#include <bits/stdc++.h>
using namespace std;
#define int long long
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(nullptr); cout.tie(nullptr);
int n;
cin >> n;
vector<int> h(n + 1, 0), w(n + 1, 0);
for(int i = 1; i <= n; ++i){
cin >> h[i];
}
for(int i = 1; i <= n; ++i){
cin >> w[i];
w[i] += w[i - 1];
}
vector<int> dp(n + 5, 0);
auto cost = [&](int i, int j) -> int {
return (h[i] - h[j]) * (h[i] - h[j]) + w[j - 1] - w[i];
};
for(int i = 2; i <= n; ++i){
dp[i] = cost(1, i);
}
for(int i = 1; i <= n; ++i){
for(int j = i - 1; j >= 1; --j){
dp[i] = min(dp[i], dp[j] + cost(j, i));
}
}
cout << dp[n] << "\n";
return 0;
}
