Web Reference: Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right, which minimizes the sum of all numbers along its path. Note: You can only move either down or right at any point in time. To find the minimum path sum to the bottom-right corner, we consider both choices and take the minimum. At the destination cell, we simply return its value. This naturally leads to a recursive solution where we explore all possible paths by branching at each cell. Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right which minimizes the sum of all numbers along its path. Eg: [1,3,1],[1,5,1],[4,2,1]] Given the above grid map, return 7. Because the path 1→3→1→1→1 minimizes the sum.
YouTube Excerpt: https://neetcode.io/ - A better way to prepare for Coding Interviews Problem Link: https://neetcode.io/problems/
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Last Updated: April 8, 2026
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