please help me with the following problem:
http://www.spoj.com/problems/JUICE/

bit mask will require very large memory.
If I sort the intervals in decreasing order of their start time.. I still 
cant make it to a dp
If I sort the intervals in decreasing order of their finish times I am 
still not getting a recurrence for dp that is valid
If I convert this to an interval graph, I have to find the maximum number 
of vertices that can be included in some clique of size >=3. But this also 
seems like a brute force approach. 

Which approach to try?? please help!!

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