@bhupendra: I think you are talking about longest increasing subword.
But, i think the question is longest increasing subsequence!
definitions:
subword: a contiguous sequence of characters. eg: 'abb' is a subword
of 'cabber'
subsequence: a sequence of characters of the original string, with
order preserved. eg: 'abr' is a subsequence of 'cabber'

But these two terms are used differently at different places!
@Anand: Can you clarify what you meant(although i assume it's
subsequence)!

On Dec 31, 9:07 am, bhupendra dubey <bhupendra....@gmail.com> wrote:
> It can be done in O(n) time.
>
> int start_index=0, longest_sequence=0
>
> traverse the sequence and increment 't' for every a[i+1]>a[i]
> starting with zero till this holds true.
>
> assign 't' to longest_sequence
>
> assuming condition evaluates to false for a[k];
> repeat the above step but assign 't' to longest_sequence only when
> t>longest_sequence
> also change start_index to 'k'
>
> do this for the whole array.
>
>
>
> On Fri, Dec 31, 2010 at 8:20 AM, Prabakaran N <prabaf...@gmail.com> wrote:
> > You can use binary search
>
> > On 12/31/10, Anand <anandut2...@gmail.com> wrote:
> > > Anyone know how to find longest increasing subsequence in O(nlogn)
> > > complexity?
>
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