Question

6. Draw a diagram of the double RL-rotation in its general form. A partial solution is given. Fill in the missing parts inside the box.

Answer 1

6.

After applying RL rotation the diagram will be:

First we apply LL rotation at w, then apply RR rotation on resulting tree at r.

It's clear that the final tree is also a BST:

as all elements of T1 are smaller than r and all elements of T2 are larger than r.

as all elements of T3 are smaller than w and all elements of T3 are larger than w.

And all r is smaller than v and w is larger than v.