
"""simple docstring"""






class      _SCREAMING_SNAKE_CASE   :






			def __init__(   self			)     ->	int:
						lowerCAmelCase_       :int     	=    [0]
						lowerCAmelCase_       :str     	=    0






			def 					__lowerCAmelCase					(   self			,  __A			)     ->	None:
						lowerCAmelCase_       :List[str]     	=    self.__heap[i]
						while i // 2 > 0:
									if self.__heap[i] > self.__heap[i // 2]:
												lowerCAmelCase_       :List[str]     	=    self.__heap[i // 2]
												lowerCAmelCase_       :int     	=    temporary
									i //= 2






			def 					__lowerCAmelCase					(   self			,  __A			)     ->	None:
						self.__heap.append(__A			)
						self.__size += 1
						self.__swap_up(self.__size			)






			def 					__lowerCAmelCase					(   self			,  __A			)     ->	None:
						while self.__size >= 2 * i:
									if 2 * i + 1 > self.__size:
												lowerCAmelCase_       :str     	=    2 * i
									else:
												if self.__heap[2 * i] > self.__heap[2 * i + 1]:
															lowerCAmelCase_       :Tuple     	=    2 * i
												else:
															lowerCAmelCase_       :Tuple     	=    2 * i + 1
									lowerCAmelCase_       :Optional[Any]     	=    self.__heap[i]
									if self.__heap[i] < self.__heap[bigger_child]:
												lowerCAmelCase_       :str     	=    self.__heap[bigger_child]
												lowerCAmelCase_       :Dict     	=    temporary
									lowerCAmelCase_       :Optional[Any]     	=    bigger_child






			def 					__lowerCAmelCase					(   self			)     ->	int:
						lowerCAmelCase_       :Optional[int]     	=    self.__heap[1]
						lowerCAmelCase_       :int     	=    self.__heap[self.__size]
						self.__size -= 1
						self.__heap.pop()
						self.__swap_down(1			)
						return max_value






			@property
			def 					__lowerCAmelCase					(   self			)     ->	List[Any]:
						return self.__heap[1:]






			def __len__(   self			)     ->	Optional[Any]:
						return self.__size


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				# create an instance of BinaryHeap
				__UpperCAmelCase 					=    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))








"""simple docstring"""






from __future__ import annotations

from typing import Generic, TypeVar

__UpperCAmelCase 					=    TypeVar('T')




class      _SCREAMING_SNAKE_CASE   (     A__				):
			pass




class      _SCREAMING_SNAKE_CASE   (     A__				):
			pass




class      _SCREAMING_SNAKE_CASE   (     Generic[T]				):






			def __init__(   self			,  __A = 10			)     ->	Optional[int]:
						lowerCAmelCase_       :list[T]     	=    []
						lowerCAmelCase_       :int     	=    limit






			def __bool__(   self			)     ->	bool:
						return bool(self.stack			)






			def __str__(   self			)     ->	str:
						return str(self.stack			)






			def 					__lowerCAmelCase					(   self			,  __A			)     ->	None:
						if len(self.stack			) >= self.limit:
									raise StackOverflowError
						self.stack.append(__A			)






			def 					__lowerCAmelCase					(   self			)     ->	T:
						if not self.stack:
									raise StackUnderflowError
						return self.stack.pop()






			def 					__lowerCAmelCase					(   self			)     ->	T:
						if not self.stack:
									raise StackUnderflowError
						return self.stack[-1]






			def 					__lowerCAmelCase					(   self			)     ->	bool:
						return not bool(self.stack			)






			def 					__lowerCAmelCase					(   self			)     ->	bool:
						return self.size() == self.limit






			def 					__lowerCAmelCase					(   self			)     ->	int:
						return len(self.stack			)






			def __contains__(   self			,  __A			)     ->	bool:
						return item in self.stack






def 		_snake_case			(      )    ->							None:


			'''simple docstring'''





			lowerCAmelCase_       :Stack[int]     	=    Stack(1_0						)
			assert bool(lowercase__						) is False
			assert stack.is_empty() is True
			assert stack.is_full() is False
			assert str(lowercase__						) == "[]"

			try:
						lowerCAmelCase_       :Optional[Any]     	=    stack.pop()
						raise AssertionError  # This should not happen
			except StackUnderflowError:
						assert True  # This should happen

			try:
						lowerCAmelCase_       :Optional[int]     	=    stack.peek()
						raise AssertionError  # This should not happen
			except StackUnderflowError:
						assert True  # This should happen

			for i in range(1_0						):
						assert stack.size() == i
						stack.push(lowercase__						)

			assert bool(lowercase__						)
			assert not stack.is_empty()
			assert stack.is_full()
			assert str(lowercase__						) == str(list(range(1_0						)						)						)
			assert stack.pop() == 9
			assert stack.peek() == 8

			stack.push(1_0_0						)
			assert str(lowercase__						) == str([0, 1, 2, 3, 4, 5, 6, 7, 8, 1_0_0]						)

			try:
						stack.push(2_0_0						)
						raise AssertionError  # This should not happen
			except StackOverflowError:
						assert True  # This should happen

			assert not stack.is_empty()
			assert stack.size() == 1_0

			assert 5 in stack
			assert 5_5 not in stack


if __name__ == "__main__":
				test_stack()






