Question: Describe a modification to the binary search-tree data structure that would support the following two index-based operations for a sorted map in O(h) time, where

Describe a modification to the binary search-tree data structure that would support the following two index-based operations for a sorted map in O(h) time, where h is the height of the tree.

atIndex(i): Return the position p of the entry at index i of a sorted map.

indexOf(p): Return the index i of the entry at position p of a sorted map.

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