I think by using min/max heap we can fetch the kth largest/smallest data 
from the heap. But here there is one more point how to ensure that the data 
is smallest in last kth day. Here you can use interval/segment(augmented 
version of heap tree) tree, where u can store the interval/segment on the 
basis of date and retrieve the same information.

On Sunday, 15 July 2012 12:46:02 UTC+5:30, adarsh kumar wrote:
>
> Min or max heap accordingly. This will do the job in O(log n) time.
>
> On Sun, Jul 15, 2012 at 1:25 AM, Navin Kumar <algorithm.i...@gmail.com>wrote:
>
>> A set of integer values are being received (1 per day). Store these 
>> values and at any given time, retrieve the min and max value over the last 
>> k days. What data structures would you use for storing and retrieving ? 
>>
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