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Consider an undirected graph $G$ where self-loops are not allowed. The vertex set of $G$ is ${(i, j) | 1 \leq i \leq 12, 1 \leq j \leq 12}$. There is an edge between $(a, b)$ and $(c, d)$ if $|a – c| \leq 1$ or $| b – d | \leq 1$. The number of edges in this graph is

  1. $726$
  2. $796$
  3. $506$
  4. $616$

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