#include <cstdio>
#include <cstring>
#include <iostream>
#include <string>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <complex>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <cassert>
#include <fstream>
#include <utility>
#include <functional>
#include <time.h>
#include <stack>
#include <array>
#include <list>
#include <atcoder/all>
#define popcount __builtin_popcount
using namespace std;
using namespace atcoder;
typedef long long ll;
typedef pair<int, int> P;
using mint=modint998244353;

int main()
{
    int n; cin>>n;
    ll w; cin>>w;
    ll a[14];
    for(int i=0; i<n; i++){
        cin>>a[i];
    }
    set<int> st;
    auto dfs=[&](auto dfs, int k, ll x, int s){
        if(k==n){
            if(x==w) st.insert(s);
            return;
        }
        dfs(dfs, k+1, x, s);
        dfs(dfs, k+1, x+a[k], s^(1<<k));
        dfs(dfs, k+1, x+a[k]/2, s^(1<<k));
    };
    dfs(dfs, 0, 0, 0);
    cout<<st.size()<<endl;
    return 0;
}