possible spoiler -
http://www.drdobbs.com/database/the-maximal-rectangle-problem/184410529

At a minimum, it help explains the problem



On Tue, Jun 20, 2017 at 1:02 PM, Xiao-Yong Jin <jinxiaoy...@gmail.com>
wrote:

> Brute force:
>
>     (\:*/"1);<@:((#,<./)\.)\2 6 7 4 1 7
> 2 6
> 3 4
> 4 2
> 2 4
> 1 7
> 1 7
> 1 6
> 3 2
> 6 1
> 5 1
> 5 1
> 2 2
> 1 4
> 4 1
> 4 1
> 3 1
> 3 1
> 1 2
> 2 1
> 2 1
> 1 1
>
> Though the complexity looks like n^3 to me.  There must be a more
> efficient algorithm.
>
> > On Jun 20, 2017, at 10:29 AM, Raul Miller <rauldmil...@gmail.com> wrote:
> >
> > Something I stumbled over today.
> >
> > If we have a series of bars of varying height, what's the largest
> > rectangle that can be drawn over the bars without covering any empty
> > space.
> >
> > For example:
> >
> >   '*'#"0~2 6 7 4 1 7
> > **
> > ******
> > *******
> > ****
> > *
> > *******
> >
> > I'll post a solution later, and I'll be interested in seeing if it's
> > basically the only obvious approach or if there's a variety of good
> > approaches. (I have reason to believe, though, that there's a better
> > way than what I came up with.)
> >
> > Thanks,
> >
> > --
> > Raul
> > ----------------------------------------------------------------------
> > For information about J forums see http://www.jsoftware.com/forums.htm
>
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
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