Longest Increasing Path in a Matrix | DFS + Memoization | JavaScript | LeetCode 329

Description

🔥 Day 81 of my LeetCode Daily Challenge! In this problem, I solve LeetCode 329 - Longest Increasing Path in a Matrix using DFS + Memoization in JavaScript.

This is a classic matrix + dynamic programming problem where we need to find the length of the longest strictly increasing path in a 2D grid.

Instead of trying all paths repeatedly, we use depth-first search (DFS) with memoization to store the longest increasing path starting from each cell.

🧠 Key Idea:
From each cell, explore all 4 directions
Only move to a neighbor if it is strictly greater
Use a dp cache so each cell’s result is computed only once

This avoids recomputation and makes the solution efficient.

✅ Complexity:
Time Complexity: O(m × n)
Space Complexity: O(m × n)
In this video, you will learn:
How to solve Longest Increasing Path using DFS
Why memoization is needed in grid DFS problems
How to avoid recomputation of paths
How DFS + DP work together
Common patterns in matrix dynamic programming problems
Problem Link:
https://leetcode.com/problems/longest-increasing-path-in-a-matrix/

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Видео Longest Increasing Path in a Matrix | DFS + Memoization | JavaScript | LeetCode 329 канала Ashwini Kemshetty