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()
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;
	vector<int> v1;
	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];
			}
		}
		v1.pb(s);
	}
	vector<int> v2;
	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];
			}
		}
		v2.pb(s);
	}
	sort(all(v1));
	sort(all(v2));
	vector<pii> pre(sz(v2));
	for(int i=0;i<sz(v2);i++) {
		pre[i] = {v2[i], i+1};
	}
	int ans = 0;
	for(int i=0;i<sz(v1);i++) {
		if(v1[i]>Sum) break;
		int s = -1;
		int e = sz(v2);
		while(e-s>1) {
			int m = (e+s)/2;
			if(pre[m].st<=Sum-v1[i]) s = m;
			else e = m;
		}
		ans += pre[s].nd;
	}
	cout << ans << "\n";
}
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