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Problem: Minimum Path Sum

Medium
30 min
Explore the dynamic programming approach to find the minimum path sum on a grid by moving only right or down. Understand how to apply optimization techniques to solve this classic coding interview problem efficiently and implement your solution confidently.

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

  • 11 \leqm, n 200\leq 200

  • 00 \leq grid[i][j] 200\leq 200

Problem
Ask
Submissions

Problem: Minimum Path Sum

Medium
30 min
Explore the dynamic programming approach to find the minimum path sum on a grid by moving only right or down. Understand how to apply optimization techniques to solve this classic coding interview problem efficiently and implement your solution confidently.

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

  • 11 \leqm, n 200\leq 200

  • 00 \leq grid[i][j] 200\leq 200