Algorithms - kenhendricks00/DiscreteMathematics GitHub Wiki
Algorithm
a process or set of rules to be followed in calculations or other problem-solving operations
Features of an Algorithm
- Input
- Output
- Correctness
- Finiteness
- Effectiveness
- Generality
- Definiteness
Complexity: O(n)
Time Complexity: time required for the program to execute
Space Complexity: memory space required for the program to execute
General rule
constant < log < linear < nlogn < quadratic < cubic < exponential
Examples
Find the complexity for each function
f(n) = 3 + 1/2n
f(n) = O(1)
f(n) = n^3 + 2n
f(n) = O(n^3)
f(n) = logn + nlogn
f(n) = O(nlogn)