question
stringlengths
65
3.42k
answer
stringlengths
3
5.8k
algo_name
stringclasses
30 values
insertion_sort: key: [0.092 0.259 0.99 0.466 0.913 0.682 0.135 0.679 0.05 0.658 0.969 0.057 0.155 0.212 0.537 0.573 0.834 0.758 0.285 0.288 0.174 0.036 0.807 0.727 0.266 0.448 0.038 0.217], initial_trace: [0.092 0.259 0.99 0.466 0.913 0.682 0.135 0.679 0.05 0.658 0.969 0.057 0.155 0.212 0.537 0.573 0.834 0.758 0.285 0....
[0.092 0.259 0.99 0.466 0.913 0.682 0.135 0.679 0.05 0.658 0.969 0.057 0.155 0.212 0.537 0.573 0.834 0.758 0.285 0.288 0.174 0.036 0.807 0.727 0.266 0.448 0.038 0.217], [0.092 0.259 0.99 0.466 0.913 0.682 0.135 0.679 0.05 0.658 0.969 0.057 0.155 0.212 0.537 0.573 0.834 0.758 0.285 0.288 0.174 0.036 0.807 0.727 0.266 0....
insertion_sort
floyd_warshall: A: [[0 0 0 0], [0 0.876 0 0.713], [0 0 0.305 0], [0 0.713 0 0]], initial_trace: [[0 0 0 0], [1 1 1 1], [2 2 2 2], [3 3 3 3]] trace | Pi:
[[0 0 0 0], [1 1 1 1], [2 2 2 2], [3 3 3 3]], [[0 0 0 0], [1 1 1 1], [2 2 2 2], [3 3 3 3]] | [[0 0 0 0], [1 1 1 1], [2 2 2 2], [3 3 3 3]]
floyd_warshall
dijkstra: s: 7, A: [[0.437 0 0.043 0 0 0 0.615 0 0 0.484], [0 0 0 0 0 0 0 0 0 0], [0.043 0 0 0 0 0 0 0.51 0 0], [0 0 0 0.258 0 0 0.295 0.229 0 0], [0 0 0 0 0 0.323 0.281 0 0 0], [0 0 0 0 0.323 0 0 0 0 0], [0.615 0 0 0.295 0.281 0 0.973 0.188 0 0], [0 0 0.51 0.229 0 0 0.188 0 0 0.197], [0 0 0 0 0 0 0 0 0.126 0], [0.484 ...
[0 1 7 7 4 5 7 7 8 7], [6 1 7 7 6 5 7 7 8 7], [9 1 7 7 6 5 7 7 8 7], [9 1 7 7 6 5 7 7 8 7], [9 1 7 7 6 4 7 7 8 7], [2 1 7 7 6 4 7 7 8 7], [2 1 7 7 6 4 7 7 8 7] | [2 1 7 7 6 4 7 7 8 7]
dijkstra
minimum: key: [0.04 0.194 0.777 0.263 0.642 0.94 0.147 0.721 0.303 0.964 0.291 0.865 0.03 0.538 0.14 0.003 0.744 0.412 0.168 0.287 0.621 0.637 0.605 0.221 0.047 0.678 0.009 0.972 0.554 0.679 0.658], initial_trace: 0 trace | min:
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 | 15
minimum
insertion_sort: key: [0.416 0.667 0.352 0.136 0.304 0.92 0.391 0.12 0.775 0.952 0.929], initial_trace: [0.416 0.667 0.352 0.136 0.304 0.92 0.391 0.12 0.775 0.952 0.929] trace | pred:
[0.416 0.667 0.352 0.136 0.304 0.92 0.391 0.12 0.775 0.952 0.929], [0.352 0.416 0.667 0.136 0.304 0.92 0.391 0.12 0.775 0.952 0.929], [0.136 0.352 0.416 0.667 0.304 0.92 0.391 0.12 0.775 0.952 0.929], [0.136 0.304 0.352 0.416 0.667 0.92 0.391 0.12 0.775 0.952 0.929], [0.136 0.304 0.352 0.416 0.667 0.92 0.391 0.12 0.775...
insertion_sort
dfs: A: [[0 1 1 1 0 0 1 1 0 0 1 1 0 0 0], [0 0 1 1 0 1 1 1 1 0 1 1 0 0 0], [0 1 1 1 0 0 0 0 0 0 0 0 1 0 0], [0 1 0 0 0 1 0 0 1 1 1 0 0 1 0], [0 0 1 1 0 1 1 0 0 0 0 1 1 0 1], [0 1 1 0 1 0 1 0 1 0 1 1 0 0 0], [0 0 0 0 0 0 1 1 1 1 0 0 0 1 0], [0 1 0 0 0 0 1 0 0 1 1 0 0 1 0], [1 1 1 1 1 0 0 1 1 0 0 1 1 0 0], [0 1 0 0 0 0 0...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 0 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 0 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 0 1 3 4 5 6 7 8 9 10 11 12 13 14], [0 0 1 3 4 5 6 7 8 9 10 11 12 13 14], [0 0 1 2 4 5 6 7 8 9 10 11 12 13 14], [0 0 1 2 4 5 6 7 8 9 10 11 12 13 14], [0 0 1 2 4 3 6 7 8 9 10 11 12 13 14], [0 0 1 2 4 3 6 7...
dfs
task_scheduling: d: [7 9 6 10 2 5 6 10 2 4], w: [0.633 0.645 0.238 0.801 0.828 0.58 0.521 0.042 0.004 0.044], initial_trace: [0 0 0 0 0 0 0 0 0 0] trace | selected:
[0 0 0 0 1 0 0 0 0 0], [0 0 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [1 1 0 1 1 0 0 0 0 0], [1 1 0 1 1 1 0 0 0 0], [1 1 0 1 1 1 1 0 0 0], [1 1 0 1 1 1 1 0 0 0], [1 1 0 1 1 1 1 0 0 0], [1 1 0 1 1 1 1 1 0 0] | [1 1 0 1 1 1 1 1 0 0]
task_scheduling
naive_string_matcher: string: [0 0 0 0 0 0 0 0 1 1], key: [2 0 3 0 3 2 0 1 0 3], initial_trace: 0 trace | s:
1 | 1
naive_string_matcher
bfs: s: 1, A: [[1 0 1 0], [0 1 0 0], [1 0 1 1], [0 0 1 1]], initial_trace: [0 1 2 3] trace | pi:
| [0 1 2 3]
bfs
articulation_points: A: [[0 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [1 0 0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0]...
[0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 1 0 0 1 0 ...
articulation_points
task_scheduling: d: [20 17 1 19 12 6 18 12 21 22 22 8 10 21 15 3 2 8 1 14 11 17 21], w: [0.204 0.154 0.487 0.216 0.632 0.54 0.164 0.872 0.145 0.822 0.57 0.848 0.024 0.115 0.983 0.593 0.856 0.819 0.256 0.966 0.703 0.535 0.739], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] trace | selected:
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 1 0 1 0 1 0...
task_scheduling
dfs: A: [[1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0], [0 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1], [1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0], [1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1], [0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1], [1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1], [0 0 1 1 0 0 0 0 ...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 1 2 3 4 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 1 2 3 4 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 1 2 3 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 1 2 3 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 4 2 3 5...
dfs
heapsort: key: [0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174], initial_trace: [0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174] trace | pred:
[0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174], [0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174], [0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174], [0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174], [0.513 0.346 0.449 0.415 0.532 0.409 0.08 0.979 0.997 0.174], [0.513 0.3...
heapsort
dag_shortest_paths: s: 1, A: [[0 0.0181 0.00332 0 0], [0 0 0.0306 0 0.387], [0 0 0 0 0.358], [0.681 0 0.263 0 0.17], [0 0 0 0 0]], initial_trace: [0 1 2 3 4] trace | pi:
[0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 1 3 1] | [0 1 1 3 1]
dag_shortest_paths
jarvis_march: x: [-0.113 -0.814 -1.49 0.365 0.751 -1.4 -0.192 1.53 1.6 0.675], y: [0.374 -0.769 0.847 1.22 -0.992 -1.29 -1.78 -0.226 -0.683 1.2], initial_trace: [0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0], [0 0 0 0 0 0 1 0 1 0], [0 0 0 0 0 0 1 0 1 0]...
jarvis_march
graham_scan: x: [1.95 1.86 -0.466 -1.04], y: [-0.387 0.667 -0.127 0.69], initial_trace: [0 0 0 0] trace | in_hull:
[1 0 0 0], [1 0 0 0], [1 1 0 0], [1 1 0 1] | [1 1 1 1]
graham_scan
dijkstra: s: 6, A: [[0 0 0 0 0 0.401 0 0 0 0.091 0.578], [0 0 0 0 0.151 0 0 0 0 0 0], [0 0 0 0 0 0.188 0 0 0 0 0], [0 0 0 0.054 0.623 0 0.09 0 0 0.434 0], [0 0.151 0 0.623 0.891 0 0 0 0 0 0], [0.401 0 0.188 0 0 0.276 0 0 0 0 0.491], [0 0 0 0.09 0 0 0.764 0 0 0 0.471], [0 0 0 0 0 0 0 0 0 0.052 0], [0 0 0 0 0 0 0 0 0 0 0...
[0 1 2 6 4 5 6 7 8 9 6], [0 1 2 6 3 5 6 7 8 3 6], [10 1 2 6 3 10 6 7 10 3 6], [9 1 2 6 3 10 6 9 10 3 6], [9 1 2 6 3 10 6 9 10 3 6], [9 1 2 6 3 10 6 9 10 3 6], [9 4 2 6 3 10 6 9 10 3 6], [9 4 2 6 3 10 6 9 10 3 6], [9 4 5 6 3 10 6 9 10 3 6], [9 4 5 6 3 10 6 9 10 3 6] | [9 4 5 6 3 10 6 9 10 3 6]
dijkstra
jarvis_march: x: [-0.589 1.15 0.098 -1.17 -0.926 -0.139 1.49 0.241 1.26 -1.16 0.966 1.32], y: [1.71 0.089 -0.557 0.924 -0.47 -0.543 0.189 0.226 -1.24 0.947 0.021 -0.095], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 ...
jarvis_march
mst_kruskal: A: [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]], initial_trace: [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]] trace | in_mst:
| [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]]
mst_kruskal
lcs_length: string: [0 0 1 1], key: [2 3 3 3], initial_trace: [[-1 -1 1 1], [-1 -1 0 0], [-1 -1 -1 -1], [-1 -1 -1 -1]] trace | b:
| [[-1 -1 1 1], [-1 -1 0 0], [-1 -1 -1 -1], [-1 -1 -1 -1]]
lcs_length
dag_shortest_paths: s: 0, A: [[0 0 0 0 0 0 0.998 0 0.626 0 0 0.3 0 0 0], [0.253 0 0 0.155 0 0 0 0 0.61 0 0.49 0 0.802 0.834 0.788], [0.429 0 0 0.326 0 0 0.18 0 0.701 0.209 0.895 0.499 0.667 0.283 0], [0 0 0 0 0 0.984 0.931 0 0 0 0 0.591 0.937 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0.983 0 0 0 0 0 0.696 0 0.952 0 0 0.0...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7...
dag_shortest_paths
binary_search: key: [0.019 0.051 0.062 0.163 0.237 0.262 0.316 0.416 0.422 0.471 0.477 0.571 0.619 0.65 0.66 0.666 0.682 0.702 0.706 0.725 0.821 0.888 0.932], target: 0.659, initial_trace: (0, 22) trace | (low, high):
(12, 22), (12, 17), (12, 14) | (14, 14)
binary_search
bfs: s: 9, A: [[1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0], [0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0], [0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0], [0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0], [1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1], [1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0], [0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0], [0 0 1 0 1 0 0 0 0...
[0 1 9 3 4 9 6 7 8 9 9 11 9 13 14 15 9 9 18], [5 1 9 16 2 9 2 2 2 9 9 11 9 13 5 2 9 9 17] | [5 8 9 16 2 9 2 2 2 9 9 4 9 7 5 2 9 9 17]
bfs
activity_selector: s: [0.306 0.258 0.147 0.717 0.329 0.686 0.413 0.023 0.203 0.287 0.098 0.825 0.853 0.255 0.114 0.383 0.191 0.092 0.26 0.071 0.083 0.414 0.549 0.379 0.572 0.177 0.291 0.421], f: [0.684 0.84 0.873 0.858 0.337 0.86 0.886 0.03 0.486 0.354 0.383 0.902 0.856 0.453 0.728 0.967 0.961 0.677 0.347 0.234 0.111 0...
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0], [0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0], [0 0 0 0 1 0 0 1 0 0 0 0 ...
activity_selector
dijkstra: s: 4, A: [[0 0 0 0 0.687 0 0 0 0 0 0.548], [0 0.521 0 0 0 0.343 0 0 0 0 0.761], [0 0 0.963 0 0 0 0 0.516 0 0 0], [0 0 0 0.659 0 0 0 0 0 0.207 0], [0.687 0 0 0 0 0 0 0 0.105 0 0], [0 0.343 0 0 0 0 0 0.177 0 0 0.214], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0.516 0 0 0.177 0 0.419 0 0 0], [0 0 0 0 0.105 0 0 0 0 0 0], [0 ...
[4 1 2 3 4 5 6 7 4 9 10], [4 1 2 3 4 5 6 7 4 9 10], [4 1 2 3 4 5 6 7 4 9 0], [4 10 2 3 4 10 6 7 4 9 0], [4 5 2 3 4 10 6 5 4 9 0], [4 5 7 3 4 10 6 5 4 9 0], [4 5 7 3 4 10 6 5 4 9 0] | [4 5 7 3 4 10 6 5 4 9 0]
dijkstra
insertion_sort: key: [0.188 0.192 0.239 0.974 0.863 0.333 0.539 0.049 0.422 0.704 0.365 0.271 0.954 0.979 0.986 0.896 0.248 0.429 0.393 0.537 0.206 0.454 0.1 0.317 0.192 0.289 0.144 0.36], initial_trace: [0.188 0.192 0.239 0.974 0.863 0.333 0.539 0.049 0.422 0.704 0.365 0.271 0.954 0.979 0.986 0.896 0.248 0.429 0.393 0...
[0.188 0.192 0.239 0.974 0.863 0.333 0.539 0.049 0.422 0.704 0.365 0.271 0.954 0.979 0.986 0.896 0.248 0.429 0.393 0.537 0.206 0.454 0.1 0.317 0.192 0.289 0.144 0.36], [0.188 0.192 0.239 0.974 0.863 0.333 0.539 0.049 0.422 0.704 0.365 0.271 0.954 0.979 0.986 0.896 0.248 0.429 0.393 0.537 0.206 0.454 0.1 0.317 0.192 0.2...
insertion_sort
jarvis_march: x: [0.574 1.55 1.52 1.02], y: [0.108 0.622 1 -0.58], initial_trace: [0 0 0 0] trace | in_hull:
[0 0 0 1], [0 0 0 1], [0 0 0 1], [0 0 0 1], [0 0 0 1], [0 1 0 1], [0 1 0 1], [0 1 0 1], [0 1 0 1], [0 1 0 1], [0 1 1 1], [0 1 1 1], [0 1 1 1], [0 1 1 1], [0 1 1 1], [1 1 1 1], [1 1 1 1], [1 1 1 1], [1 1 1 1] | [1 1 1 1]
jarvis_march
mst_prim: s: 2, A: [[0.169 0 0 0.856], [0 0 0 0.315], [0 0 0 0.311], [0.856 0.315 0.311 0.733]], initial_trace: [0 1 2 3] trace | pi:
[0 1 2 2], [3 3 2 2], [3 3 2 2] | [3 3 2 2]
mst_prim
topological_sort: A: [[0 1 0 1 0 0 0 0 0 0 0 0 1 0 1], [0 0 0 1 1 0 1 0 1 1 0 0 0 0 0], [0 0 0 1 1 0 1 0 1 1 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 1 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 1 0 0 0 1 0 0 0 1 0 0 1], [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0], [...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 3, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 3, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 3, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], 3, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 ...
topological_sort
dijkstra: s: 3, A: [[0 0 0 0 0], [0 0.993 0 0 0], [0 0 0.185 0 0], [0 0 0 0 0.902], [0 0 0 0.902 0.397]], initial_trace: [0 1 2 3 4] trace | pi:
[0 1 2 3 3] | [0 1 2 3 3]
dijkstra
activity_selector: s: [0.365 0.51 0.791 0.002 0.191 0.352 0.413 0.253 0.134 0.634 0.368 0.013], f: [0.582 0.67 0.938 0.76 0.38 0.537 0.641 0.621 0.931 0.915 0.699 0.259], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | selected:
[0 0 0 0 0 0 0 0 0 0 0 1], [0 0 0 0 0 0 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 0 0 1], [0 0 0 0 0 1 0 0 0 1 0 1], [0 0 0 0 0 1 0 0 0 1 0 1] | [0 0 0 0 0 1 0 0 0 1 0...
activity_selector
dfs: A: [[0 0 1 1 1], [1 0 1 0 0], [1 1 1 1 1], [0 0 0 1 1], [0 1 1 0 0]], initial_trace: [0 1 2 3 4] trace | pi:
[0 1 2 3 4], [0 1 0 3 4], [0 1 0 3 4], [0 2 0 3 4], [0 2 0 3 4], [0 2 0 3 4], [0 2 0 2 4], [0 2 0 2 4], [0 2 0 2 3], [0 2 0 2 3], [0 2 0 2 3], [0 2 0 2 3], [0 2 0 2 3] | [0 2 0 2 3]
dfs
bellman_ford: s: 3, A: [[0.509 0 0 0.395], [0 0.098 0 0.306], [0 0 0.592 0], [0.395 0.306 0 0]], initial_trace: [0 1 2 3] trace | pi:
| [3 3 2 3]
bellman_ford
segments_intersect: x: [0.488 0.74 0.273 0.93], y: [0.213 0.772 0.429 0.302] intersect:
1
segments_intersect
find_maximum_subarray_kadane: key: [0.501 0.367 0.735 0.013 -0.172], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 1), (0, 2), (0, 3) | (0, 3)
find_maximum_subarray_kadane
dag_shortest_paths: s: 0, A: [[0 0 0.0566 0.49], [0 0 0.645 0], [0 0 0 0], [0 0 0.807 0]], initial_trace: [0 1 2 3] trace | pi:
[0 1 2 3], [0 1 2 3], [0 1 2 3], [0 1 2 3], [0 1 2 3], [0 1 2 3], [0 1 2 3], [0 1 0 0] | [0 1 0 0]
dag_shortest_paths
heapsort: key: [0.907 0.414 0.027 0.851], initial_trace: [0.907 0.414 0.027 0.851] trace | pred:
[0.907 0.414 0.027 0.851], [0.907 0.414 0.027 0.851], [0.907 0.851 0.027 0.414], [0.907 0.851 0.027 0.414], [0.907 0.851 0.027 0.414], [0.414 0.851 0.027 0.907], [0.851 0.414 0.027 0.907], [0.851 0.414 0.027 0.907], [0.027 0.414 0.851 0.907], [0.414 0.027 0.851 0.907], [0.414 0.027 0.851 0.907], [0.027 0.414 0.851 0.90...
heapsort
topological_sort: A: [[0 0 0 1 0 0 1 1 0 0], [1 0 0 0 0 0 1 1 0 1], [1 0 0 0 1 1 0 0 0 1], [0 0 0 0 0 0 0 0 0 0], [0 0 0 1 0 0 0 0 0 1], [0 0 0 1 1 0 0 1 0 0], [0 0 0 1 0 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1], [0 0 0 0 1 0 0 0 0 1], [0 0 0 0 0 0 0 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9], 0 trace | topo, topo_head:
[0 1 2 3 4 5 6 7 8 9], 0, [0 1 2 3 4 5 6 7 8 9], 0, [0 1 2 3 4 5 6 7 8 9], 3, [0 1 2 3 4 5 6 7 8 9], 3, [0 1 2 3 4 5 3 7 8 9], 6, [0 1 2 3 4 5 3 7 8 9], 6, [0 1 2 3 4 5 3 7 8 9], 6, [0 1 2 3 4 5 3 7 8 9], 6, [0 1 2 3 4 5 3 7 8 6], 9, [0 1 2 3 9 5 3 7 8 6], 4, [0 1 2 3 9 5 3 4 8 6], 7, [7 1 2 3 9 5 3 4 8 6], 0, [7 1 2 3...
topological_sort
find_maximum_subarray_kadane: key: [0.573 0.704 -0.729 -0.059 0.313 0.978 0.643 -0.719 0.864 0.339 0.649 0.878 -0.368 0.294 -0.245 0.949 0.562 0.287 0.097 0.076 -0.992 0.206 -0.437 -0.685 0.885 0.07 -0.173 0.552 -0.167 -0.942 -0.07], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 1), (0, 1), (0, 1), (0, 1), (0, 5), (0, 6), (0, 6), (0, 8), (0, 9), (0, 10), (0, 11), (0, 11), (0, 11), (0, 11), (0, 15), (0, 16), (0, 17), (0, 18), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19), (0, 19) | (0, 19)
find_maximum_subarray_kadane
graham_scan: x: [-0.958 0.089 1.5 -1.68 0.8 1.48 -1.69 1.43 1.34 0.468 -0.835 -0.706 0.302 -1.78 1.67 -1.06 1.61 0.008 -1.05 -1.95 -0.972 -0.247 0.571 -1.36 -1.85 -0.777 0.938 -0.075], y: [1.37 -1.22 1.06 -0.528 0.491 0.7 0.181 1.3 0.273 1.43 -0.911 -1.55 -0.532 -0.816 0.171 -0.353 -0.336 1.59 -0.948 0.257 0.242 -0.314...
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0], [0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0], [0 1 0 0 0 0 0 0 0 0 0 1 ...
graham_scan
heapsort: key: [0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369], initial_trace: [0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369] trace | pred:
[0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369], [0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369], [0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369], [0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369], [0.589 0.187 0.887 0.309 0.991 0.396 0.218 0.509 0.075 0.369], [0.58...
heapsort
segments_intersect: x: [0.49 0.353 0.34 0.914], y: [0.201 0.345 0.177 0.274] intersect:
1
segments_intersect
jarvis_march: x: [1.36 1.91 -0.064 -0.798 -1.07], y: [-0.806 0.452 1.04 0.985 -0.598], initial_trace: [0 0 0 0 0] trace | in_hull:
[1 0 0 0 0], [1 0 0 0 0], [1 0 0 0 0], [1 0 0 0 0], [1 0 0 0 0], [1 0 0 0 0], [1 1 0 0 0], [1 1 0 0 0], [1 1 0 0 0], [1 1 0 0 0], [1 1 0 0 0], [1 1 0 0 0], [1 1 1 0 0], [1 1 1 0 0], [1 1 1 0 0], [1 1 1 0 0], [1 1 1 0 0], [1 1 1 0 0], [1 1 1 1 0], [1 1 1 1 0], [1 1 1 1 0], [1 1 1 1 0], [1 1 1 1 0], [1 1 1 1 0], [1 1 1 1...
jarvis_march
quickselect: key: [0.501 0.369 0.756 0.514 0.245 0.688 0.64 0.827 0.917 0.465 0.391 0.787 0.699 0.874 0.625 0.376 0.848 0.59 0.605], initial_trace: 18 trace | pivot:
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6 | 14
quickselect
find_maximum_subarray_kadane: key: [-0.824 0.18 0.26 0.845 0.431 0.59 -0.958 -0.772 0.192 0.443 0.387], initial_trace: (0, 0) trace | (best_low, best_high):
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 5), (1, 5), (1, 5), (1, 5) | (1, 5)
find_maximum_subarray_kadane
find_maximum_subarray_kadane: key: [0.628 0.333 -0.546 -0.002 -0.875], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 1), (0, 1), (0, 1) | (0, 1)
find_maximum_subarray_kadane
bubble_sort: key: [0.246 0.47 0.596 0.286], initial_trace: [0.246 0.47 0.596 0.286] trace | pred:
[0.246 0.47 0.286 0.596], [0.246 0.286 0.47 0.596], [0.246 0.286 0.47 0.596], [0.246 0.286 0.47 0.596], [0.246 0.286 0.47 0.596] | [0.246 0.286 0.47 0.596]
bubble_sort
naive_string_matcher: string: [0 0 0 0 0 0 0 0 1 1], key: [0 2 0 2 3 0 1 3 3 0], initial_trace: 0 trace | s:
1, 2, 3, 4 | 4
naive_string_matcher
segments_intersect: x: [0.159 0.455 0.993 0.009], y: [0.68 0.739 0.087 0.058] intersect:
0
segments_intersect
find_maximum_subarray_kadane: key: [0.349 -0.148 0.425 -0.114 -0.896 0.87 0.952 0.427 -0.57 0.745 -0.75 0.89 -0.869 0.396 -0.723 0.435 0.276 0.922 0.201 -0.084 0.689 0.723 -0.649], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 2), (0, 2), (0, 2), (5, 5), (5, 6), (5, 7), (5, 7), (5, 9), (5, 9), (5, 11), (5, 11), (5, 11), (5, 11), (5, 11), (5, 11), (5, 17), (5, 18), (5, 18), (5, 20), (5, 21) | (5, 21)
find_maximum_subarray_kadane
naive_string_matcher: string: [0 0 0 0 1], key: [0 0 1 2 0], initial_trace: 0 trace | s:
| 0
naive_string_matcher
naive_string_matcher: string: [0 0 0 0 0 0 0 0 0 1 1], key: [0 2 2 0 1 0 3 3 2 0 2], initial_trace: 0 trace | s:
| 0
naive_string_matcher
insertion_sort: key: [0.492 0.055 0.641 0.023 0.146 0.517 0.795 0.588 0.618 0.974 0.652 0.242 0.593 0.744 0.517 0.623 0.766 0.637 0.141 0.587 0.152 0.992 0.684 0.835 0.389 0.514 0.879 0.197 0.661 0.467 0.326], initial_trace: [0.492 0.055 0.641 0.023 0.146 0.517 0.795 0.588 0.618 0.974 0.652 0.242 0.593 0.744 0.517 0.62...
[0.055 0.492 0.641 0.023 0.146 0.517 0.795 0.588 0.618 0.974 0.652 0.242 0.593 0.744 0.517 0.623 0.766 0.637 0.141 0.587 0.152 0.992 0.684 0.835 0.389 0.514 0.879 0.197 0.661 0.467 0.326], [0.055 0.492 0.641 0.023 0.146 0.517 0.795 0.588 0.618 0.974 0.652 0.242 0.593 0.744 0.517 0.623 0.766 0.637 0.141 0.587 0.152 0.99...
insertion_sort
find_maximum_subarray_kadane: key: [-0.593 0.93 -0.002 -0.999], initial_trace: (0, 0) trace | (best_low, best_high):
(1, 1), (1, 1) | (1, 1)
find_maximum_subarray_kadane
find_maximum_subarray_kadane: key: [-0.086 -0.536 0.304 0.89 -0.458 -0.15 -0.929 0.621 0.207 0.795 0.971 0.3 0.008 0.319 0.295 0.11 0.665 0.447 0.111], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (2, 2), (2, 3), (2, 3), (2, 3), (2, 3), (2, 3), (2, 3), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (7, 15), (7, 16), (7, 17) | (7, 18)
find_maximum_subarray_kadane
jarvis_march: x: [0.119 0.495 -0.067 0.599 0.781 -0.59 1.13 1.1 1.31 -0.723], y: [0.529 -0.157 0.597 -0.428 -0.157 -0.111 0.674 -1.27 0.501 0.669], initial_trace: [0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 0 0], [0 0 0 0 0 0 0 1 1 0], [0 0 0 0 0 0 0 1 1 0], [0 0 0 0 0 0 0 1 1 0]...
jarvis_march
minimum: key: [0.935 0.409 0.657 0.757 0.607 0.28 0.369 0.352 0.54 0.875 0.411], initial_trace: 0 trace | min:
1, 1, 1, 1, 5, 5, 5, 5, 5 | 5
minimum
dijkstra: s: 11, A: [[0.051 0 0 0 0 0 0 0 0 0 0.28 0 0.78 0 0 0.358 0 0.348 0 0 0 0 0 0 0 0 0 0.342], [0 0 0.661 0 0 0 0 0 0 0 0.533 0 0 0 0 0 0 0 0 0.342 0 0 0 0 0.792 0 0 0], [0 0.661 0.751 0 0.116 0 0.286 0 0 0 0.252 0 0 0 0 0.653 0 0 0 0 0 0.304 0 0 0 0 0.752 0], [0 0 0 0 0.235 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511 0 0 0...
[0 1 2 3 4 5 6 11 11 9 10 11 11 13 11 15 16 17 18 19 11 21 11 11 24 11 11 27], [0 1 2 3 4 5 6 11 11 9 10 11 11 20 11 15 20 20 18 19 11 20 11 11 24 11 11 20], [0 1 2 3 4 5 7 11 7 9 10 11 7 20 11 15 20 20 18 19 11 20 11 11 24 11 11 7], [0 1 2 3 4 5 7 11 7 9 25 11 7 20 11 15 20 20 18 19 11 20 11 11 25 11 11 7], [0 1 2 3 4...
dijkstra
dag_shortest_paths: s: 14, A: [[0 0 0 0 0 0.682 0.901 0 0 0.496 0 0 0 0 0.836], [0.321 0 0 0 0 0 0.773 0 0.903 0 0 0 0.186 0.7 0.856], [0.27 0 0 0 0.963 0.508 0 0 0 0.313 0 0 0 0 0], [0.617 0 0 0 0 0 0.857 0 0 0.373 0 0 0 0 0.0143], [0 0 0 0 0 0 0.246 0.438 0.491 0.133 0 0 0 0 0.804], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14], [0 1 2 3 4 14 6 7 14 9 10 11 12 13 14] | [0 1 2 3 4 14...
dag_shortest_paths
optimal_bst: p: [0.095 0.115 0.073 0.092 0.122 0], q: [0.05 0.107 0.067 0.023 0.135 0.12], initial_trace: [[0 0 0 0 0 0], [0 0 0 0 0 0], [0 0 0 0 0 0], [0 0 0 0 0 0], [0 0 0 0 0 0], [0 0 0 0 0 0]] trace | root:
[[0 0 0 0 0 0], [0 0 1 0 0 0], [0 0 0 2 0 0], [0 0 0 0 3 0], [0 0 0 0 0 4], [0 0 0 0 0 0]], [[0 0 1 0 0 0], [0 0 1 1 0 0], [0 0 0 2 3 0], [0 0 0 0 3 4], [0 0 0 0 0 4], [0 0 0 0 0 0]], [[0 0 1 1 0 0], [0 0 1 1 2 0], [0 0 0 2 3 3], [0 0 0 0 3 4], [0 0 0 0 0 4], [0 0 0 0 0 0]], [[0 0 1 1 1 0], [0 0 1 1 2 3], [0 0 0 2 3 3]...
optimal_bst
activity_selector: s: [0.626 0.079 0.729 0.328 0.091 0.877 0.196 0.435 0.241 0.231 0.313 0.045], f: [0.793 0.476 0.786 0.753 0.693 0.882 0.5 0.561 0.935 0.968 0.387 0.912], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | selected:
[0 0 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 0 0 1 0], [0 0 0 0 0 0 0 1 0 0 1 0], [0 0 0 0 0 0 0 1 0 0 1 0], [0 0 1 0 0 0 0 1 0 0 1 0], [0 0 1 0 0 0 0 1 0 0 1 0], [0 0 1 0 0 1 0 1 0 0 1 0], [0 0 1 0 0 1 0 1 0 0 1 0], [0 0 1 0 0 1 0 1 0 0 1 0] | [0 0 1 0 0 1 0 1 0 0 1...
activity_selector
minimum: key: [0.208 0.402 0.792 0.756 0.442 0.619 0.982 0.176 0.918 0.067 0.403 0.186 0.96 0.361 0.936 0.25 0.97 0.994 0.613], initial_trace: 0 trace | min:
0, 0, 0, 0, 0, 0, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9 | 9
minimum
dijkstra: s: 1, A: [[0.488 0 0 0 0 0 0 0.272 0.704 0.572 0 0], [0 0 0 0 0 0 0 0 0.502 0 0.642 0.345], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0.756 0 0 0.181 0 0 0 0 0], [0 0 0 0 0 0 0.681 0 0 0 0 0], [0 0 0 0 0 0.155 0.4 0 0 0.125 0 0], [0 0 0 0.181 0.681 0.4 0 0 0 0 0 0], [0.272 0 0 0 0 0 0 0.932 0.779 0 0 0], [0.704 0.502...
[0 1 2 3 4 5 6 7 1 9 1 1], [0 1 2 3 4 5 6 7 1 9 1 1], [8 1 2 3 4 5 6 8 1 9 1 1], [8 1 2 3 4 5 6 8 1 9 1 1], [8 1 2 3 4 5 6 8 1 0 1 1], [8 1 2 3 4 5 6 8 1 0 1 1], [8 1 2 3 4 9 6 8 1 0 1 1], [8 1 2 3 4 9 5 8 1 0 1 1], [8 1 2 6 6 9 5 8 1 0 1 1], [8 1 2 6 6 9 5 8 1 0 1 1] | [8 1 2 6 6 9 5 8 1 0 1 1]
dijkstra
activity_selector: s: [0.046 0.506 0.202 0.915 0.103 0.226 0.057 0.088 0.192 0.059 0.47 0.118], f: [0.634 0.919 0.322 0.983 0.815 0.508 0.714 0.959 0.44 0.735 0.661 0.163], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | selected:
[0 0 0 0 0 0 0 0 0 0 0 1], [0 0 1 0 0 0 0 0 0 0 0 1], [0 0 1 0 0 0 0 0 0 0 0 1], [0 0 1 0 0 0 0 0 0 0 0 1], [0 0 1 0 0 0 0 0 0 0 0 1], [0 0 1 0 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 0 1 1] | [0 0 1 1 0 0 0 0 0 0 1...
activity_selector
bfs: s: 16, A: [[0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1], [0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0], [0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0], [0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0], [0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0], [0 1 1 1 ...
[16 1 2 3 4 5 6 16 8 9 10 11 12 13 16 15 16 17 16 19 20 21 22 23 24 25 26 27], [16 1 7 3 7 7 14 16 18 9 7 11 0 13 16 0 16 7 16 19 18 0 14 14 7 25 26 0] | [16 4 7 5 7 7 14 16 18 5 7 4 0 17 16 0 16 7 16 4 18 0 14 14 7 6 12 0]
bfs
graham_scan: x: [-1.34 0.973 0.677 1.47 1.47 1.13 1.35 1.27 0.52 -0.792 0.598 1.35 1.47 0.779 1.72 -0.169 -1.37 -0.285 -0.935 0.234 0.904 -1.71 -0.093 0.167 1.33 0.296 -0.67 0.741 0.487 -0.169 1.58], y: [0.258 1.2 -0.089 1.27 -1.1 -0.674 -0.467 -0.017 1.02 1.71 -0.994 -1.32 -0.267 -1.36 0.426 1.07 0.905 -0.612 -0.814 -...
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0...
graham_scan
mst_prim: s: 6, A: [[0 0 0.269 0 0 0 0 0 0 0 0.472], [0 0.346 0 0 0.345 0 0 0 0 0.335 0], [0.269 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0.821 0.603 0 0 0.198 0 0], [0 0.345 0 0.821 0 0 0 0 0 0 0.71], [0 0 0 0.603 0 0 0.92 0.775 0 0.357 0], [0 0 0 0 0 0.92 0 0 0 0.553 0], [0 0 0 0 0 0.775 0 0 0.196 0 0], [0 0 0 0.198 0 0 0 0.19...
[0 1 2 3 4 6 6 7 8 6 10], [0 9 2 3 4 9 6 7 8 6 10], [0 9 2 3 1 9 6 7 8 6 10], [0 9 2 4 1 9 6 7 8 6 4], [0 9 2 5 1 9 6 5 8 6 4], [0 9 2 5 1 9 6 5 3 6 4], [0 9 2 5 1 9 6 8 3 6 4], [0 9 2 5 1 9 6 8 3 6 4], [10 9 2 5 1 9 6 8 3 6 4], [10 9 0 5 1 9 6 8 3 6 4] | [10 9 0 5 1 9 6 8 3 6 4]
mst_prim
quickselect: key: [0.875 0.067 0.167 0.821 0.383 0.59 0.611 0.713 0.525 0.372 0.902], initial_trace: 10 trace | pivot:
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 7, 7, 7, 6, 6 | 5
quickselect
jarvis_march: x: [-1.53 -1.34 1.65 1.06 -0.903 0.726 1.33 -0.14 0.909 -0.578 -0.278 -1.74], y: [-1.02 -0.573 -1.04 1.59 1.37 -1.48 -1.23 0.395 -0.302 -1.45 0.057 -0.197], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 ...
jarvis_march
bridges: A: [[0 0 0 0], [0 0 0 0], [0 0 0 0], [0 0 0 0]], initial_trace: [[0 -1 -1 -1], [-1 0 -1 -1], [-1 -1 0 -1], [-1 -1 -1 0]] trace | is_bridge:
[[0 -1 -1 -1], [-1 0 -1 -1], [-1 -1 0 -1], [-1 -1 -1 0]], [[0 -1 -1 -1], [-1 0 -1 -1], [-1 -1 0 -1], [-1 -1 -1 0]], [[0 -1 -1 -1], [-1 0 -1 -1], [-1 -1 0 -1], [-1 -1 -1 0]], [[0 -1 -1 -1], [-1 0 -1 -1], [-1 -1 0 -1], [-1 -1 -1 0]], [[0 -1 -1 -1], [-1 0 -1 -1], [-1 -1 0 -1], [-1 -1 -1 0]], [[0 -1 -1 -1], [-1 0 -1 -1], [...
bridges
bfs: s: 1, A: [[0 0 0 0], [0 0 0 0], [0 0 1 0], [0 0 0 0]], initial_trace: [0 1 2 3] trace | pi:
| [0 1 2 3]
bfs
quicksort: key: [0.192 0.463 0.495 0.255], initial_trace: [0.192 0.463 0.495 0.255] trace | pred:
[0.192 0.463 0.495 0.255], [0.192 0.463 0.495 0.255], [0.192 0.255 0.495 0.463], [0.192 0.255 0.495 0.463] | [0.192 0.255 0.463 0.495]
quicksort
find_maximum_subarray_kadane: key: [0.475 -0.282 0.35 0.407 0.321], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 2), (0, 3) | (0, 4)
find_maximum_subarray_kadane
bellman_ford: s: 11, A: [[0.732 0 0 0 0 0 0 0 0 0 0 0], [0 0.197 0 0 0 0 0 0.359 0 0 0.164 0], [0 0 0.629 0 0 0 0 0.173 0.226 0 0 0], [0 0 0 0 0 0 0 0.311 0 0.293 0.571 0], [0 0 0 0 0 0.089 0 0.979 0 0 0.455 0.285], [0 0 0 0 0.089 0 0.901 0.629 0 0 0 0], [0 0 0 0 0 0.901 0.544 0 0.625 0 0 0], [0 0.359 0.173 0.311 0.979...
[0 1 2 3 11 5 6 7 8 11 11 11], [0 10 2 9 11 4 6 4 8 11 9 11], [0 10 7 9 11 4 5 3 8 11 9 11], [0 10 7 9 11 4 5 3 2 11 9 11] | [0 10 7 9 11 4 5 3 2 11 9 11]
bellman_ford
matrix_chain_order: p: [0.751 0.684 0.867 0.506 0.414], initial_trace: [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]] trace | s:
[[0 0 0 0 0], [0 0 1 0 0], [0 0 0 2 0], [0 0 0 0 3], [0 0 0 0 0]], [[0 0 0 0 0], [0 0 1 1 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]] | [[0 0 0 0 0], [0 0 1 1 1], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]]
matrix_chain_order
kmp_matcher: string: [0 0 0 0 0 0 0 0 0 0 1 1], key: [2 3 1 0 3 0 2 1 2 3 1 0], initial_trace: 0 trace | s:
0, 0, 0, 1 | 2
kmp_matcher
bellman_ford: s: 15, A: [[0.631 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129 0 0.437 0 0 0 0 0 0.094 0 0.528 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.68 0 0 0 0 0 0 0 0 0 0 0 0 0.257 0.386 0], [0 0 0 0 0 0 0 0 0 0.325 0.448 0 0 0 0 0 0 0 0 0 0.491 0.09 0 0 0 0 0 0.834 0 0.626 0], [0 0 0 0.669 0 0.43 0.266 0 0 0.582 0 0 0.687 ...
[0 15 2 3 4 15 6 7 8 15 15 11 12 13 14 15 16 15 15 15 15 15 22 23 24 25 26 27 28 29 30], [18 15 9 5 18 15 18 5 9 15 15 5 19 13 18 15 21 5 15 15 15 9 19 9 20 21 9 27 9 21 18], [26 15 9 5 18 15 18 5 9 15 15 5 21 8 18 15 21 5 15 15 15 9 19 9 20 8 9 25 9 21 18], [26 15 9 5 18 15 18 5 9 15 15 5 21 8 18 15 21 5 15 15 15 9 19...
bellman_ford
dijkstra: s: 18, A: [[0.267 0 0 0 0 0.289 0 0 0 0 0 0.535 0.403 0 0 0 0.142 0 0], [0 0.388 0 0 0.216 0 0 0.336 0.473 0 0 0.161 0 0.818 0 0 0 0 0], [0 0 0.861 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.47 0], [0 0 0 0 0.625 0 0 0 0 0 0 0.365 0 0 0 0.729 0 0 0], [0 0.216 0 0.625 0 0 0.264 0.361 0.39 0 0 0 0.121 0 0 0 0.231 0 0], [0.2...
[0 1 2 3 4 5 6 7 8 9 10 18 12 13 18 15 16 18 18], [0 1 2 3 4 5 6 7 14 9 14 18 12 14 18 15 16 18 18], [11 11 2 11 4 5 11 7 14 11 14 18 12 14 18 11 16 18 18], [11 11 17 11 4 5 11 7 14 11 14 18 17 14 18 11 16 18 18], [11 11 17 11 6 5 11 6 14 11 14 18 17 14 18 11 6 18 18], [11 11 17 11 6 5 11 6 15 11 14 18 17 14 18 11 6 18...
dijkstra
find_maximum_subarray_kadane: key: [0.676 -0.105 -0.454 0.314 0.844 0.916 -0.364 -0.683 0.514 0.74 -0.971], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 0), (0, 0), (0, 4), (0, 5), (0, 5), (0, 5), (0, 5), (0, 9) | (0, 9)
find_maximum_subarray_kadane
lcs_length: string: [0 0 0 1 1], key: [0 0 3 0 2], initial_trace: [[-1 -1 -1 0 2], [-1 -1 -1 0 0], [-1 -1 -1 1 0], [-1 -1 -1 -1 -1], [-1 -1 -1 -1 -1]] trace | b:
| [[-1 -1 -1 0 2], [-1 -1 -1 0 1], [-1 -1 -1 1 1], [-1 -1 -1 -1 -1], [-1 -1 -1 -1 -1]]
lcs_length
kmp_matcher: string: [0 0 0 0 1], key: [1 3 2 0 1], initial_trace: 0 trace | s:
| 0
kmp_matcher
minimum: key: [0.039 0.654 0.196 0.907 0.284 0.902 0.893 0.777 0.777 0.596 0.171 0.177 0.538 0.532 0.685 0.286 0.217 0.38 0.655 0.606 0.786 0.627 0.96 0.078 0.01 0.115 0.81 0.777], initial_trace: 0 trace | min:
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24 | 24
minimum
jarvis_march: x: [0.511 0.288 0.132 0.208 1.79 -0.794 1.12 0.506 1.19 1.6 -0.338], y: [0.125 -1.39 1.19 0.212 -0.213 0.366 0.805 0.23 -0.861 -0.424 1.38], initial_trace: [0 0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0 0], [0 1 0 0 0 0 0 0 1 0...
jarvis_march
dfs: A: [[0 1 0 1 0], [0 0 1 0 0], [0 1 1 1 1], [0 1 1 0 1], [0 0 1 0 0]], initial_trace: [0 1 2 3 4] trace | pi:
[0 1 2 3 4], [0 0 2 3 4], [0 0 2 3 4], [0 0 1 3 4], [0 0 1 3 4], [0 0 1 2 4], [0 0 1 2 4], [0 0 1 2 3], [0 0 1 2 3], [0 0 1 2 3], [0 0 1 2 3], [0 0 1 2 3], [0 0 1 2 3] | [0 0 1 2 3]
dfs
insertion_sort: key: [0.626 0.218 0.891 0.306 0.585 0.532 0.082 0.389 0.179 0.18 0.364 0.55 0.813 0.343 0.755 0.934 0.529 0.592 0.192 0.615 0.882 0.641 0.616 0.925 0.083 0.289 0.676 0.74 0.353 0.139 0.27], initial_trace: [0.626 0.218 0.891 0.306 0.585 0.532 0.082 0.389 0.179 0.18 0.364 0.55 0.813 0.343 0.755 0.934 0.52...
[0.218 0.626 0.891 0.306 0.585 0.532 0.082 0.389 0.179 0.18 0.364 0.55 0.813 0.343 0.755 0.934 0.529 0.592 0.192 0.615 0.882 0.641 0.616 0.925 0.083 0.289 0.676 0.74 0.353 0.139 0.27], [0.218 0.626 0.891 0.306 0.585 0.532 0.082 0.389 0.179 0.18 0.364 0.55 0.813 0.343 0.755 0.934 0.529 0.592 0.192 0.615 0.882 0.641 0.61...
insertion_sort
jarvis_march: x: [-1.11 -1.06 1.4 -0.546], y: [-0.992 -1.53 0.121 0.153], initial_trace: [0 0 0 0] trace | in_hull:
[0 1 0 0], [0 1 0 0], [0 1 0 0], [0 1 0 0], [0 1 0 0], [0 1 1 0], [0 1 1 0], [0 1 1 0], [0 1 1 0], [0 1 1 0], [0 1 1 1], [0 1 1 1], [0 1 1 1], [0 1 1 1], [0 1 1 1], [1 1 1 1], [1 1 1 1], [1 1 1 1], [1 1 1 1] | [1 1 1 1]
jarvis_march
find_maximum_subarray_kadane: key: [0.222 -0.789 -0.797 0.84 0.707 -0.489 0.424 -0.066 -0.744 0.851 -0.089 -0.793 -0.317 0.94 -0.956 0.124 0.303 0.163 -0.641], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 0), (3, 3), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4), (3, 4) | (3, 4)
find_maximum_subarray_kadane
insertion_sort: key: [0.931 0.167 0.765 0.351 0.935 0.157 0.736 0.855 0.029 0.023 0.262], initial_trace: [0.931 0.167 0.765 0.351 0.935 0.157 0.736 0.855 0.029 0.023 0.262] trace | pred:
[0.167 0.931 0.765 0.351 0.935 0.157 0.736 0.855 0.029 0.023 0.262], [0.167 0.765 0.931 0.351 0.935 0.157 0.736 0.855 0.029 0.023 0.262], [0.167 0.351 0.765 0.931 0.935 0.157 0.736 0.855 0.029 0.023 0.262], [0.167 0.351 0.765 0.931 0.935 0.157 0.736 0.855 0.029 0.023 0.262], [0.157 0.167 0.351 0.765 0.931 0.935 0.736 0...
insertion_sort
strongly_connected_components: A: [[1 0 0 0 0], [0 1 0 0 0], [0 1 1 0 0], [0 0 0 1 0], [0 0 0 0 0]], initial_trace: [0 1 2 3 4] trace | scc_id:
[0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3...
strongly_connected_components
mst_kruskal: A: [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0.383]], initial_trace: [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]] trace | in_mst:
| [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]]
mst_kruskal
mst_prim: s: 2, A: [[0.032 0 0 0 0 0 0.361 0 0 0 0 0.418], [0 0.224 0 0.45 0 0 0 0 0 0.478 0 0], [0 0 0.436 0.595 0.146 0.137 0.374 0 0.198 0.296 0 0], [0 0.45 0.595 0 0 0 0.162 0 0 0 0 0], [0 0 0.146 0 0 0 0 0.271 0 0 0.634 0], [0 0 0.137 0 0 0.282 0.359 0 0 0.687 0 0], [0.361 0 0.374 0.162 0 0.359 0 0 0 0.613 0.43 0]...
[0 1 2 2 2 2 2 7 2 2 10 11], [0 1 2 2 2 2 5 7 2 2 10 11], [0 1 2 2 2 2 5 4 2 2 4 11], [0 1 2 2 2 2 5 4 2 2 4 11], [0 1 2 2 2 2 5 4 2 2 4 7], [0 9 2 2 2 2 5 4 2 2 4 7], [6 9 2 6 2 2 5 4 2 2 6 7], [6 3 2 6 2 2 5 4 2 2 6 7], [6 3 2 6 2 2 5 4 2 2 6 0], [6 3 2 6 2 2 5 4 2 2 6 0], [6 3 2 6 2 2 5 4 2 2 6 0] | [6 3 2 6 2 2 5 4...
mst_prim
dfs: A: [[0 0 1 1], [1 1 0 1], [1 0 0 1], [1 0 0 0]], initial_trace: [0 1 2 3] trace | pi:
[0 1 2 3], [0 1 0 3], [0 1 0 3], [0 1 0 2], [0 1 0 2], [0 1 0 2], [0 1 0 2], [0 1 0 2], [0 1 0 2], [0 1 0 2] | [0 1 0 2]
dfs
kmp_matcher: string: [0 0 0 0 0 0 0 0 0 0 1 1], key: [3 1 1 1 2 2 1 3 1 0 1 3], initial_trace: 0 trace | s:
0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5 | 6
kmp_matcher
dijkstra: s: 2, A: [[0.032 0 0 0], [0 0.805 0.589 0], [0 0.589 0.743 0], [0 0 0 0]], initial_trace: [0 1 2 3] trace | pi:
[0 2 2 3] | [0 2 2 3]
dijkstra
bridges: A: [[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0]], initial_trace: [[0 -1 -1 -1 -1], [-1 0 -1 -1 -1], [-1 -1 0 -1 -1], [-1 -1 -1 0 -1], [-1 -1 -1 -1 0]] trace | is_bridge:
[[0 -1 -1 -1 -1], [-1 0 -1 -1 -1], [-1 -1 0 -1 -1], [-1 -1 -1 0 -1], [-1 -1 -1 -1 0]], [[0 -1 -1 -1 -1], [-1 0 -1 -1 -1], [-1 -1 0 -1 -1], [-1 -1 -1 0 -1], [-1 -1 -1 -1 0]], [[0 -1 -1 -1 -1], [-1 0 -1 -1 -1], [-1 -1 0 -1 -1], [-1 -1 -1 0 -1], [-1 -1 -1 -1 0]], [[0 -1 -1 -1 -1], [-1 0 -1 -1 -1], [-1 -1 0 -1 -1], [-1 -1 ...
bridges
articulation_points: A: [[1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0...
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
articulation_points
mst_prim: s: 17, A: [[0 0 0 0 0 0 0.849 0 0 0 0.475 0 0 0 0.385 0.339 0.032 0 0.615], [0 0 0.04 0 0 0.713 0 0 0.968 0 0.899 0 0 0 0 0 0.589 0.462 0], [0 0.04 0.163 0 0 0 0 0 0.669 0.71 0 0 0 0 0 0 0 0.11 0], [0 0 0 0 0.304 0.612 0.5 0.275 0 0 0.12 0.46 0 0 0.397 0.529 0.117 0 0], [0 0 0 0.304 0 0 0 0 0 0 0 0 0 0 0.647 ...
[0 17 17 3 4 5 6 7 8 9 17 17 12 13 14 17 16 17 17], [0 2 17 3 4 5 6 7 2 2 17 17 12 13 14 17 16 17 17], [0 2 17 3 4 1 6 7 2 2 17 17 12 13 14 17 1 17 17], [10 2 17 10 4 1 10 7 10 2 17 17 12 13 14 10 1 17 17], [10 2 17 10 3 3 10 3 10 2 17 3 12 13 3 10 3 17 17], [16 2 17 10 3 3 10 3 10 2 17 3 12 13 3 10 3 17 17], [16 2 17 ...
mst_prim
binary_search: key: [0.145 0.166 0.323 0.463 0.471 0.557 0.587 0.803 0.848 0.994], target: 0.564, initial_trace: (0, 9) trace | (low, high):
(5, 9), (5, 7), (5, 6) | (6, 6)
binary_search
naive_string_matcher: string: [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1], key: [0 2 0 3 1 0 3 0 2 3 1 3 2 3 1], initial_trace: 0 trace | s:
1, 1, 2, 3, 4, 5, 6, 7, 8, 8 | 8
naive_string_matcher
minimum: key: [0.316 0.693 0.774 0.565 0.001 0.652 0.294 0.62 0.438 0.697 0.708 0.108 0.025 0.016 0.454 0.542 0.363 0.207 0.515 0.436 0.749 0.78 0.893 0.003 0.773 0.543 0.507 0.519], initial_trace: 0 trace | min:
0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 | 4
minimum