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 CPP):

Solution:
#include<bits/stdc++.h>
using namespace std;

int main(){
int a;
 cin>>a;
vector<long long>b(a+1);
  b[0]=2;
  b[1]=1;
  for(int i=0;i<a-1;i++){
    b[i+2]=b[i]+b[i+1];
  }
  cout<<b[a]<<endl;
}