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Catalan Numbers

mediumLast edited: September 30, 2025

Problem
What are catalan numbers
Examples
Example 1
Example 2
Example 3
Solution
Method 1 - Naive Recursion
Intuition
Approach
Recurrence
Code
Complexity
Method 2 - Top-Down DP (Memoization)
Intuition
Approach
Code
Complexity
Method 3 - Bottom-Up DP
Intuition
Approach
Code
Complexity
Method 4 - Direct Combinatorial Formula
Intuition
Approach
Code
Complexity
Method Comparison
Notes

Related Tags

dynamic-programming catalan-numbers

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