#include "bits/stdc++.h"

using namespace std;

class LiChaoTree
{
	using T = long long;
	using Line = std::pair<T, T>;
	const T inf = 1e15;
	// 最小化?
	bool isMinimum;
	int n;
	// 各区間には, その区間で最小(or最大)を取りうる直線を保持する
	std::vector<Line> node;
	std::vector<int> usd;

	static inline T f(const Line &line, T x) { return line.first * x + line.second; }

	// [l, r) に Line を追加, 現在ノードk
	void add(int k, int l, int r, Line line)
	{
		while (r - l > 0)
		{
			if (!usd[k])
			{
				node[k] = line;
				usd[k] = true;
				return;
			}
			int m = (l + r) / 2;
			bool left = (f(line, l) < f(node[k], l));
			bool mid = (f(line, m) < f(node[k], m));
			bool right = (f(line, r) < f(node[k], r));
			if (!isMinimum)
			{
				left = !left;
				mid = !mid;
				right = !right;
			}
			if (left && right)
			{
				node[k] = line;
				return;
			}
			if (!left && !right)
			{
				return;
			}
			if (mid)
			{
				swap(line, node[k]);
			}
			if (left != mid)
			{
				k = 2 * k + 1;
				r = m;
			}
			else
			{
				k = 2 * k + 2;
				l = m;
			}
		}
	}

public:
	// [0, n] 用の木を作る
	LiChaoTree(int _n, bool isMin = true) : isMinimum(isMin)
	{
		n = 1;
		while (n < _n)
			n *= 2;
		node.resize(2 * n - 1, Line(0, isMin ? inf : -inf));
		usd.resize(2 * n - 1, false);
	}
	//　ax + b を追加する
	void add(T a, T b)
	{
		add(0, 0, n, Line(a, b));
		return;
	}
	T get(T x)
	{
		int k = x + (n - 1);
		T ret = usd[k] ? f(node[k], x) : (isMinimum ? inf : -inf);
		while (k > 0)
		{
			k = (k - 1) / 2;
			if (usd[k])
			{
				ret = isMinimum ? std::min(ret, f(node[k], x)) : std::max(ret, f(node[k], x));
			}
		}
		return ret;
	}
};


// https://yukicoder.me/submissions/392545
void solve_yukicoder_703()
{
    using ll = long long;
    const ll inf = 1e15;
    int n;
    cin >> n;
    vector<ll> a(n+1), x(n+1), y(n+1);
    for (int i = 1; i <= n; i++)
    {
        cin >> a[i];
    }
    for (int i = 1; i <= n; i++)
    {
        cin >> x[i];
    }
    for (int i = 1; i <= n; i++)
    {
        cin >> y[i];
    }
    LiChaoTree cht(100010);
    vector<ll> dp(n + 1, inf);
    dp[0] = 0;
    for (int i = 1; i <= n; i++)
    {
        cht.add(-2 * x[i], x[i] * x[i] + y[i] * y[i] + dp[i-1]);
        dp[i] = cht.get(a[i]) + a[i] * a[i];
        //cerr << dp[i] << endl;
    }
    cout << dp[n] << endl;
}

int main()
{
    solve_yukicoder_703();
}