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Solution: Minimum Path Sum

Understand how to solve the minimum path sum problem in a grid using dynamic programming. Learn to update the grid in place to find the optimal path with minimal sum by moving only right or down, mastering time and space efficient approaches.

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 ...