AVL Insert with Rebalancing

AlgorithmadvancedAVL Tree

Insert as a BST, walk back up updating heights, and rotate the first unbalanced node.

Decision · step 6 of 41AVL Tree: A longer mixed sequence

At 50: left height 1, right height 0, balance 1. Within one, so it stays.

Open in the player →or start at step 6

What you will see

Insertion path replays upward; balance factors update; the offending node rotates.

How avl tree works →

Cost

Best	`O(log n)`
Average	`O(log n)`
Worst	`O(log n)`
Space	`O(1)`

How you work with it here

play it through, step one change at a time, scrub to any step, run it on your own input, predict what happens next, try operations in any order.

Screen readers: Nodes announce value, left child and right child; each step announces the comparison and the direction taken or the structural change.

Reduced motion: Focus jumps node to node with a static ring; rotations become a crossfade between the two layouts.

Before this

BST Insert Left-Right and Right-Left Rotations

Leads to

Topics that need this one first.

AVL Delete with Rebalancing

Taught by the same lesson

AVL Tree covers these too, in the same run.

AVL Tree Balance Factor Left Rotation Left-Right and Right-Left Rotations Right Rotation AVL Delete with Rebalancing