I went straight for the hash set on obstacles, which was the right call, O(1) lookup per move.
Clarify the problem constraints and edge cases, then propose an efficient simulation using a hash set for obstacles and tracking the robot's position. Optimize by precomputing obstacle lookups and updating the maximum squared distance only when the position changes.
Pro tip: Mention that you can avoid checking obstacles for every move by storing them in a hash set, and that you can early-exit if the maximum possible distance is reached, though it's not necessary for the given constraints.
Confirm the grid is infinite, obstacles are given as coordinates, and the robot stays put if a move is blocked. Ask about input format and whether obstacles can be at the origin.
Use a hash set to store obstacle coordinates for O(1) lookup. Maintain the robot's current position as (x, y) and the maximum squared distance.
For each command, compute the next position. If it's not blocked, update the position; otherwise, stay. After each move (or attempted move), update the maximum squared distance if the current distance is larger.
Time complexity is O(N + M) where N is commands and M is obstacles. Space is O(M). Discuss edge cases: no obstacles, all moves blocked, obstacles at origin, large coordinates.
Walk through a small example to verify correctness, such as commands 'UR' with an obstacle at (1,0).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.