#include <bits/stdc++.h>
using namespace std;
#define ALL(obj) (obj).begin(), (obj).end()
#define rALL(obj) (obj).rbegin(), (obj).rend()
using ll = long long;

string nsin(int S, int keta) {
  string ret = "";
  for (int i = 0; i < keta; i++) {
    ret += to_string(S%3);
    S /= 3;
  }
  return ret;
}

int main() {
  int N, W;
  cin >> N >> W;
  vector<ll> A(N);
  for (int i = 0; i < N; i++) cin >> A[i];
  
  int n = 1;
  for (int i = 0; i < N; i++) n *= 3;
  
  int ans = 0;
  set<string> st;
  for (int i = 1; i < n; i++) {
    string bt = nsin(i, N);
    ll sum = 0;
    string buy = "";
    for (int j = 0; j < N; j++) {
      if(bt[j] == '2') {
        sum += A[j];
        buy += j + '0';
      } else if (bt[j] == '1') {
        if(A[j] == 1) continue;
        sum += A[j]/2;
        buy += j + '0';
      }
    }
    if(sum == W && st.find(buy) == st.end()) {
      ans++;
      st.insert(buy);
    }
  }
  cout << ans << endl;
  return 0;
}