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In a weight-balanced tree, the _____ of a node is defined as the number of nodes in its left subtree divided by the number of nodes in its right subtree.

Question

In a weight-balanced tree, the _____ of a node is defined as the number of nodes in its left subtree divided by the number of nodes in its right subtree.

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Solution

The text seems to be incomplete as it doesn't provide a term to fill in the blank. However, in the context of weight-balanced trees, the term that could fit in the blank could be "balance factor" or "weight balance". The balance factor of a node in a binary tree is typically defined as the height of the left subtree minus the height of the right subtree. In this case, it's defined as the number of nodes in the left subtree divided by the number of nodes in the right subtree.

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Similar Questions

In a weight-balanced tree, the _____ of a node is defined as the number of nodes in its left subtree divided by the number of nodes in its right subtree.a)rotation factorb)constant factorc)weight balance factord)depth ratio

The weight balance criterion in a weight-balanced tree ensures a proportional relationship between the weight of a subtree and the _____ of the subtree.a)widthb)valuec)heightd)depth

How does a weight balanced tree differ from a height balanced tree in terms of balancing criterion?a)It focuses on the total number of nodes in the tree.b)It considers the weight of the edges in the tree.c)It minimizes the absolute difference in height between subtrees.d)It maximizes the height of the tree.

In ________balance factor of a node is the difference between the left subtree and the right subtree.

In a weight-balanced tree, a new node with a large weight is inserted as the right child of a node with a small weight.How might the tree adapt to maintain balance, and what rotation operation is likely to be involved?a)No action is needed.b)The left subtree's weight increases; left rotation is performed.c)The right subtree's weight increases; right rotation is performed.d)The left subtree's weight decreases; double rotation is performed.

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