Transformation Methods of 2-3-4 trees and red/black trees

2-3-4 trees and red/black trees may look completely different. However, in a sense, the two are exactly the same.

 

There is a data item and two subnodes are called 2-nodes.

There are two data items and three sub-nodes called 3-nodes.

Three data items and four subnodes are called 4-nodes.

 

Rules for converting from 2 to 4 trees to red/black trees

1. Each 2-node in the 2-4-4 tree is converted to a black node in the red/black tree.

2. 3-the node is converted into a subnode and a parent node. The subnode has two subnodes. The parent node has another subnode.

The child node becomes red, and the parent node becomes black.

3. 4-the node is converted into a parent node and two child nodes. The first subnode has its own subnode. The second subnode has its own two subnodes. The child node becomes red, and the parent node becomes black.