New Concept

Algebra Level 3

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

Definition of n!n^{!}.

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

n!=nn1n2n3....321n^{!} = n^{n-1^{n-2^{n-3^{....^{3^{2^{1}}}}}}}

Find nn. If (n1)!=1(n-1)^{!} = 1

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