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)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| 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 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
,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
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e1.. - 62*b401 - 3*b402 - 68*b403 - 19*b404 - 9*b405 - 18*b406 - 48*b407
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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;
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e41.. x40 - b401 =L= 0;
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e44.. x43 - b402 =L= 0;
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e52.. x51 - b402 =L= 0;
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e84.. x83 - b403 =L= 0;
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e88.. x87 - b403 =L= 0;
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e102.. x101 - b403 =L= 0;
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e106.. x105 - b403 =L= 0;
e107.. x106 - b403 =L= 0;
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e119.. x118 - b403 =L= 0;
e120.. x119 - b403 =L= 0;
e121.. x120 - b403 =L= 0;
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e124.. x123 - b404 =L= 0;
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e127.. x126 - b404 =L= 0;
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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: 2025-08-07 Git hash: e62cedfc