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Suppose that a full m-ary tree T has 109 vertices and height 2. (a) What are...

Suppose that a full m-ary tree T has 109 vertices and height 2.
(a) What are the possible values of m?
(b) Assume also that T has at least 84 leaves. Now what are the possible values of m?
(c) What value of m maximizes the number of internal vertices in T?
(d) For this value of m identify the number of leaves and number of internal vertices at
each level of T.

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