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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;

class Main {
    public static void main(String[] args) {
        new Solver().run();
    }
}

class Solver {

    public void run() {
        Scanner sc = new Scanner(System.in);
        int H = sc.nextInt();
        int W = sc.nextInt();

        char[][] a = new char[H][W];

        for (int i = 0; i < H; i++) {
            a[i] = sc.next().toCharArray();
        }

        char[][] A = new char[H + 2][W + 2];


        for (int i = 0; i < H + 2; i++) {
            for (int j = 0; j < W + 2; j++) {
                char ch = 0;
                if (i == 0 || i == H + 1 || j == 0 || j == W + 1) {
                    ch = '#';
                } else {
                    ch = a[i - 1][j - 1];
                }
                A[i][j] = ch;
            }
        }

        for (int i = 0; i < H + 2; i++) {
            System.out.println(new String(A[i]));
        }


        return;
    }

}