5. How many comparisons is necessary for the selection algorithm (from slides = pivot is the leftmost) to find median out of the sequence || 26,41, 15, 11, 48, 30, 47

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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Selection sort algorithm
5. How many comparisons is necessary for the selection algorithm (from slides
= pivot is the leftmost) to find median out of the sequence
26,41, 15, 11, 48, 30, 47
Transcribed Image Text:5. How many comparisons is necessary for the selection algorithm (from slides = pivot is the leftmost) to find median out of the sequence 26,41, 15, 11, 48, 30, 47
Expert Solution
Step 1

Pass 1
26 41 15 11 48 30 47 (NO SWAPS)
Swaps : 0 and Comparision : 1

Pass 2
26 15 41 11 48 30 47 (FIRST SWAP BETWEEN 15 and 41)
15 26 41 11 48 30 47
Swaps : 2 and Comparision : 2

Pass 3
15 26 11 41 48 30 47
15 11 26 41 48 30 47
11 15 26 41 48 30 47
Swaps : 3 and Comparision : 3

Pass 4
11 15 26 41 48 30 47 (No swaps)
Swaps : 0 and Comparision : 1

Pass 5
11 15 26 41 30 48 47
11 15 26 30 41 48 47
Swaps : 2 and Comparision : 3

Pass 6
11 15 26 30 41 47 48 (LAST SWAP BETWEEN 47 and 48)
Swaps : 1 and Comparision : 2


Total Swaps : 0 + 2 + 3 + 0 + 2 + 1 = 8
Total Comparisons: 1 + 2 + 3 + 1 + 3 + 2 = 12

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