Data Structures and Algorithm Analysis in C++

Data Structures Through C - Third Edition Exam Questions with Answers Algorithm Analysis - Correct Answers: Evaluating efficiency of algorithms based on performance. Asymptotic Notation - Correct Answers: Mathematical notation for describing algorithm growth rates. Time Complexity - Correct Answers: Quantitative measure of algorithm execution time. Arrays - Correct Answers: Collection of elements stored at contiguous memory locations. Two-Dimensional Arrays - Correct Answers: Arrays organized in rows and columns format. Sparse Matrices - Correct Answers: Matrices predominantly filled with zero values. Linked List - Correct Answers: Data structure consisting of nodes connected by pointers. Stack - Correct Answers: LIFO data structure for storing elements. Queue - Correct Answers: FIFO data structure for managing elements. Binary Tree - Correct Answers: Tree structure where each node has at most two children. Binary Search Tree - Correct Answers: Binary tree with ordered nodes for efficient searching. Graph - Correct Answers: Collection of vertices connected by edges. Depth First Search - Correct Answers: Traversal method exploring as far down a branch. Breadth First Search - Correct Answers: Traversal method exploring all neighbors before deeper nodes. Dijkstra's Algorithm - Correct Answers: Algorithm for finding shortest paths in weighted graphs. Sorting Algorithms - Correct Answers: Methods for arranging elements in a specific order. Bubble Sort - Correct Answers: Simple sorting algorithm comparing adjacent elements. Merge Sort - Correct Answers: Divide and conquer algorithm for sorting elements. Heap Sort - Correct Answers: Sorting algorithm using a binary heap data structure. Linear Search - Correct Answers: Sequential search method checking each element. Binary Search - Correct Answers: Efficient search method on sorted arrays. AVL Trees - Correct Answers: Self-balancing binary search trees for efficient operations. Kruskal's Algorithm - Correct Answers: Algorithm for finding minimum spanning trees in graphs. Prim's Algorithm - Correct Answers: Algorithm for constructing minimum spanning trees from graphs. Topological Sorting - Correct Answers: Ordering of vertices in a directed acyclic graph. Polynomial Multiplication - Correct Answers: Combining polynomials using array representations. Deque - Correct Answers: Double-ended queue allowing insertion/removal from both ends. Priority Queue - Correct Answers: Queue where elements are processed based on priority. Algorithm - Correct Answers: Sequence of instructions for problem-solving. Input - Correct Answers: Data supplied externally to an algorithm. Output - Correct Answers: Result produced by an algorithm. Finiteness - Correct Answers: Algorithm must terminate in finite steps. Definiteness - Correct Answers: Steps in an algorithm must be clear. Effectiveness - Correct Answers: Steps must be executable without intelligence. Time Analysis - Correct Answers: Evaluating algorithms based on execution time. Space Analysis - Correct Answers: Evaluating algorithms based on memory usage. Prominent Operations - Correct Answers: Key operations that determine algorithm efficiency. Growth Rate - Correct Answers: Rate at which operation count increases with input size. Significant Operations - Correct Answers: Operations that consume the most time in algorithms. Comparison Operations - Correct Answers: Operations that compare values in algorithms. Arithmetic Operations - Correct Answers: Operations involving calculations like addition or multiplication. Additive Operators - Correct Answers: Include addition, subtraction, increment, decrement. Multiplicative Operators - Correct Answers: Include multiplication, division, modulus. Algorithm Efficiency - Correct Answers: Determined by comparing different algorithms. Overhead Operations - Correct Answers: Operations that do not significantly affect performance. Initialization - Correct Answers: Setting initial values before algorithm execution. Conditional Checks - Correct Answers: Evaluating conditions during algorithm execution. Increment - Correct Answers: Increasing a counter in an algorithm. Pythagorean Triplet - Correct Answers: Three integers satisfying a² + b² = c². Searching Algorithms - Correct Answers: Algorithms that locate specific data in structures. Doubly Linked List - Correct Answers: Linked list allowing traversal in both directions. Quick Sort - Correct Answers: Efficient sorting algorithm using divide-and-conquer. Exercises - Correct Answers: Practice problems at chapter end to enhance skills. Animations - Correct Answers: Visual aids demonstrating data structure operations. Initialization Operation - Correct Answers: First step in an algorithm, often negligible in large files. Printing Operation - Correct Answers: Outputting data, remains constant regardless of file size. Best Case Input - Correct Answers: Input allowing fastest algorithm performance, minimal work. Worst Case Input - Correct Answers: Input causing maximum algorithm workload, slowest performance. Average Case Input - Correct Answers: Input representing typical performance of an algorithm. Rate of Growth - Correct Answers: Increase in operations as problem size expands. Big Omega (Ω) - Correct Answers: Lower bound of algorithm performance, best case. Big Oh (O) - Correct Answers: Upper bound of algorithm performance, worst case. Big Theta (θ) - Correct Answers: Tight bound, algorithm performance grows at same rate. Constant Time - Correct Answers: Execution time does not change with input size. N Comparisons - Correct Answers: Total checks in worst-case searching scenario. Input Set - Correct Answers: Collection of data used to analyze algorithm performance. Algorithm Complexity - Correct Answers: Measure of algorithm's resource usage as input grows. Input Size (n) - Correct Answers: Number of elements in the input data set. Number of Groups (m) - Correct Answers: Distinct categories in average-case analysis. Probability of Input - Correct Answers: Likelihood of input belonging to a specific group. Time for Group i - Correct Answers: Execution time for inputs from a specific group. Performance Analysis - Correct Answers: Evaluating how well an algorithm executes under conditions. Input Arrangement - Correct Answers: Order of data affecting algorithm performance. Dominating Functions - Correct Answers: Faster growing functions overshadow slower ones. Threshold Value - Correct Answers: Minimum input size where performance characteristics change. Graphical Representation - Correct Answers: Visual depiction of algorithm growth behavior. Algorithm Workload - Correct Answers: Total operations required by an algorithm to complete. Input List - Correct Answers: Data sequence used for testing algorithm performance. Asymptotic Analysis - Correct Answers: Evaluates algorithm performance based on input size. Big O Notation - Correct Answers: Describes worst-case time complexity of algorithms. Big Ω Notation - Correct Answers: Defines tightest lower bound for algorithm growth. Big θ Notation - Correct Answers: Indicates tight bounds for algorithm growth rates. Tightest Lower Bound - Correct Answers: Smallest growth rate that still satisfies performance. Tightest Upper Bound - Correct Answers: Largest growth rate that still satisfies performance. Iterative Algorithms - Correct Answers: Algorithms that repeat a set of instructions. Recursive Algorithms - Correct Answers: Algorithms that call themselves for problem-solving. Backtracking Algorithms - Correct Answers: Algorithms that explore all possible solutions. Divide and Conquer Algorithms - Correct Answers: Algorithms that break problems into smaller subproblems. Dynamic Programming Algorithms - Correct Answers: Algorithms that solve problems by combining solutions. Greedy Algorithms - Correct Answers: Algorithms that make the best local choice at each step. Branch and Bound Algorithms - Correct Answers: Algorithms that systematically explore solution space. Brute Force Algorithms - Correct Answers: Algorithms that try all possible solutions. Randomized Algorithms - Correct Answers: Algorithms that use randomness to make decisions. Dominant Operation - Correct Answers: The most significant operation affecting time complexity. Logarithmic Comparison - Correct Answers: Using logarithms to compare growth rates of functions. Constant Value - Correct Answers: A fixed number that does not change with input size. Execution Count - Correct Answers: Number of times a specific operation is performed. Algorithm Characteristics - Correct Answers: Features that define the behavior of algorithms. Algorithm Input - Correct Answers: Data provided to an algorithm for processing. Algorithm Output - Correct Answers: Results produced by an algorithm after processing. A1 - Correct Answers: More efficient for all inputs except small. A2 - Correct Answers: More efficient for small inputs. Asymptotic Complexity - Correct Answers: Describes performance of algorithms as input size grows. fun3(n) - Correct Answers: Has time complexity of n log n. fun4(n) - Correct Answers: Has time complexity of n^(log n). for loop - Correct Answers: Control structure for repeating code a set number of times. O notation - Correct Answers: Describes upper bound of algorithm's growth rate. θ notation - Correct Answers: Describes tight bound of algorithm's growth rate. Ω notation - Correct Answers: Describes lower bound of algorithm's growth rate. fun(int n) - Correct Answers: Calculates Fibonacci sequence up to n. Recursive Calls - Correct Answers: Function calls itself to solve smaller instances. Linear Data Structures - Correct Answers: Elements arranged in a sequential manner. Nonlinear Data Structures - Correct Answers: Elements arranged in a hierarchical manner. Array - Correct Answers: Collection of similar elements in contiguous memory. Index - Correct Answers: Position of an element in an array. Traversal - Correct Answers: Accessing each element in a data structure. Search - Correct Answers: Finding an element in a data structure. Sort - Correct Answers: Arranging elements in a specified order. Fixed Size - Correct Answers: Array size determined at creation time. Variable Size - Correct Answers: Linked list size can change dynamically. Memory Locations - Correct Answers: Addresses where data is stored in memory. Node - Correct Answers: Basic unit of a linked list containing data. Pointers - Correct Answers: Variables that store memory addresses. Performance Issues - Correct Answers: Problems affecting efficiency of data structures. Computational Time - Correct Answers: Time taken by an algorithm to complete execution. Function Comparison - Correct Answers: Analyzing efficiency of two or more functions. Exercise Level II - Correct Answers: Intermediate problems to practice algorithm analysis. Insert Function - Correct Answers: Adds an element at a specified position in array. Delete Function - Correct Answers: Removes an element from a specified position in array. Reverse Function - Correct Answers: Swaps elements to reverse the order of the array. Display Function - Correct Answers: Traverses and prints all elements of the array. Search Function - Correct Answers: Finds a specified element in the array. MAX - Correct Answers: Constant defining maximum array size (5). Two-Dimensional Array - Correct Answers: Array organized in rows and columns (m x n). Row Major Arrangement - Correct Answers: Stores array elements row-wise in memory. Column Major Arrangement - Correct Answers: Stores array elements column-wise in memory. Base Address - Correct Answers: Starting address of an array in memory. Element Access - Correct Answers: Accessing array elements using subscripts. Address Calculation - Correct Answers: Formula to find memory location of array element. Common Matrix Operations - Correct Answers: Includes addition, multiplication, and transposition. Element Overwrite - Correct Answers: Replacing an array element with a new value. Shift Elements - Correct Answers: Moving elements in an array to make space. Looping - Correct Answers: Iterating through array elements using loops. Temp Variable - Correct Answers: Used for swapping elements in reverse function. Print Function - Correct Answers: Outputs data to the console. Matrix Representation - Correct Answers: Visual depiction of a 2-D array structure. Function Parameters - Correct Answers: Arguments passed to functions for processing. Element Absent - Correct Answers: Indicates a searched element is not found. C Language - Correct Answers: Programming language that supports array operations. Program Output - Correct Answers: Results displayed after executing array operations. Matrix Addition - Correct Answers: Combining two matrices element-wise to form a new matrix. Matrix Multiplication - Correct Answers: Calculating the product of two matrices using dot product. Matrix Transpose - Correct Answers: Interchanging rows and columns of a matrix. Function create() - Correct Answers: Initializes a 3x3 matrix with user input. Function display() - Correct Answers: Outputs the elements of a 3x3 matrix. Function matadd() - Correct Answers: Adds two 3x3 matrices and stores result. Function matmul() - Correct Answers: Multiplies two 3x3 matrices and stores result. Function transpose() - Correct Answers: Creates a transposed version of a matrix. 3D Array - Correct Answers: An array of arrays of arrays, storing multiple 2D arrays. Row Major Order - Correct Answers: Memory arrangement where rows are stored sequentially. Column Major Order - Correct Answers: Memory arrangement where columns are stored sequentially. Element Access Formula (Row Major) - Correct Answers: Base address + i * y * z + j * z + k. Element Access Formula (Column Major) - Correct Answers: Base address + i * y * z + k * y + j. Polynomial Representation - Correct Answers: Storing polynomial coefficients and exponents in an array. Polynomial Degree - Correct Answers: Highest exponent in a polynomial expression. Coefficient - Correct Answers: Numerical factor in a polynomial term. Exponent - Correct Answers: Indicates the power of a variable in a term. Common Polynomial Operations - Correct Answers: Operations like addition and multiplication on polynomials. C Programming - Correct Answers: Language used for implementing matrix operations. Input/Output Functions - Correct Answers: Functions like printf() and scanf() for user interaction. MAX Constant - Correct Answers: Defines the size of the matrix as 3. Matrix Element - Correct Answers: Individual value in a matrix at specified indices. Memory Representation - Correct Answers: Physical layout of array elements in computer memory. Multidimensional Arrays - Correct Answers: Arrays with more than one dimension for complex data. struct term - Correct Answers: Stores coefficient and exponent of polynomial terms. struct poly - Correct Answers: Contains an array of terms and term count. initpoly - Correct Answers: Initializes polynomial structure elements to zero. polyappend - Correct Answers: Adds a term with coefficient and exponent. polyadd - Correct Answers: Adds two polynomials and returns the result. display - Correct Answers: Prints polynomial in human-readable format. noofterms - Correct Answers: Tracks total number of terms in polynomial. coeff - Correct Answers: Coefficient of a polynomial term. exp - Correct Answers: Exponent of a polynomial term. p1 - Correct Answers: First polynomial variable in addition. p2 - Correct Answers: Second polynomial variable in addition. p3 - Correct Answers: Resultant polynomial variable after addition. printf - Correct Answers: Outputs formatted text to the console. flag - Correct Answers: Indicates if constant term has been printed. c - Correct Answers: Temporary variable for maximum term count. i, j - Correct Answers: Index variables for traversing polynomial terms. resultant polynomial - Correct Answers: Final polynomial after adding p1 and p2. term comparison - Correct Answers: Checks exponents to determine addition order. exponent - Correct Answers: Power to which the variable is raised. polynomial multiplication - Correct Answers: Next operation to be implemented in code. array t - Correct Answers: Array holding polynomial terms in struct poly. display function - Correct Answers: Function used to show polynomial equations. Polynomial - Correct Answers: Mathematical expression involving variables and coefficients. Struct - Correct Answers: User-defined data type for grouping related variables. Term - Correct Answers: Individual component of a polynomial with coefficient and exponent. Function - Correct Answers: Block of code designed to perform a specific task. Append - Correct Answers: Add an element to the end of a data structure. Display - Correct Answers: Output the contents of a polynomial to the console. Addition of Polynomials - Correct Answers: Combining coefficients of like terms from two polynomials. Multiplication of Polynomials - Correct Answers: Combining terms by multiplying coefficients and adding exponents. Searching - Correct Answers: Finding a specific element within a data structure. Sorting - Correct Answers: Arranging elements in a specified order. Insertion - Correct Answers: Adding a new element into a data structure. Deletion - Correct Answers: Removing an element from a data structure. Merging - Correct Answers: Combining two or more data structures into one. Reversal - Correct Answers: Changing the order of elements to the opposite sequence. Two-dimensional Array - Correct Answers: Array organized in rows and columns. Row-major Order - Correct Answers: Storing multi-dimensional array by rows in memory. Column-major Order - Correct Answers: Storing multi-dimensional array by columns in memory. Matrix Operations - Correct Answers: Operations like addition, multiplication on two-dimensional arrays. Data Structure - Correct Answers: Organized format for storing and managing data. Frequency - Correct Answers: Count of occurrences of elements in a dataset. Mode - Correct Answers: Most frequently occurring value in a dataset. Duplicate Elements - Correct Answers: Repeated values in an array that need removal. Symmetric Matrix - Correct Answers: Matrix where a[i][j] = a[j][i]. Orthogonal Matrix - Correct Answers: Matrix multiplied by its transpose equals identity. Identity Matrix - Correct Answers: Square matrix with 1s on diagonal, 0s elsewhere. Longest Increasing Subsequence - Correct Answers: Longest subsequence with elements in ascending order. Contiguous Memory - Correct Answers: Memory locations stored in adjacent addresses. Non-contiguous Memory - Correct Answers: Memory locations not required to be adjacent. Insertion in Linked List - Correct Answers: Adding a node without shifting existing elements. Deletion in Linked List - Correct Answers: Removing a node without shifting existing elements. NULL Pointer - Correct Answers: Indicates the end of a linked list. Linked List Operations - Correct Answers: Includes adding, deleting, and displaying nodes. Array Limitations - Correct Answers: Fixed size, tedious insertion, inefficient deletion. Flexibility of Linked Lists - Correct Answers: Can grow or shrink in size dynamically. Ascending Order - Correct Answers: Sequence arranged from smallest to largest. Random Matrix Theory - Correct Answers: Study of matrices with random elements. Representation Theory - Correct Answers: Mathematical study of abstract algebraic structures. Applications of Orthogonal Matrices - Correct Answers: Used in numerical linear algebra. Program for Mode - Correct Answers: Accepts array and returns mode or indication. Program for Symmetric Matrix - Correct Answers: Verifies if a 5x5 matrix is symmetric. Program for Longest Increasing Subsequence - Correct Answers: Finds longest subsequence in a given sequence. Add at Beginning - Correct Answers: Insert a new node at the start of the list. Add After - Correct Answers: Insert a node after a specified position. Count - Correct Answers: Return the total number of nodes in the list. Delete - Correct Answers: Remove a specified node from the list. malloc - Correct Answers: Allocate memory dynamically for a node. p - Correct Answers: Pointer to the first node in the list. temp - Correct Answers: Temporary pointer used for node traversal. r - Correct Answers: Pointer to the new node being added. Link - Correct Answers: Pointer to the next node in the list. First Node - Correct Answers: The initial node pointed by p. Empty List - Correct Answers: Indicated by p being NULL. Node Count - Correct Answers: Total nodes calculated during traversal. Intermediate Node - Correct Answers: Node between the first and last nodes. End of List - Correct Answers: Condition when the last node's link is NULL. Memory Freeing - Correct Answers: Releasing memory occupied by a deleted node. Error Message - Correct Answers: Displayed when a node to delete is not found. Node Data - Correct Answers: Integer value stored in a node. Link Part - Correct Answers: Pointer to the next node in a node. Loop Condition - Correct Answers: Checks if current node link is not NULL. For Loop - Correct Answers: Used to skip nodes before insertion. First Node Link - Correct Answers: Updated to point to the new first node. Node Insertion - Correct Answers: Adding a new node to the list. Node Removal - Correct Answers: Deleting a specific node from the list. addafter() - Correct Answers: Function to insert node after specified position. r->link - Correct Answers: Pointer to the next node in linked list. display() - Correct Answers: Function to print linked list contents. count() - Correct Answers: Function to count nodes in linked list. del() - Correct Answers: Function to delete a specified node. linked list - Correct Answers: Data structure consisting of nodes with links. malloc() - Correct Answers: Function to allocate memory for new nodes. reverse() - Correct Answers: Function to reverse the order of nodes. append() - Correct Answers: Function to add node at the end of list. concat() - Correct Answers: Function to concatenate two linked lists. erase() - Correct Answers: Function to delete all nodes in list. struct node - Correct Answers: Structure defining a linked list node. data - Correct Answers: Holds the value stored in a node. while loop - Correct Answers: Control structure for traversing linked list. first node - Correct Answers: The initial node in a linked list. intermediate node - Correct Answers: Node located between the first and last nodes. NULL - Correct Answers: Indicates end of the linked list. Figure 3-5 - Correct Answers: Illustration of addafter() function process. Figure 3-6 - Correct Answers: Illustration of del() function process. Figure 3-7 - Correct Answers: Illustration of different linked list types. Figure 3-8 - Correct Answers: Illustration of reversing links in a list. traverse - Correct Answers: Process of visiting each node in a list. shift p - Correct Answers: Move pointer to the next node. link adjustment - Correct Answers: Reassigning pointers to maintain list integrity. Concatenate - Correct Answers: Combines two linked lists into one. Erase - Correct Answers: Removes all nodes from the linked list. Recursive Function - Correct Answers: Function that calls itself within its body. Length - Correct Answers: Counts nodes using recursion. Compare - Correct Answers: Checks if two linked lists are equal. Copy - Correct Answers: Duplicates one linked list into another. Add at End - Correct Answers: Adds a new node at the list's end. Static Variable - Correct Answers: Retains value between function calls. Malloc - Correct Answers: Allocates memory dynamically for nodes. Data - Correct Answers: Information stored in a node. Free - Correct Answers: Deallocates memory occupied by a node. Return - Correct Answers: Outputs a value from a function. Null - Correct Answers: Indicates the end of the linked list. Figure 3-9 - Correct Answers: Illustration of a doubly linked list. dnode - Correct Answers: Structure representing a node in a doubly linked list. d_append - Correct Answers: Adds a new node at the end of the list. d_addatbeg - Correct Answers: Adds a new node at the beginning of the list. d_addafter - Correct Answers: Inserts a new node after a specified position. d_display - Correct Answers: Displays the contents of the linked list. d_count - Correct Answers: Counts the number of nodes in the list. d_delete - Correct Answers: Removes a specified node from the list. prev - Correct Answers: Pointer to the previous node in the list. next - Correct Answers: Pointer to the next node in the list. struct dnode** - Correct Answers: Pointer to the pointer of the first node. int data - Correct Answers: Holds the integer value of the node. last node - Correct Answers: The final node in the doubly linked list. loc - Correct Answers: Specifies the position for insertion in d_addafter. q - Correct Answers: Pointer used for traversing the list. Figure 3-10 - Correct Answers: Illustration of adding a node to the list. Figure 3-11 - Correct Answers: Illustration of d_addatbeg() operations. first node deletion - Correct Answers: Updates head pointer to next node. last node deletion - Correct Answers: Updates previous node's next pointer to NULL. intermediate node deletion - Correct Answers: Links previous and next nodes together. loop in d_addafter - Correct Answers: Traverses to the specified position for insertion. node insertion - Correct Answers: Links new node with adjacent nodes. memory allocation - Correct Answers: Reserves space for new nodes in the list. data comparison - Correct Answers: Checks if node data matches the deletion target. node traversal - Correct Answers: Iterates through the list to find nodes. first node pointer update - Correct Answers: Sets first node to the next node. next node pointer update - Correct Answers: Sets next node's previous pointer to new node.