Which XXX would replace the missing statement in the algorithm for inserting a new node in an empty AVL tree?

AVLTreeInsert(tree, node) {
XXX {
tree⇢root = node
node⇢parent = null
return
}
...
}

Question

Which XXX would replace the missing statement in the algorithm for inserting a new node in an empty AVL tree?

AVLTreeInsert(tree, node) {
   XXX {
      tree⇢root = node
      node⇢parent = null
      return
   }
   ...
}

BlackTom AI · Accepted Answer

The question asks what statement should fill the XXX in the AVLTreeInsert function when inserting into an empty AVL tree.
In an empty tree, the root pointer indicates that there is no node yet. Therefore, the first test must detect that there is no root and then perform the initial insertion by assigning the root to the new node, and ensuring the new node has no parent.
A plausible reasoning path for this scenario is: if the root is null (or equivalent empty condition), set the root of the tree to be the new node, set the new node's parent to null (since it will be the only node and has no parent yet), and then return to finish the insertion.
If a different condition were used (for example, testing a non-null root or testing for an empty tree with a specific flag), that would fail to correctly handle the initial insertion into an empty structure, leading to incorrect tree setup or dereferencing issues.
Additionally, any code that proceeds without establishing the root when the tree is empty would result in subsequent operations operating on a non-existent root, causing runtime errors or undefined behavior.
The explicit actions tied to the empty-tree case—assigning root to the new node and nullifying the parent pointer of that node—are the essential, minimal steps to correctly initialize the AVL tree structure before continuing with the rest of the insertion logic.
In summary, the critical concept here is recognizing and handling the empty-tree base case by checking for an empty root and performing the initial root assignment and parent setup accordingly.

Which XXX would replace the missing statement in the algorithm for inserting a new node in an empty AVL tree? AVLTreeInsert(tree, node) { XXX { tree⇢root = node node⇢parent = null return } ... } 单项选择题

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