Came up with this:

   f=.u@d
   u=.[: c g^:(#@n)
   d=.(<_) ; ]
   c=.[: > s {~ [: {.@\: #@>@s
   g=.}.@n ;~ {.@n ; s h {.@n
   n=.>@{:
   s=.>&{.
   h=.[: ; e&.>
   e=.<@[`([ ; [ , ])@.t
   t=.{:@[ < ]
   f 7 4 4 5 2 7 1 8 13 2 10 4 9 1 4 5 5 4 3 10 3 4 5 8 15 7 11 19
1 2 3 4 5 7 11 19

Let me know if you can optimize it.

> On Sep 2, 2016, at 11:30 AM, Raul Miller <[email protected]> wrote:
> 
> It seems to me that the "efficient algorithm" documented on the
> wikipedia page would have an analogous flaw. It is performing binary
> searches on unsorted lists. That said, it does perform correctly for
> this example.
> 
> Thanks,
> 
> -- 
> Raul
> 
> 
> 
> On Fri, Sep 2, 2016 at 12:18 PM, jonghough via Programming
> <[email protected]> wrote:
>> 
>> 
>> Yes, Raul is absolutely correct. And the flaw (in my solution, at least) is 
>> obvious now. I'll try for a correct solution again tomorrow.
>> 
>> 
>> 
>> 
>> From: 'Mike Day' via Programming
>> 
>> Sent: Saturday, September 3, 00:26
>> 
>> Subject: Re: [Jprogramming] Greatest Increasing Subsequence
>> 
>> To: 'Mike Day' via Programming
>> 
>> 
>> 
>> Same problem with my version, which was faster but equally wrong! Mike On 
>> 02/09/2016 14:57, Raul Miller wrote: > Actually, if we try your approach on 
>> -8 2 4 3 1 6 we get _8 _2 _1 > instead of _8 _4 _3 _1. > > Here's a brute 
>> force O(2^n) approach that I hacked up earlier - it > obviously only works 
>> on short lists: > > increasing=: (-: /:~)@#~"1 #:@i.@^~&2@# > longestinc=: ] 
>> #~ [: (#~ ([: (= >./) +/"1)) #:@I.@increasing > > We can do better, of 
>> course, but I have some other things I want to > deal with, first. > > 
>> Thanks, > --- This email has been checked for viruses by Avast antivirus 
>> software. https://www.avast.com/antivirus 
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