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 aij.

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
aij is a lowercase English letter.
Input
Input is given from Standard Input in the following format:

H W
a11 … a1W
:
aH1 … aHW
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#
###