A Variant Nim Analysed

The Prompt

Design or select a variant of Nim — Wythoff's game, Fibonacci Nim, Moore's Nim, or a variant of your own devising — and derive its winning strategy, or prove that no simple closed-form strategy exists. Compare the result to Bouton's nim-sum.

Completion Criteria

The variant's rules, the derived strategy (or a proof of its absence), and a one-paragraph comparison to the classical XOR analysis.

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