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 OCaml (4.02.3) (judge verdict: Accepted)

let id x = x
let (h,w) = Scanf.scanf "%d %d" (fun h w -> (h,w))
         
let repeat f n=
    let rec loop acc =function
        | 0->List.rev acc
        | n -> loop (f ():: acc)(n -1) in
    loop [] n

let list' = repeat (fun () -> Scanf.scanf "%s\n" id) (h+1)

let list = List.tl list'         
         
let rec makeshstr w str =
               if w = 0 then str else makeshstr (w-1) ("#" ^ str)  

let shstr = makeshstr w "##"
          
let () =
  let rec pri list =
    match list with
    | [] -> Printf.printf "%s\n" shstr
    | ans :: rest -> (Printf.printf "#%s#\n" ans) ; pri rest
  in Printf.printf "%s\n" shstr; pri list