


'''simple docstring'''




from __future__ import annotations

from typing import Generic, TypeVar

_lowerCAmelCase	:		Optional[int]		  =						TypeVar('T')



class 			lowerCAmelCase					(					Generic[T]				):



	def __init__(       self			,       snake_case__     ):
		lowerCAmelCase       :     Optional[int]   				=			data  # Assign data
		lowerCAmelCase       :     Node[T] | None   				=			None  # Initialize next as null
		lowerCAmelCase       :     Node[T] | None   				=			None  # Initialize prev as null



class 			lowerCAmelCase					(					Generic[T]				):



	def __init__(       self     ):
		lowerCAmelCase       :     Node[T] | None   				=			None



	def 					lowercase  (       self			,       snake_case__     ):
		if self.head is None:
			lowerCAmelCase       :     Dict   				=			Node(snake_case__     )
		else:
			lowerCAmelCase       :     Optional[Any]   				=			Node(snake_case__     )
			lowerCAmelCase       :     Tuple   				=			new_node
			lowerCAmelCase       :     Optional[Any]   				=			self.head
			lowerCAmelCase       :     List[str]   				=			None
			lowerCAmelCase       :     Optional[Any]   				=			new_node



	def 					lowercase  (       self     ):
		if self.head is None:
			return None
		else:
			assert self.head is not None
			lowerCAmelCase       :     Optional[int]   				=			self.head.data
			lowerCAmelCase       :     Tuple   				=			self.head.next
			if self.head is not None:
				lowerCAmelCase       :     List[Any]   				=			None
			return temp



	def 					lowercase  (       self     ):
		return self.head.data if self.head is not None else None



	def __len__(       self     ):
		lowerCAmelCase       :     Optional[int]   				=			self.head
		lowerCAmelCase       :     Tuple   				=			0
		while temp is not None:
			count += 1
			lowerCAmelCase       :     List[str]   				=			temp.next
		return count



	def 					lowercase  (       self     ):
		return self.head is None



	def 					lowercase  (       self     ):
		print('stack elements are:'     )
		lowerCAmelCase       :     str   				=			self.head
		while temp is not None:
			print(temp.data			,       end='->'     )
			lowerCAmelCase       :     List[str]   				=			temp.next


# Code execution starts here
if __name__ == "__main__":
				# Start with the empty stack
				_lowerCAmelCase	:		Stack[int]		  =						Stack()

				# Insert 4 at the beginning. So stack becomes 4->None
				print('Stack operations using Doubly LinkedList')
				stack.push(4)

				# Insert 5 at the beginning. So stack becomes 4->5->None
				stack.push(5)

				# Insert 6 at the beginning. So stack becomes 4->5->6->None
				stack.push(6)

				# Insert 7 at the beginning. So stack becomes 4->5->6->7->None
				stack.push(7)

				# Print the stack
				stack.print_stack()

				# Print the top element
				print('\nTop element is ', stack.top())

				# Print the stack size
				print('Size of the stack is ', len(stack))

				# pop the top element
				stack.pop()

				# pop the top element
				stack.pop()

				# two elements have now been popped off
				stack.print_stack()

				# Print True if the stack is empty else False
				print('\nstack is empty:', stack.is_empty())




'''simple docstring'''




from itertools import combinations, product

def       __UpperCamelCase     (     _A     :					int       , _A     :					int       , _A     :					int       , _A     :					int					)     ->   bool:




	"""simple docstring"""





	if xa == ya == 0 or xa == ya == 0:
		return False
	lowerCAmelCase       :     Optional[Any]   				=			xa * xa + ya * ya
	lowerCAmelCase       :     Tuple   				=			xa * xa + ya * ya
	lowerCAmelCase       :     List[str]   				=			(xa - xa) * (xa - xa) + (ya - ya) * (ya - ya)
	return (
	    a_square + b_square == c_square
	    or a_square + c_square == b_square
	    or b_square + c_square == a_square
	)

def       __UpperCamelCase     (     _A     :					int = 50					)     ->   int:




	"""simple docstring"""





	return sum(
	    1
	    for pta, pta in combinations(product(range(limit + 1					)       , repeat=2					)       , 2					)
	    if is_right(*_A       , *_A					)					)


if __name__ == "__main__":
				print(f"""{solution() = }""")
