




from __future__ import annotations

import sys





class 						SCREAMING_SNAKE_CASE__		:
     def __init__(	self  :		Tuple					,	__lowerCamelCase  :		Dict					,	__lowerCamelCase  :		Optional[int]	):



       """simple docstring"""
       lowerCAmelCase__								=			letter
       lowerCAmelCase__								=			freq
       lowerCAmelCase__								=			{}



     def __repr__(	self  :		List[Any]	):



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





class 						SCREAMING_SNAKE_CASE__		:
     def __init__(	self  :		str					,	__lowerCamelCase  :		List[Any]					,	__lowerCamelCase  :		Dict					,	__lowerCamelCase  :		List[str]	):



       """simple docstring"""
       lowerCAmelCase__								=			freq
       lowerCAmelCase__								=			left
       lowerCAmelCase__								=			right



def 		a_       (   __lowerCAmelCase							):
  lowerCAmelCase__								=			{}
  with open(__lowerCAmelCase							) as f:
    while True:
      lowerCAmelCase__								=			f.read(1							)
      if not c:
        break
      lowerCAmelCase__								=			chars[c] + 1 if c in chars else 1
  return sorted((Letter(__lowerCAmelCase      ,   __lowerCAmelCase							) for c, f in chars.items())      ,   key=lambda __lowerCAmelCase							: x.freq							)
def 		a_       (   __lowerCAmelCase							):
  lowerCAmelCase__								=			letters  # type: ignore
  while len(__lowerCAmelCase							) > 1:
    lowerCAmelCase__								=			response.pop(0							)
    lowerCAmelCase__								=			response.pop(0							)
    lowerCAmelCase__								=			left.freq + right.freq
    lowerCAmelCase__								=			TreeNode(__lowerCAmelCase      ,   __lowerCAmelCase      ,   __lowerCAmelCase							)
    response.append(__lowerCAmelCase							)
    response.sort(key=lambda __lowerCAmelCase							: x.freq							)
  return response[0]
def 		a_       (   __lowerCAmelCase      ,   __lowerCAmelCase							):
  if isinstance(__lowerCAmelCase      ,   __lowerCAmelCase							):
    lowerCAmelCase__								=			bitstring
    return [root]
  lowerCAmelCase__								=			root  # type: ignore
  lowerCAmelCase__								=			[]
  letters += traverse_tree(treenode.left      ,   bitstring + '''0'''							)
  letters += traverse_tree(treenode.right      ,   bitstring + '''1'''							)
  return letters
def 		a_       (   __lowerCAmelCase							):
  lowerCAmelCase__								=			parse_file(__lowerCAmelCase							)
  lowerCAmelCase__								=			build_tree(__lowerCAmelCase							)
  lowerCAmelCase__								=			{
      k: v for letter in traverse_tree(__lowerCAmelCase      ,   ''''''							) for k, v in letter.bitstring.items()
  }
  print(F"""Huffman Coding  of {file_path}: """							)
  with open(__lowerCAmelCase							) as f:
    while True:
      lowerCAmelCase__								=			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])







def 		a_       (   __lowerCAmelCase      ,   __lowerCAmelCase							):
  lowerCAmelCase__								=			0
  for ele in arr:
    total_sum += product_sum(__lowerCAmelCase      ,   depth + 1							) if isinstance(__lowerCAmelCase      ,   __lowerCAmelCase							) else ele
  return total_sum * depth
def 		a_       (   __lowerCAmelCase							):
  return product_sum(__lowerCAmelCase      ,   1							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()

