In a Binary Search Tree (BST), each node has a unique role. The root node is the topmost node, inner nodes are the ones that have at least one child, and leaf nodes are the ones that do not have any children. This SQL script is designed to classify each node in a BST as either 'Root', 'Inner', or 'Leaf'.
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The script uses a SELECT statement to retrieve the node number (N) from the BST table. It then uses a CASE statement to classify each node. If the parent (P) of a node is NULL, it is classified as 'Root'. If a node is a parent to another node, it is classified as 'Inner'. All other nodes are classified as 'Leaf'. The results are then ordered by the node number (N).
SELECT BT.N,
CASE
WHEN BT.P IS NULL THEN 'Root'
WHEN EXISTS (SELECT B.P FROM BST B WHERE B.P = BT.N) THEN 'Inner'
ELSE 'Leaf'
END
FROM BST AS BT
ORDER BY BT.N
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