#include using namespace std; struct iofast_t { iofast_t() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); } } iofast; struct uns_t {} uns; template auto vec(Element init, Head arg, Args ...args) { if constexpr (sizeof...(Args) == 0) return std::vector(arg, init); else return std::vector(arg, vec(init, args...)); } template auto vec(uns_t, Head arg, Args ...args) { return vec(Element(), arg, args...); } template > T &chmin(T &l, T r, Compare &&f = less()) { return l = min(l, r, f); } template > T &chmax(T &l, T r, Compare &&f = less()) { return l = max(l, r, f); } int main() { cout << fixed << setprecision(15); int n, m; cin >> n >> m; auto b = vec(uns, m); for (auto &e : b) cin >> e; double ans = n - 1; for (int i = 1; i <= m; ++i) { double sub = b.front() - 1 + (m / double(i)); int64_t sum = 0; for (int j = m; m - i < j; --j) { sum += n - b[j - 1]; } sub += (1.0 / i) * sum; ans = fmin(ans, sub); } cout << ans << endl; }