#include <bits/stdc++.h>

using namespace std;
void fast_io() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
}

int main() {
    fast_io();
    int n;
    long long w;
    cin >> n >> w;
    vector<long long> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    int ans = 0;
    for (int st = 0; st < (1 << n); st++) {
        long long tmp = 0;
        for (int i = 0; i < n; i++) {
            if (st & (1 << i)) {
                tmp += a[i];
            }
        }
        for (int sub = st;; sub = (sub - 1) & st) {
            long long dis = 0;
            for (int i = 0; i < n; i++) {
                if (sub & (1 << i)) {
                    dis += a[i] / 2;
                }
            }
            if (tmp - dis == w) {
                ans++;
                break;
            }
            if (sub == 0) break;
        }
    }
    cout << ans << endl;
}