Subtraction Nim with moves {2,4n,4n+2} (n≥3) and its one-time-pass variant both satisfy the reverse-mex property for Grundy numbers.
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A Subtraction Nim with a Pass
Subtraction Nim with moves {2,4n,4n+2} (n≥3) and its one-time-pass variant both satisfy the reverse-mex property for Grundy numbers.