



"""simple docstring"""
from __future__ import annotations

import sys
def   A_    (     _lowercase,   _lowercase      ):







						'''simple docstring'''


						if abs(_lowercase      ) == 1:
												return a, 0
						elif abs(_lowercase      ) == 1:
												return 0, b

						snake_case_,			snake_case_					:Optional[int]		=     a, b
						snake_case_,			snake_case_					:List[Any]		=     1, 0
						snake_case_,			snake_case_					:Optional[int]		=     0, 1

						while remainder != 0:
												snake_case_					:Tuple		=     old_remainder // remainder
												snake_case_,			snake_case_					:List[Any]		=     remainder, old_remainder - quotient * remainder
												snake_case_,			snake_case_					:Union[str, Any]		=     coeff_a, old_coeff_a - quotient * coeff_a
												snake_case_,			snake_case_					:Union[str, Any]		=     coeff_b, old_coeff_b - quotient * coeff_b

						# sign correction for negative numbers
						if a < 0:
												snake_case_					:Optional[Any]		=     -old_coeff_a
						if b < 0:
												snake_case_					:Dict		=     -old_coeff_b

						return old_coeff_a, old_coeff_b
def   A_    (     ):







						'''simple docstring'''


						if len(sys.argv      ) < 3:
												print("""2 integer arguments required"""      )
												return 1
						snake_case_					:Dict		=     int(sys.argv[1]      )
						snake_case_					:Tuple		=     int(sys.argv[2]      )
						print(extended_euclidean_algorithm(_lowercase,   _lowercase      )      )
						return 0


if __name__ == "__main__":
						raise SystemExit(main())





def  _snake_case			(							__snake_case       ,	__snake_case       ,	__snake_case     )  ->  list[int]:






      '''simple docstring'''







      if hue < 0 or hue > 3_6_0:
            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"     )

      UpperCAmelCase_	:						Tuple					   =		value * saturation
      UpperCAmelCase_	:						Union[str, Any]					   =		hue / 6_0
      UpperCAmelCase_	:						Tuple					   =		chroma * (1 - abs(hue_section % 2 - 1     ))
      UpperCAmelCase_	:						Tuple					   =		value - chroma

      if hue_section >= 0 and hue_section <= 1:
            UpperCAmelCase_	:						List[str]					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						int					   =		round(2_5_5 * (match_value)     )
      elif hue_section > 1 and hue_section <= 2:
            UpperCAmelCase_	:						Union[str, Any]					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						Union[str, Any]					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						int					   =		round(2_5_5 * (match_value)     )
      elif hue_section > 2 and hue_section <= 3:
            UpperCAmelCase_	:						List[str]					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						Any					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						Optional[int]					   =		round(2_5_5 * (second_largest_component + match_value)     )
      elif hue_section > 3 and hue_section <= 4:
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						Dict					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						Optional[Any]					   =		round(2_5_5 * (chroma + match_value)     )
      elif hue_section > 4 and hue_section <= 5:
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (second_largest_component + match_value)     )
            UpperCAmelCase_	:						Any					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						str					   =		round(2_5_5 * (chroma + match_value)     )
      else:
            UpperCAmelCase_	:						Optional[int]					   =		round(2_5_5 * (chroma + match_value)     )
            UpperCAmelCase_	:						Dict					   =		round(2_5_5 * (match_value)     )
            UpperCAmelCase_	:						Optional[int]					   =		round(2_5_5 * (second_largest_component + match_value)     )

      return [red, green, blue]







def  _snake_case			(							__snake_case       ,	__snake_case       ,	__snake_case     )  ->  list[float]:






      '''simple docstring'''







      if red < 0 or red > 2_5_5:
            raise Exception("red should be between 0 and 255"     )

      if green < 0 or green > 2_5_5:
            raise Exception("green should be between 0 and 255"     )

      if blue < 0 or blue > 2_5_5:
            raise Exception("blue should be between 0 and 255"     )

      UpperCAmelCase_	:						str					   =		red / 2_5_5
      UpperCAmelCase_	:						Dict					   =		green / 2_5_5
      UpperCAmelCase_	:						int					   =		blue / 2_5_5
      UpperCAmelCase_	:						Any					   =		max(__snake_case       ,	__snake_case       ,	__snake_case     )
      UpperCAmelCase_	:						Union[str, Any]					   =		value - min(__snake_case       ,	__snake_case       ,	__snake_case     )
      UpperCAmelCase_	:						Optional[Any]					   =		0 if value == 0 else chroma / value

      if chroma == 0:
            UpperCAmelCase_	:						Tuple					   =		0.0
      elif value == float_red:
            UpperCAmelCase_	:						List[str]					   =		6_0 * (0 + (float_green - float_blue) / chroma)
      elif value == float_green:
            UpperCAmelCase_	:						Union[str, Any]					   =		6_0 * (2 + (float_blue - float_red) / chroma)
      else:
            UpperCAmelCase_	:						Dict					   =		6_0 * (4 + (float_red - float_green) / chroma)

      UpperCAmelCase_	:						int					   =		(hue + 3_6_0) % 3_6_0

      return [hue, saturation, value]







def  _snake_case			(							__snake_case       ,	__snake_case     )  ->  bool:






      '''simple docstring'''







      UpperCAmelCase_	:						List[str]					   =		abs(hsv_a[0] - hsv_a[0]     ) < 0.2
      UpperCAmelCase_	:						Optional[Any]					   =		abs(hsv_a[1] - hsv_a[1]     ) < 0.002
      UpperCAmelCase_	:						Tuple					   =		abs(hsv_a[2] - hsv_a[2]     ) < 0.002

      return check_hue and check_saturation and check_value
