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.

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.

Constraints

• 1 ≤ H, W ≤ 100
• a_{ij} is a lowercase English letter.

Sample Input 1

2 3
abc
arc

Sample Output 1

abc

arc

Sample Input 2

1 1
z

Sample Output 2

z

见题面 Input 部分

见题面 Output 部分