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 all(x) begin(x), end(x)
#define sz(x) ((int)size(x))
#define trace(x) cout << #x << ": " << (x) << endl;
typedef long long ll;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    ll m;
    cin >> n >> m;
    int L = n / 2, R = n - L;
    vector<ll> x(1 << R), a(n);
    for (int i = 0; i < n; ++i) cin >> a[i];
    for (int mask = 0; mask < (1 << R); ++mask) {
        for (int i = 0; i < R; ++i) {
            if ((mask >> i) & 1) {
                x[mask] += a[i + L];
            }
        }
    }
    sort(all(x));
    ll ans = 0;
    for (int mask = 0; mask < (1 << L); ++mask) {
        ll sum = 0;
        for (int i = 0; i < L; ++i) {
            if ((mask >> i) & 1)
                sum += a[i];
        }
        ans += upper_bound(all(x), m - sum) - begin(x);
    }
    cout << ans;
    return 0;
}
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