Lucas Numbers Modulo
The sequence obeys L(0)=2, L(1)=1 and L(n)=L(n−1)+L(n−2). Print f(N) modulo 109+7.
Input: one integer N.
Output: f(N) mod 109+7.
Constraints:
- 0 ≤ N ≤ 1018
Sample Tests
Input 1
5
Output 1
11
Input 2
0
Output 2
2
Input 3
1
Output 3
1
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