On Wednesday, July 18, 2012 4:26:11 AM UTC+8, Navin Kumar wrote:
>
> @Dave sir,
> K is known in advance. Many people including me think stack as an 
> appropriate data structure but still i am not satisfied with this answer. 
>
> In case K is not known in advance : according to your solution when a new 
> item is inserted next larger and next smallest item is searched.Isn't it 
> cause much overhead?? can we think a better data structure to optimize this 
> ? 
>
> On Tue, Jul 17, 2012 at 10:52 PM, Dave <[email protected]> wrote:
>
>> @All: We seem to have different understandings of the problem. So Navin, 
>> as original poster, answer this question: Is k known in advance, or is it 
>> given in the request for the min and max elements. I assumed the latter, so 
>> that one request could ask for the max and min of the last 5 days and 
>> another could ask for the max and min for the last 100 days. Others seem to 
>> assume that k is known as the data are collected.
>>  
>> Dave
>>
>> On Saturday, July 14, 2012 2:55:48 PM UTC-5, Navin Kumar 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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>
> For the purpose of finding the max element:

Keep an input-restricted queue with elements in non-strict descending order.
Whenever a new element, says x, comes, remove the head if it is antiquated 
(not reside in the last k positions) and keep removing the last until it is 
greater then x. Retrieve the last element to get the max. Ditto for the min 
element. 

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