Unique Paths | Recursion | Memo | Bottom Up | Leetcode 62 | DP On Grids | codestorywithMIK
52iPad PDF NOTES - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/iPad PDF Notes/Leetcode-62-Unique Paths.pdf
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This is the 31st Video of our Playlist "DP Concepts & Qns" by codestorywithMIK
We already covered the introduction of DP On Grids in video-29 and video-30 of this playlist.
Video-29 - Part-1 - • Introduction | DP On Grids | Part 1 |...
Video-30 - Part-2 - • Introduction | DP On Grids | Part 2 |...
Now, we will start solving Questions based on DP On Grids.
Today we will be solving a Medium and popular problem based on Grid DP - Unique Paths | Recursion | Memo | Bottom Up | Leetcode 62 | DP On Grids | codestorywithMIK
We will solve it using Recursion and Memoization and then we will convert that to Bottom Up.
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Unique Paths | Recursion | Memo | Bottom Up | Leetcode 62 | DP On Grids | codestorywithMIK
Company Tags : Amazon, Cisco, Paytm, OLA Cabs, Walmart, LinkedIn
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/DP/DP on Grids/Unique Paths.cpp
Leetcode Link : https://leetcode.com/problems/unique-paths/
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist : • Graph Concepts & Qns - 1 : Graph will...
My Segment Tree Concepts Playlist : • Segment Tree | Introduction | Basics ...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And...
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Video Summary :
Approach 1: Recursion + Memoization
This approach solves the problem by recursively calculating the number of unique paths to the bottom-right corner of the grid from the top-left corner. Memoization (a 2D array t) is used to store intermediate results to avoid redundant computations.
Base cases handle out-of-bound conditions and the finish cell.
Recursive calls sum up the ways from the cell below and the cell to the right.
Approach 2: Bottom-Up Dynamic Programming
This approach builds a 2D DP table iteratively, where t[i][j] represents the number of ways to reach the cell [i][j]. The values are calculated based on the sum of ways from the cell above [i−1][j] and the cell to the left [i][j−1]. First row and column are initialized to 1, as there is only one way to move along these edges. The value at [m−1][n−1] represents the total unique paths.
✨ Timelines✨
00:00 - Introduction
0:10 - Motivation
1:15 - Problem Explanation
3:29 - Thought Process Recursion & Memoization + Decision Tree
12:56 - Time Complexity
16:23 - Coding Recursion & Memoization
19:25 - Understanding Bottom Up
34:31 - Coding bottom up
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