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Round Table


Problem Description

There is a party at Ram's house, he will be inviting A friends to his party.
There is round table at his house which has A+1 seats.
Among all those friends Shyam is Ram's best friend and Ram wants to sit with him.
Find the number of ways to sit such that Ram and Shayam will sit together.
Since this number can be very large take modulo 109 + 7.


Problem Constraints
1 <= A <= 105


Input Format
Given an integer A.


Output Format
Return an integer.


Example Input
Input 1:
A = 1

Input 2:

A = 2


Example Output
Output 1:
2

Output 2:

4


Example Explanation
Explanation 1:
Let the two people be
1 -> Ram
2 -> Shyam
Then the possible arrangements are {1, 2}, {2, 1}

Explanation 2:

Let the three people be
1 -> Ram
2 -> Shyam
3 -> Third friend
Then the possible arrangements are {1, 2, 3}, {3, 1, 2}, {2, 1, 3}, {3, 2, 1}


NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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