This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define int int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
map<int, int> M;
map<int, int> M2;
int tab[49];
int32_t main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	int n, Sum;
	cin >> n >> Sum;
	for(int i=0;i<n;i++) {
		cin >> tab[i];
	}
	int m = n/2;
	if(n==1) {
		if(tab[0]<=Sum) {
			cout << "2\n";
		} else {
			cout << "1\n";
		}
		return 0;
	}
	int m2 = n-m;
	for(int i=0;i<(1<<m);i++) {
		int s = 0;
		for(int j=0;j<m;j++) {
			if(i&(1<<j)) {
				s+=tab[j];
			}
		}
		M[-s]++;
	}
	for(int i=0;i<(1<<m2);i++) {
		int s = 0;
		for(int j=m;j<n;j++) {
			if(i&(1<<(j-m))) {
				s+=tab[j];
			}
		}
		M2[s]++;
	}
	int s = 0;
	auto it = M2.begin();
	int ans = 0;
	auto ite = M2.end();
	for(pii x:M) {
		x.st = -x.st;
		int val = Sum-x.st;
		while(it!=ite&&(*it).st<=val) {
			s += (*it).nd;
			it++;
		}
		ans += x.nd*s;
	}
	cout << ans << "\n";
}
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