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>
#define DUMP(x)  cout << #x << " = " << (x) << endl;
#define FOR(i, m, n) for(int i = m; i < n; i++)
#define IFOR(i, m, n) for(int i = n - 1; i >= m; i-- )
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
#define FOREACH(x,a) for(auto& (x) : (a) )
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
const ll INF = 1e18;
/* テンプレートここまで */

int main() {
  ll H, W; cin >> H >> W;
  vector<string> s(H); 
  REP(i, H) cin >> s[i];
  
  REP(i, W+2) cout << "#";
  cout << endl;

  REP(i, H){
    cout << "#";
    cout << s[i];
    cout << "#";
    cout << endl;
  }

  REP(i, W+2) cout << "#";
  cout << endl; 
}