c Max flow problem for tiling p min 393 782 c source node n 0 390 c sink node n 392 -390 c source to target arcs a 0 1 0 1 0 a 0 2 0 1 0 a 0 3 0 1 0 a 0 4 0 1 0 a 0 5 0 1 0 a 0 6 0 1 0 a 0 7 0 1 0 a 0 8 0 1 0 a 0 9 0 1 0 a 0 10 0 1 0 a 0 11 0 1 0 a 0 12 0 1 0 a 0 13 0 1 0 a 0 14 0 1 0 a 0 15 0 1 0 a 0 16 0 1 0 a 0 17 0 1 0 a 0 18 0 1 0 a 0 19 0 1 0 a 0 20 0 1 0 a 0 21 0 1 0 a 0 22 0 1 0 a 0 23 0 1 0 a 0 24 0 1 0 a 0 25 0 1 0 a 0 26 0 1 0 a 0 27 0 1 0 a 0 28 0 1 0 a 0 29 0 1 0 a 0 30 0 1 0 a 0 31 0 1 0 a 0 32 0 1 0 a 0 33 0 1 0 a 0 34 0 1 0 a 0 35 0 1 0 a 0 36 0 1 0 a 0 37 0 1 0 a 0 38 0 1 0 a 0 39 0 1 0 a 0 40 0 1 0 a 0 41 0 1 0 a 0 42 0 1 0 a 0 43 0 1 0 a 0 44 0 1 0 a 0 45 0 1 0 a 0 46 0 1 0 a 0 47 0 1 0 a 0 48 0 1 0 a 0 49 0 1 0 a 0 50 0 1 0 a 0 51 0 1 0 a 0 52 0 1 0 a 0 53 0 1 0 a 0 54 0 1 0 a 0 55 0 1 0 a 0 56 0 1 0 a 0 57 0 1 0 a 0 58 0 1 0 a 0 59 0 1 0 a 0 60 0 1 0 a 0 61 0 1 0 a 0 62 0 1 0 a 0 63 0 1 0 a 0 64 0 1 0 a 0 65 0 1 0 a 0 66 0 1 0 a 0 67 0 1 0 a 0 68 0 1 0 a 0 69 0 1 0 a 0 70 0 1 0 a 0 71 0 1 0 a 0 72 0 1 0 a 0 73 0 1 0 a 0 74 0 1 0 a 0 75 0 1 0 a 0 76 0 1 0 a 0 77 0 1 0 a 0 78 0 1 0 a 0 79 0 1 0 a 0 80 0 1 0 a 0 81 0 1 0 a 0 82 0 1 0 a 0 83 0 1 0 a 0 84 0 1 0 a 0 85 0 1 0 a 0 86 0 1 0 a 0 87 0 1 0 a 0 88 0 1 0 a 0 89 0 1 0 a 0 90 0 1 0 a 0 91 0 1 0 a 0 92 0 1 0 a 0 93 0 1 0 a 0 94 0 1 0 a 0 95 0 1 0 a 0 96 0 1 0 a 0 97 0 1 0 a 0 98 0 1 0 a 0 99 0 1 0 a 0 100 0 1 0 a 0 101 0 1 0 a 0 102 0 1 0 a 0 103 0 1 0 a 0 104 0 1 0 a 0 105 0 1 0 a 0 106 0 1 0 a 0 107 0 1 0 a 0 108 0 1 0 a 0 109 0 1 0 a 0 110 0 1 0 a 0 111 0 1 0 a 0 112 0 1 0 a 0 113 0 1 0 a 0 114 0 1 0 a 0 115 0 1 0 a 0 116 0 1 0 a 0 117 0 1 0 a 0 118 0 1 0 a 0 119 0 1 0 a 0 120 0 1 0 a 0 121 0 1 0 a 0 122 0 1 0 a 0 123 0 1 0 a 0 124 0 1 0 a 0 125 0 1 0 a 0 126 0 1 0 a 0 127 0 1 0 a 0 128 0 1 0 a 0 129 0 1 0 a 0 130 0 1 0 a 0 131 0 1 0 a 0 132 0 1 0 a 0 133 0 1 0 a 0 134 0 1 0 a 0 135 0 1 0 a 0 136 0 1 0 a 0 137 0 1 0 a 0 138 0 1 0 a 0 139 0 1 0 a 0 140 0 1 0 a 0 141 0 1 0 a 0 142 0 1 0 a 0 143 0 1 0 a 0 144 0 1 0 a 0 145 0 1 0 a 0 146 0 1 0 a 0 147 0 1 0 a 0 148 0 1 0 a 0 149 0 1 0 a 0 150 0 1 0 a 0 151 0 1 0 a 0 152 0 1 0 a 0 153 0 1 0 a 0 154 0 1 0 a 0 155 0 1 0 a 0 156 0 1 0 a 0 157 0 1 0 a 0 158 0 1 0 a 0 159 0 1 0 a 0 160 0 1 0 a 0 161 0 1 0 a 0 162 0 1 0 a 0 163 0 1 0 a 0 164 0 1 0 a 0 165 0 1 0 a 0 166 0 1 0 a 0 167 0 1 0 a 0 168 0 1 0 a 0 169 0 1 0 a 0 170 0 1 0 a 0 171 0 1 0 a 0 172 0 1 0 a 0 173 0 1 0 a 0 174 0 1 0 a 0 175 0 1 0 a 0 176 0 1 0 a 0 177 0 1 0 a 0 178 0 1 0 a 0 179 0 1 0 a 0 180 0 1 0 a 0 181 0 1 0 a 0 182 0 1 0 a 0 183 0 1 0 a 0 184 0 1 0 a 0 185 0 1 0 a 0 186 0 1 0 a 0 187 0 1 0 a 0 188 0 1 0 a 0 189 0 1 0 a 0 190 0 1 0 a 0 191 0 1 0 a 0 192 0 1 0 a 0 193 0 1 0 a 0 194 0 1 0 a 0 195 0 1 0 a 0 196 0 1 0 a 0 197 0 1 0 a 0 198 0 1 0 a 0 199 0 1 0 a 0 200 0 1 0 a 0 201 0 1 0 a 0 202 0 1 0 a 0 203 0 1 0 a 0 204 0 1 0 a 0 205 0 1 0 a 0 206 0 1 0 a 0 207 0 1 0 a 0 208 0 1 0 a 0 209 0 1 0 a 0 210 0 1 0 a 0 211 0 1 0 a 0 212 0 1 0 a 0 213 0 1 0 a 0 214 0 1 0 a 0 215 0 1 0 a 0 216 0 1 0 a 0 217 0 1 0 a 0 218 0 1 0 a 0 219 0 1 0 a 0 220 0 1 0 a 0 221 0 1 0 a 0 222 0 1 0 a 0 223 0 1 0 a 0 224 0 1 0 a 0 225 0 1 0 a 0 226 0 1 0 a 0 227 0 1 0 a 0 228 0 1 0 a 0 229 0 1 0 a 0 230 0 1 0 a 0 231 0 1 0 a 0 232 0 1 0 a 0 233 0 1 0 a 0 234 0 1 0 a 0 235 0 1 0 a 0 236 0 1 0 a 0 237 0 1 0 a 0 238 0 1 0 a 0 239 0 1 0 a 0 240 0 1 0 a 0 241 0 1 0 a 0 242 0 1 0 a 0 243 0 1 0 a 0 244 0 1 0 a 0 245 0 1 0 a 0 246 0 1 0 a 0 247 0 1 0 a 0 248 0 1 0 a 0 249 0 1 0 a 0 250 0 1 0 a 0 251 0 1 0 a 0 252 0 1 0 a 0 253 0 1 0 a 0 254 0 1 0 a 0 255 0 1 0 a 0 256 0 1 0 a 0 257 0 1 0 a 0 258 0 1 0 a 0 259 0 1 0 a 0 260 0 1 0 a 0 261 0 1 0 a 0 262 0 1 0 a 0 263 0 1 0 a 0 264 0 1 0 a 0 265 0 1 0 a 0 266 0 1 0 a 0 267 0 1 0 a 0 268 0 1 0 a 0 269 0 1 0 a 0 270 0 1 0 a 0 271 0 1 0 a 0 272 0 1 0 a 0 273 0 1 0 a 0 274 0 1 0 a 0 275 0 1 0 a 0 276 0 1 0 a 0 277 0 1 0 a 0 278 0 1 0 a 0 279 0 1 0 a 0 280 0 1 0 a 0 281 0 1 0 a 0 282 0 1 0 a 0 283 0 1 0 a 0 284 0 1 0 a 0 285 0 1 0 a 0 286 0 1 0 a 0 287 0 1 0 a 0 288 0 1 0 a 0 289 0 1 0 a 0 290 0 1 0 a 0 291 0 1 0 a 0 292 0 1 0 a 0 293 0 1 0 a 0 294 0 1 0 a 0 295 0 1 0 a 0 296 0 1 0 a 0 297 0 1 0 a 0 298 0 1 0 a 0 299 0 1 0 a 0 300 0 1 0 a 0 301 0 1 0 a 0 302 0 1 0 a 0 303 0 1 0 a 0 304 0 1 0 a 0 305 0 1 0 a 0 306 0 1 0 a 0 307 0 1 0 a 0 308 0 1 0 a 0 309 0 1 0 a 0 310 0 1 0 a 0 311 0 1 0 a 0 312 0 1 0 a 0 313 0 1 0 a 0 314 0 1 0 a 0 315 0 1 0 a 0 316 0 1 0 a 0 317 0 1 0 a 0 318 0 1 0 a 0 319 0 1 0 a 0 320 0 1 0 a 0 321 0 1 0 a 0 322 0 1 0 a 0 323 0 1 0 a 0 324 0 1 0 a 0 325 0 1 0 a 0 326 0 1 0 a 0 327 0 1 0 a 0 328 0 1 0 a 0 329 0 1 0 a 0 330 0 1 0 a 0 331 0 1 0 a 0 332 0 1 0 a 0 333 0 1 0 a 0 334 0 1 0 a 0 335 0 1 0 a 0 336 0 1 0 a 0 337 0 1 0 a 0 338 0 1 0 a 0 339 0 1 0 a 0 340 0 1 0 a 0 341 0 1 0 a 0 342 0 1 0 a 0 343 0 1 0 a 0 344 0 1 0 a 0 345 0 1 0 a 0 346 0 1 0 a 0 347 0 1 0 a 0 348 0 1 0 a 0 349 0 1 0 a 0 350 0 1 0 a 0 351 0 1 0 a 0 352 0 1 0 a 0 353 0 1 0 a 0 354 0 1 0 a 0 355 0 1 0 a 0 356 0 1 0 a 0 357 0 1 0 a 0 358 0 1 0 a 0 359 0 1 0 a 0 360 0 1 0 a 0 361 0 1 0 a 0 362 0 1 0 a 0 363 0 1 0 a 0 364 0 1 0 a 0 365 0 1 0 a 0 366 0 1 0 a 0 367 0 1 0 a 0 368 0 1 0 a 0 369 0 1 0 a 0 370 0 1 0 a 0 371 0 1 0 a 0 372 0 1 0 a 0 373 0 1 0 a 0 374 0 1 0 a 0 375 0 1 0 a 0 376 0 1 0 a 0 377 0 1 0 a 0 378 0 1 0 a 0 379 0 1 0 a 0 380 0 1 0 a 0 381 0 1 0 a 0 382 0 1 0 a 0 383 0 1 0 a 0 384 0 1 0 a 0 385 0 1 0 a 0 386 0 1 0 a 0 387 0 1 0 a 0 388 0 1 0 a 0 389 0 1 0 a 0 390 0 1 0 c target to tile arcs a 1 391 0 1 1 a 2 391 0 1 1 a 3 391 0 1 1 a 4 391 0 1 1 a 5 391 0 1 1 a 6 391 0 1 1 a 7 391 0 1 1 a 8 391 0 1 1 a 9 391 0 1 1 a 10 391 0 1 1 a 11 391 0 1 1 a 12 391 0 1 1 a 13 391 0 1 1 a 14 391 0 1 1 a 15 391 0 1 1 a 16 391 0 1 1 a 17 391 0 1 1 a 18 391 0 1 1 a 19 391 0 1 1 a 20 391 0 1 1 a 21 391 0 1 1 a 22 391 0 1 1 a 23 391 0 1 1 a 24 391 0 1 1 a 25 391 0 1 1 a 26 391 0 1 1 a 27 391 0 1 1 a 28 391 0 1 1 a 29 391 0 1 1 a 30 391 0 1 1 a 31 391 0 1 1 a 32 391 0 1 1 a 33 391 0 1 1 a 34 391 0 1 1 a 35 391 0 1 1 a 36 391 0 1 1 a 37 391 0 1 1 a 38 391 0 1 1 a 39 391 0 1 1 a 40 391 0 1 1 a 41 391 0 1 1 a 42 391 0 1 1 a 43 391 0 1 1 a 44 391 0 1 1 a 45 391 0 1 1 a 46 391 0 1 1 a 47 391 0 1 1 a 48 391 0 1 1 a 49 391 0 1 1 a 50 391 0 1 1 a 51 391 0 1 1 a 52 391 0 1 1 a 53 391 0 1 1 a 54 391 0 1 1 a 55 391 0 1 1 a 56 391 0 1 1 a 57 391 0 1 1 a 58 391 0 1 0 a 59 391 0 1 1 a 60 391 0 1 1 a 61 391 0 1 1 a 62 391 0 1 1 a 63 391 0 1 1 a 64 391 0 1 1 a 65 391 0 1 1 a 66 391 0 1 1 a 67 391 0 1 1 a 68 391 0 1 1 a 69 391 0 1 1 a 70 391 0 1 1 a 71 391 0 1 1 a 72 391 0 1 1 a 73 391 0 1 1 a 74 391 0 1 1 a 75 391 0 1 1 a 76 391 0 1 1 a 77 391 0 1 1 a 78 391 0 1 1 a 79 391 0 1 1 a 80 391 0 1 1 a 81 391 0 1 1 a 82 391 0 1 1 a 83 391 0 1 1 a 84 391 0 1 1 a 85 391 0 1 1 a 86 391 0 1 1 a 87 391 0 1 1 a 88 391 0 1 1 a 89 391 0 1 1 a 90 391 0 1 1 a 91 391 0 1 1 a 92 391 0 1 1 a 93 391 0 1 1 a 94 391 0 1 1 a 95 391 0 1 1 a 96 391 0 1 1 a 97 391 0 1 1 a 98 391 0 1 1 a 99 391 0 1 1 a 100 391 0 1 1 a 101 391 0 1 1 a 102 391 0 1 1 a 103 391 0 1 1 a 104 391 0 1 1 a 105 391 0 1 1 a 106 391 0 1 1 a 107 391 0 1 1 a 108 391 0 1 1 a 109 391 0 1 1 a 110 391 0 1 1 a 111 391 0 1 1 a 112 391 0 1 1 a 113 391 0 1 1 a 114 391 0 1 1 a 115 391 0 1 1 a 116 391 0 1 1 a 117 391 0 1 1 a 118 391 0 1 1 a 119 391 0 1 1 a 120 391 0 1 1 a 121 391 0 1 1 a 122 391 0 1 1 a 123 391 0 1 1 a 124 391 0 1 1 a 125 391 0 1 1 a 126 391 0 1 1 a 127 391 0 1 1 a 128 391 0 1 1 a 129 391 0 1 1 a 130 391 0 1 1 a 131 391 0 1 1 a 132 391 0 1 1 a 133 391 0 1 1 a 134 391 0 1 1 a 135 391 0 1 1 a 136 391 0 1 1 a 137 391 0 1 1 a 138 391 0 1 1 a 139 391 0 1 1 a 140 391 0 1 1 a 141 391 0 1 1 a 142 391 0 1 1 a 143 391 0 1 1 a 144 391 0 1 1 a 145 391 0 1 1 a 146 391 0 1 1 a 147 391 0 1 1 a 148 391 0 1 1 a 149 391 0 1 1 a 150 391 0 1 1 a 151 391 0 1 1 a 152 391 0 1 1 a 153 391 0 1 1 a 154 391 0 1 1 a 155 391 0 1 1 a 156 391 0 1 1 a 157 391 0 1 1 a 158 391 0 1 1 a 159 391 0 1 1 a 160 391 0 1 1 a 161 391 0 1 1 a 162 391 0 1 1 a 163 391 0 1 1 a 164 391 0 1 1 a 165 391 0 1 1 a 166 391 0 1 1 a 167 391 0 1 1 a 168 391 0 1 1 a 169 391 0 1 1 a 170 391 0 1 1 a 171 391 0 1 1 a 172 391 0 1 1 a 173 391 0 1 1 a 174 391 0 1 1 a 175 391 0 1 1 a 176 391 0 1 1 a 177 391 0 1 1 a 178 391 0 1 1 a 179 391 0 1 1 a 180 391 0 1 1 a 181 391 0 1 1 a 182 391 0 1 1 a 183 391 0 1 1 a 184 391 0 1 1 a 185 391 0 1 1 a 186 391 0 1 1 a 187 391 0 1 1 a 188 391 0 1 1 a 189 391 0 1 1 a 190 391 0 1 1 a 191 391 0 1 1 a 192 391 0 1 1 a 193 391 0 1 1 a 194 391 0 1 1 a 195 391 0 1 1 a 196 391 0 1 1 a 197 391 0 1 1 a 198 391 0 1 1 a 199 391 0 1 1 a 200 391 0 1 1 a 201 391 0 1 1 a 202 391 0 1 1 a 203 391 0 1 1 a 204 391 0 1 1 a 205 391 0 1 1 a 206 391 0 1 1 a 207 391 0 1 1 a 208 391 0 1 1 a 209 391 0 1 1 a 210 391 0 1 1 a 211 391 0 1 1 a 212 391 0 1 1 a 213 391 0 1 1 a 214 391 0 1 1 a 215 391 0 1 1 a 216 391 0 1 1 a 217 391 0 1 1 a 218 391 0 1 1 a 219 391 0 1 1 a 220 391 0 1 1 a 221 391 0 1 1 a 222 391 0 1 1 a 223 391 0 1 1 a 224 391 0 1 1 a 225 391 0 1 1 a 226 391 0 1 1 a 227 391 0 1 1 a 228 391 0 1 1 a 229 391 0 1 1 a 230 391 0 1 1 a 231 391 0 1 1 a 232 391 0 1 1 a 233 391 0 1 1 a 234 391 0 1 1 a 235 391 0 1 1 a 236 391 0 1 1 a 237 391 0 1 1 a 238 391 0 1 1 a 239 391 0 1 1 a 240 391 0 1 1 a 241 391 0 1 1 a 242 391 0 1 1 a 243 391 0 1 1 a 244 391 0 1 1 a 245 391 0 1 1 a 246 391 0 1 1 a 247 391 0 1 1 a 248 391 0 1 1 a 249 391 0 1 1 a 250 391 0 1 1 a 251 391 0 1 1 a 252 391 0 1 1 a 253 391 0 1 1 a 254 391 0 1 1 a 255 391 0 1 1 a 256 391 0 1 1 a 257 391 0 1 1 a 258 391 0 1 1 a 259 391 0 1 1 a 260 391 0 1 1 a 261 391 0 1 1 a 262 391 0 1 1 a 263 391 0 1 1 a 264 391 0 1 1 a 265 391 0 1 1 a 266 391 0 1 1 a 267 391 0 1 1 a 268 391 0 1 1 a 269 391 0 1 1 a 270 391 0 1 1 a 271 391 0 1 1 a 272 391 0 1 1 a 273 391 0 1 1 a 274 391 0 1 1 a 275 391 0 1 1 a 276 391 0 1 1 a 277 391 0 1 1 a 278 391 0 1 1 a 279 391 0 1 1 a 280 391 0 1 1 a 281 391 0 1 1 a 282 391 0 1 1 a 283 391 0 1 1 a 284 391 0 1 1 a 285 391 0 1 1 a 286 391 0 1 1 a 287 391 0 1 1 a 288 391 0 1 1 a 289 391 0 1 1 a 290 391 0 1 1 a 291 391 0 1 1 a 292 391 0 1 1 a 293 391 0 1 1 a 294 391 0 1 1 a 295 391 0 1 1 a 296 391 0 1 1 a 297 391 0 1 1 a 298 391 0 1 1 a 299 391 0 1 1 a 300 391 0 1 1 a 301 391 0 1 1 a 302 391 0 1 1 a 303 391 0 1 1 a 304 391 0 1 1 a 305 391 0 1 1 a 306 391 0 1 1 a 307 391 0 1 1 a 308 391 0 1 1 a 309 391 0 1 1 a 310 391 0 1 1 a 311 391 0 1 1 a 312 391 0 1 1 a 313 391 0 1 1 a 314 391 0 1 1 a 315 391 0 1 1 a 316 391 0 1 1 a 317 391 0 1 1 a 318 391 0 1 1 a 319 391 0 1 1 a 320 391 0 1 1 a 321 391 0 1 1 a 322 391 0 1 1 a 323 391 0 1 1 a 324 391 0 1 1 a 325 391 0 1 1 a 326 391 0 1 1 a 327 391 0 1 1 a 328 391 0 1 1 a 329 391 0 1 1 a 330 391 0 1 1 a 331 391 0 1 1 a 332 391 0 1 1 a 333 391 0 1 1 a 334 391 0 1 1 a 335 391 0 1 1 a 336 391 0 1 1 a 337 391 0 1 1 a 338 391 0 1 1 a 339 391 0 1 1 a 340 391 0 1 1 a 341 391 0 1 1 a 342 391 0 1 1 a 343 391 0 1 1 a 344 391 0 1 1 a 345 391 0 1 1 a 346 391 0 1 1 a 347 391 0 1 1 a 348 391 0 1 1 a 349 391 0 1 1 a 350 391 0 1 1 a 351 391 0 1 1 a 352 391 0 1 1 a 353 391 0 1 1 a 354 391 0 1 1 a 355 391 0 1 1 a 356 391 0 1 1 a 357 391 0 1 1 a 358 391 0 1 1 a 359 391 0 1 1 a 360 391 0 1 1 a 361 391 0 1 1 a 362 391 0 1 1 a 363 391 0 1 1 a 364 391 0 1 1 a 365 391 0 1 1 a 366 391 0 1 1 a 367 391 0 1 1 a 368 391 0 1 1 a 369 391 0 1 1 a 370 391 0 1 1 a 371 391 0 1 1 a 372 391 0 1 1 a 373 391 0 1 1 a 374 391 0 1 1 a 375 391 0 1 1 a 376 391 0 1 1 a 377 391 0 1 1 a 378 391 0 1 1 a 379 391 0 1 1 a 380 391 0 1 1 a 381 391 0 1 1 a 382 391 0 1 1 a 383 391 0 1 1 a 384 391 0 1 1 a 385 391 0 1 1 a 386 391 0 1 1 a 387 391 0 1 1 a 388 391 0 1 1 a 389 391 0 1 1 a 390 391 0 1 1 c tile to sink arcs a 391 392 0 592 0 c overflow arc a 0 392 0 393 1000 c end of flow problem