Recursion and Backtracking
π Data Structure and Algorithm
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Nov 05, 2025
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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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