Question: (20 points) (a) (10 points) Propose an efficient algorithm for the following problem. Given a binary search tree (BST) T and a value v, your

(20 points) (a) (10 points) Propose an efficient algorithm for the following problem. Given a binary search tree (BST) T and a value v, your algorithm should return the number of elements in T which are Sv. Justify its runtime. (b) (10 points) Prove the correctness of your algorithm. (Hint: you may add a field size that keeps track of the number of nodes in T.)

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