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: Time Limit Exceeded)


#include <iostream>
#include <vector>
using namespace std;

	int main() {
		int h, w;
		cin >> h >> w;

		vector<char> v(w + 2);
		
		for (int i = 0; i < w+2; i++) {
			cout << "#";
		}
		cout << endl;
		for (int l = 0; l < h; h++) {
			for (int j = 0; j < w; j++) {
				cin >> v.at(j);
				cout << "#" << v.at(j) << "#" << endl;
			}
		}
		for (int k = 0; k < w+2; k++) {
			cout << "#";
		}
		cout << endl;
	}