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# GATE | GATE IT 2006 | Question 45

• Difficulty Level : Medium
• Last Updated : 16 Nov, 2020

Suppose that we have numbers between 1 and 100 in a binary search tree and want to search for the number 55. Which of the following sequences CANNOT be the sequence of nodes examined?
(A) {10, 75, 64, 43, 60, 57, 55}
(B) {90, 12, 68, 34, 62, 45, 55}
(C) {9, 85, 47, 68, 43, 57, 55}
(D) {79, 14, 72, 56, 16, 53, 55}

Answer: (C)

Explanation: In BST, on right child of parent should be greater than parent and left child should be smaller than the parent, but in C after 47, 68 goes on the right side because it greater then parent, now everything below this point should be greater then 47 but 43 appears that does not satisfy the BST property.

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