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 Go (1.6) (judge verdict: Accepted)

package main

import (
        "fmt"
)

func solution(h, w int, a []string) []string {
        out := make([]string, h+2)
        for i := range out {
                buf := make([]byte, 0, w+2)
                for j := 0; j < w+2; j++ {
                        if i > 0 && i < h+1 && j > 0 && j < w+1 {
                                buf = append(buf, a[i-1][j-1])
                        } else {
                                buf = append(buf, '#')
                        }
                }
                out[i] = string(buf)
        }
        return out
}

func main() {
        var h, w int
        fmt.Scan(&h, &w)
        a := make([]string, h)
        for i := range a {
                fmt.Scan(&a[i])
        }
        for _, t := range solution(h, w, a) {
                fmt.Println(t)
        }
}