#include<bits/stdc++.h>
using namespace std;
typedef long double ld;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const int LIM=1e5+7;
int T[LIM];
void solve() {
int n, k;
cin >> n >> k;
rep(i, n) cin >> T[i];
while(k) {
int x=0;
rep(i, n) x^=T[i]%2;
if(x) {
cout << 1;
return;
}
k/=2;
rep(i, n) T[i]/=2;
}
cout << 0;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int _=1;
cin >> _;
while(_--) solve();
cout << '\n';
}
