数学·结合·brainteaser 模式

识别信号

• A correct approach identifies the modulo 4 pattern for optimal play.
• The candidate should recognize the game theory basis for the solution.
• Expect candidates to identify the divisor pattern instead of iterating through rounds.

解题流程

1. 1. 明确窗口/状态定义
2. 2. 更新状态并维护约束
3. 3. 用边界样例验证

常见失分点

• Overcomplicating the solution by simulating all possible moves instead of using the modulo 4 strategy.
• Simulating each round leads to timeouts for large n values.
• Overcomplicating the calculation of moves when the solution is simple and requires minimal operations.