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.io.IOException;
import java.util.Arrays;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) throws IOException {

		Scanner in = new Scanner(System.in);
		int n = in.nextInt();
		long[] l = new long[87];
		Arrays.fill(l, -1);

		l[0] = 2;
		l[1] = 1;
		for (int i = 2; i <= n; i++) {
			l[i] = l[i-1] + l[i-2];
		}
		System.out.println(l[n]);

	}

}