Problem: It is November 18 now in Japan. By the way, 11 and 18 are adjacent Lucas numbers.

You are given an integer N. Find the N-th Lucas number.

Here, the i-th Lucas number L_i is defined as follows:

* L_0=2
* L_1=1
* L_i=L_{i-1}+L_{i-2} (i≥2)

Constraints

* 1≤N≤86
* It is guaranteed that the answer is less than 10^{18}.
* N is an integer.

Input

Input is given from Standard Input in the following format:


N


Output

Print the N-th Lucas number.

Examples

Input

5


Output

11


Input

86


Output

939587134549734843

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		final int n = sc.nextInt();

		long list[] = new long[n + 1];

		for (int i = 0; i <= n; i++) {
			if (i == 0) {
				list[i] = 2;
			} else if (i == 1) {
				list[i] = 1;
			} else {
				list[i] = list[i - 2] + list[i - 1];
			}
		}

		System.out.print(list[n]);

	}

}