Question

In C++, Do some research to find the definitions of single recursion, binary recursion, and multiple recursion. What kinds of problems lend themselves to these different forms of recursion? Please be as detailed as possible. Thank you!

Answer 1

What is Recursion?

In programming, recursion is a method in which a function calls itself a specified number of times to achieve the desired output. This implementation is known as Recursion whereas the function is called Recursive function and the call is called Recursive call. Example Fibonacci series problem, finding largest number in an Array, Factorial of a Number, etc.

Types of Recursion in C++

1. Single or Linear Recursion: In this type of recursion, function calls itself only once in a single call during the execution. Problems that need to implement only a single recursive call in the recursive function can be classified as a Single Recursion problem. Example, Factorial of a number (Please see the program below for better understanding)
2. Binary Recursion: In this type of recursion, function calls itself twice in a single call during the execution. Problems that need to implement two recursive calls in the recursive function can be classified as a Binary Recursion problem. Example, Fibonacci Series (Please see the program below for better understanding)
3. Multiple Recursion: This can be considered as a generalized form of the Binary recursion where function calls itself multiple times (two or more) in different calls during the execution. Problems that need to implement more than two recursive calls in the recursive function can be classified as a Multiple Recursion problem. Example, Tower of Hanoi