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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)
     2n — 1
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A scheme for storing binary trees in an array X is as follows. Indexin...
The minimum size of X should be c) 2n - 1.

In a binary tree, each node can have at most two children (left and right). Therefore, the number of nodes in a binary tree with n vertices can be at most 2n.

In the given scheme, each node in the binary tree is stored at a specific index in the array X. If we have 2n nodes in the binary tree, we would need at least 2n indices in the array X to store each node.

However, indexing in X starts at 1 instead of 0. Therefore, we would need an additional index in the array X to account for this offset.

Hence, the minimum size of X should be 2n + 1 - 1, which simplifies to 2n - 1.
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A scheme for storing binary trees in an array X is as follows. Indexin...
 For a right skewed binary tree, number of nodes will be 2n – 1. For example, in below binary tree, node ‘A’ will be stored at index 1, ‘B’ at index 3, ‘C’ at index 7 and ‘D’ at index 15.
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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)log2nb)nc)2n + 1d)2n — 1Correct answer is option 'D'. Can you explain this answer?
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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)log2nb)nc)2n + 1d)2n — 1Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about 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)log2nb)nc)2n + 1d)2n — 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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)log2nb)nc)2n + 1d)2n — 1Correct answer is option 'D'. Can you explain this answer?.
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