Suppose you implement the disjoint-sets data structure using union-by-rankbut not path compression. give a sequence of m union and find operations on n elements that take ω(mlogn) time.
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Suppose the population of the world is 6 billion, and that there is an average of 1000 communicating devices per person. how many bits are required to assign a unique host address to each communicating device? suppose that each device attaches to a single network and that each network on average has 10000 devices. how many bits are required to provide unique network ids to each network?
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