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 <atul.87fri...@gmail.com> 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 
> <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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-- 
Umer

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