There are six different 6-digit positive integers that add up to a seventh 6-digit integer. Interestingly, all seven of these numbers consist of combinations of only two different digits. That is, only two different digits are used to write the complete set of seven numbers--the same two digits in each number.

So far you can't deduce what the numbers are, but if I were to tell you that seventh number, that is, the total, you'd know what the other six numbers were that made up that total.

What are the seven numbers?

From Enigma No. 1702, "All the sixes",by Ian Kay, New Scientist, 16 June 2012, page 32.

(In reply to

re: IMHO - STILL REDUNDANT by Chris, PhD)

"You claim:

..."There are multiple such examples. My solution is the only solution where given a sum, there is a unique set of answers."

That is true . **NOW READ THIS CAREFULLY**.

** If 818181 **is the **ONLY **sum that qualifies (i.e. has only one unique set of addends) therefore it is redundant to be revealed in the text and should be discovered (D4) by the **SOLVER, **

**Q.E.D.**