This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vl vector<ll>
#define vii vector<pii>
#define db long double
#define vll vector<pll>
#define endl '\n'
#define all(x) x.begin(), x.end()
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define int long long
int a[45], n, m;
void fmain(){
    cin >> n >> m;
    for(int i = 1; i <= n; i++){
        cin >> a[i];
    }
    vi v1, v2;
    for(int mask = 0; mask < (1 << (n / 2)); mask++){
        int s = 0;
        for(int i = 0; i < n; i++){
            if((1 << i) & mask){
                s += a[i + 1];
            }
        }
        v1.push_back(s);
    }
    for(int mask = 0; mask < (1 << (n - n / 2)); mask++){
        int s = 0;
        for(int i = 0; i < n; i++){
            if((1 << i) & mask){
                s += a[i + 1];
            }
        }
        v2.push_back(s);
    }
    sort(all(v2));
    int res = 0;
    for(int i : v1){
        auto ind = upper_bound(all(v2), m - i);
        if(ind != v2.begin())   res += ind - v2.begin();
    }
    cout << res;
}
signed main(){
    int tmr = 1;
    //cin >> tmr;
    while(tmr--){
        fmain();
    }
}
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