"""
Code contributed by Honey Sharma
Source: https://en.wikipedia.org/wiki/Cycle_sort
"""


def cycle_sort(array: list) -> list:
    """
    >>> cycle_sort([4, 3, 2, 1])
    [1, 2, 3, 4]

    >>> cycle_sort([-4, 20, 0, -50, 100, -1])
    [-50, -4, -1, 0, 20, 100]

    >>> cycle_sort([-.1, -.2, 1.3, -.8])
    [-0.8, -0.2, -0.1, 1.3]

    >>> cycle_sort([])
    []
    """
    ans = 0

    # Pass through the array to find cycles to rotate.
    for cycleStart in range(0, len(array) - 1):
        item = array[cycleStart]

        # finding the position for putting the item.
        pos = cycleStart
        for i in range(cycleStart + 1, len(array)):
            if array[i] < item:
                pos += 1

        # If the item is already present-not a cycle.
        if pos == cycleStart:
            continue

        # Otherwise, put the item there or right after any duplicates.
        while item == array[pos]:
            pos += 1
        array[pos], item = item, array[pos]
        ans += 1

        # Rotate the rest of the cycle.
        while pos != cycleStart:

            # Find where to put the item.
            pos = cycleStart
            for i in range(cycleStart + 1, len(array)):
                if array[i] < item:
                    pos += 1

            # Put the item there or right after any duplicates.
            while item == array[pos]:
                pos += 1
            array[pos], item = item, array[pos]
            ans += 1

    return array


if __name__ == "__main__":
    assert cycle_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
    assert cycle_sort([0, 1, -10, 15, 2, -2]) == [-10, -2, 0, 1, 2, 15]