#include <bits/stdc++.h>
#pragma GCC optimize ("O2")
#pragma GCC optimize ("unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, ll> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) {cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;}
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;
const ld eps=1e-7;
const int inf=1000000010;
const ll INF=10000000000000010LL;
const int mod = 1000000007;
const int MAXN = 100010, LOG=20;
struct CHT{
typedef pair < ll , ll > Line;
set < pair < Line , ll > > S;
set < pair < ll , Line > > I;
ll INF = 4e18;
inline void Add(Line X)
{
ll t = -INF;
auto it = S.lower_bound({X, -INF});
while ((int)S.size())
{
if (it == S.begin())
{t = -INF; break;}
it --; ll r = Intersection(it->first, X);
if (r <= it->second)
I.erase({it->second, it->first}), it = S.erase(it);
else
{t = r; break;}
}
it = S.lower_bound({X, -INF});
while ((int)S.size())
{
if (it == S.end())
break;
ll r = Intersection(X, it->first);
Line Y = it->first;
I.erase({it->second, it->first});
it = S.erase(it);
if (r <= t)
{
r = -INF;
if (it != S.begin())
it --, r = Intersection(it->first, Y);
S.insert({Y, r}); I.insert({r, Y}); return ;
}
if (it != S.end() && it->second <= r)
continue;
S.insert({Y, r}); I.insert({r, Y}); break;
}
S.insert({X, t}); I.insert({t, X});
}
inline ll GetMax(ll X)
{
auto it = I.upper_bound({X, {INF, INF}}); it --;
return (X * it->second.first + it->second.second);
}
inline ll Intersection(Line X, Line Y)
{
if (X.first == Y.first && X.second <= Y.second)
return (-INF);
if (X.first == Y.first)
return (INF);
return ((X.second - Y.second) / (Y.first - X.first)) + ((X.second - Y.second) % (Y.first - X.first) > 0);
}
};
ll n, m, k, u, v, x, y, t, a, b, ans;
ll A[MAXN], B[MAXN];
ll dp[MAXN];
CHT cht;
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
cin>>n;
for (int i=1; i<=n; i++) cin>>A[i];
for (int i=1; i<=n; i++) cin>>B[i], ans+=B[i];
dp[1]=-B[1];
cht.Add({-A[1], -A[1]*A[1]-dp[1]});
for (int i=2; i<=n; i++){
dp[i]=-cht.GetMax(-2*A[i]) + A[i]*A[i] - B[i];
cht.Add({-A[i], -A[i]*A[i]-dp[i]});
}
ans+=dp[n];
cout<<ans<<'\n';
return 0;
}
