Java Recursion

In Java, a method that calls itself is known as a recursive method. And, this process is known as recursion.

A physical world example would be to place two parallel mirrors facing each other. Any object in between them would be reflected recursively.


How Recursion works?

A function is calling itself
Working of Java Recursion

In the above example, we have called the recurse() method from inside the main method (normal method call). And, inside the recurse() method, we are again calling the same recurse method. This is a recursive call.

In order to stop the recursive call, we need to provide some conditions inside the method. Otherwise, the method will be called infinitely.

Hence, we use the if...else statement (or similar approach) to terminate the recursive call inside the method.


Example: Factorial of a Number Using Recursion

class Factorial {

    static int factorial( int n ) {
        if (n != 0)  // termination condition
            return n * factorial(n-1); // recursive call
        else
            return 1;
    }

    public static void main(String[] args) {
        int number = 4, result;
        result = factorial(number);
        System.out.println(number + " factorial = " + result);
    }
}

Output:

4 factorial = 24

In the above example, we have a method named factorial(). The factorial() is called from the main() method with the number variable passed as an argument.

Here, notice the statement,

return n * factorial(n-1);

The factorial() method is calling itself. Initially, the value of n is 4 inside factorial(). During the next recursive call, 3 is passed to the factorial() method. This process continues until n is equal to 0.

When n is equal to 0, the if statement returns false hence 1 is returned. Finally, the accumulated result is passed to the main() method.


Working of Factorial Program

The image below will give you a better idea of how the factorial program is executed using recursion.

Finding the factorial of a number using recursion
Factorial Program using Recursion

Advantages and Disadvantages of Recursion

When a recursive call is made, new storage locations for variables are allocated on the stack. As, each recursive call returns, the old variables and parameters are removed from the stack. Hence, recursion generally uses more memory and is generally slow.

On the other hand, a recursive solution is much simpler and takes less time to write, debug and maintain.

Before we wrap up, let’s put your knowledge of Java Recursion to the test! Can you solve the following challenge?

Challenge:

Write a function to calculate the factorial of a number.

  • The factorial of a non-negative integer n is the product of all positive integers less than or equal to n.
  • Return the factorial of the input number num.
  • For example, if num = 5, the output should be 120.
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