Problem:
Score : 200 points

Problem Statement

You are given a image with a height of H pixels and a width of W pixels.
Each pixel is represented by a lowercase English letter.
The pixel at the i-th row from the top and j-th column from the left is a_{ij}.

Put a box around this image and output the result. The box should consist of # and have a thickness of 1.

Constraints

1 ≤ H, W ≤ 100

a_{ij} is a lowercase English letter.

Input

Input is given from Standard Input in the following format:

H W
a_{11} ... a_{1W}
:
a_{H1} ... a_{HW}

Output

Print the image surrounded by a box that consists of # and has a thickness of 1.

Sample Input 1

2 3
abc
arc

Sample Output 1

#####
#abc#
#arc#
#####

Sample Input 2

1 1
z

Sample Output 2

###
#z#
###

Solution in Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

import Prelude hiding (abs)
import Control.Monad
import Control.Arrow ((&&&))
import Data.List (nub, sort, group)
import Data.Maybe (fromMaybe)
import qualified Data.IntMap as M

type RoadCount = M.IntMap Int

main :: IO ()
main = do
    [h,w] <- (map read . words) <$> getLine
    as <- replicateM h getLine
    mapM_ print $ solve as w

-- |
solve :: [String] -> Int -> [String]
solve as w = [wall] ++ body ++ [wall]
  where
    wall = replicate w '#'
    body = map sand as

sand :: String -> String
sand s = "#" ++ s ++ "#"