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: Accepted)

#include<iostream>
using namespace std;
#include<vector>
#include<map>
#include<set>

int main(){
  int h,w;
  cin>>h>>w;
  vector<string> a(h);
  for(int i = 0;i<w+2;i++)cout<<"#";
  cout<<endl;
  for(int i = 0;i<h;i++){
    cin>>a[i];
    cout<<"#"<<a[i]<<"#"<<endl;
  }

  for(int i = 0;i<w+2;i++)cout<<"#";
  cout<<endl;
return 0;



}