#include <bits/stdc++.h>
#define ll long long
using namespace std;
const int N = (int)1e5 + 1;
const int M = (int)1e6 + 1;
const ll inf = 1e18;
ll h[N], w[N], dp[N];
struct LiChaoTree {
struct Line {
ll m, c;
ll y(ll x) { return m * x + c; }
Line() : m(0), c(inf) {}
Line(ll m, ll c) : m(m), c(c) {}
};
Line line[4*M];
void insert(Line L, int u, int l, int r) {
int mid = (l + r) / 2;
bool c1 = line[u].y(l) > L.y(l);
bool c2 = line[u].y(mid) > L.y(mid);
if (c2) swap(line[u], L);
if (l == r) return;
if (c1 != c2) insert(L, u*2, l, mid);
else insert(L, u*2+1, mid+1, r);
}
ll query(int u, int l, int r, ll x) {
if (l == r) return line[u].y(x);
int mid = (l + r) / 2;
if (x <= mid) return min(line[u].y(x), query(u*2, l, mid, x));
else return min(line[u].y(x), query(u*2+1, mid+1, r, x));
}
void insert(ll m, ll c) { insert(Line(m, c), 1, 1, M); }
ll query(ll x) { return query(1, 1, M, x); }
} T;
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n; cin >> n;
ll sum = 0;
for (int i = 1; i <= n; i++) cin >> h[i];
for (int i = 1; i <= n; i++) cin >> w[i], sum += w[i];
T.insert(-2LL * h[1], h[1] * h[1] - w[1]);
for (int i = 2; i <= n; i++) {
dp[i] = T.query(h[i]) + h[i] * h[i] - w[i];
T.insert(-2LL * h[i], h[i] * h[i] + dp[i]);
}
cout << sum + dp[n];
}
