#define _USE_MATH_DEFINES
#include "bits/stdc++.h"
using namespace std;
#define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i))
#define rep(i,j) FOR(i,0,j)
#define each(x,y) for(auto &(x):(y))
#define mp make_pair
#define MT make_tuple
#define all(x) (x).begin(),(x).end()
#define debug(x) cout<<#x<<": "<<(x)<<endl
#define smax(x,y) (x)=max((x),(y))
#define smin(x,y) (x)=min((x),(y))
#define MEM(x,y) memset((x),(y),sizeof (x))
#define sz(x) (int)(x).size()
#define RT return
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
using vll = vector<ll>;

template<class Val, class Compare>
struct ConvexHullTrick {
    deque<pair<Val, Val> > lines;
    Compare comp;
    ConvexHullTrick() :comp(Compare()) {
    }
    void addLine(Val slope, Val constant) {
        pair<Val, Val> line(slope, constant);
        int n;
        while ((n = (int)lines.size()) >= 2) {
            Val a1, a2, a3, b1, b2, b3;
            tie(a1, b1) = lines[n - 2];
            tie(a2, b2) = lines[n - 1];
            tie(a3, b3) = line;
            if ((a1 - a2)*(b3 - b1) >(a1 - a3)*(b2 - b1))break;
            else lines.pop_back();
        }
        lines.push_back(line);
    }
    Val query(Val x) {
        while ((int)lines.size() >= 2 && comp(f(x, lines[1]), f(x, lines[0]))) {
            lines.pop_front();
        }
        return f(x, lines[0]);
    }
    Val f(Val x, pair<Val, Val> line) {
        return x * line.first + line.second;
    }
};

const int MAX_N = 300005;
int N, A[MAX_N], X[MAX_N], Y[MAX_N];
ll f[MAX_N];

void solve() {
    cin >> N;
    for (int *x : { A,X,Y }) {
        rep(i, N)cin >> x[i];
    }

    ConvexHullTrick<ll, less<ll>> cht;
    rep(i, N) {
        ll slope = -2ll * X[i];
        ll constant = f[i] + (ll)X[i] * X[i] + (ll)Y[i] * Y[i];
        cht.addLine(slope, constant);
        f[i + 1] = (ll)A[i] * A[i] + cht.query(A[i]);
    }
    cout << f[N] << endl;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout << fixed << setprecision(15);
	solve();
	return 0;
}