MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance chain200
Formatsⓘ | ams gms mod nl osil py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 0.08256615 (ANTIGONE) -377.41491420 (BARON) -219.01837510 (COUENNE) -114.85333800 (LINDO) -284.66318710 (SCIP) |
Referencesⓘ | Cesari, L, Optimization - Theory and Applications, Springer Verlag, 1983. Dolan, E D and More, J J, Benchmarking Optimization Software with COPS, Tech. Rep. ANL/MCS-246, Mathematics and Computer Science Division, 2000. |
Sourceⓘ | GAMS Model Library model chain, Constrained Optimization Problem Set (COPS) |
Applicationⓘ | Hanging Chain |
Added to libraryⓘ | 31 Jul 2001 |
Problem typeⓘ | NLP |
#Variablesⓘ | 402 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 402 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | nonlinear |
Objective curvatureⓘ | indefinite |
#Nonzeros in Objectiveⓘ | 402 |
#Nonlinear Nonzeros in Objectiveⓘ | 402 |
#Constraintsⓘ | 201 |
#Linear Constraintsⓘ | 200 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 1 |
Operands in Gen. Nonlin. Functionsⓘ | mul sqr sqrt |
Constraints curvatureⓘ | indefinite |
#Nonzeros in Jacobianⓘ | 1001 |
#Nonlinear Nonzeros in Jacobianⓘ | 201 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 603 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 201 |
#Blocks in Hessian of Lagrangianⓘ | 201 |
Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
Maximal blocksize in Hessian of Lagrangianⓘ | 2 |
Average blocksize in Hessian of Lagrangianⓘ | 2.0 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 2.5000e-03 |
Maximal coefficientⓘ | 1.0000e+00 |
Infeasibility of initial pointⓘ | 1.193 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 202 202 0 0 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 403 403 0 0 0 0 0 0 * FX 2 * * Nonzero counts * Total const NL DLL * 1404 801 603 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 ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402 ,objvar; 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; e1.. -0.0025*(sqrt(1 + sqr(x202))*x1 + sqrt(1 + sqr(x203))*x2 + sqrt(1 + sqr( x203))*x2 + sqrt(1 + sqr(x204))*x3 + sqrt(1 + sqr(x204))*x3 + sqrt(1 + sqr(x205))*x4 + sqrt(1 + sqr(x205))*x4 + sqrt(1 + sqr(x206))*x5 + sqrt(1 + sqr(x206))*x5 + sqrt(1 + sqr(x207))*x6 + sqrt(1 + sqr(x207))*x6 + sqrt( 1 + sqr(x208))*x7 + sqrt(1 + sqr(x208))*x7 + sqrt(1 + sqr(x209))*x8 + sqrt(1 + sqr(x209))*x8 + sqrt(1 + sqr(x210))*x9 + sqrt(1 + sqr(x210))*x9 + sqrt(1 + sqr(x211))*x10 + sqrt(1 + sqr(x211))*x10 + sqrt(1 + sqr(x212)) *x11 + sqrt(1 + sqr(x212))*x11 + sqrt(1 + sqr(x213))*x12 + sqrt(1 + sqr( x213))*x12 + sqrt(1 + sqr(x214))*x13 + sqrt(1 + sqr(x214))*x13 + sqrt(1 + sqr(x215))*x14 + sqrt(1 + sqr(x215))*x14 + sqrt(1 + sqr(x216))*x15 + sqrt( 1 + sqr(x216))*x15 + sqrt(1 + sqr(x217))*x16 + sqrt(1 + sqr(x217))*x16 + sqrt(1 + sqr(x218))*x17 + sqrt(1 + sqr(x218))*x17 + sqrt(1 + sqr(x219))* x18 + sqrt(1 + sqr(x219))*x18 + sqrt(1 + sqr(x220))*x19 + sqrt(1 + sqr( x220))*x19 + sqrt(1 + sqr(x221))*x20 + sqrt(1 + sqr(x221))*x20 + sqrt(1 + sqr(x222))*x21 + sqrt(1 + sqr(x222))*x21 + sqrt(1 + sqr(x223))*x22 + sqrt( 1 + sqr(x223))*x22 + sqrt(1 + sqr(x224))*x23 + sqrt(1 + sqr(x224))*x23 + sqrt(1 + sqr(x225))*x24 + sqrt(1 + sqr(x225))*x24 + sqrt(1 + sqr(x226))* x25 + sqrt(1 + sqr(x226))*x25 + sqrt(1 + sqr(x227))*x26 + sqrt(1 + sqr( x227))*x26 + sqrt(1 + sqr(x228))*x27 + sqrt(1 + sqr(x228))*x27 + sqrt(1 + sqr(x229))*x28 + sqrt(1 + sqr(x229))*x28 + sqrt(1 + sqr(x230))*x29 + sqrt( 1 + sqr(x230))*x29 + sqrt(1 + sqr(x231))*x30 + sqrt(1 + sqr(x231))*x30 + sqrt(1 + sqr(x232))*x31 + sqrt(1 + sqr(x232))*x31 + sqrt(1 + sqr(x233))* x32 + sqrt(1 + sqr(x233))*x32 + sqrt(1 + sqr(x234))*x33 + sqrt(1 + sqr( x234))*x33 + sqrt(1 + sqr(x235))*x34 + sqrt(1 + sqr(x235))*x34 + sqrt(1 + sqr(x236))*x35 + sqrt(1 + sqr(x236))*x35 + sqrt(1 + sqr(x237))*x36 + sqrt( 1 + sqr(x237))*x36 + sqrt(1 + sqr(x238))*x37 + sqrt(1 + sqr(x238))*x37 + sqrt(1 + sqr(x239))*x38 + sqrt(1 + sqr(x239))*x38 + sqrt(1 + sqr(x240))* x39 + sqrt(1 + sqr(x240))*x39 + sqrt(1 + sqr(x241))*x40 + sqrt(1 + sqr( x241))*x40 + sqrt(1 + sqr(x242))*x41 + sqrt(1 + sqr(x242))*x41 + sqrt(1 + sqr(x243))*x42 + sqrt(1 + sqr(x243))*x42 + sqrt(1 + sqr(x244))*x43 + sqrt( 1 + sqr(x244))*x43 + sqrt(1 + sqr(x245))*x44 + sqrt(1 + sqr(x245))*x44 + sqrt(1 + sqr(x246))*x45 + sqrt(1 + sqr(x246))*x45 + sqrt(1 + sqr(x247))* x46 + sqrt(1 + sqr(x247))*x46 + sqrt(1 + sqr(x248))*x47 + sqrt(1 + sqr( x248))*x47 + sqrt(1 + sqr(x249))*x48 + sqrt(1 + sqr(x249))*x48 + sqrt(1 + sqr(x250))*x49 + sqrt(1 + sqr(x250))*x49 + sqrt(1 + sqr(x251))*x50 + sqrt( 1 + sqr(x251))*x50 + sqrt(1 + sqr(x252))*x51 + sqrt(1 + sqr(x252))*x51 + sqrt(1 + sqr(x253))*x52 + sqrt(1 + sqr(x253))*x52 + sqrt(1 + sqr(x254))* x53 + sqrt(1 + sqr(x254))*x53 + sqrt(1 + sqr(x255))*x54 + sqrt(1 + sqr( x255))*x54 + sqrt(1 + sqr(x256))*x55 + sqrt(1 + sqr(x256))*x55 + sqrt(1 + sqr(x257))*x56 + sqrt(1 + sqr(x257))*x56 + sqrt(1 + sqr(x258))*x57 + sqrt( 1 + sqr(x258))*x57 + sqrt(1 + sqr(x259))*x58 + sqrt(1 + sqr(x259))*x58 + sqrt(1 + sqr(x260))*x59 + sqrt(1 + sqr(x260))*x59 + sqrt(1 + sqr(x261))* x60 + sqrt(1 + sqr(x261))*x60 + sqrt(1 + sqr(x262))*x61 + sqrt(1 + sqr( x262))*x61 + sqrt(1 + sqr(x263))*x62 + sqrt(1 + sqr(x263))*x62 + sqrt(1 + sqr(x264))*x63 + sqrt(1 + sqr(x264))*x63 + sqrt(1 + sqr(x265))*x64 + sqrt( 1 + sqr(x265))*x64 + sqrt(1 + sqr(x266))*x65 + sqrt(1 + sqr(x266))*x65 + sqrt(1 + sqr(x267))*x66 + sqrt(1 + sqr(x267))*x66 + sqrt(1 + sqr(x268))* x67 + sqrt(1 + sqr(x268))*x67 + sqrt(1 + sqr(x269))*x68 + sqrt(1 + sqr( x269))*x68 + sqrt(1 + sqr(x270))*x69 + sqrt(1 + sqr(x270))*x69 + sqrt(1 + sqr(x271))*x70 + sqrt(1 + sqr(x271))*x70 + sqrt(1 + sqr(x272))*x71 + sqrt( 1 + sqr(x272))*x71 + sqrt(1 + sqr(x273))*x72 + sqrt(1 + sqr(x273))*x72 + sqrt(1 + sqr(x274))*x73 + sqrt(1 + sqr(x274))*x73 + sqrt(1 + sqr(x275))* x74 + sqrt(1 + sqr(x275))*x74 + sqrt(1 + sqr(x276))*x75 + sqrt(1 + sqr( x276))*x75 + sqrt(1 + sqr(x277))*x76 + sqrt(1 + sqr(x277))*x76 + sqrt(1 + sqr(x278))*x77 + sqrt(1 + sqr(x278))*x77 + sqrt(1 + sqr(x279))*x78 + sqrt( 1 + sqr(x279))*x78 + sqrt(1 + sqr(x280))*x79 + sqrt(1 + sqr(x280))*x79 + sqrt(1 + sqr(x281))*x80 + sqrt(1 + sqr(x281))*x80 + sqrt(1 + sqr(x282))* x81 + sqrt(1 + sqr(x282))*x81 + sqrt(1 + sqr(x283))*x82 + sqrt(1 + sqr( x283))*x82 + sqrt(1 + sqr(x284))*x83 + sqrt(1 + sqr(x284))*x83 + sqrt(1 + sqr(x285))*x84 + sqrt(1 + sqr(x285))*x84 + sqrt(1 + sqr(x286))*x85 + sqrt( 1 + sqr(x286))*x85 + sqrt(1 + sqr(x287))*x86 + sqrt(1 + sqr(x287))*x86 + sqrt(1 + sqr(x288))*x87 + sqrt(1 + sqr(x288))*x87 + sqrt(1 + sqr(x289))* x88 + sqrt(1 + sqr(x289))*x88 + sqrt(1 + sqr(x290))*x89 + sqrt(1 + sqr( x290))*x89 + sqrt(1 + sqr(x291))*x90 + sqrt(1 + sqr(x291))*x90 + sqrt(1 + sqr(x292))*x91 + sqrt(1 + sqr(x292))*x91 + sqrt(1 + sqr(x293))*x92 + sqrt( 1 + sqr(x293))*x92 + sqrt(1 + sqr(x294))*x93 + sqrt(1 + sqr(x294))*x93 + sqrt(1 + sqr(x295))*x94 + sqrt(1 + sqr(x295))*x94 + sqrt(1 + sqr(x296))* x95 + sqrt(1 + sqr(x296))*x95 + sqrt(1 + sqr(x297))*x96 + sqrt(1 + sqr( x297))*x96 + sqrt(1 + sqr(x298))*x97 + sqrt(1 + sqr(x298))*x97 + sqrt(1 + sqr(x299))*x98 + sqrt(1 + sqr(x299))*x98 + sqrt(1 + sqr(x300))*x99 + sqrt( 1 + sqr(x300))*x99 + sqrt(1 + sqr(x301))*x100 + sqrt(1 + sqr(x301))*x100 + sqrt(1 + sqr(x302))*x101 + sqrt(1 + sqr(x302))*x101 + sqrt(1 + sqr(x303 ))*x102 + sqrt(1 + sqr(x303))*x102 + sqrt(1 + sqr(x304))*x103 + sqrt(1 + sqr(x304))*x103 + sqrt(1 + sqr(x305))*x104 + sqrt(1 + sqr(x305))*x104 + sqrt(1 + sqr(x306))*x105 + sqrt(1 + sqr(x306))*x105 + sqrt(1 + sqr(x307))* x106 + sqrt(1 + sqr(x307))*x106 + sqrt(1 + sqr(x308))*x107 + sqrt(1 + sqr( x308))*x107 + sqrt(1 + sqr(x309))*x108 + sqrt(1 + sqr(x309))*x108 + sqrt(1 + sqr(x310))*x109 + sqrt(1 + sqr(x310))*x109 + sqrt(1 + sqr(x311))*x110 + sqrt(1 + sqr(x311))*x110 + sqrt(1 + sqr(x312))*x111 + sqrt(1 + sqr(x312 ))*x111 + sqrt(1 + sqr(x313))*x112 + sqrt(1 + sqr(x313))*x112 + sqrt(1 + sqr(x314))*x113 + sqrt(1 + sqr(x314))*x113 + sqrt(1 + sqr(x315))*x114 + sqrt(1 + sqr(x315))*x114 + sqrt(1 + sqr(x316))*x115 + sqrt(1 + sqr(x316))* x115 + sqrt(1 + sqr(x317))*x116 + sqrt(1 + sqr(x317))*x116 + sqrt(1 + sqr( x318))*x117 + sqrt(1 + sqr(x318))*x117 + sqrt(1 + sqr(x319))*x118 + sqrt(1 + sqr(x319))*x118 + sqrt(1 + sqr(x320))*x119 + sqrt(1 + sqr(x320))*x119 + sqrt(1 + sqr(x321))*x120 + sqrt(1 + sqr(x321))*x120 + sqrt(1 + sqr(x322 ))*x121 + sqrt(1 + sqr(x322))*x121 + sqrt(1 + sqr(x323))*x122 + sqrt(1 + sqr(x323))*x122 + sqrt(1 + sqr(x324))*x123 + sqrt(1 + sqr(x324))*x123 + sqrt(1 + sqr(x325))*x124 + sqrt(1 + sqr(x325))*x124 + sqrt(1 + sqr(x326))* x125 + sqrt(1 + sqr(x326))*x125 + sqrt(1 + sqr(x327))*x126 + sqrt(1 + sqr( x327))*x126 + sqrt(1 + sqr(x328))*x127 + sqrt(1 + sqr(x328))*x127 + sqrt(1 + sqr(x329))*x128 + sqrt(1 + sqr(x329))*x128 + sqrt(1 + sqr(x330))*x129 + sqrt(1 + sqr(x330))*x129 + sqrt(1 + sqr(x331))*x130 + sqrt(1 + sqr(x331 ))*x130 + sqrt(1 + sqr(x332))*x131 + sqrt(1 + sqr(x332))*x131 + sqrt(1 + sqr(x333))*x132 + sqrt(1 + sqr(x333))*x132 + sqrt(1 + sqr(x334))*x133 + sqrt(1 + sqr(x334))*x133 + sqrt(1 + sqr(x335))*x134 + sqrt(1 + sqr(x335))* x134 + sqrt(1 + sqr(x336))*x135 + sqrt(1 + sqr(x336))*x135 + sqrt(1 + sqr( x337))*x136 + sqrt(1 + sqr(x337))*x136 + sqrt(1 + sqr(x338))*x137 + sqrt(1 + sqr(x338))*x137 + sqrt(1 + sqr(x339))*x138 + sqrt(1 + sqr(x339))*x138 + sqrt(1 + sqr(x340))*x139 + sqrt(1 + sqr(x340))*x139 + sqrt(1 + sqr(x341 ))*x140 + sqrt(1 + sqr(x341))*x140 + sqrt(1 + sqr(x342))*x141 + sqrt(1 + sqr(x342))*x141 + sqrt(1 + sqr(x343))*x142 + sqrt(1 + sqr(x343))*x142 + sqrt(1 + sqr(x344))*x143 + sqrt(1 + sqr(x344))*x143 + sqrt(1 + sqr(x345))* x144 + sqrt(1 + sqr(x345))*x144 + sqrt(1 + sqr(x346))*x145 + sqrt(1 + sqr( x346))*x145 + sqrt(1 + sqr(x347))*x146 + sqrt(1 + sqr(x347))*x146 + sqrt(1 + sqr(x348))*x147 + sqrt(1 + sqr(x348))*x147 + sqrt(1 + sqr(x349))*x148 + sqrt(1 + sqr(x349))*x148 + sqrt(1 + sqr(x350))*x149 + sqrt(1 + sqr(x350 ))*x149 + sqrt(1 + sqr(x351))*x150 + sqrt(1 + sqr(x351))*x150 + sqrt(1 + sqr(x352))*x151 + sqrt(1 + sqr(x352))*x151 + sqrt(1 + sqr(x353))*x152 + sqrt(1 + sqr(x353))*x152 + sqrt(1 + sqr(x354))*x153 + sqrt(1 + sqr(x354))* x153 + sqrt(1 + sqr(x355))*x154 + sqrt(1 + sqr(x355))*x154 + sqrt(1 + sqr( x356))*x155 + sqrt(1 + sqr(x356))*x155 + sqrt(1 + sqr(x357))*x156 + sqrt(1 + sqr(x357))*x156 + sqrt(1 + sqr(x358))*x157 + sqrt(1 + sqr(x358))*x157 + sqrt(1 + sqr(x359))*x158 + sqrt(1 + sqr(x359))*x158 + sqrt(1 + sqr(x360 ))*x159 + sqrt(1 + sqr(x360))*x159 + sqrt(1 + sqr(x361))*x160 + sqrt(1 + sqr(x361))*x160 + sqrt(1 + sqr(x362))*x161 + sqrt(1 + sqr(x362))*x161 + sqrt(1 + sqr(x363))*x162 + sqrt(1 + sqr(x363))*x162 + sqrt(1 + sqr(x364))* x163 + sqrt(1 + sqr(x364))*x163 + sqrt(1 + sqr(x365))*x164 + sqrt(1 + sqr( x365))*x164 + sqrt(1 + sqr(x366))*x165 + sqrt(1 + sqr(x366))*x165 + sqrt(1 + sqr(x367))*x166 + sqrt(1 + sqr(x367))*x166 + sqrt(1 + sqr(x368))*x167 + sqrt(1 + sqr(x368))*x167 + sqrt(1 + sqr(x369))*x168 + sqrt(1 + sqr(x369 ))*x168 + sqrt(1 + sqr(x370))*x169 + sqrt(1 + sqr(x370))*x169 + sqrt(1 + sqr(x371))*x170 + sqrt(1 + sqr(x371))*x170 + sqrt(1 + sqr(x372))*x171 + sqrt(1 + sqr(x372))*x171 + sqrt(1 + sqr(x373))*x172 + sqrt(1 + sqr(x373))* x172 + sqrt(1 + sqr(x374))*x173 + sqrt(1 + sqr(x374))*x173 + sqrt(1 + sqr( x375))*x174 + sqrt(1 + sqr(x375))*x174 + sqrt(1 + sqr(x376))*x175 + sqrt(1 + sqr(x376))*x175 + sqrt(1 + sqr(x377))*x176 + sqrt(1 + sqr(x377))*x176 + sqrt(1 + sqr(x378))*x177 + sqrt(1 + sqr(x378))*x177 + sqrt(1 + sqr(x379 ))*x178 + sqrt(1 + sqr(x379))*x178 + sqrt(1 + sqr(x380))*x179 + sqrt(1 + sqr(x380))*x179 + sqrt(1 + sqr(x381))*x180 + sqrt(1 + sqr(x381))*x180 + sqrt(1 + sqr(x382))*x181 + sqrt(1 + sqr(x382))*x181 + sqrt(1 + sqr(x383))* x182 + sqrt(1 + sqr(x383))*x182 + sqrt(1 + sqr(x384))*x183 + sqrt(1 + sqr( x384))*x183 + sqrt(1 + sqr(x385))*x184 + sqrt(1 + sqr(x385))*x184 + sqrt(1 + sqr(x386))*x185 + sqrt(1 + sqr(x386))*x185 + sqrt(1 + sqr(x387))*x186 + sqrt(1 + sqr(x387))*x186 + sqrt(1 + sqr(x388))*x187 + sqrt(1 + sqr(x388 ))*x187 + sqrt(1 + sqr(x389))*x188 + sqrt(1 + sqr(x389))*x188 + sqrt(1 + sqr(x390))*x189 + sqrt(1 + sqr(x390))*x189 + sqrt(1 + sqr(x391))*x190 + sqrt(1 + sqr(x391))*x190 + sqrt(1 + sqr(x392))*x191 + sqrt(1 + sqr(x392))* x191 + sqrt(1 + sqr(x393))*x192 + sqrt(1 + sqr(x393))*x192 + sqrt(1 + sqr( x394))*x193 + sqrt(1 + sqr(x394))*x193 + sqrt(1 + sqr(x395))*x194 + sqrt(1 + sqr(x395))*x194 + sqrt(1 + sqr(x396))*x195 + sqrt(1 + sqr(x396))*x195 + sqrt(1 + sqr(x397))*x196 + sqrt(1 + sqr(x397))*x196 + sqrt(1 + sqr(x398 ))*x197 + sqrt(1 + sqr(x398))*x197 + sqrt(1 + sqr(x399))*x198 + sqrt(1 + sqr(x399))*x198 + sqrt(1 + sqr(x400))*x199 + sqrt(1 + sqr(x400))*x199 + sqrt(1 + sqr(x401))*x200 + sqrt(1 + sqr(x401))*x200 + sqrt(1 + sqr(x402))* x201) + objvar =E= 0; e2.. - x1 + x2 - 0.0025*x202 - 0.0025*x203 =E= 0; e3.. - x2 + x3 - 0.0025*x203 - 0.0025*x204 =E= 0; e4.. - x3 + x4 - 0.0025*x204 - 0.0025*x205 =E= 0; e5.. - x4 + x5 - 0.0025*x205 - 0.0025*x206 =E= 0; e6.. - x5 + x6 - 0.0025*x206 - 0.0025*x207 =E= 0; e7.. - x6 + x7 - 0.0025*x207 - 0.0025*x208 =E= 0; e8.. - x7 + x8 - 0.0025*x208 - 0.0025*x209 =E= 0; e9.. - x8 + x9 - 0.0025*x209 - 0.0025*x210 =E= 0; e10.. - x9 + x10 - 0.0025*x210 - 0.0025*x211 =E= 0; e11.. - x10 + x11 - 0.0025*x211 - 0.0025*x212 =E= 0; e12.. - x11 + x12 - 0.0025*x212 - 0.0025*x213 =E= 0; e13.. - x12 + x13 - 0.0025*x213 - 0.0025*x214 =E= 0; e14.. - x13 + x14 - 0.0025*x214 - 0.0025*x215 =E= 0; e15.. - x14 + x15 - 0.0025*x215 - 0.0025*x216 =E= 0; e16.. - x15 + x16 - 0.0025*x216 - 0.0025*x217 =E= 0; e17.. - x16 + x17 - 0.0025*x217 - 0.0025*x218 =E= 0; e18.. - x17 + x18 - 0.0025*x218 - 0.0025*x219 =E= 0; e19.. - x18 + x19 - 0.0025*x219 - 0.0025*x220 =E= 0; e20.. - x19 + x20 - 0.0025*x220 - 0.0025*x221 =E= 0; e21.. - x20 + x21 - 0.0025*x221 - 0.0025*x222 =E= 0; e22.. - x21 + x22 - 0.0025*x222 - 0.0025*x223 =E= 0; e23.. - x22 + x23 - 0.0025*x223 - 0.0025*x224 =E= 0; e24.. - x23 + x24 - 0.0025*x224 - 0.0025*x225 =E= 0; e25.. - x24 + x25 - 0.0025*x225 - 0.0025*x226 =E= 0; e26.. - x25 + x26 - 0.0025*x226 - 0.0025*x227 =E= 0; e27.. - x26 + x27 - 0.0025*x227 - 0.0025*x228 =E= 0; e28.. - x27 + x28 - 0.0025*x228 - 0.0025*x229 =E= 0; e29.. - x28 + x29 - 0.0025*x229 - 0.0025*x230 =E= 0; e30.. - x29 + x30 - 0.0025*x230 - 0.0025*x231 =E= 0; e31.. - x30 + x31 - 0.0025*x231 - 0.0025*x232 =E= 0; e32.. - x31 + x32 - 0.0025*x232 - 0.0025*x233 =E= 0; e33.. - x32 + x33 - 0.0025*x233 - 0.0025*x234 =E= 0; e34.. - x33 + x34 - 0.0025*x234 - 0.0025*x235 =E= 0; e35.. - x34 + x35 - 0.0025*x235 - 0.0025*x236 =E= 0; e36.. - x35 + x36 - 0.0025*x236 - 0.0025*x237 =E= 0; e37.. - x36 + x37 - 0.0025*x237 - 0.0025*x238 =E= 0; e38.. - x37 + x38 - 0.0025*x238 - 0.0025*x239 =E= 0; e39.. - x38 + x39 - 0.0025*x239 - 0.0025*x240 =E= 0; e40.. - x39 + x40 - 0.0025*x240 - 0.0025*x241 =E= 0; e41.. - x40 + x41 - 0.0025*x241 - 0.0025*x242 =E= 0; e42.. - x41 + x42 - 0.0025*x242 - 0.0025*x243 =E= 0; e43.. - x42 + x43 - 0.0025*x243 - 0.0025*x244 =E= 0; e44.. - x43 + x44 - 0.0025*x244 - 0.0025*x245 =E= 0; e45.. - x44 + x45 - 0.0025*x245 - 0.0025*x246 =E= 0; e46.. - x45 + x46 - 0.0025*x246 - 0.0025*x247 =E= 0; e47.. - x46 + x47 - 0.0025*x247 - 0.0025*x248 =E= 0; e48.. - x47 + x48 - 0.0025*x248 - 0.0025*x249 =E= 0; e49.. - x48 + x49 - 0.0025*x249 - 0.0025*x250 =E= 0; e50.. - x49 + x50 - 0.0025*x250 - 0.0025*x251 =E= 0; e51.. - x50 + x51 - 0.0025*x251 - 0.0025*x252 =E= 0; e52.. - x51 + x52 - 0.0025*x252 - 0.0025*x253 =E= 0; e53.. - x52 + x53 - 0.0025*x253 - 0.0025*x254 =E= 0; e54.. - x53 + x54 - 0.0025*x254 - 0.0025*x255 =E= 0; e55.. - x54 + x55 - 0.0025*x255 - 0.0025*x256 =E= 0; e56.. - x55 + x56 - 0.0025*x256 - 0.0025*x257 =E= 0; e57.. - x56 + x57 - 0.0025*x257 - 0.0025*x258 =E= 0; e58.. - x57 + x58 - 0.0025*x258 - 0.0025*x259 =E= 0; e59.. - x58 + x59 - 0.0025*x259 - 0.0025*x260 =E= 0; e60.. - x59 + x60 - 0.0025*x260 - 0.0025*x261 =E= 0; e61.. - x60 + x61 - 0.0025*x261 - 0.0025*x262 =E= 0; e62.. - x61 + x62 - 0.0025*x262 - 0.0025*x263 =E= 0; e63.. - x62 + x63 - 0.0025*x263 - 0.0025*x264 =E= 0; e64.. - x63 + x64 - 0.0025*x264 - 0.0025*x265 =E= 0; e65.. - x64 + x65 - 0.0025*x265 - 0.0025*x266 =E= 0; e66.. - x65 + x66 - 0.0025*x266 - 0.0025*x267 =E= 0; e67.. - x66 + x67 - 0.0025*x267 - 0.0025*x268 =E= 0; e68.. - x67 + x68 - 0.0025*x268 - 0.0025*x269 =E= 0; e69.. - x68 + x69 - 0.0025*x269 - 0.0025*x270 =E= 0; e70.. - x69 + x70 - 0.0025*x270 - 0.0025*x271 =E= 0; e71.. - x70 + x71 - 0.0025*x271 - 0.0025*x272 =E= 0; e72.. - x71 + x72 - 0.0025*x272 - 0.0025*x273 =E= 0; e73.. - x72 + x73 - 0.0025*x273 - 0.0025*x274 =E= 0; e74.. - x73 + x74 - 0.0025*x274 - 0.0025*x275 =E= 0; e75.. - x74 + x75 - 0.0025*x275 - 0.0025*x276 =E= 0; e76.. - x75 + x76 - 0.0025*x276 - 0.0025*x277 =E= 0; e77.. - x76 + x77 - 0.0025*x277 - 0.0025*x278 =E= 0; e78.. - x77 + x78 - 0.0025*x278 - 0.0025*x279 =E= 0; e79.. - x78 + x79 - 0.0025*x279 - 0.0025*x280 =E= 0; e80.. - x79 + x80 - 0.0025*x280 - 0.0025*x281 =E= 0; e81.. - x80 + x81 - 0.0025*x281 - 0.0025*x282 =E= 0; e82.. - x81 + x82 - 0.0025*x282 - 0.0025*x283 =E= 0; e83.. - x82 + x83 - 0.0025*x283 - 0.0025*x284 =E= 0; e84.. - x83 + x84 - 0.0025*x284 - 0.0025*x285 =E= 0; e85.. - x84 + x85 - 0.0025*x285 - 0.0025*x286 =E= 0; e86.. - x85 + x86 - 0.0025*x286 - 0.0025*x287 =E= 0; e87.. - x86 + x87 - 0.0025*x287 - 0.0025*x288 =E= 0; e88.. - x87 + x88 - 0.0025*x288 - 0.0025*x289 =E= 0; e89.. - x88 + x89 - 0.0025*x289 - 0.0025*x290 =E= 0; e90.. - x89 + x90 - 0.0025*x290 - 0.0025*x291 =E= 0; e91.. - x90 + x91 - 0.0025*x291 - 0.0025*x292 =E= 0; e92.. - x91 + x92 - 0.0025*x292 - 0.0025*x293 =E= 0; e93.. - x92 + x93 - 0.0025*x293 - 0.0025*x294 =E= 0; e94.. - x93 + x94 - 0.0025*x294 - 0.0025*x295 =E= 0; e95.. - x94 + x95 - 0.0025*x295 - 0.0025*x296 =E= 0; e96.. - x95 + x96 - 0.0025*x296 - 0.0025*x297 =E= 0; e97.. - x96 + x97 - 0.0025*x297 - 0.0025*x298 =E= 0; e98.. - x97 + x98 - 0.0025*x298 - 0.0025*x299 =E= 0; e99.. - x98 + x99 - 0.0025*x299 - 0.0025*x300 =E= 0; e100.. - x99 + x100 - 0.0025*x300 - 0.0025*x301 =E= 0; e101.. - x100 + x101 - 0.0025*x301 - 0.0025*x302 =E= 0; e102.. - x101 + x102 - 0.0025*x302 - 0.0025*x303 =E= 0; e103.. - x102 + x103 - 0.0025*x303 - 0.0025*x304 =E= 0; e104.. - x103 + x104 - 0.0025*x304 - 0.0025*x305 =E= 0; e105.. - x104 + x105 - 0.0025*x305 - 0.0025*x306 =E= 0; e106.. - x105 + x106 - 0.0025*x306 - 0.0025*x307 =E= 0; e107.. - x106 + x107 - 0.0025*x307 - 0.0025*x308 =E= 0; e108.. - x107 + x108 - 0.0025*x308 - 0.0025*x309 =E= 0; e109.. - x108 + x109 - 0.0025*x309 - 0.0025*x310 =E= 0; e110.. - x109 + x110 - 0.0025*x310 - 0.0025*x311 =E= 0; e111.. - x110 + x111 - 0.0025*x311 - 0.0025*x312 =E= 0; e112.. - x111 + x112 - 0.0025*x312 - 0.0025*x313 =E= 0; e113.. - x112 + x113 - 0.0025*x313 - 0.0025*x314 =E= 0; e114.. - x113 + x114 - 0.0025*x314 - 0.0025*x315 =E= 0; e115.. - x114 + x115 - 0.0025*x315 - 0.0025*x316 =E= 0; e116.. - x115 + x116 - 0.0025*x316 - 0.0025*x317 =E= 0; e117.. - x116 + x117 - 0.0025*x317 - 0.0025*x318 =E= 0; e118.. - x117 + x118 - 0.0025*x318 - 0.0025*x319 =E= 0; e119.. - x118 + x119 - 0.0025*x319 - 0.0025*x320 =E= 0; e120.. - x119 + x120 - 0.0025*x320 - 0.0025*x321 =E= 0; e121.. - x120 + x121 - 0.0025*x321 - 0.0025*x322 =E= 0; e122.. - x121 + x122 - 0.0025*x322 - 0.0025*x323 =E= 0; e123.. - x122 + x123 - 0.0025*x323 - 0.0025*x324 =E= 0; e124.. - x123 + x124 - 0.0025*x324 - 0.0025*x325 =E= 0; e125.. - x124 + x125 - 0.0025*x325 - 0.0025*x326 =E= 0; e126.. - x125 + x126 - 0.0025*x326 - 0.0025*x327 =E= 0; e127.. - x126 + x127 - 0.0025*x327 - 0.0025*x328 =E= 0; e128.. - x127 + x128 - 0.0025*x328 - 0.0025*x329 =E= 0; e129.. - x128 + x129 - 0.0025*x329 - 0.0025*x330 =E= 0; e130.. - x129 + x130 - 0.0025*x330 - 0.0025*x331 =E= 0; e131.. - x130 + x131 - 0.0025*x331 - 0.0025*x332 =E= 0; e132.. - x131 + x132 - 0.0025*x332 - 0.0025*x333 =E= 0; e133.. - x132 + x133 - 0.0025*x333 - 0.0025*x334 =E= 0; e134.. - x133 + x134 - 0.0025*x334 - 0.0025*x335 =E= 0; e135.. - x134 + x135 - 0.0025*x335 - 0.0025*x336 =E= 0; e136.. - x135 + x136 - 0.0025*x336 - 0.0025*x337 =E= 0; e137.. - x136 + x137 - 0.0025*x337 - 0.0025*x338 =E= 0; e138.. - x137 + x138 - 0.0025*x338 - 0.0025*x339 =E= 0; e139.. - x138 + x139 - 0.0025*x339 - 0.0025*x340 =E= 0; e140.. - x139 + x140 - 0.0025*x340 - 0.0025*x341 =E= 0; e141.. - x140 + x141 - 0.0025*x341 - 0.0025*x342 =E= 0; e142.. - x141 + x142 - 0.0025*x342 - 0.0025*x343 =E= 0; e143.. - x142 + x143 - 0.0025*x343 - 0.0025*x344 =E= 0; e144.. - x143 + x144 - 0.0025*x344 - 0.0025*x345 =E= 0; e145.. - x144 + x145 - 0.0025*x345 - 0.0025*x346 =E= 0; e146.. - x145 + x146 - 0.0025*x346 - 0.0025*x347 =E= 0; e147.. - x146 + x147 - 0.0025*x347 - 0.0025*x348 =E= 0; e148.. - x147 + x148 - 0.0025*x348 - 0.0025*x349 =E= 0; e149.. - x148 + x149 - 0.0025*x349 - 0.0025*x350 =E= 0; e150.. - x149 + x150 - 0.0025*x350 - 0.0025*x351 =E= 0; e151.. - x150 + x151 - 0.0025*x351 - 0.0025*x352 =E= 0; e152.. - x151 + x152 - 0.0025*x352 - 0.0025*x353 =E= 0; e153.. - x152 + x153 - 0.0025*x353 - 0.0025*x354 =E= 0; e154.. - x153 + x154 - 0.0025*x354 - 0.0025*x355 =E= 0; e155.. - x154 + x155 - 0.0025*x355 - 0.0025*x356 =E= 0; e156.. - x155 + x156 - 0.0025*x356 - 0.0025*x357 =E= 0; e157.. - x156 + x157 - 0.0025*x357 - 0.0025*x358 =E= 0; e158.. - x157 + x158 - 0.0025*x358 - 0.0025*x359 =E= 0; e159.. - x158 + x159 - 0.0025*x359 - 0.0025*x360 =E= 0; e160.. - x159 + x160 - 0.0025*x360 - 0.0025*x361 =E= 0; e161.. - x160 + x161 - 0.0025*x361 - 0.0025*x362 =E= 0; e162.. - x161 + x162 - 0.0025*x362 - 0.0025*x363 =E= 0; e163.. - x162 + x163 - 0.0025*x363 - 0.0025*x364 =E= 0; e164.. - x163 + x164 - 0.0025*x364 - 0.0025*x365 =E= 0; e165.. - x164 + x165 - 0.0025*x365 - 0.0025*x366 =E= 0; e166.. - x165 + x166 - 0.0025*x366 - 0.0025*x367 =E= 0; e167.. - x166 + x167 - 0.0025*x367 - 0.0025*x368 =E= 0; e168.. - x167 + x168 - 0.0025*x368 - 0.0025*x369 =E= 0; e169.. - x168 + x169 - 0.0025*x369 - 0.0025*x370 =E= 0; e170.. - x169 + x170 - 0.0025*x370 - 0.0025*x371 =E= 0; e171.. - x170 + x171 - 0.0025*x371 - 0.0025*x372 =E= 0; e172.. - x171 + x172 - 0.0025*x372 - 0.0025*x373 =E= 0; e173.. - x172 + x173 - 0.0025*x373 - 0.0025*x374 =E= 0; e174.. - x173 + x174 - 0.0025*x374 - 0.0025*x375 =E= 0; e175.. - x174 + x175 - 0.0025*x375 - 0.0025*x376 =E= 0; e176.. - x175 + x176 - 0.0025*x376 - 0.0025*x377 =E= 0; e177.. - x176 + x177 - 0.0025*x377 - 0.0025*x378 =E= 0; e178.. - x177 + x178 - 0.0025*x378 - 0.0025*x379 =E= 0; e179.. - x178 + x179 - 0.0025*x379 - 0.0025*x380 =E= 0; e180.. - x179 + x180 - 0.0025*x380 - 0.0025*x381 =E= 0; e181.. - x180 + x181 - 0.0025*x381 - 0.0025*x382 =E= 0; e182.. - x181 + x182 - 0.0025*x382 - 0.0025*x383 =E= 0; e183.. - x182 + x183 - 0.0025*x383 - 0.0025*x384 =E= 0; e184.. - x183 + x184 - 0.0025*x384 - 0.0025*x385 =E= 0; e185.. - x184 + x185 - 0.0025*x385 - 0.0025*x386 =E= 0; e186.. - x185 + x186 - 0.0025*x386 - 0.0025*x387 =E= 0; e187.. - x186 + x187 - 0.0025*x387 - 0.0025*x388 =E= 0; e188.. - x187 + x188 - 0.0025*x388 - 0.0025*x389 =E= 0; e189.. - x188 + x189 - 0.0025*x389 - 0.0025*x390 =E= 0; e190.. - x189 + x190 - 0.0025*x390 - 0.0025*x391 =E= 0; e191.. - x190 + x191 - 0.0025*x391 - 0.0025*x392 =E= 0; e192.. - x191 + x192 - 0.0025*x392 - 0.0025*x393 =E= 0; e193.. - x192 + x193 - 0.0025*x393 - 0.0025*x394 =E= 0; e194.. - x193 + x194 - 0.0025*x394 - 0.0025*x395 =E= 0; e195.. - x194 + x195 - 0.0025*x395 - 0.0025*x396 =E= 0; e196.. - x195 + x196 - 0.0025*x396 - 0.0025*x397 =E= 0; e197.. - x196 + x197 - 0.0025*x397 - 0.0025*x398 =E= 0; e198.. - x197 + x198 - 0.0025*x398 - 0.0025*x399 =E= 0; e199.. - x198 + x199 - 0.0025*x399 - 0.0025*x400 =E= 0; e200.. - x199 + x200 - 0.0025*x400 - 0.0025*x401 =E= 0; e201.. - x200 + x201 - 0.0025*x401 - 0.0025*x402 =E= 0; e202.. 0.0025*(sqrt(1 + sqr(x202)) + sqrt(1 + sqr(x203)) + sqrt(1 + sqr(x203)) + sqrt(1 + sqr(x204)) + sqrt(1 + sqr(x204)) + sqrt(1 + sqr(x205)) + sqrt(1 + sqr(x205)) + sqrt(1 + sqr(x206)) + sqrt(1 + sqr(x206)) + sqrt(1 + sqr(x207)) + sqrt(1 + sqr(x207)) + sqrt(1 + sqr(x208)) + sqrt(1 + sqr(x208)) + sqrt(1 + sqr(x209)) + sqrt(1 + sqr(x209)) + sqrt(1 + sqr( x210)) + sqrt(1 + sqr(x210)) + sqrt(1 + sqr(x211)) + sqrt(1 + sqr(x211)) + sqrt(1 + sqr(x212)) + sqrt(1 + sqr(x212)) + sqrt(1 + sqr(x213)) + sqrt(1 + sqr(x213)) + sqrt(1 + sqr(x214)) + sqrt(1 + sqr(x214)) + sqrt(1 + sqr(x215)) + sqrt(1 + sqr(x215)) + sqrt(1 + sqr(x216)) + sqrt(1 + sqr(x216)) + sqrt(1 + sqr(x217)) + sqrt(1 + sqr(x217)) + sqrt(1 + sqr( x218)) + sqrt(1 + sqr(x218)) + sqrt(1 + sqr(x219)) + sqrt(1 + sqr(x219)) + sqrt(1 + sqr(x220)) + sqrt(1 + sqr(x220)) + sqrt(1 + sqr(x221)) + sqrt(1 + sqr(x221)) + sqrt(1 + sqr(x222)) + sqrt(1 + sqr(x222)) + sqrt(1 + sqr(x223)) + sqrt(1 + sqr(x223)) + sqrt(1 + sqr(x224)) + sqrt(1 + sqr(x224)) + sqrt(1 + sqr(x225)) + sqrt(1 + sqr(x225)) + sqrt(1 + sqr( x226)) + sqrt(1 + sqr(x226)) + sqrt(1 + sqr(x227)) + sqrt(1 + sqr(x227)) + sqrt(1 + sqr(x228)) + sqrt(1 + sqr(x228)) + sqrt(1 + sqr(x229)) + sqrt(1 + sqr(x229)) + sqrt(1 + sqr(x230)) + sqrt(1 + sqr(x230)) + sqrt(1 + sqr(x231)) + sqrt(1 + sqr(x231)) + sqrt(1 + sqr(x232)) + sqrt(1 + sqr(x232)) + sqrt(1 + sqr(x233)) + sqrt(1 + sqr(x233)) + sqrt(1 + sqr( x234)) + sqrt(1 + sqr(x234)) + sqrt(1 + sqr(x235)) + sqrt(1 + sqr(x235)) + sqrt(1 + sqr(x236)) + sqrt(1 + sqr(x236)) + sqrt(1 + sqr(x237)) + sqrt(1 + sqr(x237)) + sqrt(1 + sqr(x238)) + sqrt(1 + sqr(x238)) + sqrt(1 + sqr(x239)) + sqrt(1 + sqr(x239)) + sqrt(1 + sqr(x240)) + sqrt(1 + sqr(x240)) + sqrt(1 + sqr(x241)) + sqrt(1 + sqr(x241)) + sqrt(1 + sqr( x242)) + sqrt(1 + sqr(x242)) + sqrt(1 + sqr(x243)) + sqrt(1 + sqr(x243)) + sqrt(1 + sqr(x244)) + sqrt(1 + sqr(x244)) + sqrt(1 + sqr(x245)) + sqrt(1 + sqr(x245)) + sqrt(1 + sqr(x246)) + sqrt(1 + sqr(x246)) + sqrt(1 + sqr(x247)) + sqrt(1 + sqr(x247)) + sqrt(1 + sqr(x248)) + sqrt(1 + sqr(x248)) + sqrt(1 + sqr(x249)) + sqrt(1 + sqr(x249)) + sqrt(1 + sqr( x250)) + sqrt(1 + sqr(x250)) + sqrt(1 + sqr(x251)) + sqrt(1 + sqr(x251)) + sqrt(1 + sqr(x252)) + sqrt(1 + sqr(x252)) + sqrt(1 + sqr(x253)) + sqrt(1 + sqr(x253)) + sqrt(1 + sqr(x254)) + sqrt(1 + sqr(x254)) + sqrt(1 + sqr(x255)) + sqrt(1 + sqr(x255)) + sqrt(1 + sqr(x256)) + sqrt(1 + sqr(x256)) + sqrt(1 + sqr(x257)) + sqrt(1 + sqr(x257)) + sqrt(1 + sqr( x258)) + sqrt(1 + sqr(x258)) + sqrt(1 + sqr(x259)) + sqrt(1 + sqr(x259)) + sqrt(1 + sqr(x260)) + sqrt(1 + sqr(x260)) + sqrt(1 + sqr(x261)) + sqrt(1 + sqr(x261)) + sqrt(1 + sqr(x262)) + sqrt(1 + sqr(x262)) + sqrt(1 + sqr(x263)) + sqrt(1 + sqr(x263)) + sqrt(1 + sqr(x264)) + sqrt(1 + sqr(x264)) + sqrt(1 + sqr(x265)) + sqrt(1 + sqr(x265)) + sqrt(1 + sqr( x266)) + sqrt(1 + sqr(x266)) + sqrt(1 + sqr(x267)) + sqrt(1 + sqr(x267)) + sqrt(1 + sqr(x268)) + sqrt(1 + sqr(x268)) + sqrt(1 + sqr(x269)) + sqrt(1 + sqr(x269)) + sqrt(1 + sqr(x270)) + sqrt(1 + sqr(x270)) + sqrt(1 + sqr(x271)) + sqrt(1 + sqr(x271)) + sqrt(1 + sqr(x272)) + sqrt(1 + sqr(x272)) + sqrt(1 + sqr(x273)) + sqrt(1 + sqr(x273)) + sqrt(1 + sqr( x274)) + sqrt(1 + sqr(x274)) + sqrt(1 + sqr(x275)) + sqrt(1 + sqr(x275)) + sqrt(1 + sqr(x276)) + sqrt(1 + sqr(x276)) + sqrt(1 + sqr(x277)) + sqrt(1 + sqr(x277)) + sqrt(1 + sqr(x278)) + sqrt(1 + sqr(x278)) + sqrt(1 + sqr(x279)) + sqrt(1 + sqr(x279)) + sqrt(1 + sqr(x280)) + sqrt(1 + sqr(x280)) + sqrt(1 + sqr(x281)) + sqrt(1 + sqr(x281)) + sqrt(1 + sqr( x282)) + sqrt(1 + sqr(x282)) + sqrt(1 + sqr(x283)) + sqrt(1 + sqr(x283)) + sqrt(1 + sqr(x284)) + sqrt(1 + sqr(x284)) + sqrt(1 + sqr(x285)) + sqrt(1 + sqr(x285)) + sqrt(1 + sqr(x286)) + sqrt(1 + sqr(x286)) + sqrt(1 + sqr(x287)) + sqrt(1 + sqr(x287)) + sqrt(1 + sqr(x288)) + sqrt(1 + sqr(x288)) + sqrt(1 + sqr(x289)) + sqrt(1 + sqr(x289)) + sqrt(1 + sqr( x290)) + sqrt(1 + sqr(x290)) + sqrt(1 + sqr(x291)) + sqrt(1 + sqr(x291)) + sqrt(1 + sqr(x292)) + sqrt(1 + sqr(x292)) + sqrt(1 + sqr(x293)) + sqrt(1 + sqr(x293)) + sqrt(1 + sqr(x294)) + sqrt(1 + sqr(x294)) + sqrt(1 + sqr(x295)) + sqrt(1 + sqr(x295)) + sqrt(1 + sqr(x296)) + sqrt(1 + sqr(x296)) + sqrt(1 + sqr(x297)) + sqrt(1 + sqr(x297)) + sqrt(1 + sqr( x298)) + sqrt(1 + sqr(x298)) + sqrt(1 + sqr(x299)) + sqrt(1 + sqr(x299)) + sqrt(1 + sqr(x300)) + sqrt(1 + sqr(x300)) + sqrt(1 + sqr(x301)) + sqrt(1 + sqr(x301)) + sqrt(1 + sqr(x302)) + sqrt(1 + sqr(x302)) + sqrt(1 + sqr(x303)) + sqrt(1 + sqr(x303)) + sqrt(1 + sqr(x304)) + sqrt(1 + sqr(x304)) + sqrt(1 + sqr(x305)) + sqrt(1 + sqr(x305)) + sqrt(1 + sqr( x306)) + sqrt(1 + sqr(x306)) + sqrt(1 + sqr(x307)) + sqrt(1 + sqr(x307)) + sqrt(1 + sqr(x308)) + sqrt(1 + sqr(x308)) + sqrt(1 + sqr(x309)) + sqrt(1 + sqr(x309)) + sqrt(1 + sqr(x310)) + sqrt(1 + sqr(x310)) + sqrt(1 + sqr(x311)) + sqrt(1 + sqr(x311)) + sqrt(1 + sqr(x312)) + sqrt(1 + sqr(x312)) + sqrt(1 + sqr(x313)) + sqrt(1 + sqr(x313)) + sqrt(1 + sqr( x314)) + sqrt(1 + sqr(x314)) + sqrt(1 + sqr(x315)) + sqrt(1 + sqr(x315)) + sqrt(1 + sqr(x316)) + sqrt(1 + sqr(x316)) + sqrt(1 + sqr(x317)) + sqrt(1 + sqr(x317)) + sqrt(1 + sqr(x318)) + sqrt(1 + sqr(x318)) + sqrt(1 + sqr(x319)) + sqrt(1 + sqr(x319)) + sqrt(1 + sqr(x320)) + sqrt(1 + sqr(x320)) + sqrt(1 + sqr(x321)) + sqrt(1 + sqr(x321)) + sqrt(1 + sqr( x322)) + sqrt(1 + sqr(x322)) + sqrt(1 + sqr(x323)) + sqrt(1 + sqr(x323)) + sqrt(1 + sqr(x324)) + sqrt(1 + sqr(x324)) + sqrt(1 + sqr(x325)) + sqrt(1 + sqr(x325)) + sqrt(1 + sqr(x326)) + sqrt(1 + sqr(x326)) + sqrt(1 + sqr(x327)) + sqrt(1 + sqr(x327)) + sqrt(1 + sqr(x328)) + sqrt(1 + sqr(x328)) + sqrt(1 + sqr(x329)) + sqrt(1 + sqr(x329)) + sqrt(1 + sqr( x330)) + sqrt(1 + sqr(x330)) + sqrt(1 + sqr(x331)) + sqrt(1 + sqr(x331)) + sqrt(1 + sqr(x332)) + sqrt(1 + sqr(x332)) + sqrt(1 + sqr(x333)) + sqrt(1 + sqr(x333)) + sqrt(1 + sqr(x334)) + sqrt(1 + sqr(x334)) + sqrt(1 + sqr(x335)) + sqrt(1 + sqr(x335)) + sqrt(1 + sqr(x336)) + sqrt(1 + sqr(x336)) + sqrt(1 + sqr(x337)) + sqrt(1 + sqr(x337)) + sqrt(1 + sqr( x338)) + sqrt(1 + sqr(x338)) + sqrt(1 + sqr(x339)) + sqrt(1 + sqr(x339)) + sqrt(1 + sqr(x340)) + sqrt(1 + sqr(x340)) + sqrt(1 + sqr(x341)) + sqrt(1 + sqr(x341)) + sqrt(1 + sqr(x342)) + sqrt(1 + sqr(x342)) + sqrt(1 + sqr(x343)) + sqrt(1 + sqr(x343)) + sqrt(1 + sqr(x344)) + sqrt(1 + sqr(x344)) + sqrt(1 + sqr(x345)) + sqrt(1 + sqr(x345)) + sqrt(1 + sqr( x346)) + sqrt(1 + sqr(x346)) + sqrt(1 + sqr(x347)) + sqrt(1 + sqr(x347)) + sqrt(1 + sqr(x348)) + sqrt(1 + sqr(x348)) + sqrt(1 + sqr(x349)) + sqrt(1 + sqr(x349)) + sqrt(1 + sqr(x350)) + sqrt(1 + sqr(x350)) + sqrt(1 + sqr(x351)) + sqrt(1 + sqr(x351)) + sqrt(1 + sqr(x352)) + sqrt(1 + sqr(x352)) + sqrt(1 + sqr(x353)) + sqrt(1 + sqr(x353)) + sqrt(1 + sqr( x354)) + sqrt(1 + sqr(x354)) + sqrt(1 + sqr(x355)) + sqrt(1 + sqr(x355)) + sqrt(1 + sqr(x356)) + sqrt(1 + sqr(x356)) + sqrt(1 + sqr(x357)) + sqrt(1 + sqr(x357)) + sqrt(1 + sqr(x358)) + sqrt(1 + sqr(x358)) + sqrt(1 + sqr(x359)) + sqrt(1 + sqr(x359)) + sqrt(1 + sqr(x360)) + sqrt(1 + sqr(x360)) + sqrt(1 + sqr(x361)) + sqrt(1 + sqr(x361)) + sqrt(1 + sqr( x362)) + sqrt(1 + sqr(x362)) + sqrt(1 + sqr(x363)) + sqrt(1 + sqr(x363)) + sqrt(1 + sqr(x364)) + sqrt(1 + sqr(x364)) + sqrt(1 + sqr(x365)) + sqrt(1 + sqr(x365)) + sqrt(1 + sqr(x366)) + sqrt(1 + sqr(x366)) + sqrt(1 + sqr(x367)) + sqrt(1 + sqr(x367)) + sqrt(1 + sqr(x368)) + sqrt(1 + sqr(x368)) + sqrt(1 + sqr(x369)) + sqrt(1 + sqr(x369)) + sqrt(1 + sqr( x370)) + sqrt(1 + sqr(x370)) + sqrt(1 + sqr(x371)) + sqrt(1 + sqr(x371)) + sqrt(1 + sqr(x372)) + sqrt(1 + sqr(x372)) + sqrt(1 + sqr(x373)) + sqrt(1 + sqr(x373)) + sqrt(1 + sqr(x374)) + sqrt(1 + sqr(x374)) + sqrt(1 + sqr(x375)) + sqrt(1 + sqr(x375)) + sqrt(1 + sqr(x376)) + sqrt(1 + sqr(x376)) + sqrt(1 + sqr(x377)) + sqrt(1 + sqr(x377)) + sqrt(1 + sqr( x378)) + sqrt(1 + sqr(x378)) + sqrt(1 + sqr(x379)) + sqrt(1 + sqr(x379)) + sqrt(1 + sqr(x380)) + sqrt(1 + sqr(x380)) + sqrt(1 + sqr(x381)) + sqrt(1 + sqr(x381)) + sqrt(1 + sqr(x382)) + sqrt(1 + sqr(x382)) + sqrt(1 + sqr(x383)) + sqrt(1 + sqr(x383)) + sqrt(1 + sqr(x384)) + sqrt(1 + sqr(x384)) + sqrt(1 + sqr(x385)) + sqrt(1 + sqr(x385)) + sqrt(1 + sqr( x386)) + sqrt(1 + sqr(x386)) + sqrt(1 + sqr(x387)) + sqrt(1 + sqr(x387)) + sqrt(1 + sqr(x388)) + sqrt(1 + sqr(x388)) + sqrt(1 + sqr(x389)) + sqrt(1 + sqr(x389)) + sqrt(1 + sqr(x390)) + sqrt(1 + sqr(x390)) + sqrt(1 + sqr(x391)) + sqrt(1 + sqr(x391)) + sqrt(1 + sqr(x392)) + sqrt(1 + sqr(x392)) + sqrt(1 + sqr(x393)) + sqrt(1 + sqr(x393)) + sqrt(1 + sqr( x394)) + sqrt(1 + sqr(x394)) + sqrt(1 + sqr(x395)) + sqrt(1 + sqr(x395)) + sqrt(1 + sqr(x396)) + sqrt(1 + sqr(x396)) + sqrt(1 + sqr(x397)) + sqrt(1 + sqr(x397)) + sqrt(1 + sqr(x398)) + sqrt(1 + sqr(x398)) + sqrt(1 + sqr(x399)) + sqrt(1 + sqr(x399)) + sqrt(1 + sqr(x400)) + sqrt(1 + sqr(x400)) + sqrt(1 + sqr(x401)) + sqrt(1 + sqr(x401)) + sqrt(1 + sqr( x402))) =E= 4; * set non-default bounds x1.fx = 1; x201.fx = 3; * set non-default levels x2.l = 0.9901; x3.l = 0.9804; x4.l = 0.9709; x5.l = 0.9616; x6.l = 0.9525; x7.l = 0.9436; x8.l = 0.9349; x9.l = 0.9264; x10.l = 0.9181; x11.l = 0.91; x12.l = 0.9021; x13.l = 0.8944; x14.l = 0.8869; x15.l = 0.8796; x16.l = 0.8725; x17.l = 0.8656; x18.l = 0.8589; x19.l = 0.8524; x20.l = 0.8461; x21.l = 0.84; x22.l = 0.8341; x23.l = 0.8284; x24.l = 0.8229; x25.l = 0.8176; x26.l = 0.8125; x27.l = 0.8076; x28.l = 0.8029; x29.l = 0.7984; x30.l = 0.7941; x31.l = 0.79; x32.l = 0.7861; x33.l = 0.7824; x34.l = 0.7789; x35.l = 0.7756; x36.l = 0.7725; x37.l = 0.7696; x38.l = 0.7669; x39.l = 0.7644; x40.l = 0.7621; x41.l = 0.76; x42.l = 0.7581; x43.l = 0.7564; x44.l = 0.7549; x45.l = 0.7536; x46.l = 0.7525; x47.l = 0.7516; x48.l = 0.7509; x49.l = 0.7504; x50.l = 0.7501; x51.l = 0.75; x52.l = 0.7501; x53.l = 0.7504; x54.l = 0.7509; x55.l = 0.7516; x56.l = 0.7525; x57.l = 0.7536; x58.l = 0.7549; x59.l = 0.7564; x60.l = 0.7581; x61.l = 0.76; x62.l = 0.7621; x63.l = 0.7644; x64.l = 0.7669; x65.l = 0.7696; x66.l = 0.7725; x67.l = 0.7756; x68.l = 0.7789; x69.l = 0.7824; x70.l = 0.7861; x71.l = 0.79; x72.l = 0.7941; x73.l = 0.7984; x74.l = 0.8029; x75.l = 0.8076; x76.l = 0.8125; x77.l = 0.8176; x78.l = 0.8229; x79.l = 0.8284; x80.l = 0.8341; x81.l = 0.84; x82.l = 0.8461; x83.l = 0.8524; x84.l = 0.8589; x85.l = 0.8656; x86.l = 0.8725; x87.l = 0.8796; x88.l = 0.8869; x89.l = 0.8944; x90.l = 0.9021; x91.l = 0.91; x92.l = 0.9181; x93.l = 0.9264; x94.l = 0.9349; x95.l = 0.9436; x96.l = 0.9525; x97.l = 0.9616; x98.l = 0.9709; x99.l = 0.9804; x100.l = 0.9901; x101.l = 1; x102.l = 1.0101; x103.l = 1.0204; x104.l = 1.0309; x105.l = 1.0416; x106.l = 1.0525; x107.l = 1.0636; x108.l = 1.0749; x109.l = 1.0864; x110.l = 1.0981; x111.l = 1.11; x112.l = 1.1221; x113.l = 1.1344; x114.l = 1.1469; x115.l = 1.1596; x116.l = 1.1725; x117.l = 1.1856; x118.l = 1.1989; x119.l = 1.2124; x120.l = 1.2261; x121.l = 1.24; x122.l = 1.2541; x123.l = 1.2684; x124.l = 1.2829; x125.l = 1.2976; x126.l = 1.3125; x127.l = 1.3276; x128.l = 1.3429; x129.l = 1.3584; x130.l = 1.3741; x131.l = 1.39; x132.l = 1.4061; x133.l = 1.4224; x134.l = 1.4389; x135.l = 1.4556; x136.l = 1.4725; x137.l = 1.4896; x138.l = 1.5069; x139.l = 1.5244; x140.l = 1.5421; x141.l = 1.56; x142.l = 1.5781; x143.l = 1.5964; x144.l = 1.6149; x145.l = 1.6336; x146.l = 1.6525; x147.l = 1.6716; x148.l = 1.6909; x149.l = 1.7104; x150.l = 1.7301; x151.l = 1.75; x152.l = 1.7701; x153.l = 1.7904; x154.l = 1.8109; x155.l = 1.8316; x156.l = 1.8525; x157.l = 1.8736; x158.l = 1.8949; x159.l = 1.9164; x160.l = 1.9381; x161.l = 1.96; x162.l = 1.9821; x163.l = 2.0044; x164.l = 2.0269; x165.l = 2.0496; x166.l = 2.0725; x167.l = 2.0956; x168.l = 2.1189; x169.l = 2.1424; x170.l = 2.1661; x171.l = 2.19; x172.l = 2.2141; x173.l = 2.2384; x174.l = 2.2629; x175.l = 2.2876; x176.l = 2.3125; x177.l = 2.3376; x178.l = 2.3629; x179.l = 2.3884; x180.l = 2.4141; x181.l = 2.44; x182.l = 2.4661; x183.l = 2.4924; x184.l = 2.5189; x185.l = 2.5456; x186.l = 2.5725; x187.l = 2.5996; x188.l = 2.6269; x189.l = 2.6544; x190.l = 2.6821; x191.l = 2.71; x192.l = 2.7381; x193.l = 2.7664; x194.l = 2.7949; x195.l = 2.8236; x196.l = 2.8525; x197.l = 2.8816; x198.l = 2.9109; x199.l = 2.9404; x200.l = 2.9701; x202.l = -2; x203.l = -1.96; x204.l = -1.92; x205.l = -1.88; x206.l = -1.84; x207.l = -1.8; x208.l = -1.76; x209.l = -1.72; x210.l = -1.68; x211.l = -1.64; x212.l = -1.6; x213.l = -1.56; x214.l = -1.52; x215.l = -1.48; x216.l = -1.44; x217.l = -1.4; x218.l = -1.36; x219.l = -1.32; x220.l = -1.28; x221.l = -1.24; x222.l = -1.2; x223.l = -1.16; x224.l = -1.12; x225.l = -1.08; x226.l = -1.04; x227.l = -1; x228.l = -0.96; x229.l = -0.92; x230.l = -0.88; x231.l = -0.84; x232.l = -0.8; x233.l = -0.76; x234.l = -0.72; x235.l = -0.68; x236.l = -0.64; x237.l = -0.6; x238.l = -0.56; x239.l = -0.52; x240.l = -0.48; x241.l = -0.44; x242.l = -0.4; x243.l = -0.36; x244.l = -0.32; x245.l = -0.28; x246.l = -0.24; x247.l = -0.2; x248.l = -0.16; x249.l = -0.12; x250.l = -0.0800000000000001; x251.l = -0.04; x253.l = 0.04; x254.l = 0.0800000000000001; x255.l = 0.12; x256.l = 0.16; x257.l = 0.2; x258.l = 0.24; x259.l = 0.28; x260.l = 0.32; x261.l = 0.36; x262.l = 0.4; x263.l = 0.44; x264.l = 0.48; x265.l = 0.52; x266.l = 0.56; x267.l = 0.6; x268.l = 0.64; x269.l = 0.68; x270.l = 0.72; x271.l = 0.76; x272.l = 0.8; x273.l = 0.84; x274.l = 0.88; x275.l = 0.92; x276.l = 0.96; x277.l = 1; x278.l = 1.04; x279.l = 1.08; x280.l = 1.12; x281.l = 1.16; x282.l = 1.2; x283.l = 1.24; x284.l = 1.28; x285.l = 1.32; x286.l = 1.36; x287.l = 1.4; x288.l = 1.44; x289.l = 1.48; x290.l = 1.52; x291.l = 1.56; x292.l = 1.6; x293.l = 1.64; x294.l = 1.68; x295.l = 1.72; x296.l = 1.76; x297.l = 1.8; x298.l = 1.84; x299.l = 1.88; x300.l = 1.92; x301.l = 1.96; x302.l = 2; x303.l = 2.04; x304.l = 2.08; x305.l = 2.12; x306.l = 2.16; x307.l = 2.2; x308.l = 2.24; x309.l = 2.28; x310.l = 2.32; x311.l = 2.36; x312.l = 2.4; x313.l = 2.44; x314.l = 2.48; x315.l = 2.52; x316.l = 2.56; x317.l = 2.6; x318.l = 2.64; x319.l = 2.68; x320.l = 2.72; x321.l = 2.76; x322.l = 2.8; x323.l = 2.84; x324.l = 2.88; x325.l = 2.92; x326.l = 2.96; x327.l = 3; x328.l = 3.04; x329.l = 3.08; x330.l = 3.12; x331.l = 3.16; x332.l = 3.2; x333.l = 3.24; x334.l = 3.28; x335.l = 3.32; x336.l = 3.36; x337.l = 3.4; x338.l = 3.44; x339.l = 3.48; x340.l = 3.52; x341.l = 3.56; x342.l = 3.6; x343.l = 3.64; x344.l = 3.68; x345.l = 3.72; x346.l = 3.76; x347.l = 3.8; x348.l = 3.84; x349.l = 3.88; x350.l = 3.92; x351.l = 3.96; x352.l = 4; x353.l = 4.04; x354.l = 4.08; x355.l = 4.12; x356.l = 4.16; x357.l = 4.2; x358.l = 4.24; x359.l = 4.28; x360.l = 4.32; x361.l = 4.36; x362.l = 4.4; x363.l = 4.44; x364.l = 4.48; x365.l = 4.52; x366.l = 4.56; x367.l = 4.6; x368.l = 4.64; x369.l = 4.68; x370.l = 4.72; x371.l = 4.76; x372.l = 4.8; x373.l = 4.84; x374.l = 4.88; x375.l = 4.92; x376.l = 4.96; x377.l = 5; x378.l = 5.04; x379.l = 5.08; x380.l = 5.12; x381.l = 5.16; x382.l = 5.2; x383.l = 5.24; x384.l = 5.28; x385.l = 5.32; x386.l = 5.36; x387.l = 5.4; x388.l = 5.44; x389.l = 5.48; x390.l = 5.52; x391.l = 5.56; x392.l = 5.6; x393.l = 5.64; x394.l = 5.68; x395.l = 5.72; x396.l = 5.76; x397.l = 5.8; x398.l = 5.84; x399.l = 5.88; x400.l = 5.92; x401.l = 5.96; x402.l = 6; 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: 2024-12-17 Git hash: 8eaceb91