What is the time complexity of deleting a node in a Red-Black tree?

What is the time complexity of deleting a node in a Red-Black tree?

Step 1: Understand what a Red-Black tree is. It is a type of self-balancing binary search tree.
Step 2: Know that in a binary search tree, deleting a node can take time proportional to the height of the tree.
Step 3: Realize that the height of a Red-Black tree is always O(log n), where n is the number of nodes in the tree.
Step 4: When you delete a node, you may need to perform some balancing operations to maintain the properties of the Red-Black tree.
Step 5: These balancing operations also take time proportional to the height of the tree, which is O(log n).
Step 6: Combine the time for deleting the node and the time for balancing to conclude that the total time complexity is O(log n).

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