[Q9] Genome rearrangements: algebraic distance, permutations

Let α be a 3-cycle and β be an arbitrary permutation. If two of the elements (a, b) of α are both in one cycle of β and the third element (c) is in another cycle, for the composition αβ :

1. The cycle with a and b of β breaks into two new cycles. The cycle with c remains the same.
2. The cycle with c breaks into two new cycles. The cycle with a and b recombines in a different cycle.
3. The two cycles recombines in two new cycles.
4. The two cycles of β join together into a new cycle.
5. None of the above.

Original idea by: Juan Felipe Hernández Albarracín.