Answered: What is the worst case Big-O of union…

Engineering

Computer Science

What is the worst case Big-O of union in a disjoint set by height or by size?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Formally prove or disprove the following claim, using any method T(n) = 4T(n/2) + n is (n^2)

A: In this question we have been given a recurrence relation claim where we need to disprove or prove…

Q: Solve the recurrence below in the same style as done in lecture. Simplify any formula you get.…

A: The question is solved in step2

Q: Prove that the set of positive odd numbers (1, 3, 5, 7, 9, ...) (call the set ODD) is countable (has…

A: Solution to the given question, Introduction: In standard mathematics , "countable " means finite…

Q: Suppose arrays A and B are both sorted in increasing order and both contain n elements. What is the…

A: Ans: Suppose arrays A and B are both sorted in increasing order and both contain n elements, the…

Q: Given T1(n)=O(f(n)) and T2(n)=C(g(n)). Find T1(n).T2(n)

A: Given :- The time complexity of two function f(n) and g(n) is mention in the above given question…

Q: Can you help me solve this in python

A: The ask is to write a python program to find out how many binomial coefficients are greater than 10…

Q: how that f(n)= n2+2n+1 is O (n2). and also show that f(n)= n2+2n+1 is not O(n). Compute c an

A: Proving Big-Oh: Example 1 Show that f (n) = n2 + 2n + 1 is O(n2). Choose k = 1. Assuming n > 1,…

Q: True/False? Let f(n)=O(g(n)) and g(n)=O(T(n)). Is this true that f(n)=O(T(n))? Prove your claim and…

A: Asymptotic notation is a mathematical framework used to describe the behavior of functions as their…

Q: Find a regular expression for the set {a"bm:(n + m) is even}.

A: Given: We are given a language L = { a^nb^m : (n+m) is even} Goal: To find the regular expression…

Q: If set A has size m, and set B has size n, then what is the size of the cross product of A and B?…

A: Introduction: A set is a collection of distinct and well-defined objects, which can be numbers,…

Q: : a. [(a mod n) - (b mod n)] mod n = (a - b) mod n

Q: Let d p(n) = [a¡n', i=0 where ad > 0, be a degree-d polynomial in n, and let k be a constant. Use…

A: SOLUTION - e. If k <d, then p(n) = w(nk). Below I have added the image of the solution -…

Q: Proof that (11^n) −6 is divisible by 5 for all values of n ≥1

A: We have to prove that (11^n) −6 is divisible by 5 for all values of n ≥1. Using Induction method we…

Q: Given an n-element sequence of integers, an algorithm executes an O(n)-time computation for…

A: In the worst case, the input sequence consists of n even numbers. For each even number, the…

Q: Given two sorted arrays, each of length n, we can merge them into a sorted array in O(n) time. True…

A: First Question: Given two sorted arrays, each of length n, we can merge them into a sorted array in…

Q: Given the recurrence T(n) = T(n – 1) + O(n) What is the corresponding big-O? O(n)…

A: Explanation: The recurrence-relation is indeed a mathematical-formula that describes an algorithm's…

Q: Can someone explain how the ouput is, 642211431136 def Q3(n): if (n <= 0):…

A: I have fixed to print desired output--------- After fixing , I have provided PYTHON CODE…

Q: Explain, with an example why the following definition, would not be suitable or useful: f(n) is Ω(…

A: This is about time complexity.

Q: Formally prove or disprove the following claim, using any method T(n) = 3T(n/2) + 5 is O(n^log2(3))

A: Time complexity of the program is the total time required to execute the code. There are three types…

Q: Let P(n) be the statement “the number 2^2n -1 is divisible by 3”. Use mathematical induction to show…

A: I have given solution in next step.

Q: TRUE OR FALSE N Queens' problem can be effectively solved using dynamic programming.

A: The answer for the above question is given in the following step for your reference.

Q: Show that 5n+5 is O(n). (pick c and n0)

Q: 2) Prove divisible by 3 for any integer nzo. that n(n²+s) is divisible by 3 for Let n 1 1 (1² +5) =…

A: Please see the solutions.Explanation: Step 3: Step 4:

Q: Prove that the sum of the first n odd positive integers is n2. In other words, show that 1 + 3 + 5 +…

A: To prove that the sum of the first n odd positive integers is n^2, we will use mathematical…

Question

100%

What is the worst case Big-O of union in a disjoint set by height or by size?
a. O(n)
b. O(1)
c. O(log n)
d. O(n log n)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Explanation

VIEW

Correct Option

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The solution of the following recurrence T(n) = T(n/2) + n is: Select one: O a. O(log n) O b. O(n log n) O c. 0(n) O d. O(n^2)
An integer n is called k-perfect if u(n) =kn. Note that a perfect number is 2-perfect. Showthat 120 = 23 • 3 · 5 is 3-perfect.
Let n be an integer, use the definition of even to prove that 18n + 2 is even. 18n + 2 = Since X is an integer, is also an integer. Since 18n +2 equals 2 times an integer, 18n + 2 is even.
Prove or disprove that if f₁ (n) = N(9₁ (n)) and f2 (n) = N(92 (n)), then f₁ (n) + f2 (n) = 2 (min {9₁ (n), 92 (n)}).
f(n) = 1 if n is odd f(n) = n if n is even 1. Prove/disprove that f(n) is O(n) (Big-Oh) 2. Prove/disprove that f(n) is Omega (n) 3. Prove/disprove that f(n) is Theta (n)
Prove the following by induction, substitution, or by definition that 13n+ 10 = O(n²). Definition of Big O f(n) = O(g(n)) means there are positive constants c and no, such that ≤ f(n) ≤ cg(n) for all n ≥ no.
Show that T(n) = O(n²) where T(n) = 1 + 2 + 3+...+n
1. How to solve the following recurrence using backward substitution. O T(n) = /2 * T(n/2) + c, for n> 1 T(1) = a 0 (n²) o(n*) O(n log n) O (2")
2. Show that either g(n) = oVn)) or fin) = O(g(n)) for the following. a. 9 n 2 n+5n. fn-n'-4n b. 9 n =n+ 6,f n =4 lg n?
Formally prove or disprove the following claim: log2 (n 2 ) is O(n), for n ≥ 1
Prove by induction that fib(0)+fib(1)+…+fib(n) = fib(n+2)-1, fib(0)=0 fib(1)=1