The function below implements Quicksort. void Quicksort(int first, int last) { int i= first+1, j = last, pivot = data[first]; while (i < j) { while ((data[i] < pivot) && (i pivot) ) { j--; } if (ij) ({swap(&data[i], &data[j]); } } if (pivot>data[j]) {swap(&data[first], &data[j]);} if(first

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
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The function below implements Quicksort.
void Quicksort (int first, int last) {
int i = first+1, j = last, pivot = data[first];
while (i < j) {
while ((data[i] < pivot) && (i<last)) { i++; }
while ((data[j] > pivot) ) { j--; }
if (i <j) {swap(&data[i], &data[j]); }
}
if (pivot>data[j]) {swap(&data[first], &data[j]);}
if(first < j-1) { Quicksort (first, j-1); }
if(j+1 < last) { Quicksort (j+1, last); }
}
What is worst case complexity for this algorithm?
O a. O(n)
O b. O(n log(n))
O c.
0(²)
O d. O(n!)
O e. O(n log(n log(n)))
Transcribed Image Text:The function below implements Quicksort. void Quicksort (int first, int last) { int i = first+1, j = last, pivot = data[first]; while (i < j) { while ((data[i] < pivot) && (i<last)) { i++; } while ((data[j] > pivot) ) { j--; } if (i <j) {swap(&data[i], &data[j]); } } if (pivot>data[j]) {swap(&data[first], &data[j]);} if(first < j-1) { Quicksort (first, j-1); } if(j+1 < last) { Quicksort (j+1, last); } } What is worst case complexity for this algorithm? O a. O(n) O b. O(n log(n)) O c. 0(²) O d. O(n!) O e. O(n log(n log(n)))
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