My first read was 'oh this is just count the C characters' and I nearly said that out loud.
First, clarify the movement rules and constraints, as the problem is underspecified. Then, model the board as a graph where tokens can move to collect coins, and propose an algorithm such as BFS/DFS or dynamic programming to maximize coin collection, ensuring each coin is collected once.
Pro tip: Demonstrate strong problem-solving by explicitly stating assumptions and asking clarifying questions before diving into a solution. This shows you can handle ambiguity and collaborate effectively, which is highly valued at Google.
Ask questions to understand token movement rules, number of tokens, and whether tokens can share paths or collect multiple coins. Confirm if the goal is to maximize total coins collected or if there are other objectives.
Represent the board as a grid graph with cells as nodes and possible moves as edges. Identify tokens and coins as special nodes, and consider if tokens can move independently or if there are interactions.
Based on constraints, select an appropriate algorithm. For example, if tokens move independently and coins are collected by visiting cells, use BFS/DFS to find reachable coins. If tokens can cooperate, consider maximum bipartite matching or DP.
Discuss time and space complexity, and how to handle large boards. Address edge cases like no tokens, no coins, or blocked paths.
Walk through a small example to verify the approach. Mention potential pitfalls and how to debug or optimize the solution.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.