#  QCP written by GAMS Convert at 02/15/18 15:47:09
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        173      146        0       27        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        159      159        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        619      407      212        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 8.94427191;
var x3 >= 0, <= 8.94427191;
var x4 >= 0, <= 8.94427191;
var x5 >= 0, <= 8.94427191;
var x6 >= 0, <= 8.94427191;
var x7 >= 0, <= 8.94427191;
var x8 >= 0, <= 8.94427191;
var x9 >= 0, <= 8.94427191;
var x10 >= 0, <= 8.94427191;
var x11 >= 0, <= 8.94427191;
var x12 >= 0, <= 8.94427191;
var x13 >= 0, <= 8.94427191;
var x14 >= -8.94427191, <= 8.94427191;
var x15 >= -8.94427191, <= 8.94427191;
var x16 >= -8.94427191, <= 8.94427191;
var x17 >= -8.94427191, <= 8.94427191;
var x18 >= -8.94427191, <= 8.94427191;
var x19 >= -8.94427191, <= 8.94427191;
var x20 >= -8.94427191, <= 8.94427191;
var x21 >= -8.94427191, <= 8.94427191;
var x22 >= -8.94427191, <= 8.94427191;
var x23 >= -8.94427191, <= 8.94427191;
var x24 >= -8.94427191, <= 8.94427191;
var x25 >= -8.94427191, <= 8.94427191;
var x26 >= 0, <= 8.94427191;
var x27 >= 0, <= 8.94427191;
var x28 >= 0, <= 8.94427191;
var x29 >= 0, <= 8.94427191;
var x30 >= 0, <= 8.94427191;
var x31 >= 0, <= 8.94427191;
var x32 >= 0, <= 8.94427191;
var x33 >= 0, <= 8.94427191;
var x34 >= 0, <= 8.94427191;
var x35 >= 0, <= 8.94427191;
var x36 >= 0, <= 8.94427191;
var x37 >= 0, <= 8.94427191;
var x38 >= -8.94427191, <= 8.94427191;
var x39 >= -8.94427191, <= 8.94427191;
var x40 >= -8.94427191, <= 8.94427191;
var x41 >= -8.94427191, <= 8.94427191;
var x42 >= -8.94427191, <= 8.94427191;
var x43 >= -8.94427191, <= 8.94427191;
var x44 >= -8.94427191, <= 8.94427191;
var x45 >= -8.94427191, <= 8.94427191;
var x46 >= -8.94427191, <= 8.94427191;
var x47 >= -8.94427191, <= 8.94427191;
var x48 >= -8.94427191, <= 8.94427191;
var x49 >= -8.94427191, <= 8.94427191;
var x50 >= -8.94427191, <= 8.94427191;
var x51 >= -8.94427191, <= 8.94427191;
var x52 >= 0, <= 32;
var x53 >= 0, <= 8;
var x54 >= -8.94427191, <= 8.94427191;
var x55 >= 0, <= 4;
var x56 >= -8.94427191, <= 8.94427191;
var x57 >= -8.94427191, <= 8.94427191;
var x58 >= -8.94427191, <= 8.94427191;
var x59 >= -8.94427191, <= 8.94427191;
var x60 >= -8.94427191, <= 8.94427191;
var x61 >= -8.94427191, <= 8.94427191;
var x62 >= -8.94427191, <= 8.94427191;
var x63 >= -8.94427191, <= 8.94427191;
var x64 >= -8.94427191, <= 8.94427191;
var x65 >= -8.94427191, <= 8.94427191;
var x66 >= -8.94427191, <= 8.94427191;
var x67 >= -8.94427191, <= 8.94427191;
var x68 >= -8.94427191, <= 8.94427191;
var x69 >= -8.94427191, <= 8.94427191;
var x70 >= -8.94427191, <= 8.94427191;
var x71 >= -8.94427191, <= 8.94427191;
var x72 >= -8.94427191, <= 8.94427191;
var x73 >= -8.94427191, <= 8.94427191;
var x74 >= -8.94427191, <= 8.94427191;
var x75 >= -8.94427191, <= 8.94427191;
var x76 >= -8.94427191, <= 8.94427191;
var x77 >= -8.94427191, <= 8.94427191;
var x78 >= -8.94427191, <= 8.94427191;
var x79 >= 0, <= 8;
var x80 >= -8.94427191, <= 8.94427191;
var x81 >= 0, <= 4;
var x82 >= -8.94427191, <= 8.94427191;
var x83 >= -8.94427191, <= 8.94427191;
var x84 >= -8.94427191, <= 8.94427191;
var x85 >= -8.94427191, <= 8.94427191;
var x86 >= -8.94427191, <= 8.94427191;
var x87 >= -8.94427191, <= 8.94427191;
var x88 >= -8.94427191, <= 8.94427191;
var x89 >= -8.94427191, <= 8.94427191;
var x90 >= -8.94427191, <= 8.94427191;
var x91 >= -8.94427191, <= 8.94427191;
var x92 >= -8.94427191, <= 8.94427191;
var x93 >= 0, <= 8;
var x94 >= -8.94427191, <= 8.94427191;
var x95 >= 0, <= 4;
var x96 >= -8.94427191, <= 8.94427191;
var x97 >= -8.94427191, <= 8.94427191;
var x98 >= -8.94427191, <= 8.94427191;
var x99 >= -8.94427191, <= 8.94427191;
var x100 >= -8.94427191, <= 8.94427191;
var x101 >= -8.94427191, <= 8.94427191;
var x102 >= -8.94427191, <= 8.94427191;
var x103 >= -8.94427191, <= 8.94427191;
var x104 >= -8.94427191, <= 8.94427191;
var x105 >= -8.94427191, <= 8.94427191;
var x106 >= -8.94427191, <= 8.94427191;
var x107 := 1.44, >= 1.44, <= 32;
var x108 := 1.2, >= 1.2, <= 4;
var x109 >= 0, <= 8;
var x110 := 1.2, >= 1.2, <= 2;
var x111 >= 0, <= 4;
var x112 >= 0, <= 8;
var x113 >= 0, <= 8;
var x114 >= 0, <= 8;
var x115 >= 0, <= 8;
var x116 >= 0, <= 8;
var x117 >= 0, <= 8;
var x118 >= 0, <= 8;
var x119 >= 0, <= 4;
var x120 >= 0, <= 4;
var x121 >= 0, <= 4;
var x122 >= 0, <= 4;
var x123 >= 0, <= 4;
var x124 >= 0, <= 4;
var x125 >= 0, <= 4;
var x126 >= 0, <= 8;
var x127 >= 0, <= 8;
var x128 >= 0, <= 8;
var x129 >= 0, <= 8;
var x130 >= 0, <= 8;
var x131 >= 0, <= 8;
var x132 >= 0, <= 8;
var x133 >= 0, <= 4;
var x134 >= 0, <= 4;
var x135 >= 0, <= 4;
var x136 >= 0, <= 4;
var x137 >= 0, <= 4;
var x138 >= 0, <= 4;
var x139 >= 0, <= 4;
var x140 >= -1, <= 1;
var x141 >= -1, <= 1;
var x142 >= -1, <= 1;
var x143 >= -1, <= 1;
var x144 >= -1, <= 1;
var x145 >= -1, <= 1;
var x146 >= -1, <= 1;
var x147 >= -1, <= 1;
var x148 >= -1, <= 1;
var x149 >= -1, <= 1;
var x150 >= -1, <= 1;
var x151 >= -1, <= 1;
var x152 >= -1, <= 1;
var x153 >= -1, <= 1;
var x154 >= -1, <= 1;
var x155 >= -1, <= 1;
var x156 >= -8.94427191, <= 8.94427191;
var x157 >= -8.94427191, <= 8.94427191;
var x158 >= -8.94427191, <= 8.94427191;
var x159 >= -8.94427191, <= 8.94427191;

minimize obj:    x52;

subject to

e2:    x52 - x107 = -8.523893421;

e3:    x108 - x109 <= -1.2;

e4:    x110 - x111 <= -1.2;

e5:  - 0.1666666667*x112 - 0.1666666667*x113 - 0.1666666667*x114
     - 0.1666666667*x115 - 0.1666666667*x116 - 0.1666666667*x117 + x118 = 0;

e6:  - 0.1666666667*x119 - 0.1666666667*x120 - 0.1666666667*x121
     - 0.1666666667*x122 - 0.1666666667*x123 - 0.1666666667*x124 + x125 = 0;

e7:  - 0.1666666667*x126 - 0.1666666667*x127 - 0.1666666667*x128
     - 0.1666666667*x129 - 0.1666666667*x130 - 0.1666666667*x131 + x132 = 0;

e8:  - 0.1666666667*x133 - 0.1666666667*x134 - 0.1666666667*x135
     - 0.1666666667*x136 - 0.1666666667*x137 - 0.1666666667*x138 + x139 = 0;

e9:  - x109 + x112 <= 0;

e10:  - x111 + x119 <= 0;

e11:  - x109 + x113 <= 0;

e12:  - x111 + x120 <= 0;

e13:  - x109 + x114 <= 0;

e14:  - x111 + x121 <= 0;

e15:  - x109 + x115 <= 0;

e16:  - x111 + x122 <= 0;

e17:  - x109 + x116 <= 0;

e18:  - x111 + x123 <= 0;

e19:  - x109 + x117 <= 0;

e20:  - x111 + x124 <= 0;

e21:  - x109 + x126 <= 0;

e22:  - x111 + x133 <= 0;

e23:  - x109 + x127 <= 0;

e24:  - x111 + x134 <= 0;

e25:  - x109 + x128 <= 0;

e26:  - x111 + x135 <= 0;

e27:  - x109 + x129 <= 0;

e28:  - x111 + x136 <= 0;

e29:  - x109 + x130 <= 0;

e30:  - x111 + x137 <= 0;

e31:  - x109 + x131 <= 0;

e32:  - x111 + x138 <= 0;

e33:    x112 - x118 + 0.8333333333*x140 + 0.75*x141 = 0;

e34:    x113 - x118 - 0.1666666667*x140 + 0.75*x141 = 0;

e35:    x114 - x118 - 0.6666666667*x140 + 0.25*x141 = 0;

e36:    x115 - x118 - 0.6666666667*x140 - 0.25*x141 = 0;

e37:    x116 - x118 - 0.1666666667*x140 - 0.75*x141 = 0;

e38:    x117 - x118 + 0.8333333333*x140 - 0.75*x141 = 0;

e39:    x126 - x132 + 0.8333333333*x142 + 0.75*x143 = 0;

e40:    x127 - x132 - 0.1666666667*x142 + 0.75*x143 = 0;

e41:    x128 - x132 - 0.6666666667*x142 + 0.25*x143 = 0;

e42:    x129 - x132 - 0.6666666667*x142 - 0.25*x143 = 0;

e43:    x130 - x132 - 0.1666666667*x142 - 0.75*x143 = 0;

e44:    x131 - x132 + 0.8333333333*x142 - 0.75*x143 = 0;

e45:    x119 - x125 - 0.75*x140 + 0.8333333333*x141 = 0;

e46:    x120 - x125 - 0.75*x140 - 0.1666666667*x141 = 0;

e47:    x121 - x125 - 0.25*x140 - 0.6666666667*x141 = 0;

e48:    x122 - x125 + 0.25*x140 - 0.6666666667*x141 = 0;

e49:    x123 - x125 + 0.75*x140 - 0.1666666667*x141 = 0;

e50:    x124 - x125 + 0.75*x140 + 0.8333333333*x141 = 0;

e51:    x133 - x139 - 0.75*x142 + 0.8333333333*x143 = 0;

e52:    x134 - x139 - 0.75*x142 - 0.1666666667*x143 = 0;

e53:    x135 - x139 - 0.25*x142 - 0.6666666667*x143 = 0;

e54:    x136 - x139 + 0.25*x142 - 0.6666666667*x143 = 0;

e55:    x137 - x139 + 0.75*x142 - 0.1666666667*x143 = 0;

e56:    x138 - x139 + 0.75*x142 + 0.8333333333*x143 = 0;

e57:  - x144 + x145 = 0;

e58:    x146 + x147 = 0;

e59:  - x148 + x149 = 0;

e60:  - x150 + x151 = 0;

e61:    x152 + x153 = 0;

e62:    x154 + x155 = 0;

e63:    1.2*x149 + x156 = 0;

e64:    1.2*x153 + x157 = 0;

e65:    1.2*x151 + x158 = 0;

e66:    1.2*x155 + x159 = 0;

e67:    x118 - x132 <= 0;

e68: -x111*x109 + x107 = 0;

e69: x146*x14 + x53 + x54 - x112 = 0;

e70: x144*x14 + x55 + x56 - x119 = 0;

e71: x146*x15 + x53 + x57 - x113 = 0;

e72: x144*x15 + x55 + x58 - x120 = 0;

e73: x146*x16 + x53 + x59 - x114 = 0;

e74: x144*x16 + x55 + x60 - x121 = 0;

e75: x146*x17 + x53 + x61 - x115 = 0;

e76: x144*x17 + x55 + x62 - x122 = 0;

e77: x146*x18 + x53 + x63 - x116 = 0;

e78: x144*x18 + x55 + x64 - x123 = 0;

e79: x146*x19 + x53 + x65 - x117 = 0;

e80: x144*x19 + x55 + x66 - x124 = 0;

e81: x146*x20 + x53 + x67 - x126 = 0;

e82: x144*x20 + x55 + x68 - x133 = 0;

e83: x146*x21 + x53 + x69 - x127 = 0;

e84: x144*x21 + x55 + x70 - x134 = 0;

e85: x146*x22 + x53 + x71 - x128 = 0;

e86: x144*x22 + x55 + x72 - x135 = 0;

e87: x146*x23 + x53 + x73 - x129 = 0;

e88: x144*x23 + x55 + x74 - x136 = 0;

e89: x146*x24 + x53 + x75 - x130 = 0;

e90: x144*x24 + x55 + x76 - x137 = 0;

e91: x146*x25 + x53 + x77 - x131 = 0;

e92: x144*x25 + x55 + x78 - x138 = 0;

e93: -x145*x2 + x54 = 0;

e94: -x147*x2 + x56 = 0;

e95: -x145*x3 + x57 = 0;

e96: -x147*x3 + x58 = 0;

e97: -x145*x4 + x59 = 0;

e98: -x147*x4 + x60 = 0;

e99: -x145*x5 + x61 = 0;

e100: -x147*x5 + x62 = 0;

e101: -x145*x6 + x63 = 0;

e102: -x147*x6 + x64 = 0;

e103: -x145*x7 + x65 = 0;

e104: -x147*x7 + x66 = 0;

e105: x145*x8 + x67 = 0;

e106: x147*x8 + x68 = 0;

e107: x145*x9 + x69 = 0;

e108: x147*x9 + x70 = 0;

e109: x145*x10 + x71 = 0;

e110: x147*x10 + x72 = 0;

e111: x145*x11 + x73 = 0;

e112: x147*x11 + x74 = 0;

e113: x145*x12 + x75 = 0;

e114: x147*x12 + x76 = 0;

e115: x145*x13 + x77 = 0;

e116: x147*x13 + x78 = 0;

e117: x152*x38 + x79 + x80 - x112 = 0;

e118: x148*x38 + x81 + x82 - x119 = 0;

e119: x152*x39 + x79 + x83 - x113 = 0;

e120: x148*x39 + x81 + x84 - x120 = 0;

e121: x152*x40 + x79 + x85 - x114 = 0;

e122: x148*x40 + x81 + x86 - x121 = 0;

e123: x152*x41 + x79 + x87 - x115 = 0;

e124: x148*x41 + x81 + x88 - x122 = 0;

e125: x152*x42 + x79 + x89 - x116 = 0;

e126: x148*x42 + x81 + x90 - x123 = 0;

e127: x152*x43 + x79 + x91 - x117 = 0;

e128: x148*x43 + x81 + x92 - x124 = 0;

e129: x154*x44 + x93 + x94 - x126 = 0;

e130: x150*x44 + x95 + x96 - x133 = 0;

e131: x154*x45 + x93 + x97 - x127 = 0;

e132: x150*x45 + x95 + x98 - x134 = 0;

e133: x154*x46 + x93 + x99 - x128 = 0;

e134: x150*x46 + x95 + x100 - x135 = 0;

e135: x154*x47 + x93 + x101 - x129 = 0;

e136: x150*x47 + x95 + x102 - x136 = 0;

e137: x154*x48 + x93 + x103 - x130 = 0;

e138: x150*x48 + x95 + x104 - x137 = 0;

e139: x154*x49 + x93 + x105 - x131 = 0;

e140: x150*x49 + x95 + x106 - x138 = 0;

e141: x152*x50 + x79 - x108 + x156 = 0;

e142: x148*x50 + x81 - x110 + x157 = 0;

e143: x154*x51 + x93 - x108 + x158 = 0;

e144: x150*x51 + x95 - x110 + x159 = 0;

e145: -x149*x26 + x80 = 0;

e146: -x153*x26 + x82 = 0;

e147: -x149*x27 + x83 = 0;

e148: -x153*x27 + x84 = 0;

e149: -x149*x28 + x85 = 0;

e150: -x153*x28 + x86 = 0;

e151: -x149*x29 + x87 = 0;

e152: -x153*x29 + x88 = 0;

e153: -x149*x30 + x89 = 0;

e154: -x153*x30 + x90 = 0;

e155: -x149*x31 + x91 = 0;

e156: -x153*x31 + x92 = 0;

e157: -x151*x32 + x94 = 0;

e158: -x155*x32 + x96 = 0;

e159: -x151*x33 + x97 = 0;

e160: -x155*x33 + x98 = 0;

e161: -x151*x34 + x99 = 0;

e162: -x155*x34 + x100 = 0;

e163: -x151*x35 + x101 = 0;

e164: -x155*x35 + x102 = 0;

e165: -x151*x36 + x103 = 0;

e166: -x155*x36 + x104 = 0;

e167: -x151*x37 + x105 = 0;

e168: -x155*x37 + x106 = 0;

e169: x140^2 + x141^2 = 1;

e170: x142^2 + x143^2 = 1;

e171: x144^2 + x146^2 = 1;

e172: x148^2 + x152^2 = 1;

e173: x150^2 + x154^2 = 1;