My version of RE's general idea... 
where the client spec is modularized because its not completely clear how to 
proceed. (im assuming cutoff box size is k%2)


joinlast2 =: (>@:(_2&{) , >@:{:)
clientspec=: (_2&}. ,<@: joinlast2)[EMAIL PROTECTED](( -:@:#@:>@:(_2&{)) < 
#@:>@:{:)

   clientspec  _6 (<\ i.) 15
+-----------+----------------------+
|0 1 2 3 4 5|6 7 8 9 10 11 12 13 14|
+-----------+----------------------+
   clientspec  _6 (<\ i.) 16
+-----------+-------------+-----------+
|0 1 2 3 4 5|6 7 8 9 10 11|12 13 14 15|
+-----------+-------------+-----------+

----- Original Message ----
From: R.E. Boss <[EMAIL PROTECTED]>
To: Programming forum <[email protected]>
Sent: Wednesday, November 15, 2006 8:30:43 AM
Subject: RE: [Jprogramming] Re: Coding Problem

Even a first shot can be more elegant
   _3 ((*@|@|#) (]`(_2:(}.,[:,&.>/{.)])@.[) <\) i.10
+-----+-----+-------+
|0 1 2|3 4 5|6 7 8 9|
+-----+-----+-------+

R.E. Boss

-----Oorspronkelijk bericht-----
Van: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] Namens R.E. Boss
Verzonden: woensdag 15 november 2006 12:34
Aan: 'Programming forum'
Onderwerp: RE: [Jprogramming] Re: Coding Problem

A first shot: use (-K) <\ i.N  and append the content of the last two boxes
if the last one is a shard.

   _3 ((*@|@|#) (]`(_2&}.,[:,&.>/_2&{.)@.[) <\) i.10
+-----+-----+-------+
|0 1 2|3 4 5|6 7 8 9|
+-----+-----+-------+

R.E. Boss 


-----Oorspronkelijk bericht-----
Van: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] Namens June Kim
Verzonden: woensdag 15 november 2006 6:17
Aan: Programming forum
Onderwerp: [Jprogramming] Re: Coding Problem

One more solution:

cs=: [: <. [ %~ [: # ]
b1=: 0 = cs | ]
b2=: ] < [ * cs
f=: (b1*.b2) < ;. 1 ]


2006/11/15, June Kim <[EMAIL PROTECTED]>:
> 2006/11/15, June Kim <[EMAIL PROTECTED]>:
> > from http://c2.com/cgi/wiki?CodingProblem
> >
> > Given K, answer an ordered collection of K ordered collections of size
> > approximately N / K, such that the first contains the first N / K
> > objects, the second the second N / K, etc.
> >
> > There is a J solution on that page but it doesn't work in all cases.
> >
> > Following is my solution (with one issue though):
> > c=: [: <. [ %~ [: # ]
> > hd=: ([: <: [) * c
> >
> > b1=: hd {.]
> > b2=: hd }.]
> > f=: <@b2 ,~  [EMAIL PROTECTED] <\ b1
> >
> > assert (0 1 2;3 4 5;6 7 8)-:3 f i.9
> > assert ((,:0);1 2)-:2 f i.3
> > assert (0 1 2;3 4 5;6 7 8 9)-:3 f i.10
> >
> > assert ((0$<''),<0 1)-: 1 f i.2      NB.  $ > 1 f i.2  is 1 2, not 2
> > as I expected
> >
> > I don't like the last line -- that problem occurs once in a while. How
> > could I make it to pass  "assert (<0 1)-:1 f i.2" with a simple
> > modification?
>
> In other words, assert (,:<0 1)-: 1 f i.2
>
> Hm... Maybe I was wrong.
>
> My solution's result is more consistent than how I wanted the result to
be.
>
> The return value of f is, an array of rank 1. Each item of the array
> is of rank 1. Then my previous solution is more consistent.
>
> I am sometimes confused(and make mistakes) with the fact that in J we
> have scalars of which rank is empty, which is different from a rank-1
> array of a single item. Even a boxed value can a scalar or a rank-1
> array(say <1 and ,:<1).
>
> >
> > I am interested in seeing other J solutions.
> >
>
> Still.
>
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