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Task 1: Heap Sort In this task, the sorting problem is defined as follows: Input: sequence a1, a2,*… , an of numbers. Output: A permutation of the input a, a2, . , an such that a < a, s ... < an .... Implement heap sort in C++ and show the output of your code for at least two instances of the problem (Heap sort is given in “5 Heap Sort")

Task 1: Heap Sort In this task, the sorting problem is defined as follows: Input: sequence a1, a2,*… , an of numbers. Output: A permutation of the input a, a2, . , an such that a < a, s ... < an .... Implement heap sort in C++ and show the output of your code for at least two instances of the problem (Heap sort is given in “5 Heap Sort")

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Directions: Task 1: Heap Sort In this task, the sorting problem is defined as follows: Input: sequence a1, a2, , an of numbers. Output: A permutation of the input a', a', ..., an such that a' < a' s ..< an Implement heap sort in C++ and show the output of your code for at least two instances of the problem (Heap sort is given in "“5 Heap Sort") Task 2: Max-Priority Queues 1- Use max-heap to implement a max-priority queue in C++. Your max-priority queue should support the following operations: Maximum(S): returns the element of S with the largest key (value). Extract-Max(S): removes and returns the element of S with the largest key. Increase-Key(S, x, k): increases the value of element x's key to the new value k, which is assumed to be at least as large as x's current key value. Insert(S, x): inserts the element x into the set S, i.e. S→ SU {x}. Decrease-Key(S, x, d): decreases the value of element x's key to the new value d, which is assumed to be less than or equal to x's current key value. Show an example of your code output for each operation. 2- What is the running time of your Decrease-Key operation?
Transcribed Image Text:Directions: Task 1: Heap Sort In this task, the sorting problem is defined as follows: Input: sequence a1, a2, , an of numbers. Output: A permutation of the input a', a', ..., an such that a' < a' s ..< an Implement heap sort in C++ and show the output of your code for at least two instances of the problem (Heap sort is given in "“5 Heap Sort") Task 2: Max-Priority Queues 1- Use max-heap to implement a max-priority queue in C++. Your max-priority queue should support the following operations: Maximum(S): returns the element of S with the largest key (value). Extract-Max(S): removes and returns the element of S with the largest key. Increase-Key(S, x, k): increases the value of element x's key to the new value k, which is assumed to be at least as large as x's current key value. Insert(S, x): inserts the element x into the set S, i.e. S→ SU {x}. Decrease-Key(S, x, d): decreases the value of element x's key to the new value d, which is assumed to be less than or equal to x's current key value. Show an example of your code output for each operation. 2- What is the running time of your Decrease-Key operation?
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