


def 				lowerCamelCase__	(      a	:   Optional[int]				)    ->	str:





			"""simple docstring"""
			a__ :Any						  =    []
			a__ :Union[str, Any]						  =    []
			a__ :Tuple						  =    {
			    "^": 3,
			    "*": 2,
			    "/": 2,
			    "%": 2,
			    "+": 1,
			    "-": 1,
			}  # Priority of each operator
			a__ :Optional[Any]						  =    len(a				) if (len(a				) > 7) else 7

			# Print table header for output
			print(
			    "Symbol".center(8				)	,  "Stack".center(a				)	,  "Postfix".center(a				)	,  sep=" | "	,  )
			print("-" * (print_width * 3 + 7)				)

			for x in infix:
						if x.isalpha() or x.isdigit():
									post_fix.append(a				)  # if x is Alphabet / Digit, add it to Postfix
						elif x == "(":
									stack.append(a				)  # if x is "(" push to Stack
						elif x == ")":  # if x is ")" pop stack until "(" is encountered
									while stack[-1] != "(":
												post_fix.append(stack.pop()				)  # Pop stack & add the content to Postfix
									stack.pop()
						else:
									if len(a				) == 0:
												stack.append(a				)  # If stack is empty, push x to stack
									else:  # while priority of x is not > priority of element in the stack
												while len(a				) > 0 and priority[x] <= priority[stack[-1]]:
															post_fix.append(stack.pop()				)  # pop stack & add to Postfix
												stack.append(a				)  # push x to stack

						print(
						    x.center(8				)	,  ("".join(a				)).ljust(a				)	,  ("".join(a				)).ljust(a				)	,  sep=" | "	,  )  # Output in tabular format

			while len(a				) > 0:  # while stack is not empty
						post_fix.append(stack.pop()				)  # pop stack & add to Postfix
						print(
						    " ".center(8				)	,  ("".join(a				)).ljust(a				)	,  ("".join(a				)).ljust(a				)	,  sep=" | "	,  )  # Output in tabular format

			return "".join(a				)  # return Postfix as str


def 				lowerCamelCase__	(      a	:   List[Any]				)    ->	Tuple:





			"""simple docstring"""
			a__ :Optional[int]						  =    list(infix[::-1]				)  # reverse the infix equation

			for i in range(len(a				)				):
						if infix[i] == "(":
									a__ :Dict						  =    ")"  # change "(" to ")"
						elif infix[i] == ")":
									a__ :Optional[int]						  =    "("  # change ")" to "("

			return (infix_2_postfix("".join(a				)				))[
			    ::-1
			]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
		snake_case__			 =						input('''\nEnter an Infix Equation = ''')  # Input an Infix equation
		snake_case__			 =						''''''.join(Infix.split())  # Remove spaces from the input
		print('''\n\t''', Infix, '''(Infix) -> ''', infix_2_prefix(Infix), '''(Prefix)''')






class 					lowerCAmelCase_ :




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






									"""simple docstring"""






									a__ :Tuple						  =    {}




						def  _snake_case					(	self						:   Tuple						)      ->None:






									"""simple docstring"""






									print(self.vertex						)
									for i in self.vertex:
												print(__A   ,     " -> "   ,     " -> ".join([str(__A						) for j in self.vertex[i]]						)						)




						def  _snake_case					(	self						:   Optional[int]   ,     __A						:   int   ,     __A						:   int						)      ->None:






									"""simple docstring"""






									if from_vertex in self.vertex:
												self.vertex[from_vertex].append(__A						)
									else:
												# else make a new vertex
												a__ :Any						  =    [to_vertex]




						def  _snake_case					(	self						:   Optional[int]						)      ->None:






									"""simple docstring"""






									a__ :List[Any]						  =    [False] * len(self.vertex						)

									# call the recursive helper function
									for i in range(len(self.vertex						)						):
												if not visited[i]:
															self.dfs_recursive(__A   ,     __A						)






						def  _snake_case					(	self						:   Union[str, Any]   ,     __A						:   int   ,     __A						:   list						)      ->None:






									"""simple docstring"""






									a__ :Dict						  =    True

									print(__A   ,     end=" "						)

									# Recur for all the vertices that are adjacent to this node
									for i in self.vertex:
												if not visited[i]:
															self.dfs_recursive(__A   ,     __A						)


if __name__ == "__main__":
		snake_case__			 =						Graph()
		g.add_edge(0, 1)
		g.add_edge(0, 2)
		g.add_edge(1, 2)
		g.add_edge(2, 0)
		g.add_edge(2, 3)
		g.add_edge(3, 3)

		g.print_graph()
		print('''DFS:''')
		g.dfs()

		# OUTPUT:
		# 0  ->  1 -> 2
		# 1  ->  2
		# 2  ->  0 -> 3
		# 3  ->  3
		# DFS:
		#  0 1 2 3


