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This is LC 1644, the nastier sibling of the standard LCA problem.
Use a post-order DFS that returns a status for each subtree: whether p and q were found and the LCA if both are found. At each node, combine results from left and right subtrees; if both nodes are found in different subtrees or one is the current node, the current node is the LCA. After traversal, return the LCA only if both nodes were found; otherwise return null.
Pro tip: Explicitly discuss how your solution handles edge cases like p or q being the root, one node being an ancestor of the other, and duplicate values (if allowed). This shows thoroughness and prevents hidden bugs.
Ask if node values are unique and if p and q can be the same node. Confirm the definition of LCA and that both nodes must exist.
Define a helper that returns whether p and q are found in the subtree and the LCA if both are found. Combine results from left and right children.
If the current node is p or q, it could be the LCA if the other is in its subtree. If left and right subtrees each contain one of p and q, the current node is the LCA.
After traversal, check if both nodes were found. If not, return null; otherwise return the identified LCA.
State time and space complexity (O(n) time, O(h) space). Walk through examples including missing nodes and ancestor cases.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.