Let matrix $A=\left[\begin{array}{ccc}x& y& -z\\ 1& 2& 3\\ 1& 1& 2\end{array}\right]$, where $x$, $y$ and $z\in N$. If $\left|\text{adj}\right(\text{adj}\left(\text{adj}\right(\text{adj}A\left)\right)\left)\right|=4^8·5^{16}$, then the number of such $(x$, $y$ and $z)$ is