Vs (Insertion & Quick Sort)

Description

The time complexity of insertion sort is \(O(n^2)\), while the time complexity of quicksort is \(O(n \log n)\). Although insertion sort has a higher time complexity, it is usually faster in small input sizes.

This conclusion is similar to that for linear and binary search. Algorithms like quicksort that have a time complexity of \(O(n \log n)\) and are based on the divide-and-conquer strategy often involve more unit operations. For small input sizes, the numerical values of \(n^2\) and \(n \log n\) are close, and complexity does not dominate, with the number of unit operations per round playing a decisive role.