"""simple docstring"""


from __future__ import annotations

import sys






class        __UpperCAmelCase						:

    def __init__(				self     ,			_lowerCamelCase     ,			_lowerCamelCase				):
          lowerCamelCase__ =letter
          lowerCamelCase__ =freq
          lowerCamelCase__ ={}






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






class        __UpperCAmelCase						:

    def __init__(				self     ,			_lowerCamelCase     ,			_lowerCamelCase     ,			_lowerCamelCase				):
          lowerCamelCase__ =freq
          lowerCamelCase__ =left
          lowerCamelCase__ =right





def       lowerCamelCase_			( __lowerCAmelCase    )							-> list[Letter]:




      '''simple docstring'''



      lowerCamelCase__ ={}
      with open(A__    ) 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(A__       ,   A__    ) for c, f in chars.items())       ,   key=lambda __lowerCAmelCase    : x.freq    )





def       lowerCamelCase_			( __lowerCAmelCase    )							-> Letter | TreeNode:




      '''simple docstring'''



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





def       lowerCamelCase_			( __lowerCAmelCase       ,   __lowerCAmelCase    )							-> list[Letter]:




      '''simple docstring'''



      if isinstance(A__       ,   A__    ):
            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       lowerCamelCase_			( __lowerCAmelCase    )							-> None:




      '''simple docstring'''



      lowerCamelCase__ =parse_file(A__    )
      lowerCamelCase__ =build_tree(A__    )
      lowerCamelCase__ ={
          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__ =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       lowerCamelCase_			( __lowerCAmelCase    )							-> bool:




						'''simple docstring'''



						if not isinstance(__lowerCAmelCase       ,   __lowerCAmelCase    ):
												raise ValueError("Input series is not valid, valid series - [2, 4, 8]"    )
						if len(__lowerCAmelCase    ) == 0:
												raise ValueError("Input list must be a non empty list"    )
						if len(__lowerCAmelCase    ) == 1:
												return True
						try:
												lowerCamelCase__ =series[1] / series[0]
												for index in range(len(__lowerCAmelCase    ) - 1    ):
																		if series[index + 1] / series[index] != common_ratio:
																								return False
						except ZeroDivisionError:
												return False
						return True





def       lowerCamelCase_			( __lowerCAmelCase    )							-> float:




						'''simple docstring'''



						if not isinstance(__lowerCAmelCase       ,   __lowerCAmelCase    ):
												raise ValueError("Input series is not valid, valid series - [2, 4, 8]"    )
						if len(__lowerCAmelCase    ) == 0:
												raise ValueError("Input list must be a non empty list"    )
						lowerCamelCase__ =1
						for value in series:
												answer *= value
						return pow(__lowerCAmelCase       ,   1 / len(__lowerCAmelCase    )    )


if __name__ == "__main__":
	import doctest

	doctest.testmod()


