#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
#endif
using ll = long long;
using ld = long double;
const ll INF = 1ll<<60;
const ld EPS = 1.0/1e9;
#define endl "\n"
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(x) (x).begin(),(x).end()
#define del(x) sort(all(x)); x.erase(unique(all(x)),x.end());

int main(){
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  ll n,w; cin >> n >> w;
  vector<ll>a(n);
  rep(i,0,n) cin >> a[i];
  sort(all(a));
  ll x=1;
  rep(i,0,n) x*=3;
  vector<string>ans;
  for(ll i=0;i<x;i++){
    ll power3=1; ll sum=0; string m;
    rep(j,0,n){
      if((i/power3)%3!=0) m+='0';
      else m+='1';
      if((i/power3)%3==1) sum+=a[j]/2;
      if((i/power3)%3==2) sum+=a[j];
      power3*=3;
    }
    if(sum==w) ans.push_back(m);
  }
  del(ans);
  cout << ans.size() << endl;
}