




from __future__ import annotations

import math
import random


def 							__SCREAMING_SNAKE_CASE  (      snake_case_     ,   snake_case_     ,   snake_case_						):

						'''simple docstring'''


						_UpperCAmelCase													=					d * e - 1
						_UpperCAmelCase													=					0
						_UpperCAmelCase													=					0
						while p == 0:
												_UpperCAmelCase													=					random.randint(2     ,   n - 1						)
												_UpperCAmelCase													=					k
												while True:
																		if t % 2 == 0:
																								_UpperCAmelCase													=					t // 2
																								_UpperCAmelCase													=					(g**t) % n
																								_UpperCAmelCase													=					math.gcd(x - 1     ,   snake_case_						)
																								if x > 1 and y > 1:
																														_UpperCAmelCase													=					y
																														_UpperCAmelCase													=					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()










class    __lowerCAmelCase			:







			def __init__(	self   :      Dict   ,   snake_case__   :      List[str]=None				):




									"""simple docstring"""


									_UpperCAmelCase													=					data
									_UpperCAmelCase													=					None







			def __repr__(	self   :      Union[str, Any]				):




									"""simple docstring"""


									_UpperCAmelCase													=					""
									_UpperCAmelCase													=					self
									while temp:
															string_rep += F"""<{temp.data}> ---> """
															_UpperCAmelCase													=					temp.next
									string_rep += "<END>"
									return string_rep




def 							__SCREAMING_SNAKE_CASE  (      snake_case_						):

						'''simple docstring'''


						if not elements_list:
												raise Exception("The Elements List is empty"						)

						# Set first element as Head
						_UpperCAmelCase													=					Node(elements_list[0]						)
						_UpperCAmelCase													=					head
						# Loop through elements from position 1
						for data in elements_list[1:]:
												_UpperCAmelCase													=					Node(snake_case_						)
												_UpperCAmelCase													=					current.next
						return head


lowercase_     :    str      =			[1, 3, 5, 32, 44, 12, 43]
print(f"""List: {list_data}""")
print('Creating Linked List from List.')
lowercase_     :    Dict      =			make_linked_list(list_data)
print('Linked List:')





print(linked_list)




