def 	lowerCAmelCase_			(					__lowerCAmelCase    )->	str:






      '''simple docstring'''





      UpperCAmelCase     :			List[Any]     	=word.upper()
      UpperCAmelCase     :			Optional[int]     	=0
      UpperCAmelCase     :			Optional[Any]     	={}
      UpperCAmelCase     :			Any     	=[]

      for letter in word:
            if letter not in letter_nums:
                  UpperCAmelCase     :			Tuple     	=str(__UpperCAmelCase    )
                  next_num += 1
            word_pattern.append(letter_nums[letter]    )
      return ".".join(__UpperCAmelCase    )


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

     __snake_case         =     time.time()
     with open('''dictionary.txt''') as in_file:
          __snake_case         =     in_file.read().splitlines()

     __snake_case         =     {}
     for word in word_list:
          __snake_case         =     get_word_pattern(word)
          if pattern in all_patterns:
               all_patterns[pattern].append(word)
          else:
               __snake_case         =     [word]

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

     __snake_case         =     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'''
from __future__ import annotations

import math
import random







def 				__UpperCamelCase (					__UpperCAmelCase  :					int ,   __UpperCAmelCase  :					int ,   __UpperCAmelCase  :					int			)							->	list[int]:
  lowercase				:							Union[str, Any]									=   d * e - 1
  lowercase				:							List[str]									=   0
  lowercase				:							Tuple									=   0
  while p == 0:
    lowercase				:							Optional[Any]									=   random.randint(2 ,   n - 1			)
    lowercase				:							Dict									=   k
    while True:
      if t % 2 == 0:
        lowercase				:							List[Any]									=   t // 2
        lowercase				:							Union[str, Any]									=   (g**t) % n
        lowercase				:							Optional[Any]									=   math.gcd(x - 1 ,   __UpperCAmelCase			)
        if x > 1 and y > 1:
          lowercase				:							Dict									=   y
          lowercase				:							Any									=   n // y
          break  # find the correct factors
      else:
        break  # t is not divisible by 2, break and choose another g
  return sorted([p, q]			)


if __name__ == "__main__":
 import doctest

 doctest.testmod()