In this problem, you will have to print the $n$-th prime number. The first few prime numbers are given below:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...

2 is the 1st prime, 3 is the 2nd prime, 5 is the 3rd prime, ...

Input

The input will contain a single integer $n$ ($0 < n < 500000$).

Output

Print the $n$-th prime number.

Samples

Input	Output
1	2

Input	Output
2	3