


'''simple docstring'''







from __future__ import annotations

import sys







class A__	:






      def __init__(			self      :Union[str, Any]					,						SCREAMING_SNAKE_CASE      :List[Any]					,						SCREAMING_SNAKE_CASE      :Union[str, Any]     )	-> Tuple:




             '''simple docstring'''
             _a   :			int					 =letter
             _a   :			Any					 =freq
             _a   :			Optional[int]					 ={}






      def __repr__(			self      :Dict     )	-> str:




             '''simple docstring'''
             return f"{self.letter}:{self.freq}"







class A__	:






      def __init__(			self      :Tuple					,						SCREAMING_SNAKE_CASE      :Any					,						SCREAMING_SNAKE_CASE      :Optional[Any]					,						SCREAMING_SNAKE_CASE      :Tuple     )	-> Any:




             '''simple docstring'''
             _a   :			Tuple					 =freq
             _a   :			List[str]					 =left
             _a   :			Optional[int]					 =right


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     List[str]  )  ->      Tuple:
       _a   :			Dict					 ={}
       with open(__A  ) as f:
              while True:
                     _a   :			Union[str, Any]					 =f.read(1  )
                     if not c:
                            break
                     _a   :			Dict					 =chars[c] + 1 if c in chars else 1
       return sorted((Letter(__A   ,__A  ) for c, f in chars.items())   ,key=lambda _UpperCAmelCase  : x.freq  )


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     Dict  )  ->      Union[str, Any]:
       _a   :			int					 =letters  # type: ignore
       while len(__A  ) > 1:
              _a   :			Any					 =response.pop(0  )
              _a   :			Optional[Any]					 =response.pop(0  )
              _a   :			Dict					 =left.freq + right.freq
              _a   :			str					 =TreeNode(__A   ,__A   ,__A  )
              response.append(__A  )
              response.sort(key=lambda _UpperCAmelCase  : x.freq  )
       return response[0]


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     str   ,_UpperCAmelCase     :     List[Any]  )  ->      Any:



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


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     Dict  )  ->      Dict:
       _a   :			Dict					 =parse_file(__A  )
       _a   :			List[Any]					 =build_tree(__A  )
       _a   :			Optional[int]					 ={
           k: v for letter in traverse_tree(__A   ,""""""  ) for k, v in letter.bitstring.items()
       }
       print(F"Huffman Coding  of {file_path}: "  )
       with open(__A  ) as f:
              while True:
                     _a   :			str					 =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'''







import math


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     int  )  ->      int:
       return sum(int(_UpperCAmelCase  ) for digit in str(_UpperCAmelCase  )  )


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     int = 30  )  ->      int:
       _a   :			List[Any]					 =[]
       for digit in range(2   ,100  ):
              for power in range(2   ,100  ):
                     _a   :			Optional[Any]					 =int(math.pow(_UpperCAmelCase   ,_UpperCAmelCase  )  )
                     if digit == digit_sum(_UpperCAmelCase  ):
                            digit_to_powers.append(_UpperCAmelCase  )

       digit_to_powers.sort()
       return digit_to_powers[n - 1]


if __name__ == "__main__":
   print(solution())


