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Instance waterund36

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
662.80703840 p1 ( gdx sol )
(infeas: 1e-11)
Other points (infeas > 1e-08)  
Dual Bounds
599.79525380 (ANTIGONE)
588.85074690 (BARON)
607.04887890 (COUENNE)
629.69444380 (GUROBI)
607.77605070 (LINDO)
639.09711880 (SCIP)
References Castro, Pedro M and Teles, João P, Comparison of global optimization algorithms for the design of water-using networks, Computers and Chemical Engineering, 52, 2013, 249-261.
Teles, João P, Castro, Pedro M, and Novais, Augusto Q, LP-based solution strategies for the optimal design of industrial water networks with multiple contaminants, Chemical Engineering Science, 63:2, 2008, 376-394.
Teles, João P, Castro, Pedro M, and Matos, Henrique A, Global optimization of water networks design using multiparametric disaggregation, Computers and Chemical Engineering 40, 2012, 132-147.
Source ANTIGONE test library model Other_MIQCQP/teles_etal_2009_WUN_Ex36.gms
Application Water Network Design
Added to library 15 Aug 2014
Problem type QCP
#Variables 324
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 216
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 39
#Nonlinear Nonzeros in Objective 0
#Constraints 239
#Linear Constraints 129
#Quadratic Constraints 110
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2348
#Nonlinear Nonzeros in Jacobian 1395
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1350
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 9
Minimal blocksize in Hessian of Lagrangian 24
Maximal blocksize in Hessian of Lagrangian 24
Average blocksize in Hessian of Lagrangian 24.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 1.0160e+03
Infeasibility of initial point 1.166e+05
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
*        240      117       20      103        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        325      325        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2388      993     1395        0
*
*  Solve m using NLP minimizing 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,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325;

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;


e1..    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 =E= 0;

e2..  - x2 - x15 - x28 + x41 - x67 - x80 - x93 - x106 - x119 - x132 - x145
      - x158 - x171 - x184 - x197 - x210 - x223 =E= 0;

e3..  - x3 - x16 - x29 + x42 - x68 - x81 - x94 - x107 - x120 - x133 - x146
      - x159 - x172 - x185 - x198 - x211 - x224 =E= 0;

e4..  - x4 - x17 - x30 + x43 - x69 - x82 - x95 - x108 - x121 - x134 - x147
      - x160 - x173 - x186 - x199 - x212 - x225 =E= 0;

e5..  - x5 - x18 - x31 + x44 - x70 - x83 - x96 - x109 - x122 - x135 - x148
      - x161 - x174 - x187 - x200 - x213 - x226 =E= 0;

e6..  - x6 - x19 - x32 + x45 - x71 - x84 - x97 - x110 - x123 - x136 - x149
      - x162 - x175 - x188 - x201 - x214 - x227 =E= 0;

e7..  - x7 - x20 - x33 + x46 - x72 - x85 - x98 - x111 - x124 - x137 - x150
      - x163 - x176 - x189 - x202 - x215 - x228 =E= 0;

e8..  - x8 - x21 - x34 + x47 - x73 - x86 - x99 - x112 - x125 - x138 - x151
      - x164 - x177 - x190 - x203 - x216 - x229 =E= 0;

e9..  - x9 - x22 - x35 + x48 - x74 - x87 - x100 - x113 - x126 - x139 - x152
      - x165 - x178 - x191 - x204 - x217 - x230 =E= 0;

e10..  - x10 - x23 - x36 + x49 - x75 - x88 - x101 - x114 - x127 - x140 - x153
       - x166 - x179 - x192 - x205 - x218 - x231 =E= 0;

e11..  - x11 - x24 - x37 - x76 - x89 - x102 - x115 - x128 - x141 - x154 - x167
       - x180 - x193 - x206 - x219 - x232 =E= -115;

e12..  - x12 - x25 - x38 - x77 - x90 - x103 - x116 - x129 - x142 - x155 - x168
       - x181 - x194 - x207 - x220 - x233 =E= -85;

e13..  - x13 - x26 - x39 - x78 - x91 - x104 - x117 - x130 - x143 - x156 - x169
       - x182 - x195 - x208 - x221 - x234 =E= -95;

e14..  - x14 - x27 - x40 - x79 - x92 - x105 - x118 - x131 - x144 - x157 - x170
       - x183 - x196 - x209 - x222 - x235 =E= -80;

e15..    x41 - x54 - x67 - x68 - x69 - x70 - x71 - x72 - x73 - x74 - x75 - x76
       - x77 - x78 - x79 =E= 0;

e16..    x42 - x55 - x80 - x81 - x82 - x83 - x84 - x85 - x86 - x87 - x88 - x89
       - x90 - x91 - x92 =E= 0;

e17..    x43 - x56 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101
       - x102 - x103 - x104 - x105 =E= 0;

e18..    x44 - x57 - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113
       - x114 - x115 - x116 - x117 - x118 =E= 0;

e19..    x45 - x58 - x119 - x120 - x121 - x122 - x123 - x124 - x125 - x126
       - x127 - x128 - x129 - x130 - x131 =E= 0;

e20..    x46 - x59 - x132 - x133 - x134 - x135 - x136 - x137 - x138 - x139
       - x140 - x141 - x142 - x143 - x144 =E= 0;

e21..    x47 - x60 - x145 - x146 - x147 - x148 - x149 - x150 - x151 - x152
       - x153 - x154 - x155 - x156 - x157 =E= 0;

e22..    x48 - x61 - x158 - x159 - x160 - x161 - x162 - x163 - x164 - x165
       - x166 - x167 - x168 - x169 - x170 =E= 0;

e23..    x49 - x62 - x171 - x172 - x173 - x174 - x175 - x176 - x177 - x178
       - x179 - x180 - x181 - x182 - x183 =E= 0;

e24..  - x63 - x184 - x185 - x186 - x187 - x188 - x189 - x190 - x191 - x192
       - x193 - x194 - x195 - x196 =E= -75;

e25..  - x64 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - x205
       - x206 - x207 - x208 - x209 =E= -95;

e26..  - x65 - x210 - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218
       - x219 - x220 - x221 - x222 =E= -100;

e27..  - x66 - x223 - x224 - x225 - x226 - x227 - x228 - x229 - x230 - x231
       - x232 - x233 - x234 - x235 =E= -70;

e28.. x41*x236 - (x67*x281 + x80*x286 + x93*x291 + x106*x296 + x119*x301 + x132
      *x306 + x145*x311 + x158*x316 + x171*x321) - 3*x2 - 8*x15 - 10*x28
       - 893*x184 - 810*x197 - 757*x210 - 1016*x223 =E= 0;

e29.. x41*x237 - (x67*x282 + x80*x287 + x93*x292 + x106*x297 + x119*x302 + x132
      *x307 + x145*x312 + x158*x317 + x171*x322) - 3*x2 - 9*x15 - 849*x184
       - 968*x197 - 545*x210 - 953*x223 =E= 0;

e30.. x41*x238 - (x67*x283 + x80*x288 + x93*x293 + x106*x298 + x119*x303 + x132
      *x308 + x145*x313 + x158*x318 + x171*x323) - 8*x2 - 10*x15 - 3*x28
       - 947*x184 - 481*x197 - 785*x210 - 473*x223 =E= 0;

e31.. x41*x239 - (x67*x284 + x80*x289 + x93*x294 + x106*x299 + x119*x304 + x132
      *x309 + x145*x314 + x158*x319 + x171*x324) - 8*x2 - 2*x15 - 9*x28
       - 613*x184 - 771*x197 - 689*x210 - 971*x223 =E= 0;

e32.. x41*x240 - (x67*x285 + x80*x290 + x93*x295 + x106*x300 + x119*x305 + x132
      *x310 + x145*x315 + x158*x320 + x171*x325) - 4*x2 - 4*x15 - 8*x28
       - 440*x184 - 998*x197 - 986*x210 - 620*x223 =E= 0;

e33.. x42*x241 - (x68*x281 + x81*x286 + x94*x291 + x107*x296 + x120*x301 + x133
      *x306 + x146*x311 + x159*x316 + x172*x321) - 3*x3 - 8*x16 - 10*x29
       - 893*x185 - 810*x198 - 757*x211 - 1016*x224 =E= 0;

e34.. x42*x242 - (x68*x282 + x81*x287 + x94*x292 + x107*x297 + x120*x302 + x133
      *x307 + x146*x312 + x159*x317 + x172*x322) - 3*x3 - 9*x16 - 849*x185
       - 968*x198 - 545*x211 - 953*x224 =E= 0;

e35.. x42*x243 - (x68*x283 + x81*x288 + x94*x293 + x107*x298 + x120*x303 + x133
      *x308 + x146*x313 + x159*x318 + x172*x323) - 8*x3 - 10*x16 - 3*x29
       - 947*x185 - 481*x198 - 785*x211 - 473*x224 =E= 0;

e36.. x42*x244 - (x68*x284 + x81*x289 + x94*x294 + x107*x299 + x120*x304 + x133
      *x309 + x146*x314 + x159*x319 + x172*x324) - 8*x3 - 2*x16 - 9*x29
       - 613*x185 - 771*x198 - 689*x211 - 971*x224 =E= 0;

e37.. x42*x245 - (x68*x285 + x81*x290 + x94*x295 + x107*x300 + x120*x305 + x133
      *x310 + x146*x315 + x159*x320 + x172*x325) - 4*x3 - 4*x16 - 8*x29
       - 440*x185 - 998*x198 - 986*x211 - 620*x224 =E= 0;

e38.. x43*x246 - (x69*x281 + x82*x286 + x95*x291 + x108*x296 + x121*x301 + x134
      *x306 + x147*x311 + x160*x316 + x173*x321) - 3*x4 - 8*x17 - 10*x30
       - 893*x186 - 810*x199 - 757*x212 - 1016*x225 =E= 0;

e39.. x43*x247 - (x69*x282 + x82*x287 + x95*x292 + x108*x297 + x121*x302 + x134
      *x307 + x147*x312 + x160*x317 + x173*x322) - 3*x4 - 9*x17 - 849*x186
       - 968*x199 - 545*x212 - 953*x225 =E= 0;

e40.. x43*x248 - (x69*x283 + x82*x288 + x95*x293 + x108*x298 + x121*x303 + x134
      *x308 + x147*x313 + x160*x318 + x173*x323) - 8*x4 - 10*x17 - 3*x30
       - 947*x186 - 481*x199 - 785*x212 - 473*x225 =E= 0;

e41.. x43*x249 - (x69*x284 + x82*x289 + x95*x294 + x108*x299 + x121*x304 + x134
      *x309 + x147*x314 + x160*x319 + x173*x324) - 8*x4 - 2*x17 - 9*x30
       - 613*x186 - 771*x199 - 689*x212 - 971*x225 =E= 0;

e42.. x43*x250 - (x69*x285 + x82*x290 + x95*x295 + x108*x300 + x121*x305 + x134
      *x310 + x147*x315 + x160*x320 + x173*x325) - 4*x4 - 4*x17 - 8*x30
       - 440*x186 - 998*x199 - 986*x212 - 620*x225 =E= 0;

e43.. x44*x251 - (x70*x281 + x83*x286 + x96*x291 + x109*x296 + x122*x301 + x135
      *x306 + x148*x311 + x161*x316 + x174*x321) - 3*x5 - 8*x18 - 10*x31
       - 893*x187 - 810*x200 - 757*x213 - 1016*x226 =E= 0;

e44.. x44*x252 - (x70*x282 + x83*x287 + x96*x292 + x109*x297 + x122*x302 + x135
      *x307 + x148*x312 + x161*x317 + x174*x322) - 3*x5 - 9*x18 - 849*x187
       - 968*x200 - 545*x213 - 953*x226 =E= 0;

e45.. x44*x253 - (x70*x283 + x83*x288 + x96*x293 + x109*x298 + x122*x303 + x135
      *x308 + x148*x313 + x161*x318 + x174*x323) - 8*x5 - 10*x18 - 3*x31
       - 947*x187 - 481*x200 - 785*x213 - 473*x226 =E= 0;

e46.. x44*x254 - (x70*x284 + x83*x289 + x96*x294 + x109*x299 + x122*x304 + x135
      *x309 + x148*x314 + x161*x319 + x174*x324) - 8*x5 - 2*x18 - 9*x31
       - 613*x187 - 771*x200 - 689*x213 - 971*x226 =E= 0;

e47.. x44*x255 - (x70*x285 + x83*x290 + x96*x295 + x109*x300 + x122*x305 + x135
      *x310 + x148*x315 + x161*x320 + x174*x325) - 4*x5 - 4*x18 - 8*x31
       - 440*x187 - 998*x200 - 986*x213 - 620*x226 =E= 0;

e48.. x45*x256 - (x71*x281 + x84*x286 + x97*x291 + x110*x296 + x123*x301 + x136
      *x306 + x149*x311 + x162*x316 + x175*x321) - 3*x6 - 8*x19 - 10*x32
       - 893*x188 - 810*x201 - 757*x214 - 1016*x227 =E= 0;

e49.. x45*x257 - (x71*x282 + x84*x287 + x97*x292 + x110*x297 + x123*x302 + x136
      *x307 + x149*x312 + x162*x317 + x175*x322) - 3*x6 - 9*x19 - 849*x188
       - 968*x201 - 545*x214 - 953*x227 =E= 0;

e50.. x45*x258 - (x71*x283 + x84*x288 + x97*x293 + x110*x298 + x123*x303 + x136
      *x308 + x149*x313 + x162*x318 + x175*x323) - 8*x6 - 10*x19 - 3*x32
       - 947*x188 - 481*x201 - 785*x214 - 473*x227 =E= 0;

e51.. x45*x259 - (x71*x284 + x84*x289 + x97*x294 + x110*x299 + x123*x304 + x136
      *x309 + x149*x314 + x162*x319 + x175*x324) - 8*x6 - 2*x19 - 9*x32
       - 613*x188 - 771*x201 - 689*x214 - 971*x227 =E= 0;

e52.. x45*x260 - (x71*x285 + x84*x290 + x97*x295 + x110*x300 + x123*x305 + x136
      *x310 + x149*x315 + x162*x320 + x175*x325) - 4*x6 - 4*x19 - 8*x32
       - 440*x188 - 998*x201 - 986*x214 - 620*x227 =E= 0;

e53.. x46*x261 - (x72*x281 + x85*x286 + x98*x291 + x111*x296 + x124*x301 + x137
      *x306 + x150*x311 + x163*x316 + x176*x321) - 3*x7 - 8*x20 - 10*x33
       - 893*x189 - 810*x202 - 757*x215 - 1016*x228 =E= 0;

e54.. x46*x262 - (x72*x282 + x85*x287 + x98*x292 + x111*x297 + x124*x302 + x137
      *x307 + x150*x312 + x163*x317 + x176*x322) - 3*x7 - 9*x20 - 849*x189
       - 968*x202 - 545*x215 - 953*x228 =E= 0;

e55.. x46*x263 - (x72*x283 + x85*x288 + x98*x293 + x111*x298 + x124*x303 + x137
      *x308 + x150*x313 + x163*x318 + x176*x323) - 8*x7 - 10*x20 - 3*x33
       - 947*x189 - 481*x202 - 785*x215 - 473*x228 =E= 0;

e56.. x46*x264 - (x72*x284 + x85*x289 + x98*x294 + x111*x299 + x124*x304 + x137
      *x309 + x150*x314 + x163*x319 + x176*x324) - 8*x7 - 2*x20 - 9*x33
       - 613*x189 - 771*x202 - 689*x215 - 971*x228 =E= 0;

e57.. x46*x265 - (x72*x285 + x85*x290 + x98*x295 + x111*x300 + x124*x305 + x137
      *x310 + x150*x315 + x163*x320 + x176*x325) - 4*x7 - 4*x20 - 8*x33
       - 440*x189 - 998*x202 - 986*x215 - 620*x228 =E= 0;

e58.. x47*x266 - (x73*x281 + x86*x286 + x99*x291 + x112*x296 + x125*x301 + x138
      *x306 + x151*x311 + x164*x316 + x177*x321) - 3*x8 - 8*x21 - 10*x34
       - 893*x190 - 810*x203 - 757*x216 - 1016*x229 =E= 0;

e59.. x47*x267 - (x73*x282 + x86*x287 + x99*x292 + x112*x297 + x125*x302 + x138
      *x307 + x151*x312 + x164*x317 + x177*x322) - 3*x8 - 9*x21 - 849*x190
       - 968*x203 - 545*x216 - 953*x229 =E= 0;

e60.. x47*x268 - (x73*x283 + x86*x288 + x99*x293 + x112*x298 + x125*x303 + x138
      *x308 + x151*x313 + x164*x318 + x177*x323) - 8*x8 - 10*x21 - 3*x34
       - 947*x190 - 481*x203 - 785*x216 - 473*x229 =E= 0;

e61.. x47*x269 - (x73*x284 + x86*x289 + x99*x294 + x112*x299 + x125*x304 + x138
      *x309 + x151*x314 + x164*x319 + x177*x324) - 8*x8 - 2*x21 - 9*x34
       - 613*x190 - 771*x203 - 689*x216 - 971*x229 =E= 0;

e62.. x47*x270 - (x73*x285 + x86*x290 + x99*x295 + x112*x300 + x125*x305 + x138
      *x310 + x151*x315 + x164*x320 + x177*x325) - 4*x8 - 4*x21 - 8*x34
       - 440*x190 - 998*x203 - 986*x216 - 620*x229 =E= 0;

e63.. x48*x271 - (x74*x281 + x87*x286 + x100*x291 + x113*x296 + x126*x301 + 
      x139*x306 + x152*x311 + x165*x316 + x178*x321) - 3*x9 - 8*x22 - 10*x35
       - 893*x191 - 810*x204 - 757*x217 - 1016*x230 =E= 0;

e64.. x48*x272 - (x74*x282 + x87*x287 + x100*x292 + x113*x297 + x126*x302 + 
      x139*x307 + x152*x312 + x165*x317 + x178*x322) - 3*x9 - 9*x22 - 849*x191
       - 968*x204 - 545*x217 - 953*x230 =E= 0;

e65.. x48*x273 - (x74*x283 + x87*x288 + x100*x293 + x113*x298 + x126*x303 + 
      x139*x308 + x152*x313 + x165*x318 + x178*x323) - 8*x9 - 10*x22 - 3*x35
       - 947*x191 - 481*x204 - 785*x217 - 473*x230 =E= 0;

e66.. x48*x274 - (x74*x284 + x87*x289 + x100*x294 + x113*x299 + x126*x304 + 
      x139*x309 + x152*x314 + x165*x319 + x178*x324) - 8*x9 - 2*x22 - 9*x35
       - 613*x191 - 771*x204 - 689*x217 - 971*x230 =E= 0;

e67.. x48*x275 - (x74*x285 + x87*x290 + x100*x295 + x113*x300 + x126*x305 + 
      x139*x310 + x152*x315 + x165*x320 + x178*x325) - 4*x9 - 4*x22 - 8*x35
       - 440*x191 - 998*x204 - 986*x217 - 620*x230 =E= 0;

e68.. x49*x276 - (x75*x281 + x88*x286 + x101*x291 + x114*x296 + x127*x301 + 
      x140*x306 + x153*x311 + x166*x316 + x179*x321) - 3*x10 - 8*x23 - 10*x36
       - 893*x192 - 810*x205 - 757*x218 - 1016*x231 =E= 0;

e69.. x49*x277 - (x75*x282 + x88*x287 + x101*x292 + x114*x297 + x127*x302 + 
      x140*x307 + x153*x312 + x166*x317 + x179*x322) - 3*x10 - 9*x23 - 849*x192
       - 968*x205 - 545*x218 - 953*x231 =E= 0;

e70.. x49*x278 - (x75*x283 + x88*x288 + x101*x293 + x114*x298 + x127*x303 + 
      x140*x308 + x153*x313 + x166*x318 + x179*x323) - 8*x10 - 10*x23 - 3*x36
       - 947*x192 - 481*x205 - 785*x218 - 473*x231 =E= 0;

e71.. x49*x279 - (x75*x284 + x88*x289 + x101*x294 + x114*x299 + x127*x304 + 
      x140*x309 + x153*x314 + x166*x319 + x179*x324) - 8*x10 - 2*x23 - 9*x36
       - 613*x192 - 771*x205 - 689*x218 - 971*x231 =E= 0;

e72.. x49*x280 - (x75*x285 + x88*x290 + x101*x295 + x114*x300 + x127*x305 + 
      x140*x310 + x153*x315 + x166*x320 + x179*x325) - 4*x10 - 4*x23 - 8*x36
       - 440*x192 - 998*x205 - 986*x218 - 620*x231 =E= 0;

e73.. -x41*(x281 - x236) =E= -105592;

e74.. -x41*(x282 - x237) =E= -15276;

e75.. -x41*(x283 - x238) =E= -24656;

e76.. -x41*(x284 - x239) =E= -22646;

e77.. -x41*(x285 - x240) =E= -7236;

e78.. -x42*(x286 - x241) =E= -35520;

e79.. -x42*(x287 - x242) =E= -26492;

e80.. -x42*(x288 - x243) =E= -9324;

e81.. -x42*(x289 - x244) =E= -39516;

e82.. -x42*(x290 - x245) =E= -31302;

e83.. -x43*(x291 - x246) =E= -13156;

e84.. -x43*(x292 - x247) =E= -13468;

e85.. -x43*(x293 - x248) =E= -5642;

e86.. -x43*(x294 - x249) =E= -15184;

e87.. -x43*(x295 - x250) =E= -12766;

e88.. -x44*(x296 - x251) =E= -52712;

e89.. -x44*(x297 - x252) =E= -33088;

e90.. -x44*(x298 - x253) =E= -59048;

e91.. -x44*(x299 - x254) =E= -86328;

e92.. -x44*(x300 - x255) =E= -53944;

e93.. -x45*(x301 - x256) =E= -108400;

e94.. -x45*(x302 - x257) =E= -43200;

e95.. -x45*(x303 - x258) =E= -56700;

e96.. -x45*(x304 - x259) =E= -9900;

e97.. -x45*(x305 - x260) =E= -25100;

e98.. -x46*(x306 - x261) =E= -6050;

e99.. -x46*(x307 - x262) =E= -31900;

e100.. -x46*(x308 - x263) =E= -29700;

e101.. -x46*(x309 - x264) =E= -24310;

e102.. -x46*(x310 - x265) =E= -9680;

e103.. -x47*(x311 - x266) =E= -6750;

e104.. -x47*(x312 - x267) =E= -15500;

e105.. -x47*(x313 - x268) =E= -15950;

e106.. -x47*(x314 - x269) =E= -28400;

e107.. -x47*(x315 - x270) =E= -5800;

e108.. -x48*(x316 - x271) =E= -116550;

e109.. -x48*(x317 - x272) =E= -70938;

e110.. -x48*(x318 - x273) =E= -59346;

e111.. -x48*(x319 - x274) =E= -15624;

e112.. -x48*(x320 - x275) =E= -26082;

e113.. -x49*(x321 - x276) =E= -30624;

e114.. -x49*(x322 - x277) =E= -27492;

e115.. -x49*(x323 - x278) =E= -10904;

e116.. -x49*(x324 - x279) =E= -22852;

e117.. -x49*(x325 - x280) =E= -6612;

e118..    x236 =L= 279;

e119..    x237 =L= 532;

e120..    x238 =L= 86;

e121..    x239 =L= 952;

e122..    x240 =L= 178;

e123..    x241 =L= 700;

e124..    x242 =L= 827;

e125..    x243 =L= 272;

e126..    x244 =L= 589;

e127..    x245 =L= 619;

e128..    x246 =L= 400;

e129..    x247 =L= 460;

e130..    x248 =L= 710;

e131..    x249 =L= 514;

e132..    x250 =L= 590;

e133..    x251 =L= 514;

e134..    x252 =L= 540;

e135..    x253 =L= 328;

e136..    x254 =L= 9;

e137..    x255 =L= 277;

e138..    x256 =L= 85;

e139..    x257 =L= 541;

e140..    x258 =L= 227;

e141..    x259 =L= 825;

e142..    x260 =L= 111;

e143..    x261 =L= 900;

e144..    x262 =L= 323;

e145..    x263 =L= 549;

e146..    x264 =L= 213;

e147..    x265 =L= 27;

e148..    x266 =L= 805;

e149..    x267 =L= 871;

e150..    x268 =L= 101;

e151..    x269 =L= 377;

e152..    x270 =L= 512;

e153..    x271 =L= 272;

e154..    x272 =L= 46;

e155..    x273 =L= 636;

e156..    x274 =L= 933;

e157..    x275 =L= 413;

e158..    x276 =L= 233;

e159..    x277 =L= 279;

e160..    x278 =L= 760;

e161..    x279 =L= 516;

e162..    x280 =L= 178;

e163..    x281 =L= 1067;

e164..    x282 =L= 646;

e165..    x283 =L= 270;

e166..    x284 =L= 1121;

e167..    x285 =L= 232;

e168..    x286 =L= 1180;

e169..    x287 =L= 1185;

e170..    x288 =L= 398;

e171..    x289 =L= 1123;

e172..    x290 =L= 1042;

e173..    x291 =L= 906;

e174..    x292 =L= 978;

e175..    x293 =L= 927;

e176..    x294 =L= 1098;

e177..    x295 =L= 1081;

e178..    x296 =L= 1113;

e179..    x297 =L= 916;

e180..    x298 =L= 999;

e181..    x299 =L= 990;

e182..    x300 =L= 890;

e183..    x301 =L= 1169;

e184..    x302 =L= 973;

e185..    x303 =L= 794;

e186..    x304 =L= 924;

e187..    x305 =L= 362;

e188..    x306 =L= 1010;

e189..    x307 =L= 903;

e190..    x308 =L= 1089;

e191..    x309 =L= 655;

e192..    x310 =L= 203;

e193..    x311 =L= 940;

e194..    x312 =L= 1181;

e195..    x313 =L= 420;

e196..    x314 =L= 945;

e197..    x315 =L= 628;

e198..    x316 =L= 1197;

e199..    x317 =L= 609;

e200..    x318 =L= 1107;

e201..    x319 =L= 1057;

e202..    x320 =L= 620;

e203..    x321 =L= 761;

e204..    x322 =L= 753;

e205..    x323 =L= 948;

e206..    x324 =L= 910;

e207..    x325 =L= 292;

e208.. -(x76*x281 + x89*x286 + x102*x291 + x115*x296 + x128*x301 + x141*x306 + 
       x154*x311 + x167*x316 + x180*x321) - 3*x11 - 8*x24 - 10*x37 - 893*x193
        - 810*x206 - 757*x219 - 1016*x232 =G= -75555;

e209.. -(x76*x282 + x89*x287 + x102*x292 + x115*x297 + x128*x302 + x141*x307 + 
       x154*x312 + x167*x317 + x180*x322) - 3*x11 - 9*x24 - 849*x193 - 968*x206
        - 545*x219 - 953*x232 =G= -52440;

e210.. -(x76*x283 + x89*x288 + x102*x293 + x115*x298 + x128*x303 + x141*x308 + 
       x154*x313 + x167*x318 + x180*x323) - 8*x11 - 10*x24 - 3*x37 - 947*x193
        - 481*x206 - 785*x219 - 473*x232 =G= -31970;

e211.. -(x76*x284 + x89*x289 + x102*x294 + x115*x299 + x128*x304 + x141*x309 + 
       x154*x314 + x167*x319 + x180*x324) - 8*x11 - 2*x24 - 9*x37 - 613*x193
        - 771*x206 - 689*x219 - 971*x232 =G= -60720;

e212.. -(x76*x285 + x89*x290 + x102*x295 + x115*x300 + x128*x305 + x141*x310 + 
       x154*x315 + x167*x320 + x180*x325) - 4*x11 - 4*x24 - 8*x37 - 440*x193
        - 998*x206 - 986*x219 - 620*x232 =G= -27600;

e213.. -(x77*x281 + x90*x286 + x103*x291 + x116*x296 + x129*x301 + x142*x306 + 
       x155*x311 + x168*x316 + x181*x321) - 3*x12 - 8*x25 - 10*x38 - 893*x194
        - 810*x207 - 757*x220 - 1016*x233 =G= -1275;

e214.. -(x77*x282 + x90*x287 + x103*x292 + x116*x297 + x129*x302 + x142*x307 + 
       x155*x312 + x168*x317 + x181*x322) - 3*x12 - 9*x25 - 849*x194 - 968*x207
        - 545*x220 - 953*x233 =G= -46155;

e215.. -(x77*x283 + x90*x288 + x103*x293 + x116*x298 + x129*x303 + x142*x308 + 
       x155*x313 + x168*x318 + x181*x323) - 8*x12 - 10*x25 - 3*x38 - 947*x194
        - 481*x207 - 785*x220 - 473*x233 =G= -23460;

e216.. -(x77*x284 + x90*x289 + x103*x294 + x116*x299 + x129*x304 + x142*x309 + 
       x155*x314 + x168*x319 + x181*x324) - 8*x12 - 2*x25 - 9*x38 - 613*x194
        - 771*x207 - 689*x220 - 971*x233 =G= -36210;

e217.. -(x77*x285 + x90*x290 + x103*x295 + x116*x300 + x129*x305 + x142*x310 + 
       x155*x315 + x168*x320 + x181*x325) - 4*x12 - 4*x25 - 8*x38 - 440*x194
        - 998*x207 - 986*x220 - 620*x233 =G= -36720;

e218.. -(x78*x281 + x91*x286 + x104*x291 + x117*x296 + x130*x301 + x143*x306 + 
       x156*x311 + x169*x316 + x182*x321) - 3*x13 - 8*x26 - 10*x39 - 893*x195
        - 810*x208 - 757*x221 - 1016*x234 =G= -70490;

e219.. -(x78*x282 + x91*x287 + x104*x292 + x117*x297 + x130*x302 + x143*x307 + 
       x156*x312 + x169*x317 + x182*x322) - 3*x13 - 9*x26 - 849*x195 - 968*x208
        - 545*x221 - 953*x234 =G= -8360;

e220.. -(x78*x283 + x91*x288 + x104*x293 + x117*x298 + x130*x303 + x143*x308 + 
       x156*x313 + x169*x318 + x182*x323) - 8*x13 - 10*x26 - 3*x39 - 947*x195
        - 481*x208 - 785*x221 - 473*x234 =G= -18715;

e221.. -(x78*x284 + x91*x289 + x104*x294 + x117*x299 + x130*x304 + x143*x309 + 
       x156*x314 + x169*x319 + x182*x324) - 8*x13 - 2*x26 - 9*x39 - 613*x195
        - 771*x208 - 689*x221 - 971*x234 =G= -32395;

e222.. -(x78*x285 + x91*x290 + x104*x295 + x117*x300 + x130*x305 + x143*x310 + 
       x156*x315 + x169*x320 + x182*x325) - 4*x13 - 4*x26 - 8*x39 - 440*x195
        - 998*x208 - 986*x221 - 620*x234 =G= -57095;

e223.. -(x79*x281 + x92*x286 + x105*x291 + x118*x296 + x131*x301 + x144*x306 + 
       x157*x311 + x170*x316 + x183*x321) - 3*x14 - 8*x27 - 10*x40 - 893*x196
        - 810*x209 - 757*x222 - 1016*x235 =G= -75040;

e224.. -(x79*x282 + x92*x287 + x105*x292 + x118*x297 + x131*x302 + x144*x307 + 
       x157*x312 + x170*x317 + x183*x322) - 3*x14 - 9*x27 - 849*x196 - 968*x209
        - 545*x222 - 953*x235 =G= -75760;

e225.. -(x79*x283 + x92*x288 + x105*x293 + x118*x298 + x131*x303 + x144*x308 + 
       x157*x313 + x170*x318 + x183*x323) - 8*x14 - 10*x27 - 3*x40 - 947*x196
        - 481*x209 - 785*x222 - 473*x235 =G= -19920;

e226.. -(x79*x284 + x92*x289 + x105*x294 + x118*x299 + x131*x304 + x144*x309 + 
       x157*x314 + x170*x319 + x183*x324) - 8*x14 - 2*x27 - 9*x40 - 613*x196
        - 771*x209 - 689*x222 - 971*x235 =G= -76320;

e227.. -(x79*x285 + x92*x290 + x105*x295 + x118*x300 + x131*x305 + x144*x310 + 
       x157*x315 + x170*x320 + x183*x325) - 4*x14 - 4*x27 - 8*x40 - 440*x196
        - 998*x209 - 986*x222 - 620*x235 =G= -40720;

e228..    x41 =L= 134;

e229..    x42 =L= 74;

e230..    x43 =L= 26;

e231..    x44 =L= 88;

e232..    x45 =L= 100;

e233..    x46 =L= 55;

e234..    x47 =L= 50;

e235..    x48 =L= 126;

e236..    x49 =L= 58;

e237..    x50 =L= 0;

e238..    x51 =L= 0;

e239..    x52 =L= 0;

e240..    x53 =L= 0;

* set non-default bounds
x2.up = 100000;
x3.up = 100000;
x4.up = 100000;
x5.up = 100000;
x6.up = 100000;
x7.up = 100000;
x8.up = 100000;
x9.up = 100000;
x10.up = 100000;
x11.up = 100000;
x12.up = 100000;
x13.up = 100000;
x14.up = 100000;
x15.up = 100000;
x16.up = 100000;
x17.up = 100000;
x18.up = 100000;
x19.up = 100000;
x20.up = 100000;
x21.up = 100000;
x22.up = 100000;
x23.up = 100000;
x24.up = 100000;
x25.up = 100000;
x26.up = 100000;
x27.up = 100000;
x28.up = 100000;
x29.up = 100000;
x30.up = 100000;
x31.up = 100000;
x32.up = 100000;
x33.up = 100000;
x34.up = 100000;
x35.up = 100000;
x36.up = 100000;
x37.up = 100000;
x38.up = 100000;
x39.up = 100000;
x40.up = 100000;
x41.up = 100000;
x42.up = 100000;
x43.up = 100000;
x44.up = 100000;
x45.up = 100000;
x46.up = 100000;
x47.up = 100000;
x48.up = 100000;
x49.up = 100000;
x50.up = 100000;
x51.up = 100000;
x52.up = 100000;
x53.up = 100000;
x54.up = 100000;
x55.up = 100000;
x56.up = 100000;
x57.up = 100000;
x58.up = 100000;
x59.up = 100000;
x60.up = 100000;
x61.up = 100000;
x62.up = 100000;
x63.up = 100000;
x64.up = 100000;
x65.up = 100000;
x66.up = 100000;
x67.up = 100000;
x68.up = 100000;
x69.up = 100000;
x70.up = 100000;
x71.up = 100000;
x72.up = 100000;
x73.up = 100000;
x74.up = 100000;
x75.up = 100000;
x76.up = 100000;
x77.up = 100000;
x78.up = 100000;
x79.up = 100000;
x80.up = 100000;
x81.up = 100000;
x82.up = 100000;
x83.up = 100000;
x84.up = 100000;
x85.up = 100000;
x86.up = 100000;
x87.up = 100000;
x88.up = 100000;
x89.up = 100000;
x90.up = 100000;
x91.up = 100000;
x92.up = 100000;
x93.up = 100000;
x94.up = 100000;
x95.up = 100000;
x96.up = 100000;
x97.up = 100000;
x98.up = 100000;
x99.up = 100000;
x100.up = 100000;
x101.up = 100000;
x102.up = 100000;
x103.up = 100000;
x104.up = 100000;
x105.up = 100000;
x106.up = 100000;
x107.up = 100000;
x108.up = 100000;
x109.up = 100000;
x110.up = 100000;
x111.up = 100000;
x112.up = 100000;
x113.up = 100000;
x114.up = 100000;
x115.up = 100000;
x116.up = 100000;
x117.up = 100000;
x118.up = 100000;
x119.up = 100000;
x120.up = 100000;
x121.up = 100000;
x122.up = 100000;
x123.up = 100000;
x124.up = 100000;
x125.up = 100000;
x126.up = 100000;
x127.up = 100000;
x128.up = 100000;
x129.up = 100000;
x130.up = 100000;
x131.up = 100000;
x132.up = 100000;
x133.up = 100000;
x134.up = 100000;
x135.up = 100000;
x136.up = 100000;
x137.up = 100000;
x138.up = 100000;
x139.up = 100000;
x140.up = 100000;
x141.up = 100000;
x142.up = 100000;
x143.up = 100000;
x144.up = 100000;
x145.up = 100000;
x146.up = 100000;
x147.up = 100000;
x148.up = 100000;
x149.up = 100000;
x150.up = 100000;
x151.up = 100000;
x152.up = 100000;
x153.up = 100000;
x154.up = 100000;
x155.up = 100000;
x156.up = 100000;
x157.up = 100000;
x158.up = 100000;
x159.up = 100000;
x160.up = 100000;
x161.up = 100000;
x162.up = 100000;
x163.up = 100000;
x164.up = 100000;
x165.up = 100000;
x166.up = 100000;
x167.up = 100000;
x168.up = 100000;
x169.up = 100000;
x170.up = 100000;
x171.up = 100000;
x172.up = 100000;
x173.up = 100000;
x174.up = 100000;
x175.up = 100000;
x176.up = 100000;
x177.up = 100000;
x178.up = 100000;
x179.up = 100000;
x180.up = 100000;
x181.up = 100000;
x182.up = 100000;
x183.up = 100000;
x184.up = 100000;
x185.up = 100000;
x186.up = 100000;
x187.up = 100000;
x188.up = 100000;
x189.up = 100000;
x190.up = 100000;
x191.up = 100000;
x192.up = 100000;
x193.up = 100000;
x194.up = 100000;
x195.up = 100000;
x196.up = 100000;
x197.up = 100000;
x198.up = 100000;
x199.up = 100000;
x200.up = 100000;
x201.up = 100000;
x202.up = 100000;
x203.up = 100000;
x204.up = 100000;
x205.up = 100000;
x206.up = 100000;
x207.up = 100000;
x208.up = 100000;
x209.up = 100000;
x210.up = 100000;
x211.up = 100000;
x212.up = 100000;
x213.up = 100000;
x214.up = 100000;
x215.up = 100000;
x216.up = 100000;
x217.up = 100000;
x218.up = 100000;
x219.up = 100000;
x220.up = 100000;
x221.up = 100000;
x222.up = 100000;
x223.up = 100000;
x224.up = 100000;
x225.up = 100000;
x226.up = 100000;
x227.up = 100000;
x228.up = 100000;
x229.up = 100000;
x230.up = 100000;
x231.up = 100000;
x232.up = 100000;
x233.up = 100000;
x234.up = 100000;
x235.up = 100000;
x236.up = 100000;
x237.up = 100000;
x238.up = 100000;
x239.up = 100000;
x240.up = 100000;
x241.up = 100000;
x242.up = 100000;
x243.up = 100000;
x244.up = 100000;
x245.up = 100000;
x246.up = 100000;
x247.up = 100000;
x248.up = 100000;
x249.up = 100000;
x250.up = 100000;
x251.up = 100000;
x252.up = 100000;
x253.up = 100000;
x254.up = 100000;
x255.up = 100000;
x256.up = 100000;
x257.up = 100000;
x258.up = 100000;
x259.up = 100000;
x260.up = 100000;
x261.up = 100000;
x262.up = 100000;
x263.up = 100000;
x264.up = 100000;
x265.up = 100000;
x266.up = 100000;
x267.up = 100000;
x268.up = 100000;
x269.up = 100000;
x270.up = 100000;
x271.up = 100000;
x272.up = 100000;
x273.up = 100000;
x274.up = 100000;
x275.up = 100000;
x276.up = 100000;
x277.up = 100000;
x278.up = 100000;
x279.up = 100000;
x280.up = 100000;
x281.up = 100000;
x282.up = 100000;
x283.up = 100000;
x284.up = 100000;
x285.up = 100000;
x286.up = 100000;
x287.up = 100000;
x288.up = 100000;
x289.up = 100000;
x290.up = 100000;
x291.up = 100000;
x292.up = 100000;
x293.up = 100000;
x294.up = 100000;
x295.up = 100000;
x296.up = 100000;
x297.up = 100000;
x298.up = 100000;
x299.up = 100000;
x300.up = 100000;
x301.up = 100000;
x302.up = 100000;
x303.up = 100000;
x304.up = 100000;
x305.up = 100000;
x306.up = 100000;
x307.up = 100000;
x308.up = 100000;
x309.up = 100000;
x310.up = 100000;
x311.up = 100000;
x312.up = 100000;
x313.up = 100000;
x314.up = 100000;
x315.up = 100000;
x316.up = 100000;
x317.up = 100000;
x318.up = 100000;
x319.up = 100000;
x320.up = 100000;
x321.up = 100000;
x322.up = 100000;
x323.up = 100000;
x324.up = 100000;
x325.up = 100000;

Model m / all /;

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

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

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


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