code: 
  
  
  
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      float   , _UpperCAmelCase     :      float   , _UpperCAmelCase     :      float     )      -> list[int]:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if hue < 0 or hue > 360:
  												raise Exception("hue should be between 0 and 360"     )
  
  						if saturation < 0 or saturation > 1:
  												raise Exception("saturation should be between 0 and 1"     )
  
  						if value < 0 or value > 1:
  												raise Exception("value should be between 0 and 1"     )
  
  						_lowercase					:  Optional[int]    			=      value * saturation
  						_lowercase					:  Optional[Any]    			=      hue / 60
  						_lowercase					:  Dict    			=      chroma * (1 - abs(hue_section % 2 - 1     ))
  						_lowercase					:  Optional[Any]    			=      value - chroma
  
  						if hue_section >= 0 and hue_section <= 1:
  												_lowercase					:  List[Any]    			=      round(255 * (chroma + match_value)     )
  												_lowercase					:  Union[str, Any]    			=      round(255 * (second_largest_component + match_value)     )
  												_lowercase					:  Dict    			=      round(255 * (match_value)     )
  						elif hue_section > 1 and hue_section <= 2:
  												_lowercase					:  Tuple    			=      round(255 * (second_largest_component + match_value)     )
  												_lowercase					:  Union[str, Any]    			=      round(255 * (chroma + match_value)     )
  												_lowercase					:  int    			=      round(255 * (match_value)     )
  						elif hue_section > 2 and hue_section <= 3:
  												_lowercase					:  int    			=      round(255 * (match_value)     )
  												_lowercase					:  List[Any]    			=      round(255 * (chroma + match_value)     )
  												_lowercase					:  Optional[int]    			=      round(255 * (second_largest_component + match_value)     )
  						elif hue_section > 3 and hue_section <= 4:
  												_lowercase					:  Dict    			=      round(255 * (match_value)     )
  												_lowercase					:  Optional[Any]    			=      round(255 * (second_largest_component + match_value)     )
  												_lowercase					:  List[str]    			=      round(255 * (chroma + match_value)     )
  						elif hue_section > 4 and hue_section <= 5:
  												_lowercase					:  Optional[int]    			=      round(255 * (second_largest_component + match_value)     )
  												_lowercase					:  Optional[Any]    			=      round(255 * (match_value)     )
  												_lowercase					:  Union[str, Any]    			=      round(255 * (chroma + match_value)     )
  						else:
  												_lowercase					:  Any    			=      round(255 * (chroma + match_value)     )
  												_lowercase					:  Tuple    			=      round(255 * (match_value)     )
  												_lowercase					:  List[str]    			=      round(255 * (second_largest_component + match_value)     )
  
  						return [red, green, blue]
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int   , _UpperCAmelCase     :      int   , _UpperCAmelCase     :      int     )      -> list[float]:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if red < 0 or red > 255:
  												raise Exception("red should be between 0 and 255"     )
  
  						if green < 0 or green > 255:
  												raise Exception("green should be between 0 and 255"     )
  
  						if blue < 0 or blue > 255:
  												raise Exception("blue should be between 0 and 255"     )
  
  						_lowercase					:  Dict    			=      red / 255
  						_lowercase					:  Any    			=      green / 255
  						_lowercase					:  Tuple    			=      blue / 255
  						_lowercase					:  Tuple    			=      max(_UpperCAmelCase   , _UpperCAmelCase   , _UpperCAmelCase     )
  						_lowercase					:  int    			=      value - min(_UpperCAmelCase   , _UpperCAmelCase   , _UpperCAmelCase     )
  						_lowercase					:  List[Any]    			=      0 if value == 0 else chroma / value
  
  						if chroma == 0:
  												_lowercase					:  Union[str, Any]    			=      0.0
  						elif value == float_red:
  												_lowercase					:  Optional[Any]    			=      60 * (0 + (float_green - float_blue) / chroma)
  						elif value == float_green:
  												_lowercase					:  Tuple    			=      60 * (2 + (float_blue - float_red) / chroma)
  						else:
  												_lowercase					:  Dict    			=      60 * (4 + (float_red - float_green) / chroma)
  
  						_lowercase					:  List[str]    			=      (hue + 360) % 360
  
  						return [hue, saturation, value]
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      list[float]   , _UpperCAmelCase     :      list[float]     )      -> bool:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  List[Any]    			=      abs(hsv_a[0] - hsv_a[0]     ) < 0.2
  						_lowercase					:  List[Any]    			=      abs(hsv_a[1] - hsv_a[1]     ) < 0.002
  						_lowercase					:  Dict    			=      abs(hsv_a[2] - hsv_a[2]     ) < 0.002
  
  						return check_hue and check_saturation and check_value
  
  
  
  
  
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()
  
  
  
  
  