#include using namespace std; #if __has_include() #include using namespace atcoder; templateistream &operator>>(istream &is,static_modint &a){long long b;is>>b;a=b;return is;} templateostream &operator<<(ostream &os,const static_modint &a){os<>(istream &is,modint &a){long long b;cin>>b;a=b;return is;} ostream &operator<<(ostream &os,const modint &a){os<; templateusing minque=priority_queue,greater>; templatebool chmax(T &a,const T &b){return (abool chmin(T &a,const T &b){return (a>b?(a=b,true):false);} templateostream &operator<<(ostream &os,const pair&p){os<istream &operator>>(istream &is,pair&p){is>>p.first>>p.second;return is;} template ostream &operator<<(ostream &os,const vector &a){cout<<'{';for(int i=0;iistream &operator>>(istream &is,vector &a){for(auto &i:a)is>>i;return is;} templatevoid operator++(pair&a,int n){a.first++,a.second++;} templatevoid operator--(pair&a,int n){a.first--,a.second--;} templatevoid operator++(vector&a,int n){for(auto &i:a)i++;} templatevoid operator--(vector&a,int n){for(auto &i:a)i--;} #define reps(i,a,n) for(int i=(a);i<(n);i++) #define rep(i,n) reps(i,0,n) #define all(x) x.begin(),x.end() #define pcnt(x) __builtin_popcount(x) ll myceil(ll a,ll b){return (a+b-1)/b;} template void debug(const T1& x,const T2& ...y){ #ifdef LOCAL cout<>testcase; for(int i=0;i struct convex_hull_trick{ private: struct node{ node *left,*right; static const T inf=numeric_limits::max(); T a,b; node():node(0,inf){} node(const T a,const T b):left(nullptr),right(nullptr),a(a),b(b){} T f(const T x)const{return a*x+b;} }; static void swap(node *x,node *y){ std::swap(x->a,y->a),std::swap(x->b,y->b); } void add(node *cu,node *nw,T l,T r){ while(true){ if(nw->f(l)f(l))swap(cu,nw); if(cu->f(r-1)<=nw->f(r-1))return; T mid=(l+r)/2; if(cu->f(mid)<=nw->f(mid)){ if(!cu->right){ cu->right=new node(*nw); return; } else{ cu=cu->right,l=mid; } } else{ swap(cu,nw); if(!cu->left){ cu->left=new node(*nw); return; } else{ cu=cu->left,r=mid; } } } } T query(node *cu,T k,T l,T r)const{ T ans=numeric_limits::max(); while(cu){ chmin(ans,cu->f(k)); T mid=(l+r)/2; if(kleft,r=mid; } else{ cu=cu->right,l=mid; } } return ans; } void clear(node *cu){ if(cu->left)clear(cu->left); if(cu->right)clear(cu->right); delete cu; } const T l,r; node *root; public: convex_hull_trick(const T l,const T r):l(l),r(r),root(new node()){ assert(l>n; vectora(n),x(n),y(n); cin>>a>>x>>y; vectordp(n); convex_hull_trickcht(-3e5-100,3e5+100); dp[0]=(a[0]-x[0])*(a[0]-x[0])+y[0]*y[0]; cht.add(-2*x[1],x[1]*x[1]+y[1]*y[1]+dp[0]); reps(i,1,n){ dp[i]=min((a[i]-x[0])*(a[i]-x[0])+y[0]*y[0],cht.query(a[i])+a[i]*a[i]); if(i!=n-1)cht.add(-2*x[i+1],x[i+1]*x[i+1]+y[i+1]*y[i+1]+dp[i]); } cout<