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>
#include <cmath>
#include <cstring>
#include <cstdlib>
#include <algorithm>
#include <iomanip>
#include <climits>


using namespace std;

int main()
{
	int H,W,m=0;
	char a[105][105];
	cin >> H >> W;
	for(int i=0;i<H;i++){
		for(int j=0;j<W;j++){
			cin >> a[i][j];
		}
	}
	int n=0;
	while(m < H+1){
		if(m==0){
			for(int j=0;j<W+2;j++){
				cout << '#';
			}
			cout << endl;
		}
		if(n<H){
			cout << '#';
			for(int k=0;k<W;k++){
				cout << a[n][k];
			}cout << '#' << endl;
		}
		m++;
		n++;
		if(m==H+1){
			for(int c=0;c<W+2;c++){
				cout << '#';
			}
			break;
		}
	}
	return 0;
}