




from __future__ import annotations

import math
import random







def  lowerCAmelCase  (	UpperCAmelCase,	UpperCAmelCase,	UpperCAmelCase       )  ->list[int]:






					"""simple docstring"""






					__magic_name__					:							Any		   =							d * e - 1
					__magic_name__					:							str		   =							0
					__magic_name__					:							Optional[int]		   =							0
					while p == 0:
										__magic_name__					:							Tuple		   =							random.randint(2,	n - 1       )
										__magic_name__					:							str		   =							k
										while True:
															if t % 2 == 0:
																				__magic_name__					:							Dict		   =							t // 2
																				__magic_name__					:							int		   =							(g**t) % n
																				__magic_name__					:							str		   =							math.gcd(x - 1,	UpperCAmelCase       )
																				if x > 1 and y > 1:
																									__magic_name__					:							Any		   =							y
																									__magic_name__					:							Tuple		   =							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()









from typing import Any





class 		A__				:






	def __init__(	self						)      ->   int:




						"""simple docstring"""






						__magic_name__					:							List[str]		   =							[]
						__magic_name__					:							str		   =							0






	def __str__(	self						)      ->   Union[str, Any]:




						"""simple docstring"""






						__magic_name__					:							str		   =							'''<''' + str(self.stack						)[1:-1] + '''>'''
						return printed






	def  lowercase      (	self				,     lowerCamelCase						)      ->   None:




						"""simple docstring"""






						self.stack.append(lowerCamelCase						)
						__magic_name__					:							Tuple		   =							self.length + 1






	def  lowercase      (	self						)      ->   Any:




						"""simple docstring"""






						self.rotate(1						)
						__magic_name__					:							Union[str, Any]		   =							self.stack[self.length - 1]
						__magic_name__					:							Union[str, Any]		   =							self.stack[:-1]
						self.rotate(self.length - 1						)
						__magic_name__					:							List[Any]		   =							self.length - 1
						return dequeued






	def  lowercase      (	self				,     lowerCamelCase						)      ->   None:




						"""simple docstring"""






						for _ in range(lowerCamelCase						):
											__magic_name__					:							str		   =							self.stack[0]
											__magic_name__					:							Optional[Any]		   =							self.stack[1:]
											self.put(lowerCamelCase						)
											__magic_name__					:							List[Any]		   =							self.length - 1






	def  lowercase      (	self						)      ->   Any:




						"""simple docstring"""






						__magic_name__					:							Optional[int]		   =							self.get()
						self.put(lowerCamelCase						)
						self.rotate(self.length - 1						)
						return front






	def  lowercase      (	self						)      ->   int:




						"""simple docstring"""






						return self.length



