Timsort

sorting-algorithms

Definition

Timsort

Timsort is a hybrid, stable sorting algorithm derived from merge sort and insertion sort. Designed to exploit “natural runs” in real-world data, it achieves a worst-case time complexity of $O(n\log n)$ and a best-case complexity of $O(n)$.

Mechanics

Timsort operates by identifying subsets of data that are already sorted (runs) and merging them efficiently. It uses a binary insertion sort for small arrays or to extend existing runs to a minimum length, followed by a modified merge sort to combine these runs.