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Recursion

53 Recursion interview questions

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Understanding Recursion


  • 1.

    How Dynamic Programming is different from Recursion and Memoization?

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  • 2.

    What are some Common Examples of Recursion in computer science?

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  • 3.

    What is the difference between Backtracking and Recursion?

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  • 4.

    Define Base Case in the context of recursive functions.

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  • 5.

    Explain the concept of Recursion Depth and its implications on algorithm complexity.

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  • 6.

    How does the Call Stack operate in recursive function calls?

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  • 7.

    Are there any safety considerations when determining the Recursion Depth? If yes, provide an example.

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Recursive Algorithms


  • 8.

    Explain the Depth-First Search algorithm.

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  • 9.

    Implement a Recursive Algorithm to perform a Binary Search.

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  • 10.

    Solve the Tower of Hanoi problem recursively.

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  • 11.

    Recursively Check for Palindromes in a string.

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  • 12.

    Explain the process of performing a recursive In-order Tree Traversal.

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Tail Recursion


  • 13.

    Calculate N-th Fibonacci Number using Tail Recursion.

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  • 14.

    Discuss how Tail Recursion can be optimized by compilers and its benefits.

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  • 15.

    What is the difference between Head Recursion and Tail Recursion?

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  • 16.

    Use Tail Recursive function to calculate the Factorial of a number.

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  • 17.

    Can Tail Recursion be more efficient than non-tail recursion? Explain with an example.

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Converting Recursive to Iterative


  • 18.

    Is it always possible to write a Non-Recursive form for every Recursive function?

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  • 19.

    Convert the given Recursive Function into an Iterative Function.

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  • 20.

    Describe how to simulate the recursive QuickSort algorithm iteratively.

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  • 21.

    Convert a recursive Depth-First Search to an iterative approach using a Stack.

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Recursive Problems in Data Structures


  • 22.

    Convert a Binary Tree into a Doubly Linked List.

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  • 23.

    Reverse a Linked List recursively.

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  • 24.

    Sort a Stack using Recursion.

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  • 25.

    Implement a recursive algorithm to Find the Lowest Common Ancestor in a BST.

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  • 26.

    Solve the problem of recursively Flattening a Multilevel Doubly Linked List.

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  • 27.

    How would you recursively Serialize and Deserialize a Binary Tree?

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Fundamental Recursive Problems


  • 28.

    Calculate the N-th value of the Fibonacci Sequence recursively.

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  • 29.

    Write a recursive function to calculate Sum of Digits in a number.

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  • 30.

    Implement Merge Sort recursively.

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  • 31.

    Implement a recursive function to Print all Permutations of a given string.

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  • 32.

    Generate all Balanced Parentheses using a recursive approach.

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Advanced Recursive Problems


  • 33.

    Use recursive approach to solve the Skyline Problem.

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  • 34.

    Implement a recursive backtracking solution for the Sudoku Solver problem.

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  • 35.

    Find the K-th Order Statistic in an unsorted list using a recursive strategy.

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  • 36.

    Use a recursive algorithm to detect a Cycle in an Undirected Graph.

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  • 37.

    Find All Possible Full Binary Trees with N nodes recursively.

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Recursion in Algorithms Design


  • 38.

    Explain how Divide and Conquer is a form of recursion and give examples.

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  • 39.

    Use recursion to solve the Longest Common Subsequence problem.

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  • 40.

    Define the role of recursion in the design of Greedy Algorithms.

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  • 41.

    How is recursion utilized in the Backtracking paradigm for algorithm design?

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  • 42.

    Illustrate the use of recursion in Dynamic Programming with an example problem.

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Optimization in Recursive Functions


  • 43.

    Define Memoization and explain how it optimizes recursive solutions.

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  • 44.

    What’s the impact of Stack Overflow in recursive algorithms and how is it avoided?

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  • 45.

    Discuss Space Complexity and how it relates to iterative vs. recursive solutions.

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  • 46.

    Explain Tail Call Optimization (TCO) and its support in various programming languages.

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  • 47.

    Implement a recursive algorithm with an explicit Manual Stack to avoid Stack Overflow.

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Tricky Recursive Cases and Handling


  • 48.

    How to handle negative input cases in a recursive Absolute Value function?

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  • 49.

    Solve the problem of computing all possible combinations of well-formed m-n pairs recursively.

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  • 50.

    Discuss strategies to visually debug recursive functions.

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  • 51.

    Recursively determine if a Graph is Connected.

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  • 52.

    Recursively implement a Regular Expression Matcher.

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Recursion Theory Questions


  • 53.

    Explain the relationship between Recursion and Lambda Calculus.

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