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
> >>
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