






"""simple docstring"""
from __future__ import annotations

from typing import Generic, TypeVar

A_     :					str							=     TypeVar("T")



class 						a_ (      Generic[T]					):







      '''simple docstring'''

      def __init__(self,	lowerCamelCase_   ):

       '''simple docstring'''



       lowerCamelCase__	:     List[str]								=		data  # Assign data
       lowerCamelCase__	:     Node[T] | None								=		None  # Initialize next as null
       lowerCamelCase__	:     Node[T] | None								=		None  # Initialize prev as null



class 						a_ (      Generic[T]					):







      '''simple docstring'''

      def __init__(self   ):

       '''simple docstring'''



       lowerCamelCase__	:     Node[T] | None								=		None




      def      a__				(self,	lowerCamelCase_   ):

       '''simple docstring'''



       if self.head is None:
        lowerCamelCase__	:     Optional[int]								=		Node(lowerCamelCase_   )
       else:
        lowerCamelCase__	:     int								=		Node(lowerCamelCase_   )
        lowerCamelCase__	:     Tuple								=		new_node
        lowerCamelCase__	:     Union[str, Any]								=		self.head
        lowerCamelCase__	:     Tuple								=		None
        lowerCamelCase__	:     List[Any]								=		new_node




      def      a__				(self   ):

       '''simple docstring'''



       if self.head is None:
        return None
       else:
        assert self.head is not None
        lowerCamelCase__	:     int								=		self.head.data
        lowerCamelCase__	:     List[Any]								=		self.head.next
        if self.head is not None:
         lowerCamelCase__	:     Optional[Any]								=		None
        return temp




      def      a__				(self   ):

       '''simple docstring'''



       return self.head.data if self.head is not None else None




      def __len__(self   ):

       '''simple docstring'''



       lowerCamelCase__	:     Optional[int]								=		self.head
       lowerCamelCase__	:     List[str]								=		0
       while temp is not None:
        count += 1
        lowerCamelCase__	:     Dict								=		temp.next
       return count




      def      a__				(self   ):

       '''simple docstring'''



       return self.head is None





      def      a__				(self   ):

       '''simple docstring'''



       print('stack elements are:'   )
       lowerCamelCase__	:     Any								=		self.head
       while temp is not None:
        print(temp.data,	end='->'   )
        lowerCamelCase__	:     Dict								=		temp.next


# Code execution starts here
if __name__ == "__main__":
      # Start with the empty stack
      A_     :					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 			lowerCamelCase_    (		_lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase							):
 if xa == ya == 0 or xa == ya == 0:
  return False
 lowerCamelCase__	:     Tuple								=		xa * xa + ya * ya
 lowerCamelCase__	:     Union[str, Any]								=		xa * xa + ya * ya
 lowerCamelCase__	:     Optional[Any]								=		(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 			lowerCamelCase_    (		_lowerCamelCase = 50							):
 return sum(
     1
     for pta, pta in combinations(product(range(limit + 1							)     ,  repeat=2							)     ,  2							)
     if is_right(*_lowerCamelCase     ,  *_lowerCamelCase							)							)


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

