#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i,n)for (int i = 0; i < int(n); ++i)
#define rrep(i,n)for (int i = int(n)-1; i >= 0; --i)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
template<class T> void chmax(T& a, const T& b) {a = max(a, b);}
template<class T> void chmin(T& a, const T& b) {a = min(a, b);}
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n, w;
    cin >> n >> w;
    VI a(n);
    rep(i, n) cin >> a[i];
    int ans = 0;
    rep(s, 1 << n) if (s) {
        VI b;
        rep(i, n) if (s >> i & 1) b.push_back(a[i]);
        int sz = b.size();
        rep(t, 1 << sz) {
            ll x = 0;
            rep(i, sz) x += t >> i & 1 ? b[i] : b[i] / 2;
            if (x == w) {
                ans++;
                break;
            }
        }
    }
    cout << ans << endl;
}