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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
using namespace std;

int main() {
	int h, w; cin >> h >> w;
	char a[105][105];
	char b[105][105];

	for (int y = 0; y < h; y++) {
		for (int x = 0; x < w; x++) {
			cin >> a[y][x];
		}
	}

	for (int y = 0; y < h + 2; y++) {
		for (int x = 0; x < w + 2; x++) {
			b[y][x] = '#';
		}
	}

	for (int y = 0; y < h; y++) {
		for (int x = 0; x < w; x++) {
			b[y+1][x+1] = a[y][x];
		}
	}

	for (int y = 0; y < h+2; y++) {
		for (int x = 0; x < w+2; x++) {
			cout << b[y][x];
		}
		cout << endl;
	}

	return 0;
}