#include <bits/stdc++.h>
using namespace std;
//for randomization
//mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
#define int long long
#define double long double
#define big __int128_t
#define ulong unsigned long long
#define no cout<<"No"<<endl
#define yes cout<<"Yes"<<endl
#define YES cout<<"YES"<<endl
#define NO cout<<"NO"<<endl
#define pb push_back
#define endl '\n'
#define all(v) v.begin(),v.end()
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
const int mod = 998244353;
const int N = 4e5+5;
const int INF = 1e18;
void solve(){
int n,m; cin>>n>>m;
int a[n+5], ans = 0;
for(int i = 0;i<n;i++) cin>>a[i];
for(int bit = 0;bit<(1<<n);bit++){
int sum = 0;
for(int i= 0;i<n;i++){
if(bit&(1<<i)) sum+=a[i];
}
if(sum<=m) ans++;
}
cout<<ans<<endl;
}
signed main()
{
fastio;
//freopen("closing.in", "r", stdin);
//freopen("closing.out", "w", stdout);
int T =1;
//cin>>T;
while(T--){
solve();
}
}
// tahir
