I am trying a dp solution but getting a weird runtime error. Please point out the bug. I have explained the code in comments.
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Define Following Block outside main it will work Fine. 
int inv[200][200]; //Stores possible inversions
int w[200000]; //Stores the word
int dp[200][200000];
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thanks dude for such a quick reply. really helpful community we have. btw can you explain why making those arrays local was creating problem? i m not so good in c/c++.