[Nottingham] A numerical puzzle & "mathomatic"
modestforagenius at googlemail.com
Mon Jan 18 19:07:39 UTC 2010
I'm using BC to convert between bases for massive numbers
See here http://ubuntuforums.org/showthread.php?t=1383101
2010/1/18 Richard Ward <daedalusfall at gmail.com>
> Martin wrote:
> > Camilo Mesias wrote:
> >> It doesn't need that much brute force because the equation is so
> >> limited. The a+b+c bit appears twice and they are single digits. If n
> >> is a+b+c we can figure n is between 0 and 27, and n^2 + n is a three
> >> digit number. We have to start at n=10 to get a three digit result
> >> (110) but those digits don't add up to 10...
> >> n=11 (132)...
> >> n=12 (156) bingo
> >> just as well because my times tables run out there!
> > Very good and well deduced.
> > Thinking further about trying for an algebra solution... There isn't one
> > in that all that any manipulation can do is either rearrange the formula
> > or just prove an identity.
> > At least it prompted a brief look at the "Mathomatic" program which
> > turned out to be rather neat. Hope I haven't spoilt anyone's homework!
> > Thanks for that,
> > Cheers,
> > Martin
> Everyone likes a good maths puzzle, right?
> The new scientist has one every week. They are mostly fun combinatorics
> problems which can be solved in a few elegant lines of python (or your
> favorite language). I discovered the wonderful 'bc' because of this.
> Just try:
> echo 9^99999|bc
> Its so fast! And supports scripting in a language a little like c.
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