diff --git a/404.html b/404.html index 5c8b5a6..50f06f0 100644 --- a/404.html +++ b/404.html @@ -13,13 +13,13 @@ - - + +
Skip to main content

Page Not Found

We could not find what you were looking for.

Please contact the owner of the site that linked you to the original URL and let them know their link is broken.

- - + + \ No newline at end of file diff --git a/assets/images/bfs_graph_dark-f7a3a78eaf9de049469b4c64e0712867.png b/assets/images/bfs_graph_dark-f7a3a78eaf9de049469b4c64e0712867.png deleted file mode 100644 index 2b06433..0000000 Binary files a/assets/images/bfs_graph_dark-f7a3a78eaf9de049469b4c64e0712867.png and /dev/null differ diff --git a/assets/images/bfs_graph_light-6e21a942bccd92bcce6840da7c3cb056.png b/assets/images/bfs_graph_light-6e21a942bccd92bcce6840da7c3cb056.png deleted file mode 100644 index 3a47c34..0000000 Binary files a/assets/images/bfs_graph_light-6e21a942bccd92bcce6840da7c3cb056.png and /dev/null differ diff --git a/assets/images/bfs_graph_with_additional_edge_dark-c2da6c052b067785e877b4654a13f328.png b/assets/images/bfs_graph_with_additional_edge_dark-c2da6c052b067785e877b4654a13f328.png deleted file mode 100644 index e05d0e0..0000000 Binary files a/assets/images/bfs_graph_with_additional_edge_dark-c2da6c052b067785e877b4654a13f328.png and /dev/null differ diff --git a/assets/images/bfs_graph_with_additional_edge_light-799673ba333298d16327abe67c90507e.png b/assets/images/bfs_graph_with_additional_edge_light-799673ba333298d16327abe67c90507e.png deleted file mode 100644 index 63d9ee2..0000000 Binary files a/assets/images/bfs_graph_with_additional_edge_light-799673ba333298d16327abe67c90507e.png and /dev/null differ diff --git a/assets/images/bfs_tree_dark-34f32262c6e4ffc14983b3ebf9a2f5a9.png b/assets/images/bfs_tree_dark-34f32262c6e4ffc14983b3ebf9a2f5a9.png deleted file mode 100644 index 443fea5..0000000 Binary files a/assets/images/bfs_tree_dark-34f32262c6e4ffc14983b3ebf9a2f5a9.png and /dev/null differ diff --git a/assets/images/bfs_tree_light-61d6723c3c587d565b6280b8b8eca211.png b/assets/images/bfs_tree_light-61d6723c3c587d565b6280b8b8eca211.png deleted file mode 100644 index 2cf7ae4..0000000 Binary files a/assets/images/bfs_tree_light-61d6723c3c587d565b6280b8b8eca211.png and /dev/null differ diff --git a/assets/images/bfs_tree_with_additional_edge_dark-127aa5b00988d4569669a92f5d841dbf.png b/assets/images/bfs_tree_with_additional_edge_dark-127aa5b00988d4569669a92f5d841dbf.png deleted file mode 100644 index 1b1fc63..0000000 Binary files a/assets/images/bfs_tree_with_additional_edge_dark-127aa5b00988d4569669a92f5d841dbf.png and /dev/null differ diff --git a/assets/images/bfs_tree_with_additional_edge_light-93df97e1f9f1883467248532809374d0.png b/assets/images/bfs_tree_with_additional_edge_light-93df97e1f9f1883467248532809374d0.png deleted file mode 100644 index fe54693..0000000 Binary files a/assets/images/bfs_tree_with_additional_edge_light-93df97e1f9f1883467248532809374d0.png and /dev/null differ diff --git a/assets/images/br_2_dark-e8c35bc37b250271cf480f71904c15a7.png b/assets/images/br_2_dark-e8c35bc37b250271cf480f71904c15a7.png deleted file mode 100644 index e31c482..0000000 Binary files a/assets/images/br_2_dark-e8c35bc37b250271cf480f71904c15a7.png and /dev/null differ diff --git a/assets/images/br_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png b/assets/images/br_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png deleted file mode 100644 index fdbf993..0000000 Binary files a/assets/images/br_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png and /dev/null differ diff --git a/assets/images/br_3_dark-a2b8248c182059b67c703f75f58f3784.png b/assets/images/br_3_dark-a2b8248c182059b67c703f75f58f3784.png deleted file mode 100644 index 5ec0154..0000000 Binary files a/assets/images/br_3_dark-a2b8248c182059b67c703f75f58f3784.png and /dev/null differ diff --git a/assets/images/br_3_light-7be3bbcb08f8b7182a1c719693a47615.png b/assets/images/br_3_light-7be3bbcb08f8b7182a1c719693a47615.png deleted file mode 100644 index a6470aa..0000000 Binary files a/assets/images/br_3_light-7be3bbcb08f8b7182a1c719693a47615.png and /dev/null differ diff --git a/assets/images/br_4_dark-eddf4c315becc51f89b0967320f132d8.png b/assets/images/br_4_dark-eddf4c315becc51f89b0967320f132d8.png deleted file mode 100644 index 0878a05..0000000 Binary files a/assets/images/br_4_dark-eddf4c315becc51f89b0967320f132d8.png and /dev/null differ diff --git a/assets/images/br_4_light-d72dfa633794ec97eddce8e3a4b02660.png b/assets/images/br_4_light-d72dfa633794ec97eddce8e3a4b02660.png deleted file mode 100644 index 891c044..0000000 Binary files a/assets/images/br_4_light-d72dfa633794ec97eddce8e3a4b02660.png and /dev/null differ diff --git a/assets/images/br_5_dark-e24da2d7a3fb2ee63ac8e1ea9c2d45a8.png b/assets/images/br_5_dark-e24da2d7a3fb2ee63ac8e1ea9c2d45a8.png deleted file mode 100644 index df8d545..0000000 Binary files a/assets/images/br_5_dark-e24da2d7a3fb2ee63ac8e1ea9c2d45a8.png and /dev/null differ diff --git a/assets/images/br_5_light-efb3568bf4aadb19a9dcc57e748f89d8.png b/assets/images/br_5_light-efb3568bf4aadb19a9dcc57e748f89d8.png deleted file mode 100644 index 2d18350..0000000 Binary files a/assets/images/br_5_light-efb3568bf4aadb19a9dcc57e748f89d8.png and /dev/null differ diff --git a/assets/images/br_6_dark-160fd071a93e279a5339c7976745f8b1.png b/assets/images/br_6_dark-160fd071a93e279a5339c7976745f8b1.png deleted file mode 100644 index 4aa0194..0000000 Binary files a/assets/images/br_6_dark-160fd071a93e279a5339c7976745f8b1.png and /dev/null differ diff --git a/assets/images/br_6_light-b090675f7b30b574af44d667b083e9b7.png b/assets/images/br_6_light-b090675f7b30b574af44d667b083e9b7.png deleted file mode 100644 index 7483fe8..0000000 Binary files a/assets/images/br_6_light-b090675f7b30b574af44d667b083e9b7.png and /dev/null differ diff --git a/assets/images/br_7_dark-35ede8f297484f4305ea7fd23cbddc49.png b/assets/images/br_7_dark-35ede8f297484f4305ea7fd23cbddc49.png deleted file mode 100644 index 3ea4864..0000000 Binary files a/assets/images/br_7_dark-35ede8f297484f4305ea7fd23cbddc49.png and /dev/null differ diff --git a/assets/images/br_7_dark-48445480725921bc67664cac9f225476.svg b/assets/images/br_7_dark-48445480725921bc67664cac9f225476.svg new file mode 100644 index 0000000..1c8533c --- /dev/null +++ b/assets/images/br_7_dark-48445480725921bc67664cac9f225476.svg @@ -0,0 +1,202 @@ + + + + + + +RBTree + + + +140399805910672 + +9 + + + +140399804142928 + +5 + + + +140399805910672->140399804142928 + + + + + +140399805605392 + +15 + + + +140399805910672->140399805605392 + + + + + +140399805700304 + +2 + + + +140399804142928->140399805700304 + + + + + +R140399804142928 + + + + +140399804142928->R140399804142928 + + + + + +L140399805700304 + + + + +140399805700304->L140399805700304 + + + + + +R140399805700304 + + + + +140399805700304->R140399805700304 + + + + + +140399805603280 + +12 + + + +140399805605392->140399805603280 + + + + + +140399805700368 + +18 + + + +140399805605392->140399805700368 + + + + + +L140399805603280 + + + + +140399805603280->L140399805603280 + + + + + +140399805605456 + +13 + + + +140399805603280->140399805605456 + + + + + +L140399805605456 + + + + +140399805605456->L140399805605456 + + + + + +R140399805605456 + + + + +140399805605456->R140399805605456 + + + + + +L140399805700368 + + + + +140399805700368->L140399805700368 + + + + + +140399805605584 + +19 + + + +140399805700368->140399805605584 + + + + + +L140399805605584 + + + + +140399805605584->L140399805605584 + + + + + +R140399805605584 + + + + +140399805605584->R140399805605584 + + + + + diff --git a/assets/images/br_7_light-018e13c41ce1fc6257c4c65748aaae27.png b/assets/images/br_7_light-018e13c41ce1fc6257c4c65748aaae27.png deleted file mode 100644 index 8e75618..0000000 Binary files a/assets/images/br_7_light-018e13c41ce1fc6257c4c65748aaae27.png and /dev/null differ diff --git a/assets/images/br_7_light-e3494c1dc9b1d352580427c76be40a01.svg b/assets/images/br_7_light-e3494c1dc9b1d352580427c76be40a01.svg new file mode 100644 index 0000000..bee4ffe --- /dev/null +++ b/assets/images/br_7_light-e3494c1dc9b1d352580427c76be40a01.svg @@ -0,0 +1,202 @@ + + + + + + +RBTree + + + +140399805910672 + +9 + + + +140399804142928 + +5 + + + +140399805910672->140399804142928 + + + + + +140399805605392 + +15 + + + +140399805910672->140399805605392 + + + + + +140399805700304 + +2 + + + +140399804142928->140399805700304 + + + + + +R140399804142928 + + + + +140399804142928->R140399804142928 + + + + + +L140399805700304 + + + + +140399805700304->L140399805700304 + + + + + +R140399805700304 + + + + +140399805700304->R140399805700304 + + + + + +140399805603280 + +12 + + + +140399805605392->140399805603280 + + + + + +140399805700368 + +18 + + + +140399805605392->140399805700368 + + + + + +L140399805603280 + + + + +140399805603280->L140399805603280 + + + + + +140399805605456 + +13 + + + +140399805603280->140399805605456 + + + + + +L140399805605456 + + + + +140399805605456->L140399805605456 + + + + + +R140399805605456 + + + + +140399805605456->R140399805605456 + + + + + +L140399805700368 + + + + +140399805700368->L140399805700368 + + + + + +140399805605584 + +19 + + + +140399805700368->140399805605584 + + + + + +L140399805605584 + + + + +140399805605584->L140399805605584 + + + + + +R140399805605584 + + + + +140399805605584->R140399805605584 + + + + + diff --git a/assets/images/br_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png b/assets/images/br_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png deleted file mode 100644 index f68c4c2..0000000 Binary files a/assets/images/br_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png and /dev/null differ diff --git a/assets/images/br_8_dark-e63a22ae61187d5745542c84a04ded26.svg b/assets/images/br_8_dark-e63a22ae61187d5745542c84a04ded26.svg new file mode 100644 index 0000000..1d7a2a6 --- /dev/null +++ b/assets/images/br_8_dark-e63a22ae61187d5745542c84a04ded26.svg @@ -0,0 +1,225 @@ + + + + + + +RBTree + + + +140399805910672 + +9 + + + +140399804142928 + +5 + + + +140399805910672->140399804142928 + + + + + +140399805605392 + +15 + + + +140399805910672->140399805605392 + + + + + +140399805700304 + +2 + + + +140399804142928->140399805700304 + + + + + +R140399804142928 + + + + +140399804142928->R140399804142928 + + + + + +L140399805700304 + + + + +140399805700304->L140399805700304 + + + + + +R140399805700304 + + + + +140399805700304->R140399805700304 + + + + + +140399805603280 + +12 + + + +140399805605392->140399805603280 + + + + + +140399805700368 + +18 + + + +140399805605392->140399805700368 + + + + + +L140399805603280 + + + + +140399805603280->L140399805603280 + + + + + +140399805605456 + +13 + + + +140399805603280->140399805605456 + + + + + +L140399805605456 + + + + +140399805605456->L140399805605456 + + + + + +R140399805605456 + + + + +140399805605456->R140399805605456 + + + + + +140399804318928 + +17 + + + +140399805700368->140399804318928 + + + + + +140399805605584 + +19 + + + +140399805700368->140399805605584 + + + + + +L140399804318928 + + + + +140399804318928->L140399804318928 + + + + + +R140399804318928 + + + + +140399804318928->R140399804318928 + + + + + +L140399805605584 + + + + +140399805605584->L140399805605584 + + + + + +R140399805605584 + + + + +140399805605584->R140399805605584 + + + + + diff --git a/assets/images/br_8_light-10d25c55c1838a408ab5dad21a9da058.svg b/assets/images/br_8_light-10d25c55c1838a408ab5dad21a9da058.svg new file mode 100644 index 0000000..bb7717a --- /dev/null +++ b/assets/images/br_8_light-10d25c55c1838a408ab5dad21a9da058.svg @@ -0,0 +1,225 @@ + + + + + + +RBTree + + + +140399805910672 + +9 + + + +140399804142928 + +5 + + + +140399805910672->140399804142928 + + + + + +140399805605392 + +15 + + + +140399805910672->140399805605392 + + + + + +140399805700304 + +2 + + + +140399804142928->140399805700304 + + + + + +R140399804142928 + + + + +140399804142928->R140399804142928 + + + + + +L140399805700304 + + + + +140399805700304->L140399805700304 + + + + + +R140399805700304 + + + + +140399805700304->R140399805700304 + + + + + +140399805603280 + +12 + + + +140399805605392->140399805603280 + + + + + +140399805700368 + +18 + + + +140399805605392->140399805700368 + + + + + +L140399805603280 + + + + +140399805603280->L140399805603280 + + + + + +140399805605456 + +13 + + + +140399805603280->140399805605456 + + + + + +L140399805605456 + + + + +140399805605456->L140399805605456 + + + + + +R140399805605456 + + + + +140399805605456->R140399805605456 + + + + + +140399804318928 + +17 + + + +140399805700368->140399804318928 + + + + + +140399805605584 + +19 + + + +140399805700368->140399805605584 + + + + + +L140399804318928 + + + + +140399804318928->L140399804318928 + + + + + +R140399804318928 + + + + +140399804318928->R140399804318928 + + + + + +L140399805605584 + + + + +140399805605584->L140399805605584 + + + + + +R140399805605584 + + + + +140399805605584->R140399805605584 + + + + + diff --git a/assets/images/br_8_light-81ac4c8a3988bd43c66f563cd4799d61.png b/assets/images/br_8_light-81ac4c8a3988bd43c66f563cd4799d61.png deleted file mode 100644 index d2cb42b..0000000 Binary files a/assets/images/br_8_light-81ac4c8a3988bd43c66f563cd4799d61.png and /dev/null differ diff --git a/assets/images/construction_dark-fac28e7cafcc43d7e2fb5f0b6c25504e.svg b/assets/images/construction_dark-fac28e7cafcc43d7e2fb5f0b6c25504e.svg new file mode 100644 index 0000000..7dd1213 --- /dev/null +++ b/assets/images/construction_dark-fac28e7cafcc43d7e2fb5f0b6c25504e.svg @@ -0,0 +1,194 @@ + + + + + + +G + + + +a_node + +1 + +2 + +3 + +4 + +5 + +6 + +7 + +8 + +9 + + + +b_node + +1 + +2 + +3 + + + +a_node->b_node + + +B + + + +c_node + +4 + +5 + +6 + + + +a_node->c_node + + +C + + + +d_node + +7 + +8 + +9 + + + +a_node->d_node + + +D + + + +1 + +1 + + + +b_node->1 + + + + + +2 + +2 + + + +b_node->2 + + + + + +3 + +3 + + + +b_node->3 + + + + + +4 + +4 + + + +c_node->4 + + + + + +5 + +5 + + + +c_node->5 + + + + + +6 + +6 + + + +c_node->6 + + + + + +7 + +7 + + + +d_node->7 + + + + + +8 + +8 + + + +d_node->8 + + + + + +9 + +9 + + + +d_node->9 + + + + + diff --git a/assets/images/construction_dark-fcb91acb746c787329bf9bd3cb54c5b7.png b/assets/images/construction_dark-fcb91acb746c787329bf9bd3cb54c5b7.png deleted file mode 100644 index 58e8fca..0000000 Binary files a/assets/images/construction_dark-fcb91acb746c787329bf9bd3cb54c5b7.png and /dev/null differ diff --git a/assets/images/construction_light-02b0be76041a8b1379107378e8f8b64c.svg b/assets/images/construction_light-02b0be76041a8b1379107378e8f8b64c.svg new file mode 100644 index 0000000..4b338be --- /dev/null +++ b/assets/images/construction_light-02b0be76041a8b1379107378e8f8b64c.svg @@ -0,0 +1,194 @@ + + + + + + +G + + + +a_node + +1 + +2 + +3 + +4 + +5 + +6 + +7 + +8 + +9 + + + +b_node + +1 + +2 + +3 + + + +a_node->b_node + + +B + + + +c_node + +4 + +5 + +6 + + + +a_node->c_node + + +C + + + +d_node + +7 + +8 + +9 + + + +a_node->d_node + + +D + + + +1 + +1 + + + +b_node->1 + + + + + +2 + +2 + + + +b_node->2 + + + + + +3 + +3 + + + +b_node->3 + + + + + +4 + +4 + + + +c_node->4 + + + + + +5 + +5 + + + +c_node->5 + + + + + +6 + +6 + + + +c_node->6 + + + + + +7 + +7 + + + +d_node->7 + + + + + +8 + +8 + + + +d_node->8 + + + + + +9 + +9 + + + +d_node->9 + + + + + diff --git a/assets/images/construction_light-dda6c5aa625d6e6c14c01589117281c2.png b/assets/images/construction_light-dda6c5aa625d6e6c14c01589117281c2.png deleted file mode 100644 index d5b60de..0000000 Binary files a/assets/images/construction_light-dda6c5aa625d6e6c14c01589117281c2.png and /dev/null differ diff --git a/assets/images/correct_dark-bbd8d4c1796b145025fed5b6dff03b84.png b/assets/images/correct_dark-bbd8d4c1796b145025fed5b6dff03b84.png deleted file mode 100644 index a6473fa..0000000 Binary files a/assets/images/correct_dark-bbd8d4c1796b145025fed5b6dff03b84.png and /dev/null differ diff --git a/assets/images/correct_light-bc4770146072f748be4a5aa11abf3a0c.png b/assets/images/correct_light-bc4770146072f748be4a5aa11abf3a0c.png deleted file mode 100644 index 26a58d5..0000000 Binary files a/assets/images/correct_light-bc4770146072f748be4a5aa11abf3a0c.png and /dev/null differ diff --git a/assets/images/incorrect_dark-9b8b3be328ffad83233de4536c120016.png b/assets/images/incorrect_dark-9b8b3be328ffad83233de4536c120016.png deleted file mode 100644 index 397fdc5..0000000 Binary files a/assets/images/incorrect_dark-9b8b3be328ffad83233de4536c120016.png and /dev/null differ diff --git a/assets/images/incorrect_dark-d9c04aed74f7d364c3c3b1855b769ab0.svg b/assets/images/incorrect_dark-d9c04aed74f7d364c3c3b1855b769ab0.svg new file mode 100644 index 0000000..59b3fde --- /dev/null +++ b/assets/images/incorrect_dark-d9c04aed74f7d364c3c3b1855b769ab0.svg @@ -0,0 +1,202 @@ + + + + + + +%3 + + + +Node(value=3, rank=2) + +3 + + + +Node(value=1, rank=1) + +1 + + + +Node(value=3, rank=2)->Node(value=1, rank=1) + + + + + +Node(value=5, rank=1) + +5 + + + +Node(value=3, rank=2)->Node(value=5, rank=1) + + + + + +Node(value=0, rank=0) + +0 + + + +Node(value=1, rank=1)->Node(value=0, rank=0) + + + + + +Node(value=2, rank=0) + +2 + + + +Node(value=1, rank=1)->Node(value=2, rank=0) + + + + + +Node(value=4, rank=0) + +4 + + + +nil6 + + + + +Node(value=4, rank=0)->nil6 + + + + + +nil7 + + + + +Node(value=4, rank=0)->nil7 + + + + + +Node(value=7, rank=0) + +7 + + + +nil8 + + + + +Node(value=7, rank=0)->nil8 + + + + + +8 + +8 + + + +Node(value=7, rank=0)->8 + + + + + +nil2 + + + + +Node(value=0, rank=0)->nil2 + + + + + +nil3 + + + + +Node(value=0, rank=0)->nil3 + + + + + +nil4 + + + + +Node(value=2, rank=0)->nil4 + + + + + +nil5 + + + + +Node(value=2, rank=0)->nil5 + + + + + +Node(value=5, rank=1)->Node(value=4, rank=0) + + + + + +Node(value=5, rank=1)->Node(value=7, rank=0) + + + + + +nil9 + + + + +nil10 + + + + +8->nil9 + + + + + +8->nil10 + + + + + diff --git a/assets/images/incorrect_light-e787e568e9a1528dcac5bf55ef29fdaa.png b/assets/images/incorrect_light-e787e568e9a1528dcac5bf55ef29fdaa.png deleted file mode 100644 index 4e5e452..0000000 Binary files a/assets/images/incorrect_light-e787e568e9a1528dcac5bf55ef29fdaa.png and /dev/null differ diff --git a/assets/images/rb_dark-2917b0f8de62597646b619102f126a53.svg b/assets/images/rb_dark-2917b0f8de62597646b619102f126a53.svg new file mode 100644 index 0000000..43b0928 --- /dev/null +++ b/assets/images/rb_dark-2917b0f8de62597646b619102f126a53.svg @@ -0,0 +1,259 @@ + + + + + + +%3 + + + +Node(value=3, rank=2) + +3 + + + +Node(value=1, rank=1) + +1 + + + +Node(value=3, rank=2)->Node(value=1, rank=1) + + + + + +Node(value=5, rank=1) + +5 + + + +Node(value=3, rank=2)->Node(value=5, rank=1) + + + + + +Node(value=0, rank=0) + +0 + + + +Node(value=1, rank=1)->Node(value=0, rank=0) + + + + + +Node(value=2, rank=0) + +2 + + + +Node(value=1, rank=1)->Node(value=2, rank=0) + + + + + +Node(value=4, rank=0) + +4 + + + +nil6 + +nil + + + +Node(value=4, rank=0)->nil6 + + + + + +nil7 + +nil + + + +Node(value=4, rank=0)->nil7 + + + + + +Node(value=7, rank=1) + +7 + + + +Node(value=6, rank=0) + +6 + + + +Node(value=7, rank=1)->Node(value=6, rank=0) + + + + + +Node(value=8, rank=0) + +8 + + + +Node(value=7, rank=1)->Node(value=8, rank=0) + + + + + +nil2 + +nil + + + +Node(value=0, rank=0)->nil2 + + + + + +nil3 + +nil + + + +Node(value=0, rank=0)->nil3 + + + + + +nil4 + +nil + + + +Node(value=2, rank=0)->nil4 + + + + + +nil5 + +nil + + + +Node(value=2, rank=0)->nil5 + + + + + +Node(value=5, rank=1)->Node(value=4, rank=0) + + + + + +Node(value=5, rank=1)->Node(value=7, rank=1) + + + + + +nil8 + +nil + + + +Node(value=6, rank=0)->nil8 + + + + + +nil9 + +nil + + + +Node(value=6, rank=0)->nil9 + + + + + +nil1 + +nil + + + +Node(value=8, rank=0)->nil1 + + + + + +Node(value=9, rank=0) + +9 + + + +Node(value=8, rank=0)->Node(value=9, rank=0) + + + + + +nil10 + +nil + + + +nil11 + +nil + + + +Node(value=9, rank=0)->nil10 + + + + + +Node(value=9, rank=0)->nil11 + + + + + diff --git a/assets/images/rb_dark-c025d61dee7913262c86277087751328.png b/assets/images/rb_dark-c025d61dee7913262c86277087751328.png deleted file mode 100644 index 450a983..0000000 Binary files a/assets/images/rb_dark-c025d61dee7913262c86277087751328.png and /dev/null differ diff --git a/assets/images/rb_height_dark-75a70ddff74e5e1aff7e9986221b5687.png b/assets/images/rb_height_dark-75a70ddff74e5e1aff7e9986221b5687.png deleted file mode 100644 index 0a9c6c7..0000000 Binary files a/assets/images/rb_height_dark-75a70ddff74e5e1aff7e9986221b5687.png and /dev/null differ diff --git a/assets/images/rb_height_dark-921b2d98d9fe1e579474faf36486f281.svg b/assets/images/rb_height_dark-921b2d98d9fe1e579474faf36486f281.svg new file mode 100644 index 0000000..8ff6fa5 --- /dev/null +++ b/assets/images/rb_height_dark-921b2d98d9fe1e579474faf36486f281.svg @@ -0,0 +1,259 @@ + + + + + + +%3 + + + +Node(value=3, rank=2) + +3⁽³⁾ + + + +Node(value=1, rank=1) + +1⁽²⁾ + + + +Node(value=3, rank=2)->Node(value=1, rank=1) + + + + + +Node(value=5, rank=1) + +5⁽²⁾ + + + +Node(value=3, rank=2)->Node(value=5, rank=1) + + + + + +Node(value=0, rank=0) + +0⁽¹⁾ + + + +Node(value=1, rank=1)->Node(value=0, rank=0) + + + + + +Node(value=2, rank=0) + +2⁽¹⁾ + + + +Node(value=1, rank=1)->Node(value=2, rank=0) + + + + + +Node(value=4, rank=0) + +4⁽¹⁾ + + + +nil6 + +nil + + + +Node(value=4, rank=0)->nil6 + + + + + +nil7 + +nil + + + +Node(value=4, rank=0)->nil7 + + + + + +Node(value=7, rank=1) + +7⁽²⁾ + + + +Node(value=6, rank=0) + +6⁽¹⁾ + + + +Node(value=7, rank=1)->Node(value=6, rank=0) + + + + + +Node(value=8, rank=0) + +8⁽¹⁾ + + + +Node(value=7, rank=1)->Node(value=8, rank=0) + + + + + +nil2 + +nil + + + +Node(value=0, rank=0)->nil2 + + + + + +nil3 + +nil + + + +Node(value=0, rank=0)->nil3 + + + + + +nil4 + +nil + + + +Node(value=2, rank=0)->nil4 + + + + + +nil5 + +nil + + + +Node(value=2, rank=0)->nil5 + + + + + +Node(value=5, rank=1)->Node(value=4, rank=0) + + + + + +Node(value=5, rank=1)->Node(value=7, rank=1) + + + + + +nil8 + +nil + + + +Node(value=6, rank=0)->nil8 + + + + + +nil9 + +nil + + + +Node(value=6, rank=0)->nil9 + + + + + +nil1 + +nil + + + +Node(value=8, rank=0)->nil1 + + + + + +Node(value=9, rank=0) + +9⁽¹⁾ + + + +Node(value=8, rank=0)->Node(value=9, rank=0) + + + + + +nil10 + +nil + + + +nil11 + +nil + + + +Node(value=9, rank=0)->nil10 + + + + + +Node(value=9, rank=0)->nil11 + + + + + diff --git a/assets/images/rb_height_light-0aff6e7a40a9f601e0dd1114e43e43b1.svg b/assets/images/rb_height_light-0aff6e7a40a9f601e0dd1114e43e43b1.svg new file mode 100644 index 0000000..1929e47 --- /dev/null +++ b/assets/images/rb_height_light-0aff6e7a40a9f601e0dd1114e43e43b1.svg @@ -0,0 +1,259 @@ + + + + + + +%3 + + + +Node(value=3, rank=2) + +3⁽³⁾ + + + +Node(value=1, rank=1) + +1⁽²⁾ + + + +Node(value=3, rank=2)->Node(value=1, rank=1) + + + + + +Node(value=5, rank=1) + +5⁽²⁾ + + + +Node(value=3, rank=2)->Node(value=5, rank=1) + + + + + +Node(value=0, rank=0) + +0⁽¹⁾ + + + +Node(value=1, rank=1)->Node(value=0, rank=0) + + + + + +Node(value=2, rank=0) + +2⁽¹⁾ + + + +Node(value=1, rank=1)->Node(value=2, rank=0) + + + + + +Node(value=4, rank=0) + +4⁽¹⁾ + + + +nil6 + +nil + + + +Node(value=4, rank=0)->nil6 + + + + + +nil7 + +nil + + + +Node(value=4, rank=0)->nil7 + + + + + +Node(value=7, rank=1) + +7⁽²⁾ + + + +Node(value=6, rank=0) + +6⁽¹⁾ + + + +Node(value=7, rank=1)->Node(value=6, rank=0) + + + + + +Node(value=8, rank=0) + +8⁽¹⁾ + + + +Node(value=7, rank=1)->Node(value=8, rank=0) + + + + + +nil2 + +nil + + + +Node(value=0, rank=0)->nil2 + + + + + +nil3 + +nil + + + +Node(value=0, rank=0)->nil3 + + + + + +nil4 + +nil + + + +Node(value=2, rank=0)->nil4 + + + + + +nil5 + +nil + + + +Node(value=2, rank=0)->nil5 + + + + + +Node(value=5, rank=1)->Node(value=4, rank=0) + + + + + +Node(value=5, rank=1)->Node(value=7, rank=1) + + + + + +nil8 + +nil + + + +Node(value=6, rank=0)->nil8 + + + + + +nil9 + +nil + + + +Node(value=6, rank=0)->nil9 + + + + + +nil1 + +nil + + + +Node(value=8, rank=0)->nil1 + + + + + +Node(value=9, rank=0) + +9⁽¹⁾ + + + +Node(value=8, rank=0)->Node(value=9, rank=0) + + + + + +nil10 + +nil + + + +nil11 + +nil + + + +Node(value=9, rank=0)->nil10 + + + + + +Node(value=9, rank=0)->nil11 + + + + + diff --git a/assets/images/rb_height_light-36fa69317ced094d7bb7b0fdf32cb3fe.png b/assets/images/rb_height_light-36fa69317ced094d7bb7b0fdf32cb3fe.png deleted file mode 100644 index 1b611c7..0000000 Binary files a/assets/images/rb_height_light-36fa69317ced094d7bb7b0fdf32cb3fe.png and /dev/null differ diff --git a/assets/images/rb_light-9889570d993cf4a78a1bcccfbd76eab4.svg b/assets/images/rb_light-9889570d993cf4a78a1bcccfbd76eab4.svg new file mode 100644 index 0000000..42c4d87 --- /dev/null +++ b/assets/images/rb_light-9889570d993cf4a78a1bcccfbd76eab4.svg @@ -0,0 +1,259 @@ + + + + + + +%3 + + + +Node(value=3, rank=2) + +3 + + + +Node(value=1, rank=1) + +1 + + + +Node(value=3, rank=2)->Node(value=1, rank=1) + + + + + +Node(value=5, rank=1) + +5 + + + +Node(value=3, rank=2)->Node(value=5, rank=1) + + + + + +Node(value=0, rank=0) + +0 + + + +Node(value=1, rank=1)->Node(value=0, rank=0) + + + + + +Node(value=2, rank=0) + +2 + + + +Node(value=1, rank=1)->Node(value=2, rank=0) + + + + + +Node(value=4, rank=0) + +4 + + + +nil6 + +nil + + + +Node(value=4, rank=0)->nil6 + + + + + +nil7 + +nil + + + +Node(value=4, rank=0)->nil7 + + + + + +Node(value=7, rank=1) + +7 + + + +Node(value=6, rank=0) + +6 + + + +Node(value=7, rank=1)->Node(value=6, rank=0) + + + + + +Node(value=8, rank=0) + +8 + + + +Node(value=7, rank=1)->Node(value=8, rank=0) + + + + + +nil2 + +nil + + + +Node(value=0, rank=0)->nil2 + + + + + +nil3 + +nil + + + +Node(value=0, rank=0)->nil3 + + + + + +nil4 + +nil + + + +Node(value=2, rank=0)->nil4 + + + + + +nil5 + +nil + + + +Node(value=2, rank=0)->nil5 + + + + + +Node(value=5, rank=1)->Node(value=4, rank=0) + + + + + +Node(value=5, rank=1)->Node(value=7, rank=1) + + + + + +nil8 + +nil + + + +Node(value=6, rank=0)->nil8 + + + + + +nil9 + +nil + + + +Node(value=6, rank=0)->nil9 + + + + + +nil1 + +nil + + + +Node(value=8, rank=0)->nil1 + + + + + +Node(value=9, rank=0) + +9 + + + +Node(value=8, rank=0)->Node(value=9, rank=0) + + + + + +nil10 + +nil + + + +nil11 + +nil + + + +Node(value=9, rank=0)->nil10 + + + + + +Node(value=9, rank=0)->nil11 + + + + + diff --git a/assets/images/rb_light-f53bee3b32ddb2e7a4249828bc03b1a4.png b/assets/images/rb_light-f53bee3b32ddb2e7a4249828bc03b1a4.png deleted file mode 100644 index a73079e..0000000 Binary files a/assets/images/rb_light-f53bee3b32ddb2e7a4249828bc03b1a4.png and /dev/null differ diff --git a/assets/images/rr_2_dark-e8c35bc37b250271cf480f71904c15a7.png b/assets/images/rr_2_dark-e8c35bc37b250271cf480f71904c15a7.png deleted file mode 100644 index e31c482..0000000 Binary files a/assets/images/rr_2_dark-e8c35bc37b250271cf480f71904c15a7.png and /dev/null differ diff --git a/assets/images/rr_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png b/assets/images/rr_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png deleted file mode 100644 index fdbf993..0000000 Binary files a/assets/images/rr_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png and /dev/null differ diff --git a/assets/images/rr_3_dark-4e8b2ca938738395e438b7fc2fc5dfe4.png b/assets/images/rr_3_dark-4e8b2ca938738395e438b7fc2fc5dfe4.png deleted file mode 100644 index e8c10fe..0000000 Binary files a/assets/images/rr_3_dark-4e8b2ca938738395e438b7fc2fc5dfe4.png and /dev/null differ diff --git a/assets/images/rr_3_light-51521ba414ff3a3530ed0109cfab799d.png b/assets/images/rr_3_light-51521ba414ff3a3530ed0109cfab799d.png deleted file mode 100644 index d236d68..0000000 Binary files a/assets/images/rr_3_light-51521ba414ff3a3530ed0109cfab799d.png and /dev/null differ diff --git a/assets/images/rr_4_dark-3cc1c8d4b39707d2a51b51f4f1b29dc8.png b/assets/images/rr_4_dark-3cc1c8d4b39707d2a51b51f4f1b29dc8.png deleted file mode 100644 index c5614a0..0000000 Binary files a/assets/images/rr_4_dark-3cc1c8d4b39707d2a51b51f4f1b29dc8.png and /dev/null differ diff --git a/assets/images/rr_4_light-631a0b3947be21a12b3a489f0cd0c3c4.png b/assets/images/rr_4_light-631a0b3947be21a12b3a489f0cd0c3c4.png deleted file mode 100644 index 80c47f8..0000000 Binary files a/assets/images/rr_4_light-631a0b3947be21a12b3a489f0cd0c3c4.png and /dev/null differ diff --git a/assets/images/rr_5_dark-9028cc10e78c05cb669d5d438dcbf93f.png b/assets/images/rr_5_dark-9028cc10e78c05cb669d5d438dcbf93f.png deleted file mode 100644 index b7ce250..0000000 Binary files a/assets/images/rr_5_dark-9028cc10e78c05cb669d5d438dcbf93f.png and /dev/null differ diff --git a/assets/images/rr_5_light-6b8f80047906eb1f58472d231eb9b12a.png b/assets/images/rr_5_light-6b8f80047906eb1f58472d231eb9b12a.png deleted file mode 100644 index e32514a..0000000 Binary files a/assets/images/rr_5_light-6b8f80047906eb1f58472d231eb9b12a.png and /dev/null differ diff --git a/assets/images/rr_6_dark-160fd071a93e279a5339c7976745f8b1.png b/assets/images/rr_6_dark-160fd071a93e279a5339c7976745f8b1.png deleted file mode 100644 index 4aa0194..0000000 Binary files a/assets/images/rr_6_dark-160fd071a93e279a5339c7976745f8b1.png and /dev/null differ diff --git a/assets/images/rr_6_light-b090675f7b30b574af44d667b083e9b7.png b/assets/images/rr_6_light-b090675f7b30b574af44d667b083e9b7.png deleted file mode 100644 index 7483fe8..0000000 Binary files a/assets/images/rr_6_light-b090675f7b30b574af44d667b083e9b7.png and /dev/null differ diff --git a/assets/images/rr_7_dark-35ede8f297484f4305ea7fd23cbddc49.png b/assets/images/rr_7_dark-35ede8f297484f4305ea7fd23cbddc49.png deleted file mode 100644 index 3ea4864..0000000 Binary files a/assets/images/rr_7_dark-35ede8f297484f4305ea7fd23cbddc49.png and /dev/null differ diff --git a/assets/images/rr_7_dark-f8796e7eda13a89d198098744b079384.svg b/assets/images/rr_7_dark-f8796e7eda13a89d198098744b079384.svg new file mode 100644 index 0000000..adad552 --- /dev/null +++ b/assets/images/rr_7_dark-f8796e7eda13a89d198098744b079384.svg @@ -0,0 +1,202 @@ + + + + + + +RBTree + + + +139660434247376 + +9 + + + +139660436098128 + +5 + + + +139660434247376->139660436098128 + + + + + +139660435793424 + +15 + + + +139660434247376->139660435793424 + + + + + +139660435887760 + +2 + + + +139660436098128->139660435887760 + + + + + +R139660436098128 + + + + +139660436098128->R139660436098128 + + + + + +L139660435887760 + + + + +139660435887760->L139660435887760 + + + + + +R139660435887760 + + + + +139660435887760->R139660435887760 + + + + + +139660435791312 + +12 + + + +139660435793424->139660435791312 + + + + + +139660435887824 + +18 + + + +139660435793424->139660435887824 + + + + + +L139660435791312 + + + + +139660435791312->L139660435791312 + + + + + +139660435793488 + +13 + + + +139660435791312->139660435793488 + + + + + +L139660435793488 + + + + +139660435793488->L139660435793488 + + + + + +R139660435793488 + + + + +139660435793488->R139660435793488 + + + + + +L139660435887824 + + + + +139660435887824->L139660435887824 + + + + + +139660435793616 + +19 + + + +139660435887824->139660435793616 + + + + + +L139660435793616 + + + + +139660435793616->L139660435793616 + + + + + +R139660435793616 + + + + +139660435793616->R139660435793616 + + + + + diff --git a/assets/images/rr_7_light-018e13c41ce1fc6257c4c65748aaae27.png b/assets/images/rr_7_light-018e13c41ce1fc6257c4c65748aaae27.png deleted file mode 100644 index 8e75618..0000000 Binary files a/assets/images/rr_7_light-018e13c41ce1fc6257c4c65748aaae27.png and /dev/null differ diff --git a/assets/images/rr_7_light-f03b9073d10947b0af1a226ee8e12fa4.svg b/assets/images/rr_7_light-f03b9073d10947b0af1a226ee8e12fa4.svg new file mode 100644 index 0000000..bcf0c53 --- /dev/null +++ b/assets/images/rr_7_light-f03b9073d10947b0af1a226ee8e12fa4.svg @@ -0,0 +1,202 @@ + + + + + + +RBTree + + + +139660434247376 + +9 + + + +139660436098128 + +5 + + + +139660434247376->139660436098128 + + + + + +139660435793424 + +15 + + + +139660434247376->139660435793424 + + + + + +139660435887760 + +2 + + + +139660436098128->139660435887760 + + + + + +R139660436098128 + + + + +139660436098128->R139660436098128 + + + + + +L139660435887760 + + + + +139660435887760->L139660435887760 + + + + + +R139660435887760 + + + + +139660435887760->R139660435887760 + + + + + +139660435791312 + +12 + + + +139660435793424->139660435791312 + + + + + +139660435887824 + +18 + + + +139660435793424->139660435887824 + + + + + +L139660435791312 + + + + +139660435791312->L139660435791312 + + + + + +139660435793488 + +13 + + + +139660435791312->139660435793488 + + + + + +L139660435793488 + + + + +139660435793488->L139660435793488 + + + + + +R139660435793488 + + + + +139660435793488->R139660435793488 + + + + + +L139660435887824 + + + + +139660435887824->L139660435887824 + + + + + +139660435793616 + +19 + + + +139660435887824->139660435793616 + + + + + +L139660435793616 + + + + +139660435793616->L139660435793616 + + + + + +R139660435793616 + + + + +139660435793616->R139660435793616 + + + + + diff --git a/assets/images/rr_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png b/assets/images/rr_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png deleted file mode 100644 index f68c4c2..0000000 Binary files a/assets/images/rr_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png and /dev/null differ diff --git a/assets/images/rr_8_dark-f1562f7fd1dc9442e496260e74447d03.svg b/assets/images/rr_8_dark-f1562f7fd1dc9442e496260e74447d03.svg new file mode 100644 index 0000000..1b80ccb --- /dev/null +++ b/assets/images/rr_8_dark-f1562f7fd1dc9442e496260e74447d03.svg @@ -0,0 +1,225 @@ + + + + + + +RBTree + + + +139660434247376 + +9 + + + +139660436098128 + +5 + + + +139660434247376->139660436098128 + + + + + +139660435793424 + +15 + + + +139660434247376->139660435793424 + + + + + +139660435887760 + +2 + + + +139660436098128->139660435887760 + + + + + +R139660436098128 + + + + +139660436098128->R139660436098128 + + + + + +L139660435887760 + + + + +139660435887760->L139660435887760 + + + + + +R139660435887760 + + + + +139660435887760->R139660435887760 + + + + + +139660435791312 + +12 + + + +139660435793424->139660435791312 + + + + + +139660435887824 + +18 + + + +139660435793424->139660435887824 + + + + + +L139660435791312 + + + + +139660435791312->L139660435791312 + + + + + +139660435793488 + +13 + + + +139660435791312->139660435793488 + + + + + +L139660435793488 + + + + +139660435793488->L139660435793488 + + + + + +R139660435793488 + + + + +139660435793488->R139660435793488 + + + + + +139660434506512 + +17 + + + +139660435887824->139660434506512 + + + + + +139660435793616 + +19 + + + +139660435887824->139660435793616 + + + + + +L139660434506512 + + + + +139660434506512->L139660434506512 + + + + + +R139660434506512 + + + + +139660434506512->R139660434506512 + + + + + +L139660435793616 + + + + +139660435793616->L139660435793616 + + + + + +R139660435793616 + + + + +139660435793616->R139660435793616 + + + + + diff --git a/assets/images/rr_8_light-7531279bbbb44b4e206fe5040b38df4d.svg b/assets/images/rr_8_light-7531279bbbb44b4e206fe5040b38df4d.svg new file mode 100644 index 0000000..2d0f554 --- /dev/null +++ b/assets/images/rr_8_light-7531279bbbb44b4e206fe5040b38df4d.svg @@ -0,0 +1,225 @@ + + + + + + +RBTree + + + +139660434247376 + +9 + + + +139660436098128 + +5 + + + +139660434247376->139660436098128 + + + + + +139660435793424 + +15 + + + +139660434247376->139660435793424 + + + + + +139660435887760 + +2 + + + +139660436098128->139660435887760 + + + + + +R139660436098128 + + + + +139660436098128->R139660436098128 + + + + + +L139660435887760 + + + + +139660435887760->L139660435887760 + + + + + +R139660435887760 + + + + +139660435887760->R139660435887760 + + + + + +139660435791312 + +12 + + + +139660435793424->139660435791312 + + + + + +139660435887824 + +18 + + + +139660435793424->139660435887824 + + + + + +L139660435791312 + + + + +139660435791312->L139660435791312 + + + + + +139660435793488 + +13 + + + +139660435791312->139660435793488 + + + + + +L139660435793488 + + + + +139660435793488->L139660435793488 + + + + + +R139660435793488 + + + + +139660435793488->R139660435793488 + + + + + +139660434506512 + +17 + + + +139660435887824->139660434506512 + + + + + +139660435793616 + +19 + + + +139660435887824->139660435793616 + + + + + +L139660434506512 + + + + +139660434506512->L139660434506512 + + + + + +R139660434506512 + + + + +139660434506512->R139660434506512 + + + + + +L139660435793616 + + + + +139660435793616->L139660435793616 + + + + + +R139660435793616 + + + + +139660435793616->R139660435793616 + + + + + diff --git a/assets/images/rr_8_light-81ac4c8a3988bd43c66f563cd4799d61.png b/assets/images/rr_8_light-81ac4c8a3988bd43c66f563cd4799d61.png deleted file mode 100644 index d2cb42b..0000000 Binary files a/assets/images/rr_8_light-81ac4c8a3988bd43c66f563cd4799d61.png and /dev/null differ diff --git a/assets/js/2523321d.54e7755c.js b/assets/js/2523321d.98356b20.js similarity index 99% rename from assets/js/2523321d.54e7755c.js rename to assets/js/2523321d.98356b20.js index ffc2e27..1f54596 100644 --- a/assets/js/2523321d.54e7755c.js +++ b/assets/js/2523321d.98356b20.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[9193],{3905:(e,t,n)=>{n.d(t,{Zo:()=>p,kt:()=>k});var i=n(7294);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function r(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);t&&(i=i.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,i)}return n}function o(e){for(var t=1;t=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);for(i=0;i=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var s=i.createContext({}),u=function(e){var t=i.useContext(s),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},p=function(e){var t=u(e.components);return i.createElement(s.Provider,{value:t},e.children)},m="mdxType",c={inlineCode:"code",wrapper:function(e){var t=e.children;return i.createElement(i.Fragment,{},t)}},d=i.forwardRef((function(e,t){var n=e.components,a=e.mdxType,r=e.originalType,s=e.parentName,p=l(e,["components","mdxType","originalType","parentName"]),m=u(n),d=a,k=m["".concat(s,".").concat(d)]||m[d]||c[d]||r;return n?i.createElement(k,o(o({ref:t},p),{},{components:n})):i.createElement(k,o({ref:t},p))}));function k(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var r=n.length,o=new Array(r);o[0]=d;var l={};for(var s in t)hasOwnProperty.call(t,s)&&(l[s]=t[s]);l.originalType=e,l[m]="string"==typeof e?e:a,o[1]=l;for(var u=2;u{n.r(t),n.d(t,{assets:()=>s,contentTitle:()=>o,default:()=>c,frontMatter:()=>r,metadata:()=>l,toc:()=>u});var i=n(7462),a=(n(7294),n(3905));const r={id:"seminar-08",title:"8th seminar",description:"Manipulating with files only char-by-char and a magic tree.\n"},o="8th seminar bonus assignment",l={unversionedId:"bonuses/seminar-08",id:"bonuses/seminar-08",title:"8th seminar",description:"Manipulating with files only char-by-char and a magic tree.\n",source:"@site/pb071/bonuses/08.md",sourceDirName:"bonuses",slug:"/bonuses/seminar-08",permalink:"/pb071/bonuses/seminar-08",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/bonuses/08.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"seminar-08",title:"8th seminar",description:"Manipulating with files only char-by-char and a magic tree.\n"},sidebar:"autogeneratedBar",previous:{title:"5th and 6th seminar",permalink:"/pb071/bonuses/seminar-05-06"},next:{title:"10th seminar",permalink:"/pb071/bonuses/seminar-10"}},s={},u=[{value:"Introduction",id:"introduction",level:2},{value:"Warning",id:"warning",level:2},{value:"Testing",id:"testing",level:2},{value:"Task no. 1: Counting (0.75 K\u20a1)",id:"task-no-1-counting-075-k",level:2},{value:"Requirements",id:"requirements",level:3},{value:"Bonus part (0.75 K\u20a1)",id:"bonus-part-075-k",level:3},{value:"Task no. 2: Weird trees (1 K\u20a1)",id:"task-no-2-weird-trees-1-k",level:2},{value:"Submitting",id:"submitting",level:2}],p={toc:u},m="wrapper";function c(e){let{components:t,...r}=e;return(0,a.kt)(m,(0,i.Z)({},p,r,{components:t,mdxType:"MDXLayout"}),(0,a.kt)("h1",{id:"8th-seminar-bonus-assignment"},"8th seminar bonus assignment"),(0,a.kt)("p",null,(0,a.kt)("a",{parentName:"p",href:"pathname:///files/pb071/bonuses/08.tar.gz"},"Source")),(0,a.kt)("h2",{id:"introduction"},"Introduction"),(0,a.kt)("p",null,"In this bonus you can implement two tasks, one of them has a bonus part with generic\nsolution."),(0,a.kt)("p",null,"One is focused on counting ananas or in case of generic version any substring in\nthe file, but with a restriction on the function you use."),(0,a.kt)("p",null,"Other one has a more algorithmic spirit."),(0,a.kt)("p",null,"For this bonus you can get at maximum 2.5 K\u20a1."),(0,a.kt)("h2",{id:"warning"},"Warning"),(0,a.kt)("p",null,(0,a.kt)("strong",{parentName:"p"},"DO NOT COMMIT test data")," to your own git repository, since the tests include\nfiles that exceed 10MB by themselves. Even if they are on separate branch, they\ntake up the space."),(0,a.kt)("h2",{id:"testing"},"Testing"),(0,a.kt)("p",null,"For testing you are provided with python script (requires ",(0,a.kt)("inlineCode",{parentName:"p"},"click")," to be installed:\n",(0,a.kt)("inlineCode",{parentName:"p"},"pip3 install --user click"),") and ",(0,a.kt)("inlineCode",{parentName:"p"},"Makefile")," that provides following targets:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"check-counting")," - runs the ",(0,a.kt)("inlineCode",{parentName:"li"},"counting")," tests"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"check-counting-bonus")," - runs the ",(0,a.kt)("inlineCode",{parentName:"li"},"counting")," tests with bonus implemented"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"check")," - runs both ",(0,a.kt)("inlineCode",{parentName:"li"},"counting")," and ",(0,a.kt)("inlineCode",{parentName:"li"},"counting-bonus")," tests"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"clean")," - removes output files from the test runs")),(0,a.kt)("h2",{id:"task-no-1-counting-075-k"},"Task no. 1: Counting (0.75 K\u20a1)"),(0,a.kt)("p",null,"Your first task is to make smallish program that counts occurences of specific\n(or given) word from file and writes the number to other file."),(0,a.kt)("p",null,"Usage of the program is:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"Usage: ./counting [string-to-be-counted]\n")),(0,a.kt)("p",null,"Arguments that are passed to the program represent:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"")," - path to the file where we count the words"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"")," - path to the file where we output the count"),(0,a.kt)("li",{parentName:"ul"},"(optional argument) ",(0,a.kt)("inlineCode",{parentName:"li"},"[string-to-be-counted]")," - in case you implement bonus,\notherwise we default to word ",(0,a.kt)("inlineCode",{parentName:"li"},"ananas")," ;)")),(0,a.kt)("p",null,"In skeleton you are given 3 empty, but documented, functions to implement."),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("inlineCode",{parentName:"li"},"count_anything")," - function accepts input file and substring to be counted in\nthe file, returns the count."),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("inlineCode",{parentName:"li"},"count_ananas")," - same as ",(0,a.kt)("inlineCode",{parentName:"li"},"count_anything"),", but specialized for ananases, the\ndefault implementation from the skeleton expects you to implement ",(0,a.kt)("inlineCode",{parentName:"li"},"count_anything"),"\nand therefore it just calls the other function."),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("inlineCode",{parentName:"li"},"write_number")," - function that writes the number to the file, why would you\nneed the function is explained later :)")),(0,a.kt)("h3",{id:"requirements"},"Requirements"),(0,a.kt)("p",null,"For manipulation with the files you are only allowed to use ",(0,a.kt)("inlineCode",{parentName:"p"},"fopen"),", ",(0,a.kt)("inlineCode",{parentName:"p"},"fclose"),",\n",(0,a.kt)("inlineCode",{parentName:"p"},"fgetc")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"fputc"),". Functions like ",(0,a.kt)("inlineCode",{parentName:"p"},"fprintf")," (except for ",(0,a.kt)("inlineCode",{parentName:"p"},"stderr")," or logging) and\n",(0,a.kt)("inlineCode",{parentName:"p"},"fscanf")," are ",(0,a.kt)("strong",{parentName:"p"},"forbidden"),"."),(0,a.kt)("p",null,"In case you struggle and want to use one of those functions, the solution will be\npenalized by 50% of points."),(0,a.kt)("h3",{id:"bonus-part-075-k"},"Bonus part (0.75 K\u20a1)"),(0,a.kt)("p",null,"Bonus part of this assignment is to implement ",(0,a.kt)("inlineCode",{parentName:"p"},"count_anything")," rather than ",(0,a.kt)("inlineCode",{parentName:"p"},"count_ananas"),"."),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"Smaller hint: This task does not need dynamic allocation :) You just need one\ngood helper function and the right idea ;)")),(0,a.kt)("h2",{id:"task-no-2-weird-trees-1-k"},"Task no. 2: Weird trees (1 K\u20a1)"),(0,a.kt)("p",null,"In this task we are crossing our paths with ",(0,a.kt)("em",{parentName:"p"},"algorithms and data structures"),".\nYour task is to write a program that constructs tree from the file that is given\nas an argument and pretty-prints it."),(0,a.kt)("p",null,"Input file consists of lines, that include ",(0,a.kt)("inlineCode",{parentName:"p"},"key")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"rank")," in form ",(0,a.kt)("inlineCode",{parentName:"p"},"key;rank"),"\nor ",(0,a.kt)("inlineCode",{parentName:"p"},"nil"),". Why would we have ",(0,a.kt)("inlineCode",{parentName:"p"},"nil")," in a file? The file represents pre-order iteration\nthrough the tree. Leaves never have rank different than 0, so you can safely assume\n2 non-existing ",(0,a.kt)("inlineCode",{parentName:"p"},"nil"),"s in the input after you read such node ;)"),(0,a.kt)("table",null,(0,a.kt)("tr",null,(0,a.kt)("th",null,"Example input file"),(0,a.kt)("th",null,"Tree it represents")),(0,a.kt)("tr",null,(0,a.kt)("td",null,(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"8;4\n5;3\n3;2\n2;1\n1;0\nnil\n4;0\n7;1\n6;0\nnil\n11;2\n10;1\n9;0\nnil\n12;0\n"))),(0,a.kt)("td",null,(0,a.kt)("p",null,(0,a.kt)("img",{alt:"tree",src:n(4860).Z,width:"633",height:"684"}))))),(0,a.kt)("p",null,"In this task you are only provided with different trees in the ",(0,a.kt)("inlineCode",{parentName:"p"},"test-trees")," directory.\nImplementation and format of the pretty-print is totally up to you. :)"),(0,a.kt)("p",null,"Example of mine for the tree above:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"8 (rank = 4)\n+-- 5 (rank = 3)\n| +-- 3 (rank = 2)\n| | +-- 2 (rank = 1)\n| | | +-- 1 (rank = 0)\n| | +-- 4 (rank = 0)\n| +-- 7 (rank = 1)\n| +-- 6 (rank = 0)\n+-- 11 (rank = 2)\n +-- 10 (rank = 1)\n | +-- 9 (rank = 0)\n +-- 12 (rank = 0)\n")),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"Can you find out what are those trees? :)")),(0,a.kt)("h2",{id:"submitting"},"Submitting"),(0,a.kt)("p",null,"In case you have any questions, feel free to reach out to me."),(0,a.kt)("hr",null),(0,a.kt)("p",null,"Ideally submit the assignment through the merge request. Step-by-step tutorial is\npresent ",(0,a.kt)("a",{parentName:"p",href:"../mr"},"here"),". For setting assignee my xlogin is ",(0,a.kt)("inlineCode",{parentName:"p"},"xfocko"),"."),(0,a.kt)("p",null,"In case you do not want to experiment on GitLab, send me the source code via email,\nbut please prefix subject with: ",(0,a.kt)("inlineCode",{parentName:"p"},"[PB071/14][seminar-08]")),(0,a.kt)("p",null,"Deadline for the submission of the bonus is ",(0,a.kt)("strong",{parentName:"p"},"May 4th 24:00"),"."))}c.isMDXComponent=!0},4860:(e,t,n)=>{n.d(t,{Z:()=>i});const i=n.p+"assets/images/tree-c9e37f87f9095c00fad33ea034485ce6.png"}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[9193],{3905:(e,t,n)=>{n.d(t,{Zo:()=>p,kt:()=>k});var i=n(7294);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function r(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);t&&(i=i.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,i)}return n}function o(e){for(var t=1;t=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);for(i=0;i=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var s=i.createContext({}),u=function(e){var t=i.useContext(s),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},p=function(e){var t=u(e.components);return i.createElement(s.Provider,{value:t},e.children)},m="mdxType",c={inlineCode:"code",wrapper:function(e){var t=e.children;return i.createElement(i.Fragment,{},t)}},d=i.forwardRef((function(e,t){var n=e.components,a=e.mdxType,r=e.originalType,s=e.parentName,p=l(e,["components","mdxType","originalType","parentName"]),m=u(n),d=a,k=m["".concat(s,".").concat(d)]||m[d]||c[d]||r;return n?i.createElement(k,o(o({ref:t},p),{},{components:n})):i.createElement(k,o({ref:t},p))}));function k(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var r=n.length,o=new Array(r);o[0]=d;var l={};for(var s in t)hasOwnProperty.call(t,s)&&(l[s]=t[s]);l.originalType=e,l[m]="string"==typeof e?e:a,o[1]=l;for(var u=2;u{n.r(t),n.d(t,{assets:()=>s,contentTitle:()=>o,default:()=>c,frontMatter:()=>r,metadata:()=>l,toc:()=>u});var i=n(7462),a=(n(7294),n(3905));const r={id:"seminar-08",title:"8th seminar",description:"Manipulating with files only char-by-char and a magic tree.\n"},o="8th seminar bonus assignment",l={unversionedId:"bonuses/seminar-08",id:"bonuses/seminar-08",title:"8th seminar",description:"Manipulating with files only char-by-char and a magic tree.\n",source:"@site/pb071/bonuses/08.md",sourceDirName:"bonuses",slug:"/bonuses/seminar-08",permalink:"/pb071/bonuses/seminar-08",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/bonuses/08.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"seminar-08",title:"8th seminar",description:"Manipulating with files only char-by-char and a magic tree.\n"},sidebar:"autogeneratedBar",previous:{title:"5th and 6th seminar",permalink:"/pb071/bonuses/seminar-05-06"},next:{title:"10th seminar",permalink:"/pb071/bonuses/seminar-10"}},s={},u=[{value:"Introduction",id:"introduction",level:2},{value:"Warning",id:"warning",level:2},{value:"Testing",id:"testing",level:2},{value:"Task no. 1: Counting (0.75 K\u20a1)",id:"task-no-1-counting-075-k",level:2},{value:"Requirements",id:"requirements",level:3},{value:"Bonus part (0.75 K\u20a1)",id:"bonus-part-075-k",level:3},{value:"Task no. 2: Weird trees (1 K\u20a1)",id:"task-no-2-weird-trees-1-k",level:2},{value:"Submitting",id:"submitting",level:2}],p={toc:u},m="wrapper";function c(e){let{components:t,...r}=e;return(0,a.kt)(m,(0,i.Z)({},p,r,{components:t,mdxType:"MDXLayout"}),(0,a.kt)("h1",{id:"8th-seminar-bonus-assignment"},"8th seminar bonus assignment"),(0,a.kt)("p",null,(0,a.kt)("a",{parentName:"p",href:"pathname:///files/pb071/bonuses/08.tar.gz"},"Source")),(0,a.kt)("h2",{id:"introduction"},"Introduction"),(0,a.kt)("p",null,"In this bonus you can implement two tasks, one of them has a bonus part with generic\nsolution."),(0,a.kt)("p",null,"One is focused on counting ananas or in case of generic version any substring in\nthe file, but with a restriction on the function you use."),(0,a.kt)("p",null,"Other one has a more algorithmic spirit."),(0,a.kt)("p",null,"For this bonus you can get at maximum 2.5 K\u20a1."),(0,a.kt)("h2",{id:"warning"},"Warning"),(0,a.kt)("p",null,(0,a.kt)("strong",{parentName:"p"},"DO NOT COMMIT test data")," to your own git repository, since the tests include\nfiles that exceed 10MB by themselves. Even if they are on separate branch, they\ntake up the space."),(0,a.kt)("h2",{id:"testing"},"Testing"),(0,a.kt)("p",null,"For testing you are provided with python script (requires ",(0,a.kt)("inlineCode",{parentName:"p"},"click")," to be installed:\n",(0,a.kt)("inlineCode",{parentName:"p"},"pip3 install --user click"),") and ",(0,a.kt)("inlineCode",{parentName:"p"},"Makefile")," that provides following targets:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"check-counting")," - runs the ",(0,a.kt)("inlineCode",{parentName:"li"},"counting")," tests"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"check-counting-bonus")," - runs the ",(0,a.kt)("inlineCode",{parentName:"li"},"counting")," tests with bonus implemented"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"check")," - runs both ",(0,a.kt)("inlineCode",{parentName:"li"},"counting")," and ",(0,a.kt)("inlineCode",{parentName:"li"},"counting-bonus")," tests"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"clean")," - removes output files from the test runs")),(0,a.kt)("h2",{id:"task-no-1-counting-075-k"},"Task no. 1: Counting (0.75 K\u20a1)"),(0,a.kt)("p",null,"Your first task is to make smallish program that counts occurences of specific\n(or given) word from file and writes the number to other file."),(0,a.kt)("p",null,"Usage of the program is:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"Usage: ./counting [string-to-be-counted]\n")),(0,a.kt)("p",null,"Arguments that are passed to the program represent:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"")," - path to the file where we count the words"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"")," - path to the file where we output the count"),(0,a.kt)("li",{parentName:"ul"},"(optional argument) ",(0,a.kt)("inlineCode",{parentName:"li"},"[string-to-be-counted]")," - in case you implement bonus,\notherwise we default to word ",(0,a.kt)("inlineCode",{parentName:"li"},"ananas")," ;)")),(0,a.kt)("p",null,"In skeleton you are given 3 empty, but documented, functions to implement."),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("inlineCode",{parentName:"li"},"count_anything")," - function accepts input file and substring to be counted in\nthe file, returns the count."),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("inlineCode",{parentName:"li"},"count_ananas")," - same as ",(0,a.kt)("inlineCode",{parentName:"li"},"count_anything"),", but specialized for ananases, the\ndefault implementation from the skeleton expects you to implement ",(0,a.kt)("inlineCode",{parentName:"li"},"count_anything"),"\nand therefore it just calls the other function."),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("inlineCode",{parentName:"li"},"write_number")," - function that writes the number to the file, why would you\nneed the function is explained later :)")),(0,a.kt)("h3",{id:"requirements"},"Requirements"),(0,a.kt)("p",null,"For manipulation with the files you are only allowed to use ",(0,a.kt)("inlineCode",{parentName:"p"},"fopen"),", ",(0,a.kt)("inlineCode",{parentName:"p"},"fclose"),",\n",(0,a.kt)("inlineCode",{parentName:"p"},"fgetc")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"fputc"),". Functions like ",(0,a.kt)("inlineCode",{parentName:"p"},"fprintf")," (except for ",(0,a.kt)("inlineCode",{parentName:"p"},"stderr")," or logging) and\n",(0,a.kt)("inlineCode",{parentName:"p"},"fscanf")," are ",(0,a.kt)("strong",{parentName:"p"},"forbidden"),"."),(0,a.kt)("p",null,"In case you struggle and want to use one of those functions, the solution will be\npenalized by 50% of points."),(0,a.kt)("h3",{id:"bonus-part-075-k"},"Bonus part (0.75 K\u20a1)"),(0,a.kt)("p",null,"Bonus part of this assignment is to implement ",(0,a.kt)("inlineCode",{parentName:"p"},"count_anything")," rather than ",(0,a.kt)("inlineCode",{parentName:"p"},"count_ananas"),"."),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"Smaller hint: This task does not need dynamic allocation :) You just need one\ngood helper function and the right idea ;)")),(0,a.kt)("h2",{id:"task-no-2-weird-trees-1-k"},"Task no. 2: Weird trees (1 K\u20a1)"),(0,a.kt)("p",null,"In this task we are crossing our paths with ",(0,a.kt)("em",{parentName:"p"},"algorithms and data structures"),".\nYour task is to write a program that constructs tree from the file that is given\nas an argument and pretty-prints it."),(0,a.kt)("p",null,"Input file consists of lines, that include ",(0,a.kt)("inlineCode",{parentName:"p"},"key")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"rank")," in form ",(0,a.kt)("inlineCode",{parentName:"p"},"key;rank"),"\nor ",(0,a.kt)("inlineCode",{parentName:"p"},"nil"),". Why would we have ",(0,a.kt)("inlineCode",{parentName:"p"},"nil")," in a file? The file represents pre-order iteration\nthrough the tree. Leaves never have rank different than 0, so you can safely assume\n2 non-existing ",(0,a.kt)("inlineCode",{parentName:"p"},"nil"),"s in the input after you read such node ;)"),(0,a.kt)("table",null,(0,a.kt)("tr",null,(0,a.kt)("th",null,"Example input file"),(0,a.kt)("th",null,"Tree it represents")),(0,a.kt)("tr",null,(0,a.kt)("td",null,(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"8;4\n5;3\n3;2\n2;1\n1;0\nnil\n4;0\n7;1\n6;0\nnil\n11;2\n10;1\n9;0\nnil\n12;0\n"))),(0,a.kt)("td",null,(0,a.kt)("p",null,(0,a.kt)("img",{alt:"tree",src:n(4860).Z,width:"633",height:"684"}))))),(0,a.kt)("p",null,"In this task you are only provided with different trees in the ",(0,a.kt)("inlineCode",{parentName:"p"},"test-trees")," directory.\nImplementation and format of the pretty-print is totally up to you. :)"),(0,a.kt)("p",null,"Example of mine for the tree above:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"8 (rank = 4)\n+-- 5 (rank = 3)\n| +-- 3 (rank = 2)\n| | +-- 2 (rank = 1)\n| | | +-- 1 (rank = 0)\n| | +-- 4 (rank = 0)\n| +-- 7 (rank = 1)\n| +-- 6 (rank = 0)\n+-- 11 (rank = 2)\n +-- 10 (rank = 1)\n | +-- 9 (rank = 0)\n +-- 12 (rank = 0)\n")),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"Can you find out what are those trees? :)")),(0,a.kt)("h2",{id:"submitting"},"Submitting"),(0,a.kt)("p",null,"In case you have any questions, feel free to reach out to me."),(0,a.kt)("hr",null),(0,a.kt)("p",null,"Ideally submit the assignment through the merge request. Step-by-step tutorial is\npresent ",(0,a.kt)("a",{parentName:"p",href:"../mr"},"here"),". For setting assignee my xlogin is ",(0,a.kt)("inlineCode",{parentName:"p"},"xfocko"),"."),(0,a.kt)("p",null,"In case you do not want to experiment on GitLab, send me the source code via email,\nbut please prefix subject with: ",(0,a.kt)("inlineCode",{parentName:"p"},"[PB071/14][seminar-08]")),(0,a.kt)("p",null,"Deadline for the submission of the bonus is ",(0,a.kt)("strong",{parentName:"p"},"May 4th 24:00"),"."))}c.isMDXComponent=!0},4860:(e,t,n)=>{n.d(t,{Z:()=>i});const i=n.p+"assets/images/tree-c9e37f87f9095c00fad33ea034485ce6.png"}}]); \ No newline at end of file diff --git a/assets/js/2a09abcd.15946a52.js b/assets/js/2a09abcd.15946a52.js deleted file mode 100644 index 80c4718..0000000 --- a/assets/js/2a09abcd.15946a52.js +++ /dev/null @@ -1 +0,0 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[1246],{3905:(a,e,t)=>{t.d(e,{Zo:()=>l,kt:()=>k});var n=t(7294);function s(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function m(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,n)}return t}function r(a){for(var e=1;e=0||(s[t]=a[t]);return s}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(s[t]=a[t])}return s}var i=n.createContext({}),o=function(a){var e=n.useContext(i),t=e;return a&&(t="function"==typeof a?a(e):r(r({},e),a)),t},l=function(a){var e=o(a.components);return n.createElement(i.Provider,{value:e},a.children)},h="mdxType",c={inlineCode:"code",wrapper:function(a){var e=a.children;return n.createElement(n.Fragment,{},e)}},N=n.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,i=a.parentName,l=p(a,["components","mdxType","originalType","parentName"]),h=o(t),N=s,k=h["".concat(i,".").concat(N)]||h[N]||c[N]||m;return t?n.createElement(k,r(r({ref:e},l),{},{components:t})):n.createElement(k,r({ref:e},l))}));function k(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,r=new Array(m);r[0]=N;var p={};for(var i in e)hasOwnProperty.call(e,i)&&(p[i]=e[i]);p.originalType=a,p[h]="string"==typeof a?a:s,r[1]=p;for(var o=2;o{t.r(e),t.d(e,{assets:()=>i,contentTitle:()=>r,default:()=>c,frontMatter:()=>m,metadata:()=>p,toc:()=>o});var n=t(7462),s=(t(7294),t(3905));const m={id:"bfs-tree",title:"Distance boundaries from BFS tree on undirected graphs",description:"Short explanation of distance boundaries deduced from a BFS tree.\n",tags:["graphs","bfs"],last_update:{date:new Date("2022-04-30T00:00:00.000Z")}},r=void 0,p={unversionedId:"graphs/bfs-tree",id:"graphs/bfs-tree",title:"Distance boundaries from BFS tree on undirected graphs",description:"Short explanation of distance boundaries deduced from a BFS tree.\n",source:"@site/ib002/10-graphs/2022-04-30-bfs-tree.md",sourceDirName:"10-graphs",slug:"/graphs/bfs-tree",permalink:"/ib002/graphs/bfs-tree",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/10-graphs/2022-04-30-bfs-tree.md",tags:[{label:"graphs",permalink:"/ib002/tags/graphs"},{label:"bfs",permalink:"/ib002/tags/bfs"}],version:"current",lastUpdatedAt:1651276800,formattedLastUpdatedAt:"Apr 30, 2022",frontMatter:{id:"bfs-tree",title:"Distance boundaries from BFS tree on undirected graphs",description:"Short explanation of distance boundaries deduced from a BFS tree.\n",tags:["graphs","bfs"],last_update:{date:"2022-04-30T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Iterative algorithms via iterators",permalink:"/ib002/graphs/iterative-and-iterators"}},i={},o=[{value:"Introduction",id:"introduction",level:2},{value:"Lower bound",id:"lower-bound",level:2},{value:"Proof by contradiction",id:"proof-by-contradiction",level:2}],l={toc:o},h="wrapper";function c(a){let{components:e,...m}=a;return(0,s.kt)(h,(0,n.Z)({},l,m,{components:e,mdxType:"MDXLayout"}),(0,s.kt)("h2",{id:"introduction"},"Introduction"),(0,s.kt)("p",null,"As we have talked on the seminar, if we construct from some vertex ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"u")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"u")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"u")))))," BFS tree on an undirected graph, we can obtain:"),(0,s.kt)("ul",null,(0,s.kt)("li",{parentName:"ul"},"lower bound of length of the shortest path between 2 vertices from the ",(0,s.kt)("em",{parentName:"li"},"height difference")),(0,s.kt)("li",{parentName:"ul"},"upper bound of length of the shortest path between 2 vertices from the ",(0,s.kt)("em",{parentName:"li"},"path through the root"))),(0,s.kt)("h2",{id:"lower-bound"},"Lower bound"),(0,s.kt)("p",null,"Consider the following graph:"),(0,s.kt)("p",null,(0,s.kt)("img",{src:t(491).Z+"#gh-light-mode-only",width:"252",height:"539"}),"\n",(0,s.kt)("img",{src:t(9257).Z+"#gh-dark-mode-only",width:"252",height:"539"})),(0,s.kt)("p",null,"We run BFS from the vertex ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"a")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"a")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"a")))))," and obtain the following BFS tree:"),(0,s.kt)("p",null,(0,s.kt)("img",{src:t(1281).Z+"#gh-light-mode-only",width:"275",height:"347"}),"\n",(0,s.kt)("img",{src:t(820).Z+"#gh-dark-mode-only",width:"275",height:"347"})),(0,s.kt)("p",null,"Let's consider pair of vertices ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"e")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"e")))))," and ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"h")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),". For them we can safely lay, from the BFS tree, following properties:"),(0,s.kt)("ul",null,(0,s.kt)("li",{parentName:"ul"},"lower bound: ",(0,s.kt)("span",{parentName:"li",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"2")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2")))))),(0,s.kt)("li",{parentName:"ul"},"upper bound: ",(0,s.kt)("span",{parentName:"li",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"4")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"4")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"4"))))))),(0,s.kt)("p",null,"By having a look at the graph we started from, we can see that we have a path \u2039",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"e"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"j"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"h")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e, j, h")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"e"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.05724em"}},"j"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),"\u203a that has a length 2. Apart from that we can also notice there is another path from ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"e")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"e")))))," to ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"h")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"h")))))," and that is \u2039",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"e"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"a"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"c"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"i"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"d"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"h")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e, a, c, i, d, h")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"e"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"a"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"c"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"i"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"d"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),"\u203a. And that path has a length of ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"5")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"5")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"5"))))),". Doesn't this break our statements at the beginning? (",(0,s.kt)("em",{parentName:"p"},"I'm leaving that as an exercise ;)"),")"),(0,s.kt)("h2",{id:"proof-by-contradiction"},"Proof by contradiction"),(0,s.kt)("p",null,"Let's keep the same graph, but break the lower bound, i.e. I have gotten a lower bound ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"2")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"))))),", but \u201cthere must be a shorter path\u201d! ;)"),(0,s.kt)("p",null,"Now the more important question, is there a shorter path in that graph? The answer is no, there's no shorter path than the one with length ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"2")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"))))),". So what can we do about it? We'll add an edge to have a shorter path. Now we have gotten a lower bound of ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"2")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"))))),", which means the only shorter path we can construct has ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"1")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"1")))))," edge and that is \u2039",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"e"),(0,s.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,s.kt)("mi",{parentName:"mrow"},"h")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e, h")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"e"),(0,s.kt)("span",{parentName:"span",className:"mpunct"},","),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),"\u203a (no intermediary vertices). Let's do this!"),(0,s.kt)("p",null,(0,s.kt)("img",{src:t(340).Z+"#gh-light-mode-only",width:"252",height:"539"}),"\n",(0,s.kt)("img",{src:t(4110).Z+"#gh-dark-mode-only",width:"252",height:"539"})),(0,s.kt)("p",null,"Okay, so we have a graph that breaks the rule we have laid. However, we need to run BFS to obtain the new BFS tree, since we have changed the graph."),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"Do we need to run BFS after ",(0,s.kt)("strong",{parentName:"p"},"every")," change?"),(0,s.kt)("p",{parentName:"admonition"},"\xadI am leaving that as an exercise ;)")),(0,s.kt)("p",null,(0,s.kt)("img",{src:t(6256).Z+"#gh-light-mode-only",width:"371",height:"347"}),"\n",(0,s.kt)("img",{src:t(8680).Z+"#gh-dark-mode-only",width:"371",height:"347"})),(0,s.kt)("p",null,"Oops, we have gotten a new BFS tree, that has a height difference of 1."),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"Try to think about a way this can be generalized for shortening of minimal length 3 to minimal length 2 ;)")))}c.isMDXComponent=!0},9257:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_graph_dark-f7a3a78eaf9de049469b4c64e0712867.png"},491:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_graph_light-6e21a942bccd92bcce6840da7c3cb056.png"},4110:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_graph_with_additional_edge_dark-c2da6c052b067785e877b4654a13f328.png"},340:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_graph_with_additional_edge_light-799673ba333298d16327abe67c90507e.png"},820:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_tree_dark-34f32262c6e4ffc14983b3ebf9a2f5a9.png"},1281:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_tree_light-61d6723c3c587d565b6280b8b8eca211.png"},8680:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_tree_with_additional_edge_dark-127aa5b00988d4569669a92f5d841dbf.png"},6256:(a,e,t)=>{t.d(e,{Z:()=>n});const n=t.p+"assets/images/bfs_tree_with_additional_edge_light-93df97e1f9f1883467248532809374d0.png"}}]); \ No newline at end of file diff --git a/assets/js/2a09abcd.29ada0be.js b/assets/js/2a09abcd.29ada0be.js new file mode 100644 index 0000000..ad6e5f2 --- /dev/null +++ b/assets/js/2a09abcd.29ada0be.js @@ -0,0 +1 @@ +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[1246],{3905:(I,a,i)=>{i.d(a,{Zo:()=>g,kt:()=>b});var t=i(7294);function m(I,a,i){return a in I?Object.defineProperty(I,a,{value:i,enumerable:!0,configurable:!0,writable:!0}):I[a]=i,I}function n(I,a){var i=Object.keys(I);if(Object.getOwnPropertySymbols){var t=Object.getOwnPropertySymbols(I);a&&(t=t.filter((function(a){return Object.getOwnPropertyDescriptor(I,a).enumerable}))),i.push.apply(i,t)}return i}function e(I){for(var a=1;a=0||(m[i]=I[i]);return m}(I,a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(I);for(t=0;t=0||Object.prototype.propertyIsEnumerable.call(I,i)&&(m[i]=I[i])}return m}var N=t.createContext({}),s=function(I){var a=t.useContext(N),i=a;return I&&(i="function"==typeof I?I(a):e(e({},a),I)),i},g=function(I){var a=s(I.components);return t.createElement(N.Provider,{value:a},I.children)},Z="mdxType",c={inlineCode:"code",wrapper:function(I){var a=I.children;return t.createElement(t.Fragment,{},a)}},G=t.forwardRef((function(I,a){var i=I.components,m=I.mdxType,n=I.originalType,N=I.parentName,g=l(I,["components","mdxType","originalType","parentName"]),Z=s(i),G=m,b=Z["".concat(N,".").concat(G)]||Z[G]||c[G]||n;return i?t.createElement(b,e(e({ref:a},g),{},{components:i})):t.createElement(b,e({ref:a},g))}));function b(I,a){var i=arguments,m=a&&a.mdxType;if("string"==typeof I||m){var n=i.length,e=new Array(n);e[0]=G;var l={};for(var N in a)hasOwnProperty.call(a,N)&&(l[N]=a[N]);l.originalType=I,l[Z]="string"==typeof I?I:m,e[1]=l;for(var s=2;s{i.r(a),i.d(a,{assets:()=>N,contentTitle:()=>e,default:()=>c,frontMatter:()=>n,metadata:()=>l,toc:()=>s});var t=i(7462),m=(i(7294),i(3905));const n={id:"bfs-tree",title:"Distance boundaries from BFS tree on undirected graphs",description:"Short explanation of distance boundaries deduced from a BFS tree.\n",tags:["graphs","bfs"],last_update:{date:new Date("2022-04-30T00:00:00.000Z")}},e=void 0,l={unversionedId:"graphs/bfs-tree",id:"graphs/bfs-tree",title:"Distance boundaries from BFS tree on undirected graphs",description:"Short explanation of distance boundaries deduced from a BFS tree.\n",source:"@site/ib002/10-graphs/2022-04-30-bfs-tree.md",sourceDirName:"10-graphs",slug:"/graphs/bfs-tree",permalink:"/ib002/graphs/bfs-tree",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/10-graphs/2022-04-30-bfs-tree.md",tags:[{label:"graphs",permalink:"/ib002/tags/graphs"},{label:"bfs",permalink:"/ib002/tags/bfs"}],version:"current",lastUpdatedAt:1651276800,formattedLastUpdatedAt:"Apr 30, 2022",frontMatter:{id:"bfs-tree",title:"Distance boundaries from BFS tree on undirected graphs",description:"Short explanation of distance boundaries deduced from a BFS tree.\n",tags:["graphs","bfs"],last_update:{date:"2022-04-30T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Iterative algorithms via iterators",permalink:"/ib002/graphs/iterative-and-iterators"}},N={},s=[{value:"Introduction",id:"introduction",level:2},{value:"Lower bound",id:"lower-bound",level:2},{value:"Proof by contradiction",id:"proof-by-contradiction",level:2}],g={toc:s},Z="wrapper";function c(I){let{components:a,...n}=I;return(0,m.kt)(Z,(0,t.Z)({},g,n,{components:a,mdxType:"MDXLayout"}),(0,m.kt)("h2",{id:"introduction"},"Introduction"),(0,m.kt)("p",null,"As we have talked on the seminar, if we construct from some vertex ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"u")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"u")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"u")))))," BFS tree on an undirected graph, we can obtain:"),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},"lower bound of length of the shortest path between 2 vertices from the ",(0,m.kt)("em",{parentName:"li"},"height difference")),(0,m.kt)("li",{parentName:"ul"},"upper bound of length of the shortest path between 2 vertices from the ",(0,m.kt)("em",{parentName:"li"},"path through the root"))),(0,m.kt)("h2",{id:"lower-bound"},"Lower bound"),(0,m.kt)("p",null,"Consider the following graph:"),(0,m.kt)("p",null,(0,m.kt)("img",{src:i(6547).Z+"#gh-light-mode-only",width:"252",height:"539"}),"\n",(0,m.kt)("img",{src:i(1338).Z+"#gh-dark-mode-only",width:"252",height:"539"})),(0,m.kt)("p",null,"We run BFS from the vertex ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"a")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"a")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"a")))))," and obtain the following BFS tree:"),(0,m.kt)("p",null,(0,m.kt)("img",{src:i(6069).Z+"#gh-light-mode-only",width:"275",height:"347"}),"\n",(0,m.kt)("img",{src:i(6325).Z+"#gh-dark-mode-only",width:"275",height:"347"})),(0,m.kt)("p",null,"Let's consider pair of vertices ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"e")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"e")))))," and ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"h")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),". For them we can safely lay, from the BFS tree, following properties:"),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},"lower bound: ",(0,m.kt)("span",{parentName:"li",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"2")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"2")))))),(0,m.kt)("li",{parentName:"ul"},"upper bound: ",(0,m.kt)("span",{parentName:"li",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"4")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"4")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"4"))))))),(0,m.kt)("p",null,"By having a look at the graph we started from, we can see that we have a path \u2039",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"e"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"j"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"h")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e, j, h")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"e"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.05724em"}},"j"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),"\u203a that has a length 2. Apart from that we can also notice there is another path from ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"e")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"e")))))," to ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"h")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"h")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"h")))))," and that is \u2039",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"e"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"a"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"i"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"d"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"h")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e, a, c, i, d, h")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"e"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"a"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"c"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"i"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"d"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),"\u203a. And that path has a length of ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"5")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"5")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"5"))))),". Doesn't this break our statements at the beginning? (",(0,m.kt)("em",{parentName:"p"},"I'm leaving that as an exercise ;)"),")"),(0,m.kt)("h2",{id:"proof-by-contradiction"},"Proof by contradiction"),(0,m.kt)("p",null,"Let's keep the same graph, but break the lower bound, i.e. I have gotten a lower bound ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"2")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"2"))))),", but \u201cthere must be a shorter path\u201d! ;)"),(0,m.kt)("p",null,"Now the more important question, is there a shorter path in that graph? The answer is no, there's no shorter path than the one with length ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"2")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"2"))))),". So what can we do about it? We'll add an edge to have a shorter path. Now we have gotten a lower bound of ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"2")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"2"))))),", which means the only shorter path we can construct has ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mn",{parentName:"mrow"},"1")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,m.kt)("span",{parentName:"span",className:"mord"},"1")))))," edge and that is \u2039",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"e"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"h")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"e, h")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"e"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"h"))))),"\u203a (no intermediary vertices). Let's do this!"),(0,m.kt)("p",null,(0,m.kt)("img",{src:i(9907).Z+"#gh-light-mode-only",width:"252",height:"539"}),"\n",(0,m.kt)("img",{src:i(2830).Z+"#gh-dark-mode-only",width:"252",height:"539"})),(0,m.kt)("p",null,"Okay, so we have a graph that breaks the rule we have laid. However, we need to run BFS to obtain the new BFS tree, since we have changed the graph."),(0,m.kt)("admonition",{type:"tip"},(0,m.kt)("p",{parentName:"admonition"},"Do we need to run BFS after ",(0,m.kt)("strong",{parentName:"p"},"every")," change?"),(0,m.kt)("p",{parentName:"admonition"},"\xadI am leaving that as an exercise ;)")),(0,m.kt)("p",null,(0,m.kt)("img",{src:i(4570).Z+"#gh-light-mode-only",width:"371",height:"347"}),"\n",(0,m.kt)("img",{src:i(1722).Z+"#gh-dark-mode-only",width:"371",height:"347"})),(0,m.kt)("p",null,"Oops, we have gotten a new BFS tree, that has a height difference of 1."),(0,m.kt)("admonition",{type:"tip"},(0,m.kt)("p",{parentName:"admonition"},"Try to think about a way this can be generalized for shortening of minimal length 3 to minimal length 2 ;)")))}c.isMDXComponent=!0},1338:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,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"},6547:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiIHN0YW5kYWxvbmU9Im5vIj8+CjwhRE9DVFlQRSBzdmcgUFVCTElDICItLy9XM0MvL0RURCBTVkcgMS4xLy9FTiIKICJodHRwOi8vd3d3LnczLm9yZy9HcmFwaGljcy9TVkcvMS4xL0RURC9zdmcxMS5kdGQiPgo8IS0tIEdlbmVyYXRlZCBieSBncmFwaHZpeiB2ZXJzaW9uIDIuNDMuMCAoMCkKIC0tPgo8IS0tIFRpdGxlOiAlMyBQYWdlczogMSAtLT4KPHN2ZyB3aWR0aD0iMTg5cHQiIGhlaWdodD0iNDA0cHQiCiB2aWV3Qm94PSIwLjAwIDAuMDAgMTg5LjAwIDQwNC4wMCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayI+CjxnIGlkPSJncmFwaDAiIGNsYXNzPSJncmFwaCIgdHJhbnNmb3JtPSJzY2FsZSgxIDEpIHJvdGF0ZSgwKSB0cmFuc2xhdGUoNCA0MDApIj4KPHRpdGxlPiUzPC90aXRsZT4KPHBvbHlnb24gZmlsbD0id2hpdGUiIHN0cm9rZT0idHJhbnNwYXJlbnQiIHBvaW50cz0iLTQsNCAtNCwtNDAwIDE4NSwtNDAwIDE4NSw0IC00LDQiLz4KPCEtLSBhIC0tPgo8ZyBpZD0ibm9kZTEiIGNsYXNzPSJub2RlIj4KPHRpdGxlPmE8L3RpdGxlPgo8ZWxsaXBzZSBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBjeD0iMTI2IiBjeT0iLTM3OCIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iMTI2IiB5PSItMzc0LjMiIGZvbnQtZmFtaWx5PSInQ2FzY2FkaWEgQ29kZSBQTCcsICdKZXRCcmFpbnMgTW9ubycsICdJb3NldmthJywgJ0ZpcmEgQ29kZScsICdIYWNrJywgbW9ub3NwYWNlIiBmb250LXNpemU9IjE0LjAwIj5hPC90ZXh0Pgo8L2c+CjwhLS0gYyAtLT4KPGcgaWQ9Im5vZGUyIiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5jPC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgY3g9Ijk5IiBjeT0iLTMwNiIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iOTkiIHk9Ii0zMDIuMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmM8L3RleHQ+CjwvZz4KPCEtLSBhJiM0NTsmIzQ1O2MgLS0+CjxnIGlkPSJlZGdlMSIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+YSYjNDU7JiM0NTtjPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTExOS42LC0zNjAuNDFDMTE1LjM2LC0zNDkuNDEgMTA5LjgxLC0zMzUuMDMgMTA1LjU0LC0zMjMuOTYiLz4KPC9nPgo8IS0tIGUgLS0+CjxnIGlkPSJub2RlMyIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+ZTwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSIxNTQiIGN5PSItMTYyIiByeD0iMjciIHJ5PSIxOCIvPgo8dGV4dCB0ZXh0LWFuY2hvcj0ibWlkZGxlIiB4PSIxNTQiIHk9Ii0xNTguMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmU8L3RleHQ+CjwvZz4KPCEtLSBhJiM0NTsmIzQ1O2UgLS0+CjxnIGlkPSJlZGdlMiIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+YSYjNDU7JiM0NTtlPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTEyOS4xNCwtMzU5Ljg1QzEzMC45OCwtMzQ5LjQ5IDEzMy4yNywtMzM2LjAxIDEzNSwtMzI0IDE0Mi40OSwtMjcxLjkgMTQ5LjE4LC0yMTAuMDEgMTUyLjI0LC0xODAuNDMiLz4KPC9nPgo8IS0tIGkgLS0+CjxnIGlkPSJub2RlNCIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+aTwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSIyNyIgY3k9Ii0yMzQiIHJ4PSIyNyIgcnk9IjE4Ii8+Cjx0ZXh0IHRleHQtYW5jaG9yPSJtaWRkbGUiIHg9IjI3IiB5PSItMjMwLjMiIGZvbnQtZmFtaWx5PSInQ2FzY2FkaWEgQ29kZSBQTCcsICdKZXRCcmFpbnMgTW9ubycsICdJb3NldmthJywgJ0ZpcmEgQ29kZScsICdIYWNrJywgbW9ub3NwYWNlIiBmb250LXNpemU9IjE0LjAwIj5pPC90ZXh0Pgo8L2c+CjwhLS0gYyYjNDU7JiM0NTtpIC0tPgo8ZyBpZD0iZWRnZTMiIGNsYXNzPSJlZGdlIj4KPHRpdGxlPmMmIzQ1OyYjNDU7aTwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik04NC40MywtMjkwLjgzQzcyLjAyLC0yNzguNzcgNTQuMjcsLTI2MS41MSA0MS44LC0yNDkuMzgiLz4KPC9nPgo8IS0tIGIgLS0+CjxnIGlkPSJub2RlNSIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+YjwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSI5OSIgY3k9Ii0yMzQiIHJ4PSIyNyIgcnk9IjE4Ii8+Cjx0ZXh0IHRleHQtYW5jaG9yPSJtaWRkbGUiIHg9Ijk5IiB5PSItMjMwLjMiIGZvbnQtZmFtaWx5PSInQ2FzY2FkaWEgQ29kZSBQTCcsICdKZXRCcmFpbnMgTW9ubycsICdJb3NldmthJywgJ0ZpcmEgQ29kZScsICdIYWNrJywgbW9ub3NwYWNlIiBmb250LXNpemU9IjE0LjAwIj5iPC90ZXh0Pgo8L2c+CjwhLS0gYyYjNDU7JiM0NTtiIC0tPgo8ZyBpZD0iZWRnZTQiIGNsYXNzPSJlZGdlIj4KPHRpdGxlPmMmIzQ1OyYjNDU7YjwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik05OSwtMjg3LjdDOTksLTI3Ni44NSA5OSwtMjYyLjkyIDk5LC0yNTIuMSIvPgo8L2c+CjwhLS0gaiAtLT4KPGcgaWQ9Im5vZGU2IiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5qPC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgY3g9IjEyNiIgY3k9Ii0xOCIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iMTI2IiB5PSItMTQuMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmo8L3RleHQ+CjwvZz4KPCEtLSBlJiM0NTsmIzQ1O2ogLS0+CjxnIGlkPSJlZGdlNSIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+ZSYjNDU7JiM0NTtqPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTE1MC42MiwtMTQzLjg3QzE0NS4yNCwtMTE2LjU4IDEzNC43OCwtNjMuNTIgMTI5LjM5LC0zNi4xOSIvPgo8L2c+CjwhLS0gZCAtLT4KPGcgaWQ9Im5vZGU3IiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5kPC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgY3g9IjM2IiBjeT0iLTE2MiIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iMzYiIHk9Ii0xNTguMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmQ8L3RleHQ+CjwvZz4KPCEtLSBpJiM0NTsmIzQ1O2QgLS0+CjxnIGlkPSJlZGdlNiIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+aSYjNDU7JiM0NTtkPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTI5LjE4LC0yMTYuMDVDMzAuNTcsLTIwNS4yMSAzMi4zOCwtMTkxLjE4IDMzLjc4LC0xODAuMjgiLz4KPC9nPgo8IS0tIGggLS0+CjxnIGlkPSJub2RlOCIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+aDwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSI5OSIgY3k9Ii05MCIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iOTkiIHk9Ii04Ni4zIiBmb250LWZhbWlseT0iJ0Nhc2NhZGlhIENvZGUgUEwnLCAnSmV0QnJhaW5zIE1vbm8nLCAnSW9zZXZrYScsICdGaXJhIENvZGUnLCAnSGFjaycsIG1vbm9zcGFjZSIgZm9udC1zaXplPSIxNC4wMCI+aDwvdGV4dD4KPC9nPgo8IS0tIGImIzQ1OyYjNDU7aCAtLT4KPGcgaWQ9ImVkZ2U3IiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT5iJiM0NTsmIzQ1O2g8L3RpdGxlPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBkPSJNOTksLTIxNS44N0M5OSwtMTg4LjU4IDk5LC0xMzUuNTIgOTksLTEwOC4xOSIvPgo8L2c+CjwhLS0gZCYjNDU7JiM0NTtoIC0tPgo8ZyBpZD0iZWRnZTgiIGNsYXNzPSJlZGdlIj4KPHRpdGxlPmQmIzQ1OyYjNDU7aDwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik00OS4zNiwtMTQ2LjE1QzYwLjA1LC0xMzQuMjggNzQuOTcsLTExNy43IDg1LjY2LC0xMDUuODIiLz4KPC9nPgo8IS0tIGgmIzQ1OyYjNDU7aiAtLT4KPGcgaWQ9ImVkZ2U5IiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT5oJiM0NTsmIzQ1O2o8L3RpdGxlPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBkPSJNMTA1LjQsLTcyLjQxQzEwOS42NCwtNjEuNDEgMTE1LjE5LC00Ny4wMyAxMTkuNDYsLTM1Ljk2Ii8+CjwvZz4KPC9nPgo8L3N2Zz4K"},2830:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,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"},9907:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,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"},6325:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,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"},6069:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,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"},1722:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,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"},4570:(I,a,i)=>{i.d(a,{Z:()=>t});const t="data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiIHN0YW5kYWxvbmU9Im5vIj8+CjwhRE9DVFlQRSBzdmcgUFVCTElDICItLy9XM0MvL0RURCBTVkcgMS4xLy9FTiIKICJodHRwOi8vd3d3LnczLm9yZy9HcmFwaGljcy9TVkcvMS4xL0RURC9zdmcxMS5kdGQiPgo8IS0tIEdlbmVyYXRlZCBieSBncmFwaHZpeiB2ZXJzaW9uIDIuNDMuMCAoMCkKIC0tPgo8IS0tIFRpdGxlOiAlMyBQYWdlczogMSAtLT4KPHN2ZyB3aWR0aD0iMjc4cHQiIGhlaWdodD0iMjYwcHQiCiB2aWV3Qm94PSIwLjAwIDAuMDAgMjc4LjAwIDI2MC4wMCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayI+CjxnIGlkPSJncmFwaDAiIGNsYXNzPSJncmFwaCIgdHJhbnNmb3JtPSJzY2FsZSgxIDEpIHJvdGF0ZSgwKSB0cmFuc2xhdGUoNCAyNTYpIj4KPHRpdGxlPiUzPC90aXRsZT4KPHBvbHlnb24gZmlsbD0id2hpdGUiIHN0cm9rZT0idHJhbnNwYXJlbnQiIHBvaW50cz0iLTQsNCAtNCwtMjU2IDI3NCwtMjU2IDI3NCw0IC00LDQiLz4KPCEtLSBhIC0tPgo8ZyBpZD0ibm9kZTEiIGNsYXNzPSJub2RlIj4KPHRpdGxlPmE8L3RpdGxlPgo8ZWxsaXBzZSBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBjeD0iMTM1IiBjeT0iLTIzNCIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iMTM1IiB5PSItMjMwLjMiIGZvbnQtZmFtaWx5PSInQ2FzY2FkaWEgQ29kZSBQTCcsICdKZXRCcmFpbnMgTW9ubycsICdJb3NldmthJywgJ0ZpcmEgQ29kZScsICdIYWNrJywgbW9ub3NwYWNlIiBmb250LXNpemU9IjE0LjAwIj5hPC90ZXh0Pgo8L2c+CjwhLS0gYyAtLT4KPGcgaWQ9Im5vZGUyIiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5jPC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgY3g9Ijk5IiBjeT0iLTE2MiIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iOTkiIHk9Ii0xNTguMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmM8L3RleHQ+CjwvZz4KPCEtLSBhJiM0NTsmZ3Q7YyAtLT4KPGcgaWQ9ImVkZ2UxIiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT5hJiM0NTsmZ3Q7YzwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik0xMjYuNjUsLTIxNi43NkMxMjIuMjksLTIwOC4yOCAxMTYuODUsLTE5Ny43MSAxMTEuOTYsLTE4OC4yIi8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjExNC45OSwtMTg2LjQ0IDEwNy4zLC0xNzkuMTUgMTA4Ljc3LC0xODkuNjQgMTE0Ljk5LC0xODYuNDQiLz4KPC9nPgo8IS0tIGUgLS0+CjxnIGlkPSJub2RlMyIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+ZTwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSIxNzEiIGN5PSItMTYyIiByeD0iMjciIHJ5PSIxOCIvPgo8dGV4dCB0ZXh0LWFuY2hvcj0ibWlkZGxlIiB4PSIxNzEiIHk9Ii0xNTguMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmU8L3RleHQ+CjwvZz4KPCEtLSBhJiM0NTsmZ3Q7ZSAtLT4KPGcgaWQ9ImVkZ2UyIiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT5hJiM0NTsmZ3Q7ZTwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik0xNDMuMzUsLTIxNi43NkMxNDcuNzEsLTIwOC4yOCAxNTMuMTUsLTE5Ny43MSAxNTguMDQsLTE4OC4yIi8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjE2MS4yMywtMTg5LjY0IDE2Mi43LC0xNzkuMTUgMTU1LjAxLC0xODYuNDQgMTYxLjIzLC0xODkuNjQiLz4KPC9nPgo8IS0tIGIgLS0+CjxnIGlkPSJub2RlNCIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+YjwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSIyNyIgY3k9Ii05MCIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iMjciIHk9Ii04Ni4zIiBmb250LWZhbWlseT0iJ0Nhc2NhZGlhIENvZGUgUEwnLCAnSmV0QnJhaW5zIE1vbm8nLCAnSW9zZXZrYScsICdGaXJhIENvZGUnLCAnSGFjaycsIG1vbm9zcGFjZSIgZm9udC1zaXplPSIxNC4wMCI+YjwvdGV4dD4KPC9nPgo8IS0tIGMmIzQ1OyZndDtiIC0tPgo8ZyBpZD0iZWRnZTMiIGNsYXNzPSJlZGdlIj4KPHRpdGxlPmMmIzQ1OyZndDtiPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTg0LjQzLC0xNDYuODNDNzQuMjUsLTEzNi45NCA2MC40OCwtMTIzLjU1IDQ4Ljk3LC0xMTIuMzYiLz4KPHBvbHlnb24gZmlsbD0iYmxhY2siIHN0cm9rZT0iYmxhY2siIHBvaW50cz0iNTEuNDEsLTEwOS44NSA0MS44LC0xMDUuMzggNDYuNTMsLTExNC44NyA1MS40MSwtMTA5Ljg1Ii8+CjwvZz4KPCEtLSBpIC0tPgo8ZyBpZD0ibm9kZTUiIGNsYXNzPSJub2RlIj4KPHRpdGxlPmk8L3RpdGxlPgo8ZWxsaXBzZSBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBjeD0iOTkiIGN5PSItOTAiIHJ4PSIyNyIgcnk9IjE4Ii8+Cjx0ZXh0IHRleHQtYW5jaG9yPSJtaWRkbGUiIHg9Ijk5IiB5PSItODYuMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPmk8L3RleHQ+CjwvZz4KPCEtLSBjJiM0NTsmZ3Q7aSAtLT4KPGcgaWQ9ImVkZ2U0IiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT5jJiM0NTsmZ3Q7aTwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik05OSwtMTQzLjdDOTksLTEzNS45OCA5OSwtMTI2LjcxIDk5LC0xMTguMTEiLz4KPHBvbHlnb24gZmlsbD0iYmxhY2siIHN0cm9rZT0iYmxhY2siIHBvaW50cz0iMTAyLjUsLTExOC4xIDk5LC0xMDguMSA5NS41LC0xMTguMSAxMDIuNSwtMTE4LjEiLz4KPC9nPgo8IS0tIGggLS0+CjxnIGlkPSJub2RlNiIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+aDwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSIxNzEiIGN5PSItOTAiIHJ4PSIyNyIgcnk9IjE4Ii8+Cjx0ZXh0IHRleHQtYW5jaG9yPSJtaWRkbGUiIHg9IjE3MSIgeT0iLTg2LjMiIGZvbnQtZmFtaWx5PSInQ2FzY2FkaWEgQ29kZSBQTCcsICdKZXRCcmFpbnMgTW9ubycsICdJb3NldmthJywgJ0ZpcmEgQ29kZScsICdIYWNrJywgbW9ub3NwYWNlIiBmb250LXNpemU9IjE0LjAwIj5oPC90ZXh0Pgo8L2c+CjwhLS0gZSYjNDU7Jmd0O2ggLS0+CjxnIGlkPSJlZGdlNSIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+ZSYjNDU7Jmd0O2g8L3RpdGxlPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBkPSJNMTcxLC0xNDMuN0MxNzEsLTEzNS45OCAxNzEsLTEyNi43MSAxNzEsLTExOC4xMSIvPgo8cG9seWdvbiBmaWxsPSJibGFjayIgc3Ryb2tlPSJibGFjayIgcG9pbnRzPSIxNzQuNSwtMTE4LjEgMTcxLC0xMDguMSAxNjcuNSwtMTE4LjEgMTc0LjUsLTExOC4xIi8+CjwvZz4KPCEtLSBqIC0tPgo8ZyBpZD0ibm9kZTciIGNsYXNzPSJub2RlIj4KPHRpdGxlPmo8L3RpdGxlPgo8ZWxsaXBzZSBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBjeD0iMjQzIiBjeT0iLTkwIiByeD0iMjciIHJ5PSIxOCIvPgo8dGV4dCB0ZXh0LWFuY2hvcj0ibWlkZGxlIiB4PSIyNDMiIHk9Ii04Ni4zIiBmb250LWZhbWlseT0iJ0Nhc2NhZGlhIENvZGUgUEwnLCAnSmV0QnJhaW5zIE1vbm8nLCAnSW9zZXZrYScsICdGaXJhIENvZGUnLCAnSGFjaycsIG1vbm9zcGFjZSIgZm9udC1zaXplPSIxNC4wMCI+ajwvdGV4dD4KPC9nPgo8IS0tIGUmIzQ1OyZndDtqIC0tPgo8ZyBpZD0iZWRnZTYiIGNsYXNzPSJlZGdlIj4KPHRpdGxlPmUmIzQ1OyZndDtqPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTE4NS41NywtMTQ2LjgzQzE5NS43NSwtMTM2Ljk0IDIwOS41MiwtMTIzLjU1IDIyMS4wMywtMTEyLjM2Ii8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjIyMy40NywtMTE0Ljg3IDIyOC4yLC0xMDUuMzggMjE4LjU5LC0xMDkuODUgMjIzLjQ3LC0xMTQuODciLz4KPC9nPgo8IS0tIGQgLS0+CjxnIGlkPSJub2RlOCIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+ZDwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGN4PSI5OSIgY3k9Ii0xOCIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iOTkiIHk9Ii0xNC4zIiBmb250LWZhbWlseT0iJ0Nhc2NhZGlhIENvZGUgUEwnLCAnSmV0QnJhaW5zIE1vbm8nLCAnSW9zZXZrYScsICdGaXJhIENvZGUnLCAnSGFjaycsIG1vbm9zcGFjZSIgZm9udC1zaXplPSIxNC4wMCI+ZDwvdGV4dD4KPC9nPgo8IS0tIGkmIzQ1OyZndDtkIC0tPgo8ZyBpZD0iZWRnZTciIGNsYXNzPSJlZGdlIj4KPHRpdGxlPmkmIzQ1OyZndDtkPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTk5LC03MS43Qzk5LC02My45OCA5OSwtNTQuNzEgOTksLTQ2LjExIi8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjEwMi41LC00Ni4xIDk5LC0zNi4xIDk1LjUsLTQ2LjEgMTAyLjUsLTQ2LjEiLz4KPC9nPgo8L2c+Cjwvc3ZnPgo="}}]); \ No newline at end of file diff --git a/assets/js/337bc122.22826266.js b/assets/js/337bc122.1440444e.js similarity index 97% rename from assets/js/337bc122.22826266.js rename to assets/js/337bc122.1440444e.js index 9d72365..4fbadb9 100644 --- a/assets/js/337bc122.22826266.js +++ b/assets/js/337bc122.1440444e.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[1731],{3905:(e,t,r)=>{r.d(t,{Zo:()=>u,kt:()=>b});var n=r(7294);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function a(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var p=n.createContext({}),l=function(e){var t=n.useContext(p),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},u=function(e){var t=l(e.components);return n.createElement(p.Provider,{value:t},e.children)},s="mdxType",f={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},d=n.forwardRef((function(e,t){var r=e.components,o=e.mdxType,a=e.originalType,p=e.parentName,u=c(e,["components","mdxType","originalType","parentName"]),s=l(r),d=o,b=s["".concat(p,".").concat(d)]||s[d]||f[d]||a;return r?n.createElement(b,i(i({ref:t},u),{},{components:r})):n.createElement(b,i({ref:t},u))}));function b(e,t){var r=arguments,o=t&&t.mdxType;if("string"==typeof e||o){var a=r.length,i=new Array(a);i[0]=d;var c={};for(var p in t)hasOwnProperty.call(t,p)&&(c[p]=t[p]);c.originalType=e,c[s]="string"==typeof e?e:o,i[1]=c;for(var l=2;l{r.r(t),r.d(t,{assets:()=>p,contentTitle:()=>i,default:()=>f,frontMatter:()=>a,metadata:()=>c,toc:()=>l});var n=r(7462),o=(r(7294),r(3905));const a={id:"pb071-intro",title:"Introduction",slug:"/"},i=void 0,c={unversionedId:"pb071-intro",id:"pb071-intro",title:"Introduction",description:"",source:"@site/pb071/00-intro-pb071.md",sourceDirName:".",slug:"/",permalink:"/pb071/",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/00-intro-pb071.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",sidebarPosition:0,frontMatter:{id:"pb071-intro",title:"Introduction",slug:"/"},sidebar:"autogeneratedBar",next:{title:"Bonuses",permalink:"/pb071/category/bonuses"}},p={},l=[],u={toc:l},s="wrapper";function f(e){let{components:t,...r}=e;return(0,o.kt)(s,(0,n.Z)({},u,r,{components:t,mdxType:"MDXLayout"}))}f.isMDXComponent=!0}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[1731],{3905:(e,t,r)=>{r.d(t,{Zo:()=>u,kt:()=>b});var n=r(7294);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function a(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var p=n.createContext({}),l=function(e){var t=n.useContext(p),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},u=function(e){var t=l(e.components);return n.createElement(p.Provider,{value:t},e.children)},s="mdxType",f={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},d=n.forwardRef((function(e,t){var r=e.components,o=e.mdxType,a=e.originalType,p=e.parentName,u=c(e,["components","mdxType","originalType","parentName"]),s=l(r),d=o,b=s["".concat(p,".").concat(d)]||s[d]||f[d]||a;return r?n.createElement(b,i(i({ref:t},u),{},{components:r})):n.createElement(b,i({ref:t},u))}));function b(e,t){var r=arguments,o=t&&t.mdxType;if("string"==typeof e||o){var a=r.length,i=new Array(a);i[0]=d;var c={};for(var p in t)hasOwnProperty.call(t,p)&&(c[p]=t[p]);c.originalType=e,c[s]="string"==typeof e?e:o,i[1]=c;for(var l=2;l{r.r(t),r.d(t,{assets:()=>p,contentTitle:()=>i,default:()=>f,frontMatter:()=>a,metadata:()=>c,toc:()=>l});var n=r(7462),o=(r(7294),r(3905));const a={id:"pb071-intro",title:"Introduction",slug:"/"},i=void 0,c={unversionedId:"pb071-intro",id:"pb071-intro",title:"Introduction",description:"",source:"@site/pb071/00-intro-pb071.md",sourceDirName:".",slug:"/",permalink:"/pb071/",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/00-intro-pb071.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",sidebarPosition:0,frontMatter:{id:"pb071-intro",title:"Introduction",slug:"/"},sidebar:"autogeneratedBar",next:{title:"Bonuses",permalink:"/pb071/category/bonuses"}},p={},l=[],u={toc:l},s="wrapper";function f(e){let{components:t,...r}=e;return(0,o.kt)(s,(0,n.Z)({},u,r,{components:t,mdxType:"MDXLayout"}))}f.isMDXComponent=!0}}]); \ No newline at end of file diff --git a/assets/js/3de247b5.4bd0c3fd.js b/assets/js/3de247b5.4bd0c3fd.js new file mode 100644 index 0000000..ee57ce0 --- /dev/null +++ b/assets/js/3de247b5.4bd0c3fd.js @@ -0,0 +1 @@ +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[3184],{3905:(I,M,i)=>{i.d(M,{Zo:()=>c,kt:()=>m});var N=i(7294);function T(I,M,i){return M in I?Object.defineProperty(I,M,{value:i,enumerable:!0,configurable:!0,writable:!0}):I[M]=i,I}function g(I,M){var i=Object.keys(I);if(Object.getOwnPropertySymbols){var N=Object.getOwnPropertySymbols(I);M&&(N=N.filter((function(M){return Object.getOwnPropertyDescriptor(I,M).enumerable}))),i.push.apply(i,N)}return i}function j(I){for(var M=1;M=0||(T[i]=I[i]);return T}(I,M);if(Object.getOwnPropertySymbols){var g=Object.getOwnPropertySymbols(I);for(N=0;N=0||Object.prototype.propertyIsEnumerable.call(I,i)&&(T[i]=I[i])}return T}var Z=N.createContext({}),D=function(I){var M=N.useContext(Z),i=M;return I&&(i="function"==typeof I?I(M):j(j({},M),I)),i},c=function(I){var M=D(I.components);return N.createElement(Z.Provider,{value:M},I.children)},l="mdxType",C={inlineCode:"code",wrapper:function(I){var M=I.children;return N.createElement(N.Fragment,{},M)}},G=N.forwardRef((function(I,M){var i=I.components,T=I.mdxType,g=I.originalType,Z=I.parentName,c=z(I,["components","mdxType","originalType","parentName"]),l=D(i),G=T,m=l["".concat(Z,".").concat(G)]||l[G]||C[G]||g;return i?N.createElement(m,j(j({ref:M},c),{},{components:i})):N.createElement(m,j({ref:M},c))}));function m(I,M){var i=arguments,T=M&&M.mdxType;if("string"==typeof I||T){var g=i.length,j=new Array(g);j[0]=G;var z={};for(var Z in M)hasOwnProperty.call(M,Z)&&(z[Z]=M[Z]);z.originalType=I,z[l]="string"==typeof I?I:T,j[1]=z;for(var D=2;D{i.r(M),i.d(M,{assets:()=>k,contentTitle:()=>n,default:()=>Y,frontMatter:()=>y,metadata:()=>e,toc:()=>O});var N=i(7462),T=i(7294),g=i(3905),j=i(6010),z=i(2466),Z=i(6550),D=i(1980),c=i(7392),l=i(12);function C(I){return function(I){return T.Children.map(I,(I=>{if(!I||(0,T.isValidElement)(I)&&function(I){const{props:M}=I;return!!M&&"object"==typeof M&&"value"in M}(I))return I;throw new Error(`Docusaurus error: Bad child <${"string"==typeof I.type?I.type:I.type.name}>: all children of the component should be , and every should have a unique "value" prop.`)}))?.filter(Boolean)??[]}(I).map((I=>{let{props:{value:M,label:i,attributes:N,default:T}}=I;return{value:M,label:i,attributes:N,default:T}}))}function G(I){const{values:M,children:i}=I;return(0,T.useMemo)((()=>{const I=M??C(i);return function(I){const M=(0,c.l)(I,((I,M)=>I.value===M.value));if(M.length>0)throw new Error(`Docusaurus error: Duplicate values "${M.map((I=>I.value)).join(", ")}" found in . Every value needs to be unique.`)}(I),I}),[M,i])}function m(I){let{value:M,tabValues:i}=I;return i.some((I=>I.value===M))}function b(I){let{queryString:M=!1,groupId:i}=I;const N=(0,Z.k6)(),g=function(I){let{queryString:M=!1,groupId:i}=I;if("string"==typeof M)return M;if(!1===M)return null;if(!0===M&&!i)throw new Error('Docusaurus error: The component groupId prop is required if queryString=true, because this value is used as the search param name. You can also provide an explicit value such as queryString="my-search-param".');return i??null}({queryString:M,groupId:i});return[(0,D._X)(g),(0,T.useCallback)((I=>{if(!g)return;const M=new URLSearchParams(N.location.search);M.set(g,I),N.replace({...N.location,search:M.toString()})}),[g,N])]}function S(I){const{defaultValue:M,queryString:i=!1,groupId:N}=I,g=G(I),[j,z]=(0,T.useState)((()=>function(I){let{defaultValue:M,tabValues:i}=I;if(0===i.length)throw new Error("Docusaurus error: the component requires at least one children component");if(M){if(!m({value:M,tabValues:i}))throw new Error(`Docusaurus error: The has a defaultValue "${M}" but none of its children has the corresponding value. Available values are: ${i.map((I=>I.value)).join(", ")}. If you intend to show no default tab, use defaultValue={null} instead.`);return M}const N=i.find((I=>I.default))??i[0];if(!N)throw new Error("Unexpected error: 0 tabValues");return N.value}({defaultValue:M,tabValues:g}))),[Z,D]=b({queryString:i,groupId:N}),[c,C]=function(I){let{groupId:M}=I;const i=function(I){return I?`docusaurus.tab.${I}`:null}(M),[N,g]=(0,l.Nk)(i);return[N,(0,T.useCallback)((I=>{i&&g.set(I)}),[i,g])]}({groupId:N}),S=(()=>{const I=Z??c;return m({value:I,tabValues:g})?I:null})();(0,T.useLayoutEffect)((()=>{S&&z(S)}),[S]);return{selectedValue:j,selectValue:(0,T.useCallback)((I=>{if(!m({value:I,tabValues:g}))throw new Error(`Can't select invalid tab value=${I}`);z(I),D(I),C(I)}),[D,C,g]),tabValues:g}}var L=i(2389);const t={tabList:"tabList__CuJ",tabItem:"tabItem_LNqP"};function x(I){let{className:M,block:i,selectedValue:g,selectValue:Z,tabValues:D}=I;const c=[],{blockElementScrollPositionUntilNextRender:l}=(0,z.o5)(),C=I=>{const M=I.currentTarget,i=c.indexOf(M),N=D[i].value;N!==g&&(l(M),Z(N))},G=I=>{let M=null;switch(I.key){case"Enter":C(I);break;case"ArrowRight":{const i=c.indexOf(I.currentTarget)+1;M=c[i]??c[0];break}case"ArrowLeft":{const i=c.indexOf(I.currentTarget)-1;M=c[i]??c[c.length-1];break}}M?.focus()};return T.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:(0,j.Z)("tabs",{"tabs--block":i},M)},D.map((I=>{let{value:M,label:i,attributes:z}=I;return T.createElement("li",(0,N.Z)({role:"tab",tabIndex:g===M?0:-1,"aria-selected":g===M,key:M,ref:I=>c.push(I),onKeyDown:G,onClick:C},z,{className:(0,j.Z)("tabs__item",t.tabItem,z?.className,{"tabs__item--active":g===M})}),i??M)})))}function w(I){let{lazy:M,children:i,selectedValue:N}=I;const g=(Array.isArray(i)?i:[i]).filter(Boolean);if(M){const I=g.find((I=>I.props.value===N));return I?(0,T.cloneElement)(I,{className:"margin-top--md"}):null}return T.createElement("div",{className:"margin-top--md"},g.map(((I,M)=>(0,T.cloneElement)(I,{key:M,hidden:I.props.value!==N}))))}function s(I){const M=S(I);return T.createElement("div",{className:(0,j.Z)("tabs-container",t.tabList)},T.createElement(x,(0,N.Z)({},I,M)),T.createElement(w,(0,N.Z)({},I,M)))}function P(I){const M=(0,L.Z)();return T.createElement(s,(0,N.Z)({key:String(M)},I))}const d={tabItem:"tabItem_Ymn6"};function a(I){let{children:M,hidden:i,className:N}=I;return T.createElement("div",{role:"tabpanel",className:(0,j.Z)(d.tabItem,N),hidden:i},M)}const y={id:"rules",title:"On the rules of the red-black tree",description:"Shower thoughts on the rules of the red-black tree.\n",tags:["red-black trees","balanced trees"],last_update:{date:new Date("2023-06-10T00:00:00.000Z")}},n=void 0,e={unversionedId:"rb-trees/rules",id:"rb-trees/rules",title:"On the rules of the red-black tree",description:"Shower thoughts on the rules of the red-black tree.\n",source:"@site/ib002/08-rb-trees/2023-06-10-rules.md",sourceDirName:"08-rb-trees",slug:"/rb-trees/rules",permalink:"/ib002/rb-trees/rules",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/08-rb-trees/2023-06-10-rules.md",tags:[{label:"red-black trees",permalink:"/ib002/tags/red-black-trees"},{label:"balanced trees",permalink:"/ib002/tags/balanced-trees"}],version:"current",lastUpdatedAt:1686355200,formattedLastUpdatedAt:"Jun 10, 2023",frontMatter:{id:"rules",title:"On the rules of the red-black tree",description:"Shower thoughts on the rules of the red-black tree.\n",tags:["red-black trees","balanced trees"],last_update:{date:"2023-06-10T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Pou\u017eit\xed \u010derveno-\u010dern\xfdch strom\u016f",permalink:"/ib002/rb-trees/applications"},next:{title:"Graphs",permalink:"/ib002/category/graphs"}},k={},O=[{value:"Introduction",id:"introduction",level:2},{value:"1\xaa Every node is either red or black.",id:"1\xaa-every-node-is-either-red-or-black",level:2},{value:"Do I really need the nodes to be explicitly colored?",id:"do-i-really-need-the-nodes-to-be-explicitly-colored",level:3},{value:"Black height",id:"black-height",level:4},{value:"Isomorphic trees",id:"isomorphic-trees",level:4},{value:"2\xaa The root is black.",id:"2\xaa-the-root-is-black",level:2},{value:"3\xaa Every leaf (nil) is black.",id:"3\xaa-every-leaf-nil-is-black",level:2},{value:"4\xaa If a node is red, then both its children are black.",id:"4\xaa-if-a-node-is-red-then-both-its-children-are-black",level:2},{value:"5\xaa For each node, all simple paths from the node to descendant leaves contain the same number of black nodes.",id:"5\xaa-for-each-node-all-simple-paths-from-the-node-to-descendant-leaves-contain-the-same-number-of-black-nodes",level:2}],u={toc:O},U="wrapper";function Y(I){let{components:M,...T}=I;return(0,g.kt)(U,(0,N.Z)({},u,T,{components:M,mdxType:"MDXLayout"}),(0,g.kt)("h2",{id:"introduction"},"Introduction"),(0,g.kt)("p",null,"Have you ever thought about the red-black tree rules in more depth? Why are they\nformulated the way they are? How come they keep the tree balanced? Let's go through\neach of the red-black tree rules and try to change, break and contemplate about\nthem."),(0,g.kt)("p",null,"We expect that you are familiar with the following set of the rules",(0,g.kt)("sup",{parentName:"p",id:"fnref-1"},(0,g.kt)("a",{parentName:"sup",href:"#fn-1",className:"footnote-ref"},"1")),":"),(0,g.kt)("ol",null,(0,g.kt)("li",{parentName:"ol"},"Every node is either red or black."),(0,g.kt)("li",{parentName:"ol"},"The root is black."),(0,g.kt)("li",{parentName:"ol"},"Every leaf (",(0,g.kt)("inlineCode",{parentName:"li"},"nil"),") is black."),(0,g.kt)("li",{parentName:"ol"},"If a node is red, then both its children are black."),(0,g.kt)("li",{parentName:"ol"},"For each node, all simple paths from the node to descendant leaves contain the\nsame number of black nodes.")),(0,g.kt)("p",null,"Each section will go into ",(0,g.kt)("em",{parentName:"p"},"reasonable")," details of each rule."),(0,g.kt)("h2",{id:"1\xaa-every-node-is-either-red-or-black"},"1\xaa Every node is either red or black."),(0,g.kt)("p",null,"OK\u2026 This one is very simple. It is just a definition and is used in all other\nrules. Not much to talk about here. Or is there?"),(0,g.kt)("h3",{id:"do-i-really-need-the-nodes-to-be-explicitly-colored"},"Do I really need the nodes to be explicitly colored?"),(0,g.kt)("p",null,"The answer is no. Balancing of the red-black trees is \u201cenforced\u201d by the 4th and\n5th rule in the enumeration above. There are many ways you can avoid using colors."),(0,g.kt)("h4",{id:"black-height"},"Black height"),(0,g.kt)("p",null,"We mentioned the 4th and 5th rule and that it enforces the balancing. What does\nit mean for us?"),(0,g.kt)("p",null,"Well, we definitely do not have to use the colors, which even as a ",(0,g.kt)("em",{parentName:"p"},"boolean")," flag\nwould take at least 1 byte of space (and usually even more), cause\u2026 well, it is\neasier for the CPU to work with words rather than single bits."),(0,g.kt)("p",null,"We could use the black height, couldn't we? It would mean more memory used, cause\nit should be ideally big and unsigned. Can we tell the color of a node from the\nblack height? Of course we can, if my child has the same black height as I do,\nit means that there was no black node added on the path between us and therefore\nmy child would be colored red."),(0,g.kt)("p",null,"Example of a red-black tree that keeps count of black nodes on paths to the\nleaves follows:"),(0,g.kt)("p",null,(0,g.kt)("img",{alt:"Red-black tree with black height",src:i(4866).Z+"#gh-light-mode-only",width:"923",height:"539"}),"\n",(0,g.kt)("img",{alt:"Red-black tree with black height",src:i(1185).Z+"#gh-dark-mode-only",width:"923",height:"539"})),(0,g.kt)("p",null,"We mark the ",(0,g.kt)("em",{parentName:"p"},"black heights")," in superscript. You can see that all leaves have the\nblack height equal to ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mn",{parentName:"mrow"},"1")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"1"))))),". Let's take a look at some of the interesting cases:"),(0,g.kt)("ul",null,(0,g.kt)("li",{parentName:"ul"},(0,g.kt)("p",{parentName:"li"},"If we take a look at the node with ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mtext",{parentName:"mrow"},"key"),(0,g.kt)("mo",{parentName:"mrow"},"="),(0,g.kt)("mn",{parentName:"mrow"},"9")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{key} = 9")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,g.kt)("span",{parentName:"span",className:"mord text"},(0,g.kt)("span",{parentName:"span",className:"mord"},"key")),(0,g.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,g.kt)("span",{parentName:"span",className:"mrel"},"="),(0,g.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"9"))))),", we can see that it is\ncoloured red and its black height is 1, because it is a leaf."),(0,g.kt)("p",{parentName:"li"},"Let's look at its parent (node with ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mtext",{parentName:"mrow"},"key"),(0,g.kt)("mo",{parentName:"mrow"},"="),(0,g.kt)("mn",{parentName:"mrow"},"8")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{key} = 8")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,g.kt)("span",{parentName:"span",className:"mord text"},(0,g.kt)("span",{parentName:"span",className:"mord"},"key")),(0,g.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,g.kt)("span",{parentName:"span",className:"mrel"},"="),(0,g.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"8"))))),"). On its left side it has\n",(0,g.kt)("inlineCode",{parentName:"p"},"nil")," and on its right side the ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mn",{parentName:"mrow"},"9")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"9")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"9"))))),". And its black height is still ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mn",{parentName:"mrow"},"1")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"1"))))),", cause\nexcept for the ",(0,g.kt)("inlineCode",{parentName:"p"},"nil")," leaves, there are no other black nodes."),(0,g.kt)("p",{parentName:"li"},"We can clearly see that if a node has the same black height as its parent, it\nis a red node.")),(0,g.kt)("li",{parentName:"ul"},(0,g.kt)("p",{parentName:"li"},"Now let's take a look at the root with ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mtext",{parentName:"mrow"},"key"),(0,g.kt)("mo",{parentName:"mrow"},"="),(0,g.kt)("mn",{parentName:"mrow"},"3")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{key} = 3")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,g.kt)("span",{parentName:"span",className:"mord text"},(0,g.kt)("span",{parentName:"span",className:"mord"},"key")),(0,g.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,g.kt)("span",{parentName:"span",className:"mrel"},"="),(0,g.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"3"))))),". It has a black height\nof 3. Both of its children are black nodes and have black height of 2."),(0,g.kt)("p",{parentName:"li"},"We can see that if a node has its height 1 lower than its parent, it is a black\nnode."),(0,g.kt)("p",{parentName:"li"},"The reasoning behind it is rather simple, we count the black nodes all the way\nto the leaves, therefore if my parent has a higher black height, it means that\non the path from me to my parent there is a black node, but the only node added\nis me, therefore I must be black."))),(0,g.kt)("h4",{id:"isomorphic-trees"},"Isomorphic trees"),(0,g.kt)("p",null,"One of the other ways to avoid using color is storing the red-black tree in some\nisomorphic tree. The structure of 2-3-4 tree allows us to avoid using the color\ncompletely. This is a bit different approach, cause we would be basically using\ndifferent tree, so we keep this note in just as a \u201chack\u201d."),(0,g.kt)("h2",{id:"2\xaa-the-root-is-black"},"2\xaa The root is black."),(0,g.kt)("p",null,"This rule might seem like a very important one, but overall is not. You can safely\nomit this rule, but you also need to deal with the consequences."),(0,g.kt)("p",null,"Let's refresh our memory with the algorithm of ",(0,g.kt)("em",{parentName:"p"},"insert fixup"),":"),(0,g.kt)("pre",null,(0,g.kt)("code",{parentName:"pre"},"WHILE z.p.color == Red\n IF z.p == z.p.p.left\n y = z.p.p.right\n\n IF y.color == Red\n z.p.color = Black\n y.color = Black\n z.p.p.color = Red\n z = z.p.p\n ELSE\n IF z == z.p.right\n z = z.p\n Left-Rotate(T, z)\n z.p.color = Black\n z.p.p.color = Red\n Right-Rotate(T, z.p.p)\n ELSE (same as above with \u201cright\u201d and \u201cleft\u201d exchanged)\n\nT.root.color = Black\n")),(0,g.kt)("admonition",{type:"tip"},(0,g.kt)("p",{parentName:"admonition"},"If you have tried to implement any of the more complex data structures, such as\nred-black trees, etc., in a statically typed language that also checks you for\n",(0,g.kt)("inlineCode",{parentName:"p"},"NULL"),"-correctness (e.g. ",(0,g.kt)("em",{parentName:"p"},"mypy")," or even C# with nullable reference types), you\nmight have run into numerous issues in the cases where you are 100% sure that you\ncannot obtain ",(0,g.kt)("inlineCode",{parentName:"p"},"NULL")," because of the invariants, but the static type checking\ndoesn't know that."),(0,g.kt)("p",{parentName:"admonition"},"The issue we hit with the ",(0,g.kt)("em",{parentName:"p"},"insert fixup")," is very similar.")),(0,g.kt)("p",null,"You might not realize the issue at the first sight, but the algorithm described\nwith the pseudocode above expects that the root of the red-black tree is black by\nboth relying on the invariant in the algorithm and afterwards by enforcing the\nblack root property."),(0,g.kt)("p",null,"If we decide to omit this condition, we need to address it in the pseudocodes\naccordingly."),(0,g.kt)("table",null,(0,g.kt)("thead",{parentName:"table"},(0,g.kt)("tr",{parentName:"thead"},(0,g.kt)("th",{parentName:"tr",align:"center"},"Usual algorithm with black root"),(0,g.kt)("th",{parentName:"tr",align:"center"},"Allowing red root"))),(0,g.kt)("tbody",{parentName:"table"},(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"1\xaa insertion",src:i(5018).Z+"#gh-light-mode-only",width:"179",height:"155"}),(0,g.kt)("img",{alt:"1\xaa insertion",src:i(4241).Z+"#gh-dark-mode-only",width:"179",height:"155"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"1\xaa insertion",src:i(2227).Z+"#gh-light-mode-only",width:"179",height:"155"}),(0,g.kt)("img",{alt:"1\xaa insertion",src:i(3591).Z+"#gh-dark-mode-only",width:"179",height:"155"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"2\xaa insertion",src:i(8491).Z+"#gh-light-mode-only",width:"227",height:"251"}),(0,g.kt)("img",{alt:"2\xaa insertion",src:i(9232).Z+"#gh-dark-mode-only",width:"227",height:"251"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"2\xaa insertion",src:i(6805).Z+"#gh-light-mode-only",width:"227",height:"251"}),(0,g.kt)("img",{alt:"2\xaa insertion",src:i(7690).Z+"#gh-dark-mode-only",width:"227",height:"251"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"3\xaa insertion",src:i(4485).Z+"#gh-light-mode-only",width:"371",height:"251"}),(0,g.kt)("img",{alt:"3\xaa insertion",src:i(3559).Z+"#gh-dark-mode-only",width:"371",height:"251"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"3\xaa insertion",src:i(7676).Z+"#gh-light-mode-only",width:"371",height:"251"}),(0,g.kt)("img",{alt:"3\xaa insertion",src:i(9861).Z+"#gh-dark-mode-only",width:"371",height:"251"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"4\xaa insertion",src:i(3037).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,g.kt)("img",{alt:"4\xaa insertion",src:i(9034).Z+"#gh-dark-mode-only",width:"419",height:"347"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"4\xaa insertion",src:i(7632).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,g.kt)("img",{alt:"4\xaa insertion",src:i(4110).Z+"#gh-dark-mode-only",width:"419",height:"347"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"5\xaa insertion",src:i(4961).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,g.kt)("img",{alt:"5\xaa insertion",src:i(4236).Z+"#gh-dark-mode-only",width:"419",height:"347"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"5\xaa insertion",src:i(7109).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,g.kt)("img",{alt:"5\xaa insertion",src:i(9418).Z+"#gh-dark-mode-only",width:"419",height:"347"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"6\xaa insertion",src:i(6061).Z+"#gh-light-mode-only",width:"563",height:"347"}),(0,g.kt)("img",{alt:"6\xaa insertion",src:i(376).Z+"#gh-dark-mode-only",width:"563",height:"347"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"6\xaa insertion",src:i(8998).Z+"#gh-light-mode-only",width:"563",height:"347"}),(0,g.kt)("img",{alt:"6\xaa insertion",src:i(3533).Z+"#gh-dark-mode-only",width:"563",height:"347"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"7\xaa insertion",src:i(7115).Z+"#gh-light-mode-only",width:"563",height:"443"}),(0,g.kt)("img",{alt:"7\xaa insertion",src:i(9010).Z+"#gh-dark-mode-only",width:"563",height:"443"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"7\xaa insertion",src:i(2366).Z+"#gh-light-mode-only",width:"563",height:"443"}),(0,g.kt)("img",{alt:"7\xaa insertion",src:i(4269).Z+"#gh-dark-mode-only",width:"563",height:"443"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"8\xaa insertion",src:i(7239).Z+"#gh-light-mode-only",width:"635",height:"443"}),(0,g.kt)("img",{alt:"8\xaa insertion",src:i(2399).Z+"#gh-dark-mode-only",width:"635",height:"443"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"8\xaa insertion",src:i(3927).Z+"#gh-light-mode-only",width:"635",height:"443"}),(0,g.kt)("img",{alt:"8\xaa insertion",src:i(122).Z+"#gh-dark-mode-only",width:"635",height:"443"}))),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"9\xaa insertion",src:i(1461).Z+"#gh-light-mode-only",width:"755",height:"443"}),(0,g.kt)("img",{alt:"9\xaa insertion",src:i(2705).Z+"#gh-dark-mode-only",width:"755",height:"443"})),(0,g.kt)("td",{parentName:"tr",align:"center"},(0,g.kt)("img",{alt:"9\xaa insertion",src:i(5509).Z+"#gh-light-mode-only",width:"755",height:"443"}),(0,g.kt)("img",{alt:"9\xaa insertion",src:i(2476).Z+"#gh-dark-mode-only",width:"755",height:"443"}))))),(0,g.kt)("h2",{id:"3\xaa-every-leaf-nil-is-black"},"3\xaa Every leaf (",(0,g.kt)("inlineCode",{parentName:"h2"},"nil"),") is black."),(0,g.kt)("p",null,"Now, this rule is a funny one. What does this imply and can I interpret this in\nsome other way? Let's go through some of the possible ways I can look at this and\nhow would they affect the other rules and balancing."),(0,g.kt)("p",null,"We will experiment with the following tree:\n",(0,g.kt)("img",{src:i(6034).Z+"#gh-light-mode-only",width:"899",height:"539"}),"\n",(0,g.kt)("img",{src:i(4254).Z+"#gh-dark-mode-only",width:"899",height:"539"})),(0,g.kt)("p",null,"We should start by counting the black nodes from root to the ",(0,g.kt)("inlineCode",{parentName:"p"},"nil")," leaves based\non the rules. We have multiple similar paths, so we will pick only the interesting\nones."),(0,g.kt)("ol",null,(0,g.kt)("li",{parentName:"ol"},"What happens if we do not count the ",(0,g.kt)("inlineCode",{parentName:"li"},"nil")," leaves?"),(0,g.kt)("li",{parentName:"ol"},"What happens if we consider leaves the nodes with ",(0,g.kt)("em",{parentName:"li"},"no descendants"),", i.e. both\nof node's children are ",(0,g.kt)("inlineCode",{parentName:"li"},"nil"),"?"),(0,g.kt)("li",{parentName:"ol"},"What happens if we do not count the ",(0,g.kt)("inlineCode",{parentName:"li"},"nil")," leaves, but consider nodes with at\nleast one ",(0,g.kt)("inlineCode",{parentName:"li"},"nil")," descendant as leaves?")),(0,g.kt)("table",null,(0,g.kt)("thead",{parentName:"table"},(0,g.kt)("tr",{parentName:"thead"},(0,g.kt)("th",{parentName:"tr",align:"right"},"path"),(0,g.kt)("th",{parentName:"tr",align:"right"},"black nodes"),(0,g.kt)("th",{parentName:"tr",align:"right"},"1\xaa idea"),(0,g.kt)("th",{parentName:"tr",align:"right"},"2\xaa idea"),(0,g.kt)("th",{parentName:"tr",align:"right"},"3\xaa idea"))),(0,g.kt)("tbody",{parentName:"table"},(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"right"},(0,g.kt)("inlineCode",{parentName:"td"},"3 \u2192 1 \u2192 0 \u2192 nil")),(0,g.kt)("td",{parentName:"tr",align:"right"},"4"),(0,g.kt)("td",{parentName:"tr",align:"right"},"3"),(0,g.kt)("td",{parentName:"tr",align:"right"},"4"),(0,g.kt)("td",{parentName:"tr",align:"right"},"3")),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"right"},(0,g.kt)("inlineCode",{parentName:"td"},"3 \u2192 5 \u2192 7 \u2192 8 \u2192 nil")),(0,g.kt)("td",{parentName:"tr",align:"right"},"4"),(0,g.kt)("td",{parentName:"tr",align:"right"},"3"),(0,g.kt)("td",{parentName:"tr",align:"right"},"-"),(0,g.kt)("td",{parentName:"tr",align:"right"},"3")),(0,g.kt)("tr",{parentName:"tbody"},(0,g.kt)("td",{parentName:"tr",align:"right"},(0,g.kt)("inlineCode",{parentName:"td"},"3 \u2192 5 \u2192 7 \u2192 8 \u2192 9 \u2192 nil")),(0,g.kt)("td",{parentName:"tr",align:"right"},"4"),(0,g.kt)("td",{parentName:"tr",align:"right"},"3"),(0,g.kt)("td",{parentName:"tr",align:"right"},"4"),(0,g.kt)("td",{parentName:"tr",align:"right"},"3")))),(0,g.kt)("p",null,"First idea is very easy to execute and it is also very easy to argue about its\ncorrectness. It is correct, because we just subtract one from each of the paths.\nThis affects ",(0,g.kt)("strong",{parentName:"p"},"all")," paths and therefore results in global decrease by one."),(0,g.kt)("p",null,"Second idea is a bit more complicated. We count the ",(0,g.kt)("inlineCode",{parentName:"p"},"nil"),"s, so the count is ",(0,g.kt)("span",{parentName:"p",className:"math math-inline"},(0,g.kt)("span",{parentName:"span",className:"katex"},(0,g.kt)("span",{parentName:"span",className:"katex-mathml"},(0,g.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,g.kt)("semantics",{parentName:"math"},(0,g.kt)("mrow",{parentName:"semantics"},(0,g.kt)("mn",{parentName:"mrow"},"4")),(0,g.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"4")))),(0,g.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,g.kt)("span",{parentName:"span",className:"base"},(0,g.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,g.kt)("span",{parentName:"span",className:"mord"},"4"))))),"\nas it should be. However, there is one difference. Second path no longer satisfies\nthe condition of a ",(0,g.kt)("em",{parentName:"p"},"leaf"),". Technically it relaxes the 5th rule, because we leave\nout some of the nodes. We should probably avoid that."),(0,g.kt)("admonition",{type:"caution"},(0,g.kt)("p",{parentName:"admonition"},"With the second idea, you may also feel that we are \u201cbending\u201d the rules a bit,\nespecially the definition of the \u201cleaf\u201d nodes."),(0,g.kt)("p",{parentName:"admonition"},"Given the definition of the red-black tree, where ",(0,g.kt)("inlineCode",{parentName:"p"},"nil")," is considered to be an\nexternal node, we have decided that bending it a bit just to stir a thought about\nit won't hurt anybody. \ud83d\ude09")),(0,g.kt)("h2",{id:"4\xaa-if-a-node-is-red-then-both-its-children-are-black"},"4\xaa If a node is red, then both its children are black."),(0,g.kt)("p",null,"This rule might seem rather silly on the first look, but there are 2 important\nfunctions:"),(0,g.kt)("ol",null,(0,g.kt)("li",{parentName:"ol"},"it allows the algorithms to ",(0,g.kt)("em",{parentName:"li"},"\u201cnotice\u201d")," that something went wrong (i.e. the\ntree needs to be rebalanced), and"),(0,g.kt)("li",{parentName:"ol"},"it holds the balancing and height of the tree ",(0,g.kt)("em",{parentName:"li"},"\u201cin check\u201d")," (with the help of\nthe 5th rule).")),(0,g.kt)("p",null,"When we have a look at the algorithms that are used for fixing up the red-black\ntree after an insertion or deletion, we will notice that all the algorithms need\nis the color of the node. "),(0,g.kt)("blockquote",null,(0,g.kt)("p",{parentName:"blockquote"},"How come it is the only thing that we need?\nHow come such na\xefve thing can be enough?")),(0,g.kt)("p",null,"Let's say we perform an insertion into the tree\u2026 We go with the usual and pretty\nprimitive insertion into the binary-search tree and then, if needed, we \u201cfix up\u201d\nbroken invariants. ",(0,g.kt)("em",{parentName:"p"},"How can that be enough?")," With each insertion and deletion we\nmaintain the invariants, therefore if we break them with one operation, there's\nonly one path on which the invariants were ",(0,g.kt)("em",{parentName:"p"},"felled"),". If we know that rest of the\ntree is correct, it allows us to fix the issues just by propagating it to the\nroot and ",(0,g.kt)("em",{parentName:"p"},"abusing")," the siblings (which are, of course, correct red-black\nsubtrees) to fix or at least partially mitigate the issues and propagate them\nfurther."),(0,g.kt)("p",null,"Let's assume that we do not enforce this rule, you can see how it breaks the\nbalancing of the tree below."),(0,g.kt)(P,{mdxType:"Tabs"},(0,g.kt)(a,{value:"enforcing",label:"Enforcing this rule",mdxType:"TabItem"},(0,g.kt)("p",null,(0,g.kt)("img",{src:i(2815).Z+"#gh-light-mode-only",width:"755",height:"347"}),"\n",(0,g.kt)("img",{src:i(6754).Z+"#gh-dark-mode-only",width:"755",height:"347"}))),(0,g.kt)(a,{value:"omitting",label:"Omitting this rule",mdxType:"TabItem"},(0,g.kt)("p",null,(0,g.kt)("img",{src:i(8800).Z+"#gh-light-mode-only",width:"803",height:"443"}),"\n",(0,g.kt)("img",{src:i(9183).Z+"#gh-dark-mode-only",width:"803",height:"443"})))),(0,g.kt)("p",null,"We can create a ",(0,g.kt)("strong",{parentName:"p"},"big")," subtree with only red nodes and ",(0,g.kt)("strong",{parentName:"p"},"even")," when keeping\nthe rest of the rules maintained, it will break the time complexity. It stops us\nfrom \u201chacking\u201d the black height requirement laid by the 5th rule."),(0,g.kt)("h2",{id:"5\xaa-for-each-node-all-simple-paths-from-the-node-to-descendant-leaves-contain-the-same-number-of-black-nodes"},"5\xaa For each node, all simple paths from the node to descendant leaves contain the same number of black nodes."),(0,g.kt)("p",null,"As it was mentioned, with the 4th rule they hold the balancing of the red-black\ntree."),(0,g.kt)("admonition",{type:"tip"},(0,g.kt)("p",{parentName:"admonition"},"An important observation here is the fact that the red-black tree is a\n",(0,g.kt)("strong",{parentName:"p"},"height"),"-balanced tree.")),(0,g.kt)("p",null,"Enforcing this rule (together with the 4th rule) keeps the tree balanced:"),(0,g.kt)("ol",null,(0,g.kt)("li",{parentName:"ol"},"4th rule makes sure we can't \u201chack\u201d this requirement."),(0,g.kt)("li",{parentName:"ol"},"This rule ensures that we have \u201csimilar\u201d",(0,g.kt)("sup",{parentName:"li",id:"fnref-2"},(0,g.kt)("a",{parentName:"sup",href:"#fn-2",className:"footnote-ref"},"2"))," length to each of the leaves.")),(0,g.kt)("admonition",{title:"AVL tree",type:"tip"},(0,g.kt)("p",{parentName:"admonition"},"You might have heard about an ",(0,g.kt)("em",{parentName:"p"},"AVL tree")," before. It is the first self-balanced\ntree to be ever introduced and works in a very similar nature as the red-black\ntree, the only difference is that it does not deal with the ",(0,g.kt)("em",{parentName:"p"},"black height"),", but\nthe height in general."),(0,g.kt)("p",{parentName:"admonition"},"If you were to compare AVL with the red-black tree, you can say that AVL is much\nmore strict while red-black tree can still maintain the same asymptotic time\ncomplexity for the operations, but having more relaxed rules.")),(0,g.kt)("div",{className:"footnotes"},(0,g.kt)("hr",{parentName:"div"}),(0,g.kt)("ol",{parentName:"div"},(0,g.kt)("li",{parentName:"ol",id:"fn-1"},"CORMEN, Thomas. Introduction to algorithms. Cambridge, Mass: MIT Press, 2009. isbn 9780262033848.",(0,g.kt)("a",{parentName:"li",href:"#fnref-1",className:"footnote-backref"},"\u21a9")),(0,g.kt)("li",{parentName:"ol",id:"fn-2"},"red nodes still exist",(0,g.kt)("a",{parentName:"li",href:"#fnref-2",className:"footnote-backref"},"\u21a9")))))}Y.isMDXComponent=!0},4254:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rb_dark-2917b0f8de62597646b619102f126a53.svg"},1185:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rb_height_dark-921b2d98d9fe1e579474faf36486f281.svg"},4866:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rb_height_light-0aff6e7a40a9f601e0dd1114e43e43b1.svg"},6034:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rb_light-9889570d993cf4a78a1bcccfbd76eab4.svg"},6754:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: %3 Pages: 1 -->
<svg width="566pt" height="260pt"
 viewBox="0.00 0.00 566.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>%3</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-256 562,-256 562,4 -4,4"/>
<!-- Node(value=3, rank=2) -->
<g id="node1" class="node">
<title>Node(value=3, rank=2)</title>
<ellipse fill="none" stroke="white" cx="279" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="279" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">3</text>
</g>
<!-- Node(value=1, rank=1) -->
<g id="node2" class="node">
<title>Node(value=1, rank=1)</title>
<ellipse fill="none" stroke="red" cx="207" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">1</text>
</g>
<!-- Node(value=3, rank=2)&#45;&gt;Node(value=1, rank=1) -->
<g id="edge1" class="edge">
<title>Node(value=3, rank=2)&#45;&gt;Node(value=1, rank=1)</title>
<path fill="none" stroke="white" d="M264.43,-218.83C254.25,-208.94 240.48,-195.55 228.97,-184.36"/>
<polygon fill="transparent" stroke="white" points="231.41,-181.85 221.8,-177.38 226.53,-186.87 231.41,-181.85"/>
</g>
<!-- Node(value=5, rank=1) -->
<g id="node7" class="node">
<title>Node(value=5, rank=1)</title>
<ellipse fill="none" stroke="white" cx="351" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="351" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- Node(value=3, rank=2)&#45;&gt;Node(value=5, rank=1) -->
<g id="edge4" class="edge">
<title>Node(value=3, rank=2)&#45;&gt;Node(value=5, rank=1)</title>
<path fill="none" stroke="white" d="M293.57,-218.83C303.75,-208.94 317.52,-195.55 329.03,-184.36"/>
<polygon fill="transparent" stroke="white" points="331.47,-186.87 336.2,-177.38 326.59,-181.85 331.47,-186.87"/>
</g>
<!-- Node(value=0, rank=0) -->
<g id="node5" class="node">
<title>Node(value=0, rank=0)</title>
<ellipse fill="none" stroke="white" cx="99" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">0</text>
</g>
<!-- Node(value=1, rank=1)&#45;&gt;Node(value=0, rank=0) -->
<g id="edge2" class="edge">
<title>Node(value=1, rank=1)&#45;&gt;Node(value=0, rank=0)</title>
<path fill="none" stroke="white" d="M188.19,-148.81C171,-137.67 145.38,-121.06 126.01,-108.5"/>
<polygon fill="transparent" stroke="white" points="127.89,-105.56 117.6,-103.05 124.08,-111.43 127.89,-105.56"/>
</g>
<!-- Node(value=2, rank=0) -->
<g id="node6" class="node">
<title>Node(value=2, rank=0)</title>
<ellipse fill="none" stroke="white" cx="207" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- Node(value=1, rank=1)&#45;&gt;Node(value=2, rank=0) -->
<g id="edge3" class="edge">
<title>Node(value=1, rank=1)&#45;&gt;Node(value=2, rank=0)</title>
<path fill="none" stroke="white" d="M207,-143.7C207,-135.98 207,-126.71 207,-118.11"/>
<polygon fill="transparent" stroke="white" points="210.5,-118.1 207,-108.1 203.5,-118.1 210.5,-118.1"/>
</g>
<!-- Node(value=4, rank=0) -->
<g id="node3" class="node">
<title>Node(value=4, rank=0)</title>
<ellipse fill="none" stroke="red" cx="351" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="351" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">4</text>
</g>
<!-- nil6 -->
<g id="node12" class="node">
<title>nil6</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=4, rank=0)&#45;&gt;nil6 -->
<g id="edge11" class="edge">
<title>Node(value=4, rank=0)&#45;&gt;nil6</title>
<path fill="none" stroke="white" d="M342.65,-72.76C338.29,-64.28 332.85,-53.71 327.96,-44.2"/>
<polygon fill="transparent" stroke="white" points="330.99,-42.44 323.3,-35.15 324.77,-45.64 330.99,-42.44"/>
</g>
<!-- nil7 -->
<g id="node13" class="node">
<title>nil7</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=4, rank=0)&#45;&gt;nil7 -->
<g id="edge12" class="edge">
<title>Node(value=4, rank=0)&#45;&gt;nil7</title>
<path fill="none" stroke="white" d="M359.35,-72.76C363.71,-64.28 369.15,-53.71 374.04,-44.2"/>
<polygon fill="transparent" stroke="white" points="377.23,-45.64 378.7,-35.15 371.01,-42.44 377.23,-45.64"/>
</g>
<!-- Node(value=7, rank=0) -->
<g id="node4" class="node">
<title>Node(value=7, rank=0)</title>
<ellipse fill="none" stroke="red" cx="459" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="459" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">7</text>
</g>
<!-- nil8 -->
<g id="node14" class="node">
<title>nil8</title>
<ellipse fill="none" stroke="transparent" cx="459" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=7, rank=0)&#45;&gt;nil8 -->
<g id="edge13" class="edge">
<title>Node(value=7, rank=0)&#45;&gt;nil8</title>
<path fill="none" stroke="white" d="M459,-71.7C459,-63.98 459,-54.71 459,-46.11"/>
<polygon fill="transparent" stroke="white" points="462.5,-46.1 459,-36.1 455.5,-46.1 462.5,-46.1"/>
</g>
<!-- nil9 -->
<g id="node15" class="node">
<title>nil9</title>
<ellipse fill="none" stroke="transparent" cx="531" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=7, rank=0)&#45;&gt;nil9 -->
<g id="edge14" class="edge">
<title>Node(value=7, rank=0)&#45;&gt;nil9</title>
<path fill="none" stroke="white" d="M473.57,-74.83C483.75,-64.94 497.52,-51.55 509.03,-40.36"/>
<polygon fill="transparent" stroke="white" points="511.47,-42.87 516.2,-33.38 506.59,-37.85 511.47,-42.87"/>
</g>
<!-- nil2 -->
<g id="node8" class="node">
<title>nil2</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=0, rank=0)&#45;&gt;nil2 -->
<g id="edge7" class="edge">
<title>Node(value=0, rank=0)&#45;&gt;nil2</title>
<path fill="none" stroke="white" d="M84.43,-74.83C74.25,-64.94 60.48,-51.55 48.97,-40.36"/>
<polygon fill="transparent" stroke="white" points="51.41,-37.85 41.8,-33.38 46.53,-42.87 51.41,-37.85"/>
</g>
<!-- nil3 -->
<g id="node9" class="node">
<title>nil3</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=0, rank=0)&#45;&gt;nil3 -->
<g id="edge8" class="edge">
<title>Node(value=0, rank=0)&#45;&gt;nil3</title>
<path fill="none" stroke="white" d="M99,-71.7C99,-63.98 99,-54.71 99,-46.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-46.1 99,-36.1 95.5,-46.1 102.5,-46.1"/>
</g>
<!-- nil4 -->
<g id="node10" class="node">
<title>nil4</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=2, rank=0)&#45;&gt;nil4 -->
<g id="edge9" class="edge">
<title>Node(value=2, rank=0)&#45;&gt;nil4</title>
<path fill="none" stroke="white" d="M198.65,-72.76C194.29,-64.28 188.85,-53.71 183.96,-44.2"/>
<polygon fill="transparent" stroke="white" points="186.99,-42.44 179.3,-35.15 180.77,-45.64 186.99,-42.44"/>
</g>
<!-- nil5 -->
<g id="node11" class="node">
<title>nil5</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=2, rank=0)&#45;&gt;nil5 -->
<g id="edge10" class="edge">
<title>Node(value=2, rank=0)&#45;&gt;nil5</title>
<path fill="none" stroke="white" d="M215.35,-72.76C219.71,-64.28 225.15,-53.71 230.04,-44.2"/>
<polygon fill="transparent" stroke="white" points="233.23,-45.64 234.7,-35.15 227.01,-42.44 233.23,-45.64"/>
</g>
<!-- Node(value=5, rank=1)&#45;&gt;Node(value=4, rank=0) -->
<g id="edge5" class="edge">
<title>Node(value=5, rank=1)&#45;&gt;Node(value=4, rank=0)</title>
<path fill="none" stroke="white" d="M351,-143.7C351,-135.98 351,-126.71 351,-118.11"/>
<polygon fill="transparent" stroke="white" points="354.5,-118.1 351,-108.1 347.5,-118.1 354.5,-118.1"/>
</g>
<!-- Node(value=5, rank=1)&#45;&gt;Node(value=7, rank=0) -->
<g id="edge6" class="edge">
<title>Node(value=5, rank=1)&#45;&gt;Node(value=7, rank=0)</title>
<path fill="none" stroke="red" d="M369.81,-148.81C387,-137.67 412.62,-121.06 431.99,-108.5"/>
<polygon fill="transparent" stroke="red" points="433.92,-111.43 440.4,-103.05 430.11,-105.56 433.92,-111.43"/>
</g>
</g>
</svg>
"},2815:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: %3 Pages: 1 -->
<svg width="566pt" height="260pt"
 viewBox="0.00 0.00 566.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>%3</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-256 562,-256 562,4 -4,4"/>
<!-- Node(value=3, rank=2) -->
<g id="node1" class="node">
<title>Node(value=3, rank=2)</title>
<ellipse fill="none" stroke="black" cx="279" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="279" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">3</text>
</g>
<!-- Node(value=1, rank=1) -->
<g id="node2" class="node">
<title>Node(value=1, rank=1)</title>
<ellipse fill="none" stroke="red" cx="207" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">1</text>
</g>
<!-- Node(value=3, rank=2)&#45;&gt;Node(value=1, rank=1) -->
<g id="edge1" class="edge">
<title>Node(value=3, rank=2)&#45;&gt;Node(value=1, rank=1)</title>
<path fill="none" stroke="black" d="M264.43,-218.83C254.25,-208.94 240.48,-195.55 228.97,-184.36"/>
<polygon fill="black" stroke="black" points="231.41,-181.85 221.8,-177.38 226.53,-186.87 231.41,-181.85"/>
</g>
<!-- Node(value=5, rank=1) -->
<g id="node7" class="node">
<title>Node(value=5, rank=1)</title>
<ellipse fill="none" stroke="black" cx="351" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="351" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- Node(value=3, rank=2)&#45;&gt;Node(value=5, rank=1) -->
<g id="edge4" class="edge">
<title>Node(value=3, rank=2)&#45;&gt;Node(value=5, rank=1)</title>
<path fill="none" stroke="black" d="M293.57,-218.83C303.75,-208.94 317.52,-195.55 329.03,-184.36"/>
<polygon fill="black" stroke="black" points="331.47,-186.87 336.2,-177.38 326.59,-181.85 331.47,-186.87"/>
</g>
<!-- Node(value=0, rank=0) -->
<g id="node5" class="node">
<title>Node(value=0, rank=0)</title>
<ellipse fill="none" stroke="black" cx="99" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">0</text>
</g>
<!-- Node(value=1, rank=1)&#45;&gt;Node(value=0, rank=0) -->
<g id="edge2" class="edge">
<title>Node(value=1, rank=1)&#45;&gt;Node(value=0, rank=0)</title>
<path fill="none" stroke="black" d="M188.19,-148.81C171,-137.67 145.38,-121.06 126.01,-108.5"/>
<polygon fill="black" stroke="black" points="127.89,-105.56 117.6,-103.05 124.08,-111.43 127.89,-105.56"/>
</g>
<!-- Node(value=2, rank=0) -->
<g id="node6" class="node">
<title>Node(value=2, rank=0)</title>
<ellipse fill="none" stroke="black" cx="207" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- Node(value=1, rank=1)&#45;&gt;Node(value=2, rank=0) -->
<g id="edge3" class="edge">
<title>Node(value=1, rank=1)&#45;&gt;Node(value=2, rank=0)</title>
<path fill="none" stroke="black" d="M207,-143.7C207,-135.98 207,-126.71 207,-118.11"/>
<polygon fill="black" stroke="black" points="210.5,-118.1 207,-108.1 203.5,-118.1 210.5,-118.1"/>
</g>
<!-- Node(value=4, rank=0) -->
<g id="node3" class="node">
<title>Node(value=4, rank=0)</title>
<ellipse fill="none" stroke="red" cx="351" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="351" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">4</text>
</g>
<!-- nil6 -->
<g id="node12" class="node">
<title>nil6</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=4, rank=0)&#45;&gt;nil6 -->
<g id="edge11" class="edge">
<title>Node(value=4, rank=0)&#45;&gt;nil6</title>
<path fill="none" stroke="black" d="M342.65,-72.76C338.29,-64.28 332.85,-53.71 327.96,-44.2"/>
<polygon fill="black" stroke="black" points="330.99,-42.44 323.3,-35.15 324.77,-45.64 330.99,-42.44"/>
</g>
<!-- nil7 -->
<g id="node13" class="node">
<title>nil7</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=4, rank=0)&#45;&gt;nil7 -->
<g id="edge12" class="edge">
<title>Node(value=4, rank=0)&#45;&gt;nil7</title>
<path fill="none" stroke="black" d="M359.35,-72.76C363.71,-64.28 369.15,-53.71 374.04,-44.2"/>
<polygon fill="black" stroke="black" points="377.23,-45.64 378.7,-35.15 371.01,-42.44 377.23,-45.64"/>
</g>
<!-- Node(value=7, rank=0) -->
<g id="node4" class="node">
<title>Node(value=7, rank=0)</title>
<ellipse fill="none" stroke="red" cx="459" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="459" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">7</text>
</g>
<!-- nil8 -->
<g id="node14" class="node">
<title>nil8</title>
<ellipse fill="none" stroke="transparent" cx="459" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=7, rank=0)&#45;&gt;nil8 -->
<g id="edge13" class="edge">
<title>Node(value=7, rank=0)&#45;&gt;nil8</title>
<path fill="none" stroke="black" d="M459,-71.7C459,-63.98 459,-54.71 459,-46.11"/>
<polygon fill="black" stroke="black" points="462.5,-46.1 459,-36.1 455.5,-46.1 462.5,-46.1"/>
</g>
<!-- nil9 -->
<g id="node15" class="node">
<title>nil9</title>
<ellipse fill="none" stroke="transparent" cx="531" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=7, rank=0)&#45;&gt;nil9 -->
<g id="edge14" class="edge">
<title>Node(value=7, rank=0)&#45;&gt;nil9</title>
<path fill="none" stroke="black" d="M473.57,-74.83C483.75,-64.94 497.52,-51.55 509.03,-40.36"/>
<polygon fill="black" stroke="black" points="511.47,-42.87 516.2,-33.38 506.59,-37.85 511.47,-42.87"/>
</g>
<!-- nil2 -->
<g id="node8" class="node">
<title>nil2</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=0, rank=0)&#45;&gt;nil2 -->
<g id="edge7" class="edge">
<title>Node(value=0, rank=0)&#45;&gt;nil2</title>
<path fill="none" stroke="black" d="M84.43,-74.83C74.25,-64.94 60.48,-51.55 48.97,-40.36"/>
<polygon fill="black" stroke="black" points="51.41,-37.85 41.8,-33.38 46.53,-42.87 51.41,-37.85"/>
</g>
<!-- nil3 -->
<g id="node9" class="node">
<title>nil3</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=0, rank=0)&#45;&gt;nil3 -->
<g id="edge8" class="edge">
<title>Node(value=0, rank=0)&#45;&gt;nil3</title>
<path fill="none" stroke="black" d="M99,-71.7C99,-63.98 99,-54.71 99,-46.11"/>
<polygon fill="black" stroke="black" points="102.5,-46.1 99,-36.1 95.5,-46.1 102.5,-46.1"/>
</g>
<!-- nil4 -->
<g id="node10" class="node">
<title>nil4</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=2, rank=0)&#45;&gt;nil4 -->
<g id="edge9" class="edge">
<title>Node(value=2, rank=0)&#45;&gt;nil4</title>
<path fill="none" stroke="black" d="M198.65,-72.76C194.29,-64.28 188.85,-53.71 183.96,-44.2"/>
<polygon fill="black" stroke="black" points="186.99,-42.44 179.3,-35.15 180.77,-45.64 186.99,-42.44"/>
</g>
<!-- nil5 -->
<g id="node11" class="node">
<title>nil5</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-18" rx="27" ry="18"/>
</g>
<!-- Node(value=2, rank=0)&#45;&gt;nil5 -->
<g id="edge10" class="edge">
<title>Node(value=2, rank=0)&#45;&gt;nil5</title>
<path fill="none" stroke="black" d="M215.35,-72.76C219.71,-64.28 225.15,-53.71 230.04,-44.2"/>
<polygon fill="black" stroke="black" points="233.23,-45.64 234.7,-35.15 227.01,-42.44 233.23,-45.64"/>
</g>
<!-- Node(value=5, rank=1)&#45;&gt;Node(value=4, rank=0) -->
<g id="edge5" class="edge">
<title>Node(value=5, rank=1)&#45;&gt;Node(value=4, rank=0)</title>
<path fill="none" stroke="black" d="M351,-143.7C351,-135.98 351,-126.71 351,-118.11"/>
<polygon fill="black" stroke="black" points="354.5,-118.1 351,-108.1 347.5,-118.1 354.5,-118.1"/>
</g>
<!-- Node(value=5, rank=1)&#45;&gt;Node(value=7, rank=0) -->
<g id="edge6" class="edge">
<title>Node(value=5, rank=1)&#45;&gt;Node(value=7, rank=0)</title>
<path fill="none" stroke="red" d="M369.81,-148.81C387,-137.67 412.62,-121.06 431.99,-108.5"/>
<polygon fill="red" stroke="red" points="433.92,-111.43 440.4,-103.05 430.11,-105.56 433.92,-111.43"/>
</g>
</g>
</svg>
"},9183:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/incorrect_dark-d9c04aed74f7d364c3c3b1855b769ab0.svg"},8800:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: %3 Pages: 1 -->
<svg width="602pt" height="332pt"
 viewBox="0.00 0.00 602.00 332.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 328)">
<title>%3</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-328 598,-328 598,4 -4,4"/>
<!-- Node(value=3, rank=2) -->
<g id="node1" class="node">
<title>Node(value=3, rank=2)</title>
<ellipse fill="none" stroke="black" cx="279" cy="-306" rx="27" ry="18"/>
<text text-anchor="middle" x="279" y="-302.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">3</text>
</g>
<!-- Node(value=1, rank=1) -->
<g id="node2" class="node">
<title>Node(value=1, rank=1)</title>
<ellipse fill="none" stroke="red" cx="225" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="225" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">1</text>
</g>
<!-- Node(value=3, rank=2)&#45;&gt;Node(value=1, rank=1) -->
<g id="edge1" class="edge">
<title>Node(value=3, rank=2)&#45;&gt;Node(value=1, rank=1)</title>
<path fill="none" stroke="black" d="M267.02,-289.46C260.02,-280.4 251.06,-268.79 243.21,-258.61"/>
<polygon fill="black" stroke="black" points="245.83,-256.27 236.95,-250.49 240.29,-260.55 245.83,-256.27"/>
</g>
<!-- Node(value=5, rank=1) -->
<g id="node7" class="node">
<title>Node(value=5, rank=1)</title>
<ellipse fill="none" stroke="black" cx="333" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="333" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- Node(value=3, rank=2)&#45;&gt;Node(value=5, rank=1) -->
<g id="edge4" class="edge">
<title>Node(value=3, rank=2)&#45;&gt;Node(value=5, rank=1)</title>
<path fill="none" stroke="black" d="M290.98,-289.46C297.98,-280.4 306.94,-268.79 314.79,-258.61"/>
<polygon fill="black" stroke="black" points="317.71,-260.55 321.05,-250.49 312.17,-256.27 317.71,-260.55"/>
</g>
<!-- Node(value=0, rank=0) -->
<g id="node5" class="node">
<title>Node(value=0, rank=0)</title>
<ellipse fill="none" stroke="black" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">0</text>
</g>
<!-- Node(value=1, rank=1)&#45;&gt;Node(value=0, rank=0) -->
<g id="edge2" class="edge">
<title>Node(value=1, rank=1)&#45;&gt;Node(value=0, rank=0)</title>
<path fill="none" stroke="black" d="M204.76,-221.75C184,-210.22 151.52,-192.18 128.02,-179.12"/>
<polygon fill="black" stroke="black" points="129.64,-176.02 119.19,-174.22 126.24,-182.13 129.64,-176.02"/>
</g>
<!-- Node(value=2, rank=0) -->
<g id="node6" class="node">
<title>Node(value=2, rank=0)</title>
<ellipse fill="none" stroke="black" cx="225" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="225" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- Node(value=1, rank=1)&#45;&gt;Node(value=2, rank=0) -->
<g id="edge3" class="edge">
<title>Node(value=1, rank=1)&#45;&gt;Node(value=2, rank=0)</title>
<path fill="none" stroke="black" d="M225,-215.7C225,-207.98 225,-198.71 225,-190.11"/>
<polygon fill="black" stroke="black" points="228.5,-190.1 225,-180.1 221.5,-190.1 228.5,-190.1"/>
</g>
<!-- Node(value=4, rank=0) -->
<g id="node3" class="node">
<title>Node(value=4, rank=0)</title>
<ellipse fill="none" stroke="red" cx="333" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="333" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">4</text>
</g>
<!-- nil6 -->
<g id="node12" class="node">
<title>nil6</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=4, rank=0)&#45;&gt;nil6 -->
<g id="edge11" class="edge">
<title>Node(value=4, rank=0)&#45;&gt;nil6</title>
<path fill="none" stroke="black" d="M328.64,-144.05C326.61,-136.14 324.14,-126.54 321.86,-117.69"/>
<polygon fill="black" stroke="black" points="325.2,-116.6 319.32,-107.79 318.42,-118.35 325.2,-116.6"/>
</g>
<!-- nil7 -->
<g id="node13" class="node">
<title>nil7</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=4, rank=0)&#45;&gt;nil7 -->
<g id="edge12" class="edge">
<title>Node(value=4, rank=0)&#45;&gt;nil7</title>
<path fill="none" stroke="black" d="M344.98,-145.46C351.98,-136.4 360.94,-124.79 368.79,-114.61"/>
<polygon fill="black" stroke="black" points="371.71,-116.55 375.05,-106.49 366.17,-112.27 371.71,-116.55"/>
</g>
<!-- Node(value=7, rank=0) -->
<g id="node4" class="node">
<title>Node(value=7, rank=0)</title>
<ellipse fill="none" stroke="red" cx="459" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="459" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">7</text>
</g>
<!-- nil8 -->
<g id="node14" class="node">
<title>nil8</title>
<ellipse fill="none" stroke="transparent" cx="459" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=7, rank=0)&#45;&gt;nil8 -->
<g id="edge13" class="edge">
<title>Node(value=7, rank=0)&#45;&gt;nil8</title>
<path fill="none" stroke="black" d="M459,-143.7C459,-135.98 459,-126.71 459,-118.11"/>
<polygon fill="black" stroke="black" points="462.5,-118.1 459,-108.1 455.5,-118.1 462.5,-118.1"/>
</g>
<!-- 8 -->
<g id="node17" class="node">
<title>8</title>
<ellipse fill="none" stroke="red" cx="531" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="531" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">8</text>
</g>
<!-- Node(value=7, rank=0)&#45;&gt;8 -->
<g id="edge14" class="edge">
<title>Node(value=7, rank=0)&#45;&gt;8</title>
<path fill="none" stroke="red" d="M473.57,-146.83C483.75,-136.94 497.52,-123.55 509.03,-112.36"/>
<polygon fill="red" stroke="red" points="511.47,-114.87 516.2,-105.38 506.59,-109.85 511.47,-114.87"/>
</g>
<!-- nil2 -->
<g id="node8" class="node">
<title>nil2</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=0, rank=0)&#45;&gt;nil2 -->
<g id="edge7" class="edge">
<title>Node(value=0, rank=0)&#45;&gt;nil2</title>
<path fill="none" stroke="black" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="black" stroke="black" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- nil3 -->
<g id="node9" class="node">
<title>nil3</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=0, rank=0)&#45;&gt;nil3 -->
<g id="edge8" class="edge">
<title>Node(value=0, rank=0)&#45;&gt;nil3</title>
<path fill="none" stroke="black" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="black" stroke="black" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- nil4 -->
<g id="node10" class="node">
<title>nil4</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=2, rank=0)&#45;&gt;nil4 -->
<g id="edge9" class="edge">
<title>Node(value=2, rank=0)&#45;&gt;nil4</title>
<path fill="none" stroke="black" d="M213.02,-145.46C206.02,-136.4 197.06,-124.79 189.21,-114.61"/>
<polygon fill="black" stroke="black" points="191.83,-112.27 182.95,-106.49 186.29,-116.55 191.83,-112.27"/>
</g>
<!-- nil5 -->
<g id="node11" class="node">
<title>nil5</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-90" rx="27" ry="18"/>
</g>
<!-- Node(value=2, rank=0)&#45;&gt;nil5 -->
<g id="edge10" class="edge">
<title>Node(value=2, rank=0)&#45;&gt;nil5</title>
<path fill="none" stroke="black" d="M229.36,-144.05C231.39,-136.14 233.86,-126.54 236.14,-117.69"/>
<polygon fill="black" stroke="black" points="239.58,-118.35 238.68,-107.79 232.8,-116.6 239.58,-118.35"/>
</g>
<!-- Node(value=5, rank=1)&#45;&gt;Node(value=4, rank=0) -->
<g id="edge5" class="edge">
<title>Node(value=5, rank=1)&#45;&gt;Node(value=4, rank=0)</title>
<path fill="none" stroke="black" d="M333,-215.7C333,-207.98 333,-198.71 333,-190.11"/>
<polygon fill="black" stroke="black" points="336.5,-190.1 333,-180.1 329.5,-190.1 336.5,-190.1"/>
</g>
<!-- Node(value=5, rank=1)&#45;&gt;Node(value=7, rank=0) -->
<g id="edge6" class="edge">
<title>Node(value=5, rank=1)&#45;&gt;Node(value=7, rank=0)</title>
<path fill="none" stroke="red" d="M353.24,-221.75C374,-210.22 406.48,-192.18 429.98,-179.12"/>
<polygon fill="red" stroke="red" points="431.76,-182.13 438.81,-174.22 428.36,-176.02 431.76,-182.13"/>
</g>
<!-- nil9 -->
<g id="node15" class="node">
<title>nil9</title>
<ellipse fill="none" stroke="transparent" cx="495" cy="-18" rx="27" ry="18"/>
</g>
<!-- nil10 -->
<g id="node16" class="node">
<title>nil10</title>
<ellipse fill="none" stroke="transparent" cx="567" cy="-18" rx="27" ry="18"/>
</g>
<!-- 8&#45;&gt;nil9 -->
<g id="edge15" class="edge">
<title>8&#45;&gt;nil9</title>
<path fill="none" stroke="black" d="M522.65,-72.76C518.29,-64.28 512.85,-53.71 507.96,-44.2"/>
<polygon fill="black" stroke="black" points="510.99,-42.44 503.3,-35.15 504.77,-45.64 510.99,-42.44"/>
</g>
<!-- 8&#45;&gt;nil10 -->
<g id="edge16" class="edge">
<title>8&#45;&gt;nil10</title>
<path fill="none" stroke="black" d="M539.35,-72.76C543.71,-64.28 549.15,-53.71 554.04,-44.2"/>
<polygon fill="black" stroke="black" points="557.23,-45.64 558.7,-35.15 551.01,-42.44 557.23,-45.64"/>
</g>
</g>
</svg>
"},4241:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},5018:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},9232:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},8491:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},3559:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},4485:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},9034:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},3037:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},4236:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="314pt" height="260pt"
 viewBox="0.00 0.00 314.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-256 310,-256 310,4 -4,4"/>
<!-- 140399805910672 -->
<g id="node1" class="node">
<title>140399805910672</title>
<ellipse fill="none" stroke="white" cx="135" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="135" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">9</text>
</g>
<!-- 140399804142928 -->
<g id="node2" class="node">
<title>140399804142928</title>
<ellipse fill="none" stroke="white" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- 140399805910672&#45;&gt;140399804142928 -->
<g id="edge1" class="edge">
<title>140399805910672&#45;&gt;140399804142928</title>
<path fill="none" stroke="white" d="M126.65,-216.76C122.29,-208.28 116.85,-197.71 111.96,-188.2"/>
<polygon fill="transparent" stroke="white" points="114.99,-186.44 107.3,-179.15 108.77,-189.64 114.99,-186.44"/>
</g>
<!-- 140399805603280 -->
<g id="node7" class="node">
<title>140399805603280</title>
<ellipse fill="none" stroke="white" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">12</text>
</g>
<!-- 140399805910672&#45;&gt;140399805603280 -->
<g id="edge6" class="edge">
<title>140399805910672&#45;&gt;140399805603280</title>
<path fill="none" stroke="white" d="M143.35,-216.76C147.71,-208.28 153.15,-197.71 158.04,-188.2"/>
<polygon fill="transparent" stroke="white" points="161.23,-189.64 162.7,-179.15 155.01,-186.44 161.23,-189.64"/>
</g>
<!-- 140399805700304 -->
<g id="node3" class="node">
<title>140399805700304</title>
<ellipse fill="none" stroke="red" cx="27" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="27" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- 140399804142928&#45;&gt;140399805700304 -->
<g id="edge2" class="edge">
<title>140399804142928&#45;&gt;140399805700304</title>
<path fill="none" stroke="red" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="transparent" stroke="red" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R140399804142928 -->
<g id="node6" class="node">
<title>R140399804142928</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399804142928&#45;&gt;R140399804142928 -->
<g id="edge5" class="edge">
<title>140399804142928&#45;&gt;R140399804142928</title>
<path fill="none" stroke="white" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- L140399805700304 -->
<g id="node4" class="node">
<title>L140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;L140399805700304 -->
<g id="edge3" class="edge">
<title>140399805700304&#45;&gt;L140399805700304</title>
<path fill="none" stroke="white" d="M27,-71.7C27,-63.98 27,-54.71 27,-46.11"/>
<polygon fill="transparent" stroke="white" points="30.5,-46.1 27,-36.1 23.5,-46.1 30.5,-46.1"/>
</g>
<!-- R140399805700304 -->
<g id="node5" class="node">
<title>R140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;R140399805700304 -->
<g id="edge4" class="edge">
<title>140399805700304&#45;&gt;R140399805700304</title>
<path fill="none" stroke="white" d="M41.57,-74.83C51.75,-64.94 65.52,-51.55 77.03,-40.36"/>
<polygon fill="transparent" stroke="white" points="79.47,-42.87 84.2,-33.38 74.59,-37.85 79.47,-42.87"/>
</g>
<!-- L140399805603280 -->
<g id="node8" class="node">
<title>L140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;L140399805603280 -->
<g id="edge7" class="edge">
<title>140399805603280&#45;&gt;L140399805603280</title>
<path fill="none" stroke="white" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="transparent" stroke="white" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- 140399805700368 -->
<g id="node9" class="node">
<title>140399805700368</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">18</text>
</g>
<!-- 140399805603280&#45;&gt;140399805700368 -->
<g id="edge8" class="edge">
<title>140399805603280&#45;&gt;140399805700368</title>
<path fill="none" stroke="red" d="M185.57,-146.83C195.75,-136.94 209.52,-123.55 221.03,-112.36"/>
<polygon fill="transparent" stroke="red" points="223.47,-114.87 228.2,-105.38 218.59,-109.85 223.47,-114.87"/>
</g>
<!-- L140399805700368 -->
<g id="node10" class="node">
<title>L140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;L140399805700368 -->
<g id="edge9" class="edge">
<title>140399805700368&#45;&gt;L140399805700368</title>
<path fill="none" stroke="white" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="transparent" stroke="white" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R140399805700368 -->
<g id="node11" class="node">
<title>R140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;R140399805700368 -->
<g id="edge10" class="edge">
<title>140399805700368&#45;&gt;R140399805700368</title>
<path fill="none" stroke="white" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="transparent" stroke="white" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
</g>
</svg>
"},4961:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="314pt" height="260pt"
 viewBox="0.00 0.00 314.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-256 310,-256 310,4 -4,4"/>
<!-- 140399805910672 -->
<g id="node1" class="node">
<title>140399805910672</title>
<ellipse fill="none" stroke="black" cx="135" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="135" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">9</text>
</g>
<!-- 140399804142928 -->
<g id="node2" class="node">
<title>140399804142928</title>
<ellipse fill="none" stroke="black" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- 140399805910672&#45;&gt;140399804142928 -->
<g id="edge1" class="edge">
<title>140399805910672&#45;&gt;140399804142928</title>
<path fill="none" stroke="black" d="M126.65,-216.76C122.29,-208.28 116.85,-197.71 111.96,-188.2"/>
<polygon fill="black" stroke="black" points="114.99,-186.44 107.3,-179.15 108.77,-189.64 114.99,-186.44"/>
</g>
<!-- 140399805603280 -->
<g id="node7" class="node">
<title>140399805603280</title>
<ellipse fill="none" stroke="black" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">12</text>
</g>
<!-- 140399805910672&#45;&gt;140399805603280 -->
<g id="edge6" class="edge">
<title>140399805910672&#45;&gt;140399805603280</title>
<path fill="none" stroke="black" d="M143.35,-216.76C147.71,-208.28 153.15,-197.71 158.04,-188.2"/>
<polygon fill="black" stroke="black" points="161.23,-189.64 162.7,-179.15 155.01,-186.44 161.23,-189.64"/>
</g>
<!-- 140399805700304 -->
<g id="node3" class="node">
<title>140399805700304</title>
<ellipse fill="none" stroke="red" cx="27" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="27" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- 140399804142928&#45;&gt;140399805700304 -->
<g id="edge2" class="edge">
<title>140399804142928&#45;&gt;140399805700304</title>
<path fill="none" stroke="red" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="red" stroke="red" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R140399804142928 -->
<g id="node6" class="node">
<title>R140399804142928</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399804142928&#45;&gt;R140399804142928 -->
<g id="edge5" class="edge">
<title>140399804142928&#45;&gt;R140399804142928</title>
<path fill="none" stroke="black" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="black" stroke="black" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- L140399805700304 -->
<g id="node4" class="node">
<title>L140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;L140399805700304 -->
<g id="edge3" class="edge">
<title>140399805700304&#45;&gt;L140399805700304</title>
<path fill="none" stroke="black" d="M27,-71.7C27,-63.98 27,-54.71 27,-46.11"/>
<polygon fill="black" stroke="black" points="30.5,-46.1 27,-36.1 23.5,-46.1 30.5,-46.1"/>
</g>
<!-- R140399805700304 -->
<g id="node5" class="node">
<title>R140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;R140399805700304 -->
<g id="edge4" class="edge">
<title>140399805700304&#45;&gt;R140399805700304</title>
<path fill="none" stroke="black" d="M41.57,-74.83C51.75,-64.94 65.52,-51.55 77.03,-40.36"/>
<polygon fill="black" stroke="black" points="79.47,-42.87 84.2,-33.38 74.59,-37.85 79.47,-42.87"/>
</g>
<!-- L140399805603280 -->
<g id="node8" class="node">
<title>L140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;L140399805603280 -->
<g id="edge7" class="edge">
<title>140399805603280&#45;&gt;L140399805603280</title>
<path fill="none" stroke="black" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="black" stroke="black" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- 140399805700368 -->
<g id="node9" class="node">
<title>140399805700368</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">18</text>
</g>
<!-- 140399805603280&#45;&gt;140399805700368 -->
<g id="edge8" class="edge">
<title>140399805603280&#45;&gt;140399805700368</title>
<path fill="none" stroke="red" d="M185.57,-146.83C195.75,-136.94 209.52,-123.55 221.03,-112.36"/>
<polygon fill="red" stroke="red" points="223.47,-114.87 228.2,-105.38 218.59,-109.85 223.47,-114.87"/>
</g>
<!-- L140399805700368 -->
<g id="node10" class="node">
<title>L140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;L140399805700368 -->
<g id="edge9" class="edge">
<title>140399805700368&#45;&gt;L140399805700368</title>
<path fill="none" stroke="black" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="black" stroke="black" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R140399805700368 -->
<g id="node11" class="node">
<title>R140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;R140399805700368 -->
<g id="edge10" class="edge">
<title>140399805700368&#45;&gt;R140399805700368</title>
<path fill="none" stroke="black" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="black" stroke="black" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
</g>
</svg>
"},376:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="260pt"
 viewBox="0.00 0.00 422.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-256 418,-256 418,4 -4,4"/>
<!-- 140399805910672 -->
<g id="node1" class="node">
<title>140399805910672</title>
<ellipse fill="none" stroke="white" cx="207" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">9</text>
</g>
<!-- 140399804142928 -->
<g id="node2" class="node">
<title>140399804142928</title>
<ellipse fill="none" stroke="white" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- 140399805910672&#45;&gt;140399804142928 -->
<g id="edge1" class="edge">
<title>140399805910672&#45;&gt;140399804142928</title>
<path fill="none" stroke="white" d="M198.65,-216.76C194.29,-208.28 188.85,-197.71 183.96,-188.2"/>
<polygon fill="transparent" stroke="white" points="186.99,-186.44 179.3,-179.15 180.77,-189.64 186.99,-186.44"/>
</g>
<!-- 140399805605392 -->
<g id="node7" class="node">
<title>140399805605392</title>
<ellipse fill="none" stroke="white" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">15</text>
</g>
<!-- 140399805910672&#45;&gt;140399805605392 -->
<g id="edge6" class="edge">
<title>140399805910672&#45;&gt;140399805605392</title>
<path fill="none" stroke="white" d="M215.35,-216.76C219.71,-208.28 225.15,-197.71 230.04,-188.2"/>
<polygon fill="transparent" stroke="white" points="233.23,-189.64 234.7,-179.15 227.01,-186.44 233.23,-189.64"/>
</g>
<!-- 140399805700304 -->
<g id="node3" class="node">
<title>140399805700304</title>
<ellipse fill="none" stroke="red" cx="99" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- 140399804142928&#45;&gt;140399805700304 -->
<g id="edge2" class="edge">
<title>140399804142928&#45;&gt;140399805700304</title>
<path fill="none" stroke="red" d="M156.43,-146.83C146.25,-136.94 132.48,-123.55 120.97,-112.36"/>
<polygon fill="transparent" stroke="red" points="123.41,-109.85 113.8,-105.38 118.53,-114.87 123.41,-109.85"/>
</g>
<!-- R140399804142928 -->
<g id="node6" class="node">
<title>R140399804142928</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399804142928&#45;&gt;R140399804142928 -->
<g id="edge5" class="edge">
<title>140399804142928&#45;&gt;R140399804142928</title>
<path fill="none" stroke="white" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="transparent" stroke="white" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- L140399805700304 -->
<g id="node4" class="node">
<title>L140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;L140399805700304 -->
<g id="edge3" class="edge">
<title>140399805700304&#45;&gt;L140399805700304</title>
<path fill="none" stroke="white" d="M84.43,-74.83C74.25,-64.94 60.48,-51.55 48.97,-40.36"/>
<polygon fill="transparent" stroke="white" points="51.41,-37.85 41.8,-33.38 46.53,-42.87 51.41,-37.85"/>
</g>
<!-- R140399805700304 -->
<g id="node5" class="node">
<title>R140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;R140399805700304 -->
<g id="edge4" class="edge">
<title>140399805700304&#45;&gt;R140399805700304</title>
<path fill="none" stroke="white" d="M99,-71.7C99,-63.98 99,-54.71 99,-46.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-46.1 99,-36.1 95.5,-46.1 102.5,-46.1"/>
</g>
<!-- 140399805603280 -->
<g id="node8" class="node">
<title>140399805603280</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">12</text>
</g>
<!-- 140399805605392&#45;&gt;140399805603280 -->
<g id="edge7" class="edge">
<title>140399805605392&#45;&gt;140399805603280</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="transparent" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- 140399805700368 -->
<g id="node11" class="node">
<title>140399805700368</title>
<ellipse fill="none" stroke="red" cx="315" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">18</text>
</g>
<!-- 140399805605392&#45;&gt;140399805700368 -->
<g id="edge10" class="edge">
<title>140399805605392&#45;&gt;140399805700368</title>
<path fill="none" stroke="red" d="M257.57,-146.83C267.75,-136.94 281.52,-123.55 293.03,-112.36"/>
<polygon fill="transparent" stroke="red" points="295.47,-114.87 300.2,-105.38 290.59,-109.85 295.47,-114.87"/>
</g>
<!-- L140399805603280 -->
<g id="node9" class="node">
<title>L140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;L140399805603280 -->
<g id="edge8" class="edge">
<title>140399805603280&#45;&gt;L140399805603280</title>
<path fill="none" stroke="white" d="M228.43,-74.83C218.25,-64.94 204.48,-51.55 192.97,-40.36"/>
<polygon fill="transparent" stroke="white" points="195.41,-37.85 185.8,-33.38 190.53,-42.87 195.41,-37.85"/>
</g>
<!-- R140399805603280 -->
<g id="node10" class="node">
<title>R140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;R140399805603280 -->
<g id="edge9" class="edge">
<title>140399805603280&#45;&gt;R140399805603280</title>
<path fill="none" stroke="white" d="M243,-71.7C243,-63.98 243,-54.71 243,-46.11"/>
<polygon fill="transparent" stroke="white" points="246.5,-46.1 243,-36.1 239.5,-46.1 246.5,-46.1"/>
</g>
<!-- L140399805700368 -->
<g id="node12" class="node">
<title>L140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;L140399805700368 -->
<g id="edge11" class="edge">
<title>140399805700368&#45;&gt;L140399805700368</title>
<path fill="none" stroke="white" d="M315,-71.7C315,-63.98 315,-54.71 315,-46.11"/>
<polygon fill="transparent" stroke="white" points="318.5,-46.1 315,-36.1 311.5,-46.1 318.5,-46.1"/>
</g>
<!-- R140399805700368 -->
<g id="node13" class="node">
<title>R140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;R140399805700368 -->
<g id="edge12" class="edge">
<title>140399805700368&#45;&gt;R140399805700368</title>
<path fill="none" stroke="white" d="M329.57,-74.83C339.75,-64.94 353.52,-51.55 365.03,-40.36"/>
<polygon fill="transparent" stroke="white" points="367.47,-42.87 372.2,-33.38 362.59,-37.85 367.47,-42.87"/>
</g>
</g>
</svg>
"},6061:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="260pt"
 viewBox="0.00 0.00 422.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-256 418,-256 418,4 -4,4"/>
<!-- 140399805910672 -->
<g id="node1" class="node">
<title>140399805910672</title>
<ellipse fill="none" stroke="black" cx="207" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">9</text>
</g>
<!-- 140399804142928 -->
<g id="node2" class="node">
<title>140399804142928</title>
<ellipse fill="none" stroke="black" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- 140399805910672&#45;&gt;140399804142928 -->
<g id="edge1" class="edge">
<title>140399805910672&#45;&gt;140399804142928</title>
<path fill="none" stroke="black" d="M198.65,-216.76C194.29,-208.28 188.85,-197.71 183.96,-188.2"/>
<polygon fill="black" stroke="black" points="186.99,-186.44 179.3,-179.15 180.77,-189.64 186.99,-186.44"/>
</g>
<!-- 140399805605392 -->
<g id="node7" class="node">
<title>140399805605392</title>
<ellipse fill="none" stroke="black" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">15</text>
</g>
<!-- 140399805910672&#45;&gt;140399805605392 -->
<g id="edge6" class="edge">
<title>140399805910672&#45;&gt;140399805605392</title>
<path fill="none" stroke="black" d="M215.35,-216.76C219.71,-208.28 225.15,-197.71 230.04,-188.2"/>
<polygon fill="black" stroke="black" points="233.23,-189.64 234.7,-179.15 227.01,-186.44 233.23,-189.64"/>
</g>
<!-- 140399805700304 -->
<g id="node3" class="node">
<title>140399805700304</title>
<ellipse fill="none" stroke="red" cx="99" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- 140399804142928&#45;&gt;140399805700304 -->
<g id="edge2" class="edge">
<title>140399804142928&#45;&gt;140399805700304</title>
<path fill="none" stroke="red" d="M156.43,-146.83C146.25,-136.94 132.48,-123.55 120.97,-112.36"/>
<polygon fill="red" stroke="red" points="123.41,-109.85 113.8,-105.38 118.53,-114.87 123.41,-109.85"/>
</g>
<!-- R140399804142928 -->
<g id="node6" class="node">
<title>R140399804142928</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399804142928&#45;&gt;R140399804142928 -->
<g id="edge5" class="edge">
<title>140399804142928&#45;&gt;R140399804142928</title>
<path fill="none" stroke="black" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="black" stroke="black" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- L140399805700304 -->
<g id="node4" class="node">
<title>L140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;L140399805700304 -->
<g id="edge3" class="edge">
<title>140399805700304&#45;&gt;L140399805700304</title>
<path fill="none" stroke="black" d="M84.43,-74.83C74.25,-64.94 60.48,-51.55 48.97,-40.36"/>
<polygon fill="black" stroke="black" points="51.41,-37.85 41.8,-33.38 46.53,-42.87 51.41,-37.85"/>
</g>
<!-- R140399805700304 -->
<g id="node5" class="node">
<title>R140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;R140399805700304 -->
<g id="edge4" class="edge">
<title>140399805700304&#45;&gt;R140399805700304</title>
<path fill="none" stroke="black" d="M99,-71.7C99,-63.98 99,-54.71 99,-46.11"/>
<polygon fill="black" stroke="black" points="102.5,-46.1 99,-36.1 95.5,-46.1 102.5,-46.1"/>
</g>
<!-- 140399805603280 -->
<g id="node8" class="node">
<title>140399805603280</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">12</text>
</g>
<!-- 140399805605392&#45;&gt;140399805603280 -->
<g id="edge7" class="edge">
<title>140399805605392&#45;&gt;140399805603280</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="red" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- 140399805700368 -->
<g id="node11" class="node">
<title>140399805700368</title>
<ellipse fill="none" stroke="red" cx="315" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">18</text>
</g>
<!-- 140399805605392&#45;&gt;140399805700368 -->
<g id="edge10" class="edge">
<title>140399805605392&#45;&gt;140399805700368</title>
<path fill="none" stroke="red" d="M257.57,-146.83C267.75,-136.94 281.52,-123.55 293.03,-112.36"/>
<polygon fill="red" stroke="red" points="295.47,-114.87 300.2,-105.38 290.59,-109.85 295.47,-114.87"/>
</g>
<!-- L140399805603280 -->
<g id="node9" class="node">
<title>L140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;L140399805603280 -->
<g id="edge8" class="edge">
<title>140399805603280&#45;&gt;L140399805603280</title>
<path fill="none" stroke="black" d="M228.43,-74.83C218.25,-64.94 204.48,-51.55 192.97,-40.36"/>
<polygon fill="black" stroke="black" points="195.41,-37.85 185.8,-33.38 190.53,-42.87 195.41,-37.85"/>
</g>
<!-- R140399805603280 -->
<g id="node10" class="node">
<title>R140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;R140399805603280 -->
<g id="edge9" class="edge">
<title>140399805603280&#45;&gt;R140399805603280</title>
<path fill="none" stroke="black" d="M243,-71.7C243,-63.98 243,-54.71 243,-46.11"/>
<polygon fill="black" stroke="black" points="246.5,-46.1 243,-36.1 239.5,-46.1 246.5,-46.1"/>
</g>
<!-- L140399805700368 -->
<g id="node12" class="node">
<title>L140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;L140399805700368 -->
<g id="edge11" class="edge">
<title>140399805700368&#45;&gt;L140399805700368</title>
<path fill="none" stroke="black" d="M315,-71.7C315,-63.98 315,-54.71 315,-46.11"/>
<polygon fill="black" stroke="black" points="318.5,-46.1 315,-36.1 311.5,-46.1 318.5,-46.1"/>
</g>
<!-- R140399805700368 -->
<g id="node13" class="node">
<title>R140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;R140399805700368 -->
<g id="edge12" class="edge">
<title>140399805700368&#45;&gt;R140399805700368</title>
<path fill="none" stroke="black" d="M329.57,-74.83C339.75,-64.94 353.52,-51.55 365.03,-40.36"/>
<polygon fill="black" stroke="black" points="367.47,-42.87 372.2,-33.38 362.59,-37.85 367.47,-42.87"/>
</g>
</g>
</svg>
"},9010:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="332pt"
 viewBox="0.00 0.00 422.00 332.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 328)">
<title>RBTree</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-328 418,-328 418,4 -4,4"/>
<!-- 140399805910672 -->
<g id="node1" class="node">
<title>140399805910672</title>
<ellipse fill="none" stroke="white" cx="207" cy="-306" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-302.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">9</text>
</g>
<!-- 140399804142928 -->
<g id="node2" class="node">
<title>140399804142928</title>
<ellipse fill="none" stroke="white" cx="171" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- 140399805910672&#45;&gt;140399804142928 -->
<g id="edge1" class="edge">
<title>140399805910672&#45;&gt;140399804142928</title>
<path fill="none" stroke="white" d="M198.65,-288.76C194.29,-280.28 188.85,-269.71 183.96,-260.2"/>
<polygon fill="transparent" stroke="white" points="186.99,-258.44 179.3,-251.15 180.77,-261.64 186.99,-258.44"/>
</g>
<!-- 140399805605392 -->
<g id="node7" class="node">
<title>140399805605392</title>
<ellipse fill="none" stroke="red" cx="243" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">15</text>
</g>
<!-- 140399805910672&#45;&gt;140399805605392 -->
<g id="edge6" class="edge">
<title>140399805910672&#45;&gt;140399805605392</title>
<path fill="none" stroke="red" d="M215.35,-288.76C219.71,-280.28 225.15,-269.71 230.04,-260.2"/>
<polygon fill="transparent" stroke="red" points="233.23,-261.64 234.7,-251.15 227.01,-258.44 233.23,-261.64"/>
</g>
<!-- 140399805700304 -->
<g id="node3" class="node">
<title>140399805700304</title>
<ellipse fill="none" stroke="red" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- 140399804142928&#45;&gt;140399805700304 -->
<g id="edge2" class="edge">
<title>140399804142928&#45;&gt;140399805700304</title>
<path fill="none" stroke="red" d="M156.43,-218.83C146.25,-208.94 132.48,-195.55 120.97,-184.36"/>
<polygon fill="transparent" stroke="red" points="123.41,-181.85 113.8,-177.38 118.53,-186.87 123.41,-181.85"/>
</g>
<!-- R140399804142928 -->
<g id="node6" class="node">
<title>R140399804142928</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-162" rx="27" ry="18"/>
</g>
<!-- 140399804142928&#45;&gt;R140399804142928 -->
<g id="edge5" class="edge">
<title>140399804142928&#45;&gt;R140399804142928</title>
<path fill="none" stroke="white" d="M171,-215.7C171,-207.98 171,-198.71 171,-190.11"/>
<polygon fill="transparent" stroke="white" points="174.5,-190.1 171,-180.1 167.5,-190.1 174.5,-190.1"/>
</g>
<!-- L140399805700304 -->
<g id="node4" class="node">
<title>L140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;L140399805700304 -->
<g id="edge3" class="edge">
<title>140399805700304&#45;&gt;L140399805700304</title>
<path fill="none" stroke="white" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="transparent" stroke="white" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R140399805700304 -->
<g id="node5" class="node">
<title>R140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;R140399805700304 -->
<g id="edge4" class="edge">
<title>140399805700304&#45;&gt;R140399805700304</title>
<path fill="none" stroke="white" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- 140399805603280 -->
<g id="node8" class="node">
<title>140399805603280</title>
<ellipse fill="none" stroke="white" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">12</text>
</g>
<!-- 140399805605392&#45;&gt;140399805603280 -->
<g id="edge7" class="edge">
<title>140399805605392&#45;&gt;140399805603280</title>
<path fill="none" stroke="white" d="M243,-215.7C243,-207.98 243,-198.71 243,-190.11"/>
<polygon fill="transparent" stroke="white" points="246.5,-190.1 243,-180.1 239.5,-190.1 246.5,-190.1"/>
</g>
<!-- 140399805700368 -->
<g id="node13" class="node">
<title>140399805700368</title>
<ellipse fill="none" stroke="white" cx="315" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">18</text>
</g>
<!-- 140399805605392&#45;&gt;140399805700368 -->
<g id="edge12" class="edge">
<title>140399805605392&#45;&gt;140399805700368</title>
<path fill="none" stroke="white" d="M257.57,-218.83C267.75,-208.94 281.52,-195.55 293.03,-184.36"/>
<polygon fill="transparent" stroke="white" points="295.47,-186.87 300.2,-177.38 290.59,-181.85 295.47,-186.87"/>
</g>
<!-- L140399805603280 -->
<g id="node9" class="node">
<title>L140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;L140399805603280 -->
<g id="edge8" class="edge">
<title>140399805603280&#45;&gt;L140399805603280</title>
<path fill="none" stroke="white" d="M228.43,-146.83C218.25,-136.94 204.48,-123.55 192.97,-112.36"/>
<polygon fill="transparent" stroke="white" points="195.41,-109.85 185.8,-105.38 190.53,-114.87 195.41,-109.85"/>
</g>
<!-- 140399805605456 -->
<g id="node10" class="node">
<title>140399805605456</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">13</text>
</g>
<!-- 140399805603280&#45;&gt;140399805605456 -->
<g id="edge9" class="edge">
<title>140399805603280&#45;&gt;140399805605456</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="transparent" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- L140399805605456 -->
<g id="node11" class="node">
<title>L140399805605456</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805605456&#45;&gt;L140399805605456 -->
<g id="edge10" class="edge">
<title>140399805605456&#45;&gt;L140399805605456</title>
<path fill="none" stroke="white" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="transparent" stroke="white" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R140399805605456 -->
<g id="node12" class="node">
<title>R140399805605456</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805605456&#45;&gt;R140399805605456 -->
<g id="edge11" class="edge">
<title>140399805605456&#45;&gt;R140399805605456</title>
<path fill="none" stroke="white" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="transparent" stroke="white" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
<!-- L140399805700368 -->
<g id="node14" class="node">
<title>L140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;L140399805700368 -->
<g id="edge13" class="edge">
<title>140399805700368&#45;&gt;L140399805700368</title>
<path fill="none" stroke="white" d="M315,-143.7C315,-135.98 315,-126.71 315,-118.11"/>
<polygon fill="transparent" stroke="white" points="318.5,-118.1 315,-108.1 311.5,-118.1 318.5,-118.1"/>
</g>
<!-- R140399805700368 -->
<g id="node15" class="node">
<title>R140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;R140399805700368 -->
<g id="edge14" class="edge">
<title>140399805700368&#45;&gt;R140399805700368</title>
<path fill="none" stroke="white" d="M329.57,-146.83C339.75,-136.94 353.52,-123.55 365.03,-112.36"/>
<polygon fill="transparent" stroke="white" points="367.47,-114.87 372.2,-105.38 362.59,-109.85 367.47,-114.87"/>
</g>
</g>
</svg>
"},7115:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="332pt"
 viewBox="0.00 0.00 422.00 332.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 328)">
<title>RBTree</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-328 418,-328 418,4 -4,4"/>
<!-- 140399805910672 -->
<g id="node1" class="node">
<title>140399805910672</title>
<ellipse fill="none" stroke="black" cx="207" cy="-306" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-302.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">9</text>
</g>
<!-- 140399804142928 -->
<g id="node2" class="node">
<title>140399804142928</title>
<ellipse fill="none" stroke="black" cx="171" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- 140399805910672&#45;&gt;140399804142928 -->
<g id="edge1" class="edge">
<title>140399805910672&#45;&gt;140399804142928</title>
<path fill="none" stroke="black" d="M198.65,-288.76C194.29,-280.28 188.85,-269.71 183.96,-260.2"/>
<polygon fill="black" stroke="black" points="186.99,-258.44 179.3,-251.15 180.77,-261.64 186.99,-258.44"/>
</g>
<!-- 140399805605392 -->
<g id="node7" class="node">
<title>140399805605392</title>
<ellipse fill="none" stroke="red" cx="243" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">15</text>
</g>
<!-- 140399805910672&#45;&gt;140399805605392 -->
<g id="edge6" class="edge">
<title>140399805910672&#45;&gt;140399805605392</title>
<path fill="none" stroke="red" d="M215.35,-288.76C219.71,-280.28 225.15,-269.71 230.04,-260.2"/>
<polygon fill="red" stroke="red" points="233.23,-261.64 234.7,-251.15 227.01,-258.44 233.23,-261.64"/>
</g>
<!-- 140399805700304 -->
<g id="node3" class="node">
<title>140399805700304</title>
<ellipse fill="none" stroke="red" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- 140399804142928&#45;&gt;140399805700304 -->
<g id="edge2" class="edge">
<title>140399804142928&#45;&gt;140399805700304</title>
<path fill="none" stroke="red" d="M156.43,-218.83C146.25,-208.94 132.48,-195.55 120.97,-184.36"/>
<polygon fill="red" stroke="red" points="123.41,-181.85 113.8,-177.38 118.53,-186.87 123.41,-181.85"/>
</g>
<!-- R140399804142928 -->
<g id="node6" class="node">
<title>R140399804142928</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-162" rx="27" ry="18"/>
</g>
<!-- 140399804142928&#45;&gt;R140399804142928 -->
<g id="edge5" class="edge">
<title>140399804142928&#45;&gt;R140399804142928</title>
<path fill="none" stroke="black" d="M171,-215.7C171,-207.98 171,-198.71 171,-190.11"/>
<polygon fill="black" stroke="black" points="174.5,-190.1 171,-180.1 167.5,-190.1 174.5,-190.1"/>
</g>
<!-- L140399805700304 -->
<g id="node4" class="node">
<title>L140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;L140399805700304 -->
<g id="edge3" class="edge">
<title>140399805700304&#45;&gt;L140399805700304</title>
<path fill="none" stroke="black" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="black" stroke="black" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R140399805700304 -->
<g id="node5" class="node">
<title>R140399805700304</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700304&#45;&gt;R140399805700304 -->
<g id="edge4" class="edge">
<title>140399805700304&#45;&gt;R140399805700304</title>
<path fill="none" stroke="black" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="black" stroke="black" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- 140399805603280 -->
<g id="node8" class="node">
<title>140399805603280</title>
<ellipse fill="none" stroke="black" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">12</text>
</g>
<!-- 140399805605392&#45;&gt;140399805603280 -->
<g id="edge7" class="edge">
<title>140399805605392&#45;&gt;140399805603280</title>
<path fill="none" stroke="black" d="M243,-215.7C243,-207.98 243,-198.71 243,-190.11"/>
<polygon fill="black" stroke="black" points="246.5,-190.1 243,-180.1 239.5,-190.1 246.5,-190.1"/>
</g>
<!-- 140399805700368 -->
<g id="node13" class="node">
<title>140399805700368</title>
<ellipse fill="none" stroke="black" cx="315" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">18</text>
</g>
<!-- 140399805605392&#45;&gt;140399805700368 -->
<g id="edge12" class="edge">
<title>140399805605392&#45;&gt;140399805700368</title>
<path fill="none" stroke="black" d="M257.57,-218.83C267.75,-208.94 281.52,-195.55 293.03,-184.36"/>
<polygon fill="black" stroke="black" points="295.47,-186.87 300.2,-177.38 290.59,-181.85 295.47,-186.87"/>
</g>
<!-- L140399805603280 -->
<g id="node9" class="node">
<title>L140399805603280</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805603280&#45;&gt;L140399805603280 -->
<g id="edge8" class="edge">
<title>140399805603280&#45;&gt;L140399805603280</title>
<path fill="none" stroke="black" d="M228.43,-146.83C218.25,-136.94 204.48,-123.55 192.97,-112.36"/>
<polygon fill="black" stroke="black" points="195.41,-109.85 185.8,-105.38 190.53,-114.87 195.41,-109.85"/>
</g>
<!-- 140399805605456 -->
<g id="node10" class="node">
<title>140399805605456</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">13</text>
</g>
<!-- 140399805603280&#45;&gt;140399805605456 -->
<g id="edge9" class="edge">
<title>140399805603280&#45;&gt;140399805605456</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="red" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- L140399805605456 -->
<g id="node11" class="node">
<title>L140399805605456</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805605456&#45;&gt;L140399805605456 -->
<g id="edge10" class="edge">
<title>140399805605456&#45;&gt;L140399805605456</title>
<path fill="none" stroke="black" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="black" stroke="black" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R140399805605456 -->
<g id="node12" class="node">
<title>R140399805605456</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 140399805605456&#45;&gt;R140399805605456 -->
<g id="edge11" class="edge">
<title>140399805605456&#45;&gt;R140399805605456</title>
<path fill="none" stroke="black" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="black" stroke="black" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
<!-- L140399805700368 -->
<g id="node14" class="node">
<title>L140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;L140399805700368 -->
<g id="edge13" class="edge">
<title>140399805700368&#45;&gt;L140399805700368</title>
<path fill="none" stroke="black" d="M315,-143.7C315,-135.98 315,-126.71 315,-118.11"/>
<polygon fill="black" stroke="black" points="318.5,-118.1 315,-108.1 311.5,-118.1 318.5,-118.1"/>
</g>
<!-- R140399805700368 -->
<g id="node15" class="node">
<title>R140399805700368</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-90" rx="27" ry="18"/>
</g>
<!-- 140399805700368&#45;&gt;R140399805700368 -->
<g id="edge14" class="edge">
<title>140399805700368&#45;&gt;R140399805700368</title>
<path fill="none" stroke="black" d="M329.57,-146.83C339.75,-136.94 353.52,-123.55 365.03,-112.36"/>
<polygon fill="black" stroke="black" points="367.47,-114.87 372.2,-105.38 362.59,-109.85 367.47,-114.87"/>
</g>
</g>
</svg>
"},2399:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/br_7_dark-48445480725921bc67664cac9f225476.svg"},7239:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/br_7_light-e3494c1dc9b1d352580427c76be40a01.svg"},2705:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/br_8_dark-e63a22ae61187d5745542c84a04ded26.svg"},1461:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/br_8_light-10d25c55c1838a408ab5dad21a9da058.svg"},3591:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},2227:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},7690:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},6805:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},9861:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},7676:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiIHN0YW5kYWxvbmU9Im5vIj8+CjwhRE9DVFlQRSBzdmcgUFVCTElDICItLy9XM0MvL0RURCBTVkcgMS4xLy9FTiIKICJodHRwOi8vd3d3LnczLm9yZy9HcmFwaGljcy9TVkcvMS4xL0RURC9zdmcxMS5kdGQiPgo8IS0tIEdlbmVyYXRlZCBieSBncmFwaHZpeiB2ZXJzaW9uIDIuNDMuMCAoMCkKIC0tPgo8IS0tIFRpdGxlOiBSQlRyZWUgUGFnZXM6IDEgLS0+Cjxzdmcgd2lkdGg9IjI3OHB0IiBoZWlnaHQ9IjE4OHB0Igogdmlld0JveD0iMC4wMCAwLjAwIDI3OC4wMCAxODguMDAiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgeG1sbnM6eGxpbms9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkveGxpbmsiPgo8ZyBpZD0iZ3JhcGgwIiBjbGFzcz0iZ3JhcGgiIHRyYW5zZm9ybT0ic2NhbGUoMSAxKSByb3RhdGUoMCkgdHJhbnNsYXRlKDQgMTg0KSI+Cjx0aXRsZT5SQlRyZWU8L3RpdGxlPgo8cG9seWdvbiBmaWxsPSJ3aGl0ZSIgc3Ryb2tlPSJ0cmFuc3BhcmVudCIgcG9pbnRzPSItNCw0IC00LC0xODQgMjc0LC0xODQgMjc0LDQgLTQsNCIvPgo8IS0tIDEzOTY2MDQzNDI0NzM3NiAtLT4KPGcgaWQ9Im5vZGUxIiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT4xMzk2NjA0MzQyNDczNzY8L3RpdGxlPgo8ZWxsaXBzZSBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBjeD0iMTM1IiBjeT0iLTE2MiIgcng9IjI3IiByeT0iMTgiLz4KPHRleHQgdGV4dC1hbmNob3I9Im1pZGRsZSIgeD0iMTM1IiB5PSItMTU4LjMiIGZvbnQtZmFtaWx5PSInQ2FzY2FkaWEgQ29kZSBQTCcsICdKZXRCcmFpbnMgTW9ubycsICdJb3NldmthJywgJ0ZpcmEgQ29kZScsICdIYWNrJywgbW9ub3NwYWNlIiBmb250LXNpemU9IjE0LjAwIj45PC90ZXh0Pgo8L2c+CjwhLS0gMTM5NjYwNDM2MDk4MTI4IC0tPgo8ZyBpZD0ibm9kZTIiIGNsYXNzPSJub2RlIj4KPHRpdGxlPjEzOTY2MDQzNjA5ODEyODwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0icmVkIiBjeD0iOTkiIGN5PSItOTAiIHJ4PSIyNyIgcnk9IjE4Ii8+Cjx0ZXh0IHRleHQtYW5jaG9yPSJtaWRkbGUiIHg9Ijk5IiB5PSItODYuMyIgZm9udC1mYW1pbHk9IidDYXNjYWRpYSBDb2RlIFBMJywgJ0pldEJyYWlucyBNb25vJywgJ0lvc2V2a2EnLCAnRmlyYSBDb2RlJywgJ0hhY2snLCBtb25vc3BhY2UiIGZvbnQtc2l6ZT0iMTQuMDAiPjU8L3RleHQ+CjwvZz4KPCEtLSAxMzk2NjA0MzQyNDczNzYmIzQ1OyZndDsxMzk2NjA0MzYwOTgxMjggLS0+CjxnIGlkPSJlZGdlMSIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+MTM5NjYwNDM0MjQ3Mzc2JiM0NTsmZ3Q7MTM5NjYwNDM2MDk4MTI4PC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJyZWQiIGQ9Ik0xMjYuNjUsLTE0NC43NkMxMjIuMjksLTEzNi4yOCAxMTYuODUsLTEyNS43MSAxMTEuOTYsLTExNi4yIi8+Cjxwb2x5Z29uIGZpbGw9InJlZCIgc3Ryb2tlPSJyZWQiIHBvaW50cz0iMTE0Ljk5LC0xMTQuNDQgMTA3LjMsLTEwNy4xNSAxMDguNzcsLTExNy42NCAxMTQuOTksLTExNC40NCIvPgo8L2c+CjwhLS0gMTM5NjYwNDM1NzkxMzEyIC0tPgo8ZyBpZD0ibm9kZTUiIGNsYXNzPSJub2RlIj4KPHRpdGxlPjEzOTY2MDQzNTc5MTMxMjwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0icmVkIiBjeD0iMTcxIiBjeT0iLTkwIiByeD0iMjciIHJ5PSIxOCIvPgo8dGV4dCB0ZXh0LWFuY2hvcj0ibWlkZGxlIiB4PSIxNzEiIHk9Ii04Ni4zIiBmb250LWZhbWlseT0iJ0Nhc2NhZGlhIENvZGUgUEwnLCAnSmV0QnJhaW5zIE1vbm8nLCAnSW9zZXZrYScsICdGaXJhIENvZGUnLCAnSGFjaycsIG1vbm9zcGFjZSIgZm9udC1zaXplPSIxNC4wMCI+MTI8L3RleHQ+CjwvZz4KPCEtLSAxMzk2NjA0MzQyNDczNzYmIzQ1OyZndDsxMzk2NjA0MzU3OTEzMTIgLS0+CjxnIGlkPSJlZGdlNCIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+MTM5NjYwNDM0MjQ3Mzc2JiM0NTsmZ3Q7MTM5NjYwNDM1NzkxMzEyPC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJyZWQiIGQ9Ik0xNDMuMzUsLTE0NC43NkMxNDcuNzEsLTEzNi4yOCAxNTMuMTUsLTEyNS43MSAxNTguMDQsLTExNi4yIi8+Cjxwb2x5Z29uIGZpbGw9InJlZCIgc3Ryb2tlPSJyZWQiIHBvaW50cz0iMTYxLjIzLC0xMTcuNjQgMTYyLjcsLTEwNy4xNSAxNTUuMDEsLTExNC40NCAxNjEuMjMsLTExNy42NCIvPgo8L2c+CjwhLS0gTDEzOTY2MDQzNjA5ODEyOCAtLT4KPGcgaWQ9Im5vZGUzIiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5MMTM5NjYwNDM2MDk4MTI4PC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJ0cmFuc3BhcmVudCIgY3g9IjI3IiBjeT0iLTE4IiByeD0iMjciIHJ5PSIxOCIvPgo8L2c+CjwhLS0gMTM5NjYwNDM2MDk4MTI4JiM0NTsmZ3Q7TDEzOTY2MDQzNjA5ODEyOCAtLT4KPGcgaWQ9ImVkZ2UyIiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT4xMzk2NjA0MzYwOTgxMjgmIzQ1OyZndDtMMTM5NjYwNDM2MDk4MTI4PC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTg0LjQzLC03NC44M0M3NC4yNSwtNjQuOTQgNjAuNDgsLTUxLjU1IDQ4Ljk3LC00MC4zNiIvPgo8cG9seWdvbiBmaWxsPSJibGFjayIgc3Ryb2tlPSJibGFjayIgcG9pbnRzPSI1MS40MSwtMzcuODUgNDEuOCwtMzMuMzggNDYuNTMsLTQyLjg3IDUxLjQxLC0zNy44NSIvPgo8L2c+CjwhLS0gUjEzOTY2MDQzNjA5ODEyOCAtLT4KPGcgaWQ9Im5vZGU0IiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5SMTM5NjYwNDM2MDk4MTI4PC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJ0cmFuc3BhcmVudCIgY3g9Ijk5IiBjeT0iLTE4IiByeD0iMjciIHJ5PSIxOCIvPgo8L2c+CjwhLS0gMTM5NjYwNDM2MDk4MTI4JiM0NTsmZ3Q7UjEzOTY2MDQzNjA5ODEyOCAtLT4KPGcgaWQ9ImVkZ2UzIiBjbGFzcz0iZWRnZSI+Cjx0aXRsZT4xMzk2NjA0MzYwOTgxMjgmIzQ1OyZndDtSMTM5NjYwNDM2MDk4MTI4PC90aXRsZT4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlPSJibGFjayIgZD0iTTk5LC03MS43Qzk5LC02My45OCA5OSwtNTQuNzEgOTksLTQ2LjExIi8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjEwMi41LC00Ni4xIDk5LC0zNi4xIDk1LjUsLTQ2LjEgMTAyLjUsLTQ2LjEiLz4KPC9nPgo8IS0tIEwxMzk2NjA0MzU3OTEzMTIgLS0+CjxnIGlkPSJub2RlNiIgY2xhc3M9Im5vZGUiPgo8dGl0bGU+TDEzOTY2MDQzNTc5MTMxMjwvdGl0bGU+CjxlbGxpcHNlIGZpbGw9Im5vbmUiIHN0cm9rZT0idHJhbnNwYXJlbnQiIGN4PSIxNzEiIGN5PSItMTgiIHJ4PSIyNyIgcnk9IjE4Ii8+CjwvZz4KPCEtLSAxMzk2NjA0MzU3OTEzMTImIzQ1OyZndDtMMTM5NjYwNDM1NzkxMzEyIC0tPgo8ZyBpZD0iZWRnZTUiIGNsYXNzPSJlZGdlIj4KPHRpdGxlPjEzOTY2MDQzNTc5MTMxMiYjNDU7Jmd0O0wxMzk2NjA0MzU3OTEzMTI8L3RpdGxlPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2U9ImJsYWNrIiBkPSJNMTcxLC03MS43QzE3MSwtNjMuOTggMTcxLC01NC43MSAxNzEsLTQ2LjExIi8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjE3NC41LC00Ni4xIDE3MSwtMzYuMSAxNjcuNSwtNDYuMSAxNzQuNSwtNDYuMSIvPgo8L2c+CjwhLS0gUjEzOTY2MDQzNTc5MTMxMiAtLT4KPGcgaWQ9Im5vZGU3IiBjbGFzcz0ibm9kZSI+Cjx0aXRsZT5SMTM5NjYwNDM1NzkxMzEyPC90aXRsZT4KPGVsbGlwc2UgZmlsbD0ibm9uZSIgc3Ryb2tlPSJ0cmFuc3BhcmVudCIgY3g9IjI0MyIgY3k9Ii0xOCIgcng9IjI3IiByeT0iMTgiLz4KPC9nPgo8IS0tIDEzOTY2MDQzNTc5MTMxMiYjNDU7Jmd0O1IxMzk2NjA0MzU3OTEzMTIgLS0+CjxnIGlkPSJlZGdlNiIgY2xhc3M9ImVkZ2UiPgo8dGl0bGU+MTM5NjYwNDM1NzkxMzEyJiM0NTsmZ3Q7UjEzOTY2MDQzNTc5MTMxMjwvdGl0bGU+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZT0iYmxhY2siIGQ9Ik0xODUuNTcsLTc0LjgzQzE5NS43NSwtNjQuOTQgMjA5LjUyLC01MS41NSAyMjEuMDMsLTQwLjM2Ii8+Cjxwb2x5Z29uIGZpbGw9ImJsYWNrIiBzdHJva2U9ImJsYWNrIiBwb2ludHM9IjIyMy40NywtNDIuODcgMjI4LjIsLTMzLjM4IDIxOC41OSwtMzcuODUgMjIzLjQ3LC00Mi44NyIvPgo8L2c+CjwvZz4KPC9zdmc+Cg=="},4110:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},7632:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,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"},9418:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="314pt" height="260pt"
 viewBox="0.00 0.00 314.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-256 310,-256 310,4 -4,4"/>
<!-- 139660434247376 -->
<g id="node1" class="node">
<title>139660434247376</title>
<ellipse fill="none" stroke="red" cx="135" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="135" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">9</text>
</g>
<!-- 139660436098128 -->
<g id="node2" class="node">
<title>139660436098128</title>
<ellipse fill="none" stroke="white" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- 139660434247376&#45;&gt;139660436098128 -->
<g id="edge1" class="edge">
<title>139660434247376&#45;&gt;139660436098128</title>
<path fill="none" stroke="white" d="M126.65,-216.76C122.29,-208.28 116.85,-197.71 111.96,-188.2"/>
<polygon fill="transparent" stroke="white" points="114.99,-186.44 107.3,-179.15 108.77,-189.64 114.99,-186.44"/>
</g>
<!-- 139660435791312 -->
<g id="node7" class="node">
<title>139660435791312</title>
<ellipse fill="none" stroke="white" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">12</text>
</g>
<!-- 139660434247376&#45;&gt;139660435791312 -->
<g id="edge6" class="edge">
<title>139660434247376&#45;&gt;139660435791312</title>
<path fill="none" stroke="white" d="M143.35,-216.76C147.71,-208.28 153.15,-197.71 158.04,-188.2"/>
<polygon fill="transparent" stroke="white" points="161.23,-189.64 162.7,-179.15 155.01,-186.44 161.23,-189.64"/>
</g>
<!-- 139660435887760 -->
<g id="node3" class="node">
<title>139660435887760</title>
<ellipse fill="none" stroke="red" cx="27" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="27" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- 139660436098128&#45;&gt;139660435887760 -->
<g id="edge2" class="edge">
<title>139660436098128&#45;&gt;139660435887760</title>
<path fill="none" stroke="red" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="transparent" stroke="red" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R139660436098128 -->
<g id="node6" class="node">
<title>R139660436098128</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660436098128&#45;&gt;R139660436098128 -->
<g id="edge5" class="edge">
<title>139660436098128&#45;&gt;R139660436098128</title>
<path fill="none" stroke="white" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- L139660435887760 -->
<g id="node4" class="node">
<title>L139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;L139660435887760 -->
<g id="edge3" class="edge">
<title>139660435887760&#45;&gt;L139660435887760</title>
<path fill="none" stroke="white" d="M27,-71.7C27,-63.98 27,-54.71 27,-46.11"/>
<polygon fill="transparent" stroke="white" points="30.5,-46.1 27,-36.1 23.5,-46.1 30.5,-46.1"/>
</g>
<!-- R139660435887760 -->
<g id="node5" class="node">
<title>R139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;R139660435887760 -->
<g id="edge4" class="edge">
<title>139660435887760&#45;&gt;R139660435887760</title>
<path fill="none" stroke="white" d="M41.57,-74.83C51.75,-64.94 65.52,-51.55 77.03,-40.36"/>
<polygon fill="transparent" stroke="white" points="79.47,-42.87 84.2,-33.38 74.59,-37.85 79.47,-42.87"/>
</g>
<!-- L139660435791312 -->
<g id="node8" class="node">
<title>L139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;L139660435791312 -->
<g id="edge7" class="edge">
<title>139660435791312&#45;&gt;L139660435791312</title>
<path fill="none" stroke="white" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="transparent" stroke="white" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- 139660435887824 -->
<g id="node9" class="node">
<title>139660435887824</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">18</text>
</g>
<!-- 139660435791312&#45;&gt;139660435887824 -->
<g id="edge8" class="edge">
<title>139660435791312&#45;&gt;139660435887824</title>
<path fill="none" stroke="red" d="M185.57,-146.83C195.75,-136.94 209.52,-123.55 221.03,-112.36"/>
<polygon fill="transparent" stroke="red" points="223.47,-114.87 228.2,-105.38 218.59,-109.85 223.47,-114.87"/>
</g>
<!-- L139660435887824 -->
<g id="node10" class="node">
<title>L139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;L139660435887824 -->
<g id="edge9" class="edge">
<title>139660435887824&#45;&gt;L139660435887824</title>
<path fill="none" stroke="white" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="transparent" stroke="white" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R139660435887824 -->
<g id="node11" class="node">
<title>R139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;R139660435887824 -->
<g id="edge10" class="edge">
<title>139660435887824&#45;&gt;R139660435887824</title>
<path fill="none" stroke="white" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="transparent" stroke="white" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
</g>
</svg>
"},7109:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="314pt" height="260pt"
 viewBox="0.00 0.00 314.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-256 310,-256 310,4 -4,4"/>
<!-- 139660434247376 -->
<g id="node1" class="node">
<title>139660434247376</title>
<ellipse fill="none" stroke="red" cx="135" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="135" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">9</text>
</g>
<!-- 139660436098128 -->
<g id="node2" class="node">
<title>139660436098128</title>
<ellipse fill="none" stroke="black" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- 139660434247376&#45;&gt;139660436098128 -->
<g id="edge1" class="edge">
<title>139660434247376&#45;&gt;139660436098128</title>
<path fill="none" stroke="black" d="M126.65,-216.76C122.29,-208.28 116.85,-197.71 111.96,-188.2"/>
<polygon fill="black" stroke="black" points="114.99,-186.44 107.3,-179.15 108.77,-189.64 114.99,-186.44"/>
</g>
<!-- 139660435791312 -->
<g id="node7" class="node">
<title>139660435791312</title>
<ellipse fill="none" stroke="black" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">12</text>
</g>
<!-- 139660434247376&#45;&gt;139660435791312 -->
<g id="edge6" class="edge">
<title>139660434247376&#45;&gt;139660435791312</title>
<path fill="none" stroke="black" d="M143.35,-216.76C147.71,-208.28 153.15,-197.71 158.04,-188.2"/>
<polygon fill="black" stroke="black" points="161.23,-189.64 162.7,-179.15 155.01,-186.44 161.23,-189.64"/>
</g>
<!-- 139660435887760 -->
<g id="node3" class="node">
<title>139660435887760</title>
<ellipse fill="none" stroke="red" cx="27" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="27" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- 139660436098128&#45;&gt;139660435887760 -->
<g id="edge2" class="edge">
<title>139660436098128&#45;&gt;139660435887760</title>
<path fill="none" stroke="red" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="red" stroke="red" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R139660436098128 -->
<g id="node6" class="node">
<title>R139660436098128</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660436098128&#45;&gt;R139660436098128 -->
<g id="edge5" class="edge">
<title>139660436098128&#45;&gt;R139660436098128</title>
<path fill="none" stroke="black" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="black" stroke="black" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- L139660435887760 -->
<g id="node4" class="node">
<title>L139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;L139660435887760 -->
<g id="edge3" class="edge">
<title>139660435887760&#45;&gt;L139660435887760</title>
<path fill="none" stroke="black" d="M27,-71.7C27,-63.98 27,-54.71 27,-46.11"/>
<polygon fill="black" stroke="black" points="30.5,-46.1 27,-36.1 23.5,-46.1 30.5,-46.1"/>
</g>
<!-- R139660435887760 -->
<g id="node5" class="node">
<title>R139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;R139660435887760 -->
<g id="edge4" class="edge">
<title>139660435887760&#45;&gt;R139660435887760</title>
<path fill="none" stroke="black" d="M41.57,-74.83C51.75,-64.94 65.52,-51.55 77.03,-40.36"/>
<polygon fill="black" stroke="black" points="79.47,-42.87 84.2,-33.38 74.59,-37.85 79.47,-42.87"/>
</g>
<!-- L139660435791312 -->
<g id="node8" class="node">
<title>L139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;L139660435791312 -->
<g id="edge7" class="edge">
<title>139660435791312&#45;&gt;L139660435791312</title>
<path fill="none" stroke="black" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="black" stroke="black" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- 139660435887824 -->
<g id="node9" class="node">
<title>139660435887824</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">18</text>
</g>
<!-- 139660435791312&#45;&gt;139660435887824 -->
<g id="edge8" class="edge">
<title>139660435791312&#45;&gt;139660435887824</title>
<path fill="none" stroke="red" d="M185.57,-146.83C195.75,-136.94 209.52,-123.55 221.03,-112.36"/>
<polygon fill="red" stroke="red" points="223.47,-114.87 228.2,-105.38 218.59,-109.85 223.47,-114.87"/>
</g>
<!-- L139660435887824 -->
<g id="node10" class="node">
<title>L139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;L139660435887824 -->
<g id="edge9" class="edge">
<title>139660435887824&#45;&gt;L139660435887824</title>
<path fill="none" stroke="black" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="black" stroke="black" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R139660435887824 -->
<g id="node11" class="node">
<title>R139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;R139660435887824 -->
<g id="edge10" class="edge">
<title>139660435887824&#45;&gt;R139660435887824</title>
<path fill="none" stroke="black" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="black" stroke="black" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
</g>
</svg>
"},3533:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="260pt"
 viewBox="0.00 0.00 422.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-256 418,-256 418,4 -4,4"/>
<!-- 139660434247376 -->
<g id="node1" class="node">
<title>139660434247376</title>
<ellipse fill="none" stroke="red" cx="207" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">9</text>
</g>
<!-- 139660436098128 -->
<g id="node2" class="node">
<title>139660436098128</title>
<ellipse fill="none" stroke="white" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- 139660434247376&#45;&gt;139660436098128 -->
<g id="edge1" class="edge">
<title>139660434247376&#45;&gt;139660436098128</title>
<path fill="none" stroke="white" d="M198.65,-216.76C194.29,-208.28 188.85,-197.71 183.96,-188.2"/>
<polygon fill="transparent" stroke="white" points="186.99,-186.44 179.3,-179.15 180.77,-189.64 186.99,-186.44"/>
</g>
<!-- 139660435793424 -->
<g id="node7" class="node">
<title>139660435793424</title>
<ellipse fill="none" stroke="white" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">15</text>
</g>
<!-- 139660434247376&#45;&gt;139660435793424 -->
<g id="edge6" class="edge">
<title>139660434247376&#45;&gt;139660435793424</title>
<path fill="none" stroke="white" d="M215.35,-216.76C219.71,-208.28 225.15,-197.71 230.04,-188.2"/>
<polygon fill="transparent" stroke="white" points="233.23,-189.64 234.7,-179.15 227.01,-186.44 233.23,-189.64"/>
</g>
<!-- 139660435887760 -->
<g id="node3" class="node">
<title>139660435887760</title>
<ellipse fill="none" stroke="red" cx="99" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- 139660436098128&#45;&gt;139660435887760 -->
<g id="edge2" class="edge">
<title>139660436098128&#45;&gt;139660435887760</title>
<path fill="none" stroke="red" d="M156.43,-146.83C146.25,-136.94 132.48,-123.55 120.97,-112.36"/>
<polygon fill="transparent" stroke="red" points="123.41,-109.85 113.8,-105.38 118.53,-114.87 123.41,-109.85"/>
</g>
<!-- R139660436098128 -->
<g id="node6" class="node">
<title>R139660436098128</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660436098128&#45;&gt;R139660436098128 -->
<g id="edge5" class="edge">
<title>139660436098128&#45;&gt;R139660436098128</title>
<path fill="none" stroke="white" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="transparent" stroke="white" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- L139660435887760 -->
<g id="node4" class="node">
<title>L139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;L139660435887760 -->
<g id="edge3" class="edge">
<title>139660435887760&#45;&gt;L139660435887760</title>
<path fill="none" stroke="white" d="M84.43,-74.83C74.25,-64.94 60.48,-51.55 48.97,-40.36"/>
<polygon fill="transparent" stroke="white" points="51.41,-37.85 41.8,-33.38 46.53,-42.87 51.41,-37.85"/>
</g>
<!-- R139660435887760 -->
<g id="node5" class="node">
<title>R139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;R139660435887760 -->
<g id="edge4" class="edge">
<title>139660435887760&#45;&gt;R139660435887760</title>
<path fill="none" stroke="white" d="M99,-71.7C99,-63.98 99,-54.71 99,-46.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-46.1 99,-36.1 95.5,-46.1 102.5,-46.1"/>
</g>
<!-- 139660435791312 -->
<g id="node8" class="node">
<title>139660435791312</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">12</text>
</g>
<!-- 139660435793424&#45;&gt;139660435791312 -->
<g id="edge7" class="edge">
<title>139660435793424&#45;&gt;139660435791312</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="transparent" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- 139660435887824 -->
<g id="node11" class="node">
<title>139660435887824</title>
<ellipse fill="none" stroke="red" cx="315" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">18</text>
</g>
<!-- 139660435793424&#45;&gt;139660435887824 -->
<g id="edge10" class="edge">
<title>139660435793424&#45;&gt;139660435887824</title>
<path fill="none" stroke="red" d="M257.57,-146.83C267.75,-136.94 281.52,-123.55 293.03,-112.36"/>
<polygon fill="transparent" stroke="red" points="295.47,-114.87 300.2,-105.38 290.59,-109.85 295.47,-114.87"/>
</g>
<!-- L139660435791312 -->
<g id="node9" class="node">
<title>L139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;L139660435791312 -->
<g id="edge8" class="edge">
<title>139660435791312&#45;&gt;L139660435791312</title>
<path fill="none" stroke="white" d="M228.43,-74.83C218.25,-64.94 204.48,-51.55 192.97,-40.36"/>
<polygon fill="transparent" stroke="white" points="195.41,-37.85 185.8,-33.38 190.53,-42.87 195.41,-37.85"/>
</g>
<!-- R139660435791312 -->
<g id="node10" class="node">
<title>R139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;R139660435791312 -->
<g id="edge9" class="edge">
<title>139660435791312&#45;&gt;R139660435791312</title>
<path fill="none" stroke="white" d="M243,-71.7C243,-63.98 243,-54.71 243,-46.11"/>
<polygon fill="transparent" stroke="white" points="246.5,-46.1 243,-36.1 239.5,-46.1 246.5,-46.1"/>
</g>
<!-- L139660435887824 -->
<g id="node12" class="node">
<title>L139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;L139660435887824 -->
<g id="edge11" class="edge">
<title>139660435887824&#45;&gt;L139660435887824</title>
<path fill="none" stroke="white" d="M315,-71.7C315,-63.98 315,-54.71 315,-46.11"/>
<polygon fill="transparent" stroke="white" points="318.5,-46.1 315,-36.1 311.5,-46.1 318.5,-46.1"/>
</g>
<!-- R139660435887824 -->
<g id="node13" class="node">
<title>R139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;R139660435887824 -->
<g id="edge12" class="edge">
<title>139660435887824&#45;&gt;R139660435887824</title>
<path fill="none" stroke="white" d="M329.57,-74.83C339.75,-64.94 353.52,-51.55 365.03,-40.36"/>
<polygon fill="transparent" stroke="white" points="367.47,-42.87 372.2,-33.38 362.59,-37.85 367.47,-42.87"/>
</g>
</g>
</svg>
"},8998:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="260pt"
 viewBox="0.00 0.00 422.00 260.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 256)">
<title>RBTree</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-256 418,-256 418,4 -4,4"/>
<!-- 139660434247376 -->
<g id="node1" class="node">
<title>139660434247376</title>
<ellipse fill="none" stroke="red" cx="207" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">9</text>
</g>
<!-- 139660436098128 -->
<g id="node2" class="node">
<title>139660436098128</title>
<ellipse fill="none" stroke="black" cx="171" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- 139660434247376&#45;&gt;139660436098128 -->
<g id="edge1" class="edge">
<title>139660434247376&#45;&gt;139660436098128</title>
<path fill="none" stroke="black" d="M198.65,-216.76C194.29,-208.28 188.85,-197.71 183.96,-188.2"/>
<polygon fill="black" stroke="black" points="186.99,-186.44 179.3,-179.15 180.77,-189.64 186.99,-186.44"/>
</g>
<!-- 139660435793424 -->
<g id="node7" class="node">
<title>139660435793424</title>
<ellipse fill="none" stroke="black" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">15</text>
</g>
<!-- 139660434247376&#45;&gt;139660435793424 -->
<g id="edge6" class="edge">
<title>139660434247376&#45;&gt;139660435793424</title>
<path fill="none" stroke="black" d="M215.35,-216.76C219.71,-208.28 225.15,-197.71 230.04,-188.2"/>
<polygon fill="black" stroke="black" points="233.23,-189.64 234.7,-179.15 227.01,-186.44 233.23,-189.64"/>
</g>
<!-- 139660435887760 -->
<g id="node3" class="node">
<title>139660435887760</title>
<ellipse fill="none" stroke="red" cx="99" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- 139660436098128&#45;&gt;139660435887760 -->
<g id="edge2" class="edge">
<title>139660436098128&#45;&gt;139660435887760</title>
<path fill="none" stroke="red" d="M156.43,-146.83C146.25,-136.94 132.48,-123.55 120.97,-112.36"/>
<polygon fill="red" stroke="red" points="123.41,-109.85 113.8,-105.38 118.53,-114.87 123.41,-109.85"/>
</g>
<!-- R139660436098128 -->
<g id="node6" class="node">
<title>R139660436098128</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660436098128&#45;&gt;R139660436098128 -->
<g id="edge5" class="edge">
<title>139660436098128&#45;&gt;R139660436098128</title>
<path fill="none" stroke="black" d="M171,-143.7C171,-135.98 171,-126.71 171,-118.11"/>
<polygon fill="black" stroke="black" points="174.5,-118.1 171,-108.1 167.5,-118.1 174.5,-118.1"/>
</g>
<!-- L139660435887760 -->
<g id="node4" class="node">
<title>L139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;L139660435887760 -->
<g id="edge3" class="edge">
<title>139660435887760&#45;&gt;L139660435887760</title>
<path fill="none" stroke="black" d="M84.43,-74.83C74.25,-64.94 60.48,-51.55 48.97,-40.36"/>
<polygon fill="black" stroke="black" points="51.41,-37.85 41.8,-33.38 46.53,-42.87 51.41,-37.85"/>
</g>
<!-- R139660435887760 -->
<g id="node5" class="node">
<title>R139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;R139660435887760 -->
<g id="edge4" class="edge">
<title>139660435887760&#45;&gt;R139660435887760</title>
<path fill="none" stroke="black" d="M99,-71.7C99,-63.98 99,-54.71 99,-46.11"/>
<polygon fill="black" stroke="black" points="102.5,-46.1 99,-36.1 95.5,-46.1 102.5,-46.1"/>
</g>
<!-- 139660435791312 -->
<g id="node8" class="node">
<title>139660435791312</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">12</text>
</g>
<!-- 139660435793424&#45;&gt;139660435791312 -->
<g id="edge7" class="edge">
<title>139660435793424&#45;&gt;139660435791312</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="red" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- 139660435887824 -->
<g id="node11" class="node">
<title>139660435887824</title>
<ellipse fill="none" stroke="red" cx="315" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">18</text>
</g>
<!-- 139660435793424&#45;&gt;139660435887824 -->
<g id="edge10" class="edge">
<title>139660435793424&#45;&gt;139660435887824</title>
<path fill="none" stroke="red" d="M257.57,-146.83C267.75,-136.94 281.52,-123.55 293.03,-112.36"/>
<polygon fill="red" stroke="red" points="295.47,-114.87 300.2,-105.38 290.59,-109.85 295.47,-114.87"/>
</g>
<!-- L139660435791312 -->
<g id="node9" class="node">
<title>L139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;L139660435791312 -->
<g id="edge8" class="edge">
<title>139660435791312&#45;&gt;L139660435791312</title>
<path fill="none" stroke="black" d="M228.43,-74.83C218.25,-64.94 204.48,-51.55 192.97,-40.36"/>
<polygon fill="black" stroke="black" points="195.41,-37.85 185.8,-33.38 190.53,-42.87 195.41,-37.85"/>
</g>
<!-- R139660435791312 -->
<g id="node10" class="node">
<title>R139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="243" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;R139660435791312 -->
<g id="edge9" class="edge">
<title>139660435791312&#45;&gt;R139660435791312</title>
<path fill="none" stroke="black" d="M243,-71.7C243,-63.98 243,-54.71 243,-46.11"/>
<polygon fill="black" stroke="black" points="246.5,-46.1 243,-36.1 239.5,-46.1 246.5,-46.1"/>
</g>
<!-- L139660435887824 -->
<g id="node12" class="node">
<title>L139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;L139660435887824 -->
<g id="edge11" class="edge">
<title>139660435887824&#45;&gt;L139660435887824</title>
<path fill="none" stroke="black" d="M315,-71.7C315,-63.98 315,-54.71 315,-46.11"/>
<polygon fill="black" stroke="black" points="318.5,-46.1 315,-36.1 311.5,-46.1 318.5,-46.1"/>
</g>
<!-- R139660435887824 -->
<g id="node13" class="node">
<title>R139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;R139660435887824 -->
<g id="edge12" class="edge">
<title>139660435887824&#45;&gt;R139660435887824</title>
<path fill="none" stroke="black" d="M329.57,-74.83C339.75,-64.94 353.52,-51.55 365.03,-40.36"/>
<polygon fill="black" stroke="black" points="367.47,-42.87 372.2,-33.38 362.59,-37.85 367.47,-42.87"/>
</g>
</g>
</svg>
"},4269:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="332pt"
 viewBox="0.00 0.00 422.00 332.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 328)">
<title>RBTree</title>
<polygon fill="#1b1b1d" stroke="transparent" points="-4,4 -4,-328 418,-328 418,4 -4,4"/>
<!-- 139660434247376 -->
<g id="node1" class="node">
<title>139660434247376</title>
<ellipse fill="none" stroke="white" cx="207" cy="-306" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-302.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">9</text>
</g>
<!-- 139660436098128 -->
<g id="node2" class="node">
<title>139660436098128</title>
<ellipse fill="none" stroke="white" cx="171" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">5</text>
</g>
<!-- 139660434247376&#45;&gt;139660436098128 -->
<g id="edge1" class="edge">
<title>139660434247376&#45;&gt;139660436098128</title>
<path fill="none" stroke="white" d="M198.65,-288.76C194.29,-280.28 188.85,-269.71 183.96,-260.2"/>
<polygon fill="transparent" stroke="white" points="186.99,-258.44 179.3,-251.15 180.77,-261.64 186.99,-258.44"/>
</g>
<!-- 139660435793424 -->
<g id="node7" class="node">
<title>139660435793424</title>
<ellipse fill="none" stroke="red" cx="243" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">15</text>
</g>
<!-- 139660434247376&#45;&gt;139660435793424 -->
<g id="edge6" class="edge">
<title>139660434247376&#45;&gt;139660435793424</title>
<path fill="none" stroke="red" d="M215.35,-288.76C219.71,-280.28 225.15,-269.71 230.04,-260.2"/>
<polygon fill="transparent" stroke="red" points="233.23,-261.64 234.7,-251.15 227.01,-258.44 233.23,-261.64"/>
</g>
<!-- 139660435887760 -->
<g id="node3" class="node">
<title>139660435887760</title>
<ellipse fill="none" stroke="red" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">2</text>
</g>
<!-- 139660436098128&#45;&gt;139660435887760 -->
<g id="edge2" class="edge">
<title>139660436098128&#45;&gt;139660435887760</title>
<path fill="none" stroke="red" d="M156.43,-218.83C146.25,-208.94 132.48,-195.55 120.97,-184.36"/>
<polygon fill="transparent" stroke="red" points="123.41,-181.85 113.8,-177.38 118.53,-186.87 123.41,-181.85"/>
</g>
<!-- R139660436098128 -->
<g id="node6" class="node">
<title>R139660436098128</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-162" rx="27" ry="18"/>
</g>
<!-- 139660436098128&#45;&gt;R139660436098128 -->
<g id="edge5" class="edge">
<title>139660436098128&#45;&gt;R139660436098128</title>
<path fill="none" stroke="white" d="M171,-215.7C171,-207.98 171,-198.71 171,-190.11"/>
<polygon fill="transparent" stroke="white" points="174.5,-190.1 171,-180.1 167.5,-190.1 174.5,-190.1"/>
</g>
<!-- L139660435887760 -->
<g id="node4" class="node">
<title>L139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;L139660435887760 -->
<g id="edge3" class="edge">
<title>139660435887760&#45;&gt;L139660435887760</title>
<path fill="none" stroke="white" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="transparent" stroke="white" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R139660435887760 -->
<g id="node5" class="node">
<title>R139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;R139660435887760 -->
<g id="edge4" class="edge">
<title>139660435887760&#45;&gt;R139660435887760</title>
<path fill="none" stroke="white" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="transparent" stroke="white" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- 139660435791312 -->
<g id="node8" class="node">
<title>139660435791312</title>
<ellipse fill="none" stroke="white" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">12</text>
</g>
<!-- 139660435793424&#45;&gt;139660435791312 -->
<g id="edge7" class="edge">
<title>139660435793424&#45;&gt;139660435791312</title>
<path fill="none" stroke="white" d="M243,-215.7C243,-207.98 243,-198.71 243,-190.11"/>
<polygon fill="transparent" stroke="white" points="246.5,-190.1 243,-180.1 239.5,-190.1 246.5,-190.1"/>
</g>
<!-- 139660435887824 -->
<g id="node13" class="node">
<title>139660435887824</title>
<ellipse fill="none" stroke="white" cx="315" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">18</text>
</g>
<!-- 139660435793424&#45;&gt;139660435887824 -->
<g id="edge12" class="edge">
<title>139660435793424&#45;&gt;139660435887824</title>
<path fill="none" stroke="white" d="M257.57,-218.83C267.75,-208.94 281.52,-195.55 293.03,-184.36"/>
<polygon fill="transparent" stroke="white" points="295.47,-186.87 300.2,-177.38 290.59,-181.85 295.47,-186.87"/>
</g>
<!-- L139660435791312 -->
<g id="node9" class="node">
<title>L139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;L139660435791312 -->
<g id="edge8" class="edge">
<title>139660435791312&#45;&gt;L139660435791312</title>
<path fill="none" stroke="white" d="M228.43,-146.83C218.25,-136.94 204.48,-123.55 192.97,-112.36"/>
<polygon fill="transparent" stroke="white" points="195.41,-109.85 185.8,-105.38 190.53,-114.87 195.41,-109.85"/>
</g>
<!-- 139660435793488 -->
<g id="node10" class="node">
<title>139660435793488</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00" fill="white">13</text>
</g>
<!-- 139660435791312&#45;&gt;139660435793488 -->
<g id="edge9" class="edge">
<title>139660435791312&#45;&gt;139660435793488</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="transparent" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- L139660435793488 -->
<g id="node11" class="node">
<title>L139660435793488</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435793488&#45;&gt;L139660435793488 -->
<g id="edge10" class="edge">
<title>139660435793488&#45;&gt;L139660435793488</title>
<path fill="none" stroke="white" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="transparent" stroke="white" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R139660435793488 -->
<g id="node12" class="node">
<title>R139660435793488</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435793488&#45;&gt;R139660435793488 -->
<g id="edge11" class="edge">
<title>139660435793488&#45;&gt;R139660435793488</title>
<path fill="none" stroke="white" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="transparent" stroke="white" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
<!-- L139660435887824 -->
<g id="node14" class="node">
<title>L139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;L139660435887824 -->
<g id="edge13" class="edge">
<title>139660435887824&#45;&gt;L139660435887824</title>
<path fill="none" stroke="white" d="M315,-143.7C315,-135.98 315,-126.71 315,-118.11"/>
<polygon fill="transparent" stroke="white" points="318.5,-118.1 315,-108.1 311.5,-118.1 318.5,-118.1"/>
</g>
<!-- R139660435887824 -->
<g id="node15" class="node">
<title>R139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;R139660435887824 -->
<g id="edge14" class="edge">
<title>139660435887824&#45;&gt;R139660435887824</title>
<path fill="none" stroke="white" d="M329.57,-146.83C339.75,-136.94 353.52,-123.55 365.03,-112.36"/>
<polygon fill="transparent" stroke="white" points="367.47,-114.87 372.2,-105.38 362.59,-109.85 367.47,-114.87"/>
</g>
</g>
</svg>
"},2366:(I,M,i)=>{i.d(M,{Z:()=>N});const N="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
 "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.43.0 (0)
 -->
<!-- Title: RBTree Pages: 1 -->
<svg width="422pt" height="332pt"
 viewBox="0.00 0.00 422.00 332.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 328)">
<title>RBTree</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-328 418,-328 418,4 -4,4"/>
<!-- 139660434247376 -->
<g id="node1" class="node">
<title>139660434247376</title>
<ellipse fill="none" stroke="black" cx="207" cy="-306" rx="27" ry="18"/>
<text text-anchor="middle" x="207" y="-302.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">9</text>
</g>
<!-- 139660436098128 -->
<g id="node2" class="node">
<title>139660436098128</title>
<ellipse fill="none" stroke="black" cx="171" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">5</text>
</g>
<!-- 139660434247376&#45;&gt;139660436098128 -->
<g id="edge1" class="edge">
<title>139660434247376&#45;&gt;139660436098128</title>
<path fill="none" stroke="black" d="M198.65,-288.76C194.29,-280.28 188.85,-269.71 183.96,-260.2"/>
<polygon fill="black" stroke="black" points="186.99,-258.44 179.3,-251.15 180.77,-261.64 186.99,-258.44"/>
</g>
<!-- 139660435793424 -->
<g id="node7" class="node">
<title>139660435793424</title>
<ellipse fill="none" stroke="red" cx="243" cy="-234" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-230.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">15</text>
</g>
<!-- 139660434247376&#45;&gt;139660435793424 -->
<g id="edge6" class="edge">
<title>139660434247376&#45;&gt;139660435793424</title>
<path fill="none" stroke="red" d="M215.35,-288.76C219.71,-280.28 225.15,-269.71 230.04,-260.2"/>
<polygon fill="red" stroke="red" points="233.23,-261.64 234.7,-251.15 227.01,-258.44 233.23,-261.64"/>
</g>
<!-- 139660435887760 -->
<g id="node3" class="node">
<title>139660435887760</title>
<ellipse fill="none" stroke="red" cx="99" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">2</text>
</g>
<!-- 139660436098128&#45;&gt;139660435887760 -->
<g id="edge2" class="edge">
<title>139660436098128&#45;&gt;139660435887760</title>
<path fill="none" stroke="red" d="M156.43,-218.83C146.25,-208.94 132.48,-195.55 120.97,-184.36"/>
<polygon fill="red" stroke="red" points="123.41,-181.85 113.8,-177.38 118.53,-186.87 123.41,-181.85"/>
</g>
<!-- R139660436098128 -->
<g id="node6" class="node">
<title>R139660436098128</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-162" rx="27" ry="18"/>
</g>
<!-- 139660436098128&#45;&gt;R139660436098128 -->
<g id="edge5" class="edge">
<title>139660436098128&#45;&gt;R139660436098128</title>
<path fill="none" stroke="black" d="M171,-215.7C171,-207.98 171,-198.71 171,-190.11"/>
<polygon fill="black" stroke="black" points="174.5,-190.1 171,-180.1 167.5,-190.1 174.5,-190.1"/>
</g>
<!-- L139660435887760 -->
<g id="node4" class="node">
<title>L139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="27" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;L139660435887760 -->
<g id="edge3" class="edge">
<title>139660435887760&#45;&gt;L139660435887760</title>
<path fill="none" stroke="black" d="M84.43,-146.83C74.25,-136.94 60.48,-123.55 48.97,-112.36"/>
<polygon fill="black" stroke="black" points="51.41,-109.85 41.8,-105.38 46.53,-114.87 51.41,-109.85"/>
</g>
<!-- R139660435887760 -->
<g id="node5" class="node">
<title>R139660435887760</title>
<ellipse fill="none" stroke="transparent" cx="99" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887760&#45;&gt;R139660435887760 -->
<g id="edge4" class="edge">
<title>139660435887760&#45;&gt;R139660435887760</title>
<path fill="none" stroke="black" d="M99,-143.7C99,-135.98 99,-126.71 99,-118.11"/>
<polygon fill="black" stroke="black" points="102.5,-118.1 99,-108.1 95.5,-118.1 102.5,-118.1"/>
</g>
<!-- 139660435791312 -->
<g id="node8" class="node">
<title>139660435791312</title>
<ellipse fill="none" stroke="black" cx="243" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">12</text>
</g>
<!-- 139660435793424&#45;&gt;139660435791312 -->
<g id="edge7" class="edge">
<title>139660435793424&#45;&gt;139660435791312</title>
<path fill="none" stroke="black" d="M243,-215.7C243,-207.98 243,-198.71 243,-190.11"/>
<polygon fill="black" stroke="black" points="246.5,-190.1 243,-180.1 239.5,-190.1 246.5,-190.1"/>
</g>
<!-- 139660435887824 -->
<g id="node13" class="node">
<title>139660435887824</title>
<ellipse fill="none" stroke="black" cx="315" cy="-162" rx="27" ry="18"/>
<text text-anchor="middle" x="315" y="-158.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">18</text>
</g>
<!-- 139660435793424&#45;&gt;139660435887824 -->
<g id="edge12" class="edge">
<title>139660435793424&#45;&gt;139660435887824</title>
<path fill="none" stroke="black" d="M257.57,-218.83C267.75,-208.94 281.52,-195.55 293.03,-184.36"/>
<polygon fill="black" stroke="black" points="295.47,-186.87 300.2,-177.38 290.59,-181.85 295.47,-186.87"/>
</g>
<!-- L139660435791312 -->
<g id="node9" class="node">
<title>L139660435791312</title>
<ellipse fill="none" stroke="transparent" cx="171" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435791312&#45;&gt;L139660435791312 -->
<g id="edge8" class="edge">
<title>139660435791312&#45;&gt;L139660435791312</title>
<path fill="none" stroke="black" d="M228.43,-146.83C218.25,-136.94 204.48,-123.55 192.97,-112.36"/>
<polygon fill="black" stroke="black" points="195.41,-109.85 185.8,-105.38 190.53,-114.87 195.41,-109.85"/>
</g>
<!-- 139660435793488 -->
<g id="node10" class="node">
<title>139660435793488</title>
<ellipse fill="none" stroke="red" cx="243" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-86.3" font-family="'Cascadia Code PL', 'JetBrains Mono', 'Iosevka', 'Fira Code', 'Hack', monospace" font-size="14.00">13</text>
</g>
<!-- 139660435791312&#45;&gt;139660435793488 -->
<g id="edge9" class="edge">
<title>139660435791312&#45;&gt;139660435793488</title>
<path fill="none" stroke="red" d="M243,-143.7C243,-135.98 243,-126.71 243,-118.11"/>
<polygon fill="red" stroke="red" points="246.5,-118.1 243,-108.1 239.5,-118.1 246.5,-118.1"/>
</g>
<!-- L139660435793488 -->
<g id="node11" class="node">
<title>L139660435793488</title>
<ellipse fill="none" stroke="transparent" cx="207" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435793488&#45;&gt;L139660435793488 -->
<g id="edge10" class="edge">
<title>139660435793488&#45;&gt;L139660435793488</title>
<path fill="none" stroke="black" d="M234.65,-72.76C230.29,-64.28 224.85,-53.71 219.96,-44.2"/>
<polygon fill="black" stroke="black" points="222.99,-42.44 215.3,-35.15 216.77,-45.64 222.99,-42.44"/>
</g>
<!-- R139660435793488 -->
<g id="node12" class="node">
<title>R139660435793488</title>
<ellipse fill="none" stroke="transparent" cx="279" cy="-18" rx="27" ry="18"/>
</g>
<!-- 139660435793488&#45;&gt;R139660435793488 -->
<g id="edge11" class="edge">
<title>139660435793488&#45;&gt;R139660435793488</title>
<path fill="none" stroke="black" d="M251.35,-72.76C255.71,-64.28 261.15,-53.71 266.04,-44.2"/>
<polygon fill="black" stroke="black" points="269.23,-45.64 270.7,-35.15 263.01,-42.44 269.23,-45.64"/>
</g>
<!-- L139660435887824 -->
<g id="node14" class="node">
<title>L139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="315" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;L139660435887824 -->
<g id="edge13" class="edge">
<title>139660435887824&#45;&gt;L139660435887824</title>
<path fill="none" stroke="black" d="M315,-143.7C315,-135.98 315,-126.71 315,-118.11"/>
<polygon fill="black" stroke="black" points="318.5,-118.1 315,-108.1 311.5,-118.1 318.5,-118.1"/>
</g>
<!-- R139660435887824 -->
<g id="node15" class="node">
<title>R139660435887824</title>
<ellipse fill="none" stroke="transparent" cx="387" cy="-90" rx="27" ry="18"/>
</g>
<!-- 139660435887824&#45;&gt;R139660435887824 -->
<g id="edge14" class="edge">
<title>139660435887824&#45;&gt;R139660435887824</title>
<path fill="none" stroke="black" d="M329.57,-146.83C339.75,-136.94 353.52,-123.55 365.03,-112.36"/>
<polygon fill="black" stroke="black" points="367.47,-114.87 372.2,-105.38 362.59,-109.85 367.47,-114.87"/>
</g>
</g>
</svg>
"},122:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rr_7_dark-f8796e7eda13a89d198098744b079384.svg"},3927:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rr_7_light-f03b9073d10947b0af1a226ee8e12fa4.svg"},2476:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rr_8_dark-f1562f7fd1dc9442e496260e74447d03.svg"},5509:(I,M,i)=>{i.d(M,{Z:()=>N});const N=i.p+"assets/images/rr_8_light-7531279bbbb44b4e206fe5040b38df4d.svg"}}]); \ No newline at end of file diff --git a/assets/js/3de247b5.66851c3c.js b/assets/js/3de247b5.66851c3c.js deleted file mode 100644 index ae8ce8a..0000000 --- a/assets/js/3de247b5.66851c3c.js +++ /dev/null @@ -1 +0,0 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[3184],{3905:(e,t,a)=>{a.d(t,{Zo:()=>h,kt:()=>k});var n=a(7294);function r(e,t,a){return t in e?Object.defineProperty(e,t,{value:a,enumerable:!0,configurable:!0,writable:!0}):e[t]=a,e}function s(e,t){var a=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),a.push.apply(a,n)}return a}function i(e){for(var t=1;t=0||(r[a]=e[a]);return r}(e,t);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,a)&&(r[a]=e[a])}return r}var o=n.createContext({}),m=function(e){var t=n.useContext(o),a=t;return e&&(a="function"==typeof e?e(t):i(i({},t),e)),a},h=function(e){var t=m(e.components);return n.createElement(o.Provider,{value:t},e.children)},c="mdxType",d={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},p=n.forwardRef((function(e,t){var a=e.components,r=e.mdxType,s=e.originalType,o=e.parentName,h=l(e,["components","mdxType","originalType","parentName"]),c=m(a),p=r,k=c["".concat(o,".").concat(p)]||c[p]||d[p]||s;return a?n.createElement(k,i(i({ref:t},h),{},{components:a})):n.createElement(k,i({ref:t},h))}));function k(e,t){var a=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var s=a.length,i=new Array(s);i[0]=p;var l={};for(var o in t)hasOwnProperty.call(t,o)&&(l[o]=t[o]);l.originalType=e,l[c]="string"==typeof e?e:r,i[1]=l;for(var m=2;m{a.r(t),a.d(t,{assets:()=>V,contentTitle:()=>x,default:()=>W,frontMatter:()=>O,metadata:()=>U,toc:()=>M});var n=a(7462),r=a(7294),s=a(3905),i=a(6010),l=a(2466),o=a(6550),m=a(1980),h=a(7392),c=a(12);function d(e){return function(e){return r.Children.map(e,(e=>{if(!e||(0,r.isValidElement)(e)&&function(e){const{props:t}=e;return!!t&&"object"==typeof t&&"value"in t}(e))return e;throw new Error(`Docusaurus error: Bad child <${"string"==typeof e.type?e.type:e.type.name}>: all children of the component should be , and every should have a unique "value" prop.`)}))?.filter(Boolean)??[]}(e).map((e=>{let{props:{value:t,label:a,attributes:n,default:r}}=e;return{value:t,label:a,attributes:n,default:r}}))}function p(e){const{values:t,children:a}=e;return(0,r.useMemo)((()=>{const e=t??d(a);return function(e){const t=(0,h.l)(e,((e,t)=>e.value===t.value));if(t.length>0)throw new Error(`Docusaurus error: Duplicate values "${t.map((e=>e.value)).join(", ")}" found in . Every value needs to be unique.`)}(e),e}),[t,a])}function k(e){let{value:t,tabValues:a}=e;return a.some((e=>e.value===t))}function g(e){let{queryString:t=!1,groupId:a}=e;const n=(0,o.k6)(),s=function(e){let{queryString:t=!1,groupId:a}=e;if("string"==typeof t)return t;if(!1===t)return null;if(!0===t&&!a)throw new Error('Docusaurus error: The component groupId prop is required if queryString=true, because this value is used as the search param name. You can also provide an explicit value such as queryString="my-search-param".');return a??null}({queryString:t,groupId:a});return[(0,m._X)(s),(0,r.useCallback)((e=>{if(!s)return;const t=new URLSearchParams(n.location.search);t.set(s,e),n.replace({...n.location,search:t.toString()})}),[s,n])]}function u(e){const{defaultValue:t,queryString:a=!1,groupId:n}=e,s=p(e),[i,l]=(0,r.useState)((()=>function(e){let{defaultValue:t,tabValues:a}=e;if(0===a.length)throw new Error("Docusaurus error: the component requires at least one children component");if(t){if(!k({value:t,tabValues:a}))throw new Error(`Docusaurus error: The has a defaultValue "${t}" but none of its children has the corresponding value. Available values are: ${a.map((e=>e.value)).join(", ")}. If you intend to show no default tab, use defaultValue={null} instead.`);return t}const n=a.find((e=>e.default))??a[0];if(!n)throw new Error("Unexpected error: 0 tabValues");return n.value}({defaultValue:t,tabValues:s}))),[o,m]=g({queryString:a,groupId:n}),[h,d]=function(e){let{groupId:t}=e;const a=function(e){return e?`docusaurus.tab.${e}`:null}(t),[n,s]=(0,c.Nk)(a);return[n,(0,r.useCallback)((e=>{a&&s.set(e)}),[a,s])]}({groupId:n}),u=(()=>{const e=o??h;return k({value:e,tabValues:s})?e:null})();(0,r.useLayoutEffect)((()=>{u&&l(u)}),[u]);return{selectedValue:i,selectValue:(0,r.useCallback)((e=>{if(!k({value:e,tabValues:s}))throw new Error(`Can't select invalid tab value=${e}`);l(e),m(e),d(e)}),[m,d,s]),tabValues:s}}var b=a(2389);const N={tabList:"tabList__CuJ",tabItem:"tabItem_LNqP"};function y(e){let{className:t,block:a,selectedValue:s,selectValue:o,tabValues:m}=e;const h=[],{blockElementScrollPositionUntilNextRender:c}=(0,l.o5)(),d=e=>{const t=e.currentTarget,a=h.indexOf(t),n=m[a].value;n!==s&&(c(t),o(n))},p=e=>{let t=null;switch(e.key){case"Enter":d(e);break;case"ArrowRight":{const a=h.indexOf(e.currentTarget)+1;t=h[a]??h[0];break}case"ArrowLeft":{const a=h.indexOf(e.currentTarget)-1;t=h[a]??h[h.length-1];break}}t?.focus()};return r.createElement("ul",{role:"tablist","aria-orientation":"horizontal",className:(0,i.Z)("tabs",{"tabs--block":a},t)},m.map((e=>{let{value:t,label:a,attributes:l}=e;return r.createElement("li",(0,n.Z)({role:"tab",tabIndex:s===t?0:-1,"aria-selected":s===t,key:t,ref:e=>h.push(e),onKeyDown:p,onClick:d},l,{className:(0,i.Z)("tabs__item",N.tabItem,l?.className,{"tabs__item--active":s===t})}),a??t)})))}function f(e){let{lazy:t,children:a,selectedValue:n}=e;const s=(Array.isArray(a)?a:[a]).filter(Boolean);if(t){const e=s.find((e=>e.props.value===n));return e?(0,r.cloneElement)(e,{className:"margin-top--md"}):null}return r.createElement("div",{className:"margin-top--md"},s.map(((e,t)=>(0,r.cloneElement)(e,{key:t,hidden:e.props.value!==n}))))}function R(e){const t=u(e);return r.createElement("div",{className:(0,i.Z)("tabs-container",N.tabList)},r.createElement(y,(0,n.Z)({},e,t)),r.createElement(f,(0,n.Z)({},e,t)))}function w(e){const t=(0,b.Z)();return r.createElement(R,(0,n.Z)({key:String(t)},e))}const Z={tabItem:"tabItem_Ymn6"};function v(e){let{children:t,hidden:a,className:n}=e;return r.createElement("div",{role:"tabpanel",className:(0,i.Z)(Z.tabItem,n),hidden:a},t)}const O={id:"rules",title:"On the rules of the red-black tree",description:"Shower thoughts on the rules of the red-black tree.\n",tags:["red-black trees","balanced trees"],last_update:{date:new Date("2023-06-10T00:00:00.000Z")}},x=void 0,U={unversionedId:"rb-trees/rules",id:"rb-trees/rules",title:"On the rules of the red-black tree",description:"Shower thoughts on the rules of the red-black tree.\n",source:"@site/ib002/08-rb-trees/2023-06-10-rules.md",sourceDirName:"08-rb-trees",slug:"/rb-trees/rules",permalink:"/ib002/rb-trees/rules",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/08-rb-trees/2023-06-10-rules.md",tags:[{label:"red-black trees",permalink:"/ib002/tags/red-black-trees"},{label:"balanced trees",permalink:"/ib002/tags/balanced-trees"}],version:"current",lastUpdatedAt:1686355200,formattedLastUpdatedAt:"Jun 10, 2023",frontMatter:{id:"rules",title:"On the rules of the red-black tree",description:"Shower thoughts on the rules of the red-black tree.\n",tags:["red-black trees","balanced trees"],last_update:{date:"2023-06-10T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Pou\u017eit\xed \u010derveno-\u010dern\xfdch strom\u016f",permalink:"/ib002/rb-trees/applications"},next:{title:"Graphs",permalink:"/ib002/category/graphs"}},V={},M=[{value:"Introduction",id:"introduction",level:2},{value:"1\xaa Every node is either red or black.",id:"1\xaa-every-node-is-either-red-or-black",level:2},{value:"Do I really need the nodes to be explicitly colored?",id:"do-i-really-need-the-nodes-to-be-explicitly-colored",level:3},{value:"Black height",id:"black-height",level:4},{value:"Isomorphic trees",id:"isomorphic-trees",level:4},{value:"2\xaa The root is black.",id:"2\xaa-the-root-is-black",level:2},{value:"3\xaa Every leaf (nil) is black.",id:"3\xaa-every-leaf-nil-is-black",level:2},{value:"4\xaa If a node is red, then both its children are black.",id:"4\xaa-if-a-node-is-red-then-both-its-children-are-black",level:2},{value:"5\xaa For each node, all simple paths from the node to descendant leaves contain the same number of black nodes.",id:"5\xaa-for-each-node-all-simple-paths-from-the-node-to-descendant-leaves-contain-the-same-number-of-black-nodes",level:2}],j={toc:M},E="wrapper";function W(e){let{components:t,...r}=e;return(0,s.kt)(E,(0,n.Z)({},j,r,{components:t,mdxType:"MDXLayout"}),(0,s.kt)("h2",{id:"introduction"},"Introduction"),(0,s.kt)("p",null,"Have you ever thought about the red-black tree rules in more depth? Why are they\nformulated the way they are? How come they keep the tree balanced? Let's go through\neach of the red-black tree rules and try to change, break and contemplate about\nthem."),(0,s.kt)("p",null,"We expect that you are familiar with the following set of the rules",(0,s.kt)("sup",{parentName:"p",id:"fnref-1"},(0,s.kt)("a",{parentName:"sup",href:"#fn-1",className:"footnote-ref"},"1")),":"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"Every node is either red or black."),(0,s.kt)("li",{parentName:"ol"},"The root is black."),(0,s.kt)("li",{parentName:"ol"},"Every leaf (",(0,s.kt)("inlineCode",{parentName:"li"},"nil"),") is black."),(0,s.kt)("li",{parentName:"ol"},"If a node is red, then both its children are black."),(0,s.kt)("li",{parentName:"ol"},"For each node, all simple paths from the node to descendant leaves contain the\nsame number of black nodes.")),(0,s.kt)("p",null,"Each section will go into ",(0,s.kt)("em",{parentName:"p"},"reasonable")," details of each rule."),(0,s.kt)("h2",{id:"1\xaa-every-node-is-either-red-or-black"},"1\xaa Every node is either red or black."),(0,s.kt)("p",null,"OK\u2026 This one is very simple. It is just a definition and is used in all other\nrules. Not much to talk about here. Or is there?"),(0,s.kt)("h3",{id:"do-i-really-need-the-nodes-to-be-explicitly-colored"},"Do I really need the nodes to be explicitly colored?"),(0,s.kt)("p",null,"The answer is no. Balancing of the red-black trees is \u201cenforced\u201d by the 4th and\n5th rule in the enumeration above. There are many ways you can avoid using colors."),(0,s.kt)("h4",{id:"black-height"},"Black height"),(0,s.kt)("p",null,"We mentioned the 4th and 5th rule and that it enforces the balancing. What does\nit mean for us?"),(0,s.kt)("p",null,"Well, we definitely do not have to use the colors, which even as a ",(0,s.kt)("em",{parentName:"p"},"boolean")," flag\nwould take at least 1 byte of space (and usually even more), cause\u2026 well, it is\neasier for the CPU to work with words rather than single bits."),(0,s.kt)("p",null,"We could use the black height, couldn't we? It would mean more memory used, cause\nit should be ideally big and unsigned. Can we tell the color of a node from the\nblack height? Of course we can, if my child has the same black height as I do,\nit means that there was no black node added on the path between us and therefore\nmy child would be colored red."),(0,s.kt)("p",null,"Example of a red-black tree that keeps count of black nodes on paths to the\nleaves follows:"),(0,s.kt)("p",null,(0,s.kt)("img",{alt:"Red-black tree with black height",src:a(5021).Z+"#gh-light-mode-only",width:"923",height:"539"}),"\n",(0,s.kt)("img",{alt:"Red-black tree with black height",src:a(9493).Z+"#gh-dark-mode-only",width:"923",height:"539"})),(0,s.kt)("p",null,"We mark the ",(0,s.kt)("em",{parentName:"p"},"black heights")," in superscript. You can see that all leaves have the\nblack height equal to ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"1")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"1"))))),". Let's take a look at some of the interesting cases:"),(0,s.kt)("ul",null,(0,s.kt)("li",{parentName:"ul"},(0,s.kt)("p",{parentName:"li"},"If we take a look at the node with ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mtext",{parentName:"mrow"},"key"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"9")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{key} = 9")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},"key")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"9"))))),", we can see that it is\ncoloured red and its black height is 1, because it is a leaf."),(0,s.kt)("p",{parentName:"li"},"Let's look at its parent (node with ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mtext",{parentName:"mrow"},"key"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"8")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{key} = 8")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},"key")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"8"))))),"). On its left side it has\n",(0,s.kt)("inlineCode",{parentName:"p"},"nil")," and on its right side the ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"9")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"9")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"9"))))),". And its black height is still ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"1")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"1")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"1"))))),", cause\nexcept for the ",(0,s.kt)("inlineCode",{parentName:"p"},"nil")," leaves, there are no other black nodes."),(0,s.kt)("p",{parentName:"li"},"We can clearly see that if a node has the same black height as its parent, it\nis a red node.")),(0,s.kt)("li",{parentName:"ul"},(0,s.kt)("p",{parentName:"li"},"Now let's take a look at the root with ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mtext",{parentName:"mrow"},"key"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"3")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\text{key} = 3")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},"key")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"3"))))),". It has a black height\nof 3. Both of its children are black nodes and have black height of 2."),(0,s.kt)("p",{parentName:"li"},"We can see that if a node has its height 1 lower than its parent, it is a black\nnode."),(0,s.kt)("p",{parentName:"li"},"The reasoning behind it is rather simple, we count the black nodes all the way\nto the leaves, therefore if my parent has a higher black height, it means that\non the path from me to my parent there is a black node, but the only node added\nis me, therefore I must be black."))),(0,s.kt)("h4",{id:"isomorphic-trees"},"Isomorphic trees"),(0,s.kt)("p",null,"One of the other ways to avoid using color is storing the red-black tree in some\nisomorphic tree. The structure of 2-3-4 tree allows us to avoid using the color\ncompletely. This is a bit different approach, cause we would be basically using\ndifferent tree, so we keep this note in just as a \u201chack\u201d."),(0,s.kt)("h2",{id:"2\xaa-the-root-is-black"},"2\xaa The root is black."),(0,s.kt)("p",null,"This rule might seem like a very important one, but overall is not. You can safely\nomit this rule, but you also need to deal with the consequences."),(0,s.kt)("p",null,"Let's refresh our memory with the algorithm of ",(0,s.kt)("em",{parentName:"p"},"insert fixup"),":"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"},"WHILE z.p.color == Red\n IF z.p == z.p.p.left\n y = z.p.p.right\n\n IF y.color == Red\n z.p.color = Black\n y.color = Black\n z.p.p.color = Red\n z = z.p.p\n ELSE\n IF z == z.p.right\n z = z.p\n Left-Rotate(T, z)\n z.p.color = Black\n z.p.p.color = Red\n Right-Rotate(T, z.p.p)\n ELSE (same as above with \u201cright\u201d and \u201cleft\u201d exchanged)\n\nT.root.color = Black\n")),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"If you have tried to implement any of the more complex data structures, such as\nred-black trees, etc., in a statically typed language that also checks you for\n",(0,s.kt)("inlineCode",{parentName:"p"},"NULL"),"-correctness (e.g. ",(0,s.kt)("em",{parentName:"p"},"mypy")," or even C# with nullable reference types), you\nmight have run into numerous issues in the cases where you are 100% sure that you\ncannot obtain ",(0,s.kt)("inlineCode",{parentName:"p"},"NULL")," because of the invariants, but the static type checking\ndoesn't know that."),(0,s.kt)("p",{parentName:"admonition"},"The issue we hit with the ",(0,s.kt)("em",{parentName:"p"},"insert fixup")," is very similar.")),(0,s.kt)("p",null,"You might not realize the issue at the first sight, but the algorithm described\nwith the pseudocode above expects that the root of the red-black tree is black by\nboth relying on the invariant in the algorithm and afterwards by enforcing the\nblack root property."),(0,s.kt)("p",null,"If we decide to omit this condition, we need to address it in the pseudocodes\naccordingly."),(0,s.kt)("table",null,(0,s.kt)("thead",{parentName:"table"},(0,s.kt)("tr",{parentName:"thead"},(0,s.kt)("th",{parentName:"tr",align:"center"},"Usual algorithm with black root"),(0,s.kt)("th",{parentName:"tr",align:"center"},"Allowing red root"))),(0,s.kt)("tbody",{parentName:"table"},(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"1\xaa insertion",src:a(3416).Z+"#gh-light-mode-only",width:"179",height:"155"}),(0,s.kt)("img",{alt:"1\xaa insertion",src:a(4522).Z+"#gh-dark-mode-only",width:"179",height:"155"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"1\xaa insertion",src:a(477).Z+"#gh-light-mode-only",width:"179",height:"155"}),(0,s.kt)("img",{alt:"1\xaa insertion",src:a(8125).Z+"#gh-dark-mode-only",width:"179",height:"155"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"2\xaa insertion",src:a(6850).Z+"#gh-light-mode-only",width:"227",height:"251"}),(0,s.kt)("img",{alt:"2\xaa insertion",src:a(8983).Z+"#gh-dark-mode-only",width:"227",height:"251"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"2\xaa insertion",src:a(446).Z+"#gh-light-mode-only",width:"227",height:"251"}),(0,s.kt)("img",{alt:"2\xaa insertion",src:a(9905).Z+"#gh-dark-mode-only",width:"227",height:"251"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"3\xaa insertion",src:a(9657).Z+"#gh-light-mode-only",width:"371",height:"251"}),(0,s.kt)("img",{alt:"3\xaa insertion",src:a(9296).Z+"#gh-dark-mode-only",width:"371",height:"251"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"3\xaa insertion",src:a(841).Z+"#gh-light-mode-only",width:"371",height:"251"}),(0,s.kt)("img",{alt:"3\xaa insertion",src:a(7659).Z+"#gh-dark-mode-only",width:"371",height:"251"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"4\xaa insertion",src:a(515).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,s.kt)("img",{alt:"4\xaa insertion",src:a(9123).Z+"#gh-dark-mode-only",width:"419",height:"347"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"4\xaa insertion",src:a(2658).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,s.kt)("img",{alt:"4\xaa insertion",src:a(2979).Z+"#gh-dark-mode-only",width:"419",height:"347"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"5\xaa insertion",src:a(8747).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,s.kt)("img",{alt:"5\xaa insertion",src:a(7518).Z+"#gh-dark-mode-only",width:"419",height:"347"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"5\xaa insertion",src:a(2014).Z+"#gh-light-mode-only",width:"419",height:"347"}),(0,s.kt)("img",{alt:"5\xaa insertion",src:a(5959).Z+"#gh-dark-mode-only",width:"419",height:"347"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"6\xaa insertion",src:a(8317).Z+"#gh-light-mode-only",width:"563",height:"347"}),(0,s.kt)("img",{alt:"6\xaa insertion",src:a(2193).Z+"#gh-dark-mode-only",width:"563",height:"347"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"6\xaa insertion",src:a(162).Z+"#gh-light-mode-only",width:"563",height:"347"}),(0,s.kt)("img",{alt:"6\xaa insertion",src:a(1105).Z+"#gh-dark-mode-only",width:"563",height:"347"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"7\xaa insertion",src:a(8204).Z+"#gh-light-mode-only",width:"563",height:"443"}),(0,s.kt)("img",{alt:"7\xaa insertion",src:a(6986).Z+"#gh-dark-mode-only",width:"563",height:"443"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"7\xaa insertion",src:a(355).Z+"#gh-light-mode-only",width:"563",height:"443"}),(0,s.kt)("img",{alt:"7\xaa insertion",src:a(4300).Z+"#gh-dark-mode-only",width:"563",height:"443"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"8\xaa insertion",src:a(345).Z+"#gh-light-mode-only",width:"635",height:"443"}),(0,s.kt)("img",{alt:"8\xaa insertion",src:a(1988).Z+"#gh-dark-mode-only",width:"635",height:"443"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"8\xaa insertion",src:a(2530).Z+"#gh-light-mode-only",width:"635",height:"443"}),(0,s.kt)("img",{alt:"8\xaa insertion",src:a(363).Z+"#gh-dark-mode-only",width:"635",height:"443"}))),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"9\xaa insertion",src:a(6464).Z+"#gh-light-mode-only",width:"755",height:"443"}),(0,s.kt)("img",{alt:"9\xaa insertion",src:a(437).Z+"#gh-dark-mode-only",width:"755",height:"443"})),(0,s.kt)("td",{parentName:"tr",align:"center"},(0,s.kt)("img",{alt:"9\xaa insertion",src:a(6039).Z+"#gh-light-mode-only",width:"755",height:"443"}),(0,s.kt)("img",{alt:"9\xaa insertion",src:a(3122).Z+"#gh-dark-mode-only",width:"755",height:"443"}))))),(0,s.kt)("h2",{id:"3\xaa-every-leaf-nil-is-black"},"3\xaa Every leaf (",(0,s.kt)("inlineCode",{parentName:"h2"},"nil"),") is black."),(0,s.kt)("p",null,"Now, this rule is a funny one. What does this imply and can I interpret this in\nsome other way? Let's go through some of the possible ways I can look at this and\nhow would they affect the other rules and balancing."),(0,s.kt)("p",null,"We will experiment with the following tree:\n",(0,s.kt)("img",{src:a(6769).Z+"#gh-light-mode-only",width:"899",height:"539"}),"\n",(0,s.kt)("img",{src:a(4086).Z+"#gh-dark-mode-only",width:"899",height:"539"})),(0,s.kt)("p",null,"We should start by counting the black nodes from root to the ",(0,s.kt)("inlineCode",{parentName:"p"},"nil")," leaves based\non the rules. We have multiple similar paths, so we will pick only the interesting\nones."),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"What happens if we do not count the ",(0,s.kt)("inlineCode",{parentName:"li"},"nil")," leaves?"),(0,s.kt)("li",{parentName:"ol"},"What happens if we consider leaves the nodes with ",(0,s.kt)("em",{parentName:"li"},"no descendants"),", i.e. both\nof node's children are ",(0,s.kt)("inlineCode",{parentName:"li"},"nil"),"?"),(0,s.kt)("li",{parentName:"ol"},"What happens if we do not count the ",(0,s.kt)("inlineCode",{parentName:"li"},"nil")," leaves, but consider nodes with at\nleast one ",(0,s.kt)("inlineCode",{parentName:"li"},"nil")," descendant as leaves?")),(0,s.kt)("table",null,(0,s.kt)("thead",{parentName:"table"},(0,s.kt)("tr",{parentName:"thead"},(0,s.kt)("th",{parentName:"tr",align:"right"},"path"),(0,s.kt)("th",{parentName:"tr",align:"right"},"black nodes"),(0,s.kt)("th",{parentName:"tr",align:"right"},"1\xaa idea"),(0,s.kt)("th",{parentName:"tr",align:"right"},"2\xaa idea"),(0,s.kt)("th",{parentName:"tr",align:"right"},"3\xaa idea"))),(0,s.kt)("tbody",{parentName:"table"},(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"right"},(0,s.kt)("inlineCode",{parentName:"td"},"3 \u2192 1 \u2192 0 \u2192 nil")),(0,s.kt)("td",{parentName:"tr",align:"right"},"4"),(0,s.kt)("td",{parentName:"tr",align:"right"},"3"),(0,s.kt)("td",{parentName:"tr",align:"right"},"4"),(0,s.kt)("td",{parentName:"tr",align:"right"},"3")),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"right"},(0,s.kt)("inlineCode",{parentName:"td"},"3 \u2192 5 \u2192 7 \u2192 8 \u2192 nil")),(0,s.kt)("td",{parentName:"tr",align:"right"},"4"),(0,s.kt)("td",{parentName:"tr",align:"right"},"3"),(0,s.kt)("td",{parentName:"tr",align:"right"},"-"),(0,s.kt)("td",{parentName:"tr",align:"right"},"3")),(0,s.kt)("tr",{parentName:"tbody"},(0,s.kt)("td",{parentName:"tr",align:"right"},(0,s.kt)("inlineCode",{parentName:"td"},"3 \u2192 5 \u2192 7 \u2192 8 \u2192 9 \u2192 nil")),(0,s.kt)("td",{parentName:"tr",align:"right"},"4"),(0,s.kt)("td",{parentName:"tr",align:"right"},"3"),(0,s.kt)("td",{parentName:"tr",align:"right"},"4"),(0,s.kt)("td",{parentName:"tr",align:"right"},"3")))),(0,s.kt)("p",null,"First idea is very easy to execute and it is also very easy to argue about its\ncorrectness. It is correct, because we just subtract one from each of the paths.\nThis affects ",(0,s.kt)("strong",{parentName:"p"},"all")," paths and therefore results in global decrease by one."),(0,s.kt)("p",null,"Second idea is a bit more complicated. We count the ",(0,s.kt)("inlineCode",{parentName:"p"},"nil"),"s, so the count is ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"4")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"4")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"4"))))),"\nas it should be. However, there is one difference. Second path no longer satisfies\nthe condition of a ",(0,s.kt)("em",{parentName:"p"},"leaf"),". Technically it relaxes the 5th rule, because we leave\nout some of the nodes. We should probably avoid that."),(0,s.kt)("admonition",{type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"With the second idea, you may also feel that we are \u201cbending\u201d the rules a bit,\nespecially the definition of the \u201cleaf\u201d nodes."),(0,s.kt)("p",{parentName:"admonition"},"Given the definition of the red-black tree, where ",(0,s.kt)("inlineCode",{parentName:"p"},"nil")," is considered to be an\nexternal node, we have decided that bending it a bit just to stir a thought about\nit won't hurt anybody. \ud83d\ude09")),(0,s.kt)("h2",{id:"4\xaa-if-a-node-is-red-then-both-its-children-are-black"},"4\xaa If a node is red, then both its children are black."),(0,s.kt)("p",null,"This rule might seem rather silly on the first look, but there are 2 important\nfunctions:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"it allows the algorithms to ",(0,s.kt)("em",{parentName:"li"},"\u201cnotice\u201d")," that something went wrong (i.e. the\ntree needs to be rebalanced), and"),(0,s.kt)("li",{parentName:"ol"},"it holds the balancing and height of the tree ",(0,s.kt)("em",{parentName:"li"},"\u201cin check\u201d")," (with the help of\nthe 5th rule).")),(0,s.kt)("p",null,"When we have a look at the algorithms that are used for fixing up the red-black\ntree after an insertion or deletion, we will notice that all the algorithms need\nis the color of the node. "),(0,s.kt)("blockquote",null,(0,s.kt)("p",{parentName:"blockquote"},"How come it is the only thing that we need?\nHow come such na\xefve thing can be enough?")),(0,s.kt)("p",null,"Let's say we perform an insertion into the tree\u2026 We go with the usual and pretty\nprimitive insertion into the binary-search tree and then, if needed, we \u201cfix up\u201d\nbroken invariants. ",(0,s.kt)("em",{parentName:"p"},"How can that be enough?")," With each insertion and deletion we\nmaintain the invariants, therefore if we break them with one operation, there's\nonly one path on which the invariants were ",(0,s.kt)("em",{parentName:"p"},"felled"),". If we know that rest of the\ntree is correct, it allows us to fix the issues just by propagating it to the\nroot and ",(0,s.kt)("em",{parentName:"p"},"abusing")," the siblings (which are, of course, correct red-black\nsubtrees) to fix or at least partially mitigate the issues and propagate them\nfurther."),(0,s.kt)("p",null,"Let's assume that we do not enforce this rule, you can see how it breaks the\nbalancing of the tree below."),(0,s.kt)(w,{mdxType:"Tabs"},(0,s.kt)(v,{value:"enforcing",label:"Enforcing this rule",mdxType:"TabItem"},(0,s.kt)("p",null,(0,s.kt)("img",{src:a(772).Z+"#gh-light-mode-only",width:"755",height:"347"}),"\n",(0,s.kt)("img",{src:a(8663).Z+"#gh-dark-mode-only",width:"755",height:"347"}))),(0,s.kt)(v,{value:"omitting",label:"Omitting this rule",mdxType:"TabItem"},(0,s.kt)("p",null,(0,s.kt)("img",{src:a(4130).Z+"#gh-light-mode-only",width:"803",height:"443"}),"\n",(0,s.kt)("img",{src:a(2683).Z+"#gh-dark-mode-only",width:"803",height:"443"})))),(0,s.kt)("p",null,"We can create a ",(0,s.kt)("strong",{parentName:"p"},"big")," subtree with only red nodes and ",(0,s.kt)("strong",{parentName:"p"},"even")," when keeping\nthe rest of the rules maintained, it will break the time complexity. It stops us\nfrom \u201chacking\u201d the black height requirement laid by the 5th rule."),(0,s.kt)("h2",{id:"5\xaa-for-each-node-all-simple-paths-from-the-node-to-descendant-leaves-contain-the-same-number-of-black-nodes"},"5\xaa For each node, all simple paths from the node to descendant leaves contain the same number of black nodes."),(0,s.kt)("p",null,"As it was mentioned, with the 4th rule they hold the balancing of the red-black\ntree."),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"An important observation here is the fact that the red-black tree is a\n",(0,s.kt)("strong",{parentName:"p"},"height"),"-balanced tree.")),(0,s.kt)("p",null,"Enforcing this rule (together with the 4th rule) keeps the tree balanced:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"4th rule makes sure we can't \u201chack\u201d this requirement."),(0,s.kt)("li",{parentName:"ol"},"This rule ensures that we have \u201csimilar\u201d",(0,s.kt)("sup",{parentName:"li",id:"fnref-2"},(0,s.kt)("a",{parentName:"sup",href:"#fn-2",className:"footnote-ref"},"2"))," length to each of the leaves.")),(0,s.kt)("admonition",{title:"AVL tree",type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"You might have heard about an ",(0,s.kt)("em",{parentName:"p"},"AVL tree")," before. It is the first self-balanced\ntree to be ever introduced and works in a very similar nature as the red-black\ntree, the only difference is that it does not deal with the ",(0,s.kt)("em",{parentName:"p"},"black height"),", but\nthe height in general."),(0,s.kt)("p",{parentName:"admonition"},"If you were to compare AVL with the red-black tree, you can say that AVL is much\nmore strict while red-black tree can still maintain the same asymptotic time\ncomplexity for the operations, but having more relaxed rules.")),(0,s.kt)("div",{className:"footnotes"},(0,s.kt)("hr",{parentName:"div"}),(0,s.kt)("ol",{parentName:"div"},(0,s.kt)("li",{parentName:"ol",id:"fn-1"},"CORMEN, Thomas. Introduction to algorithms. Cambridge, Mass: MIT Press, 2009. isbn 9780262033848.",(0,s.kt)("a",{parentName:"li",href:"#fnref-1",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-2"},"red nodes still exist",(0,s.kt)("a",{parentName:"li",href:"#fnref-2",className:"footnote-backref"},"\u21a9")))))}W.isMDXComponent=!0},4086:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rb_dark-c025d61dee7913262c86277087751328.png"},9493:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rb_height_dark-75a70ddff74e5e1aff7e9986221b5687.png"},5021:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rb_height_light-36fa69317ced094d7bb7b0fdf32cb3fe.png"},6769:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rb_light-f53bee3b32ddb2e7a4249828bc03b1a4.png"},8663:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/correct_dark-bbd8d4c1796b145025fed5b6dff03b84.png"},772:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/correct_light-bc4770146072f748be4a5aa11abf3a0c.png"},2683:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/incorrect_dark-9b8b3be328ffad83233de4536c120016.png"},4130:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/incorrect_light-e787e568e9a1528dcac5bf55ef29fdaa.png"},4522:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},3416:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},8983:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},6850:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},9296:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_2_dark-e8c35bc37b250271cf480f71904c15a7.png"},9657:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png"},9123:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_3_dark-a2b8248c182059b67c703f75f58f3784.png"},515:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_3_light-7be3bbcb08f8b7182a1c719693a47615.png"},7518:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_4_dark-eddf4c315becc51f89b0967320f132d8.png"},8747:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_4_light-d72dfa633794ec97eddce8e3a4b02660.png"},2193:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_5_dark-e24da2d7a3fb2ee63ac8e1ea9c2d45a8.png"},8317:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_5_light-efb3568bf4aadb19a9dcc57e748f89d8.png"},6986:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_6_dark-160fd071a93e279a5339c7976745f8b1.png"},8204:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_6_light-b090675f7b30b574af44d667b083e9b7.png"},1988:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_7_dark-35ede8f297484f4305ea7fd23cbddc49.png"},345:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_7_light-018e13c41ce1fc6257c4c65748aaae27.png"},437:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png"},6464:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/br_8_light-81ac4c8a3988bd43c66f563cd4799d61.png"},8125:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},477:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},9905:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},446:(e,t,a)=>{a.d(t,{Z:()=>n});const n="data:image/png;base64,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"},7659:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_2_dark-e8c35bc37b250271cf480f71904c15a7.png"},841:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_2_light-5e6a1d53e559a30e5fb86ee019229bbd.png"},2979:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_3_dark-4e8b2ca938738395e438b7fc2fc5dfe4.png"},2658:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_3_light-51521ba414ff3a3530ed0109cfab799d.png"},5959:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_4_dark-3cc1c8d4b39707d2a51b51f4f1b29dc8.png"},2014:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_4_light-631a0b3947be21a12b3a489f0cd0c3c4.png"},1105:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_5_dark-9028cc10e78c05cb669d5d438dcbf93f.png"},162:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_5_light-6b8f80047906eb1f58472d231eb9b12a.png"},4300:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_6_dark-160fd071a93e279a5339c7976745f8b1.png"},355:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_6_light-b090675f7b30b574af44d667b083e9b7.png"},363:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_7_dark-35ede8f297484f4305ea7fd23cbddc49.png"},2530:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_7_light-018e13c41ce1fc6257c4c65748aaae27.png"},3122:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_8_dark-b0f871ab182d06edb5c29bb490ad70bc.png"},6039:(e,t,a)=>{a.d(t,{Z:()=>n});const n=a.p+"assets/images/rr_8_light-81ac4c8a3988bd43c66f563cd4799d61.png"}}]); \ No newline at end of file diff --git a/assets/js/4ee12fa2.bd3f9667.js b/assets/js/4ee12fa2.4760eccc.js similarity index 97% rename from assets/js/4ee12fa2.bd3f9667.js rename to assets/js/4ee12fa2.4760eccc.js index 89da5d6..b22301f 100644 --- a/assets/js/4ee12fa2.bd3f9667.js +++ b/assets/js/4ee12fa2.4760eccc.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[7963],{3905:(e,t,r)=>{r.d(t,{Zo:()=>u,kt:()=>m});var n=r(7294);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function a(e){for(var t=1;t=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var p=n.createContext({}),l=function(e){var t=n.useContext(p),r=t;return e&&(r="function"==typeof e?e(t):a(a({},t),e)),r},u=function(e){var t=l(e.components);return n.createElement(p.Provider,{value:t},e.children)},s="mdxType",f={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},d=n.forwardRef((function(e,t){var r=e.components,o=e.mdxType,i=e.originalType,p=e.parentName,u=c(e,["components","mdxType","originalType","parentName"]),s=l(r),d=o,m=s["".concat(p,".").concat(d)]||s[d]||f[d]||i;return r?n.createElement(m,a(a({ref:t},u),{},{components:r})):n.createElement(m,a({ref:t},u))}));function m(e,t){var r=arguments,o=t&&t.mdxType;if("string"==typeof e||o){var i=r.length,a=new Array(i);a[0]=d;var c={};for(var p in t)hasOwnProperty.call(t,p)&&(c[p]=t[p]);c.originalType=e,c[s]="string"==typeof e?e:o,a[1]=c;for(var l=2;l{r.r(t),r.d(t,{assets:()=>p,contentTitle:()=>a,default:()=>f,frontMatter:()=>i,metadata:()=>c,toc:()=>l});var n=r(7462),o=(r(7294),r(3905));const i={id:"pb161-intro",title:"Introduction",slug:"/"},a=void 0,c={unversionedId:"pb161-intro",id:"pb161-intro",title:"Introduction",description:"",source:"@site/pb161/00-intro-pb161.md",sourceDirName:".",slug:"/",permalink:"/pb161/",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb161/00-intro-pb161.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",sidebarPosition:0,frontMatter:{id:"pb161-intro",title:"Introduction",slug:"/"},sidebar:"autogeneratedBar",next:{title:"Environment",permalink:"/pb161/environment"}},p={},l=[],u={toc:l},s="wrapper";function f(e){let{components:t,...r}=e;return(0,o.kt)(s,(0,n.Z)({},u,r,{components:t,mdxType:"MDXLayout"}))}f.isMDXComponent=!0}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[7963],{3905:(e,t,r)=>{r.d(t,{Zo:()=>u,kt:()=>m});var n=r(7294);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function i(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function a(e){for(var t=1;t=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var p=n.createContext({}),l=function(e){var t=n.useContext(p),r=t;return e&&(r="function"==typeof e?e(t):a(a({},t),e)),r},u=function(e){var t=l(e.components);return n.createElement(p.Provider,{value:t},e.children)},s="mdxType",f={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},d=n.forwardRef((function(e,t){var r=e.components,o=e.mdxType,i=e.originalType,p=e.parentName,u=c(e,["components","mdxType","originalType","parentName"]),s=l(r),d=o,m=s["".concat(p,".").concat(d)]||s[d]||f[d]||i;return r?n.createElement(m,a(a({ref:t},u),{},{components:r})):n.createElement(m,a({ref:t},u))}));function m(e,t){var r=arguments,o=t&&t.mdxType;if("string"==typeof e||o){var i=r.length,a=new Array(i);a[0]=d;var c={};for(var p in t)hasOwnProperty.call(t,p)&&(c[p]=t[p]);c.originalType=e,c[s]="string"==typeof e?e:o,a[1]=c;for(var l=2;l{r.r(t),r.d(t,{assets:()=>p,contentTitle:()=>a,default:()=>f,frontMatter:()=>i,metadata:()=>c,toc:()=>l});var n=r(7462),o=(r(7294),r(3905));const i={id:"pb161-intro",title:"Introduction",slug:"/"},a=void 0,c={unversionedId:"pb161-intro",id:"pb161-intro",title:"Introduction",description:"",source:"@site/pb161/00-intro-pb161.md",sourceDirName:".",slug:"/",permalink:"/pb161/",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb161/00-intro-pb161.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",sidebarPosition:0,frontMatter:{id:"pb161-intro",title:"Introduction",slug:"/"},sidebar:"autogeneratedBar",next:{title:"Environment",permalink:"/pb161/environment"}},p={},l=[],u={toc:l},s="wrapper";function f(e){let{components:t,...r}=e;return(0,o.kt)(s,(0,n.Z)({},u,r,{components:t,mdxType:"MDXLayout"}))}f.isMDXComponent=!0}}]); \ No newline at end of file diff --git a/assets/js/788cc978.4f78c34d.js b/assets/js/788cc978.7cfa1cd4.js similarity index 98% rename from assets/js/788cc978.4f78c34d.js rename to assets/js/788cc978.7cfa1cd4.js index 56b6c68..ce2c9df 100644 --- a/assets/js/788cc978.4f78c34d.js +++ b/assets/js/788cc978.7cfa1cd4.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[9157],{3905:(e,a,t)=>{t.d(a,{Zo:()=>o,kt:()=>h});var n=t(7294);function m(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function s(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function r(e){for(var a=1;a=0||(m[t]=e[t]);return m}(e,a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(m[t]=e[t])}return m}var i=n.createContext({}),l=function(e){var a=n.useContext(i),t=a;return e&&(t="function"==typeof e?e(a):r(r({},a),e)),t},o=function(e){var a=l(e.components);return n.createElement(i.Provider,{value:a},e.children)},c="mdxType",N={inlineCode:"code",wrapper:function(e){var a=e.children;return n.createElement(n.Fragment,{},a)}},k=n.forwardRef((function(e,a){var t=e.components,m=e.mdxType,s=e.originalType,i=e.parentName,o=p(e,["components","mdxType","originalType","parentName"]),c=l(t),k=m,h=c["".concat(i,".").concat(k)]||c[k]||N[k]||s;return t?n.createElement(h,r(r({ref:a},o),{},{components:t})):n.createElement(h,r({ref:a},o))}));function h(e,a){var t=arguments,m=a&&a.mdxType;if("string"==typeof e||m){var s=t.length,r=new Array(s);r[0]=k;var p={};for(var i in a)hasOwnProperty.call(a,i)&&(p[i]=a[i]);p.originalType=e,p[c]="string"==typeof e?e:m,r[1]=p;for(var l=2;l{t.r(a),t.d(a,{assets:()=>i,contentTitle:()=>r,default:()=>N,frontMatter:()=>s,metadata:()=>p,toc:()=>l});var n=t(7462),m=(t(7294),t(3905));const s={id:"extend",title:"Time complexity of \u2039extend\u203a",description:"How to make inefficient algorithm unknowingly.\n",tags:["c","python","dynamic array","time complexity","recursion"],last_update:{date:new Date("2021-03-31T00:00:00.000Z")}},r=void 0,p={unversionedId:"time-complexity/extend",id:"time-complexity/extend",title:"Time complexity of \u2039extend\u203a",description:"How to make inefficient algorithm unknowingly.\n",source:"@site/ib002/03-time-complexity/2021-03-31-extend.md",sourceDirName:"03-time-complexity",slug:"/time-complexity/extend",permalink:"/ib002/time-complexity/extend",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/03-time-complexity/2021-03-31-extend.md",tags:[{label:"c",permalink:"/ib002/tags/c"},{label:"python",permalink:"/ib002/tags/python"},{label:"dynamic array",permalink:"/ib002/tags/dynamic-array"},{label:"time complexity",permalink:"/ib002/tags/time-complexity"},{label:"recursion",permalink:"/ib002/tags/recursion"}],version:"current",lastUpdatedAt:1617148800,formattedLastUpdatedAt:"Mar 31, 2021",frontMatter:{id:"extend",title:"Time complexity of \u2039extend\u203a",description:"How to make inefficient algorithm unknowingly.\n",tags:["c","python","dynamic array","time complexity","recursion"],last_update:{date:"2021-03-31T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Asymptotic Notation and Time Complexity",permalink:"/ib002/category/asymptotic-notation-and-time-complexity"},next:{title:"Recursion",permalink:"/ib002/category/recursion"}},i={},l=[{value:"Introduction",id:"introduction",level:2},{value:"Technicalities",id:"technicalities",level:2},{value:"Example #1",id:"example-1",level:2},{value:"Example #2",id:"example-2",level:2},{value:"Implementation of extend",id:"implementation-of-extend",level:2}],o={toc:l},c="wrapper";function N(e){let{components:a,...s}=e;return(0,m.kt)(c,(0,n.Z)({},o,s,{components:a,mdxType:"MDXLayout"}),(0,m.kt)("h2",{id:"introduction"},"Introduction"),(0,m.kt)("p",null,"Each year there is a lot of confusion regarding time complexity of the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," operation on the lists in Python. I will introduce two specific examples from previous year and also will try to explain it on one of the possible implementations of ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," operation."),(0,m.kt)("h2",{id:"technicalities"},"Technicalities"),(0,m.kt)("p",null,"At the beginning we should clear some of the \u201cmyths\u201d regarding extending of the lists. There is a common misunderstanding regarding differences between ",(0,m.kt)("inlineCode",{parentName:"p"},"a += b"),", ",(0,m.kt)("inlineCode",{parentName:"p"},"a.extend(b)")," and ",(0,m.kt)("inlineCode",{parentName:"p"},"a + b"),"."),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},(0,m.kt)("inlineCode",{parentName:"p"},"a.extend(b)")," - adds all elements from ",(0,m.kt)("inlineCode",{parentName:"p"},"b")," to ",(0,m.kt)("inlineCode",{parentName:"p"},"a"),"."),(0,m.kt)("p",{parentName:"li"},"Time complexity: ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," denotes the length of ",(0,m.kt)("inlineCode",{parentName:"p"},"b"),".")),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},(0,m.kt)("inlineCode",{parentName:"p"},"a += b")," - equivalent to ",(0,m.kt)("inlineCode",{parentName:"p"},"a.extend(b)"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},(0,m.kt)("inlineCode",{parentName:"p"},"a + b")," - constructs a new list that contains elements from ",(0,m.kt)("inlineCode",{parentName:"p"},"a")," followed by\nelements from ",(0,m.kt)("inlineCode",{parentName:"p"},"b"),"."),(0,m.kt)("p",{parentName:"li"},"Time complexity: ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow"},"+"),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(m + n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"m, n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," denote the length of\n",(0,m.kt)("inlineCode",{parentName:"p"},"a")," and ",(0,m.kt)("inlineCode",{parentName:"p"},"b")," respectively."),(0,m.kt)("p",{parentName:"li"},"Space complexity: ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow"},"+"),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(m + n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"m, n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," denote the length of\n",(0,m.kt)("inlineCode",{parentName:"p"},"a")," and ",(0,m.kt)("inlineCode",{parentName:"p"},"b")," respectively, since we construct new list."))),(0,m.kt)("h2",{id:"example-1"},"Example #1"),(0,m.kt)("p",null,"Let us assume function that uses divide & conquer strategy to return indices at which we can find specific element in any list."),(0,m.kt)("pre",null,(0,m.kt)("code",{parentName:"pre",className:"language-py",metastring:"showLineNumbers",showLineNumbers:!0},"def recursive_find_in_list(\n values: List[Any], key: Any, lower: int, upper: int\n) -> List[int]:\n if lower == upper:\n return [lower] if values[lower] == key else []\n\n indices = []\n mid = (lower + upper) // 2\n\n indices.extend(recursive_find_in_list(values, key, lower, mid))\n indices.extend(recursive_find_in_list(values, key, mid + 1, upper))\n\n return indices\n\n\ndef find_in_list(values: List[Any], key: Any) -> List[int]:\n return recursive_find_in_list(values, key, 0, len(values) - 1)\n")),(0,m.kt)("p",null,"This implementation works nicely, ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," is linear (with the respect to the length of the list that is being appended)."),(0,m.kt)("p",null,"Let us try to dissect the way this function works on some specific input (that will be pushed to the extreme, ",(0,m.kt)("em",{parentName:"p"},"just in case")," ;)"),(0,m.kt)("p",null,(0,m.kt)("inlineCode",{parentName:"p"},"find_in_list([1] * 5000, 1)"),". What shall be the result of this? Since we have ",(0,m.kt)("inlineCode",{parentName:"p"},"key = 1")," and the list contains only ",(0,m.kt)("inlineCode",{parentName:"p"},"1"),"s, we should get list of ",(0,m.kt)("strong",{parentName:"p"},"all")," indices."),(0,m.kt)("p",null,"If we were to draw a tree of call hierarchy of ",(0,m.kt)("inlineCode",{parentName:"p"},"recursive_find_in_list"),", we would notice that in sum it is still linear to the length. ",(0,m.kt)("strong",{parentName:"p"},"However we use ",(0,m.kt)("inlineCode",{parentName:"strong"},"extend"),"!")),(0,m.kt)("p",null,"In the leaves of the tree we return lists of length 1. In this case it means calling ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," 5000-times at the second-to-last level of the tree on the 1-element long lists, next level 2500 calls on 2-elements long lists, next one 1250 on 4-elements long lists, etc. At the top-level we get 2 calls on 5000/2-element long lists."),(0,m.kt)("p",null,"A lot of ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," calls, right? And the lengths of the lists are growing (in this example, second call happens on 2500-elements long lists)."),(0,m.kt)("p",null,"Because of the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," in each level of the tree (call hierarchy) we traverse all of the elements. That means:"),(0,m.kt)("div",{className:"math math-display"},(0,m.kt)("span",{parentName:"div",className:"katex-display"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,m.kt)("mi",{parentName:"mrow"},"log"),(0,m.kt)("mo",{parentName:"mrow"},"\u2061"),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n \\cdot \\log n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mop"},"lo",(0,m.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,m.kt)("p",null,"because we have ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"log"),(0,m.kt)("mo",{parentName:"mrow"},"\u2061"),(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\log n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mop"},"lo",(0,m.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," levels in the tree and ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," elements at each level."),(0,m.kt)("h2",{id:"example-2"},"Example #2"),(0,m.kt)("p",null,"As we could observe in the example above, ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," iterates over all of the elements that it adds. In case of recursive calls, it results in iterating over the same elements multiple times."),(0,m.kt)("p",null,"Consider constructing of this list:"),(0,m.kt)("p",null,(0,m.kt)("img",{alt:"Rendered construction of the list",src:t(5304).Z+"#gh-light-mode-only",width:"851",height:"276"}),"\n",(0,m.kt)("img",{alt:"Rendered construction of the list",src:t(5890).Z+"#gh-dark-mode-only",width:"851",height:"276"})),(0,m.kt)("p",null,"Let us assume that you extend the result with the list that you get from the recursive call."),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"B iterates through 1, 2 and 3; returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[1, 2, 3]"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"C iterates through 4, 5 and 6; returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[4, 5, 6]"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"D iterates through 7, 8 and 9; returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[7, 8, 9]"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"now we return those lists to the calls from A), so each of the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," calls iterates through:"),(0,m.kt)("ul",{parentName:"li"},(0,m.kt)("li",{parentName:"ul"},"1, 2, 3 that was returned from B"),(0,m.kt)("li",{parentName:"ul"},"4, 5, 6 that was returned from C"),(0,m.kt)("li",{parentName:"ul"},"7, 8, 9 that was returned from D")),(0,m.kt)("p",{parentName:"li"},"and returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[1, 2, 3, 4, 5, 6, 7, 8, 9]")))),(0,m.kt)("p",null,"If the recursion had bigger depth and/or more elements, it would iterate through them more than twice, therefore it does not take constant time to do nor some constant multiple of the input, since it traverses all of the elements in each of the levels."),(0,m.kt)("h2",{id:"implementation-of-extend"},"Implementation of ",(0,m.kt)("inlineCode",{parentName:"h2"},"extend")),(0,m.kt)("p",null,"There is an example of dynamic array:"),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("a",{parentName:"li",href:"pathname:///files/ib002/time-complexity/extend/dynlist.h"},"interface (",(0,m.kt)("inlineCode",{parentName:"a"},"dynlist.h"),")")),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("a",{parentName:"li",href:"pathname:///files/ib002/time-complexity/extend/dynlist.c"},"implementation (",(0,m.kt)("inlineCode",{parentName:"a"},"dynlist.c"),")"))),(0,m.kt)("p",null,"For the sake of ",(0,m.kt)("em",{parentName:"p"},"Algorithms and Data Structures I")," we consider ",(0,m.kt)("inlineCode",{parentName:"p"},"APPEND")," operation, i.e. adding the element to the end of the list, to have time complexity ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mn",{parentName:"mrow"},"1"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(1)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord"},"1"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))," (",(0,m.kt)("strong",{parentName:"p"},"amortized"),"; which is out of the scope of IB002)."),(0,m.kt)("p",null,"If we have a look at the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," implementation in this dynamic array example:"),(0,m.kt)("pre",null,(0,m.kt)("code",{parentName:"pre",className:"language-c",metastring:"showLineNumbers",showLineNumbers:!0},"void dynamic_array_extend(struct dynamic_array_t *arr, struct dynamic_array_t *src)\n{\n if (arr == NULL || src == NULL)\n {\n return;\n }\n\n for (size_t i = 0; i < src->count; i++)\n {\n dynamic_array_push_back(arr, dynamic_array_at(src, i));\n }\n}\n")),(0,m.kt)("p",null,"Apart from checking edge cases, we can notice that we run ",(0,m.kt)("inlineCode",{parentName:"p"},"for"),"-loop over the elements from the other array and add them one-by-one to the ",(0,m.kt)("inlineCode",{parentName:"p"},"arr"),". Time complexity of this operation is time dependant on the ",(0,m.kt)("inlineCode",{parentName:"p"},"src")," array."),(0,m.kt)("p",null,"In this specific implementation, you could also resize the memory allocated for the array in one go and copy ",(0,m.kt)("em",{parentName:"p"},"whole")," ",(0,m.kt)("inlineCode",{parentName:"p"},"src")," array in one go. However even if you did so, it would be still dependant on the size of the ",(0,m.kt)("inlineCode",{parentName:"p"},"src")," array. Cause you still need to copy ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"count"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,m.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"elementSize"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\texttt{count}(src) \\cdot \\texttt{elementSize}(src)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"count")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"elementSize")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))," bytes. From that we can assume that for specific instance of array the ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"elementSize"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\texttt{elementSize}(src)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"elementSize")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))," is fixed, therefore we consider it a constant. That way we are getting ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"count"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(\\texttt{count}(src))")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"count")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},"))")))))," as a time complexity of our ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," operation."))}N.isMDXComponent=!0},5890:(e,a,t)=>{t.d(a,{Z:()=>n});const n=t.p+"assets/images/construction_dark-fcb91acb746c787329bf9bd3cb54c5b7.png"},5304:(e,a,t)=>{t.d(a,{Z:()=>n});const n=t.p+"assets/images/construction_light-dda6c5aa625d6e6c14c01589117281c2.png"}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[9157],{3905:(e,a,t)=>{t.d(a,{Zo:()=>o,kt:()=>h});var n=t(7294);function m(e,a,t){return a in e?Object.defineProperty(e,a,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[a]=t,e}function s(e,a){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);a&&(n=n.filter((function(a){return Object.getOwnPropertyDescriptor(e,a).enumerable}))),t.push.apply(t,n)}return t}function r(e){for(var a=1;a=0||(m[t]=e[t]);return m}(e,a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(m[t]=e[t])}return m}var i=n.createContext({}),l=function(e){var a=n.useContext(i),t=a;return e&&(t="function"==typeof e?e(a):r(r({},a),e)),t},o=function(e){var a=l(e.components);return n.createElement(i.Provider,{value:a},e.children)},c="mdxType",N={inlineCode:"code",wrapper:function(e){var a=e.children;return n.createElement(n.Fragment,{},a)}},k=n.forwardRef((function(e,a){var t=e.components,m=e.mdxType,s=e.originalType,i=e.parentName,o=p(e,["components","mdxType","originalType","parentName"]),c=l(t),k=m,h=c["".concat(i,".").concat(k)]||c[k]||N[k]||s;return t?n.createElement(h,r(r({ref:a},o),{},{components:t})):n.createElement(h,r({ref:a},o))}));function h(e,a){var t=arguments,m=a&&a.mdxType;if("string"==typeof e||m){var s=t.length,r=new Array(s);r[0]=k;var p={};for(var i in a)hasOwnProperty.call(a,i)&&(p[i]=a[i]);p.originalType=e,p[c]="string"==typeof e?e:m,r[1]=p;for(var l=2;l{t.r(a),t.d(a,{assets:()=>i,contentTitle:()=>r,default:()=>N,frontMatter:()=>s,metadata:()=>p,toc:()=>l});var n=t(7462),m=(t(7294),t(3905));const s={id:"extend",title:"Time complexity of \u2039extend\u203a",description:"How to make inefficient algorithm unknowingly.\n",tags:["c","python","dynamic array","time complexity","recursion"],last_update:{date:new Date("2021-03-31T00:00:00.000Z")}},r=void 0,p={unversionedId:"time-complexity/extend",id:"time-complexity/extend",title:"Time complexity of \u2039extend\u203a",description:"How to make inefficient algorithm unknowingly.\n",source:"@site/ib002/03-time-complexity/2021-03-31-extend.md",sourceDirName:"03-time-complexity",slug:"/time-complexity/extend",permalink:"/ib002/time-complexity/extend",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/03-time-complexity/2021-03-31-extend.md",tags:[{label:"c",permalink:"/ib002/tags/c"},{label:"python",permalink:"/ib002/tags/python"},{label:"dynamic array",permalink:"/ib002/tags/dynamic-array"},{label:"time complexity",permalink:"/ib002/tags/time-complexity"},{label:"recursion",permalink:"/ib002/tags/recursion"}],version:"current",lastUpdatedAt:1617148800,formattedLastUpdatedAt:"Mar 31, 2021",frontMatter:{id:"extend",title:"Time complexity of \u2039extend\u203a",description:"How to make inefficient algorithm unknowingly.\n",tags:["c","python","dynamic array","time complexity","recursion"],last_update:{date:"2021-03-31T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Asymptotic Notation and Time Complexity",permalink:"/ib002/category/asymptotic-notation-and-time-complexity"},next:{title:"Recursion",permalink:"/ib002/category/recursion"}},i={},l=[{value:"Introduction",id:"introduction",level:2},{value:"Technicalities",id:"technicalities",level:2},{value:"Example #1",id:"example-1",level:2},{value:"Example #2",id:"example-2",level:2},{value:"Implementation of extend",id:"implementation-of-extend",level:2}],o={toc:l},c="wrapper";function N(e){let{components:a,...s}=e;return(0,m.kt)(c,(0,n.Z)({},o,s,{components:a,mdxType:"MDXLayout"}),(0,m.kt)("h2",{id:"introduction"},"Introduction"),(0,m.kt)("p",null,"Each year there is a lot of confusion regarding time complexity of the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," operation on the lists in Python. I will introduce two specific examples from previous year and also will try to explain it on one of the possible implementations of ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," operation."),(0,m.kt)("h2",{id:"technicalities"},"Technicalities"),(0,m.kt)("p",null,"At the beginning we should clear some of the \u201cmyths\u201d regarding extending of the lists. There is a common misunderstanding regarding differences between ",(0,m.kt)("inlineCode",{parentName:"p"},"a += b"),", ",(0,m.kt)("inlineCode",{parentName:"p"},"a.extend(b)")," and ",(0,m.kt)("inlineCode",{parentName:"p"},"a + b"),"."),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},(0,m.kt)("inlineCode",{parentName:"p"},"a.extend(b)")," - adds all elements from ",(0,m.kt)("inlineCode",{parentName:"p"},"b")," to ",(0,m.kt)("inlineCode",{parentName:"p"},"a"),"."),(0,m.kt)("p",{parentName:"li"},"Time complexity: ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," denotes the length of ",(0,m.kt)("inlineCode",{parentName:"p"},"b"),".")),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},(0,m.kt)("inlineCode",{parentName:"p"},"a += b")," - equivalent to ",(0,m.kt)("inlineCode",{parentName:"p"},"a.extend(b)"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},(0,m.kt)("inlineCode",{parentName:"p"},"a + b")," - constructs a new list that contains elements from ",(0,m.kt)("inlineCode",{parentName:"p"},"a")," followed by\nelements from ",(0,m.kt)("inlineCode",{parentName:"p"},"b"),"."),(0,m.kt)("p",{parentName:"li"},"Time complexity: ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow"},"+"),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(m + n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"m, n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," denote the length of\n",(0,m.kt)("inlineCode",{parentName:"p"},"a")," and ",(0,m.kt)("inlineCode",{parentName:"p"},"b")," respectively."),(0,m.kt)("p",{parentName:"li"},"Space complexity: ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow"},"+"),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(m + n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"m"),(0,m.kt)("mo",{parentName:"mrow",separator:"true"},","),(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"m, n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.625em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"m"),(0,m.kt)("span",{parentName:"span",className:"mpunct"},","),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," denote the length of\n",(0,m.kt)("inlineCode",{parentName:"p"},"a")," and ",(0,m.kt)("inlineCode",{parentName:"p"},"b")," respectively, since we construct new list."))),(0,m.kt)("h2",{id:"example-1"},"Example #1"),(0,m.kt)("p",null,"Let us assume function that uses divide & conquer strategy to return indices at which we can find specific element in any list."),(0,m.kt)("pre",null,(0,m.kt)("code",{parentName:"pre",className:"language-py",metastring:"showLineNumbers",showLineNumbers:!0},"def recursive_find_in_list(\n values: List[Any], key: Any, lower: int, upper: int\n) -> List[int]:\n if lower == upper:\n return [lower] if values[lower] == key else []\n\n indices = []\n mid = (lower + upper) // 2\n\n indices.extend(recursive_find_in_list(values, key, lower, mid))\n indices.extend(recursive_find_in_list(values, key, mid + 1, upper))\n\n return indices\n\n\ndef find_in_list(values: List[Any], key: Any) -> List[int]:\n return recursive_find_in_list(values, key, 0, len(values) - 1)\n")),(0,m.kt)("p",null,"This implementation works nicely, ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," is linear (with the respect to the length of the list that is being appended)."),(0,m.kt)("p",null,"Let us try to dissect the way this function works on some specific input (that will be pushed to the extreme, ",(0,m.kt)("em",{parentName:"p"},"just in case")," ;)"),(0,m.kt)("p",null,(0,m.kt)("inlineCode",{parentName:"p"},"find_in_list([1] * 5000, 1)"),". What shall be the result of this? Since we have ",(0,m.kt)("inlineCode",{parentName:"p"},"key = 1")," and the list contains only ",(0,m.kt)("inlineCode",{parentName:"p"},"1"),"s, we should get list of ",(0,m.kt)("strong",{parentName:"p"},"all")," indices."),(0,m.kt)("p",null,"If we were to draw a tree of call hierarchy of ",(0,m.kt)("inlineCode",{parentName:"p"},"recursive_find_in_list"),", we would notice that in sum it is still linear to the length. ",(0,m.kt)("strong",{parentName:"p"},"However we use ",(0,m.kt)("inlineCode",{parentName:"strong"},"extend"),"!")),(0,m.kt)("p",null,"In the leaves of the tree we return lists of length 1. In this case it means calling ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," 5000-times at the second-to-last level of the tree on the 1-element long lists, next level 2500 calls on 2-elements long lists, next one 1250 on 4-elements long lists, etc. At the top-level we get 2 calls on 5000/2-element long lists."),(0,m.kt)("p",null,"A lot of ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," calls, right? And the lengths of the lists are growing (in this example, second call happens on 2500-elements long lists)."),(0,m.kt)("p",null,"Because of the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," in each level of the tree (call hierarchy) we traverse all of the elements. That means:"),(0,m.kt)("div",{className:"math math-display"},(0,m.kt)("span",{parentName:"div",className:"katex-display"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,m.kt)("mi",{parentName:"mrow"},"log"),(0,m.kt)("mo",{parentName:"mrow"},"\u2061"),(0,m.kt)("mi",{parentName:"mrow"},"n"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n \\cdot \\log n)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mop"},"lo",(0,m.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,m.kt)("p",null,"because we have ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"log"),(0,m.kt)("mo",{parentName:"mrow"},"\u2061"),(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\log n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,m.kt)("span",{parentName:"span",className:"mop"},"lo",(0,m.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," levels in the tree and ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow"},"n")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," elements at each level."),(0,m.kt)("h2",{id:"example-2"},"Example #2"),(0,m.kt)("p",null,"As we could observe in the example above, ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," iterates over all of the elements that it adds. In case of recursive calls, it results in iterating over the same elements multiple times."),(0,m.kt)("p",null,"Consider constructing of this list:"),(0,m.kt)("p",null,(0,m.kt)("img",{alt:"Rendered construction of the list",src:t(1493).Z+"#gh-light-mode-only",width:"851",height:"276"}),"\n",(0,m.kt)("img",{alt:"Rendered construction of the list",src:t(4758).Z+"#gh-dark-mode-only",width:"851",height:"276"})),(0,m.kt)("p",null,"Let us assume that you extend the result with the list that you get from the recursive call."),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"B iterates through 1, 2 and 3; returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[1, 2, 3]"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"C iterates through 4, 5 and 6; returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[4, 5, 6]"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"D iterates through 7, 8 and 9; returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[7, 8, 9]"))),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("p",{parentName:"li"},"now we return those lists to the calls from A), so each of the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," calls iterates through:"),(0,m.kt)("ul",{parentName:"li"},(0,m.kt)("li",{parentName:"ul"},"1, 2, 3 that was returned from B"),(0,m.kt)("li",{parentName:"ul"},"4, 5, 6 that was returned from C"),(0,m.kt)("li",{parentName:"ul"},"7, 8, 9 that was returned from D")),(0,m.kt)("p",{parentName:"li"},"and returns ",(0,m.kt)("inlineCode",{parentName:"p"},"[1, 2, 3, 4, 5, 6, 7, 8, 9]")))),(0,m.kt)("p",null,"If the recursion had bigger depth and/or more elements, it would iterate through them more than twice, therefore it does not take constant time to do nor some constant multiple of the input, since it traverses all of the elements in each of the levels."),(0,m.kt)("h2",{id:"implementation-of-extend"},"Implementation of ",(0,m.kt)("inlineCode",{parentName:"h2"},"extend")),(0,m.kt)("p",null,"There is an example of dynamic array:"),(0,m.kt)("ul",null,(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("a",{parentName:"li",href:"pathname:///files/ib002/time-complexity/extend/dynlist.h"},"interface (",(0,m.kt)("inlineCode",{parentName:"a"},"dynlist.h"),")")),(0,m.kt)("li",{parentName:"ul"},(0,m.kt)("a",{parentName:"li",href:"pathname:///files/ib002/time-complexity/extend/dynlist.c"},"implementation (",(0,m.kt)("inlineCode",{parentName:"a"},"dynlist.c"),")"))),(0,m.kt)("p",null,"For the sake of ",(0,m.kt)("em",{parentName:"p"},"Algorithms and Data Structures I")," we consider ",(0,m.kt)("inlineCode",{parentName:"p"},"APPEND")," operation, i.e. adding the element to the end of the list, to have time complexity ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mn",{parentName:"mrow"},"1"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(1)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord"},"1"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))," (",(0,m.kt)("strong",{parentName:"p"},"amortized"),"; which is out of the scope of IB002)."),(0,m.kt)("p",null,"If we have a look at the ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," implementation in this dynamic array example:"),(0,m.kt)("pre",null,(0,m.kt)("code",{parentName:"pre",className:"language-c",metastring:"showLineNumbers",showLineNumbers:!0},"void dynamic_array_extend(struct dynamic_array_t *arr, struct dynamic_array_t *src)\n{\n if (arr == NULL || src == NULL)\n {\n return;\n }\n\n for (size_t i = 0; i < src->count; i++)\n {\n dynamic_array_push_back(arr, dynamic_array_at(src, i));\n }\n}\n")),(0,m.kt)("p",null,"Apart from checking edge cases, we can notice that we run ",(0,m.kt)("inlineCode",{parentName:"p"},"for"),"-loop over the elements from the other array and add them one-by-one to the ",(0,m.kt)("inlineCode",{parentName:"p"},"arr"),". Time complexity of this operation is time dependant on the ",(0,m.kt)("inlineCode",{parentName:"p"},"src")," array."),(0,m.kt)("p",null,"In this specific implementation, you could also resize the memory allocated for the array in one go and copy ",(0,m.kt)("em",{parentName:"p"},"whole")," ",(0,m.kt)("inlineCode",{parentName:"p"},"src")," array in one go. However even if you did so, it would be still dependant on the size of the ",(0,m.kt)("inlineCode",{parentName:"p"},"src")," array. Cause you still need to copy ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"count"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,m.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"elementSize"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\texttt{count}(src) \\cdot \\texttt{elementSize}(src)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"count")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,m.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,m.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"elementSize")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))," bytes. From that we can assume that for specific instance of array the ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"elementSize"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\texttt{elementSize}(src)")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"elementSize")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},")")))))," is fixed, therefore we consider it a constant. That way we are getting ",(0,m.kt)("span",{parentName:"p",className:"math math-inline"},(0,m.kt)("span",{parentName:"span",className:"katex"},(0,m.kt)("span",{parentName:"span",className:"katex-mathml"},(0,m.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,m.kt)("semantics",{parentName:"math"},(0,m.kt)("mrow",{parentName:"semantics"},(0,m.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mtext",{parentName:"mrow",mathvariant:"monospace"},"count"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,m.kt)("mi",{parentName:"mrow"},"s"),(0,m.kt)("mi",{parentName:"mrow"},"r"),(0,m.kt)("mi",{parentName:"mrow"},"c"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,m.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,m.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(\\texttt{count}(src))")))),(0,m.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,m.kt)("span",{parentName:"span",className:"base"},(0,m.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,m.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord text"},(0,m.kt)("span",{parentName:"span",className:"mord texttt"},"count")),(0,m.kt)("span",{parentName:"span",className:"mopen"},"("),(0,m.kt)("span",{parentName:"span",className:"mord mathnormal"},"src"),(0,m.kt)("span",{parentName:"span",className:"mclose"},"))")))))," as a time complexity of our ",(0,m.kt)("inlineCode",{parentName:"p"},"extend")," operation."))}N.isMDXComponent=!0},4758:(e,a,t)=>{t.d(a,{Z:()=>n});const n=t.p+"assets/images/construction_dark-fac28e7cafcc43d7e2fb5f0b6c25504e.svg"},1493:(e,a,t)=>{t.d(a,{Z:()=>n});const n=t.p+"assets/images/construction_light-02b0be76041a8b1379107378e8f8b64c.svg"}}]); \ No newline at end of file diff --git a/assets/js/7cf94373.f6d9052f.js b/assets/js/7cf94373.9f6f9246.js similarity index 99% rename from assets/js/7cf94373.f6d9052f.js rename to assets/js/7cf94373.9f6f9246.js index d7bb761..88f6060 100644 --- a/assets/js/7cf94373.f6d9052f.js +++ b/assets/js/7cf94373.9f6f9246.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[3095],{3905:(e,t,n)=>{n.d(t,{Zo:()=>u,kt:()=>k});var a=n(7294);function r(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);t&&(a=a.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,a)}return n}function o(e){for(var t=1;t=0||(r[n]=e[n]);return r}(e,t);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(a=0;a=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(r[n]=e[n])}return r}var l=a.createContext({}),p=function(e){var t=a.useContext(l),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},u=function(e){var t=p(e.components);return a.createElement(l.Provider,{value:t},e.children)},m="mdxType",c={inlineCode:"code",wrapper:function(e){var t=e.children;return a.createElement(a.Fragment,{},t)}},d=a.forwardRef((function(e,t){var n=e.components,r=e.mdxType,i=e.originalType,l=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),m=p(n),d=r,k=m["".concat(l,".").concat(d)]||m[d]||c[d]||i;return n?a.createElement(k,o(o({ref:t},u),{},{components:n})):a.createElement(k,o({ref:t},u))}));function k(e,t){var n=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var i=n.length,o=new Array(i);o[0]=d;var s={};for(var l in t)hasOwnProperty.call(t,l)&&(s[l]=t[l]);s.originalType=e,s[m]="string"==typeof e?e:r,o[1]=s;for(var p=2;p{n.r(t),n.d(t,{assets:()=>l,contentTitle:()=>o,default:()=>c,frontMatter:()=>i,metadata:()=>s,toc:()=>p});var a=n(7462),r=(n(7294),n(3905));const i={id:"seminar-10",title:"10th seminar",description:"Finding bugs in a hangman.\n"},o=void 0,s={unversionedId:"bonuses/seminar-10",id:"bonuses/seminar-10",title:"10th seminar",description:"Finding bugs in a hangman.\n",source:"@site/pb071/bonuses/10.md",sourceDirName:"bonuses",slug:"/bonuses/seminar-10",permalink:"/pb071/bonuses/seminar-10",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/bonuses/10.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"seminar-10",title:"10th seminar",description:"Finding bugs in a hangman.\n"},sidebar:"autogeneratedBar",previous:{title:"8th seminar",permalink:"/pb071/bonuses/seminar-08"},next:{title:"Practice Exams",permalink:"/pb071/category/practice-exams"}},l={},p=[{value:"Introduction",id:"introduction",level:2},{value:"Project",id:"project",level:2},{value:"Summary of the gameplay",id:"summary-of-the-gameplay",level:3},{value:"Suggested workflow",id:"suggested-workflow",level:2},{value:"Tasks",id:"tasks",level:2},{value:"Dictionary",id:"dictionary",level:2},{value:"Submitting",id:"submitting",level:2}],u={toc:p},m="wrapper";function c(e){let{components:t,...i}=e;return(0,r.kt)(m,(0,a.Z)({},u,i,{components:t,mdxType:"MDXLayout"}),(0,r.kt)("p",null,(0,r.kt)("a",{parentName:"p",href:"pathname:///files/pb071/bonuses/10.tar.gz"},"Source")),(0,r.kt)("h2",{id:"introduction"},"Introduction"),(0,r.kt)("p",null,"For this bonus you are given almost finished project - The Hangman Game. Your\ntask is to try the game, in case you find any bugs point them out and cover as\nmuch of the game as possible with tests."),(0,r.kt)("p",null,"For this bonus you can get at maximum 2 K\u20a1."),(0,r.kt)("table",null,(0,r.kt)("thead",{parentName:"table"},(0,r.kt)("tr",{parentName:"thead"},(0,r.kt)("th",{parentName:"tr",align:null},"Item"),(0,r.kt)("th",{parentName:"tr",align:null},"Bonus"))),(0,r.kt)("tbody",{parentName:"table"},(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Fixing bugs from failing tests"),(0,r.kt)("td",{parentName:"tr",align:null},"0.25")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},(0,r.kt)("inlineCode",{parentName:"td"},"word_guessed")),(0,r.kt)("td",{parentName:"tr",align:null},"0.50")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Hidden bug"),(0,r.kt)("td",{parentName:"tr",align:null},"0.50")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Extending tests, undetectable bugs or evil bug"),(0,r.kt)("td",{parentName:"tr",align:null},"0.37")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Refactor"),(0,r.kt)("td",{parentName:"tr",align:null},"0.38")))),(0,r.kt)("h2",{id:"project"},"Project"),(0,r.kt)("p",null,"Project consists of 2 source files - ",(0,r.kt)("inlineCode",{parentName:"p"},"hangman.c")," and ",(0,r.kt)("inlineCode",{parentName:"p"},"main.c"),"."),(0,r.kt)("p",null,(0,r.kt)("inlineCode",{parentName:"p"},"main.c")," is quite short and concise, there is nothing for you to do."),(0,r.kt)("p",null,(0,r.kt)("inlineCode",{parentName:"p"},"hangman.c")," contains implementation of the game. In case you feel lost, consult\nthe documentation in ",(0,r.kt)("inlineCode",{parentName:"p"},"hangman.h")," that represents an interface that can be used\nfor implementing the game."),(0,r.kt)("p",null,"Apart from those sources this project is a bit more complicated. ",(0,r.kt)("em",{parentName:"p"},"Game loop")," is\nrealised via single encapsulated function that complicates the testing. Because\nof that, there are 2 kinds of tests:"),(0,r.kt)("ul",null,(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("p",{parentName:"li"},(0,r.kt)("em",{parentName:"p"},"Unit tests")," - that are present in ",(0,r.kt)("inlineCode",{parentName:"p"},"test_hangman.c")," and can be run via:"),(0,r.kt)("pre",{parentName:"li"},(0,r.kt)("code",{parentName:"pre"},"$ make check-unit\n")),(0,r.kt)("p",{parentName:"li"},"They cover majorly functions that can be tested easily via testing framework.")),(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("p",{parentName:"li"},(0,r.kt)("em",{parentName:"p"},"Functional tests")," - same as in ",(0,r.kt)("inlineCode",{parentName:"p"},"seminar-08")," and are focused on testing the\nprogram as whole. Basic smoke test is already included in ",(0,r.kt)("inlineCode",{parentName:"p"},"usage")," test case."),(0,r.kt)("p",{parentName:"li"},"They can be run via:"),(0,r.kt)("pre",{parentName:"li"},(0,r.kt)("code",{parentName:"pre"},"$ make check-functional\n")),(0,r.kt)("p",{parentName:"li"},"When testing ",(0,r.kt)("inlineCode",{parentName:"p"},"hangman")," function (the game loop), it is suggested to create\nfunctional tests."),(0,r.kt)("p",{parentName:"li"},"When submitting the files for review, please leave out functional tests that\nwere given as a part of the assignment, so that it is easier to navigate, I\nwill drag the common files myself. :)"))),(0,r.kt)("blockquote",null,(0,r.kt)("p",{parentName:"blockquote"},"Whole test suite can be run via:"),(0,r.kt)("pre",{parentName:"blockquote"},(0,r.kt)("code",{parentName:"pre"},"$ make check\n"))),(0,r.kt)("h3",{id:"summary-of-the-gameplay"},"Summary of the gameplay"),(0,r.kt)("ol",null,(0,r.kt)("li",{parentName:"ol"},"Secret word gets chosen from the file that's path is given as an argument."),(0,r.kt)("li",{parentName:"ol"},"You get 8 guesses."),(0,r.kt)("li",{parentName:"ol"},"Invalid characters don't count."),(0,r.kt)("li",{parentName:"ol"},"Already guessed characters don't count, even if not included in the secret."),(0,r.kt)("li",{parentName:"ol"},"You can guess the whole word at once",(0,r.kt)("ul",{parentName:"li"},(0,r.kt)("li",{parentName:"ul"},"If you get it right, you won, game ends."),(0,r.kt)("li",{parentName:"ul"},"If you don't get it right, you get to see the secret, game ends."))),(0,r.kt)("li",{parentName:"ol"},"In case of end of input, game finishes via force."),(0,r.kt)("li",{parentName:"ol"},"In case of invalid input, no guesses are subtracted, game carries on."),(0,r.kt)("li",{parentName:"ol"},"Letters and words are not case sensitive.")),(0,r.kt)("h2",{id:"suggested-workflow"},"Suggested workflow"),(0,r.kt)("p",null,"As we have talked about on the seminar, I suggest you to follow\n",(0,r.kt)("em",{parentName:"p"},"Test-Driven Development"),"\nin this case."),(0,r.kt)("p",null,(0,r.kt)("img",{alt:"TDD workflow",src:n(1530).Z,width:"2814",height:"1652"})),(0,r.kt)("p",null,"In our current scenario we are already in the stage of refactoring and fixing the\nbugs. Therefore try to follow this succession of steps:"),(0,r.kt)("ol",null,(0,r.kt)("li",{parentName:"ol"},"Try to reproduce the bug."),(0,r.kt)("li",{parentName:"ol"},"Create a test that proves the presence of the bug."),(0,r.kt)("li",{parentName:"ol"},"Fix the bug.")),(0,r.kt)("p",null,"In case you are submitting the bonus via GitLab, it is helpful to commit tests\nbefore commiting the fixes, so that it is apparent that the bug is manifested.\nExample of ",(0,r.kt)("inlineCode",{parentName:"p"},"git log")," (notice that the first line represents latest commit):"),(0,r.kt)("pre",null,(0,r.kt)("code",{parentName:"pre"},"feat: Implement fizz_buzzer\ntest: Add tests for fizz_buzzer\nfix: Fix NULL-check in print_name\ntest: Add test for NULL in print_name\n")),(0,r.kt)("h2",{id:"tasks"},"Tasks"),(0,r.kt)("p",null,"As to your tasks, there are multiple things wrong in this project."),(0,r.kt)("ol",null,(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},'There are 2 "bugs" that cannot be detected via tests, i.e. they are not bugs\nthat affect functionality of the game.')),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"There is one evil bug in ",(0,r.kt)("inlineCode",{parentName:"p"},"get_word"),". It is not required to be fixed ;) Assign\nit the lowest priority.")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"There are some tests failing. Please try to figure it out, so you have green\ntests for the rest :)")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"We have gotten a bug report for ",(0,r.kt)("inlineCode",{parentName:"p"},"word_guessed"),", all we got is"),(0,r.kt)("blockquote",{parentName:"li"},(0,r.kt)("p",{parentName:"blockquote"},"doesn't work when there are too many ",(0,r.kt)("inlineCode",{parentName:"p"},"a"),"s")),(0,r.kt)("p",{parentName:"li"},"Please try to replicate the bug and create a tests, so we don't get any\nregression later on.")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"One hidden bug :) Closely non-specified, we cannot reproduce it and we were\ndrunk while playing the game, so we don't remember a thing. :/")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"Try to cover as much code via the tests as possible. We are not going to look\nat the metrics, but DRY is violated a lot, so as a last task try to remove as\nmuch of the duplicit code as possible."),(0,r.kt)("p",{parentName:"li"},"Tests should help you a lot in case there are some regressions."))),(0,r.kt)("hr",null),(0,r.kt)("p",null,"In case you wonder why there are always 3 same words in the file with words, it\nis because of the ",(0,r.kt)("inlineCode",{parentName:"p"},"get_word")," bug. It is not a bug that can be easily fixed, so\nit is a not requirement at all and you can still get all points for the bonus ;)"),(0,r.kt)("h2",{id:"dictionary"},"Dictionary"),(0,r.kt)("ul",null,(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("a",{parentName:"li",href:"https://en.wikipedia.org/wiki/Functional_testing"},"Functional tests")),(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("a",{parentName:"li",href:"https://en.wikipedia.org/wiki/Smoke_testing_%28software%29"},"Smoke test")),(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("a",{parentName:"li",href:"https://en.wikipedia.org/wiki/Don%27t_repeat_yourself"},"DRY"))),(0,r.kt)("h2",{id:"submitting"},"Submitting"),(0,r.kt)("p",null,"In case you have any questions, feel free to reach out to me."),(0,r.kt)("hr",null),(0,r.kt)("p",null,"Ideally submit the assignment through the merge request. Step-by-step tutorial\nis present ",(0,r.kt)("a",{parentName:"p",href:"../mr"},"here"),". For setting assignee my xlogin is ",(0,r.kt)("inlineCode",{parentName:"p"},"xfocko"),"."),(0,r.kt)("p",null,"In case you do not want to experiment on GitLab, send me the source code via\nemail, but please prefix subject with: ",(0,r.kt)("inlineCode",{parentName:"p"},"[PB071/14][seminar-10]")),(0,r.kt)("p",null,"Deadline for the submission of the bonus is ",(0,r.kt)("strong",{parentName:"p"},"May 17 24:00"),"."))}c.isMDXComponent=!0},1530:(e,t,n)=>{n.d(t,{Z:()=>a});const a=n.p+"assets/images/tdd_lifecycle-327ad9ee0ed8318ed11e19a28e02b2cc.png"}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[3095],{3905:(e,t,n)=>{n.d(t,{Zo:()=>u,kt:()=>k});var a=n(7294);function r(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);t&&(a=a.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,a)}return n}function o(e){for(var t=1;t=0||(r[n]=e[n]);return r}(e,t);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(a=0;a=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(r[n]=e[n])}return r}var l=a.createContext({}),p=function(e){var t=a.useContext(l),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},u=function(e){var t=p(e.components);return a.createElement(l.Provider,{value:t},e.children)},m="mdxType",c={inlineCode:"code",wrapper:function(e){var t=e.children;return a.createElement(a.Fragment,{},t)}},d=a.forwardRef((function(e,t){var n=e.components,r=e.mdxType,i=e.originalType,l=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),m=p(n),d=r,k=m["".concat(l,".").concat(d)]||m[d]||c[d]||i;return n?a.createElement(k,o(o({ref:t},u),{},{components:n})):a.createElement(k,o({ref:t},u))}));function k(e,t){var n=arguments,r=t&&t.mdxType;if("string"==typeof e||r){var i=n.length,o=new Array(i);o[0]=d;var s={};for(var l in t)hasOwnProperty.call(t,l)&&(s[l]=t[l]);s.originalType=e,s[m]="string"==typeof e?e:r,o[1]=s;for(var p=2;p{n.r(t),n.d(t,{assets:()=>l,contentTitle:()=>o,default:()=>c,frontMatter:()=>i,metadata:()=>s,toc:()=>p});var a=n(7462),r=(n(7294),n(3905));const i={id:"seminar-10",title:"10th seminar",description:"Finding bugs in a hangman.\n"},o=void 0,s={unversionedId:"bonuses/seminar-10",id:"bonuses/seminar-10",title:"10th seminar",description:"Finding bugs in a hangman.\n",source:"@site/pb071/bonuses/10.md",sourceDirName:"bonuses",slug:"/bonuses/seminar-10",permalink:"/pb071/bonuses/seminar-10",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/bonuses/10.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"seminar-10",title:"10th seminar",description:"Finding bugs in a hangman.\n"},sidebar:"autogeneratedBar",previous:{title:"8th seminar",permalink:"/pb071/bonuses/seminar-08"},next:{title:"Practice Exams",permalink:"/pb071/category/practice-exams"}},l={},p=[{value:"Introduction",id:"introduction",level:2},{value:"Project",id:"project",level:2},{value:"Summary of the gameplay",id:"summary-of-the-gameplay",level:3},{value:"Suggested workflow",id:"suggested-workflow",level:2},{value:"Tasks",id:"tasks",level:2},{value:"Dictionary",id:"dictionary",level:2},{value:"Submitting",id:"submitting",level:2}],u={toc:p},m="wrapper";function c(e){let{components:t,...i}=e;return(0,r.kt)(m,(0,a.Z)({},u,i,{components:t,mdxType:"MDXLayout"}),(0,r.kt)("p",null,(0,r.kt)("a",{parentName:"p",href:"pathname:///files/pb071/bonuses/10.tar.gz"},"Source")),(0,r.kt)("h2",{id:"introduction"},"Introduction"),(0,r.kt)("p",null,"For this bonus you are given almost finished project - The Hangman Game. Your\ntask is to try the game, in case you find any bugs point them out and cover as\nmuch of the game as possible with tests."),(0,r.kt)("p",null,"For this bonus you can get at maximum 2 K\u20a1."),(0,r.kt)("table",null,(0,r.kt)("thead",{parentName:"table"},(0,r.kt)("tr",{parentName:"thead"},(0,r.kt)("th",{parentName:"tr",align:null},"Item"),(0,r.kt)("th",{parentName:"tr",align:null},"Bonus"))),(0,r.kt)("tbody",{parentName:"table"},(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Fixing bugs from failing tests"),(0,r.kt)("td",{parentName:"tr",align:null},"0.25")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},(0,r.kt)("inlineCode",{parentName:"td"},"word_guessed")),(0,r.kt)("td",{parentName:"tr",align:null},"0.50")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Hidden bug"),(0,r.kt)("td",{parentName:"tr",align:null},"0.50")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Extending tests, undetectable bugs or evil bug"),(0,r.kt)("td",{parentName:"tr",align:null},"0.37")),(0,r.kt)("tr",{parentName:"tbody"},(0,r.kt)("td",{parentName:"tr",align:null},"Refactor"),(0,r.kt)("td",{parentName:"tr",align:null},"0.38")))),(0,r.kt)("h2",{id:"project"},"Project"),(0,r.kt)("p",null,"Project consists of 2 source files - ",(0,r.kt)("inlineCode",{parentName:"p"},"hangman.c")," and ",(0,r.kt)("inlineCode",{parentName:"p"},"main.c"),"."),(0,r.kt)("p",null,(0,r.kt)("inlineCode",{parentName:"p"},"main.c")," is quite short and concise, there is nothing for you to do."),(0,r.kt)("p",null,(0,r.kt)("inlineCode",{parentName:"p"},"hangman.c")," contains implementation of the game. In case you feel lost, consult\nthe documentation in ",(0,r.kt)("inlineCode",{parentName:"p"},"hangman.h")," that represents an interface that can be used\nfor implementing the game."),(0,r.kt)("p",null,"Apart from those sources this project is a bit more complicated. ",(0,r.kt)("em",{parentName:"p"},"Game loop")," is\nrealised via single encapsulated function that complicates the testing. Because\nof that, there are 2 kinds of tests:"),(0,r.kt)("ul",null,(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("p",{parentName:"li"},(0,r.kt)("em",{parentName:"p"},"Unit tests")," - that are present in ",(0,r.kt)("inlineCode",{parentName:"p"},"test_hangman.c")," and can be run via:"),(0,r.kt)("pre",{parentName:"li"},(0,r.kt)("code",{parentName:"pre"},"$ make check-unit\n")),(0,r.kt)("p",{parentName:"li"},"They cover majorly functions that can be tested easily via testing framework.")),(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("p",{parentName:"li"},(0,r.kt)("em",{parentName:"p"},"Functional tests")," - same as in ",(0,r.kt)("inlineCode",{parentName:"p"},"seminar-08")," and are focused on testing the\nprogram as whole. Basic smoke test is already included in ",(0,r.kt)("inlineCode",{parentName:"p"},"usage")," test case."),(0,r.kt)("p",{parentName:"li"},"They can be run via:"),(0,r.kt)("pre",{parentName:"li"},(0,r.kt)("code",{parentName:"pre"},"$ make check-functional\n")),(0,r.kt)("p",{parentName:"li"},"When testing ",(0,r.kt)("inlineCode",{parentName:"p"},"hangman")," function (the game loop), it is suggested to create\nfunctional tests."),(0,r.kt)("p",{parentName:"li"},"When submitting the files for review, please leave out functional tests that\nwere given as a part of the assignment, so that it is easier to navigate, I\nwill drag the common files myself. :)"))),(0,r.kt)("blockquote",null,(0,r.kt)("p",{parentName:"blockquote"},"Whole test suite can be run via:"),(0,r.kt)("pre",{parentName:"blockquote"},(0,r.kt)("code",{parentName:"pre"},"$ make check\n"))),(0,r.kt)("h3",{id:"summary-of-the-gameplay"},"Summary of the gameplay"),(0,r.kt)("ol",null,(0,r.kt)("li",{parentName:"ol"},"Secret word gets chosen from the file that's path is given as an argument."),(0,r.kt)("li",{parentName:"ol"},"You get 8 guesses."),(0,r.kt)("li",{parentName:"ol"},"Invalid characters don't count."),(0,r.kt)("li",{parentName:"ol"},"Already guessed characters don't count, even if not included in the secret."),(0,r.kt)("li",{parentName:"ol"},"You can guess the whole word at once",(0,r.kt)("ul",{parentName:"li"},(0,r.kt)("li",{parentName:"ul"},"If you get it right, you won, game ends."),(0,r.kt)("li",{parentName:"ul"},"If you don't get it right, you get to see the secret, game ends."))),(0,r.kt)("li",{parentName:"ol"},"In case of end of input, game finishes via force."),(0,r.kt)("li",{parentName:"ol"},"In case of invalid input, no guesses are subtracted, game carries on."),(0,r.kt)("li",{parentName:"ol"},"Letters and words are not case sensitive.")),(0,r.kt)("h2",{id:"suggested-workflow"},"Suggested workflow"),(0,r.kt)("p",null,"As we have talked about on the seminar, I suggest you to follow\n",(0,r.kt)("em",{parentName:"p"},"Test-Driven Development"),"\nin this case."),(0,r.kt)("p",null,(0,r.kt)("img",{alt:"TDD workflow",src:n(1530).Z,width:"2814",height:"1652"})),(0,r.kt)("p",null,"In our current scenario we are already in the stage of refactoring and fixing the\nbugs. Therefore try to follow this succession of steps:"),(0,r.kt)("ol",null,(0,r.kt)("li",{parentName:"ol"},"Try to reproduce the bug."),(0,r.kt)("li",{parentName:"ol"},"Create a test that proves the presence of the bug."),(0,r.kt)("li",{parentName:"ol"},"Fix the bug.")),(0,r.kt)("p",null,"In case you are submitting the bonus via GitLab, it is helpful to commit tests\nbefore commiting the fixes, so that it is apparent that the bug is manifested.\nExample of ",(0,r.kt)("inlineCode",{parentName:"p"},"git log")," (notice that the first line represents latest commit):"),(0,r.kt)("pre",null,(0,r.kt)("code",{parentName:"pre"},"feat: Implement fizz_buzzer\ntest: Add tests for fizz_buzzer\nfix: Fix NULL-check in print_name\ntest: Add test for NULL in print_name\n")),(0,r.kt)("h2",{id:"tasks"},"Tasks"),(0,r.kt)("p",null,"As to your tasks, there are multiple things wrong in this project."),(0,r.kt)("ol",null,(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},'There are 2 "bugs" that cannot be detected via tests, i.e. they are not bugs\nthat affect functionality of the game.')),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"There is one evil bug in ",(0,r.kt)("inlineCode",{parentName:"p"},"get_word"),". It is not required to be fixed ;) Assign\nit the lowest priority.")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"There are some tests failing. Please try to figure it out, so you have green\ntests for the rest :)")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"We have gotten a bug report for ",(0,r.kt)("inlineCode",{parentName:"p"},"word_guessed"),", all we got is"),(0,r.kt)("blockquote",{parentName:"li"},(0,r.kt)("p",{parentName:"blockquote"},"doesn't work when there are too many ",(0,r.kt)("inlineCode",{parentName:"p"},"a"),"s")),(0,r.kt)("p",{parentName:"li"},"Please try to replicate the bug and create a tests, so we don't get any\nregression later on.")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"One hidden bug :) Closely non-specified, we cannot reproduce it and we were\ndrunk while playing the game, so we don't remember a thing. :/")),(0,r.kt)("li",{parentName:"ol"},(0,r.kt)("p",{parentName:"li"},"Try to cover as much code via the tests as possible. We are not going to look\nat the metrics, but DRY is violated a lot, so as a last task try to remove as\nmuch of the duplicit code as possible."),(0,r.kt)("p",{parentName:"li"},"Tests should help you a lot in case there are some regressions."))),(0,r.kt)("hr",null),(0,r.kt)("p",null,"In case you wonder why there are always 3 same words in the file with words, it\nis because of the ",(0,r.kt)("inlineCode",{parentName:"p"},"get_word")," bug. It is not a bug that can be easily fixed, so\nit is a not requirement at all and you can still get all points for the bonus ;)"),(0,r.kt)("h2",{id:"dictionary"},"Dictionary"),(0,r.kt)("ul",null,(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("a",{parentName:"li",href:"https://en.wikipedia.org/wiki/Functional_testing"},"Functional tests")),(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("a",{parentName:"li",href:"https://en.wikipedia.org/wiki/Smoke_testing_%28software%29"},"Smoke test")),(0,r.kt)("li",{parentName:"ul"},(0,r.kt)("a",{parentName:"li",href:"https://en.wikipedia.org/wiki/Don%27t_repeat_yourself"},"DRY"))),(0,r.kt)("h2",{id:"submitting"},"Submitting"),(0,r.kt)("p",null,"In case you have any questions, feel free to reach out to me."),(0,r.kt)("hr",null),(0,r.kt)("p",null,"Ideally submit the assignment through the merge request. Step-by-step tutorial\nis present ",(0,r.kt)("a",{parentName:"p",href:"../mr"},"here"),". For setting assignee my xlogin is ",(0,r.kt)("inlineCode",{parentName:"p"},"xfocko"),"."),(0,r.kt)("p",null,"In case you do not want to experiment on GitLab, send me the source code via\nemail, but please prefix subject with: ",(0,r.kt)("inlineCode",{parentName:"p"},"[PB071/14][seminar-10]")),(0,r.kt)("p",null,"Deadline for the submission of the bonus is ",(0,r.kt)("strong",{parentName:"p"},"May 17 24:00"),"."))}c.isMDXComponent=!0},1530:(e,t,n)=>{n.d(t,{Z:()=>a});const a=n.p+"assets/images/tdd_lifecycle-327ad9ee0ed8318ed11e19a28e02b2cc.png"}}]); \ No newline at end of file diff --git a/assets/js/7d580cdb.bd936269.js b/assets/js/7d580cdb.64115a26.js similarity index 99% rename from assets/js/7d580cdb.bd936269.js rename to assets/js/7d580cdb.64115a26.js index 5bd03bc..d878f2e 100644 --- a/assets/js/7d580cdb.bd936269.js +++ b/assets/js/7d580cdb.64115a26.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[8442],{3905:(a,e,t)=>{t.d(e,{Zo:()=>o,kt:()=>h});var n=t(7294);function s(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function m(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,n)}return t}function p(a){for(var e=1;e=0||(s[t]=a[t]);return s}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(s[t]=a[t])}return s}var l=n.createContext({}),i=function(a){var e=n.useContext(l),t=e;return a&&(t="function"==typeof a?a(e):p(p({},e),a)),t},o=function(a){var e=i(a.components);return n.createElement(l.Provider,{value:e},a.children)},N="mdxType",c={inlineCode:"code",wrapper:function(a){var e=a.children;return n.createElement(n.Fragment,{},e)}},k=n.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,l=a.parentName,o=r(a,["components","mdxType","originalType","parentName"]),N=i(t),k=s,h=N["".concat(l,".").concat(k)]||N[k]||c[k]||m;return t?n.createElement(h,p(p({ref:e},o),{},{components:t})):n.createElement(h,p({ref:e},o))}));function h(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=k;var r={};for(var l in e)hasOwnProperty.call(e,l)&&(r[l]=e[l]);r.originalType=a,r[N]="string"==typeof a?a:s,p[1]=r;for(var i=2;i{t.r(e),t.d(e,{assets:()=>l,contentTitle:()=>p,default:()=>c,frontMatter:()=>m,metadata:()=>r,toc:()=>i});var n=t(7462),s=(t(7294),t(3905));const m={id:"pyramid-slide-down",title:"Introduction to dynamic programming",description:"Solving a problem in different ways.\n",tags:["java","recursion","exponential","greedy","dynamic-programming","top-down-dp","bottom-up-dp"],last_updated:{date:new Date("2023-08-17T00:00:00.000Z")}},p=void 0,r={unversionedId:"recursion/pyramid-slide-down",id:"recursion/pyramid-slide-down",title:"Introduction to dynamic programming",description:"Solving a problem in different ways.\n",source:"@site/ib002/04-recursion/2023-08-17-pyramid-slide-down.md",sourceDirName:"04-recursion",slug:"/recursion/pyramid-slide-down",permalink:"/ib002/recursion/pyramid-slide-down",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/04-recursion/2023-08-17-pyramid-slide-down.md",tags:[{label:"java",permalink:"/ib002/tags/java"},{label:"recursion",permalink:"/ib002/tags/recursion"},{label:"exponential",permalink:"/ib002/tags/exponential"},{label:"greedy",permalink:"/ib002/tags/greedy"},{label:"dynamic-programming",permalink:"/ib002/tags/dynamic-programming"},{label:"top-down-dp",permalink:"/ib002/tags/top-down-dp"},{label:"bottom-up-dp",permalink:"/ib002/tags/bottom-up-dp"}],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"pyramid-slide-down",title:"Introduction to dynamic programming",description:"Solving a problem in different ways.\n",tags:["java","recursion","exponential","greedy","dynamic-programming","top-down-dp","bottom-up-dp"],last_updated:{date:"2023-08-17T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Recursion and backtracking with Robot Karel",permalink:"/ib002/recursion/karel-1"},next:{title:"Red-Black Trees",permalink:"/ib002/category/red-black-trees"}},l={},i=[{value:"Problem",id:"problem",level:2},{value:"Solving the problem",id:"solving-the-problem",level:2},{value:"Na\xefve solution",id:"na\xefve-solution",level:2},{value:"Time complexity",id:"time-complexity",level:3},{value:"Greedy solution",id:"greedy-solution",level:2},{value:"Time complexity",id:"time-complexity-1",level:3},{value:"Running the tests",id:"running-the-tests",level:3},{value:"Top-down DP",id:"top-down-dp",level:2},{value:"Time complexity",id:"time-complexity-2",level:3},{value:"Memory complexity",id:"memory-complexity",level:3},{value:"Bottom-up DP",id:"bottom-up-dp",level:2},{value:"Time complexity",id:"time-complexity-3",level:3},{value:"Memory complexity",id:"memory-complexity-1",level:3},{value:"Summary",id:"summary",level:2}],o={toc:i},N="wrapper";function c(a){let{components:e,...t}=a;return(0,s.kt)(N,(0,n.Z)({},o,t,{components:e,mdxType:"MDXLayout"}),(0,s.kt)("p",null,"In this post we will try to solve one problem in different ways."),(0,s.kt)("h2",{id:"problem"},"Problem"),(0,s.kt)("p",null,"The problem we are going to solve is one of ",(0,s.kt)("em",{parentName:"p"},"CodeWars")," katas and is called\n",(0,s.kt)("a",{parentName:"p",href:"https://www.codewars.com/kata/551f23362ff852e2ab000037"},"Pyramid Slide Down"),"."),(0,s.kt)("p",null,"We are given a 2D array of integers and we are to find the ",(0,s.kt)("em",{parentName:"p"},"slide down"),".\n",(0,s.kt)("em",{parentName:"p"},"Slide down")," is a maximum sum of consecutive numbers from the top to the bottom."),(0,s.kt)("p",null,"Let's have a look at few examples. Consider the following pyramid:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," 3\n 7 4\n 2 4 6\n8 5 9 3\n")),(0,s.kt)("p",null,"This pyramid has following slide down:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," *3\n *7 4\n 2 *4 6\n8 5 *9 3\n")),(0,s.kt)("p",null,"And its value is ",(0,s.kt)("inlineCode",{parentName:"p"},"23"),"."),(0,s.kt)("p",null,"We can also have a look at a ",(0,s.kt)("em",{parentName:"p"},"bigger")," example:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," 75\n 95 64\n 17 47 82\n 18 35 87 10\n 20 4 82 47 65\n 19 1 23 3 34\n 88 2 77 73 7 63 67\n 99 65 4 28 6 16 70 92\n 41 41 26 56 83 40 80 70 33\n 41 48 72 33 47 32 37 16 94 29\n 53 71 44 65 25 43 91 52 97 51 14\n 70 11 33 28 77 73 17 78 39 68 17 57\n 91 71 52 38 17 14 91 43 58 50 27 29 48\n 63 66 4 68 89 53 67 30 73 16 69 87 40 31\n 4 62 98 27 23 9 70 98 73 93 38 53 60 4 23\n")),(0,s.kt)("p",null,"Slide down in this case is equal to ",(0,s.kt)("inlineCode",{parentName:"p"},"1074"),"."),(0,s.kt)("h2",{id:"solving-the-problem"},"Solving the problem"),(0,s.kt)("admonition",{type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"I will describe the following ways you can approach this problem and implement\nthem in ",(0,s.kt)("em",{parentName:"p"},"Java"),(0,s.kt)("sup",{parentName:"p",id:"fnref-1"},(0,s.kt)("a",{parentName:"sup",href:"#fn-1",className:"footnote-ref"},"1")),".")),(0,s.kt)("p",null,"For all of the following solutions I will be using basic ",(0,s.kt)("inlineCode",{parentName:"p"},"main")," function that\nwill output ",(0,s.kt)("inlineCode",{parentName:"p"},"true"),"/",(0,s.kt)("inlineCode",{parentName:"p"},"false")," based on the expected output of our algorithm. Any\nother differences will lie only in the solutions of the problem. You can see the\n",(0,s.kt)("inlineCode",{parentName:"p"},"main")," here:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},'public static void main(String[] args) {\n System.out.print("Test #1: ");\n System.out.println(longestSlideDown(new int[][] {\n { 3 },\n { 7, 4 },\n { 2, 4, 6 },\n { 8, 5, 9, 3 }\n }) == 23 ? "passed" : "failed");\n\n System.out.print("Test #2: ");\n System.out.println(longestSlideDown(new int[][] {\n { 75 },\n { 95, 64 },\n { 17, 47, 82 },\n { 18, 35, 87, 10 },\n { 20, 4, 82, 47, 65 },\n { 19, 1, 23, 75, 3, 34 },\n { 88, 2, 77, 73, 7, 63, 67 },\n { 99, 65, 4, 28, 6, 16, 70, 92 },\n { 41, 41, 26, 56, 83, 40, 80, 70, 33 },\n { 41, 48, 72, 33, 47, 32, 37, 16, 94, 29 },\n { 53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14 },\n { 70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57 },\n { 91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48 },\n { 63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31 },\n { 4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23 },\n }) == 1074 ? "passed" : "failed");\n}\n')),(0,s.kt)("h2",{id:"na\xefve-solution"},"Na\xefve solution"),(0,s.kt)("p",null,"Our na\xefve solution consists of trying out all the possible slides and finding\nthe one with maximum sum."),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid, int row, int col) {\n if (row >= pyramid.length || col < 0 || col >= pyramid[row].length) {\n // BASE: We have gotten out of bounds, there's no reasonable value to\n // return, so we just return the \u2039MIN_VALUE\u203a to ensure that it cannot\n // be maximum.\n return Integer.MIN_VALUE;\n }\n\n if (row == pyramid.length - 1) {\n // BASE: Bottom of the pyramid, we just return the value, there's\n // nowhere to slide anymore.\n return pyramid[row][col];\n }\n\n // Otherwise we account for the current position and return maximum of the\n // available \u201cslides\u201d.\n return pyramid[row][col] + Math.max(\n longestSlideDown(pyramid, row + 1, col),\n longestSlideDown(pyramid, row + 1, col + 1));\n}\n\npublic static int longestSlideDown(int[][] pyramid) {\n // We start the slide in the top cell of the pyramid.\n return longestSlideDown(pyramid, 0, 0);\n}\n")),(0,s.kt)("p",null,"As you can see, we have 2 overloads:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"int longestSlideDown(int[][] pyramid);\nint longestSlideDown(int[][] pyramid, int row, int col);\n")),(0,s.kt)("p",null,"First one is used as a ",(0,s.kt)("em",{parentName:"p"},"public interface")," to the solution, you just pass in the\npyramid itself. Second one is the recursive \u201calgorithm\u201d that finds the slide\ndown."),(0,s.kt)("p",null,"It is a relatively simple solution\u2026 There's nothing to do at the bottom of the\npyramid, so we just return the value in the ",(0,s.kt)("em",{parentName:"p"},"cell"),". Otherwise we add it and try\nto slide down the available cells below the current row."),(0,s.kt)("h3",{id:"time-complexity"},"Time complexity"),(0,s.kt)("p",null,"If you get the source code and run it yourself, it runs rather fine\u2026 I hope you\nare wondering about the time complexity of the proposed solution and, since it\nreally is a na\xefve solution, the time complexity is pretty bad. Let's find the\nworst case scenario."),(0,s.kt)("p",null,"Let's start with the first overload:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid) {\n return longestSlideDown(pyramid, 0, 0);\n}\n")),(0,s.kt)("p",null,"There's not much to do here, so we can safely say that the time complexity of\nthis function is bounded by ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6833em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T")))))," is our second overload. This\ndoesn't tell us anything, so let's move on to the second overload where we are\ngoing to define the ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))," function."),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid, int row, int col) {\n if (row >= pyramid.length || col < 0 || col >= pyramid[row].length) {\n // BASE: We have gotten out of bounds, there's no reasonable value to\n // return, so we just return the \u2039MIN_VALUE\u203a to ensure that it cannot\n // be maximum.\n return Integer.MIN_VALUE;\n }\n\n if (row == pyramid.length - 1) {\n // BASE: Bottom of the pyramid, we just return the value, there's\n // nowhere to slide anymore.\n return pyramid[row][col];\n }\n\n // Otherwise we account for the current position and return maximum of the\n // available \u201cslides\u201d.\n return pyramid[row][col] + Math.max(\n longestSlideDown(pyramid, row + 1, col),\n longestSlideDown(pyramid, row + 1, col + 1));\n}\n")),(0,s.kt)("p",null,"Fun fact is that the whole \u201calgorithm\u201d consists of just 2 ",(0,s.kt)("inlineCode",{parentName:"p"},"return")," statements\nand nothing else. Let's dissect them!"),(0,s.kt)("p",null,"First ",(0,s.kt)("inlineCode",{parentName:"p"},"return")," statement is the base case, so it has a constant time complexity."),(0,s.kt)("p",null,"Second one a bit tricky. We add two numbers together, which we'll consider as\nconstant, but for the right part of the expression we take maximum from the left\nand right paths. OK\u2026 So what happens? We evaluate the ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown")," while\nchoosing the under and right both. They are separate computations though, so we\nare branching from each call of ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown"),", unless it's a base case."),(0,s.kt)("p",null,"What does that mean for us then? We basically get"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"{"),(0,s.kt)("mtable",{parentName:"mrow",rowspacing:"0.36em",columnalign:"left left",columnspacing:"1em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mn",{parentName:"mstyle"},"1"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mtext",{parentName:"mrow"},",\xa0if\xa0"),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"))))),(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mn",{parentName:"mrow"},"1"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"1"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mtext",{parentName:"mstyle"},",\xa0otherwise"))))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(y) = \\begin{cases} 1 & \\text{, if } y = rows \\\\ 1 + 2 \\cdot T(y + 1) & \\text{, otherwise} \\end{cases}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3em",verticalAlign:"-1.25em"}}),(0,s.kt)("span",{parentName:"span",className:"minner"},(0,s.kt)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},(0,s.kt)("span",{parentName:"span",className:"delimsizing size4"},"{")),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.69em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"},"1"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.25em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"},"1"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"1"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"arraycolsep",style:{width:"1em"}}),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.69em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},",\xa0if\xa0")),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.25em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},",\xa0otherwise"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},(0,s.kt)("span",{parentName:"span"}))))))),(0,s.kt)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),(0,s.kt)("p",null,"That looks rather easy to compute, isn't it? If you sum it up, you'll get:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mo",{parentName:"mrow"},"\u2208"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("msup",{parentName:"mrow"},(0,s.kt)("mn",{parentName:"msup"},"2"),(0,s.kt)("mrow",{parentName:"msup"},(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"))),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(rows) \\in \\mathcal{O}(2^{rows})")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"\u2208"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.7144em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight"},"s"))))))))),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"If you wonder why, I'll try to describe it intuitively:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"In each call to ",(0,s.kt)("inlineCode",{parentName:"li"},"longestSlideDown")," we do some work in constant time,\nregardless of being in the base case. Those are the ",(0,s.kt)("inlineCode",{parentName:"li"},"1"),"s in both cases."),(0,s.kt)("li",{parentName:"ol"},"If we are not in the base case, we move one row down ",(0,s.kt)("strong",{parentName:"li"},"twice"),". That's how we\nobtained ",(0,s.kt)("inlineCode",{parentName:"li"},"2 *")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"y + 1")," in the ",(0,s.kt)("em",{parentName:"li"},"otherwise")," case."),(0,s.kt)("li",{parentName:"ol"},"We move row-by-row, so we move down ",(0,s.kt)("inlineCode",{parentName:"li"},"y"),"-times and each call splits to two\nsubtrees."),(0,s.kt)("li",{parentName:"ol"},"Overall, if we were to represent the calls as a tree, we would get a full\nbinary tree of height ",(0,s.kt)("inlineCode",{parentName:"li"},"y"),", in each node we do some work in constant time,\ntherefore we can just sum the ones.")),(0,s.kt)("admonition",{type:"warning"},(0,s.kt)("p",{parentName:"admonition"},"It would've been more complicated to get an exact result. In the equation above\nwe are assuming that the width of the pyramid is bound by the height.")),(0,s.kt)("p",null,"Hopefully we can agree that this is not the best we can do. \ud83d\ude09"),(0,s.kt)("h2",{id:"greedy-solution"},"Greedy solution"),(0,s.kt)("p",null,"We will try to optimize it a bit. Let's start with a relatively simple ",(0,s.kt)("em",{parentName:"p"},"greedy"),"\napproach."),(0,s.kt)("admonition",{title:"Greedy algorithms",type:"info"},(0,s.kt)("p",{parentName:"admonition"},(0,s.kt)("em",{parentName:"p"},"Greedy algorithms")," can be described as algorithms that decide the action on the\noptimal option at the moment.")),(0,s.kt)("p",null,"We can try to adjust the na\xefve solution. The most problematic part are the\nrecursive calls. Let's apply the greedy approach there:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid, int row, int col) {\n if (row == pyramid.length - 1) {\n // BASE: We're at the bottom\n return pyramid[row][col];\n }\n\n if (col + 1 >= pyramid[row + 1].length\n || pyramid[row + 1][col] > pyramid[row + 1][col + 1]) {\n // If we cannot go right or it's not feasible, we continue to the left.\n return pyramid[row][col] + longestSlideDown(pyramid, row + 1, col);\n }\n\n // Otherwise we just move to the right.\n return pyramid[row][col] + longestSlideDown(pyramid, row + 1, col + 1);\n}\n")),(0,s.kt)("p",null,"OK, if we cannot go right ",(0,s.kt)("strong",{parentName:"p"},"or")," the right path adds smaller value to the sum,\nwe simply go left."),(0,s.kt)("h3",{id:"time-complexity-1"},"Time complexity"),(0,s.kt)("p",null,"We have switched from ",(0,s.kt)("em",{parentName:"p"},"adding the maximum")," to ",(0,s.kt)("em",{parentName:"p"},"following the \u201cbigger\u201d path"),", so\nwe improved the time complexity tremendously. We just go down the pyramid all\nthe way to the bottom. Therefore we are getting:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(rows)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"We have managed to convert our exponential solution into a linear one."),(0,s.kt)("h3",{id:"running-the-tests"},"Running the tests"),(0,s.kt)("p",null,"However, if we run the tests, we notice that the second test failed:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"},"Test #1: passed\nTest #2: failed\n")),(0,s.kt)("p",null,"What's going on? Well, we have improved the time complexity, but greedy\nalgorithms are not the ideal solution to ",(0,s.kt)("strong",{parentName:"p"},"all")," problems. In this case there\nmay be a solution that is bigger than the one found using the greedy algorithm."),(0,s.kt)("p",null,"Imagine the following pyramid:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," 1\n 2 3\n 5 6 7\n 8 9 10 11\n99 13 14 15 16\n")),(0,s.kt)("p",null,"We start at the top:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"1"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"2")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"3"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"3")," looks better, so we\nchoose it."),(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"3"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"6")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"7"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"7")," looks better, so we\nchoose it."),(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"7"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"10")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"11"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"11")," looks better, so we\nchoose it."),(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"11"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"15")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"16"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"16")," looks better, so\nwe choose it.")),(0,s.kt)("p",null,"Our final sum is: ",(0,s.kt)("inlineCode",{parentName:"p"},"1 + 3 + 7 + 11 + 16 = 38"),", but in the bottom left cell we\nhave a ",(0,s.kt)("inlineCode",{parentName:"p"},"99")," that is bigger than our whole sum."),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"Dijkstra's algorithm is a greedy algorithm too, try to think why it is correct.")),(0,s.kt)("h2",{id:"top-down-dp"},"Top-down DP"),(0,s.kt)("p",null,(0,s.kt)("em",{parentName:"p"},"Top-down dynamic programming")," is probably the most common approach, since (at\nleast looks like) is the easiest to implement. The whole point is avoiding the\nunnecessary computations that we have already done."),(0,s.kt)("p",null,"In our case, we can use our na\xefve solution and put a ",(0,s.kt)("em",{parentName:"p"},"cache")," on top of it that\nwill make sure, we don't do unnecessary calculations."),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"// This \u201cstructure\u201d is required, since I have decided to use \u2039TreeMap\u203a which\n// requires the ordering on the keys. It represents one position in the pyramid.\nrecord Position(int row, int col) implements Comparable {\n public int compareTo(Position r) {\n if (row != r.row) {\n return Integer.valueOf(row).compareTo(r.row);\n }\n\n if (col != r.col) {\n return Integer.valueOf(col).compareTo(r.col);\n }\n\n return 0;\n }\n}\n\npublic static int longestSlideDown(\n int[][] pyramid,\n TreeMap cache,\n Position position) {\n int row = position.row;\n int col = position.col;\n\n if (row >= pyramid.length || col < 0 || col >= pyramid[row].length) {\n // BASE: out of bounds\n return Integer.MIN_VALUE;\n }\n\n if (row == pyramid.length - 1) {\n // BASE: bottom of the pyramid\n return pyramid[position.row][position.col];\n }\n\n if (!cache.containsKey(position)) {\n // We haven't computed the position yet, so we run the same \u201cformula\u201d as\n // in the na\xefve version \xbband\xab we put calculated slide into the cache.\n // Next time we want the slide down from given position, it will be just\n // retrieved from the cache.\n int slideDown = Math.max(\n longestSlideDown(pyramid, cache, new Position(row + 1, col)),\n longestSlideDown(pyramid, cache, new Position(row + 1, col + 1)));\n cache.put(position, pyramid[row][col] + slideDown);\n }\n\n return cache.get(position);\n}\n\npublic static int longestSlideDown(int[][] pyramid) {\n // At the beginning we need to create a cache and share it across the calls.\n TreeMap cache = new TreeMap<>();\n return longestSlideDown(pyramid, cache, new Position(0, 0));\n}\n")),(0,s.kt)("p",null,"You have probably noticed that ",(0,s.kt)("inlineCode",{parentName:"p"},"record Position")," have appeared. Since we are\ncaching the already computed values, we need a \u201creasonable\u201d key. In this case we\nshare the cache only for one ",(0,s.kt)("em",{parentName:"p"},"run")," (i.e. pyramid) of the ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown"),", so\nwe can cache just with the indices within the pyramid, i.e. the ",(0,s.kt)("inlineCode",{parentName:"p"},"Position"),"."),(0,s.kt)("admonition",{title:"Record",type:"tip"},(0,s.kt)("p",{parentName:"admonition"},(0,s.kt)("em",{parentName:"p"},"Record")," is relatively new addition to the Java language. It is basically an\nimmutable structure with implicitly defined ",(0,s.kt)("inlineCode",{parentName:"p"},".equals()"),", ",(0,s.kt)("inlineCode",{parentName:"p"},".hashCode()"),",\n",(0,s.kt)("inlineCode",{parentName:"p"},".toString()")," and getters for the attributes.")),(0,s.kt)("p",null,"Because of the choice of ",(0,s.kt)("inlineCode",{parentName:"p"},"TreeMap"),", we had to additionally define the ordering\non it."),(0,s.kt)("p",null,"In the ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown")," you can notice that the computation which used to be\nat the end of the na\xefve version above, is now wrapped in an ",(0,s.kt)("inlineCode",{parentName:"p"},"if")," statement that\nchecks for the presence of the position in the cache and computes the slide down\njust when it's needed."),(0,s.kt)("h3",{id:"time-complexity-2"},"Time complexity"),(0,s.kt)("p",null,"If you think that evaluating time complexity for this approach is a bit more\ntricky, you are right. Keeping the cache in mind, it is not the easiest thing\nto do. However there are some observations that might help us figure this out:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"Slide down from each position is calculated only once."),(0,s.kt)("li",{parentName:"ol"},"Once calculated, we use the result from the cache.")),(0,s.kt)("p",null,"Knowing this, we still cannot, at least easily, describe the time complexity of\nfinding the best slide down from a specific position, ",(0,s.kt)("strong",{parentName:"p"},"but")," we can bound it\nfrom above for the ",(0,s.kt)("strong",{parentName:"p"},"whole")," run from the top. Now the question is how we can do\nthat!"),(0,s.kt)("p",null,"Overall we are doing the same things for almost",(0,s.kt)("sup",{parentName:"p",id:"fnref-2"},(0,s.kt)("a",{parentName:"sup",href:"#fn-2",className:"footnote-ref"},"2"))," all of the positions within\nthe pyramid:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},(0,s.kt)("p",{parentName:"li"},"We calculate and store it (using the partial results stored in cache). This\nis done only once."),(0,s.kt)("p",{parentName:"li"},"For each calculation we take 2 values from the cache and insert one value.\nBecause we have chosen ",(0,s.kt)("inlineCode",{parentName:"p"},"TreeMap"),", these 3 operations have logarithmic time\ncomplexity and therefore this step is equivalent to ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"3"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("msub",{parentName:"mrow"},(0,s.kt)("mrow",{parentName:"msub"},(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061")),(0,s.kt)("mn",{parentName:"msub"},"2")),(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"3 \\cdot \\log_2{n}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"3"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.9386em",verticalAlign:"-0.2441em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.207em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-2.4559em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"2")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.2441em"}},(0,s.kt)("span",{parentName:"span"})))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))),"."),(0,s.kt)("p",{parentName:"li"},"However for the sake of simplicity, we are going to account only for the\ninsertion, the reason is rather simple, if we include the 2 retrievals here,\nit will be interleaved with the next step, therefore it is easier to keep the\nretrievals in the following point."),(0,s.kt)("admonition",{parentName:"li",type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"You might have noticed it's still not that easy, cause we're not having full\ncache right from the beginning, but the sum of those logarithms cannot be\nexpressed in a nice way, so taking the upper bound, i.e. expecting the cache\nto be full at all times, is the best option for nice and readable complexity\nof the whole approach.")),(0,s.kt)("p",{parentName:"li"},"Our final upper bound of this work is therefore ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("msub",{parentName:"mrow"},(0,s.kt)("mrow",{parentName:"msub"},(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061")),(0,s.kt)("mn",{parentName:"msub"},"2")),(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\log_2{n}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.9386em",verticalAlign:"-0.2441em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.207em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-2.4559em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"2")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.2441em"}},(0,s.kt)("span",{parentName:"span"})))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))),".")),(0,s.kt)("li",{parentName:"ol"},(0,s.kt)("p",{parentName:"li"},"We retrieve it from the cache. Same as in first point, but only twice, so we\nget ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("msub",{parentName:"mrow"},(0,s.kt)("mrow",{parentName:"msub"},(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061")),(0,s.kt)("mn",{parentName:"msub"},"2")),(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2 \\cdot \\log_2{n}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.9386em",verticalAlign:"-0.2441em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.207em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-2.4559em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"2")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.2441em"}},(0,s.kt)("span",{parentName:"span"})))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))),". "),(0,s.kt)("admonition",{parentName:"li",type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"It's done twice because of the ",(0,s.kt)("inlineCode",{parentName:"p"},".containsKey()")," in the ",(0,s.kt)("inlineCode",{parentName:"p"},"if")," condition.")))),(0,s.kt)("p",null,"Okay, we have evaluated work done for each of the cells in the pyramid and now\nwe need to put it together."),(0,s.kt)("p",null,"Let's split the time complexity of our solution into two operands:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(r + s)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"r")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r")))))," will represent the ",(0,s.kt)("em",{parentName:"p"},"actual")," calculation of the cells and ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"s")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))))," will represent\nthe additional retrievals on top of the calculation."),(0,s.kt)("p",null,"We calculate the values only ",(0,s.kt)("strong",{parentName:"p"},"once"),", therefore we can safely agree on:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mtable",{parentName:"semantics",rowspacing:"0.25em",columnalign:"right left",columnspacing:"0em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"r"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n")))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{align*} r &= n \\cdot \\log{n} \\\\ \\end{align*}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1.5em",verticalAlign:"-0.5em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-r"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.16em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.5em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.16em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.5em"}},(0,s.kt)("span",{parentName:"span"})))))))))))),(0,s.kt)("p",null,"What about the ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"s")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))))," though? Key observation here is the fact that we have 2\nlookups on the tree in each of them ",(0,s.kt)("strong",{parentName:"p"},"and")," we do it twice, cause each cell has\nat most 2 parents:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mtable",{parentName:"semantics",rowspacing:"0.25em",columnalign:"right left",columnspacing:"0em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"s"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"("),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",fence:"true"},")")))))),(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"s"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"4"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n")))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{align*} s &= n \\cdot 2 \\cdot \\left( 2 \\cdot \\log{n} \\right) \\\\ s &= 4 \\cdot n \\cdot \\log{n} \\end{align*}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3em",verticalAlign:"-1.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-r"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"minner"},(0,s.kt)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"4"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"})))))))))))),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"You might've noticed that lookups actually take more time than the construction\nof the results. This is not entirely true, since we have included the\n",(0,s.kt)("inlineCode",{parentName:"p"},".containsKey()")," and ",(0,s.kt)("inlineCode",{parentName:"p"},".get()")," from the ",(0,s.kt)("inlineCode",{parentName:"p"},"return")," statement in the second part."),(0,s.kt)("p",{parentName:"admonition"},"If we were to represent this more precisely, we could've gone with:"),(0,s.kt)("div",{parentName:"admonition",className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mtable",{parentName:"semantics",rowspacing:"0.25em",columnalign:"right left",columnspacing:"0em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"r"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"3"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"))))),(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"s"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n")))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{align*} r &= 3 \\cdot n \\cdot \\log{n} \\\\ s &= 2 \\cdot n \\cdot \\log{n} \\end{align*}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3em",verticalAlign:"-1.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-r"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"3"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"})))))))))))),(0,s.kt)("p",{parentName:"admonition"},"On the other hand we are summing both numbers together, therefore in the end it\ndoesn't really matter."),(0,s.kt)("p",{parentName:"admonition"},"(",(0,s.kt)("em",{parentName:"p"},"Feel free to compare the sums of both \u201csplits\u201d."),")")),(0,s.kt)("p",null,"And so our final time complexity for the whole ",(0,s.kt)("em",{parentName:"p"},"top-down dynamic programming"),"\napproach is:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mspace",{parentName:"mrow",linebreak:"newline"}),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"4"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mspace",{parentName:"mrow",linebreak:"newline"}),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mn",{parentName:"mrow"},"5"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mspace",{parentName:"mrow",linebreak:"newline"}),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(r + s) \\\\ \\mathcal{O}(n \\cdot \\log{n} + 4 \\cdot n \\cdot \\log{n}) \\\\ \\mathcal{O}(5 \\cdot n \\cdot \\log{n}) \\\\ \\mathcal{O}(n \\cdot \\log{n})")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")),(0,s.kt)("span",{parentName:"span",className:"mspace newline"}),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"4"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4445em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")),(0,s.kt)("span",{parentName:"span",className:"mspace newline"}),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord"},"5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4445em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")),(0,s.kt)("span",{parentName:"span",className:"mspace newline"}),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"As you can see, this is worse than our ",(0,s.kt)("em",{parentName:"p"},"greedy")," solution that was incorrect, but\nit's better than the ",(0,s.kt)("em",{parentName:"p"},"na\xefve")," one."),(0,s.kt)("h3",{id:"memory-complexity"},"Memory complexity"),(0,s.kt)("p",null,"With this approach we need to talk about the memory complexity too, because we\nhave introduced cache. If you think that the memory complexity is linear to the\ninput, you are right. We start at the top and try to find each and every slide\ndown. At the end we get the final result for ",(0,s.kt)("inlineCode",{parentName:"p"},"new Position(0, 0)"),", so we need to\ncompute everything below."),(0,s.kt)("p",null,"That's how we obtain:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," represents the total amount of cells in the pyramid, i.e."),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("munderover",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"munderover"},"\u2211"),(0,s.kt)("mrow",{parentName:"munderover"},(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"0")),(0,s.kt)("mrow",{parentName:"munderover"},(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"p"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"y"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"r"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"a"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"m"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"i"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"d"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"."),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"l"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"e"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"n"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"g"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"t"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"h")),(0,s.kt)("mo",{parentName:"mrow"},"\u2212"),(0,s.kt)("mn",{parentName:"mrow"},"1"))),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"p"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"y"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"r"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"a"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"m"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"i"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"d")),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"["),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"]")),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"."),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"l"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"e"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"n"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"g"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"t"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"h"))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\sum_{y=0}^{\\mathtt{pyramid.length} - 1} \\mathtt{pyramid}\\left[y\\right]\\mathtt{.length}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3.2709em",verticalAlign:"-1.4032em"}}),(0,s.kt)("span",{parentName:"span",className:"mop op-limits"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.8677em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-1.8829em",marginLeft:"0em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.05em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mrel mtight"},"="),(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"0")))),(0,s.kt)("span",{parentName:"span",style:{top:"-3.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.05em"}}),(0,s.kt)("span",{parentName:"span"},(0,s.kt)("span",{parentName:"span",className:"mop op-symbol large-op"},"\u2211"))),(0,s.kt)("span",{parentName:"span",style:{top:"-4.3666em",marginLeft:"0em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.05em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mathtt mtight"},"pyramid.length")),(0,s.kt)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"1"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.4032em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathtt"},"pyramid")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"minner"},(0,s.kt)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"["),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},"]")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathtt"},".length"))))))),(0,s.kt)("admonition",{type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"If you're wondering whether it's correct because of the second ",(0,s.kt)("inlineCode",{parentName:"p"},"if")," in our\nfunction, your guess is right. However we are expressing the complexity in the\nBachmann-Landau notation, so we care about the ",(0,s.kt)("strong",{parentName:"p"},"upper bound"),", not the exact\nnumber.")),(0,s.kt)("admonition",{title:"Can this be optimized?",type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"Yes, it can! Try to think about a way, how can you minimize the memory\ncomplexity of this approach. I'll give you a hint:"),(0,s.kt)("div",{parentName:"admonition",className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(rows)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"))))))),(0,s.kt)("h2",{id:"bottom-up-dp"},"Bottom-up DP"),(0,s.kt)("p",null,"If you try to think in depth about the top-down DP solution, you might notice\nthat the ",(0,s.kt)("em",{parentName:"p"},"core")," of it stands on caching the calculations that have been already\ndone on the lower \u201clevels\u201d of the pyramid. Our bottom-up implementation will be\nusing this fact!"),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"As I have said in the ",(0,s.kt)("em",{parentName:"p"},"top-down DP")," section, it is the easiest way to implement\nDP (unless the cached function has complicated parameters, in that case it might\nget messy)."),(0,s.kt)("p",{parentName:"admonition"},"Bottom-up dynamic programming can be more effective, but may be more complicated\nto implement right from the beginning.")),(0,s.kt)("p",null,"Let's see how we can implement it:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid) {\n // In the beginning we declare new array. At this point it is easier to just\n // work with the one dimension, i.e. just allocating the space for the rows.\n int[][] slideDowns = new int[pyramid.length][];\n\n // Bottom row gets just copied, there's nothing else to do\u2026 It's the base\n // case.\n slideDowns[pyramid.length - 1] = Arrays.copyOf(pyramid[pyramid.length - 1],\n pyramid[pyramid.length - 1].length);\n\n // Then we need to propagate the found slide downs for each of the levels\n // above.\n for (int y = pyramid.length - 2; y >= 0; --y) {\n // We start by copying the values lying in the row we're processing.\n // They get included in the final sum and we need to allocate the space\n // for the precalculated slide downs anyways.\n int[] row = Arrays.copyOf(pyramid[y], pyramid[y].length);\n\n // At this we just need to \u201cfetch\u201d the partial results from \u201cneighbours\u201d\n for (int x = 0; x < row.length; ++x) {\n // We look under our position, since we expect the rows to get\n // shorter, we can safely assume such position exists.\n int under = slideDowns[y + 1][x];\n\n // Then we have a look to the right, such position doesn't have to\n // exist, e.g. on the right edge, so we validate the index, and if\n // it doesn't exist, we just assign minimum of the \u2039int\u203a which makes\n // sure that it doesn't get picked in the \u2039Math.max()\u203a call.\n int toRight = x + 1 < slideDowns[y + 1].length\n ? slideDowns[y + 1][x + 1]\n : Integer.MIN_VALUE;\n\n // Finally we add the best choice at this point.\n row[x] += Math.max(under, toRight);\n }\n\n // And save the row we've just calculated partial results for to the\n // \u201ctable\u201d.\n slideDowns[y] = row;\n }\n\n // At the end we can find our seeked slide down at the top cell.\n return slideDowns[0][0];\n}\n")),(0,s.kt)("p",null,"I've tried to explain the code as much as possible within the comments, since it\nmight be more beneficial to see right next to the \u201coffending\u201d lines."),(0,s.kt)("p",null,"As you can see, in this approach we go from the other side",(0,s.kt)("sup",{parentName:"p",id:"fnref-3"},(0,s.kt)("a",{parentName:"sup",href:"#fn-3",className:"footnote-ref"},"3")),", the bottom of\nthe pyramid and propagate the partial results up."),(0,s.kt)("admonition",{type:"info"},(0,s.kt)("mdxAdmonitionTitle",{parentName:"admonition"},"How is this different from the ",(0,s.kt)("em",{parentName:"mdxAdmonitionTitle"},"greedy")," solution???"),(0,s.kt)("p",{parentName:"admonition"},"If you try to compare them, you might find a very noticable difference. The\ngreedy approach is going from the top to the bottom without ",(0,s.kt)("strong",{parentName:"p"},"any")," knowledge of\nwhat's going on below. On the other hand, bottom-up DP is going from the bottom\n(",(0,s.kt)("em",{parentName:"p"},"DUH\u2026"),") and ",(0,s.kt)("strong",{parentName:"p"},"propagates")," the partial results to the top. The propagation is\nwhat makes sure that at the top I don't choose the best ",(0,s.kt)("strong",{parentName:"p"},"local")," choice, but\nthe best ",(0,s.kt)("strong",{parentName:"p"},"overall")," result I can achieve.")),(0,s.kt)("h3",{id:"time-complexity-3"},"Time complexity"),(0,s.kt)("p",null,"Time complexity of this solution is rather simple. We allocate an array for the\nrows and then for each row, we copy it and adjust the partial results. Doing\nthis we get:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(rows + 2n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"Of course, this is an upper bound, since we iterate through the bottom row only\nonce."),(0,s.kt)("h3",{id:"memory-complexity-1"},"Memory complexity"),(0,s.kt)("p",null,"We're allocating an array for the pyramid ",(0,s.kt)("strong",{parentName:"p"},"again")," for our partial results, so\nwe get:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"If we were writing this in C++ or Rust, we could've avoided that, but not\nreally."),(0,s.kt)("p",{parentName:"admonition"},"C++ would allow us to ",(0,s.kt)("strong",{parentName:"p"},"copy")," the pyramid rightaway into the parameter, so we\nwould be able to directly change it. However it's still a copy, even though we\ndon't need to allocate anything ourselves. It's just implicitly done for us."),(0,s.kt)("p",{parentName:"admonition"},"Rust is more funny in this case. If the pyramids weren't used after the call of\n",(0,s.kt)("inlineCode",{parentName:"p"},"longest_slide_down"),", it would simply ",(0,s.kt)("strong",{parentName:"p"},"move")," them into the functions. If they\nwere used afterwards, the compiler would force you to either borrow it, or\n",(0,s.kt)("em",{parentName:"p"},"clone-and-move")," for the function."),(0,s.kt)("hr",{parentName:"admonition"}),(0,s.kt)("p",{parentName:"admonition"},"Since we're doing it in Java, we get a reference to the ",(0,s.kt)("em",{parentName:"p"},"original")," array and we\ncan't do whatever we want with it.")),(0,s.kt)("h2",{id:"summary"},"Summary"),(0,s.kt)("p",null,"And we've finally reached the end. We have seen 4 different \u201csolutions\u201d",(0,s.kt)("sup",{parentName:"p",id:"fnref-4"},(0,s.kt)("a",{parentName:"sup",href:"#fn-4",className:"footnote-ref"},"4"))," of\nthe same problem using different approaches. Different approaches follow the\norder in which you might come up with them, each approach influences its\nsuccessor and represents the way we can enhance the existing implementation."),(0,s.kt)("hr",null),(0,s.kt)("admonition",{title:"source",type:"info"},(0,s.kt)("p",{parentName:"admonition"},"You can find source code referenced in the text\n",(0,s.kt)("a",{parentName:"p",href:"pathname:///files/ib002/recursion/pyramid-slide-down.tar.gz"},"here"),".")),(0,s.kt)("div",{className:"footnotes"},(0,s.kt)("hr",{parentName:"div"}),(0,s.kt)("ol",{parentName:"div"},(0,s.kt)("li",{parentName:"ol",id:"fn-1"},"cause why not, right!?",(0,s.kt)("a",{parentName:"li",href:"#fnref-1",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-2"},"except the bottom row",(0,s.kt)("a",{parentName:"li",href:"#fnref-2",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-3"},"definitely not an RHCP reference \ud83d\ude09",(0,s.kt)("a",{parentName:"li",href:"#fnref-3",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-4"},"one was not correct, thus the quotes",(0,s.kt)("a",{parentName:"li",href:"#fnref-4",className:"footnote-backref"},"\u21a9")))))}c.isMDXComponent=!0}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[8442],{3905:(a,e,t)=>{t.d(e,{Zo:()=>o,kt:()=>h});var n=t(7294);function s(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function m(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,n)}return t}function p(a){for(var e=1;e=0||(s[t]=a[t]);return s}(a,e);if(Object.getOwnPropertySymbols){var m=Object.getOwnPropertySymbols(a);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(s[t]=a[t])}return s}var l=n.createContext({}),i=function(a){var e=n.useContext(l),t=e;return a&&(t="function"==typeof a?a(e):p(p({},e),a)),t},o=function(a){var e=i(a.components);return n.createElement(l.Provider,{value:e},a.children)},N="mdxType",c={inlineCode:"code",wrapper:function(a){var e=a.children;return n.createElement(n.Fragment,{},e)}},k=n.forwardRef((function(a,e){var t=a.components,s=a.mdxType,m=a.originalType,l=a.parentName,o=r(a,["components","mdxType","originalType","parentName"]),N=i(t),k=s,h=N["".concat(l,".").concat(k)]||N[k]||c[k]||m;return t?n.createElement(h,p(p({ref:e},o),{},{components:t})):n.createElement(h,p({ref:e},o))}));function h(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var m=t.length,p=new Array(m);p[0]=k;var r={};for(var l in e)hasOwnProperty.call(e,l)&&(r[l]=e[l]);r.originalType=a,r[N]="string"==typeof a?a:s,p[1]=r;for(var i=2;i{t.r(e),t.d(e,{assets:()=>l,contentTitle:()=>p,default:()=>c,frontMatter:()=>m,metadata:()=>r,toc:()=>i});var n=t(7462),s=(t(7294),t(3905));const m={id:"pyramid-slide-down",title:"Introduction to dynamic programming",description:"Solving a problem in different ways.\n",tags:["java","recursion","exponential","greedy","dynamic-programming","top-down-dp","bottom-up-dp"],last_updated:{date:new Date("2023-08-17T00:00:00.000Z")}},p=void 0,r={unversionedId:"recursion/pyramid-slide-down",id:"recursion/pyramid-slide-down",title:"Introduction to dynamic programming",description:"Solving a problem in different ways.\n",source:"@site/ib002/04-recursion/2023-08-17-pyramid-slide-down.md",sourceDirName:"04-recursion",slug:"/recursion/pyramid-slide-down",permalink:"/ib002/recursion/pyramid-slide-down",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/04-recursion/2023-08-17-pyramid-slide-down.md",tags:[{label:"java",permalink:"/ib002/tags/java"},{label:"recursion",permalink:"/ib002/tags/recursion"},{label:"exponential",permalink:"/ib002/tags/exponential"},{label:"greedy",permalink:"/ib002/tags/greedy"},{label:"dynamic-programming",permalink:"/ib002/tags/dynamic-programming"},{label:"top-down-dp",permalink:"/ib002/tags/top-down-dp"},{label:"bottom-up-dp",permalink:"/ib002/tags/bottom-up-dp"}],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"pyramid-slide-down",title:"Introduction to dynamic programming",description:"Solving a problem in different ways.\n",tags:["java","recursion","exponential","greedy","dynamic-programming","top-down-dp","bottom-up-dp"],last_updated:{date:"2023-08-17T00:00:00.000Z"}},sidebar:"autogeneratedBar",previous:{title:"Recursion and backtracking with Robot Karel",permalink:"/ib002/recursion/karel-1"},next:{title:"Red-Black Trees",permalink:"/ib002/category/red-black-trees"}},l={},i=[{value:"Problem",id:"problem",level:2},{value:"Solving the problem",id:"solving-the-problem",level:2},{value:"Na\xefve solution",id:"na\xefve-solution",level:2},{value:"Time complexity",id:"time-complexity",level:3},{value:"Greedy solution",id:"greedy-solution",level:2},{value:"Time complexity",id:"time-complexity-1",level:3},{value:"Running the tests",id:"running-the-tests",level:3},{value:"Top-down DP",id:"top-down-dp",level:2},{value:"Time complexity",id:"time-complexity-2",level:3},{value:"Memory complexity",id:"memory-complexity",level:3},{value:"Bottom-up DP",id:"bottom-up-dp",level:2},{value:"Time complexity",id:"time-complexity-3",level:3},{value:"Memory complexity",id:"memory-complexity-1",level:3},{value:"Summary",id:"summary",level:2}],o={toc:i},N="wrapper";function c(a){let{components:e,...t}=a;return(0,s.kt)(N,(0,n.Z)({},o,t,{components:e,mdxType:"MDXLayout"}),(0,s.kt)("p",null,"In this post we will try to solve one problem in different ways."),(0,s.kt)("h2",{id:"problem"},"Problem"),(0,s.kt)("p",null,"The problem we are going to solve is one of ",(0,s.kt)("em",{parentName:"p"},"CodeWars")," katas and is called\n",(0,s.kt)("a",{parentName:"p",href:"https://www.codewars.com/kata/551f23362ff852e2ab000037"},"Pyramid Slide Down"),"."),(0,s.kt)("p",null,"We are given a 2D array of integers and we are to find the ",(0,s.kt)("em",{parentName:"p"},"slide down"),".\n",(0,s.kt)("em",{parentName:"p"},"Slide down")," is a maximum sum of consecutive numbers from the top to the bottom."),(0,s.kt)("p",null,"Let's have a look at few examples. Consider the following pyramid:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," 3\n 7 4\n 2 4 6\n8 5 9 3\n")),(0,s.kt)("p",null,"This pyramid has following slide down:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," *3\n *7 4\n 2 *4 6\n8 5 *9 3\n")),(0,s.kt)("p",null,"And its value is ",(0,s.kt)("inlineCode",{parentName:"p"},"23"),"."),(0,s.kt)("p",null,"We can also have a look at a ",(0,s.kt)("em",{parentName:"p"},"bigger")," example:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," 75\n 95 64\n 17 47 82\n 18 35 87 10\n 20 4 82 47 65\n 19 1 23 3 34\n 88 2 77 73 7 63 67\n 99 65 4 28 6 16 70 92\n 41 41 26 56 83 40 80 70 33\n 41 48 72 33 47 32 37 16 94 29\n 53 71 44 65 25 43 91 52 97 51 14\n 70 11 33 28 77 73 17 78 39 68 17 57\n 91 71 52 38 17 14 91 43 58 50 27 29 48\n 63 66 4 68 89 53 67 30 73 16 69 87 40 31\n 4 62 98 27 23 9 70 98 73 93 38 53 60 4 23\n")),(0,s.kt)("p",null,"Slide down in this case is equal to ",(0,s.kt)("inlineCode",{parentName:"p"},"1074"),"."),(0,s.kt)("h2",{id:"solving-the-problem"},"Solving the problem"),(0,s.kt)("admonition",{type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"I will describe the following ways you can approach this problem and implement\nthem in ",(0,s.kt)("em",{parentName:"p"},"Java"),(0,s.kt)("sup",{parentName:"p",id:"fnref-1"},(0,s.kt)("a",{parentName:"sup",href:"#fn-1",className:"footnote-ref"},"1")),".")),(0,s.kt)("p",null,"For all of the following solutions I will be using basic ",(0,s.kt)("inlineCode",{parentName:"p"},"main")," function that\nwill output ",(0,s.kt)("inlineCode",{parentName:"p"},"true"),"/",(0,s.kt)("inlineCode",{parentName:"p"},"false")," based on the expected output of our algorithm. Any\nother differences will lie only in the solutions of the problem. You can see the\n",(0,s.kt)("inlineCode",{parentName:"p"},"main")," here:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},'public static void main(String[] args) {\n System.out.print("Test #1: ");\n System.out.println(longestSlideDown(new int[][] {\n { 3 },\n { 7, 4 },\n { 2, 4, 6 },\n { 8, 5, 9, 3 }\n }) == 23 ? "passed" : "failed");\n\n System.out.print("Test #2: ");\n System.out.println(longestSlideDown(new int[][] {\n { 75 },\n { 95, 64 },\n { 17, 47, 82 },\n { 18, 35, 87, 10 },\n { 20, 4, 82, 47, 65 },\n { 19, 1, 23, 75, 3, 34 },\n { 88, 2, 77, 73, 7, 63, 67 },\n { 99, 65, 4, 28, 6, 16, 70, 92 },\n { 41, 41, 26, 56, 83, 40, 80, 70, 33 },\n { 41, 48, 72, 33, 47, 32, 37, 16, 94, 29 },\n { 53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14 },\n { 70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57 },\n { 91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48 },\n { 63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31 },\n { 4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23 },\n }) == 1074 ? "passed" : "failed");\n}\n')),(0,s.kt)("h2",{id:"na\xefve-solution"},"Na\xefve solution"),(0,s.kt)("p",null,"Our na\xefve solution consists of trying out all the possible slides and finding\nthe one with maximum sum."),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid, int row, int col) {\n if (row >= pyramid.length || col < 0 || col >= pyramid[row].length) {\n // BASE: We have gotten out of bounds, there's no reasonable value to\n // return, so we just return the \u2039MIN_VALUE\u203a to ensure that it cannot\n // be maximum.\n return Integer.MIN_VALUE;\n }\n\n if (row == pyramid.length - 1) {\n // BASE: Bottom of the pyramid, we just return the value, there's\n // nowhere to slide anymore.\n return pyramid[row][col];\n }\n\n // Otherwise we account for the current position and return maximum of the\n // available \u201cslides\u201d.\n return pyramid[row][col] + Math.max(\n longestSlideDown(pyramid, row + 1, col),\n longestSlideDown(pyramid, row + 1, col + 1));\n}\n\npublic static int longestSlideDown(int[][] pyramid) {\n // We start the slide in the top cell of the pyramid.\n return longestSlideDown(pyramid, 0, 0);\n}\n")),(0,s.kt)("p",null,"As you can see, we have 2 overloads:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"int longestSlideDown(int[][] pyramid);\nint longestSlideDown(int[][] pyramid, int row, int col);\n")),(0,s.kt)("p",null,"First one is used as a ",(0,s.kt)("em",{parentName:"p"},"public interface")," to the solution, you just pass in the\npyramid itself. Second one is the recursive \u201calgorithm\u201d that finds the slide\ndown."),(0,s.kt)("p",null,"It is a relatively simple solution\u2026 There's nothing to do at the bottom of the\npyramid, so we just return the value in the ",(0,s.kt)("em",{parentName:"p"},"cell"),". Otherwise we add it and try\nto slide down the available cells below the current row."),(0,s.kt)("h3",{id:"time-complexity"},"Time complexity"),(0,s.kt)("p",null,"If you get the source code and run it yourself, it runs rather fine\u2026 I hope you\nare wondering about the time complexity of the proposed solution and, since it\nreally is a na\xefve solution, the time complexity is pretty bad. Let's find the\nworst case scenario."),(0,s.kt)("p",null,"Let's start with the first overload:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid) {\n return longestSlideDown(pyramid, 0, 0);\n}\n")),(0,s.kt)("p",null,"There's not much to do here, so we can safely say that the time complexity of\nthis function is bounded by ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"))))),", where ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6833em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T")))))," is our second overload. This\ndoesn't tell us anything, so let's move on to the second overload where we are\ngoing to define the ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))," function."),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid, int row, int col) {\n if (row >= pyramid.length || col < 0 || col >= pyramid[row].length) {\n // BASE: We have gotten out of bounds, there's no reasonable value to\n // return, so we just return the \u2039MIN_VALUE\u203a to ensure that it cannot\n // be maximum.\n return Integer.MIN_VALUE;\n }\n\n if (row == pyramid.length - 1) {\n // BASE: Bottom of the pyramid, we just return the value, there's\n // nowhere to slide anymore.\n return pyramid[row][col];\n }\n\n // Otherwise we account for the current position and return maximum of the\n // available \u201cslides\u201d.\n return pyramid[row][col] + Math.max(\n longestSlideDown(pyramid, row + 1, col),\n longestSlideDown(pyramid, row + 1, col + 1));\n}\n")),(0,s.kt)("p",null,"Fun fact is that the whole \u201calgorithm\u201d consists of just 2 ",(0,s.kt)("inlineCode",{parentName:"p"},"return")," statements\nand nothing else. Let's dissect them!"),(0,s.kt)("p",null,"First ",(0,s.kt)("inlineCode",{parentName:"p"},"return")," statement is the base case, so it has a constant time complexity."),(0,s.kt)("p",null,"Second one a bit tricky. We add two numbers together, which we'll consider as\nconstant, but for the right part of the expression we take maximum from the left\nand right paths. OK\u2026 So what happens? We evaluate the ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown")," while\nchoosing the under and right both. They are separate computations though, so we\nare branching from each call of ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown"),", unless it's a base case."),(0,s.kt)("p",null,"What does that mean for us then? We basically get"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"{"),(0,s.kt)("mtable",{parentName:"mrow",rowspacing:"0.36em",columnalign:"left left",columnspacing:"1em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mn",{parentName:"mstyle"},"1"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mtext",{parentName:"mrow"},",\xa0if\xa0"),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"))))),(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mn",{parentName:"mrow"},"1"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"1"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"false"},(0,s.kt)("mtext",{parentName:"mstyle"},",\xa0otherwise"))))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(y) = \\begin{cases} 1 & \\text{, if } y = rows \\\\ 1 + 2 \\cdot T(y + 1) & \\text{, otherwise} \\end{cases}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3em",verticalAlign:"-1.25em"}}),(0,s.kt)("span",{parentName:"span",className:"minner"},(0,s.kt)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},(0,s.kt)("span",{parentName:"span",className:"delimsizing size4"},"{")),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.69em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"},"1"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.25em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"},"1"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"1"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"arraycolsep",style:{width:"1em"}}),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.69em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.69em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},",\xa0if\xa0")),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.25em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.008em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord text"},(0,s.kt)("span",{parentName:"span",className:"mord"},",\xa0otherwise"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.19em"}},(0,s.kt)("span",{parentName:"span"}))))))),(0,s.kt)("span",{parentName:"span",className:"mclose nulldelimiter"}))))))),(0,s.kt)("p",null,"That looks rather easy to compute, isn't it? If you sum it up, you'll get:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"T"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mo",{parentName:"mrow"},"\u2208"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("msup",{parentName:"mrow"},(0,s.kt)("mn",{parentName:"msup"},"2"),(0,s.kt)("mrow",{parentName:"msup"},(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"))),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"T(rows) \\in \\mathcal{O}(2^{rows})")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.13889em"}},"T"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"\u2208"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.7144em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.113em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight"},"s"))))))))),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"If you wonder why, I'll try to describe it intuitively:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"In each call to ",(0,s.kt)("inlineCode",{parentName:"li"},"longestSlideDown")," we do some work in constant time,\nregardless of being in the base case. Those are the ",(0,s.kt)("inlineCode",{parentName:"li"},"1"),"s in both cases."),(0,s.kt)("li",{parentName:"ol"},"If we are not in the base case, we move one row down ",(0,s.kt)("strong",{parentName:"li"},"twice"),". That's how we\nobtained ",(0,s.kt)("inlineCode",{parentName:"li"},"2 *")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"y + 1")," in the ",(0,s.kt)("em",{parentName:"li"},"otherwise")," case."),(0,s.kt)("li",{parentName:"ol"},"We move row-by-row, so we move down ",(0,s.kt)("inlineCode",{parentName:"li"},"y"),"-times and each call splits to two\nsubtrees."),(0,s.kt)("li",{parentName:"ol"},"Overall, if we were to represent the calls as a tree, we would get a full\nbinary tree of height ",(0,s.kt)("inlineCode",{parentName:"li"},"y"),", in each node we do some work in constant time,\ntherefore we can just sum the ones.")),(0,s.kt)("admonition",{type:"warning"},(0,s.kt)("p",{parentName:"admonition"},"It would've been more complicated to get an exact result. In the equation above\nwe are assuming that the width of the pyramid is bound by the height.")),(0,s.kt)("p",null,"Hopefully we can agree that this is not the best we can do. \ud83d\ude09"),(0,s.kt)("h2",{id:"greedy-solution"},"Greedy solution"),(0,s.kt)("p",null,"We will try to optimize it a bit. Let's start with a relatively simple ",(0,s.kt)("em",{parentName:"p"},"greedy"),"\napproach."),(0,s.kt)("admonition",{title:"Greedy algorithms",type:"info"},(0,s.kt)("p",{parentName:"admonition"},(0,s.kt)("em",{parentName:"p"},"Greedy algorithms")," can be described as algorithms that decide the action on the\noptimal option at the moment.")),(0,s.kt)("p",null,"We can try to adjust the na\xefve solution. The most problematic part are the\nrecursive calls. Let's apply the greedy approach there:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid, int row, int col) {\n if (row == pyramid.length - 1) {\n // BASE: We're at the bottom\n return pyramid[row][col];\n }\n\n if (col + 1 >= pyramid[row + 1].length\n || pyramid[row + 1][col] > pyramid[row + 1][col + 1]) {\n // If we cannot go right or it's not feasible, we continue to the left.\n return pyramid[row][col] + longestSlideDown(pyramid, row + 1, col);\n }\n\n // Otherwise we just move to the right.\n return pyramid[row][col] + longestSlideDown(pyramid, row + 1, col + 1);\n}\n")),(0,s.kt)("p",null,"OK, if we cannot go right ",(0,s.kt)("strong",{parentName:"p"},"or")," the right path adds smaller value to the sum,\nwe simply go left."),(0,s.kt)("h3",{id:"time-complexity-1"},"Time complexity"),(0,s.kt)("p",null,"We have switched from ",(0,s.kt)("em",{parentName:"p"},"adding the maximum")," to ",(0,s.kt)("em",{parentName:"p"},"following the \u201cbigger\u201d path"),", so\nwe improved the time complexity tremendously. We just go down the pyramid all\nthe way to the bottom. Therefore we are getting:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(rows)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"We have managed to convert our exponential solution into a linear one."),(0,s.kt)("h3",{id:"running-the-tests"},"Running the tests"),(0,s.kt)("p",null,"However, if we run the tests, we notice that the second test failed:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"},"Test #1: passed\nTest #2: failed\n")),(0,s.kt)("p",null,"What's going on? Well, we have improved the time complexity, but greedy\nalgorithms are not the ideal solution to ",(0,s.kt)("strong",{parentName:"p"},"all")," problems. In this case there\nmay be a solution that is bigger than the one found using the greedy algorithm."),(0,s.kt)("p",null,"Imagine the following pyramid:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre"}," 1\n 2 3\n 5 6 7\n 8 9 10 11\n99 13 14 15 16\n")),(0,s.kt)("p",null,"We start at the top:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"1"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"2")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"3"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"3")," looks better, so we\nchoose it."),(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"3"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"6")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"7"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"7")," looks better, so we\nchoose it."),(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"7"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"10")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"11"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"11")," looks better, so we\nchoose it."),(0,s.kt)("li",{parentName:"ol"},"Current cell: ",(0,s.kt)("inlineCode",{parentName:"li"},"11"),", we can choose from ",(0,s.kt)("inlineCode",{parentName:"li"},"15")," and ",(0,s.kt)("inlineCode",{parentName:"li"},"16"),", ",(0,s.kt)("inlineCode",{parentName:"li"},"16")," looks better, so\nwe choose it.")),(0,s.kt)("p",null,"Our final sum is: ",(0,s.kt)("inlineCode",{parentName:"p"},"1 + 3 + 7 + 11 + 16 = 38"),", but in the bottom left cell we\nhave a ",(0,s.kt)("inlineCode",{parentName:"p"},"99")," that is bigger than our whole sum."),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"Dijkstra's algorithm is a greedy algorithm too, try to think why it is correct.")),(0,s.kt)("h2",{id:"top-down-dp"},"Top-down DP"),(0,s.kt)("p",null,(0,s.kt)("em",{parentName:"p"},"Top-down dynamic programming")," is probably the most common approach, since (at\nleast looks like) is the easiest to implement. The whole point is avoiding the\nunnecessary computations that we have already done."),(0,s.kt)("p",null,"In our case, we can use our na\xefve solution and put a ",(0,s.kt)("em",{parentName:"p"},"cache")," on top of it that\nwill make sure, we don't do unnecessary calculations."),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"// This \u201cstructure\u201d is required, since I have decided to use \u2039TreeMap\u203a which\n// requires the ordering on the keys. It represents one position in the pyramid.\nrecord Position(int row, int col) implements Comparable {\n public int compareTo(Position r) {\n if (row != r.row) {\n return Integer.valueOf(row).compareTo(r.row);\n }\n\n if (col != r.col) {\n return Integer.valueOf(col).compareTo(r.col);\n }\n\n return 0;\n }\n}\n\npublic static int longestSlideDown(\n int[][] pyramid,\n TreeMap cache,\n Position position) {\n int row = position.row;\n int col = position.col;\n\n if (row >= pyramid.length || col < 0 || col >= pyramid[row].length) {\n // BASE: out of bounds\n return Integer.MIN_VALUE;\n }\n\n if (row == pyramid.length - 1) {\n // BASE: bottom of the pyramid\n return pyramid[position.row][position.col];\n }\n\n if (!cache.containsKey(position)) {\n // We haven't computed the position yet, so we run the same \u201cformula\u201d as\n // in the na\xefve version \xbband\xab we put calculated slide into the cache.\n // Next time we want the slide down from given position, it will be just\n // retrieved from the cache.\n int slideDown = Math.max(\n longestSlideDown(pyramid, cache, new Position(row + 1, col)),\n longestSlideDown(pyramid, cache, new Position(row + 1, col + 1)));\n cache.put(position, pyramid[row][col] + slideDown);\n }\n\n return cache.get(position);\n}\n\npublic static int longestSlideDown(int[][] pyramid) {\n // At the beginning we need to create a cache and share it across the calls.\n TreeMap cache = new TreeMap<>();\n return longestSlideDown(pyramid, cache, new Position(0, 0));\n}\n")),(0,s.kt)("p",null,"You have probably noticed that ",(0,s.kt)("inlineCode",{parentName:"p"},"record Position")," have appeared. Since we are\ncaching the already computed values, we need a \u201creasonable\u201d key. In this case we\nshare the cache only for one ",(0,s.kt)("em",{parentName:"p"},"run")," (i.e. pyramid) of the ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown"),", so\nwe can cache just with the indices within the pyramid, i.e. the ",(0,s.kt)("inlineCode",{parentName:"p"},"Position"),"."),(0,s.kt)("admonition",{title:"Record",type:"tip"},(0,s.kt)("p",{parentName:"admonition"},(0,s.kt)("em",{parentName:"p"},"Record")," is relatively new addition to the Java language. It is basically an\nimmutable structure with implicitly defined ",(0,s.kt)("inlineCode",{parentName:"p"},".equals()"),", ",(0,s.kt)("inlineCode",{parentName:"p"},".hashCode()"),",\n",(0,s.kt)("inlineCode",{parentName:"p"},".toString()")," and getters for the attributes.")),(0,s.kt)("p",null,"Because of the choice of ",(0,s.kt)("inlineCode",{parentName:"p"},"TreeMap"),", we had to additionally define the ordering\non it."),(0,s.kt)("p",null,"In the ",(0,s.kt)("inlineCode",{parentName:"p"},"longestSlideDown")," you can notice that the computation which used to be\nat the end of the na\xefve version above, is now wrapped in an ",(0,s.kt)("inlineCode",{parentName:"p"},"if")," statement that\nchecks for the presence of the position in the cache and computes the slide down\njust when it's needed."),(0,s.kt)("h3",{id:"time-complexity-2"},"Time complexity"),(0,s.kt)("p",null,"If you think that evaluating time complexity for this approach is a bit more\ntricky, you are right. Keeping the cache in mind, it is not the easiest thing\nto do. However there are some observations that might help us figure this out:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},"Slide down from each position is calculated only once."),(0,s.kt)("li",{parentName:"ol"},"Once calculated, we use the result from the cache.")),(0,s.kt)("p",null,"Knowing this, we still cannot, at least easily, describe the time complexity of\nfinding the best slide down from a specific position, ",(0,s.kt)("strong",{parentName:"p"},"but")," we can bound it\nfrom above for the ",(0,s.kt)("strong",{parentName:"p"},"whole")," run from the top. Now the question is how we can do\nthat!"),(0,s.kt)("p",null,"Overall we are doing the same things for almost",(0,s.kt)("sup",{parentName:"p",id:"fnref-2"},(0,s.kt)("a",{parentName:"sup",href:"#fn-2",className:"footnote-ref"},"2"))," all of the positions within\nthe pyramid:"),(0,s.kt)("ol",null,(0,s.kt)("li",{parentName:"ol"},(0,s.kt)("p",{parentName:"li"},"We calculate and store it (using the partial results stored in cache). This\nis done only once."),(0,s.kt)("p",{parentName:"li"},"For each calculation we take 2 values from the cache and insert one value.\nBecause we have chosen ",(0,s.kt)("inlineCode",{parentName:"p"},"TreeMap"),", these 3 operations have logarithmic time\ncomplexity and therefore this step is equivalent to ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"3"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("msub",{parentName:"mrow"},(0,s.kt)("mrow",{parentName:"msub"},(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061")),(0,s.kt)("mn",{parentName:"msub"},"2")),(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"3 \\cdot \\log_2{n}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"3"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.9386em",verticalAlign:"-0.2441em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.207em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-2.4559em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"2")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.2441em"}},(0,s.kt)("span",{parentName:"span"})))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))),"."),(0,s.kt)("p",{parentName:"li"},"However for the sake of simplicity, we are going to account only for the\ninsertion, the reason is rather simple, if we include the 2 retrievals here,\nit will be interleaved with the next step, therefore it is easier to keep the\nretrievals in the following point."),(0,s.kt)("admonition",{parentName:"li",type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"You might have noticed it's still not that easy, cause we're not having full\ncache right from the beginning, but the sum of those logarithms cannot be\nexpressed in a nice way, so taking the upper bound, i.e. expecting the cache\nto be full at all times, is the best option for nice and readable complexity\nof the whole approach.")),(0,s.kt)("p",{parentName:"li"},"Our final upper bound of this work is therefore ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("msub",{parentName:"mrow"},(0,s.kt)("mrow",{parentName:"msub"},(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061")),(0,s.kt)("mn",{parentName:"msub"},"2")),(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\log_2{n}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.9386em",verticalAlign:"-0.2441em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.207em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-2.4559em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"2")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.2441em"}},(0,s.kt)("span",{parentName:"span"})))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))),".")),(0,s.kt)("li",{parentName:"ol"},(0,s.kt)("p",{parentName:"li"},"We retrieve it from the cache. Same as in first point, but only twice, so we\nget ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("msub",{parentName:"mrow"},(0,s.kt)("mrow",{parentName:"msub"},(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061")),(0,s.kt)("mn",{parentName:"msub"},"2")),(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"2 \\cdot \\log_2{n}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.9386em",verticalAlign:"-0.2441em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"msupsub"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.207em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-2.4559em",marginRight:"0.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"2.7em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"2")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.2441em"}},(0,s.kt)("span",{parentName:"span"})))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))),". "),(0,s.kt)("admonition",{parentName:"li",type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"It's done twice because of the ",(0,s.kt)("inlineCode",{parentName:"p"},".containsKey()")," in the ",(0,s.kt)("inlineCode",{parentName:"p"},"if")," condition.")))),(0,s.kt)("p",null,"Okay, we have evaluated work done for each of the cells in the pyramid and now\nwe need to put it together."),(0,s.kt)("p",null,"Let's split the time complexity of our solution into two operands:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(r + s)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"r")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"r")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r")))))," will represent the ",(0,s.kt)("em",{parentName:"p"},"actual")," calculation of the cells and ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"s")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))))," will represent\nthe additional retrievals on top of the calculation."),(0,s.kt)("p",null,"We calculate the values only ",(0,s.kt)("strong",{parentName:"p"},"once"),", therefore we can safely agree on:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mtable",{parentName:"semantics",rowspacing:"0.25em",columnalign:"right left",columnspacing:"0em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"r"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n")))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{align*} r &= n \\cdot \\log{n} \\\\ \\end{align*}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1.5em",verticalAlign:"-0.5em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-r"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.16em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.5em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.16em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"0.5em"}},(0,s.kt)("span",{parentName:"span"})))))))))))),(0,s.kt)("p",null,"What about the ",(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"s")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"s")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))))," though? Key observation here is the fact that we have 2\nlookups on the tree in each of them ",(0,s.kt)("strong",{parentName:"p"},"and")," we do it twice, cause each cell has\nat most 2 parents:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mtable",{parentName:"semantics",rowspacing:"0.25em",columnalign:"right left",columnspacing:"0em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"s"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"("),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",fence:"true"},")")))))),(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"s"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"4"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n")))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{align*} s &= n \\cdot 2 \\cdot \\left( 2 \\cdot \\log{n} \\right) \\\\ s &= 4 \\cdot n \\cdot \\log{n} \\end{align*}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3em",verticalAlign:"-1.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-r"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"minner"},(0,s.kt)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"("),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},")")))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"4"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"})))))))))))),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"You might've noticed that lookups actually take more time than the construction\nof the results. This is not entirely true, since we have included the\n",(0,s.kt)("inlineCode",{parentName:"p"},".containsKey()")," and ",(0,s.kt)("inlineCode",{parentName:"p"},".get()")," from the ",(0,s.kt)("inlineCode",{parentName:"p"},"return")," statement in the second part."),(0,s.kt)("p",{parentName:"admonition"},"If we were to represent this more precisely, we could've gone with:"),(0,s.kt)("div",{parentName:"admonition",className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mtable",{parentName:"semantics",rowspacing:"0.25em",columnalign:"right left",columnspacing:"0em"},(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"r"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"3"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"))))),(0,s.kt)("mtr",{parentName:"mtable"},(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mi",{parentName:"mstyle"},"s"))),(0,s.kt)("mtd",{parentName:"mtr"},(0,s.kt)("mstyle",{parentName:"mtd",scriptlevel:"0",displaystyle:"true"},(0,s.kt)("mrow",{parentName:"mstyle"},(0,s.kt)("mrow",{parentName:"mrow"}),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n")))))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\begin{align*} r &= 3 \\cdot n \\cdot \\log{n} \\\\ s &= 2 \\cdot n \\cdot \\log{n} \\end{align*}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3em",verticalAlign:"-1.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mtable"},(0,s.kt)("span",{parentName:"span",className:"col-align-r"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r"))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s")))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"col-align-l"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.75em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-3.91em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"3"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))),(0,s.kt)("span",{parentName:"span",style:{top:"-2.41em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord"}),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mrel"},"="),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2778em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.25em"}},(0,s.kt)("span",{parentName:"span"})))))))))))),(0,s.kt)("p",{parentName:"admonition"},"On the other hand we are summing both numbers together, therefore in the end it\ndoesn't really matter."),(0,s.kt)("p",{parentName:"admonition"},"(",(0,s.kt)("em",{parentName:"p"},"Feel free to compare the sums of both \u201csplits\u201d."),")")),(0,s.kt)("p",null,"And so our final time complexity for the whole ",(0,s.kt)("em",{parentName:"p"},"top-down dynamic programming"),"\napproach is:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mspace",{parentName:"mrow",linebreak:"newline"}),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"4"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mspace",{parentName:"mrow",linebreak:"newline"}),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mn",{parentName:"mrow"},"5"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")"),(0,s.kt)("mspace",{parentName:"mrow",linebreak:"newline"}),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow"},"\u22c5"),(0,s.kt)("mi",{parentName:"mrow"},"log"),(0,s.kt)("mo",{parentName:"mrow"},"\u2061"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(r + s) \\\\ \\mathcal{O}(n \\cdot \\log{n} + 4 \\cdot n \\cdot \\log{n}) \\\\ \\mathcal{O}(5 \\cdot n \\cdot \\log{n}) \\\\ \\mathcal{O}(n \\cdot \\log{n})")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02778em"}},"r"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")),(0,s.kt)("span",{parentName:"span",className:"mspace newline"}),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.8889em",verticalAlign:"-0.1944em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.6444em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"4"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4445em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")),(0,s.kt)("span",{parentName:"span",className:"mspace newline"}),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord"},"5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4445em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")),(0,s.kt)("span",{parentName:"span",className:"mspace newline"}),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"\u22c5"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mop"},"lo",(0,s.kt)("span",{parentName:"span",style:{marginRight:"0.01389em"}},"g")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"As you can see, this is worse than our ",(0,s.kt)("em",{parentName:"p"},"greedy")," solution that was incorrect, but\nit's better than the ",(0,s.kt)("em",{parentName:"p"},"na\xefve")," one."),(0,s.kt)("h3",{id:"memory-complexity"},"Memory complexity"),(0,s.kt)("p",null,"With this approach we need to talk about the memory complexity too, because we\nhave introduced cache. If you think that the memory complexity is linear to the\ninput, you are right. We start at the top and try to find each and every slide\ndown. At the end we get the final result for ",(0,s.kt)("inlineCode",{parentName:"p"},"new Position(0, 0)"),", so we need to\ncompute everything below."),(0,s.kt)("p",null,"That's how we obtain:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,(0,s.kt)("span",{parentName:"p",className:"math math-inline"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow"},"n")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"n")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"0.4306em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n")))))," represents the total amount of cells in the pyramid, i.e."),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("munderover",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"munderover"},"\u2211"),(0,s.kt)("mrow",{parentName:"munderover"},(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow"},"="),(0,s.kt)("mn",{parentName:"mrow"},"0")),(0,s.kt)("mrow",{parentName:"munderover"},(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"p"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"y"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"r"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"a"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"m"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"i"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"d"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"."),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"l"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"e"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"n"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"g"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"t"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"h")),(0,s.kt)("mo",{parentName:"mrow"},"\u2212"),(0,s.kt)("mn",{parentName:"mrow"},"1"))),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"p"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"y"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"r"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"a"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"m"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"i"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"d")),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"["),(0,s.kt)("mi",{parentName:"mrow"},"y"),(0,s.kt)("mo",{parentName:"mrow",fence:"true"},"]")),(0,s.kt)("mrow",{parentName:"mrow"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"."),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"l"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"e"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"n"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"g"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"t"),(0,s.kt)("mi",{parentName:"mrow",mathvariant:"monospace"},"h"))),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\sum_{y=0}^{\\mathtt{pyramid.length} - 1} \\mathtt{pyramid}\\left[y\\right]\\mathtt{.length}")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"3.2709em",verticalAlign:"-1.4032em"}}),(0,s.kt)("span",{parentName:"span",className:"mop op-limits"},(0,s.kt)("span",{parentName:"span",className:"vlist-t vlist-t2"},(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.8677em"}},(0,s.kt)("span",{parentName:"span",style:{top:"-1.8829em",marginLeft:"0em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.05em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mathnormal mtight",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mrel mtight"},"="),(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"0")))),(0,s.kt)("span",{parentName:"span",style:{top:"-3.05em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.05em"}}),(0,s.kt)("span",{parentName:"span"},(0,s.kt)("span",{parentName:"span",className:"mop op-symbol large-op"},"\u2211"))),(0,s.kt)("span",{parentName:"span",style:{top:"-4.3666em",marginLeft:"0em"}},(0,s.kt)("span",{parentName:"span",className:"pstrut",style:{height:"3.05em"}}),(0,s.kt)("span",{parentName:"span",className:"sizing reset-size6 size3 mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mtight"},(0,s.kt)("span",{parentName:"span",className:"mord mathtt mtight"},"pyramid.length")),(0,s.kt)("span",{parentName:"span",className:"mbin mtight"},"\u2212"),(0,s.kt)("span",{parentName:"span",className:"mord mtight"},"1"))))),(0,s.kt)("span",{parentName:"span",className:"vlist-s"},"\u200b")),(0,s.kt)("span",{parentName:"span",className:"vlist-r"},(0,s.kt)("span",{parentName:"span",className:"vlist",style:{height:"1.4032em"}},(0,s.kt)("span",{parentName:"span"}))))),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathtt"},"pyramid")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"minner"},(0,s.kt)("span",{parentName:"span",className:"mopen delimcenter",style:{top:"0em"}},"["),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.03588em"}},"y"),(0,s.kt)("span",{parentName:"span",className:"mclose delimcenter",style:{top:"0em"}},"]")),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.1667em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},(0,s.kt)("span",{parentName:"span",className:"mord mathtt"},".length"))))))),(0,s.kt)("admonition",{type:"caution"},(0,s.kt)("p",{parentName:"admonition"},"If you're wondering whether it's correct because of the second ",(0,s.kt)("inlineCode",{parentName:"p"},"if")," in our\nfunction, your guess is right. However we are expressing the complexity in the\nBachmann-Landau notation, so we care about the ",(0,s.kt)("strong",{parentName:"p"},"upper bound"),", not the exact\nnumber.")),(0,s.kt)("admonition",{title:"Can this be optimized?",type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"Yes, it can! Try to think about a way, how can you minimize the memory\ncomplexity of this approach. I'll give you a hint:"),(0,s.kt)("div",{parentName:"admonition",className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(rows)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")"))))))),(0,s.kt)("h2",{id:"bottom-up-dp"},"Bottom-up DP"),(0,s.kt)("p",null,"If you try to think in depth about the top-down DP solution, you might notice\nthat the ",(0,s.kt)("em",{parentName:"p"},"core")," of it stands on caching the calculations that have been already\ndone on the lower \u201clevels\u201d of the pyramid. Our bottom-up implementation will be\nusing this fact!"),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"As I have said in the ",(0,s.kt)("em",{parentName:"p"},"top-down DP")," section, it is the easiest way to implement\nDP (unless the cached function has complicated parameters, in that case it might\nget messy)."),(0,s.kt)("p",{parentName:"admonition"},"Bottom-up dynamic programming can be more effective, but may be more complicated\nto implement right from the beginning.")),(0,s.kt)("p",null,"Let's see how we can implement it:"),(0,s.kt)("pre",null,(0,s.kt)("code",{parentName:"pre",className:"language-java"},"public static int longestSlideDown(int[][] pyramid) {\n // In the beginning we declare new array. At this point it is easier to just\n // work with the one dimension, i.e. just allocating the space for the rows.\n int[][] slideDowns = new int[pyramid.length][];\n\n // Bottom row gets just copied, there's nothing else to do\u2026 It's the base\n // case.\n slideDowns[pyramid.length - 1] = Arrays.copyOf(pyramid[pyramid.length - 1],\n pyramid[pyramid.length - 1].length);\n\n // Then we need to propagate the found slide downs for each of the levels\n // above.\n for (int y = pyramid.length - 2; y >= 0; --y) {\n // We start by copying the values lying in the row we're processing.\n // They get included in the final sum and we need to allocate the space\n // for the precalculated slide downs anyways.\n int[] row = Arrays.copyOf(pyramid[y], pyramid[y].length);\n\n // At this we just need to \u201cfetch\u201d the partial results from \u201cneighbours\u201d\n for (int x = 0; x < row.length; ++x) {\n // We look under our position, since we expect the rows to get\n // shorter, we can safely assume such position exists.\n int under = slideDowns[y + 1][x];\n\n // Then we have a look to the right, such position doesn't have to\n // exist, e.g. on the right edge, so we validate the index, and if\n // it doesn't exist, we just assign minimum of the \u2039int\u203a which makes\n // sure that it doesn't get picked in the \u2039Math.max()\u203a call.\n int toRight = x + 1 < slideDowns[y + 1].length\n ? slideDowns[y + 1][x + 1]\n : Integer.MIN_VALUE;\n\n // Finally we add the best choice at this point.\n row[x] += Math.max(under, toRight);\n }\n\n // And save the row we've just calculated partial results for to the\n // \u201ctable\u201d.\n slideDowns[y] = row;\n }\n\n // At the end we can find our seeked slide down at the top cell.\n return slideDowns[0][0];\n}\n")),(0,s.kt)("p",null,"I've tried to explain the code as much as possible within the comments, since it\nmight be more beneficial to see right next to the \u201coffending\u201d lines."),(0,s.kt)("p",null,"As you can see, in this approach we go from the other side",(0,s.kt)("sup",{parentName:"p",id:"fnref-3"},(0,s.kt)("a",{parentName:"sup",href:"#fn-3",className:"footnote-ref"},"3")),", the bottom of\nthe pyramid and propagate the partial results up."),(0,s.kt)("admonition",{type:"info"},(0,s.kt)("mdxAdmonitionTitle",{parentName:"admonition"},"How is this different from the ",(0,s.kt)("em",{parentName:"mdxAdmonitionTitle"},"greedy")," solution???"),(0,s.kt)("p",{parentName:"admonition"},"If you try to compare them, you might find a very noticable difference. The\ngreedy approach is going from the top to the bottom without ",(0,s.kt)("strong",{parentName:"p"},"any")," knowledge of\nwhat's going on below. On the other hand, bottom-up DP is going from the bottom\n(",(0,s.kt)("em",{parentName:"p"},"DUH\u2026"),") and ",(0,s.kt)("strong",{parentName:"p"},"propagates")," the partial results to the top. The propagation is\nwhat makes sure that at the top I don't choose the best ",(0,s.kt)("strong",{parentName:"p"},"local")," choice, but\nthe best ",(0,s.kt)("strong",{parentName:"p"},"overall")," result I can achieve.")),(0,s.kt)("h3",{id:"time-complexity-3"},"Time complexity"),(0,s.kt)("p",null,"Time complexity of this solution is rather simple. We allocate an array for the\nrows and then for each row, we copy it and adjust the partial results. Doing\nthis we get:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"r"),(0,s.kt)("mi",{parentName:"mrow"},"o"),(0,s.kt)("mi",{parentName:"mrow"},"w"),(0,s.kt)("mi",{parentName:"mrow"},"s"),(0,s.kt)("mo",{parentName:"mrow"},"+"),(0,s.kt)("mn",{parentName:"mrow"},"2"),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(rows + 2n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"ro"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal",style:{marginRight:"0.02691em"}},"w"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"s"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}}),(0,s.kt)("span",{parentName:"span",className:"mbin"},"+"),(0,s.kt)("span",{parentName:"span",className:"mspace",style:{marginRight:"0.2222em"}})),(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord"},"2"),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("p",null,"Of course, this is an upper bound, since we iterate through the bottom row only\nonce."),(0,s.kt)("h3",{id:"memory-complexity-1"},"Memory complexity"),(0,s.kt)("p",null,"We're allocating an array for the pyramid ",(0,s.kt)("strong",{parentName:"p"},"again")," for our partial results, so\nwe get:"),(0,s.kt)("div",{className:"math math-display"},(0,s.kt)("span",{parentName:"div",className:"katex-display"},(0,s.kt)("span",{parentName:"span",className:"katex"},(0,s.kt)("span",{parentName:"span",className:"katex-mathml"},(0,s.kt)("math",{parentName:"span",xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},(0,s.kt)("semantics",{parentName:"math"},(0,s.kt)("mrow",{parentName:"semantics"},(0,s.kt)("mi",{parentName:"mrow",mathvariant:"script"},"O"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},"("),(0,s.kt)("mi",{parentName:"mrow"},"n"),(0,s.kt)("mo",{parentName:"mrow",stretchy:"false"},")")),(0,s.kt)("annotation",{parentName:"semantics",encoding:"application/x-tex"},"\\mathcal{O}(n)")))),(0,s.kt)("span",{parentName:"span",className:"katex-html","aria-hidden":"true"},(0,s.kt)("span",{parentName:"span",className:"base"},(0,s.kt)("span",{parentName:"span",className:"strut",style:{height:"1em",verticalAlign:"-0.25em"}}),(0,s.kt)("span",{parentName:"span",className:"mord mathcal",style:{marginRight:"0.02778em"}},"O"),(0,s.kt)("span",{parentName:"span",className:"mopen"},"("),(0,s.kt)("span",{parentName:"span",className:"mord mathnormal"},"n"),(0,s.kt)("span",{parentName:"span",className:"mclose"},")")))))),(0,s.kt)("admonition",{type:"tip"},(0,s.kt)("p",{parentName:"admonition"},"If we were writing this in C++ or Rust, we could've avoided that, but not\nreally."),(0,s.kt)("p",{parentName:"admonition"},"C++ would allow us to ",(0,s.kt)("strong",{parentName:"p"},"copy")," the pyramid rightaway into the parameter, so we\nwould be able to directly change it. However it's still a copy, even though we\ndon't need to allocate anything ourselves. It's just implicitly done for us."),(0,s.kt)("p",{parentName:"admonition"},"Rust is more funny in this case. If the pyramids weren't used after the call of\n",(0,s.kt)("inlineCode",{parentName:"p"},"longest_slide_down"),", it would simply ",(0,s.kt)("strong",{parentName:"p"},"move")," them into the functions. If they\nwere used afterwards, the compiler would force you to either borrow it, or\n",(0,s.kt)("em",{parentName:"p"},"clone-and-move")," for the function."),(0,s.kt)("hr",{parentName:"admonition"}),(0,s.kt)("p",{parentName:"admonition"},"Since we're doing it in Java, we get a reference to the ",(0,s.kt)("em",{parentName:"p"},"original")," array and we\ncan't do whatever we want with it.")),(0,s.kt)("h2",{id:"summary"},"Summary"),(0,s.kt)("p",null,"And we've finally reached the end. We have seen 4 different \u201csolutions\u201d",(0,s.kt)("sup",{parentName:"p",id:"fnref-4"},(0,s.kt)("a",{parentName:"sup",href:"#fn-4",className:"footnote-ref"},"4"))," of\nthe same problem using different approaches. Different approaches follow the\norder in which you might come up with them, each approach influences its\nsuccessor and represents the way we can enhance the existing implementation."),(0,s.kt)("hr",null),(0,s.kt)("admonition",{title:"source",type:"info"},(0,s.kt)("p",{parentName:"admonition"},"You can find source code referenced in the text\n",(0,s.kt)("a",{parentName:"p",href:"pathname:///files/ib002/recursion/pyramid-slide-down.tar.gz"},"here"),".")),(0,s.kt)("div",{className:"footnotes"},(0,s.kt)("hr",{parentName:"div"}),(0,s.kt)("ol",{parentName:"div"},(0,s.kt)("li",{parentName:"ol",id:"fn-1"},"cause why not, right!?",(0,s.kt)("a",{parentName:"li",href:"#fnref-1",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-2"},"except the bottom row",(0,s.kt)("a",{parentName:"li",href:"#fnref-2",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-3"},"definitely not an RHCP reference \ud83d\ude09",(0,s.kt)("a",{parentName:"li",href:"#fnref-3",className:"footnote-backref"},"\u21a9")),(0,s.kt)("li",{parentName:"ol",id:"fn-4"},"one was not correct, thus the quotes",(0,s.kt)("a",{parentName:"li",href:"#fnref-4",className:"footnote-backref"},"\u21a9")))))}c.isMDXComponent=!0}}]); \ No newline at end of file diff --git a/assets/js/834ed470.668efafa.js b/assets/js/834ed470.b514a3ca.js similarity index 98% rename from assets/js/834ed470.668efafa.js rename to assets/js/834ed470.b514a3ca.js index 1439636..af94a28 100644 --- a/assets/js/834ed470.668efafa.js +++ b/assets/js/834ed470.b514a3ca.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[3223],{3905:(e,t,r)=>{r.d(t,{Zo:()=>u,kt:()=>m});var n=r(7294);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function a(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var c=n.createContext({}),l=function(e){var t=n.useContext(c),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},u=function(e){var t=l(e.components);return n.createElement(c.Provider,{value:t},e.children)},p="mdxType",f={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},d=n.forwardRef((function(e,t){var r=e.components,o=e.mdxType,a=e.originalType,c=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),p=l(r),d=o,m=p["".concat(c,".").concat(d)]||p[d]||f[d]||a;return r?n.createElement(m,i(i({ref:t},u),{},{components:r})):n.createElement(m,i({ref:t},u))}));function m(e,t){var r=arguments,o=t&&t.mdxType;if("string"==typeof e||o){var a=r.length,i=new Array(a);i[0]=d;var s={};for(var c in t)hasOwnProperty.call(t,c)&&(s[c]=t[c]);s.originalType=e,s[p]="string"==typeof e?e:o,i[1]=s;for(var l=2;l{r.r(t),r.d(t,{assets:()=>c,contentTitle:()=>i,default:()=>f,frontMatter:()=>a,metadata:()=>s,toc:()=>l});var n=r(7462),o=(r(7294),r(3905));const a={id:"ib002-intro",title:"Introduction",slug:"/"},i=void 0,s={unversionedId:"ib002-intro",id:"ib002-intro",title:"Introduction",description:"In this part you can find \u201crandom\u201d additional materials I have written over the",source:"@site/ib002/00-intro-ib002.md",sourceDirName:".",slug:"/",permalink:"/ib002/",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/00-intro-ib002.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",sidebarPosition:0,frontMatter:{id:"ib002-intro",title:"Introduction",slug:"/"},sidebar:"autogeneratedBar",next:{title:"Algorithms and Correctness",permalink:"/ib002/category/algorithms-and-correctness"}},c={},l=[],u={toc:l},p="wrapper";function f(e){let{components:t,...r}=e;return(0,o.kt)(p,(0,n.Z)({},u,r,{components:t,mdxType:"MDXLayout"}),(0,o.kt)("p",null,"In this part you can find \u201crandom\u201d additional materials I have written over the\ncourse of teaching ",(0,o.kt)("em",{parentName:"p"},"Algorithms and data structures I"),"."),(0,o.kt)("p",null,"It is a various mix of stuff that may have been produced as a follow-up on some\nquestion asked at the seminar or spontanously."),(0,o.kt)("p",null,"If you have some ideas for posts, please do not hesitate to submit them as issues\nin the linked ",(0,o.kt)("a",{parentName:"p",href:"https://gitlab.fi.muni.cz/xfocko/kb/issues"},"GitLab"),"."))}f.isMDXComponent=!0}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[3223],{3905:(e,t,r)=>{r.d(t,{Zo:()=>u,kt:()=>m});var n=r(7294);function o(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}function a(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function i(e){for(var t=1;t=0||(o[r]=e[r]);return o}(e,t);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(e);for(n=0;n=0||Object.prototype.propertyIsEnumerable.call(e,r)&&(o[r]=e[r])}return o}var c=n.createContext({}),l=function(e){var t=n.useContext(c),r=t;return e&&(r="function"==typeof e?e(t):i(i({},t),e)),r},u=function(e){var t=l(e.components);return n.createElement(c.Provider,{value:t},e.children)},p="mdxType",f={inlineCode:"code",wrapper:function(e){var t=e.children;return n.createElement(n.Fragment,{},t)}},d=n.forwardRef((function(e,t){var r=e.components,o=e.mdxType,a=e.originalType,c=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),p=l(r),d=o,m=p["".concat(c,".").concat(d)]||p[d]||f[d]||a;return r?n.createElement(m,i(i({ref:t},u),{},{components:r})):n.createElement(m,i({ref:t},u))}));function m(e,t){var r=arguments,o=t&&t.mdxType;if("string"==typeof e||o){var a=r.length,i=new Array(a);i[0]=d;var s={};for(var c in t)hasOwnProperty.call(t,c)&&(s[c]=t[c]);s.originalType=e,s[p]="string"==typeof e?e:o,i[1]=s;for(var l=2;l{r.r(t),r.d(t,{assets:()=>c,contentTitle:()=>i,default:()=>f,frontMatter:()=>a,metadata:()=>s,toc:()=>l});var n=r(7462),o=(r(7294),r(3905));const a={id:"ib002-intro",title:"Introduction",slug:"/"},i=void 0,s={unversionedId:"ib002-intro",id:"ib002-intro",title:"Introduction",description:"In this part you can find \u201crandom\u201d additional materials I have written over the",source:"@site/ib002/00-intro-ib002.md",sourceDirName:".",slug:"/",permalink:"/ib002/",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/ib002/00-intro-ib002.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",sidebarPosition:0,frontMatter:{id:"ib002-intro",title:"Introduction",slug:"/"},sidebar:"autogeneratedBar",next:{title:"Algorithms and Correctness",permalink:"/ib002/category/algorithms-and-correctness"}},c={},l=[],u={toc:l},p="wrapper";function f(e){let{components:t,...r}=e;return(0,o.kt)(p,(0,n.Z)({},u,r,{components:t,mdxType:"MDXLayout"}),(0,o.kt)("p",null,"In this part you can find \u201crandom\u201d additional materials I have written over the\ncourse of teaching ",(0,o.kt)("em",{parentName:"p"},"Algorithms and data structures I"),"."),(0,o.kt)("p",null,"It is a various mix of stuff that may have been produced as a follow-up on some\nquestion asked at the seminar or spontanously."),(0,o.kt)("p",null,"If you have some ideas for posts, please do not hesitate to submit them as issues\nin the linked ",(0,o.kt)("a",{parentName:"p",href:"https://gitlab.fi.muni.cz/xfocko/kb/issues"},"GitLab"),"."))}f.isMDXComponent=!0}}]); \ No newline at end of file diff --git a/assets/js/83bf91d3.193b1d35.js b/assets/js/83bf91d3.a10088da.js similarity index 99% rename from assets/js/83bf91d3.193b1d35.js rename to assets/js/83bf91d3.a10088da.js index 9fa22c0..ad761ee 100644 --- a/assets/js/83bf91d3.193b1d35.js +++ b/assets/js/83bf91d3.a10088da.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[7823],{3905:(e,t,n)=>{n.d(t,{Zo:()=>u,kt:()=>d});var r=n(7294);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function o(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function i(e){for(var t=1;t=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var l=r.createContext({}),p=function(e){var t=r.useContext(l),n=t;return e&&(n="function"==typeof e?e(t):i(i({},t),e)),n},u=function(e){var t=p(e.components);return r.createElement(l.Provider,{value:t},e.children)},m="mdxType",c={inlineCode:"code",wrapper:function(e){var t=e.children;return r.createElement(r.Fragment,{},t)}},h=r.forwardRef((function(e,t){var n=e.components,a=e.mdxType,o=e.originalType,l=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),m=p(n),h=a,d=m["".concat(l,".").concat(h)]||m[h]||c[h]||o;return n?r.createElement(d,i(i({ref:t},u),{},{components:n})):r.createElement(d,i({ref:t},u))}));function d(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var o=n.length,i=new Array(o);i[0]=h;var s={};for(var l in t)hasOwnProperty.call(t,l)&&(s[l]=t[l]);s.originalType=e,s[m]="string"==typeof e?e:a,i[1]=s;for(var p=2;p{n.r(t),n.d(t,{assets:()=>l,contentTitle:()=>i,default:()=>c,frontMatter:()=>o,metadata:()=>s,toc:()=>p});var r=n(7462),a=(n(7294),n(3905));const o={title:"Submitting merge requests"},i="Submitting merge requests for review",s={unversionedId:"mr",id:"mr",title:"Submitting merge requests",description:"This tutorial aims to show you how to follow basic git workflow and submit changes",source:"@site/pb071/mr.md",sourceDirName:".",slug:"/mr",permalink:"/pb071/mr",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/mr.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{title:"Submitting merge requests"},sidebar:"autogeneratedBar",previous:{title:"Practice exam C",permalink:"/pb071/pexam/cams"}},l={},p=[{value:"Tutorial",id:"tutorial",level:2},{value:"Step #1 - Starting from the clean repository",id:"step-1---starting-from-the-clean-repository",level:3},{value:"Step #2 - Create new branch",id:"step-2---create-new-branch",level:3},{value:"Step #3 - Do the assignment",id:"step-3---do-the-assignment",level:3},{value:"Step #4 - Commit and upload the changes to GitLab",id:"step-4---commit-and-upload-the-changes-to-gitlab",level:3},{value:"Step #5 - Creating a merge request manually",id:"step-5---creating-a-merge-request-manually",level:3},{value:"Step #6 - Set assignees",id:"step-6---set-assignees",level:3},{value:"Step #7 - Return to default branch",id:"step-7---return-to-default-branch",level:3}],u={toc:p},m="wrapper";function c(e){let{components:t,...n}=e;return(0,a.kt)(m,(0,r.Z)({},u,n,{components:t,mdxType:"MDXLayout"}),(0,a.kt)("h1",{id:"submitting-merge-requests-for-review"},"Submitting merge requests for review"),(0,a.kt)("p",null,"This tutorial aims to show you how to follow basic git workflow and submit changes\nthrough ",(0,a.kt)("em",{parentName:"p"},"Merge Requests")," for review."),(0,a.kt)("p",null,"The rudimentary idea behind aims for changes to be present on a separate branch\nthat is supposedly ",(0,a.kt)("em",{parentName:"p"},"merged")," into the default branch. Till then changes can be reviewed\non ",(0,a.kt)("em",{parentName:"p"},"Merge Request")," and additional changes may be made based on the reviews. Once\nthe changes satisfy requirements, the merge request is merged."),(0,a.kt)("h2",{id:"tutorial"},"Tutorial"),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"Use this tutorial only for bonus assignments ",(0,a.kt)("strong",{parentName:"p"},"made by your tutors")," or in case\nyou need to make up for the absence.")),(0,a.kt)("h3",{id:"step-1---starting-from-the-clean-repository"},"Step #1 - Starting from the clean repository"),(0,a.kt)("p",null,"In your repository (either locally or on aisa) type ",(0,a.kt)("inlineCode",{parentName:"p"},"git status")," and check if your\nrepository is clean and you are present on the main branch (",(0,a.kt)("inlineCode",{parentName:"p"},"master"),", ",(0,a.kt)("inlineCode",{parentName:"p"},"main")," or\n",(0,a.kt)("inlineCode",{parentName:"p"},"trunk"),"). If you do not know what your default branch is, it is probably ",(0,a.kt)("inlineCode",{parentName:"p"},"master"),"\nand you should not be on any other branch."),(0,a.kt)("p",null,"Output of the command should look like this:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git status\nOn branch master # Or main or trunk.\nYour branch is up to date with 'origin/master'.\n\nnothing to commit, working tree clean\n")),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"In case you are on different branch or there are uncommitted changes,\n",(0,a.kt)("strong",{parentName:"p"},"do not continue!!!")," Clean your repository (commit the changes or discard\nthem), before you continue.")),(0,a.kt)("h3",{id:"step-2---create-new-branch"},"Step #2 - Create new branch"),(0,a.kt)("p",null,"In your repository write command:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git checkout -b BRANCH\nSwitched to a new branch 'BRANCH'\n")),(0,a.kt)("p",null,"Instead of ",(0,a.kt)("inlineCode",{parentName:"p"},"BRANCH")," use some reasonable name for the branch. For example if you\nare working on the seminar from 3rd week, name the branch ",(0,a.kt)("inlineCode",{parentName:"p"},"seminar-03"),"."),(0,a.kt)("h3",{id:"step-3---do-the-assignment"},"Step #3 - Do the assignment"),(0,a.kt)("p",null,"Download the skeleton for the seminar assignment, extract and program. For example\nif you are working on 3rd seminar, you can do so by:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ wget https://www.fi.muni.cz/pb071/seminars/seminar-03/pb071-seminar-03.zip\naisa$ unzip pb071-seminar-03.zip\n# Now you should have directory 'seminar-03'.\naisa$ rm pb071-seminar-03.zip\naisa$ cd seminar-03\n# You can work on the assignment.\n")),(0,a.kt)("h3",{id:"step-4---commit-and-upload-the-changes-to-gitlab"},"Step #4 - Commit and upload the changes to GitLab"),(0,a.kt)("p",null,"The same way you ",(0,a.kt)("em",{parentName:"p"},"add")," and ",(0,a.kt)("em",{parentName:"p"},"commit")," files for the homework assignments, you do for\nthe seminar."),(0,a.kt)("p",null,"Now you can upload the changes to GitLab. ",(0,a.kt)("inlineCode",{parentName:"p"},"git push")," is not enough, since repository\non GitLab does not know your new branch. You can solve this by adding arguments:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git push origin BRANCH\n...\nremote: To create a merge request for BRANCH, visit:\nremote: https://gitlab.fi.muni.cz/login/pb071/merge_requests/new?merge_request%5Bsource_branch%5D=BRANCH\n...\n")),(0,a.kt)("p",null,"In the output you should have a link for creating a merge request. If you see this\nlink, open it and skip next step."),(0,a.kt)("h3",{id:"step-5---creating-a-merge-request-manually"},"Step #5 - Creating a merge request manually"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},"Open your repository on GitLab."),(0,a.kt)("li",{parentName:"ol"},"On the left panel click on ",(0,a.kt)("em",{parentName:"li"},"Merge Requests"),"."),(0,a.kt)("li",{parentName:"ol"},"Click on ",(0,a.kt)("em",{parentName:"li"},"New Merge Request"),"."),(0,a.kt)("li",{parentName:"ol"},"In ",(0,a.kt)("em",{parentName:"li"},"Source branch")," select ",(0,a.kt)("inlineCode",{parentName:"li"},"login/pb071")," and ",(0,a.kt)("inlineCode",{parentName:"li"},"BRANCH"),", which you created."),(0,a.kt)("li",{parentName:"ol"},"In ",(0,a.kt)("em",{parentName:"li"},"Target branch")," select ",(0,a.kt)("inlineCode",{parentName:"li"},"login/pb071")," and your default branch you have seen\nin the output of the first command. (most likely ",(0,a.kt)("inlineCode",{parentName:"li"},"master"),")"),(0,a.kt)("li",{parentName:"ol"},"Click on ",(0,a.kt)("em",{parentName:"li"},"Compare branches and continue"),".")),(0,a.kt)("h3",{id:"step-6---set-assignees"},"Step #6 - Set assignees"),(0,a.kt)("p",null,"On the page that is opened, please check at the top that you are creating merge\nrequest ",(0,a.kt)("strong",{parentName:"p"},"from")," your new branch ",(0,a.kt)("strong",{parentName:"p"},"to")," your default branch (one of ",(0,a.kt)("inlineCode",{parentName:"p"},"master"),", ",(0,a.kt)("inlineCode",{parentName:"p"},"main"),"\nor ",(0,a.kt)("inlineCode",{parentName:"p"},"trunk"),")."),(0,a.kt)("p",null,"Then in the field ",(0,a.kt)("em",{parentName:"p"},"Assignees")," set your tutors based on the seminar group. You can\nuse login for a quick look up."),(0,a.kt)("p",null,"In the end click on ",(0,a.kt)("em",{parentName:"p"},"Submit merge request"),"."),(0,a.kt)("h3",{id:"step-7---return-to-default-branch"},"Step #7 - Return to default branch"),(0,a.kt)("p",null,"Homework assignments can be submitted only from branches specified in the rules\nfor the course. Because of that, before you do anything else, you should switch\nback to your default branch."),(0,a.kt)("p",null,"First of all, same as in step #1, check that your repository is clean with ",(0,a.kt)("inlineCode",{parentName:"p"},"git status"),".\nFor the sake of safety, do not continue without clean repository. Then with command\n",(0,a.kt)("inlineCode",{parentName:"p"},"git checkout BRANCH")," switch to your default branch ",(0,a.kt)("inlineCode",{parentName:"p"},"BRANCH"),"."),(0,a.kt)("p",null,"If you do not know which branch is your default, try ",(0,a.kt)("inlineCode",{parentName:"p"},"git branch")," that outputs all branches in your repository. Default branch is typically ",(0,a.kt)("inlineCode",{parentName:"p"},"master"),", but can\nbe ",(0,a.kt)("inlineCode",{parentName:"p"},"main")," or ",(0,a.kt)("inlineCode",{parentName:"p"},"trunk"),"."),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git status\n# Check if repository is clean\n\n# If you know, what is your default branch, you can skip next command.\naisa$ git branch\n# Find the default branch in the list; should be one of the `master`, `main` or\n# `trunk` and you should not have more than one of those.\n# In case the list clears the terminal and you cannot see shell prompt, you can\n# press `q` to quit the pager.\n\naisa$ git checkout master\n")),(0,a.kt)("hr",null),(0,a.kt)("p",null,"Adapted from: ",(0,a.kt)("a",{parentName:"p",href:"https://www.fi.muni.cz/~xlacko1/pb071/mr.html"},"https://www.fi.muni.cz/~xlacko1/pb071/mr.html")))}c.isMDXComponent=!0}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[7823],{3905:(e,t,n)=>{n.d(t,{Zo:()=>u,kt:()=>d});var r=n(7294);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function o(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function i(e){for(var t=1;t=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var l=r.createContext({}),p=function(e){var t=r.useContext(l),n=t;return e&&(n="function"==typeof e?e(t):i(i({},t),e)),n},u=function(e){var t=p(e.components);return r.createElement(l.Provider,{value:t},e.children)},m="mdxType",c={inlineCode:"code",wrapper:function(e){var t=e.children;return r.createElement(r.Fragment,{},t)}},h=r.forwardRef((function(e,t){var n=e.components,a=e.mdxType,o=e.originalType,l=e.parentName,u=s(e,["components","mdxType","originalType","parentName"]),m=p(n),h=a,d=m["".concat(l,".").concat(h)]||m[h]||c[h]||o;return n?r.createElement(d,i(i({ref:t},u),{},{components:n})):r.createElement(d,i({ref:t},u))}));function d(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var o=n.length,i=new Array(o);i[0]=h;var s={};for(var l in t)hasOwnProperty.call(t,l)&&(s[l]=t[l]);s.originalType=e,s[m]="string"==typeof e?e:a,i[1]=s;for(var p=2;p{n.r(t),n.d(t,{assets:()=>l,contentTitle:()=>i,default:()=>c,frontMatter:()=>o,metadata:()=>s,toc:()=>p});var r=n(7462),a=(n(7294),n(3905));const o={title:"Submitting merge requests"},i="Submitting merge requests for review",s={unversionedId:"mr",id:"mr",title:"Submitting merge requests",description:"This tutorial aims to show you how to follow basic git workflow and submit changes",source:"@site/pb071/mr.md",sourceDirName:".",slug:"/mr",permalink:"/pb071/mr",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/mr.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{title:"Submitting merge requests"},sidebar:"autogeneratedBar",previous:{title:"Practice exam C",permalink:"/pb071/pexam/cams"}},l={},p=[{value:"Tutorial",id:"tutorial",level:2},{value:"Step #1 - Starting from the clean repository",id:"step-1---starting-from-the-clean-repository",level:3},{value:"Step #2 - Create new branch",id:"step-2---create-new-branch",level:3},{value:"Step #3 - Do the assignment",id:"step-3---do-the-assignment",level:3},{value:"Step #4 - Commit and upload the changes to GitLab",id:"step-4---commit-and-upload-the-changes-to-gitlab",level:3},{value:"Step #5 - Creating a merge request manually",id:"step-5---creating-a-merge-request-manually",level:3},{value:"Step #6 - Set assignees",id:"step-6---set-assignees",level:3},{value:"Step #7 - Return to default branch",id:"step-7---return-to-default-branch",level:3}],u={toc:p},m="wrapper";function c(e){let{components:t,...n}=e;return(0,a.kt)(m,(0,r.Z)({},u,n,{components:t,mdxType:"MDXLayout"}),(0,a.kt)("h1",{id:"submitting-merge-requests-for-review"},"Submitting merge requests for review"),(0,a.kt)("p",null,"This tutorial aims to show you how to follow basic git workflow and submit changes\nthrough ",(0,a.kt)("em",{parentName:"p"},"Merge Requests")," for review."),(0,a.kt)("p",null,"The rudimentary idea behind aims for changes to be present on a separate branch\nthat is supposedly ",(0,a.kt)("em",{parentName:"p"},"merged")," into the default branch. Till then changes can be reviewed\non ",(0,a.kt)("em",{parentName:"p"},"Merge Request")," and additional changes may be made based on the reviews. Once\nthe changes satisfy requirements, the merge request is merged."),(0,a.kt)("h2",{id:"tutorial"},"Tutorial"),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"Use this tutorial only for bonus assignments ",(0,a.kt)("strong",{parentName:"p"},"made by your tutors")," or in case\nyou need to make up for the absence.")),(0,a.kt)("h3",{id:"step-1---starting-from-the-clean-repository"},"Step #1 - Starting from the clean repository"),(0,a.kt)("p",null,"In your repository (either locally or on aisa) type ",(0,a.kt)("inlineCode",{parentName:"p"},"git status")," and check if your\nrepository is clean and you are present on the main branch (",(0,a.kt)("inlineCode",{parentName:"p"},"master"),", ",(0,a.kt)("inlineCode",{parentName:"p"},"main")," or\n",(0,a.kt)("inlineCode",{parentName:"p"},"trunk"),"). If you do not know what your default branch is, it is probably ",(0,a.kt)("inlineCode",{parentName:"p"},"master"),"\nand you should not be on any other branch."),(0,a.kt)("p",null,"Output of the command should look like this:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git status\nOn branch master # Or main or trunk.\nYour branch is up to date with 'origin/master'.\n\nnothing to commit, working tree clean\n")),(0,a.kt)("blockquote",null,(0,a.kt)("p",{parentName:"blockquote"},"In case you are on different branch or there are uncommitted changes,\n",(0,a.kt)("strong",{parentName:"p"},"do not continue!!!")," Clean your repository (commit the changes or discard\nthem), before you continue.")),(0,a.kt)("h3",{id:"step-2---create-new-branch"},"Step #2 - Create new branch"),(0,a.kt)("p",null,"In your repository write command:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git checkout -b BRANCH\nSwitched to a new branch 'BRANCH'\n")),(0,a.kt)("p",null,"Instead of ",(0,a.kt)("inlineCode",{parentName:"p"},"BRANCH")," use some reasonable name for the branch. For example if you\nare working on the seminar from 3rd week, name the branch ",(0,a.kt)("inlineCode",{parentName:"p"},"seminar-03"),"."),(0,a.kt)("h3",{id:"step-3---do-the-assignment"},"Step #3 - Do the assignment"),(0,a.kt)("p",null,"Download the skeleton for the seminar assignment, extract and program. For example\nif you are working on 3rd seminar, you can do so by:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ wget https://www.fi.muni.cz/pb071/seminars/seminar-03/pb071-seminar-03.zip\naisa$ unzip pb071-seminar-03.zip\n# Now you should have directory 'seminar-03'.\naisa$ rm pb071-seminar-03.zip\naisa$ cd seminar-03\n# You can work on the assignment.\n")),(0,a.kt)("h3",{id:"step-4---commit-and-upload-the-changes-to-gitlab"},"Step #4 - Commit and upload the changes to GitLab"),(0,a.kt)("p",null,"The same way you ",(0,a.kt)("em",{parentName:"p"},"add")," and ",(0,a.kt)("em",{parentName:"p"},"commit")," files for the homework assignments, you do for\nthe seminar."),(0,a.kt)("p",null,"Now you can upload the changes to GitLab. ",(0,a.kt)("inlineCode",{parentName:"p"},"git push")," is not enough, since repository\non GitLab does not know your new branch. You can solve this by adding arguments:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git push origin BRANCH\n...\nremote: To create a merge request for BRANCH, visit:\nremote: https://gitlab.fi.muni.cz/login/pb071/merge_requests/new?merge_request%5Bsource_branch%5D=BRANCH\n...\n")),(0,a.kt)("p",null,"In the output you should have a link for creating a merge request. If you see this\nlink, open it and skip next step."),(0,a.kt)("h3",{id:"step-5---creating-a-merge-request-manually"},"Step #5 - Creating a merge request manually"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},"Open your repository on GitLab."),(0,a.kt)("li",{parentName:"ol"},"On the left panel click on ",(0,a.kt)("em",{parentName:"li"},"Merge Requests"),"."),(0,a.kt)("li",{parentName:"ol"},"Click on ",(0,a.kt)("em",{parentName:"li"},"New Merge Request"),"."),(0,a.kt)("li",{parentName:"ol"},"In ",(0,a.kt)("em",{parentName:"li"},"Source branch")," select ",(0,a.kt)("inlineCode",{parentName:"li"},"login/pb071")," and ",(0,a.kt)("inlineCode",{parentName:"li"},"BRANCH"),", which you created."),(0,a.kt)("li",{parentName:"ol"},"In ",(0,a.kt)("em",{parentName:"li"},"Target branch")," select ",(0,a.kt)("inlineCode",{parentName:"li"},"login/pb071")," and your default branch you have seen\nin the output of the first command. (most likely ",(0,a.kt)("inlineCode",{parentName:"li"},"master"),")"),(0,a.kt)("li",{parentName:"ol"},"Click on ",(0,a.kt)("em",{parentName:"li"},"Compare branches and continue"),".")),(0,a.kt)("h3",{id:"step-6---set-assignees"},"Step #6 - Set assignees"),(0,a.kt)("p",null,"On the page that is opened, please check at the top that you are creating merge\nrequest ",(0,a.kt)("strong",{parentName:"p"},"from")," your new branch ",(0,a.kt)("strong",{parentName:"p"},"to")," your default branch (one of ",(0,a.kt)("inlineCode",{parentName:"p"},"master"),", ",(0,a.kt)("inlineCode",{parentName:"p"},"main"),"\nor ",(0,a.kt)("inlineCode",{parentName:"p"},"trunk"),")."),(0,a.kt)("p",null,"Then in the field ",(0,a.kt)("em",{parentName:"p"},"Assignees")," set your tutors based on the seminar group. You can\nuse login for a quick look up."),(0,a.kt)("p",null,"In the end click on ",(0,a.kt)("em",{parentName:"p"},"Submit merge request"),"."),(0,a.kt)("h3",{id:"step-7---return-to-default-branch"},"Step #7 - Return to default branch"),(0,a.kt)("p",null,"Homework assignments can be submitted only from branches specified in the rules\nfor the course. Because of that, before you do anything else, you should switch\nback to your default branch."),(0,a.kt)("p",null,"First of all, same as in step #1, check that your repository is clean with ",(0,a.kt)("inlineCode",{parentName:"p"},"git status"),".\nFor the sake of safety, do not continue without clean repository. Then with command\n",(0,a.kt)("inlineCode",{parentName:"p"},"git checkout BRANCH")," switch to your default branch ",(0,a.kt)("inlineCode",{parentName:"p"},"BRANCH"),"."),(0,a.kt)("p",null,"If you do not know which branch is your default, try ",(0,a.kt)("inlineCode",{parentName:"p"},"git branch")," that outputs all branches in your repository. Default branch is typically ",(0,a.kt)("inlineCode",{parentName:"p"},"master"),", but can\nbe ",(0,a.kt)("inlineCode",{parentName:"p"},"main")," or ",(0,a.kt)("inlineCode",{parentName:"p"},"trunk"),"."),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre"},"aisa$ git status\n# Check if repository is clean\n\n# If you know, what is your default branch, you can skip next command.\naisa$ git branch\n# Find the default branch in the list; should be one of the `master`, `main` or\n# `trunk` and you should not have more than one of those.\n# In case the list clears the terminal and you cannot see shell prompt, you can\n# press `q` to quit the pager.\n\naisa$ git checkout master\n")),(0,a.kt)("hr",null),(0,a.kt)("p",null,"Adapted from: ",(0,a.kt)("a",{parentName:"p",href:"https://www.fi.muni.cz/~xlacko1/pb071/mr.html"},"https://www.fi.muni.cz/~xlacko1/pb071/mr.html")))}c.isMDXComponent=!0}}]); \ No newline at end of file diff --git a/assets/js/df203c0f.000c2e08.js b/assets/js/df203c0f.000c2e08.js new file mode 100644 index 0000000..b0f1c0c --- /dev/null +++ b/assets/js/df203c0f.000c2e08.js @@ -0,0 +1 @@ +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[9924],{491:(e,t,l)=>{l.r(t),l.d(t,{default:()=>d});var a=l(7294),n=l(6010),r=l(9960),s=l(8824),c=l(833),o=l(5281),i=l(5999),u=l(7452),g=l(197);function m(e){let{doc:t}=e;return a.createElement("article",{className:"margin-vert--lg"},a.createElement(r.Z,{to:t.permalink},a.createElement("h2",null,t.title)),t.description&&a.createElement("p",null,t.description))}function d(e){let{tag:t}=e;const l=function(){const{selectMessage:e}=(0,s.c)();return t=>e(t,(0,i.I)({id:"theme.docs.tagDocListPageTitle.nDocsTagged",description:'Pluralized label for "{count} docs tagged". Use as much plural forms (separated by "|") as your language support (see https://www.unicode.org/cldr/cldr-aux/charts/34/supplemental/language_plural_rules.html)',message:"One doc tagged|{count} docs tagged"},{count:t}))}(),d=(0,i.I)({id:"theme.docs.tagDocListPageTitle",description:"The title of the page for a docs tag",message:'{nDocsTagged} with "{tagName}"'},{nDocsTagged:l(t.count),tagName:t.label});return a.createElement(c.FG,{className:(0,n.Z)(o.k.wrapper.docsPages,o.k.page.docsTagDocListPage)},a.createElement(c.d,{title:d}),a.createElement(g.Z,{tag:"doc_tag_doc_list"}),a.createElement(u.Z,null,a.createElement("div",{className:"container margin-vert--lg"},a.createElement("div",{className:"row"},a.createElement("main",{className:"col col--8 col--offset-2"},a.createElement("header",{className:"margin-bottom--xl"},a.createElement("h1",null,d),a.createElement(r.Z,{href:t.allTagsPath},a.createElement(i.Z,{id:"theme.tags.tagsPageLink",description:"The label of the link targeting the tag list page"},"View All Tags"))),a.createElement("section",{className:"margin-vert--lg"},t.items.map((e=>a.createElement(m,{key:e.id,doc:e})))))))))}},8824:(e,t,l)=>{l.d(t,{c:()=>i});var a=l(7294),n=l(2263);const r=["zero","one","two","few","many","other"];function s(e){return r.filter((t=>e.includes(t)))}const c={locale:"en",pluralForms:s(["one","other"]),select:e=>1===e?"one":"other"};function o(){const{i18n:{currentLocale:e}}=(0,n.Z)();return(0,a.useMemo)((()=>{try{return function(e){const t=new Intl.PluralRules(e);return{locale:e,pluralForms:s(t.resolvedOptions().pluralCategories),select:e=>t.select(e)}}(e)}catch(t){return console.error(`Failed to use Intl.PluralRules for locale "${e}".\nDocusaurus will fallback to the default (English) implementation.\nError: ${t.message}\n`),c}}),[e])}function i(){const e=o();return{selectMessage:(t,l)=>function(e,t,l){const a=e.split("|");if(1===a.length)return a[0];a.length>l.pluralForms.length&&console.error(`For locale=${l.locale}, a maximum of ${l.pluralForms.length} plural forms are expected (${l.pluralForms.join(",")}), but the message contains ${a.length}: ${e}`);const n=l.select(t),r=l.pluralForms.indexOf(n);return a[Math.min(r,a.length-1)]}(l,t,e)}}}}]); \ No newline at end of file diff --git a/assets/js/df203c0f.1c48be56.js b/assets/js/df203c0f.1c48be56.js deleted file mode 100644 index 53aae18..0000000 --- a/assets/js/df203c0f.1c48be56.js +++ /dev/null @@ -1 +0,0 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[9924],{1298:(e,t,l)=>{l.r(t),l.d(t,{default:()=>d});var a=l(7294),n=l(6010),r=l(9960),s=l(8824),c=l(833),o=l(5281),i=l(5999),u=l(7452),g=l(197);function m(e){let{doc:t}=e;return a.createElement("article",{className:"margin-vert--lg"},a.createElement(r.Z,{to:t.permalink},a.createElement("h2",null,t.title)),t.description&&a.createElement("p",null,t.description))}function d(e){let{tag:t}=e;const l=function(){const{selectMessage:e}=(0,s.c)();return t=>e(t,(0,i.I)({id:"theme.docs.tagDocListPageTitle.nDocsTagged",description:'Pluralized label for "{count} docs tagged". Use as much plural forms (separated by "|") as your language support (see https://www.unicode.org/cldr/cldr-aux/charts/34/supplemental/language_plural_rules.html)',message:"One doc tagged|{count} docs tagged"},{count:t}))}(),d=(0,i.I)({id:"theme.docs.tagDocListPageTitle",description:"The title of the page for a docs tag",message:'{nDocsTagged} with "{tagName}"'},{nDocsTagged:l(t.count),tagName:t.label});return a.createElement(c.FG,{className:(0,n.Z)(o.k.wrapper.docsPages,o.k.page.docsTagDocListPage)},a.createElement(c.d,{title:d}),a.createElement(g.Z,{tag:"doc_tag_doc_list"}),a.createElement(u.Z,null,a.createElement("div",{className:"container margin-vert--lg"},a.createElement("div",{className:"row"},a.createElement("main",{className:"col col--8 col--offset-2"},a.createElement("header",{className:"margin-bottom--xl"},a.createElement("h1",null,d),a.createElement(r.Z,{href:t.allTagsPath},a.createElement(i.Z,{id:"theme.tags.tagsPageLink",description:"The label of the link targeting the tag list page"},"View All Tags"))),a.createElement("section",{className:"margin-vert--lg"},t.items.map((e=>a.createElement(m,{key:e.id,doc:e})))))))))}},8824:(e,t,l)=>{l.d(t,{c:()=>i});var a=l(7294),n=l(2263);const r=["zero","one","two","few","many","other"];function s(e){return r.filter((t=>e.includes(t)))}const c={locale:"en",pluralForms:s(["one","other"]),select:e=>1===e?"one":"other"};function o(){const{i18n:{currentLocale:e}}=(0,n.Z)();return(0,a.useMemo)((()=>{try{return function(e){const t=new Intl.PluralRules(e);return{locale:e,pluralForms:s(t.resolvedOptions().pluralCategories),select:e=>t.select(e)}}(e)}catch(t){return console.error(`Failed to use Intl.PluralRules for locale "${e}".\nDocusaurus will fallback to the default (English) implementation.\nError: ${t.message}\n`),c}}),[e])}function i(){const e=o();return{selectMessage:(t,l)=>function(e,t,l){const a=e.split("|");if(1===a.length)return a[0];a.length>l.pluralForms.length&&console.error(`For locale=${l.locale}, a maximum of ${l.pluralForms.length} plural forms are expected (${l.pluralForms.join(",")}), but the message contains ${a.length}: ${e}`);const n=l.select(t),r=l.pluralForms.indexOf(n);return a[Math.min(r,a.length-1)]}(l,t,e)}}}}]); \ No newline at end of file diff --git a/assets/js/f533ef4a.6e5c0557.js b/assets/js/f533ef4a.04091910.js similarity index 99% rename from assets/js/f533ef4a.6e5c0557.js rename to assets/js/f533ef4a.04091910.js index a5d850b..4bc7a1e 100644 --- a/assets/js/f533ef4a.6e5c0557.js +++ b/assets/js/f533ef4a.04091910.js @@ -1 +1 @@ -"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[2160],{3905:(e,t,n)=>{n.d(t,{Zo:()=>c,kt:()=>h});var r=n(7294);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function o(e){for(var t=1;t=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(r=0;r=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var s=r.createContext({}),p=function(e){var t=r.useContext(s),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},c=function(e){var t=p(e.components);return r.createElement(s.Provider,{value:t},e.children)},u="mdxType",d={inlineCode:"code",wrapper:function(e){var t=e.children;return r.createElement(r.Fragment,{},t)}},m=r.forwardRef((function(e,t){var n=e.components,a=e.mdxType,i=e.originalType,s=e.parentName,c=l(e,["components","mdxType","originalType","parentName"]),u=p(n),m=a,h=u["".concat(s,".").concat(m)]||u[m]||d[m]||i;return n?r.createElement(h,o(o({ref:t},c),{},{components:n})):r.createElement(h,o({ref:t},c))}));function h(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var i=n.length,o=new Array(i);o[0]=m;var l={};for(var s in t)hasOwnProperty.call(t,s)&&(l[s]=t[s]);l.originalType=e,l[u]="string"==typeof e?e:a,o[1]=l;for(var p=2;p{n.r(t),n.d(t,{assets:()=>s,contentTitle:()=>o,default:()=>d,frontMatter:()=>i,metadata:()=>l,toc:()=>p});var r=n(7462),a=(n(7294),n(3905));const i={id:"seminar-05-06",title:"5th and 6th seminar",description:"200IQ encryption.\n"},o=void 0,l={unversionedId:"bonuses/seminar-05-06",id:"bonuses/seminar-05-06",title:"5th and 6th seminar",description:"200IQ encryption.\n",source:"@site/pb071/bonuses/05-06.md",sourceDirName:"bonuses",slug:"/bonuses/seminar-05-06",permalink:"/pb071/bonuses/seminar-05-06",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/bonuses/05-06.md",tags:[],version:"current",lastUpdatedAt:1694109587,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"seminar-05-06",title:"5th and 6th seminar",description:"200IQ encryption.\n"},sidebar:"autogeneratedBar",previous:{title:"4th seminar",permalink:"/pb071/bonuses/seminar-04"},next:{title:"8th seminar",permalink:"/pb071/bonuses/seminar-08"}},s={},p=[{value:"Introduction",id:"introduction",level:2},{value:"Task no. 1: Reverse (0.5 K\u20a1)",id:"task-no-1-reverse-05-k",level:3},{value:"Task no. 2: Vigen\xe8re (0.5 K\u20a1)",id:"task-no-2-vigen\xe8re-05-k",level:3},{value:"Bonus part (0.5 K\u20a1)",id:"bonus-part-05-k",level:4},{value:"Task no. 3: Bit madness (0.5 K\u20a1)",id:"task-no-3-bit-madness-05-k",level:3},{value:"Task no. 4: All combined to BMP (0.5 K\u20a1)",id:"task-no-4-all-combined-to-bmp-05-k",level:3},{value:"Submitting",id:"submitting",level:2}],c={toc:p},u="wrapper";function d(e){let{components:t,...n}=e;return(0,a.kt)(u,(0,r.Z)({},c,n,{components:t,mdxType:"MDXLayout"}),(0,a.kt)("p",null,"For this bonus you can get at maximum 2.5 K\u20a1."),(0,a.kt)("p",null,(0,a.kt)("a",{parentName:"p",href:"pathname:///files/pb071/bonuses/05-06.tar.gz"},"Source")),(0,a.kt)("h2",{id:"introduction"},"Introduction"),(0,a.kt)("p",null,"In this bonus you will implement few functions that will be used together for\nimplementing a very special cipher."),(0,a.kt)("h3",{id:"task-no-1-reverse-05-k"},"Task no. 1: Reverse (0.5 K\u20a1)"),(0,a.kt)("p",null,"Write a function ",(0,a.kt)("inlineCode",{parentName:"p"},"char* reverse(const char* text)")," that returns copy of the input\nstring in reversed order (also uppercase)."),(0,a.kt)("p",null,"In case you are given ",(0,a.kt)("inlineCode",{parentName:"p"},"NULL"),", return ",(0,a.kt)("inlineCode",{parentName:"p"},"NULL"),"."),(0,a.kt)("p",null,"Example (more in tests):"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre",className:"language-c"},'char* reversed = reverse("Hello world!");\n\nprintf("%s\\n", reversed);\n// "!DLROW OLLEH"\n\nif (reversed != NULL) {\n free(reversed);\n}\n')),(0,a.kt)("h3",{id:"task-no-2-vigen\xe8re-05-k"},"Task no. 2: Vigen\xe8re (0.5 K\u20a1)"),(0,a.kt)("p",null,"Vigen\xe8re cipher is similar to the Caesar cipher, but you also have a key that is\nused for encrypting (or decrypting)."),(0,a.kt)("p",null,"Your task is to write two functions:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* vigenere_encrypt(const char* key, const char* text)")," for encrypting"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* vigenere_decrypt(const char* key, const char* text)")," for decrypting")),(0,a.kt)("p",null,"In both of those you should return uppercase characters."),(0,a.kt)("p",null,"Meaning of the parameters you are given:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"key")," - String that represents key that is used for ","*","crypting. It consists of\none word and can have only characters of the alphabet. Does not matter if they\nare uppercase or lowercase."),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"text")," - String that is to be ","*","crypted.")),(0,a.kt)("p",null,"Function returns address of the encrypted (or decrypted) string. Or ",(0,a.kt)("inlineCode",{parentName:"p"},"NULL")," in case\nerror occurs."),(0,a.kt)("p",null,"Example:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre",className:"language-c"},'char *encrypted = vigenere_encrypt("CoMPuTeR", "Hello world!");\n\nprintf("%s\\n", encrypted);\n// "JSXAI PSINR!"\n\nif (encrypted != NULL) {\n free(encrypted)\n}\n')),(0,a.kt)("h4",{id:"bonus-part-05-k"},"Bonus part (0.5 K\u20a1)"),(0,a.kt)("p",null,"If you can utilize helper function that would do both encrypting and decrypting,\nyou can gain 0.5 K\u20a1."),(0,a.kt)("p",null,"Usage of ",(0,a.kt)("inlineCode",{parentName:"p"},"true"),"/",(0,a.kt)("inlineCode",{parentName:"p"},"false")," to decide path in code is prohibited. It leads to merging\nof both functions into one. Point of this part is to discover a way to do this\ngenerically in such way that there are no separate paths for one or the other. One\nfunction with no branching for both of them, parametrization is your friend :)"),(0,a.kt)("h3",{id:"task-no-3-bit-madness-05-k"},"Task no. 3: Bit madness (0.5 K\u20a1)"),(0,a.kt)("p",null,"This is a state of the art crypto. Please do not share :)"),(0,a.kt)("p",null,"For encrypting:"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},"Split the character that is to be encrypted in halves (4 and 4 bits each)."),(0,a.kt)("li",{parentName:"ol"},"Bits in 1st half are to be split into pairs. Swap bits in those pairs."),(0,a.kt)("li",{parentName:"ol"},"Then use the 4 bits that you created in the 2nd step for ",(0,a.kt)("inlineCode",{parentName:"li"},"XOR")," with the other\n4 bits.")),(0,a.kt)("p",null,"This simple and ingenious principle will be illustrated on the following example.\nString we want to encrypt is ",(0,a.kt)("inlineCode",{parentName:"p"},"Hello world!"),". We need to encrypt each letter separately,\nso we will demonstrate on letter ",(0,a.kt)("inlineCode",{parentName:"p"},"H"),":"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"Letter ",(0,a.kt)("inlineCode",{parentName:"p"},"H")," is represented in ASCII as ",(0,a.kt)("inlineCode",{parentName:"p"},"72"),"."),(0,a.kt)("p",{parentName:"li"},(0,a.kt)("inlineCode",{parentName:"p"},"72")," represented in binary is: ",(0,a.kt)("inlineCode",{parentName:"p"},"01001000"),". So first 4 bits are: ",(0,a.kt)("inlineCode",{parentName:"p"},"0100")," and last\n4 bits are ",(0,a.kt)("inlineCode",{parentName:"p"},"1000"),".")),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"First half of bits (",(0,a.kt)("inlineCode",{parentName:"p"},"0100"),") consists of 2 pairs (",(0,a.kt)("inlineCode",{parentName:"p"},"01")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"00"),") which we swap\n(",(0,a.kt)("inlineCode",{parentName:"p"},"01 ~> 10")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"00 ~> 00"),"). That way we get ",(0,a.kt)("inlineCode",{parentName:"p"},"1000"),".")),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"That half is used for xor with the other 4 bits:"),(0,a.kt)("pre",{parentName:"li"},(0,a.kt)("code",{parentName:"pre"}," 1000 // second half\nXOR 1000 // first half after 2nd step\n--------\n 0000\n"))),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"Now we combine both halves (first one is ",(0,a.kt)("inlineCode",{parentName:"p"},"1000"),", which we got from the 2nd step\nand second one is ",(0,a.kt)("inlineCode",{parentName:"p"},"0000"),", which we got from the 3rd step) and get ",(0,a.kt)("inlineCode",{parentName:"p"},"10000000"),",\nwhich is encrypted character ",(0,a.kt)("inlineCode",{parentName:"p"},"H")," using this method."))),(0,a.kt)("p",null,"In case of decryption, reverse those steps."),(0,a.kt)("p",null,"Your task is to implement functions:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"unsigned char* bit_encrypt(const char* text)")),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* bit_decrypt(const unsigned char* text)"))),(0,a.kt)("p",null,"Example:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre",className:"language-c"},'unsigned char* encrypted = bit_encrypt("Hello world!");\n\nfor (int i = 0; i < 12;i++) {\n printf("%x ", encrypted[i]);\n //80 9c 95 95 96 11 bc 96 b9 95 9d 10\n}\n\nif (encrypted != NULL) {\n free(encrypted);\n}\n')),(0,a.kt)("h3",{id:"task-no-4-all-combined-to-bmp-05-k"},"Task no. 4: All combined to BMP (0.5 K\u20a1)"),(0,a.kt)("p",null,"Authors of the BMP cipher are non-disclosed :)"),(0,a.kt)("p",null,"Create pair of functions:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"unsigned char* bmp_encrypt(const char* key, const char* text)")),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* bmp_decrypt(const char* key, const unsigned char* text)"))),(0,a.kt)("p",null,"BMP cipher consists of following steps for encrypting:"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},"Reverse the input string"),(0,a.kt)("li",{parentName:"ol"},"Use Vigenere on the string you got from step #1"),(0,a.kt)("li",{parentName:"ol"},"Use bit madness on the string you got from step #2")),(0,a.kt)("p",null,"For decrypting, reverse the steps."),(0,a.kt)("h2",{id:"submitting"},"Submitting"),(0,a.kt)("p",null,"In case you have any questions, feel free to reach out to me."),(0,a.kt)("hr",null),(0,a.kt)("p",null,"Ideally submit the assignment through the merge request. Step-by-step tutorial is\npresent ",(0,a.kt)("a",{parentName:"p",href:"../mr"},"here"),". For setting assignee my xlogin is ",(0,a.kt)("inlineCode",{parentName:"p"},"xfocko"),"."),(0,a.kt)("p",null,"In case you do not want to experiment on GitLab, send me the source code via email,\nbut please prefix subject with: ",(0,a.kt)("inlineCode",{parentName:"p"},"[PB071/14][seminar-05-06]")),(0,a.kt)("p",null,"Deadline for the submission of the bonus is ",(0,a.kt)("strong",{parentName:"p"},"April 21th 24:00"),"."))}d.isMDXComponent=!0}}]); \ No newline at end of file +"use strict";(self.webpackChunkfi=self.webpackChunkfi||[]).push([[2160],{3905:(e,t,n)=>{n.d(t,{Zo:()=>c,kt:()=>h});var r=n(7294);function a(e,t,n){return t in e?Object.defineProperty(e,t,{value:n,enumerable:!0,configurable:!0,writable:!0}):e[t]=n,e}function i(e,t){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);t&&(r=r.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),n.push.apply(n,r)}return n}function o(e){for(var t=1;t=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(r=0;r=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var s=r.createContext({}),p=function(e){var t=r.useContext(s),n=t;return e&&(n="function"==typeof e?e(t):o(o({},t),e)),n},c=function(e){var t=p(e.components);return r.createElement(s.Provider,{value:t},e.children)},u="mdxType",d={inlineCode:"code",wrapper:function(e){var t=e.children;return r.createElement(r.Fragment,{},t)}},m=r.forwardRef((function(e,t){var n=e.components,a=e.mdxType,i=e.originalType,s=e.parentName,c=l(e,["components","mdxType","originalType","parentName"]),u=p(n),m=a,h=u["".concat(s,".").concat(m)]||u[m]||d[m]||i;return n?r.createElement(h,o(o({ref:t},c),{},{components:n})):r.createElement(h,o({ref:t},c))}));function h(e,t){var n=arguments,a=t&&t.mdxType;if("string"==typeof e||a){var i=n.length,o=new Array(i);o[0]=m;var l={};for(var s in t)hasOwnProperty.call(t,s)&&(l[s]=t[s]);l.originalType=e,l[u]="string"==typeof e?e:a,o[1]=l;for(var p=2;p{n.r(t),n.d(t,{assets:()=>s,contentTitle:()=>o,default:()=>d,frontMatter:()=>i,metadata:()=>l,toc:()=>p});var r=n(7462),a=(n(7294),n(3905));const i={id:"seminar-05-06",title:"5th and 6th seminar",description:"200IQ encryption.\n"},o=void 0,l={unversionedId:"bonuses/seminar-05-06",id:"bonuses/seminar-05-06",title:"5th and 6th seminar",description:"200IQ encryption.\n",source:"@site/pb071/bonuses/05-06.md",sourceDirName:"bonuses",slug:"/bonuses/seminar-05-06",permalink:"/pb071/bonuses/seminar-05-06",draft:!1,editUrl:"https://gitlab.com/mfocko/blog/tree/main/pb071/bonuses/05-06.md",tags:[],version:"current",lastUpdatedAt:1694109735,formattedLastUpdatedAt:"Sep 7, 2023",frontMatter:{id:"seminar-05-06",title:"5th and 6th seminar",description:"200IQ encryption.\n"},sidebar:"autogeneratedBar",previous:{title:"4th seminar",permalink:"/pb071/bonuses/seminar-04"},next:{title:"8th seminar",permalink:"/pb071/bonuses/seminar-08"}},s={},p=[{value:"Introduction",id:"introduction",level:2},{value:"Task no. 1: Reverse (0.5 K\u20a1)",id:"task-no-1-reverse-05-k",level:3},{value:"Task no. 2: Vigen\xe8re (0.5 K\u20a1)",id:"task-no-2-vigen\xe8re-05-k",level:3},{value:"Bonus part (0.5 K\u20a1)",id:"bonus-part-05-k",level:4},{value:"Task no. 3: Bit madness (0.5 K\u20a1)",id:"task-no-3-bit-madness-05-k",level:3},{value:"Task no. 4: All combined to BMP (0.5 K\u20a1)",id:"task-no-4-all-combined-to-bmp-05-k",level:3},{value:"Submitting",id:"submitting",level:2}],c={toc:p},u="wrapper";function d(e){let{components:t,...n}=e;return(0,a.kt)(u,(0,r.Z)({},c,n,{components:t,mdxType:"MDXLayout"}),(0,a.kt)("p",null,"For this bonus you can get at maximum 2.5 K\u20a1."),(0,a.kt)("p",null,(0,a.kt)("a",{parentName:"p",href:"pathname:///files/pb071/bonuses/05-06.tar.gz"},"Source")),(0,a.kt)("h2",{id:"introduction"},"Introduction"),(0,a.kt)("p",null,"In this bonus you will implement few functions that will be used together for\nimplementing a very special cipher."),(0,a.kt)("h3",{id:"task-no-1-reverse-05-k"},"Task no. 1: Reverse (0.5 K\u20a1)"),(0,a.kt)("p",null,"Write a function ",(0,a.kt)("inlineCode",{parentName:"p"},"char* reverse(const char* text)")," that returns copy of the input\nstring in reversed order (also uppercase)."),(0,a.kt)("p",null,"In case you are given ",(0,a.kt)("inlineCode",{parentName:"p"},"NULL"),", return ",(0,a.kt)("inlineCode",{parentName:"p"},"NULL"),"."),(0,a.kt)("p",null,"Example (more in tests):"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre",className:"language-c"},'char* reversed = reverse("Hello world!");\n\nprintf("%s\\n", reversed);\n// "!DLROW OLLEH"\n\nif (reversed != NULL) {\n free(reversed);\n}\n')),(0,a.kt)("h3",{id:"task-no-2-vigen\xe8re-05-k"},"Task no. 2: Vigen\xe8re (0.5 K\u20a1)"),(0,a.kt)("p",null,"Vigen\xe8re cipher is similar to the Caesar cipher, but you also have a key that is\nused for encrypting (or decrypting)."),(0,a.kt)("p",null,"Your task is to write two functions:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* vigenere_encrypt(const char* key, const char* text)")," for encrypting"),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* vigenere_decrypt(const char* key, const char* text)")," for decrypting")),(0,a.kt)("p",null,"In both of those you should return uppercase characters."),(0,a.kt)("p",null,"Meaning of the parameters you are given:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"key")," - String that represents key that is used for ","*","crypting. It consists of\none word and can have only characters of the alphabet. Does not matter if they\nare uppercase or lowercase."),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"text")," - String that is to be ","*","crypted.")),(0,a.kt)("p",null,"Function returns address of the encrypted (or decrypted) string. Or ",(0,a.kt)("inlineCode",{parentName:"p"},"NULL")," in case\nerror occurs."),(0,a.kt)("p",null,"Example:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre",className:"language-c"},'char *encrypted = vigenere_encrypt("CoMPuTeR", "Hello world!");\n\nprintf("%s\\n", encrypted);\n// "JSXAI PSINR!"\n\nif (encrypted != NULL) {\n free(encrypted)\n}\n')),(0,a.kt)("h4",{id:"bonus-part-05-k"},"Bonus part (0.5 K\u20a1)"),(0,a.kt)("p",null,"If you can utilize helper function that would do both encrypting and decrypting,\nyou can gain 0.5 K\u20a1."),(0,a.kt)("p",null,"Usage of ",(0,a.kt)("inlineCode",{parentName:"p"},"true"),"/",(0,a.kt)("inlineCode",{parentName:"p"},"false")," to decide path in code is prohibited. It leads to merging\nof both functions into one. Point of this part is to discover a way to do this\ngenerically in such way that there are no separate paths for one or the other. One\nfunction with no branching for both of them, parametrization is your friend :)"),(0,a.kt)("h3",{id:"task-no-3-bit-madness-05-k"},"Task no. 3: Bit madness (0.5 K\u20a1)"),(0,a.kt)("p",null,"This is a state of the art crypto. Please do not share :)"),(0,a.kt)("p",null,"For encrypting:"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},"Split the character that is to be encrypted in halves (4 and 4 bits each)."),(0,a.kt)("li",{parentName:"ol"},"Bits in 1st half are to be split into pairs. Swap bits in those pairs."),(0,a.kt)("li",{parentName:"ol"},"Then use the 4 bits that you created in the 2nd step for ",(0,a.kt)("inlineCode",{parentName:"li"},"XOR")," with the other\n4 bits.")),(0,a.kt)("p",null,"This simple and ingenious principle will be illustrated on the following example.\nString we want to encrypt is ",(0,a.kt)("inlineCode",{parentName:"p"},"Hello world!"),". We need to encrypt each letter separately,\nso we will demonstrate on letter ",(0,a.kt)("inlineCode",{parentName:"p"},"H"),":"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"Letter ",(0,a.kt)("inlineCode",{parentName:"p"},"H")," is represented in ASCII as ",(0,a.kt)("inlineCode",{parentName:"p"},"72"),"."),(0,a.kt)("p",{parentName:"li"},(0,a.kt)("inlineCode",{parentName:"p"},"72")," represented in binary is: ",(0,a.kt)("inlineCode",{parentName:"p"},"01001000"),". So first 4 bits are: ",(0,a.kt)("inlineCode",{parentName:"p"},"0100")," and last\n4 bits are ",(0,a.kt)("inlineCode",{parentName:"p"},"1000"),".")),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"First half of bits (",(0,a.kt)("inlineCode",{parentName:"p"},"0100"),") consists of 2 pairs (",(0,a.kt)("inlineCode",{parentName:"p"},"01")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"00"),") which we swap\n(",(0,a.kt)("inlineCode",{parentName:"p"},"01 ~> 10")," and ",(0,a.kt)("inlineCode",{parentName:"p"},"00 ~> 00"),"). That way we get ",(0,a.kt)("inlineCode",{parentName:"p"},"1000"),".")),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"That half is used for xor with the other 4 bits:"),(0,a.kt)("pre",{parentName:"li"},(0,a.kt)("code",{parentName:"pre"}," 1000 // second half\nXOR 1000 // first half after 2nd step\n--------\n 0000\n"))),(0,a.kt)("li",{parentName:"ol"},(0,a.kt)("p",{parentName:"li"},"Now we combine both halves (first one is ",(0,a.kt)("inlineCode",{parentName:"p"},"1000"),", which we got from the 2nd step\nand second one is ",(0,a.kt)("inlineCode",{parentName:"p"},"0000"),", which we got from the 3rd step) and get ",(0,a.kt)("inlineCode",{parentName:"p"},"10000000"),",\nwhich is encrypted character ",(0,a.kt)("inlineCode",{parentName:"p"},"H")," using this method."))),(0,a.kt)("p",null,"In case of decryption, reverse those steps."),(0,a.kt)("p",null,"Your task is to implement functions:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"unsigned char* bit_encrypt(const char* text)")),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* bit_decrypt(const unsigned char* text)"))),(0,a.kt)("p",null,"Example:"),(0,a.kt)("pre",null,(0,a.kt)("code",{parentName:"pre",className:"language-c"},'unsigned char* encrypted = bit_encrypt("Hello world!");\n\nfor (int i = 0; i < 12;i++) {\n printf("%x ", encrypted[i]);\n //80 9c 95 95 96 11 bc 96 b9 95 9d 10\n}\n\nif (encrypted != NULL) {\n free(encrypted);\n}\n')),(0,a.kt)("h3",{id:"task-no-4-all-combined-to-bmp-05-k"},"Task no. 4: All combined to BMP (0.5 K\u20a1)"),(0,a.kt)("p",null,"Authors of the BMP cipher are non-disclosed :)"),(0,a.kt)("p",null,"Create pair of functions:"),(0,a.kt)("ul",null,(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"unsigned char* bmp_encrypt(const char* key, const char* text)")),(0,a.kt)("li",{parentName:"ul"},(0,a.kt)("inlineCode",{parentName:"li"},"char* bmp_decrypt(const char* key, const unsigned char* text)"))),(0,a.kt)("p",null,"BMP cipher consists of following steps for encrypting:"),(0,a.kt)("ol",null,(0,a.kt)("li",{parentName:"ol"},"Reverse the input string"),(0,a.kt)("li",{parentName:"ol"},"Use Vigenere on the string you got from step #1"),(0,a.kt)("li",{parentName:"ol"},"Use bit madness on the string you got from step #2")),(0,a.kt)("p",null,"For decrypting, reverse the steps."),(0,a.kt)("h2",{id:"submitting"},"Submitting"),(0,a.kt)("p",null,"In case you have any questions, feel free to reach out to me."),(0,a.kt)("hr",null),(0,a.kt)("p",null,"Ideally submit the assignment through the merge request. Step-by-step tutorial is\npresent ",(0,a.kt)("a",{parentName:"p",href:"../mr"},"here"),". For setting assignee my xlogin is ",(0,a.kt)("inlineCode",{parentName:"p"},"xfocko"),"."),(0,a.kt)("p",null,"In case you do not want to experiment on GitLab, send me the source code via email,\nbut please prefix subject with: ",(0,a.kt)("inlineCode",{parentName:"p"},"[PB071/14][seminar-05-06]")),(0,a.kt)("p",null,"Deadline for the submission of the bonus is ",(0,a.kt)("strong",{parentName:"p"},"April 21th 24:00"),"."))}d.isMDXComponent=!0}}]); \ No newline at end of file diff --git a/assets/js/main.7e9d4b9b.js b/assets/js/main.7e9d4b9b.js new file mode 100644 index 0000000..82339ae --- /dev/null +++ b/assets/js/main.7e9d4b9b.js @@ -0,0 +1,2 @@ +/*! For license information please see main.7e9d4b9b.js.LICENSE.txt */ +(self.webpackChunkfi=self.webpackChunkfi||[]).push([[179],{830:(e,t,n)=>{"use strict";n.d(t,{W:()=>a});var r=n(7294);function a(){return r.createElement("svg",{width:"20",height:"20",className:"DocSearch-Search-Icon",viewBox:"0 0 20 20"},r.createElement("path",{d:"M14.386 14.386l4.0877 4.0877-4.0877-4.0877c-2.9418 2.9419-7.7115 2.9419-10.6533 0-2.9419-2.9418-2.9419-7.7115 0-10.6533 2.9418-2.9419 7.7115-2.9419 10.6533 0 2.9419 2.9418 2.9419 7.7115 0 10.6533z",stroke:"currentColor",fill:"none",fillRule:"evenodd",strokeLinecap:"round",strokeLinejoin:"round"}))}},723:(e,t,n)=>{"use strict";n.d(t,{Z:()=>p});var r=n(7294),a=n(7462),o=n(8356),i=n.n(o),l=n(6887);const s={"01a85c17":[()=>Promise.all([n.e(532),n.e(4013)]).then(n.bind(n,4524)),"@theme/BlogTagsListPage",4524],"0220f5fc":[()=>n.e(1378).then(n.t.bind(n,5804,19)),"/home/runner/work/blog/blog/.docusaurus/docusaurus-plugin-content-blog/blog/plugin-route-context-module-100.json",5804],"0608d96f":[()=>n.e(7568).then(n.t.bind(n,7158,19)),"~blog/blog/blog-tags-vps-843-list.json",7158],"09bc59e7":[()=>n.e(4932).then(n.t.bind(n,3649,19)),"~docs/ib002/category-ib-002-autogeneratedbar-category-graphs-387.json",3649],"0bfe45d5":[()=>n.e(4269).then(n.t.bind(n,3847,19)),"~blog/blog/blog-tags-rust-0c9-list.json",3847],"0fcbc6ca":[()=>Promise.all([n.e(532),n.e(1851)]).then(n.bind(n,9900)),"@site/src/pages/talks.tsx",9900],"146d9b84":[()=>n.e(9300).then(n.t.bind(n,6671,19)),"~blog/blog/blog-tags-admin-b05-list.json",6671],"14eb3368":[()=>Promise.all([n.e(532),n.e(9817)]).then(n.bind(n,4228)),"@theme/DocCategoryGeneratedIndexPage",4228],17896441:[()=>Promise.all([n.e(532),n.e(8954),n.e(7918)]).then(n.bind(n,5154)),"@theme/DocItem",5154],"18f481e4":[()=>n.e(6057).then(n.t.bind(n,1738,19)),"~docs/ib002/tag-ib-002-tags-java-086.json",1738],"19d7c045":[()=>n.e(4637).then(n.t.bind(n,7772,19)),"~blog/blog/blog-tags-advent-of-code-49f.json",7772],"1a4e3797":[()=>Promise.all([n.e(532),n.e(7920)]).then(n.bind(n,9172)),"@theme/SearchPage",9172],"1be78505":[()=>Promise.all([n.e(532),n.e(9514)]).then(n.bind(n,9963)),"@theme/DocPage",9963],"1bebd4ed":[()=>n.e(404).then(n.t.bind(n,9623,19)),"~docs/pb071/version-current-metadata-prop-751.json",9623],"1e2009d3":[()=>n.e(3906).then(n.bind(n,2131)),"@site/ib002/08-rb-trees/2022-04-05-applications.md",2131],"1e298f0c":[()=>n.e(2732).then(n.t.bind(n,3467,19)),"~docs/ib002/tag-ib-002-tags-bfs-346.json",3467],"22a175ec":[()=>Promise.all([n.e(532),n.e(6890)]).then(n.bind(n,707)),"@site/src/pages/contributions.tsx",707],"2523321d":[()=>n.e(9193).then(n.bind(n,5998)),"@site/pb071/bonuses/08.md",5998],27470891:[()=>n.e(4972).then(n.t.bind(n,9249,19)),"/home/runner/work/blog/blog/.docusaurus/docusaurus-plugin-content-docs/pb071/plugin-route-context-module-100.json",9249],"280c26e1":[()=>n.e(5529).then(n.t.bind(n,3272,19)),"/home/runner/work/blog/blog/.docusaurus/docusaurus-plugin-content-docs/ib002/plugin-route-context-module-100.json",3272],29694455:[()=>n.e(3388).then(n.t.bind(n,9828,19)),"~blog/blog/blog-tags-iterators-977-list.json",9828],"2a09abcd":[()=>n.e(1246).then(n.bind(n,3903)),"@site/ib002/10-graphs/2022-04-30-bfs-tree.md",3903],"3011a4c0":[()=>n.e(7926).then(n.t.bind(n,1670,19)),"~blog/blog/blog-tags-copr-70b-list.json",1670],"337bc122":[()=>n.e(1731).then(n.bind(n,8378)),"@site/pb071/00-intro-pb071.md",8378],"3593220c":[()=>n.e(8167).then(n.t.bind(n,2947,19)),"~docs/ib002/tag-ib-002-tags-greedy-99b.json",2947],"3720c009":[()=>Promise.all([n.e(532),n.e(3751)]).then(n.bind(n,727)),"@theme/DocTagsListPage",727],"377f3aa1":[()=>n.e(1011).then(n.bind(n,3248)),"@site/blog/aoc-2022/02-week-2.md",3248],"37cf4872":[()=>n.e(7979).then(n.t.bind(n,821,19)),"~docs/ib002/tag-ib-002-tags-postconditions-162.json",821],"3aef4518":[()=>n.e(1505).then(n.t.bind(n,1921,19)),"~docs/ib002/tag-ib-002-tags-iterative-678.json",1921],"3da4b779":[()=>n.e(2177).then(n.bind(n,8180)),"@site/blog/aoc-2022/04-week-4.md",8180],"3de247b5":[()=>Promise.all([n.e(532),n.e(3184)]).then(n.bind(n,5306)),"@site/ib002/08-rb-trees/2023-06-10-rules.md",5306],"4200b1a9":[()=>n.e(866).then(n.t.bind(n,4612,19)),"~blog/blog/blog-archive-80c.json",4612],"4621632b":[()=>n.e(3519).then(n.t.bind(n,9760,19)),"~blog/blog/blog-tags-cpp-7c7-list.json",9760],"4688cd57":[()=>n.e(932).then(n.t.bind(n,2647,19)),"~docs/pb071/category-pb-071-autogeneratedbar-category-bonuses-855.json",2647],"470a9204":[()=>n.e(3936).then(n.t.bind(n,4439,19)),"~docs/ib002/tag-ib-002-tags-applications-a68.json",4439],"4c4e9f30":[()=>n.e(7883).then(n.t.bind(n,7803,19)),"~docs/ib002/tag-ib-002-tags-exponential-5c3.json",7803],"4e286f4e":[()=>n.e(1501).then(n.bind(n,6038)),"@site/ib002/04-recursion/2022-11-29-karel-1.md",6038],"4edd2021":[()=>n.e(5975).then(n.t.bind(n,1705,19)),"~blog/blog/blog-tags-cpp-7c7.json",1705],"4ee12fa2":[()=>n.e(7963).then(n.bind(n,9258)),"@site/pb161/00-intro-pb161.md",9258],51624505:[()=>n.e(3731).then(n.bind(n,905)),"@site/blog/aoc-2022/00-intro.md",905],"52bff962":[()=>n.e(9710).then(n.t.bind(n,1193,19)),"~docs/ib002/tags-list-current-prop-15a.json",1193],"52f2a5bf":[()=>n.e(5430).then(n.t.bind(n,1387,19)),"~blog/blog/blog-tags-red-hat-df4.json",1387],"58dd4fbd":[()=>n.e(3340).then(n.t.bind(n,3047,19)),"~docs/ib002/tag-ib-002-tags-c-d4e.json",3047],"5af27364":[()=>n.e(3502).then(n.t.bind(n,3162,19)),"~docs/ib002/tag-ib-002-tags-balanced-trees-896.json",3162],"5e9f5e1a":[()=>Promise.resolve().then(n.bind(n,6809)),"@generated/docusaurus.config",6809],"62d847b3":[()=>n.e(8520).then(n.t.bind(n,1901,19)),"~blog/blog/blog-tags-advent-of-code-2022-3db-list.json",1901],"66d5ef6c":[()=>n.e(9228).then(n.t.bind(n,4087,19)),"~blog/blog/blog-tags-tags-4c2.json",4087],"6875c492":[()=>Promise.all([n.e(532),n.e(8954),n.e(6048),n.e(8610)]).then(n.bind(n,1714)),"@theme/BlogTagsPostsPage",1714],"713b7838":[()=>n.e(2167).then(n.bind(n,6652)),"@site/pb071/bonuses/04.md",6652],"73d5f13d":[()=>n.e(7555).then(n.t.bind(n,3974,19)),"~docs/ib002/tag-ib-002-tags-iterators-e30.json",3974],"74c2e0e9":[()=>n.e(3528).then(n.t.bind(n,2235,19)),"~docs/ib002/tag-ib-002-tags-backtracking-737.json",2235],"75316eff":[()=>n.e(4287).then(n.t.bind(n,5603,19)),"~docs/ib002/tag-ib-002-tags-python-65c.json",5603],"75cccf44":[()=>n.e(4256).then(n.bind(n,634)),"@site/blog/leetcode/sort-matrix-diagonally.md?truncated=true",634],"765ea78b":[()=>n.e(3039).then(n.t.bind(n,3010,19)),"~blog/blog/blog-tags-\ud83c\udfed-551.json",3010],"788cc978":[()=>n.e(9157).then(n.bind(n,3506)),"@site/ib002/03-time-complexity/2021-03-31-extend.md",3506],"7cf94373":[()=>n.e(3095).then(n.bind(n,1010)),"@site/pb071/bonuses/10.md",1010],"7d580cdb":[()=>n.e(8442).then(n.bind(n,7527)),"@site/ib002/04-recursion/2023-08-17-pyramid-slide-down.md",7527],"82b3b723":[()=>n.e(5787).then(n.t.bind(n,6564,19)),"~docs/ib002/tag-ib-002-tags-dynamic-programming-5f1.json",6564],"834ed470":[()=>n.e(3223).then(n.bind(n,6454)),"@site/ib002/00-intro-ib002.md",6454],"83bf91d3":[()=>n.e(7823).then(n.bind(n,1187)),"@site/pb071/mr.md",1187],"8418981c":[()=>n.e(5383).then(n.t.bind(n,1930,19)),"~docs/ib002/tag-ib-002-tags-recursion-36f.json",1930],"86cd1460":[()=>n.e(1235).then(n.t.bind(n,8968,19)),"~blog/blog/blog-tags-leetcode-042.json",8968],"8b1802c5":[()=>n.e(8480).then(n.t.bind(n,832,19)),"~blog/blog/blog-tags-advent-of-code-49f-list.json",832],"8c0e532b":[()=>n.e(822).then(n.t.bind(n,3968,19)),"~blog/blog/blog-tags-vps-843.json",3968],"8e1fadd0":[()=>n.e(6554).then(n.t.bind(n,9278,19)),"~docs/ib002/category-ib-002-autogeneratedbar-category-algorithms-and-correctness-947.json",9278],"90425ffc":[()=>n.e(8769).then(n.bind(n,3167)),"@site/pb071/bonuses/03.md",3167],"9287eafd":[()=>n.e(5521).then(n.t.bind(n,716,19)),"~blog/blog/blog-tags-rust-0c9.json",716],"94036ea2":[()=>n.e(4477).then(n.t.bind(n,6996,19)),"~docs/pb161/version-current-metadata-prop-751.json",6996],"95b96bb9":[()=>n.e(3561).then(n.t.bind(n,4577,19)),"~blog/blog/blog-post-list-prop-blog.json",4577],"95be84b6":[()=>n.e(3835).then(n.t.bind(n,1820,19)),"~docs/ib002/tag-ib-002-tags-csharp-684.json",1820],"95f41f0b":[()=>n.e(9385).then(n.bind(n,6534)),"@site/blog/aoc-2022/01-week-1.md?truncated=true",6534],"9e4087bc":[()=>n.e(3608).then(n.bind(n,3169)),"@theme/BlogArchivePage",3169],"9eb50c57":[()=>n.e(7509).then(n.bind(n,6239)),"@site/ib002/02-algorithms-correctness/2021-03-18-postcondition-ambiguity.md",6239],a082abd3:[()=>n.e(8786).then(n.t.bind(n,3276,19)),"~blog/blog/blog-tags-admin-b05.json",3276],a2be6ffb:[()=>n.e(4800).then(n.bind(n,5185)),"@site/pb161/environment.md",5185],a6a48ea2:[()=>n.e(3618).then(n.bind(n,8763)),"@site/blog/aoc-2022/02-week-2.md?truncated=true",8763],a6aa9e1f:[()=>Promise.all([n.e(532),n.e(8954),n.e(6048),n.e(3089)]).then(n.bind(n,46)),"@theme/BlogListPage",46],a7098721:[()=>n.e(1050).then(n.t.bind(n,6615,19)),"~blog/blog/blog-c06.json",6615],a7d8226e:[()=>n.e(516).then(n.t.bind(n,4475,19)),"~docs/ib002/category-ib-002-autogeneratedbar-category-asymptotic-notation-and-time-complexity-5a5.json",4475],a80747a0:[()=>n.e(5824).then(n.t.bind(n,4464,19)),"~blog/blog/blog-tags-advent-of-code-2022-3db.json",4464],ab2721d4:[()=>n.e(7755).then(n.bind(n,861)),"@site/blog/aoc-2022/04-week-4.md?truncated=true",861],af8b72a7:[()=>n.e(5658).then(n.bind(n,3650)),"@site/blog/2023-08-02-copr.md?truncated=true",3650],b0067e0a:[()=>n.e(1272).then(n.t.bind(n,2611,19)),"~docs/ib002/version-current-metadata-prop-751.json",2611],b0291f37:[()=>n.e(6097).then(n.t.bind(n,7085,19)),"/home/runner/work/blog/blog/.docusaurus/docusaurus-theme-search-algolia/default/plugin-route-context-module-100.json",7085],b25fbc58:[()=>n.e(9197).then(n.t.bind(n,5617,19)),"~blog/blog/blog-tags-\ud83c\udfed-551-list.json",5617],b2c263ce:[()=>n.e(6192).then(n.t.bind(n,8379,19)),"~docs/ib002/category-ib-002-autogeneratedbar-category-recursion-061.json",8379],b45dccf0:[()=>n.e(9679).then(n.t.bind(n,8296,19)),"~blog/blog/blog-tags-copr-70b.json",8296],b5a32f14:[()=>n.e(2433).then(n.bind(n,9746)),"@site/blog/2023-08-02-copr.md",9746],b9b1ccdc:[()=>n.e(9044).then(n.bind(n,284)),"@site/pb071/pexam/c-cams.md",284],bb882650:[()=>n.e(8091).then(n.bind(n,6974)),"@site/blog/aoc-2022/03-week-3.md?truncated=true",6974],be4da062:[()=>n.e(6498).then(n.t.bind(n,4436,19)),"~docs/ib002/tag-ib-002-tags-time-complexity-7a0.json",4436],c4f5d8e4:[()=>Promise.all([n.e(532),n.e(4195)]).then(n.bind(n,3261)),"@site/src/pages/index.js",3261],c8cbffbd:[()=>n.e(9814).then(n.t.bind(n,4166,19)),"/home/runner/work/blog/blog/.docusaurus/docusaurus-plugin-content-docs/pb161/plugin-route-context-module-100.json",4166],ccc49370:[()=>Promise.all([n.e(532),n.e(8954),n.e(6048),n.e(6103)]).then(n.bind(n,5203)),"@theme/BlogPostPage",5203],cfa2b263:[()=>n.e(3086).then(n.bind(n,6031)),"@site/blog/leetcode/sort-matrix-diagonally.md",6031],d02d148d:[()=>n.e(7780).then(n.t.bind(n,9221,19)),"~docs/ib002/tag-ib-002-tags-testing-4cc.json",9221],d5ca4423:[()=>n.e(5126).then(n.t.bind(n,1032,19)),"~docs/ib002/tag-ib-002-tags-sorting-23e.json",1032],d661cf04:[()=>n.e(6112).then(n.t.bind(n,8194,19)),"~docs/pb071/category-pb-071-autogeneratedbar-category-practice-exams-a48.json",8194],d675395f:[()=>n.e(2741).then(n.t.bind(n,5745,19)),"/home/runner/work/blog/blog/.docusaurus/docusaurus-plugin-content-pages/default/plugin-route-context-module-100.json",5745],d74d369f:[()=>n.e(9479).then(n.t.bind(n,2231,19)),"~docs/ib002/category-ib-002-autogeneratedbar-category-red-black-trees-6b6.json",2231],d79dd549:[()=>n.e(5169).then(n.t.bind(n,9261,19)),"~blog/blog/blog-tags-red-hat-df4-list.json",9261],d7f7fb17:[()=>n.e(1171).then(n.bind(n,8049)),"@site/blog/aoc-2022/00-intro.md?truncated=true",8049],d9adc206:[()=>n.e(4252).then(n.t.bind(n,6297,19)),"~docs/ib002/tag-ib-002-tags-dynamic-array-119.json",6297],dadfcff0:[()=>n.e(7624).then(n.t.bind(n,3095,19)),"~docs/ib002/tag-ib-002-tags-graphs-c81.json",3095],df203c0f:[()=>n.e(9924).then(n.bind(n,491)),"@theme/DocTagDocListPage",491],dff2ebad:[()=>n.e(146).then(n.bind(n,577)),"@site/blog/aoc-2022/01-week-1.md",577],e25b3183:[()=>n.e(6).then(n.t.bind(n,5934,19)),"~docs/ib002/tag-ib-002-tags-top-down-dp-cc1.json",5934],e89da83e:[()=>n.e(8757).then(n.t.bind(n,7416,19)),"~blog/blog/blog-tags-leetcode-042-list.json",7416],eb7cc117:[()=>n.e(143).then(n.t.bind(n,3635,19)),"~docs/ib002/tag-ib-002-tags-red-black-trees-22f.json",3635],edfd2a45:[()=>n.e(7248).then(n.t.bind(n,1955,19)),"~docs/ib002/tag-ib-002-tags-karel-bbc.json",1955],f48be158:[()=>n.e(4064).then(n.bind(n,9859)),"@site/blog/aoc-2022/03-week-3.md",9859],f533ef4a:[()=>n.e(2160).then(n.bind(n,6489)),"@site/pb071/bonuses/05-06.md",6489],f60c832f:[()=>n.e(9611).then(n.bind(n,2490)),"@site/pb071/pexam/b-garbage_collect.md",2490],fcc91f97:[()=>n.e(6234).then(n.bind(n,4507)),"@site/ib002/10-graphs/2021-05-18-iterative-and-iterators.md",4507],fd0b1e16:[()=>n.e(5388).then(n.t.bind(n,955,19)),"~docs/ib002/tag-ib-002-tags-bottom-up-dp-3a4.json",955],ff472cd9:[()=>n.e(8643).then(n.t.bind(n,7122,19)),"~blog/blog/blog-tags-iterators-977.json",7122]};function c(e){let{error:t,retry:n,pastDelay:a}=e;return t?r.createElement("div",{style:{textAlign:"center",color:"#fff",backgroundColor:"#fa383e",borderColor:"#fa383e",borderStyle:"solid",borderRadius:"0.25rem",borderWidth:"1px",boxSizing:"border-box",display:"block",padding:"1rem",flex:"0 0 50%",marginLeft:"25%",marginRight:"25%",marginTop:"5rem",maxWidth:"50%",width:"100%"}},r.createElement("p",null,String(t)),r.createElement("div",null,r.createElement("button",{type:"button",onClick:n},"Retry"))):a?r.createElement("div",{style:{display:"flex",justifyContent:"center",alignItems:"center",height:"100vh"}},r.createElement("svg",{id:"loader",style:{width:128,height:110,position:"absolute",top:"calc(100vh - 64%)"},viewBox:"0 0 45 45",xmlns:"http://www.w3.org/2000/svg",stroke:"#61dafb"},r.createElement("g",{fill:"none",fillRule:"evenodd",transform:"translate(1 1)",strokeWidth:"2"},r.createElement("circle",{cx:"22",cy:"22",r:"6",strokeOpacity:"0"},r.createElement("animate",{attributeName:"r",begin:"1.5s",dur:"3s",values:"6;22",calcMode:"linear",repeatCount:"indefinite"}),r.createElement("animate",{attributeName:"stroke-opacity",begin:"1.5s",dur:"3s",values:"1;0",calcMode:"linear",repeatCount:"indefinite"}),r.createElement("animate",{attributeName:"stroke-width",begin:"1.5s",dur:"3s",values:"2;0",calcMode:"linear",repeatCount:"indefinite"})),r.createElement("circle",{cx:"22",cy:"22",r:"6",strokeOpacity:"0"},r.createElement("animate",{attributeName:"r",begin:"3s",dur:"3s",values:"6;22",calcMode:"linear",repeatCount:"indefinite"}),r.createElement("animate",{attributeName:"stroke-opacity",begin:"3s",dur:"3s",values:"1;0",calcMode:"linear",repeatCount:"indefinite"}),r.createElement("animate",{attributeName:"stroke-width",begin:"3s",dur:"3s",values:"2;0",calcMode:"linear",repeatCount:"indefinite"})),r.createElement("circle",{cx:"22",cy:"22",r:"8"},r.createElement("animate",{attributeName:"r",begin:"0s",dur:"1.5s",values:"6;1;2;3;4;5;6",calcMode:"linear",repeatCount:"indefinite"}))))):null}var u=n(9670),d=n(226);function f(e,t){if("*"===e)return i()({loading:c,loader:()=>n.e(7515).then(n.bind(n,4972)),modules:["@theme/NotFound"],webpack:()=>[4972],render(e,t){const n=e.default;return r.createElement(d.z,{value:{plugin:{name:"native",id:"default"}}},r.createElement(n,t))}});const o=l[`${e}-${t}`],f={},p=[],m=[],g=(0,u.Z)(o);return Object.entries(g).forEach((e=>{let[t,n]=e;const r=s[n];r&&(f[t]=r[0],p.push(r[1]),m.push(r[2]))})),i().Map({loading:c,loader:f,modules:p,webpack:()=>m,render(t,n){const i=JSON.parse(JSON.stringify(o));Object.entries(t).forEach((t=>{let[n,r]=t;const a=r.default;if(!a)throw new Error(`The page component at ${e} doesn't have a default export. This makes it impossible to render anything. Consider default-exporting a React component.`);"object"!=typeof a&&"function"!=typeof a||Object.keys(r).filter((e=>"default"!==e)).forEach((e=>{a[e]=r[e]}));let o=i;const l=n.split(".");l.slice(0,-1).forEach((e=>{o=o[e]})),o[l[l.length-1]]=a}));const l=i.__comp;delete i.__comp;const s=i.__context;return delete i.__context,r.createElement(d.z,{value:s},r.createElement(l,(0,a.Z)({},i,n)))}})}const p=[{path:"/blog",component:f("/blog","a0e"),exact:!0},{path:"/blog/2023/08/02/copr",component:f("/blog/2023/08/02/copr","75c"),exact:!0},{path:"/blog/aoc-2022/1st-week",component:f("/blog/aoc-2022/1st-week","0fa"),exact:!0},{path:"/blog/aoc-2022/2nd-week",component:f("/blog/aoc-2022/2nd-week","0be"),exact:!0},{path:"/blog/aoc-2022/3rd-week",component:f("/blog/aoc-2022/3rd-week","2f7"),exact:!0},{path:"/blog/aoc-2022/4th-week",component:f("/blog/aoc-2022/4th-week","9fd"),exact:!0},{path:"/blog/aoc-2022/intro",component:f("/blog/aoc-2022/intro","645"),exact:!0},{path:"/blog/archive",component:f("/blog/archive","db3"),exact:!0},{path:"/blog/leetcode/sort-diagonally",component:f("/blog/leetcode/sort-diagonally","819"),exact:!0},{path:"/blog/tags",component:f("/blog/tags","726"),exact:!0},{path:"/blog/tags/\ud83c\udfed",component:f("/blog/tags/\ud83c\udfed","fa9"),exact:!0},{path:"/blog/tags/admin",component:f("/blog/tags/admin","3a8"),exact:!0},{path:"/blog/tags/advent-of-code",component:f("/blog/tags/advent-of-code","3ce"),exact:!0},{path:"/blog/tags/advent-of-code-2022",component:f("/blog/tags/advent-of-code-2022","a9b"),exact:!0},{path:"/blog/tags/copr",component:f("/blog/tags/copr","dd4"),exact:!0},{path:"/blog/tags/cpp",component:f("/blog/tags/cpp","d2e"),exact:!0},{path:"/blog/tags/iterators",component:f("/blog/tags/iterators","f8b"),exact:!0},{path:"/blog/tags/leetcode",component:f("/blog/tags/leetcode","238"),exact:!0},{path:"/blog/tags/red-hat",component:f("/blog/tags/red-hat","06b"),exact:!0},{path:"/blog/tags/rust",component:f("/blog/tags/rust","576"),exact:!0},{path:"/blog/tags/vps",component:f("/blog/tags/vps","afb"),exact:!0},{path:"/contributions",component:f("/contributions","c6e"),exact:!0},{path:"/ib002/tags",component:f("/ib002/tags","139"),exact:!0},{path:"/ib002/tags/applications",component:f("/ib002/tags/applications","bd0"),exact:!0},{path:"/ib002/tags/backtracking",component:f("/ib002/tags/backtracking","e79"),exact:!0},{path:"/ib002/tags/balanced-trees",component:f("/ib002/tags/balanced-trees","633"),exact:!0},{path:"/ib002/tags/bfs",component:f("/ib002/tags/bfs","2b0"),exact:!0},{path:"/ib002/tags/bottom-up-dp",component:f("/ib002/tags/bottom-up-dp","bfd"),exact:!0},{path:"/ib002/tags/c",component:f("/ib002/tags/c","41d"),exact:!0},{path:"/ib002/tags/csharp",component:f("/ib002/tags/csharp","e02"),exact:!0},{path:"/ib002/tags/dynamic-array",component:f("/ib002/tags/dynamic-array","a76"),exact:!0},{path:"/ib002/tags/dynamic-programming",component:f("/ib002/tags/dynamic-programming","5f1"),exact:!0},{path:"/ib002/tags/exponential",component:f("/ib002/tags/exponential","3dd"),exact:!0},{path:"/ib002/tags/graphs",component:f("/ib002/tags/graphs","b40"),exact:!0},{path:"/ib002/tags/greedy",component:f("/ib002/tags/greedy","f4e"),exact:!0},{path:"/ib002/tags/iterative",component:f("/ib002/tags/iterative","81e"),exact:!0},{path:"/ib002/tags/iterators",component:f("/ib002/tags/iterators","a31"),exact:!0},{path:"/ib002/tags/java",component:f("/ib002/tags/java","99a"),exact:!0},{path:"/ib002/tags/karel",component:f("/ib002/tags/karel","a44"),exact:!0},{path:"/ib002/tags/postconditions",component:f("/ib002/tags/postconditions","5a4"),exact:!0},{path:"/ib002/tags/python",component:f("/ib002/tags/python","2cd"),exact:!0},{path:"/ib002/tags/recursion",component:f("/ib002/tags/recursion","1ae"),exact:!0},{path:"/ib002/tags/red-black-trees",component:f("/ib002/tags/red-black-trees","2b4"),exact:!0},{path:"/ib002/tags/sorting",component:f("/ib002/tags/sorting","90a"),exact:!0},{path:"/ib002/tags/testing",component:f("/ib002/tags/testing","b13"),exact:!0},{path:"/ib002/tags/time-complexity",component:f("/ib002/tags/time-complexity","01e"),exact:!0},{path:"/ib002/tags/top-down-dp",component:f("/ib002/tags/top-down-dp","e81"),exact:!0},{path:"/search",component:f("/search","49e"),exact:!0},{path:"/talks",component:f("/talks","cdf"),exact:!0},{path:"/ib002",component:f("/ib002","092"),routes:[{path:"/ib002/",component:f("/ib002/","e66"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/algorithms-correctness/postcondition-ambiguity",component:f("/ib002/algorithms-correctness/postcondition-ambiguity","760"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/category/algorithms-and-correctness",component:f("/ib002/category/algorithms-and-correctness","cde"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/category/asymptotic-notation-and-time-complexity",component:f("/ib002/category/asymptotic-notation-and-time-complexity","b3d"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/category/graphs",component:f("/ib002/category/graphs","eb5"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/category/recursion",component:f("/ib002/category/recursion","39b"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/category/red-black-trees",component:f("/ib002/category/red-black-trees","e0c"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/graphs/bfs-tree",component:f("/ib002/graphs/bfs-tree","aaa"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/graphs/iterative-and-iterators",component:f("/ib002/graphs/iterative-and-iterators","489"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/rb-trees/applications",component:f("/ib002/rb-trees/applications","cfb"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/rb-trees/rules",component:f("/ib002/rb-trees/rules","35f"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/recursion/karel-1",component:f("/ib002/recursion/karel-1","11c"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/recursion/pyramid-slide-down",component:f("/ib002/recursion/pyramid-slide-down","73a"),exact:!0,sidebar:"autogeneratedBar"},{path:"/ib002/time-complexity/extend",component:f("/ib002/time-complexity/extend","712"),exact:!0,sidebar:"autogeneratedBar"}]},{path:"/pb071",component:f("/pb071","f28"),routes:[{path:"/pb071/",component:f("/pb071/","66f"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/bonuses/seminar-03",component:f("/pb071/bonuses/seminar-03","86d"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/bonuses/seminar-04",component:f("/pb071/bonuses/seminar-04","7d6"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/bonuses/seminar-05-06",component:f("/pb071/bonuses/seminar-05-06","c41"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/bonuses/seminar-08",component:f("/pb071/bonuses/seminar-08","487"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/bonuses/seminar-10",component:f("/pb071/bonuses/seminar-10","8b8"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/category/bonuses",component:f("/pb071/category/bonuses","995"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/category/practice-exams",component:f("/pb071/category/practice-exams","066"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/mr",component:f("/pb071/mr","a43"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/pexam/cams",component:f("/pb071/pexam/cams","a0c"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb071/pexam/garbage_collect",component:f("/pb071/pexam/garbage_collect","0af"),exact:!0,sidebar:"autogeneratedBar"}]},{path:"/pb161",component:f("/pb161","bca"),routes:[{path:"/pb161/",component:f("/pb161/","726"),exact:!0,sidebar:"autogeneratedBar"},{path:"/pb161/environment",component:f("/pb161/environment","a0b"),exact:!0,sidebar:"autogeneratedBar"}]},{path:"/",component:f("/","dfb"),exact:!0},{path:"*",component:f("*")}]},8934:(e,t,n)=>{"use strict";n.d(t,{_:()=>a,t:()=>o});var r=n(7294);const a=r.createContext(!1);function o(e){let{children:t}=e;const[n,o]=(0,r.useState)(!1);return(0,r.useEffect)((()=>{o(!0)}),[]),r.createElement(a.Provider,{value:n},t)}},9383:(e,t,n)=>{"use strict";var r=n(7294),a=n(3935),o=n(3727),i=n(405),l=n(412);const s=[n(2497),n(3310),n(8320),n(7439),n(7800)];var c=n(723),u=n(6550),d=n(8790);function f(e){let{children:t}=e;return r.createElement(r.Fragment,null,t)}var p=n(7462),m=n(5742),g=n(2263),h=n(4996),b=n(6668),v=n(833),y=n(4711),w=n(9727),k=n(3320),E=n(197);function S(){const{i18n:{defaultLocale:e,localeConfigs:t}}=(0,g.Z)(),n=(0,y.l)();return r.createElement(m.Z,null,Object.entries(t).map((e=>{let[t,{htmlLang:a}]=e;return r.createElement("link",{key:t,rel:"alternate",href:n.createUrl({locale:t,fullyQualified:!0}),hrefLang:a})})),r.createElement("link",{rel:"alternate",href:n.createUrl({locale:e,fullyQualified:!0}),hrefLang:"x-default"}))}function _(e){let{permalink:t}=e;const{siteConfig:{url:n}}=(0,g.Z)(),a=function(){const{siteConfig:{url:e}}=(0,g.Z)(),{pathname:t}=(0,u.TH)();return e+(0,h.Z)(t)}(),o=t?`${n}${t}`:a;return r.createElement(m.Z,null,r.createElement("meta",{property:"og:url",content:o}),r.createElement("link",{rel:"canonical",href:o}))}function x(){const{i18n:{currentLocale:e}}=(0,g.Z)(),{metadata:t,image:n}=(0,b.L)();return r.createElement(r.Fragment,null,r.createElement(m.Z,null,r.createElement("meta",{name:"twitter:card",content:"summary_large_image"}),r.createElement("body",{className:w.h})),n&&r.createElement(v.d,{image:n}),r.createElement(_,null),r.createElement(S,null),r.createElement(E.Z,{tag:k.HX,locale:e}),r.createElement(m.Z,null,t.map(((e,t)=>r.createElement("meta",(0,p.Z)({key:t},e))))))}const T=new Map;function C(e){if(T.has(e.pathname))return{...e,pathname:T.get(e.pathname)};if((0,d.f)(c.Z,e.pathname).some((e=>{let{route:t}=e;return!0===t.exact})))return T.set(e.pathname,e.pathname),e;const t=e.pathname.trim().replace(/(?:\/index)?\.html$/,"")||"/";return T.set(e.pathname,t),{...e,pathname:t}}var A=n(8934),L=n(8940);function P(e){for(var t=arguments.length,n=new Array(t>1?t-1:0),r=1;r{const r=t.default?.[e]??t[e];return r?.(...n)}));return()=>a.forEach((e=>e?.()))}const N=function(e){let{children:t,location:n,previousLocation:a}=e;return(0,r.useLayoutEffect)((()=>{a!==n&&(!function(e){let{location:t,previousLocation:n}=e;if(!n)return;const r=t.pathname===n.pathname,a=t.hash===n.hash,o=t.search===n.search;if(r&&a&&!o)return;const{hash:i}=t;if(i){const e=decodeURIComponent(i.substring(1)),t=document.getElementById(e);t?.scrollIntoView()}else window.scrollTo(0,0)}({location:n,previousLocation:a}),P("onRouteDidUpdate",{previousLocation:a,location:n}))}),[a,n]),t};function I(e){const t=Array.from(new Set([e,decodeURI(e)])).map((e=>(0,d.f)(c.Z,e))).flat();return Promise.all(t.map((e=>e.route.component.preload?.())))}class O extends r.Component{previousLocation;routeUpdateCleanupCb;constructor(e){super(e),this.previousLocation=null,this.routeUpdateCleanupCb=l.Z.canUseDOM?P("onRouteUpdate",{previousLocation:null,location:this.props.location}):()=>{},this.state={nextRouteHasLoaded:!0}}shouldComponentUpdate(e,t){if(e.location===this.props.location)return t.nextRouteHasLoaded;const n=e.location;return this.previousLocation=this.props.location,this.setState({nextRouteHasLoaded:!1}),this.routeUpdateCleanupCb=P("onRouteUpdate",{previousLocation:this.previousLocation,location:n}),I(n.pathname).then((()=>{this.routeUpdateCleanupCb(),this.setState({nextRouteHasLoaded:!0})})).catch((e=>{console.warn(e),window.location.reload()})),!1}render(){const{children:e,location:t}=this.props;return r.createElement(N,{previousLocation:this.previousLocation,location:t},r.createElement(u.AW,{location:t,render:()=>e}))}}const R=O,M="__docusaurus-base-url-issue-banner-container",D="__docusaurus-base-url-issue-banner",B="__docusaurus-base-url-issue-banner-suggestion-container",F="__DOCUSAURUS_INSERT_BASEURL_BANNER";function $(e){return`\nwindow['${F}'] = true;\n\ndocument.addEventListener('DOMContentLoaded', maybeInsertBanner);\n\nfunction maybeInsertBanner() {\n var shouldInsert = window['${F}'];\n shouldInsert && insertBanner();\n}\n\nfunction insertBanner() {\n var bannerContainer = document.getElementById('${M}');\n if (!bannerContainer) {\n return;\n }\n var bannerHtml = ${JSON.stringify(function(e){return`\n
\n

Your Docusaurus site did not load properly.

\n

A very common reason is a wrong site baseUrl configuration.

\n

Current configured baseUrl = ${e} ${"/"===e?" (default value)":""}

\n

We suggest trying baseUrl =

\n
\n`}(e)).replace(/{window[F]=!1}),[]),r.createElement(r.Fragment,null,!l.Z.canUseDOM&&r.createElement(m.Z,null,r.createElement("script",null,$(e))),r.createElement("div",{id:M}))}function z(){const{siteConfig:{baseUrl:e,baseUrlIssueBanner:t}}=(0,g.Z)(),{pathname:n}=(0,u.TH)();return t&&n===e?r.createElement(j,null):null}function U(){const{siteConfig:{favicon:e,title:t,noIndex:n},i18n:{currentLocale:a,localeConfigs:o}}=(0,g.Z)(),i=(0,h.Z)(e),{htmlLang:l,direction:s}=o[a];return r.createElement(m.Z,null,r.createElement("html",{lang:l,dir:s}),r.createElement("title",null,t),r.createElement("meta",{property:"og:title",content:t}),r.createElement("meta",{name:"viewport",content:"width=device-width, initial-scale=1.0"}),n&&r.createElement("meta",{name:"robots",content:"noindex, nofollow"}),e&&r.createElement("link",{rel:"icon",href:i}))}var Z=n(4763);function H(){const e=(0,d.H)(c.Z),t=(0,u.TH)();return r.createElement(Z.Z,null,r.createElement(L.M,null,r.createElement(A.t,null,r.createElement(f,null,r.createElement(U,null),r.createElement(x,null),r.createElement(z,null),r.createElement(R,{location:C(t)},e)))))}var G=n(6887);const V=function(e){try{return document.createElement("link").relList.supports(e)}catch{return!1}}("prefetch")?function(e){return new Promise(((t,n)=>{if("undefined"==typeof document)return void n();const r=document.createElement("link");r.setAttribute("rel","prefetch"),r.setAttribute("href",e),r.onload=()=>t(),r.onerror=()=>n();const a=document.getElementsByTagName("head")[0]??document.getElementsByName("script")[0]?.parentNode;a?.appendChild(r)}))}:function(e){return new Promise(((t,n)=>{const r=new XMLHttpRequest;r.open("GET",e,!0),r.withCredentials=!0,r.onload=()=>{200===r.status?t():n()},r.send(null)}))};var W=n(9670);const q=new Set,Y=new Set,K=()=>navigator.connection?.effectiveType.includes("2g")||navigator.connection?.saveData,X={prefetch(e){if(!(e=>!K()&&!Y.has(e)&&!q.has(e))(e))return!1;q.add(e);const t=(0,d.f)(c.Z,e).flatMap((e=>{return t=e.route.path,Object.entries(G).filter((e=>{let[n]=e;return n.replace(/-[^-]+$/,"")===t})).flatMap((e=>{let[,t]=e;return Object.values((0,W.Z)(t))}));var t}));return Promise.all(t.map((e=>{const t=n.gca(e);return t&&!t.includes("undefined")?V(t).catch((()=>{})):Promise.resolve()})))},preload:e=>!!(e=>!K()&&!Y.has(e))(e)&&(Y.add(e),I(e))},Q=Object.freeze(X);if(l.Z.canUseDOM){window.docusaurus=Q;const e=a.hydrate;I(window.location.pathname).then((()=>{e(r.createElement(i.B6,null,r.createElement(o.VK,null,r.createElement(H,null))),document.getElementById("__docusaurus"))}))}},8940:(e,t,n)=>{"use strict";n.d(t,{_:()=>u,M:()=>d});var r=n(7294),a=n(6809);const o=JSON.parse('{"docusaurus-plugin-content-docs":{"pb071":{"path":"/pb071","versions":[{"name":"current","label":"Next","isLast":true,"path":"/pb071","mainDocId":"pb071-intro","docs":[{"id":"bonuses/seminar-03","path":"/pb071/bonuses/seminar-03","sidebar":"autogeneratedBar"},{"id":"bonuses/seminar-04","path":"/pb071/bonuses/seminar-04","sidebar":"autogeneratedBar"},{"id":"bonuses/seminar-05-06","path":"/pb071/bonuses/seminar-05-06","sidebar":"autogeneratedBar"},{"id":"bonuses/seminar-08","path":"/pb071/bonuses/seminar-08","sidebar":"autogeneratedBar"},{"id":"bonuses/seminar-10","path":"/pb071/bonuses/seminar-10","sidebar":"autogeneratedBar"},{"id":"mr","path":"/pb071/mr","sidebar":"autogeneratedBar"},{"id":"pb071-intro","path":"/pb071/","sidebar":"autogeneratedBar"},{"id":"pexam/b-garbage_collect","path":"/pb071/pexam/garbage_collect","sidebar":"autogeneratedBar"},{"id":"pexam/c-cams","path":"/pb071/pexam/cams","sidebar":"autogeneratedBar"},{"id":"/category/bonuses","path":"/pb071/category/bonuses","sidebar":"autogeneratedBar"},{"id":"/category/practice-exams","path":"/pb071/category/practice-exams","sidebar":"autogeneratedBar"}],"draftIds":[],"sidebars":{"autogeneratedBar":{"link":{"path":"/pb071/","label":"pb071-intro"}}}}],"breadcrumbs":true},"pb161":{"path":"/pb161","versions":[{"name":"current","label":"Next","isLast":true,"path":"/pb161","mainDocId":"pb161-intro","docs":[{"id":"environment","path":"/pb161/environment","sidebar":"autogeneratedBar"},{"id":"pb161-intro","path":"/pb161/","sidebar":"autogeneratedBar"}],"draftIds":[],"sidebars":{"autogeneratedBar":{"link":{"path":"/pb161/","label":"pb161-intro"}}}}],"breadcrumbs":true},"ib002":{"path":"/ib002","versions":[{"name":"current","label":"Next","isLast":true,"path":"/ib002","mainDocId":"ib002-intro","docs":[{"id":"algorithms-correctness/postcondition-ambiguity","path":"/ib002/algorithms-correctness/postcondition-ambiguity","sidebar":"autogeneratedBar"},{"id":"graphs/bfs-tree","path":"/ib002/graphs/bfs-tree","sidebar":"autogeneratedBar"},{"id":"graphs/iterative-and-iterators","path":"/ib002/graphs/iterative-and-iterators","sidebar":"autogeneratedBar"},{"id":"ib002-intro","path":"/ib002/","sidebar":"autogeneratedBar"},{"id":"rb-trees/applications","path":"/ib002/rb-trees/applications","sidebar":"autogeneratedBar"},{"id":"rb-trees/rules","path":"/ib002/rb-trees/rules","sidebar":"autogeneratedBar"},{"id":"recursion/karel-1","path":"/ib002/recursion/karel-1","sidebar":"autogeneratedBar"},{"id":"recursion/pyramid-slide-down","path":"/ib002/recursion/pyramid-slide-down","sidebar":"autogeneratedBar"},{"id":"time-complexity/extend","path":"/ib002/time-complexity/extend","sidebar":"autogeneratedBar"},{"id":"/category/algorithms-and-correctness","path":"/ib002/category/algorithms-and-correctness","sidebar":"autogeneratedBar"},{"id":"/category/asymptotic-notation-and-time-complexity","path":"/ib002/category/asymptotic-notation-and-time-complexity","sidebar":"autogeneratedBar"},{"id":"/category/recursion","path":"/ib002/category/recursion","sidebar":"autogeneratedBar"},{"id":"/category/red-black-trees","path":"/ib002/category/red-black-trees","sidebar":"autogeneratedBar"},{"id":"/category/graphs","path":"/ib002/category/graphs","sidebar":"autogeneratedBar"}],"draftIds":[],"sidebars":{"autogeneratedBar":{"link":{"path":"/ib002/","label":"ib002-intro"}}}}],"breadcrumbs":true}}}'),i=JSON.parse('{"defaultLocale":"en","locales":["en"],"path":"i18n","currentLocale":"en","localeConfigs":{"en":{"label":"English","direction":"ltr","htmlLang":"en","calendar":"gregory","path":"en"}}}');var l=n(7529);const s=JSON.parse('{"docusaurusVersion":"2.4.1","siteVersion":"0.0.0","pluginVersions":{"docusaurus-plugin-content-pages":{"type":"package","name":"@docusaurus/plugin-content-pages","version":"2.4.1"},"docusaurus-plugin-sitemap":{"type":"package","name":"@docusaurus/plugin-sitemap","version":"2.4.1"},"docusaurus-theme-classic":{"type":"package","name":"@docusaurus/theme-classic","version":"2.4.1"},"docusaurus-theme-search-algolia":{"type":"package","name":"@docusaurus/theme-search-algolia","version":"2.4.1"},"docusaurus-plugin-content-docs":{"type":"package","name":"@docusaurus/plugin-content-docs","version":"2.4.1"},"docusaurus-plugin-content-blog":{"type":"package","name":"@docusaurus/plugin-content-blog","version":"2.4.1"},"docusaurus-plugin-sass":{"type":"package","name":"docusaurus-plugin-sass","version":"0.2.5"},"docusaurus-theme-mermaid":{"type":"package","name":"@docusaurus/theme-mermaid","version":"2.4.1"}}}'),c={siteConfig:a.default,siteMetadata:s,globalData:o,i18n:i,codeTranslations:l},u=r.createContext(c);function d(e){let{children:t}=e;return r.createElement(u.Provider,{value:c},t)}},4763:(e,t,n)=>{"use strict";n.d(t,{Z:()=>f});var r=n(7294),a=n(412),o=n(5742),i=n(8780),l=n(7452);function s(e){let{error:t,tryAgain:n}=e;return r.createElement("div",{style:{display:"flex",flexDirection:"column",justifyContent:"center",alignItems:"flex-start",minHeight:"100vh",width:"100%",maxWidth:"80ch",fontSize:"20px",margin:"0 auto",padding:"1rem"}},r.createElement("h1",{style:{fontSize:"3rem"}},"This page crashed"),r.createElement("button",{type:"button",onClick:n,style:{margin:"1rem 0",fontSize:"2rem",cursor:"pointer",borderRadius:20,padding:"1rem"}},"Try again"),r.createElement(c,{error:t}))}function c(e){let{error:t}=e;const n=(0,i.getErrorCausalChain)(t).map((e=>e.message)).join("\n\nCause:\n");return r.createElement("p",{style:{whiteSpace:"pre-wrap"}},n)}function u(e){let{error:t,tryAgain:n}=e;return r.createElement(f,{fallback:()=>r.createElement(s,{error:t,tryAgain:n})},r.createElement(o.Z,null,r.createElement("title",null,"Page Error")),r.createElement(l.Z,null,r.createElement(s,{error:t,tryAgain:n})))}const d=e=>r.createElement(u,e);class f extends r.Component{constructor(e){super(e),this.state={error:null}}componentDidCatch(e){a.Z.canUseDOM&&this.setState({error:e})}render(){const{children:e}=this.props,{error:t}=this.state;if(t){const e={error:t,tryAgain:()=>this.setState({error:null})};return(this.props.fallback??d)(e)}return e??null}}},412:(e,t,n)=>{"use strict";n.d(t,{Z:()=>a});const r="undefined"!=typeof window&&"document"in window&&"createElement"in window.document,a={canUseDOM:r,canUseEventListeners:r&&("addEventListener"in window||"attachEvent"in window),canUseIntersectionObserver:r&&"IntersectionObserver"in window,canUseViewport:r&&"screen"in window}},5742:(e,t,n)=>{"use strict";n.d(t,{Z:()=>o});var r=n(7294),a=n(405);function o(e){return r.createElement(a.ql,e)}},9960:(e,t,n)=>{"use strict";n.d(t,{Z:()=>p});var r=n(7462),a=n(7294),o=n(3727),i=n(8780),l=n(2263),s=n(3919),c=n(412);const u=a.createContext({collectLink:()=>{}});var d=n(4996);function f(e,t){let{isNavLink:n,to:f,href:p,activeClassName:m,isActive:g,"data-noBrokenLinkCheck":h,autoAddBaseUrl:b=!0,...v}=e;const{siteConfig:{trailingSlash:y,baseUrl:w}}=(0,l.Z)(),{withBaseUrl:k}=(0,d.C)(),E=(0,a.useContext)(u),S=(0,a.useRef)(null);(0,a.useImperativeHandle)(t,(()=>S.current));const _=f||p;const x=(0,s.Z)(_),T=_?.replace("pathname://","");let C=void 0!==T?(A=T,b&&(e=>e.startsWith("/"))(A)?k(A):A):void 0;var A;C&&x&&(C=(0,i.applyTrailingSlash)(C,{trailingSlash:y,baseUrl:w}));const L=(0,a.useRef)(!1),P=n?o.OL:o.rU,N=c.Z.canUseIntersectionObserver,I=(0,a.useRef)(),O=()=>{L.current||null==C||(window.docusaurus.preload(C),L.current=!0)};(0,a.useEffect)((()=>(!N&&x&&null!=C&&window.docusaurus.prefetch(C),()=>{N&&I.current&&I.current.disconnect()})),[I,C,N,x]);const R=C?.startsWith("#")??!1,M=!C||!x||R;return M||h||E.collectLink(C),M?a.createElement("a",(0,r.Z)({ref:S,href:C},_&&!x&&{target:"_blank",rel:"noopener noreferrer"},v)):a.createElement(P,(0,r.Z)({},v,{onMouseEnter:O,onTouchStart:O,innerRef:e=>{S.current=e,N&&e&&x&&(I.current=new window.IntersectionObserver((t=>{t.forEach((t=>{e===t.target&&(t.isIntersecting||t.intersectionRatio>0)&&(I.current.unobserve(e),I.current.disconnect(),null!=C&&window.docusaurus.prefetch(C))}))})),I.current.observe(e))},to:C},n&&{isActive:g,activeClassName:m}))}const p=a.forwardRef(f)},5999:(e,t,n)=>{"use strict";n.d(t,{Z:()=>s,I:()=>l});var r=n(7294);function a(e,t){const n=e.split(/(\{\w+\})/).map(((e,n)=>{if(n%2==1){const n=t?.[e.slice(1,-1)];if(void 0!==n)return n}return e}));return n.some((e=>(0,r.isValidElement)(e)))?n.map(((e,t)=>(0,r.isValidElement)(e)?r.cloneElement(e,{key:t}):e)).filter((e=>""!==e)):n.join("")}var o=n(7529);function i(e){let{id:t,message:n}=e;if(void 0===t&&void 0===n)throw new Error("Docusaurus translation declarations must have at least a translation id or a default translation message");return o[t??n]??n??t}function l(e,t){let{message:n,id:r}=e;return a(i({message:n,id:r}),t)}function s(e){let{children:t,id:n,values:o}=e;if(t&&"string"!=typeof t)throw console.warn("Illegal children",t),new Error("The Docusaurus component only accept simple string values");const l=i({message:t,id:n});return r.createElement(r.Fragment,null,a(l,o))}},9935:(e,t,n)=>{"use strict";n.d(t,{m:()=>r});const r="default"},3919:(e,t,n)=>{"use strict";function r(e){return/^(?:\w*:|\/\/)/.test(e)}function a(e){return void 0!==e&&!r(e)}n.d(t,{Z:()=>a,b:()=>r})},4996:(e,t,n)=>{"use strict";n.d(t,{C:()=>i,Z:()=>l});var r=n(7294),a=n(2263),o=n(3919);function i(){const{siteConfig:{baseUrl:e,url:t}}=(0,a.Z)(),n=(0,r.useCallback)(((n,r)=>function(e,t,n,r){let{forcePrependBaseUrl:a=!1,absolute:i=!1}=void 0===r?{}:r;if(!n||n.startsWith("#")||(0,o.b)(n))return n;if(a)return t+n.replace(/^\//,"");if(n===t.replace(/\/$/,""))return t;const l=n.startsWith(t)?n:t+n.replace(/^\//,"");return i?e+l:l}(t,e,n,r)),[t,e]);return{withBaseUrl:n}}function l(e,t){void 0===t&&(t={});const{withBaseUrl:n}=i();return n(e,t)}},2263:(e,t,n)=>{"use strict";n.d(t,{Z:()=>o});var r=n(7294),a=n(8940);function o(){return(0,r.useContext)(a._)}},2389:(e,t,n)=>{"use strict";n.d(t,{Z:()=>o});var r=n(7294),a=n(8934);function o(){return(0,r.useContext)(a._)}},9670:(e,t,n)=>{"use strict";n.d(t,{Z:()=>a});const r=e=>"object"==typeof e&&!!e&&Object.keys(e).length>0;function a(e){const t={};return function e(n,a){Object.entries(n).forEach((n=>{let[o,i]=n;const l=a?`${a}.${o}`:o;r(i)?e(i,l):t[l]=i}))}(e),t}},226:(e,t,n)=>{"use strict";n.d(t,{_:()=>a,z:()=>o});var r=n(7294);const a=r.createContext(null);function o(e){let{children:t,value:n}=e;const o=r.useContext(a),i=(0,r.useMemo)((()=>function(e){let{parent:t,value:n}=e;if(!t){if(!n)throw new Error("Unexpected: no Docusaurus route context found");if(!("plugin"in n))throw new Error("Unexpected: Docusaurus topmost route context has no `plugin` attribute");return n}const r={...t.data,...n?.data};return{plugin:t.plugin,data:r}}({parent:o,value:n})),[o,n]);return r.createElement(a.Provider,{value:i},t)}},143:(e,t,n)=>{"use strict";n.d(t,{Iw:()=>b,gA:()=>p,WS:()=>m,_r:()=>d,Jo:()=>v,zh:()=>f,yW:()=>h,gB:()=>g});var r=n(6550),a=n(2263),o=n(9935);function i(e,t){void 0===t&&(t={});const n=function(){const{globalData:e}=(0,a.Z)();return e}()[e];if(!n&&t.failfast)throw new Error(`Docusaurus plugin global data not found for "${e}" plugin.`);return n}const l=e=>e.versions.find((e=>e.isLast));function s(e,t){const n=l(e);return[...e.versions.filter((e=>e!==n)),n].find((e=>!!(0,r.LX)(t,{path:e.path,exact:!1,strict:!1})))}function c(e,t){const n=s(e,t),a=n?.docs.find((e=>!!(0,r.LX)(t,{path:e.path,exact:!0,strict:!1})));return{activeVersion:n,activeDoc:a,alternateDocVersions:a?function(t){const n={};return e.versions.forEach((e=>{e.docs.forEach((r=>{r.id===t&&(n[e.name]=r)}))})),n}(a.id):{}}}const u={},d=()=>i("docusaurus-plugin-content-docs")??u,f=e=>function(e,t,n){void 0===t&&(t=o.m),void 0===n&&(n={});const r=i(e),a=r?.[t];if(!a&&n.failfast)throw new Error(`Docusaurus plugin global data not found for "${e}" plugin with id "${t}".`);return a}("docusaurus-plugin-content-docs",e,{failfast:!0});function p(e){void 0===e&&(e={});const t=d(),{pathname:n}=(0,r.TH)();return function(e,t,n){void 0===n&&(n={});const a=Object.entries(e).sort(((e,t)=>t[1].path.localeCompare(e[1].path))).find((e=>{let[,n]=e;return!!(0,r.LX)(t,{path:n.path,exact:!1,strict:!1})})),o=a?{pluginId:a[0],pluginData:a[1]}:void 0;if(!o&&n.failfast)throw new Error(`Can't find active docs plugin for "${t}" pathname, while it was expected to be found. Maybe you tried to use a docs feature that can only be used on a docs-related page? Existing docs plugin paths are: ${Object.values(e).map((e=>e.path)).join(", ")}`);return o}(t,n,e)}function m(e){void 0===e&&(e={});const t=p(e),{pathname:n}=(0,r.TH)();if(!t)return;return{activePlugin:t,activeVersion:s(t.pluginData,n)}}function g(e){return f(e).versions}function h(e){const t=f(e);return l(t)}function b(e){const t=f(e),{pathname:n}=(0,r.TH)();return c(t,n)}function v(e){const t=f(e),{pathname:n}=(0,r.TH)();return function(e,t){const n=l(e);return{latestDocSuggestion:c(e,t).alternateDocVersions[n.name],latestVersionSuggestion:n}}(t,n)}},8320:(e,t,n)=>{"use strict";n.r(t),n.d(t,{default:()=>o});var r=n(4865),a=n.n(r);a().configure({showSpinner:!1});const o={onRouteUpdate(e){let{location:t,previousLocation:n}=e;if(n&&t.pathname!==n.pathname){const e=window.setTimeout((()=>{a().start()}),200);return()=>window.clearTimeout(e)}},onRouteDidUpdate(){a().done()}}},3310:(e,t,n)=>{"use strict";n.r(t);var r=n(7410),a=n(6809);!function(e){const{themeConfig:{prism:t}}=a.default,{additionalLanguages:r}=t;globalThis.Prism=e,r.forEach((e=>{n(9462)(`./prism-${e}`)})),delete globalThis.Prism}(r.Z)},9471:(e,t,n)=>{"use strict";n.d(t,{Z:()=>o});var r=n(7294);const a={iconExternalLink:"iconExternalLink_nPIU"};function o(e){let{width:t=13.5,height:n=13.5}=e;return r.createElement("svg",{width:t,height:n,"aria-hidden":"true",viewBox:"0 0 24 24",className:a.iconExternalLink},r.createElement("path",{fill:"currentColor",d:"M21 13v10h-21v-19h12v2h-10v15h17v-8h2zm3-12h-10.988l4.035 4-6.977 7.07 2.828 2.828 6.977-7.07 4.125 4.172v-11z"}))}},7452:(e,t,n)=>{"use strict";n.d(t,{Z:()=>Pt});var r=n(7294),a=n(6010),o=n(4763),i=n(833),l=n(7462),s=n(6550),c=n(5999),u=n(5936);const d="__docusaurus_skipToContent_fallback";function f(e){e.setAttribute("tabindex","-1"),e.focus(),e.removeAttribute("tabindex")}function p(){const e=(0,r.useRef)(null),{action:t}=(0,s.k6)(),n=(0,r.useCallback)((e=>{e.preventDefault();const t=document.querySelector("main:first-of-type")??document.getElementById(d);t&&f(t)}),[]);return(0,u.S)((n=>{let{location:r}=n;e.current&&!r.hash&&"PUSH"===t&&f(e.current)})),{containerRef:e,onClick:n}}const m=(0,c.I)({id:"theme.common.skipToMainContent",description:"The skip to content label used for accessibility, allowing to rapidly navigate to main content with keyboard tab/enter navigation",message:"Skip to main content"});function g(e){const t=e.children??m,{containerRef:n,onClick:a}=p();return r.createElement("div",{ref:n,role:"region","aria-label":m},r.createElement("a",(0,l.Z)({},e,{href:`#${d}`,onClick:a}),t))}var h=n(5281),b=n(9727);const v={skipToContent:"skipToContent_fXgn"};function y(){return r.createElement(g,{className:v.skipToContent})}var w=n(6668),k=n(9689);function E(e){let{width:t=21,height:n=21,color:a="currentColor",strokeWidth:o=1.2,className:i,...s}=e;return r.createElement("svg",(0,l.Z)({viewBox:"0 0 15 15",width:t,height:n},s),r.createElement("g",{stroke:a,strokeWidth:o},r.createElement("path",{d:"M.75.75l13.5 13.5M14.25.75L.75 14.25"})))}const S={closeButton:"closeButton_CVFx"};function _(e){return r.createElement("button",(0,l.Z)({type:"button","aria-label":(0,c.I)({id:"theme.AnnouncementBar.closeButtonAriaLabel",message:"Close",description:"The ARIA label for close button of announcement bar"})},e,{className:(0,a.Z)("clean-btn close",S.closeButton,e.className)}),r.createElement(E,{width:14,height:14,strokeWidth:3.1}))}const x={content:"content_knG7"};function T(e){const{announcementBar:t}=(0,w.L)(),{content:n}=t;return r.createElement("div",(0,l.Z)({},e,{className:(0,a.Z)(x.content,e.className),dangerouslySetInnerHTML:{__html:n}}))}const C={announcementBar:"announcementBar_mb4j",announcementBarPlaceholder:"announcementBarPlaceholder_vyr4",announcementBarClose:"announcementBarClose_gvF7",announcementBarContent:"announcementBarContent_xLdY"};function A(){const{announcementBar:e}=(0,w.L)(),{isActive:t,close:n}=(0,k.nT)();if(!t)return null;const{backgroundColor:a,textColor:o,isCloseable:i}=e;return r.createElement("div",{className:C.announcementBar,style:{backgroundColor:a,color:o},role:"banner"},i&&r.createElement("div",{className:C.announcementBarPlaceholder}),r.createElement(T,{className:C.announcementBarContent}),i&&r.createElement(_,{onClick:n,className:C.announcementBarClose}))}var L=n(3163),P=n(2466);var N=n(902),I=n(3102);const O=r.createContext(null);function R(e){let{children:t}=e;const n=function(){const e=(0,L.e)(),t=(0,I.HY)(),[n,a]=(0,r.useState)(!1),o=null!==t.component,i=(0,N.D9)(o);return(0,r.useEffect)((()=>{o&&!i&&a(!0)}),[o,i]),(0,r.useEffect)((()=>{o?e.shown||a(!0):a(!1)}),[e.shown,o]),(0,r.useMemo)((()=>[n,a]),[n])}();return r.createElement(O.Provider,{value:n},t)}function M(e){if(e.component){const t=e.component;return r.createElement(t,e.props)}}function D(){const e=(0,r.useContext)(O);if(!e)throw new N.i6("NavbarSecondaryMenuDisplayProvider");const[t,n]=e,a=(0,r.useCallback)((()=>n(!1)),[n]),o=(0,I.HY)();return(0,r.useMemo)((()=>({shown:t,hide:a,content:M(o)})),[a,o,t])}function B(e){let{header:t,primaryMenu:n,secondaryMenu:o}=e;const{shown:i}=D();return r.createElement("div",{className:"navbar-sidebar"},t,r.createElement("div",{className:(0,a.Z)("navbar-sidebar__items",{"navbar-sidebar__items--show-secondary":i})},r.createElement("div",{className:"navbar-sidebar__item menu"},n),r.createElement("div",{className:"navbar-sidebar__item menu"},o)))}var F=n(2949),$=n(2389);function j(e){return r.createElement("svg",(0,l.Z)({viewBox:"0 0 24 24",width:24,height:24},e),r.createElement("path",{fill:"currentColor",d:"M12,9c1.65,0,3,1.35,3,3s-1.35,3-3,3s-3-1.35-3-3S10.35,9,12,9 M12,7c-2.76,0-5,2.24-5,5s2.24,5,5,5s5-2.24,5-5 S14.76,7,12,7L12,7z M2,13l2,0c0.55,0,1-0.45,1-1s-0.45-1-1-1l-2,0c-0.55,0-1,0.45-1,1S1.45,13,2,13z M20,13l2,0c0.55,0,1-0.45,1-1 s-0.45-1-1-1l-2,0c-0.55,0-1,0.45-1,1S19.45,13,20,13z M11,2v2c0,0.55,0.45,1,1,1s1-0.45,1-1V2c0-0.55-0.45-1-1-1S11,1.45,11,2z M11,20v2c0,0.55,0.45,1,1,1s1-0.45,1-1v-2c0-0.55-0.45-1-1-1C11.45,19,11,19.45,11,20z M5.99,4.58c-0.39-0.39-1.03-0.39-1.41,0 c-0.39,0.39-0.39,1.03,0,1.41l1.06,1.06c0.39,0.39,1.03,0.39,1.41,0s0.39-1.03,0-1.41L5.99,4.58z M18.36,16.95 c-0.39-0.39-1.03-0.39-1.41,0c-0.39,0.39-0.39,1.03,0,1.41l1.06,1.06c0.39,0.39,1.03,0.39,1.41,0c0.39-0.39,0.39-1.03,0-1.41 L18.36,16.95z M19.42,5.99c0.39-0.39,0.39-1.03,0-1.41c-0.39-0.39-1.03-0.39-1.41,0l-1.06,1.06c-0.39,0.39-0.39,1.03,0,1.41 s1.03,0.39,1.41,0L19.42,5.99z M7.05,18.36c0.39-0.39,0.39-1.03,0-1.41c-0.39-0.39-1.03-0.39-1.41,0l-1.06,1.06 c-0.39,0.39-0.39,1.03,0,1.41s1.03,0.39,1.41,0L7.05,18.36z"}))}function z(e){return r.createElement("svg",(0,l.Z)({viewBox:"0 0 24 24",width:24,height:24},e),r.createElement("path",{fill:"currentColor",d:"M9.37,5.51C9.19,6.15,9.1,6.82,9.1,7.5c0,4.08,3.32,7.4,7.4,7.4c0.68,0,1.35-0.09,1.99-0.27C17.45,17.19,14.93,19,12,19 c-3.86,0-7-3.14-7-7C5,9.07,6.81,6.55,9.37,5.51z M12,3c-4.97,0-9,4.03-9,9s4.03,9,9,9s9-4.03,9-9c0-0.46-0.04-0.92-0.1-1.36 c-0.98,1.37-2.58,2.26-4.4,2.26c-2.98,0-5.4-2.42-5.4-5.4c0-1.81,0.89-3.42,2.26-4.4C12.92,3.04,12.46,3,12,3L12,3z"}))}const U={toggle:"toggle_vylO",toggleButton:"toggleButton_gllP",darkToggleIcon:"darkToggleIcon_wfgR",lightToggleIcon:"lightToggleIcon_pyhR",toggleButtonDisabled:"toggleButtonDisabled_aARS"};function Z(e){let{className:t,buttonClassName:n,value:o,onChange:i}=e;const l=(0,$.Z)(),s=(0,c.I)({message:"Switch between dark and light mode (currently {mode})",id:"theme.colorToggle.ariaLabel",description:"The ARIA label for the navbar color mode toggle"},{mode:"dark"===o?(0,c.I)({message:"dark mode",id:"theme.colorToggle.ariaLabel.mode.dark",description:"The name for the dark color mode"}):(0,c.I)({message:"light mode",id:"theme.colorToggle.ariaLabel.mode.light",description:"The name for the light color mode"})});return r.createElement("div",{className:(0,a.Z)(U.toggle,t)},r.createElement("button",{className:(0,a.Z)("clean-btn",U.toggleButton,!l&&U.toggleButtonDisabled,n),type:"button",onClick:()=>i("dark"===o?"light":"dark"),disabled:!l,title:s,"aria-label":s,"aria-live":"polite"},r.createElement(j,{className:(0,a.Z)(U.toggleIcon,U.lightToggleIcon)}),r.createElement(z,{className:(0,a.Z)(U.toggleIcon,U.darkToggleIcon)})))}const H=r.memo(Z),G={darkNavbarColorModeToggle:"darkNavbarColorModeToggle_X3D1"};function V(e){let{className:t}=e;const n=(0,w.L)().navbar.style,a=(0,w.L)().colorMode.disableSwitch,{colorMode:o,setColorMode:i}=(0,F.I)();return a?null:r.createElement(H,{className:t,buttonClassName:"dark"===n?G.darkNavbarColorModeToggle:void 0,value:o,onChange:i})}var W=n(1327);function q(){return r.createElement(W.Z,{className:"navbar__brand",imageClassName:"navbar__logo",titleClassName:"navbar__title text--truncate"})}function Y(){const e=(0,L.e)();return r.createElement("button",{type:"button","aria-label":(0,c.I)({id:"theme.docs.sidebar.closeSidebarButtonAriaLabel",message:"Close navigation bar",description:"The ARIA label for close button of mobile sidebar"}),className:"clean-btn navbar-sidebar__close",onClick:()=>e.toggle()},r.createElement(E,{color:"var(--ifm-color-emphasis-600)"}))}function K(){return r.createElement("div",{className:"navbar-sidebar__brand"},r.createElement(q,null),r.createElement(V,{className:"margin-right--md"}),r.createElement(Y,null))}var X=n(9960),Q=n(4996),J=n(3919),ee=n(8022),te=n(9471);function ne(e){let{activeBasePath:t,activeBaseRegex:n,to:a,href:o,label:i,html:s,isDropdownLink:c,prependBaseUrlToHref:u,...d}=e;const f=(0,Q.Z)(a),p=(0,Q.Z)(t),m=(0,Q.Z)(o,{forcePrependBaseUrl:!0}),g=i&&o&&!(0,J.Z)(o),h=s?{dangerouslySetInnerHTML:{__html:s}}:{children:r.createElement(r.Fragment,null,i,g&&r.createElement(te.Z,c&&{width:12,height:12}))};return o?r.createElement(X.Z,(0,l.Z)({href:u?m:o},d,h)):r.createElement(X.Z,(0,l.Z)({to:f,isNavLink:!0},(t||n)&&{isActive:(e,t)=>n?(0,ee.F)(n,t.pathname):t.pathname.startsWith(p)},d,h))}function re(e){let{className:t,isDropdownItem:n=!1,...o}=e;const i=r.createElement(ne,(0,l.Z)({className:(0,a.Z)(n?"dropdown__link":"navbar__item navbar__link",t),isDropdownLink:n},o));return n?r.createElement("li",null,i):i}function ae(e){let{className:t,isDropdownItem:n,...o}=e;return r.createElement("li",{className:"menu__list-item"},r.createElement(ne,(0,l.Z)({className:(0,a.Z)("menu__link",t)},o)))}function oe(e){let{mobile:t=!1,position:n,...a}=e;const o=t?ae:re;return r.createElement(o,(0,l.Z)({},a,{activeClassName:a.activeClassName??(t?"menu__link--active":"navbar__link--active")}))}var ie=n(6043),le=n(8596),se=n(2263);function ce(e,t){return e.some((e=>function(e,t){return!!(0,le.Mg)(e.to,t)||!!(0,ee.F)(e.activeBaseRegex,t)||!(!e.activeBasePath||!t.startsWith(e.activeBasePath))}(e,t)))}function ue(e){let{items:t,position:n,className:o,onClick:i,...s}=e;const c=(0,r.useRef)(null),[u,d]=(0,r.useState)(!1);return(0,r.useEffect)((()=>{const e=e=>{c.current&&!c.current.contains(e.target)&&d(!1)};return document.addEventListener("mousedown",e),document.addEventListener("touchstart",e),document.addEventListener("focusin",e),()=>{document.removeEventListener("mousedown",e),document.removeEventListener("touchstart",e),document.removeEventListener("focusin",e)}}),[c]),r.createElement("div",{ref:c,className:(0,a.Z)("navbar__item","dropdown","dropdown--hoverable",{"dropdown--right":"right"===n,"dropdown--show":u})},r.createElement(ne,(0,l.Z)({"aria-haspopup":"true","aria-expanded":u,role:"button",href:s.to?void 0:"#",className:(0,a.Z)("navbar__link",o)},s,{onClick:s.to?void 0:e=>e.preventDefault(),onKeyDown:e=>{"Enter"===e.key&&(e.preventDefault(),d(!u))}}),s.children??s.label),r.createElement("ul",{className:"dropdown__menu"},t.map(((e,t)=>r.createElement(Ze,(0,l.Z)({isDropdownItem:!0,activeClassName:"dropdown__link--active"},e,{key:t}))))))}function de(e){let{items:t,className:n,position:o,onClick:i,...c}=e;const u=function(){const{siteConfig:{baseUrl:e}}=(0,se.Z)(),{pathname:t}=(0,s.TH)();return t.replace(e,"/")}(),d=ce(t,u),{collapsed:f,toggleCollapsed:p,setCollapsed:m}=(0,ie.u)({initialState:()=>!d});return(0,r.useEffect)((()=>{d&&m(!d)}),[u,d,m]),r.createElement("li",{className:(0,a.Z)("menu__list-item",{"menu__list-item--collapsed":f})},r.createElement(ne,(0,l.Z)({role:"button",className:(0,a.Z)("menu__link menu__link--sublist menu__link--sublist-caret",n)},c,{onClick:e=>{e.preventDefault(),p()}}),c.children??c.label),r.createElement(ie.z,{lazy:!0,as:"ul",className:"menu__list",collapsed:f},t.map(((e,t)=>r.createElement(Ze,(0,l.Z)({mobile:!0,isDropdownItem:!0,onClick:i,activeClassName:"menu__link--active"},e,{key:t}))))))}function fe(e){let{mobile:t=!1,...n}=e;const a=t?de:ue;return r.createElement(a,n)}var pe=n(4711);function me(e){let{width:t=20,height:n=20,...a}=e;return r.createElement("svg",(0,l.Z)({viewBox:"0 0 24 24",width:t,height:n,"aria-hidden":!0},a),r.createElement("path",{fill:"currentColor",d:"M12.87 15.07l-2.54-2.51.03-.03c1.74-1.94 2.98-4.17 3.71-6.53H17V4h-7V2H8v2H1v1.99h11.17C11.5 7.92 10.44 9.75 9 11.35 8.07 10.32 7.3 9.19 6.69 8h-2c.73 1.63 1.73 3.17 2.98 4.56l-5.09 5.02L4 19l5-5 3.11 3.11.76-2.04zM18.5 10h-2L12 22h2l1.12-3h4.75L21 22h2l-4.5-12zm-2.62 7l1.62-4.33L19.12 17h-3.24z"}))}const ge="iconLanguage_nlXk";function he(){return r.createElement("svg",{width:"15",height:"15",className:"DocSearch-Control-Key-Icon"},r.createElement("path",{d:"M4.505 4.496h2M5.505 5.496v5M8.216 4.496l.055 5.993M10 7.5c.333.333.5.667.5 1v2M12.326 4.5v5.996M8.384 4.496c1.674 0 2.116 0 2.116 1.5s-.442 1.5-2.116 1.5M3.205 9.303c-.09.448-.277 1.21-1.241 1.203C1 10.5.5 9.513.5 8V7c0-1.57.5-2.5 1.464-2.494.964.006 1.134.598 1.24 1.342M12.553 10.5h1.953",strokeWidth:"1.2",stroke:"currentColor",fill:"none",strokeLinecap:"square"}))}var be=n(830),ve=["translations"];function ye(){return ye=Object.assign||function(e){for(var t=1;te.length)&&(t=e.length);for(var n=0,r=new Array(t);n=0||(a[n]=e[n]);return a}(e,t);if(Object.getOwnPropertySymbols){var o=Object.getOwnPropertySymbols(e);for(r=0;r=0||Object.prototype.propertyIsEnumerable.call(e,n)&&(a[n]=e[n])}return a}var Se="Ctrl";var _e=r.forwardRef((function(e,t){var n=e.translations,a=void 0===n?{}:n,o=Ee(e,ve),i=a.buttonText,l=void 0===i?"Search":i,s=a.buttonAriaLabel,c=void 0===s?"Search":s,u=we((0,r.useState)(null),2),d=u[0],f=u[1];return(0,r.useEffect)((function(){"undefined"!=typeof navigator&&(/(Mac|iPhone|iPod|iPad)/i.test(navigator.platform)?f("\u2318"):f(Se))}),[]),r.createElement("button",ye({type:"button",className:"DocSearch DocSearch-Button","aria-label":c},o,{ref:t}),r.createElement("span",{className:"DocSearch-Button-Container"},r.createElement(be.W,null),r.createElement("span",{className:"DocSearch-Button-Placeholder"},l)),r.createElement("span",{className:"DocSearch-Button-Keys"},null!==d&&r.createElement(r.Fragment,null,r.createElement("kbd",{className:"DocSearch-Button-Key"},d===Se?r.createElement(he,null):d),r.createElement("kbd",{className:"DocSearch-Button-Key"},"K"))))})),xe=n(5742),Te=n(6177),Ce=n(239),Ae=n(3320);var Le=n(3935);const Pe={button:{buttonText:(0,c.I)({id:"theme.SearchBar.label",message:"Search",description:"The ARIA label and placeholder for search button"}),buttonAriaLabel:(0,c.I)({id:"theme.SearchBar.label",message:"Search",description:"The ARIA label and placeholder for search button"})},modal:{searchBox:{resetButtonTitle:(0,c.I)({id:"theme.SearchModal.searchBox.resetButtonTitle",message:"Clear the query",description:"The label and ARIA label for search box reset button"}),resetButtonAriaLabel:(0,c.I)({id:"theme.SearchModal.searchBox.resetButtonTitle",message:"Clear the query",description:"The label and ARIA label for search box reset button"}),cancelButtonText:(0,c.I)({id:"theme.SearchModal.searchBox.cancelButtonText",message:"Cancel",description:"The label and ARIA label for search box cancel button"}),cancelButtonAriaLabel:(0,c.I)({id:"theme.SearchModal.searchBox.cancelButtonText",message:"Cancel",description:"The label and ARIA label for search box cancel button"})},startScreen:{recentSearchesTitle:(0,c.I)({id:"theme.SearchModal.startScreen.recentSearchesTitle",message:"Recent",description:"The title for recent searches"}),noRecentSearchesText:(0,c.I)({id:"theme.SearchModal.startScreen.noRecentSearchesText",message:"No recent searches",description:"The text when no recent searches"}),saveRecentSearchButtonTitle:(0,c.I)({id:"theme.SearchModal.startScreen.saveRecentSearchButtonTitle",message:"Save this search",description:"The label for save recent search button"}),removeRecentSearchButtonTitle:(0,c.I)({id:"theme.SearchModal.startScreen.removeRecentSearchButtonTitle",message:"Remove this search from history",description:"The label for remove recent search button"}),favoriteSearchesTitle:(0,c.I)({id:"theme.SearchModal.startScreen.favoriteSearchesTitle",message:"Favorite",description:"The title for favorite searches"}),removeFavoriteSearchButtonTitle:(0,c.I)({id:"theme.SearchModal.startScreen.removeFavoriteSearchButtonTitle",message:"Remove this search from favorites",description:"The label for remove favorite search button"})},errorScreen:{titleText:(0,c.I)({id:"theme.SearchModal.errorScreen.titleText",message:"Unable to fetch results",description:"The title for error screen of search modal"}),helpText:(0,c.I)({id:"theme.SearchModal.errorScreen.helpText",message:"You might want to check your network connection.",description:"The help text for error screen of search modal"})},footer:{selectText:(0,c.I)({id:"theme.SearchModal.footer.selectText",message:"to select",description:"The explanatory text of the action for the enter key"}),selectKeyAriaLabel:(0,c.I)({id:"theme.SearchModal.footer.selectKeyAriaLabel",message:"Enter key",description:"The ARIA label for the Enter key button that makes the selection"}),navigateText:(0,c.I)({id:"theme.SearchModal.footer.navigateText",message:"to navigate",description:"The explanatory text of the action for the Arrow up and Arrow down key"}),navigateUpKeyAriaLabel:(0,c.I)({id:"theme.SearchModal.footer.navigateUpKeyAriaLabel",message:"Arrow up",description:"The ARIA label for the Arrow up key button that makes the navigation"}),navigateDownKeyAriaLabel:(0,c.I)({id:"theme.SearchModal.footer.navigateDownKeyAriaLabel",message:"Arrow down",description:"The ARIA label for the Arrow down key button that makes the navigation"}),closeText:(0,c.I)({id:"theme.SearchModal.footer.closeText",message:"to close",description:"The explanatory text of the action for Escape key"}),closeKeyAriaLabel:(0,c.I)({id:"theme.SearchModal.footer.closeKeyAriaLabel",message:"Escape key",description:"The ARIA label for the Escape key button that close the modal"}),searchByText:(0,c.I)({id:"theme.SearchModal.footer.searchByText",message:"Search by",description:"The text explain that the search is making by Algolia"})},noResultsScreen:{noResultsText:(0,c.I)({id:"theme.SearchModal.noResultsScreen.noResultsText",message:"No results for",description:"The text explains that there are no results for the following search"}),suggestedQueryText:(0,c.I)({id:"theme.SearchModal.noResultsScreen.suggestedQueryText",message:"Try searching for",description:"The text for the suggested query when no results are found for the following search"}),reportMissingResultsText:(0,c.I)({id:"theme.SearchModal.noResultsScreen.reportMissingResultsText",message:"Believe this query should return results?",description:"The text for the question where the user thinks there are missing results"}),reportMissingResultsLinkText:(0,c.I)({id:"theme.SearchModal.noResultsScreen.reportMissingResultsLinkText",message:"Let us know.",description:"The text for the link to report missing results"})}},placeholder:(0,c.I)({id:"theme.SearchModal.placeholder",message:"Search docs",description:"The placeholder of the input of the DocSearch pop-up modal"})};let Ne=null;function Ie(e){let{hit:t,children:n}=e;return r.createElement(X.Z,{to:t.url},n)}function Oe(e){let{state:t,onClose:n}=e;const a=(0,Te.M)();return r.createElement(X.Z,{to:a(t.query),onClick:n},r.createElement(c.Z,{id:"theme.SearchBar.seeAll",values:{count:t.context.nbHits}},"See all {count} results"))}function Re(e){let{contextualSearch:t,externalUrlRegex:a,...o}=e;const{siteMetadata:i}=(0,se.Z)(),c=(0,Ce.l)(),u=function(){const{locale:e,tags:t}=(0,Ae._q)();return[`language:${e}`,t.map((e=>`docusaurus_tag:${e}`))]}(),d=o.searchParameters?.facetFilters??[],f=t?function(e,t){const n=e=>"string"==typeof e?[e]:e;return[...n(e),...n(t)]}(u,d):d,p={...o.searchParameters,facetFilters:f},m=(0,s.k6)(),g=(0,r.useRef)(null),h=(0,r.useRef)(null),[b,v]=(0,r.useState)(!1),[y,w]=(0,r.useState)(void 0),k=(0,r.useCallback)((()=>Ne?Promise.resolve():Promise.all([n.e(1426).then(n.bind(n,1426)),Promise.all([n.e(532),n.e(6945)]).then(n.bind(n,6945)),Promise.all([n.e(532),n.e(8894)]).then(n.bind(n,8894))]).then((e=>{let[{DocSearchModal:t}]=e;Ne=t}))),[]),E=(0,r.useCallback)((()=>{k().then((()=>{g.current=document.createElement("div"),document.body.insertBefore(g.current,document.body.firstChild),v(!0)}))}),[k,v]),S=(0,r.useCallback)((()=>{v(!1),g.current?.remove()}),[v]),_=(0,r.useCallback)((e=>{k().then((()=>{v(!0),w(e.key)}))}),[k,v,w]),x=(0,r.useRef)({navigate(e){let{itemUrl:t}=e;(0,ee.F)(a,t)?window.location.href=t:m.push(t)}}).current,T=(0,r.useRef)((e=>o.transformItems?o.transformItems(e):e.map((e=>({...e,url:c(e.url)}))))).current,C=(0,r.useMemo)((()=>e=>r.createElement(Oe,(0,l.Z)({},e,{onClose:S}))),[S]),A=(0,r.useCallback)((e=>(e.addAlgoliaAgent("docusaurus",i.docusaurusVersion),e)),[i.docusaurusVersion]);return function(e){var t=e.isOpen,n=e.onOpen,a=e.onClose,o=e.onInput,i=e.searchButtonRef;r.useEffect((function(){function e(e){var r;(27===e.keyCode&&t||"k"===(null===(r=e.key)||void 0===r?void 0:r.toLowerCase())&&(e.metaKey||e.ctrlKey)||!function(e){var t=e.target,n=t.tagName;return t.isContentEditable||"INPUT"===n||"SELECT"===n||"TEXTAREA"===n}(e)&&"/"===e.key&&!t)&&(e.preventDefault(),t?a():document.body.classList.contains("DocSearch--active")||document.body.classList.contains("DocSearch--active")||n()),i&&i.current===document.activeElement&&o&&/[a-zA-Z0-9]/.test(String.fromCharCode(e.keyCode))&&o(e)}return window.addEventListener("keydown",e),function(){window.removeEventListener("keydown",e)}}),[t,n,a,o,i])}({isOpen:b,onOpen:E,onClose:S,onInput:_,searchButtonRef:h}),r.createElement(r.Fragment,null,r.createElement(xe.Z,null,r.createElement("link",{rel:"preconnect",href:`https://${o.appId}-dsn.algolia.net`,crossOrigin:"anonymous"})),r.createElement(_e,{onTouchStart:k,onFocus:k,onMouseOver:k,onClick:E,ref:h,translations:Pe.button}),b&&Ne&&g.current&&(0,Le.createPortal)(r.createElement(Ne,(0,l.Z)({onClose:S,initialScrollY:window.scrollY,initialQuery:y,navigator:x,transformItems:T,hitComponent:Ie,transformSearchClient:A},o.searchPagePath&&{resultsFooterComponent:C},o,{searchParameters:p,placeholder:Pe.placeholder,translations:Pe.modal})),g.current))}function Me(){const{siteConfig:e}=(0,se.Z)();return r.createElement(Re,e.themeConfig.algolia)}const De={searchBox:"searchBox_ZlJk"};function Be(e){let{children:t,className:n}=e;return r.createElement("div",{className:(0,a.Z)(n,De.searchBox)},t)}var Fe=n(143),$e=n(3438);var je=n(373);const ze=e=>e.docs.find((t=>t.id===e.mainDocId));const Ue={default:oe,localeDropdown:function(e){let{mobile:t,dropdownItemsBefore:n,dropdownItemsAfter:a,...o}=e;const{i18n:{currentLocale:i,locales:u,localeConfigs:d}}=(0,se.Z)(),f=(0,pe.l)(),{search:p,hash:m}=(0,s.TH)(),g=[...n,...u.map((e=>{const n=`${`pathname://${f.createUrl({locale:e,fullyQualified:!1})}`}${p}${m}`;return{label:d[e].label,lang:d[e].htmlLang,to:n,target:"_self",autoAddBaseUrl:!1,className:e===i?t?"menu__link--active":"dropdown__link--active":""}})),...a],h=t?(0,c.I)({message:"Languages",id:"theme.navbar.mobileLanguageDropdown.label",description:"The label for the mobile language switcher dropdown"}):d[i].label;return r.createElement(fe,(0,l.Z)({},o,{mobile:t,label:r.createElement(r.Fragment,null,r.createElement(me,{className:ge}),h),items:g}))},search:function(e){let{mobile:t,className:n}=e;return t?null:r.createElement(Be,{className:n},r.createElement(Me,null))},dropdown:fe,html:function(e){let{value:t,className:n,mobile:o=!1,isDropdownItem:i=!1}=e;const l=i?"li":"div";return r.createElement(l,{className:(0,a.Z)({navbar__item:!o&&!i,"menu__list-item":o},n),dangerouslySetInnerHTML:{__html:t}})},doc:function(e){let{docId:t,label:n,docsPluginId:a,...o}=e;const{activeDoc:i}=(0,Fe.Iw)(a),s=(0,$e.vY)(t,a);return null===s?null:r.createElement(oe,(0,l.Z)({exact:!0},o,{isActive:()=>i?.path===s.path||!!i?.sidebar&&i.sidebar===s.sidebar,label:n??s.id,to:s.path}))},docSidebar:function(e){let{sidebarId:t,label:n,docsPluginId:a,...o}=e;const{activeDoc:i}=(0,Fe.Iw)(a),s=(0,$e.oz)(t,a).link;if(!s)throw new Error(`DocSidebarNavbarItem: Sidebar with ID "${t}" doesn't have anything to be linked to.`);return r.createElement(oe,(0,l.Z)({exact:!0},o,{isActive:()=>i?.sidebar===t,label:n??s.label,to:s.path}))},docsVersion:function(e){let{label:t,to:n,docsPluginId:a,...o}=e;const i=(0,$e.lO)(a)[0],s=t??i.label,c=n??(e=>e.docs.find((t=>t.id===e.mainDocId)))(i).path;return r.createElement(oe,(0,l.Z)({},o,{label:s,to:c}))},docsVersionDropdown:function(e){let{mobile:t,docsPluginId:n,dropdownActiveClassDisabled:a,dropdownItemsBefore:o,dropdownItemsAfter:i,...u}=e;const{search:d,hash:f}=(0,s.TH)(),p=(0,Fe.Iw)(n),m=(0,Fe.gB)(n),{savePreferredVersionName:g}=(0,je.J)(n),h=[...o,...m.map((e=>{const t=p.alternateDocVersions[e.name]??ze(e);return{label:e.label,to:`${t.path}${d}${f}`,isActive:()=>e===p.activeVersion,onClick:()=>g(e.name)}})),...i],b=(0,$e.lO)(n)[0],v=t&&h.length>1?(0,c.I)({id:"theme.navbar.mobileVersionsDropdown.label",message:"Versions",description:"The label for the navbar versions dropdown on mobile view"}):b.label,y=t&&h.length>1?void 0:ze(b).path;return h.length<=1?r.createElement(oe,(0,l.Z)({},u,{mobile:t,label:v,to:y,isActive:a?()=>!1:void 0})):r.createElement(fe,(0,l.Z)({},u,{mobile:t,label:v,to:y,items:h,isActive:a?()=>!1:void 0}))}};function Ze(e){let{type:t,...n}=e;const a=function(e,t){return e&&"default"!==e?e:"items"in t?"dropdown":"default"}(t,n),o=Ue[a];if(!o)throw new Error(`No NavbarItem component found for type "${t}".`);return r.createElement(o,n)}function He(){const e=(0,L.e)(),t=(0,w.L)().navbar.items;return r.createElement("ul",{className:"menu__list"},t.map(((t,n)=>r.createElement(Ze,(0,l.Z)({mobile:!0},t,{onClick:()=>e.toggle(),key:n})))))}function Ge(e){return r.createElement("button",(0,l.Z)({},e,{type:"button",className:"clean-btn navbar-sidebar__back"}),r.createElement(c.Z,{id:"theme.navbar.mobileSidebarSecondaryMenu.backButtonLabel",description:"The label of the back button to return to main menu, inside the mobile navbar sidebar secondary menu (notably used to display the docs sidebar)"},"\u2190 Back to main menu"))}function Ve(){const e=0===(0,w.L)().navbar.items.length,t=D();return r.createElement(r.Fragment,null,!e&&r.createElement(Ge,{onClick:()=>t.hide()}),t.content)}function We(){const e=(0,L.e)();var t;return void 0===(t=e.shown)&&(t=!0),(0,r.useEffect)((()=>(document.body.style.overflow=t?"hidden":"visible",()=>{document.body.style.overflow="visible"})),[t]),e.shouldRender?r.createElement(B,{header:r.createElement(K,null),primaryMenu:r.createElement(He,null),secondaryMenu:r.createElement(Ve,null)}):null}const qe={navbarHideable:"navbarHideable_m1mJ",navbarHidden:"navbarHidden_jGov"};function Ye(e){return r.createElement("div",(0,l.Z)({role:"presentation"},e,{className:(0,a.Z)("navbar-sidebar__backdrop",e.className)}))}function Ke(e){let{children:t}=e;const{navbar:{hideOnScroll:n,style:o}}=(0,w.L)(),i=(0,L.e)(),{navbarRef:l,isNavbarVisible:s}=function(e){const[t,n]=(0,r.useState)(e),a=(0,r.useRef)(!1),o=(0,r.useRef)(0),i=(0,r.useCallback)((e=>{null!==e&&(o.current=e.getBoundingClientRect().height)}),[]);return(0,P.RF)(((t,r)=>{let{scrollY:i}=t;if(!e)return;if(i=l?n(!1):i+c{if(!e)return;const r=t.location.hash;if(r?document.getElementById(r.substring(1)):void 0)return a.current=!0,void n(!1);n(!0)})),{navbarRef:i,isNavbarVisible:t}}(n);return r.createElement("nav",{ref:l,"aria-label":(0,c.I)({id:"theme.NavBar.navAriaLabel",message:"Main",description:"The ARIA label for the main navigation"}),className:(0,a.Z)("navbar","navbar--fixed-top",n&&[qe.navbarHideable,!s&&qe.navbarHidden],{"navbar--dark":"dark"===o,"navbar--primary":"primary"===o,"navbar-sidebar--show":i.shown})},t,r.createElement(Ye,{onClick:i.toggle}),r.createElement(We,null))}var Xe=n(8780);const Qe={errorBoundaryError:"errorBoundaryError_a6uf"};function Je(e){return r.createElement("button",(0,l.Z)({type:"button"},e),r.createElement(c.Z,{id:"theme.ErrorPageContent.tryAgain",description:"The label of the button to try again rendering when the React error boundary captures an error"},"Try again"))}function et(e){let{error:t}=e;const n=(0,Xe.getErrorCausalChain)(t).map((e=>e.message)).join("\n\nCause:\n");return r.createElement("p",{className:Qe.errorBoundaryError},n)}class tt extends r.Component{componentDidCatch(e,t){throw this.props.onError(e,t)}render(){return this.props.children}}const nt="right";function rt(e){let{width:t=30,height:n=30,className:a,...o}=e;return r.createElement("svg",(0,l.Z)({className:a,width:t,height:n,viewBox:"0 0 30 30","aria-hidden":"true"},o),r.createElement("path",{stroke:"currentColor",strokeLinecap:"round",strokeMiterlimit:"10",strokeWidth:"2",d:"M4 7h22M4 15h22M4 23h22"}))}function at(){const{toggle:e,shown:t}=(0,L.e)();return r.createElement("button",{onClick:e,"aria-label":(0,c.I)({id:"theme.docs.sidebar.toggleSidebarButtonAriaLabel",message:"Toggle navigation bar",description:"The ARIA label for hamburger menu button of mobile navigation"}),"aria-expanded":t,className:"navbar__toggle clean-btn",type:"button"},r.createElement(rt,null))}const ot={colorModeToggle:"colorModeToggle_DEke"};function it(e){let{items:t}=e;return r.createElement(r.Fragment,null,t.map(((e,t)=>r.createElement(tt,{key:t,onError:t=>new Error(`A theme navbar item failed to render.\nPlease double-check the following navbar item (themeConfig.navbar.items) of your Docusaurus config:\n${JSON.stringify(e,null,2)}`,{cause:t})},r.createElement(Ze,e)))))}function lt(e){let{left:t,right:n}=e;return r.createElement("div",{className:"navbar__inner"},r.createElement("div",{className:"navbar__items"},t),r.createElement("div",{className:"navbar__items navbar__items--right"},n))}function st(){const e=(0,L.e)(),t=(0,w.L)().navbar.items,[n,a]=function(e){function t(e){return"left"===(e.position??nt)}return[e.filter(t),e.filter((e=>!t(e)))]}(t),o=t.find((e=>"search"===e.type));return r.createElement(lt,{left:r.createElement(r.Fragment,null,!e.disabled&&r.createElement(at,null),r.createElement(q,null),r.createElement(it,{items:n})),right:r.createElement(r.Fragment,null,r.createElement(it,{items:a}),r.createElement(V,{className:ot.colorModeToggle}),!o&&r.createElement(Be,null,r.createElement(Me,null)))})}function ct(){return r.createElement(Ke,null,r.createElement(st,null))}function ut(e){let{item:t}=e;const{to:n,href:a,label:o,prependBaseUrlToHref:i,...s}=t,c=(0,Q.Z)(n),u=(0,Q.Z)(a,{forcePrependBaseUrl:!0});return r.createElement(X.Z,(0,l.Z)({className:"footer__link-item"},a?{href:i?u:a}:{to:c},s),o,a&&!(0,J.Z)(a)&&r.createElement(te.Z,null))}function dt(e){let{item:t}=e;return t.html?r.createElement("li",{className:"footer__item",dangerouslySetInnerHTML:{__html:t.html}}):r.createElement("li",{key:t.href??t.to,className:"footer__item"},r.createElement(ut,{item:t}))}function ft(e){let{column:t}=e;return r.createElement("div",{className:"col footer__col"},r.createElement("div",{className:"footer__title"},t.title),r.createElement("ul",{className:"footer__items clean-list"},t.items.map(((e,t)=>r.createElement(dt,{key:t,item:e})))))}function pt(e){let{columns:t}=e;return r.createElement("div",{className:"row footer__links"},t.map(((e,t)=>r.createElement(ft,{key:t,column:e}))))}function mt(){return r.createElement("span",{className:"footer__link-separator"},"\xb7")}function gt(e){let{item:t}=e;return t.html?r.createElement("span",{className:"footer__link-item",dangerouslySetInnerHTML:{__html:t.html}}):r.createElement(ut,{item:t})}function ht(e){let{links:t}=e;return r.createElement("div",{className:"footer__links text--center"},r.createElement("div",{className:"footer__links"},t.map(((e,n)=>r.createElement(r.Fragment,{key:n},r.createElement(gt,{item:e}),t.length!==n+1&&r.createElement(mt,null))))))}function bt(e){let{links:t}=e;return function(e){return"title"in e[0]}(t)?r.createElement(pt,{columns:t}):r.createElement(ht,{links:t})}var vt=n(941);const yt={footerLogoLink:"footerLogoLink_BH7S"};function wt(e){let{logo:t}=e;const{withBaseUrl:n}=(0,Q.C)(),o={light:n(t.src),dark:n(t.srcDark??t.src)};return r.createElement(vt.Z,{className:(0,a.Z)("footer__logo",t.className),alt:t.alt,sources:o,width:t.width,height:t.height,style:t.style})}function kt(e){let{logo:t}=e;return t.href?r.createElement(X.Z,{href:t.href,className:yt.footerLogoLink,target:t.target},r.createElement(wt,{logo:t})):r.createElement(wt,{logo:t})}function Et(e){let{copyright:t}=e;return r.createElement("div",{className:"footer__copyright",dangerouslySetInnerHTML:{__html:t}})}function St(e){let{style:t,links:n,logo:o,copyright:i}=e;return r.createElement("footer",{className:(0,a.Z)("footer",{"footer--dark":"dark"===t})},r.createElement("div",{className:"container container-fluid"},n,(o||i)&&r.createElement("div",{className:"footer__bottom text--center"},o&&r.createElement("div",{className:"margin-bottom--sm"},o),i)))}function _t(){const{footer:e}=(0,w.L)();if(!e)return null;const{copyright:t,links:n,logo:a,style:o}=e;return r.createElement(St,{style:o,links:n&&n.length>0&&r.createElement(bt,{links:n}),logo:a&&r.createElement(kt,{logo:a}),copyright:t&&r.createElement(Et,{copyright:t})})}const xt=r.memo(_t),Tt=(0,N.Qc)([F.S,k.pl,P.OC,je.L5,i.VC,function(e){let{children:t}=e;return r.createElement(I.n2,null,r.createElement(L.M,null,r.createElement(R,null,t)))}]);function Ct(e){let{children:t}=e;return r.createElement(Tt,null,t)}function At(e){let{error:t,tryAgain:n}=e;return r.createElement("main",{className:"container margin-vert--xl"},r.createElement("div",{className:"row"},r.createElement("div",{className:"col col--6 col--offset-3"},r.createElement("h1",{className:"hero__title"},r.createElement(c.Z,{id:"theme.ErrorPageContent.title",description:"The title of the fallback page when the page crashed"},"This page crashed.")),r.createElement("div",{className:"margin-vert--lg"},r.createElement(Je,{onClick:n,className:"button button--primary shadow--lw"})),r.createElement("hr",null),r.createElement("div",{className:"margin-vert--md"},r.createElement(et,{error:t})))))}const Lt={mainWrapper:"mainWrapper_z2l0"};function Pt(e){const{children:t,noFooter:n,wrapperClassName:l,title:s,description:c}=e;return(0,b.t)(),r.createElement(Ct,null,r.createElement(i.d,{title:s,description:c}),r.createElement(y,null),r.createElement(A,null),r.createElement(ct,null),r.createElement("div",{id:d,className:(0,a.Z)(h.k.wrapper.main,Lt.mainWrapper,l)},r.createElement(o.Z,{fallback:e=>r.createElement(At,e)},t)),!n&&r.createElement(xt,null))}},1327:(e,t,n)=>{"use strict";n.d(t,{Z:()=>d});var r=n(7462),a=n(7294),o=n(9960),i=n(4996),l=n(2263),s=n(6668),c=n(941);function u(e){let{logo:t,alt:n,imageClassName:r}=e;const o={light:(0,i.Z)(t.src),dark:(0,i.Z)(t.srcDark||t.src)},l=a.createElement(c.Z,{className:t.className,sources:o,height:t.height,width:t.width,alt:n,style:t.style});return r?a.createElement("div",{className:r},l):l}function d(e){const{siteConfig:{title:t}}=(0,l.Z)(),{navbar:{title:n,logo:c}}=(0,s.L)(),{imageClassName:d,titleClassName:f,...p}=e,m=(0,i.Z)(c?.href||"/"),g=n?"":t,h=c?.alt??g;return a.createElement(o.Z,(0,r.Z)({to:m},p,c?.target&&{target:c.target}),c&&a.createElement(u,{logo:c,alt:h,imageClassName:d}),null!=n&&a.createElement("b",{className:f},n))}},197:(e,t,n)=>{"use strict";n.d(t,{Z:()=>o});var r=n(7294),a=n(5742);function o(e){let{locale:t,version:n,tag:o}=e;const i=t;return r.createElement(a.Z,null,t&&r.createElement("meta",{name:"docusaurus_locale",content:t}),n&&r.createElement("meta",{name:"docusaurus_version",content:n}),o&&r.createElement("meta",{name:"docusaurus_tag",content:o}),i&&r.createElement("meta",{name:"docsearch:language",content:i}),n&&r.createElement("meta",{name:"docsearch:version",content:n}),o&&r.createElement("meta",{name:"docsearch:docusaurus_tag",content:o}))}},941:(e,t,n)=>{"use strict";n.d(t,{Z:()=>c});var r=n(7462),a=n(7294),o=n(6010),i=n(2389),l=n(2949);const s={themedImage:"themedImage_ToTc","themedImage--light":"themedImage--light_HNdA","themedImage--dark":"themedImage--dark_i4oU"};function c(e){const t=(0,i.Z)(),{colorMode:n}=(0,l.I)(),{sources:c,className:u,alt:d,...f}=e,p=t?"dark"===n?["dark"]:["light"]:["light","dark"];return a.createElement(a.Fragment,null,p.map((e=>a.createElement("img",(0,r.Z)({key:e,src:c[e],alt:d,className:(0,o.Z)(s.themedImage,s[`themedImage--${e}`],u)},f)))))}},6043:(e,t,n)=>{"use strict";n.d(t,{u:()=>s,z:()=>h});var r=n(7462),a=n(7294),o=n(412),i=n(1442);const l="ease-in-out";function s(e){let{initialState:t}=e;const[n,r]=(0,a.useState)(t??!1),o=(0,a.useCallback)((()=>{r((e=>!e))}),[]);return{collapsed:n,setCollapsed:r,toggleCollapsed:o}}const c={display:"none",overflow:"hidden",height:"0px"},u={display:"block",overflow:"visible",height:"auto"};function d(e,t){const n=t?c:u;e.style.display=n.display,e.style.overflow=n.overflow,e.style.height=n.height}function f(e){let{collapsibleRef:t,collapsed:n,animation:r}=e;const o=(0,a.useRef)(!1);(0,a.useEffect)((()=>{const e=t.current;function a(){const t=e.scrollHeight,n=r?.duration??function(e){if((0,i.n)())return 1;const t=e/36;return Math.round(10*(4+15*t**.25+t/5))}(t);return{transition:`height ${n}ms ${r?.easing??l}`,height:`${t}px`}}function s(){const t=a();e.style.transition=t.transition,e.style.height=t.height}if(!o.current)return d(e,n),void(o.current=!0);return e.style.willChange="height",function(){const t=requestAnimationFrame((()=>{n?(s(),requestAnimationFrame((()=>{e.style.height=c.height,e.style.overflow=c.overflow}))):(e.style.display="block",requestAnimationFrame((()=>{s()})))}));return()=>cancelAnimationFrame(t)}()}),[t,n,r])}function p(e){if(!o.Z.canUseDOM)return e?c:u}function m(e){let{as:t="div",collapsed:n,children:r,animation:o,onCollapseTransitionEnd:i,className:l,disableSSRStyle:s}=e;const c=(0,a.useRef)(null);return f({collapsibleRef:c,collapsed:n,animation:o}),a.createElement(t,{ref:c,style:s?void 0:p(n),onTransitionEnd:e=>{"height"===e.propertyName&&(d(c.current,n),i?.(n))},className:l},r)}function g(e){let{collapsed:t,...n}=e;const[o,i]=(0,a.useState)(!t),[l,s]=(0,a.useState)(t);return(0,a.useLayoutEffect)((()=>{t||i(!0)}),[t]),(0,a.useLayoutEffect)((()=>{o&&s(t)}),[o,t]),o?a.createElement(m,(0,r.Z)({},n,{collapsed:l})):null}function h(e){let{lazy:t,...n}=e;const r=t?g:m;return a.createElement(r,n)}},9689:(e,t,n)=>{"use strict";n.d(t,{nT:()=>m,pl:()=>p});var r=n(7294),a=n(2389),o=n(12),i=n(902),l=n(6668);const s=(0,o.WA)("docusaurus.announcement.dismiss"),c=(0,o.WA)("docusaurus.announcement.id"),u=()=>"true"===s.get(),d=e=>s.set(String(e)),f=r.createContext(null);function p(e){let{children:t}=e;const n=function(){const{announcementBar:e}=(0,l.L)(),t=(0,a.Z)(),[n,o]=(0,r.useState)((()=>!!t&&u()));(0,r.useEffect)((()=>{o(u())}),[]);const i=(0,r.useCallback)((()=>{d(!0),o(!0)}),[]);return(0,r.useEffect)((()=>{if(!e)return;const{id:t}=e;let n=c.get();"annoucement-bar"===n&&(n="announcement-bar");const r=t!==n;c.set(t),r&&d(!1),!r&&u()||o(!1)}),[e]),(0,r.useMemo)((()=>({isActive:!!e&&!n,close:i})),[e,n,i])}();return r.createElement(f.Provider,{value:n},t)}function m(){const e=(0,r.useContext)(f);if(!e)throw new i.i6("AnnouncementBarProvider");return e}},2949:(e,t,n)=>{"use strict";n.d(t,{I:()=>h,S:()=>g});var r=n(7294),a=n(412),o=n(902),i=n(12),l=n(6668);const s=r.createContext(void 0),c="theme",u=(0,i.WA)(c),d={light:"light",dark:"dark"},f=e=>e===d.dark?d.dark:d.light,p=e=>a.Z.canUseDOM?f(document.documentElement.getAttribute("data-theme")):f(e),m=e=>{u.set(f(e))};function g(e){let{children:t}=e;const n=function(){const{colorMode:{defaultMode:e,disableSwitch:t,respectPrefersColorScheme:n}}=(0,l.L)(),[a,o]=(0,r.useState)(p(e));(0,r.useEffect)((()=>{t&&u.del()}),[t]);const i=(0,r.useCallback)((function(t,r){void 0===r&&(r={});const{persist:a=!0}=r;t?(o(t),a&&m(t)):(o(n?window.matchMedia("(prefers-color-scheme: dark)").matches?d.dark:d.light:e),u.del())}),[n,e]);(0,r.useEffect)((()=>{document.documentElement.setAttribute("data-theme",f(a))}),[a]),(0,r.useEffect)((()=>{if(t)return;const e=e=>{if(e.key!==c)return;const t=u.get();null!==t&&i(f(t))};return window.addEventListener("storage",e),()=>window.removeEventListener("storage",e)}),[t,i]);const s=(0,r.useRef)(!1);return(0,r.useEffect)((()=>{if(t&&!n)return;const e=window.matchMedia("(prefers-color-scheme: dark)"),r=()=>{window.matchMedia("print").matches||s.current?s.current=window.matchMedia("print").matches:i(null)};return e.addListener(r),()=>e.removeListener(r)}),[i,t,n]),(0,r.useMemo)((()=>({colorMode:a,setColorMode:i,get isDarkTheme(){return a===d.dark},setLightTheme(){i(d.light)},setDarkTheme(){i(d.dark)}})),[a,i])}();return r.createElement(s.Provider,{value:n},t)}function h(){const e=(0,r.useContext)(s);if(null==e)throw new o.i6("ColorModeProvider","Please see https://docusaurus.io/docs/api/themes/configuration#use-color-mode.");return e}},373:(e,t,n)=>{"use strict";n.d(t,{J:()=>v,L5:()=>h,Oh:()=>y});var r=n(7294),a=n(143),o=n(9935),i=n(6668),l=n(3438),s=n(902),c=n(12);const u=e=>`docs-preferred-version-${e}`,d={save:(e,t,n)=>{(0,c.WA)(u(e),{persistence:t}).set(n)},read:(e,t)=>(0,c.WA)(u(e),{persistence:t}).get(),clear:(e,t)=>{(0,c.WA)(u(e),{persistence:t}).del()}},f=e=>Object.fromEntries(e.map((e=>[e,{preferredVersionName:null}])));const p=r.createContext(null);function m(){const e=(0,a._r)(),t=(0,i.L)().docs.versionPersistence,n=(0,r.useMemo)((()=>Object.keys(e)),[e]),[o,l]=(0,r.useState)((()=>f(n)));(0,r.useEffect)((()=>{l(function(e){let{pluginIds:t,versionPersistence:n,allDocsData:r}=e;function a(e){const t=d.read(e,n);return r[e].versions.some((e=>e.name===t))?{preferredVersionName:t}:(d.clear(e,n),{preferredVersionName:null})}return Object.fromEntries(t.map((e=>[e,a(e)])))}({allDocsData:e,versionPersistence:t,pluginIds:n}))}),[e,t,n]);return[o,(0,r.useMemo)((()=>({savePreferredVersion:function(e,n){d.save(e,t,n),l((t=>({...t,[e]:{preferredVersionName:n}})))}})),[t])]}function g(e){let{children:t}=e;const n=m();return r.createElement(p.Provider,{value:n},t)}function h(e){let{children:t}=e;return l.cE?r.createElement(g,null,t):r.createElement(r.Fragment,null,t)}function b(){const e=(0,r.useContext)(p);if(!e)throw new s.i6("DocsPreferredVersionContextProvider");return e}function v(e){void 0===e&&(e=o.m);const t=(0,a.zh)(e),[n,i]=b(),{preferredVersionName:l}=n[e];return{preferredVersion:t.versions.find((e=>e.name===l))??null,savePreferredVersionName:(0,r.useCallback)((t=>{i.savePreferredVersion(e,t)}),[i,e])}}function y(){const e=(0,a._r)(),[t]=b();function n(n){const r=e[n],{preferredVersionName:a}=t[n];return r.versions.find((e=>e.name===a))??null}const r=Object.keys(e);return Object.fromEntries(r.map((e=>[e,n(e)])))}},1116:(e,t,n)=>{"use strict";n.d(t,{V:()=>s,b:()=>l});var r=n(7294),a=n(902);const o=Symbol("EmptyContext"),i=r.createContext(o);function l(e){let{children:t,name:n,items:a}=e;const o=(0,r.useMemo)((()=>n&&a?{name:n,items:a}:null),[n,a]);return r.createElement(i.Provider,{value:o},t)}function s(){const e=(0,r.useContext)(i);if(e===o)throw new a.i6("DocsSidebarProvider");return e}},4477:(e,t,n)=>{"use strict";n.d(t,{E:()=>l,q:()=>i});var r=n(7294),a=n(902);const o=r.createContext(null);function i(e){let{children:t,version:n}=e;return r.createElement(o.Provider,{value:n},t)}function l(){const e=(0,r.useContext)(o);if(null===e)throw new a.i6("DocsVersionProvider");return e}},3163:(e,t,n)=>{"use strict";n.d(t,{M:()=>d,e:()=>f});var r=n(7294),a=n(3102),o=n(7524),i=n(1980),l=n(6668),s=n(902);const c=r.createContext(void 0);function u(){const e=function(){const e=(0,a.HY)(),{items:t}=(0,l.L)().navbar;return 0===t.length&&!e.component}(),t=(0,o.i)(),n=!e&&"mobile"===t,[s,c]=(0,r.useState)(!1);(0,i.Rb)((()=>{if(s)return c(!1),!1}));const u=(0,r.useCallback)((()=>{c((e=>!e))}),[]);return(0,r.useEffect)((()=>{"desktop"===t&&c(!1)}),[t]),(0,r.useMemo)((()=>({disabled:e,shouldRender:n,toggle:u,shown:s})),[e,n,u,s])}function d(e){let{children:t}=e;const n=u();return r.createElement(c.Provider,{value:n},t)}function f(){const e=r.useContext(c);if(void 0===e)throw new s.i6("NavbarMobileSidebarProvider");return e}},3102:(e,t,n)=>{"use strict";n.d(t,{HY:()=>l,Zo:()=>s,n2:()=>i});var r=n(7294),a=n(902);const o=r.createContext(null);function i(e){let{children:t}=e;const n=(0,r.useState)({component:null,props:null});return r.createElement(o.Provider,{value:n},t)}function l(){const e=(0,r.useContext)(o);if(!e)throw new a.i6("NavbarSecondaryMenuContentProvider");return e[0]}function s(e){let{component:t,props:n}=e;const i=(0,r.useContext)(o);if(!i)throw new a.i6("NavbarSecondaryMenuContentProvider");const[,l]=i,s=(0,a.Ql)(n);return(0,r.useEffect)((()=>{l({component:t,props:s})}),[l,t,s]),(0,r.useEffect)((()=>()=>l({component:null,props:null})),[l]),null}},9727:(e,t,n)=>{"use strict";n.d(t,{h:()=>a,t:()=>o});var r=n(7294);const a="navigation-with-keyboard";function o(){(0,r.useEffect)((()=>{function e(e){"keydown"===e.type&&"Tab"===e.key&&document.body.classList.add(a),"mousedown"===e.type&&document.body.classList.remove(a)}return document.addEventListener("keydown",e),document.addEventListener("mousedown",e),()=>{document.body.classList.remove(a),document.removeEventListener("keydown",e),document.removeEventListener("mousedown",e)}}),[])}},6177:(e,t,n)=>{"use strict";n.d(t,{K:()=>l,M:()=>s});var r=n(7294),a=n(2263),o=n(1980);const i="q";function l(){return(0,o.Nc)(i)}function s(){const{siteConfig:{baseUrl:e,themeConfig:t}}=(0,a.Z)(),{algolia:{searchPagePath:n}}=t;return(0,r.useCallback)((t=>`${e}${n}?${i}=${encodeURIComponent(t)}`),[e,n])}},7524:(e,t,n)=>{"use strict";n.d(t,{i:()=>c});var r=n(7294),a=n(412);const o={desktop:"desktop",mobile:"mobile",ssr:"ssr"},i=996;function l(){return a.Z.canUseDOM?window.innerWidth>i?o.desktop:o.mobile:o.ssr}const s=!1;function c(){const[e,t]=(0,r.useState)((()=>s?"ssr":l()));return(0,r.useEffect)((()=>{function e(){t(l())}const n=s?window.setTimeout(e,1e3):void 0;return window.addEventListener("resize",e),()=>{window.removeEventListener("resize",e),clearTimeout(n)}}),[]),e}},5281:(e,t,n)=>{"use strict";n.d(t,{k:()=>r});const r={page:{blogListPage:"blog-list-page",blogPostPage:"blog-post-page",blogTagsListPage:"blog-tags-list-page",blogTagPostListPage:"blog-tags-post-list-page",docsDocPage:"docs-doc-page",docsTagsListPage:"docs-tags-list-page",docsTagDocListPage:"docs-tags-doc-list-page",mdxPage:"mdx-page"},wrapper:{main:"main-wrapper",blogPages:"blog-wrapper",docsPages:"docs-wrapper",mdxPages:"mdx-wrapper"},common:{editThisPage:"theme-edit-this-page",lastUpdated:"theme-last-updated",backToTopButton:"theme-back-to-top-button",codeBlock:"theme-code-block",admonition:"theme-admonition",admonitionType:e=>`theme-admonition-${e}`},layout:{},docs:{docVersionBanner:"theme-doc-version-banner",docVersionBadge:"theme-doc-version-badge",docBreadcrumbs:"theme-doc-breadcrumbs",docMarkdown:"theme-doc-markdown",docTocMobile:"theme-doc-toc-mobile",docTocDesktop:"theme-doc-toc-desktop",docFooter:"theme-doc-footer",docFooterTagsRow:"theme-doc-footer-tags-row",docFooterEditMetaRow:"theme-doc-footer-edit-meta-row",docSidebarContainer:"theme-doc-sidebar-container",docSidebarMenu:"theme-doc-sidebar-menu",docSidebarItemCategory:"theme-doc-sidebar-item-category",docSidebarItemLink:"theme-doc-sidebar-item-link",docSidebarItemCategoryLevel:e=>`theme-doc-sidebar-item-category-level-${e}`,docSidebarItemLinkLevel:e=>`theme-doc-sidebar-item-link-level-${e}`},blog:{}}},1442:(e,t,n)=>{"use strict";function r(){return window.matchMedia("(prefers-reduced-motion: reduce)").matches}n.d(t,{n:()=>r})},3438:(e,t,n)=>{"use strict";n.d(t,{MN:()=>x,Wl:()=>m,_F:()=>v,cE:()=>f,hI:()=>_,jA:()=>g,lO:()=>k,oz:()=>E,s1:()=>w,vY:()=>S,xz:()=>p});var r=n(7294),a=n(6550),o=n(8790),i=n(143),l=n(373),s=n(4477),c=n(1116),u=n(7392),d=n(8596);const f=!!i._r;function p(e){const t=(0,s.E)();if(!e)return;const n=t.docs[e];if(!n)throw new Error(`no version doc found by id=${e}`);return n}function m(e){if(e.href)return e.href;for(const t of e.items){if("link"===t.type)return t.href;if("category"===t.type){const e=m(t);if(e)return e}}}function g(){const{pathname:e}=(0,a.TH)(),t=(0,c.V)();if(!t)throw new Error("Unexpected: cant find current sidebar in context");const n=y({sidebarItems:t.items,pathname:e,onlyCategories:!0}).slice(-1)[0];if(!n)throw new Error(`${e} is not associated with a category. useCurrentSidebarCategory() should only be used on category index pages.`);return n}const h=(e,t)=>void 0!==e&&(0,d.Mg)(e,t),b=(e,t)=>e.some((e=>v(e,t)));function v(e,t){return"link"===e.type?h(e.href,t):"category"===e.type&&(h(e.href,t)||b(e.items,t))}function y(e){let{sidebarItems:t,pathname:n,onlyCategories:r=!1}=e;const a=[];return function e(t){for(const o of t)if("category"===o.type&&((0,d.Mg)(o.href,n)||e(o.items))||"link"===o.type&&(0,d.Mg)(o.href,n)){return r&&"category"!==o.type||a.unshift(o),!0}return!1}(t),a}function w(){const e=(0,c.V)(),{pathname:t}=(0,a.TH)(),n=(0,i.gA)()?.pluginData.breadcrumbs;return!1!==n&&e?y({sidebarItems:e.items,pathname:t}):null}function k(e){const{activeVersion:t}=(0,i.Iw)(e),{preferredVersion:n}=(0,l.J)(e),a=(0,i.yW)(e);return(0,r.useMemo)((()=>(0,u.j)([t,n,a].filter(Boolean))),[t,n,a])}function E(e,t){const n=k(t);return(0,r.useMemo)((()=>{const t=n.flatMap((e=>e.sidebars?Object.entries(e.sidebars):[])),r=t.find((t=>t[0]===e));if(!r)throw new Error(`Can't find any sidebar with id "${e}" in version${n.length>1?"s":""} ${n.map((e=>e.name)).join(", ")}".\nAvailable sidebar ids are:\n- ${t.map((e=>e[0])).join("\n- ")}`);return r[1]}),[e,n])}function S(e,t){const n=k(t);return(0,r.useMemo)((()=>{const t=n.flatMap((e=>e.docs)),r=t.find((t=>t.id===e));if(!r){if(n.flatMap((e=>e.draftIds)).includes(e))return null;throw new Error(`Couldn't find any doc with id "${e}" in version${n.length>1?"s":""} "${n.map((e=>e.name)).join(", ")}".\nAvailable doc ids are:\n- ${(0,u.j)(t.map((e=>e.id))).join("\n- ")}`)}return r}),[e,n])}function _(e){let{route:t,versionMetadata:n}=e;const r=(0,a.TH)(),i=t.routes,l=i.find((e=>(0,a.LX)(r.pathname,e)));if(!l)return null;const s=l.sidebar,c=s?n.docsSidebars[s]:void 0;return{docElement:(0,o.H)(i),sidebarName:s,sidebarItems:c}}function x(e){return e.filter((e=>"category"!==e.type||!!m(e)))}},2128:(e,t,n)=>{"use strict";n.d(t,{p:()=>a});var r=n(2263);function a(e){const{siteConfig:t}=(0,r.Z)(),{title:n,titleDelimiter:a}=t;return e?.trim().length?`${e.trim()} ${a} ${n}`:n}},1980:(e,t,n)=>{"use strict";n.d(t,{Nc:()=>c,Rb:()=>l,_X:()=>s});var r=n(7294),a=n(6550),o=n(1688),i=n(902);function l(e){!function(e){const t=(0,a.k6)(),n=(0,i.zX)(e);(0,r.useEffect)((()=>t.block(((e,t)=>n(e,t)))),[t,n])}(((t,n)=>{if("POP"===n)return e(t,n)}))}function s(e){return function(e){const t=(0,a.k6)();return(0,o.useSyncExternalStore)(t.listen,(()=>e(t)),(()=>e(t)))}((t=>null===e?null:new URLSearchParams(t.location.search).get(e)))}function c(e){const t=s(e)??"",n=function(){const e=(0,a.k6)();return(0,r.useCallback)(((t,n,r)=>{const a=new URLSearchParams(e.location.search);n?a.set(t,n):a.delete(t),(r?.push?e.push:e.replace)({search:a.toString()})}),[e])}();return[t,(0,r.useCallback)(((t,r)=>{n(e,t,r)}),[n,e])]}},7392:(e,t,n)=>{"use strict";function r(e,t){return void 0===t&&(t=(e,t)=>e===t),e.filter(((n,r)=>e.findIndex((e=>t(e,n)))!==r))}function a(e){return Array.from(new Set(e))}n.d(t,{j:()=>a,l:()=>r})},833:(e,t,n)=>{"use strict";n.d(t,{FG:()=>f,d:()=>u,VC:()=>p});var r=n(7294),a=n(6010),o=n(5742),i=n(226);function l(){const e=r.useContext(i._);if(!e)throw new Error("Unexpected: no Docusaurus route context found");return e}var s=n(4996),c=n(2128);function u(e){let{title:t,description:n,keywords:a,image:i,children:l}=e;const u=(0,c.p)(t),{withBaseUrl:d}=(0,s.C)(),f=i?d(i,{absolute:!0}):void 0;return r.createElement(o.Z,null,t&&r.createElement("title",null,u),t&&r.createElement("meta",{property:"og:title",content:u}),n&&r.createElement("meta",{name:"description",content:n}),n&&r.createElement("meta",{property:"og:description",content:n}),a&&r.createElement("meta",{name:"keywords",content:Array.isArray(a)?a.join(","):a}),f&&r.createElement("meta",{property:"og:image",content:f}),f&&r.createElement("meta",{name:"twitter:image",content:f}),l)}const d=r.createContext(void 0);function f(e){let{className:t,children:n}=e;const i=r.useContext(d),l=(0,a.Z)(i,t);return r.createElement(d.Provider,{value:l},r.createElement(o.Z,null,r.createElement("html",{className:l})),n)}function p(e){let{children:t}=e;const n=l(),o=`plugin-${n.plugin.name.replace(/docusaurus-(?:plugin|theme)-(?:content-)?/gi,"")}`;const i=`plugin-id-${n.plugin.id}`;return r.createElement(f,{className:(0,a.Z)(o,i)},t)}},902:(e,t,n)=>{"use strict";n.d(t,{D9:()=>i,Qc:()=>c,Ql:()=>s,i6:()=>l,zX:()=>o});var r=n(7294);const a=n(412).Z.canUseDOM?r.useLayoutEffect:r.useEffect;function o(e){const t=(0,r.useRef)(e);return a((()=>{t.current=e}),[e]),(0,r.useCallback)((function(){return t.current(...arguments)}),[])}function i(e){const t=(0,r.useRef)();return a((()=>{t.current=e})),t.current}class l extends Error{constructor(e,t){super(),this.name="ReactContextError",this.message=`Hook ${this.stack?.split("\n")[1]?.match(/at (?:\w+\.)?(?\w+)/)?.groups.name??""} is called outside the <${e}>. ${t??""}`}}function s(e){const t=Object.entries(e);return t.sort(((e,t)=>e[0].localeCompare(t[0]))),(0,r.useMemo)((()=>e),t.flat())}function c(e){return t=>{let{children:n}=t;return r.createElement(r.Fragment,null,e.reduceRight(((e,t)=>r.createElement(t,null,e)),n))}}},8022:(e,t,n)=>{"use strict";function r(e,t){return void 0!==e&&void 0!==t&&new RegExp(e,"gi").test(t)}n.d(t,{F:()=>r})},8596:(e,t,n)=>{"use strict";n.d(t,{Mg:()=>i,Ns:()=>l});var r=n(7294),a=n(723),o=n(2263);function i(e,t){const n=e=>(!e||e.endsWith("/")?e:`${e}/`)?.toLowerCase();return n(e)===n(t)}function l(){const{baseUrl:e}=(0,o.Z)().siteConfig;return(0,r.useMemo)((()=>function(e){let{baseUrl:t,routes:n}=e;function r(e){return e.path===t&&!0===e.exact}function a(e){return e.path===t&&!e.exact}return function e(t){if(0===t.length)return;return t.find(r)||e(t.filter(a).flatMap((e=>e.routes??[])))}(n)}({routes:a.Z,baseUrl:e})),[e])}},2466:(e,t,n)=>{"use strict";n.d(t,{Ct:()=>p,OC:()=>s,RF:()=>d,o5:()=>f});var r=n(7294),a=n(412),o=n(2389),i=n(902);const l=r.createContext(void 0);function s(e){let{children:t}=e;const n=function(){const e=(0,r.useRef)(!0);return(0,r.useMemo)((()=>({scrollEventsEnabledRef:e,enableScrollEvents:()=>{e.current=!0},disableScrollEvents:()=>{e.current=!1}})),[])}();return r.createElement(l.Provider,{value:n},t)}function c(){const e=(0,r.useContext)(l);if(null==e)throw new i.i6("ScrollControllerProvider");return e}const u=()=>a.Z.canUseDOM?{scrollX:window.pageXOffset,scrollY:window.pageYOffset}:null;function d(e,t){void 0===t&&(t=[]);const{scrollEventsEnabledRef:n}=c(),a=(0,r.useRef)(u()),o=(0,i.zX)(e);(0,r.useEffect)((()=>{const e=()=>{if(!n.current)return;const e=u();o(e,a.current),a.current=e},t={passive:!0};return e(),window.addEventListener("scroll",e,t),()=>window.removeEventListener("scroll",e,t)}),[o,n,...t])}function f(){const e=c(),t=function(){const e=(0,r.useRef)({elem:null,top:0}),t=(0,r.useCallback)((t=>{e.current={elem:t,top:t.getBoundingClientRect().top}}),[]),n=(0,r.useCallback)((()=>{const{current:{elem:t,top:n}}=e;if(!t)return{restored:!1};const r=t.getBoundingClientRect().top-n;return r&&window.scrollBy({left:0,top:r}),e.current={elem:null,top:0},{restored:0!==r}}),[]);return(0,r.useMemo)((()=>({save:t,restore:n})),[n,t])}(),n=(0,r.useRef)(void 0),a=(0,r.useCallback)((r=>{t.save(r),e.disableScrollEvents(),n.current=()=>{const{restored:r}=t.restore();if(n.current=void 0,r){const t=()=>{e.enableScrollEvents(),window.removeEventListener("scroll",t)};window.addEventListener("scroll",t)}else e.enableScrollEvents()}}),[e,t]);return(0,r.useLayoutEffect)((()=>{queueMicrotask((()=>n.current?.()))})),{blockElementScrollPositionUntilNextRender:a}}function p(){const e=(0,r.useRef)(null),t=(0,o.Z)()&&"smooth"===getComputedStyle(document.documentElement).scrollBehavior;return{startScroll:n=>{e.current=t?function(e){return window.scrollTo({top:e,behavior:"smooth"}),()=>{}}(n):function(e){let t=null;const n=document.documentElement.scrollTop>e;return function r(){const a=document.documentElement.scrollTop;(n&&a>e||!n&&at&&cancelAnimationFrame(t)}(n)},cancelScroll:()=>e.current?.()}}},3320:(e,t,n)=>{"use strict";n.d(t,{HX:()=>i,_q:()=>s,os:()=>l});var r=n(143),a=n(2263),o=n(373);const i="default";function l(e,t){return`docs-${e}-${t}`}function s(){const{i18n:e}=(0,a.Z)(),t=(0,r._r)(),n=(0,r.WS)(),s=(0,o.Oh)();const c=[i,...Object.keys(t).map((function(e){const r=n?.activePlugin.pluginId===e?n.activeVersion:void 0,a=s[e],o=t[e].versions.find((e=>e.isLast));return l(e,(r??a??o).name)}))];return{locale:e.currentLocale,tags:c}}},12:(e,t,n)=>{"use strict";n.d(t,{Nk:()=>d,WA:()=>u});var r=n(7294),a=n(1688);const o="localStorage";function i(e){let{key:t,oldValue:n,newValue:r,storage:a}=e;if(n===r)return;const o=document.createEvent("StorageEvent");o.initStorageEvent("storage",!1,!1,t,n,r,window.location.href,a),window.dispatchEvent(o)}function l(e){if(void 0===e&&(e=o),"undefined"==typeof window)throw new Error("Browser storage is not available on Node.js/Docusaurus SSR process.");if("none"===e)return null;try{return window[e]}catch(n){return t=n,s||(console.warn("Docusaurus browser storage is not available.\nPossible reasons: running Docusaurus in an iframe, in an incognito browser session, or using too strict browser privacy settings.",t),s=!0),null}var t}let s=!1;const c={get:()=>null,set:()=>{},del:()=>{},listen:()=>()=>{}};function u(e,t){if("undefined"==typeof window)return function(e){function t(){throw new Error(`Illegal storage API usage for storage key "${e}".\nDocusaurus storage APIs are not supposed to be called on the server-rendering process.\nPlease only call storage APIs in effects and event handlers.`)}return{get:t,set:t,del:t,listen:t}}(e);const n=l(t?.persistence);return null===n?c:{get:()=>{try{return n.getItem(e)}catch(t){return console.error(`Docusaurus storage error, can't get key=${e}`,t),null}},set:t=>{try{const r=n.getItem(e);n.setItem(e,t),i({key:e,oldValue:r,newValue:t,storage:n})}catch(r){console.error(`Docusaurus storage error, can't set ${e}=${t}`,r)}},del:()=>{try{const t=n.getItem(e);n.removeItem(e),i({key:e,oldValue:t,newValue:null,storage:n})}catch(t){console.error(`Docusaurus storage error, can't delete key=${e}`,t)}},listen:t=>{try{const r=r=>{r.storageArea===n&&r.key===e&&t(r)};return window.addEventListener("storage",r),()=>window.removeEventListener("storage",r)}catch(r){return console.error(`Docusaurus storage error, can't listen for changes of key=${e}`,r),()=>{}}}}}function d(e,t){const n=(0,r.useRef)((()=>null===e?c:u(e,t))).current(),o=(0,r.useCallback)((e=>"undefined"==typeof window?()=>{}:n.listen(e)),[n]);return[(0,a.useSyncExternalStore)(o,(()=>"undefined"==typeof window?null:n.get()),(()=>null)),n]}},4711:(e,t,n)=>{"use strict";n.d(t,{l:()=>o});var r=n(2263),a=n(6550);function o(){const{siteConfig:{baseUrl:e,url:t},i18n:{defaultLocale:n,currentLocale:o}}=(0,r.Z)(),{pathname:i}=(0,a.TH)(),l=o===n?e:e.replace(`/${o}/`,"/"),s=i.replace(e,"");return{createUrl:function(e){let{locale:r,fullyQualified:a}=e;return`${a?t:""}${function(e){return e===n?`${l}`:`${l}${e}/`}(r)}${s}`}}}},5936:(e,t,n)=>{"use strict";n.d(t,{S:()=>i});var r=n(7294),a=n(6550),o=n(902);function i(e){const t=(0,a.TH)(),n=(0,o.D9)(t),i=(0,o.zX)(e);(0,r.useEffect)((()=>{n&&t!==n&&i({location:t,previousLocation:n})}),[i,t,n])}},6668:(e,t,n)=>{"use strict";n.d(t,{L:()=>a});var r=n(2263);function a(){return(0,r.Z)().siteConfig.themeConfig}},6278:(e,t,n)=>{"use strict";n.d(t,{L:()=>a});var r=n(2263);function a(){const{siteConfig:{themeConfig:e}}=(0,r.Z)();return e}},239:(e,t,n)=>{"use strict";n.d(t,{l:()=>l});var r=n(7294),a=n(8022),o=n(4996),i=n(6278);function l(){const{withBaseUrl:e}=(0,o.C)(),{algolia:{externalUrlRegex:t,replaceSearchResultPathname:n}}=(0,i.L)();return(0,r.useCallback)((r=>{const o=new URL(r);if((0,a.F)(t,o.href))return r;const i=`${o.pathname+o.hash}`;return e(function(e,t){return t?e.replaceAll(new RegExp(t.from,"g"),t.to):e}(i,n))}),[e,t,n])}},8802:(e,t)=>{"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.default=function(e,t){const{trailingSlash:n,baseUrl:r}=t;if(e.startsWith("#"))return e;if(void 0===n)return e;const[a]=e.split(/[#?]/),o="/"===a||a===r?a:(i=a,n?function(e){return e.endsWith("/")?e:`${e}/`}(i):function(e){return e.endsWith("/")?e.slice(0,-1):e}(i));var i;return e.replace(a,o)}},4143:(e,t)=>{"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.getErrorCausalChain=void 0,t.getErrorCausalChain=function e(t){return t.cause?[t,...e(t.cause)]:[t]}},8780:function(e,t,n){"use strict";var r=this&&this.__importDefault||function(e){return e&&e.__esModule?e:{default:e}};Object.defineProperty(t,"__esModule",{value:!0}),t.getErrorCausalChain=t.applyTrailingSlash=t.blogPostContainerID=void 0,t.blogPostContainerID="__blog-post-container";var a=n(8802);Object.defineProperty(t,"applyTrailingSlash",{enumerable:!0,get:function(){return r(a).default}});var o=n(4143);Object.defineProperty(t,"getErrorCausalChain",{enumerable:!0,get:function(){return o.getErrorCausalChain}})},6010:(e,t,n)=>{"use strict";function r(e){var t,n,a="";if("string"==typeof e||"number"==typeof e)a+=e;else if("object"==typeof e)if(Array.isArray(e))for(t=0;ta});const a=function(){for(var e,t,n=0,a="";n{"use strict";n.d(t,{lX:()=>w,q_:()=>T,ob:()=>p,PP:()=>A,Ep:()=>f});var r=n(7462);function a(e){return"/"===e.charAt(0)}function o(e,t){for(var n=t,r=n+1,a=e.length;r=0;f--){var p=i[f];"."===p?o(i,f):".."===p?(o(i,f),d++):d&&(o(i,f),d--)}if(!c)for(;d--;d)i.unshift("..");!c||""===i[0]||i[0]&&a(i[0])||i.unshift("");var m=i.join("/");return n&&"/"!==m.substr(-1)&&(m+="/"),m};var l=n(8776);function s(e){return"/"===e.charAt(0)?e:"/"+e}function c(e){return"/"===e.charAt(0)?e.substr(1):e}function u(e,t){return function(e,t){return 0===e.toLowerCase().indexOf(t.toLowerCase())&&-1!=="/?#".indexOf(e.charAt(t.length))}(e,t)?e.substr(t.length):e}function d(e){return"/"===e.charAt(e.length-1)?e.slice(0,-1):e}function f(e){var t=e.pathname,n=e.search,r=e.hash,a=t||"/";return n&&"?"!==n&&(a+="?"===n.charAt(0)?n:"?"+n),r&&"#"!==r&&(a+="#"===r.charAt(0)?r:"#"+r),a}function p(e,t,n,a){var o;"string"==typeof e?(o=function(e){var t=e||"/",n="",r="",a=t.indexOf("#");-1!==a&&(r=t.substr(a),t=t.substr(0,a));var o=t.indexOf("?");return-1!==o&&(n=t.substr(o),t=t.substr(0,o)),{pathname:t,search:"?"===n?"":n,hash:"#"===r?"":r}}(e),o.state=t):(void 0===(o=(0,r.Z)({},e)).pathname&&(o.pathname=""),o.search?"?"!==o.search.charAt(0)&&(o.search="?"+o.search):o.search="",o.hash?"#"!==o.hash.charAt(0)&&(o.hash="#"+o.hash):o.hash="",void 0!==t&&void 0===o.state&&(o.state=t));try{o.pathname=decodeURI(o.pathname)}catch(l){throw l instanceof URIError?new URIError('Pathname "'+o.pathname+'" could not be decoded. This is likely caused by an invalid percent-encoding.'):l}return n&&(o.key=n),a?o.pathname?"/"!==o.pathname.charAt(0)&&(o.pathname=i(o.pathname,a.pathname)):o.pathname=a.pathname:o.pathname||(o.pathname="/"),o}function m(){var e=null;var t=[];return{setPrompt:function(t){return e=t,function(){e===t&&(e=null)}},confirmTransitionTo:function(t,n,r,a){if(null!=e){var o="function"==typeof e?e(t,n):e;"string"==typeof o?"function"==typeof r?r(o,a):a(!0):a(!1!==o)}else a(!0)},appendListener:function(e){var n=!0;function r(){n&&e.apply(void 0,arguments)}return t.push(r),function(){n=!1,t=t.filter((function(e){return e!==r}))}},notifyListeners:function(){for(var e=arguments.length,n=new Array(e),r=0;rt?n.splice(t,n.length-t,a):n.push(a),d({action:r,location:a,index:t,entries:n})}}))},replace:function(e,t){var r="REPLACE",a=p(e,t,g(),w.location);u.confirmTransitionTo(a,r,n,(function(e){e&&(w.entries[w.index]=a,d({action:r,location:a}))}))},go:y,goBack:function(){y(-1)},goForward:function(){y(1)},canGo:function(e){var t=w.index+e;return t>=0&&t{"use strict";var r=n(9864),a={childContextTypes:!0,contextType:!0,contextTypes:!0,defaultProps:!0,displayName:!0,getDefaultProps:!0,getDerivedStateFromError:!0,getDerivedStateFromProps:!0,mixins:!0,propTypes:!0,type:!0},o={name:!0,length:!0,prototype:!0,caller:!0,callee:!0,arguments:!0,arity:!0},i={$$typeof:!0,compare:!0,defaultProps:!0,displayName:!0,propTypes:!0,type:!0},l={};function s(e){return r.isMemo(e)?i:l[e.$$typeof]||a}l[r.ForwardRef]={$$typeof:!0,render:!0,defaultProps:!0,displayName:!0,propTypes:!0},l[r.Memo]=i;var c=Object.defineProperty,u=Object.getOwnPropertyNames,d=Object.getOwnPropertySymbols,f=Object.getOwnPropertyDescriptor,p=Object.getPrototypeOf,m=Object.prototype;e.exports=function e(t,n,r){if("string"!=typeof n){if(m){var a=p(n);a&&a!==m&&e(t,a,r)}var i=u(n);d&&(i=i.concat(d(n)));for(var l=s(t),g=s(n),h=0;h{"use strict";e.exports=function(e,t,n,r,a,o,i,l){if(!e){var s;if(void 0===t)s=new Error("Minified exception occurred; use the non-minified dev environment for the full error message and additional helpful warnings.");else{var c=[n,r,a,o,i,l],u=0;(s=new Error(t.replace(/%s/g,(function(){return c[u++]})))).name="Invariant Violation"}throw s.framesToPop=1,s}}},5826:e=>{e.exports=Array.isArray||function(e){return"[object Array]"==Object.prototype.toString.call(e)}},7439:(e,t,n)=>{"use strict";n.r(t)},2497:(e,t,n)=>{"use strict";n.r(t)},7800:(e,t,n)=>{"use strict";n.r(t)},4865:function(e,t,n){var r,a;r=function(){var e,t,n={version:"0.2.0"},r=n.settings={minimum:.08,easing:"ease",positionUsing:"",speed:200,trickle:!0,trickleRate:.02,trickleSpeed:800,showSpinner:!0,barSelector:'[role="bar"]',spinnerSelector:'[role="spinner"]',parent:"body",template:'
'};function a(e,t,n){return en?n:e}function o(e){return 100*(-1+e)}function i(e,t,n){var a;return(a="translate3d"===r.positionUsing?{transform:"translate3d("+o(e)+"%,0,0)"}:"translate"===r.positionUsing?{transform:"translate("+o(e)+"%,0)"}:{"margin-left":o(e)+"%"}).transition="all "+t+"ms "+n,a}n.configure=function(e){var t,n;for(t in e)void 0!==(n=e[t])&&e.hasOwnProperty(t)&&(r[t]=n);return this},n.status=null,n.set=function(e){var t=n.isStarted();e=a(e,r.minimum,1),n.status=1===e?null:e;var o=n.render(!t),c=o.querySelector(r.barSelector),u=r.speed,d=r.easing;return o.offsetWidth,l((function(t){""===r.positionUsing&&(r.positionUsing=n.getPositioningCSS()),s(c,i(e,u,d)),1===e?(s(o,{transition:"none",opacity:1}),o.offsetWidth,setTimeout((function(){s(o,{transition:"all "+u+"ms linear",opacity:0}),setTimeout((function(){n.remove(),t()}),u)}),u)):setTimeout(t,u)})),this},n.isStarted=function(){return"number"==typeof n.status},n.start=function(){n.status||n.set(0);var e=function(){setTimeout((function(){n.status&&(n.trickle(),e())}),r.trickleSpeed)};return r.trickle&&e(),this},n.done=function(e){return e||n.status?n.inc(.3+.5*Math.random()).set(1):this},n.inc=function(e){var t=n.status;return t?("number"!=typeof e&&(e=(1-t)*a(Math.random()*t,.1,.95)),t=a(t+e,0,.994),n.set(t)):n.start()},n.trickle=function(){return n.inc(Math.random()*r.trickleRate)},e=0,t=0,n.promise=function(r){return r&&"resolved"!==r.state()?(0===t&&n.start(),e++,t++,r.always((function(){0==--t?(e=0,n.done()):n.set((e-t)/e)})),this):this},n.render=function(e){if(n.isRendered())return document.getElementById("nprogress");u(document.documentElement,"nprogress-busy");var t=document.createElement("div");t.id="nprogress",t.innerHTML=r.template;var a,i=t.querySelector(r.barSelector),l=e?"-100":o(n.status||0),c=document.querySelector(r.parent);return s(i,{transition:"all 0 linear",transform:"translate3d("+l+"%,0,0)"}),r.showSpinner||(a=t.querySelector(r.spinnerSelector))&&p(a),c!=document.body&&u(c,"nprogress-custom-parent"),c.appendChild(t),t},n.remove=function(){d(document.documentElement,"nprogress-busy"),d(document.querySelector(r.parent),"nprogress-custom-parent");var e=document.getElementById("nprogress");e&&p(e)},n.isRendered=function(){return!!document.getElementById("nprogress")},n.getPositioningCSS=function(){var e=document.body.style,t="WebkitTransform"in e?"Webkit":"MozTransform"in e?"Moz":"msTransform"in e?"ms":"OTransform"in e?"O":"";return t+"Perspective"in e?"translate3d":t+"Transform"in e?"translate":"margin"};var l=function(){var e=[];function t(){var n=e.shift();n&&n(t)}return function(n){e.push(n),1==e.length&&t()}}(),s=function(){var e=["Webkit","O","Moz","ms"],t={};function n(e){return e.replace(/^-ms-/,"ms-").replace(/-([\da-z])/gi,(function(e,t){return t.toUpperCase()}))}function r(t){var n=document.body.style;if(t in n)return t;for(var r,a=e.length,o=t.charAt(0).toUpperCase()+t.slice(1);a--;)if((r=e[a]+o)in n)return r;return t}function a(e){return e=n(e),t[e]||(t[e]=r(e))}function o(e,t,n){t=a(t),e.style[t]=n}return function(e,t){var n,r,a=arguments;if(2==a.length)for(n in t)void 0!==(r=t[n])&&t.hasOwnProperty(n)&&o(e,n,r);else o(e,a[1],a[2])}}();function c(e,t){return("string"==typeof e?e:f(e)).indexOf(" "+t+" ")>=0}function u(e,t){var n=f(e),r=n+t;c(n,t)||(e.className=r.substring(1))}function d(e,t){var n,r=f(e);c(e,t)&&(n=r.replace(" "+t+" "," "),e.className=n.substring(1,n.length-1))}function f(e){return(" "+(e.className||"")+" ").replace(/\s+/gi," ")}function p(e){e&&e.parentNode&&e.parentNode.removeChild(e)}return n},void 0===(a="function"==typeof r?r.call(t,n,t,e):r)||(e.exports=a)},7418:e=>{"use strict";var t=Object.getOwnPropertySymbols,n=Object.prototype.hasOwnProperty,r=Object.prototype.propertyIsEnumerable;e.exports=function(){try{if(!Object.assign)return!1;var e=new String("abc");if(e[5]="de","5"===Object.getOwnPropertyNames(e)[0])return!1;for(var t={},n=0;n<10;n++)t["_"+String.fromCharCode(n)]=n;if("0123456789"!==Object.getOwnPropertyNames(t).map((function(e){return t[e]})).join(""))return!1;var r={};return"abcdefghijklmnopqrst".split("").forEach((function(e){r[e]=e})),"abcdefghijklmnopqrst"===Object.keys(Object.assign({},r)).join("")}catch(a){return!1}}()?Object.assign:function(e,a){for(var o,i,l=function(e){if(null==e)throw new TypeError("Object.assign cannot be called with null or undefined");return Object(e)}(e),s=1;s{"use strict";n.d(t,{Z:()=>o});var r=function(){var e=/(?:^|\s)lang(?:uage)?-([\w-]+)(?=\s|$)/i,t=0,n={},r={util:{encode:function e(t){return t instanceof a?new a(t.type,e(t.content),t.alias):Array.isArray(t)?t.map(e):t.replace(/&/g,"&").replace(/=d.reach);S+=E.value.length,E=E.next){var _=E.value;if(t.length>e.length)return;if(!(_ instanceof a)){var x,T=1;if(v){if(!(x=o(k,S,e,b))||x.index>=e.length)break;var C=x.index,A=x.index+x[0].length,L=S;for(L+=E.value.length;C>=L;)L+=(E=E.next).value.length;if(S=L-=E.value.length,E.value instanceof a)continue;for(var P=E;P!==t.tail&&(Ld.reach&&(d.reach=R);var M=E.prev;if(I&&(M=s(t,M,I),S+=I.length),c(t,M,T),E=s(t,M,new a(f,h?r.tokenize(N,h):N,y,N)),O&&s(t,E,O),T>1){var D={cause:f+","+m,reach:R};i(e,t,n,E.prev,S,D),d&&D.reach>d.reach&&(d.reach=D.reach)}}}}}}function l(){var e={value:null,prev:null,next:null},t={value:null,prev:e,next:null};e.next=t,this.head=e,this.tail=t,this.length=0}function s(e,t,n){var r=t.next,a={value:n,prev:t,next:r};return t.next=a,r.prev=a,e.length++,a}function c(e,t,n){for(var r=t.next,a=0;a"+o.content+""},r}(),a=r;r.default=r,a.languages.markup={comment:{pattern://,greedy:!0},prolog:{pattern:/<\?[\s\S]+?\?>/,greedy:!0},doctype:{pattern:/"'[\]]|"[^"]*"|'[^']*')+(?:\[(?:[^<"'\]]|"[^"]*"|'[^']*'|<(?!!--)|)*\]\s*)?>/i,greedy:!0,inside:{"internal-subset":{pattern:/(^[^\[]*\[)[\s\S]+(?=\]>$)/,lookbehind:!0,greedy:!0,inside:null},string:{pattern:/"[^"]*"|'[^']*'/,greedy:!0},punctuation:/^$|[[\]]/,"doctype-tag":/^DOCTYPE/i,name:/[^\s<>'"]+/}},cdata:{pattern://i,greedy:!0},tag:{pattern:/<\/?(?!\d)[^\s>\/=$<%]+(?:\s(?:\s*[^\s>\/=]+(?:\s*=\s*(?:"[^"]*"|'[^']*'|[^\s'">=]+(?=[\s>]))|(?=[\s/>])))+)?\s*\/?>/,greedy:!0,inside:{tag:{pattern:/^<\/?[^\s>\/]+/,inside:{punctuation:/^<\/?/,namespace:/^[^\s>\/:]+:/}},"special-attr":[],"attr-value":{pattern:/=\s*(?:"[^"]*"|'[^']*'|[^\s'">=]+)/,inside:{punctuation:[{pattern:/^=/,alias:"attr-equals"},/"|'/]}},punctuation:/\/?>/,"attr-name":{pattern:/[^\s>\/]+/,inside:{namespace:/^[^\s>\/:]+:/}}}},entity:[{pattern:/&[\da-z]{1,8};/i,alias:"named-entity"},/&#x?[\da-f]{1,8};/i]},a.languages.markup.tag.inside["attr-value"].inside.entity=a.languages.markup.entity,a.languages.markup.doctype.inside["internal-subset"].inside=a.languages.markup,a.hooks.add("wrap",(function(e){"entity"===e.type&&(e.attributes.title=e.content.replace(/&/,"&"))})),Object.defineProperty(a.languages.markup.tag,"addInlined",{value:function(e,t){var n={};n["language-"+t]={pattern:/(^$)/i,lookbehind:!0,inside:a.languages[t]},n.cdata=/^$/i;var r={"included-cdata":{pattern://i,inside:n}};r["language-"+t]={pattern:/[\s\S]+/,inside:a.languages[t]};var o={};o[e]={pattern:RegExp(/(<__[^>]*>)(?:))*\]\]>|(?!)/.source.replace(/__/g,(function(){return e})),"i"),lookbehind:!0,greedy:!0,inside:r},a.languages.insertBefore("markup","cdata",o)}}),Object.defineProperty(a.languages.markup.tag,"addAttribute",{value:function(e,t){a.languages.markup.tag.inside["special-attr"].push({pattern:RegExp(/(^|["'\s])/.source+"(?:"+e+")"+/\s*=\s*(?:"[^"]*"|'[^']*'|[^\s'">=]+(?=[\s>]))/.source,"i"),lookbehind:!0,inside:{"attr-name":/^[^\s=]+/,"attr-value":{pattern:/=[\s\S]+/,inside:{value:{pattern:/(^=\s*(["']|(?!["'])))\S[\s\S]*(?=\2$)/,lookbehind:!0,alias:[t,"language-"+t],inside:a.languages[t]},punctuation:[{pattern:/^=/,alias:"attr-equals"},/"|'/]}}}})}}),a.languages.html=a.languages.markup,a.languages.mathml=a.languages.markup,a.languages.svg=a.languages.markup,a.languages.xml=a.languages.extend("markup",{}),a.languages.ssml=a.languages.xml,a.languages.atom=a.languages.xml,a.languages.rss=a.languages.xml,function(e){var t="\\b(?:BASH|BASHOPTS|BASH_ALIASES|BASH_ARGC|BASH_ARGV|BASH_CMDS|BASH_COMPLETION_COMPAT_DIR|BASH_LINENO|BASH_REMATCH|BASH_SOURCE|BASH_VERSINFO|BASH_VERSION|COLORTERM|COLUMNS|COMP_WORDBREAKS|DBUS_SESSION_BUS_ADDRESS|DEFAULTS_PATH|DESKTOP_SESSION|DIRSTACK|DISPLAY|EUID|GDMSESSION|GDM_LANG|GNOME_KEYRING_CONTROL|GNOME_KEYRING_PID|GPG_AGENT_INFO|GROUPS|HISTCONTROL|HISTFILE|HISTFILESIZE|HISTSIZE|HOME|HOSTNAME|HOSTTYPE|IFS|INSTANCE|JOB|LANG|LANGUAGE|LC_ADDRESS|LC_ALL|LC_IDENTIFICATION|LC_MEASUREMENT|LC_MONETARY|LC_NAME|LC_NUMERIC|LC_PAPER|LC_TELEPHONE|LC_TIME|LESSCLOSE|LESSOPEN|LINES|LOGNAME|LS_COLORS|MACHTYPE|MAILCHECK|MANDATORY_PATH|NO_AT_BRIDGE|OLDPWD|OPTERR|OPTIND|ORBIT_SOCKETDIR|OSTYPE|PAPERSIZE|PATH|PIPESTATUS|PPID|PS1|PS2|PS3|PS4|PWD|RANDOM|REPLY|SECONDS|SELINUX_INIT|SESSION|SESSIONTYPE|SESSION_MANAGER|SHELL|SHELLOPTS|SHLVL|SSH_AUTH_SOCK|TERM|UID|UPSTART_EVENTS|UPSTART_INSTANCE|UPSTART_JOB|UPSTART_SESSION|USER|WINDOWID|XAUTHORITY|XDG_CONFIG_DIRS|XDG_CURRENT_DESKTOP|XDG_DATA_DIRS|XDG_GREETER_DATA_DIR|XDG_MENU_PREFIX|XDG_RUNTIME_DIR|XDG_SEAT|XDG_SEAT_PATH|XDG_SESSION_DESKTOP|XDG_SESSION_ID|XDG_SESSION_PATH|XDG_SESSION_TYPE|XDG_VTNR|XMODIFIERS)\\b",n={pattern:/(^(["']?)\w+\2)[ \t]+\S.*/,lookbehind:!0,alias:"punctuation",inside:null},r={bash:n,environment:{pattern:RegExp("\\$"+t),alias:"constant"},variable:[{pattern:/\$?\(\([\s\S]+?\)\)/,greedy:!0,inside:{variable:[{pattern:/(^\$\(\([\s\S]+)\)\)/,lookbehind:!0},/^\$\(\(/],number:/\b0x[\dA-Fa-f]+\b|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:[Ee]-?\d+)?/,operator:/--|\+\+|\*\*=?|<<=?|>>=?|&&|\|\||[=!+\-*/%<>^&|]=?|[?~:]/,punctuation:/\(\(?|\)\)?|,|;/}},{pattern:/\$\((?:\([^)]+\)|[^()])+\)|`[^`]+`/,greedy:!0,inside:{variable:/^\$\(|^`|\)$|`$/}},{pattern:/\$\{[^}]+\}/,greedy:!0,inside:{operator:/:[-=?+]?|[!\/]|##?|%%?|\^\^?|,,?/,punctuation:/[\[\]]/,environment:{pattern:RegExp("(\\{)"+t),lookbehind:!0,alias:"constant"}}},/\$(?:\w+|[#?*!@$])/],entity:/\\(?:[abceEfnrtv\\"]|O?[0-7]{1,3}|U[0-9a-fA-F]{8}|u[0-9a-fA-F]{4}|x[0-9a-fA-F]{1,2})/};e.languages.bash={shebang:{pattern:/^#!\s*\/.*/,alias:"important"},comment:{pattern:/(^|[^"{\\$])#.*/,lookbehind:!0},"function-name":[{pattern:/(\bfunction\s+)[\w-]+(?=(?:\s*\(?:\s*\))?\s*\{)/,lookbehind:!0,alias:"function"},{pattern:/\b[\w-]+(?=\s*\(\s*\)\s*\{)/,alias:"function"}],"for-or-select":{pattern:/(\b(?:for|select)\s+)\w+(?=\s+in\s)/,alias:"variable",lookbehind:!0},"assign-left":{pattern:/(^|[\s;|&]|[<>]\()\w+(?=\+?=)/,inside:{environment:{pattern:RegExp("(^|[\\s;|&]|[<>]\\()"+t),lookbehind:!0,alias:"constant"}},alias:"variable",lookbehind:!0},string:[{pattern:/((?:^|[^<])<<-?\s*)(\w+)\s[\s\S]*?(?:\r?\n|\r)\2/,lookbehind:!0,greedy:!0,inside:r},{pattern:/((?:^|[^<])<<-?\s*)(["'])(\w+)\2\s[\s\S]*?(?:\r?\n|\r)\3/,lookbehind:!0,greedy:!0,inside:{bash:n}},{pattern:/(^|[^\\](?:\\\\)*)"(?:\\[\s\S]|\$\([^)]+\)|\$(?!\()|`[^`]+`|[^"\\`$])*"/,lookbehind:!0,greedy:!0,inside:r},{pattern:/(^|[^$\\])'[^']*'/,lookbehind:!0,greedy:!0},{pattern:/\$'(?:[^'\\]|\\[\s\S])*'/,greedy:!0,inside:{entity:r.entity}}],environment:{pattern:RegExp("\\$?"+t),alias:"constant"},variable:r.variable,function:{pattern:/(^|[\s;|&]|[<>]\()(?:add|apropos|apt|apt-cache|apt-get|aptitude|aspell|automysqlbackup|awk|basename|bash|bc|bconsole|bg|bzip2|cal|cat|cfdisk|chgrp|chkconfig|chmod|chown|chroot|cksum|clear|cmp|column|comm|composer|cp|cron|crontab|csplit|curl|cut|date|dc|dd|ddrescue|debootstrap|df|diff|diff3|dig|dir|dircolors|dirname|dirs|dmesg|docker|docker-compose|du|egrep|eject|env|ethtool|expand|expect|expr|fdformat|fdisk|fg|fgrep|file|find|fmt|fold|format|free|fsck|ftp|fuser|gawk|git|gparted|grep|groupadd|groupdel|groupmod|groups|grub-mkconfig|gzip|halt|head|hg|history|host|hostname|htop|iconv|id|ifconfig|ifdown|ifup|import|install|ip|jobs|join|kill|killall|less|link|ln|locate|logname|logrotate|look|lpc|lpr|lprint|lprintd|lprintq|lprm|ls|lsof|lynx|make|man|mc|mdadm|mkconfig|mkdir|mke2fs|mkfifo|mkfs|mkisofs|mknod|mkswap|mmv|more|most|mount|mtools|mtr|mutt|mv|nano|nc|netstat|nice|nl|node|nohup|notify-send|npm|nslookup|op|open|parted|passwd|paste|pathchk|ping|pkill|pnpm|podman|podman-compose|popd|pr|printcap|printenv|ps|pushd|pv|quota|quotacheck|quotactl|ram|rar|rcp|reboot|remsync|rename|renice|rev|rm|rmdir|rpm|rsync|scp|screen|sdiff|sed|sendmail|seq|service|sftp|sh|shellcheck|shuf|shutdown|sleep|slocate|sort|split|ssh|stat|strace|su|sudo|sum|suspend|swapon|sync|tac|tail|tar|tee|time|timeout|top|touch|tr|traceroute|tsort|tty|umount|uname|unexpand|uniq|units|unrar|unshar|unzip|update-grub|uptime|useradd|userdel|usermod|users|uudecode|uuencode|v|vcpkg|vdir|vi|vim|virsh|vmstat|wait|watch|wc|wget|whereis|which|who|whoami|write|xargs|xdg-open|yarn|yes|zenity|zip|zsh|zypper)(?=$|[)\s;|&])/,lookbehind:!0},keyword:{pattern:/(^|[\s;|&]|[<>]\()(?:case|do|done|elif|else|esac|fi|for|function|if|in|select|then|until|while)(?=$|[)\s;|&])/,lookbehind:!0},builtin:{pattern:/(^|[\s;|&]|[<>]\()(?:\.|:|alias|bind|break|builtin|caller|cd|command|continue|declare|echo|enable|eval|exec|exit|export|getopts|hash|help|let|local|logout|mapfile|printf|pwd|read|readarray|readonly|return|set|shift|shopt|source|test|times|trap|type|typeset|ulimit|umask|unalias|unset)(?=$|[)\s;|&])/,lookbehind:!0,alias:"class-name"},boolean:{pattern:/(^|[\s;|&]|[<>]\()(?:false|true)(?=$|[)\s;|&])/,lookbehind:!0},"file-descriptor":{pattern:/\B&\d\b/,alias:"important"},operator:{pattern:/\d?<>|>\||\+=|=[=~]?|!=?|<<[<-]?|[&\d]?>>|\d[<>]&?|[<>][&=]?|&[>&]?|\|[&|]?/,inside:{"file-descriptor":{pattern:/^\d/,alias:"important"}}},punctuation:/\$?\(\(?|\)\)?|\.\.|[{}[\];\\]/,number:{pattern:/(^|\s)(?:[1-9]\d*|0)(?:[.,]\d+)?\b/,lookbehind:!0}},n.inside=e.languages.bash;for(var a=["comment","function-name","for-or-select","assign-left","string","environment","function","keyword","builtin","boolean","file-descriptor","operator","punctuation","number"],o=r.variable[1].inside,i=0;i]=?|[!=]=?=?|--?|\+\+?|&&?|\|\|?|[?*/~^%]/,punctuation:/[{}[\];(),.:]/},a.languages.c=a.languages.extend("clike",{comment:{pattern:/\/\/(?:[^\r\n\\]|\\(?:\r\n?|\n|(?![\r\n])))*|\/\*[\s\S]*?(?:\*\/|$)/,greedy:!0},string:{pattern:/"(?:\\(?:\r\n|[\s\S])|[^"\\\r\n])*"/,greedy:!0},"class-name":{pattern:/(\b(?:enum|struct)\s+(?:__attribute__\s*\(\([\s\S]*?\)\)\s*)?)\w+|\b[a-z]\w*_t\b/,lookbehind:!0},keyword:/\b(?:_Alignas|_Alignof|_Atomic|_Bool|_Complex|_Generic|_Imaginary|_Noreturn|_Static_assert|_Thread_local|__attribute__|asm|auto|break|case|char|const|continue|default|do|double|else|enum|extern|float|for|goto|if|inline|int|long|register|return|short|signed|sizeof|static|struct|switch|typedef|typeof|union|unsigned|void|volatile|while)\b/,function:/\b[a-z_]\w*(?=\s*\()/i,number:/(?:\b0x(?:[\da-f]+(?:\.[\da-f]*)?|\.[\da-f]+)(?:p[+-]?\d+)?|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:e[+-]?\d+)?)[ful]{0,4}/i,operator:/>>=?|<<=?|->|([-+&|:])\1|[?:~]|[-+*/%&|^!=<>]=?/}),a.languages.insertBefore("c","string",{char:{pattern:/'(?:\\(?:\r\n|[\s\S])|[^'\\\r\n]){0,32}'/,greedy:!0}}),a.languages.insertBefore("c","string",{macro:{pattern:/(^[\t ]*)#\s*[a-z](?:[^\r\n\\/]|\/(?!\*)|\/\*(?:[^*]|\*(?!\/))*\*\/|\\(?:\r\n|[\s\S]))*/im,lookbehind:!0,greedy:!0,alias:"property",inside:{string:[{pattern:/^(#\s*include\s*)<[^>]+>/,lookbehind:!0},a.languages.c.string],char:a.languages.c.char,comment:a.languages.c.comment,"macro-name":[{pattern:/(^#\s*define\s+)\w+\b(?!\()/i,lookbehind:!0},{pattern:/(^#\s*define\s+)\w+\b(?=\()/i,lookbehind:!0,alias:"function"}],directive:{pattern:/^(#\s*)[a-z]+/,lookbehind:!0,alias:"keyword"},"directive-hash":/^#/,punctuation:/##|\\(?=[\r\n])/,expression:{pattern:/\S[\s\S]*/,inside:a.languages.c}}}}),a.languages.insertBefore("c","function",{constant:/\b(?:EOF|NULL|SEEK_CUR|SEEK_END|SEEK_SET|__DATE__|__FILE__|__LINE__|__TIMESTAMP__|__TIME__|__func__|stderr|stdin|stdout)\b/}),delete a.languages.c.boolean,function(e){var t=/\b(?:alignas|alignof|asm|auto|bool|break|case|catch|char|char16_t|char32_t|char8_t|class|co_await|co_return|co_yield|compl|concept|const|const_cast|consteval|constexpr|constinit|continue|decltype|default|delete|do|double|dynamic_cast|else|enum|explicit|export|extern|final|float|for|friend|goto|if|import|inline|int|int16_t|int32_t|int64_t|int8_t|long|module|mutable|namespace|new|noexcept|nullptr|operator|override|private|protected|public|register|reinterpret_cast|requires|return|short|signed|sizeof|static|static_assert|static_cast|struct|switch|template|this|thread_local|throw|try|typedef|typeid|typename|uint16_t|uint32_t|uint64_t|uint8_t|union|unsigned|using|virtual|void|volatile|wchar_t|while)\b/,n=/\b(?!)\w+(?:\s*\.\s*\w+)*\b/.source.replace(//g,(function(){return t.source}));e.languages.cpp=e.languages.extend("c",{"class-name":[{pattern:RegExp(/(\b(?:class|concept|enum|struct|typename)\s+)(?!)\w+/.source.replace(//g,(function(){return t.source}))),lookbehind:!0},/\b[A-Z]\w*(?=\s*::\s*\w+\s*\()/,/\b[A-Z_]\w*(?=\s*::\s*~\w+\s*\()/i,/\b\w+(?=\s*<(?:[^<>]|<(?:[^<>]|<[^<>]*>)*>)*>\s*::\s*\w+\s*\()/],keyword:t,number:{pattern:/(?:\b0b[01']+|\b0x(?:[\da-f']+(?:\.[\da-f']*)?|\.[\da-f']+)(?:p[+-]?[\d']+)?|(?:\b[\d']+(?:\.[\d']*)?|\B\.[\d']+)(?:e[+-]?[\d']+)?)[ful]{0,4}/i,greedy:!0},operator:/>>=?|<<=?|->|--|\+\+|&&|\|\||[?:~]|<=>|[-+*/%&|^!=<>]=?|\b(?:and|and_eq|bitand|bitor|not|not_eq|or|or_eq|xor|xor_eq)\b/,boolean:/\b(?:false|true)\b/}),e.languages.insertBefore("cpp","string",{module:{pattern:RegExp(/(\b(?:import|module)\s+)/.source+"(?:"+/"(?:\\(?:\r\n|[\s\S])|[^"\\\r\n])*"|<[^<>\r\n]*>/.source+"|"+/(?:\s*:\s*)?|:\s*/.source.replace(//g,(function(){return n}))+")"),lookbehind:!0,greedy:!0,inside:{string:/^[<"][\s\S]+/,operator:/:/,punctuation:/\./}},"raw-string":{pattern:/R"([^()\\ ]{0,16})\([\s\S]*?\)\1"/,alias:"string",greedy:!0}}),e.languages.insertBefore("cpp","keyword",{"generic-function":{pattern:/\b(?!operator\b)[a-z_]\w*\s*<(?:[^<>]|<[^<>]*>)*>(?=\s*\()/i,inside:{function:/^\w+/,generic:{pattern:/<[\s\S]+/,alias:"class-name",inside:e.languages.cpp}}}}),e.languages.insertBefore("cpp","operator",{"double-colon":{pattern:/::/,alias:"punctuation"}}),e.languages.insertBefore("cpp","class-name",{"base-clause":{pattern:/(\b(?:class|struct)\s+\w+\s*:\s*)[^;{}"'\s]+(?:\s+[^;{}"'\s]+)*(?=\s*[;{])/,lookbehind:!0,greedy:!0,inside:e.languages.extend("cpp",{})}}),e.languages.insertBefore("inside","double-colon",{"class-name":/\b[a-z_]\w*\b(?!\s*::)/i},e.languages.cpp["base-clause"])}(a),function(e){var t=/(?:"(?:\\(?:\r\n|[\s\S])|[^"\\\r\n])*"|'(?:\\(?:\r\n|[\s\S])|[^'\\\r\n])*')/;e.languages.css={comment:/\/\*[\s\S]*?\*\//,atrule:{pattern:/@[\w-](?:[^;{\s]|\s+(?![\s{]))*(?:;|(?=\s*\{))/,inside:{rule:/^@[\w-]+/,"selector-function-argument":{pattern:/(\bselector\s*\(\s*(?![\s)]))(?:[^()\s]|\s+(?![\s)])|\((?:[^()]|\([^()]*\))*\))+(?=\s*\))/,lookbehind:!0,alias:"selector"},keyword:{pattern:/(^|[^\w-])(?:and|not|only|or)(?![\w-])/,lookbehind:!0}}},url:{pattern:RegExp("\\burl\\((?:"+t.source+"|"+/(?:[^\\\r\n()"']|\\[\s\S])*/.source+")\\)","i"),greedy:!0,inside:{function:/^url/i,punctuation:/^\(|\)$/,string:{pattern:RegExp("^"+t.source+"$"),alias:"url"}}},selector:{pattern:RegExp("(^|[{}\\s])[^{}\\s](?:[^{};\"'\\s]|\\s+(?![\\s{])|"+t.source+")*(?=\\s*\\{)"),lookbehind:!0},string:{pattern:t,greedy:!0},property:{pattern:/(^|[^-\w\xA0-\uFFFF])(?!\s)[-_a-z\xA0-\uFFFF](?:(?!\s)[-\w\xA0-\uFFFF])*(?=\s*:)/i,lookbehind:!0},important:/!important\b/i,function:{pattern:/(^|[^-a-z0-9])[-a-z0-9]+(?=\()/i,lookbehind:!0},punctuation:/[(){};:,]/},e.languages.css.atrule.inside.rest=e.languages.css;var n=e.languages.markup;n&&(n.tag.addInlined("style","css"),n.tag.addAttribute("style","css"))}(a),function(e){var t,n=/("|')(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1/;e.languages.css.selector={pattern:e.languages.css.selector.pattern,lookbehind:!0,inside:t={"pseudo-element":/:(?:after|before|first-letter|first-line|selection)|::[-\w]+/,"pseudo-class":/:[-\w]+/,class:/\.[-\w]+/,id:/#[-\w]+/,attribute:{pattern:RegExp("\\[(?:[^[\\]\"']|"+n.source+")*\\]"),greedy:!0,inside:{punctuation:/^\[|\]$/,"case-sensitivity":{pattern:/(\s)[si]$/i,lookbehind:!0,alias:"keyword"},namespace:{pattern:/^(\s*)(?:(?!\s)[-*\w\xA0-\uFFFF])*\|(?!=)/,lookbehind:!0,inside:{punctuation:/\|$/}},"attr-name":{pattern:/^(\s*)(?:(?!\s)[-\w\xA0-\uFFFF])+/,lookbehind:!0},"attr-value":[n,{pattern:/(=\s*)(?:(?!\s)[-\w\xA0-\uFFFF])+(?=\s*$)/,lookbehind:!0}],operator:/[|~*^$]?=/}},"n-th":[{pattern:/(\(\s*)[+-]?\d*[\dn](?:\s*[+-]\s*\d+)?(?=\s*\))/,lookbehind:!0,inside:{number:/[\dn]+/,operator:/[+-]/}},{pattern:/(\(\s*)(?:even|odd)(?=\s*\))/i,lookbehind:!0}],combinator:/>|\+|~|\|\|/,punctuation:/[(),]/}},e.languages.css.atrule.inside["selector-function-argument"].inside=t,e.languages.insertBefore("css","property",{variable:{pattern:/(^|[^-\w\xA0-\uFFFF])--(?!\s)[-_a-z\xA0-\uFFFF](?:(?!\s)[-\w\xA0-\uFFFF])*/i,lookbehind:!0}});var r={pattern:/(\b\d+)(?:%|[a-z]+(?![\w-]))/,lookbehind:!0},a={pattern:/(^|[^\w.-])-?(?:\d+(?:\.\d+)?|\.\d+)/,lookbehind:!0};e.languages.insertBefore("css","function",{operator:{pattern:/(\s)[+\-*\/](?=\s)/,lookbehind:!0},hexcode:{pattern:/\B#[\da-f]{3,8}\b/i,alias:"color"},color:[{pattern:/(^|[^\w-])(?:AliceBlue|AntiqueWhite|Aqua|Aquamarine|Azure|Beige|Bisque|Black|BlanchedAlmond|Blue|BlueViolet|Brown|BurlyWood|CadetBlue|Chartreuse|Chocolate|Coral|CornflowerBlue|Cornsilk|Crimson|Cyan|DarkBlue|DarkCyan|DarkGoldenRod|DarkGr[ae]y|DarkGreen|DarkKhaki|DarkMagenta|DarkOliveGreen|DarkOrange|DarkOrchid|DarkRed|DarkSalmon|DarkSeaGreen|DarkSlateBlue|DarkSlateGr[ae]y|DarkTurquoise|DarkViolet|DeepPink|DeepSkyBlue|DimGr[ae]y|DodgerBlue|FireBrick|FloralWhite|ForestGreen|Fuchsia|Gainsboro|GhostWhite|Gold|GoldenRod|Gr[ae]y|Green|GreenYellow|HoneyDew|HotPink|IndianRed|Indigo|Ivory|Khaki|Lavender|LavenderBlush|LawnGreen|LemonChiffon|LightBlue|LightCoral|LightCyan|LightGoldenRodYellow|LightGr[ae]y|LightGreen|LightPink|LightSalmon|LightSeaGreen|LightSkyBlue|LightSlateGr[ae]y|LightSteelBlue|LightYellow|Lime|LimeGreen|Linen|Magenta|Maroon|MediumAquaMarine|MediumBlue|MediumOrchid|MediumPurple|MediumSeaGreen|MediumSlateBlue|MediumSpringGreen|MediumTurquoise|MediumVioletRed|MidnightBlue|MintCream|MistyRose|Moccasin|NavajoWhite|Navy|OldLace|Olive|OliveDrab|Orange|OrangeRed|Orchid|PaleGoldenRod|PaleGreen|PaleTurquoise|PaleVioletRed|PapayaWhip|PeachPuff|Peru|Pink|Plum|PowderBlue|Purple|Red|RosyBrown|RoyalBlue|SaddleBrown|Salmon|SandyBrown|SeaGreen|SeaShell|Sienna|Silver|SkyBlue|SlateBlue|SlateGr[ae]y|Snow|SpringGreen|SteelBlue|Tan|Teal|Thistle|Tomato|Transparent|Turquoise|Violet|Wheat|White|WhiteSmoke|Yellow|YellowGreen)(?![\w-])/i,lookbehind:!0},{pattern:/\b(?:hsl|rgb)\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*\)\B|\b(?:hsl|rgb)a\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*,\s*(?:0|0?\.\d+|1)\s*\)\B/i,inside:{unit:r,number:a,function:/[\w-]+(?=\()/,punctuation:/[(),]/}}],entity:/\\[\da-f]{1,8}/i,unit:r,number:a})}(a),a.languages.javascript=a.languages.extend("clike",{"class-name":[a.languages.clike["class-name"],{pattern:/(^|[^$\w\xA0-\uFFFF])(?!\s)[_$A-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\.(?:constructor|prototype))/,lookbehind:!0}],keyword:[{pattern:/((?:^|\})\s*)catch\b/,lookbehind:!0},{pattern:/(^|[^.]|\.\.\.\s*)\b(?:as|assert(?=\s*\{)|async(?=\s*(?:function\b|\(|[$\w\xA0-\uFFFF]|$))|await|break|case|class|const|continue|debugger|default|delete|do|else|enum|export|extends|finally(?=\s*(?:\{|$))|for|from(?=\s*(?:['"]|$))|function|(?:get|set)(?=\s*(?:[#\[$\w\xA0-\uFFFF]|$))|if|implements|import|in|instanceof|interface|let|new|null|of|package|private|protected|public|return|static|super|switch|this|throw|try|typeof|undefined|var|void|while|with|yield)\b/,lookbehind:!0}],function:/#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*(?:\.\s*(?:apply|bind|call)\s*)?\()/,number:{pattern:RegExp(/(^|[^\w$])/.source+"(?:"+/NaN|Infinity/.source+"|"+/0[bB][01]+(?:_[01]+)*n?/.source+"|"+/0[oO][0-7]+(?:_[0-7]+)*n?/.source+"|"+/0[xX][\dA-Fa-f]+(?:_[\dA-Fa-f]+)*n?/.source+"|"+/\d+(?:_\d+)*n/.source+"|"+/(?:\d+(?:_\d+)*(?:\.(?:\d+(?:_\d+)*)?)?|\.\d+(?:_\d+)*)(?:[Ee][+-]?\d+(?:_\d+)*)?/.source+")"+/(?![\w$])/.source),lookbehind:!0},operator:/--|\+\+|\*\*=?|=>|&&=?|\|\|=?|[!=]==|<<=?|>>>?=?|[-+*/%&|^!=<>]=?|\.{3}|\?\?=?|\?\.?|[~:]/}),a.languages.javascript["class-name"][0].pattern=/(\b(?:class|extends|implements|instanceof|interface|new)\s+)[\w.\\]+/,a.languages.insertBefore("javascript","keyword",{regex:{pattern:/((?:^|[^$\w\xA0-\uFFFF."'\])\s]|\b(?:return|yield))\s*)\/(?:\[(?:[^\]\\\r\n]|\\.)*\]|\\.|[^/\\\[\r\n])+\/[dgimyus]{0,7}(?=(?:\s|\/\*(?:[^*]|\*(?!\/))*\*\/)*(?:$|[\r\n,.;:})\]]|\/\/))/,lookbehind:!0,greedy:!0,inside:{"regex-source":{pattern:/^(\/)[\s\S]+(?=\/[a-z]*$)/,lookbehind:!0,alias:"language-regex",inside:a.languages.regex},"regex-delimiter":/^\/|\/$/,"regex-flags":/^[a-z]+$/}},"function-variable":{pattern:/#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*[=:]\s*(?:async\s*)?(?:\bfunction\b|(?:\((?:[^()]|\([^()]*\))*\)|(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*)\s*=>))/,alias:"function"},parameter:[{pattern:/(function(?:\s+(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*)?\s*\(\s*)(?!\s)(?:[^()\s]|\s+(?![\s)])|\([^()]*\))+(?=\s*\))/,lookbehind:!0,inside:a.languages.javascript},{pattern:/(^|[^$\w\xA0-\uFFFF])(?!\s)[_$a-z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*=>)/i,lookbehind:!0,inside:a.languages.javascript},{pattern:/(\(\s*)(?!\s)(?:[^()\s]|\s+(?![\s)])|\([^()]*\))+(?=\s*\)\s*=>)/,lookbehind:!0,inside:a.languages.javascript},{pattern:/((?:\b|\s|^)(?!(?:as|async|await|break|case|catch|class|const|continue|debugger|default|delete|do|else|enum|export|extends|finally|for|from|function|get|if|implements|import|in|instanceof|interface|let|new|null|of|package|private|protected|public|return|set|static|super|switch|this|throw|try|typeof|undefined|var|void|while|with|yield)(?![$\w\xA0-\uFFFF]))(?:(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*\s*)\(\s*|\]\s*\(\s*)(?!\s)(?:[^()\s]|\s+(?![\s)])|\([^()]*\))+(?=\s*\)\s*\{)/,lookbehind:!0,inside:a.languages.javascript}],constant:/\b[A-Z](?:[A-Z_]|\dx?)*\b/}),a.languages.insertBefore("javascript","string",{hashbang:{pattern:/^#!.*/,greedy:!0,alias:"comment"},"template-string":{pattern:/`(?:\\[\s\S]|\$\{(?:[^{}]|\{(?:[^{}]|\{[^}]*\})*\})+\}|(?!\$\{)[^\\`])*`/,greedy:!0,inside:{"template-punctuation":{pattern:/^`|`$/,alias:"string"},interpolation:{pattern:/((?:^|[^\\])(?:\\{2})*)\$\{(?:[^{}]|\{(?:[^{}]|\{[^}]*\})*\})+\}/,lookbehind:!0,inside:{"interpolation-punctuation":{pattern:/^\$\{|\}$/,alias:"punctuation"},rest:a.languages.javascript}},string:/[\s\S]+/}},"string-property":{pattern:/((?:^|[,{])[ \t]*)(["'])(?:\\(?:\r\n|[\s\S])|(?!\2)[^\\\r\n])*\2(?=\s*:)/m,lookbehind:!0,greedy:!0,alias:"property"}}),a.languages.insertBefore("javascript","operator",{"literal-property":{pattern:/((?:^|[,{])[ \t]*)(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*(?=\s*:)/m,lookbehind:!0,alias:"property"}}),a.languages.markup&&(a.languages.markup.tag.addInlined("script","javascript"),a.languages.markup.tag.addAttribute(/on(?:abort|blur|change|click|composition(?:end|start|update)|dblclick|error|focus(?:in|out)?|key(?:down|up)|load|mouse(?:down|enter|leave|move|out|over|up)|reset|resize|scroll|select|slotchange|submit|unload|wheel)/.source,"javascript")),a.languages.js=a.languages.javascript,function(e){var t=/#(?!\{).+/,n={pattern:/#\{[^}]+\}/,alias:"variable"};e.languages.coffeescript=e.languages.extend("javascript",{comment:t,string:[{pattern:/'(?:\\[\s\S]|[^\\'])*'/,greedy:!0},{pattern:/"(?:\\[\s\S]|[^\\"])*"/,greedy:!0,inside:{interpolation:n}}],keyword:/\b(?:and|break|by|catch|class|continue|debugger|delete|do|each|else|extend|extends|false|finally|for|if|in|instanceof|is|isnt|let|loop|namespace|new|no|not|null|of|off|on|or|own|return|super|switch|then|this|throw|true|try|typeof|undefined|unless|until|when|while|window|with|yes|yield)\b/,"class-member":{pattern:/@(?!\d)\w+/,alias:"variable"}}),e.languages.insertBefore("coffeescript","comment",{"multiline-comment":{pattern:/###[\s\S]+?###/,alias:"comment"},"block-regex":{pattern:/\/{3}[\s\S]*?\/{3}/,alias:"regex",inside:{comment:t,interpolation:n}}}),e.languages.insertBefore("coffeescript","string",{"inline-javascript":{pattern:/`(?:\\[\s\S]|[^\\`])*`/,inside:{delimiter:{pattern:/^`|`$/,alias:"punctuation"},script:{pattern:/[\s\S]+/,alias:"language-javascript",inside:e.languages.javascript}}},"multiline-string":[{pattern:/'''[\s\S]*?'''/,greedy:!0,alias:"string"},{pattern:/"""[\s\S]*?"""/,greedy:!0,alias:"string",inside:{interpolation:n}}]}),e.languages.insertBefore("coffeescript","keyword",{property:/(?!\d)\w+(?=\s*:(?!:))/}),delete e.languages.coffeescript["template-string"],e.languages.coffee=e.languages.coffeescript}(a),function(e){var t=/[*&][^\s[\]{},]+/,n=/!(?:<[\w\-%#;/?:@&=+$,.!~*'()[\]]+>|(?:[a-zA-Z\d-]*!)?[\w\-%#;/?:@&=+$.~*'()]+)?/,r="(?:"+n.source+"(?:[ \t]+"+t.source+")?|"+t.source+"(?:[ \t]+"+n.source+")?)",a=/(?:[^\s\x00-\x08\x0e-\x1f!"#%&'*,\-:>?@[\]`{|}\x7f-\x84\x86-\x9f\ud800-\udfff\ufffe\uffff]|[?:-])(?:[ \t]*(?:(?![#:])|:))*/.source.replace(//g,(function(){return/[^\s\x00-\x08\x0e-\x1f,[\]{}\x7f-\x84\x86-\x9f\ud800-\udfff\ufffe\uffff]/.source})),o=/"(?:[^"\\\r\n]|\\.)*"|'(?:[^'\\\r\n]|\\.)*'/.source;function i(e,t){t=(t||"").replace(/m/g,"")+"m";var n=/([:\-,[{]\s*(?:\s<>[ \t]+)?)(?:<>)(?=[ \t]*(?:$|,|\]|\}|(?:[\r\n]\s*)?#))/.source.replace(/<>/g,(function(){return r})).replace(/<>/g,(function(){return e}));return RegExp(n,t)}e.languages.yaml={scalar:{pattern:RegExp(/([\-:]\s*(?:\s<>[ \t]+)?[|>])[ \t]*(?:((?:\r?\n|\r)[ \t]+)\S[^\r\n]*(?:\2[^\r\n]+)*)/.source.replace(/<>/g,(function(){return r}))),lookbehind:!0,alias:"string"},comment:/#.*/,key:{pattern:RegExp(/((?:^|[:\-,[{\r\n?])[ \t]*(?:<>[ \t]+)?)<>(?=\s*:\s)/.source.replace(/<>/g,(function(){return r})).replace(/<>/g,(function(){return"(?:"+a+"|"+o+")"}))),lookbehind:!0,greedy:!0,alias:"atrule"},directive:{pattern:/(^[ \t]*)%.+/m,lookbehind:!0,alias:"important"},datetime:{pattern:i(/\d{4}-\d\d?-\d\d?(?:[tT]|[ \t]+)\d\d?:\d{2}:\d{2}(?:\.\d*)?(?:[ \t]*(?:Z|[-+]\d\d?(?::\d{2})?))?|\d{4}-\d{2}-\d{2}|\d\d?:\d{2}(?::\d{2}(?:\.\d*)?)?/.source),lookbehind:!0,alias:"number"},boolean:{pattern:i(/false|true/.source,"i"),lookbehind:!0,alias:"important"},null:{pattern:i(/null|~/.source,"i"),lookbehind:!0,alias:"important"},string:{pattern:i(o),lookbehind:!0,greedy:!0},number:{pattern:i(/[+-]?(?:0x[\da-f]+|0o[0-7]+|(?:\d+(?:\.\d*)?|\.\d+)(?:e[+-]?\d+)?|\.inf|\.nan)/.source,"i"),lookbehind:!0},tag:n,important:t,punctuation:/---|[:[\]{}\-,|>?]|\.\.\./},e.languages.yml=e.languages.yaml}(a),function(e){var t=/(?:\\.|[^\\\n\r]|(?:\n|\r\n?)(?![\r\n]))/.source;function n(e){return e=e.replace(//g,(function(){return t})),RegExp(/((?:^|[^\\])(?:\\{2})*)/.source+"(?:"+e+")")}var r=/(?:\\.|``(?:[^`\r\n]|`(?!`))+``|`[^`\r\n]+`|[^\\|\r\n`])+/.source,a=/\|?__(?:\|__)+\|?(?:(?:\n|\r\n?)|(?![\s\S]))/.source.replace(/__/g,(function(){return r})),o=/\|?[ \t]*:?-{3,}:?[ \t]*(?:\|[ \t]*:?-{3,}:?[ \t]*)+\|?(?:\n|\r\n?)/.source;e.languages.markdown=e.languages.extend("markup",{}),e.languages.insertBefore("markdown","prolog",{"front-matter-block":{pattern:/(^(?:\s*[\r\n])?)---(?!.)[\s\S]*?[\r\n]---(?!.)/,lookbehind:!0,greedy:!0,inside:{punctuation:/^---|---$/,"front-matter":{pattern:/\S+(?:\s+\S+)*/,alias:["yaml","language-yaml"],inside:e.languages.yaml}}},blockquote:{pattern:/^>(?:[\t ]*>)*/m,alias:"punctuation"},table:{pattern:RegExp("^"+a+o+"(?:"+a+")*","m"),inside:{"table-data-rows":{pattern:RegExp("^("+a+o+")(?:"+a+")*$"),lookbehind:!0,inside:{"table-data":{pattern:RegExp(r),inside:e.languages.markdown},punctuation:/\|/}},"table-line":{pattern:RegExp("^("+a+")"+o+"$"),lookbehind:!0,inside:{punctuation:/\||:?-{3,}:?/}},"table-header-row":{pattern:RegExp("^"+a+"$"),inside:{"table-header":{pattern:RegExp(r),alias:"important",inside:e.languages.markdown},punctuation:/\|/}}}},code:[{pattern:/((?:^|\n)[ \t]*\n|(?:^|\r\n?)[ \t]*\r\n?)(?: {4}|\t).+(?:(?:\n|\r\n?)(?: {4}|\t).+)*/,lookbehind:!0,alias:"keyword"},{pattern:/^```[\s\S]*?^```$/m,greedy:!0,inside:{"code-block":{pattern:/^(```.*(?:\n|\r\n?))[\s\S]+?(?=(?:\n|\r\n?)^```$)/m,lookbehind:!0},"code-language":{pattern:/^(```).+/,lookbehind:!0},punctuation:/```/}}],title:[{pattern:/\S.*(?:\n|\r\n?)(?:==+|--+)(?=[ \t]*$)/m,alias:"important",inside:{punctuation:/==+$|--+$/}},{pattern:/(^\s*)#.+/m,lookbehind:!0,alias:"important",inside:{punctuation:/^#+|#+$/}}],hr:{pattern:/(^\s*)([*-])(?:[\t ]*\2){2,}(?=\s*$)/m,lookbehind:!0,alias:"punctuation"},list:{pattern:/(^\s*)(?:[*+-]|\d+\.)(?=[\t ].)/m,lookbehind:!0,alias:"punctuation"},"url-reference":{pattern:/!?\[[^\]]+\]:[\t ]+(?:\S+|<(?:\\.|[^>\\])+>)(?:[\t ]+(?:"(?:\\.|[^"\\])*"|'(?:\\.|[^'\\])*'|\((?:\\.|[^)\\])*\)))?/,inside:{variable:{pattern:/^(!?\[)[^\]]+/,lookbehind:!0},string:/(?:"(?:\\.|[^"\\])*"|'(?:\\.|[^'\\])*'|\((?:\\.|[^)\\])*\))$/,punctuation:/^[\[\]!:]|[<>]/},alias:"url"},bold:{pattern:n(/\b__(?:(?!_)|_(?:(?!_))+_)+__\b|\*\*(?:(?!\*)|\*(?:(?!\*))+\*)+\*\*/.source),lookbehind:!0,greedy:!0,inside:{content:{pattern:/(^..)[\s\S]+(?=..$)/,lookbehind:!0,inside:{}},punctuation:/\*\*|__/}},italic:{pattern:n(/\b_(?:(?!_)|__(?:(?!_))+__)+_\b|\*(?:(?!\*)|\*\*(?:(?!\*))+\*\*)+\*/.source),lookbehind:!0,greedy:!0,inside:{content:{pattern:/(^.)[\s\S]+(?=.$)/,lookbehind:!0,inside:{}},punctuation:/[*_]/}},strike:{pattern:n(/(~~?)(?:(?!~))+\2/.source),lookbehind:!0,greedy:!0,inside:{content:{pattern:/(^~~?)[\s\S]+(?=\1$)/,lookbehind:!0,inside:{}},punctuation:/~~?/}},"code-snippet":{pattern:/(^|[^\\`])(?:``[^`\r\n]+(?:`[^`\r\n]+)*``(?!`)|`[^`\r\n]+`(?!`))/,lookbehind:!0,greedy:!0,alias:["code","keyword"]},url:{pattern:n(/!?\[(?:(?!\]))+\](?:\([^\s)]+(?:[\t ]+"(?:\\.|[^"\\])*")?\)|[ \t]?\[(?:(?!\]))+\])/.source),lookbehind:!0,greedy:!0,inside:{operator:/^!/,content:{pattern:/(^\[)[^\]]+(?=\])/,lookbehind:!0,inside:{}},variable:{pattern:/(^\][ \t]?\[)[^\]]+(?=\]$)/,lookbehind:!0},url:{pattern:/(^\]\()[^\s)]+/,lookbehind:!0},string:{pattern:/(^[ \t]+)"(?:\\.|[^"\\])*"(?=\)$)/,lookbehind:!0}}}}),["url","bold","italic","strike"].forEach((function(t){["url","bold","italic","strike","code-snippet"].forEach((function(n){t!==n&&(e.languages.markdown[t].inside.content.inside[n]=e.languages.markdown[n])}))})),e.hooks.add("after-tokenize",(function(e){"markdown"!==e.language&&"md"!==e.language||function e(t){if(t&&"string"!=typeof t)for(var n=0,r=t.length;n",quot:'"'},s=String.fromCodePoint||String.fromCharCode;e.languages.md=e.languages.markdown}(a),a.languages.graphql={comment:/#.*/,description:{pattern:/(?:"""(?:[^"]|(?!""")")*"""|"(?:\\.|[^\\"\r\n])*")(?=\s*[a-z_])/i,greedy:!0,alias:"string",inside:{"language-markdown":{pattern:/(^"(?:"")?)(?!\1)[\s\S]+(?=\1$)/,lookbehind:!0,inside:a.languages.markdown}}},string:{pattern:/"""(?:[^"]|(?!""")")*"""|"(?:\\.|[^\\"\r\n])*"/,greedy:!0},number:/(?:\B-|\b)\d+(?:\.\d+)?(?:e[+-]?\d+)?\b/i,boolean:/\b(?:false|true)\b/,variable:/\$[a-z_]\w*/i,directive:{pattern:/@[a-z_]\w*/i,alias:"function"},"attr-name":{pattern:/\b[a-z_]\w*(?=\s*(?:\((?:[^()"]|"(?:\\.|[^\\"\r\n])*")*\))?:)/i,greedy:!0},"atom-input":{pattern:/\b[A-Z]\w*Input\b/,alias:"class-name"},scalar:/\b(?:Boolean|Float|ID|Int|String)\b/,constant:/\b[A-Z][A-Z_\d]*\b/,"class-name":{pattern:/(\b(?:enum|implements|interface|on|scalar|type|union)\s+|&\s*|:\s*|\[)[A-Z_]\w*/,lookbehind:!0},fragment:{pattern:/(\bfragment\s+|\.{3}\s*(?!on\b))[a-zA-Z_]\w*/,lookbehind:!0,alias:"function"},"definition-mutation":{pattern:/(\bmutation\s+)[a-zA-Z_]\w*/,lookbehind:!0,alias:"function"},"definition-query":{pattern:/(\bquery\s+)[a-zA-Z_]\w*/,lookbehind:!0,alias:"function"},keyword:/\b(?:directive|enum|extend|fragment|implements|input|interface|mutation|on|query|repeatable|scalar|schema|subscription|type|union)\b/,operator:/[!=|&]|\.{3}/,"property-query":/\w+(?=\s*\()/,object:/\w+(?=\s*\{)/,punctuation:/[!(){}\[\]:=,]/,property:/\w+/},a.hooks.add("after-tokenize",(function(e){if("graphql"===e.language)for(var t=e.tokens.filter((function(e){return"string"!=typeof e&&"comment"!==e.type&&"scalar"!==e.type})),n=0;n0)){var l=f(/^\{$/,/^\}$/);if(-1===l)continue;for(var s=n;s=0&&p(c,"variable-input")}}}}function u(e){return t[n+e]}function d(e,t){t=t||0;for(var n=0;n?|<|>)?|>[>=]?|\b(?:AND|BETWEEN|DIV|ILIKE|IN|IS|LIKE|NOT|OR|REGEXP|RLIKE|SOUNDS LIKE|XOR)\b/i,punctuation:/[;[\]()`,.]/},function(e){var t=e.languages.javascript["template-string"],n=t.pattern.source,r=t.inside.interpolation,a=r.inside["interpolation-punctuation"],o=r.pattern.source;function i(t,r){if(e.languages[t])return{pattern:RegExp("((?:"+r+")\\s*)"+n),lookbehind:!0,greedy:!0,inside:{"template-punctuation":{pattern:/^`|`$/,alias:"string"},"embedded-code":{pattern:/[\s\S]+/,alias:t}}}}function l(e,t){return"___"+t.toUpperCase()+"_"+e+"___"}function s(t,n,r){var a={code:t,grammar:n,language:r};return e.hooks.run("before-tokenize",a),a.tokens=e.tokenize(a.code,a.grammar),e.hooks.run("after-tokenize",a),a.tokens}function c(t){var n={};n["interpolation-punctuation"]=a;var o=e.tokenize(t,n);if(3===o.length){var i=[1,1];i.push.apply(i,s(o[1],e.languages.javascript,"javascript")),o.splice.apply(o,i)}return new e.Token("interpolation",o,r.alias,t)}function u(t,n,r){var a=e.tokenize(t,{interpolation:{pattern:RegExp(o),lookbehind:!0}}),i=0,u={},d=s(a.map((function(e){if("string"==typeof e)return e;for(var n,a=e.content;-1!==t.indexOf(n=l(i++,r)););return u[n]=a,n})).join(""),n,r),f=Object.keys(u);return i=0,function e(t){for(var n=0;n=f.length)return;var r=t[n];if("string"==typeof r||"string"==typeof r.content){var a=f[i],o="string"==typeof r?r:r.content,l=o.indexOf(a);if(-1!==l){++i;var s=o.substring(0,l),d=c(u[a]),p=o.substring(l+a.length),m=[];if(s&&m.push(s),m.push(d),p){var g=[p];e(g),m.push.apply(m,g)}"string"==typeof r?(t.splice.apply(t,[n,1].concat(m)),n+=m.length-1):r.content=m}}else{var h=r.content;Array.isArray(h)?e(h):e([h])}}}(d),new e.Token(r,d,"language-"+r,t)}e.languages.javascript["template-string"]=[i("css",/\b(?:styled(?:\([^)]*\))?(?:\s*\.\s*\w+(?:\([^)]*\))*)*|css(?:\s*\.\s*(?:global|resolve))?|createGlobalStyle|keyframes)/.source),i("html",/\bhtml|\.\s*(?:inner|outer)HTML\s*\+?=/.source),i("svg",/\bsvg/.source),i("markdown",/\b(?:markdown|md)/.source),i("graphql",/\b(?:gql|graphql(?:\s*\.\s*experimental)?)/.source),i("sql",/\bsql/.source),t].filter(Boolean);var d={javascript:!0,js:!0,typescript:!0,ts:!0,jsx:!0,tsx:!0};function f(e){return"string"==typeof e?e:Array.isArray(e)?e.map(f).join(""):f(e.content)}e.hooks.add("after-tokenize",(function(t){t.language in d&&function t(n){for(var r=0,a=n.length;r]|<(?:[^<>]|<[^<>]*>)*>)*>)?/,lookbehind:!0,greedy:!0,inside:null},builtin:/\b(?:Array|Function|Promise|any|boolean|console|never|number|string|symbol|unknown)\b/}),e.languages.typescript.keyword.push(/\b(?:abstract|declare|is|keyof|readonly|require)\b/,/\b(?:asserts|infer|interface|module|namespace|type)\b(?=\s*(?:[{_$a-zA-Z\xA0-\uFFFF]|$))/,/\btype\b(?=\s*(?:[\{*]|$))/),delete e.languages.typescript.parameter,delete e.languages.typescript["literal-property"];var t=e.languages.extend("typescript",{});delete t["class-name"],e.languages.typescript["class-name"].inside=t,e.languages.insertBefore("typescript","function",{decorator:{pattern:/@[$\w\xA0-\uFFFF]+/,inside:{at:{pattern:/^@/,alias:"operator"},function:/^[\s\S]+/}},"generic-function":{pattern:/#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*\s*<(?:[^<>]|<(?:[^<>]|<[^<>]*>)*>)*>(?=\s*\()/,greedy:!0,inside:{function:/^#?(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*/,generic:{pattern:/<[\s\S]+/,alias:"class-name",inside:t}}}}),e.languages.ts=e.languages.typescript}(a),function(e){function t(e,t){return RegExp(e.replace(//g,(function(){return/(?!\s)[_$a-zA-Z\xA0-\uFFFF](?:(?!\s)[$\w\xA0-\uFFFF])*/.source})),t)}e.languages.insertBefore("javascript","function-variable",{"method-variable":{pattern:RegExp("(\\.\\s*)"+e.languages.javascript["function-variable"].pattern.source),lookbehind:!0,alias:["function-variable","method","function","property-access"]}}),e.languages.insertBefore("javascript","function",{method:{pattern:RegExp("(\\.\\s*)"+e.languages.javascript.function.source),lookbehind:!0,alias:["function","property-access"]}}),e.languages.insertBefore("javascript","constant",{"known-class-name":[{pattern:/\b(?:(?:Float(?:32|64)|(?:Int|Uint)(?:8|16|32)|Uint8Clamped)?Array|ArrayBuffer|BigInt|Boolean|DataView|Date|Error|Function|Intl|JSON|(?:Weak)?(?:Map|Set)|Math|Number|Object|Promise|Proxy|Reflect|RegExp|String|Symbol|WebAssembly)\b/,alias:"class-name"},{pattern:/\b(?:[A-Z]\w*)Error\b/,alias:"class-name"}]}),e.languages.insertBefore("javascript","keyword",{imports:{pattern:t(/(\bimport\b\s*)(?:(?:\s*,\s*(?:\*\s*as\s+|\{[^{}]*\}))?|\*\s*as\s+|\{[^{}]*\})(?=\s*\bfrom\b)/.source),lookbehind:!0,inside:e.languages.javascript},exports:{pattern:t(/(\bexport\b\s*)(?:\*(?:\s*as\s+)?(?=\s*\bfrom\b)|\{[^{}]*\})/.source),lookbehind:!0,inside:e.languages.javascript}}),e.languages.javascript.keyword.unshift({pattern:/\b(?:as|default|export|from|import)\b/,alias:"module"},{pattern:/\b(?:await|break|catch|continue|do|else|finally|for|if|return|switch|throw|try|while|yield)\b/,alias:"control-flow"},{pattern:/\bnull\b/,alias:["null","nil"]},{pattern:/\bundefined\b/,alias:"nil"}),e.languages.insertBefore("javascript","operator",{spread:{pattern:/\.{3}/,alias:"operator"},arrow:{pattern:/=>/,alias:"operator"}}),e.languages.insertBefore("javascript","punctuation",{"property-access":{pattern:t(/(\.\s*)#?/.source),lookbehind:!0},"maybe-class-name":{pattern:/(^|[^$\w\xA0-\uFFFF])[A-Z][$\w\xA0-\uFFFF]+/,lookbehind:!0},dom:{pattern:/\b(?:document|(?:local|session)Storage|location|navigator|performance|window)\b/,alias:"variable"},console:{pattern:/\bconsole(?=\s*\.)/,alias:"class-name"}});for(var n=["function","function-variable","method","method-variable","property-access"],r=0;r*\.{3}(?:[^{}]|)*\})/.source;function o(e,t){return e=e.replace(//g,(function(){return n})).replace(//g,(function(){return r})).replace(//g,(function(){return a})),RegExp(e,t)}a=o(a).source,e.languages.jsx=e.languages.extend("markup",t),e.languages.jsx.tag.pattern=o(/<\/?(?:[\w.:-]+(?:+(?:[\w.:$-]+(?:=(?:"(?:\\[\s\S]|[^\\"])*"|'(?:\\[\s\S]|[^\\'])*'|[^\s{'"/>=]+|))?|))**\/?)?>/.source),e.languages.jsx.tag.inside.tag.pattern=/^<\/?[^\s>\/]*/,e.languages.jsx.tag.inside["attr-value"].pattern=/=(?!\{)(?:"(?:\\[\s\S]|[^\\"])*"|'(?:\\[\s\S]|[^\\'])*'|[^\s'">]+)/,e.languages.jsx.tag.inside.tag.inside["class-name"]=/^[A-Z]\w*(?:\.[A-Z]\w*)*$/,e.languages.jsx.tag.inside.comment=t.comment,e.languages.insertBefore("inside","attr-name",{spread:{pattern:o(//.source),inside:e.languages.jsx}},e.languages.jsx.tag),e.languages.insertBefore("inside","special-attr",{script:{pattern:o(/=/.source),alias:"language-javascript",inside:{"script-punctuation":{pattern:/^=(?=\{)/,alias:"punctuation"},rest:e.languages.jsx}}},e.languages.jsx.tag);var i=function(e){return e?"string"==typeof e?e:"string"==typeof e.content?e.content:e.content.map(i).join(""):""},l=function(t){for(var n=[],r=0;r0&&n[n.length-1].tagName===i(a.content[0].content[1])&&n.pop():"/>"===a.content[a.content.length-1].content||n.push({tagName:i(a.content[0].content[1]),openedBraces:0}):n.length>0&&"punctuation"===a.type&&"{"===a.content?n[n.length-1].openedBraces++:n.length>0&&n[n.length-1].openedBraces>0&&"punctuation"===a.type&&"}"===a.content?n[n.length-1].openedBraces--:o=!0),(o||"string"==typeof a)&&n.length>0&&0===n[n.length-1].openedBraces){var s=i(a);r0&&("string"==typeof t[r-1]||"plain-text"===t[r-1].type)&&(s=i(t[r-1])+s,t.splice(r-1,1),r--),t[r]=new e.Token("plain-text",s,null,s)}a.content&&"string"!=typeof a.content&&l(a.content)}};e.hooks.add("after-tokenize",(function(e){"jsx"!==e.language&&"tsx"!==e.language||l(e.tokens)}))}(a),function(e){e.languages.diff={coord:[/^(?:\*{3}|-{3}|\+{3}).*$/m,/^@@.*@@$/m,/^\d.*$/m]};var t={"deleted-sign":"-","deleted-arrow":"<","inserted-sign":"+","inserted-arrow":">",unchanged:" ",diff:"!"};Object.keys(t).forEach((function(n){var r=t[n],a=[];/^\w+$/.test(n)||a.push(/\w+/.exec(n)[0]),"diff"===n&&a.push("bold"),e.languages.diff[n]={pattern:RegExp("^(?:["+r+"].*(?:\r\n?|\n|(?![\\s\\S])))+","m"),alias:a,inside:{line:{pattern:/(.)(?=[\s\S]).*(?:\r\n?|\n)?/,lookbehind:!0},prefix:{pattern:/[\s\S]/,alias:/\w+/.exec(n)[0]}}}})),Object.defineProperty(e.languages.diff,"PREFIXES",{value:t})}(a),a.languages.git={comment:/^#.*/m,deleted:/^[-\u2013].*/m,inserted:/^\+.*/m,string:/("|')(?:\\.|(?!\1)[^\\\r\n])*\1/,command:{pattern:/^.*\$ git .*$/m,inside:{parameter:/\s--?\w+/}},coord:/^@@.*@@$/m,"commit-sha1":/^commit \w{40}$/m},a.languages.go=a.languages.extend("clike",{string:{pattern:/(^|[^\\])"(?:\\.|[^"\\\r\n])*"|`[^`]*`/,lookbehind:!0,greedy:!0},keyword:/\b(?:break|case|chan|const|continue|default|defer|else|fallthrough|for|func|go(?:to)?|if|import|interface|map|package|range|return|select|struct|switch|type|var)\b/,boolean:/\b(?:_|false|iota|nil|true)\b/,number:[/\b0(?:b[01_]+|o[0-7_]+)i?\b/i,/\b0x(?:[a-f\d_]+(?:\.[a-f\d_]*)?|\.[a-f\d_]+)(?:p[+-]?\d+(?:_\d+)*)?i?(?!\w)/i,/(?:\b\d[\d_]*(?:\.[\d_]*)?|\B\.\d[\d_]*)(?:e[+-]?[\d_]+)?i?(?!\w)/i],operator:/[*\/%^!=]=?|\+[=+]?|-[=-]?|\|[=|]?|&(?:=|&|\^=?)?|>(?:>=?|=)?|<(?:<=?|=|-)?|:=|\.\.\./,builtin:/\b(?:append|bool|byte|cap|close|complex|complex(?:64|128)|copy|delete|error|float(?:32|64)|u?int(?:8|16|32|64)?|imag|len|make|new|panic|print(?:ln)?|real|recover|rune|string|uintptr)\b/}),a.languages.insertBefore("go","string",{char:{pattern:/'(?:\\.|[^'\\\r\n]){0,10}'/,greedy:!0}}),delete a.languages.go["class-name"],function(e){function t(e,t){return"___"+e.toUpperCase()+t+"___"}Object.defineProperties(e.languages["markup-templating"]={},{buildPlaceholders:{value:function(n,r,a,o){if(n.language===r){var i=n.tokenStack=[];n.code=n.code.replace(a,(function(e){if("function"==typeof o&&!o(e))return e;for(var a,l=i.length;-1!==n.code.indexOf(a=t(r,l));)++l;return i[l]=e,a})),n.grammar=e.languages.markup}}},tokenizePlaceholders:{value:function(n,r){if(n.language===r&&n.tokenStack){n.grammar=e.languages[r];var a=0,o=Object.keys(n.tokenStack);!function i(l){for(var s=0;s=o.length);s++){var c=l[s];if("string"==typeof c||c.content&&"string"==typeof c.content){var u=o[a],d=n.tokenStack[u],f="string"==typeof c?c:c.content,p=t(r,u),m=f.indexOf(p);if(m>-1){++a;var g=f.substring(0,m),h=new e.Token(r,e.tokenize(d,n.grammar),"language-"+r,d),b=f.substring(m+p.length),v=[];g&&v.push.apply(v,i([g])),v.push(h),b&&v.push.apply(v,i([b])),"string"==typeof c?l.splice.apply(l,[s,1].concat(v)):c.content=v}}else c.content&&i(c.content)}return l}(n.tokens)}}}})}(a),function(e){e.languages.handlebars={comment:/\{\{![\s\S]*?\}\}/,delimiter:{pattern:/^\{\{\{?|\}\}\}?$/,alias:"punctuation"},string:/(["'])(?:\\.|(?!\1)[^\\\r\n])*\1/,number:/\b0x[\dA-Fa-f]+\b|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:[Ee][+-]?\d+)?/,boolean:/\b(?:false|true)\b/,block:{pattern:/^(\s*(?:~\s*)?)[#\/]\S+?(?=\s*(?:~\s*)?$|\s)/,lookbehind:!0,alias:"keyword"},brackets:{pattern:/\[[^\]]+\]/,inside:{punctuation:/\[|\]/,variable:/[\s\S]+/}},punctuation:/[!"#%&':()*+,.\/;<=>@\[\\\]^`{|}~]/,variable:/[^!"#%&'()*+,\/;<=>@\[\\\]^`{|}~\s]+/},e.hooks.add("before-tokenize",(function(t){e.languages["markup-templating"].buildPlaceholders(t,"handlebars",/\{\{\{[\s\S]+?\}\}\}|\{\{[\s\S]+?\}\}/g)})),e.hooks.add("after-tokenize",(function(t){e.languages["markup-templating"].tokenizePlaceholders(t,"handlebars")})),e.languages.hbs=e.languages.handlebars}(a),a.languages.json={property:{pattern:/(^|[^\\])"(?:\\.|[^\\"\r\n])*"(?=\s*:)/,lookbehind:!0,greedy:!0},string:{pattern:/(^|[^\\])"(?:\\.|[^\\"\r\n])*"(?!\s*:)/,lookbehind:!0,greedy:!0},comment:{pattern:/\/\/.*|\/\*[\s\S]*?(?:\*\/|$)/,greedy:!0},number:/-?\b\d+(?:\.\d+)?(?:e[+-]?\d+)?\b/i,punctuation:/[{}[\],]/,operator:/:/,boolean:/\b(?:false|true)\b/,null:{pattern:/\bnull\b/,alias:"keyword"}},a.languages.webmanifest=a.languages.json,a.languages.less=a.languages.extend("css",{comment:[/\/\*[\s\S]*?\*\//,{pattern:/(^|[^\\])\/\/.*/,lookbehind:!0}],atrule:{pattern:/@[\w-](?:\((?:[^(){}]|\([^(){}]*\))*\)|[^(){};\s]|\s+(?!\s))*?(?=\s*\{)/,inside:{punctuation:/[:()]/}},selector:{pattern:/(?:@\{[\w-]+\}|[^{};\s@])(?:@\{[\w-]+\}|\((?:[^(){}]|\([^(){}]*\))*\)|[^(){};@\s]|\s+(?!\s))*?(?=\s*\{)/,inside:{variable:/@+[\w-]+/}},property:/(?:@\{[\w-]+\}|[\w-])+(?:\+_?)?(?=\s*:)/,operator:/[+\-*\/]/}),a.languages.insertBefore("less","property",{variable:[{pattern:/@[\w-]+\s*:/,inside:{punctuation:/:/}},/@@?[\w-]+/],"mixin-usage":{pattern:/([{;]\s*)[.#](?!\d)[\w-].*?(?=[(;])/,lookbehind:!0,alias:"function"}}),a.languages.makefile={comment:{pattern:/(^|[^\\])#(?:\\(?:\r\n|[\s\S])|[^\\\r\n])*/,lookbehind:!0},string:{pattern:/(["'])(?:\\(?:\r\n|[\s\S])|(?!\1)[^\\\r\n])*\1/,greedy:!0},"builtin-target":{pattern:/\.[A-Z][^:#=\s]+(?=\s*:(?!=))/,alias:"builtin"},target:{pattern:/^(?:[^:=\s]|[ \t]+(?![\s:]))+(?=\s*:(?!=))/m,alias:"symbol",inside:{variable:/\$+(?:(?!\$)[^(){}:#=\s]+|(?=[({]))/}},variable:/\$+(?:(?!\$)[^(){}:#=\s]+|\([@*%<^+?][DF]\)|(?=[({]))/,keyword:/-include\b|\b(?:define|else|endef|endif|export|ifn?def|ifn?eq|include|override|private|sinclude|undefine|unexport|vpath)\b/,function:{pattern:/(\()(?:abspath|addsuffix|and|basename|call|dir|error|eval|file|filter(?:-out)?|findstring|firstword|flavor|foreach|guile|if|info|join|lastword|load|notdir|or|origin|patsubst|realpath|shell|sort|strip|subst|suffix|value|warning|wildcard|word(?:list|s)?)(?=[ \t])/,lookbehind:!0},operator:/(?:::|[?:+!])?=|[|@]/,punctuation:/[:;(){}]/},a.languages.objectivec=a.languages.extend("c",{string:{pattern:/@?"(?:\\(?:\r\n|[\s\S])|[^"\\\r\n])*"/,greedy:!0},keyword:/\b(?:asm|auto|break|case|char|const|continue|default|do|double|else|enum|extern|float|for|goto|if|in|inline|int|long|register|return|self|short|signed|sizeof|static|struct|super|switch|typedef|typeof|union|unsigned|void|volatile|while)\b|(?:@interface|@end|@implementation|@protocol|@class|@public|@protected|@private|@property|@try|@catch|@finally|@throw|@synthesize|@dynamic|@selector)\b/,operator:/-[->]?|\+\+?|!=?|<>?=?|==?|&&?|\|\|?|[~^%?*\/@]/}),delete a.languages.objectivec["class-name"],a.languages.objc=a.languages.objectivec,a.languages.ocaml={comment:{pattern:/\(\*[\s\S]*?\*\)/,greedy:!0},char:{pattern:/'(?:[^\\\r\n']|\\(?:.|[ox]?[0-9a-f]{1,3}))'/i,greedy:!0},string:[{pattern:/"(?:\\(?:[\s\S]|\r\n)|[^\\\r\n"])*"/,greedy:!0},{pattern:/\{([a-z_]*)\|[\s\S]*?\|\1\}/,greedy:!0}],number:[/\b(?:0b[01][01_]*|0o[0-7][0-7_]*)\b/i,/\b0x[a-f0-9][a-f0-9_]*(?:\.[a-f0-9_]*)?(?:p[+-]?\d[\d_]*)?(?!\w)/i,/\b\d[\d_]*(?:\.[\d_]*)?(?:e[+-]?\d[\d_]*)?(?!\w)/i],directive:{pattern:/\B#\w+/,alias:"property"},label:{pattern:/\B~\w+/,alias:"property"},"type-variable":{pattern:/\B'\w+/,alias:"function"},variant:{pattern:/`\w+/,alias:"symbol"},keyword:/\b(?:as|assert|begin|class|constraint|do|done|downto|else|end|exception|external|for|fun|function|functor|if|in|include|inherit|initializer|lazy|let|match|method|module|mutable|new|nonrec|object|of|open|private|rec|sig|struct|then|to|try|type|val|value|virtual|when|where|while|with)\b/,boolean:/\b(?:false|true)\b/,"operator-like-punctuation":{pattern:/\[[<>|]|[>|]\]|\{<|>\}/,alias:"punctuation"},operator:/\.[.~]|:[=>]|[=<>@^|&+\-*\/$%!?~][!$%&*+\-.\/:<=>?@^|~]*|\b(?:and|asr|land|lor|lsl|lsr|lxor|mod|or)\b/,punctuation:/;;|::|[(){}\[\].,:;#]|\b_\b/},a.languages.python={comment:{pattern:/(^|[^\\])#.*/,lookbehind:!0,greedy:!0},"string-interpolation":{pattern:/(?:f|fr|rf)(?:("""|''')[\s\S]*?\1|("|')(?:\\.|(?!\2)[^\\\r\n])*\2)/i,greedy:!0,inside:{interpolation:{pattern:/((?:^|[^{])(?:\{\{)*)\{(?!\{)(?:[^{}]|\{(?!\{)(?:[^{}]|\{(?!\{)(?:[^{}])+\})+\})+\}/,lookbehind:!0,inside:{"format-spec":{pattern:/(:)[^:(){}]+(?=\}$)/,lookbehind:!0},"conversion-option":{pattern:/![sra](?=[:}]$)/,alias:"punctuation"},rest:null}},string:/[\s\S]+/}},"triple-quoted-string":{pattern:/(?:[rub]|br|rb)?("""|''')[\s\S]*?\1/i,greedy:!0,alias:"string"},string:{pattern:/(?:[rub]|br|rb)?("|')(?:\\.|(?!\1)[^\\\r\n])*\1/i,greedy:!0},function:{pattern:/((?:^|\s)def[ \t]+)[a-zA-Z_]\w*(?=\s*\()/g,lookbehind:!0},"class-name":{pattern:/(\bclass\s+)\w+/i,lookbehind:!0},decorator:{pattern:/(^[\t ]*)@\w+(?:\.\w+)*/m,lookbehind:!0,alias:["annotation","punctuation"],inside:{punctuation:/\./}},keyword:/\b(?:_(?=\s*:)|and|as|assert|async|await|break|case|class|continue|def|del|elif|else|except|exec|finally|for|from|global|if|import|in|is|lambda|match|nonlocal|not|or|pass|print|raise|return|try|while|with|yield)\b/,builtin:/\b(?:__import__|abs|all|any|apply|ascii|basestring|bin|bool|buffer|bytearray|bytes|callable|chr|classmethod|cmp|coerce|compile|complex|delattr|dict|dir|divmod|enumerate|eval|execfile|file|filter|float|format|frozenset|getattr|globals|hasattr|hash|help|hex|id|input|int|intern|isinstance|issubclass|iter|len|list|locals|long|map|max|memoryview|min|next|object|oct|open|ord|pow|property|range|raw_input|reduce|reload|repr|reversed|round|set|setattr|slice|sorted|staticmethod|str|sum|super|tuple|type|unichr|unicode|vars|xrange|zip)\b/,boolean:/\b(?:False|None|True)\b/,number:/\b0(?:b(?:_?[01])+|o(?:_?[0-7])+|x(?:_?[a-f0-9])+)\b|(?:\b\d+(?:_\d+)*(?:\.(?:\d+(?:_\d+)*)?)?|\B\.\d+(?:_\d+)*)(?:e[+-]?\d+(?:_\d+)*)?j?(?!\w)/i,operator:/[-+%=]=?|!=|:=|\*\*?=?|\/\/?=?|<[<=>]?|>[=>]?|[&|^~]/,punctuation:/[{}[\];(),.:]/},a.languages.python["string-interpolation"].inside.interpolation.inside.rest=a.languages.python,a.languages.py=a.languages.python,a.languages.reason=a.languages.extend("clike",{string:{pattern:/"(?:\\(?:\r\n|[\s\S])|[^\\\r\n"])*"/,greedy:!0},"class-name":/\b[A-Z]\w*/,keyword:/\b(?:and|as|assert|begin|class|constraint|do|done|downto|else|end|exception|external|for|fun|function|functor|if|in|include|inherit|initializer|lazy|let|method|module|mutable|new|nonrec|object|of|open|or|private|rec|sig|struct|switch|then|to|try|type|val|virtual|when|while|with)\b/,operator:/\.{3}|:[:=]|\|>|->|=(?:==?|>)?|<=?|>=?|[|^?'#!~`]|[+\-*\/]\.?|\b(?:asr|land|lor|lsl|lsr|lxor|mod)\b/}),a.languages.insertBefore("reason","class-name",{char:{pattern:/'(?:\\x[\da-f]{2}|\\o[0-3][0-7][0-7]|\\\d{3}|\\.|[^'\\\r\n])'/,greedy:!0},constructor:/\b[A-Z]\w*\b(?!\s*\.)/,label:{pattern:/\b[a-z]\w*(?=::)/,alias:"symbol"}}),delete a.languages.reason.function,function(e){e.languages.sass=e.languages.extend("css",{comment:{pattern:/^([ \t]*)\/[\/*].*(?:(?:\r?\n|\r)\1[ \t].+)*/m,lookbehind:!0,greedy:!0}}),e.languages.insertBefore("sass","atrule",{"atrule-line":{pattern:/^(?:[ \t]*)[@+=].+/m,greedy:!0,inside:{atrule:/(?:@[\w-]+|[+=])/}}}),delete e.languages.sass.atrule;var t=/\$[-\w]+|#\{\$[-\w]+\}/,n=[/[+*\/%]|[=!]=|<=?|>=?|\b(?:and|not|or)\b/,{pattern:/(\s)-(?=\s)/,lookbehind:!0}];e.languages.insertBefore("sass","property",{"variable-line":{pattern:/^[ \t]*\$.+/m,greedy:!0,inside:{punctuation:/:/,variable:t,operator:n}},"property-line":{pattern:/^[ \t]*(?:[^:\s]+ *:.*|:[^:\s].*)/m,greedy:!0,inside:{property:[/[^:\s]+(?=\s*:)/,{pattern:/(:)[^:\s]+/,lookbehind:!0}],punctuation:/:/,variable:t,operator:n,important:e.languages.sass.important}}}),delete e.languages.sass.property,delete e.languages.sass.important,e.languages.insertBefore("sass","punctuation",{selector:{pattern:/^([ \t]*)\S(?:,[^,\r\n]+|[^,\r\n]*)(?:,[^,\r\n]+)*(?:,(?:\r?\n|\r)\1[ \t]+\S(?:,[^,\r\n]+|[^,\r\n]*)(?:,[^,\r\n]+)*)*/m,lookbehind:!0,greedy:!0}})}(a),a.languages.scss=a.languages.extend("css",{comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|\/\/.*)/,lookbehind:!0},atrule:{pattern:/@[\w-](?:\([^()]+\)|[^()\s]|\s+(?!\s))*?(?=\s+[{;])/,inside:{rule:/@[\w-]+/}},url:/(?:[-a-z]+-)?url(?=\()/i,selector:{pattern:/(?=\S)[^@;{}()]?(?:[^@;{}()\s]|\s+(?!\s)|#\{\$[-\w]+\})+(?=\s*\{(?:\}|\s|[^}][^:{}]*[:{][^}]))/,inside:{parent:{pattern:/&/,alias:"important"},placeholder:/%[-\w]+/,variable:/\$[-\w]+|#\{\$[-\w]+\}/}},property:{pattern:/(?:[-\w]|\$[-\w]|#\{\$[-\w]+\})+(?=\s*:)/,inside:{variable:/\$[-\w]+|#\{\$[-\w]+\}/}}}),a.languages.insertBefore("scss","atrule",{keyword:[/@(?:content|debug|each|else(?: if)?|extend|for|forward|function|if|import|include|mixin|return|use|warn|while)\b/i,{pattern:/( )(?:from|through)(?= )/,lookbehind:!0}]}),a.languages.insertBefore("scss","important",{variable:/\$[-\w]+|#\{\$[-\w]+\}/}),a.languages.insertBefore("scss","function",{"module-modifier":{pattern:/\b(?:as|hide|show|with)\b/i,alias:"keyword"},placeholder:{pattern:/%[-\w]+/,alias:"selector"},statement:{pattern:/\B!(?:default|optional)\b/i,alias:"keyword"},boolean:/\b(?:false|true)\b/,null:{pattern:/\bnull\b/,alias:"keyword"},operator:{pattern:/(\s)(?:[-+*\/%]|[=!]=|<=?|>=?|and|not|or)(?=\s)/,lookbehind:!0}}),a.languages.scss.atrule.inside.rest=a.languages.scss,function(e){var t={pattern:/(\b\d+)(?:%|[a-z]+)/,lookbehind:!0},n={pattern:/(^|[^\w.-])-?(?:\d+(?:\.\d+)?|\.\d+)/,lookbehind:!0},r={comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|\/\/.*)/,lookbehind:!0},url:{pattern:/\burl\((["']?).*?\1\)/i,greedy:!0},string:{pattern:/("|')(?:(?!\1)[^\\\r\n]|\\(?:\r\n|[\s\S]))*\1/,greedy:!0},interpolation:null,func:null,important:/\B!(?:important|optional)\b/i,keyword:{pattern:/(^|\s+)(?:(?:else|for|if|return|unless)(?=\s|$)|@[\w-]+)/,lookbehind:!0},hexcode:/#[\da-f]{3,6}/i,color:[/\b(?:AliceBlue|AntiqueWhite|Aqua|Aquamarine|Azure|Beige|Bisque|Black|BlanchedAlmond|Blue|BlueViolet|Brown|BurlyWood|CadetBlue|Chartreuse|Chocolate|Coral|CornflowerBlue|Cornsilk|Crimson|Cyan|DarkBlue|DarkCyan|DarkGoldenRod|DarkGr[ae]y|DarkGreen|DarkKhaki|DarkMagenta|DarkOliveGreen|DarkOrange|DarkOrchid|DarkRed|DarkSalmon|DarkSeaGreen|DarkSlateBlue|DarkSlateGr[ae]y|DarkTurquoise|DarkViolet|DeepPink|DeepSkyBlue|DimGr[ae]y|DodgerBlue|FireBrick|FloralWhite|ForestGreen|Fuchsia|Gainsboro|GhostWhite|Gold|GoldenRod|Gr[ae]y|Green|GreenYellow|HoneyDew|HotPink|IndianRed|Indigo|Ivory|Khaki|Lavender|LavenderBlush|LawnGreen|LemonChiffon|LightBlue|LightCoral|LightCyan|LightGoldenRodYellow|LightGr[ae]y|LightGreen|LightPink|LightSalmon|LightSeaGreen|LightSkyBlue|LightSlateGr[ae]y|LightSteelBlue|LightYellow|Lime|LimeGreen|Linen|Magenta|Maroon|MediumAquaMarine|MediumBlue|MediumOrchid|MediumPurple|MediumSeaGreen|MediumSlateBlue|MediumSpringGreen|MediumTurquoise|MediumVioletRed|MidnightBlue|MintCream|MistyRose|Moccasin|NavajoWhite|Navy|OldLace|Olive|OliveDrab|Orange|OrangeRed|Orchid|PaleGoldenRod|PaleGreen|PaleTurquoise|PaleVioletRed|PapayaWhip|PeachPuff|Peru|Pink|Plum|PowderBlue|Purple|Red|RosyBrown|RoyalBlue|SaddleBrown|Salmon|SandyBrown|SeaGreen|SeaShell|Sienna|Silver|SkyBlue|SlateBlue|SlateGr[ae]y|Snow|SpringGreen|SteelBlue|Tan|Teal|Thistle|Tomato|Transparent|Turquoise|Violet|Wheat|White|WhiteSmoke|Yellow|YellowGreen)\b/i,{pattern:/\b(?:hsl|rgb)\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*\)\B|\b(?:hsl|rgb)a\(\s*\d{1,3}\s*,\s*\d{1,3}%?\s*,\s*\d{1,3}%?\s*,\s*(?:0|0?\.\d+|1)\s*\)\B/i,inside:{unit:t,number:n,function:/[\w-]+(?=\()/,punctuation:/[(),]/}}],entity:/\\[\da-f]{1,8}/i,unit:t,boolean:/\b(?:false|true)\b/,operator:[/~|[+!\/%<>?=]=?|[-:]=|\*[*=]?|\.{2,3}|&&|\|\||\B-\B|\b(?:and|in|is(?: a| defined| not|nt)?|not|or)\b/],number:n,punctuation:/[{}()\[\];:,]/};r.interpolation={pattern:/\{[^\r\n}:]+\}/,alias:"variable",inside:{delimiter:{pattern:/^\{|\}$/,alias:"punctuation"},rest:r}},r.func={pattern:/[\w-]+\([^)]*\).*/,inside:{function:/^[^(]+/,rest:r}},e.languages.stylus={"atrule-declaration":{pattern:/(^[ \t]*)@.+/m,lookbehind:!0,inside:{atrule:/^@[\w-]+/,rest:r}},"variable-declaration":{pattern:/(^[ \t]*)[\w$-]+\s*.?=[ \t]*(?:\{[^{}]*\}|\S.*|$)/m,lookbehind:!0,inside:{variable:/^\S+/,rest:r}},statement:{pattern:/(^[ \t]*)(?:else|for|if|return|unless)[ \t].+/m,lookbehind:!0,inside:{keyword:/^\S+/,rest:r}},"property-declaration":{pattern:/((?:^|\{)([ \t]*))(?:[\w-]|\{[^}\r\n]+\})+(?:\s*:\s*|[ \t]+)(?!\s)[^{\r\n]*(?:;|[^{\r\n,]$(?!(?:\r?\n|\r)(?:\{|\2[ \t])))/m,lookbehind:!0,inside:{property:{pattern:/^[^\s:]+/,inside:{interpolation:r.interpolation}},rest:r}},selector:{pattern:/(^[ \t]*)(?:(?=\S)(?:[^{}\r\n:()]|::?[\w-]+(?:\([^)\r\n]*\)|(?![\w-]))|\{[^}\r\n]+\})+)(?:(?:\r?\n|\r)(?:\1(?:(?=\S)(?:[^{}\r\n:()]|::?[\w-]+(?:\([^)\r\n]*\)|(?![\w-]))|\{[^}\r\n]+\})+)))*(?:,$|\{|(?=(?:\r?\n|\r)(?:\{|\1[ \t])))/m,lookbehind:!0,inside:{interpolation:r.interpolation,comment:r.comment,punctuation:/[{},]/}},func:r.func,string:r.string,comment:{pattern:/(^|[^\\])(?:\/\*[\s\S]*?\*\/|\/\/.*)/,lookbehind:!0,greedy:!0},interpolation:r.interpolation,punctuation:/[{}()\[\];:.]/}}(a),function(e){var t=e.util.clone(e.languages.typescript);e.languages.tsx=e.languages.extend("jsx",t),delete e.languages.tsx.parameter,delete e.languages.tsx["literal-property"];var n=e.languages.tsx.tag;n.pattern=RegExp(/(^|[^\w$]|(?=<\/))/.source+"(?:"+n.pattern.source+")",n.pattern.flags),n.lookbehind=!0}(a),a.languages.wasm={comment:[/\(;[\s\S]*?;\)/,{pattern:/;;.*/,greedy:!0}],string:{pattern:/"(?:\\[\s\S]|[^"\\])*"/,greedy:!0},keyword:[{pattern:/\b(?:align|offset)=/,inside:{operator:/=/}},{pattern:/\b(?:(?:f32|f64|i32|i64)(?:\.(?:abs|add|and|ceil|clz|const|convert_[su]\/i(?:32|64)|copysign|ctz|demote\/f64|div(?:_[su])?|eqz?|extend_[su]\/i32|floor|ge(?:_[su])?|gt(?:_[su])?|le(?:_[su])?|load(?:(?:8|16|32)_[su])?|lt(?:_[su])?|max|min|mul|neg?|nearest|or|popcnt|promote\/f32|reinterpret\/[fi](?:32|64)|rem_[su]|rot[lr]|shl|shr_[su]|sqrt|store(?:8|16|32)?|sub|trunc(?:_[su]\/f(?:32|64))?|wrap\/i64|xor))?|memory\.(?:grow|size))\b/,inside:{punctuation:/\./}},/\b(?:anyfunc|block|br(?:_if|_table)?|call(?:_indirect)?|data|drop|elem|else|end|export|func|get_(?:global|local)|global|if|import|local|loop|memory|module|mut|nop|offset|param|result|return|select|set_(?:global|local)|start|table|tee_local|then|type|unreachable)\b/],variable:/\$[\w!#$%&'*+\-./:<=>?@\\^`|~]+/,number:/[+-]?\b(?:\d(?:_?\d)*(?:\.\d(?:_?\d)*)?(?:[eE][+-]?\d(?:_?\d)*)?|0x[\da-fA-F](?:_?[\da-fA-F])*(?:\.[\da-fA-F](?:_?[\da-fA-D])*)?(?:[pP][+-]?\d(?:_?\d)*)?)\b|\binf\b|\bnan(?::0x[\da-fA-F](?:_?[\da-fA-D])*)?\b/,punctuation:/[()]/};const o=a},5795:()=>{Prism.languages.ada={comment:/--.*/,string:/"(?:""|[^"\r\f\n])*"/,number:[{pattern:/\b\d(?:_?\d)*#[\dA-F](?:_?[\dA-F])*(?:\.[\dA-F](?:_?[\dA-F])*)?#(?:E[+-]?\d(?:_?\d)*)?/i},{pattern:/\b\d(?:_?\d)*(?:\.\d(?:_?\d)*)?(?:E[+-]?\d(?:_?\d)*)?\b/i}],attribute:{pattern:/\b'\w+/,alias:"attr-name"},keyword:/\b(?:abort|abs|abstract|accept|access|aliased|all|and|array|at|begin|body|case|constant|declare|delay|delta|digits|do|else|elsif|end|entry|exception|exit|for|function|generic|goto|if|in|interface|is|limited|loop|mod|new|not|null|of|or|others|out|overriding|package|pragma|private|procedure|protected|raise|range|record|rem|renames|requeue|return|reverse|select|separate|some|subtype|synchronized|tagged|task|terminate|then|type|until|use|when|while|with|xor)\b/i,boolean:/\b(?:false|true)\b/i,operator:/<[=>]?|>=?|=>?|:=|\/=?|\*\*?|[&+-]/,punctuation:/\.\.?|[,;():]/,char:/'.'/,variable:/\b[a-z](?:\w)*\b/i}},7874:()=>{!function(e){var t="\\b(?:BASH|BASHOPTS|BASH_ALIASES|BASH_ARGC|BASH_ARGV|BASH_CMDS|BASH_COMPLETION_COMPAT_DIR|BASH_LINENO|BASH_REMATCH|BASH_SOURCE|BASH_VERSINFO|BASH_VERSION|COLORTERM|COLUMNS|COMP_WORDBREAKS|DBUS_SESSION_BUS_ADDRESS|DEFAULTS_PATH|DESKTOP_SESSION|DIRSTACK|DISPLAY|EUID|GDMSESSION|GDM_LANG|GNOME_KEYRING_CONTROL|GNOME_KEYRING_PID|GPG_AGENT_INFO|GROUPS|HISTCONTROL|HISTFILE|HISTFILESIZE|HISTSIZE|HOME|HOSTNAME|HOSTTYPE|IFS|INSTANCE|JOB|LANG|LANGUAGE|LC_ADDRESS|LC_ALL|LC_IDENTIFICATION|LC_MEASUREMENT|LC_MONETARY|LC_NAME|LC_NUMERIC|LC_PAPER|LC_TELEPHONE|LC_TIME|LESSCLOSE|LESSOPEN|LINES|LOGNAME|LS_COLORS|MACHTYPE|MAILCHECK|MANDATORY_PATH|NO_AT_BRIDGE|OLDPWD|OPTERR|OPTIND|ORBIT_SOCKETDIR|OSTYPE|PAPERSIZE|PATH|PIPESTATUS|PPID|PS1|PS2|PS3|PS4|PWD|RANDOM|REPLY|SECONDS|SELINUX_INIT|SESSION|SESSIONTYPE|SESSION_MANAGER|SHELL|SHELLOPTS|SHLVL|SSH_AUTH_SOCK|TERM|UID|UPSTART_EVENTS|UPSTART_INSTANCE|UPSTART_JOB|UPSTART_SESSION|USER|WINDOWID|XAUTHORITY|XDG_CONFIG_DIRS|XDG_CURRENT_DESKTOP|XDG_DATA_DIRS|XDG_GREETER_DATA_DIR|XDG_MENU_PREFIX|XDG_RUNTIME_DIR|XDG_SEAT|XDG_SEAT_PATH|XDG_SESSION_DESKTOP|XDG_SESSION_ID|XDG_SESSION_PATH|XDG_SESSION_TYPE|XDG_VTNR|XMODIFIERS)\\b",n={pattern:/(^(["']?)\w+\2)[ \t]+\S.*/,lookbehind:!0,alias:"punctuation",inside:null},r={bash:n,environment:{pattern:RegExp("\\$"+t),alias:"constant"},variable:[{pattern:/\$?\(\([\s\S]+?\)\)/,greedy:!0,inside:{variable:[{pattern:/(^\$\(\([\s\S]+)\)\)/,lookbehind:!0},/^\$\(\(/],number:/\b0x[\dA-Fa-f]+\b|(?:\b\d+(?:\.\d*)?|\B\.\d+)(?:[Ee]-?\d+)?/,operator:/--|\+\+|\*\*=?|<<=?|>>=?|&&|\|\||[=!+\-*/%<>^&|]=?|[?~:]/,punctuation:/\(\(?|\)\)?|,|;/}},{pattern:/\$\((?:\([^)]+\)|[^()])+\)|`[^`]+`/,greedy:!0,inside:{variable:/^\$\(|^`|\)$|`$/}},{pattern:/\$\{[^}]+\}/,greedy:!0,inside:{operator:/:[-=?+]?|[!\/]|##?|%%?|\^\^?|,,?/,punctuation:/[\[\]]/,environment:{pattern:RegExp("(\\{)"+t),lookbehind:!0,alias:"constant"}}},/\$(?:\w+|[#?*!@$])/],entity:/\\(?:[abceEfnrtv\\"]|O?[0-7]{1,3}|U[0-9a-fA-F]{8}|u[0-9a-fA-F]{4}|x[0-9a-fA-F]{1,2})/};e.languages.bash={shebang:{pattern:/^#!\s*\/.*/,alias:"important"},comment:{pattern:/(^|[^"{\\$])#.*/,lookbehind:!0},"function-name":[{pattern:/(\bfunction\s+)[\w-]+(?=(?:\s*\(?:\s*\))?\s*\{)/,lookbehind:!0,alias:"function"},{pattern:/\b[\w-]+(?=\s*\(\s*\)\s*\{)/,alias:"function"}],"for-or-select":{pattern:/(\b(?:for|select)\s+)\w+(?=\s+in\s)/,alias:"variable",lookbehind:!0},"assign-left":{pattern:/(^|[\s;|&]|[<>]\()\w+(?:\.\w+)*(?=\+?=)/,inside:{environment:{pattern:RegExp("(^|[\\s;|&]|[<>]\\()"+t),lookbehind:!0,alias:"constant"}},alias:"variable",lookbehind:!0},parameter:{pattern:/(^|\s)-{1,2}(?:\w+:[+-]?)?\w+(?:\.\w+)*(?=[=\s]|$)/,alias:"variable",lookbehind:!0},string:[{pattern:/((?:^|[^<])<<-?\s*)(\w+)\s[\s\S]*?(?:\r?\n|\r)\2/,lookbehind:!0,greedy:!0,inside:r},{pattern:/((?:^|[^<])<<-?\s*)(["'])(\w+)\2\s[\s\S]*?(?:\r?\n|\r)\3/,lookbehind:!0,greedy:!0,inside:{bash:n}},{pattern:/(^|[^\\](?:\\\\)*)"(?:\\[\s\S]|\$\([^)]+\)|\$(?!\()|`[^`]+`|[^"\\`$])*"/,lookbehind:!0,greedy:!0,inside:r},{pattern:/(^|[^$\\])'[^']*'/,lookbehind:!0,greedy:!0},{pattern:/\$'(?:[^'\\]|\\[\s\S])*'/,greedy:!0,inside:{entity:r.entity}}],environment:{pattern:RegExp("\\$?"+t),alias:"constant"},variable:r.variable,function:{pattern:/(^|[\s;|&]|[<>]\()(?:add|apropos|apt|apt-cache|apt-get|aptitude|aspell|automysqlbackup|awk|basename|bash|bc|bconsole|bg|bzip2|cal|cargo|cat|cfdisk|chgrp|chkconfig|chmod|chown|chroot|cksum|clear|cmp|column|comm|composer|cp|cron|crontab|csplit|curl|cut|date|dc|dd|ddrescue|debootstrap|df|diff|diff3|dig|dir|dircolors|dirname|dirs|dmesg|docker|docker-compose|du|egrep|eject|env|ethtool|expand|expect|expr|fdformat|fdisk|fg|fgrep|file|find|fmt|fold|format|free|fsck|ftp|fuser|gawk|git|gparted|grep|groupadd|groupdel|groupmod|groups|grub-mkconfig|gzip|halt|head|hg|history|host|hostname|htop|iconv|id|ifconfig|ifdown|ifup|import|install|ip|java|jobs|join|kill|killall|less|link|ln|locate|logname|logrotate|look|lpc|lpr|lprint|lprintd|lprintq|lprm|ls|lsof|lynx|make|man|mc|mdadm|mkconfig|mkdir|mke2fs|mkfifo|mkfs|mkisofs|mknod|mkswap|mmv|more|most|mount|mtools|mtr|mutt|mv|nano|nc|netstat|nice|nl|node|nohup|notify-send|npm|nslookup|op|open|parted|passwd|paste|pathchk|ping|pkill|pnpm|podman|podman-compose|popd|pr|printcap|printenv|ps|pushd|pv|quota|quotacheck|quotactl|ram|rar|rcp|reboot|remsync|rename|renice|rev|rm|rmdir|rpm|rsync|scp|screen|sdiff|sed|sendmail|seq|service|sftp|sh|shellcheck|shuf|shutdown|sleep|slocate|sort|split|ssh|stat|strace|su|sudo|sum|suspend|swapon|sync|sysctl|tac|tail|tar|tee|time|timeout|top|touch|tr|traceroute|tsort|tty|umount|uname|unexpand|uniq|units|unrar|unshar|unzip|update-grub|uptime|useradd|userdel|usermod|users|uudecode|uuencode|v|vcpkg|vdir|vi|vim|virsh|vmstat|wait|watch|wc|wget|whereis|which|who|whoami|write|xargs|xdg-open|yarn|yes|zenity|zip|zsh|zypper)(?=$|[)\s;|&])/,lookbehind:!0},keyword:{pattern:/(^|[\s;|&]|[<>]\()(?:case|do|done|elif|else|esac|fi|for|function|if|in|select|then|until|while)(?=$|[)\s;|&])/,lookbehind:!0},builtin:{pattern:/(^|[\s;|&]|[<>]\()(?:\.|:|alias|bind|break|builtin|caller|cd|command|continue|declare|echo|enable|eval|exec|exit|export|getopts|hash|help|let|local|logout|mapfile|printf|pwd|read|readarray|readonly|return|set|shift|shopt|source|test|times|trap|type|typeset|ulimit|umask|unalias|unset)(?=$|[)\s;|&])/,lookbehind:!0,alias:"class-name"},boolean:{pattern:/(^|[\s;|&]|[<>]\()(?:false|true)(?=$|[)\s;|&])/,lookbehind:!0},"file-descriptor":{pattern:/\B&\d\b/,alias:"important"},operator:{pattern:/\d?<>|>\||\+=|=[=~]?|!=?|<<[<-]?|[&\d]?>>|\d[<>]&?|[<>][&=]?|&[>&]?|\|[&|]?/,inside:{"file-descriptor":{pattern:/^\d/,alias:"important"}}},punctuation:/\$?\(\(?|\)\)?|\.\.|[{}[\];\\]/,number:{pattern:/(^|\s)(?:[1-9]\d*|0)(?:[.,]\d+)?\b/,lookbehind:!0}},n.inside=e.languages.bash;for(var a=["comment","function-name","for-or-select","assign-left","parameter","string","environment","function","keyword","builtin","boolean","file-descriptor","operator","punctuation","number"],o=r.variable[1].inside,i=0;i{!function(e){function t(e,t){return e.replace(/<<(\d+)>>/g,(function(e,n){return"(?:"+t[+n]+")"}))}function n(e,n,r){return RegExp(t(e,n),r||"")}function r(e,t){for(var n=0;n>/g,(function(){return"(?:"+e+")"}));return e.replace(/<>/g,"[^\\s\\S]")}var a="bool byte char decimal double dynamic float int long object sbyte short string uint ulong ushort var void",o="class enum interface record struct",i="add alias and ascending async await by descending from(?=\\s*(?:\\w|$)) get global group into init(?=\\s*;) join let nameof not notnull on or orderby partial remove select set unmanaged value when where with(?=\\s*{)",l="abstract as base break case catch checked const continue default delegate do else event explicit extern finally fixed for foreach goto if implicit in internal is lock namespace new null operator out override params private protected public readonly ref return sealed sizeof stackalloc static switch this throw try typeof unchecked unsafe using virtual volatile while yield";function s(e){return"\\b(?:"+e.trim().replace(/ /g,"|")+")\\b"}var c=s(o),u=RegExp(s(a+" "+o+" "+i+" "+l)),d=s(o+" "+i+" "+l),f=s(a+" "+o+" "+l),p=r(/<(?:[^<>;=+\-*/%&|^]|<>)*>/.source,2),m=r(/\((?:[^()]|<>)*\)/.source,2),g=/@?\b[A-Za-z_]\w*\b/.source,h=t(/<<0>>(?:\s*<<1>>)?/.source,[g,p]),b=t(/(?!<<0>>)<<1>>(?:\s*\.\s*<<1>>)*/.source,[d,h]),v=/\[\s*(?:,\s*)*\]/.source,y=t(/<<0>>(?:\s*(?:\?\s*)?<<1>>)*(?:\s*\?)?/.source,[b,v]),w=t(/[^,()<>[\];=+\-*/%&|^]|<<0>>|<<1>>|<<2>>/.source,[p,m,v]),k=t(/\(<<0>>+(?:,<<0>>+)+\)/.source,[w]),E=t(/(?:<<0>>|<<1>>)(?:\s*(?:\?\s*)?<<2>>)*(?:\s*\?)?/.source,[k,b,v]),S={keyword:u,punctuation:/[<>()?,.:[\]]/},_=/'(?:[^\r\n'\\]|\\.|\\[Uux][\da-fA-F]{1,8})'/.source,x=/"(?:\\.|[^\\"\r\n])*"/.source,T=/@"(?:""|\\[\s\S]|[^\\"])*"(?!")/.source;e.languages.csharp=e.languages.extend("clike",{string:[{pattern:n(/(^|[^$\\])<<0>>/.source,[T]),lookbehind:!0,greedy:!0},{pattern:n(/(^|[^@$\\])<<0>>/.source,[x]),lookbehind:!0,greedy:!0}],"class-name":[{pattern:n(/(\busing\s+static\s+)<<0>>(?=\s*;)/.source,[b]),lookbehind:!0,inside:S},{pattern:n(/(\busing\s+<<0>>\s*=\s*)<<1>>(?=\s*;)/.source,[g,E]),lookbehind:!0,inside:S},{pattern:n(/(\busing\s+)<<0>>(?=\s*=)/.source,[g]),lookbehind:!0},{pattern:n(/(\b<<0>>\s+)<<1>>/.source,[c,h]),lookbehind:!0,inside:S},{pattern:n(/(\bcatch\s*\(\s*)<<0>>/.source,[b]),lookbehind:!0,inside:S},{pattern:n(/(\bwhere\s+)<<0>>/.source,[g]),lookbehind:!0},{pattern:n(/(\b(?:is(?:\s+not)?|as)\s+)<<0>>/.source,[y]),lookbehind:!0,inside:S},{pattern:n(/\b<<0>>(?=\s+(?!<<1>>|with\s*\{)<<2>>(?:\s*[=,;:{)\]]|\s+(?:in|when)\b))/.source,[E,f,g]),inside:S}],keyword:u,number:/(?:\b0(?:x[\da-f_]*[\da-f]|b[01_]*[01])|(?:\B\.\d+(?:_+\d+)*|\b\d+(?:_+\d+)*(?:\.\d+(?:_+\d+)*)?)(?:e[-+]?\d+(?:_+\d+)*)?)(?:[dflmu]|lu|ul)?\b/i,operator:/>>=?|<<=?|[-=]>|([-+&|])\1|~|\?\?=?|[-+*/%&|^!=<>]=?/,punctuation:/\?\.?|::|[{}[\];(),.:]/}),e.languages.insertBefore("csharp","number",{range:{pattern:/\.\./,alias:"operator"}}),e.languages.insertBefore("csharp","punctuation",{"named-parameter":{pattern:n(/([(,]\s*)<<0>>(?=\s*:)/.source,[g]),lookbehind:!0,alias:"punctuation"}}),e.languages.insertBefore("csharp","class-name",{namespace:{pattern:n(/(\b(?:namespace|using)\s+)<<0>>(?:\s*\.\s*<<0>>)*(?=\s*[;{])/.source,[g]),lookbehind:!0,inside:{punctuation:/\./}},"type-expression":{pattern:n(/(\b(?:default|sizeof|typeof)\s*\(\s*(?!\s))(?:[^()\s]|\s(?!\s)|<<0>>)*(?=\s*\))/.source,[m]),lookbehind:!0,alias:"class-name",inside:S},"return-type":{pattern:n(/<<0>>(?=\s+(?:<<1>>\s*(?:=>|[({]|\.\s*this\s*\[)|this\s*\[))/.source,[E,b]),inside:S,alias:"class-name"},"constructor-invocation":{pattern:n(/(\bnew\s+)<<0>>(?=\s*[[({])/.source,[E]),lookbehind:!0,inside:S,alias:"class-name"},"generic-method":{pattern:n(/<<0>>\s*<<1>>(?=\s*\()/.source,[g,p]),inside:{function:n(/^<<0>>/.source,[g]),generic:{pattern:RegExp(p),alias:"class-name",inside:S}}},"type-list":{pattern:n(/\b((?:<<0>>\s+<<1>>|record\s+<<1>>\s*<<5>>|where\s+<<2>>)\s*:\s*)(?:<<3>>|<<4>>|<<1>>\s*<<5>>|<<6>>)(?:\s*,\s*(?:<<3>>|<<4>>|<<6>>))*(?=\s*(?:where|[{;]|=>|$))/.source,[c,h,g,E,u.source,m,/\bnew\s*\(\s*\)/.source]),lookbehind:!0,inside:{"record-arguments":{pattern:n(/(^(?!new\s*\()<<0>>\s*)<<1>>/.source,[h,m]),lookbehind:!0,greedy:!0,inside:e.languages.csharp},keyword:u,"class-name":{pattern:RegExp(E),greedy:!0,inside:S},punctuation:/[,()]/}},preprocessor:{pattern:/(^[\t ]*)#.*/m,lookbehind:!0,alias:"property",inside:{directive:{pattern:/(#)\b(?:define|elif|else|endif|endregion|error|if|line|nullable|pragma|region|undef|warning)\b/,lookbehind:!0,alias:"keyword"}}}});var C=x+"|"+_,A=t(/\/(?![*/])|\/\/[^\r\n]*[\r\n]|\/\*(?:[^*]|\*(?!\/))*\*\/|<<0>>/.source,[C]),L=r(t(/[^"'/()]|<<0>>|\(<>*\)/.source,[A]),2),P=/\b(?:assembly|event|field|method|module|param|property|return|type)\b/.source,N=t(/<<0>>(?:\s*\(<<1>>*\))?/.source,[b,L]);e.languages.insertBefore("csharp","class-name",{attribute:{pattern:n(/((?:^|[^\s\w>)?])\s*\[\s*)(?:<<0>>\s*:\s*)?<<1>>(?:\s*,\s*<<1>>)*(?=\s*\])/.source,[P,N]),lookbehind:!0,greedy:!0,inside:{target:{pattern:n(/^<<0>>(?=\s*:)/.source,[P]),alias:"keyword"},"attribute-arguments":{pattern:n(/\(<<0>>*\)/.source,[L]),inside:e.languages.csharp},"class-name":{pattern:RegExp(b),inside:{punctuation:/\./}},punctuation:/[:,]/}}});var I=/:[^}\r\n]+/.source,O=r(t(/[^"'/()]|<<0>>|\(<>*\)/.source,[A]),2),R=t(/\{(?!\{)(?:(?![}:])<<0>>)*<<1>>?\}/.source,[O,I]),M=r(t(/[^"'/()]|\/(?!\*)|\/\*(?:[^*]|\*(?!\/))*\*\/|<<0>>|\(<>*\)/.source,[C]),2),D=t(/\{(?!\{)(?:(?![}:])<<0>>)*<<1>>?\}/.source,[M,I]);function B(t,r){return{interpolation:{pattern:n(/((?:^|[^{])(?:\{\{)*)<<0>>/.source,[t]),lookbehind:!0,inside:{"format-string":{pattern:n(/(^\{(?:(?![}:])<<0>>)*)<<1>>(?=\}$)/.source,[r,I]),lookbehind:!0,inside:{punctuation:/^:/}},punctuation:/^\{|\}$/,expression:{pattern:/[\s\S]+/,alias:"language-csharp",inside:e.languages.csharp}}},string:/[\s\S]+/}}e.languages.insertBefore("csharp","string",{"interpolation-string":[{pattern:n(/(^|[^\\])(?:\$@|@\$)"(?:""|\\[\s\S]|\{\{|<<0>>|[^\\{"])*"/.source,[R]),lookbehind:!0,greedy:!0,inside:B(R,O)},{pattern:n(/(^|[^@\\])\$"(?:\\.|\{\{|<<0>>|[^\\"{])*"/.source,[D]),lookbehind:!0,greedy:!0,inside:B(D,M)}],char:{pattern:RegExp(_),greedy:!0}}),e.languages.dotnet=e.languages.cs=e.languages.csharp}(Prism)},397:()=>{!function(e){var t="(?:"+[/[a-zA-Z_\x80-\uFFFF][\w\x80-\uFFFF]*/.source,/-?(?:\.\d+|\d+(?:\.\d*)?)/.source,/"[^"\\]*(?:\\[\s\S][^"\\]*)*"/.source,/<(?:[^<>]|(?!)*>/.source].join("|")+")",n={markup:{pattern:/(^<)[\s\S]+(?=>$)/,lookbehind:!0,alias:["language-markup","language-html","language-xml"],inside:e.languages.markup}};function r(e,n){return RegExp(e.replace(//g,(function(){return t})),n)}e.languages.dot={comment:{pattern:/\/\/.*|\/\*[\s\S]*?\*\/|^#.*/m,greedy:!0},"graph-name":{pattern:r(/(\b(?:digraph|graph|subgraph)[ \t\r\n]+)/.source,"i"),lookbehind:!0,greedy:!0,alias:"class-name",inside:n},"attr-value":{pattern:r(/(=[ \t\r\n]*)/.source),lookbehind:!0,greedy:!0,inside:n},"attr-name":{pattern:r(/([\[;, \t\r\n])(?=[ \t\r\n]*=)/.source),lookbehind:!0,greedy:!0,inside:n},keyword:/\b(?:digraph|edge|graph|node|strict|subgraph)\b/i,"compass-point":{pattern:/(:[ \t\r\n]*)(?:[ewc_]|[ns][ew]?)(?![\w\x80-\uFFFF])/,lookbehind:!0,alias:"builtin"},node:{pattern:r(/(^|[^-.\w\x80-\uFFFF\\])/.source),lookbehind:!0,greedy:!0,inside:n},operator:/[=:]|-[->]/,punctuation:/[\[\]{};,]/},e.languages.gv=e.languages.dot}(Prism)},1295:()=>{Prism.languages.haskell={comment:{pattern:/(^|[^-!#$%*+=?&@|~.:<>^\\\/])(?:--(?:(?=.)[^-!#$%*+=?&@|~.:<>^\\\/].*|$)|\{-[\s\S]*?-\})/m,lookbehind:!0},char:{pattern:/'(?:[^\\']|\\(?:[abfnrtv\\"'&]|\^[A-Z@[\]^_]|ACK|BEL|BS|CAN|CR|DC1|DC2|DC3|DC4|DEL|DLE|EM|ENQ|EOT|ESC|ETB|ETX|FF|FS|GS|HT|LF|NAK|NUL|RS|SI|SO|SOH|SP|STX|SUB|SYN|US|VT|\d+|o[0-7]+|x[0-9a-fA-F]+))'/,alias:"string"},string:{pattern:/"(?:[^\\"]|\\(?:\S|\s+\\))*"/,greedy:!0},keyword:/\b(?:case|class|data|deriving|do|else|if|in|infixl|infixr|instance|let|module|newtype|of|primitive|then|type|where)\b/,"import-statement":{pattern:/(^[\t ]*)import\s+(?:qualified\s+)?(?:[A-Z][\w']*)(?:\.[A-Z][\w']*)*(?:\s+as\s+(?:[A-Z][\w']*)(?:\.[A-Z][\w']*)*)?(?:\s+hiding\b)?/m,lookbehind:!0,inside:{keyword:/\b(?:as|hiding|import|qualified)\b/,punctuation:/\./}},builtin:/\b(?:abs|acos|acosh|all|and|any|appendFile|approxRational|asTypeOf|asin|asinh|atan|atan2|atanh|basicIORun|break|catch|ceiling|chr|compare|concat|concatMap|const|cos|cosh|curry|cycle|decodeFloat|denominator|digitToInt|div|divMod|drop|dropWhile|either|elem|encodeFloat|enumFrom|enumFromThen|enumFromThenTo|enumFromTo|error|even|exp|exponent|fail|filter|flip|floatDigits|floatRadix|floatRange|floor|fmap|foldl|foldl1|foldr|foldr1|fromDouble|fromEnum|fromInt|fromInteger|fromIntegral|fromRational|fst|gcd|getChar|getContents|getLine|group|head|id|inRange|index|init|intToDigit|interact|ioError|isAlpha|isAlphaNum|isAscii|isControl|isDenormalized|isDigit|isHexDigit|isIEEE|isInfinite|isLower|isNaN|isNegativeZero|isOctDigit|isPrint|isSpace|isUpper|iterate|last|lcm|length|lex|lexDigits|lexLitChar|lines|log|logBase|lookup|map|mapM|mapM_|max|maxBound|maximum|maybe|min|minBound|minimum|mod|negate|not|notElem|null|numerator|odd|or|ord|otherwise|pack|pi|pred|primExitWith|print|product|properFraction|putChar|putStr|putStrLn|quot|quotRem|range|rangeSize|read|readDec|readFile|readFloat|readHex|readIO|readInt|readList|readLitChar|readLn|readOct|readParen|readSigned|reads|readsPrec|realToFrac|recip|rem|repeat|replicate|return|reverse|round|scaleFloat|scanl|scanl1|scanr|scanr1|seq|sequence|sequence_|show|showChar|showInt|showList|showLitChar|showParen|showSigned|showString|shows|showsPrec|significand|signum|sin|sinh|snd|sort|span|splitAt|sqrt|subtract|succ|sum|tail|take|takeWhile|tan|tanh|threadToIOResult|toEnum|toInt|toInteger|toLower|toRational|toUpper|truncate|uncurry|undefined|unlines|until|unwords|unzip|unzip3|userError|words|writeFile|zip|zip3|zipWith|zipWith3)\b/,number:/\b(?:\d+(?:\.\d+)?(?:e[+-]?\d+)?|0o[0-7]+|0x[0-9a-f]+)\b/i,operator:[{pattern:/`(?:[A-Z][\w']*\.)*[_a-z][\w']*`/,greedy:!0},{pattern:/(\s)\.(?=\s)/,lookbehind:!0},/[-!#$%*+=?&@|~:<>^\\\/][-!#$%*+=?&@|~.:<>^\\\/]*|\.[-!#$%*+=?&@|~.:<>^\\\/]+/],hvariable:{pattern:/\b(?:[A-Z][\w']*\.)*[_a-z][\w']*/,inside:{punctuation:/\./}},constant:{pattern:/\b(?:[A-Z][\w']*\.)*[A-Z][\w']*/,inside:{punctuation:/\./}},punctuation:/[{}[\];(),.:]/},Prism.languages.hs=Prism.languages.haskell},2503:()=>{!function(e){var t=/\b(?:abstract|assert|boolean|break|byte|case|catch|char|class|const|continue|default|do|double|else|enum|exports|extends|final|finally|float|for|goto|if|implements|import|instanceof|int|interface|long|module|native|new|non-sealed|null|open|opens|package|permits|private|protected|provides|public|record(?!\s*[(){}[\]<>=%~.:,;?+\-*/&|^])|requires|return|sealed|short|static|strictfp|super|switch|synchronized|this|throw|throws|to|transient|transitive|try|uses|var|void|volatile|while|with|yield)\b/,n=/(?:[a-z]\w*\s*\.\s*)*(?:[A-Z]\w*\s*\.\s*)*/.source,r={pattern:RegExp(/(^|[^\w.])/.source+n+/[A-Z](?:[\d_A-Z]*[a-z]\w*)?\b/.source),lookbehind:!0,inside:{namespace:{pattern:/^[a-z]\w*(?:\s*\.\s*[a-z]\w*)*(?:\s*\.)?/,inside:{punctuation:/\./}},punctuation:/\./}};e.languages.java=e.languages.extend("clike",{string:{pattern:/(^|[^\\])"(?:\\.|[^"\\\r\n])*"/,lookbehind:!0,greedy:!0},"class-name":[r,{pattern:RegExp(/(^|[^\w.])/.source+n+/[A-Z]\w*(?=\s+\w+\s*[;,=()]|\s*(?:\[[\s,]*\]\s*)?::\s*new\b)/.source),lookbehind:!0,inside:r.inside},{pattern:RegExp(/(\b(?:class|enum|extends|implements|instanceof|interface|new|record|throws)\s+)/.source+n+/[A-Z]\w*\b/.source),lookbehind:!0,inside:r.inside}],keyword:t,function:[e.languages.clike.function,{pattern:/(::\s*)[a-z_]\w*/,lookbehind:!0}],number:/\b0b[01][01_]*L?\b|\b0x(?:\.[\da-f_p+-]+|[\da-f_]+(?:\.[\da-f_p+-]+)?)\b|(?:\b\d[\d_]*(?:\.[\d_]*)?|\B\.\d[\d_]*)(?:e[+-]?\d[\d_]*)?[dfl]?/i,operator:{pattern:/(^|[^.])(?:<<=?|>>>?=?|->|--|\+\+|&&|\|\||::|[?:~]|[-+*/%&|^!=<>]=?)/m,lookbehind:!0},constant:/\b[A-Z][A-Z_\d]+\b/}),e.languages.insertBefore("java","string",{"triple-quoted-string":{pattern:/"""[ \t]*[\r\n](?:(?:"|"")?(?:\\.|[^"\\]))*"""/,greedy:!0,alias:"string"},char:{pattern:/'(?:\\.|[^'\\\r\n]){1,6}'/,greedy:!0}}),e.languages.insertBefore("java","class-name",{annotation:{pattern:/(^|[^.])@\w+(?:\s*\.\s*\w+)*/,lookbehind:!0,alias:"punctuation"},generics:{pattern:/<(?:[\w\s,.?]|&(?!&)|<(?:[\w\s,.?]|&(?!&)|<(?:[\w\s,.?]|&(?!&)|<(?:[\w\s,.?]|&(?!&))*>)*>)*>)*>/,inside:{"class-name":r,keyword:t,punctuation:/[<>(),.:]/,operator:/[?&|]/}},import:[{pattern:RegExp(/(\bimport\s+)/.source+n+/(?:[A-Z]\w*|\*)(?=\s*;)/.source),lookbehind:!0,inside:{namespace:r.inside.namespace,punctuation:/\./,operator:/\*/,"class-name":/\w+/}},{pattern:RegExp(/(\bimport\s+static\s+)/.source+n+/(?:\w+|\*)(?=\s*;)/.source),lookbehind:!0,alias:"static",inside:{namespace:r.inside.namespace,static:/\b\w+$/,punctuation:/\./,operator:/\*/,"class-name":/\w+/}}],namespace:{pattern:RegExp(/(\b(?:exports|import(?:\s+static)?|module|open|opens|package|provides|requires|to|transitive|uses|with)\s+)(?!)[a-z]\w*(?:\.[a-z]\w*)*\.?/.source.replace(//g,(function(){return t.source}))),lookbehind:!0,inside:{punctuation:/\./}}})}(Prism)},8704:()=>{Prism.languages.nix={comment:{pattern:/\/\*[\s\S]*?\*\/|#.*/,greedy:!0},string:{pattern:/"(?:[^"\\]|\\[\s\S])*"|''(?:(?!'')[\s\S]|''(?:'|\\|\$\{))*''/,greedy:!0,inside:{interpolation:{pattern:/(^|(?:^|(?!'').)[^\\])\$\{(?:[^{}]|\{[^}]*\})*\}/,lookbehind:!0,inside:null}}},url:[/\b(?:[a-z]{3,7}:\/\/)[\w\-+%~\/.:#=?&]+/,{pattern:/([^\/])(?:[\w\-+%~.:#=?&]*(?!\/\/)[\w\-+%~\/.:#=?&])?(?!\/\/)\/[\w\-+%~\/.:#=?&]*/,lookbehind:!0}],antiquotation:{pattern:/\$(?=\{)/,alias:"important"},number:/\b\d+\b/,keyword:/\b(?:assert|builtins|else|if|in|inherit|let|null|or|then|with)\b/,function:/\b(?:abort|add|all|any|attrNames|attrValues|baseNameOf|compareVersions|concatLists|currentSystem|deepSeq|derivation|dirOf|div|elem(?:At)?|fetch(?:Tarball|url)|filter(?:Source)?|fromJSON|genList|getAttr|getEnv|hasAttr|hashString|head|import|intersectAttrs|is(?:Attrs|Bool|Function|Int|List|Null|String)|length|lessThan|listToAttrs|map|mul|parseDrvName|pathExists|read(?:Dir|File)|removeAttrs|replaceStrings|seq|sort|stringLength|sub(?:string)?|tail|throw|to(?:File|JSON|Path|String|XML)|trace|typeOf)\b|\bfoldl'\B/,boolean:/\b(?:false|true)\b/,operator:/[=!<>]=?|\+\+?|\|\||&&|\/\/|->?|[?@]/,punctuation:/[{}()[\].,:;]/},Prism.languages.nix.string.inside.interpolation.inside=Prism.languages.nix},3210:()=>{Prism.languages.pascal={directive:{pattern:/\{\$[\s\S]*?\}/,greedy:!0,alias:["marco","property"]},comment:{pattern:/\(\*[\s\S]*?\*\)|\{[\s\S]*?\}|\/\/.*/,greedy:!0},string:{pattern:/(?:'(?:''|[^'\r\n])*'(?!')|#[&$%]?[a-f\d]+)+|\^[a-z]/i,greedy:!0},asm:{pattern:/(\basm\b)[\s\S]+?(?=\bend\s*[;[])/i,lookbehind:!0,greedy:!0,inside:null},keyword:[{pattern:/(^|[^&])\b(?:absolute|array|asm|begin|case|const|constructor|destructor|do|downto|else|end|file|for|function|goto|if|implementation|inherited|inline|interface|label|nil|object|of|operator|packed|procedure|program|record|reintroduce|repeat|self|set|string|then|to|type|unit|until|uses|var|while|with)\b/i,lookbehind:!0},{pattern:/(^|[^&])\b(?:dispose|exit|false|new|true)\b/i,lookbehind:!0},{pattern:/(^|[^&])\b(?:class|dispinterface|except|exports|finalization|finally|initialization|inline|library|on|out|packed|property|raise|resourcestring|threadvar|try)\b/i,lookbehind:!0},{pattern:/(^|[^&])\b(?:absolute|abstract|alias|assembler|bitpacked|break|cdecl|continue|cppdecl|cvar|default|deprecated|dynamic|enumerator|experimental|export|external|far|far16|forward|generic|helper|implements|index|interrupt|iochecks|local|message|name|near|nodefault|noreturn|nostackframe|oldfpccall|otherwise|overload|override|pascal|platform|private|protected|public|published|read|register|reintroduce|result|safecall|saveregisters|softfloat|specialize|static|stdcall|stored|strict|unaligned|unimplemented|varargs|virtual|write)\b/i,lookbehind:!0}],number:[/(?:[&%]\d+|\$[a-f\d]+)/i,/\b\d+(?:\.\d+)?(?:e[+-]?\d+)?/i],operator:[/\.\.|\*\*|:=|<[<=>]?|>[>=]?|[+\-*\/]=?|[@^=]/,{pattern:/(^|[^&])\b(?:and|as|div|exclude|in|include|is|mod|not|or|shl|shr|xor)\b/,lookbehind:!0}],punctuation:/\(\.|\.\)|[()\[\]:;,.]/},Prism.languages.pascal.asm.inside=Prism.languages.extend("pascal",{asm:void 0,keyword:void 0,operator:void 0}),Prism.languages.objectpascal=Prism.languages.pascal},9385:()=>{!function(e){e.languages.ruby=e.languages.extend("clike",{comment:{pattern:/#.*|^=begin\s[\s\S]*?^=end/m,greedy:!0},"class-name":{pattern:/(\b(?:class|module)\s+|\bcatch\s+\()[\w.\\]+|\b[A-Z_]\w*(?=\s*\.\s*new\b)/,lookbehind:!0,inside:{punctuation:/[.\\]/}},keyword:/\b(?:BEGIN|END|alias|and|begin|break|case|class|def|define_method|defined|do|each|else|elsif|end|ensure|extend|for|if|in|include|module|new|next|nil|not|or|prepend|private|protected|public|raise|redo|require|rescue|retry|return|self|super|then|throw|undef|unless|until|when|while|yield)\b/,operator:/\.{2,3}|&\.|===||[!=]?~|(?:&&|\|\||<<|>>|\*\*|[+\-*/%<>!^&|=])=?|[?:]/,punctuation:/[(){}[\].,;]/}),e.languages.insertBefore("ruby","operator",{"double-colon":{pattern:/::/,alias:"punctuation"}});var t={pattern:/((?:^|[^\\])(?:\\{2})*)#\{(?:[^{}]|\{[^{}]*\})*\}/,lookbehind:!0,inside:{content:{pattern:/^(#\{)[\s\S]+(?=\}$)/,lookbehind:!0,inside:e.languages.ruby},delimiter:{pattern:/^#\{|\}$/,alias:"punctuation"}}};delete e.languages.ruby.function;var n="(?:"+[/([^a-zA-Z0-9\s{(\[<=])(?:(?!\1)[^\\]|\\[\s\S])*\1/.source,/\((?:[^()\\]|\\[\s\S]|\((?:[^()\\]|\\[\s\S])*\))*\)/.source,/\{(?:[^{}\\]|\\[\s\S]|\{(?:[^{}\\]|\\[\s\S])*\})*\}/.source,/\[(?:[^\[\]\\]|\\[\s\S]|\[(?:[^\[\]\\]|\\[\s\S])*\])*\]/.source,/<(?:[^<>\\]|\\[\s\S]|<(?:[^<>\\]|\\[\s\S])*>)*>/.source].join("|")+")",r=/(?:"(?:\\.|[^"\\\r\n])*"|(?:\b[a-zA-Z_]\w*|[^\s\0-\x7F]+)[?!]?|\$.)/.source;e.languages.insertBefore("ruby","keyword",{"regex-literal":[{pattern:RegExp(/%r/.source+n+/[egimnosux]{0,6}/.source),greedy:!0,inside:{interpolation:t,regex:/[\s\S]+/}},{pattern:/(^|[^/])\/(?!\/)(?:\[[^\r\n\]]+\]|\\.|[^[/\\\r\n])+\/[egimnosux]{0,6}(?=\s*(?:$|[\r\n,.;})#]))/,lookbehind:!0,greedy:!0,inside:{interpolation:t,regex:/[\s\S]+/}}],variable:/[@$]+[a-zA-Z_]\w*(?:[?!]|\b)/,symbol:[{pattern:RegExp(/(^|[^:]):/.source+r),lookbehind:!0,greedy:!0},{pattern:RegExp(/([\r\n{(,][ \t]*)/.source+r+/(?=:(?!:))/.source),lookbehind:!0,greedy:!0}],"method-definition":{pattern:/(\bdef\s+)\w+(?:\s*\.\s*\w+)?/,lookbehind:!0,inside:{function:/\b\w+$/,keyword:/^self\b/,"class-name":/^\w+/,punctuation:/\./}}}),e.languages.insertBefore("ruby","string",{"string-literal":[{pattern:RegExp(/%[qQiIwWs]?/.source+n),greedy:!0,inside:{interpolation:t,string:/[\s\S]+/}},{pattern:/("|')(?:#\{[^}]+\}|#(?!\{)|\\(?:\r\n|[\s\S])|(?!\1)[^\\#\r\n])*\1/,greedy:!0,inside:{interpolation:t,string:/[\s\S]+/}},{pattern:/<<[-~]?([a-z_]\w*)[\r\n](?:.*[\r\n])*?[\t ]*\1/i,alias:"heredoc-string",greedy:!0,inside:{delimiter:{pattern:/^<<[-~]?[a-z_]\w*|\b[a-z_]\w*$/i,inside:{symbol:/\b\w+/,punctuation:/^<<[-~]?/}},interpolation:t,string:/[\s\S]+/}},{pattern:/<<[-~]?'([a-z_]\w*)'[\r\n](?:.*[\r\n])*?[\t ]*\1/i,alias:"heredoc-string",greedy:!0,inside:{delimiter:{pattern:/^<<[-~]?'[a-z_]\w*'|\b[a-z_]\w*$/i,inside:{symbol:/\b\w+/,punctuation:/^<<[-~]?'|'$/}},string:/[\s\S]+/}}],"command-literal":[{pattern:RegExp(/%x/.source+n),greedy:!0,inside:{interpolation:t,command:{pattern:/[\s\S]+/,alias:"string"}}},{pattern:/`(?:#\{[^}]+\}|#(?!\{)|\\(?:\r\n|[\s\S])|[^\\`#\r\n])*`/,greedy:!0,inside:{interpolation:t,command:{pattern:/[\s\S]+/,alias:"string"}}}]}),delete e.languages.ruby.string,e.languages.insertBefore("ruby","number",{builtin:/\b(?:Array|Bignum|Binding|Class|Continuation|Dir|Exception|FalseClass|File|Fixnum|Float|Hash|IO|Integer|MatchData|Method|Module|NilClass|Numeric|Object|Proc|Range|Regexp|Stat|String|Struct|Symbol|TMS|Thread|ThreadGroup|Time|TrueClass)\b/,constant:/\b[A-Z][A-Z0-9_]*(?:[?!]|\b)/}),e.languages.rb=e.languages.ruby}(Prism)},767:()=>{!function(e){for(var t=/\/\*(?:[^*/]|\*(?!\/)|\/(?!\*)|)*\*\//.source,n=0;n<2;n++)t=t.replace(//g,(function(){return t}));t=t.replace(//g,(function(){return/[^\s\S]/.source})),e.languages.rust={comment:[{pattern:RegExp(/(^|[^\\])/.source+t),lookbehind:!0,greedy:!0},{pattern:/(^|[^\\:])\/\/.*/,lookbehind:!0,greedy:!0}],string:{pattern:/b?"(?:\\[\s\S]|[^\\"])*"|b?r(#*)"(?:[^"]|"(?!\1))*"\1/,greedy:!0},char:{pattern:/b?'(?:\\(?:x[0-7][\da-fA-F]|u\{(?:[\da-fA-F]_*){1,6}\}|.)|[^\\\r\n\t'])'/,greedy:!0},attribute:{pattern:/#!?\[(?:[^\[\]"]|"(?:\\[\s\S]|[^\\"])*")*\]/,greedy:!0,alias:"attr-name",inside:{string:null}},"closure-params":{pattern:/([=(,:]\s*|\bmove\s*)\|[^|]*\||\|[^|]*\|(?=\s*(?:\{|->))/,lookbehind:!0,greedy:!0,inside:{"closure-punctuation":{pattern:/^\||\|$/,alias:"punctuation"},rest:null}},"lifetime-annotation":{pattern:/'\w+/,alias:"symbol"},"fragment-specifier":{pattern:/(\$\w+:)[a-z]+/,lookbehind:!0,alias:"punctuation"},variable:/\$\w+/,"function-definition":{pattern:/(\bfn\s+)\w+/,lookbehind:!0,alias:"function"},"type-definition":{pattern:/(\b(?:enum|struct|trait|type|union)\s+)\w+/,lookbehind:!0,alias:"class-name"},"module-declaration":[{pattern:/(\b(?:crate|mod)\s+)[a-z][a-z_\d]*/,lookbehind:!0,alias:"namespace"},{pattern:/(\b(?:crate|self|super)\s*)::\s*[a-z][a-z_\d]*\b(?:\s*::(?:\s*[a-z][a-z_\d]*\s*::)*)?/,lookbehind:!0,alias:"namespace",inside:{punctuation:/::/}}],keyword:[/\b(?:Self|abstract|as|async|await|become|box|break|const|continue|crate|do|dyn|else|enum|extern|final|fn|for|if|impl|in|let|loop|macro|match|mod|move|mut|override|priv|pub|ref|return|self|static|struct|super|trait|try|type|typeof|union|unsafe|unsized|use|virtual|where|while|yield)\b/,/\b(?:bool|char|f(?:32|64)|[ui](?:8|16|32|64|128|size)|str)\b/],function:/\b[a-z_]\w*(?=\s*(?:::\s*<|\())/,macro:{pattern:/\b\w+!/,alias:"property"},constant:/\b[A-Z_][A-Z_\d]+\b/,"class-name":/\b[A-Z]\w*\b/,namespace:{pattern:/(?:\b[a-z][a-z_\d]*\s*::\s*)*\b[a-z][a-z_\d]*\s*::(?!\s*<)/,inside:{punctuation:/::/}},number:/\b(?:0x[\dA-Fa-f](?:_?[\dA-Fa-f])*|0o[0-7](?:_?[0-7])*|0b[01](?:_?[01])*|(?:(?:\d(?:_?\d)*)?\.)?\d(?:_?\d)*(?:[Ee][+-]?\d+)?)(?:_?(?:f32|f64|[iu](?:8|16|32|64|size)?))?\b/,boolean:/\b(?:false|true)\b/,punctuation:/->|\.\.=|\.{1,3}|::|[{}[\];(),:]/,operator:/[-+*\/%!^]=?|=[=>]?|&[&=]?|\|[|=]?|<>?=?|[@?]/},e.languages.rust["closure-params"].inside.rest=e.languages.rust,e.languages.rust.attribute.inside.string=e.languages.rust.string}(Prism)},9462:(e,t,n)=>{var r={"./prism-ada":5795,"./prism-bash":7874,"./prism-csharp":9016,"./prism-dot":397,"./prism-haskell":1295,"./prism-java":2503,"./prism-nix":8704,"./prism-pascal":3210,"./prism-ruby":9385,"./prism-rust":767};function a(e){var t=o(e);return n(t)}function o(e){if(!n.o(r,e)){var t=new Error("Cannot find module '"+e+"'");throw t.code="MODULE_NOT_FOUND",t}return r[e]}a.keys=function(){return Object.keys(r)},a.resolve=o,e.exports=a,a.id=9462},2703:(e,t,n)=>{"use strict";var r=n(414);function a(){}function o(){}o.resetWarningCache=a,e.exports=function(){function e(e,t,n,a,o,i){if(i!==r){var l=new Error("Calling PropTypes validators directly is not supported by the `prop-types` package. Use PropTypes.checkPropTypes() to call them. Read more at http://fb.me/use-check-prop-types");throw l.name="Invariant Violation",l}}function t(){return e}e.isRequired=e;var n={array:e,bigint:e,bool:e,func:e,number:e,object:e,string:e,symbol:e,any:e,arrayOf:t,element:e,elementType:e,instanceOf:t,node:e,objectOf:t,oneOf:t,oneOfType:t,shape:t,exact:t,checkPropTypes:o,resetWarningCache:a};return n.PropTypes=n,n}},5697:(e,t,n)=>{e.exports=n(2703)()},414:e=>{"use strict";e.exports="SECRET_DO_NOT_PASS_THIS_OR_YOU_WILL_BE_FIRED"},4448:(e,t,n)=>{"use strict";var r=n(7294),a=n(7418),o=n(3840);function i(e){for(var t="https://reactjs.org/docs/error-decoder.html?invariant="+e,n=1;n