Well if you want a sum of exactly 0 (or any constant) , there is an O(N^2)
way

Take your array, and hash it, note that it is always possible to hash a
static set of keys so that the search/find in it is worst case O(1). This
takes O(N) space, and time.

Then over all the tuples of numbers in the original array (a,b) check if 0 -
(a+b) is there in the hash set, time complexity O(N*N).

For closest to 0 I guess the above solution is good.


On Mon, May 3, 2010 at 2:18 PM, jalaj jaiswal <jalaj.jaiswa...@gmail.com>wrote:

>
> given an array(unsorted) may contain negative numbers too
> find the index of three numbers whose sum is closest to zero  in  O(N2 log
> N) time and O(N) space.
>
> P.S -3 is more close to zero then -6 (number line ...)
> --
> With Regards,
> Jalaj Jaiswal
> +919026283397
> B.TECH IT
> IIIT ALLAHABAD
>
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-- 
We are here on earth to do good for others. What the others are here for, I
don't know.

Afroz Mohiuddin
Final Year Masters Student
Dept Computer Science and Engineering
Indian Institute of Technology Kanpur
Kanpur - 208016
INDIA

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