When QuickSort repeatedly produces highly skewed partitions (for example, the pivot always becomes the smallest or largest element), what is the resulting time complexity, given the explanations below?  单项选择题

A

Θ(n²) — because the recursion depth becomes n and each level involves linear work

B

Θ(n log n) — because the recursion tree remains balanced regardless of pivot choice

C

Θ(1) — because partitioning becomes a constant time operation in the worst case

D

Θ(log n) because only logarithmic levels of recursion are needed to reach the base case

E

Θ(n) — because each element is compared only once during the entire process

F

Θ(n²) — because the partition operation takes quadratic time on sorted inputs

G

Θ(n²) — because the algorithm reverts to a linear search pattern

H

Θ(n²) — because the recursion depth becomes 1 and each level has linear work

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类似问题

Which of the following statements are true regarding Quicksort?

Sorting Complexity For an array of N integers that are in the ascending order  as shown below, give the time complexity for each sorting algorithm. 1,2,3, ... , N-2, N-1, N 1: Insertion Sort 2: Selection Sort 3: Bubble Sort 4: Merge Sort 5: Tree (BST) Sort (hint:Is BST very unbalanced?)

Sorting The following is the correct operation sequence of the _____________ sort. A.     Input: 3  4  5  1  6  2     iteration 1: 3 4  1 5  2 6     iteration 2: 3 1  4 2  5  6     iteration 3: 1 3  2 4  5  6     iteration 4: 1 2  3 4  5  6     iteration 5: 1 2  3 4  5  6 B.     Input: 3  4  5  1  6  2     iteration 1: 3  4  5  1  6  2     iteration 2: 3  4  5  1  6  2     iteration 3: 1 3  4  5 6  2     iteration 4: 1  3  4  5  6  2     iteration 5: 1  2  3  4  5  6   C:   Input:          3  4  5  1  6  2     iteration 1:   1  4  5  3  6  2     iteration 2:    1  2  5  3  6  4     iteration 3:    1  2  3  5  6  4     iteration 4:    1  2  3  4  6  5         iteration 5:    1  2  3  4  5  6   1: A 2: B 3: C

Which of the following statements are true?

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