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 <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <map>

#define _GLIBCXX_DEBAC
using namespace std;
	


int main() {
	int h, w;
	cin >> h >> w;
	char a[100][101], b[102][102];
	for (int i = 0; i < h; i++) {
		cin >> a[i];
	}
	for (int i = 0; i < h+2; i++) {
		for (int j = 0; j < w+2; w++) {
			b[i][j] = '#';
		}
	}
	for (int i = 0; i < h; i++) {
		for (int j = 0; j < w; j++) {
			b[i + 1][j + 1] = a[i][j];
		}
	}
	for (int i = 0; i < h; i++) {
		for (int j = 0; j < w; j++) {
			cout << b[i][j] << endl;
		}
		cout << endl;
	}

	
	return 0;
}