Which of the following is a valid sequence of colors for a Red-Black tree?
Practice Questions
Q1
Which of the following is a valid sequence of colors for a Red-Black tree?
Red, Red, Black
Black, Red, Black
Red, Black, Red
Black, Black, Red
Questions & Step-by-Step Solutions
Which of the following is a valid sequence of colors for a Red-Black tree?
Step 1: Understand what a Red-Black tree is. It is a type of binary search tree with specific properties regarding the colors of its nodes.
Step 2: Know the properties of a Red-Black tree. The key properties are: 1) Each node is either red or black. 2) The root is always black. 3) Red nodes cannot have red children (no two reds in a row). 4) Every path from a node to its descendant leaves must have the same number of black nodes.
Step 3: Analyze the given sequence of colors: Black, Red, Black.
Step 4: Check if the sequence follows the Red-Black tree properties. The first node is black, the second node is red, and the third node is black.
Step 5: Verify that there are no two consecutive red nodes in the sequence. Since the red node is between two black nodes, this is valid.
Step 6: Conclude that the sequence Black, Red, Black adheres to the Red-Black tree properties and is therefore valid.
