





import os
from string import ascii_letters

__UpperCAmelCase						=      ascii_letters + ' \t\n'
def 			__UpperCamelCase				(			)	->      dict[str, None]:
    '''simple docstring'''





    lowerCAmelCase_					:	str						=   os.path.split(os.path.realpath(lowercase__		)		)
    lowerCAmelCase_					:	dict[str, None]						=   {}
    with open(path[0] + """/dictionary.txt"""		) as dictionary_file:
        for word in dictionary_file.read().split("""\n"""		):
            lowerCAmelCase_					:	Union[str, Any]						=   None
    return english_words


__UpperCAmelCase						=      load_dictionary()
def 			__UpperCamelCase				(			lowercase__	:       str		)	->      float:
    '''simple docstring'''





    lowerCAmelCase_					:	List[str]						=   message.upper()
    lowerCAmelCase_					:	Dict						=   remove_non_letters(lowercase__		)
    lowerCAmelCase_					:	Tuple						=   message.split()
    lowerCAmelCase_					:	List[str]						=   len([word for word in possible_words if word in ENGLISH_WORDS]		)
    return float(lowercase__		) / len(lowercase__		)
def 			__UpperCamelCase				(			lowercase__	:       str		)	->      str:
    '''simple docstring'''





    return "".join(symbol for symbol in message if symbol in LETTERS_AND_SPACE		)
def 			__UpperCamelCase				(			lowercase__	:       str		,    lowercase__	:       int = 20		,    lowercase__	:       int = 85		)	->      bool:
    '''simple docstring'''





    lowerCAmelCase_					:	Tuple						=   get_english_count(lowercase__		) * 100 >= word_percentage
    lowerCAmelCase_					:	str						=   len(remove_non_letters(lowercase__		)		)
    lowerCAmelCase_					:	Tuple						=   (float(lowercase__		) / len(lowercase__		)) * 100
    lowerCAmelCase_					:	Tuple						=   message_letters_percentage >= letter_percentage
    return words_match and letters_match


if __name__ == "__main__":
  import doctest

  doctest.testmod()









import math
def 			__UpperCamelCase				(			lowercase__	:       int		)	->      list:
    '''simple docstring'''





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





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





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





    lowerCAmelCase_					:	str						=   n
    for x in set(prime_factors(lowercase__		)		):
        s *= (x - 1) / x
    return int(lowercase__		)


if __name__ == "__main__":
  import doctest

  doctest.testmod()


