Link. There is no AC solution for this problem, neither I could find any blog/post related to it. If anyone can give some hint/idea, that would be of much help.
Poor, lonely problem :(:
It’s actually a fairly straightforward DP problem - solution is here.
I’ll come back and document it better later, but for now should be plenty of “hints” in there to get you started!
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Can you please explain your approach?
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Thank you so much @ssjgz !
You named varibales so well there was no need of comments. Thanks again. 
and yeah it was a simple dp problem, unfortunately I could not come up with the proper dp states.
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