#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define N 600005
#define pb push_back
#define ff first
#define ss second
#define all(x) x.begin(),x.end()
#define sz(s) (int)s.size()
#define pii pair<int,int>
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ll T, n, a[N], t, k;
string s, g;
int main () {
ios::sync_with_stdio(0);cin.tie(0);
cin >> T;
while(T--) {
cin >> n >> k;
int sum = 0;
for(int i=1;i<=n;i++) {
cin >> a[i];
sum += a[i];
}
if(sum % 2 != 0 || k >= sum) cout << "1";
else cout << '0';
}
}
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