Thanks Hassan. But I was more interested in knowing the mathematic proof of
Partial Quick Sort.

-- 
Amitesh




On Sun, Jun 17, 2012 at 7:54 PM, Hassan Monfared <[email protected]>wrote:

> O(N*logM)
>
> On Sat, Jun 16, 2012 at 5:15 PM, Amitesh Singh <[email protected]>wrote:
>
>> Hi Guys,
>>
>> *Problem: *Rearrange a given array with n elements, so that m places
>> contain the m smallest elements in ascending order.
>>
>> *Solution 2:* using QuickSort method approach.
>> [image: n = r -p + 1]
>>
>> [image: \bold{PARTIAL-QUICKSORT(A,p,r,m)}: \newline if\; p<r \newline q
>> \leftarrow RANDOMIZED-PARTITION(A,p,r) \newline
>> PARTIAL-QUICKSORT(A,p,q-1,m) \newline if \; q<m-1 \newline
>> PARTIAL-QUICKSORT(A,q+1,r,m)]
>>
>> http://amiteshsingh.wordpress.com/2012/06/16/partial-sorting/
>>
>> I know if m = n, then complexity of Partial sorting is same as QuickSort.
>> but what would be the *average case analysis* in terms of n and m?
>>
>> Any suggestion would be highly appreciated.
>>
>> --
>>
>> Amitesh
>>
>>
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