code: from __future__ import annotations
  
  import sys
  
  
  
  
  class    __lowerCAmelCase  :
  
  
  
   '''simple docstring'''
  
   def __init__(			self       :		Optional[Any]       ,			lowerCamelCase       :		List[Any]       ,			lowerCamelCase       :		Dict  ) ->							Union[str, Any]:
          _UpperCamelCase     :       str  						=  letter
          _UpperCamelCase     :       int  						=  freq
          _UpperCamelCase     :       dict[str, str]  						=  {}
  
   def __repr__(			self       :		Optional[Any]  ) ->							Optional[Any]:
          return f"{self.letter}:{self.freq}"
  
  
  
  
  
  
  
  class    __lowerCAmelCase  :
  
  
  
   '''simple docstring'''
  
   def __init__(			self       :		Any       ,			lowerCamelCase       :		List[str]       ,			lowerCamelCase       :		Optional[int]       ,			lowerCamelCase       :		int  ) ->							str:
          _UpperCamelCase     :       int  						=  freq
          _UpperCamelCase     :       Letter | TreeNode  						=  left
          _UpperCamelCase     :       Letter | TreeNode  						=  right
  
  
  
  
  
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	Optional[int]				):
         _UpperCamelCase     :       dict[str, int]  						=  {}
         with open(lowercase_				) as f:
                while True:
                       _UpperCamelCase     :       int  						=  f.read(1				)
                       if not c:
                              break
                       _UpperCamelCase     :       Union[str, Any]  						=  chars[c] + 1 if c in chars else 1
         return sorted((Letter(lowercase_		,						lowercase_				) for c, f in chars.items())		,						key=lambda lowercase_				: x.freq				)
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	Dict				):
         _UpperCamelCase     :       list[Letter | TreeNode]  						=  letters  # type: ignore
         while len(lowercase_				) > 1:
                _UpperCamelCase     :       List[str]  						=  response.pop(0				)
                _UpperCamelCase     :       Optional[int]  						=  response.pop(0				)
                _UpperCamelCase     :       Optional[int]  						=  left.freq + right.freq
                _UpperCamelCase     :       str  						=  TreeNode(lowercase_		,						lowercase_		,						lowercase_				)
                response.append(lowercase_				)
                response.sort(key=lambda lowercase_				: x.freq				)
         return response[0]
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	Optional[Any]		,						lowercase_:	Tuple				):
         if isinstance(lowercase_		,						lowercase_				):
                _UpperCamelCase     :       Optional[Any]  						=  bitstring
                return [root]
         _UpperCamelCase     :       TreeNode  						=  root  # type: ignore
         _UpperCamelCase     :       str  						=  []
         letters += traverse_tree(treenode.left		,						bitstring + '0'				)
         letters += traverse_tree(treenode.right		,						bitstring + '1'				)
         return letters
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	Dict				):
         _UpperCamelCase     :       str  						=  parse_file(lowercase_				)
         _UpperCamelCase     :       int  						=  build_tree(lowercase_				)
         _UpperCamelCase     :       List[Any]  						=  {
             k: v for letter in traverse_tree(lowercase_		,						''				) for k, v in letter.bitstring.items()
         }
         print(F"Huffman Coding  of {file_path}: "				)
         with open(lowercase_				) as f:
                while True:
                       _UpperCamelCase     :       Optional[int]  						=  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])
  
  
  
  
style_context: import math
  from collections.abc import Generator
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	int				):
         _UpperCamelCase     :       Generator  						=  (i for i in range(1		,						(max_n + 1)				))
         for i in (n for n in numbers if n > 1):
                for j in range(2		,						lowercase_				):
                       if (i % j) == 0:
                              break
                else:
                       yield i
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	int				):
         _UpperCamelCase     :       Generator  						=  (i for i in range(1		,						(max_n + 1)				))
         for i in (n for n in numbers if n > 1):
                # only need to check for factors up to sqrt(i)
                _UpperCamelCase     :       Any  						=  int(math.sqrt(lowercase_				)				) + 1
                for j in range(2		,						lowercase_				):
                       if (i % j) == 0:
                              break
                else:
                       yield i
  
  
  def SCREAMING_SNAKE_CASE				(     lowercase_:	int				):
         _UpperCamelCase     :       Generator  						=  (i for i in range(1		,						(max_n + 1)		,						2				))
         # It's useless to test even numbers as they will not be prime
         if max_n > 2:
                yield 2  # Because 2 will not be tested, it's necessary to yield it now
         for i in (n for n in numbers if n > 1):
                _UpperCamelCase     :       Tuple  						=  int(math.sqrt(lowercase_				)				) + 1
                for j in range(3		,						lowercase_		,						2				):
                       # As we removed the even numbers, we don't need them now
                       if (i % j) == 0:
                              break
                else:
                       yield i
  
  
  def SCREAMING_SNAKE_CASE				(     ):
         from timeit import timeit
  
         _UpperCamelCase     :       Optional[Any]  						=  'from __main__ import slow_primes, primes, fast_primes'
         print(timeit('slow_primes(1_000_000_000_000)'		,						setup=lowercase_		,						number=1000000				)				)
         print(timeit('primes(1_000_000_000_000)'		,						setup=lowercase_		,						number=1000000				)				)
         print(timeit('fast_primes(1_000_000_000_000)'		,						setup=lowercase_		,						number=1000000				)				)
  
  
  if __name__ == "__main__":
   UpperCAmelCase					=				int(input('''Calculate primes up to:\n>> ''').strip())
   for ret in primes(number):
    print(ret)
   benchmark()
  
  
  
  