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Grokking the Coding Interview Patterns

Solution: Minimum Path Sum

Discover how to solve the minimum path sum problem on a grid by applying dynamic programming principles. Learn to update the grid in place to calculate the optimal cost path moving only right or down, understanding both time and space complexity aspects.

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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 ...