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Special dice (Posted on 2011-10-30) Difficulty: 4 of 5
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?

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (4 votes)

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re: solution | Comment 8 of 18 |
(In reply to solution by Charlie)

The basic solution provided fails in the same manner as did broll's post...there are only 11 different integers, with 1 being duplicated. The problem states that the two six sided dice are marked with 12 different integers, thus a hypothetical best solution would have the highest values on one die being 17 and 19 on the other.  My attempts at finding such has failed, thus I adopted broll's base solution with offset to provide a possible 16-20 solution.

Edited on October 31, 2011, 3:27 am
  Posted by Dej Mar on 2011-10-31 03:08:23

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