In dynamic programming, what is the purpose of the 'base case'?

Practice Questions

Q1
In dynamic programming, what is the purpose of the 'base case'?
  1. To initialize the DP table
  2. To define the recursive function
  3. To handle edge cases
  4. To optimize the algorithm

Questions & Step-by-Step Solutions

In dynamic programming, what is the purpose of the 'base case'?
  • Step 1: Understand that dynamic programming (DP) is a method for solving problems by breaking them down into simpler subproblems.
  • Step 2: Recognize that in DP, we often use a table (or array) to store the results of these subproblems.
  • Step 3: The 'base case' is the simplest version of the problem that can be solved directly without further breakdown.
  • Step 4: The base case provides initial values that are used to fill in the DP table.
  • Step 5: These initial values are essential because they serve as the starting point for solving more complex parts of the problem using recursive relations.
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