#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
set<pair<ll, ll>> lines;
ll h[100001], w[100001], tot = 0;
ll dp[100001];
bool check(ll h, pair<ll, ll> l1, pair<ll, ll> l2) {
return (-l2.first * h + l2.second <= -l1.first * h + l1.second);
}
ll calc(ll h, pair<ll, ll> l) {
return (-l.first * h + l.second);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
FOR(i, 1, n + 1) cin >> h[i];
FOR(i, 1, n + 1) {
cin >> w[i];
tot += w[i];
}
dp[1] = -w[1];
lines.insert({2 * h[1], dp[1] + h[1] * h[1]});
FOR(i, 2, n + 1) {
while (check(h[i], *lines.begin(), *next(lines.begin()))) lines.erase(lines.begin());
dp[i] = calc(h[i], *lines.begin()) - w[i] + h[i] * h[i];
lines.insert({2 * h[i], dp[i] + h[i] * h[i]});
}
cout << tot + dp[n];
return 0;
}
