Show that a sequence of n distinct numbers contains a decreasing or increasing subsequence of size at

Question:

Show that a sequence of n distinct numbers contains a decreasing or increasing subsequence of size at least [√n].

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Algorithm Design And Applications

ISBN: 9781118335918

1st Edition

Authors: Michael T. Goodrich, Roberto Tamassia

See More Books

Question Posted: Aug 10, 2020 06:32 AM

See More Questions

Given a sequence S=(x 0 ,x 1 , . . . ,x n1 ) of numbers, describe an O(n 2 )-time algorithm for finding a longest subsequence T = (x i0 ,x i1 , . . . ,x ik1 ) of numbers, such that i j < i j+1 and x...
Describe an O(n)-time algorithm that, given a set S of n distinct numbers and a positive integer k n, determines the k numbers in S that are closest to the median of S.
Give an O(n 2 )-time algorithm to find the longest monotonically increasing subsequence of a sequence of n numbers.
Copper Industries (a sole proprietorship) sold three 1231 assets during 2015. Data on these property dispositions are as follows: a. Determine the amount and the character of the recognized gain or...
A element of material in plane strain (see figure) is subjected to strains, (x = 480 ( 10-6, (y = 70 ( 10-6, and (xy = 420 ( 10-6. Determine the following quantities: (a) the strains for an element...
Why are some ethnographic styles of writing imbued with realism?
What s measures. Add 2 to each of the numbers in data set (a) in the previous exercise. The data are now 6 2 3 6 5 8. (a) Use a calculator to find the mean and standard deviation and compare your...
Return to the case of the diagnostic scanner discussed in Problems 1 through 6. Suppose the entire $5,200,000 purchase price of the scanner is borrowed. The rate on the loan is 8 percent, and the...
The assets and liabilities of Thompson Computer Services at March 31, the end of the current year, and its revenue and expenses for the year are listed below. The common stock was $119,400 and the...
Below is the gist of an article from BusinessWeek. After reading it: a. identify the broad problem area b. explain how you would proceed further. Two years ago, Electronic Arts, the second-largest...
Consider a variant of the telescope scheduling problem, where we are given a list, L, of n observational requests for a large telescope, but now these requests are specified differently. Instead of...
When data is transmitted across a noisy channel, information can be lost during the transmission. For example, a message that is sent through a noisy channel as WHO PARKED ON HARRY POTTERS SPOT?...
A numbered wheel is divided into eight sectors of equal size, as shown. The wheel is spun until it stops with the arrow pointing at one of the numbers. Axel decides to spin the wheel 400 times. a....
If a change were made to Technical Spec 2 in the product's design, this would likely change the customer's opinion of which value feature the most? Quick Start Quick Start QFD Matrix 1 = Strong...
You are a quality management consultant for the Beserk Tennis Ball Company. Beserk is redesigning its current model of tennis ball, and you are asked to use QFD analysis to make suggestions about...
You are reviewing a tender evaluation that is to be awarded on lowest total price. The bid evaluations follow: To which company should the contract be awarded? Company Capital Cost Maintenance...
You have invited four companies to bid on a consulting project. All four companies answered your invitation to tender, but the bids vary in the number of hours each company estimates will be required...
Boston Cycles inventory data for the year ended December 31, 2011, follow: Assume that the ending inventory was accidentally overstated by $2,200. Requirement 1. What are the correct amounts for cost...
One card is drawn from a standard 52-card deck. Determine the probability that the card is a a) A queen. b) A queen, given that the card is a face card.
A handrail, which weighs 120 N and is 1.8 m long. was mounted to a wall adjacent to a small set of steps (Figure P4.26). The support at A has broken, and the rail has fallen about the loose bolt at 8...
Give an example of a C++ code fragment that performs an array reference that is possibly out of bounds, and if it is out of bounds, the program catches that exception and prints an appropriate error...
Generalize the Person-Student class hierarchy to include classes Faculty, Under graduate Student, Graduate Student, Professor, Instructor. Explain the inheritance structure of these classes, and...
Consider the following code fragment: class Object { public: virtual void printMe() = 0; }; class Place : public Object { public: virtual void printMe() { cout < < "Buy it. "; } }; class Region :...
Which of the following programs covers custodial care? A HMOs B Medicare Part B C PPOs D Medicare Part A E Medicaid
uppose a taxpayer has exhausted his lifetime exclusion amount and has $14 million. a. Assuming a flat 40% gift tax rate, what is the maximum amount a taxpayer can transfer to her daughter (and still...
Physical Units Method, Relative Sales Value Method Farleigh Petroleum, Inc., is a small company that acquires high - grade crude oil from low - volume production wells owned by individuals and small...

Show that a sequence of n distinct numbers contains a decreasing or increasing subsequence of size at

Question:

Step by Step Answer:

Given a array of N integer we need to find the long sub sequence in d...View the full answer

Algorithm Design And Applications

Students also viewed these Computer science questions