MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance squfl010-025persp

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 squfl010-025.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
214.11095250 p1 ( gdx sol )
(infeas: 2e-16)
Other points (infeas > 1e-08)  
Dual Bounds
214.10964270 (ANTIGONE)
214.11095230 (BARON)
214.11086600 (COUENNE)
214.11095250 (CPLEX)
214.11095250 (GUROBI)
214.11095250 (LINDO)
214.11016760 (SCIP)
2.00000000 (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 510
#Binary Variables 10
#Integer Variables 0
#Nonlinear Variables 510
#Nonlinear Binary Variables 10
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 260
#Nonlinear Nonzeros in Objective 0
#Constraints 525
#Linear Constraints 275
#Quadratic Constraints 250
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1500
#Nonlinear Nonzeros in Jacobian 750
#Nonzeros in (Upper-Left) Hessian of Lagrangian 750
#Nonzeros in Diagonal of Hessian of Lagrangian 250
#Blocks in Hessian of Lagrangian 260
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 26
Average blocksize in Hessian of Lagrangian 1.961538
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 9.9000e+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
*        526       26        0      500        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        511      501       10        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1761     1011      750        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,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,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,x261,x262,x263,x264,x265,x266,x267
          ,x268,x269,x270,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280
          ,x281,x282,x283,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293
          ,x294,x295,x296,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306
          ,x307,x308,x309,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319
          ,x320,x321,x322,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332
          ,x333,x334,x335,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345
          ,x346,x347,x348,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358
          ,x359,x360,x361,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371
          ,x372,x373,x374,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384
          ,x385,x386,x387,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397
          ,x398,x399,x400,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410
          ,x411,x412,x413,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423
          ,x424,x425,x426,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436
          ,x437,x438,x439,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449
          ,x450,x451,x452,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462
          ,x463,x464,x465,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475
          ,x476,x477,x478,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488
          ,x489,x490,x491,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501
          ,x502,x503,x504,x505,x506,x507,x508,x509,x510;

Binary Variables  b251,b252,b253,b254,b255,b256,b257,b258,b259,b260;

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;


e1..  - 31*b251 - 99*b252 - 59*b253 - 85*b254 - 31*b255 - 18*b256 - 55*b257
      - 56*b258 - 2*b259 - 42*b260 - 23.5458254446414*x261
      - 18.979955090698*x262 - 40.4475389896435*x263 - 32.3871907368369*x264
      - 5.87832983721956*x265 - 27.7861809155978*x266 - 29.0093260544642*x267
      - 27.8172341004716*x268 - 23.8990137163284*x269 - 31.1572073885704*x270
      - 13.2824851151917*x271 - 33.2405661163705*x272 - 11.9226979325457*x273
      - 20.4359563497062*x274 - 24.448648939004*x275 - 18.4191355125177*x276
      - 39.1206587833304*x277 - 10.0203431071565*x278 - 19.3631588126017*x279
      - 23.3360726377184*x280 - 28.9471017656799*x281 - 11.4841952994712*x282
      - 6.08794717116601*x283 - 23.4037893982626*x284 - 23.6180996877181*x285
      - 30.4354193350913*x286 - 40.4712603455849*x287 - 36.2213094971555*x288
      - 5.60976290451329*x289 - 23.1725988276517*x290 - 20.1796238073169*x291
      - 4.57861955410779*x292 - 30.5653982993017*x293 - 50.4967526356669*x294
      - 8.28478358470783*x295 - 25.018545195819*x296 - 12.6329611025149*x297
      - 27.6454711698144*x298 - 33.9905967791569*x299 - 6.07228540920208*x300
      - 37.4354673126797*x301 - 37.4709444132233*x302 - 35.7354026371941*x303
      - 22.4419684331029*x304 - 32.5374941409*x305 - 15.9337490518623*x306
      - 39.6539821536571*x307 - 34.007214287844*x308 - 31.9891521836171*x309
      - 11.3076337580825*x310 - 48.8107919790236*x311 - 16.5702835116504*x312
      - 17.1831503223043*x313 - 35.1142641830025*x314 - 29.1350141677348*x315
      - 47.6949431536515*x316 - 32.149139849139*x317 - 52.2374267154665*x318
      - 29.9609434870647*x319 - 42.6183607184712*x320 - 38.2238650857062*x321
      - 29.3601737959953*x322 - 15.0635022726005*x323 - 47.0245320338646*x324
      - 29.0759225713501*x325 - 13.0424768501865*x326 - 14.4753873350758*x327
      - 22.3704949637257*x328 - 42.3038766759241*x329 - 49.2326533720743*x330
      - 46.1780910030554*x331 - 29.881771182396*x332 - 30.5553734434501*x333
      - 3.7922842075966*x334 - 39.37658717414*x335 - 38.4041161777079*x336
      - 25.9812660558023*x337 - 20.5750893036448*x338 - 18.2591550063973*x339
      - 21.315708405139*x340 - 33.6312833302058*x341 - 15.2250454251428*x342
      - 40.6998421656809*x343 - 38.4406211511874*x344 - 26.1744753218587*x345
      - 28.8520619191213*x346 - 13.6877901486106*x347 - 14.6611183170587*x348
      - 38.8217787386064*x349 - 12.3633235324976*x350 - 22.2787064512218*x351
      - 20.7514901250986*x352 - 25.2034704837712*x353 - 30.6376270730567*x354
      - 39.5843101734575*x355 - 31.1038558069605*x356 - 31.6979288753493*x357
      - 28.645307801904*x358 - 14.1025463900177*x359 - 24.4462384012991*x360
      - 23.9588130600444*x361 - 37.2092218308638*x362 - 38.9284967423033*x363
      - 12.2912287240524*x364 - 17.3040001983168*x365 - 15.1907239390981*x366
      - 10.214640056875*x367 - 24.5444413988224*x368 - 45.991792998601*x369
      - 8.80808064222724*x370 - 18.2698135895014*x371 - 18.0129352025772*x372
      - 24.5906708393765*x373 - 27.2479130814562*x374 - 8.14284930897828*x375
      - 34.6101764845155*x376 - 39.6172338889732*x377 - 31.2334618018089*x378
      - 15.8448912894477*x379 - 25.9622870070524*x380 - 12.0380295338836*x381
      - 34.2734923291195*x382 - 28.2417522551125*x383 - 31.2100255255497*x384
      - 5.69874151661421*x385 - 20.1924959476585*x386 - 25.1047390556883*x387
      - 50.8540191789234*x388 - 40.7654848119428*x389 - 13.1660129719096*x390
      - 29.3477563113135*x391 - 37.623504079514*x392 - 25.0512445521536*x393
      - 24.194699080593*x394 - 36.8817798615649*x395 - 13.4670522383906*x396
      - 42.8355399696766*x397 - 21.9449104264389*x398 - 14.6179503747045*x399
      - 33.2656663596617*x400 - 25.9752193871067*x401 - 49.3747299640844*x402
      - 15.5177231557714*x403 - 19.9897426371933*x404 - 18.8657675463725*x405
      - 32.1150351106216*x406 - 10.6354802846521*x407 - 6.03289686797428*x408
      - 33.2130951842154*x409 - 28.5459989363559*x410 - 27.1814982971647*x411
      - 17.4732774311302*x412 - 45.7430205440514*x413 - 41.078689482825*x414
      - 14.0894075046248*x415 - 34.4518041752158*x416 - 37.6827979486941*x417
      - 31.9402692210917*x418 - 17.176342113498*x419 - 39.5175600805753*x420
      - 18.6428109082815*x421 - 41.5887207579041*x422 - 16.8382070886681*x423
      - 22.1667280473665*x424 - 33.1071436309494*x425 - 18.7491083157469*x426
      - 43.8897007571818*x427 - 8.18685938107562*x428 - 25.3225669621538*x429
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      + objvar =E= 0;

e2..    x1 - b251 =L= 0;

e3..    x2 - b251 =L= 0;

e4..    x3 - b251 =L= 0;

e5..    x4 - b251 =L= 0;

e6..    x5 - b251 =L= 0;

e7..    x6 - b251 =L= 0;

e8..    x7 - b251 =L= 0;

e9..    x8 - b251 =L= 0;

e10..    x9 - b251 =L= 0;

e11..    x10 - b251 =L= 0;

e12..    x11 - b251 =L= 0;

e13..    x12 - b251 =L= 0;

e14..    x13 - b251 =L= 0;

e15..    x14 - b251 =L= 0;

e16..    x15 - b251 =L= 0;

e17..    x16 - b251 =L= 0;

e18..    x17 - b251 =L= 0;

e19..    x18 - b251 =L= 0;

e20..    x19 - b251 =L= 0;

e21..    x20 - b251 =L= 0;

e22..    x21 - b251 =L= 0;

e23..    x22 - b251 =L= 0;

e24..    x23 - b251 =L= 0;

e25..    x24 - b251 =L= 0;

e26..    x25 - b251 =L= 0;

e27..    x26 - b252 =L= 0;

e28..    x27 - b252 =L= 0;

e29..    x28 - b252 =L= 0;

e30..    x29 - b252 =L= 0;

e31..    x30 - b252 =L= 0;

e32..    x31 - b252 =L= 0;

e33..    x32 - b252 =L= 0;

e34..    x33 - b252 =L= 0;

e35..    x34 - b252 =L= 0;

e36..    x35 - b252 =L= 0;

e37..    x36 - b252 =L= 0;

e38..    x37 - b252 =L= 0;

e39..    x38 - b252 =L= 0;

e40..    x39 - b252 =L= 0;

e41..    x40 - b252 =L= 0;

e42..    x41 - b252 =L= 0;

e43..    x42 - b252 =L= 0;

e44..    x43 - b252 =L= 0;

e45..    x44 - b252 =L= 0;

e46..    x45 - b252 =L= 0;

e47..    x46 - b252 =L= 0;

e48..    x47 - b252 =L= 0;

e49..    x48 - b252 =L= 0;

e50..    x49 - b252 =L= 0;

e51..    x50 - b252 =L= 0;

e52..    x51 - b253 =L= 0;

e53..    x52 - b253 =L= 0;

e54..    x53 - b253 =L= 0;

e55..    x54 - b253 =L= 0;

e56..    x55 - b253 =L= 0;

e57..    x56 - b253 =L= 0;

e58..    x57 - b253 =L= 0;

e59..    x58 - b253 =L= 0;

e60..    x59 - b253 =L= 0;

e61..    x60 - b253 =L= 0;

e62..    x61 - b253 =L= 0;

e63..    x62 - b253 =L= 0;

e64..    x63 - b253 =L= 0;

e65..    x64 - b253 =L= 0;

e66..    x65 - b253 =L= 0;

e67..    x66 - b253 =L= 0;

e68..    x67 - b253 =L= 0;

e69..    x68 - b253 =L= 0;

e70..    x69 - b253 =L= 0;

e71..    x70 - b253 =L= 0;

e72..    x71 - b253 =L= 0;

e73..    x72 - b253 =L= 0;

e74..    x73 - b253 =L= 0;

e75..    x74 - b253 =L= 0;

e76..    x75 - b253 =L= 0;

e77..    x76 - b254 =L= 0;

e78..    x77 - b254 =L= 0;

e79..    x78 - b254 =L= 0;

e80..    x79 - b254 =L= 0;

e81..    x80 - b254 =L= 0;

e82..    x81 - b254 =L= 0;

e83..    x82 - b254 =L= 0;

e84..    x83 - b254 =L= 0;

e85..    x84 - b254 =L= 0;

e86..    x85 - b254 =L= 0;

e87..    x86 - b254 =L= 0;

e88..    x87 - b254 =L= 0;

e89..    x88 - b254 =L= 0;

e90..    x89 - b254 =L= 0;

e91..    x90 - b254 =L= 0;

e92..    x91 - b254 =L= 0;

e93..    x92 - b254 =L= 0;

e94..    x93 - b254 =L= 0;

e95..    x94 - b254 =L= 0;

e96..    x95 - b254 =L= 0;

e97..    x96 - b254 =L= 0;

e98..    x97 - b254 =L= 0;

e99..    x98 - b254 =L= 0;

e100..    x99 - b254 =L= 0;

e101..    x100 - b254 =L= 0;

e102..    x101 - b255 =L= 0;

e103..    x102 - b255 =L= 0;

e104..    x103 - b255 =L= 0;

e105..    x104 - b255 =L= 0;

e106..    x105 - b255 =L= 0;

e107..    x106 - b255 =L= 0;

e108..    x107 - b255 =L= 0;

e109..    x108 - b255 =L= 0;

e110..    x109 - b255 =L= 0;

e111..    x110 - b255 =L= 0;

e112..    x111 - b255 =L= 0;

e113..    x112 - b255 =L= 0;

e114..    x113 - b255 =L= 0;

e115..    x114 - b255 =L= 0;

e116..    x115 - b255 =L= 0;

e117..    x116 - b255 =L= 0;

e118..    x117 - b255 =L= 0;

e119..    x118 - b255 =L= 0;

e120..    x119 - b255 =L= 0;

e121..    x120 - b255 =L= 0;

e122..    x121 - b255 =L= 0;

e123..    x122 - b255 =L= 0;

e124..    x123 - b255 =L= 0;

e125..    x124 - b255 =L= 0;

e126..    x125 - b255 =L= 0;

e127..    x126 - b256 =L= 0;

e128..    x127 - b256 =L= 0;

e129..    x128 - b256 =L= 0;

e130..    x129 - b256 =L= 0;

e131..    x130 - b256 =L= 0;

e132..    x131 - b256 =L= 0;

e133..    x132 - b256 =L= 0;

e134..    x133 - b256 =L= 0;

e135..    x134 - b256 =L= 0;

e136..    x135 - b256 =L= 0;

e137..    x136 - b256 =L= 0;

e138..    x137 - b256 =L= 0;

e139..    x138 - b256 =L= 0;

e140..    x139 - b256 =L= 0;

e141..    x140 - b256 =L= 0;

e142..    x141 - b256 =L= 0;

e143..    x142 - b256 =L= 0;

e144..    x143 - b256 =L= 0;

e145..    x144 - b256 =L= 0;

e146..    x145 - b256 =L= 0;

e147..    x146 - b256 =L= 0;

e148..    x147 - b256 =L= 0;

e149..    x148 - b256 =L= 0;

e150..    x149 - b256 =L= 0;

e151..    x150 - b256 =L= 0;

e152..    x151 - b257 =L= 0;

e153..    x152 - b257 =L= 0;

e154..    x153 - b257 =L= 0;

e155..    x154 - b257 =L= 0;

e156..    x155 - b257 =L= 0;

e157..    x156 - b257 =L= 0;

e158..    x157 - b257 =L= 0;

e159..    x158 - b257 =L= 0;

e160..    x159 - b257 =L= 0;

e161..    x160 - b257 =L= 0;

e162..    x161 - b257 =L= 0;

e163..    x162 - b257 =L= 0;

e164..    x163 - b257 =L= 0;

e165..    x164 - b257 =L= 0;

e166..    x165 - b257 =L= 0;

e167..    x166 - b257 =L= 0;

e168..    x167 - b257 =L= 0;

e169..    x168 - b257 =L= 0;

e170..    x169 - b257 =L= 0;

e171..    x170 - b257 =L= 0;

e172..    x171 - b257 =L= 0;

e173..    x172 - b257 =L= 0;

e174..    x173 - b257 =L= 0;

e175..    x174 - b257 =L= 0;

e176..    x175 - b257 =L= 0;

e177..    x176 - b258 =L= 0;

e178..    x177 - b258 =L= 0;

e179..    x178 - b258 =L= 0;

e180..    x179 - b258 =L= 0;

e181..    x180 - b258 =L= 0;

e182..    x181 - b258 =L= 0;

e183..    x182 - b258 =L= 0;

e184..    x183 - b258 =L= 0;

e185..    x184 - b258 =L= 0;

e186..    x185 - b258 =L= 0;

e187..    x186 - b258 =L= 0;

e188..    x187 - b258 =L= 0;

e189..    x188 - b258 =L= 0;

e190..    x189 - b258 =L= 0;

e191..    x190 - b258 =L= 0;

e192..    x191 - b258 =L= 0;

e193..    x192 - b258 =L= 0;

e194..    x193 - b258 =L= 0;

e195..    x194 - b258 =L= 0;

e196..    x195 - b258 =L= 0;

e197..    x196 - b258 =L= 0;

e198..    x197 - b258 =L= 0;

e199..    x198 - b258 =L= 0;

e200..    x199 - b258 =L= 0;

e201..    x200 - b258 =L= 0;

e202..    x201 - b259 =L= 0;

e203..    x202 - b259 =L= 0;

e204..    x203 - b259 =L= 0;

e205..    x204 - b259 =L= 0;

e206..    x205 - b259 =L= 0;

e207..    x206 - b259 =L= 0;

e208..    x207 - b259 =L= 0;

e209..    x208 - b259 =L= 0;

e210..    x209 - b259 =L= 0;

e211..    x210 - b259 =L= 0;

e212..    x211 - b259 =L= 0;

e213..    x212 - b259 =L= 0;

e214..    x213 - b259 =L= 0;

e215..    x214 - b259 =L= 0;

e216..    x215 - b259 =L= 0;

e217..    x216 - b259 =L= 0;

e218..    x217 - b259 =L= 0;

e219..    x218 - b259 =L= 0;

e220..    x219 - b259 =L= 0;

e221..    x220 - b259 =L= 0;

e222..    x221 - b259 =L= 0;

e223..    x222 - b259 =L= 0;

e224..    x223 - b259 =L= 0;

e225..    x224 - b259 =L= 0;

e226..    x225 - b259 =L= 0;

e227..    x226 - b260 =L= 0;

e228..    x227 - b260 =L= 0;

e229..    x228 - b260 =L= 0;

e230..    x229 - b260 =L= 0;

e231..    x230 - b260 =L= 0;

e232..    x231 - b260 =L= 0;

e233..    x232 - b260 =L= 0;

e234..    x233 - b260 =L= 0;

e235..    x234 - b260 =L= 0;

e236..    x235 - b260 =L= 0;

e237..    x236 - b260 =L= 0;

e238..    x237 - b260 =L= 0;

e239..    x238 - b260 =L= 0;

e240..    x239 - b260 =L= 0;

e241..    x240 - b260 =L= 0;

e242..    x241 - b260 =L= 0;

e243..    x242 - b260 =L= 0;

e244..    x243 - b260 =L= 0;

e245..    x244 - b260 =L= 0;

e246..    x245 - b260 =L= 0;

e247..    x246 - b260 =L= 0;

e248..    x247 - b260 =L= 0;

e249..    x248 - b260 =L= 0;

e250..    x249 - b260 =L= 0;

e251..    x250 - b260 =L= 0;

e252..    x1 + x26 + x51 + x76 + x101 + x126 + x151 + x176 + x201 + x226 =E= 1;

e253..    x2 + x27 + x52 + x77 + x102 + x127 + x152 + x177 + x202 + x227 =E= 1;

e254..    x3 + x28 + x53 + x78 + x103 + x128 + x153 + x178 + x203 + x228 =E= 1;

e255..    x4 + x29 + x54 + x79 + x104 + x129 + x154 + x179 + x204 + x229 =E= 1;

e256..    x5 + x30 + x55 + x80 + x105 + x130 + x155 + x180 + x205 + x230 =E= 1;

e257..    x6 + x31 + x56 + x81 + x106 + x131 + x156 + x181 + x206 + x231 =E= 1;

e258..    x7 + x32 + x57 + x82 + x107 + x132 + x157 + x182 + x207 + x232 =E= 1;

e259..    x8 + x33 + x58 + x83 + x108 + x133 + x158 + x183 + x208 + x233 =E= 1;

e260..    x9 + x34 + x59 + x84 + x109 + x134 + x159 + x184 + x209 + x234 =E= 1;

e261..    x10 + x35 + x60 + x85 + x110 + x135 + x160 + x185 + x210 + x235 =E= 1
       ;

e262..    x11 + x36 + x61 + x86 + x111 + x136 + x161 + x186 + x211 + x236 =E= 1
       ;

e263..    x12 + x37 + x62 + x87 + x112 + x137 + x162 + x187 + x212 + x237 =E= 1
       ;

e264..    x13 + x38 + x63 + x88 + x113 + x138 + x163 + x188 + x213 + x238 =E= 1
       ;

e265..    x14 + x39 + x64 + x89 + x114 + x139 + x164 + x189 + x214 + x239 =E= 1
       ;

e266..    x15 + x40 + x65 + x90 + x115 + x140 + x165 + x190 + x215 + x240 =E= 1
       ;

e267..    x16 + x41 + x66 + x91 + x116 + x141 + x166 + x191 + x216 + x241 =E= 1
       ;

e268..    x17 + x42 + x67 + x92 + x117 + x142 + x167 + x192 + x217 + x242 =E= 1
       ;

e269..    x18 + x43 + x68 + x93 + x118 + x143 + x168 + x193 + x218 + x243 =E= 1
       ;

e270..    x19 + x44 + x69 + x94 + x119 + x144 + x169 + x194 + x219 + x244 =E= 1
       ;

e271..    x20 + x45 + x70 + x95 + x120 + x145 + x170 + x195 + x220 + x245 =E= 1
       ;

e272..    x21 + x46 + x71 + x96 + x121 + x146 + x171 + x196 + x221 + x246 =E= 1
       ;

e273..    x22 + x47 + x72 + x97 + x122 + x147 + x172 + x197 + x222 + x247 =E= 1
       ;

e274..    x23 + x48 + x73 + x98 + x123 + x148 + x173 + x198 + x223 + x248 =E= 1
       ;

e275..    x24 + x49 + x74 + x99 + x124 + x149 + x174 + x199 + x224 + x249 =E= 1
       ;

e276..    x25 + x50 + x75 + x100 + x125 + x150 + x175 + x200 + x225 + x250
        =E= 1;

e277.. x1*x1 - x261*b251 =L= 0;

e278.. x2*x2 - x262*b251 =L= 0;

e279.. x3*x3 - x263*b251 =L= 0;

e280.. x4*x4 - x264*b251 =L= 0;

e281.. x5*x5 - x265*b251 =L= 0;

e282.. x6*x6 - x266*b251 =L= 0;

e283.. x7*x7 - x267*b251 =L= 0;

e284.. x8*x8 - x268*b251 =L= 0;

e285.. x9*x9 - x269*b251 =L= 0;

e286.. x10*x10 - x270*b251 =L= 0;

e287.. x11*x11 - x271*b251 =L= 0;

e288.. x12*x12 - x272*b251 =L= 0;

e289.. x13*x13 - x273*b251 =L= 0;

e290.. x14*x14 - x274*b251 =L= 0;

e291.. x15*x15 - x275*b251 =L= 0;

e292.. x16*x16 - x276*b251 =L= 0;

e293.. x17*x17 - x277*b251 =L= 0;

e294.. x18*x18 - x278*b251 =L= 0;

e295.. x19*x19 - x279*b251 =L= 0;

e296.. x20*x20 - x280*b251 =L= 0;

e297.. x21*x21 - x281*b251 =L= 0;

e298.. x22*x22 - x282*b251 =L= 0;

e299.. x23*x23 - x283*b251 =L= 0;

e300.. x24*x24 - x284*b251 =L= 0;

e301.. x25*x25 - x285*b251 =L= 0;

e302.. x26*x26 - x286*b252 =L= 0;

e303.. x27*x27 - x287*b252 =L= 0;

e304.. x28*x28 - x288*b252 =L= 0;

e305.. x29*x29 - x289*b252 =L= 0;

e306.. x30*x30 - x290*b252 =L= 0;

e307.. x31*x31 - x291*b252 =L= 0;

e308.. x32*x32 - x292*b252 =L= 0;

e309.. x33*x33 - x293*b252 =L= 0;

e310.. x34*x34 - x294*b252 =L= 0;

e311.. x35*x35 - x295*b252 =L= 0;

e312.. x36*x36 - x296*b252 =L= 0;

e313.. x37*x37 - x297*b252 =L= 0;

e314.. x38*x38 - x298*b252 =L= 0;

e315.. x39*x39 - x299*b252 =L= 0;

e316.. x40*x40 - x300*b252 =L= 0;

e317.. x41*x41 - x301*b252 =L= 0;

e318.. x42*x42 - x302*b252 =L= 0;

e319.. x43*x43 - x303*b252 =L= 0;

e320.. x44*x44 - x304*b252 =L= 0;

e321.. x45*x45 - x305*b252 =L= 0;

e322.. x46*x46 - x306*b252 =L= 0;

e323.. x47*x47 - x307*b252 =L= 0;

e324.. x48*x48 - x308*b252 =L= 0;

e325.. x49*x49 - x309*b252 =L= 0;

e326.. x50*x50 - x310*b252 =L= 0;

e327.. x51*x51 - x311*b253 =L= 0;

e328.. x52*x52 - x312*b253 =L= 0;

e329.. x53*x53 - x313*b253 =L= 0;

e330.. x54*x54 - x314*b253 =L= 0;

e331.. x55*x55 - x315*b253 =L= 0;

e332.. x56*x56 - x316*b253 =L= 0;

e333.. x57*x57 - x317*b253 =L= 0;

e334.. x58*x58 - x318*b253 =L= 0;

e335.. x59*x59 - x319*b253 =L= 0;

e336.. x60*x60 - x320*b253 =L= 0;

e337.. x61*x61 - x321*b253 =L= 0;

e338.. x62*x62 - x322*b253 =L= 0;

e339.. x63*x63 - x323*b253 =L= 0;

e340.. x64*x64 - x324*b253 =L= 0;

e341.. x65*x65 - x325*b253 =L= 0;

e342.. x66*x66 - x326*b253 =L= 0;

e343.. x67*x67 - x327*b253 =L= 0;

e344.. x68*x68 - x328*b253 =L= 0;

e345.. x69*x69 - x329*b253 =L= 0;

e346.. x70*x70 - x330*b253 =L= 0;

e347.. x71*x71 - x331*b253 =L= 0;

e348.. x72*x72 - x332*b253 =L= 0;

e349.. x73*x73 - x333*b253 =L= 0;

e350.. x74*x74 - x334*b253 =L= 0;

e351.. x75*x75 - x335*b253 =L= 0;

e352.. x76*x76 - x336*b254 =L= 0;

e353.. x77*x77 - x337*b254 =L= 0;

e354.. x78*x78 - x338*b254 =L= 0;

e355.. x79*x79 - x339*b254 =L= 0;

e356.. x80*x80 - x340*b254 =L= 0;

e357.. x81*x81 - x341*b254 =L= 0;

e358.. x82*x82 - x342*b254 =L= 0;

e359.. x83*x83 - x343*b254 =L= 0;

e360.. x84*x84 - x344*b254 =L= 0;

e361.. x85*x85 - x345*b254 =L= 0;

e362.. x86*x86 - x346*b254 =L= 0;

e363.. x87*x87 - x347*b254 =L= 0;

e364.. x88*x88 - x348*b254 =L= 0;

e365.. x89*x89 - x349*b254 =L= 0;

e366.. x90*x90 - x350*b254 =L= 0;

e367.. x91*x91 - x351*b254 =L= 0;

e368.. x92*x92 - x352*b254 =L= 0;

e369.. x93*x93 - x353*b254 =L= 0;

e370.. x94*x94 - x354*b254 =L= 0;

e371.. x95*x95 - x355*b254 =L= 0;

e372.. x96*x96 - x356*b254 =L= 0;

e373.. x97*x97 - x357*b254 =L= 0;

e374.. x98*x98 - x358*b254 =L= 0;

e375.. x99*x99 - x359*b254 =L= 0;

e376.. x100*x100 - x360*b254 =L= 0;

e377.. x101*x101 - x361*b255 =L= 0;

e378.. x102*x102 - x362*b255 =L= 0;

e379.. x103*x103 - x363*b255 =L= 0;

e380.. x104*x104 - x364*b255 =L= 0;

e381.. x105*x105 - x365*b255 =L= 0;

e382.. x106*x106 - x366*b255 =L= 0;

e383.. x107*x107 - x367*b255 =L= 0;

e384.. x108*x108 - x368*b255 =L= 0;

e385.. x109*x109 - x369*b255 =L= 0;

e386.. x110*x110 - x370*b255 =L= 0;

e387.. x111*x111 - x371*b255 =L= 0;

e388.. x112*x112 - x372*b255 =L= 0;

e389.. x113*x113 - x373*b255 =L= 0;

e390.. x114*x114 - x374*b255 =L= 0;

e391.. x115*x115 - x375*b255 =L= 0;

e392.. x116*x116 - x376*b255 =L= 0;

e393.. x117*x117 - x377*b255 =L= 0;

e394.. x118*x118 - x378*b255 =L= 0;

e395.. x119*x119 - x379*b255 =L= 0;

e396.. x120*x120 - x380*b255 =L= 0;

e397.. x121*x121 - x381*b255 =L= 0;

e398.. x122*x122 - x382*b255 =L= 0;

e399.. x123*x123 - x383*b255 =L= 0;

e400.. x124*x124 - x384*b255 =L= 0;

e401.. x125*x125 - x385*b255 =L= 0;

e402.. x126*x126 - x386*b256 =L= 0;

e403.. x127*x127 - x387*b256 =L= 0;

e404.. x128*x128 - x388*b256 =L= 0;

e405.. x129*x129 - x389*b256 =L= 0;

e406.. x130*x130 - x390*b256 =L= 0;

e407.. x131*x131 - x391*b256 =L= 0;

e408.. x132*x132 - x392*b256 =L= 0;

e409.. x133*x133 - x393*b256 =L= 0;

e410.. x134*x134 - x394*b256 =L= 0;

e411.. x135*x135 - x395*b256 =L= 0;

e412.. x136*x136 - x396*b256 =L= 0;

e413.. x137*x137 - x397*b256 =L= 0;

e414.. x138*x138 - x398*b256 =L= 0;

e415.. x139*x139 - x399*b256 =L= 0;

e416.. x140*x140 - x400*b256 =L= 0;

e417.. x141*x141 - x401*b256 =L= 0;

e418.. x142*x142 - x402*b256 =L= 0;

e419.. x143*x143 - x403*b256 =L= 0;

e420.. x144*x144 - x404*b256 =L= 0;

e421.. x145*x145 - x405*b256 =L= 0;

e422.. x146*x146 - x406*b256 =L= 0;

e423.. x147*x147 - x407*b256 =L= 0;

e424.. x148*x148 - x408*b256 =L= 0;

e425.. x149*x149 - x409*b256 =L= 0;

e426.. x150*x150 - x410*b256 =L= 0;

e427.. x151*x151 - x411*b257 =L= 0;

e428.. x152*x152 - x412*b257 =L= 0;

e429.. x153*x153 - x413*b257 =L= 0;

e430.. x154*x154 - x414*b257 =L= 0;

e431.. x155*x155 - x415*b257 =L= 0;

e432.. x156*x156 - x416*b257 =L= 0;

e433.. x157*x157 - x417*b257 =L= 0;

e434.. x158*x158 - x418*b257 =L= 0;

e435.. x159*x159 - x419*b257 =L= 0;

e436.. x160*x160 - x420*b257 =L= 0;

e437.. x161*x161 - x421*b257 =L= 0;

e438.. x162*x162 - x422*b257 =L= 0;

e439.. x163*x163 - x423*b257 =L= 0;

e440.. x164*x164 - x424*b257 =L= 0;

e441.. x165*x165 - x425*b257 =L= 0;

e442.. x166*x166 - x426*b257 =L= 0;

e443.. x167*x167 - x427*b257 =L= 0;

e444.. x168*x168 - x428*b257 =L= 0;

e445.. x169*x169 - x429*b257 =L= 0;

e446.. x170*x170 - x430*b257 =L= 0;

e447.. x171*x171 - x431*b257 =L= 0;

e448.. x172*x172 - x432*b257 =L= 0;

e449.. x173*x173 - x433*b257 =L= 0;

e450.. x174*x174 - x434*b257 =L= 0;

e451.. x175*x175 - x435*b257 =L= 0;

e452.. x176*x176 - x436*b258 =L= 0;

e453.. x177*x177 - x437*b258 =L= 0;

e454.. x178*x178 - x438*b258 =L= 0;

e455.. x179*x179 - x439*b258 =L= 0;

e456.. x180*x180 - x440*b258 =L= 0;

e457.. x181*x181 - x441*b258 =L= 0;

e458.. x182*x182 - x442*b258 =L= 0;

e459.. x183*x183 - x443*b258 =L= 0;

e460.. x184*x184 - x444*b258 =L= 0;

e461.. x185*x185 - x445*b258 =L= 0;

e462.. x186*x186 - x446*b258 =L= 0;

e463.. x187*x187 - x447*b258 =L= 0;

e464.. x188*x188 - x448*b258 =L= 0;

e465.. x189*x189 - x449*b258 =L= 0;

e466.. x190*x190 - x450*b258 =L= 0;

e467.. x191*x191 - x451*b258 =L= 0;

e468.. x192*x192 - x452*b258 =L= 0;

e469.. x193*x193 - x453*b258 =L= 0;

e470.. x194*x194 - x454*b258 =L= 0;

e471.. x195*x195 - x455*b258 =L= 0;

e472.. x196*x196 - x456*b258 =L= 0;

e473.. x197*x197 - x457*b258 =L= 0;

e474.. x198*x198 - x458*b258 =L= 0;

e475.. x199*x199 - x459*b258 =L= 0;

e476.. x200*x200 - x460*b258 =L= 0;

e477.. x201*x201 - x461*b259 =L= 0;

e478.. x202*x202 - x462*b259 =L= 0;

e479.. x203*x203 - x463*b259 =L= 0;

e480.. x204*x204 - x464*b259 =L= 0;

e481.. x205*x205 - x465*b259 =L= 0;

e482.. x206*x206 - x466*b259 =L= 0;

e483.. x207*x207 - x467*b259 =L= 0;

e484.. x208*x208 - x468*b259 =L= 0;

e485.. x209*x209 - x469*b259 =L= 0;

e486.. x210*x210 - x470*b259 =L= 0;

e487.. x211*x211 - x471*b259 =L= 0;

e488.. x212*x212 - x472*b259 =L= 0;

e489.. x213*x213 - x473*b259 =L= 0;

e490.. x214*x214 - x474*b259 =L= 0;

e491.. x215*x215 - x475*b259 =L= 0;

e492.. x216*x216 - x476*b259 =L= 0;

e493.. x217*x217 - x477*b259 =L= 0;

e494.. x218*x218 - x478*b259 =L= 0;

e495.. x219*x219 - x479*b259 =L= 0;

e496.. x220*x220 - x480*b259 =L= 0;

e497.. x221*x221 - x481*b259 =L= 0;

e498.. x222*x222 - x482*b259 =L= 0;

e499.. x223*x223 - x483*b259 =L= 0;

e500.. x224*x224 - x484*b259 =L= 0;

e501.. x225*x225 - x485*b259 =L= 0;

e502.. x226*x226 - x486*b260 =L= 0;

e503.. x227*x227 - x487*b260 =L= 0;

e504.. x228*x228 - x488*b260 =L= 0;

e505.. x229*x229 - x489*b260 =L= 0;

e506.. x230*x230 - x490*b260 =L= 0;

e507.. x231*x231 - x491*b260 =L= 0;

e508.. x232*x232 - x492*b260 =L= 0;

e509.. x233*x233 - x493*b260 =L= 0;

e510.. x234*x234 - x494*b260 =L= 0;

e511.. x235*x235 - x495*b260 =L= 0;

e512.. x236*x236 - x496*b260 =L= 0;

e513.. x237*x237 - x497*b260 =L= 0;

e514.. x238*x238 - x498*b260 =L= 0;

e515.. x239*x239 - x499*b260 =L= 0;

e516.. x240*x240 - x500*b260 =L= 0;

e517.. x241*x241 - x501*b260 =L= 0;

e518.. x242*x242 - x502*b260 =L= 0;

e519.. x243*x243 - x503*b260 =L= 0;

e520.. x244*x244 - x504*b260 =L= 0;

e521.. x245*x245 - x505*b260 =L= 0;

e522.. x246*x246 - x506*b260 =L= 0;

e523.. x247*x247 - x507*b260 =L= 0;

e524.. x248*x248 - x508*b260 =L= 0;

e525.. x249*x249 - x509*b260 =L= 0;

e526.. x250*x250 - x510*b260 =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;
b251.l = 0.1;
b252.l = 0.1;
b253.l = 0.1;
b254.l = 0.1;
b255.l = 0.1;
b256.l = 0.1;
b257.l = 0.1;
b258.l = 0.1;
b259.l = 0.1;
b260.l = 0.1;
x261.l = 0.01;
x262.l = 0.01;
x263.l = 0.01;
x264.l = 0.01;
x265.l = 0.01;
x266.l = 0.01;
x267.l = 0.01;
x268.l = 0.01;
x269.l = 0.01;
x270.l = 0.01;
x271.l = 0.01;
x272.l = 0.01;
x273.l = 0.01;
x274.l = 0.01;
x275.l = 0.01;
x276.l = 0.01;
x277.l = 0.01;
x278.l = 0.01;
x279.l = 0.01;
x280.l = 0.01;
x281.l = 0.01;
x282.l = 0.01;
x283.l = 0.01;
x284.l = 0.01;
x285.l = 0.01;
x286.l = 0.01;
x287.l = 0.01;
x288.l = 0.01;
x289.l = 0.01;
x290.l = 0.01;
x291.l = 0.01;
x292.l = 0.01;
x293.l = 0.01;
x294.l = 0.01;
x295.l = 0.01;
x296.l = 0.01;
x297.l = 0.01;
x298.l = 0.01;
x299.l = 0.01;
x300.l = 0.01;
x301.l = 0.01;
x302.l = 0.01;
x303.l = 0.01;
x304.l = 0.01;
x305.l = 0.01;
x306.l = 0.01;
x307.l = 0.01;
x308.l = 0.01;
x309.l = 0.01;
x310.l = 0.01;
x311.l = 0.01;
x312.l = 0.01;
x313.l = 0.01;
x314.l = 0.01;
x315.l = 0.01;
x316.l = 0.01;
x317.l = 0.01;
x318.l = 0.01;
x319.l = 0.01;
x320.l = 0.01;
x321.l = 0.01;
x322.l = 0.01;
x323.l = 0.01;
x324.l = 0.01;
x325.l = 0.01;
x326.l = 0.01;
x327.l = 0.01;
x328.l = 0.01;
x329.l = 0.01;
x330.l = 0.01;
x331.l = 0.01;
x332.l = 0.01;
x333.l = 0.01;
x334.l = 0.01;
x335.l = 0.01;
x336.l = 0.01;
x337.l = 0.01;
x338.l = 0.01;
x339.l = 0.01;
x340.l = 0.01;
x341.l = 0.01;
x342.l = 0.01;
x343.l = 0.01;
x344.l = 0.01;
x345.l = 0.01;
x346.l = 0.01;
x347.l = 0.01;
x348.l = 0.01;
x349.l = 0.01;
x350.l = 0.01;
x351.l = 0.01;
x352.l = 0.01;
x353.l = 0.01;
x354.l = 0.01;
x355.l = 0.01;
x356.l = 0.01;
x357.l = 0.01;
x358.l = 0.01;
x359.l = 0.01;
x360.l = 0.01;
x361.l = 0.01;
x362.l = 0.01;
x363.l = 0.01;
x364.l = 0.01;
x365.l = 0.01;
x366.l = 0.01;
x367.l = 0.01;
x368.l = 0.01;
x369.l = 0.01;
x370.l = 0.01;
x371.l = 0.01;
x372.l = 0.01;
x373.l = 0.01;
x374.l = 0.01;
x375.l = 0.01;
x376.l = 0.01;
x377.l = 0.01;
x378.l = 0.01;
x379.l = 0.01;
x380.l = 0.01;
x381.l = 0.01;
x382.l = 0.01;
x383.l = 0.01;
x384.l = 0.01;
x385.l = 0.01;
x386.l = 0.01;
x387.l = 0.01;
x388.l = 0.01;
x389.l = 0.01;
x390.l = 0.01;
x391.l = 0.01;
x392.l = 0.01;
x393.l = 0.01;
x394.l = 0.01;
x395.l = 0.01;
x396.l = 0.01;
x397.l = 0.01;
x398.l = 0.01;
x399.l = 0.01;
x400.l = 0.01;
x401.l = 0.01;
x402.l = 0.01;
x403.l = 0.01;
x404.l = 0.01;
x405.l = 0.01;
x406.l = 0.01;
x407.l = 0.01;
x408.l = 0.01;
x409.l = 0.01;
x410.l = 0.01;
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;

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: 2022-05-24 Git hash: 1198c186
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