



"""simple docstring"""






import math as m






def 	snake_case__  (						__lowerCamelCase							:       Dict				,						__lowerCamelCase							:       Union[str, Any]				,						__lowerCamelCase							:       Tuple=0.0_01      ):
			"""simple docstring"""
			return (f(a + h      ) - f(a - h      )) / (2 * h)






def 	snake_case__  (						__lowerCamelCase							:       int				,						__lowerCamelCase							:       Union[str, Any]=0				,						__lowerCamelCase							:       Tuple=100				,						__lowerCamelCase							:       int=0.00_01				,						__lowerCamelCase							:       Tuple=1e-6				,						__lowerCamelCase							:       Union[str, Any]=False      ):
			"""simple docstring"""
			lowerCamelCase__						:						Tuple						      =xa  # set the initial guess
			lowerCamelCase__						:						Dict						      =[a]
			lowerCamelCase__						:						Any						      =abs(f(__lowerCamelCase      )      )
			lowerCamelCase__						:						Optional[int]						      =lambda __lowerCamelCase      : calc_derivative(__lowerCamelCase				,						__lowerCamelCase				,						h=__lowerCamelCase      )  # noqa: E731  Derivative of f(x)
			for _ in range(__lowerCamelCase      ):
						if fa(__lowerCamelCase      ) == 0:
									raise ValueError('''No converging solution found'''      )
						lowerCamelCase__						:						Tuple						      =a - f(__lowerCamelCase      ) / fa(__lowerCamelCase      )  # Calculate the next estimate
						if logsteps:
									steps.append(__lowerCamelCase      )
						if error < maxerror:
									break
			else:
						raise ValueError('''Iteration limit reached, no converging solution found'''      )
			if logsteps:
						# If logstep is true, then log intermediate steps
						return a, error, steps
			return a, error


if __name__ == "__main__":
		from matplotlib import pyplot as plt

		_lowercase					:					Optional[int] 		=		lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
		_lowercase		,      _lowercase		,      _lowercase					:					Union[str, Any] 		=		newton_raphson(
		    f, xa=1_0, maxiter=1_0_0_0, step=1E-6, logsteps=True
		)
		plt.plot([abs(f(x)) for x in steps])
		plt.xlabel("step")
		plt.ylabel("error")
		plt.show()
		print(f'solution = {{{solution:f}}}, error = {{{error:f}}}')









"""simple docstring"""






def 	snake_case__  (						__lowerCamelCase							:       Union[str, Any]      ):
			"""simple docstring"""
			lowerCamelCase__						:						Dict						      =len(__lowerCamelCase      )
			for i in range(length - 1      ):
						lowerCamelCase__						:						Any						      =False
						for j in range(length - 1 - i      ):
									if collection[j] > collection[j + 1]:
												lowerCamelCase__						:						List[str]						      =True
												lowerCamelCase__      ,  lowerCamelCase__						:						List[str]						      =collection[j + 1], collection[j]
						if not swapped:
									break  # Stop iteration if the collection is sorted.
			return collection


if __name__ == "__main__":
		import doctest
		import time

		doctest.testmod()

		_lowercase					:					str 		=		input("Enter numbers separated by a comma:").strip()
		_lowercase					:					Dict 		=		[int(item) for item in user_input.split(",")]
		_lowercase					:					Optional[Any] 		=		time.process_time()
		print(*bubble_sort(unsorted), sep=",")
		print(f'Processing time: {(time.process_time() - start)%1E9 + 7}')




