[HackerRank] Binary Tree Nodes

You are given a table, BST, containing two columns: N and P, where N represents the value of a node in Binary Tree, and P is the parent of N.

Write a query to find the node type of Binary Tree ordered by the value of the node. Output one of the following for each node:

Root: If node is root node.
Leaf: If node is leaf node.
Inner: If node is neither root nor leaf node.
Sample Input

Sample Output

1 Leaf
2 Inner
3 Leaf
5 Root
6 Leaf
8 Inner
9 Leaf

Explanation

The Binary Tree below illustrates the sample:

• case when
• if

select N, case when P is null then 'Root'
       when N in (select P from BST) then 'Inner'
       else 'Leaf'
       end as tree from BST order by N