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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: solution (natural extension question) | Comment 5 of 18 |
(In reply to solution by Charlie)

This seems to be the best solution (if duplicates were allowed) -- simply pick the easy solution and add from one while subtracting from the other. Clearly 18/18 has to be the best solution, as any other solution has to use a number at least 18.

What is the integers had to be positive?

Edited on October 30, 2011, 4:01 pm
  Posted by Gamer on 2011-10-30 15:45:31

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