#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int nx=1e5+5;
ll t, n, k, a[nx], vl, x;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>t;
while (t--)
{
cin>>n>>k;
vl=0;
for (int i=1; i<=n; i++) cin>>a[i], vl^=a[i];
if ((vl&(-vl))<=k) cout<<1;
else cout<<0;
}
}
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