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 C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>
int main()
{
	char x[1000][100];
	int h,w,i,j;
	scanf("%d%d",&h,&w);
	for(i=0;i<h;i++)
{	getchar();
	for(j=0;j<w;j++)
	scanf("%c",&x[i][j]);}
for(i=0;i<w+2;i++)
printf("#");
printf("\n");
	for(i=0;i<h;i++)
{	printf("#");
printf("%s",x[i]);
printf("#\n");}
for(i=0;i<w+2;i++)
printf("#");
printf("\n");
return 0;
}