#include <bits/stdc++.h>
using namespace std;
#define print(l) for(auto i:l) cout<<i<<" ";cout<<endl;
#define input(t,l,n) vector<t>l(n);for(int i = 0;i<n;i++)cin>>l[i];
#define int long long
#define pb push_back
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define all(l) l.begin(),l.end()
#define pii pair<int,int>
#define fi first
#define se second
const int M = 1e9+7;
const int inf = 1e18;
int bp(int x, int y, int p){
int res = 1;
x = x % p;
while (y > 0) {
if (y & 1)
res = (res * x) % p;
y = y >> 1;
x = (x * x) % p;
}
return res;
}
int MI(int n, int p){
return bp(n, p - 2, p);
}
int mul(int x,int y, int p){
return x * 1ull * y % p;
}
int di(int x,int y, int p){
return mul(x, MI(y, p), p);
}
int n , m , k , q;
void solve(int testcase_number){
cin>>n>>k;
input(int,l,n);
int sm = 0;
for(int i:l)sm+=i;
if(sm%2){
cout<<1;
return;
}
if(k == 1){
cout<<0;
}
else{
for(int j = 1;j<=30;j++){
if((1ll<<j) > k){
break;
}
int op = 0;
for(int i:l){
op+=(i-i%(1<<j))/(1<<j);
}
// cout<<op%2;
if(op%2 == 1){
cout<<1;
return;
}
}
cout<<0;
return;
}
}
signed main(){
ios::sync_with_stdio(0);//DO NOT USE IN INTERACTIVE
cin.tie(0), cout.tie(0);
cout << fixed<<setprecision(9);
int t = 1;
cin>>t;
for(int i = 1;i<=t;i++){
solve(i);
}
}
