I'm not aware of any O(n) sort algorithms. Any (known) sort algorithm can 
have O(n) iff array is already sorted - kinda trivial case.

So sort will not work for this task...

On Wednesday, 18 April 2012 06:41:38 UTC-7, Dave wrote:
>
> @Viharri: A solution seems to require an O(n) sorting algorithm, and since 
> sorting by comparison is O(n log n), the algorithm must use one of the 
> other types of O(n) sorting algorithms. Since the data are not integers in 
> a bounded range, I suggest using a radix sort, carrying along an array of 
> indices. I.e., form an array of indices {0, 1, 2, ..., n-1} and perform the 
> same data movements on it as on the original data. When the original data 
> are sorted, then the array of indices will be the desired result.
>  
> Dave
>
> On Wednesday, April 18, 2012 8:07:33 AM UTC-5, VIHARRI wrote:
>
>> Can anybody give an O(n) algorithm for the following problem.
>>
>> Suppose if we have an array, I would like to construct an array with the 
>> elements which specify their corresponding position in the sorted array.
>>
>> For example if the array is { 0.87, 0.04, 0.95, 0.12, 0.36 } then the 
>> sorted array would be { 0.04, 0.12, 0.36, 0.87, 0.95 }.
>> Then output array would be {3, 0, 4, 1, 2 }.
>>
>> Hope I'm clear...
>>
>

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