(0.0001 + 0.9999*b148)))*(0.0001 + 0.9999*b148) + 
       0.00676596360884399*b148 =L= 0.00676596360884399;

e213.. (-1 + sqr(5.16744991507397 - x640/(0.0001 + 0.9999*b149)) + sqr(
       5.25535097293888 - x641/(0.0001 + 0.9999*b149)) + sqr(3.81062986996748
        - x642/(0.0001 + 0.9999*b149)))*(0.0001 + 0.9999*b149) + 
       0.0067842152479456*b149 =L= 0.0067842152479456;

e214.. (-1 + sqr(7.23609076996082 - x643/(0.0001 + 0.9999*b150)) + sqr(
       3.30048962157922 - x644/(0.0001 + 0.9999*b150)) + sqr(8.05002431260521
        - x645/(0.0001 + 0.9999*b150)))*(0.0001 + 0.9999*b150) + 
       0.0127057132806799*b150 =L= 0.0127057132806799;

e215..    b121 + b122 + b123 + b124 + b125 + b126 + b127 + b128 + b129 + b130
        + b131 + b132 + b133 + b134 + b135 + b136 + b137 + b138 + b139 + b140
        + b141 + b142 + b143 + b144 + b145 + b146 + b147 + b148 + b149 + b150
        =E= 1;

e216..    b1 + b31 + b61 + b91 + b121 =L= 1;

e217..    b2 + b32 + b62 + b92 + b122 =L= 1;

e218..    b3 + b33 + b63 + b93 + b123 =L= 1;

e219..    b4 + b34 + b64 + b94 + b124 =L= 1;

e220..    b5 + b35 + b65 + b95 + b125 =L= 1;

e221..    b6 + b36 + b66 + b96 + b126 =L= 1;

e222..    b7 + b37 + b67 + b97 + b127 =L= 1;

e223..    b8 + b38 + b68 + b98 + b128 =L= 1;

e224..    b9 + b39 + b69 + b99 + b129 =L= 1;

e225..    b10 + b40 + b70 + b100 + b130 =L= 1;

e226..    b11 + b41 + b71 + b101 + b131 =L= 1;

e227..    b12 + b42 + b72 + b102 + b132 =L= 1;

e228..    b13 + b43 + b73 + b103 + b133 =L= 1;

e229..    b14 + b44 + b74 + b104 + b134 =L= 1;

e230..    b15 + b45 + b75 + b105 + b135 =L= 1;

e231..    b16 + b46 + b76 + b106 + b136 =L= 1;

e232..    b17 + b47 + b77 + b107 + b137 =L= 1;

e233..    b18 + b48 + b78 + b108 + b138 =L= 1;

e234..    b19 + b49 + b79 + b109 + b139 =L= 1;

e235..    b20 + b50 + b80 + b110 + b140 =L= 1;

e236..    b21 + b51 + b81 + b111 + b141 =L= 1;

e237..    b22 + b52 + b82 + b112 + b142 =L= 1;

e238..    b23 + b53 + b83 + b113 + b143 =L= 1;

e239..    b24 + b54 + b84 + b114 + b144 =L= 1;

e240..    b25 + b55 + b85 + b115 + b145 =L= 1;

e241..    b26 + b56 + b86 + b116 + b146 =L= 1;

e242..    b27 + b57 + b87 + b117 + b147 =L= 1;

e243..    b28 + b58 + b88 + b118 + b148 =L= 1;

e244..    b29 + b59 + b89 + b119 + b149 =L= 1;

e245..    b30 + b60 + b90 + b120 + b150 =L= 1;

e246..  - x151 + x196 + x199 + x202 + x205 + x208 + x211 + x214 + x217 + x220
        + x223 + x226 + x229 + x232 + x235 + x238 + x241 + x244 + x247 + x250
        + x253 + x256 + x259 + x262 + x265 + x268 + x271 + x274 + x277 + x280
        + x283 =E= 0;

e247..  - x154 + x197 + x200 + x203 + x206 + x209 + x212 + x215 + x218 + x221
        + x224 + x227 + x230 + x233 + x236 + x239 + x242 + x245 + x248 + x251
        + x254 + x257 + x260 + x263 + x266 + x269 + x272 + x275 + x278 + x281
        + x284 =E= 0;

e248..  - x157 + x198 + x201 + x204 + x207 + x210 + x213 + x216 + x219 + x222
        + x225 + x228 + x231 + x234 + x237 + x240 + x243 + x246 + x249 + x252
        + x255 + x258 + x261 + x264 + x267 + x270 + x273 + x276 + x279 + x282
        + x285 =E= 0;

e249..  - x152 + x286 + x289 + x292 + x295 + x298 + x301 + x304 + x307 + x310
        + x313 + x316 + x319 + x322 + x325 + x328 + x331 + x334 + x337 + x340
        + x343 + x346 + x349 + x352 + x355 + x358 + x361 + x364 + x367 + x370
        + x373 =E= 0;

e250..  - x155 + x287 + x290 + x293 + x296 + x299 + x302 + x305 + x308 + x311
        + x314 + x317 + x320 + x323 + x326 + x329 + x332 + x335 + x338 + x341
        + x344 + x347 + x350 + x353 + x356 + x359 + x362 + x365 + x368 + x371
        + x374 =E= 0;

e251..  - x158 + x288 + x291 + x294 + x297 + x300 + x303 + x306 + x309 + x312
        + x315 + x318 + x321 + x324 + x327 + x330 + x333 + x336 + x339 + x342
        + x345 + x348 + x351 + x354 + x357 + x360 + x363 + x366 + x369 + x372
        + x375 =E= 0;

e252..  - x160 + x376 + x379 + x382 + x385 + x388 + x391 + x394 + x397 + x400
        + x403 + x406 + x409 + x412 + x415 + x418 + x421 + x424 + x427 + x430
        + x433 + x436 + x439 + x442 + x445 + x448 + x451 + x454 + x457 + x460
        + x463 =E= 0;

e253..  - x162 + x377 + x380 + x383 + x386 + x389 + x392 + x395 + x398 + x401
        + x404 + x407 + x410 + x413 + x416 + x419 + x422 + x425 + x428 + x431
        + x434 + x437 + x440 + x443 + x446 + x449 + x452 + x455 + x458 + x461
        + x464 =E= 0;

e254..  - x164 + x378 + x381 + x384 + x387 + x390 + x393 + x396 + x399 + x402
        + x405 + x408 + x411 + x414 + x417 + x420 + x423 + x426 + x429 + x432
        + x435 + x438 + x441 + x444 + x447 + x450 + x453 + x456 + x459 + x462
        + x465 =E= 0;

e255..  - x166 + x466 + x469 + x472 + x475 + x478 + x481 + x484 + x487 + x490
        + x493 + x496 + x499 + x502 + x505 + x508 + x511 + x514 + x517 + x520
        + x523 + x526 + x529 + x532 + x535 + x538 + x541 + x544 + x547 + x550
        + x553 =E= 0;

e256..  - x168 + x467 + x470 + x473 + x476 + x479 + x482 + x485 + x488 + x491
        + x494 + x497 + x500 + x503 + x506 + x509 + x512 + x515 + x518 + x521
        + x524 + x527 + x530 + x533 + x536 + x539 + x542 + x545 + x548 + x551
        + x554 =E= 0;

e257..  - x170 + x468 + x471 + x474 + x477 + x480 + x483 + x486 + x489 + x492
        + x495 + x498 + x501 + x504 + x507 + x510 + x513 + x516 + x519 + x522
        + x525 + x528 + x531 + x534 + x537 + x540 + x543 + x546 + x549 + x552
        + x555 =E= 0;

e258..  - x172 + x556 + x559 + x562 + x565 + x568 + x571 + x574 + x577 + x580
        + x583 + x586 + x589 + x592 + x595 + x598 + x601 + x604 + x607 + x610
        + x613 + x616 + x619 + x622 + x625 + x628 + x631 + x634 + x637 + x640
        + x643 =E= 0;

e259..  - x174 + x557 + x560 + x563 + x566 + x569 + x572 + x575 + x578 + x581
        + x584 + x587 + x590 + x593 + x596 + x599 + x602 + x605 + x608 + x611
        + x614 + x617 + x620 + x623 + x626 + x629 + x632 + x635 + x638 + x641
        + x644 =E= 0;

e260..  - x176 + x558 + x561 + x564 + x567 + x570 + x573 + x576 + x579 + x582
        + x585 + x588 + x591 + x594 + x597 + x600 + x603 + x606 + x609 + x612
        + x615 + x618 + x621 + x624 + x627 + x630 + x633 + x636 + x639 + x642
        + x645 =E= 0;

e261..  - 10*b1 + x196 =L= 0;

e262..  - 10*b2 + x199 =L= 0;

e263..  - 10*b3 + x202 =L= 0;

e264..  - 10*b4 + x205 =L= 0;

e265..  - 10*b5 + x208 =L= 0;

e266..  - 10*b6 + x211 =L= 0;

e267..  - 10*b7 + x214 =L= 0;

e268..  - 10*b8 + x217 =L= 0;

e269..  - 10*b9 + x220 =L= 0;

e270..  - 10*b10 + x223 =L= 0;

e271..  - 10*b11 + x226 =L= 0;

e272..  - 10*b12 + x229 =L= 0;

e273..  - 10*b13 + x232 =L= 0;

e274..  - 10*b14 + x235 =L= 0;

e275..  - 10*b15 + x238 =L= 0;

e276..  - 10*b16 + x241 =L= 0;

e277..  - 10*b17 + x244 =L= 0;

e278..  - 10*b18 + x247 =L= 0;

e279..  - 10*b19 + x250 =L= 0;

e280..  - 10*b20 + x253 =L= 0;

e281..  - 10*b21 + x256 =L= 0;

e282..  - 10*b22 + x259 =L= 0;

e283..  - 10*b23 + x262 =L= 0;

e284..  - 10*b24 + x265 =L= 0;

e285..  - 10*b25 + x268 =L= 0;

e286..  - 10*b26 + x271 =L= 0;

e287..  - 10*b27 + x274 =L= 0;

e288..  - 10*b28 + x277 =L= 0;

e289..  - 10*b29 + x280 =L= 0;

e290..  - 10*b30 + x283 =L= 0;

e291..  - 10*b1 + x197 =L= 0;

e292..  - 10*b2 + x200 =L= 0;

e293..  - 10*b3 + x203 =L= 0;

e294..  - 10*b4 + x206 =L= 0;

e295..  - 10*b5 + x209 =L= 0;

e296..  - 10*b6 + x212 =L= 0;

e297..  - 10*b7 + x215 =L= 0;

e298..  - 10*b8 + x218 =L= 0;

e299..  - 10*b9 + x221 =L= 0;

e300..  - 10*b10 + x224 =L= 0;

e301..  - 10*b11 + x227 =L= 0;

e302..  - 10*b12 + x230 =L= 0;

e303..  - 10*b13 + x233 =L= 0;

e304..  - 10*b14 + x236 =L= 0;

e305..  - 10*b15 + x239 =L= 0;

e306..  - 10*b16 + x242 =L= 0;

e307..  - 10*b17 + x245 =L= 0;

e308..  - 10*b18 + x248 =L= 0;

e309..  - 10*b19 + x251 =L= 0;

e310..  - 10*b20 + x254 =L= 0;

e311..  - 10*b21 + x257 =L= 0;

e312..  - 10*b22 + x260 =L= 0;

e313..  - 10*b23 + x263 =L= 0;

e314..  - 10*b24 + x266 =L= 0;

e315..  - 10*b25 + x269 =L= 0;

e316..  - 10*b26 + x272 =L= 0;

e317..  - 10*b27 + x275 =L= 0;

e318..  - 10*b28 + x278 =L= 0;

e319..  - 10*b29 + x281 =L= 0;

e320..  - 10*b30 + x284 =L= 0;

e321..  - 10*b1 + x198 =L= 0;

e322..  - 10*b2 + x201 =L= 0;

e323..  - 10*b3 + x204 =L= 0;

e324..  - 10*b4 + x207 =L= 0;

e325..  - 10*b5 + x210 =L= 0;

e326..  - 10*b6 + x213 =L= 0;

e327..  - 10*b7 + x216 =L= 0;

e328..  - 10*b8 + x219 =L= 0;

e329..  - 10*b9 + x222 =L= 0;

e330..  - 10*b10 + x225 =L= 0;

e331..  - 10*b11 + x228 =L= 0;

e332..  - 10*b12 + x231 =L= 0;

e333..  - 10*b13 + x234 =L= 0;

e334..  - 10*b14 + x237 =L= 0;

e335..  - 10*b15 + x240 =L= 0;

e336..  - 10*b16 + x243 =L= 0;

e337..  - 10*b17 + x246 =L= 0;

e338..  - 10*b18 + x249 =L= 0;

e339..  - 10*b19 + x252 =L= 0;

e340..  - 10*b20 + x255 =L= 0;

e341..  - 10*b21 + x258 =L= 0;

e342..  - 10*b22 + x261 =L= 0;

e343..  - 10*b23 + x264 =L= 0;

e344..  - 10*b24 + x267 =L= 0;

e345..  - 10*b25 + x270 =L= 0;

e346..  - 10*b26 + x273 =L= 0;

e347..  - 10*b27 + x276 =L= 0;

e348..  - 10*b28 + x279 =L= 0;

e349..  - 10*b29 + x282 =L= 0;

e350..  - 10*b30 + x285 =L= 0;

e351..  - 10*b31 + x286 =L= 0;

e352..  - 10*b32 + x289 =L= 0;

e353..  - 10*b33 + x292 =L= 0;

e354..  - 10*b34 + x295 =L= 0;

e355..  - 10*b35 + x298 =L= 0;

e356..  - 10*b36 + x301 =L= 0;

e357..  - 10*b37 + x304 =L= 0;

e358..  - 10*b38 + x307 =L= 0;

e359..  - 10*b39 + x310 =L= 0;

e360..  - 10*b40 + x313 =L= 0;

e361..  - 10*b41 + x316 =L= 0;

e362..  - 10*b42 + x319 =L= 0;

e363..  - 10*b43 + x322 =L= 0;

e364..  - 10*b44 + x325 =L= 0;

e365..  - 10*b45 + x328 =L= 0;

e366..  - 10*b46 + x331 =L= 0;

e367..  - 10*b47 + x334 =L= 0;

e368..  - 10*b48 + x337 =L= 0;

e369..  - 10*b49 + x340 =L= 0;

e370..  - 10*b50 + x343 =L= 0;

e371..  - 10*b51 + x346 =L= 0;

e372..  - 10*b52 + x349 =L= 0;

e373..  - 10*b53 + x352 =L= 0;

e374..  - 10*b54 + x355 =L= 0;

e375..  - 10*b55 + x358 =L= 0;

e376..  - 10*b56 + x361 =L= 0;

e377..  - 10*b57 + x364 =L= 0;

e378..  - 10*b58 + x367 =L= 0;

e379..  - 10*b59 + x370 =L= 0;

e380..  - 10*b60 + x373 =L= 0;

e381..  - 10*b31 + x287 =L= 0;

e382..  - 10*b32 + x290 =L= 0;

e383..  - 10*b33 + x293 =L= 0;

e384..  - 10*b34 + x296 =L= 0;

e385..  - 10*b35 + x299 =L= 0;

e386..  - 10*b36 + x302 =L= 0;

e387..  - 10*b37 + x305 =L= 0;

e388..  - 10*b38 + x308 =L= 0;

e389..  - 10*b39 + x311 =L= 0;

e390..  - 10*b40 + x314 =L= 0;

e391..  - 10*b41 + x317 =L= 0;

e392..  - 10*b42 + x320 =L= 0;

e393..  - 10*b43 + x323 =L= 0;

e394..  - 10*b44 + x326 =L= 0;

e395..  - 10*b45 + x329 =L= 0;

e396..  - 10*b46 + x332 =L= 0;

e397..  - 10*b47 + x335 =L= 0;

e398..  - 10*b48 + x338 =L= 0;

e399..  - 10*b49 + x341 =L= 0;

e400..  - 10*b50 + x344 =L= 0;

e401..  - 10*b51 + x347 =L= 0;

e402..  - 10*b52 + x350 =L= 0;

e403..  - 10*b53 + x353 =L= 0;

e404..  - 10*b54 + x356 =L= 0;

e405..  - 10*b55 + x359 =L= 0;

e406..  - 10*b56 + x362 =L= 0;

e407..  - 10*b57 + x365 =L= 0;

e408..  - 10*b58 + x368 =L= 0;

e409..  - 10*b59 + x371 =L= 0;

e410..  - 10*b60 + x374 =L= 0;

e411..  - 10*b31 + x288 =L= 0;

e412..  - 10*b32 + x291 =L= 0;

e413..  - 10*b33 + x294 =L= 0;

e414..  - 10*b34 + x297 =L= 0;

e415..  - 10*b35 + x300 =L= 0;

e416..  - 10*b36 + x303 =L= 0;

e417..  - 10*b37 + x306 =L= 0;

e418..  - 10*b38 + x309 =L= 0;

e419..  - 10*b39 + x312 =L= 0;

e420..  - 10*b40 + x315 =L= 0;

e421..  - 10*b41 + x318 =L= 0;

e422..  - 10*b42 + x321 =L= 0;

e423..  - 10*b43 + x324 =L= 0;

e424..  - 10*b44 + x327 =L= 0;

e425..  - 10*b45 + x330 =L= 0;

e426..  - 10*b46 + x333 =L= 0;

e427..  - 10*b47 + x336 =L= 0;

e428..  - 10*b48 + x339 =L= 0;

e429..  - 10*b49 + x342 =L= 0;

e430..  - 10*b50 + x345 =L= 0;

e431..  - 10*b51 + x348 =L= 0;

e432..  - 10*b52 + x351 =L= 0;

e433..  - 10*b53 + x354 =L= 0;

e434..  - 10*b54 + x357 =L= 0;

e435..  - 10*b55 + x360 =L= 0;

e436..  - 10*b56 + x363 =L= 0;

e437..  - 10*b57 + x366 =L= 0;

e438..  - 10*b58 + x369 =L= 0;

e439..  - 10*b59 + x372 =L= 0;

e440..  - 10*b60 + x375 =L= 0;

e441..  - 10*b61 + x376 =L= 0;

e442..  - 10*b62 + x379 =L= 0;

e443..  - 10*b63 + x382 =L= 0;

e444..  - 10*b64 + x385 =L= 0;

e445..  - 10*b65 + x388 =L= 0;

e446..  - 10*b66 + x391 =L= 0;

e447..  - 10*b67 + x394 =L= 0;

e448..  - 10*b68 + x397 =L= 0;

e449..  - 10*b69 + x400 =L= 0;

e450..  - 10*b70 + x403 =L= 0;

e451..  - 10*b71 + x406 =L= 0;

e452..  - 10*b72 + x409 =L= 0;

e453..  - 10*b73 + x412 =L= 0;

e454..  - 10*b74 + x415 =L= 0;

e455..  - 10*b75 + x418 =L= 0;

e456..  - 10*b76 + x421 =L= 0;

e457..  - 10*b77 + x424 =L= 0;

e458..  - 10*b78 + x427 =L= 0;

e459..  - 10*b79 + x430 =L= 0;

e460..  - 10*b80 + x433 =L= 0;

e461..  - 10*b81 + x436 =L= 0;

e462..  - 10*b82 + x439 =L= 0;

e463..  - 10*b83 + x442 =L= 0;

e464..  - 10*b84 + x445 =L= 0;

e465..  - 10*b85 + x448 =L= 0;

e466..  - 10*b86 + x451 =L= 0;

e467..  - 10*b87 + x454 =L= 0;

e468..  - 10*b88 + x457 =L= 0;

e469..  - 10*b89 + x460 =L= 0;

e470..  - 10*b90 + x463 =L= 0;

e471..  - 10*b61 + x377 =L= 0;

e472..  - 10*b62 + x380 =L= 0;

e473..  - 10*b63 + x383 =L= 0;

e474..  - 10*b64 + x386 =L= 0;

e475..  - 10*b65 + x389 =L= 0;

e476..  - 10*b66 + x392 =L= 0;

e477..  - 10*b67 + x395 =L= 0;

e478..  - 10*b68 + x398 =L= 0;

e479..  - 10*b69 + x401 =L= 0;

e480..  - 10*b70 + x404 =L= 0;

e481..  - 10*b71 + x407 =L= 0;

e482..  - 10*b72 + x410 =L= 0;

e483..  - 10*b73 + x413 =L= 0;

e484..  - 10*b74 + x416 =L= 0;

e485..  - 10*b75 + x419 =L= 0;

e486..  - 10*b76 + x422 =L= 0;

e487..  - 10*b77 + x425 =L= 0;

e488..  - 10*b78 + x428 =L= 0;

e489..  - 10*b79 + x431 =L= 0;

e490..  - 10*b80 + x434 =L= 0;

e491..  - 10*b81 + x437 =L= 0;

e492..  - 10*b82 + x440 =L= 0;

e493..  - 10*b83 + x443 =L= 0;

e494..  - 10*b84 + x446 =L= 0;

e495..  - 10*b85 + x449 =L= 0;

e496..  - 10*b86 + x452 =L= 0;

e497..  - 10*b87 + x455 =L= 0;

e498..  - 10*b88 + x458 =L= 0;

e499..  - 10*b89 + x461 =L= 0;

e500..  - 10*b90 + x464 =L= 0;

e501..  - 10*b61 + x378 =L= 0;

e502..  - 10*b62 + x381 =L= 0;

e503..  - 10*b63 + x384 =L= 0;

e504..  - 10*b64 + x387 =L= 0;

e505..  - 10*b65 + x390 =L= 0;

e506..  - 10*b66 + x393 =L= 0;

e507..  - 10*b67 + x396 =L= 0;

e508..  - 10*b68 + x399 =L= 0;

e509..  - 10*b69 + x402 =L= 0;

e510..  - 10*b70 + x405 =L= 0;

e511..  - 10*b71 + x408 =L= 0;

e512..  - 10*b72 + x411 =L= 0;

e513..  - 10*b73 + x414 =L= 0;

e514..  - 10*b74 + x417 =L= 0;

e515..  - 10*b75 + x420 =L= 0;

e516..  - 10*b76 + x423 =L= 0;

e517..  - 10*b77 + x426 =L= 0;

e518..  - 10*b78 + x429 =L= 0;

e519..  - 10*b79 + x432 =L= 0;

e520..  - 10*b80 + x435 =L= 0;

e521..  - 10*b81 + x438 =L= 0;

e522..  - 10*b82 + x441 =L= 0;

e523..  - 10*b83 + x444 =L= 0;

e524..  - 10*b84 + x447 =L= 0;

e525..  - 10*b85 + x450 =L= 0;

e526..  - 10*b86 + x453 =L= 0;

e527..  - 10*b87 + x456 =L= 0;

e528..  - 10*b88 + x459 =L= 0;

e529..  - 10*b89 + x462 =L= 0;

e530..  - 10*b90 + x465 =L= 0;

e531..  - 10*b91 + x466 =L= 0;

e532..  - 10*b92 + x469 =L= 0;

e533..  - 10*b93 + x472 =L= 0;

e534..  - 10*b94 + x475 =L= 0;

e535..  - 10*b95 + x478 =L= 0;

e536..  - 10*b96 + x481 =L= 0;

e537..  - 10*b97 + x484 =L= 0;

e538..  - 10*b98 + x487 =L= 0;

e539..  - 10*b99 + x490 =L= 0;

e540..  - 10*b100 + x493 =L= 0;

e541..  - 10*b101 + x496 =L= 0;

e542..  - 10*b102 + x499 =L= 0;

e543..  - 10*b103 + x502 =L= 0;

e544..  - 10*b104 + x505 =L= 0;

e545..  - 10*b105 + x508 =L= 0;

e546..  - 10*b106 + x511 =L= 0;

e547..  - 10*b107 + x514 =L= 0;

e548..  - 10*b108 + x517 =L= 0;

e549..  - 10*b109 + x520 =L= 0;

e550..  - 10*b110 + x523 =L= 0;

e551..  - 10*b111 + x526 =L= 0;

e552..  - 10*b112 + x529 =L= 0;

e553..  - 10*b113 + x532 =L= 0;

e554..  - 10*b114 + x535 =L= 0;

e555..  - 10*b115 + x538 =L= 0;

e556..  - 10*b116 + x541 =L= 0;

e557..  - 10*b117 + x544 =L= 0;

e558..  - 10*b118 + x547 =L= 0;

e559..  - 10*b119 + x550 =L= 0;

e560..  - 10*b120 + x553 =L= 0;

e561..  - 10*b91 + x467 =L= 0;

e562..  - 10*b92 + x470 =L= 0;

e563..  - 10*b93 + x473 =L= 0;

e564..  - 10*b94 + x476 =L= 0;

e565..  - 10*b95 + x479 =L= 0;

e566..  - 10*b96 + x482 =L= 0;

e567..  - 10*b97 + x485 =L= 0;

e568..  - 10*b98 + x488 =L= 0;

e569..  - 10*b99 + x491 =L= 0;

e570..  - 10*b100 + x494 =L= 0;

e571..  - 10*b101 + x497 =L= 0;

e572..  - 10*b102 + x500 =L= 0;

e573..  - 10*b103 + x503 =L= 0;

e574..  - 10*b104 + x506 =L= 0;

e575..  - 10*b105 + x509 =L= 0;

e576..  - 10*b106 + x512 =L= 0;

e577..  - 10*b107 + x515 =L= 0;

e578..  - 10*b108 + x518 =L= 0;

e579..  - 10*b109 + x521 =L= 0;

e580..  - 10*b110 + x524 =L= 0;

e581..  - 10*b111 + x527 =L= 0;

e582..  - 10*b112 + x530 =L= 0;

e583..  - 10*b113 + x533 =L= 0;

e584..  - 10*b114 + x536 =L= 0;

e585..  - 10*b115 + x539 =L= 0;

e586..  - 10*b116 + x542 =L= 0;

e587..  - 10*b117 + x545 =L= 0;

e588..  - 10*b118 + x548 =L= 0;

e589..  - 10*b119 + x551 =L= 0;

e590..  - 10*b120 + x554 =L= 0;

e591..  - 10*b91 + x468 =L= 0;

e592..  - 10*b92 + x471 =L= 0;

e593..  - 10*b93 + x474 =L= 0;

e594..  - 10*b94 + x477 =L= 0;

e595..  - 10*b95 + x480 =L= 0;

e596..  - 10*b96 + x483 =L= 0;

e597..  - 10*b97 + x486 =L= 0;

e598..  - 10*b98 + x489 =L= 0;

e599..  - 10*b99 + x492 =L= 0;

e600..  - 10*b100 + x495 =L= 0;

e601..  - 10*b101 + x498 =L= 0;

e602..  - 10*b102 + x501 =L= 0;

e603..  - 10*b103 + x504 =L= 0;

e604..  - 10*b104 + x507 =L= 0;

e605..  - 10*b105 + x510 =L= 0;

e606..  - 10*b106 + x513 =L= 0;

e607..  - 10*b107 + x516 =L= 0;

e608..  - 10*b108 + x519 =L= 0;

e609..  - 10*b109 + x522 =L= 0;

e610..  - 10*b110 + x525 =L= 0;

e611..  - 10*b111 + x528 =L= 0;

e612..  - 10*b112 + x531 =L= 0;

e613..  - 10*b113 + x534 =L= 0;

e614..  - 10*b114 + x537 =L= 0;

e615..  - 10*b115 + x540 =L= 0;

e616..  - 10*b116 + x543 =L= 0;

e617..  - 10*b117 + x546 =L= 0;

e618..  - 10*b118 + x549 =L= 0;

e619..  - 10*b119 + x552 =L= 0;

e620..  - 10*b120 + x555 =L= 0;

e621..  - 10*b121 + x556 =L= 0;

e622..  - 10*b122 + x559 =L= 0;

e623..  - 10*b123 + x562 =L= 0;

e624..  - 10*b124 + x565 =L= 0;

e625..  - 10*b125 + x568 =L= 0;

e626..  - 10*b126 + x571 =L= 0;

e627..  - 10*b127 + x574 =L= 0;

e628..  - 10*b128 + x577 =L= 0;

e629..  - 10*b129 + x580 =L= 0;

e630..  - 10*b130 + x583 =L= 0;

e631..  - 10*b131 + x586 =L= 0;

e632..  - 10*b132 + x589 =L= 0;

e633..  - 10*b133 + x592 =L= 0;

e634..  - 10*b134 + x595 =L= 0;

e635..  - 10*b135 + x598 =L= 0;

e636..  - 10*b136 + x601 =L= 0;

e637..  - 10*b137 + x604 =L= 0;

e638..  - 10*b138 + x607 =L= 0;

e639..  - 10*b139 + x610 =L= 0;

e640..  - 10*b140 + x613 =L= 0;

e641..  - 10*b141 + x616 =L= 0;

e642..  - 10*b142 + x619 =L= 0;

e643..  - 10*b143 + x622 =L= 0;

e644..  - 10*b144 + x625 =L= 0;

e645..  - 10*b145 + x628 =L= 0;

e646..  - 10*b146 + x631 =L= 0;

e647..  - 10*b147 + x634 =L= 0;

e648..  - 10*b148 + x637 =L= 0;

e649..  - 10*b149 + x640 =L= 0;

e650..  - 10*b150 + x643 =L= 0;

e651..  - 10*b121 + x557 =L= 0;

e652..  - 10*b122 + x560 =L= 0;

e653..  - 10*b123 + x563 =L= 0;

e654..  - 10*b124 + x566 =L= 0;

e655..  - 10*b125 + x569 =L= 0;

e656..  - 10*b126 + x572 =L= 0;

e657..  - 10*b127 + x575 =L= 0;

e658..  - 10*b128 + x578 =L= 0;

e659..  - 10*b129 + x581 =L= 0;

e660..  - 10*b130 + x584 =L= 0;

e661..  - 10*b131 + x587 =L= 0;

e662..  - 10*b132 + x590 =L= 0;

e663..  - 10*b133 + x593 =L= 0;

e664..  - 10*b134 + x596 =L= 0;

e665..  - 10*b135 + x599 =L= 0;

e666..  - 10*b136 + x602 =L= 0;

e667..  - 10*b137 + x605 =L= 0;

e668..  - 10*b138 + x608 =L= 0;

e669..  - 10*b139 + x611 =L= 0;

e670..  - 10*b140 + x614 =L= 0;

e671..  - 10*b141 + x617 =L= 0;

e672..  - 10*b142 + x620 =L= 0;

e673..  - 10*b143 + x623 =L= 0;

e674..  - 10*b144 + x626 =L= 0;

e675..  - 10*b145 + x629 =L= 0;

e676..  - 10*b146 + x632 =L= 0;

e677..  - 10*b147 + x635 =L= 0;

e678..  - 10*b148 + x638 =L= 0;

e679..  - 10*b149 + x641 =L= 0;

e680..  - 10*b150 + x644 =L= 0;

e681..  - 10*b121 + x558 =L= 0;

e682..  - 10*b122 + x561 =L= 0;

e683..  - 10*b123 + x564 =L= 0;

e684..  - 10*b124 + x567 =L= 0;

e685..  - 10*b125 + x570 =L= 0;

e686..  - 10*b126 + x573 =L= 0;

e687..  - 10*b127 + x576 =L= 0;

e688..  - 10*b128 + x579 =L= 0;

e689..  - 10*b129 + x582 =L= 0;

e690..  - 10*b130 + x585 =L= 0;

e691..  - 10*b131 + x588 =L= 0;

e692..  - 10*b132 + x591 =L= 0;

e693..  - 10*b133 + x594 =L= 0;

e694..  - 10*b134 + x597 =L= 0;

e695..  - 10*b135 + x600 =L= 0;

e696..  - 10*b136 + x603 =L= 0;

e697..  - 10*b137 + x606 =L= 0;

e698..  - 10*b138 + x609 =L= 0;

e699..  - 10*b139 + x612 =L= 0;

e700..  - 10*b140 + x615 =L= 0;

e701..  - 10*b141 + x618 =L= 0;

e702..  - 10*b142 + x621 =L= 0;

e703..  - 10*b143 + x624 =L= 0;

e704..  - 10*b144 + x627 =L= 0;

e705..  - 10*b145 + x630 =L= 0;

e706..  - 10*b146 + x633 =L= 0;

e707..  - 10*b147 + x636 =L= 0;

e708..  - 10*b148 + x639 =L= 0;

e709..  - 10*b149 + x642 =L= 0;

e710..  - 10*b150 + x645 =L= 0;

e711..    x151 - x152 =L= 0;

e712..    x152 - x160 =L= 0;

e713..    x160 - x166 =L= 0;

e714..    x166 - x172 =L= 0;

e715..  - x153 - x156 - x159 - x161 - x163 - x165 - x167 - x169 - x171 - x173
        - x175 - x177 - x178 - x179 - x180 - x181 - x182 - x183 - x184 - x185
        - x186 - x187 - x188 - x189 - x190 - x191 - x192 - x193 - x194 - x195
        + objvar =E= 0;

* set non-default bounds
x151.up = 10;
x152.up = 10;
x153.up = 10;
x154.up = 10;
x155.up = 10;
x156.up = 10;
x157.up = 10;
x158.up = 10;
x159.up = 10;
x160.up = 10;
x161.up = 10;
x162.up = 10;
x163.up = 10;
x164.up = 10;
x165.up = 10;
x166.up = 10;
x167.up = 10;
x168.up = 10;
x169.up = 10;
x170.up = 10;
x171.up = 10;
x172.up = 10;
x173.up = 10;
x174.up = 10;
x175.up = 10;
x176.up = 10;
x177.up = 10;
x178.up = 10;
x179.up = 10;
x180.up = 10;
x181.up = 10;
x182.up = 10;
x183.up = 10;
x184.up = 10;
x185.up = 10;
x186.up = 10;
x187.up = 10;
x188.up = 10;
x189.up = 10;
x190.up = 10;
x191.up = 10;
x192.up = 10;
x193.up = 10;
x194.up = 10;
x195.up = 10;
x196.up = 10;
x197.up = 10;
x198.up = 10;
x199.up = 10;
x200.up = 10;
x201.up = 10;
x202.up = 10;
x203.up = 10;
x204.up = 10;
x205.up = 10;
x206.up = 10;
x207.up = 10;
x208.up = 10;
x209.up = 10;
x210.up = 10;
x211.up = 10;
x212.up = 10;
x213.up = 10;
x214.up = 10;
x215.up = 10;
x216.up = 10;
x217.up = 10;
x218.up = 10;
x219.up = 10;
x220.up = 10;
x221.up = 10;
x222.up = 10;
x223.up = 10;
x224.up = 10;
x225.up = 10;
x226.up = 10;
x227.up = 10;
x228.up = 10;
x229.up = 10;
x230.up = 10;
x231.up = 10;
x232.up = 10;
x233.up = 10;
x234.up = 10;
x235.up = 10;
x236.up = 10;
x237.up = 10;
x238.up = 10;
x239.up = 10;
x240.up = 10;
x241.up = 10;
x242.up = 10;
x243.up = 10;
x244.up = 10;
x245.up = 10;
x246.up = 10;
x247.up = 10;
x248.up = 10;
x249.up = 10;
x250.up = 10;
x251.up = 10;
x252.up = 10;
x253.up = 10;
x254.up = 10;
x255.up = 10;
x256.up = 10;
x257.up = 10;
x258.up = 10;
x259.up = 10;
x260.up = 10;
x261.up = 10;
x262.up = 10;
x263.up = 10;
x264.up = 10;
x265.up = 10;
x266.up = 10;
x267.up = 10;
x268.up = 10;
x269.up = 10;
x270.up = 10;
x271.up = 10;
x272.up = 10;
x273.up = 10;
x274.up = 10;
x275.up = 10;
x276.up = 10;
x277.up = 10;
x278.up = 10;
x279.up = 10;
x280.up = 10;
x281.up = 10;
x282.up = 10;
x283.up = 10;
x284.up = 10;
x285.up = 10;
x286.up = 10;
x287.up = 10;
x288.up = 10;
x289.up = 10;
x290.up = 10;
x291.up = 10;
x292.up = 10;
x293.up = 10;
x294.up = 10;
x295.up = 10;
x296.up = 10;
x297.up = 10;
x298.up = 10;
x299.up = 10;
x300.up = 10;
x301.up = 10;
x302.up = 10;
x303.up = 10;
x304.up = 10;
x305.up = 10;
x306.up = 10;
x307.up = 10;
x308.up = 10;
x309.up = 10;
x310.up = 10;
x311.up = 10;
x312.up = 10;
x313.up = 10;
x314.up = 10;
x315.up = 10;
x316.up = 10;
x317.up = 10;
x318.up = 10;
x319.up = 10;
x320.up = 10;
x321.up = 10;
x322.up = 10;
x323.up = 10;
x324.up = 10;
x325.up = 10;
x326.up = 10;
x327.up = 10;
x328.up = 10;
x329.up = 10;
x330.up = 10;
x331.up = 10;
x332.up = 10;
x333.up = 10;
x334.up = 10;
x335.up = 10;
x336.up = 10;
x337.up = 10;
x338.up = 10;
x339.up = 10;
x340.up = 10;
x341.up = 10;
x342.up = 10;
x343.up = 10;
x344.up = 10;
x345.up = 10;
x346.up = 10;
x347.up = 10;
x348.up = 10;
x349.up = 10;
x350.up = 10;
x351.up = 10;
x352.up = 10;
x353.up = 10;
x354.up = 10;
x355.up = 10;
x356.up = 10;
x357.up = 10;
x358.up = 10;
x359.up = 10;
x360.up = 10;
x361.up = 10;
x362.up = 10;
x363.up = 10;
x364.up = 10;
x365.up = 10;
x366.up = 10;
x367.up = 10;
x368.up = 10;
x369.up = 10;
x370.up = 10;
x371.up = 10;
x372.up = 10;
x373.up = 10;
x374.up = 10;
x375.up = 10;
x376.up = 10;
x377.up = 10;
x378.up = 10;
x379.up = 10;
x380.up = 10;
x381.up = 10;
x382.up = 10;
x383.up = 10;
x384.up = 10;
x385.up = 10;
x386.up = 10;
x387.up = 10;
x388.up = 10;
x389.up = 10;
x390.up = 10;
x391.up = 10;
x392.up = 10;
x393.up = 10;
x394.up = 10;
x395.up = 10;
x396.up = 10;
x397.up = 10;
x398.up = 10;
x399.up = 10;
x400.up = 10;
x401.up = 10;
x402.up = 10;
x403.up = 10;
x404.up = 10;
x405.up = 10;
x406.up = 10;
x407.up = 10;
x408.up = 10;
x409.up = 10;
x410.up = 10;
x411.up = 10;
x412.up = 10;
x413.up = 10;
x414.up = 10;
x415.up = 10;
x416.up = 10;
x417.up = 10;
x418.up = 10;
x419.up = 10;
x420.up = 10;
x421.up = 10;
x422.up = 10;
x423.up = 10;
x424.up = 10;
x425.up = 10;
x426.up = 10;
x427.up = 10;
x428.up = 10;
x429.up = 10;
x430.up = 10;
x431.up = 10;
x432.up = 10;
x433.up = 10;
x434.up = 10;
x435.up = 10;
x436.up = 10;
x437.up = 10;
x438.up = 10;
x439.up = 10;
x440.up = 10;
x441.up = 10;
x442.up = 10;
x443.up = 10;
x444.up = 10;
x445.up = 10;
x446.up = 10;
x447.up = 10;
x448.up = 10;
x449.up = 10;
x450.up = 10;
x451.up = 10;
x452.up = 10;
x453.up = 10;
x454.up = 10;
x455.up = 10;
x456.up = 10;
x457.up = 10;
x458.up = 10;
x459.up = 10;
x460.up = 10;
x461.up = 10;
x462.up = 10;
x463.up = 10;
x464.up = 10;
x465.up = 10;
x466.up = 10;
x467.up = 10;
x468.up = 10;
x469.up = 10;
x470.up = 10;
x471.up = 10;
x472.up = 10;
x473.up = 10;
x474.up = 10;
x475.up = 10;
x476.up = 10;
x477.up = 10;
x478.up = 10;
x479.up = 10;
x480.up = 10;
x481.up = 10;
x482.up = 10;
x483.up = 10;
x484.up = 10;
x485.up = 10;
x486.up = 10;
x487.up = 10;
x488.up = 10;
x489.up = 10;
x490.up = 10;
x491.up = 10;
x492.up = 10;
x493.up = 10;
x494.up = 10;
x495.up = 10;
x496.up = 10;
x497.up = 10;
x498.up = 10;
x499.up = 10;
x500.up = 10;
x501.up = 10;
x502.up = 10;
x503.up = 10;
x504.up = 10;
x505.up = 10;
x506.up = 10;
x507.up = 10;
x508.up = 10;
x509.up = 10;
x510.up = 10;
x511.up = 10;
x512.up = 10;
x513.up = 10;
x514.up = 10;
x515.up = 10;
x516.up = 10;
x517.up = 10;
x518.up = 10;
x519.up = 10;
x520.up = 10;
x521.up = 10;
x522.up = 10;
x523.up = 10;
x524.up = 10;
x525.up = 10;
x526.up = 10;
x527.up = 10;
x528.up = 10;
x529.up = 10;
x530.up = 10;
x531.up = 10;
x532.up = 10;
x533.up = 10;
x534.up = 10;
x535.up = 10;
x536.up = 10;
x537.up = 10;
x538.up = 10;
x539.up = 10;
x540.up = 10;
x541.up = 10;
x542.up = 10;
x543.up = 10;
x544.up = 10;
x545.up = 10;
x546.up = 10;
x547.up = 10;
x548.up = 10;
x549.up = 10;
x550.up = 10;
x551.up = 10;
x552.up = 10;
x553.up = 10;
x554.up = 10;
x555.up = 10;
x556.up = 10;
x557.up = 10;
x558.up = 10;
x559.up = 10;
x560.up = 10;
x561.up = 10;
x562.up = 10;
x563.up = 10;
x564.up = 10;
x565.up = 10;
x566.up = 10;
x567.up = 10;
x568.up = 10;
x569.up = 10;
x570.up = 10;
x571.up = 10;
x572.up = 10;
x573.up = 10;
x574.up = 10;
x575.up = 10;
x576.up = 10;
x577.up = 10;
x578.up = 10;
x579.up = 10;
x580.up = 10;
x581.up = 10;
x582.up = 10;
x583.up = 10;
x584.up = 10;
x585.up = 10;
x586.up = 10;
x587.up = 10;
x588.up = 10;
x589.up = 10;
x590.up = 10;
x591.up = 10;
x592.up = 10;
x593.up = 10;
x594.up = 10;
x595.up = 10;
x596.up = 10;
x597.up = 10;
x598.up = 10;
x599.up = 10;
x600.up = 10;
x601.up = 10;
x602.up = 10;
x603.up = 10;
x604.up = 10;
x605.up = 10;
x606.up = 10;
x607.up = 10;
x608.up = 10;
x609.up = 10;
x610.up = 10;
x611.up = 10;
x612.up = 10;
x613.up = 10;
x614.up = 10;
x615.up = 10;
x616.up = 10;
x617.up = 10;
x618.up = 10;
x619.up = 10;
x620.up = 10;
x621.up = 10;
x622.up = 10;
x623.up = 10;
x624.up = 10;
x625.up = 10;
x626.up = 10;
x627.up = 10;
x628.up = 10;
x629.up = 10;
x630.up = 10;
x631.up = 10;
x632.up = 10;
x633.up = 10;
x634.up = 10;
x635.up = 10;
x636.up = 10;
x637.up = 10;
x638.up = 10;
x639.up = 10;
x640.up = 10;
x641.up = 10;
x642.up = 10;
x643.up = 10;
x644.up = 10;
x645.up = 10;

Model m / all /;

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

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

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


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