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Instance kall_circlesrectangles_c6r29

A set of circles and rectangles are to be cut from rectangular design plates to be produced, or from a set of stocked rectangles of known geometric dimensions.
The objective is to minimize the area of the design rectangles.
The design plates are subject to lower and upper bounds of their widths and lengths.
The objects are free of any orientation restrictions.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
8.82493187 p1 ( gdx sol )
(infeas: 4e-14)
7.63233767 p2 ( gdx sol )
(infeas: 7e-15)
7.59861316 p3 ( gdx sol )
(infeas: 2e-15)
6.46552464 p4 ( gdx sol )
(infeas: 1e-14)
6.41191945 p5 ( gdx sol )
(infeas: 2e-14)
6.40929364 p6 ( gdx sol )
(infeas: 1e-09)
6.29516822 p7 ( gdx sol )
(infeas: 3e-11)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.00000000 (GUROBI)
0.00000000 (LINDO)
3.84649519 (SCIP)
References Kallrath, Josef, Cutting circles and polygons from area-minimizing rectangles, Journal of Global Optimization, 43:2-3, 2009, 299-328.
Source ANTIGONE test library model Other_MIQCQP/kall_circlesrectangles_c6r29
Application Geometry
Added to library 15 Aug 2014
Problem type QCP
#Variables 390
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 198
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 388
#Linear Constraints 105
#Quadratic Constraints 283
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1349
#Nonlinear Nonzeros in Jacobian 600
#Nonzeros in (Upper-Left) Hessian of Lagrangian 612
#Nonzeros in Diagonal of Hessian of Lagrangian 46
#Blocks in Hessian of Lagrangian 33
Minimal blocksize in Hessian of Lagrangian 2
Maximal blocksize in Hessian of Lagrangian 10
Average blocksize in Hessian of Lagrangian 6.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0000e-01
Maximal coefficient 2.0000e+00
Infeasibility of initial point 21.35
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
*        388      343       15       30        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        390      390        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1349      749      600        0
*
*  Solve m using NLP 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
          ,objvar;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,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,x368,x369,x370,x371,x372,x373,x374,x375,x376,x377,x378,x379
          ,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389;

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;


e1..  - x1 + objvar =E= -24.2393785915978;

e2.. -x368*x369 + x1 =E= 0;

e3.. (x356 - x358)*(x356 - x358) + (x357 - x359)*(x357 - x359) =G= 3.24;

e4.. (x356 - x360)*(x356 - x360) + (x357 - x361)*(x357 - x361) =G= 4;

e5.. (x356 - x362)*(x356 - x362) + (x357 - x363)*(x357 - x363) =G= 8.41;

e6.. (x356 - x364)*(x356 - x364) + (x357 - x365)*(x357 - x365) =G= 6.25;

e7.. (x356 - x366)*(x356 - x366) + (x357 - x367)*(x357 - x367) =G= 2.89;

e8.. (x358 - x360)*(x358 - x360) + (x359 - x361)*(x359 - x361) =G= 1.96;

e9.. (x358 - x362)*(x358 - x362) + (x359 - x363)*(x359 - x363) =G= 5.29;

e10.. (x358 - x364)*(x358 - x364) + (x359 - x365)*(x359 - x365) =G= 3.61;

e11.. (x358 - x366)*(x358 - x366) + (x359 - x367)*(x359 - x367) =G= 1.21;

e12.. (x360 - x362)*(x360 - x362) + (x361 - x363)*(x361 - x363) =G= 6.25;

e13.. (x360 - x364)*(x360 - x364) + (x361 - x365)*(x361 - x365) =G= 4.41;

e14.. (x360 - x366)*(x360 - x366) + (x361 - x367)*(x361 - x367) =G= 1.69;

e15.. (x362 - x364)*(x362 - x364) + (x363 - x365)*(x363 - x365) =G= 9;

e16.. (x362 - x366)*(x362 - x366) + (x363 - x367)*(x363 - x367) =G= 4.84;

e17.. (x364 - x366)*(x364 - x366) + (x365 - x367)*(x365 - x367) =G= 3.24;

e18..    x356 - x368 =L= -1.2;

e19..    x357 - x369 =L= -1.2;

e20..    x358 - x368 =L= -0.6;

e21..    x359 - x369 =L= -0.6;

e22..    x360 - x368 =L= -0.8;

e23..    x361 - x369 =L= -0.8;

e24..    x362 - x368 =L= -1.7;

e25..    x363 - x369 =L= -1.7;

e26..    x364 - x368 =L= -1.3;

e27..    x365 - x369 =L= -1.3;

e28..    x366 - x368 =L= -0.5;

e29..    x367 - x369 =L= -0.5;

e30..  - x368 + x370 =L= 0;

e31..  - x369 + x371 =L= 0;

e32..  - x368 + x372 =L= 0;

e33..  - x369 + x373 =L= 0;

e34..  - x368 + x374 =L= 0;

e35..  - x369 + x375 =L= 0;

e36..  - x368 + x376 =L= 0;

e37..  - x369 + x377 =L= 0;

e38..  - x368 + x380 =L= 0;

e39..  - x369 + x381 =L= 0;

e40..  - x368 + x382 =L= 0;

e41..  - x369 + x383 =L= 0;

e42..  - x368 + x384 =L= 0;

e43..  - x369 + x385 =L= 0;

e44..  - x368 + x386 =L= 0;

e45..  - x369 + x387 =L= 0;

e46..    x340 + x370 - x372 =E= 0;

e47..    x341 + x371 - x373 =E= 0;

e48..    x342 + x372 - x374 =E= 0;

e49..    x343 + x373 - x375 =E= 0;

e50..    x344 + x374 - x376 =E= 0;

e51..    x345 + x375 - x377 =E= 0;

e52..    x346 - x370 + 2*x376 - x378 =E= 0;

e53..    x347 - x371 + 2*x377 - x379 =E= 0;

e54..    x348 + x380 - x382 =E= 0;

e55..    x349 + x381 - x383 =E= 0;

e56..    x350 + x382 - x384 =E= 0;

e57..    x351 + x383 - x385 =E= 0;

e58..    x352 + x384 - x386 =E= 0;

e59..    x353 + x385 - x387 =E= 0;

e60..    x354 - x380 + 2*x386 - x388 =E= 0;

e61..    x355 - x381 + 2*x387 - x389 =E= 0;

e62.. x340*x342 + x341*x343 =E= 0;

e63.. x348*x350 + x349*x351 =E= 0;

e64..    x340 + x344 =E= 0;

e65..    x341 + x345 =E= 0;

e66..    x342 + x346 =E= 0;

e67..    x343 + x347 =E= 0;

e68..    x348 + x352 =E= 0;

e69..    x349 + x353 =E= 0;

e70..    x350 + x354 =E= 0;

e71..    x351 + x355 =E= 0;

e72.. x340*x340 + x341*x341 =E= 0.25;

e73.. x348*x348 + x349*x349 =E= 1;

e74.. x342*x342 + x343*x343 =E= 0.64;

e75.. x350*x350 + x351*x351 =E= 1;

e76.. x20*x20 + x21*x21 =E= 1;

e77..  - x21 + x22 =E= 0;

e78..    x20 + x23 =E= 0;

e79.. x20*x12 + x2 + x24 - x370 =E= 0;

e80.. x21*x12 + x3 + x25 - x371 =E= 0;

e81.. x20*x13 + x2 + x26 - x372 =E= 0;

e82.. x21*x13 + x3 + x27 - x373 =E= 0;

e83.. x20*x14 + x2 + x28 - x374 =E= 0;

e84.. x21*x14 + x3 + x29 - x375 =E= 0;

e85.. x20*x15 + x2 + x30 - x376 =E= 0;

e86.. x21*x15 + x3 + x31 - x377 =E= 0;

e87.. x20*x16 + x2 + x32 - x380 =E= 0;

e88.. x21*x16 + x3 + x33 - x381 =E= 0;

e89.. x20*x17 + x2 + x34 - x382 =E= 0;

e90.. x21*x17 + x3 + x35 - x383 =E= 0;

e91.. x20*x18 + x2 + x36 - x384 =E= 0;

e92.. x21*x18 + x3 + x37 - x385 =E= 0;

e93.. x20*x19 + x2 + x38 - x386 =E= 0;

e94.. x21*x19 + x3 + x39 - x387 =E= 0;

e95.. -x4*x22 + x24 =E= 0;

e96.. -x4*x23 + x25 =E= 0;

e97.. -x5*x22 + x26 =E= 0;

e98.. -x5*x23 + x27 =E= 0;

e99.. -x6*x22 + x28 =E= 0;

e100.. -x6*x23 + x29 =E= 0;

e101.. -x7*x22 + x30 =E= 0;

e102.. -x7*x23 + x31 =E= 0;

e103.. x8*x22 + x32 =E= 0;

e104.. x8*x23 + x33 =E= 0;

e105.. x9*x22 + x34 =E= 0;

e106.. x9*x23 + x35 =E= 0;

e107.. x10*x22 + x36 =E= 0;

e108.. x10*x23 + x37 =E= 0;

e109.. x11*x22 + x38 =E= 0;

e110.. x11*x23 + x39 =E= 0;

e111.. x172*x172 + x173*x173 =E= 1;

e112.. x174*x174 + x175*x175 =E= 1;

e113.. x176*x176 + x177*x177 =E= 1;

e114.. x178*x178 + x179*x179 =E= 1;

e115.. x180*x180 + x181*x181 =E= 1;

e116.. x182*x182 + x183*x183 =E= 1;

e117.. x184*x184 + x185*x185 =E= 1;

e118.. x186*x186 + x187*x187 =E= 1;

e119.. x188*x188 + x189*x189 =E= 1;

e120.. x190*x190 + x191*x191 =E= 1;

e121.. x192*x192 + x193*x193 =E= 1;

e122.. x194*x194 + x195*x195 =E= 1;

e123..  - x173 + x196 =E= 0;

e124..  - x175 + x198 =E= 0;

e125..  - x177 + x200 =E= 0;

e126..  - x179 + x202 =E= 0;

e127..  - x181 + x204 =E= 0;

e128..  - x183 + x206 =E= 0;

e129..  - x185 + x208 =E= 0;

e130..  - x187 + x210 =E= 0;

e131..  - x189 + x212 =E= 0;

e132..  - x191 + x214 =E= 0;

e133..  - x193 + x216 =E= 0;

e134..  - x195 + x218 =E= 0;

e135..    x172 + x197 =E= 0;

e136..    x174 + x199 =E= 0;

e137..    x176 + x201 =E= 0;

e138..    x178 + x203 =E= 0;

e139..    x180 + x205 =E= 0;

e140..    x182 + x207 =E= 0;

e141..    x184 + x209 =E= 0;

e142..    x186 + x211 =E= 0;

e143..    x188 + x213 =E= 0;

e144..    x190 + x215 =E= 0;

e145..    x192 + x217 =E= 0;

e146..    x194 + x219 =E= 0;

e147.. x172*x112 + x40 + x220 - x370 =E= 0;

e148.. x173*x112 + x41 + x221 - x371 =E= 0;

e149.. x172*x113 + x40 + x222 - x372 =E= 0;

e150.. x173*x113 + x41 + x223 - x373 =E= 0;

e151.. x172*x114 + x40 + x224 - x374 =E= 0;

e152.. x173*x114 + x41 + x225 - x375 =E= 0;

e153.. x172*x115 + x40 + x226 - x376 =E= 0;

e154.. x173*x115 + x41 + x227 - x377 =E= 0;

e155.. x174*x116 + x42 + x228 - x370 =E= 0;

e156.. x175*x116 + x43 + x229 - x371 =E= 0;

e157.. x174*x117 + x42 + x230 - x372 =E= 0;

e158.. x175*x117 + x43 + x231 - x373 =E= 0;

e159.. x174*x118 + x42 + x232 - x374 =E= 0;

e160.. x175*x118 + x43 + x233 - x375 =E= 0;

e161.. x174*x119 + x42 + x234 - x376 =E= 0;

e162.. x175*x119 + x43 + x235 - x377 =E= 0;

e163.. x176*x120 + x44 + x236 - x370 =E= 0;

e164.. x177*x120 + x45 + x237 - x371 =E= 0;

e165.. x176*x121 + x44 + x238 - x372 =E= 0;

e166.. x177*x121 + x45 + x239 - x373 =E= 0;

e167.. x176*x122 + x44 + x240 - x374 =E= 0;

e168.. x177*x122 + x45 + x241 - x375 =E= 0;

e169.. x176*x123 + x44 + x242 - x376 =E= 0;

e170.. x177*x123 + x45 + x243 - x377 =E= 0;

e171.. x178*x124 + x46 + x244 - x370 =E= 0;

e172.. x179*x124 + x47 + x245 - x371 =E= 0;

e173.. x178*x125 + x46 + x246 - x372 =E= 0;

e174.. x179*x125 + x47 + x247 - x373 =E= 0;

e175.. x178*x126 + x46 + x248 - x374 =E= 0;

e176.. x179*x126 + x47 + x249 - x375 =E= 0;

e177.. x178*x127 + x46 + x250 - x376 =E= 0;

e178.. x179*x127 + x47 + x251 - x377 =E= 0;

e179.. x180*x128 + x48 + x252 - x370 =E= 0;

e180.. x181*x128 + x49 + x253 - x371 =E= 0;

e181.. x180*x129 + x48 + x254 - x372 =E= 0;

e182.. x181*x129 + x49 + x255 - x373 =E= 0;

e183.. x180*x130 + x48 + x256 - x374 =E= 0;

e184.. x181*x130 + x49 + x257 - x375 =E= 0;

e185.. x180*x131 + x48 + x258 - x376 =E= 0;

e186.. x181*x131 + x49 + x259 - x377 =E= 0;

e187.. x182*x132 + x50 + x260 - x370 =E= 0;

e188.. x183*x132 + x51 + x261 - x371 =E= 0;

e189.. x182*x133 + x50 + x262 - x372 =E= 0;

e190.. x183*x133 + x51 + x263 - x373 =E= 0;

e191.. x182*x134 + x50 + x264 - x374 =E= 0;

e192.. x183*x134 + x51 + x265 - x375 =E= 0;

e193.. x182*x135 + x50 + x266 - x376 =E= 0;

e194.. x183*x135 + x51 + x267 - x377 =E= 0;

e195.. x184*x136 + x52 + x268 - x380 =E= 0;

e196.. x185*x136 + x53 + x269 - x381 =E= 0;

e197.. x184*x137 + x52 + x270 - x382 =E= 0;

e198.. x185*x137 + x53 + x271 - x383 =E= 0;

e199.. x184*x138 + x52 + x272 - x384 =E= 0;

e200.. x185*x138 + x53 + x273 - x385 =E= 0;

e201.. x184*x139 + x52 + x274 - x386 =E= 0;

e202.. x185*x139 + x53 + x275 - x387 =E= 0;

e203.. x186*x140 + x54 + x276 - x380 =E= 0;

e204.. x187*x140 + x55 + x277 - x381 =E= 0;

e205.. x186*x141 + x54 + x278 - x382 =E= 0;

e206.. x187*x141 + x55 + x279 - x383 =E= 0;

e207.. x186*x142 + x54 + x280 - x384 =E= 0;

e208.. x187*x142 + x55 + x281 - x385 =E= 0;

e209.. x186*x143 + x54 + x282 - x386 =E= 0;

e210.. x187*x143 + x55 + x283 - x387 =E= 0;

e211.. x188*x144 + x56 + x284 - x380 =E= 0;

e212.. x189*x144 + x57 + x285 - x381 =E= 0;

e213.. x188*x145 + x56 + x286 - x382 =E= 0;

e214.. x189*x145 + x57 + x287 - x383 =E= 0;

e215.. x188*x146 + x56 + x288 - x384 =E= 0;

e216.. x189*x146 + x57 + x289 - x385 =E= 0;

e217.. x188*x147 + x56 + x290 - x386 =E= 0;

e218.. x189*x147 + x57 + x291 - x387 =E= 0;

e219.. x190*x148 + x58 + x292 - x380 =E= 0;

e220.. x191*x148 + x59 + x293 - x381 =E= 0;

e221.. x190*x149 + x58 + x294 - x382 =E= 0;

e222.. x191*x149 + x59 + x295 - x383 =E= 0;

e223.. x190*x150 + x58 + x296 - x384 =E= 0;

e224.. x191*x150 + x59 + x297 - x385 =E= 0;

e225.. x190*x151 + x58 + x298 - x386 =E= 0;

e226.. x191*x151 + x59 + x299 - x387 =E= 0;

e227.. x192*x152 + x60 + x300 - x380 =E= 0;

e228.. x193*x152 + x61 + x301 - x381 =E= 0;

e229.. x192*x153 + x60 + x302 - x382 =E= 0;

e230.. x193*x153 + x61 + x303 - x383 =E= 0;

e231.. x192*x154 + x60 + x304 - x384 =E= 0;

e232.. x193*x154 + x61 + x305 - x385 =E= 0;

e233.. x192*x155 + x60 + x306 - x386 =E= 0;

e234.. x193*x155 + x61 + x307 - x387 =E= 0;

e235.. x194*x156 + x62 + x308 - x380 =E= 0;

e236.. x195*x156 + x63 + x309 - x381 =E= 0;

e237.. x194*x157 + x62 + x310 - x382 =E= 0;

e238.. x195*x157 + x63 + x311 - x383 =E= 0;

e239.. x194*x158 + x62 + x312 - x384 =E= 0;

e240.. x195*x158 + x63 + x313 - x385 =E= 0;

e241.. x194*x159 + x62 + x314 - x386 =E= 0;

e242.. x195*x159 + x63 + x315 - x387 =E= 0;

e243.. x172*x160 + x40 + x316 - x356 =E= 0;

e244.. x173*x160 + x41 + x317 - x357 =E= 0;

e245.. x174*x162 + x42 + x320 - x358 =E= 0;

e246.. x175*x162 + x43 + x321 - x359 =E= 0;

e247.. x176*x164 + x44 + x324 - x360 =E= 0;

e248.. x177*x164 + x45 + x325 - x361 =E= 0;

e249.. x178*x166 + x46 + x328 - x362 =E= 0;

e250.. x179*x166 + x47 + x329 - x363 =E= 0;

e251.. x180*x168 + x48 + x332 - x364 =E= 0;

e252.. x181*x168 + x49 + x333 - x365 =E= 0;

e253.. x182*x170 + x50 + x336 - x366 =E= 0;

e254.. x183*x170 + x51 + x337 - x367 =E= 0;

e255.. x184*x161 + x52 + x318 - x356 =E= 0;

e256.. x185*x161 + x53 + x319 - x357 =E= 0;

e257.. x186*x163 + x54 + x322 - x358 =E= 0;

e258.. x187*x163 + x55 + x323 - x359 =E= 0;

e259.. x188*x165 + x56 + x326 - x360 =E= 0;

e260.. x189*x165 + x57 + x327 - x361 =E= 0;

e261.. x190*x167 + x58 + x330 - x362 =E= 0;

e262.. x191*x167 + x59 + x331 - x363 =E= 0;

e263.. x192*x169 + x60 + x334 - x364 =E= 0;

e264.. x193*x169 + x61 + x335 - x365 =E= 0;

e265.. x194*x171 + x62 + x338 - x366 =E= 0;

e266.. x195*x171 + x63 + x339 - x367 =E= 0;

e267.. -x64*x196 + x220 =E= 0;

e268.. -x64*x197 + x221 =E= 0;

e269.. -x65*x196 + x222 =E= 0;

e270.. -x65*x197 + x223 =E= 0;

e271.. -x66*x196 + x224 =E= 0;

e272.. -x66*x197 + x225 =E= 0;

e273.. -x67*x196 + x226 =E= 0;

e274.. -x67*x197 + x227 =E= 0;

e275.. -x68*x198 + x228 =E= 0;

e276.. -x68*x199 + x229 =E= 0;

e277.. -x69*x198 + x230 =E= 0;

e278.. -x69*x199 + x231 =E= 0;

e279.. -x70*x198 + x232 =E= 0;

e280.. -x70*x199 + x233 =E= 0;

e281.. -x71*x198 + x234 =E= 0;

e282.. -x71*x199 + x235 =E= 0;

e283.. -x72*x200 + x236 =E= 0;

e284.. -x72*x201 + x237 =E= 0;

e285.. -x73*x200 + x238 =E= 0;

e286.. -x73*x201 + x239 =E= 0;

e287.. -x74*x200 + x240 =E= 0;

e288.. -x74*x201 + x241 =E= 0;

e289.. -x75*x200 + x242 =E= 0;

e290.. -x75*x201 + x243 =E= 0;

e291.. -x76*x202 + x244 =E= 0;

e292.. -x76*x203 + x245 =E= 0;

e293.. -x77*x202 + x246 =E= 0;

e294.. -x77*x203 + x247 =E= 0;

e295.. -x78*x202 + x248 =E= 0;

e296.. -x78*x203 + x249 =E= 0;

e297.. -x79*x202 + x250 =E= 0;

e298.. -x79*x203 + x251 =E= 0;

e299.. -x80*x204 + x252 =E= 0;

e300.. -x80*x205 + x253 =E= 0;

e301.. -x81*x204 + x254 =E= 0;

e302.. -x81*x205 + x255 =E= 0;

e303.. -x82*x204 + x256 =E= 0;

e304.. -x82*x205 + x257 =E= 0;

e305.. -x83*x204 + x258 =E= 0;

e306.. -x83*x205 + x259 =E= 0;

e307.. -x84*x206 + x260 =E= 0;

e308.. -x84*x207 + x261 =E= 0;

e309.. -x85*x206 + x262 =E= 0;

e310.. -x85*x207 + x263 =E= 0;

e311.. -x86*x206 + x264 =E= 0;

e312.. -x86*x207 + x265 =E= 0;

e313.. -x87*x206 + x266 =E= 0;

e314.. -x87*x207 + x267 =E= 0;

e315.. -x88*x208 + x268 =E= 0;

e316.. -x88*x209 + x269 =E= 0;

e317.. -x89*x208 + x270 =E= 0;

e318.. -x89*x209 + x271 =E= 0;

e319.. -x90*x208 + x272 =E= 0;

e320.. -x90*x209 + x273 =E= 0;

e321.. -x91*x208 + x274 =E= 0;

e322.. -x91*x209 + x275 =E= 0;

e323.. -x92*x210 + x276 =E= 0;

e324.. -x92*x211 + x277 =E= 0;

e325.. -x93*x210 + x278 =E= 0;

e326.. -x93*x211 + x279 =E= 0;

e327.. -x94*x210 + x280 =E= 0;

e328.. -x94*x211 + x281 =E= 0;

e329.. -x95*x210 + x282 =E= 0;

e330.. -x95*x211 + x283 =E= 0;

e331.. -x96*x212 + x284 =E= 0;

e332.. -x96*x213 + x285 =E= 0;

e333.. -x97*x212 + x286 =E= 0;

e334.. -x97*x213 + x287 =E= 0;

e335.. -x98*x212 + x288 =E= 0;

e336.. -x98*x213 + x289 =E= 0;

e337.. -x99*x212 + x290 =E= 0;

e338.. -x99*x213 + x291 =E= 0;

e339.. -x100*x214 + x292 =E= 0;

e340.. -x100*x215 + x293 =E= 0;

e341.. -x101*x214 + x294 =E= 0;

e342.. -x101*x215 + x295 =E= 0;

e343.. -x102*x214 + x296 =E= 0;

e344.. -x102*x215 + x297 =E= 0;

e345.. -x103*x214 + x298 =E= 0;

e346.. -x103*x215 + x299 =E= 0;

e347.. -x104*x216 + x300 =E= 0;

e348.. -x104*x217 + x301 =E= 0;

e349.. -x105*x216 + x302 =E= 0;

e350.. -x105*x217 + x303 =E= 0;

e351.. -x106*x216 + x304 =E= 0;

e352.. -x106*x217 + x305 =E= 0;

e353.. -x107*x216 + x306 =E= 0;

e354.. -x107*x217 + x307 =E= 0;

e355.. -x108*x218 + x308 =E= 0;

e356.. -x108*x219 + x309 =E= 0;

e357.. -x109*x218 + x310 =E= 0;

e358.. -x109*x219 + x311 =E= 0;

e359.. -x110*x218 + x312 =E= 0;

e360.. -x110*x219 + x313 =E= 0;

e361.. -x111*x218 + x314 =E= 0;

e362.. -x111*x219 + x315 =E= 0;

e363..    1.2*x196 + x316 =E= 0;

e364..    1.2*x197 + x317 =E= 0;

e365..    0.6*x198 + x320 =E= 0;

e366..    0.6*x199 + x321 =E= 0;

e367..    0.8*x200 + x324 =E= 0;

e368..    0.8*x201 + x325 =E= 0;

e369..    1.7*x202 + x328 =E= 0;

e370..    1.7*x203 + x329 =E= 0;

e371..    1.3*x204 + x332 =E= 0;

e372..    1.3*x205 + x333 =E= 0;

e373..    0.5*x206 + x336 =E= 0;

e374..    0.5*x207 + x337 =E= 0;

e375..    1.2*x208 + x318 =E= 0;

e376..    1.2*x209 + x319 =E= 0;

e377..    0.6*x210 + x322 =E= 0;

e378..    0.6*x211 + x323 =E= 0;

e379..    0.8*x212 + x326 =E= 0;

e380..    0.8*x213 + x327 =E= 0;

e381..    1.7*x214 + x330 =E= 0;

e382..    1.7*x215 + x331 =E= 0;

e383..    1.3*x216 + x334 =E= 0;

e384..    1.3*x217 + x335 =E= 0;

e385..    0.5*x218 + x338 =E= 0;

e386..    0.5*x219 + x339 =E= 0;

e387..    x356 =L= 4.5;

e388..    x357 =L= 2;

* set non-default bounds
x1.lo = 2.89; x1.up = 36;
x2.up = 9;
x3.up = 4;
x4.up = 9.84885780179611;
x5.up = 9.84885780179611;
x6.up = 9.84885780179611;
x7.up = 9.84885780179611;
x8.up = 9.84885780179611;
x9.up = 9.84885780179611;
x10.up = 9.84885780179611;
x11.up = 9.84885780179611;
x12.lo = -9.84885780179611; x12.up = 9.84885780179611;
x13.lo = -9.84885780179611; x13.up = 9.84885780179611;
x14.lo = -9.84885780179611; x14.up = 9.84885780179611;
x15.lo = -9.84885780179611; x15.up = 9.84885780179611;
x16.lo = -9.84885780179611; x16.up = 9.84885780179611;
x17.lo = -9.84885780179611; x17.up = 9.84885780179611;
x18.lo = -9.84885780179611; x18.up = 9.84885780179611;
x19.lo = -9.84885780179611; x19.up = 9.84885780179611;
x20.lo = -1; x20.up = 1;
x21.lo = -1; x21.up = 1;
x22.lo = -1; x22.up = 1;
x23.lo = -1; x23.up = 1;
x24.up = 9.84885780179611;
x25.up = 9.84885780179611;
x26.up = 9.84885780179611;
x27.up = 9.84885780179611;
x28.up = 9.84885780179611;
x29.up = 9.84885780179611;
x30.up = 9.84885780179611;
x31.up = 9.84885780179611;
x32.up = 9.84885780179611;
x33.up = 9.84885780179611;
x34.up = 9.84885780179611;
x35.up = 9.84885780179611;
x36.up = 9.84885780179611;
x37.up = 9.84885780179611;
x38.up = 9.84885780179611;
x39.up = 9.84885780179611;
x40.up = 9;
x41.up = 4;
x42.up = 9;
x43.up = 4;
x44.up = 9;
x45.up = 4;
x46.up = 9;
x47.up = 4;
x48.up = 9;
x49.up = 4;
x50.up = 9;
x51.up = 4;
x52.up = 9;
x53.up = 4;
x54.up = 9;
x55.up = 4;
x56.up = 9;
x57.up = 4;
x58.up = 9;
x59.up = 4;
x60.up = 9;
x61.up = 4;
x62.up = 9;
x63.up = 4;
x64.up = 9.84885780179611;
x65.up = 9.84885780179611;
x66.up = 9.84885780179611;
x67.up = 9.84885780179611;
x68.up = 9.84885780179611;
x69.up = 9.84885780179611;
x70.up = 9.84885780179611;
x71.up = 9.84885780179611;
x72.up = 9.84885780179611;
x73.up = 9.84885780179611;
x74.up = 9.84885780179611;
x75.up = 9.84885780179611;
x76.up = 9.84885780179611;
x77.up = 9.84885780179611;
x78.up = 9.84885780179611;
x79.up = 9.84885780179611;
x80.up = 9.84885780179611;
x81.up = 9.84885780179611;
x82.up = 9.84885780179611;
x83.up = 9.84885780179611;
x84.up = 9.84885780179611;
x85.up = 9.84885780179611;
x86.up = 9.84885780179611;
x87.up = 9.84885780179611;
x88.up = 9.84885780179611;
x89.up = 9.84885780179611;
x90.up = 9.84885780179611;
x91.up = 9.84885780179611;
x92.up = 9.84885780179611;
x93.up = 9.84885780179611;
x94.up = 9.84885780179611;
x95.up = 9.84885780179611;
x96.up = 9.84885780179611;
x97.up = 9.84885780179611;
x98.up = 9.84885780179611;
x99.up = 9.84885780179611;
x100.up = 9.84885780179611;
x101.up = 9.84885780179611;
x102.up = 9.84885780179611;
x103.up = 9.84885780179611;
x104.up = 9.84885780179611;
x105.up = 9.84885780179611;
x106.up = 9.84885780179611;
x107.up = 9.84885780179611;
x108.up = 9.84885780179611;
x109.up = 9.84885780179611;
x110.up = 9.84885780179611;
x111.up = 9.84885780179611;
x112.lo = -9.84885780179611; x112.up = 9.84885780179611;
x113.lo = -9.84885780179611; x113.up = 9.84885780179611;
x114.lo = -9.84885780179611; x114.up = 9.84885780179611;
x115.lo = -9.84885780179611; x115.up = 9.84885780179611;
x116.lo = -9.84885780179611; x116.up = 9.84885780179611;
x117.lo = -9.84885780179611; x117.up = 9.84885780179611;
x118.lo = -9.84885780179611; x118.up = 9.84885780179611;
x119.lo = -9.84885780179611; x119.up = 9.84885780179611;
x120.lo = -9.84885780179611; x120.up = 9.84885780179611;
x121.lo = -9.84885780179611; x121.up = 9.84885780179611;
x122.lo = -9.84885780179611; x122.up = 9.84885780179611;
x123.lo = -9.84885780179611; x123.up = 9.84885780179611;
x124.lo = -9.84885780179611; x124.up = 9.84885780179611;
x125.lo = -9.84885780179611; x125.up = 9.84885780179611;
x126.lo = -9.84885780179611; x126.up = 9.84885780179611;
x127.lo = -9.84885780179611; x127.up = 9.84885780179611;
x128.lo = -9.84885780179611; x128.up = 9.84885780179611;
x129.lo = -9.84885780179611; x129.up = 9.84885780179611;
x130.lo = -9.84885780179611; x130.up = 9.84885780179611;
x131.lo = -9.84885780179611; x131.up = 9.84885780179611;
x132.lo = -9.84885780179611; x132.up = 9.84885780179611;
x133.lo = -9.84885780179611; x133.up = 9.84885780179611;
x134.lo = -9.84885780179611; x134.up = 9.84885780179611;
x135.lo = -9.84885780179611; x135.up = 9.84885780179611;
x136.lo = -9.84885780179611; x136.up = 9.84885780179611;
x137.lo = -9.84885780179611; x137.up = 9.84885780179611;
x138.lo = -9.84885780179611; x138.up = 9.84885780179611;
x139.lo = -9.84885780179611; x139.up = 9.84885780179611;
x140.lo = -9.84885780179611; x140.up = 9.84885780179611;
x141.lo = -9.84885780179611; x141.up = 9.84885780179611;
x142.lo = -9.84885780179611; x142.up = 9.84885780179611;
x143.lo = -9.84885780179611; x143.up = 9.84885780179611;
x144.lo = -9.84885780179611; x144.up = 9.84885780179611;
x145.lo = -9.84885780179611; x145.up = 9.84885780179611;
x146.lo = -9.84885780179611; x146.up = 9.84885780179611;
x147.lo = -9.84885780179611; x147.up = 9.84885780179611;
x148.lo = -9.84885780179611; x148.up = 9.84885780179611;
x149.lo = -9.84885780179611; x149.up = 9.84885780179611;
x150.lo = -9.84885780179611; x150.up = 9.84885780179611;
x151.lo = -9.84885780179611; x151.up = 9.84885780179611;
x152.lo = -9.84885780179611; x152.up = 9.84885780179611;
x153.lo = -9.84885780179611; x153.up = 9.84885780179611;
x154.lo = -9.84885780179611; x154.up = 9.84885780179611;
x155.lo = -9.84885780179611; x155.up = 9.84885780179611;
x156.lo = -9.84885780179611; x156.up = 9.84885780179611;
x157.lo = -9.84885780179611; x157.up = 9.84885780179611;
x158.lo = -9.84885780179611; x158.up = 9.84885780179611;
x159.lo = -9.84885780179611; x159.up = 9.84885780179611;
x160.lo = -9.84885780179611; x160.up = 9.84885780179611;
x161.lo = -9.84885780179611; x161.up = 9.84885780179611;
x162.lo = -9.84885780179611; x162.up = 9.84885780179611;
x163.lo = -9.84885780179611; x163.up = 9.84885780179611;
x164.lo = -9.84885780179611; x164.up = 9.84885780179611;
x165.lo = -9.84885780179611; x165.up = 9.84885780179611;
x166.lo = -9.84885780179611; x166.up = 9.84885780179611;
x167.lo = -9.84885780179611; x167.up = 9.84885780179611;
x168.lo = -9.84885780179611; x168.up = 9.84885780179611;
x169.lo = -9.84885780179611; x169.up = 9.84885780179611;
x170.lo = -9.84885780179611; x170.up = 9.84885780179611;
x171.lo = -9.84885780179611; x171.up = 9.84885780179611;
x172.lo = -1; x172.up = 1;
x173.lo = -1; x173.up = 1;
x174.lo = -1; x174.up = 1;
x175.lo = -1; x175.up = 1;
x176.lo = -1; x176.up = 1;
x177.lo = -1; x177.up = 1;
x178.lo = -1; x178.up = 1;
x179.lo = -1; x179.up = 1;
x180.lo = -1; x180.up = 1;
x181.lo = -1; x181.up = 1;
x182.lo = -1; x182.up = 1;
x183.lo = -1; x183.up = 1;
x184.lo = -1; x184.up = 1;
x185.lo = -1; x185.up = 1;
x186.lo = -1; x186.up = 1;
x187.lo = -1; x187.up = 1;
x188.lo = -1; x188.up = 1;
x189.lo = -1; x189.up = 1;
x190.lo = -1; x190.up = 1;
x191.lo = -1; x191.up = 1;
x192.lo = -1; x192.up = 1;
x193.lo = -1; x193.up = 1;
x194.lo = -1; x194.up = 1;
x195.lo = -1; x195.up = 1;
x196.lo = -1; x196.up = 1;
x197.lo = -1; x197.up = 1;
x198.lo = -1; x198.up = 1;
x199.lo = -1; x199.up = 1;
x200.lo = -1; x200.up = 1;
x201.lo = -1; x201.up = 1;
x202.lo = -1; x202.up = 1;
x203.lo = -1; x203.up = 1;
x204.lo = -1; x204.up = 1;
x205.lo = -1; x205.up = 1;
x206.lo = -1; x206.up = 1;
x207.lo = -1; x207.up = 1;
x208.lo = -1; x208.up = 1;
x209.lo = -1; x209.up = 1;
x210.lo = -1; x210.up = 1;
x211.lo = -1; x211.up = 1;
x212.lo = -1; x212.up = 1;
x213.lo = -1; x213.up = 1;
x214.lo = -1; x214.up = 1;
x215.lo = -1; x215.up = 1;
x216.lo = -1; x216.up = 1;
x217.lo = -1; x217.up = 1;
x218.lo = -1; x218.up = 1;
x219.lo = -1; x219.up = 1;
x220.lo = -9.84885780179611; x220.up = 9.84885780179611;
x221.lo = -9.84885780179611; x221.up = 9.84885780179611;
x222.lo = -9.84885780179611; x222.up = 9.84885780179611;
x223.lo = -9.84885780179611; x223.up = 9.84885780179611;
x224.lo = -9.84885780179611; x224.up = 9.84885780179611;
x225.lo = -9.84885780179611; x225.up = 9.84885780179611;
x226.lo = -9.84885780179611; x226.up = 9.84885780179611;
x227.lo = -9.84885780179611; x227.up = 9.84885780179611;
x228.lo = -9.84885780179611; x228.up = 9.84885780179611;
x229.lo = -9.84885780179611; x229.up = 9.84885780179611;
x230.lo = -9.84885780179611; x230.up = 9.84885780179611;
x231.lo = -9.84885780179611; x231.up = 9.84885780179611;
x232.lo = -9.84885780179611; x232.up = 9.84885780179611;
x233.lo = -9.84885780179611; x233.up = 9.84885780179611;
x234.lo = -9.84885780179611; x234.up = 9.84885780179611;
x235.lo = -9.84885780179611; x235.up = 9.84885780179611;
x236.lo = -9.84885780179611; x236.up = 9.84885780179611;
x237.lo = -9.84885780179611; x237.up = 9.84885780179611;
x238.lo = -9.84885780179611; x238.up = 9.84885780179611;
x239.lo = -9.84885780179611; x239.up = 9.84885780179611;
x240.lo = -9.84885780179611; x240.up = 9.84885780179611;
x241.lo = -9.84885780179611; x241.up = 9.84885780179611;
x242.lo = -9.84885780179611; x242.up = 9.84885780179611;
x243.lo = -9.84885780179611; x243.up = 9.84885780179611;
x244.lo = -9.84885780179611; x244.up = 9.84885780179611;
x245.lo = -9.84885780179611; x245.up = 9.84885780179611;
x246.lo = -9.84885780179611; x246.up = 9.84885780179611;
x247.lo = -9.84885780179611; x247.up = 9.84885780179611;
x248.lo = -9.84885780179611; x248.up = 9.84885780179611;
x249.lo = -9.84885780179611; x249.up = 9.84885780179611;
x250.lo = -9.84885780179611; x250.up = 9.84885780179611;
x251.lo = -9.84885780179611; x251.up = 9.84885780179611;
x252.lo = -9.84885780179611; x252.up = 9.84885780179611;
x253.lo = -9.84885780179611; x253.up = 9.84885780179611;
x254.lo = -9.84885780179611; x254.up = 9.84885780179611;
x255.lo = -9.84885780179611; x255.up = 9.84885780179611;
x256.lo = -9.84885780179611; x256.up = 9.84885780179611;
x257.lo = -9.84885780179611; x257.up = 9.84885780179611;
x258.lo = -9.84885780179611; x258.up = 9.84885780179611;
x259.lo = -9.84885780179611; x259.up = 9.84885780179611;
x260.lo = -9.84885780179611; x260.up = 9.84885780179611;
x261.lo = -9.84885780179611; x261.up = 9.84885780179611;
x262.lo = -9.84885780179611; x262.up = 9.84885780179611;
x263.lo = -9.84885780179611; x263.up = 9.84885780179611;
x264.lo = -9.84885780179611; x264.up = 9.84885780179611;
x265.lo = -9.84885780179611; x265.up = 9.84885780179611;
x266.lo = -9.84885780179611; x266.up = 9.84885780179611;
x267.lo = -9.84885780179611; x267.up = 9.84885780179611;
x268.lo = -9.84885780179611; x268.up = 9.84885780179611;
x269.lo = -9.84885780179611; x269.up = 9.84885780179611;
x270.lo = -9.84885780179611; x270.up = 9.84885780179611;
x271.lo = -9.84885780179611; x271.up = 9.84885780179611;
x272.lo = -9.84885780179611; x272.up = 9.84885780179611;
x273.lo = -9.84885780179611; x273.up = 9.84885780179611;
x274.lo = -9.84885780179611; x274.up = 9.84885780179611;
x275.lo = -9.84885780179611; x275.up = 9.84885780179611;
x276.lo = -9.84885780179611; x276.up = 9.84885780179611;
x277.lo = -9.84885780179611; x277.up = 9.84885780179611;
x278.lo = -9.84885780179611; x278.up = 9.84885780179611;
x279.lo = -9.84885780179611; x279.up = 9.84885780179611;
x280.lo = -9.84885780179611; x280.up = 9.84885780179611;
x281.lo = -9.84885780179611; x281.up = 9.84885780179611;
x282.lo = -9.84885780179611; x282.up = 9.84885780179611;
x283.lo = -9.84885780179611; x283.up = 9.84885780179611;
x284.lo = -9.84885780179611; x284.up = 9.84885780179611;
x285.lo = -9.84885780179611; x285.up = 9.84885780179611;
x286.lo = -9.84885780179611; x286.up = 9.84885780179611;
x287.lo = -9.84885780179611; x287.up = 9.84885780179611;
x288.lo = -9.84885780179611; x288.up = 9.84885780179611;
x289.lo = -9.84885780179611; x289.up = 9.84885780179611;
x290.lo = -9.84885780179611; x290.up = 9.84885780179611;
x291.lo = -9.84885780179611; x291.up = 9.84885780179611;
x292.lo = -9.84885780179611; x292.up = 9.84885780179611;
x293.lo = -9.84885780179611; x293.up = 9.84885780179611;
x294.lo = -9.84885780179611; x294.up = 9.84885780179611;
x295.lo = -9.84885780179611; x295.up = 9.84885780179611;
x296.lo = -9.84885780179611; x296.up = 9.84885780179611;
x297.lo = -9.84885780179611; x297.up = 9.84885780179611;
x298.lo = -9.84885780179611; x298.up = 9.84885780179611;
x299.lo = -9.84885780179611; x299.up = 9.84885780179611;
x300.lo = -9.84885780179611; x300.up = 9.84885780179611;
x301.lo = -9.84885780179611; x301.up = 9.84885780179611;
x302.lo = -9.84885780179611; x302.up = 9.84885780179611;
x303.lo = -9.84885780179611; x303.up = 9.84885780179611;
x304.lo = -9.84885780179611; x304.up = 9.84885780179611;
x305.lo = -9.84885780179611; x305.up = 9.84885780179611;
x306.lo = -9.84885780179611; x306.up = 9.84885780179611;
x307.lo = -9.84885780179611; x307.up = 9.84885780179611;
x308.lo = -9.84885780179611; x308.up = 9.84885780179611;
x309.lo = -9.84885780179611; x309.up = 9.84885780179611;
x310.lo = -9.84885780179611; x310.up = 9.84885780179611;
x311.lo = -9.84885780179611; x311.up = 9.84885780179611;
x312.lo = -9.84885780179611; x312.up = 9.84885780179611;
x313.lo = -9.84885780179611; x313.up = 9.84885780179611;
x314.lo = -9.84885780179611; x314.up = 9.84885780179611;
x315.lo = -9.84885780179611; x315.up = 9.84885780179611;
x316.lo = -9.84885780179611; x316.up = 9.84885780179611;
x317.lo = -9.84885780179611; x317.up = 9.84885780179611;
x318.lo = -9.84885780179611; x318.up = 9.84885780179611;
x319.lo = -9.84885780179611; x319.up = 9.84885780179611;
x320.lo = -9.84885780179611; x320.up = 9.84885780179611;
x321.lo = -9.84885780179611; x321.up = 9.84885780179611;
x322.lo = -9.84885780179611; x322.up = 9.84885780179611;
x323.lo = -9.84885780179611; x323.up = 9.84885780179611;
x324.lo = -9.84885780179611; x324.up = 9.84885780179611;
x325.lo = -9.84885780179611; x325.up = 9.84885780179611;
x326.lo = -9.84885780179611; x326.up = 9.84885780179611;
x327.lo = -9.84885780179611; x327.up = 9.84885780179611;
x328.lo = -9.84885780179611; x328.up = 9.84885780179611;
x329.lo = -9.84885780179611; x329.up = 9.84885780179611;
x330.lo = -9.84885780179611; x330.up = 9.84885780179611;
x331.lo = -9.84885780179611; x331.up = 9.84885780179611;
x332.lo = -9.84885780179611; x332.up = 9.84885780179611;
x333.lo = -9.84885780179611; x333.up = 9.84885780179611;
x334.lo = -9.84885780179611; x334.up = 9.84885780179611;
x335.lo = -9.84885780179611; x335.up = 9.84885780179611;
x336.lo = -9.84885780179611; x336.up = 9.84885780179611;
x337.lo = -9.84885780179611; x337.up = 9.84885780179611;
x338.lo = -9.84885780179611; x338.up = 9.84885780179611;
x339.lo = -9.84885780179611; x339.up = 9.84885780179611;
x340.lo = -0.8; x340.up = 0.8;
x341.lo = -0.5; x341.up = 0.5;
x342.lo = -0.8; x342.up = 0.8;
x343.lo = -0.5; x343.up = 0.5;
x344.lo = -0.8; x344.up = 0.8;
x345.lo = -0.5; x345.up = 0.5;
x346.lo = -0.8; x346.up = 0.8;
x347.lo = -0.5; x347.up = 0.5;
x348.lo = -1; x348.up = 1;
x349.lo = -1; x349.up = 1;
x350.lo = -1; x350.up = 1;
x351.lo = -1; x351.up = 1;
x352.lo = -1; x352.up = 1;
x353.lo = -1; x353.up = 1;
x354.lo = -1; x354.up = 1;
x355.lo = -1; x355.up = 1;
x356.lo = 1.2; x356.up = 7.8;
x357.lo = 1.2; x357.up = 2.8;
x358.lo = 0.6; x358.up = 8.4;
x359.lo = 0.6; x359.up = 3.4;
x360.lo = 0.8; x360.up = 8.2;
x361.lo = 0.8; x361.up = 3.2;
x362.lo = 1.7; x362.up = 7.3;
x363.lo = 1.7; x363.up = 2.3;
x364.lo = 1.3; x364.up = 7.7;
x365.lo = 1.3; x365.up = 2.7;
x366.lo = 0.5; x366.up = 8.5;
x367.lo = 0.5; x367.up = 3.5;
x368.up = 9;
x369.up = 4;
x370.up = 9;
x371.up = 4;
x372.up = 9;
x373.up = 4;
x374.up = 9;
x375.up = 4;
x376.up = 9;
x377.up = 4;
x378.up = 9;
x379.up = 4;
x380.up = 9;
x381.up = 4;
x382.up = 9;
x383.up = 4;
x384.up = 9;
x385.up = 4;
x386.up = 9;
x387.up = 4;
x388.up = 9;
x389.up = 4;
objvar.lo = 0; objvar.up = 36;

Model m / all /;

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

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

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


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