Podcast
Questions and Answers
What does the pop algorithm do when the stack is empty?
What does the pop algorithm do when the stack is empty?
- Returns an error message
- Stores the value of stack[top]
- Decrements top
- Returns nothing (correct)
The size of an array in C can be altered after its declaration.
The size of an array in C can be altered after its declaration.
False (B)
What is the base value when calculating the position of elements in an array?
What is the base value when calculating the position of elements in an array?
0
A static array allocates memory at __________ time.
A static array allocates memory at __________ time.
Match the following stack operations with their description:
Match the following stack operations with their description:
Which of the following statements is true regarding static arrays?
Which of the following statements is true regarding static arrays?
In the algorithm for Top, if there are elements in the stack, it returns the element at the index specified by top.
In the algorithm for Top, if there are elements in the stack, it returns the element at the index specified by top.
What does the isEmpty function return if the top index is less than 1?
What does the isEmpty function return if the top index is less than 1?
What does the last node in a linked list point to?
What does the last node in a linked list point to?
Reversing a linked list is possible for cycled linked lists.
Reversing a linked list is possible for cycled linked lists.
What is the time complexity of reversing a linked list using a stack?
What is the time complexity of reversing a linked list using a stack?
The factorial of 6 is equal to ____.
The factorial of 6 is equal to ____.
Which of the following is a characteristic of a stack?
Which of the following is a characteristic of a stack?
Match the following descriptions with their terms:
Match the following descriptions with their terms:
What is the maximum number of children a node in a binary tree can have?
What is the maximum number of children a node in a binary tree can have?
An empty linked list can be reversed.
An empty linked list can be reversed.
In a full binary tree, all internal nodes must have either one child or two children.
In a full binary tree, all internal nodes must have either one child or two children.
What is the base case for the Tower of Hanoi algorithm?
What is the base case for the Tower of Hanoi algorithm?
What formula gives the number of internal nodes in a full binary tree with n total nodes?
What formula gives the number of internal nodes in a full binary tree with n total nodes?
What is the initial action taken when reversing a linked list?
What is the initial action taken when reversing a linked list?
The minimum number of nodes possible at the height h of a binary tree is given by ____.
The minimum number of nodes possible at the height h of a binary tree is given by ____.
The nth disk is always moved before the n-1 disks in the Tower of Hanoi algorithm.
The nth disk is always moved before the n-1 disks in the Tower of Hanoi algorithm.
What is the purpose of the auxiliary peg in the Tower of Hanoi problem?
What is the purpose of the auxiliary peg in the Tower of Hanoi problem?
Which of the following is true about the height of a binary tree with L leaf nodes?
Which of the following is true about the height of a binary tree with L leaf nodes?
Match the types of binary trees with their descriptions:
Match the types of binary trees with their descriptions:
The algorithm requires moving disks from the source peg to the destination peg using the __________ peg as a temporary holding area.
The algorithm requires moving disks from the source peg to the destination peg using the __________ peg as a temporary holding area.
In a binary tree, the number of nodes at each level doubles as you move down the tree.
In a binary tree, the number of nodes at each level doubles as you move down the tree.
Match the following steps of the Tower of Hanoi algorithm to their descriptions:
Match the following steps of the Tower of Hanoi algorithm to their descriptions:
What is the relationship between the number of leaf nodes (L) in a full binary tree with respect to its height?
What is the relationship between the number of leaf nodes (L) in a full binary tree with respect to its height?
In the pseudocode, what occurs when the function TowerOfHanoi is called with n=1?
In the pseudocode, what occurs when the function TowerOfHanoi is called with n=1?
The Tower of Hanoi algorithm requires that no disk is placed on top of a smaller disk.
The Tower of Hanoi algorithm requires that no disk is placed on top of a smaller disk.
Describe the first action taken by the Tower of Hanoi algorithm when n > 1.
Describe the first action taken by the Tower of Hanoi algorithm when n > 1.
What is the primary function of the Bubble Sort algorithm?
What is the primary function of the Bubble Sort algorithm?
Bubble Sort requires additional memory space for sorting.
Bubble Sort requires additional memory space for sorting.
What is the time complexity of Bubble Sort?
What is the time complexity of Bubble Sort?
In Bubble Sort, if the current element is greater than the next element, we __________.
In Bubble Sort, if the current element is greater than the next element, we __________.
Match the following characteristics with their respective sorting algorithm:
Match the following characteristics with their respective sorting algorithm:
How many iterations are needed to sort a list of size n using Bubble Sort?
How many iterations are needed to sort a list of size n using Bubble Sort?
In Bubble Sort, the smallest element gets bubbled to the top in every iteration.
In Bubble Sort, the smallest element gets bubbled to the top in every iteration.
What happens to elements with the same key value during Bubble Sort?
What happens to elements with the same key value during Bubble Sort?
What action is taken when deleting the first node of a circular linked list with multiple nodes?
What action is taken when deleting the first node of a circular linked list with multiple nodes?
In a circular linked list, if the list is empty, we can still delete a node.
In a circular linked list, if the list is empty, we can still delete a node.
What should be done if the key matches the single node in a circular linked list?
What should be done if the key matches the single node in a circular linked list?
To delete the last node in a circular linked list, we must first find the __________ node.
To delete the last node in a circular linked list, we must first find the __________ node.
Match the deletion tasks with their corresponding actions:
Match the deletion tasks with their corresponding actions:
What is returned after deleting a node from a circular linked list?
What is returned after deleting a node from a circular linked list?
If a circular linked list has only one node and that node is deleted, the last pointer is set to a valid node.
If a circular linked list has only one node and that node is deleted, the last pointer is set to a valid node.
Searching in a circular linked list involves starting at a given node and __________ until the target value is found.
Searching in a circular linked list involves starting at a given node and __________ until the target value is found.
Flashcards
Array
Array
A data structure that stores a collection of elements of the same data type in contiguous memory locations.
Static Array
Static Array
An array where the size is fixed and cannot be changed after creation.
Stack
Stack
A data structure that follows the Last-In-First-Out (LIFO) principle, where the last element added is the first one removed.
pop (Stack)
pop (Stack)
Signup and view all the flashcards
Top (Stack)
Top (Stack)
Signup and view all the flashcards
isEmpty (Stack)
isEmpty (Stack)
Signup and view all the flashcards
push (Stack)
push (Stack)
Signup and view all the flashcards
top (Stack index)
top (Stack index)
Signup and view all the flashcards
Binary Tree
Binary Tree
Signup and view all the flashcards
Depth of a Binary Tree
Depth of a Binary Tree
Signup and view all the flashcards
Height of a Binary Tree
Height of a Binary Tree
Signup and view all the flashcards
Full Binary Tree
Full Binary Tree
Signup and view all the flashcards
Internal Nodes in Full Binary Tree
Internal Nodes in Full Binary Tree
Signup and view all the flashcards
Leaf Nodes in Full Binary Tree
Leaf Nodes in Full Binary Tree
Signup and view all the flashcards
Complete Binary Tree
Complete Binary Tree
Signup and view all the flashcards
Perfect Binary Tree
Perfect Binary Tree
Signup and view all the flashcards
Linked List
Linked List
Signup and view all the flashcards
Reversing a Linked List
Reversing a Linked List
Signup and view all the flashcards
Stack in Linked List Reversal
Stack in Linked List Reversal
Signup and view all the flashcards
Factorial
Factorial
Signup and view all the flashcards
Stack in Factorial Calculation
Stack in Factorial Calculation
Signup and view all the flashcards
Time Complexity: O(N)
Time Complexity: O(N)
Signup and view all the flashcards
Base Case (Tower of Hanoi)
Base Case (Tower of Hanoi)
Signup and view all the flashcards
Recursive Case (Tower of Hanoi)
Recursive Case (Tower of Hanoi)
Signup and view all the flashcards
Move n-1 Disks (Tower of Hanoi)
Move n-1 Disks (Tower of Hanoi)
Signup and view all the flashcards
Destination Peg
Destination Peg
Signup and view all the flashcards
Auxiliary Peg
Auxiliary Peg
Signup and view all the flashcards
Source Peg
Source Peg
Signup and view all the flashcards
Recursion
Recursion
Signup and view all the flashcards
Divide and Conquer
Divide and Conquer
Signup and view all the flashcards
Bubble Sort
Bubble Sort
Signup and view all the flashcards
Passes in Bubble Sort
Passes in Bubble Sort
Signup and view all the flashcards
Swap Operation
Swap Operation
Signup and view all the flashcards
Bubble Sort's Behavior
Bubble Sort's Behavior
Signup and view all the flashcards
Time Complexity of Bubble Sort
Time Complexity of Bubble Sort
Signup and view all the flashcards
Memory Space Complexity of Bubble Sort
Memory Space Complexity of Bubble Sort
Signup and view all the flashcards
Stability of Bubble Sort
Stability of Bubble Sort
Signup and view all the flashcards
Insertion Sort
Insertion Sort
Signup and view all the flashcards
Deleting the First Node in a Circular Linked List
Deleting the First Node in a Circular Linked List
Signup and view all the flashcards
Recursive Function to Count Nodes in a Linked List
Recursive Function to Count Nodes in a Linked List
Signup and view all the flashcards
Circular Linked List
Circular Linked List
Signup and view all the flashcards
Deleting a Specific Node in a Circular Linked List
Deleting a Specific Node in a Circular Linked List
Signup and view all the flashcards
Deleting the Last Node in a Circular Linked List
Deleting the Last Node in a Circular Linked List
Signup and view all the flashcards
Searching in a Circular Linked List
Searching in a Circular Linked List
Signup and view all the flashcards
Head Node in a Linked List
Head Node in a Linked List
Signup and view all the flashcards
Tail Node in a Linked List
Tail Node in a Linked List
Signup and view all the flashcards
Study Notes
Data Structure - "Stack"
- A data structure is a way of arranging data on a computer for efficient access and updating.
- Linear Data Structure: Data elements arranged sequentially, with each connected to its previous and next elements.
- Examples: Array, stack, queue, linked list.
- Static Data Structure: Fixed memory size. Easier to access elements.
- Example: Array
- Dynamic Data Structure: Size not fixed. Can be updated randomly during runtime. Efficient memory usage.
- Examples: Queue, stack
- Non-linear Data Structure: Data elements not arranged sequentially. Not traversed in a single run.
- Examples: Trees, graphs
- Stack: Linear data structure where insertion and removal of elements happen at the same end (top of the stack).
- Follows LIFO (Last-In, First-Out) principle.
Introduction to Stack
- The element inserted last is the first one to be removed.
- To implement a stack, maintain a pointer to the top of the stack.
- Key Differences between Arrays and Stacks
- Stacks are limited-access data structures.
- Arrays don't have the LIFO principle.
Stack Operations
- push(): Adds an element to the top of the stack.
- pop(): Removes an element from the top of the stack.
- top(): Returns the top element of the stack without removing it.
- isEmpty(): Checks if the stack is empty.
- size(): Returns the number of elements in the stack.
Classification of Data Structures
- Static
- Dynamic
- Linear
- Non-linear
Algorithm for Push Operation
- Check if the stack is full.
- If it is full, then it's a stack overflow.
- Otherwise, increment top(top = top + 1) and insert the new value at the top position.
- Continue pushing elements until the stack capacity is reached.
Algorithm for Pop Operation
- Check if the stack is empty.
- If it's empty, then it's a stack underflow.
- Otherwise, take the value at the top.
- Decrement the top (top = top - 1).
- Return the value that was stored at the top.
Types of Stacks
- Fixed Size Stack
- Dynamic Size Stack
Algorithm for isFull Operation
- Check if the top equals capacity - 1
- If true, return true, otherwise, return false
Algorithm for isEmpty Operation
- Check if top equals -1
- If true, return true, otherwise, return false
Algorithm for Top Operation
- Check if the stack is empty.
- If it is empty, print "Stack is empty".
- Otherwise, return the element stored at index top.
Array
- Collection of elements of the same data type stored at contiguous memory locations.
- Position of each element calculated with an offset to a base value.
- Base value is index 0.
- Size is fixed in C language - cannot be changed after creation. (Static Array)
Types of Arrays
- Static Array
- Dynamic Array
Implementation of Stack Using Array
- Initialize an array.
- Treat one end of the array as the top of the stack.
- Implement push, pop, peer operations.
Advantages of Array Implementation
- Easy to implement
- Memory is saved
Disadvantages of Array Implementation
- Not dynamic - size is fixed at compile time.
Trees
- Hierarchical data structure composed of nodes.
- Topmost node is the root.
- Nodes below are child nodes.
- Child nodes can have multiple child nodes, forming a recursive structure.
Technical Definition of a Tree
- A connected acyclic undirected graph.
- One unique path between any node pairs.
- Number of vertices (n) - 1 = number of edges
Properties of a Tree
- Number of edges: A tree with N nodes has N - 1 edges.
- Depth of a node: The number of edges in the path from the root to the node.
- Height of a node: The length of the longest path from the node to a leaf node in the tree.
- Height of the Tree: Length of the longest path from the root to a leaf.
- Degree of a node: The number of children of a node. A leaf node has a degree of 0.
Types of Trees
- Binary Tree
- Ternary Tree
- N-ary Tree (Generic Tree)
Properties of Binary Tree
- Each node can have a maximum of two children.
- Full binary tree has either 0 or 2 children for each internal node
- Complete binary tree has elements in a sequential manner.
- Perfect Binary Tree: All internal nodes have exactly two children; all leaf nodes are at the same level.
- Degenerate Binary tree each node can have a maximum of one child.
Balanced Binary Tree
- Height of left and right subtree differ by 0 or 1
Application of Tree Data Structure
- File Systems
- Data Compression
- Compiler Design
- Database Indexing
Graph
- Non-linear data structure consisting of vertices and edges.
- Vertices (nodes)
- Edges (line/arcs) connecting vertices
Graph Representations
- Adjacency Matrix
- Adjacency List
Adjacency Matrix
- 2D matrix (n x n)
- 1 indicates an edge, 0 if no edge.
Adjacency List
- Array of lists.
- Each index represents a vertex
- Contains a list of adjacent vertices for that vertex.
Breadth-First Search (BFS)
- Traverses a graph level-by-level.
- Uses a queue data structure.
- Processes all the nodes at a level before moving to the next level.
- Ensures that each vertex is visited once.
Depth First Search (DFS)
- Explores the graph as deeply as possible along each branch before backtracking to other branches.
- Uses a stack data structure.
- Nodes are processed in a LIFO (last-in-first-out) manner.
Applications of BFS
- Finding Shortest Path
- Peer-to-peer networks
- Web Crawling
- Garbage collection
- Computing maximum flow
Applications of DFS
- Topological sorting
- Cycle detection
- Solving puzzles
- Bipartite check
Priority Queue
- A data structure that maintains elements in a way that the element with the highest priority is removed first.
- Useful in cases where elements need to be processed based on their priority.
Types of Priority Queue
- Ascending Order Priority Queue
- Descending Order Priority Queue
Operations of Priority Queue
- enQueue: Inserting an element into a priority queue.
- deQueue: Removing the highest priority element from a priority queue.
- peek: Getting the highest priority element without removing it.
Definitions
- Graph: A graph is a data structure that consists of vertices (or nodes) and edges connecting pairs of vertices. Graphs can be used to model many real world problems (e.g. social networks, road maps, etc.)
- Vertex: A vertex, also known as a node, is a fundamental unit of a graph. It is often represented as a point, circle or a labeled entity.
- Edge: An edge is a connection/link between two vertices
- Directed Graph: In a directed graph, the edges are oriented; they specify a direction of traverse between the vertices.
- Undirected Graph: In an undirected graph edges are not oriented, there is no direction of traverse.
Dijkstra's Algorithm
- Finds the shortest path between a source vertex and all other vertices in a graph.
Kruskal's Algorithm
- Finds the minimum spanning tree (MST).
Hashing
- Process of generating a value from text using a hash function.
- Maps a significant number or string to a small integer.
- The hash value can be used to locate data quickly in a hash table.
Types of Hash Function
- Division
- Mid-square
Collision Resolution Techniques
- Separate Chaining (Open Hashing)
- Open Addressing (Closed Hashing): Linear probing, Quadratic probing, and Double hashing.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Test your knowledge on fundamental concepts of data structures with this quiz. It covers topics like stacks, linked lists, and binary trees, providing a mix of theoretical and practical questions. Challenge yourself and see how well you understand these crucial programming concepts!