#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l)==r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
const int MAX_N = 300010;
bool solve() {
int n, k;
cin >> n >> k;
int sum = 0;
for (int v, i = 0;i < n;++i) {
cin >> v;
sum ^= v;
}
if (sum == 0) return false;
return k >= (sum & -sum);
}
int32_t main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int T;
cin >> T;
while (T--) {
cout << solve() ;
}
cout << '\n';
}
