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Solution: Minimum Path Sum

Explore how to solve the minimum path sum problem on a grid using dynamic programming in C++. Understand the technique of updating the grid in place to achieve an O(m×n) time solution with constant space, enabling efficient path cost calculation by moving only right or down.

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 ...