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: Wrong Answer)

#include<iostream>
#include<vector>
#include<string>
#include<algorithm>
using namespace std;
vector<long long> number(10, 0);
int main() {
	int H, W;
	cin >> H >> W;
	for (int i = 0; i < W+2; i++)
	{
		cout << "*";
	}
	cout << endl;


	for (int i = 0; i < H; i++)
	{
		
		string str;
		cin >> str;
		cout << "*" << str << "*" << endl;
	}


	for (int i = 0; i < W+2; i++)
	{
		cout << "*";
	}
	cout << endl;

}