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We can represent a path from the root to a node of a binary tree by means of a binary string, where 0 means go

We can represent a path from the root to a node of a binary tree by means of a binary string, where 0 means go to the left child and 1 means go to the right child. Design a logarithmic-time algorithm for finding the last node of a heap holding n elements based on the this representation.

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