#  QCP written by GAMS Convert at 02/15/18 15:45:56
#  
#  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
#        144      144        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        962      506      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, <= 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, <= 65;
var x38 >= 0, <= 465;
var x39 >= 0, <= 166;
var x40 >= 0, <= 56;
var x41 >= 0, <= 33;
var x42 >= 0, <= 346;
var x43 >= 0, <= 448;
var x44 >= 0, <= 414;
var x45 >= 0, <= 268;
var x46 >= 0, <= 191;
var x47 >= 0, <= 350;
var x48 >= 0, <= 243;
var x49 >= 0, <= 171;
var x50 >= 0, <= 496;
var x51 >= 0, <= 406;
var x52 >= 0, <= 486;
var x53 >= 0, <= 323;
var x54 >= 0, <= 355;
var x55 >= 0, <= 139;
var x56 >= 0, <= 211;
var x57 >= 0, <= 469;
var x58 >= 0, <= 65;
var x59 >= 0, <= 259;
var x60 >= 0, <= 328;
var x61 >= 0, <= 264;
var x62 >= 0, <= 482;
var x63 >= 0, <= 363;
var x64 >= 0, <= 242;
var x65 >= 0, <= 509;
var x66 >= 0, <= 419;
var x67 >= 0, <= 515;
var x68 >= 0, <= 457;
var x69 >= 0, <= 345;
var x70 >= 0, <= 399;
var x71 >= 0, <= 400;
var x72 >= 0, <= 379;
var x73 >= 0, <= 387;
var x74 >= 0, <= 512;
var x75 >= 0, <= 456;
var x76 >= 0, <= 501;
var x77 >= 0, <= 499;
var x78 >= 0, <= 417;
var x79 >= 0, <= 275;
var x80 >= 0, <= 349;
var x81 >= 0, <= 504;
var x82 >= 0, <= 225;
var x83 >= 0, <= 268;
var x84 >= 0, <= 502;
var x85 >= 0, <= 100;
var x86 >= 0, <= 100000;
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, <= 100;
var x94 >= 0, <= 100000;
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, <= 40;
var x102 >= 0, <= 100000;
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, <= 90;
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;
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;

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 + x85 - x86 - x87 - x88 - x89 - x90 - x91
     - x92 = 0;

e3:  - x3 - x10 - x17 - x24 - x31 + x93 - x94 - x95 - x96 - x97 - x98 - x99
     - x100 = 0;

e4:  - x4 - x11 - x18 - x25 - x32 + x101 - x102 - x103 - x104 - x105 - x106
     - x107 - x108 = 0;

e5:  - x5 - x12 - x19 - x26 - x33 + x109 - x110 - x111 - x112 - x113 - x114
     - x115 - x116 = 0;

e6:  - x6 - x13 - x20 - x27 - x34 - x117 - x118 - x119 - x120 - x121 - x122
     - x123 = -80;

e7:  - x7 - x14 - x21 - x28 - x35 - x124 - x125 - x126 - x127 - x128 - x129
     - x130 = -80;

e8:  - x8 - x15 - x22 - x29 - x36 - x131 - x132 - x133 - x134 - x135 - x136
     - x137 = -70;

e9:    x85 - x86 - x94 - x102 - x110 - x117 - x124 - x131 - x138 = 0;

e10:  - x87 + x93 - x95 - x103 - x111 - x118 - x125 - x132 - x139 = 0;

e11:  - x88 - x96 + x101 - x104 - x112 - x119 - x126 - x133 - x140 = 0;

e12:  - x89 - x97 - x105 + x109 - x113 - x120 - x127 - x134 - x141 = 0;

e13:  - x90 - x98 - x106 - x114 - x121 - x128 - x135 - x142 = -30;

e14:  - x91 - x99 - x107 - x115 - x122 - x129 - x136 - x143 = -100;

e15:  - x92 - x100 - x108 - x116 - x123 - x130 - x137 - x144 = -90;

e16: x85*x37 - x86*x61 - x87*x67 - x88*x73 - x89*x79 - x2 - 6*x9 - 4*x16
      - 7*x23 - 6*x30 - 421*x90 - 112*x91 - 491*x92 = 0;

e17: x85*x38 - x86*x62 - x87*x68 - x88*x74 - x89*x80 - 2*x2 - 2*x9 - 8*x16
      - 9*x23 - 9*x30 - 316*x90 - 429*x91 - 476*x92 = 0;

e18: x85*x39 - x86*x63 - x87*x69 - x88*x75 - x89*x81 - 2*x2 - 2*x9 - 6*x16
      - 5*x23 - 2*x30 - 391*x90 - 505*x91 - 197*x92 = 0;

e19: x85*x40 - x86*x64 - x87*x70 - x88*x76 - x89*x82 - 5*x2 - 3*x9 - 3*x16
      - x23 - x30 - 352*x90 - 266*x91 - 493*x92 = 0;

e20: x85*x41 - x86*x65 - x87*x71 - x88*x77 - x89*x83 - 2*x2 - 6*x9 - 2*x16
      - x23 - 6*x30 - 461*x90 - 481*x91 - 399*x92 = 0;

e21: x85*x42 - x86*x66 - x87*x72 - x88*x78 - x89*x84 - 10*x2 - x16 - 4*x30
      - 489*x90 - 505*x91 - 495*x92 = 0;

e22: x93*x43 - x94*x61 - x95*x67 - x96*x73 - x97*x79 - x3 - 6*x10 - 4*x17
      - 7*x24 - 6*x31 - 421*x98 - 112*x99 - 491*x100 = 0;

e23: x93*x44 - x94*x62 - x95*x68 - x96*x74 - x97*x80 - 2*x3 - 2*x10 - 8*x17
      - 9*x24 - 9*x31 - 316*x98 - 429*x99 - 476*x100 = 0;

e24: x93*x45 - x94*x63 - x95*x69 - x96*x75 - x97*x81 - 2*x3 - 2*x10 - 6*x17
      - 5*x24 - 2*x31 - 391*x98 - 505*x99 - 197*x100 = 0;

e25: x93*x46 - x94*x64 - x95*x70 - x96*x76 - x97*x82 - 5*x3 - 3*x10 - 3*x17
      - x24 - x31 - 352*x98 - 266*x99 - 493*x100 = 0;

e26: x93*x47 - x94*x65 - x95*x71 - x96*x77 - x97*x83 - 2*x3 - 6*x10 - 2*x17
      - x24 - 6*x31 - 461*x98 - 481*x99 - 399*x100 = 0;

e27: x93*x48 - x94*x66 - x95*x72 - x96*x78 - x97*x84 - 10*x3 - x17 - 4*x31
      - 489*x98 - 505*x99 - 495*x100 = 0;

e28: x101*x49 - x102*x61 - x103*x67 - x104*x73 - x105*x79 - x4 - 6*x11 - 4*x18
      - 7*x25 - 6*x32 - 421*x106 - 112*x107 - 491*x108 = 0;

e29: x101*x50 - x102*x62 - x103*x68 - x104*x74 - x105*x80 - 2*x4 - 2*x11
      - 8*x18 - 9*x25 - 9*x32 - 316*x106 - 429*x107 - 476*x108 = 0;

e30: x101*x51 - x102*x63 - x103*x69 - x104*x75 - x105*x81 - 2*x4 - 2*x11
      - 6*x18 - 5*x25 - 2*x32 - 391*x106 - 505*x107 - 197*x108 = 0;

e31: x101*x52 - x102*x64 - x103*x70 - x104*x76 - x105*x82 - 5*x4 - 3*x11
      - 3*x18 - x25 - x32 - 352*x106 - 266*x107 - 493*x108 = 0;

e32: x101*x53 - x102*x65 - x103*x71 - x104*x77 - x105*x83 - 2*x4 - 6*x11
      - 2*x18 - x25 - 6*x32 - 461*x106 - 481*x107 - 399*x108 = 0;

e33: x101*x54 - x102*x66 - x103*x72 - x104*x78 - x105*x84 - 10*x4 - x18 - 4*x32
      - 489*x106 - 505*x107 - 495*x108 = 0;

e34: x109*x55 - x110*x61 - x111*x67 - x112*x73 - x113*x79 - x5 - 6*x12 - 4*x19
      - 7*x26 - 6*x33 - 421*x114 - 112*x115 - 491*x116 = 0;

e35: x109*x56 - x110*x62 - x111*x68 - x112*x74 - x113*x80 - 2*x5 - 2*x12
      - 8*x19 - 9*x26 - 9*x33 - 316*x114 - 429*x115 - 476*x116 = 0;

e36: x109*x57 - x110*x63 - x111*x69 - x112*x75 - x113*x81 - 2*x5 - 2*x12
      - 6*x19 - 5*x26 - 2*x33 - 391*x114 - 505*x115 - 197*x116 = 0;

e37: x109*x58 - x110*x64 - x111*x70 - x112*x76 - x113*x82 - 5*x5 - 3*x12
      - 3*x19 - x26 - x33 - 352*x114 - 266*x115 - 493*x116 = 0;

e38: x109*x59 - x110*x65 - x111*x71 - x112*x77 - x113*x83 - 2*x5 - 6*x12
      - 2*x19 - x26 - 6*x33 - 461*x114 - 481*x115 - 399*x116 = 0;

e39: x109*x60 - x110*x66 - x111*x72 - x112*x78 - x113*x84 - 10*x5 - x19 - 4*x33
      - 489*x114 - 505*x115 - 495*x116 = 0;

e40: (-x117*x61) - x118*x67 - x119*x73 - x120*x79 - x6 - 6*x13 - 4*x20 - 7*x27
      - 6*x34 - 421*x121 - 112*x122 - 491*x123 >= -25520;

e41: (-x117*x62) - x118*x68 - x119*x74 - x120*x80 - 2*x6 - 2*x13 - 8*x20
      - 9*x27 - 9*x34 - 316*x121 - 429*x122 - 476*x123 >= -24240;

e42: (-x117*x63) - x118*x69 - x119*x75 - x120*x81 - 2*x6 - 2*x13 - 6*x20
      - 5*x27 - 2*x34 - 391*x121 - 505*x122 - 197*x123 >= -18320;

e43: (-x117*x64) - x118*x70 - x119*x76 - x120*x82 - 5*x6 - 3*x13 - 3*x20 - x27
      - x34 - 352*x121 - 266*x122 - 493*x123 >= -23680;

e44: (-x117*x65) - x118*x71 - x119*x77 - x120*x83 - 2*x6 - 6*x13 - 2*x20 - x27
      - 6*x34 - 461*x121 - 481*x122 - 399*x123 >= -1040;

e45: (-x117*x66) - x118*x72 - x119*x78 - x120*x84 - 10*x6 - x20 - 4*x34
      - 489*x121 - 505*x122 - 495*x123 >= -36320;

e46: (-x124*x61) - x125*x67 - x126*x73 - x127*x79 - x7 - 6*x14 - 4*x21 - 7*x28
      - 6*x35 - 421*x128 - 112*x129 - 491*x130 >= -3440;

e47: (-x124*x62) - x125*x68 - x126*x74 - x127*x80 - 2*x7 - 2*x14 - 8*x21
      - 9*x28 - 9*x35 - 316*x128 - 429*x129 - 476*x130 >= -27360;

e48: (-x124*x63) - x125*x69 - x126*x75 - x127*x81 - 2*x7 - 2*x14 - 6*x21
      - 5*x28 - 2*x35 - 391*x128 - 505*x129 - 197*x130 >= -18560;

e49: (-x124*x64) - x125*x70 - x126*x76 - x127*x82 - 5*x7 - 3*x14 - 3*x21 - x28
      - x35 - 352*x128 - 266*x129 - 493*x130 >= -21200;

e50: (-x124*x65) - x125*x71 - x126*x77 - x127*x83 - 2*x7 - 6*x14 - 2*x21 - x28
      - 6*x35 - 461*x128 - 481*x129 - 399*x130 >= -31440;

e51: (-x124*x66) - x125*x72 - x126*x78 - x127*x84 - 10*x7 - x21 - 4*x35
      - 489*x128 - 505*x129 - 495*x130 >= -23920;

e52: (-x131*x61) - x132*x67 - x133*x73 - x134*x79 - x8 - 6*x15 - 4*x22 - 7*x29
      - 6*x36 - 421*x135 - 112*x136 - 491*x137 >= -31640;

e53: (-x131*x62) - x132*x68 - x133*x74 - x134*x80 - 2*x8 - 2*x15 - 8*x22
      - 9*x29 - 9*x36 - 316*x135 - 429*x136 - 476*x137 >= -4480;

e54: (-x131*x63) - x132*x69 - x133*x75 - x134*x81 - 2*x8 - 2*x15 - 6*x22
      - 5*x29 - 2*x36 - 391*x135 - 505*x136 - 197*x137 >= -700;

e55: (-x131*x64) - x132*x70 - x133*x76 - x134*x82 - 5*x8 - 3*x15 - 3*x22 - x29
      - x36 - 352*x135 - 266*x136 - 493*x137 >= -23380;

e56: (-x131*x65) - x132*x71 - x133*x77 - x134*x83 - 2*x8 - 6*x15 - 2*x22 - x29
      - 6*x36 - 461*x135 - 481*x136 - 399*x137 >= -10010;

e57: (-x131*x66) - x132*x72 - x133*x78 - x134*x84 - 10*x8 - x22 - 4*x36
      - 489*x135 - 505*x136 - 495*x137 >= -17080;

e58: x85*x37 - x85*x61 = -19900;

e59: x85*x38 - x85*x62 = -1700;

e60: x85*x39 - x85*x63 = -19700;

e61: x85*x40 - x85*x64 = -18600;

e62: x85*x41 - x85*x65 = -47600;

e63: x85*x42 - x85*x66 = -7300;

e64: x93*x43 - x93*x67 = -6700;

e65: x93*x44 - x93*x68 = -4300;

e66: x93*x45 - x93*x69 = -7700;

e67: x93*x46 - x93*x70 = -20800;

e68: x93*x47 - x93*x71 = -5000;

e69: x93*x48 - x93*x72 = -13600;

e70: x101*x49 - x101*x73 = -8640;

e71: x101*x50 - x101*x74 = -640;

e72: x101*x51 - x101*x75 = -2000;

e73: x101*x52 - x101*x76 = -600;

e74: x101*x53 - x101*x77 = -7040;

e75: x101*x54 - x101*x78 = -2480;

e76: x109*x55 - x109*x79 = -12240;

e77: x109*x56 - x109*x80 = -12420;

e78: x109*x57 - x109*x81 = -3150;

e79: x109*x58 - x109*x82 = -14400;

e80: x109*x59 - x109*x83 = -810;

e81: x109*x60 - x109*x84 = -15660;