2nd part of ankit's solution can be easily done in O(n)
after sorting of array

i = 0, j = n-1
while(i < j)
if a[i]+a[j] == x , i and j are indexes of the elements
if a[i]+a[j] > x decrement j
if a[i]+a[j] < x increment i


On Tue, Jun 28, 2011 at 6:49 PM, Shachindra A C <sachindr...@gmail.com>wrote:

> @sagar : oops ! No need of sorting. Thank you for pointing out :)
>
>
> On Tue, Jun 28, 2011 at 6:41 PM, sagar pareek <sagarpar...@gmail.com>wrote:
>
>> @Shachindra
>> If you are using binary tree then why are you doing sorting first?
>>
>> @ANKIT
>> Yes  you can't do searching of sum of two numbers in less then O(n*n).
>>
>> On Tue, Jun 28, 2011 at 6:23 PM, Shachindra A C <sachindr...@gmail.com>wrote:
>>
>>> @ankit : I'm pretty confident that the second part of your solution
>>> cannot be done in O(n) time. Correct me if I am wrong!! Nevertheless, the
>>> overall time complexity remains O(n*log(n)), as you pointed out.
>>>
>>>
>>> On Tue, Jun 28, 2011 at 5:59 PM, Shachindra A C 
>>> <sachindr...@gmail.com>wrote:
>>>
>>>> @Ankit
>>>> Can you please explain the method to get the answer to the second
>>>> subpart of your solution in O(n) time?
>>>>
>>>> My solution to solve the problem in O(n log(n)) time is as follows:
>>>>
>>>> Insert the nodes of the sorted array into a binary tree. Then start with
>>>> the first node. Subtract the value of the node from X. Then search for the
>>>> result of the subtraction in the binary tree. This can be done in O(log n)
>>>> time, giving O(nlogn) for the overall complexity of the second subproblem.
>>>>
>>>> Please explain your logic.
>>>>
>>>>
>>>> On Tue, Jun 28, 2011 at 5:48 PM, Nitish Garg 
>>>> <nitishgarg1...@gmail.com>wrote:
>>>>
>>>>> Can you please explain how to solve the 2nd question?
>>>>>
>>>>> --
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>>>>
>>>>
>>>>
>>>> --
>>>> Regards,
>>>> Shachindra A C
>>>>
>>>>
>>>
>>>
>>> --
>>> Regards,
>>> Shachindra A C
>>>
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>>
>>
>>
>> --
>> **
>> Regards
>>  SAGAR PAREEK
>> COMPUTER SCIENCE AND ENGINEERING
>> NIT ALLAHABAD
>>
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>
>
>
> --
> Regards,
> Shachindra A C
>
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-- 
Sunny Aggrawal
B-Tech IV year,CSI
Indian Institute Of Technology,Roorkee

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