2020-06-09 16:36:07 +00:00
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---
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2020-06-15 23:19:07 +00:00
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id: dp-trees
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2020-06-09 16:36:07 +00:00
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title: "Dynamic Programming on Trees"
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author: Michael Cao
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prerequisites:
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2020-06-22 20:51:12 +00:00
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- Silver - Depth First Search
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- Gold - Introduction to Dynamic Programming
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2020-06-22 19:59:16 +00:00
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description: What it sounds like.
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2020-06-09 16:36:07 +00:00
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---
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## Tutorial
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* [DP on Trees (Codeforces)](https://codeforces.com/blog/entry/20935)
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2020-06-22 19:59:16 +00:00
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* [NOI PDF (Philippines)](https://noi.ph/training/weekly/week5.pdf)
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2020-06-09 16:36:07 +00:00
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## Problems
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2020-06-22 04:00:36 +00:00
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<info-block title="Pro Tip">
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Don't just dive into trying to figure out a DP state and transitions -- make some observations if you don't see any obvious DP solution!
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</info-block>
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2020-06-11 01:25:17 +00:00
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2020-06-23 02:17:59 +00:00
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- USACO
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- [Gold - Barn Painting](http://www.usaco.org/index.php?page=viewproblem2&cpid=766)
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- Similar to Independent Set
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- [Gold - Delegation](http://usaco.org/index.php?page=viewproblem2&cpid=1019)
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- Pretty much a greedy problem.
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- [Plat - Delegation](http://www.usaco.org/index.php?page=viewproblem2&cpid=1020)
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- Binary search on answer!
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- Other
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- [CSES - Tree Matching](https://cses.fi/problemset/task/1130)
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- [Subtree](https://atcoder.jp/contests/dp/tasks/dp_v)
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- [Independent Set](https://atcoder.jp/contests/dp/tasks/dp_p)
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- [BOI - Cat In A Tree](https://cses.fi/file/a904421da451fbe1b60f96a27256832a011825dfd097ee40184d15878e837018/)
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- Observations first.
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- [COCI - Dzumbus](https://oj.uz/problem/view/COCI19_dzumbus)
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- Solve child subtree by subtree. Runtime may be faster than you think.
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- [Ostap and Tree](https://codeforces.com/problemset/problem/735/E)
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