Count the number of ways in which a number 'A' can be broken into a sum of 'B' numbers such that all numbers are co-prime to 'C'

Posted by rajneesh2k10 on Stack Overflow See other posts from Stack Overflow or by rajneesh2k10
Published on 2012-10-02T09:36:09Z Indexed on 2012/10/02 9:37 UTC
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I came across the solution of a problem which involve dynamic-programming approach, solved using a three dimensional matrix.

Link to actual problem is: http://community.topcoder.com/stat?c=problem_statement&pm=12189&rd=15177

Solution to this problem is here under MuddyRoad2: http://apps.topcoder.com/wiki/display/tc/SRM+555

In the last paragraph of explanation, author describes a dynamic programming approach to count the number of ways in which a number 'A' can be broken into a sum of 'B' numbers (not necessarily different), such that every number is co-prime to 3 and the order in which these numbers appear does matter.

I am not able to grasp that approach. Can anyone help me understand how DP is acting here. I can't understand what is a state here and how it is derived from the previous state.

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