BST-Search

If the new node to be inserted is 270, it will be inserted as the ___A___ child of node ___B___

___A___=
[ Select ]
right
left
___B___ =
[ Select ]
25
260
75
250
150
350

Question

BST-Search

If the new node to be inserted is 270, it will be inserted as the ___A___ child of node ___B___

___A___= 
[ Select ]
right
left
___B___ = 
[ Select ]
25
260
75
250
150
350

BlackTom AI · Accepted Answer

Because 270 > 260, it will become the right child of node 260. 1) Relevant concepts - A binary search tree (BST) stores left subtree values < node value and right subtree values > node value. - Insertion follows comparisons from the root: at each node, go left if the new key is smaller, right if larger, and insert when a null child position is reached. 2) Step-by-step reasoning - Start at the root: compare 270 with 200. - 270 > 200, so follow the right branch. - At the next node (300): compare 270 with 300. - 270 < 300, so follow the left branch. - At the next node (260): compare 270 with 260. - 270 > 260, so follow the right branch of 260. - If the right child of 260 is empty (as shown), insert 270 there. 3) Intermediate comparison steps (explicit) - 270 vs 200: 270 > 200 → move right to node 300. - 270 vs 300: 270 < 300 → move left to node 260. - 270 vs 260: 270 > 260 → move right; insert at this right child position. 4) Why the correct answer is correct - The traversal logic above shows we arrive at node 260 with the decision to go right, and the right slot is the insertion point. This exactly matches BST insertion rules (maintaining left < node < right). 5) Why the other choices are incorrect (brief) - 25, 75, 150, 250 are all less than 270 or located elsewhere in the left subtrees; traversal does not place 270 under those nodes. - 350 and 300 are larger nodes encountered earlier; 270 is less than 300 so it cannot be inserted as a child of 300 to the right. - Only 260 is the node reached where the correct direction is right and the slot is available. 6) Conclusion - Therefore, 270 will be inserted as the right child of node 260. This confirms the provided answer: A = right, B = 260.

BST-Search If the new node to be inserted is 270, it will be inserted as the _A_ child of node _B_ _A_= [ Select ] right left _B_ = [ Select ] 25 260 75 250 150 350多重下拉选择题

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BST-Search If the new node to be inserted is 270, it will be inserted as the ___A___ child of node ___B___ ___A___= [ Select ] right left ___B___ = [ Select ] 25 260 75 250 150 350多重下拉选择题