c Max flow problem for tiling p min 182 535 c source node n 0 197 c sink node n 181 -197 c source to target arcs a 0 1 1 1 0 a 0 2 1 2 0 a 0 3 1 1 0 a 0 4 1 1 0 a 0 5 1 2 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 1 0 a 0 12 1 2 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 1 1 0 a 0 22 1 1 0 a 0 23 1 1 0 a 0 24 1 1 0 a 0 25 1 1 0 a 0 26 1 1 0 a 0 27 1 1 0 a 0 28 1 2 0 a 0 29 1 1 0 a 0 30 1 2 0 a 0 31 1 2 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 1 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 1 0 a 0 51 1 1 0 a 0 52 1 1 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 1 0 a 0 58 1 1 0 a 0 59 1 2 0 a 0 60 1 1 0 a 0 61 1 1 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 2 0 a 0 67 1 1 0 a 0 68 1 1 0 a 0 69 1 1 0 a 0 70 1 1 0 a 0 71 1 1 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 2 0 a 0 77 1 1 0 a 0 78 1 2 0 a 0 79 1 1 0 a 0 80 1 1 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 1 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 1 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 2 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 2 0 a 0 106 1 1 0 a 0 107 1 1 0 a 0 108 1 1 0 a 0 109 1 1 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 1 0 a 0 117 1 1 0 a 0 118 1 1 0 a 0 119 1 1 0 a 0 120 1 1 0 a 0 121 1 1 0 a 0 122 1 1 0 a 0 123 1 1 0 a 0 124 2 3 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 2 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 1 0 a 0 159 1 1 0 a 0 160 1 1 0 a 0 161 1 2 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 2 0 a 0 167 1 3 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 c target to tile arcs a 1 179 0 1 0 a 1 180 0 1 0 a 2 179 0 1 0 a 2 180 0 1 0 a 3 178 0 1 0 a 3 179 0 1 0 a 4 178 0 1 0 a 4 179 0 1 0 a 5 179 0 1 0 a 5 180 0 1 0 a 6 179 0 1 0 a 6 180 0 1 0 a 7 179 0 1 0 a 7 180 0 1 0 a 8 179 0 1 0 a 8 180 0 1 0 a 9 178 0 1 0 a 9 179 0 1 0 a 10 178 0 1 0 a 10 179 0 1 0 a 11 178 0 1 0 a 11 179 0 1 0 a 12 178 0 1 0 a 12 179 0 1 0 a 13 178 0 1 0 a 13 179 0 1 0 a 14 178 0 1 0 a 14 179 0 1 0 a 15 178 0 1 0 a 15 179 0 1 0 a 16 178 0 1 0 a 16 179 0 1 0 a 17 179 0 1 0 a 17 180 0 1 0 a 18 178 0 1 0 a 18 179 0 1 0 a 19 179 0 1 0 a 19 180 0 1 0 a 20 178 0 1 0 a 20 179 0 1 0 a 21 178 0 1 1 a 21 179 0 1 1 a 22 178 0 1 0 a 22 179 0 1 0 a 23 179 0 1 0 a 23 180 0 1 0 a 24 178 0 1 0 a 24 179 0 1 0 a 25 178 0 1 0 a 25 179 0 1 0 a 26 178 0 1 0 a 26 179 0 1 0 a 27 178 0 1 0 a 27 179 0 1 0 a 28 178 0 1 0 a 28 179 0 1 0 a 29 178 0 1 0 a 29 179 0 1 0 a 30 179 0 1 0 a 30 180 0 1 0 a 31 178 0 1 1 a 31 179 0 1 1 a 32 178 0 1 0 a 32 179 0 1 0 a 33 178 0 1 0 a 33 179 0 1 0 a 34 179 0 1 0 a 34 180 0 1 0 a 35 179 0 1 0 a 35 180 0 1 0 a 36 178 0 1 0 a 36 179 0 1 0 a 37 179 0 1 0 a 37 180 0 1 0 a 38 179 0 1 0 a 38 180 0 1 0 a 39 179 0 1 1 a 39 180 0 1 1 a 40 178 0 1 0 a 40 179 0 1 0 a 41 178 0 1 0 a 41 179 0 1 0 a 42 178 0 1 0 a 42 179 0 1 0 a 43 178 0 1 0 a 43 179 0 1 0 a 44 179 0 1 0 a 44 180 0 1 0 a 45 178 0 1 0 a 45 179 0 1 0 a 46 179 0 1 0 a 46 180 0 1 0 a 47 178 0 1 0 a 47 179 0 1 0 a 48 179 0 1 1 a 48 180 0 1 1 a 49 179 0 1 1 a 49 180 0 1 1 a 50 179 0 1 0 a 50 180 0 1 0 a 51 178 0 1 0 a 51 179 0 1 0 a 52 178 0 1 0 a 52 179 0 1 0 a 53 178 0 1 0 a 53 179 0 1 0 a 54 178 0 1 0 a 54 179 0 1 0 a 55 179 0 1 0 a 55 180 0 1 0 a 56 179 0 1 0 a 56 180 0 1 0 a 57 178 0 1 0 a 57 179 0 1 0 a 58 178 0 1 0 a 58 179 0 1 0 a 59 178 0 1 0 a 59 179 0 1 0 a 60 178 0 1 0 a 60 179 0 1 0 a 61 178 0 1 0 a 61 179 0 1 0 a 62 178 0 1 0 a 62 179 0 1 0 a 63 178 0 1 0 a 63 179 0 1 0 a 64 179 0 1 0 a 64 180 0 1 0 a 65 178 0 1 0 a 65 179 0 1 0 a 66 179 0 1 0 a 66 180 0 1 0 a 67 178 0 1 0 a 67 179 0 1 0 a 68 179 0 1 0 a 68 180 0 1 0 a 69 178 0 1 0 a 69 179 0 1 0 a 70 178 0 1 0 a 70 179 0 1 0 a 71 178 0 1 0 a 71 179 0 1 0 a 72 179 0 1 0 a 72 180 0 1 0 a 73 178 0 1 0 a 73 179 0 1 0 a 74 178 0 1 0 a 74 179 0 1 0 a 75 178 0 1 0 a 75 179 0 1 0 a 76 179 0 1 0 a 76 180 0 1 0 a 77 178 0 1 0 a 77 179 0 1 0 a 78 178 0 1 0 a 78 179 0 1 0 a 79 178 0 1 0 a 79 179 0 1 0 a 80 179 0 1 0 a 80 180 0 1 0 a 81 178 0 1 0 a 81 179 0 1 0 a 82 178 0 1 0 a 82 179 0 1 0 a 83 178 0 1 0 a 83 179 0 1 0 a 84 178 0 1 0 a 84 179 0 1 0 a 85 178 0 1 0 a 85 179 0 1 0 a 86 179 0 1 0 a 86 180 0 1 0 a 87 179 0 1 1 a 87 180 0 1 1 a 88 178 0 1 0 a 88 179 0 1 0 a 89 178 0 1 0 a 89 179 0 1 0 a 90 179 0 1 0 a 90 180 0 1 0 a 91 179 0 1 0 a 91 180 0 1 0 a 92 178 0 1 0 a 92 179 0 1 0 a 93 178 0 1 0 a 93 179 0 1 0 a 94 178 0 1 1 a 94 179 0 1 1 a 95 179 0 1 0 a 95 180 0 1 0 a 96 178 0 1 0 a 96 179 0 1 0 a 97 178 0 1 0 a 97 179 0 1 0 a 98 178 0 1 0 a 98 179 0 1 0 a 99 178 0 1 0 a 99 179 0 1 0 a 100 179 0 1 0 a 100 180 0 1 0 a 101 178 0 1 0 a 101 179 0 1 0 a 102 179 0 1 0 a 102 180 0 1 0 a 103 179 0 1 0 a 103 180 0 1 0 a 104 179 0 1 1 a 104 180 0 1 1 a 105 178 0 1 0 a 105 179 0 1 0 a 106 178 0 1 0 a 106 179 0 1 0 a 107 178 0 1 0 a 107 179 0 1 0 a 108 178 0 1 0 a 108 179 0 1 0 a 109 179 0 1 0 a 109 180 0 1 0 a 110 178 0 1 0 a 110 179 0 1 0 a 111 179 0 1 0 a 111 180 0 1 0 a 112 179 0 1 0 a 112 180 0 1 0 a 113 179 0 1 0 a 113 180 0 1 0 a 114 178 0 1 0 a 114 179 0 1 0 a 115 178 0 1 0 a 115 179 0 1 0 a 116 178 0 1 0 a 116 179 0 1 0 a 117 178 0 1 0 a 117 179 0 1 0 a 118 178 0 1 0 a 118 179 0 1 0 a 119 178 0 1 0 a 119 179 0 1 0 a 120 178 0 1 0 a 120 179 0 1 0 a 121 178 0 1 0 a 121 179 0 1 0 a 122 178 0 1 0 a 122 179 0 1 0 a 123 178 0 1 0 a 123 179 0 1 0 a 124 179 0 2 0 a 124 180 0 2 0 a 125 178 0 1 1 a 125 179 0 1 1 a 126 179 0 1 0 a 126 180 0 1 0 a 127 179 0 1 0 a 127 180 0 1 0 a 128 178 0 1 0 a 128 179 0 1 0 a 129 179 0 1 0 a 129 180 0 1 0 a 130 178 0 1 1 a 130 179 0 1 1 a 131 178 0 1 0 a 131 179 0 1 0 a 132 178 0 1 0 a 132 179 0 1 0 a 133 178 0 1 0 a 133 179 0 1 0 a 134 178 0 1 0 a 134 179 0 1 0 a 135 178 0 1 0 a 135 179 0 1 0 a 136 178 0 1 0 a 136 179 0 1 0 a 137 178 0 1 0 a 137 179 0 1 0 a 138 178 0 1 0 a 138 179 0 1 0 a 139 179 0 1 0 a 139 180 0 1 0 a 140 178 0 1 0 a 140 179 0 1 0 a 141 178 0 1 0 a 141 179 0 1 0 a 142 178 0 1 0 a 142 179 0 1 0 a 143 178 0 1 0 a 143 179 0 1 0 a 144 178 0 1 0 a 144 179 0 1 0 a 145 178 0 1 0 a 145 179 0 1 0 a 146 178 0 1 0 a 146 179 0 1 0 a 147 179 0 1 0 a 147 180 0 1 0 a 148 179 0 1 0 a 148 180 0 1 0 a 149 179 0 1 0 a 149 180 0 1 0 a 150 178 0 1 0 a 150 179 0 1 0 a 151 178 0 1 0 a 151 179 0 1 0 a 152 178 0 1 0 a 152 179 0 1 0 a 153 179 0 1 0 a 153 180 0 1 0 a 154 178 0 1 0 a 154 179 0 1 0 a 155 178 0 1 0 a 155 179 0 1 0 a 156 178 0 1 0 a 156 179 0 1 0 a 157 178 0 1 0 a 157 179 0 1 0 a 158 178 0 1 0 a 158 179 0 1 0 a 159 179 0 1 0 a 159 180 0 1 0 a 160 179 0 1 0 a 160 180 0 1 0 a 161 178 0 1 0 a 161 179 0 1 0 a 162 178 0 1 0 a 162 179 0 1 0 a 163 178 0 1 0 a 163 179 0 1 0 a 164 178 0 1 0 a 164 179 0 1 0 a 165 179 0 1 0 a 165 180 0 1 0 a 166 178 0 1 0 a 166 179 0 1 0 a 167 178 0 2 0 a 167 179 0 2 0 a 168 178 0 1 0 a 168 179 0 1 0 a 169 179 0 1 0 a 169 180 0 1 0 a 170 178 0 1 0 a 170 179 0 1 0 a 171 179 0 1 0 a 171 180 0 1 0 a 172 178 0 1 0 a 172 179 0 1 0 a 173 178 0 1 0 a 173 179 0 1 0 a 174 178 0 1 1 a 174 179 0 1 1 a 175 179 0 1 0 a 175 180 0 1 0 a 176 178 0 1 0 a 176 179 0 1 0 a 177 178 0 1 0 a 177 179 0 1 0 c tile to sink arcs a 178 181 0 118 0 a 179 181 0 3 0 a 180 181 0 73 0 c overflow arc a 0 181 0 197 1000 c end of flow problem