the DP is not clear, can you give example on how this DP would work for n
invoices and k bills?
Why is F(0,k) = 1?

Best Regards
Ashish Goel
"Think positive and find fuel in failure"
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+919966006652


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
>>
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