





from __future__ import annotations

import sys
class 							snake_case_		:







		def __init__(		self      ,  __lowercase      ,  __lowercase )					-> Union[str, Any]:
				lowerCamelCase :			str    		=letter
				lowerCamelCase :			int    		=freq
				lowerCamelCase :			dict[str, str]    		={}







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

class 							snake_case_		:







		def __init__(		self      ,  __lowercase      ,  __lowercase      ,  __lowercase )					-> Any:
				lowerCamelCase :			int    		=freq
				lowerCamelCase :			Letter | TreeNode    		=left
				lowerCamelCase :			Letter | TreeNode    		=right


def        A__						(							SCREAMING_SNAKE_CASE_		) ->  list[Letter]:
		lowerCamelCase :			dict[str, int]    		={}
		with open(SCREAMING_SNAKE_CASE_		) as f:
				while True:
						lowerCamelCase :			List[Any]    		=f.read(1		)
						if not c:
								break
						lowerCamelCase :			Optional[Any]    		=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_		) ->  Letter | TreeNode:
		lowerCamelCase :			list[Letter | TreeNode]    		=letters  # type: ignore
		while len(SCREAMING_SNAKE_CASE_		) > 1:
				lowerCamelCase :			List[Any]    		=response.pop(0		)
				lowerCamelCase :			List[str]    		=response.pop(0		)
				lowerCamelCase :			Dict    		=left.freq + right.freq
				lowerCamelCase :			Dict    		=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_				,							SCREAMING_SNAKE_CASE_		) ->  list[Letter]:
		if isinstance(SCREAMING_SNAKE_CASE_				,							SCREAMING_SNAKE_CASE_		):
				lowerCamelCase :			List[Any]    		=bitstring
				return [root]
		lowerCamelCase :			TreeNode    		=root  # type: ignore
		lowerCamelCase :			int    		=[]
		letters += traverse_tree(treenode.left				,							bitstring + '''0'''		)
		letters += traverse_tree(treenode.right				,							bitstring + '''1'''		)
		return letters


def        A__						(							SCREAMING_SNAKE_CASE_		) ->  None:
		lowerCamelCase :			int    		=parse_file(SCREAMING_SNAKE_CASE_		)
		lowerCamelCase :			Dict    		=build_tree(SCREAMING_SNAKE_CASE_		)
		lowerCamelCase :			Optional[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 :			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])








def        A__						(							SCREAMING_SNAKE_CASE_				,							SCREAMING_SNAKE_CASE_				,							SCREAMING_SNAKE_CASE_		) ->  Dict:
		assert b != 0, "This cannot accept modulo that is == 0"
		if n == 0:
				return 1

		if n % 2 == 1:
				return (bin_exp_mod(SCREAMING_SNAKE_CASE_				,							n - 1				,							SCREAMING_SNAKE_CASE_		) * a) % b

		lowerCamelCase :			Tuple    		=bin_exp_mod(SCREAMING_SNAKE_CASE_				,							n / 2				,							SCREAMING_SNAKE_CASE_		)
		return (r * r) % b


if __name__ == "__main__":
				try:
								snake_case_				=      int(input('''Enter Base : ''').strip())
								snake_case_				=      int(input('''Enter Power : ''').strip())
								snake_case_				=      int(input('''Enter Modulo : ''').strip())
				except ValueError:
								print('''Invalid literal for integer''')

				print(bin_exp_mod(BASE, POWER, MODULO))

