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.*;
public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    if(n == 0){
      System.out.println(2);
      return;
    }
    if(n == 1){
      System.out.println(1);
      return;
    }
    long ans0 = 2,ans1 = 1,ans2 = 0;
    for(int i = 2;i<=n;i++){
      ans2 = ans1 + ans0;
      ans0 = ans1;
      ans1 = ans2;
    }
    System.out.println(ans2);
  }
}