Question: Algorithms and Data Structures question Let T be a proper binary tree. Given a node v E T, the imbalance of v denoted imbalance(v), is

Algorithms and Data Structures question

Algorithms and Data Structures question Let T be a proper binary tree.

Given a node v E T, the imbalance of v denoted imbalance(v),

Let T be a proper binary tree. Given a node v E T, the imbalance of v denoted imbalance(v), is defined as the difference in absolute value, between the number of leaves of the left subtree of v and the number of leaves of the right subtree of v. (If v is a leaf, then imbalance(v) is defined to be 0.) Define imbalance(TT) J VET imbalance(v). (a) Provide an upper bound to the imbalance of a proper binary tree with n nodes, and exhibit a proper binary tree whose imbalance matches such an upper bound. (b) Draw a proper binary tree T for which imbalance (T) imbalance v and v is not the root of T

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