






def 						A_					(						lowercase_	,  lowercase_	,  lowercase_			)				->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'			)

 SCREAMING_SNAKE_CASE				    =		value * saturation
 SCREAMING_SNAKE_CASE				    =		hue / 6_0
 SCREAMING_SNAKE_CASE				    =		chroma * (1 - abs(hue_section % 2 - 1			))
 SCREAMING_SNAKE_CASE				    =		value - chroma

 if hue_section >= 0 and hue_section <= 1:
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (chroma + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (second_largest_component + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (match_value)			)
 elif hue_section > 1 and hue_section <= 2:
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (second_largest_component + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (chroma + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (match_value)			)
 elif hue_section > 2 and hue_section <= 3:
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (chroma + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (second_largest_component + match_value)			)
 elif hue_section > 3 and hue_section <= 4:
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (second_largest_component + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (chroma + match_value)			)
 elif hue_section > 4 and hue_section <= 5:
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (second_largest_component + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (chroma + match_value)			)
 else:
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (chroma + match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (match_value)			)
  SCREAMING_SNAKE_CASE				    =		round(2_5_5 * (second_largest_component + match_value)			)

 return [red, green, blue]





def 						A_					(						lowercase_	,  lowercase_	,  lowercase_			)				->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'			)

 SCREAMING_SNAKE_CASE				    =		red / 2_5_5
 SCREAMING_SNAKE_CASE				    =		green / 2_5_5
 SCREAMING_SNAKE_CASE				    =		blue / 2_5_5
 SCREAMING_SNAKE_CASE				    =		max(lowercase_	,  lowercase_	,  lowercase_			)
 SCREAMING_SNAKE_CASE				    =		value - min(lowercase_	,  lowercase_	,  lowercase_			)
 SCREAMING_SNAKE_CASE				    =		0 if value == 0 else chroma / value

 if chroma == 0:
  SCREAMING_SNAKE_CASE				    =		0.0
 elif value == float_red:
  SCREAMING_SNAKE_CASE				    =		6_0 * (0 + (float_green - float_blue) / chroma)
 elif value == float_green:
  SCREAMING_SNAKE_CASE				    =		6_0 * (2 + (float_blue - float_red) / chroma)
 else:
  SCREAMING_SNAKE_CASE				    =		6_0 * (4 + (float_red - float_green) / chroma)

 SCREAMING_SNAKE_CASE				    =		(hue + 3_6_0) % 3_6_0

 return [hue, saturation, value]





def 						A_					(						lowercase_	,  lowercase_			)				->bool:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		abs(hsv_a[0] - hsv_a[0]			) < 0.2
 SCREAMING_SNAKE_CASE				    =		abs(hsv_a[1] - hsv_a[1]			) < 0.0_0_2
 SCREAMING_SNAKE_CASE				    =		abs(hsv_a[2] - hsv_a[2]			) < 0.0_0_2

 return check_hue and check_saturation and check_value










'''simple docstring'''





from __future__ import annotations

import sys




class      UpperCamelCase       :



  def __init__(			self		,     __lowerCAmelCase		,     __lowerCAmelCase ):







      '''simple docstring'''


      _a				:							str							       =      letter
      _a				:							int							       =      freq
      _a				:							dict[str, str]							       =      {}



  def __repr__(			self ):







      '''simple docstring'''


      return f'''{self.letter}:{self.freq}'''






class      UpperCamelCase       :



  def __init__(			self		,     __lowerCAmelCase		,     __lowerCAmelCase		,     __lowerCAmelCase ):







      '''simple docstring'''


      _a				:							int							       =      freq
      _a				:							Letter | TreeNode							       =      left
      _a				:							Letter | TreeNode							       =      right






def UpperCAmelCase    (       UpperCAmelCase_						):
    _a				:							dict[str, int]							       =      {}
    with open(UpperCAmelCase_						) as f:
        while True:
            _a				:							Any							       =      f.read(1						)
            if not c:
                break
            _a				:							Optional[Any]							       =      chars[c] + 1 if c in chars else 1
    return sorted((Letter(UpperCAmelCase_   ,	UpperCAmelCase_						) for c, f in chars.items())   ,	key=lambda UpperCAmelCase_						: x.freq						)





def UpperCAmelCase    (       UpperCAmelCase_						):
    _a				:							list[Letter | TreeNode]							       =      letters  # type: ignore
    while len(UpperCAmelCase_						) > 1:
        _a				:							List[Any]							       =      response.pop(0						)
        _a				:							List[str]							       =      response.pop(0						)
        _a				:							Dict							       =      left.freq + right.freq
        _a				:							Any							       =      TreeNode(UpperCAmelCase_   ,	UpperCAmelCase_   ,	UpperCAmelCase_						)
        response.append(UpperCAmelCase_						)
        response.sort(key=lambda UpperCAmelCase_						: x.freq						)
    return response[0]





def UpperCAmelCase    (       UpperCAmelCase_   ,	UpperCAmelCase_						):
    if isinstance(UpperCAmelCase_   ,	UpperCAmelCase_						):
        _a				:							int							       =      bitstring
        return [root]
    _a				:							TreeNode							       =      root  # type: ignore
    _a				:							Optional[Any]							       =      []
    letters += traverse_tree(treenode.left   ,	bitstring + """0"""						)
    letters += traverse_tree(treenode.right   ,	bitstring + """1"""						)
    return letters





def UpperCAmelCase    (       UpperCAmelCase_						):
    _a				:							Optional[Any]							       =      parse_file(UpperCAmelCase_						)
    _a				:							Tuple							       =      build_tree(UpperCAmelCase_						)
    _a				:							Union[str, Any]							       =      {
        k: v for letter in traverse_tree(UpperCAmelCase_   ,	""""""						) for k, v in letter.bitstring.items()
    }
    print(F'''Huffman Coding  of {file_path}: '''						)
    with open(UpperCAmelCase_						) as f:
        while True:
            _a				:							Any							       =      f.read(1						)
            if not c:
                break
            print(letters[c]   ,	end=""" """						)
    print()


if __name__ == "__main__":
  # pass the file path to the huffman function
  huffman(sys.argv[1])


