#include <bits/stdc++.h>
using namespace std;
#define int long long
vector<int> get(vector<int> a) {
int n = a.size();
vector<int> ret;
for (int s = 0; s < (1 << n); s++) {
int sum = 0;
for (int i = 0; i < n; i++) {
if (s & (1 << i)) {
sum += a[i];
}
}
ret.push_back(sum);
}
sort(ret.begin(), ret.end());
return ret;
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
vector<int> a, b;
for (int i = 0; i < n; i++) {
int x;
cin >> x;
if (i < n / 2) {
a.push_back(x);
} else {
b.push_back(x);
}
}
vector<int> k = get(a), t = get(b);
int ans = 0;
for (auto x : t) {
ans += upper_bound(k.begin(), k.end(), m - x) - k.begin();
}
cout << ans << '\n';
return 0;
}
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