


'''simple docstring'''







from __future__ import annotations

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



class 				__lowerCamelCase				:
    """simple docstring"""
    a									=					("""_front""", """_back""", """_len""")



    @dataclass
    class 				__lowerCamelCase				:
        """simple docstring"""
        a									=					None
        a									=					None
        a									=					None




    class 				__lowerCamelCase				:
        """simple docstring"""
        a									=					("""_cur""",)


        def __init__(						self    :							Dict   ,							SCREAMING_SNAKE_CASE    :							Deque._Node | None):
               _A  :			List[Any]											=      cur


        def __iter__(						self    :							List[Any]):
               return self


        def      A					(						self    :							str):







               if self._cur is None:
                      # finished iterating
                      raise StopIteration
               _A  :			Any											=      self._cur.val
               _A  :			str											=      self._cur.next_node

               return val




    def __init__(						self    :							str   ,							SCREAMING_SNAKE_CASE    :							Iterable[Any] | None = None):
           _A  :			Any											=      None
           _A  :			Any											=      None
           _A  :			List[str]											=      0

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


    def      A					(						self    :							Tuple   ,							SCREAMING_SNAKE_CASE    :							Any):
           _A  :			Dict											=      self._Node(SCREAMING_SNAKE_CASE   ,							SCREAMING_SNAKE_CASE   ,							SCREAMING_SNAKE_CASE)
           if self.is_empty():
                  # front = back
                  _A  :			int											=      node
                  _A  :			str											=      1
           else:
                  # connect nodes
                  _A  :			List[str]											=      node
                  _A  :			Dict											=      self._back
                  _A  :			Tuple											=      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      A					(						self    :							List[Any]   ,							SCREAMING_SNAKE_CASE    :							Any):
           _A  :			List[str]											=      self._Node(SCREAMING_SNAKE_CASE   ,							SCREAMING_SNAKE_CASE   ,							SCREAMING_SNAKE_CASE)
           if self.is_empty():
                  # front = back
                  _A  :			Optional[Any]											=      node
                  _A  :			str											=      1
           else:
                  # connect nodes
                  _A  :			Any											=      self._front
                  _A  :			List[Any]											=      node
                  _A  :			Any											=      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      A					(						self    :							Tuple   ,							SCREAMING_SNAKE_CASE    :							Iterable[Any]):







           for val in iterable:
                  self.append(SCREAMING_SNAKE_CASE)


    def      A					(						self    :							Any   ,							SCREAMING_SNAKE_CASE    :							Iterable[Any]):







           for val in iterable:
                  self.appendleft(SCREAMING_SNAKE_CASE)


    def      A					(						self    :							Optional[int]):
           assert not self.is_empty(), "Deque is empty."

           _A  :			Dict											=      self._back
           _A  :			Any											=      self._back.prev_node  # set new back
           # drop the last node - python will deallocate memory automatically
           _A  :			List[str]											=      None

           self._len -= 1

           return topop.val


    def      A					(						self    :							Optional[Any]):
           assert not self.is_empty(), "Deque is empty."

           _A  :			int											=      self._front
           _A  :			Optional[Any]											=      self._front.next_node  # set new front and drop the first node
           _A  :			List[Any]											=      None

           self._len -= 1

           return topop.val


    def      A					(						self    :							Optional[int]):
           return self._front is None


    def __len__(						self    :							Optional[int]):
           return self._len


    def __eq__(						self    :							Optional[int]   ,							SCREAMING_SNAKE_CASE    :							object):







           if not isinstance(SCREAMING_SNAKE_CASE   ,							SCREAMING_SNAKE_CASE):
                  return NotImplemented

           _A  :			Tuple											=      self._front
           _A  :			Dict											=      other._front

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

           while me is not None and oth is not None:
                  # compare every value
                  if me.val != oth.val:
                         return False
                  _A  :			List[Any]											=      me.next_node
                  _A  :			List[str]											=      oth.next_node

           return True


    def __iter__(						self    :							Optional[Any]):
           return Deque._Iterator(self._front)


    def __repr__(						self    :							List[str]):
           _A  :			Optional[int]											=      []
           _A  :			Any											=      self._front
           while aux is not None:
                  # append the values in a list to display
                  values_list.append(aux.val)
                  _A  :			Union[str, Any]											=      aux.next_node

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


if __name__ == "__main__":
   import doctest

   doctest.testmod()










'''simple docstring'''







class 				__lowerCamelCase				:
    """simple docstring"""


    def __init__(						self    :							Optional[Any]):
           _A  :			Optional[Any]											=      [0]
           _A  :			Optional[Any]											=      0


    def      A					(						self    :							List[Any]   ,							SCREAMING_SNAKE_CASE    :							int):
           _A  :			Optional[Any]											=      self.__heap[i]
           while i // 2 > 0:
                  if self.__heap[i] > self.__heap[i // 2]:
                         _A  :			Dict											=      self.__heap[i // 2]
                         _A  :			Optional[Any]											=      temporary
                  i //= 2


    def      A					(						self    :							List[Any]   ,							SCREAMING_SNAKE_CASE    :							int):
           self.__heap.append(SCREAMING_SNAKE_CASE)
           self.__size += 1
           self.__swap_up(self.__size)


    def      A					(						self    :							int   ,							SCREAMING_SNAKE_CASE    :							int):
           while self.__size >= 2 * i:
                  if 2 * i + 1 > self.__size:
                         _A  :			Optional[int]											=      2 * i
                  else:
                         if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                                _A  :			Any											=      2 * i
                         else:
                                _A  :			Optional[Any]											=      2 * i + 1
                  _A  :			List[str]											=      self.__heap[i]
                  if self.__heap[i] < self.__heap[bigger_child]:
                         _A  :			Union[str, Any]											=      self.__heap[bigger_child]
                         _A  :			Optional[int]											=      temporary
                  _A  :			Any											=      bigger_child


    def      A					(						self    :							List[str]):
           _A  :			str											=      self.__heap[1]
           _A  :			Tuple											=      self.__heap[self.__size]
           self.__size -= 1
           self.__heap.pop()
           self.__swap_down(1)
           return max_value


    @property
    def      A					(						self    :							int):
           return self.__heap[1:]


    def __len__(						self    :							List[str]):
           return self.__size


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   # create an instance of BinaryHeap
   A   :  Dict       		=				BinaryHeap()
   binary_heap.insert(6)
   binary_heap.insert(10)
   binary_heap.insert(15)
   binary_heap.insert(12)
   # pop root(max-values because it is max heap)
   print(binary_heap.pop())  # 15
   print(binary_heap.pop())  # 12
   # get the list and size after operations
   print(binary_heap.get_list)
   print(len(binary_heap))






