#include <bits/stdc++.h>
using namespace std;

int main()
{
	int N, W;
	cin >> N >> W;
	vector<int> a( N );
	for( int i = 0; i < N; i++ ) cin >> a[i];

	int l = 1 << N;
	int ans = 0;
	for( int mask = 1; mask < l; mask++ ) {
		vector<int> b;
		long long s = 0;
		for( int i = 0; i < N; i++ ) {
			if( mask >> i & 1) {
				b.push_back( a[i] );
				s += a[i];
			}
		}
		if( s == W ) ans++;
		else {
			int n = b.size();
			int l1 = 1 << n;
			for( int m1 = 1; m1 < l1; m1++ ) {
				long long ss = 0;
				for( int i = 0; i < n; i++ ) {
					if( m1 >> i & 1 ) ss += b[i] / 2;
					else ss += b[i];
				}
				if( ss == W ) {
					ans++;
					break;
				}
			}
		}
	}

	cout << ans << endl;
}