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

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 16PE: The implementation of a queue in an array, as given in this chapter, uses the variable count to...
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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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