



def 			__lowercase     (				a__     )       ->				str:
							__SCREAMING_SNAKE_CASE								=      1
							__SCREAMING_SNAKE_CASE								=      0
							__SCREAMING_SNAKE_CASE								=      1
							__SCREAMING_SNAKE_CASE								=      1
							__SCREAMING_SNAKE_CASE								=      3
							__SCREAMING_SNAKE_CASE								=      3
							__SCREAMING_SNAKE_CASE								=      limit
							__SCREAMING_SNAKE_CASE								=      0

							__SCREAMING_SNAKE_CASE								=      ''
							while counter != decimal + 1:
														if 4 * q + r - t < n * t:
																					result += str(a__     )
																					if counter == 0:
																												result += "."

																					if decimal == counter:
																												break

																					counter += 1
																					__SCREAMING_SNAKE_CASE								=      10 * (r - n * t)
																					__SCREAMING_SNAKE_CASE								=      ((10 * (3 * q + r)) // t) - 10 * n
																					q *= 10
																					__SCREAMING_SNAKE_CASE								=      nr
														else:
																					__SCREAMING_SNAKE_CASE								=      (2 * q + r) * l
																					__SCREAMING_SNAKE_CASE								=      (q * (7 * k) + 2 + (r * l)) // (t * l)
																					q *= k
																					t *= l
																					l += 2
																					k += 1
																					__SCREAMING_SNAKE_CASE								=      nn
																					__SCREAMING_SNAKE_CASE								=      nr
							return result






def 			__lowercase     (				)       ->				None:
							print(f"""{calculate_pi(50     ) = }"""     )
							import doctest

							doctest.testmod()


if __name__ == "__main__":
			main()











from __future__ import annotations

class      UpperCAmelCase_						:

						'''simple docstring'''




						def __init__(					self   ,							_A	):







													'''simple docstring'''

													__SCREAMING_SNAKE_CASE								=      value
													__SCREAMING_SNAKE_CASE								=      None
													__SCREAMING_SNAKE_CASE								=      None







class      UpperCAmelCase_						:

						'''simple docstring'''




						UpperCamelCase__    :				int






						def __init__(					self	):







													'''simple docstring'''

													__SCREAMING_SNAKE_CASE								=      0






						def  _A			(					self   ,							_A   ,							_A	):







													'''simple docstring'''

													if node is None:
																				return

													if path_sum == self.target:
																				self.paths += 1

													if node.left:
																				self.depth_first_search(node.left   ,							path_sum + node.left.value	)
													if node.right:
																				self.depth_first_search(node.right   ,							path_sum + node.right.value	)






						def  _A			(					self   ,							_A   ,							_A = None	):







													'''simple docstring'''

													if node is None:
																				return 0
													if target is not None:
																				__SCREAMING_SNAKE_CASE								=      target

													self.depth_first_search(_A   ,							node.value	)
													self.path_sum(node.left	)
													self.path_sum(node.right	)

													return self.paths


if __name__ == "__main__":
			import doctest

			doctest.testmod()






