Question: Suppose that binary heaps are represented using explicit links. Consider the problem of merging binary heap lhs with rhs. Assume both heaps are perfect binary

Suppose that binary heaps are represented using explicit links. Consider the problem of merging binary heap lhs with rhs. Assume both heaps are perfect binary trees, containing 2l − 1 and 2r − 1 nodes, respectively.
a. Give an O(logN) algorithm to merge the two heaps if l = r.
b. Give an O(logN) algorithm to merge the two heaps if |l − r| = 1.
c. Give an O(log2 N) algorithm to merge the two heaps regardless of l and r.

Step by Step Solution

★★★★★

3.48 Rating (187 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Place negative infinity as a root with the two heaps as ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1486-C-S-A(384).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!

Suppose that binary heaps are represented using explicit links. Give a simple algorithm to find the tree node that is at implicit position i.

Another representation of binary integers that is sometimes encountered is ones complement. Positive integers are represented in the same way as sign magnitude. A negative integer is represented by...

Consider the problem of making change for n cents using the fewest number of coins. Assume that each coin's value is an integer. a. Describe a greedy algorithm to make change consisting of quarters,...

make a project on topic priority queue using binary heap help with the research paper giving above to implementation code in python data structure do it in one day S.L. Graham, R.L. Rivest Editors...

class Queue using no other data structures than Item, Boolean, int and Stack. The amortized running time of each Queue meth od must be constant. (Note that you may only use the Stack as a black box:...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

8: Scapegoat Trees Recall that a scapegoat node is a node v-u.parent where 2*size(u) > 3*size(u.parent) 1. 2. 3. In a scapegoat tree, is size(u) 2*size(v)) then explain how many operations...

coding must be done in c# Question 4: Binary Heaps (19 marks) a) (2 marks) Draw the binary heap that corresponds to the array below 10 | 20 | 80 | 30 | 50 | 100 | 90 | 70 | 40 | 60 4 10 b) (2 mark)...

Combining Heaps a) Suppose that you have two binary heaps H 1 and H 2 , each with exactly 2 k -1 elements. The heaps are represented with explicit binary trees; they are not encoded into arrays....

In class we studied binary heaps, i.e., heaps that store the elements in complete binary trees. This question is about ternary heaps, i.e., heaps that store the elements in complete ternary trees...

Before drilling for water, many rural homeowners hire a dowser (a person who claims to be able to sense the presence of underground water using a forked stick.) Suppose we wish to set up an...

Find the distance between parallel planes. X + Y + Z = 1 X + Y + Z = 3

Name the access method used in the 1000BaseTX network.

6. Stephanie Howard likes mystery novels. Her MU/P ratio for those novels is 60/$10. If the price of the novels falls from $10 to $5, the number of novels Stephanie demands increases. Explain.

An audio streaming server has a one-way distance of 50 msec with a media player. It outputs at 1 Mbps. If the media player has a 1-MB buffer, what can you say about the position of the low-water mark...

The interleaving algorithm of Fig. 7-60 has the advantage of being able to survive an occasional lost packet without introducing a gap in the playback. However, when used for Internet telephony, it...

Does voice over IP have the same problems with firewalls that streaming audio does? Discuss your answer.

Suppose an investor shorts a straddle (a call option + a put option with the same strike price) with the following parameter values: S = 200, K = 250, = 0.30, RF = 0.05, q = 0, T = 5 years, and the...

the following statement from a fellow student needs a reply to There are a lot more cons of filing bankruptcy then pros. The only pro listed in the reading is that most of your debts are discharged....

1.If a project has more than one negative net cash-flow a problem with using the IRR method to evaluate the project is that: Select one: a. The cash-flows cannot be determined b. The risk of the...