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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;

int main() {
  int H,W;
  cin >> H >> W;
  
  vector<vector<char>> output(H+2, vector<char>(W+2,'#'));
  
  for(int i=1; i<H+1; i++){
    for(int j=1; j<W+1; j++){
      cin >> output.at(i).at(j);
    }
  }
  
  for(int i=0; i<H+2; i++){
    for(int j=0; j<W+2; j++){
      cout<< output.at(i).at(j) << endl;
    }
  }
  
}