3. The natural number $n$ satisfies
$$
\left(n^{2}-2 n-2\right)^{n^{2}+47}=\left(n^{2}-2 n-2\right)^{16 n-16} \text {. }
$$

The number of such $n$ is ().
(A) 2
(E)1
(C) 3
(D) 4
3.C

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