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Data Structures | Binary Trees | Question 12

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. (GATE CS 2006)

(A)

log2n

(B)

n

(C)

2n + 1

(D)

2^n — 1

Answer

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