Exercise 2. Let a be some constant, independent of the input array length n, strictly between 0 and 1/2. What is the probability that, with a randomly chosen pivot element, the Partition function produces a split in which the size of both the resulting subproblems is at least a n. Choose the answer from the following list and justify your answer. • α • 1 - a . 1 - 2a • 2 - 2a Answer:

Exercise 2. Let a be some constant, independent of the input array length n, strictly between 0 and 1/2. What is the probability that, with a randomly chosen pivot element, the Partition function produces a split in which the size of both the resulting subproblems is at least a n. Choose the answer from the following list and justify your answer. • α • 1 - a . 1 - 2a • 2 - 2a Answer:

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

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

**Exercise 2.** Let α be some constant, independent of the input array length n, strictly between 0 and 1/2. What is the probability that, with a randomly chosen pivot element, the Partition function produces a split in which the size of both the resulting subproblems is at least α · n. Choose the answer from the following list and justify your answer.

- α
- 1 − α
- 1 − 2α
- 2 − 2α

**Answer:**

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