Painting a Grid With Three Different Colors | Thought Process | Leetcode 1931 | codestorywithMIK
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Similar Problem - https://leetcode.com/problems/number-of-ways-to-paint-n-3-grid
Hi Everyone, this is the 113th video of our Playlist "Dynamic Programming : Popular Interview Problems".
Now we will be solving a very good DP Problem based on grid DP - Painting a Grid With Three Different Colors | Detailed Thought Process | Leetcode 1931 | codestorywithMIK
I will explain it in full detail so that it becomes easy to understand. Each line will be explained and you will know the WHY behind everything.
We will also understand why Greedy fails. We will deep dive so that the thought process will be cleared.
This will help you solve similar problems where states for a complete row or a complete column can help to solve the problem.
Problem Name : Painting a Grid With Three Different Colors | Detailed Thought Process | Leetcode 1931 | codestorywithMIK
Company Tags : will update later
Code Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/DP/Painting a Grid With Three Different Colors.cpp
Leetcode Link - https://leetcode.com/problems/painting-a-grid-with-three-different-colors
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | Topic...
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My Segment Tree Concepts Playlist : • Segment Tree | Introduction | Basics | Bui...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And Ques...
Trie Playlist - • Word Search II (Google, Amazon, Meta, Micr...
Difference Array Technique: Concepts & Qns : • Introduction | What | How | Difference Arr...
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Video Summary :
The intuition behind this problem lies in breaking down a 2D grid coloring task into column-by-column choices, ensuring that colors follow rules: no two adjacent cells (vertically or horizontally) have the same color. Instead of coloring the whole grid directly, we precompute valid column patterns and use dynamic programming to count how many ways columns can be placed side by side without breaking the rules. This approach reduces complexity by reusing results and treating each column as a state.
✨ Timelines✨
00:00 - Introduction
0:25 - Motivation
0:46 - Problem Explanation
3:16 - Thought Process
11:40 - Important Constraint Observation
14:50 - Rephrasing the problem
19:10 - Story Points
21:48 - Step-1
29:20 - How to write Step-3 solve() function
37:41 - Similar Problem Variant Leetcode - 1411
38:36 - Coding it up
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