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>
#define ll long long
using namespace std;
const int mxN = 40 + 5;
int n;
ll m;
ll a[mxN];
vector<ll> comb_l , comb_r;
void make_combination(){
int mid = n/2;
// comb_l [1 , mid]
int lim = 1<<mid;
for(int mask=0;mask<lim;mask++){
ll sum = 0;
for(int i=0;i<mid;i++){
if((1<<i) & mask) sum += a[i];
if(sum > m) break;
}
if(sum <= m) comb_l.push_back(sum);
}
sort(comb_l.begin() , comb_l.end());
// comb_r
lim = 1<<(n-mid);
for(int mask=0;mask<lim;mask++){
ll sum = 0;
for(int i=mid;i<n;i++){
if((1<<i) & mask) sum += a[i];
if(sum>m) break;
}
if(sum <= m) comb_r.push_back(sum);
}
sort(comb_r.begin() , comb_r.end());
}
int main(){
ios::sync_with_stdio(0),cin.tie(0);
cin>> n >> m;
for(int i=0;i<n;i++) cin>> a[i];
make_combination();
ll ans = 0;
for(ll val : comb_r){
int cnt = upper_bound(comb_l.begin() , comb_l.end() , m - val) - comb_l.begin() - 1;
ans += cnt;
}
cout<< ans;
return 0;
}
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