#include #include #include #include #include #include #include using namespace std; using ll = long long; #define rep(i, j, n) for (int i = j; i < (n); ++i) #define rrep(i, j, n) for (int i = (n)-1; j <= i; --i) #define all(a) a.begin(), a.end() template std::ostream &operator<<(std::ostream &os, std::vector &a) { for (size_t i = 0; i < a.size(); ++i) os << (i > 0 ? " " : "") << a[i]; return os << '\n'; } template std::istream &operator>>(std::istream &is, std::vector &a) { for (T &x : a) { is >> x; } return is; } [[maybe_unused]] constexpr long long MOD = 998244353; // constexpr long long MOD = 1000000007; [[maybe_unused]] constexpr int INF = 0x3f3f3f3f; [[maybe_unused]] constexpr long long INFL = 0x3f3f3f3f3f3f3f3fLL; int main() { cin.tie(0)->sync_with_stdio(0); int n, s; cin >> n >> s; vector a(n); cin >> a; int m = (n + 1) / 2; map mp, pm; // 1 mp[0] = 1; rep(i, 0, m) { map nmp; for (auto [j, k] : mp) { ll c = a[i]; while (j + c <= s) { nmp[j + c] += k; c *= a[i]; } } mp = nmp; } // 2 pm[0] = 1; rep(i, m, n) { map nmp; for (auto [j, k] : pm) { ll c = a[i]; while (j + c <= s) { nmp[j + c] += k; c *= a[i]; } } pm = nmp; } vector A{0}, B{0}; for (auto [k, v] : pm) { A.push_back(k); B.push_back(v); } rep(i, 1, B.size()) B[i] += B[i - 1]; ll ans = 0; for (auto [k, v] : mp) { ll aaa = s - k; ans += v * B[upper_bound(A.begin(), A.end(), aaa) - A.begin() - 1]; } cout << ans; return 0; }