@Shachindra: The second part of my solution can definitely be done in
O(n) time . Take 2 pointers : one pointing to the start of the array
and the second pointing to the end of the array. If sum of these 2 is
less than the required sum, increment the first pointer else increment
the second pointer .Iterate till u get the sum.
I hope its clear now. The same has been pointed out by Sunny.



On Tue, Jun 28, 2011 at 6:29 AM, sunny agrawal <sunny816.i...@gmail.com> wrote:
> 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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