This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
#define int long long
#define all(v) v.begin() , v.end()
#define sz(a) (int)a.size()
using namespace std;
void _(){
  int n,k;
  cin >> n >> k;
  vector<int> v(n);
  for(int i=0;i<n;i++) cin >> v[i];
  if(n==1){
    for(int j=0;j<32;j++){
      if(v[0]>>j&1){
      	if((1LL<<j)<=k) cout << 1;
      	else cout << 0;
      	break;
      }
    }
  }
  else if(k==1){
    if(accumulate(all(v),0LL)&1) cout << 1;
    else cout << 0;
  }
}
int32_t main(){
  cin.tie(0); ios::sync_with_stdio(0);
  int tc=1;cin >> tc;
  while(tc--) _();
  return 0;
}
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