Final answer:
Single and double rotation are concepts used in binary search trees to maintain their balance. Pseudo code is a way to represent algorithms using a combination of natural language and programming syntax. The time complexity of rotation operations in binary search trees is typically O(1).
Step-by-step explanation:
Single and double rotation are concepts used in binary search trees to maintain their balance. When a node is inserted or deleted from the tree, a rotation can be performed to restore the tree's balance.
In a single rotation, two nodes are involved: the parent node and the child node. The child node is promoted to become the parent's parent, while the parent becomes the left or right child of the promoted child, depending on the rotation direction.
In a double rotation, three nodes are involved: the parent node, the child node, and the grandchild node. The parent and grandchild nodes are promoted, and the child node becomes the left or right child of its new parent, again depending on the rotation direction.
Here is an example of pseudo code for a single rotation:
function singleRotation(node) {
The time complexity of single and double rotations in a binary search tree is typically O(1), as they involve a fixed number of operations, regardless of the size of the tree.