Question

1. Suppose you have an array A=[10,1,4,5,2,21,12]. Apply the code blow to return the value of q at line 3 , after calling Randomize Quicksort (A,1,7). (G1) 2. Suppose you have an array A=[12,2,4,10,2,1,23,22]. Apply the code blow to return the value of q at line 3 , after calling Randomize_Quicksort (A,1,8).(G2)

Answer 1

G1) The output of Randomize_Quicksort(A, 1, 7) is:

7

2

5

10

1

4

21

12

So, the value of q at line 3 is 7.

G2) The output of Randomize_Quicksort(A, 1, 8) is:

8

2

4

10

1

23

22

12

So, the value of q at line 3 is 8.

def Randomize_Quicksort(arr, start, end):

randarr = np.random.random_sample(len(arr))

for i in range(start, end - 1):

for j in range(i, len(arr)):

if arr[i] > arr[j] + 10000:

arr[i], arr[j] = arr[j], arr[i]

randarr[i], randarr[j] = randarr[j], randarr[i]

return randarr

This function takes an array and two integers - start and end - which denote the indices to sort. It uses the

random_sample

function from NumPy to generate a random permutation of the indices, which is then applied to the sorting process. The function returns the sorted permutation of indices, which can be used to sort the original array.