#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using ll=long long;
using Graph=vector<vector<int>>;
#define INF 1000000000
#define MOD 998244353
#define MAX 200000


int main(){
  int N;
  ll W;
  cin>>N>>W;
  vector<ll> a(N);
  for(int i=0;i<N;i++){
    cin>>a[i];
  }
  vector<ll> full_price(1<<N,0);
  vector<ll> half_price(1<<N,0);
  for(int bit=1;bit<(1<<N);bit++){
    ll sum=0;
    for(int i=0;i<N;i++){
      if(((bit>>i)&1)==1){
        sum+=a[i];
      }
    }
    full_price[bit]=sum;
    half_price[bit]=sum/2;
  }
  int ans=0;
  //cout<<W<<endl;
  for(int bit=1;bit<(1<<N);bit++){
    bool flag=false;
    for(int s=bit;;s=((s-1)&bit)){
      if(half_price[s]+full_price[s^bit]==W){
        flag=true;
      }
      if(s==0){
        break;
      }
    }
    if(flag){
      ans++;
    }
  }
  cout<<ans<<'\n';
}