MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn20m02h

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
1752.13345800 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
1752.21427600 (ALPHAECP)
1752.13346000 (ANTIGONE)
1752.13346000 (BARON)
1752.13345800 (BONMIN)
2552.20697200 (COUENNE)
1752.13345800 (LINDO)
1752.13374400 (SCIP)
1752.13406600 (SHOT)
References Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339.
Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978.
Source Syn20M02H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by syn20m02hfsg.
Problem type MBNLP
#Variables 382
#Binary Variables 80
#Integer Variables 0
#Nonlinear Variables 80
#Nonlinear Binary Variables 26
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 68
#Nonlinear Nonzeros in Objective 0
#Constraints 606
#Linear Constraints 578
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 28
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1306
#Nonlinear Nonzeros in Jacobian 84
#Nonzeros in (Upper-Left) Hessian of Lagrangian 162
#Nonzeros in Diagonal of Hessian of Lagrangian 54
#Blocks in Hessian of Lagrangian 26
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.076923
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
Maximal coefficient 4.0500e+02
Infeasibility of initial point 1
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
*        607      253       54      300        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        383      303       80        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1375     1291       84        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,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,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383;

Positive Variables  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;

Binary Variables  b304,b305,b306,b307,b308,b309,b310,b311,b312,b313,b314,b315
          ,b316,b317,b318,b319,b320,b321,b322,b323,b324,b325,b326,b327,b328
          ,b329,b330,b331,b332,b333,b334,b335,b336,b337,b338,b339,b340,b341
          ,b342,b343,b344,b345,b346,b347,b348,b349,b350,b351,b352,b353,b354
          ,b355,b356,b357,b358,b359,b360,b361,b362,b363,b364,b365,b366,b367
          ,b368,b369,b370,b371,b372,b373,b374,b375,b376,b377,b378,b379,b380
          ,b381,b382,b383;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607;


e1..    objvar + x42 + x43 - 5*x54 - 10*x55 + 2*x64 + x65 + 10*x98 + 5*x99
      + 5*x100 + 5*x101 - 80*x114 - 130*x115 - 110*x116 - 120*x117 - 110*x118
      - 130*x119 - 80*x120 - 90*x121 - 285*x122 - 390*x123 - 290*x124
      - 405*x125 - 280*x126 - 400*x127 - 290*x128 - 300*x129 - 350*x130
      - 250*x131 + 5*b344 + 4*b345 + 8*b346 + 7*b347 + 6*b348 + 9*b349
      + 10*b350 + 9*b351 + 6*b352 + 10*b353 + 7*b354 + 7*b355 + 4*b356 + 3*b357
      + 5*b358 + 6*b359 + 2*b360 + 5*b361 + 4*b362 + 7*b363 + 3*b364 + 9*b365
      + 7*b366 + 2*b367 + 3*b368 + b369 + 2*b370 + 6*b371 + 4*b372 + 8*b373
      + 2*b374 + 5*b375 + 3*b376 + 4*b377 + 5*b378 + 7*b379 + 2*b380 + 8*b381
      + b382 + 4*b383 =E= 0;

e2..    x42 - x44 - x46 =E= 0;

e3..    x43 - x45 - x47 =E= 0;

e4..  - x48 - x50 + x52 =E= 0;

e5..  - x49 - x51 + x53 =E= 0;

e6..    x52 - x54 - x56 =E= 0;

e7..    x53 - x55 - x57 =E= 0;

e8..    x56 - x58 - x60 - x62 =E= 0;

e9..    x57 - x59 - x61 - x63 =E= 0;

e10..    x66 - x72 - x74 =E= 0;

e11..    x67 - x73 - x75 =E= 0;

e12..    x70 - x76 - x78 - x80 =E= 0;

e13..    x71 - x77 - x79 - x81 =E= 0;

e14..    x86 - x94 - x96 =E= 0;

e15..    x87 - x95 - x97 =E= 0;

e16..  - x88 - x100 + x102 =E= 0;

e17..  - x89 - x101 + x103 =E= 0;

e18..    x90 - x104 - x106 =E= 0;

e19..    x91 - x105 - x107 =E= 0;

e20..    x92 - x108 - x110 - x112 =E= 0;

e21..    x93 - x109 - x111 - x113 =E= 0;

e22.. (x140/(1e-6 + b304) - log(1 + x132/(1e-6 + b304)))*(1e-6 + b304) =L= 0;

e23.. (x141/(1e-6 + b305) - log(1 + x133/(1e-6 + b305)))*(1e-6 + b305) =L= 0;

e24..    x134 =E= 0;

e25..    x135 =E= 0;

e26..    x142 =E= 0;

e27..    x143 =E= 0;

e28..    x44 - x132 - x134 =E= 0;

e29..    x45 - x133 - x135 =E= 0;

e30..    x48 - x140 - x142 =E= 0;

e31..    x49 - x141 - x143 =E= 0;

e32..    x132 - 40*b304 =L= 0;

e33..    x133 - 40*b305 =L= 0;

e34..    x134 + 40*b304 =L= 40;

e35..    x135 + 40*b305 =L= 40;

e36..    x140 - 3.71357206670431*b304 =L= 0;

e37..    x141 - 3.71357206670431*b305 =L= 0;

e38..    x142 + 3.71357206670431*b304 =L= 3.71357206670431;

e39..    x143 + 3.71357206670431*b305 =L= 3.71357206670431;

e40.. (x144/(1e-6 + b306) - 1.2*log(1 + x136/(1e-6 + b306)))*(1e-6 + b306)
       =L= 0;

e41.. (x145/(1e-6 + b307) - 1.2*log(1 + x137/(1e-6 + b307)))*(1e-6 + b307)
       =L= 0;

e42..    x138 =E= 0;

e43..    x139 =E= 0;

e44..    x146 =E= 0;

e45..    x147 =E= 0;

e46..    x46 - x136 - x138 =E= 0;

e47..    x47 - x137 - x139 =E= 0;

e48..    x50 - x144 - x146 =E= 0;

e49..    x51 - x145 - x147 =E= 0;

e50..    x136 - 40*b306 =L= 0;

e51..    x137 - 40*b307 =L= 0;

e52..    x138 + 40*b306 =L= 40;

e53..    x139 + 40*b307 =L= 40;

e54..    x144 - 4.45628648004517*b306 =L= 0;

e55..    x145 - 4.45628648004517*b307 =L= 0;

e56..    x146 + 4.45628648004517*b306 =L= 4.45628648004517;

e57..    x147 + 4.45628648004517*b307 =L= 4.45628648004517;

e58..  - 0.75*x148 + x164 =E= 0;

e59..  - 0.75*x149 + x165 =E= 0;

e60..    x150 =E= 0;

e61..    x151 =E= 0;

e62..    x166 =E= 0;

e63..    x167 =E= 0;

e64..    x58 - x148 - x150 =E= 0;

e65..    x59 - x149 - x151 =E= 0;

e66..    x66 - x164 - x166 =E= 0;

e67..    x67 - x165 - x167 =E= 0;

e68..    x148 - 4.45628648004517*b308 =L= 0;

e69..    x149 - 4.45628648004517*b309 =L= 0;

e70..    x150 + 4.45628648004517*b308 =L= 4.45628648004517;

e71..    x151 + 4.45628648004517*b309 =L= 4.45628648004517;

e72..    x164 - 3.34221486003388*b308 =L= 0;

e73..    x165 - 3.34221486003388*b309 =L= 0;

e74..    x166 + 3.34221486003388*b308 =L= 3.34221486003388;

e75..    x167 + 3.34221486003388*b309 =L= 3.34221486003388;

e76.. (x168/(1e-6 + b310) - 1.5*log(1 + x152/(1e-6 + b310)))*(1e-6 + b310)
       =L= 0;

e77.. (x169/(1e-6 + b311) - 1.5*log(1 + x153/(1e-6 + b311)))*(1e-6 + b311)
       =L= 0;

e78..    x154 =E= 0;

e79..    x155 =E= 0;

e80..    x172 =E= 0;

e81..    x173 =E= 0;

e82..    x60 - x152 - x154 =E= 0;

e83..    x61 - x153 - x155 =E= 0;

e84..    x68 - x168 - x172 =E= 0;

e85..    x69 - x169 - x173 =E= 0;

e86..    x152 - 4.45628648004517*b310 =L= 0;

e87..    x153 - 4.45628648004517*b311 =L= 0;

e88..    x154 + 4.45628648004517*b310 =L= 4.45628648004517;

e89..    x155 + 4.45628648004517*b311 =L= 4.45628648004517;

e90..    x168 - 2.54515263975353*b310 =L= 0;

e91..    x169 - 2.54515263975353*b311 =L= 0;

e92..    x172 + 2.54515263975353*b310 =L= 2.54515263975353;

e93..    x173 + 2.54515263975353*b311 =L= 2.54515263975353;

e94..  - x156 + x176 =E= 0;

e95..  - x157 + x177 =E= 0;

e96..  - 0.5*x160 + x176 =E= 0;

e97..  - 0.5*x161 + x177 =E= 0;

e98..    x158 =E= 0;

e99..    x159 =E= 0;

e100..    x162 =E= 0;

e101..    x163 =E= 0;

e102..    x178 =E= 0;

e103..    x179 =E= 0;

e104..    x62 - x156 - x158 =E= 0;

e105..    x63 - x157 - x159 =E= 0;

e106..    x64 - x160 - x162 =E= 0;

e107..    x65 - x161 - x163 =E= 0;

e108..    x70 - x176 - x178 =E= 0;

e109..    x71 - x177 - x179 =E= 0;

e110..    x156 - 4.45628648004517*b312 =L= 0;

e111..    x157 - 4.45628648004517*b313 =L= 0;

e112..    x158 + 4.45628648004517*b312 =L= 4.45628648004517;

e113..    x159 + 4.45628648004517*b313 =L= 4.45628648004517;

e114..    x160 - 30*b312 =L= 0;

e115..    x161 - 30*b313 =L= 0;

e116..    x162 + 30*b312 =L= 30;

e117..    x163 + 30*b313 =L= 30;

e118..    x176 - 15*b312 =L= 0;

e119..    x177 - 15*b313 =L= 0;

e120..    x178 + 15*b312 =L= 15;

e121..    x179 + 15*b313 =L= 15;

e122.. (x200/(1e-6 + b314) - 1.25*log(1 + x180/(1e-6 + b314)))*(1e-6 + b314)
        =L= 0;

e123.. (x201/(1e-6 + b315) - 1.25*log(1 + x181/(1e-6 + b315)))*(1e-6 + b315)
        =L= 0;

e124..    x182 =E= 0;

e125..    x183 =E= 0;

e126..    x204 =E= 0;

e127..    x205 =E= 0;

e128..    x72 - x180 - x182 =E= 0;

e129..    x73 - x181 - x183 =E= 0;

e130..    x82 - x200 - x204 =E= 0;

e131..    x83 - x201 - x205 =E= 0;

e132..    x180 - 3.34221486003388*b314 =L= 0;

e133..    x181 - 3.34221486003388*b315 =L= 0;

e134..    x182 + 3.34221486003388*b314 =L= 3.34221486003388;

e135..    x183 + 3.34221486003388*b315 =L= 3.34221486003388;

e136..    x200 - 1.83548069293539*b314 =L= 0;

e137..    x201 - 1.83548069293539*b315 =L= 0;

e138..    x204 + 1.83548069293539*b314 =L= 1.83548069293539;

e139..    x205 + 1.83548069293539*b315 =L= 1.83548069293539;

e140.. (x208/(1e-6 + b316) - 0.9*log(1 + x184/(1e-6 + b316)))*(1e-6 + b316)
        =L= 0;

e141.. (x209/(1e-6 + b317) - 0.9*log(1 + x185/(1e-6 + b317)))*(1e-6 + b317)
        =L= 0;

e142..    x186 =E= 0;

e143..    x187 =E= 0;

e144..    x212 =E= 0;

e145..    x213 =E= 0;

e146..    x74 - x184 - x186 =E= 0;

e147..    x75 - x185 - x187 =E= 0;

e148..    x84 - x208 - x212 =E= 0;

e149..    x85 - x209 - x213 =E= 0;

e150..    x184 - 3.34221486003388*b316 =L= 0;

e151..    x185 - 3.34221486003388*b317 =L= 0;

e152..    x186 + 3.34221486003388*b316 =L= 3.34221486003388;

e153..    x187 + 3.34221486003388*b317 =L= 3.34221486003388;

e154..    x208 - 1.32154609891348*b316 =L= 0;

e155..    x209 - 1.32154609891348*b317 =L= 0;

e156..    x212 + 1.32154609891348*b316 =L= 1.32154609891348;

e157..    x213 + 1.32154609891348*b317 =L= 1.32154609891348;

e158.. (x216/(1e-6 + b318) - log(1 + x170/(1e-6 + b318)))*(1e-6 + b318) =L= 0;

e159.. (x217/(1e-6 + b319) - log(1 + x171/(1e-6 + b319)))*(1e-6 + b319) =L= 0;

e160..    x174 =E= 0;

e161..    x175 =E= 0;

e162..    x218 =E= 0;

e163..    x219 =E= 0;

e164..    x68 - x170 - x174 =E= 0;

e165..    x69 - x171 - x175 =E= 0;

e166..    x86 - x216 - x218 =E= 0;

e167..    x87 - x217 - x219 =E= 0;

e168..    x170 - 2.54515263975353*b318 =L= 0;

e169..    x171 - 2.54515263975353*b319 =L= 0;

e170..    x174 + 2.54515263975353*b318 =L= 2.54515263975353;

e171..    x175 + 2.54515263975353*b319 =L= 2.54515263975353;

e172..    x216 - 1.26558121681553*b318 =L= 0;

e173..    x217 - 1.26558121681553*b319 =L= 0;

e174..    x218 + 1.26558121681553*b318 =L= 1.26558121681553;

e175..    x219 + 1.26558121681553*b319 =L= 1.26558121681553;

e176..  - 0.9*x188 + x220 =E= 0;

e177..  - 0.9*x189 + x221 =E= 0;

e178..    x190 =E= 0;

e179..    x191 =E= 0;

e180..    x222 =E= 0;

e181..    x223 =E= 0;

e182..    x76 - x188 - x190 =E= 0;

e183..    x77 - x189 - x191 =E= 0;

e184..    x88 - x220 - x222 =E= 0;

e185..    x89 - x221 - x223 =E= 0;

e186..    x188 - 15*b320 =L= 0;

e187..    x189 - 15*b321 =L= 0;

e188..    x190 + 15*b320 =L= 15;

e189..    x191 + 15*b321 =L= 15;

e190..    x220 - 13.5*b320 =L= 0;

e191..    x221 - 13.5*b321 =L= 0;

e192..    x222 + 13.5*b320 =L= 13.5;

e193..    x223 + 13.5*b321 =L= 13.5;

e194..  - 0.6*x192 + x224 =E= 0;

e195..  - 0.6*x193 + x225 =E= 0;

e196..    x194 =E= 0;

e197..    x195 =E= 0;

e198..    x226 =E= 0;

e199..    x227 =E= 0;

e200..    x78 - x192 - x194 =E= 0;

e201..    x79 - x193 - x195 =E= 0;

e202..    x90 - x224 - x226 =E= 0;

e203..    x91 - x225 - x227 =E= 0;

e204..    x192 - 15*b322 =L= 0;

e205..    x193 - 15*b323 =L= 0;

e206..    x194 + 15*b322 =L= 15;

e207..    x195 + 15*b323 =L= 15;

e208..    x224 - 9*b322 =L= 0;

e209..    x225 - 9*b323 =L= 0;

e210..    x226 + 9*b322 =L= 9;

e211..    x227 + 9*b323 =L= 9;

e212.. (x228/(1e-6 + b324) - 1.1*log(1 + x196/(1e-6 + b324)))*(1e-6 + b324)
        =L= 0;

e213.. (x229/(1e-6 + b325) - 1.1*log(1 + x197/(1e-6 + b325)))*(1e-6 + b325)
        =L= 0;

e214..    x198 =E= 0;

e215..    x199 =E= 0;

e216..    x230 =E= 0;

e217..    x231 =E= 0;

e218..    x80 - x196 - x198 =E= 0;

e219..    x81 - x197 - x199 =E= 0;

e220..    x92 - x228 - x230 =E= 0;

e221..    x93 - x229 - x231 =E= 0;

e222..    x196 - 15*b324 =L= 0;

e223..    x197 - 15*b325 =L= 0;

e224..    x198 + 15*b324 =L= 15;

e225..    x199 + 15*b325 =L= 15;

e226..    x228 - 3.04984759446376*b324 =L= 0;

e227..    x229 - 3.04984759446376*b325 =L= 0;

e228..    x230 + 3.04984759446376*b324 =L= 3.04984759446376;

e229..    x231 + 3.04984759446376*b325 =L= 3.04984759446376;

e230..  - 0.9*x202 + x268 =E= 0;

e231..  - 0.9*x203 + x269 =E= 0;

e232..  - x240 + x268 =E= 0;

e233..  - x241 + x269 =E= 0;

e234..    x206 =E= 0;

e235..    x207 =E= 0;

e236..    x242 =E= 0;

e237..    x243 =E= 0;

e238..    x270 =E= 0;

e239..    x271 =E= 0;

e240..    x82 - x202 - x206 =E= 0;

e241..    x83 - x203 - x207 =E= 0;

e242..    x98 - x240 - x242 =E= 0;

e243..    x99 - x241 - x243 =E= 0;

e244..    x114 - x268 - x270 =E= 0;

e245..    x115 - x269 - x271 =E= 0;

e246..    x202 - 1.83548069293539*b326 =L= 0;

e247..    x203 - 1.83548069293539*b327 =L= 0;

e248..    x206 + 1.83548069293539*b326 =L= 1.83548069293539;

e249..    x207 + 1.83548069293539*b327 =L= 1.83548069293539;

e250..    x240 - 20*b326 =L= 0;

e251..    x241 - 20*b327 =L= 0;

e252..    x242 + 20*b326 =L= 20;

e253..    x243 + 20*b327 =L= 20;

e254..    x268 - 20*b326 =L= 0;

e255..    x269 - 20*b327 =L= 0;

e256..    x270 + 20*b326 =L= 20;

e257..    x271 + 20*b327 =L= 20;

e258.. (x272/(1e-6 + b328) - log(1 + x210/(1e-6 + b328)))*(1e-6 + b328) =L= 0;

e259.. (x273/(1e-6 + b329) - log(1 + x211/(1e-6 + b329)))*(1e-6 + b329) =L= 0;

e260..    x214 =E= 0;

e261..    x215 =E= 0;

e262..    x274 =E= 0;

e263..    x275 =E= 0;

e264..    x84 - x210 - x214 =E= 0;

e265..    x85 - x211 - x215 =E= 0;

e266..    x116 - x272 - x274 =E= 0;

e267..    x117 - x273 - x275 =E= 0;

e268..    x210 - 1.32154609891348*b328 =L= 0;

e269..    x211 - 1.32154609891348*b329 =L= 0;

e270..    x214 + 1.32154609891348*b328 =L= 1.32154609891348;

e271..    x215 + 1.32154609891348*b329 =L= 1.32154609891348;

e272..    x272 - 0.842233385663186*b328 =L= 0;

e273..    x273 - 0.842233385663186*b329 =L= 0;

e274..    x274 + 0.842233385663186*b328 =L= 0.842233385663186;

e275..    x275 + 0.842233385663186*b329 =L= 0.842233385663186;

e276.. (x276/(1e-6 + b330) - 0.7*log(1 + x232/(1e-6 + b330)))*(1e-6 + b330)
        =L= 0;

e277.. (x277/(1e-6 + b331) - 0.7*log(1 + x233/(1e-6 + b331)))*(1e-6 + b331)
        =L= 0;

e278..    x234 =E= 0;

e279..    x235 =E= 0;

e280..    x278 =E= 0;

e281..    x279 =E= 0;

e282..    x94 - x232 - x234 =E= 0;

e283..    x95 - x233 - x235 =E= 0;

e284..    x118 - x276 - x278 =E= 0;

e285..    x119 - x277 - x279 =E= 0;

e286..    x232 - 1.26558121681553*b330 =L= 0;

e287..    x233 - 1.26558121681553*b331 =L= 0;

e288..    x234 + 1.26558121681553*b330 =L= 1.26558121681553;

e289..    x235 + 1.26558121681553*b331 =L= 1.26558121681553;

e290..    x276 - 0.572481933717686*b330 =L= 0;

e291..    x277 - 0.572481933717686*b331 =L= 0;

e292..    x278 + 0.572481933717686*b330 =L= 0.572481933717686;

e293..    x279 + 0.572481933717686*b331 =L= 0.572481933717686;

e294.. (x280/(1e-6 + b332) - 0.65*log(1 + x236/(1e-6 + b332)))*(1e-6 + b332)
        =L= 0;

e295.. (x281/(1e-6 + b333) - 0.65*log(1 + x237/(1e-6 + b333)))*(1e-6 + b333)
        =L= 0;

e296.. (x280/(1e-6 + b332) - 0.65*log(1 + x244/(1e-6 + b332)))*(1e-6 + b332)
        =L= 0;

e297.. (x281/(1e-6 + b333) - 0.65*log(1 + x245/(1e-6 + b333)))*(1e-6 + b333)
        =L= 0;

e298..    x238 =E= 0;

e299..    x239 =E= 0;

e300..    x246 =E= 0;

e301..    x247 =E= 0;

e302..    x282 =E= 0;

e303..    x283 =E= 0;

e304..    x96 - x236 - x238 =E= 0;

e305..    x97 - x237 - x239 =E= 0;

e306..    x102 - x244 - x246 =E= 0;

e307..    x103 - x245 - x247 =E= 0;

e308..    x120 - x280 - x282 =E= 0;

e309..    x121 - x281 - x283 =E= 0;

e310..    x236 - 1.26558121681553*b332 =L= 0;

e311..    x237 - 1.26558121681553*b333 =L= 0;

e312..    x238 + 1.26558121681553*b332 =L= 1.26558121681553;

e313..    x239 + 1.26558121681553*b333 =L= 1.26558121681553;

e314..    x244 - 33.5*b332 =L= 0;

e315..    x245 - 33.5*b333 =L= 0;

e316..    x246 + 33.5*b332 =L= 33.5;

e317..    x247 + 33.5*b333 =L= 33.5;

e318..    x280 - 2.30162356062425*b332 =L= 0;

e319..    x281 - 2.30162356062425*b333 =L= 0;

e320..    x282 + 2.30162356062425*b332 =L= 2.30162356062425;

e321..    x283 + 2.30162356062425*b333 =L= 2.30162356062425;

e322..  - x248 + x284 =E= 0;

e323..  - x249 + x285 =E= 0;

e324..    x250 =E= 0;

e325..    x251 =E= 0;

e326..    x286 =E= 0;

e327..    x287 =E= 0;

e328..    x104 - x248 - x250 =E= 0;

e329..    x105 - x249 - x251 =E= 0;

e330..    x122 - x284 - x286 =E= 0;

e331..    x123 - x285 - x287 =E= 0;

e332..    x248 - 9*b334 =L= 0;

e333..    x249 - 9*b335 =L= 0;

e334..    x250 + 9*b334 =L= 9;

e335..    x251 + 9*b335 =L= 9;

e336..    x284 - 9*b334 =L= 0;

e337..    x285 - 9*b335 =L= 0;

e338..    x286 + 9*b334 =L= 9;

e339..    x287 + 9*b335 =L= 9;

e340..  - x252 + x288 =E= 0;

e341..  - x253 + x289 =E= 0;

e342..    x254 =E= 0;

e343..    x255 =E= 0;

e344..    x290 =E= 0;

e345..    x291 =E= 0;

e346..    x106 - x252 - x254 =E= 0;

e347..    x107 - x253 - x255 =E= 0;

e348..    x124 - x288 - x290 =E= 0;

e349..    x125 - x289 - x291 =E= 0;

e350..    x252 - 9*b336 =L= 0;

e351..    x253 - 9*b337 =L= 0;

e352..    x254 + 9*b336 =L= 9;

e353..    x255 + 9*b337 =L= 9;

e354..    x288 - 9*b336 =L= 0;

e355..    x289 - 9*b337 =L= 0;

e356..    x290 + 9*b336 =L= 9;

e357..    x291 + 9*b337 =L= 9;

e358.. (x292/(1e-6 + b338) - 0.75*log(1 + x256/(1e-6 + b338)))*(1e-6 + b338)
        =L= 0;

e359.. (x293/(1e-6 + b339) - 0.75*log(1 + x257/(1e-6 + b339)))*(1e-6 + b339)
        =L= 0;

e360..    x258 =E= 0;

e361..    x259 =E= 0;

e362..    x294 =E= 0;

e363..    x295 =E= 0;

e364..    x108 - x256 - x258 =E= 0;

e365..    x109 - x257 - x259 =E= 0;

e366..    x126 - x292 - x294 =E= 0;

e367..    x127 - x293 - x295 =E= 0;

e368..    x256 - 3.04984759446376*b338 =L= 0;

e369..    x257 - 3.04984759446376*b339 =L= 0;

e370..    x258 + 3.04984759446376*b338 =L= 3.04984759446376;

e371..    x259 + 3.04984759446376*b339 =L= 3.04984759446376;

e372..    x292 - 1.04900943706034*b338 =L= 0;

e373..    x293 - 1.04900943706034*b339 =L= 0;

e374..    x294 + 1.04900943706034*b338 =L= 1.04900943706034;

e375..    x295 + 1.04900943706034*b339 =L= 1.04900943706034;

e376.. (x296/(1e-6 + b340) - 0.8*log(1 + x260/(1e-6 + b340)))*(1e-6 + b340)
        =L= 0;

e377.. (x297/(1e-6 + b341) - 0.8*log(1 + x261/(1e-6 + b341)))*(1e-6 + b341)
        =L= 0;

e378..    x262 =E= 0;

e379..    x263 =E= 0;

e380..    x298 =E= 0;

e381..    x299 =E= 0;

e382..    x110 - x260 - x262 =E= 0;

e383..    x111 - x261 - x263 =E= 0;

e384..    x128 - x296 - x298 =E= 0;

e385..    x129 - x297 - x299 =E= 0;

e386..    x260 - 3.04984759446376*b340 =L= 0;

e387..    x261 - 3.04984759446376*b341 =L= 0;

e388..    x262 + 3.04984759446376*b340 =L= 3.04984759446376;

e389..    x263 + 3.04984759446376*b341 =L= 3.04984759446376;

e390..    x296 - 1.11894339953103*b340 =L= 0;

e391..    x297 - 1.11894339953103*b341 =L= 0;

e392..    x298 + 1.11894339953103*b340 =L= 1.11894339953103;

e393..    x299 + 1.11894339953103*b341 =L= 1.11894339953103;

e394.. (x300/(1e-6 + b342) - 0.85*log(1 + x264/(1e-6 + b342)))*(1e-6 + b342)
        =L= 0;

e395.. (x301/(1e-6 + b343) - 0.85*log(1 + x265/(1e-6 + b343)))*(1e-6 + b343)
        =L= 0;

e396..    x266 =E= 0;

e397..    x267 =E= 0;

e398..    x302 =E= 0;

e399..    x303 =E= 0;

e400..    x112 - x264 - x266 =E= 0;

e401..    x113 - x265 - x267 =E= 0;

e402..    x130 - x300 - x302 =E= 0;

e403..    x131 - x301 - x303 =E= 0;

e404..    x264 - 3.04984759446376*b342 =L= 0;

e405..    x265 - 3.04984759446376*b343 =L= 0;

e406..    x266 + 3.04984759446376*b342 =L= 3.04984759446376;

e407..    x267 + 3.04984759446376*b343 =L= 3.04984759446376;

e408..    x300 - 1.18887736200171*b342 =L= 0;

e409..    x301 - 1.18887736200171*b343 =L= 0;

e410..    x302 + 1.18887736200171*b342 =L= 1.18887736200171;

e411..    x303 + 1.18887736200171*b343 =L= 1.18887736200171;

e412..    x2 + 5*b344 =E= 0;

e413..    x3 + 4*b345 =E= 0;

e414..    x4 + 8*b346 =E= 0;

e415..    x5 + 7*b347 =E= 0;

e416..    x6 + 6*b348 =E= 0;

e417..    x7 + 9*b349 =E= 0;

e418..    x8 + 10*b350 =E= 0;

e419..    x9 + 9*b351 =E= 0;

e420..    x10 + 6*b352 =E= 0;

e421..    x11 + 10*b353 =E= 0;

e422..    x12 + 7*b354 =E= 0;

e423..    x13 + 7*b355 =E= 0;

e424..    x14 + 4*b356 =E= 0;

e425..    x15 + 3*b357 =E= 0;

e426..    x16 + 5*b358 =E= 0;

e427..    x17 + 6*b359 =E= 0;

e428..    x18 + 2*b360 =E= 0;

e429..    x19 + 5*b361 =E= 0;

e430..    x20 + 4*b362 =E= 0;

e431..    x21 + 7*b363 =E= 0;

e432..    x22 + 3*b364 =E= 0;

e433..    x23 + 9*b365 =E= 0;

e434..    x24 + 7*b366 =E= 0;

e435..    x25 + 2*b367 =E= 0;

e436..    x26 + 3*b368 =E= 0;

e437..    x27 + b369 =E= 0;

e438..    x28 + 2*b370 =E= 0;

e439..    x29 + 6*b371 =E= 0;

e440..    x30 + 4*b372 =E= 0;

e441..    x31 + 8*b373 =E= 0;

e442..    x32 + 2*b374 =E= 0;

e443..    x33 + 5*b375 =E= 0;

e444..    x34 + 3*b376 =E= 0;

e445..    x35 + 4*b377 =E= 0;

e446..    x36 + 5*b378 =E= 0;

e447..    x37 + 7*b379 =E= 0;

e448..    x38 + 2*b380 =E= 0;

e449..    x39 + 8*b381 =E= 0;

e450..    x40 + b382 =E= 0;

e451..    x41 + 4*b383 =E= 0;

e452..    b304 - b305 =L= 0;

e453..    b306 - b307 =L= 0;

e454..    b308 - b309 =L= 0;

e455..    b310 - b311 =L= 0;

e456..    b312 - b313 =L= 0;

e457..    b314 - b315 =L= 0;

e458..    b316 - b317 =L= 0;

e459..    b318 - b319 =L= 0;

e460..    b320 - b321 =L= 0;

e461..    b322 - b323 =L= 0;

e462..    b324 - b325 =L= 0;

e463..    b326 - b327 =L= 0;

e464..    b328 - b329 =L= 0;

e465..    b330 - b331 =L= 0;

e466..    b332 - b333 =L= 0;

e467..    b334 - b335 =L= 0;

e468..    b336 - b337 =L= 0;

e469..    b338 - b339 =L= 0;

e470..    b340 - b341 =L= 0;

e471..    b342 - b343 =L= 0;

e472..    b344 + b345 =L= 1;

e473..    b344 + b345 =L= 1;

e474..    b346 + b347 =L= 1;

e475..    b346 + b347 =L= 1;

e476..    b348 + b349 =L= 1;

e477..    b348 + b349 =L= 1;

e478..    b350 + b351 =L= 1;

e479..    b350 + b351 =L= 1;

e480..    b352 + b353 =L= 1;

e481..    b352 + b353 =L= 1;

e482..    b354 + b355 =L= 1;

e483..    b354 + b355 =L= 1;

e484..    b356 + b357 =L= 1;

e485..    b356 + b357 =L= 1;

e486..    b358 + b359 =L= 1;

e487..    b358 + b359 =L= 1;

e488..    b360 + b361 =L= 1;

e489..    b360 + b361 =L= 1;

e490..    b362 + b363 =L= 1;

e491..    b362 + b363 =L= 1;

e492..    b364 + b365 =L= 1;

e493..    b364 + b365 =L= 1;

e494..    b366 + b367 =L= 1;

e495..    b366 + b367 =L= 1;

e496..    b368 + b369 =L= 1;

e497..    b368 + b369 =L= 1;

e498..    b370 + b371 =L= 1;

e499..    b370 + b371 =L= 1;

e500..    b372 + b373 =L= 1;

e501..    b372 + b373 =L= 1;

e502..    b374 + b375 =L= 1;

e503..    b374 + b375 =L= 1;

e504..    b376 + b377 =L= 1;

e505..    b376 + b377 =L= 1;

e506..    b378 + b379 =L= 1;

e507..    b378 + b379 =L= 1;

e508..    b380 + b381 =L= 1;

e509..    b380 + b381 =L= 1;

e510..    b382 + b383 =L= 1;

e511..    b382 + b383 =L= 1;

e512..    b304 - b344 =L= 0;

e513..  - b304 + b305 - b345 =L= 0;

e514..    b306 - b346 =L= 0;

e515..  - b306 + b307 - b347 =L= 0;

e516..    b308 - b348 =L= 0;

e517..  - b308 + b309 - b349 =L= 0;

e518..    b310 - b350 =L= 0;

e519..  - b310 + b311 - b351 =L= 0;

e520..    b312 - b352 =L= 0;

e521..  - b312 + b313 - b353 =L= 0;

e522..    b314 - b354 =L= 0;

e523..  - b314 + b315 - b355 =L= 0;

e524..    b316 - b356 =L= 0;

e525..  - b316 + b317 - b357 =L= 0;

e526..    b318 - b358 =L= 0;

e527..  - b318 + b319 - b359 =L= 0;

e528..    b320 - b360 =L= 0;

e529..  - b320 + b321 - b361 =L= 0;

e530..    b322 - b362 =L= 0;

e531..  - b322 + b323 - b363 =L= 0;

e532..    b324 - b364 =L= 0;

e533..  - b324 + b325 - b365 =L= 0;

e534..    b326 - b366 =L= 0;

e535..  - b326 + b327 - b367 =L= 0;

e536..    b328 - b368 =L= 0;

e537..  - b328 + b329 - b369 =L= 0;

e538..    b330 - b370 =L= 0;

e539..  - b330 + b331 - b371 =L= 0;

e540..    b332 - b372 =L= 0;

e541..  - b332 + b333 - b373 =L= 0;

e542..    b334 - b374 =L= 0;

e543..  - b334 + b335 - b375 =L= 0;

e544..    b336 - b376 =L= 0;

e545..  - b336 + b337 - b377 =L= 0;

e546..    b338 - b378 =L= 0;

e547..  - b338 + b339 - b379 =L= 0;

e548..    b340 - b380 =L= 0;

e549..  - b340 + b341 - b381 =L= 0;

e550..    b342 - b382 =L= 0;

e551..  - b342 + b343 - b383 =L= 0;

e552..    b304 + b306 =E= 1;

e553..    b305 + b307 =E= 1;

e554..  - b308 + b314 + b316 =G= 0;

e555..  - b309 + b315 + b317 =G= 0;

e556..  - b314 + b326 =G= 0;

e557..  - b315 + b327 =G= 0;

e558..  - b316 + b328 =G= 0;

e559..  - b317 + b329 =G= 0;

e560..  - b310 + b318 =G= 0;

e561..  - b311 + b319 =G= 0;

e562..  - b318 + b330 + b332 =G= 0;

e563..  - b319 + b331 + b333 =G= 0;

e564..  - b312 + b320 + b322 + b324 =G= 0;

e565..  - b313 + b321 + b323 + b325 =G= 0;

e566..  - b320 + b332 =G= 0;

e567..  - b321 + b333 =G= 0;

e568..  - b322 + b334 + b336 =G= 0;

e569..  - b323 + b335 + b337 =G= 0;

e570..  - b324 + b338 + b340 + b342 =G= 0;

e571..  - b325 + b339 + b341 + b343 =G= 0;

e572..    b304 + b306 - b308 =G= 0;

e573..    b305 + b307 - b309 =G= 0;

e574..    b304 + b306 - b310 =G= 0;

e575..    b305 + b307 - b311 =G= 0;

e576..    b304 + b306 - b312 =G= 0;

e577..    b305 + b307 - b313 =G= 0;

e578..    b308 - b314 =G= 0;

e579..    b309 - b315 =G= 0;

e580..    b308 - b316 =G= 0;

e581..    b309 - b317 =G= 0;

e582..    b310 - b318 =G= 0;

e583..    b311 - b319 =G= 0;

e584..    b312 - b320 =G= 0;

e585..    b313 - b321 =G= 0;

e586..    b312 - b322 =G= 0;

e587..    b313 - b323 =G= 0;

e588..    b312 - b324 =G= 0;

e589..    b313 - b325 =G= 0;

e590..    b314 - b326 =G= 0;

e591..    b315 - b327 =G= 0;

e592..    b316 - b328 =G= 0;

e593..    b317 - b329 =G= 0;

e594..    b318 - b330 =G= 0;

e595..    b319 - b331 =G= 0;

e596..    b318 - b332 =G= 0;

e597..    b319 - b333 =G= 0;

e598..    b322 - b334 =G= 0;

e599..    b323 - b335 =G= 0;

e600..    b322 - b336 =G= 0;

e601..    b323 - b337 =G= 0;

e602..    b324 - b338 =G= 0;

e603..    b325 - b339 =G= 0;

e604..    b324 - b340 =G= 0;

e605..    b325 - b341 =G= 0;

e606..    b324 - b342 =G= 0;

e607..    b325 - b343 =G= 0;

* set non-default bounds
x42.up = 40;
x43.up = 40;
x64.up = 30;
x65.up = 30;
x98.up = 20;
x99.up = 20;
x100.up = 20;
x101.up = 20;

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% maximizing objvar;


Last updated: 2022-04-26 Git hash: de668763
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