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;
typedef long long ll;
#define endl '\n'
void solve(){
    ll n,m;
    cin>>n>>m;
    vector<ll> v(n);
    for(auto &i:v) cin>>i;
    map<ll,int> frq;
    for(int mask=0;mask<(1<<n/2);mask++){
        ll sum = 0;
        for(int i=0;i<(n>>1);i++){
            if((1<<i)&mask){
                sum += v[i];
            }
        }
        frq[sum] ++;
    }
    int prev = 0;
    vector<ll> tmp;
    for(auto &i : frq){
        i.second += prev;
        tmp.push_back(i.first);
        prev = i.second;
    }
    int rem = n-(n>>1);
    ll ans = 0;
    for(int mask=0;mask<(1<<rem);mask++){
        ll sum = 0;
        for(int i=0;i<rem;i++){
            if((1<<i)&mask){
                sum += v[(n>>1)+i];
            }
        }
        if(sum > m) continue;
        int upper = upper_bound(tmp.begin(),tmp.end(),m-sum) - tmp.begin();
        upper --;
        ans += frq[tmp[upper]];
    }
    cout<<ans<<endl;
}
int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);      cout.tie(0);
    solve();
    return 0;
}
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