#  NLP written by GAMS Convert at 01/12/18 13:30:05
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        201      201        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        304      304        0        0        0        0        0        0
#  FX      2        2        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       1203        3     1200        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= 0, <= 1;
var x2 >= 0, <= 1;
var x3 >= 0, <= 1;
var x4 >= 0, <= 1;
var x5 >= 0, <= 1;
var x6 >= 0, <= 1;
var x7 >= 0, <= 1;
var x8 >= 0, <= 1;
var x9 >= 0, <= 1;
var x10 >= 0, <= 1;
var x11 >= 0, <= 1;
var x12 >= 0, <= 1;
var x13 >= 0, <= 1;
var x14 >= 0, <= 1;
var x15 >= 0, <= 1;
var x16 >= 0, <= 1;
var x17 >= 0, <= 1;
var x18 >= 0, <= 1;
var x19 >= 0, <= 1;
var x20 >= 0, <= 1;
var x21 >= 0, <= 1;
var x22 >= 0, <= 1;
var x23 >= 0, <= 1;
var x24 >= 0, <= 1;
var x25 >= 0, <= 1;
var x26 >= 0, <= 1;
var x27 >= 0, <= 1;
var x28 >= 0, <= 1;
var x29 >= 0, <= 1;
var x30 >= 0, <= 1;
var x31 >= 0, <= 1;
var x32 >= 0, <= 1;
var x33 >= 0, <= 1;
var x34 >= 0, <= 1;
var x35 >= 0, <= 1;
var x36 >= 0, <= 1;
var x37 >= 0, <= 1;
var x38 >= 0, <= 1;
var x39 >= 0, <= 1;
var x40 >= 0, <= 1;
var x41 >= 0, <= 1;
var x42 >= 0, <= 1;
var x43 >= 0, <= 1;
var x44 >= 0, <= 1;
var x45 >= 0, <= 1;
var x46 >= 0, <= 1;
var x47 >= 0, <= 1;
var x48 >= 0, <= 1;
var x49 >= 0, <= 1;
var x50 >= 0, <= 1;
var x51 >= 0, <= 1;
var x52 >= 0, <= 1;
var x53 >= 0, <= 1;
var x54 >= 0, <= 1;
var x55 >= 0, <= 1;
var x56 >= 0, <= 1;
var x57 >= 0, <= 1;
var x58 >= 0, <= 1;
var x59 >= 0, <= 1;
var x60 >= 0, <= 1;
var x61 >= 0, <= 1;
var x62 >= 0, <= 1;
var x63 >= 0, <= 1;
var x64 >= 0, <= 1;
var x65 >= 0, <= 1;
var x66 >= 0, <= 1;
var x67 >= 0, <= 1;
var x68 >= 0, <= 1;
var x69 >= 0, <= 1;
var x70 >= 0, <= 1;
var x71 >= 0, <= 1;
var x72 >= 0, <= 1;
var x73 >= 0, <= 1;
var x74 >= 0, <= 1;
var x75 >= 0, <= 1;
var x76 >= 0, <= 1;
var x77 >= 0, <= 1;
var x78 >= 0, <= 1;
var x79 >= 0, <= 1;
var x80 >= 0, <= 1;
var x81 >= 0, <= 1;
var x82 >= 0, <= 1;
var x83 >= 0, <= 1;
var x84 >= 0, <= 1;
var x85 >= 0, <= 1;
var x86 >= 0, <= 1;
var x87 >= 0, <= 1;
var x88 >= 0, <= 1;
var x89 >= 0, <= 1;
var x90 >= 0, <= 1;
var x91 >= 0, <= 1;
var x92 >= 0, <= 1;
var x93 >= 0, <= 1;
var x94 >= 0, <= 1;
var x95 >= 0, <= 1;
var x96 >= 0, <= 1;
var x97 >= 0, <= 1;
var x98 >= 0, <= 1;
var x99 >= 0, <= 1;
var x100 >= 0, <= 1;
var x101 >= 0, <= 1;
var x102 := 1, >= 1, <= 1;
var x103 := 1;
var x104 := 1;
var x105 := 1;
var x106 := 1;
var x107 := 1;
var x108 := 1;
var x109 := 1;
var x110 := 1;
var x111 := 1;
var x112 := 1;
var x113 := 1;
var x114 := 1;
var x115 := 1;
var x116 := 1;
var x117 := 1;
var x118 := 1;
var x119 := 1;
var x120 := 1;
var x121 := 1;
var x122 := 1;
var x123 := 1;
var x124 := 1;
var x125 := 1;
var x126 := 1;
var x127 := 1;
var x128 := 1;
var x129 := 1;
var x130 := 1;
var x131 := 1;
var x132 := 1;
var x133 := 1;
var x134 := 1;
var x135 := 1;
var x136 := 1;
var x137 := 1;
var x138 := 1;
var x139 := 1;
var x140 := 1;
var x141 := 1;
var x142 := 1;
var x143 := 1;
var x144 := 1;
var x145 := 1;
var x146 := 1;
var x147 := 1;
var x148 := 1;
var x149 := 1;
var x150 := 1;
var x151 := 1;
var x152 := 1;
var x153 := 1;
var x154 := 1;
var x155 := 1;
var x156 := 1;
var x157 := 1;
var x158 := 1;
var x159 := 1;
var x160 := 1;
var x161 := 1;
var x162 := 1;
var x163 := 1;
var x164 := 1;
var x165 := 1;
var x166 := 1;
var x167 := 1;
var x168 := 1;
var x169 := 1;
var x170 := 1;
var x171 := 1;
var x172 := 1;
var x173 := 1;
var x174 := 1;
var x175 := 1;
var x176 := 1;
var x177 := 1;
var x178 := 1;
var x179 := 1;
var x180 := 1;
var x181 := 1;
var x182 := 1;
var x183 := 1;
var x184 := 1;
var x185 := 1;
var x186 := 1;
var x187 := 1;
var x188 := 1;
var x189 := 1;
var x190 := 1;
var x191 := 1;
var x192 := 1;
var x193 := 1;
var x194 := 1;
var x195 := 1;
var x196 := 1;
var x197 := 1;
var x198 := 1;
var x199 := 1;
var x200 := 1;
var x201 := 1;
var x202 := 1;
var x203 >= 0, <= 0;
var x204;
var x205;
var x206;
var x207;
var x208;
var x209;
var x210;
var x211;
var x212;
var x213;
var x214;
var x215;
var x216;
var x217;
var x218;
var x219;
var x220;
var x221;
var x222;
var x223;
var x224;
var x225;
var x226;
var x227;
var x228;
var x229;
var x230;
var x231;
var x232;
var x233;
var x234;
var x235;
var x236;
var x237;
var x238;
var x239;
var x240;
var x241;
var x242;
var x243;
var x244;
var x245;
var x246;
var x247;
var x248;
var x249;
var x250;
var x251;
var x252;
var x253;
var x254;
var x255;
var x256;
var x257;
var x258;
var x259;
var x260;
var x261;
var x262;
var x263;
var x264;
var x265;
var x266;
var x267;
var x268;
var x269;
var x270;
var x271;
var x272;
var x273;
var x274;
var x275;
var x276;
var x277;
var x278;
var x279;
var x280;
var x281;
var x282;
var x283;
var x284;
var x285;
var x286;
var x287;
var x288;
var x289;
var x290;
var x291;
var x292;
var x293;
var x294;
var x295;
var x296;
var x297;
var x298;
var x299;
var x300;
var x301;
var x302;
var x303;

minimize obj:    x202 + x303 - 1;

subject to

e2: x103 - (0.005*(x1*(10*x203 - x102) + x2*(10*x204 - x103)) + x102) = 0;

e3: x104 - (0.005*(x2*(10*x204 - x103) + x3*(10*x205 - x104)) + x103) = 0;

e4: x105 - (0.005*(x3*(10*x205 - x104) + x4*(10*x206 - x105)) + x104) = 0;

e5: x106 - (0.005*(x4*(10*x206 - x105) + x5*(10*x207 - x106)) + x105) = 0;

e6: x107 - (0.005*(x5*(10*x207 - x106) + x6*(10*x208 - x107)) + x106) = 0;

e7: x108 - (0.005*(x6*(10*x208 - x107) + x7*(10*x209 - x108)) + x107) = 0;

e8: x109 - (0.005*(x7*(10*x209 - x108) + x8*(10*x210 - x109)) + x108) = 0;

e9: x110 - (0.005*(x8*(10*x210 - x109) + x9*(10*x211 - x110)) + x109) = 0;

e10: x111 - (0.005*(x9*(10*x211 - x110) + x10*(10*x212 - x111)) + x110) = 0;

e11: x112 - (0.005*(x10*(10*x212 - x111) + x11*(10*x213 - x112)) + x111) = 0;

e12: x113 - (0.005*(x11*(10*x213 - x112) + x12*(10*x214 - x113)) + x112) = 0;

e13: x114 - (0.005*(x12*(10*x214 - x113) + x13*(10*x215 - x114)) + x113) = 0;

e14: x115 - (0.005*(x13*(10*x215 - x114) + x14*(10*x216 - x115)) + x114) = 0;

e15: x116 - (0.005*(x14*(10*x216 - x115) + x15*(10*x217 - x116)) + x115) = 0;

e16: x117 - (0.005*(x15*(10*x217 - x116) + x16*(10*x218 - x117)) + x116) = 0;

e17: x118 - (0.005*(x16*(10*x218 - x117) + x17*(10*x219 - x118)) + x117) = 0;

e18: x119 - (0.005*(x17*(10*x219 - x118) + x18*(10*x220 - x119)) + x118) = 0;

e19: x120 - (0.005*(x18*(10*x220 - x119) + x19*(10*x221 - x120)) + x119) = 0;

e20: x121 - (0.005*(x19*(10*x221 - x120) + x20*(10*x222 - x121)) + x120) = 0;

e21: x122 - (0.005*(x20*(10*x222 - x121) + x21*(10*x223 - x122)) + x121) = 0;

e22: x123 - (0.005*(x21*(10*x223 - x122) + x22*(10*x224 - x123)) + x122) = 0;

e23: x124 - (0.005*(x22*(10*x224 - x123) + x23*(10*x225 - x124)) + x123) = 0;

e24: x125 - (0.005*(x23*(10*x225 - x124) + x24*(10*x226 - x125)) + x124) = 0;

e25: x126 - (0.005*(x24*(10*x226 - x125) + x25*(10*x227 - x126)) + x125) = 0;

e26: x127 - (0.005*(x25*(10*x227 - x126) + x26*(10*x228 - x127)) + x126) = 0;

e27: x128 - (0.005*(x26*(10*x228 - x127) + x27*(10*x229 - x128)) + x127) = 0;

e28: x129 - (0.005*(x27*(10*x229 - x128) + x28*(10*x230 - x129)) + x128) = 0;

e29: x130 - (0.005*(x28*(10*x230 - x129) + x29*(10*x231 - x130)) + x129) = 0;

e30: x131 - (0.005*(x29*(10*x231 - x130) + x30*(10*x232 - x131)) + x130) = 0;

e31: x132 - (0.005*(x30*(10*x232 - x131) + x31*(10*x233 - x132)) + x131) = 0;

e32: x133 - (0.005*(x31*(10*x233 - x132) + x32*(10*x234 - x133)) + x132) = 0;

e33: x134 - (0.005*(x32*(10*x234 - x133) + x33*(10*x235 - x134)) + x133) = 0;

e34: x135 - (0.005*(x33*(10*x235 - x134) + x34*(10*x236 - x135)) + x134) = 0;

e35: x136 - (0.005*(x34*(10*x236 - x135) + x35*(10*x237 - x136)) + x135) = 0;

e36: x137 - (0.005*(x35*(10*x237 - x136) + x36*(10*x238 - x137)) + x136) = 0;

e37: x138 - (0.005*(x36*(10*x238 - x137) + x37*(10*x239 - x138)) + x137) = 0;

e38: x139 - (0.005*(x37*(10*x239 - x138) + x38*(10*x240 - x139)) + x138) = 0;

e39: x140 - (0.005*(x38*(10*x240 - x139) + x39*(10*x241 - x140)) + x139) = 0;

e40: x141 - (0.005*(x39*(10*x241 - x140) + x40*(10*x242 - x141)) + x140) = 0;

e41: x142 - (0.005*(x40*(10*x242 - x141) + x41*(10*x243 - x142)) + x141) = 0;

e42: x143 - (0.005*(x41*(10*x243 - x142) + x42*(10*x244 - x143)) + x142) = 0;

e43: x144 - (0.005*(x42*(10*x244 - x143) + x43*(10*x245 - x144)) + x143) = 0;

e44: x145 - (0.005*(x43*(10*x245 - x144) + x44*(10*x246 - x145)) + x144) = 0;

e45: x146 - (0.005*(x44*(10*x246 - x145) + x45*(10*x247 - x146)) + x145) = 0;

e46: x147 - (0.005*(x45*(10*x247 - x146) + x46*(10*x248 - x147)) + x146) = 0;

e47: x148 - (0.005*(x46*(10*x248 - x147) + x47*(10*x249 - x148)) + x147) = 0;

e48: x149 - (0.005*(x47*(10*x249 - x148) + x48*(10*x250 - x149)) + x148) = 0;

e49: x150 - (0.005*(x48*(10*x250 - x149) + x49*(10*x251 - x150)) + x149) = 0;

e50: x151 - (0.005*(x49*(10*x251 - x150) + x50*(10*x252 - x151)) + x150) = 0;

e51: x152 - (0.005*(x50*(10*x252 - x151) + x51*(10*x253 - x152)) + x151) = 0;

e52: x153 - (0.005*(x51*(10*x253 - x152) + x52*(10*x254 - x153)) + x152) = 0;

e53: x154 - (0.005*(x52*(10*x254 - x153) + x53*(10*x255 - x154)) + x153) = 0;

e54: x155 - (0.005*(x53*(10*x255 - x154) + x54*(10*x256 - x155)) + x154) = 0;

e55: x156 - (0.005*(x54*(10*x256 - x155) + x55*(10*x257 - x156)) + x155) = 0;

e56: x157 - (0.005*(x55*(10*x257 - x156) + x56*(10*x258 - x157)) + x156) = 0;

e57: x158 - (0.005*(x56*(10*x258 - x157) + x57*(10*x259 - x158)) + x157) = 0;

e58: x159 - (0.005*(x57*(10*x259 - x158) + x58*(10*x260 - x159)) + x158) = 0;

e59: x160 - (0.005*(x58*(10*x260 - x159) + x59*(10*x261 - x160)) + x159) = 0;

e60: x161 - (0.005*(x59*(10*x261 - x160) + x60*(10*x262 - x161)) + x160) = 0;

e61: x162 - (0.005*(x60*(10*x262 - x161) + x61*(10*x263 - x162)) + x161) = 0;

e62: x163 - (0.005*(x61*(10*x263 - x162) + x62*(10*x264 - x163)) + x162) = 0;

e63: x164 - (0.005*(x62*(10*x264 - x163) + x63*(10*x265 - x164)) + x163) = 0;

e64: x165 - (0.005*(x63*(10*x265 - x164) + x64*(10*x266 - x165)) + x164) = 0;

e65: x166 - (0.005*(x64*(10*x266 - x165) + x65*(10*x267 - x166)) + x165) = 0;

e66: x167 - (0.005*(x65*(10*x267 - x166) + x66*(10*x268 - x167)) + x166) = 0;

e67: x168 - (0.005*(x66*(10*x268 - x167) + x67*(10*x269 - x168)) + x167) = 0;

e68: x169 - (0.005*(x67*(10*x269 - x168) + x68*(10*x270 - x169)) + x168) = 0;

e69: x170 - (0.005*(x68*(10*x270 - x169) + x69*(10*x271 - x170)) + x169) = 0;

e70: x171 - (0.005*(x69*(10*x271 - x170) + x70*(10*x272 - x171)) + x170) = 0;

e71: x172 - (0.005*(x70*(10*x272 - x171) + x71*(10*x273 - x172)) + x171) = 0;

e72: x173 - (0.005*(x71*(10*x273 - x172) + x72*(10*x274 - x173)) + x172) = 0;

e73: x174 - (0.005*(x72*(10*x274 - x173) + x73*(10*x275 - x174)) + x173) = 0;

e74: x175 - (0.005*(x73*(10*x275 - x174) + x74*(10*x276 - x175)) + x174) = 0;

e75: x176 - (0.005*(x74*(10*x276 - x175) + x75*(10*x277 - x176)) + x175) = 0;

e76: x177 - (0.005*(x75*(10*x277 - x176) + x76*(10*x278 - x177)) + x176) = 0;

e77: x178 - (0.005*(x76*(10*x278 - x177) + x77*(10*x279 - x178)) + x177) = 0;

e78: x179 - (0.005*(x77*(10*x279 - x178) + x78*(10*x280 - x179)) + x178) = 0;

e79: x180 - (0.005*(x78*(10*x280 - x179) + x79*(10*x281 - x180)) + x179) = 0;

e80: x181 - (0.005*(x79*(10*x281 - x180) + x80*(10*x282 - x181)) + x180) = 0;

e81: x182 - (0.005*(x80*(10*x282 - x181) + x81*(10*x283 - x182)) + x181) = 0;

e82: x183 - (0.005*(x81*(10*x283 - x182) + x82*(10*x284 - x183)) + x182) = 0;

e83: x184 - (0.005*(x82*(10*x284 - x183) + x83*(10*x285 - x184)) + x183) = 0;

e84: x185 - (0.005*(x83*(10*x285 - x184) + x84*(10*x286 - x185)) + x184) = 0;

e85: x186 - (0.005*(x84*(10*x286 - x185) + x85*(10*x287 - x186)) + x185) = 0;

e86: x187 - (0.005*(x85*(10*x287 - x186) + x86*(10*x288 - x187)) + x186) = 0;

e87: x188 - (0.005*(x86*(10*x288 - x187) + x87*(10*x289 - x188)) + x187) = 0;

e88: x189 - (0.005*(x87*(10*x289 - x188) + x88*(10*x290 - x189)) + x188) = 0;

e89: x190 - (0.005*(x88*(10*x290 - x189) + x89*(10*x291 - x190)) + x189) = 0;

e90: x191 - (0.005*(x89*(10*x291 - x190) + x90*(10*x292 - x191)) + x190) = 0;

e91: x192 - (0.005*(x90*(10*x292 - x191) + x91*(10*x293 - x192)) + x191) = 0;

e92: x193 - (0.005*(x91*(10*x293 - x192) + x92*(10*x294 - x193)) + x192) = 0;

e93: x194 - (0.005*(x92*(10*x294 - x193) + x93*(10*x295 - x194)) + x193) = 0;

e94: x195 - (0.005*(x93*(10*x295 - x194) + x94*(10*x296 - x195)) + x194) = 0;

e95: x196 - (0.005*(x94*(10*x296 - x195) + x95*(10*x297 - x196)) + x195) = 0;

e96: x197 - (0.005*(x95*(10*x297 - x196) + x96*(10*x298 - x197)) + x196) = 0;

e97: x198 - (0.005*(x96*(10*x298 - x197) + x97*(10*x299 - x198)) + x197) = 0;

e98: x199 - (0.005*(x97*(10*x299 - x198) + x98*(10*x300 - x199)) + x198) = 0;

e99: x200 - (0.005*(x98*(10*x300 - x199) + x99*(10*x301 - x200)) + x199) = 0;

e100: x201 - (0.005*(x99*(10*x301 - x200) + x100*(10*x302 - x201)) + x200) = 0;

e101: x202 - (0.005*(x100*(10*x302 - x201) + x101*(10*x303 - x202)) + x201)
       = 0;

e102: x204 - (0.005*(x1*(x102 - 10*x203) - (1 - x1)*x203 + x2*(x103 - 10*x204)
       - (1 - x2)*x204) + x203) = 0;

e103: x205 - (0.005*(x2*(x103 - 10*x204) - (1 - x2)*x204 + x3*(x104 - 10*x205)
       - (1 - x3)*x205) + x204) = 0;

e104: x206 - (0.005*(x3*(x104 - 10*x205) - (1 - x3)*x205 + x4*(x105 - 10*x206)
       - (1 - x4)*x206) + x205) = 0;

e105: x207 - (0.005*(x4*(x105 - 10*x206) - (1 - x4)*x206 + x5*(x106 - 10*x207)
       - (1 - x5)*x207) + x206) = 0;

e106: x208 - (0.005*(x5*(x106 - 10*x207) - (1 - x5)*x207 + x6*(x107 - 10*x208)
       - (1 - x6)*x208) + x207) = 0;

e107: x209 - (0.005*(x6*(x107 - 10*x208) - (1 - x6)*x208 + x7*(x108 - 10*x209)
       - (1 - x7)*x209) + x208) = 0;

e108: x210 - (0.005*(x7*(x108 - 10*x209) - (1 - x7)*x209 + x8*(x109 - 10*x210)
       - (1 - x8)*x210) + x209) = 0;

e109: x211 - (0.005*(x8*(x109 - 10*x210) - (1 - x8)*x210 + x9*(x110 - 10*x211)
       - (1 - x9)*x211) + x210) = 0;

e110: x212 - (0.005*(x9*(x110 - 10*x211) - (1 - x9)*x211 + x10*(x111 - 10*x212)
       - (1 - x10)*x212) + x211) = 0;

e111: x213 - (0.005*(x10*(x111 - 10*x212) - (1 - x10)*x212 + x11*(x112 - 10*
      x213) - (1 - x11)*x213) + x212) = 0;

e112: x214 - (0.005*(x11*(x112 - 10*x213) - (1 - x11)*x213 + x12*(x113 - 10*
      x214) - (1 - x12)*x214) + x213) = 0;

e113: x215 - (0.005*(x12*(x113 - 10*x214) - (1 - x12)*x214 + x13*(x114 - 10*
      x215) - (1 - x13)*x215) + x214) = 0;

e114: x216 - (0.005*(x13*(x114 - 10*x215) - (1 - x13)*x215 + x14*(x115 - 10*
      x216) - (1 - x14)*x216) + x215) = 0;

e115: x217 - (0.005*(x14*(x115 - 10*x216) - (1 - x14)*x216 + x15*(x116 - 10*
      x217) - (1 - x15)*x217) + x216) = 0;

e116: x218 - (0.005*(x15*(x116 - 10*x217) - (1 - x15)*x217 + x16*(x117 - 10*
      x218) - (1 - x16)*x218) + x217) = 0;

e117: x219 - (0.005*(x16*(x117 - 10*x218) - (1 - x16)*x218 + x17*(x118 - 10*
      x219) - (1 - x17)*x219) + x218) = 0;

e118: x220 - (0.005*(x17*(x118 - 10*x219) - (1 - x17)*x219 + x18*(x119 - 10*
      x220) - (1 - x18)*x220) + x219) = 0;

e119: x221 - (0.005*(x18*(x119 - 10*x220) - (1 - x18)*x220 + x19*(x120 - 10*
      x221) - (1 - x19)*x221) + x220) = 0;

e120: x222 - (0.005*(x19*(x120 - 10*x221) - (1 - x19)*x221 + x20*(x121 - 10*
      x222) - (1 - x20)*x222) + x221) = 0;

e121: x223 - (0.005*(x20*(x121 - 10*x222) - (1 - x20)*x222 + x21*(x122 - 10*
      x223) - (1 - x21)*x223) + x222) = 0;

e122: x224 - (0.005*(x21*(x122 - 10*x223) - (1 - x21)*x223 + x22*(x123 - 10*
      x224) - (1 - x22)*x224) + x223) = 0;

e123: x225 - (0.005*(x22*(x123 - 10*x224) - (1 - x22)*x224 + x23*(x124 - 10*
      x225) - (1 - x23)*x225) + x224) = 0;

e124: x226 - (0.005*(x23*(x124 - 10*x225) - (1 - x23)*x225 + x24*(x125 - 10*
      x226) - (1 - x24)*x226) + x225) = 0;

e125: x227 - (0.005*(x24*(x125 - 10*x226) - (1 - x24)*x226 + x25*(x126 - 10*
      x227) - (1 - x25)*x227) + x226) = 0;

e126: x228 - (0.005*(x25*(x126 - 10*x227) - (1 - x25)*x227 + x26*(x127 - 10*
      x228) - (1 - x26)*x228) + x227) = 0;

e127: x229 - (0.005*(x26*(x127 - 10*x228) - (1 - x26)*x228 + x27*(x128 - 10*
      x229) - (1 - x27)*x229) + x228) = 0;

e128: x230 - (0.005*(x27*(x128 - 10*x229) - (1 - x27)*x229 + x28*(x129 - 10*
      x230) - (1 - x28)*x230) + x229) = 0;

e129: x231 - (0.005*(x28*(x129 - 10*x230) - (1 - x28)*x230 + x29*(x130 - 10*
      x231) - (1 - x29)*x231) + x230) = 0;

e130: x232 - (0.005*(x29*(x130 - 10*x231) - (1 - x29)*x231 + x30*(x131 - 10*
      x232) - (1 - x30)*x232) + x231) = 0;

e131: x233 - (0.005*(x30*(x131 - 10*x232) - (1 - x30)*x232 + x31*(x132 - 10*
      x233) - (1 - x31)*x233) + x232) = 0;

e132: x234 - (0.005*(x31*(x132 - 10*x233) - (1 - x31)*x233 + x32*(x133 - 10*
      x234) - (1 - x32)*x234) + x233) = 0;

e133: x235 - (0.005*(x32*(x133 - 10*x234) - (1 - x32)*x234 + x33*(x134 - 10*
      x235) - (1 - x33)*x235) + x234) = 0;

e134: x236 - (0.005*(x33*(x134 - 10*x235) - (1 - x33)*x235 + x34*(x135 - 10*
      x236) - (1 - x34)*x236) + x235) = 0;

e135: x237 - (0.005*(x34*(x135 - 10*x236) - (1 - x34)*x236 + x35*(x136 - 10*
      x237) - (1 - x35)*x237) + x236) = 0;

e136: x238 - (0.005*(x35*(x136 - 10*x237) - (1 - x35)*x237 + x36*(x137 - 10*
      x238) - (1 - x36)*x238) + x237) = 0;

e137: x239 - (0.005*(x36*(x137 - 10*x238) - (1 - x36)*x238 + x37*(x138 - 10*
      x239) - (1 - x37)*x239) + x238) = 0;

e138: x240 - (0.005*(x37*(x138 - 10*x239) - (1 - x37)*x239 + x38*(x139 - 10*
      x240) - (1 - x38)*x240) + x239) = 0;

e139: x241 - (0.005*(x38*(x139 - 10*x240) - (1 - x38)*x240 + x39*(x140 - 10*
      x241) - (1 - x39)*x241) + x240) = 0;

e140: x242 - (0.005*(x39*(x140 - 10*x241) - (1 - x39)*x241 + x40*(x141 - 10*
      x242) - (1 - x40)*x242) + x241) = 0;

e141: x243 - (0.005*(x40*(x141 - 10*x242) - (1 - x40)*x242 + x41*(x142 - 10*
      x243) - (1 - x41)*x243) + x242) = 0;

e142: x244 - (0.005*(x41*(x142 - 10*x243) - (1 - x41)*x243 + x42*(x143 - 10*
      x244) - (1 - x42)*x244) + x243) = 0;

e143: x245 - (0.005*(x42*(x143 - 10*x244) - (1 - x42)*x244 + x43*(x144 - 10*
      x245) - (1 - x43)*x245) + x244) = 0;

e144: x246 - (0.005*(x43*(x144 - 10*x245) - (1 - x43)*x245 + x44*(x145 - 10*
      x246) - (1 - x44)*x246) + x245) = 0;

e145: x247 - (0.005*(x44*(x145 - 10*x246) - (1 - x44)*x246 + x45*(x146 - 10*
      x247) - (1 - x45)*x247) + x246) = 0;

e146: x248 - (0.005*(x45*(x146 - 10*x247) - (1 - x45)*x247 + x46*(x147 - 10*
      x248) - (1 - x46)*x248) + x247) = 0;

e147: x249 - (0.005*(x46*(x147 - 10*x248) - (1 - x46)*x248 + x47*(x148 - 10*
      x249) - (1 - x47)*x249) + x248) = 0;

e148: x250 - (0.005*(x47*(x148 - 10*x249) - (1 - x47)*x249 + x48*(x149 - 10*
      x250) - (1 - x48)*x250) + x249) = 0;

e149: x251 - (0.005*(x48*(x149 - 10*x250) - (1 - x48)*x250 + x49*(x150 - 10*
      x251) - (1 - x49)*x251) + x250) = 0;

e150: x252 - (0.005*(x49*(x150 - 10*x251) - (1 - x49)*x251 + x50*(x151 - 10*
      x252) - (1 - x50)*x252) + x251) = 0;

e151: x253 - (0.005*(x50*(x151 - 10*x252) - (1 - x50)*x252 + x51*(x152 - 10*
      x253) - (1 - x51)*x253) + x252) = 0;

e152: x254 - (0.005*(x51*(x152 - 10*x253) - (1 - x51)*x253 + x52*(x153 - 10*
      x254) - (1 - x52)*x254) + x253) = 0;

e153: x255 - (0.005*(x52*(x153 - 10*x254) - (1 - x52)*x254 + x53*(x154 - 10*
      x255) - (1 - x53)*x255) + x254) = 0;

e154: x256 - (0.005*(x53*(x154 - 10*x255) - (1 - x53)*x255 + x54*(x155 - 10*
      x256) - (1 - x54)*x256) + x255) = 0;

e155: x257 - (0.005*(x54*(x155 - 10*x256) - (1 - x54)*x256 + x55*(x156 - 10*
      x257) - (1 - x55)*x257) + x256) = 0;

e156: x258 - (0.005*(x55*(x156 - 10*x257) - (1 - x55)*x257 + x56*(x157 - 10*
      x258) - (1 - x56)*x258) + x257) = 0;

e157: x259 - (0.005*(x56*(x157 - 10*x258) - (1 - x56)*x258 + x57*(x158 - 10*
      x259) - (1 - x57)*x259) + x258) = 0;

e158: x260 - (0.005*(x57*(x158 - 10*x259) - (1 - x57)*x259 + x58*(x159 - 10*
      x260) - (1 - x58)*x260) + x259) = 0;

e159: x261 - (0.005*(x58*(x159 - 10*x260) - (1 - x58)*x260 + x59*(x160 - 10*
      x261) - (1 - x59)*x261) + x260) = 0;

e160: x262 - (0.005*(x59*(x160 - 10*x261) - (1 - x59)*x261 + x60*(x161 - 10*
      x262) - (1 - x60)*x262) + x261) = 0;

e161: x263 - (0.005*(x60*(x161 - 10*x262) - (1 - x60)*x262 + x61*(x162 - 10*
      x263) - (1 - x61)*x263) + x262) = 0;

e162: x264 - (0.005*(x61*(x162 - 10*x263) - (1 - x61)*x263 + x62*(x163 - 10*
      x264) - (1 - x62)*x264) + x263) = 0;

e163: x265 - (0.005*(x62*(x163 - 10*x264) - (1 - x62)*x264 + x63*(x164 - 10*
      x265) - (1 - x63)*x265) + x264) = 0;

e164: x266 - (0.005*(x63*(x164 - 10*x265) - (1 - x63)*x265 + x64*(x165 - 10*
      x266) - (1 - x64)*x266) + x265) = 0;

e165: x267 - (0.005*(x64*(x165 - 10*x266) - (1 - x64)*x266 + x65*(x166 - 10*
      x267) - (1 - x65)*x267) + x266) = 0;

e166: x268 - (0.005*(x65*(x166 - 10*x267) - (1 - x65)*x267 + x66*(x167 - 10*
      x268) - (1 - x66)*x268) + x267) = 0;

e167: x269 - (0.005*(x66*(x167 - 10*x268) - (1 - x66)*x268 + x67*(x168 - 10*
      x269) - (1 - x67)*x269) + x268) = 0;

e168: x270 - (0.005*(x67*(x168 - 10*x269) - (1 - x67)*x269 + x68*(x169 - 10*
      x270) - (1 - x68)*x270) + x269) = 0;

e169: x271 - (0.005*(x68*(x169 - 10*x270) - (1 - x68)*x270 + x69*(x170 - 10*
      x271) - (1 - x69)*x271) + x270) = 0;

e170: x272 - (0.005*(x69*(x170 - 10*x271) - (1 - x69)*x271 + x70*(x171 - 10*
      x272) - (1 - x70)*x272) + x271) = 0;

e171: x273 - (0.005*(x70*(x171 - 10*x272) - (1 - x70)*x272 + x71*(x172 - 10*
      x273) - (1 - x71)*x273) + x272) = 0;

e172: x274 - (0.005*(x71*(x172 - 10*x273) - (1 - x71)*x273 + x72*(x173 - 10*
      x274) - (1 - x72)*x274) + x273) = 0;

e173: x275 - (0.005*(x72*(x173 - 10*x274) - (1 - x72)*x274 + x73*(x174 - 10*
      x275) - (1 - x73)*x275) + x274) = 0;

e174: x276 - (0.005*(x73*(x174 - 10*x275) - (1 - x73)*x275 + x74*(x175 - 10*
      x276) - (1 - x74)*x276) + x275) = 0;

e175: x277 - (0.005*(x74*(x175 - 10*x276) - (1 - x74)*x276 + x75*(x176 - 10*
      x277) - (1 - x75)*x277) + x276) = 0;

e176: x278 - (0.005*(x75*(x176 - 10*x277) - (1 - x75)*x277 + x76*(x177 - 10*
      x278) - (1 - x76)*x278) + x277) = 0;

e177: x279 - (0.005*(x76*(x177 - 10*x278) - (1 - x76)*x278 + x77*(x178 - 10*
      x279) - (1 - x77)*x279) + x278) = 0;

e178: x280 - (0.005*(x77*(x178 - 10*x279) - (1 - x77)*x279 + x78*(x179 - 10*
      x280) - (1 - x78)*x280) + x279) = 0;

e179: x281 - (0.005*(x78*(x179 - 10*x280) - (1 - x78)*x280 + x79*(x180 - 10*
      x281) - (1 - x79)*x281) + x280) = 0;

e180: x282 - (0.005*(x79*(x180 - 10*x281) - (1 - x79)*x281 + x80*(x181 - 10*
      x282) - (1 - x80)*x282) + x281) = 0;

e181: x283 - (0.005*(x80*(x181 - 10*x282) - (1 - x80)*x282 + x81*(x182 - 10*
      x283) - (1 - x81)*x283) + x282) = 0;

e182: x284 - (0.005*(x81*(x182 - 10*x283) - (1 - x81)*x283 + x82*(x183 - 10*
      x284) - (1 - x82)*x284) + x283) = 0;

e183: x285 - (0.005*(x82*(x183 - 10*x284) - (1 - x82)*x284 + x83*(x184 - 10*
      x285) - (1 - x83)*x285) + x284) = 0;

e184: x286 - (0.005*(x83*(x184 - 10*x285) - (1 - x83)*x285 + x84*(x185 - 10*
      x286) - (1 - x84)*x286) + x285) = 0;

e185: x287 - (0.005*(x84*(x185 - 10*x286) - (1 - x84)*x286 + x85*(x186 - 10*
      x287) - (1 - x85)*x287) + x286) = 0;

e186: x288 - (0.005*(x85*(x186 - 10*x287) - (1 - x85)*x287 + x86*(x187 - 10*
      x288) - (1 - x86)*x288) + x287) = 0;

e187: x289 - (0.005*(x86*(x187 - 10*x288) - (1 - x86)*x288 + x87*(x188 - 10*
      x289) - (1 - x87)*x289) + x288) = 0;

e188: x290 - (0.005*(x87*(x188 - 10*x289) - (1 - x87)*x289 + x88*(x189 - 10*
      x290) - (1 - x88)*x290) + x289) = 0;

e189: x291 - (0.005*(x88*(x189 - 10*x290) - (1 - x88)*x290 + x89*(x190 - 10*
      x291) - (1 - x89)*x291) + x290) = 0;

e190: x292 - (0.005*(x89*(x190 - 10*x291) - (1 - x89)*x291 + x90*(x191 - 10*
      x292) - (1 - x90)*x292) + x291) = 0;

e191: x293 - (0.005*(x90*(x191 - 10*x292) - (1 - x90)*x292 + x91*(x192 - 10*
      x293) - (1 - x91)*x293) + x292) = 0;

e192: x294 - (0.005*(x91*(x192 - 10*x293) - (1 - x91)*x293 + x92*(x193 - 10*
      x294) - (1 - x92)*x294) + x293) = 0;

e193: x295 - (0.005*(x92*(x193 - 10*x294) - (1 - x92)*x294 + x93*(x194 - 10*
      x295) - (1 - x93)*x295) + x294) = 0;

e194: x296 - (0.005*(x93*(x194 - 10*x295) - (1 - x93)*x295 + x94*(x195 - 10*
      x296) - (1 - x94)*x296) + x295) = 0;

e195: x297 - (0.005*(x94*(x195 - 10*x296) - (1 - x94)*x296 + x95*(x196 - 10*
      x297) - (1 - x95)*x297) + x296) = 0;

e196: x298 - (0.005*(x95*(x196 - 10*x297) - (1 - x95)*x297 + x96*(x197 - 10*
      x298) - (1 - x96)*x298) + x297) = 0;

e197: x299 - (0.005*(x96*(x197 - 10*x298) - (1 - x96)*x298 + x97*(x198 - 10*
      x299) - (1 - x97)*x299) + x298) = 0;

e198: x300 - (0.005*(x97*(x198 - 10*x299) - (1 - x97)*x299 + x98*(x199 - 10*
      x300) - (1 - x98)*x300) + x299) = 0;

e199: x301 - (0.005*(x98*(x199 - 10*x300) - (1 - x98)*x300 + x99*(x200 - 10*
      x301) - (1 - x99)*x301) + x300) = 0;

e200: x302 - (0.005*(x99*(x200 - 10*x301) - (1 - x99)*x301 + x100*(x201 - 10*
      x302) - (1 - x100)*x302) + x301) = 0;

e201: x303 - (0.005*(x100*(x201 - 10*x302) - (1 - x100)*x302 + x101*(x202 - 10*
      x303) - (1 - x101)*x303) + x302) = 0;