






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






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()




