






# A Bipartite Graph is a graph whose vertices can be divided into two independent sets,
# U and V such that every edge (u, v) either connects a vertex from U to V or a vertex
# from V to U. In other words, for every edge (u, v), either u belongs to U and v to V,
# or u belongs to V and v to U. We can also say that there is no edge that connects
# vertices of same set.
from queue import Queue



def      UpperCAmelCase						( lowerCAmelCase__	):


		'''simple docstring'''

		__A    =							Queue()
		__A    =							[False] * len(lowerCAmelCase__	)
		__A    =							[-1] * len(lowerCAmelCase__	)

		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(lowerCAmelCase__	)

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

				return True

		for i in range(len(lowerCAmelCase__	)	):
				if not visited[i]:
						queue.put(lowerCAmelCase__	)
						__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]}))


"""simple docstring"""







from ..utils import DummyObject, requires_backends






class      _SCREAMING_SNAKE_CASE							(			metaclass=UpperCAmelCase				):



   '''simple docstring'''



   __UpperCAmelCase	:							Union[str, Any]    =    ["torch", "librosa"]







   def __init__(	self ,				*_SCREAMING_SNAKE_CASE ,				**_SCREAMING_SNAKE_CASE	):


      '''simple docstring'''

      requires_backends(self ,				['torch', 'librosa']	)







   @classmethod
   def    _A				(	cls ,				*_SCREAMING_SNAKE_CASE ,				**_SCREAMING_SNAKE_CASE	):


      '''simple docstring'''

      requires_backends(cls ,				['torch', 'librosa']	)







   @classmethod
   def    _A				(	cls ,				*_SCREAMING_SNAKE_CASE ,				**_SCREAMING_SNAKE_CASE	):


      '''simple docstring'''

      requires_backends(cls ,				['torch', 'librosa']	)






class      _SCREAMING_SNAKE_CASE							(			metaclass=UpperCAmelCase				):



   '''simple docstring'''



   __UpperCAmelCase	:							Dict    =    ["torch", "librosa"]







   def __init__(	self ,				*_SCREAMING_SNAKE_CASE ,				**_SCREAMING_SNAKE_CASE	):


      '''simple docstring'''

      requires_backends(self ,				['torch', 'librosa']	)







   @classmethod
   def    _A				(	cls ,				*_SCREAMING_SNAKE_CASE ,				**_SCREAMING_SNAKE_CASE	):


      '''simple docstring'''

      requires_backends(cls ,				['torch', 'librosa']	)







   @classmethod
   def    _A				(	cls ,				*_SCREAMING_SNAKE_CASE ,				**_SCREAMING_SNAKE_CASE	):


      '''simple docstring'''

      requires_backends(cls ,				['torch', 'librosa']	)






