If there are ten prisoners then there are ten more combination where all but one prisoner must sip from the wine. There is only one binary combination where all prisoners must sip from the wine. As long as each prisoner is administered about a milliliter from each bottle, they will only consume the equivalent of about one bottle of wine each.Įach prisoner will have at least a fifty percent chance of living. Small sips also avoid death by alcohol poisoning. Small sips not only leave more wine for guests. Each sip should take no longer than 30 seconds and should be a very small amount. With ten people there are 1024 unique combination so you could test up to 1024 bottles of wine.Įach of the ten prisoners will take a small sip from about 500 bottles. In the above example, if all prisoners die, bottle 8 is bad. Here is how you would find one poisoned bottle out of eight total bottles of wine.īottle 1ěottle 2ěottle 3ěottle 4ěottle 5ěottle 6ěottle 7ěottle 8 Prisoners must take a sip from each bottle where their binary flag is set. Assign each prisoner to one of the binary flags. Bonus points if you worked out a way to ensure than no more than 8 prisoners die.
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