Analyze SELECT to show that if n 140, then at least n/4 elements are greater than

Question:

Analyze SELECT to show that if n ≥ 140, then at least ⌈n/4⌉ elements are greater than the median-of-medians x and at least ⌈n/4⌉ elements are less than x.

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 06:02 AM

See More Questions

We can make the quick-select algorithm deterministic, by choosing the pivot of an n-element sequence as follows: Partition the set S into n/5 groups of size 5 each (except possibly for one group)....
Show that if n | m, where n and m are integers greater than 1, and if a b (mod m), where a and b are integers, then a b (mod n)?
Show that if n people are distributed at random along a road L miles long, then the probability that no 2 people are less than a distance D miles apart is when D L/(n 1), [1 (n 1)D/L]n. What if D...
Given: MIII; Prove: M Use the definitions and postulates given in Example 2 to prove the theorems in Problems 914. Give both statements and reasons.
Using a 60-MHz spectrometer, a chemist observes the following absorption: doublet, J = 7 Hz, at 4.00 (a) What would the chemical shift ()be in the 300-MHz spectrum? (b) What would the splitting...
The following information is available for Bohemia Company for the month of June: expected cash receipts $\$ 73,000$, expected cash disbursements $\$ 81,000$, and cash balance on June 1 , \(\$...
Beng-Yu Woo, Xiaoming Li, and Vivian Hsiun created and patented an invention titled Full Duplex Single Chip Video Codec. At the time, Woo, Li, and Hsiun were employees of Infochips Systems, Inc....
Portland Company's Ironton Plant produces precast ingots for industrial use. Carlos Santiago, who was recently appointed general manager of the Ironton Plant, has just been handed the plant's income...
A broadcasting antenna emits a power of 40 W. The gain of the antenna is 300L. The receiving antenna is at a distance of 50 km from the transmitting antenna, and its effective surface area is 10-2 m....
It is October 16, 2014, and you have just taken over the accounting work of China Moon Products, whose annual accounting period ends October 31. The company's previous accountant journalized its...
Argue that the indicator random variable X k and the value T(max(k - 1, n - k)) are independent.
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...
A farmer has an annual budget of $1,200 for barley seed, with which he can plant 30 acres of barley. If next year the cost per pound of the seed is projected to decrease by 20%, how many acres will...
Do you agree that selection of a top-quality candidate is a critical process in organizations, or do you think intensive training after the person is selected is more valuable? Explain your answer.
Suppose that the government levies a tax on oil companies equal to a proportion of the value of the companys oil reserves. (The government assures the firms that the tax is for one time only.)...
What options do you see as alternatives to recruiting globally for knowledge-based jobs in the coming years?
Would you rather have higher pay or better benefits? Why?
The U.S. residential construction contracting industry includes about 160,000 establishments (single-location companies and units of multilocation companies) with annual revenue of about $425...
The pmf of the amount of memory X (GB) in a purchased flash drive was given in Example 3.13 as Compute the following: a. E(X) b. V(X) directly from the definition c. The standard deviation of X d....
What is the maximum volume of 0.25 M sodium hypochlorite solution (NaOCl, laundry bleach) that can be prepared by dilution of 1.00 L of 0.80 M NaOCl?
What is 4365 - 3412 when these values represent signed 12-bit octal numbers stored in sign-magnitude format? The result should be written in octal. Show your work.
Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate 185 122. Is there overflow, underflow, or neither?
Assume 185 and 122 are signed 8-bit decimal integers stored in sign-magnitude format. Calculate 185 + 122. Is there overflow, underflow, or neither?
Halifax Manufacturing allows its customers to return merchandise for any reason and receive a credit to their accounts. All of Halifax's sales are for credit (no cash is collected at the time of...
1. Durango Mountain Bike Tours' ending cash balance as of December 31, 2020 was $10,000. Its expected cash collections and payments for the next six months are given in the following table. Month...
Morning Dove Company manufactures one model of birdbath, which is very popular. Morning Dove sells all units it produces each month. The relevant range is 0 to 1,500 units, and monthly production...

Analyze SELECT to show that if n 140, then at least n/4 elements are greater than

Question:

Step by Step Answer:

Introduction to Algorithms

Students also viewed these Computer science questions