Join operation on red-black trees: amortized analysis of RB-join.
Analyze the join operation on red-black trees: amortized analysis of rb-join..
Examples
Input:"test_input_1"
Output:"output_1"
Input:"test_input_2"
Output:"output_2"
Hints
Recall the properties of red-black trees and how they differ from standard binary search trees.
Consider the amortized analysis techniques used for other tree operations (e.g., insert/delete) and adapt them to the join operation.
Break down the join operation into phases (e.g., restructuring, recoloring) and analyze the cost of each phase separately, accounting for potential imbalances.
Join operation on red-black trees: amortized analysis of RB-join.
Analyze the join operation on red-black trees: amortized analysis of rb-join..