Misère Nim

Misère Nim is a variant of Nim where the player who takes the last stone loses. Determine if the first player has a winning strategy given optimal play from both sides.

Examples
Input: [1,1,1]
Output: false
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Misère Nim

Misère Nim is a variant of Nim where the player who takes the last stone **loses**. Determine if the first player has a winning strategy given optimal play from both sides.