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Solution: Minimum Path Sum

Explore the dynamic programming approach to find the minimum path sum in a grid. Understand how to update the grid in place to track the smallest cost from the top-left to bottom-right cell by moving only right or down, optimizing both time and space complexity.

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 ...