Question: Consider the following program: P. Initialize() initializes the data structures. P. Insert (z) inserts elements in P. P. ExtractMax() returns the maximum element of P

Consider the following program: P. Initialize() initializes the data structures. P. Insert (z) inserts elements in P. P. ExtractMax() returns the maximum element of P and deletes it from P. P Size() returns the number of elements in P. (a) Analyze carefully the running time of Program1 assuming that P is implemented as a Max-Heap. Analyze the total time for both the P.InsertO and P.ExtractMaxO operations. Note that the time for P Insert and P.ExtractMax is dependent on the number of elements in P which changes over the running time of the algorithm. Operations P.InitializeC) and P.Sizeo take constant time. Show your work. (b) Analyze carefully the running time of Programi assuming that P is implemented by some data structure which takes Theta(s^2/3) time for P.Innert O where s is the number of elements in P and e(1) time for P.ExtractMaxC). Analyze the total time for both the P.Insert and P.ExtractMax() operations. Note that the time for P.Insert C) is dependent on the number

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Consider the following program: P Initialize() initializes the data structures. P Insert (a) inserts elements a in P P Extract Max returns the maximum element of P and deletes it from P. P Size()...

Question 3 . Consider the following program: P . Initialize ( ) initializes the data structures. P . Insert ( ) inserts elements x in P . P . ExtractMax ( ) returns the maximum element of P and...

Consider the following program: Program2(A, n) /* A is an array of n elements P.Initialize); 2 for i 1 to n do a for jI to ln] do 4P.Insert (AAU) end 6 end 7 for i1 to n do sz P.ExtractMaxO Print r;...

6. Consider the following program: Program1 (A, 1) /* A is an array of n elements 1 P.Initialize(); 2 for it 1 to lVnj do 3 for j+1 to n do 4 | P.Insert (A[i] * A[j]); 5 end 6 end 7 while P.Size() +0...

4. Consider the following program Program1(A, n) A is an array of n elements 1 P.Initialize(); 2for i 1 to n do 3 | 4 5 6 7 end 8 end 9 while P.Size() 0 do for j 1 to n do for k 1 to n do P.Insert...

P . Initialize ( ) initializes the data structures. P . Insert ( ) inserts elements x in P . P . ExtractMax ( ) returns the maximum element of P and deletes it from P . P . Size ( ) returns the...

Program2(A, n) /* A is an array of n elements 1 P.Initialize(); 2 for i = 1 to n do for j = 1 to n do for k = 1 to n do P.Insert (A[i] * A[j] * A[k]); end end C P.ExtractMax (); Print x; 10 end O 0 -...

Program2(A, n) A is an array of n elements 1 P.Initialize(): 2 for i 1 to n do for j 1 to n do for k 1 to n do 4 5 6 7end P.Insert (AllAljAlk) end x P.ExtractMax(): 9Print r; 10 end P.Initialize()...

Please make the C++ program that follow the below steps ------------------------------------------------------------------------------- -----------------------------------------------------------...

This lesson was about performing division of polynomials using long method and synthetic division. Based on your understanding about the lesson, make your own reflection by answering the following...

The oscillator of Problem 3-1 is set into motion by giving it an initial velocity of 1 cm/s at its equilibrium position. Calculate (a) The maximum displacement and (b) The maximum potential energy.

Lloyd Inc. has sales of $ 6 0 0 , 0 0 0 , a net income of $ 6 0 , 0 0 0 , and the following balance sheet: Cash$ 8 8 , 5 6 0 Accounts payable$ 1 0 2 , 6 0 0 Receivables 1 8 0 , 3 6 0 Notes payable to...

Need answered. Profits have been decreasing for several years at Pegasus Airlines. In an effort to improve the company's performance, the company is thinking about dropping several flights that...

Question Since a 501(c)(3) organization can sponsor both Section 401(k) plans and TDA plans, what are the considerations in choosing between the two?

Question Can TDA plans cover independent contractorsfor example, anesthesiologists or radiologists associated with, but not formally employed by, hospitals?

Question Can a stock bonus plan or ESOP hold life insurance or investments other than employer stock?