


from collections.abc import Callable

import numpy as np

def       lowercase_		(		_A			:    str    ,					_A			:    Optional[Any]    ,					_A			:    Any    ,					_A			:    Optional[int]    ,					_A			:    Optional[Any]						):

      """simple docstring"""




      lowerCamelCase__		:				Union[str, Any]    =  int(np.ceil((x_end - xa) / step_size						)						)
      lowerCamelCase__		:				Union[str, Any]    =  np.zeros((n + 1,)						)
      lowerCamelCase__		:				List[str]    =  ya
      lowerCamelCase__		:				List[str]    =  xa

      for k in range(UpperCamelCase__						):
            lowerCamelCase__		:				Any    =  y[k] + step_size * ode_func(UpperCamelCase__    ,					y[k]						)
            lowerCamelCase__		:				List[Any]    =  y[k] + (
                (step_size / 2) * (ode_func(UpperCamelCase__    ,					y[k]						) + ode_func(x + step_size    ,					UpperCamelCase__						))
            )
            x += step_size

      return y


if __name__ == "__main__":
    import doctest

    doctest.testmod()





from __future__ import annotations

import collections
import pprint
from pathlib import Path





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							return "".join(sorted(UpperCamelCase__      )      )





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							return word_by_signature[signature(UpperCamelCase__      )]


_UpperCAmelCase		:   str										=       Path(__file__).parent.joinpath("""words.txt""").read_text(encoding="""utf-8""")
_UpperCAmelCase		:   Dict										=       sorted({word.strip().lower() for word in data.splitlines()})

_UpperCAmelCase		:   List[str]										=       collections.defaultdict(list)
for word in word_list:
					word_by_signature[signature(word)].append(word)

if __name__ == "__main__":
					_UpperCAmelCase		:   Dict										=       {word: anagram(word) for word in word_list if len(anagram(word)) > 1}

					with open("""anagrams.txt""", """w""") as file:
										file.write("""all_anagrams = \n """)
										file.write(pprint.pformat(all_anagrams))




