60 lines
No EOL
2.1 KiB
Markdown
60 lines
No EOL
2.1 KiB
Markdown
---
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id: bin-jump
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title: "Binary Jumping"
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author: Benjamin Qi
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description: Introduces the problems of finding level ancestors in a tree and computing the lowest common ancestors.
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---
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<problems-list>
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<problem name="Planet Queries I" cses="1750" difficulty="Easy" tags={["Binary Jumping"]}>
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</problem>
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<problem name="Company Queries I" cses="1687" difficulty="Easy" tags={["Binary Jumping"]}>
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</problem>
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<problem name="Company Queries II" cses="1688" difficulty="Easy" tags={["LCA"]}>
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</problem>
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</problems-list>
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## Binary Jumping
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## Lowest Common Ancestor
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### Tutorial
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- CPH 18.1, 18.3
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- [cp-algorithms](https://cp-algorithms.com/)
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<optional-content title="Improvements">
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- [CF: $O(\log N)$ queries and $O(N)$ memory](https://codeforces.com/blog/entry/74847)
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- [Wikipedia: $O(1)$ queries and $O(N)$ preprocessing time](https://en.wikipedia.org/wiki/Level_ancestor_problem#Ladder_algorithm)
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- though explanation is not the greatest
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</optional-content>
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### Problems
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<problems-list>
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<problem name="Distance Queries" cses="1135" difficulty="Easy" tags={["LCA"]}>
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</problem>
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<problem name="Plat - Max Flow" usaco="576" difficulty="Easy" tags={["LCA"]}>
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</problem>
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<problem name="Root LCA Queries" csa="root-lca-queries" difficulty="Normal" tags={["LCA"]}>
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</problem>
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<problem name="Planets Queries II" cses="1160" difficulty="Normal" tags={["LCA"]}>
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</problem>
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<problem name="Plat - Disruption" usaco="842" difficulty="Normal" tags={["LCA"]}>
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</problem>
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<problem name="Hot & Cold" dmoj="bts17p7" difficulty="Normal" tags={["LCA"]}>
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</problem>
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<problem name="Plat - Tree Boxes" usaco="948" difficulty="Hard" tags={["LCA"]}>
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- interactive!!
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</problem>
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<problem name="Plat - Newbarns" usaco="817" difficulty="Hard" tags={["Diameter"]}>
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Copy of [CF Brain Network "Hard"](https://codeforces.com/contest/690/problem/C3)
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</problem>
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<problem name="Plat - Gathering" usaco="866" difficulty="Hard" tags={["LCA"]}>
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- interactive!!
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</problem>
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<problem name="Plat - Exercise" usaco="901" difficulty="Very Hard" tags={["LCA"]}>
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</problem>
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</problems-list> |