code: 
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int = 30     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Optional[Any]    			=      exponent + 2
  						_lowercase					:  Optional[Any]    			=      (1 + 5**0.5) / 2
  						_lowercase					:  Optional[int]    			=      (phi**fibonacci_index - (phi - 1) ** fibonacci_index) / 5**0.5
  
  						return int(_UpperCAmelCase     )
  
  
  if __name__ == "__main__":
  							print(f'''{solution() = }''')
  
  
  
  
  
style_context: 
  import math
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> list:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if n <= 0:
  												raise ValueError("Only positive integers have prime factors"     )
  						_lowercase					:  Optional[int]    			=      []
  						while n % 2 == 0:
  												pf.append(2     )
  												_lowercase					:  Tuple    			=      int(n / 2     )
  						for i in range(3   , int(math.sqrt(_UpperCAmelCase     )     ) + 1   , 2     ):
  												while n % i == 0:
  																		pf.append(_UpperCAmelCase     )
  																		_lowercase					:  Optional[int]    			=      int(n / i     )
  						if n > 2:
  												pf.append(_UpperCAmelCase     )
  						return pf
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if n <= 0:
  												raise ValueError("Only positive numbers are accepted"     )
  						_lowercase					:  str    			=      1
  						_lowercase					:  Tuple    			=      1
  						while n % 2 == 0:
  												temp += 1
  												_lowercase					:  List[Any]    			=      int(n / 2     )
  						div *= temp
  						for i in range(3   , int(math.sqrt(_UpperCAmelCase     )     ) + 1   , 2     ):
  												_lowercase					:  Optional[Any]    			=      1
  												while n % i == 0:
  																		temp += 1
  																		_lowercase					:  Optional[Any]    			=      int(n / i     )
  												div *= temp
  						if n > 1:
  												div *= 2
  						return div
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if n <= 0:
  												raise ValueError("Only positive numbers are accepted"     )
  						_lowercase					:  int    			=      1
  						_lowercase					:  List[str]    			=      1
  						while n % 2 == 0:
  												temp += 1
  												_lowercase					:  str    			=      int(n / 2     )
  						if temp > 1:
  												s *= (2**temp - 1) / (2 - 1)
  						for i in range(3   , int(math.sqrt(_UpperCAmelCase     )     ) + 1   , 2     ):
  												_lowercase					:  int    			=      1
  												while n % i == 0:
  																		temp += 1
  																		_lowercase					:  List[Any]    			=      int(n / i     )
  												if temp > 1:
  																		s *= (i**temp - 1) / (i - 1)
  						return int(_UpperCAmelCase     )
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  int    			=      n
  						for x in set(prime_factors(_UpperCAmelCase     )     ):
  												s *= (x - 1) / x
  						return int(_UpperCAmelCase     )
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()
  
  
  
  
  