





from __future__ import annotations






def lowerCamelCase__   (							snake_case_     :  tuple[int, int]	,				snake_case_     :  int	)				->    list[tuple[int, int]]:
   __snake_case	,     __snake_case								=       position
   __snake_case								=       [
       (y + 1, x + 2),
       (y - 1, x + 2),
       (y + 1, x - 2),
       (y - 1, x - 2),
       (y + 2, x + 1),
       (y + 2, x - 1),
       (y - 2, x + 1),
       (y - 2, x - 1),
   ]
   __snake_case								=       []

   for position in positions:
      __snake_case	,     __snake_case								=       position
      if 0 <= y_test < n and 0 <= x_test < n:
         permissible_positions.append(snake_case_	)

   return permissible_positions






def lowerCamelCase__   (							snake_case_     :  list[list[int]]	)				->    bool:
   return not any(elem == 0 for row in board for elem in row	)






def lowerCamelCase__   (							snake_case_     :  list[list[int]]	,				snake_case_     :  tuple[int, int]	,				snake_case_     :  int	)				->    bool:

   if is_complete(snake_case_	):
      return True

   for position in get_valid_pos(snake_case_	,				len(snake_case_	)	):
      __snake_case	,     __snake_case								=       position

      if board[y][x] == 0:
         __snake_case								=       curr + 1
         if open_knight_tour_helper(snake_case_	,				snake_case_	,				curr + 1	):
            return True
         __snake_case								=       0

   return False






def lowerCamelCase__   (							snake_case_     :  int	)				->    list[list[int]]:
   __snake_case								=       [[0 for i in range(snake_case_	)] for j in range(snake_case_	)]

   for i in range(snake_case_	):
      for j in range(snake_case_	):
         __snake_case								=       1
         if open_knight_tour_helper(snake_case_	,				(i, j)	,				1	):
            return board
         __snake_case								=       0

   __snake_case								=       f"""Open Kight Tour cannot be performed on a board of size {n}"""
   raise ValueError(snake_case_	)


if __name__ == "__main__":
    import doctest

    doctest.testmod()








from __future__ import annotations

import collections
import pprint
from pathlib import Path






def lowerCamelCase__   (							snake_case_     :  str	)				->    str:
   return "".join(sorted(snake_case_	)	)






def lowerCamelCase__   (							snake_case_     :  str	)				->    list[str]:
   return word_by_signature[signature(snake_case_	)]


snake_case_           =      Path(__file__).parent.joinpath('words.txt').read_text(encoding='utf-8')
snake_case_           =      sorted({word.strip().lower() for word in data.splitlines()})

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

if __name__ == "__main__":
    snake_case_           =      {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))

