← Bytedance Interview Insights
Got the BFS version out pretty fast, which felt good, then they asked me to redo it without a queue.
Use the already-established next pointers to traverse each level like a linked list, connecting children of adjacent nodes without any queue. Emphasize that the perfect binary tree property guarantees every node has both children, simplifying the connection logic. Explain the O(n) time and O(1) space complexity, and contrast with the BFS approach that uses O(n) space.
Pro tip: Mention that the perfect binary tree property is crucial for the O(1) space solution; if the tree were not perfect, you'd need additional checks or a different approach. Also, clarify that the next pointers themselves are used as the 'queue' for the next level, which is the key insight.
Restate that the tree is perfect (every parent has two children, all leaves at same level) and that we must use O(1) extra space. Confirm that modifying the tree in-place is allowed.
Describe how a level-order traversal with a queue would work, but note that it uses O(n) space, which violates the constant space requirement.
Explain that we can traverse each level using the next pointers already set for that level, and use that to set next pointers for the next level. Start with the root's level (only root), then move down.
For each node in the current level, set its left child's next to its right child, and if the node has a next, set its right child's next to the next node's left child. Move to the next node in the current level via the next pointer.
State that time complexity is O(n) since each node is visited once, and space is O(1) because we only use a few pointers. Mention edge cases: empty tree, single node, and that the perfect property ensures no missing children.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.