MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance squfl010-040persp

Separable quadratic uncapacitated facility location problem.
A set of customers, each having unit demand, has to be satisfied by open facilities. The objective is to minimize the sum of the fixed cost for operating facilities and the shipping cost which is proportional to the square of the quantity delivered to each customer.
Perspective reformulation of squfl010-040.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
240.59852620 p1 ( gdx sol )
(infeas: 2e-16)
Other points (infeas > 1e-08)
240.59672090 p2 ( gdx sol )
(infeas: 9e-07)
Dual Bounds
240.59564680 (ANTIGONE)
240.59852590 (BARON)
240.59834380 (COUENNE)
240.59852620 (CPLEX)
240.59852620 (GUROBI)
240.59852620 (LINDO)
240.59709730 (SCIP)
3.00000000 (SHOT)
References Günlük, Oktay, Lee, Jon, and Weismantel, Robert, MINLP Strengthening for Separable Convex Quadratic Transportation-Cost UFL, Tech. Rep. RC24213, IBM Research, 2007.
Günlük, Oktay and Linderoth, Jeff T, Perspective reformulations of mixed integer nonlinear programs with indicator variables, Mathematical Programming, 124:1-2, 2010, 183-205.
Günlük, Oktay and Linderoth, Jeff T, Perspective Reformulation and Applications. In Lee, Jon and Leyffer, Sven, Eds, Mixed Integer Nonlinear Programming, Springer, 2012, 61-89.
Application Facility Location
Added to library 24 Feb 2014
Problem type MBQCP
#Variables 810
#Binary Variables 10
#Integer Variables 0
#Nonlinear Variables 810
#Nonlinear Binary Variables 10
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 410
#Nonlinear Nonzeros in Objective 0
#Constraints 840
#Linear Constraints 440
#Quadratic Constraints 400
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2400
#Nonlinear Nonzeros in Jacobian 1200
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1200
#Nonzeros in Diagonal of Hessian of Lagrangian 400
#Blocks in Hessian of Lagrangian 410
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 41
Average blocksize in Hessian of Lagrangian 1.97561
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 9.6000e+01
Infeasibility of initial point 0.1
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
*        841       41        0      800        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        811      801       10        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2811     1611     1200        0
*
*  Solve m using MINLP 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,b401,b402
          ,b403,b404,b405,b406,b407,b408,b409,b410,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,objvar;

Positive 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
          ,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;

Binary Variables  b401,b402,b403,b404,b405,b406,b407,b408,b409,b410;

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
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e1..  - 62*b401 - 3*b402 - 68*b403 - 19*b404 - 9*b405 - 18*b406 - 48*b407
      - 44*b408 - 96*b409 - 25*b410 - 22.6381215938389*x411
      - 17.4766742929333*x412 - 25.4187922554943*x413 - 27.1035680108328*x414
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      + objvar =E= 0;

e2..    x1 - b401 =L= 0;

e3..    x2 - b401 =L= 0;

e4..    x3 - b401 =L= 0;

e5..    x4 - b401 =L= 0;

e6..    x5 - b401 =L= 0;

e7..    x6 - b401 =L= 0;

e8..    x7 - b401 =L= 0;

e9..    x8 - b401 =L= 0;

e10..    x9 - b401 =L= 0;

e11..    x10 - b401 =L= 0;

e12..    x11 - b401 =L= 0;

e13..    x12 - b401 =L= 0;

e14..    x13 - b401 =L= 0;

e15..    x14 - b401 =L= 0;

e16..    x15 - b401 =L= 0;

e17..    x16 - b401 =L= 0;

e18..    x17 - b401 =L= 0;

e19..    x18 - b401 =L= 0;

e20..    x19 - b401 =L= 0;

e21..    x20 - b401 =L= 0;

e22..    x21 - b401 =L= 0;

e23..    x22 - b401 =L= 0;

e24..    x23 - b401 =L= 0;

e25..    x24 - b401 =L= 0;

e26..    x25 - b401 =L= 0;

e27..    x26 - b401 =L= 0;

e28..    x27 - b401 =L= 0;

e29..    x28 - b401 =L= 0;

e30..    x29 - b401 =L= 0;

e31..    x30 - b401 =L= 0;

e32..    x31 - b401 =L= 0;

e33..    x32 - b401 =L= 0;

e34..    x33 - b401 =L= 0;

e35..    x34 - b401 =L= 0;

e36..    x35 - b401 =L= 0;

e37..    x36 - b401 =L= 0;

e38..    x37 - b401 =L= 0;

e39..    x38 - b401 =L= 0;

e40..    x39 - b401 =L= 0;

e41..    x40 - b401 =L= 0;

e42..    x41 - b402 =L= 0;

e43..    x42 - b402 =L= 0;

e44..    x43 - b402 =L= 0;

e45..    x44 - b402 =L= 0;

e46..    x45 - b402 =L= 0;

e47..    x46 - b402 =L= 0;

e48..    x47 - b402 =L= 0;

e49..    x48 - b402 =L= 0;

e50..    x49 - b402 =L= 0;

e51..    x50 - b402 =L= 0;

e52..    x51 - b402 =L= 0;

e53..    x52 - b402 =L= 0;

e54..    x53 - b402 =L= 0;

e55..    x54 - b402 =L= 0;

e56..    x55 - b402 =L= 0;

e57..    x56 - b402 =L= 0;

e58..    x57 - b402 =L= 0;

e59..    x58 - b402 =L= 0;

e60..    x59 - b402 =L= 0;

e61..    x60 - b402 =L= 0;

e62..    x61 - b402 =L= 0;

e63..    x62 - b402 =L= 0;

e64..    x63 - b402 =L= 0;

e65..    x64 - b402 =L= 0;

e66..    x65 - b402 =L= 0;

e67..    x66 - b402 =L= 0;

e68..    x67 - b402 =L= 0;

e69..    x68 - b402 =L= 0;

e70..    x69 - b402 =L= 0;

e71..    x70 - b402 =L= 0;

e72..    x71 - b402 =L= 0;

e73..    x72 - b402 =L= 0;

e74..    x73 - b402 =L= 0;

e75..    x74 - b402 =L= 0;

e76..    x75 - b402 =L= 0;

e77..    x76 - b402 =L= 0;

e78..    x77 - b402 =L= 0;

e79..    x78 - b402 =L= 0;

e80..    x79 - b402 =L= 0;

e81..    x80 - b402 =L= 0;

e82..    x81 - b403 =L= 0;

e83..    x82 - b403 =L= 0;

e84..    x83 - b403 =L= 0;

e85..    x84 - b403 =L= 0;

e86..    x85 - b403 =L= 0;

e87..    x86 - b403 =L= 0;

e88..    x87 - b403 =L= 0;

e89..    x88 - b403 =L= 0;

e90..    x89 - b403 =L= 0;

e91..    x90 - b403 =L= 0;

e92..    x91 - b403 =L= 0;

e93..    x92 - b403 =L= 0;

e94..    x93 - b403 =L= 0;

e95..    x94 - b403 =L= 0;

e96..    x95 - b403 =L= 0;

e97..    x96 - b403 =L= 0;

e98..    x97 - b403 =L= 0;

e99..    x98 - b403 =L= 0;

e100..    x99 - b403 =L= 0;

e101..    x100 - b403 =L= 0;

e102..    x101 - b403 =L= 0;

e103..    x102 - b403 =L= 0;

e104..    x103 - b403 =L= 0;

e105..    x104 - b403 =L= 0;

e106..    x105 - b403 =L= 0;

e107..    x106 - b403 =L= 0;

e108..    x107 - b403 =L= 0;

e109..    x108 - b403 =L= 0;

e110..    x109 - b403 =L= 0;

e111..    x110 - b403 =L= 0;

e112..    x111 - b403 =L= 0;

e113..    x112 - b403 =L= 0;

e114..    x113 - b403 =L= 0;

e115..    x114 - b403 =L= 0;

e116..    x115 - b403 =L= 0;

e117..    x116 - b403 =L= 0;

e118..    x117 - b403 =L= 0;

e119..    x118 - b403 =L= 0;

e120..    x119 - b403 =L= 0;

e121..    x120 - b403 =L= 0;

e122..    x121 - b404 =L= 0;

e123..    x122 - b404 =L= 0;

e124..    x123 - b404 =L= 0;

e125..    x124 - b404 =L= 0;

e126..    x125 - b404 =L= 0;

e127..    x126 - b404 =L= 0;

e128..    x127 - b404 =L= 0;

e129..    x128 - b404 =L= 0;

e130..    x129 - b404 =L= 0;

e131..    x130 - b404 =L= 0;

e132..    x131 - b404 =L= 0;

e133..    x132 - b404 =L= 0;

e134..    x133 - b404 =L= 0;

e135..    x134 - b404 =L= 0;

e136..    x135 - b404 =L= 0;

e137..    x136 - b404 =L= 0;

e138..    x137 - b404 =L= 0;

e139..    x138 - b404 =L= 0;

e140..    x139 - b404 =L= 0;

e141..    x140 - b404 =L= 0;

e142..    x141 - b404 =L= 0;

e143..    x142 - b404 =L= 0;

e144..    x143 - b404 =L= 0;

e145..    x144 - b404 =L= 0;

e146..    x145 - b404 =L= 0;

e147..    x146 - b404 =L= 0;

e148..    x147 - b404 =L= 0;

e149..    x148 - b404 =L= 0;

e150..    x149 - b404 =L= 0;

e151..    x150 - b404 =L= 0;

e152..    x151 - b404 =L= 0;

e153..    x152 - b404 =L= 0;

e154..    x153 - b404 =L= 0;

e155..    x154 - b404 =L= 0;

e156..    x155 - b404 =L= 0;

e157..    x156 - b404 =L= 0;

e158..    x157 - b404 =L= 0;

e159..    x158 - b404 =L= 0;

e160..    x159 - b404 =L= 0;

e161..    x160 - b404 =L= 0;

e162..    x161 - b405 =L= 0;

e163..    x162 - b405 =L= 0;

e164..    x163 - b405 =L= 0;

e165..    x164 - b405 =L= 0;

e166..    x165 - b405 =L= 0;

e167..    x166 - b405 =L= 0;

e168..    x167 - b405 =L= 0;

e169..    x168 - b405 =L= 0;

e170..    x169 - b405 =L= 0;

e171..    x170 - b405 =L= 0;

e172..    x171 - b405 =L= 0;

e173..    x172 - b405 =L= 0;

e174..    x173 - b405 =L= 0;

e175..    x174 - b405 =L= 0;

e176..    x175 - b405 =L= 0;

e177..    x176 - b405 =L= 0;

e178..    x177 - b405 =L= 0;

e179..    x178 - b405 =L= 0;

e180..    x179 - b405 =L= 0;

e181..    x180 - b405 =L= 0;

e182..    x181 - b405 =L= 0;

e183..    x182 - b405 =L= 0;

e184..    x183 - b405 =L= 0;

e185..    x184 - b405 =L= 0;

e186..    x185 - b405 =L= 0;

e187..    x186 - b405 =L= 0;

e188..    x187 - b405 =L= 0;

e189..    x188 - b405 =L= 0;

e190..    x189 - b405 =L= 0;

e191..    x190 - b405 =L= 0;

e192..    x191 - b405 =L= 0;

e193..    x192 - b405 =L= 0;

e194..    x193 - b405 =L= 0;

e195..    x194 - b405 =L= 0;

e196..    x195 - b405 =L= 0;

e197..    x196 - b405 =L= 0;

e198..    x197 - b405 =L= 0;

e199..    x198 - b405 =L= 0;

e200..    x199 - b405 =L= 0;

e201..    x200 - b405 =L= 0;

e202..    x201 - b406 =L= 0;

e203..    x202 - b406 =L= 0;

e204..    x203 - b406 =L= 0;

e205..    x204 - b406 =L= 0;

e206..    x205 - b406 =L= 0;

e207..    x206 - b406 =L= 0;

e208..    x207 - b406 =L= 0;

e209..    x208 - b406 =L= 0;

e210..    x209 - b406 =L= 0;

e211..    x210 - b406 =L= 0;

e212..    x211 - b406 =L= 0;

e213..    x212 - b406 =L= 0;

e214..    x213 - b406 =L= 0;

e215..    x214 - b406 =L= 0;

e216..    x215 - b406 =L= 0;

e217..    x216 - b406 =L= 0;

e218..    x217 - b406 =L= 0;

e219..    x218 - b406 =L= 0;

e220..    x219 - b406 =L= 0;

e221..    x220 - b406 =L= 0;

e222..    x221 - b406 =L= 0;

e223..    x222 - b406 =L= 0;

e224..    x223 - b406 =L= 0;

e225..    x224 - b406 =L= 0;

e226..    x225 - b406 =L= 0;

e227..    x226 - b406 =L= 0;

e228..    x227 - b406 =L= 0;

e229..    x228 - b406 =L= 0;

e230..    x229 - b406 =L= 0;

e231..    x230 - b406 =L= 0;

e232..    x231 - b406 =L= 0;

e233..    x232 - b406 =L= 0;

e234..    x233 - b406 =L= 0;

e235..    x234 - b406 =L= 0;

e236..    x235 - b406 =L= 0;

e237..    x236 - b406 =L= 0;

e238..    x237 - b406 =L= 0;

e239..    x238 - b406 =L= 0;

e240..    x239 - b406 =L= 0;

e241..    x240 - b406 =L= 0;

e242..    x241 - b407 =L= 0;

e243..    x242 - b407 =L= 0;

e244..    x243 - b407 =L= 0;

e245..    x244 - b407 =L= 0;

e246..    x245 - b407 =L= 0;

e247..    x246 - b407 =L= 0;

e248..    x247 - b407 =L= 0;

e249..    x248 - b407 =L= 0;

e250..    x249 - b407 =L= 0;

e251..    x250 - b407 =L= 0;

e252..    x251 - b407 =L= 0;

e253..    x252 - b407 =L= 0;

e254..    x253 - b407 =L= 0;

e255..    x254 - b407 =L= 0;

e256..    x255 - b407 =L= 0;

e257..    x256 - b407 =L= 0;

e258..    x257 - b407 =L= 0;

e259..    x258 - b407 =L= 0;

e260..    x259 - b407 =L= 0;

e261..    x260 - b407 =L= 0;

e262..    x261 - b407 =L= 0;

e263..    x262 - b407 =L= 0;

e264..    x263 - b407 =L= 0;

e265..    x264 - b407 =L= 0;

e266..    x265 - b407 =L= 0;

e267..    x266 - b407 =L= 0;

e268..    x267 - b407 =L= 0;

e269..    x268 - b407 =L= 0;

e270..    x269 - b407 =L= 0;

e271..    x270 - b407 =L= 0;

e272..    x271 - b407 =L= 0;

e273..    x272 - b407 =L= 0;

e274..    x273 - b407 =L= 0;

e275..    x274 - b407 =L= 0;

e276..    x275 - b407 =L= 0;

e277..    x276 - b407 =L= 0;

e278..    x277 - b407 =L= 0;

e279..    x278 - b407 =L= 0;

e280..    x279 - b407 =L= 0;

e281..    x280 - b407 =L= 0;

e282..    x281 - b408 =L= 0;

e283..    x282 - b408 =L= 0;

e284..    x283 - b408 =L= 0;

e285..    x284 - b408 =L= 0;

e286..    x285 - b408 =L= 0;

e287..    x286 - b408 =L= 0;

e288..    x287 - b408 =L= 0;

e289..    x288 - b408 =L= 0;

e290..    x289 - b408 =L= 0;

e291..    x290 - b408 =L= 0;

e292..    x291 - b408 =L= 0;

e293..    x292 - b408 =L= 0;

e294..    x293 - b408 =L= 0;

e295..    x294 - b408 =L= 0;

e296..    x295 - b408 =L= 0;

e297..    x296 - b408 =L= 0;

e298..    x297 - b408 =L= 0;

e299..    x298 - b408 =L= 0;

e300..    x299 - b408 =L= 0;

e301..    x300 - b408 =L= 0;

e302..    x301 - b408 =L= 0;

e303..    x302 - b408 =L= 0;

e304..    x303 - b408 =L= 0;

e305..    x304 - b408 =L= 0;

e306..    x305 - b408 =L= 0;

e307..    x306 - b408 =L= 0;

e308..    x307 - b408 =L= 0;

e309..    x308 - b408 =L= 0;

e310..    x309 - b408 =L= 0;

e311..    x310 - b408 =L= 0;

e312..    x311 - b408 =L= 0;

e313..    x312 - b408 =L= 0;

e314..    x313 - b408 =L= 0;

e315..    x314 - b408 =L= 0;

e316..    x315 - b408 =L= 0;

e317..    x316 - b408 =L= 0;

e318..    x317 - b408 =L= 0;

e319..    x318 - b408 =L= 0;

e320..    x319 - b408 =L= 0;

e321..    x320 - b408 =L= 0;

e322..    x321 - b409 =L= 0;

e323..    x322 - b409 =L= 0;

e324..    x323 - b409 =L= 0;

e325..    x324 - b409 =L= 0;

e326..    x325 - b409 =L= 0;

e327..    x326 - b409 =L= 0;

e328..    x327 - b409 =L= 0;

e329..    x328 - b409 =L= 0;

e330..    x329 - b409 =L= 0;

e331..    x330 - b409 =L= 0;

e332..    x331 - b409 =L= 0;

e333..    x332 - b409 =L= 0;

e334..    x333 - b409 =L= 0;

e335..    x334 - b409 =L= 0;

e336..    x335 - b409 =L= 0;

e337..    x336 - b409 =L= 0;

e338..    x337 - b409 =L= 0;

e339..    x338 - b409 =L= 0;

e340..    x339 - b409 =L= 0;

e341..    x340 - b409 =L= 0;

e342..    x341 - b409 =L= 0;

e343..    x342 - b409 =L= 0;

e344..    x343 - b409 =L= 0;

e345..    x344 - b409 =L= 0;

e346..    x345 - b409 =L= 0;

e347..    x346 - b409 =L= 0;

e348..    x347 - b409 =L= 0;

e349..    x348 - b409 =L= 0;

e350..    x349 - b409 =L= 0;

e351..    x350 - b409 =L= 0;

e352..    x351 - b409 =L= 0;

e353..    x352 - b409 =L= 0;

e354..    x353 - b409 =L= 0;

e355..    x354 - b409 =L= 0;

e356..    x355 - b409 =L= 0;

e357..    x356 - b409 =L= 0;

e358..    x357 - b409 =L= 0;

e359..    x358 - b409 =L= 0;

e360..    x359 - b409 =L= 0;

e361..    x360 - b409 =L= 0;

e362..    x361 - b410 =L= 0;

e363..    x362 - b410 =L= 0;

e364..    x363 - b410 =L= 0;

e365..    x364 - b410 =L= 0;

e366..    x365 - b410 =L= 0;

e367..    x366 - b410 =L= 0;

e368..    x367 - b410 =L= 0;

e369..    x368 - b410 =L= 0;

e370..    x369 - b410 =L= 0;

e371..    x370 - b410 =L= 0;

e372..    x371 - b410 =L= 0;

e373..    x372 - b410 =L= 0;

e374..    x373 - b410 =L= 0;

e375..    x374 - b410 =L= 0;

e376..    x375 - b410 =L= 0;

e377..    x376 - b410 =L= 0;

e378..    x377 - b410 =L= 0;

e379..    x378 - b410 =L= 0;

e380..    x379 - b410 =L= 0;

e381..    x380 - b410 =L= 0;

e382..    x381 - b410 =L= 0;

e383..    x382 - b410 =L= 0;

e384..    x383 - b410 =L= 0;

e385..    x384 - b410 =L= 0;

e386..    x385 - b410 =L= 0;

e387..    x386 - b410 =L= 0;

e388..    x387 - b410 =L= 0;

e389..    x388 - b410 =L= 0;

e390..    x389 - b410 =L= 0;

e391..    x390 - b410 =L= 0;

e392..    x391 - b410 =L= 0;

e393..    x392 - b410 =L= 0;

e394..    x393 - b410 =L= 0;

e395..    x394 - b410 =L= 0;

e396..    x395 - b410 =L= 0;

e397..    x396 - b410 =L= 0;

e398..    x397 - b410 =L= 0;

e399..    x398 - b410 =L= 0;

e400..    x399 - b410 =L= 0;

e401..    x400 - b410 =L= 0;

e402..    x1 + x41 + x81 + x121 + x161 + x201 + x241 + x281 + x321 + x361 =E= 1
       ;

e403..    x2 + x42 + x82 + x122 + x162 + x202 + x242 + x282 + x322 + x362 =E= 1
       ;

e404..    x3 + x43 + x83 + x123 + x163 + x203 + x243 + x283 + x323 + x363 =E= 1
       ;

e405..    x4 + x44 + x84 + x124 + x164 + x204 + x244 + x284 + x324 + x364 =E= 1
       ;

e406..    x5 + x45 + x85 + x125 + x165 + x205 + x245 + x285 + x325 + x365 =E= 1
       ;

e407..    x6 + x46 + x86 + x126 + x166 + x206 + x246 + x286 + x326 + x366 =E= 1
       ;

e408..    x7 + x47 + x87 + x127 + x167 + x207 + x247 + x287 + x327 + x367 =E= 1
       ;

e409..    x8 + x48 + x88 + x128 + x168 + x208 + x248 + x288 + x328 + x368 =E= 1
       ;

e410..    x9 + x49 + x89 + x129 + x169 + x209 + x249 + x289 + x329 + x369 =E= 1
       ;

e411..    x10 + x50 + x90 + x130 + x170 + x210 + x250 + x290 + x330 + x370
        =E= 1;

e412..    x11 + x51 + x91 + x131 + x171 + x211 + x251 + x291 + x331 + x371
        =E= 1;

e413..    x12 + x52 + x92 + x132 + x172 + x212 + x252 + x292 + x332 + x372
        =E= 1;

e414..    x13 + x53 + x93 + x133 + x173 + x213 + x253 + x293 + x333 + x373
        =E= 1;

e415..    x14 + x54 + x94 + x134 + x174 + x214 + x254 + x294 + x334 + x374
        =E= 1;

e416..    x15 + x55 + x95 + x135 + x175 + x215 + x255 + x295 + x335 + x375
        =E= 1;

e417..    x16 + x56 + x96 + x136 + x176 + x216 + x256 + x296 + x336 + x376
        =E= 1;

e418..    x17 + x57 + x97 + x137 + x177 + x217 + x257 + x297 + x337 + x377
        =E= 1;

e419..    x18 + x58 + x98 + x138 + x178 + x218 + x258 + x298 + x338 + x378
        =E= 1;

e420..    x19 + x59 + x99 + x139 + x179 + x219 + x259 + x299 + x339 + x379
        =E= 1;

e421..    x20 + x60 + x100 + x140 + x180 + x220 + x260 + x300 + x340 + x380
        =E= 1;

e422..    x21 + x61 + x101 + x141 + x181 + x221 + x261 + x301 + x341 + x381
        =E= 1;

e423..    x22 + x62 + x102 + x142 + x182 + x222 + x262 + x302 + x342 + x382
        =E= 1;

e424..    x23 + x63 + x103 + x143 + x183 + x223 + x263 + x303 + x343 + x383
        =E= 1;

e425..    x24 + x64 + x104 + x144 + x184 + x224 + x264 + x304 + x344 + x384
        =E= 1;

e426..    x25 + x65 + x105 + x145 + x185 + x225 + x265 + x305 + x345 + x385
        =E= 1;

e427..    x26 + x66 + x106 + x146 + x186 + x226 + x266 + x306 + x346 + x386
        =E= 1;

e428..    x27 + x67 + x107 + x147 + x187 + x227 + x267 + x307 + x347 + x387
        =E= 1;

e429..    x28 + x68 + x108 + x148 + x188 + x228 + x268 + x308 + x348 + x388
        =E= 1;

e430..    x29 + x69 + x109 + x149 + x189 + x229 + x269 + x309 + x349 + x389
        =E= 1;

e431..    x30 + x70 + x110 + x150 + x190 + x230 + x270 + x310 + x350 + x390
        =E= 1;

e432..    x31 + x71 + x111 + x151 + x191 + x231 + x271 + x311 + x351 + x391
        =E= 1;

e433..    x32 + x72 + x112 + x152 + x192 + x232 + x272 + x312 + x352 + x392
        =E= 1;

e434..    x33 + x73 + x113 + x153 + x193 + x233 + x273 + x313 + x353 + x393
        =E= 1;

e435..    x34 + x74 + x114 + x154 + x194 + x234 + x274 + x314 + x354 + x394
        =E= 1;

e436..    x35 + x75 + x115 + x155 + x195 + x235 + x275 + x315 + x355 + x395
        =E= 1;

e437..    x36 + x76 + x116 + x156 + x196 + x236 + x276 + x316 + x356 + x396
        =E= 1;

e438..    x37 + x77 + x117 + x157 + x197 + x237 + x277 + x317 + x357 + x397
        =E= 1;

e439..    x38 + x78 + x118 + x158 + x198 + x238 + x278 + x318 + x358 + x398
        =E= 1;

e440..    x39 + x79 + x119 + x159 + x199 + x239 + x279 + x319 + x359 + x399
        =E= 1;

e441..    x40 + x80 + x120 + x160 + x200 + x240 + x280 + x320 + x360 + x400
        =E= 1;

e442.. x1*x1 - x411*b401 =L= 0;

e443.. x2*x2 - x412*b401 =L= 0;

e444.. x3*x3 - x413*b401 =L= 0;

e445.. x4*x4 - x414*b401 =L= 0;

e446.. x5*x5 - x415*b401 =L= 0;

e447.. x6*x6 - x416*b401 =L= 0;

e448.. x7*x7 - x417*b401 =L= 0;

e449.. x8*x8 - x418*b401 =L= 0;

e450.. x9*x9 - x419*b401 =L= 0;

e451.. x10*x10 - x420*b401 =L= 0;

e452.. x11*x11 - x421*b401 =L= 0;

e453.. x12*x12 - x422*b401 =L= 0;

e454.. x13*x13 - x423*b401 =L= 0;

e455.. x14*x14 - x424*b401 =L= 0;

e456.. x15*x15 - x425*b401 =L= 0;

e457.. x16*x16 - x426*b401 =L= 0;

e458.. x17*x17 - x427*b401 =L= 0;

e459.. x18*x18 - x428*b401 =L= 0;

e460.. x19*x19 - x429*b401 =L= 0;

e461.. x20*x20 - x430*b401 =L= 0;

e462.. x21*x21 - x431*b401 =L= 0;

e463.. x22*x22 - x432*b401 =L= 0;

e464.. x23*x23 - x433*b401 =L= 0;

e465.. x24*x24 - x434*b401 =L= 0;

e466.. x25*x25 - x435*b401 =L= 0;

e467.. x26*x26 - x436*b401 =L= 0;

e468.. x27*x27 - x437*b401 =L= 0;

e469.. x28*x28 - x438*b401 =L= 0;

e470.. x29*x29 - x439*b401 =L= 0;

e471.. x30*x30 - x440*b401 =L= 0;

e472.. x31*x31 - x441*b401 =L= 0;

e473.. x32*x32 - x442*b401 =L= 0;

e474.. x33*x33 - x443*b401 =L= 0;

e475.. x34*x34 - x444*b401 =L= 0;

e476.. x35*x35 - x445*b401 =L= 0;

e477.. x36*x36 - x446*b401 =L= 0;

e478.. x37*x37 - x447*b401 =L= 0;

e479.. x38*x38 - x448*b401 =L= 0;

e480.. x39*x39 - x449*b401 =L= 0;

e481.. x40*x40 - x450*b401 =L= 0;

e482.. x41*x41 - x451*b402 =L= 0;

e483.. x42*x42 - x452*b402 =L= 0;

e484.. x43*x43 - x453*b402 =L= 0;

e485.. x44*x44 - x454*b402 =L= 0;

e486.. x45*x45 - x455*b402 =L= 0;

e487.. x46*x46 - x456*b402 =L= 0;

e488.. x47*x47 - x457*b402 =L= 0;

e489.. x48*x48 - x458*b402 =L= 0;

e490.. x49*x49 - x459*b402 =L= 0;

e491.. x50*x50 - x460*b402 =L= 0;

e492.. x51*x51 - x461*b402 =L= 0;

e493.. x52*x52 - x462*b402 =L= 0;

e494.. x53*x53 - x463*b402 =L= 0;

e495.. x54*x54 - x464*b402 =L= 0;

e496.. x55*x55 - x465*b402 =L= 0;

e497.. x56*x56 - x466*b402 =L= 0;

e498.. x57*x57 - x467*b402 =L= 0;

e499.. x58*x58 - x468*b402 =L= 0;

e500.. x59*x59 - x469*b402 =L= 0;

e501.. x60*x60 - x470*b402 =L= 0;

e502.. x61*x61 - x471*b402 =L= 0;

e503.. x62*x62 - x472*b402 =L= 0;

e504.. x63*x63 - x473*b402 =L= 0;

e505.. x64*x64 - x474*b402 =L= 0;

e506.. x65*x65 - x475*b402 =L= 0;

e507.. x66*x66 - x476*b402 =L= 0;

e508.. x67*x67 - x477*b402 =L= 0;

e509.. x68*x68 - x478*b402 =L= 0;

e510.. x69*x69 - x479*b402 =L= 0;

e511.. x70*x70 - x480*b402 =L= 0;

e512.. x71*x71 - x481*b402 =L= 0;

e513.. x72*x72 - x482*b402 =L= 0;

e514.. x73*x73 - x483*b402 =L= 0;

e515.. x74*x74 - x484*b402 =L= 0;

e516.. x75*x75 - x485*b402 =L= 0;

e517.. x76*x76 - x486*b402 =L= 0;

e518.. x77*x77 - x487*b402 =L= 0;

e519.. x78*x78 - x488*b402 =L= 0;

e520.. x79*x79 - x489*b402 =L= 0;

e521.. x80*x80 - x490*b402 =L= 0;

e522.. x81*x81 - x491*b403 =L= 0;

e523.. x82*x82 - x492*b403 =L= 0;

e524.. x83*x83 - x493*b403 =L= 0;

e525.. x84*x84 - x494*b403 =L= 0;

e526.. x85*x85 - x495*b403 =L= 0;

e527.. x86*x86 - x496*b403 =L= 0;

e528.. x87*x87 - x497*b403 =L= 0;

e529.. x88*x88 - x498*b403 =L= 0;

e530.. x89*x89 - x499*b403 =L= 0;

e531.. x90*x90 - x500*b403 =L= 0;

e532.. x91*x91 - x501*b403 =L= 0;

e533.. x92*x92 - x502*b403 =L= 0;

e534.. x93*x93 - x503*b403 =L= 0;

e535.. x94*x94 - x504*b403 =L= 0;

e536.. x95*x95 - x505*b403 =L= 0;

e537.. x96*x96 - x506*b403 =L= 0;

e538.. x97*x97 - x507*b403 =L= 0;

e539.. x98*x98 - x508*b403 =L= 0;

e540.. x99*x99 - x509*b403 =L= 0;

e541.. x100*x100 - x510*b403 =L= 0;

e542.. x101*x101 - x511*b403 =L= 0;

e543.. x102*x102 - x512*b403 =L= 0;

e544.. x103*x103 - x513*b403 =L= 0;

e545.. x104*x104 - x514*b403 =L= 0;

e546.. x105*x105 - x515*b403 =L= 0;

e547.. x106*x106 - x516*b403 =L= 0;

e548.. x107*x107 - x517*b403 =L= 0;

e549.. x108*x108 - x518*b403 =L= 0;

e550.. x109*x109 - x519*b403 =L= 0;

e551.. x110*x110 - x520*b403 =L= 0;

e552.. x111*x111 - x521*b403 =L= 0;

e553.. x112*x112 - x522*b403 =L= 0;

e554.. x113*x113 - x523*b403 =L= 0;

e555.. x114*x114 - x524*b403 =L= 0;

e556.. x115*x115 - x525*b403 =L= 0;

e557.. x116*x116 - x526*b403 =L= 0;

e558.. x117*x117 - x527*b403 =L= 0;

e559.. x118*x118 - x528*b403 =L= 0;

e560.. x119*x119 - x529*b403 =L= 0;

e561.. x120*x120 - x530*b403 =L= 0;

e562.. x121*x121 - x531*b404 =L= 0;

e563.. x122*x122 - x532*b404 =L= 0;

e564.. x123*x123 - x533*b404 =L= 0;

e565.. x124*x124 - x534*b404 =L= 0;

e566.. x125*x125 - x535*b404 =L= 0;

e567.. x126*x126 - x536*b404 =L= 0;

e568.. x127*x127 - x537*b404 =L= 0;

e569.. x128*x128 - x538*b404 =L= 0;

e570.. x129*x129 - x539*b404 =L= 0;

e571.. x130*x130 - x540*b404 =L= 0;

e572.. x131*x131 - x541*b404 =L= 0;

e573.. x132*x132 - x542*b404 =L= 0;

e574.. x133*x133 - x543*b404 =L= 0;

e575.. x134*x134 - x544*b404 =L= 0;

e576.. x135*x135 - x545*b404 =L= 0;

e577.. x136*x136 - x546*b404 =L= 0;

e578.. x137*x137 - x547*b404 =L= 0;

e579.. x138*x138 - x548*b404 =L= 0;

e580.. x139*x139 - x549*b404 =L= 0;

e581.. x140*x140 - x550*b404 =L= 0;

e582.. x141*x141 - x551*b404 =L= 0;

e583.. x142*x142 - x552*b404 =L= 0;

e584.. x143*x143 - x553*b404 =L= 0;

e585.. x144*x144 - x554*b404 =L= 0;

e586.. x145*x145 - x555*b404 =L= 0;

e587.. x146*x146 - x556*b404 =L= 0;

e588.. x147*x147 - x557*b404 =L= 0;

e589.. x148*x148 - x558*b404 =L= 0;

e590.. x149*x149 - x559*b404 =L= 0;

e591.. x150*x150 - x560*b404 =L= 0;

e592.. x151*x151 - x561*b404 =L= 0;

e593.. x152*x152 - x562*b404 =L= 0;

e594.. x153*x153 - x563*b404 =L= 0;

e595.. x154*x154 - x564*b404 =L= 0;

e596.. x155*x155 - x565*b404 =L= 0;

e597.. x156*x156 - x566*b404 =L= 0;

e598.. x157*x157 - x567*b404 =L= 0;

e599.. x158*x158 - x568*b404 =L= 0;

e600.. x159*x159 - x569*b404 =L= 0;

e601.. x160*x160 - x570*b404 =L= 0;

e602.. x161*x161 - x571*b405 =L= 0;

e603.. x162*x162 - x572*b405 =L= 0;

e604.. x163*x163 - x573*b405 =L= 0;

e605.. x164*x164 - x574*b405 =L= 0;

e606.. x165*x165 - x575*b405 =L= 0;

e607.. x166*x166 - x576*b405 =L= 0;

e608.. x167*x167 - x577*b405 =L= 0;

e609.. x168*x168 - x578*b405 =L= 0;

e610.. x169*x169 - x579*b405 =L= 0;

e611.. x170*x170 - x580*b405 =L= 0;

e612.. x171*x171 - x581*b405 =L= 0;

e613.. x172*x172 - x582*b405 =L= 0;

e614.. x173*x173 - x583*b405 =L= 0;

e615.. x174*x174 - x584*b405 =L= 0;

e616.. x175*x175 - x585*b405 =L= 0;

e617.. x176*x176 - x586*b405 =L= 0;

e618.. x177*x177 - x587*b405 =L= 0;

e619.. x178*x178 - x588*b405 =L= 0;

e620.. x179*x179 - x589*b405 =L= 0;

e621.. x180*x180 - x590*b405 =L= 0;

e622.. x181*x181 - x591*b405 =L= 0;

e623.. x182*x182 - x592*b405 =L= 0;

e624.. x183*x183 - x593*b405 =L= 0;

e625.. x184*x184 - x594*b405 =L= 0;

e626.. x185*x185 - x595*b405 =L= 0;

e627.. x186*x186 - x596*b405 =L= 0;

e628.. x187*x187 - x597*b405 =L= 0;

e629.. x188*x188 - x598*b405 =L= 0;

e630.. x189*x189 - x599*b405 =L= 0;

e631.. x190*x190 - x600*b405 =L= 0;

e632.. x191*x191 - x601*b405 =L= 0;

e633.. x192*x192 - x602*b405 =L= 0;

e634.. x193*x193 - x603*b405 =L= 0;

e635.. x194*x194 - x604*b405 =L= 0;

e636.. x195*x195 - x605*b405 =L= 0;

e637.. x196*x196 - x606*b405 =L= 0;

e638.. x197*x197 - x607*b405 =L= 0;

e639.. x198*x198 - x608*b405 =L= 0;

e640.. x199*x199 - x609*b405 =L= 0;

e641.. x200*x200 - x610*b405 =L= 0;

e642.. x201*x201 - x611*b406 =L= 0;

e643.. x202*x202 - x612*b406 =L= 0;

e644.. x203*x203 - x613*b406 =L= 0;

e645.. x204*x204 - x614*b406 =L= 0;

e646.. x205*x205 - x615*b406 =L= 0;

e647.. x206*x206 - x616*b406 =L= 0;

e648.. x207*x207 - x617*b406 =L= 0;

e649.. x208*x208 - x618*b406 =L= 0;

e650.. x209*x209 - x619*b406 =L= 0;

e651.. x210*x210 - x620*b406 =L= 0;

e652.. x211*x211 - x621*b406 =L= 0;

e653.. x212*x212 - x622*b406 =L= 0;

e654.. x213*x213 - x623*b406 =L= 0;

e655.. x214*x214 - x624*b406 =L= 0;

e656.. x215*x215 - x625*b406 =L= 0;

e657.. x216*x216 - x626*b406 =L= 0;

e658.. x217*x217 - x627*b406 =L= 0;

e659.. x218*x218 - x628*b406 =L= 0;

e660.. x219*x219 - x629*b406 =L= 0;

e661.. x220*x220 - x630*b406 =L= 0;

e662.. x221*x221 - x631*b406 =L= 0;

e663.. x222*x222 - x632*b406 =L= 0;

e664.. x223*x223 - x633*b406 =L= 0;

e665.. x224*x224 - x634*b406 =L= 0;

e666.. x225*x225 - x635*b406 =L= 0;

e667.. x226*x226 - x636*b406 =L= 0;

e668.. x227*x227 - x637*b406 =L= 0;

e669.. x228*x228 - x638*b406 =L= 0;

e670.. x229*x229 - x639*b406 =L= 0;

e671.. x230*x230 - x640*b406 =L= 0;

e672.. x231*x231 - x641*b406 =L= 0;

e673.. x232*x232 - x642*b406 =L= 0;

e674.. x233*x233 - x643*b406 =L= 0;

e675.. x234*x234 - x644*b406 =L= 0;

e676.. x235*x235 - x645*b406 =L= 0;

e677.. x236*x236 - x646*b406 =L= 0;

e678.. x237*x237 - x647*b406 =L= 0;

e679.. x238*x238 - x648*b406 =L= 0;

e680.. x239*x239 - x649*b406 =L= 0;

e681.. x240*x240 - x650*b406 =L= 0;

e682.. x241*x241 - x651*b407 =L= 0;

e683.. x242*x242 - x652*b407 =L= 0;

e684.. x243*x243 - x653*b407 =L= 0;

e685.. x244*x244 - x654*b407 =L= 0;

e686.. x245*x245 - x655*b407 =L= 0;

e687.. x246*x246 - x656*b407 =L= 0;

e688.. x247*x247 - x657*b407 =L= 0;

e689.. x248*x248 - x658*b407 =L= 0;

e690.. x249*x249 - x659*b407 =L= 0;

e691.. x250*x250 - x660*b407 =L= 0;

e692.. x251*x251 - x661*b407 =L= 0;

e693.. x252*x252 - x662*b407 =L= 0;

e694.. x253*x253 - x663*b407 =L= 0;

e695.. x254*x254 - x664*b407 =L= 0;

e696.. x255*x255 - x665*b407 =L= 0;

e697.. x256*x256 - x666*b407 =L= 0;

e698.. x257*x257 - x667*b407 =L= 0;

e699.. x258*x258 - x668*b407 =L= 0;

e700.. x259*x259 - x669*b407 =L= 0;

e701.. x260*x260 - x670*b407 =L= 0;

e702.. x261*x261 - x671*b407 =L= 0;

e703.. x262*x262 - x672*b407 =L= 0;

e704.. x263*x263 - x673*b407 =L= 0;

e705.. x264*x264 - x674*b407 =L= 0;

e706.. x265*x265 - x675*b407 =L= 0;

e707.. x266*x266 - x676*b407 =L= 0;

e708.. x267*x267 - x677*b407 =L= 0;

e709.. x268*x268 - x678*b407 =L= 0;

e710.. x269*x269 - x679*b407 =L= 0;

e711.. x270*x270 - x680*b407 =L= 0;

e712.. x271*x271 - x681*b407 =L= 0;

e713.. x272*x272 - x682*b407 =L= 0;

e714.. x273*x273 - x683*b407 =L= 0;

e715.. x274*x274 - x684*b407 =L= 0;

e716.. x275*x275 - x685*b407 =L= 0;

e717.. x276*x276 - x686*b407 =L= 0;

e718.. x277*x277 - x687*b407 =L= 0;

e719.. x278*x278 - x688*b407 =L= 0;

e720.. x279*x279 - x689*b407 =L= 0;

e721.. x280*x280 - x690*b407 =L= 0;

e722.. x281*x281 - x691*b408 =L= 0;

e723.. x282*x282 - x692*b408 =L= 0;

e724.. x283*x283 - x693*b408 =L= 0;

e725.. x284*x284 - x694*b408 =L= 0;

e726.. x285*x285 - x695*b408 =L= 0;

e727.. x286*x286 - x696*b408 =L= 0;

e728.. x287*x287 - x697*b408 =L= 0;

e729.. x288*x288 - x698*b408 =L= 0;

e730.. x289*x289 - x699*b408 =L= 0;

e731.. x290*x290 - x700*b408 =L= 0;

e732.. x291*x291 - x701*b408 =L= 0;

e733.. x292*x292 - x702*b408 =L= 0;

e734.. x293*x293 - x703*b408 =L= 0;

e735.. x294*x294 - x704*b408 =L= 0;

e736.. x295*x295 - x705*b408 =L= 0;

e737.. x296*x296 - x706*b408 =L= 0;

e738.. x297*x297 - x707*b408 =L= 0;

e739.. x298*x298 - x708*b408 =L= 0;

e740.. x299*x299 - x709*b408 =L= 0;

e741.. x300*x300 - x710*b408 =L= 0;

e742.. x301*x301 - x711*b408 =L= 0;

e743.. x302*x302 - x712*b408 =L= 0;

e744.. x303*x303 - x713*b408 =L= 0;

e745.. x304*x304 - x714*b408 =L= 0;

e746.. x305*x305 - x715*b408 =L= 0;

e747.. x306*x306 - x716*b408 =L= 0;

e748.. x307*x307 - x717*b408 =L= 0;

e749.. x308*x308 - x718*b408 =L= 0;

e750.. x309*x309 - x719*b408 =L= 0;

e751.. x310*x310 - x720*b408 =L= 0;

e752.. x311*x311 - x721*b408 =L= 0;

e753.. x312*x312 - x722*b408 =L= 0;

e754.. x313*x313 - x723*b408 =L= 0;

e755.. x314*x314 - x724*b408 =L= 0;

e756.. x315*x315 - x725*b408 =L= 0;

e757.. x316*x316 - x726*b408 =L= 0;

e758.. x317*x317 - x727*b408 =L= 0;

e759.. x318*x318 - x728*b408 =L= 0;

e760.. x319*x319 - x729*b408 =L= 0;

e761.. x320*x320 - x730*b408 =L= 0;

e762.. x321*x321 - x731*b409 =L= 0;

e763.. x322*x322 - x732*b409 =L= 0;

e764.. x323*x323 - x733*b409 =L= 0;

e765.. x324*x324 - x734*b409 =L= 0;

e766.. x325*x325 - x735*b409 =L= 0;

e767.. x326*x326 - x736*b409 =L= 0;

e768.. x327*x327 - x737*b409 =L= 0;

e769.. x328*x328 - x738*b409 =L= 0;

e770.. x329*x329 - x739*b409 =L= 0;

e771.. x330*x330 - x740*b409 =L= 0;

e772.. x331*x331 - x741*b409 =L= 0;

e773.. x332*x332 - x742*b409 =L= 0;

e774.. x333*x333 - x743*b409 =L= 0;

e775.. x334*x334 - x744*b409 =L= 0;

e776.. x335*x335 - x745*b409 =L= 0;

e777.. x336*x336 - x746*b409 =L= 0;

e778.. x337*x337 - x747*b409 =L= 0;

e779.. x338*x338 - x748*b409 =L= 0;

e780.. x339*x339 - x749*b409 =L= 0;

e781.. x340*x340 - x750*b409 =L= 0;

e782.. x341*x341 - x751*b409 =L= 0;

e783.. x342*x342 - x752*b409 =L= 0;

e784.. x343*x343 - x753*b409 =L= 0;

e785.. x344*x344 - x754*b409 =L= 0;

e786.. x345*x345 - x755*b409 =L= 0;

e787.. x346*x346 - x756*b409 =L= 0;

e788.. x347*x347 - x757*b409 =L= 0;

e789.. x348*x348 - x758*b409 =L= 0;

e790.. x349*x349 - x759*b409 =L= 0;

e791.. x350*x350 - x760*b409 =L= 0;

e792.. x351*x351 - x761*b409 =L= 0;

e793.. x352*x352 - x762*b409 =L= 0;

e794.. x353*x353 - x763*b409 =L= 0;

e795.. x354*x354 - x764*b409 =L= 0;

e796.. x355*x355 - x765*b409 =L= 0;

e797.. x356*x356 - x766*b409 =L= 0;

e798.. x357*x357 - x767*b409 =L= 0;

e799.. x358*x358 - x768*b409 =L= 0;

e800.. x359*x359 - x769*b409 =L= 0;

e801.. x360*x360 - x770*b409 =L= 0;

e802.. x361*x361 - x771*b410 =L= 0;

e803.. x362*x362 - x772*b410 =L= 0;

e804.. x363*x363 - x773*b410 =L= 0;

e805.. x364*x364 - x774*b410 =L= 0;

e806.. x365*x365 - x775*b410 =L= 0;

e807.. x366*x366 - x776*b410 =L= 0;

e808.. x367*x367 - x777*b410 =L= 0;

e809.. x368*x368 - x778*b410 =L= 0;

e810.. x369*x369 - x779*b410 =L= 0;

e811.. x370*x370 - x780*b410 =L= 0;

e812.. x371*x371 - x781*b410 =L= 0;

e813.. x372*x372 - x782*b410 =L= 0;

e814.. x373*x373 - x783*b410 =L= 0;

e815.. x374*x374 - x784*b410 =L= 0;

e816.. x375*x375 - x785*b410 =L= 0;

e817.. x376*x376 - x786*b410 =L= 0;

e818.. x377*x377 - x787*b410 =L= 0;

e819.. x378*x378 - x788*b410 =L= 0;

e820.. x379*x379 - x789*b410 =L= 0;

e821.. x380*x380 - x790*b410 =L= 0;

e822.. x381*x381 - x791*b410 =L= 0;

e823.. x382*x382 - x792*b410 =L= 0;

e824.. x383*x383 - x793*b410 =L= 0;

e825.. x384*x384 - x794*b410 =L= 0;

e826.. x385*x385 - x795*b410 =L= 0;

e827.. x386*x386 - x796*b410 =L= 0;

e828.. x387*x387 - x797*b410 =L= 0;

e829.. x388*x388 - x798*b410 =L= 0;

e830.. x389*x389 - x799*b410 =L= 0;

e831.. x390*x390 - x800*b410 =L= 0;

e832.. x391*x391 - x801*b410 =L= 0;

e833.. x392*x392 - x802*b410 =L= 0;

e834.. x393*x393 - x803*b410 =L= 0;

e835.. x394*x394 - x804*b410 =L= 0;

e836.. x395*x395 - x805*b410 =L= 0;

e837.. x396*x396 - x806*b410 =L= 0;

e838.. x397*x397 - x807*b410 =L= 0;

e839.. x398*x398 - x808*b410 =L= 0;

e840.. x399*x399 - x809*b410 =L= 0;

e841.. x400*x400 - x810*b410 =L= 0;

* set non-default levels
x1.l = 0.1;
x2.l = 0.1;
x3.l = 0.1;
x4.l = 0.1;
x5.l = 0.1;
x6.l = 0.1;
x7.l = 0.1;
x8.l = 0.1;
x9.l = 0.1;
x10.l = 0.1;
x11.l = 0.1;
x12.l = 0.1;
x13.l = 0.1;
x14.l = 0.1;
x15.l = 0.1;
x16.l = 0.1;
x17.l = 0.1;
x18.l = 0.1;
x19.l = 0.1;
x20.l = 0.1;
x21.l = 0.1;
x22.l = 0.1;
x23.l = 0.1;
x24.l = 0.1;
x25.l = 0.1;
x26.l = 0.1;
x27.l = 0.1;
x28.l = 0.1;
x29.l = 0.1;
x30.l = 0.1;
x31.l = 0.1;
x32.l = 0.1;
x33.l = 0.1;
x34.l = 0.1;
x35.l = 0.1;
x36.l = 0.1;
x37.l = 0.1;
x38.l = 0.1;
x39.l = 0.1;
x40.l = 0.1;
x41.l = 0.1;
x42.l = 0.1;
x43.l = 0.1;
x44.l = 0.1;
x45.l = 0.1;
x46.l = 0.1;
x47.l = 0.1;
x48.l = 0.1;
x49.l = 0.1;
x50.l = 0.1;
x51.l = 0.1;
x52.l = 0.1;
x53.l = 0.1;
x54.l = 0.1;
x55.l = 0.1;
x56.l = 0.1;
x57.l = 0.1;
x58.l = 0.1;
x59.l = 0.1;
x60.l = 0.1;
x61.l = 0.1;
x62.l = 0.1;
x63.l = 0.1;
x64.l = 0.1;
x65.l = 0.1;
x66.l = 0.1;
x67.l = 0.1;
x68.l = 0.1;
x69.l = 0.1;
x70.l = 0.1;
x71.l = 0.1;
x72.l = 0.1;
x73.l = 0.1;
x74.l = 0.1;
x75.l = 0.1;
x76.l = 0.1;
x77.l = 0.1;
x78.l = 0.1;
x79.l = 0.1;
x80.l = 0.1;
x81.l = 0.1;
x82.l = 0.1;
x83.l = 0.1;
x84.l = 0.1;
x85.l = 0.1;
x86.l = 0.1;
x87.l = 0.1;
x88.l = 0.1;
x89.l = 0.1;
x90.l = 0.1;
x91.l = 0.1;
x92.l = 0.1;
x93.l = 0.1;
x94.l = 0.1;
x95.l = 0.1;
x96.l = 0.1;
x97.l = 0.1;
x98.l = 0.1;
x99.l = 0.1;
x100.l = 0.1;
x101.l = 0.1;
x102.l = 0.1;
x103.l = 0.1;
x104.l = 0.1;
x105.l = 0.1;
x106.l = 0.1;
x107.l = 0.1;
x108.l = 0.1;
x109.l = 0.1;
x110.l = 0.1;
x111.l = 0.1;
x112.l = 0.1;
x113.l = 0.1;
x114.l = 0.1;
x115.l = 0.1;
x116.l = 0.1;
x117.l = 0.1;
x118.l = 0.1;
x119.l = 0.1;
x120.l = 0.1;
x121.l = 0.1;
x122.l = 0.1;
x123.l = 0.1;
x124.l = 0.1;
x125.l = 0.1;
x126.l = 0.1;
x127.l = 0.1;
x128.l = 0.1;
x129.l = 0.1;
x130.l = 0.1;
x131.l = 0.1;
x132.l = 0.1;
x133.l = 0.1;
x134.l = 0.1;
x135.l = 0.1;
x136.l = 0.1;
x137.l = 0.1;
x138.l = 0.1;
x139.l = 0.1;
x140.l = 0.1;
x141.l = 0.1;
x142.l = 0.1;
x143.l = 0.1;
x144.l = 0.1;
x145.l = 0.1;
x146.l = 0.1;
x147.l = 0.1;
x148.l = 0.1;
x149.l = 0.1;
x150.l = 0.1;
x151.l = 0.1;
x152.l = 0.1;
x153.l = 0.1;
x154.l = 0.1;
x155.l = 0.1;
x156.l = 0.1;
x157.l = 0.1;
x158.l = 0.1;
x159.l = 0.1;
x160.l = 0.1;
x161.l = 0.1;
x162.l = 0.1;
x163.l = 0.1;
x164.l = 0.1;
x165.l = 0.1;
x166.l = 0.1;
x167.l = 0.1;
x168.l = 0.1;
x169.l = 0.1;
x170.l = 0.1;
x171.l = 0.1;
x172.l = 0.1;
x173.l = 0.1;
x174.l = 0.1;
x175.l = 0.1;
x176.l = 0.1;
x177.l = 0.1;
x178.l = 0.1;
x179.l = 0.1;
x180.l = 0.1;
x181.l = 0.1;
x182.l = 0.1;
x183.l = 0.1;
x184.l = 0.1;
x185.l = 0.1;
x186.l = 0.1;
x187.l = 0.1;
x188.l = 0.1;
x189.l = 0.1;
x190.l = 0.1;
x191.l = 0.1;
x192.l = 0.1;
x193.l = 0.1;
x194.l = 0.1;
x195.l = 0.1;
x196.l = 0.1;
x197.l = 0.1;
x198.l = 0.1;
x199.l = 0.1;
x200.l = 0.1;
x201.l = 0.1;
x202.l = 0.1;
x203.l = 0.1;
x204.l = 0.1;
x205.l = 0.1;
x206.l = 0.1;
x207.l = 0.1;
x208.l = 0.1;
x209.l = 0.1;
x210.l = 0.1;
x211.l = 0.1;
x212.l = 0.1;
x213.l = 0.1;
x214.l = 0.1;
x215.l = 0.1;
x216.l = 0.1;
x217.l = 0.1;
x218.l = 0.1;
x219.l = 0.1;
x220.l = 0.1;
x221.l = 0.1;
x222.l = 0.1;
x223.l = 0.1;
x224.l = 0.1;
x225.l = 0.1;
x226.l = 0.1;
x227.l = 0.1;
x228.l = 0.1;
x229.l = 0.1;
x230.l = 0.1;
x231.l = 0.1;
x232.l = 0.1;
x233.l = 0.1;
x234.l = 0.1;
x235.l = 0.1;
x236.l = 0.1;
x237.l = 0.1;
x238.l = 0.1;
x239.l = 0.1;
x240.l = 0.1;
x241.l = 0.1;
x242.l = 0.1;
x243.l = 0.1;
x244.l = 0.1;
x245.l = 0.1;
x246.l = 0.1;
x247.l = 0.1;
x248.l = 0.1;
x249.l = 0.1;
x250.l = 0.1;
x251.l = 0.1;
x252.l = 0.1;
x253.l = 0.1;
x254.l = 0.1;
x255.l = 0.1;
x256.l = 0.1;
x257.l = 0.1;
x258.l = 0.1;
x259.l = 0.1;
x260.l = 0.1;
x261.l = 0.1;
x262.l = 0.1;
x263.l = 0.1;
x264.l = 0.1;
x265.l = 0.1;
x266.l = 0.1;
x267.l = 0.1;
x268.l = 0.1;
x269.l = 0.1;
x270.l = 0.1;
x271.l = 0.1;
x272.l = 0.1;
x273.l = 0.1;
x274.l = 0.1;
x275.l = 0.1;
x276.l = 0.1;
x277.l = 0.1;
x278.l = 0.1;
x279.l = 0.1;
x280.l = 0.1;
x281.l = 0.1;
x282.l = 0.1;
x283.l = 0.1;
x284.l = 0.1;
x285.l = 0.1;
x286.l = 0.1;
x287.l = 0.1;
x288.l = 0.1;
x289.l = 0.1;
x290.l = 0.1;
x291.l = 0.1;
x292.l = 0.1;
x293.l = 0.1;
x294.l = 0.1;
x295.l = 0.1;
x296.l = 0.1;
x297.l = 0.1;
x298.l = 0.1;
x299.l = 0.1;
x300.l = 0.1;
x301.l = 0.1;
x302.l = 0.1;
x303.l = 0.1;
x304.l = 0.1;
x305.l = 0.1;
x306.l = 0.1;
x307.l = 0.1;
x308.l = 0.1;
x309.l = 0.1;
x310.l = 0.1;
x311.l = 0.1;
x312.l = 0.1;
x313.l = 0.1;
x314.l = 0.1;
x315.l = 0.1;
x316.l = 0.1;
x317.l = 0.1;
x318.l = 0.1;
x319.l = 0.1;
x320.l = 0.1;
x321.l = 0.1;
x322.l = 0.1;
x323.l = 0.1;
x324.l = 0.1;
x325.l = 0.1;
x326.l = 0.1;
x327.l = 0.1;
x328.l = 0.1;
x329.l = 0.1;
x330.l = 0.1;
x331.l = 0.1;
x332.l = 0.1;
x333.l = 0.1;
x334.l = 0.1;
x335.l = 0.1;
x336.l = 0.1;
x337.l = 0.1;
x338.l = 0.1;
x339.l = 0.1;
x340.l = 0.1;
x341.l = 0.1;
x342.l = 0.1;
x343.l = 0.1;
x344.l = 0.1;
x345.l = 0.1;
x346.l = 0.1;
x347.l = 0.1;
x348.l = 0.1;
x349.l = 0.1;
x350.l = 0.1;
x351.l = 0.1;
x352.l = 0.1;
x353.l = 0.1;
x354.l = 0.1;
x355.l = 0.1;
x356.l = 0.1;
x357.l = 0.1;
x358.l = 0.1;
x359.l = 0.1;
x360.l = 0.1;
x361.l = 0.1;
x362.l = 0.1;
x363.l = 0.1;
x364.l = 0.1;
x365.l = 0.1;
x366.l = 0.1;
x367.l = 0.1;
x368.l = 0.1;
x369.l = 0.1;
x370.l = 0.1;
x371.l = 0.1;
x372.l = 0.1;
x373.l = 0.1;
x374.l = 0.1;
x375.l = 0.1;
x376.l = 0.1;
x377.l = 0.1;
x378.l = 0.1;
x379.l = 0.1;
x380.l = 0.1;
x381.l = 0.1;
x382.l = 0.1;
x383.l = 0.1;
x384.l = 0.1;
x385.l = 0.1;
x386.l = 0.1;
x387.l = 0.1;
x388.l = 0.1;
x389.l = 0.1;
x390.l = 0.1;
x391.l = 0.1;
x392.l = 0.1;
x393.l = 0.1;
x394.l = 0.1;
x395.l = 0.1;
x396.l = 0.1;
x397.l = 0.1;
x398.l = 0.1;
x399.l = 0.1;
x400.l = 0.1;
b401.l = 0.1;
b402.l = 0.1;
b403.l = 0.1;
b404.l = 0.1;
b405.l = 0.1;
b406.l = 0.1;
b407.l = 0.1;
b408.l = 0.1;
b409.l = 0.1;
b410.l = 0.1;
x411.l = 0.01;
x412.l = 0.01;
x413.l = 0.01;
x414.l = 0.01;
x415.l = 0.01;
x416.l = 0.01;
x417.l = 0.01;
x418.l = 0.01;
x419.l = 0.01;
x420.l = 0.01;
x421.l = 0.01;
x422.l = 0.01;
x423.l = 0.01;
x424.l = 0.01;
x425.l = 0.01;
x426.l = 0.01;
x427.l = 0.01;
x428.l = 0.01;
x429.l = 0.01;
x430.l = 0.01;
x431.l = 0.01;
x432.l = 0.01;
x433.l = 0.01;
x434.l = 0.01;
x435.l = 0.01;
x436.l = 0.01;
x437.l = 0.01;
x438.l = 0.01;
x439.l = 0.01;
x440.l = 0.01;
x441.l = 0.01;
x442.l = 0.01;
x443.l = 0.01;
x444.l = 0.01;
x445.l = 0.01;
x446.l = 0.01;
x447.l = 0.01;
x448.l = 0.01;
x449.l = 0.01;
x450.l = 0.01;
x451.l = 0.01;
x452.l = 0.01;
x453.l = 0.01;
x454.l = 0.01;
x455.l = 0.01;
x456.l = 0.01;
x457.l = 0.01;
x458.l = 0.01;
x459.l = 0.01;
x460.l = 0.01;
x461.l = 0.01;
x462.l = 0.01;
x463.l = 0.01;
x464.l = 0.01;
x465.l = 0.01;
x466.l = 0.01;
x467.l = 0.01;
x468.l = 0.01;
x469.l = 0.01;
x470.l = 0.01;
x471.l = 0.01;
x472.l = 0.01;
x473.l = 0.01;
x474.l = 0.01;
x475.l = 0.01;
x476.l = 0.01;
x477.l = 0.01;
x478.l = 0.01;
x479.l = 0.01;
x480.l = 0.01;
x481.l = 0.01;
x482.l = 0.01;
x483.l = 0.01;
x484.l = 0.01;
x485.l = 0.01;
x486.l = 0.01;
x487.l = 0.01;
x488.l = 0.01;
x489.l = 0.01;
x490.l = 0.01;
x491.l = 0.01;
x492.l = 0.01;
x493.l = 0.01;
x494.l = 0.01;
x495.l = 0.01;
x496.l = 0.01;
x497.l = 0.01;
x498.l = 0.01;
x499.l = 0.01;
x500.l = 0.01;
x501.l = 0.01;
x502.l = 0.01;
x503.l = 0.01;
x504.l = 0.01;
x505.l = 0.01;
x506.l = 0.01;
x507.l = 0.01;
x508.l = 0.01;
x509.l = 0.01;
x510.l = 0.01;
x511.l = 0.01;
x512.l = 0.01;
x513.l = 0.01;
x514.l = 0.01;
x515.l = 0.01;
x516.l = 0.01;
x517.l = 0.01;
x518.l = 0.01;
x519.l = 0.01;
x520.l = 0.01;
x521.l = 0.01;
x522.l = 0.01;
x523.l = 0.01;
x524.l = 0.01;
x525.l = 0.01;
x526.l = 0.01;
x527.l = 0.01;
x528.l = 0.01;
x529.l = 0.01;
x530.l = 0.01;
x531.l = 0.01;
x532.l = 0.01;
x533.l = 0.01;
x534.l = 0.01;
x535.l = 0.01;
x536.l = 0.01;
x537.l = 0.01;
x538.l = 0.01;
x539.l = 0.01;
x540.l = 0.01;
x541.l = 0.01;
x542.l = 0.01;
x543.l = 0.01;
x544.l = 0.01;
x545.l = 0.01;
x546.l = 0.01;
x547.l = 0.01;
x548.l = 0.01;
x549.l = 0.01;
x550.l = 0.01;
x551.l = 0.01;
x552.l = 0.01;
x553.l = 0.01;
x554.l = 0.01;
x555.l = 0.01;
x556.l = 0.01;
x557.l = 0.01;
x558.l = 0.01;
x559.l = 0.01;
x560.l = 0.01;
x561.l = 0.01;
x562.l = 0.01;
x563.l = 0.01;
x564.l = 0.01;
x565.l = 0.01;
x566.l = 0.01;
x567.l = 0.01;
x568.l = 0.01;
x569.l = 0.01;
x570.l = 0.01;
x571.l = 0.01;
x572.l = 0.01;
x573.l = 0.01;
x574.l = 0.01;
x575.l = 0.01;
x576.l = 0.01;
x577.l = 0.01;
x578.l = 0.01;
x579.l = 0.01;
x580.l = 0.01;
x581.l = 0.01;
x582.l = 0.01;
x583.l = 0.01;
x584.l = 0.01;
x585.l = 0.01;
x586.l = 0.01;
x587.l = 0.01;
x588.l = 0.01;
x589.l = 0.01;
x590.l = 0.01;
x591.l = 0.01;
x592.l = 0.01;
x593.l = 0.01;
x594.l = 0.01;
x595.l = 0.01;
x596.l = 0.01;
x597.l = 0.01;
x598.l = 0.01;
x599.l = 0.01;
x600.l = 0.01;
x601.l = 0.01;
x602.l = 0.01;
x603.l = 0.01;
x604.l = 0.01;
x605.l = 0.01;
x606.l = 0.01;
x607.l = 0.01;
x608.l = 0.01;
x609.l = 0.01;
x610.l = 0.01;
x611.l = 0.01;
x612.l = 0.01;
x613.l = 0.01;
x614.l = 0.01;
x615.l = 0.01;
x616.l = 0.01;
x617.l = 0.01;
x618.l = 0.01;
x619.l = 0.01;
x620.l = 0.01;
x621.l = 0.01;
x622.l = 0.01;
x623.l = 0.01;
x624.l = 0.01;
x625.l = 0.01;
x626.l = 0.01;
x627.l = 0.01;
x628.l = 0.01;
x629.l = 0.01;
x630.l = 0.01;
x631.l = 0.01;
x632.l = 0.01;
x633.l = 0.01;
x634.l = 0.01;
x635.l = 0.01;
x636.l = 0.01;
x637.l = 0.01;
x638.l = 0.01;
x639.l = 0.01;
x640.l = 0.01;
x641.l = 0.01;
x642.l = 0.01;
x643.l = 0.01;
x644.l = 0.01;
x645.l = 0.01;
x646.l = 0.01;
x647.l = 0.01;
x648.l = 0.01;
x649.l = 0.01;
x650.l = 0.01;
x651.l = 0.01;
x652.l = 0.01;
x653.l = 0.01;
x654.l = 0.01;
x655.l = 0.01;
x656.l = 0.01;
x657.l = 0.01;
x658.l = 0.01;
x659.l = 0.01;
x660.l = 0.01;
x661.l = 0.01;
x662.l = 0.01;
x663.l = 0.01;
x664.l = 0.01;
x665.l = 0.01;
x666.l = 0.01;
x667.l = 0.01;
x668.l = 0.01;
x669.l = 0.01;
x670.l = 0.01;
x671.l = 0.01;
x672.l = 0.01;
x673.l = 0.01;
x674.l = 0.01;
x675.l = 0.01;
x676.l = 0.01;
x677.l = 0.01;
x678.l = 0.01;
x679.l = 0.01;
x680.l = 0.01;
x681.l = 0.01;
x682.l = 0.01;
x683.l = 0.01;
x684.l = 0.01;
x685.l = 0.01;
x686.l = 0.01;
x687.l = 0.01;
x688.l = 0.01;
x689.l = 0.01;
x690.l = 0.01;
x691.l = 0.01;
x692.l = 0.01;
x693.l = 0.01;
x694.l = 0.01;
x695.l = 0.01;
x696.l = 0.01;
x697.l = 0.01;
x698.l = 0.01;
x699.l = 0.01;
x700.l = 0.01;
x701.l = 0.01;
x702.l = 0.01;
x703.l = 0.01;
x704.l = 0.01;
x705.l = 0.01;
x706.l = 0.01;
x707.l = 0.01;
x708.l = 0.01;
x709.l = 0.01;
x710.l = 0.01;
x711.l = 0.01;
x712.l = 0.01;
x713.l = 0.01;
x714.l = 0.01;
x715.l = 0.01;
x716.l = 0.01;
x717.l = 0.01;
x718.l = 0.01;
x719.l = 0.01;
x720.l = 0.01;
x721.l = 0.01;
x722.l = 0.01;
x723.l = 0.01;
x724.l = 0.01;
x725.l = 0.01;
x726.l = 0.01;
x727.l = 0.01;
x728.l = 0.01;
x729.l = 0.01;
x730.l = 0.01;
x731.l = 0.01;
x732.l = 0.01;
x733.l = 0.01;
x734.l = 0.01;
x735.l = 0.01;
x736.l = 0.01;
x737.l = 0.01;
x738.l = 0.01;
x739.l = 0.01;
x740.l = 0.01;
x741.l = 0.01;
x742.l = 0.01;
x743.l = 0.01;
x744.l = 0.01;
x745.l = 0.01;
x746.l = 0.01;
x747.l = 0.01;
x748.l = 0.01;
x749.l = 0.01;
x750.l = 0.01;
x751.l = 0.01;
x752.l = 0.01;
x753.l = 0.01;
x754.l = 0.01;
x755.l = 0.01;
x756.l = 0.01;
x757.l = 0.01;
x758.l = 0.01;
x759.l = 0.01;
x760.l = 0.01;
x761.l = 0.01;
x762.l = 0.01;
x763.l = 0.01;
x764.l = 0.01;
x765.l = 0.01;
x766.l = 0.01;
x767.l = 0.01;
x768.l = 0.01;
x769.l = 0.01;
x770.l = 0.01;
x771.l = 0.01;
x772.l = 0.01;
x773.l = 0.01;
x774.l = 0.01;
x775.l = 0.01;
x776.l = 0.01;
x777.l = 0.01;
x778.l = 0.01;
x779.l = 0.01;
x780.l = 0.01;
x781.l = 0.01;
x782.l = 0.01;
x783.l = 0.01;
x784.l = 0.01;
x785.l = 0.01;
x786.l = 0.01;
x787.l = 0.01;
x788.l = 0.01;
x789.l = 0.01;
x790.l = 0.01;
x791.l = 0.01;
x792.l = 0.01;
x793.l = 0.01;
x794.l = 0.01;
x795.l = 0.01;
x796.l = 0.01;
x797.l = 0.01;
x798.l = 0.01;
x799.l = 0.01;
x800.l = 0.01;
x801.l = 0.01;
x802.l = 0.01;
x803.l = 0.01;
x804.l = 0.01;
x805.l = 0.01;
x806.l = 0.01;
x807.l = 0.01;
x808.l = 0.01;
x809.l = 0.01;
x810.l = 0.01;

Model m / all /;

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

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

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


Last updated: 2022-08-11 Git hash: f176bd52
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