Hello and Congratulations for this awesome website! I think there is a wrong expectation in a assert.. It asks for 5 "breaks" but seems that it should need 6 "breaks".

break_rings(({3,4},{5,6},{2,7},{1,5},{2,6},{8,4},{1,7},{4,5},{9,5},{2,3},{8,2},{2,4},{9,6},{5,7},{3,6},{1,3},))