#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; map solve(vector a, const ll &s) { int n = a.size(); // dp[i][j]: 0,a0~a_iからjを作る方法は何通りか vector> dp(n + 1); dp[0][0] = 1; for (int i = 0; i < n; ++i) { auto x = a[i]; while (a[i] <= s) { for (const auto &[k, v]: dp[i]) { if (k + a[i] <= s) dp[i + 1][k + a[i]] += v; } a[i] *= x; } } return dp[n]; // 中身はmapで(和, その場合の数)のペア } int main() { int n; ll s; cin >> n >> s; vector a, b; for (int i = 0; i < n; ++i) { int t; cin >> t; if (i < n / 2) { a.emplace_back(t); } else { b.emplace_back(t); } } auto c = solve(a, s); auto d = solve(b, s); // dの第2成分の累積和を計算 for (auto i = d.begin(); i != d.end() and next(i) != d.end(); ++i) { next(i)->second += i->second; } ll ans = 0; for (const auto &[k, v]: c) { auto it = d.upper_bound(s - k); if (it == d.begin()) continue; else ans += prev(it)->second * v; } cout << ans << endl; return 0; }