In this exercise we consider algorithms that return a specific set of possible values.For each type of algorithm select the minimum number of leaves the decision-tree of acorrect algorithm can have.(In other words, what is the number of distinct values that can be returned by the algorithm?)An algorithm that returns any pair of 2 elements from an array with nChoose...elements.An algorithm that returns an array of n given elements in sorted order.Choose...An algorithm that returns an arbitrary set of n numbers where eachnumber is from the range [1.. .n].Choose...An algorithm that returns the minimal element from an array with nChoose...elements. v Choose...Theta(n^4)Theta(n^n)Theta(2^n)Theta(n)Theta(3^n)Theta(n^2)Theta(n^3)Theta(n!)Theta(log n)Theta(sqrt(n))

Theta notation is the average value or range within which the actual time of execution of the…

Answered: v Choose... Theta(n^4) Theta(n^n)…

v Choose... Theta(n^4) Theta(n^n) Theta(2^n) Theta(n) Theta(3^n) Theta(n^2) Theta(n^3) Theta(n!) Theta(log n) Theta(sqrt(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

Problem 1PE

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Concept explainers

Dynamic Multithreading

An algorithm that executes a single instruction in a uniprocessor system is called a serial algorithm. In the case of a multiprocessor computer system, multiple instructions are executed in parallel. A multithreaded algorithm is an algorithm that enables multiple instances of the code to be executed concurrently.Multithreading is a concept that allows the CPU to execute threads independently while sharing similar resources. It is an important CPU feature that works on the process. Thread is a sequence of instructions that executes in parallel with other threads. Because of multithreading, multiple tasks can be performed within a single process.

Question

In this exercise we consider algorithms that return a specific set of possible values.
For each type of algorithm select the minimum number of leaves the decision-tree of a
correct algorithm can have.
(In other words, what is the number of distinct values that can be returned by the algorithm?)
An algorithm that returns any pair of 2 elements from an array with n
Choose...
elements.
An algorithm that returns an array of n given elements in sorted order.
Choose...
An algorithm that returns an arbitrary set of n numbers where each
number is from the range [1.. .n].
Choose...
An algorithm that returns the minimal element from an array with n
Choose...
elements.

v Choose...
Theta(n^4)
Theta(n^n)
Theta(2^n)
Theta(n)
Theta(3^n)
Theta(n^2)
Theta(n^3)
Theta(n!)
Theta(log n)
Theta(sqrt(n))

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