#include #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 sz(x) int(x.size()) using namespace std; using ll = long long; const int INF = 1e9; const ll LINF = 1e18; template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } template vector make_vec(size_t a) { return vector(a); } template auto make_vec(size_t a, Ts... ts) { return vector(ts...))>(a, make_vec(ts...)); } template istream &operator>>(istream &is, vector &v) { for (int i = 0; i < int(v.size()); i++) { is >> v[i]; } return is; } template ostream &operator<<(ostream &os, const vector &v) { for (int i = 0; i < int(v.size()); i++) { os << v[i]; if (i < int(v.size()) - 1) os << ' '; } return os; } template struct BinaryIndexedTree { private: int n; vector data; public: BinaryIndexedTree() = default; explicit BinaryIndexedTree(int n) : n(n) { data.assign(n + 1, 0); } explicit BinaryIndexedTree(const vector &v) : BinaryIndexedTree((int)v.size()) { build(v); } void build(const vector &v) { assert(n == (int)v.size()); for (int i = 1; i <= n; i++) data[i] = v[i - 1]; for (int i = 1; i <= n; i++) { int j = i + (i & -i); if (j <= n) data[j] += data[i]; } } void apply(int k, const T &x) { for (++k; k <= n; k += k & -k) data[k] += x; } T prod(int r) const { T ret = T(); for (; r > 0; r -= r & -r) ret += data[r]; return ret; } T prod(int l, int r) const { return prod(r) - prod(l); } int lower_bound(T x) const { int i = 0; for (int k = 1 << (__lg(n) + 1); k > 0; k >>= 1) { if (i + k <= n && data[i + k] < x) { x -= data[i + k]; i += k; } } return i; } int upper_bound(T x) const { int i = 0; for (int k = 1 << (__lg(n) + 1); k > 0; k >>= 1) { if (i + k <= n && data[i + k] <= x) { x -= data[i + k]; i += k; } } return i; } }; int main() { int n; cin >> n; vector a(n); cin >> a; auto b = a; sort(all(b)); b.erase(unique(all(b)), b.end()); rep(i, n) a[i] = lower_bound(all(b), a[i]) - b.begin(); vector> qs; for (int k = 1; k <= n; k++) { for (int l = 0, r = k; r <= n; l += k, r += k) { qs.emplace_back(l, r); } for (int l = n - k, r = n; l >= 0; l -= k, r -= k) { qs.emplace_back(l, r); } } sort(all(qs)); qs.erase(unique(all(qs)), qs.end()); const int m = sqrt(sz(qs)); sort(all(qs), [&](auto a, auto b) { auto [la, ra] = a; auto [lb, rb] = b; if (la / m != lb / m) return la / m < lb / m; return (la / m & 1) ? ra > rb : ra < rb; }); int l = 0, r = 0; BinaryIndexedTree bit(2 * n); vector> meds(n + 1); for (auto [nl, nr] : qs) { while (l > nl) { --l; bit.apply(a[l], 1); } while (r < nr) { bit.apply(a[r], 1); r++; } while (l < nl) { bit.apply(a[l], -1); l++; } while (r > nr) { --r; bit.apply(a[r], -1); } int sum = bit.prod(2 * n); meds[nl][nr] = b[bit.lower_bound((sum + 1) / 2)]; } vector maxs(2, vector>(n + 1)); for (int k = 1; k <= n; k++) { { ll mx = 0, sm = 0; maxs[0][k] = {0}; for (int l = 0, r = k; r <= n; l += k, r += k) { chmax(mx, sm + ll(meds[l][r])); sm += meds[l][r]; maxs[0][k].push_back(mx); } } { ll mx = 0, sm = 0; maxs[1][k] = {0}; for (int l = n - k, r = n; l >= 0; l -= k, r -= k) { chmax(mx, sm + ll(meds[l][r])); sm += meds[l][r]; maxs[1][k].push_back(mx); } } } ll ans = 0; for (ll k = 1; k <= n; k++) { int x = sz(maxs[0][k]); for (int i = 0; i < x; i++) { chmax(ans, k * (maxs[0][k][i] + maxs[1][k][x - 1 - i])); } } cout << ans << '\n'; }