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deepseek
Bob wins if \(n \equiv 0 \text{ or } 2 \pmod{5}\); count for \(n \leq 2024\) is \(\boxed{809}\).
about 1 month ago
Bob wins if \(n \equiv 0\) or \(2 \pmod{5}\); among \(1 \leq n \leq 2024\), there are 809 such \(n\).
combinatorial game theory
winning and losing positions
modulo 5 pattern
token removal game strategy

Bob wins if \(n \equiv 0 \text{ or } 2 \pmod{5}\); count for \(n \leq 2024\) is \(\boxed{809}\).

deepseek/deepseek-reasoner

Cost
$0
Input
0tokens
Output
0tokens
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