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If we start from an empty max binomial heap, and insert integers 1, 2, . . , n into the heap in a random ordering, what is the probability that integer n forms a singleton binomial tree by itself in the final heap? what is the probability that n is the root of the largest binomial tree in the final heap?

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If we start from an empty max binomial heap, and insert integers 1, 2, . . , n into the heap in a r...
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