Oh... I see... I noticed that the ravel of the boxes did not match the original sequence and did not look close enough after that.
Anyways, I guess here's how I would approach this: reps=: 1+0,~0,2~:/\[:[^:(0~:[)/\.@:*2 -/\] ud=: reps ((1,2 =/\ [ # #\@]) <;.1 #) ] Thanks, -- Raul On Thu, May 20, 2021 at 10:42 AM R.E. Boss <r.e.b...@outlook.com> wrote: > > I thought it was clear from the output (therefore I used ?. in the testcases) > that the order of the input array should not be altered. > That was the constraint you were missing. > > > R.E. Boss > > > -----Original Message----- > From: Programming <programming-boun...@forums.jsoftware.com> On Behalf Of > Raul Miller > Sent: donderdag 20 mei 2021 16:33 > To: Programming forum <programm...@jsoftware.com> > Subject: Re: [Jprogramming] ups & downs > > I could use some additional details. > > I mean... it seems to me that Foo=:<@/:~ would minimally satisfy the > requirements which have been stated so far. > > But, presumably, there's some kind of "cost function" which we are trying to > minimize, and presumably that has something to do with how pairs are handled? > > Or, perhaps, you have a constraint that no more than three of any given > number may appear in any box, and I think I see a constraint that adjacent > boxes must alternate their order. But perhaps there are also similar > additional metrics or constraints? > > Thanks, > > -- > Raul > > On Thu, May 20, 2021 at 6:43 AM R.E. Boss <r.e.b...@outlook.com> wrote: > > > > Given an array of numbers, like > > > > ?.@#~20 > > 14 16 8 6 5 8 6 16 16 19 13 12 3 1 9 12 17 0 9 5 > > > > there is always a sequence of (non-strict) ups & downs, like > > > > 14 16;16 8 6 5;5 8;8 6;6 16 16 19;19 13 12 3 1; 1 9 12 17;17 0;0 > > 9;9 5 > > +-----+--------+---+---+----------+------------+---------+----+---+---+ > > |14 16|16 8 6 5|5 8|8 6|6 16 16 19|19 13 12 3 1|1 9 12 17|17 0|0 9|9 > > |5| > > +-----+--------+---+---+----------+------------+---------+----+---+---+ > > > > Well, this is the way I prefer to have the ups & downs, where they share > > their border terms. > > Which verb makes this transformation? > > Elegance, as always, is appreciated, correctness is a must, efficiency a > > blessing. > > > > Some testcases: > > > > Foo ?.@#~25 > > +----+---+---+-------+-----+-----+----+---+---+----+-------+----+----+-------+----+----+----+----+------+---+ > > |19 6|6 8|8 6|6 10 23|23 16|16 21|21 1|1 9|9 8|8 22|22 13 1|1 14|14 > > |2|2 17 20|20 9|9 15|15 7|7 22|22 4 2|2 9| > > +----+---+---+-------+-----+-----+----+---+---+----+-------+----+----+-------+----+----+----+----+------+---+ > > Foo ?.@#~30 > > +--------+------+----+--------+--------+---------+----+-----+-----+----+----+-----+-----+----+-------+-------+-------+--------+-----+-----+ > > |24 26 28|28 6 5|5 28|28 16 16|16 16 26|26 19 3 2|2 13|13 11|11 19|19 > > |2|2 27|27 10|10 19|19 5|5 17 27|27 19 7|7 24 28|28 27 14|14 22|22 21| > > +--------+------+----+--------+--------+---------+----+-----+-----+----+----+-----+-----+----+-------+-------+-------+--------+-----+-----+ > > > > > > R.E. Boss > > ---------------------------------------------------------------------- > > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm