MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance squfl010-040
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.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -576.90649990 (ALPHAECP) 240.59485050 (ANTIGONE) 240.59852590 (BARON) 240.59852600 (BONMIN) 240.59834470 (COUENNE) 240.59852620 (CPLEX) 240.59852620 (GUROBI) 240.59852620 (LINDO) 240.59852400 (SCIP) 240.59852620 (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ⓘ | MBQP |
| #Variablesⓘ | 410 |
| #Binary Variablesⓘ | 10 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 400 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 410 |
| #Nonlinear Nonzeros in Objectiveⓘ | 400 |
| #Constraintsⓘ | 440 |
| #Linear Constraintsⓘ | 440 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 1200 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 400 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 400 |
| #Blocks in Hessian of Lagrangianⓘ | 400 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 9.6000e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 441 41 0 400 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 411 401 10 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1611 1211 400 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,b401,b402
,b403,b404,b405,b406,b407,b408,b409,b410,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400;
Binary Variables b401,b402,b403,b404,b405,b406,b407,b408,b409,b410;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441;
e1.. -(22.6381215938389*x1*x1 + 17.4766742929333*x2*x2 + 25.4187922554943*x3*x3
+ 27.1035680108328*x4*x4 + 23.5265920480145*x5*x5 + 15.0632062277023*x6*
x6 + 20.9421663198548*x7*x7 + 26.8892056897746*x8*x8 + 20.0917422875622*x9
*x9 + 22.0772847970411*x10*x10 + 27.2388846140546*x11*x11 +
9.91963706190005*x12*x12 + 19.7178101724914*x13*x13 + 24.8309507278873*x14
*x14 + 8.9002697856764*x15*x15 + 16.6041126627463*x16*x16 +
20.9076060331827*x17*x17 + 16.4388004434191*x18*x18 + 16.5182812638846*x19
*x19 + 9.88089720278549*x20*x20 + 12.1667353823901*x21*x21 +
24.3980080339173*x22*x22 + 5.89692650301416*x23*x23 + 27.3832431206695*x24
*x24 + 25.1917920228286*x25*x25 + 22.2371740468545*x26*x26 +
18.6146514682277*x27*x27 + 16.2386002137011*x28*x28 + 11.7825630607253*x29
*x29 + 16.4103192237971*x30*x30 + 14.0196662324014*x31*x31 +
27.5888902829072*x32*x32 + 32.1142581799004*x33*x33 + 21.8448948139885*x34
*x34 + 15.6688171723033*x35*x35 + 10.5878182197044*x36*x36 +
21.2659919405636*x37*x37 + 19.9399176135982*x38*x38 + 20.4104873074429*x39
*x39 + 13.8610580105744*x40*x40 + 45.1831182079448*x41*x41 +
41.8922529723062*x42*x42 + 25.9983886435708*x43*x43 + 18.4146205683989*x44
*x44 + 44.4508052690104*x45*x45 + 43.222614022418*x46*x46 +
7.83087186917261*x47*x47 + 44.0974324424632*x48*x48 + 24.1032080114607*x49
*x49 + 21.3901261474851*x50*x50 + 14.2786694069753*x51*x51 +
19.6496550606165*x52*x52 + 37.1545124093958*x53*x53 + 48.6880643503487*x54
*x54 + 37.4288246723691*x55*x55 + 21.1065932390664*x56*x56 +
8.59743563059761*x57*x57 + 43.7082794462957*x58*x58 + 26.9893113680541*x59
*x59 + 38.4147587357678*x60*x60 + 27.6431119850894*x61*x61 +
27.2081707885029*x62*x62 + 26.180086548645*x63*x63 + 23.4793052891068*x64*
x64 + 8.05600976794875*x65*x65 + 43.6070455642507*x66*x66 +
45.5814383894113*x67*x67 + 24.8259847424505*x68*x68 + 40.3429322999097*x69
*x69 + 34.7333648360789*x70*x70 + 39.6370142018807*x71*x71 +
15.7319707168115*x72*x72 + 10.2078177848558*x73*x73 + 33.6787428698496*x74
*x74 + 40.2454233156587*x75*x75 + 36.634811099167*x76*x76 + 22.27676876787
*x77*x77 + 26.5232783828231*x78*x78 + 43.5517742892559*x79*x79 +
41.5350353466256*x80*x80 + 41.8335888980131*x81*x81 + 48.5376172984876*x82
*x82 + 38.3466968942412*x83*x83 + 8.41612312434711*x84*x84 +
52.7549779687686*x85*x85 + 47.0825798478005*x86*x86 + 17.3796675041212*x87
*x87 + 38.1234862605185*x88*x88 + 35.3396889090277*x89*x89 +
14.4643524524883*x90*x90 + 5.34829959943684*x91*x91 + 22.2653351256225*x92
*x92 + 46.2454200528829*x93*x93 + 55.8374582944024*x94*x94 +
40.6308664485861*x95*x95 + 31.4335072617773*x96*x96 + 13.4112067223631*x97
*x97 + 48.5696936037444*x98*x98 + 36.8993023115838*x99*x99 +
40.9836123190193*x100*x100 + 25.6312719069291*x101*x101 + 39.2062655130486
*x102*x102 + 27.5420044062431*x103*x103 + 13.2995411207383*x104*x104 +
8.46899828859079*x105*x105 + 39.825353158153*x106*x106 + 50.7145370144725*
x107*x107 + 20.9305616681182*x108*x108 + 43.0974611923811*x109*x109 +
31.2589828634291*x110*x110 + 39.0004467733683*x111*x111 + 5.85207457485276
*x112*x112 + 4.05707679016365*x113*x113 + 27.4118952163913*x114*x114 +
46.7403642600311*x115*x115 + 42.1857296019859*x116*x116 + 33.9770380372982
*x117*x117 + 37.4815569098476*x118*x118 + 40.7766875146816*x119*x119 +
42.3432110912681*x120*x120 + 41.8096676388354*x121*x121 + 18.5696808935251
*x122*x122 + 7.58990279485765*x123*x123 + 37.8694515922791*x124*x124 +
17.7230764563209*x125*x125 + 25.4760814821429*x126*x126 + 21.7375222978638
*x127*x127 + 46.2693611273112*x128*x128 + 4.54660149955549*x129*x129 +
35.4495510183106*x130*x130 + 35.7984880582191*x131*x131 + 21.901140187113*
x132*x132 + 10.0418757457177*x133*x133 + 23.3064810423527*x134*x134 +
23.3941126275948*x135*x135 + 7.47045385542959*x136*x136 + 25.5396143114494
*x137*x137 + 23.6714747719547*x138*x138 + 2.96080784760476*x139*x139 +
25.3193751498536*x140*x140 + 30.0182424556163*x141*x141 + 5.83084524853944
*x142*x142 + 23.6514987581814*x143*x143 + 40.5072826571826*x144*x144 +
30.4312990116754*x145*x145 + 41.5896374550884*x146*x146 + 24.501600970022*
x147*x147 + 32.2666564456072*x148*x148 + 26.024154868957*x149*x149 +
35.6018006285022*x150*x150 + 32.7659324359211*x151*x151 + 36.8394615362202
*x152*x152 + 36.7889144303202*x153*x153 + 40.0508174481167*x154*x154 +
17.6775070488635*x155*x155 + 17.579862644958*x156*x156 + 6.86014064091719*
x157*x157 + 2.07714802960749*x158*x158 + 39.5431633780402*x159*x159 +
30.9129885122014*x160*x160 + 53.7186648061791*x161*x161 + 34.3820347456099
*x162*x162 + 8.45720703763966*x163*x163 + 39.0462093345896*x164*x164 +
32.8211593848664*x165*x165 + 40.7771865823617*x166*x166 + 20.6422254432407
*x167*x167 + 56.3016199376175*x168*x168 + 12.2817800194979*x169*x169 +
39.2313614019054*x170*x170 + 35.6110459801796*x171*x171 + 28.8191322549938
*x172*x172 + 25.4018036358971*x173*x173 + 38.7666408171936*x174*x174 +
37.6390516445844*x175*x175 + 14.7674823830956*x176*x176 + 25.5404894453816
*x177*x177 + 39.3018592559483*x178*x178 + 17.3036764948037*x179*x179 +
39.4235548336344*x180*x180 + 38.6270585541198*x181*x181 + 10.4664070033472
*x182*x182 + 33.421447798866*x183*x183 + 43.2253499251171*x184*x184 +
29.0353047005975*x185*x185 + 52.9939023039257*x186*x186 + 40.257102945243*
x187*x187 + 38.860600314683*x188*x188 + 40.5310486179103*x189*x189 +
45.4664216368371*x190*x190 + 45.3664020287264*x191*x191 + 36.9853554415264
*x192*x192 + 33.2334839165221*x193*x193 + 47.9235093921672*x194*x194 +
33.4578416904374*x195*x195 + 32.7840695566077*x196*x196 + 10.3918855404927
*x197*x197 + 13.9412830659727*x198*x198 + 51.5589519223998*x199*x199 +
44.6297171500498*x200*x200 + 5.03578594523779*x201*x201 + 37.4404577512541
*x202*x202 + 52.2890120452314*x203*x203 + 34.3084269352542*x204*x204 +
44.9435455193515*x205*x205 + 28.2352259654236*x206*x206 + 41.8904668111533
*x207*x207 + 5.64271600685258*x208*x208 + 46.9476166854874*x209*x209 +
28.204133151871*x210*x210 + 37.5697000911988*x211*x211 + 29.66685902145*
x212*x212 + 44.3764783036202*x213*x213 + 42.7306933628219*x214*x214 +
25.0259194658902*x215*x215 + 43.1543462837962*x216*x216 + 38.9006762532103
*x217*x217 + 31.8503621890833*x218*x218 + 43.4090648742872*x219*x219 +
23.2155495830162*x220*x220 + 20.0548712314252*x221*x221 + 51.322679415969*
x222*x222 + 24.1985866512624*x223*x223 + 30.2876618075196*x224*x224 +
40.4277171009428*x225*x225 + 4.69431032029112*x226*x226 + 33.5837934597402
*x227*x227 + 22.7256264744553*x228*x228 + 23.9555349956953*x229*x229 +
12.7864503611938*x230*x230 + 14.1149460489645*x231*x231 + 36.790909599442*
x232*x232 + 45.0817317430598*x233*x233 + 15.318409918112*x234*x234 +
36.253786112845*x235*x235 + 32.0416926874248*x236*x236 + 47.9306160802448*
x237*x237 + 46.8674235171167*x238*x238 + 7.18399099787989*x239*x239 +
18.0505401904308*x240*x240 + 44.7287111449789*x241*x241 + 30.6232755828315
*x242*x242 + 10.6771654987561*x243*x243 + 29.3059852713714*x244*x244 +
31.3354092780053*x245*x245 + 34.9201089470929*x246*x246 + 10.911707849544*
x247*x247 + 46.6447152040867*x248*x248 + 9.38377945719671*x249*x249 +
29.1364340056671*x250*x250 + 26.1399401773719*x251*x251 + 18.9877774506963
*x252*x252 + 23.6766288819354*x253*x253 + 36.4709352709649*x254*x254 +
30.6126660558619*x255*x255 + 8.20138795993052*x256*x256 + 15.7574588196867
*x257*x257 + 34.2383277706259*x258*x258 + 13.514731450789*x259*x259 +
32.1889581251023*x260*x260 + 28.8756832982819*x261*x261 + 11.8955819083831
*x262*x262 + 24.1432327217846*x263*x263 + 33.2672158516152*x264*x264 +
19.762672671567*x265*x265 + 43.8078485358854*x266*x266 + 35.6517872406019*
x267*x267 + 28.7979036742901*x268*x268 + 33.6355449186036*x269*x269 +
35.8971159030184*x270*x270 + 36.883677189865*x271*x271 + 27.4515367392261*
x272*x272 + 24.9528026830374*x273*x273 + 37.9312228071009*x274*x274 +
29.2837944824625*x275*x275 + 27.1625585907911*x276*x276 + 7.2350848701947*
x277*x277 + 11.9047505480768*x278*x278 + 42.6513971007399*x279*x279 +
36.89043170665*x280*x280 + 6.64903572985773*x281*x281 + 36.3350815872672*
x282*x282 + 48.6146960230928*x283*x283 + 28.7530636938365*x284*x284 +
43.7434810880439*x285*x285 + 27.8630451485851*x286*x286 + 36.8692783297684
*x287*x287 + 3.33752527142452*x288*x288 + 43.2844490902929*x289*x289 +
22.6485467323464*x290*x290 + 32.0169563988473*x291*x291 + 24.9793841704878
*x292*x292 + 42.2539841897742*x293*x293 + 42.2898290850982*x294*x294 +
23.535071385932*x295*x295 + 39.2722131698529*x296*x296 + 33.6652138664848*
x297*x297 + 31.365585927833*x298*x298 + 40.1272627793756*x299*x299 +
21.9477510844632*x300*x300 + 15.1450838827131*x301*x301 + 47.8018420811269
*x302*x302 + 20.0524699401293*x303*x303 + 24.793197977801*x304*x304 +
34.9939202568467*x305*x305 + 4.46451261754726*x306*x306 + 33.3198013233866
*x307*x307 + 17.3256727590746*x308*x308 + 23.1352262436616*x309*x309 +
7.97110816789644*x310*x310 + 12.8672542662809*x311*x311 + 31.2323288225166
*x312*x312 + 39.5401264290339*x313*x313 + 9.79632624179721*x314*x314 +
34.9550685057948*x315*x315 + 30.3129022151735*x316*x316 + 44.0718410417534
*x317*x317 + 43.443587696992*x318*x318 + 7.46032996003402*x319*x319 +
17.6385972587031*x320*x320 + 47.3623560393508*x321*x321 + 28.076068317874*
x322*x322 + 3.94519676151653*x323*x323 + 35.7463602537431*x324*x324 +
27.2510415470059*x325*x325 + 34.1223028388969*x326*x326 + 17.5567214281191
*x327*x327 + 50.3743988099625*x328*x328 + 5.6590918620866*x329*x329 +
34.9780577982336*x330*x330 + 32.778655850946*x331*x331 + 23.3213666648354*
x332*x332 + 19.6231746010511*x333*x333 + 32.9468637652925*x334*x334 +
30.9395752881326*x335*x335 + 8.25314573977791*x336*x336 + 22.282009707736*
x337*x337 + 32.7487371347579*x338*x338 + 10.732706072358*x339*x339 +
32.7319606989467*x340*x340 + 32.8999121905967*x341*x341 + 5.55476070673105
*x342*x342 + 27.3378028092636*x343*x343 + 39.4220274031084*x344*x344 +
26.5179831202782*x345*x345 + 46.73622174105*x346*x346 + 33.7929660091746*
x347*x347 + 33.6946284279739*x348*x348 + 33.8270327751106*x349*x349 +
39.5062161815598*x350*x350 + 38.8560640891196*x351*x351 + 34.0495249267681
*x352*x352 + 31.8172613223881*x353*x353 + 42.5075613284177*x354*x354 +
27.0453220696648*x355*x355 + 26.1304188859277*x356*x356 + 3.69037126260968
*x357*x357 + 7.63043300249988*x358*x358 + 45.1739476749785*x359*x359 +
37.9751942193799*x360*x360 + 20.7529705896298*x361*x361 + 14.3893321866194
*x362*x362 + 28.0817490698092*x363*x363 + 31.4238046558608*x364*x364 +
21.2794747772648*x365*x365 + 10.1834356269501*x366*x366 + 25.9014119165658
*x367*x367 + 26.4883984185792*x368*x368 + 22.9076512770755*x369*x369 +
25.997089184782*x370*x370 + 31.8823915967004*x371*x371 + 14.8080477345421*
x372*x372 + 19.1010850759357*x373*x373 + 21.4509246095069*x374*x374 +
3.88397054710166*x375*x375 + 20.0589377640637*x376*x376 + 25.9149998836053
*x377*x377 + 11.9924452452965*x378*x378 + 18.6176990335993*x379*x379 +
5.02472422177832*x380*x380 + 14.8008188904632*x381*x381 + 26.7875251230091
*x382*x382 + 9.67687108012286*x383*x383 + 31.1767205303097*x384*x384 +
30.1406979856964*x385*x385 + 20.8511059740515*x386*x386 + 14.2363298453376
*x387*x387 + 19.5722735572342*x388*x388 + 6.80248295322444*x389*x389 +
16.9867420360034*x390*x390 + 11.5518321715263*x391*x391 + 32.1358835441953
*x392*x392 + 37.0226994405158*x393*x393 + 23.4627429415224*x394*x394 +
12.7078688009999*x395*x395 + 7.58658819030826*x396*x396 + 24.4312631498729
*x397*x397 + 22.2514570586902*x398*x398 + 18.4755526211779*x399*x399 +
9.86807133301415*x400*x400) - 62*b401 - 3*b402 - 68*b403 - 19*b404
- 9*b405 - 18*b406 - 48*b407 - 44*b408 - 96*b409 - 25*b410 + objvar =E= 0
;
e2.. x1 - b401 =L= 0;
e3.. x2 - b401 =L= 0;
e4.. x3 - b401 =L= 0;
e5.. x4 - b401 =L= 0;
e6.. x5 - b401 =L= 0;
e7.. x6 - b401 =L= 0;
e8.. x7 - b401 =L= 0;
e9.. x8 - b401 =L= 0;
e10.. x9 - b401 =L= 0;
e11.. x10 - b401 =L= 0;
e12.. x11 - b401 =L= 0;
e13.. x12 - b401 =L= 0;
e14.. x13 - b401 =L= 0;
e15.. x14 - b401 =L= 0;
e16.. x15 - b401 =L= 0;
e17.. x16 - b401 =L= 0;
e18.. x17 - b401 =L= 0;
e19.. x18 - b401 =L= 0;
e20.. x19 - b401 =L= 0;
e21.. x20 - b401 =L= 0;
e22.. x21 - b401 =L= 0;
e23.. x22 - b401 =L= 0;
e24.. x23 - b401 =L= 0;
e25.. x24 - b401 =L= 0;
e26.. x25 - b401 =L= 0;
e27.. x26 - b401 =L= 0;
e28.. x27 - b401 =L= 0;
e29.. x28 - b401 =L= 0;
e30.. x29 - b401 =L= 0;
e31.. x30 - b401 =L= 0;
e32.. x31 - b401 =L= 0;
e33.. x32 - b401 =L= 0;
e34.. x33 - b401 =L= 0;
e35.. x34 - b401 =L= 0;
e36.. x35 - b401 =L= 0;
e37.. x36 - b401 =L= 0;
e38.. x37 - b401 =L= 0;
e39.. x38 - b401 =L= 0;
e40.. x39 - b401 =L= 0;
e41.. x40 - b401 =L= 0;
e42.. x41 - b402 =L= 0;
e43.. x42 - b402 =L= 0;
e44.. x43 - b402 =L= 0;
e45.. x44 - b402 =L= 0;
e46.. x45 - b402 =L= 0;
e47.. x46 - b402 =L= 0;
e48.. x47 - b402 =L= 0;
e49.. x48 - b402 =L= 0;
e50.. x49 - b402 =L= 0;
e51.. x50 - b402 =L= 0;
e52.. x51 - b402 =L= 0;
e53.. x52 - b402 =L= 0;
e54.. x53 - b402 =L= 0;
e55.. x54 - b402 =L= 0;
e56.. x55 - b402 =L= 0;
e57.. x56 - b402 =L= 0;
e58.. x57 - b402 =L= 0;
e59.. x58 - b402 =L= 0;
e60.. x59 - b402 =L= 0;
e61.. x60 - b402 =L= 0;
e62.. x61 - b402 =L= 0;
e63.. x62 - b402 =L= 0;
e64.. x63 - b402 =L= 0;
e65.. x64 - b402 =L= 0;
e66.. x65 - b402 =L= 0;
e67.. x66 - b402 =L= 0;
e68.. x67 - b402 =L= 0;
e69.. x68 - b402 =L= 0;
e70.. x69 - b402 =L= 0;
e71.. x70 - b402 =L= 0;
e72.. x71 - b402 =L= 0;
e73.. x72 - b402 =L= 0;
e74.. x73 - b402 =L= 0;
e75.. x74 - b402 =L= 0;
e76.. x75 - b402 =L= 0;
e77.. x76 - b402 =L= 0;
e78.. x77 - b402 =L= 0;
e79.. x78 - b402 =L= 0;
e80.. x79 - b402 =L= 0;
e81.. x80 - b402 =L= 0;
e82.. x81 - b403 =L= 0;
e83.. x82 - b403 =L= 0;
e84.. x83 - b403 =L= 0;
e85.. x84 - b403 =L= 0;
e86.. x85 - b403 =L= 0;
e87.. x86 - b403 =L= 0;
e88.. x87 - b403 =L= 0;
e89.. x88 - b403 =L= 0;
e90.. x89 - b403 =L= 0;
e91.. x90 - b403 =L= 0;
e92.. x91 - b403 =L= 0;
e93.. x92 - b403 =L= 0;
e94.. x93 - b403 =L= 0;
e95.. x94 - b403 =L= 0;
e96.. x95 - b403 =L= 0;
e97.. x96 - b403 =L= 0;
e98.. x97 - b403 =L= 0;
e99.. x98 - b403 =L= 0;
e100.. x99 - b403 =L= 0;
e101.. x100 - b403 =L= 0;
e102.. x101 - b403 =L= 0;
e103.. x102 - b403 =L= 0;
e104.. x103 - b403 =L= 0;
e105.. x104 - b403 =L= 0;
e106.. x105 - b403 =L= 0;
e107.. x106 - b403 =L= 0;
e108.. x107 - b403 =L= 0;
e109.. x108 - b403 =L= 0;
e110.. x109 - b403 =L= 0;
e111.. x110 - b403 =L= 0;
e112.. x111 - b403 =L= 0;
e113.. x112 - b403 =L= 0;
e114.. x113 - b403 =L= 0;
e115.. x114 - b403 =L= 0;
e116.. x115 - b403 =L= 0;
e117.. x116 - b403 =L= 0;
e118.. x117 - b403 =L= 0;
e119.. x118 - b403 =L= 0;
e120.. x119 - b403 =L= 0;
e121.. x120 - b403 =L= 0;
e122.. x121 - b404 =L= 0;
e123.. x122 - b404 =L= 0;
e124.. x123 - b404 =L= 0;
e125.. x124 - b404 =L= 0;
e126.. x125 - b404 =L= 0;
e127.. x126 - b404 =L= 0;
e128.. x127 - b404 =L= 0;
e129.. x128 - b404 =L= 0;
e130.. x129 - b404 =L= 0;
e131.. x130 - b404 =L= 0;
e132.. x131 - b404 =L= 0;
e133.. x132 - b404 =L= 0;
e134.. x133 - b404 =L= 0;
e135.. x134 - b404 =L= 0;
e136.. x135 - b404 =L= 0;
e137.. x136 - b404 =L= 0;
e138.. x137 - b404 =L= 0;
e139.. x138 - b404 =L= 0;
e140.. x139 - b404 =L= 0;
e141.. x140 - b404 =L= 0;
e142.. x141 - b404 =L= 0;
e143.. x142 - b404 =L= 0;
e144.. x143 - b404 =L= 0;
e145.. x144 - b404 =L= 0;
e146.. x145 - b404 =L= 0;
e147.. x146 - b404 =L= 0;
e148.. x147 - b404 =L= 0;
e149.. x148 - b404 =L= 0;
e150.. x149 - b404 =L= 0;
e151.. x150 - b404 =L= 0;
e152.. x151 - b404 =L= 0;
e153.. x152 - b404 =L= 0;
e154.. x153 - b404 =L= 0;
e155.. x154 - b404 =L= 0;
e156.. x155 - b404 =L= 0;
e157.. x156 - b404 =L= 0;
e158.. x157 - b404 =L= 0;
e159.. x158 - b404 =L= 0;
e160.. x159 - b404 =L= 0;
e161.. x160 - b404 =L= 0;
e162.. x161 - b405 =L= 0;
e163.. x162 - b405 =L= 0;
e164.. x163 - b405 =L= 0;
e165.. x164 - b405 =L= 0;
e166.. x165 - b405 =L= 0;
e167.. x166 - b405 =L= 0;
e168.. x167 - b405 =L= 0;
e169.. x168 - b405 =L= 0;
e170.. x169 - b405 =L= 0;
e171.. x170 - b405 =L= 0;
e172.. x171 - b405 =L= 0;
e173.. x172 - b405 =L= 0;
e174.. x173 - b405 =L= 0;
e175.. x174 - b405 =L= 0;
e176.. x175 - b405 =L= 0;
e177.. x176 - b405 =L= 0;
e178.. x177 - b405 =L= 0;
e179.. x178 - b405 =L= 0;
e180.. x179 - b405 =L= 0;
e181.. x180 - b405 =L= 0;
e182.. x181 - b405 =L= 0;
e183.. x182 - b405 =L= 0;
e184.. x183 - b405 =L= 0;
e185.. x184 - b405 =L= 0;
e186.. x185 - b405 =L= 0;
e187.. x186 - b405 =L= 0;
e188.. x187 - b405 =L= 0;
e189.. x188 - b405 =L= 0;
e190.. x189 - b405 =L= 0;
e191.. x190 - b405 =L= 0;
e192.. x191 - b405 =L= 0;
e193.. x192 - b405 =L= 0;
e194.. x193 - b405 =L= 0;
e195.. x194 - b405 =L= 0;
e196.. x195 - b405 =L= 0;
e197.. x196 - b405 =L= 0;
e198.. x197 - b405 =L= 0;
e199.. x198 - b405 =L= 0;
e200.. x199 - b405 =L= 0;
e201.. x200 - b405 =L= 0;
e202.. x201 - b406 =L= 0;
e203.. x202 - b406 =L= 0;
e204.. x203 - b406 =L= 0;
e205.. x204 - b406 =L= 0;
e206.. x205 - b406 =L= 0;
e207.. x206 - b406 =L= 0;
e208.. x207 - b406 =L= 0;
e209.. x208 - b406 =L= 0;
e210.. x209 - b406 =L= 0;
e211.. x210 - b406 =L= 0;
e212.. x211 - b406 =L= 0;
e213.. x212 - b406 =L= 0;
e214.. x213 - b406 =L= 0;
e215.. x214 - b406 =L= 0;
e216.. x215 - b406 =L= 0;
e217.. x216 - b406 =L= 0;
e218.. x217 - b406 =L= 0;
e219.. x218 - b406 =L= 0;
e220.. x219 - b406 =L= 0;
e221.. x220 - b406 =L= 0;
e222.. x221 - b406 =L= 0;
e223.. x222 - b406 =L= 0;
e224.. x223 - b406 =L= 0;
e225.. x224 - b406 =L= 0;
e226.. x225 - b406 =L= 0;
e227.. x226 - b406 =L= 0;
e228.. x227 - b406 =L= 0;
e229.. x228 - b406 =L= 0;
e230.. x229 - b406 =L= 0;
e231.. x230 - b406 =L= 0;
e232.. x231 - b406 =L= 0;
e233.. x232 - b406 =L= 0;
e234.. x233 - b406 =L= 0;
e235.. x234 - b406 =L= 0;
e236.. x235 - b406 =L= 0;
e237.. x236 - b406 =L= 0;
e238.. x237 - b406 =L= 0;
e239.. x238 - b406 =L= 0;
e240.. x239 - b406 =L= 0;
e241.. x240 - b406 =L= 0;
e242.. x241 - b407 =L= 0;
e243.. x242 - b407 =L= 0;
e244.. x243 - b407 =L= 0;
e245.. x244 - b407 =L= 0;
e246.. x245 - b407 =L= 0;
e247.. x246 - b407 =L= 0;
e248.. x247 - b407 =L= 0;
e249.. x248 - b407 =L= 0;
e250.. x249 - b407 =L= 0;
e251.. x250 - b407 =L= 0;
e252.. x251 - b407 =L= 0;
e253.. x252 - b407 =L= 0;
e254.. x253 - b407 =L= 0;
e255.. x254 - b407 =L= 0;
e256.. x255 - b407 =L= 0;
e257.. x256 - b407 =L= 0;
e258.. x257 - b407 =L= 0;
e259.. x258 - b407 =L= 0;
e260.. x259 - b407 =L= 0;
e261.. x260 - b407 =L= 0;
e262.. x261 - b407 =L= 0;
e263.. x262 - b407 =L= 0;
e264.. x263 - b407 =L= 0;
e265.. x264 - b407 =L= 0;
e266.. x265 - b407 =L= 0;
e267.. x266 - b407 =L= 0;
e268.. x267 - b407 =L= 0;
e269.. x268 - b407 =L= 0;
e270.. x269 - b407 =L= 0;
e271.. x270 - b407 =L= 0;
e272.. x271 - b407 =L= 0;
e273.. x272 - b407 =L= 0;
e274.. x273 - b407 =L= 0;
e275.. x274 - b407 =L= 0;
e276.. x275 - b407 =L= 0;
e277.. x276 - b407 =L= 0;
e278.. x277 - b407 =L= 0;
e279.. x278 - b407 =L= 0;
e280.. x279 - b407 =L= 0;
e281.. x280 - b407 =L= 0;
e282.. x281 - b408 =L= 0;
e283.. x282 - b408 =L= 0;
e284.. x283 - b408 =L= 0;
e285.. x284 - b408 =L= 0;
e286.. x285 - b408 =L= 0;
e287.. x286 - b408 =L= 0;
e288.. x287 - b408 =L= 0;
e289.. x288 - b408 =L= 0;
e290.. x289 - b408 =L= 0;
e291.. x290 - b408 =L= 0;
e292.. x291 - b408 =L= 0;
e293.. x292 - b408 =L= 0;
e294.. x293 - b408 =L= 0;
e295.. x294 - b408 =L= 0;
e296.. x295 - b408 =L= 0;
e297.. x296 - b408 =L= 0;
e298.. x297 - b408 =L= 0;
e299.. x298 - b408 =L= 0;
e300.. x299 - b408 =L= 0;
e301.. x300 - b408 =L= 0;
e302.. x301 - b408 =L= 0;
e303.. x302 - b408 =L= 0;
e304.. x303 - b408 =L= 0;
e305.. x304 - b408 =L= 0;
e306.. x305 - b408 =L= 0;
e307.. x306 - b408 =L= 0;
e308.. x307 - b408 =L= 0;
e309.. x308 - b408 =L= 0;
e310.. x309 - b408 =L= 0;
e311.. x310 - b408 =L= 0;
e312.. x311 - b408 =L= 0;
e313.. x312 - b408 =L= 0;
e314.. x313 - b408 =L= 0;
e315.. x314 - b408 =L= 0;
e316.. x315 - b408 =L= 0;
e317.. x316 - b408 =L= 0;
e318.. x317 - b408 =L= 0;
e319.. x318 - b408 =L= 0;
e320.. x319 - b408 =L= 0;
e321.. x320 - b408 =L= 0;
e322.. x321 - b409 =L= 0;
e323.. x322 - b409 =L= 0;
e324.. x323 - b409 =L= 0;
e325.. x324 - b409 =L= 0;
e326.. x325 - b409 =L= 0;
e327.. x326 - b409 =L= 0;
e328.. x327 - b409 =L= 0;
e329.. x328 - b409 =L= 0;
e330.. x329 - b409 =L= 0;
e331.. x330 - b409 =L= 0;
e332.. x331 - b409 =L= 0;
e333.. x332 - b409 =L= 0;
e334.. x333 - b409 =L= 0;
e335.. x334 - b409 =L= 0;
e336.. x335 - b409 =L= 0;
e337.. x336 - b409 =L= 0;
e338.. x337 - b409 =L= 0;
e339.. x338 - b409 =L= 0;
e340.. x339 - b409 =L= 0;
e341.. x340 - b409 =L= 0;
e342.. x341 - b409 =L= 0;
e343.. x342 - b409 =L= 0;
e344.. x343 - b409 =L= 0;
e345.. x344 - b409 =L= 0;
e346.. x345 - b409 =L= 0;
e347.. x346 - b409 =L= 0;
e348.. x347 - b409 =L= 0;
e349.. x348 - b409 =L= 0;
e350.. x349 - b409 =L= 0;
e351.. x350 - b409 =L= 0;
e352.. x351 - b409 =L= 0;
e353.. x352 - b409 =L= 0;
e354.. x353 - b409 =L= 0;
e355.. x354 - b409 =L= 0;
e356.. x355 - b409 =L= 0;
e357.. x356 - b409 =L= 0;
e358.. x357 - b409 =L= 0;
e359.. x358 - b409 =L= 0;
e360.. x359 - b409 =L= 0;
e361.. x360 - b409 =L= 0;
e362.. x361 - b410 =L= 0;
e363.. x362 - b410 =L= 0;
e364.. x363 - b410 =L= 0;
e365.. x364 - b410 =L= 0;
e366.. x365 - b410 =L= 0;
e367.. x366 - b410 =L= 0;
e368.. x367 - b410 =L= 0;
e369.. x368 - b410 =L= 0;
e370.. x369 - b410 =L= 0;
e371.. x370 - b410 =L= 0;
e372.. x371 - b410 =L= 0;
e373.. x372 - b410 =L= 0;
e374.. x373 - b410 =L= 0;
e375.. x374 - b410 =L= 0;
e376.. x375 - b410 =L= 0;
e377.. x376 - b410 =L= 0;
e378.. x377 - b410 =L= 0;
e379.. x378 - b410 =L= 0;
e380.. x379 - b410 =L= 0;
e381.. x380 - b410 =L= 0;
e382.. x381 - b410 =L= 0;
e383.. x382 - b410 =L= 0;
e384.. x383 - b410 =L= 0;
e385.. x384 - b410 =L= 0;
e386.. x385 - b410 =L= 0;
e387.. x386 - b410 =L= 0;
e388.. x387 - b410 =L= 0;
e389.. x388 - b410 =L= 0;
e390.. x389 - b410 =L= 0;
e391.. x390 - b410 =L= 0;
e392.. x391 - b410 =L= 0;
e393.. x392 - b410 =L= 0;
e394.. x393 - b410 =L= 0;
e395.. x394 - b410 =L= 0;
e396.. x395 - b410 =L= 0;
e397.. x396 - b410 =L= 0;
e398.. x397 - b410 =L= 0;
e399.. x398 - b410 =L= 0;
e400.. x399 - b410 =L= 0;
e401.. x400 - b410 =L= 0;
e402.. x1 + x41 + x81 + x121 + x161 + x201 + x241 + x281 + x321 + x361 =E= 1
;
e403.. x2 + x42 + x82 + x122 + x162 + x202 + x242 + x282 + x322 + x362 =E= 1
;
e404.. x3 + x43 + x83 + x123 + x163 + x203 + x243 + x283 + x323 + x363 =E= 1
;
e405.. x4 + x44 + x84 + x124 + x164 + x204 + x244 + x284 + x324 + x364 =E= 1
;
e406.. x5 + x45 + x85 + x125 + x165 + x205 + x245 + x285 + x325 + x365 =E= 1
;
e407.. x6 + x46 + x86 + x126 + x166 + x206 + x246 + x286 + x326 + x366 =E= 1
;
e408.. x7 + x47 + x87 + x127 + x167 + x207 + x247 + x287 + x327 + x367 =E= 1
;
e409.. x8 + x48 + x88 + x128 + x168 + x208 + x248 + x288 + x328 + x368 =E= 1
;
e410.. x9 + x49 + x89 + x129 + x169 + x209 + x249 + x289 + x329 + x369 =E= 1
;
e411.. x10 + x50 + x90 + x130 + x170 + x210 + x250 + x290 + x330 + x370
=E= 1;
e412.. x11 + x51 + x91 + x131 + x171 + x211 + x251 + x291 + x331 + x371
=E= 1;
e413.. x12 + x52 + x92 + x132 + x172 + x212 + x252 + x292 + x332 + x372
=E= 1;
e414.. x13 + x53 + x93 + x133 + x173 + x213 + x253 + x293 + x333 + x373
=E= 1;
e415.. x14 + x54 + x94 + x134 + x174 + x214 + x254 + x294 + x334 + x374
=E= 1;
e416.. x15 + x55 + x95 + x135 + x175 + x215 + x255 + x295 + x335 + x375
=E= 1;
e417.. x16 + x56 + x96 + x136 + x176 + x216 + x256 + x296 + x336 + x376
=E= 1;
e418.. x17 + x57 + x97 + x137 + x177 + x217 + x257 + x297 + x337 + x377
=E= 1;
e419.. x18 + x58 + x98 + x138 + x178 + x218 + x258 + x298 + x338 + x378
=E= 1;
e420.. x19 + x59 + x99 + x139 + x179 + x219 + x259 + x299 + x339 + x379
=E= 1;
e421.. x20 + x60 + x100 + x140 + x180 + x220 + x260 + x300 + x340 + x380
=E= 1;
e422.. x21 + x61 + x101 + x141 + x181 + x221 + x261 + x301 + x341 + x381
=E= 1;
e423.. x22 + x62 + x102 + x142 + x182 + x222 + x262 + x302 + x342 + x382
=E= 1;
e424.. x23 + x63 + x103 + x143 + x183 + x223 + x263 + x303 + x343 + x383
=E= 1;
e425.. x24 + x64 + x104 + x144 + x184 + x224 + x264 + x304 + x344 + x384
=E= 1;
e426.. x25 + x65 + x105 + x145 + x185 + x225 + x265 + x305 + x345 + x385
=E= 1;
e427.. x26 + x66 + x106 + x146 + x186 + x226 + x266 + x306 + x346 + x386
=E= 1;
e428.. x27 + x67 + x107 + x147 + x187 + x227 + x267 + x307 + x347 + x387
=E= 1;
e429.. x28 + x68 + x108 + x148 + x188 + x228 + x268 + x308 + x348 + x388
=E= 1;
e430.. x29 + x69 + x109 + x149 + x189 + x229 + x269 + x309 + x349 + x389
=E= 1;
e431.. x30 + x70 + x110 + x150 + x190 + x230 + x270 + x310 + x350 + x390
=E= 1;
e432.. x31 + x71 + x111 + x151 + x191 + x231 + x271 + x311 + x351 + x391
=E= 1;
e433.. x32 + x72 + x112 + x152 + x192 + x232 + x272 + x312 + x352 + x392
=E= 1;
e434.. x33 + x73 + x113 + x153 + x193 + x233 + x273 + x313 + x353 + x393
=E= 1;
e435.. x34 + x74 + x114 + x154 + x194 + x234 + x274 + x314 + x354 + x394
=E= 1;
e436.. x35 + x75 + x115 + x155 + x195 + x235 + x275 + x315 + x355 + x395
=E= 1;
e437.. x36 + x76 + x116 + x156 + x196 + x236 + x276 + x316 + x356 + x396
=E= 1;
e438.. x37 + x77 + x117 + x157 + x197 + x237 + x277 + x317 + x357 + x397
=E= 1;
e439.. x38 + x78 + x118 + x158 + x198 + x238 + x278 + x318 + x358 + x398
=E= 1;
e440.. x39 + x79 + x119 + x159 + x199 + x239 + x279 + x319 + x359 + x399
=E= 1;
e441.. x40 + x80 + x120 + x160 + x200 + x240 + x280 + x320 + x360 + x400
=E= 1;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc