#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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