A summing problem
hi, there is a positive integer n and i am trying to device an algorithm that gives me all the possible summation combinations. For e.g. n=4 1+3=4 2+2=4 1+1+1+1=4 1+2+1=4 The ordering is not important. Hence there are 4 possible summation combinations. All attempts to make an algorithm gives exponential time solutions. Is there a polynomial time solution to it? Given n, is there a formula that would count all its existing summations? Thank you, Sarad. ____________________________________________________________________________________ Looking for last minute shopping deals? Find them fast with Yahoo! Search. http://tools.search.yahoo.com/newsearch/category.php?category=shopping
if you have matlab http://www.mathworks.com/matlabcentral/newsreader/view_thread/160110 On Feb 12, 2008 5:31 AM, Sarad AV <jtrjtrjtr2001@yahoo.com> wrote:
hi,
there is a positive integer n and i am trying to device an algorithm that gives me all the possible summation combinations.
For e.g. n=4
1+3=4 2+2=4 1+1+1+1=4 1+2+1=4
The ordering is not important. Hence there are 4 possible summation combinations.
All attempts to make an algorithm gives exponential time solutions. Is there a polynomial time solution to it?
Given n, is there a formula that would count all its existing summations?
Thank you, Sarad.
____________________________________________________________________________________ Looking for last minute shopping deals? Find them fast with Yahoo! Search. http://tools.search.yahoo.com/newsearch/category.php?category=shopping
participants (2)
-
Sarad AV
-
silky