Well, this "Olympiad" challenge led to some interesting responses.
First, Bert Gunther noted that the arragement of 1:17 must have
17 at one end, allowing it to be solved on paper in a few minutes.
That would definitely be in the spirit of the Olympiad, where
'"In the Olympiad it's about starting w
Since I thought this was a cool question, I posted it to StackOverflow.
Vincent Zookynd's answer is amazing and really exercises the power of R.
http://stackoverflow.com/questions/10150161/ordering-117-by-perfect-square-pairs/10150797#10150797
On Fri, Apr 13, 2012 at 10:06 PM, Bert Gunter wr
... and a moment's more consideration immediately shows it cannot be
done for n = 18, since 16,17, and 18 cannot all be at an end.
-- Bert
On Fri, Apr 13, 2012 at 9:59 PM, Bert Gunter wrote:
> Folks:
>
> IMHO this is exactly the **wrong** way t go about this. These are
> mathematical exercises t
Folks:
IMHO this is exactly the **wrong** way t go about this. These are
mathematical exercises that should employ mathematical thinking, not
brute force checking of cases.
Consider, for example, the 1 to 17 sequence given by Ted. Then 17
**must** be one end of the sequence and 16 the other. (Why
On Fri, Apr 13, 2012 at 10:34:49PM +0100, Ted Harding wrote:
> Greetings all!
> A recent news item got me thinking that a problem stated
> therein could provide a teasing little exercise in R
> programming.
>
> http://www.bbc.co.uk/news/uk-england-cambridgeshire-17680326
>
> Cambridge Universit
Hi all,
I got another solution, and it would apply probably for the ugliest one :-(
I made it general enough so that it works for any series from 1 to n (n
not too large, please... tested up to 30).
Hint for a better algorithm: inspect the object 'friends' in my code:
there is a nice pattern
I thought this was kinda cool! Here's my solution, its not robust or
probably efficient
I'd to hear improvements or other solutions!
Justin
sq.test <- function(a, b) {
## test for number pairs that sum to squares.
sqrt(sum(a, b)) == floor(sqrt(sum(a, b)))
}
ok.pairs <- function(n, vec
Greetings all!
A recent news item got me thinking that a problem stated
therein could provide a teasing little exercise in R
programming.
http://www.bbc.co.uk/news/uk-england-cambridgeshire-17680326
Cambridge University hosts first European 'maths Olympiad'
for girls
The first European gir
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