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Data Structures And Algorithm Assignment Help

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Frequently Asked Questions

Q. 1)    Find the Kth Largest Element in an Array: Given an unsorted array of integers, write a function that returns the kth largest element in the array. For example, if the input array is [3, 2, 1, 5, 6, 4] and k = 2, the output should be 5. Implement the function using the quickselect algorithm and analyze its time complexity

Q. 2)    Merge Two Sorted Arrays: Given two sorted arrays, merge them into a single sorted array. The function should take two sorted arrays as input and return a new sorted array. For example, if the input arrays are [1, 3, 5] and [2, 4, 6], the output should be [1, 2, 3, 4, 5, 6]. Implement the solution in O(n) time complexity.

Q. 3)    Linked List Reversal: Write a function to reverse a singly linked list. The function should take the head of the list as input and return the new head after reversal. For example, if the original linked list is 1 -> 2 -> 3 -> 4 -> 5, the output should be 5 -> 4 -> 3 -> 2 -> 1. Provide the time and space complexity of your solution.

Q. 4)    Array Manipulation: Write a function that rotates an array of integers by a given number of positions. For example, if the array is [1, 2, 3, 4, 5] and the number of positions is 2, the rotated array should be [4, 5, 1, 2, 3]. Implement this function in such a way that the time complexity is O(n).

Q. 5)    Given two singly linked lists, determine the point where they intersect. If the two linked lists do not intersect, return null. You can assume that the intersection point is the same for both lists, and you are required to find it. For example, if the two linked lists are: List 1: 1 → 3 → 5 → 7 → 9 → 11 List 2: 2 → 4 → 5 → 7 → 9 → 11 The intersection point is at the node with the value 5. Write a function that takes two linked lists as input. Return the node at which the two lists intersect. If they don't intersect, return null. Solve this problem with O(n) time complexity and O(1) space complexity.

Q. 6)    What is an Abstract data type? How is it implemented in C++?

Q. 7)    What is a Queue Data Structure? How can it be implemented using an Array in C++?A Queue is a linear data structure that follows the First In, First Out (FIFO) principle. In a queue, the element added first will be the first one to be removed. The queue supports two main operations: Enqueue: Adds an element to the rear of the queue. Dequeue: Removes an element from the front of the queue.

Q. 8)    Find the Middle Element of a Linked List Problem: Write a function to find the middle element of a singly linked list. If there are two middle elements, return the second middle element. Input: A linked list: 1 → 2 → 3 → 4 → 5 Output: 3.

Q. 9)    Write a function to detect if a cycle exists in a singly linked list. Input: A linked list with or without a cycle. Output: Return true if there is a cycle, else return false.

Q. 10)    What is a default constructor? What is the advantage of having one?

Q. 11)    Use the STL queue (std:queue) container to implement a print queue that accepts incoming print jobs, named as PrintJob #1, PrintJob #2, etc. The print jobs arrive in random order in the sense that the first job might be PrintJob #4, the next one might be Printjob #1, etc. The print queue will look something like this: PrintJob #4 PrintJob #2 PrintJob #1 PrintJob #3 .. The program will generate the print job name strings (the digits are random numbers) and inserts these into the queue in the order received. After every second job inserted in the queue, the program will pop the job at the front of the queue displaying a message saying a particular job, identified by its name, is completed and the size of the queue. As each job is inserted in the queue, the program will display a message saying “Added PrintJob #n to the queue. Size of the queue is …”. Insert a total about 10 jobs to the queue. Please remember that the actions of adding jobs to the queue and every so often removing the job at the front of the queue should be interspersed. Submit the code and the output on Camvas.

Q. 12)    What is the matching number of the bipartite graph shown above (i.e., what is the number of edges in a maximum matching)?

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