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Logic puzzle

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10 March 2020, 01:48 PM
wtg
Logic puzzle
You’ve been caught snooping around a spooky graveyard with your best friend. The caretaker, a bored old man fond of riddles (and not so fond of trespassers), imprisons each of you in a different room inside the storage shed, and, taking your phones, says, “Only your mind can set you free.” To you, he gestures toward a barred window. Through it, you can see 12 statues. Out of your friend’s window, which overlooks the opposite side of the graveyard, she can see eight. Neither of you know the other’s count.

The caretaker tells you each, individually, that together you can see either 18 or 20 statues. Unfortunately, there’s no way to tell your friend how many you can spot. The only way for you both to escape is for one of you to give the total number of visible statues. Get it wrong, and neither of you ever leave. The caretaker asks you each one at a time, once a day, and you can choose to answer or to pass. Both of you know that you’re always asked first. If you both pass on a given day, the question—are there 18 or 20?—is posed to each of you again the next day, and the next, and so on, until you get it right or wrong. The caretaker cackles, “If you need me, I’ll be out preparing your graves.”

How do you escape?


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We are all visitors to this time, this place. We are just passing through. Our purpose here is to observe, to learn, to grow, to love… and then we return home. - Australian Aboriginal proverb

Bazootiehead-in-training



10 March 2020, 01:55 PM
jodi
I don’t know. Pass the first day, then say 20?


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Smiler Jodi

11 March 2020, 03:01 PM
wtg
Anybody else want to take a shot?

I was sure that jon would chime in...


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We are all visitors to this time, this place. We are just passing through. Our purpose here is to observe, to learn, to grow, to love… and then we return home. - Australian Aboriginal proverb

Bazootiehead-in-training



11 March 2020, 03:33 PM
ShiroKuro
No idea... I'll think on it a bit...


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My piano recordings at Box.Net: https://app.box.com/s/j4rgyhn72uvluemg1m6u

11 March 2020, 03:45 PM
rontuner
I have no patience with these, so I looked it up!


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11 March 2020, 03:51 PM
wtg
Well, that's still a good exercise in a) conducting research and b) understanding the solution!

Wink


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We are all visitors to this time, this place. We are just passing through. Our purpose here is to observe, to learn, to grow, to love… and then we return home. - Australian Aboriginal proverb

Bazootiehead-in-training



11 March 2020, 05:49 PM
ShiroKuro
No spoilers please! Not yet, at least.

I still have no idea...


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My piano recordings at Box.Net: https://app.box.com/s/j4rgyhn72uvluemg1m6u

13 March 2020, 11:12 AM
wtg
Answer here.


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We are all visitors to this time, this place. We are just passing through. Our purpose here is to observe, to learn, to grow, to love… and then we return home. - Australian Aboriginal proverb

Bazootiehead-in-training