#include <algorithm>
#include <functional>
#include <iostream>
#include <fstream>
#include <list>
#include <map>
using namespace std;
#define int long long
signed main () {
ios::sync_with_stdio (false);
cin.tie (0);
cout.tie (0);
int N = 0, M = 0;
cin >> N >> M;
vector <int> v (N + 1);
for (int i = 1; i <= N; i++)
cin >> v[i];
map <int, int> m;
for (int bit = 0; bit < (1 << (N / 2)); bit++) {
int sum = 0;
for (int i = 0; i < 20; i++)
if (bit & (1 << i))
sum += v[i + 1];
m[sum]++;
}
vector <pair <int, int> > m1 = {{-1e18, 0}};
m1.reserve (m.size() + 10);
for (const pair <int, int>& e : m)
m1.push_back (e);
for (int i = 2; i < m1.size(); i++)
m1[i].second += m1[i - 1].second;
int ans = 0;
for (int bit = 0; bit < (1 << (N - N / 2)); bit++) {
int sum = 0;
for (int i = 0; i < 20; i++)
if (bit & (1 << i))
sum += v[i + N / 2 + 1];
auto it = lower_bound (m1.begin(), m1.end(), (pair <int, int>){(M - sum) + 1, 0});
ans += (*--it).second;
}
cout << ans << '\n';
}
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