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+# [[2017-03-10] Challenge #305 [Hard] Numbers for Sale](https://www.reddit.com/r/dailyprogrammer/comments/5yoo87/20170310_challenge_305_hard_numbers_for_sale/)
+
+## Description
+
+KimCo Global, the global corporation from DPRK, is secretly developing an
+awesome new  product for its loyal costumers called Number. It is what is says
+- Number, but not just any Number, each Number is a unique positive integer.
+Each number costs its value - so 1 costs $1, 5 costs $5, etc. KimCo Global puts
+each number from 1 to 10^15 on sale. 
+
+Your friend, a salesman for KimCo Global, needs your help to optimize their
+profits. He received all available Numbers whose sum of digits equals 69 and
+seeks to sell them for the highest value he can. His regular accountant is of
+no help, can you assist?
+
+What is the total of positive integers less than 10^15 whose sum of digits
+equal 69?
+
+## Credit
+
+This challenge was suggested by user /u/raluralu, many thanks. If you have any
+challenge ideaas, please do share them on /r/dailyprogrammer_ideas and there's
+a good chance we'll use them. 
+
+## EDIT 2017-03-11
+
+There's been some discussion about the ambiguity of this challenge - is it
+asking for the *sum* of all of those Numbers or the *quantity* of Numbers that
+fit the constraint? I have to admit the original submission from
+/r/dailyprogrammer_ideas was also a bit ambiguous. I believe the submitter who
+wrote it does not speak English natively, and so they had some ambiguity in
+their presentation. As such, I copied their question complete with ambiguity. 
+
+Because of this, I think either will be fine - the sum or the quantity. 
+
+The real challenge, and why this is a Friday hard one, is writing a better than
+naive solution as some of you have picked up. Some of it is math and some of it
+is programming.