


from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403

def 			lowerCAmelCase__					(     a__:						str     ,    a__:						complex     ,    a__:						str = "x"     ,    a__:						float = 1_0**-1_0     ,    a__:						int = 1     ,    )    ->						complex:


							'''simple docstring'''





							_UpperCAmelCase											=     symbols(a__			)
							_UpperCAmelCase											=     lambdify(a__     ,    a__			)
							_UpperCAmelCase											=     lambdify(a__     ,    diff(a__     ,    a__			)			)

							_UpperCAmelCase											=     starting_point

							while True:
														if diff_function(a__			) != 0:
																					_UpperCAmelCase											=     prev_guess - multiplicity * func(a__			) / diff_function(
																					    a__			)
														else:
																					raise ZeroDivisionError('Could not find root'			) from None

														# Precision is checked by comparing the difference of consecutive guesses
														if abs(next_guess - prev_guess			) < precision:
																					return next_guess

														_UpperCAmelCase											=     next_guess


# Let's Execute
if __name__ == "__main__":
		# Find root of trigonometric function
		# Find value of pi
		print(f'''The root of sin(x) = 0 is {newton_raphson('sin(x)', 2)}''')

		# Find root of polynomial
		# Find fourth Root of 5
		print(f'''The root of x**4 - 5 = 0 is {newton_raphson('x**4 -5', 0.4 +5J)}''')

		# Find value of e
		print(
		    '''The root of log(y) - 1 = 0 is ''',
		    f'''{newton_raphson('log(y) - 1', 2, variable='y')}''',
		)

		# Exponential Roots
		print(
		    '''The root of exp(x) - 1 = 0 is''',
		    f'''{newton_raphson('exp(x) - 1', 1_0, precision=0.005)}''',
		)

		# Find root of cos(x)
		print(f'''The root of cos(x) = 0 is {newton_raphson('cos(x)', 0)}''')




def 			lowerCAmelCase__					(     a__:						list			)    ->						list:


							'''simple docstring'''





							if len(a__			) < 2:
														return collection

							def circle_sort_util(a__:						list     ,    a__:						int     ,    a__:						int			) -> bool:
														_UpperCAmelCase											=     False

														if low == high:
																					return swapped

														_UpperCAmelCase											=     low
														_UpperCAmelCase											=     high

														while left < right:
																					if collection[left] > collection[right]:
																												_UpperCAmelCase						,			_UpperCAmelCase											=     (
																												    collection[right],
																												    collection[left],
																												)
																												_UpperCAmelCase											=     True

																					left += 1
																					right -= 1

														if left == right and collection[left] > collection[right + 1]:
																					_UpperCAmelCase						,			_UpperCAmelCase											=     (
																					    collection[right + 1],
																					    collection[left],
																					)

																					_UpperCAmelCase											=     True

														_UpperCAmelCase											=     low + int((high - low) / 2			)
														_UpperCAmelCase											=     circle_sort_util(a__     ,    a__     ,    a__			)
														_UpperCAmelCase											=     circle_sort_util(a__     ,    mid + 1     ,    a__			)

														return swapped or left_swap or right_swap

							_UpperCAmelCase											=     True

							while is_not_sorted is True:
														_UpperCAmelCase											=     circle_sort_util(a__     ,    0     ,    len(a__			) - 1			)

							return collection


if __name__ == "__main__":
		lowerCAmelCase__    :Tuple       =				input('''Enter numbers separated by a comma:\n''').strip()
		lowerCAmelCase__    :List[str]       =				[int(item) for item in user_input.split(''',''')]
		print(circle_sort(unsorted))
