#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" 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) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; #line 1 "structure/convex-hull-trick/dynamic-li-chao-tree.hpp" /** * @brief Dynamic-Li-Chao-Tree * @docs docs/dynamic-li-chao-tree.md */ template< typename T, T x_low, T x_high, T id > struct DynamicLiChaoTree { struct Line { T a, b; Line(T a, T b) : a(a), b(b) {} inline T get(T x) const { return a * x + b; } }; struct Node { Line x; Node *l, *r; Node(const Line &x) : x{x}, l{nullptr}, r{nullptr} {} ~Node() { if (l) delete l; if (r) delete r; } }; Node *root; DynamicLiChaoTree() : root{nullptr} {} ~DynamicLiChaoTree() { if (root) delete root; } Node *add_line(Node *t, Line &x, const T &l, const T &r, const T &x_l, const T &x_r) { if(!t) return new Node(x); T t_l = t->x.get(l), t_r = t->x.get(r); if(t_l <= x_l && t_r <= x_r) { return t; } else if(t_l >= x_l && t_r >= x_r) { t->x = x; return t; } else { T m = (l + r) / 2; if(m == r) --m; T t_m = t->x.get(m), x_m = x.get(m); if(t_m > x_m) { swap(t->x, x); if(x_l >= t_l) t->l = add_line(t->l, x, l, m, t_l, t_m); else t->r = add_line(t->r, x, m + 1, r, t_m + x.a, t_r); } else { if(t_l >= x_l) t->l = add_line(t->l, x, l, m, x_l, x_m); else t->r = add_line(t->r, x, m + 1, r, x_m + x.a, x_r); } return t; } } void add_line(const T &a, const T &b) { Line x(a, b); root = add_line(root, x, x_low, x_high, x.get(x_low), x.get(x_high)); } Node *add_segment(Node *t, Line &x, const T &a, const T &b, const T &l, const T &r, const T &x_l, const T &x_r) { if(r < a || b < l) return t; if(a <= l && r <= b) { Line y{x}; return add_line(t, y, l, r, x_l, x_r); } if(t) { T t_l = t->x.get(l), t_r = t->x.get(r); if(t_l <= x_l && t_r <= x_r) return t; } else { t = new Node(Line(0, id)); } T m = (l + r) / 2; if(m == r) --m; T x_m = x.get(m); t->l = add_segment(t->l, x, a, b, l, m, x_l, x_m); t->r = add_segment(t->r, x, a, b, m + 1, r, x_m + x.a, x_r); return t; } void add_segment(const T &l, const T &r, const T &a, const T &b) { Line x(a, b); root = add_segment(root, x, l, r - 1, x_low, x_high, x.get(x_low), x.get(x_high)); } T query(const Node *t, const T &l, const T &r, const T &x) const { if(!t) return id; if(l == r) return t->x.get(x); T m = (l + r) / 2; if(m == r) --m; if(x <= m) return min(t->x.get(x), query(t->l, l, m, x)); else return min(t->x.get(x), query(t->r, m + 1, r, x)); } T query(const T &x) const { return query(root, x_low, x_high, x); } }; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; constexpr long long INF = 1002003004005006007; DynamicLiChaoTree lct; lct.add_line(0, 0); ll ans = 0; rep(_, n) { int q; cin >> q; ll mx = -lct.query(q); chmax(ans, mx); // y = qx + mx lct.add_line(-q, -mx); } cout << ans << '\n'; }