

from __future__ import annotations

import sys






class 				A_					:


     def __init__(				self     :						List[str]     ,    UpperCAmelCase     :						str     ,    UpperCAmelCase     :						int   )				->      Any:
      __lowerCAmelCase:  str        = letter
      __lowerCAmelCase:  int        = freq
      __lowerCAmelCase:  dict[str, str]        = {}


     def __repr__(				self     :						Any   )				->      str:
      return F'''{self.letter}:{self.freq}'''







class 				A_					:


     def __init__(				self     :						Dict     ,    UpperCAmelCase     :						int     ,    UpperCAmelCase     :						Letter | TreeNode     ,    UpperCAmelCase     :						Letter | TreeNode   )				->      List[Any]:
      __lowerCAmelCase:  int        = freq
      __lowerCAmelCase:  Letter | TreeNode        = left
      __lowerCAmelCase:  Letter | TreeNode        = right







def _a					(			SCREAMING_SNAKE_CASE						:     str						)       ->       list[Letter]:

 """simple docstring"""






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







def _a					(			SCREAMING_SNAKE_CASE						:     list[Letter]						)       ->       Letter | TreeNode:

 """simple docstring"""






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







def _a					(			SCREAMING_SNAKE_CASE						:     Letter | TreeNode       ,   SCREAMING_SNAKE_CASE						:     str						)       ->       list[Letter]:

 """simple docstring"""






 if isinstance(SCREAMING_SNAKE_CASE       ,   SCREAMING_SNAKE_CASE						):
  __lowerCAmelCase:  int        = bitstring
  return [root]
 __lowerCAmelCase:  TreeNode        = root  # type: ignore
 __lowerCAmelCase:  Optional[int]        = []
 letters += traverse_tree(treenode.left       ,   bitstring + '0'						)
 letters += traverse_tree(treenode.right       ,   bitstring + '1'						)
 return letters







def _a					(			SCREAMING_SNAKE_CASE						:     str						)       ->       None:

 """simple docstring"""






 __lowerCAmelCase:  Dict        = parse_file(SCREAMING_SNAKE_CASE						)
 __lowerCAmelCase:  List[str]        = build_tree(SCREAMING_SNAKE_CASE						)
 __lowerCAmelCase:  Union[str, Any]        = {
     k: v for letter in traverse_tree(SCREAMING_SNAKE_CASE       ,   ''						) for k, v in letter.bitstring.items()
 }
 print(f'''Huffman Coding  of {file_path}: '''						)
 with open(SCREAMING_SNAKE_CASE						) as f:
  while True:
   __lowerCAmelCase:  List[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])








import numpy as np







def _a					(			SCREAMING_SNAKE_CASE						:     Union[str, Any]						)       ->       List[str]:

 """simple docstring"""






 __lowerCAmelCase:  Union[str, Any]        = np.exp(SCREAMING_SNAKE_CASE						)

 # Add up the all the exponentials
 __lowerCAmelCase:  Dict        = np.sum(SCREAMING_SNAKE_CASE						)

 # Divide every exponent by the sum of all exponents
 __lowerCAmelCase:  int        = exponent_vector / sum_of_exponents

 return softmax_vector


if __name__ == "__main__":
  print(softmax((0,)))





