GATE | CS | 2019 | Algorithm | Complexity Analysis | Question 49

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Consider the following statements:

  • I. The smallest element in a max-heap is always at a leaf node.
  • II. The second largest element in a max-heap is always a child of the root node.
  • III. A max-heap can be constructed from a binary search tree in Θ(n) time.
  • IV. A binary search tree can be constructed from a max-heap in Θ(n) time.

Which of the above statements is/are TRUE?

II, III and IV

I, II and III

I, III and IV

I, II and IV

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