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duffman
Jul 18, 12 13:57
Post #51 of 63
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Re: Math puzzle [klehner]
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klehner wrote:
So what would be the answer for, say, 51?
seems it's n+1 for a prime, and the minimum of the prime factors otherwise, so 3^1 * 17^1 means
min(f(3), f(17) = min(4, 18) = 4
i'm perplexed by 11 and 13 are you sure those are right?
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duffman
Jul 18, 12 13:59
Post #52 of 63
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Re: Math puzzle [JRenfro]
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if you wrote a computer program to do this, then shame on you. that's a very boring way to solve this sort of problem!
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klehner
Jul 18, 12 14:03
Post #53 of 63
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Re: Math puzzle [duffman]
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duffman wrote:
klehner wrote:
So what would be the answer for, say, 51?
seems it's n+1 for a prime, and the minimum of the prime factors otherwise, so 3^1 * 17^1 means
min(f(3), f(17) = min(4, 18) = 4
i'm perplexed by 11 and 13 are you sure those are right?
Fat fingered, since corrected. The concise solution for n x n is p + 1, where p is the smallest prime factor of n.
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Of course, with your ears stuffed with outrage cotton balls, all you heard was, rahrahra, govt comes to get your guns, rhahrahrah, stamp out your FREEEEEDOM! - slowguy
duffman
Jul 18, 12 14:07
Post #54 of 63
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Re: Math puzzle [klehner]
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well done sir. how about the more general case, i.e. the class isn't a perfect square (e.g. 60 grouped into 10s)? i'm not going to think about about that one...
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BarryP
Jul 19, 12 6:47
Post #55 of 63
(475 views)
Re: Math puzzle [duffman]
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6 classes of 10? That shouldn't be hard now that we've worked through the last one.
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http://forum.slowtwitch.com/...runtraining;#1612485
duffman
Jul 19, 12 7:24
Post #56 of 63
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Re: Math puzzle [BarryP]
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Do the math and let me know the answer...I'm a bit too lazy
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BarryP
Jul 19, 12 9:28
Post #57 of 63
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Re: Math puzzle [duffman]
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I started, realized it was a tad more complicated, and then thought, "I really shouldn't blow another afternoon at work!"
; ^ )
-----------------------------Baron Von Speedypants
-----------------------------RunTraining articles here:
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BarryP
Jul 19, 12 10:13
Post #58 of 63
(430 views)
Re: Math puzzle [duffman]
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Okay, the answer to 6 classes of 10 is 1 Day. If you have 10 people in one class, you have to have at least 10 classes in order to disperse the entire class into 10 differetnt classes on the next day.
So the better question would be 10 classes of 6.
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http://forum.slowtwitch.com/...runtraining;#1612485
duffman
Jul 19, 12 10:33
Post #59 of 63
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Re: Math puzzle [BarryP]
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Right. Thought you weren't going to waste a work day :)
So then 10 classes of six?
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Eppur si muove
Jul 24, 12 5:51
Post #60 of 63
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Re: Math puzzle [klehner]
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Unless I'm missing something, the longest number of days for 4x4 is at least 4, not 3:
ABCD EFGH IJKL MNOP
AEIM BFJN CGKO DHLP
AFKP BELO CHIN DGJM
AGLN BHKM CEJP DFIO
(This post was
edited
by Eppur si muove on Jul 24, 12 6:05)
Eppur si muove
Jul 24, 12 6:54
Post #61 of 63
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Re: Math puzzle [Eppur si muove]
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Actually, make that 5 days! One more day can be added to the above, as follows:
AHJO BGIP CFLM DEKN
I think someone has already pointed out why it would be impossible to go further than 5 days for 4x4=16 people.
klehner
Jul 24, 12 7:00
Post #62 of 63
(318 views)
Re: Math puzzle [Eppur si muove]
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With your solution also comes
AHJO BGIP CFLM DEKN
For n+1 for a non-prime number.
As this puzzle comes from the NYTimes, I submitted this as a comment.
http://wordplay.blogs.nytimes.com/...ners/?ref=crosswords
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Of course, with your ears stuffed with outrage cotton balls, all you heard was, rahrahra, govt comes to get your guns, rhahrahrah, stamp out your FREEEEEDOM! - slowguy
Eppur si muove
Jul 24, 12 7:16
Post #63 of 63
(310 views)
Re: Math puzzle [klehner]
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Obviously, "one greater than the smallest prime factor" was a premature conclusion.
It's a neat puzzle, and until your last post I was wondering where you found it (or if you had thought of it yourself). It seems to me that we still don't have a rigorously demonstrated answer for the general
n x n
case.
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