#  QCP written by GAMS Convert at 02/15/18 15:46:19
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        157      145       12        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        335      335        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       2517      777     1740        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 100000;
var x3 >= 0, <= 100000;
var x4 >= 0, <= 100000;
var x5 >= 0, <= 100000;
var x6 >= 0, <= 100000;
var x7 >= 0, <= 100000;
var x8 >= 0, <= 100000;
var x9 >= 0, <= 100000;
var x10 >= 0, <= 100000;
var x11 >= 0, <= 100000;
var x12 >= 0, <= 100000;
var x13 >= 0, <= 100000;
var x14 >= 0, <= 100000;
var x15 >= 0, <= 100000;
var x16 >= 0, <= 100000;
var x17 >= 0, <= 100000;
var x18 >= 0, <= 100000;
var x19 >= 0, <= 100000;
var x20 >= 0, <= 100000;
var x21 >= 0, <= 100000;
var x22 >= 0, <= 100000;
var x23 >= 0, <= 100000;
var x24 >= 0, <= 100000;
var x25 >= 0, <= 100000;
var x26 >= 0, <= 100000;
var x27 >= 0, <= 100000;
var x28 >= 0, <= 100000;
var x29 >= 0, <= 100000;
var x30 >= 0, <= 100000;
var x31 >= 0, <= 100000;
var x32 >= 0, <= 100000;
var x33 >= 0, <= 100000;
var x34 >= 0, <= 100000;
var x35 >= 0, <= 100000;
var x36 >= 0, <= 100000;
var x37 >= 0, <= 100000;
var x38 >= 0, <= 100000;
var x39 >= 0, <= 100000;
var x40 >= 0, <= 100000;
var x41 >= 0, <= 100000;
var x42 >= 0, <= 100000;
var x43 >= 0, <= 100000;
var x44 >= 0, <= 100000;
var x45 >= 0, <= 100000;
var x46 >= 0, <= 100000;
var x47 >= 0, <= 100000;
var x48 >= 0, <= 100000;
var x49 >= 0, <= 100000;
var x50 >= 0, <= 45;
var x51 >= 0, <= 52;
var x52 >= 0, <= 189;
var x53 >= 0, <= 33;
var x54 >= 0, <= 210;
var x55 >= 0, <= 24;
var x56 >= 0, <= 120;
var x57 >= 0, <= 30;
var x58 >= 0, <= 30;
var x59 >= 0, <= 12234;
var x60 >= 0, <= 98;
var x61 >= 0, <= 656;
var x62 >= 0, <= 142;
var x63 >= 0, <= 420;
var x64 >= 0, <= 200;
var x65 >= 0, <= 13;
var x66 >= 0, <= 637;
var x67 >= 0, <= 24;
var x68 >= 0, <= 20;
var x69 >= 0, <= 25;
var x70 >= 0, <= 15;
var x71 >= 0, <= 25;
var x72 >= 0, <= 454;
var x73 >= 0, <= 256;
var x74 >= 0, <= 350;
var x75 >= 0, <= 48;
var x76 >= 0, <= 260;
var x77 >= 0, <= 21;
var x78 >= 0, <= 278;
var x79 >= 0, <= 12;
var x80 >= 0, <= 20;
var x81 >= 0, <= 50;
var x82 >= 0, <= 100;
var x83 >= 0, <= 30;
var x84 >= 0, <= 70;
var x85 >= 0, <= 20;
var x86 >= 0, <= 45;
var x87 >= 0, <= 52;
var x88 >= 0, <= 189;
var x89 >= 0, <= 33;
var x90 >= 0, <= 210;
var x91 >= 0, <= 24;
var x92 >= 0, <= 120;
var x93 >= 0, <= 30;
var x94 >= 0, <= 30;
var x95 >= 0, <= 12234;
var x96 >= 0, <= 98;
var x97 >= 0, <= 656;
var x98 >= 0, <= 142;
var x99 >= 0, <= 420;
var x100 >= 0, <= 200;
var x101 >= 0, <= 13;
var x102 >= 0, <= 637;
var x103 >= 0, <= 24;
var x104 >= 0, <= 20;
var x105 >= 0, <= 25;
var x106 >= 0, <= 15;
var x107 >= 0, <= 25;
var x108 >= 0, <= 454;
var x109 >= 0, <= 256;
var x110 >= 0, <= 139;
var x111 >= 0, <= 400;
var x112 >= 0, <= 435;
var x113 >= 0, <= 37;
var x114 >= 0, <= 378;
var x115 >= 0, <= 124;
var x116 >= 0, <= 245;
var x117 >= 0, <= 125;
var x118 >= 0, <= 85;
var x119 >= 0, <= 14728;
var x120 >= 0, <= 124;
var x121 >= 0, <= 754;
var x122 >= 0, <= 222;
var x123 >= 0, <= 459;
var x124 >= 0, <= 567;
var x125 >= 0, <= 56;
var x126 >= 0, <= 768;
var x127 >= 0, <= 58;
var x128 >= 0, <= 47;
var x129 >= 0, <= 367;
var x130 >= 0, <= 320;
var x131 >= 0, <= 433;
var x132 >= 0, <= 589;
var x133 >= 0, <= 467;
var x134 >= 0, <= 850;
var x135 >= 0, <= 3560;
var x136 >= 0, <= 400;
var x137 >= 0, <= 56;
var x138 >= 0, <= 436;
var x139 >= 0, <= 90;
var x140 >= 0, <= 100;
var x141 >= 0, <= 150;
var x142 >= 0, <= 250;
var x143 >= 0, <= 90;
var x144 >= 0, <= 150;
var x145 >= 0, <= 80;
var x146 >= 0, <= 68;
var x147 >= 0, <= 90;
var x148 >= 0, <= 230;
var x149 >= 0, <= 33;
var x150 >= 0, <= 410;
var x151 >= 0, <= 150;
var x152 >= 0, <= 170;
var x153 >= 0, <= 130;
var x154 >= 0, <= 100;
var x155 >= 0, <= 22234;
var x156 >= 0, <= 198;
var x157 >= 0, <= 1000;
var x158 >= 0, <= 342;
var x159 >= 0, <= 720;
var x160 >= 0, <= 400;
var x161 >= 0, <= 40;
var x162 >= 0, <= 767;
var x163 >= 0, <= 700;
var x164 >= 0, <= 320;
var x165 >= 0, <= 60;
var x166 >= 0, <= 100;
var x167 >= 0, <= 55;
var x168 >= 0, <= 1000;
var x169 >= 0, <= 800;
var x170 >= 0, <= 34;
var x171 >= 0, <= 100000;
var x172 >= 0, <= 100000;
var x173 >= 0, <= 100000;
var x174 >= 0, <= 100000;
var x175 >= 0, <= 100000;
var x176 >= 0, <= 100000;
var x177 >= 0, <= 100000;
var x178 >= 0, <= 100000;
var x179 >= 0, <= 100000;
var x180 >= 0, <= 100000;
var x181 >= 0, <= 100000;
var x182 >= 0, <= 100000;
var x183 >= 0, <= 74;
var x184 >= 0, <= 100000;
var x185 >= 0, <= 100000;
var x186 >= 0, <= 100000;
var x187 >= 0, <= 100000;
var x188 >= 0, <= 100000;
var x189 >= 0, <= 100000;
var x190 >= 0, <= 100000;
var x191 >= 0, <= 100000;
var x192 >= 0, <= 100000;
var x193 >= 0, <= 100000;
var x194 >= 0, <= 100000;
var x195 >= 0, <= 100000;
var x196 >= 0, <= 126;
var x197 >= 0, <= 100000;
var x198 >= 0, <= 100000;
var x199 >= 0, <= 100000;
var x200 >= 0, <= 100000;
var x201 >= 0, <= 100000;
var x202 >= 0, <= 100000;
var x203 >= 0, <= 100000;
var x204 >= 0, <= 100000;
var x205 >= 0, <= 100000;
var x206 >= 0, <= 100000;
var x207 >= 0, <= 100000;
var x208 >= 0, <= 100000;
var x209 >= 0, <= 88;
var x210 >= 0, <= 100000;
var x211 >= 0, <= 100000;
var x212 >= 0, <= 100000;
var x213 >= 0, <= 100000;
var x214 >= 0, <= 100000;
var x215 >= 0, <= 100000;
var x216 >= 0, <= 100000;
var x217 >= 0, <= 100000;
var x218 >= 0, <= 100000;
var x219 >= 0, <= 100000;
var x220 >= 0, <= 100000;
var x221 >= 0, <= 100000;
var x222 >= 0, <= 100;
var x223 >= 0, <= 100000;
var x224 >= 0, <= 100000;
var x225 >= 0, <= 100000;
var x226 >= 0, <= 100000;
var x227 >= 0, <= 100000;
var x228 >= 0, <= 100000;
var x229 >= 0, <= 100000;
var x230 >= 0, <= 100000;
var x231 >= 0, <= 100000;
var x232 >= 0, <= 100000;
var x233 >= 0, <= 100000;
var x234 >= 0, <= 100000;
var x235 >= 0, <= 55;
var x236 >= 0, <= 100000;
var x237 >= 0, <= 100000;
var x238 >= 0, <= 100000;
var x239 >= 0, <= 100000;
var x240 >= 0, <= 100000;
var x241 >= 0, <= 100000;
var x242 >= 0, <= 100000;
var x243 >= 0, <= 100000;
var x244 >= 0, <= 100000;
var x245 >= 0, <= 100000;
var x246 >= 0, <= 100000;
var x247 >= 0, <= 100000;
var x248 >= 0, <= 100;
var x249 >= 0, <= 100000;
var x250 >= 0, <= 100000;
var x251 >= 0, <= 100000;
var x252 >= 0, <= 100000;
var x253 >= 0, <= 100000;
var x254 >= 0, <= 100000;
var x255 >= 0, <= 100000;
var x256 >= 0, <= 100000;
var x257 >= 0, <= 100000;
var x258 >= 0, <= 100000;
var x259 >= 0, <= 100000;
var x260 >= 0, <= 100000;
var x261 >= 0, <= 26;
var x262 >= 0, <= 100000;
var x263 >= 0, <= 100000;
var x264 >= 0, <= 100000;
var x265 >= 0, <= 100000;
var x266 >= 0, <= 100000;
var x267 >= 0, <= 100000;
var x268 >= 0, <= 100000;
var x269 >= 0, <= 100000;
var x270 >= 0, <= 100000;
var x271 >= 0, <= 100000;
var x272 >= 0, <= 100000;
var x273 >= 0, <= 100000;
var x274 >= 0, <= 98;
var x275 >= 0, <= 100000;
var x276 >= 0, <= 100000;
var x277 >= 0, <= 100000;
var x278 >= 0, <= 100000;
var x279 >= 0, <= 100000;
var x280 >= 0, <= 100000;
var x281 >= 0, <= 100000;
var x282 >= 0, <= 100000;
var x283 >= 0, <= 100000;
var x284 >= 0, <= 100000;
var x285 >= 0, <= 100000;
var x286 >= 0, <= 100000;
var x287 >= 0, <= 115;
var x288 >= 0, <= 100000;
var x289 >= 0, <= 100000;
var x290 >= 0, <= 100000;
var x291 >= 0, <= 100000;
var x292 >= 0, <= 100000;
var x293 >= 0, <= 100000;
var x294 >= 0, <= 100000;
var x295 >= 0, <= 100000;
var x296 >= 0, <= 100000;
var x297 >= 0, <= 100000;
var x298 >= 0, <= 100000;
var x299 >= 0, <= 100000;
var x300 >= 0, <= 100000;
var x301 >= 0, <= 100000;
var x302 >= 0, <= 100000;
var x303 >= 0, <= 100000;
var x304 >= 0, <= 100000;
var x305 >= 0, <= 100000;
var x306 >= 0, <= 100000;
var x307 >= 0, <= 100000;
var x308 >= 0, <= 100000;
var x309 >= 0, <= 100000;
var x310 >= 0, <= 100000;
var x311 >= 0, <= 100000;
var x312 >= 0, <= 100000;
var x313 >= 0, <= 100000;
var x314 >= 0, <= 100000;
var x315 >= 0, <= 100000;
var x316 >= 0, <= 100000;
var x317 >= 0, <= 100000;
var x318 >= 0, <= 100000;
var x319 >= 0, <= 100000;
var x320 >= 0, <= 100000;
var x321 >= 0, <= 100000;
var x322 >= 0, <= 100000;
var x323 >= 0, <= 100000;
var x324 >= 0, <= 100000;
var x325 >= 0, <= 100000;
var x326 >= 0, <= 100000;
var x327 >= 0, <= 100000;
var x328 >= 0, <= 100000;
var x329 >= 0, <= 100000;
var x330 >= 0, <= 100000;
var x331 >= 0, <= 100000;
var x332 >= 0, <= 100000;
var x333 >= 0, <= 100000;
var x334 >= 0, <= 100000;
var x335 >= 0, <= 100000;

minimize obj:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
     + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25
     + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37
     + x38 + x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49;

subject to

e2:  - x2 - x14 - x26 - x38 + x170 - x171 - x172 - x173 - x174 - x175 - x176
     - x177 - x178 - x179 - x180 - x181 - x182 = 0;

e3:  - x3 - x15 - x27 - x39 + x183 - x184 - x185 - x186 - x187 - x188 - x189
     - x190 - x191 - x192 - x193 - x194 - x195 = 0;

e4:  - x4 - x16 - x28 - x40 + x196 - x197 - x198 - x199 - x200 - x201 - x202
     - x203 - x204 - x205 - x206 - x207 - x208 = 0;

e5:  - x5 - x17 - x29 - x41 + x209 - x210 - x211 - x212 - x213 - x214 - x215
     - x216 - x217 - x218 - x219 - x220 - x221 = 0;

e6:  - x6 - x18 - x30 - x42 + x222 - x223 - x224 - x225 - x226 - x227 - x228
     - x229 - x230 - x231 - x232 - x233 - x234 = 0;

e7:  - x7 - x19 - x31 - x43 + x235 - x236 - x237 - x238 - x239 - x240 - x241
     - x242 - x243 - x244 - x245 - x246 - x247 = 0;

e8:  - x8 - x20 - x32 - x44 + x248 - x249 - x250 - x251 - x252 - x253 - x254
     - x255 - x256 - x257 - x258 - x259 - x260 = 0;

e9:  - x9 - x21 - x33 - x45 + x261 - x262 - x263 - x264 - x265 - x266 - x267
     - x268 - x269 - x270 - x271 - x272 - x273 = 0;

e10:  - x10 - x22 - x34 - x46 + x274 - x275 - x276 - x277 - x278 - x279 - x280
      - x281 - x282 - x283 - x284 - x285 - x286 = 0;

e11:  - x11 - x23 - x35 - x47 + x287 - x288 - x289 - x290 - x291 - x292 - x293
      - x294 - x295 - x296 - x297 - x298 - x299 = 0;

e12:  - x12 - x24 - x36 - x48 - x300 - x301 - x302 - x303 - x304 - x305 - x306
      - x307 - x308 - x309 - x310 - x311 = -185;

e13:  - x13 - x25 - x37 - x49 - x312 - x313 - x314 - x315 - x316 - x317 - x318
      - x319 - x320 - x321 - x322 - x323 = -95;

e14:    x170 - x171 - x184 - x197 - x210 - x223 - x236 - x249 - x262 - x275
      - x288 - x300 - x312 - x324 = 0;

e15:  - x172 + x183 - x185 - x198 - x211 - x224 - x237 - x250 - x263 - x276
      - x289 - x301 - x313 - x325 = 0;

e16:  - x173 - x186 + x196 - x199 - x212 - x225 - x238 - x251 - x264 - x277
      - x290 - x302 - x314 - x326 = 0;

e17:  - x174 - x187 - x200 + x209 - x213 - x226 - x239 - x252 - x265 - x278
      - x291 - x303 - x315 - x327 = 0;

e18:  - x175 - x188 - x201 - x214 + x222 - x227 - x240 - x253 - x266 - x279
      - x292 - x304 - x316 - x328 = 0;

e19:  - x176 - x189 - x202 - x215 - x228 + x235 - x241 - x254 - x267 - x280
      - x293 - x305 - x317 - x329 = 0;

e20:  - x177 - x190 - x203 - x216 - x229 - x242 + x248 - x255 - x268 - x281
      - x294 - x306 - x318 - x330 = 0;

e21:  - x178 - x191 - x204 - x217 - x230 - x243 - x256 + x261 - x269 - x282
      - x295 - x307 - x319 - x331 = 0;

e22:  - x179 - x192 - x205 - x218 - x231 - x244 - x257 - x270 + x274 - x283
      - x296 - x308 - x320 - x332 = 0;

e23:  - x180 - x193 - x206 - x219 - x232 - x245 - x258 - x271 - x284 + x287
      - x297 - x309 - x321 - x333 = 0;

e24:  - x181 - x194 - x207 - x220 - x233 - x246 - x259 - x272 - x285 - x298
      - x310 - x322 - x334 = -185;

e25:  - x182 - x195 - x208 - x221 - x234 - x247 - x260 - x273 - x286 - x299
      - x311 - x323 - x335 = -95;

e26: x170*x50 - x171*x110 - x172*x116 - x173*x122 - x174*x128 - x175*x134 - 
     x176*x140 - x177*x146 - x178*x152 - x179*x158 - x180*x164 - 3*x2 - 4*x14
      - 4*x38 - 1000*x181 - 120*x182 = 0;

e27: x170*x51 - x171*x111 - x172*x117 - x173*x123 - x174*x129 - x175*x135 - 
     x176*x141 - x177*x147 - x178*x153 - x179*x159 - x180*x165 - 5*x2 - 6*x14
      - 3*x26 - x38 - 110*x181 - 150*x182 = 0;

e28: x170*x52 - x171*x112 - x172*x118 - x173*x124 - x174*x130 - x175*x136 - 
     x176*x142 - x177*x148 - x178*x154 - x179*x160 - x180*x166 - 2*x14 - 2*x26
      - 2*x38 - 360*x181 - 400*x182 = 0;

e29: x170*x53 - x171*x113 - x172*x119 - x173*x125 - x174*x131 - x175*x137 - 
     x176*x143 - x177*x149 - x178*x155 - x179*x161 - x180*x167 - 8*x2 - 7*x26
      - 3*x38 - 60*x181 - 115*x182 = 0;

e30: x170*x54 - x171*x114 - x172*x120 - x173*x126 - x174*x132 - x175*x138 - 
     x176*x144 - x177*x150 - x178*x156 - x179*x162 - x180*x168 - 2*x14 - 2*x38
      - 678*x181 - 170*x182 = 0;

e31: x170*x55 - x171*x115 - x172*x121 - x173*x127 - x174*x133 - x175*x139 - 
     x176*x145 - x177*x151 - x178*x157 - x179*x163 - x180*x169 - 4*x2 - 2*x26
      - 8*x38 - 50*x181 - 75*x182 = 0;

e32: x183*x56 - x184*x110 - x185*x116 - x186*x122 - x187*x128 - x188*x134 - 
     x189*x140 - x190*x146 - x191*x152 - x192*x158 - x193*x164 - 3*x3 - 4*x15
      - 4*x39 - 1000*x194 - 120*x195 = 0;

e33: x183*x57 - x184*x111 - x185*x117 - x186*x123 - x187*x129 - x188*x135 - 
     x189*x141 - x190*x147 - x191*x153 - x192*x159 - x193*x165 - 5*x3 - 6*x15
      - 3*x27 - x39 - 110*x194 - 150*x195 = 0;

e34: x183*x58 - x184*x112 - x185*x118 - x186*x124 - x187*x130 - x188*x136 - 
     x189*x142 - x190*x148 - x191*x154 - x192*x160 - x193*x166 - 2*x15 - 2*x27
      - 2*x39 - 360*x194 - 400*x195 = 0;

e35: x183*x59 - x184*x113 - x185*x119 - x186*x125 - x187*x131 - x188*x137 - 
     x189*x143 - x190*x149 - x191*x155 - x192*x161 - x193*x167 - 8*x3 - 7*x27
      - 3*x39 - 60*x194 - 115*x195 = 0;

e36: x183*x60 - x184*x114 - x185*x120 - x186*x126 - x187*x132 - x188*x138 - 
     x189*x144 - x190*x150 - x191*x156 - x192*x162 - x193*x168 - 2*x15 - 2*x39
      - 678*x194 - 170*x195 = 0;

e37: x183*x61 - x184*x115 - x185*x121 - x186*x127 - x187*x133 - x188*x139 - 
     x189*x145 - x190*x151 - x191*x157 - x192*x163 - x193*x169 - 4*x3 - 2*x27
      - 8*x39 - 50*x194 - 75*x195 = 0;

e38: x196*x62 - x197*x110 - x198*x116 - x199*x122 - x200*x128 - x201*x134 - 
     x202*x140 - x203*x146 - x204*x152 - x205*x158 - x206*x164 - 3*x4 - 4*x16
      - 4*x40 - 1000*x207 - 120*x208 = 0;

e39: x196*x63 - x197*x111 - x198*x117 - x199*x123 - x200*x129 - x201*x135 - 
     x202*x141 - x203*x147 - x204*x153 - x205*x159 - x206*x165 - 5*x4 - 6*x16
      - 3*x28 - x40 - 110*x207 - 150*x208 = 0;

e40: x196*x64 - x197*x112 - x198*x118 - x199*x124 - x200*x130 - x201*x136 - 
     x202*x142 - x203*x148 - x204*x154 - x205*x160 - x206*x166 - 2*x16 - 2*x28
      - 2*x40 - 360*x207 - 400*x208 = 0;

e41: x196*x65 - x197*x113 - x198*x119 - x199*x125 - x200*x131 - x201*x137 - 
     x202*x143 - x203*x149 - x204*x155 - x205*x161 - x206*x167 - 8*x4 - 7*x28
      - 3*x40 - 60*x207 - 115*x208 = 0;

e42: x196*x66 - x197*x114 - x198*x120 - x199*x126 - x200*x132 - x201*x138 - 
     x202*x144 - x203*x150 - x204*x156 - x205*x162 - x206*x168 - 2*x16 - 2*x40
      - 678*x207 - 170*x208 = 0;

e43: x196*x67 - x197*x115 - x198*x121 - x199*x127 - x200*x133 - x201*x139 - 
     x202*x145 - x203*x151 - x204*x157 - x205*x163 - x206*x169 - 4*x4 - 2*x28
      - 8*x40 - 50*x207 - 75*x208 = 0;

e44: x209*x68 - x210*x110 - x211*x116 - x212*x122 - x213*x128 - x214*x134 - 
     x215*x140 - x216*x146 - x217*x152 - x218*x158 - x219*x164 - 3*x5 - 4*x17
      - 4*x41 - 1000*x220 - 120*x221 = 0;

e45: x209*x69 - x210*x111 - x211*x117 - x212*x123 - x213*x129 - x214*x135 - 
     x215*x141 - x216*x147 - x217*x153 - x218*x159 - x219*x165 - 5*x5 - 6*x17
      - 3*x29 - x41 - 110*x220 - 150*x221 = 0;

e46: x209*x70 - x210*x112 - x211*x118 - x212*x124 - x213*x130 - x214*x136 - 
     x215*x142 - x216*x148 - x217*x154 - x218*x160 - x219*x166 - 2*x17 - 2*x29
      - 2*x41 - 360*x220 - 400*x221 = 0;

e47: x209*x71 - x210*x113 - x211*x119 - x212*x125 - x213*x131 - x214*x137 - 
     x215*x143 - x216*x149 - x217*x155 - x218*x161 - x219*x167 - 8*x5 - 7*x29
      - 3*x41 - 60*x220 - 115*x221 = 0;

e48: x209*x72 - x210*x114 - x211*x120 - x212*x126 - x213*x132 - x214*x138 - 
     x215*x144 - x216*x150 - x217*x156 - x218*x162 - x219*x168 - 2*x17 - 2*x41
      - 678*x220 - 170*x221 = 0;

e49: x209*x73 - x210*x115 - x211*x121 - x212*x127 - x213*x133 - x214*x139 - 
     x215*x145 - x216*x151 - x217*x157 - x218*x163 - x219*x169 - 4*x5 - 2*x29
      - 8*x41 - 50*x220 - 75*x221 = 0;

e50: x222*x74 - x223*x110 - x224*x116 - x225*x122 - x226*x128 - x227*x134 - 
     x228*x140 - x229*x146 - x230*x152 - x231*x158 - x232*x164 - 3*x6 - 4*x18
      - 4*x42 - 1000*x233 - 120*x234 = 0;

e51: x222*x75 - x223*x111 - x224*x117 - x225*x123 - x226*x129 - x227*x135 - 
     x228*x141 - x229*x147 - x230*x153 - x231*x159 - x232*x165 - 5*x6 - 6*x18
      - 3*x30 - x42 - 110*x233 - 150*x234 = 0;

e52: x222*x76 - x223*x112 - x224*x118 - x225*x124 - x226*x130 - x227*x136 - 
     x228*x142 - x229*x148 - x230*x154 - x231*x160 - x232*x166 - 2*x18 - 2*x30
      - 2*x42 - 360*x233 - 400*x234 = 0;

e53: x222*x77 - x223*x113 - x224*x119 - x225*x125 - x226*x131 - x227*x137 - 
     x228*x143 - x229*x149 - x230*x155 - x231*x161 - x232*x167 - 8*x6 - 7*x30
      - 3*x42 - 60*x233 - 115*x234 = 0;

e54: x222*x78 - x223*x114 - x224*x120 - x225*x126 - x226*x132 - x227*x138 - 
     x228*x144 - x229*x150 - x230*x156 - x231*x162 - x232*x168 - 2*x18 - 2*x42
      - 678*x233 - 170*x234 = 0;

e55: x222*x79 - x223*x115 - x224*x121 - x225*x127 - x226*x133 - x227*x139 - 
     x228*x145 - x229*x151 - x230*x157 - x231*x163 - x232*x169 - 4*x6 - 2*x30
      - 8*x42 - 50*x233 - 75*x234 = 0;

e56: x235*x80 - x236*x110 - x237*x116 - x238*x122 - x239*x128 - x240*x134 - 
     x241*x140 - x242*x146 - x243*x152 - x244*x158 - x245*x164 - 3*x7 - 4*x19
      - 4*x43 - 1000*x246 - 120*x247 = 0;

e57: x235*x81 - x236*x111 - x237*x117 - x238*x123 - x239*x129 - x240*x135 - 
     x241*x141 - x242*x147 - x243*x153 - x244*x159 - x245*x165 - 5*x7 - 6*x19
      - 3*x31 - x43 - 110*x246 - 150*x247 = 0;

e58: x235*x82 - x236*x112 - x237*x118 - x238*x124 - x239*x130 - x240*x136 - 
     x241*x142 - x242*x148 - x243*x154 - x244*x160 - x245*x166 - 2*x19 - 2*x31
      - 2*x43 - 360*x246 - 400*x247 = 0;

e59: x235*x83 - x236*x113 - x237*x119 - x238*x125 - x239*x131 - x240*x137 - 
     x241*x143 - x242*x149 - x243*x155 - x244*x161 - x245*x167 - 8*x7 - 7*x31
      - 3*x43 - 60*x246 - 115*x247 = 0;

e60: x235*x84 - x236*x114 - x237*x120 - x238*x126 - x239*x132 - x240*x138 - 
     x241*x144 - x242*x150 - x243*x156 - x244*x162 - x245*x168 - 2*x19 - 2*x43
      - 678*x246 - 170*x247 = 0;

e61: x235*x85 - x236*x115 - x237*x121 - x238*x127 - x239*x133 - x240*x139 - 
     x241*x145 - x242*x151 - x243*x157 - x244*x163 - x245*x169 - 4*x7 - 2*x31
      - 8*x43 - 50*x246 - 75*x247 = 0;

e62: x248*x86 - x249*x110 - x250*x116 - x251*x122 - x252*x128 - x253*x134 - 
     x254*x140 - x255*x146 - x256*x152 - x257*x158 - x258*x164 - 3*x8 - 4*x20
      - 4*x44 - 1000*x259 - 120*x260 = 0;

e63: x248*x87 - x249*x111 - x250*x117 - x251*x123 - x252*x129 - x253*x135 - 
     x254*x141 - x255*x147 - x256*x153 - x257*x159 - x258*x165 - 5*x8 - 6*x20
      - 3*x32 - x44 - 110*x259 - 150*x260 = 0;

e64: x248*x88 - x249*x112 - x250*x118 - x251*x124 - x252*x130 - x253*x136 - 
     x254*x142 - x255*x148 - x256*x154 - x257*x160 - x258*x166 - 2*x20 - 2*x32
      - 2*x44 - 360*x259 - 400*x260 = 0;

e65: x248*x89 - x249*x113 - x250*x119 - x251*x125 - x252*x131 - x253*x137 - 
     x254*x143 - x255*x149 - x256*x155 - x257*x161 - x258*x167 - 8*x8 - 7*x32
      - 3*x44 - 60*x259 - 115*x260 = 0;

e66: x248*x90 - x249*x114 - x250*x120 - x251*x126 - x252*x132 - x253*x138 - 
     x254*x144 - x255*x150 - x256*x156 - x257*x162 - x258*x168 - 2*x20 - 2*x44
      - 678*x259 - 170*x260 = 0;

e67: x248*x91 - x249*x115 - x250*x121 - x251*x127 - x252*x133 - x253*x139 - 
     x254*x145 - x255*x151 - x256*x157 - x257*x163 - x258*x169 - 4*x8 - 2*x32
      - 8*x44 - 50*x259 - 75*x260 = 0;

e68: x261*x92 - x262*x110 - x263*x116 - x264*x122 - x265*x128 - x266*x134 - 
     x267*x140 - x268*x146 - x269*x152 - x270*x158 - x271*x164 - 3*x9 - 4*x21
      - 4*x45 - 1000*x272 - 120*x273 = 0;

e69: x261*x93 - x262*x111 - x263*x117 - x264*x123 - x265*x129 - x266*x135 - 
     x267*x141 - x268*x147 - x269*x153 - x270*x159 - x271*x165 - 5*x9 - 6*x21
      - 3*x33 - x45 - 110*x272 - 150*x273 = 0;

e70: x261*x94 - x262*x112 - x263*x118 - x264*x124 - x265*x130 - x266*x136 - 
     x267*x142 - x268*x148 - x269*x154 - x270*x160 - x271*x166 - 2*x21 - 2*x33
      - 2*x45 - 360*x272 - 400*x273 = 0;

e71: x261*x95 - x262*x113 - x263*x119 - x264*x125 - x265*x131 - x266*x137 - 
     x267*x143 - x268*x149 - x269*x155 - x270*x161 - x271*x167 - 8*x9 - 7*x33
      - 3*x45 - 60*x272 - 115*x273 = 0;

e72: x261*x96 - x262*x114 - x263*x120 - x264*x126 - x265*x132 - x266*x138 - 
     x267*x144 - x268*x150 - x269*x156 - x270*x162 - x271*x168 - 2*x21 - 2*x45
      - 678*x272 - 170*x273 = 0;

e73: x261*x97 - x262*x115 - x263*x121 - x264*x127 - x265*x133 - x266*x139 - 
     x267*x145 - x268*x151 - x269*x157 - x270*x163 - x271*x169 - 4*x9 - 2*x33
      - 8*x45 - 50*x272 - 75*x273 = 0;

e74: x274*x98 - x275*x110 - x276*x116 - x277*x122 - x278*x128 - x279*x134 - 
     x280*x140 - x281*x146 - x282*x152 - x283*x158 - x284*x164 - 3*x10 - 4*x22
      - 4*x46 - 1000*x285 - 120*x286 = 0;

e75: x274*x99 - x275*x111 - x276*x117 - x277*x123 - x278*x129 - x279*x135 - 
     x280*x141 - x281*x147 - x282*x153 - x283*x159 - x284*x165 - 5*x10 - 6*x22
      - 3*x34 - x46 - 110*x285 - 150*x286 = 0;

e76: x274*x100 - x275*x112 - x276*x118 - x277*x124 - x278*x130 - x279*x136 - 
     x280*x142 - x281*x148 - x282*x154 - x283*x160 - x284*x166 - 2*x22 - 2*x34
      - 2*x46 - 360*x285 - 400*x286 = 0;

e77: x274*x101 - x275*x113 - x276*x119 - x277*x125 - x278*x131 - x279*x137 - 
     x280*x143 - x281*x149 - x282*x155 - x283*x161 - x284*x167 - 8*x10 - 7*x34
      - 3*x46 - 60*x285 - 115*x286 = 0;

e78: x274*x102 - x275*x114 - x276*x120 - x277*x126 - x278*x132 - x279*x138 - 
     x280*x144 - x281*x150 - x282*x156 - x283*x162 - x284*x168 - 2*x22 - 2*x46
      - 678*x285 - 170*x286 = 0;

e79: x274*x103 - x275*x115 - x276*x121 - x277*x127 - x278*x133 - x279*x139 - 
     x280*x145 - x281*x151 - x282*x157 - x283*x163 - x284*x169 - 4*x10 - 2*x34
      - 8*x46 - 50*x285 - 75*x286 = 0;

e80: x287*x104 - x288*x110 - x289*x116 - x290*x122 - x291*x128 - x292*x134 - 
     x293*x140 - x294*x146 - x295*x152 - x296*x158 - x297*x164 - 3*x11 - 4*x23
      - 4*x47 - 1000*x298 - 120*x299 = 0;

e81: x287*x105 - x288*x111 - x289*x117 - x290*x123 - x291*x129 - x292*x135 - 
     x293*x141 - x294*x147 - x295*x153 - x296*x159 - x297*x165 - 5*x11 - 6*x23
      - 3*x35 - x47 - 110*x298 - 150*x299 = 0;

e82: x287*x106 - x288*x112 - x289*x118 - x290*x124 - x291*x130 - x292*x136 - 
     x293*x142 - x294*x148 - x295*x154 - x296*x160 - x297*x166 - 2*x23 - 2*x35
      - 2*x47 - 360*x298 - 400*x299 = 0;

e83: x287*x107 - x288*x113 - x289*x119 - x290*x125 - x291*x131 - x292*x137 - 
     x293*x143 - x294*x149 - x295*x155 - x296*x161 - x297*x167 - 8*x11 - 7*x35
      - 3*x47 - 60*x298 - 115*x299 = 0;

e84: x287*x108 - x288*x114 - x289*x120 - x290*x126 - x291*x132 - x292*x138 - 
     x293*x144 - x294*x150 - x295*x156 - x296*x162 - x297*x168 - 2*x23 - 2*x47
      - 678*x298 - 170*x299 = 0;

e85: x287*x109 - x288*x115 - x289*x121 - x290*x127 - x291*x133 - x292*x139 - 
     x293*x145 - x294*x151 - x295*x157 - x296*x163 - x297*x169 - 4*x11 - 2*x35
      - 8*x47 - 50*x298 - 75*x299 = 0;

e86: (-x300*x110) - x301*x116 - x302*x122 - x303*x128 - x304*x134 - x305*x140
      - x306*x146 - x307*x152 - x308*x158 - x309*x164 - 3*x12 - 4*x24 - 4*x48
      - 1000*x310 - 120*x311 >= -64750;

e87: (-x300*x111) - x301*x117 - x302*x123 - x303*x129 - x304*x135 - x305*x141
      - x306*x147 - x307*x153 - x308*x159 - x309*x165 - 5*x12 - 6*x24 - 3*x36
      - x48 - 110*x310 - 150*x311 >= -8880;

e88: (-x300*x112) - x301*x118 - x302*x124 - x303*x130 - x304*x136 - x305*x142
      - x306*x148 - x307*x154 - x308*x160 - x309*x166 - 2*x24 - 2*x36 - 2*x48
      - 360*x310 - 400*x311 >= -48100;

e89: (-x300*x113) - x301*x119 - x302*x125 - x303*x131 - x304*x137 - x305*x143
      - x306*x149 - x307*x155 - x308*x161 - x309*x167 - 8*x12 - 7*x36 - 3*x48
      - 60*x310 - 115*x311 >= -3885;

e90: (-x300*x114) - x301*x120 - x302*x126 - x303*x132 - x304*x138 - x305*x144
      - x306*x150 - x307*x156 - x308*x162 - x309*x168 - 2*x24 - 2*x48
      - 678*x310 - 170*x311 >= -51430;

e91: (-x300*x115) - x301*x121 - x302*x127 - x303*x133 - x304*x139 - x305*x145
      - x306*x151 - x307*x157 - x308*x163 - x309*x169 - 4*x12 - 2*x36 - 8*x48
      - 50*x310 - 75*x311 >= -2220;

e92: (-x312*x110) - x313*x116 - x314*x122 - x315*x128 - x316*x134 - x317*x140
      - x318*x146 - x319*x152 - x320*x158 - x321*x164 - 3*x13 - 4*x25 - 4*x49
      - 1000*x322 - 120*x323 >= -1900;

e93: (-x312*x111) - x313*x117 - x314*x123 - x315*x129 - x316*x135 - x317*x141
      - x318*x147 - x319*x153 - x320*x159 - x321*x165 - 5*x13 - 6*x25 - 3*x37
      - x49 - 110*x322 - 150*x323 >= -4750;

e94: (-x312*x112) - x313*x118 - x314*x124 - x315*x130 - x316*x136 - x317*x142
      - x318*x148 - x319*x154 - x320*x160 - x321*x166 - 2*x25 - 2*x37 - 2*x49
      - 360*x322 - 400*x323 >= -9500;

e95: (-x312*x113) - x313*x119 - x314*x125 - x315*x131 - x316*x137 - x317*x143
      - x318*x149 - x319*x155 - x320*x161 - x321*x167 - 8*x13 - 7*x37 - 3*x49
      - 60*x322 - 115*x323 >= -2850;

e96: (-x312*x114) - x313*x120 - x314*x126 - x315*x132 - x316*x138 - x317*x144
      - x318*x150 - x319*x156 - x320*x162 - x321*x168 - 2*x25 - 2*x49
      - 678*x322 - 170*x323 >= -6650;

e97: (-x312*x115) - x313*x121 - x314*x127 - x315*x133 - x316*x139 - x317*x145
      - x318*x151 - x319*x157 - x320*x163 - x321*x169 - 4*x13 - 2*x37 - 8*x49
      - 50*x322 - 75*x323 >= -1900;

e98: x170*x50 - x170*x110 = -3196;

e99: x170*x51 - x170*x111 = -11832;

e100: x170*x52 - x170*x112 = -8364;

e101: x170*x53 - x170*x113 = -136;

e102: x170*x54 - x170*x114 = -5712;

e103: x170*x55 - x170*x115 = -3400;

e104: x183*x56 - x183*x116 = -9250;

e105: x183*x57 - x183*x117 = -7030;

e106: x183*x58 - x183*x118 = -4070;

e107: x183*x59 - x183*x119 = -184556;

e108: x183*x60 - x183*x120 = -1924;

e109: x183*x61 - x183*x121 = -7252;

e110: x196*x62 - x196*x122 = -10080;

e111: x196*x63 - x196*x123 = -4914;

e112: x196*x64 - x196*x124 = -46242;

e113: x196*x65 - x196*x125 = -5418;

e114: x196*x66 - x196*x126 = -16506;

e115: x196*x67 - x196*x127 = -4284;

e116: x209*x68 - x209*x128 = -2376;

e117: x209*x69 - x209*x129 = -30096;

e118: x209*x70 - x209*x130 = -26840;

e119: x209*x71 - x209*x131 = -35904;

e120: x209*x72 - x209*x132 = -11880;

e121: x209*x73 - x209*x133 = -18568;

e122: x222*x74 - x222*x134 = -50000;

e123: x222*x75 - x222*x135 = -351200;

e124: x222*x76 - x222*x136 = -14000;

e125: x222*x77 - x222*x137 = -3500;

e126: x222*x78 - x222*x138 = -15800;

e127: x222*x79 - x222*x139 = -7800;

e128: x235*x80 - x235*x140 = -4400;

e129: x235*x81 - x235*x141 = -5500;

e130: x235*x82 - x235*x142 = -8250;

e131: x235*x83 - x235*x143 = -3300;

e132: x235*x84 - x235*x144 = -4400;

e133: x235*x85 - x235*x145 = -3300;

e134: x248*x86 - x248*x146 = -2300;

e135: x248*x87 - x248*x147 = -3800;

e136: x248*x88 - x248*x148 = -4100;

e137: x248*x90 - x248*x150 = -20000;

e138: x248*x91 - x248*x151 = -12600;

e139: x261*x92 - x261*x152 = -1300;

e140: x261*x93 - x261*x153 = -2600;

e141: x261*x94 - x261*x154 = -1820;

e142: x261*x95 - x261*x155 = -260000;

e143: x261*x96 - x261*x156 = -2600;

e144: x261*x97 - x261*x157 = -8944;

e145: x274*x98 - x274*x158 = -19600;

e146: x274*x99 - x274*x159 = -29400;

e147: x274*x100 - x274*x160 = -19600;

e148: x274*x101 - x274*x161 = -2646;

e149: x274*x102 - x274*x162 = -12740;

e150: x274*x103 - x274*x163 = -66248;

e151: x287*x104 - x287*x164 = -34500;

e152: x287*x105 - x287*x165 = -4025;

e153: x287*x106 - x287*x166 = -9775;

e154: x287*x107 - x287*x167 = -3450;

e155: x287*x108 - x287*x168 = -62790;

e156: x287*x109 - x287*x169 = -62560;

e157: x248*x89 - x248*x149 = 0;
