Paint state transition diagrams as winners and losers.
Paint squares that can transition to the losing state to the winning state and squares that can only transition to the winning state to the losing state.
Pattern Discovery] from the painted pattern
https://gyazo.com/3389c6ac2c5426f784be4d9dfd140782
Maybe we can paint it with Grundy number since it's not much of a hassle? https://gyazo.com/bf6c35dd587f5fe2b4510163f946e9dd
Not always a partial problem XOR.
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