Given a positive number n, the factorial of that number, denoted n!, is equal to 1 x 2 x ... (n - 1) x n. Assuming that n is greater than zero and less than 12, complete the program named Factorial below, so that it computes the value of n! for any positive n less than 12.

Input: n, the integer value for which n! is to be computed.
Output: n! -- the factorial of n

Complete the following file:

Factorial.java

import java.util.Scanner; /** Computes n! = 1 x 2 x ... (n - 1) x n, given n. We assume n is greater than zero and less than 12. Input: n, the integer value for which n! is to be computed. Output: n! -- the factorial of n */ public class Factorial { public static void main(String[] args) { // Read value for n Scanner in = new Scanner(System.in); int n = in.nextInt(); // your work here System.out.println(factorial); } }