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Instance multiplants_stg1c

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
148.06016460 p1 ( gdx sol )
(infeas: 1e-11)
708.44033480 p2 ( gdx sol )
(infeas: 1e-10)
Other points (infeas > 1e-08)  
Dual Bounds
708.44033550 (ANTIGONE)
1404.94944300 (BARON)
17072.35633000 (COUENNE)
16153.36356000 (LINDO)
7108.54982600 (SCIP)
60992.40000000 (SHOT)
References Castro, Pedro M and Novais, Augusto Q, Periodic Scheduling of Continuous Multiproduct Plants, 2009.
Source STG_EX1c.gms from minlp.org model 34
Application Periodic Scheduling of Continuous Multiproduct Plants
Added to library 24 Sep 2013
Problem type MBNLP
#Variables 477
#Binary Variables 252
#Integer Variables 0
#Nonlinear Variables 33
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 270
#Linear Constraints 248
#Quadratic Constraints 1
#Polynomial Constraints 0
#Signomial Constraints 21
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1909
#Nonlinear Nonzeros in Jacobian 111
#Nonzeros in (Upper-Left) Hessian of Lagrangian 197
#Nonzeros in Diagonal of Hessian of Lagrangian 1
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 33
Maximal blocksize in Hessian of Lagrangian 33
Average blocksize in Hessian of Lagrangian 33.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 8.3333e-04
Maximal coefficient 7.2000e+05
Infeasibility of initial point 5e+04
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
*        270      132       31      107        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        477      225      252        0        0        0        0        0
*  FX     85
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1909     1798      111        0
*
*  Solve m using MINLP maximizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,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,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,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
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,objvar;

Positive Variables  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,x421,x422,x423,x424,x425
          ,x426,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438
          ,x439,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451
          ,x452,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464
          ,x465,x467,x468,x469,x470,x471,x472,x473,x474,x475;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,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,b198,b199,b200,b201,b202,b203,b204,b205
          ,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218
          ,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231
          ,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244
          ,b245,b246,b247,b248,b249,b250,b251,b252;

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;


e1.. objvar*x476 + (0.00203*x428 + 0.00203*x429)*(x467 - x466) + (0.00203*x429
      + 0.00203*x430)*(x468 - x467) + (0.00203*x430 + 0.00203*x431)*(x469 - 
     x468) + (0.00203*x431 + 0.00203*x432)*(x470 - x469) + (0.00203*x432 + 
     0.00203*x433)*(x471 - x470) + (0.00203*x433 + 0.00203*x434)*(x472 - x471)
      + (0.00203*x428 + 0.00203*x434)*(x476 - x472) + (0.00203*x442 + 0.00203*
     x443)*(x467 - x466) + (0.00203*x443 + 0.00203*x444)*(x468 - x467) + (
     0.00203*x444 + 0.00203*x445)*(x469 - x468) + (0.00203*x445 + 0.00203*x446)
     *(x470 - x469) + (0.00203*x446 + 0.00203*x447)*(x471 - x470) + (0.00203*
     x447 + 0.00203*x448)*(x472 - x471) + (0.00203*x442 + 0.00203*x448)*(x476
      - x472) + (0.00203*x456 + 0.00203*x457)*(x467 - x466) + (0.00203*x457 + 
     0.00203*x458)*(x468 - x467) + (0.00203*x458 + 0.00203*x459)*(x469 - x468)
      + (0.00203*x459 + 0.00203*x460)*(x470 - x469) + (0.00203*x460 + 0.00203*
     x461)*(x471 - x470) + (0.00203*x461 + 0.00203*x462)*(x472 - x471) + (
     0.00203*x456 + 0.00203*x462)*(x476 - x472) + 3800*b85 + 3800*b86
      + 3800*b87 + 3800*b88 + 3800*b89 + 3800*b90 + 3800*b91 + 6080*b92
      + 6080*b93 + 6080*b94 + 6080*b95 + 6080*b96 + 6080*b97 + 6080*b98
      + 7500*b99 + 7500*b100 + 7500*b101 + 7500*b102 + 7500*b103 + 7500*b104
      + 7500*b105 + 2250*b106 + 2250*b107 + 2250*b108 + 2250*b109 + 2250*b110
      + 2250*b111 + 2250*b112 + 3080*b113 + 3080*b114 + 3080*b115 + 3080*b116
      + 3080*b117 + 3080*b118 + 3080*b119 + 5390*b120 + 5390*b121 + 5390*b122
      + 5390*b123 + 5390*b124 + 5390*b125 + 5390*b126 + 6840*b127 + 6840*b128
      + 6840*b129 + 6840*b130 + 6840*b131 + 6840*b132 + 6840*b133 + 8360*b134
      + 8360*b135 + 8360*b136 + 8360*b137 + 8360*b138 + 8360*b139 + 8360*b140
      + 3750*b141 + 3750*b142 + 3750*b143 + 3750*b144 + 3750*b145 + 3750*b146
      + 3750*b147 + 5250*b148 + 5250*b149 + 5250*b150 + 5250*b151 + 5250*b152
      + 5250*b153 + 5250*b154 + 4620*b155 + 4620*b156 + 4620*b157 + 4620*b158
      + 4620*b159 + 4620*b160 + 4620*b161 + 3080*b162 + 3080*b163 + 3080*b164
      + 3080*b165 + 3080*b166 + 3080*b167 + 3080*b168 + 8360*b169 + 8360*b170
      + 8360*b171 + 8360*b172 + 8360*b173 + 8360*b174 + 8360*b175 + 760*b176
      + 760*b177 + 760*b178 + 760*b179 + 760*b180 + 760*b181 + 760*b182
      + 1500*b183 + 1500*b184 + 1500*b185 + 1500*b186 + 1500*b187 + 1500*b188
      + 1500*b189 + 3750*b190 + 3750*b191 + 3750*b192 + 3750*b193 + 3750*b194
      + 3750*b195 + 3750*b196 + 4620*b197 + 4620*b198 + 4620*b199 + 4620*b200
      + 4620*b201 + 4620*b202 + 4620*b203 + 770*b204 + 770*b205 + 770*b206
      + 770*b207 + 770*b208 + 770*b209 + 770*b210 + 6840*b211 + 6840*b212
      + 6840*b213 + 6840*b214 + 6840*b215 + 6840*b216 + 6840*b217 + 8360*b218
      + 8360*b219 + 8360*b220 + 8360*b221 + 8360*b222 + 8360*b223 + 8360*b224
      + 3750*b225 + 3750*b226 + 3750*b227 + 3750*b228 + 3750*b229 + 3750*b230
      + 3750*b231 + 5250*b232 + 5250*b233 + 5250*b234 + 5250*b235 + 5250*b236
      + 5250*b237 + 5250*b238 + 4620*b239 + 4620*b240 + 4620*b241 + 4620*b242
      + 4620*b243 + 4620*b244 + 4620*b245 + 3080*b246 + 3080*b247 + 3080*b248
      + 3080*b249 + 3080*b250 + 3080*b251 + 3080*b252 - 0.15*x463 - 0.4*x464
      - 0.65*x465 + 0.1406*x473 + 0.1406*x474 + 0.1406*x475 =E= 0;

e2..    b1 - b7 + b85 + b92 - b105 - b119 + x337 - x343 =E= 0;

e3..  - b1 + b2 + b86 + b93 - b99 - b113 - x337 + x338 =E= 0;

e4..  - b2 + b3 + b87 + b94 - b100 - b114 - x338 + x339 =E= 0;

e5..  - b3 + b4 + b88 + b95 - b101 - b115 - x339 + x340 =E= 0;

e6..  - b4 + b5 + b89 + b96 - b102 - b116 - x340 + x341 =E= 0;

e7..  - b5 + b6 + b90 + b97 - b103 - b117 - x341 + x342 =E= 0;

e8..  - b6 + b7 + b91 + b98 - b104 - b118 - x342 + x343 =E= 0;

e9..    b29 - b35 - b91 + b99 + b106 - b126 + x344 - x350 =E= 0;

e10..  - b29 + b30 - b85 + b100 + b107 - b120 - x344 + x345 =E= 0;

e11..  - b30 + b31 - b86 + b101 + b108 - b121 - x345 + x346 =E= 0;

e12..  - b31 + b32 - b87 + b102 + b109 - b122 - x346 + x347 =E= 0;

e13..  - b32 + b33 - b88 + b103 + b110 - b123 - x347 + x348 =E= 0;

e14..  - b33 + b34 - b89 + b104 + b111 - b124 - x348 + x349 =E= 0;

e15..  - b34 + b35 - b90 + b105 + b112 - b125 - x349 + x350 =E= 0;

e16..    b57 - b63 - b98 - b112 + b113 + b120 + x351 - x357 =E= 0;

e17..  - b57 + b58 - b92 - b106 + b114 + b121 - x351 + x352 =E= 0;

e18..  - b58 + b59 - b93 - b107 + b115 + b122 - x352 + x353 =E= 0;

e19..  - b59 + b60 - b94 - b108 + b116 + b123 - x353 + x354 =E= 0;

e20..  - b60 + b61 - b95 - b109 + b117 + b124 - x354 + x355 =E= 0;

e21..  - b61 + b62 - b96 - b110 + b118 + b125 - x355 + x356 =E= 0;

e22..  - b62 + b63 - b97 - b111 + b119 + b126 - x356 + x357 =E= 0;

e23..    b8 - b14 + b127 + b134 - b147 - b161 + x358 - x364 =E= 0;

e24..  - b8 + b9 + b128 + b135 - b141 - b155 - x358 + x359 =E= 0;

e25..  - b9 + b10 + b129 + b136 - b142 - b156 - x359 + x360 =E= 0;

e26..  - b10 + b11 + b130 + b137 - b143 - b157 - x360 + x361 =E= 0;

e27..  - b11 + b12 + b131 + b138 - b144 - b158 - x361 + x362 =E= 0;

e28..  - b12 + b13 + b132 + b139 - b145 - b159 - x362 + x363 =E= 0;

e29..  - b13 + b14 + b133 + b140 - b146 - b160 - x363 + x364 =E= 0;

e30..    b36 - b42 - b133 + b141 + b148 - b168 + x365 - x371 =E= 0;

e31..  - b36 + b37 - b127 + b142 + b149 - b162 - x365 + x366 =E= 0;

e32..  - b37 + b38 - b128 + b143 + b150 - b163 - x366 + x367 =E= 0;

e33..  - b38 + b39 - b129 + b144 + b151 - b164 - x367 + x368 =E= 0;

e34..  - b39 + b40 - b130 + b145 + b152 - b165 - x368 + x369 =E= 0;

e35..  - b40 + b41 - b131 + b146 + b153 - b166 - x369 + x370 =E= 0;

e36..  - b41 + b42 - b132 + b147 + b154 - b167 - x370 + x371 =E= 0;

e37..    b64 - b70 - b140 - b154 + b155 + b162 + x372 - x378 =E= 0;

e38..  - b64 + b65 - b134 - b148 + b156 + b163 - x372 + x373 =E= 0;

e39..  - b65 + b66 - b135 - b149 + b157 + b164 - x373 + x374 =E= 0;

e40..  - b66 + b67 - b136 - b150 + b158 + b165 - x374 + x375 =E= 0;

e41..  - b67 + b68 - b137 - b151 + b159 + b166 - x375 + x376 =E= 0;

e42..  - b68 + b69 - b138 - b152 + b160 + b167 - x376 + x377 =E= 0;

e43..  - b69 + b70 - b139 - b153 + b161 + b168 - x377 + x378 =E= 0;

e44..    b15 - b21 + b169 + b176 - b189 - b203 + x379 - x385 =E= 0;

e45..  - b15 + b16 + b170 + b177 - b183 - b197 - x379 + x380 =E= 0;

e46..  - b16 + b17 + b171 + b178 - b184 - b198 - x380 + x381 =E= 0;

e47..  - b17 + b18 + b172 + b179 - b185 - b199 - x381 + x382 =E= 0;

e48..  - b18 + b19 + b173 + b180 - b186 - b200 - x382 + x383 =E= 0;

e49..  - b19 + b20 + b174 + b181 - b187 - b201 - x383 + x384 =E= 0;

e50..  - b20 + b21 + b175 + b182 - b188 - b202 - x384 + x385 =E= 0;

e51..    b43 - b49 - b175 + b183 + b190 - b210 + x386 - x392 =E= 0;

e52..  - b43 + b44 - b169 + b184 + b191 - b204 - x386 + x387 =E= 0;

e53..  - b44 + b45 - b170 + b185 + b192 - b205 - x387 + x388 =E= 0;

e54..  - b45 + b46 - b171 + b186 + b193 - b206 - x388 + x389 =E= 0;

e55..  - b46 + b47 - b172 + b187 + b194 - b207 - x389 + x390 =E= 0;

e56..  - b47 + b48 - b173 + b188 + b195 - b208 - x390 + x391 =E= 0;

e57..  - b48 + b49 - b174 + b189 + b196 - b209 - x391 + x392 =E= 0;

e58..    b71 - b77 - b182 - b196 + b197 + b204 + x393 - x399 =E= 0;

e59..  - b71 + b72 - b176 - b190 + b198 + b205 - x393 + x394 =E= 0;

e60..  - b72 + b73 - b177 - b191 + b199 + b206 - x394 + x395 =E= 0;

e61..  - b73 + b74 - b178 - b192 + b200 + b207 - x395 + x396 =E= 0;

e62..  - b74 + b75 - b179 - b193 + b201 + b208 - x396 + x397 =E= 0;

e63..  - b75 + b76 - b180 - b194 + b202 + b209 - x397 + x398 =E= 0;

e64..  - b76 + b77 - b181 - b195 + b203 + b210 - x398 + x399 =E= 0;

e65..    b22 - b28 + b211 + b218 - b231 - b245 + x400 - x406 =E= 0;

e66..  - b22 + b23 + b212 + b219 - b225 - b239 - x400 + x401 =E= 0;

e67..  - b23 + b24 + b213 + b220 - b226 - b240 - x401 + x402 =E= 0;

e68..  - b24 + b25 + b214 + b221 - b227 - b241 - x402 + x403 =E= 0;

e69..  - b25 + b26 + b215 + b222 - b228 - b242 - x403 + x404 =E= 0;

e70..  - b26 + b27 + b216 + b223 - b229 - b243 - x404 + x405 =E= 0;

e71..  - b27 + b28 + b217 + b224 - b230 - b244 - x405 + x406 =E= 0;

e72..    b50 - b56 - b217 + b225 + b232 - b252 + x407 - x413 =E= 0;

e73..  - b50 + b51 - b211 + b226 + b233 - b246 - x407 + x408 =E= 0;

e74..  - b51 + b52 - b212 + b227 + b234 - b247 - x408 + x409 =E= 0;

e75..  - b52 + b53 - b213 + b228 + b235 - b248 - x409 + x410 =E= 0;

e76..  - b53 + b54 - b214 + b229 + b236 - b249 - x410 + x411 =E= 0;

e77..  - b54 + b55 - b215 + b230 + b237 - b250 - x411 + x412 =E= 0;

e78..  - b55 + b56 - b216 + b231 + b238 - b251 - x412 + x413 =E= 0;

e79..    b78 - b84 - b224 - b238 + b239 + b246 + x414 - x420 =E= 0;

e80..  - b78 + b79 - b218 - b232 + b240 + b247 - x414 + x415 =E= 0;

e81..  - b79 + b80 - b219 - b233 + b241 + b248 - x415 + x416 =E= 0;

e82..  - b80 + b81 - b220 - b234 + b242 + b249 - x416 + x417 =E= 0;

e83..  - b81 + b82 - b221 - b235 + b243 + b250 - x417 + x418 =E= 0;

e84..  - b82 + b83 - b222 - b236 + b244 + b251 - x418 + x419 =E= 0;

e85..  - b83 + b84 - b223 - b237 + b245 + b252 - x419 + x420 =E= 0;

e86..  - x259 - x266 + x273 + x280 + x421 - x427 =E= 0;

e87..  - x253 - x260 + x267 + x274 - x421 + x422 =E= 0;

e88..  - x254 - x261 + x268 + x275 - x422 + x423 =E= 0;

e89..  - x255 - x262 + x269 + x276 - x423 + x424 =E= 0;

e90..  - x256 - x263 + x270 + x277 - x424 + x425 =E= 0;

e91..  - x257 - x264 + x271 + x278 - x425 + x426 =E= 0;

e92..  - x258 - x265 + x272 + x279 - x426 + x427 =E= 0;

e93.. x463/x476*(x476 - x472) - x273 - x280 + x428 - x434 =E= 0;

e94.. x463/x476*(x467 - x466) - x267 - x274 - x428 + x429 =E= 0;

e95.. x463/x476*(x468 - x467) - x268 - x275 - x429 + x430 =E= 0;

e96.. x463/x476*(x469 - x468) - x269 - x276 - x430 + x431 =E= 0;

e97.. x463/x476*(x470 - x469) - x270 - x277 - x431 + x432 =E= 0;

e98.. x463/x476*(x471 - x470) - x271 - x278 - x432 + x433 =E= 0;

e99.. x463/x476*(x472 - x471) - x272 - x279 - x433 + x434 =E= 0;

e100..  - x287 - x294 + x301 + x308 + x435 - x441 =E= 0;

e101..  - x281 - x288 + x295 + x302 - x435 + x436 =E= 0;

e102..  - x282 - x289 + x296 + x303 - x436 + x437 =E= 0;

e103..  - x283 - x290 + x297 + x304 - x437 + x438 =E= 0;

e104..  - x284 - x291 + x298 + x305 - x438 + x439 =E= 0;

e105..  - x285 - x292 + x299 + x306 - x439 + x440 =E= 0;

e106..  - x286 - x293 + x300 + x307 - x440 + x441 =E= 0;

e107.. x464/x476*(x476 - x472) - x301 - x308 + x442 - x448 =E= 0;

e108.. x464/x476*(x467 - x466) - x295 - x302 - x442 + x443 =E= 0;

e109.. x464/x476*(x468 - x467) - x296 - x303 - x443 + x444 =E= 0;

e110.. x464/x476*(x469 - x468) - x297 - x304 - x444 + x445 =E= 0;

e111.. x464/x476*(x470 - x469) - x298 - x305 - x445 + x446 =E= 0;

e112.. x464/x476*(x471 - x470) - x299 - x306 - x446 + x447 =E= 0;

e113.. x464/x476*(x472 - x471) - x300 - x307 - x447 + x448 =E= 0;

e114..  - x315 - x322 + x329 + x336 + x449 - x455 =E= 0;

e115..  - x309 - x316 + x323 + x330 - x449 + x450 =E= 0;

e116..  - x310 - x317 + x324 + x331 - x450 + x451 =E= 0;

e117..  - x311 - x318 + x325 + x332 - x451 + x452 =E= 0;

e118..  - x312 - x319 + x326 + x333 - x452 + x453 =E= 0;

e119..  - x313 - x320 + x327 + x334 - x453 + x454 =E= 0;

e120..  - x314 - x321 + x328 + x335 - x454 + x455 =E= 0;

e121.. x465/x476*(x476 - x472) - x329 - x336 + x456 - x462 =E= 0;

e122.. x465/x476*(x467 - x466) - x323 - x330 - x456 + x457 =E= 0;

e123.. x465/x476*(x468 - x467) - x324 - x331 - x457 + x458 =E= 0;

e124.. x465/x476*(x469 - x468) - x325 - x332 - x458 + x459 =E= 0;

e125.. x465/x476*(x470 - x469) - x326 - x333 - x459 + x460 =E= 0;

e126.. x465/x476*(x471 - x470) - x327 - x334 - x460 + x461 =E= 0;

e127.. x465/x476*(x472 - x471) - x328 - x335 - x461 + x462 =E= 0;

e128..    b1 + b29 + b57 + b85 + b92 + b99 + b106 + b113 + b120 + x337 + x344
        + x351 =E= 1;

e129..    b8 + b36 + b64 + b127 + b134 + b141 + b148 + b155 + b162 + x358
        + x365 + x372 =E= 1;

e130..    b15 + b43 + b71 + b169 + b176 + b183 + b190 + b197 + b204 + x379
        + x386 + x393 =E= 1;

e131..    b22 + b50 + b78 + b211 + b218 + b225 + b232 + b239 + b246 + x400
        + x407 + x414 =E= 1;

e132..  - 5*b85 - 8*b92 - 10*b99 - 3*b106 - 4*b113 - 7*b120 - 0.00125*x253
        - 0.000833333333333333*x281 - 0.001*x309 - x466 + x467 =G= 0;

e133..  - 5*b86 - 8*b93 - 10*b100 - 3*b107 - 4*b114 - 7*b121 - 0.00125*x254
        - 0.000833333333333333*x282 - 0.001*x310 - x467 + x468 =G= 0;

e134..  - 5*b87 - 8*b94 - 10*b101 - 3*b108 - 4*b115 - 7*b122 - 0.00125*x255
        - 0.000833333333333333*x283 - 0.001*x311 - x468 + x469 =G= 0;

e135..  - 5*b88 - 8*b95 - 10*b102 - 3*b109 - 4*b116 - 7*b123 - 0.00125*x256
        - 0.000833333333333333*x284 - 0.001*x312 - x469 + x470 =G= 0;

e136..  - 5*b89 - 8*b96 - 10*b103 - 3*b110 - 4*b117 - 7*b124 - 0.00125*x257
        - 0.000833333333333333*x285 - 0.001*x313 - x470 + x471 =G= 0;

e137..  - 5*b90 - 8*b97 - 10*b104 - 3*b111 - 4*b118 - 7*b125 - 0.00125*x258
        - 0.000833333333333333*x286 - 0.001*x314 - x471 + x472 =G= 0;

e138..  - 5*b91 - 8*b98 - 10*b105 - 3*b112 - 4*b119 - 7*b126 - 0.00125*x259
        - 0.000833333333333333*x287 - 0.001*x315 - x472 + x476 =G= 0;

e139..  - 9*b127 - 11*b134 - 5*b141 - 7*b148 - 6*b155 - 4*b162 - 0.0025*x260
        - 0.002*x288 - 0.00222222222222222*x316 - x466 + x467 =G= 0;

e140..  - 9*b128 - 11*b135 - 5*b142 - 7*b149 - 6*b156 - 4*b163 - 0.0025*x261
        - 0.002*x289 - 0.00222222222222222*x317 - x467 + x468 =G= 0;

e141..  - 9*b129 - 11*b136 - 5*b143 - 7*b150 - 6*b157 - 4*b164 - 0.0025*x262
        - 0.002*x290 - 0.00222222222222222*x318 - x468 + x469 =G= 0;

e142..  - 9*b130 - 11*b137 - 5*b144 - 7*b151 - 6*b158 - 4*b165 - 0.0025*x263
        - 0.002*x291 - 0.00222222222222222*x319 - x469 + x470 =G= 0;

e143..  - 9*b131 - 11*b138 - 5*b145 - 7*b152 - 6*b159 - 4*b166 - 0.0025*x264
        - 0.002*x292 - 0.00222222222222222*x320 - x470 + x471 =G= 0;

e144..  - 9*b132 - 11*b139 - 5*b146 - 7*b153 - 6*b160 - 4*b167 - 0.0025*x265
        - 0.002*x293 - 0.00222222222222222*x321 - x471 + x472 =G= 0;

e145..  - 9*b133 - 11*b140 - 5*b147 - 7*b154 - 6*b161 - 4*b168 - 0.0025*x266
        - 0.002*x294 - 0.00222222222222222*x322 - x472 + x476 =G= 0;

e146..  - 11*b169 - b176 - 2*b183 - 5*b190 - 6*b197 - b204
        - 0.00111111111111111*x267 - 0.00166666666666667*x295
        - 0.000909090909090909*x323 - x466 + x467 =G= 0;

e147..  - 11*b170 - b177 - 2*b184 - 5*b191 - 6*b198 - b205
        - 0.00111111111111111*x268 - 0.00166666666666667*x296
        - 0.000909090909090909*x324 - x467 + x468 =G= 0;

e148..  - 11*b171 - b178 - 2*b185 - 5*b192 - 6*b199 - b206
        - 0.00111111111111111*x269 - 0.00166666666666667*x297
        - 0.000909090909090909*x325 - x468 + x469 =G= 0;

e149..  - 11*b172 - b179 - 2*b186 - 5*b193 - 6*b200 - b207
        - 0.00111111111111111*x270 - 0.00166666666666667*x298
        - 0.000909090909090909*x326 - x469 + x470 =G= 0;

e150..  - 11*b173 - b180 - 2*b187 - 5*b194 - 6*b201 - b208
        - 0.00111111111111111*x271 - 0.00166666666666667*x299
        - 0.000909090909090909*x327 - x470 + x471 =G= 0;

e151..  - 11*b174 - b181 - 2*b188 - 5*b195 - 6*b202 - b209
        - 0.00111111111111111*x272 - 0.00166666666666667*x300
        - 0.000909090909090909*x328 - x471 + x472 =G= 0;

e152..  - 11*b175 - b182 - 2*b189 - 5*b196 - 6*b203 - b210
        - 0.00111111111111111*x273 - 0.00166666666666667*x301
        - 0.000909090909090909*x329 - x472 + x476 =G= 0;

e153..  - 9*b211 - 11*b218 - 5*b225 - 7*b232 - 6*b239 - 4*b246 - 0.0025*x274
        - 0.002*x302 - 0.00222222222222222*x330 - x466 + x467 =G= 0;

e154..  - 9*b212 - 11*b219 - 5*b226 - 7*b233 - 6*b240 - 4*b247 - 0.0025*x275
        - 0.002*x303 - 0.00222222222222222*x331 - x467 + x468 =G= 0;

e155..  - 9*b213 - 11*b220 - 5*b227 - 7*b234 - 6*b241 - 4*b248 - 0.0025*x276
        - 0.002*x304 - 0.00222222222222222*x332 - x468 + x469 =G= 0;

e156..  - 9*b214 - 11*b221 - 5*b228 - 7*b235 - 6*b242 - 4*b249 - 0.0025*x277
        - 0.002*x305 - 0.00222222222222222*x333 - x469 + x470 =G= 0;

e157..  - 9*b215 - 11*b222 - 5*b229 - 7*b236 - 6*b243 - 4*b250 - 0.0025*x278
        - 0.002*x306 - 0.00222222222222222*x334 - x470 + x471 =G= 0;

e158..  - 9*b216 - 11*b223 - 5*b230 - 7*b237 - 6*b244 - 4*b251 - 0.0025*x279
        - 0.002*x307 - 0.00222222222222222*x335 - x471 + x472 =G= 0;

e159..  - 9*b217 - 11*b224 - 5*b231 - 7*b238 - 6*b245 - 4*b252 - 0.0025*x280
        - 0.002*x308 - 0.00222222222222222*x336 - x472 + x476 =G= 0;

e160..  - 480000*b1 + x253 =L= 0;

e161..  - 480000*b2 + x254 =L= 0;

e162..  - 480000*b3 + x255 =L= 0;

e163..  - 480000*b4 + x256 =L= 0;

e164..  - 480000*b5 + x257 =L= 0;

e165..  - 480000*b6 + x258 =L= 0;

e166..  - 480000*b7 + x259 =L= 0;

e167..  - 240000*b8 + x260 =L= 0;

e168..  - 240000*b9 + x261 =L= 0;

e169..  - 240000*b10 + x262 =L= 0;

e170..  - 240000*b11 + x263 =L= 0;

e171..  - 240000*b12 + x264 =L= 0;

e172..  - 240000*b13 + x265 =L= 0;

e173..  - 240000*b14 + x266 =L= 0;

e174..  - 540000*b15 + x267 =L= 0;

e175..  - 540000*b16 + x268 =L= 0;

e176..  - 540000*b17 + x269 =L= 0;

e177..  - 540000*b18 + x270 =L= 0;

e178..  - 540000*b19 + x271 =L= 0;

e179..  - 540000*b20 + x272 =L= 0;

e180..  - 540000*b21 + x273 =L= 0;

e181..  - 240000*b22 + x274 =L= 0;

e182..  - 240000*b23 + x275 =L= 0;

e183..  - 240000*b24 + x276 =L= 0;

e184..  - 240000*b25 + x277 =L= 0;

e185..  - 240000*b26 + x278 =L= 0;

e186..  - 240000*b27 + x279 =L= 0;

e187..  - 240000*b28 + x280 =L= 0;

e188..  - 720000*b29 + x281 =L= 0;

e189..  - 720000*b30 + x282 =L= 0;

e190..  - 720000*b31 + x283 =L= 0;

e191..  - 720000*b32 + x284 =L= 0;

e192..  - 720000*b33 + x285 =L= 0;

e193..  - 720000*b34 + x286 =L= 0;

e194..  - 720000*b35 + x287 =L= 0;

e195..  - 300000*b36 + x288 =L= 0;

e196..  - 300000*b37 + x289 =L= 0;

e197..  - 300000*b38 + x290 =L= 0;

e198..  - 300000*b39 + x291 =L= 0;

e199..  - 300000*b40 + x292 =L= 0;

e200..  - 300000*b41 + x293 =L= 0;

e201..  - 300000*b42 + x294 =L= 0;

e202..  - 360000*b43 + x295 =L= 0;

e203..  - 360000*b44 + x296 =L= 0;

e204..  - 360000*b45 + x297 =L= 0;

e205..  - 360000*b46 + x298 =L= 0;

e206..  - 360000*b47 + x299 =L= 0;

e207..  - 360000*b48 + x300 =L= 0;

e208..  - 360000*b49 + x301 =L= 0;

e209..  - 300000*b50 + x302 =L= 0;

e210..  - 300000*b51 + x303 =L= 0;

e211..  - 300000*b52 + x304 =L= 0;

e212..  - 300000*b53 + x305 =L= 0;

e213..  - 300000*b54 + x306 =L= 0;

e214..  - 300000*b55 + x307 =L= 0;

e215..  - 300000*b56 + x308 =L= 0;

e216..  - 600000*b57 + x309 =L= 0;

e217..  - 600000*b58 + x310 =L= 0;

e218..  - 600000*b59 + x311 =L= 0;

e219..  - 600000*b60 + x312 =L= 0;

e220..  - 600000*b61 + x313 =L= 0;

e221..  - 600000*b62 + x314 =L= 0;

e222..  - 600000*b63 + x315 =L= 0;

e223..  - 270000*b64 + x316 =L= 0;

e224..  - 270000*b65 + x317 =L= 0;

e225..  - 270000*b66 + x318 =L= 0;

e226..  - 270000*b67 + x319 =L= 0;

e227..  - 270000*b68 + x320 =L= 0;

e228..  - 270000*b69 + x321 =L= 0;

e229..  - 270000*b70 + x322 =L= 0;

e230..  - 660000*b71 + x323 =L= 0;

e231..  - 660000*b72 + x324 =L= 0;

e232..  - 660000*b73 + x325 =L= 0;

e233..  - 660000*b74 + x326 =L= 0;

e234..  - 660000*b75 + x327 =L= 0;

e235..  - 660000*b76 + x328 =L= 0;

e236..  - 660000*b77 + x329 =L= 0;

e237..  - 270000*b78 + x330 =L= 0;

e238..  - 270000*b79 + x331 =L= 0;

e239..  - 270000*b80 + x332 =L= 0;

e240..  - 270000*b81 + x333 =L= 0;

e241..  - 270000*b82 + x334 =L= 0;

e242..  - 270000*b83 + x335 =L= 0;

e243..  - 270000*b84 + x336 =L= 0;

e244..    x463 - 50*x476 =G= 0;

e245..    x464 - 100*x476 =G= 0;

e246..    x465 - 250*x476 =G= 0;

e247..    x421 - x473 =L= 0;

e248..    x422 - x473 =L= 0;

e249..    x423 - x473 =L= 0;

e250..    x424 - x473 =L= 0;

e251..    x425 - x473 =L= 0;

e252..    x426 - x473 =L= 0;

e253..    x427 - x473 =L= 0;

e254..    x435 - x474 =L= 0;

e255..    x436 - x474 =L= 0;

e256..    x437 - x474 =L= 0;

e257..    x438 - x474 =L= 0;

e258..    x439 - x474 =L= 0;

e259..    x440 - x474 =L= 0;

e260..    x441 - x474 =L= 0;

e261..    x449 - x475 =L= 0;

e262..    x450 - x475 =L= 0;

e263..    x451 - x475 =L= 0;

e264..    x452 - x475 =L= 0;

e265..    x453 - x475 =L= 0;

e266..    x454 - x475 =L= 0;

e267..    x455 - x475 =L= 0;

e268..    b85 + b86 + b87 + b88 + b89 + b90 + b91 + b92 + b93 + b94 + b95 + b96
        + b97 + b98 + b99 + b100 + b101 + b102 + b103 + b104 + b105 + b106
        + b107 + b108 + b109 + 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 =L= 3;

e269..    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 + b198
        + b199 + b200 + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208
        + b209 + b210 + b211 + b212 + b213 + b214 + b215 + b216 + b217 + b218
        + b219 + b220 + b221 + b222 + b223 + b224 + b225 + b226 + b227 + b228
        + b229 + b230 + b231 + b232 + b233 + b234 + b235 + b236 + b237 + b238
        + b239 + b240 + b241 + b242 + b243 + b244 + b245 + b246 + b247 + b248
        + b249 + b250 + b251 + b252 =L= 3;

e270..    b1 + b8 =E= 1;

* set non-default bounds
x253.up = 480000;
x254.up = 480000;
x255.up = 480000;
x256.up = 480000;
x257.up = 480000;
x258.up = 480000;
x259.up = 480000;
x260.up = 240000;
x261.up = 240000;
x262.up = 240000;
x263.up = 240000;
x264.up = 240000;
x265.up = 240000;
x266.up = 240000;
x267.up = 540000;
x268.up = 540000;
x269.up = 540000;
x270.up = 540000;
x271.up = 540000;
x272.up = 540000;
x273.up = 540000;
x274.up = 240000;
x275.up = 240000;
x276.up = 240000;
x277.up = 240000;
x278.up = 240000;
x279.up = 240000;
x280.up = 240000;
x281.up = 720000;
x282.up = 720000;
x283.up = 720000;
x284.up = 720000;
x285.up = 720000;
x286.up = 720000;
x287.up = 720000;
x288.up = 300000;
x289.up = 300000;
x290.up = 300000;
x291.up = 300000;
x292.up = 300000;
x293.up = 300000;
x294.up = 300000;
x295.up = 360000;
x296.up = 360000;
x297.up = 360000;
x298.up = 360000;
x299.up = 360000;
x300.up = 360000;
x301.up = 360000;
x302.up = 300000;
x303.up = 300000;
x304.up = 300000;
x305.up = 300000;
x306.up = 300000;
x307.up = 300000;
x308.up = 300000;
x309.up = 600000;
x310.up = 600000;
x311.up = 600000;
x312.up = 600000;
x313.up = 600000;
x314.up = 600000;
x315.up = 600000;
x316.up = 270000;
x317.up = 270000;
x318.up = 270000;
x319.up = 270000;
x320.up = 270000;
x321.up = 270000;
x322.up = 270000;
x323.up = 660000;
x324.up = 660000;
x325.up = 660000;
x326.up = 660000;
x327.up = 660000;
x328.up = 660000;
x329.up = 660000;
x330.up = 270000;
x331.up = 270000;
x332.up = 270000;
x333.up = 270000;
x334.up = 270000;
x335.up = 270000;
x336.up = 270000;
x337.fx = 0;
x338.fx = 0;
x339.fx = 0;
x340.fx = 0;
x341.fx = 0;
x342.fx = 0;
x343.fx = 0;
x344.fx = 0;
x345.fx = 0;
x346.fx = 0;
x347.fx = 0;
x348.fx = 0;
x349.fx = 0;
x350.fx = 0;
x351.fx = 0;
x352.fx = 0;
x353.fx = 0;
x354.fx = 0;
x355.fx = 0;
x356.fx = 0;
x357.fx = 0;
x358.fx = 0;
x359.fx = 0;
x360.fx = 0;
x361.fx = 0;
x362.fx = 0;
x363.fx = 0;
x364.fx = 0;
x365.fx = 0;
x366.fx = 0;
x367.fx = 0;
x368.fx = 0;
x369.fx = 0;
x370.fx = 0;
x371.fx = 0;
x372.fx = 0;
x373.fx = 0;
x374.fx = 0;
x375.fx = 0;
x376.fx = 0;
x377.fx = 0;
x378.fx = 0;
x379.fx = 0;
x380.fx = 0;
x381.fx = 0;
x382.fx = 0;
x383.fx = 0;
x384.fx = 0;
x385.fx = 0;
x386.fx = 0;
x387.fx = 0;
x388.fx = 0;
x389.fx = 0;
x390.fx = 0;
x391.fx = 0;
x392.fx = 0;
x393.fx = 0;
x394.fx = 0;
x395.fx = 0;
x396.fx = 0;
x397.fx = 0;
x398.fx = 0;
x399.fx = 0;
x400.fx = 0;
x401.fx = 0;
x402.fx = 0;
x403.fx = 0;
x404.fx = 0;
x405.fx = 0;
x406.fx = 0;
x407.fx = 0;
x408.fx = 0;
x409.fx = 0;
x410.fx = 0;
x411.fx = 0;
x412.fx = 0;
x413.fx = 0;
x414.fx = 0;
x415.fx = 0;
x416.fx = 0;
x417.fx = 0;
x418.fx = 0;
x419.fx = 0;
x420.fx = 0;
x421.up = 480000;
x422.up = 480000;
x423.up = 480000;
x424.up = 480000;
x425.up = 480000;
x426.up = 480000;
x427.up = 480000;
x428.up = 540000;
x429.up = 540000;
x430.up = 540000;
x431.up = 540000;
x432.up = 540000;
x433.up = 540000;
x434.up = 540000;
x435.up = 720000;
x436.up = 720000;
x437.up = 720000;
x438.up = 720000;
x439.up = 720000;
x440.up = 720000;
x441.up = 720000;
x442.up = 360000;
x443.up = 360000;
x444.up = 360000;
x445.up = 360000;
x446.up = 360000;
x447.up = 360000;
x448.up = 360000;
x449.up = 600000;
x450.up = 600000;
x451.up = 600000;
x452.up = 600000;
x453.up = 600000;
x454.up = 600000;
x455.up = 600000;
x456.up = 660000;
x457.up = 660000;
x458.up = 660000;
x459.up = 660000;
x460.up = 660000;
x461.up = 660000;
x462.up = 660000;
x463.up = 540000;
x464.up = 720000;
x465.up = 660000;
x466.fx = 0;
x467.up = 600;
x468.up = 600;
x469.up = 600;
x470.up = 600;
x471.up = 600;
x472.up = 600;
x473.up = 480000;
x474.up = 720000;
x475.up = 600000;
x476.lo = 200; x476.up = 600;

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: 2022-05-24 Git hash: 1198c186
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