Data Structures | Binary Search Trees | Question 1

What is the worst case time complexity for search, insert and delete operations in a general Binary Search Tree?
(A) O(n) for all
(B) O(Logn) for all
(C) O(Logn) for search and insert, and O(n) for delete
(D) O(Logn) for search, and O(n) for insert and delete


Answer: (A)

Explanation: In skewed Binary Search Tree (BST), all three operations can take O(n). See the following example BST and operations.

          10
        /
       20
      /
     30
    / 
   40

Search 40. 
Delete 40
Insert 50.

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