Answer in Python only You are given an undirected graph G = (V, E) containing N nodes and M edges. The nodes are numbered from 1 to N. A subset C of V is a vertex cover if for every edge (u, v) E E, at least one of u and v belong to C. Note that C = V is always a vertex cover. Consider a partition of V into two sets A and B. It is said to be a valid partition, if the following two conditions are satisfied: A should be a vertex cover. And for each i such that 1 ≤ i ≤n/2, nodes 2*i and 2*i- 1 don't belong to the same set (i.e. one belongs to set A and the other to set B). Determine if a valid partition exists. If it exists, provide an example of one valid partition. Input 1 32 12 23 Output

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