Find the minimum gap between two numbers in an AVL tree

Posted by user1656647 on Stack Overflow See other posts from Stack Overflow or by user1656647
Published on 2012-09-08T12:10:43Z Indexed on 2012/09/15 15:38 UTC
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data-structures

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tree

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avl-tree

I have a data structures homework, that in addition to the regular AVL tree functions, I have to add a function that returns the minimum gap between any two numbers in the AVL tree (the nodes in the AVL actually represent numbers.)

Lets say we have the numbers (as nodes) 1 5 12 20 23 21 in the AVL tree, the function should return the minimum gap between any two numbers. In this situation it should return "1" which is |20-21| or |21-20|.

It should be done in O(1).

Tried to think alot about it, and I know there is a trick but just couldn't find it, I have spent hours on this.

There was another task which is to find the maximum gap, which is easy, it is the difference between the minimal and maximal number.

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