



'''simple docstring'''

import os
from string import ascii_letters

__lowerCAmelCase		    =     ascii_letters + ''' \t\n'''



def   __lowerCamelCase  (   )    ->   dict[str, None]:
		_a  :   Optional[int]				 =							os.path.split(os.path.realpath(lowerCAmelCase_						)						)
		_a  :   dict[str, None]				 =							{}
		with open(path[0] + '/dictionary.txt'						) as dictionary_file:
				for word in dictionary_file.read().split('\n'						):
						_a  :   Tuple				 =							None
		return english_words


__lowerCAmelCase		    =     load_dictionary()



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   float:
		_a  :   Optional[int]				 =							message.upper()
		_a  :   Optional[int]				 =							remove_non_letters(lowerCAmelCase_						)
		_a  :   str				 =							message.split()
		_a  :   Tuple				 =							len([word for word in possible_words if word in ENGLISH_WORDS]						)
		return float(lowerCAmelCase_						) / len(lowerCAmelCase_						)



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   str:
		return "".join(symbol for symbol in message if symbol in LETTERS_AND_SPACE						)



def   __lowerCamelCase  (   lowerCAmelCase_		,    lowerCAmelCase_ = 20		,    lowerCAmelCase_ = 85						)    ->   bool:
		_a  :   Optional[Any]				 =							get_english_count(lowerCAmelCase_						) * 100 >= word_percentage
		_a  :   Optional[Any]				 =							len(remove_non_letters(lowerCAmelCase_						)						)
		_a  :   int				 =							(float(lowerCAmelCase_						) / len(lowerCAmelCase_						)) * 100
		_a  :   Dict				 =							message_letters_percentage >= letter_percentage
		return words_match and letters_match


if __name__ == "__main__":
							import doctest

							doctest.testmod()









'''simple docstring'''

import math



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   list:
		if n <= 0:
				raise ValueError('Only positive integers have prime factors'						)
		_a  :   Tuple				 =							[]
		while n % 2 == 0:
				pf.append(2						)
				_a  :   str				 =							int(n / 2						)
		for i in range(3		,    int(math.sqrt(lowerCAmelCase_						)						) + 1		,    2						):
				while n % i == 0:
						pf.append(lowerCAmelCase_						)
						_a  :   List[Any]				 =							int(n / i						)
		if n > 2:
				pf.append(lowerCAmelCase_						)
		return pf



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   int:
		if n <= 0:
				raise ValueError('Only positive numbers are accepted'						)
		_a  :   int				 =							1
		_a  :   Union[str, Any]				 =							1
		while n % 2 == 0:
				temp += 1
				_a  :   str				 =							int(n / 2						)
		div *= temp
		for i in range(3		,    int(math.sqrt(lowerCAmelCase_						)						) + 1		,    2						):
				_a  :   List[str]				 =							1
				while n % i == 0:
						temp += 1
						_a  :   List[str]				 =							int(n / i						)
				div *= temp
		if n > 1:
				div *= 2
		return div



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   int:
		if n <= 0:
				raise ValueError('Only positive numbers are accepted'						)
		_a  :   List[str]				 =							1
		_a  :   Union[str, Any]				 =							1
		while n % 2 == 0:
				temp += 1
				_a  :   Tuple				 =							int(n / 2						)
		if temp > 1:
				s *= (2**temp - 1) / (2 - 1)
		for i in range(3		,    int(math.sqrt(lowerCAmelCase_						)						) + 1		,    2						):
				_a  :   str				 =							1
				while n % i == 0:
						temp += 1
						_a  :   Any				 =							int(n / i						)
				if temp > 1:
						s *= (i**temp - 1) / (i - 1)
		return int(lowerCAmelCase_						)



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   int:
		_a  :   Dict				 =							n
		for x in set(prime_factors(lowerCAmelCase_						)						):
				s *= (x - 1) / x
		return int(lowerCAmelCase_						)


if __name__ == "__main__":
							import doctest

							doctest.testmod()




