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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance blend721

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
13.52680000 p1 ( gdx sol )
(infeas: 1e-11)
Other points (infeas > 1e-08)  
Dual Bounds
13.52680000 (ANTIGONE)
13.52680000 (BARON)
14.23760000 (COUENNE)
13.52680000 (GUROBI)
13.52680000 (LINDO)
13.52680021 (SCIP)
14.33580000 (SHOT)
References Trespalacios, Francisco, Kolodziej, Scott P, Furman, Kevin C, and Sawaya, Nicolas W, Multiperiod Blend Scheduling Problem, 2013.
Source MPBP-721.gms from minlp.org model 168
Application Multiperiod Blend Scheduling
Added to library 25 Sep 2013
Problem type MBQCP
#Variables 222
#Binary Variables 87
#Integer Variables 0
#Nonlinear Variables 76
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 174
#Nonlinear Nonzeros in Objective 0
#Constraints 627
#Linear Constraints 603
#Quadratic Constraints 24
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1591
#Nonlinear Nonzeros in Jacobian 256
#Nonzeros in (Upper-Left) Hessian of Lagrangian 208
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 12
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 8
Average blocksize in Hessian of Lagrangian 6.333333
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 3.0000e-02
Maximal coefficient 4.8000e+00
Infeasibility of initial point 2.3
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
*        628       49      147      432        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        223      136       87        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1766     1510      256        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,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;

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;

Binary Variables  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;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628;


e1..    objvar + 0.57*x2 + 0.57*x3 + 0.57*x4 + 0.94*x5 + 0.94*x6 + 0.94*x7
      + 0.33*x8 + 0.33*x9 + 0.33*x10 + 0.33*x11 + 0.33*x12 + 0.33*x13
      - 3.59*x14 - 3.59*x15 - 3.59*x16 + 0.63*x17 + 0.63*x18 + 0.63*x19
      + 1.1*x20 + 1.1*x21 + 1.1*x22 + 0.64*x23 + 0.64*x24 + 0.64*x25 - 3.54*x26
      - 3.54*x27 - 3.54*x28 + 0.59*x29 + 0.59*x30 + 0.59*x31 + 0.6*x32
      + 0.6*x33 + 0.6*x34 + 0.22*x35 + 0.22*x36 + 0.22*x37 - 4.8*x38 - 4.8*x39
      - 4.8*x40 - 3.58*x41 - 3.58*x42 - 3.58*x43 + 0.09*x44 + 0.09*x45
      + 0.09*x46 + 0.8*x47 + 0.8*x48 + 0.8*x49 + 0.93*x50 + 0.93*x51 + 0.93*x52
      - 4.61*x53 - 4.61*x54 - 4.61*x55 - 3.76*x56 - 3.76*x57 - 3.76*x58
      + 0.96*x59 + 0.96*x60 + 0.96*x61 + 0.52*x62 + 0.52*x63 + 0.52*x64
      + 0.49*x65 + 0.49*x66 + 0.49*x67 - 4.42*x68 - 4.42*x69 - 4.42*x70
      - 3.63*x71 - 3.63*x72 - 3.63*x73 + 0.04*x74 + 0.04*x75 + 0.04*x76
      + 0.91*x77 + 0.91*x78 + 0.91*x79 + 0.1*x80 + 0.1*x81 + 0.1*x82 - 4.76*x83
      - 4.76*x84 - 4.76*x85 - 3.86*x86 - 3.86*x87 - 3.86*x88 + 0.3*b137
      + 0.3*b138 + 0.3*b139 + 0.23*b140 + 0.23*b141 + 0.23*b142 + 0.19*b143
      + 0.19*b144 + 0.19*b145 + 0.17*b146 + 0.17*b147 + 0.17*b148 + 0.44*b149
      + 0.44*b150 + 0.44*b151 + 0.92*b152 + 0.92*b153 + 0.92*b154 + 0.18*b155
      + 0.18*b156 + 0.18*b157 + 0.98*b158 + 0.98*b159 + 0.98*b160 + 0.11*b161
      + 0.11*b162 + 0.11*b163 + 0.41*b164 + 0.41*b165 + 0.41*b166 + 0.26*b167
      + 0.26*b168 + 0.26*b169 + 0.71*b170 + 0.71*b171 + 0.71*b172 + 0.12*b173
      + 0.12*b174 + 0.12*b175 + 0.32*b176 + 0.32*b177 + 0.32*b178 + 0.51*b179
      + 0.51*b180 + 0.51*b181 + 0.26*b182 + 0.26*b183 + 0.26*b184 + 0.03*b185
      + 0.03*b186 + 0.03*b187 + 0.73*b188 + 0.73*b189 + 0.73*b190 + 0.58*b191
      + 0.58*b192 + 0.58*b193 + 0.46*b194 + 0.46*b195 + 0.46*b196 + 0.55*b197
      + 0.55*b198 + 0.55*b199 + 0.23*b200 + 0.23*b201 + 0.23*b202 + 0.62*b203
      + 0.62*b204 + 0.62*b205 + 0.4*b206 + 0.4*b207 + 0.4*b208 + 0.99*b209
      + 0.99*b210 + 0.99*b211 + 0.89*b212 + 0.89*b213 + 0.89*b214 + 0.8*b215
      + 0.8*b216 + 0.8*b217 + 0.26*b218 + 0.26*b219 + 0.26*b220 + 0.68*b221
      + 0.68*b222 + 0.68*b223 =E= 0;

e2..    x2 + x5 + x8 + x11 + x14 + x113 =E= 1.3;

e3..    x17 + x20 + x23 + x26 + x116 =E= 2.3;

e4..  - x2 + x29 + x32 + x35 + x38 + x41 - x44 - x59 - x74 + x119 =E= 1.2;

e5..  - x5 - x17 - x29 + x44 + x47 + x50 + x53 + x56 - x62 - x77 + x122 =E= 1.1
     ;

e6..  - x8 - x20 - x32 - x47 + x59 + x62 + x65 + x68 + x71 - x80 + x125 =E= 0.3
     ;

e7..  - x11 - x23 - x35 - x50 - x65 + x74 + x77 + x80 + x83 + x86 + x128
      =E= 1.7;

e8..  - x38 - x53 - x68 - x83 + x131 =E= 1.18;

e9..  - x14 - x26 - x41 - x56 - x71 - x86 + x134 =E= 0.66;

e10.. x89*x119 - 0.4*x2 + 0.5*x29 + 0.5*x32 + 0.5*x35 + 0.5*x38 + 0.5*x41
       - 0.9*x44 - 0.1*x59 - 0.4*x74 =E= 0.6;

e11.. x92*x122 - 0.4*x5 - 0.1*x17 - 0.5*x29 + 0.9*x44 + 0.9*x47 + 0.9*x50
       + 0.9*x53 + 0.9*x56 - 0.1*x62 - 0.4*x77 =E= 0.99;

e12.. x95*x125 - 0.4*x8 - 0.1*x20 - 0.5*x32 - 0.9*x47 + 0.1*x59 + 0.1*x62
       + 0.1*x65 + 0.1*x68 + 0.1*x71 - 0.4*x80 =E= 0.03;

e13.. x98*x128 - 0.4*x11 - 0.1*x23 - 0.5*x35 - 0.9*x50 - 0.1*x65 + 0.4*x74
       + 0.4*x77 + 0.4*x80 + 0.4*x83 + 0.4*x86 =E= 0.68;

e14.. x101*x119 - 0.1*x2 + 0.3*x29 + 0.3*x32 + 0.3*x35 + 0.3*x38 + 0.3*x41
       - 0.4*x44 - 0.8*x59 - 0.2*x74 =E= 0.36;

e15.. x104*x122 - 0.1*x5 - 0.9*x17 - 0.3*x29 + 0.4*x44 + 0.4*x47 + 0.4*x50
       + 0.4*x53 + 0.4*x56 - 0.8*x62 - 0.2*x77 =E= 0.44;

e16.. x107*x125 - 0.1*x8 - 0.9*x20 - 0.3*x32 - 0.4*x47 + 0.8*x59 + 0.8*x62
       + 0.8*x65 + 0.8*x68 + 0.8*x71 - 0.2*x80 =E= 0.24;

e17.. x110*x128 - 0.1*x11 - 0.9*x23 - 0.3*x35 - 0.4*x50 - 0.8*x65 + 0.2*x74
       + 0.2*x77 + 0.2*x80 + 0.2*x83 + 0.2*x86 =E= 0.34;

e18..    x3 + x6 + x9 + x12 + x15 - x113 + x114 =E= 0.1;

e19..    x4 + x7 + x10 + x13 + x16 - x114 + x115 =E= 0.4;

e20..    x18 + x21 + x24 + x27 - x116 + x117 =E= 0.2;

e21..    x19 + x22 + x25 + x28 - x117 + x118 =E= 0.8;

e22..  - x3 + x30 + x33 + x36 + x39 + x42 - x45 - x60 - x75 - x119 + x120 =E= 0
      ;

e23..  - x4 + x31 + x34 + x37 + x40 + x43 - x46 - x61 - x76 - x120 + x121 =E= 0
      ;

e24..  - x6 - x18 - x30 + x45 + x48 + x51 + x54 + x57 - x63 - x78 - x122 + x123
       =E= 0;

e25..  - x7 - x19 - x31 + x46 + x49 + x52 + x55 + x58 - x64 - x79 - x123 + x124
       =E= 0;

e26..  - x9 - x21 - x33 - x48 + x60 + x63 + x66 + x69 + x72 - x81 - x125 + x126
       =E= 0;

e27..  - x10 - x22 - x34 - x49 + x61 + x64 + x67 + x70 + x73 - x82 - x126
       + x127 =E= 0;

e28..  - x12 - x24 - x36 - x51 - x66 + x75 + x78 + x81 + x84 + x87 - x128
       + x129 =E= 0;

e29..  - x13 - x25 - x37 - x52 - x67 + x76 + x79 + x82 + x85 + x88 - x129
       + x130 =E= 0;

e30..  - x39 - x54 - x69 - x84 - x131 + x132 =E= -0.17;

e31..  - x40 - x55 - x70 - x85 - x132 + x133 =E= -0.73;

e32..  - x15 - x27 - x42 - x57 - x72 - x87 - x134 + x135 =E= -0.65;

e33..  - x16 - x28 - x43 - x58 - x73 - x88 - x135 + x136 =E= -0.65;

e34.. x90*x120 - (x89*x119 + x92*x45 + x95*x60 + x98*x75 - (x89*x30 + x89*x33
       + x89*x36 + x89*x39 + x89*x42)) - 0.4*x3 =E= 0;

e35.. x91*x121 - (x90*x120 + x93*x46 + x96*x61 + x99*x76 - (x90*x31 + x90*x34
       + x90*x37 + x90*x40 + x90*x43)) - 0.4*x4 =E= 0;

e36.. x93*x123 - (x92*x122 + x89*x30 + x95*x63 + x98*x78 - (x92*x45 + x92*x48
       + x92*x51 + x92*x54 + x92*x57)) - 0.4*x6 - 0.1*x18 =E= 0;

e37.. x94*x124 - (x93*x123 + x90*x31 + x96*x64 + x99*x79 - (x93*x46 + x93*x49
       + x93*x52 + x93*x55 + x93*x58)) - 0.4*x7 - 0.1*x19 =E= 0;

e38.. x96*x126 - (x95*x125 + x89*x33 + x92*x48 + x98*x81 - (x95*x60 + x95*x63
       + x95*x66 + x95*x69 + x95*x72)) - 0.4*x9 - 0.1*x21 =E= 0;

e39.. x97*x127 - (x96*x126 + x90*x34 + x93*x49 + x99*x82 - (x96*x61 + x96*x64
       + x96*x67 + x96*x70 + x96*x73)) - 0.4*x10 - 0.1*x22 =E= 0;

e40.. x99*x129 - (x98*x128 + x89*x36 + x92*x51 + x95*x66 - (x98*x75 + x98*x78
       + x98*x81 + x98*x84 + x98*x87)) - 0.4*x12 - 0.1*x24 =E= 0;

e41.. x100*x130 - (x99*x129 + x90*x37 + x93*x52 + x96*x67 - (x99*x76 + x99*x79
       + x99*x82 + x99*x85 + x99*x88)) - 0.4*x13 - 0.1*x25 =E= 0;

e42.. x102*x120 - (x101*x119 + x104*x45 + x107*x60 + x110*x75 - (x101*x30 + 
      x101*x33 + x101*x36 + x101*x39 + x101*x42)) - 0.1*x3 =E= 0;

e43.. x103*x121 - (x102*x120 + x105*x46 + x108*x61 + x111*x76 - (x102*x31 + 
      x102*x34 + x102*x37 + x102*x40 + x102*x43)) - 0.1*x4 =E= 0;

e44.. x105*x123 - (x104*x122 + x101*x30 + x107*x63 + x110*x78 - (x104*x45 + 
      x104*x48 + x104*x51 + x104*x54 + x104*x57)) - 0.1*x6 - 0.9*x18 =E= 0;

e45.. x106*x124 - (x105*x123 + x102*x31 + x108*x64 + x111*x79 - (x105*x46 + 
      x105*x49 + x105*x52 + x105*x55 + x105*x58)) - 0.1*x7 - 0.9*x19 =E= 0;

e46.. x108*x126 - (x107*x125 + x101*x33 + x104*x48 + x110*x81 - (x107*x60 + 
      x107*x63 + x107*x66 + x107*x69 + x107*x72)) - 0.1*x9 - 0.9*x21 =E= 0;

e47.. x109*x127 - (x108*x126 + x102*x34 + x105*x49 + x111*x82 - (x108*x61 + 
      x108*x64 + x108*x67 + x108*x70 + x108*x73)) - 0.1*x10 - 0.9*x22 =E= 0;

e48.. x111*x129 - (x110*x128 + x101*x36 + x104*x51 + x107*x66 - (x110*x75 + 
      x110*x78 + x110*x81 + x110*x84 + x110*x87)) - 0.1*x12 - 0.9*x24 =E= 0;

e49.. x112*x130 - (x111*x129 + x102*x37 + x105*x52 + x108*x67 - (x111*x76 + 
      x111*x79 + x111*x82 + x111*x85 + x111*x88)) - 0.1*x13 - 0.9*x25 =E= 0;

e50..    x2 - b137 =L= 0;

e51..    x3 - b138 =L= 0;

e52..    x4 - b139 =L= 0;

e53..    x5 - b140 =L= 0;

e54..    x6 - b141 =L= 0;

e55..    x7 - b142 =L= 0;

e56..    x8 - b143 =L= 0;

e57..    x9 - b144 =L= 0;

e58..    x10 - b145 =L= 0;

e59..    x11 - b146 =L= 0;

e60..    x12 - b147 =L= 0;

e61..    x13 - b148 =L= 0;

e62..    x14 - b149 =L= 0;

e63..    x15 - b150 =L= 0;

e64..    x16 - b151 =L= 0;

e65..    x17 - b152 =L= 0;

e66..    x18 - b153 =L= 0;

e67..    x19 - b154 =L= 0;

e68..    x20 - b155 =L= 0;

e69..    x21 - b156 =L= 0;

e70..    x22 - b157 =L= 0;

e71..    x23 - b158 =L= 0;

e72..    x24 - b159 =L= 0;

e73..    x25 - b160 =L= 0;

e74..    x26 - b161 =L= 0;

e75..    x27 - b162 =L= 0;

e76..    x28 - b163 =L= 0;

e77..    x29 - b164 =L= 0;

e78..    x30 - b165 =L= 0;

e79..    x31 - b166 =L= 0;

e80..    x32 - b167 =L= 0;

e81..    x33 - b168 =L= 0;

e82..    x34 - b169 =L= 0;

e83..    x35 - b170 =L= 0;

e84..    x36 - b171 =L= 0;

e85..    x37 - b172 =L= 0;

e86..    x38 - b173 =L= 0;

e87..    x39 - b174 =L= 0;

e88..    x40 - b175 =L= 0;

e89..    x41 - b176 =L= 0;

e90..    x42 - b177 =L= 0;

e91..    x43 - b178 =L= 0;

e92..    x44 - b179 =L= 0;

e93..    x45 - b180 =L= 0;

e94..    x46 - b181 =L= 0;

e95..    x47 - b182 =L= 0;

e96..    x48 - b183 =L= 0;

e97..    x49 - b184 =L= 0;

e98..    x50 - b185 =L= 0;

e99..    x51 - b186 =L= 0;

e100..    x52 - b187 =L= 0;

e101..    x53 - b188 =L= 0;

e102..    x54 - b189 =L= 0;

e103..    x55 - b190 =L= 0;

e104..    x56 - b191 =L= 0;

e105..    x57 - b192 =L= 0;

e106..    x58 - b193 =L= 0;

e107..    x59 - b194 =L= 0;

e108..    x60 - b195 =L= 0;

e109..    x61 - b196 =L= 0;

e110..    x62 - b197 =L= 0;

e111..    x63 - b198 =L= 0;

e112..    x64 - b199 =L= 0;

e113..    x65 - b200 =L= 0;

e114..    x66 - b201 =L= 0;

e115..    x67 - b202 =L= 0;

e116..    x68 - b203 =L= 0;

e117..    x69 - b204 =L= 0;

e118..    x70 - b205 =L= 0;

e119..    x71 - b206 =L= 0;

e120..    x72 - b207 =L= 0;

e121..    x73 - b208 =L= 0;

e122..    x74 - b209 =L= 0;

e123..    x75 - b210 =L= 0;

e124..    x76 - b211 =L= 0;

e125..    x77 - b212 =L= 0;

e126..    x78 - b213 =L= 0;

e127..    x79 - b214 =L= 0;

e128..    x80 - b215 =L= 0;

e129..    x81 - b216 =L= 0;

e130..    x82 - b217 =L= 0;

e131..    x83 - b218 =L= 0;

e132..    x84 - b219 =L= 0;

e133..    x85 - b220 =L= 0;

e134..    x86 - b221 =L= 0;

e135..    x87 - b222 =L= 0;

e136..    x88 - b223 =L= 0;

e137..    x2 =G= 0;

e138..    x3 =G= 0;

e139..    x4 =G= 0;

e140..    x5 =G= 0;

e141..    x6 =G= 0;

e142..    x7 =G= 0;

e143..    x8 =G= 0;

e144..    x9 =G= 0;

e145..    x10 =G= 0;

e146..    x11 =G= 0;

e147..    x12 =G= 0;

e148..    x13 =G= 0;

e149..    x14 =G= 0;

e150..    x15 =G= 0;

e151..    x16 =G= 0;

e152..    x17 =G= 0;

e153..    x18 =G= 0;

e154..    x19 =G= 0;

e155..    x20 =G= 0;

e156..    x21 =G= 0;

e157..    x22 =G= 0;

e158..    x23 =G= 0;

e159..    x24 =G= 0;

e160..    x25 =G= 0;

e161..    x26 =G= 0;

e162..    x27 =G= 0;

e163..    x28 =G= 0;

e164..    x29 =G= 0;

e165..    x30 =G= 0;

e166..    x31 =G= 0;

e167..    x32 =G= 0;

e168..    x33 =G= 0;

e169..    x34 =G= 0;

e170..    x35 =G= 0;

e171..    x36 =G= 0;

e172..    x37 =G= 0;

e173..    x38 =G= 0;

e174..    x39 =G= 0;

e175..    x40 =G= 0;

e176..    x41 =G= 0;

e177..    x42 =G= 0;

e178..    x43 =G= 0;

e179..    x44 =G= 0;

e180..    x45 =G= 0;

e181..    x46 =G= 0;

e182..    x47 =G= 0;

e183..    x48 =G= 0;

e184..    x49 =G= 0;

e185..    x50 =G= 0;

e186..    x51 =G= 0;

e187..    x52 =G= 0;

e188..    x53 =G= 0;

e189..    x54 =G= 0;

e190..    x55 =G= 0;

e191..    x56 =G= 0;

e192..    x57 =G= 0;

e193..    x58 =G= 0;

e194..    x59 =G= 0;

e195..    x60 =G= 0;

e196..    x61 =G= 0;

e197..    x62 =G= 0;

e198..    x63 =G= 0;

e199..    x64 =G= 0;

e200..    x65 =G= 0;

e201..    x66 =G= 0;

e202..    x67 =G= 0;

e203..    x68 =G= 0;

e204..    x69 =G= 0;

e205..    x70 =G= 0;

e206..    x71 =G= 0;

e207..    x72 =G= 0;

e208..    x73 =G= 0;

e209..    x74 =G= 0;

e210..    x75 =G= 0;

e211..    x76 =G= 0;

e212..    x77 =G= 0;

e213..    x78 =G= 0;

e214..    x79 =G= 0;

e215..    x80 =G= 0;

e216..    x81 =G= 0;

e217..    x82 =G= 0;

e218..    x83 =G= 0;

e219..    x84 =G= 0;

e220..    x85 =G= 0;

e221..    x86 =G= 0;

e222..    x87 =G= 0;

e223..    x88 =G= 0;

e224..    b149 =L= 1.2;

e225..    b150 =L= 1.2;

e226..    b151 =L= 1.2;

e227..    b161 =L= 0.9;

e228..    b162 =L= 0.9;

e229..    b163 =L= 0.9;

e230..    b149 =L= 0.7;

e231..    b150 =L= 0.7;

e232..    b151 =L= 0.7;

e233..    b161 =L= 1.5;

e234..    b162 =L= 1.5;

e235..    b163 =L= 1.5;

e236..  - b149 =G= -1.5;

e237..  - b150 =G= -1.5;

e238..  - b151 =G= -1.5;

e239..  - b161 =G= -1.8;

e240..  - b162 =G= -1.8;

e241..  - b163 =G= -1.8;

e242..  - b149 =G= -1.6;

e243..  - b150 =G= -1.6;

e244..  - b151 =G= -1.6;

e245..  - b161 =G= -0.8;

e246..  - b162 =G= -0.8;

e247..  - b163 =G= -0.8;

e248..  - x89 + b174 =L= 0.9;

e249..  - x90 + b175 =L= 0.9;

e250..  - x89 + b177 =L= 0.8;

e251..  - x90 + b178 =L= 0.8;

e252..  - x92 + b189 =L= 0.9;

e253..  - x93 + b190 =L= 0.9;

e254..  - x92 + b192 =L= 0.8;

e255..  - x93 + b193 =L= 0.8;

e256..  - x95 + b204 =L= 0.9;

e257..  - x96 + b205 =L= 0.9;

e258..  - x95 + b207 =L= 0.8;

e259..  - x96 + b208 =L= 0.8;

e260..  - x98 + b219 =L= 0.9;

e261..  - x99 + b220 =L= 0.9;

e262..  - x98 + b222 =L= 0.8;

e263..  - x99 + b223 =L= 0.8;

e264..  - x101 + b174 =L= 0.8;

e265..  - x102 + b175 =L= 0.8;

e266..  - x101 + b177 =L= 0.6;

e267..  - x102 + b178 =L= 0.6;

e268..  - x104 + b189 =L= 0.8;

e269..  - x105 + b190 =L= 0.8;

e270..  - x104 + b192 =L= 0.6;

e271..  - x105 + b193 =L= 0.6;

e272..  - x107 + b204 =L= 0.8;

e273..  - x108 + b205 =L= 0.8;

e274..  - x107 + b207 =L= 0.6;

e275..  - x108 + b208 =L= 0.6;

e276..  - x110 + b219 =L= 0.8;

e277..  - x111 + b220 =L= 0.8;

e278..  - x110 + b222 =L= 0.6;

e279..  - x111 + b223 =L= 0.6;

e280..  - x89 - b174 =G= -1.4;

e281..  - x90 - b175 =G= -1.4;

e282..  - x89 - b177 =G= -1.9;

e283..  - x90 - b178 =G= -1.9;

e284..  - x92 - b189 =G= -1.4;

e285..  - x93 - b190 =G= -1.4;

e286..  - x92 - b192 =G= -1.9;

e287..  - x93 - b193 =G= -1.9;

e288..  - x95 - b204 =G= -1.4;

e289..  - x96 - b205 =G= -1.4;

e290..  - x95 - b207 =G= -1.9;

e291..  - x96 - b208 =G= -1.9;

e292..  - x98 - b219 =G= -1.4;

e293..  - x99 - b220 =G= -1.4;

e294..  - x98 - b222 =G= -1.9;

e295..  - x99 - b223 =G= -1.9;

e296..  - x101 - b174 =G= -2;

e297..  - x102 - b175 =G= -2;

e298..  - x101 - b177 =G= -1.7;

e299..  - x102 - b178 =G= -1.7;

e300..  - x104 - b189 =G= -2;

e301..  - x105 - b190 =G= -2;

e302..  - x104 - b192 =G= -1.7;

e303..  - x105 - b193 =G= -1.7;

e304..  - x107 - b204 =G= -2;

e305..  - x108 - b205 =G= -2;

e306..  - x107 - b207 =G= -1.7;

e307..  - x108 - b208 =G= -1.7;

e308..  - x110 - b219 =G= -2;

e309..  - x111 - b220 =G= -2;

e310..  - x110 - b222 =G= -1.7;

e311..  - x111 - b223 =G= -1.7;

e312..    b173 =L= 1.4;

e313..    b176 =L= 1.3;

e314..    b188 =L= 1.8;

e315..    b191 =L= 1.7;

e316..    b203 =L= 1;

e317..    b206 =L= 0.9;

e318..    b218 =L= 1.3;

e319..    b221 =L= 1.2;

e320..    b173 =L= 1.1;

e321..    b176 =L= 0.9;

e322..    b188 =L= 1.2;

e323..    b191 =L= 1;

e324..    b203 =L= 1.6;

e325..    b206 =L= 1.4;

e326..    b218 =L= 1;

e327..    b221 =L= 0.8;

e328..  - b173 =G= -0.9;

e329..  - b176 =G= -1.4;

e330..  - b188 =G= -0.5;

e331..  - b191 =G= -1;

e332..  - b203 =G= -1.3;

e333..  - b206 =G= -1.8;

e334..  - b218 =G= -1;

e335..  - b221 =G= -1.5;

e336..  - b173 =G= -1.7;

e337..  - b176 =G= -1.4;

e338..  - b188 =G= -1.6;

e339..  - b191 =G= -1.3;

e340..  - b203 =G= -1.2;

e341..  - b206 =G= -0.9;

e342..  - b218 =G= -1.8;

e343..  - b221 =G= -1.5;

e344..    b137 + b164 =L= 1;

e345..    b138 + b165 =L= 1;

e346..    b139 + b166 =L= 1;

e347..    b137 + b167 =L= 1;

e348..    b138 + b168 =L= 1;

e349..    b139 + b169 =L= 1;

e350..    b137 + b170 =L= 1;

e351..    b138 + b171 =L= 1;

e352..    b139 + b172 =L= 1;

e353..    b137 + b173 =L= 1;

e354..    b138 + b174 =L= 1;

e355..    b139 + b175 =L= 1;

e356..    b137 + b176 =L= 1;

e357..    b138 + b177 =L= 1;

e358..    b139 + b178 =L= 1;

e359..    b164 + b179 =L= 1;

e360..    b165 + b180 =L= 1;

e361..    b166 + b181 =L= 1;

e362..    b167 + b179 =L= 1;

e363..    b168 + b180 =L= 1;

e364..    b169 + b181 =L= 1;

e365..    b170 + b179 =L= 1;

e366..    b171 + b180 =L= 1;

e367..    b172 + b181 =L= 1;

e368..    b173 + b179 =L= 1;

e369..    b174 + b180 =L= 1;

e370..    b175 + b181 =L= 1;

e371..    b176 + b179 =L= 1;

e372..    b177 + b180 =L= 1;

e373..    b178 + b181 =L= 1;

e374..    b164 + b194 =L= 1;

e375..    b165 + b195 =L= 1;

e376..    b166 + b196 =L= 1;

e377..    b167 + b194 =L= 1;

e378..    b168 + b195 =L= 1;

e379..    b169 + b196 =L= 1;

e380..    b170 + b194 =L= 1;

e381..    b171 + b195 =L= 1;

e382..    b172 + b196 =L= 1;

e383..    b173 + b194 =L= 1;

e384..    b174 + b195 =L= 1;

e385..    b175 + b196 =L= 1;

e386..    b176 + b194 =L= 1;

e387..    b177 + b195 =L= 1;

e388..    b178 + b196 =L= 1;

e389..    b164 + b209 =L= 1;

e390..    b165 + b210 =L= 1;

e391..    b166 + b211 =L= 1;

e392..    b167 + b209 =L= 1;

e393..    b168 + b210 =L= 1;

e394..    b169 + b211 =L= 1;

e395..    b170 + b209 =L= 1;

e396..    b171 + b210 =L= 1;

e397..    b172 + b211 =L= 1;

e398..    b173 + b209 =L= 1;

e399..    b174 + b210 =L= 1;

e400..    b175 + b211 =L= 1;

e401..    b176 + b209 =L= 1;

e402..    b177 + b210 =L= 1;

e403..    b178 + b211 =L= 1;

e404..    b140 + b179 =L= 1;

e405..    b141 + b180 =L= 1;

e406..    b142 + b181 =L= 1;

e407..    b140 + b182 =L= 1;

e408..    b141 + b183 =L= 1;

e409..    b142 + b184 =L= 1;

e410..    b140 + b185 =L= 1;

e411..    b141 + b186 =L= 1;

e412..    b142 + b187 =L= 1;

e413..    b140 + b188 =L= 1;

e414..    b141 + b189 =L= 1;

e415..    b142 + b190 =L= 1;

e416..    b140 + b191 =L= 1;

e417..    b141 + b192 =L= 1;

e418..    b142 + b193 =L= 1;

e419..    b152 + b179 =L= 1;

e420..    b153 + b180 =L= 1;

e421..    b154 + b181 =L= 1;

e422..    b152 + b182 =L= 1;

e423..    b153 + b183 =L= 1;

e424..    b154 + b184 =L= 1;

e425..    b152 + b185 =L= 1;

e426..    b153 + b186 =L= 1;

e427..    b154 + b187 =L= 1;

e428..    b152 + b188 =L= 1;

e429..    b153 + b189 =L= 1;

e430..    b154 + b190 =L= 1;

e431..    b152 + b191 =L= 1;

e432..    b153 + b192 =L= 1;

e433..    b154 + b193 =L= 1;

e434..    b164 + b179 =L= 1;

e435..    b165 + b180 =L= 1;

e436..    b166 + b181 =L= 1;

e437..    b164 + b182 =L= 1;

e438..    b165 + b183 =L= 1;

e439..    b166 + b184 =L= 1;

e440..    b164 + b185 =L= 1;

e441..    b165 + b186 =L= 1;

e442..    b166 + b187 =L= 1;

e443..    b164 + b188 =L= 1;

e444..    b165 + b189 =L= 1;

e445..    b166 + b190 =L= 1;

e446..    b164 + b191 =L= 1;

e447..    b165 + b192 =L= 1;

e448..    b166 + b193 =L= 1;

e449..    b179 + b197 =L= 1;

e450..    b180 + b198 =L= 1;

e451..    b181 + b199 =L= 1;

e452..    b182 + b197 =L= 1;

e453..    b183 + b198 =L= 1;

e454..    b184 + b199 =L= 1;

e455..    b185 + b197 =L= 1;

e456..    b186 + b198 =L= 1;

e457..    b187 + b199 =L= 1;

e458..    b188 + b197 =L= 1;

e459..    b189 + b198 =L= 1;

e460..    b190 + b199 =L= 1;

e461..    b191 + b197 =L= 1;

e462..    b192 + b198 =L= 1;

e463..    b193 + b199 =L= 1;

e464..    b179 + b212 =L= 1;

e465..    b180 + b213 =L= 1;

e466..    b181 + b214 =L= 1;

e467..    b182 + b212 =L= 1;

e468..    b183 + b213 =L= 1;

e469..    b184 + b214 =L= 1;

e470..    b185 + b212 =L= 1;

e471..    b186 + b213 =L= 1;

e472..    b187 + b214 =L= 1;

e473..    b188 + b212 =L= 1;

e474..    b189 + b213 =L= 1;

e475..    b190 + b214 =L= 1;

e476..    b191 + b212 =L= 1;

e477..    b192 + b213 =L= 1;

e478..    b193 + b214 =L= 1;

e479..    b143 + b194 =L= 1;

e480..    b144 + b195 =L= 1;

e481..    b145 + b196 =L= 1;

e482..    b143 + b197 =L= 1;

e483..    b144 + b198 =L= 1;

e484..    b145 + b199 =L= 1;

e485..    b143 + b200 =L= 1;

e486..    b144 + b201 =L= 1;

e487..    b145 + b202 =L= 1;

e488..    b143 + b203 =L= 1;

e489..    b144 + b204 =L= 1;

e490..    b145 + b205 =L= 1;

e491..    b143 + b206 =L= 1;

e492..    b144 + b207 =L= 1;

e493..    b145 + b208 =L= 1;

e494..    b155 + b194 =L= 1;

e495..    b156 + b195 =L= 1;

e496..    b157 + b196 =L= 1;

e497..    b155 + b197 =L= 1;

e498..    b156 + b198 =L= 1;

e499..    b157 + b199 =L= 1;

e500..    b155 + b200 =L= 1;

e501..    b156 + b201 =L= 1;

e502..    b157 + b202 =L= 1;

e503..    b155 + b203 =L= 1;

e504..    b156 + b204 =L= 1;

e505..    b157 + b205 =L= 1;

e506..    b155 + b206 =L= 1;

e507..    b156 + b207 =L= 1;

e508..    b157 + b208 =L= 1;

e509..    b167 + b194 =L= 1;

e510..    b168 + b195 =L= 1;

e511..    b169 + b196 =L= 1;

e512..    b167 + b197 =L= 1;

e513..    b168 + b198 =L= 1;

e514..    b169 + b199 =L= 1;

e515..    b167 + b200 =L= 1;

e516..    b168 + b201 =L= 1;

e517..    b169 + b202 =L= 1;

e518..    b167 + b203 =L= 1;

e519..    b168 + b204 =L= 1;

e520..    b169 + b205 =L= 1;

e521..    b167 + b206 =L= 1;

e522..    b168 + b207 =L= 1;

e523..    b169 + b208 =L= 1;

e524..    b182 + b194 =L= 1;

e525..    b183 + b195 =L= 1;

e526..    b184 + b196 =L= 1;

e527..    b182 + b197 =L= 1;

e528..    b183 + b198 =L= 1;

e529..    b184 + b199 =L= 1;

e530..    b182 + b200 =L= 1;

e531..    b183 + b201 =L= 1;

e532..    b184 + b202 =L= 1;

e533..    b182 + b203 =L= 1;

e534..    b183 + b204 =L= 1;

e535..    b184 + b205 =L= 1;

e536..    b182 + b206 =L= 1;

e537..    b183 + b207 =L= 1;

e538..    b184 + b208 =L= 1;

e539..    b194 + b215 =L= 1;

e540..    b195 + b216 =L= 1;

e541..    b196 + b217 =L= 1;

e542..    b197 + b215 =L= 1;

e543..    b198 + b216 =L= 1;

e544..    b199 + b217 =L= 1;

e545..    b200 + b215 =L= 1;

e546..    b201 + b216 =L= 1;

e547..    b202 + b217 =L= 1;

e548..    b203 + b215 =L= 1;

e549..    b204 + b216 =L= 1;

e550..    b205 + b217 =L= 1;

e551..    b206 + b215 =L= 1;

e552..    b207 + b216 =L= 1;

e553..    b208 + b217 =L= 1;

e554..    b146 + b209 =L= 1;

e555..    b147 + b210 =L= 1;

e556..    b148 + b211 =L= 1;

e557..    b146 + b212 =L= 1;

e558..    b147 + b213 =L= 1;

e559..    b148 + b214 =L= 1;

e560..    b146 + b215 =L= 1;

e561..    b147 + b216 =L= 1;

e562..    b148 + b217 =L= 1;

e563..    b146 + b218 =L= 1;

e564..    b147 + b219 =L= 1;

e565..    b148 + b220 =L= 1;

e566..    b146 + b221 =L= 1;

e567..    b147 + b222 =L= 1;

e568..    b148 + b223 =L= 1;

e569..    b158 + b209 =L= 1;

e570..    b159 + b210 =L= 1;

e571..    b160 + b211 =L= 1;

e572..    b158 + b212 =L= 1;

e573..    b159 + b213 =L= 1;

e574..    b160 + b214 =L= 1;

e575..    b158 + b215 =L= 1;

e576..    b159 + b216 =L= 1;

e577..    b160 + b217 =L= 1;

e578..    b158 + b218 =L= 1;

e579..    b159 + b219 =L= 1;

e580..    b160 + b220 =L= 1;

e581..    b158 + b221 =L= 1;

e582..    b159 + b222 =L= 1;

e583..    b160 + b223 =L= 1;

e584..    b170 + b209 =L= 1;

e585..    b171 + b210 =L= 1;

e586..    b172 + b211 =L= 1;

e587..    b170 + b212 =L= 1;

e588..    b171 + b213 =L= 1;

e589..    b172 + b214 =L= 1;

e590..    b170 + b215 =L= 1;

e591..    b171 + b216 =L= 1;

e592..    b172 + b217 =L= 1;

e593..    b170 + b218 =L= 1;

e594..    b171 + b219 =L= 1;

e595..    b172 + b220 =L= 1;

e596..    b170 + b221 =L= 1;

e597..    b171 + b222 =L= 1;

e598..    b172 + b223 =L= 1;

e599..    b185 + b209 =L= 1;

e600..    b186 + b210 =L= 1;

e601..    b187 + b211 =L= 1;

e602..    b185 + b212 =L= 1;

e603..    b186 + b213 =L= 1;

e604..    b187 + b214 =L= 1;

e605..    b185 + b215 =L= 1;

e606..    b186 + b216 =L= 1;

e607..    b187 + b217 =L= 1;

e608..    b185 + b218 =L= 1;

e609..    b186 + b219 =L= 1;

e610..    b187 + b220 =L= 1;

e611..    b185 + b221 =L= 1;

e612..    b186 + b222 =L= 1;

e613..    b187 + b223 =L= 1;

e614..    b200 + b209 =L= 1;

e615..    b201 + b210 =L= 1;

e616..    b202 + b211 =L= 1;

e617..    b200 + b212 =L= 1;

e618..    b201 + b213 =L= 1;

e619..    b202 + b214 =L= 1;

e620..    b200 + b215 =L= 1;

e621..    b201 + b216 =L= 1;

e622..    b202 + b217 =L= 1;

e623..    b200 + b218 =L= 1;

e624..    b201 + b219 =L= 1;

e625..    b202 + b220 =L= 1;

e626..    b200 + b221 =L= 1;

e627..    b201 + b222 =L= 1;

e628..    b202 + b223 =L= 1;

* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 1;
x91.up = 1;
x92.up = 1;
x93.up = 1;
x94.up = 1;
x95.up = 1;
x96.up = 1;
x97.up = 1;
x98.up = 1;
x99.up = 1;
x100.up = 1;
x101.up = 1;
x102.up = 1;
x103.up = 1;
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 2;
x114.up = 2;
x115.up = 2;
x116.up = 2;
x117.up = 2;
x118.up = 2;
x119.up = 2;
x120.up = 2;
x121.up = 2;
x122.up = 2;
x123.up = 2;
x124.up = 2;
x125.up = 2;
x126.up = 2;
x127.up = 2;
x128.up = 2;
x129.up = 2;
x130.up = 2;
x131.up = 2;
x132.up = 2;
x133.up = 2;
x134.up = 2;
x135.up = 2;
x136.up = 2;

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;


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