#  QCP written by GAMS Convert at 02/15/18 15:46:20
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         87       75       12        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        157      157        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       1008      438      570        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 100000;
var x3 >= 0, <= 100000;
var x4 >= 0, <= 100000;
var x5 >= 0, <= 100000;
var x6 >= 0, <= 100000;
var x7 >= 0, <= 100000;
var x8 >= 0, <= 100000;
var x9 >= 0, <= 100000;
var x10 >= 0, <= 100000;
var x11 >= 0, <= 100000;
var x12 >= 0, <= 100000;
var x13 >= 0, <= 100000;
var x14 >= 0, <= 100000;
var x15 >= 0, <= 100000;
var x16 >= 0, <= 100000;
var x17 >= 0, <= 100000;
var x18 >= 0, <= 100000;
var x19 >= 0, <= 100000;
var x20 >= 0, <= 100000;
var x21 >= 0, <= 100000;
var x22 >= 0, <= 100000;
var x23 >= 0, <= 100000;
var x24 >= 0, <= 100000;
var x25 >= 0, <= 100000;
var x26 >= 0, <= 100000;
var x27 >= 0, <= 100000;
var x28 >= 0, <= 100000;
var x29 >= 0, <= 100000;
var x30 >= 0, <= 100000;
var x31 >= 0, <= 100000;
var x32 >= 0, <= 100000;
var x33 >= 0, <= 100000;
var x34 >= 0, <= 100000;
var x35 >= 0, <= 100000;
var x36 >= 0, <= 100000;
var x37 >= 0, <= 45;
var x38 >= 0, <= 52;
var x39 >= 0, <= 189;
var x40 >= 0, <= 33;
var x41 >= 0, <= 210;
var x42 >= 0, <= 24;
var x43 >= 0, <= 120;
var x44 >= 0, <= 30;
var x45 >= 0, <= 30;
var x46 >= 0, <= 12234;
var x47 >= 0, <= 98;
var x48 >= 0, <= 656;
var x49 >= 0, <= 142;
var x50 >= 0, <= 420;
var x51 >= 0, <= 200;
var x52 >= 0, <= 13;
var x53 >= 0, <= 637;
var x54 >= 0, <= 24;
var x55 >= 0, <= 20;
var x56 >= 0, <= 25;
var x57 >= 0, <= 15;
var x58 >= 0, <= 25;
var x59 >= 0, <= 454;
var x60 >= 0, <= 256;
var x61 >= 0, <= 350;
var x62 >= 0, <= 48;
var x63 >= 0, <= 260;
var x64 >= 0, <= 21;
var x65 >= 0, <= 278;
var x66 >= 0, <= 12;
var x67 >= 0, <= 139;
var x68 >= 0, <= 400;
var x69 >= 0, <= 435;
var x70 >= 0, <= 37;
var x71 >= 0, <= 378;
var x72 >= 0, <= 124;
var x73 >= 0, <= 245;
var x74 >= 0, <= 125;
var x75 >= 0, <= 85;
var x76 >= 0, <= 14728;
var x77 >= 0, <= 124;
var x78 >= 0, <= 754;
var x79 >= 0, <= 222;
var x80 >= 0, <= 459;
var x81 >= 0, <= 567;
var x82 >= 0, <= 56;
var x83 >= 0, <= 768;
var x84 >= 0, <= 58;
var x85 >= 0, <= 47;
var x86 >= 0, <= 367;
var x87 >= 0, <= 320;
var x88 >= 0, <= 433;
var x89 >= 0, <= 589;
var x90 >= 0, <= 467;
var x91 >= 0, <= 850;
var x92 >= 0, <= 3560;
var x93 >= 0, <= 400;
var x94 >= 0, <= 56;
var x95 >= 0, <= 436;
var x96 >= 0, <= 90;
var x97 >= 0, <= 64;
var x98 >= 0, <= 100000;
var x99 >= 0, <= 100000;
var x100 >= 0, <= 100000;
var x101 >= 0, <= 100000;
var x102 >= 0, <= 100000;
var x103 >= 0, <= 100000;
var x104 >= 0, <= 100000;
var x105 >= 0, <= 34;
var x106 >= 0, <= 100000;
var x107 >= 0, <= 100000;
var x108 >= 0, <= 100000;
var x109 >= 0, <= 100000;
var x110 >= 0, <= 100000;
var x111 >= 0, <= 100000;
var x112 >= 0, <= 100000;
var x113 >= 0, <= 126;
var x114 >= 0, <= 100000;
var x115 >= 0, <= 100000;
var x116 >= 0, <= 100000;
var x117 >= 0, <= 100000;
var x118 >= 0, <= 100000;
var x119 >= 0, <= 100000;
var x120 >= 0, <= 100000;
var x121 >= 0, <= 28;
var x122 >= 0, <= 100000;
var x123 >= 0, <= 100000;
var x124 >= 0, <= 100000;
var x125 >= 0, <= 100000;
var x126 >= 0, <= 100000;
var x127 >= 0, <= 100000;
var x128 >= 0, <= 100000;
var x129 >= 0, <= 120;
var x130 >= 0, <= 100000;
var x131 >= 0, <= 100000;
var x132 >= 0, <= 100000;
var x133 >= 0, <= 100000;
var x134 >= 0, <= 100000;
var x135 >= 0, <= 100000;
var x136 >= 0, <= 100000;
var x137 >= 0, <= 100000;
var x138 >= 0, <= 100000;
var x139 >= 0, <= 100000;
var x140 >= 0, <= 100000;
var x141 >= 0, <= 100000;
var x142 >= 0, <= 100000;
var x143 >= 0, <= 100000;
var x144 >= 0, <= 100000;
var x145 >= 0, <= 100000;
var x146 >= 0, <= 100000;
var x147 >= 0, <= 100000;
var x148 >= 0, <= 100000;
var x149 >= 0, <= 100000;
var x150 >= 0, <= 100000;
var x151 >= 0, <= 100000;
var x152 >= 0, <= 100000;
var x153 >= 0, <= 100000;
var x154 >= 0, <= 100000;
var x155 >= 0, <= 100000;
var x156 >= 0, <= 100000;
var x157 >= 0, <= 100000;

minimize obj:    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;

subject to

e2:  - x2 - x9 - x16 - x23 - x30 + x97 - x98 - x99 - x100 - x101 - x102 - x103
     - x104 = 0;

e3:  - x3 - x10 - x17 - x24 - x31 + x105 - x106 - x107 - x108 - x109 - x110
     - x111 - x112 = 0;

e4:  - x4 - x11 - x18 - x25 - x32 + x113 - x114 - x115 - x116 - x117 - x118
     - x119 - x120 = 0;

e5:  - x5 - x12 - x19 - x26 - x33 + x121 - x122 - x123 - x124 - x125 - x126
     - x127 - x128 = 0;

e6:  - x6 - x13 - x20 - x27 - x34 + x129 - x130 - x131 - x132 - x133 - x134
     - x135 - x136 = 0;

e7:  - x7 - x14 - x21 - x28 - x35 - x137 - x138 - x139 - x140 - x141 - x142
     - x143 = -68;

e8:  - x8 - x15 - x22 - x29 - x36 - x144 - x145 - x146 - x147 - x148 - x149
     - x150 = -70;

e9:    x97 - x98 - x106 - x114 - x122 - x130 - x137 - x144 - x151 = 0;

e10:  - x99 + x105 - x107 - x115 - x123 - x131 - x138 - x145 - x152 = 0;

e11:  - x100 - x108 + x113 - x116 - x124 - x132 - x139 - x146 - x153 = 0;

e12:  - x101 - x109 - x117 + x121 - x125 - x133 - x140 - x147 - x154 = 0;

e13:  - x102 - x110 - x118 - x126 + x129 - x134 - x141 - x148 - x155 = 0;

e14:  - x103 - x111 - x119 - x127 - x135 - x142 - x149 - x156 = -58;

e15:  - x104 - x112 - x120 - x128 - x136 - x143 - x150 - x157 = -120;

e16: x97*x37 - x98*x67 - x99*x73 - x100*x79 - x101*x85 - x102*x91 - 4*x2 - 4*x9
      - 4*x23 - 2*x30 - 112*x103 - 491*x104 = 0;

e17: x97*x38 - x98*x68 - x99*x74 - x100*x80 - x101*x86 - x102*x92 - 5*x2 - 6*x9
      - 6*x16 - 6*x30 - 429*x103 - 476*x104 = 0;

e18: x97*x39 - x98*x69 - x99*x75 - x100*x81 - x101*x87 - x102*x93 - 2*x9
      - 4*x16 - 2*x23 - 2*x30 - 505*x103 - 197*x104 = 0;

e19: x97*x40 - x98*x70 - x99*x76 - x100*x82 - x101*x88 - x102*x94 - 8*x2 - 7*x9
      - 5*x16 - 7*x23 - 5*x30 - 266*x103 - 493*x104 = 0;

e20: x97*x41 - x98*x71 - x99*x77 - x100*x83 - x101*x89 - x102*x95 - 2*x9 - x16
      - 2*x23 - 3*x30 - 481*x103 - 399*x104 = 0;

e21: x97*x42 - x98*x72 - x99*x78 - x100*x84 - x101*x90 - x102*x96 - 4*x2 - x16
      - x30 - 505*x103 - 495*x104 = 0;

e22: x105*x43 - x106*x67 - x107*x73 - x108*x79 - x109*x85 - x110*x91 - 4*x3
      - 4*x10 - 4*x24 - 2*x31 - 112*x111 - 491*x112 = 0;

e23: x105*x44 - x106*x68 - x107*x74 - x108*x80 - x109*x86 - x110*x92 - 5*x3
      - 6*x10 - 6*x17 - 6*x31 - 429*x111 - 476*x112 = 0;

e24: x105*x45 - x106*x69 - x107*x75 - x108*x81 - x109*x87 - x110*x93 - 2*x10
      - 4*x17 - 2*x24 - 2*x31 - 505*x111 - 197*x112 = 0;

e25: x105*x46 - x106*x70 - x107*x76 - x108*x82 - x109*x88 - x110*x94 - 8*x3
      - 7*x10 - 5*x17 - 7*x24 - 5*x31 - 266*x111 - 493*x112 = 0;

e26: x105*x47 - x106*x71 - x107*x77 - x108*x83 - x109*x89 - x110*x95 - 2*x10
      - x17 - 2*x24 - 3*x31 - 481*x111 - 399*x112 = 0;

e27: x105*x48 - x106*x72 - x107*x78 - x108*x84 - x109*x90 - x110*x96 - 4*x3
      - x17 - x31 - 505*x111 - 495*x112 = 0;

e28: x113*x49 - x114*x67 - x115*x73 - x116*x79 - x117*x85 - x118*x91 - 4*x4
      - 4*x11 - 4*x25 - 2*x32 - 112*x119 - 491*x120 = 0;

e29: x113*x50 - x114*x68 - x115*x74 - x116*x80 - x117*x86 - x118*x92 - 5*x4
      - 6*x11 - 6*x18 - 6*x32 - 429*x119 - 476*x120 = 0;

e30: x113*x51 - x114*x69 - x115*x75 - x116*x81 - x117*x87 - x118*x93 - 2*x11
      - 4*x18 - 2*x25 - 2*x32 - 505*x119 - 197*x120 = 0;

e31: x113*x52 - x114*x70 - x115*x76 - x116*x82 - x117*x88 - x118*x94 - 8*x4
      - 7*x11 - 5*x18 - 7*x25 - 5*x32 - 266*x119 - 493*x120 = 0;

e32: x113*x53 - x114*x71 - x115*x77 - x116*x83 - x117*x89 - x118*x95 - 2*x11
      - x18 - 2*x25 - 3*x32 - 481*x119 - 399*x120 = 0;

e33: x113*x54 - x114*x72 - x115*x78 - x116*x84 - x117*x90 - x118*x96 - 4*x4
      - x18 - x32 - 505*x119 - 495*x120 = 0;

e34: x121*x55 - x122*x67 - x123*x73 - x124*x79 - x125*x85 - x126*x91 - 4*x5
      - 4*x12 - 4*x26 - 2*x33 - 112*x127 - 491*x128 = 0;

e35: x121*x56 - x122*x68 - x123*x74 - x124*x80 - x125*x86 - x126*x92 - 5*x5
      - 6*x12 - 6*x19 - 6*x33 - 429*x127 - 476*x128 = 0;

e36: x121*x57 - x122*x69 - x123*x75 - x124*x81 - x125*x87 - x126*x93 - 2*x12
      - 4*x19 - 2*x26 - 2*x33 - 505*x127 - 197*x128 = 0;

e37: x121*x58 - x122*x70 - x123*x76 - x124*x82 - x125*x88 - x126*x94 - 8*x5
      - 7*x12 - 5*x19 - 7*x26 - 5*x33 - 266*x127 - 493*x128 = 0;

e38: x121*x59 - x122*x71 - x123*x77 - x124*x83 - x125*x89 - x126*x95 - 2*x12
      - x19 - 2*x26 - 3*x33 - 481*x127 - 399*x128 = 0;

e39: x121*x60 - x122*x72 - x123*x78 - x124*x84 - x125*x90 - x126*x96 - 4*x5
      - x19 - x33 - 505*x127 - 495*x128 = 0;

e40: x129*x61 - x130*x67 - x131*x73 - x132*x79 - x133*x85 - x134*x91 - 4*x6
      - 4*x13 - 4*x27 - 2*x34 - 112*x135 - 491*x136 = 0;

e41: x129*x62 - x130*x68 - x131*x74 - x132*x80 - x133*x86 - x134*x92 - 5*x6
      - 6*x13 - 6*x20 - 6*x34 - 429*x135 - 476*x136 = 0;

e42: x129*x63 - x130*x69 - x131*x75 - x132*x81 - x133*x87 - x134*x93 - 2*x13
      - 4*x20 - 2*x27 - 2*x34 - 505*x135 - 197*x136 = 0;

e43: x129*x64 - x130*x70 - x131*x76 - x132*x82 - x133*x88 - x134*x94 - 8*x6
      - 7*x13 - 5*x20 - 7*x27 - 5*x34 - 266*x135 - 493*x136 = 0;

e44: x129*x65 - x130*x71 - x131*x77 - x132*x83 - x133*x89 - x134*x95 - 2*x13
      - x20 - 2*x27 - 3*x34 - 481*x135 - 399*x136 = 0;

e45: x129*x66 - x130*x72 - x131*x78 - x132*x84 - x133*x90 - x134*x96 - 4*x6
      - x20 - x34 - 505*x135 - 495*x136 = 0;

e46: (-x137*x67) - x138*x73 - x139*x79 - x140*x85 - x141*x91 - 4*x7 - 4*x14
      - 4*x28 - 2*x35 - 112*x142 - 491*x143 >= -2924;

e47: (-x137*x68) - x138*x74 - x139*x80 - x140*x86 - x141*x92 - 5*x7 - 6*x14
      - 6*x21 - 6*x35 - 429*x142 - 476*x143 >= -23256;

e48: (-x137*x69) - x138*x75 - x139*x81 - x140*x87 - x141*x93 - 2*x14 - 4*x21
      - 2*x28 - 2*x35 - 505*x142 - 197*x143 >= -15776;

e49: (-x137*x70) - x138*x76 - x139*x82 - x140*x88 - x141*x94 - 8*x7 - 7*x14
      - 5*x21 - 7*x28 - 5*x35 - 266*x142 - 493*x143 >= -18020;

e50: (-x137*x71) - x138*x77 - x139*x83 - x140*x89 - x141*x95 - 2*x14 - x21
      - 2*x28 - 3*x35 - 481*x142 - 399*x143 >= -26724;

e51: (-x137*x72) - x138*x78 - x139*x84 - x140*x90 - x141*x96 - 4*x7 - x21 - x35
      - 505*x142 - 495*x143 >= -20332;

e52: (-x144*x67) - x145*x73 - x146*x79 - x147*x85 - x148*x91 - 4*x8 - 4*x15
      - 4*x29 - 2*x36 - 112*x149 - 491*x150 >= -31640;

e53: (-x144*x68) - x145*x74 - x146*x80 - x147*x86 - x148*x92 - 5*x8 - 6*x15
      - 6*x22 - 6*x36 - 429*x149 - 476*x150 >= -4480;

e54: (-x144*x69) - x145*x75 - x146*x81 - x147*x87 - x148*x93 - 2*x15 - 4*x22
      - 2*x29 - 2*x36 - 505*x149 - 197*x150 >= -700;

e55: (-x144*x70) - x145*x76 - x146*x82 - x147*x88 - x148*x94 - 8*x8 - 7*x15
      - 5*x22 - 7*x29 - 5*x36 - 266*x149 - 493*x150 >= -23380;

e56: (-x144*x71) - x145*x77 - x146*x83 - x147*x89 - x148*x95 - 2*x15 - x22
      - 2*x29 - 3*x36 - 481*x149 - 399*x150 >= -10010;

e57: (-x144*x72) - x145*x78 - x146*x84 - x147*x90 - x148*x96 - 4*x8 - x22 - x36
      - 505*x149 - 495*x150 >= -17080;

e58: x97*x37 - x97*x67 = -6016;

e59: x97*x38 - x97*x68 = -22272;

e60: x97*x39 - x97*x69 = -15744;

e61: x97*x40 - x97*x70 = -256;

e62: x97*x41 - x97*x71 = -10752;

e63: x97*x42 - x97*x72 = -6400;

e64: x105*x43 - x105*x73 = -4250;

e65: x105*x44 - x105*x74 = -3230;

e66: x105*x45 - x105*x75 = -1870;

e67: x105*x46 - x105*x76 = -84796;

e68: x105*x47 - x105*x77 = -884;

e69: x105*x48 - x105*x78 = -3332;

e70: x113*x49 - x113*x79 = -10080;

e71: x113*x50 - x113*x80 = -4914;

e72: x113*x51 - x113*x81 = -46242;

e73: x113*x52 - x113*x82 = -5418;

e74: x113*x53 - x113*x83 = -16506;

e75: x113*x54 - x113*x84 = -4284;

e76: x121*x55 - x121*x85 = -756;

e77: x121*x56 - x121*x86 = -9576;

e78: x121*x57 - x121*x87 = -8540;

e79: x121*x58 - x121*x88 = -11424;

e80: x121*x59 - x121*x89 = -3780;

e81: x121*x60 - x121*x90 = -5908;

e82: x129*x61 - x129*x91 = -60000;

e83: x129*x62 - x129*x92 = -421440;

e84: x129*x63 - x129*x93 = -16800;

e85: x129*x64 - x129*x94 = -4200;

e86: x129*x65 - x129*x95 = -18960;

e87: x129*x66 - x129*x96 = -9360;