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"""
Insertion Sort
Insertion sort builds the sorted list one element at a time by repeatedly
picking the next element and inserting it into its correct position.
Reference: https://en.wikipedia.org/wiki/Insertion_sort
Complexity:
Time: O(n) best / O(n^2) average / O(n^2) worst
Space: O(1)
"""
from __future__ import annotations
def insertion_sort(array: list[int]) -> list[int]:
"""Sort an array in ascending order using insertion sort.
Args:
array: List of integers to sort.
Returns:
A sorted list.
Examples:
>>> insertion_sort([3, 1, 2])
[1, 2, 3]
"""
for i in range(len(array)):
cursor = array[i]
pos = i
while pos > 0 and array[pos - 1] > cursor:
array[pos] = array[pos - 1]
pos -= 1
array[pos] = cursor
return array
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