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;
#define int long long
#define mod 1000000007
const int maxn = 45;
int a[maxn];
int n, m;
int ans = 0;
vector<int>v;
void s1(int i, int sum){
  if(i == (n / 2) + 1){
    v.push_back(sum);
    return;
  }
  s1(i + 1, sum);
  s1(i + 1, sum + a[i]);
}
void s2(int i, int sum){
  if(i == n){
    auto it = upper_bound(v.begin(), v.end(), m - sum) - v.begin();
    ans += n - it;
    return;
  }
  s2(i + 1, sum);
  s2(i + 1, sum + a[i]);
}
signed main(){
  cin.tie(0) -> sync_with_stdio(0);
  cin >> n >> m;
  for(int i = 0; i < n; i++) cin >> a[i];
  s1(0, 0);
  s2((n / 2) + 1, 0);
  cout << ans;
}
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