






from __future__ import annotations

import sys




class 						UpperCAmelCase_  :


						'''simple docstring'''




						def __init__(		self						, _SCREAMING_SNAKE_CASE						, _SCREAMING_SNAKE_CASE )       -> List[Any]:
								snake_case_ :							Any         =				letter
								snake_case_ :							Tuple         =				freq
								snake_case_ :							List[str]         =				{}






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




class 						UpperCAmelCase_  :


						'''simple docstring'''




						def __init__(		self						, _SCREAMING_SNAKE_CASE						, _SCREAMING_SNAKE_CASE						, _SCREAMING_SNAKE_CASE )       -> Optional[Any]:
								snake_case_ :							Any         =				freq
								snake_case_ :							Dict         =				left
								snake_case_ :							Tuple         =				right




def    lowerCAmelCase__		(			_a				:	Any			):
		snake_case_ :							int         =				{}
		with open(SCREAMING_SNAKE_CASE_			) as f:
				while True:
						snake_case_ :							Tuple         =				f.read(1			)
						if not c:
								break
						snake_case_ :							Tuple         =				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 _a			: x.freq			)

def    lowerCAmelCase__		(			_a				:	int			):
		snake_case_ :							Tuple         =				letters  # type: ignore
		while len(SCREAMING_SNAKE_CASE_			) > 1:
				snake_case_ :							Optional[Any]         =				response.pop(0			)
				snake_case_ :							List[Any]         =				response.pop(0			)
				snake_case_ :							str         =				left.freq + right.freq
				snake_case_ :							Dict         =				TreeNode(SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_			)
				response.append(SCREAMING_SNAKE_CASE_			)
				response.sort(key=lambda _a			: x.freq			)
		return response[0]

def    lowerCAmelCase__		(			_a				:	List[str]     ,					_a				:	Optional[int]			):
		if isinstance(SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_			):
				snake_case_ :							List[str]         =				bitstring
				return [root]
		snake_case_ :							Optional[int]         =				root  # type: ignore
		snake_case_ :							Dict         =				[]
		letters += traverse_tree(treenode.left     ,					bitstring + "0"			)
		letters += traverse_tree(treenode.right     ,					bitstring + "1"			)
		return letters

def    lowerCAmelCase__		(			_a				:	Tuple			):
		snake_case_ :							str         =				parse_file(SCREAMING_SNAKE_CASE_			)
		snake_case_ :							str         =				build_tree(SCREAMING_SNAKE_CASE_			)
		snake_case_ :							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:
						snake_case_ :							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])


"""simple docstring"""




from functools import lru_cache

@lru_cache
def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_			):
					if not isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										raise TypeError('k must be an integer.'			)
					if k < 0:
										raise ValueError('k integer must be greater or equal to zero.'			)
					if k == 0:
										return 0
					elif k == 1:
										return 1
					else:
										return fibonacci(k - 1			) + fibonacci(k - 2			)

def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
					SCREAMING_SNAKE_CASE				=	len(SCREAMING_SNAKE_CASE_			)
					# Find m such that F_m >= n where F_i is the i_th fibonacci number.
					SCREAMING_SNAKE_CASE				=	0
					while True:
										if fibonacci(SCREAMING_SNAKE_CASE_			) >= len_list:
															SCREAMING_SNAKE_CASE				=	i
															break
										i += 1
					SCREAMING_SNAKE_CASE				=	0
					while fibb_k > 0:
										SCREAMING_SNAKE_CASE				=	min(
										    offset + fibonacci(fibb_k - 1			),     len_list - 1			)  # Prevent out of range
										SCREAMING_SNAKE_CASE				=	arr[index_k]
										if item_k_1 == val:
															return index_k
										elif val < item_k_1:
															fibb_k -= 1
										elif val > item_k_1:
															offset += fibonacci(fibb_k - 1			)
															fibb_k -= 2
					else:
										return -1


if __name__ == "__main__":
	import doctest

	doctest.testmod()
