Question 5
Mindy has two boxes, containing 0 and $n$ pieces of candy respectively, where $n$ is a positive integer. She adds 4, 3 and 2 pieces of candy to one of the boxes in that order, always adding to the box containing fewer pieces of candies. If the two boxes have the same number of pieces of candy, then she adds to either of them. In the end, there is 1 more piece of candy in one box than in the other. How many possible values of $n$ are there?