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Given that definition, belg4mit is absolutely right - this is a 1-D knapsack. Look in any upper-level algorithms book or just google "knapsack algorithm". My algorithm would have given you the smallest number of largest individual segements without taking into account the total coverage. (It can be easily extended to that by figuring out the all the overlaps for a given new segment, then comparing the total coverage between the new segment and the old segment(s). However, I would go with the algorithm that PhD's have optimized. If you cannot figure out how to write it, I'd be glad to provide an implementation of my naive version.)

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In reply to Re3: Comparing 2-D co-ordinates by dragonchild
in thread Comparing 2-D co-ordinates by aging acolyte

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