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;
using ll = long long;

int main() {
    int H, W;
    cin >> H >> W;
    vector<vector<char> > pic(H + 2,vector<char>(W + 2,'#'));

    for(int i = 0; i < H; i++) {
        for(int j = 0; j < W; j++) {
            cin >> pic.at(i + 1).at(j + 1);
        }
    }

    for(int i = 0; i < H + 2; i++) {
        for(int j = 0; j < W + 2; j++) {
            cout << pic.at(i).at(j);
        }
        cout << endl;
    }


    return 0;
}