#  MINLP written by GAMS Convert at 01/12/18 13:42:55
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        441       41        0      400        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        411      401       10        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       1611     1211      400        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= 0;
var x2 >= 0;
var x3 >= 0;
var x4 >= 0;
var x5 >= 0;
var x6 >= 0;
var x7 >= 0;
var x8 >= 0;
var x9 >= 0;
var x10 >= 0;
var x11 >= 0;
var x12 >= 0;
var x13 >= 0;
var x14 >= 0;
var x15 >= 0;
var x16 >= 0;
var x17 >= 0;
var x18 >= 0;
var x19 >= 0;
var x20 >= 0;
var x21 >= 0;
var x22 >= 0;
var x23 >= 0;
var x24 >= 0;
var x25 >= 0;
var x26 >= 0;
var x27 >= 0;
var x28 >= 0;
var x29 >= 0;
var x30 >= 0;
var x31 >= 0;
var x32 >= 0;
var x33 >= 0;
var x34 >= 0;
var x35 >= 0;
var x36 >= 0;
var x37 >= 0;
var x38 >= 0;
var x39 >= 0;
var x40 >= 0;
var x41 >= 0;
var x42 >= 0;
var x43 >= 0;
var x44 >= 0;
var x45 >= 0;
var x46 >= 0;
var x47 >= 0;
var x48 >= 0;
var x49 >= 0;
var x50 >= 0;
var x51 >= 0;
var x52 >= 0;
var x53 >= 0;
var x54 >= 0;
var x55 >= 0;
var x56 >= 0;
var x57 >= 0;
var x58 >= 0;
var x59 >= 0;
var x60 >= 0;
var x61 >= 0;
var x62 >= 0;
var x63 >= 0;
var x64 >= 0;
var x65 >= 0;
var x66 >= 0;
var x67 >= 0;
var x68 >= 0;
var x69 >= 0;
var x70 >= 0;
var x71 >= 0;
var x72 >= 0;
var x73 >= 0;
var x74 >= 0;
var x75 >= 0;
var x76 >= 0;
var x77 >= 0;
var x78 >= 0;
var x79 >= 0;
var x80 >= 0;
var x81 >= 0;
var x82 >= 0;
var x83 >= 0;
var x84 >= 0;
var x85 >= 0;
var x86 >= 0;
var x87 >= 0;
var x88 >= 0;
var x89 >= 0;
var x90 >= 0;
var x91 >= 0;
var x92 >= 0;
var x93 >= 0;
var x94 >= 0;
var x95 >= 0;
var x96 >= 0;
var x97 >= 0;
var x98 >= 0;
var x99 >= 0;
var x100 >= 0;
var x101 >= 0;
var x102 >= 0;
var x103 >= 0;
var x104 >= 0;
var x105 >= 0;
var x106 >= 0;
var x107 >= 0;
var x108 >= 0;
var x109 >= 0;
var x110 >= 0;
var x111 >= 0;
var x112 >= 0;
var x113 >= 0;
var x114 >= 0;
var x115 >= 0;
var x116 >= 0;
var x117 >= 0;
var x118 >= 0;
var x119 >= 0;
var x120 >= 0;
var x121 >= 0;
var x122 >= 0;
var x123 >= 0;
var x124 >= 0;
var x125 >= 0;
var x126 >= 0;
var x127 >= 0;
var x128 >= 0;
var x129 >= 0;
var x130 >= 0;
var x131 >= 0;
var x132 >= 0;
var x133 >= 0;
var x134 >= 0;
var x135 >= 0;
var x136 >= 0;
var x137 >= 0;
var x138 >= 0;
var x139 >= 0;
var x140 >= 0;
var x141 >= 0;
var x142 >= 0;
var x143 >= 0;
var x144 >= 0;
var x145 >= 0;
var x146 >= 0;
var x147 >= 0;
var x148 >= 0;
var x149 >= 0;
var x150 >= 0;
var x151 >= 0;
var x152 >= 0;
var x153 >= 0;
var x154 >= 0;
var x155 >= 0;
var x156 >= 0;
var x157 >= 0;
var x158 >= 0;
var x159 >= 0;
var x160 >= 0;
var x161 >= 0;
var x162 >= 0;
var x163 >= 0;
var x164 >= 0;
var x165 >= 0;
var x166 >= 0;
var x167 >= 0;
var x168 >= 0;
var x169 >= 0;
var x170 >= 0;
var x171 >= 0;
var x172 >= 0;
var x173 >= 0;
var x174 >= 0;
var x175 >= 0;
var x176 >= 0;
var x177 >= 0;
var x178 >= 0;
var x179 >= 0;
var x180 >= 0;
var x181 >= 0;
var x182 >= 0;
var x183 >= 0;
var x184 >= 0;
var x185 >= 0;
var x186 >= 0;
var x187 >= 0;
var x188 >= 0;
var x189 >= 0;
var x190 >= 0;
var x191 >= 0;
var x192 >= 0;
var x193 >= 0;
var x194 >= 0;
var x195 >= 0;
var x196 >= 0;
var x197 >= 0;
var x198 >= 0;
var x199 >= 0;
var x200 >= 0;
var x201 >= 0;
var x202 >= 0;
var x203 >= 0;
var x204 >= 0;
var x205 >= 0;
var x206 >= 0;
var x207 >= 0;
var x208 >= 0;
var x209 >= 0;
var x210 >= 0;
var x211 >= 0;
var x212 >= 0;
var x213 >= 0;
var x214 >= 0;
var x215 >= 0;
var x216 >= 0;
var x217 >= 0;
var x218 >= 0;
var x219 >= 0;
var x220 >= 0;
var x221 >= 0;
var x222 >= 0;
var x223 >= 0;
var x224 >= 0;
var x225 >= 0;
var x226 >= 0;
var x227 >= 0;
var x228 >= 0;
var x229 >= 0;
var x230 >= 0;
var x231 >= 0;
var x232 >= 0;
var x233 >= 0;
var x234 >= 0;
var x235 >= 0;
var x236 >= 0;
var x237 >= 0;
var x238 >= 0;
var x239 >= 0;
var x240 >= 0;
var x241 >= 0;
var x242 >= 0;
var x243 >= 0;
var x244 >= 0;
var x245 >= 0;
var x246 >= 0;
var x247 >= 0;
var x248 >= 0;
var x249 >= 0;
var x250 >= 0;
var x251 >= 0;
var x252 >= 0;
var x253 >= 0;
var x254 >= 0;
var x255 >= 0;
var x256 >= 0;
var x257 >= 0;
var x258 >= 0;
var x259 >= 0;
var x260 >= 0;
var x261 >= 0;
var x262 >= 0;
var x263 >= 0;
var x264 >= 0;
var x265 >= 0;
var x266 >= 0;
var x267 >= 0;
var x268 >= 0;
var x269 >= 0;
var x270 >= 0;
var x271 >= 0;
var x272 >= 0;
var x273 >= 0;
var x274 >= 0;
var x275 >= 0;
var x276 >= 0;
var x277 >= 0;
var x278 >= 0;
var x279 >= 0;
var x280 >= 0;
var x281 >= 0;
var x282 >= 0;
var x283 >= 0;
var x284 >= 0;
var x285 >= 0;
var x286 >= 0;
var x287 >= 0;
var x288 >= 0;
var x289 >= 0;
var x290 >= 0;
var x291 >= 0;
var x292 >= 0;
var x293 >= 0;
var x294 >= 0;
var x295 >= 0;
var x296 >= 0;
var x297 >= 0;
var x298 >= 0;
var x299 >= 0;
var x300 >= 0;
var x301 >= 0;
var x302 >= 0;
var x303 >= 0;
var x304 >= 0;
var x305 >= 0;
var x306 >= 0;
var x307 >= 0;
var x308 >= 0;
var x309 >= 0;
var x310 >= 0;
var x311 >= 0;
var x312 >= 0;
var x313 >= 0;
var x314 >= 0;
var x315 >= 0;
var x316 >= 0;
var x317 >= 0;
var x318 >= 0;
var x319 >= 0;
var x320 >= 0;
var x321 >= 0;
var x322 >= 0;
var x323 >= 0;
var x324 >= 0;
var x325 >= 0;
var x326 >= 0;
var x327 >= 0;
var x328 >= 0;
var x329 >= 0;
var x330 >= 0;
var x331 >= 0;
var x332 >= 0;
var x333 >= 0;
var x334 >= 0;
var x335 >= 0;
var x336 >= 0;
var x337 >= 0;
var x338 >= 0;
var x339 >= 0;
var x340 >= 0;
var x341 >= 0;
var x342 >= 0;
var x343 >= 0;
var x344 >= 0;
var x345 >= 0;
var x346 >= 0;
var x347 >= 0;
var x348 >= 0;
var x349 >= 0;
var x350 >= 0;
var x351 >= 0;
var x352 >= 0;
var x353 >= 0;
var x354 >= 0;
var x355 >= 0;
var x356 >= 0;
var x357 >= 0;
var x358 >= 0;
var x359 >= 0;
var x360 >= 0;
var x361 >= 0;
var x362 >= 0;
var x363 >= 0;
var x364 >= 0;
var x365 >= 0;
var x366 >= 0;
var x367 >= 0;
var x368 >= 0;
var x369 >= 0;
var x370 >= 0;
var x371 >= 0;
var x372 >= 0;
var x373 >= 0;
var x374 >= 0;
var x375 >= 0;
var x376 >= 0;
var x377 >= 0;
var x378 >= 0;
var x379 >= 0;
var x380 >= 0;
var x381 >= 0;
var x382 >= 0;
var x383 >= 0;
var x384 >= 0;
var x385 >= 0;
var x386 >= 0;
var x387 >= 0;
var x388 >= 0;
var x389 >= 0;
var x390 >= 0;
var x391 >= 0;
var x392 >= 0;
var x393 >= 0;
var x394 >= 0;
var x395 >= 0;
var x396 >= 0;
var x397 >= 0;
var x398 >= 0;
var x399 >= 0;
var x400 >= 0;
var b401 binary >= 0, <= 1;
var b402 binary >= 0, <= 1;
var b403 binary >= 0, <= 1;
var b404 binary >= 0, <= 1;
var b405 binary >= 0, <= 1;
var b406 binary >= 0, <= 1;
var b407 binary >= 0, <= 1;
var b408 binary >= 0, <= 1;
var b409 binary >= 0, <= 1;
var b410 binary >= 0, <= 1;

minimize obj: 22.6381215938389*x1*x1 + 17.4766742929333*x2*x2 + 
    25.4187922554943*x3*x3 + 27.1035680108328*x4*x4 + 23.5265920480145*x5*x5 + 
    15.0632062277023*x6*x6 + 20.9421663198548*x7*x7 + 26.8892056897746*x8*x8 + 
    20.0917422875622*x9*x9 + 22.0772847970411*x10*x10 + 27.2388846140546*x11*
    x11 + 9.91963706190005*x12*x12 + 19.7178101724914*x13*x13 + 
    24.8309507278873*x14*x14 + 8.9002697856764*x15*x15 + 16.6041126627463*x16*
    x16 + 20.9076060331827*x17*x17 + 16.4388004434191*x18*x18 + 
    16.5182812638846*x19*x19 + 9.88089720278549*x20*x20 + 12.1667353823901*x21*
    x21 + 24.3980080339173*x22*x22 + 5.89692650301416*x23*x23 + 
    27.3832431206695*x24*x24 + 25.1917920228286*x25*x25 + 22.2371740468545*x26*
    x26 + 18.6146514682277*x27*x27 + 16.2386002137011*x28*x28 + 
    11.7825630607253*x29*x29 + 16.4103192237971*x30*x30 + 14.0196662324014*x31*
    x31 + 27.5888902829072*x32*x32 + 32.1142581799004*x33*x33 + 
    21.8448948139885*x34*x34 + 15.6688171723033*x35*x35 + 10.5878182197044*x36*
    x36 + 21.2659919405636*x37*x37 + 19.9399176135982*x38*x38 + 
    20.4104873074429*x39*x39 + 13.8610580105744*x40*x40 + 45.1831182079448*x41*
    x41 + 41.8922529723062*x42*x42 + 25.9983886435708*x43*x43 + 
    18.4146205683989*x44*x44 + 44.4508052690104*x45*x45 + 43.222614022418*x46*
    x46 + 7.83087186917261*x47*x47 + 44.0974324424632*x48*x48 + 
    24.1032080114607*x49*x49 + 21.3901261474851*x50*x50 + 14.2786694069753*x51*
    x51 + 19.6496550606165*x52*x52 + 37.1545124093958*x53*x53 + 
    48.6880643503487*x54*x54 + 37.4288246723691*x55*x55 + 21.1065932390664*x56*
    x56 + 8.59743563059761*x57*x57 + 43.7082794462957*x58*x58 + 
    26.9893113680541*x59*x59 + 38.4147587357678*x60*x60 + 27.6431119850894*x61*
    x61 + 27.2081707885029*x62*x62 + 26.180086548645*x63*x63 + 23.4793052891068
    *x64*x64 + 8.05600976794875*x65*x65 + 43.6070455642507*x66*x66 + 
    45.5814383894113*x67*x67 + 24.8259847424505*x68*x68 + 40.3429322999097*x69*
    x69 + 34.7333648360789*x70*x70 + 39.6370142018807*x71*x71 + 
    15.7319707168115*x72*x72 + 10.2078177848558*x73*x73 + 33.6787428698496*x74*
    x74 + 40.2454233156587*x75*x75 + 36.634811099167*x76*x76 + 22.27676876787*
    x77*x77 + 26.5232783828231*x78*x78 + 43.5517742892559*x79*x79 + 
    41.5350353466256*x80*x80 + 41.8335888980131*x81*x81 + 48.5376172984876*x82*
    x82 + 38.3466968942412*x83*x83 + 8.41612312434711*x84*x84 + 
    52.7549779687686*x85*x85 + 47.0825798478005*x86*x86 + 17.3796675041212*x87*
    x87 + 38.1234862605185*x88*x88 + 35.3396889090277*x89*x89 + 
    14.4643524524883*x90*x90 + 5.34829959943684*x91*x91 + 22.2653351256225*x92*
    x92 + 46.2454200528829*x93*x93 + 55.8374582944024*x94*x94 + 
    40.6308664485861*x95*x95 + 31.4335072617773*x96*x96 + 13.4112067223631*x97*
    x97 + 48.5696936037444*x98*x98 + 36.8993023115838*x99*x99 + 
    40.9836123190193*x100*x100 + 25.6312719069291*x101*x101 + 39.2062655130486*
    x102*x102 + 27.5420044062431*x103*x103 + 13.2995411207383*x104*x104 + 
    8.46899828859079*x105*x105 + 39.825353158153*x106*x106 + 50.7145370144725*
    x107*x107 + 20.9305616681182*x108*x108 + 43.0974611923811*x109*x109 + 
    31.2589828634291*x110*x110 + 39.0004467733683*x111*x111 + 5.85207457485276*
    x112*x112 + 4.05707679016365*x113*x113 + 27.4118952163913*x114*x114 + 
    46.7403642600311*x115*x115 + 42.1857296019859*x116*x116 + 33.9770380372982*
    x117*x117 + 37.4815569098476*x118*x118 + 40.7766875146816*x119*x119 + 
    42.3432110912681*x120*x120 + 41.8096676388354*x121*x121 + 18.5696808935251*
    x122*x122 + 7.58990279485765*x123*x123 + 37.8694515922791*x124*x124 + 
    17.7230764563209*x125*x125 + 25.4760814821429*x126*x126 + 21.7375222978638*
    x127*x127 + 46.2693611273112*x128*x128 + 4.54660149955549*x129*x129 + 
    35.4495510183106*x130*x130 + 35.7984880582191*x131*x131 + 21.901140187113*
    x132*x132 + 10.0418757457177*x133*x133 + 23.3064810423527*x134*x134 + 
    23.3941126275948*x135*x135 + 7.47045385542959*x136*x136 + 25.5396143114494*
    x137*x137 + 23.6714747719547*x138*x138 + 2.96080784760476*x139*x139 + 
    25.3193751498536*x140*x140 + 30.0182424556163*x141*x141 + 5.83084524853944*
    x142*x142 + 23.6514987581814*x143*x143 + 40.5072826571826*x144*x144 + 
    30.4312990116754*x145*x145 + 41.5896374550884*x146*x146 + 24.501600970022*
    x147*x147 + 32.2666564456072*x148*x148 + 26.024154868957*x149*x149 + 
    35.6018006285022*x150*x150 + 32.7659324359211*x151*x151 + 36.8394615362202*
    x152*x152 + 36.7889144303202*x153*x153 + 40.0508174481167*x154*x154 + 
    17.6775070488635*x155*x155 + 17.579862644958*x156*x156 + 6.86014064091719*
    x157*x157 + 2.07714802960749*x158*x158 + 39.5431633780402*x159*x159 + 
    30.9129885122014*x160*x160 + 53.7186648061791*x161*x161 + 34.3820347456099*
    x162*x162 + 8.45720703763966*x163*x163 + 39.0462093345896*x164*x164 + 
    32.8211593848664*x165*x165 + 40.7771865823617*x166*x166 + 20.6422254432407*
    x167*x167 + 56.3016199376175*x168*x168 + 12.2817800194979*x169*x169 + 
    39.2313614019054*x170*x170 + 35.6110459801796*x171*x171 + 28.8191322549938*
    x172*x172 + 25.4018036358971*x173*x173 + 38.7666408171936*x174*x174 + 
    37.6390516445844*x175*x175 + 14.7674823830956*x176*x176 + 25.5404894453816*
    x177*x177 + 39.3018592559483*x178*x178 + 17.3036764948037*x179*x179 + 
    39.4235548336344*x180*x180 + 38.6270585541198*x181*x181 + 10.4664070033472*
    x182*x182 + 33.421447798866*x183*x183 + 43.2253499251171*x184*x184 + 
    29.0353047005975*x185*x185 + 52.9939023039257*x186*x186 + 40.257102945243*
    x187*x187 + 38.860600314683*x188*x188 + 40.5310486179103*x189*x189 + 
    45.4664216368371*x190*x190 + 45.3664020287264*x191*x191 + 36.9853554415264*
    x192*x192 + 33.2334839165221*x193*x193 + 47.9235093921672*x194*x194 + 
    33.4578416904374*x195*x195 + 32.7840695566077*x196*x196 + 10.3918855404927*
    x197*x197 + 13.9412830659727*x198*x198 + 51.5589519223998*x199*x199 + 
    44.6297171500498*x200*x200 + 5.03578594523779*x201*x201 + 37.4404577512541*
    x202*x202 + 52.2890120452314*x203*x203 + 34.3084269352542*x204*x204 + 
    44.9435455193515*x205*x205 + 28.2352259654236*x206*x206 + 41.8904668111533*
    x207*x207 + 5.64271600685258*x208*x208 + 46.9476166854874*x209*x209 + 
    28.204133151871*x210*x210 + 37.5697000911988*x211*x211 + 29.66685902145*
    x212*x212 + 44.3764783036202*x213*x213 + 42.7306933628219*x214*x214 + 
    25.0259194658902*x215*x215 + 43.1543462837962*x216*x216 + 38.9006762532103*
    x217*x217 + 31.8503621890833*x218*x218 + 43.4090648742872*x219*x219 + 
    23.2155495830162*x220*x220 + 20.0548712314252*x221*x221 + 51.322679415969*
    x222*x222 + 24.1985866512624*x223*x223 + 30.2876618075196*x224*x224 + 
    40.4277171009428*x225*x225 + 4.69431032029112*x226*x226 + 33.5837934597402*
    x227*x227 + 22.7256264744553*x228*x228 + 23.9555349956953*x229*x229 + 
    12.7864503611938*x230*x230 + 14.1149460489645*x231*x231 + 36.790909599442*
    x232*x232 + 45.0817317430598*x233*x233 + 15.318409918112*x234*x234 + 
    36.253786112845*x235*x235 + 32.0416926874248*x236*x236 + 47.9306160802448*
    x237*x237 + 46.8674235171167*x238*x238 + 7.18399099787989*x239*x239 + 
    18.0505401904308*x240*x240 + 44.7287111449789*x241*x241 + 30.6232755828315*
    x242*x242 + 10.6771654987561*x243*x243 + 29.3059852713714*x244*x244 + 
    31.3354092780053*x245*x245 + 34.9201089470929*x246*x246 + 10.911707849544*
    x247*x247 + 46.6447152040867*x248*x248 + 9.38377945719671*x249*x249 + 
    29.1364340056671*x250*x250 + 26.1399401773719*x251*x251 + 18.9877774506963*
    x252*x252 + 23.6766288819354*x253*x253 + 36.4709352709649*x254*x254 + 
    30.6126660558619*x255*x255 + 8.20138795993052*x256*x256 + 15.7574588196867*
    x257*x257 + 34.2383277706259*x258*x258 + 13.514731450789*x259*x259 + 
    32.1889581251023*x260*x260 + 28.8756832982819*x261*x261 + 11.8955819083831*
    x262*x262 + 24.1432327217846*x263*x263 + 33.2672158516152*x264*x264 + 
    19.762672671567*x265*x265 + 43.8078485358854*x266*x266 + 35.6517872406019*
    x267*x267 + 28.7979036742901*x268*x268 + 33.6355449186036*x269*x269 + 
    35.8971159030184*x270*x270 + 36.883677189865*x271*x271 + 27.4515367392261*
    x272*x272 + 24.9528026830374*x273*x273 + 37.9312228071009*x274*x274 + 
    29.2837944824625*x275*x275 + 27.1625585907911*x276*x276 + 7.2350848701947*
    x277*x277 + 11.9047505480768*x278*x278 + 42.6513971007399*x279*x279 + 
    36.89043170665*x280*x280 + 6.64903572985773*x281*x281 + 36.3350815872672*
    x282*x282 + 48.6146960230928*x283*x283 + 28.7530636938365*x284*x284 + 
    43.7434810880439*x285*x285 + 27.8630451485851*x286*x286 + 36.8692783297684*
    x287*x287 + 3.33752527142452*x288*x288 + 43.2844490902929*x289*x289 + 
    22.6485467323464*x290*x290 + 32.0169563988473*x291*x291 + 24.9793841704878*
    x292*x292 + 42.2539841897742*x293*x293 + 42.2898290850982*x294*x294 + 
    23.535071385932*x295*x295 + 39.2722131698529*x296*x296 + 33.6652138664848*
    x297*x297 + 31.365585927833*x298*x298 + 40.1272627793756*x299*x299 + 
    21.9477510844632*x300*x300 + 15.1450838827131*x301*x301 + 47.8018420811269*
    x302*x302 + 20.0524699401293*x303*x303 + 24.793197977801*x304*x304 + 
    34.9939202568467*x305*x305 + 4.46451261754726*x306*x306 + 33.3198013233866*
    x307*x307 + 17.3256727590746*x308*x308 + 23.1352262436616*x309*x309 + 
    7.97110816789644*x310*x310 + 12.8672542662809*x311*x311 + 31.2323288225166*
    x312*x312 + 39.5401264290339*x313*x313 + 9.79632624179721*x314*x314 + 
    34.9550685057948*x315*x315 + 30.3129022151735*x316*x316 + 44.0718410417534*
    x317*x317 + 43.443587696992*x318*x318 + 7.46032996003402*x319*x319 + 
    17.6385972587031*x320*x320 + 47.3623560393508*x321*x321 + 28.076068317874*
    x322*x322 + 3.94519676151653*x323*x323 + 35.7463602537431*x324*x324 + 
    27.2510415470059*x325*x325 + 34.1223028388969*x326*x326 + 17.5567214281191*
    x327*x327 + 50.3743988099625*x328*x328 + 5.6590918620866*x329*x329 + 
    34.9780577982336*x330*x330 + 32.778655850946*x331*x331 + 23.3213666648354*
    x332*x332 + 19.6231746010511*x333*x333 + 32.9468637652925*x334*x334 + 
    30.9395752881326*x335*x335 + 8.25314573977791*x336*x336 + 22.282009707736*
    x337*x337 + 32.7487371347579*x338*x338 + 10.732706072358*x339*x339 + 
    32.7319606989467*x340*x340 + 32.8999121905967*x341*x341 + 5.55476070673105*
    x342*x342 + 27.3378028092636*x343*x343 + 39.4220274031084*x344*x344 + 
    26.5179831202782*x345*x345 + 46.73622174105*x346*x346 + 33.7929660091746*
    x347*x347 + 33.6946284279739*x348*x348 + 33.8270327751106*x349*x349 + 
    39.5062161815598*x350*x350 + 38.8560640891196*x351*x351 + 34.0495249267681*
    x352*x352 + 31.8172613223881*x353*x353 + 42.5075613284177*x354*x354 + 
    27.0453220696648*x355*x355 + 26.1304188859277*x356*x356 + 3.69037126260968*
    x357*x357 + 7.63043300249988*x358*x358 + 45.1739476749785*x359*x359 + 
    37.9751942193799*x360*x360 + 20.7529705896298*x361*x361 + 14.3893321866194*
    x362*x362 + 28.0817490698092*x363*x363 + 31.4238046558608*x364*x364 + 
    21.2794747772648*x365*x365 + 10.1834356269501*x366*x366 + 25.9014119165658*
    x367*x367 + 26.4883984185792*x368*x368 + 22.9076512770755*x369*x369 + 
    25.997089184782*x370*x370 + 31.8823915967004*x371*x371 + 14.8080477345421*
    x372*x372 + 19.1010850759357*x373*x373 + 21.4509246095069*x374*x374 + 
    3.88397054710166*x375*x375 + 20.0589377640637*x376*x376 + 25.9149998836053*
    x377*x377 + 11.9924452452965*x378*x378 + 18.6176990335993*x379*x379 + 
    5.02472422177832*x380*x380 + 14.8008188904632*x381*x381 + 26.7875251230091*
    x382*x382 + 9.67687108012286*x383*x383 + 31.1767205303097*x384*x384 + 
    30.1406979856964*x385*x385 + 20.8511059740515*x386*x386 + 14.2363298453376*
    x387*x387 + 19.5722735572342*x388*x388 + 6.80248295322444*x389*x389 + 
    16.9867420360034*x390*x390 + 11.5518321715263*x391*x391 + 32.1358835441953*
    x392*x392 + 37.0226994405158*x393*x393 + 23.4627429415224*x394*x394 + 
    12.7078688009999*x395*x395 + 7.58658819030826*x396*x396 + 24.4312631498729*
    x397*x397 + 22.2514570586902*x398*x398 + 18.4755526211779*x399*x399 + 
    9.86807133301415*x400*x400 + 62*b401 + 3*b402 + 68*b403 + 19*b404 + 9*b405
     + 18*b406 + 48*b407 + 44*b408 + 96*b409 + 25*b410;

subject to

e2:    x1 - b401 <= 0;

e3:    x2 - b401 <= 0;

e4:    x3 - b401 <= 0;

e5:    x4 - b401 <= 0;

e6:    x5 - b401 <= 0;

e7:    x6 - b401 <= 0;

e8:    x7 - b401 <= 0;

e9:    x8 - b401 <= 0;

e10:    x9 - b401 <= 0;

e11:    x10 - b401 <= 0;

e12:    x11 - b401 <= 0;

e13:    x12 - b401 <= 0;

e14:    x13 - b401 <= 0;

e15:    x14 - b401 <= 0;

e16:    x15 - b401 <= 0;

e17:    x16 - b401 <= 0;

e18:    x17 - b401 <= 0;

e19:    x18 - b401 <= 0;

e20:    x19 - b401 <= 0;

e21:    x20 - b401 <= 0;

e22:    x21 - b401 <= 0;

e23:    x22 - b401 <= 0;

e24:    x23 - b401 <= 0;

e25:    x24 - b401 <= 0;

e26:    x25 - b401 <= 0;

e27:    x26 - b401 <= 0;

e28:    x27 - b401 <= 0;

e29:    x28 - b401 <= 0;

e30:    x29 - b401 <= 0;

e31:    x30 - b401 <= 0;

e32:    x31 - b401 <= 0;

e33:    x32 - b401 <= 0;

e34:    x33 - b401 <= 0;

e35:    x34 - b401 <= 0;

e36:    x35 - b401 <= 0;

e37:    x36 - b401 <= 0;

e38:    x37 - b401 <= 0;

e39:    x38 - b401 <= 0;

e40:    x39 - b401 <= 0;

e41:    x40 - b401 <= 0;

e42:    x41 - b402 <= 0;

e43:    x42 - b402 <= 0;

e44:    x43 - b402 <= 0;

e45:    x44 - b402 <= 0;

e46:    x45 - b402 <= 0;

e47:    x46 - b402 <= 0;

e48:    x47 - b402 <= 0;

e49:    x48 - b402 <= 0;

e50:    x49 - b402 <= 0;

e51:    x50 - b402 <= 0;

e52:    x51 - b402 <= 0;

e53:    x52 - b402 <= 0;

e54:    x53 - b402 <= 0;

e55:    x54 - b402 <= 0;

e56:    x55 - b402 <= 0;

e57:    x56 - b402 <= 0;

e58:    x57 - b402 <= 0;

e59:    x58 - b402 <= 0;

e60:    x59 - b402 <= 0;

e61:    x60 - b402 <= 0;

e62:    x61 - b402 <= 0;

e63:    x62 - b402 <= 0;

e64:    x63 - b402 <= 0;

e65:    x64 - b402 <= 0;

e66:    x65 - b402 <= 0;

e67:    x66 - b402 <= 0;

e68:    x67 - b402 <= 0;

e69:    x68 - b402 <= 0;

e70:    x69 - b402 <= 0;

e71:    x70 - b402 <= 0;

e72:    x71 - b402 <= 0;

e73:    x72 - b402 <= 0;

e74:    x73 - b402 <= 0;

e75:    x74 - b402 <= 0;

e76:    x75 - b402 <= 0;

e77:    x76 - b402 <= 0;

e78:    x77 - b402 <= 0;

e79:    x78 - b402 <= 0;

e80:    x79 - b402 <= 0;

e81:    x80 - b402 <= 0;

e82:    x81 - b403 <= 0;

e83:    x82 - b403 <= 0;

e84:    x83 - b403 <= 0;

e85:    x84 - b403 <= 0;

e86:    x85 - b403 <= 0;

e87:    x86 - b403 <= 0;

e88:    x87 - b403 <= 0;

e89:    x88 - b403 <= 0;

e90:    x89 - b403 <= 0;

e91:    x90 - b403 <= 0;

e92:    x91 - b403 <= 0;

e93:    x92 - b403 <= 0;

e94:    x93 - b403 <= 0;

e95:    x94 - b403 <= 0;

e96:    x95 - b403 <= 0;

e97:    x96 - b403 <= 0;

e98:    x97 - b403 <= 0;

e99:    x98 - b403 <= 0;

e100:    x99 - b403 <= 0;

e101:    x100 - b403 <= 0;

e102:    x101 - b403 <= 0;

e103:    x102 - b403 <= 0;

e104:    x103 - b403 <= 0;

e105:    x104 - b403 <= 0;

e106:    x105 - b403 <= 0;

e107:    x106 - b403 <= 0;

e108:    x107 - b403 <= 0;

e109:    x108 - b403 <= 0;

e110:    x109 - b403 <= 0;

e111:    x110 - b403 <= 0;

e112:    x111 - b403 <= 0;

e113:    x112 - b403 <= 0;

e114:    x113 - b403 <= 0;

e115:    x114 - b403 <= 0;

e116:    x115 - b403 <= 0;

e117:    x116 - b403 <= 0;

e118:    x117 - b403 <= 0;

e119:    x118 - b403 <= 0;

e120:    x119 - b403 <= 0;

e121:    x120 - b403 <= 0;

e122:    x121 - b404 <= 0;

e123:    x122 - b404 <= 0;

e124:    x123 - b404 <= 0;

e125:    x124 - b404 <= 0;

e126:    x125 - b404 <= 0;

e127:    x126 - b404 <= 0;

e128:    x127 - b404 <= 0;

e129:    x128 - b404 <= 0;

e130:    x129 - b404 <= 0;

e131:    x130 - b404 <= 0;

e132:    x131 - b404 <= 0;

e133:    x132 - b404 <= 0;

e134:    x133 - b404 <= 0;

e135:    x134 - b404 <= 0;

e136:    x135 - b404 <= 0;

e137:    x136 - b404 <= 0;

e138:    x137 - b404 <= 0;

e139:    x138 - b404 <= 0;

e140:    x139 - b404 <= 0;

e141:    x140 - b404 <= 0;

e142:    x141 - b404 <= 0;

e143:    x142 - b404 <= 0;

e144:    x143 - b404 <= 0;

e145:    x144 - b404 <= 0;

e146:    x145 - b404 <= 0;

e147:    x146 - b404 <= 0;

e148:    x147 - b404 <= 0;

e149:    x148 - b404 <= 0;

e150:    x149 - b404 <= 0;

e151:    x150 - b404 <= 0;

e152:    x151 - b404 <= 0;

e153:    x152 - b404 <= 0;

e154:    x153 - b404 <= 0;

e155:    x154 - b404 <= 0;

e156:    x155 - b404 <= 0;

e157:    x156 - b404 <= 0;

e158:    x157 - b404 <= 0;

e159:    x158 - b404 <= 0;

e160:    x159 - b404 <= 0;

e161:    x160 - b404 <= 0;

e162:    x161 - b405 <= 0;

e163:    x162 - b405 <= 0;

e164:    x163 - b405 <= 0;

e165:    x164 - b405 <= 0;

e166:    x165 - b405 <= 0;

e167:    x166 - b405 <= 0;

e168:    x167 - b405 <= 0;

e169:    x168 - b405 <= 0;

e170:    x169 - b405 <= 0;

e171:    x170 - b405 <= 0;

e172:    x171 - b405 <= 0;

e173:    x172 - b405 <= 0;

e174:    x173 - b405 <= 0;

e175:    x174 - b405 <= 0;

e176:    x175 - b405 <= 0;

e177:    x176 - b405 <= 0;

e178:    x177 - b405 <= 0;

e179:    x178 - b405 <= 0;

e180:    x179 - b405 <= 0;

e181:    x180 - b405 <= 0;

e182:    x181 - b405 <= 0;

e183:    x182 - b405 <= 0;

e184:    x183 - b405 <= 0;

e185:    x184 - b405 <= 0;

e186:    x185 - b405 <= 0;

e187:    x186 - b405 <= 0;

e188:    x187 - b405 <= 0;

e189:    x188 - b405 <= 0;

e190:    x189 - b405 <= 0;

e191:    x190 - b405 <= 0;

e192:    x191 - b405 <= 0;

e193:    x192 - b405 <= 0;

e194:    x193 - b405 <= 0;

e195:    x194 - b405 <= 0;

e196:    x195 - b405 <= 0;

e197:    x196 - b405 <= 0;

e198:    x197 - b405 <= 0;

e199:    x198 - b405 <= 0;

e200:    x199 - b405 <= 0;

e201:    x200 - b405 <= 0;

e202:    x201 - b406 <= 0;

e203:    x202 - b406 <= 0;

e204:    x203 - b406 <= 0;

e205:    x204 - b406 <= 0;

e206:    x205 - b406 <= 0;

e207:    x206 - b406 <= 0;

e208:    x207 - b406 <= 0;

e209:    x208 - b406 <= 0;

e210:    x209 - b406 <= 0;

e211:    x210 - b406 <= 0;

e212:    x211 - b406 <= 0;

e213:    x212 - b406 <= 0;

e214:    x213 - b406 <= 0;

e215:    x214 - b406 <= 0;

e216:    x215 - b406 <= 0;

e217:    x216 - b406 <= 0;

e218:    x217 - b406 <= 0;

e219:    x218 - b406 <= 0;

e220:    x219 - b406 <= 0;

e221:    x220 - b406 <= 0;

e222:    x221 - b406 <= 0;

e223:    x222 - b406 <= 0;

e224:    x223 - b406 <= 0;

e225:    x224 - b406 <= 0;

e226:    x225 - b406 <= 0;

e227:    x226 - b406 <= 0;

e228:    x227 - b406 <= 0;

e229:    x228 - b406 <= 0;

e230:    x229 - b406 <= 0;

e231:    x230 - b406 <= 0;

e232:    x231 - b406 <= 0;

e233:    x232 - b406 <= 0;

e234:    x233 - b406 <= 0;

e235:    x234 - b406 <= 0;

e236:    x235 - b406 <= 0;

e237:    x236 - b406 <= 0;

e238:    x237 - b406 <= 0;

e239:    x238 - b406 <= 0;

e240:    x239 - b406 <= 0;

e241:    x240 - b406 <= 0;

e242:    x241 - b407 <= 0;

e243:    x242 - b407 <= 0;

e244:    x243 - b407 <= 0;

e245:    x244 - b407 <= 0;

e246:    x245 - b407 <= 0;

e247:    x246 - b407 <= 0;

e248:    x247 - b407 <= 0;

e249:    x248 - b407 <= 0;

e250:    x249 - b407 <= 0;

e251:    x250 - b407 <= 0;

e252:    x251 - b407 <= 0;

e253:    x252 - b407 <= 0;

e254:    x253 - b407 <= 0;

e255:    x254 - b407 <= 0;

e256:    x255 - b407 <= 0;

e257:    x256 - b407 <= 0;

e258:    x257 - b407 <= 0;

e259:    x258 - b407 <= 0;

e260:    x259 - b407 <= 0;

e261:    x260 - b407 <= 0;

e262:    x261 - b407 <= 0;

e263:    x262 - b407 <= 0;

e264:    x263 - b407 <= 0;

e265:    x264 - b407 <= 0;

e266:    x265 - b407 <= 0;

e267:    x266 - b407 <= 0;

e268:    x267 - b407 <= 0;

e269:    x268 - b407 <= 0;

e270:    x269 - b407 <= 0;

e271:    x270 - b407 <= 0;

e272:    x271 - b407 <= 0;

e273:    x272 - b407 <= 0;

e274:    x273 - b407 <= 0;

e275:    x274 - b407 <= 0;

e276:    x275 - b407 <= 0;

e277:    x276 - b407 <= 0;

e278:    x277 - b407 <= 0;

e279:    x278 - b407 <= 0;

e280:    x279 - b407 <= 0;

e281:    x280 - b407 <= 0;

e282:    x281 - b408 <= 0;

e283:    x282 - b408 <= 0;

e284:    x283 - b408 <= 0;

e285:    x284 - b408 <= 0;

e286:    x285 - b408 <= 0;

e287:    x286 - b408 <= 0;

e288:    x287 - b408 <= 0;

e289:    x288 - b408 <= 0;

e290:    x289 - b408 <= 0;

e291:    x290 - b408 <= 0;

e292:    x291 - b408 <= 0;

e293:    x292 - b408 <= 0;

e294:    x293 - b408 <= 0;

e295:    x294 - b408 <= 0;

e296:    x295 - b408 <= 0;

e297:    x296 - b408 <= 0;

e298:    x297 - b408 <= 0;

e299:    x298 - b408 <= 0;

e300:    x299 - b408 <= 0;

e301:    x300 - b408 <= 0;

e302:    x301 - b408 <= 0;

e303:    x302 - b408 <= 0;

e304:    x303 - b408 <= 0;

e305:    x304 - b408 <= 0;

e306:    x305 - b408 <= 0;

e307:    x306 - b408 <= 0;

e308:    x307 - b408 <= 0;

e309:    x308 - b408 <= 0;

e310:    x309 - b408 <= 0;

e311:    x310 - b408 <= 0;

e312:    x311 - b408 <= 0;

e313:    x312 - b408 <= 0;

e314:    x313 - b408 <= 0;

e315:    x314 - b408 <= 0;

e316:    x315 - b408 <= 0;

e317:    x316 - b408 <= 0;

e318:    x317 - b408 <= 0;

e319:    x318 - b408 <= 0;

e320:    x319 - b408 <= 0;

e321:    x320 - b408 <= 0;

e322:    x321 - b409 <= 0;

e323:    x322 - b409 <= 0;

e324:    x323 - b409 <= 0;

e325:    x324 - b409 <= 0;

e326:    x325 - b409 <= 0;

e327:    x326 - b409 <= 0;

e328:    x327 - b409 <= 0;

e329:    x328 - b409 <= 0;

e330:    x329 - b409 <= 0;

e331:    x330 - b409 <= 0;

e332:    x331 - b409 <= 0;

e333:    x332 - b409 <= 0;

e334:    x333 - b409 <= 0;

e335:    x334 - b409 <= 0;

e336:    x335 - b409 <= 0;

e337:    x336 - b409 <= 0;

e338:    x337 - b409 <= 0;

e339:    x338 - b409 <= 0;

e340:    x339 - b409 <= 0;

e341:    x340 - b409 <= 0;

e342:    x341 - b409 <= 0;

e343:    x342 - b409 <= 0;

e344:    x343 - b409 <= 0;

e345:    x344 - b409 <= 0;

e346:    x345 - b409 <= 0;

e347:    x346 - b409 <= 0;

e348:    x347 - b409 <= 0;

e349:    x348 - b409 <= 0;

e350:    x349 - b409 <= 0;

e351:    x350 - b409 <= 0;

e352:    x351 - b409 <= 0;

e353:    x352 - b409 <= 0;

e354:    x353 - b409 <= 0;

e355:    x354 - b409 <= 0;

e356:    x355 - b409 <= 0;

e357:    x356 - b409 <= 0;

e358:    x357 - b409 <= 0;

e359:    x358 - b409 <= 0;

e360:    x359 - b409 <= 0;

e361:    x360 - b409 <= 0;

e362:    x361 - b410 <= 0;

e363:    x362 - b410 <= 0;

e364:    x363 - b410 <= 0;

e365:    x364 - b410 <= 0;

e366:    x365 - b410 <= 0;

e367:    x366 - b410 <= 0;

e368:    x367 - b410 <= 0;

e369:    x368 - b410 <= 0;

e370:    x369 - b410 <= 0;

e371:    x370 - b410 <= 0;

e372:    x371 - b410 <= 0;

e373:    x372 - b410 <= 0;

e374:    x373 - b410 <= 0;

e375:    x374 - b410 <= 0;

e376:    x375 - b410 <= 0;

e377:    x376 - b410 <= 0;

e378:    x377 - b410 <= 0;

e379:    x378 - b410 <= 0;

e380:    x379 - b410 <= 0;

e381:    x380 - b410 <= 0;

e382:    x381 - b410 <= 0;

e383:    x382 - b410 <= 0;

e384:    x383 - b410 <= 0;

e385:    x384 - b410 <= 0;

e386:    x385 - b410 <= 0;

e387:    x386 - b410 <= 0;

e388:    x387 - b410 <= 0;

e389:    x388 - b410 <= 0;

e390:    x389 - b410 <= 0;

e391:    x390 - b410 <= 0;

e392:    x391 - b410 <= 0;

e393:    x392 - b410 <= 0;

e394:    x393 - b410 <= 0;

e395:    x394 - b410 <= 0;

e396:    x395 - b410 <= 0;

e397:    x396 - b410 <= 0;

e398:    x397 - b410 <= 0;

e399:    x398 - b410 <= 0;

e400:    x399 - b410 <= 0;

e401:    x400 - b410 <= 0;

e402:    x1 + x41 + x81 + x121 + x161 + x201 + x241 + x281 + x321 + x361 = 1;

e403:    x2 + x42 + x82 + x122 + x162 + x202 + x242 + x282 + x322 + x362 = 1;

e404:    x3 + x43 + x83 + x123 + x163 + x203 + x243 + x283 + x323 + x363 = 1;

e405:    x4 + x44 + x84 + x124 + x164 + x204 + x244 + x284 + x324 + x364 = 1;

e406:    x5 + x45 + x85 + x125 + x165 + x205 + x245 + x285 + x325 + x365 = 1;

e407:    x6 + x46 + x86 + x126 + x166 + x206 + x246 + x286 + x326 + x366 = 1;

e408:    x7 + x47 + x87 + x127 + x167 + x207 + x247 + x287 + x327 + x367 = 1;

e409:    x8 + x48 + x88 + x128 + x168 + x208 + x248 + x288 + x328 + x368 = 1;

e410:    x9 + x49 + x89 + x129 + x169 + x209 + x249 + x289 + x329 + x369 = 1;

e411:    x10 + x50 + x90 + x130 + x170 + x210 + x250 + x290 + x330 + x370 = 1;

e412:    x11 + x51 + x91 + x131 + x171 + x211 + x251 + x291 + x331 + x371 = 1;

e413:    x12 + x52 + x92 + x132 + x172 + x212 + x252 + x292 + x332 + x372 = 1;

e414:    x13 + x53 + x93 + x133 + x173 + x213 + x253 + x293 + x333 + x373 = 1;

e415:    x14 + x54 + x94 + x134 + x174 + x214 + x254 + x294 + x334 + x374 = 1;

e416:    x15 + x55 + x95 + x135 + x175 + x215 + x255 + x295 + x335 + x375 = 1;

e417:    x16 + x56 + x96 + x136 + x176 + x216 + x256 + x296 + x336 + x376 = 1;

e418:    x17 + x57 + x97 + x137 + x177 + x217 + x257 + x297 + x337 + x377 = 1;

e419:    x18 + x58 + x98 + x138 + x178 + x218 + x258 + x298 + x338 + x378 = 1;

e420:    x19 + x59 + x99 + x139 + x179 + x219 + x259 + x299 + x339 + x379 = 1;

e421:    x20 + x60 + x100 + x140 + x180 + x220 + x260 + x300 + x340 + x380 = 1;

e422:    x21 + x61 + x101 + x141 + x181 + x221 + x261 + x301 + x341 + x381 = 1;

e423:    x22 + x62 + x102 + x142 + x182 + x222 + x262 + x302 + x342 + x382 = 1;

e424:    x23 + x63 + x103 + x143 + x183 + x223 + x263 + x303 + x343 + x383 = 1;

e425:    x24 + x64 + x104 + x144 + x184 + x224 + x264 + x304 + x344 + x384 = 1;

e426:    x25 + x65 + x105 + x145 + x185 + x225 + x265 + x305 + x345 + x385 = 1;

e427:    x26 + x66 + x106 + x146 + x186 + x226 + x266 + x306 + x346 + x386 = 1;

e428:    x27 + x67 + x107 + x147 + x187 + x227 + x267 + x307 + x347 + x387 = 1;

e429:    x28 + x68 + x108 + x148 + x188 + x228 + x268 + x308 + x348 + x388 = 1;

e430:    x29 + x69 + x109 + x149 + x189 + x229 + x269 + x309 + x349 + x389 = 1;

e431:    x30 + x70 + x110 + x150 + x190 + x230 + x270 + x310 + x350 + x390 = 1;

e432:    x31 + x71 + x111 + x151 + x191 + x231 + x271 + x311 + x351 + x391 = 1;

e433:    x32 + x72 + x112 + x152 + x192 + x232 + x272 + x312 + x352 + x392 = 1;

e434:    x33 + x73 + x113 + x153 + x193 + x233 + x273 + x313 + x353 + x393 = 1;

e435:    x34 + x74 + x114 + x154 + x194 + x234 + x274 + x314 + x354 + x394 = 1;

e436:    x35 + x75 + x115 + x155 + x195 + x235 + x275 + x315 + x355 + x395 = 1;

e437:    x36 + x76 + x116 + x156 + x196 + x236 + x276 + x316 + x356 + x396 = 1;

e438:    x37 + x77 + x117 + x157 + x197 + x237 + x277 + x317 + x357 + x397 = 1;

e439:    x38 + x78 + x118 + x158 + x198 + x238 + x278 + x318 + x358 + x398 = 1;

e440:    x39 + x79 + x119 + x159 + x199 + x239 + x279 + x319 + x359 + x399 = 1;

e441:    x40 + x80 + x120 + x160 + x200 + x240 + x280 + x320 + x360 + x400 = 1;