


'''simple docstring'''







from __future__ import annotations

from typing import Any


class 					__a      :

							def __init__(							self							:     List[str]       ,     __magic_name__							:     int = 6   )					->       None:







													"""simple docstring"""
													UpperCAmelCase_			:      Node | None     						=  None
													UpperCAmelCase_			:      Node | None     						=  None
													self.create_linked_list(__magic_name__   )

							def     UpperCAmelCase__	(							self							:     Optional[Any]       ,     __magic_name__							:     int   )					->       None:







													"""simple docstring"""
													UpperCAmelCase_			:      Tuple     						=  Node()
													UpperCAmelCase_			:      Optional[int]     						=  current_node
													UpperCAmelCase_			:      int     						=  current_node
													UpperCAmelCase_			:      Optional[int]     						=  current_node
													for _ in range(1       ,     __magic_name__   ):
																			UpperCAmelCase_			:      str     						=  Node()
																			UpperCAmelCase_			:      Dict     						=  current_node
																			UpperCAmelCase_			:      Union[str, Any]     						=  previous_node
																			UpperCAmelCase_			:      List[str]     						=  current_node
													UpperCAmelCase_			:      List[Any]     						=  self.front
													UpperCAmelCase_			:      Union[str, Any]     						=  previous_node

							def     UpperCAmelCase__	(							self							:     str   )					->       bool:







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

							def     UpperCAmelCase__	(							self							:     List[str]   )					->       Any | None:







													"""simple docstring"""
													self.check_can_perform_operation()
													return self.front.data if self.front else None

							def     UpperCAmelCase__	(							self							:     Any       ,     __magic_name__							:     Any   )					->       None:







													"""simple docstring"""
													if self.rear is None:
																			return

													self.check_is_full()
													if not self.is_empty():
																			UpperCAmelCase_			:      Any     						=  self.rear.next
													if self.rear:
																			UpperCAmelCase_			:      List[str]     						=  data

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







													"""simple docstring"""
													self.check_can_perform_operation()
													if self.rear is None or self.front is None:
																			return None
													if self.front == self.rear:
																			UpperCAmelCase_			:      Any     						=  self.front.data
																			UpperCAmelCase_			:      Optional[Any]     						=  None
																			return data

													UpperCAmelCase_			:      Dict     						=  self.front
													UpperCAmelCase_			:      Dict     						=  old_front.next
													UpperCAmelCase_			:      Optional[Any]     						=  old_front.data
													UpperCAmelCase_			:      List[str]     						=  None
													return data

							def     UpperCAmelCase__	(							self							:     Tuple   )					->       None:







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



							def     UpperCAmelCase__	(							self							:     str   )					->       None:







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





class 					__a      :

							def __init__(							self							:     Optional[int]   )					->       None:







													"""simple docstring"""
													UpperCAmelCase_			:      Any | None     						=  None
													UpperCAmelCase_			:      Node | None     						=  None
													UpperCAmelCase_			:      Node | None     						=  None


if __name__ == "__main__":
					import doctest

					doctest.testmod()












'''simple docstring'''







class 					__a      :

							def __init__(							self							:     List[Any]       ,     __magic_name__							:     int   )					->       None:







													"""simple docstring"""
													UpperCAmelCase_			:      Optional[Any]     						=  size
													UpperCAmelCase_			:      Tuple     						=  [0] * size
													UpperCAmelCase_			:      Optional[Any]     						=  [0] * size

							@staticmethod
							def     UpperCAmelCase__	(							__magic_name__							:     int   )					->       int:







													"""simple docstring"""
													return index | (index + 1)

							@staticmethod
							def     UpperCAmelCase__	(							__magic_name__							:     int   )					->       int:







													"""simple docstring"""
													return (index & (index + 1)) - 1

							def     UpperCAmelCase__	(							self							:     Optional[int]       ,     __magic_name__							:     int       ,     __magic_name__							:     int   )					->       None:







													"""simple docstring"""
													UpperCAmelCase_			:      int     						=  value
													while index < self.size:
																			UpperCAmelCase_			:      str     						=  self.get_prev(__magic_name__   ) + 1
																			if current_left_border == index:
																									UpperCAmelCase_			:      List[str]     						=  value
																			else:
																									UpperCAmelCase_			:      Optional[int]     						=  max(__magic_name__       ,     __magic_name__       ,     __magic_name__   )
																			UpperCAmelCase_			:      Tuple     						=  self.get_next(__magic_name__   )



							def     UpperCAmelCase__	(							self							:     Any       ,     __magic_name__							:     int       ,     __magic_name__							:     int   )					->       int:







													"""simple docstring"""
													right -= 1  # Because of right is exclusive
													UpperCAmelCase_			:      List[str]     						=  0
													while left <= right:
																			UpperCAmelCase_			:      Optional[Any]     						=  self.get_prev(__magic_name__   )
																			if left <= current_left:
																									UpperCAmelCase_			:      Dict     						=  max(__magic_name__       ,     self.tree[right]   )
																									UpperCAmelCase_			:      Optional[Any]     						=  current_left
																			else:
																									UpperCAmelCase_			:      str     						=  max(__magic_name__       ,     self.arr[right]   )
																									right -= 1
													return result


if __name__ == "__main__":
					import doctest

					doctest.testmod()





