>>230289First spot to left or right is 0.5 units from center, second 1.5 units, third 2.5 units. One side must have an even number of eggs and the other must have an odd number. Therefore, one side must have a total distance that's an integer and the other side would have a total distance ending in point 5. Since all the eggs weigh the same (am I allowed to assume this?), both sides won't balance with respect to the center of the long side of the carton.