Problems > Fibonacci Prefix Sum

Fibonacci Prefix Sum

Difficulty: 1800 4000 ms 128 MB

math matrix-exponentiation

Print F(0)+F(1)+…+F(N) modulo 109+7, where F(0)=0, F(1)=1.

Input: one integer N.

Output: the prefix sum mod 109+7.

Constraints:

  • 0 ≤ N ≤ 1018

Sample Tests

Input 1
5
Output 1
12
Input 2
0
Output 2
0

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