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 Control.Monad (replicateM)

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

solve :: [String] -> String
solve a = replicate l '#' ++ "\n"
       ++ (concat . map (\s -> "#" ++ s ++ "#\n") $ a)
       ++ replicate l '#' ++ "\n" where
    l = length a + 3