






"""simple docstring"""



from __future__ import annotations

import sys




class  lowerCAmelCase__ :
      def __init__(		self			:  Dict       , snake_case__			:  str       , snake_case__			:  int       ):


           '''simple docstring'''
           UpperCAmelCase__	:						str       =       letter
           UpperCAmelCase__	:						int       =       freq
           UpperCAmelCase__	:						dict[str, str]       =       {}




      def __repr__(		self			:  int       ):


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




class  lowerCAmelCase__ :
      def __init__(		self			:  Union[str, Any]       , snake_case__			:  int       , snake_case__			:  Letter | TreeNode       , snake_case__			:  Letter | TreeNode       ):


           '''simple docstring'''
           UpperCAmelCase__	:						int       =       freq
           UpperCAmelCase__	:						Letter | TreeNode       =       left
           UpperCAmelCase__	:						Letter | TreeNode       =       right




def   SCREAMING_SNAKE_CASE__					(     snake_case					:   str							)->		list[Letter]:






     '''simple docstring'''



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


def   SCREAMING_SNAKE_CASE__					(     snake_case					:   list[Letter]							)->		Letter | TreeNode:






     '''simple docstring'''



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


def   SCREAMING_SNAKE_CASE__					(     snake_case					:   Letter | TreeNode ,				snake_case					:   str							)->		list[Letter]:






     '''simple docstring'''



     if isinstance(snake_case ,				snake_case							):
          UpperCAmelCase__	:						Tuple       =       bitstring
          return [root]
     UpperCAmelCase__	:						TreeNode       =       root  # type: ignore
     UpperCAmelCase__	:						Optional[Any]       =       []
     letters += traverse_tree(treenode.left ,				bitstring + "0"							)
     letters += traverse_tree(treenode.right ,				bitstring + "1"							)
     return letters


def   SCREAMING_SNAKE_CASE__					(     snake_case					:   str							)->		None:






     '''simple docstring'''



     UpperCAmelCase__	:						int       =       parse_file(snake_case							)
     UpperCAmelCase__	:						Optional[Any]       =       build_tree(snake_case							)
     UpperCAmelCase__	:						Tuple       =       {
         k: v for letter in traverse_tree(snake_case ,				""							) for k, v in letter.bitstring.items()
     }
     print(f'Huffman Coding  of {file_path}: '							)
     with open(snake_case							) as f:
          while True:
               UpperCAmelCase__	:						Tuple       =       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"""



def   SCREAMING_SNAKE_CASE__					(     snake_case					:   int							)->		list:






     '''simple docstring'''



     UpperCAmelCase__	:						List[str]       =       [True for i in range(n + 1							)]
     UpperCAmelCase__	:						List[str]       =       [i - 1 for i in range(n + 1							)]
     UpperCAmelCase__	:						int       =       []
     for i in range(2 ,				n + 1							):
          if is_prime[i]:
               primes.append(snake_case							)
          for j in range(0 ,				len(snake_case							)							):
               if i * primes[j] >= n:
                    break
               UpperCAmelCase__	:						Optional[Any]       =       False

               if i % primes[j] == 0:
                    UpperCAmelCase__	:						str       =       totients[i] * primes[j]
                    break

               UpperCAmelCase__	:						Union[str, Any]       =       totients[i] * (primes[j] - 1)

     return totients


if __name__ == "__main__":
 import doctest

 doctest.testmod()


