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But a sum that is not from 1 to 12 is not allowed?

How about the other dice has three faces marked 0 and three faces marked 6 ?

Yeah.... other dice has three faces marked 0 and three faces marked 6.

that is correct 1 solution!
what about other ?

All faces greater than or equal to 13

that is also correct!
was it so easy :P

Since it's integers anyway, how about all faces less than or equal to -6