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Solution: Minimum Path Sum

Explore how to compute the minimum path sum in a grid from top-left to bottom-right by moving only right or down. Understand dynamic programming techniques, reuse the input grid for optimization, and analyze time and space complexities of the solution.

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 ...