Merge Sort

def merge_sort(collection):
    """Pure implementation of the merge sort algorithm in Python

    :param collection: some mutable ordered collection with heterogeneous
    comparable items inside
    :return: the same collection ordered by ascending

    Examples:
    >>> merge_sort([0, 5, 3, 2, 2])
    [0, 2, 2, 3, 5]

    >>> merge_sort([])
    []

    >>> merge_sort([-2, -5, -45])
    [-45, -5, -2]
    """

    def merge(left, right):
        """merge left and right
        :param left: left collection
        :param right: right collection
        :return: merge result
        """
        result = []
        while left and right:
            result.append((left if left[0] <= right[0] else right).pop(0))
        return result + left + right

    if len(collection) <= 1:
        return collection
    mid = len(collection) // 2

    return merge(merge_sort(collection[:mid]), merge_sort(collection[mid:]))

Complexity: O(n \log{}n)O(nlogn)