Answer the given question with a proper explanation and step-by-step solution. Question 1 What is the worst time complexity for inserting an arbitrary item into a AVL tree? 0(n) 0 (log2 (n)) 0(1) 0(n^2) 0 (n log2 (n))   Question 2 What is the worst time complexity for inserting an arbitrary item into a binary search tree? 0(n) 0 (log2(n)) 0(1) 0 (n^2) 0 (n log2 (n))   Question 13 What is the time complexity for efficiently ordering elements (sorting) from a binary search tree? 0 (n) 0 (Log2 (n)) 0(1) 0(n^2) 0 (n log2 (n))

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
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Answer the given question with a proper explanation and step-by-step solution.

Question 1

What is the worst time complexity for inserting an arbitrary item into a AVL tree?

0(n)

0 (log2 (n))

0(1)

0(n^2)

0 (n log2 (n))

 

Question 2

What is the worst time complexity for inserting an arbitrary item into a binary search tree?

0(n)

0 (log2(n))

0(1)

0 (n^2)

0 (n log2 (n))

 

Question 13

What is the time complexity for efficiently ordering elements (sorting) from a binary search tree?

0 (n)

0 (Log2 (n))

0(1)

0(n^2)

0 (n log2 (n))

 

Question 11

The average Big O runtime to find an arbitrary element in an arbitrary AVL tree is roughly equal to the element in which other data structure or structures?

Queue

Hash Table

Sorted Array

LinkedList

None of the above

 

Question 13

What is the time complexity for efficiently ordering elements (sorting) from a binary search tree?

0 (n)

0 (log2 (n))

0(1)

0 (n^2)

0 (n log2 (n))

 

Question 23

What is the time complexity of the most time efficient algorithm for sorting an array of n arbitrary items and thi items in the sorted array (where m < n and the largest element < n)?

0 (n + m)

0 (n + m log2 (n))

0(m +n log2 (m))

0 (n log2 (n) + m log2 (n))

0 (n m)

 

Question 24

Which is generally considered to be a better time complexity?

0 (nlog2 (n))

0 (n^2)

0 (n)

0 (2^n)

0 (n^2 log2 (b))

 

Question 26

What is the time complexity of the most time efficient algorithm for performing m searches for arbitrary items in a sorted array of n it n and the largest element < n)?

0 (m)

0 (m log2 (n))

0 (n log2 (m))

0(n log2 (n))

0 (n m)

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