

"""simple docstring"""




from queue import Queue



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							str )     -> Any:




				'''simple docstring'''





				A__            =     Queue()
				A__            =     [False] * len(UpperCamelCase_ )
				A__            =     [-1] * len(UpperCamelCase_ )

				def bfs():
								while not queue.empty():
												A__            =     queue.get()
												A__            =     True

												for neighbour in graph[u]:
																if neighbour == u:
																				return False

																if color[neighbour] == -1:
																				A__            =     1 - color[u]
																				queue.put(UpperCamelCase_ )

																elif color[neighbour] == color[u]:
																				return False

								return True

				for i in range(len(UpperCamelCase_ ) ):
								if not visited[i]:
												queue.put(UpperCamelCase_ )
												A__            =     0
												if bfs() is False:
																return False

				return True


if __name__ == "__main__":
	# Adjacency List of graph
	print(check_bipartite({0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2]}))




from .balanced_parentheses import balanced_parentheses
from .stack import Stack



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							str )     -> int:




				'''simple docstring'''





				return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(SCREAMING_SNAKE_CASE_		,    -1 )



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							str )     -> str:




				'''simple docstring'''





				if not balanced_parentheses(SCREAMING_SNAKE_CASE_ ):
								raise ValueError("Mismatched parentheses" )
				A__            =     Stack()
				A__            =     []
				for char in expression_str:
								if char.isalpha() or char.isdigit():
												postfix.append(SCREAMING_SNAKE_CASE_ )
								elif char == "(":
												stack.push(SCREAMING_SNAKE_CASE_ )
								elif char == ")":
												while not stack.is_empty() and stack.peek() != "(":
																postfix.append(stack.pop() )
												stack.pop()
								else:
												while not stack.is_empty() and precedence(SCREAMING_SNAKE_CASE_ ) <= precedence(stack.peek() ):
																postfix.append(stack.pop() )
												stack.push(SCREAMING_SNAKE_CASE_ )
				while not stack.is_empty():
								postfix.append(stack.pop() )
				return " ".join(SCREAMING_SNAKE_CASE_ )


if __name__ == "__main__":
	from doctest import testmod

	testmod()
	lowerCAmelCase__						=	"""a+b*(c^d-e)^(f+g*h)-i"""

	print("""Infix to Postfix Notation demonstration:\n""")
	print("""Infix notation: """ + expression)
	print("""Postfix notation: """ + infix_to_postfix(expression))

