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: Accepted)

i,w;main(c){
  for(;(c=getchar_unlocked())>10;)w=c==32?0:w*10+c-48;
  for(;i++<w+2;)putchar_unlocked('#');
  putchar_unlocked(10);
  putchar_unlocked('#');
  for(;~(i=getchar_unlocked());){
    if(i==10)putchar_unlocked('#');
    putchar_unlocked(i);
    if(i==10)putchar_unlocked('#');
  }
  for(;i++<w;)putchar_unlocked('#');
}