Recursion and Backtracking

๐Ÿ“˜ Data Structure and Algorithm ๐Ÿ‘ 171 views ๐Ÿ“… Nov 05, 2025
โฑ Estimated reading time: 1 min

Recursion in Data Structures

Recursion is a programming technique where a function calls itself to solve smaller instances of the same problem.

Working Principle

Recursion works on the concept of breaking a problem into smaller subproblems until a base condition is met.

Structure

void recursiveFunction() {
    // Base condition
    if (condition)
        return;

    // Recursive call
    recursiveFunction();
}

Example: Factorial of a Number

int factorial(int n) {
    if (n == 0)
        return 1;
    return n * factorial(n - 1);
}

Advantages

  • Reduces code size and complexity.
  • Natural for problems like tree traversal and backtracking.

Disadvantages

  • Consumes more memory due to stack calls.
  • May lead to stack overflow if base case is missing.

Applications

  • Tree traversals
  • Factorial, Fibonacci, and Tower of Hanoi problems
  • Searching and sorting algorithms

Conclusion

Recursion provides an elegant solution for divide-and-conquer problems but must be used carefully to avoid memory issues.


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