It's on page 103 in the FM 21-76 US ARMY SURVIVAL MANUAL: http://www.preppers.info/uploads/FM21-76_SurvivalManual.pdf
It's on page 103 in the FM 21-76 US ARMY SURVIVAL MANUAL: http://www.preppers.info/uploads/FM21-76_SurvivalManual.pdf
- poison takes 1 hour to kill you, party is in 1 hour.
- you have 4 prisoners you don't mind sacrificing to find out which bottle is poisonous but obviously you'll need to do all your sampling now because otherwise you won't know which bottle not to use in time for the party.
EDIT:16 not 17 bottles of wine.
This is the kind of problems that AI machines would try to solve, wrongly. Humans still score better understanding that some theoretical problems must not be solved.
I get that it's a game, but can't let this slip into the memesphere unchecked.
People are a superset of prisoners. Some of our largest problems as a society are a result of our not acting as such.
I quite like the mathematics of the puzzle, I also like justice and am aware that justice is a product of language in many instances, as many people interact with the world through language without giving much thought to it.
In fact, my statement was meant to ridicule the assumption that prisoners are worthless to point out they are people.
Except 17. Fencepost error on my part maybe?
Use binary search to find the poisoned bottle among bottle 1 to 16. If you fail to find a poisoned bottle, it is the 17th
Common presentation uses 1000, gives it away to use a power of two.
A really fun extension to it is to suppose that you use the same criteria (a thousand bottles, consumption of the smallest amount will kill, but after a delay that means you must perform a one-pass test) but _two_ bottles are poisoned. What is the minimum number of prisoners you need for your test to find the two poisoned bottles precisely and what is the procedure?
(This is _substantially_ harder.)
Ah, preppers.