#  MINLP written by GAMS Convert at 01/12/18 13:34:26
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         65       65        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        193        1      192        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        385      193      192        0
# 
#  Reformulation has removed 1 variable and 1 equation


var b1 binary >= 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 >= 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 >= 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 >= 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 >= 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 b76 binary >= 0, <= 1;
var b77 binary >= 0, <= 1;
var b78 binary >= 0, <= 1;
var b79 binary >= 0, <= 1;
var b80 binary >= 0, <= 1;
var b81 binary >= 0, <= 1;
var b82 binary >= 0, <= 1;
var b83 binary >= 0, <= 1;
var b84 binary >= 0, <= 1;
var b85 binary >= 0, <= 1;
var b86 binary >= 0, <= 1;
var b87 binary >= 0, <= 1;
var b88 binary >= 0, <= 1;
var b89 binary >= 0, <= 1;
var b90 binary >= 0, <= 1;
var b91 binary >= 0, <= 1;
var b92 binary >= 0, <= 1;
var b93 binary >= 0, <= 1;
var b94 binary >= 0, <= 1;
var b95 binary >= 0, <= 1;
var b96 binary >= 0, <= 1;
var b97 binary >= 0, <= 1;
var b98 binary >= 0, <= 1;
var b99 binary >= 0, <= 1;
var b100 binary >= 0, <= 1;
var b101 binary >= 0, <= 1;
var b102 binary >= 0, <= 1;
var b103 binary >= 0, <= 1;
var b104 binary >= 0, <= 1;
var b105 binary >= 0, <= 1;
var b106 binary >= 0, <= 1;
var b107 binary >= 0, <= 1;
var b108 binary >= 0, <= 1;
var b109 binary >= 0, <= 1;
var b110 binary >= 0, <= 1;
var b111 binary >= 0, <= 1;
var b112 binary >= 0, <= 1;
var b113 binary >= 0, <= 1;
var b114 binary >= 0, <= 1;
var b115 binary >= 0, <= 1;
var b116 binary >= 0, <= 1;
var b117 binary >= 0, <= 1;
var b118 binary >= 0, <= 1;
var b119 binary >= 0, <= 1;
var b120 binary >= 0, <= 1;
var b121 binary >= 0, <= 1;
var b122 binary >= 0, <= 1;
var b123 binary >= 0, <= 1;
var b124 binary >= 0, <= 1;
var b125 binary >= 0, <= 1;
var b126 binary >= 0, <= 1;
var b127 binary >= 0, <= 1;
var b128 binary >= 0, <= 1;
var b129 binary >= 0, <= 1;
var b130 binary >= 0, <= 1;
var b131 binary >= 0, <= 1;
var b132 binary >= 0, <= 1;
var b133 binary >= 0, <= 1;
var b134 binary >= 0, <= 1;
var b135 binary >= 0, <= 1;
var b136 binary >= 0, <= 1;
var b137 binary >= 0, <= 1;
var b138 binary >= 0, <= 1;
var b139 binary >= 0, <= 1;
var b140 binary >= 0, <= 1;
var b141 binary >= 0, <= 1;
var b142 binary >= 0, <= 1;
var b143 binary >= 0, <= 1;
var b144 binary >= 0, <= 1;
var b145 binary >= 0, <= 1;
var b146 binary >= 0, <= 1;
var b147 binary >= 0, <= 1;
var b148 binary >= 0, <= 1;
var b149 binary >= 0, <= 1;
var b150 binary >= 0, <= 1;
var b151 binary >= 0, <= 1;
var b152 binary >= 0, <= 1;
var b153 binary >= 0, <= 1;
var b154 binary >= 0, <= 1;
var b155 binary >= 0, <= 1;
var b156 binary >= 0, <= 1;
var b157 binary >= 0, <= 1;
var b158 binary >= 0, <= 1;
var b159 binary >= 0, <= 1;
var b160 binary >= 0, <= 1;
var b161 binary >= 0, <= 1;
var b162 binary >= 0, <= 1;
var b163 binary >= 0, <= 1;
var b164 binary >= 0, <= 1;
var b165 binary >= 0, <= 1;
var b166 binary >= 0, <= 1;
var b167 binary >= 0, <= 1;
var b168 binary >= 0, <= 1;
var b169 binary >= 0, <= 1;
var b170 binary >= 0, <= 1;
var b171 binary >= 0, <= 1;
var b172 binary >= 0, <= 1;
var b173 binary >= 0, <= 1;
var b174 binary >= 0, <= 1;
var b175 binary >= 0, <= 1;
var b176 binary >= 0, <= 1;
var b177 binary >= 0, <= 1;
var b178 binary >= 0, <= 1;
var b179 binary >= 0, <= 1;
var b180 binary >= 0, <= 1;
var b181 binary >= 0, <= 1;
var b182 binary >= 0, <= 1;
var b183 binary >= 0, <= 1;
var b184 binary >= 0, <= 1;
var b185 binary >= 0, <= 1;
var b186 binary >= 0, <= 1;
var b187 binary >= 0, <= 1;
var b188 binary >= 0, <= 1;
var b189 binary >= 0, <= 1;
var b190 binary >= 0, <= 1;
var b191 binary >= 0, <= 1;
var b192 binary >= 0, <= 1;

minimize obj: 67634*b1*b22 - 83602*b1*b4 + 61711*b1*b25 - 59956*b1*b169 - 83602
    *b2*b5 + 67634*b2*b23 + 61711*b2*b26 - 59956*b2*b170 - 83602*b3*b6 + 67634*
    b3*b24 + 61711*b3*b27 - 59956*b3*b171 + 127500*b4*b7 + 35260*b4*b28 - 
    110030*b4*b172 + 127500*b5*b8 + 35260*b5*b29 - 110030*b5*b173 + 127500*b6*
    b9 + 35260*b6*b30 - 110030*b6*b174 - 68458*b7*b10 - 22985*b7*b31 - 35743*b7
    *b175 - 68458*b8*b11 - 22985*b8*b32 - 35743*b8*b176 - 68458*b9*b12 - 22985*
    b9*b33 - 35743*b9*b177 + 173612*b10*b13 + 199680*b10*b34 + 92582*b10*b178
     + 173612*b11*b14 + 199680*b11*b35 + 92582*b11*b179 + 173612*b12*b15 + 
    199680*b12*b36 + 92582*b12*b180 + 117135*b13*b16 - 147716*b13*b37 + 130308*
    b13*b181 + 117135*b14*b17 - 147716*b14*b38 + 130308*b14*b182 + 117135*b15*
    b18 - 147716*b15*b39 + 130308*b15*b183 + 91667*b16*b19 + 153955*b16*b40 - 
    21093*b16*b184 + 91667*b17*b20 + 153955*b17*b41 - 21093*b17*b185 + 91667*
    b18*b21 + 153955*b18*b42 - 21093*b18*b186 + 74165*b19*b22 - 220722*b19*b43
     - 162288*b19*b187 + 74165*b20*b23 - 220722*b20*b44 - 162288*b20*b188 + 
    74165*b21*b24 - 220722*b21*b45 - 162288*b21*b189 + 35287*b22*b46 - 73662*
    b22*b190 + 35287*b23*b47 - 73662*b23*b191 + 35287*b24*b48 - 73662*b24*b192
     + 47953*b25*b28 + 2925*b25*b46 - 24145*b25*b49 + 47953*b26*b29 + 2925*b26*
    b47 - 24145*b26*b50 + 47953*b27*b30 + 2925*b27*b48 - 24145*b27*b51 - 122136
    *b28*b31 - 77871*b28*b52 - 122136*b29*b32 - 77871*b29*b53 - 122136*b30*b33
     - 77871*b30*b54 - 129158*b31*b34 - 45165*b31*b55 - 129158*b32*b35 - 45165*
    b32*b56 - 129158*b33*b36 - 45165*b33*b57 - 44654*b34*b37 + 18064*b34*b58 - 
    44654*b35*b38 + 18064*b35*b59 - 44654*b36*b39 + 18064*b36*b60 - 164293*b37*
    b40 - 62562*b37*b61 - 164293*b38*b41 - 62562*b38*b62 - 164293*b39*b42 - 
    62562*b39*b63 + 15254*b40*b43 - 73788*b40*b64 + 15254*b41*b44 - 73788*b41*
    b65 + 15254*b42*b45 - 73788*b42*b66 + 67357*b43*b46 + 145724*b43*b67 + 
    67357*b44*b47 + 145724*b44*b68 + 67357*b45*b48 + 145724*b45*b69 + 77518*b46
    *b70 + 77518*b47*b71 + 77518*b48*b72 + 73006*b49*b52 - 97425*b49*b70 - 
    36871*b49*b73 + 73006*b50*b53 - 97425*b50*b71 - 36871*b50*b74 + 73006*b51*
    b54 - 97425*b51*b72 - 36871*b51*b75 - 85230*b52*b55 - 63550*b52*b76 - 85230
    *b53*b56 - 63550*b53*b77 - 85230*b54*b57 - 63550*b54*b78 - 153638*b55*b58
     + 84496*b55*b79 - 153638*b56*b59 + 84496*b56*b80 - 153638*b57*b60 + 84496*
    b57*b81 + 7440*b58*b61 - 67520*b58*b82 + 7440*b59*b62 - 67520*b59*b83 + 
    7440*b60*b63 - 67520*b60*b84 + 97476*b61*b64 - 234690*b61*b85 + 97476*b62*
    b65 - 234690*b62*b86 + 97476*b63*b66 - 234690*b63*b87 + 114707*b64*b67 + 
    218718*b64*b88 + 114707*b65*b68 + 218718*b65*b89 + 114707*b66*b69 + 218718*
    b66*b90 - 72968*b67*b70 + 54754*b67*b91 - 72968*b68*b71 + 54754*b68*b92 - 
    72968*b69*b72 + 54754*b69*b93 - 169837*b70*b94 - 169837*b71*b95 - 169837*
    b72*b96 - 18652*b73*b76 + 114918*b73*b94 - 6803*b73*b97 - 18652*b74*b77 + 
    114918*b74*b95 - 6803*b74*b98 - 18652*b75*b78 + 114918*b75*b96 - 6803*b75*
    b99 - 35802*b76*b79 - 95280*b76*b100 - 35802*b77*b80 - 95280*b77*b101 - 
    35802*b78*b81 - 95280*b78*b102 + 70821*b79*b82 - 58023*b79*b103 + 70821*b80
    *b83 - 58023*b80*b104 + 70821*b81*b84 - 58023*b81*b105 - 61946*b82*b85 - 
    264072*b82*b106 - 61946*b83*b86 - 264072*b83*b107 - 61946*b84*b87 - 264072*
    b84*b108 - 92130*b85*b88 + 16108*b85*b109 - 92130*b86*b89 + 16108*b86*b110
     - 92130*b87*b90 + 16108*b87*b111 + 159379*b88*b91 + 204734*b88*b112 + 
    159379*b89*b92 + 204734*b89*b113 + 159379*b90*b93 + 204734*b90*b114 - 
    189099*b91*b94 - 64588*b91*b115 - 189099*b92*b95 - 64588*b92*b116 - 189099*
    b93*b96 - 64588*b93*b117 + 130590*b94*b118 + 130590*b95*b119 + 130590*b96*
    b120 - 8447*b97*b100 + 90736*b97*b118 + 38420*b97*b121 - 8447*b98*b101 + 
    90736*b98*b119 + 38420*b98*b122 - 8447*b99*b102 + 90736*b99*b120 + 38420*
    b99*b123 + 22308*b100*b103 + 177432*b100*b124 + 22308*b101*b104 + 177432*
    b101*b125 + 22308*b102*b105 + 177432*b102*b126 - 14134*b103*b106 - 28668*
    b103*b127 - 14134*b104*b107 - 28668*b104*b128 - 14134*b105*b108 - 28668*
    b105*b129 - 61805*b106*b109 - 22047*b106*b130 - 61805*b107*b110 - 22047*
    b107*b131 - 61805*b108*b111 - 22047*b108*b132 + 29936*b109*b112 - 36716*
    b109*b133 + 29936*b110*b113 - 36716*b110*b134 + 29936*b111*b114 - 36716*
    b111*b135 - 189188*b112*b115 + 56108*b112*b136 - 189188*b113*b116 + 56108*
    b113*b137 - 189188*b114*b117 + 56108*b114*b138 + 87321*b115*b118 + 43200*
    b115*b139 + 87321*b116*b119 + 43200*b116*b140 + 87321*b117*b120 + 43200*
    b117*b141 - 105343*b118*b142 - 105343*b119*b143 - 105343*b120*b144 + 1787*
    b121*b124 - 39963*b121*b142 - 49240*b121*b145 + 1787*b122*b125 - 39963*b122
    *b143 - 49240*b122*b146 + 1787*b123*b126 - 39963*b123*b144 - 49240*b123*
    b147 - 19759*b124*b127 - 51266*b124*b148 - 19759*b125*b128 - 51266*b125*
    b149 - 19759*b126*b129 - 51266*b126*b150 - 156795*b127*b130 - 90008*b127*
    b151 - 156795*b128*b131 - 90008*b128*b152 - 156795*b129*b132 - 90008*b129*
    b153 + 76764*b130*b133 - 54058*b130*b154 + 76764*b131*b134 - 54058*b131*
    b155 + 76764*b132*b135 - 54058*b132*b156 - 20555*b133*b136 - 275957*b133*
    b157 - 20555*b134*b137 - 275957*b134*b158 - 20555*b135*b138 - 275957*b135*
    b159 + 17070*b136*b139 - 154864*b136*b160 + 17070*b137*b140 - 154864*b137*
    b161 + 17070*b138*b141 - 154864*b138*b162 - 162791*b139*b142 - 8148*b139*
    b163 - 162791*b140*b143 - 8148*b140*b164 - 162791*b141*b144 - 8148*b141*
    b165 - 3896*b142*b166 - 3896*b143*b167 - 3896*b144*b168 - 105352*b145*b148
     + 45364*b145*b166 - 37043*b145*b169 - 105352*b146*b149 + 45364*b146*b167
     - 37043*b146*b170 - 105352*b147*b150 + 45364*b147*b168 - 37043*b147*b171
     + 211004*b148*b151 - 65416*b148*b172 + 211004*b149*b152 - 65416*b149*b173
     + 211004*b150*b153 - 65416*b150*b174 - 12091*b151*b154 + 47044*b151*b175
     - 12091*b152*b155 + 47044*b152*b176 - 12091*b153*b156 + 47044*b153*b177 - 
    64916*b154*b157 - 158531*b154*b178 - 64916*b155*b158 - 158531*b155*b179 - 
    64916*b156*b159 - 158531*b156*b180 - 19908*b157*b160 + 66609*b157*b181 - 
    19908*b158*b161 + 66609*b158*b182 - 19908*b159*b162 + 66609*b159*b183 - 
    22331*b160*b163 - 32557*b160*b184 - 22331*b161*b164 - 32557*b161*b185 - 
    22331*b162*b165 - 32557*b162*b186 - 218808*b163*b166 - 85264*b163*b187 - 
    218808*b164*b167 - 85264*b164*b188 - 218808*b165*b168 - 85264*b165*b189 - 
    75908*b166*b190 - 75908*b167*b191 - 75908*b168*b192 - 75258*b169*b172 + 
    15236*b169*b190 - 75258*b170*b173 + 15236*b170*b191 - 75258*b171*b174 + 
    15236*b171*b192 - 72030*b172*b175 - 72030*b173*b176 - 72030*b174*b177 - 
    3058*b175*b178 - 3058*b176*b179 - 3058*b177*b180 + 33988*b178*b181 + 33988*
    b179*b182 + 33988*b180*b183 + 116509*b181*b184 + 116509*b182*b185 + 116509*
    b183*b186 + 59421*b184*b187 + 59421*b185*b188 + 59421*b186*b189 - 277077*
    b187*b190 - 277077*b188*b191 - 277077*b189*b192;

subject to

e1:    b1 + b2 + b3 = 1;

e2:    b4 + b5 + b6 = 1;

e3:    b7 + b8 + b9 = 1;

e4:    b10 + b11 + b12 = 1;

e5:    b13 + b14 + b15 = 1;

e6:    b16 + b17 + b18 = 1;

e7:    b19 + b20 + b21 = 1;

e8:    b22 + b23 + b24 = 1;

e9:    b25 + b26 + b27 = 1;

e10:    b28 + b29 + b30 = 1;

e11:    b31 + b32 + b33 = 1;

e12:    b34 + b35 + b36 = 1;

e13:    b37 + b38 + b39 = 1;

e14:    b40 + b41 + b42 = 1;

e15:    b43 + b44 + b45 = 1;

e16:    b46 + b47 + b48 = 1;

e17:    b49 + b50 + b51 = 1;

e18:    b52 + b53 + b54 = 1;

e19:    b55 + b56 + b57 = 1;

e20:    b58 + b59 + b60 = 1;

e21:    b61 + b62 + b63 = 1;

e22:    b64 + b65 + b66 = 1;

e23:    b67 + b68 + b69 = 1;

e24:    b70 + b71 + b72 = 1;

e25:    b73 + b74 + b75 = 1;

e26:    b76 + b77 + b78 = 1;

e27:    b79 + b80 + b81 = 1;

e28:    b82 + b83 + b84 = 1;

e29:    b85 + b86 + b87 = 1;

e30:    b88 + b89 + b90 = 1;

e31:    b91 + b92 + b93 = 1;

e32:    b94 + b95 + b96 = 1;

e33:    b97 + b98 + b99 = 1;

e34:    b100 + b101 + b102 = 1;

e35:    b103 + b104 + b105 = 1;

e36:    b106 + b107 + b108 = 1;

e37:    b109 + b110 + b111 = 1;

e38:    b112 + b113 + b114 = 1;

e39:    b115 + b116 + b117 = 1;

e40:    b118 + b119 + b120 = 1;

e41:    b121 + b122 + b123 = 1;

e42:    b124 + b125 + b126 = 1;

e43:    b127 + b128 + b129 = 1;

e44:    b130 + b131 + b132 = 1;

e45:    b133 + b134 + b135 = 1;

e46:    b136 + b137 + b138 = 1;

e47:    b139 + b140 + b141 = 1;

e48:    b142 + b143 + b144 = 1;

e49:    b145 + b146 + b147 = 1;

e50:    b148 + b149 + b150 = 1;

e51:    b151 + b152 + b153 = 1;

e52:    b154 + b155 + b156 = 1;

e53:    b157 + b158 + b159 = 1;

e54:    b160 + b161 + b162 = 1;

e55:    b163 + b164 + b165 = 1;

e56:    b166 + b167 + b168 = 1;

e57:    b169 + b170 + b171 = 1;

e58:    b172 + b173 + b174 = 1;

e59:    b175 + b176 + b177 = 1;

e60:    b178 + b179 + b180 = 1;

e61:    b181 + b182 + b183 = 1;

e62:    b184 + b185 + b186 = 1;

e63:    b187 + b188 + b189 = 1;

e64:    b190 + b191 + b192 = 1;
