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Algorithm Complexity Calculator
See roughly how many operations an algorithm performs for a given input size and complexity class.
Algorithm Complexity
Legendary Big O analysis and performance scaling projection.
EXCELLENT
1000
ESTIMATED OPERATIONS
Performance Insight: For N=1,000,000, a quadratic O(N²) algorithm performs 1 Trillion operations, potentially taking minutes, while an O(N log N) algorithm takes only ~20ms.
About the Algorithm Complexity Calculator
See roughly how many operations an algorithm performs for a given input size and complexity class.
How to use the Algorithm Complexity Calculator
- Enter the Input Size (N).
- Choose the Target Complexity, such as O(N) or O(N²).
- Press Calculate.
Formula and method
The result is the count of basic operations: 1, log₂N, N, N log₂N, N², N³ or 2ᴺ.
Worked example
With N = 1,000, O(log N) is about 10 operations, while O(N²) is 1,000,000.
Tips
- Big-O describes how cost grows as input grows, not the exact running time.
Frequently asked questions
Why is O(2ⁿ) so bad?
It doubles with every extra element and becomes impossible for even moderate N.