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: Accepted)

import Control.Monad(forM_)

main = do
  ns <- lines <$> getContents
  let is = map (\n -> read n::Int) $ words $ head ns
  let h = head is
  let w = last is
  let ls = tail ns
  let res = reverse $ solve h w ls [(replicate (w + 2) '#')]
  forM_ res putStrLn

solve :: Int -> Int -> [String] -> [String] -> [String]
solve h w ls acc
  | ls == [] = replicate (w + 2) '#' : acc
  | otherwise = solve (subtract 1 h) w (tail ls) (l : acc)
  where
    he = head ls
    l = "#" ++ he ++ "#"