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Topic: Safe combination (Read 1013 times) |
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maryl
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You are to open a safe without knowing the combination. Beginning with the dial set at zero, the dial must be turned counter-clockwise to the first combination number, (then clockwise back to zero), and clockwise to the second combination number, (then counter-clockwise back to zero), and counter-clockwise again to the third and final number, where upon the door shall immediately spring open. There are 40 numbers on the dial, including the zero. Without knowing the combination numbers, what is the maximum number of trials required to open the safe (one trial equals one attempt to dial a full three-number combination)?
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BNC
Uberpuzzler
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Posts: 1732
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Re: Safe combination
« Reply #1 on: Jul 13th, 2003, 10:48pm » |
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Two questions: 1. Is zero a valid combination number? 2. Upon failure, must the dial be turned back to zero before another attemp is made?
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How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
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maryl
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on Jul 13th, 2003, 10:48pm, BNC wrote:Two questions: 1. Is zero a valid combination number? 2. Upon failure, must the dial be turned back to zero before another attemp is made? |
| 1. Yes 2. No
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Nick
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I count the number of turns required to be 1600. This includes 0,0,0 as a combination. My guess is low because the last digit is irelevant. If the safe pops open when you reach the last number, then on the last number, just go past each number, and when you have the first 2 numbers of the combination right, the last one should immediately open the safe. I would suggest starting with 0,0,x and then 1,0,x followed by 2,0,x... Is 1600 correct?
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maryl
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Yup, that cracks it Nick. Could you hide your answer though, by inserting the word hide in square brackets before the answer, and /hide in the same brackets after -without any spaces between the brackets.
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Nick
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My bad... it was late...
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towr
wu::riddles Moderator Uberpuzzler
Some people are average, some are just mean.
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Posts: 13730
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Re: Safe combination
« Reply #6 on: Jul 15th, 2003, 12:41pm » |
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Nick's a guest, so he can't edit his post. You'd have to ask William.
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Wikipedia, Google, Mathworld, Integer sequence DB
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Nick
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actually, in conjunction with it being late, I was excited for figuring out one of these damn riddles that no one posted an answer to yet... Sorry again.
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