
"""simple docstring"""
from itertools import combinations, product
def 					a__ ( a :					int							,  a :					int							,  a :					int							,  a :					int		):

  """simple docstring"""







  if xa == ya == 0 or xa == ya == 0:
    return False
  _snake_case  :    Any            = xa * xa + ya * ya
  _snake_case  :    Union[str, Any]            = xa * xa + ya * ya
  _snake_case  :    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 					a__ ( a :					int = 50		):

  """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() = }')









import random




class 							__A	:





				"""simple docstring"""







				def __init__(					self				,    lowerCamelCase__				,    lowerCamelCase__       ):




									"""simple docstring"""

									__UpperCamelCase :   Optional[Any]									=x
									__UpperCamelCase :   int									=y


				def  __lowercase				(					self       ):




									"""simple docstring"""

									return (self.x**2 + self.y**2) <= 1







				@classmethod
				def  __lowercase				(					cls       ):




									"""simple docstring"""

									return cls(x=random.random()				,    y=random.random()       )






def 				A	(			a_   )	->		float:
					if number_of_simulations < 1:
										raise ValueError('At least one simulation is necessary to estimate PI.'   )

					__UpperCamelCase :   List[str]									=0
					for _ in range(a_   ):
										__UpperCamelCase :   Optional[int]									=Point.random_unit_square()

										if random_point.is_in_unit_circle():
															number_in_unit_circle += 1

					return 4 * number_in_unit_circle / number_of_simulations


if __name__ == "__main__":
							# import doctest

							# doctest.testmod()
							from math import pi

							A_			:Optional[int]	    =		'''Please enter the desired number of Monte Carlo simulations: '''
							A_			:int	    =		estimate_pi(int(input(prompt).strip()))
							print(f"An estimate of PI is {my_pi} with an error of {abs(my_pi - pi)}")

