GATE | GATE-CS-2006 | Question 13

A scheme for storing binary trees in an array X is as follows. Indexing of X starts at 1 instead of 0. the root is stored at X[1]. For a node stored at X[i], the left child, if any, is stored in X[2i] and the right child, if any, in X[2i+1]. To be able to store any binary tree on n vertices the minimum size of X should be.
(A) log2n
(B) n
(C) 2n + 1
(D) 2^n — 1

Answer: (D)

Explanation: See Question 2 of

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