In dynamic programming, what does the term 'overlapping subproblems' mean?

Practice Questions

Q1
In dynamic programming, what does the term 'overlapping subproblems' mean?
  1. Subproblems that can be solved independently
  2. Subproblems that share sub-subproblems
  3. Subproblems that are never reused
  4. Subproblems that require sorting

Questions & Step-by-Step Solutions

In dynamic programming, what does the term 'overlapping subproblems' mean?
  • Step 1: Understand that a problem can often be broken down into smaller parts called subproblems.
  • Step 2: Recognize that in some cases, these subproblems can be the same or similar.
  • Step 3: Identify that when subproblems are repeated, they are called 'overlapping subproblems'.
  • Step 4: Realize that by solving a subproblem once, we can save its result and use it again later, instead of solving it multiple times.
  • Step 5: Conclude that this reuse of results makes the overall problem-solving process more efficient.
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