How to find the longest continuous subsequence whose reverse is also a subsequence

Posted by iecut on Stack Overflow See other posts from Stack Overflow or by iecut
Published on 2010-03-19T04:45:50Z Indexed on 2010/03/20 2:41 UTC
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algorithm

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c#

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c

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sequence

Suppose I have a sequence x1,x2,x3.....xn, and I want to find the longest continuous subsequence xi,xi+1,xi+2......xi+k, whose reverse is also a subsequence of the given sequence. And if there are multiple such subsequences, then I also have to find the first.

ex:- consider the sequences:

abcdefgedcg here i=3 and k=2

aabcdddd here i=5, k=3

I tried looking at the original longest common subsequence problem, but that is used to compare the two sequences to find the longest common subsequence.... but here is only one sequence from which we have to find the subsequences. Please let me know what is the best way to approach this problem, to find the optimal solution.

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