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Questionorder of algorithm Pin
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RichardM112-Nov-09 12:58
RichardM112-Nov-09 12:58 
I'm answering both of you, so I am just tacking it on to the end.
The problem in what I wrote was with the T(sqrt(n)) part of the function.
The answer hinges on what F(n) = sqrt(n)*F(sqrt(n)) is. I was thinking it approached (n), but I see I was wrong, it may approach(n^1.5), which would mean it dominated.
When you add in the (+ n), with an infinite recursion, I see that this goes to infinity, even for n = 1.
As a matter of fact, I will kick my own but on this and say that, while I don't know which order of infinity this ends up being, but, since there is no stop condition on the recursion, the answer, even for n=1 is infinity, given this analysis:
T(1) = 1*T(1)+1
which shows that you end up adding 1 at each recursion level, with an infinite number of recursions (no stop condition). And it just gets larger from there.
khomeyni - sorry for my flawed analysis, thank you for asking why.
harold aptroot - is that a better analysis? I'm asking, not being snide.

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