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This one took me a minute to even figure out what data structure to use.
Start by clarifying the API and constraints, then design the data structures to achieve O(1) per step. Use a deque for the snake body and a hash set for occupied cells, and precompute the food positions. Implement the step logic with careful collision detection and score updates.
Pro tip: Mention that you can use a circular buffer or a doubly linked list with a hash map for O(1) operations, and discuss trade-offs between memory and speed. Also, handle edge cases like self-collision and out-of-bounds gracefully.
Ask about grid size, food placement, scoring rules, and what constitutes a collision. Confirm the expected return values and any constraints on memory or time.
Choose a deque for the snake body to allow O(1) addition/removal at both ends, and a hash set for O(1) membership checks. Precompute food positions in a queue.
Compute the new head position, check for collisions with walls or the snake's body (excluding the tail if it will move), then update the snake and score accordingly.
If the new head is on a food item, increase the score and do not remove the tail; otherwise, remove the tail to maintain length. Update the food queue.
Write unit tests for edge cases like immediate collision, eating food, and long snakes. Verify O(1) time per step and discuss potential optimizations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Classic LCA but with the no-parent-pointer constraint and the missing-node wrinkle.
Start by clarifying the problem: confirm the tree is n-ary with only child pointers, and that we need to handle missing employees. For a single query, use a recursive post-order traversal that returns whether each employee is found and the LCA when both are found. For many queries, discuss preprocessing with Euler tour + RMQ or binary lifting to answer LCA in O(1) or O(log n) time, noting the trade-off of O(n log n) preprocessing.
Pro tip: Mention that in an org chart, the LCA is the lowest common manager, and if one employee is an ancestor of the other, the ancestor is the manager. Also, handle missing employees by returning null and clearly stating the assumption about whether both must exist.
Confirm the tree structure, whether employees are guaranteed to exist, and if the tree is static or dynamic. Discuss what to return if one or both employees are missing.
Explain a recursive DFS that returns a status (found A, found B, or LCA) from each subtree. At each node, combine results from children to determine if the current node is the LCA.
Describe how to preprocess the tree for efficient LCA queries, such as Euler tour + sparse table for O(1) queries, or binary lifting for O(log n) queries. Mention the preprocessing time and space.
Discuss when to use each approach: single-query is simpler and uses O(n) time and O(h) space; preprocessing is better for many queries but requires O(n log n) time and space.
Explain how to detect missing employees during traversal or preprocessing, and how to adjust the algorithm to return null or an appropriate error.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.