Complexity Calculator

Analyze and calculate algorithmic complexity, time complexity, and space complexity

Enter the size of input data

Understanding Computational Complexity

Common Complexity Classes

1. Time Complexity

  • Constant - O(1)
  • Logarithmic - O(log n)
  • Linear - O(n)
  • Linearithmic - O(n log n)

2. Space Complexity

  • In-place - O(1)
  • Linear space - O(n)
  • Quadratic space - O(n²)
  • Recursive stack - O(log n)

Algorithm Comparison

Algorithm Best Case Average Case Worst Case Space
Quick Sort O(n log n) O(n log n) O(n²) O(log n)
Merge Sort O(n log n) O(n log n) O(n log n) O(n)
Binary Search O(1) O(log n) O(log n) O(1)
Hash Table O(1) O(1) O(n) O(n)

Analysis Tips

Consider these factors when analyzing complexity:

  • Input size and distribution
  • Hardware constraints
  • Memory usage patterns
  • Algorithm stability
  • Trade-offs between time and space