# Timsort

ARRAY

SORTING

### Problem

Implement the Timsort algorithm to sort an array of integers in ascending order. The function timSort should take an array of integers as input and return a new array containing the sorted integers.

Timsort is a hybrid sorting algorithm derived from Merge Sort and Insertion Sort, designed to perform well on many kinds of real-world data.

### Algorithm

- Divide the array into small segments (traditionally 32 or 64 elements in size). Sort each segment using Insertion Sort.
- Merge the sorted segments using the technique from Merge Sort, with optimization for large, ordered arrays.

### Examples:

`timSort([9,4,7,3,5,8,1,6,2]) // returns [1,2,3,4,5,6,7,8,9]`

### Time Complexity

- Best and Average Case:
`O(n log n)`

, which is typical for efficient sorting algorithms. - Timsort is particularly optimized for partially sorted arrays, where its complexity can approach
`O(n)`

.

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