# NLP written by GAMS Convert at 11/17/21 09:38:35
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#       165      165        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#       316      316        0        0        0        0        0        0
# FX     53
#
# Nonzero counts
#     Total    const       NL
#       663      594       69
#
# Reformulation has removed 1 variable and 1 equation

var x1 := 0.714277270296959;
var x2 := 0.213455359357076;
var x3 := -0.000257460042516337;
var x4 := 0.267446625046681;
var x5 := 0.428981457932639;
var x6 := 0.706421402256235;
var x7 := 1.23179277222266;
var x8 := 1.1923022297969;
var x9 := 1;
var x10 := 0.531271066405917;
var x11 := 0.37852116602787;
var x12 := 0.0259822061255019;
var x13 := 0.613866884603052;
var x14 := 0.912812569152467;
var x15 := 0.0233052515549957;
var x16 := 0.0359433346141142;
var x17 := 0.0397474756614438;
var x18 := 0.0172169283352343;
var x19 := 0.00761194936907785;
var x20 := 0.0456959504315114;
var x21 := 0.0141724551070975;
var x22 := 0.307728859298738;
var x23 := 0.0414914804160212;
var x24 := 0.0659507832795914;
var x25 := -0.280822769860641;
var x26 := -0.192302229796904;
var x27 := 0.388881181040466;
var x28 := 0.268505801367806;
var x29 >= 0, <= 0;
var x30 := 14.827424;
var x31 >= 0, <= 0;
var x32 >= 0, <= 0;
var x33 := 2.101049;
var x34 := -0.000327;
var x35 >= 0, <= 0;
var x36 >= 0, <= 0;
var x37 := 1.488157;
var x38 := 7.917504;
var x39 >= 0, <= 0;
var x40 >= 0, <= 0;
var x41 >= 0, <= 0;
var x42 := 6.953332;
var x43 := 1.5645;
var x44 := 2.5185;
var x45 := 2.597798;
var x46 >= 0, <= 0;
var x47 := 9.805414;
var x48 >= 0, <= 0;
var x49 >= 0, <= 0;
var x50 >= 0, <= 0;
var x51 >= 0, <= 0;
var x52 >= 0, <= 0;
var x53 >= 0, <= 0;
var x54 >= 0, <= 0;
var x55 >= 0, <= 0;
var x56 >= 0, <= 0;
var x57 >= 0, <= 0;
var x58 := 3.699706;
var x59 >= 0, <= 0;
var x60 >= 0, <= 0;
var x61 := 0.033;
var x62 >= 0, <= 0;
var x63 >= 0, <= 0;
var x64 >= 0, <= 0;
var x65 >= 0, <= 0;
var x66 >= 0, <= 0;
var x67 := 6;
var x68 := 3.3;
var x69 >= 0, <= 0;
var x70 := 0.0296;
var x71 >= 0, <= 0;
var x72 >= 0, <= 0;
var x73 := 0.2;
var x74 := 0.7336;
var x75 := 0.3574;
var x76 := 0.0744;
var x77 := 0.1652;
var x78 := 0.1395;
var x79 >= 0, <= 0;
var x80 >= 0, <= 0;
var x81 >= 0, <= 0;
var x82 >= 0, <= 0;
var x83 >= 0, <= 0;
var x84 >= 0, <= 0;
var x85 >= 0, <= 0;
var x86 >= 0, <= 0;
var x87 >= 0, <= 0;
var x88 >= 0, <= 0;
var x89 >= 0, <= 0;
var x90 >= 0, <= 0;
var x91 := 1.7123;
var x92 >= 0, <= 0;
var x93 >= 0, <= 0;
var x94 >= 0, <= 0;
var x95 := 0.15;
var x96 := 0.649156;
var x97 := -0.356673;
var x98 := -0.4062;
var x99 >= 0, <= 0;
var x100 := 2.163857;
var x101 >= 0, <= 0;
var x102 := 5.573815;
var x103 >= 0, <= 0;
var x104 >= 0, <= 0;
var x105 >= 0, <= 0;
var x106 >= 0, <= 0;
var x107 >= 0, <= 0;
var x108 >= 0, <= 0;
var x109 >= 0, <= 0;
var x110 := 9.805414;
var x111 := 10.896741;
var x112 := 18.4364105;
var x113 := 21.1551365;
var x114 := 9.78976;
var x115 := 3.673953;
var x116 := 9.6863185;
var x117 := 1.3701;
var x118 := 1.9123;
var x119 := 2.398969;
var x120 := 5.5690645;
var x121;
var x122;
var x123;
var x124;
var x125;
var x126;
var x127;
var x128;
var x129;
var x130;
var x131;
var x132;
var x133;
var x134;
var x135;
var x136;
var x137;
var x138;
var x139;
var x140;
var x141;
var x142;
var x143;
var x144;
var x145;
var x146;
var x147;
var x148;
var x149;
var x150;
var x151;
var x152;
var x153;
var x154;
var x155;
var x156;
var x157;
var x158;
var x159;
var x160 := 0.142857142857143, >= 0, <= 1;
var x161 := 0.142857142857143, >= 0, <= 1;
var x162 := 0.142857142857143, >= 0, <= 1;
var x163 := 0.142857142857143, >= 0, <= 1;
var x164 := 0.142857142857143, >= 0, <= 1;
var x165 := 0.142857142857143, >= 0, <= 1;
var x166 := 0.142857142857143, >= 0, <= 1;
var x167 := 0.142857142857143, >= 0, <= 1;
var x168 := 0.142857142857143, >= 0, <= 1;
var x169 := 0.142857142857143, >= 0, <= 1;
var x170 := 0.142857142857143, >= 0, <= 1;
var x171 := 0.142857142857143, >= 0, <= 1;
var x172 := 0.142857142857143, >= 0, <= 1;
var x173 := 0.142857142857143, >= 0, <= 1;
var x174 := 0.142857142857143, >= 0, <= 1;
var x175 := 0.142857142857143, >= 0, <= 1;
var x176 := 0.142857142857143, >= 0, <= 1;
var x177 := 0.142857142857143, >= 0, <= 1;
var x178 := 0.142857142857143, >= 0, <= 1;
var x179 := 0.142857142857143, >= 0, <= 1;
var x180 := 0.142857142857143, >= 0, <= 1;
var x181 := 0.142857142857143, >= 0, <= 1;
var x182 := 0.142857142857143, >= 0, <= 1;
var x183 := 0.142857142857143, >= 0, <= 1;
var x184 := 0.142857142857143, >= 0, <= 1;
var x185 := 0.142857142857143, >= 0, <= 1;
var x186 := 0.142857142857143, >= 0, <= 1;
var x187 := 0.142857142857143, >= 0, <= 1;
var x188 := 0.142857142857143, >= 0, <= 1;
var x189 := 0.142857142857143, >= 0, <= 1;
var x190 := 0.142857142857143, >= 0, <= 1;
var x191 := 0.142857142857143, >= 0, <= 1;
var x192 := 0.142857142857143, >= 0, <= 1;
var x193 := 0.142857142857143, >= 0, <= 1;
var x194 := 0.142857142857143, >= 0, <= 1;
var x195 := 0.142857142857143, >= 0, <= 1;
var x196 := 0.142857142857143, >= 0, <= 1;
var x197 := 0.142857142857143, >= 0, <= 1;
var x198 := 0.142857142857143, >= 0, <= 1;
var x199 := 0.142857142857143, >= 0, <= 1;
var x200 := 0.142857142857143, >= 0, <= 1;
var x201 := 0.142857142857143, >= 0, <= 1;
var x202 := 0.142857142857143, >= 0, <= 1;
var x203 := 0.142857142857143, >= 0, <= 1;
var x204 := 0.142857142857143, >= 0, <= 1;
var x205 := 0.142857142857143, >= 0, <= 1;
var x206 := 0.142857142857143, >= 0, <= 1;
var x207 := 0.142857142857143, >= 0, <= 1;
var x208 := 0.142857142857143, >= 0, <= 1;
var x209 := 0.142857142857143, >= 0, <= 1;
var x210 := 0.142857142857143, >= 0, <= 1;
var x211 := 0.142857142857143, >= 0, <= 1;
var x212 := 0.142857142857143, >= 0, <= 1;
var x213 := 0.142857142857143, >= 0, <= 1;
var x214 := 0.142857142857143, >= 0, <= 1;
var x215 := 0.142857142857143, >= 0, <= 1;
var x216 := 0.142857142857143, >= 0, <= 1;
var x217 := 0.142857142857143, >= 0, <= 1;
var x218 := 0.142857142857143, >= 0, <= 1;
var x219 := 0.142857142857143, >= 0, <= 1;
var x220 := 0.142857142857143, >= 0, <= 1;
var x221 := 0.142857142857143, >= 0, <= 1;
var x222 := 0.142857142857143, >= 0, <= 1;
var x223 := 0.00617283950617284, >= 0, <= 1;
var x224 := 0.197530864197531, >= 0, <= 1;
var x225 := 0.592592592592593, >= 0, <= 1;
var x226 := 0.197530864197531, >= 0, <= 1;
var x227 := 0.00617283950617284, >= 0, <= 1;
var x228 := 0.00617283950617284, >= 0, <= 1;
var x229 := 0.197530864197531, >= 0, <= 1;
var x230 := 0.592592592592593, >= 0, <= 1;
var x231 := 0.197530864197531, >= 0, <= 1;
var x232 := 0.00617283950617284, >= 0, <= 1;
var x233 := 0.0555555555555556, >= 0, <= 1;
var x234 := 0.888888888888889, >= 0, <= 1;
var x235 := 0.0555555555555556, >= 0, <= 1;
var x236 := 0.0555555555555556, >= 0, <= 1;
var x237 := 0.888888888888889, >= 0, <= 1;
var x238 := 0.0555555555555556, >= 0, <= 1;
var x239 := 0.0555555555555556, >= 0, <= 1;
var x240 := 0.888888888888889, >= 0, <= 1;
var x241 := 0.0555555555555556, >= 0, <= 1;
var x242 := 0.0555555555555556, >= 0, <= 1;
var x243 := 0.888888888888889, >= 0, <= 1;
var x244 := 0.0555555555555556, >= 0, <= 1;
var x245 := 0.0555555555555556, >= 0, <= 1;
var x246 := 0.888888888888889, >= 0, <= 1;
var x247 := 0.0555555555555556, >= 0, <= 1;
var x248 := 0.0555555555555556, >= 0, <= 1;
var x249 := 0.888888888888889, >= 0, <= 1;
var x250 := 0.0555555555555556, >= 0, <= 1;
var x251 := 0.0555555555555556, >= 0, <= 1;
var x252 := 0.888888888888889, >= 0, <= 1;
var x253 := 0.0555555555555556, >= 0, <= 1;
var x254 := 0.0555555555555556, >= 0, <= 1;
var x255 := 0.888888888888889, >= 0, <= 1;
var x256 := 0.0555555555555556, >= 0, <= 1;
var x257 := 0.0555555555555556, >= 0, <= 1;
var x258 := 0.888888888888889, >= 0, <= 1;
var x259 := 0.0555555555555556, >= 0, <= 1;
var x260 := 0.0555555555555556, >= 0, <= 1;
var x261 := 0.888888888888889, >= 0, <= 1;
var x262 := 0.0555555555555556, >= 0, <= 1;
var x263 := 0.0555555555555556, >= 0, <= 1;
var x264 := 0.888888888888889, >= 0, <= 1;
var x265 := 0.0555555555555556, >= 0, <= 1;
var x266 := 0.0555555555555556, >= 0, <= 1;
var x267 := 0.888888888888889, >= 0, <= 1;
var x268 := 0.0555555555555556, >= 0, <= 1;
var x269 := 0.0555555555555556, >= 0, <= 1;
var x270 := 0.888888888888889, >= 0, <= 1;
var x271 := 0.0555555555555556, >= 0, <= 1;
var x272 := 0.0555555555555556, >= 0, <= 1;
var x273 := 0.888888888888889, >= 0, <= 1;
var x274 := 0.0555555555555556, >= 0, <= 1;
var x275 := 0.0555555555555556, >= 0, <= 1;
var x276 := 0.888888888888889, >= 0, <= 1;
var x277 := 0.0555555555555556, >= 0, <= 1;
var x278 := 0.0555555555555556, >= 0, <= 1;
var x279 := 0.888888888888889, >= 0, <= 1;
var x280 := 0.0555555555555556, >= 0, <= 1;
var x281 := 0.0555555555555556, >= 0, <= 1;
var x282 := 0.888888888888889, >= 0, <= 1;
var x283 := 0.0555555555555556, >= 0, <= 1;
var x284 := 0.0555555555555556, >= 0, <= 1;
var x285 := 0.888888888888889, >= 0, <= 1;
var x286 := 0.0555555555555556, >= 0, <= 1;
var x287 := 0.0555555555555556, >= 0, <= 1;
var x288 := 0.888888888888889, >= 0, <= 1;
var x289 := 0.0555555555555556, >= 0, <= 1;
var x290 := 0.0555555555555556, >= 0, <= 1;
var x291 := 0.888888888888889, >= 0, <= 1;
var x292 := 0.0555555555555556, >= 0, <= 1;
var x293 := 0.0555555555555556, >= 0, <= 1;
var x294 := 0.888888888888889, >= 0, <= 1;
var x295 := 0.0555555555555556, >= 0, <= 1;
var x296 := 0.0555555555555556, >= 0, <= 1;
var x297 := 0.888888888888889, >= 0, <= 1;
var x298 := 0.0555555555555556, >= 0, <= 1;
var x299 := 0.0555555555555556, >= 0, <= 1;
var x300 := 0.888888888888889, >= 0, <= 1;
var x301 := 0.0555555555555556, >= 0, <= 1;
var x302 := 0.0555555555555556, >= 0, <= 1;
var x303 := 0.888888888888889, >= 0, <= 1;
var x304 := 0.0555555555555556, >= 0, <= 1;
var x305 := 0.0555555555555556, >= 0, <= 1;
var x306 := 0.888888888888889, >= 0, <= 1;
var x307 := 0.0555555555555556, >= 0, <= 1;
var x308 := 0.0555555555555556, >= 0, <= 1;
var x309 := 0.888888888888889, >= 0, <= 1;
var x310 := 0.0555555555555556, >= 0, <= 1;
var x311 := 0.0555555555555556, >= 0, <= 1;
var x312 := 0.888888888888889, >= 0, <= 1;
var x313 := 0.0555555555555556, >= 0, <= 1;
var x314 := 0.0555555555555556, >= 0, <= 1;
var x315 := 0.888888888888889, >= 0, <= 1;
var x316 := 0.0555555555555556, >= 0, <= 1;

minimize obj: x233 * log((x233 + 1e-20) / (0.0555555555555556 + 1e-20)) + x234
    * log((x234 + 1e-20) / (0.888888888888889 + 1e-20)) + x235 * log((x235 +
    1e-20) / (0.0555555555555556 + 1e-20)) + x236 * log((x236 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x237 * log((x237 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x238 * log((x238 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x239 * log((x239 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x240 * log((x240 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x241 * log((x241 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x242 * log((x242 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x243 * log((x243 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x244 * log((x244 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x245 * log((x245 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x246 * log((x246 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x247 * log((x247 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x248 * log((x248 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x249 * log((x249 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x250 * log((x250 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x251 * log((x251 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x252 * log((x252 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x253 * log((x253 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x254 * log((x254 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x255 * log((x255 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x256 * log((x256 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x257 * log((x257 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x258 * log((x258 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x259 * log((x259 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x260 * log((x260 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x261 * log((x261 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x262 * log((x262 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x263 * log((x263 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x264 * log((x264 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x265 * log((x265 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x266 * log((x266 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x267 * log((x267 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x268 * log((x268 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x269 * log((x269 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x270 * log((x270 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x271 * log((x271 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x272 * log((x272 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x273 * log((x273 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x274 * log((x274 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x275 * log((x275 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x276 * log((x276 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x277 * log((x277 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x278 * log((x278 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x279 * log((x279 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x280 * log((x280 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x281 * log((x281 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x282 * log((x282 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x283 * log((x283 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x284 * log((x284 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x285 * log((x285 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x286 * log((x286 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x287 * log((x287 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x288 * log((x288 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x289 * log((x289 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x290 * log((x290 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x291 * log((x291 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x292 * log((x292 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x293 * log((x293 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x294 * log((x294 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x295 * log((x295 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x296 * log((x296 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x297 * log((x297 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x298 * log((x298 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x299 * log((x299 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x300 * log((x300 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x301 * log((x301 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x302 * log((x302 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x303 * log((x303 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x304 * log((x304 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x305 * log((x305 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x306 * log((x306 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x307 * log((x307 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x308 * log((x308 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x309 * log((x309 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x310 * log((x310 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x311 * log((x311 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x312 * log((x312 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x313 * log((x313 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x314 * log((x314 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x315 * log((x315 + 1e-20) / (
    0.888888888888889 + 1e-20)) + x316 * log((x316 + 1e-20) / (
    0.0555555555555556 + 1e-20)) + x160 * log((x160 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x161 * log((x161 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x162 * log((x162 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x163 * log((x163 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x164 * log((x164 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x165 * log((x165 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x166 * log((x166 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x167 * log((x167 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x168 * log((x168 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x169 * log((x169 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x170 * log((x170 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x171 * log((x171 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x172 * log((x172 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x173 * log((x173 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x174 * log((x174 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x175 * log((x175 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x176 * log((x176 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x177 * log((x177 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x178 * log((x178 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x179 * log((x179 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x180 * log((x180 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x181 * log((x181 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x182 * log((x182 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x183 * log((x183 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x184 * log((x184 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x185 * log((x185 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x186 * log((x186 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x187 * log((x187 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x188 * log((x188 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x189 * log((x189 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x190 * log((x190 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x191 * log((x191 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x192 * log((x192 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x193 * log((x193 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x194 * log((x194 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x195 * log((x195 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x196 * log((x196 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x197 * log((x197 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x198 * log((x198 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x199 * log((x199 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x200 * log((x200 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x201 * log((x201 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x202 * log((x202 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x203 * log((x203 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x204 * log((x204 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x205 * log((x205 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x206 * log((x206 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x207 * log((x207 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x208 * log((x208 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x209 * log((x209 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x210 * log((x210 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x211 * log((x211 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x212 * log((x212 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x213 * log((x213 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x214 * log((x214 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x215 * log((x215 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x216 * log((x216 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x217 * log((x217 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x218 * log((x218 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x219 * log((x219 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x220 * log((x220 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x221 * log((x221 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x222 * log((x222 + 1e-20) / (
    0.142857142857143 + 1e-20)) + x223 * log((x223 + 1e-20) / (
    0.00617283950617284 + 1e-20)) + x224 * log((x224 + 1e-20) / (
    0.197530864197531 + 1e-20)) + x225 * log((x225 + 1e-20) / (
    0.592592592592593 + 1e-20)) + x226 * log((x226 + 1e-20) / (
    0.197530864197531 + 1e-20)) + x227 * log((x227 + 1e-20) / (
    0.00617283950617284 + 1e-20)) + x228 * log((x228 + 1e-20) / (
    0.00617283950617284 + 1e-20)) + x229 * log((x229 + 1e-20) / (
    0.197530864197531 + 1e-20)) + x230 * log((x230 + 1e-20) / (
    0.592592592592593 + 1e-20)) + x231 * log((x231 + 1e-20) / (
    0.197530864197531 + 1e-20)) + x232 * log((x232 + 1e-20) / (
    0.00617283950617284 + 1e-20));

subject to

e1:  x112 - x121 = 18.4364105;
e2:  x113 - x122 = 21.1551365;
e3:  x114 - x123 = 9.78976;
e4:  x115 - x124 = 3.673953;
e5:  x116 - x125 = 9.6863185;
e6:  x117 - x126 = 1.3701;
e7:  x118 - x127 = 1.9123;
e8:  x119 - x128 = 2.398969;
e9:  x120 - x129 = 5.5690645;
e10:  x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37 - x112 = 0;
e11:  x38 + x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 - x113 = 0;
e12:  x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 + x55 - x114 = 0;
e13:  x56 + x57 + x58 + x59 + x60 + x61 + x62 + x63 + x64 - x115 = 0;
e14:  x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73 - x116 = 0;
e15:  x74 + x75 + x76 + x77 + x78 + x79 + x80 + x81 + x82 - x117 = 0;
e16:  x83 + x84 + x85 + x86 + x87 + x88 + x89 + x90 + x91 - x118 = 0;
e17:  x92 + x93 + x94 + x95 + x96 + x97 + x98 + x99 + x100 - x119 = 0;
e18:  x101 + x102 + x103 + x104 + x105 + x106 + x107 + x108 + x109 - x120 = 0;
e19:  x29 + x38 + x47 + x56 + x65 + x74 + x83 + x92 + x101 - x112 = 0;
e20:  x30 + x39 + x48 + x57 + x66 + x75 + x84 + x93 + x102 - x113 = 0;
e21:  x31 + x40 + x49 + x58 + x67 + x76 + x85 + x94 + x103 - x114 = 0;
e22:  x32 + x41 + x50 + x59 + x68 + x77 + x86 + x95 + x104 - x115 = 0;
e23:  x33 + x42 + x51 + x60 + x69 + x78 + x87 + x96 + x105 - x116 = 0;
e24:  x34 + x43 + x52 + x61 + x70 + x79 + x88 + x97 + x106 - x117 = 0;
e25:  x35 + x44 + x53 + x62 + x71 + x80 + x89 + x98 + x107 - x118 = 0;
e26:  x36 + x45 + x54 + x63 + x72 + x81 + x90 + x99 + x108 - x119 = 0;
e27:  x37 + x46 + x55 + x64 + x73 + x82 + x91 + x100 + x109 - x120 = 0;
e28:  -x1 * x113 + x30 = 0;
e29:  -x2 * x116 + x33 = 0;
e30:  -x3 * x117 + x34 = 0;
e31:  -x4 * x120 + x37 = 0;
e32:  -x5 * x112 + x38 = 0;
e33:  -x6 * x116 + x42 = 0;
e34:  -x7 * x117 + x43 = 0;
e35:  -x8 * x118 + x44 = 0;
e36:  -x9 * x119 + x45 = 0;
e37:  -x10 * x112 + x47 = 0;
e38:  -x11 * x114 + x58 = 0;
e39:  -x12 * x117 + x61 = 0;
e40:  -x13 * x114 + x67 = 0;
e41:  -x14 * x115 + x68 = 0;
e42:  -x15 * x117 + x70 = 0;
e43:  -x16 * x120 + x73 = 0;
e44:  -x17 * x112 + x74 = 0;
e45:  -x18 * x113 + x75 = 0;
e46:  -x19 * x114 + x76 = 0;
e47:  -x20 * x115 + x77 = 0;
e48:  -x21 * x116 + x78 = 0;
e49:  -x22 * x120 + x91 = 0;
e50:  -x23 * x115 + x95 = 0;
e51:  -x24 * x116 + x96 = 0;
e52:  -x25 * x117 + x97 = 0;
e53:  -x26 * x118 + x98 = 0;
e54:  -x27 * x120 + x100 = 0;
e55:  -x28 * x113 + x102 = 0;
e56:  x30 - x132 = 14.827424;
e57:  x34 - x134 = -0.000327;
e58:  x37 - x135 = 1.488157;
e59:  x43 - x138 = 1.5645;
e60:  x44 - x139 = 2.5185;
e61:  x45 - x140 = 2.597798;
e62:  x61 - x143 = 0.033;
e63:  x70 - x146 = 0.0296;
e64:  x73 - x147 = 0.2;
e65:  x75 - x149 = 0.3574;
e66:  x91 - x153 = 1.7123;
e67:  x97 - x156 = -0.356673;
e68:  x98 - x157 = -0.4062;
e69:  x100 - x158 = 2.163857;
e70:  x102 - x159 = 5.573815;
e71:  -0.213455359357076 * exp(x133) + x2 = 0;
e72:  -0.428981457932639 * exp(x136) + x5 = 0;
e73:  -0.706421402256235 * exp(x137) + x6 = 0;
e74:  -0.531271066405917 * exp(x141) + x10 = 0;
e75:  -0.37852116602787 * exp(x142) + x11 = 0;
e76:  -0.613866884603052 * exp(x144) + x13 = 0;
e77:  -0.912812569152467 * exp(x145) + x14 = 0;
e78:  -0.0397474756614438 * exp(x148) + x17 = 0;
e79:  -0.00761194936907785 * exp(x150) + x19 = 0;
e80:  -0.0456959504315114 * exp(x151) + x20 = 0;
e81:  -0.0141724551070975 * exp(x152) + x21 = 0;
e82:  -0.0414914804160212 * exp(x154) + x23 = 0;
e83:  -0.0659507832795914 * exp(x155) + x24 = 0;
e84:  -x47 + x110 = 0;
e85:  x34 - x47 - x74 - x75 + x111 = 0;
e86:  x110 - x130 = 9.805414;
e87:  x111 - x131 = 10.896741;
e88:  x121 + 2.765461575 * x160 + 1.84364105 * x161 + 0.921820525 * x162 -
      0.921820525 * x164 - 1.84364105 * x165 - 2.765461575 * x166 = 0;
e89:  x122 + 3.173270475 * x167 + 2.11551365 * x168 + 1.057756825 * x169 -
      1.057756825 * x171 - 2.11551365 * x172 - 3.173270475 * x173 = 0;
e90:  x123 + 1.468464 * x174 + 0.978976 * x175 + 0.489488 * x176 - 0.489488 *
      x178 - 0.978976 * x179 - 1.468464 * x180 = 0;
e91:  x124 + 0.55109295 * x181 + 0.3673953 * x182 + 0.18369765 * x183 -
      0.18369765 * x185 - 0.3673953 * x186 - 0.55109295 * x187 = 0;
e92:  x125 + 1.452947775 * x188 + 0.96863185 * x189 + 0.484315925 * x190 -
      0.484315925 * x192 - 0.96863185 * x193 - 1.452947775 * x194 = 0;
e93:  x126 + 0.205515 * x195 + 0.13701 * x196 + 0.068505 * x197 - 0.068505 *
      x199 - 0.13701 * x200 - 0.205515 * x201 = 0;
e94:  x127 + 0.286845 * x202 + 0.19123 * x203 + 0.095615 * x204 - 0.095615 *
      x206 - 0.19123 * x207 - 0.286845 * x208 = 0;
e95:  x128 + 0.35984535 * x209 + 0.2398969 * x210 + 0.11994845 * x211 -
      0.11994845 * x213 - 0.2398969 * x214 - 0.35984535 * x215 = 0;
e96:  x129 + 0.835359675 * x216 + 0.55690645 * x217 + 0.278453225 * x218 -
      0.278453225 * x220 - 0.55690645 * x221 - 0.835359675 * x222 = 0;
e97:  x130 + 1.4708121 * x223 + 0.73540605 * x224 - 0.73540605 * x226 -
      1.4708121 * x227 = 0;
e98:  x131 + 1.63451115 * x228 + 0.817255575 * x229 - 0.817255575 * x231 -
      1.63451115 * x232 = 0;
e99:  x132 + 11.120568 * x233 - 11.120568 * x235 = 0;
e100:  x133 + 0.75 * x236 - 0.75 * x238 = 0;
e101:  x134 + 0.00024525 * x239 - 0.00024525 * x241 = 0;
e102:  x135 + 1.11611775 * x242 - 1.11611775 * x244 = 0;
e103:  x136 + 0.75 * x245 - 0.75 * x247 = 0;
e104:  x137 + 0.75 * x248 - 0.75 * x250 = 0;
e105:  x138 + 1.173375 * x251 - 1.173375 * x253 = 0;
e106:  x139 + 1.888875 * x254 - 1.888875 * x256 = 0;
e107:  x140 + 1.9483485 * x257 - 1.9483485 * x259 = 0;
e108:  x141 + 0.75 * x260 - 0.75 * x262 = 0;
e109:  x142 + 0.75 * x263 - 0.75 * x265 = 0;
e110:  x143 + 0.02475 * x266 - 0.02475 * x268 = 0;
e111:  x144 + 0.75 * x269 - 0.75 * x271 = 0;
e112:  x145 + 0.75 * x272 - 0.75 * x274 = 0;
e113:  x146 + 0.0222 * x275 - 0.0222 * x277 = 0;
e114:  x147 + 0.15 * x278 - 0.15 * x280 = 0;
e115:  x148 + 0.75 * x281 - 0.75 * x283 = 0;
e116:  x149 + 0.26805 * x284 - 0.26805 * x286 = 0;
e117:  x150 + 0.75 * x287 - 0.75 * x289 = 0;
e118:  x151 + 0.75 * x290 - 0.75 * x292 = 0;
e119:  x152 + 0.75 * x293 - 0.75 * x295 = 0;
e120:  x153 + 1.284225 * x296 - 1.284225 * x298 = 0;
e121:  x154 + 0.75 * x299 - 0.75 * x301 = 0;
e122:  x155 + 0.75 * x302 - 0.75 * x304 = 0;
e123:  x156 + 0.26750475 * x305 - 0.26750475 * x307 = 0;
e124:  x157 + 0.30465 * x308 - 0.30465 * x310 = 0;
e125:  x158 + 1.62289275 * x311 - 1.62289275 * x313 = 0;
e126:  x159 + 4.18036125 * x314 - 4.18036125 * x316 = 0;
e127:  x160 + x161 + x162 + x163 + x164 + x165 + x166 = 1;
e128:  x167 + x168 + x169 + x170 + x171 + x172 + x173 = 1;
e129:  x174 + x175 + x176 + x177 + x178 + x179 + x180 = 1;
e130:  x181 + x182 + x183 + x184 + x185 + x186 + x187 = 1;
e131:  x188 + x189 + x190 + x191 + x192 + x193 + x194 = 1;
e132:  x195 + x196 + x197 + x198 + x199 + x200 + x201 = 1;
e133:  x202 + x203 + x204 + x205 + x206 + x207 + x208 = 1;
e134:  x209 + x210 + x211 + x212 + x213 + x214 + x215 = 1;
e135:  x216 + x217 + x218 + x219 + x220 + x221 + x222 = 1;
e136:  x223 + x224 + x225 + x226 + x227 = 1;
e137:  x228 + x229 + x230 + x231 + x232 = 1;
e138:  x233 + x234 + x235 = 1;
e139:  x236 + x237 + x238 = 1;
e140:  x239 + x240 + x241 = 1;
e141:  x242 + x243 + x244 = 1;
e142:  x245 + x246 + x247 = 1;
e143:  x248 + x249 + x250 = 1;
e144:  x251 + x252 + x253 = 1;
e145:  x254 + x255 + x256 = 1;
e146:  x257 + x258 + x259 = 1;
e147:  x260 + x261 + x262 = 1;
e148:  x263 + x264 + x265 = 1;
e149:  x266 + x267 + x268 = 1;
e150:  x269 + x270 + x271 = 1;
e151:  x272 + x273 + x274 = 1;
e152:  x275 + x276 + x277 = 1;
e153:  x278 + x279 + x280 = 1;
e154:  x281 + x282 + x283 = 1;
e155:  x284 + x285 + x286 = 1;
e156:  x287 + x288 + x289 = 1;
e157:  x290 + x291 + x292 = 1;
e158:  x293 + x294 + x295 = 1;
e159:  x296 + x297 + x298 = 1;
e160:  x299 + x300 + x301 = 1;
e161:  x302 + x303 + x304 = 1;
e162:  x305 + x306 + x307 = 1;
e163:  x308 + x309 + x310 = 1;
e164:  x311 + x312 + x313 = 1;
e165:  x314 + x315 + x316 = 1;