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0 sats \ 6 replies \ @Fiat_Revelation 9 Dec \ on: [Logic Puzzle] Chinese Dumplings science
If N is greater than 4 then the Chinese businessman will always take 3, leaving one. If N is 3 then he should take 2, leaving one. And if there is only one left then he should take it, because either way he will be seen as rude, but his goal is still to maximize his portion. It seems too simple so perhaps I missed something.
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0 sats \ 5 replies \ @SimpleStacker OP 9 Dec
What about for N>4?
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0 sats \ 4 replies \ @Fiat_Revelation 9 Dec
Always 3, maximum allowed
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12 sats \ 3 replies \ @SimpleStacker OP 9 Dec
Not quite right. There are some values of N>4 for which you won't want to take 3.
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0 sats \ 2 replies \ @Fiat_Revelation 10 Dec
Can't get stuck taking 3 on 11 or other prime numbers thereafter.
Edit: I'm at work so I can't fully flesh this out completely, but it would seem that 11, 13 and 17 screw you by taking three
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0 sats \ 1 reply \ @Fiat_Revelation 10 Dec
Actually maybe just 11 and 13. I don't know why but those numbers seem to screw you either way.
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0 sats \ 0 replies \ @SimpleStacker OP 10 Dec
You're right about 11. But with 13 you can avoid ending up with the last dumpling.
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