I like the successive sums idea. Thank you.

On Thu, 7 Jan 2021 at 12:25, Raul Miller <[email protected]> wrote:
>
> You've got too many undefined / unreferenced / misreferenced symbols
> here for me to be completely sure some of the details of what you are
> saying.
>
> That said, I think you might be looking for something like this:
>
>    F=: {{</.~ +/\@(1,2~:/\])@:u}}
>    <&0 F _1 _2 0 1 2 _1 4 5 _6
> +-----+-----+--+---+--+
> |_1 _2|0 1 2|_1|4 5|_6|
> +-----+-----+--+---+--+
>
> Thanks,
>
> --
> Raul
>
> On Thu, Jan 7, 2021 at 4:12 AM Justin Paston-Cooper
> <[email protected]> wrote:
> >
> > I am sure this has been asked and formulated somewhere else. I don't
> > know what the name of it is.
> >
> > Let G be a set of groups. Given a list `l =: l_1 ... l_2` and a
> > property `p` such that `p l_i` is in G, I would like a function `f`
> > which partitions `l` into the successive maximally contiguous runs
> > `r_1 ... r_k` such that for each `i`, `r_i` is a substring of `l`,
> > there exists one `g` in G such that all `p r_ij = g` and the
> > concatenation of `r_1 ... r_k` is equal to the original `l`.
> >
> > Examples:
> >
> > l = _1 _2 0 1 2 _1 4 5 _6`
> > p = <&0
> >
> > f l = _1 _2 ; 0 1 2 ; _1 ; 4 5 ; _6
> >
> > ;. gets close, but one would need to specify where groups end possibly
> > by comparing successive pairs of applications of `p`. Those positions
> > would somehow need to be indicated as frets.
> >
> > /. gets close, but concatenates separate runs within the same group.
> >
> > Is this trivial, or should I write my own code for this?
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