





import numpy as np
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		Union[str, Any]:


   '''simple docstring'''







   __A    =  np.array(_a      )
   __A    =  np.array(_a      )

   __A    =  abs(predict - actual      )
   __A    =  difference.mean()

   return score
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		Tuple:


   '''simple docstring'''







   __A    =  np.array(_a      )
   __A    =  np.array(_a      )

   __A    =  predict - actual
   __A    =  np.square(_a      )

   __A    =  square_diff.mean()
   return score
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		Optional[int]:


   '''simple docstring'''







   __A    =  np.array(_a      )
   __A    =  np.array(_a      )

   __A    =  predict - actual
   __A    =  np.square(_a      )
   __A    =  square_diff.mean()
   __A    =  np.sqrt(_a      )
   return score
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		List[Any]:


   '''simple docstring'''







   __A    =  np.array(_a      )
   __A    =  np.array(_a      )

   __A    =  np.log(predict + 1      )
   __A    =  np.log(actual + 1      )

   __A    =  log_predict - log_actual
   __A    =  np.square(_a      )
   __A    =  square_diff.mean()

   __A    =  np.sqrt(_a      )

   return score
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		int:


   '''simple docstring'''







   __A    =  np.array(_a      )
   __A    =  np.array(_a      )

   __A    =  predict - actual
   __A    =  np.sum(_a      ) / len(_a      )
   __A    =  np.sum(_a      ) / len(_a      )
   # print(numerator, denumerator)
   __A    =  float(_a      ) / denumerator * 1_0_0

   return score
def  __UpperCamelCase    (						snake_case							,			snake_case      )    ->		str:


   '''simple docstring'''







   return np.mean(np.array(_a      ) == np.array(_a      )      )








from __future__ import annotations

import sys





class   lowercase__     :







  def __init__(						self     ,    _lowercase     ,    _lowercase    ):
       lowerCAmelCase_       :							str			 =		letter
       lowerCAmelCase_       :							int			 =		freq
       lowerCAmelCase_       :							dict[str, str]			 =		{}







  def __repr__(						self    ):
       return F'{self.letter}:{self.freq}'





class   lowercase__     :







  def __init__(						self     ,    _lowercase     ,    _lowercase     ,    _lowercase    ):
       lowerCAmelCase_       :							int			 =		freq
       lowerCAmelCase_       :							Letter | TreeNode			 =		left
       lowerCAmelCase_       :							Letter | TreeNode			 =		right






def 				_lowerCAmelCase			(	_a :       str      )						->      list[Letter]:
     lowerCAmelCase_       :							dict[str, int]			 =		{}
     with open(_a      ) as f:
          while True:
               lowerCAmelCase_       :							Any			 =		f.read(1      )
               if not c:
                    break
               lowerCAmelCase_       :							List[str]			 =		chars[c] + 1 if c in chars else 1
     return sorted((Letter(_a       , _a      ) for c, f in chars.items())       , key=lambda _a      : x.freq      )






def 				_lowerCAmelCase			(	_a :       list[Letter]      )						->      Letter | TreeNode:
     lowerCAmelCase_       :							list[Letter | TreeNode]			 =		letters  # type: ignore
     while len(_a      ) > 1:
          lowerCAmelCase_       :							Any			 =		response.pop(0      )
          lowerCAmelCase_       :							int			 =		response.pop(0      )
          lowerCAmelCase_       :							List[Any]			 =		left.freq + right.freq
          lowerCAmelCase_       :							Union[str, Any]			 =		TreeNode(_a       , _a       , _a      )
          response.append(_a      )
          response.sort(key=lambda _a      : x.freq      )
     return response[0]






def 				_lowerCAmelCase			(	_a :       Letter | TreeNode       , _a :       str      )						->      list[Letter]:
     if isinstance(_a       , _a      ):
          lowerCAmelCase_       :							Union[str, Any]			 =		bitstring
          return [root]
     lowerCAmelCase_       :							TreeNode			 =		root  # type: ignore
     lowerCAmelCase_       :							Tuple			 =		[]
     letters += traverse_tree(treenode.left       , bitstring + """0"""      )
     letters += traverse_tree(treenode.right       , bitstring + """1"""      )
     return letters






def 				_lowerCAmelCase			(	_a :       str      )						->      None:
     lowerCAmelCase_       :							Optional[Any]			 =		parse_file(_a      )
     lowerCAmelCase_       :							Optional[int]			 =		build_tree(_a      )
     lowerCAmelCase_       :							str			 =		{
         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:
               lowerCAmelCase_       :							Optional[Any]			 =		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])
