This series of videos are focused on explaining dynamic programming by illustrating the application of DP through the use of selected problems from platforms like Codeforces, Codechef, SPOJ, CSES and Atcoder. ↵
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After going through this series, you should find yourself confident in approaching dynamic programming problems and also implementing them in a reasonable amount of time.↵
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I will also live code and submit the solutions to the problem on the coding platform from where the problem comes.↵
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Problem 1: Dice Combinations↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1633<br>↵
Explanation: [https://youtu.be/5gd5jptXWAM](https://youtu.be/5gd5jptXWAM)↵
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Problem 2: Coin Combinations I↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1635<br>↵
Explanation: [https://youtu.be/5BdAl6gfusg](https://youtu.be/5BdAl6gfusg)↵
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Problem 3: Coin Combinations II↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1636<br>↵
Explanation: [https://youtu.be/-pXjopzMVrE](https://youtu.be/-pXjopzMVrE)↵
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Problem 4: Removing Digits↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1637<br>↵
Explanation: [https://youtu.be/32qvB7OP4V8](https://youtu.be/32qvB7OP4V8)↵
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Problem 5: Grid Paths↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1638<br>↵
Explanation: [https://youtu.be/V64F4wlodUM](https://youtu.be/V64F4wlodUM)↵
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Problem56: Book Shop↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1633<br>↵
Explanation: [https://youtu.be/qpNy2nuSuaI](https://youtu.be/qpNy2nuSuaI)↵
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Problem67: Array Description↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1158<br>↵
Explanation: [https://youtu.be/d1H5JylYG4I](https://youtu.be/d1H5JylYG4I)↵
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Problem78: Edit Distance↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1639<br>↵
Explanation: [https://youtu.be/Ev80c1oIRFg](https://youtu.be/Ev80c1oIRFg)↵
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Problem89: Rectangle Cutting↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1744<br>↵
Explanation: [https://youtu.be/LdynQjWsO5Q](https://youtu.be/LdynQjWsO5Q)↵
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Problem910: Two Sets II↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1093<br>↵
Explanation: [https://youtu.be/TOsD3BkIKoQ](https://youtu.be/TOsD3BkIKoQ)↵
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Problem 101: Beautiful Array↵
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Source: Codeforces<br>↵
Problem link: https://codeforces.me/problemset/problem/1155/D<br>↵
Explanation: [https://youtu.be/IgBLv32QFoQ](https://youtu.be/IgBLv32QFoQ)↵
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Problem 112: Number of Valid Arrays↵
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Source: Coding Interview<br>↵
Problem link: [Problem Statement](https://docs.google.com/document/d/1_01rKWuqIxSYOqrSBzkj4Ue_AGJMVLBLtLrZX0tCx1Q/edit?usp=sharing)<br>↵
Explanation: [https://youtu.be/QGJXQAaDs3I](https://youtu.be/QGJXQAaDs3I)↵
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Problem 123: Longest Increasing Subsequence O(NlogN)↵
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Source: CSES<br>↵
Problem link: https://codeforces.me/problemset/problem/1155/D<br>↵
Proof and optimization to NlogN: [https://youtu.be/66w10xKzbRM](https://youtu.be/66w10xKzbRM)<br>↵
Implementation of the algorithm: [https://youtu.be/wqLwv7E1GF0](https://youtu.be/wqLwv7E1GF0)↵
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Problem 134: Projects↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1140<br>↵
Solution Approach: [https://youtu.be/MJn3ogwsUbo](https://youtu.be/MJn3ogwsUbo)<br>↵
Implementation of the algorithm: [https://youtu.be/ISuIwMnSyXc](https://youtu.be/ISuIwMnSyXc)↵
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Problem 15: Beauty of Tree↵
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Source: Kick Start<br>↵
Problem link: [Long link](https://codingcompetitions.withgoogle.com/kickstart/round/000000000019ff08/0000000000386edd) <br>↵
Explanation: [https://youtu.be/ueLRceYVcdE](https://youtu.be/ueLRceYVcdE)↵
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Problem 146: Catch Some↵
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Source: Kick Start<br>↵
Problem link: [Long link](https://codingcompetitions.withgoogle.com/kickstart/round/0000000000050ff2/0000000000150a0d)<br>↵
Explanation: [https://youtu.be/ljLIrNKLANE](https://youtu.be/ljLIrNKLANE)↵
↵
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I am quite confident that many beginners/intermediates will definitely enjoy watching this series on dynamic programming and it will definitely help in getting better at dynamic programming and problem solving in general. I have tried to teach in a way such that not many prior prerequisites are required to understand the explanations even to the harder problems.↵
↵
If people find this helpful then I will make sure that this list of problems will keep growing, cheers!↵
↵
UPD: Added 2 more problems from CSES: Projects and Removing digits.
↵
After going through this series, you should find yourself confident in approaching dynamic programming problems and also implementing them in a reasonable amount of time.↵
↵
I will also live code and submit the solutions to the problem on the coding platform from where the problem comes.↵
↵
Problem 1: Dice Combinations↵
------------------↵
Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1633<br>↵
Explanation: [https://youtu.be/5gd5jptXWAM](https://youtu.be/5gd5jptXWAM)↵
↵
Problem 2: Coin Combinations I↵
------------------↵
Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1635<br>↵
Explanation: [https://youtu.be/5BdAl6gfusg](https://youtu.be/5BdAl6gfusg)↵
↵
Problem 3: Coin Combinations II↵
------------------↵
Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1636<br>↵
Explanation: [https://youtu.be/-pXjopzMVrE](https://youtu.be/-pXjopzMVrE)↵
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Problem 4: Removing Digits↵
------------------↵
Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1637<br>↵
Explanation: [https://youtu.be/32qvB7OP4V8](https://youtu.be/32qvB7OP4V8)↵
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Problem 5: Grid Paths↵
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1638<br>↵
Explanation: [https://youtu.be/V64F4wlodUM](https://youtu.be/V64F4wlodUM)↵
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Problem
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1633<br>↵
Explanation: [https://youtu.be/qpNy2nuSuaI](https://youtu.be/qpNy2nuSuaI)↵
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Problem
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1158<br>↵
Explanation: [https://youtu.be/d1H5JylYG4I](https://youtu.be/d1H5JylYG4I)↵
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Problem
------------------↵
Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1639<br>↵
Explanation: [https://youtu.be/Ev80c1oIRFg](https://youtu.be/Ev80c1oIRFg)↵
↵
Problem
------------------↵
Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1744<br>↵
Explanation: [https://youtu.be/LdynQjWsO5Q](https://youtu.be/LdynQjWsO5Q)↵
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Problem
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1093<br>↵
Explanation: [https://youtu.be/TOsD3BkIKoQ](https://youtu.be/TOsD3BkIKoQ)↵
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Problem 1
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Source: Codeforces<br>↵
Problem link: https://codeforces.me/problemset/problem/1155/D<br>↵
Explanation: [https://youtu.be/IgBLv32QFoQ](https://youtu.be/IgBLv32QFoQ)↵
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Problem 1
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Source: Coding Interview<br>↵
Problem link: [Problem Statement](https://docs.google.com/document/d/1_01rKWuqIxSYOqrSBzkj4Ue_AGJMVLBLtLrZX0tCx1Q/edit?usp=sharing)<br>↵
Explanation: [https://youtu.be/QGJXQAaDs3I](https://youtu.be/QGJXQAaDs3I)↵
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Problem 1
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Source: CSES<br>↵
Problem link: https://codeforces.me/problemset/problem/1155/D<br>↵
Proof and optimization to NlogN: [https://youtu.be/66w10xKzbRM](https://youtu.be/66w10xKzbRM)<br>↵
Implementation of the algorithm: [https://youtu.be/wqLwv7E1GF0](https://youtu.be/wqLwv7E1GF0)↵
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Problem 1
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Source: CSES<br>↵
Problem link: https://cses.fi/problemset/task/1140<br>↵
Solution Approach: [https://youtu.be/MJn3ogwsUbo](https://youtu.be/MJn3ogwsUbo)<br>↵
Implementation of the algorithm: [https://youtu.be/ISuIwMnSyXc](https://youtu.be/ISuIwMnSyXc)↵
↵
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Problem 15: Beauty of Tree↵
------------------↵
Source: Kick Start<br>↵
Problem link: [Long link](https://codingcompetitions.withgoogle.com/kickstart/round/000000000019ff08/0000000000386edd) <br>↵
Explanation: [https://youtu.be/ueLRceYVcdE](https://youtu.be/ueLRceYVcdE)↵
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Problem 1
------------------↵
Source: Kick Start<br>↵
Problem link: [Long link](https://codingcompetitions.withgoogle.com/kickstart/round/0000000000050ff2/0000000000150a0d)<br>↵
Explanation: [https://youtu.be/ljLIrNKLANE](https://youtu.be/ljLIrNKLANE)↵
↵
↵
I am quite confident that many beginners/intermediates will definitely enjoy watching this series on dynamic programming and it will definitely help in getting better at dynamic programming and problem solving in general. I have tried to teach in a way such that not many prior prerequisites are required to understand the explanations even to the harder problems.↵
↵
If people find this helpful then I will make sure that this list of problems will keep growing, cheers!↵
↵
UPD: Added 2 more problems from CSES: Projects and Removing digits.