//#define _GLIBCXX_DEBUG #include using namespace std; #define endl '\n' #define lfs cout<= (ll)(n); i--) using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 1e18; using P = pair; template using PQ = priority_queue; template using QP = priority_queue,greater>; templatebool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;} templatebool chmax(T1 &a,T2 b){if(avoid ans(bool x,T1 y,T2 z){if(x)cout<void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);}; templatevoid debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;ivoid debug(const T &v,ll n,string sv=" "){if(n!=0)cout<void debug(const vector&v){debug(v,v.size());} templatevoid debug(const vector>&v){for(auto &vv:v)debug(vv,vv.size());} templatevoid debug(stack st){while(!st.empty()){cout<void debug(queue st){while(!st.empty()){cout<void debug(deque st){while(!st.empty()){cout<void debug(PQ st){while(!st.empty()){cout<void debug(QP st){while(!st.empty()){cout<void debug(const set&v){for(auto z:v)cout<void debug(const multiset&v){for(auto z:v)cout<void debug(const array &a){for(auto z:a)cout<void debug(const map&v){for(auto z:v)cout<<"["<vector>vec(ll x, ll y, T w){vector>v(x,vector(y,w));return v;} ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;} vectordx={1,-1,0,0,1,1,-1,-1};vectordy={0,0,1,-1,1,-1,1,-1}; templatevector make_v(size_t a,T b){return vector(a,b);} templateauto make_v(size_t a,Ts... ts){return vector(a,make_v(ts...));} templateostream &operator<<(ostream &os, const pair&p){return os << p.first << " " << p.second;} templateostream &operator<<(ostream &os, const vector &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;} templatevoid rearrange(vector&ord, vector&v){ auto tmp = v; for(int i=0;ivoid rearrange(vector&ord,Head&& head, Tail&&... tail){ rearrange(ord, head); rearrange(ord, tail...); } template vector ascend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i) vector descend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);}); return ord; } template vector inv_perm(const vector&ord){ vectorinv(ord.size()); for(int i=0;i0);return n>=0?n/div:(n-div+1)/div;} ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;} ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;} ll modulo(ll n,ll d){return (n%d+d)%d;}; templateT min(const vector&v){return *min_element(v.begin(),v.end());} templateT max(const vector&v){return *max_element(v.begin(),v.end());} templateT acc(const vector&v){return accumulate(v.begin(),v.end(),T(0));}; templateT reverse(const T &v){return T(v.rbegin(),v.rend());}; //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); int popcount(ll x){return __builtin_popcountll(x);}; int poplow(ll x){return __builtin_ctzll(x);}; int pophigh(ll x){return 63 - __builtin_clzll(x);}; templateT poll(queue &q){auto ret=q.front();q.pop();return ret;}; templateT poll(priority_queue &q){auto ret=q.top();q.pop();return ret;}; templateT poll(QP &q){auto ret=q.top();q.pop();return ret;}; templateT poll(stack &s){auto ret=s.top();s.pop();return ret;}; ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;} ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;} ll POW(ll x, ll k){ll ret=1;for(int i=0;i struct edge { int to; T cost; int id; edge():id(-1){}; edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){} operator int() const { return to; } }; template using Graph = vector>>; template Graphrevgraph(const Graph &g){ Graphret(g.size()); for(int i=0;i Graph readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){ Graph ret(n); for(int es = 0; es < m; es++){ int u,v; T w=1; cin>>u>>v;u-=indexed,v-=indexed; if(weighted)cin>>w; ret[u].emplace_back(v,w,es); if(!directed)ret[v].emplace_back(u,w,es); } return ret; } template Graph readParent(int n,int indexed=1,bool directed=true){ Graphret(n); for(int i=1;i>p; p-=indexed; ret[p].emplace_back(i); if(!directed)ret[i].emplace_back(p); } return ret; } struct IncrementalConvexHull{ struct Lower{ mutable int x,y,dx,dy; bool operator<(const Lower& p) const{return make_pair(x,y) < make_pair(p.x,p.y);} bool operator<(pairp)const{return (long long)dy * p.first < (long long)dx * p.second;} }; struct Upper{ mutable int x,y,dx,dy; bool operator<(const Upper& p) const{return make_pair(x,-y) < make_pair(p.x,-p.y);} bool operator<(pairp)const{return (long long)dy * p.first > (long long)dx * p.second;} }; multiset>lower; multiset>upper; const int inf = 2e9; void add(int x, int y){ add_lower(x,y); add_upper(x,y); } template bool check_lower(Itr it){ auto nxt = next(it); if(nxt != lower.end()){ it->dx = nxt->x - it->x; it->dy = nxt->y - it->y; } else{ it->dx = 0; it->dy = 1; } if(it == lower.begin())return false; auto pre = prev(it); pre->dx = it->x - pre->x; pre->dy = it->y - pre->y; if(nxt == lower.end())return false; if((long long)pre->dy * it->dx >= (long long)pre->dx * it->dy){ if(nxt != lower.end()){ pre->dx = nxt->x - pre->x; pre->dy = nxt->y - pre->y; } else{ pre->dx = 0; pre->dy = 1; } return true; } return false; } void add_lower(int ax,int ay){ if(lower.find(Lower{ax,ay,0,0}) != lower.end())return; auto it = lower.find(Lower{ax,ay,0,0}); auto l = lower.insert(Lower{ax,ay,0,0}); if(check_lower(l)){ lower.erase(l); return; } auto r = next(l); while(l != lower.begin() && check_lower(--l))l = lower.erase(l); while(r != lower.end() && check_lower(r))r = lower.erase(r); } template bool check_upper(Itr it){ auto nxt = next(it); if(nxt != upper.end()){ it->dx = nxt->x - it->x; it->dy = nxt->y - it->y; } else{ it->dx = 0; it->dy = -1; } if(it == upper.begin())return false; auto pre = prev(it); pre->dx = it->x - pre->x; pre->dy = it->y - pre->y; if(nxt == upper.end())return false; if((long long)pre->dy * it->dx <= (long long)pre->dx * it->dy){ if(nxt != upper.end()){ pre->dx = nxt->x - pre->x; pre->dy = nxt->y - pre->y; } else{ pre->dx = 0; pre->dy = 1; } return true; } return false; } void add_upper(int ax,int ay){ if(upper.find(Upper{ax,ay,0,0}) != upper.end())return; auto it = upper.find(Upper{ax,ay,0,0}); auto l = upper.insert(Upper{ax,ay,0,0}); if(check_upper(l)){ upper.erase(l); return; } auto r = next(l); while(l != upper.begin() && check_upper(--l))l = upper.erase(l); while(r != upper.end() && check_upper(r))r = upper.erase(r); } //cross((x,y), 点集合内の一点)の最大値 long long maximum_cross(int x,int y){ int sx = x, sy = y; if(sx < 0)sx *= -1, sy *= -1; auto itl = lower.lower_bound(make_pair(sx, sy)); auto itr = upper.lower_bound(make_pair(sx, sy)); if(itl == lower.end())itl--; if(itr == upper.end())itr--; return max((long long)x * itl->y - (long long)y * itl->x, (long long)x * itr->y - (long long)y * itr->x); }; long long minimum_cross(int x,int y){ return -maximum_cross(-x, -y); }; long long maximum_dot(int x,int y){ return maximum_cross(y, -x); } void print(){ cout << "lower" << endl; for(auto [x, y, dx, dy]: lower){ cout << "(" << x << "," << y << ")"<>n; IncrementalConvexHull ch; rep(i,0,n){ ll x,y;cin>>x>>y; ch.add(x,y); chmax(res,ch.maximum_cross(x,y)); chmax(res,-ch.minimum_cross(x,y)); } cout<