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Solution: Minimum Path Sum

Explore how to efficiently find the minimum path sum in a grid by applying dynamic programming. Understand how to update the grid in place to minimize space usage while iterating through possible paths. Learn the logic of combining previous results from adjacent cells to calculate the path with the smallest sum from the top-left to bottom-right.

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 ...