MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance contvar

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
809149.82720000 p1 ( gdx sol )
(infeas: 4e-15)
Other points (infeas > 1e-08)  
Dual Bounds
809149.82720000 (ANTIGONE)
559579.47410000 (BARON)
413820.19670000 (COUENNE)
415271.62660000 (LINDO)
505581.07020000 (SCIP)
127415.83830000 (SHOT)
Source Aldo Vecchietti's Model Collection
Application Batch processing
Added to library 01 May 2001
Problem type MBNLP
#Variables 296
#Binary Variables 88
#Integer Variables 0
#Nonlinear Variables 144
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type nonlinear
Objective curvature convex
#Nonzeros in Objective 40
#Nonlinear Nonzeros in Objective 40
#Constraints 284
#Linear Constraints 165
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 12
#General Nonlinear Constraints 107
Operands in Gen. Nonlin. Functions cvpower div exp log mul sqr
Constraints curvature indefinite
#Nonzeros in Jacobian 1240
#Nonlinear Nonzeros in Jacobian 490
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1108
#Nonzeros in Diagonal of Hessian of Lagrangian 116
#Blocks in Hessian of Lagrangian 16
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 125
Average blocksize in Hessian of Lagrangian 9.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.5000e-03
Maximal coefficient 3.6000e+05
Infeasibility of initial point 5.706
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
*        285      123       96       66        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        297      209       88        0        0        0        0        0
*  FX     17
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1281      751      530        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,objvar,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,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;

Positive Variables  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,x81,x82,x83,x84,x85,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96;

Binary Variables  b110,b111,b112,b113,b114,b115,b116,b117,b118,b119,b120,b121
          ,b122,b123,b124,b125,b126,b127,b128,b129,b130,b131,b132,b133,b134
          ,b135,b136,b137,b138,b139,b140,b141,b142,b143,b144,b145,b146,b147
          ,b148,b149,b150,b151,b152,b153,b154,b155,b156,b157,b158,b159,b160
          ,b161,b162,b163,b164,b165,b166,b167,b168,b169,b170,b171,b172,b173
          ,b174,b175,b176,b177,b178,b179,b180,b181,b182,b183,b184,b185,b186
          ,b187,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197;

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;


e1..    x1 - x17 + x89 - x198 =G= 0;

e2..    x2 - x18 + x90 - x199 =G= 0;

e3..    x3 - x19 + x91 - x200 =G= 0;

e4..    x4 - x20 + x92 - x201 =G= 0;

e5..    x5 - x21 + x93 - x202 =G= 0;

e6..    x6 - x22 + x94 - x203 =G= 0;

e7..    x7 - x23 + x95 - x204 =G= 0;

e8..    x8 - x24 + x96 - x205 =G= 0;

e9..    x1 - x25 + x89 - x206 =G= 0;

e10..    x2 - x26 + x90 - x207 =G= 0;

e11..    x3 - x27 + x91 - x208 =G= 0;

e12..    x4 - x28 + x92 - x209 =G= 0;

e13..    x5 - x29 + x93 - x210 =G= 0;

e14..    x6 - x30 + x94 - x211 =G= 0;

e15..    x7 - x31 + x95 - x212 =G= 0;

e16..    x8 - x32 + x96 - x213 =G= 0;

e17..    x1 - x33 + x89 - x214 =G= 0;

e18..    x2 - x34 + x90 - x215 =G= 0;

e19..    x3 - x35 + x91 - x216 =G= 0;

e20..    x4 - x36 + x92 - x217 =G= 0;

e21..    x5 - x37 + x93 - x218 =G= 0;

e22..    x6 - x38 + x94 - x219 =G= 0;

e23..    x7 - x39 + x95 - x220 =G= 0;

e24..    x8 - x40 + x96 - x221 =G= 0;

e25..    x1 - x41 + x89 - x222 =G= 0;

e26..    x2 - x42 + x90 - x223 =G= 0;

e27..    x3 - x43 + x91 - x224 =G= 0;

e28..    x4 - x44 + x92 - x225 =G= 0;

e29..    x5 - x45 + x93 - x226 =G= 0;

e30..    x6 - x46 + x94 - x227 =G= 0;

e31..    x7 - x47 + x95 - x228 =G= 0;

e32..    x8 - x48 + x96 - x229 =G= 0;

e33..    x10 - x20 + x92 - x230 =G= 0;

e34..    x11 - x24 + x96 - x231 =G= 0;

e35..    x9 - x26 + x90 - x232 =G= 0;

e36..    x11 - x32 + x96 - x233 =G= 0;

e37..    x9 - x34 + x90 - x234 =G= 0;

e38..    x11 - x40 + x96 - x235 =G= 0;

e39..    x10 - x44 + x92 - x236 =G= 0;

e40..    x11 - x48 + x96 - x237 =G= 0;

e41.. -log(15.6/(x280*x266*x267*x268*x269)) + x198 =E= 0;

e42.. -log(15.6/(x280*x266*x267*x268*x269)) + x199 =E= 0;

e43.. -log(15.6/(x284*x266*x267*x268*x269)) + x200 =E= 0;

e44.. -log(15.6/(x284*x266*x267*x268*x269)) + x201 =E= 0;

e45.. -log((7.8 + 15.6*x290)/(x284*x266*x267*x268*x269)) + x202 =E= 0;

e46.. -log((0.075 + 0.075*x294)/(exp(-0.03*x292)*x269*x268)) + x203 =E= 0;

e47.. -log(0.075/(exp(-0.03*x292)*x269*x268)) + x204 =E= 0;

e48.. -log((0.05*x294/sqr(1 + x294) + 0.025*x268)/(x268*x269*exp(-0.03*x292)))
       + x205 =E= 0;

e49.. -log(20.8/(x281*x272*x270*x271)) + x206 =E= 0;

e50.. -log(20.8/(x281*x272*x270*x271)) + x207 =E= 0;

e51.. -log((20.8 - 20.8*x281/x285 + 20.8*x288)/(x281*x270*x271*x272)) + x210
       =E= 0;

e52.. -log((0.05 + 0.05*x295)/(x272*x271)) + x211 =E= 0;

e53.. -log(0.05/(x272*x271)) + x212 =E= 0;

e54.. -log((0.025*x295/sqr(1 + x295) + 0.025*x271)/(x271*x272)) + x213 =E= 0;

e55.. -log(62.5/(x282*x275*x273*x274)) + x214 =E= 0;

e56.. -log(62.5/(x282*x275*x273*x274)) + x215 =E= 0;

e57.. -log((62.5 - 62.5*x282/x286 + 62.5*x289)/(x282*x273*x274*x275)) + x218
       =E= 0;

e58.. -log((0.15 + 0.15*x296)/(x275*x274)) + x219 =E= 0;

e59.. -log(0.15/(x275*x274)) + x220 =E= 0;

e60.. -log((0.125*x296/sqr(1 + x296) + 0.025*x274)/(x274*x275)) + x221 =E= 0;

e61.. -log(31.2/(x283*x276*x277*x278*x279)) + x222 =E= 0;

e62.. -log(31.2/(x283*x276*x277*x278*x279)) + x223 =E= 0;

e63.. -log(31.2/(x287*x276*x277*x278*x279)) + x224 =E= 0;

e64.. -log(31.2/(x287*x276*x277*x278*x279)) + x225 =E= 0;

e65.. -log((15.6 + 31.2*x291)/(x287*x276*x277*x278*x279)) + x226 =E= 0;

e66.. -log((0.15 + 0.15*x297)/(exp(-0.03*x293)*x279*x278)) + x227 =E= 0;

e67.. -log(0.15/(exp(-0.03*x293)*x279*x278)) + x228 =E= 0;

e68.. -log((0.125*x297/sqr(1 + x297) + 0.025*x278)/(x278*x279*exp(-0.03*x293)))
       + x229 =E= 0;

e69.. -log((7.8 + 15.6*x290)/(x284*x266*x267*x268*x269)) + x230 =E= 0;

e70.. -log((20.8 - 20.8*x281/x285 + 20.8*x288)/(x281*x270*x271*x272)) + x232
       =E= 0;

e71.. -log((62.5 - 62.5*x282/x286 + 62.5*x289)/(x282*x273*x274*x275)) + x234
       =E= 0;

e72.. -log((15.6 + 31.2*x291)/(x287*x276*x277*x278*x279)) + x236 =E= 0;

e73.. -exp(x199) + x238 =E= 0;

e74.. -15.6/(x284*x266*x267*x268*x269) + x239 =E= 0;

e75.. -15.6/(x284*x266*x267*x268*x269) + x240 =E= 0;

e76.. -(7.8 + 15.6*x290)/(x284*x266*x267*x268*x269) + x241 =E= 0;

e77.. -0.075/(exp(-0.03*x292)*x269*x268) + x242 =E= 0;

e78.. -0.075/(exp(-0.03*x292)*x269*x268) + x243 =E= 0;

e79.. -exp(x205) + x244 =E= 0;

e80.. -exp(x207) + x245 =E= 0;

e81.. -(20.8 - 20.8*x281/x285 + 20.8*x288)/(x281*x270*x271*x272) + x246 =E= 0;

e82.. -0.05/(x272*x271) + x249 =E= 0;

e83.. -0.05/(x272*x271) + x250 =E= 0;

e84.. -exp(x213) + x251 =E= 0;

e85.. -exp(x215) + x252 =E= 0;

e86.. -(62.5 - 62.5*x282/x286 + 62.5*x289)/(x282*x273*x274*x275) + x253 =E= 0;

e87.. -0.15/(x275*x274) + x256 =E= 0;

e88.. -0.15/(x275*x274) + x257 =E= 0;

e89.. -exp(x221) + x258 =E= 0;

e90.. -exp(x223) + x259 =E= 0;

e91.. -31.2/(x287*x276*x277*x278*x279) + x260 =E= 0;

e92.. -31.2/(x287*x276*x277*x278*x279) + x261 =E= 0;

e93.. -(15.6 + 31.2*x291)/(x287*x276*x277*x278*x279) + x262 =E= 0;

e94.. -0.15/(exp(-0.03*x293)*x279*x278) + x263 =E= 0;

e95.. -0.15/(exp(-0.03*x293)*x279*x278) + x264 =E= 0;

e96.. -exp(x229) + x265 =E= 0;

e97.. -log(4 + 3.8*log(0.35*x280/(1 - 0.0181818181818182*x280))) + x49 =E= 0;

e98.. -log(1.25 + (62.5 - 62.5*x280/x284)/x280*x266*x267*x268*x269*exp(x18)/
      exp(x12)) + x50 =E= 0;

e99.. -log(1.25 + 12.5*x292/(x284*x266*x267*x268*x269)*exp(x19)/exp(x13)) + x51
       =E= 0;

e100.. -log(1.75 + (62.5 + 125*x290)/(x284*x266*x267*x268*x269)*exp(x20)/exp(
       x14)) + x52 =E= 0;

e101.. -log(1 + (312.5 + 625*x290)/(x284*x266*x267*x268*x269)*(1 - 0.24*(1 - 
       exp(-1.5*x292))*x284*(1 - 0.5*exp(-2*x290))/(25 + 50*x290))*exp(x21)/
       exp(x15)) + x53 =E= 0;

e102.. -log(0.3 + (3 - 2*x294/sqr(1 + x294) - x268)/(x268*x269*exp(-0.03*x292))
       *exp(x23)/exp(x16)) + x55 =E= 0;

e103.. -log(0.375 + (0.005*x294/sqr(1 + x294) + 0.0025*x268)/(x268*x269*exp(-
       0.03*x292))*exp(x24)/exp(x11)) + x56 =E= 0;

e104.. -log(4 + 3.8*log(0.35*x281/(1 - 0.0181818181818182*x281))) + x57 =E= 0;

e105.. -log(1.75 + (83.5 - 83.5*x281/x285 + 83.5*x288)/x281*x270*x271*x272*exp(
       x26)/exp(x12)) + x58 =E= 0;

e106.. -log(1 + (835 - 835*x281/x285 + 835*x288)/(x281*x270*x271*x272)*(1 - 
       0.12*x281*x270/(50 - 50*x281/x285 + 50*x288))*exp(x29)/exp(x15)) + x61
        =E= 0;

e107.. -log(0.3 + (2 - x295/sqr(1 + x295) - x271)/(x271*x272)*exp(x31)/exp(x16)
       ) + x63 =E= 0;

e108.. -log(0.375 + (0.0025*x295/sqr(1 + x295) + 0.0025*x271)/(x271*x272)*exp(
       x32)/exp(x11)) + x64 =E= 0;

e109.. -log(4 + 3.8*log(0.35*x282/(1 - 0.0181818181818182*x282))) + x65 =E= 0;

e110.. -log(1.75 + (250 - 250*x282/x286 + 250*x289)/(x282*x273*x274*x275)*exp(
       x34)/exp(x12)) + x66 =E= 0;

e111.. -log(1 + (2500 - 2500*x282/x286 + 2500*x289)/(x282*x273*x274*x275)*(1 - 
       0.12*x282*x273/(50 - 50*x282/x286 + 50*x289))*exp(x37)/exp(x15)) + x69
        =E= 0;

e112.. -log(0.3 + (6 - 5*x296/sqr(1 + x296) - x274)/(x274*x275)*exp(x39)/exp(
       x16)) + x71 =E= 0;

e113.. -log(0.375 + (0.0125*x296/sqr(1 + x296) + 0.0025*x274)/(x274*x275)*exp(
       x40)/exp(x11)) + x72 =E= 0;

e114.. -log(4 + 3.8*log(0.35*x283/(1 - 0.0181818181818182*x283))) + x73 =E= 0;

e115.. -log(1.25 + (125 - 125*x283/x287)/(x283*x276*x277*x278*x279)*exp(x42)/
       exp(x12)) + x74 =E= 0;

e116.. -log(1.25 + 25*x293/(x287*x276*x277*x278*x279)*exp(x43)/exp(x13)) + x75
        =E= 0;

e117.. -log(1.75 + (125 + 250*x291)/(x287*x276*x277*x278*x279)*exp(x44)/exp(x14
       )) + x76 =E= 0;

e118.. -log(1 + (625 + 1250*x291)/(x287*x276*x277*x278*x279)*(1 - 0.24*(1 - 
       exp(-1.5*x293))*x287*(1 - 0.5*exp(-2*x291))/(25 + 50*x291))*exp(x45)/
       exp(x15)) + x77 =E= 0;

e119.. -log(0.3 + (6 - 5*x297/sqr(1 + x297) - x278)/(x278*x279*exp(-0.03*x293))
       *exp(x47)/exp(x16)) + x79 =E= 0;

e120.. -log(0.375 + (0.0125*x297/sqr(1 + x297) + 0.0025*x278)/(x278*x279*exp(-
       0.03*x293))*exp(x48)/exp(x11)) + x80 =E= 0;

e121.. -(1 - exp(-1.5*x292))*exp(-0.03*x292) + x266 =E= 0;

e122.. 0.5*exp(-2*x290) + x267 =E= 1;

e123.. -25.1*x294/((1 + 10**(-3.5 + 4.9*x294/(1 + x294))*x294)*(1 + 25.1*x294))
        + x268 =E= 0;

e124.. x281/x285*exp(-x288*x285/x281) + x270 =E= 1;

e125.. -50.1*x295/((1 + 10**(-4.25 + 5.95*x295/(1 + x295))*x295)*(1 + 50.1*x295
       )) + x271 =E= 0;

e126.. x282/x286*exp(-x289*x286/x282) + x273 =E= 1;

e127.. -31.6*x296/((1 + 10**(-3.75 + 5.25*x296/(1 + x296))*x296)*(1 + 31.6*x296
       )) + x274 =E= 0;

e128.. -(1 - exp(-1.5*x293))*exp(-0.03*x293) + x276 =E= 0;

e129.. 0.5*exp(-2*x291) + x277 =E= 1;

e130.. -39.8*x297/((1 + 10**(-4 + 5.6*x297/(1 + x297))*x297)*(1 + 39.8*x297))
        + x278 =E= 0;

e131..  - x17 + x49 - x81 - x106 =L= 0;

e132..  - x18 + x50 - x82 - x106 =L= 0;

e133..  - x19 + x51 - x83 - x106 =L= 0;

e134..  - x20 + x52 - x84 - x106 =L= 0;

e135..  - x21 + x53 - x85 - x106 =L= 0;

e136..  - x22 + x54 - x86 - x106 =L= 0;

e137..  - x23 + x55 - x87 - x106 =L= 0;

e138..  - x24 + x56 - x88 - x106 =L= 0;

e139..  - x25 + x57 - x81 - x107 =L= 0;

e140..  - x26 + x58 - x82 - x107 =L= 0;

e141..  - x27 + x59 - x83 - x107 =L= 0;

e142..  - x28 + x60 - x84 - x107 =L= 0;

e143..  - x29 + x61 - x85 - x107 =L= 0;

e144..  - x30 + x62 - x86 - x107 =L= 0;

e145..  - x31 + x63 - x87 - x107 =L= 0;

e146..  - x32 + x64 - x88 - x107 =L= 0;

e147..  - x33 + x65 - x81 - x108 =L= 0;

e148..  - x34 + x66 - x82 - x108 =L= 0;

e149..  - x35 + x67 - x83 - x108 =L= 0;

e150..  - x36 + x68 - x84 - x108 =L= 0;

e151..  - x37 + x69 - x85 - x108 =L= 0;

e152..  - x38 + x70 - x86 - x108 =L= 0;

e153..  - x39 + x71 - x87 - x108 =L= 0;

e154..  - x40 + x72 - x88 - x108 =L= 0;

e155..  - x41 + x73 - x81 - x109 =L= 0;

e156..  - x42 + x74 - x82 - x109 =L= 0;

e157..  - x43 + x75 - x83 - x109 =L= 0;

e158..  - x44 + x76 - x84 - x109 =L= 0;

e159..  - x45 + x77 - x85 - x109 =L= 0;

e160..  - x46 + x78 - x86 - x109 =L= 0;

e161..  - x47 + x79 - x87 - x109 =L= 0;

e162..  - x48 + x80 - x88 - x109 =L= 0;

e163.. 6000*exp(x106) + 3000*exp(x107) + 1500*exp(x108) + 1000*exp(x109)
        =L= 6000;

e164..    x17 - x18 - 2.99573227355399*b110 =L= 0;

e165..    x18 - x19 - 2.99573227355399*b111 =L= 0;

e166..    x19 - x20 - 2.99573227355399*b112 =L= 0;

e167..    x20 - x21 - 2.99573227355399*b113 =L= 0;

e168..    x21 - x22 - 2.99573227355399*b114 =L= 0;

e169..    x22 - x23 - 2.99573227355399*b115 =L= 0;

e170..    x23 - x24 - 2.99573227355399*b116 =L= 0;

e171..    x25 - x26 - 2.99573227355399*b110 =L= 0;

e172..    x26 - x27 - 2.99573227355399*b111 =L= 0;

e173..    x27 - x28 - 2.99573227355399*b112 =L= 0;

e174..    x28 - x29 - 2.99573227355399*b113 =L= 0;

e175..    x29 - x30 - 2.99573227355399*b114 =L= 0;

e176..    x30 - x31 - 2.99573227355399*b115 =L= 0;

e177..    x31 - x32 - 2.99573227355399*b116 =L= 0;

e178..    x33 - x34 - 2.99573227355399*b110 =L= 0;

e179..    x34 - x35 - 2.99573227355399*b111 =L= 0;

e180..    x35 - x36 - 2.99573227355399*b112 =L= 0;

e181..    x36 - x37 - 2.99573227355399*b113 =L= 0;

e182..    x37 - x38 - 2.99573227355399*b114 =L= 0;

e183..    x38 - x39 - 2.99573227355399*b115 =L= 0;

e184..    x39 - x40 - 2.99573227355399*b116 =L= 0;

e185..    x41 - x42 - 2.99573227355399*b110 =L= 0;

e186..    x42 - x43 - 2.99573227355399*b111 =L= 0;

e187..    x43 - x44 - 2.99573227355399*b112 =L= 0;

e188..    x44 - x45 - 2.99573227355399*b113 =L= 0;

e189..    x45 - x46 - 2.99573227355399*b114 =L= 0;

e190..    x46 - x47 - 2.99573227355399*b115 =L= 0;

e191..    x47 - x48 - 2.99573227355399*b116 =L= 0;

e192..    x17 - x18 + 2.99573227355399*b110 =G= 0;

e193..    x18 - x19 + 2.99573227355399*b111 =G= 0;

e194..    x19 - x20 + 2.99573227355399*b112 =G= 0;

e195..    x20 - x21 + 2.99573227355399*b113 =G= 0;

e196..    x21 - x22 + 2.99573227355399*b114 =G= 0;

e197..    x22 - x23 + 2.99573227355399*b115 =G= 0;

e198..    x23 - x24 + 2.99573227355399*b116 =G= 0;

e199..    x25 - x26 + 2.99573227355399*b110 =G= 0;

e200..    x26 - x27 + 2.99573227355399*b111 =G= 0;

e201..    x27 - x28 + 2.99573227355399*b112 =G= 0;

e202..    x28 - x29 + 2.99573227355399*b113 =G= 0;

e203..    x29 - x30 + 2.99573227355399*b114 =G= 0;

e204..    x30 - x31 + 2.99573227355399*b115 =G= 0;

e205..    x31 - x32 + 2.99573227355399*b116 =G= 0;

e206..    x33 - x34 + 2.99573227355399*b110 =G= 0;

e207..    x34 - x35 + 2.99573227355399*b111 =G= 0;

e208..    x35 - x36 + 2.99573227355399*b112 =G= 0;

e209..    x36 - x37 + 2.99573227355399*b113 =G= 0;

e210..    x37 - x38 + 2.99573227355399*b114 =G= 0;

e211..    x38 - x39 + 2.99573227355399*b115 =G= 0;

e212..    x39 - x40 + 2.99573227355399*b116 =G= 0;

e213..    x41 - x42 + 2.99573227355399*b110 =G= 0;

e214..    x42 - x43 + 2.99573227355399*b111 =G= 0;

e215..    x43 - x44 + 2.99573227355399*b112 =G= 0;

e216..    x44 - x45 + 2.99573227355399*b113 =G= 0;

e217..    x45 - x46 + 2.99573227355399*b114 =G= 0;

e218..    x46 - x47 + 2.99573227355399*b115 =G= 0;

e219..    x47 - x48 + 2.99573227355399*b116 =G= 0;

e220.. -(exp(x17 - x98) + exp(x18 - x98))*x238 - 10*b110 =G= -11;

e221.. -(exp(x18 - x99) + exp(x19 - x99))*x239 - 10*b111 =G= -11;

e222.. -(exp(x19 - x100) + exp(x20 - x100))*x240 - 10*b112 =G= -11;

e223.. -(exp(x20 - x101) + exp(x21 - x101))*x241 - 10*b113 =G= -11;

e224.. -(exp(x21 - x102) + exp(x22 - x102))*x242 - 10*b114 =G= -11;

e225.. -(exp(x22 - x103) + exp(x23 - x103))*x243 - 10*b115 =G= -11;

e226.. -(exp(x23 - x104) + exp(x24 - x104))*x244 - 10*b116 =G= -11;

e227.. -(exp(x25 - x98) + exp(x26 - x98))*x245 - 10*b110 =G= -11;

e228.. -(exp(x26 - x99) + exp(x27 - x99))*x246 - 10*b111 =G= -11;

e229.. -(exp(x27 - x100) + exp(x28 - x100))*x247 - 10*b112 =G= -11;

e230.. -(exp(x28 - x101) + exp(x29 - x101))*x248 - 10*b113 =G= -11;

e231.. -(exp(x29 - x102) + exp(x30 - x102))*x249 - 10*b114 =G= -11;

e232.. -(exp(x30 - x103) + exp(x31 - x103))*x250 - 10*b115 =G= -11;

e233.. -(exp(x31 - x104) + exp(x32 - x104))*x251 - 10*b116 =G= -11;

e234.. -(exp(x33 - x98) + exp(x34 - x98))*x252 - 10*b110 =G= -11;

e235.. -(exp(x34 - x99) + exp(x35 - x99))*x253 - 10*b111 =G= -11;

e236.. -(exp(x35 - x100) + exp(x36 - x100))*x254 - 10*b112 =G= -11;

e237.. -(exp(x36 - x101) + exp(x37 - x101))*x255 - 10*b113 =G= -11;

e238.. -(exp(x37 - x102) + exp(x38 - x102))*x256 - 10*b114 =G= -11;

e239.. -(exp(x38 - x103) + exp(x39 - x103))*x257 - 10*b115 =G= -11;

e240.. -(exp(x39 - x104) + exp(x40 - x104))*x258 - 10*b116 =G= -11;

e241.. -(exp(x41 - x98) + exp(x42 - x98))*x259 - 10*b110 =G= -11;

e242.. -(exp(x42 - x99) + exp(x43 - x99))*x260 - 10*b111 =G= -11;

e243.. -(exp(x43 - x100) + exp(x44 - x100))*x261 - 10*b112 =G= -11;

e244.. -(exp(x44 - x101) + exp(x45 - x101))*x262 - 10*b113 =G= -11;

e245.. -(exp(x45 - x102) + exp(x46 - x102))*x263 - 10*b114 =G= -11;

e246.. -(exp(x46 - x103) + exp(x47 - x103))*x264 - 10*b115 =G= -11;

e247.. -(exp(x47 - x104) + exp(x48 - x104))*x265 - 10*b116 =G= -11;

e248..    x81 - 0.693147180559945*b126 - 1.09861228866811*b134
        - 1.38629436111989*b142 - 1.6094379124341*b150 =E= 0;

e249..    x82 - 0.693147180559945*b127 - 1.09861228866811*b135
        - 1.38629436111989*b143 - 1.6094379124341*b151 =E= 0;

e250..    x83 - 0.693147180559945*b128 - 1.09861228866811*b136
        - 1.38629436111989*b144 - 1.6094379124341*b152 =E= 0;

e251..    x84 - 0.693147180559945*b129 - 1.09861228866811*b137
        - 1.38629436111989*b145 - 1.6094379124341*b153 =E= 0;

e252..    x85 - 0.693147180559945*b130 - 1.09861228866811*b138
        - 1.38629436111989*b146 - 1.6094379124341*b154 =E= 0;

e253..    x86 - 0.693147180559945*b131 - 1.09861228866811*b139
        - 1.38629436111989*b147 - 1.6094379124341*b155 =E= 0;

e254..    x87 - 0.693147180559945*b132 - 1.09861228866811*b140
        - 1.38629436111989*b148 - 1.6094379124341*b156 =E= 0;

e255..    x88 - 0.693147180559945*b133 - 1.09861228866811*b141
        - 1.38629436111989*b149 - 1.6094379124341*b157 =E= 0;

e256..    b118 + b126 + b134 + b142 + b150 =E= 1;

e257..    b119 + b127 + b135 + b143 + b151 =E= 1;

e258..    b120 + b128 + b136 + b144 + b152 =E= 1;

e259..    b121 + b129 + b137 + b145 + b153 =E= 1;

e260..    b122 + b130 + b138 + b146 + b154 =E= 1;

e261..    b123 + b131 + b139 + b147 + b155 =E= 1;

e262..    b124 + b132 + b140 + b148 + b156 =E= 1;

e263..    b125 + b133 + b141 + b149 + b157 =E= 1;

e264..    x89 - 0.693147180559945*b166 - 1.09861228866811*b174
        - 1.38629436111989*b182 - 1.6094379124341*b190 =E= 0;

e265..    x90 - 0.693147180559945*b167 - 1.09861228866811*b175
        - 1.38629436111989*b183 - 1.6094379124341*b191 =E= 0;

e266..    x91 - 0.693147180559945*b168 - 1.09861228866811*b176
        - 1.38629436111989*b184 - 1.6094379124341*b192 =E= 0;

e267..    x92 - 0.693147180559945*b169 - 1.09861228866811*b177
        - 1.38629436111989*b185 - 1.6094379124341*b193 =E= 0;

e268..    x93 - 0.693147180559945*b170 - 1.09861228866811*b178
        - 1.38629436111989*b186 - 1.6094379124341*b194 =E= 0;

e269..    x94 - 0.693147180559945*b171 - 1.09861228866811*b179
        - 1.38629436111989*b187 - 1.6094379124341*b195 =E= 0;

e270..    x95 - 0.693147180559945*b172 - 1.09861228866811*b180
        - 1.38629436111989*b188 - 1.6094379124341*b196 =E= 0;

e271..    x96 - 0.693147180559945*b173 - 1.09861228866811*b181
        - 1.38629436111989*b189 - 1.6094379124341*b197 =E= 0;

e272..    b158 + b166 + b174 + b182 + b190 =E= 1;

e273..    b159 + b167 + b175 + b183 + b191 =E= 1;

e274..    b160 + b168 + b176 + b184 + b192 =E= 1;

e275..    b161 + b169 + b177 + b185 + b193 =E= 1;

e276..    b162 + b170 + b178 + b186 + b194 =E= 1;

e277..    b163 + b171 + b179 + b187 + b195 =E= 1;

e278..    b164 + b172 + b180 + b188 + b196 =E= 1;

e279..    b165 + b173 + b181 + b189 + b197 =E= 1;

e280..    b110 + b111 + b112 + b113 + b114 + b115 + b116 + b117 =L= 7;

e281.. -(63400*exp(0.6*x1 + x81 + x89) + 5750*exp(0.6*x2 + x82 + x90) + 5750*
       exp(0.6*x3 + x83 + x91) + 5750*exp(0.6*x4 + x84 + x92) + 5750*exp(0.6*x5
        + x85 + x93) + 23100*exp(0.65*x6 + x86 + x94) + 5750*exp(0.6*x7 + x87
        + x95) + 5750*exp(0.6*x8 + x88 + x96) + 5750*exp(0.6*x9 + x82 + x90) + 
       5750*exp(0.6*x10 + x84 + x92) + 360000*exp(0.975*x11 + x88 + x96) + 2900
       *exp(0.85*x12 + x82 + x90) + 12100*exp(0.75*x13 + x83 + x91) + 2900*exp(
       0.85*x14 + x84 + x92) + 2900*exp(0.85*x15 + x85 + x93) + 2900*exp(0.85*
       x16 + x87 + x95) + 5750*(exp(0.6*x98) + exp(0.6*x99) + exp(0.6*x100) + 
       exp(0.6*x101) + exp(0.6*x102) + exp(0.6*x103) + exp(0.6*x104) + exp(0.6*
       x105))) + objvar =E= 0;

e282..    x280 - x284 =L= 0;

e283..    x281 - x285 =L= 0;

e284..    x282 - x286 =L= 0;

e285..    x283 - x287 =L= 0;

* set non-default bounds
x1.lo = -1.6094379124341; x1.up = 3.68887945411394;
x2.lo = -1.6094379124341; x2.up = 3.68887945411394;
x3.lo = -1.6094379124341; x3.up = 3.68887945411394;
x4.lo = -1.6094379124341; x4.up = 3.68887945411394;
x5.lo = -1.6094379124341; x5.up = 3.68887945411394;
x6.lo = -1.6094379124341; x6.up = 3.68887945411394;
x7.lo = -1.6094379124341; x7.up = 3.68887945411394;
x8.lo = -6.90775527898214; x8.up = 3.68887945411394;
x9.lo = -1.6094379124341; x9.up = 3.68887945411394;
x10.lo = -1.6094379124341; x10.up = 3.68887945411394;
x11.lo = -6.90775527898214; x11.up = -0.693147180559945;
x12.lo = 0.693147180559945; x12.up = 6.90775527898214;
x13.lo = -0.693147180559945; x13.up = 2.99573227355399;
x14.lo = 0.693147180559945; x14.up = 6.90775527898214;
x15.lo = 0.693147180559945; x15.up = 6.90775527898214;
x16.lo = 0.693147180559945; x16.up = 6.90775527898214;
x17.up = 5.29831736654804;
x18.up = 5.29831736654804;
x19.up = 5.29831736654804;
x20.up = 5.29831736654804;
x21.up = 5.29831736654804;
x22.up = 5.29831736654804;
x23.up = 5.29831736654804;
x24.up = 5.29831736654804;
x25.up = 5.29831736654804;
x26.up = 5.29831736654804;
x27.up = 5.29831736654804;
x28.up = 5.29831736654804;
x29.up = 5.29831736654804;
x30.up = 5.29831736654804;
x31.up = 5.29831736654804;
x32.up = 5.29831736654804;
x33.up = 5.29831736654804;
x34.up = 5.29831736654804;
x35.up = 5.29831736654804;
x36.up = 5.29831736654804;
x37.up = 5.29831736654804;
x38.up = 5.29831736654804;
x39.up = 5.29831736654804;
x40.up = 5.29831736654804;
x41.up = 5.29831736654804;
x42.up = 5.29831736654804;
x43.up = 5.29831736654804;
x44.up = 5.29831736654804;
x45.up = 5.29831736654804;
x46.up = 5.29831736654804;
x47.up = 5.29831736654804;
x48.up = 5.29831736654804;
x54.fx = 0.587786664902119;
x62.fx = 0.587786664902119;
x70.fx = 0.587786664902119;
x78.fx = 0.587786664902119;
x81.up = 1.6094379124341;
x82.up = 1.6094379124341;
x83.up = 1.6094379124341;
x84.up = 1.6094379124341;
x85.up = 1.6094379124341;
x86.up = 1.6094379124341;
x87.up = 1.6094379124341;
x88.up = 1.6094379124341;
x89.up = 1.6094379124341;
x90.up = 1.6094379124341;
x91.up = 1.6094379124341;
x92.up = 1.6094379124341;
x93.up = 1.6094379124341;
x94.up = 1.6094379124341;
x95.up = 1.6094379124341;
x96.up = 1.6094379124341;
x98.lo = -2.30258509299405; x98.up = 6.90775527898214;
x99.lo = -2.30258509299405; x99.up = 6.90775527898214;
x100.lo = -2.30258509299405; x100.up = 6.90775527898214;
x101.lo = -2.30258509299405; x101.up = 6.90775527898214;
x102.lo = -2.30258509299405; x102.up = 6.90775527898214;
x103.lo = -2.30258509299405; x103.up = 6.90775527898214;
x104.lo = -2.30258509299405; x104.up = 6.90775527898214;
x105.lo = -2.30258509299405; x105.up = 6.90775527898214;
x106.lo = -6.90775527898214; x106.up = 2.99573227355399;
x107.lo = -6.90775527898214; x107.up = 2.99573227355399;
x108.lo = -6.90775527898214; x108.up = 2.99573227355399;
x109.lo = -6.90775527898214; x109.up = 2.99573227355399;
b117.fx = 0;
x198.up = 1.6094379124341;
x199.up = 1.6094379124341;
x200.up = 1.6094379124341;
x201.up = 1.6094379124341;
x202.up = 1.6094379124341;
x203.up = 1.6094379124341;
x204.up = 1.6094379124341;
x205.up = 1.6094379124341;
x206.up = 1.6094379124341;
x207.up = 1.6094379124341;
x208.up = 1.6094379124341;
x209.up = 1.6094379124341;
x210.up = 1.6094379124341;
x211.up = 1.6094379124341;
x212.up = 1.6094379124341;
x213.up = 1.6094379124341;
x214.up = 1.6094379124341;
x215.up = 1.6094379124341;
x216.up = 1.6094379124341;
x217.up = 1.6094379124341;
x218.up = 1.6094379124341;
x219.up = 1.6094379124341;
x220.up = 1.6094379124341;
x221.up = 1.6094379124341;
x222.up = 1.6094379124341;
x223.up = 1.6094379124341;
x224.up = 1.6094379124341;
x225.up = 1.6094379124341;
x226.up = 1.6094379124341;
x227.up = 1.6094379124341;
x228.up = 1.6094379124341;
x229.up = 1.6094379124341;
x231.fx = -2.25129179860649;
x233.fx = -2.25129179860649;
x235.fx = -2.25129179860649;
x237.fx = -2.25129179860649;
x247.fx = 0;
x248.fx = 0;
x254.fx = 0;
x255.fx = 0;
x266.lo = 0.1; x266.up = 1;
x267.lo = 0.1; x267.up = 1;
x268.lo = 0.1; x268.up = 1;
x269.fx = 0.95;
x270.lo = 0.1; x270.up = 1;
x271.lo = 0.1; x271.up = 1;
x272.fx = 0.95;
x273.lo = 0.1; x273.up = 1;
x274.lo = 0.1; x274.up = 1;
x275.fx = 0.95;
x276.lo = 0.1; x276.up = 1;
x277.lo = 0.1; x277.up = 1;
x278.lo = 0.1; x278.up = 1;
x279.fx = 0.95;
x280.lo = 10; x280.up = 54.5;
x281.lo = 10; x281.up = 54.5;
x282.lo = 10; x282.up = 54.5;
x283.lo = 10; x283.up = 54.5;
x284.lo = 10; x284.up = 250;
x285.lo = 10; x285.up = 250;
x286.lo = 10; x286.up = 250;
x287.lo = 10; x287.up = 250;
x288.lo = 0.1; x288.up = 10;
x289.lo = 0.1; x289.up = 10;
x290.lo = 0.5; x290.up = 10;
x291.lo = 0.5; x291.up = 10;
x292.lo = 0.5; x292.up = 6;
x293.lo = 0.5; x293.up = 6;
x294.lo = 0.1; x294.up = 4;
x295.lo = 0.1; x295.up = 4;
x296.lo = 0.1; x296.up = 4;
x297.lo = 0.1; x297.up = 4;

* set non-default levels
x1.l = 2.99573227355399;
x2.l = 2.99573227355399;
x3.l = 2.94443897916644;
x4.l = 2.94443897916644;
x6.l = 1.9677597942808;
x7.l = 1.27461261372086;
x8.l = -1.1298234508907;
x10.l = 2.0433602879393;
x17.l = 2.94443897916644;
x18.l = 2.94443897916644;
x19.l = 2.94443897916644;
x20.l = 2.94443897916644;
x21.l = 2.94443897916644;
x22.l = 2.94443897916644;
x23.l = 2.94443897916644;
x24.l = 2.94443897916644;
x25.l = 2.94443897916644;
x26.l = 2.94443897916644;
x27.l = 2.94443897916644;
x28.l = 2.94443897916644;
x29.l = 2.94443897916644;
x30.l = 2.94443897916644;
x31.l = 2.94443897916644;
x32.l = 2.94443897916644;
x33.l = 2.61614353244073;
x34.l = 2.61614353244073;
x35.l = 2.61614353244073;
x36.l = 2.61614353244073;
x37.l = 2.61614353244073;
x38.l = 2.61614353244073;
x39.l = 2.61614353244073;
x40.l = 2.61614353244073;
x41.l = 2.94443897916644;
x42.l = 2.94443897916644;
x43.l = 2.94443897916644;
x44.l = 2.94443897916644;
x45.l = 2.94443897916644;
x46.l = 2.94443897916644;
x47.l = 2.94443897916644;
x48.l = 2.94443897916644;
x49.l = 3.17756893714648;
x50.l = 0.233622804898907;
x51.l = 0.399415336353673;
x52.l = 0.577807612471274;
x53.l = 0.0827635536142284;
x55.l = -1.07858898697236;
x56.l = -0.604447984103336;
x57.l = 3.17756893714648;
x58.l = 0.591132698406824;
x61.l = 0.516209904652203;
x63.l = -1.1469821150246;
x64.l = -0.689448619982603;
x65.l = 3.17756893714648;
x66.l = 0.647103242058539;
x69.l = 0.917954032114244;
x71.l = -1.01757906523769;
x72.l = -0.603587003016137;
x73.l = 3.17756893714648;
x74.l = 0.259570495557779;
x75.l = 0.538673267899503;
x76.l = 0.594337876584314;
x77.l = 0.165264958927998;
x79.l = -0.938029907934514;
x80.l = -0.456539109459263;
x81.l = 1.38629436111989;
x96.l = 1.38629436111989;
x98.l = 3.68887945411394;
x99.l = 4.38202663467388;
x100.l = 2.0433602879393;
x101.l = 2.73650746849925;
x102.l = 1.9677597942808;
x103.l = 1.9677597942808;
x104.l = 0.949618090789135;
x106.l = -1.15316440313985;
x107.l = -1.15316440313985;
x108.l = -0.824868956414142;
x109.l = -1.15316440313985;
x198.l = -0.862636840383206;
x199.l = -0.862636840383206;
x200.l = -2.2489312015031;
x201.l = -2.2489312015031;
x202.l = -1.55578402094315;
x203.l = -1.63138451460165;
x204.l = -2.32453169516159;
x205.l = -3.09889665499776;
x206.l = -0.752600105692548;
x207.l = -0.752600105692548;
x210.l = -0.0594529251326021;
x211.l = -2.17980108705855;
x212.l = -2.8729482676185;
x213.l = -3.39972974065073;
x214.l = 0.379588741113263;
x215.l = 0.379588741113263;
x218.l = 1.07273592167321;
x219.l = -1.04921352161972;
x220.l = -1.74236070217966;
x221.l = -2.76785883450285;
x222.l = -0.207931510667194;
x223.l = -0.207931510667194;
x224.l = -1.59422587178708;
x225.l = -1.59422587178708;
x226.l = -0.901078691227139;
x227.l = -0.976679184885637;
x228.l = -1.66982636544558;
x229.l = -2.68796806893725;
x230.l = -1.55578402094315;
x232.l = -0.0594529251326021;
x234.l = 1.07273592167321;
x236.l = -0.901078691227139;
x238.l = 0.422047741265856;
x239.l = 0.105511935316464;
x240.l = 0.105511935316464;
x241.l = 0.211023870632928;
x242.l = 0.0978292472354046;
x243.l = 0.0978292472354046;
x244.l = 0.0450989346367396;
x245.l = 0.471139945124032;
x246.l = 0.942279890248065;
x249.l = 0.0565320091501422;
x250.l = 0.0565320091501422;
x251.l = 0.033382290617452;
x252.l = 1.46168333554586;
x253.l = 2.92336667109171;
x256.l = 0.175106537920172;
x257.l = 0.175106537920172;
x258.l = 0.0627963182070535;
x259.l = 0.812262666134973;
x260.l = 0.203065666533743;
x261.l = 0.203065666533743;
x262.l = 0.406131333067486;
x263.l = 0.188279754672;
x264.l = 0.188279754672;
x265.l = 0.0680190089875055;
x266.l = 0.903778326897858;
x267.l = 0.975106465816068;
x268.l = 0.882989317955773;
x270.l = 0.998315513250229;
x271.l = 0.931004925149313;
x273.l = 0.998315513250229;
x274.l = 0.901706690780938;
x276.l = 0.903778326897858;
x277.l = 0.975106465816068;
x278.l = 0.917593932953673;
x280.l = 50;
x281.l = 50;
x282.l = 50;
x283.l = 50;
x284.l = 200;
x285.l = 200;
x286.l = 200;
x287.l = 200;
x288.l = 1.25;
x289.l = 1.25;
x290.l = 1.5;
x291.l = 1.5;
x292.l = 3;
x293.l = 3;
x294.l = 1;
x295.l = 1;
x296.l = 1;
x297.l = 1;

Model m / all /;

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

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

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


Last updated: 2024-04-02 Git hash: 1dd5fb9b
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