




class __snake_case     :







   def __init__( self						:		List[Any]):

        """simple docstring"""


        UpperCAmelCase_		=				[0]
        UpperCAmelCase_		=				0







   def lowerCamelCase		( self						:		Any   ,		_snake_case						:		int):

        """simple docstring"""


        UpperCAmelCase_		=				self.__heap[i]
        while i // 2 > 0:
             if self.__heap[i] > self.__heap[i // 2]:
                  UpperCAmelCase_		=				self.__heap[i // 2]
                  UpperCAmelCase_		=				temporary
             i //= 2







   def lowerCamelCase		( self						:		Optional[int]   ,		_snake_case						:		int):

        """simple docstring"""


        self.__heap.append(_snake_case)
        self.__size += 1
        self.__swap_up(self.__size)







   def lowerCamelCase		( self						:		Tuple   ,		_snake_case						:		int):

        """simple docstring"""


        while self.__size >= 2 * i:
             if 2 * i + 1 > self.__size:
                  UpperCAmelCase_		=				2 * i
             else:
                  if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                       UpperCAmelCase_		=				2 * i
                  else:
                       UpperCAmelCase_		=				2 * i + 1
             UpperCAmelCase_		=				self.__heap[i]
             if self.__heap[i] < self.__heap[bigger_child]:
                  UpperCAmelCase_		=				self.__heap[bigger_child]
                  UpperCAmelCase_		=				temporary
             UpperCAmelCase_		=				bigger_child







   def lowerCamelCase		( self						:		List[Any]):

        """simple docstring"""


        UpperCAmelCase_		=				self.__heap[1]
        UpperCAmelCase_		=				self.__heap[self.__size]
        self.__size -= 1
        self.__heap.pop()
        self.__swap_down(1)
        return max_value







   @property
   def lowerCamelCase		( self						:		int):

        """simple docstring"""


        return self.__heap[1:]







   def __len__( self						:		Optional[Any]):

        """simple docstring"""


        return self.__size


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    # create an instance of BinaryHeap
    snake_case_					:					Union[str, Any]       						=			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))












from .stack import Stack


def   A		(__A  :       str			)  -> bool:







     """simple docstring"""


     UpperCAmelCase_		=				Stack()
     UpperCAmelCase_		=				{'''(''': ''')''', '''[''': ''']''', '''{''': '''}'''}
     for bracket in parentheses:
          if bracket in bracket_pairs:
               stack.push(__A			)
          elif bracket in (")", "]", "}"):
               if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
                    return False
     return stack.is_empty()


if __name__ == "__main__":
    from doctest import testmod

    testmod()

    snake_case_					:					Dict       						=			["((()))", "((())", "(()))"]
    print("Balanced parentheses demonstration:\n")
    for example in examples:
        snake_case_					:					Optional[int]       						=			"" if balanced_parentheses(example) else "not "
        print(f"{example} is {not_str}balanced")






