Applications of Recursion
Recursion has many applications in computer science and programming. Here are some of the most common applications of recursion:
- Solving: Fibonacci sequences, Factorial Function, Reversing an array, Tower of Hanoi.
- Backtracking: It is a technique for solving problems by trying out different solutions and undoing them if they do not work. Recursive algorithms are often used in backtracking.
- Searching and Sorting Algorithms: Many searching and sorting algorithms, such as binary search and quicksort, use recursion to divide the problem into smaller sub-problems.
- Tree and Graph Traversal: Recursive algorithms are often used to traverse trees and graphs, such as depth-first search and breadth-first search.
- Mathematical Computations: Recursion is also used in many mathematical computations, such as the factorial function and the Fibonacci sequence.
- Dynamic Programming: It is a technique for solving optimization problems by breaking them down into smaller sub-problems. Recursive algorithms are often used in dynamic programming.
Overall, recursion is a powerful and versatile technique that can be used to solve a wide range of problems in programming and computer science.
C++ Recursion
Assume that you have to paint a few balls. If you do it alone, it will take a lot of time. One thing you can do is to take help from your friend. Assuming that you have the same work speed, the task will be done in half of the time. Now, instead of taking help from only one of your friends, you take help from multiple friends such that each friend have only one ball to paint. The task will be done much faster as compared to when you were doing it alone. Recursion is a problem-solving technique that works in a similar way.