Sequence g=6a+5b (g0=0,g1=1)
The sequence has g(0)=0, g(1)=1 and g(n)=6g(n−1)+5g(n−2). Print g(N) modulo 109+7.
Input: one integer N.
Output: g(N) mod 109+7.
Constraints:
- 0 ≤ N ≤ 1018
Sample Tests
Input 1
5
Output 1
1861
Input 2
0
Output 2
0
Input 3
1
Output 3
1
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