#include <bits/stdc++.h>
using namespace std;
template<typename T1, typename T2>ostream& operator<<(ostream &os, const pair<T1, T2> &p) {return os << '{' << p.first << ", " << p.second << '}';}
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; }
template <typename K, typename V> ostream& operator<<(ostream& os, const map<K, V>& m) {os << "{";for (auto it = m.begin(); it != m.end(); ++it) {if (it != m.begin()) os << ", "; os << it->first << " : " << it->second;}return os << "}";}
void debug() { cerr << endl; }
template<typename Head, typename... Tail>
void debug(Head H, Tail... T) { cerr << H; debug(T...); }
#ifdef VOID_DEBUG
#define deb(...) cerr << '[' << __FILE__ << ':' << __LINE__ << "] (" << #__VA_ARGS__ << "):", debug(__VA_ARGS__)
#else
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define deb(...)
#endif
const int mxN = 5e3 + 5;
const int mod = 1e9 + 7;
const int dx4[] = {1, -1, 0, 0}, dy4[] = {0, 0, -1, 1};
const int dx8[] = {1, -1, 0, 0, 1, -1, 1, -1}, dy8[] = {0, 0, -1, 1, 1, -1, -1, 1};
void run_case() {
int n;
int64_t m;
cin >> n >> m;
vector<int64_t> v;
for (int64_t i = 0, x; i < n; i++) {
cin >> x;
if (x <= m) v.push_back(x);
}
sort(v.begin(), v.end());
n = v.size();
map<int64_t, int> mp1, mp2;
vector<int> v1, v2;
for (int i = 0; i < (n >> 1); i++) v1.push_back(v[i]);
for (int i = (n >> 1) + (n % 2); i < n; i++) v2.push_back(v[i]);
for (int mask = 1; mask < (1 << v1.size()); mask++) {
int64_t sum = 0;
for (int i = 0; i < v1.size(); i++) {
if (mask & (1 << i)) {
sum += v1[i];
}
}
if (sum <= m) mp1[sum]++;
}
for (int mask = 1; mask < (1 << v2.size()); mask++) {
int64_t sum = 0;
for (int i = 0; i < v2.size(); i++) {
if (mask & (1 << i)) {
sum += v2[i];
}
}
if (sum <= m) mp2[sum]++;
}
map<int64_t, int> mp;
for (auto &i : mp1) mp[i.first] += i.second;
for (auto &i : mp2) mp[i.first] += i.second;
for (auto &i : mp1) {
for (auto &j : mp2) {
if (i.first + j.first <= m) mp[i.first + j.first]++;
}
}
int64_t ans = 1;
for (auto &i : mp) ans += i.second;
cout << ans;
return;
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int test_case = 1;
// cin >> test_case;
for (int num_case = 1; num_case <= test_case; num_case++) {
run_case();
}
return 0;
}
