>
>
> Selecting a rectangle is O(log N * M) where M is the number of
> datapoints in the 'band'.
> Anyone know of anything better?
>


i think u can come up with an proof that we can make any algorithm that has
complexity less then O(log N * M)...if u have all point array sorted...
one more thing...that before searching the point u actually sorting the
points...that is taking complexity O((N*logN)*M) at laest..
so order of complexity is O(N*lonN) if M<<N...
in this i think we can improve...and can be done in O(N) only....just by
searching all elements...
-- 
With Best Regards...
-----------
Manish

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