Strange Bitwise Operation

You are given an array $A$ of size $N$. Using the array $A$, we define the variables $S_1$ and $S_2$: - Select an index $i$ $(1\le i \lt N)$; - Define $S_1 = (A_1 \oplus A_2 \oplus \ldots \oplus A_i)$ $|$ $(A_{(i+1)} \oplus \ldots \oplus A_N)$, where $\oplus$ and $|$ denote the bitwise [XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) and bitwise [OR](https://en.wikipedia.org/wiki/Bitwis