This set of Data Structures & Algorithms Multiple Choice Questions & Answers (MCQs) focuses on “Skew Heap”.

**1. What is the time per operation of merging, insertion and deletion operations in a skew heap?**

A) O(N)**B) O(log N)**

C) O(N log N)

D) O(N^{2})

Explanation: Merging, addition, and deletion are all possible with skew heaps in O(log N) time per process.

**2. Why would a recursive implementation fail in skew heaps?**

A) skew heaps are self adjusting

B) efficiency gets reduced**C) lack of stack space**

D) time complexity

Explanation: Even if the output is reasonable in scatter heaps, a recursive implementation can fail due to a lack of stack space.

**3. Which of the following is difficult to determine the right path length?****A) Skew heaps**

B) Binomial tree

C) Leftist heap

D) d-heap

Explanation: Determining the estimated right path length of both leftist and skew heaps is an open challenge, with the latter being more difficult.

**4. The worst case analysis for a naïve merge is given as?****A) O(N)**

B) O( log N)

C) O( N log N)

D) O(N^{2})

Explanation: An insertion in a right heavy tree is the worst-case scenario for the nave merge. As a result, insertion takes O. (N).

**5. How many types of the merge are available in skew heaps?**

A) 1**B) 2**

C) 3

D) 4

Explanation: In skew heaps, there are two types of merges: nave merge and skew merge.

**6. Naïve merge cannot be done in a skew merge.**

A) true**B) false**

Explanation: Starting with nave merge and then swapping the left and right children of the tree is one way to do skew merge.

**7. What is the amortized efficiency of skew merge?**

A) O(N)**B) O( log N)**

C) O( N log N)

D) O(N^{2})

Explanation: The amortised utility of a skew heap is considered to be O mathematically ( log N).

**8. In skew heaps, certain constraints are to be met in order to perform swapping.**

A) true**B) false**

Explanation: Swaps are unconditional in skew heaps. With the exception of the largest of all nodes, which does not have its children switched, this is finished.

**9. ___________ is a self-adjusting version of a leftist heap.**

A) Rightist heap**B) Skew heap**

C) d-heap

D) Binary heap

Explanation: A skew heap is a self-adjusting, easier-to-implement variant of a leftist heap.

**10. The worst case running time of all operations in a skew heap is given as?****A) O(N)**

B) O(N log N)

C) O(N^{2})

D) O(M log N)

Explanation: Mathematically, the worst case running time of all operations in a skew heap is O. (N).

**11. What is the amortized cost per operation of a skew heap?**

A) O(N)

B) O(N log N)

C) O(N^{2})**D) O(log N)**

Explanation: Since the worst case analysis of a skew heap is O(N) and the splay tree is O(N), the amortised cost per operation of a skew heap is O(log N) (M log N).

**12. The relationship of skew heaps to leftist heaps is analogous to that of?****A) Splay tree and AVL tree**

B) Red black tree and AVL tree

C) Binary tree and Splay tree

D) Binary tree and Red black tree

Explanation: A self-adjusting variant of the AVL tree is the Splay tree. Similar to leftist heap, skew heap is a self-adjusting variant of it.

**13. What is the fundamental operation performed in skew heaps?**

A) intersection

B) difference**C) merging**

D) sorting

Explanation: Merging is the basic operation of skew heaps. As a result, it resembles a radical heap.

A skew heap (also known as a self-adjusting heap) is a binary tree-based heap data structure. Skew heaps are more beneficial than binary heaps because they can combine more easily. Since there are no structural limitations, unlike binary heaps, there is no guarantee that the tree’s height will be logarithmic. Just two requirements must be met: The heap’s overall order must be followed. Any operation on two skew heaps (add, remove min, merge) must be performed with a special skew heap merge. When merging two heaps, a skew heap is a self-adjusting variant of a leftist heap that attempts to preserve balance by unconditionally swapping all nodes in the merge direction.