#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) { a = max(a, b); } template void chmin(T& a, const T& b) { a = min(a, b); } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; constexpr int INF = 1001001001; template vector kBFS(vector>> g, int s = 0) { const int n = g.size(); vector dist(n, INF); deque> q(k); dist[s] = 0; q[0].emplace_back(s); for (int dist_cur = 0;;) { vector& vs = q[0]; while (!vs.empty()) { int u = vs.back(); vs.pop_back(); if (dist[u] != dist_cur) continue; for (auto [v, c] : g[u]) { int nd = dist_cur + c; if (nd < dist[v]) { dist[v] = nd; q[c].emplace_back(v); } } } for(int i = 1;; i++) { dist_cur++; vector tmp = move(q.front()); q.pop_front(); q.emplace_back(move(tmp)); if (!q[0].empty()) break; if (i == k - 1) return dist; } } } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; ll l; cin >> n >> l; VI w(n); rep(i, n) cin >> w[i]; sort(all(w)); const int m = w.back(); w.pop_back(); vector>> g(m); rep(u, m) for(int d: w) { int v = u + d; if (v < m) g[u].emplace_back(v, 0); else g[u].emplace_back(v - m, 1); } auto dist = kBFS(g); ll ans = 0; rep(i, m) { ll d = (ll)dist[i] * m + i; if (d > l) continue; ans += (l - d) / m + 1; } ans--; cout << ans << '\n'; }