#728. Pattern: Pascal's triangle
You are given n. Print the **Pascal's triangle** 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
6
Output
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1
Input
8
Output
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
💡 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.