This is  a Great Question ..

Answering My Opinion as Follows :-

1> Its QuickSort :-  Coz we compare on the basis of pivotal element so , we
are reducing half (or More ) of the total comparison by picking the the
pivot as a bench mark. All rest of the sorting do the full
element comparison.
2> Its Selection Sort :-  coz we swap picked up element only when we are
sure when I need to place it.
3> Sorry I didn't get the question properly as I am not aware of this cost
related information.

Thanks for sharing this question.


On Mon, Nov 21, 2011 at 11:34 AM, kumar raja <rajkumar.cs...@gmail.com>wrote:

>
> if we have set of n elements then
>
> 1) which sorting method uses least number of comparisons??
>
> 2) which sorting method uses least number of swaps??
>
> 3) suppose the array is 2 8 4 6 5 9
> if we want to swap 8  and 5 the cost is 2(5-2)=6   .here 5 and 2 are
> indices of 5 and 8.
> so what sorting method minimizes the cost, i want the answer in general
> case ,not for this particular array. it is also called least distance
> sorting
>
> --
> Regards
> Kumar Raja
> M.Tech(SIT)
> IIT Kharagpur,
> 10it60...@iitkgp.ac.in
>
>
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