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'
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
void solve(){
ll n,m;
cin>>n>>m;
vector<ll> v(n);
for(auto &i:v) cin>>i;
unordered_map<ll,int,custom_hash> 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){
tmp.push_back(i.first);
}
sort(tmp.begin(),tmp.end());
for(auto i : tmp){
frq[i] += prev;
prev = frq[i];
}
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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