use proconio::input;

trait OrdTools: Ord + Clone + Sized {
    fn chmin(&mut self, x: Self) {
        *self = std::cmp::min(self.clone(), x);
    }
    fn chmax(&mut self, x: Self) {
        *self = std::cmp::max(self.clone(), x);
    }
}

impl<T: Ord + Clone + Sized> OrdTools for T {}

fn main() {
    input!(n: usize, l: usize, a: [i32; n]);
    let mut ans = vec![std::i32::MIN; n];
    let mut dp = vec![vec![vec![std::i32::MIN; n]; n]; l + 1];

    (0..n).for_each(|j| dp[l][j][j] = l as i32 * a[j]);
    for i in (0..=l).rev() {
        if i + 3 <= l {
            let prv = dp[i + 2].clone();
            for j in 0..n {
                for k in 0..n {
                    dp[i][j][k].chmax(prv[j][k]);
                }
            }
        }
        for j in 0..n {
            let crr = dp[i][j].clone();
            let mut update = |ni: usize, nj: usize, nk: usize, k| {
                dp[ni][nj][nk].chmax(crr[k] + ni as i32 * a[nj]);
            };
            for k in (0..=j).filter(|&k| crr[k] != std::i32::MIN) {
                let d = j - k;
                if d + 1 <= i && 0 < k {
                    update(i - d - 1, k - 1, j, k);
                }
                if 0 < i && j < n - 1 {
                    update(i - 1, j + 1, k, k);
                }
            }
            for k in (j..n).filter(|&k| crr[k] != std::i32::MIN) {
                let d = k - j;
                if 0 < i && 0 < j {
                    update(i - 1, j - 1, k, k);
                }
                if d + 1 <= i && k < n - 1 {
                    update(i - d - 1, k + 1, j, k);
                }
            }
            if j + i < n {
                (j + 1..n).for_each(|k| ans[j + i].chmax(crr[k]));
            }
            if i <= j {
                (0..=j - i).for_each(|k| ans[j - i].chmax(crr[k]));
            }
        }
    }

    ans.iter().for_each(|x| println!("{}", x));
}