All you need to do is set it to music, so that at the end of the set each 1-factor of the factorization has been represented for a verse. You'd probably need a

All you need to do is set it to music, so that at the end of the set each 1-factor of the factorization has been represented for a verse. You'd probably need a distinct song and pattern for each group size. If your dancers are some mixture of male/female/het/homo/bi such that you don't have a complete graph or other easy problem then you may need to have a computer-augmented dance caller.