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: Runtime Error)

#include <stdio.h>
int main(void)
{
  int h, w, i, j;
  char p[101][101], q[101][101];

  scanf("%d %d", &h, &w);
  for(i = 0; i < h; i++)
    scanf("%s", p[i]);

  for(i = 0; i < h+2; i++){
    for(j = 0; j < w+2; j++)
      q[i][j] = '#';
  }

  for(i = 1; i <= h; i++){
    for(j = 1; j <= w; j++)
      q[i][j] = p[i-1][j-1];
  }

  for(i = 0; i < h+2; i++){
    for(j = 0; j < w+2; j++){
      printf("%c", q[i][j]);
    }
    printf("\n");
  }
  return 0;
}