Problems > Fibonacci, Astronomically

Fibonacci, Astronomically

Difficulty: 1800 2000 ms 128 MB

math

Print F(N) mod 109+7 where F(0)=0, F(1)=1 — and N is up to 1018, so linear iteration is hopeless.

Input: one integer N.

Output: F(N) mod 109+7.

Constraints:

  • 0 ≤ N ≤ 1018

Sample Tests

Input 1
10
Output 1
55
Input 2
0
Output 2
0

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