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: Time Limit Exceeded)

#include <stdio.h>

void pri(int x)
{
	int j;
	for (j=0;j<x+2;j++)
		printf("#");
	printf("\n");
}

int main()
{
	void pri(int x);
	int h, w, i;
	char str[100][100];
	while (1) {
		scanf("%d %d", &h, &w);
		
		for (i=0;i<h;i++) {
			scanf("%s", str[i]);
		}
		pri(w);
		for (i=0;i<h;i++) {
			printf("#%s#\n", str[i]);
		}
		pri(w);
	}
	return 0;
}