QPLIB
A Library of Quadratic Programming Instances
Home // browse instances // view statistics // read documentation // download QPLIB archive [ 1.5G ]QPLIB_3240
| Formats | gms lp mod qplib |
| Problem type probtype | LCQ |
| Solution point objective value solobjvalue | 1201.03846200 (gdx, sol) |
| Solution point infeasibility solinfeasibility | 3.6380e-12 |
| Donor donor | Ruth Misener |
| #Variables nvars | 516 |
| #Binary Variables nbinvars | 0 |
| #Integer Variables nintvars | 0 |
| #Bounded non-binary Variables nboundedvars | 130 |
| #Variables with only one bound nsingleboundedvars | 0 |
| #Nonlinear Variables nnlvars | 130 |
| #Nonlinear Binary Variables nnlbinvars | 0 |
| #Nonlinear Integer Variables nnlintvars | 0 |
| Objective Sense objsense | min |
| Objective type objtype | linear |
| Objective curvature objcurvature | linear |
| #Negative eigenvalues in objective matrix nobjquadnegev | |
| #Positive eigenvalues in objective matrix nobjquadposev | |
| #Nonzeros in Objective nobjnz | 10 |
| #Nonlinear Nonzeros in Objective nobjnlnz | 0 |
| #Quadratic Terms in Objective nobjquadnz | 0 |
| #Square Terms in Objective nobjquaddiagnz | 0 |
| #Constraints ncons | 407 |
| #Linear Constraints nlincons | 187 |
| #Quadratic Constraints nquadcons | 220 |
| #Diagonal Quadratic Constraints ndiagquadcons | 0 |
| Constraints curvature conscurvature | indefinite |
| #Convex Nonlinear Constraints nconvexnlcons | 0 |
| #Concave Nonlinear Constraints nconcavenlcons | 0 |
| #Indefinite Nonlinear Constraints nindefinitenlcons | 220 |
| #Nonzeros in Jacobian njacobiannz | 1907 |
| #Nonlinear Nonzeros in Jacobian njacobiannlnz | 440 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 440 |
| #Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 0 |
| #Blocks in Hessian of Lagrangian nlaghessianblocks | 10 |
| Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 13 |
| Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 13 |
| Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 13.0 |
| Sparsity Jacobian |  |
| Sparsity Lag. Hessian |  |
QPLIB_3240.gms
$offlisting
*
* Equation counts
* Total E G L N X C B
* 408 397 0 11 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 517 517 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 1918 1478 440 0
*
* Solve m using QCP 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,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,x477,x478,x479
,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517;
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,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,x477,x478
,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517;
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;
e1.. - objvar + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 =E= 0;
e2.. - x12 - x13 - x14 - x15 - x16 - x17 - x18 - x19 - x20 - x21 - x22 =E= -90
;
e3.. - x23 - x24 - x25 - x26 - x27 - x28 - x29 - x30 - x31 - x32 - x33
=E= -350;
e4.. - x34 - x35 - x36 - x37 - x38 - x39 - x40 - x41 - x42 - x43 - x44
=E= -200;
e5.. - x45 - x46 - x47 - x48 - x49 - x50 - x51 - x52 - x53 - x54 - x55 =E= -40
;
e6.. - x56 - x57 - x58 - x59 - x60 - x61 - x62 - x63 - x64 - x65 - x66
=E= -130;
e7.. x2 - x13 - x24 - x35 - x46 - x57 - x67 - x68 - x69 - x70 - x71 - x72
- x73 - x74 - x75 - x76 =E= 0;
e8.. x3 - x14 - x25 - x36 - x47 - x58 - x77 - x78 - x79 - x80 - x81 - x82
- x83 - x84 - x85 - x86 =E= 0;
e9.. x4 - x15 - x26 - x37 - x48 - x59 - x87 - x88 - x89 - x90 - x91 - x92
- x93 - x94 - x95 - x96 =E= 0;
e10.. x5 - x16 - x27 - x38 - x49 - x60 - x97 - x98 - x99 - x100 - x101
- x102 - x103 - x104 - x105 - x106 =E= 0;
e11.. x6 - x17 - x28 - x39 - x50 - x61 - x107 - x108 - x109 - x110 - x111
- x112 - x113 - x114 - x115 - x116 =E= 0;
e12.. x7 - x18 - x29 - x40 - x51 - x62 - x117 - x118 - x119 - x120 - x121
- x122 - x123 - x124 - x125 - x126 =E= 0;
e13.. x8 - x19 - x30 - x41 - x52 - x63 - x127 - x128 - x129 - x130 - x131
- x132 - x133 - x134 - x135 - x136 =E= 0;
e14.. x9 - x20 - x31 - x42 - x53 - x64 - x137 - x138 - x139 - x140 - x141
- x142 - x143 - x144 - x145 - x146 =E= 0;
e15.. x10 - x21 - x32 - x43 - x54 - x65 - x147 - x148 - x149 - x150 - x151
- x152 - x153 - x154 - x155 - x156 =E= 0;
e16.. x11 - x22 - x33 - x44 - x55 - x66 - x157 - x158 - x159 - x160 - x161
- x162 - x163 - x164 - x165 - x166 =E= 0;
e17.. x2 - x67 - x77 - x87 - x97 - x107 - x117 - x127 - x137 - x147 - x157
- x167 =E= 0;
e18.. x3 - x68 - x78 - x88 - x98 - x108 - x118 - x128 - x138 - x148 - x158
- x168 =E= 0;
e19.. x4 - x69 - x79 - x89 - x99 - x109 - x119 - x129 - x139 - x149 - x159
- x169 =E= 0;
e20.. x5 - x70 - x80 - x90 - x100 - x110 - x120 - x130 - x140 - x150 - x160
- x170 =E= 0;
e21.. x6 - x71 - x81 - x91 - x101 - x111 - x121 - x131 - x141 - x151 - x161
- x171 =E= 0;
e22.. x7 - x72 - x82 - x92 - x102 - x112 - x122 - x132 - x142 - x152 - x162
- x172 =E= 0;
e23.. x8 - x73 - x83 - x93 - x103 - x113 - x123 - x133 - x143 - x153 - x163
- x173 =E= 0;
e24.. x9 - x74 - x84 - x94 - x104 - x114 - x124 - x134 - x144 - x154 - x164
- x174 =E= 0;
e25.. x10 - x75 - x85 - x95 - x105 - x115 - x125 - x135 - x145 - x155 - x165
- x175 =E= 0;
e26.. x11 - x76 - x86 - x96 - x106 - x116 - x126 - x136 - x146 - x156 - x166
- x176 =E= 0;
e27.. - x12 - x23 - x34 - x45 - x56 - x167 - x168 - x169 - x170 - x171 - x172
- x173 - x174 - x175 - x176 + x177 =E= 0;
e28.. - x178 - x179 - x180 - x181 - x182 - x183 - x184 - x185 - x186 - x187
- x188 =E= -29700;
e29.. - x189 - x190 - x191 - x192 - x193 - x194 - x195 - x196 - x197 - x198
- x199 =E= -17500;
e30.. - x200 - x201 - x202 - x203 - x204 - x205 - x206 - x207 - x208 - x209
- x210 =E= -30000;
e31.. - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218 - x219 - x220
- x221 =E= -9600;
e32.. - x222 - x223 - x224 - x225 - x226 - x227 - x228 - x229 - x230 - x231
- x232 =E= -15600;
e33.. - x179 + 29700*x233 =E= 0;
e34.. - x180 + 29700*x234 =E= 0;
e35.. - x181 + 29700*x235 =E= 0;
e36.. - x182 + 29700*x236 =E= 0;
e37.. - x183 + 29700*x237 =E= 0;
e38.. - x184 + 29700*x238 =E= 0;
e39.. - x185 + 29700*x239 =E= 0;
e40.. - x186 + 29700*x240 =E= 0;
e41.. - x187 + 29700*x241 =E= 0;
e42.. - x188 + 29700*x242 =E= 0;
e43.. - x190 + 17500*x243 =E= 0;
e44.. - x191 + 17500*x244 =E= 0;
e45.. - x192 + 17500*x245 =E= 0;
e46.. - x193 + 17500*x246 =E= 0;
e47.. - x194 + 17500*x247 =E= 0;
e48.. - x195 + 17500*x248 =E= 0;
e49.. - x196 + 17500*x249 =E= 0;
e50.. - x197 + 17500*x250 =E= 0;
e51.. - x198 + 17500*x251 =E= 0;
e52.. - x199 + 17500*x252 =E= 0;
e53.. - x201 + 30000*x253 =E= 0;
e54.. - x202 + 30000*x254 =E= 0;
e55.. - x203 + 30000*x255 =E= 0;
e56.. - x204 + 30000*x256 =E= 0;
e57.. - x205 + 30000*x257 =E= 0;
e58.. - x206 + 30000*x258 =E= 0;
e59.. - x207 + 30000*x259 =E= 0;
e60.. - x208 + 30000*x260 =E= 0;
e61.. - x209 + 30000*x261 =E= 0;
e62.. - x210 + 30000*x262 =E= 0;
e63.. - x212 + 9600*x263 =E= 0;
e64.. - x213 + 9600*x264 =E= 0;
e65.. - x214 + 9600*x265 =E= 0;
e66.. - x215 + 9600*x266 =E= 0;
e67.. - x216 + 9600*x267 =E= 0;
e68.. - x217 + 9600*x268 =E= 0;
e69.. - x218 + 9600*x269 =E= 0;
e70.. - x219 + 9600*x270 =E= 0;
e71.. - x220 + 9600*x271 =E= 0;
e72.. - x221 + 9600*x272 =E= 0;
e73.. - x223 + 15600*x273 =E= 0;
e74.. - x224 + 15600*x274 =E= 0;
e75.. - x225 + 15600*x275 =E= 0;
e76.. - x226 + 15600*x276 =E= 0;
e77.. - x227 + 15600*x277 =E= 0;
e78.. - x228 + 15600*x278 =E= 0;
e79.. - x229 + 15600*x279 =E= 0;
e80.. - x230 + 15600*x280 =E= 0;
e81.. - x231 + 15600*x281 =E= 0;
e82.. - x232 + 15600*x282 =E= 0;
e83.. - x178 + 29700*x283 =E= 0;
e84.. - x189 + 17500*x284 =E= 0;
e85.. - x200 + 30000*x285 =E= 0;
e86.. - x211 + 9600*x286 =E= 0;
e87.. - x222 + 15600*x287 =E= 0;
e88.. - x13 + 90*x233 =E= 0;
e89.. - x14 + 90*x234 =E= 0;
e90.. - x15 + 90*x235 =E= 0;
e91.. - x16 + 90*x236 =E= 0;
e92.. - x17 + 90*x237 =E= 0;
e93.. - x18 + 90*x238 =E= 0;
e94.. - x19 + 90*x239 =E= 0;
e95.. - x20 + 90*x240 =E= 0;
e96.. - x21 + 90*x241 =E= 0;
e97.. - x22 + 90*x242 =E= 0;
e98.. - x24 + 350*x243 =E= 0;
e99.. - x25 + 350*x244 =E= 0;
e100.. - x26 + 350*x245 =E= 0;
e101.. - x27 + 350*x246 =E= 0;
e102.. - x28 + 350*x247 =E= 0;
e103.. - x29 + 350*x248 =E= 0;
e104.. - x30 + 350*x249 =E= 0;
e105.. - x31 + 350*x250 =E= 0;
e106.. - x32 + 350*x251 =E= 0;
e107.. - x33 + 350*x252 =E= 0;
e108.. - x35 + 200*x253 =E= 0;
e109.. - x36 + 200*x254 =E= 0;
e110.. - x37 + 200*x255 =E= 0;
e111.. - x38 + 200*x256 =E= 0;
e112.. - x39 + 200*x257 =E= 0;
e113.. - x40 + 200*x258 =E= 0;
e114.. - x41 + 200*x259 =E= 0;
e115.. - x42 + 200*x260 =E= 0;
e116.. - x43 + 200*x261 =E= 0;
e117.. - x44 + 200*x262 =E= 0;
e118.. - x46 + 40*x263 =E= 0;
e119.. - x47 + 40*x264 =E= 0;
e120.. - x48 + 40*x265 =E= 0;
e121.. - x49 + 40*x266 =E= 0;
e122.. - x50 + 40*x267 =E= 0;
e123.. - x51 + 40*x268 =E= 0;
e124.. - x52 + 40*x269 =E= 0;
e125.. - x53 + 40*x270 =E= 0;
e126.. - x54 + 40*x271 =E= 0;
e127.. - x55 + 40*x272 =E= 0;
e128.. - x57 + 130*x273 =E= 0;
e129.. - x58 + 130*x274 =E= 0;
e130.. - x59 + 130*x275 =E= 0;
e131.. - x60 + 130*x276 =E= 0;
e132.. - x61 + 130*x277 =E= 0;
e133.. - x62 + 130*x278 =E= 0;
e134.. - x63 + 130*x279 =E= 0;
e135.. - x64 + 130*x280 =E= 0;
e136.. - x65 + 130*x281 =E= 0;
e137.. - x66 + 130*x282 =E= 0;
e138.. - x12 + 90*x283 =E= 0;
e139.. - x23 + 350*x284 =E= 0;
e140.. - x34 + 200*x285 =E= 0;
e141.. - x45 + 40*x286 =E= 0;
e142.. - x56 + 130*x287 =E= 0;
e143.. x233 + x234 + x235 + x236 + x237 + x238 + x239 + x240 + x241 + x242
+ x283 =E= 1;
e144.. x243 + x244 + x245 + x246 + x247 + x248 + x249 + x250 + x251 + x252
+ x284 =E= 1;
e145.. x253 + x254 + x255 + x256 + x257 + x258 + x259 + x260 + x261 + x262
+ x285 =E= 1;
e146.. x263 + x264 + x265 + x266 + x267 + x268 + x269 + x270 + x271 + x272
+ x286 =E= 1;
e147.. x273 + x274 + x275 + x276 + x277 + x278 + x279 + x280 + x281 + x282
+ x287 =E= 1;
e148.. - 30*x2 + x179 + x190 + x201 + x212 + x223 + x288 + x289 + x290 + x291
+ x292 + x293 + x294 + x295 + x296 + x297 =L= 0;
e149.. - 100*x3 + x180 + x191 + x202 + x213 + x224 + x298 + x299 + x300 + x301
+ x302 + x303 + x304 + x305 + x306 + x307 =L= 0;
e150.. - 50*x4 + x181 + x192 + x203 + x214 + x225 + x308 + x309 + x310 + x311
+ x312 + x313 + x314 + x315 + x316 + x317 =L= 0;
e151.. - 227*x5 + x182 + x193 + x204 + x215 + x226 + x318 + x319 + x320 + x321
+ x322 + x323 + x324 + x325 + x326 + x327 =L= 0;
e152.. - 100*x6 + x183 + x194 + x205 + x216 + x227 + x328 + x329 + x330 + x331
+ x332 + x333 + x334 + x335 + x336 + x337 =L= 0;
e153.. - 300*x7 + x184 + x195 + x206 + x217 + x228 + x338 + x339 + x340 + x341
+ x342 + x343 + x344 + x345 + x346 + x347 =L= 0;
e154.. - 12*x8 + x185 + x196 + x207 + x218 + x229 + x348 + x349 + x350 + x351
+ x352 + x353 + x354 + x355 + x356 + x357 =L= 0;
e155.. - 970*x9 + x186 + x197 + x208 + x219 + x230 + x358 + x359 + x360 + x361
+ x362 + x363 + x364 + x365 + x366 + x367 =L= 0;
e156.. - 20*x10 + x187 + x198 + x209 + x220 + x231 + x368 + x369 + x370 + x371
+ x372 + x373 + x374 + x375 + x376 + x377 =L= 0;
e157.. - 250*x11 + x188 + x199 + x210 + x221 + x232 + x378 + x379 + x380
+ x381 + x382 + x383 + x384 + x385 + x386 + x387 =L= 0;
e158.. 0.05*x179 + 0.05*x190 + 0.05*x201 + 0.05*x212 + 0.05*x223 + 0.05*x288
+ 0.05*x289 + 0.05*x290 + 0.05*x291 + 0.05*x292 + 0.05*x293 + 0.05*x294
+ 0.05*x295 + 0.05*x296 + 0.05*x297 - x388 =E= 0;
e159.. 0.2*x180 + 0.2*x191 + 0.2*x202 + 0.2*x213 + 0.2*x224 + 0.2*x298
+ 0.2*x299 + 0.2*x300 + 0.2*x301 + 0.2*x302 + 0.2*x303 + 0.2*x304
+ 0.2*x305 + 0.2*x306 + 0.2*x307 - x389 =E= 0;
e160.. 0.15*x181 + 0.15*x192 + 0.15*x203 + 0.15*x214 + 0.15*x225 + 0.15*x308
+ 0.15*x309 + 0.15*x310 + 0.15*x311 + 0.15*x312 + 0.15*x313 + 0.15*x314
+ 0.15*x315 + 0.15*x316 + 0.15*x317 - x390 =E= 0;
e161.. 0.88*x182 + 0.88*x193 + 0.88*x204 + 0.88*x215 + 0.88*x226 + 0.88*x318
+ 0.88*x319 + 0.88*x320 + 0.88*x321 + 0.88*x322 + 0.88*x323 + 0.88*x324
+ 0.88*x325 + 0.88*x326 + 0.88*x327 - x391 =E= 0;
e162.. 0.7*x183 + 0.7*x194 + 0.7*x205 + 0.7*x216 + 0.7*x227 + 0.7*x328
+ 0.7*x329 + 0.7*x330 + 0.7*x331 + 0.7*x332 + 0.7*x333 + 0.7*x334
+ 0.7*x335 + 0.7*x336 + 0.7*x337 - x392 =E= 0;
e163.. 0.4*x184 + 0.4*x195 + 0.4*x206 + 0.4*x217 + 0.4*x228 + 0.4*x338
+ 0.4*x339 + 0.4*x340 + 0.4*x341 + 0.4*x342 + 0.4*x343 + 0.4*x344
+ 0.4*x345 + 0.4*x346 + 0.4*x347 - x393 =E= 0;
e164.. 0.33*x185 + 0.33*x196 + 0.33*x207 + 0.33*x218 + 0.33*x229 + 0.33*x348
+ 0.33*x349 + 0.33*x350 + 0.33*x351 + 0.33*x352 + 0.33*x353 + 0.33*x354
+ 0.33*x355 + 0.33*x356 + 0.33*x357 - x394 =E= 0;
e165.. 0.3*x186 + 0.3*x197 + 0.3*x208 + 0.3*x219 + 0.3*x230 + 0.3*x358
+ 0.3*x359 + 0.3*x360 + 0.3*x361 + 0.3*x362 + 0.3*x363 + 0.3*x364
+ 0.3*x365 + 0.3*x366 + 0.3*x367 - x395 =E= 0;
e166.. 0.4*x187 + 0.4*x198 + 0.4*x209 + 0.4*x220 + 0.4*x231 + 0.4*x368
+ 0.4*x369 + 0.4*x370 + 0.4*x371 + 0.4*x372 + 0.4*x373 + 0.4*x374
+ 0.4*x375 + 0.4*x376 + 0.4*x377 - x396 =E= 0;
e167.. 0.3*x188 + 0.3*x199 + 0.3*x210 + 0.3*x221 + 0.3*x232 + 0.3*x378
+ 0.3*x379 + 0.3*x380 + 0.3*x381 + 0.3*x382 + 0.3*x383 + 0.3*x384
+ 0.3*x385 + 0.3*x386 + 0.3*x387 - x397 =E= 0;
e168.. - x288 - x298 - x308 - x318 - x328 - x338 - x348 - x358 - x368 - x378
+ x388 - x398 =E= 0;
e169.. - x289 - x299 - x309 - x319 - x329 - x339 - x349 - x359 - x369 - x379
+ x389 - x399 =E= 0;
e170.. - x290 - x300 - x310 - x320 - x330 - x340 - x350 - x360 - x370 - x380
+ x390 - x400 =E= 0;
e171.. - x291 - x301 - x311 - x321 - x331 - x341 - x351 - x361 - x371 - x381
+ x391 - x401 =E= 0;
e172.. - x292 - x302 - x312 - x322 - x332 - x342 - x352 - x362 - x372 - x382
+ x392 - x402 =E= 0;
e173.. - x293 - x303 - x313 - x323 - x333 - x343 - x353 - x363 - x373 - x383
+ x393 - x403 =E= 0;
e174.. - x294 - x304 - x314 - x324 - x334 - x344 - x354 - x364 - x374 - x384
+ x394 - x404 =E= 0;
e175.. - x295 - x305 - x315 - x325 - x335 - x345 - x355 - x365 - x375 - x385
+ x395 - x405 =E= 0;
e176.. - x296 - x306 - x316 - x326 - x336 - x346 - x356 - x366 - x376 - x386
+ x396 - x406 =E= 0;
e177.. - x297 - x307 - x317 - x327 - x337 - x347 - x357 - x367 - x377 - x387
+ x397 - x407 =E= 0;
e178.. x408 + x409 + x410 + x411 + x412 + x413 + x414 + x415 + x416 + x417
+ x418 =E= 1;
e179.. x419 + x420 + x421 + x422 + x423 + x424 + x425 + x426 + x427 + x428
+ x429 =E= 1;
e180.. x430 + x431 + x432 + x433 + x434 + x435 + x436 + x437 + x438 + x439
+ x440 =E= 1;
e181.. x441 + x442 + x443 + x444 + x445 + x446 + x447 + x448 + x449 + x450
+ x451 =E= 1;
e182.. x452 + x453 + x454 + x455 + x456 + x457 + x458 + x459 + x460 + x461
+ x462 =E= 1;
e183.. x463 + x464 + x465 + x466 + x467 + x468 + x469 + x470 + x471 + x472
+ x473 =E= 1;
e184.. x474 + x475 + x476 + x477 + x478 + x479 + x480 + x481 + x482 + x483
+ x484 =E= 1;
e185.. x485 + x486 + x487 + x488 + x489 + x490 + x491 + x492 + x493 + x494
+ x495 =E= 1;
e186.. x496 + x497 + x498 + x499 + x500 + x501 + x502 + x503 + x504 + x505
+ x506 =E= 1;
e187.. x507 + x508 + x509 + x510 + x511 + x512 + x513 + x514 + x515 + x516
+ x517 =E= 1;
e188.. - 10*x177 + x178 + x189 + x200 + x211 + x222 + x398 + x399 + x400
+ x401 + x402 + x403 + x404 + x405 + x406 + x407 =L= 0;
e189.. x408*x388 - x288 =E= 0;
e190.. x409*x388 - x298 =E= 0;
e191.. x410*x388 - x308 =E= 0;
e192.. x411*x388 - x318 =E= 0;
e193.. x412*x388 - x328 =E= 0;
e194.. x413*x388 - x338 =E= 0;
e195.. x414*x388 - x348 =E= 0;
e196.. x415*x388 - x358 =E= 0;
e197.. x416*x388 - x368 =E= 0;
e198.. x417*x388 - x378 =E= 0;
e199.. x419*x389 - x289 =E= 0;
e200.. x420*x389 - x299 =E= 0;
e201.. x421*x389 - x309 =E= 0;
e202.. x422*x389 - x319 =E= 0;
e203.. x423*x389 - x329 =E= 0;
e204.. x424*x389 - x339 =E= 0;
e205.. x425*x389 - x349 =E= 0;
e206.. x426*x389 - x359 =E= 0;
e207.. x427*x389 - x369 =E= 0;
e208.. x428*x389 - x379 =E= 0;
e209.. x430*x390 - x290 =E= 0;
e210.. x431*x390 - x300 =E= 0;
e211.. x432*x390 - x310 =E= 0;
e212.. x433*x390 - x320 =E= 0;
e213.. x434*x390 - x330 =E= 0;
e214.. x435*x390 - x340 =E= 0;
e215.. x436*x390 - x350 =E= 0;
e216.. x437*x390 - x360 =E= 0;
e217.. x438*x390 - x370 =E= 0;
e218.. x439*x390 - x380 =E= 0;
e219.. x441*x391 - x291 =E= 0;
e220.. x442*x391 - x301 =E= 0;
e221.. x443*x391 - x311 =E= 0;
e222.. x444*x391 - x321 =E= 0;
e223.. x445*x391 - x331 =E= 0;
e224.. x446*x391 - x341 =E= 0;
e225.. x447*x391 - x351 =E= 0;
e226.. x448*x391 - x361 =E= 0;
e227.. x449*x391 - x371 =E= 0;
e228.. x450*x391 - x381 =E= 0;
e229.. x452*x392 - x292 =E= 0;
e230.. x453*x392 - x302 =E= 0;
e231.. x454*x392 - x312 =E= 0;
e232.. x455*x392 - x322 =E= 0;
e233.. x456*x392 - x332 =E= 0;
e234.. x457*x392 - x342 =E= 0;
e235.. x458*x392 - x352 =E= 0;
e236.. x459*x392 - x362 =E= 0;
e237.. x460*x392 - x372 =E= 0;
e238.. x461*x392 - x382 =E= 0;
e239.. x463*x393 - x293 =E= 0;
e240.. x464*x393 - x303 =E= 0;
e241.. x465*x393 - x313 =E= 0;
e242.. x466*x393 - x323 =E= 0;
e243.. x467*x393 - x333 =E= 0;
e244.. x468*x393 - x343 =E= 0;
e245.. x469*x393 - x353 =E= 0;
e246.. x470*x393 - x363 =E= 0;
e247.. x471*x393 - x373 =E= 0;
e248.. x472*x393 - x383 =E= 0;
e249.. x474*x394 - x294 =E= 0;
e250.. x475*x394 - x304 =E= 0;
e251.. x476*x394 - x314 =E= 0;
e252.. x477*x394 - x324 =E= 0;
e253.. x478*x394 - x334 =E= 0;
e254.. x479*x394 - x344 =E= 0;
e255.. x480*x394 - x354 =E= 0;
e256.. x481*x394 - x364 =E= 0;
e257.. x482*x394 - x374 =E= 0;
e258.. x483*x394 - x384 =E= 0;
e259.. x485*x395 - x295 =E= 0;
e260.. x486*x395 - x305 =E= 0;
e261.. x487*x395 - x315 =E= 0;
e262.. x488*x395 - x325 =E= 0;
e263.. x489*x395 - x335 =E= 0;
e264.. x490*x395 - x345 =E= 0;
e265.. x491*x395 - x355 =E= 0;
e266.. x492*x395 - x365 =E= 0;
e267.. x493*x395 - x375 =E= 0;
e268.. x494*x395 - x385 =E= 0;
e269.. x496*x396 - x296 =E= 0;
e270.. x497*x396 - x306 =E= 0;
e271.. x498*x396 - x316 =E= 0;
e272.. x499*x396 - x326 =E= 0;
e273.. x500*x396 - x336 =E= 0;
e274.. x501*x396 - x346 =E= 0;
e275.. x502*x396 - x356 =E= 0;
e276.. x503*x396 - x366 =E= 0;
e277.. x504*x396 - x376 =E= 0;
e278.. x505*x396 - x386 =E= 0;
e279.. x507*x397 - x297 =E= 0;
e280.. x508*x397 - x307 =E= 0;
e281.. x509*x397 - x317 =E= 0;
e282.. x510*x397 - x327 =E= 0;
e283.. x511*x397 - x337 =E= 0;
e284.. x512*x397 - x347 =E= 0;
e285.. x513*x397 - x357 =E= 0;
e286.. x514*x397 - x367 =E= 0;
e287.. x515*x397 - x377 =E= 0;
e288.. x516*x397 - x387 =E= 0;
e289.. x418*x388 - x398 =E= 0;
e290.. x429*x389 - x399 =E= 0;
e291.. x440*x390 - x400 =E= 0;
e292.. x451*x391 - x401 =E= 0;
e293.. x462*x392 - x402 =E= 0;
e294.. x473*x393 - x403 =E= 0;
e295.. x484*x394 - x404 =E= 0;
e296.. x495*x395 - x405 =E= 0;
e297.. x506*x396 - x406 =E= 0;
e298.. x517*x397 - x407 =E= 0;
e299.. x408*x2 - x67 =E= 0;
e300.. x409*x2 - x77 =E= 0;
e301.. x410*x2 - x87 =E= 0;
e302.. x411*x2 - x97 =E= 0;
e303.. x412*x2 - x107 =E= 0;
e304.. x413*x2 - x117 =E= 0;
e305.. x414*x2 - x127 =E= 0;
e306.. x415*x2 - x137 =E= 0;
e307.. x416*x2 - x147 =E= 0;
e308.. x417*x2 - x157 =E= 0;
e309.. x419*x3 - x68 =E= 0;
e310.. x420*x3 - x78 =E= 0;
e311.. x421*x3 - x88 =E= 0;
e312.. x422*x3 - x98 =E= 0;
e313.. x423*x3 - x108 =E= 0;
e314.. x424*x3 - x118 =E= 0;
e315.. x425*x3 - x128 =E= 0;
e316.. x426*x3 - x138 =E= 0;
e317.. x427*x3 - x148 =E= 0;
e318.. x428*x3 - x158 =E= 0;
e319.. x430*x4 - x69 =E= 0;
e320.. x431*x4 - x79 =E= 0;
e321.. x432*x4 - x89 =E= 0;
e322.. x433*x4 - x99 =E= 0;
e323.. x434*x4 - x109 =E= 0;
e324.. x435*x4 - x119 =E= 0;
e325.. x436*x4 - x129 =E= 0;
e326.. x437*x4 - x139 =E= 0;
e327.. x438*x4 - x149 =E= 0;
e328.. x439*x4 - x159 =E= 0;
e329.. x441*x5 - x70 =E= 0;
e330.. x442*x5 - x80 =E= 0;
e331.. x443*x5 - x90 =E= 0;
e332.. x444*x5 - x100 =E= 0;
e333.. x445*x5 - x110 =E= 0;
e334.. x446*x5 - x120 =E= 0;
e335.. x447*x5 - x130 =E= 0;
e336.. x448*x5 - x140 =E= 0;
e337.. x449*x5 - x150 =E= 0;
e338.. x450*x5 - x160 =E= 0;
e339.. x452*x6 - x71 =E= 0;
e340.. x453*x6 - x81 =E= 0;
e341.. x454*x6 - x91 =E= 0;
e342.. x455*x6 - x101 =E= 0;
e343.. x456*x6 - x111 =E= 0;
e344.. x457*x6 - x121 =E= 0;
e345.. x458*x6 - x131 =E= 0;
e346.. x459*x6 - x141 =E= 0;
e347.. x460*x6 - x151 =E= 0;
e348.. x461*x6 - x161 =E= 0;
e349.. x463*x7 - x72 =E= 0;
e350.. x464*x7 - x82 =E= 0;
e351.. x465*x7 - x92 =E= 0;
e352.. x466*x7 - x102 =E= 0;
e353.. x467*x7 - x112 =E= 0;
e354.. x468*x7 - x122 =E= 0;
e355.. x469*x7 - x132 =E= 0;
e356.. x470*x7 - x142 =E= 0;
e357.. x471*x7 - x152 =E= 0;
e358.. x472*x7 - x162 =E= 0;
e359.. x474*x8 - x73 =E= 0;
e360.. x475*x8 - x83 =E= 0;
e361.. x476*x8 - x93 =E= 0;
e362.. x477*x8 - x103 =E= 0;
e363.. x478*x8 - x113 =E= 0;
e364.. x479*x8 - x123 =E= 0;
e365.. x480*x8 - x133 =E= 0;
e366.. x481*x8 - x143 =E= 0;
e367.. x482*x8 - x153 =E= 0;
e368.. x483*x8 - x163 =E= 0;
e369.. x485*x9 - x74 =E= 0;
e370.. x486*x9 - x84 =E= 0;
e371.. x487*x9 - x94 =E= 0;
e372.. x488*x9 - x104 =E= 0;
e373.. x489*x9 - x114 =E= 0;
e374.. x490*x9 - x124 =E= 0;
e375.. x491*x9 - x134 =E= 0;
e376.. x492*x9 - x144 =E= 0;
e377.. x493*x9 - x154 =E= 0;
e378.. x494*x9 - x164 =E= 0;
e379.. x496*x10 - x75 =E= 0;
e380.. x497*x10 - x85 =E= 0;
e381.. x498*x10 - x95 =E= 0;
e382.. x499*x10 - x105 =E= 0;
e383.. x500*x10 - x115 =E= 0;
e384.. x501*x10 - x125 =E= 0;
e385.. x502*x10 - x135 =E= 0;
e386.. x503*x10 - x145 =E= 0;
e387.. x504*x10 - x155 =E= 0;
e388.. x505*x10 - x165 =E= 0;
e389.. x507*x11 - x76 =E= 0;
e390.. x508*x11 - x86 =E= 0;
e391.. x509*x11 - x96 =E= 0;
e392.. x510*x11 - x106 =E= 0;
e393.. x511*x11 - x116 =E= 0;
e394.. x512*x11 - x126 =E= 0;
e395.. x513*x11 - x136 =E= 0;
e396.. x514*x11 - x146 =E= 0;
e397.. x515*x11 - x156 =E= 0;
e398.. x516*x11 - x166 =E= 0;
e399.. x418*x2 - x167 =E= 0;
e400.. x429*x3 - x168 =E= 0;
e401.. x440*x4 - x169 =E= 0;
e402.. x451*x5 - x170 =E= 0;
e403.. x462*x6 - x171 =E= 0;
e404.. x473*x7 - x172 =E= 0;
e405.. x484*x8 - x173 =E= 0;
e406.. x495*x9 - x174 =E= 0;
e407.. x506*x10 - x175 =E= 0;
e408.. x517*x11 - x176 =E= 0;
* set non-default bounds
x2.up = 1000000;
x3.up = 1000000;
x4.up = 1000000;
x5.up = 1000000;
x6.up = 1000000;
x7.up = 1000000;
x8.up = 1000000;
x9.up = 1000000;
x10.up = 1000000;
x11.up = 1000000;
x12.up = 1000000;
x13.up = 1000000;
x14.up = 1000000;
x15.up = 1000000;
x16.up = 1000000;
x17.up = 1000000;
x18.up = 1000000;
x19.up = 1000000;
x20.up = 1000000;
x21.up = 1000000;
x22.up = 1000000;
x23.up = 1000000;
x24.up = 1000000;
x25.up = 1000000;
x26.up = 1000000;
x27.up = 1000000;
x28.up = 1000000;
x29.up = 1000000;
x30.up = 1000000;
x31.up = 1000000;
x32.up = 1000000;
x33.up = 1000000;
x34.up = 1000000;
x35.up = 1000000;
x36.up = 1000000;
x37.up = 1000000;
x38.up = 1000000;
x39.up = 1000000;
x40.up = 1000000;
x41.up = 1000000;
x42.up = 1000000;
x43.up = 1000000;
x44.up = 1000000;
x45.up = 1000000;
x46.up = 1000000;
x47.up = 1000000;
x48.up = 1000000;
x49.up = 1000000;
x50.up = 1000000;
x51.up = 1000000;
x52.up = 1000000;
x53.up = 1000000;
x54.up = 1000000;
x55.up = 1000000;
x56.up = 1000000;
x57.up = 1000000;
x58.up = 1000000;
x59.up = 1000000;
x60.up = 1000000;
x61.up = 1000000;
x62.up = 1000000;
x63.up = 1000000;
x64.up = 1000000;
x65.up = 1000000;
x66.up = 1000000;
x67.up = 1000000;
x68.up = 1000000;
x69.up = 1000000;
x70.up = 1000000;
x71.up = 1000000;
x72.up = 1000000;
x73.up = 1000000;
x74.up = 1000000;
x75.up = 1000000;
x76.up = 1000000;
x77.up = 1000000;
x78.up = 1000000;
x79.up = 1000000;
x80.up = 1000000;
x81.up = 1000000;
x82.up = 1000000;
x83.up = 1000000;
x84.up = 1000000;
x85.up = 1000000;
x86.up = 1000000;
x87.up = 1000000;
x88.up = 1000000;
x89.up = 1000000;
x90.up = 1000000;
x91.up = 1000000;
x92.up = 1000000;
x93.up = 1000000;
x94.up = 1000000;
x95.up = 1000000;
x96.up = 1000000;
x97.up = 1000000;
x98.up = 1000000;
x99.up = 1000000;
x100.up = 1000000;
x101.up = 1000000;
x102.up = 1000000;
x103.up = 1000000;
x104.up = 1000000;
x105.up = 1000000;
x106.up = 1000000;
x107.up = 1000000;
x108.up = 1000000;
x109.up = 1000000;
x110.up = 1000000;
x111.up = 1000000;
x112.up = 1000000;
x113.up = 1000000;
x114.up = 1000000;
x115.up = 1000000;
x116.up = 1000000;
x117.up = 1000000;
x118.up = 1000000;
x119.up = 1000000;
x120.up = 1000000;
x121.up = 1000000;
x122.up = 1000000;
x123.up = 1000000;
x124.up = 1000000;
x125.up = 1000000;
x126.up = 1000000;
x127.up = 1000000;
x128.up = 1000000;
x129.up = 1000000;
x130.up = 1000000;
x131.up = 1000000;
x132.up = 1000000;
x133.up = 1000000;
x134.up = 1000000;
x135.up = 1000000;
x136.up = 1000000;
x137.up = 1000000;
x138.up = 1000000;
x139.up = 1000000;
x140.up = 1000000;
x141.up = 1000000;
x142.up = 1000000;
x143.up = 1000000;
x144.up = 1000000;
x145.up = 1000000;
x146.up = 1000000;
x147.up = 1000000;
x148.up = 1000000;
x149.up = 1000000;
x150.up = 1000000;
x151.up = 1000000;
x152.up = 1000000;
x153.up = 1000000;
x154.up = 1000000;
x155.up = 1000000;
x156.up = 1000000;
x157.up = 1000000;
x158.up = 1000000;
x159.up = 1000000;
x160.up = 1000000;
x161.up = 1000000;
x162.up = 1000000;
x163.up = 1000000;
x164.up = 1000000;
x165.up = 1000000;
x166.up = 1000000;
x167.up = 1000000;
x168.up = 1000000;
x169.up = 1000000;
x170.up = 1000000;
x171.up = 1000000;
x172.up = 1000000;
x173.up = 1000000;
x174.up = 1000000;
x175.up = 1000000;
x176.up = 1000000;
x177.up = 1000000;
x178.up = 1000000;
x179.up = 1000000;
x180.up = 1000000;
x181.up = 1000000;
x182.up = 1000000;
x183.up = 1000000;
x184.up = 1000000;
x185.up = 1000000;
x186.up = 1000000;
x187.up = 1000000;
x188.up = 1000000;
x189.up = 1000000;
x190.up = 1000000;
x191.up = 1000000;
x192.up = 1000000;
x193.up = 1000000;
x194.up = 1000000;
x195.up = 1000000;
x196.up = 1000000;
x197.up = 1000000;
x198.up = 1000000;
x199.up = 1000000;
x200.up = 1000000;
x201.up = 1000000;
x202.up = 1000000;
x203.up = 1000000;
x204.up = 1000000;
x205.up = 1000000;
x206.up = 1000000;
x207.up = 1000000;
x208.up = 1000000;
x209.up = 1000000;
x210.up = 1000000;
x211.up = 1000000;
x212.up = 1000000;
x213.up = 1000000;
x214.up = 1000000;
x215.up = 1000000;
x216.up = 1000000;
x217.up = 1000000;
x218.up = 1000000;
x219.up = 1000000;
x220.up = 1000000;
x221.up = 1000000;
x222.up = 1000000;
x223.up = 1000000;
x224.up = 1000000;
x225.up = 1000000;
x226.up = 1000000;
x227.up = 1000000;
x228.up = 1000000;
x229.up = 1000000;
x230.up = 1000000;
x231.up = 1000000;
x232.up = 1000000;
x233.up = 1000000;
x234.up = 1000000;
x235.up = 1000000;
x236.up = 1000000;
x237.up = 1000000;
x238.up = 1000000;
x239.up = 1000000;
x240.up = 1000000;
x241.up = 1000000;
x242.up = 1000000;
x243.up = 1000000;
x244.up = 1000000;
x245.up = 1000000;
x246.up = 1000000;
x247.up = 1000000;
x248.up = 1000000;
x249.up = 1000000;
x250.up = 1000000;
x251.up = 1000000;
x252.up = 1000000;
x253.up = 1000000;
x254.up = 1000000;
x255.up = 1000000;
x256.up = 1000000;
x257.up = 1000000;
x258.up = 1000000;
x259.up = 1000000;
x260.up = 1000000;
x261.up = 1000000;
x262.up = 1000000;
x263.up = 1000000;
x264.up = 1000000;
x265.up = 1000000;
x266.up = 1000000;
x267.up = 1000000;
x268.up = 1000000;
x269.up = 1000000;
x270.up = 1000000;
x271.up = 1000000;
x272.up = 1000000;
x273.up = 1000000;
x274.up = 1000000;
x275.up = 1000000;
x276.up = 1000000;
x277.up = 1000000;
x278.up = 1000000;
x279.up = 1000000;
x280.up = 1000000;
x281.up = 1000000;
x282.up = 1000000;
x283.up = 1000000;
x284.up = 1000000;
x285.up = 1000000;
x286.up = 1000000;
x287.up = 1000000;
x288.up = 1000000;
x289.up = 1000000;
x290.up = 1000000;
x291.up = 1000000;
x292.up = 1000000;
x293.up = 1000000;
x294.up = 1000000;
x295.up = 1000000;
x296.up = 1000000;
x297.up = 1000000;
x298.up = 1000000;
x299.up = 1000000;
x300.up = 1000000;
x301.up = 1000000;
x302.up = 1000000;
x303.up = 1000000;
x304.up = 1000000;
x305.up = 1000000;
x306.up = 1000000;
x307.up = 1000000;
x308.up = 1000000;
x309.up = 1000000;
x310.up = 1000000;
x311.up = 1000000;
x312.up = 1000000;
x313.up = 1000000;
x314.up = 1000000;
x315.up = 1000000;
x316.up = 1000000;
x317.up = 1000000;
x318.up = 1000000;
x319.up = 1000000;
x320.up = 1000000;
x321.up = 1000000;
x322.up = 1000000;
x323.up = 1000000;
x324.up = 1000000;
x325.up = 1000000;
x326.up = 1000000;
x327.up = 1000000;
x328.up = 1000000;
x329.up = 1000000;
x330.up = 1000000;
x331.up = 1000000;
x332.up = 1000000;
x333.up = 1000000;
x334.up = 1000000;
x335.up = 1000000;
x336.up = 1000000;
x337.up = 1000000;
x338.up = 1000000;
x339.up = 1000000;
x340.up = 1000000;
x341.up = 1000000;
x342.up = 1000000;
x343.up = 1000000;
x344.up = 1000000;
x345.up = 1000000;
x346.up = 1000000;
x347.up = 1000000;
x348.up = 1000000;
x349.up = 1000000;
x350.up = 1000000;
x351.up = 1000000;
x352.up = 1000000;
x353.up = 1000000;
x354.up = 1000000;
x355.up = 1000000;
x356.up = 1000000;
x357.up = 1000000;
x358.up = 1000000;
x359.up = 1000000;
x360.up = 1000000;
x361.up = 1000000;
x362.up = 1000000;
x363.up = 1000000;
x364.up = 1000000;
x365.up = 1000000;
x366.up = 1000000;
x367.up = 1000000;
x368.up = 1000000;
x369.up = 1000000;
x370.up = 1000000;
x371.up = 1000000;
x372.up = 1000000;
x373.up = 1000000;
x374.up = 1000000;
x375.up = 1000000;
x376.up = 1000000;
x377.up = 1000000;
x378.up = 1000000;
x379.up = 1000000;
x380.up = 1000000;
x381.up = 1000000;
x382.up = 1000000;
x383.up = 1000000;
x384.up = 1000000;
x385.up = 1000000;
x386.up = 1000000;
x387.up = 1000000;
x388.up = 1000000;
x389.up = 1000000;
x390.up = 1000000;
x391.up = 1000000;
x392.up = 1000000;
x393.up = 1000000;
x394.up = 1000000;
x395.up = 1000000;
x396.up = 1000000;
x397.up = 1000000;
x398.up = 1000000;
x399.up = 1000000;
x400.up = 1000000;
x401.up = 1000000;
x402.up = 1000000;
x403.up = 1000000;
x404.up = 1000000;
x405.up = 1000000;
x406.up = 1000000;
x407.up = 1000000;
x408.up = 1000000;
x409.up = 1000000;
x410.up = 1000000;
x411.up = 1000000;
x412.up = 1000000;
x413.up = 1000000;
x414.up = 1000000;
x415.up = 1000000;
x416.up = 1000000;
x417.up = 1000000;
x418.up = 1000000;
x419.up = 1000000;
x420.up = 1000000;
x421.up = 1000000;
x422.up = 1000000;
x423.up = 1000000;
x424.up = 1000000;
x425.up = 1000000;
x426.up = 1000000;
x427.up = 1000000;
x428.up = 1000000;
x429.up = 1000000;
x430.up = 1000000;
x431.up = 1000000;
x432.up = 1000000;
x433.up = 1000000;
x434.up = 1000000;
x435.up = 1000000;
x436.up = 1000000;
x437.up = 1000000;
x438.up = 1000000;
x439.up = 1000000;
x440.up = 1000000;
x441.up = 1000000;
x442.up = 1000000;
x443.up = 1000000;
x444.up = 1000000;
x445.up = 1000000;
x446.up = 1000000;
x447.up = 1000000;
x448.up = 1000000;
x449.up = 1000000;
x450.up = 1000000;
x451.up = 1000000;
x452.up = 1000000;
x453.up = 1000000;
x454.up = 1000000;
x455.up = 1000000;
x456.up = 1000000;
x457.up = 1000000;
x458.up = 1000000;
x459.up = 1000000;
x460.up = 1000000;
x461.up = 1000000;
x462.up = 1000000;
x463.up = 1000000;
x464.up = 1000000;
x465.up = 1000000;
x466.up = 1000000;
x467.up = 1000000;
x468.up = 1000000;
x469.up = 1000000;
x470.up = 1000000;
x471.up = 1000000;
x472.up = 1000000;
x473.up = 1000000;
x474.up = 1000000;
x475.up = 1000000;
x476.up = 1000000;
x477.up = 1000000;
x478.up = 1000000;
x479.up = 1000000;
x480.up = 1000000;
x481.up = 1000000;
x482.up = 1000000;
x483.up = 1000000;
x484.up = 1000000;
x485.up = 1000000;
x486.up = 1000000;
x487.up = 1000000;
x488.up = 1000000;
x489.up = 1000000;
x490.up = 1000000;
x491.up = 1000000;
x492.up = 1000000;
x493.up = 1000000;
x494.up = 1000000;
x495.up = 1000000;
x496.up = 1000000;
x497.up = 1000000;
x498.up = 1000000;
x499.up = 1000000;
x500.up = 1000000;
x501.up = 1000000;
x502.up = 1000000;
x503.up = 1000000;
x504.up = 1000000;
x505.up = 1000000;
x506.up = 1000000;
x507.up = 1000000;
x508.up = 1000000;
x509.up = 1000000;
x510.up = 1000000;
x511.up = 1000000;
x512.up = 1000000;
x513.up = 1000000;
x514.up = 1000000;
x515.up = 1000000;
x516.up = 1000000;
x517.up = 1000000;
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
m.tolproj = 0.0;
$if not set QCP $set QCP QCP
Solve m using %QCP% minimizing objvar;
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