Podcast
Questions and Answers
Recursion is a method in which the solution of a problem depends on:
Recursion is a method in which the solution of a problem depends on:
- Smaller instances of the same problem (correct)
- Larger instances of different problems
- Smaller instances of different problems
- Larger instances of the same problem
The number of nodes in a full binary tree at level 'L' is:
The number of nodes in a full binary tree at level 'L' is:
- $2^{L-1}$ (correct)
- $2^{L+1} - 1$
- 2
- $2^{L} - 1$
A queue follows the Last In First Out (LIFO) principle.
A queue follows the Last In First Out (LIFO) principle.
False (B)
What is the purpose of a hash function?
What is the purpose of a hash function?
The minimum possible height of a binary tree with 13 nodes is ___.
The minimum possible height of a binary tree with 13 nodes is ___.
Which of the following data structures is more appropriate for implementing quick sort iteratively?
Which of the following data structures is more appropriate for implementing quick sort iteratively?
Which of the following data structures permits insertion and deletion operations only on one end?
Which of the following data structures permits insertion and deletion operations only on one end?
Match the following concepts with their definitions:
Match the following concepts with their definitions:
The goal of hashing is to produce a search that takes:
The goal of hashing is to produce a search that takes:
Which of the following data structures is linear type?
Which of the following data structures is linear type?
What is the time complexity of bubble sort in the best case?
What is the time complexity of bubble sort in the best case?
The time complexity of bubble sort in the worst case is O(n^2).
The time complexity of bubble sort in the worst case is O(n^2).
Differentiate between Linear and Non-Linear data structures.
Differentiate between Linear and Non-Linear data structures.
In row major order, the index of an element is calculated using ______ and its row and column indices.
In row major order, the index of an element is calculated using ______ and its row and column indices.
Match the following algorithms with their primary operations:
Match the following algorithms with their primary operations:
Which of the following is NOT a characteristic of a stack?
Which of the following is NOT a characteristic of a stack?
In a circular queue, the end of the queue wraps around to the front.
In a circular queue, the end of the queue wraps around to the front.
What is a sparse matrix?
What is a sparse matrix?
The algorithm for quick sort has a time complexity of ______ on average.
The algorithm for quick sort has a time complexity of ______ on average.
Explain how to convert the infix expression (A + B * C) / (D - E) + F to postfix form.
Explain how to convert the infix expression (A + B * C) / (D - E) + F to postfix form.
Flashcards
Recursion
Recursion
A method where a problem's solution is defined in terms of smaller instances of the same problem.
Nodes in a Full Binary Tree
Nodes in a Full Binary Tree
In a full binary tree, the number of nodes at level 'L' (starting from level 0) is 2L.
Data Structure for Iterative Quick Sort
Data Structure for Iterative Quick Sort
The data structure most suitable for implementing Quick Sort iteratively is a stack.
Goal of Hashing
Goal of Hashing
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Completeness in Search
Completeness in Search
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Time Complexity
Time Complexity
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Space Complexity
Space Complexity
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Linear Data Structure
Linear Data Structure
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Push Operation in Array-Based Stack
Push Operation in Array-Based Stack
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Stack Data Structure
Stack Data Structure
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Array Data Structure
Array Data Structure
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Linked List
Linked List
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Stack
Stack
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Queue
Queue
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Circular Linked List
Circular Linked List
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Deque (Double-Ended Queue)
Deque (Double-Ended Queue)
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Array
Array
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Bubble Sort
Bubble Sort
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Insertion Sort
Insertion Sort
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Quick Sort
Quick Sort
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Study Notes
Data Structures and Algorithms Exam Notes
- Recursion: A method where the solution to a problem relies on smaller instances of the same problem.
- Full Binary Tree Nodes: The number of nodes at level 'L' (starting with 0) in a full binary tree is 2L.
- Data Structure for Quick Sort: A stack is a suitable data structure for implementing quick sort iteratively.
- Hashing Goal: Hashing aims to achieve constant time (O(1)) for search operations.
- Completeness/Time/Space Complexity:
- Completeness – Whether a strategy guarantees finding a solution if one exists.
- Time Complexity – The time taken for an algorithm to complete.
- Space Complexity – The memory required by an algorithm.
- Linear Data Structure: An array is a linear data structure.
- Stack Push Algorithm: When pushing an item onto a stack, you first add the item to the top location, then increment the top pointer.
- Stack/Queue Operations: A stack operates on a Last-In, First-Out (LIFO) principle, whereas a queue follows First-In, First-Out (FIFO).
- Hash Function: A hash function maps keys to their locations in an array.
- Binary Tree Height: The minimum height of a binary tree with 13 nodes is 4.
- Bubble Sort Best Case Complexity: O(n)
- Linear vs. Non-Linear Data Structures: Linear data structures like arrays, linked lists, and stacks have elements arranged sequentially. Non-linear data structures like trees and graphs have more complex relationships between elements.
- Row/Column Major Array Indices: How array elements are stored in memory. Row major stores row by row, and column major column by column. Index calculation depends on the method.
- Postfix Expression Evaluation: Algorithm to evaluate an expression written in postfix notation using a stack.
- Circular Queue Overflow/Underflow: Conditions to check for whether a circular queue is full or empty, as it's implemented in a circular array.
- Stack Applications: Stacks are frequently used in function calls, undo/redo operations, and expression evaluation.
- Postfix Expression Evaluation (Example): Evaluate expressions like 56 2 + *124/- by showing stack manipulation steps and final output.
- Static vs. Dynamic Memory Allocation: Static memory is allocated at compile time, whereas dynamic memory allocation happens during program execution.
- Sparse Matrix: A matrix with a large number of zero elements.
- Polynomial Addition: Algorithm to add two polynomials.
- Doubly Linked Lists: Data structure with nodes that have pointers to both the next and previous nodes.
- Stack vs. Queue: Key differences explaining how they process and structure elements.
- Stack Implementation using Linked List: Algorithm describing a stack's structure and operations using a linked list.
- Infix to Postfix Conversion: Convert infix expressions using a stack to postfix notation.
- Quick Sort Complexity: Algorithm and time complexity of quick sort, along with examples.
- Insertion Sort: Algorithm and examples of insertion sort.
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