In a Red-Black tree, what happens when a red node is inserted as a child of anot
Practice Questions
Q1
In a Red-Black tree, what happens when a red node is inserted as a child of another red node?
The tree remains valid.
The tree is immediately balanced.
A recoloring and rotation may be needed.
The insertion is not allowed.
Questions & Step-by-Step Solutions
In a Red-Black tree, what happens when a red node is inserted as a child of another red node?
Step 1: Understand that a Red-Black tree has specific rules. One of these rules is that a red node cannot have a red parent.
Step 2: When you insert a new red node as a child of another red node, this rule is violated.
Step 3: To fix this violation, you need to perform a recoloring. This means changing the color of the parent node from red to black.
Step 4: If the parent node's sibling (the other child of the grandparent) is also red, you will recolor the parent and the sibling to black and the grandparent to red.
Step 5: If the sibling is black or null, you will need to perform a rotation. This means you will rotate the tree to maintain balance.
Step 6: After the rotation, ensure that the properties of the Red-Black tree are restored.
