New Concept

Algebra Level 3

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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