#  MINLP written by GAMS Convert at 01/12/18 13:34:28
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         49       49        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        145        1      144        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        289      145      144        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;

minimize obj: 37177*b1*b10 - 123362*b1*b4 + 135068*b1*b13 - 10174*b1*b25 + 
    112363*b1*b37 - 174059*b1*b109 - 123362*b2*b5 + 37177*b2*b11 + 135068*b2*
    b14 - 10174*b2*b26 + 112363*b2*b38 - 174059*b2*b110 - 123362*b3*b6 + 37177*
    b3*b12 + 135068*b3*b15 - 10174*b3*b27 + 112363*b3*b39 - 174059*b3*b111 + 
    1496*b4*b7 - 86083*b4*b16 + 116754*b4*b28 - 135325*b4*b40 - 78283*b4*b112
     + 1496*b5*b8 - 86083*b5*b17 + 116754*b5*b29 - 135325*b5*b41 - 78283*b5*
    b113 + 1496*b6*b9 - 86083*b6*b18 + 116754*b6*b30 - 135325*b6*b42 - 78283*b6
    *b114 + 167165*b7*b10 + 48311*b7*b19 + 168758*b7*b31 - 19619*b7*b43 + 43825
    *b7*b115 + 167165*b8*b11 + 48311*b8*b20 + 168758*b8*b32 - 19619*b8*b44 + 
    43825*b8*b116 + 167165*b9*b12 + 48311*b9*b21 + 168758*b9*b33 - 19619*b9*b45
     + 43825*b9*b117 + 40689*b10*b22 + 27673*b10*b34 + 20805*b10*b46 + 45651*
    b10*b118 + 40689*b11*b23 + 27673*b11*b35 + 20805*b11*b47 + 45651*b11*b119
     + 40689*b12*b24 + 27673*b12*b36 + 20805*b12*b48 + 45651*b12*b120 - 109255*
    b13*b16 - 119367*b13*b22 + 20179*b13*b25 - 25440*b13*b49 + 248492*b13*b121
     - 109255*b14*b17 - 119367*b14*b23 + 20179*b14*b26 - 25440*b14*b50 + 248492
    *b14*b122 - 109255*b15*b18 - 119367*b15*b24 + 20179*b15*b27 - 25440*b15*b51
     + 248492*b15*b123 + 46814*b16*b19 + 51470*b16*b28 + 80578*b16*b52 + 3701*
    b16*b124 + 46814*b17*b20 + 51470*b17*b29 + 80578*b17*b53 + 3701*b17*b125 + 
    46814*b18*b21 + 51470*b18*b30 + 80578*b18*b54 + 3701*b18*b126 + 80772*b19*
    b22 + 147754*b19*b31 + 175164*b19*b55 - 1841*b19*b127 + 80772*b20*b23 + 
    147754*b20*b32 + 175164*b20*b56 - 1841*b20*b128 + 80772*b21*b24 + 147754*
    b21*b33 + 175164*b21*b57 - 1841*b21*b129 + 55808*b22*b34 - 217714*b22*b58
     + 103147*b22*b130 + 55808*b23*b35 - 217714*b23*b59 + 103147*b23*b131 + 
    55808*b24*b36 - 217714*b24*b60 + 103147*b24*b132 - 61931*b25*b28 - 88108*
    b25*b34 - 130441*b25*b61 + 3699*b25*b133 - 61931*b26*b29 - 88108*b26*b35 - 
    130441*b26*b62 + 3699*b26*b134 - 61931*b27*b30 - 88108*b27*b36 - 130441*b27
    *b63 + 3699*b27*b135 + 100468*b28*b31 - 77669*b28*b64 - 186268*b28*b136 + 
    100468*b29*b32 - 77669*b29*b65 - 186268*b29*b137 + 100468*b30*b33 - 77669*
    b30*b66 - 186268*b30*b138 - 128480*b31*b34 - 110381*b31*b67 - 157818*b31*
    b139 - 128480*b32*b35 - 110381*b32*b68 - 157818*b32*b140 - 128480*b33*b36
     - 110381*b33*b69 - 157818*b33*b141 + 25177*b34*b70 - 66379*b34*b142 + 
    25177*b35*b71 - 66379*b35*b143 + 25177*b36*b72 - 66379*b36*b144 + 50456*b37
    *b40 + 26576*b37*b46 - 45705*b37*b49 + 79590*b37*b61 - 3381*b37*b73 + 50456
    *b38*b41 + 26576*b38*b47 - 45705*b38*b50 + 79590*b38*b62 - 3381*b38*b74 + 
    50456*b39*b42 + 26576*b39*b48 - 45705*b39*b51 + 79590*b39*b63 - 3381*b39*
    b75 - 114651*b40*b43 - 105547*b40*b52 - 92459*b40*b64 - 85605*b40*b76 - 
    114651*b41*b44 - 105547*b41*b53 - 92459*b41*b65 - 85605*b41*b77 - 114651*
    b42*b45 - 105547*b42*b54 - 92459*b42*b66 - 85605*b42*b78 + 60686*b43*b46 + 
    35436*b43*b55 + 36881*b43*b67 + 63966*b43*b79 + 60686*b44*b47 + 35436*b44*
    b56 + 36881*b44*b68 + 63966*b44*b80 + 60686*b45*b48 + 35436*b45*b57 + 36881
    *b45*b69 + 63966*b45*b81 + 98324*b46*b58 - 142437*b46*b70 - 113425*b46*b82
     + 98324*b47*b59 - 142437*b47*b71 - 113425*b47*b83 + 98324*b48*b60 - 142437
    *b48*b72 - 113425*b48*b84 - 182685*b49*b52 - 72416*b49*b58 - 17870*b49*b61
     + 98276*b49*b85 - 182685*b50*b53 - 72416*b50*b59 - 17870*b50*b62 + 98276*
    b50*b86 - 182685*b51*b54 - 72416*b51*b60 - 17870*b51*b63 + 98276*b51*b87 - 
    273533*b52*b55 - 241208*b52*b64 - 49346*b52*b88 - 273533*b53*b56 - 241208*
    b53*b65 - 49346*b53*b89 - 273533*b54*b57 - 241208*b54*b66 - 49346*b54*b90
     - 64316*b55*b58 - 135240*b55*b67 - 180528*b55*b91 - 64316*b56*b59 - 135240
    *b56*b68 - 180528*b56*b92 - 64316*b57*b60 - 135240*b57*b69 - 180528*b57*b93
     + 91874*b58*b70 - 3696*b58*b94 + 91874*b59*b71 - 3696*b59*b95 + 91874*b60*
    b72 - 3696*b60*b96 - 40119*b61*b64 + 122867*b61*b70 - 61997*b61*b97 - 40119
    *b62*b65 + 122867*b62*b71 - 61997*b62*b98 - 40119*b63*b66 + 122867*b63*b72
     - 61997*b63*b99 - 37348*b64*b67 + 175208*b64*b100 - 37348*b65*b68 + 175208
    *b65*b101 - 37348*b66*b69 + 175208*b66*b102 - 22393*b67*b70 - 14921*b67*
    b103 - 22393*b68*b71 - 14921*b68*b104 - 22393*b69*b72 - 14921*b69*b105 - 
    601*b70*b106 - 601*b71*b107 - 601*b72*b108 - 76681*b73*b76 + 12689*b73*b82
     + 208440*b73*b85 - 27358*b73*b97 - 73618*b73*b109 - 76681*b74*b77 + 12689*
    b74*b83 + 208440*b74*b86 - 27358*b74*b98 - 73618*b74*b110 - 76681*b75*b78
     + 12689*b75*b84 + 208440*b75*b87 - 27358*b75*b99 - 73618*b75*b111 + 21498*
    b76*b79 + 46551*b76*b88 + 150817*b76*b100 - 15190*b76*b112 + 21498*b77*b80
     + 46551*b77*b89 + 150817*b77*b101 - 15190*b77*b113 + 21498*b78*b81 + 46551
    *b78*b90 + 150817*b78*b102 - 15190*b78*b114 + 28754*b79*b82 - 106952*b79*
    b91 - 65156*b79*b103 + 70131*b79*b115 + 28754*b80*b83 - 106952*b80*b92 - 
    65156*b80*b104 + 70131*b80*b116 + 28754*b81*b84 - 106952*b81*b93 - 65156*
    b81*b105 + 70131*b81*b117 + 32192*b82*b94 - 81667*b82*b106 - 72237*b82*b118
     + 32192*b83*b95 - 81667*b83*b107 - 72237*b83*b119 + 32192*b84*b96 - 81667*
    b84*b108 - 72237*b84*b120 + 28857*b85*b88 - 21532*b85*b94 + 34081*b85*b97
     + 217807*b85*b121 + 28857*b86*b89 - 21532*b86*b95 + 34081*b86*b98 + 217807
    *b86*b122 + 28857*b87*b90 - 21532*b87*b96 + 34081*b87*b99 + 217807*b87*b123
     - 14063*b88*b91 - 32891*b88*b100 + 150197*b88*b124 - 14063*b89*b92 - 32891
    *b89*b101 + 150197*b89*b125 - 14063*b90*b93 - 32891*b90*b102 + 150197*b90*
    b126 - 8558*b91*b94 - 186729*b91*b103 + 15271*b91*b127 - 8558*b92*b95 - 
    186729*b92*b104 + 15271*b92*b128 - 8558*b93*b96 - 186729*b93*b105 + 15271*
    b93*b129 + 99216*b94*b106 + 17426*b94*b130 + 99216*b95*b107 + 17426*b95*
    b131 + 99216*b96*b108 + 17426*b96*b132 - 84666*b97*b100 + 6362*b97*b106 - 
    50758*b97*b133 - 84666*b98*b101 + 6362*b98*b107 - 50758*b98*b134 - 84666*
    b99*b102 + 6362*b99*b108 - 50758*b99*b135 - 69658*b100*b103 - 124701*b100*
    b136 - 69658*b101*b104 - 124701*b101*b137 - 69658*b102*b105 - 124701*b102*
    b138 - 51670*b103*b106 - 271413*b103*b139 - 51670*b104*b107 - 271413*b104*
    b140 - 51670*b105*b108 - 271413*b105*b141 + 32359*b106*b142 + 32359*b107*
    b143 + 32359*b108*b144 + 26315*b109*b112 - 173269*b109*b118 - 81930*b109*
    b121 + 77066*b109*b133 + 26315*b110*b113 - 173269*b110*b119 - 81930*b110*
    b122 + 77066*b110*b134 + 26315*b111*b114 - 173269*b111*b120 - 81930*b111*
    b123 + 77066*b111*b135 + 185719*b112*b115 + 48690*b112*b124 - 73445*b112*
    b136 + 185719*b113*b116 + 48690*b113*b125 - 73445*b113*b137 + 185719*b114*
    b117 + 48690*b114*b126 - 73445*b114*b138 - 69569*b115*b118 + 128748*b115*
    b127 + 72205*b115*b139 - 69569*b116*b119 + 128748*b116*b128 + 72205*b116*
    b140 - 69569*b117*b120 + 128748*b117*b129 + 72205*b117*b141 + 18784*b118*
    b130 + 123614*b118*b142 + 18784*b119*b131 + 123614*b119*b143 + 18784*b120*
    b132 + 123614*b120*b144 - 202564*b121*b124 + 48234*b121*b130 + 50091*b121*
    b133 - 202564*b122*b125 + 48234*b122*b131 + 50091*b122*b134 - 202564*b123*
    b126 + 48234*b123*b132 + 50091*b123*b135 + 96700*b124*b127 + 9225*b124*b136
     + 96700*b125*b128 + 9225*b125*b137 + 96700*b126*b129 + 9225*b126*b138 + 
    109964*b127*b130 + 113810*b127*b139 + 109964*b128*b131 + 113810*b128*b140
     + 109964*b129*b132 + 113810*b129*b141 - 118476*b130*b142 - 118476*b131*
    b143 - 118476*b132*b144 - 36835*b133*b136 + 9987*b133*b142 - 36835*b134*
    b137 + 9987*b134*b143 - 36835*b135*b138 + 9987*b135*b144 + 10830*b136*b139
     + 10830*b137*b140 + 10830*b138*b141 - 32179*b139*b142 - 32179*b140*b143 - 
    32179*b141*b144;

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;