




from __future__ import annotations

import sys







class 				UpperCAmelCase:



	"""simple docstring"""






	def __init__(					self	,				lowerCamelCase	,				lowerCamelCase    ) ->      int:





								"""simple docstring"""


								lowercase__  :	str        =							letter
								lowercase__  :	int        =							freq
								lowercase__  :	dict[str, str]        =							{}







	def __repr__(					self    ) ->      str:





								"""simple docstring"""


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







class 				UpperCAmelCase:



	"""simple docstring"""






	def __init__(					self	,				lowerCamelCase	,				lowerCamelCase	,				lowerCamelCase    ) ->      Optional[Any]:





								"""simple docstring"""


								lowercase__  :	int        =							freq
								lowercase__  :	Letter | TreeNode        =							left
								lowercase__  :	Letter | TreeNode        =							right

def  snake_case_					(		SCREAMING_SNAKE_CASE_    )      ->			list[Letter]:
							lowercase__  :	dict[str, int]        =							{}
							with open(SCREAMING_SNAKE_CASE_    ) as f:
														while True:
																					lowercase__  :	Optional[Any]        =							f.read(1    )
																					if not c:
																												break
																					lowercase__  :	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 SCREAMING_SNAKE_CASE_    : x.freq    )
def  snake_case_					(		SCREAMING_SNAKE_CASE_    )      ->			Letter | TreeNode:
							lowercase__  :	list[Letter | TreeNode]        =							letters  # type: ignore
							while len(SCREAMING_SNAKE_CASE_    ) > 1:
														lowercase__  :	Optional[int]        =							response.pop(0    )
														lowercase__  :	List[str]        =							response.pop(0    )
														lowercase__  :	Union[str, Any]        =							left.freq + right.freq
														lowercase__  :	str        =							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  snake_case_					(		SCREAMING_SNAKE_CASE_    ,SCREAMING_SNAKE_CASE_    )      ->			list[Letter]:
							if isinstance(SCREAMING_SNAKE_CASE_    ,SCREAMING_SNAKE_CASE_    ):
														lowercase__  :	Optional[int]        =							bitstring
														return [root]
							lowercase__  :	TreeNode        =							root  # type: ignore
							lowercase__  :	Any        =							[]
							letters += traverse_tree(treenode.left    ,bitstring + "0"    )
							letters += traverse_tree(treenode.right    ,bitstring + "1"    )
							return letters
def  snake_case_					(		SCREAMING_SNAKE_CASE_    )      ->			None:
							lowercase__  :	Tuple        =							parse_file(SCREAMING_SNAKE_CASE_    )
							lowercase__  :	List[str]        =							build_tree(SCREAMING_SNAKE_CASE_    )
							lowercase__  :	Dict        =							{
							    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:
																					lowercase__  :	Union[str, 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])





from __future__ import annotations

import math
import random
def  snake_case_					(		SCREAMING_SNAKE_CASE_    ,SCREAMING_SNAKE_CASE_    ,SCREAMING_SNAKE_CASE_    )      ->			list[int]:
							lowercase__  :	List[Any]        =							d * e - 1
							lowercase__  :	Any        =							0
							lowercase__  :	Dict        =							0
							while p == 0:
														lowercase__  :	Dict        =							random.randint(2    ,n - 1    )
														lowercase__  :	int        =							k
														while True:
																					if t % 2 == 0:
																												lowercase__  :	str        =							t // 2
																												lowercase__  :	int        =							(g**t) % n
																												lowercase__  :	List[Any]        =							math.gcd(x - 1    ,SCREAMING_SNAKE_CASE_    )
																												if x > 1 and y > 1:
																																			lowercase__  :	Any        =							y
																																			lowercase__  :	Optional[int]        =							n // y
																																			break  # find the correct factors
																					else:
																												break  # t is not divisible by 2, break and choose another g
							return sorted([p, q]    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()