about 1 month ago
Bob wins (second player) if and only if \( n \equiv 0 \) or \( 2 \pmod{5} \); up to 2024, this happens 809 times.
combinatorial game theory
winning losing positions
modular pattern game
token removal strategy
Bob wins exactly when \( n \equiv 0 \) or \( 2 \pmod{5} \); up to 2024 there are \(\boxed{809}\) such values.
Cost
$0
Input
0tokens
Output
0tokens
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