"""simple docstring"""
import random

from .binary_exp_mod import bin_exp_mod





def 				lowerCAmelCase__      (     _UpperCamelCase    :			Tuple	,     _UpperCamelCase    :			Optional[int]=1_0_0_0   )   ->			Any:





						"""simple docstring"""






						if n < 2:
												return False

						if n % 2 == 0:
												return n == 2

						# this means n is odd
						snake_case        =     n - 1
						snake_case        =     0
						while d % 2 == 0:
												d /= 2
												exp += 1

						# n - 1=d*(2**exp)
						snake_case        =     0
						while count < prec:
												snake_case        =     random.randint(2	,     n - 1   )
												snake_case        =     bin_exp_mod(_UpperCamelCase	,     _UpperCamelCase	,     _UpperCamelCase   )
												if b != 1:
																		snake_case        =     True
																		for _ in range(_UpperCamelCase   ):
																								if b == n - 1:
																														snake_case        =     False
																														break
																								snake_case        =     b * b
																								b %= n
																		if flag:
																								return False
																		count += 1
						return True


if __name__ == "__main__":
					SCREAMING_SNAKE_CASE__   =					abs(int(input("Enter bound : ").strip()))
					print("Here's the list of primes:")
					print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))



"""simple docstring"""
from __future__ import annotations

from typing import Any



class 					lowerCAmelCase_      (     lowerCAmelCase   ):



				"""simple docstring"""
				pass





class 					lowerCAmelCase_      :



				"""simple docstring"""

				def __init__(			self						,      lowerCAmelCase      ):






										"""simple docstring"""

										snake_case        =     data
										snake_case        =     None

				def __iter__(			self      ):






										"""simple docstring"""

										snake_case        =     self
										snake_case        =     []
										while node:
																if node in visited:
																						raise ContainsLoopError
																visited.append(lowerCAmelCase      )
																yield node.data
																snake_case        =     node.next_node

				@property
				def 						snake_case	(			self      ):






										"""simple docstring"""

										try:
																list(self      )
																return False
										except ContainsLoopError:
																return True


if __name__ == "__main__":
					SCREAMING_SNAKE_CASE__   =					Node(1)
					SCREAMING_SNAKE_CASE__   =					Node(2)
					SCREAMING_SNAKE_CASE__   =					Node(3)
					SCREAMING_SNAKE_CASE__   =					Node(4)
					print(root_node.has_loop)  # False
					SCREAMING_SNAKE_CASE__   =					root_node.next_node
					print(root_node.has_loop)  # True

					SCREAMING_SNAKE_CASE__   =					Node(5)
					SCREAMING_SNAKE_CASE__   =					Node(6)
					SCREAMING_SNAKE_CASE__   =					Node(5)
					SCREAMING_SNAKE_CASE__   =					Node(6)
					print(root_node.has_loop)  # False

					SCREAMING_SNAKE_CASE__   =					Node(1)
					print(root_node.has_loop)  # False


