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Which dynamic programming problem involves finding the minimum cost to reach the

Practice Questions

Q1
Which dynamic programming problem involves finding the minimum cost to reach the last cell in a grid?
  1. Longest increasing subsequence.
  2. Edit distance.
  3. Minimum path sum.
  4. Subset sum problem.

Questions & Step-by-Step Solutions

Which dynamic programming problem involves finding the minimum cost to reach the last cell in a grid?
  • Step 1: Understand that we have a grid (a table of numbers) where each cell has a cost associated with it.
  • Step 2: The goal is to start from the top-left cell of the grid and reach the bottom-right cell.
  • Step 3: You can only move either down or to the right at any point in time.
  • Step 4: The minimum path sum problem is about finding the path that has the lowest total cost from the start to the end.
  • Step 5: To solve this, you will sum the costs of the cells along the path you take.
  • Step 6: Use dynamic programming to keep track of the minimum cost to reach each cell in the grid.
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