What is wrong with atul's solution of longest decreasing subsequece on 
length after sorting on area? I think the relationship is transitive as 
well.
e.g. box a fits inside b.
box b fits inside c
by transitivity, box a fits inside c.

Isn't this fine?

On Saturday, 24 March 2012 22:25:33 UTC+5:30, Don wrote:
>
> There is more to it than a longest increasing subsequence because the 
> "greater than" relationship is not transitive. 
> Don 
>
> On Mar 24, 3:05 am, atul anand <[email protected]> wrote: 
> > ok you need to put box into a box... 
> > so first requirnment willl be to sort on the basis of area of box. 
> > after this bcoz you are adding one box into another...the box you are 
> > putting inside big box ..shud have base length less than a big box or it 
> > wont fit in...even if its area is smaller.. 
> > now we reduced this problem of finding longest inc subsequence on the 
> basis 
> > of base length. 
> > On 24 Mar 2012 13:14, "Ratan" <[email protected]> wrote: 
> > 
> > 
> > 
> > > @atul can u plzz describe in detail the algo of modified subsequence 
> > > prob used here.... i m nt able to get it ... though tried a lot 
> > 
> > > On Sat, Mar 24, 2012 at 1:05 PM, atul anand <[email protected]> 
> > > wrote: 
> > > > it is modified longest increasing subsequence problem.. 
> > 
> > > > On 24 Mar 2012 12:26, "Ratan" <[email protected]> wrote: 
> > 
> > > >> You are given a lot of cuboid boxes with different length, breadth 
> and 
> > > >> height. You need to find the maximum subset which can fit into each 
> > > >> other. 
> > > >> For example: 
> > > >> If Box A has LBH as 7 8 9 
> > > >> If Box B has LBH as 5 6 8 
> > > >> If Box C has LBH as 5 8 7 
> > > >> If Box D has LBH as 4 4 4 
> > > >> then answer is A,B,D 
> > 
> > > >> A box can fit into another only and only if all dimensions of that 
> is 
> > > >> less than the bigger box. Also Rotation of boxes is not possible... 
> > 
> > > >> can ny1 suggest a good algo for this? 
> > 
> > > >> -- 
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> > > >> Ratan | 3rd Year | Information Technology | NIT ALLAHABAD 
> > 
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