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Put your math hats on......
I'm looking at a means to *attempt* to auto-match payments to invoices. We do not want to apply payments to oldest first and end up with a partial payment or credit leftover.
Pick an arbitrary number of invoices for the attempt - say 10.
Any combination of 1 or more of these 10 invoices that total the payment amount would be considered a match.
Could be invoice 1, or 2, or.... Could be invoices 2 and 5 and 8..... etc.
I assume it's going to have to be a brute force approach but I'm stumped on the total # of possible matches. Combinations & permutations I understand (3 out of 10, etc) but this "1 or 2 or (1 and 2) or (2 and 5 and 8)" is giving me a mind block. I do know it's a big number and I'll likely cut back the sampling size.
Any suggestions or clarifications would be very welcome.
Thanks.
Roger Harman
COMMON Certified Application
Developer – ILE RPG on IBM i on Power
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