What are Overlapping Subproblems?

Updated Apr 28, 2026

Short answer

When the recursive algorithm visits the same subproblems multiple times.

Deep explanation

Dynamic Programming (DP) is an algorithmic paradigm that solves a given complex problem by breaking it into subproblems and stores the results of subproblems to avoid computing the same results again. When the recursive algorithm visits the same subproblems multiple times.

Real-world example

Cashiers giving change using the minimum number of coins.

Common mistakes

  • Creating a memoization table but forgetting to check it before recursing.

Follow-up questions

  • What is the space complexity of this Fibonacci approach?

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