PROGRAMMING:Surplus
We define n= 1$$*$$2$$*$$...$$*$$(n-1)$$*$$n，s = 1$$*$$1! + 2$$*$$2! + ...+( n-1)$$*$$(n-1)!， Find s mod n (mod is the remainder operation).
###Input format:
Input a positive integer n in one line, 2 ≤ n ≤ 10 $$^ {18} $$.
###Output format:
For input n, output the result of s mod n.
###Input example:
```in
three
```
###Output example:
```out
two
```
answer：If there is no answer, please comment
###Input format:
Input a positive integer n in one line, 2 ≤ n ≤ 10 $$^ {18} $$.
###Output format:
For input n, output the result of s mod n.
###Input example:
```in
three
```
###Output example:
```out
two
```
answer：If there is no answer, please comment