2020-06-03 19:14:28 +00:00
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# Gold - Dynamic Programming (DP)
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Author: Michael Cao
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2020-06-03 14:17:07 +00:00
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2020-06-03 19:14:28 +00:00
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## Prerequisites
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Assumes familiarity with prefix sums, recursion, Bit Operations (for Bitmask DP), and Trees (for Tree DP).
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## Introduction to DP
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* CPH Chapter 7
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2020-06-03 19:24:44 +00:00
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* [Topcoder DP](https://www.topcoder.com/community/competitive-programming/tutorials/dynamic-programming-from-novice-to-advanced/)
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* [HackerRank DP](https://www.hackerrank.com/topics/dynamic-programming)
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## Classical DP Problems
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Tutorials for most problems (excluding USACO) can be found on Chapter 7 of CPH.
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* Knapsack
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* [Unbounded](https://www.hackerrank.com/challenges/unbounded-knapsack/problem)
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* [0/1](https://www.hackerrank.com/contests/srin-aadc03/challenges/classic-01-knapsack/problem)
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* [Large Capacity + Small Values](https://atcoder.jp/contests/dp/tasks/dp_e)
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* [Talent Show](http://www.usaco.org/index.php?page=viewproblem2&cpid=839)
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* Longest Increasing Subsequence
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* [LIS in Quadratic Time](https://leetcode.com/problems/longest-increasing-subsequence/)
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* Try to improve to $O(NlogN)$.
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* [Sort It Out](http://www.usaco.org/index.php?page=viewproblem2&cpid=865)
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* Coin Change
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* [Unordered](https://cses.fi/problemset/task/1635)
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* [Ordered](https://cses.fi/problemset/task/1636)
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* [Minimum Coins](https://cses.fi/problemset/task/1634)
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* Paths on a Grid
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* [Count Paths](https://atcoder.jp/contests/dp/tasks/dp_h)
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* [Palindromic Paths](http://www.usaco.org/index.php?page=viewproblem2&cpid=553)
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* Edit Distance
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* [Standard](https://www.hackerrank.com/contests/cse-830-homework-3/challenges/edit-distance)
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* [Landscaping (Silver)](http://www.usaco.org/index.php?page=viewproblem2&cpid=126)
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* Longest Common Subsequence
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* [Standard](https://leetcode.com/problems/longest-common-subsequence/)
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## Tree DP
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* Tutorials:
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* [DP on Trees (Codeforces)](https://codeforces.com/blog/entry/20935)
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* Problems
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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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* [Barn Painting](http://www.usaco.org/index.php?page=viewproblem2&cpid=766)
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* [Delegation](http://usaco.org/index.php?page=viewproblem2&cpid=1019)
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## Bitmask DP
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* Tutorials:
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* CPH Chapter 10
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* [Dynamic Programming Over Subsets (Codeforces)](https://codeforces.com/blog/entry/337)
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* [Dynamic Programming and Bit Masking (HackerEarth)](https://www.hackerearth.com/practice/algorithms/dynamic-programming/bit-masking/tutorial/)
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* Problems:
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* [Moovie Moving](http://www.usaco.org/index.php?page=viewproblem2&cpid=515)
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* [Matching](https://atcoder.jp/contests/dp/tasks/dp_o)
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* [Square Subsets](https://codeforces.com/contest/895/problem/C)
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* [Guards in the Storehouse](https://codeforces.com/problemset/problem/845/F)
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## Practice Problems
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* [Atcoder DP Contest (Extremely Good)](https://atcoder.jp/contests/dp/tasks)
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* [CSES DP Section](https://cses.fi/problemset/list/)
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* USACO (Not Ordered By Difficulty)
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* [Delegation](http://www.usaco.org/index.php?page=viewproblem2&cpid=1019)
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* [Time is Mooney](http://www.usaco.org/index.php?page=viewproblem2&cpid=993)
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* [Mortal Cowmbat](http://usaco.org/index.php?page=viewproblem2&cpid=971)
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* [Snakes](http://www.usaco.org/index.php?page=viewproblem2&cpid=945)
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* [Painting the Barn](http://usaco.org/index.php?page=viewproblem2&cpid=923)
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* [Cow Poetry (Fast Exponentiation)](http://usaco.org/index.php?page=viewproblem2&cpid=897)
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* [Teamwork](http://usaco.org/index.php?page=viewproblem2&cpid=863)
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* [Talent Show](http://www.usaco.org/index.php?page=viewproblem2&cpid=839)
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* [Taming the Herd](http://www.usaco.org/index.php?page=viewproblem2&cpid=815)
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* [Stamp Painting](http://www.usaco.org/index.php?page=viewproblem2&cpid=791)
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* [Why Did The Cow Cross the Road I](http://www.usaco.org/index.php?page=viewproblem2&cpid=717)
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* [Why Did The Cow Cross the Road II](http://www.usaco.org/index.php?page=viewproblem2&cpid=718)
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* [Hoof Paper Scissors](http://www.usaco.org/index.php?page=viewproblem2&cpid=694)
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* [Cow Checklist](http://www.usaco.org/index.php?page=viewproblem2&cpid=670)
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* [Circular Barn Revisited](http://www.usaco.org/index.php?page=viewproblem2&cpid=622)
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* [Radio Contact](http://www.usaco.org/index.php?page=viewproblem2&cpid=598)
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* [248](http://www.usaco.org/index.php?page=viewproblem2&cpid=647)
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* [Fruit Feast](http://www.usaco.org/index.php?page=viewproblem2&cpid=574)
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* [Codeforces DP Problem List](http://codeforces.com/blog/entry/325)
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