
"""simple docstring"""
_a   :      Tuple       =				[[0, 1, 1], [0, 0, 1], [1, 0, 0]]






class   _UpperCAmelCase					:
    def __init__(     self    ,     snake_case_  ):
      _snake_case  :    Optional[int]            = name
      _snake_case  :    List[str]            = []
      _snake_case  :    Any            = []
    def        lowerCamelCase__						(     self    ,     snake_case_  ):
      self.inbound.append(snake_case_  )
    def        lowerCamelCase__						(     self    ,     snake_case_  ):
      self.outbound.append(snake_case_  )


    def __repr__(     self  ):
      return F'<node={self.name} inbound={self.inbound} outbound={self.outbound}>'


def 					a__ ( a :					Tuple							,  a :					List[Any]=3							,  a :					Any=0.85		):

  """simple docstring"""







  _snake_case  :    int            = {}
  for node in nodes:
    _snake_case  :    Dict            = 1

  _snake_case  :    Optional[int]            = {}
  for node in nodes:
    _snake_case  :    Optional[int]            = len(node.outbound		)

  for i in range(a		):
    print(f'======= Iteration {i + 1} ======='		)
    for _, node in enumerate(a		):
      _snake_case  :    List[str]            = (1 - d) + d * sum(
          ranks[ib] / outbounds[ib] for ib in node.inbound		)
    print(a		)
def 					a__ ( ):

  """simple docstring"""







  _snake_case  :    int            = list(input("Enter Names of the Nodes: "		).split()		)

  _snake_case  :    Union[str, Any]            = [Node(a		) for name in names]

  for ri, row in enumerate(a		):
    for ci, col in enumerate(a		):
      if col == 1:
        nodes[ci].add_inbound(names[ri]		)
        nodes[ri].add_outbound(names[ci]		)

  print("======= Nodes ======="		)
  for node in nodes:
    print(a		)

  page_rank(a		)


if __name__ == "__main__":
    main()






# 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							( snake_case     ):





					"""simple docstring"""

					_lowerCAmelCase         =       Queue()
					_lowerCAmelCase         =       [False] * len(snake_case     )
					_lowerCAmelCase         =       [-1] * len(snake_case     )

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

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

																				if color[neighbour] == -1:
																									_lowerCAmelCase         =       1 - color[u]
																									queue.put(snake_case     )

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

										return True

					for i in range(len(snake_case     )     ):
										if not visited[i]:
															queue.put(snake_case     )
															_lowerCAmelCase         =       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]}))



