






from __future__ import annotations





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_,  snake_case_  )   ->  int:


	"""simple docstring"""



	assert n > 1 and a > 0 and greatest_common_divisor(snake_case_,  snake_case_  ) == 1
	((a)	, (a)	, (a))		=			extended_gcd(snake_case_,  snake_case_  )  # Implemented below
	a		=			(b * s) % n
	return x





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  int:


	"""simple docstring"""



	((a)	, (a))		=			extended_euclid(snake_case_,  snake_case_  )  # Implemented below
	if b < 0:
		a		=			(b % n + n) % n
	return b





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_,  snake_case_  )   ->  int:


	"""simple docstring"""



	a		=			invert_modulo(snake_case_,  snake_case_  )
	a		=			(b * s) % n
	return x





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  tuple[int, int, int]:


	"""simple docstring"""



	assert a >= 0 and b >= 0

	if b == 0:
		a	, a	, a		=			a, 1, 0
	else:
		((a)	, (a)	, (a))		=			extended_gcd(snake_case_,  a % b  )
		a		=			q
		a		=			p - q * (a // b)

	assert a % d == 0 and b % d == 0
	assert d == a * x + b * y

	return (d, x, y)





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  tuple[int, int]:


	"""simple docstring"""



	if b == 0:
		return (1, 0)
	((a)	, (a))		=			extended_euclid(snake_case_,  a % b  )
	a		=			a // b
	return (y, x - k * y)





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  int:


	"""simple docstring"""



	if a < b:
		a	, a		=			b, a

	while a % b != 0:
		a	, a		=			b, a % b

	return b


if __name__ == "__main__":
				from doctest import testmod

				testmod(name="""modular_division""", verbose=True)
				testmod(name="""modular_division2""", verbose=True)
				testmod(name="""invert_modulo""", verbose=True)
				testmod(name="""extended_gcd""", verbose=True)
				testmod(name="""extended_euclid""", verbose=True)
				testmod(name="""greatest_common_divisor""", verbose=True)













from __future__ import annotations

import sys







class 				lowerCamelCase_     :
							def __init__(						self		:					Optional[int]							,__lowerCamelCase		:					str							,__lowerCamelCase		:					int					):





								'''simple docstring'''



								a		=			letter
								a		=			freq
								a		=			{}




							def __repr__(						self		:					List[str]					):





								'''simple docstring'''



								return F"""{self.letter}:{self.freq}"""







class 				lowerCamelCase_     :
							def __init__(						self		:					Dict							,__lowerCamelCase		:					int							,__lowerCamelCase		:					Letter | TreeNode							,__lowerCamelCase		:					Letter | TreeNode					):





								'''simple docstring'''



								a		=			freq
								a		=			left
								a		=			right





def   SCREAMING_SNAKE_CASE__						(   snake_case_  )   ->  list[Letter]:


	"""simple docstring"""



	a		=			{}
	with open(snake_case_  ) as f:
		while True:
			a		=			f.read(1  )
			if not c:
				break
			a		=			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_  )   ->  Letter | TreeNode:


	"""simple docstring"""



	a		=			letters  # type: ignore
	while len(snake_case_  ) > 1:
		a		=			response.pop(0  )
		a		=			response.pop(0  )
		a		=			left.freq + right.freq
		a		=			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_,  snake_case_  )   ->  list[Letter]:


	"""simple docstring"""



	if isinstance(snake_case_,  snake_case_  ):
		a		=			bitstring
		return [root]
	a		=			root  # type: ignore
	a		=			[]
	letters += traverse_tree(treenode.left,  bitstring + '''0'''  )
	letters += traverse_tree(treenode.right,  bitstring + '''1'''  )
	return letters





def   SCREAMING_SNAKE_CASE__						(   snake_case_  )   ->  None:


	"""simple docstring"""



	a		=			parse_file(snake_case_  )
	a		=			build_tree(snake_case_  )
	a		=			{
	    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:
			a		=			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])





