#include <bits/stdc++.h>
#define rep(i, l, r) for (int i = (l); i < (r); i++)
using namespace std;

typedef long long ll;

int main() {
    ll N, W;
    cin >> N >> W;
    vector<ll> a(N);
    rep(i, 0, N) cin >> a[i];
    int x = 1;
    rep(i, 0, N) x *= 3;
    vector<bool> ok(1 << N, false);
    rep(i, 0, x) {
        ll s = 0, y = i, b = 0;
        rep(j, 0, N) {
            int r = y % 3;
            y /= 3;
            b *= 2;
            if (r == 1) s += a[j] / 2;
            if (r == 2) s += a[j];
            if (r > 0) b++;
        }
        //cout << i << " " << s << endl;
        if (s == W) {
            ok[b] = true;
        }
    }
    int ans = 0;
    rep(i, 0, 1 << N) ans += ok[i];
    cout << ans << endl;
}