The problem sounds like a basic greedy grouping thing but the definition of 'hand position' is intentionally vague.
Clarify the problem constraints and define what constitutes a 'move' (e.g., hand repositioning to a new starting position). Then, model the sequence as a series of segments where each move resets the hand position, and the goal is to minimize the number of moves by optimally grouping consecutive positions that can be played without moving. For the follow-up, track the start and end indices of each segment and output them as you go, ensuring the final segment is also output.
Pro tip: Demonstrate adaptability by discussing edge cases (e.g., empty sequence, single element) and asking clarifying questions about the keyboard layout and movement rules. This shows you think about ambiguity and real-world constraints, which is crucial at Google.
Ask questions to understand the keyboard layout, what constitutes a move, and whether the hand can play any position without moving if it's already there. Confirm the output format for the follow-up.
Explain that to minimize moves, you should play as many consecutive positions as possible without moving, and only move when the next position is not reachable from the current hand position. This leads to a greedy segmentation.
Iterate through the sequence, maintaining the start of the current segment. When a move is required (i.e., the next position cannot be played from the current hand position), increment the move count and record the segment. At the end, record the final segment.
Modify the algorithm to output each segment (as a subarray or indices) when a move occurs, and also output the final segment after the loop. Ensure the output format matches the requirement.
State that the solution is O(n) time and O(1) extra space (if only counting moves) or O(n) for storing segments. Discuss edge cases like empty input, single element, and all elements requiring moves.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.