





"""simple docstring"""


from __future__ import annotations

import sys



class   lowercase_					:

       def __init__(      self ,       __SCREAMING_SNAKE_CASE ,       __SCREAMING_SNAKE_CASE  ):






        '''simple docstring'''

        snake_case__     				=					letter
        snake_case__     				=					freq
        snake_case__     				=					{}

       def __repr__(      self  ):






        '''simple docstring'''

        return F"{self.letter}:{self.freq}"



class   lowercase_					:

       def __init__(      self ,       __SCREAMING_SNAKE_CASE ,       __SCREAMING_SNAKE_CASE ,       __SCREAMING_SNAKE_CASE  ):






        '''simple docstring'''

        snake_case__     				=					freq
        snake_case__     				=					left
        snake_case__     				=					right





def 				a__      (	_UpperCAmelCase						)     ->	str:

 '''simple docstring'''






 snake_case__     				=					{}
 with open(UpperCAmelCase_						) as f:
  while True:
   snake_case__     				=					f.read(1						)
   if not c:
    break
   snake_case__     				=					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 				a__      (	_UpperCAmelCase						)     ->	str:

 '''simple docstring'''






 snake_case__     				=					letters  # type: ignore
 while len(UpperCAmelCase_						) > 1:
  snake_case__     				=					response.pop(0						)
  snake_case__     				=					response.pop(0						)
  snake_case__     				=					left.freq + right.freq
  snake_case__     				=					TreeNode(UpperCAmelCase_						,  UpperCAmelCase_						,  UpperCAmelCase_						)
  response.append(UpperCAmelCase_						)
  response.sort(key=lambda _UpperCAmelCase						: x.freq						)
 return response[0]





def 				a__      (	_UpperCAmelCase						,  _UpperCAmelCase						)     ->	Optional[Any]:

 '''simple docstring'''






 if isinstance(UpperCAmelCase_						,  UpperCAmelCase_						):
  snake_case__     				=					bitstring
  return [root]
 snake_case__     				=					root  # type: ignore
 snake_case__     				=					[]
 letters += traverse_tree(treenode.left						,  bitstring + "0"						)
 letters += traverse_tree(treenode.right						,  bitstring + "1"						)
 return letters





def 				a__      (	_UpperCAmelCase						)     ->	Optional[int]:

 '''simple docstring'''






 snake_case__     				=					parse_file(UpperCAmelCase_						)
 snake_case__     				=					build_tree(UpperCAmelCase_						)
 snake_case__     				=					{
     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:
   snake_case__     				=					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])







'''simple docstring'''





from __future__ import annotations

import sys





def UpperCAmelCase    (       UpperCAmelCase_   ,	UpperCAmelCase_						):
    # base cases
    if abs(UpperCAmelCase_						) == 1:
        return a, 0
    elif abs(UpperCAmelCase_						) == 1:
        return 0, b

    _a       , _a				:							List[Any]							       =      a, b
    _a       , _a				:							str							       =      1, 0
    _a       , _a				:							Union[str, Any]							       =      0, 1

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

    # sign correction for negative numbers
    if a < 0:
        _a				:							Tuple							       =      -old_coeff_a
    if b < 0:
        _a				:							Any							       =      -old_coeff_b

    return old_coeff_a, old_coeff_b





def UpperCAmelCase    (       ):
    if len(sys.argv						) < 3:
        print("""2 integer arguments required"""						)
        return 1
    _a				:							Union[str, Any]							       =      int(sys.argv[1]						)
    _a				:							Any							       =      int(sys.argv[2]						)
    print(extended_euclidean_algorithm(UpperCAmelCase_   ,	UpperCAmelCase_						)						)
    return 0


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


