Knew this one cold from practice but still fumbled the explanation a bit.
Start by clarifying the problem and defining the binary tree node structure. Then present both recursive and iterative solutions, analyzing time and space complexity. Emphasize correctness, edge cases, and potential optimizations.
Pro tip: At Apple, interviewers value clean, efficient code and strong communication. Walk through your solution with a small example, and discuss trade-offs between recursion and iteration, especially regarding stack depth and memory usage.
Ask if the tree is binary, if nodes have parent pointers, and if the inversion should be done in-place. Confirm the definition of inversion (swap left and right children recursively).
Decide between recursive and iterative (BFS/DFS) solutions. Recursive is simpler but may cause stack overflow for deep trees; iterative avoids recursion but uses extra space.
Write clean code for your chosen approach. For recursion, swap children and recurse on left and right. For iteration, use a stack or queue to process nodes.
Walk through a small tree (e.g., 1 with left 2 and right 3) to verify correctness. Also consider edge cases: empty tree, single node, skewed tree.
State time complexity O(n) and space complexity O(h) for recursion (h = height) or O(n) for iterative with queue/stack. Discuss trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.