Show that any sequence of m MAKE-SET, FIND-SET, and LINK operations, where all the LINK operations appear
Question:
Show that any sequence of m MAKE-SET, FIND-SET, and LINK operations, where all the LINK operations appear before any of the FIND-SET operations, takes only O(m) time if we use both path compression and union by rank. What happens in the same situation if we use only the path-compression heuristic?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
With the pathcompression heuristic the sequence of m MAKESET FINDSET and LINK operations where all t...View the full answer
Answered By
Sumit kumar
Education details:
QUATERNARY Pursuing M.Tech.(2017-2019) in Electronics and Communication Engg. (VLSI DESIGN) from
GNIOT Greater Noida
TERTIARY B.Tech. (2012-2016) in Electronics and Communication Engg. from GLBITM Greater Noida
SECONDARY Senior Secondary School Examination (Class XII) in 2012 from R.S.S.Inter College, Noida
ELEMENTARY Secondary School Examination (Class X) in 2010 from New R.J.C. Public School ,Noida
CERTIFICATION
Summer Training in ‘WIRELESS EMBEDDED SYSTEM’ from ‘XIONEE’ for the six weeks.
EMBEDDED SYSTEM Certificate issued by CETPA INFOTECH for one day workshop.
Certificate of Faculty development program on OPTICAL COMMUNICATION and NETWORKS for one week.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Question Posted:
Students also viewed these Computer science questions
-
There are four basic operations on red-black trees that perform structural modifications: node insertions, node deletions, rotations, and color modifications. We have seen that RB-INSERT and...
-
Suppose we wish not only to increment a counter but also to reset it to zero (i.e., make all bits in it 0). Show how to implement a counter as an array of bits so that any sequence of n INCREMENT and...
-
a. Show how to implement the merge operation on splay trees so that any sequence of N1 merges starting from N single-element trees takes O(N log2 N) time. b. Improve the bound to O(N logN).
-
Q-1. You are the new Governor of State Bank of Pakistan after Reza Baqir. For each of the situations listed below, decide if you would use Easy-Monetary policy or Tight-Monetary policy. a) RGDP...
-
Paul Kloss, accountant for Lowe & Co., traveled to New York on company business. His total expenses came to $350. Paul felt that because the trip extended over the weekend he would "pad" his expense...
-
a. How many subjects are included in the study? b. How many of the subjects had a true negative result? c. What is the probability that a randomly selected subject had a true negative result? Use the...
-
BlackBerry Ltd. has a target current ratio of 2.0 but has experienced some difficulties financing its expanding sales in the past few months. At present, the firm has current assets of $750,000 and a...
-
Imagine you are an HR executive at P&G. Given the company's strategic orientation toward purpose and values, what would you do to help align a new performance management system with the strategic...
-
_____ redirects a user from a legitimate website to a malicious website by changing hosts files on a DNS server. A. Exploitation framework B. ARP poisoning C. DDoS DNS attack D. DNS...
-
7. Bret's Accounting & Tax Services is a small but locally well-known accounting firm in Sioux City, IA which completes taxes for individuals. Every year, firms like Bret's decide how much they will...
-
Professor Gompers suspects that it might be possible to keep just one pointer in each set object, rather than two (head and tail), while keeping the number of pointers in each list element at two....
-
Professor Dante reasons that because node ranks increase strictly along a simple path to the root, node levels must monotonically increase along the path. In other words, if x.rank > 0 and x.p is not...
-
Suppose that one year after the inception of the currency swap between Centralia and the Spanish MNC, the U.S. dollar fixed-rate has fallen from 8 to 6 percent and the euro zone fixed-rate for euros...
-
Suppose you want to invest \(\$ 30,000\). Part of this investment will be in a guaranteed rate \(5 \%\) annuity, and the remainder will be invested in a "friend's" business and she will pay you "a...
-
In Problems 4-13, decide whether the statement is true or false. If it is false, tell what is wrong. In *Row + notation, the first number listed is the target row.
-
An airliner flies at \(510 \mathrm{mph}\) in the jet stream, but only \(270 \mathrm{mph}\) returning against it. What is the speed of the plane in still air?
-
A box contains only dimes and quarters. The number of dimes is three less than twice the number of quarters. If the total value of the coins is \(\$ 22.65\), how many dimes are in the box?
-
You can rent a car for \(\$ 50 /\) day \(+55 \% /\) mile (option A) or \(\$ 89 /\) day \(+25 otin /\) mile (option B). For how many miles will option A be cheaper than option B?
-
Rick withdraws $500 from his savings account, keeps $100 as currency, and deposits $400 in his checking account. A. M1 increases by $400 and M2 decreases by $500. B. M1 does not change, but M2...
-
If a force of F = 50 Ib is applied to the pads at A and C, determine the smallest dimension d required for equilibrium if the spring has an unstretched length of 1 ft. B 1 ft 1 ft F k = 15016/fr 1ft...
-
Suppose we represent a graph G having n vertices and m edges with the edge list structure. Why, in this case, does the insertVertex method run in O(1) time while the removeVertex method runs in O(m)...
-
Draw a simple, connected, directed graph with 8 vertices and 16 edges such that the in-degree and out-degree of each vertex is 2. Show that there is a single (nonsimple) cycle that includes all the...
-
If G is a simple undirected graph with 12 vertices and 3 connected components, what is the largest number of edges it might have?
-
You are asked to choose a Website/ Web app/ Mobile app from any e-service/e-commerce provider. Explore the Website/Web app/Mobile app and identify the strengths (Note: you may compare the features...
-
Calculate return on equity (ROE) and its components using basic DuPont analysis. What do these ratios tell you about the company's performance and profit drivers? How do these ratios compare to the...
-
At the beginning of the year, Beck Company had total assets of $325,000 and total stockholders' equity of $105,000. If total assets increased by $50,000 during the year and total liabilities...
Study smarter with the SolutionInn App