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 <string>
using namespace std;

int main()
{
    int h,w;
    cin >> h >> w;
    string a[h];
    for(int i = 0; i < h; i++) cin >> a[i];

    for(int i = 0; i < h + 2; i++){
        if(i == 0 || i == h + 1){
            for(int j = 0; j < w + 2; j++){
                cout << '#';
            }
            cout << endl;
        }else{
            cout << '#' << a[i-1] << '#' << endl;
        }
    }

    return 0;
}