You can use dp to find subsets . But how is dp used for the overall probkem Sent from BlackBerry® on Airtel
-----Original Message----- From: atul anand <[email protected]> Sender: [email protected] Date: Mon, 26 Mar 2012 16:52:08 To: <[email protected]> Reply-To: [email protected] Subject: Re: [algogeeks] Google Question Invoice -bills @umer : dp approach is given in above post. On Mon, Mar 26, 2012 at 4:11 PM, Umer Farooq <[email protected]> wrote: > Well, they have specified in the question that "you are dealing with > big-data sets". So, recursion won't be a good option I guess. > > Can we solve it with dynamic programming technique? > > > On Mon, Mar 26, 2012 at 2:24 PM, atul anand <[email protected]>wrote: > >> 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 <[email protected] >> > 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 <[email protected]> >>> 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 < >>> [email protected]> >>> > 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 [email protected]. >>> >> To unsubscribe from this group, send email to >>> >> [email protected]. >>> >> 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 [email protected]. >>> > To unsubscribe from this group, send email to >>> > [email protected]. >>> > 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 [email protected]. >>> To unsubscribe from this group, send email to >>> [email protected]. >>> 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 [email protected]. >> To unsubscribe from this group, send email to >> [email protected]. >> For more options, visit this group at >> http://groups.google.com/group/algogeeks?hl=en. >> > > > > -- > Umer > > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to [email protected]. > To unsubscribe from this group, send email to > [email protected]. > 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 [email protected]. To unsubscribe from this group, send email to [email protected]. 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 [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
