# 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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