Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

5

Sample Output 1

11

L_0=2

L_1=1

L_2=L_0+L_1=3

L_3=L_1+L_2=4

L_4=L_2+L_3=7

L_5=L_3+L_4=11

Thus, the 5-th Lucas number is 11.

Sample Input 2

86

Sample Output 2

939587134549734843

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

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

int main() {
  int N;
  cin >> N;
  int A = 2; int B = 1;
  if(N == 1)
    cout << 2 << endl;
  if(N == 2)
    cout << 1 << endl;
  if(N > 2){
    for(int i = 0; i < (N = 2); i++){
      if((i % 2) == 0){
        A += B;
      }else if((i % 2) == 1){
        B += A;
      }
    }
    if((N % 2) == 1)
    	cout << A << endl;
  	if((N % 2) == 0)
   	 cout << B << endl;
  } 
}