#include <bits/stdc++.h>
#define int long long
#define lint long long
#define pii pair<int,int>
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(c) (c).begin(),(c).end()
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define MINF(a) memset(a,0x3f,sizeof(a))
#define POW(n) (1LL<<(n))
#define POPCNT(n) (__builtin_popcount(n))
#define IN(i,a,b) (a <= i && i <= b)
using namespace std;
template <typename T> inline bool CHMIN(T& a,T b) { if(a>b) { a=b; return 1; } return 0; }
template <typename T> inline bool CHMAX(T& a,T b) { if(a<b) { a=b; return 1; } return 0; }
template <typename T> inline void SORT(T& a) { sort(ALL(a)); }
template <typename T> inline void REV(T& a) { reverse(ALL(a)); }
template <typename T> inline void UNI(T& a) { sort(ALL(a)); a.erase(unique(ALL(a)),a.end()); }
template <typename T> inline T LB(vector<T>& v, T a) { return *lower_bound(ALL(v),a); }
template <typename T> inline int LBP(vector<T>& v, T a) { return lower_bound(ALL(v),a) - v.begin(); }
template <typename T> inline T UB(vector<T>& v, T a) { return *upper_bound(ALL(v),a); }
template <typename T> inline int UBP(vector<T>& v, T a) { return upper_bound(ALL(v),a) - v.begin(); }
template <typename T1, typename T2> ostream& operator<< (ostream& os, const pair<T1,T2>& p) { os << p.first << " " << p.second; return os; }
template <typename T1, typename T2> istream& operator>> (istream& is, pair<T1,T2>& p) { is >> p.first >> p.second; return is; }
template <typename T> ostream& operator<< (ostream& os, const vector<T>& v) { REP(i,v.size()) { if (i) os << " "; os << v[i]; } return os; }
template <typename T> istream& operator>> (istream& is, vector<T>& v) { for(T& in : v) is >> in; return is; }
template <typename T = int> vector<T> make_v(size_t a) { return vector<T>(a); }
template <typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a,make_v<T>(ts...)); }
template <typename T, typename V> typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) { t = v; }
template <typename T, typename V> typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e,v); }
const lint MOD = 1000000007;
// const lint INF = 0x3f3f3f3f3f3f3f3f;
const double EPS = 1e-10;

const int INF = 1LL << 40;

struct LiChaoTree {
    int n;
    vector<int> xs;  // 座標
    vector<int> ps;     // 直線の傾き
    vector<int> qs;     // 直線の切片

    LiChaoTree(vector<int> &xin)
    {
        for (n = 1; n < xin.size(); n <<= 1);
        ps.assign(n << 1, 0);
        qs.assign(n << 1, INF);
        xs.resize(n, INF);
        for (int i = 0; i < xin.size(); ++i) {
            xs[i] = xin[i];
        }
    }

    int f(int p, int q, int x)
    {
        return p * x + q;
    }

    // 追加処理
    // [l, r)
    void add(int p, int q, int k, int l, int r) {
        int m = (l + r) / 2;
        if (ps[k] == 0 && qs[k] == INF) {
            ps[k] = p;
            qs[k] = q;
            return;
        }
        bool left = (f(p, q, xs[l]) < f(ps[k], qs[k], xs[l]));
        bool mid = (f(p, q, xs[m]) < f(ps[k], qs[k], xs[m]));
        bool right = (f(p, q, xs[r - 1]) < f(ps[k], qs[k], xs[r - 1]));
        if (left && right) {
            ps[k] = p;
            qs[k] = q;
            return;
        }
        if (!left && !right)
            return;
        if (mid) {
            swap(ps[k], p);
            swap(qs[k], q);
        }
        if (left != mid) {
            add(p, q, (k << 1) | 0, l, m);
        } else {
            add(p, q, (k << 1) | 1, m, r);
        }
    }

    // 直線追加
    // O(log n)
    void add(int p, int q) {
        return add(p, q, 1, 0, n);
    }

    // 線分追加 [a, b)
    void add(int p, int q, int a, int b) {
        int L = a + n, R = b + n;
        int a0 = a, b0 = b;
        int sz = 1;
        while (L < R) {
            if (L & 1) {
                add(p, q, L, a0, a0 + sz);
                L++;
                a0 += sz;
            }
            if (R & 1) {
                R--;
                b0 -= sz;
                add(p, q, R, b0, b0 + sz);
            }
            L >>= 1; R >>= 1;
            sz <<= 1;
        }
    }

    // k番目の座標の最小値 (0-indexed)
    // O(log n)
    int query(int k) {
        int x = xs[k];
        k += n;
        int res = INF;
        while (k > 0) {
            res = min(res, f(ps[k], qs[k], x));
            k >>= 1;
        }
        return res;
    }

    void print()
    {
        int lev = 0;
        while ((1 << lev) < n) lev++;
        cout << "(傾き, 切片):" << endl;
        for (int i = 0; i <= lev; ++i) {
            for (int j = 0; j < (1 << i); ++j) {
                cout << " (" << ps[(1 << i) + j] << ", " << qs[(1 << i) + j] << ")";
            }
            cout << endl;
        }
        cout << endl;
    }
};

void _main() {
    int n;
    cin >> n;
    vector<int> a(n), x(n), y(n);
    cin >> a >> x >> y;
    LiChaoTree lct(a);
    vector<int> dp(n + 1, 0);
    for (int i = 0; i < n; ++i) {
        lct.add(-2 * x[i], x[i] * x[i] + y[i] * y[i] + dp[i]);
        dp[i + 1] = lct.query(i) + a[i] * a[i];
    }
    cout << dp[n] << endl;
}

signed main(signed argc, char **argv) {
    if (argc > 1) {
        if (strchr(argv[1], 'i'))
            freopen("input.txt", "r", stdin);
        if (strchr(argv[1], 'o'))
            freopen("output.txt", "w", stdout);
    }
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    _main();
    return 0;
}