#include <iostream>
#include <vector>
using namespace std;
typedef long long ll;


int main(void){
    ll N, W;
    cin >> N >> W;

    vector<ll> A(N);
    for(int i = 0; i < N; i++){
        cin >> A[i];
    }

    ll ans = 0;
        
    for(int p = 1; p < (1 << N); p++){
        for(int p2 = 0; p2 < (1 << N); p2++){
            ll s = 0;
            for(int i = 0; i < N; i++){
                int idx = (p >> i) & 1;
                int idx2 = (p2 >> i) & 1;
                
                if (idx & idx2){
                    s += A[i] / 2;
                }else if (idx){
                    s += A[i];
                }
            }
            if (s == W){
                ans++;
                break;
            }
        }
    }
    cout << ans << endl;
}