What is the time complexity of the odd-even sort algorithm?

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What is the time complexity of the odd-even sort algorithm?

The time complexity of the odd-even sort algorithm is O(n^2), where n is the number of elements in the array being sorted.

In the odd-even sort algorithm, the array is divided into two phases: the odd phase and the even phase. During each phase, adjacent elements are compared and swapped if they are in the wrong order. The odd phase compares and swaps elements at odd indices (1, 3, 5, etc.), while the even phase compares and swaps elements at even indices (0, 2, 4, etc.).

In the worst-case scenario, where the array is in reverse order, the algorithm would require n/2 iterations for each phase. Since there are two phases, the total number of iterations would be n. Within each iteration, the algorithm compares and swaps adjacent elements, resulting in a time complexity of O(n).

However, the odd-even sort algorithm has a tendency to perform better on partially sorted or nearly sorted arrays. In such cases, the number of iterations required may be significantly less than n, resulting in a better time complexity.