Spike and his Task

Spike the bulldog has some milk bottles and some cheese packets for Tom and Jerry. The milk bottles are denoted by $1$ and the cheese packets by $0$. Spike wants these bottles and the packets to be arranged in an $alternate$ $manner$, i.e. 010101 or 101010. So for this arrangement, he can perform any one of the following 2 operations at a time: - He can swap $any$ two of the things. - He can take