can any one give counter example where sorting doesn't work?

On Sat, Mar 23, 2013 at 3:15 PM, rakesh kumar <[email protected]>wrote:

> this was a facebook online programming contest question so right now there
> is no link available for that
>
>
> On Sat, Mar 23, 2013 at 2:59 PM, Lucifer <[email protected]> wrote:
>
>> Looks like a dp problem..
>> I have an idea..
>> I believe that u must have this problem hosted on a system having a code
>> checker..
>> Can you provide the link to the same, so that we can see if the logic
>> works..
>>
>>
>> On Saturday, 23 March 2013 14:29:42 UTC+5:30, rakesh kumar wrote:
>>>
>>>
>>> There are N objects kept in a row. The ith object is at position x_i.
>>>> You want to partition them into K groups. You want to move all objects
>>>> belonging to the same group to the same position. Objects in two different
>>>> groups may be placed at the same position. What is the minimum total amount
>>>> by which you need to move the objects to accomplish this?
>>>>
>>>> Input:
>>>> The first line contains the number of test cases T. T test cases
>>>> follow. The first line contains N and K. The next line contains N space
>>>> seperated integers, denoting the original positions x_i of the objects.
>>>>
>>>> Output:
>>>> Output T lines, containing the total minimum amount by which the
>>>> objects should be moved.
>>>>
>>>> Constraints:
>>>> 1 <= T <= 1000
>>>> 1 <= K <= N <= 200
>>>> 0 <= x_i <= 1000
>>>>
>>>> Sample Input:
>>>> 3
>>>> 3 3
>>>> 1 1 3
>>>> 3 2
>>>> 1 2 4
>>>> 4 2
>>>> 1 2 5 7
>>>>
>>>> Sample Output:
>>>> 0
>>>> 1
>>>> 3
>>>>
>>>> Explanation:
>>>>
>>>> For the first case, there is no need to move any object.
>>>> For the second case, group objects 1 and 2 together by moving the first
>>>> object to position 2.
>>>> For the third case, group objects 1 and 2 together by moving the first
>>>> object to position 2 and group objects 3 and 4 together by moving object 3
>>>> to position 7. Thus the answer is 1 + 2 = 3.
>>>>
>>>>
>>>> I thought of sorting the array and then calculating difference but no
>>>> success.Please help
>>>>
>>>
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