def permute(nums: list[int]) -> list[list[int]]:
"""
Return all permutations.
>>> from itertools import permutations
>>> numbers= [1,2,3]
>>> all(list(nums) in permute(numbers) for nums in permutations(numbers))
True
"""
result = []
if len(nums) == 1:
return [nums.copy()]
for _ in range(len(nums)):
n = nums.pop(0)
permutations = permute(nums)
for perm in permutations:
perm.append(n)
result.extend(permutations)
nums.append(n)
return result
if __name__ == "__main__":
import doctest
doctest.testmod()