1. Eight cards have the numbers $1,1,2,2,3,3,4,4$ written on them. Can these cards be placed in a row so that there is one card between the ones, two cards between the twos, three cards between the threes, and exactly four cards between the fours?
Answer: Yes.

Solution: For example, this: 41312432.

Instructions for checking:

The score can only be one of two: 0 points or 7 points.