bool TEST = false; using namespace std; #include #include #define rep(i,n) for(ll (i)=0;(i)<(ll)(n);i++) #define rrep(i,n) for(ll (i)=(ll)(n)-1;(i)>=0;i--) #define range(i,start,end,step) for(ll (i)=start;(i)<(ll)(end);(i)+=(step)) #define rrange(i,start,end,step) for(ll (i)=start;(i)>(ll)(end);(i)+=(step)) #define dump(x) cerr << "Line " << __LINE__ << ": " << #x << " = " << (x) << "\n"; #define spa << " " << #define fi first #define se second #define all(a) (a).begin(),(a).end() #define allr(a) (a).rbegin(),(a).rend() using ld = long double; using ll = long long; using ull = unsigned long long; using pii = pair; using pll = pair; using pdd = pair; template using V = vector; template using VV = V>; template using P = pair; template using M = map; template using S = set; template using UM = unordered_map; template using PQ = priority_queue, greater>; template using rPQ = priority_queue, less>; templatevector make_vec(size_t a){return vector(a);} templateauto make_vec(size_t a, Ts... ts){return vector(ts...))>(a, make_vec(ts...));} template ostream& operator << (ostream& os, const pair v){os << "(" << v.first << ", " << v.second << ")"; return os;} template ostream& operator<<(ostream &os, const vector &v) { for (auto &e : v) os << e << ' '; return os; } template ostream& operator<<(ostream& os, const vector> &v){ for(auto &e : v){os << e << "\n";} return os;} struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; template void UNIQUE(vector &x) {sort(all(x));x.erase(unique(all(x)), x.end());} template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } void fail() { cout << -1 << '\n'; exit(0); } inline int popcount(const int x) { return __builtin_popcount(x); } inline int popcount(const ll x) { return __builtin_popcountll(x); } template void debug(vector>&v){for(ll i=0;i void debug(vector&v){if(v.size()!=0)cerr< void debug(priority_queue&v){V vals; while(!v.empty()) {cerr << v.top() << " "; vals.push_back(v.top()); v.pop();} cerr<<"\n"; for(auto val: vals) v.push(val);} template void debug(map&v){for(auto [k,v]: v) cerr << k spa v << "\n"; cerr<<"\n";} template void debug(unordered_map&v){for(auto [k,v]: v) cerr << k spa v << "\n";cerr<<"\n";} V listrange(int n) {V res(n); rep(i,n) res[i]=i; return res;} template P divmod(T a, T b) {return make_pair(a/b, a%b);} const ll INF = (1ll<<62); // const ld EPS = 1e-10; // const ld PI = acos(-1.0); // double /** * @brief Dynamic-Li-Chao-Tree * @docs docs/dynamic-li-chao-tree.md */ template< typename T, ll _x_low, ll _x_high, ll id > struct DynamicLiChaoTree { T x_low, x_high; 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 *root; DynamicLiChaoTree() : root{nullptr} { x_low = _x_low; x_high = _x_high; } 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); } }; // // cannot overflow query_x*xlow, query_x*xhigh // DynamicLiChaoTree t; // // t.add_line(a,b); // t.query(x); // // cannot overflow query_x*xlow, query_x*xhigh // t.add_line(a,b); // t.query(x); void Main(){ ll n; cin >> n; DynamicLiChaoTree t; // DynamicLiChaoTree t2; // ll x,y; ll ans = 0; ll my = 0; ll mx = 0; ll zx = 0; ll zy = 0; V> xy; rep(i,n) { cin >> x >> y; xy.emplace_back(x,y); if (x==0) chmax(zy, abs(y)); if (y==0) chmax(zx, abs(x)); chmax(mx, abs(x)); chmax(my, abs(y)); t.add_line(-x, y); t.add_line(x, -y); t2.add_line(-y,x); t2.add_line(y,-x); } for (auto [x,y] : xy) { if (x!=0) { ll val = round(double(x)*(t.query(double(y)/double(x)))); chmax(ans, abs(val)); } else { ; // ll val = round(double(abs(y))*abs(t2.query(double(x)/double(y)))); // chmax(ans, val); } } chmax(ans, mx*zy); chmax(ans, my*zx); cout << ans << "\n"; } int main(void){ std::ifstream in("tmp_in"); if (TEST) { std::cin.rdbuf(in.rdbuf()); std::cout << std::fixed << std::setprecision(15); } else { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(15); } Main(); }