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Which of the following is TRUE?
  • a)
    The cost of searching an AVL tree is θ (log n) but that of a binary search tree is O(n)
  • b)
    The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ (n log n)
  • c)
    The cost of searching a binary search tree is O (log n ) but that of an AVL tree is θ(n)
  • d)
    The cost of searching an AVL tree is θ (n log n) but that of a binary search tree is O(n)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is TRUE?a)The cost of searching an AVL tree is ...
AVL tree is a balanced tree.
AVL tree's time complexity of searching = θ(logn) 
But a binary search tree, may be skewed tree, so in worst case BST searching time = θ(n)
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Which of the following is TRUE?a)The cost of searching an AVL tree is θ (log n) but that of a binary search tree is O(n)b)The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ (n log n)c)The cost of searching a binary search tree is O (log n ) but that of an AVL tree is θ(n)d)The cost of searching an AVL tree is θ (n log n) but that of a binary search tree is O(n)Correct answer is option 'A'. Can you explain this answer?
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