#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7;
signed main()
{
IO_OP;
int t;
cin >> t;
while(t--) {
int n, k, sg = 0;
cin >> n >> k;
if(k == 1) {
for(int i = 0; i < n; i++) {
int x;
cin >> x;
x %= (k + 1);
sg ^= x;
}
if(sg > 0) cout << 1;
else cout << 0;
} else if(n == 1) {
int x;
cin >> x;
bool dp[102][102][102] = {};
for(int i = 1; i <= x; i++) {
for(int a = 1; a <= k; a++) {
for(int b = 1; b <= k; b++) {
for(int take = 1; take <= a && take <= x; take++)
if(dp[x - take][b][take] == 0) {
dp[i][a][b] = 1;
break;
}
}
}
}
cout << dp[x][k][k];
}
}
cout << endl;
}
