"""simple docstring"""







def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				str						)    ->     str:







     '''simple docstring'''


     __A					:					Dict								=		word.upper()
     __A					:					Optional[int]								=		0
     __A					:					str								=		{}
     __A					:					Optional[int]								=		[]

     for letter in word:
          if letter not in letter_nums:
               __A					:					Union[str, Any]								=		str(_SCREAMING_SNAKE_CASE						)
               next_num += 1
          word_pattern.append(letter_nums[letter]						)
     return ".".join(_SCREAMING_SNAKE_CASE						)


if __name__ == "__main__":
       import pprint
       import time

       lowerCamelCase      : List[Any]       =time.time()
       with open('''dictionary.txt''') as in_file:
              lowerCamelCase      : Tuple       =in_file.read().splitlines()

       lowerCamelCase      : dict       ={}
       for word in word_list:
              lowerCamelCase      : List[str]       =get_word_pattern(word)
              if pattern in all_patterns:
                     all_patterns[pattern].append(word)
              else:
                     lowerCamelCase      : Tuple       =[word]

       with open('''word_patterns.txt''', '''w''') as out_file:
              out_file.write(pprint.pformat(all_patterns))

       lowerCamelCase      : Dict       =round(time.time() - start_time, 2)
       print(F'Done!  {len(all_patterns):,} word patterns found in {total_time} seconds.')
       # Done!  9,581 word patterns found in 0.58 seconds.




"""simple docstring"""







def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     tuple[int, int]:







     '''simple docstring'''


     if len(_SCREAMING_SNAKE_CASE						) == 1:
          return a[0], a[0]
     else:
          # split A into half.
          __A					:					List[str]								=		a[: len(_SCREAMING_SNAKE_CASE						) // 2]
          __A					:					Optional[Any]								=		a[len(_SCREAMING_SNAKE_CASE						) // 2 :]

          # 2 sub problems, 1/2 of original size.
          __A						,		__A					:					int								=		max_difference(_SCREAMING_SNAKE_CASE						)
          __A						,		__A					:					str								=		max_difference(_SCREAMING_SNAKE_CASE						)

          # get min of first and max of second
          # linear time
          __A					:					str								=		min(_SCREAMING_SNAKE_CASE						)
          __A					:					Optional[int]								=		max(_SCREAMING_SNAKE_CASE						)

          # 3 cases, either (small1, big1),
          # (min_first, max_second), (small2, big2)
          # constant comparisons
          if biga - smalla > max_second - min_first and biga - smalla > biga - smalla:
               return smalla, biga
          elif biga - smalla > max_second - min_first:
               return smalla, biga
          else:
               return min_first, max_second


if __name__ == "__main__":
       import doctest

       doctest.testmod()



