






from collections import Counter
from functools import total_ordering

from data_structures.heap.heap import Heap
@total_ordering
class 	a_:



     """simple docstring"""



     def __init__(		self					:	Union[str, Any]  ,  lowerCAmelCase__					:	str  ,  lowerCAmelCase__					:	int)							->	None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE				    =		word
      SCREAMING_SNAKE_CASE				    =		count





     def __eq__(		self					:	List[str]  ,  lowerCAmelCase__					:	object)							->	bool:

      """simple docstring"""
      if not isinstance(lowerCAmelCase__  ,  lowerCAmelCase__):
       return NotImplemented
      return self.count == other.count





     def __lt__(		self					:	Any  ,  lowerCAmelCase__					:	object)							->	bool:

      """simple docstring"""
      if not isinstance(lowerCAmelCase__  ,  lowerCAmelCase__):
       return NotImplemented
      return self.count < other.count





def 						A_					(						lowercase_	,  lowercase_			)				->list[str]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		Heap()
 SCREAMING_SNAKE_CASE				    =		Counter(lowercase_			)
 heap.build_max_heap(
     [WordCount(lowercase_	,  lowercase_			) for word, count in count_by_word.items()]			)
 return [heap.extract_max().word for _ in range(min(lowercase_	,  len(lowercase_			)			)			)]


if __name__ == "__main__":
      import doctest

      doctest.testmod()





"""simple docstring"""




from collections.abc import Callable

UpperCAmelCase       :    Optional[int]									=			Callable[[float], float]  # type alias for a real -> real function



def 				__a       (			_lowercase							, _lowercase							, _lowercase							, ):







					"""simple docstring"""





					lowerCamelCase__		:   Tuple  				=					float(_lowercase						)
					while True:
										try:
															lowerCamelCase__		:   str  				=					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
										lowerCamelCase__		:   List[str]  				=					next_guess



def 				__a       (			_lowercase						):







					"""simple docstring"""





					return (x**3) - (2 * x) - 5



def 				__a       (			_lowercase						):







					"""simple docstring"""





					return 3 * (x**2) - 2


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






