03/08 Lecture Material

Measuring an Algorithm's Efficiency

• How To Measure? - Time or Space
• What to Measure? - Worst Case, Average Case, Best Case
• Figure 9-1, Figure 9-2
• Big Oh Notation
• O(1) < O(log n) < O(n) < O(n*n) < O(2^n) < O(n!)
• Figure 9-5

Useful Math

• 1 + 2 + ... + n = n (n + 1) / 2
• Floor Function
• Ceiling Function