Let G n be defined recursively as G 1 0 and G 0 1 and for n 1, Gn G n 1 G n 2 1 A binary tree T is height balanced if, for any node in the tree , the height of the left subtree and the height of the right subtree can differ by at most 1 When a tree is height balanced, we can derive a lower bound on the number of nodes Prove this claim Using induction if binary tree T is height balanced, nodes(T) G h(T) (In your proof, you are free to use the following fact, if T is height balanced, then any subtree of T is also height balanced )

Question

Let G n be defined recursively as G  1  0 and G 0  1 and for n 1, Gn G n 1  G n 2  1  A binary tree T is height balanced if, for any node in the tree , the height of the left subtree and the height of the right subtree can differ by at most 1  When a tree is height balanced, we can derive a lower bound on the number of nodes  Prove this claim Using induction  if binary tree T is height balanced, nodes(T) G h(T)   (In your proof, you are free to use the following fact, if T is height balanced, then any subtree of T is also height balanced )

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Question

Let G n be defined recursively as G ?1 =0 and G 0 =1 and for n?1, Gn=G n?1 +G n?2 +1. A binary tree

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