Greedy vs DP — Algorithm Visualizer

Step 1:Coin Change: make 8 using coins [1, 4, 6] with fewest coins. Let's try Greedy first.

Greedy vs DP

Advanced

Both Greedy and DP solve optimization problems, but they differ fundamentally:

Greedy:

  • Makes the locally optimal choice at each step
  • Fast: usually O(n log n) or O(n)
  • Does NOT always find the global optimum
  • Works when the "greedy choice property" holds

Dynamic Programming:

  • Considers ALL possible choices
  • Finds the globally optimal solution — always
  • Slower: usually O(n × m) time and space
  • Works for problems with overlapping subproblems

Example — Coin Change with coins [1, 4, 6], amount 8:

Greedy picks 6+1+1 = 3 coins (suboptimal!)
DP finds 4+4 = 2 coins (optimal!)

Related algorithms

Frequently asked questions

What is Greedy vs Dynamic Programming?
Both Greedy and DP solve optimization problems, but they differ fundamentally:
What is the complexity of Greedy vs Dynamic Programming?
Greedy vs Dynamic Programming is explained with a step-by-step visualization, including time and space complexity where applicable.
Who is this Greedy vs Dynamic Programming visualizer for?
The Greedy vs Dynamic Programming visualization targets advanced-level learners in the Concepts category. Useful for students, interview prep, and hands-on review.
What algorithms are related to Greedy vs Dynamic Programming?
In the same category (Concepts) you can explore: Big O Notation, Recursion, Two Pointers. Each has an interactive visualization.