This s nothing but a Topcoder problem based on Dynamic programming
link here
http://www.topcoder.com/tc?module=Static&d1=tournaments&d2=tccc03&d3=semiprob3


On Wed, Dec 15, 2010 at 6:56 PM, divya <sweetdivya....@gmail.com> wrote:
> A sequence of numbers is called a zig-zag sequence if the differences
> between successive numbers strictly alternate between positive and
> negative. The first difference (if one exists) may be either positive
> or negative. A sequence with fewer than two elements is trivially a
> zig-zag sequence.
>
> For example, 1,7,4,9,2,5 is a zig-zag sequence because the differences
> (6,-3,5,-7,3) are alternately positive and negative. In contrast,
> 1,4,7,2,5 and 1,7,4,5,5 are not zig-zag sequences, the first because
> its first two differences are positive and the second because its last
> difference is zero.
>
> Given a sequence of integers, sequence, return the length of the
> longest subsequence of sequence that is a zig-zag sequence. A
> subsequence is obtained by deleting some number of elements (possibly
> zero) from the original sequence, leaving the remaining elements in
> their original order.
>
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