Find the k-th smallest element of a

Assignment Help Mathematics

Reference no: EM131167436

Consider the following problem. Given a set A of elements with a linear order and a positive integer k, k ≤ |A|, find the k-th smallest element of A. Obviously, one can solve this problem by sorting A and then taking the k-th smallest element. But one knows that the complexity of sorting by comparisons is in Θ(n · log n) and so this naive approach is too costly for searching for the k-th position in the sorted sequence only.

Reference no: EM131167436

Questions Cloud

What are the gains from trade : The following data represents the production possibilities of two people in solving math and economic problems. If they devote their total effort and time to math, A can solve 10 math problems and B can solve 10 math problems. Now assume that they sp..

Receive a retirement bonus : Suppose that at time 30 you will receive a retirement bonus of $50,000 from your company. If the interest rate is expected to be 12 percent, compounded monthly, from now until time 30, how much would you need to save at the end of each month in or..

State the possible occurrence of the zero balance : State the possible occurrence of the zero balance account transactions when the subsidiary account balances are set at a specific target amount, rather than zero?

Sample size required to generate given confidence interval : What sample size is required to generate a 95% confidence interval for the mean annual real estate tax payment with a half-length of $100?

Find the k-th smallest element of a : Obviously, one can solve this problem by sorting A and then taking the k-th smallest element. But one knows that the complexity of sorting by comparisons is in Θ(n · log n) and so this naive approach is too costly for searching for the k-th positi..

Which project do you accept on the basis of npv : 1. Which project do you accept on the basis of NPV? 2. Which project do you accept on the basis of PI? 3. If these are the only investments available, which one do you select?

Why periodic pain is a major symptom of endometriosis : In a condition known as endometriosis, endometrial cells are believed to migrate from the body of the uterus either into the uterine tubes or through the uterine tubes and into the peritoneal cavity,Explain why periodic pain is a major symptom of e..

Draw the budget constraint-union introduces scheme : The Students Union introduces the following scheme: Students can buy a Caffeine Addict card for $50, which entitles them to a 25% discount on the price of coffee sold at the cafeteria. With coffee on the horizontal axis and income on the vertical, (i..

How large a sample do you need to take to ensure : How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 2% of the actual value?

User Account

All Pages