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#13987. 盐

통계

给定一个长度为 $n$ 的数组 $a$,求最小的非负整数 $s$,使得对于某个 $L \ge 0$,对所有 $0 \le i \le n - 1$ 均满足 $a_i = (L+i) \text{ XOR } s$。输入数据保证至少存在一个这样的 $s$。

输入格式

输入包含 2 行。

第一行包含一个整数 $n$($1 \le n \le 10^6$)。

第二行包含 $n$ 个空格分隔的整数 $a_0, a_1, \dots, a_{n-1}$($0 \le a_i \le 10^{18}$)。

输出格式

输出一行,包含整数 $s$。

样例

样例输入 1

3
6 7 0

样例输出 1

4

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