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;
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#ifndef LOCAL
#define cerr if(false) cerr
#endif
#define endl "\n"
#define out(x) "[" << #x << "=" << x << "]"
struct debug {
    debug() { cerr << "DEBUGGER: " << endl; }
    ~debug() { cerr << endl << "DEBUGGER_END " << endl; }
    template<class T>
    debug& operator <<(const T x) {
        cerr << x << " ";
        return *this;
    }
};
template<class T> inline ostream &operator <<(ostream &out, const vector<T> &x) {
    for(const auto &it : x) {
        out << it << " ";
    }
    return out;
}
template<class T, class T2> inline ostream &operator <<(ostream &out, const pair<T, T2> &x) {
    return out << x.first << " " << x.second;
}
template<class T, class T2> inline bool chkmax(T &x, const T2 &y) { return x < y ? x = y, 1 : 0; }
template<class T, class T2> inline bool chkmin(T &x, const T2 &y) { return x > y ? x = y, 1 : 0; }
typedef long long ll;
const ll mod = 1e9 + 7;
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~//
const ll MAX_N = 1e5 + 10;
vector<ll> st;
ll n;
ll m;
ll arr[MAX_N];
void solveLeft(ll l, ll r) {
    for(ll mask = 0; mask < (1 << (r - l + 1)); mask ++) {
        ll sum = 0;
        for(ll j = l; j <= r; j ++) {
            if(mask & (1 << (j - l))) {
                sum += arr[j];
            }
        }
        st.push_back(sum);
    }
    sort(st.begin(), st.end());
    for(auto it : st) {
        cerr << it << " ";
    }
    cerr << endl;
}
ll ret = 0;
void solveRght(ll l, ll r) {
    for(ll mask = 0; mask < (1 << (r - l + 1)); mask ++) {
        ll sum = 0;
        for(ll j = l; j <= r; j ++) {
            if(mask & (1 << (j - l))) {
                sum += arr[j];
            }
        }
        cerr << "Adding " << sum << " " << (lower_bound(st.begin(), st.end(), m - sum + 1) - st.begin()) << endl;
        ret += (lower_bound(st.begin(), st.end(), m - sum + 1) - st.begin());
    }
}
signed main() {
#ifndef LOCAL
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#endif
    cin >> n >> m;
    for(int i = 0; i < n; i ++) {
        cin >> arr[i];
    }
    solveLeft(0, n / 2);
    solveRght(n / 2 + 1, n - 1);
    cout << ret << endl;
    return 0;
}
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