Suppose we are sorting an array of eight integers using quicksort, and we have just finished the first partitioning with the array looking like this: 2 5 1 7 9 12 11 10 .Which statement is correct?a.The pivot could be the 7, but it is not the 9b.The pivot is not the 7, but it could be the 9c. Neither the 7 nor the 9 is the pivot.d.The pivot could be either the 7 or the 9.
Question
Suppose we are sorting an array of eight integers using quicksort, and we have just finished the first partitioning with the array looking like this: 2 5 1 7 9 12 11 10 .Which statement is correct?a.The pivot could be the 7, but it is not the 9b.The pivot is not the 7, but it could be the 9c. Neither the 7 nor the 9 is the pivot.d.The pivot could be either the 7 or the 9.
Solution
The correct statement is a. The pivot could be the 7, but it is not the 9.
Here's why:
In quicksort, the pivot is the element used to partition the array into two halves - one half with elements smaller than the pivot and the other half with elements larger than the pivot.
Looking at the array 2 5 1 7 9 12 11 10, we can see that all elements to the left of 7 (2, 5, 1) are smaller than 7 and all elements to the right of 7 (9, 12, 11, 10) are larger than 7. This suggests that 7 could be the pivot.
However, 9 cannot be the pivot because there are elements both smaller (2, 5, 1, 7) and larger (12, 11, 10) than 9 to its left and right, respectively. Therefore, the pivot is not 9.
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