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Problem: Minimum Path Sum

Medium
30 min
Explore how to apply dynamic programming to find the minimum path sum in a grid. This lesson helps you understand movement constraints and optimization strategies to solve complex grid problems efficiently.

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 how to apply dynamic programming to find the minimum path sum in a grid. This lesson helps you understand movement constraints and optimization strategies to solve complex grid problems efficiently.

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