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(C++ Psuedocode) A pair of nodes x, y in a (supposed) binary search tree violate the...

(C++ Psuedocode) A pair of nodes x, y in a (supposed) binary search tree violate the BST property if x is an ancestor of y, and the corresponding values are “out of order”. Given a BST, find the number of pairs that violate the BST property.

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Answer #1

case 1) The violets nodes are not adjacent

For example, Nodes6 and 25 are changes n {4 6 7 8 11 16 21 25}.

maintain three pointers, first, middle and last.

When we find the first point violets where current node value is smaller than previous node value,

update the first with the previous node & middle with the current node.

When find the second point violets where current node value is smaller than previous node value,

we update the last with the current node.

Case 2) The violets nodes are adjacent

we will never find the second point. So, last pointer will not be updated. After processing, if the last node value is null, then two swapped nodes of BST are adjacent.

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