



# 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.



def 		lowerCAmelCase__    (					UpperCamelCase_				:       List[str]	)->  int:
    A__		 =					[False] * len(UpperCamelCase_	)
    A__		 =					[-1] * len(UpperCamelCase_	)

    def dfs(UpperCamelCase_				:       str ,       UpperCamelCase_				:       Optional[int]	):
        A__		 =					True
        A__		 =					c
        for u in graph[v]:
            if not visited[u]:
                dfs(UpperCamelCase_ ,       1 - c	)

    for i in range(len(UpperCamelCase_	)	):
        if not visited[i]:
            dfs(UpperCamelCase_ ,       0	)

    for i in range(len(UpperCamelCase_	)	):
        for j in graph[i]:
            if color[i] == color[j]:
                return False

    return True


# Adjacency list of graph
_lowercase						  =		{0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}



print(check_bipartite_dfs(graph))





import numpy as np



def 		lowerCAmelCase__    (					UpperCamelCase_				:       np.array	)->  np.array:
    return 1 / (1 + np.exp(-vector	))



def 		lowerCAmelCase__    (					UpperCamelCase_				:       np.array	)->  np.array:
    return vector * sigmoid(1.702 * vector	)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
