import sys

def LI(): return list(map(int, sys.stdin.readline().split()))
inf = 10**9

n, k = LI()
aa = LI()
dp = [{} for _ in range(k+1)]

for i, a in enumerate(aa):
    dp[k][0, i, i] = a*k

def chmax(i, j, l, r, val):
    now = dp[i].setdefault((j, l, r), -inf)
    if val > now: dp[i][j, l, r] = val

ans = [-inf]*n
for i in range(k, -1, -1):
    for (j, l, r), pre in dp[i].items():
        p0 = r-i if j else l+i
        if l <= p0 <= r: ans[p0] = max(ans[p0], pre)
        if i == 0: continue
        # 左に出る
        d = r-l+1 if j else 1
        if l-1 >= 0 and i-d >= 0: chmax(i-d, 0, l-1, r, pre+(i-d)*aa[l-1])
        # 右に出る
        d = 1 if j else r-l+1
        if r+1 < n and i-d >= 0: chmax(i-d, 1, l, r+1, pre+(i-d)*aa[r+1])
        # 動かない
        if l != r: chmax(i-2, j, l, r, pre)

print(*ans, sep="\n")