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# It's Math-Puzzle Time

## Posts

• Awaiting Email Confirmation
How about an easier puzzle then?

An evil king has a wine cellar with 1,000 bottles. Somebody sneaks in a poisons one of them, but nobody knows which. The poison is so potent that even diluted massively, it'll still kill, but the symptoms can take anywhere between a day and a week to show up. What is the minimum number of foodtasters the king needs to use to be able to drink his wine 7 days from now?

There are all sorts of fun alternates too... like "assume he has X foodtasters, what's the best strategy to minimize the number of deaths?" or "One of his foodtasters is resistant to the poison, how many are needed minimum?" Etc etc. There's really no point to the duration stuff other than to discourage people saying "bring out 1,000 stopwatches and then stare at your prisoners to determine the exact time of death."

• Registered User
edit oh god I'm an idiot. Spoilered for wrongness and embarassment caused therefrom.
Spoiler:

Hic Rhodus, Hic Salta.
• Awaiting Email Confirmation
The least number of people with unlimited time is 1.

So, no. You get no cookie.

• Starting to get dizzy Registered User regular
I'm weak at combinatorics, but I'll give this a try.

Wine tasters:
Spoiler:

• Registered User regular
Aroduc wrote: »
The least number of people with unlimited time is 1.

So, no. You get no cookie.

Do we need a definition of "enjoy his wine" because he can enjoy at least 500 bottles with just one tester in one week.

Obviously with unlimited time, you just have the guy start tasting one bottle a week until he dies and then throw out that bottle.

My cousin made this game: Gem Pop. It's legitimately fun, particularly for people who enjoy Bejewled, Dr. Mario, Tetris, etc. kinds of games. Only two bucks! If you try it out, PM me with what you think of it.
• Starting to get dizzy Registered User regular
Aroduc wrote: »
The least number of people with unlimited time is 1.

So, no. You get no cookie.

Do we need a definition of "enjoy his wine" because he can enjoy at least 500 bottles with just one tester in one week.

Obviously with unlimited time, you just have the guy start tasting one bottle a week until he dies and then throw out that bottle.

The king's later flash of insight was unfortunately his last, as he realizes the tester had a random heart attack.

• Registered User regular
Smasher wrote: »
Aroduc wrote: »
The least number of people with unlimited time is 1.

So, no. You get no cookie.

Do we need a definition of "enjoy his wine" because he can enjoy at least 500 bottles with just one tester in one week.

Obviously with unlimited time, you just have the guy start tasting one bottle a week until he dies and then throw out that bottle.

The king's later flash of insight was unfortunately his last, as he realizes the tester had a random heart attack.

Or they get fed up with the waiting and just shoot him with a crossbow for lack of wine and his reign ends prematurely, yes. I mean it'd be nearly 20 years if they were exceptionally unlucky.

My cousin made this game: Gem Pop. It's legitimately fun, particularly for people who enjoy Bejewled, Dr. Mario, Tetris, etc. kinds of games. Only two bucks! If you try it out, PM me with what you think of it.
• Awaiting Email Confirmation
Aroduc wrote: »
The least number of people with unlimited time is 1.

So, no. You get no cookie.

Do we need a definition of "enjoy his wine" because he can enjoy at least 500 bottles with just one tester in one week.

Obviously with unlimited time, you just have the guy start tasting one bottle a week until he dies and then throw out that bottle.

Assume he has a big evil party to throw.

• Registered User
Aroduc wrote: »
Aroduc wrote: »
The least number of people with unlimited time is 1.

So, no. You get no cookie.

Do we need a definition of "enjoy his wine" because he can enjoy at least 500 bottles with just one tester in one week.

Obviously with unlimited time, you just have the guy start tasting one bottle a week until he dies and then throw out that bottle.

Assume he has a big evil party to throw.

An evil party? Wouldn't he want the wine poisoned?

• Registered User regular
Aroduc wrote: »
There are all sorts of fun alternates too... like "assume he has X foodtasters, what's the best strategy to minimize the number of deaths?" or "One of his foodtasters is resistant to the poison, how many are needed minimum?" Etc etc. There's really no point to the duration stuff other than to discourage people saying "bring out 1,000 stopwatches and then stare at your prisoners to determine the exact time of death."

I'll try this.
Spoiler: