#include "bits/stdc++.h"
using namespace std;
int main(){
ios::sync_with_stdio(false); cin.tie(nullptr);
int T;
cin >> T;
while(T--){
int n, k;
cin >> n >> k;
int s = 0;
for(int i = 1; i <= n; i++){
int x;
cin >> x;
s ^= x;
}
bool tr = 0;
for(int i = 0; (1<<i) <= k; i++){
if((s>>i)&1){
tr = 1;
break;
}
}
cout << tr;
}
}
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