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

int main() {
    int H, W;
    cin >> H >> W;
    
    vector<string> mat(H);
    for (int i = 0; i < H; i++){
        string v = "";
        cin >> v;
        mat.at(i) = v;
    }
    
    vector<string> ans(H+2);
    string sharps = "";
    
    for (int j = 0; j < W+2; j++){
        sharps += '#';
    }
    
    ans.at(0) = sharps;
    ans.at(H+1) = sharps;
    
    for (int i = 1; i < H+1; i++){
        string v = "#";
        v += mat.at(i-1);
        v += '#';
        ans.at(i) = v;
    }
    
    for (int i =0; i < H+2; i++){
        cout << ans.at(i) << endl;
    }
}