



'''simple docstring'''




from __future__ import annotations

import sys

class      UpperCamelCase_					:





	def __init__(    self						,						A						,						A       )     ->     str:
								UpperCAmelCase	:						str					=						letter
								UpperCAmelCase	:						int					=						freq
								UpperCAmelCase	:						dict[str, str]					=						{}






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




class      UpperCamelCase_					:





	def __init__(    self						,						A						,						A						,						A       )     ->     Dict:
								UpperCAmelCase	:						int					=						freq
								UpperCAmelCase	:						Letter | TreeNode					=						left
								UpperCAmelCase	:						Letter | TreeNode					=						right




def  __lowerCamelCase    (   _lowercase						) ->     list[Letter]:
							UpperCAmelCase	:						dict[str, int]					=						{}
							with open(_lowercase						) as f:
														while True:
																					UpperCAmelCase	:						Tuple					=						f.read(1						)
																					if not c:
																												break
																					UpperCAmelCase	:						List[str]					=						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  __lowerCamelCase    (   _lowercase						) ->     Letter | TreeNode:
							UpperCAmelCase	:						list[Letter | TreeNode]					=						letters  # type: ignore
							while len(_lowercase						) > 1:
														UpperCAmelCase	:						Optional[int]					=						response.pop(0						)
														UpperCAmelCase	:						Optional[Any]					=						response.pop(0						)
														UpperCAmelCase	:						List[Any]					=						left.freq + right.freq
														UpperCAmelCase	:						List[str]					=						TreeNode(_lowercase      ,							_lowercase      ,							_lowercase						)
														response.append(_lowercase						)
														response.sort(key=lambda _lowercase						: x.freq						)
							return response[0]



def  __lowerCamelCase    (   _lowercase      ,							_lowercase						) ->     list[Letter]:
							if isinstance(_lowercase      ,							_lowercase						):
														UpperCAmelCase	:						Optional[int]					=						bitstring
														return [root]
							UpperCAmelCase	:						TreeNode					=						root  # type: ignore
							UpperCAmelCase	:						int					=						[]
							letters += traverse_tree(treenode.left      ,							bitstring + """0"""						)
							letters += traverse_tree(treenode.right      ,							bitstring + """1"""						)
							return letters



def  __lowerCamelCase    (   _lowercase						) ->     None:
							UpperCAmelCase	:						Union[str, Any]					=						parse_file(_lowercase						)
							UpperCAmelCase	:						Dict					=						build_tree(_lowercase						)
							UpperCAmelCase	:						Optional[int]					=						{
							    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	:						Dict					=						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 __future__ import annotations



def  __lowerCamelCase    (   _lowercase						) ->     int | None:
							for r in range(1      ,							_lowercase						):
														UpperCAmelCase	:						Dict					=						[]
														for x in range(n - 1						):
																					UpperCAmelCase	:						List[str]					=						pow(_lowercase      ,							_lowercase      ,							_lowercase						)
																					if val in li:
																												break
																					li.append(_lowercase						)
														else:
																					return r
							return None


if __name__ == "__main__":
							a  :     Dict       =       int(input("""Enter a prime number q: """))
							a  :     Union[str, Any]       =       find_primitive(q)
							if a is None:
														print(F'''Cannot find the primitive for the value: {a!r}''')
							else:
														a  :     str       =       int(input("""Enter private key of A: """))
														a  :     str       =       pow(a, a_private, q)
														a  :     List[Any]       =       int(input("""Enter private key of B: """))
														a  :     str       =       pow(a, b_private, q)

														a  :     Union[str, Any]       =       pow(b_public, a_private, q)
														a  :     List[Any]       =       pow(a_public, b_private, q)

														print("""The key value generated by A is: """, a_secret)
														print("""The key value generated by B is: """, b_secret)

