#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000

int main(){
	
	int n;
	cin>>n;
	
	long long w;
	cin>>w;
	
	vector<long long> a(n);
	rep(i,n)cin>>a[i];
	
	int ans = 0;
	
	rep(i,1<<n){
		if(i==0)continue;
		vector<long long> Ss(1,0);
		rep(j,n){
			if((i>>j)&1){
				int t = Ss.size();
				rep(k,t){
					Ss.push_back(Ss[k] + a[j]);
					Ss[k] += a[j]/2;
				}
			}
		}
		rep(j,Ss.size()){
			if(Ss[j]==w){
				ans++;
				break;
			}
		}
		
	}
	
	cout<<ans<<endl;
	
	return 0;
}