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Let defined the concept of $n^{!}$.

Definition of $n^{!}$.

Let $n \in \mathbb{W}$, we defined $n^{!}$ using the formula

$n^{!} = n^{n-1^{n-2^{n-3^{....^{3^{2^{1}}}}}}}$

Find $n$. If $(n-1)^{!} = 1$

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