AlgoScope

BST Delete

AlgorithmintermediateBST Operations

A leaf just goes, one child is spliced past, two children need a successor.

Decision · step 2 of 8Binary Search Tree: Delete a node with two children (30)
203035404550✓607080current50 < 30

30 is smaller than 50: go left.

Open in the player →or start at step 2

What you will see

The three cases play out differently; for two children the successor travels up into the hole.

How binary search tree works →

Cost

BestO(1)
AverageO(log n)
WorstO(n)
SpaceO(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.

Leads to

Topics that need this one first.

Taught by the same lesson

Binary Search Tree covers these too, in the same run.