Question: (a) [3 points] Prove that in a red-black tree the longest simple path from a node x to a descendant leaf is at most twice

(a) [3 points] Prove that in a red-black tree the longest

(a) [3 points] Prove that in a red-black tree the longest simple path from a node x to a descendant leaf is at most twice as long as the shortest simple path from x to a descendant leaf. (b) [2 points] Prove that a red-black tree with n nodes has N(n) black nodes

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