#  MINLP written by GAMS Convert at 01/12/18 13:34:26
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        101      101        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        301        1      300        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        601      301      300        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;
var b193 binary >= 0, <= 1;
var b194 binary >= 0, <= 1;
var b195 binary >= 0, <= 1;
var b196 binary >= 0, <= 1;
var b197 binary >= 0, <= 1;
var b198 binary >= 0, <= 1;
var b199 binary >= 0, <= 1;
var b200 binary >= 0, <= 1;
var b201 binary >= 0, <= 1;
var b202 binary >= 0, <= 1;
var b203 binary >= 0, <= 1;
var b204 binary >= 0, <= 1;
var b205 binary >= 0, <= 1;
var b206 binary >= 0, <= 1;
var b207 binary >= 0, <= 1;
var b208 binary >= 0, <= 1;
var b209 binary >= 0, <= 1;
var b210 binary >= 0, <= 1;
var b211 binary >= 0, <= 1;
var b212 binary >= 0, <= 1;
var b213 binary >= 0, <= 1;
var b214 binary >= 0, <= 1;
var b215 binary >= 0, <= 1;
var b216 binary >= 0, <= 1;
var b217 binary >= 0, <= 1;
var b218 binary >= 0, <= 1;
var b219 binary >= 0, <= 1;
var b220 binary >= 0, <= 1;
var b221 binary >= 0, <= 1;
var b222 binary >= 0, <= 1;
var b223 binary >= 0, <= 1;
var b224 binary >= 0, <= 1;
var b225 binary >= 0, <= 1;
var b226 binary >= 0, <= 1;
var b227 binary >= 0, <= 1;
var b228 binary >= 0, <= 1;
var b229 binary >= 0, <= 1;
var b230 binary >= 0, <= 1;
var b231 binary >= 0, <= 1;
var b232 binary >= 0, <= 1;
var b233 binary >= 0, <= 1;
var b234 binary >= 0, <= 1;
var b235 binary >= 0, <= 1;
var b236 binary >= 0, <= 1;
var b237 binary >= 0, <= 1;
var b238 binary >= 0, <= 1;
var b239 binary >= 0, <= 1;
var b240 binary >= 0, <= 1;
var b241 binary >= 0, <= 1;
var b242 binary >= 0, <= 1;
var b243 binary >= 0, <= 1;
var b244 binary >= 0, <= 1;
var b245 binary >= 0, <= 1;
var b246 binary >= 0, <= 1;
var b247 binary >= 0, <= 1;
var b248 binary >= 0, <= 1;
var b249 binary >= 0, <= 1;
var b250 binary >= 0, <= 1;
var b251 binary >= 0, <= 1;
var b252 binary >= 0, <= 1;
var b253 binary >= 0, <= 1;
var b254 binary >= 0, <= 1;
var b255 binary >= 0, <= 1;
var b256 binary >= 0, <= 1;
var b257 binary >= 0, <= 1;
var b258 binary >= 0, <= 1;
var b259 binary >= 0, <= 1;
var b260 binary >= 0, <= 1;
var b261 binary >= 0, <= 1;
var b262 binary >= 0, <= 1;
var b263 binary >= 0, <= 1;
var b264 binary >= 0, <= 1;
var b265 binary >= 0, <= 1;
var b266 binary >= 0, <= 1;
var b267 binary >= 0, <= 1;
var b268 binary >= 0, <= 1;
var b269 binary >= 0, <= 1;
var b270 binary >= 0, <= 1;
var b271 binary >= 0, <= 1;
var b272 binary >= 0, <= 1;
var b273 binary >= 0, <= 1;
var b274 binary >= 0, <= 1;
var b275 binary >= 0, <= 1;
var b276 binary >= 0, <= 1;
var b277 binary >= 0, <= 1;
var b278 binary >= 0, <= 1;
var b279 binary >= 0, <= 1;
var b280 binary >= 0, <= 1;
var b281 binary >= 0, <= 1;
var b282 binary >= 0, <= 1;
var b283 binary >= 0, <= 1;
var b284 binary >= 0, <= 1;
var b285 binary >= 0, <= 1;
var b286 binary >= 0, <= 1;
var b287 binary >= 0, <= 1;
var b288 binary >= 0, <= 1;
var b289 binary >= 0, <= 1;
var b290 binary >= 0, <= 1;
var b291 binary >= 0, <= 1;
var b292 binary >= 0, <= 1;
var b293 binary >= 0, <= 1;
var b294 binary >= 0, <= 1;
var b295 binary >= 0, <= 1;
var b296 binary >= 0, <= 1;
var b297 binary >= 0, <= 1;
var b298 binary >= 0, <= 1;
var b299 binary >= 0, <= 1;
var b300 binary >= 0, <= 1;

minimize obj: (-140500*b1*b4) - 6168*b1*b28 + 69805*b1*b31 + 99537*b1*b271 - 
    140500*b2*b5 - 6168*b2*b29 + 69805*b2*b32 + 99537*b2*b272 - 140500*b3*b6 - 
    6168*b3*b30 + 69805*b3*b33 + 99537*b3*b273 + 243172*b4*b7 - 106973*b4*b34
     - 75892*b4*b274 + 243172*b5*b8 - 106973*b5*b35 - 75892*b5*b275 + 243172*b6
    *b9 - 106973*b6*b36 - 75892*b6*b276 + 57380*b7*b10 - 161384*b7*b37 - 31457*
    b7*b277 + 57380*b8*b11 - 161384*b8*b38 - 31457*b8*b278 + 57380*b9*b12 - 
    161384*b9*b39 - 31457*b9*b279 + 47389*b10*b13 - 130709*b10*b40 - 118141*b10
    *b280 + 47389*b11*b14 - 130709*b11*b41 - 118141*b11*b281 + 47389*b12*b15 - 
    130709*b12*b42 - 118141*b12*b282 + 8824*b13*b16 + 59639*b13*b43 + 77772*b13
    *b283 + 8824*b14*b17 + 59639*b14*b44 + 77772*b14*b284 + 8824*b15*b18 + 
    59639*b15*b45 + 77772*b15*b285 + 44460*b16*b19 + 16922*b16*b46 + 101315*b16
    *b286 + 44460*b17*b20 + 16922*b17*b47 + 101315*b17*b287 + 44460*b18*b21 + 
    16922*b18*b48 + 101315*b18*b288 - 16373*b19*b22 - 17220*b19*b49 - 22319*b19
    *b289 - 16373*b20*b23 - 17220*b20*b50 - 22319*b20*b290 - 16373*b21*b24 - 
    17220*b21*b51 - 22319*b21*b291 + 142391*b22*b25 - 32331*b22*b52 + 205481*
    b22*b292 + 142391*b23*b26 - 32331*b23*b53 + 205481*b23*b293 + 142391*b24*
    b27 - 32331*b24*b54 + 205481*b24*b294 - 67473*b25*b28 - 38478*b25*b55 + 
    12209*b25*b295 - 67473*b26*b29 - 38478*b26*b56 + 12209*b26*b296 - 67473*b27
    *b30 - 38478*b27*b57 + 12209*b27*b297 + 41199*b28*b58 + 88687*b28*b298 + 
    41199*b29*b59 + 88687*b29*b299 + 41199*b30*b60 + 88687*b30*b300 - 103914*
    b31*b34 - 78967*b31*b58 - 35106*b31*b61 - 103914*b32*b35 - 78967*b32*b59 - 
    35106*b32*b62 - 103914*b33*b36 - 78967*b33*b60 - 35106*b33*b63 + 126330*b34
    *b37 + 63341*b34*b64 + 126330*b35*b38 + 63341*b35*b65 + 126330*b36*b39 + 
    63341*b36*b66 + 179120*b37*b40 - 148919*b37*b67 + 179120*b38*b41 - 148919*
    b38*b68 + 179120*b39*b42 - 148919*b39*b69 - 79*b40*b43 + 57817*b40*b70 - 79
    *b41*b44 + 57817*b41*b71 - 79*b42*b45 + 57817*b42*b72 - 145504*b43*b46 - 
    25404*b43*b73 - 145504*b44*b47 - 25404*b44*b74 - 145504*b45*b48 - 25404*b45
    *b75 + 2643*b46*b49 - 94271*b46*b76 + 2643*b47*b50 - 94271*b47*b77 + 2643*
    b48*b51 - 94271*b48*b78 - 3237*b49*b52 - 113326*b49*b79 - 3237*b50*b53 - 
    113326*b50*b80 - 3237*b51*b54 - 113326*b51*b81 - 34448*b52*b55 + 70947*b52*
    b82 - 34448*b53*b56 + 70947*b53*b83 - 34448*b54*b57 + 70947*b54*b84 + 87914
    *b55*b58 - 194219*b55*b85 + 87914*b56*b59 - 194219*b56*b86 + 87914*b57*b60
     - 194219*b57*b87 + 100179*b58*b88 + 100179*b59*b89 + 100179*b60*b90 + 
    113386*b61*b64 + 146383*b61*b88 + 95534*b61*b91 + 113386*b62*b65 + 146383*
    b62*b89 + 95534*b62*b92 + 113386*b63*b66 + 146383*b63*b90 + 95534*b63*b93
     - 216283*b64*b67 + 132661*b64*b94 - 216283*b65*b68 + 132661*b65*b95 - 
    216283*b66*b69 + 132661*b66*b96 + 45184*b67*b70 - 161057*b67*b97 + 45184*
    b68*b71 - 161057*b68*b98 + 45184*b69*b72 - 161057*b69*b99 + 107039*b70*b73
     - 41532*b70*b100 + 107039*b71*b74 - 41532*b71*b101 + 107039*b72*b75 - 
    41532*b72*b102 - 52792*b73*b76 - 16199*b73*b103 - 52792*b74*b77 - 16199*b74
    *b104 - 52792*b75*b78 - 16199*b75*b105 - 155271*b76*b79 + 119259*b76*b106
     - 155271*b77*b80 + 119259*b77*b107 - 155271*b78*b81 + 119259*b78*b108 - 
    110981*b79*b82 - 78323*b79*b109 - 110981*b80*b83 - 78323*b80*b110 - 110981*
    b81*b84 - 78323*b81*b111 + 158177*b82*b85 - 43898*b82*b112 + 158177*b83*b86
     - 43898*b83*b113 + 158177*b84*b87 - 43898*b84*b114 - 114367*b85*b88 - 
    213090*b85*b115 - 114367*b86*b89 - 213090*b86*b116 - 114367*b87*b90 - 
    213090*b87*b117 + 217366*b88*b118 + 217366*b89*b119 + 217366*b90*b120 + 
    51648*b91*b94 + 54470*b91*b118 + 103741*b91*b121 + 51648*b92*b95 + 54470*
    b92*b119 + 103741*b92*b122 + 51648*b93*b96 + 54470*b93*b120 + 103741*b93*
    b123 - 103486*b94*b97 - 25206*b94*b124 - 103486*b95*b98 - 25206*b95*b125 - 
    103486*b96*b99 - 25206*b96*b126 - 121719*b97*b100 - 189420*b97*b127 - 
    121719*b98*b101 - 189420*b98*b128 - 121719*b99*b102 - 189420*b99*b129 - 
    30445*b100*b103 - 31937*b100*b130 - 30445*b101*b104 - 31937*b101*b131 - 
    30445*b102*b105 - 31937*b102*b132 - 50463*b103*b106 - 122279*b103*b133 - 
    50463*b104*b107 - 122279*b104*b134 - 50463*b105*b108 - 122279*b105*b135 - 
    55487*b106*b109 - 4137*b106*b136 - 55487*b107*b110 - 4137*b107*b137 - 55487
    *b108*b111 - 4137*b108*b138 + 143431*b109*b112 - 44217*b109*b139 + 143431*
    b110*b113 - 44217*b110*b140 + 143431*b111*b114 - 44217*b111*b141 + 52272*
    b112*b115 - 45507*b112*b142 + 52272*b113*b116 - 45507*b113*b143 + 52272*
    b114*b117 - 45507*b114*b144 - 111550*b115*b118 - 58115*b115*b145 - 111550*
    b116*b119 - 58115*b116*b146 - 111550*b117*b120 - 58115*b117*b147 + 132392*
    b118*b148 + 132392*b119*b149 + 132392*b120*b150 + 120695*b121*b124 + 44324*
    b121*b148 - 93232*b121*b151 + 120695*b122*b125 + 44324*b122*b149 - 93232*
    b122*b152 + 120695*b123*b126 + 44324*b123*b150 - 93232*b123*b153 + 71125*
    b124*b127 + 71545*b124*b154 + 71125*b125*b128 + 71545*b125*b155 + 71125*
    b126*b129 + 71545*b126*b156 + 61420*b127*b130 - 75807*b127*b157 + 61420*
    b128*b131 - 75807*b128*b158 + 61420*b129*b132 - 75807*b129*b159 + 2350*b130
    *b133 - 50108*b130*b160 + 2350*b131*b134 - 50108*b131*b161 + 2350*b132*b135
     - 50108*b132*b162 - 79469*b133*b136 + 162799*b133*b163 - 79469*b134*b137
     + 162799*b134*b164 - 79469*b135*b138 + 162799*b135*b165 - 28158*b136*b139
     + 108362*b136*b166 - 28158*b137*b140 + 108362*b137*b167 - 28158*b138*b141
     + 108362*b138*b168 + 37422*b139*b142 - 155036*b139*b169 + 37422*b140*b143
     - 155036*b140*b170 + 37422*b141*b144 - 155036*b141*b171 - 4442*b142*b145
     + 57204*b142*b172 - 4442*b143*b146 + 57204*b143*b173 - 4442*b144*b147 + 
    57204*b144*b174 - 4297*b145*b148 - 80716*b145*b175 - 4297*b146*b149 - 80716
    *b146*b176 - 4297*b147*b150 - 80716*b147*b177 + 47830*b148*b178 + 47830*
    b149*b179 + 47830*b150*b180 + 63143*b151*b154 - 85053*b151*b178 - 81899*
    b151*b181 + 63143*b152*b155 - 85053*b152*b179 - 81899*b152*b182 + 63143*
    b153*b156 - 85053*b153*b180 - 81899*b153*b183 + 94887*b154*b157 - 93735*
    b154*b184 + 94887*b155*b158 - 93735*b155*b185 + 94887*b156*b159 - 93735*
    b156*b186 + 31709*b157*b160 + 37028*b157*b187 + 31709*b158*b161 + 37028*
    b158*b188 + 31709*b159*b162 + 37028*b159*b189 + 22317*b160*b163 + 221122*
    b160*b190 + 22317*b161*b164 + 221122*b161*b191 + 22317*b162*b165 + 221122*
    b162*b192 - 47890*b163*b166 - 24565*b163*b193 - 47890*b164*b167 - 24565*
    b164*b194 - 47890*b165*b168 - 24565*b165*b195 + 25735*b166*b169 + 92913*
    b166*b196 + 25735*b167*b170 + 92913*b167*b197 + 25735*b168*b171 + 92913*
    b168*b198 + 82226*b169*b172 - 46424*b169*b199 + 82226*b170*b173 - 46424*
    b170*b200 + 82226*b171*b174 - 46424*b171*b201 + 116524*b172*b175 - 59183*
    b172*b202 + 116524*b173*b176 - 59183*b173*b203 + 116524*b174*b177 - 59183*
    b174*b204 + 10300*b175*b178 - 12844*b175*b205 + 10300*b176*b179 - 12844*
    b176*b206 + 10300*b177*b180 - 12844*b177*b207 - 51909*b178*b208 - 51909*
    b179*b209 - 51909*b180*b210 - 120463*b181*b184 + 110062*b181*b208 + 58801*
    b181*b211 - 120463*b182*b185 + 110062*b182*b209 + 58801*b182*b212 - 120463*
    b183*b186 + 110062*b183*b210 + 58801*b183*b213 - 108142*b184*b187 - 210930*
    b184*b214 - 108142*b185*b188 - 210930*b185*b215 - 108142*b186*b189 - 210930
    *b186*b216 + 145601*b187*b190 + 104550*b187*b217 + 145601*b188*b191 + 
    104550*b188*b218 + 145601*b189*b192 + 104550*b189*b219 + 231665*b190*b193
     + 51705*b190*b220 + 231665*b191*b194 + 51705*b191*b221 + 231665*b192*b195
     + 51705*b192*b222 - 49380*b193*b196 + 21233*b193*b223 - 49380*b194*b197 + 
    21233*b194*b224 - 49380*b195*b198 + 21233*b195*b225 + 61670*b196*b199 - 
    101100*b196*b226 + 61670*b197*b200 - 101100*b197*b227 + 61670*b198*b201 - 
    101100*b198*b228 + 66074*b199*b202 - 103726*b199*b229 + 66074*b200*b203 - 
    103726*b200*b230 + 66074*b201*b204 - 103726*b201*b231 + 23275*b202*b205 - 
    239558*b202*b232 + 23275*b203*b206 - 239558*b203*b233 + 23275*b204*b207 - 
    239558*b204*b234 - 144999*b205*b208 + 30889*b205*b235 - 144999*b206*b209 + 
    30889*b206*b236 - 144999*b207*b210 + 30889*b207*b237 - 65255*b208*b238 - 
    65255*b209*b239 - 65255*b210*b240 - 208953*b211*b214 + 11477*b211*b238 + 
    268429*b211*b241 - 208953*b212*b215 + 11477*b212*b239 + 268429*b212*b242 - 
    208953*b213*b216 + 11477*b213*b240 + 268429*b213*b243 + 26984*b214*b217 - 
    170553*b214*b244 + 26984*b215*b218 - 170553*b215*b245 + 26984*b216*b219 - 
    170553*b216*b246 + 69156*b217*b220 + 44984*b217*b247 + 69156*b218*b221 + 
    44984*b218*b248 + 69156*b219*b222 + 44984*b219*b249 - 23255*b220*b223 - 
    5961*b220*b250 - 23255*b221*b224 - 5961*b221*b251 - 23255*b222*b225 - 5961*
    b222*b252 + 71643*b223*b226 + 57314*b223*b253 + 71643*b224*b227 + 57314*
    b224*b254 + 71643*b225*b228 + 57314*b225*b255 + 18626*b226*b229 + 243235*
    b226*b256 + 18626*b227*b230 + 243235*b227*b257 + 18626*b228*b231 + 243235*
    b228*b258 - 32740*b229*b232 - 41971*b229*b259 - 32740*b230*b233 - 41971*
    b230*b260 - 32740*b231*b234 - 41971*b231*b261 + 59354*b232*b235 + 63438*
    b232*b262 + 59354*b233*b236 + 63438*b233*b263 + 59354*b234*b237 + 63438*
    b234*b264 + 2745*b235*b238 + 1963*b235*b265 + 2745*b236*b239 + 1963*b236*
    b266 + 2745*b237*b240 + 1963*b237*b267 + 19196*b238*b268 + 19196*b239*b269
     + 19196*b240*b270 + 29280*b241*b244 + 9212*b241*b268 + 152008*b241*b271 + 
    29280*b242*b245 + 9212*b242*b269 + 152008*b242*b272 + 29280*b243*b246 + 
    9212*b243*b270 + 152008*b243*b273 + 37618*b244*b247 + 6449*b244*b274 + 
    37618*b245*b248 + 6449*b245*b275 + 37618*b246*b249 + 6449*b246*b276 + 
    101612*b247*b250 - 104102*b247*b277 + 101612*b248*b251 - 104102*b248*b278
     + 101612*b249*b252 - 104102*b249*b279 + 33724*b250*b253 + 126817*b250*b280
     + 33724*b251*b254 + 126817*b251*b281 + 33724*b252*b255 + 126817*b252*b282
     + 72754*b253*b256 - 17622*b253*b283 + 72754*b254*b257 - 17622*b254*b284 + 
    72754*b255*b258 - 17622*b255*b285 + 73668*b256*b259 + 161048*b256*b286 + 
    73668*b257*b260 + 161048*b257*b287 + 73668*b258*b261 + 161048*b258*b288 - 
    55290*b259*b262 + 69537*b259*b289 - 55290*b260*b263 + 69537*b260*b290 - 
    55290*b261*b264 + 69537*b261*b291 - 142640*b262*b265 + 50161*b262*b292 - 
    142640*b263*b266 + 50161*b263*b293 - 142640*b264*b267 + 50161*b264*b294 + 
    115122*b265*b268 + 209308*b265*b295 + 115122*b266*b269 + 209308*b266*b296
     + 115122*b267*b270 + 209308*b267*b297 - 89633*b268*b298 - 89633*b269*b299
     - 89633*b270*b300 + 85472*b271*b274 - 65488*b271*b298 + 85472*b272*b275 - 
    65488*b272*b299 + 85472*b273*b276 - 65488*b273*b300 - 97644*b274*b277 - 
    97644*b275*b278 - 97644*b276*b279 - 22383*b277*b280 - 22383*b278*b281 - 
    22383*b279*b282 + 39505*b280*b283 + 39505*b281*b284 + 39505*b282*b285 - 
    26866*b283*b286 - 26866*b284*b287 - 26866*b285*b288 - 104695*b286*b289 - 
    104695*b287*b290 - 104695*b288*b291 - 118676*b289*b292 - 118676*b290*b293
     - 118676*b291*b294 - 80157*b292*b295 - 80157*b293*b296 - 80157*b294*b297
     - 29119*b295*b298 - 29119*b296*b299 - 29119*b297*b300;

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;

e65:    b193 + b194 + b195 = 1;

e66:    b196 + b197 + b198 = 1;

e67:    b199 + b200 + b201 = 1;

e68:    b202 + b203 + b204 = 1;

e69:    b205 + b206 + b207 = 1;

e70:    b208 + b209 + b210 = 1;

e71:    b211 + b212 + b213 = 1;

e72:    b214 + b215 + b216 = 1;

e73:    b217 + b218 + b219 = 1;

e74:    b220 + b221 + b222 = 1;

e75:    b223 + b224 + b225 = 1;

e76:    b226 + b227 + b228 = 1;

e77:    b229 + b230 + b231 = 1;

e78:    b232 + b233 + b234 = 1;

e79:    b235 + b236 + b237 = 1;

e80:    b238 + b239 + b240 = 1;

e81:    b241 + b242 + b243 = 1;

e82:    b244 + b245 + b246 = 1;

e83:    b247 + b248 + b249 = 1;

e84:    b250 + b251 + b252 = 1;

e85:    b253 + b254 + b255 = 1;

e86:    b256 + b257 + b258 = 1;

e87:    b259 + b260 + b261 = 1;

e88:    b262 + b263 + b264 = 1;

e89:    b265 + b266 + b267 = 1;

e90:    b268 + b269 + b270 = 1;

e91:    b271 + b272 + b273 = 1;

e92:    b274 + b275 + b276 = 1;

e93:    b277 + b278 + b279 = 1;

e94:    b280 + b281 + b282 = 1;

e95:    b283 + b284 + b285 = 1;

e96:    b286 + b287 + b288 = 1;

e97:    b289 + b290 + b291 = 1;

e98:    b292 + b293 + b294 = 1;

e99:    b295 + b296 + b297 = 1;

e100:    b298 + b299 + b300 = 1;