Question: 5. Given an arbitrary red-black tree. let b(r) be the number of black nodes on a path from noder to NIL. (6) Prove that the

5. Given an arbitrary red-black tree. let b(r) be the number

5. Given an arbitrary red-black tree. let b(r) be the number of black nodes on a path from noder to NIL. (6) Prove that the height of this (a) Prove that the number of non-NIL descendants of x is at least 26() - 1 (b) Prove that the height of the tree is less than 2 log(n+1)

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