#include <bits/stdc++.h>
#include <ext/rope>
using namespace std;
using namespace __gnu_cxx;
#pragma GCC optimize("-Ofast")
#pragma GCC optimize("-O1")
//-------------------------------------------------------------//
typedef long long ll;
typedef unsigned long long ull;
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define PI acos(-1)
#define lb lower_bound
#define ub upper_bound
#define endl '\n'
#define all(v) v.begin(),v.end()
#define allr(v) v.rbegin(),v.rend()
#define sum_to(n) (n*(n+1))/2
#define pb push_back
#define pf push_front
#define sz size()
#define fil(arr,x) memset(arr,x,sizeof(arr))
const ll mod=1e9+7;
int dx[8]={0,1,0,-1,1,1,-1,-1};
int dy[8]={1,0,-1,0,1,-1,-1,1};
//-------------------------------------------------------------//
ll lcm(ll a,ll b)
{
return (max(a,b)/__gcd(a,b))*min(a,b);
}
void person_bool(bool x)
{
cout<<(x?"YES":"NO")<<endl;
}
int n,k;
int dp[105][105];
int solve(int i,int lst){
int &ret=dp[i][lst];
if(~ret){
return ret;
}
ret=0;
for(int j=1;j<=lst;j++){
if(j>=i){
ret=1;break;
}
ret|=(solve(i-j,j)==0);
}
return ret;
}
int main()
{
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
fast
ll t=1;
cin>>t;
while(t--){
fil(dp,-1);
cin>>n>>k;
vector<int>arr(n);
int s=0;
for(auto &i:arr)cin>>i,s+=i;
if(k==1 || s&1){
cout<<(s&1);
continue;
}
int block=0;
int cnt=0;
for(int i=0;i<=29;i++){
cnt+=(1<<i);
if(k<=cnt){
block=i;
break;
}
}
cout<<(s%(1<<(block+1))>0);
}
return 0;
}
