#include <bits/stdc++.h>
#include <atcoder/all>

typedef unsigned long long ULLONG;
typedef long long LLONG;
static const LLONG MOD_NUM = 998244353LL;//1000000007LL;
static const LLONG INF_NUM = MOD_NUM * 20LL;
template<class _T> static void get(_T& a) {
	std::cin >> a;
}
template<class _T> static void get(_T& a, _T& b) {
	std::cin >> a >> b;
}
template<class _T> static void get(_T& a, _T& b, _T& c) {
	std::cin >> a >> b >> c;
}
template <class _T> static _T tp_abs(_T a) {
	if (a < (_T)0) {
		a *= (_T)-1;
	}
	return a;
}

static void task();

int main()
{
	task();
	fflush(stdout);
	return 0;
}

static void task()
{
	int N;
	LLONG W;
	get(N);
	get(W);

	std::vector<LLONG> ai(N);
	for (int i = 0; i < N; i++) {
		get(ai[i]);
	}

	LLONG ans = 0;
	for (int select = 1; select < (1 << N); select++) {
		std::vector<LLONG> vi;
		for (int bit = 0; bit < N; bit++) {
			if (select & (1 << bit)) {
				vi.push_back(ai[bit]);
			}
		}

		int cnt = vi.size();
		for (int i = 0; i <= cnt; i++) {
			LLONG ttl = 0;
			bool pass = false;
			for (int j = 0; j < cnt; j++) {
				if (j == i) {
					if (vi[j] == 0) pass = true;
					ttl += vi[j] / 2LL;
				}
				else {
					ttl += vi[j];
				}
			}
			if (ttl == W && !pass) ans++;
		}
	}
	printf("%lld\n", ans);
}