#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0; i<(n); i++)
#define INF ((1LL<<62)-(1LL<<31))
#define all(a)  (a).begin(),(a).end()
#define rall(a)  (a).rbegin(),(a).rend()
typedef long long ll;
typedef pair<ll,ll> pl;

int main() {
    ll n,w;
    cin >> n >> w;
    vector<ll> a(n);
    rep(i,n) cin >> a[i];
    ll cnt=0;
    for(int bit=0;bit<(1<<n);bit++) {
        bool flag=false;
        vector<ll> v;
        ll sum=0;
        rep(i,n) {
            if(1<<i&bit) {
                v.push_back(a[i]);
                sum+=a[i];
            }
        }
        int x=v.size();
        for(int bit2=0;bit2<(1<<x);bit2++) {
            ll tot=sum;
            rep(i,x) if(1<<i&bit2) tot-=v[i]/2;
            if(tot==w) {
                flag=true;
                cnt++;
                break;
            }
        }
    }
    cout << cnt << endl;
    return 0;
}