Datasets:

question
stringlengths
65
3.42k
answer
stringlengths
3
5.8k
algo_name
stringclasses
30 values
kmp_matcher: string: [0 0 0 0 1], key: [1 0 3 0 1], initial_trace: 0 trace | s:
| 0
kmp_matcher
find_maximum_subarray_kadane: key: [-0.712 0.443 -0.143 0.629 -0.857 0.696 -0.038 -0.522 0.933 0.909 0.473 -0.03 -0.516 0.199 0.186 0.914 -0.49 0.428 -0.435 -0.652 -0.806 0.311 -0.748 0.571 0.986 -0.855 0.983 -0.385 0.681 -0.074 0.038], initial_trace: (0, 0) trace | (best_low, best_high):
(1, 1), (1, 1), (1, 3), (1, 3), (1, 3), (1, 3), (1, 3), (1, 8), (1, 9), (1, 10), (1, 10), (1, 10), (1, 10), (1, 10), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15), (1, 15) | (1, 15)
find_maximum_subarray_kadane
quickselect: key: [0.085 0.421 0.893 0.199 0.8 0.078 0.429 0.945 0.432 0.447 0.392 0.646 0.301 0.197 0.908 0.085 0.039 0.639 0.08 0.192 0.935 0.256 0.731 0.571 0.569 0.44 0.302 0.901], initial_trace: 27 trace | pivot:
27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 25, 25, 25, 25, 25, 25, 25, 25, 25, 10, 10, 10, 10, 1, 1, 1, 6, 6 | 8
quickselect
mst_prim: s: 2, A: [[0.557 0 0 0.455 0.782], [0 0.974 0 0 0], [0 0 0.6 0 0], [0.455 0 0 0 0], [0.782 0 0 0 0.617]], initial_trace: [0 1 2 3 4] trace | pi:
| [0 1 2 3 4]
mst_prim
mst_prim: s: 9, A: [[0.106 0 0 0 0 0.689 0 0.773 0 0.686 0 0 0 0 0 0.283 0 0 0], [0 0.04 0 0 0 0 0 0.921 0.169 0 0 0 0 0 0 0 0 0.161 0], [0 0 0.717 0 0 0 0 0 0 0 0 0 0.615 0 0 0 0 0 0.363], [0 0 0 0.036 0 0 0 0 0.865 0 0 0.148 0 0.625 0 0.364 0 0 0], [0 0 0 0 0.047 0.49 0 0 0 0 0 0 0 0 0 0 0 0 0], [0.689 0 0 0 0.49 0 0.728 0.835 0 0.056 0 0 0 0 0.817 0 0.048 0 0], [0 0 0 0 0 0.728 0 0 0 0 0 0 0 0 0 0 0.118 0 0], [0.773 0.921 0 0 0 0.835 0 0.587 0 0 0 0 0 0.303 0 0 0.769 0 0], [0 0.169 0 0.865 0 0 0 0 0 0 0.519 0.099 0 0.429 0 0.508 0 0.421 0.415], [0.686 0 0 0 0 0.056 0 0 0 0 0.239 0 0.157 0 0 0 0 0 0.707], [0 0 0 0 0 0 0 0 0.519 0.239 0.944 0 0 0 0 0 0 0 0], [0 0 0 0.148 0 0 0 0 0.099 0 0 0 0 0 0 0.687 0 0 0], [0 0 0.615 0 0 0 0 0 0 0.157 0 0 0 0 0 0 0.613 0 0], [0 0 0 0.625 0 0 0 0.303 0.429 0 0 0 0 0 0 0.639 0.583 0 0], [0 0 0 0 0 0.817 0 0 0 0 0 0 0 0 0.569 0.431 0 0.574 0.317], [0.283 0 0 0.364 0 0 0 0 0.508 0 0 0.687 0 0.639 0.431 0 0 0 0], [0 0 0 0 0 0.048 0.118 0.769 0 0 0 0 0.613 0.583 0 0 0 0 0], [0 0.161 0 0 0 0 0 0 0.421 0 0 0 0 0 0.574 0 0 0 0], [0 0 0.363 0 0 0 0 0 0.415 0.707 0 0 0 0 0.317 0 0 0 0.351]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18] trace | pi:
[9 1 2 3 4 9 6 7 8 9 9 11 9 13 14 15 16 17 9], [9 1 2 3 5 9 5 5 8 9 9 11 9 13 5 15 5 17 9], [9 1 2 3 5 9 16 16 8 9 9 11 9 16 5 15 5 17 9], [9 1 2 3 5 9 16 16 8 9 9 11 9 16 5 15 5 17 9], [9 1 12 3 5 9 16 16 8 9 9 11 9 16 5 15 5 17 9], [9 1 12 3 5 9 16 16 10 9 9 11 9 16 5 15 5 17 9], [9 1 12 3 5 9 16 16 10 9 9 11 9 16 5 15 5 17 9], [9 8 12 8 5 9 16 16 10 9 9 8 9 8 5 8 5 8 8], [9 8 12 11 5 9 16 16 10 9 9 8 9 8 5 8 5 8 8], [9 8 12 11 5 9 16 16 10 9 9 8 9 8 5 3 5 8 8], [9 8 12 11 5 9 16 16 10 9 9 8 9 8 5 3 5 1 8], [9 8 12 11 5 9 16 16 10 9 9 8 9 8 17 3 5 1 8], [15 8 12 11 5 9 16 16 10 9 9 8 9 8 15 3 5 1 8], [15 8 12 11 5 9 16 16 10 9 9 8 9 8 15 3 5 1 8], [15 8 18 11 5 9 16 16 10 9 9 8 9 8 18 3 5 1 8], [15 8 18 11 5 9 16 16 10 9 9 8 9 8 18 3 5 1 8], [15 8 18 11 5 9 16 16 10 9 9 8 9 8 18 3 5 1 8], [15 8 18 11 5 9 16 13 10 9 9 8 9 8 18 3 5 1 8] | [15 8 18 11 5 9 16 13 10 9 9 8 9 8 18 3 5 1 8]
mst_prim
activity_selector: s: [0.174 0.333 0.118 0.417], f: [0.687 0.967 0.636 0.596], initial_trace: [0 0 0 0] trace | selected:
[0 0 0 1], [0 0 0 1], [0 0 0 1] | [0 0 0 1]
activity_selector
find_maximum_subarray_kadane: key: [0.069 0.273 0.419 -0.7], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 1), (0, 2) | (0, 2)
find_maximum_subarray_kadane
minimum: key: [0.716 0.254 0.322 0.726 0.623 0.705 0.796 0.377 0.693 0.542 0.679 0.972 0.25 0.315 0.173 0.713 0.044 0.467 0.625 0.925 0.801 0.102 0.505 0.405 0.252 0.819 0.17 0.632 0.489 0.485 0.143], initial_trace: 0 trace | min:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 12, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16 | 16
minimum
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
floyd_warshall: A: [[0 0.343 0 0 0], [0.343 0.321 0.893 0 0], [0 0.893 0 0 0], [0 0 0 0 0], [0 0 0 0 0.496]], initial_trace: [[0 0 0 0 0], [1 1 1 1 1], [2 2 2 2 2], [3 3 3 3 3], [4 4 4 4 4]] trace | Pi:
[[0 0 0 0 0], [1 1 1 1 1], [2 2 2 2 2], [3 3 3 3 3], [4 4 4 4 4]], [[0 0 1 0 0], [1 1 1 1 1], [1 2 2 2 2], [3 3 3 3 3], [4 4 4 4 4]], [[0 0 1 0 0], [1 1 1 1 1], [1 2 2 2 2], [3 3 3 3 3], [4 4 4 4 4]] | [[0 0 1 0 0], [1 1 1 1 1], [1 2 2 2 2], [3 3 3 3 3], [4 4 4 4 4]]
floyd_warshall
binary_search: key: [0.045 0.168 0.572 0.643 0.862], target: 0.291, initial_trace: (0, 4) trace | (low, high):
(0, 2) | (2, 2)
binary_search
bellman_ford: s: 8, A: [[0 0 0 0 0.212 0 0.662 0 0 0], [0 0 0.483 0.606 0 0.033 0.289 0 0.777 0], [0 0.483 0.616 0 0 0 0 0.14 0.24 0.639], [0 0.606 0 0 0.259 0.524 0 0 0 0.898], [0.212 0 0 0.259 0 0.73 0.381 0.389 0 0], [0 0.033 0 0.524 0.73 0.507 0 0 0.499 0], [0.662 0.289 0 0 0.381 0 0.352 0.455 0 0], [0 0 0.14 0 0.389 0 0.455 0.565 0 0], [0 0.777 0.24 0 0 0.499 0 0 0.16 0], [0 0 0.639 0.898 0 0 0 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9] trace | pi:
[0 8 8 3 4 8 6 7 8 9], [0 5 8 5 5 8 1 2 8 2], [4 5 8 5 7 8 1 2 8 2] | [4 5 8 5 7 8 1 2 8 2]
bellman_ford
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: [2 1 3 3 3 3 1 2 0 2 0 2 1 2 2 3 2 1 0 2 1 3 0 0 1 0 2 1 2 2 3], initial_trace: 0 trace | s:
1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 9, 10, 10, 10, 10, 10 | 10
naive_string_matcher
activity_selector: s: [0.228 0.497 0.166 0.157 0.381 0.626 0.23 0.57 0.147 0.276 0.227 0.25], f: [0.428 0.703 0.664 0.883 0.789 0.984 0.99 0.774 0.945 0.519 0.736 0.981], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | selected:
[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 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0], [1 1 0 0 0 0 0 0 0 0 0 0] | [1 1 0 0 0 0 0 0 0 0 0 0]
activity_selector
activity_selector: s: [0.383 0.333 0.15 0.284 0.036 0.001 0.219 0.344 0.095 0.543 0.181 0.011 0.455 0.133 0.121], f: [0.726 0.989 0.356 0.678 0.455 0.257 0.855 0.98 0.525 0.988 0.817 0.471 0.492 0.497 0.158], 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 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 0 0 0 0 0 1], [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 0 0 1 0 1], [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 0 0 1 0 1], [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 0 0 1 0 1], [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 0 0 1 0 1], [0 0 0 0 0 0 0 0 0 1 0 0 1 0 1] | [0 0 0 0 0 0 0 0 0 1 0 0 1 0 1]
activity_selector
dag_shortest_paths: s: 3, A: [[0 0 0 0 0], [0 0 0.185 0 0], [0.924 0 0 0 0], [0 0.0253 0.443 0 0.919], [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 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4], [0 3 3 3 3], [0 3 3 3 3], [0 3 1 3 3] | [2 3 1 3 3]
dag_shortest_paths
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 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0.19 0 0 0 0], [0 0 0 0 0 0 0.217 0 0 0], [0 0 0 0 0 0 0 0.923 0 0], [0 0 0 0 0 0 0 0 1 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 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 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 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 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
quickselect: key: [0.344 0.921 0.904 0.588 0.458 0.205 0.381 0.623 0.622 0.825 0.037 0.025], initial_trace: 11 trace | pivot:
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3 | 3
quickselect
minimum: key: [0.975 0.672 0.554 0.406], initial_trace: 0 trace | min:
1, 2 | 3
minimum
dijkstra: s: 12, A: [[0 0 0 0.137 0 0.277 0 0 0 0 0 0.083 0 0 0 0 0 0 0 0 0 0 0.696], [0 0 0 0 0.654 0 0 0 0 0 0 0 0 0 0.381 0 0 0 0 0.555 0.064 0 0], [0 0 0.225 0 0.556 0 0.19 0 0 0 0.179 0 0 0 0 0 0 0 0.053 0.081 0.668 0 0], [0.137 0 0 0.1 0 0 0 0 0 0 0 0 0 0 0.623 0 0.364 0 0.855 0 0 0 0], [0 0.654 0.556 0 0 0 0.344 0.468 0 0.29 0.198 0 0 0 0 0 0 0 0 0.358 0.276 0 0], [0.277 0 0 0 0 0.881 0 0.713 0 0 0 0 0 0 0 0.109 0 0 0 0 0.845 0 0.772], [0 0 0.19 0 0.344 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138 0 0 0 0], [0 0 0 0 0.468 0.713 0 0 0 0 0 0.409 0.479 0.542 0 0 0 0 0 0 0.395 0 0], [0 0 0 0 0 0 0 0 0.713 0.576 0 0 0 0 0.366 0 0 0 0 0 0 0 0], [0 0 0 0 0.29 0 0 0 0.576 0.667 0.367 0 0 0 0.114 0 0 0 0 0 0.736 0 0], [0 0 0.179 0 0.198 0 0 0 0 0.367 0.906 0.722 0 0.731 0 0.048 0 0 0 0.318 0.354 0 0.658], [0.083 0 0 0 0 0 0 0.409 0 0 0.722 0.642 0 0 0 0 0 0 0.248 0 0 0 0], [0 0 0 0 0 0 0 0.479 0 0 0 0 0.975 0 0 0.488 0 0 0 0.533 0.727 0 0.498], [0 0 0 0 0 0 0 0.542 0 0 0.731 0 0 0.094 0 0 0 0 0 0 0 0.476 0], [0 0.381 0 0.623 0 0 0 0 0.366 0.114 0 0 0 0 0.721 0.158 0.243 0 0 0 0 0 0], [0 0 0 0 0 0.109 0 0 0 0 0.048 0 0.488 0 0.158 0.194 0 0 0 0 0 0 0], [0 0 0 0.364 0 0 0 0 0 0 0 0 0 0 0.243 0 0 0.71 0.872 0.739 0 0 0.421], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.71 0.849 0.462 0.721 0 0 0], [0 0 0.053 0.855 0 0 0.138 0 0 0 0 0.248 0 0 0 0 0.872 0.462 0 0.425 0 0 0.173], [0 0.555 0.081 0 0.358 0 0 0 0 0 0.318 0 0.533 0 0 0 0.739 0.721 0.425 0 0 0.285 0], [0 0.064 0.668 0 0.276 0.845 0 0.395 0 0.736 0.354 0 0.727 0 0 0 0 0 0 0 0.323 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0.476 0 0 0 0 0 0.285 0 0.76 0], [0.696 0 0 0 0 0.772 0 0 0 0 0.658 0 0.498 0 0 0 0.421 0 0.173 0 0 0 0.95]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22] trace | pi:
[0 1 2 3 4 5 6 12 8 9 10 11 12 13 14 12 16 17 18 12 12 21 12], [0 1 2 3 7 7 6 12 8 9 10 7 12 7 14 12 16 17 18 12 12 21 12], [0 1 2 3 7 15 6 12 8 9 15 7 12 7 15 12 16 17 18 12 12 21 12], [22 1 2 3 7 15 6 12 8 9 15 7 12 7 15 12 22 17 22 12 12 21 12], [22 19 19 3 19 15 6 12 8 9 15 7 12 7 15 12 22 19 22 12 12 19 12], [22 19 19 3 10 15 6 12 8 10 15 7 12 7 15 12 22 19 22 12 12 19 12], [5 19 19 3 10 15 6 12 8 10 15 7 12 7 15 12 22 19 22 12 12 19 12], [5 19 19 3 10 15 2 12 8 10 15 7 12 7 15 12 22 19 2 12 12 19 12], [5 14 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 19 2 12 12 19 12], [5 14 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 14 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12], [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12] | [5 20 19 0 10 15 2 12 14 14 15 7 12 7 15 12 14 18 2 12 12 19 12]
dijkstra
graham_scan: x: [1.59 0.606 1.72 -0.687 -1.68 1.04 1.87 1.12 -1.42 -1.86 0.075 -0.076 -1.18 0.498 -1.67 0.619 0.022 1.71 -1.37 0.398 1.82 0.955 -1.29 -0.783 -0.728 0.18 0.925 -0.776], y: [0.169 1.81 0.997 0.79 -0.586 0.637 -0.387 0.366 0.995 -0.59 -1.08 -1.2 1.33 0.048 -0.509 -0.923 0.808 0.992 1.29 -1.54 -0.269 1.34 1.33 -1.12 -0.037 -1.24 -0.68 1.35], 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] trace | in_hull:
[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 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 1 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 1 1 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 1 1 0 0 0 0 0 1 0], [1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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 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 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 1 0 1 0 0 0 0 0 0 0 0], [0 0 1 0 0 0 1 1 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 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0], [0 0 1 0 0 0 1 1 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 1 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 1 1 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 1 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 1 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 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0], [0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 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 1 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 1 0 0 0 0 0 0 0 0], [0 1 1 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 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0], [0 1 1 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 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1], [0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1], [0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1], [0 1 1 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 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0], [0 1 1 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 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0], [0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0], [0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0] | [0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0]
graham_scan
strongly_connected_components: A: [[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]], 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 4], [0 1 2 3 4], [0 1 2 3 4], [0 1 2 3 4] | [0 1 2 3 4]
strongly_connected_components
graham_scan: x: [-0.122 0.063 -1.29 0.468 1.04 -1.26 -0.532 -0.05 1 1.6 1.75 0.759 -0.932 0.003 0.812 -1.27 -1.95 1.63 0.01 0.367 0.56 -0.641 0.448 -0.588 1.33 0.139 -1.95 -1.46 -0.041 0.356 -1.74], y: [-0.506 1.79 -0.362 -0.291 -1.69 0.954 1.79 1.86 1.63 -0.632 0.296 -1.48 0.75 -0.173 0.432 -1.16 -0.253 -0.251 1.85 -0.831 -0.886 0.645 0.43 -0.246 -1.41 1.44 -0.216 -0.252 -0.777 -0.821 0.046], 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] trace | in_hull:
[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 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 1 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 1 0 0 0 0 0 0], [0 0 0 0 1 0 0 0 0 1 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 1 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 1 0 0 0 0 1 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 1 0 0 0 1 1 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 1 0 0 0 1 1 1 0 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 1 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 1 0 0 0 1 1 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0], [0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0], [0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0], [0 1 0 0 1 0 0 0 1 1 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 1 0 0 0 1 1 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 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 1 0 0 0 1 1 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 1 0 0 1 1 1 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 0 1 1 1 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 1 0 0 1 1 1 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 1 0 1 1 1 1 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 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0], [0 0 0 0 1 0 1 1 1 1 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 1 0 1 1 1 1 1 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 1 1 1 1 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 1 0 1 1 1 1 1 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 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0], [0 0 0 0 1 0 1 1 1 1 1 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 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0], [0 0 0 0 1 0 1 1 1 1 1 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 0 1 1 1 1 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 1 0 1 1 1 1 1 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 1 1 1 1 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0], [1 0 0 0 1 1 1 1 1 1 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 1 1 1 1 1 1 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0], [0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0], [0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0], [0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0], [0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0], [0 0 0 0 1 1 1 1 1 1 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 1 1 1 1 1 1 1 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1], [0 0 1 0 1 1 1 1 1 1 1 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 1 1 1 1 1 1 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 1 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0], [0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0] | [0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0]
graham_scan
find_maximum_subarray_kadane: key: [0.261 -0.022 0.309 -0.535 0.12 0.789 0.173 0.015 -0.451 0.55 -0.84], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 2), (0, 2), (0, 2), (0, 5), (0, 6), (0, 7), (0, 7), (0, 9) | (0, 9)
find_maximum_subarray_kadane
bfs: s: 8, A: [[1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0], [0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1], [1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0], [0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1], [1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0], [1 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0], [0 0 1 0 0 1 1 0 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 1 1 0 0 0 0 0 0 0 0], [0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0], [1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0], [0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0], [0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1], [0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0], [0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0], [0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 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 0], [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0], [1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0], [0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1], [0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1], [0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22] trace | pi:
[0 1 2 8 4 5 6 8 8 8 8 11 12 13 14 8 16 17 8 19 20 21 22], [9 9 18 8 3 7 6 8 8 8 8 10 12 7 7 8 15 17 8 15 9 18 3] | [9 9 18 8 3 7 2 8 8 8 8 10 5 7 7 8 15 5 8 15 9 18 3]
bfs
quicksort: key: [0.431 0.832 0.155 0.397], initial_trace: [0.431 0.832 0.155 0.397] trace | pred:
[0.431 0.832 0.155 0.397], [0.155 0.832 0.431 0.397], [0.155 0.397 0.431 0.832], [0.155 0.397 0.431 0.832] | [0.155 0.397 0.431 0.832]
quicksort
bellman_ford: s: 10, A: [[0 0.41 0 0 0 0 0 0 0 0 0 0.509 0 0.142 0], [0.41 0.412 0 0 0.171 0 0 0 0 0 0 0 0 0 0], [0 0 0.26 0 0 0 0 0 0.926 0.195 0 0 0 0 0], [0 0 0 0 0 0 0.686 0 0 0 0 0 0 0 0], [0 0.171 0 0 0 0 0 0 0 0.767 0 0 0 0 0], [0 0 0 0 0 0.056 0 0 0 0 0.682 0 0 0 0], [0 0 0 0.686 0 0 0 0 0 0.784 0 0.736 0 0 0], [0 0 0 0 0 0 0 0.032 0 0 0 0.37 0 0.636 0], [0 0 0.926 0 0 0 0 0 0.826 0 0 0 0.411 0.417 0], [0 0 0.195 0 0.767 0 0.784 0 0 0.867 0 0 0 0 0], [0 0 0 0 0 0.682 0 0 0 0 0.305 0 0 0.299 0.249], [0.509 0 0 0 0 0 0.736 0.37 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0.411 0 0 0 0 0 0.53], [0.142 0 0 0 0 0 0 0.636 0.417 0 0.299 0 0 0.852 0], [0 0 0 0 0 0 0 0 0 0 0.249 0 0.53 0 0.467]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14] trace | pi:
[0 1 2 3 4 10 6 7 8 9 10 11 12 10 10], [13 1 2 3 4 10 6 13 13 9 10 11 14 10 10], [13 0 8 3 4 10 6 13 13 9 10 0 14 10 10], [13 0 8 3 1 10 11 13 13 2 10 0 14 10 10] | [13 0 8 6 1 10 11 13 13 4 10 0 14 10 10]
bellman_ford
naive_string_matcher: string: [0 0 0 0 0 0 0 0 0 0 0 0 1 1 1], key: [3 0 2 0 3 3 1 1 3 1 2 3 3 0 2], initial_trace: 0 trace | s:
0 | 0
naive_string_matcher
articulation_points: A: [[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 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 1 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]], initial_trace: [0 0 0 0 0 0 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 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 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
dfs: A: [[1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0], [1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0], [1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0], [0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0], [0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0], [1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0], [1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0], [0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1], [0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1], [0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1], [0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0], [0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1], [1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0], [0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0], [1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0], [0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1], [0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1], [0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0], [0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1], [0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0], [0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0], [1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0], [1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22] trace | pi:
[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 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 4 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 4 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 4 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 4 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 9 8 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 9 8 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 11 12 13 14 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 11 12 13 9 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 11 12 13 9 15 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 11 12 13 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 11 12 13 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 12 13 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 12 13 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 13 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 13 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 16 17 18 19 20 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 16 17 18 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 16 17 18 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 17 18 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 17 18 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 18 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 18 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 21 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 18 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 18 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 18 22], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 19 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18], [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18] | [0 0 1 2 6 3 5 4 7 10 8 15 11 12 9 14 20 16 17 22 13 18 18]
dfs
graham_scan: x: [1.7 -0.944 -1.59 0.355 1.08], y: [-0.616 -1.63 -0.77 1.63 0.718], initial_trace: [0 0 0 0 0] trace | in_hull:
[0 1 0 0 0], [0 1 0 0 0], [1 1 0 0 0], [1 1 0 0 1], [1 1 0 1 1] | [1 1 1 1 1]
graham_scan
find_maximum_subarray_kadane: key: [-0.692 -0.064 0.485 0.54], initial_trace: (0, 0) trace | (best_low, best_high):
(1, 1), (2, 2) | (2, 3)
find_maximum_subarray_kadane
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: [2 1 2 0 0 2 3 2 0 1 0 0 3 1 2 1 0 0 0 3 0 2 1 3 1 3 2 0 1 0 0], initial_trace: 0 trace | s:
1, 2, 3, 4, 5, 6, 6, 6, 6, 6 | 6
naive_string_matcher
mst_kruskal: A: [[0 0 0 0 0], [0 0 0 0.347 0], [0 0 0 0 0], [0 0.347 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]] | [[0 0 0 0 0], [0 0 0 1 0], [0 0 0 0 0], [0 1 0 0 0], [0 0 0 0 0]]
mst_kruskal
minimum: key: [0.664 0.405 0.819 0.647 0.7 0.97 0.845 0.342 0.459 0.866], initial_trace: 0 trace | min:
1, 1, 1, 1, 1, 1, 7, 7 | 7
minimum
quicksort: key: [0.057 0.306 0.151 0.192], initial_trace: [0.057 0.306 0.151 0.192] trace | pred:
[0.057 0.306 0.151 0.192], [0.057 0.151 0.306 0.192], [0.057 0.151 0.192 0.306], [0.057 0.151 0.192 0.306] | [0.057 0.151 0.192 0.306]
quicksort
task_scheduling: d: [14 16 29 7 15 30 8 9 5 2 28 24 26 21 10 4 28 4 30 3 4 18 28 22 30 27 27 30 15 25 10], w: [0.97 0.576 0.967 0.088 0.587 0.107 0.003 0.436 0.343 0.389 0.034 0.149 0.516 0.647 0.484 0.375 0.526 0.302 0.75 0.536 0.069 0.213 0.142 0.088 0.076 0.2 0.335 0.286 0.771 0.413 0.501], 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] trace | selected:
[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 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], [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 1 0 0], [1 0 1 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 1 0 0], [1 0 1 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 1 0 0], [1 0 1 0 1 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], [1 1 1 0 1 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], [1 1 1 0 1 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], [1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1], [1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1], [1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1], [1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1], [1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1], [1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1], [1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1], [1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1] | [1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1]
task_scheduling
quickselect: key: [0.444 0.18 0.015 0.866 0.625 0.598 0.774 0.26 0.758 0.484], initial_trace: 9 trace | pivot:
9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4 | 5
quickselect
binary_search: key: [0.007 0.044 0.06 0.132 0.187 0.216 0.253 0.265 0.281 0.309 0.333 0.342 0.347 0.398 0.455 0.458 0.461 0.53 0.598 0.618 0.62 0.736 0.76 0.845 0.872 0.895 0.906 0.917 0.963 0.97 0.991], target: 0.374, initial_trace: (0, 30) trace | (low, high):
(0, 15), (8, 15), (12, 15), (12, 13) | (13, 13)
binary_search
binary_search: key: [0.077 0.599 0.665 0.823], target: 0.833, initial_trace: (0, 3) trace | (low, high):
(2, 3) | (3, 3)
binary_search
task_scheduling: d: [11 12 11 15 9 4 7 11 15 2 14 3 14 6 5], w: [0.885 0.406 0.803 0.259 0.54 0.392 0.339 0.916 0.544 0.521 0.904 0.347 0.958 0.831 0.484], 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 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 1 0 1 0 0], [1 0 0 0 0 0 0 1 0 0 1 0 1 0 0], [1 0 0 0 0 0 0 1 0 0 1 0 1 1 0], [1 0 1 0 0 0 0 1 0 0 1 0 1 1 0], [1 0 1 0 0 0 0 1 1 0 1 0 1 1 0], [1 0 1 0 1 0 0 1 1 0 1 0 1 1 0], [1 0 1 0 1 0 0 1 1 0 1 0 1 1 0], [1 0 1 0 1 0 0 1 1 0 1 0 1 1 0], [1 1 1 0 1 0 0 1 1 0 1 0 1 1 0], [1 1 1 0 1 0 0 1 1 0 1 0 1 1 0], [1 1 1 0 1 0 0 1 1 0 1 0 1 1 0], [1 1 1 0 1 0 0 1 1 0 1 0 1 1 0] | [1 1 1 1 1 0 0 1 1 0 1 0 1 1 0]
task_scheduling
task_scheduling: d: [12 13 8 9 7 6 13 16 6 19 8 10 3 18 9 3 5 9 13], w: [0.721 0.451 0.092 0.731 0.584 0.986 0.843 0.225 0.007 0.724 0.232 0.384 0.71 0.072 0.085 0.103 0.581 0.474 0.605], initial_trace: [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 1 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0], [1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0], [1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0], [1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1], [1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1], [1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1], [1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1], [1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1] | [1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1]
task_scheduling
insertion_sort: key: [0.162 0.426 0.5 0.299 0.783 0.614 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], initial_trace: [0.162 0.426 0.5 0.299 0.783 0.614 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653] trace | pred:
[0.162 0.426 0.5 0.299 0.783 0.614 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.426 0.5 0.299 0.783 0.614 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.426 0.5 0.783 0.614 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.426 0.5 0.783 0.614 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.426 0.5 0.614 0.783 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.426 0.5 0.614 0.783 0.999 0.807 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.426 0.5 0.614 0.783 0.807 0.999 0.342 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.342 0.426 0.5 0.614 0.783 0.807 0.999 0.54 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.299 0.342 0.426 0.5 0.54 0.614 0.783 0.807 0.999 0.189 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.189 0.299 0.342 0.426 0.5 0.54 0.614 0.783 0.807 0.999 0.987 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.189 0.299 0.342 0.426 0.5 0.54 0.614 0.783 0.807 0.987 0.999 0.913 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.162 0.189 0.299 0.342 0.426 0.5 0.54 0.614 0.783 0.807 0.913 0.987 0.999 0.144 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.299 0.342 0.426 0.5 0.54 0.614 0.783 0.807 0.913 0.987 0.999 0.551 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.299 0.342 0.426 0.5 0.54 0.551 0.614 0.783 0.807 0.913 0.987 0.999 0.994 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.299 0.342 0.426 0.5 0.54 0.551 0.614 0.783 0.807 0.913 0.987 0.994 0.999 0.363 0.811 0.437 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.299 0.342 0.363 0.426 0.5 0.54 0.551 0.614 0.783 0.807 0.913 0.987 0.994 0.999 0.811 0.437 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.299 0.342 0.363 0.426 0.5 0.54 0.551 0.614 0.783 0.807 0.811 0.913 0.987 0.994 0.999 0.437 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.299 0.342 0.363 0.426 0.437 0.5 0.54 0.551 0.614 0.783 0.807 0.811 0.913 0.987 0.994 0.999 0.228 0.841 0.863 0.653], [0.144 0.162 0.189 0.228 0.299 0.342 0.363 0.426 0.437 0.5 0.54 0.551 0.614 0.783 0.807 0.811 0.913 0.987 0.994 0.999 0.841 0.863 0.653], [0.144 0.162 0.189 0.228 0.299 0.342 0.363 0.426 0.437 0.5 0.54 0.551 0.614 0.783 0.807 0.811 0.841 0.913 0.987 0.994 0.999 0.863 0.653], [0.144 0.162 0.189 0.228 0.299 0.342 0.363 0.426 0.437 0.5 0.54 0.551 0.614 0.783 0.807 0.811 0.841 0.863 0.913 0.987 0.994 0.999 0.653] | [0.144 0.162 0.189 0.228 0.299 0.342 0.363 0.426 0.437 0.5 0.54 0.551 0.614 0.653 0.783 0.807 0.811 0.841 0.863 0.913 0.987 0.994 0.999]
insertion_sort
find_maximum_subarray_kadane: key: [0.728 -0.353 0.64 0.617 0.191], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 2), (0, 3) | (0, 4)
find_maximum_subarray_kadane
mst_prim: s: 2, A: [[0.061 0 0.847 0 0.468 0 0 0 0 0 0.349 0 0.459 0 0 0.803 0 0 0 0 0 0.422 0 0.644 0 0 0 0], [0 0 0.596 0 0.268 0 0 0 0.733 0 0 0 0 0 0 0 0 0 0 0.784 0 0.415 0 0 0 0 0 0], [0.847 0.596 0.334 0 0 0 0 0.633 0 0 0 0 0.541 0.507 0.533 0 0.358 0 0 0.153 0 0 0 0.07 0 0.557 0.406 0], [0 0 0 0 0 0 0 0 0.452 0 0 0.551 0 0 0.432 0 0 0 0 0.174 0 0 0 0 0 0 0.689 0], [0.468 0.268 0 0 0.762 0 0.07 0.68 0 0.057 0 0 0.278 0.944 0 0.221 0 0 0 0 0 0 0.314 0 0 0 0 0.55], [0 0 0 0 0 0.884 0 0 0.438 0.543 0.352 0.614 0 0 0 0 0 0.341 0 0 0 0 0 0.345 0 0 0 0], [0 0 0 0 0.07 0 0 0.783 0 0 0 0 0 0 0.59 0 0 0 0 0 0 0 0 0 0 0 0.492 0], [0 0 0.633 0 0.68 0 0.783 0.917 0 0 0 0 0.418 0 0 0 0 0.063 0 0 0 0 0 0 0 0 0 0], [0 0.733 0 0.452 0 0.438 0 0 0.463 0 0 0.323 0 0 0 0 0 0 0 0 0.895 0 0 0 0 0 0 0], [0 0 0 0 0.057 0.543 0 0 0 0.103 0 0 0 0 0 0.163 0.815 0 0 0 0 0 0 0 0 0.379 0 0], [0.349 0 0 0 0 0.352 0 0 0 0 0 0.574 0 0 0 0.447 0 0.535 0 0 0.67 0.516 0 0 0.255 0 0 0.343], [0 0 0 0.551 0 0.614 0 0 0.323 0 0.574 0 0 0 0.714 0 0 0 0 0.122 0 0.745 0 0 0 0 0 0], [0.459 0 0.541 0 0.278 0 0 0.418 0 0 0 0 0.974 0 0 0.415 0 0 0.334 0 0 0 0 0 0 0 0.743 0.281], [0 0 0.507 0 0.944 0 0 0 0 0 0 0 0 0.447 0 0.29 0 0 0 0.407 0 0 0 0 0 0.323 0 0], [0 0 0.533 0.432 0 0 0.59 0 0 0 0 0.714 0 0 0.605 0 0 0 0 0 0.455 0 0 0 0.228 0.816 0.047 0.471], [0.803 0 0 0 0.221 0 0 0 0 0.163 0.447 0 0.415 0.29 0 0.137 0.847 0.391 0 0 0 0.633 0 0 0 0.47 0.133 0], [0 0 0.358 0 0 0 0 0 0 0.815 0 0 0 0 0 0.847 0.907 0 0 0 0 0.264 0 0 0 0 0 0], [0 0 0 0 0 0.341 0 0.063 0 0 0.535 0 0 0 0 0.391 0 0 0 0 0 0 0 0.274 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0.334 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0.784 0.153 0.174 0 0 0 0 0 0 0 0.122 0 0.407 0 0 0 0 0 0 0.221 0 0 0 0 0 0.515 0.741], [0 0 0 0 0 0 0 0 0.895 0 0.67 0 0 0 0.455 0 0 0 0 0.221 0 0 0 0 0 0 0 0], [0.422 0.415 0 0 0 0 0 0 0 0 0.516 0.745 0 0 0 0.633 0.264 0 0 0 0 0 0 0 0 0.282 0.711 0], [0 0 0 0 0.314 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582 0 0 0 0.191 0.901], [0.644 0 0.07 0 0 0.345 0 0 0 0 0 0 0 0 0 0 0 0.274 0 0 0 0 0 0.866 0.556 0 0 0.05], [0 0 0 0 0 0 0 0 0 0 0.255 0 0 0 0.228 0 0 0 0 0 0 0 0 0.556 0 0 0 0.06], [0 0 0.557 0 0 0 0 0 0 0.379 0 0 0 0.323 0.816 0.47 0 0 0 0 0 0.282 0 0 0 0 0 0.384], [0 0 0.406 0.689 0 0 0.492 0 0 0 0 0 0.743 0 0.047 0.133 0 0 0 0.515 0 0.711 0.191 0 0 0 0 0], [0 0 0 0 0.55 0 0 0 0 0 0.343 0 0.281 0 0.471 0 0 0 0 0.741 0 0 0.901 0.05 0.06 0.384 0 0.836]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27] trace | pi:
[2 2 2 3 4 5 6 2 8 9 10 11 2 2 2 15 2 17 18 2 20 21 22 2 24 2 2 27], [23 2 2 3 4 23 6 2 8 9 10 11 2 2 2 15 2 23 18 2 20 21 22 2 23 2 2 23], [23 2 2 3 27 23 6 2 8 9 27 11 27 2 27 15 2 23 18 2 20 21 27 2 27 27 2 23], [23 2 2 3 27 23 6 2 8 9 24 11 27 2 24 15 2 23 18 2 20 21 27 2 27 27 2 23], [23 2 2 19 27 23 6 2 8 9 24 19 27 19 24 15 2 23 18 2 19 21 27 2 27 27 2 23], [23 2 2 19 27 23 6 2 11 9 24 19 27 19 24 15 2 23 18 2 19 11 27 2 27 27 2 23], [23 2 2 19 27 23 6 2 11 9 24 19 27 19 24 15 2 23 18 2 19 11 27 2 27 27 2 23], [23 2 2 19 27 23 6 2 11 9 24 19 27 19 24 15 2 23 18 2 19 11 27 2 27 27 2 23], [23 2 2 19 27 23 14 2 11 9 24 19 27 19 24 15 2 23 18 2 19 11 27 2 27 27 14 23], [23 2 2 19 27 23 26 2 11 9 24 19 27 19 24 26 2 23 18 2 19 26 26 2 27 27 14 23], [23 2 2 19 15 23 26 2 11 15 24 19 27 15 24 26 2 23 18 2 19 15 26 2 27 27 14 23], [23 2 2 19 9 23 26 2 11 15 24 19 27 15 24 26 2 23 18 2 19 15 26 2 27 9 14 23], [4 4 2 19 9 23 4 2 11 15 24 19 4 15 24 26 2 23 18 2 19 15 26 2 27 9 14 23], [4 4 2 19 9 23 4 2 11 15 24 19 4 15 24 26 2 23 18 2 19 15 26 2 27 9 14 23], [4 4 2 19 9 23 4 2 11 15 24 19 4 15 24 26 2 23 18 2 19 15 26 2 27 9 14 23], [10 4 2 19 9 23 4 2 11 15 24 19 4 15 24 26 2 23 18 2 19 10 26 2 27 9 14 23], [10 4 2 19 9 23 4 2 11 15 24 19 4 15 24 26 2 23 18 2 19 1 26 2 27 9 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 2 23 18 2 19 1 26 2 27 9 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 2 23 18 2 19 1 26 2 27 9 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 2 23 12 2 19 1 26 2 27 9 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 2 23 12 2 19 1 26 2 27 13 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 2 23 12 2 19 25 26 2 27 13 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 21 23 12 2 19 25 26 2 27 13 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 21 23 12 2 19 25 26 2 27 13 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 21 23 12 2 19 25 26 2 27 13 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 21 23 12 2 19 25 26 2 27 13 14 23], [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 21 23 12 2 19 25 26 2 27 13 14 23] | [10 4 2 19 9 17 4 17 11 15 24 19 4 15 24 26 21 23 12 2 19 25 26 2 27 13 14 23]
mst_prim
jarvis_march: x: [-0.42 0.976 -0.933 -1.57 -0.467 0.107 0.118 -1.09 1.04 -1.57 -1.53 -0.696], y: [-0.47 -0.527 -0.125 0.483 0.191 1.42 -1.94 -0.021 -0.844 0.403 -0.357 0.38], initial_trace: [0 0 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 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], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 0 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 0 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 0 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0], [0 1 0 1 0 1 1 0 1 0 1 0] | [0 1 0 1 0 1 1 0 1 0 1 0]
jarvis_march
activity_selector: s: [0.281 0.639 0.769 0.127 0.174 0.268 0.336 0.069 0.05 0.088 0.367], f: [0.614 0.99 0.871 0.873 0.818 0.668 0.972 0.606 0.553 0.357 0.478], initial_trace: [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 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 0 0 0 0 0 0 1 1], [0 0 0 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 1 1], [0 0 1 0 0 0 0 0 0 1 1] | [0 0 1 0 0 0 0 0 0 1 1]
activity_selector
strongly_connected_components: A: [[0 0 0 0 1 0 0 0 0 0], [0 1 0 0 0 0 0 0 0 0], [0 0 1 1 0 0 0 0 0 0], [0 0 0 1 0 0 1 0 0 0], [1 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0], [0 1 0 1 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 0 0 0 0 1 1]], initial_trace: [0 1 2 3 4 5 6 7 8 9] trace | scc_id:
[0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 6 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 4 5 3 7 8 9], [0 1 2 3 0 5 3 7 8 9] | [0 1 2 3 0 5 3 7 8 9]
strongly_connected_components
bellman_ford: s: 14, A: [[0.124 0 0.576 0 0 0 0 0.585 0 0 0 0 0 0 0 0 0.339 0 0.177], [0 0 0 0 0.578 0.318 0.784 0 0 0 0 0 0.265 0 0.104 0 0 0 0.238], [0.576 0 0.694 0 0.167 0 0 0 0 0 0 0.2 0 0 0 0.295 0 0 0], [0 0 0 0 0 0 0 0 0.555 0 0 0 0 0 0 0 0 0 0], [0 0.578 0.167 0 0.161 0 0.309 0 0 0.493 0 0 0.105 0 0 0.516 0 0.417 0], [0 0.318 0 0 0 0.809 0 0.72 0 0 0 0 0 0.287 0 0 0 0 0.053], [0 0.784 0 0 0.309 0 0.539 0 0 0.464 0 0 0 0.235 0.455 0 0 0 0], [0.585 0 0 0 0 0.72 0 0.699 0 0 0 0 0 0 0 0 0.188 0 0.454], [0 0 0 0.555 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0.493 0 0.464 0 0 0 0 0 0 0 0.529 0 0.203 0.128 0], [0 0 0 0 0 0 0 0 0 0 0 0.773 0 0 0 0.595 0 0 0], [0 0 0.2 0 0 0 0 0 0 0 0.773 0.068 0 0 0 0 0 0 0.393], [0 0.265 0 0 0.105 0 0 0 0 0 0 0 0 0 0.467 0 0 0 0], [0 0 0 0 0 0.287 0.235 0 0 0 0 0 0 0 0 0.673 0 0 0], [0 0.104 0 0 0 0 0.455 0 0 0.529 0 0 0.467 0 0.043 0.048 0.699 0 0.691], [0 0 0.295 0 0.516 0 0 0 0 0 0.595 0 0 0.673 0.048 0 0 0 0], [0.339 0 0 0 0 0 0 0.188 0 0.203 0 0 0 0 0.699 0 0 0.832 0], [0 0 0 0 0.417 0 0 0 0 0.128 0 0 0 0 0 0 0.832 0 0], [0.177 0.238 0 0 0 0.053 0 0.454 0 0 0 0.393 0 0 0.691 0 0 0 0.515]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18] trace | pi:
[0 14 2 3 4 5 14 7 8 14 10 11 14 13 14 14 14 17 14], [18 14 15 3 15 1 14 16 8 14 15 18 1 6 14 14 14 9 1], [18 14 15 3 12 18 14 18 8 14 15 2 1 6 14 14 14 9 1] | [18 14 15 3 12 18 14 18 8 14 15 2 1 5 14 14 14 9 1]
bellman_ford
optimal_bst: p: [0.128 0.027 0.165 0.175 0], q: [0.082 0.043 0.105 0.234 0.04], 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
bubble_sort: key: [0.908 0.514 0.305 0.692 0.918 0.477 0.109 0.655 0.843 0.948], initial_trace: [0.908 0.514 0.305 0.692 0.918 0.477 0.109 0.655 0.843 0.948] trace | pred:
[0.908 0.514 0.305 0.692 0.918 0.477 0.109 0.655 0.843 0.948], [0.908 0.514 0.305 0.692 0.918 0.477 0.109 0.655 0.843 0.948], [0.908 0.514 0.305 0.692 0.918 0.477 0.109 0.655 0.843 0.948], [0.908 0.514 0.305 0.692 0.918 0.109 0.477 0.655 0.843 0.948], [0.908 0.514 0.305 0.692 0.109 0.918 0.477 0.655 0.843 0.948], [0.908 0.514 0.305 0.109 0.692 0.918 0.477 0.655 0.843 0.948], [0.908 0.514 0.109 0.305 0.692 0.918 0.477 0.655 0.843 0.948], [0.908 0.109 0.514 0.305 0.692 0.918 0.477 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.692 0.918 0.477 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.692 0.918 0.477 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.692 0.918 0.477 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.692 0.918 0.477 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.692 0.477 0.918 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.477 0.692 0.918 0.655 0.843 0.948], [0.109 0.908 0.514 0.305 0.477 0.692 0.918 0.655 0.843 0.948], [0.109 0.908 0.305 0.514 0.477 0.692 0.918 0.655 0.843 0.948], [0.109 0.305 0.908 0.514 0.477 0.692 0.918 0.655 0.843 0.948], [0.109 0.305 0.908 0.514 0.477 0.692 0.918 0.655 0.843 0.948], [0.109 0.305 0.908 0.514 0.477 0.692 0.918 0.655 0.843 0.948], [0.109 0.305 0.908 0.514 0.477 0.692 0.655 0.918 0.843 0.948], [0.109 0.305 0.908 0.514 0.477 0.655 0.692 0.918 0.843 0.948], [0.109 0.305 0.908 0.514 0.477 0.655 0.692 0.918 0.843 0.948], [0.109 0.305 0.908 0.477 0.514 0.655 0.692 0.918 0.843 0.948], [0.109 0.305 0.477 0.908 0.514 0.655 0.692 0.918 0.843 0.948], [0.109 0.305 0.477 0.908 0.514 0.655 0.692 0.918 0.843 0.948], [0.109 0.305 0.477 0.908 0.514 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.908 0.514 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.908 0.514 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.908 0.514 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.908 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.908 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.908 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.908 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.908 0.655 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.908 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.908 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.908 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.908 0.692 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.692 0.908 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.692 0.908 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.692 0.908 0.843 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.692 0.843 0.908 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.692 0.843 0.908 0.918 0.948], [0.109 0.305 0.477 0.514 0.655 0.692 0.843 0.908 0.918 0.948] | [0.109 0.305 0.477 0.514 0.655 0.692 0.843 0.908 0.918 0.948]
bubble_sort
bfs: s: 3, A: [[1 1 0 1], [1 1 0 0], [0 0 1 0], [1 0 0 0]], initial_trace: [0 1 2 3] trace | pi:
[3 1 2 3] | [3 0 2 3]
bfs
floyd_warshall: A: [[0 0.103 0 0], [0.103 0 0 0], [0 0 0 0], [0 0 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
jarvis_march: x: [-1.72 0.253 0.095 0.744 -0.14], y: [-0.579 1.82 -1.87 -1.57 -0.63], 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 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], [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]
jarvis_march
mst_prim: s: 8, A: [[0.562 0.593 0 0.139 0 0.097 0 0 0 0], [0.593 0 0 0 0 0.817 0 0 0 0], [0 0 0 0 0 0.366 0 0.72 0 0], [0.139 0 0 0.692 0 0 0 0 0 0.467], [0 0 0 0 0.752 0 0 0 0 0], [0.097 0.817 0.366 0 0 0.691 0 0.347 0.839 0], [0 0 0 0 0 0 0.05 0 0 0.089], [0 0 0.72 0 0 0.347 0 0.144 0 0], [0 0 0 0 0 0.839 0 0 0 0.046], [0 0 0 0.467 0 0 0.089 0 0.046 0.445]], initial_trace: [0 1 2 3 4 5 6 7 8 9] trace | pi:
[0 1 2 3 4 8 6 7 8 8], [0 1 2 9 4 8 9 7 8 8], [0 1 2 9 4 8 9 7 8 8], [3 1 2 9 4 8 9 7 8 8], [3 0 2 9 4 0 9 7 8 8], [3 0 5 9 4 0 9 5 8 8], [3 0 5 9 4 0 9 5 8 8], [3 0 5 9 4 0 9 5 8 8] | [3 0 5 9 4 0 9 5 8 8]
mst_prim
task_scheduling: d: [16 8 9 21 1 23 12 3 14 18 15 6 18 4 2 18 4 12 15 8 17 4 2], w: [0.018 0.027 0.625 0.198 0.591 0.795 0.523 0.847 0.383 0.63 0.662 0.07 0.206 0.566 0.765 0.22 0.856 0.402 0.354 0.88 0.259 0.661 0.737], 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 1 0 0 0], [0 0 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 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0], [0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0], [0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0], [0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0], [0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0], [0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0], [0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0], [0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0], [0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0], [0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0] | [1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0]
task_scheduling
jarvis_march: x: [1.45 1.64 -0.282 -1.04 1.53 -0.722 0.104 -0.475 -1.37 -1.3], y: [-0.788 -0.779 0.829 -1.47 0.51 -0.156 -0.998 1.77 -0.993 -1.1], initial_trace: [0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[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 1 0 1 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 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 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 0 0 0 0 0], [0 1 0 1 0 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 0 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 0 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 0], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1], [0 1 0 1 1 0 0 1 1 1] | [0 1 0 1 1 0 0 1 1 1]
jarvis_march
topological_sort: A: [[0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0], [0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1], [0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0], [0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 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 1 0 1 0 0 1 1 1 0], [0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0], [0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 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 1 1 1 1 0 1 0 1 1 0 1 0 1 0], [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0], [0 0 1 0 1 1 0 1 1 0 1 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 1 1 1 0 1 0 0 1 0 0 0 0 1 1 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 1 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 0 0 0 0], [0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0], [0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 0 trace | topo, topo_head:
[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 0, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 8, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18], 8, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 8 17 18], 16, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 8 17 18], 16, [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 8 17 18], 16, [0 1 2 3 4 5 6 7 8 9 10 11 16 13 14 15 8 17 18], 12, [0 1 2 3 4 5 6 7 8 9 10 11 16 13 14 15 8 12 18], 17, [0 1 2 3 4 5 6 7 8 9 17 11 16 13 14 15 8 12 18], 10, [0 1 2 3 4 5 6 7 8 9 17 11 16 13 14 15 8 12 18], 10, [0 1 2 3 4 5 6 7 8 9 17 11 16 13 14 10 8 12 18], 15, [0 1 2 3 4 15 6 7 8 9 17 11 16 13 14 10 8 12 18], 5, [0 1 5 3 4 15 6 7 8 9 17 11 16 13 14 10 8 12 18], 2, [0 1 5 3 4 15 6 7 8 9 17 11 16 13 14 10 8 12 18], 2, [0 1 5 3 4 15 6 7 8 9 17 11 16 13 14 10 8 12 18], 2, [0 1 5 3 4 15 6 7 8 9 17 11 16 13 2 10 8 12 18], 14, [0 1 5 14 4 15 6 7 8 9 17 11 16 13 2 10 8 12 18], 3, [0 1 5 14 4 15 6 7 8 9 17 11 16 13 2 10 8 12 18], 3, [0 1 5 14 3 15 6 7 8 9 17 11 16 13 2 10 8 12 18], 4, [0 1 5 14 3 15 6 7 8 9 17 11 16 13 2 10 8 12 18], 4, [0 1 5 14 3 15 6 4 8 9 17 11 16 13 2 10 8 12 18], 7, [0 1 5 14 3 15 6 4 8 9 17 11 16 13 2 10 8 12 18], 7, [0 1 5 14 3 15 6 4 8 9 17 11 16 13 2 10 8 12 18], 7, [0 1 5 14 3 15 7 4 8 9 17 11 16 13 2 10 8 12 18], 6, [0 1 5 14 3 15 7 4 8 9 17 11 16 13 2 10 8 12 18], 6, [0 1 5 14 3 15 7 4 8 9 17 11 16 6 2 10 8 12 18], 13, [0 1 5 14 3 15 7 4 8 13 17 11 16 6 2 10 8 12 18], 9, [0 1 5 14 3 15 7 4 8 13 17 11 16 6 2 10 8 12 18], 9, [0 1 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 18], 11, [11 1 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 18], 0, [11 1 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 18], 0, [11 1 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 18], 0, [11 1 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 18], 0, [11 1 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 0], 18 | [11 18 5 14 3 15 7 4 8 13 17 9 16 6 2 10 8 12 0], 1
topological_sort
dag_shortest_paths: s: 12, A: [[0 0 0 0.244 0 0.608 0.41 0 0 0.886 0 0.546 0 0 0.953], [0 0 0 0 0 0 0 0 0 0 0 0 0 0.267 0.502], [0 0 0 0.36 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0.217 0.907 0 0.657 0 0 0 0 0 0 0 0 0 0.597 0.206], [0 0 0 0.72 0 0 0 0.318 0 0 0 0.503 0 0 0.523], [0 0 0.63 0 0 0 0 0 0 0.697 0 0 0 0 0.757], [0 0 0 0.155 0 0 0 0 0.262 0.379 0.649 0 0 0.777 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], [0 0.481 0 0 0 0 0 0 0 0 0 0 0 0.149 0.326], [0 0 0 0 0 0 0 0 0.562 0.264 0 0.87 0.762 0 0.753], [0 0 0.324 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0.576 0 0 0 0 0.293 0 0 0 0 0 0.815], [0 0 0.599 0.259 0 0 0 0 0 0 0 0.317 0 0 0.758], [0 0 0.121 0.05 0 0 0 0 0 0 0 0 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14] trace | pi:
[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 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 12 4 5 6 7 12 9 10 11 12 13 12], [0 1 14 12 4 5 6 7 12 9 10 11 12 13 12], [0 1 14 12 4 5 6 7 12 9 10 11 12 13 12] | [0 1 14 12 4 5 6 7 12 9 10 11 12 13 12]
dag_shortest_paths
matrix_chain_order: p: [0.177 0.573 0.134 0.776 0.305 0.443 0.018 0.423 0.82 0.82], 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 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 0 0 0], [0 0 1 0 0 0 0 0 0 0], [0 0 0 2 0 0 0 0 0 0], [0 0 0 0 3 0 0 0 0 0], [0 0 0 0 0 4 0 0 0 0], [0 0 0 0 0 0 5 0 0 0], [0 0 0 0 0 0 0 6 0 0], [0 0 0 0 0 0 0 0 7 0], [0 0 0 0 0 0 0 0 0 8], [0 0 0 0 0 0 0 0 0 0]], [[0 0 0 0 0 0 0 0 0 0], [0 0 1 2 2 0 0 0 0 0], [0 0 0 2 2 3 0 0 0 0], [0 0 0 0 3 4 4 0 0 0], [0 0 0 0 0 4 4 5 0 0], [0 0 0 0 0 0 5 6 6 0], [0 0 0 0 0 0 0 6 6 7], [0 0 0 0 0 0 0 0 7 8], [0 0 0 0 0 0 0 0 0 8], [0 0 0 0 0 0 0 0 0 0]], [[0 0 0 0 0 0 0 0 0 0], [0 0 1 2 2 2 3 4 4 0], [0 0 0 2 2 2 2 4 4 5], [0 0 0 0 3 4 3 6 6 6], [0 0 0 0 0 4 4 6 6 6], [0 0 0 0 0 0 5 6 6 6], [0 0 0 0 0 0 0 6 6 6], [0 0 0 0 0 0 0 0 7 8], [0 0 0 0 0 0 0 0 0 8], [0 0 0 0 0 0 0 0 0 0]], [[0 0 0 0 0 0 0 0 0 0], [0 0 1 2 2 2 2 6 6 6], [0 0 0 2 2 2 2 6 6 6], [0 0 0 0 3 4 3 6 6 6], [0 0 0 0 0 4 4 6 6 6], [0 0 0 0 0 0 5 6 6 6], [0 0 0 0 0 0 0 6 6 6], [0 0 0 0 0 0 0 0 7 8], [0 0 0 0 0 0 0 0 0 8], [0 0 0 0 0 0 0 0 0 0]], [[0 0 0 0 0 0 0 0 0 0], [0 0 1 2 2 2 1 6 6 6], [0 0 0 2 2 2 2 6 6 6], [0 0 0 0 3 4 3 6 6 6], [0 0 0 0 0 4 4 6 6 6], [0 0 0 0 0 0 5 6 6 6], [0 0 0 0 0 0 0 6 6 6], [0 0 0 0 0 0 0 0 7 8], [0 0 0 0 0 0 0 0 0 8], [0 0 0 0 0 0 0 0 0 0]] | [[0 0 0 0 0 0 0 0 0 0], [0 0 1 2 2 2 1 6 6 6], [0 0 0 2 2 2 2 6 6 6], [0 0 0 0 3 4 3 6 6 6], [0 0 0 0 0 4 4 6 6 6], [0 0 0 0 0 0 5 6 6 6], [0 0 0 0 0 0 0 6 6 6], [0 0 0 0 0 0 0 0 7 8], [0 0 0 0 0 0 0 0 0 8], [0 0 0 0 0 0 0 0 0 0]]
matrix_chain_order
graham_scan: x: [-0.946 0.251 -0.395 -0.814 -0.613 1.75 -0.816 0.551 0.49 -0.199 -0.826 1.55], y: [1.5 -0.729 -1.41 -0.197 -1.86 -0.37 -0.887 -0.247 1.06 -1.47 1.55 -0.623], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[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 1], [0 0 0 0 1 1 0 0 0 0 0 1], [0 0 0 0 1 1 0 0 0 1 0 1], [0 0 0 0 1 1 0 0 0 0 0 1], [0 1 0 0 1 1 0 0 0 0 0 1], [0 0 0 0 1 1 0 0 0 0 0 1], [0 0 0 0 1 1 0 1 0 0 0 1], [0 0 1 0 1 1 0 1 0 0 0 1], [0 0 0 0 1 1 0 1 0 0 0 1], [0 0 0 0 1 1 0 0 0 0 0 1], [0 0 0 0 1 1 0 0 1 0 0 1], [0 0 0 0 1 1 0 0 1 0 1 1], [1 0 0 0 1 1 0 0 1 0 1 1], [1 0 0 1 1 1 0 0 1 0 1 1], [1 0 0 0 1 1 0 0 1 0 1 1] | [1 0 0 0 1 1 1 0 1 0 1 1]
graham_scan
find_maximum_subarray_kadane: key: [0.537 -0.641 -0.597 0.487 0.675 0.047 -0.634 -0.941 -0.499 -0.555 -0.594], initial_trace: (0, 0) trace | (best_low, best_high):
(0, 0), (0, 0), (0, 0), (3, 4), (3, 5), (3, 5), (3, 5), (3, 5), (3, 5) | (3, 5)
find_maximum_subarray_kadane
heapsort: key: [0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433], initial_trace: [0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433] trace | pred:
[0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433], [0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433], [0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433], [0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433], [0.127 0.031 0.981 0.788 0.034 0.499 0.873 0.251 0.816 0.433], [0.127 0.031 0.981 0.788 0.433 0.499 0.873 0.251 0.816 0.034], [0.127 0.031 0.981 0.788 0.433 0.499 0.873 0.251 0.816 0.034], [0.127 0.031 0.981 0.816 0.433 0.499 0.873 0.251 0.788 0.034], [0.127 0.031 0.981 0.816 0.433 0.499 0.873 0.251 0.788 0.034], [0.127 0.031 0.981 0.816 0.433 0.499 0.873 0.251 0.788 0.034], [0.127 0.816 0.981 0.031 0.433 0.499 0.873 0.251 0.788 0.034], [0.127 0.816 0.981 0.788 0.433 0.499 0.873 0.251 0.031 0.034], [0.127 0.816 0.981 0.788 0.433 0.499 0.873 0.251 0.031 0.034], [0.981 0.816 0.127 0.788 0.433 0.499 0.873 0.251 0.031 0.034], [0.981 0.816 0.873 0.788 0.433 0.499 0.127 0.251 0.031 0.034], [0.981 0.816 0.873 0.788 0.433 0.499 0.127 0.251 0.031 0.034], [0.034 0.816 0.873 0.788 0.433 0.499 0.127 0.251 0.031 0.981], [0.873 0.816 0.034 0.788 0.433 0.499 0.127 0.251 0.031 0.981], [0.873 0.816 0.499 0.788 0.433 0.034 0.127 0.251 0.031 0.981], [0.873 0.816 0.499 0.788 0.433 0.034 0.127 0.251 0.031 0.981], [0.031 0.816 0.499 0.788 0.433 0.034 0.127 0.251 0.873 0.981], [0.816 0.031 0.499 0.788 0.433 0.034 0.127 0.251 0.873 0.981], [0.816 0.788 0.499 0.031 0.433 0.034 0.127 0.251 0.873 0.981], [0.816 0.788 0.499 0.251 0.433 0.034 0.127 0.031 0.873 0.981], [0.816 0.788 0.499 0.251 0.433 0.034 0.127 0.031 0.873 0.981], [0.031 0.788 0.499 0.251 0.433 0.034 0.127 0.816 0.873 0.981], [0.788 0.031 0.499 0.251 0.433 0.034 0.127 0.816 0.873 0.981], [0.788 0.433 0.499 0.251 0.031 0.034 0.127 0.816 0.873 0.981], [0.788 0.433 0.499 0.251 0.031 0.034 0.127 0.816 0.873 0.981], [0.127 0.433 0.499 0.251 0.031 0.034 0.788 0.816 0.873 0.981], [0.499 0.433 0.127 0.251 0.031 0.034 0.788 0.816 0.873 0.981], [0.499 0.433 0.127 0.251 0.031 0.034 0.788 0.816 0.873 0.981], [0.034 0.433 0.127 0.251 0.031 0.499 0.788 0.816 0.873 0.981], [0.433 0.034 0.127 0.251 0.031 0.499 0.788 0.816 0.873 0.981], [0.433 0.251 0.127 0.034 0.031 0.499 0.788 0.816 0.873 0.981], [0.433 0.251 0.127 0.034 0.031 0.499 0.788 0.816 0.873 0.981], [0.031 0.251 0.127 0.034 0.433 0.499 0.788 0.816 0.873 0.981], [0.251 0.031 0.127 0.034 0.433 0.499 0.788 0.816 0.873 0.981], [0.251 0.034 0.127 0.031 0.433 0.499 0.788 0.816 0.873 0.981], [0.251 0.034 0.127 0.031 0.433 0.499 0.788 0.816 0.873 0.981], [0.031 0.034 0.127 0.251 0.433 0.499 0.788 0.816 0.873 0.981], [0.127 0.034 0.031 0.251 0.433 0.499 0.788 0.816 0.873 0.981], [0.127 0.034 0.031 0.251 0.433 0.499 0.788 0.816 0.873 0.981], [0.031 0.034 0.127 0.251 0.433 0.499 0.788 0.816 0.873 0.981], [0.034 0.031 0.127 0.251 0.433 0.499 0.788 0.816 0.873 0.981], [0.034 0.031 0.127 0.251 0.433 0.499 0.788 0.816 0.873 0.981], [0.031 0.034 0.127 0.251 0.433 0.499 0.788 0.816 0.873 0.981] | [0.031 0.034 0.127 0.251 0.433 0.499 0.788 0.816 0.873 0.981]
heapsort
quickselect: key: [0.786 0.568 0.647 0.858 0.574 0.33 0.225 0.189 0.477 0.281 0.541 0.029], initial_trace: 11 trace | pivot:
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, 10, 10, 10 | 10
quickselect
bfs: s: 7, A: [[0 0 1 0 0 0 0 1 0 0 1], [0 0 0 1 1 0 0 0 0 1 0], [1 0 1 0 0 0 0 1 1 1 0], [0 1 0 0 0 0 0 0 0 0 1], [0 1 0 0 0 1 0 0 0 0 0], [0 0 0 0 1 1 0 0 0 0 1], [0 0 0 0 0 0 1 1 0 1 0], [1 0 1 0 0 0 1 0 0 0 0], [0 0 1 0 0 0 0 0 1 1 0], [0 1 1 0 0 0 1 0 1 1 0], [1 0 0 1 0 1 0 0 0 0 1]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10] trace | pi:
[7 1 7 3 4 5 7 7 8 9 10], [7 1 7 3 4 5 7 7 2 2 0], [7 9 7 10 4 10 7 7 2 2 0] | [7 9 7 10 1 10 7 7 2 2 0]
bfs
binary_search: key: [0.01 0.105 0.137 0.173 0.234 0.272 0.295 0.448 0.512 0.529 0.545 0.55 0.594 0.719 0.768 0.805 0.853 0.968 0.98], target: 0.993, initial_trace: (0, 18) trace | (low, high):
(10, 18), (15, 18), (17, 18) | (18, 18)
binary_search
mst_prim: s: 0, A: [[0.864 0 0 0 0], [0 0.051 0 0 0], [0 0 0 0 0.71], [0 0 0 0 0], [0 0 0.71 0 0]], initial_trace: [0 1 2 3 4] trace | pi:
| [0 1 2 3 4]
mst_prim
dag_shortest_paths: s: 0, A: [[0 0 0 0 0], [0 0 0.212 0.524 0], [0 0 0 0 0.638], [0 0 0 0 0.722], [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]
dag_shortest_paths
bridges: A: [[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]], 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 -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 -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 -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 -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]]
bridges
jarvis_march: x: [0.598 0.849 -1.06 0.517 -0.789 -0.628 0.985 0.492 0.18 1.32 0.04], y: [-0.438 -0.47 -1.23 1.91 0.489 -1.73 0.878 1.78 0.115 -0.582 -1.29], initial_trace: [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 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 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 0 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 0 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 0 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 0 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0], [0 0 1 1 1 1 1 0 0 1 0] | [0 0 1 1 1 1 1 0 0 1 0]
jarvis_march
mst_prim: s: 12, A: [[0.952 0 0 0 0.887 0.295 0 0.837 0 0 0.779 0 0.335 0 0 0 0.731 0.124 0], [0 0.929 0 0 0 0 0.265 0 0.422 0 0.323 0.375 0 0.681 0 0 0 0 0], [0 0 0 0 0 0 0.417 0.361 0 0.174 0 0 0 0 0.628 0 0 0.929 0], [0 0 0 0.984 0 0 0 0.206 0 0 0 0.26 0 0.746 0 0 0 0 0.822], [0.887 0 0 0 0.799 0 0 0 0 0 0 0 0 0 0 0.647 0 0 0], [0.295 0 0 0 0 0.702 0 0 0.309 0 0 0 0 0 0 0.23 0 0 0], [0 0.265 0.417 0 0 0 0.733 0 0 0.162 0 0.657 0 0 0.374 0 0 0 0], [0.837 0 0.361 0.206 0 0 0 0.539 0 0.239 0 0 0 0.801 0.361 0 0 0 0], [0 0.422 0 0 0 0.309 0 0 0 0 0 0 0 0 0 0 0 0.451 0], [0 0 0.174 0 0 0 0.162 0.239 0 0 0 0 0 0 0 0 0 0 0], [0.779 0.323 0 0 0 0 0 0 0 0 0.106 0 0.107 0 0.338 0.85 0.376 0 0], [0 0.375 0 0.26 0 0 0.657 0 0 0 0 0 0 0 0.692 0 0.172 0 0], [0.335 0 0 0 0 0 0 0 0 0 0.107 0 0 0 0 0 0.751 0 0], [0 0.681 0 0.746 0 0 0 0.801 0 0 0 0 0 0.228 0 0 0 0.131 0], [0 0 0.628 0 0 0 0.374 0.361 0 0 0.338 0.692 0 0 0.062 0 0 0 0], [0 0 0 0 0.647 0.23 0 0 0 0 0.85 0 0 0 0 0 0 0 0], [0.731 0 0 0 0 0 0 0 0 0 0.376 0.172 0.751 0 0 0 0.844 0.426 0], [0.124 0 0.929 0 0 0 0 0 0.451 0 0 0 0 0.131 0 0 0.426 0 0.529], [0 0 0 0.822 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18] trace | pi:
[12 1 2 3 4 5 6 7 8 9 12 11 12 13 14 15 12 17 18], [12 10 2 3 4 5 6 7 8 9 12 11 12 13 10 10 10 17 18], [12 10 2 3 4 5 1 7 1 9 12 1 12 1 10 10 10 17 18], [12 10 6 3 4 5 1 7 1 6 12 1 12 1 10 10 10 17 18], [12 10 9 3 4 5 1 9 1 6 12 1 12 1 10 10 10 17 18], [12 10 9 3 4 5 1 9 1 6 12 1 12 1 10 10 10 2 18], [12 10 9 7 4 5 1 9 1 6 12 1 12 1 10 10 10 2 18], [12 10 9 7 4 5 1 9 1 6 12 3 12 1 10 10 10 2 3], [12 10 9 7 4 5 1 9 1 6 12 3 12 1 10 10 11 2 3], [12 10 9 7 4 5 1 9 1 6 12 3 12 1 10 10 11 16 3], [12 10 9 7 0 0 1 9 1 6 12 3 12 1 10 10 11 0 3], [12 10 9 7 0 0 1 9 1 6 12 3 12 17 10 10 11 0 17], [12 10 9 7 0 0 1 9 1 6 12 3 12 17 10 10 11 0 17], [12 10 9 7 0 0 1 9 5 6 12 3 12 17 10 5 11 0 17], [12 10 9 7 15 0 1 9 5 6 12 3 12 17 10 5 11 0 17], [12 10 9 7 15 0 1 9 5 6 12 3 12 17 10 5 11 0 17], [12 10 9 7 15 0 1 9 5 6 12 3 12 17 10 5 11 0 17], [12 10 9 7 15 0 1 9 5 6 12 3 12 17 10 5 11 0 17] | [12 10 9 7 15 0 1 9 5 6 12 3 12 17 10 5 11 0 17]
mst_prim
dfs: A: [[0 0 1 1 1 1 0 0 1 1 1 1], [1 0 1 1 0 1 0 0 0 1 0 1], [1 1 1 1 0 1 0 1 1 1 1 0], [1 1 1 0 0 1 1 0 1 1 1 1], [1 0 1 1 0 0 1 0 1 0 0 0], [0 1 0 0 0 1 1 0 1 0 0 0], [0 0 1 1 0 1 0 1 0 0 1 1], [0 1 1 1 1 0 0 1 1 1 1 1], [0 1 0 1 1 0 0 1 0 1 1 1], [1 1 0 1 1 1 1 1 1 0 0 1], [1 0 0 1 0 0 1 1 1 0 1 0], [0 0 0 1 0 1 1 1 0 0 0 1]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11] trace | pi:
[0 1 2 3 4 5 6 7 8 9 10 11], [0 1 0 3 4 5 6 7 8 9 10 11], [0 1 0 3 4 5 6 7 8 9 10 11], [0 2 0 3 4 5 6 7 8 9 10 11], [0 2 0 3 4 5 6 7 8 9 10 11], [0 2 0 1 4 5 6 7 8 9 10 11], [0 2 0 1 4 5 6 7 8 9 10 11], [0 2 0 1 4 3 6 7 8 9 10 11], [0 2 0 1 4 3 6 7 8 9 10 11], [0 2 0 1 4 3 5 7 8 9 10 11], [0 2 0 1 4 3 5 7 8 9 10 11], [0 2 0 1 4 3 5 6 8 9 10 11], [0 2 0 1 4 3 5 6 8 9 10 11], [0 2 0 1 7 3 5 6 8 9 10 11], [0 2 0 1 7 3 5 6 8 9 10 11], [0 2 0 1 7 3 5 6 4 9 10 11], [0 2 0 1 7 3 5 6 4 9 10 11], [0 2 0 1 7 3 5 6 4 8 10 11], [0 2 0 1 7 3 5 6 4 8 10 11], [0 2 0 1 7 3 5 6 4 8 10 9], [0 2 0 1 7 3 5 6 4 8 10 9], [0 2 0 1 7 3 5 6 4 8 10 9], [0 2 0 1 7 3 5 6 4 8 10 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9], [0 2 0 1 7 3 5 6 4 8 8 9] | [0 2 0 1 7 3 5 6 4 8 8 9]
dfs
graham_scan: x: [-0.355 0.509 -1.68 -0.785 -1.98 1.16 -0.746 1.35 1.69 1.07 -1.59 -0.8 1.22 -0.4 -0.008 1.08 0.383 1.01 1.06 -0.701 1.48 -1.65 0.269 -1.32 0.377 -0.613 1.41 1.42 -0.493 0.631 1.53], y: [-0.295 -0.827 0.482 -0.794 0.015 0.344 0.505 1.38 -0.375 -1.5 0.679 -0.164 1.54 0.185 -1.78 0.332 0.142 1.12 0.189 0.266 -1.16 0.49 -0.138 -0.832 -1.16 -1.7 0.214 0.884 0.553 1.24 -0.491], 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] trace | in_hull:
[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 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 1 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 1 1 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 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1], [0 0 0 0 0 0 0 0 1 1 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 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 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 0 1 0 0 0 1 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 0 1 0 0 0 0 0 1 0 0 0 0], [0 0 0 0 0 1 0 0 1 1 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 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0], [0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0], [0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0], [0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 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 0 1 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 0 0 1 1 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 1 1 1 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 1 1 1 0 0 1 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 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 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 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0], [1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0], [0 0 0 0 0 0 0 1 1 1 0 0 1 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 1 1 1 1 0 1 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 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 1 0 0 0 0 1 1 1 1 0 1 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 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0] | [0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0]
graham_scan
quickselect: key: [0.553 0.225 0.571 0.376 0.642], initial_trace: 4 trace | pivot:
4, 4, 4, 4, 3, 3, 3, 3, 0 | 0
quickselect
graham_scan: x: [0.821 0.858 1.45 -0.894 -0.967], y: [1.57 0.673 -0.845 -0.256 -1.45], initial_trace: [0 0 0 0 0] trace | in_hull:
[0 0 0 0 1], [0 0 0 0 1], [0 0 1 0 1], [0 1 1 0 1], [0 0 1 0 1], [1 0 1 0 1] | [1 0 1 1 1]
graham_scan
minimum: key: [0.848 0.235 0.523 0.672 0.51 0.398 0.382 0.224 0.938 0.674 0.868 0.212 0.412 0.67 0.178 0.044 0.677 0.594 0.494 0.956 0.834 0.323 0.446 0.754 0.156 0.431 0.053 0.886], initial_trace: 0 trace | min:
1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 11, 11, 11, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 | 15
minimum
binary_search: key: [0.103 0.204 0.27 0.296 0.306 0.384 0.461 0.511 0.521 0.708 0.738 0.776 0.889 0.894 0.899], target: 0.929, initial_trace: (0, 14) trace | (low, high):
(8, 14), (12, 14) | (14, 14)
binary_search
bellman_ford: s: 0, A: [[0.556 0 0.088 0 0 0.109 0.726 0 0.316 0.622 0.319], [0 0 0 0 0 0 0 0 0.337 0.533 0.439], [0.088 0 0 0.868 0 0 0 0 0.358 0.602 0], [0 0 0.868 0.05 0 0 0 0 0.529 0.212 0.343], [0 0 0 0 0.531 0 0.806 0 0.486 0 0], [0.109 0 0 0 0 0.78 0 0 0 0 0.277], [0.726 0 0 0 0.806 0 0.572 0.922 0 0.162 0.443], [0 0 0 0 0 0 0.922 0 0 0.095 0.486], [0.316 0.337 0.358 0.529 0.486 0 0 0 0.855 0.57 0], [0.622 0.533 0.602 0.212 0 0 0.162 0.095 0.57 0 0.614], [0.319 0.439 0 0.343 0 0.277 0.443 0.486 0 0.614 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10] trace | pi:
[0 1 0 3 4 0 0 7 0 0 0] | [0 8 0 10 8 0 0 9 0 0 0]
bellman_ford
quickselect: key: [0.032 0.349 0.2 0.28 0.082 0.845 0.577 0.428 0.501 0.752 0.263 0.425 0.405 0.532 0.205 0.509 0.562 0.164 0.967], initial_trace: 18 trace | pivot:
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 12, 12, 12, 12, 12, 8, 8, 8, 11 | 11
quickselect
graham_scan: x: [0.947 0.357 -0.582 0.775 1.04 -1.57 0.451 1.28 0.143 -1.53 -0.862 -0.637], y: [-0.445 -0.085 1.19 1.1 -1.65 0.172 1.89 0.533 -1.53 0.743 0.097 0.228], initial_trace: [0 0 0 0 0 0 0 0 0 0 0 0] trace | in_hull:
[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 1 0 0 0 0], [1 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 0 1 0 0 1 0 0 0 0], [0 0 0 0 1 0 1 1 0 0 0 0], [0 1 0 0 1 0 1 1 0 0 0 0], [0 0 0 0 1 0 1 1 0 0 0 0], [0 0 1 0 1 0 1 1 0 0 0 0], [0 0 1 0 1 0 1 1 0 0 0 1], [0 0 1 0 1 0 1 1 0 0 0 0], [0 0 0 0 1 0 1 1 0 0 0 0], [0 0 0 0 1 0 1 1 0 1 0 0], [0 0 0 0 1 0 1 1 0 1 1 0], [0 0 0 0 1 0 1 1 0 1 0 0], [0 0 0 0 1 1 1 1 0 1 0 0] | [0 0 0 0 1 1 1 1 1 1 0 0]
graham_scan
bellman_ford: s: 0, A: [[0 0 0 0 0 0.064 0 0 0.777 0.506 0], [0 0 0 0 0 0 0 0 0 0.242 0.456], [0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0.854 0.127 0 0 0 0.61 0 0.25], [0 0 0 0.127 0 0.809 0 0.422 0 0.314 0.051], [0.064 0 0 0 0.809 0.336 0 0 0 0 0], [0 0 0 0 0 0 0.319 0 0 0 0], [0 0 0 0 0.422 0 0 0 0 0 0.883], [0.777 0 0 0.61 0 0 0 0 0.775 0 0], [0.506 0.242 0 0 0.314 0 0 0 0 0.192 0], [0 0.456 0 0.25 0.051 0 0 0.883 0 0 0.529]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10] trace | pi:
[0 1 2 3 4 0 6 7 0 0 10], [0 9 2 8 9 0 6 7 0 0 10] | [0 9 2 4 9 0 6 4 0 0 4]
bellman_ford
optimal_bst: p: [0.013 0.007 0.014 0.048 0.071 0.054 0.066 0.08 0.038 0.057 0], q: [0.04 0.044 0.079 0.036 0.027 0.052 0.021 0.082 0.024 0.084 0.059], 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 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0], [0 0 1 1 0 0 0 0 0 0 0], [0 0 0 2 2 0 0 0 0 0 0], [0 0 0 0 3 4 0 0 0 0 0], [0 0 0 0 0 4 4 0 0 0 0], [0 0 0 0 0 0 5 6 0 0 0], [0 0 0 0 0 0 0 6 7 0 0], [0 0 0 0 0 0 0 0 7 7 0], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 0 0 0 0 0 0 0], [0 0 1 1 2 0 0 0 0 0 0], [0 0 0 2 2 3 0 0 0 0 0], [0 0 0 0 3 4 4 0 0 0 0], [0 0 0 0 0 4 4 5 0 0 0], [0 0 0 0 0 0 5 6 6 0 0], [0 0 0 0 0 0 0 6 7 7 0], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 2 0 0 0 0 0 0], [0 0 1 1 2 3 0 0 0 0 0], [0 0 0 2 2 3 4 0 0 0 0], [0 0 0 0 3 4 4 4 0 0 0], [0 0 0 0 0 4 4 5 6 0 0], [0 0 0 0 0 0 5 6 6 7 0], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 2 3 0 0 0 0 0], [0 0 1 1 2 3 4 0 0 0 0], [0 0 0 2 2 3 4 4 0 0 0], [0 0 0 0 3 4 4 4 6 0 0], [0 0 0 0 0 4 4 5 6 6 0], [0 0 0 0 0 0 5 6 6 7 7], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 2 3 3 0 0 0 0], [0 0 1 1 2 3 4 4 0 0 0], [0 0 0 2 2 3 4 4 4 0 0], [0 0 0 0 3 4 4 4 6 6 0], [0 0 0 0 0 4 4 5 6 6 7], [0 0 0 0 0 0 5 6 6 7 7], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 2 3 3 4 0 0 0], [0 0 1 1 2 3 4 4 4 0 0], [0 0 0 2 2 3 4 4 4 6 0], [0 0 0 0 3 4 4 4 6 6 6], [0 0 0 0 0 4 4 5 6 6 7], [0 0 0 0 0 0 5 6 6 7 7], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 2 3 3 4 4 0 0], [0 0 1 1 2 3 4 4 4 6 0], [0 0 0 2 2 3 4 4 4 6 6], [0 0 0 0 3 4 4 4 6 6 6], [0 0 0 0 0 4 4 5 6 6 7], [0 0 0 0 0 0 5 6 6 7 7], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]], [[0 0 1 1 2 3 3 4 4 4 0], [0 0 1 1 2 3 4 4 4 6 6], [0 0 0 2 2 3 4 4 4 6 6], [0 0 0 0 3 4 4 4 6 6 6], [0 0 0 0 0 4 4 5 6 6 7], [0 0 0 0 0 0 5 6 6 7 7], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]] | [[0 0 1 1 2 3 3 4 4 4 4], [0 0 1 1 2 3 4 4 4 6 6], [0 0 0 2 2 3 4 4 4 6 6], [0 0 0 0 3 4 4 4 6 6 6], [0 0 0 0 0 4 4 5 6 6 7], [0 0 0 0 0 0 5 6 6 7 7], [0 0 0 0 0 0 0 6 7 7 7], [0 0 0 0 0 0 0 0 7 7 8], [0 0 0 0 0 0 0 0 0 8 9], [0 0 0 0 0 0 0 0 0 0 9], [0 0 0 0 0 0 0 0 0 0 0]]
optimal_bst
quickselect: key: [0.719 0.161 0.758 0.778 0.709], initial_trace: 4 trace | pivot:
4, 4, 4, 4, 0, 0 | 0
quickselect
topological_sort: A: [[0 0 0 0 0 0 0 1 0 0 0], [1 0 1 1 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 1 1 0 0 1 1 0 0 1], [1 0 1 1 0 0 1 1 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], [1 1 0 1 0 1 1 1 0 1 0], [0 0 0 0 0 0 0 1 0 0 0], [0 0 0 0 0 0 1 0 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10], 0 trace | topo, topo_head:
[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], 7, [7 1 2 3 4 5 6 7 8 9 10], 0, [7 1 2 3 4 5 6 7 8 9 10], 0, [7 1 2 3 4 5 6 7 8 9 10], 0, [7 1 2 3 4 5 6 7 8 9 10], 0, [7 1 0 3 4 5 6 7 8 9 10], 2, [7 1 0 3 4 5 6 7 8 9 10], 2, [7 1 0 2 4 5 6 7 8 9 10], 3, [7 1 0 2 4 5 6 7 8 9 10], 3, [7 1 0 2 4 5 6 7 8 9 10], 3, [7 1 0 2 4 5 6 7 8 3 10], 9, [7 1 0 2 4 5 9 7 8 3 10], 6, [7 6 0 2 4 5 9 7 8 3 10], 1, [7 6 0 2 4 5 9 7 8 3 10], 1, [7 6 0 2 4 5 9 7 8 3 10], 1, [7 6 0 2 4 5 9 7 8 3 10], 1, [7 6 0 2 4 5 9 7 8 3 1], 10, [7 6 0 2 10 5 9 7 8 3 1], 4, [7 6 0 2 10 5 9 7 8 3 1], 4, [7 6 0 2 10 5 9 7 8 3 1], 4, [7 6 0 2 10 4 9 7 8 3 1], 5, [7 6 0 2 10 4 9 7 8 3 1], 5, [7 6 0 2 10 4 9 7 8 3 1], 5 | [7 6 0 2 10 4 9 7 5 3 1], 8
topological_sort
binary_search: key: [0.068 0.119 0.183 0.204 0.248 0.31 0.321 0.331 0.646 0.69 0.722 0.725 0.739 0.911 0.917 0.921 0.943 0.987 0.99], target: 0.771, initial_trace: (0, 18) trace | (low, high):
(10, 18), (10, 14), (13, 14) | (13, 13)
binary_search
kmp_matcher: string: [0 0 0 1], key: [1 3 0 1], initial_trace: 0 trace | s:
| 0
kmp_matcher
dijkstra: s: 0, A: [[0 0 0.343 0], [0 0.581 0 0.344], [0.343 0 0 0], [0 0.344 0 0.983]], initial_trace: [0 1 2 3] trace | pi:
[0 1 0 3] | [0 1 0 3]
dijkstra
bubble_sort: key: [0.736 0.363 0.926 0.958 0.15 0.883 0.948 0.346 0.287 0.917], initial_trace: [0.736 0.363 0.926 0.958 0.15 0.883 0.948 0.346 0.287 0.917] trace | pred:
[0.736 0.363 0.926 0.958 0.15 0.883 0.948 0.346 0.287 0.917], [0.736 0.363 0.926 0.958 0.15 0.883 0.948 0.287 0.346 0.917], [0.736 0.363 0.926 0.958 0.15 0.883 0.287 0.948 0.346 0.917], [0.736 0.363 0.926 0.958 0.15 0.287 0.883 0.948 0.346 0.917], [0.736 0.363 0.926 0.958 0.15 0.287 0.883 0.948 0.346 0.917], [0.736 0.363 0.926 0.15 0.958 0.287 0.883 0.948 0.346 0.917], [0.736 0.363 0.15 0.926 0.958 0.287 0.883 0.948 0.346 0.917], [0.736 0.15 0.363 0.926 0.958 0.287 0.883 0.948 0.346 0.917], [0.15 0.736 0.363 0.926 0.958 0.287 0.883 0.948 0.346 0.917], [0.15 0.736 0.363 0.926 0.958 0.287 0.883 0.948 0.346 0.917], [0.15 0.736 0.363 0.926 0.958 0.287 0.883 0.346 0.948 0.917], [0.15 0.736 0.363 0.926 0.958 0.287 0.346 0.883 0.948 0.917], [0.15 0.736 0.363 0.926 0.958 0.287 0.346 0.883 0.948 0.917], [0.15 0.736 0.363 0.926 0.287 0.958 0.346 0.883 0.948 0.917], [0.15 0.736 0.363 0.287 0.926 0.958 0.346 0.883 0.948 0.917], [0.15 0.736 0.287 0.363 0.926 0.958 0.346 0.883 0.948 0.917], [0.15 0.287 0.736 0.363 0.926 0.958 0.346 0.883 0.948 0.917], [0.15 0.287 0.736 0.363 0.926 0.958 0.346 0.883 0.917 0.948], [0.15 0.287 0.736 0.363 0.926 0.958 0.346 0.883 0.917 0.948], [0.15 0.287 0.736 0.363 0.926 0.958 0.346 0.883 0.917 0.948], [0.15 0.287 0.736 0.363 0.926 0.346 0.958 0.883 0.917 0.948], [0.15 0.287 0.736 0.363 0.346 0.926 0.958 0.883 0.917 0.948], [0.15 0.287 0.736 0.346 0.363 0.926 0.958 0.883 0.917 0.948], [0.15 0.287 0.346 0.736 0.363 0.926 0.958 0.883 0.917 0.948], [0.15 0.287 0.346 0.736 0.363 0.926 0.958 0.883 0.917 0.948], [0.15 0.287 0.346 0.736 0.363 0.926 0.958 0.883 0.917 0.948], [0.15 0.287 0.346 0.736 0.363 0.926 0.883 0.958 0.917 0.948], [0.15 0.287 0.346 0.736 0.363 0.883 0.926 0.958 0.917 0.948], [0.15 0.287 0.346 0.736 0.363 0.883 0.926 0.958 0.917 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.926 0.958 0.917 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.926 0.958 0.917 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.926 0.917 0.958 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.958 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.958 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.958 0.948], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958], [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958] | [0.15 0.287 0.346 0.363 0.736 0.883 0.917 0.926 0.948 0.958]
bubble_sort
dag_shortest_paths: s: 11, A: [[0 0 0 0 0 0 0 0 0 0 0 0], [0.26 0 0 0 0.253 0 0 0.805 0 0 0 0.984], [0.652 0 0 0 0.734 0.676 0.229 0.722 0 0.149 0 0.694], [0.864 0 0 0 0 0 0 0 0 0 0 0.574], [0 0 0 0 0 0 0 0 0 0 0 0], [0.542 0 0 0.695 0 0 0 0 0 0.982 0 0.548], [0 0.731 0 0 0.526 0.371 0 0 0 0 0 0.63], [0.908 0 0 0 0 0.651 0 0 0 0 0 0], [0.969 0 0 0.651 0.0745 0.166 0 0.716 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0.0929 0 0 0.587 0 0.385 0 0.378], [0 0 0 0 0 0 0 0 0 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11] trace | pi:
[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]
dag_shortest_paths
minimum: key: [0.602 0.188 0.98 0.366 0.268 0.485 0.335 0.483 0.032 0.729 0.753 0.833 0.892 0.393 0.868 0.322 0.328 0.265 0.993], initial_trace: 0 trace | min:
1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 | 8
minimum
dijkstra: s: 3, A: [[0 0 0 0 0 0 0 0 0 0 0.396 0.501 0 0 0 0.59 0 0 0 0.184 0 0 0.931 0 0 0 0 0], [0 0 0 0 0 0 0.816 0.153 0 0.527 0.238 0 0 0.481 0.755 0 0 0.637 0 0 0 0 0.188 0 0 0 0 0], [0 0 0.699 0 0.274 0 0 0.476 0.174 0 0 0 0 0 0 0 0.759 0.41 0 0 0 0 0 0 0.461 0 0 0], [0 0 0 0.256 0 0 0 0.55 0 0 0 0 0.643 0 0.215 0 0 0.522 0 0 0 0 0 0.739 0 0.756 0 0], [0 0 0.274 0 0 0 0 0.403 0 0 0 0 0.405 0 0.486 0.661 0 0 0 0 0 0 0 0 0 0 0 0.571], [0 0 0 0 0 0.127 0 0 0 0 0 0 0.688 0.543 0 0.326 0 0 0.353 0.494 0 0 0.589 0 0 0 0 0.511], [0 0.816 0 0 0 0 0 0 0 0.883 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359 0 0], [0 0.153 0.476 0.55 0.403 0 0 0 0 0 0.325 0 0 0 0 0.105 0.763 0 0 0.549 0 0 0 0 0 0 0 0], [0 0 0.174 0 0 0 0 0 0.171 0.362 0.238 0.381 0 0 0 0 0 0 0 0.281 0 0 0 0 0 0 0 0], [0 0.527 0 0 0 0 0.883 0 0.362 0 0 0.506 0.225 0 0 0 0 0.536 0.173 0 0 0 0.109 0 0 0 0 0.642], [0.396 0.238 0 0 0 0 0 0.325 0.238 0 0.578 0 0 0 0.827 0 0.105 0 0 0.481 0 0 0 0.464 0.603 0 0 0], [0.501 0 0 0 0 0 0 0 0.381 0.506 0 0 0.232 0 0 0 0.126 0 0 0 0 0.54 0 0.293 0 0.458 0.167 0], [0 0 0 0.643 0.405 0.688 0 0 0 0.225 0 0.232 0 0 0 0 0 0.591 0 0 0 0.518 0 0 0.219 0 0 0], [0 0.481 0 0 0 0.543 0 0 0 0 0 0 0 0 0 0.084 0 0 0 0 0 0 0 0 0 0.472 0 0], [0 0.755 0 0.215 0.486 0 0 0 0 0 0.827 0 0 0 0 0.103 0.477 0 0 0 0 0 0 0 0 0 0 0], [0.59 0 0 0 0.661 0.326 0 0.105 0 0 0 0 0 0.084 0.103 0.285 0 0.255 0.212 0.351 0.87 0.395 0.307 0.388 0 0 0 0], [0 0 0.759 0 0 0 0 0.763 0 0 0.105 0.126 0 0 0.477 0 0 0 0 0 0 0 0 0 0 0.825 0.142 0], [0 0.637 0.41 0.522 0 0 0 0 0 0.536 0 0 0.591 0 0 0.255 0 0 0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0.353 0 0 0 0.173 0 0 0 0 0 0.212 0 0 0.089 0 0 0 0 0 0 0.584 0 0], [0.184 0 0 0 0 0.494 0 0.549 0.281 0 0.481 0 0 0 0 0.351 0 0 0 0 0.394 0 0 0.751 0.179 0 0.626 0], [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.87 0 0 0 0.394 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0.54 0.518 0 0 0.395 0 0 0 0 0 0 0 0 0 0 0 0], [0.931 0.188 0 0 0 0.589 0 0 0 0.109 0 0 0 0 0 0.307 0 0 0 0 0 0 0 0 0 0 0.079 0], [0 0 0 0.739 0 0 0 0 0 0 0.464 0.293 0 0 0 0.388 0 0 0 0.751 0 0 0 0 0 0.568 0 0], [0 0 0.461 0 0 0 0 0 0 0 0.603 0 0.219 0 0 0 0 0 0 0.179 0 0 0 0 0.566 0 0 0], [0 0 0 0.756 0 0 0.359 0 0 0 0 0.458 0 0.472 0 0 0.825 0 0.584 0 0 0 0 0.568 0 0.92 0 0], [0 0 0 0 0 0 0 0 0 0 0 0.167 0 0 0 0 0.142 0 0 0.626 0 0 0.079 0 0 0 0 0], [0 0 0 0 0.571 0.511 0 0 0 0.642 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]], initial_trace: [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27] trace | pi:
[0 1 2 3 4 5 6 3 8 9 10 11 3 13 3 15 16 3 18 19 20 21 22 3 24 3 26 27], [0 14 2 3 14 5 6 3 8 9 14 11 3 13 3 14 14 3 18 19 20 21 22 3 24 3 26 27], [15 14 2 3 14 15 6 15 8 9 14 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 26 27], [15 13 2 3 14 15 6 15 8 9 14 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 26 27], [15 7 7 3 14 15 6 15 8 9 7 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 26 27], [15 7 7 3 14 15 6 15 8 17 7 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 26 27], [15 7 7 3 14 15 6 15 8 18 7 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 26 27], [15 7 7 3 14 15 1 15 8 18 7 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 26 27], [15 7 7 3 14 15 1 15 8 18 7 11 3 15 3 14 14 3 15 15 15 15 15 15 24 3 22 27], [15 7 7 3 14 15 1 15 8 18 7 12 3 15 3 14 14 3 15 15 15 15 15 15 12 3 22 27], [15 7 7 3 14 15 1 15 8 18 7 12 3 15 3 14 14 3 15 15 15 15 15 15 12 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 12 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 1 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5], [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5] | [19 7 7 3 14 15 25 15 19 18 7 16 3 15 3 14 14 3 15 15 19 15 15 15 19 3 22 5]
dijkstra
quickselect: key: [0.851 0.818 0.102 0.71 0.167], initial_trace: 4 trace | pivot:
4, 4, 4, 4, 1, 1, 1 | 3
quickselect
quickselect: key: [0.08 0.414 0.607 0.188 0.188 0.606 0.443 0.854 0.731 0.804 0.683], initial_trace: 10 trace | pivot:
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 6, 6, 6, 6, 6, 2, 2 | 5
quickselect
quickselect: key: [0.129 0.418 0.86 0.497 0.161 0.495 0.457 0.535 0.766 0.751 0.012 0.666 0.058 0.726 0.23 0.405 0.127 0.407 0.303 0.553 0.35 0.761 0.337 0.642 0.928 0.295 0.182 0.035], initial_trace: 27 trace | pivot:
27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 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
quickselect
dijkstra: s: 3, A: [[0 0.648 0 0 0], [0.648 0 0 0 0.235], [0 0 0.626 0 0], [0 0 0 0.987 0.427], [0 0.235 0 0.427 0]], initial_trace: [0 1 2 3 4] trace | pi:
[0 1 2 3 3], [0 4 2 3 3], [1 4 2 3 3] | [1 4 2 3 3]
dijkstra
minimum: key: [0.34 0.35 0.319 0.894], initial_trace: 0 trace | min:
0, 2 | 2
minimum
naive_string_matcher: string: [0 0 0 0 0 0 0 0 1 1], key: [3 2 2 0 2 1 2 0 2 1], initial_trace: 0 trace | s:
1, 1, 2, 2, 3, 4 | 4
naive_string_matcher
quickselect: key: [0.269 0.945 0.623 0.457 0.802 0.719 0.897 0.398 0.9 0.667 0.198 0.055], initial_trace: 11 trace | pivot:
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5 | 9
quickselect
binary_search: key: [0.35 0.354 0.388 0.47 0.784], target: 0.825, initial_trace: (0, 4) trace | (low, high):
(3, 4) | (4, 4)
binary_search
graham_scan: x: [1.57 0.734 -1.45 0.119 0.056 -0.85 1.09 -1.03 -0.648 0.208 0.942 0.397 1.69 0.743 -1.25 -0.747 -1.16 0.512 -1.43 -1.72 -0.61 -1.75 -0.191 1.49 1.17 1.12 1.29 -0.608], y: [0.269 -0.452 -0.308 1.23 0.96 0.723 -0.15 -0.297 0.677 0.582 -0.159 1.82 0.429 -1.48 -0.265 -1.38 -1.15 -1.42 -1.33 0.767 -1.26 -0.437 -0.969 -0.811 1.52 0.793 1.31 0.418], 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] trace | in_hull:
[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 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 1 0 0 0 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 1 1 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 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 0 0 1 1 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 1 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 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0], [0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1], [0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0], [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0] | [0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0]
graham_scan