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Yes, Flip Game II is a classic impartial game theory problem. The goal is to determine whether the current player has a forced winning move assuming both players play optimally.
Yes, problems similar to Flip Game II appear in interviews at major tech companies. They test understanding of recursion, state exploration, memoization, and reasoning about winning and losing game states.
The optimal approach uses backtracking combined with memoization. Each board configuration is treated as a game state, and we recursively test moves by flipping "++" to "--". If any move forces the opponent into a losing state, the current player has a winning strategy.
A hash map (or dictionary) is commonly used for memoization to store previously evaluated string states. This avoids recomputing results for the same configurations and significantly speeds up the recursive exploration.