I have a solution.I cant prove the correctness but by intuition I can
conclude.This is O(1) solution.

As we have 3 sorted arrays A,B,C.So only first and last element of
these 3 lists will be contributing for min/max tuple.Rest elements
will be varying from that max to min.

Suppose a={-1,-1,0}
b={-1,3,7,8,10}
c={0,1,2,3,4,5}

so -1,0 of A ,-1,10 of B and 0,5 of C will be contributing .So we find
all possible 8 tuples.Find minimum of these tuples.That will be the
answer.Solution if O(8) equilvalent to O(1).Please provide counter if
you can find.

On Dec 20, 11:13 am, yq Zhang <[email protected]> wrote:
> ok. Suppose you have 3 pointers i, j, k point to the element in A, B, C
> respectively. Initialize i = j =k = 0.
> for each step, you will compare A[i], B[j], C[k].
> if A[i] is the smallest, i++
> if B[j] is the smallest, j++
> if C[k] is the smallest, k++
> (this assumes numbers in A,B,C are unique, you should be able to eliminate
> this restriction by changing above logic a little bit.)
>
> for each step compute the current triple distance and keep the minimum.
>
> Thanks
>
> On Sun, Dec 19, 2010 at 9:51 PM, Saurabh Koar <[email protected]>wrote:
>
>
>
>
>
>
>
> > @yq: Heyy yq..I m not interested in what is equivalent to what and
> > what is not not equivalent to what..I m interested to a specific
> > optimized algorithm for the specific problem stated above.If u can
> > figure out equivalence u can also devise the algorithm for the above
> > problem.Nw would u please state that??or provide any link??
>
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