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Red Black Tree

A Red Black Tree is a type of self-balancing binary search tree. It is complex, but has good worst-case running time for its operations and is efficient in practice.

In a red-black tree every node is colored which is either red or black. They guarantee O(lg n) time per access by adjusting tree structure. This has the following property:

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Red Black Tree Property

  1. A node is either red or black.
  2. The root is black.
  3. All leaves are black.
  4. Both children of every red node are black.
  5. Every simple path from a given node to any of its descendant leaves contains the same number of black nodes.

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