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-----
2 3
abc
arc

-----Sample Output-----

abc

arc

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