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

import Control.Applicative
import Control.Monad.Reader
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

-- eval :: Int -> Exp -> [Int]
-- eval m (Con a)   = take m (a : [0,0 ..])
-- eval m (Var _)   = take m (0 : 1 : [0,0..])

-- eval m (Mult x (Var _)) = 0 : (init (eval m x))
-- eval m (Mult (Var _) x) = 0 : (init (eval m x))
-- eval m (Mult x (Con a)) = map (* a) $ eval m x
-- eval m (Mult (Con a) x) = map (* a) $ eval m x
-- eval m (Mult _ _) = error "mult"

-- eval m (Plus l r) = zipWith (+) (eval m l) (eval m r)
-- eval m (Bibun r)  = zipWith (*) ((tail $ eval m r) ++ [0]) [1..]
-- solve :: Int -> String -> [Int]
-- solve max_degree = (eval (max_degree+1)) . parse

eval :: Exp -> Reader Int [Int]
eval (Con a)          = do {m <- ask; return $ take m (a : [0,0 ..])}
eval (Var _)          = do {m <- ask; return $ take m (0 : 1 : [0,0..])}
eval (Mult x (Var _)) = do {r <- eval x; return $ 0 : (init r)}
eval (Mult (Var _) x) = do {r <- eval x; return $ 0 : (init r)}
eval (Mult x (Con a)) = do {r <- eval x; return $ map (* a) r}
eval (Mult (Con a) x) = do {r <- eval x; return $ map (* a) r}
eval (Mult _ _)       = error "mult"
eval (Plus l r)       = do {a <- eval l; b <- eval r; return $ zipWith (+) a b}
eval (Bibun r)        = do {k <- eval r; return $ zipWith (*) ((tail k) ++ [0]) [1..]}

solve :: Int -> String -> [Int]
solve m s = runReader (eval (parse s)) (m+1)



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