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1.5.15 Binomial trees. Show that the number of nodes at each level in the worst-case trees for weighted quick-union are binomial coefficients. Compute the average

1.5.15 Binomial trees. Show that the number of nodes at each level in the worst-case trees for weighted quick-union are binomial coefficients. Compute the average depth of a node in a worst-case tree with N = 2n nodes. Show the computation clearly and explain the worst case tree?

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