def main1(n,k,a):
  inf=float('inf')
  dp0=[[[-inf]*n for _ in range(n)] for _ in range(k)]
  dpl0=[[-inf]*n for _ in range(n)]
  dpl1=[[-inf]*n for _ in range(n)]
  dpr0=[[-inf]*n for _ in range(n)]
  dpr1=[[-inf]*n for _ in range(n)]
  for i in range(n):
    if i>0:dpl0[i-1][i]=k*a[i]+(k-1)*a[i-1]
    if i<n-1:dpr0[i][i+1]=k*a[i]+(k-1)*a[i+1]
  ans=[-inf]*n
  lrary=[[] for _ in range(k)]
  for j in range(k-1,-1,-1):
    dpl2=[[-inf]*n for _ in range(n)]
    dpr2=[[-inf]*n for _ in range(n)]
    ary=lrary.pop()
    for f,l,r,v in ary:
      if f:
        dpr0[l][r]=max(dpr0[l][r],v)
      else:
        dpl0[l][r]=max(dpl0[l][r],v)
    for l in range(n):
      for r in range(l,n):
        if k+1-j<r+1-l:break
        if dpl0[l][r]!=-inf:
          # dpl0[l][r]からの遷移。
          if j-2>=0:dpl2[l][r]=max(dpl2[l][r],dpl0[l][r])
          if j-1>=0 and l>0:dpl1[l-1][r]=max(dpl1[l-1][r],dpl0[l][r]+a[l-1]*(j-1))
          # l->rへの移動
          if j-(r-l)>=0:
            lrary[j-(r-l)].append([1,l,r,dpl0[l][r]])
          else:
            ans[l+j]=max(ans[l+j],dpl0[l][r])

        if dpr0[l][r]!=-inf:
          # dpr0[l][r]からの遷移。
          if j-2>=0:dpr2[l][r]=max(dpr2[l][r],dpr0[l][r])
          if j-1>=0 and r<n-1:dpr1[l][r+1]=max(dpr1[l][r+1],dpr0[l][r]+a[r+1]*(j-1))
          # l<-rへの移動
          if j-(r-l)>=0:
            lrary[j-(r-l)].append([0,l,r,dpr0[l][r]])
          else:
            ans[r-j]=max(ans[r-j],dpr0[l][r])
    dpl0,dpl1=dpl1,dpl2
    dpr0,dpr1=dpr1,dpr2
  
  for l in range(n):
    for r in range(l,n):
      ans[l]=max(ans[l],dpl0[l][r])
      ans[r]=max(ans[r],dpr0[l][r])
  return ans

if __name__=='__main__':
  n,k=map(int,input().split())
  a=list(map(int,input().split()))
  ret1=main1(n,k,a)
  print(*ret1,sep='\n')