




from __future__ import annotations

import math
import random
def  snake_case_					(		SCREAMING_SNAKE_CASE_    ,SCREAMING_SNAKE_CASE_    ,SCREAMING_SNAKE_CASE_    )      ->			list[int]:
							lowercase__  :	List[Any]        =							d * e - 1
							lowercase__  :	Any        =							0
							lowercase__  :	Dict        =							0
							while p == 0:
														lowercase__  :	Dict        =							random.randint(2    ,n - 1    )
														lowercase__  :	int        =							k
														while True:
																					if t % 2 == 0:
																												lowercase__  :	str        =							t // 2
																												lowercase__  :	int        =							(g**t) % n
																												lowercase__  :	List[Any]        =							math.gcd(x - 1    ,SCREAMING_SNAKE_CASE_    )
																												if x > 1 and y > 1:
																																			lowercase__  :	Any        =							y
																																			lowercase__  :	Optional[int]        =							n // y
																																			break  # find the correct factors
																					else:
																												break  # t is not divisible by 2, break and choose another g
							return sorted([p, q]    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()





def  snake_case_					(		SCREAMING_SNAKE_CASE_    )      ->			list:
							lowercase__  :	Optional[Any]        =							len(SCREAMING_SNAKE_CASE_    )

							# Set the gap value to be decreased by a factor of 1.3
							# after each iteration
							lowercase__  :	Tuple        =							1.3

							# Continue sorting until the gap is 1
							while gap > 1:
														# Decrease the gap value
														lowercase__  :	Tuple        =							int(gap / shrink    )

														# Sort the elements using insertion sort
														for i in range(SCREAMING_SNAKE_CASE_    ,len(SCREAMING_SNAKE_CASE_    )    ):
																					lowercase__  :	int        =							collection[i]
																					lowercase__  :	Union[str, Any]        =							i
																					while j >= gap and collection[j - gap] > temp:
																												lowercase__  :	str        =							collection[j - gap]
																												j -= gap
																					lowercase__  :	List[Any]        =							temp

							return collection


if __name__ == "__main__":
						import doctest

						doctest.testmod()