#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll = long long;
using ld = long double;
using mint = modint998244353;

int main() {
  ll N, W; cin >> N >> W;
  vector<ll> a(N);
  for (auto &x: a) cin >> x;
  if (W == 0) {
    int c = 0;
    for (int i = 0; i < N; i++) if (a[i] == 0) c++;
    cout << (1 << c) - 1 << endl;
    return 0;
  }
  set<int> st;
  for (int i = 0; i < (1 << N); i++) {
    for (int j = 0; j < (1 << N); j++) {
      ll sum = 0;
      for (int k = 0; k < N; k++) {
        if (i >> k & 1) {
          if (j >> k & 1) {
            sum += a[k] / 2;
          } else {
            sum += a[k];
          }
        }
      }
      if (sum == W) {
        st.insert(i);
      }
    }
  }
  cout << st.size() << endl;
  return 0;
}