Identifier
Mp00074: Posets to graphGraphs
Mp00247: Graphs de-duplicateGraphs
Mp00117: Graphs Ore closure Graphs
Images
([],1) => ([],1) => ([],1) => ([],1)
([],2) => ([],2) => ([],1) => ([],1)
([(0,1)],2) => ([(0,1)],2) => ([(0,1)],2) => ([(0,1)],2)
([],3) => ([],3) => ([],1) => ([],1)
([(1,2)],3) => ([(1,2)],3) => ([(1,2)],3) => ([(1,2)],3)
([(0,1),(0,2)],3) => ([(0,2),(1,2)],3) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(2,1)],3) => ([(0,2),(1,2)],3) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(1,2)],3) => ([(0,2),(1,2)],3) => ([(0,1)],2) => ([(0,1)],2)
([],4) => ([],4) => ([],1) => ([],1)
([(2,3)],4) => ([(2,3)],4) => ([(1,2)],3) => ([(1,2)],3)
([(1,2),(1,3)],4) => ([(1,3),(2,3)],4) => ([(1,2)],3) => ([(1,2)],3)
([(0,1),(0,2),(0,3)],4) => ([(0,3),(1,3),(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(3,1)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => ([(1,2)],3) => ([(1,2)],3)
([(0,3),(3,1),(3,2)],4) => ([(0,3),(1,3),(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(1,3),(2,3)],4) => ([(1,3),(2,3)],4) => ([(1,2)],3) => ([(1,2)],3)
([(0,3),(1,3),(3,2)],4) => ([(0,3),(1,3),(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(1,3),(2,3)],4) => ([(0,3),(1,3),(2,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(2,1),(3,2)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([],5) => ([],5) => ([],1) => ([],1)
([(3,4)],5) => ([(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(2,3),(2,4)],5) => ([(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(1,2),(1,3),(1,4)],5) => ([(1,4),(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(0,1),(0,2),(0,3),(0,4)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(4,1),(4,2)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,2),(1,3),(2,4),(3,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(1,4),(4,2),(4,3)],5) => ([(1,4),(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(0,4),(4,1),(4,2),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(2,4),(3,4)],5) => ([(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(1,4),(2,4),(4,3)],5) => ([(1,4),(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(0,4),(1,4),(4,2),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(1,4),(2,4),(3,4)],5) => ([(1,4),(2,4),(3,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(0,4),(1,4),(2,4),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,4),(2,3)],5) => ([(0,1),(2,4),(3,4)],5) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,4),(2,3),(4,2)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,3),(2,3),(3,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,4),(2,3),(2,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,4),(2,3),(2,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(1,2)],3) => ([(1,2)],3)
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,2),(1,3)],5) => ([(0,1),(2,4),(3,4)],5) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(3,2),(4,3)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(3,4),(4,1),(4,2)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,2),(2,3),(2,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([],6) => ([],6) => ([],1) => ([],1)
([(4,5)],6) => ([(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(3,4),(3,5)],6) => ([(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(2,3),(2,4),(2,5)],6) => ([(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(1,2),(1,3),(1,4),(1,5)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(1,3),(1,4),(1,5),(5,2)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
>>> Load all 2509 entries. <<<
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,4),(1,5),(5,2),(5,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,5),(4,3),(5,2)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(2,3),(3,4),(3,5)],6) => ([(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(1,5),(5,2),(5,3),(5,4)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,4),(4,5),(5,2),(5,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(2,5),(3,5),(5,4)],6) => ([(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(1,5),(2,5),(5,3),(5,4)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(2,5),(3,5),(4,5)],6) => ([(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(1,5),(2,5),(3,5),(5,4)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,5),(2,5),(3,4)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,5),(3,4),(5,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,4),(3,4),(4,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(5,4)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,5),(3,4),(3,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,4),(2,5),(3,4),(3,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,3),(2,5),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,5),(2,3),(2,4),(2,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,2),(1,3),(1,4)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,4),(1,5),(2,3),(2,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2)],3) => ([(1,2)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,3),(3,5),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,5),(4,3),(5,2),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,3),(3,4),(3,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(1,5),(5,2),(5,3)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,4),(2,3),(3,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)
([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([],7) => ([],7) => ([],1) => ([],1)
([(5,6)],7) => ([(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(4,5),(4,6)],7) => ([(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(3,4),(3,5),(3,6)],7) => ([(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(2,3),(2,4),(2,5),(2,6)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,4),(2,5),(2,6),(6,3)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,5),(2,6),(6,3),(6,4)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(3,4),(3,5),(4,6),(5,6)],7) => ([(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,5),(2,6),(5,4),(6,3)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(4,5),(5,6)],7) => ([(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(3,4),(4,5),(4,6)],7) => ([(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(2,6),(6,3),(6,4),(6,5)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(3,4),(4,6),(6,5)],7) => ([(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,5),(5,6),(6,3),(6,4)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(4,6),(5,6)],7) => ([(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(3,6),(4,6),(6,5)],7) => ([(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(2,6),(3,6),(6,4),(6,5)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(3,6),(4,6),(5,6)],7) => ([(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(2,6),(3,6),(4,6),(6,5)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(2,6),(3,6),(4,6),(5,6)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,6),(4,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,6),(3,6),(4,5)],7) => ([(2,3),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(2,6),(3,5),(4,5),(4,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(3,6),(4,5),(6,4)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,6),(3,5),(4,5),(5,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,4),(6,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,6),(3,6),(4,5),(4,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,6),(3,4),(3,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(2,6),(3,6),(4,5),(5,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(3,6),(4,5)],7) => ([(3,6),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(3,6),(4,5),(4,6)],7) => ([(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(3,5),(3,6),(4,5),(4,6)],7) => ([(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,6),(3,4),(3,6),(6,5)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,6),(3,4),(3,5)],7) => ([(2,3),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(2,6),(3,4),(3,5),(3,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,3),(2,4),(2,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(2,6),(3,4),(3,5),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7)
([(1,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(2,5),(2,6),(3,4),(3,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(1,5),(1,6),(2,3),(2,4)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(1,6),(5,3),(5,4),(6,2),(6,5)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(3,6),(4,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,6),(3,4),(4,6),(6,5)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(2,4),(3,5),(5,6)],7) => ([(2,3),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(2,6),(5,4),(6,3),(6,5)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(2,6),(3,4),(4,5),(4,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,5),(2,6),(6,3),(6,4)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(5,4),(6,2),(6,3),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,3),(2,6),(3,4),(3,5),(5,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(2,6),(4,5),(5,3),(6,4)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(2,5),(3,4),(4,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(5,3),(6,4)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)
([(1,6),(4,5),(5,3),(6,2),(6,4)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(2,6),(3,4),(4,5),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)
([(1,6),(2,5),(3,4),(3,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,2)],3) => ([(1,2)],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)
([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,4),(5,3),(6,5)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,5),(4,3),(5,6),(6,2),(6,4)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,6),(6,3)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)
([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9) => ([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9) => ([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9) => ([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10)
([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16) => ([(0,15),(1,11),(2,10),(3,13),(3,15),(4,14),(4,15),(5,10),(5,13),(6,11),(6,14),(7,8),(7,9),(7,12),(8,10),(8,13),(9,11),(9,14),(12,13),(12,14),(12,15)],16) => ([(0,15),(1,11),(2,10),(3,13),(3,15),(4,14),(4,15),(5,10),(5,13),(6,11),(6,14),(7,8),(7,9),(7,12),(8,10),(8,13),(9,11),(9,14),(12,13),(12,14),(12,15)],16) => ([(0,15),(1,11),(2,10),(3,13),(3,15),(4,14),(4,15),(5,10),(5,13),(6,11),(6,14),(7,8),(7,9),(7,12),(8,10),(8,13),(9,11),(9,14),(12,13),(12,14),(12,15)],16)
([(0,10),(1,9),(2,8),(3,8),(3,9),(3,10),(5,11),(6,11),(7,11),(8,5),(8,6),(9,5),(9,7),(10,6),(10,7),(11,4)],12) => ([(0,11),(1,10),(2,9),(3,8),(4,8),(4,9),(4,10),(5,8),(5,9),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11)],12) => ([(0,11),(1,10),(2,9),(3,8),(4,8),(4,9),(4,10),(5,8),(5,9),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11)],12) => ([(0,11),(1,10),(2,9),(3,8),(4,8),(4,9),(4,10),(5,8),(5,9),(5,11),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11)],12)
([(0,18),(1,19),(2,18),(2,22),(3,19),(3,22),(4,6),(6,5),(7,11),(8,16),(9,17),(10,13),(10,14),(11,4),(12,23),(13,8),(13,23),(14,9),(14,23),(15,11),(16,15),(17,7),(17,15),(18,20),(19,21),(20,12),(20,13),(21,12),(21,14),(22,10),(22,20),(22,21),(23,16),(23,17)],24) => ([(0,15),(1,16),(2,9),(3,15),(3,22),(4,16),(4,22),(5,17),(5,19),(6,12),(6,17),(7,9),(7,12),(8,13),(8,18),(10,18),(10,19),(10,22),(11,20),(11,21),(11,23),(12,14),(13,14),(13,23),(14,17),(15,20),(16,21),(17,23),(18,20),(18,23),(19,21),(19,23),(20,22),(21,22)],24) => ([(0,15),(1,16),(2,9),(3,15),(3,22),(4,16),(4,22),(5,17),(5,19),(6,12),(6,17),(7,9),(7,12),(8,13),(8,18),(10,18),(10,19),(10,22),(11,20),(11,21),(11,23),(12,14),(13,14),(13,23),(14,17),(15,20),(16,21),(17,23),(18,20),(18,23),(19,21),(19,23),(20,22),(21,22)],24) => ([(0,15),(1,16),(2,9),(3,15),(3,22),(4,16),(4,22),(5,17),(5,19),(6,12),(6,17),(7,9),(7,12),(8,13),(8,18),(10,18),(10,19),(10,22),(11,20),(11,21),(11,23),(12,14),(13,14),(13,23),(14,17),(15,20),(16,21),(17,23),(18,20),(18,23),(19,21),(19,23),(20,22),(21,22)],24)
([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15) => ([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15) => ([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15) => ([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15)
([(0,18),(1,17),(2,18),(2,24),(3,23),(3,24),(4,17),(4,23),(6,15),(7,16),(8,9),(9,5),(10,12),(11,13),(12,11),(13,14),(14,9),(15,7),(15,21),(16,8),(16,14),(17,10),(18,6),(18,19),(19,15),(19,22),(20,12),(20,22),(21,13),(21,16),(22,11),(22,21),(23,10),(23,20),(24,19),(24,20)],25) => ([(0,24),(1,15),(2,14),(3,20),(3,22),(4,21),(4,23),(5,20),(5,24),(6,21),(6,24),(7,14),(7,22),(8,15),(8,23),(9,12),(9,14),(9,22),(10,13),(10,15),(10,23),(11,12),(11,13),(11,17),(12,18),(13,19),(16,17),(16,20),(16,21),(16,24),(17,18),(17,19),(18,20),(18,22),(19,21),(19,23)],25) => ([(0,24),(1,15),(2,14),(3,20),(3,22),(4,21),(4,23),(5,20),(5,24),(6,21),(6,24),(7,14),(7,22),(8,15),(8,23),(9,12),(9,14),(9,22),(10,13),(10,15),(10,23),(11,12),(11,13),(11,17),(12,18),(13,19),(16,17),(16,20),(16,21),(16,24),(17,18),(17,19),(18,20),(18,22),(19,21),(19,23)],25) => ([(0,24),(1,15),(2,14),(3,20),(3,22),(4,21),(4,23),(5,20),(5,24),(6,21),(6,24),(7,14),(7,22),(8,15),(8,23),(9,12),(9,14),(9,22),(10,13),(10,15),(10,23),(11,12),(11,13),(11,17),(12,18),(13,19),(16,17),(16,20),(16,21),(16,24),(17,18),(17,19),(18,20),(18,22),(19,21),(19,23)],25)
([(0,13),(1,16),(2,15),(3,13),(3,17),(4,15),(4,16),(4,17),(6,10),(7,19),(8,19),(9,18),(10,5),(11,7),(11,18),(12,8),(12,18),(13,14),(14,7),(14,8),(15,9),(15,11),(16,9),(16,12),(17,11),(17,12),(17,14),(18,6),(18,19),(19,10)],20) => ([(0,17),(1,16),(2,11),(3,10),(4,10),(4,18),(5,11),(5,19),(6,16),(6,17),(6,18),(7,16),(7,17),(7,19),(8,12),(8,13),(8,14),(9,12),(9,13),(9,15),(10,12),(11,13),(12,18),(13,19),(14,16),(14,18),(14,19),(15,17),(15,18),(15,19)],20) => ([(0,17),(1,16),(2,11),(3,10),(4,10),(4,18),(5,11),(5,19),(6,16),(6,17),(6,18),(7,16),(7,17),(7,19),(8,12),(8,13),(8,14),(9,12),(9,13),(9,15),(10,12),(11,13),(12,18),(13,19),(14,16),(14,18),(14,19),(15,17),(15,18),(15,19)],20) => ([(0,17),(1,16),(2,11),(3,10),(4,10),(4,18),(5,11),(5,19),(6,16),(6,17),(6,18),(7,16),(7,17),(7,19),(8,12),(8,13),(8,14),(9,12),(9,13),(9,15),(10,12),(11,13),(12,18),(13,19),(14,16),(14,18),(14,19),(15,17),(15,18),(15,19)],20)
([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,13),(4,18),(5,14),(5,19),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,17),(16,10),(16,17),(17,11),(17,12),(18,7),(18,15),(19,8),(19,16),(20,15),(20,16)],21) => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21) => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21) => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21)
([(0,23),(1,22),(2,23),(2,34),(3,33),(3,34),(4,33),(4,35),(5,22),(5,35),(7,20),(8,19),(9,21),(10,11),(11,6),(12,16),(13,15),(14,13),(15,17),(16,14),(17,18),(18,11),(19,9),(19,27),(20,8),(20,28),(21,10),(21,18),(22,12),(23,7),(23,24),(24,20),(24,32),(25,16),(25,31),(26,31),(26,32),(27,17),(27,21),(28,19),(28,29),(29,15),(29,27),(30,13),(30,29),(31,14),(31,30),(32,28),(32,30),(33,25),(33,26),(34,24),(34,26),(35,12),(35,25)],36) => ([(0,35),(1,19),(2,18),(3,29),(3,31),(4,30),(4,32),(5,29),(5,33),(6,30),(6,34),(7,31),(7,35),(8,32),(8,35),(9,18),(9,33),(10,19),(10,34),(11,16),(11,18),(11,33),(12,17),(12,19),(12,34),(13,14),(13,15),(13,24),(14,16),(14,25),(15,17),(15,26),(16,27),(17,28),(20,21),(20,22),(20,23),(20,24),(21,25),(21,29),(21,31),(22,26),(22,30),(22,32),(23,31),(23,32),(23,35),(24,25),(24,26),(25,27),(26,28),(27,29),(27,33),(28,30),(28,34)],36) => ([(0,35),(1,19),(2,18),(3,29),(3,31),(4,30),(4,32),(5,29),(5,33),(6,30),(6,34),(7,31),(7,35),(8,32),(8,35),(9,18),(9,33),(10,19),(10,34),(11,16),(11,18),(11,33),(12,17),(12,19),(12,34),(13,14),(13,15),(13,24),(14,16),(14,25),(15,17),(15,26),(16,27),(17,28),(20,21),(20,22),(20,23),(20,24),(21,25),(21,29),(21,31),(22,26),(22,30),(22,32),(23,31),(23,32),(23,35),(24,25),(24,26),(25,27),(26,28),(27,29),(27,33),(28,30),(28,34)],36) => ([(0,35),(1,19),(2,18),(3,29),(3,31),(4,30),(4,32),(5,29),(5,33),(6,30),(6,34),(7,31),(7,35),(8,32),(8,35),(9,18),(9,33),(10,19),(10,34),(11,16),(11,18),(11,33),(12,17),(12,19),(12,34),(13,14),(13,15),(13,24),(14,16),(14,25),(15,17),(15,26),(16,27),(17,28),(20,21),(20,22),(20,23),(20,24),(21,25),(21,29),(21,31),(22,26),(22,30),(22,32),(23,31),(23,32),(23,35),(24,25),(24,26),(25,27),(26,28),(27,29),(27,33),(28,30),(28,34)],36)
([(0,24),(1,23),(2,20),(3,22),(3,26),(4,20),(4,22),(5,23),(5,24),(5,26),(7,12),(8,19),(9,27),(10,29),(11,29),(12,6),(13,16),(13,27),(14,17),(14,27),(15,21),(16,10),(16,28),(17,11),(17,28),(18,12),(19,7),(19,18),(20,15),(21,10),(21,11),(22,15),(22,25),(23,9),(23,13),(24,9),(24,14),(25,16),(25,17),(25,21),(26,13),(26,14),(26,25),(27,8),(27,28),(28,19),(28,29),(29,18)],30) => ([(0,25),(1,24),(2,15),(3,14),(4,22),(4,28),(5,23),(5,29),(6,14),(6,22),(7,15),(7,23),(8,18),(8,20),(8,21),(9,19),(9,20),(9,21),(10,24),(10,25),(10,28),(11,24),(11,25),(11,29),(12,14),(12,20),(12,22),(13,15),(13,21),(13,23),(16,18),(16,24),(16,28),(16,29),(17,19),(17,25),(17,28),(17,29),(18,26),(18,27),(19,26),(19,27),(20,26),(21,27),(22,26),(23,27),(26,28),(27,29)],30) => ([(0,25),(1,24),(2,15),(3,14),(4,22),(4,28),(5,23),(5,29),(6,14),(6,22),(7,15),(7,23),(8,18),(8,20),(8,21),(9,19),(9,20),(9,21),(10,24),(10,25),(10,28),(11,24),(11,25),(11,29),(12,14),(12,20),(12,22),(13,15),(13,21),(13,23),(16,18),(16,24),(16,28),(16,29),(17,19),(17,25),(17,28),(17,29),(18,26),(18,27),(19,26),(19,27),(20,26),(21,27),(22,26),(23,27),(26,28),(27,29)],30) => ([(0,25),(1,24),(2,15),(3,14),(4,22),(4,28),(5,23),(5,29),(6,14),(6,22),(7,15),(7,23),(8,18),(8,20),(8,21),(9,19),(9,20),(9,21),(10,24),(10,25),(10,28),(11,24),(11,25),(11,29),(12,14),(12,20),(12,22),(13,15),(13,21),(13,23),(16,18),(16,24),(16,28),(16,29),(17,19),(17,25),(17,28),(17,29),(18,26),(18,27),(19,26),(19,27),(20,26),(21,27),(22,26),(23,27),(26,28),(27,29)],30)
([(0,28),(1,24),(2,23),(3,23),(3,29),(4,24),(4,30),(5,28),(5,29),(5,30),(6,7),(8,19),(9,20),(10,14),(10,15),(11,34),(12,32),(13,33),(14,8),(14,35),(15,9),(15,35),(16,6),(17,12),(17,31),(18,13),(18,31),(19,16),(20,16),(21,11),(21,32),(22,11),(22,33),(23,26),(24,27),(25,21),(25,22),(25,31),(26,12),(26,21),(27,13),(27,22),(28,17),(28,18),(29,17),(29,25),(29,26),(30,18),(30,25),(30,27),(31,10),(31,32),(31,33),(32,14),(32,34),(33,15),(33,34),(34,35),(35,19),(35,20)],36) => ([(0,28),(1,18),(2,17),(3,8),(4,15),(4,26),(5,16),(5,27),(6,17),(6,33),(7,18),(7,34),(8,10),(9,28),(9,33),(9,34),(10,15),(10,16),(11,26),(11,27),(11,35),(12,19),(12,22),(12,30),(13,20),(13,23),(13,31),(14,21),(14,24),(14,25),(15,29),(16,29),(17,22),(18,23),(19,28),(19,33),(19,35),(20,28),(20,34),(20,35),(21,29),(21,30),(21,31),(22,24),(22,33),(23,25),(23,34),(24,30),(24,32),(25,31),(25,32),(26,29),(26,30),(27,29),(27,31),(30,35),(31,35),(32,33),(32,34),(32,35)],36) => ([(0,28),(1,18),(2,17),(3,8),(4,15),(4,26),(5,16),(5,27),(6,17),(6,33),(7,18),(7,34),(8,10),(9,28),(9,33),(9,34),(10,15),(10,16),(11,26),(11,27),(11,35),(12,19),(12,22),(12,30),(13,20),(13,23),(13,31),(14,21),(14,24),(14,25),(15,29),(16,29),(17,22),(18,23),(19,28),(19,33),(19,35),(20,28),(20,34),(20,35),(21,29),(21,30),(21,31),(22,24),(22,33),(23,25),(23,34),(24,30),(24,32),(25,31),(25,32),(26,29),(26,30),(27,29),(27,31),(30,35),(31,35),(32,33),(32,34),(32,35)],36) => ([(0,28),(1,18),(2,17),(3,8),(4,15),(4,26),(5,16),(5,27),(6,17),(6,33),(7,18),(7,34),(8,10),(9,28),(9,33),(9,34),(10,15),(10,16),(11,26),(11,27),(11,35),(12,19),(12,22),(12,30),(13,20),(13,23),(13,31),(14,21),(14,24),(14,25),(15,29),(16,29),(17,22),(18,23),(19,28),(19,33),(19,35),(20,28),(20,34),(20,35),(21,29),(21,30),(21,31),(22,24),(22,33),(23,25),(23,34),(24,30),(24,32),(25,31),(25,32),(26,29),(26,30),(27,29),(27,31),(30,35),(31,35),(32,33),(32,34),(32,35)],36)
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10)
([(0,8),(1,14),(3,13),(4,12),(5,11),(6,7),(6,12),(7,5),(7,9),(8,4),(8,6),(9,11),(9,13),(10,14),(11,10),(12,3),(12,9),(13,1),(13,10),(14,2)],15) => ([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15) => ([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15) => ([(0,11),(1,10),(2,8),(2,9),(3,10),(3,13),(4,11),(4,14),(5,13),(5,14),(6,8),(6,10),(6,13),(7,9),(7,11),(7,14),(8,12),(9,12),(12,13),(12,14)],15)
([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21) => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21) => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,11),(4,12),(5,13),(5,18),(6,14),(6,19),(7,9),(7,13),(7,18),(8,10),(8,14),(8,19),(9,11),(9,15),(10,12),(10,16),(11,17),(12,17),(15,17),(15,18),(15,20),(16,17),(16,19),(16,20)],21)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,1)],2) => ([(0,1)],2)
([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => ([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)
([(0,7),(1,6),(2,5),(3,4)],8) => ([(0,7),(1,6),(2,5),(3,4)],8) => ([(0,7),(1,6),(2,5),(3,4)],8) => ([(0,7),(1,6),(2,5),(3,4)],8)
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)
([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,7),(1,6),(1,7),(4,5),(5,2),(6,4),(7,3)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,5),(1,6),(3,7),(4,3),(5,4),(6,2),(6,7)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(7,4)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8) => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
Map
to graph
Description
Returns the Hasse diagram of the poset as an undirected graph.
Map
de-duplicate
Description
The de-duplicate of a graph.
Let $G = (V, E)$ be a graph. This map yields the graph whose vertex set is the set of (distinct) neighbourhoods $\{N_v | v \in V\}$ of $G$, and has an edge $(N_a, N_b)$ between two vertices if and only if $(a, b)$ is an edge of $G$. This is well-defined, because if $N_a = N_c$ and $N_b = N_d$, then $(a, b)\in E$ if and only if $(c, d)\in E$.
The image of this map is the set of so-called 'mating graphs' or 'point-determining graphs'.
This map preserves the chromatic number.
Map
Ore closure
Description
The Ore closure of a graph.
The Ore closure of a connected graph $G$ has the same vertices as $G$, and the smallest set of edges containing the edges of $G$ such that for any two vertices $u$ and $v$ whose sum of degrees is at least the number of vertices, then $(u,v)$ is also an edge.
For disconnected graphs, we compute the closure separately for each component.