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

int main(){
    int n, w; cin >> n >> w;
    vector<int> a(n);
    for(auto &it: a) cin >> it;

    set<int> mem;
    int lim = 1;
    for(int i = 0; i < n; i++) lim *= 3;
    for(int bit = 1; bit < lim; bit++){
        ll tot = 0;
        int bit1 = bit;
        int mask = 0;
        for(int i = 0; i < n; i++, bit1 /= 3){
            if(bit1%3 == 0) continue;
            mask |= 1 << i;
            if(bit1%3 == 1) tot += a[i];
            else tot += a[i]/2;
        }
        if(tot == w) mem.emplace(mask);
    }
    cout << mem.size() << endl;
    return 0;
}