code: 
  
  
  
  
  
  
  from __future__ import annotations
  def        UpperCAmelCase      (   _lowercase,      _lowercase,      _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      assert (
          c % greatest_common_divisor(__lowerCamelCase,      __lowerCamelCase      ) == 0
      )  # greatest_common_divisor(a,b) function implemented below
      ((_lowercase) ,    (_lowercase) ,    (_lowercase))     =	extended_gcd(__lowerCamelCase,      __lowerCamelCase      )  # extended_gcd(a,b) function implemented below
      _lowercase     =	c / d
      return (r * x, r * y)
  def        UpperCAmelCase      (   _lowercase,      _lowercase,      _lowercase,      _lowercase = 2      ):
  
  
      '''simple docstring'''
  
  
  
      ((_lowercase) ,    (_lowercase))     =	diophantine(__lowerCamelCase,      __lowerCamelCase,      __lowerCamelCase      )  # Initial value
      _lowercase     =	greatest_common_divisor(__lowerCamelCase,      __lowerCamelCase      )
      _lowercase     =	a // d
      _lowercase     =	b // d
  
      for i in range(__lowerCamelCase      ):
          _lowercase     =	xa + i * q
          _lowercase     =	ya - i * p
          print(__lowerCamelCase,      __lowerCamelCase      )
  def        UpperCAmelCase      (   _lowercase,      _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      if a < b:
          _lowercase ,    _lowercase     =	b, a
  
      while a % b != 0:
          _lowercase ,    _lowercase     =	b, a % b
  
      return b
  def        UpperCAmelCase      (   _lowercase,      _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      assert a >= 0 and b >= 0
  
      if b == 0:
          _lowercase ,    _lowercase ,    _lowercase     =	a, 1, 0
      else:
          ((_lowercase) ,    (_lowercase) ,    (_lowercase))     =	extended_gcd(__lowerCamelCase,      a % b      )
          _lowercase     =	q
          _lowercase     =	p - q * (a // b)
  
      assert a % d == 0 and b % d == 0
      assert d == a * x + b * y
  
      return (d, x, y)
  
  
  if __name__ == "__main__":
     from doctest import testmod
  
     testmod(name='''diophantine''', verbose=True)
     testmod(name='''diophantine_all_soln''', verbose=True)
     testmod(name='''extended_gcd''', verbose=True)
     testmod(name='''greatest_common_divisor''', verbose=True)
  
style_context: 
  
  
  
  
  
  
  from __future__ import annotations
  
  import sys
  
  class 					snake_case_							:
  
  
  
  
  
  
  
     """simple docstring"""
  
  
  
     def __init__(    self:	Any   ,       snake_case__:	str   ,       snake_case__:	int	)  ->		Optional[Any]:
  
  
         """simple docstring"""
  
  
  
         _lowercase     =	letter
         _lowercase     =	freq
         _lowercase     =	{}
  
     def __repr__(    self:	Optional[int]	)  ->		str:
  
  
         """simple docstring"""
  
  
  
         return f'''{self.letter}:{self.freq}'''
  
  
  
  
  
  
  class 					snake_case_							:
  
  
  
  
  
  
  
     """simple docstring"""
  
  
  
     def __init__(    self:	Optional[int]   ,       snake_case__:	int   ,       snake_case__:	Letter | TreeNode   ,       snake_case__:	Letter | TreeNode	)  ->		List[Any]:
  
  
         """simple docstring"""
  
  
  
         _lowercase     =	freq
         _lowercase     =	left
         _lowercase     =	right
  
  
  
  
  
  
  def        UpperCAmelCase      (   _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	{}
      with open(_lowercase      ) as f:
          while True:
              _lowercase     =	f.read(1      )
              if not c:
                  break
              _lowercase     =	chars[c] + 1 if c in chars else 1
      return sorted((Letter(_lowercase,      _lowercase      ) for c, f in chars.items()),      key=lambda _lowercase      : x.freq      )
  def        UpperCAmelCase      (   _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	letters  # type: ignore
      while len(_lowercase      ) > 1:
          _lowercase     =	response.pop(0      )
          _lowercase     =	response.pop(0      )
          _lowercase     =	left.freq + right.freq
          _lowercase     =	TreeNode(_lowercase,      _lowercase,      _lowercase      )
          response.append(_lowercase      )
          response.sort(key=lambda _lowercase      : x.freq      )
      return response[0]
  def        UpperCAmelCase      (   _lowercase,      _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      if isinstance(_lowercase,      _lowercase      ):
          _lowercase     =	bitstring
          return [root]
      _lowercase     =	root  # type: ignore
      _lowercase     =	[]
      letters += traverse_tree(treenode.left,      bitstring + '0'      )
      letters += traverse_tree(treenode.right,      bitstring + '1'      )
      return letters
  def        UpperCAmelCase      (   _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	parse_file(_lowercase      )
      _lowercase     =	build_tree(_lowercase      )
      _lowercase     =	{
          k: v for letter in traverse_tree(_lowercase,      ''      ) for k, v in letter.bitstring.items()
      }
      print(f'''Huffman Coding  of {file_path}: '''      )
      with open(_lowercase      ) as f:
          while True:
              _lowercase     =	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])
  