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 <cstdio> 
typedef long long ll; 
int N;
ll L[87];
int main ()
{
scanf("%d",&N);
L[0]=2LL,L[1]=1LL;
for(int i=2;i<=N;i++) L[i]=L[i-2]+L[i-1]; 
printf("%lld\n",L[N]);
}