Problem:
Score : 300 points

Problem Statement

Iroha is very particular about numbers. There are K digits that she dislikes: D_1, D_2, ..., D_K.

She is shopping, and now paying at the cashier.
Her total is N yen (the currency of Japan), thus she has to hand at least N yen to the cashier (and possibly receive the change).

However, as mentioned before, she is very particular about numbers. When she hands money to the cashier, the decimal notation of the amount must not contain any digits that she dislikes. Under this condition, she will hand the minimum amount of money.

Find the amount of money that she will hand to the cashier.

Constraints

1 ≦ N < 10000

1 ≦ K < 10

0 ≦ D_1 < D_2 < … < D_K≦9

\{D_1,D_2,...,D_K\} ≠ \{1,2,3,4,5,6,7,8,9\}

Input

The input is given from Standard Input in the following format:

N K
D_1 D_2 … D_K

Output

Print the amount of money that Iroha will hand to the cashier.

Sample Input 1

1000 8
1 3 4 5 6 7 8 9

Sample Output 1

2000

She dislikes all digits except 0 and 2.

The smallest integer equal to or greater than N=1000 whose decimal notation contains only 0 and 2, is 2000.

Sample Input 2

9999 1
0

Sample Output 2

9999

Solution in Haskell (GHC 7.10.3) (judge verdict: Runtime Error)

module Main where

import           Control.Monad
import           Debug.Trace
import qualified Data.Vector.Unboxed           as VU
import           Data.List
import qualified Data.ByteString               as BS
import qualified Data.ByteString.Char8         as BSC8
import           Data.Char
import           Data.Maybe

tuplify2 (x : y : _) = (x, y)
tuplify2 _           = undefined

getVUIntFromInputLineAtBSC8 :: IO (VU.Vector Int)
getVUIntFromInputLineAtBSC8 =
    VU.unfoldr (BSC8.readInt . BSC8.dropWhile isSpace) <$> BSC8.getLine
getVUIntListFromInputLineAtBSC8 =
    VU.unfoldr (BSC8.readInt . BSC8.dropWhile isSpace) <$> BSC8.getLine

readInt = fst . fromJust . BSC8.readInt
readIntTuple = tuplify2 . map readInt . BSC8.words
readIntList = map readInt . BSC8.words

getInt = readInt <$> BSC8.getLine
getIntList = readIntList <$> BSC8.getLine
getIntNList n = map readIntList <$> replicateM (fromIntegral n) BSC8.getLine
getIntMatrix = map readIntList . BSC8.lines <$> BS.getContents
getIntTuple = readIntTuple <$> BSC8.getLine
getIntNTuples n = map readIntTuple <$> replicateM (fromIntegral n) BSC8.getLine
getIntTuples = map readIntTuple . BSC8.lines <$> BSC8.getContents

main :: IO [()]
main = do
    [aN, aK] <- getIntList
    aNumList <- getIntList
    let numList = foldl (\acc x -> delete x acc) [0 .. 9] aNumList
    let minDigit =
            foldl (\acc x -> if (10 ^ x - 1) < aN then succ acc else acc)
                  0
                  [0 .. 4]
                - 1
    let digitList = (reverse [0 .. minDigit])
    let priceList = foldl
            (\acc x -> acc ++ [div (mod aN (10 ^ (x + 1))) (10 ^ x)])
            []
            digitList
    let ret = getListOfSpecialPrice priceList numList
    mapM (putStr . show) ret

getListOfSpecialPrice :: [Int] -> [Int] -> [Int]
getListOfSpecialPrice []                 numList = []
getListOfSpecialPrice priceList@(x : xs) numList = if elem x numList
    then [x] ++ getListOfSpecialPrice xs numList
    else
        [head (filter (\y -> y > x) numList)]
            ++ (getMin (reverse [0 .. length xs - 1]) numList)

getMin :: [Int] -> [Int] -> [Int]
getMin digitList numList = foldl (\acc x -> acc ++ [head numList]) [] digitList