c Max flow problem for tiling p min 247 726 c source node n 0 264 c sink node n 246 -264 c source to target arcs a 0 1 1 1 0 a 0 2 1 1 0 a 0 3 1 2 0 a 0 4 1 1 0 a 0 5 1 1 0 a 0 6 1 1 0 a 0 7 1 1 0 a 0 8 1 1 0 a 0 9 1 1 0 a 0 10 1 1 0 a 0 11 1 2 0 a 0 12 1 1 0 a 0 13 1 1 0 a 0 14 1 1 0 a 0 15 1 1 0 a 0 16 1 1 0 a 0 17 1 1 0 a 0 18 1 2 0 a 0 19 1 1 0 a 0 20 1 1 0 a 0 21 2 3 0 a 0 22 1 1 0 a 0 23 1 1 0 a 0 24 1 1 0 a 0 25 1 2 0 a 0 26 1 1 0 a 0 27 1 1 0 a 0 28 1 1 0 a 0 29 1 1 0 a 0 30 1 2 0 a 0 31 1 1 0 a 0 32 1 1 0 a 0 33 1 1 0 a 0 34 1 1 0 a 0 35 1 1 0 a 0 36 1 2 0 a 0 37 1 1 0 a 0 38 1 1 0 a 0 39 1 1 0 a 0 40 1 1 0 a 0 41 1 1 0 a 0 42 1 1 0 a 0 43 1 1 0 a 0 44 1 1 0 a 0 45 1 1 0 a 0 46 1 1 0 a 0 47 1 1 0 a 0 48 1 1 0 a 0 49 1 1 0 a 0 50 1 2 0 a 0 51 1 1 0 a 0 52 1 2 0 a 0 53 1 1 0 a 0 54 1 1 0 a 0 55 1 1 0 a 0 56 1 1 0 a 0 57 1 2 0 a 0 58 1 1 0 a 0 59 1 1 0 a 0 60 1 1 0 a 0 61 1 2 0 a 0 62 1 1 0 a 0 63 1 1 0 a 0 64 1 1 0 a 0 65 1 1 0 a 0 66 1 1 0 a 0 67 1 1 0 a 0 68 1 1 0 a 0 69 1 2 0 a 0 70 1 1 0 a 0 71 2 3 0 a 0 72 1 1 0 a 0 73 1 1 0 a 0 74 1 1 0 a 0 75 1 1 0 a 0 76 1 1 0 a 0 77 1 1 0 a 0 78 1 1 0 a 0 79 1 1 0 a 0 80 1 2 0 a 0 81 1 1 0 a 0 82 1 1 0 a 0 83 1 1 0 a 0 84 1 1 0 a 0 85 1 1 0 a 0 86 1 2 0 a 0 87 1 1 0 a 0 88 1 1 0 a 0 89 1 1 0 a 0 90 1 1 0 a 0 91 1 1 0 a 0 92 1 1 0 a 0 93 1 2 0 a 0 94 1 1 0 a 0 95 1 1 0 a 0 96 1 1 0 a 0 97 1 1 0 a 0 98 1 1 0 a 0 99 1 1 0 a 0 100 1 1 0 a 0 101 1 1 0 a 0 102 1 1 0 a 0 103 1 1 0 a 0 104 1 1 0 a 0 105 1 1 0 a 0 106 1 1 0 a 0 107 1 1 0 a 0 108 1 1 0 a 0 109 1 2 0 a 0 110 1 1 0 a 0 111 1 1 0 a 0 112 1 1 0 a 0 113 1 1 0 a 0 114 1 1 0 a 0 115 1 1 0 a 0 116 1 2 0 a 0 117 1 1 0 a 0 118 1 1 0 a 0 119 1 1 0 a 0 120 1 2 0 a 0 121 1 1 0 a 0 122 1 1 0 a 0 123 1 1 0 a 0 124 1 2 0 a 0 125 1 1 0 a 0 126 1 1 0 a 0 127 1 1 0 a 0 128 1 1 0 a 0 129 1 1 0 a 0 130 1 1 0 a 0 131 1 1 0 a 0 132 1 1 0 a 0 133 1 1 0 a 0 134 1 1 0 a 0 135 1 1 0 a 0 136 1 1 0 a 0 137 1 1 0 a 0 138 1 1 0 a 0 139 1 1 0 a 0 140 1 1 0 a 0 141 1 1 0 a 0 142 1 1 0 a 0 143 1 1 0 a 0 144 1 1 0 a 0 145 1 1 0 a 0 146 1 1 0 a 0 147 1 1 0 a 0 148 1 1 0 a 0 149 1 1 0 a 0 150 1 1 0 a 0 151 1 1 0 a 0 152 1 1 0 a 0 153 1 1 0 a 0 154 1 1 0 a 0 155 1 1 0 a 0 156 1 1 0 a 0 157 1 1 0 a 0 158 1 2 0 a 0 159 1 1 0 a 0 160 1 1 0 a 0 161 1 1 0 a 0 162 1 1 0 a 0 163 1 1 0 a 0 164 1 1 0 a 0 165 1 1 0 a 0 166 1 1 0 a 0 167 1 1 0 a 0 168 1 1 0 a 0 169 1 1 0 a 0 170 1 1 0 a 0 171 1 1 0 a 0 172 1 1 0 a 0 173 1 1 0 a 0 174 1 1 0 a 0 175 1 1 0 a 0 176 1 1 0 a 0 177 1 1 0 a 0 178 1 1 0 a 0 179 1 1 0 a 0 180 1 1 0 a 0 181 1 1 0 a 0 182 1 1 0 a 0 183 1 1 0 a 0 184 1 2 0 a 0 185 1 1 0 a 0 186 1 1 0 a 0 187 1 1 0 a 0 188 1 1 0 a 0 189 1 1 0 a 0 190 1 1 0 a 0 191 1 1 0 a 0 192 1 1 0 a 0 193 1 1 0 a 0 194 1 1 0 a 0 195 1 1 0 a 0 196 1 1 0 a 0 197 1 1 0 a 0 198 1 1 0 a 0 199 1 1 0 a 0 200 1 1 0 a 0 201 1 1 0 a 0 202 1 1 0 a 0 203 1 1 0 a 0 204 1 1 0 a 0 205 1 1 0 a 0 206 1 1 0 a 0 207 1 1 0 a 0 208 1 1 0 a 0 209 1 1 0 a 0 210 1 1 0 a 0 211 1 1 0 a 0 212 1 1 0 a 0 213 1 1 0 a 0 214 1 1 0 a 0 215 1 1 0 a 0 216 1 1 0 a 0 217 1 1 0 a 0 218 1 1 0 a 0 219 1 1 0 a 0 220 1 1 0 a 0 221 1 1 0 a 0 222 1 1 0 a 0 223 1 1 0 a 0 224 1 1 0 a 0 225 1 1 0 a 0 226 1 1 0 a 0 227 1 1 0 a 0 228 1 1 0 a 0 229 1 1 0 a 0 230 1 1 0 a 0 231 1 1 0 a 0 232 1 1 0 a 0 233 1 1 0 a 0 234 1 1 0 a 0 235 1 1 0 a 0 236 1 1 0 a 0 237 1 1 0 a 0 238 1 1 0 a 0 239 1 1 0 a 0 240 1 1 0 c target to tile arcs a 1 241 0 1 0 a 1 242 0 1 0 a 2 241 0 1 0 a 2 242 0 1 0 a 3 242 0 1 0 a 3 243 0 1 0 a 4 242 0 1 0 a 4 243 0 1 0 a 5 242 0 1 0 a 5 243 0 1 0 a 6 242 0 1 0 a 6 243 0 1 0 a 7 242 0 1 0 a 7 243 0 1 0 a 8 242 0 1 0 a 8 243 0 1 0 a 9 241 0 1 0 a 9 242 0 1 0 a 10 241 0 1 0 a 10 242 0 1 0 a 11 242 0 1 0 a 11 243 0 1 0 a 12 241 0 1 0 a 12 242 0 1 0 a 13 241 0 1 0 a 13 242 0 1 0 a 14 241 0 1 0 a 14 242 0 1 0 a 15 242 0 1 0 a 15 243 0 1 0 a 16 242 0 1 0 a 16 243 0 1 0 a 17 241 0 1 0 a 17 242 0 1 0 a 18 241 0 1 0 a 18 242 0 1 0 a 19 242 0 1 0 a 19 243 0 1 0 a 20 241 0 1 0 a 20 242 0 1 0 a 21 242 0 2 0 a 21 243 0 2 0 a 22 242 0 1 0 a 22 243 0 1 0 a 23 242 0 1 0 a 23 243 0 1 0 a 24 242 0 1 0 a 24 243 0 1 0 a 25 241 0 1 0 a 25 242 0 1 0 a 26 244 0 1 0 a 26 245 0 1 0 a 27 241 0 1 0 a 27 242 0 1 0 a 28 241 0 1 0 a 28 242 0 1 0 a 29 241 0 1 0 a 29 242 0 1 0 a 30 243 0 1 0 a 30 244 0 1 0 a 31 241 0 1 0 a 31 242 0 1 0 a 32 242 0 1 0 a 32 243 0 1 0 a 33 244 0 1 0 a 33 245 0 1 0 a 34 241 0 1 0 a 34 242 0 1 0 a 35 241 0 1 0 a 35 242 0 1 0 a 36 241 0 1 0 a 36 242 0 1 0 a 37 241 0 1 0 a 37 242 0 1 0 a 38 242 0 1 0 a 38 243 0 1 0 a 39 242 0 1 0 a 39 243 0 1 0 a 40 241 0 1 0 a 40 242 0 1 0 a 41 242 0 1 0 a 41 243 0 1 0 a 42 243 0 1 0 a 42 244 0 1 0 a 43 242 0 1 0 a 43 243 0 1 0 a 44 241 0 1 0 a 44 242 0 1 0 a 45 243 0 1 0 a 45 244 0 1 0 a 46 241 0 1 0 a 46 242 0 1 0 a 47 241 0 1 0 a 47 242 0 1 0 a 48 241 0 1 0 a 48 242 0 1 0 a 49 241 0 1 1 a 49 242 0 1 1 a 50 241 0 1 0 a 50 242 0 1 0 a 51 241 0 1 0 a 51 242 0 1 0 a 52 242 0 1 0 a 52 243 0 1 0 a 53 244 0 1 0 a 53 245 0 1 0 a 54 241 0 1 0 a 54 242 0 1 0 a 55 242 0 1 0 a 55 243 0 1 0 a 56 243 0 1 0 a 56 244 0 1 0 a 57 241 0 1 0 a 57 242 0 1 0 a 58 241 0 1 0 a 58 242 0 1 0 a 59 242 0 1 0 a 59 243 0 1 0 a 60 242 0 1 0 a 60 243 0 1 0 a 61 242 0 1 0 a 61 243 0 1 0 a 62 242 0 1 0 a 62 243 0 1 0 a 63 241 0 1 0 a 63 242 0 1 0 a 64 241 0 1 0 a 64 242 0 1 0 a 65 242 0 1 0 a 65 243 0 1 0 a 66 242 0 1 0 a 66 243 0 1 0 a 67 241 0 1 0 a 67 242 0 1 0 a 68 244 0 1 1 a 68 245 0 1 1 a 69 242 0 1 0 a 69 243 0 1 0 a 70 241 0 1 0 a 70 242 0 1 0 a 71 243 0 2 0 a 71 244 0 2 0 a 72 241 0 1 0 a 72 242 0 1 0 a 73 242 0 1 0 a 73 243 0 1 0 a 74 243 0 1 0 a 74 244 0 1 0 a 75 241 0 1 0 a 75 242 0 1 0 a 76 242 0 1 0 a 76 243 0 1 0 a 77 242 0 1 0 a 77 243 0 1 0 a 78 243 0 1 0 a 78 244 0 1 0 a 79 241 0 1 0 a 79 242 0 1 0 a 80 241 0 1 0 a 80 242 0 1 0 a 81 241 0 1 0 a 81 242 0 1 0 a 82 241 0 1 0 a 82 242 0 1 0 a 83 242 0 1 0 a 83 243 0 1 0 a 84 243 0 1 0 a 84 244 0 1 0 a 85 241 0 1 0 a 85 242 0 1 0 a 86 241 0 1 0 a 86 242 0 1 0 a 87 241 0 1 0 a 87 242 0 1 0 a 88 241 0 1 0 a 88 242 0 1 0 a 89 241 0 1 0 a 89 242 0 1 0 a 90 241 0 1 0 a 90 242 0 1 0 a 91 241 0 1 0 a 91 242 0 1 0 a 92 241 0 1 0 a 92 242 0 1 0 a 93 241 0 1 0 a 93 242 0 1 0 a 94 243 0 1 0 a 94 244 0 1 0 a 95 242 0 1 0 a 95 243 0 1 0 a 96 241 0 1 0 a 96 242 0 1 0 a 97 241 0 1 0 a 97 242 0 1 0 a 98 242 0 1 0 a 98 243 0 1 0 a 99 241 0 1 0 a 99 242 0 1 0 a 100 241 0 1 0 a 100 242 0 1 0 a 101 241 0 1 0 a 101 242 0 1 0 a 102 241 0 1 0 a 102 242 0 1 0 a 103 244 0 1 0 a 103 245 0 1 0 a 104 244 0 1 0 a 104 245 0 1 0 a 105 241 0 1 0 a 105 242 0 1 0 a 106 242 0 1 0 a 106 243 0 1 0 a 107 241 0 1 0 a 107 242 0 1 0 a 108 242 0 1 0 a 108 243 0 1 0 a 109 242 0 1 0 a 109 243 0 1 0 a 110 241 0 1 0 a 110 242 0 1 0 a 111 241 0 1 0 a 111 242 0 1 0 a 112 241 0 1 0 a 112 242 0 1 0 a 113 241 0 1 0 a 113 242 0 1 0 a 114 241 0 1 0 a 114 242 0 1 0 a 115 242 0 1 0 a 115 243 0 1 0 a 116 241 0 1 0 a 116 242 0 1 0 a 117 242 0 1 0 a 117 243 0 1 0 a 118 242 0 1 0 a 118 243 0 1 0 a 119 241 0 1 0 a 119 242 0 1 0 a 120 241 0 1 0 a 120 242 0 1 0 a 121 243 0 1 0 a 121 244 0 1 0 a 122 241 0 1 0 a 122 242 0 1 0 a 123 242 0 1 0 a 123 243 0 1 0 a 124 241 0 1 0 a 124 242 0 1 0 a 125 242 0 1 0 a 125 243 0 1 0 a 126 242 0 1 0 a 126 243 0 1 0 a 127 241 0 1 0 a 127 242 0 1 0 a 128 241 0 1 0 a 128 242 0 1 0 a 129 244 0 1 0 a 129 245 0 1 0 a 130 244 0 1 0 a 130 245 0 1 0 a 131 243 0 1 0 a 131 244 0 1 0 a 132 241 0 1 0 a 132 242 0 1 0 a 133 241 0 1 0 a 133 242 0 1 0 a 134 243 0 1 0 a 134 244 0 1 0 a 135 242 0 1 0 a 135 243 0 1 0 a 136 241 0 1 0 a 136 242 0 1 0 a 137 241 0 1 0 a 137 242 0 1 0 a 138 241 0 1 0 a 138 242 0 1 0 a 139 244 0 1 0 a 139 245 0 1 0 a 140 241 0 1 1 a 140 242 0 1 1 a 141 241 0 1 0 a 141 242 0 1 0 a 142 242 0 1 0 a 142 243 0 1 0 a 143 242 0 1 0 a 143 243 0 1 0 a 144 244 0 1 0 a 144 245 0 1 0 a 145 244 0 1 0 a 145 245 0 1 0 a 146 241 0 1 0 a 146 242 0 1 0 a 147 241 0 1 0 a 147 242 0 1 0 a 148 243 0 1 0 a 148 244 0 1 0 a 149 241 0 1 0 a 149 242 0 1 0 a 150 241 0 1 0 a 150 242 0 1 0 a 151 241 0 1 0 a 151 242 0 1 0 a 152 241 0 1 0 a 152 242 0 1 0 a 153 242 0 1 0 a 153 243 0 1 0 a 154 242 0 1 0 a 154 243 0 1 0 a 155 244 0 1 0 a 155 245 0 1 0 a 156 241 0 1 0 a 156 242 0 1 0 a 157 242 0 1 0 a 157 243 0 1 0 a 158 243 0 1 0 a 158 244 0 1 0 a 159 241 0 1 0 a 159 242 0 1 0 a 160 241 0 1 0 a 160 242 0 1 0 a 161 241 0 1 0 a 161 242 0 1 0 a 162 241 0 1 0 a 162 242 0 1 0 a 163 241 0 1 0 a 163 242 0 1 0 a 164 242 0 1 0 a 164 243 0 1 0 a 165 242 0 1 0 a 165 243 0 1 0 a 166 242 0 1 0 a 166 243 0 1 0 a 167 242 0 1 0 a 167 243 0 1 0 a 168 241 0 1 0 a 168 242 0 1 0 a 169 243 0 1 0 a 169 244 0 1 0 a 170 241 0 1 0 a 170 242 0 1 0 a 171 242 0 1 0 a 171 243 0 1 0 a 172 241 0 1 0 a 172 242 0 1 0 a 173 241 0 1 0 a 173 242 0 1 0 a 174 241 0 1 0 a 174 242 0 1 0 a 175 241 0 1 0 a 175 242 0 1 0 a 176 241 0 1 0 a 176 242 0 1 0 a 177 241 0 1 0 a 177 242 0 1 0 a 178 243 0 1 0 a 178 244 0 1 0 a 179 241 0 1 0 a 179 242 0 1 0 a 180 242 0 1 0 a 180 243 0 1 0 a 181 242 0 1 0 a 181 243 0 1 0 a 182 241 0 1 0 a 182 242 0 1 0 a 183 242 0 1 0 a 183 243 0 1 0 a 184 241 0 1 0 a 184 242 0 1 0 a 185 241 0 1 0 a 185 242 0 1 0 a 186 241 0 1 0 a 186 242 0 1 0 a 187 242 0 1 0 a 187 243 0 1 0 a 188 241 0 1 0 a 188 242 0 1 0 a 189 242 0 1 0 a 189 243 0 1 0 a 190 244 0 1 0 a 190 245 0 1 0 a 191 241 0 1 0 a 191 242 0 1 0 a 192 242 0 1 0 a 192 243 0 1 0 a 193 241 0 1 0 a 193 242 0 1 0 a 194 241 0 1 0 a 194 242 0 1 0 a 195 243 0 1 0 a 195 244 0 1 0 a 196 242 0 1 0 a 196 243 0 1 0 a 197 241 0 1 0 a 197 242 0 1 0 a 198 242 0 1 0 a 198 243 0 1 0 a 199 241 0 1 0 a 199 242 0 1 0 a 200 242 0 1 0 a 200 243 0 1 0 a 201 242 0 1 0 a 201 243 0 1 0 a 202 241 0 1 0 a 202 242 0 1 0 a 203 241 0 1 0 a 203 242 0 1 0 a 204 242 0 1 0 a 204 243 0 1 0 a 205 241 0 1 0 a 205 242 0 1 0 a 206 242 0 1 0 a 206 243 0 1 0 a 207 241 0 1 0 a 207 242 0 1 0 a 208 242 0 1 0 a 208 243 0 1 0 a 209 241 0 1 0 a 209 242 0 1 0 a 210 242 0 1 0 a 210 243 0 1 0 a 211 241 0 1 0 a 211 242 0 1 0 a 212 242 0 1 0 a 212 243 0 1 0 a 213 243 0 1 0 a 213 244 0 1 0 a 214 244 0 1 0 a 214 245 0 1 0 a 215 242 0 1 1 a 215 243 0 1 1 a 216 241 0 1 0 a 216 242 0 1 0 a 217 242 0 1 0 a 217 243 0 1 0 a 218 241 0 1 0 a 218 242 0 1 0 a 219 243 0 1 0 a 219 244 0 1 0 a 220 241 0 1 0 a 220 242 0 1 0 a 221 241 0 1 0 a 221 242 0 1 0 a 222 244 0 1 0 a 222 245 0 1 0 a 223 242 0 1 0 a 223 243 0 1 0 a 224 241 0 1 0 a 224 242 0 1 0 a 225 241 0 1 0 a 225 242 0 1 0 a 226 241 0 1 0 a 226 242 0 1 0 a 227 242 0 1 0 a 227 243 0 1 0 a 228 244 0 1 0 a 228 245 0 1 0 a 229 241 0 1 0 a 229 242 0 1 0 a 230 241 0 1 0 a 230 242 0 1 0 a 231 241 0 1 0 a 231 242 0 1 0 a 232 241 0 1 0 a 232 242 0 1 0 a 233 241 0 1 0 a 233 242 0 1 0 a 234 242 0 1 0 a 234 243 0 1 0 a 235 241 0 1 0 a 235 242 0 1 0 a 236 241 0 1 0 a 236 242 0 1 0 a 237 242 0 1 0 a 237 243 0 1 0 a 238 241 0 1 0 a 238 242 0 1 0 a 239 244 0 1 0 a 239 245 0 1 0 a 240 241 0 1 0 a 240 242 0 1 0 c tile to sink arcs a 241 246 0 204 0 a 242 246 0 203 0 a 243 246 0 202 0 a 244 246 0 179 0 a 245 246 0 99 0 c overflow arc a 0 246 0 264 1000 c end of flow problem