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 9.2.1) (judge verdict: Accepted)

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

int main() {
  int  H, W;
  cin >> H >> W;
  string box;
  for (int j = 0; j < W + 2; j++) {
    box += '#';
  }
  vector<string> total(H + 2);
  total.at(0) = box;
  for (int i = 0; i < H; i++) {
    string a;
    cin >> a;
    string newa = '#' + a + '#';
    total.at(i + 1) = newa;
  }
  total.at(H + 1) = box;
  for (int k = 0; k < total.size(); k++) {
    cout << total.at(k) << endl;
  }
}