#  QCP written by GAMS Convert at 02/15/18 15:46:55
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         81       63       18        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        137      137        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        878      422      456        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, <= 45;
var x31 >= 0, <= 52;
var x32 >= 0, <= 189;
var x33 >= 0, <= 33;
var x34 >= 0, <= 210;
var x35 >= 0, <= 24;
var x36 >= 0, <= 120;
var x37 >= 0, <= 30;
var x38 >= 0, <= 30;
var x39 >= 0, <= 12234;
var x40 >= 0, <= 98;
var x41 >= 0, <= 656;
var x42 >= 0, <= 142;
var x43 >= 0, <= 420;
var x44 >= 0, <= 200;
var x45 >= 0, <= 13;
var x46 >= 0, <= 637;
var x47 >= 0, <= 24;
var x48 >= 0, <= 20;
var x49 >= 0, <= 25;
var x50 >= 0, <= 15;
var x51 >= 0, <= 25;
var x52 >= 0, <= 454;
var x53 >= 0, <= 256;
var x54 >= 0, <= 139;
var x55 >= 0, <= 400;
var x56 >= 0, <= 435;
var x57 >= 0, <= 37;
var x58 >= 0, <= 378;
var x59 >= 0, <= 124;
var x60 >= 0, <= 245;
var x61 >= 0, <= 125;
var x62 >= 0, <= 85;
var x63 >= 0, <= 14728;
var x64 >= 0, <= 124;
var x65 >= 0, <= 754;
var x66 >= 0, <= 222;
var x67 >= 0, <= 459;
var x68 >= 0, <= 567;
var x69 >= 0, <= 56;
var x70 >= 0, <= 768;
var x71 >= 0, <= 58;
var x72 >= 0, <= 47;
var x73 >= 0, <= 367;
var x74 >= 0, <= 320;
var x75 >= 0, <= 433;
var x76 >= 0, <= 589;
var x77 >= 0, <= 467;
var x78 >= 0, <= 64;
var x79 >= 0, <= 100000;
var x80 >= 0, <= 100000;
var x81 >= 0, <= 100000;
var x82 >= 0, <= 100000;
var x83 >= 0, <= 100000;
var x84 >= 0, <= 100000;
var x85 >= 0, <= 100000;
var x86 >= 0, <= 34;
var x87 >= 0, <= 100000;
var x88 >= 0, <= 100000;
var x89 >= 0, <= 100000;
var x90 >= 0, <= 100000;
var x91 >= 0, <= 100000;
var x92 >= 0, <= 100000;
var x93 >= 0, <= 100000;
var x94 >= 0, <= 126;
var x95 >= 0, <= 100000;
var x96 >= 0, <= 100000;
var x97 >= 0, <= 100000;
var x98 >= 0, <= 100000;
var x99 >= 0, <= 100000;
var x100 >= 0, <= 100000;
var x101 >= 0, <= 100000;
var x102 >= 0, <= 128;
var x103 >= 0, <= 100000;
var x104 >= 0, <= 100000;
var x105 >= 0, <= 100000;
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, <= 100000;
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, <= 100000;
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, <= 100000;
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;

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;

subject to

e2:  - x2 - x9 - x16 - x23 + x78 - x79 - x80 - x81 - x82 - x83 - x84 - x85 = 0;

e3:  - x3 - x10 - x17 - x24 + x86 - x87 - x88 - x89 - x90 - x91 - x92 - x93
     = 0;

e4:  - x4 - x11 - x18 - x25 + x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101
     = 0;

e5:  - x5 - x12 - x19 - x26 + x102 - x103 - x104 - x105 - x106 - x107 - x108
     - x109 = 0;

e6:  - x6 - x13 - x20 - x27 - x110 - x111 - x112 - x113 - x114 - x115 - x116
     = -120;

e7:  - x7 - x14 - x21 - x28 - x117 - x118 - x119 - x120 - x121 - x122 - x123
     = -68;

e8:  - x8 - x15 - x22 - x29 - x124 - x125 - x126 - x127 - x128 - x129 - x130
     = -130;

e9:    x78 - x79 - x87 - x95 - x103 - x110 - x117 - x124 - x131 = 0;

e10:  - x80 + x86 - x88 - x96 - x104 - x111 - x118 - x125 - x132 = 0;

e11:  - x81 - x89 + x94 - x97 - x105 - x112 - x119 - x126 - x133 = 0;

e12:  - x82 - x90 - x98 + x102 - x106 - x113 - x120 - x127 - x134 = 0;

e13:  - x83 - x91 - x99 - x107 - x114 - x121 - x128 - x135 = -80;

e14:  - x84 - x92 - x100 - x108 - x115 - x122 - x129 - x136 = -58;

e15:  - x85 - x93 - x101 - x109 - x116 - x123 - x130 - x137 = -120;

e16: x78*x30 - x79*x54 - x80*x60 - x81*x66 - x82*x72 - 4*x2 - 4*x9 - 4*x23
      - 850*x83 - 112*x84 - 491*x85 = 0;

e17: x78*x31 - x79*x55 - x80*x61 - x81*x67 - x82*x73 - 5*x2 - 6*x9 - 6*x16
      - 3560*x83 - 429*x84 - 476*x85 = 0;

e18: x78*x32 - x79*x56 - x80*x62 - x81*x68 - x82*x74 - 2*x9 - 4*x16 - 2*x23
      - 400*x83 - 505*x84 - 197*x85 = 0;

e19: x78*x33 - x79*x57 - x80*x63 - x81*x69 - x82*x75 - 8*x2 - 7*x9 - 5*x16
      - 7*x23 - 56*x83 - 266*x84 - 493*x85 = 0;

e20: x78*x34 - x79*x58 - x80*x64 - x81*x70 - x82*x76 - 2*x9 - x16 - 2*x23
      - 436*x83 - 481*x84 - 399*x85 = 0;

e21: x78*x35 - x79*x59 - x80*x65 - x81*x71 - x82*x77 - 4*x2 - x16 - 90*x83
      - 505*x84 - 495*x85 = 0;

e22: x86*x36 - x87*x54 - x88*x60 - x89*x66 - x90*x72 - 4*x3 - 4*x10 - 4*x24
      - 850*x91 - 112*x92 - 491*x93 = 0;

e23: x86*x37 - x87*x55 - x88*x61 - x89*x67 - x90*x73 - 5*x3 - 6*x10 - 6*x17
      - 3560*x91 - 429*x92 - 476*x93 = 0;

e24: x86*x38 - x87*x56 - x88*x62 - x89*x68 - x90*x74 - 2*x10 - 4*x17 - 2*x24
      - 400*x91 - 505*x92 - 197*x93 = 0;

e25: x86*x39 - x87*x57 - x88*x63 - x89*x69 - x90*x75 - 8*x3 - 7*x10 - 5*x17
      - 7*x24 - 56*x91 - 266*x92 - 493*x93 = 0;

e26: x86*x40 - x87*x58 - x88*x64 - x89*x70 - x90*x76 - 2*x10 - x17 - 2*x24
      - 436*x91 - 481*x92 - 399*x93 = 0;

e27: x86*x41 - x87*x59 - x88*x65 - x89*x71 - x90*x77 - 4*x3 - x17 - 90*x91
      - 505*x92 - 495*x93 = 0;

e28: x94*x42 - x95*x54 - x96*x60 - x97*x66 - x98*x72 - 4*x4 - 4*x11 - 4*x25
      - 850*x99 - 112*x100 - 491*x101 = 0;

e29: x94*x43 - x95*x55 - x96*x61 - x97*x67 - x98*x73 - 5*x4 - 6*x11 - 6*x18
      - 3560*x99 - 429*x100 - 476*x101 = 0;

e30: x94*x44 - x95*x56 - x96*x62 - x97*x68 - x98*x74 - 2*x11 - 4*x18 - 2*x25
      - 400*x99 - 505*x100 - 197*x101 = 0;

e31: x94*x45 - x95*x57 - x96*x63 - x97*x69 - x98*x75 - 8*x4 - 7*x11 - 5*x18
      - 7*x25 - 56*x99 - 266*x100 - 493*x101 = 0;

e32: x94*x46 - x95*x58 - x96*x64 - x97*x70 - x98*x76 - 2*x11 - x18 - 2*x25
      - 436*x99 - 481*x100 - 399*x101 = 0;

e33: x94*x47 - x95*x59 - x96*x65 - x97*x71 - x98*x77 - 4*x4 - x18 - 90*x99
      - 505*x100 - 495*x101 = 0;

e34: x102*x48 - x103*x54 - x104*x60 - x105*x66 - x106*x72 - 4*x5 - 4*x12
      - 4*x26 - 850*x107 - 112*x108 - 491*x109 = 0;

e35: x102*x49 - x103*x55 - x104*x61 - x105*x67 - x106*x73 - 5*x5 - 6*x12
      - 6*x19 - 3560*x107 - 429*x108 - 476*x109 = 0;

e36: x102*x50 - x103*x56 - x104*x62 - x105*x68 - x106*x74 - 2*x12 - 4*x19
      - 2*x26 - 400*x107 - 505*x108 - 197*x109 = 0;

e37: x102*x51 - x103*x57 - x104*x63 - x105*x69 - x106*x75 - 8*x5 - 7*x12
      - 5*x19 - 7*x26 - 56*x107 - 266*x108 - 493*x109 = 0;

e38: x102*x52 - x103*x58 - x104*x64 - x105*x70 - x106*x76 - 2*x12 - x19 - 2*x26
      - 436*x107 - 481*x108 - 399*x109 = 0;

e39: x102*x53 - x103*x59 - x104*x65 - x105*x71 - x106*x77 - 4*x5 - x19
      - 90*x107 - 505*x108 - 495*x109 = 0;

e40: (-x110*x54) - x111*x60 - x112*x66 - x113*x72 - 4*x6 - 4*x13 - 4*x27
      - 850*x114 - 112*x115 - 491*x116 >= -42000;

e41: (-x110*x55) - x111*x61 - x112*x67 - x113*x73 - 5*x6 - 6*x13 - 6*x20
      - 3560*x114 - 429*x115 - 476*x116 >= -5760;

e42: (-x110*x56) - x111*x62 - x112*x68 - x113*x74 - 2*x13 - 4*x20 - 2*x27
      - 400*x114 - 505*x115 - 197*x116 >= -31200;

e43: (-x110*x57) - x111*x63 - x112*x69 - x113*x75 - 8*x6 - 7*x13 - 5*x20
      - 7*x27 - 56*x114 - 266*x115 - 493*x116 >= -2520;

e44: (-x110*x58) - x111*x64 - x112*x70 - x113*x76 - 2*x13 - x20 - 2*x27
      - 436*x114 - 481*x115 - 399*x116 >= -33360;

e45: (-x110*x59) - x111*x65 - x112*x71 - x113*x77 - 4*x6 - x20 - 90*x114
      - 505*x115 - 495*x116 >= -1440;

e46: (-x117*x54) - x118*x60 - x119*x66 - x120*x72 - 4*x7 - 4*x14 - 4*x28
      - 850*x121 - 112*x122 - 491*x123 >= -2924;

e47: (-x117*x55) - x118*x61 - x119*x67 - x120*x73 - 5*x7 - 6*x14 - 6*x21
      - 3560*x121 - 429*x122 - 476*x123 >= -23256;

e48: (-x117*x56) - x118*x62 - x119*x68 - x120*x74 - 2*x14 - 4*x21 - 2*x28
      - 400*x121 - 505*x122 - 197*x123 >= -15776;

e49: (-x117*x57) - x118*x63 - x119*x69 - x120*x75 - 8*x7 - 7*x14 - 5*x21
      - 7*x28 - 56*x121 - 266*x122 - 493*x123 >= -18020;

e50: (-x117*x58) - x118*x64 - x119*x70 - x120*x76 - 2*x14 - x21 - 2*x28
      - 436*x121 - 481*x122 - 399*x123 >= -26724;

e51: (-x117*x59) - x118*x65 - x119*x71 - x120*x77 - 4*x7 - x21 - 90*x121
      - 505*x122 - 495*x123 >= -20332;

e52: (-x124*x54) - x125*x60 - x126*x66 - x127*x72 - 4*x8 - 4*x15 - 4*x29
      - 850*x128 - 112*x129 - 491*x130 >= -58760;

e53: (-x124*x55) - x125*x61 - x126*x67 - x127*x73 - 5*x8 - 6*x15 - 6*x22
      - 3560*x128 - 429*x129 - 476*x130 >= -8320;

e54: (-x124*x56) - x125*x62 - x126*x68 - x127*x74 - 2*x15 - 4*x22 - 2*x29
      - 400*x128 - 505*x129 - 197*x130 >= -1300;

e55: (-x124*x57) - x125*x63 - x126*x69 - x127*x75 - 8*x8 - 7*x15 - 5*x22
      - 7*x29 - 56*x128 - 266*x129 - 493*x130 >= -43420;

e56: (-x124*x58) - x125*x64 - x126*x70 - x127*x76 - 2*x15 - x22 - 2*x29
      - 436*x128 - 481*x129 - 399*x130 >= -18590;

e57: (-x124*x59) - x125*x65 - x126*x71 - x127*x77 - 4*x8 - x22 - 90*x128
      - 505*x129 - 495*x130 >= -31720;

e58: x78*x30 - x78*x54 = -6016;

e59: x78*x31 - x78*x55 = -22272;

e60: x78*x32 - x78*x56 = -15744;

e61: x78*x33 - x78*x57 = -256;

e62: x78*x34 - x78*x58 = -10752;

e63: x78*x35 - x78*x59 = -6400;

e64: x86*x36 - x86*x60 = -4250;

e65: x86*x37 - x86*x61 = -3230;

e66: x86*x38 - x86*x62 = -1870;

e67: x86*x39 - x86*x63 = -84796;

e68: x86*x40 - x86*x64 = -884;

e69: x86*x41 - x86*x65 = -3332;

e70: x94*x42 - x94*x66 = -10080;

e71: x94*x43 - x94*x67 = -4914;

e72: x94*x44 - x94*x68 = -46242;

e73: x94*x45 - x94*x69 = -5418;

e74: x94*x46 - x94*x70 = -16506;

e75: x94*x47 - x94*x71 = -4284;

e76: x102*x48 - x102*x72 = -3456;

e77: x102*x49 - x102*x73 = -43776;

e78: x102*x50 - x102*x74 = -39040;

e79: x102*x51 - x102*x75 = -52224;

e80: x102*x52 - x102*x76 = -17280;

e81: x102*x53 - x102*x77 = -27008;