During an insertion operation in a weight-balanced tree, if the weight balance factor of a node violates the criterion, what type of rotation might be performed?a)Single rotationb)Quadruple rotationc)Double rotationd)Triple rotation
Question
During an insertion operation in a weight-balanced tree, if the weight balance factor of a node violates the criterion, what type of rotation might be performed?a)Single rotationb)Quadruple rotationc)Double rotationd)Triple rotation
Solution 1
During an insertion operation in a weight-balanced tree, if the weight balance factor of a node violates the criterion, the types of rotation that might be performed are:
a) Single rotation c) Double rotation
The other options, quadruple and triple rotations, are not standard operations performed on weight-balanced trees. The single rotation is used when the unbalance is in the outer part of the subtree, while the double rotation is used when the unbalance is in the inner part of the subtree.
Solution 2
In a weight-balanced tree, if the weight balance factor of a node violates the criterion during an insertion operation, a single rotation or a double rotation might be performed to restore the balance. Therefore, the options a) Single rotation and c) Double rotation are correct. Quadruple and triple rotations are not standard operations in the context of balancing a binary search tree.
Similar Questions
If, during a deletion operation in a weight-balanced tree, the weight balance factor of a node violates the criterion, a _____ rotation might be performed to restore balance.a)singleb)quadruplec)doubled)triple
Consider the following scenario: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)The left subtree's weight increases; left rotation is performed.b)No action is needed.c)The left subtree's weight decreases; double rotation is performed.d)The right subtree's weight increases; right rotation is performed.
Which operation is not a valid balancing operation in a height-balanced tree?a)Left rotationb)Swap operationc)Left-right rotation (LR Rotation)d)Right rotation
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)depth ratiod)weight balance factor
Which of the following can be the valid balance factor of any node in an AVL tree?
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