Two six sided dice are marked with 12 different integers, so that any number from 1 to 36 can be derived when both dice are thrown and the showing face-up values are added.
What is the lowest possible value of the highest number on one of the dice faces?
(In reply to well... (possible spoiler)
The sets are ok.
I DO NOT HAVE A FORMAL PROOF OF 21 BEING THE LOWEST NUMBER WITHOUT REDUNDANCY
Edited on October 31, 2011, 2:28 pm