#include "bits/stdc++.h"

#define int long long

using namespace std;
using ll = long long;
using P = pair<ll, ll>;
const ll INF = (1LL << 61);
ll mod = 998244353;



signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	int N, W; cin >> N >> W;
	int T = 1;
	for (int i = 0; i < N; i++)T *= 3;
	vector<int>a(N); for (int i = 0; i < N; i++)cin >> a[i];
	set<int>st;
	for (int bit = 0; bit < T; bit++) {
		int sum = 0;
		int now = bit;
		int b = 0;
		for (int j = 0; j < N; j++) {
			int t = now % 3;
			now /= 3;
			int idx = N - j - 1;
			if (t == 0) {
				b |= (1 << idx);
				sum += a[idx];
			}
			else if (t == 1) {
				b |= (1 << idx);
				sum += a[idx] / 2;
			}
		}
		if (sum == W)st.insert(b);
	}
	int ans = st.size();
	if (W == 0)ans--;
	cout << ans << endl;
	return 0;
}