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(void) {

	int H, W, i, j;
	scanf("%d%d", &H, &W);
	char map[103][103];

	for (j = 1; j <  H + 1; j++) {
			scanf("%s", map[j]);
	}
	for (j = 0; j <  H + 2; j++) {
		//map[j][0] = '#';
		map[j][W + 1] = '#';
	}
	for (i = 0; i < W + 2; i++) {
		map[0][i] = '#';
		map[H + 1][i] = '#';

	}

	for (j = 0; j <  H + 2; j++) {
		if(1<=j&&j<=H)printf("#");
		for (i = 0; i < W + 2; i++) {

			printf("%c", map[j][i]);
		}
		printf("\n");
	}
	return 0;
}