{-# OPTIONS_GHC -O2 -funbox-strict-fields #-}

import Control.Applicative
import qualified Data.List as L

data Exp = Con   Int
         | Var   String
         | Mult  Exp Exp
         | Plus  Exp Exp
         | Bibun Exp
  deriving (Show)


parse :: String -> Exp
parse s = case expression s of
  (a, "") -> a
  (a, s ) -> error ("remain: " ++ s)

expression :: String -> (Exp, String)
expression s = case r of
  '+' : t -> (Plus h k, a) where (k,a) = expression t
  _        -> (h, r)
  where
    (h,r) = term s


term :: String -> (Exp, String)
term s = case r of
           '*' : t -> (Mult h k, a) where (k,a) = (term t)
           _       -> (h, r)
         where
           (h,r) = factor s

factor :: String -> (Exp, String)
factor ('d' : r) = (Bibun h, a)
  where
    (h,k) = expression (tail r)  -- remove '{'
    a     = tail k               -- remove '}'
factor ('x' : r) = (Var "x", r)
factor s = (Con x, r)
  where [(x,r)] = reads s


-- list size is constant.
eval :: Exp -> [Int]
eval (Con a) = a : [0,0 ..]
eval (Var _)   = 0 : 1 : [0,0..]
eval (Mult x (Var _)) = 0 : (eval x)
eval (Mult x (Con a)) = map (* a) $ eval x
eval (Mult (Var _) x) = 0 : (eval x)
eval (Mult (Con a) x) = map (* a) $ eval x
eval (Mult _ _) = error "mult"

eval (Plus l r) = zipWith (+) (eval l) (eval r)
eval (Bibun r)  = zipWith (*) (tail $ eval r) [1..]

solve :: Int -> String -> [Int]
solve max_degree = (take (max_degree+1)) . eval . parse

main :: IO ()
main = do
  n <- (read <$> getLine) :: IO Int
  d <- read <$> getLine
  s <- getLine
  print $ parse s
  putStrLn $ foldl (++) ""  (L.intersperse " " (map show (solve d s)))