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In dynamic programming, what is the term for breaking a problem into smaller sub

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Question: In dynamic programming, what is the term for breaking a problem into smaller subproblems?

Options:

  1. Memoization
  2. Recursion
  3. Optimal substructure
  4. Overlapping subproblems

Correct Answer: Optimal substructure

Solution: 

Optimal substructure refers to the property that a problem can be broken down into smaller, simpler subproblems.

In dynamic programming, what is the term for breaking a problem into smaller sub

Practice Questions

Q1
In dynamic programming, what is the term for breaking a problem into smaller subproblems?
  1. Memoization
  2. Recursion
  3. Optimal substructure
  4. Overlapping subproblems

Questions & Step-by-Step Solutions

In dynamic programming, what is the term for breaking a problem into smaller subproblems?
  • Step 1: Understand that dynamic programming is a method used to solve complex problems by breaking them down into simpler parts.
  • Step 2: Identify the term 'optimal substructure' which describes the property of a problem that allows it to be divided into smaller subproblems.
  • Step 3: Recognize that these smaller subproblems can be solved independently and their solutions can be combined to solve the original problem.
  • Optimal Substructure – The property that a problem can be broken down into smaller, simpler subproblems whose solutions can be combined to solve the original problem.
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