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Solution: Minimum Path Sum

Explore the dynamic programming technique to find the minimum path sum in a grid, moving only right or down. This lesson guides you through updating the original grid as a DP table to compute the minimal cumulative cost efficiently, achieving an O(m × n) time complexity and constant space usage.

Statement

You are given an m × n grid containing non-negative integers. Your task is to find a path from the top-left cell to the bottom-right cell that minimizes the sum of the values along the path. At each step, you may move only right or down.

Constraints:

  • m == grid.length

  • n == grid[i].length ...