Program Complexity Analysis Questions Medium
The worst-case complexity refers to the maximum amount of resources (such as time or space) required by an algorithm to solve a problem, given the input that results in the worst possible performance. It represents the upper bound on the algorithm's efficiency.
The average-case complexity, on the other hand, considers the expected amount of resources required by an algorithm to solve a problem, averaged over all possible inputs. It takes into account the probability distribution of inputs and provides a more realistic estimate of the algorithm's performance.
The best-case complexity represents the minimum amount of resources required by an algorithm to solve a problem, given the input that results in the best possible performance. It represents the lower bound on the algorithm's efficiency.
In summary, the worst-case complexity provides an upper bound on the algorithm's performance, the average-case complexity provides an estimate of the algorithm's performance based on the expected inputs, and the best-case complexity represents a lower bound on the algorithm's performance.