#  MINLP written by GAMS Convert at 08/26/20 11:33:02
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        140        6        0      134        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        106       31       75        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        524      374      150        0
# 
#  Reformulation has removed 1 variable and 1 equation


var b1 binary := 1, >= 0, <= 1;
var b2 binary >= 0, <= 1;
var b3 binary >= 0, <= 1;
var b4 binary >= 0, <= 1;
var b5 binary >= 0, <= 1;
var b6 binary >= 0, <= 1;
var b7 binary >= 0, <= 1;
var b8 binary >= 0, <= 1;
var b9 binary >= 0, <= 1;
var b10 binary >= 0, <= 1;
var b11 binary >= 0, <= 1;
var b12 binary >= 0, <= 1;
var b13 binary >= 0, <= 1;
var b14 binary >= 0, <= 1;
var b15 binary >= 0, <= 1;
var b16 binary >= 0, <= 1;
var b17 binary >= 0, <= 1;
var b18 binary >= 0, <= 1;
var b19 binary := 1, >= 0, <= 1;
var b20 binary >= 0, <= 1;
var b21 binary >= 0, <= 1;
var b22 binary >= 0, <= 1;
var b23 binary >= 0, <= 1;
var b24 binary >= 0, <= 1;
var b25 binary >= 0, <= 1;
var b26 binary >= 0, <= 1;
var b27 binary >= 0, <= 1;
var b28 binary >= 0, <= 1;
var b29 binary >= 0, <= 1;
var b30 binary >= 0, <= 1;
var b31 binary >= 0, <= 1;
var b32 binary >= 0, <= 1;
var b33 binary >= 0, <= 1;
var b34 binary >= 0, <= 1;
var b35 binary >= 0, <= 1;
var b36 binary >= 0, <= 1;
var b37 binary >= 0, <= 1;
var b38 binary >= 0, <= 1;
var b39 binary >= 0, <= 1;
var b40 binary >= 0, <= 1;
var b41 binary >= 0, <= 1;
var b42 binary := 1, >= 0, <= 1;
var b43 binary >= 0, <= 1;
var b44 binary >= 0, <= 1;
var b45 binary >= 0, <= 1;
var b46 binary >= 0, <= 1;
var b47 binary >= 0, <= 1;
var b48 binary >= 0, <= 1;
var b49 binary >= 0, <= 1;
var b50 binary >= 0, <= 1;
var b51 binary >= 0, <= 1;
var b52 binary >= 0, <= 1;
var b53 binary >= 0, <= 1;
var b54 binary >= 0, <= 1;
var b55 binary >= 0, <= 1;
var b56 binary := 1, >= 0, <= 1;
var b57 binary >= 0, <= 1;
var b58 binary >= 0, <= 1;
var b59 binary >= 0, <= 1;
var b60 binary >= 0, <= 1;
var b61 binary >= 0, <= 1;
var b62 binary >= 0, <= 1;
var b63 binary >= 0, <= 1;
var b64 binary >= 0, <= 1;
var b65 binary >= 0, <= 1;
var b66 binary := 1, >= 0, <= 1;
var b67 binary >= 0, <= 1;
var b68 binary >= 0, <= 1;
var b69 binary >= 0, <= 1;
var b70 binary >= 0, <= 1;
var b71 binary >= 0, <= 1;
var b72 binary >= 0, <= 1;
var b73 binary >= 0, <= 1;
var b74 binary >= 0, <= 1;
var b75 binary >= 0, <= 1;
var x76 := 8.95906267878703, >= 0, <= 10;
var x77 := 8.95906267878703, >= 0, <= 10;
var x78 >= 0, <= 10;
var x79 := 7.61846710348714, >= 0, <= 10;
var x80 := 7.02977358343362, >= 0, <= 10;
var x81 := 0.58869352005352, >= 0, <= 10;
var x82 := 8.95906267878703, >= 0, <= 10;
var x83 >= 0, <= 10;
var x84 := 6.22238510231117, >= 0, <= 10;
var x85 := 1.39608200117597, >= 0, <= 10;
var x86 := 8.95906267878703, >= 0, <= 10;
var x87 := 1.11022302462516E-16, >= 0, <= 10;
var x88 := 6.52219222156143, >= 0, <= 10;
var x89 := 1.0962748819257, >= 0, <= 10;
var x90 := 8.95906267878703, >= 0, <= 10;
var x91 >= 0, <= 10;
var x92 := 6.52219222156143, >= 0, <= 10;
var x93 := 1.0962748819257, >= 0, <= 10;
var x94 >= 0, <= 10;
var x95 := 0.807388481122451, >= 0, <= 10;
var x96 >= 0, <= 10;
var x97 := 0.507581361872184, >= 0, <= 10;
var x98 >= 0, <= 10;
var x99 := 0.507581361872184, >= 0, <= 10;
var x100 >= 0, <= 10;
var x101 := 0.299807119250266, >= 0, <= 10;
var x102 >= 0, <= 10;
var x103 := 0.299807119250266, >= 0, <= 10;
var x104 >= 0, <= 10;
var x105 >= 0, <= 10;

minimize obj:    x78 + x81 + x83 + x85 + x87 + x89 + x91 + x93 + x94 + x95
     + x96 + x97 + x98 + x99 + x100 + x101 + x102 + x103 + x104 + x105;

subject to

e1:    x76 - x77 - x78 <= 0;

e2:  - x76 + x77 - x78 <= 0;

e3:    x79 - x80 - x81 <= 0;

e4:  - x79 + x80 - x81 <= 0;

e5:    x76 - x82 - x83 <= 0;

e6:  - x76 + x82 - x83 <= 0;

e7:    x79 - x84 - x85 <= 0;

e8:  - x79 + x84 - x85 <= 0;

e9:    x76 - x86 - x87 <= 0;

e10:  - x76 + x86 - x87 <= 0;

e11:    x79 - x88 - x89 <= 0;

e12:  - x79 + x88 - x89 <= 0;

e13:    x76 - x90 - x91 <= 0;

e14:  - x76 + x90 - x91 <= 0;

e15:    x79 - x92 - x93 <= 0;

e16:  - x79 + x92 - x93 <= 0;

e17:    x77 - x82 - x94 <= 0;

e18:  - x77 + x82 - x94 <= 0;

e19:    x80 - x84 - x95 <= 0;

e20:  - x80 + x84 - x95 <= 0;

e21:    x77 - x86 - x96 <= 0;

e22:  - x77 + x86 - x96 <= 0;

e23:    x80 - x88 - x97 <= 0;

e24:  - x80 + x88 - x97 <= 0;

e25:    x77 - x90 - x98 <= 0;

e26:  - x77 + x90 - x98 <= 0;

e27:    x80 - x92 - x99 <= 0;

e28:  - x80 + x92 - x99 <= 0;

e29:    x82 - x86 - x100 <= 0;

e30:  - x82 + x86 - x100 <= 0;

e31:    x84 - x88 - x101 <= 0;

e32:  - x84 + x88 - x101 <= 0;

e33:    x82 - x90 - x102 <= 0;

e34:  - x82 + x90 - x102 <= 0;

e35:    x84 - x92 - x103 <= 0;

e36:  - x84 + x92 - x103 <= 0;

e37:    x86 - x90 - x104 <= 0;

e38:  - x86 + x90 - x104 <= 0;

e39:    x88 - x92 - x105 <= 0;

e40:  - x88 + x92 - x105 <= 0;

e41: (8.68340342427357 - x76)^2 + (8.57974596088368 - x79)^2
      + 122.913026025479*b1 <= 123.913026025479;

e42: (9.63614333912176 - x76)^2 + (8.80176337918095 - x79)^2
      + 144.203684439948*b2 <= 145.203684439948;

e43: (3.68142205418198 - x76)^2 + (1.1692321814062 - x79)^2
      + 113.075460968432*b3 <= 114.075460968432;

e44: (9.7121756733827 - x76)^2 + (7.68772804421774 - x79)^2
      + 132.715787162747*b4 <= 133.715787162747;

e45: (3.2772228491781 - x76)^2 + (8.20105404549271 - x79)^2
      + 71.5990957077621*b5 <= 72.5990957077621;

e46: (8.95169370625893 - x76)^2 + (5.71833771240185 - x79)^2
      + 101.022453999802*b6 <= 102.022453999802;

e47: (6.39713701672676 - x76)^2 + (2.19374777991393 - x79)^2
      + 76.9700130269697*b7 <= 77.9700130269697;

e48: (8.63324272987351 - x76)^2 + (2.92174290170279 - x79)^2
      + 86.0532928024441*b8 <= 87.0532928024441;

e49: (3.63244627881363 - x76)^2 + (1.91739848753332 - x79)^2
      + 101.707832966379*b9 <= 102.707832966379;

e50: (0.303084489788861 - x76)^2 + (2.88588654972735 - x79)^2
      + 144.203684439948*b10 <= 145.203684439948;

e51: (9.32557624217471 - x76)^2 + (5.59175556022082 - x79)^2
      + 107.566095593812*b11 <= 108.566095593812;

e52: (8.52118108549064 - x76)^2 + (5.32332318998315 - x79)^2
      + 90.6220952924323*b12 <= 91.6220952924323;

e53: (4.01861330995576 - x76)^2 + (9.65380890252737 - x79)^2
      + 97.233140568496*b13 <= 98.233140568496;

e54: (2.49020328922613 - x76)^2 + (0.874596139412213 - x79)^2
      + 135.249644224288*b14 <= 136.249644224288;

e55: (0.545671492825244 - x76)^2 + (3.81401698819633 - x79)^2
      + 128.252112242799*b15 <= 129.252112242799;

e56:    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13
      + b14 + b15 = 1;

e57: (8.68340342427357 - x77)^2 + (8.57974596088368 - x80)^2
      + 122.913026025479*b16 <= 123.913026025479;

e58: (9.63614333912176 - x77)^2 + (8.80176337918095 - x80)^2
      + 144.203684439948*b17 <= 145.203684439948;

e59: (3.68142205418198 - x77)^2 + (1.1692321814062 - x80)^2
      + 113.075460968432*b18 <= 114.075460968432;

e60: (9.7121756733827 - x77)^2 + (7.68772804421774 - x80)^2
      + 132.715787162747*b19 <= 133.715787162747;

e61: (3.2772228491781 - x77)^2 + (8.20105404549271 - x80)^2
      + 71.5990957077621*b20 <= 72.5990957077621;

e62: (8.95169370625893 - x77)^2 + (5.71833771240185 - x80)^2
      + 101.022453999802*b21 <= 102.022453999802;

e63: (6.39713701672676 - x77)^2 + (2.19374777991393 - x80)^2
      + 76.9700130269697*b22 <= 77.9700130269697;

e64: (8.63324272987351 - x77)^2 + (2.92174290170279 - x80)^2
      + 86.0532928024441*b23 <= 87.0532928024441;

e65: (3.63244627881363 - x77)^2 + (1.91739848753332 - x80)^2
      + 101.707832966379*b24 <= 102.707832966379;

e66: (0.303084489788861 - x77)^2 + (2.88588654972735 - x80)^2
      + 144.203684439948*b25 <= 145.203684439948;

e67: (9.32557624217471 - x77)^2 + (5.59175556022082 - x80)^2
      + 107.566095593812*b26 <= 108.566095593812;

e68: (8.52118108549064 - x77)^2 + (5.32332318998315 - x80)^2
      + 90.6220952924323*b27 <= 91.6220952924323;

e69: (4.01861330995576 - x77)^2 + (9.65380890252737 - x80)^2
      + 97.233140568496*b28 <= 98.233140568496;

e70: (2.49020328922613 - x77)^2 + (0.874596139412213 - x80)^2
      + 135.249644224288*b29 <= 136.249644224288;

e71: (0.545671492825244 - x77)^2 + (3.81401698819633 - x80)^2
      + 128.252112242799*b30 <= 129.252112242799;

e72:    b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25 + b26 + b27
      + b28 + b29 + b30 = 1;

e73: (8.68340342427357 - x82)^2 + (8.57974596088368 - x84)^2
      + 122.913026025479*b31 <= 123.913026025479;

e74: (9.63614333912176 - x82)^2 + (8.80176337918095 - x84)^2
      + 144.203684439948*b32 <= 145.203684439948;

e75: (3.68142205418198 - x82)^2 + (1.1692321814062 - x84)^2
      + 113.075460968432*b33 <= 114.075460968432;

e76: (9.7121756733827 - x82)^2 + (7.68772804421774 - x84)^2
      + 132.715787162747*b34 <= 133.715787162747;

e77: (3.2772228491781 - x82)^2 + (8.20105404549271 - x84)^2
      + 71.5990957077621*b35 <= 72.5990957077621;

e78: (8.95169370625893 - x82)^2 + (5.71833771240185 - x84)^2
      + 101.022453999802*b36 <= 102.022453999802;

e79: (6.39713701672676 - x82)^2 + (2.19374777991393 - x84)^2
      + 76.9700130269697*b37 <= 77.9700130269697;

e80: (8.63324272987351 - x82)^2 + (2.92174290170279 - x84)^2
      + 86.0532928024441*b38 <= 87.0532928024441;

e81: (3.63244627881363 - x82)^2 + (1.91739848753332 - x84)^2
      + 101.707832966379*b39 <= 102.707832966379;

e82: (0.303084489788861 - x82)^2 + (2.88588654972735 - x84)^2
      + 144.203684439948*b40 <= 145.203684439948;

e83: (9.32557624217471 - x82)^2 + (5.59175556022082 - x84)^2
      + 107.566095593812*b41 <= 108.566095593812;

e84: (8.52118108549064 - x82)^2 + (5.32332318998315 - x84)^2
      + 90.6220952924323*b42 <= 91.6220952924323;

e85: (4.01861330995576 - x82)^2 + (9.65380890252737 - x84)^2
      + 97.233140568496*b43 <= 98.233140568496;

e86: (2.49020328922613 - x82)^2 + (0.874596139412213 - x84)^2
      + 135.249644224288*b44 <= 136.249644224288;

e87: (0.545671492825244 - x82)^2 + (3.81401698819633 - x84)^2
      + 128.252112242799*b45 <= 129.252112242799;

e88:    b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 + b42
      + b43 + b44 + b45 = 1;

e89: (8.68340342427357 - x86)^2 + (8.57974596088368 - x88)^2
      + 122.913026025479*b46 <= 123.913026025479;

e90: (9.63614333912176 - x86)^2 + (8.80176337918095 - x88)^2
      + 144.203684439948*b47 <= 145.203684439948;

e91: (3.68142205418198 - x86)^2 + (1.1692321814062 - x88)^2
      + 113.075460968432*b48 <= 114.075460968432;

e92: (9.7121756733827 - x86)^2 + (7.68772804421774 - x88)^2
      + 132.715787162747*b49 <= 133.715787162747;

e93: (3.2772228491781 - x86)^2 + (8.20105404549271 - x88)^2
      + 71.5990957077621*b50 <= 72.5990957077621;

e94: (8.95169370625893 - x86)^2 + (5.71833771240185 - x88)^2
      + 101.022453999802*b51 <= 102.022453999802;

e95: (6.39713701672676 - x86)^2 + (2.19374777991393 - x88)^2
      + 76.9700130269697*b52 <= 77.9700130269697;

e96: (8.63324272987351 - x86)^2 + (2.92174290170279 - x88)^2
      + 86.0532928024441*b53 <= 87.0532928024441;

e97: (3.63244627881363 - x86)^2 + (1.91739848753332 - x88)^2
      + 101.707832966379*b54 <= 102.707832966379;

e98: (0.303084489788861 - x86)^2 + (2.88588654972735 - x88)^2
      + 144.203684439948*b55 <= 145.203684439948;

e99: (9.32557624217471 - x86)^2 + (5.59175556022082 - x88)^2
      + 107.566095593812*b56 <= 108.566095593812;

e100: (8.52118108549064 - x86)^2 + (5.32332318998315 - x88)^2
       + 90.6220952924323*b57 <= 91.6220952924323;

e101: (4.01861330995576 - x86)^2 + (9.65380890252737 - x88)^2
       + 97.233140568496*b58 <= 98.233140568496;

e102: (2.49020328922613 - x86)^2 + (0.874596139412213 - x88)^2
       + 135.249644224288*b59 <= 136.249644224288;

e103: (0.545671492825244 - x86)^2 + (3.81401698819633 - x88)^2
       + 128.252112242799*b60 <= 129.252112242799;

e104:    b46 + b47 + b48 + b49 + b50 + b51 + b52 + b53 + b54 + b55 + b56 + b57
       + b58 + b59 + b60 = 1;

e105: (8.68340342427357 - x90)^2 + (8.57974596088368 - x92)^2
       + 122.913026025479*b61 <= 123.913026025479;

e106: (9.63614333912176 - x90)^2 + (8.80176337918095 - x92)^2
       + 144.203684439948*b62 <= 145.203684439948;

e107: (3.68142205418198 - x90)^2 + (1.1692321814062 - x92)^2
       + 113.075460968432*b63 <= 114.075460968432;

e108: (9.7121756733827 - x90)^2 + (7.68772804421774 - x92)^2
       + 132.715787162747*b64 <= 133.715787162747;

e109: (3.2772228491781 - x90)^2 + (8.20105404549271 - x92)^2
       + 71.5990957077621*b65 <= 72.5990957077621;

e110: (8.95169370625893 - x90)^2 + (5.71833771240185 - x92)^2
       + 101.022453999802*b66 <= 102.022453999802;

e111: (6.39713701672676 - x90)^2 + (2.19374777991393 - x92)^2
       + 76.9700130269697*b67 <= 77.9700130269697;

e112: (8.63324272987351 - x90)^2 + (2.92174290170279 - x92)^2
       + 86.0532928024441*b68 <= 87.0532928024441;

e113: (3.63244627881363 - x90)^2 + (1.91739848753332 - x92)^2
       + 101.707832966379*b69 <= 102.707832966379;

e114: (0.303084489788861 - x90)^2 + (2.88588654972735 - x92)^2
       + 144.203684439948*b70 <= 145.203684439948;

e115: (9.32557624217471 - x90)^2 + (5.59175556022082 - x92)^2
       + 107.566095593812*b71 <= 108.566095593812;

e116: (8.52118108549064 - x90)^2 + (5.32332318998315 - x92)^2
       + 90.6220952924323*b72 <= 91.6220952924323;

e117: (4.01861330995576 - x90)^2 + (9.65380890252737 - x92)^2
       + 97.233140568496*b73 <= 98.233140568496;

e118: (2.49020328922613 - x90)^2 + (0.874596139412213 - x92)^2
       + 135.249644224288*b74 <= 136.249644224288;

e119: (0.545671492825244 - x90)^2 + (3.81401698819633 - x92)^2
       + 128.252112242799*b75 <= 129.252112242799;

e120:    b61 + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72
       + b73 + b74 + b75 = 1;

e121:    b1 + b16 + b31 + b46 + b61 <= 1;

e122:    b2 + b17 + b32 + b47 + b62 <= 1;

e123:    b3 + b18 + b33 + b48 + b63 <= 1;

e124:    b4 + b19 + b34 + b49 + b64 <= 1;

e125:    b5 + b20 + b35 + b50 + b65 <= 1;

e126:    b6 + b21 + b36 + b51 + b66 <= 1;

e127:    b7 + b22 + b37 + b52 + b67 <= 1;

e128:    b8 + b23 + b38 + b53 + b68 <= 1;

e129:    b9 + b24 + b39 + b54 + b69 <= 1;

e130:    b10 + b25 + b40 + b55 + b70 <= 1;

e131:    b11 + b26 + b41 + b56 + b71 <= 1;

e132:    b12 + b27 + b42 + b57 + b72 <= 1;

e133:    b13 + b28 + b43 + b58 + b73 <= 1;

e134:    b14 + b29 + b44 + b59 + b74 <= 1;

e135:    b15 + b30 + b45 + b60 + b75 <= 1;

e136:    x76 - x77 <= 0;

e137:    x77 - x82 <= 0;

e138:    x82 - x86 <= 0;

e139:    x86 - x90 <= 0;