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Consider below statements about Heap Data Structure
i) Time complexity of making a Min Heap from n unsorted elements is O(n)
ii) Heap is preferred over Linked list for implementation of Doubly Ended Queue.
iii) Heap is preferred over Binary Search Tree for implementation of Priority Queue.
iv) To heapify a node in Heap, all subtrees of the node must be heapified.
v) If we use Singly Linked List instead of array for implementation Heap, then time complexity of build heap increases.
 
Q.Which of the above are true?
  • a)
    Only i, ii, iii and v
  • b)
    Only i, iii and iv
  • c)
    Only i, iii, iv and v
  • d)
    Only i and iv
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider below statements about Heap Data Structurei) Time complexity ...
Explanation of Heap Data Structure Statements
Let's evaluate each statement regarding the heap data structure:
i) Time complexity of making a Min Heap from n unsorted elements is O(n)
- True: The process of building a heap from an unsorted array can be done in O(n) time using the "heapify" method, which is efficient compared to inserting elements one by one.
ii) Heap is preferred over Linked list for implementation of Doubly Ended Queue.
- False: A doubly-ended queue (deque) allows insertion and deletion from both ends. A linked list is generally more efficient for this purpose, as it allows constant time insertions and deletions at both ends, while a heap does not provide this flexibility.
iii) Heap is preferred over Binary Search Tree for implementation of Priority Queue.
- True: Heaps provide efficient access to the highest (or lowest) priority element in O(1) time and allow insertion and deletion in O(log n) time. In contrast, a binary search tree does not guarantee this efficiency for priority queue operations.
iv) To heapify a node in Heap, all subtrees of the node must be heapified.
- False: When heapifying a node, we only need to ensure that the node itself and its immediate children satisfy the heap property. The subtrees do not need to be heapified before heapifying the node.
v) If we use Singly Linked List instead of array for implementation Heap, then time complexity of build heap increases.
- True: Using a singly linked list complicates access to elements, making it harder to perform operations required for heap construction, thus increasing the time complexity compared to using an array.
Based on the evaluations, the correct statements are i, iii, iv, and v, leading to the answer: option 'C'.
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Consider below statements about Heap Data Structurei) Time complexity of making a Min Heap from n unsorted elements is O(n)ii) Heap is preferred over Linked list for implementation of Doubly Ended Queue.iii) Heap is preferred over Binary Search Tree for implementation of Priority Queue.iv) To heapify a node in Heap, all subtrees of the node must be heapified.v) If we use Singly Linked List instead of array for implementation Heap, then time complexity of build heap increases.Q.Which of the above are true?a)Only i, ii, iii and vb)Only i, iii and ivc)Only i, iii, iv and vd)Only i and ivCorrect answer is option 'C'. Can you explain this answer?
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Consider below statements about Heap Data Structurei) Time complexity of making a Min Heap from n unsorted elements is O(n)ii) Heap is preferred over Linked list for implementation of Doubly Ended Queue.iii) Heap is preferred over Binary Search Tree for implementation of Priority Queue.iv) To heapify a node in Heap, all subtrees of the node must be heapified.v) If we use Singly Linked List instead of array for implementation Heap, then time complexity of build heap increases.Q.Which of the above are true?a)Only i, ii, iii and vb)Only i, iii and ivc)Only i, iii, iv and vd)Only i and ivCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider below statements about Heap Data Structurei) Time complexity of making a Min Heap from n unsorted elements is O(n)ii) Heap is preferred over Linked list for implementation of Doubly Ended Queue.iii) Heap is preferred over Binary Search Tree for implementation of Priority Queue.iv) To heapify a node in Heap, all subtrees of the node must be heapified.v) If we use Singly Linked List instead of array for implementation Heap, then time complexity of build heap increases.Q.Which of the above are true?a)Only i, ii, iii and vb)Only i, iii and ivc)Only i, iii, iv and vd)Only i and ivCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider below statements about Heap Data Structurei) Time complexity of making a Min Heap from n unsorted elements is O(n)ii) Heap is preferred over Linked list for implementation of Doubly Ended Queue.iii) Heap is preferred over Binary Search Tree for implementation of Priority Queue.iv) To heapify a node in Heap, all subtrees of the node must be heapified.v) If we use Singly Linked List instead of array for implementation Heap, then time complexity of build heap increases.Q.Which of the above are true?a)Only i, ii, iii and vb)Only i, iii and ivc)Only i, iii, iv and vd)Only i and ivCorrect answer is option 'C'. Can you explain this answer?.
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