



"""simple docstring"""


from collections.abc import Callable

snake_case_								=			Callable[[float], float]  # type alias for a real -> real function

def 					_lowerCAmelCase (  lowercase_						,      lowercase_						,      lowercase_						,      ):
						UpperCAmelCase			 =					float(lowercase_		)
						while True:
												try:
																		UpperCAmelCase			 =					prev_guess - function(lowercase_		) / derivative(lowercase_		)
												except ZeroDivisionError:
																		raise ZeroDivisionError('Could not find root'		) from None
												if abs(prev_guess - next_guess		) < 10**-5:
																		return next_guess
												UpperCAmelCase			 =					next_guess

def 					_lowerCAmelCase (  lowercase_		):
						return (x**3) - (2 * x) - 5

def 					_lowerCAmelCase (  lowercase_		):
						return 3 * (x**2) - 2


if __name__ == "__main__":
				print(newton(f, fa, 3))













"""simple docstring"""







from __future__ import annotations

from collections.abc import Iterator
from typing import Any







class 							_SCREAMING_SNAKE_CASE    :





							"""simple docstring"""





							def __init__( self:  Optional[int]					,		__A:  Any     ):

												'''simple docstring'''

												a__ 							=	data
												a__ 							=	None





							def __str__( self:  str     ):

												'''simple docstring'''

												return F'{self.data}'







class 							_SCREAMING_SNAKE_CASE    :





							"""simple docstring"""





							def __init__( self:  int     ):

												'''simple docstring'''

												a__ 							=	None
												a__ 							=	None




							def __iter__( self:  Tuple     ):

												'''simple docstring'''

												a__ 							=	self.front
												while node:
																	yield node.data
																	a__ 							=	node.next




							def __len__( self:  Union[str, Any]     ):

												'''simple docstring'''

												return len(tuple(iter(self     )     )     )




							def __str__( self:  Any     ):

												'''simple docstring'''

												return " <- ".join(str(__A     ) for item in self     )




							def 			lowercase		( self:  Any     ):

												'''simple docstring'''

												return len(self     ) == 0




							def 			lowercase		( self:  Tuple					,		__A:  Any     ):

												'''simple docstring'''

												a__ 							=	Node(__A     )
												if self.is_empty():
																	a__ 							=	a__ 							=	node
												else:
																	assert isinstance(self.rear					,		__A     )
																	a__ 							=	node
																	a__ 							=	node




							def 			lowercase		( self:  List[Any]     ):

												'''simple docstring'''

												if self.is_empty():
																	raise IndexError('''dequeue from empty queue'''     )
												assert isinstance(self.front					,		__A     )
												a__ 							=	self.front
												a__ 							=	self.front.next
												if self.front is None:
																	a__ 							=	None
												return node.data





							def 			lowercase		( self:  Dict     ):

												'''simple docstring'''

												a__ 							=	a__ 							=	None


if __name__ == "__main__":
	from doctest import testmod

	testmod()


