What is Dynamic Programming?

Updated Apr 28, 2026

Short answer

An optimization technique that solves complex problems by breaking them into overlapping subproblems.

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. An optimization technique that solves complex problems by breaking them into overlapping subproblems.

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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