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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main()
{
    int h, w, i, j;
    scanf("%d %d", &h, &w);
    char a[100][101];
    for (i=0; i<h; i++)
    {
        scanf("%s", a[i]);
    }
    char ans[102][103];
    for (i=0; i<h+2; i++)
    {
        for (j=0; j<w+2; j++)
        {
            ans[i][j] = '#';
        }
    }
    for (i=0; i<h; i++)
    {
        for (j=0; j<w; j++)
        {
            ans[i+1][j+1] = a[i][j];
        }
    }
    for (i=0; i<h+2; i++)
    {
        printf("%s\n", ans[i]);
    }


    return 0;
}