use std::io::Read;

fn run() {
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace();
    let n: usize = it.next().unwrap().parse().unwrap();
    let a: Vec<i64> = (0..n).map(|_| it.next().unwrap().parse().unwrap()).collect();
    let x: Vec<i64> = (0..n).map(|_| it.next().unwrap().parse().unwrap()).collect();
    let y: Vec<i64> = (0..n).map(|_| it.next().unwrap().parse().unwrap()).collect();
    let mut dp = vec![0; n];
    let mut deq = std::collections::VecDeque::<(i64, i64)>::new();
    dp[0] = y[0] * y[0] + (a[0] - x[0]) * (a[0] - x[0]);
    deq.push_back((-2 * x[0], y[0] * y[0] + x[0] * x[0]));
    for i in 1..n {
        let (a, x, y) = (a[i], x[i], y[i]);
        let (p, q) = (-2 * x, dp[i - 1] + y * y + x * x);
        let (c, d) = *deq.back().unwrap();
        if p < c || (p == c && q < d ) {
            if p == c {
                deq.pop_back();
            }
            while deq.len() >= 2 {
                let len = deq.len();
                let (c, d) = *deq.get(len - 1).unwrap();
                let (e, f) = *deq.get(len - 2).unwrap();
                if (e - p) * (q - d) <= (c - p) * (q - f) {
                    deq.pop_back();
                } else {
                    break;
                }
            }
            deq.push_back((p, q));
        }
        while deq.len() >= 2 {
            let (c, d) = *deq.get(0).unwrap();
            let (e, f) = *deq.get(1).unwrap();
            if c * a + d >= e * a + f {
                deq.pop_front();
            } else {
                break;
            }
        }
        let (c, d) = *deq.front().unwrap();
        dp[i] = c * a + d + a * a;
    }
    let ans = dp[n - 1];
    println!("{}", ans);
}

fn main() {
    run();
}