#712. Pattern: Hollow square (#)
You are given n. Print the **Hollow square (#)** pattern of size n, like in the example. Be careful with spaces (spaces at the end of a line do not matter).
### Input
One integer n (2 ≤ n ≤ 9).
### Output
The pattern.
Examples
Input
5
Output
##### # # # # # # #####
Input
2
Output
## ##
💡 You can solve it with Python, JavaScript or blocks. Read the input line by line with input(). Don't print a question (like input("Number: ")). Print exactly what the output asks for, nothing more.