On Aug 24, 2007, at 9:18 , Arie Groeneveld wrote:

Hi,

I defined several functions for calculating the number
of trailing zero's of n!


tm = sum . takeWhile(>0) . iterate f . f
   where f = flip div 5

tm1 n = sum . takeWhile(>0) . map (div n . (5^)) $ [1..]
tm2 n = sum . takeWhile(>0) . map (div n) $ iterate ((*)5) 5
tm3 = sum . takeWhile(>0) . flip map (iterate ((*)5) 5) . div



Questions:

Which one is the most elegant one generally speaking?
Which one is most natural in Haskell?
Is there more 'beauty' to possible?


My personal choice is 'tm'.
I like 'tm3' (a revised version of tm2) in terms of
pointlessness and not having a 'where', but I think
it's a bit contrived because of the 'flip'.

Comments?

Here's a much more inefficient version, but it has the merit of being very easy to understand:

tm_silly n = length $ takeWhile (=='0') $ reverse $ show $ product [1..n]

/Björn

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