Yes, there exists a Binary Search Tree (BST) and a query value X such that searching for X in the BST visits the sequence: 100, 40, 70, 101, 141.
Yes, there can be multiple Binary Search Trees (BSTs) that produce the given sequence during a search. One example of a BST and a query value that generates the specified sequence during a search is:
100
/ \
40 141
\ /
70 101
For this tree, if you perform a search for the value X in the order specified (100, 40, 70, 101, 141), the search will visit the nodes in the given sequence. It's important to note that there can be other valid BSTs producing the same search sequence.
The complete question is:
Is there a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order?
100, 40, 70, 101, 141