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:

Related Book For answer-question

Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

See More Books

Question Posted: Feb 25, 2020 06:09 AM

See More 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)...
At August 31, Saladino Company has the following bank information: cash balance per bank $\$ 5,200$, outstanding checks $\$ 1,462$, deposits in transit $\$ 1,211$, and a bank debit memo \(\$...
Allan and Koraev both owned condominiums in the same building. Koraevs unit was directly above Allans. While Allan lived in her own unit, Koraev leased his. The leasing of Koraevs unit was managed by...
Reichenbach Co., organized in 2011, has set up a single account for all intangible assets. The following summary discloses the debit entries that have been recorded during 2012 and 2013....
13. An analyst is valuing Red Inc. common stock using the dividend discount model. The company plans to start paying dividends with its first dividend of $3.25 per share occurring next year. To...
1. Recommend to the president that a meeting be arranged with the sales representatives entitled to a bonus and tell them that their checks are going to be delayed until Pugets financial picture...
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...
Describe Web-based GSS. This chapter has served to provide a relatively quick overview of knowledge management and collaborative systems, two movements that were really prominent in the past 20 years...
Do you think that in todays workforce it is becoming necessary to have a full-choice flexible benefits plan? Why or why not?
How are the CPI and the PCE deflator similar, and how are they different?
What management tools or processes would you use in order to evaluate your employees for remediation training?
Should the United States mandate a certain amount of paid time off per year as many other countries currently do? Why or why not?
What does the consumer price index measure? List three ways in which it differs from the GDP deflator.
After all students have left the classroom, a statistics professor notices that four copies of the text were left under desks. At the beginning of the next lecture, the professor distributes the four...
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.
In October 20X5, Pollock Company exchanged a used packaging machine having a book value of $240,000 for a new machine and paid a cash difference of $30,000. The market value of the used packaging...
Project managers should track the details of their projects to be transparent and manage risks as they arise. What is another benefit of tracking in project management?
During 2020, Nike disposed of a machine that had been acquired on January 1, 2014 for a purchase price of $20 million. The machine was being depreciated using the straight-line method, a $4 million...

Suppose that an algorithm uses only comparisons to find the i th smallest element in a set

Question:

Step by Step Answer:

Introduction to Algorithms

Students also viewed these Computer science questions