m(</."1 ~ [:#~ #S:0)~ r
+-------+-----+---+-+
|9 8 6 1|2 2 2|6 8|7|
+-------+-----+---+-+
|5 4 8 4|2 7 9|1 4|1|
+-------+-----+---+-+
|4 3 3 7|7 0 6|7 6|6|
+-------+-----+---+-+


R.E. Boss


> -----Oorspronkelijk bericht-----
> Van: Programming <[email protected]>
> Namens 'Michael Day' via Programming
> Verzonden: dinsdag 7 april 2020 20:02
> Aan: [email protected]
> Onderwerp: Re: [Jprogramming] Partitioning
> 
> Not an exper, moi, but a look at NuVoc suggests:
> 
>     1 0 0 0 1 0 0 1 0 1 <;.1"1  r
> +-------+-----+---+-+
> |9 8 6 1|2 2 2|6 8|7|
> +-------+-----+---+-+
> |5 4 8 4|2 7 9|1 4|1|
> +-------+-----+---+-+
> |4 3 3 7|7 0 6|7 6|6|
> +-------+-----+---+-+
> 
> Using just the sizes of the elements m suggests this for par :
> 
>     par =: ;@:((1 {.~ #)&.>)@:[ <;.1"1 ]
> 
> 
> and then:
> 
> 
>     m par r
> +-------+-----+---+-+
> |9 8 6 1|2 2 2|6 8|7|
> +-------+-----+---+-+
> |5 4 8 4|2 7 9|1 4|1|
> +-------+-----+---+-+
> |4 3 3 7|7 0 6|7 6|6|
> +-------+-----+---+-+
> 
> 
> Please note this works just as well:
> 
>      (;:'abcd efg ij k') par r
> 
> 
> So you might as well just use:
> 
> 
>     4 3 2 1 (;@:((1 {.~ [)&.>)@:[ <;.1"1 ])r
> +-------+-----+---+-+
> |9 8 6 1|2 2 2|6 8|7|
> +-------+-----+---+-+
> |5 4 8 4|2 7 9|1 4|1|
> +-------+-----+---+-+
> |4 3 3 7|7 0 6|7 6|6|
> +-------+-----+---+-+
> 
> Just a first shot - the experts will have something far superior to offer!
> 
> 
> Mike
> 
> 
> On 07/04/2020 18:32, Skip Cave wrote:
> > Given an array of random integers:
> >
> > r
> >
> > 9 8 6 1 2 2 2 6 8 7
> >
> > 5 4 8 4 2 7 9 1 4 1
> >
> > 4 3 3 7 7 0 6 7 6 6
> >
> >
> > And a partitioning template:
> >
> > ]m=.0 1 2 3;4 5 6;7 8;9
> >
> > ┌───────┬─────┬───┬─┐
> >
> > │0 1 2 3│4 5 6│7 8│9│
> >
> > └───────┴─────┴───┴─┘
> >
> >
> > How to produce the following partitions of r?
> >
> > m par r
> >
> > ┌───────┬─────┬───┬─┐
> >
> > │9 8 6 1│2 2 2│6 8│7│
> >
> > ├───────┼─────┼───┼─┤
> >
> > │5 4 8 4│2 7 9│1 4│1│
> >
> > ├───────┼─────┼───┼─┤
> >
> > │4 3 3 7│7 0 6│7 6│6│
> >
> > └───────┴─────┴───┴─┘
> >
> > How do you define the dyadic par verb in m par r?
> >
> > Skip Cave
> > ----------------------------------------------------------------------
> > For information about J forums see
> http://www.jsoftware.com/forums.htm
> 
> 
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