Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 6.4, Problem 1E
Program Plan Intro
To illustrate the operation of heapsort on the array
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H.W: Show the result of inserting 10, 12, 1, 14,6, 5,8, 15,3,9,7, 4, 11, 13, and 2, one at a time, into an initially empty binary heap?
Demonstrate, step by step, how to sort a list of integers (2, 4, 1,
5, 6, 7) using a max-heap, following Example 4.15.
Explain in their own words Heapsort and fully demonstrate the procedure.
[17,132,213,577,807,536,443,414]
Chapter 6 Solutions
Introduction to Algorithms
Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3E
Ch. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3P
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- Show how HeapSort processes the input: 142, 543, 123, 65, 453, 879, 572, 434, 111, 242, 811, 102. Show the initial heap, and the heap after removing 1, 3, and 5 elements.arrow_forwardStarting with an empty minheap, draw the heap after each of the following operations please see attached image.arrow_forwardCreate maximum heap using an unsorted array A= [12,4,7,43,89,32,8,1,50]arrow_forward
- Construct a heap with following list of keys:8, 20, 9, 4, 15, lo, 7, 22, 3, 12arrow_forwardUsing heapsort to sort [10,5,10,5] and [5,10,5,10], on which of the two arrays, the relative order of all the elements of the same values will be preserved? Can you show a working behind your answer? Options are: 1. only [10,5,10,5] 2. only [5,10,5,10] 3. none 4. botharrow_forwardConsider the following vector: { 1, 2, 3, 6, 9, 5, 10, 14}(1) Give me the vector version of the binary heap that results when you call Pop() on this heap (vector) (2) You would like to sort this specific vector/heap. Which is better to divide and conquer: quick sort using the first element as a pivot or merge sort? Please explain your answer in your own words your decision and the reasons whyarrow_forward
- Consider the following vector: { 1, 2, 3, 6, 9, 5, 10, 14}(1) Give me the vector version of the binary heap that results when you call Pop() on this heap (vector) (no code needed just the right order)arrow_forwardAlgorithm Demonstrate, step by step, how to construct a max-heap for the list of integers A[1..8] = (12, 8, 15, 5, 6, 14, 1, 10) (in the given order), following Example 4.14.arrow_forward4) Given that a queue is being represented by the following circular representation in an array (front is currently 4 and back is currently 7): array component: 0 1 2 4 5 6 7 8 | | | | 37 | 41 | 12 | 34 | | a) Show what this representation would like after the following sequence of operations are performed: deq(q, i); deq(q, j); enq(q, 81); enq(q, 72); enq(q, 38); deq(q, k); (indicate the current position of front and back for each operation) b) What is an advantage of this implementation of a queue? c) What is a disadvantage of this implementation of a queue?arrow_forward
- please illustrate the process of HEAPSORT withA = [50, 30, 37, 22, 7, 9, 5]. Here, BUILD-MAX-HEAP has already been executed, and A is a max-heap.arrow_forwardUse the procedure MAX-HEAPIFY in a bottom-up manner to convert the array A = <1, 4, 3, 5, 8, 9, 0, 7, 2, 6> to build a max heaparrow_forward// Suppose we have the following min-heap:// 2, 3, 4, 16, 7, 11, 9, 31, 18, 21, 12// After calling delFront(), the min-heap now looks as follows:// 3, 7, 4, 16, 12, 11, 9, 31, 18, 21 In java language in a min heap create a method that deletes the min element all details under method with examples please and thank you essentially just a method that deletes the min number and resorts the heaparrow_forward
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