What is the primary criterion for balancing in a Height Balanced Tree?a)The weight of the subtreesb)The weight on the edges of the treec)The total number of nodes in the treed)The difference in height between left and right subtrees
Question
What is the primary criterion for balancing in a Height Balanced Tree?a)The weight of the subtreesb)The weight on the edges of the treec)The total number of nodes in the treed)The difference in height between left and right subtrees
Solution
The primary criterion for balancing in a Height Balanced Tree is d) The difference in height between left and right subtrees.
Here's a step-by-step explanation:
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A Height Balanced Tree, also known as an AVL tree, is a type of binary search tree where for every node, the difference between the heights of the left subtree and the right subtree is not more than one.
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This difference, also known as the balance factor, is calculated as height(left subtree) - height(right subtree).
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If the balance factor is more than 1 or less than -1, the tree is unbalanced and needs to be balanced again. This is done through rotations.
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Therefore, the primary criterion for balancing in a Height Balanced Tree is the difference in height between left and right subtrees.
Similar Questions
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)depthb)widthc)valued)height
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