question
stringlengths
65
3.42k
answer
stringlengths
3
5.8k
algo_name
stringclasses
30 values
kmp_matcher: string: [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1], key: [3 3 3 2 0 3 1 2 0 2 0 1 3 1 2], initial_trace: 0 trace | s:
0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4 | 5
kmp_matcher
mst_prim: s: 6, A: [[0 0.633 0 0.191 0.209 0 0 0.714 0.15 0 0 0 0 0.482 0 0 0.226 0 0.919 0 0 0.288 0], [0.633 0.659 0 0.826 0 0.166 0 0 0 0 0.699 0 0.281 0 0 0 0.728 0 0 0.606 0 0.405 0], [0 0 0 0 0 0 0 0 0 0 0.644 0 0 0 0 0.421 0 0 0 0.039 0.243 0 0.721], [0.191 0.826 0 0.83 0 0 0 0.682 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 6 12 13 14 15 16 6 6 19 20 21 22], [18 1 2 3 4 5 6 7 8 9 10 18 12 13 14 15 18 6 6 18 20 21 22], [18 1 2 3 4 5 6 7 11 9 10 18 12 13 14 15 18 6 6 18 11 21 11], [8 1 2 3 4 8 6 7 11 9 10 18 12 13 14 15 18 6 6 18 11 21 11], [8 0 2 0 0 8 6 0 11 9 10 18 12 0 14 15 0 6 6 18 11 0 11], [8 0 2 0 0 8 6 3 11...
mst_prim
dijkstra: s: 8, A: [[0.634 0.767 0 0 0 0 0.269 0 0 0.629 0 0 0 0 0], [0.767 0.821 0 0 0.271 0.593 0 0.645 0 0 0.692 0 0 0.157 0], [0 0 0.516 0 0 0 0.17 0 0 0 0 0 0 0 0.373], [0 0 0 0 0 0.708 0 0 0 0.032 0 0 0 0.671 0], [0 0.271 0 0 0.087 0 0.395 0 0 0 0 0.455 0 0.74 0], [0 0.593 0 0.708 0 0 0 0 0.19 0 0.6 0.123 0.116 0...
[0 1 2 3 4 8 6 7 8 8 10 11 12 13 14], [0 5 2 5 4 8 6 7 8 8 5 5 5 13 14], [0 5 2 5 4 8 6 7 8 8 5 5 5 12 14], [0 5 2 5 11 8 6 7 8 8 5 5 5 12 14], [0 5 2 5 11 8 4 7 8 8 5 5 5 12 14], [1 5 2 5 11 8 4 1 8 8 5 5 5 12 14], [1 5 2 5 11 8 4 1 8 8 5 5 5 12 14], [1 5 2 5 11 8 4 1 8 8 5 5 5 12 13], [1 5 2 5 11 8 4 1 8 8 5 5 5 12 1...
dijkstra
segments_intersect: x: [0.988 0.67 0.169 0.35], y: [0.042 0.747 0.402 0.869] intersect:
0
segments_intersect
optimal_bst: p: [0.016 0.023 0.066 0.048 0.007 0.02 0.06 0.019 0.075 0.03 0], q: [0.095 0.086 0.067 0.046 0.069 0.004 0.047 0.035 0.057 0.066 0.062], 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 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 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 2 0 0 0 0 0 0 0], [0 0 0 0 3 0 0 0 0 0 0], [0 0 0 0 0 4 0 0 0 0 0], [0 0 0 0 0 0 5 0 0 0 0], [0 0 0 0 0 0 0 6 0 0 0], [0 0 0 0 0 0 0 0 7 0 0], [0 0 0 0 0 0 0 0 0 8 0], [0 0 0 0 0 0 0 0 0 0 9], [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 2 0 0 0 0 ...
optimal_bst
quickselect: key: [0.904 0.97 0.654 0.191 0.793], initial_trace: 4 trace | pivot:
4, 4, 4 | 4
quickselect
bellman_ford: s: 5, A: [[0 0 0 0 0 0.137 0 0 0 0 0 0 0.499 0 0 0 0 0 0], [0 0 0.215 0.172 0 0 0 0.637 0 0 0 0 0 0 0 0 0.776 0 0.531], [0 0.215 0.546 0.17 0 0.445 0.691 0 0 0 0 0.289 0.472 0 0 0.381 0 0 0], [0 0.172 0.17 0.93 0 0.792 0 0.86 0 0 0.569 0 0 0 0 0 0.257 0 0], [0 0 0 0 0 0 0.296 0 0.166 0 0 0 0 0.465 0 0.34 ...
[5 1 5 5 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], [5 2 5 2 4 5 2 3 8 9 3 2 0 13 14 2 3 17 18], [5 2 5 2 15 5 2 1 12 16 11 2 0 11 16 2 3 12 1], [5 2 5 2 15 5 10 1 4 16 11 2 0 11 17 2 3 13 1] | [5 2 5 2 15 5 10 1 9 16 11 2 0 11 17 2 3 13 1]
bellman_ford
segments_intersect: x: [0.065 0.835 0.693 0.49], y: [0.992 0.265 0.842 0.443] intersect:
1
segments_intersect
kmp_matcher: string: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1], key: [1 3 2 2 2 1 3 1 3 3 3 3 1 0 2 3 1 1 0 3 1 0 2], initial_trace: 0 trace | s:
0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10 | 11
kmp_matcher
topological_sort: A: [[0 0 1 0 1 0 0 1 1 0 0], [0 0 1 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], [1 0 1 1 1 0 1 1 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 1 0 1 0 0 0 0 1 0], [0 0 1 0 1 0 0 0 0 0 0], [1 0 1 1 1 0 0 0 0 0 0]], initial_trace: [0 1 2 ...
[0 1 2 3 4 5 6 7 8 9 10], 0, [0 1 2 3 4 5 6 7 8 9 10], 0, [0 1 2 3 4 5 6 7 8 9 10], 2, [0 1 2 3 4 5 6 7 8 9 10], 2, [0 1 2 3 2 5 6 7 8 9 10], 4, [0 1 2 3 2 5 6 7 8 9 10], 4, [0 1 2 3 2 5 6 4 8 9 10], 7, [0 1 2 3 2 5 6 4 8 9 10], 7, [0 1 2 3 2 5 6 4 8 9 10], 7, [0 7 2 3 2 5 6 4 8 9 10], 1, [0 7 2 3 2 5 6 4 8 9 10], 1, [...
topological_sort
dfs: A: [[1 1 1 1 0 0 0 1 1 1 1 0 1 0 0], [0 1 0 1 1 0 1 1 1 0 1 0 0 0 1], [0 0 1 0 0 1 0 0 0 1 0 0 0 0 1], [1 0 1 1 1 0 1 1 1 1 1 1 0 0 0], [0 1 1 1 1 1 1 0 1 0 1 1 0 1 1], [1 1 1 1 1 0 1 0 0 1 1 1 0 0 0], [0 0 0 1 0 1 1 0 1 0 1 0 1 0 1], [1 1 0 0 0 1 1 0 0 1 0 0 0 0 1], [1 0 1 0 1 0 1 0 1 1 1 1 0 1 1], [1 1 1 0 0 1 1...
[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 2 1 4 5 6 7 8 9 10 11 12 13 14], [0 0 2 1 4 5 6 7 8 9 10 11 12 13 14], [0 0 3 1 4 5 6 7 8 9 10 11 12 13 14], [0 0 3 1 4 5 6 7 8 9 10 11 12 13 14], [0 0 3 1 4 2 6 7 8 9 10 11 12 13 14], [0 0 3 1 4 2 6 7...
dfs
graham_scan: x: [0.458 1.27 0.923 0.844 0.735 0.123 -0.886 -0.924 0.459 0.917 1.81 -0.433 1 1.36 0.879], y: [1.55 -0.643 1.65 1.14 -0.946 1.96 -1.74 -1.65 -1.74 -1.39 0.569 -1.9 -0.067 -0.085 -0.011], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[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 1 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 0 0 0 1 1 0 1 0 1 0], [0 1 0 0 0 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 0 0 0 1 1 1 ...
graham_scan
find_maximum_subarray_kadane: key: [-0.156 -0.532 0.238 0.531], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (2, 2) | (2, 3)
find_maximum_subarray_kadane
bfs: s: 1, A: [[1 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
lcs_length: string: [0 0 1 1], key: [2 0 1 3], initial_trace: [[-1 -1 1 1], [-1 -1 1 0], [-1 -1 -1 -1], [-1 -1 -1 -1]] trace | b:
| [[-1 -1 1 1], [-1 -1 1 1], [-1 -1 -1 -1], [-1 -1 -1 -1]]
lcs_length
segments_intersect: x: [0.93 0.575 0.096 0.738], y: [0.037 0.476 0.517 0.352] intersect:
1
segments_intersect
optimal_bst: p: [0.114 0.071 0.071 0.044 0.049 0], q: [0.028 0.161 0.174 0.067 0.022 0.198], 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 2 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 1 0], [0 0 0 2 2 4], [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 1 2], [0 0 0 2 2 4]...
optimal_bst
bfs: s: 21, A: [[1 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1], [0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 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], [1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0], [1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0], [0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0], [0 0 0 0 1...
[0 1 2 3 4 5 6 21 21 9 10 11 12 13 21 15 21 17 21 21 20 21 22], [8 14 2 7 7 16 6 21 21 7 7 16 8 13 21 7 21 17 21 21 16 21 22] | [8 14 4 7 7 16 4 21 21 7 7 16 8 1 21 7 21 4 21 21 16 21 0]
bfs
bellman_ford: s: 3, A: [[0 0 0.372 0], [0 0 0.533 0], [0.372 0.533 0.038 0], [0 0 0 0]], initial_trace: [0 1 2 3] trace | pi:
| [0 1 2 3]
bellman_ford
optimal_bst: p: [0.182 0.025 0.222 0.005 0], q: [0.088 0.157 0.141 0.174 0.008], 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 | root:
[[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 2 0], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]], [[0 0 0 2 0], [0 0 1 2 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]] | [[0 0 0 2 2], [0 0 1 2 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]]
optimal_bst
bellman_ford: s: 12, A: [[0.465 0.096 0 0 0 0 0 0 0 0.748 0 0 0 0.314 0], [0.096 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0.036 0 0.236 0 0 0 0 0 0 0 0.241 0 0.087], [0 0 0 0 0.553 0 0 0.557 0 0 0 0 0 0 0], [0 0 0.236 0.553 0.487 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0.322 0 0 0 0 0.721 0], [0 0 0 0 0 0 0.906 0 0 0 0.678 0 ...
[0 1 12 3 4 5 6 7 12 9 12 11 12 13 14], [0 1 12 3 2 8 10 7 12 9 12 8 12 8 2], [13 1 12 4 2 8 10 14 12 9 12 8 12 8 2] | [13 0 12 4 2 8 10 14 12 0 12 8 12 8 2]
bellman_ford
find_maximum_subarray_kadane: key: [0.926 0.709 -0.182 0.726 0.798], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 1), (0, 1), (0, 3) | (0, 4)
find_maximum_subarray_kadane
mst_prim: s: 1, A: [[0.895 0 0 0 0.551 0.217 0 0 0 0 0 0.315], [0 0.595 0 0 0 0.143 0 0 0 0 0 0], [0 0 0.535 0 0.711 0.506 0.738 0.562 0 0 0.305 0], [0 0 0 0.36 0 0 0.539 0 0.624 0 0 0], [0.551 0 0.711 0 0.267 0 0 0 0 0 0 0], [0.217 0.143 0.506 0 0 0 0 0 0 0 0 0], [0 0 0.738 0.539 0 0 0 0.265 0.371 0 0 0], [0 0 0.562 0...
[0 1 2 3 4 1 6 7 8 9 10 11], [5 1 5 3 4 1 6 7 8 9 10 11], [5 1 5 3 0 1 6 7 8 9 10 0], [5 1 5 3 0 1 6 7 8 9 10 0], [5 1 5 3 0 1 2 2 8 9 2 0], [5 1 5 3 0 1 2 2 8 10 2 0], [5 1 5 3 0 1 2 2 8 10 2 0], [5 1 5 3 0 1 2 2 8 10 2 0], [5 1 5 3 0 1 7 2 8 10 2 0], [5 1 5 6 0 1 7 2 6 10 2 0], [5 1 5 6 0 1 7 2 6 10 2 0] | [5 1 5 6 0...
mst_prim
minimum: key: [0.9 0.495 0.926 0.595 0.074 0.373 0.211 0.23 0.704 0.839 0.13 0.53], initial_trace: 0 trace | min:
1, 1, 1, 4, 4, 4, 4, 4, 4, 4 | 4
minimum
binary_search: key: [0.082 0.326 0.448 0.744], target: 0.673, initial_trace: (0, 3) trace | (low, high):
(2, 3) | (3, 3)
binary_search
dijkstra: s: 0, A: [[0.112 0 0 0 0 0 0 0 0 0 0.392 0], [0 0 0 0 0.674 0 0 0 0 0.701 0 0.591], [0 0 0 0 0 0 0.116 0 0 0 0 0], [0 0 0 0.341 0 0 0 0.615 0.529 0 0 0.703], [0 0.674 0 0 0.334 0 0 0.385 0 0 0 0.209], [0 0 0 0 0 0 0.596 0 0 0 0 0], [0 0 0.116 0 0 0.596 0 0.362 0 0 0 0.634], [0 0 0 0.615 0.385 0 0.362 0.571 0 ...
[0 1 2 3 4 5 6 7 8 9 0 11], [0 1 2 3 4 5 6 7 8 10 0 11], [0 9 2 3 4 5 6 9 8 10 0 9], [0 9 2 11 11 5 11 9 11 10 0 9], [0 9 2 11 11 5 11 9 11 10 0 9], [0 9 2 11 11 5 11 9 11 10 0 9], [0 9 2 11 11 5 11 9 11 10 0 9], [0 9 2 11 11 5 11 9 11 10 0 9], [0 9 6 11 11 6 11 9 11 10 0 9], [0 9 6 11 11 6 11 9 11 10 0 9], [0 9 6 11 1...
dijkstra
heapsort: key: [0.029 0.82 0.945 0.236 0.322], initial_trace: [0.029 0.82 0.945 0.236 0.322] trace | pred:
[0.029 0.82 0.945 0.236 0.322], [0.029 0.82 0.945 0.236 0.322], [0.029 0.82 0.945 0.236 0.322], [0.029 0.82 0.945 0.236 0.322], [0.945 0.82 0.029 0.236 0.322], [0.945 0.82 0.029 0.236 0.322], [0.322 0.82 0.029 0.236 0.945], [0.82 0.322 0.029 0.236 0.945], [0.82 0.322 0.029 0.236 0.945], [0.236 0.322 0.029 0.82 0.945], ...
heapsort
task_scheduling: d: [19 9 16 19 1 13 10 18 2 16 5 21 12 15 13 3 4 23 20 22 15 15 6], w: [0.533 0.743 0.657 0.541 0.833 0.077 0.015 0.738 0.604 0.322 0.914 0.458 0.047 0.504 0.571 0.001 0.575 0.803 0.41 0.208 0.375 0.989 0.189], 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 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 1 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 1 0 0 0 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 1 0 0 0 1 0], [0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0], [0 1 1 0 0 0 0 1 0 0 1 0 0...
task_scheduling
articulation_points: A: [[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]], initial_trace: [0 0 0 0 0] trace | is_cut:
[0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 0 0 0 0], [0 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
minimum: key: [0.637 0.379 0.875 0.568 0.414 0.402 0.702 0.418 0.662 0.047], initial_trace: 0 trace | min:
1, 1, 1, 1, 1, 1, 1, 1 | 9
minimum
graham_scan: x: [1.32 -0.659 -0.035 -1.44], y: [-0.931 0.806 -0.473 1.17], 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
matrix_chain_order: p: [0.379 0.238 0.353 0.24], initial_trace: [[0 0 0 0], [0 0 0 0], [0 0 0 0], [0 0 0 0]] trace | s:
[[0 0 0 0], [0 0 1 0], [0 0 0 2], [0 0 0 0]] | [[0 0 0 0], [0 0 1 1], [0 0 0 2], [0 0 0 0]]
matrix_chain_order
strongly_connected_components: A: [[1 0 0 0 0 0 0 0 1 0 0 0], [0 1 0 0 0 0 0 0 0 0 1 0], [0 0 1 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 1 0 0], [0 0 0 0 0 0 1 0 0 0 0 1], [0 0 0 0 0 1 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 1 1 1 0 0], [1 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 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [0 1 2 3 4 5 6 7 8 9 10 11], [...
strongly_connected_components
lcs_length: string: [0 0 0 0 0 1 1 1 1 1], key: [1 2 2 0 0 2 0 1 1 0], initial_trace: [[-1 -1 -1 -1 -1 1 1 0 0 2], [-1 -1 -1 -1 -1 0 0 0 0 0], [-1 -1 -1 -1 -1 0 0 0 0 0], [-1 -1 -1 -1 -1 1 0 0 0 0], [-1 -1 -1 -1 -1 1 0 0 0 0], [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1], [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1], [-1 -1 -1 -1 -1 -1 -1 -1 -1...
[[-1 -1 -1 -1 -1 1 1 0 0 2], [-1 -1 -1 -1 -1 0 2 1 1 1], [-1 -1 -1 -1 -1 0 2 1 1 1], [-1 -1 -1 -1 -1 1 0 1 1 0], [-1 -1 -1 -1 -1 1 0 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 -1 -1 -1 -1 -1 -1 -1], [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1], [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1]], [[-1 -1 -1 -1...
lcs_length
insertion_sort: key: [0.225 0.999 0.276 0.475 0.202 0.814 0.313 0.127 0.631 0.879 0.786 0.326 0.253 0.688 0.368 0.976 0.405 0.768 0.38 0.8 0.817 0.051 0.942], initial_trace: [0.225 0.999 0.276 0.475 0.202 0.814 0.313 0.127 0.631 0.879 0.786 0.326 0.253 0.688 0.368 0.976 0.405 0.768 0.38 0.8 0.817 0.051 0.942] trace | p...
[0.225 0.999 0.276 0.475 0.202 0.814 0.313 0.127 0.631 0.879 0.786 0.326 0.253 0.688 0.368 0.976 0.405 0.768 0.38 0.8 0.817 0.051 0.942], [0.225 0.276 0.999 0.475 0.202 0.814 0.313 0.127 0.631 0.879 0.786 0.326 0.253 0.688 0.368 0.976 0.405 0.768 0.38 0.8 0.817 0.051 0.942], [0.225 0.276 0.475 0.999 0.202 0.814 0.313 0...
insertion_sort
insertion_sort: key: [0.335 0.464 0.172 0.069 0.553 0.467 0.739 0.871 0.332 0.778], initial_trace: [0.335 0.464 0.172 0.069 0.553 0.467 0.739 0.871 0.332 0.778] trace | pred:
[0.335 0.464 0.172 0.069 0.553 0.467 0.739 0.871 0.332 0.778], [0.172 0.335 0.464 0.069 0.553 0.467 0.739 0.871 0.332 0.778], [0.069 0.172 0.335 0.464 0.553 0.467 0.739 0.871 0.332 0.778], [0.069 0.172 0.335 0.464 0.553 0.467 0.739 0.871 0.332 0.778], [0.069 0.172 0.335 0.464 0.467 0.553 0.739 0.871 0.332 0.778], [0.06...
insertion_sort
binary_search: key: [0.015 0.061 0.124 0.277 0.292 0.33 0.413 0.424 0.435 0.562 0.566 0.591 0.617 0.685 0.718 0.734 0.738 0.837 0.965], target: 0.593, initial_trace: (0, 18) trace | (low, high):
(10, 18), (10, 14), (10, 12) | (12, 12)
binary_search
bfs: s: 23, A: [[1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 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 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1], [1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0], [0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1], [1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0...
[0 1 23 23 4 23 6 7 23 23 10 11 12 13 23 15 16 23 18 19 20 23 22 23 23 25 26 27 28 29 30], [2 8 23 23 2 23 3 3 23 23 9 24 3 2 23 3 8 23 2 5 9 23 9 23 23 5 5 8 28 5 3] | [2 8 23 23 2 23 3 3 23 23 9 24 3 2 23 3 8 23 2 5 9 23 9 23 23 5 5 8 1 5 3]
bfs
minimum: key: [0.348 0.499 0.608 0.602 0.182 0.223 0.326 0.746 0.301 0.136 0.063 0.136 0.939 0.428 0.637 0.523 0.636 0.712 0.199 0.176 0.891 0.38 0.304 0.307 0.47 0.751 0.577 0.003], initial_trace: 0 trace | min:
0, 0, 0, 4, 4, 4, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 | 27
minimum
optimal_bst: p: [0.063 0.203 0.237 0.158 0], q: [0.095 0.045 0.051 0.019 0.13], 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 | root:
[[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 1 0 0], [0 0 1 2 0], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]], [[0 0 1 1 0], [0 0 1 2 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]] | [[0 0 1 1 2], [0 0 1 2 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]]
optimal_bst
binary_search: key: [0.442 0.602 0.81 0.838], target: 0.245, initial_trace: (0, 3) trace | (low, high):
(0, 1) | (0, 0)
binary_search
naive_string_matcher: string: [0 0 0 0 0 0 0 0 0 1 1], key: [0 3 3 2 0 0 3 2 3 3 2], initial_trace: 0 trace | s:
1, 1, 2 | 2
naive_string_matcher
jarvis_march: x: [-0.442 1.25 1.91 1.42 0.322 0.111 0.396 -1.52 0.993 -0.597 0.343 -1.79], y: [0.03 0.073 0.068 -1.31 1.31 -1.33 1.26 -0.967 0.261 1.42 -1.31 -0.597], 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
quickselect: key: [0.55 0.914 0.954 0.193 0.996 0.134 0.51 0.089 0.261 0.434 0.615], initial_trace: 10 trace | pivot:
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 0, 0 | 6
quickselect
dag_shortest_paths: s: 2, A: [[0 0 0 0 0.813], [0 0 0 0 0], [0.816 0 0 0 0.173], [0 0 0 0 0], [0 0.883 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 2 3 4], [0 1 2 3 4], [2 1 2 3 2], [2 1 2 3 2] | [2 4 2 3 2]
dag_shortest_paths
bfs: s: 13, A: [[1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0], [0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0], [1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0], [0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1], [0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0], [0 0 0 0 ...
[13 1 13 3 13 5 13 7 8 13 10 11 12 13 14 13 16 17 18 19 13 13 22 23 13 25 26 27], [13 9 13 3 13 15 13 9 20 13 4 2 6 13 0 13 21 2 2 4 13 13 0 23 13 0 0 27] | [13 9 13 7 13 15 13 9 20 13 4 2 6 13 0 13 21 2 2 4 13 13 0 1 13 0 0 7]
bfs
minimum: key: [0.955 0.68 0.258 0.176 0.862 0.706 0.92 0.815 0.947 0.298 0.91 0.228 0.108 0.345 0.156 0.276 0.988 0.528 0.668], initial_trace: 0 trace | min:
1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12 | 12
minimum
bellman_ford: s: 1, A: [[0 0.136 0 0 0 0 0 0.272 0 0.362 0 0 0 0 0.331 0.549 0 0 0], [0.136 0.859 0 0 0 0.307 0 0 0.412 0 0 0 0.577 0 0.046 0 0 0.87 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461 0 0 0], [0 0 0 0 0 0 0.53 0 0 0 0.824 0.46 0 0 0 0.366 0.557 0 0], [0 0 0 0 0.478 0 0 0 0 0 0 0 0 0.48 0 0 0 0.694 0], [0 0.307 0 ...
[1 1 2 3 4 1 6 7 1 9 10 11 1 13 1 15 16 1 18], [1 1 2 3 17 1 14 0 1 14 14 12 1 14 1 0 5 1 12], [1 1 15 6 13 1 14 0 1 14 14 7 1 14 1 13 13 13 12] | [1 1 15 6 13 1 14 0 1 14 14 7 1 14 1 13 13 13 12]
bellman_ford
topological_sort: A: [[0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1], [0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 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 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0], [0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0], [0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1], [0 1...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], 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, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], 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, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22]...
topological_sort
binary_search: key: [0.084 0.1 0.109 0.118 0.156 0.16 0.18 0.223 0.24 0.345 0.409 0.423 0.465 0.501 0.527 0.627 0.683 0.898 0.964], target: 0.146, initial_trace: (0, 18) trace | (low, high):
(0, 9), (0, 4), (3, 4) | (4, 4)
binary_search
optimal_bst: p: [0.146 0.08 0.052 0.09 0.118 0], q: [0.096 0.14 0.07 0.004 0.11 0.093], 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 0 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 0 0 0 0], [0 0 1 1 1 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 0 0 1 0], [0 0 1 1 1 3], [0 0 0 2 3 3]...
optimal_bst
dfs: A: [[0 1 1 1 1], [1 1 0 0 1], [0 0 1 1 0], [1 0 0 1 1], [0 1 0 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 2 3 1], [0 0 2 3 1], [0 0 2 3 1], [0 0 2 3 1], [0 0 0 3 1], [0 0 0 3 1], [0 0 0 2 1], [0 0 0 2 1], [0 0 0 2 1], [0 0 0 2 1] | [0 0 0 2 1]
dfs
minimum: key: [0.898 0.565 0.892 0.475 0.964], initial_trace: 0 trace | min:
1, 1, 3 | 3
minimum
graham_scan: x: [0.311 0.767 -0.061 1.73 0.013 1.85 -0.18 1.99 -1.57 0.558 -0.189 -0.97 1.19 0.496 -1.38 0.934 0.453 0.016 1.06 0.739 -1.57 1.1 0.607 1.1 -0.029 0.062 -1.36 -0.294], y: [0.879 -1.08 1.14 -0.482 -0.406 0.483 0.86 -0.057 0.335 0.639 0.695 0.54 1.59 0.157 -1.22 1.72 0.657 0.121 -0.917 1.47 0.779 -0.83 1.6 ...
[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 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 0 0 0 0 0 0 1 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 1 0 0 1 0 0 1 0 0 0], [0 1 0 0 0 0 0 0 0 0 0 0 ...
graham_scan
bfs: s: 9, A: [[1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0], [0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0], [0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 ...
[9 1 2 3 4 5 9 9 8 9 10 11 9 13 14 9 16 9 18 19 20 21 22 23 24 25 26 27 28 29 30], [9 12 2 6 7 0 9 9 6 9 7 0 9 15 7 9 7 9 0 6 7 0 17 6 6 0 6 12 15 0 7] | [9 12 10 6 7 0 9 9 6 9 7 0 9 15 7 9 7 9 0 6 7 0 17 6 6 0 6 12 15 0 7]
bfs
task_scheduling: d: [5 2 3 1 7 9 7 10 2 5 11], w: [0.906 0.908 0.368 0.861 0.695 0.759 0.383 0.403 0.846 0.531 0.741], initial_trace: [0 0 0 0 0 0 0 0 0 0 0] trace | selected:
[0 1 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 1 0 0 0 0 0], [1 1 0 0 0 1 0 0 0 0 1], [1 1 0 0 1 1 0 0 0 0 1], [1 1 0 0 1 1 0 0 0 0 1], [1 1 0 0 1 1 0 1 0 0 1], [1 1 0 0 1 1 1 1 0 0 1] | [1 1 0 0 1 1 1 1 0 0 1]
task_scheduling
segments_intersect: x: [0.98 0.07 0.848 0.754], y: [0.728 0.727 0.765 0.421] intersect:
1
segments_intersect
find_maximum_subarray_kadane: key: [0.092 -0.737 -0.161 0.562 0.709 -0.844 0.954 -0.919 -0.377 0.541 -0.295 0.143 0.687 -0.282 0.015 -0.278 -0.987 -0.611 -0.591], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 0), (3, 3), (3, 4), (3, 4), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6), (3, 6) | (3, 6)
find_maximum_subarray_kadane
bellman_ford: s: 4, A: [[0.5 0.218 0 0.173 0 0 0 0.348 0 0], [0.218 0 0 0 0 0 0.292 0 0 0.602], [0 0 0 0 0 0.212 0 0 0 0], [0.173 0 0 0.735 0 0 0 0 0.601 0], [0 0 0 0 0.827 0 0 0 0 0], [0 0 0.212 0 0 0.305 0.462 0 0 0], [0 0.292 0 0 0 0.462 0.998 0 0 0.613], [0.348 0 0 0 0 0 0 0.65 0 0], [0 0 0 0.601 0 0 0 0 0 0], [0 0...
| [0 1 2 3 4 5 6 7 8 9]
bellman_ford
naive_string_matcher: string: [0 0 0 0 0 0 0 0 0 1 1], key: [2 0 1 2 0 0 0 2 3 1 2], initial_trace: 0 trace | s:
1, 2 | 2
naive_string_matcher
dijkstra: s: 15, A: [[0 0.327 0 0 0.117 0 0 0 0 0.585 0 0 0.741 0 0 0 0 0 0 0 0 0 0], [0.327 0 0 0 0 0 0 0.543 0 0 0 0 0 0 0 0.225 0 0 0 0 0 0 0], [0 0 0.656 0 0.172 0 0 0 0 0.403 0 0.295 0 0.436 0 0 0 0.281 0 0.198 0.544 0.718 0.633], [0 0 0 0 0 0 0 0 0.323 0 0 0.392 0 0 0.859 0 0 0 0.368 0.515 0 0 0], [0.117 0 0.172 ...
[0 15 2 3 4 5 6 7 8 9 10 11 15 13 15 15 16 17 18 15 20 15 22], [1 15 2 3 4 5 6 1 8 9 10 11 15 13 15 15 16 17 18 15 20 15 22], [1 15 2 14 4 5 6 1 8 9 10 11 15 13 15 15 16 14 18 15 14 15 22], [1 15 19 19 19 19 6 1 19 9 10 11 15 13 15 15 19 14 18 15 14 15 22], [1 15 19 19 19 12 6 1 19 9 10 11 15 13 15 15 19 14 12 15 14 15...
dijkstra
kmp_matcher: string: [0 0 0 1], key: [0 0 3 0], initial_trace: 0 trace | s:
| 0
kmp_matcher
heapsort: key: [0.221 0.645 0.874 0.103 0.158], initial_trace: [0.221 0.645 0.874 0.103 0.158] trace | pred:
[0.221 0.645 0.874 0.103 0.158], [0.221 0.645 0.874 0.103 0.158], [0.221 0.645 0.874 0.103 0.158], [0.221 0.645 0.874 0.103 0.158], [0.874 0.645 0.221 0.103 0.158], [0.874 0.645 0.221 0.103 0.158], [0.158 0.645 0.221 0.103 0.874], [0.645 0.158 0.221 0.103 0.874], [0.645 0.158 0.221 0.103 0.874], [0.103 0.158 0.221 0.64...
heapsort
bellman_ford: s: 8, A: [[0.192 0 0 0.144 0 0 0 0 0 0 0 0.477 0 0.745 0], [0 0 0 0.151 0 0 0.549 0.185 0 0 0 0 0 0 0], [0 0 0 0 0 0.421 0 0 0 0 0 0 0.105 0.786 0], [0.144 0.151 0 0 0.551 0.871 0 0 0 0 0 0 0.533 0 0], [0 0 0 0.551 0.933 0.259 0 0 0 0 0.345 0 0 0 0.2], [0 0 0.421 0.871 0.259 0.113 0.135 0 0.295 0 0.923 0 ...
[0 1 2 3 4 8 6 7 8 9 8 11 12 13 14], [0 1 5 5 5 8 5 7 8 10 8 11 5 10 10], [3 6 5 4 5 8 5 9 8 10 8 6 6 10 10] | [3 6 5 4 5 8 5 1 8 10 8 6 6 10 10]
bellman_ford
bellman_ford: s: 7, A: [[0.929 0 0.475 0.409 0.265 0 0 0 0 0.424 0], [0 0.268 0.794 0 0 0 0 0 0.425 0 0], [0.475 0.794 0.359 0 0 0 0.3 0 0.211 0 0], [0.409 0 0 0.069 0 0 0 0 0 0 0], [0.265 0 0 0 0 0.722 0.53 0 0.444 0 0], [0 0 0 0 0.722 0.996 0 0 0 0.435 0], [0 0 0.3 0 0.53 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0.4...
| [0 1 2 3 4 5 6 7 8 9 10]
bellman_ford
naive_string_matcher: string: [0 0 0 0 1], key: [1 3 2 2 2], initial_trace: 0 trace | s:
1 | 2
naive_string_matcher
task_scheduling: d: [5 2 4 2 4], w: [0.832 0.285 0.278 0.819 0.72], initial_trace: [0 0 0 0 0] trace | selected:
[1 0 0 0 0], [1 0 0 1 0], [1 0 0 1 1], [1 0 0 1 1] | [1 0 1 1 1]
task_scheduling
bfs: s: 5, A: [[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0], [0 1 1 0 0 0 0 1 0 0 0 0 1 1 0], [0 1 0 0 0 0 1 0 0 0 0 1 0 0 0], [1 0 0 0 0 0 1 0 0 1 0 1 0 0 1], [0 0 0 0 1 0 1 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 1 1 1 0 1 0 0 0 0 1 0 0 0], [0 1 0 0 0 0 0 1 0 0 0 1 1 1 0], [0 0 0 0 0 0 0 0 0 1 0 0 0 1 1], [0 0 0 1...
[0 1 2 3 4 5 6 7 8 9 10 11 5 13 14], [0 12 2 3 4 5 6 12 8 12 10 11 5 13 14], [0 12 1 9 4 5 6 12 9 12 10 7 5 1 14], [3 12 1 9 4 5 2 12 9 12 10 7 5 1 3], [3 12 1 9 6 5 2 12 9 12 10 7 5 1 3] | [3 12 1 9 6 5 2 12 9 12 4 7 5 1 3]
bfs
bfs: s: 21, A: [[1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0], [1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1], [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0], [0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0], [0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1], [0 0 0 0 0...
[0 1 2 3 4 21 6 21 8 9 10 11 12 21 14 15 16 21 21 19 20 21 22], [13 1 2 13 13 21 17 21 5 7 18 5 17 21 13 15 5 21 21 13 20 21 5] | [13 0 12 13 13 21 17 21 5 7 18 5 17 21 13 0 5 21 21 13 8 21 5]
bfs
quickselect: key: [0.9 0.468 0.199 0.062 0.557 0.522 0.23 0.162 0.804 0.445 0.856 0.591 0.437 0.005 0.178 0.747 0.284 0.858 0.225 0.809 0.979 0.343 0.052], initial_trace: 22 trace | pivot:
22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 12, 12 | 9
quickselect
graham_scan: x: [-1.5 -0.702 0.495 0.321 0.427 1.05 -1.55 0.395 0.321 -1.23 -0.262 -0.954 1.6 0.08 -0.32 0.938 -1.16 0.402 0.206 -1.17 -0.764 0.591 0.167 1.36 1.14 -1.65 -0.604 0.074 -0.077 -0.452 0.699], y: [0.399 -1.28 1.79 -0.809 -0.694 -0.769 0.435 -1.61 -0.43 1.5 1.85 0.12 0.763 -0.299 1.88 0.748 -1.02 -1.17 -1.96...
[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 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 0 0 0 1 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 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...
graham_scan
quickselect: key: [0.324 0.107 0.455 0.244 0.514 0.751 0.269 0.444 0.299 0.59 0.789 0.909 0.863 0.337 0.597 0.345 0.881 0.546 0.951 0.465 0.353 0.223 0.976 0.593 0.506 0.392 0.034 0.861 0.073 0.768 0.152], initial_trace: 30 trace | pivot:
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,...
quickselect
mst_prim: s: 1, A: [[0 0 0 0 0 0 0.372 0.135 0 0], [0 0.545 0 0 0.577 0 0.579 0.4 0 0], [0 0 0.933 0.452 0 0 0 0 0.429 0.514], [0 0 0.452 0 0 0 0.281 0 0.4 0], [0 0.577 0 0 0.377 0.364 0 0 0.058 0], [0 0 0 0 0.364 0 0 0 0 0], [0.372 0.579 0 0.281 0 0 0.237 0 0.549 0.628], [0.135 0.4 0 0 0 0 0 0 0.632 0], [0 0 0.429 0.4...
[0 1 2 3 1 5 1 1 8 9], [7 1 2 3 1 5 1 1 7 9], [7 1 2 3 1 5 0 1 7 9], [7 1 2 6 1 5 0 1 6 6], [7 1 3 6 1 5 0 1 3 6], [7 1 8 6 8 5 0 1 3 8], [7 1 8 6 8 4 0 1 3 8], [7 1 8 6 8 4 0 1 3 8], [7 1 8 6 8 4 0 1 3 8] | [7 1 8 6 8 4 0 1 3 8]
mst_prim
kmp_matcher: string: [0 0 0 0 0 0 0 0 0 0 1 1], key: [3 0 2 3 2 3 1 2 0 0 3 0], initial_trace: 0 trace | s:
0, 0 | 0
kmp_matcher
topological_sort: A: [[0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0], [0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0], [0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1], [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 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1], [0 1...
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], 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, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], 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, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22]...
topological_sort
minimum: key: [0.709 0.891 0.017 0.227 0.167 0.833 0.062 0.789 0.824 0.197 0.682 0.942 0.293 0.694 0.965 0.263 0.977 0.367 0.834 0.702 0.956 0.032 0.865 0.273 0.013 0.83 0.54 0.369 0.066 0.854 0.319], initial_trace: 0 trace | min:
0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 24, 24, 24, 24, 24, 24 | 24
minimum
graham_scan: x: [-0.693 1.09 -0.445 1.45 -0.319 1.58 -0.73 0.242 -0.099 -1.45 1.25 0.07 -0.719 -1.1 -1.43 0.761 -0.859 -1.41 -0.301 1.15 -0.045 -1.51 -0.508 0.04 0.183 -0.256 -1.25 -0.237], y: [-1.2 0.877 0.081 0.266 1.54 -0.952 0.219 -1.35 1.75 -0.332 0.879 -1.82 1.38 0.85 0.301 -1.18 -0.716 -0.318 -1.71 -0.231 -0.638...
[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 1 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 1 0 0 0 0 0 1 0 0 0 1 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 0 0 0 0 0 0 0 0], [0 0 0 0 0 1 0 0 0 0 0 1 ...
graham_scan
naive_string_matcher: string: [0 0 0 0 0 0 0 0 1 1], key: [3 1 1 2 3 2 1 3 1 1], initial_trace: 0 trace | s:
1 | 1
naive_string_matcher
bfs: s: 1, A: [[1 1 0 0], [1 1 1 0], [0 1 0 0], [0 0 0 1]], initial_trace: [0 1 2 3] trace | pi:
| [1 1 1 3]
bfs
insertion_sort: key: [0.746 0.508 0.876 0.756 0.42 0.152 0.335 0.751 0.892 0.83 0.37 0.219 0.813 0.972 0.554 0.101 0.413 0.42 0.091], initial_trace: [0.746 0.508 0.876 0.756 0.42 0.152 0.335 0.751 0.892 0.83 0.37 0.219 0.813 0.972 0.554 0.101 0.413 0.42 0.091] trace | pred:
[0.508 0.746 0.876 0.756 0.42 0.152 0.335 0.751 0.892 0.83 0.37 0.219 0.813 0.972 0.554 0.101 0.413 0.42 0.091], [0.508 0.746 0.876 0.756 0.42 0.152 0.335 0.751 0.892 0.83 0.37 0.219 0.813 0.972 0.554 0.101 0.413 0.42 0.091], [0.508 0.746 0.756 0.876 0.42 0.152 0.335 0.751 0.892 0.83 0.37 0.219 0.813 0.972 0.554 0.101 ...
insertion_sort
naive_string_matcher: string: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1], key: [1 0 3 2 1 3 1 2 2 1 1 1 1 0 2 2 3 2 2 1 2 1 0 2 2 1 1 1], initial_trace: 0 trace | s:
1, 2, 3, 3, 4, 5, 6, 7, 7, 7, 7 | 7
naive_string_matcher
insertion_sort: key: [0.115 0.163 0.222 0.786], initial_trace: [0.115 0.163 0.222 0.786] trace | pred:
[0.115 0.163 0.222 0.786], [0.115 0.163 0.222 0.786] | [0.115 0.163 0.222 0.786]
insertion_sort
topological_sort: A: [[0 0 0 1 0 1 0 0 0 0], [1 0 0 0 0 1 0 0 1 0], [1 1 0 0 0 0 0 1 1 1], [0 0 0 0 1 0 1 0 0 1], [0 0 0 0 0 0 0 0 0 0], [0 0 0 1 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 0 0 0 0 0 0 0 0 0], [0 0 0 0 1 0 1 1 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], 0, [0 1 2 3 4 5 6 7 8 9], 4, [0 1 2 3 4 5 6 7 8 9], 4, [0 1 2 3 4 5 4 7 8 9], 6, [0 1 2 3 4 5 4 7 8 9], 6, [0 1 2 3 4 5 4 7 8 9], 6, [0 1 2 3 4 5 4 6 8 9], 7, [0 1 2 3 4 5 4 6 8 7], 9, [0 1 2 9 4 5 4 6 8 7], 3, [0 1 2 9 4 5 4 6 8 7], 3, [0 1 2 9...
topological_sort
jarvis_march: x: [0.973 0.499 -0.262 -1.97 -1.29], y: [0.833 -0.945 -1.67 -0.215 0.146], initial_trace: [0 0 0 0 0] trace | in_hull:
[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 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], [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 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 1...
jarvis_march
naive_string_matcher: string: [0 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 1 1 1 1 1], key: [3 2 0 0 3 0 2 0 3 1 2 0 1 0 0 2 0 2 0 1 0 0 3 0 2 0 1 0 0 2 0], initial_trace: 0 trace | s:
1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 11, 11, 11 | 11
naive_string_matcher
strongly_connected_components: A: [[1 0 0 0 0 0 0 0 0 0 0 0 1 1 0], [0 1 0 0 0 0 0 0 0 1 0 0 0 0 0], [0 0 1 0 0 0 1 0 0 0 0 0 0 0 0], [0 0 0 1 0 0 0 0 1 0 1 0 0 0 0], [0 0 0 0 1 0 0 1 0 0 1 0 0 0 0], [0 0 1 0 0 0 1 0 0 0 0 0 0 0 0], [0 0 1 0 0 0 1 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 1 0 0 0 1 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...
strongly_connected_components
dfs: A: [[1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0], [1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0], [1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0], [1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1], [0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1], [0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1], [1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0], [0 1 0 0 1 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], [0 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], [0 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], [0 0 2 3 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18], [0 0 2 3 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18], [0 0 2 4 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18], [0 0 2 4 1 5 6 7 8 9...
dfs
activity_selector: s: [0.198 0.685 0.47 0.477 0.081 0.914 0.054 0.268 0.323 0.014 0.386 0.009 0.18 0.059 0.328], f: [0.755 0.916 0.661 0.817 0.633 0.924 0.2 0.573 0.467 0.077 0.575 0.56 0.206 0.694 0.98], initial_trace: [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 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 1 0 0 1 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 1 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 1 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 1 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 1 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 1 0 0], [0 0 1 0 0 0 0 0 1 1 0 0 1 0 0], [0 0 1 0 0 0 0 0 1 1 0 ...
activity_selector
kmp_matcher: string: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1], key: [0 0 2 1 2 2 1 3 3 3 3 3 1 1 1 0 1 0 3 1 1 1 0], initial_trace: 0 trace | s:
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11 | 12
kmp_matcher
dijkstra: s: 8, A: [[0 0.215 0 0.41 0 0 0 0 0.48 0 0], [0.215 0 0.326 0 0 0.73 0.424 0 0 0.733 0], [0 0.326 0.269 0 0 0 0 0 0 0 0], [0.41 0 0 0 0 0.299 0.071 0 0 0.476 0], [0 0 0 0 0 0.63 0 0.458 0 0 0.336], [0 0.73 0 0.299 0.63 0 0 0.332 0 0 0.457], [0 0.424 0 0.071 0 0 0.496 0 0.805 0 0], [0 0 0 0 0.458 0.332 0 0.755...
[8 1 2 3 4 5 8 7 8 9 10], [8 0 2 0 4 5 8 7 8 9 10], [8 0 1 0 4 1 8 7 8 1 10], [8 0 1 6 4 1 8 7 8 1 10], [8 0 1 6 4 3 8 7 8 3 10], [8 0 1 6 4 3 8 7 8 3 10], [8 0 1 6 5 3 8 5 8 3 5], [8 0 1 6 5 3 8 5 8 3 5], [8 0 1 6 5 3 8 5 8 3 5], [8 0 1 6 5 3 8 5 8 3 5] | [8 0 1 6 5 3 8 5 8 3 5]
dijkstra
bellman_ford: s: 3, A: [[0 0 0 0 0 0 0 0 0 0.315 0 0 0 0.85 0 0 0 0 0 0.896 0 0 0], [0 0.351 0 0.17 0 0.466 0 0 0 0.468 0 0.678 0 0 0 0 0 0.114 0.478 0 0 0 0], [0 0 0.773 0 0.813 0.456 0.298 0 0 0 0.689 0 0 0 0 0 0 0 0 0 0 0 0], [0 0.17 0 0 0 0 0.474 0.252 0 0 0 0 0.659 0 0.408 0.476 0 0 0 0 0 0 0.672], [0 0 0.813 0 0 ...
[0 3 2 3 4 5 3 3 8 9 10 11 3 13 3 3 16 17 18 19 20 21 3], [0 3 6 3 6 1 3 3 7 1 22 1 3 14 3 7 12 1 1 14 20 12 3], [9 3 6 3 21 1 3 3 17 1 17 17 3 14 3 7 12 1 1 14 11 17 3], [9 3 6 3 21 1 3 3 17 1 17 17 21 14 3 7 12 1 1 14 11 17 3] | [9 3 6 3 21 1 3 3 17 1 17 17 21 14 3 7 12 1 1 14 11 17 3]
bellman_ford
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
find_maximum_subarray_kadane: key: [-0.575 0.206 -0.318 -0.371 -0.688 0.911 0.719 -0.03 -0.022 -0.305 0.943], initial_trace: (0, 0) trace | (best_low, best_high):
(1, 1), (1, 1), (1, 1), (1, 1), (5, 5), (5, 6), (5, 6), (5, 6), (5, 6) | (5, 10)
find_maximum_subarray_kadane
binary_search: key: [0.003 0.121 0.239 0.249 0.311 0.359 0.386 0.461 0.515 0.515 0.592 0.602 0.644 0.687 0.725 0.757 0.809 0.838 0.861 0.905 0.913 0.93 0.972], target: 0.425, initial_trace: (0, 22) trace | (low, high):
(0, 11), (6, 11), (6, 8), (6, 7) | (7, 7)
binary_search
binary_search: key: [0.034 0.078 0.233 0.268 0.298 0.307 0.366 0.477 0.565 0.697 0.895], target: 0.525, initial_trace: (0, 10) trace | (low, high):
(6, 10), (6, 8) | (8, 8)
binary_search
minimum: key: [0.332 0.74 0.323 0.145 0.578 0.063 0.373 0.254 0.332 0.485 0.536], initial_trace: 0 trace | min:
0, 2, 3, 3, 5, 5, 5, 5, 5 | 5
minimum
optimal_bst: p: [0.122 0.099 0.099 0.105 0], q: [0.14 0.147 0.137 0.058 0.092], 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 | root:
[[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 0], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]], [[0 0 0 1 0], [0 0 1 1 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]] | [[0 0 0 1 1], [0 0 1 1 2], [0 0 0 2 2], [0 0 0 0 3], [0 0 0 0 0]]
optimal_bst
segments_intersect: x: [0.638 0.272 0.293 0.764], y: [0.808 0.094 0.572 0.494] intersect:
1
segments_intersect
activity_selector: s: [0.019 0.432 0.023 0.166 0.521 0.27 0.204 0.461 0.899 0.296 0.306 0.384 0.149 0.064 0.312], f: [0.656 0.738 0.889 0.708 0.594 0.943 0.447 0.744 0.924 0.403 0.495 0.75 0.894 0.511 0.776], initial_trace: [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 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 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 1 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1 0 ...
activity_selector
strongly_connected_components: A: [[1 0 0 0 0], [0 1 1 0 0], [0 0 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