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: Time Limit Exceeded)

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