The Fibonacci numbers can be defined as follows:

• $F_0=0$
• $F_1=1$
• $F_n = F_{n-2}+F_{n-1}$

Your task is to calculate the value of $F_n$ for a given $n$.

Input

The only input line has an integer $n$.

Output

Print the value of $F_n$ modulo $10^9+7$.

Constraints

• $0 \le n \le 10^{18}$

Example

Input:

10

Output:

55