I thinking in this property but i dont know how to use :(
Euclid, in his book Elements, demonstrated that there is a infinnity of
suits early Pythagoreans. Moreover, he found a formula that generates all
primitive Pythagorean suits. Given two natural numbers m> n, the suit (a, b,
c), where:
a = m ^ 2 - n ^ 2,
b = 2mn,
c = m ^ 2 + n ^ 2,
Wladimir Araujo Tavares
*Federal University of Ceará <http://lia.ufc.br/%7Ewladimir/>
Homepage <http://lia.ufc.br/%7Ewladimir/> |
Maratona<https://sites.google.com/site/quixadamaratona/>|
*
On Thu, Oct 13, 2011 at 1:59 PM, ravindra patel <ravindra.it...@gmail.com>wrote:
> Hi,
> Another question I faced in Amazon F2F.
>
> Given an unsorted array of integers, find all triplets that satisfy x^2 +
> y^2 = z^2.
>
> For example if given array is - 1, 3, 7, 5, 4, 12, 13
> The answer should be -
> 5, 12, 13 and
> 3, 4, 5
>
> I suggested below algo with complexity O(n^2) -
>
> - Sort the array in descending order. - O(nlogn)
> - square each element. - O(n)
>
> Now it reduces to the problem of finding all triplets(a,b,c) in a
> sorted array such that a = b+c.
>
> The interviewer was insisting on a solution better than O(n^2) which I dont
> think is feasible, but I couldn't prove that. Anyone has any idea.
>
>
>
> Thanks,
> - Ravindra
>
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