Answer :
b. a sorted array.
Explanation :
Using an Sorted Array
The findMax operation will be faster as compared to unsorted array as either the array is dorted in descending or in ascending order the time complexity will be O(1). Also if we use an array to store the values in the priority queue, we can either store the values in sorted order (which will make the insert operation slow, and the deleteMax operation fast), or in arbitrary order (which will make the insert operation fast, and the deleteMax operation slow). Note also that we'll need a field to keep track of the number of values
Indicate the time efficiency classes of the three main operations of the priority queue implemented as...
In class, we discussed the priority queue (PQ) ADT implemented using min-heap. In a min-heap, the element of the heap with the smallest key is the root of the binary tree. On the other hand, a max-heap has as root the element with the biggest key, and the relationship between the keys of a node and its parent is reversed of that of a min-heap. We also discussed an array-based implementation of heaps. In this assignment, your task is to...
5. Consider a priority queue of strings with an integer priority. The queue us implemented as a min heap using a 0-based array of size 8 with methods push(entry, priority) and pop(). Determine the priority queue contents, represented both as an array and as a tree, at the points indicated below during the following operations on the ADT. Write down the queue contents after the operation on the given line is executed. 1. priority_queue<string, int> pq; 2. pq.push("start", 10); 3....
Δ Drive myHR - + 90% 9. Use the Prims algorithm with a priority queue implemented as an unsorted array to find the miniam gon ning tree from the graph below. (a) At each iteration, illustrate the priority queue with information about a vertex weight and vertex parent for each vertex in the minimam spanning tree (b) Use the table to draw the minimum spanning tree. What is a weight of the minimum spanning tree? (c) Provide two examples for...
1) (10 pts) What are the worst case run times of each of the following operations? Make sure to list your answer in terms of the appropriate variables in the prompt. Note that on occasion, some of the run times won't be dependent on some of the variables listed in the prompt. (a) Inserting an item to the front of a linked list of n elements. (b) Sorting n integers using Quick Sort. (c) Merging a sorted list of a...
Consider the following functions that implement the dequeue operation for a priority queue that is implemented with a heap. int[] pQueue; int length; int dequeue() { int node = 1; int value = pQueue[--length]; int maxValue = pQueue[node]; int location = sift(node * 2, value); pQueue[location] = value; return maxValue; } int sift(int node, int value) { if (node <= length) { if (node < length && pQueue[node] < pQueue[node + 1]) node++; if (value < pQueue[node]) { pQueue[node /...
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of height h is 2h+1 − 1. 2. A full node is a node with two children. Prove that the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree. 3. What is the minimum number of nodes in an AVL tree of height 15? 4. Show the result of inserting 14, 12, 18, 20, 27, 16,...
Compare and Contrast Hash Map to Binary Search Tree. Memory, Time Efficiency for Operations for Retrieving Singular Values, Maintaining relationships between data. Please be sure to use your own words.
[Java] Efficiency Comparison of two Implemented Queues : Circular Array Queue and SSQueue and its enqueue and dequeue operations Need to write a program that compares the efficiency of the queue implementations. To do so, you need to find and compare the running times of 1 the following two scenarios for both queue implementations: 3.1 Scenario 1: Alternating Sequence of Enqueues and Dequeues For every n ∈ {20, 50, 100, 1000, 10000, 100000, 1000000}, do the following: 1. long startTime...
I will rate your answers so please make sure the answers are accurate. Please answer the following questions with fully explanations: 1) Of the following, which has the most impact on the efficiency of searching for an item in a hash table? a) the number of non-key fields b) the size of the table c) the density of the table d) whether the size of the table is a prime number e) the difficulty of computing the inverse of the...
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