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>
#include <vector>
#define REP(i, n) for (int i = 0; i < (n); i++)
using namespace std;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);

    int h, w;
    cin >> h >> w;

    vector<string> str(h);
    REP(i, h) cin >> str[i];

    REP(i, w + 2) cout << '#';
    cout << '\n';

    REP(i, h) cout << '#' << str[i] << '#' << '\n';

    REP(i, w + 2) cout << '#';
    cout << '\n';
    return 0;
}