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 (Clang 3.8.0) (judge verdict: Runtime Error)

#include<stdio.h>
#include<string.h>
main()
{
   int n, m, i, j;
   char a[100];
   while(scanf("%d%d",&n,&m)!=EOF)
   {
       getchar();
       for(i=0;i<n;i++)
       {
           scanf("%s",&a[i]);
       }
       for(j=0;j<m+2;j++)
       printf("#");
       printf("\n");
       for(i=0;i<n;i++)
       {
           printf("#%s#\n",a[i]);
       }
       for(i=0;i<m+1;i++)
       printf("#");
       printf("\n");
   }
}