1. Apply Quick-sort on a given sequence 71 21 10 95 76 3 50 61. What is the sequence after the first phase, the pivot is the first element? 3 10 21 50 61 71 76 95 21 103 50 61 76 95 71 61 21 10 3 50 71 76 95 61 213 10 50 71 76 95 None 2. Consider the Quick-sort algorithm, which partitions elements into two sub-arrays, each of which contains at least one-tenth of the elements. Allow T(n) to represent the number of comparisons necessary to sort an array of n elements. T(n) = 2 T(n/10) + cn T(n) = T(n/10) + T(9n/10) + cn T(n) = 2 T(n/10) + c T(n) = T(n/10) + T(9n/10) + c None 3. Which of the following statements about merge sort is not correct? stable algorithm an adaptive algorithm out of place algorithm a comparison-based sort

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
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1. Apply Quick-sort on a given sequence 71 21 10 95 76 3 50 61. What is the sequence after the first
phase, the pivot is the first element?
3 10 21 50 61 71 76 95
21 10 3 50 61 76 95 71
61 21 10 3 50 71 76 95
61 213 10 50 71 76 95
None
2. Consider the Quick-sort algorithm, which partitions elements into two sub-arrays, each of which
contains at least one-tenth of the elements. Allow T(n) to represent the number of comparisons
necessary to sort an array of n elements.
T(n) = 2 T(n/10) + cn
T(n) = T(n/10) + T(9n/10) + cn
T(n) = 2 T(n/10) + c
T(n) = T(n/10) + T(9n/10) + c
None
3. Which of the following statements about merge sort is not correct?
stable algorithm
an adaptive algorithm
out of place algorithm
a comparison-based sort
Transcribed Image Text:1. Apply Quick-sort on a given sequence 71 21 10 95 76 3 50 61. What is the sequence after the first phase, the pivot is the first element? 3 10 21 50 61 71 76 95 21 10 3 50 61 76 95 71 61 21 10 3 50 71 76 95 61 213 10 50 71 76 95 None 2. Consider the Quick-sort algorithm, which partitions elements into two sub-arrays, each of which contains at least one-tenth of the elements. Allow T(n) to represent the number of comparisons necessary to sort an array of n elements. T(n) = 2 T(n/10) + cn T(n) = T(n/10) + T(9n/10) + cn T(n) = 2 T(n/10) + c T(n) = T(n/10) + T(9n/10) + c None 3. Which of the following statements about merge sort is not correct? stable algorithm an adaptive algorithm out of place algorithm a comparison-based sort
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