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.io.*;
import java.util.*;
import java.util.stream.*;
 
class Main
{
    /**
     * ABC 062 B: Picture Frame
     *     (周囲1ピクセルを'#'で囲む)
     */ 
    public static void main(String[] args) throws IOException
    {
        // 入力
        BufferedReader br = new BufferedReader(
                new InputStreamReader(System.in));
        Stream<String> lines = br.lines();
        
        // データからパラメータを割り出す
        Stream<String> a = lines.filter(item -> item.indexOf(" ") < 0);
 
        // 変換処理、出力
        int W = 0;
        boolean isFirst = true;
        for (Object item : a.map(item -> "#" + item + "#").toArray()) {
            String out = item.toString();
            if (isFirst) {
                isFirst = false;
                W = out.length();
                System.out.println(new String(new char[W]).replace("\0", "#"));
            }
            System.out.println(out);
        }
        System.out.println(new String(new char[W]).replace("\0", "#"));
    }
}