I coded a postorder traversal pretty fast and felt good about it.
Use a post-order DFS to recursively process children before the current node, so that deletions propagate upward. At each node, after processing its subtrees, check if it has become a leaf with the target value and return null if so, otherwise return the node. This naturally handles cascading removals in a single pass.
Pro tip: Emphasize that the solution is O(n) time and O(h) space, and discuss how the post-order traversal ensures that a node is only evaluated after its children are finalized, which is key to handling cascading deletions correctly.
Confirm that the tree may be empty, that the target can be any integer, and that the root itself might be removed. Discuss whether the tree is binary (not BST) and if node values can repeat.
Select a post-order DFS because it processes children before the parent, allowing you to determine if a node becomes a leaf after its children are removed.
Write a function that takes a node and returns the node after processing. Recursively process left and right children, then check if the current node is a leaf with the target value; if so, return null, else return the node.
Call the recursive function on the root and return its result, which may be null if the entire tree is removed.
State that time complexity is O(n) and space is O(h) due to recursion stack. Walk through a small example to verify cascading deletions.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.