using power of 2 approach doubles the scope of search each time.
How about using approximation. Say I have lower bound lb and upper bound ub.
Now -

initially lb = 0, ub = 1;

while (a[ub] < k)
{
    lb = ub;
    ub = (ub*k) / a[ub];
}

after end of this loop we'll have a lower bound and upper which should
provide a narrow scope.

Feedback welcome :-),
- Ravindra

On Mon, Oct 24, 2011 at 7:09 PM, Bittu Sarkar <[email protected]> wrote:

> @Ankur Don't think there's any major reason for using powers of 2 except
> the fact that computing the powers of 2 can be done very efficiently than
> computing the powers of any other number. Complexity in any case remains the
> same.
>
>
> On 24 October 2011 10:29, rahul sharma <[email protected]> wrote:
>
>> +1 ankur
>>
>>
>> On Mon, Oct 24, 2011 at 1:26 AM, Ankur Garg <[email protected]> wrote:
>>
>>> Use Binary Search
>>>
>>> start = 2^n-1 high =2^n where n=0,1....
>>>
>>> On Mon, Oct 24, 2011 at 12:28 AM, sunny agrawal <[email protected]
>>> > wrote:
>>>
>>>> hint 1: try to find 2 indexes i, j such that a[i] <= K <= a[j]
>>>>
>>>>
>>>> On Sun, Oct 23, 2011 at 11:23 PM, Ankuj Gupta <[email protected]>wrote:
>>>>
>>>>> Given a sorted array of Infinite size, find an element ‘K’ in the
>>>>> array without using extra memory in O (lgn) time
>>>>>
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>>>> Sunny Aggrawal
>>>> B.Tech. V year,CSI
>>>> Indian Institute Of Technology,Roorkee
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> Bittu Sarkar
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> Indian Institute of Technology Kharagpur
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