Suppose that an algorithm uses only comparisons to find the i th smallest element in a set
Question:
Suppose that an algorithm uses only comparisons to find the i th smallest element in a set of n elements. Show that it can also find the i - 1 smaller elements and the n - i larger elements without performing any additional comparisons.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
Answered By
Stanley Ndabaru
I have graduated with a bachelors degree in Mathematics and Computer Science and planning to pursue a masters degree in the field of mathematics. I've been working as an associate lecturer for the past 2 years. I've been mentoring students and helping them with difficult questions in the field of Mathematics, computer science, and statistics. My aim is to make sure that my students understand the concepts and how to apply them in their projects and revision.
0.00
0 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
-
The worst-case number T(n) of comparisons used by SELECT to select the ith order statistic from n numbers was shown to satisfy T(n) = Θ(n), but the constant hidden by the Θ-notation is...
-
A compare-exchange operation on two array elements A[i] and A[j], where i < j, has the form COMPARE-EXCHANGE (A, i, j) 1 If A[i] > A[j] 2 exchange A[i] with A[j] After the compare-exchange operation,...
-
In this problem, we use indicator random variables to analyze the RANDOMIZED SELECT procedure in a manner akin to our analysis of RANDOMIZED-QUICKSORT in Section 7.4.2. As in the quicksort analysis,...
-
With only a straightedge and compass, use a number line and the Pythagorean theorem to construct a segment whose length is 2. Measure the segment as accurately as possible, and write your answer in...
-
Predict the approximate chemical shifts of the protons in the following compounds. (a) Benzene (b) Cyclohexane (c) CH3-O-CH2CH2CH2Cl (d) CH3CH2-C¡¡C-H (e) (f) (CH3)2CH-O-CH2CH2OH (g) (h)...
-
How do such documents fare in terms of John Scotts criteria?
-
The differences between transformational and transactional leaders
-
Incomplete manufacturing cost data for Colaw Company for 2014 are presented as follows for four different situations. Instructions (a) Indicate the missing amount for each letter. (b) Prepare a...
-
Question 3 (1 point) Assume that the risk-free rate is 7.00% and the market risk premium is 7.00%. What is the expected return for the overall stock market (rm)? (Answer as a percent with 2 decimal...
-
You have two lightbulbs for a particular lamp. Let X = the lifetime of the first bulb and Y = the lifetime of the second bulb (both in 1000s of hours). Suppose that X and Y are independent and that...
-
Suppose we use RANDOMIZED-SELECT to select the minimum element of the array A = 3, 2, 9, 0, 7, 5, 4, 8, 6, 1. Describe a sequence of partitions that results in a worst-case performance of...
-
The kth quantiles of an n-element set are the k - 1 order statistics that divide the sorted set into k equal-sized sets (to within 1). Give an O(n lg k)-time algorithm to list the kth quantiles of a...
-
a. How do you compute the ratio-to-moving-average? Which components does it represent? b. What do you do to the ratio-to-moving-average to produce a seasonal index? Why does this work? c. What does a...
-
who do you think sets the underlying ethical standards when the law is fuzzy on an issue? as business and societal issues develop in the future, how does your opinion in this area inform your...
-
how do i introduce low risk high reward for a new medical assistant supervisor role in an organization?
-
How do individual differences in cognitive styles, such as analytical versus intuitive thinking, impact problem-solving approaches and decision-making processes within teams ?
-
In Russian government, do you think that Russian Military Performance is good in warfare against Ukraine? Explain.
-
Why do you think the competing values framework is important to an organization's effectiveness? Describe the four profiles of the competing values framework. Identify one of the profiles and provide...
-
Give the products of the reaction of trans-1,3-pentadiene with each of the reagents in Problem 49. Data From Problem 49 What products would you expect from the electrophilic addition of each of the...
-
In a large midwestern university, 30% of the students live in apartments. If 200 students are randomly selected, find the probability that the number of them living in apartments will be between 55...
-
Using a table similar to that shown in Figure 3.6, calculate the product of the hexadecimal unsigned 8-bit integers 62 and 12 using the hardware described in Figure 3.5. You should show the contents...
-
Calculate the time necessary to perform a multiply using the approach given in Figures 3.3 and 3.4 if an integer is 8 bits wide and each step of the operation takes 4 time units. Assume that in step...
-
Calculate the time necessary to perform a multiply using the approach described in the text (31 adders stacked vertically) if an integer is 8 bits wide and an adder takes 4 time units.
-
Kindly Provide brief answers to the following: a) Why do we add floatation costs in the calculations of individual components costs? b) List and briefly explain the qualitative and quantitative...
-
Which of the following statements is correct. On average, the most efficient strategy to create value for existing shareholders is: To buy back shares To offer new products in a growing market To...
-
Which investment should I choose? Bond X: AA Corporate bond, Par=$1,000, Coupon rate=5% (semiannual coupons), 5 years to maturity Bond Y: AA Corporate bond, Par=$5,000, Coupon rate=5.5% (semiannual...
Study smarter with the SolutionInn App