




from __future__ import annotations

from collections.abc import Iterable
from dataclasses import dataclass
from typing import Any







class 		__UpperCAmelCase:





     """simple docstring"""



     __UpperCAmelCase						:			Union[str, Any]							=     ("""_front""", """_back""", """_len""")







     @dataclass
     class 		__UpperCAmelCase:





          """simple docstring"""



          __UpperCAmelCase						:			Any							=     None
          __UpperCAmelCase						:			Dict							=     None
          __UpperCAmelCase						:			Optional[Any]							=     None







     class 		__UpperCAmelCase:





          """simple docstring"""



          __UpperCAmelCase						:			Any							=     ("""_cur""",)

          def __init__(   self			:							Optional[Any]    ,					A			:							Optional[int]     )      ->      List[str]:






              """simple docstring"""
              a__  			=							cur

          def __iter__(   self			:							List[Any]     )      ->      Tuple:






              """simple docstring"""
              return self






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






              """simple docstring"""



              if self._cur is None:
                  # finished iterating
                  raise StopIteration
              a__  			=							self._cur.val
              a__  			=							self._cur.next_node

              return val






     def __init__(   self			:							Any    ,					A			:							Union[str, Any] = None     )      ->      Union[str, Any]:






         """simple docstring"""
         a__  			=							None
         a__  			=							None
         a__  			=							0

         if iterable is not None:
             # append every value to the deque
             for val in iterable:
                 self.append(__lowerCamelCase     )

     def 					__SCREAMING_SNAKE_CASE		(   self			:							int    ,					A			:							int     )      ->      int:






         """simple docstring"""
         a__  			=							self._Node(__lowerCamelCase    ,					__lowerCamelCase    ,					__lowerCamelCase     )
         if self.is_empty():
             # front = back
             a__  			=							node
             a__  			=							1
         else:
             # connect nodes
             a__  			=							node
             a__  			=							self._back
             a__  			=							node  # assign new back to the new node

             self._len += 1

             # make sure there were no errors
             assert not self.is_empty(), "Error on appending value."

     def 					__SCREAMING_SNAKE_CASE		(   self			:							Union[str, Any]    ,					A			:							List[Any]     )      ->      str:






         """simple docstring"""
         a__  			=							self._Node(__lowerCamelCase    ,					__lowerCamelCase    ,					__lowerCamelCase     )
         if self.is_empty():
             # front = back
             a__  			=							node
             a__  			=							1
         else:
             # connect nodes
             a__  			=							self._front
             a__  			=							node
             a__  			=							node  # assign new front to the new node

             self._len += 1

             # make sure there were no errors
             assert not self.is_empty(), "Error on appending value."

     def 					__SCREAMING_SNAKE_CASE		(   self			:							Optional[Any]    ,					A			:							int     )      ->      Optional[Any]:






         """simple docstring"""



         for val in iterable:
             self.append(__lowerCamelCase     )

     def 					__SCREAMING_SNAKE_CASE		(   self			:							Optional[Any]    ,					A			:							List[Any]     )      ->      Any:






         """simple docstring"""



         for val in iterable:
             self.appendleft(__lowerCamelCase     )

     def 					__SCREAMING_SNAKE_CASE		(   self			:							Optional[Any]     )      ->      Tuple:






         """simple docstring"""
         assert not self.is_empty(), "Deque is empty."

         a__  			=							self._back
         a__  			=							self._back.prev_node  # set new back
         # drop the last node - python will deallocate memory automatically
         a__  			=							None

         self._len -= 1

         return topop.val

     def 					__SCREAMING_SNAKE_CASE		(   self			:							List[Any]     )      ->      Tuple:






         """simple docstring"""
         assert not self.is_empty(), "Deque is empty."

         a__  			=							self._front
         a__  			=							self._front.next_node  # set new front and drop the first node
         a__  			=							None

         self._len -= 1

         return topop.val

     def 					__SCREAMING_SNAKE_CASE		(   self			:							str     )      ->      Dict:






         """simple docstring"""
         return self._front is None

     def __len__(   self			:							Optional[int]     )      ->      List[Any]:






         """simple docstring"""
         return self._len

     def __eq__(   self			:							int    ,					A			:							Optional[int]     )      ->      str:






         """simple docstring"""



         if not isinstance(__lowerCamelCase    ,					__lowerCamelCase     ):
             return NotImplemented

         a__  			=							self._front
         a__  			=							other._front

         # if the length of the dequeues are not the same, they are not equal
         if len(self     ) != len(__lowerCamelCase     ):
             return False

         while me is not None and oth is not None:
             # compare every value
             if me.val != oth.val:
                 return False
             a__  			=							me.next_node
             a__  			=							oth.next_node

         return True

     def __iter__(   self			:							List[str]     )      ->      Optional[Any]:






         """simple docstring"""
         return Deque._Iterator(self._front     )






     def __repr__(   self			:							Tuple     )      ->      Optional[int]:






         """simple docstring"""
         a__  			=							[]
         a__  			=							self._front
         while aux is not None:
             # append the values in a list to display
             values_list.append(aux.val     )
             a__  			=							aux.next_node

         return f"""[{', '.join(repr(__lowerCamelCase     ) for val in values_list     )}]"""


if __name__ == "__main__":
 import doctest

 doctest.testmod()







"""simple docstring"""







def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     int:







     '''simple docstring'''


     if not isinstance(_SCREAMING_SNAKE_CASE  ,       _SCREAMING_SNAKE_CASE						) or not all(
         isinstance(_SCREAMING_SNAKE_CASE  ,       _SCREAMING_SNAKE_CASE						) and item >= 0 for item in citations						):
          raise ValueError('The citations should be a list of non negative integers.'						)

     citations.sort()
     __A					:					Any								=		len(_SCREAMING_SNAKE_CASE						)

     for i in range(_SCREAMING_SNAKE_CASE						):
          if citations[len_citations - 1 - i] <= i:
               return i

     return len_citations


if __name__ == "__main__":
       import doctest

       doctest.testmod()



