# Questions tagged [avl-trees]

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### Find the median element of two AVL trees in $O(\log n)$

I'm attempting the problem of finding the median element in two AVL BST's in $O(\log n)$ time. In this problem, we are given two AVLs, with a combined size of $n$ (the distribution across the two ...
108 views

### Efficiently finding the min-cost path of an AVL tree

It seems that in a full AVL tree, the left edge is always the minimum-cost path. For example, take the following full AVL tree: The min-cost path would be 8-6-5. ...
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### How do I know which node to do rotation on?

I'm wondering which node do I perform a rotation for on an AVL tree? I think in a single rotation it is always the grandparent of the node causing the imbalance (which could either be the root node ...
99 views

### Dynamic data structure that checks all prefix sums of a subsequence are >= 0 and sum is = 0

Lets consider sequences whose elements are $-1,0,1$. Subsequence $A[i...j]$ is $good$ if sum of its elements $=0$. Example: for sequence $1,1,0,-1,-1,1$ subsequence $1,0,-1,-1,1$ is $good$. ...
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### How many maximum height AVL trees given height?

I am having some trouble finding a recursive formula for finding the number of maximum height AVL trees of height h. Height 0 has 1, height 1 has 2, height 2 has 4, height 3 has 8, etc. is that ...
280 views

### How do I know which direction I should rotate a node in an AVL Tree?

I'm studying AVL Trees in my programming class and we got this exercise dealing with right, left, left-right and right-left rotations as a way to check if we understand the theoretical concept of AVL ...