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(0, 0, 0) -> (0, 0, 0) (1, 0, 0) -> (0, 0, 1) (0, 1, 0) -> (-1, 0, 0)
(0, 0, 0) -> (1, 0, 0) (1, 0, 0) -> (2, 0, 0) (0, 1, 0) -> (1, 1, 0)