Let P be a quick sort program to sort numbers in ascending order using the first element as the pivot. Let t1 and t2 be the number of comparisons made by P for the input [1 2 3 4 5] and [4 1 5 3 2] respectively. Which one of the following holds?
When first element or last element is chosen as pivot, Quick Sort's worst case occurs for the sorted arrays.
In every step of quick sort, numbers are divided as per the following recurrence.
T(n) = T(n-1) + O(n)
Workspace
NA
SHSTTON
435
Solv. Corr.
431
Solv. In. Corr.
866
Attempted
1 M:15 S
Avg. Time
8 / 69
Which one of the following statements about the function Process Array is CORRECT?
Consider the C function given below. Assume the array listA contains (n>0) elements, sorted in ascending order.
int Process array (int * list A, int x, int n)
{
int i, j, k;
i =0;j=n-1;
do {
k = (i+j)/2;
if (x<=list A[k])
j=k-1;
if (list A[k] <=x)
i =k+1;
} while (i <=j);
if (list A[k] == x)
return (k);
else
return -1;
}
AIt will run into an infinite loop when x is not in listA
BIt is an implementation of binary search.
CIt will always find the maximum element in listA.
DIt will return -1 even when x is present in listA.
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