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"""

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([])

[]

"""

array_len = len(array)

for cycle_start in range(0, array_len - 1):

item = array[cycle_start]

pos = cycle_start

for i in range(cycle_start + 1, array_len):

if array[i] < item:

pos += 1

if pos == cycle_start:

continue

while item == array[pos]:

pos += 1

array[pos], item = item, array[pos]

while pos != cycle_start:

pos = cycle_start

for i in range(cycle_start + 1, array_len):

if array[i] < item:

pos += 1

while item == array[pos]:

pos += 1

array[pos], item = item, array[pos]

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]

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