#include #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define ll long long #define fi first #define se second #define push_back pb #define show(x) cout << #x << " = " << x << "\n" #define int long long using namespace std; typedef pair P; //f[j](x) = a[j]x + b[j]でaがjの増加に伴い単調減少する場合 template class CHT { private: using ptt = pair; bool check(ptt l1, ptt l2, ptt l3){ return (l2.first-l1.first)*(l3.second-l2.second)>=(l2.second-l1.second)*(l3.first-l2.first); } T f(int i, T x){ return lines[i].first * x + lines[i].second; } public: vector lines; CHT(){}; void add(T a, T b){ ptt line(a, b); while((int)lines.size() >= 2 && check(*(lines.end()-2), lines.back(), line)){ lines.pop_back(); } lines.emplace_back(line); } T get(T x){ static int head = 0; while((int)lines.size() - head >= 2 && f(head, x) >= f(head + 1, x)){ head++; } return f(head, x); } }; signed main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; vector a(n),x(n),y(n); rep(i,n){ cin >> a[i]; a[i]++; } rep(i,n){ cin >> x[i]; x[i]++; } rep(i,n){ cin >> y[i]; } CHT cht; cht.add(-2*x[0],x[0]*x[0]+y[0]*y[0]); rep(i,n){ if(i < n-1){ auto res = cht.get(a[i]); cht.add(-2*x[i+1],res+x[i+1]*x[i+1]+y[i+1]*y[i+1]+a[i]*a[i]); }else{ cout << cht.get(a[i])+a[i]*a[i] << "\n"; return 0; } } }