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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
fscanf(STDIN,"%d %d",$H,$W);

for ($i = 0; $i < $W+2; $i++) {
    echo '#';
}
echo "\n";
$a_1 = trim(fgets(STDIN));
echo "#" . $a_1 . "#";
echo "\n";
if ($H > 2) {
 $a_2 = trim(fgets(STDIN));
 echo "#" . $a_2 . "#";   
 echo "\n";
}
for ($i = 0; $i < $W+2; $i++) {
    echo '#';
}
?>