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Problems > Sequence h=5a+6b (h0=0,h1=1)

Sequence h=5a+6b (h0=0,h1=1)

Difficulty: 1700 4000 ms 128 MB

math matrix-exponentiation

The sequence has h(0)=0, h(1)=1 and h(n)=5h(n−1)+6h(n−2). Print h(N) modulo 109+7.

Input: one integer N.

Output: h(N) mod 109+7.

Constraints:

  • 0 ≤ N ≤ 1018

Sample Tests

Input 1
5
Output 1
1111
Input 2
0
Output 2
0
Input 3
1
Output 3
1

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