[algogeeks] complexity of recursion

2011-09-14 Thread tech coder
an interseting problem

for a fibonacci series
the recurrence relation is
t(n)=t(n-1)+t(n-2)+O(1)
on solving it gives upper bound of O(n^2)

but when draw tree for the recurcsion we see that it is growing
exponentially giving a complexity of O(2^n).

so what is the complexity for fibonaacci series n^2 or 2^n

-- 
*

 Regards*
*The Coder*

*Life is a Game. The more u play, the more u win, the more u win , the more
successfully u play*

-- 
You received this message because you are subscribed to the Google Groups 
Algorithm Geeks group.
To post to this group, send email to algogeeks@googlegroups.com.
To unsubscribe from this group, send email to 
algogeeks+unsubscr...@googlegroups.com.
For more options, visit this group at 
http://groups.google.com/group/algogeeks?hl=en.



Re: [algogeeks] complexity of recursion

2011-09-14 Thread shady
it is O(n)
actually we use memoization in recursion to avoid calculating same
subproblem.

On Wed, Sep 14, 2011 at 9:38 PM, tech coder techcoderonw...@gmail.comwrote:


 an interseting problem

 for a fibonacci series
 the recurrence relation is
 t(n)=t(n-1)+t(n-2)+O(1)
 on solving it gives upper bound of O(n^2)

 but when draw tree for the recurcsion we see that it is growing
 exponentially giving a complexity of O(2^n).

 so what is the complexity for fibonaacci series n^2 or 2^n

 --
 *

  Regards*
 *The Coder*

 *Life is a Game. The more u play, the more u win, the more u win , the
 more successfully u play*

  --
 You received this message because you are subscribed to the Google Groups
 Algorithm Geeks group.
 To post to this group, send email to algogeeks@googlegroups.com.
 To unsubscribe from this group, send email to
 algogeeks+unsubscr...@googlegroups.com.
 For more options, visit this group at
 http://groups.google.com/group/algogeeks?hl=en.


-- 
You received this message because you are subscribed to the Google Groups 
Algorithm Geeks group.
To post to this group, send email to algogeeks@googlegroups.com.
To unsubscribe from this group, send email to 
algogeeks+unsubscr...@googlegroups.com.
For more options, visit this group at 
http://groups.google.com/group/algogeeks?hl=en.