#include <iostream>
#include <math.h>
#include <vector>
#include <string>
#include <algorithm>
#include <queue>
#include <stack>
#include <map>
#include <cstring>
#include <iomanip>
#include <set>
#include <bitset>
#include <unordered_map>
#define int long long
using namespace std;
using ll = long long;
using pii = pair<int,int>;
using piii = tuple<int,int,int>;
#define f first
#define s second
#define endl '\n'
#define all(x) begin(x),end(x)
int const INF = 1e18+10;
struct Line{
int m,c;
Line(int a,int b) : m(a),c(b) {}
int getval(int x){
return m*x+c;
}
};
struct Node{
Line ln;
Node* l;
Node* r;
Node(Line a) : ln(a),l(nullptr),r(nullptr) {}
Node() : ln(Line(0,INF)),l(nullptr),r(nullptr) {}
};
typedef Node* pnode;
pnode root = new Node();
void update(pnode &node,int l,int r,Line ln){
if(!node) node = new Node();
int md = l+(r-l)/2;
if(node->ln.getval(md) >= ln.getval(md)) swap(node->ln,ln);
if(node->ln.getval(l) > ln.getval(l)) update(node->l,l,md,ln);
if(node->ln.getval(r) > ln.getval(r)) update(node->r,md+1,r,ln);
}
int query(pnode &node,int l,int r,int idx){
if(l > idx || r < idx) return INF;
if(!node) node = new Node();
if(l == r && l == idx) return node->ln.getval(idx);
int md = l+(r-l)/2;
int q1 = query(node->l,l,md,idx);
int q2 = query(node->r,md+1,r,idx);
return min({node->ln.getval(idx),q1,q2});
}
signed main(){
int n;cin >> n;
int maxans = 1e18;
vector<int> h(n);
vector<int> cost(n);
vector<int> pref(n+1);
pref[0] = 0;
for(int i{};i < n;i++) cin >> h[i];
for(int i{};i < n;i++){
cin >> cost[i];
pref[i+1] = pref[i]+cost[i];
}
int dpval = 0;
update(root,1,maxans,Line(-2*h[0],h[0]*h[0]+pref[1]));
for(int i{1};i < n;i++){
dpval = query(root,1,maxans,h[i])+h[i]*h[i]+pref[i];
update(root,1,maxans,Line(-2*h[i],h[i]*h[i]-pref[i+1]+dpval));
}
cout << dpval;
}
