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Suppose we label the nodes of binomial tree Bk in binary by a postorder walk, as in Figure 19.4 . Consider a node x labeled l at depth i, and let j=k-i . Show that x has j 1's in its binary representation. How many binary k -strings are there that contain exactly j 1 's? Show that the degree of x is equal to the number of 1 's to the right of the rightmost 0 in the binary representation of l . | Numerade
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