





from __future__ import annotations

from typing import Any
class     a__					:






						def __init__(     self	,    _A = 6    ):




											"""simple docstring"""



											__lowerCAmelCase            = None
											__lowerCAmelCase            = None
											self.create_linked_list(a_    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A    ):




											"""simple docstring"""



											__lowerCAmelCase            = Node()
											__lowerCAmelCase            = current_node
											__lowerCAmelCase            = current_node
											__lowerCAmelCase            = current_node
											for _ in range(1	,    a_    ):
																__lowerCAmelCase            = Node()
																__lowerCAmelCase            = current_node
																__lowerCAmelCase            = previous_node
																__lowerCAmelCase            = current_node
											__lowerCAmelCase            = self.front
											__lowerCAmelCase            = previous_node






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											return (
											    self.front == self.rear
											    and self.front is not None
											    and self.front.data is None
											)






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											self.check_can_perform_operation()
											return self.front.data if self.front else None






						def        __SCREAMING_SNAKE_CASE(     self	,    _A    ):




											"""simple docstring"""



											if self.rear is None:
																return

											self.check_is_full()
											if not self.is_empty():
																__lowerCAmelCase            = self.rear.next
											if self.rear:
																__lowerCAmelCase            = data






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											self.check_can_perform_operation()
											if self.rear is None or self.front is None:
																return None
											if self.front == self.rear:
																__lowerCAmelCase            = self.front.data
																__lowerCAmelCase            = None
																return data

											__lowerCAmelCase            = self.front
											__lowerCAmelCase            = old_front.next
											__lowerCAmelCase            = old_front.data
											__lowerCAmelCase            = None
											return data






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											if self.is_empty():
																raise Exception("Empty Queue"    )






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											if self.rear and self.rear.next == self.front:
																raise Exception("Full Queue"    )






class     a__					:






						def __init__(     self    ):




											"""simple docstring"""



											__lowerCAmelCase            = None
											__lowerCAmelCase            = None
											__lowerCAmelCase            = None


if __name__ == "__main__":
					import doctest

					doctest.testmod()










def 			_a   (		SCREAMING_SNAKE_CASE_							:       int  ):
					if divisor % 5 == 0 or divisor % 2 == 0:
										return 0
					__lowerCAmelCase            = 1
					__lowerCAmelCase            = 1
					while repunit:
										__lowerCAmelCase            = (10 * repunit + 1) % divisor
										repunit_index += 1
					return repunit_index







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int = 1_00_00_00  ):
					__lowerCAmelCase            = limit - 1
					if divisor % 2 == 0:
										divisor += 1
					while least_divisible_repunit(SCREAMING_SNAKE_CASE_  ) <= limit:
										divisor += 2
					return divisor


if __name__ == "__main__":
					print(f'''{solution() = }''')




