#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1};
constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

int main() {
  int n, w; cin >> n >> w;
  vector<int> a(n); REP(i, n) cin >> a[i];
  int ans = 0;
  FOR(bit, 1, 1 << n) {
    vector<int> b{0};
    REP(i, n) {
      if (bit >> i & 1) {
        vector<int> c;
        for (int bi : b) {
          c.emplace_back(bi + a[i] / 2);
          c.emplace_back(bi + a[i]);
        }
        sort(ALL(c));
        while (!c.empty() && c.back() > w) c.pop_back();
        b.swap(c);
      }
    }
    ans += !b.empty() && b.back() == w;
  }
  cout << ans << '\n';
  return 0;
}