Data Structures and Algorithms · Unit 5
Recursion and Advanced Techniques
Exam-focused notes for Recursion and Advanced Techniques (Data Structures and Algorithms, BIT201): what the TU syllabus asks and how it has actually been tested, with 6 solved past questions from this unit.
What this unit covers
- Recursion definition and benefits
- Limitations of recursion
- Stack usage in recursion
- Tower of Hanoi algorithm and tracing
- Recursive Fibonacci number calculation
- Recursive algorithm design
Limitations of recursion
List the limitation of recursion. How do you delete the node in BST? [2+3]
--- 1. Stack Overflow: Each recursive call uses stack memory. For deep recursion (large input), the call stack may overflow, causing program crash. 2. High Memory Usage: Every function call requires stack frame allocation (for parameters, local variables, r...
Full solved answer →Tower of Hanoi algorithm and tracing
Define recursion. Explain Tower of Hanoi (TOH) with example. [5]
Recursion is a programming technique in which a function calls itself directly or indirectly to solve a problem. A recursive function solves a problem by breaking it down into smaller subproblems of the same type until it reaches a base case (terminating co...
Full solved answer →Define recursion. Explain Tower of Hanoi algorithm in detail. [5]
Recursion is a programming technique in which a function calls itself directly or indirectly to solve a problem. A recursive function solves a problem by breaking it down into smaller subproblems of the same type until it reaches a base case (terminating co...
Full solved answer →Define recursive algorithm. Write recursive TOH algorithm? [5]
A recursive algorithm is an algorithm that calls itself directly or indirectly to solve a problem by breaking it down into smaller subproblems of the same type. It must have: - Base case: A condition where the recursion stops (no further recursive call). - ...
Full solved answer →Stack usage in recursion
How stack is used in recursion? Explain different stack operations. Explain algorithm to convert an infix expression to postfix using stack.[10]
--- When a recursive function is called, the system uses an internal data structure called the call stack (or system stack) to manage function calls. Mechanism: - Every time a function calls itself recursively, the current state (local variables, parameters...
Full solved answer →Recursion definition and benefits
What are the benefits of using recursion? Write a recursive function to find nth Fibonacci number. [5]
1. Simplicity and Readability: Recursive solutions are often cleaner and easier to understand than their iterative counterparts, especially for problems that are naturally recursive (e.g., tree traversal, factorial). 2. Reduces Code Length: Complex problems...
Full solved answer →Make Unit 5 stick
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