@rakesh : u misunderstood the question ..
As per u'r ans to ex is ...
1,3 to 2 --> cost = 1+3=4
10 to 9 --> cost = 10. => total cost = 10+4 =14.



On Sat, Mar 23, 2013 at 9:26 PM, rakesh kumar <[email protected]>wrote:

>
> Ok here is a counter example for your solution
>
> for n= 5 ,k=2
> 1 2 3 9 10
> n-k=>3 so moving first 3 elements ans = 1+2+3 =6
>
> but the answer should be 3
> by placing center of 2 groups be 2,9 and moving 1 ,3 to 2 and 10 to 9
>
>
> On Sat, Mar 23, 2013 at 9:09 PM, bharat b <[email protected]>wrote:
>
>> If we take examples shown above ..
>> 3 3
>> 1 1 3 --> we need 3 groups and 3 numbers are given.. no need to do
>> anything.
>> 3 2
>> 1 2 4 --> we need to form 2 groups ..sort it. n-k=1-> first 1 element(s)
>> has to be moved to other bigger elements. ans=1.
>> 4 2
>> 1 2 5 7 --> we need to form 2 groups.. sort it. n-k=2-> first 2 elements
>> has to be moved to last k elements in any manner(doesn't matter). here
>> ans=1+2=3.
>>
>> This is what I understood. if there is any fault, please give a counter
>> example.
>>
>>
>> On Sat, Mar 23, 2013 at 8:30 PM, rakesh kumar 
>> <[email protected]>wrote:
>>
>>> I don't get it how sorting will get us to the solution
>>>
>>>
>>> On Sat, Mar 23, 2013 at 7:23 PM, bharat b 
>>> <[email protected]>wrote:
>>>
>>>> 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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