4. Given an array, arr[] = {90, 15, 10, 7, 12, 2), does this array represents a Max-Heap? if it does, draw this max-heap.
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- Computer Science Java Programming ******* Write a Java application that will, given an appropriate data structure, will be able to track the following module and its dependencies as well as implement an appropriate search algorithm to create the correct graph for any given module. The graph will show all the corresponding dependent modules in their correct order of dependency. Must use Stack, either Double ArrayList or Linked List, and simple search to implement this. Module A: Dependencies: B D E K L Module B: Dependencies: F G M Module C: Dependencies: F Module D: Dependencies: G Module E: Dependencies: B A Module F: Dependencies: B Module G: Dependencies: NONE Module K: Dependencies: M Module L: Dependencies: Q Module M: Dependencies: A Module Q: Dependencies: NONE Ensure that dependencies are only visited only once. To test: Input A Your Output: Module A. Dependencies: B F G M D E K M L QStack stores elements in an ordered list and allows insertions and deletions at one end. The elements in this stack are stored in an array. If the array is full, the bottom item is dropped from the stack. In practice, this would be equivalent to overwriting that entry in the array. And if top method is called then it should return the element that was entered recently.Introduction For this assignment, you are to write a program which implements a Sorted List data structure using a circular array-based implementation and a driver program that will test this implementation. The Sorted List ADT is a linear collection of data in which all elements are stored in sorted order. Your implementation has to store a single int value as each element of the list and support the following operations: 1. add(x) – adds the integer x to the list. The resulting list should remain sorted in increasing order. The time complexity of this operation should be 0(N), where N is the size of the list. 2. removefirst() - deletes the first integer from the list and returns its value. The remaining list should remain sorted. Time complexity of this operation should be 0(1). 3. removelast() – deletes the last integer from the list and returns its value. The remaining list should remain sorted. Time complexity of this operation should be 0(1). 4. exists(x) – returns true if the…
- ALGO1(A)// A is an integer array, an index that starts at 11): for i=1 to n-1 do2): minIndex = findSmallest(A,i)3): exchange A[i] with A[minIndex] The sub-routine find the smallest(A, i) in Line 2, and returns the index of the smallest element in thesub-array A[i:n]Suppose the array below is provided as input to ALGO1 2 5 6 7 3 8 1 4 Fill in the Blanks At the end of the first iteration of the for loop (i.e. with i=1)1) a) the element at index 1 is : b) the element at index 4 is : c) the element at index 7 is :List ADT Implementation (via dynamic array) • Implement the following operations of List ADT by using array class (as discussed in the lecture) • Constructors (default, parameterize, copy) & destructor • void printList ( ), int searchElement (int X), void insertElement (int X), void insertElementAt (int X, int pos), bool deleteElement (int X), bool isFull ( ), bool isEmpty ( ), int length ( ), void reverseList ( ), void emptyList ( ), void copyList (...) • Also write a driver (main) program to test your code (provide menu for all operations)Suppose that queue is implemented as an array with the special reserved slot, Suppose that the size of the array implementing queue is 100. Also, suppose that the value of queueFront is 74 and the value of queueRear is 99. a. What are the values of queueFront and queueRear after adding an element to queue?b. What are the values of queueFront and queueRear after removing an element from queue? Also, what is the position of the removed queue element?
- Heapsort has heapified an array to: 96 71 57 36 25 and is about to start the second for loop. What is the array after each loop iteration? i= 4: Ex: 86, 75, 30 i = 3: i = 2: i = 1:1.) B = {35, 29, 7, 13,9,15,20} heap size = 7 Do heapify (B,2). Write the values in the array B starting from index 0 to 6?9.). integer array nums and an integer k, return the length of the shortest non-empty subarray of nums with a sum of at least k. If there is no such subarray, return -1. A subarray is a contiguous part of an array. Example 1: Input: nums = [1], k = 1 Output: 1 Example 2: Input: nums = [1,2], k = 4 Output: -1 Example 3: Input: nums = [2,-1,2], k = 3 Output: 3.
- In this project, you will develop algorithms that find road routes through the bridges to travel between islands. The input is a text file containing data about the given map. Each file begins with the number of rows and columns in the map considered as maximum latitudes and maximum longitudes respectively on the map. The character "X" in the file represents the water that means if a cell contains "X" then the traveler is not allowed to occupy that cell as this car is not drivable on water. The character "0" in the file represents the road connected island. That means if a cell contains "0" then the traveler is allowed to occupy that cell as this car can drive on roads. The traveler starts at the island located at latitude = 0 and longitude = 0 (i.e., (0,0)) in the upper left comer, and the goal is to drive to the island located at (MaxLattitude-1, MaxLongitudes-1) in the lower right corner. A legal move from an island is to move left, right, up, or down to an immediately adjacent cell…1. Using the above class map, write function void map::mapToGraph(graph &g){...} to create a graph g that represents the legal moves in the map m. Each vertex should represent a cell, and each edge should represent a legal move between adjacent cells. 2. Write a recursive function findPathRecursive(graph &g, stack &moves) that looks for a path from the start island to the destination island. If a path from the start to the destination exists, your function should call the map::printPath() function that should print a sequence of correct moves (Go left, Go right, Go down, Go up, etc.). If no path from the start to the destination exists, the program should print, "No path exists". If a solution exists the solver should also simulate the solution to each map by calling the map::print() function. The map::print() function prints out a map visualization, with the goal and current position of the car in the map at each move, marked to show the progress. Hint: consider recursive-DFS. 3.…True or False For each statement below, indicate whether you think it is True or False. If you like, you can provide a description of your answer for partial credit in case you are incorrect. Given a stack implemented as an array, and the following functions performed: Push(A), Push (B), Push(C), Pop(), Push(D), Push(E), Pop(), Push(F) The array will be [A][B][D][F] and the “top” of the stack will be at index 3 where [F] is The next element that will be removed when Pop is called will be A If we Push(G), [G] will be inserted at index 0 Given a queue implemented as an array with a maximum capacity of 5 elements and O(1) insert and remove, and the following functions are performed: Insert(7), Insert(6), Insert(5), Insert(4), Remove(), Remove(), Insert(3), Insert(2), Insert(1), Remove() The removeIndex value will be index 4 The array will be [2][1][ ][4][3] The insertIndex value will be index 2 Given a priority queue implemented as a standard linked list with only a…