Write a Non tail recursion and a tail recursion method in Java with a test class that does the following: The factorial of a positive integer n —which we denote as n!—is the product of n and the factorial of n 1. The factorial of 0 is 1. Write two different recursive methods in Java that each return the factorial of n. Please and Thank you

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Write a Non tail recursion and a tail recursion method in Java with a test class that does the following:

The factorial of a positive integer n —which we denote as n!—is the product of n and the factorial of n 1. The factorial of 0 is 1. Write two different recursive methods in Java that each return the factorial of n.

Please and Thank you

Expert Solution
Step 1: Non-Tail Recursion Method

Certainly! Here are two different recursive methods in Java to calculate the factorial of a positive integer n, one using non-tail recursion and the other using tail recursion. I'll also provide a test class to demonstrate their usage:

  1. Non-Tail Recursion Method:

public class FactorialCalculator {

    // Non-tail recursion method
    public static long calculateFactorial(int n) {
        if (n == 0) {
            return 1; // Base case: 0! = 1
        } else {
            return n * calculateFactorial(n - 1); // Recursive case
        }
    }
}

public class FactorialTest {
    public static void main(String[] args) {
        int n = 5; // Example: Calculate 5!
        
        long result = FactorialCalculator.calculateFactorial(n);
        
        System.out.println(n + "! = " + result); // Output: 5! = 120
    }
}

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