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Solution: Minimum Path Sum

Understand how to find the minimum path sum in a grid by moving only right or down using dynamic programming. Learn to update the grid in place to optimize time and space complexity, preparing you to solve similar interview problems efficiently.

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 ...