#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
// clang-format off
#define nl "\n"
#define ll long long
#define setbits(x) __builtin_popcountll(x)
#define zrobits(x) __builtin_ctzll(x)
#define mod 1000000007
#define inf 1e18
#define ps(x, y) fixed << setprecision(y) << x
#define testCase(x) int x; cin >> x; while (x--)
#define FIO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds;
// clang-format on
int main() {
FIO;
testCase(t) {
int n;
cin >> n;
int arr[n];
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
int ans = -1;
vector<int> b(n);
for (int i = 0; i < 256; i++) {
for (int j = 0; j < n; j++) {
b[j] = arr[j] ^ i;
}
int check = b[0];
for (int j = 1; j < n; j++) {
check ^= b[j];
}
if (check == 0) {
ans = i;
break;
}
}
cout << ans << nl;
}
return 0;
}
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