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 Perl (v5.18.2) (judge verdict: Accepted)

#!/usr/bin/perl

$line = 0;
while(<>) {
    if($line == 0) {
        ($h, $w) = split /\s/, $_;
    } else {
        chomp;
        push @a, $_;
    }
    $line++;
}

foreach (1 .. $w + 2) {
    print "#";
}
print "\n";

foreach (@a) {
    print "#$_#";
    print "\n";
}
foreach (1 .. $w + 2) {
    print "#";
}
print "\n";