Consider two sets $\mathrm{A}=\{x \in \mathbb{Z}:(|x-3|-3) \mid \leq 1\}$ and $\mathrm{B}=\left\{x \in \mathbb{R}-\{1,2\}: \frac{(x-2)(x-4)}{x-1} \log _e(|x-2|)=0\right\}$. Then the number of onto functions $f: \mathrm{A} \rightarrow \mathrm{B}$ is equal to
