Prefix Max Xor

For an array $A$ of length $N$, an index $i$ ($1 \le i \le N$) is called a prefix maxima if and only if: $$ A_i \ge A_j \text{ for every } j \le i $$ We define a function $PMX$ as follows: - Let $P$ be the set of all prefix maximas of $A$. - Then, $\text{PMX}(A) = \bigoplus_{X \in P} A_X$ where $\bigoplus$ denotes the bitwise XOR operation. That is, $PMX(A)$ denotes the bitwise XOR of all th