#abc273a. [abc273_a]A Recursive Function
[abc273_a]A Recursive Function
Problem Statement
A function defined for non-negative integer satisfies the following conditions:
- ;
- for all positive integers .
Find .
Constraints
- is an integer such that .
Input
The input is given from Standard Input in the following format:
Output
Print the answer as an integer.
Sample Input 1
2
Sample Output 1
2
We have $f(2) = 2 \\times f(1) = 2 \\times 1 \\times f(0) = 2 \\times 1 \\times 1 = 2$.
Sample Input 2
3
Sample Output 2
6
We have .
Sample Input 3
0
Sample Output 3
1
Sample Input 4
10
Sample Output 4
3628800