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CSES Problem Set

Christmas Party


Task | Statistics


CSES - Christmas PartyCSES - Christmas Party

Time limit:1.00 s Memory limit:512 MB

There are $n$ children at a Christmas party, and each of them has brought a gift. The idea is that everybody will get a gift brought by someone else.

In how many ways can the gifts be distributed?

Input

The only input line has an integer $n$: the number of children.

Output

Print the number of ways modulo $10^9+7$.

Constraints
Example

Input:
4

Output:
9