MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: casctanks

Formats ams gms mod nl osil
Primal Bounds
9.16347939 p1 ( gdx sol )
(infeas: 6e-17)
Dual Bounds
8.45149003 (ANTIGONE)
9.16347284 (BARON)
8.23708376 (COUENNE)
9.04416748 (LINDO)
9.16332010 (SCIP)
References Gopalakrishnan, Ajit and Biegler, L T, MINLP and MPCC formulations for the cascading tanks problem, 2011.
Source Tank_MINLP2.gms from minlp.org model 140
Application Cascading Tanks
Added to library 25 Sep 2013
Problem type MBNLP
#Variables 500
#Binary Variables 40
#Integer Variables 0
#Nonlinear Variables 300
#Nonlinear Binary Variables 40
#Nonlinear Integer Variables 0
Objective Sense min
Objective type polynomial
Objective curvature indefinite
#Nonzeros in Objective 80
#Nonlinear Nonzeros in Objective 80
#Constraints 517
#Linear Constraints 300
#Quadratic Constraints 157
#Polynomial Constraints 0
#Signomial Constraints 60
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1525
#Nonlinear Nonzeros in Jacobian 434
#Nonzeros in (Upper-Left) Hessian of Lagrangian 560
#Nonzeros in Diagonal of Hessian of Lagrangian 120
#Blocks in Hessian of Lagrangian 80
Minimal blocksize in Hessian of Lagrangian 2
Maximal blocksize in Hessian of Lagrangian 9
Average blocksize in Hessian of Lagrangian 3.75
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 9
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
*        518      358       80       80        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        501      461       40        0        0        0        0        0
*  FX      7
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1606     1092      514        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,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,b461,b462,b463,b464,b465,b466,b467
          ,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
          ,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
          ,b494,b495,b496,b497,b498,b499,b500,objvar;

Positive Variables  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,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,x302,x303,x304,x305,x306,x307
          ,x308,x309,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320
          ,x322,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334
          ,x335,x336,x337,x338,x339,x340,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,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;

Binary Variables  b461,b462,b463,b464,b465,b466,b467,b468,b469,b470,b471,b472
          ,b473,b474,b475,b476,b477,b478,b479,b480,b481,b482,b483,b484,b485
          ,b486,b487,b488,b489,b490,b491,b492,b493,b494,b495,b496,b497,b498
          ,b499,b500;

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;


e1.. -x1*x361 + x101 - x301 =E= 0;

e2.. -x2*x362 + x102 - x302 =E= 0;

e3.. -x3*x363 + x103 - x303 =E= 0;

e4.. -x4*x364 + x104 - x304 =E= 0;

e5.. -x5*x365 + x105 - x305 =E= 0;

e6.. -x6*x366 + x106 - x306 =E= 0;

e7.. -x7*x367 + x107 - x307 =E= 0;

e8.. -x8*x368 + x108 - x308 =E= 0;

e9.. -x9*x369 + x109 - x309 =E= 0;

e10.. -x10*x370 + x110 - x310 =E= 0;

e11.. -x11*x371 + x111 - x311 =E= 0;

e12.. -x12*x372 + x112 - x312 =E= 0;

e13.. -x13*x373 + x113 - x313 =E= 0;

e14.. -x14*x374 + x114 - x314 =E= 0;

e15.. -x15*x375 + x115 - x315 =E= 0;

e16.. -x16*x376 + x116 - x316 =E= 0;

e17.. -x17*x377 + x117 - x317 =E= 0;

e18.. -x18*x378 + x118 - x318 =E= 0;

e19.. -x19*x379 + x119 - x319 =E= 0;

e20.. -x20*x380 + x120 - x320 =E= 0;

e21.. -x1*x381 + x121 - x321 =E= 0;

e22.. -x2*x382 + x122 - x322 =E= 0;

e23.. -x3*x383 + x123 - x323 =E= 0;

e24.. -x4*x384 + x124 - x324 =E= 0;

e25.. -x5*x385 + x125 - x325 =E= 0;

e26.. -x6*x386 + x126 - x326 =E= 0;

e27.. -x7*x387 + x127 - x327 =E= 0;

e28.. -x8*x388 + x128 - x328 =E= 0;

e29.. -x9*x389 + x129 - x329 =E= 0;

e30.. -x10*x390 + x130 - x330 =E= 0;

e31.. -x11*x391 + x131 - x331 =E= 0;

e32.. -x12*x392 + x132 - x332 =E= 0;

e33.. -x13*x393 + x133 - x333 =E= 0;

e34.. -x14*x394 + x134 - x334 =E= 0;

e35.. -x15*x395 + x135 - x335 =E= 0;

e36.. -x16*x396 + x136 - x336 =E= 0;

e37.. -x17*x397 + x137 - x337 =E= 0;

e38.. -x18*x398 + x138 - x338 =E= 0;

e39.. -x19*x399 + x139 - x339 =E= 0;

e40.. -x20*x400 + x140 - x340 =E= 0;

e41.. -x1*x401 + x141 - x341 =E= 0;

e42.. -x2*x402 + x142 - x342 =E= 0;

e43.. -x3*x403 + x143 - x343 =E= 0;

e44.. -x4*x404 + x144 - x344 =E= 0;

e45.. -x5*x405 + x145 - x345 =E= 0;

e46.. -x6*x406 + x146 - x346 =E= 0;

e47.. -x7*x407 + x147 - x347 =E= 0;

e48.. -x8*x408 + x148 - x348 =E= 0;

e49.. -x9*x409 + x149 - x349 =E= 0;

e50.. -x10*x410 + x150 - x350 =E= 0;

e51.. -x11*x411 + x151 - x351 =E= 0;

e52.. -x12*x412 + x152 - x352 =E= 0;

e53.. -x13*x413 + x153 - x353 =E= 0;

e54.. -x14*x414 + x154 - x354 =E= 0;

e55.. -x15*x415 + x155 - x355 =E= 0;

e56.. -x16*x416 + x156 - x356 =E= 0;

e57.. -x17*x417 + x157 - x357 =E= 0;

e58.. -x18*x418 + x158 - x358 =E= 0;

e59.. -x19*x419 + x159 - x359 =E= 0;

e60.. -x20*x420 + x160 - x360 =E= 0;

e61..    x21 - 0.1*x161 =E= 0;

e62..    x22 - 0.1*x162 =E= 0;

e63..    x23 - 0.1*x163 =E= 0;

e64..    x24 - 0.1*x164 =E= 0;

e65..    x25 - 0.1*x165 =E= 0;

e66..    x26 - 0.1*x166 =E= 0;

e67..    x27 - 0.1*x167 =E= 0;

e68..    x28 - 0.1*x168 =E= 0;

e69..    x29 - 0.1*x169 =E= 0;

e70..    x30 - 0.1*x170 =E= 0;

e71..    x31 - 0.1*x171 =E= 0;

e72..    x32 - 0.1*x172 =E= 0;

e73..    x33 - 0.1*x173 =E= 0;

e74..    x34 - 0.1*x174 =E= 0;

e75..    x35 - 0.1*x175 =E= 0;

e76..    x36 - 0.1*x176 =E= 0;

e77..    x37 - 0.1*x177 =E= 0;

e78..    x38 - 0.1*x178 =E= 0;

e79..    x39 - 0.1*x179 =E= 0;

e80..    x40 - 0.1*x180 =E= 0;

e81.. -0.1*sqrt(x241)*x181 + x41 =E= 0;

e82.. -0.1*sqrt(x242)*x182 + x42 =E= 0;

e83.. -0.1*sqrt(x243)*x183 + x43 =E= 0;

e84.. -0.1*sqrt(x244)*x184 + x44 =E= 0;

e85.. -0.1*sqrt(x245)*x185 + x45 =E= 0;

e86.. -0.1*sqrt(x246)*x186 + x46 =E= 0;

e87.. -0.1*sqrt(x247)*x187 + x47 =E= 0;

e88.. -0.1*sqrt(x248)*x188 + x48 =E= 0;

e89.. -0.1*sqrt(x249)*x189 + x49 =E= 0;

e90.. -0.1*sqrt(x250)*x190 + x50 =E= 0;

e91.. -0.1*sqrt(x251)*x191 + x51 =E= 0;

e92.. -0.1*sqrt(x252)*x192 + x52 =E= 0;

e93.. -0.1*sqrt(x253)*x193 + x53 =E= 0;

e94.. -0.1*sqrt(x254)*x194 + x54 =E= 0;

e95.. -0.1*sqrt(x255)*x195 + x55 =E= 0;

e96.. -0.1*sqrt(x256)*x196 + x56 =E= 0;

e97.. -0.1*sqrt(x257)*x197 + x57 =E= 0;

e98.. -0.1*sqrt(x258)*x198 + x58 =E= 0;

e99.. -0.1*sqrt(x259)*x199 + x59 =E= 0;

e100.. -0.1*sqrt(x260)*x200 + x60 =E= 0;

e101.. -0.1*sqrt(x261)*x201 + x61 =E= 0;

e102.. -0.1*sqrt(x262)*x202 + x62 =E= 0;

e103.. -0.1*sqrt(x263)*x203 + x63 =E= 0;

e104.. -0.1*sqrt(x264)*x204 + x64 =E= 0;

e105.. -0.1*sqrt(x265)*x205 + x65 =E= 0;

e106.. -0.1*sqrt(x266)*x206 + x66 =E= 0;

e107.. -0.1*sqrt(x267)*x207 + x67 =E= 0;

e108.. -0.1*sqrt(x268)*x208 + x68 =E= 0;

e109.. -0.1*sqrt(x269)*x209 + x69 =E= 0;

e110.. -0.1*sqrt(x270)*x210 + x70 =E= 0;

e111.. -0.1*sqrt(x271)*x211 + x71 =E= 0;

e112.. -0.1*sqrt(x272)*x212 + x72 =E= 0;

e113.. -0.1*sqrt(x273)*x213 + x73 =E= 0;

e114.. -0.1*sqrt(x274)*x214 + x74 =E= 0;

e115.. -0.1*sqrt(x275)*x215 + x75 =E= 0;

e116.. -0.1*sqrt(x276)*x216 + x76 =E= 0;

e117.. -0.1*sqrt(x277)*x217 + x77 =E= 0;

e118.. -0.1*sqrt(x278)*x218 + x78 =E= 0;

e119.. -0.1*sqrt(x279)*x219 + x79 =E= 0;

e120.. -0.1*sqrt(x280)*x220 + x80 =E= 0;

e121.. -0.1*sqrt(x281)*x221 + x81 =E= 0;

e122.. -0.1*sqrt(x282)*x222 + x82 =E= 0;

e123.. -0.1*sqrt(x283)*x223 + x83 =E= 0;

e124.. -0.1*sqrt(x284)*x224 + x84 =E= 0;

e125.. -0.1*sqrt(x285)*x225 + x85 =E= 0;

e126.. -0.1*sqrt(x286)*x226 + x86 =E= 0;

e127.. -0.1*sqrt(x287)*x227 + x87 =E= 0;

e128.. -0.1*sqrt(x288)*x228 + x88 =E= 0;

e129.. -0.1*sqrt(x289)*x229 + x89 =E= 0;

e130.. -0.1*sqrt(x290)*x230 + x90 =E= 0;

e131.. -0.1*sqrt(x291)*x231 + x91 =E= 0;

e132.. -0.1*sqrt(x292)*x232 + x92 =E= 0;

e133.. -0.1*sqrt(x293)*x233 + x93 =E= 0;

e134.. -0.1*sqrt(x294)*x234 + x94 =E= 0;

e135.. -0.1*sqrt(x295)*x235 + x95 =E= 0;

e136.. -0.1*sqrt(x296)*x236 + x96 =E= 0;

e137.. -0.1*sqrt(x297)*x237 + x97 =E= 0;

e138.. -0.1*sqrt(x298)*x238 + x98 =E= 0;

e139.. -0.1*sqrt(x299)*x239 + x99 =E= 0;

e140.. -0.1*sqrt(x300)*x240 + x100 =E= 0;

e141..  - x141 + x281 =E= 0;

e142..  - x142 + x282 =E= 0;

e143..  - x143 + x283 =E= 0;

e144..  - x144 + x284 =E= 0;

e145..  - x145 + x285 =E= 0;

e146..  - x146 + x286 =E= 0;

e147..  - x147 + x287 =E= 0;

e148..  - x148 + x288 =E= 0;

e149..  - x149 + x289 =E= 0;

e150..  - x150 + x290 =E= 0;

e151..  - x151 + x291 =E= 0;

e152..  - x152 + x292 =E= 0;

e153..  - x153 + x293 =E= 0;

e154..  - x154 + x294 =E= 0;

e155..  - x155 + x295 =E= 0;

e156..  - x156 + x296 =E= 0;

e157..  - x157 + x297 =E= 0;

e158..  - x158 + x298 =E= 0;

e159..  - x159 + x299 =E= 0;

e160..  - x160 + x300 =E= 0;

e161..  - 0.5*x21 + 0.5*x41 + x361 =E= 0;

e162..  - 0.5*x22 + 0.5*x42 + x362 =E= 0;

e163..  - 0.5*x23 + 0.5*x43 + x363 =E= 0;

e164..  - 0.5*x24 + 0.5*x44 + x364 =E= 0;

e165..  - 0.5*x25 + 0.5*x45 + x365 =E= 0;

e166..  - 0.5*x26 + 0.5*x46 + x366 =E= 0;

e167..  - 0.5*x27 + 0.5*x47 + x367 =E= 0;

e168..  - 0.5*x28 + 0.5*x48 + x368 =E= 0;

e169..  - 0.5*x29 + 0.5*x49 + x369 =E= 0;

e170..  - 0.5*x30 + 0.5*x50 + x370 =E= 0;

e171..  - 0.5*x31 + 0.5*x51 + x371 =E= 0;

e172..  - 0.5*x32 + 0.5*x52 + x372 =E= 0;

e173..  - 0.5*x33 + 0.5*x53 + x373 =E= 0;

e174..  - 0.5*x34 + 0.5*x54 + x374 =E= 0;

e175..  - 0.5*x35 + 0.5*x55 + x375 =E= 0;

e176..  - 0.5*x36 + 0.5*x56 + x376 =E= 0;

e177..  - 0.5*x37 + 0.5*x57 + x377 =E= 0;

e178..  - 0.5*x38 + 0.5*x58 + x378 =E= 0;

e179..  - 0.5*x39 + 0.5*x59 + x379 =E= 0;

e180..  - 0.5*x40 + 0.5*x60 + x380 =E= 0;

e181..  - 0.5*x41 + 0.5*x61 + x381 =E= 0;

e182..  - 0.5*x42 + 0.5*x62 + x382 =E= 0;

e183..  - 0.5*x43 + 0.5*x63 + x383 =E= 0;

e184..  - 0.5*x44 + 0.5*x64 + x384 =E= 0;

e185..  - 0.5*x45 + 0.5*x65 + x385 =E= 0;

e186..  - 0.5*x46 + 0.5*x66 + x386 =E= 0;

e187..  - 0.5*x47 + 0.5*x67 + x387 =E= 0;

e188..  - 0.5*x48 + 0.5*x68 + x388 =E= 0;

e189..  - 0.5*x49 + 0.5*x69 + x389 =E= 0;

e190..  - 0.5*x50 + 0.5*x70 + x390 =E= 0;

e191..  - 0.5*x51 + 0.5*x71 + x391 =E= 0;

e192..  - 0.5*x52 + 0.5*x72 + x392 =E= 0;

e193..  - 0.5*x53 + 0.5*x73 + x393 =E= 0;

e194..  - 0.5*x54 + 0.5*x74 + x394 =E= 0;

e195..  - 0.5*x55 + 0.5*x75 + x395 =E= 0;

e196..  - 0.5*x56 + 0.5*x76 + x396 =E= 0;

e197..  - 0.5*x57 + 0.5*x77 + x397 =E= 0;

e198..  - 0.5*x58 + 0.5*x78 + x398 =E= 0;

e199..  - 0.5*x59 + 0.5*x79 + x399 =E= 0;

e200..  - 0.5*x60 + 0.5*x80 + x400 =E= 0;

e201..  - 0.5*x61 + 0.5*x81 + x401 =E= 0;

e202..  - 0.5*x62 + 0.5*x82 + x402 =E= 0;

e203..  - 0.5*x63 + 0.5*x83 + x403 =E= 0;

e204..  - 0.5*x64 + 0.5*x84 + x404 =E= 0;

e205..  - 0.5*x65 + 0.5*x85 + x405 =E= 0;

e206..  - 0.5*x66 + 0.5*x86 + x406 =E= 0;

e207..  - 0.5*x67 + 0.5*x87 + x407 =E= 0;

e208..  - 0.5*x68 + 0.5*x88 + x408 =E= 0;

e209..  - 0.5*x69 + 0.5*x89 + x409 =E= 0;

e210..  - 0.5*x70 + 0.5*x90 + x410 =E= 0;

e211..  - 0.5*x71 + 0.5*x91 + x411 =E= 0;

e212..  - 0.5*x72 + 0.5*x92 + x412 =E= 0;

e213..  - 0.5*x73 + 0.5*x93 + x413 =E= 0;

e214..  - 0.5*x74 + 0.5*x94 + x414 =E= 0;

e215..  - 0.5*x75 + 0.5*x95 + x415 =E= 0;

e216..  - 0.5*x76 + 0.5*x96 + x416 =E= 0;

e217..  - 0.5*x77 + 0.5*x97 + x417 =E= 0;

e218..  - 0.5*x78 + 0.5*x98 + x418 =E= 0;

e219..  - 0.5*x79 + 0.5*x99 + x419 =E= 0;

e220..  - 0.5*x80 + 0.5*x100 + x420 =E= 0;

e221.. -x1*x361 - x301 + x302 =E= 0;

e222.. -x2*x362 - x302 + x303 =E= 0;

e223.. -x3*x363 - x303 + x304 =E= 0;

e224.. -x4*x364 - x304 + x305 =E= 0;

e225.. -x5*x365 - x305 + x306 =E= 0;

e226.. -x6*x366 - x306 + x307 =E= 0;

e227.. -x7*x367 - x307 + x308 =E= 0;

e228.. -x8*x368 - x308 + x309 =E= 0;

e229.. -x9*x369 - x309 + x310 =E= 0;

e230.. -x10*x370 - x310 + x311 =E= 0;

e231.. -x11*x371 - x311 + x312 =E= 0;

e232.. -x12*x372 - x312 + x313 =E= 0;

e233.. -x13*x373 - x313 + x314 =E= 0;

e234.. -x14*x374 - x314 + x315 =E= 0;

e235.. -x15*x375 - x315 + x316 =E= 0;

e236.. -x16*x376 - x316 + x317 =E= 0;

e237.. -x17*x377 - x317 + x318 =E= 0;

e238.. -x18*x378 - x318 + x319 =E= 0;

e239.. -x19*x379 - x319 + x320 =E= 0;

e240.. -x1*x381 - x321 + x322 =E= 0;

e241.. -x2*x382 - x322 + x323 =E= 0;

e242.. -x3*x383 - x323 + x324 =E= 0;

e243.. -x4*x384 - x324 + x325 =E= 0;

e244.. -x5*x385 - x325 + x326 =E= 0;

e245.. -x6*x386 - x326 + x327 =E= 0;

e246.. -x7*x387 - x327 + x328 =E= 0;

e247.. -x8*x388 - x328 + x329 =E= 0;

e248.. -x9*x389 - x329 + x330 =E= 0;

e249.. -x10*x390 - x330 + x331 =E= 0;

e250.. -x11*x391 - x331 + x332 =E= 0;

e251.. -x12*x392 - x332 + x333 =E= 0;

e252.. -x13*x393 - x333 + x334 =E= 0;

e253.. -x14*x394 - x334 + x335 =E= 0;

e254.. -x15*x395 - x335 + x336 =E= 0;

e255.. -x16*x396 - x336 + x337 =E= 0;

e256.. -x17*x397 - x337 + x338 =E= 0;

e257.. -x18*x398 - x338 + x339 =E= 0;

e258.. -x19*x399 - x339 + x340 =E= 0;

e259.. -x1*x401 - x341 + x342 =E= 0;

e260.. -x2*x402 - x342 + x343 =E= 0;

e261.. -x3*x403 - x343 + x344 =E= 0;

e262.. -x4*x404 - x344 + x345 =E= 0;

e263.. -x5*x405 - x345 + x346 =E= 0;

e264.. -x6*x406 - x346 + x347 =E= 0;

e265.. -x7*x407 - x347 + x348 =E= 0;

e266.. -x8*x408 - x348 + x349 =E= 0;

e267.. -x9*x409 - x349 + x350 =E= 0;

e268.. -x10*x410 - x350 + x351 =E= 0;

e269.. -x11*x411 - x351 + x352 =E= 0;

e270.. -x12*x412 - x352 + x353 =E= 0;

e271.. -x13*x413 - x353 + x354 =E= 0;

e272.. -x14*x414 - x354 + x355 =E= 0;

e273.. -x15*x415 - x355 + x356 =E= 0;

e274.. -x16*x416 - x356 + x357 =E= 0;

e275.. -x17*x417 - x357 + x358 =E= 0;

e276.. -x18*x418 - x358 + x359 =E= 0;

e277.. -x19*x419 - x359 + x360 =E= 0;

e278..  - x1 - x421 + x441 =E= 0;

e279..  - x2 - x422 + x442 =E= 0;

e280..  - x3 - x423 + x443 =E= 0;

e281..  - x4 - x424 + x444 =E= 0;

e282..  - x5 - x425 + x445 =E= 0;

e283..  - x6 - x426 + x446 =E= 0;

e284..  - x7 - x427 + x447 =E= 0;

e285..  - x8 - x428 + x448 =E= 0;

e286..  - x9 - x429 + x449 =E= 0;

e287..  - x10 - x430 + x450 =E= 0;

e288..  - x11 - x431 + x451 =E= 0;

e289..  - x12 - x432 + x452 =E= 0;

e290..  - x13 - x433 + x453 =E= 0;

e291..  - x14 - x434 + x454 =E= 0;

e292..  - x15 - x435 + x455 =E= 0;

e293..  - x16 - x436 + x456 =E= 0;

e294..  - x17 - x437 + x457 =E= 0;

e295..  - x18 - x438 + x458 =E= 0;

e296..  - x19 - x439 + x459 =E= 0;

e297..  - x20 - x440 + x460 =E= 0;

e298..  - x1 - x421 + x422 =E= 0;

e299..  - x2 - x422 + x423 =E= 0;

e300..  - x3 - x423 + x424 =E= 0;

e301..  - x4 - x424 + x425 =E= 0;

e302..  - x5 - x425 + x426 =E= 0;

e303..  - x6 - x426 + x427 =E= 0;

e304..  - x7 - x427 + x428 =E= 0;

e305..  - x8 - x428 + x429 =E= 0;

e306..  - x9 - x429 + x430 =E= 0;

e307..  - x10 - x430 + x431 =E= 0;

e308..  - x11 - x431 + x432 =E= 0;

e309..  - x12 - x432 + x433 =E= 0;

e310..  - x13 - x433 + x434 =E= 0;

e311..  - x14 - x434 + x435 =E= 0;

e312..  - x15 - x435 + x436 =E= 0;

e313..  - x16 - x436 + x437 =E= 0;

e314..  - x17 - x437 + x438 =E= 0;

e315..  - x18 - x438 + x439 =E= 0;

e316..  - x19 - x439 + x440 =E= 0;

e317.. (-0.5 + x121)*b461 - x101 + x241 =E= 0;

e318.. (-0.5 + x122)*b462 - x102 + x242 =E= 0;

e319.. (-0.5 + x123)*b463 - x103 + x243 =E= 0;

e320.. (-0.5 + x124)*b464 - x104 + x244 =E= 0;

e321.. (-0.5 + x125)*b465 - x105 + x245 =E= 0;

e322.. (-0.5 + x126)*b466 - x106 + x246 =E= 0;

e323.. (-0.5 + x127)*b467 - x107 + x247 =E= 0;

e324.. (-0.5 + x128)*b468 - x108 + x248 =E= 0;

e325.. (-0.5 + x129)*b469 - x109 + x249 =E= 0;

e326.. (-0.5 + x130)*b470 - x110 + x250 =E= 0;

e327.. (-0.5 + x131)*b471 - x111 + x251 =E= 0;

e328.. (-0.5 + x132)*b472 - x112 + x252 =E= 0;

e329.. (-0.5 + x133)*b473 - x113 + x253 =E= 0;

e330.. (-0.5 + x134)*b474 - x114 + x254 =E= 0;

e331.. (-0.5 + x135)*b475 - x115 + x255 =E= 0;

e332.. (-0.5 + x136)*b476 - x116 + x256 =E= 0;

e333.. (-0.5 + x137)*b477 - x117 + x257 =E= 0;

e334.. (-0.5 + x138)*b478 - x118 + x258 =E= 0;

e335.. (-0.5 + x139)*b479 - x119 + x259 =E= 0;

e336.. (-0.5 + x140)*b480 - x120 + x260 =E= 0;

e337.. (-0.5 + x141)*b481 - x121 + x261 =E= 0;

e338.. (-0.5 + x142)*b482 - x122 + x262 =E= 0;

e339.. (-0.5 + x143)*b483 - x123 + x263 =E= 0;

e340.. (-0.5 + x144)*b484 - x124 + x264 =E= 0;

e341.. (-0.5 + x145)*b485 - x125 + x265 =E= 0;

e342.. (-0.5 + x146)*b486 - x126 + x266 =E= 0;

e343.. (-0.5 + x147)*b487 - x127 + x267 =E= 0;

e344.. (-0.5 + x148)*b488 - x128 + x268 =E= 0;

e345.. (-0.5 + x149)*b489 - x129 + x269 =E= 0;

e346.. (-0.5 + x150)*b490 - x130 + x270 =E= 0;

e347.. (-0.5 + x151)*b491 - x131 + x271 =E= 0;

e348.. (-0.5 + x152)*b492 - x132 + x272 =E= 0;

e349.. (-0.5 + x153)*b493 - x133 + x273 =E= 0;

e350.. (-0.5 + x154)*b494 - x134 + x274 =E= 0;

e351.. (-0.5 + x155)*b495 - x135 + x275 =E= 0;

e352.. (-0.5 + x156)*b496 - x136 + x276 =E= 0;

e353.. (-0.5 + x157)*b497 - x137 + x277 =E= 0;

e354.. (-0.5 + x158)*b498 - x138 + x278 =E= 0;

e355.. (-0.5 + x159)*b499 - x139 + x279 =E= 0;

e356.. (-0.5 + x160)*b500 - x140 + x280 =E= 0;

e357..    x121 - b461 =L= 0.5;

e358..    x122 - b462 =L= 0.5;

e359..    x123 - b463 =L= 0.5;

e360..    x124 - b464 =L= 0.5;

e361..    x125 - b465 =L= 0.5;

e362..    x126 - b466 =L= 0.5;

e363..    x127 - b467 =L= 0.5;

e364..    x128 - b468 =L= 0.5;

e365..    x129 - b469 =L= 0.5;

e366..    x130 - b470 =L= 0.5;

e367..    x131 - b471 =L= 0.5;

e368..    x132 - b472 =L= 0.5;

e369..    x133 - b473 =L= 0.5;

e370..    x134 - b474 =L= 0.5;

e371..    x135 - b475 =L= 0.5;

e372..    x136 - b476 =L= 0.5;

e373..    x137 - b477 =L= 0.5;

e374..    x138 - b478 =L= 0.5;

e375..    x139 - b479 =L= 0.5;

e376..    x140 - b480 =L= 0.5;

e377..    x141 - b481 =L= 0.5;

e378..    x142 - b482 =L= 0.5;

e379..    x143 - b483 =L= 0.5;

e380..    x144 - b484 =L= 0.5;

e381..    x145 - b485 =L= 0.5;

e382..    x146 - b486 =L= 0.5;

e383..    x147 - b487 =L= 0.5;

e384..    x148 - b488 =L= 0.5;

e385..    x149 - b489 =L= 0.5;

e386..    x150 - b490 =L= 0.5;

e387..    x151 - b491 =L= 0.5;

e388..    x152 - b492 =L= 0.5;

e389..    x153 - b493 =L= 0.5;

e390..    x154 - b494 =L= 0.5;

e391..    x155 - b495 =L= 0.5;

e392..    x156 - b496 =L= 0.5;

e393..    x157 - b497 =L= 0.5;

e394..    x158 - b498 =L= 0.5;

e395..    x159 - b499 =L= 0.5;

e396..    x160 - b500 =L= 0.5;

e397..    x121 - b461 =G= -0.5;

e398..    x122 - b462 =G= -0.5;

e399..    x123 - b463 =G= -0.5;

e400..    x124 - b464 =G= -0.5;

e401..    x125 - b465 =G= -0.5;

e402..    x126 - b466 =G= -0.5;

e403..    x127 - b467 =G= -0.5;

e404..    x128 - b468 =G= -0.5;

e405..    x129 - b469 =G= -0.5;

e406..    x130 - b470 =G= -0.5;

e407..    x131 - b471 =G= -0.5;

e408..    x132 - b472 =G= -0.5;

e409..    x133 - b473 =G= -0.5;

e410..    x134 - b474 =G= -0.5;

e411..    x135 - b475 =G= -0.5;

e412..    x136 - b476 =G= -0.5;

e413..    x137 - b477 =G= -0.5;

e414..    x138 - b478 =G= -0.5;

e415..    x139 - b479 =G= -0.5;

e416..    x140 - b480 =G= -0.5;

e417..    x141 - b481 =G= -0.5;

e418..    x142 - b482 =G= -0.5;

e419..    x143 - b483 =G= -0.5;

e420..    x144 - b484 =G= -0.5;

e421..    x145 - b485 =G= -0.5;

e422..    x146 - b486 =G= -0.5;

e423..    x147 - b487 =G= -0.5;

e424..    x148 - b488 =G= -0.5;

e425..    x149 - b489 =G= -0.5;

e426..    x150 - b490 =G= -0.5;

e427..    x151 - b491 =G= -0.5;

e428..    x152 - b492 =G= -0.5;

e429..    x153 - b493 =G= -0.5;

e430..    x154 - b494 =G= -0.5;

e431..    x155 - b495 =G= -0.5;

e432..    x156 - b496 =G= -0.5;

e433..    x157 - b497 =G= -0.5;

e434..    x158 - b498 =G= -0.5;

e435..    x159 - b499 =G= -0.5;

e436..    x160 - b500 =G= -0.5;

e437..    x321 - b461 =L= 0.5;

e438..    x322 - b462 =L= 0.5;

e439..    x323 - b463 =L= 0.5;

e440..    x324 - b464 =L= 0.5;

e441..    x325 - b465 =L= 0.5;

e442..    x326 - b466 =L= 0.5;

e443..    x327 - b467 =L= 0.5;

e444..    x328 - b468 =L= 0.5;

e445..    x329 - b469 =L= 0.5;

e446..    x330 - b470 =L= 0.5;

e447..    x331 - b471 =L= 0.5;

e448..    x332 - b472 =L= 0.5;

e449..    x333 - b473 =L= 0.5;

e450..    x334 - b474 =L= 0.5;

e451..    x335 - b475 =L= 0.5;

e452..    x336 - b476 =L= 0.5;

e453..    x337 - b477 =L= 0.5;

e454..    x338 - b478 =L= 0.5;

e455..    x339 - b479 =L= 0.5;

e456..    x340 - b480 =L= 0.5;

e457..    x341 - b481 =L= 0.5;

e458..    x342 - b482 =L= 0.5;

e459..    x343 - b483 =L= 0.5;

e460..    x344 - b484 =L= 0.5;

e461..    x345 - b485 =L= 0.5;

e462..    x346 - b486 =L= 0.5;

e463..    x347 - b487 =L= 0.5;

e464..    x348 - b488 =L= 0.5;

e465..    x349 - b489 =L= 0.5;

e466..    x350 - b490 =L= 0.5;

e467..    x351 - b491 =L= 0.5;

e468..    x352 - b492 =L= 0.5;

e469..    x353 - b493 =L= 0.5;

e470..    x354 - b494 =L= 0.5;

e471..    x355 - b495 =L= 0.5;

e472..    x356 - b496 =L= 0.5;

e473..    x357 - b497 =L= 0.5;

e474..    x358 - b498 =L= 0.5;

e475..    x359 - b499 =L= 0.5;

e476..    x360 - b500 =L= 0.5;

e477..    x321 - b461 =G= -0.5;

e478..    x322 - b462 =G= -0.5;

e479..    x323 - b463 =G= -0.5;

e480..    x324 - b464 =G= -0.5;

e481..    x325 - b465 =G= -0.5;

e482..    x326 - b466 =G= -0.5;

e483..    x327 - b467 =G= -0.5;

e484..    x328 - b468 =G= -0.5;

e485..    x329 - b469 =G= -0.5;

e486..    x330 - b470 =G= -0.5;

e487..    x331 - b471 =G= -0.5;

e488..    x332 - b472 =G= -0.5;

e489..    x333 - b473 =G= -0.5;

e490..    x334 - b474 =G= -0.5;

e491..    x335 - b475 =G= -0.5;

e492..    x336 - b476 =G= -0.5;

e493..    x337 - b477 =G= -0.5;

e494..    x338 - b478 =G= -0.5;

e495..    x339 - b479 =G= -0.5;

e496..    x340 - b480 =G= -0.5;

e497..    x341 - b481 =G= -0.5;

e498..    x342 - b482 =G= -0.5;

e499..    x343 - b483 =G= -0.5;

e500..    x344 - b484 =G= -0.5;

e501..    x345 - b485 =G= -0.5;

e502..    x346 - b486 =G= -0.5;

e503..    x347 - b487 =G= -0.5;

e504..    x348 - b488 =G= -0.5;

e505..    x349 - b489 =G= -0.5;

e506..    x350 - b490 =G= -0.5;

e507..    x351 - b491 =G= -0.5;

e508..    x352 - b492 =G= -0.5;

e509..    x353 - b493 =G= -0.5;

e510..    x354 - b494 =G= -0.5;

e511..    x355 - b495 =G= -0.5;

e512..    x356 - b496 =G= -0.5;

e513..    x357 - b497 =G= -0.5;

e514..    x358 - b498 =G= -0.5;

e515..    x359 - b499 =G= -0.5;

e516..    x360 - b500 =G= -0.5;

e517.. -(sqr((-0.75) + x101)*x1 + sqr((-0.75) + x102)*x2 + sqr((-0.75) + x103)*
       x3 + sqr((-0.75) + x104)*x4 + sqr((-0.75) + x105)*x5 + sqr((-0.75) + 
       x106)*x6 + sqr((-0.75) + x107)*x7 + sqr((-0.75) + x108)*x8 + sqr((-0.75)
        + x109)*x9 + sqr((-0.75) + x110)*x10 + sqr((-0.75) + x111)*x11 + sqr((-
       0.75) + x112)*x12 + sqr((-0.75) + x113)*x13 + sqr((-0.75) + x114)*x14 + 
       sqr((-0.75) + x115)*x15 + sqr((-0.75) + x116)*x16 + sqr((-0.75) + x117)*
       x17 + sqr((-0.75) + x118)*x18 + sqr((-0.75) + x119)*x19 + sqr((-0.75) + 
       x120)*x20 + sqr((-0.75) + x121)*x1 + sqr((-0.75) + x122)*x2 + sqr((-0.75
       ) + x123)*x3 + sqr((-0.75) + x124)*x4 + sqr((-0.75) + x125)*x5 + sqr((-
       0.75) + x126)*x6 + sqr((-0.75) + x127)*x7 + sqr((-0.75) + x128)*x8 + 
       sqr((-0.75) + x129)*x9 + sqr((-0.75) + x130)*x10 + sqr((-0.75) + x131)*
       x11 + sqr((-0.75) + x132)*x12 + sqr((-0.75) + x133)*x13 + sqr((-0.75) + 
       x134)*x14 + sqr((-0.75) + x135)*x15 + sqr((-0.75) + x136)*x16 + sqr((-
       0.75) + x137)*x17 + sqr((-0.75) + x138)*x18 + sqr((-0.75) + x139)*x19 + 
       sqr((-0.75) + x140)*x20 + sqr((-0.75) + x141)*x1 + sqr((-0.75) + x142)*
       x2 + sqr((-0.75) + x143)*x3 + sqr((-0.75) + x144)*x4 + sqr((-0.75) + 
       x145)*x5 + sqr((-0.75) + x146)*x6 + sqr((-0.75) + x147)*x7 + sqr((-0.75)
        + x148)*x8 + sqr((-0.75) + x149)*x9 + sqr((-0.75) + x150)*x10 + sqr((-
       0.75) + x151)*x11 + sqr((-0.75) + x152)*x12 + sqr((-0.75) + x153)*x13 + 
       sqr((-0.75) + x154)*x14 + sqr((-0.75) + x155)*x15 + sqr((-0.75) + x156)*
       x16 + sqr((-0.75) + x157)*x17 + sqr((-0.75) + x158)*x18 + sqr((-0.75) + 
       x159)*x19 + sqr((-0.75) + x160)*x20) + objvar =E= 0;

e518..    x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
        + x14 + x15 + x16 + x17 + x18 + x19 + x20 =E= 180;

* set non-default bounds
x1.lo = 7.2; x1.up = 10.8;
x2.lo = 7.2; x2.up = 10.8;
x3.lo = 7.2; x3.up = 10.8;
x4.lo = 7.2; x4.up = 10.8;
x5.lo = 7.2; x5.up = 10.8;
x6.lo = 7.2; x6.up = 10.8;
x7.lo = 7.2; x7.up = 10.8;
x8.lo = 7.2; x8.up = 10.8;
x9.lo = 7.2; x9.up = 10.8;
x10.lo = 7.2; x10.up = 10.8;
x11.lo = 7.2; x11.up = 10.8;
x12.lo = 7.2; x12.up = 10.8;
x13.lo = 7.2; x13.up = 10.8;
x14.lo = 7.2; x14.up = 10.8;
x15.lo = 7.2; x15.up = 10.8;
x16.lo = 7.2; x16.up = 10.8;
x17.lo = 7.2; x17.up = 10.8;
x18.lo = 7.2; x18.up = 10.8;
x19.lo = 7.2; x19.up = 10.8;
x20.lo = 7.2; x20.up = 10.8;
x101.lo = 0.05; x101.up = 1;
x102.lo = 0.05; x102.up = 1;
x103.lo = 0.05; x103.up = 1;
x104.lo = 0.05; x104.up = 1;
x105.lo = 0.05; x105.up = 1;
x106.lo = 0.05; x106.up = 1;
x107.lo = 0.05; x107.up = 1;
x108.lo = 0.05; x108.up = 1;
x109.lo = 0.05; x109.up = 1;
x110.lo = 0.05; x110.up = 1;
x111.lo = 0.05; x111.up = 1;
x112.lo = 0.05; x112.up = 1;
x113.lo = 0.05; x113.up = 1;
x114.lo = 0.05; x114.up = 1;
x115.lo = 0.05; x115.up = 1;
x116.lo = 0.05; x116.up = 1;
x117.lo = 0.05; x117.up = 1;
x118.lo = 0.05; x118.up = 1;
x119.lo = 0.05; x119.up = 1;
x120.fx = 0.75;
x121.lo = 0.05; x121.up = 1;
x122.lo = 0.05; x122.up = 1;
x123.lo = 0.05; x123.up = 1;
x124.lo = 0.05; x124.up = 1;
x125.lo = 0.05; x125.up = 1;
x126.lo = 0.05; x126.up = 1;
x127.lo = 0.05; x127.up = 1;
x128.lo = 0.05; x128.up = 1;
x129.lo = 0.05; x129.up = 1;
x130.lo = 0.05; x130.up = 1;
x131.lo = 0.05; x131.up = 1;
x132.lo = 0.05; x132.up = 1;
x133.lo = 0.05; x133.up = 1;
x134.lo = 0.05; x134.up = 1;
x135.lo = 0.05; x135.up = 1;
x136.lo = 0.05; x136.up = 1;
x137.lo = 0.05; x137.up = 1;
x138.lo = 0.05; x138.up = 1;
x139.lo = 0.05; x139.up = 1;
x140.fx = 0.75;
x141.lo = 0.05; x141.up = 1;
x142.lo = 0.05; x142.up = 1;
x143.lo = 0.05; x143.up = 1;
x144.lo = 0.05; x144.up = 1;
x145.lo = 0.05; x145.up = 1;
x146.lo = 0.05; x146.up = 1;
x147.lo = 0.05; x147.up = 1;
x148.lo = 0.05; x148.up = 1;
x149.lo = 0.05; x149.up = 1;
x150.lo = 0.05; x150.up = 1;
x151.lo = 0.05; x151.up = 1;
x152.lo = 0.05; x152.up = 1;
x153.lo = 0.05; x153.up = 1;
x154.lo = 0.05; x154.up = 1;
x155.lo = 0.05; x155.up = 1;
x156.lo = 0.05; x156.up = 1;
x157.lo = 0.05; x157.up = 1;
x158.lo = 0.05; x158.up = 1;
x159.lo = 0.05; x159.up = 1;
x160.fx = 0.75;
x161.lo = 0.25; x161.up = 1.25;
x162.lo = 0.25; x162.up = 1.25;
x163.lo = 0.25; x163.up = 1.25;
x164.lo = 0.25; x164.up = 1.25;
x165.lo = 0.25; x165.up = 1.25;
x166.lo = 0.25; x166.up = 1.25;
x167.lo = 0.25; x167.up = 1.25;
x168.lo = 0.25; x168.up = 1.25;
x169.lo = 0.25; x169.up = 1.25;
x170.lo = 0.25; x170.up = 1.25;
x171.lo = 0.25; x171.up = 1.25;
x172.lo = 0.25; x172.up = 1.25;
x173.lo = 0.25; x173.up = 1.25;
x174.lo = 0.25; x174.up = 1.25;
x175.lo = 0.25; x175.up = 1.25;
x176.lo = 0.25; x176.up = 1.25;
x177.lo = 0.25; x177.up = 1.25;
x178.lo = 0.25; x178.up = 1.25;
x179.lo = 0.25; x179.up = 1.25;
x180.lo = 0.25; x180.up = 1.25;
x181.lo = 0.25; x181.up = 1.25;
x182.lo = 0.25; x182.up = 1.25;
x183.lo = 0.25; x183.up = 1.25;
x184.lo = 0.25; x184.up = 1.25;
x185.lo = 0.25; x185.up = 1.25;
x186.lo = 0.25; x186.up = 1.25;
x187.lo = 0.25; x187.up = 1.25;
x188.lo = 0.25; x188.up = 1.25;
x189.lo = 0.25; x189.up = 1.25;
x190.lo = 0.25; x190.up = 1.25;
x191.lo = 0.25; x191.up = 1.25;
x192.lo = 0.25; x192.up = 1.25;
x193.lo = 0.25; x193.up = 1.25;
x194.lo = 0.25; x194.up = 1.25;
x195.lo = 0.25; x195.up = 1.25;
x196.lo = 0.25; x196.up = 1.25;
x197.lo = 0.25; x197.up = 1.25;
x198.lo = 0.25; x198.up = 1.25;
x199.lo = 0.25; x199.up = 1.25;
x200.lo = 0.25; x200.up = 1.25;
x201.lo = 0.25; x201.up = 1.25;
x202.lo = 0.25; x202.up = 1.25;
x203.lo = 0.25; x203.up = 1.25;
x204.lo = 0.25; x204.up = 1.25;
x205.lo = 0.25; x205.up = 1.25;
x206.lo = 0.25; x206.up = 1.25;
x207.lo = 0.25; x207.up = 1.25;
x208.lo = 0.25; x208.up = 1.25;
x209.lo = 0.25; x209.up = 1.25;
x210.lo = 0.25; x210.up = 1.25;
x211.lo = 0.25; x211.up = 1.25;
x212.lo = 0.25; x212.up = 1.25;
x213.lo = 0.25; x213.up = 1.25;
x214.lo = 0.25; x214.up = 1.25;
x215.lo = 0.25; x215.up = 1.25;
x216.lo = 0.25; x216.up = 1.25;
x217.lo = 0.25; x217.up = 1.25;
x218.lo = 0.25; x218.up = 1.25;
x219.lo = 0.25; x219.up = 1.25;
x220.lo = 0.25; x220.up = 1.25;
x221.lo = 0.25; x221.up = 1.25;
x222.lo = 0.25; x222.up = 1.25;
x223.lo = 0.25; x223.up = 1.25;
x224.lo = 0.25; x224.up = 1.25;
x225.lo = 0.25; x225.up = 1.25;
x226.lo = 0.25; x226.up = 1.25;
x227.lo = 0.25; x227.up = 1.25;
x228.lo = 0.25; x228.up = 1.25;
x229.lo = 0.25; x229.up = 1.25;
x230.lo = 0.25; x230.up = 1.25;
x231.lo = 0.25; x231.up = 1.25;
x232.lo = 0.25; x232.up = 1.25;
x233.lo = 0.25; x233.up = 1.25;
x234.lo = 0.25; x234.up = 1.25;
x235.lo = 0.25; x235.up = 1.25;
x236.lo = 0.25; x236.up = 1.25;
x237.lo = 0.25; x237.up = 1.25;
x238.lo = 0.25; x238.up = 1.25;
x239.lo = 0.25; x239.up = 1.25;
x240.lo = 0.25; x240.up = 1.25;
x301.fx = 0.1;
x321.fx = 0.1;
x341.fx = 0.1;
x421.fx = 0;

* set non-default levels
x1.l = 9;
x2.l = 9;
x3.l = 9;
x4.l = 9;
x5.l = 9;
x6.l = 9;
x7.l = 9;
x8.l = 9;
x9.l = 9;
x10.l = 9;
x11.l = 9;
x12.l = 9;
x13.l = 9;
x14.l = 9;
x15.l = 9;
x16.l = 9;
x17.l = 9;
x18.l = 9;
x19.l = 9;
x20.l = 9;
x161.l = 1;
x162.l = 1;
x163.l = 1;
x164.l = 1;
x165.l = 1;
x166.l = 1;
x167.l = 1;
x168.l = 1;
x169.l = 1;
x170.l = 1;
x171.l = 1;
x172.l = 1;
x173.l = 1;
x174.l = 1;
x175.l = 1;
x176.l = 1;
x177.l = 1;
x178.l = 1;
x179.l = 1;
x180.l = 1;
x181.l = 1;
x182.l = 1;
x183.l = 1;
x184.l = 1;
x185.l = 1;
x186.l = 1;
x187.l = 1;
x188.l = 1;
x189.l = 1;
x190.l = 1;
x191.l = 1;
x192.l = 1;
x193.l = 1;
x194.l = 1;
x195.l = 1;
x196.l = 1;
x197.l = 1;
x198.l = 1;
x199.l = 1;
x200.l = 1;
x201.l = 1;
x202.l = 1;
x203.l = 1;
x204.l = 1;
x205.l = 1;
x206.l = 1;
x207.l = 1;
x208.l = 1;
x209.l = 1;
x210.l = 1;
x211.l = 1;
x212.l = 1;
x213.l = 1;
x214.l = 1;
x215.l = 1;
x216.l = 1;
x217.l = 1;
x218.l = 1;
x219.l = 1;
x220.l = 1;
x221.l = 1;
x222.l = 1;
x223.l = 1;
x224.l = 1;
x225.l = 1;
x226.l = 1;
x227.l = 1;
x228.l = 1;
x229.l = 1;
x230.l = 1;
x231.l = 1;
x232.l = 1;
x233.l = 1;
x234.l = 1;
x235.l = 1;
x236.l = 1;
x237.l = 1;
x238.l = 1;
x239.l = 1;
x240.l = 1;
x422.l = 1;
x423.l = 1;
x424.l = 1;
x425.l = 1;
x426.l = 1;
x427.l = 1;
x428.l = 1;
x429.l = 1;
x430.l = 1;
x431.l = 1;
x432.l = 1;
x433.l = 1;
x434.l = 1;
x435.l = 1;
x436.l = 1;
x437.l = 1;
x438.l = 1;
x439.l = 1;
x440.l = 1;
x441.l = 1;
x442.l = 1;
x443.l = 1;
x444.l = 1;
x445.l = 1;
x446.l = 1;
x447.l = 1;
x448.l = 1;
x449.l = 1;
x450.l = 1;
x451.l = 1;
x452.l = 1;
x453.l = 1;
x454.l = 1;
x455.l = 1;
x456.l = 1;
x457.l = 1;
x458.l = 1;
x459.l = 1;
x460.l = 1;

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: 2018-05-28 Git hash: ac4a64c1
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