Looks trivial until you second-guess yourself.
Clarify the problem constraints (e.g., input format, move set) and then propose a simple simulation using two counters for vertical and horizontal displacement. Explain that the robot returns to start if and only if both counters are zero after processing all moves, and analyze the time and space complexity.
Pro tip: Mention that you can early-exit if the number of moves is odd, since each move changes exactly one coordinate by ±1, making a return to origin impossible. This shows attention to edge cases and optimization.
Ask about input format (string or array), move set (only U, D, L, R), and whether the starting position is always (0,0). Confirm that moves are unit steps.
Use two integer variables (x, y) to track the robot's position, initialized to (0,0). Alternatively, use a hash map to count moves, but counters are simpler.
Iterate through each move and update x or y accordingly: U increases y, D decreases y, R increases x, L decreases x.
After processing all moves, check if x == 0 and y == 0. If so, return true; otherwise, return false.
State that time complexity is O(n) and space is O(1). Mention edge cases: empty string, odd number of moves, and invalid characters.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.