#ifdef _DEBUG
#define xD cerr
#define xO <<
#define xx(x1) x1
#define xP endl
#else
#define xD
#define xO
#define xx(x1)
#define xP
#endif
#include "bits/stdc++.h"
using namespace std;
#include "atcoder/all"
using namespace atcoder;
using i64 = long long;
using uni64 = unsigned long long;
using i_i = pair<int, int>;
using i_b = pair<int, bool>;
using l_l = pair<i64, i64>;
using d_d = pair<double, double>;
constexpr int INF = 2147483647;
constexpr i64 I64F = 9223372036854775807;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }

int main() {
	int n, w; cin >> n >> w;
	vector<int> a(n);
	for (int i = 0; i < n; i++) {
		cin >> a[i];
	}
	set<int> cnt;
	for (int bit = 1; bit < (1<<n); bit++) {
		vector<int> b;
		for (int i = 0; i < n; i++) {
			if (bit & (1<<i)) {
				b.push_back(a[i]);
			}
		}
		int l = b.size();
		for (int bit2 = 0; bit2 < (1<<l); bit2++) {
			i64 sum = 0;
			for (int i = 0; i < l; i++) {
				if (bit2 & (1<<i)) {
					sum += b[i] / 2;
				}
				else {
					sum += b[i];
				}
			}
			if (sum == w) cnt.insert(bit);
		}
	}
	cout << cnt.size() << endl;
	return 0;
}