2020-06-04 02:09:42 +00:00
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---
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slug: /plat/trees
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2020-06-04 05:39:49 +00:00
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title: "Trees"
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2020-06-04 03:26:53 +00:00
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author: Benjamin Qi
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2020-06-04 05:39:49 +00:00
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order: 1
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2020-06-05 00:21:03 +00:00
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prerequisites:
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-
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2020-06-05 00:37:02 +00:00
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- Silver - Depth First Search
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2020-06-04 02:09:42 +00:00
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---
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2020-06-04 21:42:30 +00:00
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Lowest Common Ancestor and other tree topics.
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2020-06-04 05:39:49 +00:00
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<!-- END DESCRIPTION -->
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2020-06-03 14:17:07 +00:00
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2020-06-04 03:26:53 +00:00
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## Tree Diameter
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### Tutorial
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- CPH 14.2
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### Problems
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- [USACO Plat Newbarns](http://www.usaco.org/index.php?page=viewproblem2&cpid=817)
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- Copy of [Brain Network "Hard"](https://codeforces.com/contest/690/problem/C3)
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2020-06-04 13:54:18 +00:00
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- [Tree Construction](https://csacademy.com/contest/archive/task/tree-construct)
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2020-06-04 03:26:53 +00:00
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## Lowest Common Ancestor
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### Tutorial
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- CPH 18
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- [cp-algorithms: Lowest Common Ancestor](https://cp-algorithms.com/)
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### Problems
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2020-06-04 13:54:18 +00:00
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USACO:
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2020-06-04 03:26:53 +00:00
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- [USACO Plat Max Flow](http://www.usaco.org/index.php?page=viewproblem2&cpid=576)
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- [USACO Gold Milk Visits](http://www.usaco.org/index.php?page=viewproblem2&cpid=970)
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- [USACO Gold Cow Land](http://www.usaco.org/index.php?page=viewproblem2&cpid=921)
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- LCA + BIT
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- [USACO Plat Promote](http://www.usaco.org/index.php?page=viewproblem2&cpid=696)
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- Subtree + BIT
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- [USACO Plat Disrupt](http://www.usaco.org/index.php?page=viewproblem2&cpid=842)
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- HLD is possible, but just do binary jumps
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- [USACO Plat Tree Boxes](http://www.usaco.org/index.php?page=viewproblem2&cpid=948)
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- interactive!!
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- [USACO Plat Gathering](http://www.usaco.org/index.php?page=viewproblem2&cpid=866)
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- [USACO Plat Exercise](http://www.usaco.org/index.php?page=viewproblem2&cpid=901)
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- tricky
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2020-06-04 13:54:18 +00:00
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Other:
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- [Hot & Cold](https://dmoj.ca/problem/bts17p7) [](105)
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- [Root LCA Queries](https://csacademy.com/contest/archive/task/root-lca-queries/) [](107)
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2020-06-04 03:26:53 +00:00
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## Centroid Decomposition
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2020-06-04 13:54:18 +00:00
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### Tutorial
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- [GeeksForGeeks](http://www.geeksforgeeks.org/centroid-decomposition-of-tree/)
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- [Carpanese](https://medium.com/carpanese/an-illustrated-introduction-to-centroid-decomposition-8c1989d53308)
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### Problems
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2020-06-04 03:26:53 +00:00
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- [USACO Plat - At Large](http://www.usaco.org/index.php?page=viewproblem2&cpid=793)
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- very tricky
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- [DMOJ Bob Equilibrium](https://dmoj.ca/problem/dmopc19c7p6)
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## Heavy-Light Decomposition
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2020-06-04 13:54:18 +00:00
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- probably not intended solution, but can help (ex. for "Disrupt")
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### Tutorial
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- [Anudeep2011](https://blog.anudeep2011.com/heavy-light-decomposition/)
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- [AI-Cash](http://codeforces.com/blog/entry/22072)
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- [adamant](https://codeforces.com/blog/entry/53170)
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2020-06-04 21:42:30 +00:00
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### Problems
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??
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2020-06-04 13:54:18 +00:00
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## Small to Large (Offline)
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??
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