fn read() -> Vec<i64> {
    use std::io::Read;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace();
    it.next();
    it.flat_map(|s| s.parse()).collect()
}

fn main() {
    let mut a = read();
    let n = a.len();
    a.push(0);
    for i in (0..n).rev() {
        a[i] += a[i + 1];
    }
    let inf = (3000 * 100_000i64).pow(2);
    let mut dp = vec![inf; n + 1];
    dp[n] = 0;
    let mut deq = std::collections::VecDeque::<(i64, i64)>::new();
    let mut ans = vec![0; n];
    for i in 0..n {
        deq.clear();
        deq.push_back((-2 * a[n - i], dp[n - i] + a[n - i].pow(2)));
        for j in (0..(n - i)).rev() {
            let x = a[j + 1];
            while deq.len() > 1 {
                let (a, b) = deq[0];
                let (c, d) = deq[1];
                if a * x + b >= c * x + d {
                    deq.pop_front();
                } else {
                    break;
                }
            }
            let val = deq.front().map(|p| p.0 * x + p.1).unwrap() + x.pow(2);
            let (a, b) = (-2 * a[j], dp[j] + a[j].pow(2));
            dp[j] = val;
            while deq.len() > 1 {
                let len = deq.len();
                let (c, d) = deq[len - 1];
                let (e, f) = deq[len - 2];
                if (b - d).div_euclid(c - a) <= (d - f).div_euclid(e - c) {
                    deq.pop_back();
                } else {
                    break;
                }
            }
            deq.push_back((a, b));
        }
        let x = a[0];
        while deq.len() > 1 {
            let (a, b) = deq[0];
            let (c, d) = deq[1];
            if a * x + b >= c * x + d {
                deq.pop_front();
            } else {
                break;
            }
        }
        ans[n - 1 - i] = deq.front().map(|p| p.0 * x + p.1).unwrap() + x.pow(2);
    }
    for a in ans {
        println!("{}", a);
    }
}