Carry out the Select algorithm on the following set, using k = 19 (return the element of rank 19). Show your steps! Ensure that you run the partition algorithm in such a way that you maintain the elements in their original relative order. 56; 78; 34; 19; 67; 32; 13; 12; 90; 92; 50; 51; 30; 1; 99; 58; 43; 42; 24; 65; 21; 25; 68; 69; 101

Database System Concepts
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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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Carry out the Select algorithm on the following set, using k = 19 (return the element of rank
19). Show your steps! Ensure that you run the partition algorithm in such a way that you maintain the
elements in their original relative order.
56; 78; 34; 19; 67; 32; 13; 12; 90; 92; 50; 51; 30; 1; 99; 58; 43; 42; 24; 65; 21; 25; 68; 69; 101

Expert Solution
Step 1

So, basically the select algorithm is used to sort a given array or a list of integer elements . The concept behind select algorithm is Take a element from beginning compare it with its following elements and if you find a lesser one then replace it .

Given array : 22,50,79,4,6,31,40,29,20,47,35,92,41,67,46,99,90,29,12,6,57,60,65,30,25.

         take min element as 22 . Now compare it with its following elements . We compare it with 50 . Is 50<22 ? No, it is not . Then we will move to next element i.e., 79 which is also bigger . Now we again move to next element i.e., 4 which is smaller element . So , Now as we have encountered a smaller element so we will swap 22 with 4 . and now our min element will be 4 , so that if we get another smaller element we can place it at first position .

4,50,79,22,6,31,40,29,20,47,35,92,41,67,46,99,90,29,12,6,57,60,65,30,25

         Now in order to check we will compare next element with 4 . So that we can place more smaller element at first 

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