one way to do it , is say first combination for invoice 80= 50 + 30 now remove 80 and 30 from the input bills while finding combination from 210 , check if it is possible if yes , we got one solution not select another invoice combination 80= 50 + 10 + 20 now dont consider these values while find combination for 210.
i guess there can be better way to solve this...... On Mon, Mar 26, 2012 at 2:36 PM, Ankush Bagotra <ankush.bago...@gmail.com>wrote: > Ok now you have combination of each invoice . What is the approach to > take mutual exclusive combinations for so that sum of all bills equals > sum of all invoices > > On Mon, Mar 26, 2012 at 2:16 PM, atul anand <atul.87fri...@gmail.com> > wrote: > > it is similar to sum-subset problem following recurrance will solve this > > problem , you need to run algo for each invoice to find all combination > > > > F(n,k) = F(n,k-1) or F(n - a[k], k-1) > > base case :F(0,k)=1 for k>=0 > > F(n,0)= 0 for n>0. > > > > On Mon, Mar 26, 2012 at 1:34 PM, Ankush Bagotra < > ankush.bago...@gmail.com> > > wrote: > >> > >> There are 210 Invoices and 1700 bills – these bills add up to these > >> invoices > >> > >> The association between bills and invoices is lost . The only way to > >> match them is by adding them up to correct amounts that are equal to > >> the invoices. > >> > >> For Example : there were 2 invoices for 80, 210 and you have bills > >> for these 50, 10 ,10, 30 , 20, 70, 100 values > >> > >> One of the possible solution is : > >> > >> 80=50 + 30 > >> 210= 10 + 10 +20 + 70 + 100 > >> > >> Other possible solution is > >> > >> 80=50 + 10 + 20 > >> 210= 30 +20 + 70 + 100 > >> > >> > >> What is the best possible way to get all solutions ? Remember you are > >> dealing with big datasets > >> > >> -Kabir > >> > >> -- > >> 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. > > -- > 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.