c Max flow problem for tiling p min 398 792 c source node n 0 395 c sink node n 397 -395 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 a 0 391 0 1 0 a 0 392 0 1 0 a 0 393 0 1 0 a 0 394 0 1 0 a 0 395 0 1 0 c target to tile arcs a 1 396 0 1 1 a 2 396 0 1 1 a 3 396 0 1 1 a 4 396 0 1 1 a 5 396 0 1 1 a 6 396 0 1 1 a 7 396 0 1 1 a 8 396 0 1 1 a 9 396 0 1 1 a 10 396 0 1 1 a 11 396 0 1 1 a 12 396 0 1 1 a 13 396 0 1 1 a 14 396 0 1 1 a 15 396 0 1 1 a 16 396 0 1 1 a 17 396 0 1 1 a 18 396 0 1 1 a 19 396 0 1 1 a 20 396 0 1 1 a 21 396 0 1 1 a 22 396 0 1 1 a 23 396 0 1 1 a 24 396 0 1 1 a 25 396 0 1 1 a 26 396 0 1 1 a 27 396 0 1 1 a 28 396 0 1 1 a 29 396 0 1 1 a 30 396 0 1 0 a 31 396 0 1 1 a 32 396 0 1 1 a 33 396 0 1 1 a 34 396 0 1 1 a 35 396 0 1 1 a 36 396 0 1 1 a 37 396 0 1 1 a 38 396 0 1 1 a 39 396 0 1 1 a 40 396 0 1 1 a 41 396 0 1 1 a 42 396 0 1 1 a 43 396 0 1 1 a 44 396 0 1 1 a 45 396 0 1 1 a 46 396 0 1 0 a 47 396 0 1 1 a 48 396 0 1 1 a 49 396 0 1 1 a 50 396 0 1 1 a 51 396 0 1 1 a 52 396 0 1 1 a 53 396 0 1 1 a 54 396 0 1 1 a 55 396 0 1 1 a 56 396 0 1 1 a 57 396 0 1 1 a 58 396 0 1 1 a 59 396 0 1 1 a 60 396 0 1 1 a 61 396 0 1 1 a 62 396 0 1 1 a 63 396 0 1 1 a 64 396 0 1 1 a 65 396 0 1 1 a 66 396 0 1 1 a 67 396 0 1 1 a 68 396 0 1 1 a 69 396 0 1 1 a 70 396 0 1 1 a 71 396 0 1 1 a 72 396 0 1 1 a 73 396 0 1 1 a 74 396 0 1 1 a 75 396 0 1 1 a 76 396 0 1 1 a 77 396 0 1 1 a 78 396 0 1 1 a 79 396 0 1 1 a 80 396 0 1 1 a 81 396 0 1 1 a 82 396 0 1 1 a 83 396 0 1 1 a 84 396 0 1 1 a 85 396 0 1 1 a 86 396 0 1 1 a 87 396 0 1 1 a 88 396 0 1 1 a 89 396 0 1 1 a 90 396 0 1 1 a 91 396 0 1 1 a 92 396 0 1 1 a 93 396 0 1 1 a 94 396 0 1 1 a 95 396 0 1 1 a 96 396 0 1 1 a 97 396 0 1 1 a 98 396 0 1 1 a 99 396 0 1 1 a 100 396 0 1 1 a 101 396 0 1 1 a 102 396 0 1 1 a 103 396 0 1 1 a 104 396 0 1 1 a 105 396 0 1 1 a 106 396 0 1 1 a 107 396 0 1 1 a 108 396 0 1 1 a 109 396 0 1 1 a 110 396 0 1 1 a 111 396 0 1 1 a 112 396 0 1 1 a 113 396 0 1 1 a 114 396 0 1 1 a 115 396 0 1 1 a 116 396 0 1 1 a 117 396 0 1 1 a 118 396 0 1 1 a 119 396 0 1 1 a 120 396 0 1 1 a 121 396 0 1 1 a 122 396 0 1 1 a 123 396 0 1 1 a 124 396 0 1 1 a 125 396 0 1 1 a 126 396 0 1 1 a 127 396 0 1 1 a 128 396 0 1 1 a 129 396 0 1 1 a 130 396 0 1 1 a 131 396 0 1 1 a 132 396 0 1 1 a 133 396 0 1 1 a 134 396 0 1 1 a 135 396 0 1 1 a 136 396 0 1 1 a 137 396 0 1 1 a 138 396 0 1 1 a 139 396 0 1 1 a 140 396 0 1 1 a 141 396 0 1 1 a 142 396 0 1 1 a 143 396 0 1 1 a 144 396 0 1 1 a 145 396 0 1 1 a 146 396 0 1 1 a 147 396 0 1 1 a 148 396 0 1 1 a 149 396 0 1 1 a 150 396 0 1 1 a 151 396 0 1 1 a 152 396 0 1 1 a 153 396 0 1 1 a 154 396 0 1 1 a 155 396 0 1 1 a 156 396 0 1 1 a 157 396 0 1 1 a 158 396 0 1 1 a 159 396 0 1 1 a 160 396 0 1 1 a 161 396 0 1 1 a 162 396 0 1 1 a 163 396 0 1 1 a 164 396 0 1 1 a 165 396 0 1 1 a 166 396 0 1 1 a 167 396 0 1 1 a 168 396 0 1 1 a 169 396 0 1 1 a 170 396 0 1 1 a 171 396 0 1 1 a 172 396 0 1 1 a 173 396 0 1 1 a 174 396 0 1 1 a 175 396 0 1 0 a 176 396 0 1 1 a 177 396 0 1 1 a 178 396 0 1 1 a 179 396 0 1 1 a 180 396 0 1 1 a 181 396 0 1 1 a 182 396 0 1 1 a 183 396 0 1 1 a 184 396 0 1 1 a 185 396 0 1 1 a 186 396 0 1 1 a 187 396 0 1 1 a 188 396 0 1 1 a 189 396 0 1 1 a 190 396 0 1 1 a 191 396 0 1 1 a 192 396 0 1 1 a 193 396 0 1 1 a 194 396 0 1 1 a 195 396 0 1 1 a 196 396 0 1 1 a 197 396 0 1 1 a 198 396 0 1 1 a 199 396 0 1 1 a 200 396 0 1 1 a 201 396 0 1 1 a 202 396 0 1 1 a 203 396 0 1 1 a 204 396 0 1 1 a 205 396 0 1 1 a 206 396 0 1 1 a 207 396 0 1 1 a 208 396 0 1 1 a 209 396 0 1 1 a 210 396 0 1 1 a 211 396 0 1 1 a 212 396 0 1 1 a 213 396 0 1 1 a 214 396 0 1 1 a 215 396 0 1 1 a 216 396 0 1 1 a 217 396 0 1 1 a 218 396 0 1 1 a 219 396 0 1 1 a 220 396 0 1 1 a 221 396 0 1 1 a 222 396 0 1 1 a 223 396 0 1 1 a 224 396 0 1 1 a 225 396 0 1 1 a 226 396 0 1 1 a 227 396 0 1 1 a 228 396 0 1 1 a 229 396 0 1 1 a 230 396 0 1 1 a 231 396 0 1 1 a 232 396 0 1 1 a 233 396 0 1 1 a 234 396 0 1 1 a 235 396 0 1 1 a 236 396 0 1 1 a 237 396 0 1 1 a 238 396 0 1 1 a 239 396 0 1 1 a 240 396 0 1 1 a 241 396 0 1 1 a 242 396 0 1 1 a 243 396 0 1 1 a 244 396 0 1 1 a 245 396 0 1 1 a 246 396 0 1 1 a 247 396 0 1 1 a 248 396 0 1 1 a 249 396 0 1 1 a 250 396 0 1 1 a 251 396 0 1 1 a 252 396 0 1 1 a 253 396 0 1 1 a 254 396 0 1 1 a 255 396 0 1 1 a 256 396 0 1 1 a 257 396 0 1 1 a 258 396 0 1 1 a 259 396 0 1 1 a 260 396 0 1 1 a 261 396 0 1 1 a 262 396 0 1 1 a 263 396 0 1 1 a 264 396 0 1 1 a 265 396 0 1 1 a 266 396 0 1 1 a 267 396 0 1 1 a 268 396 0 1 1 a 269 396 0 1 1 a 270 396 0 1 1 a 271 396 0 1 1 a 272 396 0 1 1 a 273 396 0 1 1 a 274 396 0 1 1 a 275 396 0 1 1 a 276 396 0 1 1 a 277 396 0 1 1 a 278 396 0 1 1 a 279 396 0 1 1 a 280 396 0 1 1 a 281 396 0 1 1 a 282 396 0 1 1 a 283 396 0 1 1 a 284 396 0 1 1 a 285 396 0 1 1 a 286 396 0 1 1 a 287 396 0 1 1 a 288 396 0 1 1 a 289 396 0 1 1 a 290 396 0 1 1 a 291 396 0 1 1 a 292 396 0 1 1 a 293 396 0 1 1 a 294 396 0 1 1 a 295 396 0 1 1 a 296 396 0 1 1 a 297 396 0 1 1 a 298 396 0 1 1 a 299 396 0 1 1 a 300 396 0 1 1 a 301 396 0 1 1 a 302 396 0 1 1 a 303 396 0 1 1 a 304 396 0 1 1 a 305 396 0 1 1 a 306 396 0 1 1 a 307 396 0 1 1 a 308 396 0 1 1 a 309 396 0 1 1 a 310 396 0 1 1 a 311 396 0 1 1 a 312 396 0 1 1 a 313 396 0 1 1 a 314 396 0 1 1 a 315 396 0 1 1 a 316 396 0 1 1 a 317 396 0 1 1 a 318 396 0 1 1 a 319 396 0 1 1 a 320 396 0 1 1 a 321 396 0 1 1 a 322 396 0 1 1 a 323 396 0 1 1 a 324 396 0 1 1 a 325 396 0 1 1 a 326 396 0 1 1 a 327 396 0 1 1 a 328 396 0 1 1 a 329 396 0 1 1 a 330 396 0 1 1 a 331 396 0 1 1 a 332 396 0 1 1 a 333 396 0 1 1 a 334 396 0 1 1 a 335 396 0 1 1 a 336 396 0 1 1 a 337 396 0 1 1 a 338 396 0 1 1 a 339 396 0 1 1 a 340 396 0 1 1 a 341 396 0 1 1 a 342 396 0 1 1 a 343 396 0 1 1 a 344 396 0 1 1 a 345 396 0 1 1 a 346 396 0 1 1 a 347 396 0 1 1 a 348 396 0 1 1 a 349 396 0 1 1 a 350 396 0 1 1 a 351 396 0 1 1 a 352 396 0 1 1 a 353 396 0 1 1 a 354 396 0 1 1 a 355 396 0 1 1 a 356 396 0 1 1 a 357 396 0 1 1 a 358 396 0 1 1 a 359 396 0 1 1 a 360 396 0 1 1 a 361 396 0 1 1 a 362 396 0 1 1 a 363 396 0 1 1 a 364 396 0 1 1 a 365 396 0 1 1 a 366 396 0 1 1 a 367 396 0 1 1 a 368 396 0 1 1 a 369 396 0 1 1 a 370 396 0 1 1 a 371 396 0 1 1 a 372 396 0 1 1 a 373 396 0 1 1 a 374 396 0 1 1 a 375 396 0 1 1 a 376 396 0 1 1 a 377 396 0 1 1 a 378 396 0 1 1 a 379 396 0 1 1 a 380 396 0 1 1 a 381 396 0 1 1 a 382 396 0 1 1 a 383 396 0 1 1 a 384 396 0 1 1 a 385 396 0 1 1 a 386 396 0 1 1 a 387 396 0 1 1 a 388 396 0 1 1 a 389 396 0 1 1 a 390 396 0 1 1 a 391 396 0 1 1 a 392 396 0 1 1 a 393 396 0 1 1 a 394 396 0 1 1 a 395 396 0 1 1 c tile to sink arcs a 396 397 0 592 0 c overflow arc a 0 397 0 398 1000 c end of flow problem