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Amortized Time Complexity of Union-Find

Medium · Algorithms & Data Structures · Quant Trader interview question · union-find, data-structures, algorithms, complexity-analysis

You are implementing a system to track connected components in a large network. You've chosen to use the Union-Find data structure with path compression and union by rank heuristics. Consider a scenario where you perform a large number of union and find operations on this network. What is the amortized time complexity for each individual union or find operation?