it seems kind of weird that map would work like that.  i understood
map as taking the first item of every collection and applying f to
it.  e.g (map + [2 4] [6 8])  -> [8 12]

In this case, since answer? takes a collection as argument I guess map
just applies answer? to each collection?  but don't all the
collections have to be the same size or one will be exhausted?  And
then it seems that answer is acting independently on each collection.
Is that because answer?  only takes one argument, whereas a fcn like +
takes 2 arguments.  Sorry, I am a little bit confused.  The other
responses seemed very helpful too, but have not yet tried to figure
them out.  thx!

On Mar 10, 12:18 pm, Wilson MacGyver <wmacgy...@gmail.com> wrote:
> you can define a function to filter the result
>
> like
>
> (defn answer? [x] (filter #(every? integer? %) x))
>
> and then just call it by doing
>
> user=> (map #(answer? %) (trips (range 1 7)))
> (() () ([3 4 5]) () ())
>
>
>
> On Wed, Mar 10, 2010 at 1:20 PM, Glen Rubin <rubing...@gmail.com> wrote:
> > I am working on the following problem:
>
> >   Find the only Pythagorean triplet, {a, b, c}, for which a + b + c =
> > 1000
>
> > My strategy is to produce a series of triplets of a^2 + b^2 and then
> > filter out the ones where the c^2 is a perfect square, in order to
> > determine Pythagorean triplets.
>
> > I wrote a function to produce triplets that takes a range as input:
>
> > (use '[clojure.contrib.math :only (sqrt)])
>
> > (defn trips [coll]
> >  (loop [a (first coll) b (rest coll) trip []]
> >    (cond (seq b)
> >          (recur (first b) (rest b) (conj  trip (map #(vector a % (sqrt (+ (*
> > a a) (* % %)))) b)))
> >          true trip)))
>
> > ,so if I want to see all triplets over the range of 1-7, I just do:
>
> > (trips (range 1 7)),   which yields the following;
>
> > [([1 2 2.23606797749979] [1 3 3.1622776601683795] [1 4
> > 4.123105625617661] [1 5 5.0990195135927845] [1 6 6.082762530298219])
> > ([2 3 3.605551275463989] [2 4 4.47213595499958] [2 5
> > 5.385164807134504] [2 6 6.324555320336759]) ([3 4 5] [3 5
> > 5.830951894845301] [3 6 6.708203932499369]) ([4 5 6.4031242374328485]
> > [4 6 7.211102550927978]) ([5 6 7.810249675906654])]
>
> > Obviously the only Pythagorean triplet burried in there is 3, 4, 5.
>
> > Now, I can easily test a single vector for integers as follows:
>
> >  (map integer? [5 6 7])
>
> > However, the output of my trips function yields multiple collections
> > of vectors inside of a larger vector.  I am completely befuddled as to
> > how to process this behemoth.
>
> > I guess I need to use some functions for merging collections?
>
> > Any help apprectiated.  thanks!!
>
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