Halloween Array

There is an array of $N$ integers, and a range $[L, R]$. Let $f(A) = \prod_{1 \le i < j \le N} (A_i \oplus A_j)$. Informally, $f(A)$ is the product of all pairwise XOR's of the array $A$. If the resulting value lies between $L$ and $R$ (both inclusive), we call such an array a **Halloween array**. Given an array, determine whether it is a **Halloween array** or not. Print $\text{YES}$ or $\text